Magma V2.19-8 Tue Aug 20 2013 23:40:06 on localhost [Seed = 3903753282] Type ? for help. Type -D to quit. Loading file "K14n407__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n407 geometric_solution 10.39521545 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 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 1 0 -1 13 0 0 -13 13 -13 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035326445263 0.901179851706 0 5 6 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 -13 0 0 13 -1 0 0 1 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844774066218 1.088111072053 1 0 8 7 3201 0132 0132 0132 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 0 1 -1 0 0 1 0 1 0 -1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704933823520 0.776427428232 8 9 8 0 0213 0132 0321 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 0.553544716463 0.517111040357 9 10 0 7 3201 0132 0132 2103 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 1 -1 -12 0 13 -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 0.128452469457 0.610140864139 9 1 10 6 0213 0132 3201 3120 0 0 0 0 0 0 0 0 -1 0 0 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 12 0 0 -12 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147958892541 0.565971225217 5 7 9 1 3120 3120 3120 0132 0 0 0 0 0 0 0 0 -1 0 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 12 0 -12 0 12 1 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647733956294 0.578847234136 10 6 2 4 2103 3120 0132 2103 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 -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 0.624241419615 0.705456826486 3 10 3 2 0213 0321 0321 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 0.465111551520 0.785785549483 5 3 6 4 0213 0132 3120 2310 0 0 0 0 0 0 0 0 1 0 -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 -12 0 12 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102448413227 1.058877990327 5 4 7 8 2310 0132 2103 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782212979453 1.561292005692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : 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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0110_4']), 'c_1100_10' : negation(d['c_0110_7']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_4']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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_0110_10' : d['c_0011_3'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0101_0']), '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_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_0110_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 13788923/2525952*c_1001_2^12 - 8837473/841984*c_1001_2^11 + 4057535/210496*c_1001_2^10 + 89811/19136*c_1001_2^9 + 27156071/841984*c_1001_2^8 - 11902069/315744*c_1001_2^7 + 56273465/420992*c_1001_2^6 + 184494481/2525952*c_1001_2^5 + 333433/13156*c_1001_2^4 - 2014431/36608*c_1001_2^3 + 211597765/1262976*c_1001_2^2 + 94576535/631488*c_1001_2 + 696133/8096, c_0011_0 - 1, c_0011_10 - 9/364*c_1001_2^12 + 171/2912*c_1001_2^11 - 1055/8736*c_1001_2^10 + 199/4368*c_1001_2^9 - 229/1092*c_1001_2^8 + 3335/8736*c_1001_2^7 - 643/624*c_1001_2^6 + 1787/4368*c_1001_2^5 - 2953/8736*c_1001_2^4 + 985/1456*c_1001_2^3 - 4447/2912*c_1001_2^2 + 635/728*c_1001_2 - 1073/2184, c_0011_3 + 151/16744*c_1001_2^12 - 1195/33488*c_1001_2^11 + 4307/33488*c_1001_2^10 - 3791/16744*c_1001_2^9 + 6161/16744*c_1001_2^8 - 9699/33488*c_1001_2^7 + 1585/2392*c_1001_2^6 - 7559/8372*c_1001_2^5 + 53005/33488*c_1001_2^4 - 159/364*c_1001_2^3 - 10667/33488*c_1001_2^2 - 4759/8372*c_1001_2 + 7957/8372, c_0011_6 - 11425/401856*c_1001_2^12 + 11953/133952*c_1001_2^11 - 34609/200928*c_1001_2^10 + 4579/50232*c_1001_2^9 - 24047/401856*c_1001_2^8 + 14661/66976*c_1001_2^7 - 21325/28704*c_1001_2^6 + 106025/401856*c_1001_2^5 + 137875/200928*c_1001_2^4 - 1671/5824*c_1001_2^3 - 9641/12558*c_1001_2^2 - 11887/100464*c_1001_2 + 8383/25116, c_0101_0 - 597/20608*c_1001_2^12 + 2347/61824*c_1001_2^11 + 13/644*c_1001_2^10 - 1571/5152*c_1001_2^9 + 4805/20608*c_1001_2^8 - 285/5152*c_1001_2^7 - 485/4416*c_1001_2^6 - 32887/20608*c_1001_2^5 + 30599/15456*c_1001_2^4 - 149/896*c_1001_2^3 - 4649/10304*c_1001_2^2 - 25367/15456*c_1001_2 + 4703/7728, c_0101_1 + 1, c_0101_10 - 37/200928*c_1001_2^12 - 1607/200928*c_1001_2^11 + 997/25116*c_1001_2^10 - 3881/50232*c_1001_2^9 + 16565/200928*c_1001_2^8 - 817/50232*c_1001_2^7 - 811/14352*c_1001_2^6 - 8685/66976*c_1001_2^5 + 1527/16744*c_1001_2^4 + 305/2912*c_1001_2^3 - 56561/100464*c_1001_2^2 + 6143/16744*c_1001_2 - 4911/8372, c_0110_4 - 12127/803712*c_1001_2^12 + 32635/803712*c_1001_2^11 - 3629/50232*c_1001_2^10 - 1177/200928*c_1001_2^9 + 7855/803712*c_1001_2^8 - 2673/66976*c_1001_2^7 - 7351/19136*c_1001_2^6 - 86245/803712*c_1001_2^5 + 67579/200928*c_1001_2^4 - 8821/11648*c_1001_2^3 - 120755/401856*c_1001_2^2 + 19403/66976*c_1001_2 + 3727/100464, c_0110_7 + 14617/803712*c_1001_2^12 - 47353/803712*c_1001_2^11 + 25421/200928*c_1001_2^10 - 27155/200928*c_1001_2^9 + 191543/803712*c_1001_2^8 - 6219/16744*c_1001_2^7 + 14909/19136*c_1001_2^6 - 488645/803712*c_1001_2^5 + 57541/100464*c_1001_2^4 - 10229/11648*c_1001_2^3 + 346091/401856*c_1001_2^2 + 271/66976*c_1001_2 + 53381/100464, c_1001_0 - 24721/803712*c_1001_2^12 + 108569/803712*c_1001_2^11 - 59131/200928*c_1001_2^10 + 60439/200928*c_1001_2^9 - 178879/803712*c_1001_2^8 + 50605/100464*c_1001_2^7 - 25053/19136*c_1001_2^6 + 383023/267904*c_1001_2^5 - 4321/50232*c_1001_2^4 - 1987/11648*c_1001_2^3 - 406583/401856*c_1001_2^2 + 123091/200928*c_1001_2 + 6815/100464, c_1001_2^13 - 3*c_1001_2^12 + 6*c_1001_2^11 - 4*c_1001_2^10 + 7*c_1001_2^9 - 14*c_1001_2^8 + 34*c_1001_2^7 - 17*c_1001_2^6 + 2*c_1001_2^5 - 17*c_1001_2^4 + 40*c_1001_2^3 - 8*c_1001_2^2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB