Magma V2.19-8 Wed Aug 21 2013 00:57:16 on localhost [Seed = 1495221126] Type ? for help. Type -D to quit. Loading file "L13n4189__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4189 geometric_solution 11.91846510 oriented_manifold CS_known -0.0000000000000002 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 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 0 -1 -2 0 2 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 0.878920587040 1.007482176899 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 2 0 -1 -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 0.443578151489 1.031756182763 8 0 5 9 0132 0132 0321 0132 1 1 1 1 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 -1 0 1 0 0 4 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 8 10 11 0 3012 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 0 0 0 1 0 1 -2 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362961227692 0.437919230244 11 10 0 7 0132 1230 0132 0132 1 0 1 1 0 -1 0 1 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 4 1 -5 0 0 0 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 0.539865989635 0.777891456250 12 1 2 9 0132 0132 0321 1230 1 1 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398258602449 0.677119985621 8 12 1 11 2031 1230 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 1 -1 1 -1 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875992943602 0.772468603280 8 12 4 1 1023 0132 0132 0132 1 0 1 1 0 1 -1 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 -5 5 0 -1 0 0 1 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398265900172 0.555830313985 2 7 6 3 0132 1023 1302 1230 0 1 1 1 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 1 0 -1 0 0 4 -4 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365491569316 0.423783350040 5 11 2 10 3012 2103 0132 2103 1 1 1 1 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 -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 0 0 0 0 0 0.522322804008 0.818164722262 12 3 4 9 3012 0132 3012 2103 1 1 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 0 0 0 0 -4 4 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416040912423 1.282193575743 4 9 6 3 0132 2103 0132 0132 1 0 1 1 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 0 0 0 0 0 1.132531758281 1.055934521331 5 7 6 10 0132 0132 3012 1230 1 1 1 1 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 5 -5 0 0 0 0 0 -4 4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332028280993 0.925562026289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_9'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0110_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_1'], '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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_0110_9, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1883207025731267341/14150491647035491*c_1100_0^11 + 13476326482387821889/28300983294070982*c_1100_0^10 - 12704419118144371/8365646850154*c_1100_0^9 - 113121394562117907159/14150491647035491*c_1100_0^8 - 56644531681421186623/14150491647035491*c_1100_0^7 + 586475003593564146879/28300983294070982*c_1100_0^6 + 332391307426464401318/14150491647035491*c_1100_0^5 - 402710309757858820599/28300983294070982*c_1100_0^4 - 355414983978886583557/14150491647035491*c_1100_0^3 + 5843739168373976729/14150491647035491*c_1100_0^2 + 147986723028289779553/28300983294070982*c_1100_0 - 20138071011334687596/14150491647035491, c_0011_0 - 1, c_0011_10 - 61013/41693*c_1100_0^11 - 113458/41693*c_1100_0^10 + 927500/41693*c_1100_0^9 + 2149746/41693*c_1100_0^8 - 2390198/41693*c_1100_0^7 - 6838694/41693*c_1100_0^6 + 2010419/41693*c_1100_0^5 + 7525971/41693*c_1100_0^4 - 1361189/41693*c_1100_0^3 - 2443665/41693*c_1100_0^2 + 1360340/41693*c_1100_0 - 245453/41693, c_0011_11 + 112847/41693*c_1100_0^11 + 260485/41693*c_1100_0^10 - 1557850/41693*c_1100_0^9 - 4559915/41693*c_1100_0^8 + 1881428/41693*c_1100_0^7 + 11621605/41693*c_1100_0^6 + 1075485/41693*c_1100_0^5 - 9950460/41693*c_1100_0^4 + 326351/41693*c_1100_0^3 + 3320056/41693*c_1100_0^2 - 1517392/41693*c_1100_0 + 205833/41693, c_0011_6 - 84858/41693*c_1100_0^11 - 194079/41693*c_1100_0^10 + 1182480/41693*c_1100_0^9 + 3425374/41693*c_1100_0^8 - 1566715/41693*c_1100_0^7 - 9050637/41693*c_1100_0^6 - 757718/41693*c_1100_0^5 + 8123414/41693*c_1100_0^4 + 92446/41693*c_1100_0^3 - 2729457/41693*c_1100_0^2 + 1036774/41693*c_1100_0 - 116779/41693, c_0011_9 - 99864/41693*c_1100_0^11 - 345053/41693*c_1100_0^10 + 1025511/41693*c_1100_0^9 + 5339534/41693*c_1100_0^8 + 3967673/41693*c_1100_0^7 - 7780017/41693*c_1100_0^6 - 10690827/41693*c_1100_0^5 + 35057/41693*c_1100_0^4 + 2647639/41693*c_1100_0^3 - 837487/41693*c_1100_0^2 - 129834/41693*c_1100_0 + 58244/41693, c_0101_0 - 1, c_0101_1 + 741/241*c_1100_0^11 + 2350/241*c_1100_0^10 - 8398/241*c_1100_0^9 - 37680/241*c_1100_0^8 - 17611/241*c_1100_0^7 + 69419/241*c_1100_0^6 + 66192/241*c_1100_0^5 - 26677/241*c_1100_0^4 - 27814/241*c_1100_0^3 + 10028/241*c_1100_0^2 + 1433/241*c_1100_0 - 852/241, c_0101_10 - 193251/41693*c_1100_0^11 - 506364/41693*c_1100_0^10 + 2480583/41693*c_1100_0^9 + 8506352/41693*c_1100_0^8 - 213316/41693*c_1100_0^7 - 18725025/41693*c_1100_0^6 - 7433721/41693*c_1100_0^5 + 12595323/41693*c_1100_0^4 + 1868423/41693*c_1100_0^3 - 4640965/41693*c_1100_0^2 + 1387187/41693*c_1100_0 - 105499/41693, c_0101_11 + 450/241*c_1100_0^11 + 910/241*c_1100_0^10 - 6546/241*c_1100_0^9 - 16560/241*c_1100_0^8 + 13046/241*c_1100_0^7 + 46547/241*c_1100_0^6 - 6895/241*c_1100_0^5 - 44663/241*c_1100_0^4 + 7888/241*c_1100_0^3 + 14038/241*c_1100_0^2 - 9001/241*c_1100_0 + 1354/241, c_0110_10 - 54312/41693*c_1100_0^11 - 169374/41693*c_1100_0^10 + 616982/41693*c_1100_0^9 + 2696955/41693*c_1100_0^8 + 1211353/41693*c_1100_0^7 - 4670111/41693*c_1100_0^6 - 4078564/41693*c_1100_0^5 + 1563170/41693*c_1100_0^4 + 806503/41693*c_1100_0^3 - 903858/41693*c_1100_0^2 + 188324/41693*c_1100_0 - 17331/41693, c_0110_9 - 140823/41693*c_1100_0^11 - 446149/41693*c_1100_0^10 + 1562495/41693*c_1100_0^9 + 7054519/41693*c_1100_0^8 + 3723288/41693*c_1100_0^7 - 11591037/41693*c_1100_0^6 - 11843969/41693*c_1100_0^5 + 2558399/41693*c_1100_0^4 + 2825075/41693*c_1100_0^3 - 1583493/41693*c_1100_0^2 + 263296/41693*c_1100_0 - 9114/41693, c_1001_3 - 10229/41693*c_1100_0^11 - 67766/41693*c_1100_0^10 - 9552/41693*c_1100_0^9 + 881515/41693*c_1100_0^8 + 2192725/41693*c_1100_0^7 + 486527/41693*c_1100_0^6 - 3951920/41693*c_1100_0^5 - 3561804/41693*c_1100_0^4 + 869514/41693*c_1100_0^3 + 936094/41693*c_1100_0^2 - 511954/41693*c_1100_0 + 51899/41693, c_1100_0^12 + 4*c_1100_0^11 - 9*c_1100_0^10 - 61*c_1100_0^9 - 62*c_1100_0^8 + 87*c_1100_0^7 + 165*c_1100_0^6 + 6*c_1100_0^5 - 78*c_1100_0^4 + 8*c_1100_0^3 + 19*c_1100_0^2 - 8*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB