281 solutions
1 1 2 {2}
2 2 6 {2, 3}
3 3 30 {2, 3, 5}
4 3 42 {2, 3, 7}
5 4 858 {2, 3, 11, 13}
6 4 870 {2, 3, 5, -29}
7 4 930 {2, 3, 5, -31}
8 4 1722 {2, 3, 7, 41}
9 4 1806 {2, 3, 7, 43}
10 5 8970 {2, 3, 5, -13, 23}
11 5 47058 {2, 3, 11, 23, 31}
12 5 66198 {2, 3, 11, 17, 59}
13 5 107970 {2, 3, 5, -59, -61}
14 5 117030 {2, 3, 5, -47, -83}
15 5 483294 {2, 3, 7, 37, -311}
16 5 735306 {2, 3, 11, 13, -857}
17 5 737022 {2, 3, 11, 13, -859}
18 5 863970 {2, 3, 5, -31, -929}
19 5 2963562 {2, 3, 7, 41, -1721}
20 5 2967006 {2, 3, 7, 41, -1723}
21 6 2816070 {2, 3, 5, -37, -43, 59}
22 6 4081530 {2, 3, 5, -17, 53, 151}
23 6 80451930 {2, 3, 5, -13, 23, 8969}
24 6 80469870 {2, 3, 5, -13, 23, 8971}
25 6 243151566 {2, 3, 7, 41, -337, 419}
26 6 415361166 {2, 3, 11, 19, 43, -7703}
27 6 2214408306 {2, 3, 11, 23, 31, 47057}
28 6 2214502422 {2, 3, 11, 23, 31, 47059}
29 6 2797503270 {2, 3, 5, -29, 727, -4423}
30 6 4130763330 {2, 3, 5, -31, -797, 5573}
31 6 5431513530 {2, 3, 5, -29, 1013, 6163}
32 6 7348189470 {2, 3, 5, -31, -1063, -7433}
33 6 11657628870 {2, 3, 5, -59, -61, 107971}
34 6 17445613614 {2, 3, 11, 13, -829, 24527}
35 6 24423128562 {2, 3, 7, 43, 3041, 4447}
36 6 32094500046 {2, 3, 7, 43, 1559, -11399}
37 6 45395833530 {2, 3, 5, -29, 883, 59093}
38 6 50772852870 {2, 3, 5, -29, 859, -67939}
39 6 109654573314 {2, 3, 11, 13, -863, -148091}
40 6 540675648942 {2, 3, 11, 13, -857, 735307}
41 6 548189687598 {2, 3, 7, 43, 1787, -169859}
42 7 342317118 {2, 3, 11, 13, 37, -41, -263}
43 7 530032854 {2, 3, 13, 19, 31, 83, -139}
44 7 746668770 {2, 3, 5, -43, -53, 67, -163}
45 7 812102370 {2, 3, 5, -19, 29, -73, -673}
46 7 27713989770 {2, 3, 5, -31, -41, 43, 16903}
47 7 52495396602 {2, 3, 11, 17, 101, 149, 3109}
48 7 54694220574 {2, 3, 7, 29, -43, 79, -13219}
49 7 224743026774 {2, 3, 7, 43, -331, 397, 947}
50 7 267451329630 {2, 3, 5, -19, 67, 227, -30851}
51 7 290353530630 {2, 3, 5, -19, 41, -197, -63067}
52 7 417609843294 {2, 3, 7, 41, -103, 109, -21601}
53 7 822169268886 {2, 3, 7, 59, 83, -191, 20929}
54 7 932628716970 {2, 3, 5, -29, 587, -937, 1949}
55 7 1451800943754 {2, 3, 7, 47, 233, -643, -4909}
56 7 4827929149758 {2, 3, 11, 13, -953, -2111, 2797}
57 7 4979445716406 {2, 3, 7, 61, 167, 673, -17293}
58 7 156461208616830 {2, 3, 5, -13, 23, 8929, -1953491}
59 7 160355252836770 {2, 3, 5, -29, 773, -9629, -24763}
60 7 432749205173838 {2, 3, 7, 59, 163, 1381, 775807}
61 7 493027578451122 {2, 3, 11, 13, -421, 827, 1650427}
62 7 515248127834154 {2, 3, 11, 13, -683, 3307, -265873}
63 7 1163872069170954 {2, 3, 11, 13, -863, -34693, 45307}
64 7 3928092845249622 {2, 3, 7, 43, 3221, 4013, -168269}
65 7 6472512960272970 {2, 3, 5, -13, 23, 8969, -80451929}
66 7 6475399897347030 {2, 3, 5, -13, 23, 8971, 80469869}
67 7 6733905638158770 {2, 3, 5, -29, 887, 73483, 118751}
68 7 14571470556045030 {2, 3, 5, -47, -83, -106391, 1170311}
69 7 14737133470010574 {2, 3, 7, 71, 103, 67213, 713863}
70 7 20982851859518970 {2, 3, 5, -47, -83, -127669, -1404371}
71 7 38845636886159970 {2, 3, 5, -31, -1229, -3821, 8894681}
72 7 109158429968431230 {2, 3, 5, -29, 881, 67453, -2111353}
73 7 164278838680425042 {2, 3, 7, 43, 1361, -5521, 12105647}
74 7 550843391309130318 {2, 3, 7, 71, 103, 61559, 29133437}
75 7 623092774456419582 {2, 3, 7, 41, -2243, -7411, 21767747}
76 7 687321486928233030 {2, 3, 5, -59, -61, 107773, -59067263}
77 7 724130960284187742 {2, 3, 11, 13, -859, -527941, 1861021}
78 7 731350715851101918 {2, 3, 11, 13, -863, -144941, 6814537}
79 7 1156428616273461030 {2, 3, 5, -31, -929, 617693, -2166943}
80 7 1590246032183395158 {2, 3, 11, 13, -857, 1470611, 1470613}
81 7 1797323158509982818 {2, 3, 11, 13, -859, -1108171, -2200589}
82 7 2151449210344406658 {2, 3, 7, 37, -311, -511723, -8699309}
83 7 2579621446770228030 {2, 3, 5, -31, -929, 1727939, 1727941}
84 7 3736050063046280970 {2, 3, 5, -31, -929, 1110247, 3894883}
85 7 4548037992826588170 {2, 3, 5, -31, -929, 1042259, 5050679}
86 7 7191069611636274078 {2, 3, 11, 13, -853, 146057, -67272071}
87 7 16303069355662417062 {2, 3, 7, 41, -1759, -81967, -65664607}
88 7 53995888479670691430 {2, 3, 5, -31, -1063, -7433, 7348189469}
89 7 82684985432446034526 {2, 3, 7, 47, 389, -26479, -4066570679}
90 7 99964321552864850370 {2, 3, 5, -31, -929, 858467, -134779163}
91 7 394779515020011367818 {2, 3, 11, 13, -857, 734567, -730895159}
92 7 3470585130513923802666 {2, 3, 11, 13, -859, -736937, 6389868019}
93 7 12024125448565746369282 {2, 3, 11, 13, -863, -148091, -109654573313}
94 7 17357729647782130229766 {2, 3, 11, 13, -859, -737039, -31953762227}
95 7 15427214958090226072966674 {2, 3, 7, 41, -1721, 2963567, 1756542909131}
96 8 3000402930 {2, 3, 5, -7, 17, 29, 73, 397}
97 8 69384816930 {2, 3, 5, 11, -13, -19, 181, -4703}
98 8 29018536872270 {2, 3, 5, -11, 19, 179, -1433, 18043}
99 8 111793467487758 {2, 3, 7, 19, -23, 73, 1031, -80929}
100 8 356363413801122 {2, 3, 7, 13, -23, -131, -499, 434111}
101 8 6720078222963930 {2, 3, 5, -11, 23, 71, 56957, -218941}
102 8 65214681071998038 {2, 3, 7, 43, 547, -569, 2153, 53887}
103 8 81796719505594470 {2, 3, 5, -13, 23, 4909, -11633, -159683}
104 8 104624428436614086 {2, 3, 7, 11, -13, 101, -12919, -13350499}
105 8 7213718651702509870 {2, 5, 7, 11, 19, 73, -10369, -651411077}
106 8 768065228943950663130 {2, 3, 5, -31, -41, 43, 16903, 27713989769}
107 8 4774140386323809380070 {2, 3, 5, -37, -43, 59, 2803019, -604819379}
108 8 149335075274528360096070 {2, 3, 5, -37, -43, 59, 2815649, -18833882849}
109 8 219144449995267725931470 {2, 3, 5, -13, 23, 9011, 1968613, -1377224357}
110 8 57503092849823119455206418 {2, 3, 7, 41, -337, 419, 486303131, 486303133}
111 8 102001503987181881286529754 {2, 3, 11, 13, -257, 367, 1326649, -950088510023}
112 8 244197000982499715087866346 {2, 3, 11, 23, 31, 47137, 28282147, 3892535183}
113 8 469668279439921007721222222 {2, 3, 11, 17, 59, -66337, -31303189, 3416661473}
114 8 1705477285633797576880226130 {2, 3, 5, -13, 23, 8971, 80494471, 263297411369}
115 8 16646057331774687452133040242 {2, 3, 7, 43, 3041, 4447, -811736719, 839643439}
116 8 20232832885899713079831042270 {2, 3, 5, -47, -83, -117659, -21884173, 67143534187}
117 8 24480109801839354702967865730 {2, 3, 5, -13, 23, 8929, -1953491, -156461208616831}
118 8 25713807112344272777011196130 {2, 3, 5, -29, 773, -9629, -24763, 160355252836769}
119 8 72628040870901145608120110958 {2, 3, 11, 19, 43, -7703, 414952147, -421386311179}
120 8 554079914617070801288578559178 {2, 3, 11, 23, 31, 47059, 2259696349, 110725121051}
121 8 574395629447073893572254424530 {2, 3, 5, -13, 23, 8971, 80469943, 88704189755033}
122 8 791146219600420700293729907130 {2, 3, 5, -13, 23, 8971, 80469817, -122177277602147}
123 8 3470552728999634396433304126158 {2, 3, 7, 43, 1559, -11399, 8849752511, -12219034943}
124 8 5312447534374842686433362989554 {2, 3, 11, 19, 43, -7703, 415366769, 30791937442351}
125 8 8490421583559688410706771261086 {2, 3, 11, 23, 31, 47059, 2217342227, 1729101023519}
126 8 14821519946355134309842766066802 {2, 3, 11, 23, 31, 47057, -2212788353, 3024789551489}
127 8 19576797615658993376712460387182 {2, 3, 7, 43, 1559, -11399, 16959960013, -35965509109}
128 8 31333878623339876279262001088082 {2, 3, 11, 13, -829, 24527, 22257416879, 80696211697}
129 8 262083026576597188003612679138478 {2, 3, 7, 43, 3041, 4447, -25956534389, -413419438771}
130 8 1910667181420507984555759916338506 {2, 3, 7, 43, 1831, 138683, 2861051, 1456230512169437}
131 8 4270452786613245055999423423960302 {2, 3, 7, 43, 1559, -11399, 31849818493, -4177691323909}
132 8 13650428133793060095792895655163330 {2, 3, 5, -31, -797, 5573, -4130742001, 799996135938001}
133 8 22198905761773856619939575930300730 {2, 3, 5, -29, 727, -4423, 2797506029, 2836546670522731}
134 8 96985677748859234233366304047746318 {2, 3, 7, 43, 3041, 4447, -24426798241, -162569759861279}
135 8 295449948916486928664472041524289006 {2, 3, 11, 13, -857, 735311, 105915755923, -5159221531367}
136 8 524365647642099884226016352418870822 {2, 3, 11, 13, -859, -527941, 1861021, -724130960284187741}
137 8 534873869575919218990067930674380642 {2, 3, 11, 13, -863, -144941, 6814537, -731350715851101919}
138 8 1051093961788085517796436214017430270 {2, 3, 5, -31, -797, 5573, -4130763607, -61600024666765817}
139 8 1440483333437218088430605720771998312398 {2, 3, 7, 43, 3041, 4447, -24423128809, -2414936092261105031}
140 8 1637616133512301012763138482118913383982 {2, 3, 11, 13, -857, 735307, 540623475281, -5602481074326641}
141 8 144579592802846411336302648205579199366826242 {2, 3, 11, 13, -863, -148091, -109654573313, 12024125448565746369281}
142 9 84917397085842846 {2, 3, 7, 29, -31, 47, 1493, -4561, -7027}
143 9 9002417739352181970 {2, 3, 5, -7, 17, 29, 73, 397, -3000402929}
144 9 9002417745352987830 {2, 3, 5, -7, 17, 29, 73, 397, -3000402931}
145 9 476494999554098800805533302 {2, 3, 13, 19, 31, 83, -139, -424026283, 2120131411}
146 9 2142359378661038266316109630 {2, 3, 5, -19, 29, -73, -673, 1624204739, 1624204741}
147 9 5039357328833670753319627170 {2, 3, 5, -43, -53, 67, -163, 693466327, -9732441223}
148 9 7894655794962446314752213942 {2, 3, 13, 19, 31, 83, -139, -520395893, 28621774061}
149 9 16246111544217518989600252830 {2, 3, 5, -43, -53, 67, -163, 766849007, 28373413297}
150 9 47798871474278442022081092906 {2, 3, 13, 19, 31, 83, -139, -531694399, -169610512961}
151 9 97827229476999961257828952830 {2, 3, 5, -43, -53, 67, -163, 749873357, 174720491947}
152 9 98788375011417834770506807170 {2, 3, 5, -43, -53, 67, -163, 743548667, -177937897763}
153 9 237800879297026960349244829578 {2, 3, 13, 19, 31, 83, -139, -530365163, -845932433389}
154 9 469067608124178425023629592830 {2, 3, 5, -43, -53, 67, -163, 747332587, 840608034317}
155 9 35344250618973748203563359942134 {2, 3, 13, 19, 31, 83, -139, -530030621, 125809960929701}
156 9 388790330514374427264799936796202 {2, 3, 13, 19, 31, 83, -139, -530033057, -1383915930620959}
157 9 549255477169920224605860071648106 {2, 3, 11, 13, 37, -41, -263, -342317093, 4687240028715919}
158 9 1434988368356152472315622343282134 {2, 3, 13, 19, 31, 83, -139, -530032799, 5107905403046879}
159 9 4252954627322419101560792403851406 {2, 3, 7, 43, 547, -569, 2153, 53887, 65214681071998037}
160 9 4424161789363065830452175449688322 {2, 3, 7, 29, -43, 79, -13219, -56881989397, -1422049734899}
161 9 976389444734340565457853903684638526 {2, 3, 7, 29, -43, 79, -13219, -54685058429, 326447207266181}
162 9 28431933225751614396479169620840899494 {2, 3, 7, 29, -43, 79, -13219, -54694535323, -9504319248507847}
163 9 711636077129682515973046196475437429442 {2, 3, 7, 29, -43, 79, -13219, -54694233149, -237889340117470267}
164 9 748908294035437302821865963578452220970 {2, 3, 5, -29, 587, -937, 1949, 931620701521, -861947324740081}
165 9 900446486898950487075441150821099947638 {2, 3, 7, 47, 233, -643, -4909, 1456768437023, 425755542518689}
166 9 1432567296382805715488139887417493501570 {2, 3, 5, -17, 53, 151, -4081579, -340439587331, -252594434503381}
167 9 2456442697523719828547135600314568004642 {2, 3, 7, 29, -43, 79, -13219, -54694224217, -821152336933409399}
168 9 1137028279368426901002077429111923717648170 {2, 3, 5, -37, -43, 59, 2816057, -610014850337, 235042269255959359}
169 9 22792416428328051873615699388274993903824830 {2, 3, 5, -37, -43, 59, 2803019, -604819379, 4774140386323809380069}
170 9 22792416428328051873625247669047641522584970 {2, 3, 5, -37, -43, 59, 2803019, -604819379, 4774140386323809380071}
171 9 37681916361893863859017745208172751702607606 {2, 3, 7, 47, 233, -643, -4909, 1451801061649, 17877994414055535311}
172 9 92308029036326560304932809917262865938788778 {2, 3, 7, 47, 233, -643, -4909, 1451800895627, -43795081979225404691}
173 9 294719766492836472957634982079574793611218570 {2, 3, 5, -29, 587, -937, 1949, 932628714403, -338837678739014588827}
174 9 760472283792008711882534306958511507774901922 {2, 3, 11, 13, -953, -2111, 2797, -4827929864189, -32625828560498151931}
175 9 3017391695347017281761300752529652235707746518 {2, 3, 11, 13, -683, 3307, -265873, 540999139972703, 10824770402462689}
176 9 22300964707249051564512912472462204571269348830 {2, 3, 5, -37, -43, 59, 2815649, -18833882849, 149335075274528360096069}
177 9 57196000763104427829312186353142269796484756638 {2, 3, 11, 13, -953, -2111, 2797, -4827929140259, 2453826700623487293179}
178 9 57661712033310188342361012970044569858567717418 {2, 3, 11, 13, -863, -34693, 45307, 1133679270550859, -43701071073089363}
179 9 61582439838327664792350252864654392806409546922 {2, 3, 11, 13, -683, 3307, -265873, 514108702518289, -232479955278770737}
180 9 1520773871109702385134452453905878956348550584970 {2, 3, 5, -13, 23, 8971, 80469869, -8438978634327341, -27829676678244139}
181 9 4306268463510651041352954488861970788364380681898 {2, 3, 11, 13, -863, -34693, 45307, 1163446272701659, -3180164041802717443}
182 9 12802747459038625702252317412261234851147900557682 {2, 3, 7, 71, 103, 67213, 713863, -29383576887898007, -29565518540454649}
183 9 19165326537141648397023854020869873933723945848370 {2, 3, 5, -29, 887, 73483, 118751, 6629905827444943, -429281168162333167}
184 9 19938101675061910572597388060807690911459173739606 {2, 3, 11, 13, -863, -34693, 45307, 1163964115371899, 14717666883482815261}
185 9 99710903763787240687565046965229965149514025678606 {2, 3, 7, 71, 103, 67213, 713863, -14292213044766409, 473402072082801241}
186 9 249192550035542435746608083701893130566188536295970 {2, 3, 5, -31, -1229, -3821, 8894681, 32463774194207129, -197603120777356169}
187 9 501863880262470549865661948268024761515563705104982 {2, 3, 11, 13, -863, -34693, 45307, 1163875725436859, 370487946997947411037}
188 9 936541260787194401167655224139698787929913271702102 {2, 3, 11, 13, -863, -34693, 45307, 1163874028446557, 691378217371917161659}
189 9 2257475368586508719129910746753653142736736347785874 {2, 3, 7, 71, 103, 67213, 713863, -14758087287778379, -10379583545688128269}
190 9 3000948479735053876121619409440287169416166954523170 {2, 3, 5, -47, -83, -127669, -1404371, 21047847746757239, 6794951034561480899}
191 9 5714485983848109247000009810182617049718111326357030 {2, 3, 5, -47, -83, -106391, 1170311, -14563589825619911, 26928077587571213591}
192 9 42658164956616692570535922809163376825046066368556342 {2, 3, 11, 13, -863, -34693, 45307, 1163872112185847, 31491377729571719578009}
193 9 49343120339883655070719426486734740512201893533670198 {2, 3, 11, 13, -863, -34693, 45307, 1163872106358233, 36426387547137108067639}
194 9 113056724123816747861803922028583977744548908797943770 {2, 3, 5, -29, 887, 73483, 118751, 6733923825702643, 2493223270468517214007}
195 9 3094593329379450726565709274519343192047234793624793970 {2, 3, 5, -13, 23, 8969, -80451929, 6472513527410263, 73868229454812178119427}
196 9 7909985897966673812695497243373290818669343158270100570 {2, 3, 5, -29, 887, 73483, 118751, 6733905898110331, 174438217334327735413711}
197 9 32827185199403413095516252267140854372839000978500129898 {2, 3, 11, 13, -683, 3307, -265873, 515248127832007, -123651901833020244166031191}
198 9 52416240684427230812114900682491208047905784172699803970 {2, 3, 5, -47, -83, -106391, 1170311, -14571469695947677, 246864777448982570235287}
199 9 546756565834367749847081461829583084936318066709080840570 {2, 3, 5, -47, -83, -127669, -1404371, 20982851504979953, -1241838115434496804647377}
200 9 3399870792494840101580396606719099563966481328494042218402 {2, 3, 11, 13, -853, 146057, -67272071, -8218365270441456089, -57528556893090192631}
201 9 4645408267224570857898685784830771070540522830358590964886 {2, 3, 11, 13, -863, -34693, 45307, 1163872069171349, 3429362514928449776871391891}
202 9 39371031631005675127796693808407624509128270704766160559430 {2, 3, 5, -47, -83, -127669, -1404371, 20982851864442553, 89422697304347161375536023}
203 9 329930339127900221815703340565165839160231643080589211296370 {2, 3, 5, -13, 23, 8971, 80469943, 88704189755033, -574395629447073893572254424529}
204 9 4727518566161583105163737224745558405090553024770923002430022 {2, 3, 7, 41, -1759, -81967, -65664607, -16288153464211673771, 17802951736383359430611}
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