Tetrahedron Rules

Quality markers:

P: positive weights
N: some negative weights
I: all quadrature points are strictly inside the reference element
B: some quadrature points lie on the boundary
O: some quadrature points lie outside the reference element

Degree	Points	Accuracy	Quality	Orbits	Reference
1	1	`1.43e-32`	PI	`[1, 0, 0, 0, 0]`	[JS21]
1	1	`1.43e-32`	PI	`[1, 0, 0, 0, 0]`	[WV15]
2	4	`7.14e-33`	PI	`[0, 1, 0, 0, 0]`	[JS21]
2	4	`7.14e-33`	PI	`[0, 1, 0, 0, 0]`	[WV15]
3	8	`1.56e-32`	PI	`[0, 2, 0, 0, 0]`	[JS21]
3	8	`8.99e-33`	PI	`[0, 2, 0, 0, 0]`	[WV15]
4	14	`2.54e-33`	PI	`[0, 2, 1, 0, 0]`	[JS21]
4	14	`9.15e-33`	PI	`[0, 2, 1, 0, 0]`	[CCGV22]
5	14	`4.45e-33`	PI	`[0, 2, 1, 0, 0]`	[WV15]
5	14	`4.69e-33`	PI	`[0, 2, 1, 0, 0]`	[JS21]
5	14	`6.96e-33`	PI	`[0, 2, 1, 0, 0]`	[CCGV22]
6	24	`3.72e-33`	PI	`[0, 3, 0, 1, 0]`	[JS21]
6	24	`3.72e-33`	PI	`[0, 3, 0, 1, 0]`	[WV15]
6	24	`5.02e-33`	PI	`[0, 3, 0, 1, 0]`	[CCGV22]
7	35	`1.62e-32`	PI	`[1, 1, 1, 2, 0]`	[WV15]
7	35	`2.36e-32`	PI	`[1, 1, 1, 2, 0]`	[JS21]
7	35	`8.62e-32`	PI	`[1, 1, 1, 2, 0]`	[CCGV22]
8	46	`1.36e-32`	PI	`[0, 4, 1, 2, 0]`	[CCGV22]
8	46	`1.58e-32`	PI	`[0, 4, 1, 2, 0]`	[JS21]
8	46	`2.23e-32`	PI	`[0, 4, 1, 2, 0]`	[ZCL09]
8	46	`2.26e-32`	PI	`[0, 4, 1, 2, 0]`	[WV15]
9	59	`1.93e-32`	PI	`[1, 4, 1, 3, 0]`	[JS21]
9	59	`2.28e-32`	PI	`[1, 4, 1, 3, 0]`	[WV15]
9	59	`5.24e-32`	PI	`[1, 4, 1, 3, 0]`	[CCGV22]
10	79	`2.73e-32`	PI	`[1, 3, 1, 5, 0]`	[CCGV22]
10	81	`2.76e-32`	PI	`[1, 2, 0, 6, 0]`	[WV15]
10	81	`3.75e-32`	PI	`[1, 2, 2, 5, 0]`	[JS21]
11	98	`2.18e-31`	PI	`[0, 5, 1, 4, 1]`	[CCGV22]
11	110	`3.37e-32`	PI	`[0, 2, 3, 5, 1]`	[JS21]
12	123	`3.13e-14`	PI	`[1, 5, 1, 6, 1]`	[CCGV22]
12	168	`1.43e-31`	PI	`[0, 3, 2, 4, 4]`	[JS21]
13	145	`7.47e-31`	PI	`[1, 3, 2, 8, 1]`	[CCGV22]
13	172	`1.45e-31`	PI	`[0, 4, 2, 6, 3]`	[JS21]
14	175	`2.44e-30`	PI	`[1, 6, 1, 10, 1]`	[CCGV22]
14	204	`1.47e-31`	PI	`[0, 6, 4, 5, 4]`	[JS21]
14	236	`1.48e-16`	PI	`[0, 5, 0, 4, 7]`	[ZCL09]
15	209	`2.17e-30`	PI	`[1, 4, 2, 11, 2]`	[CCGV22]
15	264	`1.28e-31`	PI	`[0, 3, 2, 6, 7]`	[JS21]
16	248	`1.48e-16`	PI	`[0, 8, 2, 11, 3]`	[CCGV22]
16	304	`2.21e-31`	PI	`[0, 4, 2, 7, 8]`	[JS21]
17	284	`4.34e-30`	PI	`[0, 8, 2, 14, 3]`	[CCGV22]
17	364	`1.03e-31`	PI	`[0, 4, 4, 9, 9]`	[JS21]
18	343	`1.48e-16`	PI	`[1, 6, 1, 18, 4]`	[CCGV22]
18	436	`3.77e-31`	PI	`[0, 7, 8, 10, 10]`	[JS21]
19	383	`5.81e-29`	PI	`[1, 7, 3, 18, 5]`	[CCGV22]
19	487	`1.46e-30`	PI	`[1, 3, 1, 13, 13]`	[JS21]
20	441	`1.48e-16`	PI	`[1, 8, 4, 20, 6]`	[CCGV22]
20	552	`1.76e-30`	PI	`[0, 6, 2, 13, 15]`	[JS21]