Magma V2.19-8 Tue Aug 20 2013 23:48:55 on localhost [Seed = 408842887] Type ? for help. Type -D to quit. Loading file "L12n1149__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1149 geometric_solution 11.02250880 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 -1 1 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 8 -7 -1 7 0 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621665044840 0.800129117795 0 5 7 6 0132 0132 0132 0132 1 1 0 0 0 0 0 0 1 0 -1 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 -7 0 7 0 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527722438181 0.195986234883 7 0 8 5 1023 0132 0132 1023 1 1 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 -8 0 8 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 0.905997439003 0.761636731985 6 9 8 0 0132 0132 0321 0132 1 1 0 1 0 1 0 -1 1 0 -1 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 -7 0 7 -8 0 8 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733898092266 0.924111887156 10 5 0 6 0132 0213 0132 0213 1 1 1 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 7 -7 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198057686838 0.812529007746 9 1 4 2 2031 0132 0213 1023 1 1 0 0 0 0 0 0 0 0 -1 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 1 -1 0 0 8 -8 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905997439003 0.761636731985 3 8 1 4 0132 0132 0132 0213 1 1 1 0 0 0 0 0 -1 0 0 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 0 0 0 8 0 0 -8 1 -8 0 7 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.198057686838 0.812529007746 10 2 9 1 1302 1023 2031 0132 1 1 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 0 0 0 0 7 -7 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905997439003 0.761636731985 11 6 3 2 0132 0132 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 -1 1 3 -2 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615309727911 0.623432626600 11 3 5 7 2310 0132 1302 1302 1 0 1 0 0 -1 0 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 7 0 -7 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353284820685 0.543668242860 4 7 11 11 0132 2031 0132 3201 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530067765823 0.947954570550 8 10 9 10 0132 2310 3201 0132 0 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550633780593 0.803630760070 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : 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_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_2, c_0110_5, c_1001_2, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 21238687408088438893/906958814378624*c_1001_8^7 + 24594663892550264075/7255670515028992*c_1001_8^6 - 436819213092443904977/29022682060115968*c_1001_8^5 - 17648083229175885749/14511341030057984*c_1001_8^4 - 5782760666705846879/3627835257514496*c_1001_8^3 + 41244872339569774373/3627835257514496*c_1001_8^2 + 11272978901486938817/1813917628757248*c_1001_8 + 2655898537755825253/906958814378624, c_0011_0 - 1, c_0011_10 + 15937422265237/1012230819619*c_1001_8^7 - 135770406587587/8097846556952*c_1001_8^6 + 771873623130889/32391386227808*c_1001_8^5 - 167082187223149/16195693113904*c_1001_8^4 + 20184795276305/4048923278476*c_1001_8^3 - 12220708106129/4048923278476*c_1001_8^2 + 1120285145735/1012230819619*c_1001_8 - 463286339047/1012230819619, c_0011_11 + 6551716774746/1012230819619*c_1001_8^7 - 81808344310563/4048923278476*c_1001_8^6 + 233829658564741/16195693113904*c_1001_8^5 - 344336267937341/16195693113904*c_1001_8^4 - 2117012205687/8097846556952*c_1001_8^3 - 9671990349782/1012230819619*c_1001_8^2 + 512051270331/2024461639238*c_1001_8 - 2523030672311/1012230819619, c_0101_0 - 1, c_0101_1 - 6551716774746/1012230819619*c_1001_8^7 + 81808344310563/4048923278476*c_1001_8^6 - 233829658564741/16195693113904*c_1001_8^5 + 344336267937341/16195693113904*c_1001_8^4 + 2117012205687/8097846556952*c_1001_8^3 + 9671990349782/1012230819619*c_1001_8^2 - 512051270331/2024461639238*c_1001_8 + 2523030672311/1012230819619, c_0101_10 - 22960038071839/1012230819619*c_1001_8^7 + 35152939137561/8097846556952*c_1001_8^6 - 848125453536931/32391386227808*c_1001_8^5 - 56548889536825/8097846556952*c_1001_8^4 - 47154570362313/4048923278476*c_1001_8^3 - 678227890517/1012230819619*c_1001_8^2 - 2042141758534/1012230819619*c_1001_8 - 519755792304/1012230819619, c_0101_11 + 15937422265237/1012230819619*c_1001_8^7 - 135770406587587/8097846556952*c_1001_8^6 + 771873623130889/32391386227808*c_1001_8^5 - 167082187223149/16195693113904*c_1001_8^4 + 20184795276305/4048923278476*c_1001_8^3 - 12220708106129/4048923278476*c_1001_8^2 + 1120285145735/1012230819619*c_1001_8 - 463286339047/1012230819619, c_0110_2 + 51502746579878/1012230819619*c_1001_8^7 + 154627752393955/4048923278476*c_1001_8^6 + 790293622437787/16195693113904*c_1001_8^5 + 1171919255708725/16195693113904*c_1001_8^4 + 330603971954673/8097846556952*c_1001_8^3 + 107450282387835/4048923278476*c_1001_8^2 + 6657237056273/1012230819619*c_1001_8 + 4605239864349/1012230819619, c_0110_5 + 51502746579878/1012230819619*c_1001_8^7 + 154627752393955/4048923278476*c_1001_8^6 + 790293622437787/16195693113904*c_1001_8^5 + 1171919255708725/16195693113904*c_1001_8^4 + 330603971954673/8097846556952*c_1001_8^3 + 107450282387835/4048923278476*c_1001_8^2 + 6657237056273/1012230819619*c_1001_8 + 4605239864349/1012230819619, c_1001_2 - 3697632492620/1012230819619*c_1001_8^7 + 30601740446673/2024461639238*c_1001_8^6 - 44260563034289/8097846556952*c_1001_8^5 + 224760501011775/16195693113904*c_1001_8^4 + 5068193599606/1012230819619*c_1001_8^3 + 26854087554013/4048923278476*c_1001_8^2 + 1674419536316/1012230819619*c_1001_8 + 1199554814983/1012230819619, c_1001_3 - 19527444101308/1012230819619*c_1001_8^7 - 61203248655279/2024461639238*c_1001_8^6 - 107925229550927/8097846556952*c_1001_8^5 - 364443411809123/8097846556952*c_1001_8^4 - 145980186716717/8097846556952*c_1001_8^3 - 67300379639373/4048923278476*c_1001_8^2 - 2160342669921/1012230819619*c_1001_8 - 2925670903668/1012230819619, c_1001_8^8 + 449/968*c_1001_8^7 + 471/352*c_1001_8^6 + 1959/1936*c_1001_8^5 + 265/242*c_1001_8^4 + 227/484*c_1001_8^3 + 69/242*c_1001_8^2 + 9/121*c_1001_8 + 4/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB