Magma V2.19-8 Wed Aug 21 2013 00:55:24 on localhost [Seed = 408814180] Type ? for help. Type -D to quit. Loading file "L13a5197__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5197 geometric_solution 10.59077894 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 1 0 3012 0132 1023 1230 2 2 2 2 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 0 1.668532738408 0.266974517250 2 0 0 3 0132 0132 1023 0132 2 2 2 2 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 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 1.207101781422 0.690153435122 1 4 5 3 0132 0132 0132 2031 0 2 2 2 0 0 0 0 0 0 0 0 0 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 0.422543428127 0.476212262501 6 2 1 7 0132 1302 0132 0132 2 2 0 2 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 0 0 0 0 0 0 1 -1 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 0.429637631145 1.304574301813 7 2 9 8 3201 0132 0132 0132 0 2 2 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 1 0 -1 -1 0 1 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 0.064412958822 1.022208540553 6 10 11 2 3120 0132 0132 0132 0 2 2 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238089941376 0.587727415924 3 12 11 5 0132 0132 2310 3120 0 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 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 0.412696647125 0.195909138641 11 11 3 4 0132 1230 0132 2310 2 2 2 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 0 0 0 0 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 0.215239226856 0.423161670590 9 10 4 10 0132 0213 0132 2310 0 2 1 2 0 0 1 -1 0 0 0 0 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 0 1 -1 -1 0 0 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 0.469299658750 0.487202444928 8 12 12 4 0132 2031 0321 0132 0 2 2 1 0 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 1 0 0 -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 0.974451371725 1.064671132338 8 5 8 12 3201 0132 0213 2103 0 1 0 2 0 0 0 0 1 0 -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 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469299658750 0.487202444928 7 6 7 5 0132 3201 3012 0132 0 2 0 2 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045052263157 1.877433242776 9 6 9 10 1302 0132 0321 2103 0 1 0 2 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 -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 0.022526131579 0.938716621388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : 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' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(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_1001_7']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0110_10']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_0'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0101_12' : d['c_0011_8'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_2'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_10, c_1001_10, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 148139689525104927789167/161830778343797227500*c_1001_7^7 + 34009392035255163313037/26971796390632871250*c_1001_7^6 - 549037397668514888841/8990598796877623750*c_1001_7^5 - 29320252233675852610717/32366155668759445500*c_1001_7^4 - 14192302156136004229853/161830778343797227500*c_1001_7^3 + 13868839775523789178219/32366155668759445500*c_1001_7^2 + 6954190966169971222333/14711888940345202500*c_1001_7 + 1509166053989947696892/8091538917189861375, c_0011_0 - 1, c_0011_10 + 78733083709372883/70117321639426875*c_1001_7^7 - 8040158430186224/23372440546475625*c_1001_7^6 - 13271450865415868/7790813515491875*c_1001_7^5 - 4315868632666483/14023464327885375*c_1001_7^4 + 86871494769902653/70117321639426875*c_1001_7^3 - 6827693803720019/14023464327885375*c_1001_7^2 - 14026544436950713/70117321639426875*c_1001_7 - 1029768029627588/1274860393444125, c_0011_11 + 152025132796740406/70117321639426875*c_1001_7^7 + 24250609723114463/15581627030983750*c_1001_7^6 - 28599363437726153/23372440546475625*c_1001_7^5 - 15440787691761356/14023464327885375*c_1001_7^4 + 198870599234076217/140234643278853750*c_1001_7^3 + 14859909057553759/28046928655770750*c_1001_7^2 + 84724657572819443/140234643278853750*c_1001_7 + 171567650690443/2549720786888250, c_0011_12 - 157466167418745766/70117321639426875*c_1001_7^7 + 16080316860372448/23372440546475625*c_1001_7^6 + 26542901730831736/7790813515491875*c_1001_7^5 + 8631737265332966/14023464327885375*c_1001_7^4 - 173742989539805306/70117321639426875*c_1001_7^3 + 13655387607440038/14023464327885375*c_1001_7^2 + 28053088873901426/70117321639426875*c_1001_7 + 784675665811051/1274860393444125, c_0011_8 - 1, c_0101_0 + 46796020346454239/23372440546475625*c_1001_7^7 - 38047671016474277/46744881092951250*c_1001_7^6 - 68645894348898946/23372440546475625*c_1001_7^5 - 2920826268266388/1558162703098375*c_1001_7^4 + 95836383410084423/46744881092951250*c_1001_7^3 + 6242638729710007/3116325406196750*c_1001_7^2 - 13653286911585383/46744881092951250*c_1001_7 - 486206344868461/283302309654250, c_0101_1 + 2966580629077079/529187333127750*c_1001_7^7 + 524313274543769/88197888854625*c_1001_7^6 - 235250246464942/29399296284875*c_1001_7^5 - 1022905219065229/105837466625550*c_1001_7^4 + 3059918796905089/529187333127750*c_1001_7^3 + 732642298763053/105837466625550*c_1001_7^2 - 472703898062119/529187333127750*c_1001_7 - 10180299764572/4810793937525, c_0101_11 + 9216706927949101/46744881092951250*c_1001_7^7 - 197157118352198117/23372440546475625*c_1001_7^6 - 191661271746311282/23372440546475625*c_1001_7^5 + 50478021673727699/9348976218590250*c_1001_7^4 + 337952067357748541/46744881092951250*c_1001_7^3 - 45267978641038943/9348976218590250*c_1001_7^2 - 186871320299734361/46744881092951250*c_1001_7 - 450383909868493/424953464481375, c_0101_2 - 2599387791976047289/140234643278853750*c_1001_7^7 - 147780196511129693/7790813515491875*c_1001_7^6 + 390757157040842566/23372440546475625*c_1001_7^5 + 608751498035717339/28046928655770750*c_1001_7^4 - 1800910942685293199/140234643278853750*c_1001_7^3 - 389604924198321923/28046928655770750*c_1001_7^2 + 138252892220037179/140234643278853750*c_1001_7 + 2849497755363152/1274860393444125, c_0110_10 - 89054476586803/176395777709250*c_1001_7^7 + 10183092449351/88197888854625*c_1001_7^6 + 70130363707346/88197888854625*c_1001_7^5 + 2998624622803/35279155541850*c_1001_7^4 - 106362542348123/176395777709250*c_1001_7^3 - 32992392388921/35279155541850*c_1001_7^2 + 19573693738583/176395777709250*c_1001_7 - 171015481721/1603597979175, c_1001_10 - 1, c_1001_5 - 9321582561633307/12748603934441250*c_1001_7^7 + 725887123921673/2124767322406875*c_1001_7^6 + 723486849853186/708255774135625*c_1001_7^5 + 919250436843707/2549720786888250*c_1001_7^4 - 8528301416303387/12748603934441250*c_1001_7^3 - 562734869147849/2549720786888250*c_1001_7^2 + 856628925571127/12748603934441250*c_1001_7 - 82312803728489/1274860393444125, c_1001_7^8 + 1397/1393*c_1001_7^7 - 933/1393*c_1001_7^6 - 1291/1393*c_1001_7^5 + 768/1393*c_1001_7^4 + 107/199*c_1001_7^3 + 117/1393*c_1001_7^2 - 2/199*c_1001_7 + 55/1393 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB