Magma V2.19-8 Wed Aug 21 2013 01:04:49 on localhost [Seed = 3415069601] Type ? for help. Type -D to quit. Loading file "L14n24701__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24701 geometric_solution 12.02847635 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 -2 3 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 -0.382517790167 0.873849336327 0 3 6 5 0132 3012 0132 0132 1 1 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 1 0 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.219472220687 1.457648251170 5 0 7 7 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 -1 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 0.924241695313 1.017590175629 1 4 8 0 1230 0132 0132 0132 0 1 1 1 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 0 0 0 0 0 -2 2 -1 0 0 1 5 -6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576775448512 1.059484189467 9 3 0 10 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 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 -3 3 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359567715777 1.180638392841 2 11 1 12 0213 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 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 0.079212899123 0.633672119250 10 8 7 1 1230 3120 1230 0132 1 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 1 -1 5 0 0 -5 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123792225715 0.809785964239 12 2 2 6 3012 0213 0132 3012 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 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 0.072758536701 0.977297108822 11 6 10 3 3201 3120 0132 0132 0 1 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 -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 0 0 0.752912348286 0.803454171993 4 11 12 10 0132 3201 2310 1230 1 1 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 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424073275932 0.949258022410 9 6 4 8 3012 3012 0132 0132 0 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270250037829 0.579579708247 12 5 9 8 0321 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733314178337 0.748439284716 11 9 5 7 0321 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119532783754 0.721846630433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_6']), 's_3_11' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_6']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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_0110_7'], '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' : 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_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_11']), '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_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_6, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0110_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2196486242949224716757/6188745373967237130*c_1100_0^17 + 2855361708153031353587/2750553499540994280*c_1100_0^16 + 48784861798077585737131/24754981495868948520*c_1100_0^15 - 194172709447547090074079/24754981495868948520*c_1100_0^14 - 1561420546627750905301/229212791628416190*c_1100_0^13 + 288186111276662888448109/8251660498622982840*c_1100_0^12 + 9032433859439783494043/825166049862298284*c_1100_0^11 - 40967658316105595069981/426810025790843940*c_1100_0^10 - 11005295391463778838721/4125830249311491420*c_1100_0^9 + 4217887547568879007148471/24754981495868948520*c_1100_0^8 - 200218714033930605127747/12377490747934474260*c_1100_0^7 - 2518926874442445335946013/12377490747934474260*c_1100_0^6 + 63176928791556052430569/2475498149586894852*c_1100_0^5 + 689315117276193477302621/4125830249311491420*c_1100_0^4 - 614114636643837129917717/24754981495868948520*c_1100_0^3 - 505220165426179876141321/6188745373967237130*c_1100_0^2 + 63529011147964907952899/6188745373967237130*c_1100_0 + 38532998894260415839921/2062915124655745710, c_0011_0 - 1, c_0011_10 - c_1100_0 + 1, c_0011_11 - 111959081/761094657*c_1100_0^17 + 130278208/253698219*c_1100_0^16 + 216974224/761094657*c_1100_0^15 - 2373232739/761094657*c_1100_0^14 + 193873703/253698219*c_1100_0^13 + 3049943057/253698219*c_1100_0^12 - 2613542402/253698219*c_1100_0^11 - 19413466877/761094657*c_1100_0^10 + 8917176301/253698219*c_1100_0^9 + 22673221511/761094657*c_1100_0^8 - 47018442320/761094657*c_1100_0^7 - 13820900966/761094657*c_1100_0^6 + 49618107121/761094657*c_1100_0^5 + 278837606/84566073*c_1100_0^4 - 35588392010/761094657*c_1100_0^3 + 8860820177/761094657*c_1100_0^2 + 9587661494/761094657*c_1100_0 - 1324504454/253698219, c_0011_12 - 74924768/761094657*c_1100_0^17 + 158380649/253698219*c_1100_0^16 - 314931299/761094657*c_1100_0^15 - 2868189212/761094657*c_1100_0^14 + 1194816451/253698219*c_1100_0^13 + 1219168904/84566073*c_1100_0^12 - 2079899408/84566073*c_1100_0^11 - 22866742001/761094657*c_1100_0^10 + 17241969778/253698219*c_1100_0^9 + 25784950238/761094657*c_1100_0^8 - 83956340120/761094657*c_1100_0^7 - 13684207190/761094657*c_1100_0^6 + 84930702604/761094657*c_1100_0^5 - 137005090/253698219*c_1100_0^4 - 57874628060/761094657*c_1100_0^3 + 14013680432/761094657*c_1100_0^2 + 16130142518/761094657*c_1100_0 - 2275852199/253698219, c_0011_3 - 71107054/761094657*c_1100_0^17 + 74280773/253698219*c_1100_0^16 + 376352489/761094657*c_1100_0^15 - 1651853773/761094657*c_1100_0^14 - 408496313/253698219*c_1100_0^13 + 2409026941/253698219*c_1100_0^12 + 518099960/253698219*c_1100_0^11 - 19341070960/761094657*c_1100_0^10 + 426281225/253698219*c_1100_0^9 + 32816555434/761094657*c_1100_0^8 - 6672708556/761094657*c_1100_0^7 - 36326200453/761094657*c_1100_0^6 + 9838166489/761094657*c_1100_0^5 + 965205573/28188691*c_1100_0^4 - 9391142482/761094657*c_1100_0^3 - 8949869753/761094657*c_1100_0^2 + 4474983988/761094657*c_1100_0 - 116551585/253698219, c_0011_6 + 142644935/761094657*c_1100_0^17 - 15338007/28188691*c_1100_0^16 - 688739014/761094657*c_1100_0^15 + 2878732166/761094657*c_1100_0^14 + 233241487/84566073*c_1100_0^13 - 4042228558/253698219*c_1100_0^12 - 627699365/253698219*c_1100_0^11 + 30528319490/761094657*c_1100_0^10 - 1500097996/253698219*c_1100_0^9 - 47815893332/761094657*c_1100_0^8 + 13892135453/761094657*c_1100_0^7 + 48538919492/761094657*c_1100_0^6 - 16633684372/761094657*c_1100_0^5 - 11059089880/253698219*c_1100_0^4 + 13694184383/761094657*c_1100_0^3 + 10558893208/761094657*c_1100_0^2 - 4002269663/761094657*c_1100_0 - 294168310/253698219, c_0101_10 + 138357476/761094657*c_1100_0^17 - 139264877/253698219*c_1100_0^16 - 516781195/761094657*c_1100_0^15 + 2760349679/761094657*c_1100_0^14 + 310916312/253698219*c_1100_0^13 - 1250479063/84566073*c_1100_0^12 + 329780071/84566073*c_1100_0^11 + 26688617648/761094657*c_1100_0^10 - 5687904142/253698219*c_1100_0^9 - 38027954903/761094657*c_1100_0^8 + 35048002052/761094657*c_1100_0^7 + 33542884487/761094657*c_1100_0^6 - 40117884004/761094657*c_1100_0^5 - 6071580821/253698219*c_1100_0^4 + 30523259552/761094657*c_1100_0^3 + 225971827/761094657*c_1100_0^2 - 9881979158/761094657*c_1100_0 + 988343624/253698219, c_0101_11 + 38758307/253698219*c_1100_0^17 - 103930150/253698219*c_1100_0^16 - 55229698/84566073*c_1100_0^15 + 225126971/84566073*c_1100_0^14 + 416389114/253698219*c_1100_0^13 - 2719854724/253698219*c_1100_0^12 + 142463971/253698219*c_1100_0^11 + 6295970770/253698219*c_1100_0^10 - 965071841/84566073*c_1100_0^9 - 8573828375/253698219*c_1100_0^8 + 726769167/28188691*c_1100_0^7 + 2303829224/84566073*c_1100_0^6 - 2491182322/84566073*c_1100_0^5 - 3228599648/253698219*c_1100_0^4 + 5925460738/253698219*c_1100_0^3 - 839833160/253698219*c_1100_0^2 - 1693110931/253698219*c_1100_0 + 254793193/84566073, c_0101_3 + 152166092/761094657*c_1100_0^17 - 131102990/253698219*c_1100_0^16 - 776237599/761094657*c_1100_0^15 + 2719849037/761094657*c_1100_0^14 + 833325674/253698219*c_1100_0^13 - 1269518938/84566073*c_1100_0^12 - 335640359/84566073*c_1100_0^11 + 28607345735/761094657*c_1100_0^10 - 895471366/253698219*c_1100_0^9 - 44391400220/761094657*c_1100_0^8 + 12835033784/761094657*c_1100_0^7 + 44582317505/761094657*c_1100_0^6 - 18091563799/761094657*c_1100_0^5 - 9970452170/253698219*c_1100_0^4 + 16832513810/761094657*c_1100_0^3 + 8776456444/761094657*c_1100_0^2 - 6485136038/761094657*c_1100_0 + 132474014/253698219, c_0101_6 + 4315840/761094657*c_1100_0^17 + 2927562/28188691*c_1100_0^16 - 280093058/761094657*c_1100_0^15 - 347090000/761094657*c_1100_0^14 + 203420939/84566073*c_1100_0^13 + 330088333/253698219*c_1100_0^12 - 2471078431/253698219*c_1100_0^11 - 525554567/761094657*c_1100_0^10 + 6021960778/253698219*c_1100_0^9 - 3048263614/761094657*c_1100_0^8 - 27395674811/761094657*c_1100_0^7 + 6913562050/761094657*c_1100_0^6 + 27197466223/761094657*c_1100_0^5 - 2392086830/253698219*c_1100_0^4 - 17812009796/761094657*c_1100_0^3 + 6341320697/761094657*c_1100_0^2 + 4508328701/761094657*c_1100_0 - 560124875/253698219, c_0110_7 - 17869732/761094657*c_1100_0^17 + 51686504/253698219*c_1100_0^16 - 227919877/761094657*c_1100_0^15 - 850509622/761094657*c_1100_0^14 + 635928769/253698219*c_1100_0^13 + 1001273164/253698219*c_1100_0^12 - 2960236822/253698219*c_1100_0^11 - 5105214733/761094657*c_1100_0^10 + 7786862105/253698219*c_1100_0^9 + 2802293506/761094657*c_1100_0^8 - 37054389355/761094657*c_1100_0^7 + 3172540997/761094657*c_1100_0^6 + 37230318404/761094657*c_1100_0^5 - 711360503/84566073*c_1100_0^4 - 24533150524/761094657*c_1100_0^3 + 7078893367/761094657*c_1100_0^2 + 6972556852/761094657*c_1100_0 - 928918981/253698219, c_1001_0 - 1, c_1100_0^18 - 3*c_1100_0^17 - 5*c_1100_0^16 + 22*c_1100_0^15 + 15*c_1100_0^14 - 96*c_1100_0^13 - 12*c_1100_0^12 + 256*c_1100_0^11 - 45*c_1100_0^10 - 436*c_1100_0^9 + 142*c_1100_0^8 + 496*c_1100_0^7 - 194*c_1100_0^6 - 387*c_1100_0^5 + 178*c_1100_0^4 + 170*c_1100_0^3 - 88*c_1100_0^2 - 30*c_1100_0 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB