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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
195 SU2adj1nf2 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ 0.6895 0.8748 0.7882 [X:[], M:[0.692, 0.7027, 0.692, 0.6884], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] [X:[], M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0], [0, -5, 1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_3^2$, $ M_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ $\phi_1^3\tilde{q}_1\tilde{q}_2$ -2 t^2.07 + 2*t^2.08 + t^2.09 + t^2.11 + t^2.87 + 2*t^3.9 + t^3.91 + t^4.13 + 2*t^4.14 + 4*t^4.15 + 2*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.22 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^4.98 + t^5.74 + 2*t^5.97 + 4*t^5.98 + 2*t^5.99 - 2*t^6. + t^6.2 + 2*t^6.21 + 4*t^6.22 + 6*t^6.23 + 5*t^6.24 + 4*t^6.25 + 5*t^6.26 + 2*t^6.27 + 2*t^6.28 + 2*t^6.29 + t^6.3 + t^6.32 + 2*t^6.77 + t^6.78 + t^7. + 2*t^7.01 + 4*t^7.02 + 2*t^7.03 + t^7.04 + t^7.06 + t^7.09 + 3*t^7.81 + 2*t^7.82 - 2*t^7.84 + 2*t^8.03 + 4*t^8.04 + 6*t^8.05 - 4*t^8.08 - 2*t^8.09 - 2*t^8.1 - 3*t^8.11 + t^8.26 + 2*t^8.27 + 4*t^8.28 + 6*t^8.29 + 10*t^8.3 + 8*t^8.31 + 8*t^8.33 + 8*t^8.34 + 6*t^8.35 + 4*t^8.36 + 5*t^8.37 + 2*t^8.38 + 2*t^8.39 + 2*t^8.4 + t^8.41 + t^8.43 + t^8.61 + 2*t^8.84 + 3*t^8.85 + 2*t^8.86 - 3*t^8.87 - 2*t^8.88 - t^8.89 - t^4.04/y - t^6.11/y - (2*t^6.12)/y - t^6.13/y - t^6.15/y + (2*t^7.14)/y + (2*t^7.15)/y + (2*t^7.16)/y + t^7.17/y + (2*t^7.18)/y + t^7.19/y + (2*t^7.94)/y + (2*t^7.95)/y + (2*t^7.96)/y + (2*t^7.97)/y + (2*t^7.98)/y - t^8.17/y - (2*t^8.18)/y - (4*t^8.2)/y - (2*t^8.21)/y - (2*t^8.22)/y - (2*t^8.23)/y - t^8.24/y - t^8.26/y + (2*t^8.97)/y + (5*t^8.98)/y + (4*t^8.99)/y - t^4.04*y - t^6.11*y - 2*t^6.12*y - t^6.13*y - t^6.15*y + 2*t^7.14*y + 2*t^7.15*y + 2*t^7.16*y + t^7.17*y + 2*t^7.18*y + t^7.19*y + 2*t^7.94*y + 2*t^7.95*y + 2*t^7.96*y + 2*t^7.97*y + 2*t^7.98*y - t^8.17*y - 2*t^8.18*y - 4*t^8.2*y - 2*t^8.21*y - 2*t^8.22*y - 2*t^8.23*y - t^8.24*y - t^8.26*y + 2*t^8.97*y + 5*t^8.98*y + 4*t^8.99*y (g3*t^2.07)/g2^5 + t^2.08/(g1*g2^3) + (g1*t^2.08)/(g2^4*g3) + t^2.09/(g2^2*g3^2) + (g2*t^2.11)/g3^5 + g2^3*g3^3*t^2.87 + g1*g3^3*t^3.9 + (g2*g3^4*t^3.9)/g1 + g2^2*g3^2*t^3.91 + (g3^2*t^4.13)/g2^10 + (g1*t^4.14)/g2^9 + (g3*t^4.14)/(g1*g2^8) + t^4.15/(g1^2*g2^6) + (g1^2*t^4.15)/(g2^8*g3^2) + (2*t^4.15)/(g2^7*g3) + (g1*t^4.16)/(g2^6*g3^3) + t^4.16/(g1*g2^5*g3^2) + (2*t^4.17)/(g2^4*g3^4) + (g1*t^4.18)/(g2^3*g3^6) + t^4.18/(g1*g2^2*g3^5) + t^4.19/(g2*g3^7) + (g2^2*t^4.22)/g3^10 + (g3^4*t^4.94)/g2^2 + (g1*g3^2*t^4.95)/g2 + (g3^3*t^4.95)/g1 + 2*g2*g3*t^4.96 + (g2^4*t^4.98)/g3^2 + g2^6*g3^6*t^5.74 + (g1*g3^4*t^5.97)/g2^5 + (g3^5*t^5.97)/(g1*g2^4) + (g1^2*g3^2*t^5.98)/g2^4 + (2*g3^3*t^5.98)/g2^3 + (g3^4*t^5.98)/(g1^2*g2^2) + (g1*g3*t^5.99)/g2^2 + (g3^2*t^5.99)/(g1*g2) - 2*t^6. + (g3^3*t^6.2)/g2^15 + (g1*g3*t^6.21)/g2^14 + (g3^2*t^6.21)/(g1*g2^13) + (2*t^6.22)/g2^12 + (g1^2*t^6.22)/(g2^13*g3) + (g3*t^6.22)/(g1^2*g2^11) + t^6.23/(g1^3*g2^9) + (g1^3*t^6.23)/(g2^12*g3^3) + (2*g1*t^6.23)/(g2^11*g3^2) + (2*t^6.23)/(g1*g2^10*g3) + (g1^2*t^6.24)/(g2^10*g3^4) + (3*t^6.24)/(g2^9*g3^3) + t^6.24/(g1^2*g2^8*g3^2) + (2*g1*t^6.25)/(g2^8*g3^5) + (2*t^6.25)/(g1*g2^7*g3^4) + (g1^2*t^6.26)/(g2^7*g3^7) + (3*t^6.26)/(g2^6*g3^6) + t^6.26/(g1^2*g2^5*g3^5) + (g1*t^6.27)/(g2^5*g3^8) + t^6.27/(g1*g2^4*g3^7) + (2*t^6.28)/(g2^3*g3^9) + (g1*t^6.29)/(g2^2*g3^11) + t^6.29/(g1*g2*g3^10) + t^6.3/g3^12 + (g2^3*t^6.32)/g3^15 + g1*g2^3*g3^6*t^6.77 + (g2^4*g3^7*t^6.77)/g1 + g2^5*g3^5*t^6.78 + (g3^5*t^7.)/g2^7 + (g1*g3^3*t^7.01)/g2^6 + (g3^4*t^7.01)/(g1*g2^5) + (g1^2*g3*t^7.02)/g2^5 + (2*g3^2*t^7.02)/g2^4 + (g3^3*t^7.02)/(g1^2*g2^3) + (g1*t^7.03)/g2^3 + (g3*t^7.03)/(g1*g2^2) + t^7.04/(g2*g3) + (g2^2*t^7.06)/g3^4 + (g2^5*t^7.09)/g3^7 + g1^2*g3^6*t^7.81 + g2*g3^7*t^7.81 + (g2^2*g3^8*t^7.81)/g1^2 + g1*g2^2*g3^5*t^7.82 + (g2^3*g3^6*t^7.82)/g1 - g1*g2^5*g3^2*t^7.84 - (g2^6*g3^3*t^7.84)/g1 + (g1*g3^5*t^8.03)/g2^10 + (g3^6*t^8.03)/(g1*g2^9) + (g1^2*g3^3*t^8.04)/g2^9 + (2*g3^4*t^8.04)/g2^8 + (g3^5*t^8.04)/(g1^2*g2^7) + (g1^3*g3*t^8.05)/g2^8 + (2*g1*g3^2*t^8.05)/g2^7 + (2*g3^3*t^8.05)/(g1*g2^6) + (g3^4*t^8.05)/(g1^3*g2^5) + (g1^2*t^8.07)/g2^6 - (2*g3*t^8.07)/g2^5 + (g3^2*t^8.07)/(g1^2*g2^4) - (2*t^8.08)/(g1*g2^3) - (2*g1*t^8.08)/(g2^4*g3) - (2*t^8.09)/(g2^2*g3^2) - (g1*t^8.1)/(g2*g3^4) - t^8.1/(g1*g3^3) - (3*g2*t^8.11)/g3^5 + (g3^4*t^8.26)/g2^20 + (g1*g3^2*t^8.27)/g2^19 + (g3^3*t^8.27)/(g1*g2^18) + (g1^2*t^8.28)/g2^18 + (2*g3*t^8.28)/g2^17 + (g3^2*t^8.28)/(g1^2*g2^16) + (2*t^8.29)/(g1*g2^15) + (g1^3*t^8.29)/(g2^17*g3^2) + (2*g1*t^8.29)/(g2^16*g3) + (g3*t^8.29)/(g1^3*g2^14) + t^8.3/(g1^4*g2^12) + (g1^4*t^8.3)/(g2^16*g3^4) + (2*g1^2*t^8.3)/(g2^15*g3^3) + (4*t^8.3)/(g2^14*g3^2) + (2*t^8.3)/(g1^2*g2^13*g3) + (g1^3*t^8.31)/(g2^14*g3^5) + (3*g1*t^8.31)/(g2^13*g3^4) + (3*t^8.31)/(g1*g2^12*g3^3) + t^8.31/(g1^3*g2^11*g3^2) + (2*g1^2*t^8.33)/(g2^12*g3^6) + (