Magma V2.19-8 Mon Oct 7 2013 10:58:36 on localhost [Seed = 1903292201] Type ? for help. Type -D to quit. Loading file "10^2_156__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_156 geometric_solution 16.71267416 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 18 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116608162145 0.728731822586 0 3 6 5 0132 3120 0132 0132 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 -7 0 7 1 0 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 1.029034618443 1.066507024013 7 0 8 7 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598342775325 0.846193370322 9 1 8 0 0132 3120 0321 0132 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 1 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342796228229 0.874253696987 10 11 0 9 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.656250528735 0.843976399895 10 12 1 10 2103 0132 0132 3201 0 0 1 0 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 -7 7 0 0 1 -1 0 -1 0 1 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125976522980 0.649132593436 13 7 11 1 0132 0321 3201 0132 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 1 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489438718517 1.283106677300 2 2 14 6 0132 1302 0132 0321 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 -6 6 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442913541829 0.787847513233 15 11 3 2 0132 0321 0321 0132 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -7 0 7 0 0 0 0 0 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227536489376 1.516446642217 3 16 4 14 0132 0132 0132 2310 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 1 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271471946458 0.369900166398 4 5 5 13 0132 2310 2103 0132 1 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 -1 0 1 0 0 0 0 0 1 0 -1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125976522980 0.649132593436 6 4 16 8 2310 0132 0132 0321 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 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864292241103 0.598196358006 17 5 17 16 0132 0132 3012 3120 0 0 0 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 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225687393070 0.995812354053 6 15 10 15 0132 0213 0132 0321 1 0 0 0 0 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 3 -1 -2 0 0 0 0 0 7 0 -7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343648382948 0.676432108093 9 16 17 7 3201 3201 3120 0132 0 0 0 0 0 1 -1 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 6 -6 0 -6 0 0 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446870507462 0.584405317656 8 13 13 17 0132 0321 0213 2103 1 0 0 0 0 1 -1 0 1 0 -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 2 -3 1 7 0 -7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403030257735 1.175065914069 12 9 14 11 3120 0132 2310 0132 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.649342738678 0.937404145199 12 12 14 15 0132 1230 3120 2103 0 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 1 0 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486621108766 0.625823869475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0110_5']), 'c_1001_14' : negation(d['c_0101_16']), 'c_1001_17' : d['c_0101_16'], 'c_1001_16' : negation(d['c_0101_7']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : negation(d['c_0110_5']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_16']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_14'], 'c_1010_13' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0011_16']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0110_5']), 'c_1010_17' : d['c_0101_12'], 'c_1010_16' : d['c_1001_11'], 'c_1010_15' : negation(d['c_0101_12']), 'c_1010_14' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 'c_0101_13' : d['c_0101_1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 'c_0101_17' : d['c_0101_11'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0011_13'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_17' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_17' : negation(d['c_0011_12']), 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : d['c_0011_14'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_14'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_14'], 'c_1100_3' : d['c_0011_14'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_14' : d['1'], 'c_1100_14' : negation(d['c_0101_11']), 'c_1100_15' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_17' : negation(d['c_0101_14']), 'c_1100_16' : d['c_0011_14'], 'c_1100_11' : d['c_0011_14'], 'c_1100_10' : negation(d['c_0110_5']), 'c_1100_13' : negation(d['c_0110_5']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_12'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_16']), 'c_1010_0' : d['c_1001_2'], 's_2_8' : d['1'], 'c_1010_9' : negation(d['c_0101_7']), 's_0_15' : d['1'], 's_3_17' : d['1'], 's_0_17' : d['1'], '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' : negation(d['c_0101_16']), '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_16']), 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_16'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_15'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0011_15']), 'c_0110_12' : d['c_0101_11'], 'c_0110_15' : d['c_0101_14'], 'c_0110_14' : d['c_0101_7'], 'c_0110_17' : d['c_0101_12'], 'c_0110_16' : d['c_0101_11'], 'c_1010_4' : d['c_1001_11'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_15']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_14']), 'c_0101_2' : d['c_0011_13'], '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_0101_14'], 'c_0011_10' : d['c_0011_10'], 's_1_17' : d['1'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_14']), 'c_0110_8' : d['c_0011_13'], '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_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_14, c_0101_16, c_0101_7, c_0110_5, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 309724306443993549/9233766047537120*c_1001_2^12 + 272029678035003287/9233766047537120*c_1001_2^11 + 781348317454159091/9233766047537120*c_1001_2^10 - 27436747194781371/485987686712480*c_1001_2^9 - 737513534209766279/1846753209507424*c_1001_2^8 + 2535395596140397763/9233766047537120*c_1001_2^7 + 3945865561687996229/9233766047537120*c_1001_2^6 - 3682673937270551/30374230419530*c_1001_2^5 - 2806708141898446851/4616883023768560*c_1001_2^4 + 342126030731411153/1154220755942140*c_1001_2^3 + 31508683460011921/97197537342496*c_1001_2^2 - 1911779020409058283/9233766047537120*c_1001_2 - 63275929481240287/2308441511884280, c_0011_0 - 1, c_0011_10 + 11667/69317*c_1001_2^12 + 12849/69317*c_1001_2^11 - 20066/69317*c_1001_2^10 - 28900/69317*c_1001_2^9 + 101841/69317*c_1001_2^8 + 146821/69317*c_1001_2^7 + 4708/69317*c_1001_2^6 - 105071/69317*c_1001_2^5 - 43636/69317*c_1001_2^4 + 114614/69317*c_1001_2^3 + 103849/69317*c_1001_2^2 - 30869/69317*c_1001_2 - 87226/69317, c_0011_12 + 1, c_0011_13 + 36315/69317*c_1001_2^12 + 17643/69317*c_1001_2^11 - 97161/69317*c_1001_2^10 - 62114/69317*c_1001_2^9 + 430620/69317*c_1001_2^8 + 248923/69317*c_1001_2^7 - 451921/69317*c_1001_2^6 - 389448/69317*c_1001_2^5 + 522181/69317*c_1001_2^4 + 207030/69317*c_1001_2^3 - 346346/69317*c_1001_2^2 - 251276/69317*c_1001_2 + 199868/69317, c_0011_14 - 17909/69317*c_1001_2^12 - 11667/69317*c_1001_2^11 + 40878/69317*c_1001_2^10 + 37975/69317*c_1001_2^9 - 203917/69317*c_1001_2^8 - 155568/69317*c_1001_2^7 + 157632/69317*c_1001_2^6 + 210200/69317*c_1001_2^5 - 271018/69317*c_1001_2^4 - 99636/69317*c_1001_2^3 + 118203/69317*c_1001_2^2 + 108740/69317*c_1001_2 - 112403/69317, c_0011_15 + 5060/69317*c_1001_2^12 - 3268/69317*c_1001_2^11 - 23645/69317*c_1001_2^10 + 11855/69317*c_1001_2^9 + 92097/69317*c_1001_2^8 - 47479/69317*c_1001_2^7 - 192565/69317*c_1001_2^6 + 78443/69317*c_1001_2^5 + 249740/69317*c_1001_2^4 - 86567/69317*c_1001_2^3 - 180670/69317*c_1001_2^2 + 71822/69317*c_1001_2 + 124070/69317, c_0011_16 - 39059/69317*c_1001_2^12 - 1843/69317*c_1001_2^11 + 103134/69317*c_1001_2^10 + 29657/69317*c_1001_2^9 - 462700/69317*c_1001_2^8 - 99720/69317*c_1001_2^7 + 494702/69317*c_1001_2^6 + 307401/69317*c_1001_2^5 - 603913/69317*c_1001_2^4 - 134660/69317*c_1001_2^3 + 416376/69317*c_1001_2^2 + 160600/69317*c_1001_2 - 187148/69317, c_0101_0 + 1, c_0101_1 + 17909/69317*c_1001_2^12 + 11667/69317*c_1001_2^11 - 40878/69317*c_1001_2^10 - 37975/69317*c_1001_2^9 + 203917/69317*c_1001_2^8 + 155568/69317*c_1001_2^7 - 157632/69317*c_1001_2^6 - 210200/69317*c_1001_2^5 + 271018/69317*c_1001_2^4 + 99636/69317*c_1001_2^3 - 118203/69317*c_1001_2^2 - 39423/69317*c_1001_2 + 112403/69317, c_0101_11 + 45004/69317*c_1001_2^12 + 17730/69317*c_1001_2^11 - 103722/69317*c_1001_2^10 - 71826/69317*c_1001_2^9 + 479053/69317*c_1001_2^8 + 284697/69317*c_1001_2^7 - 337580/69317*c_1001_2^6 - 502575/69317*c_1001_2^5 + 340331/69317*c_1001_2^4 + 293987/69317*c_1001_2^3 - 135070/69317*c_1001_2^2 - 287592/69317*c_1001_2 + 55513/69317, c_0101_12 - 48544/346585*c_1001_2^12 - 25033/346585*c_1001_2^11 + 80811/346585*c_1001_2^10 + 79971/346585*c_1001_2^9 - 90669/69317*c_1001_2^8 - 382717/346585*c_1001_2^7 + 47904/346585*c_1001_2^6 + 487971/346585*c_1001_2^5 - 158602/346585*c_1001_2^4 - 515076/346585*c_1001_2^3 - 37572/69317*c_1001_2^2 + 181727/346585*c_1001_2 + 274137/346585, c_0101_14 - 13510/69317*c_1001_2^12 - 26892/69317*c_1001_2^11 + 10664/69317*c_1001_2^10 + 73967/69317*c_1001_2^9 - 84384/69317*c_1001_2^8 - 316122/69317*c_1001_2^7 - 166015/69317*c_1001_2^6 + 321397/69317*c_1001_2^5 + 221448/69317*c_1001_2^4 - 206005/69317*c_1001_2^3 - 255721/69317*c_1001_2^2 + 156193/69317*c_1001_2 + 126285/69317, c_0101_16 + 28938/69317*c_1001_2^12 + 20106/69317*c_1001_2^11 - 53442/69317*c_1001_2^10 - 78918/69317*c_1001_2^9 + 257679/69317*c_1001_2^8 + 298430/69317*c_1001_2^7 - 18641/69317*c_1001_2^6 - 508701/69317*c_1001_2^5 - 108499/69317*c_1001_2^4 + 285742/69317*c_1001_2^3 + 204322/69317*c_1001_2^2 - 304176/69317*c_1001_2 - 95949/69317, c_0101_7 + 4399/69317*c_1001_2^12 - 15225/69317*c_1001_2^11 - 30214/69317*c_1001_2^10 + 35992/69317*c_1001_2^9 + 119533/69317*c_1001_2^8 - 160554/69317*c_1001_2^7 - 323647/69317*c_1001_2^6 + 111197/69317*c_1001_2^5 + 492466/69317*c_1001_2^4 - 106369/69317*c_1001_2^3 - 373924/69317*c_1001_2^2 + 47453/69317*c_1001_2 + 238688/69317, c_0110_5 + 139998/346585*c_1001_2^12 + 85916/346585*c_1001_2^11 - 295697/346585*c_1001_2^10 - 361472/346585*c_1001_2^9 + 288743/69317*c_1001_2^8 + 1344609/346585*c_1001_2^7 - 784258/346585*c_1001_2^6 - 2428457/346585*c_1001_2^5 + 902139/346585*c_1001_2^4 + 1451007/346585*c_1001_2^3 - 35659/69317*c_1001_2^2 - 1201824/346585*c_1001_2 + 129886/346585, c_1001_1 + 51540/69317*c_1001_2^12 + 34660/69317*c_1001_2^11 - 137552/69317*c_1001_2^10 - 124460/69317*c_1001_2^9 + 604371/69317*c_1001_2^8 + 497787/69317*c_1001_2^7 - 615906/69317*c_1001_2^6 - 789535/69317*c_1001_2^5 + 663742/69317*c_1001_2^4 + 523767/69317*c_1001_2^3 - 428991/69317*c_1001_2^2 - 454772/69317*c_1001_2 + 204267/69317, c_1001_11 + 11667/69317*c_1001_2^12 + 12849/69317*c_1001_2^11 - 20066/69317*c_1001_2^10 - 28900/69317*c_1001_2^9 + 101841/69317*c_1001_2^8 + 146821/69317*c_1001_2^7 + 4708/69317*c_1001_2^6 - 105071/69317*c_1001_2^5 - 43636/69317*c_1001_2^4 + 114614/69317*c_1001_2^3 + 34532/69317*c_1001_2^2 - 30869/69317*c_1001_2 - 87226/69317, c_1001_2^13 - 3*c_1001_2^11 - c_1001_2^10 + 13*c_1001_2^9 + 3*c_1001_2^8 - 17*c_1001_2^7 - 12*c_1001_2^6 + 21*c_1001_2^5 + 8*c_1001_2^4 - 13*c_1001_2^3 - 8*c_1001_2^2 + 8*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 19 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_14, c_0101_16, c_0101_7, c_0110_5, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 190390068960684408298075763953679994/165188407866768225124457126552\ 2115*c_1001_2^19 - 75872310186477252332800288321546481/165188407866\ 7682251244571265522115*c_1001_2^18 + 57164348872857875973859501319286968/1651884078667682251244571265522\ 115*c_1001_2^17 - 1367966538695734753521857317717331769/16518840786\ 67682251244571265522115*c_1001_2^16 - 1129824886657047362877413258694453275/33037681573353645024891425310\ 4423*c_1001_2^15 - 105127735860772722292644025150798400/33037681573\ 3536450248914253104423*c_1001_2^14 + 11101434880955951893281335977985911889/1651884078667682251244571265\ 522115*c_1001_2^13 + 3134843959158342638332704693633755514/16518840\ 78667682251244571265522115*c_1001_2^12 - 20162263100157994482178543022451605277/1651884078667682251244571265\ 522115*c_1001_2^11 - 17471412751385820303058626819519258154/1651884\ 078667682251244571265522115*c_1001_2^10 + 11758133924231833929983541005885946528/1651884078667682251244571265\ 522115*c_1001_2^9 + 4819208935876241679782728576245743948/330376815\ 733536450248914253104423*c_1001_2^8 - 2742688700108814242128008005188713923/16518840786676822512445712655\ 22115*c_1001_2^7 - 20779397766976390885143476094170394028/165188407\ 8667682251244571265522115*c_1001_2^6 - 344668425519214270701988518243408971/235983439809668893034938752217\ 445*c_1001_2^5 + 6948440841612497988527395863952502874/165188407866\ 7682251244571265522115*c_1001_2^4 - 53723450002745245612544496613543530/4719668796193377860698775044348\ 9*c_1001_2^3 + 277465046345520523520450193187103874/235983439809668\ 893034938752217445*c_1001_2^2 - 14798904837686320844824366240966041\ 57/1651884078667682251244571265522115*c_1001_2 - 252822192123371919210180302809697748/235983439809668893034938752217\ 445, c_0011_0 - 1, c_0011_10 - 39927263143194410016242/541273280406170826928393*c_1001_2^1\ 9 - 78066068782590728416030/541273280406170826928393*c_1001_2^18 - 9127610162856897331140/77324754343738689561199*c_1001_2^17 - 44613561568983699448698/77324754343738689561199*c_1001_2^16 - 1621352899742330541958998/541273280406170826928393*c_1001_2^15 - 329687131773986425842062/77324754343738689561199*c_1001_2^14 + 491780221000262274167207/541273280406170826928393*c_1001_2^13 + 3474983451214141191773984/541273280406170826928393*c_1001_2^12 - 119343575172200115070276/541273280406170826928393*c_1001_2^11 - 7712699672145167926075870/541273280406170826928393*c_1001_2^10 - 1117813623552521507102927/77324754343738689561199*c_1001_2^9 + 1571230887332569089843406/541273280406170826928393*c_1001_2^8 + 7866062110961030074452308/541273280406170826928393*c_1001_2^7 + 411539536225445073166490/77324754343738689561199*c_1001_2^6 - 3346591799817756712503662/541273280406170826928393*c_1001_2^5 - 3843954555081564168792612/541273280406170826928393*c_1001_2^4 - 1284308499727780819277054/541273280406170826928393*c_1001_2^3 + 11913714199627369004780/77324754343738689561199*c_1001_2^2 + 133777219327850013983687/541273280406170826928393*c_1001_2 - 195536183625055864482166/541273280406170826928393, c_0011_12 + 1, c_0011_13 + 10266703083099004722800/541273280406170826928393*c_1001_2^1\ 9 + 14182618965846459498010/541273280406170826928393*c_1001_2^18 + 2076752384994207755402/77324754343738689561199*c_1001_2^17 + 11941836547670516798786/77324754343738689561199*c_1001_2^16 + 373876772459933613736372/541273280406170826928393*c_1001_2^15 + 62926544344820047878442/77324754343738689561199*c_1001_2^14 - 103282718245738813817612/541273280406170826928393*c_1001_2^13 - 510166005779631836754376/541273280406170826928393*c_1001_2^12 + 212675474096125328846832/541273280406170826928393*c_1001_2^11 + 1895959978262568355211946/541273280406170826928393*c_1001_2^10 + 274305155162839872696688/77324754343738689561199*c_1001_2^9 - 689754335584553331671246/541273280406170826928393*c_1001_2^8 - 2152843801604882863492178/541273280406170826928393*c_1001_2^7 + 9596361027977575736030/77324754343738689561199*c_1001_2^6 + 2369375382306441199732442/541273280406170826928393*c_1001_2^5 + 1479275787061397617716206/541273280406170826928393*c_1001_2^4 - 1680799339227225551186359/541273280406170826928393*c_1001_2^3 - 264153831143084392011936/77324754343738689561199*c_1001_2^2 + 548403923552530021290554/541273280406170826928393*c_1001_2 + 504733425892509120031010/541273280406170826928393, c_0011_14 - 6610091593889701/54710370993255103*c_1001_2^19 - 4064187872462103/54710370993255103*c_1001_2^18 - 64243957310870/7815767284750729*c_1001_2^17 - 6910058101447889/7815767284750729*c_1001_2^16 - 206578386142978590/54710370993255103*c_1001_2^15 - 10496722200787797/7815767284750729*c_1001_2^14 + 321126775203778991/54710370993255103*c_1001_2^13 + 167233113784200614/54710370993255103*c_1001_2^12 - 580275015343027489/54710370993255103*c_1001_2^11 - 687250930175420164/54710370993255103*c_1001_2^10 + 12629161536527582/7815767284750729*c_1001_2^9 + 688463963355248149/54710370993255103*c_1001_2^8 + 136949444827810213/54710370993255103*c_1001_2^7 - 69366136052789092/7815767284750729*c_1001_2^6 - 210078366447759919/54710370993255103*c_1001_2^5 + 7107168643697222/54710370993255103*c_1001_2^4 - 92706423394256897/54710370993255103*c_1001_2^3 + 18278045258075412/7815767284750729*c_1001_2^2 - 85125190694629334/54710370993255103*c_1001_2 - 76371728985153845/54710370993255103, c_0011_15 - 3532797790751084247901/541273280406170826928393*c_1001_2^19 - 15648705139490348893000/541273280406170826928393*c_1001_2^18 + 172456437375823218162/77324754343738689561199*c_1001_2^17 + 70302603066379967822/77324754343738689561199*c_1001_2^16 - 198433599387169505092372/541273280406170826928393*c_1001_2^15 - 53010931724607740254374/77324754343738689561199*c_1001_2^14 + 484730231546158128693976/541273280406170826928393*c_1001_2^13 + 1500883800293370597677497/541273280406170826928393*c_1001_2^12 - 177150788712987511687555/541273280406170826928393*c_1001_2^11 - 2348627076068615344592805/541273280406170826928393*c_1001_2^10 - 122870294096579741177500/77324754343738689561199*c_1001_2^9 + 2720116986936019816728536/541273280406170826928393*c_1001_2^8 + 2871023458294907535688620/541273280406170826928393*c_1001_2^7 - 54419989795980742137839/77324754343738689561199*c_1001_2^6 - 1929543950392963062789014/541273280406170826928393*c_1001_2^5 - 24201069058441083089201/541273280406170826928393*c_1001_2^4 - 100641234894884387720749/541273280406170826928393*c_1001_2^3 - 85992751698140335563899/77324754343738689561199*c_1001_2^2 + 1044384418229844812665371/541273280406170826928393*c_1001_2 + 448554300497318906311018/541273280406170826928393, c_0011_16 - 59309457569136678614656/541273280406170826928393*c_1001_2^1\ 9 - 63228860481858203259002/541273280406170826928393*c_1001_2^18 - 2007600396925515764050/77324754343738689561199*c_1001_2^17 - 58906522999247915741368/77324754343738689561199*c_1001_2^16 - 2036791610617122216981626/541273280406170826928393*c_1001_2^15 - 207296628704575576143920/77324754343738689561199*c_1001_2^14 + 2929008702919908397515950/541273280406170826928393*c_1001_2^13 + 3496218472144187227441202/541273280406170826928393*c_1001_2^12 - 4644415320227799828085782/541273280406170826928393*c_1001_2^11 - 9710203835912236185710448/541273280406170826928393*c_1001_2^10 - 252913551741969767329404/77324754343738689561199*c_1001_2^9 + 9492469935126191638261748/541273280406170826928393*c_1001_2^8 + 6063346785761373824178138/541273280406170826928393*c_1001_2^7 - 755945029380225304520733/77324754343738689561199*c_1001_2^6 - 5965439247236730063494234/541273280406170826928393*c_1001_2^5 + 679615839644799246248425/541273280406170826928393*c_1001_2^4 + 2048275600946069192886866/541273280406170826928393*c_1001_2^3 + 176209232800906643011126/77324754343738689561199*c_1001_2^2 - 643472029428496743414412/541273280406170826928393*c_1001_2 - 329401430793624539562259/541273280406170826928393, c_0101_0 + 18672867280555792488573/541273280406170826928393*c_1001_2^19 - 20619540685681642639931/541273280406170826928393*c_1001_2^18 - 5011940258980797828171/77324754343738689561199*c_1001_2^17 + 17724384275521075435051/77324754343738689561199*c_1001_2^16 + 366816890644917452757013/541273280406170826928393*c_1001_2^15 - 128767018568664691531721/77324754343738689561199*c_1001_2^14 - 1764241201844845387615094/541273280406170826928393*c_1001_2^13 + 1040062852210023263232501/541273280406170826928393*c_1001_2^12 + 3897242418741834686746433/541273280406170826928393*c_1001_2^11 + 5709680797559403573997/541273280406170826928393*c_1001_2^10 - 785104262404883447211964/77324754343738689561199*c_1001_2^9 - 3976501685920289737999392/541273280406170826928393*c_1001_2^8 + 4072205404528575383237810/541273280406170826928393*c_1001_2^7 + 845655708743534786400819/77324754343738689561199*c_1001_2^6 - 198310822985197677468915/541273280406170826928393*c_1001_2^5 - 3249394436053251359671946/541273280406170826928393*c_1001_2^4 - 1332127118946246965456649/541273280406170826928393*c_1001_2^3 - 106322244060415029336729/77324754343738689561199*c_1001_2^2 + 810141765478499688614578/541273280406170826928393*c_1001_2 + 270755903089608434549232/541273280406170826928393, c_0101_1 + 160147712402394744329/3320694971816998938211*c_1001_2^19 + 31442824996165836492/3320694971816998938211*c_1001_2^18 - 1919569608666743304/474384995973856991173*c_1001_2^17 + 184477374526450777884/474384995973856991173*c_1001_2^16 + 4602881389721413077670/3320694971816998938211*c_1001_2^15 - 9021317858581326830/474384995973856991173*c_1001_2^14 - 7153335226577754074048/3320694971816998938211*c_1001_2^13 + 3105254536877351659770/3320694971816998938211*c_1001_2^12 + 17498932991604879517607/3320694971816998938211*c_1001_2^11 + 7997176813142043914472/3320694971816998938211*c_1001_2^10 - 1633184126886757427366/474384995973856991173*c_1001_2^9 - 9128731319729218221086/3320694971816998938211*c_1001_2^8 + 15173797195645690323158/3320694971816998938211*c_1001_2^7 + 2710841799048161091796/474384995973856991173*c_1001_2^6 - 4549218807097179565906/3320694971816998938211*c_1001_2^5 - 7114687894974255913214/3320694971816998938211*c_1001_2^4 + 1862815740177004593905/3320694971816998938211*c_1001_2^3 - 464835898924844391998/474384995973856991173*c_1001_2^2 + 5453139240626357737370/3320694971816998938211*c_1001_2 + 3833548221481159769768/3320694971816998938211, c_0101_11 + 32737986233843889764/3320694971816998938211*c_1001_2^19 - 175949636186514538576/3320694971816998938211*c_1001_2^18 - 31501432690528180752/474384995973856991173*c_1001_2^17 + 14681725902157614784/474384995973856991173*c_1001_2^16 - 470840441749775120516/3320694971816998938211*c_1001_2^15 - 929873327698430290680/474384995973856991173*c_1001_2^14 - 7301028184594292040792/3320694971816998938211*c_1001_2^13 + 5601521938364069596212/3320694971816998938211*c_1001_2^12 + 11884554423441063375808/3320694971816998938211*c_1001_2^11 - 7263945548756661668040/3320694971816998938211*c_1001_2^10 - 3484197179932280394925/474384995973856991173*c_1001_2^9 - 15810083456387591199392/3320694971816998938211*c_1001_2^8 + 11087448486536884912326/3320694971816998938211*c_1001_2^7 + 2163669442686791901936/474384995973856991173*c_1001_2^6 + 1806927789746494651591/3320694971816998938211*c_1001_2^5 - 2825851589294400802652/3320694971816998938211*c_1001_2^4 - 3444365817339143086226/3320694971816998938211*c_1001_2^3 - 1700783841946829964532/474384995973856991173*c_1001_2^2 - 586970437482900933247/3320694971816998938211*c_1001_2 + 306399229406748838284/3320694971816998938211, c_0101_12 - 11890527301156823054263/386623771718693447805995*c_1001_2^1\ 9 - 787011126136273340678/386623771718693447805995*c_1001_2^18 + 14267414661129765653676/386623771718693447805995*c_1001_2^17 - 88677797941882716175166/386623771718693447805995*c_1001_2^16 - 333879294843563519252694/386623771718693447805995*c_1001_2^15 + 138987658445693364518881/386623771718693447805995*c_1001_2^14 + 929378284656754785014874/386623771718693447805995*c_1001_2^13 - 42102969755114951153112/77324754343738689561199*c_1001_2^12 - 2082892771272282705478876/386623771718693447805995*c_1001_2^11 - 834778592406378983812938/386623771718693447805995*c_1001_2^10 + 464746451179592086123485/77324754343738689561199*c_1001_2^9 + 2115293037251439225655061/386623771718693447805995*c_1001_2^8 - 385261202468444372726303/77324754343738689561199*c_1001_2^7 - 3305987472971394932227027/386623771718693447805995*c_1001_2^6 + 374994882755072106867438/386623771718693447805995*c_1001_2^5 + 1977612746620155441204032/386623771718693447805995*c_1001_2^4 + 66238679396143122434758/77324754343738689561199*c_1001_2^3 - 169345257248822753063299/386623771718693447805995*c_1001_2^2 - 270819440528143704725147/386623771718693447805995*c_1001_2 - 190815819973789624052923/386623771718693447805995, c_0101_14 + 23524235974887437930464/541273280406170826928393*c_1001_2^1\ 9 + 73621942566701973670480/541273280406170826928393*c_1001_2^18 + 9172602517461225205158/77324754343738689561199*c_1001_2^17 + 27778883216767585253391/77324754343738689561199*c_1001_2^16 + 1160670168507976933937513/541273280406170826928393*c_1001_2^15 + 327450957894390377834685/77324754343738689561199*c_1001_2^14 + 329283062024840872170658/541273280406170826928393*c_1001_2^13 - 3216624184806095312074419/541273280406170826928393*c_1001_2^12 - 1066849923980753587546728/541273280406170826928393*c_1001_2^11 + 6479734365957682430630626/541273280406170826928393*c_1001_2^10 + 1120110379682171432070844/77324754343738689561199*c_1001_2^9 - 773221001700601562784289/541273280406170826928393*c_1001_2^8 - 7515226022200283812666984/541273280406170826928393*c_1001_2^7 - 421001758284231032044270/77324754343738689561199*c_1001_2^6 + 3307951952253959560761723/541273280406170826928393*c_1001_2^5 + 1987828189260294405367129/541273280406170826928393*c_1001_2^4 - 570940157659755970170292/541273280406170826928393*c_1001_2^3 + 10252165422756870709893/77324754343738689561199*c_1001_2^2 + 495418423959099533259823/541273280406170826928393*c_1001_2 + 111836117627593382953716/541273280406170826928393, c_0101_16 + 4851329752271680400586/541273280406170826928393*c_1001_2^19 - 54126393394399468371996/541273280406170826928393*c_1001_2^18 - 7171044649730990197932/77324754343738689561199*c_1001_2^17 + 2341179969754783506379/77324754343738689561199*c_1001_2^16 - 277084673143912689647308/541273280406170826928393*c_1001_2^15 - 264554218112578037157097/77324754343738689561199*c_1001_2^14 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