rho1 rho2 | families: period = large-arc hits + small-arc hits + segment hits (fraction of phase measure)
 1/11  1/12 | 23 = 11+12+0 (115/132) ; 36 = 22+12+2 (17/132)
 1/10  1/12 | 11 = 5+6+0 (11/12) ; 12 = 10+0+2 (1/12)
 1/10  1/11 | 12 = 10+0+2 (1/22) ; 21 = 10+11+0 (21/22)
  1/9  1/12 | 21 = 9+12+0 (7/12) ; 32 = 18+12+2 (5/12)
  1/9  1/11 | 91 = 45+44+2 (89/198) ; 111 = 54+55+2 (109/198)
  1/9  1/10 | 19 = 9+10+0 (38/45) ; 30 = 18+10+2 (7/45)
  1/8  1/12 | 10 = 4+6+0 (5/6) ; 10 = 8+0+2 (1/6)
  1/8  1/11 | 10 = 8+0+2 (3/22) ; 19 = 8+11+0 (19/22)
  1/8  1/10 | 9 = 4+5+0 (9/10) ; 10 = 8+0+2 (1/10)
  1/8   1/9 | 10 = 8+0+2 (1/18) ; 17 = 8+9+0 (17/18)
  1/7  1/12 | 19 = 7+12+0 (19/84) ; 28 = 14+12+2 (65/84)
  1/7  1/11 | 27 = 14+11+2 (25/154) ; 45 = 21+22+2 (129/154)
  1/7  1/10 | 17 = 7+10+0 (17/35) ; 26 = 14+10+2 (18/35)
  1/7   1/9 | 57 = 28+27+2 (55/126) ; 73 = 35+36+2 (71/126)
  1/7   1/8 | 15 = 7+8+0 (45/56) ; 24 = 14+8+2 (11/56)
  1/6  1/12 | 8 = 6+0+2 (1/4) ; 9 = 3+6+0 (3/4)
  1/6  1/11 | 8 = 6+0+2 (5/22) ; 17 = 6+11+0 (17/22)
  1/6  1/10 | 8 = 3+5+0 (4/5) ; 8 = 6+0+2 (1/5)
  1/6   1/9 | 8 = 6+0+2 (1/6) ; 15 = 6+9+0 (5/6)
  1/6   1/8 | 7 = 3+4+0 (7/8) ; 8 = 6+0+2 (1/8)
  1/6   1/7 | 8 = 6+0+2 (1/14) ; 13 = 6+7+0 (13/14)
 2/11  1/12 | 25 = 11+12+2 (115/132) ; 40 = 22+12+6 (17/132)
 2/11  1/11 | 8 = 3+5+0 (4/11) ; 16 = 8+6+2 (7/11)
 2/11  1/10 | 23 = 11+10+2 (42/55) ; 54 = 22+30+2 (13/55)
 2/11   1/9 | 95 = 44+45+6 (89/198) ; 117 = 55+54+8 (109/198)
 2/11   1/8 | 21 = 11+8+2 (19/88) ; 48 = 22+24+2 (69/88)
 2/11   1/7 | 25 = 11+14+0 (25/154) ; 45 = 22+21+2 (129/154)
 2/11   1/6 | 23 = 11+12+0 (23/33) ; 42 = 22+18+2 (10/33)
  1/5  1/12 | 7 = 5+0+2 (1/12) ; 24 = 10+12+2 (11/12)
  1/5  1/11 | 7 = 5+0+2 (1/22) ; 23 = 10+11+2 (21/22)
  1/5  1/10 | 22 = 10+10+2 (1)
  1/5   1/9 | 21 = 10+9+2 (19/30) ; 35 = 15+18+2 (11/30)
  1/5   1/8 | 13 = 5+8+0 (13/40) ; 20 = 10+8+2 (27/40)
  1/5   1/7 | 31 = 15+14+2 (29/70) ; 43 = 20+21+2 (41/70)
  1/5   1/6 | 11 = 5+6+0 (11/15) ; 18 = 10+6+2 (4/15)
  1/5  2/11 | 21 = 10+11+0 (63/110) ; 49 = 25+22+2 (47/110)
  2/9  1/12 | 23 = 9+12+2 (7/12) ; 36 = 18+12+6 (5/12)
  2/9  1/11 | 101 = 45+44+12 (89/198) ; 123 = 54+55+14 (109/198)
  2/9  1/10 | 21 = 9+10+2 (38/45) ; 34 = 18+10+6 (7/45)
  2/9   1/9 | 7 = 2+5+0 (7/18) ; 13 = 7+4+2 (11/18)
  2/9   1/8 | 19 = 9+8+2 (17/24) ; 44 = 18+24+2 (7/24)
  2/9   1/7 | 59 = 27+28+4 (55/126) ; 77 = 36+35+6 (71/126)
  2/9   1/6 | 38 = 18+18+2 (1)
  2/9  2/11 | 82 = 36+44+2 (40/99) ; 124 = 63+55+6 (59/99)
  2/9   1/5 | 19 = 9+10+0 (19/30) ; 35 = 18+15+2 (11/30)
  1/4  1/12 | 6 = 4+0+2 (1/3) ; 8 = 2+6+0 (2/3)
  1/4  1/11 | 6 = 4+0+2 (7/22) ; 15 = 4+11+0 (15/22)
  1/4  1/10 | 6 = 4+0+2 (3/10) ; 7 = 2+5+0 (7/10)
  1/4   1/9 | 6 = 4+0+2 (5/18) ; 13 = 4+9+0 (13/18)
  1/4   1/8 | 6 = 2+4+0 (3/4) ; 6 = 4+0+2 (1/4)
  1/4   1/7 | 6 = 4+0+2 (3/14) ; 11 = 4+7+0 (11/14)
  1/4   1/6 | 5 = 2+3+0 (5/6) ; 6 = 4+0+2 (1/6)
  1/4  2/11 | 6 = 4+0+2 (3/22) ; 19 = 8+11+0 (19/22)
  1/4   1/5 | 6 = 4+0+2 (1/10) ; 9 = 4+5+0 (9/10)
  1/4   2/9 | 6 = 4+0+2 (1/18) ; 17 = 8+9+0 (17/18)
 3/11  1/12 | 27 = 11+12+4 (115/132) ; 44 = 22+12+10 (17/132)
 3/11  1/11 | 7 = 2+5+0 (7/22) ; 19 = 9+6+4 (15/22)
 3/11  1/10 | 25 = 11+10+4 (42/55) ; 58 = 22+30+6 (13/55)
 3/11   1/9 | 103 = 44+45+14 (89/198) ; 127 = 55+54+18 (109/198)
 3/11   1/8 | 23 = 11+8+4 (19/88) ; 52 = 22+24+6 (69/88)
 3/11   1/7 | 27 = 11+14+2 (25/154) ; 49 = 22+21+6 (129/154)
 3/11   1/6 | 25 = 11+12+2 (23/33) ; 46 = 22+18+6 (10/33)
 3/11  2/11 | 9 = 4+5+0 (9/22) ; 15 = 7+6+2 (13/22)
 3/11   1/5 | 23 = 11+10+2 (63/110) ; 49 = 22+25+2 (47/110)
 3/11   2/9 | 24 = 11+9+4 (10/99) ; 184 = 88+90+6 (89/99)
 3/11   1/4 | 23 = 11+12+0 (23/44) ; 44 = 22+20+2 (21/44)
  2/7  1/12 | 21 = 7+12+2 (19/84) ; 32 = 14+12+6 (65/84)
  2/7  1/11 | 31 = 14+11+6 (25/154) ; 51 = 21+22+8 (129/154)
  2/7  1/10 | 19 = 7+10+2 (17/35) ; 30 = 14+10+6 (18/35)
  2/7   1/9 | 65 = 28+27+10 (55/126) ; 83 = 35+36+12 (71/126)
  2/7   1/8 | 17 = 7+8+2 (45/56) ; 28 = 14+8+6 (11/56)
  2/7   1/7 | 5 = 2+3+0 (5/14) ; 11 = 5+4+2 (9/14)
  2/7   1/6 | 15 = 7+6+2 (13/21) ; 34 = 14+18+2 (8/21)
  2/7  2/11 | 29 = 14+11+4 (25/154) ; 47 = 21+22+4 (129/154)
  2/7   1/5 | 31 = 14+15+2 (29/70) ; 45 = 21+20+4 (41/70)
  2/7   2/9 | 18 = 7+9+2 (8/63) ; 116 = 56+54+6 (55/63)
  2/7   1/4 | 15 = 7+8+0 (15/28) ; 28 = 14+12+2 (13/28)
  2/7  3/11 | 43 = 21+22+0 (43/154) ; 113 = 56+55+2 (111/154)
 3/10  1/12 | 13 = 5+6+2 (11/12) ; 16 = 10+0+6 (1/12)
 3/10  1/11 | 16 = 10+0+6 (1/22) ; 25 = 10+11+4 (21/22)
 3/10  1/10 | 12 = 5+5+2 (1)
 3/10   1/9 | 23 = 10+9+4 (19/30) ; 76 = 30+36+10 (11/30)
 3/10   1/8 | 11 = 5+4+2 (27/40) ; 28 = 10+16+2 (13/40)
 3/10   1/7 | 47 = 20+21+6 (41/70) ; 68 = 30+28+10 (29/70)
 3/10   1/6 | 10 = 5+3+2 (4/15) ; 24 = 10+12+2 (11/15)
 3/10  2/11 | 23 = 10+11+2 (63/110) ; 108 = 50+44+14 (47/110)
 3/10   1/5 | 4 = 2+2+0 (2/5) ; 14 = 6+6+2 (3/5)
 3/10   2/9 | 21 = 10+9+2 (19/90) ; 152 = 70+72+10 (71/90)
 3/10   1/4 | 11 = 5+6+0 (11/20) ; 20 = 10+8+2 (9/20)
 3/10  3/11 | 54 = 30+22+2 (13/55) ; 86 = 40+44+2 (42/55)
 3/10   2/7 | 41 = 20+21+0 (41/70) ; 60 = 30+28+2 (29/70)
  1/3  1/12 | 5 = 3+0+2 (1/4) ; 20 = 6+12+2 (3/4)
  1/3  1/11 | 5 = 3+0+2 (5/22) ; 19 = 6+11+2 (17/22)
  1/3  1/10 | 5 = 3+0+2 (1/5) ; 18 = 6+10+2 (4/5)
  1/3   1/9 | 5 = 3+0+2 (1/6) ; 17 = 6+9+2 (5/6)
  1/3   1/8 | 5 = 3+0+2 (1/8) ; 16 = 6+8+2 (7/8)
  1/3   1/7 | 5 = 3+0+2 (1/14) ; 15 = 6+7+2 (13/14)
  1/3   1/6 | 14 = 6+6+2 (1)
  1/3  2/11 | 27 = 12+11+4 (23/66) ; 49 = 21+22+6 (43/66)
  1/3   1/5 | 13 = 6+5+2 (11/30) ; 21 = 9+10+2 (19/30)
  1/3   2/9 | 4 = 1+3+0 (2/9) ; 16 = 8+6+2 (7/9)
  1/3   1/4 | 7 = 3+4+0 (7/12) ; 12 = 6+4+2 (5/12)
  1/3  3/11 | 25 = 12+11+2 (23/66) ; 45 = 21+22+2 (43/66)
  1/3   2/7 | 13 = 6+7+0 (13/42) ; 31 = 15+14+2 (29/42)
  1/3  3/10 | 62 = 30+30+2 (1)
 4/11  1/12 | 29 = 11+12+6 (115/132) ; 48 = 22+12+14 (17/132)
 4/11  1/11 | 12 = 4+6+2 (5/11) ; 16 = 7+5+4 (6/11)
 4/11  1/10 | 27 = 11+10+6 (42/55) ; 62 = 22+30+10 (13/55)
 4/11   1/9 | 111 = 44+45+22 (89/198) ; 137 = 55+54+28 (109/198)
 4/11   1/8 | 25 = 11+8+6 (19/88) ; 56 = 22+24+10 (69/88)
 4/11   1/7 | 53 = 22+21+10 (43/154) ; 135 = 55+56+24 (111/154)
 4/11   1/6 | 27 = 11+12+4 (23/33) ; 50 = 22+18+10 (10/33)
 4/11  2/11 | 9 = 4+3+2 (7/22) ; 17 = 7+8+2 (15/22)
 4/11   1/5 | 30 = 11+15+4 (13/55) ; 98 = 44+40+14 (42/55)
 4/11   2/9 | 101 = 44+45+12 (89/198) ; 125 = 55+54+16 (109/198)
 4/11   1/4 | 25 = 11+12+2 (23/44) ; 48 = 22+20+6 (21/44)
 4/11  3/11 | 3 = 2+1+0 (3/22) ; 21 = 9+10+2 (19/22)
 4/11   2/7 | 27 = 11+14+2 (75/154) ; 85 = 44+35+6 (79/154)
 4/11  3/10 | 234 = 110+110+14 (1)
 4/11   1/3 | 26 = 11+15+0 (13/33) ; 42 = 22+18+2 (20/33)
  3/8  1/12 | 12 = 4+6+2 (5/6) ; 14 = 8+0+6 (1/6)
  3/8  1/11 | 14 = 8+0+6 (3/22) ; 23 = 8+11+4 (19/22)
  3/8  1/10 | 11 = 4+5+2 (9/10) ; 14 = 8+0+6 (1/10)
  3/8   1/9 | 14 = 8+0+6 (1/18) ; 21 = 8+9+4 (17/18)
  3/8   1/8 | 10 = 4+4+2 (1)
  3/8   1/7 | 19 = 8+7+4 (15/28) ; 62 = 24+28+10 (13/28)
  3/8   1/6 | 9 = 4+3+2 (7/12) ; 22 = 8+12+2 (5/12)
  3/8  2/11 | 210 = 88+88+34 (1)
  3/8   1/5 | 94 = 40+40+14 (1)
  3/8   2/9 | 19 = 8+9+2 (17/36) ; 90 = 40+36+14 (19/36)
  3/8   1/4 | 18 = 8+8+2 (1)
  3/8  3/11 | 194 = 88+88+18 (1)
  3/8   2/7 | 122 = 56+56+10 (1)
  3/8  3/10 | 86 = 40+40+6 (1)
  3/8   1/3 | 50 = 24+24+2 (1)
  3/8  4/11 | 178 = 88+88+2 (1)
  2/5  1/12 | 9 = 5+0+4 (1/12) ; 28 = 10+12+6 (11/12)
  2/5  1/11 | 9 = 5+0+4 (1/22) ; 27 = 10+11+6 (21/22)
  2/5  1/10 | 26 = 10+10+6 (1)
  2/5   1/9 | 25 = 10+9+6 (19/30) ; 41 = 15+18+8 (11/30)
  2/5   1/8 | 15 = 5+8+2 (13/40) ; 24 = 10+8+6 (27/40)
  2/5   1/7 | 37 = 15+14+8 (29/70) ; 51 = 20+21+10 (41/70)
  2/5   1/6 | 13 = 5+6+2 (11/15) ; 22 = 10+6+6 (4/15)
  2/5  2/11 | 25 = 10+11+4 (63/110) ; 59 = 25+22+12 (47/110)
  2/5   1/5 | 4 = 1+3+0 (2/5) ; 8 = 4+2+2 (3/5)
  2/5   2/9 | 23 = 10+9+4 (19/30) ; 37 = 15+18+4 (11/30)
  2/5   1/4 | 11 = 5+4+2 (9/20) ; 24 = 10+12+2 (11/20)
  2/5  3/11 | 23 = 10+11+2 (21/110) ; 101 = 45+44+12 (89/110)
  2/5   2/7 | 26 = 10+14+2 (12/35) ; 52 = 25+21+6 (23/35)
  2/5  3/10 | 3 = 1+2+0 (3/5) ; 10 = 6+2+2 (2/5)
  2/5   1/3 | 11 = 5+6+0 (11/30) ; 21 = 10+9+2 (19/30)
  2/5  4/11 | 21 = 10+11+0 (21/110) ; 93 = 45+44+4 (89/110)
  2/5   3/8 | 20 = 10+8+2 (9/40) ; 31 = 15+16+0 (31/40)
 5/12  1/12 | 16 = 6+6+4 (1)
 5/12  1/11 | 31 = 12+11+8 (23/33) ; 102 = 36+44+22 (10/33)
 5/12  1/10 | 15 = 6+5+4 (11/15) ; 38 = 12+20+6 (4/15)
 5/12   1/9 | 94 = 36+36+22 (1)
 5/12   1/8 | 14 = 6+4+4 (5/12) ; 34 = 12+16+6 (7/12)
 5/12   1/7 | 214 = 84+84+46 (1)
 5/12   1/6 | 30 = 12+12+6 (1)
 5/12  2/11 | 29 = 12+11+6 (23/66) ; 210 = 84+88+38 (43/66)
 5/12   1/5 | 146 = 60+60+26 (1)
 5/12   2/9 | 86 = 36+36+14 (1)
 5/12   1/4 | 14 = 6+6+2 (1)
 5/12  3/11 | 302 = 132+132+38 (1)
 5/12   2/7 | 190 = 84+84+22 (1)
 5/12  3/10 | 134 = 60+60+14 (1)
 5/12   1/3 | 26 = 12+12+2 (1)
 5/12  4/11 | 25 = 12+11+2 (23/66) ; 178 = 84+88+6 (43/66)
 5/12   3/8 | 5 = 3+2+0 (5/24) ; 40 = 18+20+2 (19/24)
 5/12   2/5 | 122 = 60+60+2 (1)
  3/7  1/12 | 23 = 7+12+4 (19/84) ; 36 = 14+12+10 (65/84)
  3/7  1/11 | 35 = 14+11+10 (25/154) ; 57 = 21+22+14 (129/154)
  3/7  1/10 | 21 = 7+10+4 (17/35) ; 34 = 14+10+10 (18/35)
  3/7   1/9 | 73 = 28+27+18 (55/126) ; 93 = 35+36+22 (71/126)
  3/7   1/8 | 19 = 7+8+4 (45/56) ; 32 = 14+8+10 (11/56)
  3/7   1/7 | 5 = 1+4+0 (5/14) ; 13 = 6+3+4 (9/14)
  3/7   1/6 | 17 = 7+6+4 (13/21) ; 38 = 14+18+6 (8/21)
  3/7  2/11 | 62 = 21+33+8 (27/77) ; 130 = 56+44+30 (50/77)
  3/7   1/5 | 35 = 14+15+6 (29/70) ; 51 = 21+20+10 (41/70)
  3/7   2/9 | 67 = 28+27+12 (55/126) ; 85 = 35+36+14 (71/126)
  3/7   1/4 | 17 = 7+8+2 (15/28) ; 32 = 14+12+6 (13/28)
  3/7  3/11 | 60 = 28+22+10 (25/77) ; 118 = 49+55+14 (52/77)
  3/7   2/7 | 3 = 1+2+0 (9/14) ; 7 = 4+1+2 (5/14)
  3/7  3/10 | 158 = 70+70+18 (1)
  3/7   1/3 | 15 = 7+6+2 (13/42) ; 31 = 14+15+2 (29/42)
  3/7  4/11 | 27 = 14+11+2 (25/154) ; 137 = 63+66+8 (129/154)
  3/7   3/8 | 24 = 14+8+2 (11/56) ; 47 = 21+24+2 (45/56)
  3/7   2/5 | 29 = 14+15+0 (29/70) ; 43 = 21+20+2 (41/70)
  3/7  5/12 | 28 = 14+12+2 (13/84) ; 71 = 35+36+0 (71/84)
  4/9  1/12 | 27 = 9+12+6 (7/12) ; 44 = 18+12+14 (5/12)
  4/9  1/11 | 121 = 45+44+32 (89/198) ; 147 = 54+55+38 (109/198)
  4/9  1/10 | 25 = 9+10+6 (38/45) ; 42 = 18+10+14 (7/45)
  4/9   1/9 | 6 = 1+5+0 (1/3) ; 18 = 8+4+6 (2/3)
  4/9   1/8 | 23 = 9+8+6 (17/24) ; 52 = 18+24+10 (7/24)
  4/9   1/7 | 71 = 27+28+16 (55/126) ; 93 = 36+35+22 (71/126)
  4/9   1/6 | 46 = 18+18+10 (1)
  4/9  2/11 | 81 = 27+44+10 (71/198) ; 169 = 72+55+42 (127/198)
  4/9   1/5 | 23 = 9+10+4 (19/30) ; 43 = 18+15+10 (11/30)
  4/9   2/9 | 7 = 2+5+0 (7/18) ; 15 = 7+4+4 (11/18)
  4/9   1/4 | 21 = 9+8+4 (17/36) ; 44 = 18+20+6 (19/36)
  4/9  3/11 | 75 = 27+44+4 (71/198) ; 157 = 72+55+30 (127/198)
  4/9   2/7 | 48 = 18+28+2 (23/63) ; 98 = 45+35+18 (40/63)
  4/9  3/10 | 21 = 9+10+2 (19/45) ; 122 = 54+50+18 (26/45)
  4/9   1/3 | 8 = 3+5+0 (4/9) ; 12 = 6+4+2 (5/9)
  4/9  4/11 | 42 = 18+22+2 (20/33) ; 88 = 45+33+10 (13/33)
  4/9   3/8 | 32 = 18+8+6 (13/72) ; 61 = 27+32+2 (59/72)
  4/9   2/5 | 19 = 9+10+0 (19/90) ; 75 = 36+35+4 (71/90)
  4/9  5/12 | 7 = 3+4+0 (7/12) ; 32 = 18+12+2 (5/12)
  4/9   3/7 | 55 = 27+28+0 (55/126) ; 73 = 36+35+2 (71/126)
 5/11  1/12 | 31 = 11+12+8 (115/132) ; 52 = 22+12+18 (17/132)
 5/11  1/11 | 7 = 1+6+0 (7/22) ; 23 = 10+5+8 (15/22)
 5/11  1/10 | 29 = 11+10+8 (42/55) ; 66 = 22+30+14 (13/55)
 5/11   1/9 | 119 = 44+45+30 (89/198) ; 147 = 55+54+38 (109/198)
 5/11   1/8 | 27 = 11+8+8 (19/88) ; 60 = 22+24+14 (69/88)
 5/11   1/7 | 31 = 11+14+6 (25/154) ; 57 = 22+21+14 (129/154)
 5/11   1/6 | 29 = 11+12+6 (23/33) ; 54 = 22+18+14 (10/33)
 5/11  2/11 | 4 = 1+3+0 (6/11) ; 16 = 8+2+6 (5/11)
 5/11   1/5 | 27 = 11+10+6 (63/110) ; 57 = 22+25+10 (47/110)
 5/11   2/9 | 109 = 44+45+20 (89/198) ; 135 = 55+54+26 (109/198)
 5/11   1/4 | 27 = 11+12+4 (23/44) ; 52 = 22+20+10 (21/44)
 5/11  3/11 | 3 = 1+2+0 (15/22) ; 11 = 6+1+4 (7/22)
 5/11   2/7 | 51 = 22+21+8 (43/154) ; 129 = 55+56+18 (111/154)
 5/11  3/10 | 25 = 11+10+4 (21/55) ; 154 = 66+70+18 (34/55)
 5/11   1/3 | 25 = 11+12+2 (23/66) ; 49 = 22+21+6 (43/66)
 5/11  4/11 | 5 = 2+3+0 (15/22) ; 9 = 5+2+2 (7/22)
 5/11   3/8 | 48 = 22+24+2 (23/88) ; 71 = 33+32+6 (65/88)
 5/11   2/5 | 23 = 11+10+2 (21/110) ; 93 = 44+45+4 (89/110)
 5/11  5/12 | 23 = 11+12+0 (23/132) ; 228 = 110+108+10 (109/132)
 5/11   3/7 | 45 = 22+21+2 (43/154) ; 113 = 55+56+2 (111/154)
 5/11   4/9 | 89 = 44+45+0 (89/198) ; 111 = 55+54+2 (109/198)
