Magma V2.19-8 Tue Aug 20 2013 23:44:16 on localhost [Seed = 4290353667] Type ? for help. Type -D to quit. Loading file "L14n25027__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25027 geometric_solution 10.15204376 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 -1 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 -2 1 1 -1 0 1 0 5 -5 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553036031097 0.522846844285 0 5 3 6 0132 0132 1302 0132 1 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 0 0 0 1 0 0 -1 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952523781213 1.145755104365 5 0 3 7 0321 0132 0321 0132 0 1 1 1 0 -1 1 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 2 -2 0 0 0 0 0 0 -4 0 4 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099997819529 1.193061231468 1 8 2 0 2031 0132 0321 0132 0 1 1 1 0 0 -1 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 -1 2 -1 0 0 1 -1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799683245109 0.928028203268 8 9 0 10 0213 0132 0132 0132 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 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 0.567229153916 0.793835407308 2 1 6 7 0321 0132 2031 2310 1 1 1 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 0 0 0 0 0 0 0 4 0 0 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610672910831 0.879758520452 10 9 1 5 0213 2031 0132 1302 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 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 0.238952999344 0.693934723654 5 8 2 10 3201 0213 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495234174838 1.204650543674 4 3 7 9 0213 0132 0213 0132 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 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 0 0 0.248851078218 0.902750136470 6 4 8 10 1302 0132 0132 0213 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 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 -0.001003679164 0.888755436944 6 7 4 9 0213 0321 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.393002003142 0.501556141238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1010_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_1001_2'], 'c_1010_7' : d['c_1010_10'], 'c_1010_6' : negation(d['c_0011_4']), '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_0110_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1010_10'], 's_3_1' : d['1'], 's_3_0' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0110_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_2, c_0110_10, c_1001_0, c_1001_10, c_1001_2, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 380921637400975/390692924608*c_1010_10^10 + 3192688056725037/390692924608*c_1010_10^9 - 201564311801003/13953318736*c_1010_10^8 - 2219709540179141/13953318736*c_1010_10^7 - 105866668432336831/390692924608*c_1010_10^6 - 7215989169610875/390692924608*c_1010_10^5 + 1750780150261083/7973324992*c_1010_10^4 - 3692358703960183/390692924608*c_1010_10^3 - 3092924341815185/24418307788*c_1010_10^2 + 6633171721287605/97673231152*c_1010_10 - 154258450542981/12209153894, c_0011_0 - 1, c_0011_10 - 117556659/393051232*c_1010_10^10 + 946759777/393051232*c_1010_10^9 - 100761577/28075088*c_1010_10^8 - 1415174999/28075088*c_1010_10^7 - 38883533471/393051232*c_1010_10^6 - 11646569079/393051232*c_1010_10^5 + 4195564131/56150176*c_1010_10^4 + 11828442823/393051232*c_1010_10^3 - 6992841161/196525616*c_1010_10^2 + 1016480595/196525616*c_1010_10 + 173413747/98262808, c_0011_3 + 2515118/12282851*c_1010_10^10 - 88257667/49131404*c_1010_10^9 + 25740185/7018772*c_1010_10^8 + 57100656/1754693*c_1010_10^7 + 1062804199/24565702*c_1010_10^6 - 1202131853/49131404*c_1010_10^5 - 411150839/7018772*c_1010_10^4 + 912045369/49131404*c_1010_10^3 + 1740881963/49131404*c_1010_10^2 - 268088127/12282851*c_1010_10 + 87128037/24565702, c_0011_4 - 88557781/196525616*c_1010_10^10 + 749695683/196525616*c_1010_10^9 - 97873233/14037544*c_1010_10^8 - 1026394245/14037544*c_1010_10^7 - 23377731777/196525616*c_1010_10^6 + 1173844243/196525616*c_1010_10^5 + 3164438825/28075088*c_1010_10^4 - 782884187/196525616*c_1010_10^3 - 5837114369/98262808*c_1010_10^2 + 3363346101/98262808*c_1010_10 - 276893781/49131404, c_0011_6 + 135849307/393051232*c_1010_10^10 - 1114984937/393051232*c_1010_10^9 + 129050537/28075088*c_1010_10^8 + 1612263487/28075088*c_1010_10^7 + 41580496375/393051232*c_1010_10^6 + 7696777007/393051232*c_1010_10^5 - 4866381227/56150176*c_1010_10^4 - 7881375343/393051232*c_1010_10^3 + 8739714329/196525616*c_1010_10^2 - 2769527643/196525616*c_1010_10 - 12446195/98262808, c_0101_2 + 22775579/98262808*c_1010_10^10 - 202235485/98262808*c_1010_10^9 + 30603463/7018772*c_1010_10^8 + 255824425/7018772*c_1010_10^7 + 4423989719/98262808*c_1010_10^6 - 3392364237/98262808*c_1010_10^5 - 940243107/14037544*c_1010_10^4 + 2621922529/98262808*c_1010_10^3 + 1961941881/49131404*c_1010_10^2 - 1410581619/49131404*c_1010_10 + 139836703/24565702, c_0110_10 + 146467847/393051232*c_1010_10^10 - 1217865541/393051232*c_1010_10^9 + 148503649/28075088*c_1010_10^8 + 1721950691/28075088*c_1010_10^7 + 42271588067/393051232*c_1010_10^6 + 3744374883/393051232*c_1010_10^5 - 5338146943/56150176*c_1010_10^4 - 4690048179/393051232*c_1010_10^3 + 9623954001/196525616*c_1010_10^2 - 4122444087/196525616*c_1010_10 + 198388469/98262808, c_1001_0 - 1, c_1001_10 - 1903803/6339536*c_1010_10^10 + 17147553/6339536*c_1010_10^9 - 2703341/452824*c_1010_10^8 - 21126935/452824*c_1010_10^7 - 330340407/6339536*c_1010_10^6 + 351655721/6339536*c_1010_10^5 + 79771507/905648*c_1010_10^4 - 267259865/6339536*c_1010_10^3 - 163200677/3169768*c_1010_10^2 + 132271315/3169768*c_1010_10 - 14834205/1584884, c_1001_2 - 13466735/196525616*c_1010_10^10 + 127103173/196525616*c_1010_10^9 - 22596645/14037544*c_1010_10^8 - 143286135/14037544*c_1010_10^7 - 1392573179/196525616*c_1010_10^6 + 4116598877/196525616*c_1010_10^5 + 592430503/28075088*c_1010_10^4 - 3041210757/196525616*c_1010_10^3 - 1135337225/98262808*c_1010_10^2 + 1279247527/98262808*c_1010_10 - 180186949/49131404, c_1010_10^11 - 9*c_1010_10^10 + 20*c_1010_10^9 + 154*c_1010_10^8 + 177*c_1010_10^7 - 153*c_1010_10^6 - 237*c_1010_10^5 + 149*c_1010_10^4 + 124*c_1010_10^3 - 150*c_1010_10^2 + 56*c_1010_10 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB