Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2867541651] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0233 geometric_solution 4.20806687 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.882651953955 0.780256622890 3 2 2 0 0132 3012 1230 0132 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 -1 1 0 0 -1 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 1.153439904300 0.710575909245 1 3 0 1 1230 3201 0132 3012 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 1 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 1.153439904300 0.710575909245 1 4 2 4 0132 0132 2310 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 1.117726132329 0.447261703482 5 3 5 3 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 0.815829539168 0.209938314723 4 6 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 0.779052173159 0.087465084332 6 5 6 5 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 0.673635822425 0.041602241896 ==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' : 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' : 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_1']), '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' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 316010270/15447817*c_0110_6^10 + 248253760/15447817*c_0110_6^9 - 1324362784/15447817*c_0110_6^8 - 4772920750/15447817*c_0110_6^7 - 21701655090/15447817*c_0110_6^6 - 4854977518/1404347*c_0110_6^5 - 325648497/73913*c_0110_6^4 - 4909470638/1404347*c_0110_6^3 - 377848428/200621*c_0110_6^2 - 9399339256/15447817*c_0110_6 - 1132126393/15447817, c_0011_0 - 1, c_0011_1 + 19663/200621*c_0110_6^10 + 61436/200621*c_0110_6^9 - 74284/200621*c_0110_6^8 - 470992/200621*c_0110_6^7 - 1971433/200621*c_0110_6^6 - 6159366/200621*c_0110_6^5 - 551852/10559*c_0110_6^4 - 10549120/200621*c_0110_6^3 - 6651092/200621*c_0110_6^2 - 2738649/200621*c_0110_6 - 504061/200621, c_0101_0 + 256884/200621*c_0110_6^10 + 185555/200621*c_0110_6^9 - 1125097/200621*c_0110_6^8 - 3778680/200621*c_0110_6^7 - 17282566/200621*c_0110_6^6 - 41961057/200621*c_0110_6^5 - 2671671/10559*c_0110_6^4 - 37679229/200621*c_0110_6^3 - 18957346/200621*c_0110_6^2 - 5312669/200621*c_0110_6 - 463276/200621, c_0101_1 - 118830/200621*c_0110_6^10 - 133457/200621*c_0110_6^9 + 505488/200621*c_0110_6^8 + 1949968/200621*c_0110_6^7 + 8607850/200621*c_0110_6^6 + 22427898/200621*c_0110_6^5 + 1589105/10559*c_0110_6^4 + 24863786/200621*c_0110_6^3 + 14496830/200621*c_0110_6^2 + 5262300/200621*c_0110_6 + 838621/200621, c_0101_4 + 133457/200621*c_0110_6^10 + 103289/200621*c_0110_6^9 - 554176/200621*c_0110_6^8 - 2002058/200621*c_0110_6^7 - 9171028/200621*c_0110_6^6 - 22556903/200621*c_0110_6^5 - 1521799/10559*c_0110_6^4 - 23675056/200621*c_0110_6^3 - 13379349/200621*c_0110_6^2 - 4593170/200621*c_0110_6 - 719791/200621, c_0101_5 - 143782/200621*c_0110_6^10 - 83626/200621*c_0110_6^9 + 637249/200621*c_0110_6^8 + 2009901/200621*c_0110_6^7 + 9435593/200621*c_0110_6^6 + 22220705/200621*c_0110_6^5 + 1352802/10559*c_0110_6^4 + 18672311/200621*c_0110_6^3 + 9195874/200621*c_0110_6^2 + 2662453/200621*c_0110_6 + 226055/200621, c_0110_6^11 + c_0110_6^10 - 4*c_0110_6^9 - 16*c_0110_6^8 - 72*c_0110_6^7 - 184*c_0110_6^6 - 253*c_0110_6^5 - 220*c_0110_6^4 - 132*c_0110_6^3 - 52*c_0110_6^2 - 11*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB