bifInfo.txt For each stabilizer write: stab, numBifComponents where stab = label of stabilizer, and numBifComponents does not include fixed point space. For each isotypic component with bifurcations write: dim E, numMaximals, where E = any irredcible subspace of stabilizer action e.g. E = eigenspace of Hessian For each maximal write: maximal, sizeD, dimMaximalE, dimMaximalRed followed by a basis for MaximalRed where maximal is the label of the daughter stabilizer, D = (Normalizer in stabilizer of maximal) mod maximal, dimMaximalE = dim(Fix(maximal) intersect E), MaximalRed = Fix(maximal) intersect base isotypic component stab numBifComponents ******************************* new stabilizer: # 0 0 3 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 1 2 1 1 1. 0 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 2 2 1 1 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 2 2 2 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 4 2 1 1 0 0 1. 0 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 1 6 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 1 1 2 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 7 2 1 1 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 2 2 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 9 2 1 1 0 0 0 1. maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 1 14 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 2 2 2 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 7 2 1 1 1. 0 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 2 2 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 11 2 1 1 0 0 1. 0 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 1 14 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 3 3 3 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 12 2 1 1 0 0 1. 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 10 2 1 1 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 2 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 9 2 1 1 1. 0 0 0 stab numBifComponents ******************************* new stabilizer: # 4 4 3 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 12 2 1 1 0 0 0 1. dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 11 2 1 1 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 2 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 8 2 1 1 1. 0 0 0 stab numBifComponents ******************************* new stabilizer: # 5 5 2 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 13 2 1 2 1. 0 0 0 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 12 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 6 6 2 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 14 2 1 2 1. 0 0 0 0 1. 0 0 dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 12 2 1 1 0 0 0.7071067811865472 -0.7071067811865477 stab numBifComponents ******************************* new stabilizer: # 7 7 2 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 13 2 1 1 0 0 0.7071067811865472 -0.7071067811865477 dim E, numArrows of Bif Component --------------- new bif component: # 1 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 14 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 8 8 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 2 0 1. 0 0 0 0 0 1. stab numBifComponents ******************************* new stabilizer: # 9 9 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 2 0 1. 0 0 0 0 1. 0 stab numBifComponents ******************************* new stabilizer: # 10 10 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 2 1. 0 0 0 0 0 1. 0 stab numBifComponents ******************************* new stabilizer: # 11 11 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 2 1. 0 0 0 0 0 0 1. stab numBifComponents ******************************* new stabilizer: # 12 12 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 2 1. 0 0 0 0 1. 0 0 stab numBifComponents ******************************* new stabilizer: # 13 13 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 1 0 0 0.7071067811865478 0.7071067811865474 stab numBifComponents ******************************* new stabilizer: # 14 14 1 dim E, numArrows of Bif Component --------------- new bif component: # 0 1 1 maximal sizeD dimMaximalE dimMaximalRed ............... new Arrow: # 0 15 2 1 1 0 0 0.7071067811865472 -0.7071067811865477 stab numBifComponents ******************************* new stabilizer: # 15 15 0