4*t^8.33)/(g2^11*g3^5) + (2*t^8.33)/(g1^2*g2^10*g3^4) + (g1^3*t^8.34)/(g2^11*g3^8) + (3*g1*t^8.34)/(g2^10*g3^7) + (3*t^8.34)/(g1*g2^9*g3^6) + t^8.34/(g1^3*g2^8*g3^5) + (g1^2*t^8.35)/(g2^9*g3^9) + (4*t^8.35)/(g2^8*g3^8) + t^8.35/(g1^2*g2^7*g3^7) + (2*g1*t^8.36)/(g2^7*g3^10) + (2*t^8.36)/(g1*g2^6*g3^9) + (g1^2*t^8.37)/(g2^6*g3^12) + (3*t^8.37)/(g2^5*g3^11) + t^8.37/(g1^2*g2^4*g3^10) + (g1*t^8.38)/(g2^4*g3^13) + t^8.38/(g1*g2^3*g3^12) + (2*t^8.39)/(g2^2*g3^14) + (g1*t^8.4)/(g2*g3^16) + t^8.4/(g1*g3^15) + (g2*t^8.41)/g3^17 + (g2^4*t^8.43)/g3^20 + g2^9*g3^9*t^8.61 + (g1*g3^7*t^8.84)/g2^2 + (g3^8*t^8.84)/(g1*g2) + (g1^2*g3^5*t^8.85)/g2 + g3^6*t^8.85 + (g2*g3^7*t^8.85)/g1^2 + g1*g2*g3^4*t^8.86 + (g2^2*g3^5*t^8.86)/g1 - 3*g2^3*g3^3*t^8.87 - g1*g2^4*g3*t^8.88 - (g2^5*g3^2*t^8.88)/g1 - g2^6*t^8.89 - t^4.04/(g2*g3*y) - t^6.11/(g2^6*y) - (g1*t^6.12)/(g2^5*g3^2*y) - t^6.12/(g1*g2^4*g3*y) - t^6.13/(g2^3*g3^3*y) - t^6.15/(g3^6*y) + (g1*t^7.14)/(g2^9*y) + (g3*t^7.14)/(g1*g2^8*y) + (2*t^7.15)/(g2^7*g3*y) + (g1*t^7.16)/(g2^6*g3^3*y) + t^7.16/(g1*g2^5*g3^2*y) + t^7.17/(g2^4*g3^4*y) + (g1*t^7.18)/(g2^3*g3^6*y) + t^7.18/(g1*g2^2*g3^5*y) + t^7.19/(g2*g3^7*y) + (2*g3^4*t^7.94)/(g2^2*y) + (g1*g3^2*t^7.95)/(g2*y) + (g3^3*t^7.95)/(g1*y) + (2*g2*g3*t^7.96)/y + (g2^3*t^7.97)/(g1*y) + (g1*g2^2*t^7.97)/(g3*y) + (2*g2^4*t^7.98)/(g3^2*y) - (g3*t^8.17)/(g2^11*y) - t^8.18/(g1*g2^9*y) - (g1*t^8.18)/(g2^10*g3*y) - (g1^2*t^8.2)/(g2^9*g3^3*y) - (2*t^8.2)/(g2^8*g3^2*y) - t^8.2/(g1^2*g2^7*g3*y) - (g1*t^8.21)/(g2^7*g3^4*y) - t^8.21/(g1*g2^6*g3^3*y) - (2*t^8.22)/(g2^5*g3^5*y) - (g1*t^8.23)/(g2^4*g3^7*y) - t^8.23/(g1*g2^3*g3^6*y) - t^8.24/(g2^2*g3^8*y) - (g2*t^8.26)/(g3^11*y) + (g1*g3^4*t^8.97)/(g2^5*y) + (g3^5*t^8.97)/(g1*g2^4*y) + (g1^2*g3^2*t^8.98)/(g2^4*y) + (3*g3^3*t^8.98)/(g2^3*y) + (g3^4*t^8.98)/(g1^2*g2^2*y) + (2*g1*g3*t^8.99)/(g2^2*y) + (2*g3^2*t^8.99)/(g1*g2*y) - (t^4.04*y)/(g2*g3) - (t^6.11*y)/g2^6 - (g1*t^6.12*y)/(g2^5*g3^2) - (t^6.12*y)/(g1*g2^4*g3) - (t^6.13*y)/(g2^3*g3^3) - (t^6.15*y)/g3^6 + (g1*t^7.14*y)/g2^9 + (g3*t^7.14*y)/(g1*g2^8) + (2*t^7.15*y)/(g2^7*g3) + (g1*t^7.16*y)/(g2^6*g3^3) + (t^7.16*y)/(g1*g2^5*g3^2) + (t^7.17*y)/(g2^4*g3^4) + (g1*t^7.18*y)/(g2^3*g3^6) + (t^7.18*y)/(g1*g2^2*g3^5) + (t^7.19*y)/(g2*g3^7) + (2*g3^4*t^7.94*y)/g2^2 + (g1*g3^2*t^7.95*y)/g2 + (g3^3*t^7.95*y)/g1 + 2*g2*g3*t^7.96*y + (g2^3*t^7.97*y)/g1 + (g1*g2^2*t^7.97*y)/g3 + (2*g2^4*t^7.98*y)/g3^2 - (g3*t^8.17*y)/g2^11 - (t^8.18*y)/(g1*g2^9) - (g1*t^8.18*y)/(g2^10*g3) - (g1^2*t^8.2*y)/(g2^9*g3^3) - (2*t^8.2*y)/(g2^8*g3^2) - (t^8.2*y)/(g1^2*g2^7*g3) - (g1*t^8.21*y)/(g2^7*g3^4) - (t^8.21*y)/(g1*g2^6*g3^3) - (2*t^8.22*y)/(g2^5*g3^5) - (g1*t^8.23*y)/(g2^4*g3^7) - (t^8.23*y)/(g1*g2^3*g3^6) - (t^8.24*y)/(g2^2*g3^8) - (g2*t^8.26*y)/g3^11 + (g1*g3^4*t^8.97*y)/g2^5 + (g3^5*t^8.97*y)/(g1*g2^4) + (g1^2*g3^2*t^8.98*y)/g2^4 + (3*g3^3*t^8.98*y)/g2^3 + (g3^4*t^8.98*y)/(g1^2*g2^2) + (2*g1*g3*t^8.99*y)/g2^2 + (2*g3^2*t^8.99*y)/(g1*g2)


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
311 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ 0.6895 0.8747 0.7883 [X:[], M:[0.6954, 0.7011, 0.6897, 0.6897], q:[0.8233, 0.829], qb:[0.4813, 0.4756], phi:[0.3477]] 2*t^2.07 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.9 + 2*t^3.91 + 3*t^4.14 + 4*t^4.16 + 5*t^4.17 + 2*t^4.19 + t^4.21 + 2*t^4.94 + 3*t^4.96 + t^4.97 + t^5.74 + 2*t^5.97 + 4*t^5.98 - t^4.04/y - t^4.04*y detail
310 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ 0.6693 0.8377 0.7989 [X:[], M:[0.6919, 0.7273, 0.6919, 0.6801, 1.2727], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]] t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.06/y - t^4.06*y detail
309 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ 0.5838 0.6909 0.845 [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.7156, 0.8588], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. - t^3.86/y - t^3.86*y detail
308 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ + $ M_2X_1$ 0.5986 0.7318 0.8179 [X:[1.4911], M:[0.8772, 0.5089, 0.8772, 1.0], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] t^2.26 + t^2.6 + 2*t^2.63 + t^3. + t^3.74 + 2*t^4.1 + t^4.47 + t^4.53 + 2*t^4.87 + 2*t^4.9 + t^5.21 + 2*t^5.24 + 3*t^5.26 + t^5.6 - t^6. - t^4.13/y - t^4.13*y detail
1726 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ 0.7102 0.9149 0.7762 [X:[], M:[0.6854, 0.6964, 0.6964, 0.6891, 0.6891], q:[0.8323, 0.8213], qb:[0.4823, 0.4786], phi:[0.3464]] t^2.06 + 2*t^2.07 + t^2.08 + 2*t^2.09 + t^2.88 + t^3.9 + t^3.92 + t^4.11 + 2*t^4.12 + 4*t^4.13 + 4*t^4.15 + 5*t^4.16 + 2*t^4.17 + 3*t^4.18 + t^4.94 + 2*t^4.95 + 2*t^4.96 + 2*t^4.97 + t^5.77 + t^5.96 + 2*t^5.97 + t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y detail


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
119 SU2adj1nf2 $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ 0.6689 0.8346 0.8015 [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*y detail