Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3120047515] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s370 geometric_solution 4.58893256 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 2310 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 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 0.587576138629 0.983744398837 0 3 4 3 0132 0213 0132 1230 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 -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 0.654697303394 0.722906700438 0 0 2 2 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.491192901046 0.151046111969 1 4 1 0 3012 1023 0213 0132 0 0 0 0 0 -1 1 0 0 0 0 0 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 1 -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 0 0 0.654697303394 0.722906700438 3 5 5 1 1023 0132 3201 0132 0 0 0 0 0 0 1 -1 1 0 -1 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 0.945611695609 0.415848584669 4 4 5 5 2310 0132 1230 3012 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 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 1.509826814053 0.382184217578 ==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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_4, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 140069438176776/15729894019093*c_0110_2^17 + 604564193981113/15729894019093*c_0110_2^16 - 899633780267554/15729894019093*c_0110_2^15 - 7030201844633998/15729894019093*c_0110_2^14 - 3993665385840641/15729894019093*c_0110_2^13 + 22278417405186525/15729894019093*c_0110_2^12 + 21113964683582817/15729894019093*c_0110_2^11 - 39224770259012021/15729894019093*c_0110_2^10 - 34902448567965756/15729894019093*c_0110_2^9 + 46116088243384404/15729894019093*c_0110_2^8 + 26402414994947730/15729894019093*c_0110_2^7 - 35711231548604295/15729894019093*c_0110_2^6 - 1761926157143204/15729894019093*c_0110_2^5 + 9768457012259524/15729894019093*c_0110_2^4 - 3737971072604173/15729894019093*c_0110_2^3 + 576121956918344/15729894019093*c_0110_2^2 + 915643725789121/15729894019093*c_0110_2 - 285512064055650/15729894019093, c_0011_0 - 1, c_0011_3 - 6058652015345/15729894019093*c_0110_2^17 - 33965688992728/15729894019093*c_0110_2^16 + 6375052223041/15729894019093*c_0110_2^15 + 357706129553207/15729894019093*c_0110_2^14 + 550417176892566/15729894019093*c_0110_2^13 - 787082140633223/15729894019093*c_0110_2^12 - 2106306689510322/15729894019093*c_0110_2^11 + 730884393030601/15729894019093*c_0110_2^10 + 3581779844066478/15729894019093*c_0110_2^9 - 575125931962429/15729894019093*c_0110_2^8 - 3457529052166133/15729894019093*c_0110_2^7 + 792671488503192/15729894019093*c_0110_2^6 + 1661364240194674/15729894019093*c_0110_2^5 - 826231565879816/15729894019093*c_0110_2^4 + 33524523522801/15729894019093*c_0110_2^3 + 192538671420242/15729894019093*c_0110_2^2 - 149780472451710/15729894019093*c_0110_2 + 17952394745832/15729894019093, c_0101_1 - 9731080931348/15729894019093*c_0110_2^17 - 42094163899719/15729894019093*c_0110_2^16 + 60832180801302/15729894019093*c_0110_2^15 + 483772004723771/15729894019093*c_0110_2^14 + 291357918098187/15729894019093*c_0110_2^13 - 1482265531929787/15729894019093*c_0110_2^12 - 1456288984508944/15729894019093*c_0110_2^11 + 2497281133319723/15729894019093*c_0110_2^10 + 2278499167265066/15729894019093*c_0110_2^9 - 2797135982493528/15729894019093*c_0110_2^8 - 1570202797481358/15729894019093*c_0110_2^7 + 2037000665146064/15729894019093*c_0110_2^6 - 56782759931001/15729894019093*c_0110_2^5 - 384522465536004/15729894019093*c_0110_2^4 + 234949235527657/15729894019093*c_0110_2^3 - 61346754248477/15729894019093*c_0110_2^2 - 24458169361583/15729894019093*c_0110_2 - 9671242003748/15729894019093, c_0101_4 - 5766676561875/15729894019093*c_0110_2^17 - 19549561934375/15729894019093*c_0110_2^16 + 61509718801825/15729894019093*c_0110_2^15 + 261301226891251/15729894019093*c_0110_2^14 - 112300330576272/15729894019093*c_0110_2^13 - 1139929266911332/15729894019093*c_0110_2^12 - 64995190457033/15729894019093*c_0110_2^11 + 2631004212611517/15729894019093*c_0110_2^10 + 162067103976596/15729894019093*c_0110_2^9 - 3567908095885212/15729894019093*c_0110_2^8 + 332067112668143/15729894019093*c_0110_2^7 + 2839725524486251/15729894019093*c_0110_2^6 - 1049935709624054/15729894019093*c_0110_2^5 - 723385363727526/15729894019093*c_0110_2^4 + 529999447921390/15729894019093*c_0110_2^3 - 121860097713452/15729894019093*c_0110_2^2 - 43190188773420/15729894019093*c_0110_2 + 33455505983928/15729894019093, c_0101_5 - 16214077592688/15729894019093*c_0110_2^17 - 77740644912626/15729894019093*c_0110_2^16 + 74783467365833/15729894019093*c_0110_2^15 + 878920004556132/15729894019093*c_0110_2^14 + 814635197076831/15729894019093*c_0110_2^13 - 2547572479331780/15729894019093*c_0110_2^12 - 3673084985222298/15729894019093*c_0110_2^11 + 4086591274325035/15729894019093*c_0110_2^10 + 6446970900885129/15729894019093*c_0110_2^9 - 4890854786520982/15729894019093*c_0110_2^8 - 5989313362377388/15729894019093*c_0110_2^7 + 4504105242389050/15729894019093*c_0110_2^6 + 2250084462766043/15729894019093*c_0110_2^5 - 2314928823195292/15729894019093*c_0110_2^4 + 343627281190772/15729894019093*c_0110_2^3 + 282437208805563/15729894019093*c_0110_2^2 - 285973104827724/15729894019093*c_0110_2 + 75507458336140/15729894019093, c_0110_2^18 + 4*c_0110_2^17 - 8*c_0110_2^16 - 49*c_0110_2^15 - 11*c_0110_2^14 + 178*c_0110_2^13 + 103*c_0110_2^12 - 361*c_0110_2^11 - 179*c_0110_2^10 + 471*c_0110_2^9 + 109*c_0110_2^8 - 390*c_0110_2^7 + 62*c_0110_2^6 + 127*c_0110_2^5 - 69*c_0110_2^4 + 7*c_0110_2^3 + 12*c_0110_2^2 - 7*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB