This the simplest model where all authors gets the same.

The contribution matrix looks as follows:

EC_matrix = [
[1.0]   #1 author
[0.5, 0.5]  #2 authors
[0.3333, 0.3333, 0.3333] #...
[0.25, 0.25, 0.25, 0.25]
[0.2, 0.2, 0.2, 0.2, 0.2]
[0.1667, 0.1667, 0.1667, 0.1667, 0.1667, 0.1667]
[0.1429, 0.1429, 0.1429, 0.1429, 0.1429, 0.1429, 0.1429]
[0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125]
[0.1111, 0.1111, 0.1111, 0.1111, 0.1111, 0.1111, 0.1111, 0.1111, 0.1111]
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1]
[0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909, 0.0909]
[0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833, 0.0833]
[0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769, 0.0769]
[0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714, 0.0714]
[0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667, 0.0667]
[0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625, 0.0625]
[0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588, 0.0588]
[0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556, 0.0556]
[0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526, 0.0526]
[0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05]
[0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476, 0.0476]
[0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455, 0.0455]
[0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435, 0.0435]
[0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417, 0.0417]
[0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04]
[0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385, 0.0385]
[0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037, 0.037]
[0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357, 0.0357]
[0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345, 0.0345]
[0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333, 0.0333]
[0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323, 0.0323]
[0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312, 0.0312]
[0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303, 0.0303]
[0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294, 0.0294]
[0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286, 0.0286]
[0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278, 0.0278]
[0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027, 0.027]
[0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263, 0.0263]
[0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256, 0.0256]
[0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025, 0.025]
[0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244, 0.0244]
[0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238, 0.0238]
[0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233, 0.0233]
[0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227, 0.0227]
[0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222, 0.0222]
[0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217, 0.0217]
[0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213, 0.0213]
[0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208, 0.0208]
[0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204, 0.0204]
[0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02]
[0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196, 0.0196]
[0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192, 0.0192]
[0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189, 0.0189]
[0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185, 0.0185]
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  #100
  
Enjoy :)