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Laplacian polynomials of connected graphs
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Polynomials
$G$ 
$\lambda(G,x)$
@:
x
comment: This is the complete graph $K_1$.
A_:
x^2 - 2*x
comment: This is the complete graph $K_2$.
BW:
x^3 - 4*x^2 + 3*x
comment: This is the path $P_3$.
Bw:
x^3 - 6*x^2 + 9*x
comment: This is the complete graph $K_3$.
CF:
x^4 - 6*x^3 + 9*x^2 - 4*x
comment: This is the star $K_{1,3}$.
CL:
x^4 - 6*x^3 + 10*x^2 - 4*x
comment: This is the path $P_4$.
CN:
x^4 - 8*x^3 + 19*x^2 - 12*x
C]:
x^4 - 8*x^3 + 20*x^2 - 16*x
comment: This is the cycle $C_4$.
C^:
x^4 - 10*x^3 + 32*x^2 - 32*x
comment: This is the diamond graph.
C~:
x^4 - 12*x^3 + 48*x^2 - 64*x
comment: This is the complete graph $K_4$.
D?{:
x^5 - 8*x^4 + 18*x^3 - 16*x^2 + 5*x
comment: This is the star $K_{1,4}$.
D@s:
x^5 - 8*x^4 + 20*x^3 - 18*x^2 + 5*x
D@{:
x^5 - 10*x^4 + 32*x^3 - 38*x^2 + 15*x
DIk:
x^5 - 10*x^4 + 34*x^3 - 46*x^2 + 20*x
DBk:
x^5 - 10*x^4 + 33*x^3 - 40*x^2 + 15*x
comment: This is the bull graph.
DB{:
x^5 - 12*x^4 + 49*x^3 - 78*x^2 + 40*x
comment: This is the dart graph.
DFw:
x^5 - 12*x^4 + 51*x^3 - 92*x^2 + 60*x
comment: This is the complete bipartite graph $K_{2,3}$.
DF{:
x^5 - 14*x^4 + 69*x^3 - 140*x^2 + 100*x
DBg:
x^5 - 8*x^4 + 21*x^3 - 20*x^2 + 5*x
comment: This is the path $P_5$.
DK[:
x^5 - 10*x^4 + 34*x^3 - 44*x^2 + 15*x
DK{:
x^5 - 12*x^4 + 50*x^3 - 84*x^2 + 45*x
comment: This is the butterfly graph.
DLo:
x^5 - 10*x^4 + 35*x^3 - 50*x^2 + 25*x
comment: This is the cycle $C_5$.
Dbk:
x^5 - 12*x^4 + 51*x^3 - 90*x^2 + 55*x
comment: This is the house graph.
DL{:
x^5 - 14*x^4 + 70*x^3 - 146*x^2 + 105*x
DJk:
x^5 - 12*x^4 + 50*x^3 - 82*x^2 + 40*x
DJ{:
x^5 - 14*x^4 + 69*x^3 - 136*x^2 + 80*x
DN{:
x^5 - 16*x^4 + 93*x^3 - 230*x^2 + 200*x
comment: This is the house X graph.
DNw:
x^5 - 14*x^4 + 71*x^3 - 154*x^2 + 120*x
D]{:
x^5 - 16*x^4 + 94*x^3 - 240*x^2 + 225*x
comment: This is the wheel $W_5$.
D^{:
x^5 - 18*x^4 + 120*x^3 - 350*x^2 + 375*x
D~{:
x^5 - 20*x^4 + 150*x^3 - 500*x^2 + 625*x
comment: This is the complete graph $K_5$.
E?Bw:
x^6 - 10*x^5 + 30*x^4 - 40*x^3 + 25*x^2 - 6*x
comment: This is the star $K_{1,5}$.
E?Fg:
x^6 - 10*x^5 + 33*x^4 - 46*x^3 + 28*x^2 - 6*x
E?Fw:
x^6 - 12*x^5 + 48*x^4 - 82*x^3 + 63*x^2 - 18*x
E@FG:
x^6 - 10*x^5 + 35*x^4 - 52*x^3 + 32*x^2 - 6*x
E?NG:
x^6 - 10*x^5 + 34*x^4 - 48*x^3 + 29*x^2 - 6*x
E@JW:
x^6 - 12*x^5 + 51*x^4 - 96*x^3 + 80*x^2 - 24*x
E?NW:
x^6 - 12*x^5 + 50*x^4 - 88*x^3 + 67*x^2 - 18*x
E?Nw:
x^6 - 14*x^5 + 69*x^4 - 148*x^3 + 140*x^2 - 48*x
E?]o:
x^6 - 12*x^5 + 52*x^4 - 100*x^3 + 84*x^2 - 24*x
E?^o:
x^6 - 14*x^5 + 72*x^4 - 170*x^3 + 184*x^2 - 72*x
E?]w:
x^6 - 14*x^5 + 70*x^4 - 152*x^3 + 144*x^2 - 48*x
E?^w:
x^6 - 16*x^5 + 93*x^4 - 242*x^3 + 284*x^2 - 120*x
E?~o:
x^6 - 16*x^5 + 96*x^4 - 272*x^3 + 368*x^2 - 192*x
comment: This is the complete bipartite graph $K_{2,4}$.
E?~w:
x^6 - 18*x^5 + 120*x^4 - 368*x^3 + 528*x^2 - 288*x
E@QW:
x^6 - 10*x^5 + 35*x^4 - 52*x^3 + 31*x^2 - 6*x
E@`w:
x^6 - 12*x^5 + 51*x^4 - 94*x^3 + 72*x^2 - 18*x
E@Rw:
x^6 - 14*x^5 + 70*x^4 - 156*x^3 + 153*x^2 - 54*x
E@YW:
x^6 - 12*x^5 + 52*x^4 - 100*x^3 + 83*x^2 - 24*x
EHQW:
x^6 - 12*x^5 + 53*x^4 - 106*x^3 + 95*x^2 - 30*x
E@UW:
x^6 - 12*x^5 + 51*x^4 - 92*x^3 + 69*x^2 - 18*x
EGNW:
x^6 - 14*x^5 + 72*x^4 - 168*x^3 + 176*x^2 - 66*x
EAMw:
x^6 - 14*x^5 + 71*x^4 - 158*x^3 + 149*x^2 - 48*x
E@Vw:
x^6 - 16*x^5 + 94*x^4 - 250*x^3 + 297*x^2 - 126*x
E@YO:
x^6 - 10*x^5 + 36*x^4 - 56*x^3 + 35*x^2 - 6*x
comment: This is the path $P_6$.
EI_w:
x^6 - 12*x^5 + 53*x^4 - 106*x^3 + 92*x^2 - 24*x
EGdo:
x^6 - 12*x^5 + 53*x^4 - 104*x^3 + 84*x^2 - 18*x
EGcw:
x^6 - 12*x^5 + 52*x^4 - 98*x^3 + 76*x^2 - 18*x
E@ow:
x^6 - 12*x^5 + 52*x^4 - 98*x^3 + 75*x^2 - 18*x
EK`w:
x^6 - 14*x^5 + 73*x^4 - 176*x^3 + 192*x^2 - 72*x
comment: It has the same Laplacian polynomial as EBYW.
ECXw:
x^6 - 14*x^5 + 72*x^4 - 166*x^3 + 164*x^2 - 48*x
EGdw:
x^6 - 14*x^5 + 72*x^4 - 166*x^3 + 165*x^2 - 54*x
E_Nw:
x^6 - 16*x^5 + 95*x^4 - 260*x^3 + 324*x^2 - 144*x
E@NW:
x^6 - 14*x^5 + 71*x^4 - 158*x^3 + 148*x^2 - 48*x
E@Nw:
x^6 - 16*x^5 + 93*x^4 - 238*x^3 + 256*x^2 - 96*x
E_]o:
x^6 - 14*x^5 + 74*x^4 - 184*x^3 + 216*x^2 - 96*x
EENg:
x^6 - 16*x^5 + 97*x^4 - 278*x^3 + 376*x^2 - 192*x
EC\w:
x^6 - 16*x^5 + 95*x^4 - 256*x^3 + 304*x^2 - 120*x
E@^W:
x^6 - 16*x^5 + 95*x^4 - 256*x^3 + 305*x^2 - 126*x
E_]w:
x^6 - 16*x^5 + 96*x^4 - 268*x^3 + 348*x^2 - 168*x
E@vw:
x^6 - 18*x^5 + 122*x^4 - 386*x^3 + 568*x^2 - 312*x
E@^o:
x^6 - 16*x^5 + 96*x^4 - 266*x^3 + 332*x^2 - 144*x
E@]w:
x^6 - 16*x^5 + 94*x^4 - 244*x^3 + 264*x^2 - 96*x
E@^w:
x^6 - 18*x^5 + 121*x^4 - 372*x^3 + 508*x^2 - 240*x
E@~o:
x^6 - 18*x^5 + 124*x^4 - 408*x^3 + 640*x^2 - 384*x
E@~w:
x^6 - 20*x^5 + 152*x^4 - 544*x^3 + 912*x^2 - 576*x
EBYW:
x^6 - 14*x^5 + 73*x^4 - 176*x^3 + 192*x^2 - 72*x
comment: It has the same Laplacian polynomial as EK`w.
EBYw:
x^6 - 16*x^5 + 96*x^4 - 266*x^3 + 333*x^2 - 144*x
EBZw:
x^6 - 18*x^5 + 122*x^4 - 384*x^3 + 549*x^2 - 270*x
EIe_:
x^6 - 12*x^5 + 54*x^4 - 112*x^3 + 105*x^2 - 36*x
comment: This is the cycle $C_6$.
EKNG:
x^6 - 14*x^5 + 74*x^4 - 184*x^3 + 213*x^2 - 90*x
EHUW:
x^6 - 14*x^5 + 73*x^4 - 174*x^3 + 185*x^2 - 66*x
EoLW:
x^6 - 14*x^5 + 74*x^4 - 182*x^3 + 205*x^2 - 84*x
E@]o:
x^6 - 14*x^5 + 72*x^4 - 164*x^3 + 156*x^2 - 48*x
EA]o:
x^6 - 14*x^5 + 73*x^4 - 174*x^3 + 184*x^2 - 66*x
EaMw:
x^6 - 16*x^5 + 97*x^4 - 276*x^3 + 364*x^2 - 174*x
EBhw:
x^6 - 16*x^5 + 96*x^4 - 264*x^3 + 320*x^2 - 126*x
EBjW:
x^6 - 16*x^5 + 97*x^4 - 276*x^3 + 365*x^2 - 180*x
EBjw:
x^6 - 18*x^5 + 123*x^4 - 396*x^3 + 595*x^2 - 330*x
EImo:
x^6 - 16*x^5 + 98*x^4 - 288*x^3 + 405*x^2 - 216*x
EJYW:
x^6 - 16*x^5 + 97*x^4 - 274*x^3 + 348*x^2 - 144*x
comment: It has the same Laplacian polynomial as E`NW.
EIno:
x^6 - 18*x^5 + 125*x^4 - 418*x^3 + 672*x^2 - 414*x
EImw:
x^6 - 18*x^5 + 124*x^4 - 406*x^3 + 627*x^2 - 360*x
EInw:
x^6 - 20*x^5 + 154*x^4 - 568*x^3 + 999*x^2 - 666*x
EI]w:
x^6 - 18*x^5 + 123*x^4 - 392*x^3 + 564*x^2 - 270*x
EB]w:
x^6 - 18*x^5 + 122*x^4 - 380*x^3 + 523*x^2 - 240*x
EB^w:
x^6 - 20*x^5 + 152*x^4 - 538*x^3 + 855*x^2 - 450*x
EHuw:
x^6 - 18*x^5 + 124*x^4 - 406*x^3 + 628*x^2 - 366*x
EBnW:
x^6 - 18*x^5 + 123*x^4 - 394*x^3 + 585*x^2 - 324*x
EBnw:
x^6 - 20*x^5 + 153*x^4 - 554*x^3 + 939*x^2 - 594*x
EB~w:
x^6 - 22*x^5 + 187*x^4 - 762*x^3 + 1476*x^2 - 1080*x
EFz_:
x^6 - 18*x^5 + 126*x^4 - 432*x^3 + 729*x^2 - 486*x
comment: This is the complete bipartite graph $K_{3,3}$.
Es\w:
x^6 - 20*x^5 + 156*x^4 - 594*x^3 + 1107*x^2 - 810*x
EB~o:
x^6 - 20*x^5 + 155*x^4 - 580*x^3 + 1044*x^2 - 720*x
EFzw:
x^6 - 22*x^5 + 189*x^4 - 792*x^3 + 1620*x^2 - 1296*x
EF~w:
x^6 - 24*x^5 + 225*x^4 - 1026*x^3 + 2268*x^2 - 1944*x
EPTW:
x^6 - 14*x^5 + 73*x^4 - 172*x^3 + 172*x^2 - 48*x
E`NG:
x^6 - 14*x^5 + 74*x^4 - 180*x^3 + 189*x^2 - 54*x
E`NW:
x^6 - 16*x^5 + 97*x^4 - 274*x^3 + 348*x^2 - 144*x
comment: It has the same Laplacian polynomial as EJYW.
E`Lw:
x^6 - 16*x^5 + 96*x^4 - 262*x^3 + 304*x^2 - 96*x
E`Nw:
x^6 - 18*x^5 + 123*x^4 - 394*x^3 + 576*x^2 - 288*x
EJeg:
x^6 - 16*x^5 + 98*x^4 - 284*x^3 + 381*x^2 - 180*x
EJqw:
x^6 - 18*x^5 + 125*x^4 - 416*x^3 + 656*x^2 - 384*x
EK\w:
x^6 - 18*x^5 + 123*x^4 - 390*x^3 + 548*x^2 - 240*x
EK]w:
x^6 - 18*x^5 + 124*x^4 - 404*x^3 + 611*x^2 - 330*x
E`]w:
x^6 - 18*x^5 + 124*x^4 - 404*x^3 + 612*x^2 - 336*x
EK^w:
x^6 - 20*x^5 + 154*x^4 - 566*x^3 + 980*x^2 - 624*x
EK~o:
x^6 - 20*x^5 + 156*x^4 - 592*x^3 + 1088*x^2 - 768*x
EK~w:
x^6 - 22*x^5 + 188*x^4 - 776*x^3 + 1536*x^2 - 1152*x
EBn_:
x^6 - 16*x^5 + 98*x^4 - 286*x^3 + 397*x^2 - 210*x
E`]o:
x^6 - 16*x^5 + 98*x^4 - 284*x^3 + 384*x^2 - 192*x
ELpw:
x^6 - 18*x^5 + 125*x^4 - 416*x^3 + 659*x^2 - 396*x
ELrw:
x^6 - 20*x^5 + 155*x^4 - 580*x^3 + 1045*x^2 - 726*x
comment: This is the wheel $W_6$.
ELv_:
x^6 - 18*x^5 + 126*x^4 - 428*x^3 + 705*x^2 - 450*x
Ek]w:
x^6 - 20*x^5 + 156*x^4 - 592*x^3 + 1091*x^2 - 780*x
EJnW:
x^6 - 20*x^5 + 155*x^4 - 578*x^3 + 1027*x^2 - 684*x
Ebnw:
x^6 - 22*x^5 + 189*x^4 - 790*x^3 + 1601*x^2 - 1254*x
EL~w:
x^6 - 24*x^5 + 226*x^4 - 1040*x^3 + 2328*x^2 - 2016*x
ER^W:
x^6 - 20*x^5 + 155*x^4 - 578*x^3 + 1028*x^2 - 690*x
EJmw:
x^6 - 20*x^5 + 154*x^4 - 564*x^3 + 965*x^2 - 600*x
EJnw:
x^6 - 22*x^5 + 188*x^4 - 774*x^3 + 1517*x^2 - 1110*x
EJ]w:
x^6 - 20*x^5 + 153*x^4 - 548*x^3 + 880*x^2 - 450*x
EJ^w:
x^6 - 22*x^5 + 186*x^4 - 740*x^3 + 1325*x^2 - 750*x
EJ~w:
x^6 - 24*x^5 + 225*x^4 - 1022*x^3 + 2220*x^2 - 1800*x
EN~w:
x^6 - 26*x^5 + 267*x^4 - 1350*x^3 + 3348*x^2 - 3240*x
EL~o:
x^6 - 22*x^5 + 190*x^4 - 804*x^3 + 1664*x^2 - 1344*x
EJ~o:
x^6 - 22*x^5 + 189*x^4 - 788*x^3 + 1580*x^2 - 1200*x
Ejmw:
x^6 - 22*x^5 + 190*x^4 - 804*x^3 + 1665*x^2 - 1350*x
ENzw:
x^6 - 24*x^5 + 227*x^4 - 1056*x^3 + 2412*x^2 - 2160*x
E]~o:
x^6 - 24*x^5 + 228*x^4 - 1072*x^3 + 2496*x^2 - 2304*x
E]~w:
x^6 - 26*x^5 + 268*x^4 - 1368*x^3 + 3456*x^2 - 3456*x
E^~w:
x^6 - 28*x^5 + 312*x^4 - 1728*x^3 + 4752*x^2 - 5184*x
E~~w:
x^6 - 30*x^5 + 360*x^4 - 2160*x^3 + 6480*x^2 - 7776*x
comment: This is the complete graph $K_6$.
F??Fw:
x^7 - 12*x^6 + 45*x^5 - 80*x^4 + 75*x^3 - 36*x^2 + 7*x
comment: This is the star $K_{1,6}$.
F??Ng:
x^7 - 12*x^6 + 49*x^5 - 92*x^4 + 87*x^3 - 40*x^2 + 7*x
F??Nw:
x^7 - 14*x^6 + 67*x^5 - 148*x^4 + 167*x^3 - 94*x^2 + 21*x
F?CNG:
x^7 - 12*x^6 + 52*x^5 - 104*x^4 + 102*x^3 - 46*x^2 + 7*x
F??^G:
x^7 - 12*x^6 + 51*x^5 - 98*x^4 + 93*x^3 - 42*x^2 + 7*x
F??^o:
x^7 - 14*x^6 + 71*x^5 - 170*x^4 + 206*x^3 - 122*x^2 + 28*x
F??^W:
x^7 - 14*x^6 + 70*x^5 - 160*x^4 + 182*x^3 - 100*x^2 + 21*x
F??^w:
x^7 - 16*x^6 + 92*x^5 - 246*x^4 + 331*x^3 - 218*x^2 + 56*x
F??}O:
x^7 - 12*x^6 + 53*x^5 - 108*x^4 + 107*x^3 - 48*x^2 + 7*x
F??}o:
x^7 - 14*x^6 + 73*x^5 - 180*x^4 + 222*x^3 - 130*x^2 + 28*x
F??}W:
x^7 - 14*x^6 + 71*x^5 - 164*x^4 + 187*x^3 - 102*x^2 + 21*x
F??~o:
x^7 - 16*x^6 + 96*x^5 - 278*x^4 + 413*x^3 - 300*x^2 + 84*x
F??}w:
x^7 - 16*x^6 + 94*x^5 - 256*x^4 + 347*x^3 - 226*x^2 + 56*x
F??~w:
x^7 - 18*x^6 + 120*x^5 - 378*x^4 + 603*x^3 - 468*x^2 + 140*x
F?@|o:
x^7 - 16*x^6 + 97*x^5 - 284*x^4 + 425*x^3 - 308*x^2 + 84*x
F?@~o:
x^7 - 18*x^6 + 124*x^5 - 420*x^4 + 744*x^3 - 656*x^2 + 224*x
F?@|w:
x^7 - 18*x^6 + 121*x^5 - 384*x^4 + 615*x^3 - 476*x^2 + 140*x
F?@~w:
x^7 - 20*x^6 + 151*x^5 - 548*x^4 + 1024*x^3 - 944*x^2 + 336*x
F?B~o:
x^7 - 20*x^6 + 155*x^5 - 600*x^4 + 1240*x^3 - 1312*x^2 + 560*x
comment: This is the complete bipartite graph $K_{2,5}$.
F?B~w:
x^7 - 22*x^6 + 185*x^5 - 760*x^4 + 1640*x^3 - 1792*x^2 + 784*x
F?CeW:
x^7 - 12*x^6 + 52*x^5 - 104*x^4 + 100*x^3 - 44*x^2 + 7*x
F@?Mw:
x^7 - 14*x^6 + 71*x^5 - 168*x^4 + 195*x^3 - 106*x^2 + 21*x
F?Cfw:
x^7 - 16*x^6 + 93*x^5 - 256*x^4 + 355*x^3 - 240*x^2 + 63*x
F@?]O:
x^7 - 12*x^6 + 54*x^5 - 114*x^4 + 116*x^3 - 52*x^2 + 7*x
F?Cmg:
x^7 - 14*x^6 + 73*x^5 - 180*x^4 + 220*x^3 - 128*x^2 + 28*x
F@?]W:
x^7 - 14*x^6 + 73*x^5 - 178*x^4 + 211*x^3 - 114*x^2 + 21*x
F@CeW:
x^7 - 14*x^6 + 74*x^5 - 188*x^4 + 242*x^3 - 150*x^2 + 35*x
F?CmW:
x^7 - 14*x^6 + 72*x^5 - 170*x^4 + 194*x^3 - 104*x^2 + 21*x
F@?^W:
x^7 - 16*x^6 + 96*x^5 - 276*x^4 + 402*x^3 - 284*x^2 + 77*x
F?G]w:
x^7 - 16*x^6 + 95*x^5 - 264*x^4 + 360*x^3 - 232*x^2 + 56*x
F?Cnw:
x^7 - 18*x^6 + 121*x^5 - 388*x^4 + 627*x^3 - 490*x^2 + 147*x
F@OKg:
x^7 - 12*x^6 + 54*x^5 - 114*x^4 + 115*x^3 - 50*x^2 + 7*x
F?DcW:
x^7 - 12*x^6 + 53*x^5 - 108*x^4 + 105*x^3 - 46*x^2 + 7*x
F@IAw:
x^7 - 14*x^6 + 74*x^5 - 188*x^4 + 238*x^3 - 138*x^2 + 28*x
F@AJo:
x^7 - 14*x^6 + 74*x^5 - 186*x^4 + 228*x^3 - 124*x^2 + 21*x
F@@Kw:
x^7 - 14*x^6 + 73*x^5 - 178*x^4 + 210*x^3 - 112*x^2 + 21*x
F?Dcw:
x^7 - 14*x^6 + 73*x^5 - 178*x^4 + 209*x^3 - 112*x^2 + 21*x
comment: It has the same Laplacian polynomial as F?C^G.
F@PDw:
x^7 - 16*x^6 + 97*x^5 - 286*x^4 + 430*x^3 - 310*x^2 + 84*x
F?_rw:
x^7 - 16*x^6 + 96*x^5 - 274*x^4 + 387*x^3 - 250*x^2 + 56*x
F@@Lw:
x^7 - 16*x^6 + 96*x^5 - 274*x^4 + 388*x^3 - 258*x^2 + 63*x
FG?^w:
x^7 - 18*x^6 + 122*x^5 - 400*x^4 + 669*x^3 - 542*x^2 + 168*x
F?C^G:
x^7 - 14*x^6 + 73*x^5 - 178*x^4 + 209*x^3 - 112*x^2 + 21*x
comment: It has the same Laplacian polynomial as F?Dcw.
F?C^W:
x^7 - 16*x^6 + 95*x^5 - 264*x^4 + 358*x^3 - 230*x^2 + 56*x
F?C^w:
x^7 - 18*x^6 + 120*x^5 - 374*x^4 + 567*x^3 - 408*x^2 + 112*x
F@@ko:
x^7 - 14*x^6 + 75*x^5 - 194*x^4 + 253*x^3 - 156*x^2 + 35*x
F?O|o:
x^7 - 16*x^6 + 98*x^5 - 292*x^4 + 441*x^3 - 316*x^2 + 84*x
comment: It has the same Laplacian polynomial as F?KuW.
F?W\g:
x^7 - 16*x^6 + 98*x^5 - 290*x^4 + 431*x^3 - 302*x^2 + 77*x
FG?}o:
x^7 - 16*x^6 + 99*x^5 - 302*x^4 + 479*x^3 - 374*x^2 + 112*x
F?H[w:
x^7 - 16*x^6 + 96*x^5 - 270*x^4 + 370*x^3 - 236*x^2 + 56*x
F?Dkw:
x^7 - 16*x^6 + 96*x^5 - 270*x^4 + 369*x^3 - 236*x^2 + 56*x
F@@kw:
x^7 - 16*x^6 + 97*x^5 - 282*x^4 + 413*x^3 - 290*x^2 + 77*x
F?W^g:
x^7 - 18*x^6 + 125*x^5 - 428*x^4 + 761*x^3 - 666*x^2 + 224*x
F?O|w:
x^7 - 18*x^6 + 123*x^5 - 402*x^4 + 655*x^3 - 500*x^2 + 140*x
F?Dlw:
x^7 - 18*x^6 + 123*x^5 - 402*x^4 + 656*x^3 - 508*x^2 + 147*x
FG?}w:
x^7 - 18*x^6 + 124*x^5 - 416*x^4 + 718*x^3 - 606*x^2 + 196*x
F?Dnw:
x^7 - 20*x^6 + 153*x^5 - 570*x^4 + 1090*x^3 - 1018*x^2 + 364*x
F?O|_:
x^7 - 14*x^6 + 75*x^5 - 194*x^4 + 250*x^3 - 146*x^2 + 28*x
comment: It has the same Laplacian polynomial as F@G]G.
F@?}O:
x^7 - 14*x^6 + 75*x^5 - 192*x^4 + 239*x^3 - 130*x^2 + 21*x
comment: It has the same Laplacian polynomial as F?StG.
F?`ro:
x^7 - 16*x^6 + 99*x^5 - 302*x^4 + 473*x^3 - 348*x^2 + 84*x
FGAZo:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 462*x^3 - 334*x^2 + 84*x
comment: It has the same Laplacian polynomial as FIAHw.
F?O|g:
x^7 - 16*x^6 + 97*x^5 - 280*x^4 + 399*x^3 - 258*x^2 + 56*x
F@?}W:
x^7 - 16*x^6 + 97*x^5 - 280*x^4 + 399*x^3 - 264*x^2 + 63*x
F_?~o:
x^7 - 18*x^6 + 126*x^5 - 440*x^4 + 807*x^3 - 732*x^2 + 252*x
F?`rw:
x^7 - 18*x^6 + 124*x^5 - 414*x^4 + 699*x^3 - 548*x^2 + 140*x
FGAZw:
x^7 - 18*x^6 + 124*x^5 - 414*x^4 + 701*x^3 - 566*x^2 + 168*x
F_?~w:
x^7 - 20*x^6 + 154*x^5 - 584*x^4 + 1153*x^3 - 1124*x^2 + 420*x
F?C~O:
x^7 - 16*x^6 + 98*x^5 - 290*x^4 + 430*x^3 - 300*x^2 + 77*x
comment: It has the same Laplacian polynomial as F?StW.
F@C]W:
x^7 - 16*x^6 + 97*x^5 - 278*x^4 + 386*x^3 - 246*x^2 + 56*x
F?C~o:
x^7 - 18*x^6 + 124*x^5 - 414*x^4 + 697*x^3 - 558*x^2 + 168*x
F?C~W:
x^7 - 18*x^6 + 123*x^5 - 402*x^4 + 655*x^3 - 506*x^2 + 147*x
F?C}w:
x^7 - 18*x^6 + 122*x^5 - 388*x^4 + 595*x^3 - 424*x^2 + 112*x
F?C~w:
x^7 - 20*x^6 + 152*x^5 - 554*x^4 + 1007*x^3 - 866*x^2 + 280*x
F?`zo:
x^7 - 18*x^6 + 126*x^5 - 438*x^4 + 792*x^3 - 696*x^2 + 224*x
comment: It has the same Laplacian polynomial as Fo?Zw.
F?D~O:
x^7 - 18*x^6 + 126*x^5 - 436*x^4 + 781*x^3 - 682*x^2 + 224*x
comment: It has the same Laplacian polynomial as F?LuW.
F_@|o:
x^7 - 18*x^6 + 127*x^5 - 450*x^4 + 849*x^3 - 812*x^2 + 308*x
F?Fno:
x^7 - 20*x^6 + 157*x^5 - 620*x^4 + 1303*x^3 - 1388*x^2 + 588*x
F?`zw:
x^7 - 20*x^6 + 154*x^5 - 578*x^4 + 1108*x^3 - 1016*x^2 + 336*x
F?D~W:
x^7 - 20*x^6 + 154*x^5 - 578*x^4 + 1110*x^3 - 1034*x^2 + 364*x
F_@|w:
x^7 - 20*x^6 + 155*x^5 - 594*x^4 + 1195*x^3 - 1204*x^2 + 476*x
F?Fnw:
x^7 - 22*x^6 + 188*x^5 - 796*x^4 + 1769*x^3 - 1972*x^2 + 868*x
F?D|o:
x^7 - 18*x^6 + 125*x^5 - 422*x^4 + 717*x^3 - 574*x^2 + 168*x
F?D~o:
x^7 - 20*x^6 + 156*x^5 - 604*x^4 + 1216*x^3 - 1200*x^2 + 448*x
F?D|w:
x^7 - 20*x^6 + 153*x^5 - 562*x^4 + 1027*x^3 - 882*x^2 + 280*x
F?D~w:
x^7 - 22*x^6 + 187*x^5 - 778*x^4 + 1660*x^3 - 1720*x^2 + 672*x
F?F~o:
x^7 - 22*x^6 + 191*x^5 - 838*x^4 + 1964*x^3 - 2344*x^2 + 1120*x
F?F~w:
x^7 - 24*x^6 + 225*x^5 - 1050*x^4 + 2580*x^3 - 3192*x^2 + 1568*x
F?KuW:
x^7 - 16*x^6 + 98*x^5 - 292*x^4 + 441*x^3 - 316*x^2 + 84*x
comment: It has the same Laplacian polynomial as F?O|o.
F@CmW:
x^7 - 16*x^6 + 98*x^5 - 290*x^4 + 432*x^3 - 302*x^2 + 77*x
F?Kuw:
x^7 - 18*x^6 + 124*x^5 - 414*x^4 + 699*x^3 - 560*x^2 + 168*x
F?Kvw:
x^7 - 20*x^6 + 153*x^5 - 568*x^4 + 1067*x^3 - 948*x^2 + 315*x
FICcW:
x^7 - 14*x^6 + 76*x^5 - 202*x^4 + 273*x^3 - 176*x^2 + 42*x
F@HSW:
x^7 - 14*x^6 + 75*x^5 - 194*x^4 + 252*x^3 - 154*x^2 + 35*x
F?_yo:
x^7 - 14*x^6 + 74*x^5 - 186*x^4 + 230*x^3 - 132*x^2 + 28*x
F@O^G:
x^7 - 16*x^6 + 99*x^5 - 302*x^4 + 475*x^3 - 362*x^2 + 105*x
FGG[w:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 416*x^3 - 268*x^2 + 56*x
F@Okw:
x^7 - 16*x^6 + 98*x^5 - 290*x^4 + 431*x^3 - 300*x^2 + 77*x
FI?\W:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 465*x^3 - 348*x^2 + 98*x
F@O[w:
x^7 - 16*x^6 + 97*x^5 - 278*x^4 + 386*x^3 - 244*x^2 + 56*x
F?StW:
x^7 - 16*x^6 + 98*x^5 - 290*x^4 + 430*x^3 - 300*x^2 + 77*x
comment: It has the same Laplacian polynomial as F?C~O.
FGG]w:
x^7 - 18*x^6 + 125*x^5 - 426*x^4 + 746*x^3 - 632*x^2 + 203*x
F?MRw:
x^7 - 18*x^6 + 124*x^5 - 412*x^4 + 683*x^3 - 526*x^2 + 147*x
F?LVW:
x^7 - 18*x^6 + 125*x^5 - 426*x^4 + 747*x^3 - 640*x^2 + 210*x
F?LVw:
x^7 - 20*x^6 + 154*x^5 - 582*x^4 + 1132*x^3 - 1070*x^2 + 385*x
FIAHo:
x^7 - 14*x^6 + 76*x^5 - 202*x^4 + 270*x^3 - 162*x^2 + 28*x
F?StG:
x^7 - 14*x^6 + 75*x^5 - 192*x^4 + 239*x^3 - 130*x^2 + 21*x
comment: It has the same Laplacian polynomial as F@?}O.
F@G]G:
x^7 - 14*x^6 + 75*x^5 - 194*x^4 + 250*x^3 - 146*x^2 + 28*x
comment: It has the same Laplacian polynomial as F?O|_.
F?oow:
x^7 - 14*x^6 + 74*x^5 - 184*x^4 + 220*x^3 - 118*x^2 + 21*x
FIa@w:
x^7 - 16*x^6 + 100*x^5 - 312*x^4 + 508*x^3 - 400*x^2 + 112*x
F?org:
x^7 - 16*x^6 + 99*x^5 - 298*x^4 + 447*x^3 - 298*x^2 + 56*x
FIAHw:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 462*x^3 - 334*x^2 + 84*x
comment: It has the same Laplacian polynomial as FGAZo.
F?opw:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 415*x^3 - 266*x^2 + 56*x
F?YPw:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 417*x^3 - 276*x^2 + 63*x
Fo?Zw:
x^7 - 18*x^6 + 126*x^5 - 438*x^4 + 792*x^3 - 696*x^2 + 224*x
comment: It has the same Laplacian polynomial as F?`zo.
F?NBw:
x^7 - 18*x^6 + 125*x^5 - 424*x^4 + 729*x^3 - 590*x^2 + 168*x
F?NFw:
x^7 - 20*x^6 + 155*x^5 - 596*x^4 + 1196*x^3 - 1184*x^2 + 448*x
F@H[o:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 460*x^3 - 328*x^2 + 84*x
comment: It has the same Laplacian polynomial as FGEJg.
F@TTW:
x^7 - 18*x^6 + 127*x^5 - 448*x^4 + 826*x^3 - 744*x^2 + 252*x
F@IZo:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 747*x^3 - 596*x^2 + 168*x
comment: It has the same Laplacian polynomial as FGDkw.
F?Tto:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 816*x^3 - 730*x^2 + 245*x
F@H[w:
x^7 - 18*x^6 + 125*x^5 - 422*x^4 + 718*x^3 - 572*x^2 + 168*x
F@H^o:
x^7 - 20*x^6 + 157*x^5 - 616*x^4 + 1265*x^3 - 1274*x^2 + 483*x
F@H]w:
x^7 - 20*x^6 + 156*x^5 - 602*x^4 + 1201*x^3 - 1160*x^2 + 420*x
F@H\w:
x^7 - 20*x^6 + 155*x^5 - 586*x^4 + 1115*x^3 - 984*x^2 + 315*x
F@Dmw:
x^7 - 20*x^6 + 156*x^5 - 602*x^4 + 1202*x^3 - 1168*x^2 + 427*x
F@H^w:
x^7 - 22*x^6 + 189*x^5 - 806*x^4 + 1785*x^3 - 1924*x^2 + 777*x
Fo?yo:
x^7 - 16*x^6 + 101*x^5 - 320*x^4 + 533*x^3 - 440*x^2 + 140*x
F?L^?:
x^7 - 16*x^6 + 100*x^5 - 308*x^4 + 485*x^3 - 364*x^2 + 98*x
comment: It has the same Laplacian polynomial as FICkW.
F?[uG:
x^7 - 16*x^6 + 100*x^5 - 310*x^4 + 499*x^3 - 390*x^2 + 112*x
F_LLg:
x^7 - 18*x^6 + 128*x^5 - 460*x^4 + 878*x^3 - 838*x^2 + 308*x
F?Uro:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 797*x^3 - 678*x^2 + 203*x
comment: It has the same Laplacian polynomial as FGUPw.
F?]Rg:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 813*x^3 - 714*x^2 + 224*x
F?svG:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 867*x^3 - 824*x^2 + 308*x
FADlW:
x^7 - 18*x^6 + 126*x^5 - 434*x^4 + 767*x^3 - 650*x^2 + 203*x
FCDjW:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 747*x^3 - 588*x^2 + 140*x
Fo?yw:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 817*x^3 - 736*x^2 + 252*x
F?NPw:
x^7 - 18*x^6 + 125*x^5 - 420*x^4 + 701*x^3 - 536*x^2 + 147*x
FEG^W:
x^7 - 20*x^6 + 158*x^5 - 630*x^4 + 1334*x^3 - 1418*x^2 + 588*x
FCDnW:
x^7 - 20*x^6 + 157*x^5 - 616*x^4 + 1269*x^3 - 1294*x^2 + 504*x
F@FJw:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1183*x^3 - 1116*x^2 + 385*x
F?drw:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1182*x^3 - 1106*x^2 + 364*x
F?NVW:
x^7 - 20*x^6 + 157*x^5 - 616*x^4 + 1271*x^3 - 1312*x^2 + 532*x
F@FNw:
x^7 - 22*x^6 + 190*x^5 - 822*x^4 + 1875*x^3 - 2138*x^2 + 952*x
F@KuW:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 745*x^3 - 590*x^2 + 168*x
comment: It has the same Laplacian polynomial as F@Maw.
F@G}w:
x^7 - 20*x^6 + 155*x^5 - 586*x^4 + 1113*x^3 - 978*x^2 + 315*x
F?K}w:
x^7 - 20*x^6 + 154*x^5 - 572*x^4 + 1053*x^3 - 896*x^2 + 280*x
F?K~w:
x^7 - 22*x^6 + 187*x^5 - 772*x^4 + 1591*x^3 - 1510*x^2 + 525*x
F?L^_:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 815*x^3 - 728*x^2 + 245*x
comment: It has the same Laplacian polynomial as F@Tcw.
FAEhw:
x^7 - 18*x^6 + 125*x^5 - 420*x^4 + 702*x^3 - 540*x^2 + 147*x
F?L\g:
x^7 - 18*x^6 + 125*x^5 - 422*x^4 + 717*x^3 - 572*x^2 + 168*x
F?L^G:
x^7 - 18*x^6 + 126*x^5 - 434*x^4 + 767*x^3 - 656*x^2 + 210*x
F?L[w:
x^7 - 18*x^6 + 123*x^5 - 396*x^4 + 612*x^3 - 432*x^2 + 112*x
F@D^W:
x^7 - 20*x^6 + 156*x^5 - 602*x^4 + 1201*x^3 - 1166*x^2 + 427*x
F?S|w:
x^7 - 20*x^6 + 154*x^5 - 572*x^4 + 1054*x^3 - 900*x^2 + 280*x
F?L^W:
x^7 - 20*x^6 + 155*x^5 - 588*x^4 + 1139*x^3 - 1068*x^2 + 378*x
F?L^w:
x^7 - 22*x^6 + 188*x^5 - 790*x^4 + 1702*x^3 - 1772*x^2 + 693*x
F?NN_:
x^7 - 18*x^6 + 128*x^5 - 460*x^4 + 884*x^3 - 864*x^2 + 336*x
F?drW:
x^7 - 18*x^6 + 126*x^5 - 434*x^4 + 766*x^3 - 646*x^2 + 196*x
F?LuW:
x^7 - 18*x^6 + 126*x^5 - 436*x^4 + 781*x^3 - 682*x^2 + 224*x
comment: It has the same Laplacian polynomial as F?D~O.
F?K}W:
x^7 - 18*x^6 + 124*x^5 - 410*x^4 + 671*x^3 - 508*x^2 + 140*x
F?Lkw:
x^7 - 18*x^6 + 124*x^5 - 410*x^4 + 673*x^3 - 518*x^2 + 147*x
F?NNg:
x^7 - 20*x^6 + 157*x^5 - 618*x^4 + 1288*x^3 - 1352*x^2 + 560*x
F?NJw:
x^7 - 20*x^6 + 155*x^5 - 588*x^4 + 1138*x^3 - 1058*x^2 + 364*x
F?NNw:
x^7 - 22*x^6 + 189*x^5 - 808*x^4 + 1812*x^3 - 2032*x^2 + 896*x
F@J]o:
x^7 - 20*x^6 + 159*x^5 - 644*x^4 + 1400*x^3 - 1544*x^2 + 672*x
F@J^o:
x^7 - 22*x^6 + 193*x^5 - 864*x^4 + 2082*x^3 - 2562*x^2 + 1260*x
F@J]w:
x^7 - 22*x^6 + 191*x^5 - 834*x^4 + 1928*x^3 - 2232*x^2 + 1008*x
F@J^w:
x^7 - 24*x^6 + 228*x^5 - 1094*x^4 + 2795*x^3 - 3610*x^2 + 1848*x
F@H}o:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1296*x^3 - 1304*x^2 + 483*x
comment: It has the same Laplacian polynomial as F@Xsw.
F?L~o:
x^7 - 22*x^6 + 191*x^5 - 830*x^4 + 1880*x^3 - 2068*x^2 + 840*x
F@H}w:
x^7 - 22*x^6 + 190*x^5 - 816*x^4 + 1816*x^3 - 1954*x^2 + 777*x
F?L|w:
x^7 - 22*x^6 + 188*x^5 - 782*x^4 + 1622*x^3 - 1540*x^2 + 525*x
F?L~w:
x^7 - 24*x^6 + 226*x^5 - 1056*x^4 + 2545*x^3 - 2952*x^2 + 1260*x
F@Fmo:
x^7 - 20*x^6 + 159*x^5 - 642*x^4 + 1389*x^3 - 1530*x^2 + 672*x
F?s~g:
x^7 - 22*x^6 + 192*x^5 - 848*x^4 + 1995*x^3 - 2374*x^2 + 1120*x
F@Fmw:
x^7 - 22*x^6 + 191*x^5 - 834*x^4 + 1930*x^3 - 2250*x^2 + 1036*x
F?L}w:
x^7 - 22*x^6 + 189*x^5 - 800*x^4 + 1733*x^3 - 1802*x^2 + 693*x
F?dzw:
x^7 - 22*x^6 + 189*x^5 - 800*x^4 + 1732*x^3 - 1792*x^2 + 672*x
F?N^W:
x^7 - 22*x^6 + 190*x^5 - 818*x^4 + 1845*x^3 - 2080*x^2 + 924*x
F?N^w:
x^7 - 24*x^6 + 227*x^5 - 1076*x^4 + 2686*x^3 - 3358*x^2 + 1652*x
F?N~o:
x^7 - 24*x^6 + 230*x^5 - 1124*x^4 + 2949*x^3 - 3940*x^2 + 2100*x
F?N~w:
x^7 - 26*x^6 + 268*x^5 - 1394*x^4 + 3847*x^3 - 5348*x^2 + 2940*x
FBXcw:
x^7 - 20*x^6 + 159*x^5 - 642*x^4 + 1377*x^3 - 1458*x^2 + 567*x
F?\sw:
x^7 - 20*x^6 + 157*x^5 - 614*x^4 + 1248*x^3 - 1232*x^2 + 448*x
FIO|w:
x^7 - 22*x^6 + 192*x^5 - 846*x^4 + 1968*x^3 - 2250*x^2 + 945*x
F?\tw:
x^7 - 22*x^6 + 191*x^5 - 830*x^4 + 1882*x^3 - 2074*x^2 + 840*x
F?\vw:
x^7 - 24*x^6 + 228*x^5 - 1090*x^4 + 2739*x^3 - 3366*x^2 + 1512*x
F?]v_:
x^7 - 20*x^6 + 160*x^5 - 656*x^4 + 1452*x^3 - 1640*x^2 + 735*x
F?lrg:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1244*x^2 + 420*x
comment: It has the same Laplacian polynomial as FI_xw and F_oxw.
F?\tg:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1298*x^3 - 1310*x^2 + 483*x
FBEmW:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1371*x^3 - 1480*x^2 + 630*x
F?L|o:
x^7 - 20*x^6 + 156*x^5 - 596*x^4 + 1144*x^3 - 1008*x^2 + 315*x
F?T|o:
x^7 - 20*x^6 + 157*x^5 - 612*x^4 + 1232*x^3 - 1196*x^2 + 427*x
F?v`w:
x^7 - 20*x^6 + 158*x^5 - 628*x^4 + 1321*x^3 - 1400*x^2 + 588*x
F?lvg:
x^7 - 22*x^6 + 193*x^5 - 862*x^4 + 2063*x^3 - 2502*x^2 + 1197*x
F?]rw:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1861*x^3 - 2008*x^2 + 777*x
F?]uw:
x^7 - 22*x^6 + 192*x^5 - 846*x^4 + 1977*x^3 - 2324*x^2 + 1078*x
F?]vw:
x^7 - 24*x^6 + 229*x^5 - 1108*x^4 + 2859*x^3 - 3724*x^2 + 1911*x
FIQ|o:
x^7 - 22*x^6 + 195*x^5 - 894*x^4 + 2238*x^3 - 2898*x^2 + 1512*x
F?\~_:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2013*x^3 - 2304*x^2 + 945*x
comment: It has the same Laplacian polynomial as F`G}w and FIK}W.
F?]~_:
x^7 - 22*x^6 + 194*x^5 - 876*x^4 + 2134*x^3 - 2658*x^2 + 1323*x
F?^vo:
x^7 - 24*x^6 + 232*x^5 - 1156*x^4 + 3132*x^3 - 4374*x^2 + 2457*x
FIQ|w:
x^7 - 24*x^6 + 231*x^5 - 1140*x^4 + 3042*x^3 - 4158*x^2 + 2268*x
F?^vw:
x^7 - 26*x^6 + 271*x^5 - 1446*x^4 + 4161*x^3 - 6120*x^2 + 3591*x
F?\~g:
x^7 - 24*x^6 + 229*x^5 - 1102*x^4 + 2784*x^3 - 3420*x^2 + 1512*x
F?\|w:
x^7 - 24*x^6 + 227*x^5 - 1068*x^4 + 2590*x^3 - 3006*x^2 + 1260*x
F?\~w:
x^7 - 26*x^6 + 268*x^5 - 1386*x^4 + 3735*x^3 - 4860*x^2 + 2268*x
F?^tw:
x^7 - 24*x^6 + 230*x^5 - 1122*x^4 + 2930*x^3 - 3880*x^2 + 2037*x
F?]}w:
x^7 - 24*x^6 + 228*x^5 - 1088*x^4 + 2733*x^3 - 3432*x^2 + 1694*x
F?]~w:
x^7 - 26*x^6 + 269*x^5 - 1408*x^4 + 3911*x^3 - 5462*x^2 + 3003*x
F?^~w:
x^7 - 28*x^6 + 314*x^5 - 1796*x^4 + 5505*x^3 - 8568*x^2 + 5292*x
F?~v_:
x^7 - 24*x^6 + 234*x^5 - 1192*x^4 + 3357*x^3 - 4968*x^2 + 3024*x
comment: This is the complete bipartite graph $K_{3,4}$.
F?~vg:
x^7 - 26*x^6 + 274*x^5 - 1500*x^4 + 4509*x^3 - 7074*x^2 + 4536*x
F?^~o:
x^7 - 26*x^6 + 272*x^5 - 1462*x^4 + 4251*x^3 - 6336*x^2 + 3780*x
F?~vw:
x^7 - 28*x^6 + 317*x^5 - 1856*x^4 + 5931*x^3 - 9828*x^2 + 6615*x
F?~~w:
x^7 - 30*x^6 + 363*x^5 - 2260*x^4 + 7623*x^3 - 13230*x^2 + 9261*x
F@Q?w:
x^7 - 12*x^6 + 54*x^5 - 114*x^4 + 114*x^3 - 48*x^2 + 7*x
F@Q@w:
x^7 - 14*x^6 + 74*x^5 - 186*x^4 + 226*x^3 - 118*x^2 + 21*x
F@QBw:
x^7 - 16*x^6 + 97*x^5 - 284*x^4 + 415*x^3 - 276*x^2 + 63*x
F@QFw:
x^7 - 18*x^6 + 123*x^5 - 412*x^4 + 711*x^3 - 594*x^2 + 189*x
F@HSO:
x^7 - 12*x^6 + 55*x^5 - 120*x^4 + 126*x^3 - 56*x^2 + 7*x
comment: This is the path $P_7$.
F@O\G:
x^7 - 14*x^6 + 75*x^5 - 194*x^4 + 249*x^3 - 144*x^2 + 28*x
FA_pW:
x^7 - 14*x^6 + 75*x^5 - 192*x^4 + 238*x^3 - 126*x^2 + 21*x
FHQ?w:
x^7 - 14*x^6 + 76*x^5 - 202*x^4 + 272*x^3 - 170*x^2 + 35*x
F@OsW:
x^7 - 14*x^6 + 75*x^5 - 192*x^4 + 237*x^3 - 124*x^2 + 21*x
F@R@o:
x^7 - 14*x^6 + 76*x^5 - 200*x^4 + 258*x^3 - 142*x^2 + 21*x
F@QGw:
x^7 - 14*x^6 + 74*x^5 - 184*x^4 + 220*x^3 - 116*x^2 + 21*x
FG_qw:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 461*x^3 - 328*x^2 + 77*x
FGEJg:
x^7 - 16*x^6 + 99*x^5 - 300*x^4 + 460*x^3 - 328*x^2 + 84*x
comment: It has the same Laplacian polynomial as F@H[o.
FG_Zg:
x^7 - 16*x^6 + 99*x^5 - 298*x^4 + 447*x^3 - 300*x^2 + 63*x
F`Q@w:
x^7 - 16*x^6 + 100*x^5 - 310*x^4 + 496*x^3 - 380*x^2 + 105*x
comment: It has the same Laplacian polynomial as FGSkg.
FA_hw:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 415*x^3 - 264*x^2 + 56*x
F@QHw:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 416*x^3 - 270*x^2 + 63*x
F`?^W:
x^7 - 18*x^6 + 126*x^5 - 438*x^4 + 792*x^3 - 698*x^2 + 231*x
FCHJw:
x^7 - 18*x^6 + 125*x^5 - 424*x^4 + 727*x^3 - 574*x^2 + 147*x
FGEJw:
x^7 - 18*x^6 + 125*x^5 - 424*x^4 + 728*x^3 - 584*x^2 + 168*x
F_Cnw:
x^7 - 20*x^6 + 155*x^5 - 596*x^4 + 1195*x^3 - 1176*x^2 + 441*x
FGC\W:
x^7 - 16*x^6 + 98*x^5 - 288*x^4 + 414*x^3 - 262*x^2 + 56*x
FGC^G:
x^7 - 16*x^6 + 99*x^5 - 298*x^4 + 445*x^3 - 294*x^2 + 63*x
FGC^W:
x^7 - 18*x^6 + 125*x^5 - 424*x^4 + 726*x^3 - 578*x^2 + 168*x
FGC\w:
x^7 - 18*x^6 + 124*x^5 - 410*x^4 + 663*x^3 - 472*x^2 + 112*x
FGC^w:
x^7 - 20*x^6 + 154*x^5 - 580*x^4 + 1109*x^3 - 1000*x^2 + 336*x
FK?}O:
x^7 - 16*x^6 + 101*x^5 - 320*x^4 + 535*x^3 - 448*x^2 + 147*x
FAMRW:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 811*x^3 - 708*x^2 + 224*x
F@QZo:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 797*x^3 - 680*x^2 + 210*x
F_W\g:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 866*x^3 - 818*x^2 + 301*x
FA_xw:
x^7 - 18*x^6 + 125*x^5 - 420*x^4 + 700*x^3 - 528*x^2 + 140*x
FAIXw:
x^7 - 18*x^6 + 125*x^5 - 420*x^4 + 701*x^3 - 534*x^2 + 147*x
FCHiw:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 747*x^3 - 590*x^2 + 147*x
FG_yw:
x^7 - 18*x^6 + 126*x^5 - 434*x^4 + 766*x^3 - 644*x^2 + 196*x
FGC}W:
x^7 - 18*x^6 + 126*x^5 - 434*x^4 + 765*x^3 - 644*x^2 + 203*x
FK?}W:
x^7 - 18*x^6 + 127*x^5 - 448*x^4 + 831*x^3 - 766*x^2 + 273*x
FA_~o:
x^7 - 20*x^6 + 158*x^5 - 630*x^4 + 1334*x^3 - 1420*x^2 + 595*x
F@`Zw:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1181*x^3 - 1100*x^2 + 364*x
F@QZw:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1182*x^3 - 1110*x^2 + 385*x
F_Dlw:
x^7 - 20*x^6 + 157*x^5 - 616*x^4 + 1269*x^3 - 1296*x^2 + 511*x
F@Q^w:
x^7 - 22*x^6 + 190*x^5 - 822*x^4 + 1874*x^3 - 2130*x^2 + 945*x
F@LSW:
x^7 - 16*x^6 + 99*x^5 - 298*x^4 + 448*x^3 - 308*x^2 + 77*x
F@Maw:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 745*x^3 - 590*x^2 + 168*x
comment: It has the same Laplacian polynomial as F@KuW.
FAStW:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 796*x^3 - 676*x^2 + 210*x
FGD\o:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 799*x^3 - 692*x^2 + 224*x
F@Lew:
x^7 - 20*x^6 + 157*x^5 - 614*x^4 + 1245*x^3 - 1220*x^2 + 448*x
F@_zw:
x^7 - 20*x^6 + 155*x^5 - 584*x^4 + 1095*x^3 - 930*x^2 + 280*x
FAG}w:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1181*x^3 - 1106*x^2 + 385*x
FGC}w:
x^7 - 20*x^6 + 156*x^5 - 600*x^4 + 1182*x^3 - 1114*x^2 + 392*x
F@O~w:
x^7 - 22*x^6 + 189*x^5 - 804*x^4 + 1762*x^3 - 1854*x^2 + 728*x
F`?}O:
x^7 - 16*x^6 + 101*x^5 - 316*x^4 + 499*x^3 - 348*x^2 + 63*x
FODZo:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 793*x^3 - 654*x^2 + 168*x
F_K^G:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 844*x^3 - 746*x^2 + 231*x
FGEZo:
x^7 - 18*x^6 + 127*x^5 - 442*x^4 + 778*x^3 - 626*x^2 + 168*x
comment: It has the same Laplacian polynomial as FAU`w.
FGEXw:
x^7 - 18*x^6 + 125*x^5 - 418*x^4 + 683*x^3 - 488*x^2 + 112*x
FGDkw:
x^7 - 18*x^6 + 126*x^5 - 432*x^4 + 747*x^3 - 596*x^2 + 168*x
comment: It has the same Laplacian polynomial as F@IZo.
F`?}W:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 795*x^3 - 666*x^2 + 189*x
F`C^W:
x^7 - 20*x^6 + 158*x^5 - 628*x^4 + 1311*x^3 - 1338*x^2 + 504*x
FODZw:
x^7 - 20*x^6 + 156*x^5 - 598*x^4 + 1159*x^3 - 1026*x^2 + 280*x
F_C~W:
x^7 - 20*x^6 + 157*x^5 - 614*x^4 + 1247*x^3 - 1224*x^2 + 441*x
FGEZw:
x^7 - 20*x^6 + 156*x^5 - 598*x^4 + 1161*x^3 - 1048*x^2 + 336*x
F_C~w:
x^7 - 22*x^6 + 190*x^5 - 820*x^4 + 1849*x^3 - 2038*x^2 + 840*x
F@`zo:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1292*x^3 - 1280*x^2 + 448*x
comment: It has the same Laplacian polynomial as FoCZw and FEGmw.
F@Q}o:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1366*x^3 - 1452*x^2 + 595*x
F@P|o:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1252*x^2 + 448*x
comment: It has the same Laplacian polynomial as F@L^G.
F_D|o:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1369*x^3 - 1470*x^2 + 616*x
F@`~o:
x^7 - 22*x^6 + 193*x^5 - 862*x^4 + 2059*x^3 - 2482*x^2 + 1176*x
F@`zw:
x^7 - 22*x^6 + 190*x^5 - 814*x^4 + 1792*x^3 - 1864*x^2 + 672*x
F@Q}w:
x^7 - 22*x^6 + 191*x^5 - 832*x^4 + 1906*x^3 - 2162*x^2 + 945*x
F@P|w:
x^7 - 22*x^6 + 190*x^5 - 814*x^4 + 1794*x^3 - 1886*x^2 + 728*x
F_D|w:
x^7 - 22*x^6 + 191*x^5 - 832*x^4 + 1907*x^3 - 2170*x^2 + 952*x
F@`~w:
x^7 - 24*x^6 + 228*x^5 - 1092*x^4 + 2769*x^3 - 3510*x^2 + 1736*x
F@P~o:
x^7 - 22*x^6 + 192*x^5 - 844*x^4 + 1944*x^3 - 2176*x^2 + 896*x
F@P~w:
x^7 - 24*x^6 + 227*x^5 - 1072*x^4 + 2628*x^3 - 3104*x^2 + 1344*x
F@R~o:
x^7 - 24*x^6 + 231*x^5 - 1140*x^4 + 3036*x^3 - 4128*x^2 + 2240*x
comment: It has the same Laplacian polynomial as FIefw.
F@R~w:
x^7 - 26*x^6 + 269*x^5 - 1412*x^4 + 3956*x^3 - 5600*x^2 + 3136*x
FHQSO:
x^7 - 14*x^6 + 77*x^5 - 210*x^4 + 294*x^3 - 196*x^2 + 49*x
comment: This is the cycle $C_7$.
FGSkg:
x^7 - 16*x^6 + 100*x^5 - 310*x^4 + 496*x^3 - 380*x^2 + 105*x
comment: It has the same Laplacian polynomial as F`Q@w.
FCXPW:
x^7 - 16*x^6 + 100*x^5 - 308*x^4 + 481*x^3 - 344*x^2 + 77*x
Fk?gw:
x^7 - 16*x^6 + 101*x^5 - 318*x^4 + 518*x^3 - 406*x^2 + 119*x
FK_qW:
x^7 - 16*x^6 + 101*x^5 - 320*x^4 + 532*x^3 - 434*x^2 + 133*x
FGC{o:
x^7 - 16*x^6 + 99*x^5 - 296*x^4 + 434*x^3 - 278*x^2 + 56*x
comment: It has the same Laplacian polynomial as F?K}_.
FICkW:
x^7 - 16*x^6 + 100*x^5 - 308*x^4 + 485*x^3 - 364*x^2 + 98*x
comment: It has the same Laplacian polynomial as F?L^?.
FKHGw:
x^7 - 16*x^6 + 100*x^5 - 308*x^4 + 482*x^3 - 346*x^2 + 77*x
F?L\_:
x^7 - 16*x^6 + 99*x^5 - 298*x^4 + 450*x^3 - 314*x^2 + 77*x
FGK]G:
x^7 - 16*x^6 + 100*x^5 - 308*x^4 + 484*x^3 - 360*x^2 + 98*x
F_StW:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 863*x^3 - 804*x^2 + 287*x
FGUPw:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 797*x^3 - 678*x^2 + 203*x
comment: It has the same Laplacian polynomial as F?Uro.
FOLQw:
x^7 - 18*x^6 + 127*x^5 - 442*x^4 + 778*x^3 - 620*x^2 + 147*x
FoCiw:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 848*x^3 - 768*x^2 + 259*x
FKG]W:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 864*x^3 - 804*x^2 + 280*x
FAN@w:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 796*x^3 - 674*x^2 + 203*x
FAYPw:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 798*x^3 - 684*x^2 + 210*x
F_YPw:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 849*x^3 - 776*x^2 + 273*x
F@YPw:
x^7 - 18*x^6 + 126*x^5 - 430*x^4 + 731*x^3 - 560*x^2 + 147*x
FaG\w:
x^7 - 20*x^6 + 158*x^5 - 628*x^4 + 1315*x^3 - 1360*x^2 + 532*x
FB_mw:
x^7 - 20*x^6 + 158*x^5 - 628*x^4 + 1316*x^3 - 1370*x^2 + 553*x
F@YRw:
x^7 - 20*x^6 + 157*x^5 - 612*x^4 + 1227*x^3 - 1164*x^2 + 385*x
F@YVw:
x^7 - 22*x^6 + 191*x^5 - 836*x^4 + 1938*x^3 - 2244*x^2 + 1008*x
FGLSW:
x^7 - 16*x^6 + 100*x^5 - 310*x^4 + 498*x^3 - 388*x^2 + 112*x
F@Tcw:
x^7 - 18*x^6 + 127*x^5 - 446*x^4 + 815*x^3 - 728*x^2 + 245*x
comment: It has the same Laplacian polynomial as F?L^_.
FGLSw:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 800*x^3 - 696*x^2 + 224*x
F@Tdw:
x^7 - 20*x^6 + 157*x^5 - 614*x^4 + 1249*x^3 - 1240*x^2 + 462*x
F@Tfw:
x^7 - 22*x^6 + 190*x^5 - 820*x^4 + 1850*x^3 - 2046*x^2 + 847*x
F@Umg:
x^7 - 20*x^6 + 159*x^5 - 642*x^4 + 1385*x^3 - 1510*x^2 + 651*x
F@Xsw:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1296*x^3 - 1304*x^2 + 483*x
comment: It has the same Laplacian polynomial as F@H}o.
F@hqw:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1246*x^2 + 427*x
FBJKw:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1370*x^3 - 1474*x^2 + 623*x
F@Y^_:
x^7 - 20*x^6 + 160*x^5 - 654*x^4 + 1440*x^3 - 1620*x^2 + 728*x
F@Lkw:
x^7 - 20*x^6 + 156*x^5 - 596*x^4 + 1143*x^3 - 1002*x^2 + 315*x
F@h^g:
x^7 - 22*x^6 + 193*x^5 - 862*x^4 + 2063*x^3 - 2504*x^2 + 1204*x
F@Y]w:
x^7 - 22*x^6 + 192*x^5 - 846*x^4 + 1975*x^3 - 2308*x^2 + 1057*x
F@Ujw:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1860*x^3 - 2002*x^2 + 777*x
F@Y^w:
x^7 - 24*x^6 + 229*x^5 - 1108*x^4 + 2858*x^3 - 3716*x^2 + 1904*x
FHTcw:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1347*x^3 - 1390*x^2 + 525*x
F@Tkw:
x^7 - 20*x^6 + 157*x^5 - 612*x^4 + 1232*x^3 - 1194*x^2 + 427*x
FHO}w:
x^7 - 22*x^6 + 192*x^5 - 844*x^4 + 1948*x^3 - 2196*x^2 + 910*x
FALlw:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1862*x^3 - 2020*x^2 + 805*x
F@Tlw:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1861*x^3 - 2012*x^2 + 798*x
FGL^w:
x^7 - 24*x^6 + 228*x^5 - 1088*x^4 + 2716*x^3 - 3296*x^2 + 1463*x
FAdl_:
x^7 - 18*x^6 + 129*x^5 - 470*x^4 + 917*x^3 - 908*x^2 + 357*x
F@U^?:
x^7 - 18*x^6 + 129*x^5 - 468*x^4 + 903*x^3 - 882*x^2 + 343*x
FBebW:
x^7 - 20*x^6 + 160*x^5 - 654*x^4 + 1437*x^3 - 1604*x^2 + 707*x
F@fbo:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1421*x^3 - 1568*x^2 + 686*x
FHQZo:
x^7 - 20*x^6 + 159*x^5 - 636*x^4 + 1327*x^3 - 1328*x^2 + 462*x
FBO|W:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1281*x^3 - 1272*x^2 + 462*x
FHQ[w:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1350*x^3 - 1412*x^2 + 560*x
FHQ^o:
x^7 - 22*x^6 + 194*x^5 - 876*x^4 + 2132*x^3 - 2648*x^2 + 1309*x
FD`jw:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2043*x^3 - 2442*x^2 + 1141*x
F@jRw:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2044*x^3 - 2452*x^2 + 1162*x
FHQZw:
x^7 - 22*x^6 + 192*x^5 - 842*x^4 + 1928*x^3 - 2134*x^2 + 847*x
FHQ^w:
x^7 - 24*x^6 + 230*x^5 - 1124*x^4 + 2948*x^3 - 3930*x^2 + 2079*x
F@W}g:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1280*x^3 - 1268*x^2 + 462*x
F@L[w:
x^7 - 20*x^6 + 155*x^5 - 582*x^4 + 1082*x^3 - 916*x^2 + 280*x
F@T\W:
x^7 - 20*x^6 + 157*x^5 - 612*x^4 + 1230*x^3 - 1184*x^2 + 420*x
F@Lmw:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1860*x^3 - 2008*x^2 + 798*x
F@MZw:
x^7 - 22*x^6 + 189*x^5 - 794*x^4 + 1663*x^3 - 1570*x^2 + 525*x
FAS|w:
x^7 - 22*x^6 + 190*x^5 - 812*x^4 + 1775*x^3 - 1840*x^2 + 700*x
FAK~W:
x^7 - 22*x^6 + 191*x^5 - 828*x^4 + 1861*x^3 - 2016*x^2 + 805*x
F@L^w:
x^7 - 24*x^6 + 227*x^5 - 1070*x^4 + 2605*x^3 - 3034*x^2 + 1295*x
F@Vcw:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1371*x^3 - 1484*x^2 + 637*x
F@U^W:
x^7 - 22*x^6 + 192*x^5 - 846*x^4 + 1976*x^3 - 2318*x^2 + 1071*x
F@UZw:
x^7 - 22*x^6 + 190*x^5 - 812*x^4 + 1776*x^3 - 1844*x^2 + 693*x
F@U^w:
x^7 - 24*x^6 + 228*x^5 - 1090*x^4 + 2748*x^3 - 3456*x^2 + 1701*x
FHQ}o:
x^7 - 22*x^6 + 195*x^5 - 890*x^4 + 2204*x^3 - 2806*x^2 + 1435*x
FGN^o:
x^7 - 24*x^6 + 232*x^5 - 1154*x^4 + 3109*x^3 - 4294*x^2 + 2373*x
FGU|w:
x^7 - 24*x^6 + 230*x^5 - 1120*x^4 + 2906*x^3 - 3790*x^2 + 1932*x
FGL}w:
x^7 - 24*x^6 + 229*x^5 - 1100*x^4 + 2762*x^3 - 3352*x^2 + 1463*x
FHQ}w:
x^7 - 24*x^6 + 231*x^5 - 1138*x^4 + 3020*x^3 - 4088*x^2 + 2205*x
FGN^w:
x^7 - 26*x^6 + 271*x^5 - 1444*x^4 + 4135*x^3 - 6020*x^2 + 3479*x
F@d~o:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2994*x^3 - 3988*x^2 + 2093*x
F@Vlw:
x^7 - 24*x^6 + 230*x^5 - 1120*x^4 + 2906*x^3 - 3792*x^2 + 1946*x
F@dzw:
x^7 - 24*x^6 + 228*x^5 - 1082*x^4 + 2650*x^3 - 3078*x^2 + 1260*x
F@T|w:
x^7 - 24*x^6 + 228*x^5 - 1082*x^4 + 2651*x^3 - 3090*x^2 + 1295*x
F@U}w:
x^7 - 24*x^6 + 229*x^5 - 1102*x^4 + 2794*x^3 - 3514*x^2 + 1715*x
FGN\w:
x^7 - 24*x^6 + 230*x^5 - 1120*x^4 + 2907*x^3 - 3800*x^2 + 1953*x
FAM~w:
x^7 - 26*x^6 + 270*x^5 - 1424*x^4 + 3994*x^3 - 5614*x^2 + 3087*x
F@T~o:
x^7 - 24*x^6 + 230*x^5 - 1116*x^4 + 2848*x^3 - 3528*x^2 + 1568*x
F@T~w:
x^7 - 26*x^6 + 269*x^5 - 1402*x^4 + 3818*x^3 - 5012*x^2 + 2352*x
F@V~o:
x^7 - 26*x^6 + 273*x^5 - 1478*x^4 + 4338*x^3 - 6524*x^2 + 3920*x
comment: It has the same Laplacian polynomial as FoL^w.
F@V~w:
x^7 - 28*x^6 + 315*x^5 - 1814*x^4 + 5614*x^3 - 8820*x^2 + 5488*x
FCX_w:
x^7 - 16*x^6 + 100*x^5 - 310*x^4 + 493*x^3 - 364*x^2 + 84*x
FK`_w:
x^7 - 16*x^6 + 101*x^5 - 318*x^4 + 514*x^3 - 382*x^2 + 84*x
F_KuW:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 859*x^3 - 780*x^2 + 252*x
comment: It has the same Laplacian polynomial as F?\t_.
FOTPw:
x^7 - 18*x^6 + 127*x^5 - 444*x^4 + 794*x^3 - 656*x^2 + 168*x
F`CmW:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 846*x^3 - 752*x^2 + 231*x
F`G]w:
x^7 - 20*x^6 + 158*x^5 - 628*x^4 + 1313*x^3 - 1344*x^2 + 504*x
F_Krw:
x^7 - 20*x^6 + 157*x^5 - 612*x^4 + 1223*x^3 - 1128*x^2 + 315*x
F_Kvw:
x^7 - 22*x^6 + 191*x^5 - 836*x^4 + 1935*x^3 - 2214*x^2 + 945*x
F?\t_:
x^7 - 18*x^6 + 128*x^5 - 458*x^4 + 859*x^3 - 780*x^2 + 252*x
comment: It has the same Laplacian polynomial as F_KuW.
FK_yo:
x^7 - 18*x^6 + 129*x^5 - 470*x^4 + 914*x^3 - 892*x^2 + 336*x
F@\cg:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 847*x^3 - 760*x^2 + 245*x
F`KqW:
x^7 - 18*x^6 + 128*x^5 - 454*x^4 + 825*x^3 - 686*x^2 + 168*x
comment: It has the same Laplacian polynomial as F_opw.
FCdj_:
x^7 - 18*x^6 + 129*x^5 - 468*x^4 + 899*x^3 - 856*x^2 + 308*x
FDhaw:
x^7 - 20*x^6 + 160*x^5 - 654*x^4 + 1433*x^3 - 1580*x^2 + 672*x
FBZ@w:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1343*x^3 - 1364*x^2 + 483*x
FDUbW:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1419*x^3 - 1552*x^2 + 658*x
F`IZo:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1418*x^3 - 1546*x^2 + 651*x
FI_xw:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1244*x^2 + 420*x
comment: It has the same Laplacian polynomial as F?lrg and F_oxw.
FaG{w:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1348*x^3 - 1396*x^2 + 532*x
F`H[w:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1368*x^3 - 1456*x^2 + 588*x
FBZDw:
x^7 - 22*x^6 + 194*x^5 - 876*x^4 + 2130*x^3 - 2632*x^2 + 1281*x
FSOzw:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2416*x^2 + 1092*x
comment: It has the same Laplacian polynomial as F`H\w.
FI_zw:
x^7 - 22*x^6 + 192*x^5 - 842*x^4 + 1924*x^3 - 2098*x^2 + 777*x
FB`lw:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2041*x^3 - 2426*x^2 + 1113*x
F`H\w:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2416*x^2 + 1092*x
comment: It has the same Laplacian polynomial as FSOzw.
FI_~w:
x^7 - 24*x^6 + 230*x^5 - 1124*x^4 + 2945*x^3 - 3900*x^2 + 2016*x
FKcqW:
x^7 - 18*x^6 + 129*x^5 - 468*x^4 + 896*x^3 - 840*x^2 + 287*x
F@Tl_:
x^7 - 18*x^6 + 128*x^5 - 454*x^4 + 829*x^3 - 712*x^2 + 210*x
FAdtO:
x^7 - 18*x^6 + 129*x^5 - 466*x^4 + 881*x^3 - 808*x^2 + 273*x
F@LuO:
x^7 - 18*x^6 + 128*x^5 - 454*x^4 + 831*x^3 - 724*x^2 + 224*x
F`Maw:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1414*x^3 - 1522*x^2 + 616*x
FDdbW:
x^7 - 20*x^6 + 160*x^5 - 650*x^4 + 1395*x^3 - 1462*x^2 + 553*x
FJQHw:
x^7 - 20*x^6 + 159*x^5 - 636*x^4 + 1325*x^3 - 1316*x^2 + 448*x
F@nBg:
x^7 - 20*x^6 + 160*x^5 - 650*x^4 + 1399*x^3 - 1494*x^2 + 616*x
F`Oxw:
x^7 - 20*x^6 + 158*x^5 - 620*x^4 + 1235*x^3 - 1106*x^2 + 280*x
FoCyw:
x^7 - 20*x^6 + 159*x^5 - 636*x^4 + 1329*x^3 - 1346*x^2 + 504*x
FJQLw:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2106*x^3 - 2542*x^2 + 1176*x
F`_zw:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2017*x^3 - 2336*x^2 + 1008*x
comment: It has the same Laplacian polynomial as FDPlw.
FDPlw:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2017*x^3 - 2336*x^2 + 1008*x
comment: It has the same Laplacian polynomial as F`_zw.
FGdrw:
x^7 - 22*x^6 + 192*x^5 - 840*x^4 + 1902*x^3 - 2030*x^2 + 728*x
F@ptw:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2019*x^3 - 2358*x^2 + 1064*x
FGdvw:
x^7 - 24*x^6 + 230*x^5 - 1122*x^4 + 2919*x^3 - 3800*x^2 + 1904*x
F@]eg:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1418*x^3 - 1548*x^2 + 658*x
F@X\g:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1278*x^3 - 1256*x^2 + 448*x
F@UuW:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1349*x^3 - 1410*x^2 + 567*x
FHFKw:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1351*x^3 - 1420*x^2 + 574*x
FB_zW:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1278*x^3 - 1250*x^2 + 427*x
FAgzg:
x^7 - 20*x^6 + 158*x^5 - 622*x^4 + 1258*x^3 - 1192*x^2 + 385*x
FEHkw:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1348*x^3 - 1402*x^2 + 553*x
F`Dkw:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1367*x^3 - 1456*x^2 + 595*x
FAK|W:
x^7 - 20*x^6 + 156*x^5 - 594*x^4 + 1125*x^3 - 956*x^2 + 280*x
FCLZW:
x^7 - 20*x^6 + 157*x^5 - 610*x^4 + 1213*x^3 - 1140*x^2 + 378*x
F@S}W:
x^7 - 20*x^6 + 157*x^5 - 610*x^4 + 1212*x^3 - 1136*x^2 + 385*x
FGL[w:
x^7 - 20*x^6 + 157*x^5 - 610*x^4 + 1214*x^3 - 1148*x^2 + 392*x
F_YXw:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1301*x^3 - 1334*x^2 + 525*x
F@huw:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2041*x^3 - 2432*x^2 + 1134*x
FDO~W:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2422*x^2 + 1113*x
FCLjw:
x^7 - 22*x^6 + 191*x^5 - 826*x^4 + 1838*x^3 - 1928*x^2 + 693*x
FAMjw:
x^7 - 22*x^6 + 191*x^5 - 826*x^4 + 1839*x^3 - 1940*x^2 + 728*x
F@qZw:
x^7 - 22*x^6 + 192*x^5 - 844*x^4 + 1953*x^3 - 2236*x^2 + 987*x
F_S|w:
x^7 - 22*x^6 + 192*x^5 - 844*x^4 + 1953*x^3 - 2234*x^2 + 973*x
FGc~w:
x^7 - 24*x^6 + 229*x^5 - 1106*x^4 + 2833*x^3 - 3624*x^2 + 1799*x
F`KuW:
x^7 - 20*x^6 + 160*x^5 - 650*x^4 + 1391*x^3 - 1434*x^2 + 504*x
F`Gyw:
x^7 - 20*x^6 + 158*x^5 - 622*x^4 + 1254*x^3 - 1158*x^2 + 315*x
F`FHw:
x^7 - 20*x^6 + 159*x^5 - 636*x^4 + 1325*x^3 - 1314*x^2 + 441*x
FOLYw:
x^7 - 20*x^6 + 157*x^5 - 608*x^4 + 1190*x^3 - 1056*x^2 + 280*x
F_oxw:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1244*x^2 + 420*x
comment: It has the same Laplacian polynomial as F?lrg and FI_xw.
F`G}w:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2013*x^3 - 2304*x^2 + 945*x
comment: It has the same Laplacian polynomial as F?\~_ and FIK}W.
F_Kzw:
x^7 - 22*x^6 + 191*x^5 - 824*x^4 + 1811*x^3 - 1810*x^2 + 525*x
F_K}w:
x^7 - 22*x^6 + 192*x^5 - 842*x^4 + 1927*x^3 - 2128*x^2 + 840*x
F_K~w:
x^7 - 24*x^6 + 229*x^5 - 1104*x^4 + 2803*x^3 - 3480*x^2 + 1575*x
F@Neo:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1420*x^3 - 1560*x^2 + 672*x
comment: It has the same Laplacian polynomial as FIe`w.
F@NMg:
x^7 - 20*x^6 + 159*x^5 - 638*x^4 + 1347*x^3 - 1392*x^2 + 532*x
F@L^G:
x^7 - 20*x^6 + 158*x^5 - 624*x^4 + 1277*x^3 - 1252*x^2 + 448*x
comment: It has the same Laplacian polynomial as F@P|o.
FB`kw:
x^7 - 20*x^6 + 159*x^5 - 640*x^4 + 1366*x^3 - 1450*x^2 + 588*x
F@ozg:
x^7 - 20*x^6 + 158*x^5 - 622*x^4 + 1258*x^3 - 1194*x^2 + 392*x
F@K}W:
x^7 - 20*x^6 + 156*x^5 - 594*x^4 + 1123*x^3 - 946*x^2 + 280*x
F@NNg:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2424*x^2 + 1120*x
comment: It has the same Laplacian polynomial as F@o~g and FCdzo.
F@o~g:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2424*x^2 + 1120*x
comment: It has the same Laplacian polynomial as F@NNg and FCdzo.
F@o}w:
x^7 - 22*x^6 + 192*x^5 - 844*x^4 + 1951*x^3 - 2218*x^2 + 952*x
F@NJw:
x^7 - 22*x^6 + 191*x^5 - 826*x^4 + 1838*x^3 - 1934*x^2 + 728*x
F@o~w:
x^7 - 24*x^6 + 229*x^5 - 1106*x^4 + 2832*x^3 - 3616*x^2 + 1792*x
FK`zo:
x^7 - 22*x^6 + 195*x^5 - 890*x^4 + 2196*x^3 - 2752*x^2 + 1344*x
FK`~o:
x^7 - 24*x^6 + 233*x^5 - 1170*x^4 + 3198*x^3 - 4494*x^2 + 2520*x
comment: It has the same Laplacian polynomial as FIU|o.
FK`zw:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2992*x^3 - 3960*x^2 + 2016*x
comment: It has the same Laplacian polynomial as FI`|w.
FK`~w:
x^7 - 26*x^6 + 272*x^5 - 1462*x^4 + 4247*x^3 - 6296*x^2 + 3696*x
comment: It has the same Laplacian polynomial as FBY^w.
FI`|o:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2177*x^3 - 2692*x^2 + 1281*x
FC\ng:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3082*x^3 - 4176*x^2 + 2205*x
FI`|w:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2992*x^3 - 3960*x^2 + 2016*x
comment: It has the same Laplacian polynomial as FK`zw.
FCXzw:
x^7 - 24*x^6 + 229*x^5 - 1098*x^4 + 2734*x^3 - 3222*x^2 + 1260*x
FGezw:
x^7 - 24*x^6 + 230*x^5 - 1118*x^4 + 2880*x^3 - 3684*x^2 + 1799*x
F_L|w:
x^7 - 24*x^6 + 230*x^5 - 1118*x^4 + 2880*x^3 - 3682*x^2 + 1785*x
FCX~w:
x^7 - 26*x^6 + 271*x^5 - 1442*x^4 + 4105*x^3 - 5876*x^2 + 3255*x
FGd~_:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2181*x^3 - 2724*x^2 + 1344*x
FG]^g:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3083*x^3 - 4188*x^2 + 2240*x
FGd~g:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2994*x^3 - 3982*x^2 + 2072*x
comment: It has the same Laplacian polynomial as FAmrw.
FGdzw:
x^7 - 24*x^6 + 229*x^5 - 1098*x^4 + 2736*x^3 - 3248*x^2 + 1344*x
F@p|w:
x^7 - 24*x^6 + 230*x^5 - 1118*x^4 + 2881*x^3 - 3698*x^2 + 1848*x
FGd~w:
x^7 - 26*x^6 + 271*x^5 - 1442*x^4 + 4106*x^3 - 5890*x^2 + 3304*x
F_N~o:
x^7 - 26*x^6 + 274*x^5 - 1496*x^4 + 4453*x^3 - 6830*x^2 + 4200*x
F_N~w:
x^7 - 28*x^6 + 316*x^5 - 1834*x^4 + 5755*x^3 - 9226*x^2 + 5880*x
FEOhW:
x^7 - 16*x^6 + 100*x^5 - 306*x^4 + 466*x^3 - 310*x^2 + 56*x
FGW[g:
x^7 - 16*x^6 + 100*x^5 - 306*x^4 + 466*x^3 - 312*x^2 + 63*x
F?K}_:
x^7 - 16*x^6 + 99*x^5 - 296*x^4 + 434*x^3 - 278*x^2 + 56*x
comment: It has the same Laplacian polynomial as FGC{o.
FoCZW:
x^7 - 18*x^6 + 128*x^5 - 456*x^4 + 844*x^3 - 744*x^2 + 224*x
FWCYw:
x^7 - 18*x^6 + 127*x^5 - 440*x^4 + 759*x^3 - 568*x^2 + 112*x
F_opw:
x^7 - 18*x^6 + 128*x^5 - 454*x^4 + 825*x^3 - 686*x^2 + 168*x
comment: It has the same Laplacian polynomial as F`KqW.
FAU`w:
x^7 - 18*x^6 + 127*x^5 - 442*x^4 + 778*x^3 - 626*x^2 + 168*x
comment: It has the same Laplacian polynomial as FGEZo.
F@N@w:
x^7 - 18*x^6 + 126*x^5 - 428*x^4 + 711*x^3 - 504*x^2 + 112*x
FoCZw:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1292*x^3 - 1280*x^2 + 448*x
comment: It has the same Laplacian polynomial as F@`zo and FEGmw.
FEGmw:
x^7 - 20*x^6 + 158*x^5 - 626*x^4 + 1292*x^3 - 1280*x^2 + 448*x
comment: It has the same Laplacian polynomial as F@`zo and FoCZw.
F@NBw:
x^7 - 20*x^6 + 157*x^5 - 610*x^4 + 1205*x^3 - 1096*x^2 + 336*x
F@NFw:
x^7 - 22*x^6 + 191*x^5 - 834*x^4 + 1912*x^3 - 2144*x^2 + 896*x
F@K}w:
x^7 - 22*x^6 + 189*x^5 - 794*x^4 + 1661*x^3 - 1560*x^2 + 525*x
F@K~w:
x^7 - 24*x^6 + 225*x^5 - 1032*x^4 + 2355*x^3 - 2400*x^2 + 875*x
F@N^o:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2994*x^3 - 3990*x^2 + 2100*x
F@N]w:
x^7 - 24*x^6 + 229*x^5 - 1102*x^4 + 2792*x^3 - 3496*x^2 + 1680*x
F@N^W:
x^7 - 24*x^6 + 230*x^5 - 1120*x^4 + 2905*x^3 - 3784*x^2 + 1932*x
F@L}w:
x^7 - 24*x^6 + 228*x^5 - 1082*x^4 + 2650*x^3 - 3084*x^2 + 1295*x
F@N^w:
x^7 - 26*x^6 + 270*x^5 - 1424*x^4 + 3993*x^3 - 5606*x^2 + 3080*x
F@L~o:
x^7 - 24*x^6 + 229*x^5 - 1098*x^4 + 2736*x^3 - 3260*x^2 + 1400*x
F@L|w:
x^7 - 24*x^6 + 226*x^5 - 1044*x^4 + 2400*x^3 - 2450*x^2 + 875*x
F@L~w:
x^7 - 26*x^6 + 268*x^5 - 1382*x^4 + 3679*x^3 - 4640*x^2 + 2100*x
F@N~o:
x^7 - 26*x^6 + 272*x^5 - 1458*x^4 + 4195*x^3 - 6100*x^2 + 3500*x
F@N~w:
x^7 - 28*x^6 + 314*x^5 - 1792*x^4 + 5441*x^3 - 8260*x^2 + 4900*x
FBY^G:
x^7 - 22*x^6 + 195*x^5 - 892*x^4 + 2219*x^3 - 2838*x^2 + 1449*x
FIK}W:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2013*x^3 - 2304*x^2 + 945*x
comment: It has the same Laplacian polynomial as F?\~_ and F`G}w.
FIo|g:
x^7 - 22*x^6 + 195*x^5 - 890*x^4 + 2204*x^3 - 2804*x^2 + 1428*x
F@\sw:
x^7 - 22*x^6 + 192*x^5 - 842*x^4 + 1926*x^3 - 2122*x^2 + 840*x
FC\rW:
x^7 - 22*x^6 + 193*x^5 - 856*x^4 + 1990*x^3 - 2218*x^2 + 840*x
FCdzo:
x^7 - 22*x^6 + 193*x^5 - 860*x^4 + 2040*x^3 - 2424*x^2 + 1120*x
comment: It has the same Laplacian polynomial as F@NNg and F@o~g.
FAY|o:
x^7 - 22*x^6 + 194*x^5 - 876*x^4 + 2130*x^3 - 2634*x^2 + 1288*x
FINLw:
x^7 - 24*x^6 + 232*x^5 - 1154*x^4 + 3109*x^3 - 4288*x^2 + 2352*x
comment: It has the same Laplacian polynomial as FC\vW.
FBYZw:
x^7 - 24*x^6 + 230*x^5 - 1116*x^4 + 2847*x^3 - 3510*x^2 + 1512*x
FAmrw:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2994*x^3 - 3982*x^2 + 2072*x
comment: It has the same Laplacian polynomial as FGd~g.
FC\vW:
x^7 - 24*x^6 + 232*x^5 - 1154*x^4 + 3109*x^3 - 4288*x^2 + 2352*x
comment: It has the same Laplacian polynomial as FINLw.
FBY^w:
x^7 - 26*x^6 + 272*x^5 - 1462*x^4 + 4247*x^3 - 6296*x^2 + 3696*x
comment: It has the same Laplacian polynomial as FK`~w.
FBY^?:
x^7 - 20*x^6 + 161*x^5 - 668*x^4 + 1507*x^3 - 1752*x^2 + 819*x
FLr@w:
x^7 - 22*x^6 + 196*x^5 - 906*x^4 + 2294*x^3 - 3020*x^2 + 1617*x
FF`jW:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2183*x^3 - 2738*x^2 + 1365*x
comment: It has the same Laplacian polynomial as FHU^G.
FAM~O:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2114*x^3 - 2598*x^2 + 1267*x
F_L|o:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2090*x^3 - 2506*x^2 + 1155*x
F@N^O:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2113*x^3 - 2592*x^2 + 1260*x
Fk_zw:
x^7 - 24*x^6 + 233*x^5 - 1170*x^4 + 3204*x^3 - 4540*x^2 + 2604*x
FC^bw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3088*x^3 - 4222*x^2 + 2289*x
FGnRw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3089*x^3 - 4232*x^2 + 2310*x
F_]vw:
x^7 - 26*x^6 + 273*x^5 - 1480*x^4 + 4367*x^3 - 6654*x^2 + 4095*x
F_|tg:
x^7 - 24*x^6 + 234*x^5 - 1186*x^4 + 3296*x^3 - 4762*x^2 + 2793*x
FFo~W:
x^7 - 26*x^6 + 275*x^5 - 1514*x^4 + 4575*x^3 - 7194*x^2 + 4599*x
FWN]w:
x^7 - 26*x^6 + 274*x^5 - 1496*x^4 + 4459*x^3 - 6876*x^2 + 4284*x
comment: It has the same Laplacian polynomial as FC^vW.
FC^vW:
x^7 - 26*x^6 + 274*x^5 - 1496*x^4 + 4459*x^3 - 6876*x^2 + 4284*x
comment: It has the same Laplacian polynomial as FWN]w.
FENnw:
x^7 - 28*x^6 + 318*x^5 - 1872*x^4 + 6017*x^3 - 10004*x^2 + 6720*x
FBd~W:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4313*x^3 - 6416*x^2 + 3759*x
FC\zw:
x^7 - 26*x^6 + 270*x^5 - 1416*x^4 + 3879*x^3 - 5076*x^2 + 2268*x
FAmzw:
x^7 - 26*x^6 + 271*x^5 - 1438*x^4 + 4058*x^3 - 5714*x^2 + 3108*x
FC\~W:
x^7 - 26*x^6 + 272*x^5 - 1458*x^4 + 4201*x^3 - 6138*x^2 + 3528*x
FC\~w:
x^7 - 28*x^6 + 316*x^5 - 1830*x^4 + 5699*x^3 - 8982*x^2 + 5544*x
FBNmw:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4314*x^3 - 6428*x^2 + 3794*x
F@t~g:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4315*x^3 - 6438*x^2 + 3815*x
F@\}w:
x^7 - 26*x^6 + 270*x^5 - 1416*x^4 + 3881*x^3 - 5102*x^2 + 2352*x
F@]}w:
x^7 - 26*x^6 + 271*x^5 - 1438*x^4 + 4059*x^3 - 5728*x^2 + 3157*x
F@^^w:
x^7 - 28*x^6 + 316*x^5 - 1830*x^4 + 5700*x^3 - 8996*x^2 + 5593*x
FG]}w:
x^7 - 26*x^6 + 272*x^5 - 1458*x^4 + 4201*x^3 - 6140*x^2 + 3542*x
F_]~w:
x^7 - 28*x^6 + 317*x^5 - 1852*x^4 + 5875*x^3 - 9584*x^2 + 6279*x
F@v~w:
x^7 - 30*x^6 + 365*x^5 - 2298*x^4 + 7873*x^3 - 13888*x^2 + 9849*x
FBejW:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2111*x^3 - 2574*x^2 + 1225*x
FEXhw:
x^7 - 22*x^6 + 193*x^5 - 854*x^4 + 1971*x^3 - 2166*x^2 + 805*x
FELlW:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2092*x^3 - 2524*x^2 + 1197*x
FGlug:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2184*x^3 - 2744*x^2 + 1372*x
FBUlW:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2087*x^3 - 2484*x^2 + 1120*x
FIS|W:
x^7 - 22*x^6 + 193*x^5 - 856*x^4 + 1995*x^3 - 2256*x^2 + 910*x
FBMmW:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2091*x^3 - 2516*x^2 + 1183*x
FJQ\W:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2181*x^3 - 2720*x^2 + 1330*x
FAd|o:
x^7 - 22*x^6 + 193*x^5 - 858*x^4 + 2022*x^3 - 2376*x^2 + 1085*x
FAizo:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2088*x^3 - 2492*x^2 + 1134*x
F@L}o:
x^7 - 22*x^6 + 192*x^5 - 840*x^4 + 1906*x^3 - 2066*x^2 + 805*x
FG[}g:
x^7 - 22*x^6 + 193*x^5 - 856*x^4 + 1994*x^3 - 2252*x^2 + 910*x
F@h}o:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2111*x^3 - 2580*x^2 + 1246*x
FEW~W:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3086*x^3 - 4208*x^2 + 2268*x
comment: It has the same Laplacian polynomial as FG^Tw.
FHNMw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3085*x^3 - 4198*x^2 + 2247*x
FClrw:
x^7 - 24*x^6 + 231*x^5 - 1134*x^4 + 2970*x^3 - 3892*x^2 + 1967*x
FA]rw:
x^7 - 24*x^6 + 230*x^5 - 1114*x^4 + 2825*x^3 - 3442*x^2 + 1463*x
F@nRw:
x^7 - 24*x^6 + 231*x^5 - 1134*x^4 + 2972*x^3 - 3914*x^2 + 2023*x
FG^Tw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3086*x^3 - 4208*x^2 + 2268*x
comment: It has the same Laplacian polynomial as FEW~W.
FA]vw:
x^7 - 26*x^6 + 272*x^5 - 1460*x^4 + 4221*x^3 - 6196*x^2 + 3584*x
FG\sw:
x^7 - 22*x^6 + 193*x^5 - 856*x^4 + 1992*x^3 - 2240*x^2 + 896*x
FIS|w:
x^7 - 24*x^6 + 230*x^5 - 1116*x^4 + 2850*x^3 - 3540*x^2 + 1575*x
FA\tw:
x^7 - 24*x^6 + 230*x^5 - 1116*x^4 + 2849*x^3 - 3532*x^2 + 1568*x
F@\tw:
x^7 - 24*x^6 + 229*x^5 - 1098*x^4 + 2738*x^3 - 3270*x^2 + 1400*x
F@\vw:
x^7 - 26*x^6 + 270*x^5 - 1420*x^4 + 3929*x^3 - 5274*x^2 + 2520*x
FHL[w:
x^7 - 22*x^6 + 192*x^5 - 840*x^4 + 1908*x^3 - 2076*x^2 + 805*x
F@T|o:
x^7 - 22*x^6 + 192*x^5 - 840*x^4 + 1906*x^3 - 2064*x^2 + 798*x
F@]uW:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2089*x^3 - 2506*x^2 + 1176*x
F@L|o:
x^7 - 22*x^6 + 190*x^5 - 806*x^4 + 1706*x^3 - 1610*x^2 + 525*x
FHM]w:
x^7 - 24*x^6 + 231*x^5 - 1134*x^4 + 2971*x^3 - 3904*x^2 + 1995*x
F@]uw:
x^7 - 24*x^6 + 231*x^5 - 1134*x^4 + 2971*x^3 - 3906*x^2 + 2009*x
F@]rw:
x^7 - 24*x^6 + 229*x^5 - 1096*x^4 + 2713*x^3 - 3174*x^2 + 1295*x
F@]vw:
x^7 - 26*x^6 + 271*x^5 - 1440*x^4 + 4079*x^3 - 5782*x^2 + 3185*x
F@^vo:
x^7 - 26*x^6 + 274*x^5 - 1494*x^4 + 4430*x^3 - 6744*x^2 + 4095*x
FHN]w:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4314*x^3 - 6426*x^2 + 3780*x
F@l~g:
x^7 - 26*x^6 + 272*x^5 - 1456*x^4 + 4172*x^3 - 6014*x^2 + 3395*x
F@^vw:
x^7 - 28*x^6 + 317*x^5 - 1850*x^4 + 5841*x^3 - 9402*x^2 + 5985*x
F@\~g:
x^7 - 26*x^6 + 271*x^5 - 1434*x^4 + 3992*x^3 - 5364*x^2 + 2520*x
F@\|w:
x^7 - 26*x^6 + 269*x^5 - 1396*x^4 + 3742*x^3 - 4730*x^2 + 2100*x
F@\~w:
x^7 - 28*x^6 + 314*x^5 - 1784*x^4 + 5313*x^3 - 7596*x^2 + 3780*x
F@]~w:
x^7 - 28*x^6 + 315*x^5 - 1808*x^4 + 5527*x^3 - 8436*x^2 + 5005*x
F@^~w:
x^7 - 30*x^6 + 364*x^5 - 2274*x^4 + 7663*x^3 - 13104*x^2 + 8820*x
F@~vg:
x^7 - 28*x^6 + 320*x^5 - 1910*x^4 + 6279*x^3 - 10782*x^2 + 7560*x
F@~uw:
x^7 - 28*x^6 + 319*x^5 - 1890*x^4 + 6133*x^3 - 10322*x^2 + 7035*x
F@^~o:
x^7 - 28*x^6 + 318*x^5 - 1868*x^4 + 5957*x^3 - 9720*x^2 + 6300*x
F@~vw:
x^7 - 30*x^6 + 367*x^5 - 2340*x^4 + 8191*x^3 - 14910*x^2 + 11025*x
F@~~w:
x^7 - 32*x^6 + 417*x^5 - 2824*x^4 + 10451*x^3 - 19992*x^2 + 15435*x
FBY~o:
x^7 - 26*x^6 + 274*x^5 - 1494*x^4 + 4430*x^3 - 6742*x^2 + 4088*x
FDhzw:
x^7 - 26*x^6 + 272*x^5 - 1456*x^4 + 4172*x^3 - 6008*x^2 + 3360*x
FBY}w:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4315*x^3 - 6436*x^2 + 3808*x
FBX|w:
x^7 - 26*x^6 + 271*x^5 - 1434*x^4 + 3993*x^3 - 5370*x^2 + 2520*x
FHU}w:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4316*x^3 - 6444*x^2 + 3815*x
FBY~w:
x^7 - 28*x^6 + 317*x^5 - 1850*x^4 + 5842*x^3 - 9410*x^2 + 5992*x
FI\tw:
x^7 - 26*x^6 + 272*x^5 - 1452*x^4 + 4104*x^3 - 5632*x^2 + 2688*x
FBX~w:
x^7 - 28*x^6 + 315*x^5 - 1804*x^4 + 5452*x^3 - 7968*x^2 + 4032*x
FBZ~o:
x^7 - 28*x^6 + 319*x^5 - 1888*x^4 + 6100*x^3 - 10144*x^2 + 6720*x
comment: It has the same Laplacian polynomial as FJenw.
FBZ~w:
x^7 - 30*x^6 + 365*x^5 - 2296*x^4 + 7836*x^3 - 13664*x^2 + 9408*x
F?]u_:
x^7 - 18*x^6 + 129*x^5 - 470*x^4 + 915*x^3 - 900*x^2 + 350*x
FWD[o:
x^7 - 18*x^6 + 129*x^5 - 466*x^4 + 881*x^3 - 810*x^2 + 280*x
FGc}_:
x^7 - 18*x^6 + 129*x^5 - 468*x^4 + 900*x^3 - 864*x^2 + 322*x
FBj@w:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1418*x^3 - 1550*x^2 + 665*x
F`YPw:
x^7 - 20*x^6 + 160*x^5 - 650*x^4 + 1399*x^3 - 1492*x^2 + 609*x
FIe`w:
x^7 - 20*x^6 + 160*x^5 - 652*x^4 + 1420*x^3 - 1560*x^2 + 672*x
comment: It has the same Laplacian polynomial as F@Neo.
FIebw:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2110*x^3 - 2572*x^2 + 1232*x
FIefw:
x^7 - 24*x^6 + 231*x^5 - 1140*x^4 + 3036*x^3 - 4128*x^2 + 2240*x
comment: This is the wheel $W_7$. It has the same Laplacian polynomial as F@R~o.
FHo}g:
x^7 - 22*x^6 + 195*x^5 - 890*x^4 + 2200*x^3 - 2780*x^2 + 1393*x
FM`hw:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2181*x^3 - 2722*x^2 + 1337*x
Fie`w:
x^7 - 22*x^6 + 196*x^5 - 904*x^4 + 2276*x^3 - 2968*x^2 + 1568*x
FKK}W:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2110*x^3 - 2570*x^2 + 1225*x
F`Lkw:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2087*x^3 - 2482*x^2 + 1113*x
FKL\W:
x^7 - 22*x^6 + 194*x^5 - 874*x^4 + 2112*x^3 - 2580*x^2 + 1232*x
FY_}w:
x^7 - 24*x^6 + 233*x^5 - 1170*x^4 + 3202*x^3 - 4524*x^2 + 2576*x
FKNJw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3085*x^3 - 4196*x^2 + 2240*x
FKNNw:
x^7 - 26*x^6 + 273*x^5 - 1480*x^4 + 4364*x^3 - 6624*x^2 + 4032*x
FHU^G:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2183*x^3 - 2738*x^2 + 1365*x
comment: It has the same Laplacian polynomial as FF`jW.
FKWyw:
x^7 - 22*x^6 + 193*x^5 - 854*x^4 + 1971*x^3 - 2164*x^2 + 798*x
FIMmw:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3087*x^3 - 4216*x^2 + 2282*x
FHd\w:
x^7 - 24*x^6 + 231*x^5 - 1134*x^4 + 2972*x^3 - 3908*x^2 + 1988*x
FKL^W:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3086*x^3 - 4206*x^2 + 2261*x
FHUZw:
x^7 - 24*x^6 + 230*x^5 - 1114*x^4 + 2826*x^3 - 3448*x^2 + 1463*x
FHU^w:
x^7 - 26*x^6 + 272*x^5 - 1460*x^4 + 4222*x^3 - 6204*x^2 + 3591*x
FJQ\O:
x^7 - 20*x^6 + 161*x^5 - 666*x^4 + 1489*x^3 - 1700*x^2 + 770*x
FHU^?:
x^7 - 20*x^6 + 161*x^5 - 664*x^4 + 1471*x^3 - 1652*x^2 + 735*x
Fbj@w:
x^7 - 22*x^6 + 196*x^5 - 902*x^4 + 2252*x^3 - 2878*x^2 + 1463*x
FDprW:
x^7 - 22*x^6 + 195*x^5 - 886*x^4 + 2161*x^3 - 2664*x^2 + 1295*x
FIdtW:
x^7 - 22*x^6 + 195*x^5 - 886*x^4 + 2158*x^3 - 2638*x^2 + 1239*x
FIc~G:
x^7 - 22*x^6 + 195*x^5 - 888*x^4 + 2182*x^3 - 2732*x^2 + 1358*x
FIM\W:
x^7 - 22*x^6 + 194*x^5 - 872*x^4 + 2092*x^3 - 2520*x^2 + 1176*x
Fh_}w:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3178*x^3 - 4434*x^2 + 2471*x
FSTjw:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3062*x^3 - 4116*x^2 + 2156*x
comment: It has the same Laplacian polynomial as FIejw.
FDZJw:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3063*x^3 - 4128*x^2 + 2191*x
FIejw:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3062*x^3 - 4116*x^2 + 2156*x
comment: It has the same Laplacian polynomial as FSTjw.
FoL^w:
x^7 - 26*x^6 + 273*x^5 - 1478*x^4 + 4338*x^3 - 6524*x^2 + 3920*x
comment: It has the same Laplacian polynomial as F@V~o.
Fbc~W:
x^7 - 26*x^6 + 275*x^5 - 1512*x^4 + 4548*x^3 - 7076*x^2 + 4431*x
FQdzw:
x^7 - 26*x^6 + 273*x^5 - 1474*x^4 + 4287*x^3 - 6308*x^2 + 3612*x
comment: It has the same Laplacian polynomial as FHd}w.
FKNmw:
x^7 - 26*x^6 + 274*x^5 - 1494*x^4 + 4431*x^3 - 6748*x^2 + 4095*x
FQL}w:
x^7 - 26*x^6 + 273*x^5 - 1474*x^4 + 4288*x^3 - 6320*x^2 + 3647*x
FHd}w:
x^7 - 26*x^6 + 273*x^5 - 1474*x^4 + 4287*x^3 - 6308*x^2 + 3612*x
comment: It has the same Laplacian polynomial as FQdzw.
FoNZw:
x^7 - 26*x^6 + 274*x^5 - 1494*x^4 + 4433*x^3 - 6770*x^2 + 4151*x
FaM~w:
x^7 - 28*x^6 + 318*x^5 - 1870*x^4 + 5987*x^3 - 9860*x^2 + 6496*x
FB]vW:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4402*x^3 - 6616*x^2 + 3906*x
FBhzw:
x^7 - 26*x^6 + 271*x^5 - 1432*x^4 + 3965*x^3 - 5246*x^2 + 2352*x
FBh|w:
x^7 - 26*x^6 + 272*x^5 - 1454*x^4 + 4144*x^3 - 5884*x^2 + 3192*x
FBh~w:
x^7 - 28*x^6 + 317*x^5 - 1848*x^4 + 5811*x^3 - 9258*x^2 + 5761*x
FB]uW:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3153*x^3 - 4334*x^2 + 2345*x
FBY}o:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3177*x^3 - 4428*x^2 + 2464*x
FDp~o:
x^7 - 26*x^6 + 275*x^5 - 1512*x^4 + 4549*x^3 - 7088*x^2 + 4466*x
FBh}w:
x^7 - 26*x^6 + 273*x^5 - 1474*x^4 + 4288*x^3 - 6322*x^2 + 3661*x
FDpzw:
x^7 - 26*x^6 + 273*x^5 - 1474*x^4 + 4289*x^3 - 6334*x^2 + 3696*x
FBj^w:
x^7 - 28*x^6 + 318*x^5 - 1870*x^4 + 5988*x^3 - 9874*x^2 + 6545*x
FBj~o:
x^7 - 28*x^6 + 320*x^5 - 1908*x^4 + 6248*x^3 - 10628*x^2 + 7315*x
FBj~w:
x^7 - 30*x^6 + 366*x^5 - 2318*x^4 + 8014*x^3 - 14294*x^2 + 10241*x
Fo\sw:
x^7 - 24*x^6 + 234*x^5 - 1188*x^4 + 3315*x^3 - 4822*x^2 + 2856*x
FIU|o:
x^7 - 24*x^6 + 233*x^5 - 1170*x^4 + 3198*x^3 - 4494*x^2 + 2520*x
comment: It has the same Laplacian polynomial as FK`~o.
FBY|o:
x^7 - 24*x^6 + 232*x^5 - 1152*x^4 + 3084*x^3 - 4192*x^2 + 2240*x
FbY\w:
x^7 - 26*x^6 + 275*x^5 - 1514*x^4 + 4575*x^3 - 7192*x^2 + 4592*x
FImrw:
x^7 - 26*x^6 + 274*x^5 - 1494*x^4 + 4428*x^3 - 6720*x^2 + 4032*x
FImvw:
x^7 - 28*x^6 + 319*x^5 - 1892*x^4 + 6160*x^3 - 10432*x^2 + 7168*x
FQ\sw:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3175*x^3 - 4406*x^2 + 2408*x
FJY[w:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3148*x^3 - 4288*x^2 + 2240*x
comment: It has the same Laplacian polynomial as FwC}w.
FB\tW:
x^7 - 24*x^6 + 231*x^5 - 1130*x^4 + 2913*x^3 - 3628*x^2 + 1568*x
F`Lzo:
x^7 - 24*x^6 + 231*x^5 - 1128*x^4 + 2886*x^3 - 3510*x^2 + 1400*x
FXT[w:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3156*x^3 - 4356*x^2 + 2380*x
F@\~_:
x^7 - 24*x^6 + 231*x^5 - 1130*x^4 + 2913*x^3 - 3630*x^2 + 1575*x
comment: It has the same Laplacian polynomial as F`K}w.
FB]^G:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3175*x^3 - 4408*x^2 + 2415*x
FJY\w:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4401*x^3 - 6602*x^2 + 3864*x
comment: It has the same Laplacian polynomial as F`N^W.
F`\tw:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4403*x^3 - 6624*x^2 + 3920*x
comment: It has the same Laplacian polynomial as FB^dw.
FJYZw:
x^7 - 26*x^6 + 272*x^5 - 1450*x^4 + 4077*x^3 - 5514*x^2 + 2520*x
FB^dw:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4403*x^3 - 6624*x^2 + 3920*x
comment: It has the same Laplacian polynomial as F`\tw.
FJY^w:
x^7 - 28*x^6 + 318*x^5 - 1868*x^4 + 5953*x^3 - 9672*x^2 + 6160*x
comment: It has the same Laplacian polynomial as F`N^w.
FT\uW:
x^7 - 26*x^6 + 276*x^5 - 1530*x^4 + 4665*x^3 - 7402*x^2 + 4760*x
FI}vg:
x^7 - 28*x^6 + 321*x^5 - 1928*x^4 + 6397*x^3 - 11114*x^2 + 7896*x
Fdhzw:
x^7 - 28*x^6 + 320*x^5 - 1908*x^4 + 6252*x^3 - 10664*x^2 + 7392*x
comment: It has the same Laplacian polynomial as FDx~g.
FInvw:
x^7 - 30*x^6 + 368*x^5 - 2360*x^4 + 8337*x^3 - 15368*x^2 + 11536*x
FLh}w:
x^7 - 28*x^6 + 320*x^5 - 1908*x^4 + 6250*x^3 - 10642*x^2 + 7336*x
FS\zw:
x^7 - 28*x^6 + 318*x^5 - 1866*x^4 + 5928*x^3 - 9576*x^2 + 6048*x
comment: It has the same Laplacian polynomial as FI]|w.
FIm~w:
x^7 - 30*x^6 + 367*x^5 - 2338*x^4 + 8160*x^3 - 14752*x^2 + 10752*x
FIn~w:
x^7 - 32*x^6 + 419*x^5 - 2868*x^4 + 10802*x^3 - 21182*x^2 + 16856*x
FIl~g:
x^7 - 28*x^6 + 319*x^5 - 1886*x^4 + 6073*x^3 - 10026*x^2 + 6552*x
FI]|w:
x^7 - 28*x^6 + 318*x^5 - 1866*x^4 + 5928*x^3 - 9576*x^2 + 6048*x
comment: It has the same Laplacian polynomial as FS\zw.
FJY}w:
x^7 - 28*x^6 + 319*x^5 - 1886*x^4 + 6071*x^3 - 10004*x^2 + 6496*x
FI]~w:
x^7 - 30*x^6 + 366*x^5 - 2314*x^4 + 7947*x^3 - 13926*x^2 + 9576*x
FI\|w:
x^7 - 28*x^6 + 316*x^5 - 1820*x^4 + 5536*x^3 - 8112*x^2 + 4032*x
FB\|w:
x^7 - 28*x^6 + 315*x^5 - 1800*x^4 + 5397*x^3 - 7740*x^2 + 3780*x
FB\~w:
x^7 - 30*x^6 + 363*x^5 - 2242*x^4 + 7308*x^3 - 11448*x^2 + 6048*x
FD\~W:
x^7 - 28*x^6 + 318*x^5 - 1866*x^4 + 5930*x^3 - 9602*x^2 + 6132*x
FB]~W:
x^7 - 28*x^6 + 318*x^5 - 1866*x^4 + 5929*x^3 - 9590*x^2 + 6097*x
FB]|w:
x^7 - 28*x^6 + 316*x^5 - 1824*x^4 + 5612*x^3 - 8592*x^2 + 5040*x
FB]~w:
x^7 - 30*x^6 + 365*x^5 - 2292*x^4 + 7774*x^3 - 13366*x^2 + 8988*x
FB^~w:
x^7 - 32*x^6 + 417*x^5 - 2818*x^4 + 10340*x^3 - 19320*x^2 + 14112*x
FkUhw:
x^7 - 24*x^6 + 234*x^5 - 1186*x^4 + 3296*x^3 - 4764*x^2 + 2800*x
FsLZW:
x^7 - 24*x^6 + 234*x^5 - 1184*x^4 + 3276*x^3 - 4704*x^2 + 2744*x
FHU}o:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3180*x^3 - 4446*x^2 + 2485*x
Fo^Pw:
x^7 - 24*x^6 + 234*x^5 - 1184*x^4 + 3273*x^3 - 4680*x^2 + 2702*x
F@]~_:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3064*x^3 - 4136*x^2 + 2205*x
FA]~_:
x^7 - 24*x^6 + 233*x^5 - 1168*x^4 + 3179*x^3 - 4440*x^2 + 2478*x
FpUZw:
x^7 - 26*x^6 + 275*x^5 - 1512*x^4 + 4552*x^3 - 7112*x^2 + 4508*x
comment: It has the same Laplacian polynomial as FFYmw.
Fbh\w:
x^7 - 26*x^6 + 275*x^5 - 1512*x^4 + 4551*x^3 - 7102*x^2 + 4487*x
FBnbw:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4406*x^3 - 6652*x^2 + 3983*x
FFYmw:
x^7 - 26*x^6 + 275*x^5 - 1512*x^4 + 4552*x^3 - 7112*x^2 + 4508*x
comment: It has the same Laplacian polynomial as FpUZw.
FBnfw:
x^7 - 28*x^6 + 319*x^5 - 1890*x^4 + 6134*x^3 - 10332*x^2 + 7056*x
FDx~g:
x^7 - 28*x^6 + 320*x^5 - 1908*x^4 + 6252*x^3 - 10664*x^2 + 7392*x
comment: It has the same Laplacian polynomial as Fdhzw.
FPvZw:
x^7 - 28*x^6 + 319*x^5 - 1888*x^4 + 6107*x^3 - 10214*x^2 + 6888*x
FBnvW:
x^7 - 28*x^6 + 320*x^5 - 1908*x^4 + 6251*x^3 - 10654*x^2 + 7371*x
FHu~w:
x^7 - 30*x^6 + 367*x^5 - 2338*x^4 + 8161*x^3 - 14766*x^2 + 10801*x
FBy}w:
x^7 - 28*x^6 + 319*x^5 - 1888*x^4 + 6107*x^3 - 10216*x^2 + 6902*x
FB]}w:
x^7 - 28*x^6 + 317*x^5 - 1846*x^4 + 5787*x^3 - 9178*x^2 + 5712*x
FBn^w:
x^7 - 30*x^6 + 366*x^5 - 2316*x^4 + 7986*x^3 - 14178*x^2 + 10115*x
FBn~w:
x^7 - 32*x^6 + 418*x^5 - 2844*x^4 + 10592*x^3 - 20398*x^2 + 15827*x
FF^nW:
x^7 - 30*x^6 + 369*x^5 - 2380*x^4 + 8484*x^3 - 15840*x^2 + 12096*x
comment: It has the same Laplacian polynomial as Fs\zw and FLvfw.
FI~tw:
x^7 - 30*x^6 + 369*x^5 - 2380*x^4 + 8482*x^3 - 15818*x^2 + 12040*x
FB^~o:
x^7 - 30*x^6 + 367*x^5 - 2334*x^4 + 8092*x^3 - 14376*x^2 + 10080*x
FBn~o:
x^7 - 30*x^6 + 368*x^5 - 2358*x^4 + 8306*x^3 - 15216*x^2 + 11305*x
comment: It has the same Laplacian polynomial as FLp~w.
FB~vw:
x^7 - 32*x^6 + 420*x^5 - 2890*x^4 + 10979*x^3 - 21798*x^2 + 17640*x
FB~~w:
x^7 - 34*x^6 + 474*x^5 - 3460*x^4 + 13909*x^3 - 29106*x^2 + 24696*x
F@~v_:
x^7 - 26*x^6 + 276*x^5 - 1534*x^4 + 4715*x^3 - 7608*x^2 + 5040*x
FbY|o:
x^7 - 26*x^6 + 276*x^5 - 1532*x^4 + 4692*x^3 - 7520*x^2 + 4928*x
FFzbw:
x^7 - 28*x^6 + 321*x^5 - 1930*x^4 + 6424*x^3 - 11232*x^2 + 8064*x
FFzfw:
x^7 - 30*x^6 + 369*x^5 - 2384*x^4 + 8544*x^3 - 16128*x^2 + 12544*x
FK~v_:
x^7 - 28*x^6 + 322*x^5 - 1948*x^4 + 6541*x^3 - 11560*x^2 + 8400*x
F]p|w:
x^7 - 30*x^6 + 370*x^5 - 2402*x^4 + 8661*x^3 - 16456*x^2 + 12880*x
Fs\zw:
x^7 - 30*x^6 + 369*x^5 - 2380*x^4 + 8484*x^3 - 15840*x^2 + 12096*x
comment: It has the same Laplacian polynomial as FF^nW and FLvfw.
Fs\~w:
x^7 - 32*x^6 + 421*x^5 - 2914*x^4 + 11192*x^3 - 22624*x^2 + 18816*x
FFz~o:
x^7 - 32*x^6 + 422*x^5 - 2936*x^4 + 11369*x^3 - 23240*x^2 + 19600*x
FFz~w:
x^7 - 34*x^6 + 476*x^5 - 3510*x^4 + 14371*x^3 - 30968*x^2 + 27440*x
FF~~w:
x^7 - 36*x^6 + 534*x^5 - 4172*x^4 + 18081*x^3 - 41160*x^2 + 38416*x
FGeZ_:
x^7 - 18*x^6 + 129*x^5 - 464*x^4 + 858*x^3 - 722*x^2 + 168*x
FJaHw:
x^7 - 20*x^6 + 160*x^5 - 648*x^4 + 1372*x^3 - 1376*x^2 + 448*x
F`N@w:
x^7 - 20*x^6 + 160*x^5 - 646*x^4 + 1349*x^3 - 1288*x^2 + 336*x
FJaJw:
x^7 - 22*x^6 + 194*x^5 - 870*x^4 + 2056*x^3 - 2336*x^2 + 896*x
FJaNw:
x^7 - 24*x^6 + 231*x^5 - 1136*x^4 + 2976*x^3 - 3840*x^2 + 1792*x
FaK|W:
x^7 - 22*x^6 + 194*x^5 - 870*x^4 + 2068*x^3 - 2432*x^2 + 1085*x
FPLYw:
x^7 - 22*x^6 + 192*x^5 - 838*x^4 + 1883*x^3 - 1980*x^2 + 700*x
FKcyw:
x^7 - 22*x^6 + 193*x^5 - 856*x^4 + 2000*x^3 - 2296*x^2 + 980*x
FEXlw:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3060*x^3 - 4102*x^2 + 2135*x
FHeZw:
x^7 - 24*x^6 + 231*x^5 - 1132*x^4 + 2944*x^3 - 3784*x^2 + 1820*x
comment: It has the same Laplacian polynomial as F`MZw.
FPTZw:
x^7 - 24*x^6 + 230*x^5 - 1112*x^4 + 2798*x^3 - 3324*x^2 + 1295*x
FKW}w:
x^7 - 24*x^6 + 232*x^5 - 1150*x^4 + 3058*x^3 - 4080*x^2 + 2079*x
F`MZw:
x^7 - 24*x^6 + 231*x^5 - 1132*x^4 + 2944*x^3 - 3784*x^2 + 1820*x
comment: It has the same Laplacian polynomial as FHeZw.
FPT^w:
x^7 - 26*x^6 + 272*x^5 - 1458*x^4 + 4191*x^3 - 6052*x^2 + 3360*x
FJYKg:
x^7 - 20*x^6 + 161*x^5 - 662*x^4 + 1447*x^3 - 1558*x^2 + 616*x
FJ_}W:
x^7 - 22*x^6 + 195*x^5 - 886*x^4 + 2154*x^3 - 2606*x^2 + 1176*x
FKdjg:
x^7 - 22*x^6 + 195*x^5 - 884*x^4 + 2131*x^3 - 2518*x^2 + 1064*x
FjaHw:
x^7 - 22*x^6 + 196*x^5 - 900*x^4 + 2228*x^3 - 2784*x^2 + 1344*x
comment: This is the Moser spindle.
FKLkw:
x^7 - 22*x^6 + 194*x^5 - 870*x^4 + 2064*x^3 - 2396*x^2 + 1008*x
F`K}W:
x^7 - 22*x^6 + 194*x^5 - 868*x^4 + 2037*x^3 - 2278*x^2 + 840*x
FwC}w:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3148*x^3 - 4288*x^2 + 2240*x
comment: It has the same Laplacian polynomial as FJY[w.
FKYZw:
x^7 - 24*x^6 + 232*x^5 - 1148*x^4 + 3031*x^3 - 3960*x^2 + 1904*x
F`NNw:
x^7 - 26*x^6 + 273*x^5 - 1476*x^4 + 4304*x^3 - 6336*x^2 + 3584*x
F`Kyw:
x^7 - 22*x^6 + 192*x^5 - 836*x^4 + 1856*x^3 - 1860*x^2 + 525*x
F`K}w:
x^7 - 24*x^6 + 231*x^5 - 1130*x^4 + 2913*x^3 - 3630*x^2 + 1575*x
comment: It has the same Laplacian polynomial as F@\~_.
F`Kzw:
x^7 - 24*x^6 + 229*x^5 - 1092*x^4 + 2655*x^3 - 2900*x^2 + 875*x
F`K~w:
x^7 - 26*x^6 + 271*x^5 - 1436*x^4 + 4015*x^3 - 5450*x^2 + 2625*x
FeK~W:
x^7 - 26*x^6 + 275*x^5 - 1510*x^4 + 4518*x^3 - 6930*x^2 + 4200*x
FKdzw:
x^7 - 26*x^6 + 273*x^5 - 1472*x^4 + 4256*x^3 - 6152*x^2 + 3360*x
comment: It has the same Laplacian polynomial as FQT|w.
FQT|w:
x^7 - 26*x^6 + 273*x^5 - 1472*x^4 + 4256*x^3 - 6152*x^2 + 3360*x
comment: It has the same Laplacian polynomial as FKdzw.
F`N^W:
x^7 - 26*x^6 + 274*x^5 - 1492*x^4 + 4401*x^3 - 6602*x^2 + 3864*x
comment: It has the same Laplacian polynomial as FJY\w.
F`N^w:
x^7 - 28*x^6 + 318*x^5 - 1868*x^4 + 5953*x^3 - 9672*x^2 + 6160*x
comment: It has the same Laplacian polynomial as FJY^w.
F`L~o:
x^7 - 26*x^6 + 274*x^5 - 1490*x^4 + 4372*x^3 - 6470*x^2 + 3675*x
F`Lzw:
x^7 - 26*x^6 + 271*x^5 - 1430*x^4 + 3934*x^3 - 5090*x^2 + 2100*x
F`L|w:
x^7 - 26*x^6 + 272*x^5 - 1452*x^4 + 4114*x^3 - 5740*x^2 + 2975*x
F`L~w:
x^7 - 28*x^6 + 317*x^5 - 1846*x^4 + 5777*x^3 - 9070*x^2 + 5425*x
F`N~o:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6215*x^3 - 10450*x^2 + 7000*x
F`N~w:
x^7 - 30*x^6 + 366*x^5 - 2316*x^4 + 7977*x^3 - 14070*x^2 + 9800*x
FKzPw:
x^7 - 24*x^6 + 234*x^5 - 1184*x^4 + 3269*x^3 - 4648*x^2 + 2639*x
FQT|o:
x^7 - 24*x^6 + 233*x^5 - 1164*x^4 + 3125*x^3 - 4202*x^2 + 2135*x
FI]\g:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3152*x^3 - 4320*x^2 + 2303*x
FwL[w:
x^7 - 24*x^6 + 234*x^5 - 1182*x^4 + 3246*x^3 - 4560*x^2 + 2527*x
FB]lg:
x^7 - 24*x^6 + 232*x^5 - 1148*x^4 + 3036*x^3 - 4008*x^2 + 2016*x
Fbo|w:
x^7 - 26*x^6 + 275*x^5 - 1510*x^4 + 4521*x^3 - 6956*x^2 + 4256*x
comment: It has the same Laplacian polynomial as FJY}o.
FJejw:
x^7 - 26*x^6 + 274*x^5 - 1490*x^4 + 4374*x^3 - 6484*x^2 + 3696*x
FJenw:
x^7 - 28*x^6 + 319*x^5 - 1888*x^4 + 6100*x^3 - 10144*x^2 + 6720*x
comment: It has the same Laplacian polynomial as FBZ~o.
Fkoxw:
x^7 - 24*x^6 + 234*x^5 - 1184*x^4 + 3272*x^3 - 4674*x^2 + 2695*x
FpLYw:
x^7 - 24*x^6 + 233*x^5 - 1164*x^4 + 3131*x^3 - 4260*x^2 + 2275*x
FkYXw:
x^7 - 24*x^6 + 234*x^5 - 1182*x^4 + 3248*x^3 - 4580*x^2 + 2576*x
FPT}o:
x^7 - 24*x^6 + 233*x^5 - 1166*x^4 + 3155*x^3 - 4348*x^2 + 2366*x
F`L|o:
x^7 - 24*x^6 + 232*x^5 - 1146*x^4 + 3012*x^3 - 3920*x^2 + 1925*x
F`v`w:
x^7 - 24*x^6 + 234*x^5 - 1182*x^4 + 3245*x^3 - 4554*x^2 + 2520*x
FpL]w:
x^7 - 26*x^6 + 275*x^5 - 1510*x^4 + 4524*x^3 - 6988*x^2 + 4340*x
F`]rw:
x^7 - 26*x^6 + 274*x^5 - 1490*x^4 + 4378*x^3 - 6528*x^2 + 3815*x
Fbg}w:
x^7 - 26*x^6 + 275*x^5 - 1510*x^4 + 4523*x^3 - 6976*x^2 + 4305*x
F`]vw:
x^7 - 28*x^6 + 319*x^5 - 1888*x^4 + 6103*x^3 - 10180*x^2 + 6825*x
FJ]^G:
x^7 - 26*x^6 + 275*x^5 - 1508*x^4 + 4491*x^3 - 6810*x^2 + 4025*x
FL]uW:
x^7 - 26*x^6 + 276*x^5 - 1528*x^4 + 4641*x^3 - 7308*x^2 + 4641*x
FJnNg:
x^7 - 28*x^6 + 321*x^5 - 1926*x^4 + 6367*x^3 - 10968*x^2 + 7665*x
FTpzw:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6221*x^3 - 10508*x^2 + 7140*x
comment: It has the same Laplacian polynomial as F`l~g.
FJq~w:
x^7 - 30*x^6 + 368*x^5 - 2358*x^4 + 8303*x^3 - 15180*x^2 + 11200*x
FJd~W:
x^7 - 28*x^6 + 319*x^5 - 1884*x^4 + 6041*x^3 - 9858*x^2 + 6265*x
FK\zw:
x^7 - 28*x^6 + 316*x^5 - 1818*x^4 + 5505*x^3 - 7956*x^2 + 3780*x
FK\|w:
x^7 - 28*x^6 + 318*x^5 - 1864*x^4 + 5897*x^3 - 9420*x^2 + 5796*x
F`\|w:
x^7 - 28*x^6 + 318*x^5 - 1864*x^4 + 5899*x^3 - 9446*x^2 + 5880*x
FK\~w:
x^7 - 30*x^6 + 366*x^5 - 2312*x^4 + 7913*x^3 - 13738*x^2 + 9240*x
FTX}w:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6220*x^3 - 10496*x^2 + 7105*x
FK]~w:
x^7 - 30*x^6 + 367*x^5 - 2336*x^4 + 8126*x^3 - 14564*x^2 + 10416*x
F`l~g:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6221*x^3 - 10508*x^2 + 7140*x
comment: It has the same Laplacian polynomial as FTpzw.
F`t|w:
x^7 - 28*x^6 + 319*x^5 - 1886*x^4 + 6075*x^3 - 10046*x^2 + 6601*x
F`]~w:
x^7 - 30*x^6 + 367*x^5 - 2336*x^4 + 8127*x^3 - 14578*x^2 + 10465*x
FK^~w:
x^7 - 32*x^6 + 419*x^5 - 2866*x^4 + 10765*x^3 - 20958*x^2 + 16415*x
Ftpzw:
x^7 - 30*x^6 + 370*x^5 - 2400*x^4 + 8629*x^3 - 16290*x^2 + 12600*x
FK^~o:
x^7 - 30*x^6 + 369*x^5 - 2378*x^4 + 8449*x^3 - 15640*x^2 + 11725*x
FK~vw:
x^7 - 32*x^6 + 421*x^5 - 2912*x^4 + 11155*x^3 - 22400*x^2 + 18375*x
FK~~w:
x^7 - 34*x^6 + 475*x^5 - 3484*x^4 + 14119*x^3 - 29890*x^2 + 25725*x
FJY}o:
x^7 - 26*x^6 + 275*x^5 - 1510*x^4 + 4521*x^3 - 6956*x^2 + 4256*x
comment: It has the same Laplacian polynomial as Fbo|w.
FJvdw:
x^7 - 28*x^6 + 321*x^5 - 1926*x^4 + 6369*x^3 - 10988*x^2 + 7714*x
FLpzw:
x^7 - 28*x^6 + 319*x^5 - 1884*x^4 + 6045*x^3 - 9902*x^2 + 6384*x
FLp|w:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6223*x^3 - 10528*x^2 + 7189*x
Fbh|w:
x^7 - 28*x^6 + 320*x^5 - 1906*x^4 + 6224*x^3 - 10540*x^2 + 7224*x
FLp~w:
x^7 - 30*x^6 + 368*x^5 - 2358*x^4 + 8306*x^3 - 15216*x^2 + 11305*x
comment: It has the same Laplacian polynomial as FBn~o.
FLr~o:
x^7 - 30*x^6 + 370*x^5 - 2400*x^4 + 8630*x^3 - 16302*x^2 + 12635*x
FLr~w:
x^7 - 32*x^6 + 420*x^5 - 2890*x^4 + 10980*x^3 - 21812*x^2 + 17689*x
FBnvO:
x^7 - 26*x^6 + 276*x^5 - 1530*x^4 + 4669*x^3 - 7434*x^2 + 4823*x
F`]~_:
x^7 - 26*x^6 + 276*x^5 - 1528*x^4 + 4642*x^3 - 7316*x^2 + 4655*x
Fb]lg:
x^7 - 26*x^6 + 276*x^5 - 1528*x^4 + 4644*x^3 - 7336*x^2 + 4704*x
FLvbw:
x^7 - 28*x^6 + 321*x^5 - 1926*x^4 + 6370*x^3 - 10996*x^2 + 7728*x
FLvfw:
x^7 - 30*x^6 + 369*x^5 - 2380*x^4 + 8484*x^3 - 15840*x^2 + 12096*x
comment: It has the same Laplacian polynomial as FF^nW and Fs\zw.
FLvvO:
x^7 - 28*x^6 + 322*x^5 - 1946*x^4 + 6517*x^3 - 11466*x^2 + 8281*x
Flp|w:
x^7 - 30*x^6 + 370*x^5 - 2400*x^4 + 8631*x^3 - 16310*x^2 + 12649*x
FM^lw:
x^7 - 30*x^6 + 369*x^5 - 2378*x^4 + 8452*x^3 - 15672*x^2 + 11809*x
Fk]~w:
x^7 - 32*x^6 + 421*x^5 - 2912*x^4 + 11158*x^3 - 22436*x^2 + 18480*x
FJn^W:
x^7 - 30*x^6 + 369*x^5 - 2378*x^4 + 8451*x^3 - 15660*x^2 + 11774*x
FJ]}w:
x^7 - 30*x^6 + 367*x^5 - 2332*x^4 + 8059*x^3 - 14194*x^2 + 9744*x
FJn^w:
x^7 - 32*x^6 + 420*x^5 - 2888*x^4 + 10944*x^3 - 21596*x^2 + 17255*x
Fbn~w:
x^7 - 34*x^6 + 476*x^5 - 3508*x^4 + 14334*x^3 - 30744*x^2 + 26999*x
FZn]w:
x^7 - 32*x^6 + 422*x^5 - 2934*x^4 + 11337*x^3 - 23074*x^2 + 19320*x
FLv~o:
x^7 - 32*x^6 + 422*x^5 - 2934*x^4 + 11336*x^3 - 23062*x^2 + 19285*x
FL~vw:
x^7 - 34*x^6 + 477*x^5 - 3532*x^4 + 14547*x^3 - 31570*x^2 + 28175*x
FL~~w:
x^7 - 36*x^6 + 535*x^5 - 4196*x^4 + 18291*x^3 - 41944*x^2 + 39445*x
FU\~W:
x^7 - 30*x^6 + 369*x^5 - 2378*x^4 + 8453*x^3 - 15684*x^2 + 11844*x
Fb]|w:
x^7 - 30*x^6 + 368*x^5 - 2356*x^4 + 8276*x^3 - 15072*x^2 + 11088*x
FLl}w:
x^7 - 30*x^6 + 368*x^5 - 2356*x^4 + 8274*x^3 - 15046*x^2 + 11004*x
FR^^w:
x^7 - 32*x^6 + 420*x^5 - 2888*x^4 + 10945*x^3 - 21610*x^2 + 17304*x
FJm~w:
x^7 - 32*x^6 + 419*x^5 - 2864*x^4 + 10732*x^3 - 20784*x^2 + 16128*x
FJn~w:
x^7 - 34*x^6 + 475*x^5 - 3482*x^4 + 14082*x^3 - 29666*x^2 + 25284*x
FR\}w:
x^7 - 30*x^6 + 367*x^5 - 2332*x^4 + 8061*x^3 - 14220*x^2 + 9828*x
FJ]|w:
x^7 - 30*x^6 + 366*x^5 - 2310*x^4 + 7884*x^3 - 13608*x^2 + 9072*x
FJ]~w:
x^7 - 32*x^6 + 418*x^5 - 2838*x^4 + 10479*x^3 - 19692*x^2 + 14364*x
FJ\|w:
x^7 - 30*x^6 + 364*x^5 - 2260*x^4 + 7416*x^3 - 11664*x^2 + 6048*x
FJ\~w:
x^7 - 32*x^6 + 415*x^5 - 2760*x^4 + 9720*x^3 - 16416*x^2 + 9072*x
FJ^~w:
x^7 - 34*x^6 + 473*x^5 - 3428*x^4 + 13536*x^3 - 27216*x^2 + 21168*x
FJ~~w:
x^7 - 36*x^6 + 534*x^5 - 4168*x^4 + 17997*x^3 - 40572*x^2 + 37044*x
FN~~w:
x^7 - 38*x^6 + 598*x^5 - 4984*x^4 + 23177*x^3 - 56938*x^2 + 57624*x
FJn~o:
x^7 - 32*x^6 + 421*x^5 - 2910*x^4 + 11122*x^3 - 22222*x^2 + 18060*x
FJ^~o:
x^7 - 32*x^6 + 419*x^5 - 2860*x^4 + 10656*x^3 - 20304*x^2 + 15120*x
Fj]|w:
x^7 - 32*x^6 + 421*x^5 - 2910*x^4 + 11124*x^3 - 22248*x^2 + 18144*x
FJ~vw:
x^7 - 34*x^6 + 476*x^5 - 3506*x^4 + 14295*x^3 - 30492*x^2 + 26460*x
Fjm~w:
x^7 - 34*x^6 + 477*x^5 - 3532*x^4 + 14548*x^3 - 31584*x^2 + 28224*x
FNz~w:
x^7 - 36*x^6 + 536*x^5 - 4222*x^4 + 18543*x^3 - 43022*x^2 + 41160*x
FNz~o:
x^7 - 34*x^6 + 478*x^5 - 3556*x^4 + 14761*x^3 - 32410*x^2 + 29400*x
F]~vw:
x^7 - 36*x^6 + 537*x^5 - 4248*x^4 + 18795*x^3 - 44100*x^2 + 42875*x
F]~~w:
x^7 - 38*x^6 + 599*x^5 - 5012*x^4 + 23471*x^3 - 58310*x^2 + 60025*x
F^~~w:
x^7 - 40*x^6 + 665*x^5 - 5880*x^4 + 29155*x^3 - 76832*x^2 + 84035*x
F~~~w:
x^7 - 42*x^6 + 735*x^5 - 6860*x^4 + 36015*x^3 - 100842*x^2 + 117649*x
comment: This is the complete graph $K_7$.
Definition
The Laplacian polynomial $\lambda(G,x)$ of a connected simple graph $G$ is $\det(xI-L(G))$, where $L(G)=D(G)-A(G)$ is the combinatorial Laplacian, $D(G)$ is the diagonal degree matrix, and $A(G)$ is the adjacency matrix [1] [2].
Parameters
$G$
—   graph (a connected simple graph, named by its canonical graph6 string)
Formulas
(1)
If $\lambda(G,x)=x^n+c_{n-1}x^{n-1}+\cdots+c_1x$ for a connected graph on $n$ vertices, then $\tau(G)=(-1)^{n-1}c_1/n=T_G(1,1)$, where $\tau(G)$ is the number of spanning trees and $T_G$ is the Tutte polynomial.
(2)
The coefficient of $x^{n-1}$ in $\lambda(G,x)$ is $-\operatorname{tr}L(G) =-2|E(G)|$.
(3)
$\lambda(K_n,x)=x(x-n)^{n-1}$.
Comments
(4)
Graphs are named by their graph6 string [3], 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.
(5)
The table uses the combinatorial Laplacian $D-A$, not the normalised Laplacian and not the signless Laplacian $D+A$. The polynomial stored is the monic characteristic polynomial $\det(xI-L(G))$ in the variable $x$.
(6)
The constant vector lies in the kernel of every Laplacian, so $x$ divides $\lambda(G,x)$. It divides it exactly once because $G$ is connected. The next smallest root is the algebraic connectivity of $G$ [2].
(7)
The 996 graphs here have 934 distinct Laplacian polynomials. 119 of them share their polynomial with one or two other graphs, and the entry for each of those names the others.
Programs
(P1)
Sage
G = Graph('D~{')  # K_5, by its name here
G.laplacian_matrix().charpoly()
G.canonical_label(algorithm='sage').graph6_string()
Links
Similar tables
Characteristic polynomials of connected graphs —   holds the characteristic polynomials $\det(xI-A(G))$ of the same graphs under the same names; for a $k$-regular graph on $n$ vertices, $\lambda(G,x)=(-1)^n\det((k-x)I-A(G))$
Chromatic polynomials of connected graphs —   uses the same canonical graph6 index for connected graphs on at most seven vertices
Tutte polynomials of connected graphs —   contains $T_G(x,y)$, whose value $T_G(1,1)$ is the number of spanning trees in formula (1)
Entropy constants of lattice models —   contains spanning-tree entropy constants for infinite lattices, the limiting analogue of the finite spanning-tree counts determined by formula (1)
Data properties
Entries are of type: integral polynomial
How well the digits are known: exact
Table is complete: no (it holds every connected graph 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 computes $L(G)=D(G)-A(G)$ exactly over $\mathbb{Z}$ and expands $\det(xI-L(G))$ over permutations in $\mathbb{Z}[x]$, avoiding Sage's polynomial-matrix determinant machinery.

more

The build checked that the 996 graph6 strings are exactly the keys of the chromatic polynomial table and the Tutte polynomial table. The exactness check found no inexact coefficients, and Sage's characteristic polynomial of the integer Laplacian matrix agreed on every row. The coefficient in formula (1) agreed with $T_G(1,1)$ from the stored Tutte polynomial on every row. Formula (2) agreed with the number of edges on every row, and formula (3) agreed for $K_1,\ldots,K_7$.



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