Magma V2.19-8 Tue Aug 20 2013 23:46:10 on localhost [Seed = 3296898757] Type ? for help. Type -D to quit. Loading file "K14n15154__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15154 geometric_solution 10.48212168 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 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 -0.715140720610 0.810630275185 0 4 6 5 0132 3012 0132 0132 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 -1 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 -0.148081449302 0.941278409522 4 0 7 3 3012 0132 0132 3012 0 0 0 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 1 -1 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 0.380629128330 0.747609178474 5 6 2 0 3201 3201 1230 0132 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 -0.148081449302 0.941278409522 1 8 0 2 1230 0132 0132 1230 0 0 0 0 0 1 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 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 0.380629128330 0.747609178474 9 10 1 3 0132 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129407058057 1.563882081869 8 7 3 1 3120 3120 2310 0132 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0.269854632527 0.647926157810 11 6 9 2 0132 3120 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 -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 1 0 0 1 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725351906473 0.648116050477 10 4 11 6 3201 0132 1023 3120 0 0 0 0 0 -1 1 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 0 0 0 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 0.725351906473 0.648116050477 5 11 7 10 0132 3120 1023 1302 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162230604538 0.572480333170 11 5 9 8 3120 0132 2031 2310 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 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 0.162230604538 0.572480333170 7 9 8 10 0132 3120 1023 3120 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.251482215308 0.495414517919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2290841831196523/23404876982400*c_0101_7^12 + 13035105943929127/11702438491200*c_0101_7^11 - 57224158951757/9752032076*c_0101_7^10 + 148886568115166179/7801625660800*c_0101_7^9 - 500567749489316971/11702438491200*c_0101_7^8 + 1633544035119386491/23404876982400*c_0101_7^7 - 2010880419741564623/23404876982400*c_0101_7^6 + 482288000977398029/5851219245600*c_0101_7^5 - 124911982217320881/1950406415200*c_0101_7^4 + 120030574337293693/2925609622800*c_0101_7^3 - 1191896687935777/58512192456*c_0101_7^2 + 2348323142075761/365701202850*c_0101_7 - 158926836363631/182850601425, c_0011_0 - 1, c_0011_10 + 274397519/62313304*c_0101_7^12 - 6372962637/124626608*c_0101_7^11 + 2146337242/7789163*c_0101_7^10 - 57265935413/62313304*c_0101_7^9 + 264057332019/124626608*c_0101_7^8 - 222372033269/62313304*c_0101_7^7 + 566812744783/124626608*c_0101_7^6 - 563449354159/124626608*c_0101_7^5 + 226062054791/62313304*c_0101_7^4 - 74706573305/31156652*c_0101_7^3 + 38977667581/31156652*c_0101_7^2 - 3428510909/7789163*c_0101_7 + 576348756/7789163, c_0011_11 + 603081941/498506432*c_0101_7^12 - 3583741145/249253216*c_0101_7^11 + 9870866417/124626608*c_0101_7^10 - 134217823831/498506432*c_0101_7^9 + 157131089997/249253216*c_0101_7^8 - 535387897937/498506432*c_0101_7^7 + 686960231649/498506432*c_0101_7^6 - 10693134064/7789163*c_0101_7^5 + 8575579755/7789163*c_0101_7^4 - 5675553318/7789163*c_0101_7^3 + 5938286033/15578326*c_0101_7^2 - 2060347857/15578326*c_0101_7 + 167742084/7789163, c_0011_3 + 3815286497/498506432*c_0101_7^12 - 11232895777/124626608*c_0101_7^11 + 30696816863/62313304*c_0101_7^10 - 830525479507/498506432*c_0101_7^9 + 60673957481/15578326*c_0101_7^8 - 3315855520577/498506432*c_0101_7^\ 7 + 4283472054367/498506432*c_0101_7^6 - 2155480469857/249253216*c_0101_7^5 + 218435081575/31156652*c_0101_7^4 - 36459800751/7789163*c_0101_7^3 + 77264413217/31156652*c_0101_7^2 - 6993841196/7789163*c_0101_7 + 1230176218/7789163, c_0011_6 - 20868518/7789163*c_0101_7^12 + 7689120743/249253216*c_0101_7^11 - 20477484927/124626608*c_0101_7^10 + 4205012032/7789163*c_0101_7^9 - 304555196581/249253216*c_0101_7^8 + 250868346187/124626608*c_0101_7^7 - 623475167447/249253216*c_0101_7^6 + 603564095915/249253216*c_0101_7^5 - 118208846483/62313304*c_0101_7^4 + 76402965069/62313304*c_0101_7^3 - 4807218074/7789163*c_0101_7^2 + 1562526589/7789163*c_0101_7 - 231781366/7789163, c_0101_0 - 1954395333/249253216*c_0101_7^12 + 22935273671/249253216*c_0101_7^11 - 62448277751/124626608*c_0101_7^10 + 420821745383/249253216*c_0101_7^9 - 979925620273/249253216*c_0101_7^8 + 1666477694227/249253216*c_0101_7^7 - 1071519584859/124626608*c_0101_7^6 + 2146828795529/249253216*c_0101_7^5 - 433289601677/62313304*c_0101_7^4 + 288178712241/62313304*c_0101_7^3 - 75941957147/31156652*c_0101_7^2 + 13588900431/15578326*c_0101_7 - 1166127102/7789163, c_0101_1 - 1213363899/249253216*c_0101_7^12 + 7153854209/124626608*c_0101_7^11 - 9776527627/31156652*c_0101_7^10 + 264246400697/249253216*c_0101_7^9 - 308241194485/124626608*c_0101_7^8 + 1049650797363/249253216*c_0101_7^7 - 1350527664787/249253216*c_0101_7^6 + 84558147499/15578326*c_0101_7^5 - 272985691999/62313304*c_0101_7^4 + 45386590295/15578326*c_0101_7^3 - 47821360485/31156652*c_0101_7^2 + 4265996421/7789163*c_0101_7 - 726362374/7789163, c_0101_10 - 603081941/498506432*c_0101_7^12 + 3583741145/249253216*c_0101_7^11 - 9870866417/124626608*c_0101_7^10 + 134217823831/498506432*c_0101_7^9 - 157131089997/249253216*c_0101_7^8 + 535387897937/498506432*c_0101_7^7 - 686960231649/498506432*c_0101_7^6 + 10693134064/7789163*c_0101_7^5 - 8575579755/7789163*c_0101_7^4 + 5675553318/7789163*c_0101_7^3 - 5938286033/15578326*c_0101_7^2 + 2060347857/15578326*c_0101_7 - 167742084/7789163, c_0101_11 - 1451860619/498506432*c_0101_7^12 + 4154501539/124626608*c_0101_7^11 - 22062741933/124626608*c_0101_7^10 + 289875440521/498506432*c_0101_7^9 - 10268980582/7789163*c_0101_7^8 + 1086426810863/498506432*c_0101_7^7 - 1356621382541/498506432*c_0101_7^6 + 660165716801/249253216*c_0101_7^5 - 259778766387/124626608*c_0101_7^4 + 42110404267/31156652*c_0101_7^3 - 10678856005/15578326*c_0101_7^2 + 3529932077/15578326*c_0101_7 - 262955681/7789163, c_0101_3 + 1213363899/249253216*c_0101_7^12 - 7153854209/124626608*c_0101_7^11 + 9776527627/31156652*c_0101_7^10 - 264246400697/249253216*c_0101_7^9 + 308241194485/124626608*c_0101_7^8 - 1049650797363/249253216*c_0101_7^7 + 1350527664787/249253216*c_0101_7^6 - 84558147499/15578326*c_0101_7^5 + 272985691999/62313304*c_0101_7^4 - 45386590295/15578326*c_0101_7^3 + 47821360485/31156652*c_0101_7^2 - 4265996421/7789163*c_0101_7 + 726362374/7789163, c_0101_7^13 - 136/11*c_0101_7^12 + 784/11*c_0101_7^11 - 2809/11*c_0101_7^10 + 636*c_0101_7^9 - 12819/11*c_0101_7^8 + 1627*c_0101_7^7 - 19570/11*c_0101_7^6 + 17240/11*c_0101_7^5 - 12520/11*c_0101_7^4 + 7424/11*c_0101_7^3 - 3328/11*c_0101_7^2 + 960/11*c_0101_7 - 128/11, c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.050 Total time: 2.259 seconds, Total memory usage: 32.09MB