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Signed matching polynomials of connected graphs
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Polynomials
$G$ 
$\mu(G,x)$
@:
x
comment: This is the complete graph $K_1$.
A_:
x^2 - 1
comment: This is the complete graph $K_2$.
BW:
x^3 - 2*x
comment: This is the path $P_3$.
Bw:
x^3 - 3*x
comment: This is the complete graph $K_3$.
CF:
x^4 - 3*x^2
comment: This is the star $K_{1,3}$.
CL:
x^4 - 3*x^2 + 1
comment: This is the path $P_4$.
CN:
x^4 - 4*x^2 + 1
C]:
x^4 - 4*x^2 + 2
comment: This is the cycle $C_4$.
C^:
x^4 - 5*x^2 + 2
comment: This is the diamond graph.
C~:
x^4 - 6*x^2 + 3
comment: This is the complete graph $K_4$.
D?{:
x^5 - 4*x^3
comment: This is the star $K_{1,4}$.
D@s:
x^5 - 4*x^3 + 2*x
D@{:
x^5 - 5*x^3 + 2*x
DIk:
x^5 - 5*x^3 + 4*x
DBk:
x^5 - 5*x^3 + 3*x
comment: This is the bull graph.
DB{:
x^5 - 6*x^3 + 4*x
comment: This is the dart graph.
DFw:
x^5 - 6*x^3 + 6*x
comment: This is the complete bipartite graph $K_{2,3}$.
DF{:
x^5 - 7*x^3 + 6*x
DBg:
x^5 - 4*x^3 + 3*x
comment: This is the path $P_5$.
DK[:
x^5 - 5*x^3 + 4*x
DK{:
x^5 - 6*x^3 + 5*x
comment: This is the butterfly graph.
DLo:
x^5 - 5*x^3 + 5*x
comment: This is the cycle $C_5$.
Dbk:
x^5 - 6*x^3 + 6*x
comment: This is the house graph.
DL{:
x^5 - 7*x^3 + 7*x
DJk:
x^5 - 6*x^3 + 5*x
DJ{:
x^5 - 7*x^3 + 6*x
DN{:
x^5 - 8*x^3 + 9*x
comment: This is the house X graph.
DNw:
x^5 - 7*x^3 + 8*x
D]{:
x^5 - 8*x^3 + 10*x
comment: This is the wheel $W_5$.
D^{:
x^5 - 9*x^3 + 12*x
D~{:
x^5 - 10*x^3 + 15*x
comment: This is the complete graph $K_5$.
E?Bw:
x^6 - 5*x^4
comment: This is the star $K_{1,5}$.
E?Fg:
x^6 - 5*x^4 + 3*x^2
E?Fw:
x^6 - 6*x^4 + 3*x^2
E@FG:
x^6 - 5*x^4 + 5*x^2
E?NG:
x^6 - 5*x^4 + 4*x^2
E@JW:
x^6 - 6*x^4 + 6*x^2
E?NW:
x^6 - 6*x^4 + 5*x^2
E?Nw:
x^6 - 7*x^4 + 6*x^2
E?]o:
x^6 - 6*x^4 + 7*x^2
E?^o:
x^6 - 7*x^4 + 9*x^2
E?]w:
x^6 - 7*x^4 + 7*x^2
E?^w:
x^6 - 8*x^4 + 9*x^2
E?~o:
x^6 - 8*x^4 + 12*x^2
comment: This is the complete bipartite graph $K_{2,4}$.
E?~w:
x^6 - 9*x^4 + 12*x^2
E@QW:
x^6 - 5*x^4 + 5*x^2 - 1
E@`w:
x^6 - 6*x^4 + 6*x^2 - 1
E@Rw:
x^6 - 7*x^4 + 7*x^2 - 1
E@YW:
x^6 - 6*x^4 + 7*x^2 - 1
EHQW:
x^6 - 6*x^4 + 8*x^2 - 1
E@UW:
x^6 - 6*x^4 + 6*x^2 - 1
EGNW:
x^6 - 7*x^4 + 9*x^2 - 1
EAMw:
x^6 - 7*x^4 + 8*x^2 - 1
E@Vw:
x^6 - 8*x^4 + 10*x^2 - 1
E@YO:
x^6 - 5*x^4 + 6*x^2 - 1
comment: This is the path $P_6$.
EI_w:
x^6 - 6*x^4 + 8*x^2 - 2
EGdo:
x^6 - 6*x^4 + 8*x^2 - 1
EGcw:
x^6 - 6*x^4 + 7*x^2 - 1
E@ow:
x^6 - 6*x^4 + 7*x^2
EK`w:
x^6 - 7*x^4 + 10*x^2 - 2
ECXw:
x^6 - 7*x^4 + 9*x^2 - 2
EGdw:
x^6 - 7*x^4 + 9*x^2 - 1
E_Nw:
x^6 - 8*x^4 + 11*x^2 - 2
E@NW:
x^6 - 7*x^4 + 8*x^2
E@Nw:
x^6 - 8*x^4 + 9*x^2
E_]o:
x^6 - 7*x^4 + 11*x^2 - 2
EENg:
x^6 - 8*x^4 + 13*x^2 - 2
EC\w:
x^6 - 8*x^4 + 11*x^2 - 2
E@^W:
x^6 - 8*x^4 + 11*x^2 - 1
E_]w:
x^6 - 8*x^4 + 12*x^2 - 2
E@vw:
x^6 - 9*x^4 + 14*x^2 - 2
E@^o:
x^6 - 8*x^4 + 12*x^2 - 1
E@]w:
x^6 - 8*x^4 + 10*x^2 - 1
E@^w:
x^6 - 9*x^4 + 13*x^2 - 1
E@~o:
x^6 - 9*x^4 + 16*x^2 - 2
E@~w:
x^6 - 10*x^4 + 17*x^2 - 2
EBYW:
x^6 - 7*x^4 + 10*x^2 - 2
EBYw:
x^6 - 8*x^4 + 12*x^2 - 2
EBZw:
x^6 - 9*x^4 + 14*x^2 - 2
EIe_:
x^6 - 6*x^4 + 9*x^2 - 2
comment: This is the cycle $C_6$.
EKNG:
x^6 - 7*x^4 + 11*x^2 - 3
EHUW:
x^6 - 7*x^4 + 10*x^2 - 2
EoLW:
x^6 - 7*x^4 + 11*x^2 - 2
E@]o:
x^6 - 7*x^4 + 9*x^2 - 1
EA]o:
x^6 - 7*x^4 + 10*x^2 - 1
EaMw:
x^6 - 8*x^4 + 13*x^2 - 3
EBhw:
x^6 - 8*x^4 + 12*x^2 - 2
EBjW:
x^6 - 8*x^4 + 13*x^2 - 2
EBjw:
x^6 - 9*x^4 + 15*x^2 - 3
EImo:
x^6 - 8*x^4 + 14*x^2 - 4
EJYW:
x^6 - 8*x^4 + 13*x^2 - 2
EIno:
x^6 - 9*x^4 + 17*x^2 - 4
EImw:
x^6 - 9*x^4 + 16*x^2 - 4
EInw:
x^6 - 10*x^4 + 19*x^2 - 4
EI]w:
x^6 - 9*x^4 + 15*x^2 - 2
EB]w:
x^6 - 9*x^4 + 14*x^2 - 2
EB^w:
x^6 - 10*x^4 + 17*x^2 - 2
EHuw:
x^6 - 9*x^4 + 16*x^2 - 3
EBnW:
x^6 - 9*x^4 + 15*x^2 - 2
EBnw:
x^6 - 10*x^4 + 18*x^2 - 3
EB~w:
x^6 - 11*x^4 + 22*x^2 - 4
EFz_:
x^6 - 9*x^4 + 18*x^2 - 6
comment: This is the complete bipartite graph $K_{3,3}$.
Es\w:
x^6 - 10*x^4 + 21*x^2 - 6
EB~o:
x^6 - 10*x^4 + 20*x^2 - 4
EFzw:
x^6 - 11*x^4 + 24*x^2 - 6
EF~w:
x^6 - 12*x^4 + 27*x^2 - 6
EPTW:
x^6 - 7*x^4 + 10*x^2 - 2
E`NG:
x^6 - 7*x^4 + 11*x^2 - 1
E`NW:
x^6 - 8*x^4 + 13*x^2 - 2
E`Lw:
x^6 - 8*x^4 + 12*x^2 - 3
E`Nw:
x^6 - 9*x^4 + 15*x^2 - 3
EJeg:
x^6 - 8*x^4 + 14*x^2 - 2
EJqw:
x^6 - 9*x^4 + 17*x^2 - 3
EK\w:
x^6 - 9*x^4 + 15*x^2 - 3
EK]w:
x^6 - 9*x^4 + 16*x^2 - 3
E`]w:
x^6 - 9*x^4 + 16*x^2 - 4
EK^w:
x^6 - 10*x^4 + 19*x^2 - 4
EK~o:
x^6 - 10*x^4 + 21*x^2 - 4
EK~w:
x^6 - 11*x^4 + 23*x^2 - 5
EBn_:
x^6 - 8*x^4 + 14*x^2 - 3
E`]o:
x^6 - 8*x^4 + 14*x^2 - 3
ELpw:
x^6 - 9*x^4 + 17*x^2 - 4
ELrw:
x^6 - 10*x^4 + 20*x^2 - 5
comment: This is the wheel $W_6$.
ELv_:
x^6 - 9*x^4 + 18*x^2 - 4
Ek]w:
x^6 - 10*x^4 + 21*x^2 - 5
EJnW:
x^6 - 10*x^4 + 20*x^2 - 4
Ebnw:
x^6 - 11*x^4 + 24*x^2 - 6
EL~w:
x^6 - 12*x^4 + 28*x^2 - 7
ER^W:
x^6 - 10*x^4 + 20*x^2 - 5
EJmw:
x^6 - 10*x^4 + 19*x^2 - 4
EJnw:
x^6 - 11*x^4 + 23*x^2 - 5
EJ]w:
x^6 - 10*x^4 + 18*x^2 - 3
EJ^w:
x^6 - 11*x^4 + 21*x^2 - 3
EJ~w:
x^6 - 12*x^4 + 27*x^2 - 6
EN~w:
x^6 - 13*x^4 + 33*x^2 - 9
EL~o:
x^6 - 11*x^4 + 25*x^2 - 6
EJ~o:
x^6 - 11*x^4 + 24*x^2 - 6
Ejmw:
x^6 - 11*x^4 + 25*x^2 - 7
ENzw:
x^6 - 12*x^4 + 29*x^2 - 8
E]~o:
x^6 - 12*x^4 + 30*x^2 - 8
E]~w:
x^6 - 13*x^4 + 34*x^2 - 10
E^~w:
x^6 - 14*x^4 + 39*x^2 - 12
E~~w:
x^6 - 15*x^4 + 45*x^2 - 15
comment: This is the complete graph $K_6$.
F??Fw:
x^7 - 6*x^5
comment: This is the star $K_{1,6}$.
F??Ng:
x^7 - 6*x^5 + 4*x^3
F??Nw:
x^7 - 7*x^5 + 4*x^3
F?CNG:
x^7 - 6*x^5 + 7*x^3
F??^G:
x^7 - 6*x^5 + 6*x^3
F??^o:
x^7 - 7*x^5 + 8*x^3
F??^W:
x^7 - 7*x^5 + 7*x^3
F??^w:
x^7 - 8*x^5 + 8*x^3
F??}O:
x^7 - 6*x^5 + 8*x^3
F??}o:
x^7 - 7*x^5 + 10*x^3
F??}W:
x^7 - 7*x^5 + 8*x^3
F??~o:
x^7 - 8*x^5 + 12*x^3
F??}w:
x^7 - 8*x^5 + 10*x^3
F??~w:
x^7 - 9*x^5 + 12*x^3
F?@|o:
x^7 - 8*x^5 + 13*x^3
F?@~o:
x^7 - 9*x^5 + 16*x^3
F?@|w:
x^7 - 9*x^5 + 13*x^3
F?@~w:
x^7 - 10*x^5 + 16*x^3
F?B~o:
x^7 - 10*x^5 + 20*x^3
comment: This is the complete bipartite graph $K_{2,5}$.
F?B~w:
x^7 - 11*x^5 + 20*x^3
F?CeW:
x^7 - 6*x^5 + 7*x^3 - 2*x
F@?Mw:
x^7 - 7*x^5 + 8*x^3 - 2*x
F?Cfw:
x^7 - 8*x^5 + 9*x^3 - 2*x
F@?]O:
x^7 - 6*x^5 + 9*x^3 - 2*x
F?Cmg:
x^7 - 7*x^5 + 10*x^3 - 2*x
F@?]W:
x^7 - 7*x^5 + 10*x^3 - 2*x
F@CeW:
x^7 - 7*x^5 + 11*x^3 - 2*x
F?CmW:
x^7 - 7*x^5 + 9*x^3 - 2*x
F@?^W:
x^7 - 8*x^5 + 12*x^3 - 2*x
F?G]w:
x^7 - 8*x^5 + 11*x^3 - 2*x
F?Cnw:
x^7 - 9*x^5 + 13*x^3 - 2*x
F@OKg:
x^7 - 6*x^5 + 9*x^3 - 3*x
F?DcW:
x^7 - 6*x^5 + 8*x^3 - 2*x
F@IAw:
x^7 - 7*x^5 + 11*x^3 - 4*x
F@AJo:
x^7 - 7*x^5 + 11*x^3 - 3*x
F@@Kw:
x^7 - 7*x^5 + 10*x^3 - 3*x
F?Dcw:
x^7 - 7*x^5 + 10*x^3 - 2*x
F@PDw:
x^7 - 8*x^5 + 13*x^3 - 4*x
F?_rw:
x^7 - 8*x^5 + 12*x^3 - 4*x
F@@Lw:
x^7 - 8*x^5 + 12*x^3 - 3*x
FG?^w:
x^7 - 9*x^5 + 14*x^3 - 4*x
F?C^G:
x^7 - 7*x^5 + 10*x^3
F?C^W:
x^7 - 8*x^5 + 11*x^3
F?C^w:
x^7 - 9*x^5 + 12*x^3
F@@ko:
x^7 - 7*x^5 + 12*x^3 - 3*x
F?O|o:
x^7 - 8*x^5 + 14*x^3 - 4*x
F?W\g:
x^7 - 8*x^5 + 14*x^3 - 3*x
FG?}o:
x^7 - 8*x^5 + 15*x^3 - 4*x
F?H[w:
x^7 - 8*x^5 + 12*x^3 - 3*x
F?Dkw:
x^7 - 8*x^5 + 12*x^3 - 2*x
F@@kw:
x^7 - 8*x^5 + 13*x^3 - 3*x
F?W^g:
x^7 - 9*x^5 + 17*x^3 - 4*x
F?O|w:
x^7 - 9*x^5 + 15*x^3 - 4*x
F?Dlw:
x^7 - 9*x^5 + 15*x^3 - 3*x
FG?}w:
x^7 - 9*x^5 + 16*x^3 - 4*x
F?Dnw:
x^7 - 10*x^5 + 18*x^3 - 4*x
F?O|_:
x^7 - 7*x^5 + 12*x^3 - 4*x
F@?}O:
x^7 - 7*x^5 + 12*x^3 - 2*x
F?`ro:
x^7 - 8*x^5 + 15*x^3 - 6*x
FGAZo:
x^7 - 8*x^5 + 15*x^3 - 4*x
F?O|g:
x^7 - 8*x^5 + 13*x^3 - 4*x
F@?}W:
x^7 - 8*x^5 + 13*x^3 - 2*x
F_?~o:
x^7 - 9*x^5 + 18*x^3 - 6*x
F?`rw:
x^7 - 9*x^5 + 16*x^3 - 6*x
FGAZw:
x^7 - 9*x^5 + 16*x^3 - 4*x
F_?~w:
x^7 - 10*x^5 + 19*x^3 - 6*x
F?C~O:
x^7 - 8*x^5 + 14*x^3 - 2*x
F@C]W:
x^7 - 8*x^5 + 13*x^3 - 2*x
F?C~o:
x^7 - 9*x^5 + 16*x^3 - 2*x
F?C~W:
x^7 - 9*x^5 + 15*x^3 - 2*x
F?C}w:
x^7 - 9*x^5 + 14*x^3 - 2*x
F?C~w:
x^7 - 10*x^5 + 17*x^3 - 2*x
F?`zo:
x^7 - 9*x^5 + 18*x^3 - 6*x
F?D~O:
x^7 - 9*x^5 + 18*x^3 - 4*x
F_@|o:
x^7 - 9*x^5 + 19*x^3 - 6*x
F?Fno:
x^7 - 10*x^5 + 22*x^3 - 6*x
F?`zw:
x^7 - 10*x^5 + 19*x^3 - 6*x
F?D~W:
x^7 - 10*x^5 + 19*x^3 - 4*x
F_@|w:
x^7 - 10*x^5 + 20*x^3 - 6*x
F?Fnw:
x^7 - 11*x^5 + 23*x^3 - 6*x
F?D|o:
x^7 - 9*x^5 + 17*x^3 - 3*x
F?D~o:
x^7 - 10*x^5 + 21*x^3 - 4*x
F?D|w:
x^7 - 10*x^5 + 18*x^3 - 3*x
F?D~w:
x^7 - 11*x^5 + 22*x^3 - 4*x
F?F~o:
x^7 - 11*x^5 + 26*x^3 - 6*x
F?F~w:
x^7 - 12*x^5 + 27*x^3 - 6*x
F?KuW:
x^7 - 8*x^5 + 14*x^3 - 4*x
F@CmW:
x^7 - 8*x^5 + 14*x^3 - 4*x
F?Kuw:
x^7 - 9*x^5 + 16*x^3 - 4*x
F?Kvw:
x^7 - 10*x^5 + 18*x^3 - 4*x
FICcW:
x^7 - 7*x^5 + 13*x^3 - 5*x
F@HSW:
x^7 - 7*x^5 + 12*x^3 - 4*x
F?_yo:
x^7 - 7*x^5 + 11*x^3 - 3*x
F@O^G:
x^7 - 8*x^5 + 15*x^3 - 6*x
FGG[w:
x^7 - 8*x^5 + 14*x^3 - 5*x
F@Okw:
x^7 - 8*x^5 + 14*x^3 - 5*x
FI?\W:
x^7 - 8*x^5 + 15*x^3 - 5*x
F@O[w:
x^7 - 8*x^5 + 13*x^3 - 4*x
F?StW:
x^7 - 8*x^5 + 14*x^3 - 4*x
FGG]w:
x^7 - 9*x^5 + 17*x^3 - 6*x
F?MRw:
x^7 - 9*x^5 + 16*x^3 - 5*x
F?LVW:
x^7 - 9*x^5 + 17*x^3 - 5*x
F?LVw:
x^7 - 10*x^5 + 19*x^3 - 6*x
FIAHo:
x^7 - 7*x^5 + 13*x^3 - 6*x
F?StG:
x^7 - 7*x^5 + 12*x^3 - 4*x
F@G]G:
x^7 - 7*x^5 + 12*x^3 - 4*x
F?oow:
x^7 - 7*x^5 + 11*x^3 - 2*x
FIa@w:
x^7 - 8*x^5 + 16*x^3 - 8*x
F?org:
x^7 - 8*x^5 + 15*x^3 - 6*x
FIAHw:
x^7 - 8*x^5 + 15*x^3 - 6*x
F?opw:
x^7 - 8*x^5 + 14*x^3 - 4*x
F?YPw:
x^7 - 8*x^5 + 14*x^3 - 4*x
Fo?Zw:
x^7 - 9*x^5 + 18*x^3 - 8*x
F?NBw:
x^7 - 9*x^5 + 17*x^3 - 6*x
F?NFw:
x^7 - 10*x^5 + 20*x^3 - 8*x
F@H[o:
x^7 - 8*x^5 + 15*x^3 - 6*x
F@TTW:
x^7 - 9*x^5 + 19*x^3 - 8*x
F@IZo:
x^7 - 9*x^5 + 18*x^3 - 6*x
F?Tto:
x^7 - 9*x^5 + 19*x^3 - 7*x
F@H[w:
x^7 - 9*x^5 + 17*x^3 - 6*x
F@H^o:
x^7 - 10*x^5 + 22*x^3 - 8*x
F@H]w:
x^7 - 10*x^5 + 21*x^3 - 8*x
F@H\w:
x^7 - 10*x^5 + 20*x^3 - 6*x
F@Dmw:
x^7 - 10*x^5 + 21*x^3 - 7*x
F@H^w:
x^7 - 11*x^5 + 24*x^3 - 8*x
Fo?yo:
x^7 - 8*x^5 + 17*x^3 - 8*x
F?L^?:
x^7 - 8*x^5 + 16*x^3 - 5*x
F?[uG:
x^7 - 8*x^5 + 16*x^3 - 6*x
F_LLg:
x^7 - 9*x^5 + 20*x^3 - 10*x
F?Uro:
x^7 - 9*x^5 + 19*x^3 - 7*x
F?]Rg:
x^7 - 9*x^5 + 19*x^3 - 8*x
F?svG:
x^7 - 9*x^5 + 20*x^3 - 8*x
FADlW:
x^7 - 9*x^5 + 18*x^3 - 7*x
FCDjW:
x^7 - 9*x^5 + 18*x^3 - 8*x
Fo?yw:
x^7 - 9*x^5 + 19*x^3 - 8*x
F?NPw:
x^7 - 9*x^5 + 17*x^3 - 4*x
FEG^W:
x^7 - 10*x^5 + 23*x^3 - 10*x
FCDnW:
x^7 - 10*x^5 + 22*x^3 - 10*x
F@FJw:
x^7 - 10*x^5 + 21*x^3 - 7*x
F?drw:
x^7 - 10*x^5 + 21*x^3 - 8*x
F?NVW:
x^7 - 10*x^5 + 22*x^3 - 8*x
F@FNw:
x^7 - 11*x^5 + 25*x^3 - 10*x
F@KuW:
x^7 - 9*x^5 + 18*x^3 - 4*x
F@G}w:
x^7 - 10*x^5 + 20*x^3 - 4*x
F?K}w:
x^7 - 10*x^5 + 19*x^3 - 4*x
F?K~w:
x^7 - 11*x^5 + 22*x^3 - 4*x
F?L^_:
x^7 - 9*x^5 + 19*x^3 - 6*x
FAEhw:
x^7 - 9*x^5 + 17*x^3 - 5*x
F?L\g:
x^7 - 9*x^5 + 17*x^3 - 5*x
F?L^G:
x^7 - 9*x^5 + 18*x^3 - 5*x
F?L[w:
x^7 - 9*x^5 + 15*x^3 - 4*x
F@D^W:
x^7 - 10*x^5 + 21*x^3 - 6*x
F?S|w:
x^7 - 10*x^5 + 19*x^3 - 5*x
F?L^W:
x^7 - 10*x^5 + 20*x^3 - 5*x
F?L^w:
x^7 - 11*x^5 + 23*x^3 - 6*x
F?NN_:
x^7 - 9*x^5 + 20*x^3 - 8*x
F?drW:
x^7 - 9*x^5 + 18*x^3 - 6*x
F?LuW:
x^7 - 9*x^5 + 18*x^3 - 6*x
F?K}W:
x^7 - 9*x^5 + 16*x^3 - 4*x
F?Lkw:
x^7 - 9*x^5 + 16*x^3 - 4*x
F?NNg:
x^7 - 10*x^5 + 22*x^3 - 8*x
F?NJw:
x^7 - 10*x^5 + 20*x^3 - 6*x
F?NNw:
x^7 - 11*x^5 + 24*x^3 - 8*x
F@J]o:
x^7 - 10*x^5 + 24*x^3 - 12*x
F@J^o:
x^7 - 11*x^5 + 28*x^3 - 12*x
F@J]w:
x^7 - 11*x^5 + 26*x^3 - 12*x
F@J^w:
x^7 - 12*x^5 + 30*x^3 - 12*x
F@H}o:
x^7 - 10*x^5 + 23*x^3 - 8*x
F?L~o:
x^7 - 11*x^5 + 26*x^3 - 8*x
F@H}w:
x^7 - 11*x^5 + 25*x^3 - 8*x
F?L|w:
x^7 - 11*x^5 + 23*x^3 - 6*x
F?L~w:
x^7 - 12*x^5 + 28*x^3 - 8*x
F@Fmo:
x^7 - 10*x^5 + 24*x^3 - 10*x
F?s~g:
x^7 - 11*x^5 + 27*x^3 - 10*x
F@Fmw:
x^7 - 11*x^5 + 26*x^3 - 10*x
F?L}w:
x^7 - 11*x^5 + 24*x^3 - 7*x
F?dzw:
x^7 - 11*x^5 + 24*x^3 - 8*x
F?N^W:
x^7 - 11*x^5 + 25*x^3 - 8*x
F?N^w:
x^7 - 12*x^5 + 29*x^3 - 10*x
F?N~o:
x^7 - 12*x^5 + 32*x^3 - 12*x
F?N~w:
x^7 - 13*x^5 + 34*x^3 - 12*x
FBXcw:
x^7 - 10*x^5 + 24*x^3 - 12*x
F?\sw:
x^7 - 10*x^5 + 22*x^3 - 8*x
FIO|w:
x^7 - 11*x^5 + 27*x^3 - 12*x
F?\tw:
x^7 - 11*x^5 + 26*x^3 - 10*x
F?\vw:
x^7 - 12*x^5 + 30*x^3 - 12*x
F?]v_:
x^7 - 10*x^5 + 25*x^3 - 14*x
F?lrg:
x^7 - 10*x^5 + 23*x^3 - 10*x
F?\tg:
x^7 - 10*x^5 + 23*x^3 - 10*x
FBEmW:
x^7 - 10*x^5 + 24*x^3 - 11*x
F?L|o:
x^7 - 10*x^5 + 21*x^3 - 6*x
F?T|o:
x^7 - 10*x^5 + 22*x^3 - 7*x
F?v`w:
x^7 - 10*x^5 + 23*x^3 - 8*x
F?lvg:
x^7 - 11*x^5 + 28*x^3 - 14*x
F?]rw:
x^7 - 11*x^5 + 26*x^3 - 10*x
F?]uw:
x^7 - 11*x^5 + 27*x^3 - 11*x
F?]vw:
x^7 - 12*x^5 + 31*x^3 - 14*x
FIQ|o:
x^7 - 11*x^5 + 30*x^3 - 18*x
F?\~_:
x^7 - 11*x^5 + 28*x^3 - 12*x
F?]~_:
x^7 - 11*x^5 + 29*x^3 - 14*x
F?^vo:
x^7 - 12*x^5 + 34*x^3 - 18*x
FIQ|w:
x^7 - 12*x^5 + 33*x^3 - 18*x
F?^vw:
x^7 - 13*x^5 + 37*x^3 - 18*x
F?\~g:
x^7 - 12*x^5 + 31*x^3 - 12*x
F?\|w:
x^7 - 12*x^5 + 29*x^3 - 10*x
F?\~w:
x^7 - 13*x^5 + 34*x^3 - 12*x
F?^tw:
x^7 - 12*x^5 + 32*x^3 - 14*x
F?]}w:
x^7 - 12*x^5 + 30*x^3 - 11*x
F?]~w:
x^7 - 13*x^5 + 35*x^3 - 14*x
F?^~w:
x^7 - 14*x^5 + 41*x^3 - 18*x
F?~v_:
x^7 - 12*x^5 + 36*x^3 - 24*x
comment: This is the complete bipartite graph $K_{3,4}$.
F?~vg:
x^7 - 13*x^5 + 40*x^3 - 24*x
F?^~o:
x^7 - 13*x^5 + 38*x^3 - 18*x
F?~vw:
x^7 - 14*x^5 + 44*x^3 - 24*x
F?~~w:
x^7 - 15*x^5 + 48*x^3 - 24*x
F@Q?w:
x^7 - 6*x^5 + 9*x^3 - 4*x
F@Q@w:
x^7 - 7*x^5 + 11*x^3 - 5*x
F@QBw:
x^7 - 8*x^5 + 13*x^3 - 6*x
F@QFw:
x^7 - 9*x^5 + 15*x^3 - 7*x
F@HSO:
x^7 - 6*x^5 + 10*x^3 - 4*x
comment: This is the path $P_7$.
F@O\G:
x^7 - 7*x^5 + 12*x^3 - 5*x
FA_pW:
x^7 - 7*x^5 + 12*x^3 - 5*x
FHQ?w:
x^7 - 7*x^5 + 13*x^3 - 6*x
F@OsW:
x^7 - 7*x^5 + 12*x^3 - 4*x
F@R@o:
x^7 - 7*x^5 + 13*x^3 - 5*x
F@QGw:
x^7 - 7*x^5 + 11*x^3 - 4*x
FG_qw:
x^7 - 8*x^5 + 15*x^3 - 7*x
FGEJg:
x^7 - 8*x^5 + 15*x^3 - 6*x
FG_Zg:
x^7 - 8*x^5 + 15*x^3 - 6*x
F`Q@w:
x^7 - 8*x^5 + 16*x^3 - 7*x
FA_hw:
x^7 - 8*x^5 + 14*x^3 - 6*x
F@QHw:
x^7 - 8*x^5 + 14*x^3 - 5*x
F`?^W:
x^7 - 9*x^5 + 18*x^3 - 8*x
FCHJw:
x^7 - 9*x^5 + 17*x^3 - 8*x
FGEJw:
x^7 - 9*x^5 + 17*x^3 - 7*x
F_Cnw:
x^7 - 10*x^5 + 20*x^3 - 9*x
FGC\W:
x^7 - 8*x^5 + 14*x^3 - 5*x
FGC^G:
x^7 - 8*x^5 + 15*x^3 - 4*x
FGC^W:
x^7 - 9*x^5 + 17*x^3 - 5*x
FGC\w:
x^7 - 9*x^5 + 16*x^3 - 6*x
FGC^w:
x^7 - 10*x^5 + 19*x^3 - 6*x
FK?}O:
x^7 - 8*x^5 + 17*x^3 - 8*x
FAMRW:
x^7 - 9*x^5 + 19*x^3 - 8*x
F@QZo:
x^7 - 9*x^5 + 19*x^3 - 7*x
F_W\g:
x^7 - 9*x^5 + 20*x^3 - 9*x
FA_xw:
x^7 - 9*x^5 + 17*x^3 - 7*x
FAIXw:
x^7 - 9*x^5 + 17*x^3 - 6*x
FCHiw:
x^7 - 9*x^5 + 18*x^3 - 8*x
FG_yw:
x^7 - 9*x^5 + 18*x^3 - 8*x
FGC}W:
x^7 - 9*x^5 + 18*x^3 - 7*x
FK?}W:
x^7 - 9*x^5 + 19*x^3 - 9*x
FA_~o:
x^7 - 10*x^5 + 23*x^3 - 10*x
F@`Zw:
x^7 - 10*x^5 + 21*x^3 - 9*x
F@QZw:
x^7 - 10*x^5 + 21*x^3 - 8*x
F_Dlw:
x^7 - 10*x^5 + 22*x^3 - 10*x
F@Q^w:
x^7 - 11*x^5 + 25*x^3 - 11*x
F@LSW:
x^7 - 8*x^5 + 15*x^3 - 5*x
F@Maw:
x^7 - 9*x^5 + 18*x^3 - 6*x
FAStW:
x^7 - 9*x^5 + 19*x^3 - 6*x
FGD\o:
x^7 - 9*x^5 + 19*x^3 - 7*x
F@Lew:
x^7 - 10*x^5 + 22*x^3 - 7*x
F@_zw:
x^7 - 10*x^5 + 20*x^3 - 7*x
FAG}w:
x^7 - 10*x^5 + 21*x^3 - 7*x
FGC}w:
x^7 - 10*x^5 + 21*x^3 - 8*x
F@O~w:
x^7 - 11*x^5 + 24*x^3 - 8*x
F`?}O:
x^7 - 8*x^5 + 17*x^3 - 6*x
FODZo:
x^7 - 9*x^5 + 19*x^3 - 9*x
F_K^G:
x^7 - 9*x^5 + 20*x^3 - 8*x
FGEZo:
x^7 - 9*x^5 + 19*x^3 - 7*x
FGEXw:
x^7 - 9*x^5 + 17*x^3 - 7*x
FGDkw:
x^7 - 9*x^5 + 18*x^3 - 6*x
F`?}W:
x^7 - 9*x^5 + 19*x^3 - 7*x
F`C^W:
x^7 - 10*x^5 + 23*x^3 - 10*x
FODZw:
x^7 - 10*x^5 + 21*x^3 - 10*x
F_C~W:
x^7 - 10*x^5 + 22*x^3 - 9*x
FGEZw:
x^7 - 10*x^5 + 21*x^3 - 8*x
F_C~w:
x^7 - 11*x^5 + 25*x^3 - 11*x
F@`zo:
x^7 - 10*x^5 + 23*x^3 - 10*x
F@Q}o:
x^7 - 10*x^5 + 24*x^3 - 10*x
F@P|o:
x^7 - 10*x^5 + 23*x^3 - 8*x
F_D|o:
x^7 - 10*x^5 + 24*x^3 - 11*x
F@`~o:
x^7 - 11*x^5 + 28*x^3 - 12*x
F@`zw:
x^7 - 11*x^5 + 25*x^3 - 11*x
F@Q}w:
x^7 - 11*x^5 + 26*x^3 - 11*x
F@P|w:
x^7 - 11*x^5 + 25*x^3 - 9*x
F_D|w:
x^7 - 11*x^5 + 26*x^3 - 12*x
F@`~w:
x^7 - 12*x^5 + 30*x^3 - 13*x
F@P~o:
x^7 - 11*x^5 + 27*x^3 - 9*x
F@P~w:
x^7 - 12*x^5 + 29*x^3 - 10*x
F@R~o:
x^7 - 12*x^5 + 33*x^3 - 14*x
F@R~w:
x^7 - 13*x^5 + 35*x^3 - 15*x
FHQSO:
x^7 - 7*x^5 + 14*x^3 - 7*x
comment: This is the cycle $C_7$.
FGSkg:
x^7 - 8*x^5 + 16*x^3 - 7*x
FCXPW:
x^7 - 8*x^5 + 16*x^3 - 7*x
Fk?gw:
x^7 - 8*x^5 + 17*x^3 - 8*x
FK_qW:
x^7 - 8*x^5 + 17*x^3 - 9*x
FGC{o:
x^7 - 8*x^5 + 15*x^3 - 6*x
FICkW:
x^7 - 8*x^5 + 16*x^3 - 7*x
FKHGw:
x^7 - 8*x^5 + 16*x^3 - 8*x
F?L\_:
x^7 - 8*x^5 + 15*x^3 - 5*x
FGK]G:
x^7 - 8*x^5 + 16*x^3 - 6*x
F_StW:
x^7 - 9*x^5 + 20*x^3 - 10*x
FGUPw:
x^7 - 9*x^5 + 19*x^3 - 9*x
FOLQw:
x^7 - 9*x^5 + 19*x^3 - 9*x
FoCiw:
x^7 - 9*x^5 + 20*x^3 - 10*x
FKG]W:
x^7 - 9*x^5 + 20*x^3 - 11*x
FAN@w:
x^7 - 9*x^5 + 19*x^3 - 8*x
FAYPw:
x^7 - 9*x^5 + 19*x^3 - 8*x
F_YPw:
x^7 - 9*x^5 + 20*x^3 - 9*x
F@YPw:
x^7 - 9*x^5 + 18*x^3 - 7*x
FaG\w:
x^7 - 10*x^5 + 23*x^3 - 12*x
FB_mw:
x^7 - 10*x^5 + 23*x^3 - 11*x
F@YRw:
x^7 - 10*x^5 + 22*x^3 - 10*x
F@YVw:
x^7 - 11*x^5 + 26*x^3 - 13*x
FGLSW:
x^7 - 8*x^5 + 16*x^3 - 7*x
F@Tcw:
x^7 - 9*x^5 + 19*x^3 - 8*x
FGLSw:
x^7 - 9*x^5 + 19*x^3 - 8*x
F@Tdw:
x^7 - 10*x^5 + 22*x^3 - 9*x
F@Tfw:
x^7 - 11*x^5 + 25*x^3 - 10*x
F@Umg:
x^7 - 10*x^5 + 24*x^3 - 12*x
F@Xsw:
x^7 - 10*x^5 + 23*x^3 - 10*x
F@hqw:
x^7 - 10*x^5 + 23*x^3 - 10*x
FBJKw:
x^7 - 10*x^5 + 24*x^3 - 12*x
F@Y^_:
x^7 - 10*x^5 + 25*x^3 - 13*x
F@Lkw:
x^7 - 10*x^5 + 21*x^3 - 7*x
F@h^g:
x^7 - 11*x^5 + 28*x^3 - 14*x
F@Y]w:
x^7 - 11*x^5 + 27*x^3 - 13*x
F@Ujw:
x^7 - 11*x^5 + 26*x^3 - 11*x
F@Y^w:
x^7 - 12*x^5 + 31*x^3 - 15*x
FHTcw:
x^7 - 10*x^5 + 24*x^3 - 10*x
F@Tkw:
x^7 - 10*x^5 + 22*x^3 - 9*x
FHO}w:
x^7 - 11*x^5 + 27*x^3 - 11*x
FALlw:
x^7 - 11*x^5 + 26*x^3 - 11*x
F@Tlw:
x^7 - 11*x^5 + 26*x^3 - 10*x
FGL^w:
x^7 - 12*x^5 + 30*x^3 - 12*x
FAdl_:
x^7 - 9*x^5 + 21*x^3 - 11*x
F@U^?:
x^7 - 9*x^5 + 21*x^3 - 10*x
FBebW:
x^7 - 10*x^5 + 25*x^3 - 14*x
F@fbo:
x^7 - 10*x^5 + 25*x^3 - 13*x
FHQZo:
x^7 - 10*x^5 + 24*x^3 - 11*x
FBO|W:
x^7 - 10*x^5 + 23*x^3 - 10*x
FHQ[w:
x^7 - 10*x^5 + 24*x^3 - 13*x
FHQ^o:
x^7 - 11*x^5 + 29*x^3 - 16*x
FD`jw:
x^7 - 11*x^5 + 28*x^3 - 15*x
F@jRw:
x^7 - 11*x^5 + 28*x^3 - 14*x
FHQZw:
x^7 - 11*x^5 + 27*x^3 - 12*x
FHQ^w:
x^7 - 12*x^5 + 32*x^3 - 17*x
F@W}g:
x^7 - 10*x^5 + 23*x^3 - 9*x
F@L[w:
x^7 - 10*x^5 + 20*x^3 - 7*x
F@T\W:
x^7 - 10*x^5 + 22*x^3 - 9*x
F@Lmw:
x^7 - 11*x^5 + 26*x^3 - 9*x
F@MZw:
x^7 - 11*x^5 + 24*x^3 - 8*x
FAS|w:
x^7 - 11*x^5 + 25*x^3 - 9*x
FAK~W:
x^7 - 11*x^5 + 26*x^3 - 10*x
F@L^w:
x^7 - 12*x^5 + 29*x^3 - 10*x
F@Vcw:
x^7 - 10*x^5 + 24*x^3 - 11*x
F@U^W:
x^7 - 11*x^5 + 27*x^3 - 12*x
F@UZw:
x^7 - 11*x^5 + 25*x^3 - 10*x
F@U^w:
x^7 - 12*x^5 + 30*x^3 - 13*x
FHQ}o:
x^7 - 11*x^5 + 30*x^3 - 16*x
FGN^o:
x^7 - 12*x^5 + 34*x^3 - 18*x
FGU|w:
x^7 - 12*x^5 + 32*x^3 - 17*x
FGL}w:
x^7 - 12*x^5 + 31*x^3 - 13*x
FHQ}w:
x^7 - 12*x^5 + 33*x^3 - 17*x
FGN^w:
x^7 - 13*x^5 + 37*x^3 - 19*x
F@d~o:
x^7 - 12*x^5 + 33*x^3 - 16*x
F@Vlw:
x^7 - 12*x^5 + 32*x^3 - 15*x
F@dzw:
x^7 - 12*x^5 + 30*x^3 - 13*x
F@T|w:
x^7 - 12*x^5 + 30*x^3 - 12*x
F@U}w:
x^7 - 12*x^5 + 31*x^3 - 14*x
FGN\w:
x^7 - 12*x^5 + 32*x^3 - 16*x
FAM~w:
x^7 - 13*x^5 + 36*x^3 - 17*x
F@T~o:
x^7 - 12*x^5 + 32*x^3 - 13*x
F@T~w:
x^7 - 13*x^5 + 35*x^3 - 14*x
F@V~o:
x^7 - 13*x^5 + 39*x^3 - 20*x
F@V~w:
x^7 - 14*x^5 + 42*x^3 - 21*x
FCX_w:
x^7 - 8*x^5 + 16*x^3 - 8*x
FK`_w:
x^7 - 8*x^5 + 17*x^3 - 8*x
F_KuW:
x^7 - 9*x^5 + 20*x^3 - 10*x
FOTPw:
x^7 - 9*x^5 + 19*x^3 - 10*x
F`CmW:
x^7 - 9*x^5 + 20*x^3 - 10*x
F`G]w:
x^7 - 10*x^5 + 23*x^3 - 12*x
F_Krw:
x^7 - 10*x^5 + 22*x^3 - 12*x
F_Kvw:
x^7 - 11*x^5 + 26*x^3 - 14*x
F?\t_:
x^7 - 9*x^5 + 20*x^3 - 10*x
FK_yo:
x^7 - 9*x^5 + 21*x^3 - 12*x
F@\cg:
x^7 - 9*x^5 + 20*x^3 - 9*x
F`KqW:
x^7 - 9*x^5 + 20*x^3 - 10*x
FCdj_:
x^7 - 9*x^5 + 21*x^3 - 10*x
FDhaw:
x^7 - 10*x^5 + 25*x^3 - 14*x
FBZ@w:
x^7 - 10*x^5 + 24*x^3 - 12*x
FDUbW:
x^7 - 10*x^5 + 25*x^3 - 13*x
F`IZo:
x^7 - 10*x^5 + 25*x^3 - 14*x
FI_xw:
x^7 - 10*x^5 + 23*x^3 - 12*x
FaG{w:
x^7 - 10*x^5 + 24*x^3 - 13*x
F`H[w:
x^7 - 10*x^5 + 24*x^3 - 14*x
FBZDw:
x^7 - 11*x^5 + 29*x^3 - 16*x
FSOzw:
x^7 - 11*x^5 + 28*x^3 - 16*x
FI_zw:
x^7 - 11*x^5 + 27*x^3 - 14*x
FB`lw:
x^7 - 11*x^5 + 28*x^3 - 15*x
F`H\w:
x^7 - 11*x^5 + 28*x^3 - 16*x
FI_~w:
x^7 - 12*x^5 + 32*x^3 - 18*x
FKcqW:
x^7 - 9*x^5 + 21*x^3 - 11*x
F@Tl_:
x^7 - 9*x^5 + 20*x^3 - 8*x
FAdtO:
x^7 - 9*x^5 + 21*x^3 - 9*x
F@LuO:
x^7 - 9*x^5 + 20*x^3 - 8*x
F`Maw:
x^7 - 10*x^5 + 25*x^3 - 14*x
FDdbW:
x^7 - 10*x^5 + 25*x^3 - 12*x
FJQHw:
x^7 - 10*x^5 + 24*x^3 - 11*x
F@nBg:
x^7 - 10*x^5 + 25*x^3 - 12*x
F`Oxw:
x^7 - 10*x^5 + 23*x^3 - 12*x
FoCyw:
x^7 - 10*x^5 + 24*x^3 - 13*x
FJQLw:
x^7 - 11*x^5 + 29*x^3 - 15*x
F`_zw:
x^7 - 11*x^5 + 28*x^3 - 16*x
FDPlw:
x^7 - 11*x^5 + 28*x^3 - 14*x
FGdrw:
x^7 - 11*x^5 + 27*x^3 - 13*x
F@ptw:
x^7 - 11*x^5 + 28*x^3 - 14*x
FGdvw:
x^7 - 12*x^5 + 32*x^3 - 17*x
F@]eg:
x^7 - 10*x^5 + 25*x^3 - 12*x
F@X\g:
x^7 - 10*x^5 + 23*x^3 - 9*x
F@UuW:
x^7 - 10*x^5 + 24*x^3 - 10*x
FHFKw:
x^7 - 10*x^5 + 24*x^3 - 12*x
FB_zW:
x^7 - 10*x^5 + 23*x^3 - 11*x
FAgzg:
x^7 - 10*x^5 + 23*x^3 - 10*x
FEHkw:
x^7 - 10*x^5 + 24*x^3 - 11*x
F`Dkw:
x^7 - 10*x^5 + 24*x^3 - 13*x
FAK|W:
x^7 - 10*x^5 + 21*x^3 - 8*x
FCLZW:
x^7 - 10*x^5 + 22*x^3 - 9*x
F@S}W:
x^7 - 10*x^5 + 22*x^3 - 8*x
FGL[w:
x^7 - 10*x^5 + 22*x^3 - 10*x
F_YXw:
x^7 - 10*x^5 + 23*x^3 - 11*x
F@huw:
x^7 - 11*x^5 + 28*x^3 - 13*x
FDO~W:
x^7 - 11*x^5 + 28*x^3 - 14*x
FCLjw:
x^7 - 11*x^5 + 26*x^3 - 12*x
FAMjw:
x^7 - 11*x^5 + 26*x^3 - 11*x
F@qZw:
x^7 - 11*x^5 + 27*x^3 - 12*x
F_S|w:
x^7 - 11*x^5 + 27*x^3 - 14*x
FGc~w:
x^7 - 12*x^5 + 31*x^3 - 15*x
F`KuW:
x^7 - 10*x^5 + 25*x^3 - 12*x
F`Gyw:
x^7 - 10*x^5 + 23*x^3 - 12*x
F`FHw:
x^7 - 10*x^5 + 24*x^3 - 11*x
FOLYw:
x^7 - 10*x^5 + 22*x^3 - 11*x
F_oxw:
x^7 - 10*x^5 + 23*x^3 - 10*x
F`G}w:
x^7 - 11*x^5 + 28*x^3 - 14*x
F_Kzw:
x^7 - 11*x^5 + 26*x^3 - 14*x
F_K}w:
x^7 - 11*x^5 + 27*x^3 - 13*x
F_K~w:
x^7 - 12*x^5 + 31*x^3 - 16*x
F@Neo:
x^7 - 10*x^5 + 25*x^3 - 12*x
F@NMg:
x^7 - 10*x^5 + 24*x^3 - 10*x
F@L^G:
x^7 - 10*x^5 + 23*x^3 - 8*x
FB`kw:
x^7 - 10*x^5 + 24*x^3 - 12*x
F@ozg:
x^7 - 10*x^5 + 23*x^3 - 10*x
F@K}W:
x^7 - 10*x^5 + 21*x^3 - 6*x
F@NNg:
x^7 - 11*x^5 + 28*x^3 - 12*x
F@o~g:
x^7 - 11*x^5 + 28*x^3 - 14*x
F@o}w:
x^7 - 11*x^5 + 27*x^3 - 12*x
F@NJw:
x^7 - 11*x^5 + 26*x^3 - 10*x
F@o~w:
x^7 - 12*x^5 + 31*x^3 - 14*x
FK`zo:
x^7 - 11*x^5 + 30*x^3 - 18*x
FK`~o:
x^7 - 12*x^5 + 35*x^3 - 20*x
FK`zw:
x^7 - 12*x^5 + 33*x^3 - 20*x
FK`~w:
x^7 - 13*x^5 + 38*x^3 - 22*x
FI`|o:
x^7 - 11*x^5 + 30*x^3 - 16*x
FC\ng:
x^7 - 12*x^5 + 34*x^3 - 18*x
FI`|w:
x^7 - 12*x^5 + 33*x^3 - 18*x
FCXzw:
x^7 - 12*x^5 + 31*x^3 - 16*x
FGezw:
x^7 - 12*x^5 + 32*x^3 - 16*x
F_L|w:
x^7 - 12*x^5 + 32*x^3 - 18*x
FCX~w:
x^7 - 13*x^5 + 37*x^3 - 20*x
FGd~_:
x^7 - 11*x^5 + 30*x^3 - 16*x
FG]^g:
x^7 - 12*x^5 + 34*x^3 - 17*x
FGd~g:
x^7 - 12*x^5 + 33*x^3 - 18*x
FGdzw:
x^7 - 12*x^5 + 31*x^3 - 14*x
F@p|w:
x^7 - 12*x^5 + 32*x^3 - 15*x
FGd~w:
x^7 - 13*x^5 + 37*x^3 - 19*x
F_N~o:
x^7 - 13*x^5 + 40*x^3 - 22*x
F_N~w:
x^7 - 14*x^5 + 43*x^3 - 24*x
FEOhW:
x^7 - 8*x^5 + 16*x^3 - 7*x
FGW[g:
x^7 - 8*x^5 + 16*x^3 - 5*x
F?K}_:
x^7 - 8*x^5 + 15*x^3 - 4*x
FoCZW:
x^7 - 9*x^5 + 20*x^3 - 10*x
FWCYw:
x^7 - 9*x^5 + 19*x^3 - 9*x
F_opw:
x^7 - 9*x^5 + 20*x^3 - 8*x
FAU`w:
x^7 - 9*x^5 + 19*x^3 - 7*x
F@N@w:
x^7 - 9*x^5 + 18*x^3 - 6*x
FoCZw:
x^7 - 10*x^5 + 23*x^3 - 12*x
FEGmw:
x^7 - 10*x^5 + 23*x^3 - 10*x
F@NBw:
x^7 - 10*x^5 + 22*x^3 - 9*x
F@NFw:
x^7 - 11*x^5 + 26*x^3 - 12*x
F@K}w:
x^7 - 11*x^5 + 24*x^3 - 6*x
F@K~w:
x^7 - 12*x^5 + 27*x^3 - 6*x
F@N^o:
x^7 - 12*x^5 + 33*x^3 - 16*x
F@N]w:
x^7 - 12*x^5 + 31*x^3 - 14*x
F@N^W:
x^7 - 12*x^5 + 32*x^3 - 14*x
F@L}w:
x^7 - 12*x^5 + 30*x^3 - 11*x
F@N^w:
x^7 - 13*x^5 + 36*x^3 - 16*x
F@L~o:
x^7 - 12*x^5 + 31*x^3 - 12*x
F@L|w:
x^7 - 12*x^5 + 28*x^3 - 9*x
F@L~w:
x^7 - 13*x^5 + 34*x^3 - 12*x
F@N~o:
x^7 - 13*x^5 + 38*x^3 - 18*x
F@N~w:
x^7 - 14*x^5 + 41*x^3 - 18*x
FBY^G:
x^7 - 11*x^5 + 30*x^3 - 18*x
FIK}W:
x^7 - 11*x^5 + 28*x^3 - 14*x
FIo|g:
x^7 - 11*x^5 + 30*x^3 - 18*x
F@\sw:
x^7 - 11*x^5 + 27*x^3 - 12*x
FC\rW:
x^7 - 11*x^5 + 28*x^3 - 14*x
FCdzo:
x^7 - 11*x^5 + 28*x^3 - 14*x
FAY|o:
x^7 - 11*x^5 + 29*x^3 - 16*x
FINLw:
x^7 - 12*x^5 + 34*x^3 - 20*x
FBYZw:
x^7 - 12*x^5 + 32*x^3 - 16*x
FAmrw:
x^7 - 12*x^5 + 33*x^3 - 18*x
FC\vW:
x^7 - 12*x^5 + 34*x^3 - 20*x
FBY^w:
x^7 - 13*x^5 + 38*x^3 - 22*x
FBY^?:
x^7 - 10*x^5 + 26*x^3 - 16*x
FLr@w:
x^7 - 11*x^5 + 31*x^3 - 20*x
FF`jW:
x^7 - 11*x^5 + 30*x^3 - 18*x
FAM~O:
x^7 - 11*x^5 + 29*x^3 - 15*x
F_L|o:
x^7 - 11*x^5 + 29*x^3 - 16*x
F@N^O:
x^7 - 11*x^5 + 29*x^3 - 14*x
Fk_zw:
x^7 - 12*x^5 + 35*x^3 - 22*x
FC^bw:
x^7 - 12*x^5 + 34*x^3 - 20*x
FGnRw:
x^7 - 12*x^5 + 34*x^3 - 19*x
F_]vw:
x^7 - 13*x^5 + 39*x^3 - 24*x
F_|tg:
x^7 - 12*x^5 + 36*x^3 - 22*x
FFo~W:
x^7 - 13*x^5 + 41*x^3 - 26*x
FWN]w:
x^7 - 13*x^5 + 40*x^3 - 26*x
FC^vW:
x^7 - 13*x^5 + 40*x^3 - 24*x
FENnw:
x^7 - 14*x^5 + 45*x^3 - 28*x
FBd~W:
x^7 - 13*x^5 + 39*x^3 - 22*x
FC\zw:
x^7 - 13*x^5 + 36*x^3 - 18*x
FAmzw:
x^7 - 13*x^5 + 37*x^3 - 19*x
FC\~W:
x^7 - 13*x^5 + 38*x^3 - 22*x
FC\~w:
x^7 - 14*x^5 + 43*x^3 - 24*x
FBNmw:
x^7 - 13*x^5 + 39*x^3 - 21*x
F@t~g:
x^7 - 13*x^5 + 39*x^3 - 22*x
F@\}w:
x^7 - 13*x^5 + 36*x^3 - 16*x
F@]}w:
x^7 - 13*x^5 + 37*x^3 - 18*x
F@^^w:
x^7 - 14*x^5 + 43*x^3 - 23*x
FG]}w:
x^7 - 13*x^5 + 38*x^3 - 20*x
F_]~w:
x^7 - 14*x^5 + 44*x^3 - 26*x
F@v~w:
x^7 - 15*x^5 + 50*x^3 - 30*x
FBejW:
x^7 - 11*x^5 + 29*x^3 - 16*x
FEXhw:
x^7 - 11*x^5 + 28*x^3 - 14*x
FELlW:
x^7 - 11*x^5 + 29*x^3 - 16*x
FGlug:
x^7 - 11*x^5 + 30*x^3 - 17*x
FBUlW:
x^7 - 11*x^5 + 29*x^3 - 15*x
FIS|W:
x^7 - 11*x^5 + 28*x^3 - 13*x
FBMmW:
x^7 - 11*x^5 + 29*x^3 - 15*x
FJQ\W:
x^7 - 11*x^5 + 30*x^3 - 16*x
FAd|o:
x^7 - 11*x^5 + 28*x^3 - 13*x
FAizo:
x^7 - 11*x^5 + 29*x^3 - 14*x
F@L}o:
x^7 - 11*x^5 + 27*x^3 - 11*x
FG[}g:
x^7 - 11*x^5 + 28*x^3 - 12*x
F@h}o:
x^7 - 11*x^5 + 29*x^3 - 14*x
FEW~W:
x^7 - 12*x^5 + 34*x^3 - 20*x
FHNMw:
x^7 - 12*x^5 + 34*x^3 - 19*x
FClrw:
x^7 - 12*x^5 + 33*x^3 - 17*x
FA]rw:
x^7 - 12*x^5 + 32*x^3 - 15*x
F@nRw:
x^7 - 12*x^5 + 33*x^3 - 17*x
FG^Tw:
x^7 - 12*x^5 + 34*x^3 - 18*x
FA]vw:
x^7 - 13*x^5 + 38*x^3 - 21*x
FG\sw:
x^7 - 11*x^5 + 28*x^3 - 12*x
FIS|w:
x^7 - 12*x^5 + 32*x^3 - 15*x
FA\tw:
x^7 - 12*x^5 + 32*x^3 - 14*x
F@\tw:
x^7 - 12*x^5 + 31*x^3 - 14*x
F@\vw:
x^7 - 13*x^5 + 36*x^3 - 16*x
FHL[w:
x^7 - 11*x^5 + 27*x^3 - 13*x
F@T|o:
x^7 - 11*x^5 + 27*x^3 - 11*x
F@]uW:
x^7 - 11*x^5 + 29*x^3 - 13*x
F@L|o:
x^7 - 11*x^5 + 25*x^3 - 9*x
FHM]w:
x^7 - 12*x^5 + 33*x^3 - 18*x
F@]uw:
x^7 - 12*x^5 + 33*x^3 - 16*x
F@]rw:
x^7 - 12*x^5 + 31*x^3 - 14*x
F@]vw:
x^7 - 13*x^5 + 37*x^3 - 19*x
F@^vo:
x^7 - 13*x^5 + 40*x^3 - 24*x
FHN]w:
x^7 - 13*x^5 + 39*x^3 - 23*x
F@l~g:
x^7 - 13*x^5 + 38*x^3 - 20*x
F@^vw:
x^7 - 14*x^5 + 44*x^3 - 25*x
F@\~g:
x^7 - 13*x^5 + 37*x^3 - 17*x
F@\|w:
x^7 - 13*x^5 + 35*x^3 - 15*x
F@\~w:
x^7 - 14*x^5 + 41*x^3 - 18*x
F@]~w:
x^7 - 14*x^5 + 42*x^3 - 21*x
F@^~w:
x^7 - 15*x^5 + 49*x^3 - 27*x
F@~vg:
x^7 - 14*x^5 + 47*x^3 - 32*x
F@~uw:
x^7 - 14*x^5 + 46*x^3 - 28*x
F@^~o:
x^7 - 14*x^5 + 45*x^3 - 26*x
F@~vw:
x^7 - 15*x^5 + 52*x^3 - 34*x
F@~~w:
x^7 - 16*x^5 + 57*x^3 - 36*x
FBY~o:
x^7 - 13*x^5 + 40*x^3 - 24*x
FDhzw:
x^7 - 13*x^5 + 38*x^3 - 22*x
FBY}w:
x^7 - 13*x^5 + 39*x^3 - 22*x
FBX|w:
x^7 - 13*x^5 + 37*x^3 - 18*x
FHU}w:
x^7 - 13*x^5 + 39*x^3 - 23*x
FBY~w:
x^7 - 14*x^5 + 44*x^3 - 26*x
FI\tw:
x^7 - 13*x^5 + 38*x^3 - 18*x
FBX~w:
x^7 - 14*x^5 + 42*x^3 - 20*x
FBZ~o:
x^7 - 14*x^5 + 46*x^3 - 28*x
FBZ~w:
x^7 - 15*x^5 + 50*x^3 - 30*x
F?]u_:
x^7 - 9*x^5 + 21*x^3 - 11*x
FWD[o:
x^7 - 9*x^5 + 21*x^3 - 11*x
FGc}_:
x^7 - 9*x^5 + 21*x^3 - 11*x
FBj@w:
x^7 - 10*x^5 + 25*x^3 - 14*x
F`YPw:
x^7 - 10*x^5 + 25*x^3 - 14*x
FIe`w:
x^7 - 10*x^5 + 25*x^3 - 14*x
FIebw:
x^7 - 11*x^5 + 29*x^3 - 17*x
FIefw:
x^7 - 12*x^5 + 33*x^3 - 20*x
comment: This is the wheel $W_7$.
FHo}g:
x^7 - 11*x^5 + 30*x^3 - 18*x
FM`hw:
x^7 - 11*x^5 + 30*x^3 - 18*x
Fie`w:
x^7 - 11*x^5 + 31*x^3 - 19*x
FKK}W:
x^7 - 11*x^5 + 29*x^3 - 17*x
F`Lkw:
x^7 - 11*x^5 + 29*x^3 - 17*x
FKL\W:
x^7 - 11*x^5 + 29*x^3 - 17*x
FY_}w:
x^7 - 12*x^5 + 35*x^3 - 22*x
FKNJw:
x^7 - 12*x^5 + 34*x^3 - 21*x
FKNNw:
x^7 - 13*x^5 + 39*x^3 - 25*x
FHU^G:
x^7 - 11*x^5 + 30*x^3 - 16*x
FKWyw:
x^7 - 11*x^5 + 28*x^3 - 14*x
FIMmw:
x^7 - 12*x^5 + 34*x^3 - 19*x
FHd\w:
x^7 - 12*x^5 + 33*x^3 - 19*x
FKL^W:
x^7 - 12*x^5 + 34*x^3 - 20*x
FHUZw:
x^7 - 12*x^5 + 32*x^3 - 16*x
FHU^w:
x^7 - 13*x^5 + 38*x^3 - 22*x
FJQ\O:
x^7 - 10*x^5 + 26*x^3 - 15*x
FHU^?:
x^7 - 10*x^5 + 26*x^3 - 14*x
Fbj@w:
x^7 - 11*x^5 + 31*x^3 - 18*x
FDprW:
x^7 - 11*x^5 + 30*x^3 - 17*x
FIdtW:
x^7 - 11*x^5 + 30*x^3 - 16*x
FIc~G:
x^7 - 11*x^5 + 30*x^3 - 17*x
FIM\W:
x^7 - 11*x^5 + 29*x^3 - 16*x
Fh_}w:
x^7 - 12*x^5 + 35*x^3 - 21*x
FSTjw:
x^7 - 12*x^5 + 34*x^3 - 21*x
FDZJw:
x^7 - 12*x^5 + 34*x^3 - 20*x
FIejw:
x^7 - 12*x^5 + 34*x^3 - 19*x
FoL^w:
x^7 - 13*x^5 + 39*x^3 - 24*x
Fbc~W:
x^7 - 13*x^5 + 41*x^3 - 26*x
FQdzw:
x^7 - 13*x^5 + 39*x^3 - 25*x
FKNmw:
x^7 - 13*x^5 + 40*x^3 - 25*x
FQL}w:
x^7 - 13*x^5 + 39*x^3 - 24*x
FHd}w:
x^7 - 13*x^5 + 39*x^3 - 23*x
FoNZw:
x^7 - 13*x^5 + 40*x^3 - 25*x
FaM~w:
x^7 - 14*x^5 + 45*x^3 - 29*x
FB]vW:
x^7 - 13*x^5 + 40*x^3 - 23*x
FBhzw:
x^7 - 13*x^5 + 37*x^3 - 19*x
FBh|w:
x^7 - 13*x^5 + 38*x^3 - 21*x
FBh~w:
x^7 - 14*x^5 + 44*x^3 - 26*x
FB]uW:
x^7 - 12*x^5 + 35*x^3 - 19*x
FBY}o:
x^7 - 12*x^5 + 35*x^3 - 20*x
FDp~o:
x^7 - 13*x^5 + 41*x^3 - 25*x
FBh}w:
x^7 - 13*x^5 + 39*x^3 - 22*x
FDpzw:
x^7 - 13*x^5 + 39*x^3 - 23*x
FBj^w:
x^7 - 14*x^5 + 45*x^3 - 28*x
FBj~o:
x^7 - 14*x^5 + 47*x^3 - 30*x
FBj~w:
x^7 - 15*x^5 + 51*x^3 - 33*x
Fo\sw:
x^7 - 12*x^5 + 36*x^3 - 24*x
FIU|o:
x^7 - 12*x^5 + 35*x^3 - 22*x
FBY|o:
x^7 - 12*x^5 + 34*x^3 - 20*x
FbY\w:
x^7 - 13*x^5 + 41*x^3 - 28*x
FImrw:
x^7 - 13*x^5 + 40*x^3 - 26*x
FImvw:
x^7 - 14*x^5 + 46*x^3 - 32*x
FQ\sw:
x^7 - 12*x^5 + 35*x^3 - 22*x
FJY[w:
x^7 - 12*x^5 + 35*x^3 - 20*x
FB\tW:
x^7 - 12*x^5 + 33*x^3 - 16*x
F`Lzo:
x^7 - 12*x^5 + 33*x^3 - 18*x
FXT[w:
x^7 - 12*x^5 + 35*x^3 - 22*x
F@\~_:
x^7 - 12*x^5 + 33*x^3 - 16*x
FB]^G:
x^7 - 12*x^5 + 35*x^3 - 20*x
FJY\w:
x^7 - 13*x^5 + 40*x^3 - 24*x
F`\tw:
x^7 - 13*x^5 + 40*x^3 - 26*x
FJYZw:
x^7 - 13*x^5 + 38*x^3 - 20*x
FB^dw:
x^7 - 13*x^5 + 40*x^3 - 24*x
FJY^w:
x^7 - 14*x^5 + 45*x^3 - 28*x
FT\uW:
x^7 - 13*x^5 + 42*x^3 - 28*x
FI}vg:
x^7 - 14*x^5 + 48*x^3 - 34*x
Fdhzw:
x^7 - 14*x^5 + 47*x^3 - 34*x
FInvw:
x^7 - 15*x^5 + 53*x^3 - 38*x
FLh}w:
x^7 - 14*x^5 + 47*x^3 - 32*x
FS\zw:
x^7 - 14*x^5 + 45*x^3 - 30*x
FIm~w:
x^7 - 15*x^5 + 52*x^3 - 36*x
FIn~w:
x^7 - 16*x^5 + 59*x^3 - 42*x
FIl~g:
x^7 - 14*x^5 + 46*x^3 - 30*x
FI]|w:
x^7 - 14*x^5 + 45*x^3 - 28*x
FJY}w:
x^7 - 14*x^5 + 46*x^3 - 28*x
FI]~w:
x^7 - 15*x^5 + 51*x^3 - 32*x
FI\|w:
x^7 - 14*x^5 + 43*x^3 - 22*x
FB\|w:
x^7 - 14*x^5 + 42*x^3 - 21*x
FB\~w:
x^7 - 15*x^5 + 48*x^3 - 24*x
FD\~W:
x^7 - 14*x^5 + 45*x^3 - 28*x
FB]~W:
x^7 - 14*x^5 + 45*x^3 - 27*x
FB]|w:
x^7 - 14*x^5 + 43*x^3 - 24*x
FB]~w:
x^7 - 15*x^5 + 50*x^3 - 30*x
FB^~w:
x^7 - 16*x^5 + 57*x^3 - 36*x
FkUhw:
x^7 - 12*x^5 + 36*x^3 - 24*x
FsLZW:
x^7 - 12*x^5 + 36*x^3 - 23*x
FHU}o:
x^7 - 12*x^5 + 35*x^3 - 21*x
Fo^Pw:
x^7 - 12*x^5 + 36*x^3 - 22*x
F@]~_:
x^7 - 12*x^5 + 34*x^3 - 19*x
FA]~_:
x^7 - 12*x^5 + 35*x^3 - 20*x
FpUZw:
x^7 - 13*x^5 + 41*x^3 - 28*x
Fbh\w:
x^7 - 13*x^5 + 41*x^3 - 27*x
FBnbw:
x^7 - 13*x^5 + 40*x^3 - 25*x
FFYmw:
x^7 - 13*x^5 + 41*x^3 - 26*x
FBnfw:
x^7 - 14*x^5 + 46*x^3 - 31*x
FDx~g:
x^7 - 14*x^5 + 47*x^3 - 32*x
FPvZw:
x^7 - 14*x^5 + 46*x^3 - 31*x
FBnvW:
x^7 - 14*x^5 + 47*x^3 - 31*x
FHu~w:
x^7 - 15*x^5 + 52*x^3 - 35*x
FBy}w:
x^7 - 14*x^5 + 46*x^3 - 29*x
FB]}w:
x^7 - 14*x^5 + 44*x^3 - 25*x
FBn^w:
x^7 - 15*x^5 + 51*x^3 - 32*x
FBn~w:
x^7 - 16*x^5 + 58*x^3 - 39*x
FF^nW:
x^7 - 15*x^5 + 54*x^3 - 40*x
FI~tw:
x^7 - 15*x^5 + 54*x^3 - 38*x
FB^~o:
x^7 - 15*x^5 + 52*x^3 - 34*x
FBn~o:
x^7 - 15*x^5 + 53*x^3 - 36*x
FB~vw:
x^7 - 16*x^5 + 60*x^3 - 44*x
FB~~w:
x^7 - 17*x^5 + 66*x^3 - 48*x
F@~v_:
x^7 - 13*x^5 + 42*x^3 - 30*x
FbY|o:
x^7 - 13*x^5 + 42*x^3 - 30*x
FFzbw:
x^7 - 14*x^5 + 48*x^3 - 36*x
FFzfw:
x^7 - 15*x^5 + 54*x^3 - 42*x
FK~v_:
x^7 - 14*x^5 + 49*x^3 - 36*x
F]p|w:
x^7 - 15*x^5 + 55*x^3 - 42*x
Fs\zw:
x^7 - 15*x^5 + 54*x^3 - 42*x
Fs\~w:
x^7 - 16*x^5 + 61*x^3 - 48*x
FFz~o:
x^7 - 16*x^5 + 62*x^3 - 48*x
FFz~w:
x^7 - 17*x^5 + 68*x^3 - 54*x
FF~~w:
x^7 - 18*x^5 + 75*x^3 - 60*x
FGeZ_:
x^7 - 9*x^5 + 21*x^3 - 9*x
FJaHw:
x^7 - 10*x^5 + 25*x^3 - 12*x
F`N@w:
x^7 - 10*x^5 + 25*x^3 - 12*x
FJaJw:
x^7 - 11*x^5 + 29*x^3 - 15*x
FJaNw:
x^7 - 12*x^5 + 33*x^3 - 18*x
FaK|W:
x^7 - 11*x^5 + 29*x^3 - 17*x
FPLYw:
x^7 - 11*x^5 + 27*x^3 - 13*x
FKcyw:
x^7 - 11*x^5 + 28*x^3 - 16*x
FEXlw:
x^7 - 12*x^5 + 34*x^3 - 19*x
FHeZw:
x^7 - 12*x^5 + 33*x^3 - 18*x
FPTZw:
x^7 - 12*x^5 + 32*x^3 - 17*x
FKW}w:
x^7 - 12*x^5 + 34*x^3 - 19*x
F`MZw:
x^7 - 12*x^5 + 33*x^3 - 20*x
FPT^w:
x^7 - 13*x^5 + 38*x^3 - 22*x
FJYKg:
x^7 - 10*x^5 + 26*x^3 - 13*x
FJ_}W:
x^7 - 11*x^5 + 30*x^3 - 16*x
FKdjg:
x^7 - 11*x^5 + 30*x^3 - 16*x
FjaHw:
x^7 - 11*x^5 + 31*x^3 - 17*x
comment: This is the Moser spindle.
FKLkw:
x^7 - 11*x^5 + 29*x^3 - 15*x
F`K}W:
x^7 - 11*x^5 + 29*x^3 - 15*x
FwC}w:
x^7 - 12*x^5 + 35*x^3 - 20*x
FKYZw:
x^7 - 12*x^5 + 34*x^3 - 19*x
F`NNw:
x^7 - 13*x^5 + 39*x^3 - 23*x
F`Kyw:
x^7 - 11*x^5 + 27*x^3 - 15*x
F`K}w:
x^7 - 12*x^5 + 33*x^3 - 18*x
F`Kzw:
x^7 - 12*x^5 + 31*x^3 - 18*x
F`K~w:
x^7 - 13*x^5 + 37*x^3 - 21*x
FeK~W:
x^7 - 13*x^5 + 41*x^3 - 25*x
FKdzw:
x^7 - 13*x^5 + 39*x^3 - 23*x
FQT|w:
x^7 - 13*x^5 + 39*x^3 - 23*x
F`N^W:
x^7 - 13*x^5 + 40*x^3 - 24*x
F`N^w:
x^7 - 14*x^5 + 45*x^3 - 28*x
F`L~o:
x^7 - 13*x^5 + 40*x^3 - 24*x
F`Lzw:
x^7 - 13*x^5 + 37*x^3 - 21*x
F`L|w:
x^7 - 13*x^5 + 38*x^3 - 24*x
F`L~w:
x^7 - 14*x^5 + 44*x^3 - 27*x
F`N~o:
x^7 - 14*x^5 + 47*x^3 - 30*x
F`N~w:
x^7 - 15*x^5 + 51*x^3 - 33*x
FKzPw:
x^7 - 12*x^5 + 36*x^3 - 22*x
FQT|o:
x^7 - 12*x^5 + 35*x^3 - 20*x
FI]\g:
x^7 - 12*x^5 + 35*x^3 - 20*x
FwL[w:
x^7 - 12*x^5 + 36*x^3 - 22*x
FB]lg:
x^7 - 12*x^5 + 34*x^3 - 18*x
Fbo|w:
x^7 - 13*x^5 + 41*x^3 - 26*x
FJejw:
x^7 - 13*x^5 + 40*x^3 - 24*x
FJenw:
x^7 - 14*x^5 + 46*x^3 - 30*x
Fkoxw:
x^7 - 12*x^5 + 36*x^3 - 23*x
FpLYw:
x^7 - 12*x^5 + 35*x^3 - 22*x
FkYXw:
x^7 - 12*x^5 + 36*x^3 - 22*x
FPT}o:
x^7 - 12*x^5 + 35*x^3 - 21*x
F`L|o:
x^7 - 12*x^5 + 34*x^3 - 21*x
F`v`w:
x^7 - 12*x^5 + 36*x^3 - 21*x
FpL]w:
x^7 - 13*x^5 + 41*x^3 - 27*x
F`]rw:
x^7 - 13*x^5 + 40*x^3 - 26*x
Fbg}w:
x^7 - 13*x^5 + 41*x^3 - 26*x
F`]vw:
x^7 - 14*x^5 + 46*x^3 - 31*x
FJ]^G:
x^7 - 13*x^5 + 41*x^3 - 25*x
FL]uW:
x^7 - 13*x^5 + 42*x^3 - 27*x
FJnNg:
x^7 - 14*x^5 + 48*x^3 - 33*x
FTpzw:
x^7 - 14*x^5 + 47*x^3 - 32*x
FJq~w:
x^7 - 15*x^5 + 53*x^3 - 37*x
FJd~W:
x^7 - 14*x^5 + 46*x^3 - 29*x
FK\zw:
x^7 - 14*x^5 + 43*x^3 - 24*x
FK\|w:
x^7 - 14*x^5 + 45*x^3 - 28*x
F`\|w:
x^7 - 14*x^5 + 45*x^3 - 30*x
FK\~w:
x^7 - 15*x^5 + 51*x^3 - 33*x
FTX}w:
x^7 - 14*x^5 + 47*x^3 - 31*x
FK]~w:
x^7 - 15*x^5 + 52*x^3 - 35*x
F`l~g:
x^7 - 14*x^5 + 47*x^3 - 32*x
F`t|w:
x^7 - 14*x^5 + 46*x^3 - 30*x
F`]~w:
x^7 - 15*x^5 + 52*x^3 - 36*x
FK^~w:
x^7 - 16*x^5 + 59*x^3 - 42*x
Ftpzw:
x^7 - 15*x^5 + 55*x^3 - 41*x
FK^~o:
x^7 - 15*x^5 + 54*x^3 - 38*x
FK~vw:
x^7 - 16*x^5 + 61*x^3 - 46*x
FK~~w:
x^7 - 17*x^5 + 67*x^3 - 51*x
FJY}o:
x^7 - 13*x^5 + 41*x^3 - 26*x
FJvdw:
x^7 - 14*x^5 + 48*x^3 - 33*x
FLpzw:
x^7 - 14*x^5 + 46*x^3 - 31*x
FLp|w:
x^7 - 14*x^5 + 47*x^3 - 32*x
Fbh|w:
x^7 - 14*x^5 + 47*x^3 - 33*x
FLp~w:
x^7 - 15*x^5 + 53*x^3 - 38*x
FLr~o:
x^7 - 15*x^5 + 55*x^3 - 40*x
FLr~w:
x^7 - 16*x^5 + 60*x^3 - 45*x
FBnvO:
x^7 - 13*x^5 + 42*x^3 - 28*x
F`]~_:
x^7 - 13*x^5 + 42*x^3 - 28*x
Fb]lg:
x^7 - 13*x^5 + 42*x^3 - 28*x
FLvbw:
x^7 - 14*x^5 + 48*x^3 - 34*x
FLvfw:
x^7 - 15*x^5 + 54*x^3 - 40*x
FLvvO:
x^7 - 14*x^5 + 49*x^3 - 35*x
Flp|w:
x^7 - 15*x^5 + 55*x^3 - 41*x
FM^lw:
x^7 - 15*x^5 + 54*x^3 - 39*x
Fk]~w:
x^7 - 16*x^5 + 61*x^3 - 47*x
FJn^W:
x^7 - 15*x^5 + 54*x^3 - 38*x
FJ]}w:
x^7 - 15*x^5 + 52*x^3 - 34*x
FJn^w:
x^7 - 16*x^5 + 60*x^3 - 44*x
Fbn~w:
x^7 - 17*x^5 + 68*x^3 - 54*x
FZn]w:
x^7 - 16*x^5 + 62*x^3 - 49*x
FLv~o:
x^7 - 16*x^5 + 62*x^3 - 48*x
FL~vw:
x^7 - 17*x^5 + 69*x^3 - 56*x
FL~~w:
x^7 - 18*x^5 + 76*x^3 - 63*x
FU\~W:
x^7 - 15*x^5 + 54*x^3 - 40*x
Fb]|w:
x^7 - 15*x^5 + 53*x^3 - 39*x
FLl}w:
x^7 - 15*x^5 + 53*x^3 - 37*x
FR^^w:
x^7 - 16*x^5 + 60*x^3 - 45*x
FJm~w:
x^7 - 16*x^5 + 59*x^3 - 42*x
FJn~w:
x^7 - 17*x^5 + 67*x^3 - 51*x
FR\}w:
x^7 - 15*x^5 + 52*x^3 - 36*x
FJ]|w:
x^7 - 15*x^5 + 51*x^3 - 33*x
FJ]~w:
x^7 - 16*x^5 + 58*x^3 - 39*x
FJ\|w:
x^7 - 15*x^5 + 49*x^3 - 27*x
FJ\~w:
x^7 - 16*x^5 + 55*x^3 - 30*x
FJ^~w:
x^7 - 17*x^5 + 65*x^3 - 45*x
FJ~~w:
x^7 - 18*x^5 + 75*x^3 - 60*x
FN~~w:
x^7 - 19*x^5 + 85*x^3 - 75*x
FJn~o:
x^7 - 16*x^5 + 61*x^3 - 46*x
FJ^~o:
x^7 - 16*x^5 + 59*x^3 - 42*x
Fj]|w:
x^7 - 16*x^5 + 61*x^3 - 48*x
FJ~vw:
x^7 - 17*x^5 + 68*x^3 - 54*x
Fjm~w:
x^7 - 17*x^5 + 69*x^3 - 57*x
FNz~w:
x^7 - 18*x^5 + 77*x^3 - 66*x
FNz~o:
x^7 - 17*x^5 + 70*x^3 - 58*x
F]~vw:
x^7 - 18*x^5 + 78*x^3 - 68*x
F]~~w:
x^7 - 19*x^5 + 86*x^3 - 78*x
F^~~w:
x^7 - 20*x^5 + 95*x^3 - 90*x
F~~~w:
x^7 - 21*x^5 + 105*x^3 - 105*x
comment: This is the complete graph $K_7$.
Definition
For a connected simple graph $G$ with $n$ vertices, let $m_k(G)$ be the number of matchings with $k$ edges and let $m_0(G)=1$. Listed is the signed matching polynomial $\mu(G,x)=\sum_{k\geq0}(-1)^k m_k(G)x^{n-2k}$ [2] [3].
Parameters
$G$
—   graph (a connected simple graph, named by its canonical graph6 string)
Formulas
(1)
If $G$ has $n$ vertices and $M(G,x)$ is the matching-generating polynomial, then $\mu(G,x)=x^nM(G,-x^{-2})$.
(2)
$\mu(K_n,x)=He_n(x)$, where $He_n$ is the probabilists' Hermite polynomial.
(3)
$\mu(K_{n,n},x)=(-1)^n n! L_n(x^2)$, where $L_n$ is the Laguerre polynomial normalised by $L_n(0)=1$.
(4)
$\mu(P_n,x)=U_n(x/2)$ and $\mu(C_n,x)=2T_n(x/2)$, where $U_n$ and $T_n$ are the Chebyshev polynomials of the second kind and the Chebyshev polynomials of the first kind.
Comments
(5)
Graphs are named by their graph6 string [4], McKay's compact encoding, taken after a canonical relabelling so that the name depends on the graph and not on how its vertices happen to be numbered. Recover the graph in Sage with Graph(name), and produce the name used here with g.canonical_label(algorithm='sage').graph6_string(). The same names index the chromatic polynomials and the Tutte polynomials.
(6)
$\mu(G,x)$ is also called the acyclic polynomial, the reference polynomial and the matching defect polynomial [3].
(7)
For the connected graphs stored here, the signed matching polynomial equals the characteristic polynomial $\det(xI-A(G))$ of the adjacency matrix exactly when $G$ is a tree.
(8)
The 996 graphs here have 434 distinct signed matching polynomials. The largest class of connected graphs with the same signed matching polynomial has 13 graphs.
(9)
Heilmann and Lieb proved that the zeros of the signed matching polynomial are real [1].
Programs
(P1)
Sage
from sage.graphs.graph import Graph

G = Graph('EIe_')             # C_6, by its name here
G.matching_polynomial()       # x^6 - 6*x^4 + 9*x^2 - 2
References
[1]
Ole J. Heilmann and Elliott H. Lieb, Theory of monomer-dimer systems, Communications in Mathematical Physics 25 (1972), no. 3, 190-232. (doi)
Links
Similar tables
Matching-generating polynomials of connected graphs —   uses the same graph names and stores $M(G,x)=\sum_k m_k(G)x^k$; for a graph with $n$ vertices, $\mu(G,x)=x^nM(G,-x^{-2})$, so the two tables encode the same matching counts in different one-variable polynomials. The generating table is the likely target for a reader holding matching counts or a Hosoya-index computation; this table is the signed convention used for roots and characteristic-polynomial identities.
Characteristic polynomials of connected graphs —   holds $\det(xI-A(G))$ for the same graphs under the same names; on the graphs stored here it equals $\mu(G,x)$ exactly for trees
Chromatic polynomials of connected graphs —   uses the same canonical graph6 index for connected graphs on at most seven vertices
Tutte polynomials of connected graphs —   uses the same canonical graph6 index for connected graphs on at most seven vertices, but the matching polynomial is not determined by the Tutte polynomial
Entropy constants of lattice models —   the dimer model counts perfect matchings of lattice regions; for a graph $G$ with an even number $n$ of vertices, $|\mu(G,0)|=m_{n/2}(G)$ counts perfect matchings
Hermite polynomials in probabilist's convention —   gives the complete-graph cases in formula (2)
Laguerre polynomials —   gives the complete-bipartite cases in formula (3)
Chebyshev polynomials of the second kind —   gives the path cases in formula (4)
Chebyshev polynomials of the first kind —   gives the cycle cases in formula (4)
Data properties
Entries are of type: integral polynomial
How well the digits are known: exact
Table is complete: no (it holds $\mu(G,x)$ for every connected graph $G$ on at most seven vertices)
How they were obtained:

The generator enumerates connected simple graphs with $1\leq |V(G)|\leq7$ using Sage, takes each graph's canonical_label(algorithm='sage'), and stores the canonical graph6 string. It counts matchings by exact enumeration of edge subsets and forms $\mu(G,x)$ over $\mathbb{Z}[x]$.

more

The 996 graph6 strings are exactly the keys of the chromatic polynomial table and the Tutte polynomial table. Sage's matching_polynomial() agreed on every row. The count of equal-polynomial classes in comment (8) was computed from the same exact rows. Formula (1) agreed against the stored matching-generating rows before the split; formula (2) agreed for $K_1,\ldots,K_7$; formula (3) agreed for $K_{1,1}$, $K_{2,2}$, and $K_{3,3}$; formula (4) agreed for every path and cycle in range; and, on the connected graphs stored here, $\mu(G,x)=\det(xI-A(G))$ agreed exactly for the 25 trees.



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