Magma V2.19-8 Tue Aug 20 2013 23:59:20 on localhost [Seed = 475690337] Type ? for help. Type -D to quit. Loading file "L14n43240__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43240 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 0 0 0 -5 0 2 3 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 1 0 -1 2 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 0.629435790562 0.675369033559 0 2 6 5 0132 0213 0132 0132 2 0 0 2 0 0 0 0 5 0 -2 -3 3 -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 -2 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 0.643974482365 0.639344788968 7 0 1 5 0132 0132 0213 0213 2 0 0 2 0 0 0 0 -3 0 3 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 -1 0 1 1 0 -1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584954948377 0.477187150141 8 6 9 0 0132 0213 0132 0132 2 0 0 2 0 0 0 0 2 0 0 -2 -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 0 0 0 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037966852717 1.122775826834 7 6 0 7 3120 0132 0132 0321 2 0 2 2 0 0 0 0 3 0 -3 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 1 -1 -1 0 1 0 -4 -1 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437364299288 1.010807527276 10 8 1 2 0132 2310 0132 0213 2 0 0 0 0 0 0 0 0 0 3 -3 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 1 0 -1 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 -0.180812977510 1.015616289513 9 4 3 1 1302 0132 0213 0132 2 0 2 2 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 0 0 0 0 0 0 0 0 0 0 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 0.842040985031 0.907522467056 2 4 9 4 0132 0321 0321 3120 2 0 2 0 0 0 0 0 3 0 0 -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 1 0 -1 -1 0 0 1 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420413639078 0.755297380546 3 9 11 5 0132 1023 0132 3201 0 0 2 0 0 0 0 0 -2 0 0 2 0 0 0 0 2 0 -2 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180812977510 1.015616289513 8 6 7 3 1023 2031 0321 0132 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029927632002 0.794298060309 5 11 11 11 0132 3201 3012 3120 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 3 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 0.169909896755 0.954374300282 10 10 10 8 3120 1230 2310 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 -2 0 2 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 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169909896755 0.954374300282 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_7' : 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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 537025/48448*c_1001_7^6 + 274315/96896*c_1001_7^5 - 11181443/193792*c_1001_7^4 + 266607/24224*c_1001_7^3 - 17396889/193792*c_1001_7^2 - 7363497/193792*c_1001_7 - 2092499/193792, c_0011_0 - 1, c_0011_10 + 79/6056*c_1001_7^6 - 6741/12112*c_1001_7^5 + 5917/24224*c_1001_7^4 - 2146/757*c_1001_7^3 + 31727/24224*c_1001_7^2 - 100937/24224*c_1001_7 - 41803/24224, c_0011_11 + 1, c_0011_3 - 664/757*c_1001_7^6 + 464/757*c_1001_7^5 - 3560/757*c_1001_7^4 + 2375/757*c_1001_7^3 - 5599/757*c_1001_7^2 + 605/757*c_1001_7 + 468/757, c_0011_4 + 469/757*c_1001_7^6 - 847/1514*c_1001_7^5 + 9447/3028*c_1001_7^4 - 2007/757*c_1001_7^3 + 15413/3028*c_1001_7^2 - 1951/3028*c_1001_7 - 2061/3028, c_0101_0 - 1, c_0101_1 + 189/757*c_1001_7^6 + 201/1514*c_1001_7^5 + 3807/3028*c_1001_7^4 + 773/757*c_1001_7^3 + 4765/3028*c_1001_7^2 + 8117/3028*c_1001_7 - 469/3028, c_0101_10 - 79/6056*c_1001_7^6 + 6741/12112*c_1001_7^5 - 5917/24224*c_1001_7^4 + 2146/757*c_1001_7^3 - 31727/24224*c_1001_7^2 + 100937/24224*c_1001_7 + 17579/24224, c_0101_3 - 195/757*c_1001_7^6 + 81/1514*c_1001_7^5 - 4793/3028*c_1001_7^4 + 368/757*c_1001_7^3 - 10011/3028*c_1001_7^2 + 469/3028*c_1001_7 - 3217/3028, c_1001_0 + 664/757*c_1001_7^6 - 464/757*c_1001_7^5 + 3560/757*c_1001_7^4 - 2375/757*c_1001_7^3 + 5599/757*c_1001_7^2 - 605/757*c_1001_7 - 468/757, c_1001_1 - 721/757*c_1001_7^6 + 579/1514*c_1001_7^5 - 14523/3028*c_1001_7^4 + 1481/757*c_1001_7^3 - 20757/3028*c_1001_7^2 - 6853/3028*c_1001_7 + 1677/3028, c_1001_7^7 - 1/2*c_1001_7^6 + 21/4*c_1001_7^5 - 9/4*c_1001_7^4 + 33/4*c_1001_7^3 + 3/2*c_1001_7^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB