Magma V2.19-8 Wed Aug 21 2013 01:05:05 on localhost [Seed = 3246905688] Type ? for help. Type -D to quit. Loading file "L14n25079__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25079 geometric_solution 11.44035443 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 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 -1 0 1 -1 0 0 1 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816442899625 0.971858016286 0 5 3 6 0132 0132 2103 0132 1 0 1 1 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 1 0 0 -1 1 0 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.338573600928 0.750305579665 6 0 8 7 1023 0132 0132 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 1 0 -1 0 0 0 0 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431441878272 0.854139261390 1 9 10 0 2103 0132 0132 0132 1 0 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032786593669 1.450919333973 7 8 0 10 3201 3201 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 -3 -1 4 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 -0.545373062148 0.558659518043 9 1 11 11 0213 0132 0132 2310 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338830191421 0.980698169989 12 2 1 12 0132 1023 0132 2103 1 0 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 0 -1 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 10 12 2 4 0213 0213 0132 2310 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 1 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 0.063944845762 0.635254098571 11 11 4 2 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427404487241 2.052443974935 5 3 12 10 0213 0132 0213 3201 1 1 1 1 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 3 0 -3 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199780435768 0.880697946926 7 9 4 3 0213 2310 0132 0132 1 0 1 1 0 -1 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 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036183399817 0.694383219925 5 8 8 5 3201 1023 2310 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180185635183 0.653642092724 6 9 7 6 0132 0213 0213 2103 1 0 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 1 -1 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_11']), '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' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], '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_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_4'], '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' : negation(d['c_0011_7']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], '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_0011_0'], '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_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_7']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 735000960373971519/323302975174960*c_1100_0^11 - 6971336755660280981/323302975174960*c_1100_0^10 - 2960714763108362617/80825743793740*c_1100_0^9 + 34771360336738531289/323302975174960*c_1100_0^8 + 20313481987696949889/323302975174960*c_1100_0^7 - 75170445547939646851/323302975174960*c_1100_0^6 + 77237753653329292/20206435948435*c_1100_0^5 + 69235987197011279693/323302975174960*c_1100_0^4 - 18210454006797774001/161651487587480*c_1100_0^3 - 459892209635952697/16165148758748*c_1100_0^2 + 1689516267993981543/64660595034992*c_1100_0 - 1423824715030285309/323302975174960, c_0011_0 - 1, c_0011_10 + 416835637/247798166*c_1100_0^11 + 4239622885/247798166*c_1100_0^10 + 4742475422/123899083*c_1100_0^9 - 2084677105/35399738*c_1100_0^8 - 24271828157/247798166*c_1100_0^7 + 31719126645/247798166*c_1100_0^6 + 13518309719/123899083*c_1100_0^5 - 33157015363/247798166*c_1100_0^4 - 449306571/17699869*c_1100_0^3 + 6536758401/123899083*c_1100_0^2 + 1321493197/247798166*c_1100_0 - 1256668241/247798166, c_0011_11 - 45844935/247798166*c_1100_0^11 - 482012261/247798166*c_1100_0^10 - 587424282/123899083*c_1100_0^9 + 219234071/35399738*c_1100_0^8 + 3874846229/247798166*c_1100_0^7 - 3425446019/247798166*c_1100_0^6 - 2694199229/123899083*c_1100_0^5 + 4710947551/247798166*c_1100_0^4 + 198478634/17699869*c_1100_0^3 - 1539385821/123899083*c_1100_0^2 - 241564143/247798166*c_1100_0 + 556112923/247798166, c_0011_3 - 43251309/123899083*c_1100_0^11 - 472862981/123899083*c_1100_0^10 - 1299422349/123899083*c_1100_0^9 + 136765371/17699869*c_1100_0^8 + 4028408456/123899083*c_1100_0^7 - 2285517061/123899083*c_1100_0^6 - 6159273171/123899083*c_1100_0^5 + 3258461229/123899083*c_1100_0^4 + 555204355/17699869*c_1100_0^3 - 2920637330/123899083*c_1100_0^2 - 828012733/123899083*c_1100_0 + 546328680/123899083, c_0011_4 - 29641212/17699869*c_1100_0^11 - 300166972/17699869*c_1100_0^10 - 660661662/17699869*c_1100_0^9 + 1072993772/17699869*c_1100_0^8 + 1699512374/17699869*c_1100_0^7 - 2315491249/17699869*c_1100_0^6 - 1830497787/17699869*c_1100_0^5 + 2427527221/17699869*c_1100_0^4 + 354720811/17699869*c_1100_0^3 - 944100420/17699869*c_1100_0^2 - 37989406/17699869*c_1100_0 + 102985033/17699869, c_0011_7 + 6069601/6436316*c_1100_0^11 + 61373375/6436316*c_1100_0^10 + 33821246/1609079*c_1100_0^9 - 212029027/6436316*c_1100_0^8 - 320311255/6436316*c_1100_0^7 + 457378777/6436316*c_1100_0^6 + 78462835/1609079*c_1100_0^5 - 459127831/6436316*c_1100_0^4 - 4978939/3218158*c_1100_0^3 + 38011144/1609079*c_1100_0^2 - 2295345/6436316*c_1100_0 - 7621109/6436316, c_0101_0 - 1, c_0101_1 - 2821563/70799476*c_1100_0^11 - 48567573/70799476*c_1100_0^10 - 63501190/17699869*c_1100_0^9 - 229568391/70799476*c_1100_0^8 + 1133341409/70799476*c_1100_0^7 + 550406669/70799476*c_1100_0^6 - 549293048/17699869*c_1100_0^5 - 183615747/70799476*c_1100_0^4 + 993945123/35399738*c_1100_0^3 - 159196549/17699869*c_1100_0^2 - 357156297/70799476*c_1100_0 + 129935295/70799476, c_0101_11 + 136174653/247798166*c_1100_0^11 + 1470985655/247798166*c_1100_0^10 + 1979414389/123899083*c_1100_0^9 - 419494875/35399738*c_1100_0^8 - 11075072929/247798166*c_1100_0^7 + 6281109223/247798166*c_1100_0^6 + 7824353406/123899083*c_1100_0^5 - 7402269165/247798166*c_1100_0^4 - 619068345/17699869*c_1100_0^3 + 2588199420/123899083*c_1100_0^2 + 2081306679/247798166*c_1100_0 - 674687521/247798166, c_0101_2 - 4471965/247798166*c_1100_0^11 - 117236351/247798166*c_1100_0^10 - 421372601/123899083*c_1100_0^9 - 227553251/35399738*c_1100_0^8 + 2494522523/247798166*c_1100_0^7 + 4236193413/247798166*c_1100_0^6 - 2373463419/123899083*c_1100_0^5 - 4902443011/247798166*c_1100_0^4 + 296985784/17699869*c_1100_0^3 + 638459152/123899083*c_1100_0^2 - 1157630141/247798166*c_1100_0 - 444540751/247798166, c_0101_8 + 216874435/247798166*c_1100_0^11 + 2253275375/247798166*c_1100_0^10 + 2708857843/123899083*c_1100_0^9 - 927877843/35399738*c_1100_0^8 - 14116269191/247798166*c_1100_0^7 + 14188022047/247798166*c_1100_0^6 + 8674766532/123899083*c_1100_0^5 - 15261632753/247798166*c_1100_0^4 - 436627261/17699869*c_1100_0^3 + 3632468698/123899083*c_1100_0^2 + 1582457957/247798166*c_1100_0 - 761190139/247798166, c_1001_0 + 69638643/123899083*c_1100_0^11 + 683675640/123899083*c_1100_0^10 + 1337716400/123899083*c_1100_0^9 - 422915407/17699869*c_1100_0^8 - 3090341168/123899083*c_1100_0^7 + 6671982175/123899083*c_1100_0^6 + 2375292827/123899083*c_1100_0^5 - 7142656932/123899083*c_1100_0^4 + 152532669/17699869*c_1100_0^3 + 2640036698/123899083*c_1100_0^2 - 511643085/123899083*c_1100_0 - 363109654/123899083, c_1100_0^12 + 10*c_1100_0^11 + 21*c_1100_0^10 - 39*c_1100_0^9 - 52*c_1100_0^8 + 88*c_1100_0^7 + 51*c_1100_0^6 - 95*c_1100_0^5 + c_1100_0^4 + 38*c_1100_0^3 - 5*c_1100_0^2 - 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB