Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 211.4 | ||
Root | \(0.671167 - 2.06564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.211 |
Dual form | 350.2.h.d.141.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0.671167 | − | 2.06564i | 0.387498 | − | 1.19260i | −0.547153 | − | 0.837032i | \(-0.684288\pi\) |
0.934652 | − | 0.355565i | \(-0.115712\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −0.284771 | − | 2.21786i | −0.127354 | − | 0.991857i | ||||
\(6\) | −0.671167 | − | 2.06564i | −0.274003 | − | 0.843294i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −1.38935 | − | 1.00942i | −0.463117 | − | 0.336474i | ||||
\(10\) | −1.53401 | − | 1.62690i | −0.485097 | − | 0.514472i | ||||
\(11\) | −4.04230 | + | 2.93690i | −1.21880 | + | 0.885509i | −0.996000 | − | 0.0893559i | \(-0.971519\pi\) |
−0.222798 | + | 0.974865i | \(0.571519\pi\) | |||||||
\(12\) | −1.75714 | − | 1.27664i | −0.507242 | − | 0.368533i | ||||
\(13\) | 4.05333 | + | 2.94492i | 1.12419 | + | 0.816773i | 0.984839 | − | 0.173469i | \(-0.0554978\pi\) |
0.139353 | + | 0.990243i | \(0.455498\pi\) | |||||||
\(14\) | 0.809017 | − | 0.587785i | 0.216219 | − | 0.157092i | ||||
\(15\) | −4.77243 | − | 0.900320i | −1.23224 | − | 0.232462i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −0.205835 | − | 0.633496i | −0.0499224 | − | 0.153645i | 0.922988 | − | 0.384830i | \(-0.125740\pi\) |
−0.972910 | + | 0.231185i | \(0.925740\pi\) | |||||||
\(18\) | −1.71733 | −0.404779 | ||||||||
\(19\) | 1.26984 | + | 3.90816i | 0.291321 | + | 0.896592i | 0.984433 | + | 0.175763i | \(0.0562391\pi\) |
−0.693112 | + | 0.720830i | \(0.743761\pi\) | |||||||
\(20\) | −2.19731 | − | 0.414523i | −0.491333 | − | 0.0926902i | ||||
\(21\) | 0.671167 | − | 2.06564i | 0.146461 | − | 0.450759i | ||||
\(22\) | −1.54402 | + | 4.75200i | −0.329186 | + | 1.01313i | ||||
\(23\) | 1.55928 | − | 1.13288i | 0.325132 | − | 0.236222i | −0.413230 | − | 0.910627i | \(-0.635600\pi\) |
0.738362 | + | 0.674404i | \(0.235600\pi\) | |||||||
\(24\) | −2.17194 | −0.443346 | ||||||||
\(25\) | −4.83781 | + | 1.26317i | −0.967562 | + | 0.252633i | ||||
\(26\) | 5.01019 | 0.982580 | ||||||||
\(27\) | 2.25383 | − | 1.63750i | 0.433749 | − | 0.315137i | ||||
\(28\) | 0.309017 | − | 0.951057i | 0.0583987 | − | 0.179733i | ||||
\(29\) | 2.49503 | − | 7.67890i | 0.463315 | − | 1.42594i | −0.397775 | − | 0.917483i | \(-0.630218\pi\) |
0.861090 | − | 0.508453i | \(-0.169782\pi\) | |||||||
\(30\) | −4.39017 | + | 2.07679i | −0.801532 | + | 0.379168i | ||||
\(31\) | 0.881759 | + | 2.71378i | 0.158369 | + | 0.487409i | 0.998487 | − | 0.0549951i | \(-0.0175143\pi\) |
−0.840118 | + | 0.542404i | \(0.817514\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 3.35352 | + | 10.3211i | 0.583773 | + | 1.79667i | ||||
\(34\) | −0.538884 | − | 0.391522i | −0.0924178 | − | 0.0671455i | ||||
\(35\) | −0.284771 | − | 2.21786i | −0.0481351 | − | 0.374887i | ||||
\(36\) | −1.38935 | + | 1.00942i | −0.231558 | + | 0.168237i | ||||
\(37\) | −7.72186 | − | 5.61026i | −1.26947 | − | 0.922321i | −0.270285 | − | 0.962780i | \(-0.587118\pi\) |
−0.999181 | + | 0.0404593i | \(0.987118\pi\) | |||||||
\(38\) | 3.32448 | + | 2.41537i | 0.539301 | + | 0.391825i | ||||
\(39\) | 8.80360 | − | 6.39619i | 1.40970 | − | 1.02421i | ||||
\(40\) | −2.02131 | + | 0.956190i | −0.319597 | + | 0.151187i | ||||
\(41\) | −0.985264 | − | 0.715836i | −0.153872 | − | 0.111795i | 0.508185 | − | 0.861248i | \(-0.330317\pi\) |
−0.662058 | + | 0.749453i | \(0.730317\pi\) | |||||||
\(42\) | −0.671167 | − | 2.06564i | −0.103563 | − | 0.318735i | ||||
\(43\) | 8.81281 | 1.34394 | 0.671970 | − | 0.740578i | \(-0.265448\pi\) | ||||
0.671970 | + | 0.740578i | \(0.265448\pi\) | |||||||
\(44\) | 1.54402 | + | 4.75200i | 0.232770 | + | 0.716392i | ||||
\(45\) | −1.84311 | + | 3.36884i | −0.274755 | + | 0.502197i | ||||
\(46\) | 0.595591 | − | 1.83304i | 0.0878151 | − | 0.270267i | ||||
\(47\) | −1.69053 | + | 5.20292i | −0.246589 | + | 0.758924i | 0.748782 | + | 0.662817i | \(0.230639\pi\) |
−0.995371 | + | 0.0961072i | \(0.969361\pi\) | |||||||
\(48\) | −1.75714 | + | 1.27664i | −0.253621 | + | 0.184266i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −3.17140 | + | 3.86552i | −0.448504 | + | 0.546667i | ||||
\(51\) | −1.44672 | −0.202582 | ||||||||
\(52\) | 4.05333 | − | 2.94492i | 0.562096 | − | 0.408387i | ||||
\(53\) | −4.01539 | + | 12.3581i | −0.551556 | + | 1.69752i | 0.153312 | + | 0.988178i | \(0.451006\pi\) |
−0.704868 | + | 0.709338i | \(0.748994\pi\) | |||||||
\(54\) | 0.860885 | − | 2.64953i | 0.117152 | − | 0.360556i | ||||
\(55\) | 7.66476 | + | 8.12890i | 1.03352 | + | 1.09610i | ||||
\(56\) | −0.309017 | − | 0.951057i | −0.0412941 | − | 0.127090i | ||||
\(57\) | 8.92511 | 1.18216 | ||||||||
\(58\) | −2.49503 | − | 7.67890i | −0.327613 | − | 1.00829i | ||||
\(59\) | −8.07302 | − | 5.86539i | −1.05102 | − | 0.763609i | −0.0786122 | − | 0.996905i | \(-0.525049\pi\) |
−0.972406 | + | 0.233296i | \(0.925049\pi\) | |||||||
\(60\) | −2.33102 | + | 4.26064i | −0.300933 | + | 0.550046i | ||||
\(61\) | 8.36560 | − | 6.07797i | 1.07111 | − | 0.778204i | 0.0949951 | − | 0.995478i | \(-0.469716\pi\) |
0.976111 | + | 0.217274i | \(0.0697164\pi\) | |||||||
\(62\) | 2.30848 | + | 1.67721i | 0.293177 | + | 0.213005i | ||||
\(63\) | −1.38935 | − | 1.00942i | −0.175042 | − | 0.127175i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 5.37715 | − | 9.82835i | 0.666953 | − | 1.21906i | ||||
\(66\) | 8.77963 | + | 6.37878i | 1.08070 | + | 0.785173i | ||||
\(67\) | 0.633135 | + | 1.94859i | 0.0773497 | + | 0.238058i | 0.982253 | − | 0.187558i | \(-0.0600573\pi\) |
−0.904904 | + | 0.425616i | \(0.860057\pi\) | |||||||
\(68\) | −0.666097 | −0.0807762 | ||||||||
\(69\) | −1.29359 | − | 3.98126i | −0.155730 | − | 0.479287i | ||||
\(70\) | −1.53401 | − | 1.62690i | −0.183349 | − | 0.194452i | ||||
\(71\) | 0.599857 | − | 1.84617i | 0.0711899 | − | 0.219100i | −0.909131 | − | 0.416510i | \(-0.863253\pi\) |
0.980321 | + | 0.197410i | \(0.0632531\pi\) | |||||||
\(72\) | −0.530684 | + | 1.63328i | −0.0625418 | + | 0.192484i | ||||
\(73\) | 0.439142 | − | 0.319055i | 0.0513977 | − | 0.0373426i | −0.561790 | − | 0.827280i | \(-0.689887\pi\) |
0.613187 | + | 0.789937i | \(0.289887\pi\) | |||||||
\(74\) | −9.54474 | −1.10955 | ||||||||
\(75\) | −0.637734 | + | 10.8410i | −0.0736392 | + | 1.25181i | ||||
\(76\) | 4.10928 | 0.471366 | ||||||||
\(77\) | −4.04230 | + | 2.93690i | −0.460662 | + | 0.334691i | ||||
\(78\) | 3.36268 | − | 10.3493i | 0.380748 | − | 1.17182i | ||||
\(79\) | −3.49703 | + | 10.7627i | −0.393446 | + | 1.21090i | 0.536718 | + | 0.843761i | \(0.319664\pi\) |
−0.930165 | + | 0.367142i | \(0.880336\pi\) | |||||||
\(80\) | −1.07324 | + | 1.96167i | −0.119992 | + | 0.219322i | ||||
\(81\) | −3.46185 | − | 10.6545i | −0.384649 | − | 1.18383i | ||||
\(82\) | −1.21785 | −0.134489 | ||||||||
\(83\) | 3.70932 | + | 11.4161i | 0.407151 | + | 1.25308i | 0.919086 | + | 0.394058i | \(0.128929\pi\) |
−0.511934 | + | 0.859025i | \(0.671071\pi\) | |||||||
\(84\) | −1.75714 | − | 1.27664i | −0.191719 | − | 0.139292i | ||||
\(85\) | −1.34639 | + | 0.636916i | −0.146037 | + | 0.0690832i | ||||
\(86\) | 7.12971 | − | 5.18004i | 0.768817 | − | 0.558578i | ||||
\(87\) | −14.1873 | − | 10.3076i | −1.52103 | − | 1.10510i | ||||
\(88\) | 4.04230 | + | 2.93690i | 0.430910 | + | 0.313075i | ||||
\(89\) | −3.67873 | + | 2.67275i | −0.389945 | + | 0.283311i | −0.765433 | − | 0.643516i | \(-0.777475\pi\) |
0.375488 | + | 0.926827i | \(0.377475\pi\) | |||||||
\(90\) | 0.489046 | + | 3.80880i | 0.0515500 | + | 0.401483i | ||||
\(91\) | 4.05333 | + | 2.94492i | 0.424905 | + | 0.308711i | ||||
\(92\) | −0.595591 | − | 1.83304i | −0.0620947 | − | 0.191108i | ||||
\(93\) | 6.19749 | 0.642650 | ||||||||
\(94\) | 1.69053 | + | 5.20292i | 0.174365 | + | 0.536640i | ||||
\(95\) | 8.30613 | − | 3.92925i | 0.852191 | − | 0.403133i | ||||
\(96\) | −0.671167 | + | 2.06564i | −0.0685007 | + | 0.210823i | ||||
\(97\) | 1.07581 | − | 3.31099i | 0.109232 | − | 0.336181i | −0.881469 | − | 0.472243i | \(-0.843445\pi\) |
0.990700 | + | 0.136062i | \(0.0434446\pi\) | |||||||
\(98\) | 0.809017 | − | 0.587785i | 0.0817231 | − | 0.0593753i | ||||
\(99\) | 8.58073 | 0.862396 | ||||||||
\(100\) | −0.293624 | + | 4.99137i | −0.0293624 | + | 0.499137i | ||||
\(101\) | 5.98229 | 0.595260 | 0.297630 | − | 0.954681i | \(-0.403804\pi\) | ||||
0.297630 | + | 0.954681i | \(0.403804\pi\) | |||||||
\(102\) | −1.17042 | + | 0.850363i | −0.115889 | + | 0.0841985i | ||||
\(103\) | −4.79779 | + | 14.7661i | −0.472741 | + | 1.45495i | 0.376240 | + | 0.926522i | \(0.377217\pi\) |
−0.848981 | + | 0.528424i | \(0.822783\pi\) | |||||||
\(104\) | 1.54824 | − | 4.76498i | 0.151817 | − | 0.467245i | ||||
\(105\) | −4.77243 | − | 0.900320i | −0.465741 | − | 0.0878622i | ||||
\(106\) | 4.01539 | + | 12.3581i | 0.390009 | + | 1.20033i | ||||
\(107\) | 3.11928 | 0.301552 | 0.150776 | − | 0.988568i | \(-0.451823\pi\) | ||||
0.150776 | + | 0.988568i | \(0.451823\pi\) | |||||||
\(108\) | −0.860885 | − | 2.64953i | −0.0828387 | − | 0.254951i | ||||
\(109\) | 1.71623 | + | 1.24692i | 0.164385 | + | 0.119433i | 0.666937 | − | 0.745115i | \(-0.267605\pi\) |
−0.502551 | + | 0.864547i | \(0.667605\pi\) | |||||||
\(110\) | 10.9790 | + | 2.07119i | 1.04680 | + | 0.197480i | ||||
\(111\) | −16.7714 | + | 12.1852i | −1.59187 | + | 1.15656i | ||||
\(112\) | −0.809017 | − | 0.587785i | −0.0764449 | − | 0.0555405i | ||||
\(113\) | 4.24990 | + | 3.08773i | 0.399797 | + | 0.290469i | 0.769458 | − | 0.638697i | \(-0.220526\pi\) |
−0.369661 | + | 0.929167i | \(0.620526\pi\) | |||||||
\(114\) | 7.22057 | − | 5.24605i | 0.676268 | − | 0.491338i | ||||
\(115\) | −2.95661 | − | 3.13565i | −0.275705 | − | 0.292401i | ||||
\(116\) | −6.53206 | − | 4.74582i | −0.606487 | − | 0.440638i | ||||
\(117\) | −2.65883 | − | 8.18304i | −0.245809 | − | 0.756523i | ||||
\(118\) | −9.97880 | −0.918623 | ||||||||
\(119\) | −0.205835 | − | 0.633496i | −0.0188689 | − | 0.0580725i | ||||
\(120\) | 0.618506 | + | 4.81706i | 0.0564617 | + | 0.439736i | ||||
\(121\) | 4.31559 | − | 13.2820i | 0.392326 | − | 1.20746i | ||||
\(122\) | 3.19538 | − | 9.83436i | 0.289296 | − | 0.890361i | ||||
\(123\) | −2.13994 | + | 1.55475i | −0.192951 | + | 0.140187i | ||||
\(124\) | 2.85343 | 0.256246 | ||||||||
\(125\) | 4.17919 | + | 10.3699i | 0.373798 | + | 0.927510i | ||||
\(126\) | −1.71733 | −0.152992 | ||||||||
\(127\) | −18.0002 | + | 13.0779i | −1.59726 | + | 1.16048i | −0.704742 | + | 0.709464i | \(0.748937\pi\) |
−0.892517 | + | 0.451013i | \(0.851063\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 5.91486 | − | 18.2041i | 0.520775 | − | 1.60278i | ||||
\(130\) | −1.42676 | − | 11.1119i | −0.125135 | − | 0.974579i | ||||
\(131\) | 0.712332 | + | 2.19233i | 0.0622367 | + | 0.191545i | 0.977340 | − | 0.211674i | \(-0.0678914\pi\) |
−0.915104 | + | 0.403219i | \(0.867891\pi\) | |||||||
\(132\) | 10.8522 | 0.944565 | ||||||||
\(133\) | 1.26984 | + | 3.90816i | 0.110109 | + | 0.338880i | ||||
\(134\) | 1.65757 | + | 1.20429i | 0.143192 | + | 0.104035i | ||||
\(135\) | −4.27357 | − | 4.53236i | −0.367811 | − | 0.390083i | ||||
\(136\) | −0.538884 | + | 0.391522i | −0.0462089 | + | 0.0335727i | ||||
\(137\) | −17.5371 | − | 12.7414i | −1.49829 | − | 1.08857i | −0.971054 | − | 0.238858i | \(-0.923227\pi\) |
−0.527240 | − | 0.849716i | \(-0.676773\pi\) | |||||||
\(138\) | −3.38666 | − | 2.46055i | −0.288292 | − | 0.209456i | ||||
\(139\) | −1.17400 | + | 0.852958i | −0.0995770 | + | 0.0723469i | −0.636460 | − | 0.771310i | \(-0.719602\pi\) |
0.536883 | + | 0.843657i | \(0.319602\pi\) | |||||||
\(140\) | −2.19731 | − | 0.414523i | −0.185707 | − | 0.0350336i | ||||
\(141\) | 9.61273 | + | 6.98406i | 0.809538 | + | 0.588164i | ||||
\(142\) | −0.599857 | − | 1.84617i | −0.0503388 | − | 0.154927i | ||||
\(143\) | −25.0337 | −2.09342 | ||||||||
\(144\) | 0.530684 | + | 1.63328i | 0.0442237 | + | 0.136107i | ||||
\(145\) | −17.7412 | − | 3.34689i | −1.47333 | − | 0.277944i | ||||
\(146\) | 0.167737 | − | 0.516243i | 0.0138820 | − | 0.0427245i | ||||
\(147\) | 0.671167 | − | 2.06564i | 0.0553569 | − | 0.170371i | ||||
\(148\) | −7.72186 | + | 5.61026i | −0.634733 | + | 0.461161i | ||||
\(149\) | −11.2883 | −0.924774 | −0.462387 | − | 0.886678i | \(-0.653007\pi\) | ||||
−0.462387 | + | 0.886678i | \(0.653007\pi\) | |||||||
\(150\) | 5.85622 | + | 9.14538i | 0.478159 | + | 0.746717i | ||||
\(151\) | 0.261168 | 0.0212536 | 0.0106268 | − | 0.999944i | \(-0.496617\pi\) | ||||
0.0106268 | + | 0.999944i | \(0.496617\pi\) | |||||||
\(152\) | 3.32448 | − | 2.41537i | 0.269651 | − | 0.195913i | ||||
\(153\) | −0.353487 | + | 1.08792i | −0.0285778 | + | 0.0879533i | ||||
\(154\) | −1.54402 | + | 4.75200i | −0.124421 | + | 0.382927i | ||||
\(155\) | 5.76768 | − | 2.72842i | 0.463271 | − | 0.219152i | ||||
\(156\) | −3.36268 | − | 10.3493i | −0.269230 | − | 0.828604i | ||||
\(157\) | 17.1146 | 1.36589 | 0.682945 | − | 0.730470i | \(-0.260699\pi\) | ||||
0.682945 | + | 0.730470i | \(0.260699\pi\) | |||||||
\(158\) | 3.49703 | + | 10.7627i | 0.278209 | + | 0.856238i | ||||
\(159\) | 22.8324 | + | 16.5887i | 1.81073 | + | 1.31557i | ||||
\(160\) | 0.284771 | + | 2.21786i | 0.0225131 | + | 0.175337i | ||||
\(161\) | 1.55928 | − | 1.13288i | 0.122888 | − | 0.0892836i | ||||
\(162\) | −9.06323 | − | 6.58482i | −0.712075 | − | 0.517352i | ||||
\(163\) | −12.7783 | − | 9.28396i | −1.00087 | − | 0.727176i | −0.0385966 | − | 0.999255i | \(-0.512289\pi\) |
−0.962275 | + | 0.272079i | \(0.912289\pi\) | |||||||
\(164\) | −0.985264 | + | 0.715836i | −0.0769362 | + | 0.0558974i | ||||
\(165\) | 21.9357 | − | 10.3768i | 1.70769 | − | 0.807832i | ||||
\(166\) | 9.71114 | + | 7.05555i | 0.753730 | + | 0.547617i | ||||
\(167\) | −1.84719 | − | 5.68506i | −0.142940 | − | 0.439923i | 0.853801 | − | 0.520600i | \(-0.174292\pi\) |
−0.996740 | + | 0.0806770i | \(0.974292\pi\) | |||||||
\(168\) | −2.17194 | −0.167569 | ||||||||
\(169\) | 3.73974 | + | 11.5097i | 0.287672 | + | 0.885364i | ||||
\(170\) | −0.714883 | + | 1.30666i | −0.0548290 | + | 0.100217i | ||||
\(171\) | 2.18073 | − | 6.71160i | 0.166765 | − | 0.513249i | ||||
\(172\) | 2.72331 | − | 8.38148i | 0.207650 | − | 0.639082i | ||||
\(173\) | 18.9544 | − | 13.7712i | 1.44108 | − | 1.04701i | 0.453265 | − | 0.891376i | \(-0.350259\pi\) |
0.987815 | − | 0.155630i | \(-0.0497407\pi\) | |||||||
\(174\) | −17.5364 | −1.32943 | ||||||||
\(175\) | −4.83781 | + | 1.26317i | −0.365704 | + | 0.0954863i | ||||
\(176\) | 4.99655 | 0.376629 | ||||||||
\(177\) | −17.5341 | + | 12.7393i | −1.31795 | + | 0.957544i | ||||
\(178\) | −1.40515 | + | 4.32461i | −0.105320 | + | 0.324143i | ||||
\(179\) | 8.04180 | − | 24.7501i | 0.601073 | − | 1.84991i | 0.0792549 | − | 0.996854i | \(-0.474746\pi\) |
0.521818 | − | 0.853057i | \(-0.325254\pi\) | |||||||
\(180\) | 2.63440 | + | 2.79393i | 0.196357 | + | 0.208247i | ||||
\(181\) | 0.724321 | + | 2.22923i | 0.0538384 | + | 0.165697i | 0.974360 | − | 0.224994i | \(-0.0722361\pi\) |
−0.920522 | + | 0.390691i | \(0.872236\pi\) | |||||||
\(182\) | 5.01019 | 0.371380 | ||||||||
\(183\) | −6.94017 | − | 21.3597i | −0.513032 | − | 1.57895i | ||||
\(184\) | −1.55928 | − | 1.13288i | −0.114951 | − | 0.0835172i | ||||
\(185\) | −10.2438 | + | 18.7237i | −0.753140 | + | 1.37659i | ||||
\(186\) | 5.01388 | − | 3.64279i | 0.367635 | − | 0.267103i | ||||
\(187\) | 2.69256 | + | 1.95626i | 0.196900 | + | 0.143056i | ||||
\(188\) | 4.42587 | + | 3.21558i | 0.322790 | + | 0.234520i | ||||
\(189\) | 2.25383 | − | 1.63750i | 0.163942 | − | 0.119111i | ||||
\(190\) | 4.41025 | − | 8.06105i | 0.319953 | − | 0.584810i | ||||
\(191\) | −1.60053 | − | 1.16286i | −0.115811 | − | 0.0841413i | 0.528372 | − | 0.849013i | \(-0.322802\pi\) |
−0.644183 | + | 0.764871i | \(0.722802\pi\) | |||||||
\(192\) | 0.671167 | + | 2.06564i | 0.0484373 | + | 0.149075i | ||||
\(193\) | −14.7688 | −1.06308 | −0.531539 | − | 0.847034i | \(-0.678386\pi\) | ||||
−0.531539 | + | 0.847034i | \(0.678386\pi\) | |||||||
\(194\) | −1.07581 | − | 3.31099i | −0.0772385 | − | 0.237716i | ||||
\(195\) | −16.6929 | − | 17.7037i | −1.19540 | − | 1.26779i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | −0.437302 | + | 1.34588i | −0.0311565 | + | 0.0958899i | −0.965425 | − | 0.260679i | \(-0.916054\pi\) |
0.934269 | + | 0.356569i | \(0.116054\pi\) | |||||||
\(198\) | 6.94196 | − | 5.04363i | 0.493344 | − | 0.358435i | ||||
\(199\) | 1.30278 | 0.0923514 | 0.0461757 | − | 0.998933i | \(-0.485297\pi\) | ||||
0.0461757 | + | 0.998933i | \(0.485297\pi\) | |||||||
\(200\) | 2.69631 | + | 4.21069i | 0.190658 | + | 0.297741i | ||||
\(201\) | 4.45002 | 0.313880 | ||||||||
\(202\) | 4.83978 | − | 3.51630i | 0.340526 | − | 0.247406i | ||||
\(203\) | 2.49503 | − | 7.67890i | 0.175116 | − | 0.538953i | ||||
\(204\) | −0.447062 | + | 1.37592i | −0.0313006 | + | 0.0963334i | ||||
\(205\) | −1.30705 | + | 2.38903i | −0.0912883 | + | 0.166857i | ||||
\(206\) | 4.79779 | + | 14.7661i | 0.334278 | + | 1.02880i | ||||
\(207\) | −3.30994 | −0.230057 | ||||||||
\(208\) | −1.54824 | − | 4.76498i | −0.107351 | − | 0.330392i | ||||
\(209\) | −16.6109 | − | 12.0685i | −1.14900 | − | 0.834798i | ||||
\(210\) | −4.39017 | + | 2.07679i | −0.302951 | + | 0.143312i | ||||
\(211\) | −7.93668 | + | 5.76634i | −0.546384 | + | 0.396971i | −0.826450 | − | 0.563010i | \(-0.809643\pi\) |
0.280067 | + | 0.959981i | \(0.409643\pi\) | |||||||
\(212\) | 10.5124 | + | 7.63773i | 0.721997 | + | 0.524561i | ||||
\(213\) | −3.41091 | − | 2.47817i | −0.233712 | − | 0.169802i | ||||
\(214\) | 2.52355 | − | 1.83347i | 0.172507 | − | 0.125333i | ||||
\(215\) | −2.50963 | − | 19.5456i | −0.171156 | − | 1.33300i | ||||
\(216\) | −2.25383 | − | 1.63750i | −0.153353 | − | 0.111418i | ||||
\(217\) | 0.881759 | + | 2.71378i | 0.0598577 | + | 0.184223i | ||||
\(218\) | 2.12138 | 0.143678 | ||||||||
\(219\) | −0.364316 | − | 1.12125i | −0.0246182 | − | 0.0757670i | ||||
\(220\) | 10.0996 | − | 4.77765i | 0.680914 | − | 0.322109i | ||||
\(221\) | 1.03128 | − | 3.17394i | 0.0693711 | − | 0.213502i | ||||
\(222\) | −6.40612 | + | 19.7160i | −0.429950 | + | 1.32325i | ||||
\(223\) | 5.30280 | − | 3.85271i | 0.355102 | − | 0.257997i | −0.395904 | − | 0.918292i | \(-0.629569\pi\) |
0.751006 | + | 0.660295i | \(0.229569\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 7.99648 | + | 3.12841i | 0.533099 | + | 0.208561i | ||||
\(226\) | 5.25316 | 0.349435 | ||||||||
\(227\) | −1.72960 | + | 1.25663i | −0.114798 | + | 0.0834054i | −0.643703 | − | 0.765276i | \(-0.722603\pi\) |
0.528905 | + | 0.848681i | \(0.322603\pi\) | |||||||
\(228\) | 2.75801 | − | 8.48829i | 0.182654 | − | 0.562150i | ||||
\(229\) | −1.47533 | + | 4.54059i | −0.0974923 | + | 0.300051i | −0.987895 | − | 0.155123i | \(-0.950423\pi\) |
0.890403 | + | 0.455173i | \(0.150423\pi\) | |||||||
\(230\) | −4.23504 | − | 0.798941i | −0.279250 | − | 0.0526806i | ||||
\(231\) | 3.35352 | + | 10.3211i | 0.220645 | + | 0.679077i | ||||
\(232\) | −8.07407 | −0.530089 | ||||||||
\(233\) | −2.59877 | − | 7.99820i | −0.170251 | − | 0.523980i | 0.829134 | − | 0.559051i | \(-0.188834\pi\) |
−0.999385 | + | 0.0350710i | \(0.988834\pi\) | |||||||
\(234\) | −6.96091 | − | 5.05740i | −0.455049 | − | 0.330613i | ||||
\(235\) | 12.0208 | + | 2.26772i | 0.784148 | + | 0.147930i | ||||
\(236\) | −8.07302 | + | 5.86539i | −0.525509 | + | 0.381805i | ||||
\(237\) | 19.8849 | + | 14.4472i | 1.29166 | + | 0.938446i | ||||
\(238\) | −0.538884 | − | 0.391522i | −0.0349307 | − | 0.0253786i | ||||
\(239\) | −21.1637 | + | 15.3763i | −1.36897 | + | 0.994613i | −0.371151 | + | 0.928573i | \(0.621037\pi\) |
−0.997817 | + | 0.0660408i | \(0.978963\pi\) | |||||||
\(240\) | 3.33178 | + | 3.53354i | 0.215066 | + | 0.228089i | ||||
\(241\) | −17.5325 | − | 12.7381i | −1.12937 | − | 0.820533i | −0.143764 | − | 0.989612i | \(-0.545921\pi\) |
−0.985603 | + | 0.169079i | \(0.945921\pi\) | |||||||
\(242\) | −4.31559 | − | 13.2820i | −0.277417 | − | 0.853800i | ||||
\(243\) | −15.9741 | −1.02474 | ||||||||
\(244\) | −3.19538 | − | 9.83436i | −0.204563 | − | 0.629580i | ||||
\(245\) | −0.284771 | − | 2.21786i | −0.0181934 | − | 0.141694i | ||||
\(246\) | −0.817383 | + | 2.51564i | −0.0521144 | + | 0.160392i | ||||
\(247\) | −6.36213 | + | 19.5806i | −0.404813 | + | 1.24588i | ||||
\(248\) | 2.30848 | − | 1.67721i | 0.146588 | − | 0.106503i | ||||
\(249\) | 26.0712 | 1.65219 | ||||||||
\(250\) | 9.47630 | + | 5.93294i | 0.599334 | + | 0.375232i | ||||
\(251\) | −6.69160 | −0.422370 | −0.211185 | − | 0.977446i | \(-0.567732\pi\) | ||||
−0.211185 | + | 0.977446i | \(0.567732\pi\) | |||||||
\(252\) | −1.38935 | + | 1.00942i | −0.0875208 | + | 0.0635876i | ||||
\(253\) | −2.97590 | + | 9.15889i | −0.187093 | + | 0.575814i | ||||
\(254\) | −6.87546 | + | 21.1605i | −0.431405 | + | 1.32773i | ||||
\(255\) | 0.411985 | + | 3.20863i | 0.0257995 | + | 0.200932i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −6.37109 | −0.397417 | −0.198709 | − | 0.980059i | \(-0.563675\pi\) | ||||
−0.198709 | + | 0.980059i | \(0.563675\pi\) | |||||||
\(258\) | −5.91486 | − | 18.2041i | −0.368243 | − | 1.13334i | ||||
\(259\) | −7.72186 | − | 5.61026i | −0.479813 | − | 0.348605i | ||||
\(260\) | −7.68569 | − | 8.15110i | −0.476646 | − | 0.505510i | ||||
\(261\) | −11.2177 | + | 8.15014i | −0.694359 | + | 0.504481i | ||||
\(262\) | 1.86491 | + | 1.35494i | 0.115214 | + | 0.0837082i | ||||
\(263\) | 10.7331 | + | 7.79807i | 0.661833 | + | 0.480850i | 0.867281 | − | 0.497818i | \(-0.165865\pi\) |
−0.205449 | + | 0.978668i | \(0.565865\pi\) | |||||||
\(264\) | 8.77963 | − | 6.37878i | 0.540349 | − | 0.392587i | ||||
\(265\) | 28.5520 | + | 5.38635i | 1.75394 | + | 0.330881i | ||||
\(266\) | 3.32448 | + | 2.41537i | 0.203837 | + | 0.148096i | ||||
\(267\) | 3.05190 | + | 9.39279i | 0.186773 | + | 0.574830i | ||||
\(268\) | 2.04887 | 0.125155 | ||||||||
\(269\) | −0.589669 | − | 1.81481i | −0.0359527 | − | 0.110651i | 0.931470 | − | 0.363819i | \(-0.118527\pi\) |
−0.967422 | + | 0.253168i | \(0.918527\pi\) | |||||||
\(270\) | −6.12145 | − | 1.15481i | −0.372539 | − | 0.0702797i | ||||
\(271\) | 3.97393 | − | 12.2305i | 0.241399 | − | 0.742950i | −0.754809 | − | 0.655945i | \(-0.772270\pi\) |
0.996208 | − | 0.0870049i | \(-0.0277296\pi\) | |||||||
\(272\) | −0.205835 | + | 0.633496i | −0.0124806 | + | 0.0384113i | ||||
\(273\) | 8.80360 | − | 6.39619i | 0.532818 | − | 0.387115i | ||||
\(274\) | −21.6770 | −1.30956 | ||||||||
\(275\) | 15.8461 | − | 19.3143i | 0.955554 | − | 1.16469i | ||||
\(276\) | −4.18614 | −0.251976 | ||||||||
\(277\) | −11.8144 | + | 8.58364i | −0.709857 | + | 0.515741i | −0.883128 | − | 0.469133i | \(-0.844566\pi\) |
0.173271 | + | 0.984874i | \(0.444566\pi\) | |||||||
\(278\) | −0.448426 | + | 1.38011i | −0.0268948 | + | 0.0827738i | ||||
\(279\) | 1.51427 | − | 4.66045i | 0.0906571 | − | 0.279014i | ||||
\(280\) | −2.02131 | + | 0.956190i | −0.120796 | + | 0.0571433i | ||||
\(281\) | −7.36510 | − | 22.6675i | −0.439365 | − | 1.35223i | −0.888547 | − | 0.458786i | \(-0.848284\pi\) |
0.449181 | − | 0.893441i | \(-0.351716\pi\) | |||||||
\(282\) | 11.8820 | 0.707562 | ||||||||
\(283\) | 0.916330 | + | 2.82017i | 0.0544702 | + | 0.167642i | 0.974591 | − | 0.223993i | \(-0.0719094\pi\) |
−0.920120 | + | 0.391635i | \(0.871909\pi\) | |||||||
\(284\) | −1.57044 | − | 1.14099i | −0.0931888 | − | 0.0677056i | ||||
\(285\) | −2.54161 | − | 19.7947i | −0.150552 | − | 1.17253i | ||||
\(286\) | −20.2527 | + | 14.7144i | −1.19757 | + | 0.870083i | ||||
\(287\) | −0.985264 | − | 0.715836i | −0.0581583 | − | 0.0422545i | ||||
\(288\) | 1.38935 | + | 1.00942i | 0.0818682 | + | 0.0594807i | ||||
\(289\) | 13.3943 | − | 9.73156i | 0.787902 | − | 0.572445i | ||||
\(290\) | −16.3202 | + | 7.72035i | −0.958356 | + | 0.453354i | ||||
\(291\) | −6.11727 | − | 4.44446i | −0.358601 | − | 0.260539i | ||||
\(292\) | −0.167737 | − | 0.516243i | −0.00981609 | − | 0.0302108i | ||||
\(293\) | 28.8409 | 1.68490 | 0.842451 | − | 0.538774i | \(-0.181112\pi\) | ||||
0.842451 | + | 0.538774i | \(0.181112\pi\) | |||||||
\(294\) | −0.671167 | − | 2.06564i | −0.0391432 | − | 0.120471i | ||||
\(295\) | −10.7097 | + | 19.5751i | −0.623541 | + | 1.13971i | ||||
\(296\) | −2.94949 | + | 9.07759i | −0.171436 | + | 0.527624i | ||||
\(297\) | −4.30146 | + | 13.2385i | −0.249596 | + | 0.768177i | ||||
\(298\) | −9.13243 | + | 6.63510i | −0.529027 | + | 0.384361i | ||||
\(299\) | 9.65652 | 0.558451 | ||||||||
\(300\) | 10.1133 | + | 3.95656i | 0.583892 | + | 0.228432i | ||||
\(301\) | 8.81281 | 0.507962 | ||||||||
\(302\) | 0.211290 | − | 0.153511i | 0.0121584 | − | 0.00883356i | ||||
\(303\) | 4.01512 | − | 12.3573i | 0.230662 | − | 0.709906i | ||||
\(304\) | 1.26984 | − | 3.90816i | 0.0728301 | − | 0.224148i | ||||
\(305\) | −15.8624 | − | 16.8229i | −0.908276 | − | 0.963277i | ||||
\(306\) | 0.353487 | + | 1.08792i | 0.0202075 | + | 0.0621924i | ||||
\(307\) | 25.1865 | 1.43747 | 0.718733 | − | 0.695286i | \(-0.244722\pi\) | ||||
0.718733 | + | 0.695286i | \(0.244722\pi\) | |||||||
\(308\) | 1.54402 | + | 4.75200i | 0.0879787 | + | 0.270771i | ||||
\(309\) | 27.2813 | + | 19.8210i | 1.55198 | + | 1.12758i | ||||
\(310\) | 3.06242 | − | 5.59750i | 0.173934 | − | 0.317917i | ||||
\(311\) | −16.7800 | + | 12.1914i | −0.951504 | + | 0.691308i | −0.951162 | − | 0.308692i | \(-0.900109\pi\) |
−0.000341978 | 1.00000i | \(0.500109\pi\) | ||||||||
\(312\) | −8.80360 | − | 6.39619i | −0.498406 | − | 0.362113i | ||||
\(313\) | 20.9643 | + | 15.2314i | 1.18497 | + | 0.860931i | 0.992724 | − | 0.120416i | \(-0.0384228\pi\) |
0.192246 | + | 0.981347i | \(0.438423\pi\) | |||||||
\(314\) | 13.8460 | − | 10.0597i | 0.781373 | − | 0.567701i | ||||
\(315\) | −1.84311 | + | 3.36884i | −0.103847 | + | 0.189813i | ||||
\(316\) | 9.15534 | + | 6.65174i | 0.515028 | + | 0.374190i | ||||
\(317\) | 8.89649 | + | 27.3806i | 0.499677 | + | 1.53785i | 0.809539 | + | 0.587066i | \(0.199717\pi\) |
−0.309862 | + | 0.950781i | \(0.600283\pi\) | |||||||
\(318\) | 28.2224 | 1.58263 | ||||||||
\(319\) | 12.4665 | + | 38.3680i | 0.697991 | + | 2.14820i | ||||
\(320\) | 1.53401 | + | 1.62690i | 0.0857538 | + | 0.0909466i | ||||
\(321\) | 2.09356 | − | 6.44331i | 0.116851 | − | 0.359631i | ||||
\(322\) | 0.595591 | − | 1.83304i | 0.0331910 | − | 0.102151i | ||||
\(323\) | 2.21442 | − | 1.60887i | 0.123214 | − | 0.0895201i | ||||
\(324\) | −11.2028 | −0.622376 | ||||||||
\(325\) | −23.3292 | − | 9.12693i | −1.29407 | − | 0.506271i | ||||
\(326\) | −15.7948 | −0.874794 | ||||||||
\(327\) | 3.72756 | − | 2.70823i | 0.206134 | − | 0.149765i | ||||
\(328\) | −0.376337 | + | 1.15825i | −0.0207797 | + | 0.0639535i | ||||
\(329\) | −1.69053 | + | 5.20292i | −0.0932020 | + | 0.286846i | ||||
\(330\) | 11.6470 | − | 21.2885i | 0.641149 | − | 1.17189i | ||||
\(331\) | 6.42762 | + | 19.7822i | 0.353294 | + | 1.08733i | 0.956992 | + | 0.290114i | \(0.0936932\pi\) |
−0.603698 | + | 0.797213i | \(0.706307\pi\) | |||||||
\(332\) | 12.0036 | 0.658784 | ||||||||
\(333\) | 5.06525 | + | 15.5892i | 0.277574 | + | 0.854284i | ||||
\(334\) | −4.83600 | − | 3.51356i | −0.264614 | − | 0.192253i | ||||
\(335\) | 4.14140 | − | 1.95911i | 0.226269 | − | 0.107037i | ||||
\(336\) | −1.75714 | + | 1.27664i | −0.0958597 | + | 0.0696462i | ||||
\(337\) | 14.0959 | + | 10.2413i | 0.767855 | + | 0.557879i | 0.901310 | − | 0.433176i | \(-0.142607\pi\) |
−0.133455 | + | 0.991055i | \(0.542607\pi\) | |||||||
\(338\) | 9.79076 | + | 7.11341i | 0.532547 | + | 0.386918i | ||||
\(339\) | 9.23053 | − | 6.70637i | 0.501334 | − | 0.364240i | ||||
\(340\) | 0.189685 | + | 1.47731i | 0.0102871 | + | 0.0801184i | ||||
\(341\) | −11.5344 | − | 8.38025i | −0.624624 | − | 0.453816i | ||||
\(342\) | −2.18073 | − | 6.71160i | −0.117920 | − | 0.362922i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −2.72331 | − | 8.38148i | −0.146831 | − | 0.451899i | ||||
\(345\) | −8.46150 | + | 4.00275i | −0.455552 | + | 0.215501i | ||||
\(346\) | 7.23995 | − | 22.2823i | 0.389222 | − | 1.19790i | ||||
\(347\) | −4.31612 | + | 13.2836i | −0.231701 | + | 0.713104i | 0.765840 | + | 0.643031i | \(0.222323\pi\) |
−0.997542 | + | 0.0700730i | \(0.977677\pi\) | |||||||
\(348\) | −14.1873 | + | 10.3076i | −0.760517 | + | 0.552548i | ||||
\(349\) | −31.9657 | −1.71108 | −0.855541 | − | 0.517734i | \(-0.826776\pi\) | ||||
−0.855541 | + | 0.517734i | \(0.826776\pi\) | |||||||
\(350\) | −3.17140 | + | 3.86552i | −0.169519 | + | 0.206621i | ||||
\(351\) | 13.9578 | 0.745013 | ||||||||
\(352\) | 4.04230 | − | 2.93690i | 0.215455 | − | 0.156537i | ||||
\(353\) | 3.10980 | − | 9.57098i | 0.165518 | − | 0.509412i | −0.833556 | − | 0.552435i | \(-0.813699\pi\) |
0.999074 | + | 0.0430228i | \(0.0136988\pi\) | |||||||
\(354\) | −6.69744 | + | 20.6126i | −0.355965 | + | 1.09555i | ||||
\(355\) | −4.26537 | − | 0.804663i | −0.226382 | − | 0.0427071i | ||||
\(356\) | 1.40515 | + | 4.32461i | 0.0744728 | + | 0.229204i | ||||
\(357\) | −1.44672 | −0.0765688 | ||||||||
\(358\) | −8.04180 | − | 24.7501i | −0.425023 | − | 1.30808i | ||||
\(359\) | 9.97744 | + | 7.24903i | 0.526589 | + | 0.382589i | 0.819080 | − | 0.573679i | \(-0.194484\pi\) |
−0.292491 | + | 0.956268i | \(0.594484\pi\) | |||||||
\(360\) | 3.77351 | + | 0.711873i | 0.198881 | + | 0.0375190i | ||||
\(361\) | 1.71013 | − | 1.24248i | 0.0900068 | − | 0.0653938i | ||||
\(362\) | 1.89630 | + | 1.37774i | 0.0996672 | + | 0.0724124i | ||||
\(363\) | −24.5394 | − | 17.8289i | −1.28798 | − | 0.935775i | ||||
\(364\) | 4.05333 | − | 2.94492i | 0.212452 | − | 0.154356i | ||||
\(365\) | −0.832676 | − | 0.883098i | −0.0435842 | − | 0.0462235i | ||||
\(366\) | −18.1696 | − | 13.2010i | −0.949740 | − | 0.690027i | ||||
\(367\) | −3.52350 | − | 10.8442i | −0.183925 | − | 0.566063i | 0.816003 | − | 0.578047i | \(-0.196185\pi\) |
−0.999928 | + | 0.0119844i | \(0.996185\pi\) | |||||||
\(368\) | −1.92737 | −0.100471 | ||||||||
\(369\) | 0.646296 | + | 1.98909i | 0.0336448 | + | 0.103548i | ||||
\(370\) | 2.71807 | + | 21.1689i | 0.141306 | + | 1.10052i | ||||
\(371\) | −4.01539 | + | 12.3581i | −0.208469 | + | 0.641601i | ||||
\(372\) | 1.91513 | − | 5.89416i | 0.0992949 | − | 0.305598i | ||||
\(373\) | −3.04159 | + | 2.20985i | −0.157488 | + | 0.114421i | −0.663738 | − | 0.747965i | \(-0.731031\pi\) |
0.506251 | + | 0.862386i | \(0.331031\pi\) | |||||||
\(374\) | 3.32819 | 0.172097 | ||||||||
\(375\) | 24.2254 | − | 1.67279i | 1.25099 | − | 0.0863825i | ||||
\(376\) | 5.47067 | 0.282128 | ||||||||
\(377\) | 32.7269 | − | 23.7775i | 1.68552 | − | 1.22460i | ||||
\(378\) | 0.860885 | − | 2.64953i | 0.0442791 | − | 0.136277i | ||||
\(379\) | 4.31010 | − | 13.2651i | 0.221395 | − | 0.681384i | −0.777243 | − | 0.629201i | \(-0.783382\pi\) |
0.998638 | − | 0.0521827i | \(-0.0166178\pi\) | |||||||
\(380\) | −1.17020 | − | 9.11380i | −0.0600302 | − | 0.467528i | ||||
\(381\) | 14.9331 | + | 45.9594i | 0.765046 | + | 2.35457i | ||||
