Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 4122241177] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3138 geometric_solution 6.29617997 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 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 -1 0 1 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 0.460218330556 0.695308649772 0 3 5 4 0132 0132 0132 0132 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 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 0.301715672103 0.803125469755 3 0 4 5 3201 0132 3201 0132 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 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 0.301715672103 0.803125469755 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170143784059 1.265085076026 2 6 1 6 2310 0132 0132 2310 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 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 0.598116229000 1.606454268179 5 5 2 1 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491834130846 0.871535721450 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 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 0 1 -1 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 0.429988690753 0.169031427628 ==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' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 2716698447769016/844255065744235*c_0101_2*c_0110_6^14 - 16786280572775104/844255065744235*c_0101_2*c_0110_6^13 - 24005821488474563/844255065744235*c_0101_2*c_0110_6^12 + 11401753771838607/844255065744235*c_0101_2*c_0110_6^11 + 27140290721927706/168851013148847*c_0101_2*c_0110_6^10 + 155428372317767631/844255065744235*c_0101_2*c_0110_6^9 - 166018152933126456/844255065744235*c_0101_2*c_0110_6^8 - 432200563054906509/844255065744235*c_0101_2*c_0110_6^7 - 60256844026068893/168851013148847*c_0101_2*c_0110_6^6 + 131387005589217857/844255065744235*c_0101_2*c_0110_6^5 + 368697397211408197/844255065744235*c_0101_2*c_0110_6^4 + 219428014755940912/844255065744235*c_0101_2*c_0110_6^3 + 21586498500173483/844255065744235*c_0101_2*c_0110_6^2 - 15430435309527447/844255065744235*c_0101_2*c_0110_6 + 12111793910978868/844255065744235*c_0101_2, c_0011_0 - 1, c_0011_4 - 17108729835092/168851013148847*c_0101_2*c_0110_6^14 + 116666970412399/168851013148847*c_0101_2*c_0110_6^13 + 76474162996295/168851013148847*c_0101_2*c_0110_6^12 - 118694764974237/168851013148847*c_0101_2*c_0110_6^11 - 793786181323831/168851013148847*c_0101_2*c_0110_6^10 - 466633132770936/168851013148847*c_0101_2*c_0110_6^9 + 1356368684062075/168851013148847*c_0101_2*c_0110_6^8 + 1927861616222132/168851013148847*c_0101_2*c_0110_6^7 + 649134419187069/168851013148847*c_0101_2*c_0110_6^6 - 1429614975558408/168851013148847*c_0101_2*c_0110_6^5 - 1483825731740052/168851013148847*c_0101_2*c_0110_6^4 - 374778116716835/168851013148847*c_0101_2*c_0110_6^3 + 420705454005057/168851013148847*c_0101_2*c_0110_6^2 - 97426774005908/168851013148847*c_0101_2*c_0110_6 - 153216906786649/168851013148847*c_0101_2, c_0011_5 - 66158561281512/168851013148847*c_0101_2*c_0110_6^14 + 412585474051270/168851013148847*c_0101_2*c_0110_6^13 + 550672244806840/168851013148847*c_0101_2*c_0110_6^12 - 238149777054117/168851013148847*c_0101_2*c_0110_6^11 - 3250710143274223/168851013148847*c_0101_2*c_0110_6^10 - 3687820385081931/168851013148847*c_0101_2*c_0110_6^9 + 3744468586501373/168851013148847*c_0101_2*c_0110_6^8 + 10084031770452634/168851013148847*c_0101_2*c_0110_6^7 + 7731025285331163/168851013148847*c_0101_2*c_0110_6^6 - 2331084916407378/168851013148847*c_0101_2*c_0110_6^5 - 8642041246886371/168851013148847*c_0101_2*c_0110_6^4 - 6260891852356400/168851013148847*c_0101_2*c_0110_6^3 - 1383147715378956/168851013148847*c_0101_2*c_0110_6^2 + 198916119820453/168851013148847*c_0101_2*c_0110_6 + 72634999206592/168851013148847*c_0101_2, c_0101_0 - 14014591401847/168851013148847*c_0110_6^14 + 94613135354625/168851013148847*c_0110_6^13 + 67368575468961/168851013148847*c_0110_6^12 - 78759040265861/168851013148847*c_0110_6^11 - 662543036345136/168851013148847*c_0110_6^10 - 449606002802199/168851013148847*c_0110_6^9 + 1014839915413692/168851013148847*c_0110_6^8 + 1694761568220535/168851013148847*c_0110_6^7 + 882135620835464/168851013148847*c_0110_6^6 - 1048266283853564/168851013148847*c_0110_6^5 - 1472964705473101/168851013148847*c_0110_6^4 - 831314970047265/168851013148847*c_0110_6^3 + 148752963511184/168851013148847*c_0110_6^2 + 287850460265312/168851013148847*c_0110_6 + 17108729835092/168851013148847, c_0101_1 + 18907986814357/168851013148847*c_0110_6^14 - 124075655943355/168851013148847*c_0110_6^13 - 112392713160334/168851013148847*c_0110_6^12 + 66768736890331/168851013148847*c_0110_6^11 + 932704950796624/168851013148847*c_0110_6^10 + 813855909659204/168851013148847*c_0110_6^9 - 1173129396268802/168851013148847*c_0110_6^8 - 2687380343579862/168851013148847*c_0110_6^7 - 1875734604927487/168851013148847*c_0110_6^6 + 1293553909325235/168851013148847*c_0110_6^5 + 2596073569797988/168851013148847*c_0110_6^4 + 1483027562159626/168851013148847*c_0110_6^3 - 117861077940477/168851013148847*c_0110_6^2 - 296363979676052/168851013148847*c_0110_6 - 88497887244576/168851013148847, c_0101_2^2 - 25587124191433/168851013148847*c_0110_6^14 + 153275651716619/168851013148847*c_0110_6^13 + 255413256245257/168851013148847*c_0110_6^12 - 62156897773590/168851013148847*c_0110_6^11 - 1290759797509558/168851013148847*c_0110_6^10 - 1700050989557471/168851013148847*c_0110_6^9 + 1238499474431793/168851013148847*c_0110_6^8 + 4294322317978364/168851013148847*c_0110_6^7 + 3632638494899375/168851013148847*c_0110_6^6 - 465252518543369/168851013148847*c_0110_6^5 - 3476592110394716/168851013148847*c_0110_6^4 - 2911460841705763/168851013148847*c_0110_6^3 - 995618595212615/168851013148847*c_0110_6^2 - 87664364691116/168851013148847*c_0110_6 - 135791308116027/168851013148847, c_0110_6^15 - 6*c_0110_6^14 - 10*c_0110_6^13 + 3*c_0110_6^12 + 51*c_0110_6^11 + 66*c_0110_6^10 - 53*c_0110_6^9 - 172*c_0110_6^8 - 137*c_0110_6^7 + 32*c_0110_6^6 + 148*c_0110_6^5 + 108*c_0110_6^4 + 24*c_0110_6^3 - 3*c_0110_6^2 + 2*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB