Magma V2.19-8 Wed Aug 21 2013 00:52:11 on localhost [Seed = 492505155] Type ? for help. Type -D to quit. Loading file "L12a1060__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1060 geometric_solution 11.15967517 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 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 0 0 0 0 0 0 1 0 -1 -1 0 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 1.163520302813 0.738907845447 0 4 2 0 0132 0132 2031 1302 1 1 1 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 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 0.387544916308 0.388947116118 3 0 5 1 0213 0132 0132 1302 1 0 1 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 0 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 0.776178629596 0.476425277108 2 6 0 4 0213 0132 0132 1023 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 -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 0.774886589525 0.651429684457 7 1 8 3 0132 0132 0132 1023 1 1 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 1 -1 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 1.133606627773 0.502512185654 9 6 7 2 0132 0321 2310 0132 1 0 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 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 0.764138626443 0.319981284077 9 3 10 5 2031 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181856795627 1.020606591615 4 5 10 10 0132 3201 3012 1302 1 1 1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.287195717298 0.581408638405 10 11 12 4 0132 0132 0132 0132 1 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 0 1 -1 0 0 -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 0.467631054399 0.693023725463 5 12 6 11 0132 0132 1302 1230 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697093016448 0.907457137095 8 7 7 6 0132 1230 2031 0132 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 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 0.648995005239 1.130578041474 9 8 12 12 3012 0132 0321 3120 1 1 0 1 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 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 -0.080637687949 0.946789608449 11 9 11 8 3120 0132 0321 0132 1 1 0 1 0 1 0 -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 1 0 -1 -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 0.612475973094 0.320631958447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0101_7'], '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'], 'c_0101_12' : negation(d['c_0101_11']), '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' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : negation(d['c_0011_0']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_5']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_11'], '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' : d['c_1001_11'], '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_12']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_6'], '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_0011_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0110_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0011_12']), 's_2_9' : d['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_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_2, c_1001_11, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10792129/195810*c_1001_5^7 - 1413122/97905*c_1001_5^6 - 29014647/65270*c_1001_5^5 - 65942081/195810*c_1001_5^4 - 222046381/195810*c_1001_5^3 - 230519633/195810*c_1001_5^2 - 547310/6527*c_1001_5 + 13283227/65270, c_0011_0 - 1, c_0011_10 + 446/321*c_1001_5^7 + 49/321*c_1001_5^6 + 1212/107*c_1001_5^5 + 2159/321*c_1001_5^4 + 3046/107*c_1001_5^3 + 8222/321*c_1001_5^2 + 173/321*c_1001_5 - 1105/321, c_0011_12 - 382/321*c_1001_5^7 - 65/321*c_1001_5^6 - 1040/107*c_1001_5^5 - 2032/321*c_1001_5^4 - 2678/107*c_1001_5^3 - 7474/321*c_1001_5^2 - 616/321*c_1001_5 + 1040/321, c_0011_3 + 130/321*c_1001_5^7 + 128/321*c_1001_5^6 + 336/107*c_1001_5^5 + 1552/321*c_1001_5^4 + 908/107*c_1001_5^3 + 4609/321*c_1001_5^2 + 976/321*c_1001_5 - 764/321, c_0101_0 - 1, c_0101_10 + 16/321*c_1001_5^7 - 4/321*c_1001_5^6 + 43/107*c_1001_5^5 + 112/321*c_1001_5^4 + 92/107*c_1001_5^3 + 508/321*c_1001_5^2 - 191/321*c_1001_5 + 64/321, c_0101_11 - 1, c_0101_6 - 382/321*c_1001_5^7 - 65/321*c_1001_5^6 - 1040/107*c_1001_5^5 - 2032/321*c_1001_5^4 - 2678/107*c_1001_5^3 - 7474/321*c_1001_5^2 - 937/321*c_1001_5 + 1040/321, c_0101_7 - 146/321*c_1001_5^7 - 124/321*c_1001_5^6 - 379/107*c_1001_5^5 - 1664/321*c_1001_5^4 - 1000/107*c_1001_5^3 - 5117/321*c_1001_5^2 - 785/321*c_1001_5 + 1021/321, c_0110_2 - 65/321*c_1001_5^7 - 64/321*c_1001_5^6 - 168/107*c_1001_5^5 - 776/321*c_1001_5^4 - 454/107*c_1001_5^3 - 2144/321*c_1001_5^2 - 488/321*c_1001_5 + 703/321, c_1001_11 - 65/321*c_1001_5^7 - 64/321*c_1001_5^6 - 168/107*c_1001_5^5 - 776/321*c_1001_5^4 - 454/107*c_1001_5^3 - 2144/321*c_1001_5^2 - 488/321*c_1001_5 + 382/321, c_1001_2 + 65/321*c_1001_5^7 + 64/321*c_1001_5^6 + 168/107*c_1001_5^5 + 776/321*c_1001_5^4 + 454/107*c_1001_5^3 + 2144/321*c_1001_5^2 + 488/321*c_1001_5 - 703/321, c_1001_5^8 + 8*c_1001_5^6 + 4*c_1001_5^5 + 19*c_1001_5^4 + 16*c_1001_5^3 - 4*c_1001_5^2 - 4*c_1001_5 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_2, c_1001_11, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 4331796138429189172111199/2644293469168306551728000*c_1001_5^10 - 105498723412254589845677/60097578844734239812000*c_1001_5^9 - 11883925987387898752442911/661073367292076637932000*c_1001_5^8 + 166792458964447527525528891/1322146734584153275864000*c_1001_5^7 + 1868365831101867132221275861/2644293469168306551728000*c_1001_5^6 + 94458033146507884127820923/33053668364603831896600*c_1001_5^5 + 1374214141256502546014003827/330536683646038318966000*c_1001_5^4 - 3709333645612603831052459893/1322146734584153275864000*c_1001_5^3 - 21004536217573271963749387703/2644293469168306551728000*c_1001_5^2 - 19214612282681254405383603/165268341823019159483000*c_1001_5 + 1265653752377695950221053799/330536683646038318966000, c_0011_0 - 1, c_0011_10 - 52464507488944573/60097578844734239812*c_1001_5^10 - 49843709107536779/30048789422367119906*c_1001_5^9 - 158592287831384367/15024394711183559953*c_1001_5^8 + 1696296860047256693/30048789422367119906*c_1001_5^7 + 25943740863188600175/60097578844734239812*c_1001_5^6 + 54584223406301978891/30048789422367119906*c_1001_5^5 + 57302133522238565689/15024394711183559953*c_1001_5^4 + 41413186310761545537/30048789422367119906*c_1001_5^3 - 85280791461786685273/60097578844734239812*c_1001_5^2 - 46342597967616563175/30048789422367119906*c_1001_5 - 18394086638364267459/15024394711183559953, c_0011_12 - 247403657347846397/240390315378936959248*c_1001_5^10 - 16465955603408723/30048789422367119906*c_1001_5^9 - 757163279608148535/60097578844734239812*c_1001_5^8 + 10284030288638027961/120195157689468479624*c_1001_5^7 + 90948430340978501623/240390315378936959248*c_1001_5^6 + 103820138154439771067/60097578844734239812*c_1001_5^5 + 33751618077283553701/15024394711183559953*c_1001_5^4 - 53391250010635232559/120195157689468479624*c_1001_5^3 - 427521084713236914621/240390315378936959248*c_1001_5^2 - 51796012470338074321/60097578844734239812*c_1001_5 - 3315264453839125927/15024394711183559953, c_0011_3 - 441709775028240257/240390315378936959248*c_1001_5^10 - 55663129524589415/60097578844734239812*c_1001_5^9 - 1463610649384606303/60097578844734239812*c_1001_5^8 + 18579874191648927525/120195157689468479624*c_1001_5^7 + 155537113400032472283/240390315378936959248*c_1001_5^6 + 97696089238352263945/30048789422367119906*c_1001_5^5 + 65950849654413464587/15024394711183559953*c_1001_5^4 + 208481915782185545333/120195157689468479624*c_1001_5^3 - 553146397303784778441/240390315378936959248*c_1001_5^2 - 78293250616937260343/30048789422367119906*c_1001_5 - 12853902827994686177/15024394711183559953, c_0101_0 - 1, c_0101_10 - 2038829848818489/120195157689468479624*c_1001_5^10 + 31423254496917399/30048789422367119906*c_1001_5^9 - 3479585962816091/30048789422367119906*c_1001_5^8 + 878915734931761629/60097578844734239812*c_1001_5^7 - 10604614112415217437/120195157689468479624*c_1001_5^6 - 4678051506376258191/15024394711183559953*c_1001_5^5 - 24292935550106717004/15024394711183559953*c_1001_5^4 - 97677321867099069795/60097578844734239812*c_1001_5^3 + 107319247601506830783/120195157689468479624*c_1001_5^2 + 17922605925852809687/15024394711183559953*c_1001_5 + 13135660636646715624/15024394711183559953, c_0101_11 + 84689882961686781/240390315378936959248*c_1001_5^10 + 26930748492057319/60097578844734239812*c_1001_5^9 + 283209278607789651/60097578844734239812*c_1001_5^8 - 3176228735818613105/120195157689468479624*c_1001_5^7 - 35392017235964841999/240390315378936959248*c_1001_5^6 - 21520170379471790355/30048789422367119906*c_1001_5^5 - 18729676350149573963/15024394711183559953*c_1001_5^4 - 89305668806529247841/120195157689468479624*c_1001_5^3 + 153451734308432244277/240390315378936959248*c_1001_5^2 + 25662794533570879009/30048789422367119906*c_1001_5 + 5376877338827955810/15024394711183559953, c_0101_6 + 263992256296478383/240390315378936959248*c_1001_5^10 + 56323061809820923/60097578844734239812*c_1001_5^9 + 805756842357357901/60097578844734239812*c_1001_5^8 - 10367983083802953835/120195157689468479624*c_1001_5^7 - 105039740677799031157/240390315378936959248*c_1001_5^6 - 29241702918977569861/15024394711183559953*c_1001_5^5 - 44736618530058340714/15024394711183559953*c_1001_5^4 - 16418550479198960971/120195157689468479624*c_1001_5^3 + 422888321484217947015/240390315378936959248*c_1001_5^2 + 18040815304945830970/15024394711183559953*c_1001_5 + 9192273919447295680/15024394711183559953, c_0101_7 + 445787434725877235/240390315378936959248*c_1001_5^10 - 7183379469245383/60097578844734239812*c_1001_5^9 + 1470569821310238485/60097578844734239812*c_1001_5^8 - 20337705661512450783/120195157689468479624*c_1001_5^7 - 134327885175202037409/240390315378936959248*c_1001_5^6 - 88339986225599747563/30048789422367119906*c_1001_5^5 - 41657914104306747583/15024394711183559953*c_1001_5^4 - 13127272047987405743/120195157689468479624*c_1001_5^3 + 338507902100771116875/240390315378936959248*c_1001_5^2 + 42448038765231640969/30048789422367119906*c_1001_5 + 14742636902531530506/15024394711183559953, c_0110_2 + 204881449252590777/240390315378936959248*c_1001_5^10 + 20921553989824697/30048789422367119906*c_1001_5^9 + 676005818113307079/60097578844734239812*c_1001_5^8 - 8202334235880152669/120195157689468479624*c_1001_5^7 - 77952744588851138427/240390315378936959248*c_1001_5^6 - 95528027191186170619/60097578844734239812*c_1001_5^5 - 36595484911622825766/15024394711183559953*c_1001_5^4 - 145427948815826879261/120195157689468479624*c_1001_5^3 + 306143860231765347001/240390315378936959248*c_1001_5^2 + 92608694779114527089/60097578844734239812*c_1001_5 + 24018244855690976689/15024394711183559953, c_1001_11 + 204881449252590777/240390315378936959248*c_1001_5^10 + 20921553989824697/30048789422367119906*c_1001_5^9 + 676005818113307079/60097578844734239812*c_1001_5^8 - 8202334235880152669/120195157689468479624*c_1001_5^7 - 77952744588851138427/240390315378936959248*c_1001_5^6 - 95528027191186170619/60097578844734239812*c_1001_5^5 - 36595484911622825766/15024394711183559953*c_1001_5^4 - 145427948815826879261/120195157689468479624*c_1001_5^3 + 306143860231765347001/240390315378936959248*c_1001_5^2 + 92608694779114527089/60097578844734239812*c_1001_5 + 8993850144507416736/15024394711183559953, c_1001_2 - 204881449252590777/240390315378936959248*c_1001_5^10 - 20921553989824697/30048789422367119906*c_1001_5^9 - 676005818113307079/60097578844734239812*c_1001_5^8 + 8202334235880152669/120195157689468479624*c_1001_5^7 + 77952744588851138427/240390315378936959248*c_1001_5^6 + 95528027191186170619/60097578844734239812*c_1001_5^5 + 36595484911622825766/15024394711183559953*c_1001_5^4 + 145427948815826879261/120195157689468479624*c_1001_5^3 - 306143860231765347001/240390315378936959248*c_1001_5^2 - 92608694779114527089/60097578844734239812*c_1001_5 - 24018244855690976689/15024394711183559953, c_1001_5^11 + 12*c_1001_5^9 - 90*c_1001_5^8 - 323*c_1001_5^7 - 1492*c_1001_5^6 - 1264*c_1001_5^5 + 1622*c_1001_5^4 + 2129*c_1001_5^3 + 188*c_1001_5^2 - 432*c_1001_5 - 704 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB