Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 105356137] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3111 geometric_solution 6.26733040 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770002727509 1.064749652572 0 3 5 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 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 0.696007521962 0.780671539389 3 0 4 5 2310 0132 3201 2310 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 0 0 1 0 0 -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 0.696007521962 0.780671539389 5 1 2 5 1230 0132 3201 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 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 0.346669137277 0.880320186066 2 6 1 6 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891173753217 0.529667384697 2 3 3 1 3201 3012 1230 0132 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 -1 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 0 0.674962407262 0.654398031049 6 4 6 4 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585667801369 0.173364584846 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 3372071/482052*c_0101_3*c_0110_6^10 + 6893061/160684*c_0101_3*c_0110_6^8 + 430983841/482052*c_0101_3*c_0110_6^6 - 73154055/160684*c_0101_3*c_0110_6^4 - 3760105/28356*c_0101_3*c_0110_6^2 - 24456295/482052*c_0101_3, c_0011_0 - 1, c_0011_4 + 6235/80342*c_0101_3*c_0110_6^11 + 42669/80342*c_0101_3*c_0110_6^9 + 411933/40171*c_0101_3*c_0110_6^7 + 159413/80342*c_0101_3*c_0110_6^5 - 25631/4726*c_0101_3*c_0110_6^3 - 57773/40171*c_0101_3*c_0110_6, c_0101_0 + 2742/200855*c_0110_6^11 + 1900/40171*c_0110_6^9 + 299389/200855*c_0110_6^7 - 1151653/200855*c_0110_6^5 - 22136/11815*c_0110_6^3 + 407992/200855*c_0110_6, c_0101_1 + 13867/200855*c_0110_6^10 + 15967/40171*c_0110_6^8 + 1743144/200855*c_0110_6^6 - 1549188/200855*c_0110_6^4 + 27049/11815*c_0110_6^2 + 20782/200855, c_0101_2 - 14903/200855*c_0101_3*c_0110_6^11 - 31055/80342*c_0101_3*c_0110_6^9 - 1823591/200855*c_0101_3*c_0110_6^\ 7 + 2706717/200855*c_0101_3*c_0110_6^5 - 120817/23630*c_0101_3*c_0110_6^3 - 195003/200855*c_0101_3*c_0110_6, c_0101_3^2 - 13867/401710*c_0110_6^10 - 15967/80342*c_0110_6^8 - 871572/200855*c_0110_6^6 + 774594/200855*c_0110_6^4 - 19432/11815*c_0110_6^2 - 221637/401710, c_0110_6^12 + 6*c_0110_6^10 + 127*c_0110_6^8 - 82*c_0110_6^6 - 10*c_0110_6^4 - 5*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB