simple demo of Newtons method root finding evaluate p(z) at z = (2.4,2.3) polynomial p of degree 20 p^20 = (1,0) p^19 = (0,0) p^18 = (0,0) p^17 = (0,0) p^16 = (0,0) p^15 = (0,0) p^14 = (0,0) p^13 = (0,0) p^12 = (0,0) p^11 = (0,0) p^10 = (0,0) p^9 = (0,0) p^8 = (0,0) p^7 = (0,0) p^6 = (0,0) p^5 = (0,0) p^4 = (0,0) p^3 = (0,0) p^2 = (0,0) p^1 = (0,0) p^0 = (9.53674e+013,0) (9.53427e+013,1.12023e+010) = value of function polynomial der of degree 19 der^19 = (20,0) der^18 = (0,0) der^17 = (0,0) der^16 = (0,0) der^15 = (0,0) der^14 = (0,0) der^13 = (0,0) der^12 = (0,0) der^11 = (0,0) der^10 = (0,0) der^9 = (0,0) der^8 = (0,0) der^7 = (0,0) der^6 = (0,0) der^5 = (0,0) der^4 = (0,0) der^3 = (0,0) der^2 = (0,0) der^1 = (0,0) der^0 = (0,0) find 20th root 0th guess x0= (2.4,2.3) y0= (9.53427e+013,1.12023e+010) dy0= (-6.07518e+010,1.51573e+011) next x1= (219.558,544.283) y1= (4.33597e+054,-2.31074e+055) 1th guess x0= (219.558,544.283) y0= (4.33597e+054,-2.31074e+055) dy0= (-6.74987e+053,-4.3161e+053) next x1= (208.58,517.069) y1= (1.55438e+054,-8.28367e+054) 2th guess x0= (208.58,517.069) y0= (1.55438e+054,-8.28367e+054) dy0= (-2.54709e+053,-1.6287e+053) next x1= (198.151,491.216) y1= (5.57225e+053,-2.96958e+054) 3th guess x0= (198.151,491.216) y0= (5.57225e+053,-2.96958e+054) dy0= (-9.61152e+052,-6.14594e+052) next x1= (188.244,466.655) y1= (1.99757e+053,-1.06455e+054) 4th guess x0= (188.244,466.655) y0= (1.99757e+053,-1.06455e+054) dy0= (-3.62694e+052,-2.31919e+052) next x1= (178.831,443.322) y1= (7.16101e+052,-3.81627e+053) 5th guess x0= (178.831,443.322) y0= (7.16101e+052,-3.81627e+053) dy0= (-1.36864e+052,-8.75156e+051) next x1= (169.89,421.156) y1= (2.56712e+052,-1.36808e+053) 6th guess x0= (169.89,421.156) y0= (2.56712e+052,-1.36808e+053) dy0= (-5.16461e+051,-3.30243e+051) next x1= (161.395,400.098) y1= (9.20277e+051,-4.90437e+052) 7th guess x0= (161.395,400.098) y0= (9.20277e+051,-4.90437e+052) dy0= (-1.94888e+051,-1.24618e+051) next x1= (153.326,380.093) y1= (3.29906e+051,-1.75815e+052) 8th guess x0= (153.326,380.093) y0= (3.29906e+051,-1.75815e+052) dy0= (-7.35419e+050,-4.70252e+050) next x1= (145.659,361.089) y1= (1.18267e+051,-6.30271e+051) 9th guess x0= (145.659,361.089) y0= (1.18267e+051,-6.30271e+051) dy0= (-2.77513e+050,-1.77451e+050) next x1= (138.376,343.034) y1= (4.2397e+050,-2.25943e+051) 10th guess x0= (138.376,343.034) y0= (4.2397e+050,-2.25943e+051) dy0= (-1.0472e+050,-6.69619e+049) next x1= (131.458,325.883) y1= (1.51987e+050,-8.09975e+050) 11th guess x0= (131.458,325.883) y0= (1.51987e+050,-8.09975e+050) dy0= (-3.95167e+049,-2.52683e+049) next x1= (124.885,309.588) y1= (5.44853e+049,-2.90365e+050) 12th guess x0= (124.885,309.588) y0= (5.44853e+049,-2.90365e+050) dy0= (-1.49118e+049,-9.53509e+048) next x1= (118.64,294.109) y1= (1.95322e+049,-1.04092e+050) 13th guess x0= (118.64,294.109) y0= (1.95322e+049,-1.04092e+050) dy0= (-5.627e+048,-3.5981e+048) next x1= (112.708,279.404) y1= (7.00202e+048,-3.73154e+049) 14th guess x0= (112.708,279.404) y0= (7.00202e+048,-3.73154e+049) dy0= (-2.12337e+048,-1.35776e+048) next x1= (107.073,265.433) y1= (2.51013e+048,-1.3377e+049) 15th guess x0= (107.073,265.433) y0= (2.51013e+048,-1.3377e+049) dy0= (-8.01261e+047,-5.12354e+047) next x1= (101.719,252.162) y1= (8.99845e+047,-4.79548e+048) 16th guess x0= (101.719,252.162) y0= (8.99845e+047,-4.79548e+048) dy0= (-3.02359e+047,-1.93339e+047) next x1= (96.6334,239.554) y1= (3.22582e+047,-1.71911e+048) 17th guess x0= (96.6334,239.554) y0= (3.22582e+047,-1.71911e+048) dy0= (-1.14096e+047,-7.29571e+046) next x1= (91.8017,227.576) y1= (1.15641e+047,-6.16278e+047) 18th guess x0= (91.8017,227.576) y0= (1.15641e+047,-6.16278e+047) dy0= (-4.30546e+046,-2.75306e+046) next x1= (87.2116,216.197) y1= (4.14557e+046,-2.20927e+047) 19th guess x0= (87.2116,216.197) y0= (4.14557e+046,-2.20927e+047) dy0= (-1.62468e+046,-1.03888e+046) next x1= (82.851,205.387) y1= (1.48613e+046,-7.91992e+046) 20th guess x0= (82.851,205.387) y0= (1.48613e+046,-7.91992e+046) dy0= (-6.13079e+045,-3.92024e+045) next x1= (78.7085,195.118) y1= (5.32756e+045,-2.83918e+046) 21th guess x0= (78.7085,195.118) y0= (5.32756e+045,-2.83918e+046) dy0= (-2.31348e+045,-1.47932e+045) next x1= (74.7731,185.362) y1= (1.90985e+045,-1.01781e+046) 22th guess x0= (74.7731,185.362) y0= (1.90985e+045,-1.01781e+046) dy0= (-8.72999e+044,-5.58226e+044) next x1= (71.0344,176.094) y1= (6.84656e+044,-3.64869e+045) 23th guess x0= (71.0344,176.094) y0= (6.84656e+044,-3.64869e+045) dy0= (-3.29429e+044,-2.10649e+044) next x1= (67.4827,167.289) y1= (2.4544e+044,-1.308e+045) 24th guess x0= (67.4827,167.289) y0= (2.4544e+044,-1.308e+045) dy0= (-1.24311e+044,-7.9489e+043) next x1= (64.1086,158.925) y1= (8.79866e+043,-4.68901e+044) 25th guess x0= (64.1086,158.925) y0= (8.79866e+043,-4.68901e+044) dy0= (-4.69093e+043,-2.99955e+043) next x1= (60.9031,150.979) y1= (3.1542e+043,-1.68094e+044) 26th guess x0= (60.9031,150.979) y0= (3.1542e+043,-1.68094e+044) dy0= (-1.77014e+043,-1.13189e+043) next x1= (57.858,143.43) y1= (1.13073e+043,-6.02595e+043) 27th guess x0= (57.858,143.43) y0= (1.13073e+043,-6.02595e+043) dy0= (-6.67969e+042,-4.27122e+042) next x1= (54.9651,136.258) y1= (4.05353e+042,-2.16022e+043) 28th guess x0= (54.9651,136.258) y0= (4.05353e+042,-2.16022e+043) dy0= (-2.5206e+042,-1.61176e+042) next x1= (52.2168,129.445) y1= (1.45313e+042,-7.74407e+042) 29th guess x0= (52.2168,129.445) y0= (1.45313e+042,-7.74407e+042) dy0= (-9.51159e+041,-6.08204e+041) next x1= (49.606,122.973) y1= (5.20927e+041,-2.77614e+042) 30th guess x0= (49.606,122.973) y0= (5.20927e+041,-2.77614e+042) dy0= (-3.58923e+041,-2.29508e+041) next x1= (47.1257,116.824) y1= (1.86745e+041,-9.95208e+041) 31th guess x0= (47.1257,116.824) y0= (1.86745e+041,-9.95208e+041) dy0= (-1.35441e+041,-8.66057e+040) next x1= (44.7694,110.983) y1= (6.69455e+040,-3.56768e+041) 32th guess x0= (44.7694,110.983) y0= (6.69455e+040,-3.56768e+041) dy0= (-5.11091e+040,-3.2681e+040) next x1= (42.5309,105.434) y1= (2.3999e+040,-1.27896e+041) 33th guess x0= (42.5309,105.434) y0= (2.3999e+040,-1.27896e+041) dy0= (-1.92862e+040,-1.23323e+040) next x1= (40.4044,100.162) y1= (8.60331e+039,-4.5849e+040) 34th guess x0= (40.4044,100.162) y0= (8.60331e+039,-4.5849e+040) dy0= (-7.27773e+039,-4.65363e+039) next x1= (38.3842,95.1541) y1= (3.08417e+039,-1.64362e+040) 35th guess x0= (38.3842,95.1541) y0= (3.08417e+039,-1.64362e+040) dy0= (-2.74628e+039,-1.75606e+039) next x1= (36.465,90.3964) y1= (1.10563e+039,-5.89216e+039) 36th guess x0= (36.465,90.3964) y0= (1.10563e+039,-5.89216e+039) dy0= (-1.03632e+039,-6.62657e+038) next x1= (34.6417,85.8766) y1= (3.96353e+038,-2.11226e+039) 37th guess x0= (34.6417,85.8766) y0= (3.96353e+038,-2.11226e+039) dy0= (-3.91058e+038,-2.50056e+038) next x1= (32.9096,81.5828) y1= (1.42087e+038,-7.57214e+038) 38th guess x0= (32.9096,81.5828) y0= (1.42087e+038,-7.57214e+038) dy0= (-1.47567e+038,-9.43596e+037) next x1= (31.2641,77.5036) y1= (5.09361e+037,-2.7145e+038) 39th guess x0= (31.2641,77.5036) y0= (5.09361e+037,-2.7145e+038) dy0= (-5.5685e+037,-3.56069e+037) next x1= (29.7009,73.6285) y1= (1.82599e+037,-9.73112e+037) 40th guess x0= (29.7009,73.6285) y0= (1.82599e+037,-9.73112e+037) dy0= (-2.10129e+037,-1.34364e+037) next x1= (28.2159,69.947) y1= (6.54591e+036,-3.48847e+037) 41th guess x0= (28.2159,69.947) y0= (6.54591e+036,-3.48847e+037) dy0= (-7.92931e+036,-5.07027e+036) next x1= (26.8051,66.4497) y1= (2.34662e+036,-1.25057e+037) 42th guess x0= (26.8051,66.4497) y0= (2.34662e+036,-1.25057e+037) dy0= (-2.99215e+036,-1.91329e+036) next x1= (25.4648,63.1272) y1= (8.4123e+035,-4.48311e+036) 43th guess x0= (25.4648,63.1272) y0= (8.4123e+035,-4.48311e+036) dy0= (-1.1291e+036,-7.21985e+035) next x1= (24.1916,59.9708) y1= (3.01569e+035,-1.60713e+036) 44th guess x0= (24.1916,59.9708) y0= (3.01569e+035,-1.60713e+036) dy0= (-4.2607e+035,-2.72444e+035) next x1= (22.982,56.9723) y1= (1.08108e+035,-5.76134e+035) 45th guess x0= (22.982,56.9723) y0= (1.08108e+035,-5.76134e+035) dy0= (-1.60779e+035,-1.02808e+035) next x1= (21.8329,54.1237) y1= (3.87553e+034,-2.06536e+035) 46th guess x0= (21.8329,54.1237) y0= (3.87553e+034,-2.06536e+035) dy0= (-6.06705e+034,-3.87948e+034) next x1= (20.7413,51.4175) y1= (1.38932e+034,-7.40402e+034) 47th guess x0= (20.7413,51.4175) y0= (1.38932e+034,-7.40402e+034) dy0= (-2.28942e+034,-1.46394e+034) next x1= (19.7042,48.8466) y1= (4.98052e+033,-2.65424e+034) 48th guess x0= (19.7042,48.8466) y0= (4.98052e+033,-2.65424e+034) dy0= (-8.63922e+033,-5.52422e+033) next x1= (18.719,46.4043) y1= (1.78545e+033,-9.51506e+033) 49th guess x0= (18.719,46.4043) y0= (1.78545e+033,-9.51506e+033) dy0= (-3.26004e+033,-2.08458e+033) next x1= (17.783,44.0841) y1= (6.40058e+032,-3.41102e+033) 50th guess x0= (17.783,44.0841) y0= (6.40058e+032,-3.41102e+033) dy0= (-1.23019e+033,-7.86625e+032) next x1= (16.8939,41.8799) y1= (2.29452e+032,-1.2228e+033) 51th guess x0= (16.8939,41.8799) y0= (2.29452e+032,-1.2228e+033) dy0= (-4.64216e+032,-2.96836e+032) next x1= (16.0492,39.7859) y1= (8.22552e+031,-4.38357e+032) 52th guess x0= (16.0492,39.7859) y0= (8.22552e+031,-4.38357e+032) dy0= (-1.75174e+032,-1.12012e+032) next x1= (15.2467,37.7966) y1= (2.94873e+031,-1.57145e+032) 53th guess x0= (15.2467,37.7966) y0= (2.94873e+031,-1.57145e+032) dy0= (-6.61024e+031,-4.22682e+031) next x1= (14.4844,35.9068) y1= (1.05708e+031,-5.63342e+031) 54th guess x0= (14.4844,35.9068) y0= (1.05708e+031,-5.63342e+031) dy0= (-2.4944e+031,-1.595e+031) next x1= (13.7602,34.1114) y1= (3.78948e+030,-2.0195e+031) 55th guess x0= (13.7602,34.1114) y0= (3.78948e+030,-2.0195e+031) dy0= (-9.4127e+030,-6.01881e+030) next x1= (13.0722,32.4059) y1= (1.35848e+030,-7.23963e+030) 56th guess x0= (13.0722,32.4059) y0= (1.35848e+030,-7.23963e+030) dy0= (-3.55192e+030,-2.27122e+030) next x1= (12.4186,30.7856) y1= (4.86994e+029,-2.59531e+030) 57th guess x0= (12.4186,30.7856) y0= (4.86994e+029,-2.59531e+030) dy0= (-1.34033e+030,-8.57052e+029) next x1= (11.7976,29.2463) y1= (1.74581e+029,-9.30381e+029) 58th guess x0= (11.7976,29.2463) y0= (1.74581e+029,-9.30381e+029) dy0= (-5.05778e+029,-3.23412e+029) next x1= (11.2078,27.784) y1= (6.25847e+028,-3.33528e+029) 59th guess x0= (11.2078,27.784) y0= (6.25847e+028,-3.33528e+029) dy0= (-1.90857e+029,-1.22041e+029) next x1= (10.6474,26.3948) y1= (2.24357e+028,-1.19565e+029) 60th guess x0= (10.6474,26.3948) y0= (2.24357e+028,-1.19565e+029) dy0= (-7.20206e+028,-4.60525e+028) next x1= (10.115,25.075) y1= (8.0429e+027,-4.28624e+028) 61th guess x0= (10.115,25.075) y0= (8.0429e+027,-4.28624e+028) dy0= (-2.71772e+028,-1.73781e+028) next x1= (9.60925,23.8213) y1= (2.88326e+027,-1.53656e+028) 62th guess x0= (9.60925,23.8213) y0= (2.88326e+027,-1.53656e+028) dy0= (-1.02554e+028,-6.55768e+027) next x1= (9.12878,22.6302) y1= (1.03361e+027,-5.50835e+027) 63th guess x0= (9.12878,22.6302) y0= (1.03361e+027,-5.50835e+027) dy0= (-3.86992e+027,-2.47456e+027) next x1= (8.67235,21.4987) y1= (3.70535e+026,-1.97466e+027) 64th guess x0= (8.67235,21.4987) y0= (3.70535e+026,-1.97466e+027) dy0= (-1.46033e+027,-9.33785e+026) next x1= (8.23873,20.4238) y1= (1.32831e+026,-7.07889e+026) 65th guess x0= (8.23873,20.4238) y0= (1.32831e+026,-7.07889e+026) dy0= (-5.5106e+026,-3.52367e+026) next x1= (7.82679,19.4026) y1= (4.76182e+025,-2.53768e+026) 66th guess x0= (7.82679,19.4026) y0= (4.76182e+025,-2.53768e+026) dy0= (-2.07945e+026,-1.32967e+026) next x1= (7.43545,18.4325) y1= (1.70705e+025,-9.09724e+025) 67th guess x0= (7.43545,18.4325) y0= (1.70705e+025,-9.09724e+025) dy0= (-7.84686e+025,-5.01756e+025) next x1= (7.06368,17.5108) y1= (6.11952e+024,-3.26123e+025) 68th guess x0= (7.06368,17.5108) y0= (6.11952e+024,-3.26123e+025) dy0= (-2.96104e+025,-1.89339e+025) next x1= (6.7105,16.6353) y1= (2.19376e+024,-1.16911e+025) 69th guess x0= (6.7105,16.6353) y0= (2.19376e+024,-1.16911e+025) dy0= (-1.11736e+025,-7.14479e+024) next x1= (6.37497,15.8035) y1= (7.86432e+023,-4.19108e+024) 70th guess x0= (6.37497,15.8035) y0= (7.86432e+023,-4.19108e+024) dy0= (-4.2164e+024,-2.69611e+024) next x1= (6.05622,15.0133) y1= (2.81925e+023,-1.50244e+024) 71th guess x0= (6.05622,15.0133) y0= (2.81925e+023,-1.50244e+024) dy0= (-1.59107e+024,-1.01739e+024) next x1= (5.75341,14.2627) y1= (1.01066e+023,-5.38605e+023) 72th guess x0= (5.75341,14.2627) y0= (1.01066e+023,-5.38605e+023) dy0= (-6.00397e+023,-3.83915e+023) next x1= (5.46574,13.5495) y1= (3.62308e+022,-1.93082e+023) 73th guess x0= (5.46574,13.5495) y0= (3.62308e+022,-1.93082e+023) dy0= (-2.26562e+023,-1.44872e+023) next x1= (5.19245,12.8721) y1= (1.29882e+022,-6.92172e+022) 74th guess x0= (5.19245,12.8721) y0= (1.29882e+022,-6.92172e+022) dy0= (-8.5494e+022,-5.46678e+022) next x1= (4.93283,12.2285) y1= (4.6561e+021,-2.48134e+022) 75th guess x0= (4.93283,12.2285) y0= (4.6561e+021,-2.48134e+022) dy0= (-3.22615e+022,-2.06291e+022) next x1= (4.68619,11.617) y1= (1.66914e+021,-8.89526e+021) 76th guess x0= (4.68619,11.617) y0= (1.66914e+021,-8.89526e+021) dy0= (-1.2174e+022,-7.78447e+021) next x1= (4.45188,11.0362) y1= (5.98365e+020,-3.18882e+021) 77th guess x0= (4.45188,11.0362) y0= (5.98365e+020,-3.18882e+021) dy0= (-4.5939e+021,-2.9375e+021) next x1= (4.22929,10.4844) y1= (2.14505e+020,-1.14315e+021) 78th guess x0= (4.22929,10.4844) y0= (2.14505e+020,-1.14315e+021) dy0= (-1.73352e+021,-1.10847e+021) next x1= (4.01782,9.96016) y1= (7.68972e+019,-4.09803e+020) 79th guess x0= (4.01782,9.96016) y0= (7.68972e+019,-4.09803e+020) dy0= (-6.54151e+020,-4.18287e+020) next x1= (3.81693,9.46215) y1= (2.75666e+019,-1.46909e+020) 80th guess x0= (3.81693,9.46215) y0= (2.75666e+019,-1.46909e+020) dy0= (-2.46846e+020,-1.57842e+020) next x1= (3.62608,8.98904) y1= (9.88226e+018,-5.26646e+019) 81th guess x0= (3.62608,8.98904) y0= (9.88226e+018,-5.26646e+019) dy0= (-9.31484e+019,-5.95622e+019) next x1= (3.44478,8.53959) y1= (3.54268e+018,-1.88795e+019) 82th guess x0= (3.44478,8.53959) y0= (3.54268e+018,-1.88795e+019) dy0= (-3.51499e+019,-2.24759e+019) next x1= (3.27254,8.11261) y1= (1.27002e+018,-6.76805e+018) 83th guess x0= (3.27254,8.11261) y0= (1.27002e+018,-6.76805e+018) dy0= (-1.3264e+019,-8.4813e+018) next x1= (3.10892,7.70698) y1= (4.55311e+017,-2.42625e+018) 84th guess x0= (3.10892,7.70698) y0= (4.55311e+017,-2.42625e+018) dy0= (-5.00524e+018,-3.20037e+018) next x1= (2.95349,7.32162) y1= (1.63248e+017,-8.69776e+017) 85th guess x0= (2.95349,7.32162) y0= (1.63248e+017,-8.69776e+017) dy0= (-1.88878e+018,-1.20759e+018) next x1= (2.80585,6.95552) y1= (5.85472e+016,-3.11802e+017) 86th guess x0= (2.80585,6.95552) y0= (5.85472e+016,-3.11802e+017) dy0= (-7.12771e+017,-4.55605e+017) next x1= (2.66565,6.60768) y1= (2.10136e+016,-1.11777e+017) 87th guess x0= (2.66565,6.60768) y0= (2.10136e+016,-1.11777e+017) dy0= (-2.69003e+017,-1.71835e+017) next x1= (2.53262,6.27713) y1= (7.55826e+015,-4.00704e+016) 88th guess x0= (2.53262,6.27713) y0= (7.55826e+015,-4.00704e+016) dy0= (-1.01547e+017,-6.47489e+016) next x1= (2.40666,5.96285) y1= (2.73473e+015,-1.43646e+016) 89th guess x0= (2.40666,5.96285) y0= (2.73473e+015,-1.43646e+016) dy0= (-3.83587e+016,-2.43346e+016) next x1= (2.2881,5.66358) y1= (1.00558e+015,-5.1494e+015) 90th guess x0= (2.2881,5.66358) y0= (1.00558e+015,-5.1494e+015) dy0= (-1.45164e+016,-9.07889e+015) next x1= (2.17842,5.37745) y1= (3.85736e+014,-1.84567e+015) 91th guess x0= (2.17842,5.37745) y0= (3.85736e+014,-1.84567e+015) dy0= (-5.52094e+015,-3.31649e+015) next x1= (2.08219,5.10095) y1= (1.6363e+014,-6.60743e+014) 92th guess x0= (2.08219,5.10095) y0= (1.6363e+014,-6.60743e+014) dy0= (-2.127e+015,-1.13588e+015) next x1= (2.01297,4.82728) y1= (8.42302e+013,-2.34325e+014) 93th guess x0= (2.01297,4.82728) y0= (8.42302e+013,-2.34325e+014) dy0= (-8.43418e+014,-3.05561e+014) next x1= (2.01227,4.5497) y1= (5.59816e+013,-7.66917e+013) 94th guess x0= (2.01227,4.5497) y0= (5.59816e+013,-7.66917e+013) dy0= (-3.46017e+014,2.00973e+013) next x1= (2.18635,4.33817) y1= (4.19856e+013,-4.72405e+012) 95th guess x0= (2.18635,4.33817) y0= (4.19856e+013,-4.72405e+012) dy0= (-1.16276e+014,1.87502e+014) next x1= (2.30483,4.48861) y1= (-1.88441e+013,7.17811e+012) 96th guess x0= (2.30483,4.48861) y0= (-1.88441e+013,7.17811e+012) dy0= (-1.81477e+014,4.15709e+014) next x1= (2.27371,4.45687) y1= (-1.2783e+012,9.71338e+011) 97th guess x0= (2.27371,4.45687) y0= (-1.2783e+012,9.71338e+011) dy0= (-1.72102e+014,3.45894e+014) next x1= (2.26998,4.45503) y1= (-3.53828e+009,1.21109e+010) 98th guess x0= (2.26998,4.45503) y0= (-3.53828e+009,1.21109e+010) dy0= (-1.73149e+014,3.39925e+014) next x1= (2.26995,4.45503) y1= (668081,426955) 99th guess x0= (2.26995,4.45503) y0= (668081,426955) dy0= (-1.73184e+014,3.39892e+014) next x1= (2.26995,4.45503) y1= (-0.0625,-0.101563) found root= (2.26995,4.45503) remove root from p polynomial red of degree 19 red^19 = (1,0) red^18 = (2.26995,4.45503) red^17 = (-14.6946,20.2254) red^16 = (-123.461,-19.5543) red^15 = (-193.136,-594.41) red^14 = (2209.71,-2209.71) red^13 = (14860.3,4828.39) red^12 = (12221.4,77163.2) red^11 = (-316022,229604) red^10 = (-1.74025e+006,-886700) red^9 = (-0.0218601,-9.76562e+006) red^8 = (4.35062e+007,-2.21675e+007) red^7 = (1.97514e+008,1.43502e+008) red^6 = (-1.9096e+008,1.20567e+009) red^5 = (-5.80479e+009,1.88609e+009) red^4 = (-2.15792e+010,-2.15792e+010) red^3 = (4.71523e+010,-1.4512e+011) red^2 = (7.53546e+011,-1.1935e+011) red^1 = (2.24222e+012,3.08615e+012) red^0 = (-8.65918e+012,1.69946e+013) find 19th root 0th guess x0= (2.4,2.3) y0= (2.65495e+012,4.40817e+013) dy0= (2.02352e+013,-2.48128e+012) next x1= (2.53391,0.13795) y1= (1.34563e+012,2.20085e+013) 1th guess x0= (2.53391,0.13795) y0= (1.34563e+012,2.20085e+013) dy0= (5.05983e+012,-6.20956e+011) next x1= (2.79779,-4.17931) y1= (9.80977e+012,1.93766e+013) 2th guess x0= (2.79779,-4.17931) y0= (9.80977e+012,1.93766e+013) dy0= (-5.28797e+012,4.74471e+013) next x1= (2.41718,-3.93013) y1= (2.47927e+012,1.14039e+013) 3th guess x0= (2.41718,-3.93013) y0= (2.47927e+012,1.14039e+013) dy0= (6.40546e+012,8.17477e+012) next x1= (1.40561,-4.41948) y1= (-9.71553e+011,1.30196e+013) 4th guess x0= (1.40561,-4.41948) y0= (-9.71553e+011,1.30196e+013) dy0= (-8.23003e+012,3.62169e+012) next x1= (0.723491,-3.13769) y1= (-2.45451e+012,1.20601e+013) 5th guess x0= (0.723491,-3.13769) y0= (-2.45451e+012,1.20601e+013) dy0= (1.46424e+012,6.32293e+011) next x1= (-0.861357,-10.6897) y1= (2.5825e+019,4.34263e+018) 6th guess x0= (-0.861357,-10.6897) y0= (2.5825e+019,4.34263e+018) dy0= (-1.13275e+019,4.57769e+019) next x1= (-0.819204,-10.136) y1= (9.24629e+018,1.55405e+018) 7th guess x0= (-0.819204,-10.136) y0= (9.24629e+018,1.55405e+018) dy0= (-4.28109e+018,1.72949e+019) next x1= (-0.779174,-9.6113) y1= (3.31054e+018,5.56122e+017) 8th guess x0= (-0.779174,-9.6113) y0= (3.31054e+018,5.56122e+017) dy0= (-1.61799e+018,6.53406e+018) next x1= (-0.741156,-9.11406) y1= (1.18532e+018,1.99008e+017) 9th guess x0= (-0.741156,-9.11406) y0= (1.18532e+018,1.99008e+017) dy0= (-6.11501e+017,2.46856e+018) next x1= (-0.705044,-8.64284) y1= (4.24402e+017,7.12154e+016) 10th guess x0= (-0.705044,-8.64284) y0= (4.24402e+017,7.12154e+016) dy0= (-2.31107e+017,9.32609e+017) next x1= (-0.670743,-8.19627) y1= (1.51958e+017,2.54854e+016) 11th guess x0= (-0.670743,-8.19627) y0= (1.51958e+017,2.54854e+016) dy0= (-8.73397e+016,3.52331e+017) next x1= (-0.638164,-7.77305) y1= (5.44096e+016,9.12153e+015) 12th guess x0= (-0.638164,-7.77305) y0= (5.44096e+016,9.12153e+015) dy0= (-3.3003e+016,1.33107e+017) next x1= (-0.607242,-7.37195) y1= (1.94816e+016,3.26602e+015) 13th guess x0= (-0.607242,-7.37195) y0= (1.94816e+016,3.26602e+015) dy0= (-1.24661e+016,5.02872e+016) next x1= (-0.577952,-6.9918) y1= (6.97525e+015,1.17081e+015) 14th guess x0= (-0.577952,-6.9918) y0= (6.97525e+015,1.17081e+015) dy0= (-4.70357e+015,1.89998e+016) next x1= (-0.55038,-6.63151) y1= (2.49709e+015,4.21159e+014) 15th guess x0= (-0.55038,-6.63151) y0= (2.49709e+015,4.21159e+014) dy0= (-1.76906e+015,7.18046e+015) next x1= (-0.524901,-6.29002) y1= (8.93547e+014,1.52978e+014) 16th guess x0= (-0.524901,-6.29002) y0= (8.93547e+014,1.52978e+014) dy0= (-6.59231e+014,2.7158e+015) next x1= (-0.502674,-5.9664) y1= (3.19312e+014,5.70758e+013) 17th guess x0= (-0.502674,-5.9664) y0= (3.19312e+014,5.70758e+013) dy0= (-2.38984e+014,1.02953e+015) next x1= (-0.486964,-5.65989) y1= (1.13624e+014,2.28087e+013) 18th guess x0= (-0.486964,-5.65989) y0= (1.13624e+014,2.28087e+013) dy0= (-7.92844e+013,3.92826e+014) next x1= (-0.48666,-5.37071) y1= (3.98428e+013,1.05649e+013) 19th guess x0= (-0.48666,-5.37071) y0= (3.98428e+013,1.05649e+013) dy0= (-1.79171e+013,1.52482e+014) next x1= (-0.524718,-5.10494) y1= (1.31268e+013,6.09444e+012) 20th guess x0= (-0.524718,-5.10494) y0= (1.31268e+013,6.09444e+012) dy0= (6.65788e+012,6.14461e+013) next x1= (-0.64563,-4.90441) y1= (2.8786e+012,3.96442e+012) 21th guess x0= (-0.64563,-4.90441) y0= (2.8786e+012,3.96442e+012) dy0= (1.87676e+013,2.57861e+013) next x1= (-0.799247,-4.90458) y1= (-1.08493e+012,8.61707e+011) 22th guess x0= (-0.799247,-4.90458) y0= (-1.08493e+012,8.61707e+011) dy0= (3.19205e+013,1.32037e+013) next x1= (-0.77976,-4.93964) y1= (1.04165e+011,1.59564e+009) 23th guess x0= (-0.77976,-4.93964) y0= (1.04165e+011,1.59564e+009) dy0= (3.43518e+013,1.79043e+013) next x1= (-0.782163,-4.93843) y1= (1.51169e+008,4.80545e+008) 24th guess x0= (-0.782163,-4.93843) y0= (1.51169e+008,4.80545e+008) dy0= (3.44111e+013,1.75345e+013) next x1= (-0.782172,-4.93844) y1= (-9499.8,-7047.1) 25th guess x0= (-0.782172,-4.93844) y0= (-9499.8,-7047.1) dy0= (3.44129e+013,1.75342e+013) next x1= (-0.782172,-4.93844) y1= (0.000976563,-0.00976563) found root= (-0.782172,-4.93844) remove root from p polynomial red of degree 18 red^18 = (1,0) red^17 = (1.48778,-0.483409) red^16 = (-18.2456,13.2562) red^15 = (-43.7248,60.182) red^14 = (138.27,-425.551) red^13 = (-3.34923e-006,-2559.69) red^12 = (2219.37,6830.51) red^11 = (44217.6,60860.3) red^10 = (-50053,-36365.6) red^9 = (-1.88069e+006,-611072) red^8 = (-1.54672e+006,0.00496134) red^7 = (4.4716e+007,-1.45291e+007) red^6 = (9.07872e+007,-6.59607e+007) red^5 = (-5.87715e+008,8.0892e+008) red^4 = (-1.35029e+009,4.15577e+009) red^3 = (-65.017,-1.81614e+010) red^2 = (-4.25367e+010,-1.30914e+011) red^1 = (1.40304e+011,1.93112e+011) red^0 = (3.08615e+012,2.24222e+012) find 18th root 0th guess x0= (2.4,2.3) y0= (5.23872e+012,1.93627e+012) dy0= (2.51836e+011,-1.96106e+012) next x1= (3.03385,-0.452761) y1= (2.77849e+012,1.70536e+012) 1th guess x0= (3.03385,-0.452761) y0= (2.77849e+012,1.70536e+012) dy0= (-2.73809e+011,-4.34768e+011) next x1= (8.72416,-3.25984) y1= (2.4468e+017,-4.18236e+016) 2th guess x0= (8.72416,-3.25984) y0= (2.4468e+017,-4.18236e+016) dy0= (4.80635e+017,9.24645e+016) next x1= (8.24939,-3.08149) y1= (8.73997e+016,-1.49405e+016) 3th guess x0= (8.24939,-3.08149) y0= (8.73997e+016,-1.49405e+016) dy0= (1.81999e+017,3.50147e+016) next x1= (7.80154,-2.91323) y1= (3.12189e+016,-5.33676e+015) 4th guess x0= (7.80154,-2.91323) y0= (3.12189e+016,-5.33676e+015) dy0= (6.8917e+016,1.32586e+016) next x1= (7.37908,-2.75452) y1= (1.11514e+016,-1.90604e+015) 5th guess x0= (7.37908,-2.75452) y0= (1.11514e+016,-1.90604e+015) dy0= (2.60964e+016,5.01965e+015) next x1= (6.98056,-2.60483) y1= (3.98349e+015,-6.80549e+014) 6th guess x0= (6.98056,-2.60483) y0= (3.98349e+015,-6.80549e+014) dy0= (9.88127e+015,1.89952e+015) next x1= (6.60456,-2.46367) y1= (1.42322e+015,-2.42793e+014) 7th guess x0= (6.60456,-2.46367) y0= (1.42322e+015,-2.42793e+014) dy0= (3.74091e+015,7.17848e+014) next x1= (6.24964,-2.33066) y1= (5.08745e+014,-8.64183e+013) 8th guess x0= (6.24964,-2.33066) y0= (5.08745e+014,-8.64183e+013) dy0= (1.41561e+015,2.70214e+014) next x1= (5.91413,-2.20558) y1= (1.82124e+014,-3.05466e+013) 9th guess x0= (5.91413,-2.20558) y0= (1.82124e+014,-3.05466e+013) dy0= (5.34965e+014,1.00523e+014) next x1= (5.59567,-2.08863) y1= (6.54793e+013,-1.05693e+013) 10th guess x0= (5.59567,-2.08863) y0= (6.54793e+013,-1.05693e+013) dy0= (2.01361e+014,3.60583e+013) next x1= (5.28969,-1.98135) y1= (2.38387e+013,-3.4054e+012) 11th guess x0= (5.28969,-1.98135) y0= (2.38387e+013,-3.4054e+012) dy0= (7.48854e+013,1.1427e+013) next x1= (4.98538,-1.88944) y1= (8.9906e+012,-7.96522e+011) 12th guess x0= (4.98538,-1.88944) y0= (8.9906e+012,-7.96522e+011) dy0= (2.68104e+013,1.89608e+012) next x1= (4.6538,-1.83628) y1= (3.7087e+012,2.56936e+011) 13th guess x0= (4.6538,-1.83628) y0= (3.7087e+012,2.56936e+011) dy0= (8.33968e+012,-1.79777e+012) next x1= (4.23519,-1.95733) y1= (1.76276e+012,1.02908e+012) 14th guess x0= (4.23519,-1.95733) y0= (1.76276e+012,1.02908e+012) dy0= (6.55782e+011,-2.73661e+012) next x1= (4.44484,-2.65171) y1= (-2.53242e+012,3.7464e+012) 15th guess x0= (4.44484,-2.65171) y0= (-2.53242e+012,3.7464e+012) dy0= (-1.65787e+013,-1.7458e+012) next x1= (4.31729,-2.4123) y1= (-2.82086e+011,1.60809e+012) 16th guess x0= (4.31729,-2.4123) y0= (-2.82086e+011,1.60809e+012) dy0= (-6.27195e+012,-4.36673e+012) next x1= (4.40723,-2.21852) y1= (5.13627e+011,2.6199e+011) 17th guess x0= (4.40723,-2.21852) y0= (5.13627e+011,2.6199e+011) dy0= (-1.7215e+012,-7.11386e+012) next x1= (4.45853,-2.27831) y1= (-8.3944e+010,-6.07167e+009) 18th guess x0= (4.45853,-2.27831) y0= (-8.3944e+010,-6.07167e+009) dy0= (-3.07783e+012,-8.8823e+012) next x1= (4.45499,-2.27009) y1= (-1.05368e+009,7.1049e+008) 19th guess x0= (4.45499,-2.27009) y0= (-1.05368e+009,7.1049e+008) dy0= (-2.84051e+012,-8.72853e+012) next x1= (4.45503,-2.26995) y1= (110519,278009) 20th guess x0= (4.45503,-2.26995) y0= (110519,278009) dy0= (-2.83621e+012,-8.72896e+012) next x1= (4.45503,-2.26995) y1= (0.000976563,-0.015625) found root= (4.45503,-2.26995) remove root from p polynomial red of degree 17 red^17 = (1,0) red^16 = (5.94281,-2.75336) red^15 = (1.97981,-12.5) red^14 = (-63.2791,2.02061e-006) red^13 = (-143.64,-281.91) red^12 = (-1279.85,-3489.55) red^11 = (-11403.5,-5810.38) red^10 = (-19774.7,60860.3) red^9 = (0.0135306,279657) red^8 = (-1.24588e+006,634807) red^7 = (-5.65617e+006,5.65617e+006) red^6 = (3.23568e+007,2.35086e+007) red^5 = (2.88301e+008,-3.46776e+007) red^4 = (6.1796e+008,-27.5613) red^3 = (1.40274e+009,2.75303e+009) red^2 = (1.24985e+010,-9.08069e+009) red^1 = (-7.46819e+009,-1.9974e+011) red^0 = (-3.46367e+011,-6.79784e+011) find 17th root 0th guess x0= (2.4,2.3) y0= (-7.6355e+010,-1.112e+012) dy0= (-1.81403e+011,9.75917e+009) next x1= (2.30913,-3.83489) y1= (-1.15541e+012,-6.06704e+011) 1th guess x0= (2.30913,-3.83489) y0= (-1.15541e+012,-6.06704e+011) dy0= (-8.06764e+011,3.34642e+011) next x1= (1.35336,-4.98336) y1= (-2.82328e+012,-9.21312e+011) 2th guess x0= (1.35336,-4.98336) y0= (-2.82328e+012,-9.21312e+011) dy0= (-1.76477e+012,-7.08806e+012) next x1= (1.13759,-4.63877) y1= (-1.24354e+012,-7.68645e+011) 3th guess x0= (1.13759,-4.63877) y0= (-1.24354e+012,-7.68645e+011) dy0= (-1.33505e+012,-1.103e+012) next x1= (0.301297,-4.52358) y1= (-9.72081e+011,-1.71702e+012) 4th guess x0= (0.301297,-4.52358) y0= (-9.72081e+011,-1.71702e+012) dy0= (1.71331e+012,1.60568e+012) next x1= (1.10339,-4.27312) y1= (-1.04561e+012,-9.74781e+011) 5th guess x0= (1.10339,-4.27312) y0= (-1.04561e+012,-9.74781e+011) dy0= (-1.43995e+011,-9.84784e+010) next x1= (-6.99837,-5.50186) y1= (-8.79611e+015,4.01359e+015) 6th guess x0= (-6.99837,-5.50186) y0= (-8.79611e+015,4.01359e+015) dy0= (7.77299e+015,-1.73349e+016) next x1= (-6.61616,-5.16582) y1= (-3.13565e+015,1.43028e+015) 7th guess x0= (-6.61616,-5.16582) y0= (-3.13565e+015,1.43028e+015) dy0= (2.94877e+015,-6.57776e+015) next x1= (-6.25717,-4.85005) y1= (-1.11757e+015,5.09766e+014) 8th guess x0= (-6.25717,-4.85005) y0= (-1.11757e+015,5.09766e+014) dy0= (1.11915e+015,-2.4961e+015) next x1= (-5.91998,-4.5535) y1= (-3.9824e+014,1.81748e+014) 9th guess x0= (-5.91998,-4.5535) y0= (-3.9824e+014,1.81748e+014) dy0= (4.24988e+014,-9.47168e+014) next x1= (-5.60321,-4.27518) y1= (-1.419e+014,6.4846e+013) 10th guess x0= (-5.60321,-4.27518) y0= (-1.419e+014,6.4846e+013) dy0= (1.61477e+014,-3.59299e+014) next x1= (-5.30539,-4.01409) y1= (-5.05793e+013,2.31724e+013) 11th guess x0= (-5.30539,-4.01409) y0= (-5.05793e+013,2.31724e+013) dy0= (6.13698e+013,-1.36149e+014) next x1= (-5.02476,-3.76909) y1= (-1.80604e+013,8.30996e+012) 12th guess x0= (-5.02476,-3.76909) y0= (-1.80604e+013,8.30996e+012) dy0= (2.32928e+013,-5.14216e+013) next x1= (-4.75866,-3.53841) y1= (-6.48935e+012,3.00538e+012) 13th guess x0= (-4.75866,-3.53841) y0= (-6.48935e+012,3.00538e+012) dy0= (8.77298e+012,-1.92327e+013) next x1= (-4.50191,-3.31811) y1= (-2.37996e+012,1.10924e+012) 14th guess x0= (-4.50191,-3.31811) y0= (-2.37996e+012,1.10924e+012) dy0= (3.20058e+012,-6.98789e+012) next x1= (-4.24175,-3.09668) y1= (-9.31526e+011,4.28861e+011) 15th guess x0= (-4.24175,-3.09668) y0= (-9.31526e+011,4.28861e+011) dy0= (1.02413e+012,-2.32228e+012) next x1= (-3.93905,-2.82905) y1= (-4.46263e+011,1.78714e+011) 16th guess x0= (-3.93905,-2.82905) y0= (-4.46263e+011,1.78714e+011) dy0= (1.41109e+011,-5.68358e+011) next x1= (-3.45925,-2.16299) y1= (-3.57523e+011,2.04344e+010) 17th guess x0= (-3.45925,-2.16299) y0= (-3.57523e+011,2.04344e+010) dy0= (-1.50527e+011,-5.60382e+010) next x1= (-5.5009,-1.26717) y1= (-5.6644e+010,1.84583e+012) 18th guess x0= (-5.5009,-1.26717) y0= (-5.6644e+010,1.84583e+012) dy0= (-1.96731e+012,-5.78139e+012) next x1= (-5.21775,-1.16102) y1= (-6.97763e+010,6.43231e+011) 19th guess x0= (-5.21775,-1.16102) y0= (-6.97763e+010,6.43231e+011) dy0= (-9.9944e+011,-2.17656e+012) next x1= (-4.98584,-1.02248) y1= (-7.19049e+010,2.03773e+011) 20th guess x0= (-4.98584,-1.02248) y0= (-7.19049e+010,2.03773e+011) dy0= (-6.73567e+011,-8.05321e+011) next x1= (-4.8809,-0.845418) y1= (-5.18776e+010,3.24375e+010) 21th guess x0= (-4.8809,-0.845418) y0= (-5.18776e+010,3.24375e+010) dy0= (-6.19153e+011,-2.58152e+011) next x1= (-4.93367,-0.771025) y1= (-2.38818e+009,-8.86422e+009) 22th guess x0= (-4.93367,-0.771025) y0= (-2.38818e+009,-8.86422e+009) dy0= (-7.42424e+011,-9.3881e+010) next x1= (-4.93832,-0.782376) y1= (-1.16908e+008,1.39739e+008) 23th guess x0= (-4.93832,-0.782376) y0= (-1.16908e+008,1.39739e+008) dy0= (-7.56177e+011,-1.20331e+011) next x1= (-4.93844,-0.782172) y1= (-37356,-58676.9) 24th guess x0= (-4.93844,-0.782172) y0= (-37356,-58676.9) dy0= (-7.56439e+011,-1.19808e+011) next x1= (-4.93844,-0.782172) y1= (-0.000366211,0.010376) found root= (-4.93844,-0.782172) remove root from p polynomial red of degree 16 red^16 = (1,0) red^15 = (1.00437,-3.53553) red^14 = (-5.74562,4.17444) red^13 = (-31.6395,-16.1211) red^12 = (1.59972e-005,-177.549) red^11 = (-1418.72,-2612.74) red^10 = (-6440.85,8202.15) red^9 = (18448.6,25392.3) red^8 = (-71246.1,139828) red^7 = (-784665,-0.0234389) red^6 = (-1.78115e+006,6.26992e+006) red^5 = (4.60571e+007,-6.06187e+006) red^4 = (5.61096e+007,-4.0766e+007) red^3 = (3.0898e+008,1.57433e+008) red^2 = (297.293,1.73388e+009) red^1 = (1.38547e+010,-1.76434e+010) red^0 = (-8.96889e+010,-1.23446e+011) find 16th root 0th guess x0= (2.4,2.3) y0= (-6.29448e+010,-1.25094e+011) dy0= (-7.16089e+009,2.13839e+010) next x1= (6.77374,-2.10821) y1= (3.67496e+013,4.65437e+013) 1th guess x0= (6.77374,-2.10821) y0= (3.67496e+013,4.65437e+013) dy0= (3.59427e+013,1.21882e+014) next x1= (6.34061,-1.93442) y1= (1.33425e+013,1.64654e+013) 2th guess x0= (6.34061,-1.93442) y0= (1.33425e+013,1.64654e+013) dy0= (1.29335e+013,4.6341e+013) next x1= (5.93643,-1.7593) y1= (4.89082e+012,5.76868e+012) 3th guess x0= (5.93643,-1.7593) y0= (4.89082e+012,5.76868e+012) dy0= (4.4513e+012,1.7714e+013) next x1= (5.56485,-1.57658) y1= (1.81779e+012,1.97332e+012) 4th guess x0= (5.56485,-1.57658) y0= (1.81779e+012,1.97332e+012) dy0= (1.375e+012,6.86341e+012) next x1= (5.23742,-1.37732) y1= (6.87283e+011,6.34122e+011) 5th guess x0= (5.23742,-1.37732) y0= (6.87283e+011,6.34122e+011) dy0= (2.8433e+011,2.74281e+012) next x1= (4.98298,-1.15312) y1= (2.61891e+011,1.68604e+011) 6th guess x0= (4.98298,-1.15312) y0= (2.61891e+011,1.68604e+011) dy0= (-1.00318e+011,1.16545e+012) next x1= (4.85858,-0.917699) y1= (9.21047e+010,1.49381e+010) 7th guess x0= (4.85858,-0.917699) y0= (9.21047e+010,1.49381e+010) dy0= (-2.65569e+011,5.46153e+011) next x1= (4.90278,-0.770549) y1= (1.20944e+010,-1.71773e+010) 8th guess x0= (4.90278,-0.770549) y0= (1.20944e+010,-1.71773e+010) dy0= (-4.17549e+011,3.22227e+011) next x1= (4.94083,-0.782323) y1= (-1.10155e+009,9.08061e+008) 9th guess x0= (4.94083,-0.782323) y0= (-1.10155e+009,9.08061e+008) dy0= (-4.85147e+011,3.49836e+011) next x1= (4.93845,-0.782169) y1= (-5.37746e+006,1.16416e+006) 10th guess x0= (4.93845,-0.782169) y0= (-5.37746e+006,1.16416e+006) dy0= (-4.80592e+011,3.49153e+011) next x1= (4.93844,-0.782172) y1= (-60.6552,-55.9382) 11th guess x0= (4.93844,-0.782172) y0= (-60.6552,-55.9382) dy0= (-4.80575e+011,3.49159e+011) next x1= (4.93844,-0.782172) y1= (7.62939e-005,-4.57764e-005) found root= (4.93844,-0.782172) remove root from p polynomial red of degree 15 red^15 = (1,0) red^14 = (5.94281,-4.31771) red^13 = (20.2254,-21.7966) red^12 = (51.1938,-139.582) red^11 = (143.64,-906.91) red^10 = (-1418.72,-7203.81) red^9 = (-19081.7,-26263.8) red^8 = (-96328.3,-89384.6) red^7 = (-616872,-226247) red^6 = (-4.00802e+006,-634807) red^5 = (-2.2071e+007,6.26992e+006) red^4 = (-5.80353e+007,4.21651e+007) red^3 = (-1.97514e+008,2.12857e+008) red^2 = (-4.9994e+008,1.36311e+009) red^1 = (-1.40274e+009,8.85655e+009) red^0 = (1.38547e+010,2.71914e+010) find 15th root 0th guess x0= (2.4,2.3) y0= (-1.41613e+010,3.20853e+010) dy0= (-3.18335e+009,3.50516e+008) next x1= (-3.09177,11.7744) y1= (-3.36063e+015,1.05438e+016) 1th guess x0= (-3.09177,11.7744) y0= (-3.36063e+015,1.05438e+016) dy0= (1.41709e+016,1.15256e+015) next x1= (-2.91629,11.0161) y1= (-1.19221e+015,3.74433e+015) 2th guess x0= (-2.91629,11.0161) y0= (-1.19221e+015,3.74433e+015) dy0= (5.39663e+015,4.40518e+014) next x1= (-2.7531,10.3089) y1= (-4.22856e+014,1.32956e+015) 3th guess x0= (-2.7531,10.3089) y0= (-4.22856e+014,1.32956e+015) dy0= (2.05538e+015,1.68443e+014) next x1= (-2.6014,9.64963) y1= (-1.49951e+014,4.72055e+014) 4th guess x0= (-2.6014,9.64963) y0= (-1.49951e+014,4.72055e+014) dy0= (7.82917e+014,6.44273e+013) next x1= (-2.46044,9.03509) y1= (-5.31672e+013,1.67577e+014) 5th guess x0= (-2.46044,9.03509) y0= (-5.31672e+013,1.67577e+014) dy0= (2.98265e+014,2.46435e+013) next x1= (-2.3295,8.46243) y1= (-1.88498e+013,5.94787e+013) 6th guess x0= (-2.3295,8.46243) y0= (-1.88498e+013,5.94787e+013) dy0= (1.13647e+014,9.42259e+012) next x1= (-2.20787,7.92898) y1= (-6.68358e+012,2.11069e+013) 7th guess x0= (-2.20787,7.92898) y0= (-6.68358e+012,2.11069e+013) dy0= (4.33097e+013,3.59912e+012) next x1= (-2.09483,7.43224) y1= (-2.37061e+012,7.48868e+012) 8th guess x0= (-2.09483,7.43224) y0= (-2.37061e+012,7.48868e+012) dy0= (1.65071e+013,1.37191e+012) next x1= (-1.98965,6.96983) y1= (-8.41554e+011,2.65662e+012) 9th guess x0= (-1.98965,6.96983) y0= (-8.41554e+011,2.65662e+012) dy0= (6.29146e+012,5.20854e+011) next x1= (-1.89151,6.53945) y1= (-2.99346e+011,9.42578e+011) 10th guess x0= (-1.89151,6.53945) y0= (-2.99346e+011,9.42578e+011) dy0= (2.39675e+012,1.96092e+011) next x1= (-1.79941,6.13864) y1= (-1.07013e+011,3.34811e+011) 11th guess x0= (-1.79941,6.13864) y0= (-1.07013e+011,3.34811e+011) dy0= (9.11133e+011,7.23691e+010) next x1= (-1.7117,5.76421) y1= (-3.87728e+010,1.19473e+011) 12th guess x0= (-1.7117,5.76421) y0= (-3.87728e+010,1.19473e+011) dy0= (3.43758e+011,2.53112e+010) next x1= (-1.62497,5.41027) y1= (-1.45798e+010,4.33347e+010) 13th guess x0= (-1.62497,5.41027) y0= (-1.45798e+010,4.33347e+010) dy0= (1.26297e+011,7.46528e+009) next x1= (-1.53014,5.06155) y1= (-6.07438e+009,1.66321e+010) 14th guess x0= (-1.53014,5.06155) y0= (-6.07438e+009,1.66321e+010) dy0= (4.20654e+010,8.49424e+008) next x1= (-1.39378,4.66341) y1= (-3.34187e+009,7.77653e+009) 15th guess x0= (-1.39378,4.66341) y0= (-3.34187e+009,7.77653e+009) dy0= (8.55362e+009,-1.02521e+009) next x1= (-0.901189,3.8133) y1= (-3.93056e+009,8.24734e+009) 16th guess x0= (-0.901189,3.8133) y0= (-3.93056e+009,8.24734e+009) dy0= (-4.35543e+009,1.43198e+009) next x1= (-2.27744,5.25439) y1= (-3.70576e+010,-2.94873e+010) 17th guess x0= (-2.27744,5.25439) y0= (-3.70576e+010,-2.94873e+010) dy0= (-5.36076e+010,1.3508e+011) next x1= (-2.18291,4.94254) y1= (-1.34239e+010,-9.32936e+009) 18th guess x0= (-2.18291,4.94254) y0= (-1.34239e+010,-9.32936e+009) dy0= (-2.58701e+010,5.18244e+010) next x1= (-2.14231,4.66324) y1= (-4.81472e+009,-2.06085e+009) 19th guess x0= (-2.14231,4.66324) y0= (-4.81472e+009,-2.06085e+009) dy0= (-1.6592e+010,2.03519e+010) next x1= (-2.19734,4.47153) y1= (-1.2708e+009,2.47721e+008) 20th guess x0= (-2.19734,4.47153) y0= (-1.2708e+009,2.47721e+008) dy0= (-1.48441e+010,8.46897e+009) next x1= (-2.26911,4.44727) y1= (2.76189e+007,1.34162e+008) 21th guess x0= (-2.26911,4.44727) y0= (2.76189e+007,1.34162e+008) dy0= (-1.65514e+010,5.2658e+009) next x1= (-2.26994,4.45512) y1= (-720747,-1.345e+006) 22th guess x0= (-2.26994,4.45512) y0= (-720747,-1.345e+006) dy0= (-1.68724e+010,5.48461e+009) next x1= (-2.26995,4.45503) y1= (-161.013,-89.6674) 23th guess x0= (-2.26995,4.45503) y0= (-161.013,-89.6674) dy0= (-1.68697e+010,5.48129e+009) next x1= (-2.26995,4.45503) y1= (0,0) found root= (-2.26995,4.45503) remove root from p polynomial red of degree 14 red^14 = (1,0) red^13 = (3.67286,0.137326) red^12 = (11.2764,-5.74562) red^11 = (51.1938,-76.3031) red^10 = (367.366,-505.636) red^9 = (-2.21107e-005,-4419.42) red^8 = (606.903,-16231.9) red^7 = (-25392.3,-49835.2) red^6 = (-337215,-226247) red^5 = (-2.23461e+006,-1.62354e+006) red^4 = (-9.76562e+006,0.0794997) red^3 = (-3.58678e+007,-1.34108e+006) red^2 = (-1.10121e+008,5.61096e+007) red^1 = (-4.9994e+008,7.45148e+008) red^0 = (-3.58756e+009,4.93785e+009) find 14th root 0th guess x0= (2.4,2.3) y0= (-5.11395e+009,4.51066e+009) dy0= (6.79746e+008,-5.77152e+008) next x1= (10.0457,2.15591) y1= (-1.8708e+014,8.05966e+013) 1th guess x0= (10.0457,2.15591) y0= (-1.8708e+014,8.05966e+013) dy0= (-2.28396e+014,1.49734e+014) next x1= (9.31099,2.02714) y1= (-6.60823e+013,2.86992e+013) 2th guess x0= (9.31099,2.02714) y0= (-6.60823e+013,2.86992e+013) dy0= (-8.75006e+013,5.69905e+013) next x1= (8.63073,1.91206) y1= (-2.33145e+013,1.0226e+013) 3th guess x0= (8.63073,1.91206) y0= (-2.33145e+013,1.0226e+013) dy0= (-3.35682e+013,2.16886e+013) next x1= (8.00188,1.81039) y1= (-8.21238e+012,3.64467e+012) 4th guess x0= (8.00188,1.81039) y0= (-8.21238e+012,3.64467e+012) dy0= (-1.29005e+013,8.25637e+012) next x1= (7.42199,1.72178) y1= (-2.88685e+012,1.29813e+012) 5th guess x0= (7.42199,1.72178) y0= (-2.88685e+012,1.29813e+012) dy0= (-4.96804e+012,3.14679e+012) next x1= (6.88917,1.64559) y1= (-1.01247e+012,4.61145e+011) 6th guess x0= (6.88917,1.64559) y0= (-1.01247e+012,4.61145e+011) dy0= (-1.91695e+012,1.2029e+012) next x1= (6.40191,1.58039) y1= (-3.54536e+011,1.62777e+011) 7th guess x0= (6.40191,1.58039) y0= (-3.54536e+011,1.62777e+011) dy0= (-7.39874e+011,4.62615e+011) next x1= (5.95851,1.52316) y1= (-1.24446e+011,5.67087e+010) 8th guess x0= (5.95851,1.52316) y0= (-1.24446e+011,5.67087e+010) dy0= (-2.8376e+011,1.79844e+011) next x1= (5.55527,1.46743) y1= (-4.44064e+010,1.9261e+010) 9th guess x0= (5.55527,1.46743) y0= (-4.44064e+010,1.9261e+010) dy0= (-1.05702e+011,7.09765e+010) next x1= (5.18138,1.39859) y1= (-1.68384e+010,6.20105e+009) 10th guess x0= (5.18138,1.39859) y0= (-1.68384e+010,6.20105e+009) dy0= (-3.5138e+010,2.81144e+010) next x1= (4.80312,1.27242) y1= (-7.78699e+009,1.62853e+009) 11th guess x0= (4.80312,1.27242) y0= (-7.78699e+009,1.62853e+009) dy0= (-6.2421e+009,9.70769e+009) next x1= (4.31953,0.781231) y1= (-7.54766e+009,-8.02408e+008) 12th guess x0= (4.31953,0.781231) y0= (-7.54766e+009,-8.02408e+008) dy0= (4.54141e+009,-4.24391e+009) next x1= (5.11858,1.70463) y1= (-1.69686e+010,-7.07766e+009) 13th guess x0= (5.11858,1.70463) y0= (-1.69686e+010,-7.07766e+009) dy0= (-4.28291e+010,-1.08075e+010) next x1= (4.70691,1.64326) y1= (-7.59169e+009,-2.32966e+009) 14th guess x0= (4.70691,1.64326) y0= (-7.59169e+009,-2.32966e+009) dy0= (-1.09364e+010,-5.85723e+009) next x1= (4.07881,1.76663) y1= (-4.84727e+009,8.09045e+008) 15th guess x0= (4.07881,1.76663) y0= (-4.84727e+009,8.09045e+008) dy0= (5.71568e+008,-4.29992e+009) next x1= (4.41094,2.84977) y1= (-1.20613e+009,9.47988e+009) 16th guess x0= (4.41094,2.84977) y0= (-1.20613e+009,9.47988e+009) dy0= (1.73064e+010,1.67484e+010) next x1= (4.17319,2.53209) y1= (-1.82586e+009,3.73766e+009) 17th guess x0= (4.17319,2.53209) y0= (-1.82586e+009,3.73766e+009) dy0= (8.30597e+009,1.23938e+009) next x1= (4.32255,2.05981) y1= (-2.73581e+009,-1.40165e+008) 18th guess x0= (4.32255,2.05981) y0= (-2.73581e+009,-1.40165e+008) dy0= (3.50406e+009,-7.83298e+009) next x1= (4.43783,2.35751) y1= (5.87295e+008,1.14248e+009) 19th guess x0= (4.43783,2.35751) y0= (5.87295e+008,1.14248e+009) dy0= (1.25258e+010,-7.72949e+009) next x1= (4.44463,2.2705) y1= (-9.79427e+007,1.07534e+008) 20th guess x0= (4.44463,2.2705) y0= (-9.79427e+007,1.07534e+008) dy0= (9.86154e+009,-9.64457e+009) next x1= (4.45516,2.26989) y1= (613296,-1.92404e+006) 21th guess x0= (4.45516,2.26989) y0= (613296,-1.92404e+006) dy0= (9.99847e+009,-1.00041e+010) next x1= (4.45503,2.26995) y1= (-193.169,-323.404) 22th guess x0= (4.45503,2.26995) y0= (-193.169,-323.404) dy0= (9.9988e+009,-9.9988e+009) next x1= (4.45503,2.26995) y1= (-1.4782e-005,1.14441e-005) found root= (4.45503,2.26995) remove root from p polynomial red of degree 13 red^13 = (1,0) red^12 = (8.12789,2.40728) red^11 = (42.022,23.4288) red^10 = (185.221,123.461) red^9 = (912.281,464.83) red^8 = (3009.1,-277.749) red^7 = (14643,-10638.8) red^6 = (63992.3,-63992.3) red^5 = (93132,-366075) red^4 = (-988736,-3.04301e+006) red^3 = (-7.26297e+006,-1.58011e+007) red^2 = (-3.23568e+007,-8.82222e+007) red^1 = (-5.40117e+007,-4.10371e+008) red^0 = (1.9096e+008,-1.20567e+009) find 13th root 0th guess x0= (2.4,2.3) y0= (2.52006e+009,-2.15809e+009) dy0= (9.06569e+008,-7.56044e+008) next x1= (-0.410405,2.33673) y1= (9.81241e+008,-7.33089e+008) 1th guess x0= (-0.410405,2.33673) y0= (9.81241e+008,-7.33089e+008) dy0= (2.71283e+008,-2.34868e+008) next x1= (-3.81505,2.0914) y1= (2.4433e+008,-1.59728e+008) 2th guess x0= (-3.81505,2.0914) y0= (2.4433e+008,-1.59728e+008) dy0= (2.33833e+008,-1.14769e+008) next x1= (-4.92727,2.22859) y1= (-5.86574e+008,-2.06772e+008) 3th guess x0= (-4.92727,2.22859) y0= (-5.86574e+008,-2.06772e+008) dy0= (1.81765e+009,1.09556e+009) next x1= (-4.64026,2.16935) y1= (-1.58321e+008,-1.03058e+008) 4th guess x0= (-4.64026,2.16935) y0= (-1.58321e+008,-1.03058e+008) dy0= (9.80383e+008,3.05916e+008) next x1= (-4.46321,2.21923) y1= (-1.02407e+007,-3.84483e+007) 5th guess x0= (-4.46321,2.21923) y0= (-1.02407e+007,-3.84483e+007) dy0= (7.55344e+008,-3.25443e+007) next x1= (-4.45187,2.27062) y1= (2.55673e+006,120659) 6th guess x0= (-4.45187,2.27062) y0= (2.55673e+006,120659) dy0= (7.78645e+008,-1.27591e+008) next x1= (-4.45504,2.26994) y1= (-6914.31,-7230.52) 7th guess x0= (-4.45504,2.26994) y0= (-6914.31,-7230.52) dy0= (7.83745e+008,-1.24109e+008) next x1= (-4.45503,2.26995) y1= (0.103631,-0.110957) 8th guess x0= (-4.45503,2.26995) y0= (0.103631,-0.110957) dy0= (7.83739e+008,-1.24132e+008) next x1= (-4.45503,2.26995) y1= (5.96046e-008,2.38419e-007) found root= (-4.45503,2.26995) remove root from p polynomial red of degree 12 red^12 = (1,0) red^11 = (3.67286,4.67723) red^10 = (15.0422,10.9288) red^9 = (93.3996,108.918) red^8 = (248.944,191.61) red^7 = (1465.1,-566.285) red^6 = (9401.39,-4790.25) red^5 = (32982.4,-21310.9) red^4 = (-5431.17,-196266) red^3 = (-519025,-2.18097e+006) red^2 = (-1.00637,-7.26297e+006) red^1 = (-1.58702e+007,-5.58654e+007) red^0 = (1.43502e+008,-1.97514e+008) find 12th root 0th guess x0= (2.4,2.3) y0= (3.66234e+008,-3.16423e+008) dy0= (7.85404e+007,-6.44754e+007) next x1= (-2.3615,2.41998) y1= (2.76961e+008,-1.53849e+008) 1th guess x0= (-2.3615,2.41998) y0= (2.76961e+008,-1.53849e+008) dy0= (-2.36577e+007,-2.05767e+007) next x1= (1.0833,-7.07933) y1= (-5.47467e+009,5.55703e+009) 2th guess x0= (1.0833,-7.07933) y0= (-5.47467e+009,5.55703e+009) dy0= (-1.14977e+010,-8.55552e+009) next x1= (1.00831,-6.54021) y1= (-1.89073e+009,1.96533e+009) 3th guess x0= (1.00831,-6.54021) y0= (-1.89073e+009,1.96533e+009) dy0= (-4.41494e+009,-3.36689e+009) next x1= (0.952177,-6.05225) y1= (-6.44795e+008,6.88013e+008) 4th guess x0= (0.952177,-6.05225) y0= (-6.44795e+008,6.88013e+008) dy0= (-1.7201e+009,-1.34229e+009) next x1= (0.91319,-5.62185) y1= (-2.15033e+008,2.31831e+008) 5th guess x0= (0.91319,-5.62185) y0= (-2.15033e+008,2.31831e+008) dy0= (-7.03527e+008,-5.46449e+008) next x1= (0.882193,-5.26824) y1= (-6.85971e+007,6.87653e+007) 6th guess x0= (0.882193,-5.26824) y0= (-6.85971e+007,6.87653e+007) dy0= (-3.29938e+008,-2.31125e+008) next x1= (0.840663,-5.03073) y1= (-1.88935e+007,1.30948e+007) 7th guess x0= (0.840663,-5.03073) y0= (-1.88935e+007,1.30948e+007) dy0= (-2.06024e+008,-1.07069e+008) next x1= (0.794466,-4.94316) y1= (-2.51957e+006,94851.8) 8th guess x0= (0.794466,-4.94316) y0= (-2.51957e+006,94851.8) dy0= (-1.80818e+008,-6.47902e+007) next x1= (0.782284,-4.93827) y1= (-10313.8,-36960.4) 9th guess x0= (0.782284,-4.93827) y0= (-10313.8,-36960.4) dy0= (-1.81429e+008,-5.89887e+007) next x1= (0.782172,-4.93844) y1= (5.75534,6.83122) 10th guess x0= (0.782172,-4.93844) y0= (5.75534,6.83122) dy0= (-1.81518e+008,-5.89786e+007) next x1= (0.782172,-4.93844) y1= (5.36442e-007,-5.96046e-008) found root= (0.782172,-4.93844) remove root from p polynomial red of degree 11 red^11 = (1,0) red^10 = (4.45503,-0.26121) red^9 = (17.2369,-11.2764) red^8 = (51.1938,14.9746) red^7 = (362.938,-49.4951) red^6 = (1504.55,-2397.35) red^5 = (-1260.95,-14095.5) red^4 = (-37613.7,-26108.9) red^3 = (-163789,-30934.4) red^2 = (-799904,-1.39631e+006) red^1 = (-7.52124e+006,-4.40485e+006) red^0 = (-4.35062e+007,-2.21675e+007) find 11th root 0th guess x0= (2.4,2.3) y0= (-3.08641e+007,-5.7494e+007) dy0= (2.29881e+006,-1.46006e+007) next x1= (-1.11776,4.96776) y1= (-8.68734e+006,2.20725e+007) 1th guess x0= (-1.11776,4.96776) y0= (-8.68734e+006,2.20725e+007) dy0= (5.62279e+007,-6.33541e+007) next x1= (-0.854799,4.8715) y1= (-4.77077e+006,3.04773e+006) 2th guess x0= (-0.854799,4.8715) y0= (-4.77077e+006,3.04773e+006) dy0= (1.96833e+007,-5.25871e+007) next x1= (-0.774181,4.93204) y1= (-296992,-515970) 3th guess x0= (-0.774181,4.93204) y0= (-296992,-515970) dy0= (8.54436e+006,-5.69191e+007) next x1= (-0.78228,4.93847) y1= (915.254,6570.22) 4th guess x0= (-0.78228,4.93847) y0= (915.254,6570.22) dy0= (9.20026e+006,-5.80258e+007) next x1= (-0.782172,4.93844) y1= (-0.465533,0.650281) 5th guess x0= (-0.782172,4.93844) y0= (-0.465533,0.650281) dy0= (9.18901e+006,-5.80171e+007) next x1= (-0.782172,4.93844) y1= (0,-7.45058e-009) found root= (-0.782172,4.93844) remove root from p polynomial red of degree 10 red^10 = (1,0) red^9 = (3.67286,4.67723) red^8 = (-8.73419,3.20339) red^7 = (42.2057,-30.6642) red^6 = (481.36,182.92) red^5 = (224.703,-163.257) red^4 = (-630.475,-12858.1) red^3 = (26378.6,-19165.1) red^2 = (-89775.3,114325) red^1 = (-1.29427e+006,-1.92908e+006) red^0 = (3.01774e+006,-9.28766e+006) find 10th root 0th guess x0= (2.4,2.3) y0= (3.12974e+006,-1.54726e+007) dy0= (-289384,34088.5) next x1= (19.2792,-49.1789) y1= (1.2337e+017,1.02619e+017) 1th guess x0= (19.2792,-49.1789) y0= (1.2337e+017,1.02619e+017) dy0= (-9.31679e+015,2.90704e+016) next x1= (17.3114,-44.3044) y1= (4.30181e+016,3.57835e+016) 2th guess x0= (17.3114,-44.3044) y0= (4.30181e+016,3.57835e+016) dy0= (-3.60921e+015,1.1262e+016) next x1= (15.5401,-39.9169) y1= (1.50002e+016,1.24778e+016) 3th guess x0= (15.5401,-39.9169) y0= (1.50002e+016,1.24778e+016) dy0= (-1.39815e+015,4.36288e+015) next x1= (13.9457,-35.9678) y1= (5.23055e+015,4.35113e+015) 4th guess x0= (13.9457,-35.9678) y0= (5.23055e+015,4.35113e+015) dy0= (-5.41612e+014,1.69016e+015) next x1= (12.5104,-32.4132) y1= (1.82392e+015,1.51729e+015) 5th guess x0= (12.5104,-32.4132) y0= (1.82392e+015,1.51729e+015) dy0= (-2.09808e+014,6.54749e+014) next x1= (11.2183,-29.2135) y1= (6.36023e+014,5.29106e+014) 6th guess x0= (11.2183,-29.2135) y0= (6.36023e+014,5.29106e+014) dy0= (-8.12748e+013,2.53638e+014) next x1= (10.0552,-26.3332) y1= (2.21795e+014,1.8451e+014) 7th guess x0= (10.0552,-26.3332) y0= (2.21795e+014,1.8451e+014) dy0= (-3.14845e+013,9.82521e+013) next x1= (9.00817,-23.7402) y1= (7.73482e+013,6.43423e+013) 8th guess x0= (9.00817,-23.7402) y0= (7.73482e+013,6.43423e+013) dy0= (-1.2197e+013,3.80589e+013) next x1= (8.06568,-21.4059) y1= (2.69756e+013,2.24373e+013) 9th guess x0= (8.06568,-21.4059) y0= (2.69756e+013,2.24373e+013) dy0= (-4.72551e+012,1.47419e+013) next x1= (7.2174,-19.3041) y1= (9.40866e+012,7.82404e+012) 10th guess x0= (7.2174,-19.3041) y0= (9.40866e+012,7.82404e+012) dy0= (-1.83108e+012,5.70991e+012) next x1= (6.45406,-17.4115) y1= (3.28196e+012,2.72811e+012) 11th guess x0= (6.45406,-17.4115) y0= (3.28196e+012,2.72811e+012) dy0= (-7.09714e+011,2.21143e+012) next x1= (5.76743,-15.7071) y1= (1.14501e+012,9.51125e+011) 12th guess x0= (5.76743,-15.7071) y0= (1.14501e+012,9.51125e+011) dy0= (-2.75204e+011,8.56397e+011) next x1= (5.15021,-14.1717) y1= (3.99575e+011,3.31522e+011) 13th guess x0= (5.15021,-14.1717) y0= (3.99575e+011,3.31522e+011) dy0= (-1.06795e+011,3.31602e+011) next x1= (4.59601,-12.7883) y1= (1.39493e+011,1.15508e+011) 14th guess x0= (4.59601,-12.7883) y0= (1.39493e+011,1.15508e+011) dy0= (-4.14942e+010,1.28373e+011) next x1= (4.09934,-11.5411) y1= (4.87262e+010,4.0218e+010) 15th guess x0= (4.09934,-11.5411) y0= (4.87262e+010,4.0218e+010) dy0= (-1.61546e+010,4.96817e+010) next x1= (3.65565,-10.4161) y1= (1.70364e+010,1.39872e+010) 16th guess x0= (3.65565,-10.4161) y0= (1.70364e+010,1.39872e+010) dy0= (-6.30999e+009,1.92185e+010) next x1= (3.2614,-9.40015) y1= (5.96516e+009,4.85512e+009) 17th guess x0= (3.2614,-9.40015) y0= (5.96516e+009,4.85512e+009) dy0= (-2.47779e+009,7.42905e+009) next x1= (2.91429,-8.48143) y1= (2.09336e+009,1.67963e+009) 18th guess x0= (2.91429,-8.48143) y0= (2.09336e+009,1.67963e+009) dy0= (-9.81403e+008,2.86869e+009) next x1= (2.61362,-7.64885) y1= (7.37111e+008,5.77552e+008) 19th guess x0= (2.61362,-7.64885) y0= (7.37111e+008,5.77552e+008) dy0= (-3.9426e+008,1.10608e+009) next x1= (2.36109,-6.89242) y1= (2.60773e+008,1.96274e+008) 20th guess x0= (2.36109,-6.89242) y0= (2.60773e+008,1.96274e+008) dy0= (-1.62202e+008,4.2575e+008) next x1= (2.16228,-6.20418) y1= (9.27513e+007,6.50391e+007) 21th guess x0= (2.16228,-6.20418) y0= (9.27513e+007,6.50391e+007) dy0= (-6.95646e+007,1.6377e+008) next x1= (2.02965,-5.58148) y1= (3.30519e+007,2.02545e+007) 22th guess x0= (2.02965,-5.58148) y0= (3.30519e+007,2.02545e+007) dy0= (-3.219e+007,6.32758e+007) next x1= (1.98646,-5.03717) y1= (1.15532e+007,5.2366e+006) 23th guess x0= (1.98646,-5.03717) y0= (1.15532e+007,5.2366e+006) dy0= (-1.71276e+007,2.49204e+007) next x1= (2.06015,-4.62421) y1= (3.58795e+006,521969) 24th guess x0= (2.06015,-4.62421) y0= (3.58795e+006,521969) dy0= (-1.14852e+007,1.02821e+007) next x1= (2.21097,-4.44373) y1= (588851,-368485) 25th guess x0= (2.21097,-4.44373) y0= (588851,-368485) dy0= (-1.03868e+007,4.7094e+006) next x1= (2.27134,-4.45184) y1= (-26962.4,-30596.5) 26th guess x0= (2.27134,-4.45184) y0= (-26962.4,-30596.5) dy0= (-1.11176e+007,3.57333e+006) next x1= (2.26994,-4.45504) y1= (130.292,48.9022) 27th guess x0= (2.26994,-4.45504) y0= (130.292,48.9022) dy0= (-1.11732e+007,3.63061e+006) next x1= (2.26995,-4.45503) y1= (0.00131073,-0.000928633) 28th guess x0= (2.26995,-4.45503) y0= (0.00131073,-0.000928633) dy0= (-1.11731e+007,3.63035e+006) next x1= (2.26995,-4.45503) y1= (-5.58794e-009,3.72529e-009) found root= (2.26995,-4.45503) remove root from p polynomial red of degree 9 red^9 = (1,0) red^8 = (5.94281,0.222199) red^7 = (5.74562,-22.7677) red^6 = (-46.1826,-107.943) red^5 = (-104.361,143.641) red^4 = (627.732,627.732) red^3 = (3591.01,-14229.8) red^2 = (-28864.1,-67464.2) red^1 = (-455851,89775.3) red^0 = (-1.92908e+006,305536) find 9th root 0th guess x0= (2.4,2.3) y0= (-2.28076e+006,-507230) dy0= (85779.2,-293147) next x1= (2.90324,9.933) y1= (4.23607e+008,-1.51042e+009) 1th guess x0= (2.90324,9.933) y0= (4.23607e+008,-1.51042e+009) dy0= (-1.14098e+009,-7.26496e+008) next x1= (2.56765,8.82288) y1= (1.47946e+008,-5.21847e+008) 2th guess x0= (2.56765,8.82288) y0= (1.47946e+008,-5.21847e+008) dy0= (-4.46344e+008,-2.82646e+008) next x1= (2.27579,7.83854) y1= (5.14081e+007,-1.80087e+008) 3th guess x0= (2.27579,7.83854) y0= (5.14081e+007,-1.80087e+008) dy0= (-1.74706e+008,-1.10436e+008) next x1= (2.02047,6.96913) y1= (1.75179e+007,-6.2061e+007) 4th guess x0= (2.02047,6.96913) y0= (1.75179e+007,-6.2061e+007) dy0= (-6.83107e+007,-4.37422e+007) next x1= (1.78976,6.20836) y1= (5.59211e+006,-2.13634e+007) 5th guess x0= (1.78976,6.20836) y0= (5.59211e+006,-2.13634e+007) dy0= (-2.6515e+007,-1.80129e+007) next x1= (1.55955,5.55904) y1= (1.38942e+006,-7.34355e+006) 6th guess x0= (1.55955,5.55904) y0= (1.38942e+006,-7.34355e+006) dy0= (-9.98622e+006,-8.19109e+006) next x1= (1.28214,5.05121) y1= (-80433.3,-2.45817e+006) 7th guess x0= (1.28214,5.05121) y0= (-80433.3,-2.45817e+006) dy0= (-3.29654e+006,-4.57281e+006) next x1= (0.920067,4.80778) y1= (-488342,-563088) 8th guess x0= (0.920067,4.80778) y0= (-488342,-563088) dy0= (-282409,-3.53195e+006) next x1= (0.750667,4.9325) y1= (-49954.8,129313) 9th guess x0= (0.750667,4.9325) y0= (-49954.8,129313) dy0= (886403,-4.20854e+006) next x1= (0.782482,4.93767) y1= (-3101.04,-1853.67) 10th guess x0= (0.782482,4.93767) y0= (-3101.04,-1853.67) dy0= (677079,-4.28987e+006) next x1= (0.782172,4.93844) y1= (1.40465,1.97641) 11th guess x0= (0.782172,4.93844) y0= (1.40465,1.97641) dy0= (680229,-4.29478e+006) next x1= (0.782172,4.93844) y1= (-2.28174e-007,1.0659e-006) found root= (0.782172,4.93844) remove root from p polynomial red of degree 8 red^8 = (1,0) red^7 = (6.72498,5.16064) red^6 = (-14.4798,14.4798) red^5 = (-129.016,-168.125) red^4 = (625,-625) red^3 = (4203.12,3225.4) red^2 = (-9049.89,9049.88) red^1 = (-80635,-105078) red^0 = (0.3658,-390625) find 8th root 0th guess x0= (2.4,2.3) y0= (-245500,-713900) dy0= (-59943.2,162314) next x1= (5.77887,-0.460323) y1= (2.06914e+006,-1.60865e+006) 1th guess x0= (5.77887,-0.460323) y0= (2.06914e+006,-1.60865e+006) dy0= (3.06974e+006,-787687) next x1= (5.0203,-0.130934) y1= (614422,-725412) 2th guess x0= (5.0203,-0.130934) y0= (614422,-725412) dy0= (1.21932e+006,34824) next x1= (4.53378,0.477891) y1= (53535,-388427) 3th guess x0= (4.53378,0.477891) y0= (53535,-388427) dy0= (394745,415586) next x1= (4.96081,1.01232) y1= (-236663,60009.3) 4th guess x0= (4.96081,1.01232) y0= (-236663,60009.3) dy0= (-8972.93,1.09113e+006) next x1= (4.90403,0.795888) y1= (-23584,-29000.9) 5th guess x0= (4.90403,0.795888) y0= (-23584,-29000.9) dy0= (284132,943273) next x1= (4.93912,0.781456) y1= (921.686,439.473) 6th guess x0= (4.93912,0.781456) y0= (921.686,439.473) dy0= (320640,983312) next x1= (4.93844,0.782172) y1= (0.651018,-0.282938) 7th guess x0= (4.93844,0.782172) y0= (0.651018,-0.282938) dy0= (319316,982751) next x1= (4.93844,0.782172) y1= (-1.79825e-007,-2.9197e-007) found root= (4.93844,0.782172) remove root from p polynomial red of degree 7 red^7 = (1,0) red^6 = (11.6634,5.94281) red^5 = (38.471,52.9508) red^4 = (19.5543,123.461) red^3 = (625.001,-0.000399794) red^2 = (7289.65,3714.26) red^1 = (24044.4,33094.3) red^0 = (12221.5,77163.1) find 7th root 0th guess x0= (2.4,2.3) y0= (-52631,249765) dy0= (-13052.3,26646.3) next x1= (-5.93982,4.40995) y1= (-617084,-22057.3) 1th guess x0= (-5.93982,4.40995) y0= (-617084,-22057.3) dy0= (421046,512811) next x1= (-5.32397,3.71227) y1= (-211450,-14976.2) 2th guess x0= (-5.32397,3.71227) y0= (-211450,-14976.2) dy0= (172171,192605) next x1= (-4.73526,3.14067) y1= (-76428.3,-11082.4) 3th guess x0= (-4.73526,3.14067) y0= (-76428.3,-11082.4) dy0= (67716.3,62510.2) next x1= (-4.04432,2.66651) y1= (-34223.6,-9453.62) 4th guess x0= (-4.04432,2.66651) y0= (-34223.6,-9453.62) dy0= (17172.4,9144.26) next x1= (-2.26325,2.26861) y1= (-53794.6,-3082.14) 5th guess x0= (-2.26325,2.26861) y0= (-53794.6,-3082.14) dy0= (-30643.4,14854.7) next x1= (-3.64524,1.4981) y1= (-23128.6,-3591.04) 6th guess x0= (-3.64524,1.4981) y0= (-23128.6,-3591.04) dy0= (-9967.58,9795.02) next x1= (-4.64558,0.154801) y1= (-7649.55,5656.75) 7th guess x0= (-4.64558,0.154801) y0= (-7649.55,5656.75) dy0= (-5138.09,-4995.92) next x1= (-4.8606,1.46482) y1= (-3533,-17573.4) 8th guess x0= (-4.8606,1.46482) y0= (-3533,-17573.4) dy0= (-28855.8,13020.7) next x1= (-4.73401,0.912933) y1= (-3676.8,-3323.21) 9th guess x0= (-4.73401,0.912933) y0= (-3676.8,-3323.21) dy0= (-19543.5,-322.499) next x1= (-4.9249,0.746042) y1= (-516.688,630.136) 10th guess x0= (-4.9249,0.746042) y0= (-516.688,630.136) dy0= (-19454,-6935.48) next x1= (-4.93822,0.783182) y1= (2.18275,-22.2582) 11th guess x0= (-4.93822,0.783182) y0= (2.18275,-22.2582) dy0= (-20556.7,-6650.28) next x1= (-4.93844,0.78217) y1= (-0.0135792,-0.00785015) 12th guess x0= (-4.93844,0.78217) y0= (-0.0135792,-0.00785015) dy0= (-20536.3,-6672.67) next x1= (-4.93844,0.78217) y1= (1.49157e-009,7.5961e-009) found root= (-4.93844,0.78217) remove root from p polynomial red of degree 6 red^6 = (1,0) red^5 = (6.72499,6.72498) red^4 = (1.78709e-005,25) red^3 = (-6.8499e-007,-4.95754e-005) red^2 = (625.001,-0.000155505) red^1 = (4203.12,4203.12) red^0 = (0.0175032,15625) find 6th root 0th guess x0= (2.4,2.3) y0= (-126.933,34061.5) dy0= (-1889.48,-619.644) next x1= (7.67709,18.5963) y1= (7.93161e+007,5.9712e+007) 1th guess x0= (7.67709,18.5963) y0= (7.93161e+007,5.9712e+007) dy0= (2.41782e+007,-1.36664e+007) next x1= (6.24886,15.3193) y1= (2.65052e+007,2.0035e+007) 2th guess x0= (6.24886,15.3193) y0= (2.65052e+007,2.0035e+007) dy0= (9.71145e+006,-5.51673e+006) next x1= (5.07147,12.5875) y1= (8.84345e+006,6.73782e+006) 3th guess x0= (5.07147,12.5875) y0= (8.84345e+006,6.73782e+006) dy0= (3.8963e+006,-2.23537e+006) next x1= (4.11027,10.3067) y1= (2.9418e+006,2.27809e+006) 4th guess x0= (4.11027,10.3067) y0= (2.9418e+006,2.27809e+006) dy0= (1.55849e+006,-912738) next x1= (3.34219,8.39517) y1= (972675,779974) 5th guess x0= (3.34219,8.39517) y0= (972675,779974) dy0= (618303,-378589) next x1= (2.7598,6.77709) y1= (317399,275018) 6th guess x0= (2.7598,6.77709) y0= (317399,275018) dy0= (239666,-161998) next x1= (2.38318,5.37501) y1= (100265,103693) 7th guess x0= (2.38318,5.37501) y0= (100265,103693) dy0= (86263.2,-73122.2) next x1= (2.29975,4.10224) y1= (28335.4,45259.1) 8th guess x0= (2.29975,4.10224) y0= (28335.4,45259.1) dy0= (22264.6,-34692.4) next x1= (2.85249,2.93074) y1= (881.492,27878.6) 9th guess x0= (2.85249,2.93074) y0= (881.492,27878.6) dy0= (-10267.2,-12235.6) next x1= (4.225,4.01039) y1= (-15358.4,-59066.3) 10th guess x0= (4.225,4.01039) y0= (-15358.4,-59066.3) dy0= (-79994,-62630.3) next x1= (3.74757,3.64581) y1= (-4369.49,-12302.4) 11th guess x0= (3.74757,3.64581) y0= (-4369.49,-12302.4) dy0= (-45775,-40023.7) next x1= (3.56029,3.5408) y1= (-686.527,-1041.84) 12th guess x0= (3.56029,3.5408) y0= (-686.527,-1041.84) dy0= (-35707.3,-34743.3) next x1= (3.53583,3.53542) y1= (-14.0556,-6.39083) 13th guess x0= (3.53583,3.53542) y0= (-14.0556,-6.39083) dy0= (-34504.6,-34484.7) next x1= (3.53553,3.53553) y1= (-0.00184195,0.00160532) 14th guess x0= (3.53553,3.53553) y0= (-0.00184195,0.00160532) dy0= (-34490.2,-34490.1) next x1= (3.53553,3.53553) y1= (6.54836e-011,5.45697e-012) found root= (3.53553,3.53553) remove root from p polynomial red of degree 5 red^5 = (1,0) red^4 = (10.2605,10.2605) red^3 = (3.64806e-005,97.5528) red^2 = (-344.901,344.902) red^1 = (-1813.82,0.000823865) red^0 = (-2209.71,-2209.71) find 5th root 0th guess x0= (2.4,2.3) y0= (-14893.6,-13790.9) dy0= (-11022.8,394.394) next x1= (1.09528,1.0022) y1= (-5338.48,-4955.25) 1th guess x0= (1.09528,1.0022) y0= (-5338.48,-4955.25) dy0= (-4115.31,150.825) next x1= (-0.156137,-0.247769) y1= (-1940.13,-1797.42) 2th guess x0= (-0.156137,-0.247769) y0= (-1940.13,-1797.42) dy0= (-1556.73,53.2535) next x1= (-1.36152,-1.44362) y1= (-647.94,-594.192) 3th guess x0= (-1.36152,-1.44362) y0= (-647.94,-594.192) dy0= (-654.481,19.9402) next x1= (-2.32297,-2.38079) y1= (-197.148,-180.785) 4th guess x0= (-2.32297,-2.38079) y0= (-197.148,-180.785) dy0= (-282.906,8.96065) next x1= (-2.99892,-3.04123) y1= (-61.1076,-55.7093) 5th guess x0= (-2.99892,-3.04123) y0= (-61.1076,-55.7093) dy0= (-127.488,2.80652) next x1= (-3.46839,-3.48854) y1= (-7.94827,-5.61865) 6th guess x0= (-3.46839,-3.48854) y0= (-7.94827,-5.61865) dy0= (-115.525,-1.01) next x1= (-3.53762,-3.53657) y1= (0.253923,0.127655) 7th guess x0= (-3.53762,-3.53657) y0= (0.253923,0.127655) dy0= (-122.575,0.0731594) next x1= (-3.53555,-3.53553) y1= (0.000261679,3.84052e-005) 8th guess x0= (-3.53555,-3.53553) y0= (0.000261679,3.84052e-005) dy0= (-122.359,0.00142602) next x1= (-3.53554,-3.53553) y1= (2.01453e-010,-1.07775e-010) found root= (-3.53555,-3.53553) remove root from p polynomial red of degree 4 red^4 = (1,0) red^3 = (6.72498,6.72499) red^2 = (-2.8077e-005,50) red^1 = (-168.125,168.124) red^0 = (-624.999,-0.000600371) find 4th root 0th guess x0= (2.4,2.3) y0= (-2437.48,72.9679) dy0= (-708.43,750.646) next x1= (0.727717,0.631064) y1= (-908.501,24.8535) 1th guess x0= (0.727717,0.631064) y0= (-908.501,24.8535) dy0= (-249.048,265.081) next x1= (-1.03239,-1.14255) y1= (-348.475,10.663) 2th guess x0= (-1.03239,-1.14255) y0= (-348.475,10.663) dy0= (-94.5274,98.9998) next x1= (-2.84683,-2.93004) y1= (-118.137,1.92698) 3th guess x0= (-2.84683,-2.93004) y0= (-118.137,1.92698) dy0= (-20.3936,25.9784) next x1= (-5.10146,-5.70761) y1= (-861.361,-275.13) 4th guess x0= (-5.10146,-5.70761) y0= (-861.361,-275.13) dy0= (558.79,-338.07) next x1= (-4.19109,-4.66447) y1= (-287.095,-83.698) 5th guess x0= (-4.19109,-4.66447) y0= (-287.095,-83.698) dy0= (224.709,-123.997) next x1= (-3.36924,-3.83849) y1= (-120.992,-19.6178) 6th guess x0= (-3.36924,-3.83849) y0= (-120.992,-19.6178) dy0= (68.3725,-11.8585) next x1= (-1.69963,-3.26199) y1= (-119.572,78.3268) 7th guess x0= (-1.69963,-3.26199) y0= (-119.572,78.3268) dy0= (-24.6441,91.2365) next x1= (-2.82969,-4.26732) y1= (-64.4894,-40.8064) 8th guess x0= (-2.82969,-4.26732) y0= (-64.4894,-40.8064) dy0= (93.2454,67.3491) next x1= (-2.16746,-4.30801) y1= (-12.9704,21.5601) 9th guess x0= (-2.16746,-4.30801) y0= (-12.9704,21.5601) dy0= (48.2448,125.442) next x1= (-2.28255,-4.45566) y1= (-0.765795,-1.6861) 10th guess x0= (-2.28255,-4.45566) y0= (-0.765795,-1.6861) dy0= (67.8673,130.081) next x1= (-2.26994,-4.45498) y1= (-0.00759747,0.0049304) 11th guess x0= (-2.26994,-4.45498) y0= (-0.00759747,0.0049304) dy0= (66.7077,130.925) next x1= (-2.26995,-4.45504) y1= (1.35743e-007,-1.67317e-007) found root= (-2.26994,-4.45498) remove root from p polynomial red of degree 3 red^3 = (1,0) red^2 = (4.45503,2.27001) red^1 = (0.000144097,25.0001) red^0 = (-56.7501,111.375) find 3th root 0th guess x0= (2.4,2.3) y0= (-161.481,249.203) dy0= (12.3522,89.5093) next x1= (-0.0877628,0.15262) y1= (-60.5688,109.026) 1th guess x0= (-0.0877628,0.15262) y0= (-60.5688,109.026) dy0= (-1.5215,25.8812) next x1= (-4.42292,-1.93279) y1= (-13.688,6.68704) 2th guess x0= (-4.42292,-1.93279) y0= (-13.688,6.68704) dy0= (16.8462,38.9901) next x1= (-4.43963,-2.29107) y1= (1.17759,0.392121) 3th guess x0= (-4.43963,-2.29107) y0= (1.17759,0.392121) dy0= (14.2281,45.4595) next x1= (-4.45487,-2.26994) y1= (-0.00104818,0.00670204) 4th guess x0= (-4.45487,-2.26994) y0= (-0.00104818,0.00670204) dy0= (14.6922,45.2233) next x1= (-4.45499,-2.27) y1= (-3.26267e-008,-2.00881e-007) found root= (-4.45487,-2.26994) remove root from p polynomial red of degree 2 red^2 = (1,0) red^1 = (0.000165169,7.37271e-005) red^0 = (-0.000424353,24.9994) find 2th root 0th guess x0= (2.4,2.3) y0= (0.469802,36.04) dy0= (4.80017,4.60007) next x1= (-1.40165,-1.56489) y1= (-0.484777,29.3859) 1th guess x0= (-1.40165,-1.56489) y0= (-0.484777,29.3859) dy0= (-2.80314,-3.1297) next x1= (3.73131,3.18739) y1= (3.76315,48.7865) 2th guess x0= (3.73131,3.18739) y0= (3.76315,48.7865) dy0= (7.46278,6.37485) next x1= (0.211282,-0.343047) y1= (-0.0734053,24.8544) 3th guess x0= (0.211282,-0.343047) y0= (-0.0734053,24.8544) dy0= (0.422729,-0.68602) next x1= (26.5182,-16.4465) y1= (432.732,-847.262) 4th guess x0= (26.5182,-16.4465) y0= (432.732,-847.262) dy0= (53.0365,-32.8929) next x1= (13.4702,-8.56367) y1= (108.112,-205.709) 5th guess x0= (13.4702,-8.56367) y0= (108.112,-205.709) dy0= (26.9405,-17.1273) next x1= (7.15519,-4.9427) y1= (26.7676,-45.7328) 6th guess x0= (7.15519,-4.9427) y0= (26.7676,-45.7328) dy0= (14.3105,-9.88533) next x1= (4.39449,-3.65397) y1= (5.96063,-7.11558) 7th guess x0= (4.39449,-3.65397) y0= (5.96063,-7.11558) dy0= (8.78915,-7.30787) next x1= (3.59553,-3.5087) y1= (0.617247,-0.232135) 8th guess x0= (3.59553,-3.5087) y0= (0.617247,-0.232135) dy0= (7.19122,-7.01733) next x1= (3.53542,-3.53507) y1= (0.00291699,0.00316964) 9th guess x0= (3.53542,-3.53507) y0= (0.00291699,0.00316964) dy0= (7.07101,-7.07007) next x1= (3.53544,-3.5355) y1= (-1.84946e-007,-1.53557e-008) found root= (3.53542,-3.53507) remove root from p polynomial red of degree 1 red^1 = (1,0) red^0 = (3.53559,-3.535) find 1th root 0th guess x0= (2.4,2.3) y0= (5.93559,-1.235) dy0= (1,0) next x1= (-3.53559,3.535) y1= (0,0) 1th guess x0= (-3.53559,3.535) y0= (0,0) dy0= (1,0) next x1= (-3.53559,3.535) y1= (0,0) found root= (-3.53559,3.535) remove root from p polynomial red of degree 0 red^0 = (1,0)