// psi-number_intersections.h
// Copyright (C) 2023 Mark Bowron

// Psi-numbers of intersections.

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

static const int psi_number_intersections[71][71] = {
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1},
{0,1,2,1,1,2,2,1,1,1,1,2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{0,1,1,3,1,3,1,1,3,1,1,1,3,1,1,1,1,3,1,3,1,1,3,1,1,1,1,1,3,1,3,1,1,3,1,1,3,3,3,1,3,1,1,3,3,3,3,3,3,1,1,1,1,3,3,3,3,1,3,3,3,3,1,1,3,3,3,3,3,3,3},
{0,1,1,1,4,4,1,1,1,1,4,1,4,1,1,4,1,1,1,4,1,4,1,1,1,1,1,1,1,4,4,1,4,1,4,4,1,1,4,1,4,4,4,1,1,4,4,4,4,1,1,1,1,4,4,4,4,1,4,4,4,4,1,1,4,4,4,4,4,4,4},
{0,1,2,3,4,5,2,1,3,1,4,2,5,2,1,4,1,3,2,5,2,4,3,1,1,1,2,1,3,4,5,2,4,3,4,4,3,3,5,2,5,4,4,3,3,5,5,5,5,2,2,2,2,5,5,5,5,2,5,5,5,5,2,2,5,5,5,5,5,5,5},
{0,1,2,1,1,2,6,1,1,1,1,2,2,6,1,1,1,1,2,2,6,1,1,1,1,1,2,1,1,1,2,6,1,1,1,1,1,1,6,6,6,1,1,1,1,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6},
{0,1,1,1,1,1,1,7,7,7,7,7,7,7,1,1,1,1,1,1,1,1,1,7,7,7,7,7,7,7,7,7,1,7,7,7,1,1,1,1,1,7,7,7,7,7,7,1,1,7,1,7,1,7,7,1,1,7,7,7,7,7,7,7,7,7,1,1,7,7,7},
{0,1,1,3,1,3,1,7,8,7,7,7,8,7,1,1,1,3,1,3,1,1,3,7,7,7,7,7,8,7,8,7,1,8,7,7,3,3,3,1,3,7,7,8,8,8,8,3,3,7,1,7,1,8,8,3,3,7,8,8,8,8,7,7,8,8,3,3,8,8,8},
{0,1,1,1,1,1,1,7,7,9,9,9,9,9,1,1,1,1,1,1,1,1,1,7,7,9,9,7,7,9,9,9,1,7,9,9,1,1,1,1,1,9,9,7,7,9,9,1,1,9,1,9,1,9,9,1,1,9,9,9,9,9,9,9,9,9,1,1,9,9,9},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,1,4,1,1,1,4,1,4,1,7,7,9,9,7,7,10,10,9,4,7,10,10,1,1,4,1,4,10,10,7,7,10,10,4,4,9,1,9,1,10,10,4,4,9,10,10,10,10,9,9,10,10,4,4,10,10,10},
{0,1,2,1,1,2,2,7,7,9,9,11,11,11,1,1,1,1,2,2,2,1,1,7,7,9,11,7,7,9,11,11,1,7,9,9,1,1,2,2,2,9,9,7,7,11,11,2,2,11,2,11,2,11,11,2,2,11,11,11,11,11,11,11,11,11,2,2,11,11,11},
{0,1,2,3,4,5,2,7,8,9,10,11,12,11,1,4,1,3,2,5,2,4,3,7,7,9,11,7,8,10,12,11,4,8,10,10,3,3,5,2,5,10,10,8,8,12,12,5,5,11,2,11,2,12,12,5,5,11,12,12,12,12,11,11,12,12,5,5,12,12,12},
{0,1,2,1,1,2,6,7,7,9,9,11,11,13,1,1,1,1,2,2,6,1,1,7,7,9,11,7,7,9,11,13,1,7,9,9,1,1,6,6,6,9,9,7,7,13,13,6,6,13,6,13,6,13,13,6,6,13,13,13,13,13,13,13,13,13,6,6,13,13,13},
{0,1,1,1,1,1,1,1,1,1,1,1,1,1,14,14,14,14,14,14,14,1,1,14,14,14,14,14,14,14,14,14,14,1,1,1,14,14,1,1,1,14,14,14,14,1,1,14,14,1,14,1,14,1,1,14,14,14,14,14,14,14,14,14,1,1,14,14,14,14,14},
{0,1,1,1,4,4,1,1,1,1,4,1,4,1,14,15,14,14,14,15,14,4,1,14,14,14,14,14,14,15,15,14,15,1,4,4,14,14,4,1,4,15,15,14,14,4,4,15,15,1,14,1,14,4,4,15,15,14,15,15,15,15,14,14,4,4,15,15,15,15,15},
{0,1,1,1,1,1,1,1,1,1,1,1,1,1,14,14,16,16,16,16,16,1,1,14,16,14,16,14,16,14,16,16,14,1,1,1,16,16,1,1,1,14,14,16,16,1,1,16,16,1,16,1,16,1,1,16,16,16,16,16,16,16,16,16,1,1,16,16,16,16,16},
{0,1,1,3,1,3,1,1,3,1,1,1,3,1,14,14,16,17,16,17,16,1,3,14,16,14,16,14,17,14,17,16,14,3,1,1,17,17,3,1,3,14,14,17,17,3,3,17,17,1,16,1,16,3,3,17,17,16,17,17,17,17,16,16,3,3,17,17,17,17,17},
{0,1,2,1,1,2,2,1,1,1,1,2,2,2,14,14,16,16,18,18,18,1,1,14,16,14,18,14,16,14,18,18,14,1,1,1,16,16,2,2,2,14,14,16,16,2,2,18,18,2,18,2,18,2,2,18,18,18,18,18,18,18,18,18,2,2,18,18,18,18,18},
{0,1,2,3,4,5,2,1,3,1,4,2,5,2,14,15,16,17,18,19,18,4,3,14,16,14,18,14,17,15,19,18,15,3,4,4,17,17,5,2,5,15,15,17,17,5,5,19,19,2,18,2,18,5,5,19,19,18,19,19,19,19,18,18,5,5,19,19,19,19,19},
{0,1,2,1,1,2,6,1,1,1,1,2,2,6,14,14,16,16,18,18,20,1,1,14,16,14,18,14,16,14,18,20,14,1,1,1,16,16,6,6,6,14,14,16,16,6,6,20,20,6,20,6,20,6,6,20,20,20,20,20,20,20,20,20,6,6,20,20,20,20,20},
{0,1,1,1,4,4,1,1,1,1,4,1,4,1,1,4,1,1,1,4,1,21,1,1,1,1,1,1,1,4,4,1,21,1,21,21,1,1,21,1,21,21,21,1,1,21,21,21,21,1,1,1,1,21,21,21,21,1,21,21,21,21,1,1,21,21,21,21,21,21,21},
{0,1,1,3,1,3,1,1,3,1,1,1,3,1,1,1,1,3,1,3,1,1,22,1,1,1,1,1,3,1,3,1,1,22,1,1,22,22,22,1,22,1,1,22,22,22,22,22,22,1,1,1,1,22,22,22,22,1,22,22,22,22,1,1,22,22,22,22,22,22,22},
{0,1,1,1,1,1,1,7,7,7,7,7,7,7,14,14,14,14,14,14,14,1,1,23,23,23,23,23,23,23,23,23,14,7,7,7,14,14,1,1,1,23,23,23,23,7,7,14,14,7,14,7,14,7,7,14,14,23,23,23,23,23,23,23,7,7,14,14,23,23,23},
{0,1,1,1,1,1,1,7,7,7,7,7,7,7,14,14,16,16,16,16,16,1,1,23,24,23,24,23,24,23,24,24,14,7,7,7,16,16,1,1,1,23,23,24,24,7,7,16,16,7,16,7,16,7,7,16,16,24,24,24,24,24,24,24,7,7,16,16,24,24,24},
{0,1,1,1,1,1,1,7,7,9,9,9,9,9,14,14,14,14,14,14,14,1,1,23,23,25,25,23,23,25,25,25,14,7,9,9,14,14,1,1,1,25,25,23,23,9,9,14,14,9,14,9,14,9,9,14,14,25,25,25,25,25,25,25,9,9,14,14,25,25,25},
{0,1,2,1,1,2,2,7,7,9,9,11,11,11,14,14,16,16,18,18,18,1,1,23,24,25,26,23,24,25,26,26,14,7,9,9,16,16,2,2,2,25,25,24,24,11,11,18,18,11,18,11,18,11,11,18,18,26,26,26,26,26,26,26,11,11,18,18,26,26,26},
{0,1,1,1,1,1,1,7,7,7,7,7,7,7,14,14,14,14,14,14,14,1,1,23,23,23,23,27,27,27,27,23,14,7,7,7,14,14,1,1,1,27,27,27,27,7,7,14,14,7,14,7,14,7,7,14,14,23,27,27,27,27,23,23,7,7,14,14,27,27,27},
{0,1,1,3,1,3,1,7,8,7,7,7,8,7,14,14,16,17,16,17,16,1,3,23,24,23,24,27,28,27,28,24,14,8,7,7,17,17,3,1,3,27,27,28,28,8,8,17,17,7,16,7,16,8,8,17,17,24,28,28,28,28,24,24,8,8,17,17,28,28,28},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,14,15,14,14,14,15,14,4,1,23,23,25,25,27,27,29,29,25,15,7,10,10,14,14,4,1,4,29,29,27,27,10,10,15,15,9,14,9,14,10,10,15,15,25,29,29,29,29,25,25,10,10,15,15,29,29,29},
{0,1,2,3,4,5,2,7,8,9,10,11,12,11,14,15,16,17,18,19,18,4,3,23,24,25,26,27,28,29,30,26,15,8,10,10,17,17,5,2,5,29,29,28,28,12,12,19,19,11,18,11,18,12,12,19,19,26,30,30,30,30,26,26,12,12,19,19,30,30,30},
{0,1,2,1,1,2,6,7,7,9,9,11,11,13,14,14,16,16,18,18,20,1,1,23,24,25,26,23,24,25,26,31,14,7,9,9,16,16,6,6,6,25,25,24,24,13,13,20,20,13,20,13,20,13,13,20,20,31,31,31,31,31,31,31,13,13,20,20,31,31,31},
{0,1,1,1,4,4,1,1,1,1,4,1,4,1,14,15,14,14,14,15,14,21,1,14,14,14,14,14,14,15,15,14,32,1,21,21,14,14,21,1,21,32,32,14,14,21,21,32,32,1,14,1,14,21,21,32,32,14,32,32,32,32,14,14,21,21,32,32,32,32,32},
{0,1,1,3,1,3,1,7,8,7,7,7,8,7,1,1,1,3,1,3,1,1,22,7,7,7,7,7,8,7,8,7,1,33,7,7,22,22,22,1,22,7,7,33,33,33,33,22,22,7,1,7,1,33,33,22,22,7,33,33,33,33,7,7,33,33,22,22,33,33,33},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,1,4,1,1,1,4,1,21,1,7,7,9,9,7,7,10,10,9,21,7,34,34,1,1,21,1,21,34,34,7,7,34,34,21,21,9,1,9,1,34,34,21,21,9,34,34,34,34,9,9,34,34,21,21,34,34,34},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,1,4,1,1,1,4,1,21,1,7,7,9,9,7,7,10,10,9,21,7,34,35,1,1,21,1,21,34,35,7,7,34,35,21,21,9,1,9,1,34,35,21,21,9,34,35,34,35,9,9,34,35,21,21,34,35,34},
{0,1,1,3,1,3,1,1,3,1,1,1,3,1,14,14,16,17,16,17,16,1,22,14,16,14,16,14,17,14,17,16,14,22,1,1,36,36,22,1,22,14,14,36,36,22,22,36,36,1,16,1,16,22,22,36,36,16,36,36,36,36,16,16,22,22,36,36,36,36,36},
{0,1,1,3,1,3,1,1,3,1,1,1,3,1,14,14,16,17,16,17,16,1,22,14,16,14,16,14,17,14,17,16,14,22,1,1,36,37,22,1,22,14,14,36,37,22,22,36,37,1,16,1,16,22,22,36,37,16,36,36,37,37,16,16,22,22,36,37,36,36,37},
{0,1,2,3,4,5,6,1,3,1,4,2,5,6,1,4,1,3,2,5,6,21,22,1,1,1,2,1,3,4,5,6,21,22,21,21,22,22,38,6,38,21,21,22,22,38,38,38,38,6,6,6,6,38,38,38,38,6,38,38,38,38,6,6,38,38,38,38,38,38,38},
{0,1,2,1,1,2,6,1,1,1,1,2,2,6,1,1,1,1,2,2,6,1,1,1,1,1,2,1,1,1,2,6,1,1,1,1,1,1,6,39,39,1,1,1,1,6,6,6,6,39,39,39,39,39,39,39,39,39,6,6,6,6,39,39,39,39,39,39,39,39,39},
{0,1,2,3,4,5,6,1,3,1,4,2,5,6,1,4,1,3,2,5,6,21,22,1,1,1,2,1,3,4,5,6,21,22,21,21,22,22,38,39,40,21,21,22,22,38,38,38,38,39,39,39,39,40,40,40,40,39,38,38,38,38,39,39,40,40,40,40,40,40,40},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,14,15,14,14,14,15,14,21,1,23,23,25,25,27,27,29,29,25,32,7,34,34,14,14,21,1,21,41,41,27,27,34,34,32,32,9,14,9,14,34,34,32,32,25,41,41,41,41,25,25,34,34,32,32,41,41,41},
{0,1,1,1,4,4,1,7,7,9,10,9,10,9,14,15,14,14,14,15,14,21,1,23,23,25,25,27,27,29,29,25,32,7,34,35,14,14,21,1,21,41,42,27,27,34,35,32,32,9,14,9,14,34,35,32,32,25,41,42,41,42,25,25,34,35,32,32,41,42,41},
{0,1,1,3,1,3,1,7,8,7,7,7,8,7,14,14,16,17,16,17,16,1,22,23,24,23,24,27,28,27,28,24,14,33,7,7,36,36,22,1,22,27,27,43,43,33,33,36,36,7,16,7,16,33,33,36,36,24,43,43,43,43,24,24,33,33,36,36,43,43,43},
{0,1,1,3,1,3,1,7,8,7,7,7,8,7,14,14,16,17,16,17,16,1,22,23,24,23,24,27,28,27,28,24,14,33,7,7,36,37,22,1,22,27,27,43,44,33,33,36,37,7,16,7,16,33,33,36,37,24,43,43,44,44,24,24,33,33,36,37,43,43,44},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,34,22,22,38,6,38,34,34,33,33,45,45,38,38,13,6,13,6,45,45,38,38,13,45,45,45,45,13,13,45,45,38,38,45,45,45},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,35,22,22,38,6,38,34,35,33,33,45,46,38,38,13,6,13,6,45,46,38,38,13,45,46,45,46,13,13,45,46,38,38,45,46,45},
{0,1,2,3,4,5,6,1,3,1,4,2,5,6,14,15,16,17,18,19,20,21,22,14,16,14,18,14,17,15,19,20,32,22,21,21,36,36,38,6,38,32,32,36,36,38,38,47,47,6,20,6,20,38,38,47,47,20,47,47,47,47,20,20,38,38,47,47,47,47,47},
{0,1,2,3,4,5,6,1,3,1,4,2,5,6,14,15,16,17,18,19,20,21,22,14,16,14,18,14,17,15,19,20,32,22,21,21,36,37,38,6,38,32,32,36,37,38,38,47,48,6,20,6,20,38,38,47,48,20,47,47,48,48,20,20,38,38,47,48,47,47,48},
{0,1,2,1,1,2,6,7,7,9,9,11,11,13,1,1,1,1,2,2,6,1,1,7,7,9,11,7,7,9,11,13,1,7,9,9,1,1,6,39,39,9,9,7,7,13,13,6,6,49,39,49,39,49,49,39,39,49,13,13,13,13,49,49,49,49,39,39,49,49,49},
{0,1,2,1,1,2,6,1,1,1,1,2,2,6,14,14,16,16,18,18,20,1,1,14,16,14,18,14,16,14,18,20,14,1,1,1,16,16,6,39,39,14,14,16,16,6,6,20,20,39,50,39,50,39,39,50,50,50,20,20,20,20,50,50,39,39,50,50,50,50,50},
{0,1,2,1,1,2,6,7,7,9,9,11,11,13,1,1,1,1,2,2,6,1,1,7,7,9,11,7,7,9,11,13,1,7,9,9,1,1,6,39,39,9,9,7,7,13,13,6,6,49,39,51,39,49,49,39,39,49,13,13,13,13,49,51,51,51,39,39,51,51,51},
{0,1,2,1,1,2,6,1,1,1,1,2,2,6,14,14,16,16,18,18,20,1,1,14,16,14,18,14,16,14,18,20,14,1,1,1,16,16,6,39,39,14,14,16,16,6,6,20,20,39,50,39,52,39,39,50,50,50,20,20,20,20,52,50,39,39,52,52,52,52,52},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,34,22,22,38,39,40,34,34,33,33,45,45,38,38,49,39,49,39,53,53,40,40,49,45,45,45,45,49,49,53,53,40,40,53,53,53},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,35,22,22,38,39,40,34,35,33,33,45,46,38,38,49,39,49,39,53,54,40,40,49,45,46,45,46,49,49,53,54,40,40,53,54,53},
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{0,1,2,1,1,2,6,7,7,9,9,11,11,13,14,14,16,16,18,18,20,1,1,23,24,25,26,23,24,25,26,31,14,7,9,9,16,16,6,39,39,25,25,24,24,13,13,20,20,49,50,51,50,49,49,50,50,57,31,31,31,31,57,63,51,51,50,50,63,63,63},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,34,22,22,38,39,40,34,34,33,33,45,45,38,38,49,39,51,39,53,53,40,40,49,45,45,45,45,49,51,64,64,40,40,64,64,64},
{0,1,2,3,4,5,6,7,8,9,10,11,12,13,1,4,1,3,2,5,6,21,22,7,7,9,11,7,8,10,12,13,21,33,34,35,22,22,38,39,40,34,35,33,33,45,46,38,38,49,39,51,39,53,54,40,40,49,45,46,45,46,49,51,64,65,40,40,64,65,64},
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{0,1,2,3,4,5,6,1,3,1,4,2,5,6,14,15,16,17,18,19,20,21,22,14,16,14,18,14,17,15,19,20,32,22,21,21,36,37,38,39,40,32,32,36,37,38,38,47,48,39,50,39,52,40,40,55,56,50,47,47,48,48,52,50,40,40,66,67,66,66,67},
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{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,36,38,39,40,41,42,43,43,45,46,47,47,49,50,51,52,53,54,55,55,57,58,59,58,59,62,63,64,65,66,66,68,69,68},
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