Magma V2.19-8 Tue Aug 20 2013 23:41:02 on localhost [Seed = 981229273] Type ? for help. Type -D to quit. Loading file "L13a1355__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a1355 geometric_solution 7.13080208 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 1302 0132 1 1 1 0 0 -1 0 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 -20 1 19 0 0 -1 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475490642057 0.504495719972 0 4 5 4 0132 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.990339144763 0.952550897877 0 0 5 4 2031 0132 3012 0132 1 1 0 1 0 1 -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 0 0 0 0 20 -20 0 -1 0 0 1 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010646197606 1.049704693843 5 6 0 7 0132 0132 0132 0132 1 1 1 1 0 1 -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 0 0 0 0 19 -19 0 1 0 -1 0 20 -20 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.199206885163 0.446339785631 1 1 2 6 3012 0132 0132 1230 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 -1 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 0.010646197606 1.049704693843 3 2 6 1 0132 1230 2031 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 0 0 -1 0 1 0 -1 1 0 0 -20 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971575419214 0.479765987609 4 3 7 5 3012 0132 2031 1302 1 1 1 1 0 -1 1 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 -19 20 -1 0 0 0 0 -1 1 0 0 0 20 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267577777775 0.272604486936 8 8 3 6 0132 2310 0132 1302 1 1 1 1 0 0 0 0 -1 0 0 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 -20 0 0 20 0 20 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886286789516 0.910728951508 7 9 9 7 0132 0132 3201 3201 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 20 0 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.491085954316 0.233995990354 8 8 9 9 2310 0132 1230 3012 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 2.648349916780 0.239858641224 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0101_9']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_0101_8']), 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0110_6'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0101_8'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : d['c_0011_7'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_8, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 21144470649985631113987531/13134683814406968186880*c_0101_9^9 - 86662324925054420482249821/16418354768008710233600*c_0101_9^8 - 105161632862108330497442833/16418354768008710233600*c_0101_9^7 + 49080946960101986860023069/16418354768008710233600*c_0101_9^6 + 105225155667626556456369733/32836709536017420467200*c_0101_9^5 - 3388346010228004749683503/1641835476800871023360*c_0101_9^4 - 144799667980865078769337/656734190720348409344*c_0101_9^3 + 445486490683439318560217/656734190720348409344*c_0101_9^2 - 2662901378829636902525299/13134683814406968186880*c_0101_9 - 89398090075563518341789/16418354768008710233600, c_0011_0 - 1, c_0011_3 - 338803432497892133/58039998472881470*c_0101_9^9 - 12539858326946244049/580399984728814700*c_0101_9^8 - 18780022936407975907/580399984728814700*c_0101_9^7 - 1215447966895154629/580399984728814700*c_0101_9^6 + 7607999620724537081/580399984728814700*c_0101_9^5 + 158921375471221067/116079996945762940*c_0101_9^4 - 62106874273491511/116079996945762940*c_0101_9^3 + 44680099753015311/23215999389152588*c_0101_9^2 - 48610451539201337/116079996945762940*c_0101_9 - 4706154580270534/145099996182203675, c_0011_7 - 7306658051215765/92863997556610352*c_0101_9^9 + 62209170053576813/11607999694576294*c_0101_9^8 + 1160743607925021063/58039998472881470*c_0101_9^7 + 1741319234061563723/58039998472881470*c_0101_9^6 + 221322967589311109/232159993891525880*c_0101_9^5 - 259143458616495509/23215999389152588*c_0101_9^4 - 52345685895769687/58039998472881470*c_0101_9^3 + 52198275083011209/58039998472881470*c_0101_9^2 - 544517076176063437/464319987783051760*c_0101_9 + 1614441824497453/23215999389152588, c_0101_1 - 1, c_0101_2 - 812482642329273161/464319987783051760*c_0101_9^9 - 3739039905437451213/290199992364407350*c_0101_9^8 - 4980500422998952392/145099996182203675*c_0101_9^7 - 5535106470944795824/145099996182203675*c_0101_9^6 + 76631416191814913/1160799969457629400*c_0101_9^5 + 1885609464590301883/116079996945762940*c_0101_9^4 - 151156878341025586/29019999236440735*c_0101_9^3 - 30236000117052991/5803999847288147*c_0101_9^2 + 1058581581595462243/464319987783051760*c_0101_9 + 125202860076221461/580399984728814700, c_0101_4 - 6135710296365/808687376944*c_0101_9^9 - 6972886935923/202171844236*c_0101_9^8 - 13481150759243/202171844236*c_0101_9^7 - 8135596509949/202171844236*c_0101_9^6 + 5326911482811/404343688472*c_0101_9^5 + 1780438410615/101085922118*c_0101_9^4 - 1161224365187/202171844236*c_0101_9^3 - 664128784541/202171844236*c_0101_9^2 + 1505037359363/808687376944*c_0101_9 + 37054937781/202171844236, c_0101_5 + 515439667246973529/232159993891525880*c_0101_9^9 + 20133253145261004831/1160799969457629400*c_0101_9^8 + 53260877346834210383/1160799969457629400*c_0101_9^7 + 57988459527434759481/1160799969457629400*c_0101_9^6 - 4909575426977530859/1160799969457629400*c_0101_9^5 - 4970836958280907381/232159993891525880*c_0101_9^4 + 757565273026134099/232159993891525880*c_0101_9^3 + 511062638089897381/232159993891525880*c_0101_9^2 - 40858812106196323/29019999236440735*c_0101_9 - 10298415102730582/145099996182203675, c_0101_8 - 479501211844559333/464319987783051760*c_0101_9^9 - 5035119889544544881/1160799969457629400*c_0101_9^8 - 9426248243757372183/1160799969457629400*c_0101_9^7 - 6362920543864457161/1160799969457629400*c_0101_9^6 - 225393307502537187/145099996182203675*c_0101_9^5 + 160653110008604169/232159993891525880*c_0101_9^4 + 685129499907818501/232159993891525880*c_0101_9^3 - 151401238553234997/232159993891525880*c_0101_9^2 - 229549565647370283/464319987783051760*c_0101_9 - 69063119229111077/580399984728814700, c_0101_9^10 + 3288/985*c_0101_9^9 + 4108/985*c_0101_9^8 - 332/197*c_0101_9^7 - 2278/985*c_0101_9^6 + 864/985*c_0101_9^5 + 44/197*c_0101_9^4 - 60/197*c_0101_9^3 + 13/197*c_0101_9^2 - 8/985*c_0101_9 + 16/985, c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB