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EXAMPLE
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The sequence of all set-systems with spanning edge-connectivity 3 together with their BII-numbers begins:
116: {{1,2},{1,3},{2,3},{1,2,3}}
117: {{1},{1,2},{1,3},{2,3},{1,2,3}}
118: {{2},{1,2},{1,3},{2,3},{1,2,3}}
119: {{1},{2},{1,2},{1,3},{2,3},{1,2,3}}
124: {{1,2},{3},{1,3},{2,3},{1,2,3}}
125: {{1},{1,2},{3},{1,3},{2,3},{1,2,3}}
126: {{2},{1,2},{3},{1,3},{2,3},{1,2,3}}
127: {{1},{2},{1,2},{3},{1,3},{2,3},{1,2,3}}
1796: {{1,2},{1,4},{2,4},{1,2,4}}
1797: {{1},{1,2},{1,4},{2,4},{1,2,4}}
1798: {{2},{1,2},{1,4},{2,4},{1,2,4}}
1799: {{1},{2},{1,2},{1,4},{2,4},{1,2,4}}
1904: {{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1905: {{1},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1906: {{2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1907: {{1},{2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1908: {{1,2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1909: {{1},{1,2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1910: {{2},{1,2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
1911: {{1},{2},{1,2},{1,3},{2,3},{1,2,3},{1,4},{2,4},{1,2,4}}
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