Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
223	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.6081	0.7817	0.778	[M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]]	[M:[[4, 4], [-12, -12], [-5, 7]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-2	2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^6.057 + t^6.134 + 2*t^6.268 + 3*t^6.402 + 2*t^6.48 + 2*t^6.537 + 2*t^6.595 + 4*t^6.614 + t^6.652 + 3*t^6.671 + t^6.728 + t^6.786 + t^6.805 + t^6.939 - t^6.996 + t^7.208 + t^7.266 + t^7.323 + 4*t^7.342 + t^7.4 + t^7.457 + 4*t^7.476 + t^7.591 + 4*t^7.61 + t^7.667 + t^7.725 + t^7.879 + t^7.937 + t^7.994 + 4*t^8.013 + t^8.052 + 3*t^8.071 + t^8.128 + t^8.147 + t^8.185 - 5*t^8.205 - 4*t^8.262 - t^8.319 + t^8.338 + 3*t^8.472 + t^8.53 + t^8.551 + 4*t^8.606 + t^8.608 + t^8.664 + t^8.665 + 3*t^8.684 + t^8.723 + 3*t^8.742 + t^8.78 + 3*t^8.799 + 5*t^8.818 + 2*t^8.857 + 3*t^8.876 + t^8.914 - 2*t^8.933 - t^4.533/y - t^6.738/y + t^7.333/y + t^7.409/y + (2*t^7.467)/y - t^7.734/y + (2*t^8.138)/y + t^8.195/y + (2*t^8.272)/y + (2*t^8.329)/y + (4*t^8.405)/y + (2*t^8.463)/y + (2*t^8.809)/y + (3*t^8.866)/y + t^8.923/y + t^8.943/y - t^4.533*y - t^6.738*y + t^7.333*y + t^7.409*y + 2*t^7.467*y - t^7.734*y + 2*t^8.138*y + t^8.195*y + 2*t^8.272*y + 2*t^8.329*y + 4*t^8.405*y + 2*t^8.463*y + 2*t^8.809*y + 3*t^8.866*y + t^8.923*y + t^8.943*y	(2*g2^7*t^2.205)/g1^5 + (g1^7*t^2.262)/g2^5 + g1^4*g2^4*t^2.933 + t^3.067/(g1^4*g2^4) + (2*t^3.201)/(g1^12*g2^12) + g1*g2^13*t^3.604 + g1^13*g2*t^3.662 + (g2^5*t^3.738)/g1^7 + (g2^22*t^4.275)/g1^2 + g1^10*g2^10*t^4.333 + (g1^22*t^4.39)/g2^2 + (3*g2^14*t^4.409)/g1^10 + 2*g1^2*g2^2*t^4.467 + (g1^14*t^4.524)/g2^10 + (2*g2^11*t^5.138)/g1 + (g1^11*t^5.195)/g2 + (2*g2^3*t^5.272)/g1^9 + (g1^3*t^5.329)/g2^9 + (3*t^5.405)/(g1^17*g2^5) + t^5.463/(g1^5*g2^17) + (2*g2^20*t^5.809)/g1^4 + 3*g1^8*g2^8*t^5.866 + (g1^20*t^5.923)/g2^4 + (g2^12*t^5.943)/g1^12 - 2*t^6. - (g1^12*t^6.057)/g2^12 + t^6.134/(g1^8*g2^8) + (2*t^6.268)/(g1^16*g2^16) + (3*t^6.402)/(g1^24*g2^24) + (2*g2^29*t^6.48)/g1^7 + 2*g1^5*g2^17*t^6.537 + 2*g1^17*g2^5*t^6.595 + (4*g2^21*t^6.614)/g1^15 + (g1^29*t^6.652)/g2^7 + (3*g2^9*t^6.671)/g1^3 + (g1^9*t^6.728)/g2^3 + (g1^21*t^6.786)/g2^15 + (g2*t^6.805)/g1^11 + t^6.939/(g1^19*g2^7) - t^6.996/(g1^7*g2^19) + g1^2*g2^26*t^7.208 + g1^14*g2^14*t^7.266 + g1^26*g2^2*t^7.323 + (4*g2^18*t^7.342)/g1^6 + g1^6*g2^6*t^7.4 + (g1^18*t^7.457)/g2^6 + (4*g2^10*t^7.476)/g1^14 + (g1^10*t^7.591)/g2^14 + (4*g2^2*t^7.61)/g1^22 + t^7.667/(g1^10*g2^10) + (g1^2*t^7.725)/g2^22 + (g2^35*t^7.879)/g1 + g1^11*g2^23*t^7.937 + g1^23*g2^11*t^7.994 + (4*g2^27*t^8.013)/g1^9 + (g1^35*t^8.052)/g2 + 3*g1^3*g2^15*t^8.071 + g1^15*g2^3*t^8.128 + (g2^19*t^8.147)/g1^17 + (g1^27*t^8.185)/g2^9 - (5*g2^7*t^8.205)/g1^5 - (4*g1^7*t^8.262)/g2^5 - (g1^19*t^8.319)/g2^17 + t^8.338/(g1^13*g2) + (3*t^8.472)/(g1^21*g2^9) + t^8.53/(g1^9*g2^21) + (g2^44*t^8.551)/g1^4 + (4*t^8.606)/(g1^29*g2^17) + g1^8*g2^32*t^8.608 + t^8.664/(g1^17*g2^29) + g1^20*g2^20*t^8.665 + (3*g2^36*t^8.684)/g1^12 + g1^32*g2^8*t^8.723 + 3*g2^24*t^8.742 + (g1^44*t^8.78)/g2^4 + 3*g1^12*g2^12*t^8.799 + (5*g2^28*t^8.818)/g1^20 + 2*g1^24*t^8.857 + (3*g2^16*t^8.876)/g1^8 + (g1^36*t^8.914)/g2^12 - 2*g1^4*g2^4*t^8.933 - t^4.533/(g1^2*g2^2*y) - (g2^5*t^6.738)/(g1^7*y) + (g1^10*g2^10*t^7.333)/y + (g2^14*t^7.409)/(g1^10*y) + (2*g1^2*g2^2*t^7.467)/y - t^7.734/(g1^14*g2^14*y) + (2*g2^11*t^8.138)/(g1*y) + (g1^11*t^8.195)/(g2*y) + (2*g2^3*t^8.272)/(g1^9*y) + (2*g1^3*t^8.329)/(g2^9*y) + (4*t^8.405)/(g1^17*g2^5*y) + (2*t^8.463)/(g1^5*g2^17*y) + (2*g2^20*t^8.809)/(g1^4*y) + (3*g1^8*g2^8*t^8.866)/y + (g1^20*t^8.923)/(g2^4*y) + (g2^12*t^8.943)/(g1^12*y) - (t^4.533*y)/(g1^2*g2^2) - (g2^5*t^6.738*y)/g1^7 + g1^10*g2^10*t^7.333*y + (g2^14*t^7.409*y)/g1^10 + 2*g1^2*g2^2*t^7.467*y - (t^7.734*y)/(g1^14*g2^14) + (2*g2^11*t^8.138*y)/g1 + (g1^11*t^8.195*y)/g2 + (2*g2^3*t^8.272*y)/g1^9 + (2*g1^3*t^8.329*y)/g2^9 + (4*t^8.405*y)/(g1^17*g2^5) + (2*t^8.463*y)/(g1^5*g2^17) + (2*g2^20*t^8.809*y)/g1^4 + 3*g1^8*g2^8*t^8.866*y + (g1^20*t^8.923*y)/g2^4 + (g2^12*t^8.943*y)/g1^12

Deformation

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
356	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$	0.5868	0.7598	0.7723	[M:[0.9236, 1.2293, 0.7707], q:[0.7309, 0.3455], qb:[0.3455, 0.4252], phi:[0.5382]]	t^2.073 + 2*t^2.312 + t^2.771 + 2*t^3.229 + t^3.468 + 3*t^3.688 + 2*t^3.927 + t^4.146 + t^4.166 + 2*t^4.385 + 3*t^4.624 + t^4.844 + 2*t^5.083 + 2*t^5.302 + 5*t^5.541 + t^5.761 + 2*t^5.78 + 3*t^6. - t^4.615/y - t^4.615*y	detail
355	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.608	0.7809	0.7786	[M:[0.9776, 1.0673, 0.7444], q:[0.7444, 0.2781], qb:[0.4663, 0.4663], phi:[0.5112]]	3*t^2.233 + t^2.933 + t^3.067 + 2*t^3.202 + 2*t^3.632 + t^3.767 + 3*t^4.332 + 6*t^4.466 + 3*t^5.166 + 3*t^5.3 + 4*t^5.435 + 6*t^5.865 - 2*t^6. - t^4.534/y - t^4.534*y	detail
1745	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6066	0.7783	0.7794	[M:[0.9857, 1.043, 0.7607], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]]	t^2.196 + 2*t^2.282 + t^2.957 + t^3.043 + 2*t^3.129 + t^3.632 + t^3.718 + t^3.804 + t^4.307 + 2*t^4.393 + 3*t^4.479 + 3*t^4.564 + t^5.153 + 3*t^5.239 + 3*t^5.325 + 3*t^5.411 + t^5.828 + 2*t^5.914 - t^4.521/y - t^4.521*y	detail
357	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6272	0.8162	0.7685	[M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]]	4*t^2.233 + t^2.93 + t^3.07 + 2*t^3.209 + 2*t^3.628 + 3*t^4.325 + 10*t^4.465 + 4*t^5.163 + 4*t^5.302 + 6*t^5.442 + 8*t^5.86 - 5*t^6. - t^4.535/y - t^4.535*y	detail
1750	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6264	0.8156	0.7681	[M:[0.9845, 1.0466, 0.7252, 0.7563], q:[0.7461, 0.2694], qb:[0.4976, 0.4558], phi:[0.5078]]	2*t^2.176 + t^2.269 + t^2.301 + t^2.953 + t^3.047 + 2*t^3.14 + t^3.606 + t^3.699 + t^4.258 + 3*t^4.351 + t^4.383 + 2*t^4.445 + 2*t^4.477 + t^4.509 + t^4.538 + t^4.57 + t^4.602 + 2*t^5.129 + 3*t^5.222 + t^5.254 + 4*t^5.316 + t^5.348 + 2*t^5.409 + t^5.441 + 2*t^5.782 + 2*t^5.875 + t^5.907 + t^5.968 - 2*t^6. - t^4.523/y - t^4.523*y	detail
1748	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6255	0.812	0.7703	[M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]]	t^2.23 + 2*t^2.247 + t^2.32 + t^2.955 + t^3.045 + 2*t^3.135 + t^3.663 + t^3.77 + t^4.371 + t^4.388 + t^4.405 + t^4.461 + 2*t^4.478 + 3*t^4.494 + t^4.551 + 2*t^4.567 + t^4.64 + t^5.186 + 2*t^5.202 + 2*t^5.275 + 2*t^5.292 + 2*t^5.365 + 3*t^5.382 + 2*t^5.455 + t^5.894 + 2*t^5.91 - 2*t^6. - t^4.522/y - t^4.522*y	detail
1747	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.6079	0.7819	0.7775	[M:[0.9811, 1.0568, 0.7263], q:[0.7453, 0.2737], qb:[0.4905, 0.4527], phi:[0.5095]]	2*t^2.179 + t^2.293 + t^2.943 + t^3.057 + 2*t^3.17 + t^3.594 + 2*t^3.707 + t^4.244 + 4*t^4.358 + 3*t^4.472 + t^4.585 + 2*t^5.122 + 3*t^5.236 + 4*t^5.349 + t^5.463 + 2*t^5.773 + 4*t^5.886 - t^6. - t^4.528/y - t^4.528*y	detail

Equivalent Fixed Points from Other Seed Theories

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More 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.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
131	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.5887	0.7456	0.7895	[M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]]	2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y	detail