Magma V2.19-8 Wed Aug 21 2013 01:05:30 on localhost [Seed = 189600655] Type ? for help. Type -D to quit. Loading file "L14n26011__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26011 geometric_solution 11.04942739 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.469553553154 0.425090829451 0 5 2 6 0132 0132 2031 0132 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 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 0.663193608482 0.435954798557 7 0 8 1 0132 0132 0132 1302 0 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 -8 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663193608482 0.435954798557 9 10 10 0 0132 0132 1230 0132 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 0 0 0 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 0 0 0 -1.172439649199 0.451875702350 9 11 0 10 1230 0132 0132 1230 0 0 1 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 -1 -1 2 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 0.534249862335 0.588199143529 12 1 8 7 0132 0132 1302 3012 1 0 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 1 0 -1 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 0.947115108348 0.692120996001 12 7 1 10 3012 1302 0132 3012 1 0 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 0 0 0 0 0 0 0 0 2 0 -2 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554879397197 0.718223709289 2 11 5 6 0132 1023 1230 2031 0 1 1 1 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 0 2 0 -2 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947115108348 0.692120996001 5 11 9 2 2031 0321 2031 0132 0 1 1 0 0 0 0 0 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 0 0 0 0 0 0 9 0 0 -9 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554879397197 0.718223709289 3 4 12 8 0132 3012 3012 1302 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 0 0 0 0 0 0 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 0.400165886808 1.771529604018 4 3 6 3 3012 0132 1230 3012 0 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 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338402486004 0.317613103303 7 4 12 8 1023 0132 1023 0321 0 0 1 1 0 -1 1 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 0 0 0 0 1 -1 0 -2 0 0 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961964657199 1.140431964113 5 9 11 6 0132 1230 1023 1230 0 0 1 1 0 0 0 0 1 0 -1 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 0 0 0 -1 0 1 0 -9 1 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961964657199 1.140431964113 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(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' : negation(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' : negation(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_0101_11']), 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 437144881942177/276447737862*c_1001_0^11 - 166524280387067387/48654801863712*c_1001_0^10 - 10643413939787221/3040925116482*c_1001_0^9 + 648253015895541743/48654801863712*c_1001_0^8 + 175497258571204313/48654801863712*c_1001_0^7 - 39317044380734974/1520462558241*c_1001_0^6 + 338626441955591945/48654801863712*c_1001_0^5 + 771086788779664889/48654801863712*c_1001_0^4 - 17554889419618639/4423163805792*c_1001_0^3 - 279218142488999369/48654801863712*c_1001_0^2 + 81319462649030059/16218267287904*c_1001_0 - 85960104329262545/48654801863712, c_0011_0 - 1, c_0011_10 + 598530446/5119402553*c_1001_0^11 + 9030977020/56313428083*c_1001_0^10 - 47902361459/56313428083*c_1001_0^9 - 18934982238/56313428083*c_1001_0^8 + 152560463219/56313428083*c_1001_0^7 + 41672260937/56313428083*c_1001_0^6 - 223603403790/56313428083*c_1001_0^5 - 7473000600/56313428083*c_1001_0^4 + 10525193466/5119402553*c_1001_0^3 - 13622857005/56313428083*c_1001_0^2 - 7962174930/56313428083*c_1001_0 + 43855999141/56313428083, c_0011_6 + 40785025503/5119402553*c_1001_0^11 - 971303841753/56313428083*c_1001_0^10 - 990441696826/56313428083*c_1001_0^9 + 3785265546965/56313428083*c_1001_0^8 + 1002180448629/56313428083*c_1001_0^7 - 7338199048986/56313428083*c_1001_0^6 + 2032197958602/56313428083*c_1001_0^5 + 4507965489283/56313428083*c_1001_0^4 - 109422358980/5119402553*c_1001_0^3 - 1621729730255/56313428083*c_1001_0^2 + 1453471175611/56313428083*c_1001_0 - 449623673692/56313428083, c_0101_0 - 1, c_0101_1 - c_1001_0, c_0101_10 + 2076238157/5119402553*c_1001_0^11 - 53627071647/56313428083*c_1001_0^10 - 17960119021/56313428083*c_1001_0^9 + 168026406869/56313428083*c_1001_0^8 - 58383507221/56313428083*c_1001_0^7 - 244001024768/56313428083*c_1001_0^6 + 319888173975/56313428083*c_1001_0^5 - 45046922288/56313428083*c_1001_0^4 - 15779277560/5119402553*c_1001_0^3 + 61794936044/56313428083*c_1001_0^2 + 154807431556/56313428083*c_1001_0 - 68173081483/56313428083, c_0101_11 - 2076238157/5119402553*c_1001_0^11 + 53627071647/56313428083*c_1001_0^10 + 17960119021/56313428083*c_1001_0^9 - 168026406869/56313428083*c_1001_0^8 + 58383507221/56313428083*c_1001_0^7 + 244001024768/56313428083*c_1001_0^6 - 319888173975/56313428083*c_1001_0^5 + 45046922288/56313428083*c_1001_0^4 + 15779277560/5119402553*c_1001_0^3 - 61794936044/56313428083*c_1001_0^2 - 154807431556/56313428083*c_1001_0 + 68173081483/56313428083, c_0101_2 - 91942825609/10238805106*c_1001_0^11 + 1112221989863/56313428083*c_1001_0^10 + 2196382470619/112626856166*c_1001_0^9 - 8634937585157/112626856166*c_1001_0^8 - 1069852365290/56313428083*c_1001_0^7 + 16808437328959/112626856166*c_1001_0^6 - 4716306562333/112626856166*c_1001_0^5 - 10426116589747/112626856166*c_1001_0^4 + 240451535465/10238805106*c_1001_0^3 + 4099141078823/112626856166*c_1001_0^2 - 3202284470885/112626856166*c_1001_0 + 489152690522/56313428083, c_0101_3 - 1800411368/5119402553*c_1001_0^11 + 49152442681/56313428083*c_1001_0^10 + 33279787163/56313428083*c_1001_0^9 - 182867523931/56313428083*c_1001_0^8 - 3431112904/56313428083*c_1001_0^7 + 345478744491/56313428083*c_1001_0^6 - 164656784834/56313428083*c_1001_0^5 - 171132564406/56313428083*c_1001_0^4 + 10348926685/5119402553*c_1001_0^3 + 26659962009/56313428083*c_1001_0^2 - 69175557005/56313428083*c_1001_0 + 47447181817/56313428083, c_0101_7 + 40172542085/10238805106*c_1001_0^11 - 500562868851/56313428083*c_1001_0^10 - 927116278179/112626856166*c_1001_0^9 + 3886618417151/112626856166*c_1001_0^8 + 376321181180/56313428083*c_1001_0^7 - 7604032069273/112626856166*c_1001_0^6 + 2519033587373/112626856166*c_1001_0^5 + 4710459158605/112626856166*c_1001_0^4 - 155329782999/10238805106*c_1001_0^3 - 1762628112001/112626856166*c_1001_0^2 + 1800663417783/112626856166*c_1001_0 - 275828476827/56313428083, c_0110_10 - c_1001_0^2 + 1, c_1001_0^12 - 29/11*c_1001_0^11 - 13/11*c_1001_0^10 + 104/11*c_1001_0^9 - 19/11*c_1001_0^8 - 191/11*c_1001_0^7 + 134/11*c_1001_0^6 + 86/11*c_1001_0^5 - 80/11*c_1001_0^4 - 26/11*c_1001_0^3 + 54/11*c_1001_0^2 - 29/11*c_1001_0 + 6/11, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.500 seconds, Total memory usage: 32.09MB