Magma V2.19-8 Wed Aug 21 2013 01:04:53 on localhost [Seed = 442237559] Type ? for help. Type -D to quit. Loading file "L14n24774__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24774 geometric_solution 11.72533191 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 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 0 -1 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 0.805399568919 1.000970757613 0 4 0 5 0132 0132 3012 0132 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 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 0.512059712199 0.606424411433 5 6 7 0 0132 0132 0132 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 -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 0.494673379252 0.943897477873 4 4 0 8 0132 1302 0132 0132 1 1 1 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 0 0 0 0 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243047777046 0.613467269934 3 1 5 3 0132 0132 3012 2031 1 1 0 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 0 1 0 0 1 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797363599619 0.646218421414 2 4 1 8 0132 1230 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 -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 1.802745006695 0.537743072030 8 2 9 10 1230 0132 0132 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 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 0.778371072811 0.653680501798 10 9 11 2 0132 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 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 0 -6 6 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423100720542 0.620174760766 5 6 3 11 3012 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178022702984 2.101469647280 12 11 7 6 0132 3012 3012 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045697093814 0.900772529998 7 12 6 12 0132 1302 0132 0321 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 -5 0 0 5 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500316674635 0.592535987261 9 12 8 7 1230 3201 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 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556574216156 0.423023840589 9 10 11 10 0132 0321 2310 2031 1 1 1 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739102783494 0.776246940771 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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_1100_9' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_0101_11'], '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_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], '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_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_8']})} 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_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_4, c_0101_9, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1152831384481507761458713/31891414539880268100*c_1100_0^7 + 492945332289596148636391537/988633850736288311100*c_1100_0^6 - 631767232471161804392799839/988633850736288311100*c_1100_0^5 + 218337402521485180830417063/109848205637365367900*c_1100_0^4 - 626022484587165517218405863/494316925368144155550*c_1100_0^3 + 452367180767259922652397803/329544616912096103700*c_1100_0^2 - 13769138492095114949319587/54924102818682683950*c_1100_0 + 4695770202686578734220009/247158462684072077775, c_0011_0 - 1, c_0011_10 - 446831511197/382300757973*c_1100_0^7 - 187055437197812/11851323497163*c_1100_0^6 + 300649666557838/11851323497163*c_1100_0^5 - 91688299961045/1316813721907*c_1100_0^4 + 702295843674242/11851323497163*c_1100_0^3 - 214397403707300/3950441165721*c_1100_0^2 + 81228794937224/3950441165721*c_1100_0 - 18677979963026/11851323497163, c_0011_12 - 2691529479574/382300757973*c_1100_0^7 - 1150503699213082/11851323497163*c_1100_0^6 + 1480631170854623/11851323497163*c_1100_0^5 - 510004408276852/1316813721907*c_1100_0^4 + 2928800228122711/11851323497163*c_1100_0^3 - 350649548976105/1316813721907*c_1100_0^2 + 187836313870298/3950441165721*c_1100_0 - 33252782100859/11851323497163, c_0011_2 - 87314028806/42477861997*c_1100_0^7 - 112636073151289/3950441165721*c_1100_0^6 + 134767679200822/3950441165721*c_1100_0^5 - 145463971580611/1316813721907*c_1100_0^4 + 83841958060885/1316813721907*c_1100_0^3 - 290962118612378/3950441165721*c_1100_0^2 + 36833754424315/3950441165721*c_1100_0 - 1540373470592/3950441165721, c_0011_8 - 330206411194/127433585991*c_1100_0^7 - 140861078062838/3950441165721*c_1100_0^6 + 61852073251691/1316813721907*c_1100_0^5 - 189618742387261/1316813721907*c_1100_0^4 + 376147369817125/3950441165721*c_1100_0^3 - 400111207228838/3950441165721*c_1100_0^2 + 79174883793157/3950441165721*c_1100_0 - 2554399019692/1316813721907, c_0101_0 - 1, c_0101_1 - 715486497982/382300757973*c_1100_0^7 - 303681567065356/11851323497163*c_1100_0^6 + 423125126325716/11851323497163*c_1100_0^5 - 140131242194138/1316813721907*c_1100_0^4 + 899108957783035/11851323497163*c_1100_0^3 - 102891640784119/1316813721907*c_1100_0^2 + 74064806256689/3950441165721*c_1100_0 - 22299928446727/11851323497163, c_0101_11 + 275132735600/382300757973*c_1100_0^7 + 118901667123158/11851323497163*c_1100_0^6 - 133543532939503/11851323497163*c_1100_0^5 + 49487500193123/1316813721907*c_1100_0^4 - 229333151668340/11851323497163*c_1100_0^3 + 91436284876481/3950441165721*c_1100_0^2 - 5110077536468/3950441165721*c_1100_0 - 11161660766662/11851323497163, c_0101_12 - 510693523654/382300757973*c_1100_0^7 - 7064727494539/382300757973*c_1100_0^6 + 8734177569773/382300757973*c_1100_0^5 - 3096015206048/42477861997*c_1100_0^4 + 16943370028375/382300757973*c_1100_0^3 - 2145439072429/42477861997*c_1100_0^2 + 1150778001728/127433585991*c_1100_0 - 509121973498/382300757973, c_0101_4 + 1060958994854/382300757973*c_1100_0^7 + 456809886577025/11851323497163*c_1100_0^6 - 537846570541969/11851323497163*c_1100_0^5 + 194951471773734/1316813721907*c_1100_0^4 - 983910774216305/11851323497163*c_1100_0^3 + 382398403488859/3950441165721*c_1100_0^2 - 13981277320261/1316813721907*c_1100_0 + 5310783142277/11851323497163, c_0101_9 + 330206411194/127433585991*c_1100_0^7 + 140861078062838/3950441165721*c_1100_0^6 - 61852073251691/1316813721907*c_1100_0^5 + 189618742387261/1316813721907*c_1100_0^4 - 376147369817125/3950441165721*c_1100_0^3 + 400111207228838/3950441165721*c_1100_0^2 - 83125324958878/3950441165721*c_1100_0 + 2554399019692/1316813721907, c_1001_12 + 2293616765305/382300757973*c_1100_0^7 + 981773543228704/11851323497163*c_1100_0^6 - 1242799274702273/11851323497163*c_1100_0^5 + 432103743315390/1316813721907*c_1100_0^4 - 2440784240438512/11851323497163*c_1100_0^3 + 887757925808537/3950441165721*c_1100_0^2 - 52018646718867/1316813721907*c_1100_0 + 28609883517079/11851323497163, c_1100_0^8 + 426/31*c_1100_0^7 - 570/31*c_1100_0^6 + 1733/31*c_1100_0^5 - 1174/31*c_1100_0^4 + 1234/31*c_1100_0^3 - 276/31*c_1100_0^2 + 28/31*c_1100_0 - 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.620 Total time: 0.820 seconds, Total memory usage: 32.09MB