Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 3768679487] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1446 geometric_solution 5.26843339 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873735871627 0.947780293012 0 4 2 3 0132 3120 2031 1302 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192155562 0.570367234598 5 0 5 1 0132 0132 2310 1302 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 -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 1.623497630499 0.629247030050 3 3 1 0 1302 2031 2031 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519792212926 0.437418544604 4 1 0 4 3012 3120 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076769309181 0.743385396783 2 2 6 6 0132 3201 0132 3201 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359873399455 0.356994953889 6 5 6 5 2310 2310 3201 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 -1.298708016468 0.534890318251 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), '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_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 444/89*c_0101_5^18 - 3872/89*c_0101_5^16 + 14889/89*c_0101_5^14 - 35708/89*c_0101_5^12 + 60847/89*c_0101_5^10 - 73807/89*c_0101_5^8 + 61512/89*c_0101_5^6 - 33983/89*c_0101_5^4 + 11889/89*c_0101_5^2 - 2520/89, c_0011_0 - 1, c_0011_3 - 53/89*c_0101_5^19 + 463/89*c_0101_5^17 - 1826/89*c_0101_5^15 + 4600/89*c_0101_5^13 - 8301/89*c_0101_5^11 + 10815/89*c_0101_5^9 - 10080/89*c_0101_5^7 + 6402/89*c_0101_5^5 - 2495/89*c_0101_5^3 + 474/89*c_0101_5, c_0011_4 - 39/89*c_0101_5^19 + 381/89*c_0101_5^17 - 1656/89*c_0101_5^15 + 4421/89*c_0101_5^13 - 8251/89*c_0101_5^11 + 11090/89*c_0101_5^9 - 10440/89*c_0101_5^7 + 6459/89*c_0101_5^5 - 2333/89*c_0101_5^3 + 421/89*c_0101_5, c_0011_6 - 27/89*c_0101_5^18 + 209/89*c_0101_5^16 - 722/89*c_0101_5^14 + 1623/89*c_0101_5^12 - 2652/89*c_0101_5^10 + 3125/89*c_0101_5^8 - 2675/89*c_0101_5^6 + 1651/89*c_0101_5^4 - 732/89*c_0101_5^2 + 134/89, c_0101_0 - 14/89*c_0101_5^18 + 82/89*c_0101_5^16 - 170/89*c_0101_5^14 + 179/89*c_0101_5^12 - 50/89*c_0101_5^10 - 275/89*c_0101_5^8 + 360/89*c_0101_5^6 - 57/89*c_0101_5^4 - 162/89*c_0101_5^2 + 53/89, c_0101_2 + 81/89*c_0101_5^19 - 716/89*c_0101_5^17 + 2789/89*c_0101_5^15 - 6738/89*c_0101_5^13 + 11516/89*c_0101_5^11 - 14003/89*c_0101_5^9 + 11585/89*c_0101_5^7 - 6199/89*c_0101_5^5 + 2018/89*c_0101_5^3 - 402/89*c_0101_5, c_0101_5^20 - 9*c_0101_5^18 + 36*c_0101_5^16 - 90*c_0101_5^14 + 160*c_0101_5^12 - 205*c_0101_5^10 + 185*c_0101_5^8 - 114*c_0101_5^6 + 46*c_0101_5^4 - 12*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB