Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 610418698] Type ? for help. Type -D to quit. Loading file "K13n282__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n282 geometric_solution 8.38356351 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 1 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 1.460022265263 0.989397920221 0 3 5 5 0132 3120 0213 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 -1 -1 2 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 0.582799913678 0.918433724512 3 0 6 3 2031 0132 0132 1230 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 -1 0 0 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 0.681213460524 0.886205665052 2 1 2 0 3012 3120 1302 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 0 1 -1 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 0.359404519592 0.999120984942 7 7 0 6 0132 2310 0132 1230 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 0 0 0 -0.387933499564 1.034290154583 6 1 1 8 2031 0213 0132 0132 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 -2 1 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 0.409993862672 0.902569780462 4 8 5 2 3012 2310 1302 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 0 -1 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 0.908682886533 0.453185753739 4 9 9 4 0132 0132 3201 3201 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 0 0 0 -0.193557968362 0.541819846986 9 9 5 6 2031 1302 0132 3201 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 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 1.175910929988 1.150352740779 7 7 8 8 2310 0132 1302 2031 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 0 0 0 2.365344576906 1.372418663866 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_8, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 8181106567395/8717529946622*c_0110_8^17 + 5587354993172/4358764973311*c_0110_8^16 + 57337756525068/4358764973311*c_0110_8^15 + 19643820862279/1245361420946*c_0110_8^14 + 620735348585505/8717529946622*c_0110_8^13 + 314837333737193/4358764973311*c_0110_8^12 + 27179405412729/150302240459*c_0110_8^11 + 1254023011942391/8717529946622*c_0110_8^10 + 835094798691724/4358764973311*c_0110_8^9 + 391751827824192/4358764973311*c_0110_8^8 - 66524621866551/8717529946622*c_0110_8^7 - 276498272605796/4358764973311*c_0110_8^6 - 1167373703219469/8717529946622*c_0110_8^5 - 298399140228137/4358764973311*c_0110_8^4 - 188590108778738/4358764973311*c_0110_8^3 - 48384419964275/4358764973311*c_0110_8^2 - 1876229194899/1245361420946*c_0110_8 + 387870537927/8717529946622, c_0011_0 - 1, c_0011_3 - 37643/20909*c_0110_8^17 - 66947/20909*c_0110_8^16 - 623219/20909*c_0110_8^15 - 141048/2987*c_0110_8^14 - 4266336/20909*c_0110_8^13 - 5923476/20909*c_0110_8^12 - 537541/721*c_0110_8^11 - 18555461/20909*c_0110_8^10 - 32711675/20909*c_0110_8^9 - 32357406/20909*c_0110_8^8 - 39394657/20909*c_0110_8^7 - 30886768/20909*c_0110_8^6 - 25548693/20909*c_0110_8^5 - 14625447/20909*c_0110_8^4 - 7567093/20909*c_0110_8^3 - 2472011/20909*c_0110_8^2 - 98697/2987*c_0110_8 - 65241/20909, c_0011_4 + 173/721*c_0110_8^17 + 781/721*c_0110_8^16 + 3667/721*c_0110_8^15 + 1755/103*c_0110_8^14 + 31337/721*c_0110_8^13 + 79566/721*c_0110_8^12 + 141223/721*c_0110_8^11 + 273451/721*c_0110_8^10 + 364975/721*c_0110_8^9 + 535141/721*c_0110_8^8 + 546934/721*c_0110_8^7 + 593210/721*c_0110_8^6 + 454306/721*c_0110_8^5 + 346428/721*c_0110_8^4 + 184015/721*c_0110_8^3 + 87845/721*c_0110_8^2 + 3351/103*c_0110_8 + 6576/721, c_0011_5 - 11706/20909*c_0110_8^17 - 6723/20909*c_0110_8^16 - 169821/20909*c_0110_8^15 - 10810/2987*c_0110_8^14 - 974941/20909*c_0110_8^13 - 274690/20909*c_0110_8^12 - 94978/721*c_0110_8^11 - 119137/20909*c_0110_8^10 - 3693471/20909*c_0110_8^9 + 1582768/20909*c_0110_8^8 - 1164307/20909*c_0110_8^7 + 4047143/20909*c_0110_8^6 + 2276910/20909*c_0110_8^5 + 3927516/20909*c_0110_8^4 + 2122000/20909*c_0110_8^3 + 1551111/20909*c_0110_8^2 + 51749/2987*c_0110_8 + 166428/20909, c_0011_6 - 30109/20909*c_0110_8^17 - 59062/20909*c_0110_8^16 - 505359/20909*c_0110_8^15 - 125862/2987*c_0110_8^14 - 3518867/20909*c_0110_8^13 - 5366147/20909*c_0110_8^12 - 453189/721*c_0110_8^11 - 17166097/20909*c_0110_8^10 - 28411577/20909*c_0110_8^9 - 30878108/20909*c_0110_8^8 - 35740996/20909*c_0110_8^7 - 30977938/20909*c_0110_8^6 - 24894612/20909*c_0110_8^5 - 16040460/20909*c_0110_8^4 - 8456449/20909*c_0110_8^3 - 3385933/20909*c_0110_8^2 - 146926/2987*c_0110_8 - 204677/20909, c_0011_8 - 17564/20909*c_0110_8^17 - 43321/20909*c_0110_8^16 - 310790/20909*c_0110_8^15 - 94098/2987*c_0110_8^14 - 2284059/20909*c_0110_8^13 - 4099674/20909*c_0110_8^12 - 310836/721*c_0110_8^11 - 13442375/20909*c_0110_8^10 - 20616798/20909*c_0110_8^9 - 24874193/20909*c_0110_8^8 - 27473455/20909*c_0110_8^7 - 25784142/20909*c_0110_8^6 - 20298198/20909*c_0110_8^5 - 13877585/20909*c_0110_8^4 - 7314948/20909*c_0110_8^3 - 3121775/20909*c_0110_8^2 - 125673/2987*c_0110_8 - 202365/20909, c_0101_0 - 40965/20909*c_0110_8^17 - 61010/20909*c_0110_8^16 - 658830/20909*c_0110_8^15 - 125985/2987*c_0110_8^14 - 4360399/20909*c_0110_8^13 - 5154938/20909*c_0110_8^12 - 527507/721*c_0110_8^11 - 15594350/20909*c_0110_8^10 - 30499720/20909*c_0110_8^9 - 25890201/20909*c_0110_8^8 - 34300870/20909*c_0110_8^7 - 22917117/20909*c_0110_8^6 - 20120839/20909*c_0110_8^5 - 9434132/20909*c_0110_8^4 - 5011899/20909*c_0110_8^3 - 927562/20909*c_0110_8^2 - 52544/2987*c_0110_8 + 87820/20909, c_0101_2 + 32626/20909*c_0110_8^17 + 44298/20909*c_0110_8^16 + 516876/20909*c_0110_8^15 + 90153/2987*c_0110_8^14 + 3357563/20909*c_0110_8^13 + 3616062/20909*c_0110_8^12 + 396318/721*c_0110_8^11 + 10625382/20909*c_0110_8^10 + 22127400/20909*c_0110_8^9 + 16838317/20909*c_0110_8^8 + 23554480/20909*c_0110_8^7 + 13683678/20909*c_0110_8^6 + 12499273/20909*c_0110_8^5 + 4579035/20909*c_0110_8^4 + 2439748/20909*c_0110_8^3 - 75494/20909*c_0110_8^2 + 13466/2987*c_0110_8 - 125463/20909, c_0101_8 - 25927/20909*c_0110_8^17 - 56478/20909*c_0110_8^16 - 445826/20909*c_0110_8^15 - 120835/2987*c_0110_8^14 - 3174457/20909*c_0110_8^13 - 5173478/20909*c_0110_8^12 - 417297/721*c_0110_8^11 - 16623423/20909*c_0110_8^10 - 26653082/20909*c_0110_8^9 - 30043264/20909*c_0110_8^8 - 34093428/20909*c_0110_8^7 - 30292123/20909*c_0110_8^6 - 24098287/20909*c_0110_8^5 - 15773267/20909*c_0110_8^4 - 8284930/20909*c_0110_8^3 - 3371649/20909*c_0110_8^2 - 141124/2987*c_0110_8 - 205833/20909, c_0110_8^18 + 2*c_0110_8^17 + 17*c_0110_8^16 + 30*c_0110_8^15 + 120*c_0110_8^14 + 184*c_0110_8^13 + 455*c_0110_8^12 + 594*c_0110_8^11 + 1001*c_0110_8^10 + 1082*c_0110_8^9 + 1287*c_0110_8^8 + 1106*c_0110_8^7 + 924*c_0110_8^6 + 591*c_0110_8^5 + 330*c_0110_8^4 + 134*c_0110_8^3 + 45*c_0110_8^2 + 9*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB