Magma V2.19-8 Wed Aug 21 2013 01:05:18 on localhost [Seed = 2598142477] Type ? for help. Type -D to quit. Loading file "L14n25701__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25701 geometric_solution 11.98733873 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 0 1 0 0 -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 0.464098455082 0.805214216967 0 5 4 6 0132 0132 0132 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 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 0.475102368387 1.005895319997 7 0 8 4 0132 0132 0132 2031 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 1 0 -1 0 0 1 -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 0.494161825999 1.050222842445 9 10 6 0 0132 0132 0132 0132 1 0 1 1 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 -1 0 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442117242523 0.562530295005 10 2 0 1 2103 1302 0132 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 1 -1 0 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 -0.539754685564 0.741641827903 11 1 7 8 0132 0132 0132 0132 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 0.333465548570 0.292661290750 9 11 1 3 2103 0213 0132 0132 1 0 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794926063870 1.241022300208 2 11 8 5 0132 0132 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003282686824 1.438809967675 9 7 5 2 1023 1230 0132 0132 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 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 0.845891092521 1.341605105060 3 8 6 12 0132 1023 2103 0132 1 0 1 1 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 3 -2 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 0.955657965555 0.927204596156 12 3 4 12 0132 0132 2103 2103 1 0 1 1 0 0 0 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 0 0 0 2 0 -1 -1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532272515315 0.850799390945 5 7 6 12 0132 0132 0213 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294157101801 1.029580470671 10 11 9 10 0132 1302 0132 2103 1 0 1 1 0 0 -1 1 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 2 -2 -2 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 0.532272515315 0.850799390945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : 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_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_0101_12']), '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' : negation(d['1']), 's_1_1' : 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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0101_2'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_1'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 573617617195343290/380682307691*c_1100_0^11 - 56171090257664517616/4187505384601*c_1100_0^10 - 215416911685853726120/4187505384601*c_1100_0^9 - 490962534504011536158/4187505384601*c_1100_0^8 - 818089049143744507905/4187505384601*c_1100_0^7 - 1168773833332387726935/4187505384601*c_1100_0^6 - 1442607460004098581933/4187505384601*c_1100_0^5 - 81344652404642495885/246323846153*c_1100_0^4 - 942722295919204251995/4187505384601*c_1100_0^3 - 422343407591650698480/4187505384601*c_1100_0^2 - 9738925971335311647/380682307691*c_1100_0 - 10406867023913281393/4187505384601, c_0011_0 - 1, c_0011_10 + 201693390/129439751*c_1100_0^11 + 1634159936/129439751*c_1100_0^10 + 5509954441/129439751*c_1100_0^9 + 10730386022/129439751*c_1100_0^8 + 15666133439/129439751*c_1100_0^7 + 20975095311/129439751*c_1100_0^6 + 23511367715/129439751*c_1100_0^5 + 1031889716/7614103*c_1100_0^4 + 7078753580/129439751*c_1100_0^3 + 480466472/129439751*c_1100_0^2 - 606104582/129439751*c_1100_0 + 37361127/129439751, c_0011_4 - 12466030/129439751*c_1100_0^11 - 50906277/129439751*c_1100_0^10 + 6186151/129439751*c_1100_0^9 + 331402599/129439751*c_1100_0^8 + 696032585/129439751*c_1100_0^7 + 958968281/129439751*c_1100_0^6 + 218922990/18491393*c_1100_0^5 + 112207799/7614103*c_1100_0^4 + 1232076289/129439751*c_1100_0^3 + 361475340/129439751*c_1100_0^2 + 56476764/129439751*c_1100_0 - 46144023/129439751, c_0011_6 - 98523805/129439751*c_1100_0^11 - 756807087/129439751*c_1100_0^10 - 2452845644/129439751*c_1100_0^9 - 4712879166/129439751*c_1100_0^8 - 1002743817/18491393*c_1100_0^7 - 9621551337/129439751*c_1100_0^6 - 10810053869/129439751*c_1100_0^5 - 493629070/7614103*c_1100_0^4 - 4315110656/129439751*c_1100_0^3 - 1423751298/129439751*c_1100_0^2 - 292481323/129439751*c_1100_0 + 8502988/18491393, c_0101_0 - 1, c_0101_1 + 186093455/129439751*c_1100_0^11 + 1368617807/129439751*c_1100_0^10 + 4048738388/129439751*c_1100_0^9 + 6759397926/129439751*c_1100_0^8 + 8944440123/129439751*c_1100_0^7 + 11656683576/129439751*c_1100_0^6 + 11367960318/129439751*c_1100_0^5 + 46123192/1087729*c_1100_0^4 - 32425956/18491393*c_1100_0^3 - 1774528016/129439751*c_1100_0^2 - 74606598/18491393*c_1100_0 + 104361605/129439751, c_0101_12 - 30357730/18491393*c_1100_0^11 - 1645713029/129439751*c_1100_0^10 - 5280611120/129439751*c_1100_0^9 - 9888417522/129439751*c_1100_0^8 - 14414575800/129439751*c_1100_0^7 - 2798844167/18491393*c_1100_0^6 - 21493464103/129439751*c_1100_0^5 - 921282196/7614103*c_1100_0^4 - 7075134687/129439751*c_1100_0^3 - 1432087555/129439751*c_1100_0^2 + 129742371/129439751*c_1100_0 + 56321432/129439751, c_0101_2 + 10080935/18491393*c_1100_0^11 + 82767699/18491393*c_1100_0^10 + 279078381/18491393*c_1100_0^9 + 536045722/18491393*c_1100_0^8 + 777293250/18491393*c_1100_0^7 + 1063051392/18491393*c_1100_0^6 + 1205528563/18491393*c_1100_0^5 + 52245084/1087729*c_1100_0^4 + 399976242/18491393*c_1100_0^3 + 114979023/18491393*c_1100_0^2 + 12106429/18491393*c_1100_0 - 250970/18491393, c_0101_7 + 66543835/129439751*c_1100_0^11 + 499693839/129439751*c_1100_0^10 + 1541865413/129439751*c_1100_0^9 + 2749225670/129439751*c_1100_0^8 + 3849662282/129439751*c_1100_0^7 + 5093324351/129439751*c_1100_0^6 + 5297562698/129439751*c_1100_0^5 + 199828978/7614103*c_1100_0^4 + 938718999/129439751*c_1100_0^3 - 367506194/129439751*c_1100_0^2 - 82009510/129439751*c_1100_0 + 27711707/129439751, c_1001_1 - 184284050/129439751*c_1100_0^11 - 1456906260/129439751*c_1100_0^10 - 4676777426/129439751*c_1100_0^9 - 8560553270/129439751*c_1100_0^8 - 12149230480/129439751*c_1100_0^7 - 16373547565/129439751*c_1100_0^6 - 17549507748/129439751*c_1100_0^5 - 99460437/1087729*c_1100_0^4 - 618371587/18491393*c_1100_0^3 + 1399957/129439751*c_1100_0^2 + 45641959/18491393*c_1100_0 - 52714831/129439751, c_1001_11 + 221227670/129439751*c_1100_0^11 + 1639171728/129439751*c_1100_0^10 + 5047888586/129439751*c_1100_0^9 + 9187649551/129439751*c_1100_0^8 + 13250569194/129439751*c_1100_0^7 + 17734267037/129439751*c_1100_0^6 + 18825976592/129439751*c_1100_0^5 + 110180938/1087729*c_1100_0^4 + 741501875/18491393*c_1100_0^3 + 306360398/129439751*c_1100_0^2 - 41614609/18491393*c_1100_0 + 25365005/129439751, c_1001_3 - 182621920/129439751*c_1100_0^11 - 1434194288/129439751*c_1100_0^10 - 4672197580/129439751*c_1100_0^9 - 8821512627/129439751*c_1100_0^8 - 12752801239/129439751*c_1100_0^7 - 17113952668/129439751*c_1100_0^6 - 18823391107/129439751*c_1100_0^5 - 796839798/7614103*c_1100_0^4 - 5421689099/129439751*c_1100_0^3 - 544026634/129439751*c_1100_0^2 + 349156635/129439751*c_1100_0 - 39030101/129439751, c_1100_0^12 + 42/5*c_1100_0^11 + 149/5*c_1100_0^10 + 309/5*c_1100_0^9 + 474/5*c_1100_0^8 + 647/5*c_1100_0^7 + 753/5*c_1100_0^6 + 627/5*c_1100_0^5 + 324/5*c_1100_0^4 + 76/5*c_1100_0^3 - 2*c_1100_0^2 - 6/5*c_1100_0 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB