Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 728414205] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1112 geometric_solution 4.97677029 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.323884440946 1.138422234797 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428593313737 0.087948338942 3 0 5 4 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471851208874 1.186955866804 4 5 0 2 1023 1023 0132 2310 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471851208874 1.186955866804 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651320041861 0.205250357310 3 5 5 2 1023 1230 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312920434342 0.703253991348 4 6 6 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312920434342 0.703253991348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 156012816/10197133*c_0101_6^8 + 662717856/10197133*c_0101_6^7 - 375941932/10197133*c_0101_6^6 - 2793790532/10197133*c_0101_6^5 + 3889900326/10197133*c_0101_6^4 - 2089670753/10197133*c_0101_6^3 + 2139008137/10197133*c_0101_6^2 - 116429031/10197133*c_0101_6 + 141570091/10197133, c_0011_0 - 1, c_0011_3 + 7007900/10197133*c_0101_2*c_0101_6^8 - 32486304/10197133*c_0101_2*c_0101_6^7 + 26442922/10197133*c_0101_2*c_0101_6^6 + 126121039/10197133*c_0101_2*c_0101_6^5 - 224505183/10197133*c_0101_2*c_0101_6^4 + 126713195/10197133*c_0101_2*c_0101_6^3 - 99400529/10197133*c_0101_2*c_0101_6^2 + 22702664/10197133*c_0101_2*c_0101_6 - 3249496/10197133*c_0101_2, c_0101_0 + 2135196/10197133*c_0101_6^8 - 8559308/10197133*c_0101_6^7 + 2117546/10197133*c_0101_6^6 + 42114037/10197133*c_0101_6^5 - 42452498/10197133*c_0101_6^4 + 1022294/10197133*c_0101_6^3 - 20917964/10197133*c_0101_6^2 - 2861024/10197133*c_0101_6 + 6855275/10197133, c_0101_1 + 10372800/10197133*c_0101_6^8 - 50795992/10197133*c_0101_6^7 + 51191352/10197133*c_0101_6^6 + 182680488/10197133*c_0101_6^5 - 395198898/10197133*c_0101_6^4 + 262554742/10197133*c_0101_6^3 - 116315635/10197133*c_0101_6^2 + 31812024/10197133*c_0101_6 + 6654604/10197133, c_0101_2^2 - 1878072/10197133*c_0101_6^8 + 5750632/10197133*c_0101_6^7 + 6563456/10197133*c_0101_6^6 - 44900550/10197133*c_0101_6^5 + 7123982/10197133*c_0101_6^4 + 61913531/10197133*c_0101_6^3 - 33470438/10197133*c_0101_6^2 + 23524137/10197133*c_0101_6 - 3885942/10197133, c_0101_5 - 17380700/10197133*c_0101_6^8 + 83282296/10197133*c_0101_6^7 - 77634274/10197133*c_0101_6^6 - 308801527/10197133*c_0101_6^5 + 619704081/10197133*c_0101_6^4 - 389267937/10197133*c_0101_6^3 + 215716164/10197133*c_0101_6^2 - 54514688/10197133*c_0101_6 - 3405108/10197133, c_0101_6^9 - 5*c_0101_6^8 + 11/2*c_0101_6^7 + 67/4*c_0101_6^6 - 79/2*c_0101_6^5 + 61/2*c_0101_6^4 - 17*c_0101_6^3 + 21/4*c_0101_6^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB