Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 1579139922] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2851 geometric_solution 6.07547284 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 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 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 0.431950663748 0.636783815799 0 5 2 6 0132 0132 3201 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.128916092340 1.182097958259 1 0 5 4 2310 0132 0132 2310 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 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167585233718 0.777214460723 3 3 6 0 1302 2031 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 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 0.499827545172 0.330905301290 2 6 0 5 3201 0132 0132 0132 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 1 -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 1.836314746299 1.041698165425 6 1 4 2 3201 0132 0132 0132 0 0 0 0 0 1 -1 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 -1 1 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 0.167585233718 0.777214460723 3 4 1 5 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431950663748 0.636783815799 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_0101_0, c_0101_1, c_0101_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 73103424/77215*c_1001_5^11 - 125779584/77215*c_1001_5^10 + 336461104/77215*c_1001_5^9 + 124659736/15443*c_1001_5^8 - 103442932/15443*c_1001_5^7 - 1130533404/77215*c_1001_5^6 + 45622323/15443*c_1001_5^5 + 836953279/77215*c_1001_5^4 + 68321758/77215*c_1001_5^3 - 182030207/77215*c_1001_5^2 - 44579637/77215*c_1001_5 - 6367751/77215, c_0011_0 - 1, c_0011_3 - 300952/15443*c_1001_5^11 - 493244/15443*c_1001_5^10 + 1476502/15443*c_1001_5^9 + 2511375/15443*c_1001_5^8 - 5098795/30886*c_1001_5^7 - 4724739/15443*c_1001_5^6 + 1631488/15443*c_1001_5^5 + 3721165/15443*c_1001_5^4 - 337075/30886*c_1001_5^3 - 940222/15443*c_1001_5^2 - 192513/30886*c_1001_5 - 5071/30886, c_0011_4 - 259136/15443*c_1001_5^11 - 498408/15443*c_1001_5^10 + 1137668/15443*c_1001_5^9 + 2455350/15443*c_1001_5^8 - 1595253/15443*c_1001_5^7 - 8868207/30886*c_1001_5^6 + 871469/30886*c_1001_5^5 + 6581829/30886*c_1001_5^4 + 939969/30886*c_1001_5^3 - 734728/15443*c_1001_5^2 - 204369/15443*c_1001_5 - 68505/30886, c_0101_0 + 168088/15443*c_1001_5^11 + 365852/15443*c_1001_5^10 - 666614/15443*c_1001_5^9 - 1810447/15443*c_1001_5^8 + 1257019/30886*c_1001_5^7 + 3263883/15443*c_1001_5^6 + 577043/15443*c_1001_5^5 - 2378005/15443*c_1001_5^4 - 2143905/30886*c_1001_5^3 + 481824/15443*c_1001_5^2 + 717199/30886*c_1001_5 + 79959/30886, c_0101_1 - c_1001_5, c_0101_2 + 143704/15443*c_1001_5^11 + 341044/15443*c_1001_5^10 - 543330/15443*c_1001_5^9 - 1698769/15443*c_1001_5^8 + 834569/30886*c_1001_5^7 + 6128579/30886*c_1001_5^6 + 1332149/30886*c_1001_5^5 - 4433409/30886*c_1001_5^4 - 977097/15443*c_1001_5^3 + 437464/15443*c_1001_5^2 + 554309/30886*c_1001_5 + 40826/15443, c_1001_5^12 + 5/2*c_1001_5^11 - 13/4*c_1001_5^10 - 97/8*c_1001_5^9 + 5/16*c_1001_5^8 + 21*c_1001_5^7 + 149/16*c_1001_5^6 - 221/16*c_1001_5^5 - 83/8*c_1001_5^4 + 25/16*c_1001_5^3 + 45/16*c_1001_5^2 + 11/16*c_1001_5 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB