Magma V2.19-8 Tue Aug 20 2013 23:55:59 on localhost [Seed = 3566386412] Type ? for help. Type -D to quit. Loading file "L14n13464__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13464 geometric_solution 11.39239158 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 1 1 1 1 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 -1 1 1 0 0 -1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029811769370 1.403564148567 0 3 0 2 0132 1023 1023 1023 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029811769370 1.403564148567 4 0 5 1 0132 0132 0132 1023 1 1 1 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 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 0 0 0 0.508196421608 0.733694750448 1 4 0 5 1023 0132 0132 0132 1 1 1 1 0 0 0 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 1 -1 0 0 0 1 -1 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508196421608 0.733694750448 2 3 6 7 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 -1 1 0 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249049969373 0.586256797080 8 9 3 2 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 -1 0 1 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 0.249049969373 0.586256797080 8 10 10 4 3120 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 3 0 -3 0 0 3 0 -3 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 11 9 4 9 0132 0213 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 5 11 11 6 0132 0213 0132 3120 0 1 1 1 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 1 0 -1 1 0 2 -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 0.146861229447 1.063100969536 7 5 7 10 3012 0132 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 0.146861229447 1.063100969536 6 6 9 11 2031 0132 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 1 -2 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 -1 0 0 1 -2 3 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872488831624 0.923029496880 7 10 8 8 0132 2310 0213 0132 0 1 1 1 0 -1 1 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 1 -1 0 0 0 2 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872488831624 0.923029496880 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_4'], 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), '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_11']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10']})} 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_5, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0110_10, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 845012/257391*c_1001_2^13 + 6064/85797*c_1001_2^12 + 8245451/257391*c_1001_2^11 + 550679/257391*c_1001_2^10 + 3456160/28599*c_1001_2^9 + 2786155/257391*c_1001_2^8 + 57607025/257391*c_1001_2^7 + 1111435/257391*c_1001_2^6 + 57455695/257391*c_1001_2^5 - 5215309/257391*c_1001_2^4 + 10550230/85797*c_1001_2^3 - 6701629/257391*c_1001_2^2 + 6595142/257391*c_1001_2 - 3507505/257391, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1290/9533*c_1001_2^13 + 7719/9533*c_1001_2^12 + 12554/9533*c_1001_2^11 + 71887/9533*c_1001_2^10 + 56864/9533*c_1001_2^9 + 248287/9533*c_1001_2^8 + 156497/9533*c_1001_2^7 + 388769/9533*c_1001_2^6 + 228594/9533*c_1001_2^5 + 315459/9533*c_1001_2^4 + 173743/9533*c_1001_2^3 + 146587/9533*c_1001_2^2 + 54162/9533*c_1001_2 + 19716/9533, c_0011_5 + 450/9533*c_1001_2^13 + 254/9533*c_1001_2^12 + 4601/9533*c_1001_2^11 + 2242/9533*c_1001_2^10 + 17841/9533*c_1001_2^9 + 5027/9533*c_1001_2^8 + 33309/9533*c_1001_2^7 - 8043/9533*c_1001_2^6 + 31412/9533*c_1001_2^5 - 38937/9533*c_1001_2^4 + 15160/9533*c_1001_2^3 - 34662/9533*c_1001_2^2 + 1823/9533*c_1001_2 - 14627/9533, c_0101_0 + 7509/9533*c_1001_2^13 + 171/9533*c_1001_2^12 + 70992/9533*c_1001_2^11 + 10592/9533*c_1001_2^10 + 254427/9533*c_1001_2^9 + 73906/9533*c_1001_2^8 + 437035/9533*c_1001_2^7 + 165316/9533*c_1001_2^6 + 410274/9533*c_1001_2^5 + 177545/9533*c_1001_2^4 + 226913/9533*c_1001_2^3 + 91586/9533*c_1001_2^2 + 56286/9533*c_1001_2 + 13760/9533, c_0101_10 - 450/9533*c_1001_2^13 - 254/9533*c_1001_2^12 - 4601/9533*c_1001_2^11 - 2242/9533*c_1001_2^10 - 17841/9533*c_1001_2^9 - 5027/9533*c_1001_2^8 - 33309/9533*c_1001_2^7 + 8043/9533*c_1001_2^6 - 31412/9533*c_1001_2^5 + 38937/9533*c_1001_2^4 - 15160/9533*c_1001_2^3 + 34662/9533*c_1001_2^2 - 1823/9533*c_1001_2 + 14627/9533, c_0101_2 + 3411/9533*c_1001_2^13 + 1544/9533*c_1001_2^12 + 32397/9533*c_1001_2^11 + 17757/9533*c_1001_2^10 + 119410/9533*c_1001_2^9 + 76046/9533*c_1001_2^8 + 220642/9533*c_1001_2^7 + 140943/9533*c_1001_2^6 + 227426/9533*c_1001_2^5 + 139753/9533*c_1001_2^4 + 128259/9533*c_1001_2^3 + 72061/9533*c_1001_2^2 + 23542/9533*c_1001_2 + 13247/9533, c_0101_4 + c_1001_2, c_0110_10 - 460/9533*c_1001_2^13 - 3861/9533*c_1001_2^12 - 6398/9533*c_1001_2^11 - 37458/9533*c_1001_2^10 - 37939/9533*c_1001_2^9 - 140931/9533*c_1001_2^8 - 116033/9533*c_1001_2^7 - 263151/9533*c_1001_2^6 - 171080/9533*c_1001_2^5 - 270338/9533*c_1001_2^4 - 125656/9533*c_1001_2^3 - 150779/9533*c_1001_2^2 - 46139/9533*c_1001_2 - 27205/9533, c_1001_10 + 3411/9533*c_1001_2^13 + 1544/9533*c_1001_2^12 + 32397/9533*c_1001_2^11 + 17757/9533*c_1001_2^10 + 119410/9533*c_1001_2^9 + 76046/9533*c_1001_2^8 + 220642/9533*c_1001_2^7 + 140943/9533*c_1001_2^6 + 227426/9533*c_1001_2^5 + 139753/9533*c_1001_2^4 + 128259/9533*c_1001_2^3 + 72061/9533*c_1001_2^2 + 23542/9533*c_1001_2 + 13247/9533, c_1001_2^14 + 10*c_1001_2^12 + c_1001_2^11 + 39*c_1001_2^10 + 8*c_1001_2^9 + 76*c_1001_2^8 + 20*c_1001_2^7 + 83*c_1001_2^6 + 25*c_1001_2^5 + 54*c_1001_2^4 + 16*c_1001_2^3 + 19*c_1001_2^2 + 4*c_1001_2 + 3, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB