Magma V2.19-8 Tue Aug 20 2013 23:45:36 on localhost [Seed = 3970599185] Type ? for help. Type -D to quit. Loading file "K13n4084__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4084 geometric_solution 10.52997983 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 1 -1 0 -6 0 0 6 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156179153241 0.979855876534 0 5 5 6 0132 0132 1302 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082170614756 0.706037140883 4 0 7 5 0213 0132 0132 0213 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 -1 1 0 0 0 1 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362415071893 0.810182945945 8 9 8 0 0132 0132 2310 0132 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 -1 1 0 0 0 0 7 -7 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634471196440 0.731101751337 2 10 0 11 0213 0132 0132 0132 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 0 0 0 0 0 -6 6 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418918311638 1.461504100941 1 1 10 2 2031 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837363350327 1.397427967148 8 7 1 10 2103 0132 0132 1230 0 0 0 0 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 6 -6 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326788148160 2.203532232345 8 6 11 2 3012 0132 1302 0132 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 1 -1 1 0 0 -1 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502242157744 0.617026019316 3 3 6 7 0132 3201 2103 1230 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 1 0 -1 0 0 0 0 -1 1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711481151791 0.528023201666 11 3 10 11 3201 0132 0321 0321 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 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416371713255 1.045639523487 6 4 9 5 3012 0132 0321 0132 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 0 0 0 0 0.543027895756 0.337360658122 7 9 4 9 2031 0321 0132 2310 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 -1 0 -6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341058084826 0.315263780045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : 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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 55611/2132*c_1001_2^5 + 26214/533*c_1001_2^4 - 528033/2132*c_1001_2^3 + 212007/1066*c_1001_2^2 + 243879/2132*c_1001_2 + 7148/533, c_0011_0 - 1, c_0011_10 - c_1001_2 + 1, c_0011_11 - 1/4*c_1001_2^4 + 1/2*c_1001_2^3 - 11/4*c_1001_2^2 + 5/2*c_1001_2 - 1/4, c_0011_3 - 1/2*c_1001_2^5 + 5/4*c_1001_2^4 - 11/2*c_1001_2^3 + 27/4*c_1001_2^2 - 2*c_1001_2 - 1/4, c_0011_6 - 1/4*c_1001_2^5 + 3/4*c_1001_2^4 - 13/4*c_1001_2^3 + 21/4*c_1001_2^2 - 15/4*c_1001_2 + 1/4, c_0101_0 - 1/2*c_1001_2^4 + c_1001_2^3 - 5*c_1001_2^2 + 9/2*c_1001_2, c_0101_10 - 1/2*c_1001_2^5 + c_1001_2^4 - 5*c_1001_2^3 + 9/2*c_1001_2^2, c_0101_11 - 1/4*c_1001_2^4 + 1/2*c_1001_2^3 - 9/4*c_1001_2^2 + 2*c_1001_2 + 1/4, c_0101_5 - c_1001_2 - 1, c_1001_0 - 1/4*c_1001_2^4 + 1/2*c_1001_2^3 - 9/4*c_1001_2^2 + 2*c_1001_2 + 1/4, c_1001_10 - 1/4*c_1001_2^4 + 1/2*c_1001_2^3 - 11/4*c_1001_2^2 + 5/2*c_1001_2 - 1/4, c_1001_2^6 - 3*c_1001_2^5 + 12*c_1001_2^4 - 19*c_1001_2^3 + 8*c_1001_2^2 + c_1001_2 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2514076748487274055/864861143751*c_1001_2^13 - 1036914817517062741/192191365278*c_1001_2^12 - 13189617569557136335/864861143751*c_1001_2^11 + 17134703784257794649/1729722287502*c_1001_2^10 - 15702789134062214564/864861143751*c_1001_2^9 + 19991611517998699492/864861143751*c_1001_2^8 - 22415261004107413883/576574095834*c_1001_2^7 + 29418411165814656617/864861143751*c_1001_2^6 - 812423810463918346/26207913447*c_1001_2^5 + 51976803146751336875/1729722287502*c_1001_2^4 - 2076660159810471421/78623740341*c_1001_2^3 + 31459249692806146219/1729722287502*c_1001_2^2 - 6403069147594557634/864861143751*c_1001_2 + 1102579225208660725/864861143751, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_11 + 498595165/6725151*c_1001_2^13 + 286829477/2241717*c_1001_2^12 + 2458828421/6725151*c_1001_2^11 - 2124995771/6725151*c_1001_2^10 + 3102682063/6725151*c_1001_2^9 - 4356937373/6725151*c_1001_2^8 + 2322032471/2241717*c_1001_2^7 - 6510933997/6725151*c_1001_2^6 + 1893859052/2241717*c_1001_2^5 - 5601718589/6725151*c_1001_2^4 + 4931501623/6725151*c_1001_2^3 - 3456802576/6725151*c_1001_2^2 + 1466837432/6725151*c_1001_2 - 251963420/6725151, c_0011_3 + 22941205/6725151*c_1001_2^13 + 29079449/2241717*c_1001_2^12 + 214041626/6725151*c_1001_2^11 + 173407660/6725151*c_1001_2^10 + 36883435/6725151*c_1001_2^9 + 28723765/6725151*c_1001_2^8 - 5188300/2241717*c_1001_2^7 + 209341073/6725151*c_1001_2^6 - 47677585/2241717*c_1001_2^5 + 95562454/6725151*c_1001_2^4 - 157087874/6725151*c_1001_2^3 + 138853547/6725151*c_1001_2^2 - 124668208/6725151*c_1001_2 + 41870947/6725151, c_0011_6 - 193277635/2241717*c_1001_2^13 - 371457064/2241717*c_1001_2^12 - 346992523/747239*c_1001_2^11 + 585224543/2241717*c_1001_2^10 - 1181949974/2241717*c_1001_2^9 + 489027442/747239*c_1001_2^8 - 833930115/747239*c_1001_2^7 + 2116878742/2241717*c_1001_2^6 - 1949446874/2241717*c_1001_2^5 + 632252977/747239*c_1001_2^4 - 1654934791/2241717*c_1001_2^3 + 374023096/747239*c_1001_2^2 - 436791290/2241717*c_1001_2 + 23115827/747239, c_0101_0 - 739727030/6725151*c_1001_2^13 - 445275469/2241717*c_1001_2^12 - 3786341923/6725151*c_1001_2^11 + 2776086403/6725151*c_1001_2^10 - 4584687656/6725151*c_1001_2^9 + 6103998013/6725151*c_1001_2^8 - 3349266409/2241717*c_1001_2^7 + 9036159374/6725151*c_1001_2^6 - 2686101919/2241717*c_1001_2^5 + 7903359148/6725151*c_1001_2^4 - 6938849108/6725151*c_1001_2^3 + 4808225627/6725151*c_1001_2^2 - 1982374534/6725151*c_1001_2 + 346119475/6725151, c_0101_10 + 90039680/6725151*c_1001_2^13 + 36253564/2241717*c_1001_2^12 + 353025913/6725151*c_1001_2^11 - 629593768/6725151*c_1001_2^10 + 717017996/6725151*c_1001_2^9 - 1006812178/6725151*c_1001_2^8 + 542772463/2241717*c_1001_2^7 - 1720754333/6725151*c_1001_2^6 + 501911332/2241717*c_1001_2^5 - 1395528289/6725151*c_1001_2^4 + 1322454446/6725151*c_1001_2^3 - 965103287/6725151*c_1001_2^2 + 498136729/6725151*c_1001_2 - 113138728/6725151, c_0101_11 - 84502420/2241717*c_1001_2^13 - 49116196/747239*c_1001_2^12 - 416988233/2241717*c_1001_2^11 + 360623519/2241717*c_1001_2^10 - 498038977/2241717*c_1001_2^9 + 744980825/2241717*c_1001_2^8 - 383645575/747239*c_1001_2^7 + 1081233103/2241717*c_1001_2^6 - 309483802/747239*c_1001_2^5 + 935337062/2241717*c_1001_2^4 - 808002739/2241717*c_1001_2^3 + 566642338/2241717*c_1001_2^2 - 233748461/2241717*c_1001_2 + 38443802/2241717, c_0101_5 + 5*c_1001_2^13 + 7*c_1001_2^12 + 22*c_1001_2^11 - 29*c_1001_2^10 + 39*c_1001_2^9 - 54*c_1001_2^8 + 85*c_1001_2^7 - 89*c_1001_2^6 + 80*c_1001_2^5 - 76*c_1001_2^4 + 69*c_1001_2^3 - 52*c_1001_2^2 + 26*c_1001_2 - 7, c_1001_0 - 35905530/747239*c_1001_2^13 - 68753482/747239*c_1001_2^12 - 192041333/747239*c_1001_2^11 + 112419502/747239*c_1001_2^10 - 213548594/747239*c_1001_2^9 + 277648502/747239*c_1001_2^8 - 457268540/747239*c_1001_2^7 + 396442850/747239*c_1001_2^6 - 355273217/747239*c_1001_2^5 + 352646828/747239*c_1001_2^4 - 303094179/747239*c_1001_2^3 + 208144209/747239*c_1001_2^2 - 79197285/747239*c_1001_2 + 11786051/747239, c_1001_10 - 142256260/6725151*c_1001_2^13 - 82877693/2241717*c_1001_2^12 - 694938200/6725151*c_1001_2^11 + 625297661/6725151*c_1001_2^10 - 779424712/6725151*c_1001_2^9 + 1262378630/6725151*c_1001_2^8 - 628808147/2241717*c_1001_2^7 + 1780853977/6725151*c_1001_2^6 - 497189312/2241717*c_1001_2^5 + 1548068474/6725151*c_1001_2^4 - 1313990569/6725151*c_1001_2^3 + 916244536/6725151*c_1001_2^2 - 368857085/6725151*c_1001_2 + 55289693/6725151, c_1001_2^14 + 7/5*c_1001_2^13 + 22/5*c_1001_2^12 - 29/5*c_1001_2^11 + 39/5*c_1001_2^10 - 54/5*c_1001_2^9 + 17*c_1001_2^8 - 89/5*c_1001_2^7 + 16*c_1001_2^6 - 76/5*c_1001_2^5 + 69/5*c_1001_2^4 - 52/5*c_1001_2^3 + 27/5*c_1001_2^2 - 8/5*c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.880 Total time: 2.089 seconds, Total memory usage: 32.09MB