9-max push/fold at 9 bb

At 9 big blinds with a 1 bb big-blind ante, the equilibrium open-shoves 15.4% of hands from UTG, widening to 76.1% from the small blind. Below: every seat's shoving range, every seat's calling range against every shove, and each hand's EV against folding. Solved, not remembered, and the assumptions are printed at the bottom so you can argue with them.

Open-shove ranges, folded to you

One chart per seat. Each assumes everyone in front has folded and everyone behind defends with their equilibrium calling range. Mixed hands show their shove frequency.

UTG

shoves 15.4% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

33+, A7s+, A5s, K9s+, Q9s+, J9s+, T9s, ATo+, KQo

UTG+1

shoves 18.3% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJo60%QJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s33%97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A3s+, K9s+, Q9s+, J9s+, T9s, A9o+, KJo+

UTG+2

shoves 20.7% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJo34%JJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K9s+, Q9s+, J9s+, T8s+, 98s, A8o+, KJo+

LJ

shoves 25.2% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4o34%K4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K9s+, Q9s+, J9s+, T8s+, 98s, A5o+, KTo+, QJo

HJ

shoves 30.5% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8s59%J7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K7s+, Q9s+, J8s+, T8s+, 98s, 87s, A2o+, KTo+, QTo+, JTo

CO

shoves 34.2% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s77%64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K4s+, Q8s+, J8s+, T7s+, 97s+, 86s+, 76s, 65s, A2o+, K9o+, QTo+, JTo

BTN

shoves 45.2% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8o62%J8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3o78%Q3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K2s+, Q4s+, J7s+, T7s+, 96s+, 86s+, 76s, 65s, A2o+, K3o+, Q8o+, J9o+, T9o

SB

shoves 76.1% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o64%65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 73s+, 63s+, 52s+, 43s, A2o+, K2o+, Q2o+, J2o+, T6o+, 96o+, 86o+, 75o+, 65o

always (≥80%) mixed, % shown never (≤20%)

Calling a shove

Pick who shoved and who is deciding. The caller is the first player to act after the shove with everyone between them folded; under this model, once someone calls, everyone behind folds.

ShoverCaller

BB calls 42.4% against a BTN shove of 45.2%

always (≥80%) mixed, % shown never (≤20%)

Call vs fold, closest hands

BB facing BTN: the hands nearest indifference

Hand	Call freq	Call vs fold (bb)
Q8o	100%	+0.002
T7s	100%	+0.008
T9o	0%	−0.010
97s	100%	+0.011
Q4s	0%	−0.044
J7s	100%	+0.060
K4o	100%	+0.062
K3o	0%	−0.065
76s	0%	−0.066
Q5s	100%	+0.077

