Magma V2.19-8 Tue Aug 20 2013 23:56:17 on localhost [Seed = 3381633501] Type ? for help. Type -D to quit. Loading file "K12n856__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n856 geometric_solution 11.70662233 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 -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 1.135045945854 0.842329857441 0 5 5 6 0132 0132 1302 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 -1 0 0 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 0.549065220914 0.744065079399 4 0 7 6 0213 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.655346765213 1.038270673739 3 3 6 0 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750932209875 0.884519486089 2 8 0 9 0213 0132 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 -1 1 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 0.213935535174 0.692232392504 1 1 10 8 2031 0132 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357897654602 0.870144227703 3 11 1 2 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.315384164011 0.418977330639 9 12 10 2 0321 0132 2103 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 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 -0.027939745077 1.522928248693 9 4 5 12 1023 0132 0132 0132 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 0 0 0 -1 0 0 1 7 -1 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027939745077 1.522928248693 7 8 4 11 0321 1023 0132 2310 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 1 -1 0 -1 0 1 0 0 -7 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.021783803570 0.821479398619 7 11 12 5 2103 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 1 0 -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 0.271216172734 1.005533664681 9 6 12 10 3201 0132 1302 0321 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 -7 0 6 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 1.081365679149 1.626118912663 11 7 8 10 2031 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.397601388209 0.539262692480 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], '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'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : negation(d['c_0011_12']), '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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_1100_10'], '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' : d['c_1100_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' : 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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0101_10']), '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_0011_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_3']), '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_12, c_0011_3, c_0011_4, c_0101_10, c_0101_3, c_0101_5, c_0101_8, c_1001_12, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1723639844/9710766585*c_1100_10^8 + 58568812/206612055*c_1100_10^7 - 1901370197/746982045*c_1100_10^6 + 423880280/647384439*c_1100_10^5 - 11280465233/3236922195*c_1100_10^4 + 17399779373/9710766585*c_1100_10^3 - 2207025571/1942153317*c_1100_10^2 - 2233373061/1078974065*c_1100_10 + 16509401926/9710766585, c_0011_0 - 1, c_0011_10 - 2669/353183*c_1100_10^8 - 16913/353183*c_1100_10^7 + 121/353183*c_1100_10^6 - 317964/353183*c_1100_10^5 + 120985/353183*c_1100_10^4 - 648483/353183*c_1100_10^3 + 334766/353183*c_1100_10^2 - 551207/353183*c_1100_10 + 143545/353183, c_0011_11 - 343237/5297745*c_1100_10^8 + 483167/5297745*c_1100_10^7 - 1559281/1765915*c_1100_10^6 + 10685/353183*c_1100_10^5 - 1632399/1765915*c_1100_10^4 + 3579859/5297745*c_1100_10^3 - 862390/1059549*c_1100_10^2 + 1628633/5297745*c_1100_10 + 1152206/1765915, c_0011_12 + 55192/353183*c_1100_10^8 - 107715/353183*c_1100_10^7 + 844793/353183*c_1100_10^6 - 496849/353183*c_1100_10^5 + 1476996/353183*c_1100_10^4 - 838481/353183*c_1100_10^3 + 1586747/353183*c_1100_10^2 - 279574/353183*c_1100_10 + 76510/353183, c_0011_3 - 479524/5297745*c_1100_10^8 + 761264/5297745*c_1100_10^7 - 2202452/1765915*c_1100_10^6 + 61317/353183*c_1100_10^5 - 1953958/1765915*c_1100_10^4 + 453748/5297745*c_1100_10^3 - 1624831/1059549*c_1100_10^2 - 5511634/5297745*c_1100_10 + 1857092/1765915, c_0011_4 + 226871/5297745*c_1100_10^8 + 185954/5297745*c_1100_10^7 + 759618/1765915*c_1100_10^6 + 489919/353183*c_1100_10^5 + 323407/1765915*c_1100_10^4 + 10937983/5297745*c_1100_10^3 - 993349/1059549*c_1100_10^2 + 12879191/5297745*c_1100_10 - 2167738/1765915, c_0101_10 - 226871/5297745*c_1100_10^8 - 185954/5297745*c_1100_10^7 - 759618/1765915*c_1100_10^6 - 489919/353183*c_1100_10^5 - 323407/1765915*c_1100_10^4 - 10937983/5297745*c_1100_10^3 + 993349/1059549*c_1100_10^2 - 12879191/5297745*c_1100_10 + 2167738/1765915, c_0101_3 - 278768/5297745*c_1100_10^8 + 27463/5297745*c_1100_10^7 - 1210204/1765915*c_1100_10^6 - 296640/353183*c_1100_10^5 - 2757726/1765915*c_1100_10^4 - 4058209/5297745*c_1100_10^3 - 473987/1059549*c_1100_10^2 - 4645463/5297745*c_1100_10 + 399689/1765915, c_0101_5 + 531421/5297745*c_1100_10^8 - 974681/5297745*c_1100_10^7 + 2653038/1765915*c_1100_10^6 - 254596/353183*c_1100_10^5 + 4388277/1765915*c_1100_10^4 - 7333522/5297745*c_1100_10^3 + 3092167/1059549*c_1100_10^2 + 2575651/5297745*c_1100_10 - 89043/1765915, c_0101_8 - 296459/5297745*c_1100_10^8 + 641044/5297745*c_1100_10^7 - 1570927/1765915*c_1100_10^6 + 242253/353183*c_1100_10^5 - 2996703/1765915*c_1100_10^4 + 5243693/5297745*c_1100_10^3 - 1668074/1059549*c_1100_10^2 + 1471516/5297745*c_1100_10 + 1294322/1765915, c_1001_12 + 350108/5297745*c_1100_10^8 - 792148/5297745*c_1100_10^7 + 1737114/1765915*c_1100_10^6 - 300061/353183*c_1100_10^5 + 1827331/1765915*c_1100_10^4 - 10039586/5297745*c_1100_10^3 + 620873/1059549*c_1100_10^2 - 1965082/5297745*c_1100_10 - 1761999/1765915, c_1001_5 + 296459/5297745*c_1100_10^8 - 641044/5297745*c_1100_10^7 + 1570927/1765915*c_1100_10^6 - 242253/353183*c_1100_10^5 + 2996703/1765915*c_1100_10^4 - 5243693/5297745*c_1100_10^3 + 1668074/1059549*c_1100_10^2 - 1471516/5297745*c_1100_10 + 471593/1765915, c_1100_10^9 - 2*c_1100_10^8 + 15*c_1100_10^7 - 9*c_1100_10^6 + 21*c_1100_10^5 - 13*c_1100_10^4 + 17*c_1100_10^3 + c_1100_10^2 - 15*c_1100_10 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.000 Total time: 5.209 seconds, Total memory usage: 81.88MB