Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 829467920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s251 geometric_solution 4.41519193 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 2310 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 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 5.111640672577 2.288771884150 0 2 2 0 3201 0132 3201 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 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 0 0 0 0 -0.225574246513 0.219743388666 1 1 3 4 2310 0132 0132 0132 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 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 0.778539600421 1.623401840931 4 5 4 2 1302 0132 1230 0132 0 0 0 0 0 0 0 0 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 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 0.613574157216 0.575374832740 5 3 2 3 3201 2031 0132 3012 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 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 0.613574157216 0.575374832740 5 3 5 4 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419591615648 0.641223401715 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 162825181616764/13690953816285*c_0110_4^16 + 41893082884156/4563651272095*c_0110_4^15 + 90207160436963/2738190763257*c_0110_4^14 + 205511879350198/13690953816285*c_0110_4^13 + 233311608763721/13690953816285*c_0110_4^12 - 3535733286489898/13690953816285*c_0110_4^11 - 1555423170160349/13690953816285*c_0110_4^10 - 3773786272280188/13690953816285*c_0110_4^9 - 3957061642074317/13690953816285*c_0110_4^8 + 7764182812936864/13690953816285*c_0110_4^7 + 10418913586129084/13690953816285*c_0110_4^6 + 1303305300006644/13690953816285*c_0110_4^5 - 1269476911057481/2738190763257*c_0110_4^4 - 191340160646622/4563651272095*c_0110_4^3 - 224452785601283/4563651272095*c_0110_4^2 - 1772058109572244/13690953816285*c_0110_4 + 404096890923097/4563651272095, c_0011_0 - 1, c_0011_1 + 1886215012/7186852397*c_0110_4^16 + 3400392879/7186852397*c_0110_4^15 + 8249960238/7186852397*c_0110_4^14 + 10570839684/7186852397*c_0110_4^13 + 11886952440/7186852397*c_0110_4^12 - 29160237980/7186852397*c_0110_4^11 - 50116714937/7186852397*c_0110_4^10 - 84523831735/7186852397*c_0110_4^9 - 131664057935/7186852397*c_0110_4^8 - 25103240953/7186852397*c_0110_4^7 + 100102129581/7186852397*c_0110_4^6 + 112094184604/7186852397*c_0110_4^5 + 10984618036/7186852397*c_0110_4^4 + 714001829/7186852397*c_0110_4^3 - 2877327854/7186852397*c_0110_4^2 - 19225769138/7186852397*c_0110_4 + 3136742344/7186852397, c_0011_3 - 282315223180/912730254419*c_0110_4^16 - 139007591159/912730254419*c_0110_4^15 - 826190126737/912730254419*c_0110_4^14 - 112785824870/912730254419*c_0110_4^13 - 589637243933/912730254419*c_0110_4^12 + 6458808559005/912730254419*c_0110_4^11 + 786052182936/912730254419*c_0110_4^10 + 8515492060338/912730254419*c_0110_4^9 + 3680424835033/912730254419*c_0110_4^8 - 11792656701275/912730254419*c_0110_4^7 - 15882617416881/912730254419*c_0110_4^6 - 2374778812822/912730254419*c_0110_4^5 + 7314033226132/912730254419*c_0110_4^4 - 1159310975115/912730254419*c_0110_4^3 + 3045306951883/912730254419*c_0110_4^2 + 831638853832/912730254419*c_0110_4 - 256575583644/912730254419, c_0101_1 - 164003349481/912730254419*c_0110_4^16 - 265818205248/912730254419*c_0110_4^15 - 662261110757/912730254419*c_0110_4^14 - 750340803308/912730254419*c_0110_4^13 - 828592974293/912730254419*c_0110_4^12 + 2875195390155/912730254419*c_0110_4^11 + 3975042368362/912730254419*c_0110_4^10 + 6747452849787/912730254419*c_0110_4^9 + 9322378893687/912730254419*c_0110_4^8 - 179379700811/912730254419*c_0110_4^7 - 11033891263649/912730254419*c_0110_4^6 - 9051941112807/912730254419*c_0110_4^5 + 306148972616/912730254419*c_0110_4^4 + 2170671747401/912730254419*c_0110_4^3 + 899331361553/912730254419*c_0110_4^2 + 2020577320979/912730254419*c_0110_4 - 71101333115/912730254419, c_0101_2 + 742164170/7186852397*c_0110_4^16 - 670870479/7186852397*c_0110_4^15 + 869961776/7186852397*c_0110_4^14 - 4124229541/7186852397*c_0110_4^13 - 2690484804/7186852397*c_0110_4^12 - 23981621972/7186852397*c_0110_4^11 + 14775991680/7186852397*c_0110_4^10 - 8758421966/7186852397*c_0110_4^9 + 38722087440/7186852397*c_0110_4^8 + 86573773948/7186852397*c_0110_4^7 + 57514829907/7186852397*c_0110_4^6 - 19100843950/7186852397*c_0110_4^5 - 49789103601/7186852397*c_0110_4^4 - 4562611095/7186852397*c_0110_4^3 - 27096288179/7186852397*c_0110_4^2 - 6196646686/7186852397*c_0110_4 + 3574474580/7186852397, c_0110_4^17 + c_0110_4^16 + 3*c_0110_4^15 + 2*c_0110_4^14 + 2*c_0110_4^13 - 21*c_0110_4^12 - 14*c_0110_4^11 - 26*c_0110_4^10 - 31*c_0110_4^9 + 39*c_0110_4^8 + 70*c_0110_4^7 + 20*c_0110_4^6 - 36*c_0110_4^5 - 9*c_0110_4^4 - 2*c_0110_4^3 - 10*c_0110_4^2 + 5*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB