Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 3650635068] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0616 geometric_solution 4.61962475 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 -1 0 1 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 0.842202475256 0.080329557133 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 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 0.767963380406 0.225273126835 2 0 2 0 2310 0132 3201 1023 0 0 0 0 0 1 0 -1 0 0 1 -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 0 0 0 0.873299195900 0.047882452073 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -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 0 0 0 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064698550264 0.919910967743 3 6 5 5 0132 0132 0213 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385718430553 0.740012687381 4 4 6 3 3201 0213 1023 0132 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 -1 0 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 0.385718430553 0.740012687381 6 4 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.446123171355 1.062629752631 ==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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], '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' : d['c_0011_5'], 'c_0011_4' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], '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_0011_5'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 25 Groebner basis: [ t - 59639/32*c_0101_6^24 - 15475/32*c_0101_6^23 + 591837/16*c_0101_6^22 + 345771/32*c_0101_6^21 - 2711765/8*c_0101_6^20 - 1896663/16*c_0101_6^19 + 30081287/16*c_0101_6^18 + 24613655/32*c_0101_6^17 - 223162231/32*c_0101_6^16 - 102695749/32*c_0101_6^15 + 72418549/4*c_0101_6^14 + 36223985/4*c_0101_6^13 - 1070658161/32*c_0101_6^12 - 565734615/32*c_0101_6^11 + 350611461/8*c_0101_6^10 + 762001209/32*c_0101_6^9 - 1268237781/32*c_0101_6^8 - 686295971/32*c_0101_6^7 + 373751709/16*c_0101_6^6 + 382908859/32*c_0101_6^5 - 256196967/32*c_0101_6^4 - 27714857/8*c_0101_6^3 + 5008105/4*c_0101_6^2 + 298684*c_0101_6 - 52850, c_0011_0 - 1, c_0011_5 - 1/4*c_0101_6^23 + 1/4*c_0101_6^22 + 9/2*c_0101_6^21 - 17/4*c_0101_6^20 - 75/2*c_0101_6^19 + 32*c_0101_6^18 + 381/2*c_0101_6^17 - 575/4*c_0101_6^16 - 2599/4*c_0101_6^15 + 1717/4*c_0101_6^14 + 1551*c_0101_6^13 - 1781/2*c_0101_6^12 - 10495/4*c_0101_6^11 + 5193/4*c_0101_6^10 + 3114*c_0101_6^9 - 5251/4*c_0101_6^8 - 10001/4*c_0101_6^7 + 3535/4*c_0101_6^6 + 2509/2*c_0101_6^5 - 1453/4*c_0101_6^4 - 1315/4*c_0101_6^3 + 75*c_0101_6^2 + 51/2*c_0101_6 - 4, c_0101_0 + 3*c_0101_6^24 - 13/4*c_0101_6^23 - 55*c_0101_6^22 + 227/4*c_0101_6^21 + 1867/4*c_0101_6^20 - 1765/4*c_0101_6^19 - 4833/2*c_0101_6^18 + 2052*c_0101_6^17 + 33655/4*c_0101_6^16 - 12717/2*c_0101_6^15 - 41079/2*c_0101_6^14 + 54923/4*c_0101_6^13 + 35606*c_0101_6^12 - 83687/4*c_0101_6^11 - 86799/2*c_0101_6^10 + 88913/4*c_0101_6^9 + 143447/4*c_0101_6^8 - 31663/2*c_0101_6^7 - 37047/2*c_0101_6^6 + 27783/4*c_0101_6^5 + 19815/4*c_0101_6^4 - 3099/2*c_0101_6^3 - 1419/4*c_0101_6^2 + 92*c_0101_6 - 5, c_0101_1 + 3*c_0101_6^24 + 155/8*c_0101_6^23 - 621/8*c_0101_6^22 - 1511/4*c_0101_6^21 + 7029/8*c_0101_6^20 + 3412*c_0101_6^19 - 22979/4*c_0101_6^18 - 75003/4*c_0101_6^17 + 195337/8*c_0101_6^16 + 552971/8*c_0101_6^15 - 572939/8*c_0101_6^14 - 356497/2*c_0101_6^13 + 297755/2*c_0101_6^12 + 2607165/8*c_0101_6^11 - 1760773/8*c_0101_6^10 - 837129/2*c_0101_6^9 + 1818311/8*c_0101_6^8 + 2915473/8*c_0101_6^7 - 1253749/8*c_0101_6^6 - 794691/4*c_0101_6^5 + 526509/8*c_0101_6^4 + 452135/8*c_0101_6^3 - 27477/2*c_0101_6^2 - 4656*c_0101_6 + 726, c_0101_2 - 4023/16*c_0101_6^24 + 3665/16*c_0101_6^23 + 37525/8*c_0101_6^22 - 63789/16*c_0101_6^21 - 40483*c_0101_6^20 + 244685/8*c_0101_6^19 + 1703071/8*c_0101_6^18 - 2224437/16*c_0101_6^17 - 12035047/16*c_0101_6^16 + 6676555/16*c_0101_6^15 + 3725077/2*c_0101_6^14 - 863585*c_0101_6^13 - 52408001/16*c_0101_6^12 + 19888001/16*c_0101_6^11 + 4054690*c_0101_6^10 - 19536783/16*c_0101_6^9 - 54620621/16*c_0101_6^8 + 12428341/16*c_0101_6^7 + 14507681/8*c_0101_6^6 - 4576805/16*c_0101_6^5 - 8252859/16*c_0101_6^4 + 93211/2*c_0101_6^3 + 199553/4*c_0101_6^2 - 907*c_0101_6 - 727, c_0101_3 + c_0101_6^2 - 1, c_0101_6^25 - c_0101_6^24 - 20*c_0101_6^23 + 19*c_0101_6^22 + 186*c_0101_6^21 - 162*c_0101_6^20 - 1062*c_0101_6^19 + 831*c_0101_6^18 + 4123*c_0101_6^17 - 2867*c_0101_6^16 - 11402*c_0101_6^15 + 6996*c_0101_6^14 + 22903*c_0101_6^13 - 12317*c_0101_6^12 - 33446*c_0101_6^11 + 15637*c_0101_6^10 + 34913*c_0101_6^9 - 14037*c_0101_6^8 - 25020*c_0101_6^7 + 8523*c_0101_6^6 + 11351*c_0101_6^5 - 3206*c_0101_6^4 - 2736*c_0101_6^3 + 616*c_0101_6^2 + 208*c_0101_6 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB