Magma V2.19-8 Wed Aug 21 2013 01:06:42 on localhost [Seed = 2581561702] Type ? for help. Type -D to quit. Loading file "L14n32824__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32824 geometric_solution 12.13100951 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 0 0 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 -1 0 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 0.031151091229 0.826308992419 0 5 6 2 0132 0132 0132 1023 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393304238636 1.212476586837 7 0 8 1 0132 0132 0132 1023 0 0 1 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 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 0.063654420326 0.881954350363 9 9 10 0 0132 1230 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 0.657574918223 0.555298426610 10 4 0 4 2310 1302 0132 2031 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 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 0.713716203358 1.019383677112 7 1 11 9 1023 0132 0132 1023 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 -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 0.218901908563 0.717203382801 7 10 12 1 3012 1023 0132 0132 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 0 0 0 0 0 0.913231885428 1.943323471872 2 5 11 6 0132 1023 3012 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076060192320 0.943088115882 11 12 12 2 0132 2103 1023 0132 0 0 0 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 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 0.234174598877 0.598628184081 3 12 3 5 0132 1023 3012 1023 0 0 0 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 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 0.112298277662 0.749632256422 6 11 4 3 1023 0213 3201 0132 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 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 0.647080751825 0.710164052946 8 7 10 5 0132 1230 0213 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 -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 0.908105747550 1.601022247592 9 8 8 6 1023 2103 1023 0132 0 0 0 1 0 0 1 -1 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 1 -1 -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 0.234174598877 0.598628184081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : 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' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], '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' : negation(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' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1001_3']), 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_1100_1']), '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_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_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' : d['c_0101_7'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3544262753/1505739177*c_1100_1^7 + 1670005228/3513391413*c_1100_1^6 + 6720892463/3513391413*c_1100_1^5 + 1181518729415/10540174239*c_1100_1^4 + 1058872931041/10540174239*c_1100_1^3 - 2245670590396/10540174239*c_1100_1^2 + 329542140528/1171130471*c_1100_1 - 46421187295/1505739177, c_0011_0 - 1, c_0011_10 + 8568514/167304353*c_1100_1^7 + 11047564/167304353*c_1100_1^6 + 3502099/167304353*c_1100_1^5 - 419982174/167304353*c_1100_1^4 - 988761085/167304353*c_1100_1^3 - 394699131/167304353*c_1100_1^2 - 390157868/167304353*c_1100_1 + 239751200/167304353, c_0011_11 - 8568514/167304353*c_1100_1^7 - 11047564/167304353*c_1100_1^6 - 3502099/167304353*c_1100_1^5 + 419982174/167304353*c_1100_1^4 + 988761085/167304353*c_1100_1^3 + 394699131/167304353*c_1100_1^2 + 390157868/167304353*c_1100_1 - 72446847/167304353, c_0011_12 - 8568514/167304353*c_1100_1^7 - 11047564/167304353*c_1100_1^6 - 3502099/167304353*c_1100_1^5 + 419982174/167304353*c_1100_1^4 + 988761085/167304353*c_1100_1^3 + 394699131/167304353*c_1100_1^2 + 390157868/167304353*c_1100_1 - 72446847/167304353, c_0011_4 - 6924759/167304353*c_1100_1^7 - 8466654/167304353*c_1100_1^6 - 3576200/167304353*c_1100_1^5 + 336507873/167304353*c_1100_1^4 + 787654494/167304353*c_1100_1^3 + 340890075/167304353*c_1100_1^2 + 452398791/167304353*c_1100_1 - 135563259/167304353, c_0101_0 - 2987193/167304353*c_1100_1^7 - 3152360/167304353*c_1100_1^6 - 2081737/167304353*c_1100_1^5 + 145750993/167304353*c_1100_1^4 + 310118544/167304353*c_1100_1^3 + 167938582/167304353*c_1100_1^2 + 287848218/167304353*c_1100_1 - 3002396/167304353, c_0101_1 - 1, c_0101_10 + 8568514/167304353*c_1100_1^7 + 11047564/167304353*c_1100_1^6 + 3502099/167304353*c_1100_1^5 - 419982174/167304353*c_1100_1^4 - 988761085/167304353*c_1100_1^3 - 394699131/167304353*c_1100_1^2 - 557462221/167304353*c_1100_1 + 239751200/167304353, c_0101_3 + 5332775/167304353*c_1100_1^7 + 4049462/167304353*c_1100_1^6 - 386969/167304353*c_1100_1^5 - 263461470/167304353*c_1100_1^4 - 474416295/167304353*c_1100_1^3 + 47895752/167304353*c_1100_1^2 - 165665121/167304353*c_1100_1 + 239946405/167304353, c_0101_6 - 8568514/167304353*c_1100_1^7 - 11047564/167304353*c_1100_1^6 - 3502099/167304353*c_1100_1^5 + 419982174/167304353*c_1100_1^4 + 988761085/167304353*c_1100_1^3 + 394699131/167304353*c_1100_1^2 + 390157868/167304353*c_1100_1 - 239751200/167304353, c_0101_7 + 1808922/167304353*c_1100_1^7 + 4662647/167304353*c_1100_1^6 + 547363/167304353*c_1100_1^5 - 88899159/167304353*c_1100_1^4 - 333198857/167304353*c_1100_1^3 - 204246396/167304353*c_1100_1^2 - 39308436/167304353*c_1100_1 - 42206061/167304353, c_1001_3 - 4796115/167304353*c_1100_1^7 - 7815007/167304353*c_1100_1^6 - 2629100/167304353*c_1100_1^5 + 234650152/167304353*c_1100_1^4 + 643317401/167304353*c_1100_1^3 + 372184978/167304353*c_1100_1^2 + 327156654/167304353*c_1100_1 + 39203665/167304353, c_1100_1^8 + c_1100_1^7 - 49*c_1100_1^5 - 102*c_1100_1^4 - 12*c_1100_1^3 - 46*c_1100_1^2 + 35*c_1100_1 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.760 Total time: 0.960 seconds, Total memory usage: 32.09MB