22+, A2s+, K2s+, Q5s+, J7s+, T7s+, 97s+, 87s, A2o+, K4o+, Q8o+, J9o+

Every calling range at 9 bb

Spot	Calls	Range
UTG+1 vs UTG	10.0%	55+, A9s+, KQs, ATo+
UTG+2 vs UTG	10.0%	55+, A9s+, KQs, ATo+
LJ vs UTG	10.0%	55+, A9s+, KQs, ATo+
HJ vs UTG	10.0%	55+, A9s+, KQs, ATo+
CO vs UTG	10.0%	55+, A9s+, KQs, ATo+
BTN vs UTG	10.0%	55+, A9s+, KQs, ATo+
SB vs UTG	11.9%	44+, A8s+, KJs+, ATo+, KQo
BB vs UTG	16.9%	33+, A4s+, K9s+, QTs+, JTs, A9o+, KJo+
UTG+2 vs UTG+1	11.6%	44+, A8s+, KJs+, ATo+, KQo
LJ vs UTG+1	11.6%	44+, A8s+, KJs+, ATo+, KQo
HJ vs UTG+1	11.6%	44+, A8s+, KJs+, ATo+, KQo
CO vs UTG+1	11.6%	44+, A8s+, KJs+, ATo+, KQo
BTN vs UTG+1	11.6%	44+, A8s+, KJs+, ATo+, KQo
SB vs UTG+1	13.9%	33+, A7s+, A5s, KJs+, A9o+, KQo
BB vs UTG+1	19.1%	22+, A2s+, K9s+, QTs+, JTs, A8o+, KJo+
LJ vs UTG+2	13.6%	33+, A7s+, KJs+, A9o+, KQo
HJ vs UTG+2	13.6%	33+, A7s+, KJs+, A9o+, KQo
CO vs UTG+2	13.6%	33+, A7s+, KJs+, A9o+, KQo
BTN vs UTG+2	13.6%	33+, A7s+, KJs+, A9o+, KQo
SB vs UTG+2	16.0%	33+, A4s+, KTs+, QJs, A8o+, KQo
BB vs UTG+2	22.8%	22+, A2s+, K9s+, Q9s+, JTs, A7o+, A5o, KTo+, QJo
HJ vs LJ	16.4%	33+, A4s+, KTs+, QJs, A7o+, KQo
CO vs LJ	16.4%	33+, A4s+, KTs+, QJs, A7o+, KQo
BTN vs LJ	16.4%	33+, A4s+, KTs+, QJs, A7o+, KQo
SB vs LJ	19.2%	22+, A2s+, KTs+, QTs+, A7o+, KJo+
BB vs LJ	26.4%	22+, A2s+, K8s+, Q9s+, J9s+, T9s, A3o+, KTo+, QJo
CO vs HJ	21.0%	22+, A2s+, KTs+, QTs+, A5o+, KJo+
BTN vs HJ	21.0%	22+, A2s+, KTs+, QTs+, A5o+, KJo+
SB vs HJ	25.2%	22+, A2s+, K9s+, QTs+, JTs, A3o+, KTo+, QJo
BB vs HJ	31.2%	22+, A2s+, K5s+, Q8s+, J9s+, T9s, 98s, A2o+, K9o+, QTo+, JTo
BTN vs CO	25.2%	22+, A2s+, K9s+, QTs+, JTs, A3o+, KTo+, QJo
SB vs CO	27.8%	22+, A2s+, K7s+, Q9s+, JTs, A2o+, K9o+, QJo
BB vs CO	33.9%	22+, A2s+, K3s+, Q8s+, J8s+, T8s+, 98s, 87s, A2o+, K8o+, QTo+, JTo
SB vs BTN	35.0%	22+, A2s+, K3s+, Q8s+, J9s+, T9s, A2o+, K6o+, Q9o+, JTo
BB vs BTN	42.4%	22+, A2s+, K2s+, Q5s+, J7s+, T7s+, 97s+, 87s, A2o+, K4o+, Q8o+, J9o+
BB vs SB	61.3%	22+, A2s+, K2s+, Q2s+, J2s+, T4s+, 96s+, 86s+, 76s, A2o+, K2o+, Q2o+, J5o+, T7o+, 98o

All 169 hands at 9 bb: shove EV by seat

Hand	UTG	UTG+1	UTG+2	LJ	HJ	CO	BTN	SB
AA	+5.341	+5.460	+5.531	+5.567	+5.715	+5.488	+5.346	+5.122
KK	+4.357	+4.473	+4.548	+4.573	+4.700	+4.592	+4.581	+4.668
QQ	+3.710	+3.823	+3.943	+4.031	+4.194	+4.116	+4.076	+4.238
JJ	+3.077	+3.210	+3.385	+3.533	+3.730	+3.696	+3.692	+3.864
TT	+2.494	+2.680	+2.912	+3.096	+3.302	+3.296	+3.347	+3.558
99	+1.911	+2.150	+2.374	+2.606	+2.843	+2.860	+2.921	+3.215
88	+1.519	+1.761	+1.981	+2.216	+2.502	+2.539	+2.580	+2.909
77	+1.136	+1.402	+1.635	+1.852	+2.176	+2.247	+2.285	+2.612
66	+0.764	+1.067	+1.321	+1.542	+1.860	+1.980	+2.013	+2.339
55	+0.394	+0.738	+1.020	+1.251	+1.548	+1.730	+1.781	+2.098
44	+0.134	+0.363	+0.672	+0.912	+1.220	+1.429	+1.514	+1.850
33	+0.027	+0.122	+0.339	+0.590	+0.904	+1.120	+1.253	+1.609
22	−0.055	+0.010	+0.128	+0.362	+0.600	+0.834	+1.003	+1.370
AKs	+2.584	+2.719	+2.885	+3.101	+3.335	+3.367	+3.368	+3.336
AQs	+1.955	+2.155	+2.392	+2.666	+2.945	+3.020	+3.056	+3.182
AJs	+1.316	+1.563	+1.857	+2.214	+2.586	+2.739	+2.832	+3.014
ATs	+0.739	+1.040	+1.394	+1.797	+2.212	+2.435	+2.630	+2.872
A9s	+0.257	+0.572	+0.844	+1.275	+1.706	+1.983	+2.263	+2.611
A8s	+0.125	+0.388	+0.566	+0.934	+1.385	+1.704	+2.035	+2.494
A7s	+0.041	+0.265	+0.408	+0.668	+1.103	+1.444	+1.830	+2.355
A6s	−0.060	+0.164	+0.284	+0.487	+0.852	+1.216	+1.636	+2.210
A5s	+0.002	+0.229	+0.350	+0.524	+0.825	+1.188	+1.603	+2.186
A4s	−0.086	+0.124	+0.248	+0.417	+0.701	+1.067	+1.499	+2.094
A3s	−0.132	+0.044	+0.155	+0.325	+0.615	+0.985	+1.421	+2.029
A2s	−0.187	−0.015	+0.071	+0.243	+0.520	+0.896	+1.347	+1.965
KQs	+0.613	+0.742	+0.835	+0.942	+1.164	+1.487	+2.030	+2.674
KJs	+0.388	+0.411	+0.514	+0.655	+0.860	+1.247	+1.821	+2.517
KTs	+0.249	+0.249	+0.345	+0.455	+0.616	+0.986	+1.630	+2.376
K9s	+0.050	+0.048	+0.061	+0.152	+0.274	+0.602	+1.275	+2.123
K8s	−0.107	−0.127	−0.079	−0.053	+0.058	+0.359	+0.959	+1.903
K7s	−0.151	−0.149	−0.109	−0.079	+0.009	+0.284	+0.800	+1.781
K6s	−0.211	−0.201	−0.141	−0.102	−0.050	+0.228	+0.666	+1.657
K5s	−0.297	−0.280	−0.216	−0.173	−0.136	+0.150	+0.565	+1.548
K4s	−0.385	−0.390	−0.317	−0.272	−0.206	+0.062	+0.476	+1.449
K3s	−0.432	−0.466	−0.411	−0.355	−0.293	−0.023	+0.404	+1.380
K2s	−0.485	−0.523	−0.488	−0.427	−0.376	−0.091	+0.334	+1.314
QJs	+0.329	+0.323	+0.403	+0.479	+0.577	+0.793	+1.164	+2.075
QTs	+0.230	+0.250	+0.313	+0.366	+0.452	+0.625	+0.996	+1.946
Q9s	+0.037	+0.051	+0.050	+0.115	+0.166	+0.344	+0.654	+1.691
Q8s	−0.126	−0.133	−0.096	−0.091	−0.031	+0.166	+0.398	+1.473
Q7s	−0.315	−0.298	−0.273	−0.263	−0.221	−0.008	+0.204	+1.245
Q6s	−0.353	−0.327	−0.280	−0.259	−0.249	−0.026	+0.165	+1.141
Q5s	−0.438	−0.405	−0.355	−0.331	−0.330	−0.098	+0.113	+1.033
Q4s	−0.522	−0.512	−0.453	−0.428	−0.398	−0.184	+0.039	+0.934
Q3s	−0.573	−0.592	−0.550	−0.515	−0.490	−0.273	−0.031	+0.861
Q2s	−0.618	−0.642	−0.620	−0.579	−0.569	−0.337	−0.094	+0.801
JTs	+0.236	+0.280	+0.357	+0.412	+0.440	+0.589	+0.790	+1.569
J9s	+0.044	+0.081	+0.098	+0.168	+0.194	+0.339	+0.484	+1.314
J8s	−0.114	−0.097	−0.042	−0.034	0.000	+0.169	+0.279	+1.100
J7s	−0.316	−0.277	−0.233	−0.217	−0.195	−0.011	+0.110	+0.880
J6s	−0.502	−0.456	−0.392	−0.368	−0.381	−0.174	−0.057	+0.674
J5s	−0.561	−0.508	−0.439	−0.411	−0.435	−0.218	−0.079	+0.599
J4s	−0.634	−0.606	−0.529	−0.503	−0.498	−0.303	−0.152	+0.519
J3s	−0.691	−0.686	−0.626	−0.583	−0.584	−0.387	−0.215	+0.454
J2s	−0.740	−0.741	−0.701	−0.656	−0.670	−0.456	−0.286	+0.389
T9s	+0.067	+0.126	+0.154	+0.224	+0.270	+0.399	+0.485	+1.101
T8s	−0.095	−0.054	+0.013	+0.026	+0.084	+0.231	+0.311	+0.890
T7s	−0.295	−0.234	−0.177	−0.156	−0.115	+0.054	+0.141	+0.674
T6s	−0.486	−0.418	−0.341	−0.310	−0.302	−0.114	−0.028	+0.495
T5s	−0.699	−0.628	−0.550	−0.518	−0.525	−0.314	−0.196	+0.318
T4s	−0.752	−0.702	−0.613	−0.580	−0.556	−0.369	−0.238	+0.281
T3s	−0.802	−0.778	−0.709	−0.664	−0.647	−0.457	−0.304	+0.216
T2s	−0.857	−0.838	−0.787	−0.737	−0.731	−0.524	−0.374	+0.152
98s	−0.049	−0.001	+0.031	+0.063	+0.134	+0.278	+0.333	+0.789
97s	−0.228	−0.161	−0.143	−0.103	−0.049	+0.119	+0.182	+0.609
96s	−0.416	−0.339	−0.306	−0.259	−0.240	−0.053	+0.018	+0.451
95s	−0.631	−0.551	−0.516	−0.470	−0.466	−0.260	−0.156	+0.280
94s	−0.835	−0.782	−0.740	−0.697	−0.668	−0.472	−0.348	+0.115
93s	−0.850	−0.822	−0.801	−0.742	−0.717	−0.522	−0.385	+0.080
92s	−0.897	−0.874	−0.872	−0.809	−0.797	−0.587	−0.452	+0.016
87s	−0.169	−0.110	−0.055	−0.041	+0.034	+0.203	+0.246	+0.628
86s	−0.351	−0.280	−0.210	−0.193	−0.151	+0.037	+0.089	+0.484
85s	−0.561	−0.487	−0.417	−0.399	−0.369	−0.163	−0.081	+0.321
84s	−0.772	−0.722	−0.644	−0.628	−0.574	−0.377	−0.278	+0.153
83s	−0.950	−0.930	−0.875	−0.848	−0.804	−0.595	−0.471	−0.020
82s	−0.962	−0.946	−0.908	−0.880	−0.849	−0.627	−0.507	−0.059
76s	−0.303	−0.217	−0.151	−0.124	−0.084	+0.104	+0.161	+0.522
75s	−0.511	−0.419	−0.351	−0.323	−0.293	−0.086	−0.002	+0.371
74s	−0.723	−0.657	−0.583	−0.559	−0.505	−0.307	−0.203	+0.199
73s	−0.903	−0.867	−0.815	−0.779	−0.735	−0.524	−0.395	+0.028
72s	−1.072	−1.044	−1.013	−0.980	−0.958	−0.724	−0.590	−0.151
65s	−0.446	−0.344	−0.259	−0.219	−0.207	0.000	+0.076	+0.432
64s	−0.646	−0.569	−0.478	−0.442	−0.407	−0.207	−0.114	+0.268
63s	−0.834	−0.789	−0.719	−0.672	−0.645	−0.431	−0.311	+0.095
62s	−1.011	−0.971	−0.924	−0.877	−0.872	−0.635	−0.509	−0.086
54s	−0.579	−0.493	−0.397	−0.355	−0.321	−0.118	−0.012	+0.355
53s	−0.754	−0.701	−0.622	−0.568	−0.544	−0.330	−0.199	+0.185
52s	−0.929	−0.883	−0.830	−0.777	−0.772	−0.533	−0.397	+0.005
43s	−0.873	−0.824	−0.736	−0.679	−0.630	−0.425	−0.282	+0.114
42s	−1.039	−0.999	−0.939	−0.881	−0.854	−0.626	−0.477	−0.060
32s	−1.104	−1.112	−1.052	−0.983	−0.956	−0.723	−0.557	−0.131
AKo	+2.352	+2.491	+2.661	+2.885	+3.122	+3.175	+3.192	+3.170
AQo	+1.687	+1.890	+2.138	+2.425	+2.710	+2.804	+2.851	+3.007
AJo	+0.995	+1.251	+1.559	+1.935	+2.320	+2.499	+2.606	+2.824
ATo	+0.379	+0.690	+1.062	+1.487	+1.918	+2.172	+2.388	+2.667
A9o	−0.140	+0.187	+0.475	+0.929	+1.375	+1.687	+2.000	+2.391
A8o	−0.289	−0.017	+0.169	+0.559	+1.028	+1.384	+1.747	+2.259
A7o	−0.386	−0.157	−0.009	+0.265	+0.719	+1.099	+1.523	+2.106
A6o	−0.491	−0.261	−0.137	+0.074	+0.454	+0.857	+1.317	+1.953
A5o	−0.416	−0.185	−0.063	+0.115	+0.425	+0.828	+1.281	+1.926
A4o	−0.512	−0.298	−0.173	−0.001	+0.288	+0.697	+1.168	+1.825
A3o	−0.568	−0.388	−0.275	−0.099	+0.196	+0.608	+1.083	+1.754
A2o	−0.625	−0.450	−0.363	−0.186	+0.097	+0.516	+1.006	+1.686
KQo	+0.228	+0.364	+0.456	+0.561	+0.786	+1.151	+1.755	+2.469
KJo	−0.019	0.000	+0.102	+0.246	+0.453	+0.888	+1.526	+2.295
KTo	−0.161	−0.168	−0.073	+0.037	+0.198	+0.615	+1.325	+2.144
K9o	−0.378	−0.386	−0.374	−0.286	−0.174	+0.195	+0.939	+1.870
K8o	−0.551	−0.576	−0.531	−0.508	−0.403	−0.061	+0.606	+1.635
K7o	−0.590	−0.593	−0.560	−0.535	−0.453	−0.138	+0.435	+1.504
K6o	−0.656	−0.649	−0.596	−0.562	−0.519	−0.203	+0.287	+1.369
K5o	−0.754	−0.741	−0.681	−0.646	−0.616	−0.293	+0.174	+1.248
K4o	−0.842	−0.850	−0.782	−0.744	−0.690	−0.383	+0.081	+1.141
K3o	−0.901	−0.942	−0.891	−0.838	−0.790	−0.478	0.000	+1.066
K2o	−0.949	−0.996	−0.966	−0.908	−0.868	−0.544	−0.068	+0.997
QJo	−0.062	−0.077	0.000	+0.075	+0.166	+0.415	+0.831	+1.835
QTo	−0.177	−0.160	−0.100	−0.051	+0.022	+0.226	+0.643	+1.689
Q9o	−0.399	−0.386	−0.390	−0.328	−0.287	−0.078	+0.277	+1.413
Q8o	−0.568	−0.578	−0.546	−0.546	−0.496	−0.266	0.000	+1.180
Q7o	−0.768	−0.756	−0.739	−0.736	−0.711	−0.465	−0.214	+0.933
Q6o	−0.800	−0.778	−0.738	−0.724	−0.728	−0.474	−0.250	+0.821
Q5o	−0.898	−0.867	−0.822	−0.804	−0.819	−0.554	−0.310	+0.702
Q4o	−0.987	−0.978	−0.924	−0.905	−0.890	−0.644	−0.390	+0.595
Q3o	−1.043	−1.067	−1.029	−0.996	−0.989	−0.739	−0.463	+0.521
Q2o	−1.095	−1.123	−1.108	−1.070	−1.075	−0.811	−0.532	+0.451
JTo	−0.164	−0.126	−0.053	−0.002	+0.014	+0.194	+0.427	+1.288
J9o	−0.384	−0.350	−0.338	−0.270	−0.254	−0.078	+0.097	+1.013
J8o	−0.548	−0.537	−0.487	−0.480	−0.455	−0.256	−0.120	+0.786
