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 |
---|---|---|---|---|---|---|---|---|---|
4569 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ | 0.7016 | 0.8844 | 0.7934 | [M:[0.8508, 0.9971, 1.0029, 0.845, 1.155, 0.693, 0.845, 0.9971], q:[0.6506, 0.4986], qb:[0.3465, 0.6564], phi:[0.462]] | [M:[[42], [-26], [26], [-10], [10], [6], [-10], [-26]], q:[[-29], [-13]], qb:[[3], [23]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$ | ${}M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | t^2.079 + 2*t^2.535 + t^2.552 + t^2.772 + 2*t^2.991 + t^3.465 + t^3.921 + t^4.158 + 2*t^4.377 + t^4.395 + 2*t^4.614 + t^4.631 + t^4.834 + 2*t^4.851 + 4*t^5.07 + t^5.088 + t^5.105 + t^5.29 + 3*t^5.307 + 2*t^5.324 + 3*t^5.527 + 2*t^5.544 + 2*t^5.763 + 2*t^5.983 - t^6. + 2*t^6.237 + 2*t^6.456 + 2*t^6.693 + t^6.71 + 4*t^6.912 + 3*t^6.93 + t^6.947 + 5*t^7.149 + 2*t^7.166 + t^7.184 + 5*t^7.369 + 4*t^7.386 + 2*t^7.403 + 4*t^7.605 + 2*t^7.623 + t^7.64 + t^7.657 + 3*t^7.825 + 6*t^7.842 + 3*t^7.859 + 2*t^7.877 + 5*t^8.062 - t^8.079 + 3*t^8.096 + 2*t^8.281 + 4*t^8.298 + 4*t^8.316 + 2*t^8.518 - 3*t^8.535 - 4*t^8.552 + 4*t^8.755 + t^8.772 + 2*t^8.789 + 2*t^8.974 - 4*t^8.991 - t^4.386/y - t^6.465/y - t^6.921/y - t^6.938/y - t^7.158/y - t^7.377/y + t^7.395/y + (3*t^7.614)/y + t^7.631/y + t^7.834/y + (2*t^7.851)/y + (3*t^8.07)/y + (2*t^8.088)/y + (3*t^8.307)/y + t^8.324/y + (4*t^8.527)/y + (2*t^8.544)/y + (2*t^8.763)/y + t^8.983/y - t^4.386*y - t^6.465*y - t^6.921*y - t^6.938*y - t^7.158*y - t^7.377*y + t^7.395*y + 3*t^7.614*y + t^7.631*y + t^7.834*y + 2*t^7.851*y + 3*t^8.07*y + 2*t^8.088*y + 3*t^8.307*y + t^8.324*y + 4*t^8.527*y + 2*t^8.544*y + 2*t^8.763*y + t^8.983*y | g1^6*t^2.079 + (2*t^2.535)/g1^10 + g1^42*t^2.552 + g1^8*t^2.772 + (2*t^2.991)/g1^26 + g1^10*t^3.465 + t^3.921/g1^6 + g1^12*t^4.158 + (2*t^4.377)/g1^22 + g1^30*t^4.395 + (2*t^4.614)/g1^4 + g1^48*t^4.631 + t^4.834/g1^38 + 2*g1^14*t^4.851 + (4*t^5.07)/g1^20 + g1^32*t^5.088 + g1^84*t^5.105 + t^5.29/g1^54 + (3*t^5.307)/g1^2 + 2*g1^50*t^5.324 + (3*t^5.527)/g1^36 + 2*g1^16*t^5.544 + (2*t^5.763)/g1^18 + (2*t^5.983)/g1^52 - t^6. + 2*g1^18*t^6.237 + (2*t^6.456)/g1^16 + 2*g1^2*t^6.693 + g1^54*t^6.71 + (4*t^6.912)/g1^32 + 3*g1^20*t^6.93 + g1^72*t^6.947 + (5*t^7.149)/g1^14 + 2*g1^38*t^7.166 + g1^90*t^7.184 + (5*t^7.369)/g1^48 + 4*g1^4*t^7.386 + 2*g1^56*t^7.403 + (4*t^7.605)/g1^30 + 2*g1^22*t^7.623 + g1^74*t^7.64 + g1^126*t^7.657 + (3*t^7.825)/g1^64 + (6*t^7.842)/g1^12 + 3*g1^40*t^7.859 + 2*g1^92*t^7.877 + (5*t^8.062)/g1^46 - g1^6*t^8.079 + 3*g1^58*t^8.096 + (2*t^8.281)/g1^80 + (4*t^8.298)/g1^28 + 4*g1^24*t^8.316 + (2*t^8.518)/g1^62 - (3*t^8.535)/g1^10 - 4*g1^42*t^8.552 + (4*t^8.755)/g1^44 + g1^8*t^8.772 + 2*g1^60*t^8.789 + (2*t^8.974)/g1^78 - (4*t^8.991)/g1^26 - (g1^4*t^4.386)/y - (g1^10*t^6.465)/y - t^6.921/(g1^6*y) - (g1^46*t^6.938)/y - (g1^12*t^7.158)/y - t^7.377/(g1^22*y) + (g1^30*t^7.395)/y + (3*t^7.614)/(g1^4*y) + (g1^48*t^7.631)/y + t^7.834/(g1^38*y) + (2*g1^14*t^7.851)/y + (3*t^8.07)/(g1^20*y) + (2*g1^32*t^8.088)/y + (3*t^8.307)/(g1^2*y) + (g1^50*t^8.324)/y + (4*t^8.527)/(g1^36*y) + (2*g1^16*t^8.544)/y + (2*t^8.763)/(g1^18*y) + t^8.983/(g1^52*y) - g1^4*t^4.386*y - g1^10*t^6.465*y - (t^6.921*y)/g1^6 - g1^46*t^6.938*y - g1^12*t^7.158*y - (t^7.377*y)/g1^22 + g1^30*t^7.395*y + (3*t^7.614*y)/g1^4 + g1^48*t^7.631*y + (t^7.834*y)/g1^38 + 2*g1^14*t^7.851*y + (3*t^8.07*y)/g1^20 + 2*g1^32*t^8.088*y + (3*t^8.307*y)/g1^2 + g1^50*t^8.324*y + (4*t^8.527*y)/g1^36 + 2*g1^16*t^8.544*y + (2*t^8.763*y)/g1^18 + (t^8.983*y)/g1^52 |
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 |
---|---|---|---|---|---|---|---|---|
6078 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{6}$ | 0.5977 | 0.7852 | 0.7612 | [M:[1.25, 0.75, 1.25, 0.75, 1.25, 0.75, 0.75, 0.75], q:[0.375, 0.375], qb:[0.375, 0.875], phi:[0.5]] | 5*t^2.25 + t^3. + 7*t^3.75 + 12*t^4.5 + 8*t^5.25 + 19*t^6. - t^4.5/y - t^4.5*y | detail | {a: 153/256, c: 201/256, M1: 5/4, M2: 3/4, M3: 5/4, M4: 3/4, M5: 5/4, M6: 3/4, M7: 3/4, M8: 3/4, q1: 3/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/2} |
6080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}^{2}$ | 0.6865 | 0.8711 | 0.7882 | [M:[1.0, 0.9048, 1.0952, 0.8095, 1.1905, 0.7143, 0.8095, 0.9048], q:[0.5476, 0.4524], qb:[0.3571, 0.7381], phi:[0.4762]] | t^2.143 + 2*t^2.429 + 2*t^2.714 + t^2.857 + t^3. + t^3.571 + t^3.857 + 2*t^4.143 + t^4.286 + t^4.429 + 2*t^4.571 + 2*t^4.714 + 4*t^4.857 + 2*t^5. + 4*t^5.143 + 3*t^5.286 + 3*t^5.429 + 2*t^5.571 + 2*t^5.714 + 2*t^5.857 - t^4.429/y - t^4.429*y | detail | {a: 11303/16464, c: 14341/16464, M1: 1, M2: 19/21, M3: 23/21, M4: 17/21, M5: 25/21, M6: 5/7, M7: 17/21, M8: 19/21, q1: 23/42, q2: 19/42, qb1: 5/14, qb2: 31/42, phi1: 10/21} |
6085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{9}$ | 0.7026 | 0.8862 | 0.7927 | [M:[0.8095, 1.0227, 0.9773, 0.8549, 1.1451, 0.6871, 0.8549, 1.0227, 0.9773], q:[0.6791, 0.5113], qb:[0.3435, 0.6338], phi:[0.4581]] | t^2.061 + t^2.429 + 2*t^2.565 + t^2.748 + t^2.932 + t^3.068 + t^3.435 + t^3.939 + t^4.122 + t^4.306 + 2*t^4.442 + t^4.49 + 2*t^4.626 + 2*t^4.81 + t^4.857 + t^4.946 + 2*t^4.993 + 3*t^5.129 + 2*t^5.177 + 3*t^5.313 + t^5.361 + t^5.449 + 3*t^5.497 + t^5.633 + t^5.68 + t^5.816 + t^5.864 - t^4.374/y - t^4.374*y | detail | |
6083 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}M_{9}$ | 0.6883 | 0.8614 | 0.799 | [M:[0.8381, 1.005, 0.995, 0.8481, 1.1519, 0.6912, 0.8481, 1.005, 1.1519], q:[0.6594, 0.5025], qb:[0.3456, 0.6494], phi:[0.4608]] | t^2.073 + t^2.514 + t^2.544 + t^2.765 + 2*t^3.015 + 2*t^3.456 + t^3.927 + t^4.147 + t^4.367 + 2*t^4.397 + t^4.588 + t^4.618 + 2*t^4.838 + t^4.868 + t^5.028 + 2*t^5.088 + 2*t^5.279 + 2*t^5.309 + t^5.339 + 3*t^5.529 + t^5.559 + 2*t^5.78 + t^5.97 - t^6. - t^4.382/y - t^4.382*y | detail | |
6086 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{9}$ | 0.7152 | 0.908 | 0.7877 | [M:[0.8633, 0.9894, 1.0106, 0.8421, 1.1579, 0.6948, 0.8421, 0.9894, 0.8421], q:[0.642, 0.4947], qb:[0.3474, 0.6632], phi:[0.4632]] | t^2.084 + 3*t^2.526 + t^2.59 + t^2.779 + 2*t^2.968 + t^3.916 + t^4.169 + 2*t^4.358 + t^4.421 + 3*t^4.61 + t^4.674 + t^4.8 + 2*t^4.863 + 7*t^5.052 + 2*t^5.116 + t^5.18 + t^5.242 + 4*t^5.305 + 2*t^5.369 + 5*t^5.494 + t^5.558 + 2*t^5.747 + 2*t^5.936 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
6082 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}M_{9}$ | 0.681 | 0.8446 | 0.8063 | [M:[0.8523, 0.9962, 1.0038, 0.8447, 1.1553, 0.6932, 0.8447, 0.9962, 1.3068], q:[0.6496, 0.4981], qb:[0.3466, 0.6572], phi:[0.4621]] | 2*t^2.534 + t^2.557 + t^2.773 + 2*t^2.989 + t^3.466 + 2*t^3.92 + 2*t^4.375 + t^4.398 + t^4.83 + t^4.852 + 2*t^5.068 + t^5.091 + t^5.114 + t^5.284 + 3*t^5.307 + 2*t^5.33 + 3*t^5.523 + t^5.545 + 2*t^5.761 + 2*t^5.977 - 2*t^6. - t^4.386/y - t^4.386*y | detail | |
6087 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7223 | 0.9242 | 0.7815 | [M:[0.8493, 0.998, 1.002, 0.8454, 1.1546, 0.6928, 0.8454, 0.998, 0.6928], q:[0.6516, 0.499], qb:[0.3464, 0.6556], phi:[0.4618]] | 2*t^2.078 + 2*t^2.536 + t^2.548 + t^2.771 + 2*t^2.994 + t^3.464 + 3*t^4.157 + 2*t^4.38 + t^4.391 + 4*t^4.614 + 2*t^4.626 + t^4.837 + 3*t^4.849 + 6*t^5.072 + t^5.084 + t^5.096 + t^5.295 + 3*t^5.307 + 2*t^5.319 + 3*t^5.53 + 3*t^5.542 + 2*t^5.765 + 2*t^5.988 - 2*t^6. - t^4.386/y - t^4.386*y | detail | |
6084 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6947 | 0.873 | 0.7958 | [M:[0.8631, 0.9895, 1.0105, 0.8421, 1.1579, 0.6947, 0.8421, 0.9895, 1.0737], q:[0.6422, 0.4948], qb:[0.3474, 0.6631], phi:[0.4631]] | t^2.084 + 2*t^2.526 + t^2.589 + 2*t^2.969 + t^3.221 + t^3.474 + t^3.916 + t^4.168 + 2*t^4.358 + t^4.421 + 2*t^4.611 + t^4.673 + t^4.8 + t^4.863 + 4*t^5.053 + t^5.116 + t^5.178 + t^5.242 + 2*t^5.305 + t^5.368 + 3*t^5.495 + t^5.558 + 2*t^5.747 + t^5.81 + 2*t^5.937 - t^6. - t^4.389/y - t^4.389*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2514 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7304 | 0.9151 | 0.7981 | [M:[0.8825, 1.0292, 0.9708, 0.9408, 1.0592, 0.8525, 0.6696, 1.0292], q:[0.6029, 0.5146], qb:[0.4262, 0.5446], phi:[0.4779]] | t^2.009 + t^2.557 + t^2.648 + t^2.822 + t^2.867 + 2*t^3.087 + t^3.178 + t^4.018 + t^4.256 + t^4.346 + 2*t^4.521 + t^4.566 + t^4.611 + t^4.656 + t^4.701 + t^4.786 + t^4.831 + 2*t^4.876 + t^5.051 + 2*t^5.096 + t^5.115 + t^5.186 + t^5.205 + t^5.295 + t^5.38 + t^5.425 + t^5.515 + 2*t^5.645 + t^5.69 + 2*t^5.735 + t^5.91 + 2*t^5.955 - 3*t^6. - t^4.434/y - t^4.434*y | detail |