Magma V2.19-8 Wed Aug 21 2013 00:55:09 on localhost [Seed = 2766323403] Type ? for help. Type -D to quit. Loading file "L13a1403__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a1403 geometric_solution 11.43682651 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1023 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 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 0.248263077083 1.181486630015 0 1 0 1 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455266812022 0.127258687228 4 0 6 5 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 1 0 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 0.869483225997 0.595463114613 7 7 0 4 0132 1230 0132 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 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 0.234887715808 1.289311685712 2 3 8 8 0132 2310 0132 0321 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 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 0.875192021698 0.883475489370 9 7 2 6 0132 1302 0132 0321 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 -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 0.928467946717 0.637700244713 10 5 8 2 0132 0321 0321 0132 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 0 0 0 0 0 0 1 -1 -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 0.696551686507 0.785900487931 3 11 3 5 0132 0132 3012 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 1 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 0.863238343539 0.750692309416 9 4 6 4 3120 0321 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 -1 1 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 0.434078453066 0.571277849006 5 10 12 8 0132 1230 0132 3120 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 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 0.711318054358 1.189389168688 6 11 9 12 0132 0213 3012 3012 1 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 1 0 -1 2 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 0.562651602255 0.339244881573 12 7 10 12 0132 0132 0213 2031 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 1 -1 0 0 0 -1 1 17 -1 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816378450425 0.536137782326 11 11 10 9 0132 1302 1230 0132 0 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -17 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144183376565 0.562037895939 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_6'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_12']), '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_10'], 'c_0101_10' : negation(d['c_0011_8']), '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_6'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_6'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0101_7']), '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'], 'c_1100_12' : d['c_0101_6'], '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' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_4, c_0101_6, c_0101_7, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 106145373636/30462175*c_1001_6^9 - 282566039913/30462175*c_1001_6^8 + 783452872664/91386525*c_1001_6^7 + 128637567901/91386525*c_1001_6^6 - 1084829555687/91386525*c_1001_6^5 + 1180001404211/91386525*c_1001_6^4 - 157130729506/18277305*c_1001_6^3 + 387700553024/91386525*c_1001_6^2 - 91621122289/91386525*c_1001_6 + 5858579293/30462175, c_0011_0 - 1, c_0011_10 + 32907033/6092435*c_1001_6^9 - 41003604/6092435*c_1001_6^8 + 3034694/6092435*c_1001_6^7 + 49329956/6092435*c_1001_6^6 - 54821242/6092435*c_1001_6^5 + 20956816/6092435*c_1001_6^4 - 2695168/1218487*c_1001_6^3 + 184924/6092435*c_1001_6^2 + 8188736/6092435*c_1001_6 - 3405411/6092435, c_0011_11 - 28709937/6092435*c_1001_6^9 + 49855743/6092435*c_1001_6^8 + 19223116/6092435*c_1001_6^7 - 19278600/1218487*c_1001_6^6 + 60853603/6092435*c_1001_6^5 + 38455118/6092435*c_1001_6^4 - 41785843/6092435*c_1001_6^3 - 1304903/6092435*c_1001_6^2 - 1967876/6092435*c_1001_6 - 116751/1218487, c_0011_5 + 20983536/6092435*c_1001_6^9 - 66859938/6092435*c_1001_6^8 + 61267158/6092435*c_1001_6^7 + 48580187/6092435*c_1001_6^6 - 133735674/6092435*c_1001_6^5 + 77939272/6092435*c_1001_6^4 + 2838684/1218487*c_1001_6^3 - 18447952/6092435*c_1001_6^2 - 258678/6092435*c_1001_6 - 1947172/6092435, c_0011_8 + 1, c_0101_0 - 56950182/6092435*c_1001_6^9 + 56292246/6092435*c_1001_6^8 + 83202604/6092435*c_1001_6^7 - 152233494/6092435*c_1001_6^6 + 44176278/6092435*c_1001_6^5 + 100890366/6092435*c_1001_6^4 - 13254852/1218487*c_1001_6^3 + 3349549/6092435*c_1001_6^2 - 12998014/6092435*c_1001_6 - 10540286/6092435, c_0101_1 + 468396/1218487*c_1001_6^9 - 7835832/1218487*c_1001_6^8 + 11408444/1218487*c_1001_6^7 + 2365204/1218487*c_1001_6^6 - 18644708/1218487*c_1001_6^5 + 14776571/1218487*c_1001_6^4 + 1385552/1218487*c_1001_6^3 - 4636828/1218487*c_1001_6^2 + 1709748/1218487*c_1001_6 - 216807/1218487, c_0101_12 + c_1001_6, c_0101_4 - 59039064/6092435*c_1001_6^9 + 109981557/6092435*c_1001_6^8 - 41096977/6092435*c_1001_6^7 - 89921178/6092435*c_1001_6^6 + 147849216/6092435*c_1001_6^5 - 80870848/6092435*c_1001_6^4 + 7416195/1218487*c_1001_6^3 - 6771702/6092435*c_1001_6^2 - 9023243/6092435*c_1001_6 - 5501712/6092435, c_0101_6 - 20718018/6092435*c_1001_6^9 + 14522004/6092435*c_1001_6^8 + 26564046/6092435*c_1001_6^7 - 40027686/6092435*c_1001_6^6 + 12421682/6092435*c_1001_6^5 + 28801169/6092435*c_1001_6^4 - 2070024/1218487*c_1001_6^3 + 12056986/6092435*c_1001_6^2 - 2109266/6092435*c_1001_6 - 2133634/6092435, c_0101_7 - 5222151/6092435*c_1001_6^9 + 6627231/6092435*c_1001_6^8 + 636492/1218487*c_1001_6^7 - 6006871/6092435*c_1001_6^6 - 5855196/6092435*c_1001_6^5 + 9767061/6092435*c_1001_6^4 + 12002843/6092435*c_1001_6^3 - 19835361/6092435*c_1001_6^2 + 374510/1218487*c_1001_6 - 20704/6092435, c_1001_2 + 20983536/6092435*c_1001_6^9 - 66859938/6092435*c_1001_6^8 + 61267158/6092435*c_1001_6^7 + 48580187/6092435*c_1001_6^6 - 133735674/6092435*c_1001_6^5 + 77939272/6092435*c_1001_6^4 + 2838684/1218487*c_1001_6^3 - 18447952/6092435*c_1001_6^2 - 258678/6092435*c_1001_6 - 1947172/6092435, c_1001_6^10 - 2*c_1001_6^9 + 25/27*c_1001_6^8 + 40/27*c_1001_6^7 - 74/27*c_1001_6^6 + 46/27*c_1001_6^5 - 7/9*c_1001_6^4 + 2/9*c_1001_6^3 + 5/27*c_1001_6^2 + 1/27 ], 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_4, c_0101_6, c_0101_7, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 49764209518/3645305*c_1001_6^9 - 27583543243/10935915*c_1001_6^8 - 286841462416/10935915*c_1001_6^7 - 19914607711/2187183*c_1001_6^6 + 22115785349/2187183*c_1001_6^5 + 88715803087/10935915*c_1001_6^4 + 55041440012/3645305*c_1001_6^3 - 28237398914/3645305*c_1001_6^2 + 24509252657/10935915*c_1001_6 - 22692506099/10935915, c_0011_0 - 1, c_0011_10 - 2982563/2187183*c_1001_6^9 + 243260/729061*c_1001_6^8 + 4092022/2187183*c_1001_6^7 + 440948/729061*c_1001_6^6 - 192654/729061*c_1001_6^5 + 293704/2187183*c_1001_6^4 - 859052/729061*c_1001_6^3 + 3227140/2187183*c_1001_6^2 - 3484232/2187183*c_1001_6 - 565631/2187183, c_0011_11 + 1410351/729061*c_1001_6^9 + 4236413/729061*c_1001_6^8 - 9045340/2187183*c_1001_6^7 - 11081608/729061*c_1001_6^6 - 5579909/2187183*c_1001_6^5 + 7295982/729061*c_1001_6^4 + 8083753/2187183*c_1001_6^3 + 3189695/2187183*c_1001_6^2 - 1328078/2187183*c_1001_6 + 126013/2187183, c_0011_5 + 9404696/2187183*c_1001_6^9 - 3723466/2187183*c_1001_6^8 - 8961174/729061*c_1001_6^7 + 713701/2187183*c_1001_6^6 + 29772878/2187183*c_1001_6^5 + 1158876/729061*c_1001_6^4 - 7958696/2187183*c_1001_6^3 - 5492258/2187183*c_1001_6^2 - 17518/2187183*c_1001_6 + 224128/2187183, c_0011_8 + 1, c_0101_0 + 18441666/729061*c_1001_6^9 - 2383920/729061*c_1001_6^8 - 99035224/2187183*c_1001_6^7 - 13093948/729061*c_1001_6^6 + 26202466/2187183*c_1001_6^5 + 8535814/729061*c_1001_6^4 + 63686332/2187183*c_1001_6^3 - 28579105/2187183*c_1001_6^2 + 12582058/2187183*c_1001_6 - 6926264/2187183, c_0101_1 - 7925660/2187183*c_1001_6^9 + 3019012/2187183*c_1001_6^8 + 23480996/2187183*c_1001_6^7 + 1256636/2187183*c_1001_6^6 - 26292004/2187183*c_1001_6^5 - 2385811/729061*c_1001_6^4 + 1529656/729061*c_1001_6^3 + 7746616/2187183*c_1001_6^2 + 3460508/2187183*c_1001_6 - 125737/729061, c_0101_12 - c_1001_6, c_0101_4 + 2588142/729061*c_1001_6^9 - 7909093/2187183*c_1001_6^8 - 4991761/729061*c_1001_6^7 + 5414866/2187183*c_1001_6^6 + 3642080/729061*c_1001_6^5 + 3109528/2187183*c_1001_6^4 + 7332275/2187183*c_1001_6^3 - 9531374/2187183*c_1001_6^2 + 3702325/2187183*c_1001_6 - 1375068/729061, c_0101_6 - 14440646/2187183*c_1001_6^9 - 394352/729061*c_1001_6^8 + 26210690/2187183*c_1001_6^7 + 4224710/729061*c_1001_6^6 - 7248178/2187183*c_1001_6^5 - 4179671/2187183*c_1001_6^4 - 13009684/2187183*c_1001_6^3 + 7746242/2187183*c_1001_6^2 - 570906/729061*c_1001_6 + 385380/729061, c_0101_7 + 7010449/2187183*c_1001_6^9 + 589239/729061*c_1001_6^8 - 9763828/2187183*c_1001_6^7 - 2777213/729061*c_1001_6^6 - 5740180/2187183*c_1001_6^5 - 2859359/2187183*c_1001_6^4 + 11787029/2187183*c_1001_6^3 + 4859729/2187183*c_1001_6^2 + 763362/729061*c_1001_6 - 199966/729061, c_1001_2 - 9404696/2187183*c_1001_6^9 + 3723466/2187183*c_1001_6^8 + 8961174/729061*c_1001_6^7 - 713701/2187183*c_1001_6^6 - 29772878/2187183*c_1001_6^5 - 1158876/729061*c_1001_6^4 + 7958696/2187183*c_1001_6^3 + 5492258/2187183*c_1001_6^2 + 17518/2187183*c_1001_6 - 224128/2187183, c_1001_6^10 - 10/19*c_1001_6^9 - 35/19*c_1001_6^8 + 18/19*c_1001_6^6 + 6/19*c_1001_6^5 + 17/19*c_1001_6^4 - 18/19*c_1001_6^3 + 7/19*c_1001_6^2 - 4/19*c_1001_6 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB