N = 0: Permutations of 0: 0:, even k = 0: (0 choose 0): 1 subset 0: |, even w: 0: 4.4006e-01 v: w(v): 0.440064 wedge j = 0: u: 0: -8.7641e-01 u wedge w: 0: -3.8568e-01 x: u wedge w(x): -0.385677 (u wedge): 0: -8.7641e-01 star w: 0: 4.4006e-01 star star w: 0: 4.4006e-01 N = 1: Permutations of 1: 0: 0, even k = 0: (1 choose 0): 1 subset 0: | 0, even w: 0: -7.1072e-01 v: w(v): -0.710721 wedge j = 0: u: 0: -2.0444e-01 u wedge w: 0: 1.4530e-01 x: u wedge w(x): 0.145303 (u wedge): 0: -2.0444e-01 pullback M = 1: L: 0: -8.5393e-01 L*: 0: 1.0000e+00 L*w: 0: -7.1072e-01 k = 1: (1 choose 1): 1 subset 0: 0 |, even w: 0: -4.9844e-01 v: 0: 9.6810e-01 w(v): -0.482541 wedge j = 0: u: 0: -7.1189e-01 u wedge w: 0: 3.5483e-01 x: 0: 9.9301e-01 u wedge w(x): 0.352354 (u wedge): 0: -7.1189e-01 pullback M = 1: L: 0: -7.8645e-01 L*: 0: -7.8645e-01 L*w: 0: 3.9200e-01 interior product matrix pattern: intV[0,0] = V[0] (w int v_0): 0: -4.8254e-01 (int v_0): 0: 9.6810e-01 star w: 0: -4.9844e-01 star star w: 0: -4.9844e-01 N = 2: Permutations of 2: 0: 0 1, even 1: 1 0, odd k = 0: (2 choose 0): 1 subset 0: | 0 1, even w: 0: -6.3889e-01 v: w(v): -0.638887 wedge j = 0: u: 0: 9.7209e-01 u wedge w: 0: -6.2106e-01 x: u wedge w(x): -0.621056 (u wedge): 0: 9.7209e-01 pullback M = 1: L: 0: 8.3958e-01 1.5564e-01 L*: 0: 1.0000e+00 L*w: 0: -6.3889e-01 pullback M = 2: L: 0: 8.3173e-01 -7.9185e-01 -5.3832e-01 2.1831e-01 L*: 0: 1.0000e+00 L*w: 0: -6.3889e-01 k = 1: (2 choose 1): 2 subset 0: 0 | 1, even subset 1: 1 | 0, odd w: 0: 3.1332e-02 7.4829e-01 v: 0: -6.7041e-01 -1.2642e-01 w(v): -0.115601 wedge j = 0: u: 0: 5.0537e-01 u wedge w: 0: 1.5834e-02 3.7816e-01 x: 0: -1.1516e-01 -5.2579e-02 u wedge w(x): -0.0217066 (u wedge): 0: 5.0537e-01 0.0000e+00 0.0000e+00 5.0537e-01 wedge j = 1: u: 0: -7.4302e-01 9.1177e-01 u wedge w: 0: -5.8456e-01 x: 0: 7.0146e-01 -7.8962e-01 7.3216e-01 2.7505e-01 u wedge w(x): -0.450731 (u wedge): 0: -9.1177e-01 -7.4302e-01 pullback M = 1: L: 0: -4.0927e-01 7.0128e-01 L*: 0: -4.0927e-01 7.0128e-01 L*w: 0: 5.1194e-01 negative pullback M = 1: L: 0: -4.0927e-01 7.0128e-01 L*: 0: 7.0128e-01 4.0927e-01 L*w: 0: 3.2823e-01 pullback M = 2: L: 0: 8.1629e-01 -7.1931e-01 5.4752e-01 -6.4367e-01 L*: 0: 8.1629e-01 5.4752e-01 -7.1931e-01 -6.4367e-01 L*w: 0: 4.3528e-01 -5.0419e-01 negative pullback M = 2: L: 0: 8.1629e-01 -7.1931e-01 5.4752e-01 -6.4367e-01 L*: 0: -6.4367e-01 7.1931e-01 -5.4752e-01 8.1629e-01 L*w: 0: 5.1808e-01 5.9366e-01 interior product matrix pattern: intV[0,0] = V[0] intV[0,1] = V[1] (w int v_0): 0: -1.1560e-01 (int v_0): 0: -6.7041e-01 -1.2642e-01 star w: 0: -7.4829e-01 3.1332e-02 star star w: 0: -3.1332e-02 -7.4829e-01 k = 2: (2 choose 2): 1 subset 0: 0 1 |, even w: 0: 2.9906e-01 v: 0: -8.1483e-01 3.6126e-01 1.4164e-01 3.6475e-01 w(v): -0.104186 wedge j = 0: u: 0: 4.1139e-01 u wedge w: 0: 1.2303e-01 x: 0: 5.7180e-01 8.9367e-01 -3.7286e-01 2.5011e-01 u wedge w(x): 0.0585903 (u wedge): 0: 4.1139e-01 pullback M = 2: L: 0: -7.3847e-01 8.5710e-01 7.6242e-01 -2.7071e-02 L*: 0: -6.3348e-01 L*w: 0: -1.8945e-01 interior product matrix pattern: intV[1,0] = V[0] intV[0,0] = -V[1] (w int v_0): 0: -1.0804e-01 -2.4368e-01 (int v_0): 0: -3.6126e-01 -8.1483e-01 star w: 0: 2.9906e-01 star star w: 0: 2.9906e-01 N = 3: Permutations of 3: 0: 0 1 2, even 1: 0 2 1, odd 2: 1 0 2, odd 3: 1 2 0, even 4: 2 1 0, odd 5: 2 0 1, even k = 0: (3 choose 0): 1 subset 0: | 0 1 2, even w: 0: -7.8527e-01 v: w(v): -0.785273 wedge j = 0: u: 0: -4.1607e-01 u wedge w: 0: 3.2673e-01 x: u wedge w(x): 0.326726 (u wedge): 0: -4.1607e-01 pullback M = 1: L: 0: -1.1162e-02 -5.1602e-01 -5.7893e-02 L*: 0: 1.0000e+00 L*w: 0: -7.8527e-01 pullback M = 2: L: 0: -1.5048e-01 -2.6896e-01 9.3065e-01 -5.1508e-01 3.0863e-01 5: 7.3348e-01 L*: 0: 1.0000e+00 L*w: 0: -7.8527e-01 pullback M = 3: L: 0: 9.4925e-01 -5.3134e-01 -6.2828e-01 -4.4492e-01 6.9910e-01 5: -2.4978e-01 8.0559e-02 -8.9172e-02 1.9506e-01 L*: 0: 1.0000e+00 L*w: 0: -7.8527e-01 k = 1: (3 choose 1): 3 subset 0: 0 | 1 2, even subset 1: 1 | 0 2, odd subset 2: 2 | 0 1, even w: 0: 4.6649e-01 -4.5685e-01 -7.1699e-01 v: 0: 1.5665e-01 -2.1640e-01 7.2654e-01 w(v): -0.348987 wedge j = 0: u: 0: -5.0009e-01 u wedge w: 0: -2.3329e-01 2.2847e-01 3.5856e-01 x: 0: 8.8050e-01 -9.6914e-02 3.4416e-01 u wedge w(x): -0.104147 (u wedge): 0: -5.0009e-01 0.0000e+00 0.0000e+00 0.0000e+00 -5.0009e-01 5: 0.0000e+00 0.0000e+00 0.0000e+00 -5.0009e-01 wedge j = 1: u: 0: 6.2172e-01 -6.2324e-01 -2.7127e-02 u wedge w: 0: 6.7021e-03 -4.3311e-01 4.3447e-01 x: 0: 5.8240e-01 -1.8885e-01 -5.5782e-03 5.1936e-02 -6.0479e-01 5: 8.5265e-01 u wedge w(x): -0.288922 (u wedge): 0: 6.2324e-01 6.2172e-01 0.0000e+00 2.7127e-02 0.0000e+00 5: 6.2172e-01 0.0000e+00 2.7127e-02 -6.2324e-01 pullback M = 1: L: 0: -3.9946e-01 -4.3518e-01 -3.9815e-01 L*: 0: -3.9946e-01 -4.3518e-01 -3.9815e-01 L*w: 0: 2.9794e-01 negative pullback M = 1: L: 0: -3.9946e-01 -4.3518e-01 -3.9815e-01 L*: 0: -3.9815e-01 4.3518e-01 -3.9946e-01 L*w: 0: -9.8141e-02 pullback M = 2: L: 0: -4.6038e-01 -4.4391e-01 -9.6304e-01 -8.8672e-01 3.5819e-01 5: 1.3291e-01 L*: 0: -4.6038e-01 -9.6304e-01 3.5819e-01 -4.4391e-01 -8.8672e-01 5: 1.3291e-01 L*w: 0: -3.1612e-02 1.0272e-01 negative pullback M = 2: L: 0: -4.6038e-01 -4.4391e-01 -9.6304e-01 -8.8672e-01 3.5819e-01 5: 1.3291e-01 L*: 0: 1.3291e-01 8.8672e-01 -4.4391e-01 -3.5819e-01 -9.6304e-01 5: 4.6038e-01 L*w: 0: -2.4815e-02 -5.7210e-02 pullback M = 3: L: 0: 6.4982e-01 1.1086e-01 -9.7880e-02 6.2412e-01 -6.4816e-01 5: 9.4609e-01 -5.9075e-01 6.7407e-01 -7.9853e-01 L*: 0: 6.4982e-01 6.2412e-01 -5.9075e-01 1.1086e-01 -6.4816e-01 5: 6.7407e-01 -9.7880e-02 9.4609e-01 -7.9853e-01 L*w: 0: 4.4157e-01 -1.3547e-01 9.4654e-02 negative pullback M = 3: L: 0: 6.4982e-01 1.1086e-01 -9.7880e-02 6.2412e-01 -6.4816e-01 5: 9.4609e-01 -5.9075e-01 6.7407e-01 -7.9853e-01 L*: 0: -7.9853e-01 -9.4609e-01 -9.7880e-02 -6.7407e-01 -6.4816e-01 5: -1.1086e-01 -5.9075e-01 -6.2412e-01 6.4982e-01 L*w: 0: 1.2990e-01 6.1155e-02 -4.5636e-01 interior product matrix pattern: intV[0,0] = V[0] intV[0,1] = V[1] intV[0,2] = V[2] (w int v_0): 0: -3.4899e-01 (int v_0): 0: 1.5665e-01 -2.1640e-01 7.2654e-01 k = 2: (3 choose 2): 3 subset 0: 0 1 | 2, even subset 1: 0 2 | 1, odd subset 2: 1 2 | 0, even w: 0: -1.8782e-01 7.0744e-01 1.7253e-01 v: 0: 6.5771e-01 5.7049e-01 2.8630e-02 -8.5477e-01 3.3782e-01 5: -2.1430e-01 w(v): -0.238478 wedge j = 0: u: 0: -5.7759e-01 u wedge w: 0: 1.0848e-01 -4.0861e-01 -9.9649e-02 x: 0: -7.1156e-01 3.7126e-01 -4.3078e-01 -3.1688e-01 4.4620e-01 5: 4.2193e-01 u wedge w(x): 0.122009 (u wedge): 0: -5.7759e-01 0.0000e+00 0.0000e+00 0.0000e+00 -5.7759e-01 5: 0.0000e+00 0.0000e+00 0.0000e+00 -5.7759e-01 wedge j = 1: u: 0: 9.1910e-02 8.7977e-01 -5.5295e-02 u wedge w: 0: -5.9614e-01 x: 0: 2.9690e-01 6.6471e-01 5.1740e-01 1.4031e-01 1.7736e-01 5: 8.2148e-01 -9.2988e-01 7.3394e-01 -8.3483e-01 u wedge w(x): 0.306565 (u wedge): 0: -5.5295e-02 -8.7977e-01 9.1910e-02 pullback M = 2: L: 0: 8.8443e-01 4.9797e-01 9.8585e-01 -6.3764e-01 -9.9988e-02 5: -7.0149e-01 L*: 0: -1.0549e+00 -5.7063e-01 -7.5532e-01 L*w: 0: -3.3587e-01 negative pullback M = 2: L: 0: 8.8443e-01 4.9797e-01 9.8585e-01 -6.3764e-01 -9.9988e-02 5: -7.0149e-01 L*: 0: -7.5532e-01 5.7063e-01 -1.0549e+00 L*w: 0: 3.6355e-01 pullback M = 3: L: 0: -9.5909e-01 -1.8504e-01 -7.3579e-01 -5.3436e-01 -1.8697e-01 5: -2.4928e-01 -1.7239e-01 -8.6664e-01 -4.3552e-01 L*: 0: 8.0437e-02 7.9928e-01 4.3086e-01 -1.5409e-01 2.9086e-01 5: 1.8975e-01 -9.1438e-02 -5.5707e-01 -1.3461e-01 L*w: 0: 6.2467e-01 2.6744e-01 -4.0014e-01 negative pullback M = 3: L: 0: -9.5909e-01 -1.8504e-01 -7.3579e-01 -5.3436e-01 -1.8697e-01 5: -2.4928e-01 -1.7239e-01 -8.6664e-01 -4.3552e-01 L*: 0: -1.3461e-01 5.5707e-01 -9.1438e-02 -1.8975e-01 2.9086e-01 5: 1.5409e-01 4.3086e-01 -7.9928e-01 8.0437e-02 L*w: 0: 4.0360e-01 2.6799e-01 -6.3249e-01 interior product matrix pattern: intV[0,0] = -V[1] intV[0,1] = -V[2] intV[1,0] = V[0] intV[1,2] = -V[2] intV[2,1] = V[0] intV[2,2] = V[1] (w int v_0): 0: 8.6894e-02 -1.2847e-01 5.6371e-01 (int v_0): 0: -5.7049e-01 -2.8630e-02 0.0000e+00 6.5771e-01 0.0000e+00 5: -2.8630e-02 0.0000e+00 6.5771e-01 5.7049e-01 star w: 0: 1.7253e-01 -7.0744e-01 -1.8782e-01 star star w: 0: -1.8782e-01 7.0744e-01 1.7253e-01 k = 3: (3 choose 3): 1 subset 0: 0 1 2 |, even w: 0: -5.7996e-01 v: 0: -6.7343e-01 7.7333e-01 4.9289e-01 -6.8617e-01 8.4124e-01 5: -4.3276e-01 7.7254e-01 5.8776e-01 7.8121e-01 w(v): 0.566604 wedge j = 0: u: 0: -5.0080e-01 u wedge w: 0: 2.9044e-01 x: 0: -7.6236e-01 -2.2003e-02 -3.4366e-01 2.4058e-01 -1.7215e-01 5: 2.4512e-01 3.5984e-01 8.2625e-01 -7.1276e-01 u wedge w(x): -0.0100078 (u wedge): 0: -5.0080e-01 pullback M = 3: L: 0: -4.2983e-01 -5.6291e-01 -4.1641e-01 -2.0869e-01 1.9987e-01 5: 4.4418e-01 -9.9065e-01 -1.5900e-01 -2.9704e-01 L*: 0: 1.8149e-01 L*w: 0: -1.0525e-01 interior product matrix pattern: intV[2,0] = V[0] intV[1,0] = -V[1] intV[0,0] = V[2] (w int v_0): 0: -2.8586e-01 4.4850e-01 3.9056e-01 (int v_0): 0: 4.9289e-01 -7.7333e-01 -6.7343e-01 star w: 0: -5.7996e-01 star star w: 0: -5.7996e-01 N = 4: Permutations of 4: 0: 0 1 2 3, even 1: 0 1 3 2, odd 2: 0 2 1 3, odd 3: 0 2 3 1, even 4: 0 3 2 1, odd 5: 0 3 1 2, even 6: 1 0 2 3, odd 7: 1 0 3 2, even 8: 1 2 0 3, even 9: 1 2 3 0, odd 10: 1 3 2 0, even 11: 1 3 0 2, odd 12: 2 1 0 3, odd 13: 2 1 3 0, even 14: 2 0 1 3, even 15: 2 0 3 1, odd 16: 2 3 0 1, even 17: 2 3 1 0, odd 18: 3 1 2 0, odd 19: 3 1 0 2, even 20: 3 2 1 0, even 21: 3 2 0 1, odd 22: 3 0 2 1, even 23: 3 0 1 2, odd k = 0: (4 choose 0): 1 subset 0: | 0 1 2 3, even w: 0: -7.4394e-01 v: w(v): -0.743937 wedge j = 0: u: 0: 3.5896e-01 u wedge w: 0: -2.6704e-01 x: u wedge w(x): -0.267043 (u wedge): 0: 3.5896e-01 pullback M = 1: L: 0: 1.5959e-01 -6.4365e-01 2.5399e-01 2.9917e-01 L*: 0: 1.0000e+00 L*w: 0: -7.4394e-01 pullback M = 2: L: 0: -1.8009e-01 -5.7793e-01 3.3057e-01 -9.7700e-01 5.4455e-01 5: -4.1276e-01 4.3369e-01 6.1429e-02 L*: 0: 1.0000e+00 L*w: 0: -7.4394e-01 pullback M = 3: L: 0: 2.5055e-01 8.6968e-01 7.4232e-01 3.0309e-01 5.9046e-01 5: -2.1829e-01 -5.5160e-01 -6.7168e-01 -4.1558e-01 -1.3479e-01 10: 6.5574e-01 5.6780e-01 L*: 0: 1.0000e+00 L*w: 0: -7.4394e-01 pullback M = 4: L: 0: 8.2121e-01 -2.9750e-01 -5.7062e-01 6.2420e-01 8.2407e-01 5: 5.6269e-01 -3.1815e-01 8.2830e-01 6.0784e-01 -8.7081e-01 10: -5.7205e-01 2.8393e-01 -4.5425e-01 -3.5681e-01 8.2933e-01 15: 2.4311e-01 L*: 0: 1.0000e+00 L*w: 0: -7.4394e-01 k = 1: (4 choose 1): 4 subset 0: 0 | 1 2 3, even subset 1: 1 | 0 2 3, odd subset 2: 2 | 0 1 3, even subset 3: 3 | 0 1 2, odd w: 0: 2.6369e-01 -3.5748e-01 -2.8349e-01 2.2739e-01 v: 0: 8.8206e-01 -7.8617e-01 -9.1753e-01 4.5956e-01 w(v): 0.878243 wedge j = 0: u: 0: 7.4388e-01 u wedge w: 0: 1.9615e-01 -2.6592e-01 -2.1089e-01 1.6915e-01 x: 0: -9.6728e-01 1.3094e-01 8.2809e-01 8.9815e-01 u wedge w(x): -0.247262 (u wedge): 0: 7.4388e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 5: 7.4388e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 10: 7.4388e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 15: 7.4388e-01 wedge j = 1: u: 0: -2.6993e-01 -2.0090e-01 -3.1502e-02 7.2239e-02 u wedge w: 0: 1.4947e-01 8.4831e-02 -8.0429e-02 4.5693e-02 -1.9860e-02 5: 1.3316e-02 x: 0: -3.7522e-01 1.0796e-01 -3.3212e-01 6.8021e-01 9.6693e-01 5: -6.5846e-02 4.8128e-01 4.0758e-01 u wedge w(x): 0.0586624 (u wedge): 0: 2.0090e-01 -2.6993e-01 0.0000e+00 0.0000e+00 3.1502e-02 5: 0.0000e+00 -2.6993e-01 0.0000e+00 -7.2239e-02 0.0000e+00 10: 0.0000e+00 -2.6993e-01 0.0000e+00 3.1502e-02 -2.0090e-01 15: 0.0000e+00 0.0000e+00 -7.2239e-02 0.0000e+00 -2.0090e-01 20: 0.0000e+00 0.0000e+00 -7.2239e-02 -3.1502e-02 pullback M = 1: L: 0: 7.8673e-01 8.7400e-01 5.0507e-01 5.8168e-01 L*: 0: 7.8673e-01 8.7400e-01 5.0507e-01 5.8168e-01 L*w: 0: -1.1590e-01 negative pullback M = 1: L: 0: 7.8673e-01 8.7400e-01 5.0507e-01 5.8168e-01 L*: 0: 5.8168e-01 -5.0507e-01 8.7400e-01 -7.8673e-01 L*w: 0: -9.2737e-02 pullback M = 2: L: 0: -9.5632e-01 8.7212e-01 -6.3417e-01 5.7161e-01 -8.5299e-01 5: -4.6585e-02 -1.2355e-01 -7.6224e-01 L*: 0: -9.5632e-01 -6.3417e-01 -8.5299e-01 -1.2355e-01 8.7212e-01 5: 5.7161e-01 -4.6585e-02 -7.6224e-01 L*w: 0: 1.8826e-01 -1.3449e-01 negative pullback M = 2: L: 0: -9.5632e-01 8.7212e-01 -6.3417e-01 5.7161e-01 -8.5299e-01 5: -4.6585e-02 -1.2355e-01 -7.6224e-01 L*: 0: -7.6224e-01 4.6585e-02 5.7161e-01 -8.7212e-01 1.2355e-01 5: -8.5299e-01 6.3417e-01 -9.5632e-01 L*w: 0: -5.7801e-01 -5.9742e-02 pullback M = 3: L: 0: 1.7964e-02 -1.3200e-01 -8.4531e-01 9.1974e-01 4.6205e-01 5: -3.0878e-01 -9.2426e-01 -2.3007e-01 -4.3335e-01 -7.2587e-01 10: 5.4066e-02 5.9836e-01 L*: 0: 1.7964e-02 9.1974e-01 -9.2426e-01 -7.2587e-01 -1.3200e-01 5: 4.6205e-01 -2.3007e-01 5.4066e-02 -8.4531e-01 -3.0878e-01 10: -4.3335e-01 5.9836e-01 L*w: 0: -2.2709e-01 -1.2246e-01 1.4640e-01 negative pullback M = 3: L: 0: 1.7964e-02 -1.3200e-01 -8.4531e-01 9.1974e-01 4.6205e-01 5: -3.0878e-01 -9.2426e-01 -2.3007e-01 -4.3335e-01 -7.2587e-01 10: 5.4066e-02 5.9836e-01 L*: 0: 5.9836e-01 4.3335e-01 -3.0878e-01 8.4531e-01 -5.4066e-02 5: -2.3007e-01 -4.6205e-01 -1.3200e-01 -7.2587e-01 9.2426e-01 10: 9.1974e-01 -1.7964e-02 L*w: 0: 2.8262e-01 1.6896e-01 -7.8663e-01 pullback M = 4: L: 0: 6.3375e-01 -3.0028e-02 9.4808e-01 6.3855e-02 -5.1181e-02 5: 7.3297e-01 -9.2044e-01 -2.6976e-01 3.4461e-01 -1.2073e-01 10: 7.5831e-01 -7.9239e-01 6.9351e-01 9.7345e-01 -6.8279e-01 15: -1.2872e-02 L*: 0: 6.3375e-01 -5.1181e-02 3.4461e-01 6.9351e-01 -3.0028e-02 5: 7.3297e-01 -1.2073e-01 9.7345e-01 9.4808e-01 -9.2044e-01 10: 7.5831e-01 -6.8279e-01 6.3855e-02 -2.6976e-01 -7.9239e-01 15: -1.2872e-02 L*w: 0: 2.4541e-01 -1.4359e-02 2.0880e-01 3.3498e-01 negative pullback M = 4: L: 0: 6.3375e-01 -3.0028e-02 9.4808e-01 6.3855e-02 -5.1181e-02 5: 7.3297e-01 -9.2044e-01 -2.6976e-01 3.4461e-01 -1.2073e-01 10: 7.5831e-01 -7.9239e-01 6.9351e-01 9.7345e-01 -6.8279e-01 15: -1.2872e-02 L*: 0: -1.2872e-02 7.9239e-01 -2.6976e-01 -6.3855e-02 6.8279e-01 5: 7.5831e-01 9.2044e-01 9.4808e-01 9.7345e-01 1.2073e-01 10: 7.3297e-01 3.0028e-02 -6.9351e-01 3.4461e-01 5.1181e-02 15: 6.3375e-01 L*w: 0: -2.2470e-01 -1.3639e-01 1.2560e-02 -1.7646e-01 interior product matrix pattern: intV[0,0] = V[0] intV[0,1] = V[1] intV[0,2] = V[2] intV[0,3] = V[3] (w int v_0): 0: 8.7824e-01 (int v_0): 0: 8.8206e-01 -7.8617e-01 -9.1753e-01 4.5956e-01 k = 2: (4 choose 2): 6 subset 0: 0 1 | 2 3, even subset 1: 0 2 | 1 3, odd subset 2: 0 3 | 1 2, even subset 3: 1 2 | 0 3, even subset 4: 1 3 | 0 2, odd subset 5: 2 3 | 0 1, even w: 0: 9.4113e-01 1.5232e-01 -5.0107e-01 -2.3200e-01 4.8558e-02 5: 5.2142e-01 v: 0: -8.9591e-01 8.4061e-01 -2.2518e-01 3.4966e-02 1.6809e-01 5: 8.1800e-01 9.0384e-01 8.7769e-01 w(v): -0.847405 wedge j = 0: u: 0: 4.7703e-01 u wedge w: 0: 4.4895e-01 7.2659e-02 -2.3903e-01 -1.1067e-01 2.3164e-02 5: 2.4873e-01 x: 0: 2.0731e-01 -9.8742e-01 -7.1849e-01 9.6120e-01 -4.7646e-01 5: 6.4692e-01 -8.0816e-01 7.0296e-01 u wedge w(x): -0.435001 (u wedge): 0: 4.7703e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 5: 0.0000e+00 0.0000e+00 4.7703e-01 0.0000e+00 0.0000e+00 10: 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 4.7703e-01 15: 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 20: 0.0000e+00 4.7703e-01 0.0000e+00 0.0000e+00 0.0000e+00 25: 0.0000e+00 0.0000e+00 0.0000e+00 4.7703e-01 0.0000e+00 30: 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 35: 4.7703e-01 wedge j = 1: u: 0: 2.9008e-01 1.5075e-01 -9.5663e-01 -6.9372e-01 u wedge w: 0: -9.9057e-01 -5.6326e-01 -4.3375e-01 2.8600e-01 x: 0: 8.7614e-02 -5.5981e-01 4.1114e-01 9.1749e-01 -3.7016e-01 5: -4.9479e-01 -3.4250e-01 2.8268e-01 -1.8432e-01 4.4155e-01 10: 5.9688e-01 -7.4634e-01 u wedge w(x): 0.377565 (u wedge): 0: -9.5663e-01 -1.5075e-01 0.0000e+00 2.9008e-01 0.0000e+00 5: 0.0000e+00 -6.9372e-01 0.0000e+00 -1.5075e-01 0.0000e+00 10: 2.9008e-01 0.0000e+00 0.0000e+00 -6.9372e-01 9.5663e-01 15: 0.0000e+00 0.0000e+00 2.9008e-01 0.0000e+00 0.0000e+00 20: 0.0000e+00 -6.9372e-01 9.5663e-01 1.5075e-01 wedge j = 2: u: 0: -8.6722e-01 -3.8501e-01 8.8852e-01 9.5774e-02 -6.6658e-01 5: 1.6054e-02 u wedge w: 0: -5.7097e-01 x: 0: -8.4414e-01 -7.0774e-01 8.9762e-03 3.6565e-01 3.9703e-01 5: -6.7742e-01 -9.5197e-02 -5.9403e-01 -7.3056e-01 -7.3361e-01 10: 9.3656e-01 8.4796e-01 5.2428e-01 -8.9313e-01 6.5618e-02 15: 5.9341e-01 u wedge w(x): -0.576003 (u wedge): 0: 1.6054e-02 6.6658e-01 9.5774e-02 8.8852e-01 3.8501e-01 5: -8.6722e-01 pullback M = 2: L: 0: 4.8556e-01 7.4037e-01 9.1990e-01 7.0991e-01 -2.0408e-01 5: -6.8744e-01 5.4403e-01 9.7044e-01 L*: 0: -3.3637e-01 -1.8270e-01 6.8416e-02 -4.8750e-01 5.0649e-01 5: 1.7594e-01 L*w: 0: -1.4924e-01 negative pullback M = 2: L: 0: 4.8556e-01 7.4037e-01 9.1990e-01 7.0991e-01 -2.0408e-01 5: -6.8744e-01 5.4403e-01 9.7044e-01 L*: 0: 1.7594e-01 -5.0649e-01 -4.8750e-01 6.8416e-02 1.8270e-01 5: -3.3637e-01 L*w: 0: 1.5032e-01 pullback M = 3: L: 0: -8.7798e-01 -5.1988e-01 -3.0551e-01 -4.5998e-01 9.3861e-01 5: 6.2693e-01 -8.3359e-01 3.3612e-01 6.0071e-02 -1.8260e-01 10: 4.9155e-01 -8.7632e-01 L*: 0: -1.0632e+00 -7.2847e-01 -5.2650e-01 6.2781e-01 -5.4709e-02 5: -3.4837e-01 -6.9096e-01 -3.0741e-01 7.1360e-01 4.9497e-01 10: 5.1756e-01 7.4146e-01 -3.9168e-02 7.1459e-02 6.0575e-01 15: -1.5434e-01 -1.1307e+00 -3.2407e-01 L*w: 0: -1.1777e+00 -7.5776e-01 -5.1758e-01 negative pullback M = 3: L: 0: -8.7798e-01 -5.1988e-01 -3.0551e-01 -4.5998e-01 9.3861e-01 5: 6.2693e-01 -8.3359e-01 3.3612e-01 6.0071e-02 -1.8260e-01 10: 4.9155e-01 -8.7632e-01 L*: 0: -3.2407e-01 1.1307e+00 -1.5434e-01 6.0575e-01 -7.1459e-02 5: -3.9168e-02 -7.4146e-01 5.1756e-01 -4.9497e-01 -7.1360e-01 10: -3.0741e-01 6.9096e-01 -3.4837e-01 5.4709e-02 6.2781e-01 15: -5.2650e-01 7.2847e-01 -1.0632e+00 L*w: 0: -2.1987e-01 1.3994e-01 -1.0310e+00 pullback M = 4: L: 0: -9.4566e-01 -7.0382e-01 2.1323e-02 6.7554e-01 4.0173e-01 5: -8.0673e-01 4.6571e-01 1.5665e-01 -2.9256e-01 9.9166e-01 10: -2.7217e-01 1.8503e-01 3.9038e-01 4.6708e-01 -4.1968e-02 15: -9.6358e-01 L*: 0: 1.0456e+00 -1.1437e+00 -1.6694e-01 1.6236e-01 5.0257e-01 5: -5.2377e-01 -4.4897e-01 2.6362e-01 3.1363e-02 2.6909e-02 10: -1.9867e-01 1.1853e-01 -4.1952e-01 2.2659e-02 6.4750e-01 15: 1.2016e-01 -4.4825e-01 2.0967e-01 -3.1058e-01 1.7041e-01 20: 1.9578e-02 -2.4226e-01 -1.8367e-01 8.5507e-02 4.3473e-01 25: -8.0013e-01 3.6265e-01 -3.0461e-01 7.0418e-01 -1.0420e+00 30: -3.1127e-01 1.8781e-01 7.8048e-03 1.2880e-01 -4.4218e-01 35: 2.7002e-01 L*w: 0: 6.0717e-01 -3.5219e-01 -6.5613e-01 -1.8428e-01 -3.3288e-01 5: -1.7881e-01 negative pullback M = 4: L: 0: -9.4566e-01 -7.0382e-01 2.1323e-02 6.7554e-01 4.0173e-01 5: -8.0673e-01 4.6571e-01 1.5665e-01 -2.9256e-01 9.9166e-01 10: -2.7217e-01 1.8503e-01 3.9038e-01 4.6708e-01 -4.1968e-02 15: -9.6358e-01 L*: 0: 2.7002e-01 4.4218e-01 1.2880e-01 7.8048e-03 -1.8781e-01 5: -3.1127e-01 1.0420e+00 7.0418e-01 3.0461e-01 -3.6265e-01 10: -8.0013e-01 -4.3473e-01 8.5507e-02 1.8367e-01 -2.4226e-01 15: 1.9578e-02 -1.7041e-01 -3.1058e-01 2.0967e-01 4.4825e-01 20: 1.2016e-01 6.4750e-01 -2.2659e-02 -4.1952e-01 -1.1853e-01 25: -1.9867e-01 -2.6909e-02 -3.1363e-02 2.6362e-01 4.4897e-01 30: -5.2377e-01 -5.0257e-01 1.6236e-01 -1.6694e-01 1.1437e+00 35: 1.0456e+00 L*w: 0: 8.3704e-02 7.5386e-01 5.5081e-02 -1.6467e-01 1.2585e-01 5: -1.1361e-02 interior product matrix pattern: intV[1,0] = V[0] intV[0,0] = -V[1] intV[2,1] = V[0] intV[0,1] = -V[2] intV[3,2] = V[0] intV[0,2] = -V[3] intV[2,3] = V[1] intV[1,3] = -V[2] intV[3,4] = V[1] intV[1,4] = -V[3] intV[3,5] = V[2] intV[2,5] = -V[3] (w int v_0): 0: -7.3931e-01 -8.9711e-01 -3.4971e-01 3.7232e-01 (int v_0): 0: -8.4061e-01 2.2518e-01 -3.4966e-02 0.0000e+00 0.0000e+00 5: 0.0000e+00 -8.9591e-01 0.0000e+00 0.0000e+00 2.2518e-01 10: -3.4966e-02 0.0000e+00 0.0000e+00 -8.9591e-01 0.0000e+00 15: 8.4061e-01 0.0000e+00 -3.4966e-02 0.0000e+00 0.0000e+00 20: -8.9591e-01 0.0000e+00 8.4061e-01 -2.2518e-01 star w: 0: 5.2142e-01 -4.8558e-02 -2.3200e-01 -5.0107e-01 -1.5232e-01 5: 9.4113e-01 star star w: 0: 9.4113e-01 1.5232e-01 -5.0107e-01 -2.3200e-01 4.8558e-02 5: 5.2142e-01 k = 3: (4 choose 3): 4 subset 0: 0 1 2 | 3, even subset 1: 0 1 3 | 2, odd subset 2: 0 2 3 | 1, even subset 3: 1 2 3 | 0, odd w: 0: -3.7517e-01 6.1766e-01 9.8353e-01 -1.2600e-01 v: 0: -2.5691e-01 -2.8870e-01 1.0936e-02 -3.8726e-01 8.4560e-01 5: -6.7717e-01 -9.7375e-01 -5.5894e-01 -2.5643e-01 8.0538e-01 10: -2.0257e-01 -5.4053e-01 w(v): -0.102079 wedge j = 0: u: 0: 8.5022e-01 u wedge w: 0: -3.1898e-01 5.2515e-01 8.3622e-01 -1.0713e-01 x: 0: -8.0037e-01 4.5905e-01 -1.5464e-01 6.7704e-01 -8.6982e-01 5: -9.9576e-01 7.5080e-01 -9.6707e-01 -5.1927e-01 6.8438e-01 10: -1.5516e-01 -6.6693e-01 u wedge w(x): -0.26249 (u wedge): 0: 8.5022e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 5: 8.5022e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 10: 8.5022e-01 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 15: 8.5022e-01 wedge j = 1: u: 0: -5.3738e-01 -3.2322e-01 4.7929e-01 1.4265e-01 u wedge w: 0: 7.3516e-01 x: 0: 8.3074e-01 4.8066e-03 -2.4025e-01 -7.5128e-01 1.7846e-01 5: -4.2150e-01 6.3963e-01 4.8965e-01 4.3057e-01 -3.0549e-01 10: 2.0139e-01 -4.2717e-01 -2.1362e-01 2.2242e-01 7.8195e-02 15: -4.3793e-01 u wedge w(x): -0.0636979 (u wedge): 0: -1.4265e-01 4.7929e-01 3.2322e-01 -5.3738e-01 pullback M = 3: L: 0: 1.8703e-01 9.8369e-01 5.9181e-02 -2.3898e-01 7.2997e-01 5: -6.2029e-01 -1.9544e-01 -4.0435e-01 -9.1224e-01 9.6188e-01 10: -9.5261e-01 -6.7639e-01 L*: 0: -2.5250e-01 -9.7686e-01 -1.0705e+00 -9.5144e-01 L*w: 0: -1.4417e+00 negative pullback M = 3: L: 0: 1.8703e-01 9.8369e-01 5.9181e-02 -2.3898e-01 7.2997e-01 5: -6.2029e-01 -1.9544e-01 -4.0435e-01 -9.1224e-01 9.6188e-01 10: -9.5261e-01 -6.7639e-01 L*: 0: -9.5144e-01 1.0705e+00 -9.7686e-01 2.5250e-01 L*w: 0: 2.5598e-02 pullback M = 4: L: 0: -4.9748e-01 -3.0328e-01 -8.7441e-01 -5.8880e-01 -9.1914e-01 5: -2.2123e-01 -4.3706e-01 3.3706e-01 4.1845e-01 7.4420e-01 10: -1.5180e-01 -3.5261e-01 -3.7428e-01 -8.5541e-01 -6.4351e-01 15: 8.8954e-02 L*: 0: 4.3644e-01 -3.7015e-01 2.7337e-01 5.2209e-01 4.8975e-01 5: -5.3437e-01 1.3514e-01 1.6866e-01 -1.3189e-01 -3.0169e-01 10: 2.2875e-01 6.9647e-02 -4.2467e-01 3.1722e-01 2.2549e-01 15: -2.5489e-01 L*w: 0: -1.8928e-01 -4.0214e-01 7.9348e-02 6.0915e-01 negative pullback M = 4: L: 0: -4.9748e-01 -3.0328e-01 -8.7441e-01 -5.8880e-01 -9.1914e-01 5: -2.2123e-01 -4.3706e-01 3.3706e-01 4.1845e-01 7.4420e-01 10: -1.5180e-01 -3.5261e-01 -3.7428e-01 -8.5541e-01 -6.4351e-01 15: 8.8954e-02 L*: 0: -2.5489e-01 -2.2549e-01 3.1722e-01 4.2467e-01 -6.9647e-02 5: 2.2875e-01 3.0169e-01 -1.3189e-01 1.6866e-01 -1.3514e-01 10: -5.3437e-01 -4.8975e-01 -5.2209e-01 2.7337e-01 3.7015e-01 15: 4.3644e-01 L*w: 0: 2.1484e-01 4.8076e-01 -6.1060e-01 6.7379e-01 interior product matrix pattern: intV[3,0] = V[0] intV[1,0] = -V[1] intV[0,0] = V[2] intV[4,1] = V[0] intV[2,1] = -V[1] intV[0,1] = V[3] intV[5,2] = V[0] intV[2,2] = -V[2] intV[1,2] = V[3] intV[5,3] = V[1] intV[4,3] = -V[2] intV[3,3] = V[3] (w int v_0): 0: -2.4330e-01 -4.8919e-01 1.6756e-01 1.4518e-01 -1.5730e-01 5: -2.1630e-01 (int v_0): 0: 1.0936e-02 -3.8726e-01 0.0000e+00 0.0000e+00 2.8870e-01 5: 0.0000e+00 -3.8726e-01 0.0000e+00 0.0000e+00 2.8870e-01 10: -1.0936e-02 0.0000e+00 -2.5691e-01 0.0000e+00 0.0000e+00 15: -3.8726e-01 0.0000e+00 -2.5691e-01 0.0000e+00 -1.0936e-02 20: 0.0000e+00 0.0000e+00 -2.5691e-01 -2.8870e-01 star w: 0: 1.2600e-01 9.8353e-01 -6.1766e-01 -3.7517e-01 star star w: 0: 3.7517e-01 -6.1766e-01 -9.8353e-01 1.2600e-01 k = 4: (4 choose 4): 1 subset 0: 0 1 2 3 |, even w: 0: -2.5480e-01 v: 0: 1.0979e-01 -5.6223e-01 -6.8199e-02 6.1742e-02 -6.2533e-01 5: -1.5664e-01 -3.9865e-01 -2.5882e-01 8.7131e-01 2.7764e-01 10: 2.1143e-01 -8.8580e-01 9.5433e-01 2.6095e-02 3.9046e-01 15: -7.6788e-01 w(v): 0.0196566 wedge j = 0: u: 0: 7.6849e-01 u wedge w: 0: -1.9581e-01 x: 0: -5.1168e-01 -2.8257e-01 -5.0308e-01 -4.1424e-01 -7.8720e-01 5: -8.0635e-01 8.3809e-01 -6.9425e-01 -5.4188e-01 4.1450e-02 10: -2.7054e-01 9.3937e-01 -8.3739e-01 3.8953e-01 6.9703e-01 15: 6.5400e-01 u wedge w(x): 0.179666 (u wedge): 0: 7.6849e-01 pullback M = 4: L: 0: 6.0675e-01 4.7193e-01 -5.4014e-01 2.2124e-02 1.5380e-01 5: -2.6649e-01 4.5758e-01 2.9025e-02 6.1407e-01 -6.9521e-01 10: -9.8726e-01 -3.4833e-01 -8.2794e-01 -3.3814e-01 -3.8553e-01 15: 6.5902e-01 L*: 0: 4.3994e-01 L*w: 0: -1.1210e-01 interior product matrix pattern: intV[3,0] = V[0] intV[2,0] = -V[1] intV[1,0] = V[2] intV[0,0] = -V[3] (w int v_0): 0: 1.5732e-02 1.7377e-02 -1.4326e-01 -2.7975e-02 (int v_0): 0: -6.1742e-02 -6.8199e-02 5.6223e-01 1.0979e-01 star w: 0: -2.5480e-01 star star w: 0: -2.5480e-01