Magma V2.19-8 Wed Aug 21 2013 00:13:28 on localhost [Seed = 2496854222] Type ? for help. Type -D to quit. Loading file "K13n3469__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3469 geometric_solution 11.28539162 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2031 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 -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 0.392162865978 1.319744269511 0 4 6 5 0132 0132 0132 0132 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 -1 0 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371593998135 0.305011645300 4 0 7 0 2310 0132 0132 1302 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 -1 0 1 3 0 -3 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 0.287911968891 0.625118390766 5 8 0 4 3120 0132 0132 3120 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 1 -1 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272005923180 0.506952906066 3 1 2 8 3120 0132 3201 3012 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 1 -1 0 0 0 0 1 0 0 -1 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559917892071 1.132071296832 7 9 1 3 2031 0132 0132 3120 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 -2 0 2 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954540436273 0.761957906562 10 9 10 1 0132 3012 3120 0132 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 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757273750362 0.893307712368 11 8 5 2 0132 0321 1302 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -3 0 0 3 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977957569864 0.523141308893 9 3 4 7 2103 0132 1230 0321 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 -1 0 1 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.781387898351 2.147819500605 6 5 8 12 1230 0132 2103 0132 0 0 0 0 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 2 0 -2 0 0 1 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710988322326 0.361869521549 6 11 6 12 0132 1302 3120 2103 0 0 0 0 0 -1 0 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 3 0 -3 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757273750362 0.893307712368 7 12 12 10 0132 3012 2310 2031 0 0 0 0 0 0 0 0 -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 0 0 3 0 0 -3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567957651599 0.446692977515 11 11 9 10 1230 3201 0132 2103 0 0 0 0 0 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 2 -2 0 0 1 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.500231361101 1.179415180595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_12']), '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_1'], '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_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0110_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['c_0011_11']), '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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_5']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], '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' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_3'], 'c_0110_4' : d['c_0110_3'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_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_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_8, c_0110_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 12992757391/31676625*c_0110_3^15 + 9270732406/10558875*c_0110_3^14 - 5994038828/2111775*c_0110_3^13 - 170461433704/31676625*c_0110_3^12 + 323368266103/31676625*c_0110_3^11 + 88022770123/6335325*c_0110_3^10 - 29223705194/1267065*c_0110_3^9 - 569034990097/31676625*c_0110_3^8 + 943471898/28157*c_0110_3^7 + 334512710552/31676625*c_0110_3^6 - 982656737419/31676625*c_0110_3^5 + 6519464311/6335325*c_0110_3^4 + 14932932406/856125*c_0110_3^3 - 36642919667/6335325*c_0110_3^2 - 121758732286/31676625*c_0110_3 + 7684130374/3519625, c_0011_0 - 1, c_0011_10 + c_0110_3^15 + 4*c_0110_3^14 - c_0110_3^13 - 20*c_0110_3^12 - 7*c_0110_3^11 + 48*c_0110_3^10 + 23*c_0110_3^9 - 69*c_0110_3^8 - 29*c_0110_3^7 + 68*c_0110_3^6 + 19*c_0110_3^5 - 46*c_0110_3^4 - 5*c_0110_3^3 + 20*c_0110_3^2 + c_0110_3 - 4, c_0011_11 - c_0110_3^15 - 4*c_0110_3^14 + c_0110_3^13 + 20*c_0110_3^12 + 8*c_0110_3^11 - 45*c_0110_3^10 - 25*c_0110_3^9 + 58*c_0110_3^8 + 31*c_0110_3^7 - 49*c_0110_3^6 - 20*c_0110_3^5 + 29*c_0110_3^4 + 6*c_0110_3^3 - 11*c_0110_3^2 - c_0110_3 + 2, c_0011_12 - c_0110_3^15 - 4*c_0110_3^14 + c_0110_3^13 + 20*c_0110_3^12 + 7*c_0110_3^11 - 48*c_0110_3^10 - 23*c_0110_3^9 + 69*c_0110_3^8 + 30*c_0110_3^7 - 66*c_0110_3^6 - 21*c_0110_3^5 + 42*c_0110_3^4 + 7*c_0110_3^3 - 17*c_0110_3^2 - c_0110_3 + 3, c_0011_3 + c_0110_3^15 + 5*c_0110_3^14 + 4*c_0110_3^13 - 17*c_0110_3^12 - 28*c_0110_3^11 + 19*c_0110_3^10 + 56*c_0110_3^9 - c_0110_3^8 - 52*c_0110_3^7 - 10*c_0110_3^6 + 28*c_0110_3^5 + 7*c_0110_3^4 - 11*c_0110_3^3 - 4*c_0110_3^2 + 3*c_0110_3 + 2, c_0011_5 - c_0110_3^15 - 4*c_0110_3^14 + c_0110_3^13 + 20*c_0110_3^12 + 7*c_0110_3^11 - 48*c_0110_3^10 - 23*c_0110_3^9 + 69*c_0110_3^8 + 29*c_0110_3^7 - 68*c_0110_3^6 - 19*c_0110_3^5 + 46*c_0110_3^4 + 4*c_0110_3^3 - 22*c_0110_3^2 - c_0110_3 + 5, c_0101_0 - c_0110_3^15 - 3*c_0110_3^14 + 4*c_0110_3^13 + 17*c_0110_3^12 - 6*c_0110_3^11 - 41*c_0110_3^10 + 5*c_0110_3^9 + 54*c_0110_3^8 - 7*c_0110_3^7 - 43*c_0110_3^6 + 12*c_0110_3^5 + 21*c_0110_3^4 - 10*c_0110_3^3 - 5*c_0110_3^2 + 3*c_0110_3, c_0101_1 - c_0110_3^15 - 4*c_0110_3^14 + c_0110_3^13 + 20*c_0110_3^12 + 7*c_0110_3^11 - 48*c_0110_3^10 - 23*c_0110_3^9 + 69*c_0110_3^8 + 29*c_0110_3^7 - 68*c_0110_3^6 - 19*c_0110_3^5 + 46*c_0110_3^4 + 4*c_0110_3^3 - 21*c_0110_3^2 + 4, c_0101_11 + c_0110_3^15 + 4*c_0110_3^14 - c_0110_3^13 - 20*c_0110_3^12 - 7*c_0110_3^11 + 48*c_0110_3^10 + 23*c_0110_3^9 - 69*c_0110_3^8 - 29*c_0110_3^7 + 68*c_0110_3^6 + 19*c_0110_3^5 - 46*c_0110_3^4 - 4*c_0110_3^3 + 21*c_0110_3^2 - 4, c_0101_4 + c_0110_3^15 + 2*c_0110_3^14 - 7*c_0110_3^13 - 13*c_0110_3^12 + 23*c_0110_3^11 + 35*c_0110_3^10 - 46*c_0110_3^9 - 49*c_0110_3^8 + 61*c_0110_3^7 + 36*c_0110_3^6 - 55*c_0110_3^5 - 9*c_0110_3^4 + 31*c_0110_3^3 - 5*c_0110_3^2 - 8*c_0110_3 + 3, c_0101_8 - c_0110_3^15 - 5*c_0110_3^14 - 3*c_0110_3^13 + 21*c_0110_3^12 + 28*c_0110_3^11 - 36*c_0110_3^10 - 66*c_0110_3^9 + 34*c_0110_3^8 + 76*c_0110_3^7 - 28*c_0110_3^6 - 52*c_0110_3^5 + 24*c_0110_3^4 + 23*c_0110_3^3 - 13*c_0110_3^2 - 5*c_0110_3 + 3, c_0110_3^16 + 3*c_0110_3^15 - 5*c_0110_3^14 - 19*c_0110_3^13 + 13*c_0110_3^12 + 55*c_0110_3^11 - 25*c_0110_3^10 - 92*c_0110_3^9 + 40*c_0110_3^8 + 97*c_0110_3^7 - 49*c_0110_3^6 - 65*c_0110_3^5 + 42*c_0110_3^4 + 25*c_0110_3^3 - 21*c_0110_3^2 - 4*c_0110_3 + 5, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 18.770 Total time: 18.989 seconds, Total memory usage: 82.00MB