Magma V2.19-8 Tue Aug 20 2013 23:48:46 on localhost [Seed = 2783170305] Type ? for help. Type -D to quit. Loading file "L12n1001__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1001 geometric_solution 11.45024681 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 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 -1 0 1 -1 0 2 -1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875800416150 0.807139461703 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 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 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 0.658669984667 0.547684768384 4 0 9 8 0213 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908655139524 0.616003326989 8 10 9 0 3120 0132 0321 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498196451622 0.872704841874 2 11 0 7 0213 0132 0132 0132 1 1 1 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 1 -1 0 1 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 0.389944816054 0.656904063327 7 1 8 6 0321 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723892717776 0.547459254893 5 11 1 9 3120 0321 0132 0321 1 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 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 0.564555360233 0.468819132074 5 10 4 1 0321 3012 0132 0132 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 0 0 0 0 0 0 0 1 -1 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 0.800815019837 1.137155433953 5 11 2 3 2103 3201 0132 3120 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 1 -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 0.817694099485 0.922622404100 10 6 3 2 3012 0321 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 0 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 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304759370291 0.773502772302 7 3 11 9 1230 0132 3201 1230 1 0 1 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 0 0 0 0 0 0 0 -1 0 2 -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 0.189335527789 0.708407907770 10 4 8 6 2310 0132 2310 0321 1 1 0 1 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 -1 0 1 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 0.144563305959 0.876832991856 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_3']), 's_3_11' : 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_0011_6'], 's_2_0' : negation(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_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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['c_0011_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0011_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_3'])})} 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_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2502525337239/125549595248*c_1001_9^8 + 198989419367/815257112*c_1001_9^7 - 29541918468483/125549595248*c_1001_9^6 - 1557838609961/4483914116*c_1001_9^5 + 1484870209431/2241957058*c_1001_9^4 + 112484287042119/62774797624*c_1001_9^3 + 112026105145277/125549595248*c_1001_9^2 - 7971382354795/15693699406*c_1001_9 - 60408599977547/125549595248, c_0011_0 - 1, c_0011_10 - 1435435/8672948*c_1001_9^8 + 4482285/2168237*c_1001_9^7 - 10918793/4336474*c_1001_9^6 - 6948017/4336474*c_1001_9^5 + 24784293/4336474*c_1001_9^4 + 25503889/2168237*c_1001_9^3 + 56262743/8672948*c_1001_9^2 + 1929257/4336474*c_1001_9 - 526698/2168237, c_0011_11 + 1775793/17345896*c_1001_9^8 - 21127315/17345896*c_1001_9^7 + 6531763/8672948*c_1001_9^6 + 5470343/2168237*c_1001_9^5 - 17737607/4336474*c_1001_9^4 - 77223253/8672948*c_1001_9^3 - 122691177/17345896*c_1001_9^2 - 12949431/17345896*c_1001_9 - 595011/8672948, c_0011_6 + 482783/17345896*c_1001_9^8 - 7424641/17345896*c_1001_9^7 + 12429437/8672948*c_1001_9^6 - 2232625/2168237*c_1001_9^5 - 6771423/4336474*c_1001_9^4 + 5508593/8672948*c_1001_9^3 + 75531449/17345896*c_1001_9^2 + 56790939/17345896*c_1001_9 - 13033/8672948, c_0011_7 - 1979471/17345896*c_1001_9^8 + 24227139/17345896*c_1001_9^7 - 11829507/8672948*c_1001_9^6 - 3669635/2168237*c_1001_9^5 + 15524473/4336474*c_1001_9^4 + 82264943/8672948*c_1001_9^3 + 115684395/17345896*c_1001_9^2 - 19393185/17345896*c_1001_9 - 8036321/8672948, c_0011_8 + 482783/17345896*c_1001_9^8 - 7424641/17345896*c_1001_9^7 + 12429437/8672948*c_1001_9^6 - 2232625/2168237*c_1001_9^5 - 6771423/4336474*c_1001_9^4 + 5508593/8672948*c_1001_9^3 + 75531449/17345896*c_1001_9^2 + 39445043/17345896*c_1001_9 - 13033/8672948, c_0101_0 - 1, c_0101_11 - 383069/8672948*c_1001_9^8 + 4750339/8672948*c_1001_9^7 - 1356335/2168237*c_1001_9^6 - 1887899/4336474*c_1001_9^5 + 5299499/4336474*c_1001_9^4 + 8670503/2168237*c_1001_9^3 + 10783919/8672948*c_1001_9^2 - 1757579/8672948*c_1001_9 + 2051951/4336474, c_0101_3 + 328939/17345896*c_1001_9^8 - 5230287/17345896*c_1001_9^7 + 9880483/8672948*c_1001_9^6 - 2940284/2168237*c_1001_9^5 - 1747187/4336474*c_1001_9^4 + 9889709/8672948*c_1001_9^3 + 31733529/17345896*c_1001_9^2 + 1717245/17345896*c_1001_9 - 1867243/8672948, c_0101_5 - 1095/8672948*c_1001_9^8 + 424547/4336474*c_1001_9^7 - 2681258/2168237*c_1001_9^6 + 4061128/2168237*c_1001_9^5 + 614393/2168237*c_1001_9^4 - 15256689/4336474*c_1001_9^3 - 48515871/8672948*c_1001_9^2 - 9052487/4336474*c_1001_9 + 882702/2168237, c_1001_2 + 383069/8672948*c_1001_9^8 - 4750339/8672948*c_1001_9^7 + 1356335/2168237*c_1001_9^6 + 1887899/4336474*c_1001_9^5 - 5299499/4336474*c_1001_9^4 - 8670503/2168237*c_1001_9^3 - 10783919/8672948*c_1001_9^2 - 6915369/8672948*c_1001_9 - 2051951/4336474, c_1001_9^9 - 12*c_1001_9^8 + 9*c_1001_9^7 + 18*c_1001_9^6 - 28*c_1001_9^5 - 94*c_1001_9^4 - 71*c_1001_9^3 - 6*c_1001_9^2 + 9*c_1001_9 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB