Magma V2.19-8 Wed Aug 21 2013 01:05:23 on localhost [Seed = 3651125587] Type ? for help. Type -D to quit. Loading file "L14n25793__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25793 geometric_solution 11.77946963 oriented_manifold CS_known -0.0000000000000005 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 -1 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 -1 0 1 2 0 -2 0 0 -1 0 1 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616496583623 0.593139973373 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 -7 7 -2 0 3 -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 0.756558250881 0.481858114676 8 0 9 5 0132 0132 0132 3012 1 1 1 1 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 1 0 -1 0 0 -6 6 0 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318746811398 1.018862302225 8 10 7 0 2031 0132 3120 0132 1 0 1 1 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 -2 2 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547830244143 0.867379008485 6 11 0 8 0132 0132 0132 2031 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 -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 -0.017001724910 1.086788469695 10 1 2 9 2310 0132 1230 3120 1 1 1 1 0 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 -6 6 0 0 -6 6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877267759559 0.676879161694 4 9 1 12 0132 1230 0132 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 0 -7 7 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 0.188371687003 0.720121115421 12 11 3 1 0132 2310 3120 0132 1 0 1 1 0 1 0 -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 -7 0 7 1 0 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592481507042 1.204373611547 2 4 3 12 0132 1302 1302 1023 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 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 0.516915806573 0.651564876696 5 11 6 2 3120 3012 3012 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -6 0 0 6 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082336729027 0.552685659414 12 3 5 11 1230 0132 3201 3012 1 1 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 0 0 0 0 0 0 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 0.500624776283 0.569263853377 9 4 10 7 1230 0132 1230 3201 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 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.430777035679 0.370697031602 7 10 6 8 0132 3012 0132 1023 1 0 1 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 7 -7 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 0.354686076157 1.263537898047 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : 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_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' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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_3']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], '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' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_11'], '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_0011_9'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), '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_0011_10'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 116618853368933/25613407005615*c_1001_5^8 + 98495854306703/8537802335205*c_1001_5^7 - 243539106650816/25613407005615*c_1001_5^6 - 275624074606326/2845934111735*c_1001_5^5 + 975728197607888/1707560467041*c_1001_5^4 - 30121585773570301/25613407005615*c_1001_5^3 + 24706781847117767/25613407005615*c_1001_5^2 - 3458428158420658/25613407005615*c_1001_5 - 271548258340067/1970262077355, c_0011_0 - 1, c_0011_10 + 88525/1578489*c_1001_5^8 - 217504/1578489*c_1001_5^7 - 63033/526163*c_1001_5^6 + 1729696/1578489*c_1001_5^5 - 11302988/1578489*c_1001_5^4 + 4562496/526163*c_1001_5^3 + 4062334/1578489*c_1001_5^2 - 7229260/1578489*c_1001_5 - 2318854/1578489, c_0011_11 + 1229962/1578489*c_1001_5^8 - 847375/1578489*c_1001_5^7 + 10227/526163*c_1001_5^6 + 27023140/1578489*c_1001_5^5 - 104862905/1578489*c_1001_5^4 + 34285981/526163*c_1001_5^3 + 15093178/1578489*c_1001_5^2 - 34570288/1578489*c_1001_5 - 9623371/1578489, c_0011_12 + 1474997/1578489*c_1001_5^8 - 1487579/1578489*c_1001_5^7 - 159581/526163*c_1001_5^6 + 31822664/1578489*c_1001_5^5 - 136953562/1578489*c_1001_5^4 + 47978951/526163*c_1001_5^3 + 23444360/1578489*c_1001_5^2 - 55988903/1578489*c_1001_5 - 19396625/1578489, c_0011_9 - 325551/526163*c_1001_5^8 + 6642/526163*c_1001_5^7 - 151994/526163*c_1001_5^6 - 7290600/526163*c_1001_5^5 + 22826246/526163*c_1001_5^4 - 15240960/526163*c_1001_5^3 - 4498349/526163*c_1001_5^2 + 2266408/526163*c_1001_5 + 710140/526163, c_0101_0 - 1, c_0101_1 + 232792/526163*c_1001_5^8 - 54652/526163*c_1001_5^7 - 18263/526163*c_1001_5^6 + 5144308/526163*c_1001_5^5 - 17535303/526163*c_1001_5^4 + 11472806/526163*c_1001_5^3 + 8745840/526163*c_1001_5^2 - 5874570/526163*c_1001_5 - 2523990/526163, c_0101_10 - 2041913/1578489*c_1001_5^8 + 1320695/1578489*c_1001_5^7 - 22984/526163*c_1001_5^6 - 44846837/1578489*c_1001_5^5 + 172255069/1578489*c_1001_5^4 - 54940938/526163*c_1001_5^3 - 25921898/1578489*c_1001_5^2 + 53987042/1578489*c_1001_5 + 18055607/1578489, c_0101_11 + 126157/1578489*c_1001_5^8 + 156797/1578489*c_1001_5^7 + 80529/526163*c_1001_5^6 + 3017341/1578489*c_1001_5^5 - 5102261/1578489*c_1001_5^4 - 311917/526163*c_1001_5^3 - 875405/1578489*c_1001_5^2 + 4286099/1578489*c_1001_5 + 2075048/1578489, c_0101_3 + 85381/526163*c_1001_5^8 - 244413/526163*c_1001_5^7 - 129110/526163*c_1001_5^6 + 1712385/526163*c_1001_5^5 - 11560972/526163*c_1001_5^4 + 17016872/526163*c_1001_5^3 - 130071/526163*c_1001_5^2 - 7241342/526163*c_1001_5 - 2316156/526163, c_0101_5 + 420845/1578489*c_1001_5^8 - 279845/1578489*c_1001_5^7 + 10127/526163*c_1001_5^6 + 9185258/1578489*c_1001_5^5 - 35769490/1578489*c_1001_5^4 + 11602875/526163*c_1001_5^3 + 2276114/1578489*c_1001_5^2 - 9106496/1578489*c_1001_5 - 2225141/1578489, c_0101_7 - 444143/526163*c_1001_5^8 + 354568/526163*c_1001_5^7 - 549/526163*c_1001_5^6 - 9692094/526163*c_1001_5^5 + 39018967/526163*c_1001_5^4 - 40144230/526163*c_1001_5^3 - 2808591/526163*c_1001_5^2 + 12019307/526163*c_1001_5 + 3909978/526163, c_1001_5^9 - 2*c_1001_5^8 + c_1001_5^7 + 22*c_1001_5^6 - 114*c_1001_5^5 + 197*c_1001_5^4 - 101*c_1001_5^3 - 44*c_1001_5^2 + 30*c_1001_5 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB