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41367 bytes, as of the version from 2026-10-27 11:08 (current). Recorded here, not run.
{
"T237": {
"A_": {
"number": "x^2 - 1",
"comment": "This is the complete graph $K_2$."
},
"BW": {
"number": "x^3 - 2*x",
"comment": "This is the path $P_3$."
},
"Bw": {
"number": "x^3 - 3*x - 2",
"comment": "This is the complete graph $K_3$."
},
"CF": {
"number": "x^4 - 3*x^2",
"comment": "This is the star $K_{1,3}$."
},
"CL": {
"number": "x^4 - 3*x^2 + 1",
"comment": "This is the path $P_4$."
},
"CN": "x^4 - 4*x^2 - 2*x + 1",
"C]": {
"number": "x^4 - 4*x^2",
"comment": "This is the cycle $C_4$."
},
"C^": {
"number": "x^4 - 5*x^2 - 4*x",
"comment": "This is the diamond graph."
},
"C~": {
"number": "x^4 - 6*x^2 - 8*x - 3",
"comment": "This is the complete graph $K_4$."
},
"D?{": {
"number": "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^2 + 2*x",
"DIk": "x^5 - 5*x^3 + 2*x",
"DBk": {
"number": "x^5 - 5*x^3 - 2*x^2 + 3*x",
"comment": "This is the bull graph."
},
"DB{": {
"number": "x^5 - 6*x^3 - 4*x^2 + 2*x",
"comment": "This is the dart graph."
},
"DFw": {
"number": "x^5 - 6*x^3",
"comment": "This is the complete bipartite graph $K_{2,3}$."
},
"DF{": "x^5 - 7*x^3 - 6*x^2",
"DBg": {
"number": "x^5 - 4*x^3 + 3*x",
"comment": "This is the path $P_5$."
},
"DK[": "x^5 - 5*x^3 - 2*x^2 + 4*x + 2",
"DK{": {
"number": "x^5 - 6*x^3 - 4*x^2 + 5*x + 4",
"comment": "This is the butterfly graph."
},
"DLo": {
"number": "x^5 - 5*x^3 + 5*x - 2",
"comment": "This is the cycle $C_5$."
},
"Dbk": {
"number": "x^5 - 6*x^3 - 2*x^2 + 4*x",
"comment": "This is the house graph."
},
"DL{": "x^5 - 7*x^3 - 6*x^2 + 3*x + 2",
"DJk": "x^5 - 6*x^3 - 4*x^2 + 3*x + 2",
"DJ{": "x^5 - 7*x^3 - 8*x^2 + 2",
"DN{": {
"number": "x^5 - 8*x^3 - 10*x^2 - x + 2",
"comment": "This is the house X graph."
},
"DNw": "x^5 - 7*x^3 - 4*x^2 + 2*x",
"D]{": {
"number": "x^5 - 8*x^3 - 8*x^2",
"comment": "This is the wheel $W_5$."
},
"D^{": "x^5 - 9*x^3 - 14*x^2 - 6*x",
"D~{": {
"number": "x^5 - 10*x^3 - 20*x^2 - 15*x - 4",
"comment": "This is the complete graph $K_5$."
},
"E?Bw": {
"number": "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 - 2*x^3 + 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 + 4*x^2",
"E?NW": "x^6 - 6*x^4 - 2*x^3 + 5*x^2",
"E?Nw": "x^6 - 7*x^4 - 4*x^3 + 4*x^2",
"E?]o": "x^6 - 6*x^4 + 5*x^2",
"E?^o": "x^6 - 7*x^4 + 3*x^2",
"E?]w": "x^6 - 7*x^4 - 4*x^3 + 5*x^2",
"E?^w": "x^6 - 8*x^4 - 6*x^3 + 3*x^2",
"E?~o": {
"number": "x^6 - 8*x^4",
"comment": "This is the complete bipartite graph $K_{2,4}$."
},
"E?~w": "x^6 - 9*x^4 - 8*x^3",
"E@QW": "x^6 - 5*x^4 + 5*x^2 - 1",
"E@`w": "x^6 - 6*x^4 - 2*x^3 + 6*x^2 + 2*x - 1",
"E@Rw": {
"number": "x^6 - 7*x^4 - 4*x^3 + 7*x^2 + 4*x - 1",
"comment": "It has the same characteristic polynomial as `E@]o`."
},
"E@YW": "x^6 - 6*x^4 + 5*x^2 - 1",
"EHQW": "x^6 - 6*x^4 + 8*x^2 - 2*x - 1",
"E@UW": "x^6 - 6*x^4 - 2*x^3 + 6*x^2 - 1",
"EGNW": "x^6 - 7*x^4 - 2*x^3 + 7*x^2 - 1",
"EAMw": "x^6 - 7*x^4 - 4*x^3 + 6*x^2 + 2*x - 1",
"E@Vw": "x^6 - 8*x^4 - 6*x^3 + 6*x^2 + 2*x - 1",
"E@YO": {
"number": "x^6 - 5*x^4 + 6*x^2 - 1",
"comment": "This is the path $P_6$."
},
"EI_w": "x^6 - 6*x^4 + 6*x^2",
"EGdo": "x^6 - 6*x^4 - 2*x^3 + 8*x^2 + 4*x - 1",
"EGcw": "x^6 - 6*x^4 - 2*x^3 + 7*x^2 + 2*x - 1",
"E@ow": "x^6 - 6*x^4 - 2*x^3 + 7*x^2 + 4*x",
"EK`w": "x^6 - 7*x^4 - 2*x^3 + 8*x^2 + 4*x",
"ECXw": "x^6 - 7*x^4 - 4*x^3 + 7*x^2 + 4*x",
"EGdw": "x^6 - 7*x^4 - 4*x^3 + 9*x^2 + 6*x - 1",
"E_Nw": "x^6 - 8*x^4 - 6*x^3 + 9*x^2 + 8*x",
"E@NW": "x^6 - 7*x^4 - 4*x^3 + 6*x^2 + 4*x",
"E@Nw": "x^6 - 8*x^4 - 8*x^3 + 3*x^2 + 4*x",
"E_]o": "x^6 - 7*x^4 + 9*x^2 - 4*x",
"EENg": "x^6 - 8*x^4 - 2*x^3 + 7*x^2",
"EC\\w": "x^6 - 8*x^4 - 6*x^3 + 5*x^2 + 4*x",
"E@^W": "x^6 - 8*x^4 - 6*x^3 + 7*x^2 + 4*x - 1",
"E_]w": "x^6 - 8*x^4 - 4*x^3 + 8*x^2",
"E@vw": "x^6 - 9*x^4 - 8*x^3 + 6*x^2 + 4*x",
"E@^o": "x^6 - 8*x^4 - 4*x^3 + 6*x^2 + 2*x - 1",
"E@]w": "x^6 - 8*x^4 - 8*x^3 + 4*x^2 + 4*x - 1",
"E@^w": "x^6 - 9*x^4 - 10*x^3 + 3*x^2 + 4*x - 1",
"E@~o": "x^6 - 9*x^4 - 4*x^3 + 4*x^2",
"E@~w": "x^6 - 10*x^4 - 12*x^3 + x^2 + 4*x",
"EBYW": "x^6 - 7*x^4 + 4*x^2",
"EBYw": "x^6 - 8*x^4 - 4*x^3 + 6*x^2",
"EBZw": "x^6 - 9*x^4 - 8*x^3 + 4*x^2",
"EIe_": {
"number": "x^6 - 6*x^4 + 9*x^2 - 4",
"comment": "This is the cycle $C_6$."
},
"EKNG": "x^6 - 7*x^4 + 7*x^2 - 1",
"EHUW": "x^6 - 7*x^4 - 2*x^3 + 8*x^2",
"EoLW": "x^6 - 7*x^4 - 2*x^3 + 11*x^2 + 2*x - 4",
"E@]o": {
"number": "x^6 - 7*x^4 - 4*x^3 + 7*x^2 + 4*x - 1",
"comment": "It has the same characteristic polynomial as `E@Rw`."
},
"EA]o": "x^6 - 7*x^4 - 2*x^3 + 8*x^2 + 2*x - 1",
"EaMw": "x^6 - 8*x^4 - 4*x^3 + 9*x^2 + 4*x - 1",
"EBhw": "x^6 - 8*x^4 - 6*x^3 + 8*x^2 + 6*x",
"EBjW": "x^6 - 8*x^4 - 4*x^3 + 11*x^2 + 4*x - 4",
"EBjw": "x^6 - 9*x^4 - 8*x^3 + 9*x^2 + 8*x - 1",
"EImo": "x^6 - 8*x^4 + 4*x^2",
"EJYW": "x^6 - 8*x^4 - 4*x^3 + 7*x^2 + 4*x",
"EIno": "x^6 - 9*x^4 - 4*x^3 + 7*x^2",
"EImw": "x^6 - 9*x^4 - 6*x^3 + 6*x^2 + 4*x",
"EInw": "x^6 - 10*x^4 - 10*x^3 + 5*x^2 + 4*x",
"EI]w": "x^6 - 9*x^4 - 8*x^3 + 5*x^2 + 4*x",
"EB]w": "x^6 - 9*x^4 - 10*x^3 + 4*x^2 + 6*x",
"EB^w": "x^6 - 10*x^4 - 14*x^3 - x^2 + 4*x",
"EHuw": "x^6 - 9*x^4 - 6*x^3 + 8*x^2 + 2*x - 1",
"EBnW": "x^6 - 9*x^4 - 8*x^3 + 9*x^2 + 6*x - 4",
"EBnw": "x^6 - 10*x^4 - 12*x^3 + 4*x^2 + 6*x - 1",
"EB~w": "x^6 - 11*x^4 - 16*x^3 - 2*x^2 + 4*x",
"EFz_": {
"number": "x^6 - 9*x^4",
"comment": "This is the complete bipartite graph $K_{3,3}$."
},
"Es\\w": "x^6 - 10*x^4 - 6*x^3 + 3*x^2",
"EB~o": "x^6 - 10*x^4 - 8*x^3 + 4*x^2",
"EFzw": "x^6 - 11*x^4 - 12*x^3",
"EF~w": "x^6 - 12*x^4 - 20*x^3 - 9*x^2",
"EPTW": "x^6 - 7*x^4 - 4*x^3 + 8*x^2 + 6*x",
"E`NG": "x^6 - 7*x^4 - 4*x^3 + 11*x^2 + 12*x + 3",
"E`NW": "x^6 - 8*x^4 - 6*x^3 + 11*x^2 + 14*x + 4",
"E`Lw": "x^6 - 8*x^4 - 8*x^3 + 6*x^2 + 10*x + 3",
"E`Nw": "x^6 - 9*x^4 - 10*x^3 + 9*x^2 + 18*x + 7",
"EJeg": "x^6 - 8*x^4 - 4*x^3 + 12*x^2 + 8*x",
"EJqw": "x^6 - 9*x^4 - 6*x^3 + 11*x^2 + 8*x - 1",
"EK\\w": "x^6 - 9*x^4 - 10*x^3 + 5*x^2 + 10*x + 3",
"EK]w": "x^6 - 9*x^4 - 8*x^3 + 10*x^2 + 12*x + 3",
"E`]w": "x^6 - 9*x^4 - 8*x^3 + 8*x^2 + 8*x",
"EK^w": "x^6 - 10*x^4 - 12*x^3 + 7*x^2 + 14*x + 4",
"EK~o": "x^6 - 10*x^4 - 8*x^3 + 9*x^2 + 8*x",
"EK~w": "x^6 - 11*x^4 - 16*x^3 + 3*x^2 + 16*x + 7",
"EBn_": "x^6 - 8*x^4 - 2*x^3 + 10*x^2 - 2*x - 1",
"E`]o": "x^6 - 8*x^4 - 4*x^3 + 12*x^2 + 4*x - 5",
"ELpw": "x^6 - 9*x^4 - 6*x^3 + 11*x^2 + 4*x - 4",
"ELrw": {
"number": "x^6 - 10*x^4 - 10*x^3 + 10*x^2 + 8*x - 5",
"comment": "This is the wheel $W_6$."
},
"ELv_": "x^6 - 9*x^4 - 4*x^3 + 12*x^2",
"Ek]w": "x^6 - 10*x^4 - 8*x^3 + 9*x^2 + 4*x - 1",
"EJnW": "x^6 - 10*x^4 - 10*x^3 + 8*x^2 + 8*x",
"Ebnw": "x^6 - 11*x^4 - 14*x^3 + 4*x^2 + 8*x",
"EL~w": "x^6 - 12*x^4 - 20*x^3 - 4*x^2 + 8*x + 3",
"ER^W": "x^6 - 10*x^4 - 10*x^3 + 6*x^2 + 6*x - 1",
"EJmw": "x^6 - 10*x^4 - 12*x^3 + 5*x^2 + 12*x + 4",
"EJnw": "x^6 - 11*x^4 - 16*x^3 + x^2 + 10*x + 3",
"EJ]w": "x^6 - 10*x^4 - 14*x^3 + 8*x + 3",
"EJ^w": "x^6 - 11*x^4 - 20*x^3 - 9*x^2 + 4*x + 3",
"EJ~w": "x^6 - 12*x^4 - 22*x^3 - 9*x^2 + 6*x + 4",
"EN~w": "x^6 - 13*x^4 - 26*x^3 - 15*x^2 + 2*x + 3",
"EL~o": "x^6 - 11*x^4 - 12*x^3 + 5*x^2 + 4*x",
"EJ~o": "x^6 - 11*x^4 - 14*x^3 + 4*x",
"Ejmw": "x^6 - 11*x^4 - 12*x^3 + 3*x^2 + 4*x - 1",
"ENzw": "x^6 - 12*x^4 - 18*x^3 - 3*x^2 + 4*x",
"E]~o": "x^6 - 12*x^4 - 16*x^3",
"E]~w": "x^6 - 13*x^4 - 24*x^3 - 12*x^2",
"E^~w": "x^6 - 14*x^4 - 32*x^3 - 27*x^2 - 8*x",
"E~~w": {
"number": "x^6 - 15*x^4 - 40*x^3 - 45*x^2 - 24*x - 5",
"comment": "This is the complete graph $K_6$."
}
},
"T238": {
"A_": {
"number": "x^2 - 2*x",
"comment": "This is the complete graph $K_2$."
},
"BW": {
"number": "x^3 - 4*x^2 + 3*x",
"comment": "This is the path $P_3$."
},
"Bw": {
"number": "x^3 - 6*x^2 + 9*x",
"comment": "This is the complete graph $K_3$."
},
"CF": {
"number": "x^4 - 6*x^3 + 9*x^2 - 4*x",
"comment": "This is the star $K_{1,3}$."
},
"CL": {
"number": "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]": {
"number": "x^4 - 8*x^3 + 20*x^2 - 16*x",
"comment": "This is the cycle $C_4$."
},
"C^": {
"number": "x^4 - 10*x^3 + 32*x^2 - 32*x",
"comment": "This is the diamond graph."
},
"C~": {
"number": "x^4 - 12*x^3 + 48*x^2 - 64*x",
"comment": "This is the complete graph $K_4$."
},
"D?{": {
"number": "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": {
"number": "x^5 - 10*x^4 + 33*x^3 - 40*x^2 + 15*x",
"comment": "This is the bull graph."
},
"DB{": {
"number": "x^5 - 12*x^4 + 49*x^3 - 78*x^2 + 40*x",
"comment": "This is the dart graph."
},
"DFw": {
"number": "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": {
"number": "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{": {
"number": "x^5 - 12*x^4 + 50*x^3 - 84*x^2 + 45*x",
"comment": "This is the butterfly graph."
},
"DLo": {
"number": "x^5 - 10*x^4 + 35*x^3 - 50*x^2 + 25*x",
"comment": "This is the cycle $C_5$."
},
"Dbk": {
"number": "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{": {
"number": "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]{": {
"number": "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~{": {
"number": "x^5 - 20*x^4 + 150*x^3 - 500*x^2 + 625*x",
"comment": "This is the complete graph $K_5$."
},
"E?Bw": {
"number": "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": {
"number": "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": {
"number": "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": {
"number": "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": {
"number": "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_": {
"number": "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": {
"number": "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_": {
"number": "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": {
"number": "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": {
"number": "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": {
"number": "x^6 - 30*x^5 + 360*x^4 - 2160*x^3 + 6480*x^2 - 7776*x",
"comment": "This is the complete graph $K_6$."
}
},
"T397": {
"A_": {
"number": "1",
"comment": "This is the complete graph $K_2$."
},
"BW": {
"number": "1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573",
"comment": "This is the path $P_3$."
},
"Bw": {
"number": "2",
"comment": "This is the complete graph $K_3$."
},
"CF": {
"number": "1.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"comment": "This is the star $K_{1,3}$."
},
"CL": {
"number": "1.618033988749894848204586834365638117720309179805762862135448622705260462818902449707207204189391137",
"comment": "This is the path $P_4$."
},
"CN": "2.170086486626033722703255764425370925420139629823309953668727406386845050170747389675654184183575983",
"C]": {
"number": "2",
"comment": "This is the cycle $C_4$."
},
"C^": {
"number": "2.561552812808830274910704927987038512573599612686810217199316786547477173168810796793931825405342148",
"comment": "This is the diamond graph."
},
"C~": {
"number": "3",
"comment": "This is the complete graph $K_4$."
},
"D?{": {
"number": "2",
"comment": "This is the star $K_{1,4}$."
},
"D@s": "1.847759065022573512256366378793576573644833251727284972230195462561070015002204717429679869700689192",
"D@{": "2.342923082777170208054859010981141633401535644988985107396397609778831369812534203022885938492759474",
"DIk": "2.135779205069856998609045106732457015049180984553435393159356263477978160702461382898118964639877902",
"DBk": {
"number": "2.302775637731994646559610633735247973125648286922623106355226528113583474146505222602309541009245359",
"comment": "This is the bull graph."
},
"DB{": {
"number": "2.685543932670792941698711081156293146120143363919969258765064441696710201412179150973870987405933835",
"comment": "This is the dart graph."
},
"DFw": {
"number": "2.449489742783178098197284074705891391965947480656670128432692567250960377457315026539859433104640235",
"comment": "This is the complete bipartite graph $K_{2,3}$."
},
"DF{": "3",
"DBg": {
"number": "1.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"comment": "This is the path $P_5$."
},
"DK[": "2.214319743377535187415497700848580488907919637219499434331382316509128046433266274795971250341964352",
"DK{": {
"number": "2.561552812808830274910704927987038512573599612686810217199316786547477173168810796793931825405342148",
"comment": "This is the butterfly graph."
},
"DLo": {
"number": "2",
"comment": "This is the cycle $C_5$."
},
"Dbk": {
"number": "2.481194304092015622633537241216857180552745216998476728395893140813836922386765053013291182547853925",
"comment": "This is the house graph."
},
"DL{": "2.935432331970029787605440267731859019934190213999284328822979288977255002268145720532176765305613015",
"DJk": "2.641186476193291946118039992344270805115516999385711348780986142473418462440438052895823004759247855",
"DJ{": "3.086130197651494091249621637238599876979987827576729951381733131110228577078904749942596261991886908",
"DN{": {
"number": "3.323404276086477625771682790702806844309937221726063286543590804852175003710254317564076335675608034",
"comment": "This is the house X graph."
},
"DNw": "2.855772506635988675848699750329851208137845269372794400311907463213768862104002567204786886523659157",
"D]{": {
"number": "3.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275",
"comment": "This is the wheel $W_5$."
},
"D^{": "3.645751311064590590501615753639260425710259183082450180368334459201068823230283627760392886474543611",
"D~{": {
"number": "4",
"comment": "This is the complete graph $K_5$."
},
"E?Bw": {
"number": "2.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275",
"comment": "This is the star $K_{1,5}$."
},
"E?Fg": "2.074313293051942683461584650648540580301816086770307675446444513400348684676946830563474134188113461",
"E?Fw": "2.514136929335291072693774866962217478052476300745404592221671394209341657291773590758070408796216503",
"E@FG": "1.902113032590307144232878666758764286811397268251500444894611288860306340170387003437585621941622763",
"E?NG": "2",
"E@JW": "2.288245611270737190400291134321208306144613507351082450017092295391663458550672630097317821353470934",
"E?NW": "2.445787042458957008698915066858767182567410638713715818218083038198926560904461372943076881721438611",
"E?Nw": "2.813606502648330815441227562360680242184281204765036055326544177222288836704139440406944129656803486",
"E?]o": "2.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275",
"E?^o": "2.557612414958355226293759571741832813418533783025224052023351342890918213204339685255942653880903253",
"E?]w": "2.791287847477920003294023596864004244492228288383985951303621061953434212773885443302180779746722516",
"E?^w": "3.102008990459397085728547900830344064321653146136967865818241070529795607927390349096424854368427239",
"E?~o": {
"number": "2.828427124746190097603377448419396157139343750753896146353359475981464956924214077700775068655283145",
"comment": "This is the complete bipartite graph $K_{2,4}$."
},
"E?~w": "3.372281323269014329925305734109464659110132228991396183849938735282950360728702313513562682798394061",
"E@QW": "1.931851652578136573499486399457794735267809678016809100804686152620846427959711032695123483716140904",
"E@`w": "2.379878123384213860457888930419072471241884572048017225091479012743953787121927604987557445701066672",
"E@Rw": "2.709275359436922839229131667123890933520026739365436655387955853054531053613514344729419334493887558",
"E@YW": "2.246979603717467061050009768008479621264549461792804210731098878193707304912974569151885014653170743",
"EHQW": "2.114907541476755798515614060708543968123756263387176208658987111839571202959207342942475845886297288",
"E@UW": "2.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573",
"EGNW": "2.599072396429373262530060881408530923616121910923656349652226621468795285670312736363972412337178695",
"EAMw": "2.753714823314300890937589739438292469376215211169205153304516888139711682243472110974167860887165939",
"E@Vw": "3.043737925486071349633583834051348448051828295782943907343561462658777584901889630466250628663771265",
"E@YO": {
"number": "1.801937735804838252472204639014890102331838324263714300107124846398864840855879931002722909437024831",
"comment": "This is the path $P_6$."
},
"EI_w": "2.175327747161074873767401364955486885203013272073239078932233498785843011403881640938696042207780704",
"EGdo": "2.228328215946635428618012416451573670497228836835155394506816178679246648384075670138925873462645882",
"EGcw": "2.334200531542926952590632350294958968200791053828431469736278229467399553539679848329711174531562119",
"E@ow": "2.278413609496444976355699162714701805638300768636708140846234642479071502594338676490733107671949178",
"EK`w": "2.503504498939527608354282820565041379539675596665424785759433393223259348492136886236397221192915352",
"ECXw": "2.705586727307843977876666925466066539296363722034600218572791670517353070083945780380393115768704021",
"EGdw": "2.628651281742754676106381551158570094177587553668693579929951365038410933143982072079404577813798720",
"E_Nw": "2.947412642480455534945017438668068227475664836749805804428890330363397550742547600559374586388823492",
"E@NW": "2.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"E@Nw": "3.177409680899284567450793120916332953356981117802851957255217879910626417563745336551698908877391328",
"E_]o": "2.391382380630900845100729034616031832171938259539254240563846155543145908415172249619024786444571248",
"EENg": "2.796437402620957420127841139692157451890434950031887988081974784530018019055030407013575422359926620",
"EC\\w": "3.047799301982685763358350861018086223406763623521872042403431777811799858110870747173521651075269994",
"E@^W": "3.014325652376278198681775029023093418368133103303068692451167748354933082887500653170312006098180364",
"E_]w": "2.903211925911553287485216224057094233775314050044332659604216582082136174217248611458334251977686410",
"E@vw": "3.281394239592148342756254370225053373329990120774030557937814742395316670773904999552568244593545854",
"E@^o": "2.932667756790604989211778763293652444357845629663572020260716282207177953090442195025445013017342418",
"E@]w": "3.164247938460211213053842158805472956053308473477436425811254531471482613400828020372938591082318214",
"E@^w": "3.403681887625378582724206583795170329534177458545674526228965717382371765390002948671203344306205644",
"E@~o": "3.141336115655364134775939916584444138344097025085272990811925139779257006039011379664479302382753563",
"E@~w": "3.626198068527293613376499550078624386827861560263067454451621455650743018847546009894242393959366105",
"EBYW": "2.524337798962138571321189539088279525434946899699867112557244562784208829758921941894994792942769613",
"EBYw": "2.943879139288713632659823949914574258900683781479096695818231044309671998191387737139176633287559013",
"EBZw": "3.323404276086477625771682790702806844309937221726063286543590804852175003710254317564076335675608034",
"EIe_": {
"number": "2",
"comment": "This is the cycle $C_6$."
},
"EKNG": "2.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573",
"EHUW": "2.561552812808830274910704927987038512573599612686810217199316786547477173168810796793931825405342148",
"EoLW": "2.438283239402896719476778250224787386801057509798707219020068674517529505036863076765592340492027160",
"E@]o": "2.709275359436922839229131667123890933520026739365436655387955853054531053613514344729419334493887558",
"EA]o": "2.539483736263698090914467466489040782637582426797168066285693168150401758856480926101840399048382582",
"EaMw": "2.852917361961510614766818255065076943042738297682164859189131858044938149668155437195857392115011247",
"EBhw": "2.980936588101821850585957571644328791933783767637335149139544570226795640340564597246829425960118757",
"EBjW": "2.813606502648330815441227562360680242184281204765036055326544177222288836704139440406944129656803486",
"EBjw": "3.222743305954422271836683749820334050425511731328249093895988319831154343350301834273186402410251467",
"EImo": "2.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"EJYW": "2.895106515927530676934862801268237882051310159555294657819439249048526164617990904331169447804802614",
"EIno": "3.092165610845577458402023469149903710988513063505181797672808073441145209607420988603718757410671593",
"EImw": "3.188756543408521259794837639607821998090348837395049866001340488941465115608520910865822978028865158",
"EInw": "3.514061437546413559053038521869690487645439303764669760278827936120697675226065447244429140822646163",
"EI]w": "3.294791428860279615488270392233380598306224188093178990552037199121345872386131824014276046039448824",
"EB]w": "3.383930712141118710052551041009391483759389160853364520534088642657648609686468604772139564380706948",
"EB^w": "3.710452360906071373494797390989545277519612665827681905771643969671450868320263767310236354775398890",
"EHuw": "3.169194598630087529064393192952014685295006235218589831572498874647740173915857187078509731680275923",
"EBnW": "3.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275",
"EBnw": "3.592614742039923957121997209818636251891417703383108029981338034632735962143738812746891966251209601",
"EB~w": "3.895106515927530676934862801268237882051310159555294657819439249048526164617990904331169447804802614",
"EFz_": {
"number": "3",
"comment": "This is the complete bipartite graph $K_{3,3}$."
},
"Es\\w": "3.392344345629622177158431139954612635117984729176312330775277125971355603993682890931551515855216459",
"EB~o": "3.460867324783100587467614544308356507048985230473192000924683421948758579665419704272766603093487218",
"EFzw": "3.766435483852704785492513757046569213482616878283701641436893476418106845214504648495933408113155937",
"EF~w": "4.162277660168379331998893544432718533719555139325216826857504852792594438639238221344248108379300295",
"EPTW": "2.655442381549830783093779663538277073308461556617692108383879490252595806893046589488864287000596348",
"E`NG": "2.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573",
"E`NW": "2.842235679324305250091786295749228952859175186741678601137493175167167102264034845176630227506560321",
"E`Lw": "3.096507214418280702540299636941058465703747466773807106987829218613302244996512251100516183259854311",
"E`Nw": "3.261802245259971700132160378476816112648867899383106518973815475834236182731252821705791755863070410",
"EJeg": "2.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"EJqw": "3.086798629729300572547050153359199437122714710955401661097208690423802999859395149095287297877128306",
"EK\\w": "3.353855785430828238558337349021730667182378086650920035041686553434242107801107801724115468040700167",
"EK]w": "3.181943336052392891230235752014747576999319714682438928490687083024619953104571360842519079911773880",
"E`]w": "3.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275",
"EK^w": "3.534418480423116338847579833907918215834545597259437779009662736032776226092743295070800298009495234",
"EK~o": "3.372281323269014329925305734109464659110132228991396183849938735282950360728702313513562682798394061",
"EK~w": "3.828427124746190097603377448419396157139343750753896146353359475981464956924214077700775068655283145",
"EBn_": "2.741081981381932845746618330176846555776017784459726537550475937859719535424733666310894259514552387",
"E`]o": "2.791287847477920003294023596864004244492228288383985951303621061953434212773885443302180779746722516",
"ELpw": "3.114907541476755798515614060708543968123756263387176208658987111839571202959207342942475845886297288",
"ELrw": {
"number": "3.449489742783178098197284074705891391965947480656670128432692567250960377457315026539859433104640235",
"comment": "This is the wheel $W_6$."
},
"ELv_": "3",
"Ek]w": "3.388489747541712153158961015045350534316484630641194671592889806149424956667578034686368365394852607",
"EJnW": "3.467932364866079014089102679857024959712655209255025416899863498246655507613331975843628317271083485",
"Ebnw": "3.778457118258388731875613988623416629310968042325731459266036518184239582546990893527978466952757977",
"EL~w": "4.119026675525918923394528033361688438080018844228293153803452657322288133087789712537869485446887740",
"ER^W": "3.497853582412338229826573415914237116384021758141043934379851974209909849952223719610681860417001333",
"EJmw": "3.561552812808830274910704927987038512573599612686810217199316786547477173168810796793931825405342148",
"EJnw": "3.858951435239741379878834246275207179558836735864309209370136723472272450238298761140997067293219533",
"EJ]w": "3.690306445883315985901487546206688458136467927347022074210929015720311847669023591075316310358419889",
"EJ^w": "4.051374241731037088913595522108441693042114899373333368785336845743745319457365031045676855856397812",
"EJ~w": "4.201472338219240758150901735371727671626425356293518170025056124355065493948364547965602927565881781",
"EN~w": "4.427878872370743377002415211196025674391762396906581343705670157868098274723569414718210416385042061",
"EL~o": "3.713584661871094092780461961459869041080084468009225197110911732487291655824718638401442685689609956",
"EJ~o": "3.820089374374787678290963987953721481796392737062140686889545027376720228695404124905986538969105876",
"Ejmw": "3.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576",
"ENzw": "4.067786471504996995467520163797608043867621948370475828123850572496595363221802527654305250699162568",
"E]~o": "4",
"E]~w": "4.372281323269014329925305734109464659110132228991396183849938735282950360728702313513562682798394061",
"E^~w": "4.701562118716424343244108837310906632260210066310509442764636313334091379098438037144677151124934982",
"E~~w": {
"number": "5",
"comment": "This is the complete graph $K_6$."
}
},
"T400": {
"A_": {
"number": "1",
"comment": "This is the complete graph $K_2$."
},
"BW": {
"number": "4",
"comment": "This is the path $P_3$."
},
"Bw": {
"number": "2",
"comment": "This is the complete graph $K_3$."
},
"CF": {
"number": "9",
"comment": "This is the star $K_{1,3}$."
},
"CL": {
"number": "10",
"comment": "This is the path $P_4$."
},
"CN": "19/3",
"C]": {
"number": "5",
"comment": "This is the cycle $C_4$."
},
"C^": {
"number": "4",
"comment": "This is the diamond graph."
},
"C~": {
"number": "3",
"comment": "This is the complete graph $K_4$."
},
"D?{": {
"number": "16",
"comment": "This is the star $K_{1,4}$."
},
"D@s": "18",
"D@{": "38/3",
"DIk": "23/2",
"DBk": {
"number": "40/3",
"comment": "This is the bull graph."
},
"DB{": {
"number": "39/4",
"comment": "This is the dart graph."
},
"DFw": {
"number": "23/3",
"comment": "This is the complete bipartite graph $K_{2,3}$."
},
"DF{": "7",
"DBg": {
"number": "20",
"comment": "This is the path $P_5$."
},
"DK[": "44/3",
"DK{": {
"number": "28/3",
"comment": "This is the butterfly graph."
},
"DLo": {
"number": "10",
"comment": "This is the cycle $C_5$."
},
"Dbk": {
"number": "90/11",
"comment": "This is the house graph."
},
"DL{": "146/21",
"DJk": "41/4",
"DJ{": "17/2",
"DN{": {
"number": "23/4",
"comment": "This is the house X graph."
},
"DNw": "77/12",
"D]{": {
"number": "16/3",
"comment": "This is the wheel $W_5$."
},
"D^{": "14/3",
"D~{": {
"number": "4",
"comment": "This is the complete graph $K_5$."
},
"E?Bw": {
"number": "25",
"comment": "This is the star $K_{1,5}$."
},
"E?Fg": "28",
"E?Fw": "21",
"E@FG": "32",
"E?NG": "29",
"E@JW": "20",
"E?NW": "67/3",
"E?Nw": "35/2",
"E?]o": "21",
"E?^o": "46/3",
"E?]w": "18",
"E?^w": "71/5",
"E?~o": {
"number": "23/2",
"comment": "This is the complete bipartite graph $K_{2,4}$."
},
"E?~w": "11",
"E@QW": "31",
"E@`w": "24",
"E@Rw": "17",
"E@YW": "83/4",
"EHQW": "19",
"E@UW": "23",
"EGNW": "16",
"EAMw": "149/8",
"E@Vw": "99/7",
"E@YO": {
"number": "35",
"comment": "This is the path $P_6$."
},
"EI_w": "23",
"EGdo": "28",
"EGcw": "76/3",
"E@ow": "25",
"EK`w": "16",
"ECXw": "41/2",
"EGdw": "55/3",
"E_Nw": "27/2",
"E@NW": "37/2",
"E@Nw": "16",
"E_]o": "27/2",
"EENg": "47/4",
"EC\\w": "76/5",
"E@^W": "305/21",
"E_]w": "87/7",
"E@vw": "142/13",
"E@^o": "83/6",
"E@]w": "33/2",
"E@^w": "127/10",
"E@~o": "10",
"E@~w": "19/2",
"EBYW": "16",
"EBYw": "111/8",
"EBZw": "61/5",
"EIe_": {
"number": "35/2",
"comment": "This is the cycle $C_6$."
},
"EKNG": "71/5",
"EHUW": "185/11",
"EoLW": "205/14",
"E@]o": "39/2",
"EA]o": "184/11",
"EaMw": "364/29",
"EBhw": "320/21",
"EBjW": "73/6",
"EBjw": "119/11",
"EImo": "45/4",
"EJYW": "29/2",
"EIno": "224/23",
"EImw": "209/20",
"EInw": "9",
"EI]w": "188/15",
"EB]w": "523/40",
"EB^w": "57/5",
"EHuw": "628/61",
"EBnW": "65/6",
"EBnw": "313/33",
"EB~w": "41/5",
"EFz_": {
"number": "9",
"comment": "This is the complete bipartite graph $K_{3,3}$."
},
"Es\\w": "41/5",
"EB~o": "87/10",
"EFzw": "15/2",
"EF~w": "7",
"EPTW": "43/2",
"E`NG": "21",
"E`NW": "29/2",
"E`Lw": "19",
"E`Nw": "12",
"EJeg": "127/10",
"EJqw": "41/4",
"EK\\w": "137/10",
"EK]w": "611/55",
"E`]w": "153/14",
"EK^w": "245/26",
"EK~o": "17/2",
"EK~w": "8",
"EBn_": "397/35",
"E`]o": "12",
"ELpw": "659/66",
"ELrw": {
"number": "95/11",
"comment": "This is the wheel $W_6$."
},
"ELv_": "47/5",
"Ek]w": "1091/130",
"EJnW": "1027/114",
"Ebnw": "1601/209",
"EL~w": "97/14",
"ER^W": "1028/115",
"EJmw": "193/20",
"EJnw": "41/5",
"EJ]w": "176/15",
"EJ^w": "53/5",
"EJ~w": "37/5",
"EN~w": "31/5",
"EL~o": "52/7",
"EJ~o": "79/10",
"Ejmw": "37/5",
"ENzw": "67/10",
"E]~o": "13/2",
"E]~w": "6",
"E^~w": "11/2",
"E~~w": {
"number": "5",
"comment": "This is the complete graph $K_6$."
}
}
}