Magma V2.19-8 Tue Aug 20 2013 23:56:48 on localhost [Seed = 3069238862] Type ? for help. Type -D to quit. Loading file "L14n24773__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24773 geometric_solution 10.29801197 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 -2 0 -1 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.059010770609 1.145666072745 0 5 2 4 0132 0132 3120 3120 1 0 1 1 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 2 0 1 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241690489235 0.388408481267 3 0 1 6 2103 0132 3120 0132 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 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0.519353111318 0.772142692547 6 7 2 0 3120 0132 2103 0132 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 0 0 0 0 0 0 0 0 -1 0 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 0.122501903500 0.587796546943 1 5 0 6 3120 2310 0132 3120 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 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 0.580850146926 0.597942891979 7 1 8 4 3120 0132 0132 3201 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 -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 0.700372240580 0.977134590143 4 9 2 3 3120 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875340238627 0.547197560699 9 3 10 5 2103 0132 0132 3120 1 1 1 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 0 0 0 0 0 0 0 0 1 0 -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 0.110565360026 0.524846202878 11 10 9 5 0132 1023 1302 0132 1 1 1 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 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 0 0 0 0 0 0 0 0.184864028486 0.438327172961 8 6 7 11 2031 0132 2103 2103 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333321895555 0.229260185715 8 11 11 7 1023 2103 3120 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.231432534790 1.183182083402 8 10 10 9 0132 2103 3120 2103 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 -0.130735640923 0.486439220740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : 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' : 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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_10'], '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_11' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_0']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4666377598971559/41041085228*c_1001_1^7 + 13043693230233421/41041085228*c_1001_1^6 + 12212384224379507/41041085228*c_1001_1^5 + 318484636251128/10260271307*c_1001_1^4 - 2548654340889893/41041085228*c_1001_1^3 + 2811898204389/932751937*c_1001_1^2 + 430111999151559/41041085228*c_1001_1 - 12893683030144/10260271307, c_0011_0 - 1, c_0011_10 + 421139498/4220597*c_1001_1^7 + 1226282540/4220597*c_1001_1^6 + 1203206960/4220597*c_1001_1^5 + 164656027/4220597*c_1001_1^4 - 269954198/4220597*c_1001_1^3 - 9751951/4220597*c_1001_1^2 + 40095612/4220597*c_1001_1 - 6116831/4220597, c_0011_3 + 461878858/4220597*c_1001_1^7 + 1291455562/4220597*c_1001_1^6 + 1077654982/4220597*c_1001_1^5 - 158649275/4220597*c_1001_1^4 - 422515387/4220597*c_1001_1^3 + 75717836/4220597*c_1001_1^2 + 77463612/4220597*c_1001_1 - 20264900/4220597, c_0011_4 - 310185241/4220597*c_1001_1^7 - 962062022/4220597*c_1001_1^6 - 1041714360/4220597*c_1001_1^5 - 253320112/4220597*c_1001_1^4 + 192721535/4220597*c_1001_1^3 + 27015365/4220597*c_1001_1^2 - 38765477/4220597*c_1001_1 - 914890/4220597, c_0011_6 + 442972466/4220597*c_1001_1^7 + 1283141154/4220597*c_1001_1^6 + 1228556348/4220597*c_1001_1^5 + 114314310/4220597*c_1001_1^4 - 302095560/4220597*c_1001_1^3 + 14796615/4220597*c_1001_1^2 + 53123752/4220597*c_1001_1 - 11107667/4220597, c_0101_0 - 1, c_0101_1 + 174827465/4220597*c_1001_1^7 + 558946818/4220597*c_1001_1^6 + 658628091/4220597*c_1001_1^5 + 248387466/4220597*c_1001_1^4 - 58299059/4220597*c_1001_1^3 - 20099812/4220597*c_1001_1^2 + 13147783/4220597*c_1001_1 + 1168081/4220597, c_0101_10 - 68913714/4220597*c_1001_1^7 - 197619038/4220597*c_1001_1^6 - 242294848/4220597*c_1001_1^5 - 151882556/4220597*c_1001_1^4 - 56684367/4220597*c_1001_1^3 + 3544642/4220597*c_1001_1^2 + 5206062/4220597*c_1001_1 - 4561710/4220597, c_0101_11 + 236842778/4220597*c_1001_1^7 + 788401199/4220597*c_1001_1^6 + 949696138/4220597*c_1001_1^5 + 355930871/4220597*c_1001_1^4 - 90117612/4220597*c_1001_1^3 - 21174709/4220597*c_1001_1^2 + 30483679/4220597*c_1001_1 + 353993/4220597, c_0101_6 + 416354724/4220597*c_1001_1^7 + 1283732621/4220597*c_1001_1^6 + 1373477113/4220597*c_1001_1^5 + 340465922/4220597*c_1001_1^4 - 223992824/4220597*c_1001_1^3 - 19810815/4220597*c_1001_1^2 + 49178891/4220597*c_1001_1 - 2954243/4220597, c_1001_0 - 564665043/4220597*c_1001_1^7 - 1678170015/4220597*c_1001_1^6 - 1689014581/4220597*c_1001_1^5 - 275107611/4220597*c_1001_1^4 + 359566364/4220597*c_1001_1^3 + 3203051/4220597*c_1001_1^2 - 68380182/4220597*c_1001_1 + 4441287/4220597, c_1001_1^8 + 370/101*c_1001_1^7 + 509/101*c_1001_1^6 + 256/101*c_1001_1^5 - 32/101*c_1001_1^4 - 45/101*c_1001_1^3 + 12/101*c_1001_1^2 + 7/101*c_1001_1 - 1/101 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB