Magma V2.19-8 Wed Aug 21 2013 00:56:44 on localhost [Seed = 695153641] Type ? for help. Type -D to quit. Loading file "L13n2830__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2830 geometric_solution 11.62687349 oriented_manifold CS_known -0.0000000000000012 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 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 -1 0 0 -1 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 0.539009209045 0.736729480338 0 4 3 5 0132 2103 2310 0132 1 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 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849805686639 0.625931738913 6 0 8 7 0132 0132 0132 0132 1 0 1 1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903413190146 1.058440763722 6 1 7 0 2031 3201 0132 0132 1 0 1 0 0 0 0 0 0 0 1 -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 0 -1 -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 0.117365578048 0.628071180381 7 1 0 8 1230 2103 0132 0132 1 0 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 -1 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 0.831280302850 1.692467341679 6 8 1 9 1023 3120 0132 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 -1 1 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 0.675733475049 0.524199885125 2 5 3 10 0132 1023 1302 0132 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 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 0.721938376759 0.292424640455 9 4 2 3 3120 3012 0132 0132 1 0 0 1 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 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 0.395915728241 1.344857233122 10 5 4 2 0132 3120 0132 0132 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 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 0.357981566338 0.298462286843 11 12 5 7 0132 0132 0132 3120 1 0 0 1 0 -1 0 1 1 0 0 -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 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895635073071 1.010869826632 8 11 6 12 0132 1302 0132 1302 0 0 1 1 0 -1 0 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 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 0.508977380878 0.554198874953 9 12 12 10 0132 0321 2103 2031 1 0 1 0 0 1 0 -1 -1 0 0 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 -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 0.926215080140 0.650139918525 11 9 10 11 2103 0132 2031 0321 1 0 1 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 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 0.926215080140 0.650139918525 ==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_0101_9'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : 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_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' : negation(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' : negation(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_11'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : 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' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(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_11']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0101_9'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_9'], 'c_0101_8' : d['c_0011_7'], '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_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_11'], '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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3244552722801/1004193520*c_1100_0^11 + 5708914346117/502096760*c_1100_0^10 - 412836962439919/16067096320*c_1100_0^9 + 2955211396040217/64268385280*c_1100_0^8 - 2092646853266367/32134192640*c_1100_0^7 + 2405147880616301/32134192640*c_1100_0^6 - 2242119521944683/32134192640*c_1100_0^5 + 3255916523902221/64268385280*c_1100_0^4 - 81806243243013/2921290240*c_1100_0^3 + 143126495372101/12853677056*c_1100_0^2 - 10018693501767/4016774080*c_1100_0 + 6131688894713/64268385280, c_0011_0 - 1, c_0011_10 + 166908036/1141129*c_1100_0^11 - 574866676/1141129*c_1100_0^10 + 5305956431/4564516*c_1100_0^9 - 38552736701/18258064*c_1100_0^8 + 55321981213/18258064*c_1100_0^7 - 65356933667/18258064*c_1100_0^6 + 62734053869/18258064*c_1100_0^5 - 23969881239/9129032*c_1100_0^4 + 1305428573/829912*c_1100_0^3 - 12871048955/18258064*c_1100_0^2 + 3830163021/18258064*c_1100_0 - 314668259/9129032, c_0011_11 - 49388338/1141129*c_1100_0^11 + 116491226/1141129*c_1100_0^10 - 2135049175/9129032*c_1100_0^9 + 13910809589/36516128*c_1100_0^8 - 18534413869/36516128*c_1100_0^7 + 20359775571/36516128*c_1100_0^6 - 17819133181/36516128*c_1100_0^5 + 6209622591/18258064*c_1100_0^4 - 312222309/1659824*c_1100_0^3 + 2657313995/36516128*c_1100_0^2 - 723994197/36516128*c_1100_0 + 37452067/18258064, c_0011_3 - 9901946/1141129*c_1100_0^11 + 31407106/1141129*c_1100_0^10 - 536223859/9129032*c_1100_0^9 + 3755161097/36516128*c_1100_0^8 - 5093119233/36516128*c_1100_0^7 + 5708074991/36516128*c_1100_0^6 - 5120208657/36516128*c_1100_0^5 + 1817729987/18258064*c_1100_0^4 - 91033265/1659824*c_1100_0^3 + 815549191/36516128*c_1100_0^2 - 230003689/36516128*c_1100_0 + 12840271/18258064, c_0011_4 - 29110030/1141129*c_1100_0^11 + 97543206/1141129*c_1100_0^10 - 1811735561/9129032*c_1100_0^9 + 12937967403/36516128*c_1100_0^8 - 18650816531/36516128*c_1100_0^7 + 21897652413/36516128*c_1100_0^6 - 21010966547/36516128*c_1100_0^5 + 8072382873/18258064*c_1100_0^4 - 446022859/1659824*c_1100_0^3 + 4530538901/36516128*c_1100_0^2 - 1474880923/36516128*c_1100_0 + 126051789/18258064, c_0011_7 + 311170/1141129*c_1100_0^11 - 3322122/1141129*c_1100_0^10 + 81640239/9129032*c_1100_0^9 - 703074877/36516128*c_1100_0^8 + 1367504581/36516128*c_1100_0^7 - 1890077579/36516128*c_1100_0^6 + 2328738021/36516128*c_1100_0^5 - 1147054015/18258064*c_1100_0^4 + 81269277/1659824*c_1100_0^3 - 1085356403/36516128*c_1100_0^2 + 434464717/36516128*c_1100_0 - 40436443/18258064, c_0101_0 - 1, c_0101_1 - 28798860/1141129*c_1100_0^11 + 94221084/1141129*c_1100_0^10 - 865047661/4564516*c_1100_0^9 + 6117446263/18258064*c_1100_0^8 - 8641655975/18258064*c_1100_0^7 + 10003787417/18258064*c_1100_0^6 - 9341114263/18258064*c_1100_0^5 + 3462664429/9129032*c_1100_0^4 - 182376791/829912*c_1100_0^3 + 1722591249/18258064*c_1100_0^2 - 520208103/18258064*c_1100_0 + 42807673/9129032, c_0101_10 + 9901946/1141129*c_1100_0^11 - 31407106/1141129*c_1100_0^10 + 536223859/9129032*c_1100_0^9 - 3755161097/36516128*c_1100_0^8 + 5093119233/36516128*c_1100_0^7 - 5708074991/36516128*c_1100_0^6 + 5120208657/36516128*c_1100_0^5 - 1817729987/18258064*c_1100_0^4 + 91033265/1659824*c_1100_0^3 - 815549191/36516128*c_1100_0^2 + 230003689/36516128*c_1100_0 - 12840271/18258064, c_0101_11 + 22675624/1141129*c_1100_0^11 - 69961256/1141129*c_1100_0^10 + 322746011/2282258*c_1100_0^9 - 2294223057/9129032*c_1100_0^8 + 3230476421/9129032*c_1100_0^7 - 3767002951/9129032*c_1100_0^6 + 3547327913/9129032*c_1100_0^5 - 1326836229/4564516*c_1100_0^4 + 70718521/414956*c_1100_0^3 - 667400387/9129032*c_1100_0^2 + 184418693/9129032*c_1100_0 - 15020639/4564516, c_0101_9 + 311170/1141129*c_1100_0^11 - 3322122/1141129*c_1100_0^10 + 81640239/9129032*c_1100_0^9 - 703074877/36516128*c_1100_0^8 + 1367504581/36516128*c_1100_0^7 - 1890077579/36516128*c_1100_0^6 + 2328738021/36516128*c_1100_0^5 - 1147054015/18258064*c_1100_0^4 + 81269277/1659824*c_1100_0^3 - 1085356403/36516128*c_1100_0^2 + 434464717/36516128*c_1100_0 - 40436443/18258064, c_1001_5 - 61208864/1141129*c_1100_0^11 + 161285312/1141129*c_1100_0^10 - 375715278/1141129*c_1100_0^9 + 1257945537/2282258*c_1100_0^8 - 866872883/1141129*c_1100_0^7 + 1937764379/2282258*c_1100_0^6 - 1753794131/2282258*c_1100_0^5 + 1243868363/2282258*c_1100_0^4 - 31250605/103739*c_1100_0^3 + 133202081/1141129*c_1100_0^2 - 32684603/1141129*c_1100_0 + 1760368/1141129, c_1100_0^12 - 4*c_1100_0^11 + 159/16*c_1100_0^10 - 1217/64*c_1100_0^9 + 233/8*c_1100_0^8 - 1171/32*c_1100_0^7 + 1213/32*c_1100_0^6 - 2041/64*c_1100_0^5 + 43/2*c_1100_0^4 - 725/64*c_1100_0^3 + 141/32*c_1100_0^2 - 73/64*c_1100_0 + 5/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB