v name  DSname  manifold  etc  generator Matveev
0  Σ(1, 0)  S^{3}
Σ(2, 1)  P^{3}
Σ(0, 1)  S^{2} × S^{1}  ♯0_{1}
Σ(3, 1)  L(3, 1)  ♯0_{1}
1  awabi  S^{3}  池田のあわび (reducible)  ♯1_{2}
Σ(4, 1)  L(4, 1)  ♯1_{2}
Σ(5, 2)  L(5, 2)  ♯1_{2}
2  Σ(5, 1)  L(5, 1)  ♯1_{2}^{2}
Σ(7, 2)  L(7, 2)  ♯1_{2}^{2}
Σ(8, 3)  L(8, 3)  ♯1_{2}^{2}
K2  Σ(Q_{8})  S^{3}/Q_{8}  S^{2}(−1; (2, 1), (2, 1), (2, 1))  T2
3  Σ(6, 1)  L(6, 1)  ♯1_{2}^{3}
Σ(10, 3)  L(10, 3)  ♯1_{2}^{3}
Σ(9, 2)  L(9, 2)  ♯1_{2}^{3}
Σ(11, 3)  L(11, 3)  ♯1_{2}^{3}
Σ(12, 5)  L(12, 5)  ♯1_{2}^{3}
Σ(13, 5)  L(13, 5)  ♯1_{2}^{3}
Σ(Q_{12})  S^{3}/Q_{12}  S^{2}(−1; (2, 1), (2, 1), (3, 1))  T3–2
4 K4–01  Σ(7, 1)  L(7, 1)  ♯1_{2}^{4}  M4–01
K4–02  Σ(13, 2)  L(13, 2)  ♯1_{2}^{4}  M4–03
K4–03  Σ(15, 4)  L(15, 4)  ♯1_{2}^{4}  M4–05
K4–04  Σ(11, 2)  L(11, 2)  ♯1_{2}^{4}  M4–02
K4–05  Σ(14, 3)  L(14, 3)  ♯1_{2}^{4}  M4–04
K4–06  Σ(17, 5)  L(17, 5)  ♯1_{2}^{4}  M4–07
K4–07  Σ(18, 5)  L(18, 5)  ♯1_{2}^{4}  M4–08
K4–08  Σ(16, 7)  L(16, 7)  ♯1_{2}^{4}  M4–06
K4–09  Σ(19, 7)  L(19, 7)  ♯1_{2}^{4}  M4–09
K4–10  Σ(21, 8)  L(21, 8)  ♯1_{2}^{4}  M4–10
K4–11  L(12, 5)  reducible  ♯3_{2} + ♯1_{1}
K4–12  S^{3}/Q_{12}  reducible  ♯3_{2} + ♯1_{1}
K4–13  S^{3}/Q_{8} × ℤ_{3} S^{2}(0; (2, 1), (2, 1), (2, 1)) ♯3_{2} + ♯1_{1} M4–14
K4–14  S^{3}/D_{24}  S^{2}(−1; (2, 1), (2, 1), (3, 2)) ♯3_{2} + ♯1_{1} M4–12A
K4–15  Σ(Q_{16})  S^{3}/Q_{16}  S^{2}(−1; (2, 1), (2, 1), (4, 1))  T4–2  M4–11
K4–16  S^{3}/D_{24}  S^{2}(−1; (2, 1), (2, 1), (3, 1)) T4–1_{1}  M4–12B
K4–17 Σ(B(2, 3, 4))  S^{3}/P_{24}  S^{2}(−1; (2, 1), (3, 1), (3, 1))  T4–3  M4–13
5 K5–01  Σ(8, 1)  L(8, 1)  ♯1_{2}^{5}  M5–01
K5–02  Σ(16, 8)  L(16, 8)  ♯1_{2}^{5}  M5–03

v name DSname  manifold  etc  generator Matveev
K5–03 Σ(17, 7)  L(17, 7)  ♯1_{2}^{5}  M5–05
K5–04 Σ(19, 4)  L(19, 4)  ♯1_{2}^{5}  M5–06
K5–05 Σ(24, 7)  L(24, 7)  ♯1_{2}^{5}  M5–11
K5–06 Σ(25, 7)  L(25, 7)  ♯1_{2}^{5}  M5–12
K5–07 Σ(13, 2)  L(13, 2)  ♯1_{2}^{5}  M5–02
K5–08 Σ(17, 3)  L(17, 3)  ♯1_{2}^{5}  M5–04
K5–09 Σ(23, 7)  L(23, 7)  ♯1_{2}^{5}  M5–10
K5–10 Σ(22, 5)  L(22, 5)  ♯1_{2}^{5}  M5–08
K5–11 Σ(23, 5)  L(23, 5)  ♯1_{2}^{5}  M5–09
K5–12 Σ(30, 11)  L(30, 11)  ♯1_{2}^{5}  M5–18
K5–13 Σ(31, 12)  L(31, 12)  ♯1_{2}^{5}  M5–19
K5–14 Σ(29, 12)  L(29, 12)  ♯1_{2}^{5}  M5–17
K5–15 Σ(20, 9)  L(20, 9)  ♯1_{2}^{5}  M5–07
K5–16 Σ(34, 13)  L(34, 13)  ♯1_{2}^{5}  M5–20
K5–17 Σ(29, 8)  L(29, 8)  ♯1_{2}^{5}  M5–16
K5–18 Σ(27, 8)  L(27, 8)  ♯1_{2}^{5}  M5–15
K5–19 Σ(26, 7)  L(26, 7)  ♯1_{2}^{5}  M5–14
K5–20 Σ(25, 9)  L(25, 9)  ♯1_{2}^{5}  M5–13
K5–21  L(16, 7)  reducible  ♯3_{2} + ♯1_{1}^{2}
K5–22  S^{3}/Q_{14}  reducible  ♯3_{2} + ♯1_{1}^{2}
K5–23  S^{3}/D_{48}  S^{2}(0; (2, 1), (2, 1), (3, 1))  ♯3_{2} + ♯1_{1}^{2} M5–26A
K5–24  S^{3}/Q_{16} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (4, 3)) ♯3_{2} + ♯1_{1}^{2} M5–23A
K5–25  S^{3}/Q_{8} × ℤ_{5} S^{2}(1; (2, 1), (2, 1), (2, 1))  ♯3_{2} + ♯1_{1}^{2} M5–27B
K5–26  S^{3}/D_{40}  S^{2}(−1; (2, 1), (2, 1), (5, 2)) ♯3_{2} + ♯1_{1}^{2} M5–22A
K5–27  S^{3}/Q_{12} × ℤ_{5} S^{2}(0; (2, 1), (2, 1), (3, 2))  ♯3_{2} + ♯1_{1}^{2} M5–25A
K5–28  S^{3}/Q_{20} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (5, 3)) ♯3_{2} + ♯1_{1}^{2} M5–24A
K5–29  L(11, 2)  reducible  ♯3_{1} + 2♯1_{1}
K5–30  L(16, 7)  reducible  ♯3_{1} + 2♯1_{1}
K5–31  L(17, 5)  reducible  ♯3_{1} + 2♯1_{1}
K5–32  L(19, 7)  reducible  ♯3_{1} + 2♯1_{1}
K5–33  S^{3}/Q_{8} × ℤ_{5} S^{2}(1; (2, 1), (2, 1), (2, 1)) ♯3_{1} + 2♯1_{1} M5–27A
K5–34  S^{3}/D_{48}  S^{2}(0; (2, 1), (2, 1), (3, 1)) ♯3_{1} + 2♯1_{1} M5–26B
K5–35  S^{3}/P_{24}  reducible  ♯3_{1} + 2♯1_{1}
K5–36  S^{3}/P_{72}  S^{2}(−1; (2, 1), (3, 2), (3, 1)) ♯3_{1} + 2♯1_{1} M5–28A
K5–37  S^{3}/Q_{12} × ℤ_{5} S^{2}(0; (2, 1), (2, 1), (3, 2)) ♯3_{1} + 2♯1_{1} M5–25B
K5–38  S^{3}/P_{24} × ℤ_{5} S^{2}(−1; (2, 1), (3, 2), (3, 2)) ♯3_{1} + 2♯1_{1} M5–29
K5–39  S^{3}/Q_{16}  reducible  T4–1 + ♯1_{1}
K5–40  S^{3}/D_{40}  S^{2}(−1; (2, 1), (3, 2), (5, 2)) T4–1 + ♯1_{1} M5–22B

v name  DSname  manifold  etc  generator Matveev
K5–41  S^{3}/Q_{16} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (4, 3)) ♯3_{1} + 2♯1_{1} M5–23B
K5–42  S^{3}/Q_{20} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (5, 3)) ♯3_{1} + 2♯1_{1} M5–24B
K5–43  Σ(Q_{20})  S^{3}/Q_{20}  S^{2}(−1; (2, 1), (2, 1), (5, 1))  T5–4  M5–21
K5–44  L(10, 3)  reducible  T5–1_{2} >
K5–45  L(11, 3)  reducible  T5–1_{2} >
K5–46  S^{3}/P_{48}  S^{2}(−1; (2, 1), (3, 1), (4, 1))  T5–5  M5–30B
K5–47  S^{3}/P_{72}  S^{2}(−1; (2, 1), (3, 2), (3, 1)) T5–2_{1}⇒ M5–28B
K5–48  S^{3}/D_{40}  S^{2}(−1; (2, 1), (3, 2), (5, 2)) T5–3_{1}⇒ M5–22C
K5–49  S^{3}/P_{48}  S^{2}(−1; (2, 1), (3, 1), (4, 1)) T5–6⇒ M5–30A
K5–50 Σ(B(2, 3, 5))  S^{3}/P_{120}  S^{2}(−1; (2, 1), (3, 1), (5, 1))  T5–7  M5–31
6 K6–001  Σ(9, 1)  L(9, 1)  ♯1_{2}^{6}  M6–01
K6–002  Σ(19, 3)  L(19, 3)  ♯1_{2}^{6}  M6–03
K6–003  Σ(21, 4)  L(21, 4)  ♯1_{2}^{6}  M6–05
K6–004  Σ(23, 4)  L(23, 4)  ♯1_{2}^{6}  M6–06
K6–005 Σ(33, 10)  L(33, 10)  ♯1_{2}^{6}  M6–17
K6–006  Σ(31, 7)  L(31, 7)  ♯1_{2}^{6}  M6–13
K6–007  Σ(24, 5)  L(24, 5)  ♯1_{2}^{6}  M6–07
K6–008  Σ(32, 7)  L(32, 7)  ♯1_{2}^{6}  M6–15
K6–009 Σ(37, 10)  L(37, 10)  ♯1_{2}^{6}  M6–22
K6–010 Σ(40, 11)  L(40, 11)  ♯1_{2}^{6}  M6–25
K6–011  Σ(15, 2)  L(15, 2)  ♯1_{2}^{6}  M6–02
K6–012  Σ(20, 3)  L(20, 3)  ♯1_{2}^{6}  M6–04
K6–013  Σ(29, 9)  L(29, 9)  ♯1_{2}^{6}  M6–11
K6–014  Σ(27, 5)  L(27, 5)  ♯1_{2}^{6}  M6–09
K6–015  Σ(30, 7)  L(30, 7)  ♯1_{2}^{6}  M6–12
K6–016  Σ(28, 5)  L(28, 5)  ♯1_{2}^{6}  M6–10
K6–017 Σ(36, 11)  L(36, 11)  ♯1_{2}^{6}  M6–20
K6–018  Σ(35, 8)  L(35, 8)  ♯1_{2}^{6}  M6–19
K6–019  Σ(34, 9)  L(34, 9)  ♯1_{2}^{6}  M6–18
K6–020  Σ(33, 7)  L(33, 7)  ♯1_{2}^{6}  M6–16
K6–021 Σ(41, 12)  L(41, 12)  ♯1_{2}^{6}  M6–27
K6–022  Σ(37, 8)  L(37, 8)  ♯1_{2}^{6}  M6–21
K6–023 Σ(44, 13)  L(44, 13)  ♯1_{2}^{6}  M6–30
K6–024 Σ(41, 11)  L(41, 11)  ♯1_{2}^{6}  M6–26
K6–025 Σ(43, 12)  L(43, 12)  ♯1_{2}^{6}  M6–29
K6–026 Σ(43, 13)  L(43, 13)  ♯1_{2}^{6}  M6–33
K6–027 Σ(24, 11)  L(24, 11)  ♯1_{2}^{6}  M6–08
K6–028 Σ(31, 11)  L(31, 11)  ♯1_{2}^{6}  M6–14

v name DSname  manifold  etc  generator  Matveev
K6–029 Σ(39, 16)  L(39, 16)  ♯1_{2}^{6}  M6–24
K6–030 Σ(39, 14)  L(39, 14)  ♯1_{2}^{6}  M6–23
K6–031 Σ(41, 16)  L(41, 16)  ♯1_{2}^{6}  M6–28
K6–032 Σ(46, 17)  L(46, 17)  ♯1_{2}^{6}  M6–32
K6–033 Σ(45, 19)  L(45, 19)  ♯1_{2}^{6}  M6–31
K6–034 Σ(49, 18)  L(49, 18)  ♯1_{2}^{6}  M6–34
K6–035 Σ(50, 19)  L(50, 19)  ♯1_{2}^{6}  M6–35
K6–036 Σ(55, 21)  L(55, 21)  ♯1_{2}^{6}  M6–36
K6–037  L(20, 9)  reducible  ♯3_{2} + ♯1_{1}^{3}
K6–038  S^{3}/Q_{20}  reducible  ♯3_{2} + ♯1_{1}^{3}
K6–039  S^{3}/Q_{16} × ℤ_{5} S^{2}(0; (2, 1), (2, 1), (4, 1))  ♯3_{2} + ♯1_{1}^{3}  M6–51A
K6–040  S^{3}/D_{80}  S^{2}(−1; (2, 1), (2, 1), (5, 4))  ♯3_{2} + ♯1_{1}^{3}  M6–41A
K6–041  S^{3}/Q_{12} × ℤ_{7} S^{2}(1; (2, 1), (2, 1), (3, 1))  ♯3_{2} + ♯1_{1}^{3}  M6–47A
K6–042  S^{3}/Q_{32} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (8, 3))  ♯3_{2} + ♯1_{1}^{3}  M6–39A
K6–043  S^{3}/Q_{16} × ℤ_{7} S^{2}(0; (2, 1), (2, 1), (4, 3))  ♯3_{2} + ♯1_{1}^{3}  M6–48A
K6–044  S^{3}/D_{112}  S^{2}(−1; (2, 1), (2, 1), (7, 4))  ♯3_{2} + ♯1_{1}^{3}  M6–44A
K6–045  S^{3}/Q_{8} × ℤ_{7} S^{2}(2; (2, 1), (2, 1), (2, 1))  ♯3_{2} + ♯1_{1}^{3}  M6–45A
K6–046  S^{3}/D_{56}  S^{2}(−1; (2, 1), (2, 1), (7, 2))  ♯3_{2} + ♯1_{1}^{3}  M6–38A
K6–047  S^{3}/Q_{20} × ℤ_{7} S^{2}(0; (2, 1), (2, 1), (5, 2))  ♯3_{2} + ♯1_{1}^{3}  M6–50A
K6–048  S^{3}/Q_{28} × ℤ_{5} S^{2}(−1; (2, 1), (2, 1), (7, 5))  ♯3_{2} + ♯1_{1}^{3}  M6–42A
K6–049  S^{3}/D_{96}  S^{2}(1; (2, 1), (2, 1), (3, 2))  ♯3_{2} + ♯1_{1}^{3}  M6–46A
K6–050  S^{3}/Q_{28} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (7, 3))  ♯3_{2} + ♯1_{1}^{3}  M6–40A
K6–051  S^{3}/D_{160}  S^{2}(0(2, 1), (2, 1), (5, 3))  ♯3_{2} + ♯1_{1}^{3}  M6–49A
K6–052  S^{3}/Q_{32} × ℤ_{5} S^{2}(−1; (2, 1), (2, 1), (8, 5))  ♯3_{2} + ♯1_{1}^{3}  M6–43A
K6–053  L(13, 2)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–054  L(23, 7)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–056  L(20, 9)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–057  L(23, 7)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–058  S^{3}/Q_{12} × ℤ_{7} S^{2}(1; (2, 1), (2, 1), (3, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–47B
K6–059 L(22, 5) reducible ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–060  S^{3}/P_{24} × ℤ_{7} S^{2}(0; (2, 1), (3, 1), (3, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–57A
K6–061  L(31, 12)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–062  L(34, 13)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–063  S^{3}/Q_{16} × ℤ_{5} S^{2}(0; (2, 1), (2, 1), (4, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–51B
K6–064  S^{3}/P_{48}  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–065  S^{3}/P_{216}  S^{2}(0; (2, 1), (3, 2), (3, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–56A
K6–066  S^{3}/Q_{16} × ℤ_{7} S^{2}(0; (2, 1), (2, 1), (4, 3)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–48B
K6–067  S^{3}/P_{48} × ℤ_{7} S^{2}(−1; (2, 1), (3, 1), (4, 3)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–53A

v name DSname  manifold  etc  generator  Matveev
K6–068  S^{3}/P_{48} × ℤ_{5} S^{2}(−1; (2, 1), (3, 2), (4, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–55A
K6–069  S^{3}/P_{48} × ℤ_{11} S^{2}(−1; (2, 1), (3, 2), (4, 3)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–60
K6–070  L(20, 9)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–071  L(34, 13)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–072  S^{3}/Q_{8} × ℤ_{7}  S^{2}(2; (2, 1), (2, 1), (2, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–45B
K6–073  S^{3}/D_{96}  S^{2}(1; (2, 1), (2, 1), (3, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–46B
K6–074  S^{3}/Q_{12} × ℤ_{7}  ⇒K6–118, T6–058  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–47D?
K6–075  L(29, 8)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–076  S^{3}/P_{216}  S^{2}(0; (2, 1), (3, 2), (3, 1)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–56B
K6–077  L(26, 7)  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–078  S^{3}/D_{96}  S^{2}(1; (2, 1), (2, 1), (3, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–46C
K6–079  S^{3}/P_{24} × ℤ_{11} S^{2}(0; (2, 1), (3, 2), (3, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–58A
K6–080  S^{3}/Q_{20} × ℤ_{7} S^{2}(0; (2, 1), (2, 1), (5, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–50B
K6–081  S^{3}/P_{120} × ℤ_{7} S^{2}(−1; (2, 1), (3, 1), (5, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–52A
K6–082 S^{3}/D_{160} S^{2}(0; (2, 1), (2, 1), (5, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–49B
K6–083  S^{3}/P_{120} × ℤ_{13} S^{2}(−1; (2, 1), (3, 1), (5, 3)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–54A
K6–084  S^{3}/P_{120} × ℤ_{17} S^{2}(−1; (2, 1), (3, 2), (5, 2)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–61
K6–085  S^{3}/P_{120} × ℤ_{23} S^{2}(−1; (2, 1), (3, 2), (5, 3)) ♯3_{1} + ♯1_{1}^{2} + ♯1_{1} M6–59
K6–086  S^{3}/Q_{20}  reducible  ♯3_{1} + ♯1_{1}^{2} + ♯1_{1}
K6–087  S^{3}/Q_{32} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (8, 3))  T4–1 + ♯1_{1}^{2}  M6–39B
K6–088  S^{3}/D_{80}  S^{2}(−1; (2, 1), (2, 1), (5, 4))  T4–1 + ♯1_{1}^{2}  M6–41B
K6–089  S^{3}/D_{112}  S^{2}(−1; (2, 1), (2, 1), (7, 4))  T4–1 + ♯1_{1}^{2}  M6–44B
K6–090  S^{3}/D_{56}  S^{2}(−1; (2, 1), (2, 1), (7, 2))  T4–1 + ♯1_{1}^{2}  M6–38B
K6–091  S^{3}/Q_{28} × ℤ_{3} S^{2}(−1; (2, 1), (2, 1), (7, 3))  T4–1 + ♯1_{1}^{2}  M6–40B
K6–092  S^{3}/Q_{28} × ℤ_{5} S^{2}(−1; (2, 1), (2, 1), (7, 5))  T4–1 + ♯1_{1}^{2}  M6–42B
K6–093  S^{3}/Q_{32} × ℤ_{5} S^{2}(−1; (2, 1), (2, 1), (8, 5))  T4–1 + ♯1_{1}^{2}  M6–43B
K6–094  S^{3}/D_{24}  reducible  T5–1_{1} + ♯1_{1} >
K6–095  L(13, 5)  reducible  T5–1_{1} + ♯1_{1} >
K6–096  L(5, 1)  reducible  T5–1_{1} + ♯1_{1} >
K6–097  P^{3}  reducible  T5–1_{1} + ♯1_{1} >
K6–098  S^{3}/D_{48}  reducible  T5–1_{1} + ♯1_{1} >
K6–099  S^{3}/P_{48}  reducible  T5–2 + ♯1_{1}⇒
K6–100  L(17, 5)  reducible  T5–1_{1} + ♯1_{1} >
K6–101  L(15, 4)  reducible  T5–1_{1} + ♯1_{1} >
K6–102  L(13, 2)  reducible  T5–1_{1} + ♯1_{1} >
K6–103  L(18, 5)  reducible  T5–1_{1} + ♯1_{1} >
K6–104  L(17, 5)  reducible  T5–1_{1} + ♯1_{1} >
K6–105  S^{3}/P_{120} × ℤ_{7} S^{2}(−1; (2, 1), (3, 1), (5, 2)) T5–2 + ♯1_{1}⇒ M6–52B

v name DSname  manifold  etc  generator  Matveev
K6–106  S^{3}/P_{48} × ℤ_{7}  S^{2}(−1; (2, 1), (3, 1), (4, 3))  T5–2 + ♯1_{1}⇒ M6–53B
K6–107  S^{3}/P_{120} × ℤ_{13}  S^{2}(−1; (2, 1), (3, 1), (5, 3))  T5–2 + ♯1_{1}⇒ M6–54B
K6–108  L(8, 1)  reducible  ♯3 + 3♯_{1}
K6–109  L(13, 2)  reducible  ♯3 + 3♯_{1}
K6–110  L(17, 3)  reducible  ♯3 + 3♯_{1}
K6–111  L(20, 9)  reducible  ♯3 + 3♯_{1}
K6–112  L(17, 3)  reducible  ♯3 + 3♯_{1}
K6–113  L(34, 13)  reducible  ♯3 + 3♯_{1}
K6–114  L(27, 8)  reducible  ♯3 + 3♯_{1}
K6–115  L(34, 13)  reducible  ♯3 + 3♯_{1}
K6–116  S^{3}/Q_{8} × ℤ_{7}  S^{2}(2; (2, 1), (2, 1), (2, 1))  ♯3 + 3♯1_{1}  M6–45C
K6–117  L(30, 11)  reducible  ♯3 + 3♯_{1}
K6–118  S^{3}/Q_{12} × ℤ_{7}  S^{2}(1; (2, 1), (2, 1), (3, 1))  ♯3 + 3♯1_{1}  M6–47C
K6–119  S^{3}/P_{24} × ℤ_{7}  S^{2}(0; (2, 1), (2, 1), (3, 1))  ♯3 + 3♯1_{1}  M6–57B
K6–120  T^{2} × I/(0, 1, −1, −1)  S^{2}(−1; (3, 1), (3, 1), (3, 1))  ♯3 + 3♯1_{1}  M6–65B
K6–121  L(27, 8)  reducible  ♯3 + 3♯_{1}
K6–122  S^{3}/D_{96}  S^{2}(1; (2, 1), (2, 1), (3, 2))  ♯3 + 3♯1_{1}  M6–46D
K6–123  S^{3}/D_{216}  S^{2}(0; (2, 1), (3, 2), (3, 1))  ♯3 + 3♯1_{1}  M6–56C
K6–124  S^{2}(−1; (3, 2), (3, 1), (3, 1))  ♯3 + 3♯1_{1}  M6–63
K6–125  S^{3}/P_{24} × ℤ_{11}  ⇒K6–079  ♯3 + 3♯_{1}  M6–58B?
K6–126  S^{2}(−1; (3, 2), (3, 2), (3, 1))  ♯3 + 3♯1_{1}  M6–62
K6–127  S^{2}(−1; (3, 2), (3, 2), (3, 2))  ♯3 + 3♯1_{1}  M6–64
K6–128  S^{3}/Q_{20}  reducible  T5–3 + ♯_{1}⇒
K6–129  S^{3}/D_{56}  S^{2}(−1; (2, 1), (2, 1), (7, 2))  T5–3 + ♯_{1}⇒ M6–38C
K6–130  S^{3}/Q_{32} × ℤ_{3}  S^{2}(−1; (2, 1), (2, 1), (8, 3))  T5–3 + ♯1_{1}⇒ M6–39C
K6–131  S^{3}/Q_{28} × ℤ_{3}  S^{2}(−1; (2, 1), (2, 1), (7, 3))  T5–3 + ♯1_{1}⇒ M6–40C
K6–132  2K ×_{τ} I/(1, 0, 0, 1) S^{2}(−2; (2, 1), (2, 1), (2, 1), (2, 1))  ♯3_{1} + ♯3_{1}  M6–68B
K6–133  2K ×_{τ} I/(0, 1, 1, 0)  P^{2}(−1; (2, 1), (2, 1))  ♯3_{1} + ♯3_{1}  M6–72C
K6–134  2K ×_{τ} I/(−1, 1, −1, 0)  P^{2}(0; (2, 1), (2, 1))  ♯3_{1} + ♯3_{1}  M6–74A
K6–135  T × I/(−1, 0, −1, −1)  K^{2}(1)  ♯3_{1} + ♯3_{1}  M6–71B
K6–136  2K ×_{τ} I/(−1, 0, −1, 1) S^{2}(−1; (2, 1), (2, 1), (2, 1), (2, 1))  ♯3_{1} + ♯3_{1}  M6–73
K6–137 Σ(Q_{24})  S^{3}/Q_{24}  S^{2}(−1; (2, 1), (2, 1), (6, 1))  T6–15  M6–37
K6–138  S^{3}/P_{120}  reducible  T6–16 >
K6–139  L(13, 2)  reducible  T6–02_{1}⇒
K6–140  L(14, 3)  reducible  T6–02_{1}⇒
K6–141  S^{3}/P_{48} × ℤ_{3}  S^{2}(−1; (2, 1), (3, 2), (4, 1))  T6–02_{1}⇒  M6–55B
K6–142  S^{3}/Q_{8} × ℤ_{3}  reducible  T6–17 >
K6–143  S^{3}/Q_{16} × ℤ_{3}  reducible  T6–18 >

v name DSname  manifold  etc  generator Matveev
K6–144  T × I(0, 1, −1, 0)  S^{2}(−1; (2, 1), (4, 1), (4, 1))  T6–19  M6–69B
K6–145  S^{3}/D_{56}  S^{2}(−1; (2, 1), (2, 1), (7, 2))  T6–03_{1}⇒ M6–38D
K6–146  S^{3}/P_{72}  reducible  T6–04_{2} >
K6–147  S^{3}/P_{24} × ℤ_{5}  reducible  T6–05_{2} >
K6–148  S^{3}/P_{24} × ℤ_{5}  reducible  T6–04_{2} >
K6–149  2K ×_{τ} I/(0, 1, 1, 0)  P^{2}(−1; (2, 1), (2, 1))  T6–06_{1}⇒ M6–72D
K6–150  S^{3}/P_{120} × ℤ_{7}  S^{2}(−1; (2, 1), (3, 1), (5, 2))  T6–07_{1}⇒ M6–52C
K6–151  2K ×_{τ} I/(−1, 1, −1, 0)  P^{2}(0; (2, 1), (2, 1))  T6–08_{2}  M6–74B
K6–152  S^{3}/P_{120}  reducible  T6–20 >
K6–153  S^{3}/P_{24}  reducible  T6–09_{2} >
K6–154  S^{3}/P_{72}  reducible  T6–09_{2} >
K6–155  S^{3}/P_{24} × ℤ_{5}  reducible  T6–09_{2} >
K6–156  S^{3}/D_{24}  reducible  T6–21 >
K6–157  S^{3}/P_{72}  reducible  T6–10_{1} >
K6–158  L(11, 3)  reducible  T6–11_{2} >
K6–159  L(13, 5)  reducible  T6–11_{2} >
K6–160  2K ×_{τ} I/(0, 1, 1, 0)  P^{2}(−1; (2, 1), (2, 1))  T6–12_{2}⇒ M6–72B
K6–161  2K ×_{τ} I/(1, 0, 0, 1) S^{2}(−2; (2, 1), (2, 1), (2, 1), (2, 1)) T6–22  M6–68A
K6–162  2K ×_{τ} I/(1, 0, 0, 1) S^{2}(−2; (2, 1), (2, 1), (2, 1), (2, 1)) T6–13_{4}
K6–163  2K ×_{τ} I/(0, 1, 1, 0)  P^{2}(−1; (2, 1), (2, 1))  T6–14_{4}  M6–72A
K6–164  T × I/(1, 0, 0, 1)  T^{2}(0)  T6–23  M6–66
K6–165  T × I/(1, −1, 1, 0)  S^{2}(−1; (2, 1), (3, 1), (6, 1))  T6–24  M6–67
K6–166  T × I/(0, 1, −1, −1)  S2(−1; (3, 1), (3, 1), (3, 1))  T6–25⇒ M6–65A?
K6–167  T × I/(0, 1, −1, 0)  S^{2}(−1; (2, 1), (4, 1), (4, 1))  T6–26  M6–69A
K6–168  T × I/(1, 0, 1, 1)  T^{2}(1)  T6–27  M6–70
K6–169  T × I/(−1, 0, −1, −1)  K^{2}(1)  T6–28  M6–71A