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Loading file "L13n2154__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2154 geometric_solution 10.92102103 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 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 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 0.613353477682 0.474310197884 0 5 7 6 0132 0132 0132 0132 0 1 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 -1 1 1 0 0 -1 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032528547679 1.266631901498 3 0 8 6 0321 0132 0132 0321 0 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489869112283 0.394487503706 2 5 9 0 0321 0213 0132 0132 0 1 1 1 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 1 -1 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226706955364 0.948620395769 10 10 0 8 0132 3201 0132 3201 0 1 0 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 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 0.663768256996 1.055596608023 6 1 3 9 0213 0132 0213 3120 0 1 1 1 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 0 0 0 0 0 1 -1 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761681374482 0.997207644092 5 2 1 11 0213 0321 0132 0132 0 1 1 1 0 1 0 -1 1 0 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 -1 1 -4 0 1 3 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.238318625518 0.997207644092 10 11 10 1 3120 2310 0213 0132 0 1 1 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 -1 0 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 0.573104381287 0.678895928427 11 4 9 2 0132 2310 0213 0132 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863894570537 0.825821703275 5 8 11 3 3120 0213 2310 0132 0 1 1 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330943277751 0.664858611291 4 7 4 7 0132 0213 2310 3120 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.426895618713 0.678895928427 8 9 6 7 0132 3201 0132 3201 0 1 0 1 0 0 1 -1 -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 -1 1 3 0 -3 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 0.194295831509 1.178892827046 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_2' : 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_1001_3'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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'], '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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], '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_0011_9'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_7, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1128160777/190109755*c_1001_10^7 + 2146873001/380219510*c_1001_10^6 + 878940169/760439020*c_1001_10^5 - 5982919881/3041756080*c_1001_10^4 + 22320821269/1520878040*c_1001_10^3 + 29396486853/3041756080*c_1001_10^2 + 1969413437/276523280*c_1001_10 + 6091681037/3041756080, c_0011_0 - 1, c_0011_10 + 62280/314231*c_1001_10^7 + 91916/314231*c_1001_10^6 + 255742/314231*c_1001_10^5 - 98285/628462*c_1001_10^4 + 126113/628462*c_1001_10^3 - 148794/314231*c_1001_10^2 + 864545/628462*c_1001_10 - 43875/314231, c_0011_11 + 669656/314231*c_1001_10^7 + 605988/314231*c_1001_10^6 + 154282/314231*c_1001_10^5 - 207543/628462*c_1001_10^4 + 3462347/628462*c_1001_10^3 + 1044863/314231*c_1001_10^2 + 1417305/628462*c_1001_10 + 516343/314231, c_0011_3 - 225992/314231*c_1001_10^7 - 427820/314231*c_1001_10^6 + 249330/314231*c_1001_10^5 + 379245/628462*c_1001_10^4 - 1356437/628462*c_1001_10^3 - 832282/314231*c_1001_10^2 + 1635471/628462*c_1001_10 - 378437/314231, c_0011_7 + 144136/314231*c_1001_10^7 + 259868/314231*c_1001_10^6 + 3206/314231*c_1001_10^5 - 238765/628462*c_1001_10^4 + 741275/628462*c_1001_10^3 + 341744/314231*c_1001_10^2 - 385463/628462*c_1001_10 + 167281/314231, c_0011_9 - 669656/314231*c_1001_10^7 - 605988/314231*c_1001_10^6 - 154282/314231*c_1001_10^5 + 207543/628462*c_1001_10^4 - 3462347/628462*c_1001_10^3 - 1044863/314231*c_1001_10^2 - 1417305/628462*c_1001_10 - 516343/314231, c_0101_1 - 525520/314231*c_1001_10^7 - 346120/314231*c_1001_10^6 - 151076/314231*c_1001_10^5 - 15611/314231*c_1001_10^4 - 1360536/314231*c_1001_10^3 - 703119/314231*c_1001_10^2 - 901384/314231*c_1001_10 - 349062/314231, c_0101_10 + 144136/314231*c_1001_10^7 + 259868/314231*c_1001_10^6 + 3206/314231*c_1001_10^5 - 238765/628462*c_1001_10^4 + 741275/628462*c_1001_10^3 + 341744/314231*c_1001_10^2 - 385463/628462*c_1001_10 + 167281/314231, c_0101_11 - 695452/314231*c_1001_10^7 + 479342/314231*c_1001_10^6 + 279211/314231*c_1001_10^5 + 439995/1256924*c_1001_10^4 - 7547353/1256924*c_1001_10^3 + 3789349/628462*c_1001_10^2 - 2913043/1256924*c_1001_10 + 645231/314231, c_0101_9 + 1, c_1001_10^8 + 1/2*c_1001_10^7 + 1/4*c_1001_10^6 - 1/16*c_1001_10^5 + 21/8*c_1001_10^4 + 5/16*c_1001_10^3 + 27/16*c_1001_10^2 + 5/16*c_1001_10 + 1/4, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB