Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 139039960] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1426 geometric_solution 5.25925026 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 -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 1.444612810753 0.207484971061 0 2 2 0 3201 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.129131305250 0.246431661624 3 1 1 4 0132 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853465534375 0.422087382650 2 5 4 6 0132 0132 3201 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 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 0.319298333477 0.747368163677 3 6 2 5 2310 1023 0132 1023 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 -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 0.319298333477 0.747368163677 5 3 5 4 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551958900537 0.551362909445 4 6 3 6 1023 2310 0132 3201 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.483411370720 1.131500639236 ==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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 79/13*c_0110_5^4 + 308/13*c_0110_5^2 + 902/13, c_0011_0 - 1, c_0011_1 - 1/13*c_0110_5^4 + 9/13*c_0110_5^2 + 5/13, c_0011_4 - 2/13*c_0110_5^5 + 5/13*c_0110_5^3 + 23/13*c_0110_5, c_0101_0 + 5/13*c_0110_5^5 - 19/13*c_0110_5^3 - 51/13*c_0110_5, c_0101_2 + 3/13*c_0110_5^5 - 14/13*c_0110_5^3 - 28/13*c_0110_5, c_0101_3 - 3/13*c_0110_5^4 + 14/13*c_0110_5^2 + 2/13, c_0110_5^6 - 4*c_0110_5^4 - 11*c_0110_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2431832002/197465199*c_0110_5^18 + 11271309126/65821733*c_0110_5^16 - 81613833929/65821733*c_0110_5^14 + 349777810695/65821733*c_0110_5^12 - 2552313060763/197465199*c_0110_5^10 + 1138705068605/65821733*c_0110_5^8 - 2452728057284/197465199*c_0110_5^6 + 870833498881/197465199*c_0110_5^4 - 134716833868/197465199*c_0110_5^2 + 14743131911/197465199, c_0011_0 - 1, c_0011_1 + 12336754/65821733*c_0110_5^18 - 173722839/65821733*c_0110_5^16 + 1268687716/65821733*c_0110_5^14 - 5496036699/65821733*c_0110_5^12 + 13575479685/65821733*c_0110_5^10 - 18421769870/65821733*c_0110_5^8 + 13147353740/65821733*c_0110_5^6 - 4355811426/65821733*c_0110_5^4 + 453056651/65821733*c_0110_5^2 - 48946670/65821733, c_0011_4 - 34424623/65821733*c_0110_5^19 + 457604285/65821733*c_0110_5^17 - 3187914179/65821733*c_0110_5^15 + 12926588511/65821733*c_0110_5^13 - 28364833545/65821733*c_0110_5^11 + 31496261490/65821733*c_0110_5^9 - 16189121527/65821733*c_0110_5^7 + 2649038905/65821733*c_0110_5^5 + 27350584/65821733*c_0110_5^3 + 73131478/65821733*c_0110_5, c_0101_0 + 2185293/65821733*c_0110_5^19 - 41589502/65821733*c_0110_5^17 + 362235606/65821733*c_0110_5^15 - 1894168544/65821733*c_0110_5^13 + 5915520371/65821733*c_0110_5^11 - 10024387295/65821733*c_0110_5^9 + 7845171983/65821733*c_0110_5^7 - 1678010749/65821733*c_0110_5^5 - 669997213/65821733*c_0110_5^3 + 151489832/65821733*c_0110_5, c_0101_2 - 11783812/65821733*c_0110_5^19 + 144175532/65821733*c_0110_5^17 - 932098694/65821733*c_0110_5^15 + 3356901782/65821733*c_0110_5^13 - 5621497741/65821733*c_0110_5^11 + 2857269890/65821733*c_0110_5^9 + 1011592063/65821733*c_0110_5^7 - 379304932/65821733*c_0110_5^5 - 571527839/65821733*c_0110_5^3 + 82923551/65821733*c_0110_5, c_0101_3 + 8451835/65821733*c_0110_5^18 - 122164723/65821733*c_0110_5^16 + 907597363/65821733*c_0110_5^14 - 4013549359/65821733*c_0110_5^12 + 10193772862/65821733*c_0110_5^10 - 14119123974/65821733*c_0110_5^8 + 9798552394/65821733*c_0110_5^6 - 2787125598/65821733*c_0110_5^4 + 187238956/65821733*c_0110_5^2 - 24576340/65821733, c_0110_5^20 - 14*c_0110_5^18 + 102*c_0110_5^16 - 441*c_0110_5^14 + 1090*c_0110_5^12 - 1502*c_0110_5^10 + 1136*c_0110_5^8 - 446*c_0110_5^6 + 84*c_0110_5^4 - 10*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB