Magma V2.19-8 Wed Aug 21 2013 00:50:57 on localhost [Seed = 660681257] Type ? for help. Type -D to quit. Loading file "L10a72__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a72 geometric_solution 11.78058065 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 -1 4 0 -4 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 0.678862219533 0.352627799340 0 2 6 5 0132 0213 0132 0132 1 1 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869343566695 1.027241673789 3 0 1 3 2031 0132 0213 3201 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 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 0.481361945660 0.625907669996 4 2 2 0 3120 2310 1302 0132 1 1 1 1 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 1 -1 -5 0 1 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481361945660 0.625907669996 6 7 0 3 0132 0132 0132 3120 1 1 1 1 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 -1 1 0 -5 0 0 5 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869343566695 1.027241673789 8 7 1 9 0132 0213 0132 0132 1 1 1 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 0 0 0 0 0 0 0 1 0 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271721160006 0.739177580236 4 9 10 1 0132 2031 0132 0132 1 1 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 0 0 0 5 0 -5 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251227187028 0.437027694114 11 4 5 9 0132 0132 0213 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614614578843 1.062784862166 5 11 11 10 0132 0321 0213 3120 0 1 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 1 -2 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 0.002632837295 1.198115804543 6 7 5 12 1302 1302 0132 0132 1 1 1 1 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 1 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589211857752 0.490879360059 8 12 12 6 3120 3012 0132 0132 1 1 1 0 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 -5 5 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002632837295 1.198115804543 7 8 12 8 0132 0213 2310 0321 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 -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 0.410401543435 0.493006581513 10 11 9 10 1230 3201 0132 0132 1 1 0 1 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 -1 1 0 -5 0 0 5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002632837295 1.198115804543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : 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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_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' : 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' : d['1'], 's_0_2' : 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_1100_1'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_5'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(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_5, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17533906189/456814771*c_1100_1^14 - 15974102138/456814771*c_1100_1^13 + 2742618122/65259253*c_1100_1^12 + 120732157397/456814771*c_1100_1^11 + 127575354341/456814771*c_1100_1^10 - 39777666673/65259253*c_1100_1^9 - 502041281541/456814771*c_1100_1^8 + 75529264844/456814771*c_1100_1^7 + 571832486587/456814771*c_1100_1^6 + 255409676815/456814771*c_1100_1^5 - 113996770584/456814771*c_1100_1^4 - 75956645445/456814771*c_1100_1^3 - 37275915354/456814771*c_1100_1^2 - 43245883651/456814771*c_1100_1 - 19180665466/456814771, c_0011_0 - 1, c_0011_10 - 1648/108947*c_1100_1^14 + 84089/108947*c_1100_1^13 - 654/108947*c_1100_1^12 - 93851/108947*c_1100_1^11 - 480390/108947*c_1100_1^10 - 171487/108947*c_1100_1^9 + 1529791/108947*c_1100_1^8 + 1006508/108947*c_1100_1^7 - 1505182/108947*c_1100_1^6 - 1507299/108947*c_1100_1^5 + 400098/108947*c_1100_1^4 + 482114/108947*c_1100_1^3 - 79400/108947*c_1100_1^2 + 104894/108947*c_1100_1 + 50915/108947, c_0011_11 - c_1100_1, c_0011_12 - 1, c_0011_3 + 66899/108947*c_1100_1^14 - 24984/108947*c_1100_1^13 - 127749/108947*c_1100_1^12 - 325632/108947*c_1100_1^11 + 78398/108947*c_1100_1^10 + 1496087/108947*c_1100_1^9 + 291242/108947*c_1100_1^8 - 2416079/108947*c_1100_1^7 - 741189/108947*c_1100_1^6 + 1834333/108947*c_1100_1^5 + 526851/108947*c_1100_1^4 - 744153/108947*c_1100_1^3 + 38848/108947*c_1100_1^2 + 112368/108947*c_1100_1 - 97140/108947, c_0011_5 + 40267/108947*c_1100_1^14 + 65154/108947*c_1100_1^13 - 52641/108947*c_1100_1^12 - 274186/108947*c_1100_1^11 - 444582/108947*c_1100_1^10 + 612357/108947*c_1100_1^9 + 1478823/108947*c_1100_1^8 - 76891/108947*c_1100_1^7 - 1348624/108947*c_1100_1^6 - 550994/108947*c_1100_1^5 + 182796/108947*c_1100_1^4 - 156292/108947*c_1100_1^3 + 4917/108947*c_1100_1^2 + 404915/108947*c_1100_1 + 20674/108947, c_0011_9 - 31809/108947*c_1100_1^14 + 57400/108947*c_1100_1^13 + 84292/108947*c_1100_1^12 + 116321/108947*c_1100_1^11 - 288785/108947*c_1100_1^10 - 965692/108947*c_1100_1^9 + 548205/108947*c_1100_1^8 + 1877999/108947*c_1100_1^7 + 129146/108947*c_1100_1^6 - 1386797/108947*c_1100_1^5 - 582174/108947*c_1100_1^4 + 146212/108947*c_1100_1^3 - 85031/108947*c_1100_1^2 + 93587/108947*c_1100_1 + 21190/108947, c_0101_0 + 31809/108947*c_1100_1^14 - 57400/108947*c_1100_1^13 - 84292/108947*c_1100_1^12 - 116321/108947*c_1100_1^11 + 288785/108947*c_1100_1^10 + 965692/108947*c_1100_1^9 - 548205/108947*c_1100_1^8 - 1877999/108947*c_1100_1^7 - 129146/108947*c_1100_1^6 + 1386797/108947*c_1100_1^5 + 582174/108947*c_1100_1^4 - 146212/108947*c_1100_1^3 + 85031/108947*c_1100_1^2 - 93587/108947*c_1100_1 - 21190/108947, c_0101_1 + 66899/108947*c_1100_1^14 - 24984/108947*c_1100_1^13 - 127749/108947*c_1100_1^12 - 325632/108947*c_1100_1^11 + 78398/108947*c_1100_1^10 + 1496087/108947*c_1100_1^9 + 291242/108947*c_1100_1^8 - 2416079/108947*c_1100_1^7 - 741189/108947*c_1100_1^6 + 1834333/108947*c_1100_1^5 + 526851/108947*c_1100_1^4 - 744153/108947*c_1100_1^3 + 38848/108947*c_1100_1^2 + 112368/108947*c_1100_1 - 97140/108947, c_0101_11 - 112567/108947*c_1100_1^14 - 55132/108947*c_1100_1^13 + 133425/108947*c_1100_1^12 + 678380/108947*c_1100_1^11 + 471619/108947*c_1100_1^10 - 1922837/108947*c_1100_1^9 - 2113716/108947*c_1100_1^8 + 1659816/108947*c_1100_1^7 + 2569977/108947*c_1100_1^6 - 693828/108947*c_1100_1^5 - 1045698/108947*c_1100_1^4 + 790876/108947*c_1100_1^3 + 244454/108947*c_1100_1^2 - 228119/108947*c_1100_1 + 29072/108947, c_0101_12 - 40267/108947*c_1100_1^14 - 65154/108947*c_1100_1^13 + 52641/108947*c_1100_1^12 + 274186/108947*c_1100_1^11 + 444582/108947*c_1100_1^10 - 612357/108947*c_1100_1^9 - 1478823/108947*c_1100_1^8 + 76891/108947*c_1100_1^7 + 1348624/108947*c_1100_1^6 + 550994/108947*c_1100_1^5 - 182796/108947*c_1100_1^4 + 156292/108947*c_1100_1^3 - 4917/108947*c_1100_1^2 - 187021/108947*c_1100_1 - 20674/108947, c_0110_2 - 50915/108947*c_1100_1^14 + 1648/108947*c_1100_1^13 + 17741/108947*c_1100_1^12 + 306144/108947*c_1100_1^11 + 144766/108947*c_1100_1^10 - 690655/108947*c_1100_1^9 - 592238/108947*c_1100_1^8 + 48574/108947*c_1100_1^7 + 571857/108947*c_1100_1^6 + 792372/108947*c_1100_1^5 + 438084/108947*c_1100_1^4 - 400098/108947*c_1100_1^3 - 431199/108947*c_1100_1^2 + 28485/108947*c_1100_1 - 53979/108947, c_1100_1^15 - 2*c_1100_1^13 - 6*c_1100_1^12 - c_1100_1^11 + 23*c_1100_1^10 + 15*c_1100_1^9 - 31*c_1100_1^8 - 31*c_1100_1^7 + 14*c_1100_1^6 + 21*c_1100_1^5 - c_1100_1^3 + c_1100_1^2 - c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB