Magma V2.19-8 Wed Aug 21 2013 00:56:37 on localhost [Seed = 3651126035] Type ? for help. Type -D to quit. Loading file "L13n2726__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2726 geometric_solution 11.68434225 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 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 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241474386419 1.344680017377 0 4 4 5 0132 0132 1302 0132 1 1 1 0 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 0 0 -1 1 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.870625384085 0.720438566413 0 0 4 6 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318236841902 0.564155928867 7 5 8 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368331447352 0.534025640773 1 1 8 2 2031 0132 0213 0132 1 1 0 1 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 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318236841902 0.564155928867 7 6 1 3 2103 1302 0132 3201 1 1 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 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 0.923237544517 0.780524088510 8 9 2 5 2031 0132 0132 2031 1 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 1 -1 0 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 0.991328856256 0.695268453126 3 10 5 9 0132 0132 2103 0213 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 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 0.767701661711 0.641290257107 11 4 6 3 0132 0213 1302 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323847068930 0.474219830780 11 6 10 7 2310 0132 0132 0213 1 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 -1 1 0 1 0 -1 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996225012690 0.575306429513 12 7 11 9 0132 0132 1230 0132 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 0 0 0 0 0 0 0 0 1 -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 1.103908609245 0.583714480885 8 12 9 10 0132 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103908609245 0.583714480885 10 11 12 12 0132 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925342910835 0.621497656751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0110_6'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_5'], 's_0_10' : d['1'], 's_0_11' : 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_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' : 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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1100_9' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], '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_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0110_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 105249/4*c_1001_3^4 + 245264*c_1001_3^3 + 2210867/4*c_1001_3^2 + 1604287/4*c_1001_3 + 162473/2, c_0011_0 - 1, c_0011_10 + 11/3*c_1001_3^4 - 103/3*c_1001_3^3 - 226/3*c_1001_3^2 - 55*c_1001_3 - 34/3, c_0011_5 + 16/3*c_1001_3^4 - 149/3*c_1001_3^3 - 338/3*c_1001_3^2 - 80*c_1001_3 - 47/3, c_0011_6 - 11/3*c_1001_3^4 + 103/3*c_1001_3^3 + 226/3*c_1001_3^2 + 55*c_1001_3 + 34/3, c_0101_0 - 1, c_0101_10 - 8/3*c_1001_3^4 + 76/3*c_1001_3^3 + 154/3*c_1001_3^2 + 33*c_1001_3 + 16/3, c_0101_11 + 16/3*c_1001_3^4 - 149/3*c_1001_3^3 - 338/3*c_1001_3^2 - 80*c_1001_3 - 47/3, c_0101_12 - 1, c_0101_2 - 4*c_1001_3^4 + 37*c_1001_3^3 + 87*c_1001_3^2 + 64*c_1001_3 + 13, c_0101_6 - 1/3*c_1001_3^4 + 8/3*c_1001_3^3 + 35/3*c_1001_3^2 + 9*c_1001_3 + 5/3, c_0110_5 + 11/3*c_1001_3^4 - 103/3*c_1001_3^3 - 226/3*c_1001_3^2 - 55*c_1001_3 - 34/3, c_0110_6 + 1/3*c_1001_3^4 - 8/3*c_1001_3^3 - 35/3*c_1001_3^2 - 9*c_1001_3 - 5/3, c_1001_3^5 - 9*c_1001_3^4 - 24*c_1001_3^3 - 22*c_1001_3^2 - 8*c_1001_3 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0110_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 106782950522/99*c_1001_3^11 + 31028093518/99*c_1001_3^10 - 1290096882673/99*c_1001_3^9 - 1512455486320/33*c_1001_3^8 - 656392887730/9*c_1001_3^7 - 6807121863172/33*c_1001_3^6 - 16703538342068/33*c_1001_3^5 - 66220424445668/99*c_1001_3^4 - 48545910185348/99*c_1001_3^3 - 2201431554096/11*c_1001_3^2 - 4195127442842/99*c_1001_3 - 358351545011/99, c_0011_0 - 1, c_0011_10 - 294562/33*c_1001_3^11 + 102170/33*c_1001_3^10 - 3570121/33*c_1001_3^9 - 1119235/3*c_1001_3^8 - 19293880/33*c_1001_3^7 - 55458152/33*c_1001_3^6 - 135405983/33*c_1001_3^5 - 58668989/11*c_1001_3^4 - 42089469/11*c_1001_3^3 - 50140810/33*c_1001_3^2 - 10280891/33*c_1001_3 - 847745/33, c_0011_5 - 186611/33*c_1001_3^11 + 66229/33*c_1001_3^10 - 2262761/33*c_1001_3^9 - 707372/3*c_1001_3^8 - 12166406/33*c_1001_3^7 - 35054116/33*c_1001_3^6 - 85525849/33*c_1001_3^5 - 36966012/11*c_1001_3^4 - 26431830/11*c_1001_3^3 - 31350809/33*c_1001_3^2 - 6393679/33*c_1001_3 - 523933/33, c_0011_6 + 1057/33*c_1001_3^11 - 512/33*c_1001_3^10 + 12940/33*c_1001_3^9 + 3850/3*c_1001_3^8 + 64144/33*c_1001_3^7 + 192275/33*c_1001_3^6 + 462269/33*c_1001_3^5 + 192559/11*c_1001_3^4 + 131968/11*c_1001_3^3 + 149725/33*c_1001_3^2 + 29759/33*c_1001_3 + 2477/33, c_0101_0 - 1, c_0101_10 + 5674/33*c_1001_3^11 - 659/33*c_1001_3^10 + 67873/33*c_1001_3^9 + 23029/3*c_1001_3^8 + 420898/33*c_1001_3^7 + 1137344/33*c_1001_3^6 + 2831291/33*c_1001_3^5 + 1305538/11*c_1001_3^4 + 1012097/11*c_1001_3^3 + 1322038/33*c_1001_3^2 + 299588/33*c_1001_3 + 27320/33, c_0101_11 - 186611/33*c_1001_3^11 + 66229/33*c_1001_3^10 - 2262761/33*c_1001_3^9 - 707372/3*c_1001_3^8 - 12166406/33*c_1001_3^7 - 35054116/33*c_1001_3^6 - 85525849/33*c_1001_3^5 - 36966012/11*c_1001_3^4 - 26431830/11*c_1001_3^3 - 31350809/33*c_1001_3^2 - 6393679/33*c_1001_3 - 523933/33, c_0101_12 + 28648/11*c_1001_3^11 - 10529/11*c_1001_3^10 + 347627/11*c_1001_3^9 + 108187*c_1001_3^8 + 1854227/11*c_1001_3^7 + 5362535/11*c_1001_3^6 + 13068295/11*c_1001_3^5 + 16880329/11*c_1001_3^4 + 12008492/11*c_1001_3^3 + 4716354/11*c_1001_3^2 + 954156/11*c_1001_3 + 77481/11, c_0101_2 + 7837*c_1001_3^11 - 2734*c_1001_3^10 + 94996*c_1001_3^9 + 327363*c_1001_3^8 + 512735*c_1001_3^7 + 1474667*c_1001_3^6 + 3599879*c_1001_3^5 + 4676456*c_1001_3^4 + 3352183*c_1001_3^3 + 1329716*c_1001_3^2 + 272286*c_1001_3 + 22418, c_0101_6 - 35941/33*c_1001_3^11 + 11948/33*c_1001_3^10 - 435253/33*c_1001_3^9 - 137146/3*c_1001_3^8 - 2373625/33*c_1001_3^7 - 6794141/33*c_1001_3^6 - 16609976/33*c_1001_3^5 - 7227973/11*c_1001_3^4 - 5215456/11*c_1001_3^3 - 6260182/33*c_1001_3^2 - 1295453/33*c_1001_3 - 107951/33, c_0110_5 - 294562/33*c_1001_3^11 + 102170/33*c_1001_3^10 - 3570121/33*c_1001_3^9 - 1119235/3*c_1001_3^8 - 19293880/33*c_1001_3^7 - 55458152/33*c_1001_3^6 - 135405983/33*c_1001_3^5 - 58668989/11*c_1001_3^4 - 42089469/11*c_1001_3^3 - 50140810/33*c_1001_3^2 - 10280891/33*c_1001_3 - 847745/33, c_0110_6 + 35941/33*c_1001_3^11 - 11948/33*c_1001_3^10 + 435253/33*c_1001_3^9 + 137146/3*c_1001_3^8 + 2373625/33*c_1001_3^7 + 6794141/33*c_1001_3^6 + 16609976/33*c_1001_3^5 + 7227973/11*c_1001_3^4 + 5215456/11*c_1001_3^3 + 6260182/33*c_1001_3^2 + 1295453/33*c_1001_3 + 107951/33, c_1001_3^12 + 12*c_1001_3^10 + 46*c_1001_3^9 + 80*c_1001_3^8 + 211*c_1001_3^7 + 525*c_1001_3^6 + 757*c_1001_3^5 + 636*c_1001_3^4 + 319*c_1001_3^3 + 94*c_1001_3^2 + 15*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.560 seconds, Total memory usage: 32.09MB