Magma V2.19-8 Tue Aug 20 2013 23:39:17 on localhost [Seed = 896749927] Type ? for help. Type -D to quit. Loading file "K13n1836__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1836 geometric_solution 10.59659236 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 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 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 0.295213887153 0.983211885376 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 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 0.582797906071 0.528224773159 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 0 0 0 -1 0 0 1 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365797570133 0.805983832973 4 8 5 0 0321 2103 2103 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 -1 0 1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481599090936 0.671854824554 3 6 0 10 0321 2031 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 -1 0 -1 0 0 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 0.212126298913 1.119987230679 3 1 7 9 2103 0132 3201 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178608235437 0.991053883843 4 2 1 10 1302 1302 0132 3120 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 -1 0 1 0 0 0 0 -1 0 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675976006261 0.761752033720 5 9 8 1 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992804796714 0.892154594337 2 3 7 10 0132 2103 0321 3201 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 1 0 0 -1 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365797570133 0.805983832973 5 10 7 2 3012 2310 3012 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 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 0.902609958368 0.947504818671 6 8 4 9 3120 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472849833422 1.111628549779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_10'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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_10' : 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_0011_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0110_10']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_6']), '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'], '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' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_7, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 38297802077/12092052*c_0110_10^8 - 22885556273/8637180*c_0110_10^7 + 344494849639/60460260*c_0110_10^6 + 1220485122811/60460260*c_0110_10^5 + 184664936627/20153420*c_0110_10^4 + 8418679303/2879060*c_0110_10^3 + 178242852309/10076710*c_0110_10^2 + 94199371527/20153420*c_0110_10 + 81679877287/30230130, c_0011_0 - 1, c_0011_10 - 1563615/1151624*c_0110_10^8 + 258711/287906*c_0110_10^7 - 571841/287906*c_0110_10^6 - 5306121/575812*c_0110_10^5 - 690130/143953*c_0110_10^4 - 58718/143953*c_0110_10^3 - 7533127/1151624*c_0110_10^2 - 2566743/1151624*c_0110_10 - 510967/1151624, c_0011_3 - c_0110_10, c_0011_4 + 298685/575812*c_0110_10^8 - 44524/143953*c_0110_10^7 + 138333/143953*c_0110_10^6 + 957127/287906*c_0110_10^5 + 373316/143953*c_0110_10^4 + 240771/143953*c_0110_10^3 + 1350577/575812*c_0110_10^2 + 852117/575812*c_0110_10 + 613637/575812, c_0011_6 - 5691785/4030684*c_0110_10^8 + 180387/143953*c_0110_10^7 - 2654560/1007671*c_0110_10^6 - 17513977/2015342*c_0110_10^5 - 3837040/1007671*c_0110_10^4 - 110549/143953*c_0110_10^3 - 29162381/4030684*c_0110_10^2 - 4721961/4030684*c_0110_10 - 2342937/4030684, c_0011_7 + 1245365/8061368*c_0110_10^8 + 124547/287906*c_0110_10^7 - 436823/2015342*c_0110_10^6 + 7867443/4030684*c_0110_10^5 + 4082236/1007671*c_0110_10^4 + 177681/143953*c_0110_10^3 + 7087933/8061368*c_0110_10^2 + 22579821/8061368*c_0110_10 + 2512885/8061368, c_0011_9 + 298685/575812*c_0110_10^8 - 44524/143953*c_0110_10^7 + 138333/143953*c_0110_10^6 + 957127/287906*c_0110_10^5 + 373316/143953*c_0110_10^4 + 240771/143953*c_0110_10^3 + 1350577/575812*c_0110_10^2 + 852117/575812*c_0110_10 + 613637/575812, c_0101_1 + 9564605/4030684*c_0110_10^8 - 324791/143953*c_0110_10^7 + 4263846/1007671*c_0110_10^6 + 30333371/2015342*c_0110_10^5 + 4632639/1007671*c_0110_10^4 - 1482/143953*c_0110_10^3 + 53763013/4030684*c_0110_10^2 + 9961349/4030684*c_0110_10 + 3003149/4030684, c_0101_7 - 1245365/8061368*c_0110_10^8 - 124547/287906*c_0110_10^7 + 436823/2015342*c_0110_10^6 - 7867443/4030684*c_0110_10^5 - 4082236/1007671*c_0110_10^4 - 177681/143953*c_0110_10^3 - 7087933/8061368*c_0110_10^2 - 22579821/8061368*c_0110_10 - 2512885/8061368, c_0101_9 + 5453985/4030684*c_0110_10^8 - 88237/143953*c_0110_10^7 + 1857067/1007671*c_0110_10^6 + 19103417/2015342*c_0110_10^5 + 7298507/1007671*c_0110_10^4 + 206454/143953*c_0110_10^3 + 26384177/4030684*c_0110_10^2 + 20256385/4030684*c_0110_10 + 5790221/4030684, c_0110_10^9 - 3/5*c_0110_10^8 + 8/5*c_0110_10^7 + 34/5*c_0110_10^6 + 22/5*c_0110_10^5 + 8/5*c_0110_10^4 + 29/5*c_0110_10^3 + 14/5*c_0110_10^2 + 6/5*c_0110_10 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB