Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 3347471114] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0358 geometric_solution 4.38831649 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2031 0132 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 0 1 -1 -1 0 1 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 0.562564684067 1.186212405762 0 3 2 0 0132 2031 3120 1302 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 1 0 -1 1 0 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 0.673606653233 0.688226346335 4 0 1 4 0132 0132 3120 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655232043968 0.275008460669 1 3 0 3 1302 2310 0132 3201 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 -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 -0.326393346767 0.688226346335 2 5 5 2 0132 0132 1023 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 1.133553114501 0.377604045216 6 4 4 6 0132 0132 1023 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 1.292421562683 0.167218703695 5 6 6 5 0132 1230 3012 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 1.498740120810 0.098710227794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0110_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0110_3']})} 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_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 40092449/544*c_0110_3^15 - 467550373/544*c_0110_3^14 + 2487955807/544*c_0110_3^13 - 455182829/32*c_0110_3^12 + 14701584453/544*c_0110_3^11 - 3637226649/136*c_0110_3^10 - 1621962057/272*c_0110_3^9 + 33509208001/544*c_0110_3^8 - 12350960769/136*c_0110_3^7 + 29740458251/544*c_0110_3^6 + 9600917665/544*c_0110_3^5 - 16203163929/272*c_0110_3^4 + 777327310/17*c_0110_3^3 - 9171367511/544*c_0110_3^2 + 829505419/272*c_0110_3 - 117755159/544, c_0011_0 - 1, c_0011_3 - 7163/8*c_0110_3^15 + 83679/8*c_0110_3^14 - 446173/8*c_0110_3^13 + 1391223/8*c_0110_3^12 - 2653055/8*c_0110_3^11 + 661915/2*c_0110_3^10 + 268047/4*c_0110_3^9 - 6007275/8*c_0110_3^8 + 2236213/2*c_0110_3^7 - 5470361/8*c_0110_3^6 - 1638139/8*c_0110_3^5 + 2920367/4*c_0110_3^4 - 569095*c_0110_3^3 + 1707701/8*c_0110_3^2 - 157793/4*c_0110_3 + 22981/8, c_0101_0 + 21103/16*c_0110_3^15 - 246459/16*c_0110_3^14 + 1313697/16*c_0110_3^13 - 4094691/16*c_0110_3^12 + 7804251/16*c_0110_3^11 - 1944755/4*c_0110_3^10 - 798687/8*c_0110_3^9 + 17686703/16*c_0110_3^8 - 6574723/4*c_0110_3^7 + 16049189/16*c_0110_3^6 + 4855231/16*c_0110_3^5 - 8590807/8*c_0110_3^4 + 835371*c_0110_3^3 - 5003801/16*c_0110_3^2 + 461429/8*c_0110_3 - 67065/16, c_0101_4 + 1/2*c_0110_3^15 - 19/4*c_0110_3^14 + 19*c_0110_3^13 - 143/4*c_0110_3^12 + 6*c_0110_3^11 + 505/4*c_0110_3^10 - 1145/4*c_0110_3^9 + 921/4*c_0110_3^8 + 163*c_0110_3^7 - 1133/2*c_0110_3^6 + 2011/4*c_0110_3^5 - 69/2*c_0110_3^4 - 335*c_0110_3^3 + 515/2*c_0110_3^2 - 377/4*c_0110_3 + 57/4, c_0101_5 - 359/4*c_0110_3^15 + 2127/2*c_0110_3^14 - 23055/4*c_0110_3^13 + 36683/2*c_0110_3^12 - 144081/4*c_0110_3^11 + 153201/4*c_0110_3^10 + 8013/4*c_0110_3^9 - 77227*c_0110_3^8 + 124480*c_0110_3^7 - 341405/4*c_0110_3^6 - 23817/2*c_0110_3^5 + 78282*c_0110_3^4 - 68633*c_0110_3^3 + 116013/4*c_0110_3^2 - 24511/4*c_0110_3 + 515, c_0101_6 - 5519/16*c_0110_3^15 + 65467/16*c_0110_3^14 - 355041/16*c_0110_3^13 + 1130003/16*c_0110_3^12 - 2217547/16*c_0110_3^11 + 587411/4*c_0110_3^10 + 74903/8*c_0110_3^9 - 4790943/16*c_0110_3^8 + 1917471/4*c_0110_3^7 - 5193829/16*c_0110_3^6 - 831583/16*c_0110_3^5 + 2435327/8*c_0110_3^4 - 262042*c_0110_3^3 + 1717545/16*c_0110_3^2 - 172973/8*c_0110_3 + 27369/16, c_0110_3^16 - 12*c_0110_3^15 + 66*c_0110_3^14 - 214*c_0110_3^13 + 432*c_0110_3^12 - 487*c_0110_3^11 + 42*c_0110_3^10 + 863*c_0110_3^9 - 1515*c_0110_3^8 + 1159*c_0110_3^7 - 12*c_0110_3^6 - 889*c_0110_3^5 + 894*c_0110_3^4 - 439*c_0110_3^3 + 119*c_0110_3^2 - 17*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB