Magma V2.19-8 Wed Aug 21 2013 00:52:50 on localhost [Seed = 1899455738] Type ? for help. Type -D to quit. Loading file "L12n1102__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1102 geometric_solution 12.04485481 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 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 -1 0 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627751295929 0.854496449509 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 1 -1 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 7 -7 0 0 0 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441619582069 0.760068657273 5 0 5 6 0132 0132 3012 0132 1 1 1 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 -1 0 0 -7 7 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266705007585 0.634357073396 7 8 9 0 0132 0132 0132 0132 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672260777683 0.398326478901 7 10 1 8 2103 0132 0132 1230 1 1 1 1 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 0 7 -7 0 0 0 0 -6 0 0 6 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584175561794 0.589995091678 2 2 9 1 0132 1230 1302 0132 1 1 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 0 0 0 0 0 0 0 0 7 0 -7 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 0.779992817262 0.674754315721 11 12 2 7 0132 0132 0132 2103 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 1 -1 1 0 -7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674225481260 1.446350879885 3 11 4 6 0132 0213 2103 2103 1 1 1 1 0 -1 1 0 1 0 0 -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 -6 6 0 6 0 0 -6 0 -1 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700222768586 1.009149549571 4 3 10 12 3012 0132 1302 2310 1 1 1 1 0 0 0 0 1 0 -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 7 0 -7 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667578282203 1.295923609635 5 12 10 3 2031 2310 2031 0132 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726312268389 0.842761681478 8 4 11 9 2031 0132 0213 1302 1 1 1 1 0 0 1 -1 0 0 0 0 -1 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 6 -6 0 0 0 0 -6 6 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041824386365 0.848650249934 6 10 7 12 0132 0213 0213 3012 1 1 1 1 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 0 -6 6 0 -1 0 1 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085707301026 0.864864594537 8 6 11 9 3201 0132 1230 3201 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 0.303501238700 0.290707955718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_10'], 'c_1001_3' : negation(d['c_0110_12']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : 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' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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' : negation(d['c_1001_4']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_12']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_10'], 'c_1010_2' : d['c_0110_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0110_12']), 'c_1100_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0110_10, c_0110_12, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2198956213059382099584079/508352226176916828520*c_1001_4^10 + 23269991249901601853567847/508352226176916828520*c_1001_4^9 - 110806016204599885465279569/508352226176916828520*c_1001_4^8 + 152407633194967524065828251/254176113088458414260*c_1001_4^7 - 288718454175814437920748329/254176113088458414260*c_1001_4^6 + 783876337647066494592095019/508352226176916828520*c_1001_4^5 - 773176402032246377367940443/508352226176916828520*c_1001_4^4 + 547489439721613180536338967/508352226176916828520*c_1001_4^3 - 33439303507927307281999619/63544028272114603565*c_1001_4^2 + 16333201314813902504849243/101670445235383365704*c_1001_4 - 6037799307021820641568721/254176113088458414260, c_0011_0 - 1, c_0011_10 + 6640468420014/457577438557*c_1001_4^10 - 73947755246796/457577438557*c_1001_4^9 + 370018276013524/457577438557*c_1001_4^8 - 1071233217613005/457577438557*c_1001_4^7 + 2102485808546825/457577438557*c_1001_4^6 - 2961333342903087/457577438557*c_1001_4^5 + 3014003469654024/457577438557*c_1001_4^4 - 2197247822257748/457577438557*c_1001_4^3 + 1098830606246563/457577438557*c_1001_4^2 - 340516918802783/457577438557*c_1001_4 + 49345289113288/457577438557, c_0011_11 + 10241993330309/457577438557*c_1001_4^10 - 114203564793800/457577438557*c_1001_4^9 + 572258654246168/457577438557*c_1001_4^8 - 1659284951359047/457577438557*c_1001_4^7 + 3260196364562009/457577438557*c_1001_4^6 - 4594611997609018/457577438557*c_1001_4^5 + 4676136018063523/457577438557*c_1001_4^4 - 3404807736087852/457577438557*c_1001_4^3 + 1697413075006847/457577438557*c_1001_4^2 - 523304769941998/457577438557*c_1001_4 + 75281415137758/457577438557, c_0011_3 - 10741767440365/457577438557*c_1001_4^10 + 118641833759891/457577438557*c_1001_4^9 - 588369014272060/457577438557*c_1001_4^8 + 1685693792665372/457577438557*c_1001_4^7 - 3276875175099197/457577438557*c_1001_4^6 + 4567488279169772/457577438557*c_1001_4^5 - 4591015646603181/457577438557*c_1001_4^4 + 3297916005403864/457577438557*c_1001_4^3 - 1616172798343123/457577438557*c_1001_4^2 + 486693045510431/457577438557*c_1001_4 - 67047049544092/457577438557, c_0011_9 + 15009345214825/457577438557*c_1001_4^10 - 166628853345690/457577438557*c_1001_4^9 + 830795685963517/457577438557*c_1001_4^8 - 2394598081509074/457577438557*c_1001_4^7 + 4678872111666333/457577438557*c_1001_4^6 - 6557162640270716/457577438557*c_1001_4^5 + 6631498072410022/457577438557*c_1001_4^4 - 4796857070480116/457577438557*c_1001_4^3 + 2373267907774342/457577438557*c_1001_4^2 - 723985654959955/457577438557*c_1001_4 + 102770525663685/457577438557, c_0101_0 - 1, c_0101_1 - 16981820702366/2287887192785*c_1001_4^10 + 180635859931613/2287887192785*c_1001_4^9 - 858253149032986/2287887192785*c_1001_4^8 + 2334084350326518/2287887192785*c_1001_4^7 - 4321123074491772/2287887192785*c_1001_4^6 + 5712670400453396/2287887192785*c_1001_4^5 - 5395067378698777/2287887192785*c_1001_4^4 + 3618970777562928/2287887192785*c_1001_4^3 - 1626316154647613/2287887192785*c_1001_4^2 + 88040511380634/457577438557*c_1001_4 - 50383238257533/2287887192785, c_0101_12 - 187798438737/457577438557*c_1001_4^10 + 3058033696455/457577438557*c_1001_4^9 - 20427143379900/457577438557*c_1001_4^8 + 75837045532356/457577438557*c_1001_4^7 - 177103447335234/457577438557*c_1001_4^6 + 290194355439515/457577438557*c_1001_4^5 - 340820658946321/457577438557*c_1001_4^4 + 282839874183459/457577438557*c_1001_4^3 - 162510608890069/457577438557*c_1001_4^2 + 58376850209663/457577438557*c_1001_4 - 10562795971369/457577438557, c_0101_3 - 15009345214825/457577438557*c_1001_4^10 + 166628853345690/457577438557*c_1001_4^9 - 830795685963517/457577438557*c_1001_4^8 + 2394598081509074/457577438557*c_1001_4^7 - 4678872111666333/457577438557*c_1001_4^6 + 6557162640270716/457577438557*c_1001_4^5 - 6631498072410022/457577438557*c_1001_4^4 + 4796857070480116/457577438557*c_1001_4^3 - 2373267907774342/457577438557*c_1001_4^2 + 724443232398512/457577438557*c_1001_4 - 103228103102242/457577438557, c_0110_10 + 1709762455609/457577438557*c_1001_4^10 - 19979788736250/457577438557*c_1001_4^9 + 105249783072557/457577438557*c_1001_4^8 - 322937439057473/457577438557*c_1001_4^7 + 667758116614962/457577438557*c_1001_4^6 - 991049063386717/457577438557*c_1001_4^5 + 1067872013016526/457577438557*c_1001_4^4 - 826185120623948/457577438557*c_1001_4^3 + 441343675458648/457577438557*c_1001_4^2 - 147598731511555/457577438557*c_1001_4 + 23736084950601/457577438557, c_0110_12 + 15970065609251/457577438557*c_1001_4^10 - 177800556084474/457577438557*c_1001_4^9 + 889278883475498/457577438557*c_1001_4^8 - 2572657120825122/457577438557*c_1001_4^7 + 5044437599117976/457577438557*c_1001_4^6 - 7097264505889388/457577438557*c_1001_4^5 + 7212437335331307/457577438557*c_1001_4^4 - 5247408911398104/457577438557*c_1001_4^3 + 2617506435772255/457577438557*c_1001_4^2 - 808202249261026/457577438557*c_1001_4 + 116735635907685/457577438557, c_1001_12 + 10224065421999/457577438557*c_1001_4^10 - 111776352703715/457577438557*c_1001_4^9 + 547701617650803/457577438557*c_1001_4^8 - 1545599902720788/457577438557*c_1001_4^7 + 2958641706974683/457577438557*c_1001_4^6 - 4053583515843099/457577438557*c_1001_4^5 + 3989908500910214/457577438557*c_1001_4^4 - 2795496744324007/457577438557*c_1001_4^3 + 1326728324959976/457577438557*c_1001_4^2 - 383055119211209/457577438557*c_1001_4 + 49158002548172/457577438557, c_1001_4^11 - 152/13*c_1001_4^10 + 807/13*c_1001_4^9 - 194*c_1001_4^8 + 5385/13*c_1001_4^7 - 643*c_1001_4^6 + 9614/13*c_1001_4^5 - 8205/13*c_1001_4^4 + 5098/13*c_1001_4^3 - 2204/13*c_1001_4^2 + 599/13*c_1001_4 - 79/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.750 Total time: 1.960 seconds, Total memory usage: 32.09MB