Magma V2.19-8 Tue Aug 20 2013 23:52:32 on localhost [Seed = 2699479929] Type ? for help. Type -D to quit. Loading file "L13n2859__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2859 geometric_solution 11.13571879 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 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 0 -1 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 0.714698228516 1.265024781870 0 5 7 6 0132 0132 0132 0132 0 0 0 1 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 -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 -0.012188098650 0.527934550163 8 0 9 6 0132 0132 0132 2103 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 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 0.314543808715 1.066616931133 10 8 11 0 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 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 -1 0 1 0 0 1 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476536988956 0.489485988751 11 7 0 5 0132 3012 0132 1302 1 0 0 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 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543301490779 0.421514110032 8 1 4 10 1023 0132 2031 3201 0 1 1 0 0 0 0 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 -1 1 0 -8 0 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276993439826 0.931023511056 10 9 1 2 2103 1023 0132 2103 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529461689151 0.945013354761 4 9 8 1 1230 3120 3120 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 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 -0.010512726122 1.742216640736 2 5 7 3 0132 1023 3120 3201 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 0 0 0 0 0 0 0 0 8 0 -8 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 0.582350474446 1.056746353091 6 7 11 2 1023 3120 0321 0132 1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000601958088 0.956786770966 3 5 6 11 0132 2310 2103 0321 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349886674452 1.523705236188 4 10 9 3 0132 0321 0321 0132 1 0 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 0 0 0 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 0.872314693784 0.664167183550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_10'], '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' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 6472055705549033/1277319828223296*c_0110_6^12 - 2007781571156713/58059992191968*c_0110_6^11 + 9698788335067939/98255371401792*c_0110_6^10 + 105497153894984593/638659914111648*c_0110_6^9 + 10443402106603177/58059992191968*c_0110_6^8 + 120048316201527203/212886638037216*c_0110_6^7 + 1158218153812441/106443319018608*c_0110_6^6 - 1077009343592140/1814374755999*c_0110_6^5 - 34541209997525743/159664978527912*c_0110_6^4 - 1154175041532701/14514998047992*c_0110_6^3 + 37482009865716761/159664978527912*c_0110_6^2 + 8433402624216767/53221659509304*c_0110_6 - 17232172716730393/79832489263956, c_0011_0 - 1, c_0011_10 - 1910870435/29828588768*c_0110_6^12 + 1077731159/2711689888*c_0110_6^11 - 30863487269/29828588768*c_0110_6^10 - 74130816417/29828588768*c_0110_6^9 - 6258949545/1355844944*c_0110_6^8 - 78508019663/7457147192*c_0110_6^7 - 120460650801/14914294384*c_0110_6^6 - 57663415/84740309*c_0110_6^5 + 9090785221/3728573596*c_0110_6^4 + 675422889/169480618*c_0110_6^3 - 683104129/1864286798*c_0110_6^2 - 5222762707/1864286798*c_0110_6 + 1869881183/3728573596, c_0011_11 - 2484955203/29828588768*c_0110_6^12 + 1517045357/2711689888*c_0110_6^11 - 47054788589/29828588768*c_0110_6^10 - 82917886635/29828588768*c_0110_6^9 - 4826935885/1355844944*c_0110_6^8 - 38368103951/3728573596*c_0110_6^7 - 20412845719/14914294384*c_0110_6^6 + 668289409/84740309*c_0110_6^5 + 17077120087/3728573596*c_0110_6^4 + 746664483/169480618*c_0110_6^3 - 4510064437/932143399*c_0110_6^2 - 4249454031/932143399*c_0110_6 + 12476538341/3728573596, c_0011_6 - 3232352267/29828588768*c_0110_6^12 + 1872312739/2711689888*c_0110_6^11 - 54216928413/29828588768*c_0110_6^10 - 126490076733/29828588768*c_0110_6^9 - 8161142613/1355844944*c_0110_6^8 - 118419716653/7457147192*c_0110_6^7 - 122124238661/14914294384*c_0110_6^6 + 509328807/84740309*c_0110_6^5 + 18105314701/3728573596*c_0110_6^4 + 1009551161/169480618*c_0110_6^3 - 6387969273/1864286798*c_0110_6^2 - 12939096651/1864286798*c_0110_6 + 10699226675/3728573596, c_0011_7 - 3501017781/59657177536*c_0110_6^12 + 2153850775/5423379776*c_0110_6^11 - 67941661923/59657177536*c_0110_6^10 - 110742120913/59657177536*c_0110_6^9 - 6828075067/2711689888*c_0110_6^8 - 27689966483/3728573596*c_0110_6^7 - 29820014753/29828588768*c_0110_6^6 + 731732803/169480618*c_0110_6^5 + 15538587105/7457147192*c_0110_6^4 + 1009850973/338961236*c_0110_6^3 - 6510036549/1864286798*c_0110_6^2 - 5927222289/1864286798*c_0110_6 + 16684219075/7457147192, c_0101_0 - 1, c_0101_11 - 356367747991/1461600849632*c_0110_6^12 + 105678562677/66436402256*c_0110_6^11 - 6403332710025/1461600849632*c_0110_6^10 - 127136283949/14914294384*c_0110_6^9 - 887494165491/66436402256*c_0110_6^8 - 25286249809035/730800424816*c_0110_6^7 - 5750673487687/365400212408*c_0110_6^6 + 823371439/84740309*c_0110_6^5 + 1477826713233/182700106204*c_0110_6\ ^4 + 196498429665/16609100564*c_0110_6^3 - 1718503054735/182700106204*c_0110_6^2 - 2176146708691/182700106204*c_0110_6 + 609264555465/91350053102, c_0101_2 + 1781138113/14914294384*c_0110_6^12 - 1052987251/1355844944*c_0110_6^11 + 31597780295/14914294384*c_0110_6^10 + 64072567501/14914294384*c_0110_6^9 + 4337158471/677922472*c_0110_6^8 + 15682287449/932143399*c_0110_6^7 + 55907510609/7457147192*c_0110_6^6 - 1049589353/169480618*c_0110_6^5 - 4387285802/932143399*c_0110_6^4 - 552938794/84740309*c_0110_6^3 + 4082538400/932143399*c_0110_6^2 + 5550987267/932143399*c_0110_6 - 5817586821/1864286798, c_0101_5 + 2727364549/29828588768*c_0110_6^12 - 1666864351/2711689888*c_0110_6^11 + 52566487075/29828588768*c_0110_6^10 + 85408756681/29828588768*c_0110_6^9 + 5963595059/1355844944*c_0110_6^8 + 44673371815/3728573596*c_0110_6^7 + 48769570125/14914294384*c_0110_6^6 - 819184639/169480618*c_0110_6^5 - 9350959901/3728573596*c_0110_6^4 - 319988025/84740309*c_0110_6^3 + 4493445830/932143399*c_0110_6^2 + 4338620219/932143399*c_0110_6 - 11085166539/3728573596, c_0101_8 + 66310272113/1461600849632*c_0110_6^12 - 19581456233/66436402256*c_0110_6^11 + 1199970534975/1461600849632*c_0110_6^10 + 22607647221/14914294384*c_0110_6^9 + 185983129613/66436402256*c_0110_6^8 + 5044643260549/730800424816*c_0110_6^7 + 1448363945969/365400212408*c_0110_6^6 + 53567845/169480618*c_0110_6^5 - 63231425419/182700106204*c_0110_6^4 - 36521012313/16609100564*c_0110_6^3 + 344284915181/182700106204*c_0110_6^2 + 263779898521/182700106204*c_0110_6 - 83917386793/91350053102, c_0110_5 - 7115593229/119314355072*c_0110_6^12 + 4156729087/10846759552*c_0110_6^11 - 119964975771/119314355072*c_0110_6^10 - 284277784489/119314355072*c_0110_6^9 - 15613937667/5423379776*c_0110_6^8 - 15226745521/1864286798*c_0110_6^7 - 172633143673/59657177536*c_0110_6^6 + 490030562/84740309*c_0110_6^5 + 59301131997/14914294384*c_0110_6^4 + 3065686555/677922472*c_0110_6^3 - 6982653463/3728573596*c_0110_6^2 - 14207478207/3728573596*c_0110_6 + 30751305779/14914294384, c_0110_6^13 - 7*c_0110_6^12 + 21*c_0110_6^11 + 27*c_0110_6^10 + 36*c_0110_6^9 + 116*c_0110_6^8 - 6*c_0110_6^7 - 76*c_0110_6^6 - 8*c_0110_6^5 - 32*c_0110_6^4 + 64*c_0110_6^3 + 32*c_0110_6^2 - 56*c_0110_6 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.450 seconds, Total memory usage: 32.09MB