Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 1966401868] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s062 geometric_solution 3.60502918 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 -1 1 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 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 0.717764028351 0.038738923504 0 2 0 2 0132 0132 1023 1023 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 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 0.464999900398 0.133332256945 3 1 3 1 0132 0132 2310 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 -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 -1.796799410801 3.601956052829 2 2 5 4 0132 3201 0132 0132 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 -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 0.010703121568 0.510356368824 5 5 3 5 1230 3012 0132 1302 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 -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 1.000015357299 1.021176704724 4 4 4 3 1230 3012 2031 0132 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 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 1.000015357299 1.021176704724 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], '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_4'], 'c_0011_4' : 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_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], '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_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 788166707132598687/18484625413450861*c_0101_5^13 - 2771322493282931444/18484625413450861*c_0101_5^12 + 15938769275438373015/18484625413450861*c_0101_5^11 + 18079417229114784226/2640660773350123*c_0101_5^10 + 461175276405971272742/18484625413450861*c_0101_5^9 - 54270308957577185542/2640660773350123*c_0101_5^8 + 251605294742400598870/18484625413450861*c_0101_5^7 + 172233059000360351100/18484625413450861*c_0101_5^6 - 306888221761207864306/18484625413450861*c_0101_5^5 + 88275941994590330842/18484625413450861*c_0101_5^4 + 23802570902050982626/18484625413450861*c_0101_5^3 - 38230340337865719081/18484625413450861*c_0101_5^2 + 12953848201411095604/18484625413450861*c_0101_5 - 906676944331034977/18484625413450861, c_0011_0 - 1, c_0011_4 + 11617711491000787/2640660773350123*c_0101_5^13 + 39265358090205085/2640660773350123*c_0101_5^12 - 240599788590339935/2640660773350123*c_0101_5^11 - 1833776265641916576/2640660773350123*c_0101_5^10 - 6541754823863608480/2640660773350123*c_0101_5^9 + 6542059953731011184/2640660773350123*c_0101_5^8 - 4413004179213529257/2640660773350123*c_0101_5^7 - 2050114510375193251/2640660773350123*c_0101_5^6 + 4860607766911955855/2640660773350123*c_0101_5^5 - 1873672143237620780/2640660773350123*c_0101_5^4 - 212307013386166984/2640660773350123*c_0101_5^3 + 600853789151116092/2640660773350123*c_0101_5^2 - 255186411158603434/2640660773350123*c_0101_5 + 32097277955581776/2640660773350123, c_0101_0 + 8891709825449129/2640660773350123*c_0101_5^13 + 30361577023878138/2640660773350123*c_0101_5^12 - 183083407049088704/2640660773350123*c_0101_5^11 - 1409956184200171739/2640660773350123*c_0101_5^10 - 5056300530735290013/2640660773350123*c_0101_5^9 + 4832431923371096195/2640660773350123*c_0101_5^8 - 3195934207593877481/2640660773350123*c_0101_5^7 - 1620843483666871923/2640660773350123*c_0101_5^6 + 3599396957719050461/2640660773350123*c_0101_5^5 - 1254742036678005425/2640660773350123*c_0101_5^4 - 210455988602028753/2640660773350123*c_0101_5^3 + 427230300409793756/2640660773350123*c_0101_5^2 - 168921501393368378/2640660773350123*c_0101_5 + 16653820581034953/2640660773350123, c_0101_1 + 12036814489744970/2640660773350123*c_0101_5^13 + 39791578345448447/2640660773350123*c_0101_5^12 - 252935273422164050/2640660773350123*c_0101_5^11 - 1883859621013674436/2640660773350123*c_0101_5^10 - 6624560705504688495/2640660773350123*c_0101_5^9 + 7384813305037687801/2640660773350123*c_0101_5^8 - 4677994212168843463/2640660773350123*c_0101_5^7 - 2028733028740558156/2640660773350123*c_0101_5^6 + 5407833986986156624/2640660773350123*c_0101_5^5 - 2201728407683547711/2640660773350123*c_0101_5^4 - 248779851558274340/2640660773350123*c_0101_5^3 + 676114307619277353/2640660773350123*c_0101_5^2 - 305789781527234904/2640660773350123*c_0101_5 + 40323637641181972/2640660773350123, c_0101_2 + 2692903018290300/2640660773350123*c_0101_5^13 + 9107975926599707/2640660773350123*c_0101_5^12 - 55629390376414161/2640660773350123*c_0101_5^11 - 424769103510991481/2640660773350123*c_0101_5^10 - 1519705432148463966/2640660773350123*c_0101_5^9 + 1493660141914736037/2640660773350123*c_0101_5^8 - 1089814557395673614/2640660773350123*c_0101_5^7 - 427643709466528467/2640660773350123*c_0101_5^6 + 1086661137183462835/2640660773350123*c_0101_5^5 - 446499416955690433/2640660773350123*c_0101_5^4 - 14572895617662862/2640660773350123*c_0101_5^3 + 135696487426515748/2640660773350123*c_0101_5^2 - 59345979947031910/2640660773350123*c_0101_5 + 8828099850245210/2640660773350123, c_0101_5^14 + 3*c_0101_5^13 - 22*c_0101_5^12 - 150*c_0101_5^11 - 503*c_0101_5^10 + 778*c_0101_5^9 - 590*c_0101_5^8 - 36*c_0101_5^7 + 489*c_0101_5^6 - 320*c_0101_5^5 + 41*c_0101_5^4 + 60*c_0101_5^3 - 42*c_0101_5^2 + 11*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB