Magma V2.19-8 Tue Aug 20 2013 17:58:20 on localhost [Seed = 4240263328] Type ? for help. Type -D to quit. Loading file "10^2_90__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_90 geometric_solution 12.29267017 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3120 0132 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 1 -1 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308682891777 1.600076180909 0 3 0 4 0132 1023 3120 0132 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 4 -4 0 0 -1 1 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308682891777 1.600076180909 5 0 6 3 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.109285333432 0.535067412430 1 5 0 2 1023 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.534209810957 0.462463575526 7 5 1 6 0132 3201 0132 1302 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 0 4 -4 1 0 -1 0 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605906622976 0.513086549841 2 3 4 8 0132 0132 2310 0132 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 1 -1 0 0 0 -3 3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496595383605 0.840103972989 7 8 4 2 3201 0132 2031 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130155617143 0.763820973264 4 9 10 6 0132 0132 0132 2310 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 1 0 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369807430130 0.984400275039 11 6 5 12 0132 0132 0132 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 3 0 -3 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 0.369807430130 0.984400275039 12 7 11 12 3201 0132 2031 1230 0 1 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 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 12 11 11 7 1302 1230 2310 0132 0 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 0 0 0 0 1 -1 0 0 0 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 8 10 10 9 0132 3201 3012 1302 1 0 0 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 0 0 0 0 -1 0 1 -3 0 -1 4 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 9 10 8 9 3012 2031 0132 2310 0 0 1 0 0 0 0 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 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 0.527801614307 0.942627450396 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_2'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_11'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_9']), 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0101_9, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 9485492561085098389/267216419039428000*c_1001_5^15 + 135005626815489959/1336082095197140*c_1001_5^14 - 537445184743532121/1303494727021600*c_1001_5^13 + 77885876889681128207/66804104759857000*c_1001_5^12 - 112852026971439341753/53443283807885600*c_1001_5^11 + 411378237883639473657/133608209519714000*c_1001_5^10 - 23953203968044534017/6517473635108000*c_1001_5^9 + 99791647587304810507/26721641903942800*c_1001_5^8 - 934813626811515660639/267216419039428000*c_1001_5^7 + 99138159798529796669/33402052379928500*c_1001_5^6 - 656416169765224229927/267216419039428000*c_1001_5^5 + 1008928641356572701/534432838078856*c_1001_5^4 - 59379168472818524307/53443283807885600*c_1001_5^3 + 14321213306974686703/26721641903942800*c_1001_5^2 - 12263792315224198303/53443283807885600*c_1001_5 + 7559052342154593437/133608209519714000, c_0011_0 - 1, c_0011_10 - 2676947/25998736*c_1001_5^15 + 5703471/25998736*c_1001_5^14 - 32343003/25998736*c_1001_5^13 + 78990817/25998736*c_1001_5^12 - 166921049/25998736*c_1001_5^11 + 288402125/25998736*c_1001_5^10 - 402994097/25998736*c_1001_5^9 + 528437385/25998736*c_1001_5^8 - 530908641/25998736*c_1001_5^7 + 520071109/25998736*c_1001_5^6 - 448791481/25998736*c_1001_5^5 + 347305183/25998736*c_1001_5^4 - 302426523/25998736*c_1001_5^3 + 182671495/25998736*c_1001_5^2 - 116766179/25998736*c_1001_5 + 43511047/25998736, c_0011_11 + 1647895249/8592582248*c_1001_5^15 - 30940349039/68740657984*c_1001_5^14 + 162639274453/68740657984*c_1001_5^13 - 25712626305/4296291124*c_1001_5^12 + 426607304225/34370328992*c_1001_5^11 - 1434593764523/68740657984*c_1001_5^10 + 1916570641869/68740657984*c_1001_5^9 - 1139717222529/34370328992*c_1001_5^8 + 569505580685/17185164496*c_1001_5^7 - 2052062409281/68740657984*c_1001_5^6 + 1690348699795/68740657984*c_1001_5^5 - 306744094303/17185164496*c_1001_5^4 + 466538435197/34370328992*c_1001_5^3 - 524861642469/68740657984*c_1001_5^2 + 313870473147/68740657984*c_1001_5 - 44877048901/34370328992, c_0011_4 + 1647895249/8592582248*c_1001_5^15 - 30940349039/68740657984*c_1001_5^14 + 162639274453/68740657984*c_1001_5^13 - 25712626305/4296291124*c_1001_5^12 + 426607304225/34370328992*c_1001_5^11 - 1434593764523/68740657984*c_1001_5^10 + 1916570641869/68740657984*c_1001_5^9 - 1139717222529/34370328992*c_1001_5^8 + 569505580685/17185164496*c_1001_5^7 - 2052062409281/68740657984*c_1001_5^6 + 1690348699795/68740657984*c_1001_5^5 - 306744094303/17185164496*c_1001_5^4 + 466538435197/34370328992*c_1001_5^3 - 524861642469/68740657984*c_1001_5^2 + 313870473147/68740657984*c_1001_5 - 44877048901/34370328992, c_0101_0 - 1614551393/137481315968*c_1001_5^15 + 7686043979/137481315968*c_1001_5^14 - 64835171043/137481315968*c_1001_5^13 + 157789243983/137481315968*c_1001_5^12 - 595195315131/137481315968*c_1001_5^11 + 1222752962189/137481315968*c_1001_5^10 - 2074309347665/137481315968*c_1001_5^9 + 2906008823049/137481315968*c_1001_5^8 - 3133818570755/137481315968*c_1001_5^7 + 3169074405481/137481315968*c_1001_5^6 - 2699887657593/137481315968*c_1001_5^5 + 2152299621893/137481315968*c_1001_5^4 - 1763445076009/137481315968*c_1001_5^3 + 1068270418279/137481315968*c_1001_5^2 - 608631778123/137481315968*c_1001_5 + 224217254923/137481315968, c_0101_1 + 13095931017/68740657984*c_1001_5^15 - 27997188511/68740657984*c_1001_5^14 + 2423008326/1074072781*c_1001_5^13 - 23496839063/4296291124*c_1001_5^12 + 765268865857/68740657984*c_1001_5^11 - 1263596297407/68740657984*c_1001_5^10 + 826662342465/34370328992*c_1001_5^9 - 987117307125/34370328992*c_1001_5^8 + 1985753529151/68740657984*c_1001_5^7 - 1847834192041/68740657984*c_1001_5^6 + 397733911467/17185164496*c_1001_5^5 - 299636388339/17185164496*c_1001_5^4 + 865871837031/68740657984*c_1001_5^3 - 502214150185/68740657984*c_1001_5^2 + 127323811637/34370328992*c_1001_5 - 57481215081/34370328992, c_0101_11 - 23941479991/68740657984*c_1001_5^15 + 58727075543/68740657984*c_1001_5^14 - 303430957459/68740657984*c_1001_5^13 + 779221238027/68740657984*c_1001_5^12 - 1623905716981/68740657984*c_1001_5^11 + 2770150122733/68740657984*c_1001_5^10 - 3586204367081/68740657984*c_1001_5^9 + 4226365734065/68740657984*c_1001_5^8 - 4104498464949/68740657984*c_1001_5^7 + 3651062994037/68740657984*c_1001_5^6 - 3121413666041/68740657984*c_1001_5^5 + 2287116238609/68740657984*c_1001_5^4 - 1800294968567/68740657984*c_1001_5^3 + 1021611912223/68740657984*c_1001_5^2 - 538614400931/68740657984*c_1001_5 + 172867274027/68740657984, c_0101_2 - 4238949377/68740657984*c_1001_5^15 + 190879893/2148145562*c_1001_5^14 - 2695022971/4296291124*c_1001_5^13 + 84959270939/68740657984*c_1001_5^12 - 154793769665/68740657984*c_1001_5^11 + 108185656287/34370328992*c_1001_5^10 - 108911381067/34370328992*c_1001_5^9 + 228466192031/68740657984*c_1001_5^8 - 183042494903/68740657984*c_1001_5^7 + 45512984493/17185164496*c_1001_5^6 - 46902093957/17185164496*c_1001_5^5 + 161655058149/68740657984*c_1001_5^4 - 142508607575/68740657984*c_1001_5^3 - 513451189/34370328992*c_1001_5^2 - 6991060695/34370328992*c_1001_5 - 31467623551/68740657984, c_0101_5 - 422136169/2148145562*c_1001_5^15 + 26503954487/34370328992*c_1001_5^14 - 204702805711/68740657984*c_1001_5^13 + 638626602885/68740657984*c_1001_5^12 - 682377420263/34370328992*c_1001_5^11 + 575689722159/17185164496*c_1001_5^10 - 3156162577703/68740657984*c_1001_5^9 + 3560139334053/68740657984*c_1001_5^8 - 888486180721/17185164496*c_1001_5^7 + 1598342710179/34370328992*c_1001_5^6 - 2670841933401/68740657984*c_1001_5^5 + 2169645685331/68740657984*c_1001_5^4 - 751435688363/34370328992*c_1001_5^3 + 105174291059/8592582248*c_1001_5^2 - 364207392929/68740657984*c_1001_5 + 56286063539/68740657984, c_0101_7 + 4238949377/68740657984*c_1001_5^15 - 190879893/2148145562*c_1001_5^14 + 2695022971/4296291124*c_1001_5^13 - 84959270939/68740657984*c_1001_5^12 + 154793769665/68740657984*c_1001_5^11 - 108185656287/34370328992*c_1001_5^10 + 108911381067/34370328992*c_1001_5^9 - 228466192031/68740657984*c_1001_5^8 + 183042494903/68740657984*c_1001_5^7 - 45512984493/17185164496*c_1001_5^6 + 46902093957/17185164496*c_1001_5^5 - 161655058149/68740657984*c_1001_5^4 + 142508607575/68740657984*c_1001_5^3 + 513451189/34370328992*c_1001_5^2 + 6991060695/34370328992*c_1001_5 + 31467623551/68740657984, c_0101_9 - 1, c_1001_2 - 1614551393/137481315968*c_1001_5^15 + 7686043979/137481315968*c_1001_5^14 - 64835171043/137481315968*c_1001_5^13 + 157789243983/137481315968*c_1001_5^12 - 595195315131/137481315968*c_1001_5^11 + 1222752962189/137481315968*c_1001_5^10 - 2074309347665/137481315968*c_1001_5^9 + 2906008823049/137481315968*c_1001_5^8 - 3133818570755/137481315968*c_1001_5^7 + 3169074405481/137481315968*c_1001_5^6 - 2699887657593/137481315968*c_1001_5^5 + 2152299621893/137481315968*c_1001_5^4 - 1763445076009/137481315968*c_1001_5^3 + 1068270418279/137481315968*c_1001_5^2 - 608631778123/137481315968*c_1001_5 + 224217254923/137481315968, c_1001_5^16 - 32/13*c_1001_5^15 + 160/13*c_1001_5^14 - 32*c_1001_5^13 + 844/13*c_1001_5^12 - 1408/13*c_1001_5^11 + 1856/13*c_1001_5^10 - 2176/13*c_1001_5^9 + 2198/13*c_1001_5^8 - 2016/13*c_1001_5^7 + 1760/13*c_1001_5^6 - 1376/13*c_1001_5^5 + 1020/13*c_1001_5^4 - 640/13*c_1001_5^3 + 320/13*c_1001_5^2 - 128/13*c_1001_5 + 37/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB