Magma V2.19-8 Tue Aug 20 2013 23:42:30 on localhost [Seed = 274101625] Type ? for help. Type -D to quit. Loading file "L13n3528__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3528 geometric_solution 10.75669771 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 1 1 0 1 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 1 0 -1 4 0 0 -4 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633766767088 0.984810311914 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 1 0 -1 -1 0 0 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 4 0 -4 -4 0 0 4 0 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537906396991 0.718047346351 5 0 5 6 0132 0132 3012 0132 1 1 1 0 0 0 -1 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 -1 -3 4 -3 0 3 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 0.331739572112 0.892055996360 7 6 6 0 0132 3120 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537906396991 0.718047346351 7 8 1 7 2103 0132 0132 0321 1 1 1 1 0 0 1 -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 0 4 -4 0 0 -4 4 0 -3 0 3 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769075266449 0.899320321657 2 2 9 1 0132 1230 0132 0132 1 1 0 1 0 -1 1 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 -3 3 0 3 0 -3 0 1 0 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537906396991 0.718047346351 3 3 2 8 2103 3120 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331739572112 0.892055996360 3 4 4 9 0132 0321 2103 3120 1 1 1 1 0 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 -3 0 3 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769075266449 0.899320321657 9 4 10 6 2310 0132 0132 1023 1 1 1 1 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 0 0 0 4 0 0 -4 3 -3 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807334088344 1.114187174641 7 10 8 5 3120 0213 3201 0132 1 1 1 1 0 0 1 -1 0 0 -1 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 0 3 -3 0 0 -3 3 -3 0 0 3 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573561432785 0.588520154447 10 10 9 8 1302 2031 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447720096592 0.418259618705 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_1100_8' : d['c_1001_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1100_10' : d['c_1001_5'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_8'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_3']), '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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 272673/46*c_0110_6^10 + 369097/161*c_0110_6^9 - 308979/14*c_0110_6^8 - 585745/161*c_0110_6^7 + 8536235/322*c_0110_6^6 + 1177201/322*c_0110_6^5 - 5270281/322*c_0110_6^4 - 185443/161*c_0110_6^3 + 825365/161*c_0110_6^2 + 56062/161*c_0110_6 - 179660/161, c_0011_0 - 1, c_0011_10 + 199/23*c_0110_6^10 + 1578/161*c_0110_6^9 - 198/7*c_0110_6^8 - 3994/161*c_0110_6^7 + 5367/161*c_0110_6^6 + 3688/161*c_0110_6^5 - 3412/161*c_0110_6^4 - 1852/161*c_0110_6^3 + 1084/161*c_0110_6^2 + 438/161*c_0110_6 - 78/161, c_0011_3 - 78/23*c_0110_6^10 - 358/161*c_0110_6^9 + 94/7*c_0110_6^8 + 1182/161*c_0110_6^7 - 2314/161*c_0110_6^6 - 1325/161*c_0110_6^5 + 428/161*c_0110_6^4 + 412/161*c_0110_6^3 + 334/161*c_0110_6^2 + 50/161*c_0110_6 - 128/161, c_0011_4 + 78/23*c_0110_6^10 + 358/161*c_0110_6^9 - 94/7*c_0110_6^8 - 1182/161*c_0110_6^7 + 2314/161*c_0110_6^6 + 1325/161*c_0110_6^5 - 428/161*c_0110_6^4 - 412/161*c_0110_6^3 - 334/161*c_0110_6^2 - 50/161*c_0110_6 + 128/161, c_0011_6 + 181/23*c_0110_6^10 + 2449/161*c_0110_6^9 - 95/7*c_0110_6^8 - 5839/161*c_0110_6^7 - 641/161*c_0110_6^6 + 3568/161*c_0110_6^5 + 1492/161*c_0110_6^4 - 568/161*c_0110_6^3 - 387/161*c_0110_6^2 + 78/161*c_0110_6 + 103/161, c_0101_0 - 1, c_0101_1 - 25/23*c_0110_6^10 + 521/161*c_0110_6^9 + 19/7*c_0110_6^8 - 1999/161*c_0110_6^7 + 117/161*c_0110_6^6 + 1497/161*c_0110_6^5 + 228/161*c_0110_6^4 - 256/161*c_0110_6^3 - 281/161*c_0110_6^2 - 178/161*c_0110_6 + 153/161, c_0101_3 + c_0110_6, c_0101_8 + 57/23*c_0110_6^10 - 692/161*c_0110_6^9 - 150/7*c_0110_6^8 + 1254/161*c_0110_6^7 + 7165/161*c_0110_6^6 + 219/161*c_0110_6^5 - 5762/161*c_0110_6^4 - 685/161*c_0110_6^3 + 1948/161*c_0110_6^2 + 174/161*c_0110_6 - 278/161, c_0110_6^11 + 8/7*c_0110_6^10 - 24/7*c_0110_6^9 - 24/7*c_0110_6^8 + 4*c_0110_6^7 + 4*c_0110_6^6 - 16/7*c_0110_6^5 - 16/7*c_0110_6^4 + 5/7*c_0110_6^3 + 5/7*c_0110_6^2 - 1/7*c_0110_6 - 1/7, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB