Order	Degree	Degree sequence	Minimal polynomial	Details	Existence
12	2	[ 2, 2, 1, 2, 2, 2]	[x-2, x-1, x, x+1, x+2, x^2-3 ]	'data2-12-1.txt'	AS
13	2	[ 2, 2, 2, 2, 2, 2 ]	[ x-2, x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1]	'data2-13-1.txt'	AS
20	4	[ 4, 4, 1, 2, 4, 4 ]	[ x-4, x, x+4, x^2-2*x-4, x^2+2*x-4]	'data4-20-1.txt'	AS
20	4	[ 4, 4, 1, 2, 4, 4]	[x-4, x-1, x, x+1, x+4, x^2-5]	'data4-20-2.txt'	AS
22	4	[ 4, 4, 1, 4, 4, 4]	[ x-4, x, x^5+2*x^4-16*x^3-24*x^2+48*x+32]	'data4-22-1.txt'	AS
24	5	[ 5, 5, 1, 2, 5, 5]	[x-5, x-4, x-1, x, x+1, x+4, x+5]	'data5-24-1.txt'	TA-xHL
24	5	[ 5, 5, 1, 2, 5, 5 ]	[ x-5, x-3, x-2, x, x+2, x+3, x+5]	'data5-24-2.txt'	TA-xHL
28	6	[ 6, 6, 1, 2, 6, 6]	[ x-6, x, x+6, x^2-2*x-6, x^2+2*x-6 ]	'data6-28-1.txt'	AS
28	6	[6, 6, 1, 2, 6, 6 ]	[ x-6, x-1, x, x+1, x+6, x^2-7 ]	'data6-28-2.txt'	AS
30	6	[6, 6, 2, 3, 6, 6 ]	[ x-6, x, x+6, x^2-3*x-9, x^2+3*x-9]	'data6-30-1.txt'	AS
30	6	[ 6, 6, 2, 3, 6, 6]	[ x-6, x-3, x-2, x, x+2, x+3, x+4]	'data6-30-2.txt'	TA-xIM
30	8	[ 8, 2, 1, 2, 8, 8]	[ x-8, x-4, x-1, x, x+2, x+3, x+4]	'data8-30-1.txt'	TA-xR
30	8	[ 8, 4, 1, 4, 4, 8]	[x-8, x, x+4, x^2-2*x-4, x^2+4*x-16]	'data8-30-2.txt'	AS
30	8	[ 8, 8, 1, 4, 4, 4]	[x-8, x-2, x-1, x, x+2, x+4, x+5]	'data8-30-3.txt'	TA-xIM
32	6	[ 6, 3, 4, 6, 6, 6]	[ x-6, x-2, x, x+2, x+6, x^2-8]	'data6-32-1.txt'	TA-xR
33	6	[ 6, 6, 2, 6, 6, 6]	[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243]	'data6-33-1.txt'	AS
36	4	[ 4, 8, 1, 6, 8, 8 ]	[ x-4, x, x+4, x^4-16*x^2+54]	'data4-36-1.txt'	TA-xR
36	8	[ 8, 8, 1, 2, 8, 8 ]	[x-8, x-4, x-2, x, x+2, x+4, x+8]	'data8-36-3.txt'	AS
36	8	[ 8, 8, 1, 2, 8, 8 ]	[x-8, x, x+8, x^2-4*x-6, x^2+4*x-6 ]	'data8-36-1.txt'	TA-xIM
36	8	[ 8, 8, 1, 2, 8, 8 ]	[x-8, x, x+8, x^2-2*x-12, x^2+2*x-12 ]	'data8-36-5.txt'	TA-xIM
36	8	[ 8, 8, 1, 2, 8, 8 ]	[x-8, x-3, x-1, x, x+1, x+3, x+8 ]	'data8-36-7.txt'	O
36	10	[ 10, 10, 1, 2, 2, 10 ]	[x-10, x-1, x, x+2, x+5, x^2-15]	'data10-36-1.txt'	TA-xR
36	10	[ 10, 10, 2, 3, 5, 5]	[ x-10, x-6, x-1, x, x+1, x+6, x+10]	'data10-36-2.txt'	TA-xR
40	6	[ 6, 6, 1, 2, 6, 18]	[x-6, x-3, x-2, x, x+2, x+3, x+4]	'data6-40-1.txt'	TA-xIM
40	6	[ 6, 6, 1, 6, 8, 12]	[ x-6, x, x+6, x^2-12, x^2-6]	'data6-40-2.txt'	O
40	6	[ 6, 6, 1, 6, 8, 12]	[ x-6, x-4, x, x+4, x+6, x^2-8 ]	'data6-40-1.txt'	TA-xIM
40	6	[ 6, 6, 1, 6, 8, 12]	[ x-6, x, x+6, x^2-12, x^2-6]	'data6-40-2.txt'	O
40	8	[ 8, 8, 3, 4, 8, 8]	[ x-8, x, x+8, x^2-4*x-16, x^2+4*x-16]	'data8-40-1.txt'	AS
40	8	[ 8, 8, 3, 4, 8, 8 ]	[x-8, x, x+8, x^2-4*x-16, x^2+4*x-16]	'data8-40-1.txt'	AS
40	9	[ 9, 9, 1, 2, 9, 9]	[ x-9, x-6, x-1, x, x+1, x+6, x+9 ]	'data9-40-1.txt'	TA-xHL
40	12	[ 12, 3, 4, 4, 4, 12]	[ x-12, x-3, x, x+3, x+12, x^2-5]	'data12-40-1.txt'	AS
40	12	[ 12, 6, 1, 2, 6, 12]	[ x-12, x-4, x-2, x, x+2, x+4, x+12]	'data12-40-2.txt'	AS
40	12	[ 12, 6, 1, 4, 4, 12]	[x-12, x, x+4, x^2-2*x-4, x^2+6*x-36]	'data12-40-3.txt'	AS
40	12	[ 12, 12, 3, 4, 4, 4]	[ x-12, x-3, x, x+3, x+12, x^2-5 ]	'data12-40-4.txt'	O
42	6	[ 6, 6, 2, 3, 12, 12 ]	[x-6, x-1, x, x+1, x+6, x^2-7 ]	'data6-42-1.txt'	O
42	12	[ 12, 2, 1, 2, 12, 12]	[ x-12, x-6, x-1, x, x+2, x+3, x+6]	'data12-42-1.txt'	TA-xIM
42	12	[ 12, 2, 3, 6, 6, 12]	[ x-12, x-2, x, x+2, x+12, x^2-7]	'data12-42-2.txt'	O
42	12	[ 12, 12, 1, 4, 6, 6 ]	[ x-12, x-2, x-1, x, x+2, x+6, x+7]	'data12-42-7.txt'	O
48	8	[ 8, 8, 1, 2, 12, 16 ]	[x-8, x, x+4, x^2-4*x-8, x^2+4*x-8]	'data8-48-1.txt'	O
44	10	[ 10, 10, 1, 2, 10, 10]	[x-10, x, x+10, x^2-2*x-10, x^2+2*x-10]	'data10-44-1.txt'	O
44	10	[ 10, 10, 1, 2, 10, 10]	[ x-10, x-1, x, x+1, x+10, x^2-11 ]	'data10-44-3.txt'	O
44	12	[ 12, 6, 4, 6, 6, 9]	[ x-12, x, x+12, x^4-34*x^2+44]	'data12-44-1.txt'	TA-xIM
45	12	[ 12, 6, 2, 6, 6, 12]	[ x-12, x, x+6, x^2-3*x-9, x^2+6*x-36]	'data12-45-1.txt'	O
48	10	[ 10, 10, 1, 2, 4, 20]	[ x-10, x, x+2, x^2-20, x^2+4*x-20]	'data10-48-1.txt'	O
48	10	[ 10, 10, 1, 2, 12, 12]	[ x-10, x-5, x-2, x, x+2, x+5, x+10]	'data10-48-2.txt'	O
48	10	[ 10, 10, 3, 4, 10, 10]	[ x-10, x-8, x-2, x, x+2, x+8, x+10]	'data10-48-3.txt'	O
48	10	[ 10, 10, 3, 4, 10, 10]	[ x-10, x-6, x-4, x, x+4, x+6, x+10 ]	'data10-48-4.txt'	O
48	11	[11, 11, 1, 2, 11, 11]	[ x-11, x-5, x-2, x, x+2, x+5, x+11]	'data11-48-1.txt'	TA-xHL
48	11	[ 11, 11, 1, 2, 11, 11 ]	[ x-11, x-4, x-3, x, x+3, x+4, x+11]	'data11-48-3.txt'	TA-xHL
48	12	[ 12, 2, 3, 6, 6, 18]	[ x-12, x, x+4, x^2-8*x-24, x^2+4*x-6]	'data12-48-1.txt'	TA-xIM
48	12	[ 12, 12, 1, 2, 10, 10]	[ x-12, x-4, x-3, x, x+3, x+4, x+12]	'data12-48-3.txt'	TA-xIM
48	12	[ 12, 12, 1, 2, 8, 12]	[ x-12, x-2, x, x+4, x+6, x^2+4*x-24]	'data12-48-6.txt'	TA-xIM
48	12	[ 12, 12, 1, 2, 8, 12]	[ x-12, x-2, x, x+4, x+6, x^2-24 ]	'data12-48-7.txt'	O
48	12	[ 12, 12, 1, 2, 8, 12 ]	[ x-12, x-2, x, x+4, x+6, x^2-12]	'data12-48-9.txt'	O
48	12	[ 12, 12, 1, 2, 8, 12]	[ x-12, x-2, x, x+4, x+6, x^2-2*x-12]	'data12-48-10.txt'	TA-xIM
48	12	[ 12, 12, 1, 2, 8, 12]	[ x-12, x-6, x-2, x, x+2, x+4, x+6]	'data12-48-11.txt'	O
48	12	[ 12, 12, 1, 4, 6, 12]	[ x-12, x-2, x, x+4, x+6, x^2+4*x-6]	'data12-48-12.txt'	TA-xIM
48	12	[ 12, 12, 1, 4, 6, 12]	[ x-12, x, x+4, x^2-12, x^2+4*x-6]	'data12-48-13.txt'	TA-xIM
50	12	[12, 6, 3, 8, 8, 12]	[ x-12, x, x+8, x^2-4*x-16, x^2+6*x-36]	'data12-50-1.txt'	TA-xIM
52	8	[ 8, 8, 1, 2, 16, 16 ]	[x-8, x, x+8, x^2-3*x-14, x^2+3*x-14]	'data8-52-1.txt'	O
52	8	[ 8, 16, 1, 2, 8, 16 ]	[ x-8, x, x^2-8, x^3+2*x^2-16*x+8]	'data8-52-3.txt'	O
52	12	[ 12, 12, 1, 2, 12, 12 ]	[ x-12, x, x+12, x^2-2*x-12, x^2+2*x-12]	'data12-52-1.txt'	O
52	12	[ 12, 12, 1, 2, 12, 12 ]	[x-12, x-1, x, x+1, x+12, x^2-13]	'data12-52-3.txt'	O
54	3	[ 3, 6, 8, 12, 12, 12]	[ x-3, x, x+3, x^2-6, x^2-3 ]	'data3-54-1.txt'	O
54	6	[ 6, 6, 2, 9, 12, 18 ]	[ x-6, x-3, x, x+3, x+6, x^2-6 ]	'data6-54-1.txt'	O
54	10	[ 10, 6, 2, 5, 10, 20 ]	[ x-10, x-6, x-4, x, x+3, x+5, x+8 ]	'data10-54-1.txt'	O
54	12	[12, 4, 4, 6, 9, 18]	[x-12, x-6, x-3, x, x+3, x+6, x+12]	'data12-54-1.txt'	O
54	12	[12, 6, 2, 6, 9, 18 ]	[ x-12, x-6, x, x+6, x+12, x^2-18]	'data12-54-3.txt'	O
54	12	[ 12, 6, 3, 8, 12, 12 ]	[x-12, x, x+12, x^2-12, x^2-6]	'data12-54-4.txt'	O
54	12	[ 12, 8, 3, 6, 12, 12 ]	[x-12, x, x+12, x^2-24, x^2-3]	'data12-54-5.txt'	O
54	12	[ 12, 12, 2, 3, 12, 12 ]	[x-12, x, x+12, x^2-9*x-9, x^2+9*x-9]	'data12-54-6.txt'	TA-xIM
55	10	[ 10, 10, 4, 10, 10, 10]	[x-10, x, x^5+5*x^4-100*x^3-375*x^2+1875*x+3125]	'data10-55-1.txt'	O
56	4	[ 4, 12, 3, 12, 12, 12 ]	[ x-4, x, x+4, x^2-6, x^2-2]	'data4-56-1.txt'	O
56	6	[ 6, 3, 6, 12, 12, 16 ]	[ x-6, x, x+6, x^2-12, x^2-8]	'data6-56-1.txt'	O
56	8	[ 8, 8, 3, 8, 12, 16 ]	[ x-8, x-6, x, x+6, x+8, x^2-24 ]	'data8-56-1.txt'	O
56	10	[ 10, 10, 2, 3, 15, 15]	[ x-10, x-6, x-4, x, x+4, x+6, x+10 ]	'data10-56-1.txt'	O
56	12	[ 12, 3, 4, 12, 12, 12 ]	[x-12, x, x+12, x^2-18, x^2-6]	'data12-56-1.txt'	O
56	12	[ 12, 3, 4, 12, 12, 12 ]	[x-12, x-2, x, x+2, x+12, x^2-24]	'data12-56-3.txt'	O
56	12	[ 12, 12, 1, 2, 4, 24]	[x-12, x, x+2, x^2-6*x-12, x^2+8*x-12 ]	'data12-56-7.txt'	TA-xIM
56	12	[ 12, 12, 1, 2, 4, 24 ]	[x-12, x-4, x, x+2, x+6, x^2+4*x-24]	'data12-56-8.txt'	TA-xIM
56	12	[ 12, 12, 1, 6, 12, 12 ]	[x-12, x, x+2, x+4, x^3-2*x^2-36*x+8]	'data12-56-9.txt'	O
56	12	[ 12, 12, 3, 4, 12, 12 ]	[x-12, x, x+12, x^2-4*x-24, x^2+4*x-24]	'data12-56-12.txt'	O
56	12	[ 12, 12, 3, 4, 12, 12 ]	[x-12, x-2, x, x+2, x+12, x^2-12]	'data12-56-15.txt'	O
60	6	[ 6, 9, 2, 12, 12, 18 ]	[x-6, x, x+6, x^2-24, x^2-6]	'data6-60-1.txt'	O
60	7	[ 7, 21, 1, 2, 7, 21 ]	[ x-7, x-4, x, x+3, x^3-21*x+28]	'data7-60-1.txt'	O
60	9	[ 9, 9, 2, 3, 18, 18]	[x-9, x, x+9, x^2-3*x-24, x^2+3*x-24 ]	'data9-60-1.txt'	O
60	9	[ 9, 9, 2, 3, 18, 18]	[x-9, x-1, x, x+1, x+9, x^2-10 ]	'data9-60-3.txt'	O
60	12	[ 12, 3, 4, 12, 12, 16 ]	[x-12, x-4, x-2, x, x+4, x+6, x+8]	'data12-60-1.txt'	TA-xIM
60	12	[ 12, 16, 1, 6, 12, 12 ]	[x-12, x-6, x-2, x, x+2, x+6, x+12]	'data12-60-2.txt'	O
60	12	[ 12, 12, 1, 2, 16, 16 ]	[x-12, x-6, x-3, x, x+3, x+6, x+12]	'data12-60-4.txt'	TA-xIM
60	12	[ 12, 12, 1, 4, 6, 24 ]	[x-12, x-9, x-2, x, x+3, x+4, x+9]	'data12-60-8.txt'	TA-xIM
60	12	[ 12, 12, 5, 6, 12, 12]	[x-12, x, x+12, x^2-6*x-36, x^2+6*x-36]	'data12-60-9.txt'	O
60	12	[ 12, 12, 2, 3, 6, 24 ]	[x-12, x-8, x-1, x, x+2, x+3, x+4 ]	'data12-60-12.txt'	O
60	12	[ 12, 12, 3, 4, 14, 14 ]	[x-12, x-8, x-3, x, x+3, x+8, x+12]	'data12-60-15.txt'	TA-xIM
63	6	[ 6, 4, 4, 12, 18, 18 ]	[ x-6, x-3, x, x+3, x^3+3*x^2-18*x-27 ]	'data6-63-1.txt'	O
63	12	[ 12, 4, 4, 6, 18, 18 ]	[ x-12, x-3, x, x+3, x^3+6*x^2-72*x-216]	'data12-63-1.txt'	O
63	12	[ 12, 6, 2, 6, 18, 18 ]	[x-12, x, x^2-18, x^3+6*x^2-72*x-216]	'data12-63-3.txt'	O
64	10	[ 10, 10, 1, 2, 20, 20]	[ x-10, x, x+10, x^2-2*x-16, x^2+2*x-16 ]	'data10-64-1.txt'	O
64	10	[ 10, 10, 1, 2, 20, 20]	[ x-10, x-6, x, x+2, x+6, x^2+4*x-20 ]	'data10-64-2.txt'	O
64	10	[ 10, 10, 1, 10, 12, 20 ]	[ x-10, x-6, x, x+6, x+10, x^2-12]	'data10-64-4.txt'	O
64	12	[ 12, 3, 4, 8, 12, 24]	[ x-12, x, x+4, x^2-48, x^2+4*x-8 ]	'data12-64-1.txt'	TA-xIM
64	12	[ 12, 3, 4, 8, 12, 24]	[ x-12, x-4, x, x+4, x+12, x^2-8 ]	'data12-64-2.txt'	O
64	12	[ 12, 3, 4, 8, 12, 24]	[ x-12, x, x+4, x^2-8*x-24, x^2+8*x-8 ]	'data12-64-3.txt'	TA-xIM
64	12	[ 12, 3, 6, 6, 12, 24]	[ x-12, x, x+4, x^2-8*x-16, x^2+8*x-16]	'data12-64-4.txt'	TA-xIM
64	12	[ 12, 3, 6, 6, 12, 24 ]	[ x-12, x-2, x, x+4, x+8, x^2-4*x-16]	'data12-64-5.txt'	TA-xIM
64	12	[ 12, 18, 1, 8, 12, 12]	[ x-12, x, x+12, x^2-12, x^2-8]	'data12-64-8.txt'	O
64	12	[ 12, 3, 12, 12, 12, 12 ]	[ x-12, x, x+4, x^2-24, x^2+8*x-16 ]	'data12-64-9.txt'	TA-xIM
64	12	[ 12, 12, 1, 2, 12, 24 ]	[ x-12, x, x+4, x^2-8*x-12, x^2+8*x-12]	'data12-64-13.txt'	TA-xIM
64	12	[ 12, 12, 1, 2, 12, 24]	[ x-12, x-2, x, x+4, x+6, x^2-12]	'data12-64-14.txt'	O
64	12	[ 12, 12, 1, 2, 12, 24]	[ x-12, x-4, x, x+4, x+6, x^2+4*x-16]	'data12-64-17.txt'	O
64	12	[ 12, 12, 1, 6, 8, 24 ]	[ x-12, x, x+4, x^2-8*x-8, x^2+8*x-12]	'data12-64-20.txt'	TA-xIM
64	12	[ 12, 12, 1, 6, 8, 24 ]	[ x-12, x-2, x, x+4, x+8, x^2-4*x-48]	'data12-64-21.txt'	TA-xIM
64	12	[ 12, 12, 1, 6, 8, 24]	[ x-12, x, x+4, x^2-48, x^2+4*x-16]	'data12-64-22.txt'	TA-xIM
64	12	[ 12, 12, 1, 6, 8, 24]	[ x-12, x-2, x, x+4, x+6, x^2-48]	'data12-64-23.txt'	O
64	12	[ 12, 12, 1, 8, 12, 18]	[ x-12, x, x+12, x^2-12, x^2-8]	'data12-64-25.txt'	O
64	12	[ 12, 12, 3, 4, 8, 24 ]	[x-12, x-6, x, x+4, x+8, x^2+4*x-48]	'data12-64-28.txt'	TA-xIM
64	12	[ 12, 12, 3, 6, 6, 24]	[ x-12, x-2, x, x+4, x+8, x^2-4*x-8 ]	'data12-64-33.txt'	TA-xIM
66	10	[ 10, 10, 2, 3, 20, 20 ]	[ x-10, x, x+10, x^2-2*x-21, x^2+2*x-21]	'data10-66-1.txt'	O
66	12	[ 12, 12, 5, 12, 12, 12]	[x-12, x, x^5+6*x^4-144*x^3-648*x^2+3888*x+7776 ]	'data12-66-1.txt'	TA-xIM
70	10	[10, 10, 4, 5, 20, 20 ]	[ x-10, x, x+10, x^2-x-40, x^2+x-40 ]	'data10-70-1.txt'	O
70	12	[12, 12, 6, 7, 16, 16]	[ x-12, x-9, x-7, x, x+7, x+9, x+12]	'data12-70-1.txt'	TA-xIM
70	12	[12, 12, 4, 5, 18, 18]	[ x-12, x-8, x-5, x, x+5, x+8, x+12]	'data12-70-3.txt'	TA-xIM
70	12	[12, 12, 1, 8, 12, 24]	[ x-12, x-3, x-2, x, x+2, x+4, x+7]	'data12-70-5.txt'	O