J7o	−0.754	−0.721	−0.686	−0.675	−0.667	−0.452	−0.303	+0.546
J6o	−0.956	−0.915	−0.859	−0.842	−0.868	−0.628	−0.483	+0.325
J5o	−1.018	−0.969	−0.906	−0.885	−0.922	−0.673	−0.506	+0.246
J4o	−1.105	−1.080	−1.007	−0.984	−0.991	−0.762	−0.582	+0.162
J3o	−1.162	−1.168	−1.113	−1.075	−1.090	−0.859	−0.659	+0.085
J2o	−1.217	−1.229	−1.197	−1.155	−1.183	−0.937	−0.735	+0.013
T9o	−0.360	−0.301	−0.275	−0.207	−0.170	−0.013	+0.102	+0.783
T8o	−0.518	−0.481	−0.415	−0.406	−0.360	−0.183	−0.081	+0.561
T7o	−0.730	−0.673	−0.621	−0.604	−0.575	−0.377	−0.263	+0.330
T6o	−0.938	−0.873	−0.802	−0.776	−0.781	−0.560	−0.445	+0.139
T5o	−1.166	−1.096	−1.024	−1.000	−1.022	−0.778	−0.628	−0.053
T4o	−1.221	−1.174	−1.090	−1.063	−1.055	−0.835	−0.675	−0.094
T3o	−1.275	−1.257	−1.192	−1.152	−1.150	−0.928	−0.749	−0.167
T2o	−1.330	−1.317	−1.271	−1.226	−1.238	−1.000	−0.822	−0.237
98o	−0.476	−0.428	−0.401	−0.370	−0.311	−0.140	−0.061	+0.453
97o	−0.663	−0.598	−0.587	−0.551	−0.511	−0.315	−0.225	+0.259
96o	−0.860	−0.785	−0.757	−0.713	−0.706	−0.491	−0.397	+0.093
95o	−1.092	−1.013	−0.985	−0.944	−0.952	−0.714	−0.585	−0.094
94o	−1.316	−1.265	−1.230	−1.188	−1.172	−0.945	−0.793	−0.274
93o	−1.329	−1.306	−1.291	−1.235	−1.226	−0.999	−0.833	−0.312
92o	−1.382	−1.363	−1.368	−1.308	−1.313	−1.071	−0.907	−0.381
87o	−0.607	−0.552	−0.502	−0.491	−0.427	−0.227	−0.161	+0.278
86o	−0.795	−0.727	−0.661	−0.646	−0.616	−0.398	−0.323	+0.125
85o	−1.020	−0.947	−0.879	−0.864	−0.850	−0.612	−0.506	−0.051
84o	−1.246	−1.199	−1.124	−1.111	−1.073	−0.843	−0.716	−0.233
83o	−1.439	−1.424	−1.375	−1.350	−1.320	−1.077	−0.923	−0.418
82o	−1.450	−1.442	−1.411	−1.383	−1.367	−1.112	−0.964	−0.459
76o	−0.741	−0.656	−0.596	−0.575	−0.546	−0.330	−0.248	+0.164
75o	−0.970	−0.881	−0.819	−0.796	−0.777	−0.536	−0.425	0.000
74o	−1.194	−1.128	−1.058	−1.035	−0.995	−0.764	−0.635	−0.180
73o	−1.387	−1.356	−1.310	−1.277	−1.247	−1.002	−0.845	−0.368
72o	−1.571	−1.547	−1.525	−1.494	−1.486	−1.218	−1.053	−0.559
65o	−0.894	−0.794	−0.714	−0.679	−0.679	−0.441	−0.341	+0.066
64o	−1.112	−1.036	−0.951	−0.917	−0.896	−0.663	−0.542	−0.108
63o	−1.304	−1.263	−1.197	−1.154	−1.146	−0.900	−0.752	−0.296
62o	−1.497	−1.464	−1.423	−1.379	−1.389	−1.118	−0.964	−0.488
54o	−1.035	−0.948	−0.855	−0.816	−0.793	−0.560	−0.430	−0.014
53o	−1.216	−1.169	−1.094	−1.046	−1.038	−0.792	−0.634	−0.197
52o	−1.407	−1.366	−1.318	−1.268	−1.278	−1.005	−0.842	−0.387
43o	−1.339	−1.293	−1.212	−1.160	−1.128	−0.890	−0.720	−0.271
42o	−1.525	−1.489	−1.435	−1.381	−1.367	−1.104	−0.927	−0.460
32o	−1.587	−1.601	−1.548	−1.481	−1.472	−1.206	−1.011	−0.535

Reading the chart is the easy half. The trainer deals you real hands at 9 bb in a seat you choose and prices every wrong shove or call in big blinds.

Drill 9-max at 9 bb →

// what was solved, and what was assumed

9-max, blinds 0.5 / 1, 1 bb big-blind ante (dead money, posted by the big blind). Every player starts the hand with the same stack, counted before posting, so the big blind has 1 bb less to play with.
The first player in may only shove or fold. Facing a shove, each player behind may only call or fold. No limps, no raises short of all-in.
Assumption: once one player calls, everyone behind folds. Three-way all-ins are left out of the model, because pricing them needs a 169×169×169 equity table. In real play a big blind sometimes overcalls with aces; here it cannot, so shoves into several players are priced slightly too well.
Assumption: players who folded held random cards. Card removal is applied between the shover and each possible caller, not for the hands that folded in front. One consequence: a seat's ranges depend only on the players left behind it, which is why every 6-max chart matches the 9-max chart for the seat with the same players behind it (6-max UTG is 9-max LJ; HJ through BB are the same seats).
Solved by fictitious play (linearly averaged) over a 169×169 all-in equity matrix from our engine, 200,000 sampled runouts per matchup, card removal corrected, 3,000 iterations per seat. Measured, not assumed: no seat, in any spot on these pages, could gain more than 0.033 mbb (thousandths of a big blind) per hand by deviating.
Checked against our heads-up table: the same solver run with two players and no ante reproduces the heads-up charts, with no disagreement bigger than 0.1 percentage points of equity.
EV is the aggressive action minus folding, in big blinds, against everyone else's equilibrium ranges. Chip EV only: no ICM, so near a bubble or a pay jump these ranges are too wide.
Raw data: 9max.json (summary) and one file per depth, e.g. 9max/10.json.