Magma V2.19-8 Wed Aug 21 2013 01:10:57 on localhost [Seed = 1393904262] Type ? for help. Type -D to quit. Loading file "L14n55102__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55102 geometric_solution 11.94292018 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 2 2 1 2 0 0 1 -1 1 0 -1 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 -2 1 -2 0 2 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630364781811 0.709034867030 0 4 0 5 0132 0132 3012 0132 2 2 2 1 0 0 -1 1 -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 0 1 -1 2 0 -1 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299664876650 0.787737569402 6 7 7 0 0132 0132 2031 0132 2 2 2 2 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 0 -2 2 2 0 0 -2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604341459194 0.955837202116 4 4 0 8 0132 1302 0132 0132 2 2 2 1 0 0 1 -1 0 0 0 0 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 -1 1 0 0 0 0 -2 2 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.057742720733 0.751852074679 3 1 9 3 0132 0132 0132 2031 2 2 1 2 0 0 -1 1 0 0 0 0 -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 2 -2 0 0 0 0 2 1 0 -3 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101549630504 1.322249790252 10 11 1 11 0132 0132 0132 1230 2 2 0 2 0 1 -1 0 0 0 -1 1 -1 -1 0 2 0 -1 1 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 1 2 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802028734645 1.191056955440 2 8 10 9 0132 1023 0132 3201 2 2 2 2 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 0 0 0 -2 0 0 2 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124080319131 1.052942537071 8 2 11 2 3012 0132 2031 1302 2 2 2 2 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 0 0 0 -1 0 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056838950383 1.051451523768 6 9 3 7 1023 1230 0132 1230 2 2 2 2 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 0 0 0 1.027659248503 0.560299369040 12 6 8 4 0132 2310 3012 0132 2 2 2 2 0 -1 0 1 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 2 0 -2 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 0 0 -0.456746902019 1.094962398546 5 12 12 6 0132 1230 2310 0132 2 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225983192015 0.862514680275 5 5 12 7 3012 0132 1230 1302 2 2 2 0 0 -1 0 1 0 0 0 0 -1 1 0 0 -2 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 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135800523638 0.817018358404 9 10 10 11 0132 3201 3012 3012 0 2 2 2 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 -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 0.225983192015 0.862514680275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_0011_2'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : d['c_0110_7'], 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_8']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_7']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0110_7'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : 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'], 'c_1100_12' : negation(d['c_0101_11']), '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' : d['1'], 's_1_1' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_12'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_12'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_2, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0110_11, c_0110_7, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 52111715136263198047/448824010108490680400*c_1001_8^6 + 6001035147002216545583/897648020216981360800*c_1001_8^5 + 13157574177468075840833/897648020216981360800*c_1001_8^4 - 542852256598159641933/89764802021698136080*c_1001_8^3 - 22074983567578803717/758148665723801825*c_1001_8^2 - 390929634912475233049/179529604043396272160*c_1001_8 + 14825532162948909649681/897648020216981360800, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 122247/1085816*c_1001_8^6 - 14112017/2171632*c_1001_8^5 - 8197177/542908*c_1001_8^4 + 5820867/1085816*c_1001_8^3 + 32540173/1085816*c_1001_8^2 + 8275611/2171632*c_1001_8 - 4687675/271454, c_0011_2 - 12773/2171632*c_1001_8^6 - 1406697/4343264*c_1001_8^5 + 431231/4343264*c_1001_8^4 + 3569607/2171632*c_1001_8^3 + 44683/1085816*c_1001_8^2 - 6866421/4343264*c_1001_8 + 4099023/4343264, c_0101_0 - 1, c_0101_1 - 120599/2171632*c_1001_8^6 - 13904403/4343264*c_1001_8^5 - 31166923/4343264*c_1001_8^4 + 12006203/2171632*c_1001_8^3 + 10734375/542908*c_1001_8^2 + 590509/4343264*c_1001_8 - 58025807/4343264, c_0101_11 - 275569/2171632*c_1001_8^6 - 31865577/4343264*c_1001_8^5 - 77096611/4343264*c_1001_8^4 + 7961745/2171632*c_1001_8^3 + 34068409/1085816*c_1001_8^2 + 19557911/4343264*c_1001_8 - 74445903/4343264, c_0101_12 + 31075/2171632*c_1001_8^6 + 3641543/4343264*c_1001_8^5 + 11519195/4343264*c_1001_8^4 + 3679989/2171632*c_1001_8^3 - 382059/271454*c_1001_8^2 - 3006689/4343264*c_1001_8 - 556897/4343264, c_0101_2 + 122247/1085816*c_1001_8^6 + 14112017/2171632*c_1001_8^5 + 8197177/542908*c_1001_8^4 - 5820867/1085816*c_1001_8^3 - 32540173/1085816*c_1001_8^2 - 6103979/2171632*c_1001_8 + 4959129/271454, c_0101_7 - 205121/2171632*c_1001_8^6 - 23741693/4343264*c_1001_8^5 - 58680041/4343264*c_1001_8^4 + 4450019/2171632*c_1001_8^3 + 25821691/1085816*c_1001_8^2 + 16474903/4343264*c_1001_8 - 52430721/4343264, c_0110_11 - 31075/2171632*c_1001_8^6 - 3641543/4343264*c_1001_8^5 - 11519195/4343264*c_1001_8^4 - 3679989/2171632*c_1001_8^3 + 382059/271454*c_1001_8^2 + 7349953/4343264*c_1001_8 + 4900161/4343264, c_0110_7 - 15731/542908*c_1001_8^6 - 449201/271454*c_1001_8^5 - 6159561/2171632*c_1001_8^4 + 3016021/542908*c_1001_8^3 + 13266715/1085816*c_1001_8^2 - 1169865/542908*c_1001_8 - 22470697/2171632, c_1001_8^7 + 119/2*c_1001_8^6 + 237*c_1001_8^5 + 395/2*c_1001_8^4 - 337*c_1001_8^3 - 995/2*c_1001_8^2 + 99*c_1001_8 + 545/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB