Magma V2.19-8 Tue Aug 20 2013 23:52:12 on localhost [Seed = 4055341766] Type ? for help. Type -D to quit. Loading file "L13n1566__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1566 geometric_solution 11.60318623 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 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 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 0.699962362162 0.623218240627 0 4 5 4 0132 0132 0132 1230 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 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 0.519423492880 0.595855997196 0 0 7 6 2031 0132 0132 0132 0 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 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 0.203092469130 0.709534306670 8 9 0 9 0132 0132 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766496394909 0.421344190497 1 1 10 7 3012 0132 0132 0132 0 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 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 0.820099019556 1.016822320394 6 9 10 1 3120 0213 3120 0132 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805251277563 1.165202777320 8 8 2 5 3120 1230 0132 3120 0 0 0 1 0 0 -1 1 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 1 0 0 -1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712950220761 0.744270839997 11 9 4 2 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.597002880274 0.848194781415 3 11 6 6 0132 0213 3012 3120 1 0 0 0 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 -1 7 -6 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 0.712950220761 0.744270839997 3 3 5 7 3201 0132 0213 0321 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 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 -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 0.716570766408 1.192651629925 11 11 5 4 3201 2103 3120 0132 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 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 0.685704071915 0.918511857710 7 10 8 10 0132 2103 0213 2310 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 1 -1 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 0.478097249714 0.699097299175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_4']), 'c_1010_10' : d['c_0101_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(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_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : 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' : negation(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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_6'])})} 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_5, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12052635243432940354748299/459367951370900034563880*c_1001_2^9 - 81667752850996263010933589/367494361096720027651104*c_1001_2^8 - 2361439770429585077841123661/1837471805483600138255520*c_1001_2^7 - 8889437958823314605752243/2436965259262069148880*c_1001_2^6 - 6816397269548530769162480117/1837471805483600138255520*c_1001_2^5 + 620655728971910570310181165/91873590274180006912776*c_1001_2^4 + 2685288124958618094629166761/306245300913933356375920*c_1001_2^3 - 51942870565207582034019461/8833999064825000664690*c_1001_2^2 - 2006235181846929696042120071/306245300913933356375920*c_1001_2 + 182587402958593669703158118/57420993921362504320485, c_0011_0 - 1, c_0011_10 + 4026144885/176748255206*c_1001_2^9 + 17094282705/88374127603*c_1001_2^8 + 99158979861/88374127603*c_1001_2^7 + 283626356761/88374127603*c_1001_2^6 + 601688519733/176748255206*c_1001_2^5 - 958288093637/176748255206*c_1001_2^4 - 623551473949/88374127603*c_1001_2^3 + 456021564830/88374127603*c_1001_2^2 + 433918027749/88374127603*c_1001_2 - 272552726726/88374127603, c_0011_11 + 409110630/88374127603*c_1001_2^9 + 3894285507/88374127603*c_1001_2^8 + 24058696328/88374127603*c_1001_2^7 + 80558812637/88374127603*c_1001_2^6 + 134820926758/88374127603*c_1001_2^5 + 1597447223/88374127603*c_1001_2^4 - 162722997046/88374127603*c_1001_2^3 - 24868068895/88374127603*c_1001_2^2 + 140572637752/88374127603*c_1001_2 - 19717629883/88374127603, c_0011_3 - 1865480195/88374127603*c_1001_2^9 - 15811906600/88374127603*c_1001_2^8 - 91493056752/88374127603*c_1001_2^7 - 260798469786/88374127603*c_1001_2^6 - 271016814026/88374127603*c_1001_2^5 + 449806542751/88374127603*c_1001_2^4 + 570108055754/88374127603*c_1001_2^3 - 437785506072/88374127603*c_1001_2^2 - 441726997300/88374127603*c_1001_2 + 252968075633/88374127603, c_0011_5 - 2160664690/88374127603*c_1001_2^9 - 18376658810/88374127603*c_1001_2^8 - 106824902970/88374127603*c_1001_2^7 - 306454243736/88374127603*c_1001_2^6 - 330671705707/88374127603*c_1001_2^5 + 508481550886/88374127603*c_1001_2^4 + 676994892144/88374127603*c_1001_2^3 - 474257623588/88374127603*c_1001_2^2 - 514483185801/88374127603*c_1001_2 + 203763250216/88374127603, c_0101_1 - 1, c_0101_10 + 4892698791/88374127603*c_1001_2^9 + 42082276992/88374127603*c_1001_2^8 + 245452023502/88374127603*c_1001_2^7 + 714552298552/88374127603*c_1001_2^6 + 800564572526/88374127603*c_1001_2^5 - 1111959653746/88374127603*c_1001_2^4 - 1682823722832/88374127603*c_1001_2^3 + 866169423706/88374127603*c_1001_2^2 + 1214432842587/88374127603*c_1001_2 - 511046955194/88374127603, c_0101_4 + 7698873777/88374127603*c_1001_2^9 + 65424304785/88374127603*c_1001_2^8 + 378499538173/88374127603*c_1001_2^7 + 1077186358430/88374127603*c_1001_2^6 + 1096380855646/88374127603*c_1001_2^5 - 2017164280620/88374127603*c_1001_2^4 - 2716621376936/88374127603*c_1001_2^3 + 1715988237411/88374127603*c_1001_2^2 + 2012619832129/88374127603*c_1001_2 - 964183526737/88374127603, c_0101_5 + 2458360740/88374127603*c_1001_2^9 + 20793602367/88374127603*c_1001_2^8 + 120563977700/88374127603*c_1001_2^7 + 344383015042/88374127603*c_1001_2^6 + 365970962774/88374127603*c_1001_2^5 - 563892308835/88374127603*c_1001_2^4 - 738049147782/88374127603*c_1001_2^3 + 486037110173/88374127603*c_1001_2^2 + 563717979966/88374127603*c_1001_2 - 321996624757/88374127603, c_0101_6 - 1865480195/88374127603*c_1001_2^9 - 15811906600/88374127603*c_1001_2^8 - 91493056752/88374127603*c_1001_2^7 - 260798469786/88374127603*c_1001_2^6 - 271016814026/88374127603*c_1001_2^5 + 449806542751/88374127603*c_1001_2^4 + 570108055754/88374127603*c_1001_2^3 - 437785506072/88374127603*c_1001_2^2 - 353352869697/88374127603*c_1001_2 + 252968075633/88374127603, c_1001_1 - 12591572568/88374127603*c_1001_2^9 - 107506581777/88374127603*c_1001_2^8 - 623951561675/88374127603*c_1001_2^7 - 1791738656982/88374127603*c_1001_2^6 - 1896945428172/88374127603*c_1001_2^5 + 3129123934366/88374127603*c_1001_2^4 + 4399445099768/88374127603*c_1001_2^3 - 2582157661117/88374127603*c_1001_2^2 - 3227052674716/88374127603*c_1001_2 + 1475230481931/88374127603, c_1001_2^10 + 8*c_1001_2^9 + 45*c_1001_2^8 + 116*c_1001_2^7 + 76*c_1001_2^6 - 324*c_1001_2^5 - 213*c_1001_2^4 + 382*c_1001_2^3 + 144*c_1001_2^2 - 240*c_1001_2 + 58 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB