Magma V2.19-8 Wed Aug 21 2013 00:14:26 on localhost [Seed = 3516382529] Type ? for help. Type -D to quit. Loading file "K13n3960__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3960 geometric_solution 12.27686443 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 8 -9 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290029234667 0.719499591056 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 8 -8 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223799454515 1.290179581968 5 0 6 7 0132 0132 0132 0132 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 -1 1 0 9 0 0 -9 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.494973286438 1.107371390775 7 8 9 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 8 -8 1 0 -1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711913704200 0.836012585096 9 8 0 10 0132 0321 0132 0132 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 9 -9 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 0.741942784576 0.690662748527 2 1 11 8 0132 0132 0132 2310 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 0 0 0 -9 0 0 9 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168328404230 0.793950722801 11 10 1 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 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 1 0 -1 -8 0 8 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290029234667 0.719499591056 3 12 2 1 0132 0132 0132 0132 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 0 0 0 -1 0 9 -8 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168328404230 0.793950722801 5 3 12 4 3201 0132 0132 0321 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684853218609 0.888869158126 4 10 11 3 0132 0132 2310 0132 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 8 -8 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044700430950 0.841201653776 12 9 4 6 2103 0132 0132 3201 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 9 -9 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741942784576 0.690662748527 6 9 12 5 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 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 8 0 -8 0 0 -8 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711913704200 0.836012585096 11 7 10 8 2310 0132 2103 0132 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 1 0 0 -1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684853218609 0.888869158126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_1001_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' : 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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_10']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_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' : negation(d['c_0110_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_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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_10'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_1001_0, c_1001_10, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 42002809423/70434848*c_1100_1^11 - 149499668039/70434848*c_1100_1^10 + 2206544885979/70434848*c_1100_1^9 - 4587730362203/70434848*c_1100_1^8 - 477427877301/2201089*c_1100_1^7 + 8210544863515/8804356*c_1100_1^6 - 5329573184149/4402178*c_1100_1^5 + 5279064567181/8804356*c_1100_1^4 - 4528668135655/70434848*c_1100_1^3 - 1842597858049/70434848*c_1100_1^2 + 118061292677/70434848*c_1100_1 - 54528254021/70434848, c_0011_0 - 1, c_0011_10 - 16685/43912*c_1100_1^11 + 56105/43912*c_1100_1^10 - 432163/21956*c_1100_1^9 + 1648629/43912*c_1100_1^8 + 6452619/43912*c_1100_1^7 - 24932557/43912*c_1100_1^6 + 28509931/43912*c_1100_1^5 - 9510251/43912*c_1100_1^4 - 942533/21956*c_1100_1^3 + 129540/5489*c_1100_1^2 + 72099/43912*c_1100_1 + 20615/21956, c_0011_11 + 47/21956*c_1100_1^11 - 1395/21956*c_1100_1^10 + 13791/43912*c_1100_1^9 - 139215/43912*c_1100_1^8 + 29824/5489*c_1100_1^7 + 131308/5489*c_1100_1^6 - 2054587/21956*c_1100_1^5 + 2536051/21956*c_1100_1^4 - 1055675/21956*c_1100_1^3 - 102417/21956*c_1100_1^2 + 242455/43912*c_1100_1 + 4329/43912, c_0011_12 - 3451/21956*c_1100_1^11 + 11513/21956*c_1100_1^10 - 355607/43912*c_1100_1^9 + 668473/43912*c_1100_1^8 + 344308/5489*c_1100_1^7 - 1294160/5489*c_1100_1^6 + 5489051/21956*c_1100_1^5 - 901757/21956*c_1100_1^4 - 1289449/21956*c_1100_1^3 + 317971/21956*c_1100_1^2 + 230689/43912*c_1100_1 + 11137/43912, c_0101_0 + 445/3992*c_1100_1^11 - 1869/3992*c_1100_1^10 + 12097/1996*c_1100_1^9 - 62973/3992*c_1100_1^8 - 140875/3992*c_1100_1^7 + 816473/3992*c_1100_1^6 - 1271207/3992*c_1100_1^5 + 756087/3992*c_1100_1^4 - 22161/1996*c_1100_1^3 - 23195/998*c_1100_1^2 + 20185/3992*c_1100_1 + 89/1996, c_0101_1 - 3191/21956*c_1100_1^11 + 487/998*c_1100_1^10 - 329865/43912*c_1100_1^9 + 313383/21956*c_1100_1^8 + 1252037/21956*c_1100_1^7 - 4794421/21956*c_1100_1^6 + 5307205/21956*c_1100_1^5 - 653611/10978*c_1100_1^4 - 230316/5489*c_1100_1^3 + 382185/21956*c_1100_1^2 + 44723/43912*c_1100_1 - 10751/21956, c_0101_10 - 38391/175648*c_1100_1^11 + 134971/175648*c_1100_1^10 - 2011171/175648*c_1100_1^9 + 4105125/175648*c_1100_1^8 + 7066515/87824*c_1100_1^7 - 29730401/87824*c_1100_1^6 + 37755353/87824*c_1100_1^5 - 17594645/87824*c_1100_1^4 + 1688545/175648*c_1100_1^3 + 3091263/175648*c_1100_1^2 - 83389/15968*c_1100_1 + 187613/175648, c_0101_11 + 5655/21956*c_1100_1^11 - 4677/5489*c_1100_1^10 + 583699/43912*c_1100_1^9 - 542673/21956*c_1100_1^8 - 2220663/21956*c_1100_1^7 + 8335673/21956*c_1100_1^6 - 9192335/21956*c_1100_1^5 + 1310333/10978*c_1100_1^4 + 495211/10978*c_1100_1^3 - 482555/21956*c_1100_1^2 - 41425/43912*c_1100_1 + 5309/21956, c_0110_10 - 2971/21956*c_1100_1^11 + 2396/5489*c_1100_1^10 - 611983/87824*c_1100_1^9 + 1095141/87824*c_1100_1^8 + 2332201/43912*c_1100_1^7 - 8500909/43912*c_1100_1^6 + 4658957/21956*c_1100_1^5 - 1566349/21956*c_1100_1^4 - 130629/43912*c_1100_1^3 + 110287/43912*c_1100_1^2 + 51679/87824*c_1100_1 + 38859/87824, c_1001_0 - 2851/10978*c_1100_1^11 + 20103/21956*c_1100_1^10 - 298745/21956*c_1100_1^9 + 1224561/43912*c_1100_1^8 + 2101367/21956*c_1100_1^7 - 8860905/21956*c_1100_1^6 + 5623461/10978*c_1100_1^5 - 5156717/21956*c_1100_1^4 + 65253/21956*c_1100_1^3 + 146243/5489*c_1100_1^2 - 122471/21956*c_1100_1 + 28965/43912, c_1001_10 + 8825/175648*c_1100_1^11 - 1911/15968*c_1100_1^10 + 429287/175648*c_1100_1^9 - 425393/175648*c_1100_1^8 - 2105255/87824*c_1100_1^7 + 4920225/87824*c_1100_1^6 - 1381911/87824*c_1100_1^5 - 4478501/87824*c_1100_1^4 + 6635693/175648*c_1100_1^3 - 921077/175648*c_1100_1^2 - 631313/175648*c_1100_1 + 150811/175648, c_1001_5 + 65/5489*c_1100_1^11 - 799/21956*c_1100_1^10 + 12871/21956*c_1100_1^9 - 41707/43912*c_1100_1^8 - 125195/21956*c_1100_1^7 + 382219/21956*c_1100_1^6 - 90923/10978*c_1100_1^5 - 405465/21956*c_1100_1^4 + 368185/21956*c_1100_1^3 + 32107/10978*c_1100_1^2 - 6457/1996*c_1100_1 + 11273/43912, c_1100_1^12 - 4*c_1100_1^11 + 54*c_1100_1^10 - 132*c_1100_1^9 - 321*c_1100_1^8 + 1736*c_1100_1^7 - 2684*c_1100_1^6 + 1736*c_1100_1^5 - 321*c_1100_1^4 - 132*c_1100_1^3 + 54*c_1100_1^2 - 4*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.470 Total time: 3.669 seconds, Total memory usage: 84.88MB