Magma V2.19-8 Tue Aug 20 2013 16:17:15 on localhost [Seed = 4038159406] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1496 geometric_solution 5.30531071 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754258770250 0.075024700041 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606382068293 0.212280473734 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 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 0 0 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 0.617165503146 1.846535517048 2 5 4 6 0132 0132 0213 0132 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 -1 0 1 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 0.339510468109 0.698216477607 6 3 5 2 3201 0213 3201 0132 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 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 0.339510468109 0.698216477607 4 3 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.436752930366 1.158339497371 6 6 3 4 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469997877235 0.559241431032 ==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' : negation(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' : negation(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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), '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' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 145220453/6400643*c_0101_5^16 + 214897085/6400643*c_0101_5^15 + 839691334/6400643*c_0101_5^14 + 2435298340/6400643*c_0101_5^13 - 738660080/6400643*c_0101_5^12 - 7610418074/6400643*c_0101_5^11 - 6719970045/6400643*c_0101_5^10 - 414976503/6400643*c_0101_5^9 + 7816941002/6400643*c_0101_5^8 + 12602012725/6400643*c_0101_5^7 + 7676376125/6400643*c_0101_5^6 - 1123918922/6400643*c_0101_5^5 - 5527841108/6400643*c_0101_5^4 - 6096230638/6400643*c_0101_5^3 - 3739287748/6400643*c_0101_5^2 - 1360550258/6400643*c_0101_5 - 417962931/6400643, c_0011_0 - 1, c_0011_4 - 37101630/6400643*c_0101_1*c_0101_5^16 - 8322076/6400643*c_0101_1*c_0101_5^15 + 240788902/6400643*c_0101_1*c_0101_5^14 + 1011707984/6400643*c_0101_1*c_0101_5^13 + 1287542261/6400643*c_0101_1*c_0101_5^12 - 667278748/6400643*c_0101_1*c_0101_5^11 - 3577693019/6400643*c_0101_1*c_0101_5^10 - 4939509754/6400643*c_0101_1*c_0101_5^9 - 3489427236/6400643*c_0101_1*c_0101_5^8 + 445893605/6400643*c_0101_1*c_0101_5^7 + 4226140172/6400643*c_0101_1*c_0101_5^6 + 5408352896/6400643*c_0101_1*c_0101_5^5 + 4411654356/6400643*c_0101_1*c_0101_5^4 + 2595357009/6400643*c_0101_1*c_0101_5^3 + 1063280020/6400643*c_0101_1*c_0101_5^2 + 317349923/6400643*c_0101_1*c_0101_5 + 52830042/6400643*c_0101_1, c_0011_6 + 9003846/6400643*c_0101_1*c_0101_5^16 - 20558688/6400643*c_0101_1*c_0101_5^15 - 54836250/6400643*c_0101_1*c_0101_5^14 - 100704335/6400643*c_0101_1*c_0101_5^13 + 246971360/6400643*c_0101_1*c_0101_5^12 + 735705636/6400643*c_0101_1*c_0101_5^11 + 251785819/6400643*c_0101_1*c_0101_5^10 - 729981391/6400643*c_0101_1*c_0101_5^9 - 1457612797/6400643*c_0101_1*c_0101_5^8 - 1402943731/6400643*c_0101_1*c_0101_5^7 - 247552924/6400643*c_0101_1*c_0101_5^6 + 989109710/6400643*c_0101_1*c_0101_5^5 + 1388778029/6400643*c_0101_1*c_0101_5^4 + 1148306857/6400643*c_0101_1*c_0101_5^3 + 625193615/6400643*c_0101_1*c_0101_5^2 + 213205678/6400643*c_0101_1*c_0101_5 + 57493071/6400643*c_0101_1, c_0101_0 - 644403/6400643*c_0101_1*c_0101_5^16 - 23156142/6400643*c_0101_1*c_0101_5^15 + 4323168/6400643*c_0101_1*c_0101_5^14 + 164341442/6400643*c_0101_1*c_0101_5^13 + 618872766/6400643*c_0101_1*c_0101_5^12 + 665921635/6400643*c_0101_1*c_0101_5^11 - 586090062/6400643*c_0101_1*c_0101_5^10 - 2182089554/6400643*c_0101_1*c_0101_5^9 - 2775886869/6400643*c_0101_1*c_0101_5^8 - 1663697853/6400643*c_0101_1*c_0101_5^7 + 718386126/6400643*c_0101_1*c_0101_5^6 + 2662885750/6400643*c_0101_1*c_0101_5^5 + 3010396770/6400643*c_0101_1*c_0101_5^4 + 2214085899/6400643*c_0101_1*c_0101_5^3 + 1123129490/6400643*c_0101_1*c_0101_5^2 + 368927282/6400643*c_0101_1*c_0101_5 + 86725436/6400643*c_0101_1, c_0101_1^2 - 43454382/6400643*c_0101_5^16 - 33753992/6400643*c_0101_5^15 + 278065701/6400643*c_0101_5^14 + 1339622609/6400643*c_0101_5^13 + 2157850550/6400643*c_0101_5^12 + 19673995/6400643*c_0101_5^11 - 4663730145/6400643*c_0101_5^10 - 8134721594/6400643*c_0101_5^9 - 7254866961/6400643*c_0101_5^8 - 1503447479/6400643*c_0101_5^7 + 5561966921/6400643*c_0101_5^6 + 9266171536/6400643*c_0101_5^5 + 8602532928/6400643*c_0101_5^4 + 5573615867/6400643*c_0101_5^3 + 2534888580/6400643*c_0101_5^2 + 787047997/6400643*c_0101_5 + 140304021/6400643, c_0101_4 - 5770497/6400643*c_0101_5^16 - 6034287/6400643*c_0101_5^15 + 41160336/6400643*c_0101_5^14 + 185290400/6400643*c_0101_5^13 + 301150276/6400643*c_0101_5^12 - 46549309/6400643*c_0101_5^11 - 721965107/6400643*c_0101_5^10 - 1080218042/6400643*c_0101_5^9 - 834770807/6400643*c_0101_5^8 - 1558361/6400643*c_0101_5^7 + 877723570/6400643*c_0101_5^6 + 1202875086/6400643*c_0101_5^5 + 973750701/6400643*c_0101_5^4 + 569019226/6400643*c_0101_5^3 + 228543723/6400643*c_0101_5^2 + 62859213/6400643*c_0101_5 + 15241617/6400643, c_0101_5^17 - 6*c_0101_5^15 - 26*c_0101_5^14 - 32*c_0101_5^13 + 13*c_0101_5^12 + 81*c_0101_5^11 + 128*c_0101_5^10 + 107*c_0101_5^9 + 14*c_0101_5^8 - 88*c_0101_5^7 - 141*c_0101_5^6 - 136*c_0101_5^5 - 93*c_0101_5^4 - 48*c_0101_5^3 - 19*c_0101_5^2 - 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB