Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 3768679473] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1356 geometric_solution 5.22449366 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 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 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 0.596136657747 0.115898690087 0 2 0 2 0132 0132 1023 1023 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 -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 0.718837430602 0.387389149340 3 1 4 1 0132 0132 0132 1023 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 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 1.698683874152 0.425043301554 2 4 6 5 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822462111340 0.902566742038 5 6 3 2 3201 0132 3012 0132 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 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 0.822462111340 0.902566742038 5 5 3 4 1230 3012 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 -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 0.489304690700 0.658090475507 6 4 6 3 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.244060315458 0.870775121219 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0011_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_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(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' : 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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 122359614105034/504971016291*c_0101_3^18 - 76357593078668/504971016291*c_0101_3^17 - 1135837331343511/504971016291*c_0101_3^16 + 1418448137345542/504971016291*c_0101_3^15 + 3391542220103440/504971016291*c_0101_3^14 - 5203886935355156/504971016291*c_0101_3^13 - 7623966762860450/504971016291*c_0101_3^12 + 12724282912359544/504971016291*c_0101_3^11 + 189382830407617/8015412957*c_0101_3^10 - 674604040574320/18702630233*c_0101_3^9 - 13061347674842239/504971016291*c_0101_3^8 + 949726425300739/56107890699*c_0101_3^7 + 15661246041419782/504971016291*c_0101_3^6 + 203276110409839/168323672097*c_0101_3^5 - 9550828470272416/504971016291*c_0101_3^4 - 405655654181716/504971016291*c_0101_3^3 - 89707977709363/504971016291*c_0101_3^2 + 1516459838880358/504971016291*c_0101_3 - 371062459233014/504971016291, c_0011_0 - 1, c_0011_4 - 163679036/22817361*c_0101_3^18 + 107222806/22817361*c_0101_3^17 + 1512032492/22817361*c_0101_3^16 - 1933464782/22817361*c_0101_3^15 - 4448676884/22817361*c_0101_3^14 + 6987357277/22817361*c_0101_3^13 + 9994501591/22817361*c_0101_3^12 - 17055260903/22817361*c_0101_3^11 - 738342871/1086541*c_0101_3^10 + 8074073817/7605787*c_0101_3^9 + 17069082764/22817361*c_0101_3^8 - 3757096593/7605787*c_0101_3^7 - 20930416295/22817361*c_0101_3^6 - 167443041/7605787*c_0101_3^5 + 12367164260/22817361*c_0101_3^4 + 710515976/22817361*c_0101_3^3 + 58962440/22817361*c_0101_3^2 - 1927481411/22817361*c_0101_3 + 478815007/22817361, c_0011_5 + 58089297487/8015412957*c_0101_3^18 - 35448364175/8015412957*c_0101_3^17 - 534471446122/8015412957*c_0101_3^16 + 663877459102/8015412957*c_0101_3^15 + 1575929878540/8015412957*c_0101_3^14 - 2400078277889/8015412957*c_0101_3^13 - 3542960797691/8015412957*c_0101_3^12 + 5849882193940/8015412957*c_0101_3^11 + 1830638369360/2671804319*c_0101_3^10 - 2745278379170/2671804319*c_0101_3^9 - 5964409610224/8015412957*c_0101_3^8 + 1209399280171/2671804319*c_0101_3^7 + 7131981605434/8015412957*c_0101_3^6 + 116112888135/2671804319*c_0101_3^5 - 4124359333405/8015412957*c_0101_3^4 - 234743724940/8015412957*c_0101_3^3 - 75903789904/8015412957*c_0101_3^2 + 654414006397/8015412957*c_0101_3 - 158248853675/8015412957, c_0101_0 + 4747417007/456161713*c_0101_3^18 - 3127498369/456161713*c_0101_3^17 - 43756137126/456161713*c_0101_3^16 + 56279177384/456161713*c_0101_3^15 + 128102861837/456161713*c_0101_3^14 - 202878290400/456161713*c_0101_3^13 - 286902520740/456161713*c_0101_3^12 + 494664450698/456161713*c_0101_3^11 + 63256832253/65165959*c_0101_3^10 - 701515527439/456161713*c_0101_3^9 - 484938619187/456161713*c_0101_3^8 + 326516408483/456161713*c_0101_3^7 + 600530796917/456161713*c_0101_3^6 + 9388619490/456161713*c_0101_3^5 - 357664933511/456161713*c_0101_3^4 - 17253029869/456161713*c_0101_3^3 - 1193548904/456161713*c_0101_3^2 + 56960093874/456161713*c_0101_3 - 14455212444/456161713, c_0101_1 + 1576910130/456161713*c_0101_3^18 - 1390251519/456161713*c_0101_3^17 - 14512085790/456161713*c_0101_3^16 + 21932652387/456161713*c_0101_3^15 + 40243052217/456161713*c_0101_3^14 - 78150552710/456161713*c_0101_3^13 - 86165072338/456161713*c_0101_3^12 + 190336768728/456161713*c_0101_3^11 + 17764653619/65165959*c_0101_3^10 - 277378976382/456161713*c_0101_3^9 - 131735947416/456161713*c_0101_3^8 + 157633190460/456161713*c_0101_3^7 + 198226043609/456161713*c_0101_3^6 - 37926524096/456161713*c_0101_3^5 - 137027430412/456161713*c_0101_3^4 + 10358917015/456161713*c_0101_3^3 + 6154046088/456161713*c_0101_3^2 + 21335808299/456161713*c_0101_3 - 6747467205/456161713, c_0101_2 - 4560758396/456161713*c_0101_3^18 + 2807603749/456161713*c_0101_3^17 + 42035137563/456161713*c_0101_3^16 - 52305058157/456161713*c_0101_3^15 - 124254087787/456161713*c_0101_3^14 + 189251084042/456161713*c_0101_3^13 + 280125523218/456161713*c_0101_3^12 - 461772662905/456161713*c_0101_3^11 - 62333282679/65165959*c_0101_3^10 + 651778906783/456161713*c_0101_3^9 + 478573156127/456161713*c_0101_3^8 - 290712108264/456161713*c_0101_3^7 - 573804005683/456161713*c_0101_3^6 - 26570880022/456161713*c_0101_3^5 + 333331827666/456161713*c_0101_3^4 + 21830165827/456161713*c_0101_3^3 + 3606435643/456161713*c_0101_3^2 - 52669190169/456161713*c_0101_3 + 12878302314/456161713, c_0101_3^19 - c_0101_3^18 - 9*c_0101_3^17 + 15*c_0101_3^16 + 23*c_0101_3^15 - 52*c_0101_3^14 - 46*c_0101_3^13 + 125*c_0101_3^12 + 58*c_0101_3^11 - 180*c_0101_3^10 - 52*c_0101_3^9 + 104*c_0101_3^8 + 103*c_0101_3^7 - 41*c_0101_3^6 - 76*c_0101_3^5 + 22*c_0101_3^4 + c_0101_3^3 + 12*c_0101_3^2 - 7*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB