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 |
|---|---|---|---|---|---|---|---|---|---|
| 55913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6832 | 0.859 | 0.7953 | [M:[1.1731, 1.0135, 0.8269, 0.7994, 0.7473, 0.6924, 1.2006], q:[0.3997, 0.4272], qb:[0.5868, 0.7734], phi:[0.4532]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [4, -28], [-2, 16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$ | ${}$ | -2 | t^2.077 + t^2.242 + t^2.481 + t^2.719 + t^3.04 + t^3.042 + t^3.519 + t^3.602 + t^3.84 + t^4.081 + t^4.155 + 2*t^4.319 + t^4.402 + t^4.484 + t^4.558 + t^4.723 + t^4.797 + t^4.881 + 2*t^4.961 + t^5.118 + t^5.119 + t^5.2 + t^5.282 + t^5.284 + t^5.523 + t^5.597 + t^5.679 + t^5.76 + 2*t^5.761 + t^5.844 - 2*t^6. + t^6.081 + 2*t^6.082 + t^6.084 + t^6.158 + t^6.232 + t^6.321 + t^6.323 + 2*t^6.397 + t^6.56 + 2*t^6.561 + t^6.635 + t^6.642 + 2*t^6.644 + t^6.726 - t^6.798 + t^6.8 + t^6.874 + t^6.882 + t^6.958 + t^6.965 + 2*t^7.039 + t^7.121 + 2*t^7.123 + t^7.195 + t^7.196 + 2*t^7.203 + 2*t^7.361 + 2*t^7.442 + t^7.444 + t^7.524 + t^7.526 + 2*t^7.6 + t^7.674 + t^7.681 + t^7.756 + t^7.765 + t^7.837 + t^7.839 + 2*t^7.921 + t^7.923 + t^8.002 + 3*t^8.003 - 2*t^8.077 + t^8.086 + t^8.158 + t^8.161 + t^8.235 - 2*t^8.242 + t^8.309 + t^8.323 + 2*t^8.324 + t^8.326 + 2*t^8.4 + 2*t^8.474 + t^8.479 - 2*t^8.481 + t^8.482 + t^8.563 + 2*t^8.565 + 2*t^8.639 + t^8.712 - 2*t^8.719 + t^8.721 + t^8.8 + 2*t^8.802 + 3*t^8.803 - t^8.876 + t^8.877 + t^8.884 + 2*t^8.886 + t^8.951 - t^8.958 - t^8.96 + t^8.961 + t^8.968 - t^4.36/y - t^6.437/y - t^6.602/y - t^7.079/y + (2*t^7.319)/y - t^7.4/y + t^7.558/y + t^7.64/y + t^7.723/y + t^7.797/y + t^7.961/y + (2*t^8.118)/y + t^8.119/y + t^8.2/y + (2*t^8.282)/y + t^8.284/y - t^8.514/y + t^8.521/y + t^8.523/y + t^8.597/y + t^8.76/y + (2*t^8.761)/y + t^8.918/y - t^4.36*y - t^6.437*y - t^6.602*y - t^7.079*y + 2*t^7.319*y - t^7.4*y + t^7.558*y + t^7.64*y + t^7.723*y + t^7.797*y + t^7.961*y + 2*t^8.118*y + t^8.119*y + t^8.2*y + 2*t^8.282*y + t^8.284*y - t^8.514*y + t^8.521*y + t^8.523*y + t^8.597*y + t^8.76*y + 2*t^8.761*y + t^8.918*y | (g1^4*t^2.077)/g2^28 + (g2^18*t^2.242)/g1^2 + (g2^7*t^2.481)/g1 + t^2.719/g2^4 + (g2^8*t^3.04)/g1^2 + (g2^15*t^3.042)/g1 + (g1*t^3.519)/g2^7 + (g2^16*t^3.602)/g1^2 + (g2^5*t^3.84)/g1 + g1*g2*t^4.081 + (g1^8*t^4.155)/g2^56 + (2*g1^2*t^4.319)/g2^10 + (g2^13*t^4.402)/g1 + (g2^36*t^4.484)/g1^4 + (g1^3*t^4.558)/g2^21 + (g2^25*t^4.723)/g1^3 + (g1^4*t^4.797)/g2^32 + (g1^2*t^4.881)/g2^2 + (2*g2^14*t^4.961)/g1^2 + (g1^2*t^5.118)/g2^20 + (g1^3*t^5.119)/g2^13 + (g2^3*t^5.2)/g1 + (g2^26*t^5.282)/g1^4 + (g2^33*t^5.284)/g1^3 + (g2^22*t^5.523)/g1^2 + (g1^5*t^5.597)/g2^35 + (g1^2*t^5.679)/g2^12 + (g2^4*t^5.76)/g1^2 + (2*g2^11*t^5.761)/g1 + (g2^34*t^5.844)/g1^4 - 2*t^6. + (g2^16*t^6.081)/g1^4 + (2*g2^23*t^6.082)/g1^3 + (g2^30*t^6.084)/g1^2 + (g1^5*t^6.158)/g2^27 + (g1^12*t^6.232)/g2^84 + (g2^12*t^6.321)/g1^2 + (g2^19*t^6.323)/g1 + (2*g1^6*t^6.397)/g2^38 + (g2*t^6.56)/g1 + 2*g2^8*t^6.561 + (g1^7*t^6.635)/g2^49 + (g2^24*t^6.642)/g1^4 + (2*g2^31*t^6.644)/g1^3 + (g2^54*t^6.726)/g1^6 - t^6.798/g2^10 + (g1*t^6.8)/g2^3 + (g1^8*t^6.874)/g2^60 + (g2^20*t^6.882)/g1^2 + (g1^6*t^6.958)/g2^30 + (g2^43*t^6.965)/g1^5 + (2*g1^2*t^7.039)/g2^14 + (g2^9*t^7.121)/g1 + 2*g2^16*t^7.123 + (g1^6*t^7.195)/g2^48 + (g1^7*t^7.196)/g2^41 + (2*g2^32*t^7.203)/g1^4 + 2*g1*g2^5*t^7.361 + (2*g2^21*t^7.442)/g1^3 + (g2^28*t^7.444)/g1^2 + (g2^44*t^7.524)/g1^6 + (g2^51*t^7.526)/g1^5 + (2*g1^2*t^7.6)/g2^6 + (g1^9*t^7.674)/g2^63 + (g2^10*t^7.681)/g1^2 + (g1^6*t^7.756)/g2^40 + (g2^40*t^7.765)/g1^4 + (g1^2*t^7.837)/g2^24 + (g1^3*t^7.839)/g2^17 + 2*g2^6*t^7.921 + g1*g2^13*t^7.923 + (g2^22*t^8.002)/g1^4 + (3*g2^29*t^8.003)/g1^3 - (2*g1^4*t^8.077)/g2^28 + (g2^52*t^8.086)/g1^6 + t^8.158/g2^12 + g1^2*g2^2*t^8.161 + (g1^9*t^8.235)/g2^55 - (2*g2^18*t^8.242)/g1^2 + (g1^16*t^8.309)/g2^112 + (g2^34*t^8.323)/g1^6 + (2*g2^41*t^8.324)/g1^5 + (g2^48*t^8.326)/g1^4 + (2*g1^3*t^8.4)/g2^9 + (2*g1^10*t^8.474)/g2^66 + t^8.479/g1^2 - (2*g2^7*t^8.481)/g1 + g2^14*t^8.482 + (g2^30*t^8.563)/g1^4 + (2*g2^37*t^8.565)/g1^3 + (2*g1^4*t^8.639)/g2^20 + (g1^11*t^8.712)/g2^77 - (2*t^8.719)/g2^4 + g1*g2^3*t^8.721 + (g2^12*t^8.8)/g1^4 + (2*g2^19*t^8.802)/g1^3 + (3*g2^26*t^8.803)/g1^2 - (g1^4*t^8.876)/g2^38 + (g1^5*t^8.877)/g2^31 + (g2^42*t^8.884)/g1^6 + (2*g2^49*t^8.886)/g1^5 + (g1^12*t^8.951)/g2^88 - (g1*t^8.958)/g2^15 - (g1^2*t^8.96)/g2^8 + (g1^3*t^8.961)/g2 + (g2^72*t^8.968)/g1^8 - t^4.36/(g2^2*y) - (g1^4*t^6.437)/(g2^30*y) - (g2^16*t^6.602)/(g1^2*y) - t^7.079/(g2^6*y) + (2*g1^2*t^7.319)/(g2^10*y) - (g2^6*t^7.4)/(g1^2*y) + (g1^3*t^7.558)/(g2^21*y) + (g2^2*t^7.64)/y + (g2^25*t^7.723)/(g1^3*y) + (g1^4*t^7.797)/(g2^32*y) + (g2^14*t^7.961)/(g1^2*y) + (2*g1^2*t^8.118)/(g2^20*y) + (g1^3*t^8.119)/(g2^13*y) + (g2^3*t^8.2)/(g1*y) + (2*g2^26*t^8.282)/(g1^4*y) + (g2^33*t^8.284)/(g1^3*y) - (g1^8*t^8.514)/(g2^58*y) + (g2^15*t^8.521)/(g1^3*y) + (g2^22*t^8.523)/(g1^2*y) + (g1^5*t^8.597)/(g2^35*y) + (g2^4*t^8.76)/(g1^2*y) + (2*g2^11*t^8.761)/(g1*y) + (g1^3*t^8.918)/(g2^23*y) - (t^4.36*y)/g2^2 - (g1^4*t^6.437*y)/g2^30 - (g2^16*t^6.602*y)/g1^2 - (t^7.079*y)/g2^6 + (2*g1^2*t^7.319*y)/g2^10 - (g2^6*t^7.4*y)/g1^2 + (g1^3*t^7.558*y)/g2^21 + g2^2*t^7.64*y + (g2^25*t^7.723*y)/g1^3 + (g1^4*t^7.797*y)/g2^32 + (g2^14*t^7.961*y)/g1^2 + (2*g1^2*t^8.118*y)/g2^20 + (g1^3*t^8.119*y)/g2^13 + (g2^3*t^8.2*y)/g1 + (2*g2^26*t^8.282*y)/g1^4 + (g2^33*t^8.284*y)/g1^3 - (g1^8*t^8.514*y)/g2^58 + (g2^15*t^8.521*y)/g1^3 + (g2^22*t^8.523*y)/g1^2 + (g1^5*t^8.597*y)/g2^35 + (g2^4*t^8.76*y)/g1^2 + (2*g2^11*t^8.761*y)/g1 + (g1^3*t^8.918*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{6}$ | 0.6758 | 0.8516 | 0.7936 | [M:[1.2, 0.9595, 0.8, 0.8532, 0.6937, 0.8, 1.1468], q:[0.4266, 0.3734], qb:[0.6139, 0.7734], phi:[0.4532]] | t^2.081 + 2*t^2.4 + t^2.719 + t^2.879 + t^2.962 + t^3.44 + t^3.6 + t^3.76 + 2*t^4.162 + t^4.321 + 3*t^4.481 + 4*t^4.8 + t^4.96 + 2*t^5.043 + 2*t^5.119 + t^5.279 + 2*t^5.362 + t^5.521 + t^5.598 + 2*t^5.681 + t^5.757 + 3*t^5.84 + t^5.924 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 57566 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6981 | 0.8849 | 0.7889 | [M:[1.1763, 1.0071, 0.8237, 0.8059, 0.7409, 0.7053, 1.1941, 0.8237], q:[0.4029, 0.4207], qb:[0.59, 0.7734], phi:[0.4532]] | t^2.116 + t^2.223 + 2*t^2.471 + t^2.719 + t^3.021 + t^3.032 + t^3.582 + t^3.831 + t^4.09 + t^4.232 + 2*t^4.339 + t^4.392 + t^4.445 + 2*t^4.587 + 2*t^4.694 + t^4.835 + t^4.9 + 4*t^4.942 + t^5.137 + t^5.148 + 2*t^5.19 + t^5.244 + t^5.255 + t^5.492 + 2*t^5.503 + t^5.698 + t^5.741 + t^5.752 + t^5.805 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 57562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6807 | 0.8599 | 0.7916 | [M:[1.1672, 1.0662, 0.8328, 0.8013, 0.7318, 0.6688, 1.1987], q:[0.4006, 0.4322], qb:[0.5331, 0.7666], phi:[0.4669]] | t^2.006 + t^2.196 + t^2.498 + t^2.801 + t^2.896 + t^3.199 + t^3.502 + t^3.596 + 2*t^3.899 + t^4.013 + 2*t^4.202 + t^4.296 + t^4.391 + t^4.505 + t^4.599 + t^4.694 + t^4.808 + t^4.902 + 2*t^4.997 + t^5.091 + t^5.205 + t^5.3 + 2*t^5.394 + t^5.508 + t^5.603 + 2*t^5.697 + 2*t^5.792 + t^5.905 - t^6. - t^4.401/y - t^4.401*y | detail | |
| 57564 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6644 | 0.8244 | 0.8059 | [M:[1.1686, 1.0097, 0.8314, 0.7863, 0.7648, 0.6746, 1.2137, 1.2352], q:[0.3931, 0.4382], qb:[0.5972, 0.7755], phi:[0.449]] | t^2.024 + t^2.494 + t^2.694 + t^3.029 + t^3.106 + t^3.506 + t^3.641 + t^3.706 + t^3.841 + t^4.047 + t^4.118 + t^4.318 + t^4.453 + t^4.518 + t^4.718 + t^4.93 + t^4.988 + t^5.053 + t^5.13 + t^5.188 + t^5.53 + t^5.6 + t^5.665 + t^5.723 + t^5.729 + t^5.8 - 2*t^6. - t^4.347/y - t^4.347*y | detail | |
| 57560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6476 | 0.8117 | 0.7978 | [M:[1.2087, 0.8022, 0.7913, 0.8239, 0.7696, 0.8348, 1.1761], q:[0.412, 0.3793], qb:[0.7859, 0.7967], phi:[0.4065]] | t^2.309 + t^2.374 + t^2.407 + t^2.439 + t^2.504 + t^3.496 + t^3.528 + t^3.593 + t^3.626 + t^4.617 + t^4.683 + 2*t^4.715 + 3*t^4.748 + 4*t^4.813 + t^4.846 + t^4.878 + t^4.911 + t^4.944 + t^5.009 + t^5.804 + t^5.837 + t^5.87 + 2*t^5.902 + 4*t^5.935 + t^5.967 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 57565 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6878 | 0.8647 | 0.7954 | [M:[1.1688, 0.9732, 0.8312, 0.7746, 0.7884, 0.6753, 1.2254, 0.9167], q:[0.3873, 0.4439], qb:[0.6395, 0.7815], phi:[0.437]] | t^2.026 + t^2.365 + t^2.493 + t^2.622 + t^2.75 + t^2.92 + t^3.507 + t^3.676 + t^3.804 + t^4.052 + t^4.263 + 2*t^4.391 + t^4.52 + t^4.561 + t^4.648 + t^4.73 + t^4.776 + t^4.859 + t^4.946 + 2*t^4.987 + 2*t^5.115 + t^5.148 + t^5.243 + t^5.285 + t^5.372 + t^5.5 + t^5.533 + t^5.541 + t^5.67 + t^5.702 + t^5.839 + t^5.872 - 2*t^6. - t^4.311/y - t^4.311*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48167 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7001 | 0.8886 | 0.7878 | [M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.015 + t^2.288 + t^2.359 + t^2.496 + t^2.704 + t^3.049 + t^3.088 + t^3.504 + t^3.849 + t^4.029 + t^4.095 + 2*t^4.303 + t^4.374 + t^4.44 + t^4.511 + t^4.577 + t^4.648 + 2*t^4.719 + t^4.785 + t^4.856 + t^4.894 + 2*t^4.993 + 2*t^5.064 + t^5.102 + t^5.201 + t^5.338 + t^5.376 + t^5.409 + t^5.447 + t^5.518 + t^5.584 + t^5.754 + 2*t^5.792 + t^5.863 - 2*t^6. - t^4.352/y - t^4.352*y | detail |