Magma V2.19-8 Wed Aug 21 2013 00:57:37 on localhost [Seed = 1882614465] Type ? for help. Type -D to quit. Loading file "L13n4372__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4372 geometric_solution 11.74184657 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2103 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 1 -1 4 0 1 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781407382325 0.684513948406 0 4 5 0 0132 0132 0132 2103 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 -4 0 -1 5 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781407382325 0.684513948406 6 0 4 7 0132 0132 3120 0132 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 6 0 -6 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 0.440881816554 0.450376601468 5 8 5 0 0132 0132 3120 0132 1 0 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 -5 6 -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 0.259024138403 0.843909178614 5 1 2 6 1302 0132 3120 2031 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 -6 0 6 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 0.739737483287 0.237161828582 3 4 3 1 0132 2031 3120 0132 1 0 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 0 0 0 0 -1 1 0 1 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259024138403 0.843909178614 2 4 9 10 0132 1302 0132 0132 1 1 1 1 0 0 1 -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 0 0 5 -5 -6 0 0 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595183266126 0.903598666952 10 11 2 8 3012 0132 0132 2310 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393577343546 1.120693741787 7 3 12 9 3201 0132 0132 0321 1 1 1 1 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 5 0 -5 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341649839368 0.497576193162 10 8 12 6 1023 0321 2103 0132 1 1 1 1 0 1 0 -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 5 0 -5 5 0 -5 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287389351609 0.392351979363 11 9 6 7 2103 1023 0132 1230 1 1 1 1 0 -1 1 0 0 0 -1 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 -5 5 0 0 0 -6 6 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163166162547 0.963205103082 12 7 10 12 2103 0132 2103 0321 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 0 0 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 -0.018237405602 0.603018043001 9 11 11 8 2103 0321 2103 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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187174488071 0.685514361076 ==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' : d['c_0101_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0101_6'], 's_3_11' : d['1'], 's_0_11' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0110_4'], 'c_1100_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : d['c_0101_10']})} 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_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_0110_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 97334044924856001/46263209215630*c_1001_2^15 - 219110835034550132/4626320921563*c_1001_2^14 - 11411690988901130889/23131604607815*c_1001_2^13 - 146671479187497762939/46263209215630*c_1001_2^12 - 327013746738505790281/23131604607815*c_1001_2^11 - 2155873406577870163381/46263209215630*c_1001_2^10 - 545596935906685383143/4626320921563*c_1001_2^9 - 5422922941718643099613/23131604607815*c_1001_2^8 - 1714637554412115132971/4626320921563*c_1001_2^7 - 21641095292631997439013/46263209215630*c_1001_2^6 - 21710500216706648591043/46263209215630*c_1001_2^5 - 17067287303280726305513/46263209215630*c_1001_2^4 - 5110050241768669214803/23131604607815*c_1001_2^3 - 4421160261352062996587/46263209215630*c_1001_2^2 - 1241440722958581564939/46263209215630*c_1001_2 - 85704397562941783011/23131604607815, c_0011_0 - 1, c_0011_10 + c_1001_2^14 + 41/2*c_1001_2^13 + 389/2*c_1001_2^12 + 2277/2*c_1001_2^11 + 4621*c_1001_2^10 + 13839*c_1001_2^9 + 63409/2*c_1001_2^8 + 113421/2*c_1001_2^7 + 159861/2*c_1001_2^6 + 177433/2*c_1001_2^5 + 76677*c_1001_2^4 + 100593/2*c_1001_2^3 + 23814*c_1001_2^2 + 7337*c_1001_2 + 2237/2, c_0011_11 + 3/2*c_1001_2^15 + 33*c_1001_2^14 + 675/2*c_1001_2^13 + 2139*c_1001_2^12 + 18887/2*c_1001_2^11 + 61839/2*c_1001_2^10 + 77922*c_1001_2^9 + 309125/2*c_1001_2^8 + 488433/2*c_1001_2^7 + 308492*c_1001_2^6 + 310123*c_1001_2^5 + 489189/2*c_1001_2^4 + 294257/2*c_1001_2^3 + 128053/2*c_1001_2^2 + 36237/2*c_1001_2 + 5053/2, c_0011_12 + 3/2*c_1001_2^14 + 30*c_1001_2^13 + 277*c_1001_2^12 + 3151/2*c_1001_2^11 + 6210*c_1001_2^10 + 36125/2*c_1001_2^9 + 40208*c_1001_2^8 + 69923*c_1001_2^7 + 95867*c_1001_2^6 + 207091/2*c_1001_2^5 + 174191/2*c_1001_2^4 + 111149/2*c_1001_2^3 + 25561*c_1001_2^2 + 15253/2*c_1001_2 + 2237/2, c_0011_3 - 1/2*c_1001_2^13 - 19/2*c_1001_2^12 - 165/2*c_1001_2^11 - 437*c_1001_2^10 - 1589*c_1001_2^9 - 8447/2*c_1001_2^8 - 17005/2*c_1001_2^7 - 26405/2*c_1001_2^6 - 31789/2*c_1001_2^5 - 14729*c_1001_2^4 - 20533/2*c_1001_2^3 - 5128*c_1001_2^2 - 1655*c_1001_2 - 521/2, c_0101_0 - 1, c_0101_1 - c_1001_2^15 - 23*c_1001_2^14 - 245*c_1001_2^13 - 1611*c_1001_2^12 - 7352*c_1001_2^11 - 24802*c_1001_2^10 - 64232*c_1001_2^9 - 130664*c_1001_2^8 - 211425*c_1001_2^7 - 273243*c_1001_2^6 - 280917*c_1001_2^5 - 226613*c_1001_2^4 - 139535*c_1001_2^3 - 62271*c_1001_2^2 - 18136*c_1001_2 - 2622, c_0101_10 + 1/2*c_1001_2^14 + 10*c_1001_2^13 + 92*c_1001_2^12 + 1039/2*c_1001_2^11 + 2026*c_1001_2^10 + 11625/2*c_1001_2^9 + 12726*c_1001_2^8 + 21705*c_1001_2^7 + 29097*c_1001_2^6 + 61247/2*c_1001_2^5 + 49991/2*c_1001_2^4 + 30789/2*c_1001_2^3 + 6784*c_1001_2^2 + 3833/2*c_1001_2 + 521/2, c_0101_6 - 1/2*c_1001_2^15 - 11*c_1001_2^14 - 225/2*c_1001_2^13 - 713*c_1001_2^12 - 6295/2*c_1001_2^11 - 20603/2*c_1001_2^10 - 25940*c_1001_2^9 - 102761/2*c_1001_2^8 - 162019/2*c_1001_2^7 - 102020*c_1001_2^6 - 102137*c_1001_2^5 - 160229/2*c_1001_2^4 - 95679/2*c_1001_2^3 - 41225/2*c_1001_2^2 - 11499/2*c_1001_2 - 1565/2, c_0101_8 - c_1001_2^15 - 45/2*c_1001_2^14 - 235*c_1001_2^13 - 1518*c_1001_2^12 - 13631/2*c_1001_2^11 - 22644*c_1001_2^10 - 115587/2*c_1001_2^9 - 115896*c_1001_2^8 - 184848*c_1001_2^7 - 235365*c_1001_2^6 - 476347/2*c_1001_2^5 - 377643/2*c_1001_2^4 - 227977/2*c_1001_2^3 - 49687*c_1001_2^2 - 28091/2*c_1001_2 - 3895/2, c_0110_4 - 1/2*c_1001_2^13 - 19/2*c_1001_2^12 - 165/2*c_1001_2^11 - 437*c_1001_2^10 - 1589*c_1001_2^9 - 8447/2*c_1001_2^8 - 17005/2*c_1001_2^7 - 26405/2*c_1001_2^6 - 31789/2*c_1001_2^5 - 14729*c_1001_2^4 - 20533/2*c_1001_2^3 - 5128*c_1001_2^2 - 1656*c_1001_2 - 523/2, c_1001_0 + c_1001_2^2 + 2*c_1001_2 + 1, c_1001_2^16 + 24*c_1001_2^15 + 268*c_1001_2^14 + 1856*c_1001_2^13 + 8963*c_1001_2^12 + 32154*c_1001_2^11 + 89034*c_1001_2^10 + 194896*c_1001_2^9 + 342089*c_1001_2^8 + 484668*c_1001_2^7 + 554160*c_1001_2^6 + 507530*c_1001_2^5 + 366148*c_1001_2^4 + 201806*c_1001_2^3 + 80407*c_1001_2^2 + 20758*c_1001_2 + 2623 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.940 seconds, Total memory usage: 32.09MB