Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 896838121] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0883 geometric_solution 4.78488402 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.470872622935 0.161361242863 2 0 3 0 0132 2310 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 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 0.628596556675 0.489923202951 1 4 3 3 0132 0132 3012 2310 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 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 0.611134450019 1.339171671623 2 2 4 1 3201 1230 3201 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611134450019 1.339171671623 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.019102237279 1.045099757555 4 6 4 6 2310 0132 0132 2310 0 0 0 0 0 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 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 -0.366036347567 1.204127614823 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.423210460667 0.089220189083 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6219/247*c_0110_6^7 + 5539/494*c_0110_6^6 - 22727/494*c_0110_6^5 + 44806/247*c_0110_6^4 - 183325/494*c_0110_6^3 - 29901/247*c_0110_6^2 - 56445/494*c_0110_6 - 14831/247, c_0011_0 - 1, c_0011_1 - 1/494*c_0110_6^7 - 2/247*c_0110_6^6 - 7/247*c_0110_6^5 - 32/247*c_0110_6^4 + 9/494*c_0110_6^3 + 17/247*c_0110_6^2 - 355/494*c_0110_6 + 309/494, c_0011_3 + 185/494*c_0110_6^7 - 1/494*c_0110_6^6 - 187/247*c_0110_6^5 + 733/247*c_0110_6^4 - 1697/247*c_0110_6^3 + 379/494*c_0110_6^2 - 521/494*c_0110_6 + 139/494, c_0011_5 + 62/247*c_0110_6^7 + 1/247*c_0110_6^6 - 120/247*c_0110_6^5 + 510/247*c_0110_6^4 - 1052/247*c_0110_6^3 + 115/247*c_0110_6^2 - 220/247*c_0110_6 + 108/247, c_0101_0 + 77/494*c_0110_6^7 + 61/494*c_0110_6^6 - 157/494*c_0110_6^5 + 241/247*c_0110_6^4 - 470/247*c_0110_6^3 - 568/247*c_0110_6^2 - 41/247*c_0110_6 - 81/494, c_0101_1 - 2/247*c_0110_6^7 - 8/247*c_0110_6^6 - 28/247*c_0110_6^5 - 9/494*c_0110_6^4 + 18/247*c_0110_6^3 - 179/247*c_0110_6^2 + 803/494*c_0110_6 + 1/494, c_0110_6^8 - 2*c_0110_6^6 + 8*c_0110_6^5 - 18*c_0110_6^4 + 2*c_0110_6^3 - 3*c_0110_6^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 37964441/702347*c_0110_6^11 - 9372124/702347*c_0110_6^10 + 140770789/702347*c_0110_6^9 + 151403236/702347*c_0110_6^8 + 599879086/702347*c_0110_6^7 + 13840297/702347*c_0110_6^6 - 1310536191/702347*c_0110_6^5 - 506575165/702347*c_0110_6^4 + 180025777/702347*c_0110_6^3 - 266208508/702347*c_0110_6^2 - 79099577/702347*c_0110_6 + 57491619/702347, c_0011_0 - 1, c_0011_1 + 831136/702347*c_0110_6^11 - 87955/702347*c_0110_6^10 - 3001308/702347*c_0110_6^9 - 2241664/702347*c_0110_6^8 - 12518898/702347*c_0110_6^7 + 3920778/702347*c_0110_6^6 + 26466932/702347*c_0110_6^5 + 1727293/702347*c_0110_6^4 - 2889994/702347*c_0110_6^3 + 7230713/702347*c_0110_6^2 - 428736/702347*c_0110_6 - 1548765/702347, c_0011_3 + 271740/702347*c_0110_6^11 + 199226/702347*c_0110_6^10 - 1157872/702347*c_0110_6^9 - 1536908/702347*c_0110_6^8 - 4160138/702347*c_0110_6^7 - 1785985/702347*c_0110_6^6 + 12039372/702347*c_0110_6^5 + 7120686/702347*c_0110_6^4 - 5322749/702347*c_0110_6^3 + 2014555/702347*c_0110_6^2 + 2203992/702347*c_0110_6 - 1919875/702347, c_0011_5 + 596752/702347*c_0110_6^11 + 8522/702347*c_0110_6^10 - 2217608/702347*c_0110_6^9 - 1901336/702347*c_0110_6^8 - 8925318/702347*c_0110_6^7 + 1968894/702347*c_0110_6^6 + 20144776/702347*c_0110_6^5 + 3773930/702347*c_0110_6^4 - 4517547/702347*c_0110_6^3 + 4716624/702347*c_0110_6^2 + 834832/702347*c_0110_6 - 1733432/702347, c_0101_0 - 1217528/702347*c_0110_6^11 - 271740/702347*c_0110_6^10 + 4670886/702347*c_0110_6^9 + 4810456/702347*c_0110_6^8 + 18582300/702347*c_0110_6^7 - 709974/702347*c_0110_6^6 - 44480079/702347*c_0110_6^5 - 15691956/702347*c_0110_6^4 + 11142234/702347*c_0110_6^3 - 5635003/702347*c_0110_6^2 - 3232083/702347*c_0110_6 + 2666120/702347, c_0101_1 - 98488/702347*c_0110_6^11 + 1776/702347*c_0110_6^10 + 303324/702347*c_0110_6^9 + 382587/702347*c_0110_6^8 + 1649540/702347*c_0110_6^7 - 394716/702347*c_0110_6^6 - 2563840/702347*c_0110_6^5 - 2030971/702347*c_0110_6^4 - 300600/702347*c_0110_6^3 + 387087/702347*c_0110_6^2 + 739847/702347*c_0110_6 + 207748/702347, c_0110_6^12 - 4*c_0110_6^10 - 3*c_0110_6^9 - 14*c_0110_6^8 + 4*c_0110_6^7 + 38*c_0110_6^6 + 3*c_0110_6^5 - 15*c_0110_6^4 + 9*c_0110_6^3 + c_0110_6^2 - 4*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB