Subalgebra 2A11 ↪ E16
21 out of 119
Computations done by the calculator project.

Subalgebra type: 2A11 (click on type for detailed printout).
The subalgebra is regular (= the semisimple part of a root subalgebra).
Subalgebra is (parabolically) induced from A11 .
Centralizer: A13 + T1 (toral part, subscript = dimension).
The semisimple part of the centralizer of the semisimple part of my centralizer: 2A11
Basis of Cartan of centralizer: 4 vectors: (0, 0, 1, 0, 0, 0), (0, 0, 0, 1, 0, 0), (0, 0, 0, 0, 1, 0), (1, 0, 0, 0, 0, -1)
Contained up to conjugation as a direct summand of: 3A11 , A21+2A11 , A41+2A11 , A101+2A11 , 4A11 , 2A21+2A11 , A12+2A11 , B12+2A11 , A13+2A11 .

Elements Cartan subalgebra scaled to act by two by components: A11: (1, 2, 2, 3, 2, 1): 2, A11: (1, 0, 1, 1, 1, 1): 2
Dimension of subalgebra generated by predefined or computed generators: 6.
Negative simple generators: g−36, g−24
Positive simple generators: g36, g24
Cartan symmetric matrix: (2002)
Scalar products of elements of Cartan subalgebra scaled to act by 2 (co-symmetric Cartan matrix): (2002)
Decomposition of ambient Lie algebra: V2ω2⊕6Vω1+ω2⊕V2ω1⊕8Vω2⊕8Vω1⊕16V0
Primal decomposition of the ambient Lie algebra. This decomposition refines the above decomposition (please note the order is not the same as above). Vω2+2ψ3+4ψ4⊕Vω1−2ψ2+2ψ3+4ψ4⊕Vω1−2ψ1+2ψ2+4ψ4⊕Vω1+2ψ1+2ψ4⊕V−2ψ2+4ψ3+2ψ4⊕V−2ψ1+2ψ2+2ψ3+2ψ4⊕Vω1+ω2−2ψ1+2ψ3+2ψ4⊕V2ψ1+2ψ3⊕Vω1+ω2+2ψ1−2ψ2+2ψ3⊕Vω1+ω2+2ψ2⊕Vω2−2ψ1+4ψ4⊕Vω2+2ψ1−2ψ2+2ψ4⊕Vω2+2ψ2−2ψ3+2ψ4⊕V2ω2⊕V2ω1⊕Vω1−2ψ3+2ψ4⊕Vω1+2ψ3−2ψ4⊕V−2ψ1−2ψ2+2ψ3+2ψ4⊕V−4ψ1+2ψ2+2ψ4⊕V2ψ1−4ψ2+2ψ3⊕4V0⊕Vω1+ω2−2ψ2⊕V−2ψ1+4ψ2−2ψ3⊕Vω1+ω2−2ψ1+2ψ2−2ψ3⊕V4ψ1−2ψ2−2ψ4⊕V2ψ1+2ψ2−2ψ3−2ψ4⊕Vω1+ω2+2ψ1−2ψ3−2ψ4⊕Vω2−2ψ2+2ψ3−2ψ4⊕Vω2−2ψ1+2ψ2−2ψ4⊕Vω2+2ψ1−4ψ4⊕Vω1−2ψ1−2ψ4⊕Vω1+2ψ1−2ψ2−4ψ4⊕Vω1+2ψ2−2ψ3−4ψ4⊕V−2ψ1−2ψ3⊕V2ψ1−2ψ2−2ψ3−2ψ4⊕V2ψ2−4ψ3−2ψ4⊕Vω2−2ψ3−4ψ4
In the table below we indicate the highest weight vectors of the decomposition of the ambient Lie algebra as a module over the semisimple part. The second row indicates weights of the highest weight vectors relative to the Cartan of the semisimple subalgebra. As the centralizer is well-chosen and the centralizer of our subalgebra is non-trivial, we may in addition split highest weight vectors with the same weight over the semisimple part over the centralizer (recall that the centralizer preserves the weights over the subalgebra and in particular acts on the highest weight vectors). Therefore we have chosen our highest weight vectors to be, in addition, weight vectors over the Cartan of the centralizer of the starting subalgebra. Their weight over the sum of the Cartans of the semisimple subalgebra and its centralizer is indicated in the third row. The weights corresponding to the Cartan of the centralizer are again indicated with the letter \omega. As there is no preferred way of chosing a basis of the Cartan of the centralizer (unlike the starting semisimple Lie algebra: there we have a preferred basis induced by the fundamental weights), our centralizer weights are simply given by the constant by which the k^th basis element of the Cartan of the centralizer acts on the highest weight vector. Here, we use the choice for basis of the Cartan of the centralizer given at the start of the page.

Highest vectors of representations (total 40) ; the vectors are over the primal subalgebra.g−5g−10g−15g9g3g4h4−h6+h1h3h5g−4g−3g−9g15g10g5g28g25g20g31g17g29g26g22g6g21g16g11g12g7g1g18g36g32g30g27g35g34g33g24
weight0000000000000000ω1ω1ω1ω1ω1ω1ω1ω1ω2ω2ω2ω2ω2ω2ω2ω22ω1ω1+ω2ω1+ω2ω1+ω2ω1+ω2ω1+ω2ω1+ω22ω2
weights rel. to Cartan of (centralizer+semisimple s.a.). 2ψ2−4ψ3−2ψ42ψ1−2ψ2−2ψ3−2ψ4−2ψ1−2ψ32ψ1+2ψ2−2ψ3−2ψ44ψ1−2ψ2−2ψ4−2ψ1+4ψ2−2ψ300002ψ1−4ψ2+2ψ3−4ψ1+2ψ2+2ψ4−2ψ1−2ψ2+2ψ3+2ψ42ψ1+2ψ3−2ψ1+2ψ2+2ψ3+2ψ4−2ψ2+4ψ3+2ψ4ω1+2ψ2−2ψ3−4ψ4ω1+2ψ1−2ψ2−4ψ4ω1−2ψ1−2ψ4ω1+2ψ3−2ψ4ω1−2ψ3+2ψ4ω1+2ψ1+2ψ4ω1−2ψ1+2ψ2+4ψ4ω1−2ψ2+2ψ3+4ψ4ω2−2ψ3−4ψ4ω2+2ψ1−4ψ4ω2−2ψ1+2ψ2−2ψ4ω2−2ψ2+2ψ3−2ψ4ω2+2ψ2−2ψ3+2ψ4ω2+2ψ1−2ψ2+2ψ4ω2−2ψ1+4ψ4ω2+2ψ3+4ψ42ω1ω1+ω2+2ψ1−2ψ3−2ψ4ω1+ω2−2ψ1+2ψ2−2ψ3ω1+ω2−2ψ2ω1+ω2+2ψ2ω1+ω2+2ψ1−2ψ2+2ψ3ω1+ω2−2ψ1+2ψ3+2ψ42ω2
Isotypic module decomposition over primal subalgebra (total 37 isotypic components).
Isotypical components + highest weightV2ψ2−4ψ3−2ψ4 → (0, 0, 0, 2, -4, -2)V2ψ1−2ψ2−2ψ3−2ψ4 → (0, 0, 2, -2, -2, -2)V−2ψ1−2ψ3 → (0, 0, -2, 0, -2, 0)V2ψ1+2ψ2−2ψ3−2ψ4 → (0, 0, 2, 2, -2, -2)V4ψ1−2ψ2−2ψ4 → (0, 0, 4, -2, 0, -2)V−2ψ1+4ψ2−2ψ3 → (0, 0, -2, 4, -2, 0)V0 → (0, 0, 0, 0, 0, 0)V2ψ1−4ψ2+2ψ3 → (0, 0, 2, -4, 2, 0)V−4ψ1+2ψ2+2ψ4 → (0, 0, -4, 2, 0, 2)V−2ψ1−2ψ2+2ψ3+2ψ4 → (0, 0, -2, -2, 2, 2)V2ψ1+2ψ3 → (0, 0, 2, 0, 2, 0)V−2ψ1+2ψ2+2ψ3+2ψ4 → (0, 0, -2, 2, 2, 2)V−2ψ2+4ψ3+2ψ4 → (0, 0, 0, -2, 4, 2)Vω1+2ψ2−2ψ3−4ψ4 → (1, 0, 0, 2, -2, -4)Vω1+2ψ1−2ψ2−4ψ4 → (1, 0, 2, -2, 0, -4)Vω1−2ψ1−2ψ4 → (1, 0, -2, 0, 0, -2)Vω1+2ψ3−2ψ4 → (1, 0, 0, 0, 2, -2)Vω1−2ψ3+2ψ4 → (1, 0, 0, 0, -2, 2)Vω1+2ψ1+2ψ4 → (1, 0, 2, 0, 0, 2)Vω1−2ψ1+2ψ2+4ψ4 → (1, 0, -2, 2, 0, 4)Vω1−2ψ2+2ψ3+4ψ4 → (1, 0, 0, -2, 2, 4)Vω2−2ψ3−4ψ4 → (0, 1, 0, 0, -2, -4)Vω2+2ψ1−4ψ4 → (0, 1, 2, 0, 0, -4)Vω2−2ψ1+2ψ2−2ψ4 → (0, 1, -2, 2, 0, -2)Vω2−2ψ2+2ψ3−2ψ4 → (0, 1, 0, -2, 2, -2)Vω2+2ψ2−2ψ3+2ψ4 → (0, 1, 0, 2, -2, 2)Vω2+2ψ1−2ψ2+2ψ4 → (0, 1, 2, -2, 0, 2)Vω2−2ψ1+4ψ4 → (0, 1, -2, 0, 0, 4)Vω2+2ψ3+4ψ4 → (0, 1, 0, 0, 2, 4)V2ω1 → (2, 0, 0, 0, 0, 0)Vω1+ω2+2ψ1−2ψ3−2ψ4 → (1, 1, 2, 0, -2, -2)Vω1+ω2−2ψ1+2ψ2−2ψ3 → (1, 1, -2, 2, -2, 0)Vω1+ω2−2ψ2 → (1, 1, 0, -2, 0, 0)Vω1+ω2+2ψ2 → (1, 1, 0, 2, 0, 0)Vω1+ω2+2ψ1−2ψ2+2ψ3 → (1, 1, 2, -2, 2, 0)Vω1+ω2−2ψ1+2ψ3+2ψ4 → (1, 1, -2, 0, 2, 2)V2ω2 → (0, 2, 0, 0, 0, 0)
Module label W1W2W3W4W5W6W7W8W9W10W11W12W13W14W15W16W17W18W19W20W21W22W23W24W25W26W27W28W29W30W31W32W33W34W35W36W37
Module elements (weight vectors). In blue - corresp. F element. In red -corresp. H element.
g−5
g−10
g−15
g9
g3
g4
Cartan of centralizer component.
h4
−h6+h1
h3
h5
g−4
g−3
g−9
g15
g10
g5
g28
−g−22
g25
g−26
g20
−g−29
g31
−g−17
g17
g−31
g29
g−20
g26
−g−25
g22
g−28
g6
−g−18
g21
−g−1
g16
−g−7
g11
−g−12
g12
g−11
g7
g−16
g1
g−21
g18
g−6
Semisimple subalgebra component.
−g36
h6+2h5+3h4+2h3+2h2+h1
2g−36
g32
−g−14
g13
−g−33
g30
g−19
g8
g−34
g27
−g−23
−g2
−g−35
g35
−g−2
−g23
−g−27
g34
−g−8
−g19
g−30
g33
g−13
−g14
−g−32
Semisimple subalgebra component.
−g24
h6+h5+h4+h3+h1
2g−24
Weights of elements in fundamental coords w.r.t. Cartan of subalgebra in same order as above0000000000000ω1
−ω1		ω1
−ω1		ω1
−ω1		ω1
−ω1		ω1
−ω1		ω1
−ω1		ω1
−ω1		ω1
−ω1		ω2
−ω2		ω2
−ω2		ω2
−ω2		ω2
−ω2		ω2
−ω2		ω2
−ω2		ω2
−ω2		ω2
−ω2		2ω1
0
−2ω1		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		ω1+ω2
−ω1+ω2
ω1−ω2
−ω1−ω2		2ω2
0
−2ω2
Weights of elements in (fundamental coords w.r.t. Cartan of subalgebra) + Cartan centralizer2ψ2−4ψ3−2ψ42ψ1−2ψ2−2ψ3−2ψ4−2ψ1−2ψ32ψ1+2ψ2−2ψ3−2ψ44ψ1−2ψ2−2ψ4−2ψ1+4ψ2−2ψ302ψ1−4ψ2+2ψ3−4ψ1+2ψ2+2ψ4−2ψ1−2ψ2+2ψ3+2ψ42ψ1+2ψ3−2ψ1+2ψ2+2ψ3+2ψ4−2ψ2+4ψ3+2ψ4ω1+2ψ2−2ψ3−4ψ4
−ω1+2ψ2−2ψ3−4ψ4		ω1+2ψ1−2ψ2−4ψ4
−ω1+2ψ1−2ψ2−4ψ4		ω1−2ψ1−2ψ4
−ω1−2ψ1−2ψ4		ω1+2ψ3−2ψ4
−ω1+2ψ3−2ψ4		ω1−2ψ3+2ψ4
−ω1−2ψ3+2ψ4		ω1+2ψ1+2ψ4
−ω1+2ψ1+2ψ4		ω1−2ψ1+2ψ2+4ψ4
−ω1−2ψ1+2ψ2+4ψ4		ω1−2ψ2+2ψ3+4ψ4
−ω1−2ψ2+2ψ3+4ψ4		ω2−2ψ3−4ψ4
−ω2−2ψ3−4ψ4		ω2+2ψ1−4ψ4
−ω2+2ψ1−4ψ4		ω2−2ψ1+2ψ2−2ψ4
−ω2−2ψ1+2ψ2−2ψ4		ω2−2ψ2+2ψ3−2ψ4
−ω2−2ψ2+2ψ3−2ψ4		ω2+2ψ2−2ψ3+2ψ4
−ω2+2ψ2−2ψ3+2ψ4		ω2+2ψ1−2ψ2+2ψ4
−ω2+2ψ1−2ψ2+2ψ4		ω2−2ψ1+4ψ4
−ω2−2ψ1+4ψ4		ω2+2ψ3+4ψ4
−ω2+2ψ3+4ψ4		2ω1
0
−2ω1		ω1+ω2+2ψ1−2ψ3−2ψ4
−ω1+ω2+2ψ1−2ψ3−2ψ4
ω1−ω2+2ψ1−2ψ3−2ψ4
−ω1−ω2+2ψ1−2ψ3−2ψ4		ω1+ω2−2ψ1+2ψ2−2ψ3
−ω1+ω2−2ψ1+2ψ2−2ψ3
ω1−ω2−2ψ1+2ψ2−2ψ3
−ω1−ω2−2ψ1+2ψ2−2ψ3		ω1+ω2−2ψ2
−ω1+ω2−2ψ2
ω1−ω2−2ψ2
−ω1−ω2−2ψ2		ω1+ω2+2ψ2
−ω1+ω2+2ψ2
ω1−ω2+2ψ2
−ω1−ω2+2ψ2		ω1+ω2+2ψ1−2ψ2+2ψ3
−ω1+ω2+2ψ1−2ψ2+2ψ3
ω1−ω2+2ψ1−2ψ2+2ψ3
−ω1−ω2+2ψ1−2ψ2+2ψ3		ω1+ω2−2ψ1+2ψ3+2ψ4
−ω1+ω2−2ψ1+2ψ3+2ψ4
ω1−ω2−2ψ1+2ψ3+2ψ4
−ω1−ω2−2ψ1+2ψ3+2ψ4		2ω2
0
−2ω2
Single module character over Cartan of s.a.+ Cartan of centralizer of s.a.M2ψ2−4ψ3−2ψ4M2ψ1−2ψ2−2ψ3−2ψ4M−2ψ1−2ψ3M2ψ1+2ψ2−2ψ3−2ψ4M4ψ1−2ψ2−2ψ4M−2ψ1+4ψ2−2ψ3M0M2ψ1−4ψ2+2ψ3M−4ψ1+2ψ2+2ψ4M−2ψ1−2ψ2+2ψ3+2ψ4M2ψ1+2ψ3M−2ψ1+2ψ2+2ψ3+2ψ4M−2ψ2+4ψ3+2ψ4Mω1+2ψ2−2ψ3−4ψ4⊕M−ω1+2ψ2−2ψ3−4ψ4Mω1+2ψ1−2ψ2−4ψ4⊕M−ω1+2ψ1−2ψ2−4ψ4Mω1−2ψ1−2ψ4⊕M−ω1−2ψ1−2ψ4Mω1+2ψ3−2ψ4⊕M−ω1+2ψ3−2ψ4Mω1−2ψ3+2ψ4⊕M−ω1−2ψ3+2ψ4Mω1+2ψ1+2ψ4⊕M−ω1+2ψ1+2ψ4Mω1−2ψ1+2ψ2+4ψ4⊕M−ω1−2ψ1+2ψ2+4ψ4Mω1−2ψ2+2ψ3+4ψ4⊕M−ω1−2ψ2+2ψ3+4ψ4Mω2−2ψ3−4ψ4⊕M−ω2−2ψ3−4ψ4Mω2+2ψ1−4ψ4⊕M−ω2+2ψ1−4ψ4Mω2−2ψ1+2ψ2−2ψ4⊕M−ω2−2ψ1+2ψ2−2ψ4Mω2−2ψ2+2ψ3−2ψ4⊕M−ω2−2ψ2+2ψ3−2ψ4Mω2+2ψ2−2ψ3+2ψ4⊕M−ω2+2ψ2−2ψ3+2ψ4Mω2+2ψ1−2ψ2+2ψ4⊕M−ω2+2ψ1−2ψ2+2ψ4Mω2−2ψ1+4ψ4⊕M−ω2−2ψ1+4ψ4Mω2+2ψ3+4ψ4⊕M−ω2+2ψ3+4ψ4M2ω1⊕M0⊕M−2ω1Mω1+ω2+2ψ1−2ψ3−2ψ4⊕M−ω1+ω2+2ψ1−2ψ3−2ψ4⊕Mω1−ω2+2ψ1−2ψ3−2ψ4⊕M−ω1−ω2+2ψ1−2ψ3−2ψ4Mω1+ω2−2ψ1+2ψ2−2ψ3⊕M−ω1+ω2−2ψ1+2ψ2−2ψ3⊕Mω1−ω2−2ψ1+2ψ2−2ψ3⊕M−ω1−ω2−2ψ1+2ψ2−2ψ3Mω1+ω2−2ψ2⊕M−ω1+ω2−2ψ2⊕Mω1−ω2−2ψ2⊕M−ω1−ω2−2ψ2Mω1+ω2+2ψ2⊕M−ω1+ω2+2ψ2⊕Mω1−ω2+2ψ2⊕M−ω1−ω2+2ψ2Mω1+ω2+2ψ1−2ψ2+2ψ3⊕M−ω1+ω2+2ψ1−2ψ2+2ψ3⊕Mω1−ω2+2ψ1−2ψ2+2ψ3⊕M−ω1−ω2+2ψ1−2ψ2+2ψ3Mω1+ω2−2ψ1+2ψ3+2ψ4⊕M−ω1+ω2−2ψ1+2ψ3+2ψ4⊕Mω1−ω2−2ψ1+2ψ3+2ψ4⊕M−ω1−ω2−2ψ1+2ψ3+2ψ4M2ω2⊕M0⊕M−2ω2
Isotypic characterM2ψ2−4ψ3−2ψ4M2ψ1−2ψ2−2ψ3−2ψ4M−2ψ1−2ψ3M2ψ1+2ψ2−2ψ3−2ψ4M4ψ1−2ψ2−2ψ4M−2ψ1+4ψ2−2ψ34M0M2ψ1−4ψ2+2ψ3M−4ψ1+2ψ2+2ψ4M−2ψ1−2ψ2+2ψ3+2ψ4M2ψ1+2ψ3M−2ψ1+2ψ2+2ψ3+2ψ4M−2ψ2+4ψ3+2ψ4Mω1+2ψ2−2ψ3−4ψ4⊕M−ω1+2ψ2−2ψ3−4ψ4Mω1+2ψ1−2ψ2−4ψ4⊕M−ω1+2ψ1−2ψ2−4ψ4Mω1−2ψ1−2ψ4⊕M−ω1−2ψ1−2ψ4Mω1+2ψ3−2ψ4⊕M−ω1+2ψ3−2ψ4Mω1−2ψ3+2ψ4⊕M−ω1−2ψ3+2ψ4Mω1+2ψ1+2ψ4⊕M−ω1+2ψ1+2ψ4Mω1−2ψ1+2ψ2+4ψ4⊕M−ω1−2ψ1+2ψ2+4ψ4Mω1−2ψ2+2ψ3+4ψ4⊕M−ω1−2ψ2+2ψ3+4ψ4Mω2−2ψ3−4ψ4⊕M−ω2−2ψ3−4ψ4Mω2+2ψ1−4ψ4⊕M−ω2+2ψ1−4ψ4Mω2−2ψ1+2ψ2−2ψ4⊕M−ω2−2ψ1+2ψ2−2ψ4Mω2−2ψ2+2ψ3−2ψ4⊕M−ω2−2ψ2+2ψ3−2ψ4Mω2+2ψ2−2ψ3+2ψ4⊕M−ω2+2ψ2−2ψ3+2ψ4Mω2+2ψ1−2ψ2+2ψ4⊕M−ω2+2ψ1−2ψ2+2ψ4Mω2−2ψ1+4ψ4⊕M−ω2−2ψ1+4ψ4Mω2+2ψ3+4ψ4⊕M−ω2+2ψ3+4ψ4M2ω1⊕M0⊕M−2ω1Mω1+ω2+2ψ1−2ψ3−2ψ4⊕M−ω1+ω2+2ψ1−2ψ3−2ψ4⊕Mω1−ω2+2ψ1−2ψ3−2ψ4⊕M−ω1−ω2+2ψ1−2ψ3−2ψ4Mω1+ω2−2ψ1+2ψ2−2ψ3⊕M−ω1+ω2−2ψ1+2ψ2−2ψ3⊕Mω1−ω2−2ψ1+2ψ2−2ψ3⊕M−ω1−ω2−2ψ1+2ψ2−2ψ3Mω1+ω2−2ψ2⊕M−ω1+ω2−2ψ2⊕Mω1−ω2−2ψ2⊕M−ω1−ω2−2ψ2Mω1+ω2+2ψ2⊕M−ω1+ω2+2ψ2⊕Mω1−ω2+2ψ2⊕M−ω1−ω2+2ψ2Mω1+ω2+2ψ1−2ψ2+2ψ3⊕M−ω1+ω2+2ψ1−2ψ2+2ψ3⊕Mω1−ω2+2ψ1−2ψ2+2ψ3⊕M−ω1−ω2+2ψ1−2ψ2+2ψ3Mω1+ω2−2ψ1+2ψ3+2ψ4⊕M−ω1+ω2−2ψ1+2ψ3+2ψ4⊕Mω1−ω2−2ψ1+2ψ3+2ψ4⊕M−ω1−ω2−2ψ1+2ψ3+2ψ4M2ω2⊕M0⊕M−2ω2

Semisimple subalgebra: W_{30}+W_{37}
Centralizer extension: W_{1}+W_{2}+W_{3}+W_{4}+W_{5}+W_{6}+W_{7}+W_{8}+W_{9}+W_{10}+W_{11}+W_{12}+W_{13}

Weight diagram. The coordinates corresponding to the simple roots of the subalgerba are fundamental.
The bilinear form is therefore given relative to the fundamental coordinates.
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Mouse position: (0.00, 0.00)
Selected index: -1
Coordinate center in screen coordinates:
(200.00, 300.00)
The projection plane (drawn on the screen) is spanned by the following two vectors.
(1.00, 0.00, 0.00, 0.00, 0.00, 0.00)
(0.00, 1.00, 0.00, 0.00, 0.00, 0.00)
0: (1.00, 0.00, 0.00, 0.00, 0.00, 0.00): (250.00, 300.00)
1: (0.00, 1.00, 0.00, 0.00, 0.00, 0.00): (200.00, 350.00)
2: (0.00, 0.00, 1.00, 0.00, 0.00, 0.00): (200.00, 300.00)
3: (0.00, 0.00, 0.00, 1.00, 0.00, 0.00): (200.00, 300.00)
4: (0.00, 0.00, 0.00, 0.00, 1.00, 0.00): (200.00, 300.00)
5: (0.00, 0.00, 0.00, 0.00, 0.00, 1.00): (200.00, 300.00)



Made total 373 arithmetic operations while solving the Serre relations polynomial system.