Magma V2.19-8 Tue Aug 20 2013 23:42:30 on localhost [Seed = 88301676] Type ? for help. Type -D to quit. Loading file "L13n3528__sl2_c0.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' : d['1'], 's_2_2' : 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' : d['1'], 's_0_1' : 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' : 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' : 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' : 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 + 55808505/86*c_0110_6^10 - 184725041/43*c_0110_6^9 + 1085574211/86*c_0110_6^8 - 2832163514/129*c_0110_6^7 + 6444216875/258*c_0110_6^6 - 1658198979/86*c_0110_6^5 + 866547837/86*c_0110_6^4 - 445123717/129*c_0110_6^3 + 94567382/129*c_0110_6^2 - 11247866/129*c_0110_6 + 571519/129, c_0011_0 - 1, c_0011_10 + 1060875/43*c_0110_6^10 - 7380970/43*c_0110_6^9 + 23012938/43*c_0110_6^8 - 128531146/129*c_0110_6^7 + 158260367/129*c_0110_6^6 - 44732704/43*c_0110_6^5 + 26231692/43*c_0110_6^4 - 31128404/129*c_0110_6^3 + 7848988/129*c_0110_6^2 - 1131274/129*c_0110_6 + 70922/129, c_0011_3 + 3098610/43*c_0110_6^10 - 21530354/43*c_0110_6^9 + 67027982/43*c_0110_6^8 - 373722938/129*c_0110_6^7 + 459243142/129*c_0110_6^6 - 129490007/43*c_0110_6^5 + 75696380/43*c_0110_6^4 - 89442508/129*c_0110_6^3 + 22412558/129*c_0110_6^2 - 3199022/129*c_0110_6 + 197152/129, c_0011_4 - 3098610/43*c_0110_6^10 + 21530354/43*c_0110_6^9 - 67027982/43*c_0110_6^8 + 373722938/129*c_0110_6^7 - 459243142/129*c_0110_6^6 + 129490007/43*c_0110_6^5 - 75696380/43*c_0110_6^4 + 89442508/129*c_0110_6^3 - 22412558/129*c_0110_6^2 + 3199022/129*c_0110_6 - 197152/129, c_0011_6 + 1571625/43*c_0110_6^10 - 10938845/43*c_0110_6^9 + 34118813/43*c_0110_6^8 - 190622615/129*c_0110_6^7 + 234780535/129*c_0110_6^6 - 66375312/43*c_0110_6^5 + 38925860/43*c_0110_6^4 - 46180168/129*c_0110_6^3 + 11631533/129*c_0110_6^2 - 1670942/129*c_0110_6 + 103783/129, c_0101_0 - 1, c_0101_1 - 4670235/43*c_0110_6^10 + 32469199/43*c_0110_6^9 - 101146795/43*c_0110_6^8 + 564345553/129*c_0110_6^7 - 694023677/129*c_0110_6^6 + 195865319/43*c_0110_6^5 - 114622240/43*c_0110_6^4 + 135622676/129*c_0110_6^3 - 34044091/129*c_0110_6^2 + 4869964/129*c_0110_6 - 300935/129, c_0101_3 + c_0110_6, c_0101_8 - 2643435/43*c_0110_6^10 + 18558684/43*c_0110_6^9 - 58456182/43*c_0110_6^8 + 110052858/43*c_0110_6^7 - 137222833/43*c_0110_6^6 + 118059933/43*c_0110_6^5 - 70443674/43*c_0110_6^4 + 28463369/43*c_0110_6^3 - 7364124/43*c_0110_6^2 + 1092314/43*c_0110_6 - 70362/43, c_0110_6^11 - 328/45*c_0110_6^10 + 24*c_0110_6^9 - 6424/135*c_0110_6^8 + 8524/135*c_0110_6^7 - 7924/135*c_0110_6^6 + 1744/45*c_0110_6^5 - 2432/135*c_0110_6^4 + 773/135*c_0110_6^3 - 53/45*c_0110_6^2 + 19/135*c_0110_6 - 1/135, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB