ppDS-diagram0-6


4-gon‚ฬˆฺ“ฎ
[3] [4] [5] [6] [bottom]
K-1$\Sigma(1,0)$C-Š๙–๑
K-2$\Sigma(2,1)$C-Š๙–๑
K0-1$\Sigma(0,1)$C-Š๙–๑
K0-2$\Sigma(3,1)$C-Š๙–๑
K1-1 $\Sigma(4,1)$C-Š๙–๑ → K0-1,K0-2
K1-2$\Sigma(5,2)$C-Š๙–๑
K2-1`K2-3lens spaceC-Š๙–๑
$\Sigma(5,1)$ (K2-1), $\Sigma(7,2)$ (K2-2), $\Sigma(8,3)$ (K2-3),
K2-4 $Q_8$C-Š๙–๑
L2-1 $B(2,3,2)$not C-irr → K0-2
K3-1`6 lens spaceC-Š๙–๑
$\Sigma(6,1)$ (K3-1), $\Sigma(10,3)$ (K3-2), $\Sigma(9,2)$ (K3-3), $\Sigma(11,3)$ (K3-4), $\Sigma(12,5)$ (K3-5), $\Sigma(13,5)$ (K3-6)
K3-7$Q_{12}$C-Š๙–๑
L3-1$B(2,3,3)$not C-irr → K2-4[Q_8]
K4-1`K10 lens spaceC-Š๙–๑
$\Sigma(7,1)$ (K4-1), $\Sigma(13,3)$ (K4-2), $\Sigma(15,4)$ (K4-3), $\Sigma(11,2)$ (K4-4), $\Sigma(14,3)$ (K4-5), $\Sigma(17,5)$ (K4-6), $\Sigma(18,5)$ (K4-7), $\Sigma(16,7)$ (K4-8), $\Sigma(19,7)$ (K4-9), $\Sigma(21,8)$ (K4-10)
K4-11 → R2 K3-5 not C-irr
→ 4-move & 3-move K3-5
K4-12 → R2 K3-7 not C-irr
K4-13 $S^3/Q_8\times Z_3$C-Š๙–๑
K4-14 $S^3/D_{24}$C-Š๙–๑
K4-15 $S^3/Q_{16}$C-Š๙–๑
gm01 (4bm) T4-1 → #3_2+#1 generetor‚ฬ•ฯŒ`
K4-16 → gm01 K4-14 C-irr
K4-17 $S^3/P_{24}$C-Š๙–๑
K5-01`K20 lens spaceC-Š๙–๑
$\Sigma(8,1)$, $\Sigma(16,3)$, $\Sigma(17,4)$, $\Sigma(19,4)$, $\Sigma(24,7)$, $\Sigma(25,7)$, $\Sigma(13,2)$, $\Sigma(17,3)$, $\Sigma(23,7)$, $\Sigma(22,5)$, $\Sigma(23,5)$, $\Sigma(30,11)$, $\Sigma(31,12)$, $\Sigma(29,12)$, $\Sigma(20,9)$, $\Sigma(34,13)$, $\Sigma(29,8)$, $\Sigma(27,8)$, $\Sigma(26,7)$, $\Sigma(25,9)$
m01 →
K5-21 → m01 K4-08 not C-irr
m02 →
→4-moveK5-30
K5-22 → m02 K4-15 not C-irr
K5-23 $S^3/D_{48}$ [*]C-Š๙–๑
K5-24 $S^3/Q_{16}\times Z_3$C-Š๙–๑
K5-25 $S^3/Q_8\times Z_5$C-Š๙–๑
K5-26 $S^3/D_{40}$C-Š๙–๑
K5-27 $S^3/Q_{12}\times Z_5$C-Š๙–๑
K5-28 $S^3/Q_{20}\times Z_3$C-Š๙–๑
K5-29 → R4 K4-04 not C-irr
K5-30 → R3 K4-08 not C-irr
→4-move&3-move K4-08
K5-31 → R2 K4-06 not C-irr
K5-32 → 4bm reducible not stlongly C-irr
→ m02 K4-09 not C-irr
K5-33 → 4bm K5-25 C-irr
K5-34 → 4bm K5-23 C-irr
m03 →
K5-35 → m03 K4-17 not C-irr
K5-36 $S^3/P_{72}$C-Š๙–๑
K5-37 → K5-27 C-irr
K5-38 $S^3/P_{24}\times Z_5$C-Š๙–๑
K5-39 → gm01 K5-22
→ 3b K4-15 not C-irr
K5-40 → gm01 K5-26 C-irr
K5-41 → gm01 K5-24 C-irr
K5-42 → gm01 K5-28 C-irr
K5-43 $S^3/Q_{20}$C-Š๙–๑
gm02 (4bm) T5-1 → reducible generetor‚ฬ•ฯŒ`
K5-44 → gm02 reducible
→ 2b K3-2 not C-irr
K5-45 → gm02 reducible
→ 3b, R2 K3-35 not C-irr
K5-46 [T5-5] $S^3/P_{48}$C-Š๙–๑
gm03 T5-2 → #3_1+#1_1+#1 generetor‚ฬ•ฯŒ`
K5-47 → gm03 K5-36 C-irr
gm04 (4bm) T5-3 → T4-1+#1 generetor‚ฬ•ฯŒ`
K5-48 → gm04 K5-26 C-irr
K5-49 [T5-6] → 4bm K5-46C-irr
K5-50 [T5-7] $S^3/P_{120}$C-Š๙–๑
K6-001`K036lens spaceC-Š๙–๑
$\Sigma(9,1)$, $\Sigma(19,3)$, $\Sigma(21,4)$, $\Sigma(23,4)$, $\Sigma(33,10)$, $\Sigma(31,7)$, $\Sigma(24,5)$, $\Sigma(32,7)$, $\Sigma(37,10)$, $\Sigma(40,11)$, $\Sigma(15,2)$, $\Sigma(20,3)$, $\Sigma(29,9)$, $\Sigma(27,5)$, $\Sigma(30,7)$, $\Sigma(28,5)$, $\Sigma(36,11)$, $\Sigma(35,8)$, $\Sigma(34,9)$, $\Sigma(33,7)$, $\Sigma(41,12)$, $\Sigma(37,8)$, $\Sigma(44,13)$, $\Sigma(41,11)$, $\Sigma(43,12)$, $\Sigma(47,13)$, $\Sigma(24,11)$, $\Sigma(31,11)$, $\Sigma(39,16)$, $\Sigma(39,14)$, $\Sigma(41,16)$, $\Sigma(46,17)$, $\Sigma(45,19)$, $\Sigma(49,18)$, $\Sigma(50,19)$, $\Sigma(55,21)$
K6-037 → m01 K5-15 not C-irr
K6-38 → m02 K5-43 not C-irr
K6-039 $S^3/Q_{16}\times Z_5$C-Š๙–๑
K6-040 $S^3/D_{80}$C-Š๙–๑
K6-041 $S^3/Q_{12}\times Z_7$C-Š๙–๑
K6-042 $S^3/Q_{32}\times Z_3$C-Š๙–๑
K6-043 $S^3/Q_{16}\times Z_7$C-Š๙–๑
K6-044 $S^3/D_{112}$C-Š๙–๑
K6-045 $S^3/Q_8\times Z_7$C-Š๙–๑
K6-046 $S^3/D_{56}$C-Š๙–๑
K6-047 $S^3/Q_{20}\times Z_7$C-Š๙–๑
K6-048 $S^3/Q_{28}\times Z_5$C-Š๙–๑
K6-049 $S^3/D_{96}$C-Š๙–๑
K6-050 $S^3/Q_{28}\times Z_3$C-Š๙–๑
K6-051 $S^3/D_{160}$C-Š๙–๑
K6-052 $S^3/Q_{32}\times Z_5$C-Š๙–๑
K6-053 → 2b K5-07 not C-irr
K6-054 → 3b K5-09 not C-irr
K6-055 → 3b K5-15 not C-irr
K6-056 → m01 K5-09 not C-irr
K6-057 → 4bm K6-041 C-irr
K6-058 → 4b,R2*2 K5-10 not C-irr
K6-059 $S^3/P_{24}\times Z_7$C-Š๙–๑
K6-060 → b4, R2 K5-13 not C-irr
K6-061 → m01 K5-16 not C-irr
K6-062 → 4bm K6-039 C-irr
K6-063 → ?? K5-46 not C-irr
K6-064 $S^3/P_{216}$C-Š๙–๑
K6-065 → 4bm K6-043 C-irr
K6-066 $S^3/P_{48}\times Z_7$C-Š๙–๑
K6-067 $S^3/P_{48}\times Z_5$C-Š๙–๑
K6-068 $S^3/P_{48}\times Z_{11}$C-Š๙–๑
K6-060 → 3b K5-15 not C-irr
K6-070 → 3b K5-16 not C-irr
K6-071 → 4bm K6-045 C-irr
K6-072 → 4bm K6-049 C-irr
→ 4bm K6-077 C-irr
K6-073 → 4bm K6-041 C-irr
K6-074 → m01 K5-17 not C-irr
K6-075 → 4bm K6-064 C-irr
K6-076 → m01 K5-19 not C-irr
K6-077 → 4bm K6-049 C-irr
→ 4bm K6-072 C-irr
K6-078 $S^3/P_{24}\times Z_{11}$C-Š๙–๑
K6-079 → 4bm K6-047 C-irr
K6-080 $S^3/P_{120}\times Z_7$C-Š๙–๑
K6-081 → 4bm K6-051 C-irr
K6-082 $S^3/P_{120}\times Z_{13}$C-Š๙–๑
K6-083 $S^3/P_{120}\times Z_{17}$C-Š๙–๑
K6-084 $S^3/P_{120}\times Z_{23}$C-Š๙–๑
K6-085 → 3b K5-43 not C-irr
K6-086 → 4bm K6-042 C-irr
K6-087 → 4bm K6-040 C-irr
K6-088 → 4bm K6-044 C-irr
K6-089 → 4bm K6-046 C-irr
K6-090 → 4bm K6-050 C-irr
K6-091 → 4bm K6-048 C-irr
K6-092 → 4bm K6-052 C-irr
gm05 T6-01 → #3+#1^2_1 generetor‚ฬ•ฯŒ`
gm06 T6-02 → #3_1+#1^2_1+#1 generetor‚ฬ•ฯŒ`
gm07 (4bm) T6-03 → T5-3+#1 generetor‚ฬ•ฯŒ`
gm08 (4bm) T6-04 → reducible generetor‚ฬ•ฯŒ`
ซ ช
gm09 (4bm) T6-05 → reducible generetor‚ฬ•ฯŒ`
K6-093 $S^3/D_{24}$
K6-094 $L(13,5)$
K6-095 $L(5,1)$
K6-096 $P^3$
K6-097 $S^3/D_{48}$
K6-098 $S^3/P_{48}$
K6-099 $L(17,5)$
K6-100 $L(15,4)$
K6-101 $L(13,3)$
K6-102 $L(18,5)$
K6-103 $L(17,5)$
K6-104 $S^3/P_{120}\times Z_7$
K6-105 $S^3/P_{48}\times Z_7$
K6-106 $S^3/P_{120}\times Z_{13}$
K6-107 $L(8,1)$
K6-108 $L(13,2)$
K6-109 $L(16,3)$
K6-110 $L(20,9)$
K6-111 $L(17,3)$
K6-112 $L(23,7)$
K6-113 $L(30,11)$
K6-114 $L(25,9)$
K6-115 $S^3/Q_8\times Z_7$
K6-116 $L(27,8)$
K6-117 $S^3/Q_{12}\times Z_7$
K6-118 $S^3/P_{24}\times Z_7$
K6-119 $T^2\times I/(0,1,-1,-1)$;$S^2(-1;(3,1),(3,1),(3,1))$
K6-120 $L(30,11)$
K6-121 $S^3/D_{96}$
K6-122 $S^3/P_{216}$
K6-123 $S^2(-1;(3,2),(3,1),(3,1))$
K6-124 $S^3/P_{24}\times Z_{11}$
K6-125 $S^2(-1;(3,2),(3,2),(3,1))$
K6-126 $S^2(-1;(3,2),(3,2),(3,2))$
K6-127 $S^3/Q_{20}$
K6-128 $S^3/D_{56}$
K6-129 $S^3/Q_{32}\times Z_3$
K6-130 $S^3/Q_{28}\times Z_3$
K6-131 $2K\times_\tau I/(1,0,0,1)$
K6-132 $2K\times_\tau I/(0,1,1,0)$
K6-133 $2K\times_\tau I/(-1,1,-1,0)$
K6-134 $T\times I/(-1,0,-1,-1)$
K6-135 $2K\times_\tau I/(-1,0,-1,1)$
K6-136 $S^3/Q_{24}$
K6-137 $S^3/P_{120}$
K6-138 $L(13,3)$→3-pt 2-b K4-02
K6-139 $L(14,3)$
K6-140 $S^3/P_{48}\times Z_5$
K6-141 $S^3/Q_8\times Z_3$
K6-142 $S^3/Q_{16}\times Z_3$
K6-143 $T\times I/(0,1,-1,0)$
K6-144 $S^3/D_{56}$
K6-145 $S^3/P_{72}$
K6-146 $S^3/P_{24}\times Z_5$
K6-147 $S^3/P_{24}\times Z_5$
K6-148 $2K\times_\tau I/(0,1,1,0)$
K6-149 $S^3/P_{120}\times Z_7$
K6-150 $2K\times_\tau I/(-1,1,-1,0)$
K6-151 $S^3/P_{120}$
K6-152 $S^3/P_{24}$
K6-153 $S^3/P_{72}$
K6-154 $S^3/P_{24}\times Z_5$
K6-155 $S^3/D_{24}$
K6-156 $S^3/P_{72}$
K6-157 $L(11,3)$
K6-158 $L(13,5)$
K6-159 $2K\times_\tau I/(0,1,1,0)$
K6-160 $2K\times_\tau I/(1,0,0,1)$
K6-161 $2K\times_\tau I/(1,0,0,1)$
K6-162 $2K\times_\tau I/(0,1,1,0)$
K6-163$T^2\times S^1$ incompressible torus cut ‚ต‚ฝ DS
K6-164 $T\times I/(1,-1,1,0)$
K6-165 $T\times I/(0,1,-1,-1)$
K6-166 $T\times I/(0,1,-1,0)$
K6-167 $T\times I/(1,0,1,1)$
K6-168 $T\times I/(-1,0,-1,-1)$
K8-2152[T8-197] → K8-2390[T8-270]
K8-2410[T8-277] → reducible not C-irr
Last modified: 2023/12/25 05:37