Magma V2.19-8 Wed Aug 21 2013 00:36:30 on localhost [Seed = 3448495158] Type ? for help. Type -D to quit. Loading file "K14n24006__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24006 geometric_solution 12.40385920 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264657978255 0.659753631966 0 5 7 6 0132 0132 0132 0132 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 -1 0 1 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263361974347 1.371530413062 8 0 9 6 0132 0132 0132 2031 0 0 0 0 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 0 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096051139275 0.866195540234 7 10 5 0 2031 0132 2031 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 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 0.453886981841 0.694481914093 10 11 0 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 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 0.462498192247 1.116734590681 12 1 9 3 0132 0132 3201 1302 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 -1 1 0 0 0 0 0 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533010242890 0.839345492233 10 2 1 9 2103 1302 0132 3201 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 -1 -16 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107231699004 0.582700286574 11 4 3 1 0213 1302 1302 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 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 0.683437396919 0.764362790823 2 12 9 12 0132 0132 0321 0213 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 -1 1 0 0 1 -1 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446048663998 0.725404984348 5 6 8 2 2310 2310 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757234174281 0.723490842460 4 3 6 11 0132 0132 2103 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0.562461240811 0.823428841659 7 4 12 10 0213 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316562603081 0.764362790823 5 8 11 8 0132 0132 3120 0213 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 1 -1 0 0 0 0 -17 16 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446048663998 0.725404984348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0110_6']), 'c_1010_10' : negation(d['c_0101_12']), '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_0011_7'], '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_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_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : negation(d['c_0011_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' : negation(d['c_0011_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' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_0101_1']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], '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_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_0110_6, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 42114393555989393/46622613477577*c_1001_8^9 - 1187786138892342501/512848748253347*c_1001_8^8 + 2799262470689842/22297771663189*c_1001_8^7 + 4387918686326032944/512848748253347*c_1001_8^6 - 1925225180543462280/512848748253347*c_1001_8^5 + 215415068255784076/512848748253347*c_1001_8^4 + 54328203782335083/22297771663189*c_1001_8^3 - 498195913805613209/512848748253347*c_1001_8^2 - 228256465983493570/512848748253347*c_1001_8 + 55838339344663871/512848748253347, c_0011_0 - 1, c_0011_10 - 4920321285/957520147*c_1001_8^9 + 11844597299/957520147*c_1001_8^8 - 321873835/957520147*c_1001_8^7 - 42280547879/957520147*c_1001_8^6 + 11868142271/957520147*c_1001_8^5 - 13521847381/957520147*c_1001_8^4 - 4448369313/957520147*c_1001_8^3 - 485705481/957520147*c_1001_8^2 - 195213396/957520147*c_1001_8 + 1005915451/957520147, c_0011_6 + 1707230635/957520147*c_1001_8^9 - 4156338863/957520147*c_1001_8^8 + 129571895/957520147*c_1001_8^7 + 14941616101/957520147*c_1001_8^6 - 4732841533/957520147*c_1001_8^5 + 4302891163/957520147*c_1001_8^4 + 2009510455/957520147*c_1001_8^3 - 480367495/957520147*c_1001_8^2 - 172362724/957520147*c_1001_8 + 187121455/957520147, c_0011_7 + 3313775960/957520147*c_1001_8^9 - 8000468081/957520147*c_1001_8^8 + 225722865/957520147*c_1001_8^7 + 28611081990/957520147*c_1001_8^6 - 8300491902/957520147*c_1001_8^5 + 8912369272/957520147*c_1001_8^4 + 3228939884/957520147*c_1001_8^3 + 2668993/957520147*c_1001_8^2 + 11425336/957520147*c_1001_8 - 409396998/957520147, c_0011_9 + 1912682629/957520147*c_1001_8^9 - 2855278753/957520147*c_1001_8^8 - 3789814425/957520147*c_1001_8^7 + 16030402913/957520147*c_1001_8^6 + 10313922640/957520147*c_1001_8^5 + 2660174094/957520147*c_1001_8^4 + 7865784287/957520147*c_1001_8^3 + 5310967240/957520147*c_1001_8^2 + 79877451/957520147*c_1001_8 + 165489933/957520147, c_0101_0 + 1606545325/957520147*c_1001_8^9 - 3844129218/957520147*c_1001_8^8 + 96150970/957520147*c_1001_8^7 + 13669465889/957520147*c_1001_8^6 - 3567650369/957520147*c_1001_8^5 + 4609478109/957520147*c_1001_8^4 + 1219429429/957520147*c_1001_8^3 + 483036488/957520147*c_1001_8^2 + 183788060/957520147*c_1001_8 - 596518453/957520147, c_0101_1 + 1488660558/957520147*c_1001_8^9 + 545084156/957520147*c_1001_8^8 - 10632326884/957520147*c_1001_8^7 + 14700747733/957520147*c_1001_8^6 + 33053498589/957520147*c_1001_8^5 - 14193644831/957520147*c_1001_8^4 + 12761421718/957520147*c_1001_8^3 + 7431120225/957520147*c_1001_8^2 - 2073588255/957520147*c_1001_8 + 199744970/957520147, c_0101_12 - 424022071/957520147*c_1001_8^9 + 3400362909/957520147*c_1001_8^8 - 6842512459/957520147*c_1001_8^7 - 1329655180/957520147*c_1001_8^6 + 22739575949/957520147*c_1001_8^5 - 16853818925/957520147*c_1001_8^4 + 4895637431/957520147*c_1001_8^3 + 2120152985/957520147*c_1001_8^2 - 2153465706/957520147*c_1001_8 + 34255037/957520147, c_0101_2 - 951028848/957520147*c_1001_8^9 + 1228274721/957520147*c_1001_8^8 + 2305882342/957520147*c_1001_8^7 - 7813322931/957520147*c_1001_8^6 - 7104990273/957520147*c_1001_8^5 - 1019315810/957520147*c_1001_8^4 - 3317350741/957520147*c_1001_8^3 - 4248325795/957520147*c_1001_8^2 - 720018874/957520147*c_1001_8 + 446978556/957520147, c_0101_8 + 7493355166/957520147*c_1001_8^9 - 14301682236/957520147*c_1001_8^8 - 8186911511/957520147*c_1001_8^7 + 64959326241/957520147*c_1001_8^6 + 11793449640/957520147*c_1001_8^5 + 13548949744/957520147*c_1001_8^4 + 25837320413/957520147*c_1001_8^3 + 6647053878/957520147*c_1001_8^2 + 1719787891/957520147*c_1001_8 + 1196606607/957520147, c_0110_6 - 683285086/957520147*c_1001_8^9 + 259657740/957520147*c_1001_8^8 + 4122720354/957520147*c_1001_8^7 - 7942623854/957520147*c_1001_8^6 - 10423285235/957520147*c_1001_8^5 + 9023621192/957520147*c_1001_8^4 - 6070103912/957520147*c_1001_8^3 - 727474565/957520147*c_1001_8^2 + 1270388355/957520147*c_1001_8 - 257440535/957520147, c_1001_1 + 1107307157/957520147*c_1001_8^9 - 3660020649/957520147*c_1001_8^8 + 2719792105/957520147*c_1001_8^7 + 9272279034/957520147*c_1001_8^6 - 12316290714/957520147*c_1001_8^5 + 7830197733/957520147*c_1001_8^4 + 1174466481/957520147*c_1001_8^3 - 1392678420/957520147*c_1001_8^2 + 883077351/957520147*c_1001_8 + 223185498/957520147, c_1001_8^10 - 17/11*c_1001_8^9 - 20/11*c_1001_8^8 + 92/11*c_1001_8^7 + 52/11*c_1001_8^6 + 2*c_1001_8^5 + 47/11*c_1001_8^4 + 26/11*c_1001_8^3 + 6/11*c_1001_8^2 + 3/11*c_1001_8 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.580 Total time: 3.799 seconds, Total memory usage: 80.25MB