\(382\) | −1.97837 | −0.101222 | ||||||||
\(383\) | 3.73989 | + | 11.5102i | 0.191100 | + | 0.588144i | 1.00000 | 0.000198488i | \(6.31807e-5\pi\) | |
−0.808900 | + | 0.587946i | \(0.799937\pi\) | |||||||
\(384\) | 1.75714 | + | 1.27664i | 0.0896686 | + | 0.0651480i | ||||
\(385\) | 7.66476 | + | 8.12890i | 0.390633 | + | 0.414287i | ||||
\(386\) | −11.9482 | + | 8.68085i | −0.608146 | + | 0.441844i | ||||
\(387\) | −12.2441 | − | 8.89584i | −0.622401 | − | 0.452201i | ||||
\(388\) | −2.81650 | − | 2.04631i | −0.142986 | − | 0.103885i | ||||
\(389\) | −12.7415 | + | 9.25724i | −0.646020 | + | 0.469361i | −0.861913 | − | 0.507056i | \(-0.830734\pi\) |
0.215893 | + | 0.976417i | \(0.430734\pi\) | |||||||
\(390\) | −23.9108 | − | 4.51078i | −1.21077 | − | 0.228412i | ||||
\(391\) | −1.03863 | − | 0.754609i | −0.0525258 | − | 0.0381622i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | 5.00666 | 0.252553 | ||||||||
\(394\) | 0.437302 | + | 1.34588i | 0.0220310 | + | 0.0678044i | ||||
\(395\) | 24.8661 | + | 4.69100i | 1.25115 | + | 0.236030i | ||||
\(396\) | 2.65159 | − | 8.16076i | 0.133248 | − | 0.410094i | ||||
\(397\) | 0.296903 | − | 0.913772i | 0.0149011 | − | 0.0458609i | −0.943329 | − | 0.331858i | \(-0.892325\pi\) |
0.958231 | + | 0.285997i | \(0.0923246\pi\) | |||||||
\(398\) | 1.05397 | − | 0.765753i | 0.0528307 | − | 0.0383837i | ||||
\(399\) | 8.92511 | 0.446814 | ||||||||
\(400\) | 4.65634 | + | 1.82167i | 0.232817 | + | 0.0910836i | ||||
\(401\) | −14.5970 | −0.728938 | −0.364469 | − | 0.931216i | \(-0.618749\pi\) | ||||
−0.364469 | + | 0.931216i | \(0.618749\pi\) | |||||||
\(402\) | 3.60014 | − | 2.61566i | 0.179559 | − | 0.130457i | ||||
\(403\) | −4.41779 | + | 13.5965i | −0.220066 | + | 0.677292i | ||||
\(404\) | 1.84863 | − | 5.68950i | 0.0919728 | − | 0.283063i | ||||
\(405\) | −22.6443 | + | 10.7120i | −1.12520 | + | 0.532282i | ||||
\(406\) | −2.49503 | − | 7.67890i | −0.123826 | − | 0.381097i | ||||
\(407\) | 47.6908 | 2.36395 | ||||||||
\(408\) | 0.447062 | + | 1.37592i | 0.0221329 | + | 0.0681180i | ||||
\(409\) | −1.38232 | − | 1.00431i | −0.0683513 | − | 0.0496601i | 0.553085 | − | 0.833125i | \(-0.313451\pi\) |
−0.621436 | + | 0.783465i | \(0.713451\pi\) | |||||||
\(410\) | 0.346809 | + | 2.70103i | 0.0171277 | + | 0.133394i | ||||
\(411\) | −38.0895 | + | 27.6737i | −1.87882 | + | 1.36504i | ||||
\(412\) | 12.5608 | + | 9.12595i | 0.618826 | + | 0.449603i | ||||
\(413\) | −8.07302 | − | 5.86539i | −0.397247 | − | 0.288617i | ||||
\(414\) | −2.67780 | + | 1.94553i | −0.131607 | + | 0.0956177i | ||||
\(415\) | 24.2631 | − | 11.4777i | 1.19103 | − | 0.563420i | ||||
\(416\) | −4.05333 | − | 2.94492i | −0.198731 | − | 0.144387i | ||||
\(417\) | 0.973956 | + | 2.99753i | 0.0476948 | + | 0.146790i | ||||
\(418\) | −20.5322 | −1.00426 | ||||||||
\(419\) | −4.22139 | − | 12.9921i | −0.206228 | − | 0.634705i | −0.999661 | − | 0.0260471i | \(-0.991708\pi\) |
0.793432 | − | 0.608658i | \(-0.208292\pi\) | |||||||
\(420\) | −2.33102 | + | 4.26064i | −0.113742 | + | 0.207898i | ||||
\(421\) | 1.76632 | − | 5.43616i | 0.0860849 | − | 0.264942i | −0.898743 | − | 0.438476i | \(-0.855519\pi\) |
0.984828 | + | 0.173534i | \(0.0555185\pi\) | |||||||
\(422\) | −3.03154 | + | 9.33013i | −0.147573 | + | 0.454184i | ||||
\(423\) | 7.60068 | − | 5.52222i | 0.369558 | − | 0.268499i | ||||
\(424\) | 12.9941 | 0.631048 | ||||||||
\(425\) | 1.79600 | + | 2.80473i | 0.0871189 | + | 0.136049i | ||||
\(426\) | −4.21612 | −0.204272 | ||||||||
\(427\) | 8.36560 | − | 6.07797i | 0.404840 | − | 0.294133i | ||||
\(428\) | 0.963911 | − | 2.96661i | 0.0465924 | − | 0.143397i | ||||
\(429\) | −16.8018 | + | 51.7106i | −0.811198 | + | 2.49661i | ||||
\(430\) | −13.5189 | − | 14.3376i | −0.651941 | − | 0.691419i | ||||
\(431\) | −3.49650 | − | 10.7611i | −0.168421 | − | 0.518345i | 0.830852 | − | 0.556494i | \(-0.187854\pi\) |
−0.999272 | + | 0.0381491i | \(0.987854\pi\) | |||||||
\(432\) | −2.78588 | −0.134036 | ||||||||
\(433\) | −9.08720 | − | 27.9675i | −0.436703 | − | 1.34403i | −0.891331 | − | 0.453353i | \(-0.850228\pi\) |
0.454628 | − | 0.890681i | \(-0.349772\pi\) | |||||||
\(434\) | 2.30848 | + | 1.67721i | 0.110810 | + | 0.0805085i | ||||
\(435\) | −18.8208 | + | 34.4007i | −0.902388 | + | 1.64939i | ||||
\(436\) | 1.71623 | − | 1.24692i | 0.0821926 | − | 0.0597164i | ||||
\(437\) | 6.40751 | + | 4.65533i | 0.306513 | + | 0.222694i | ||||
\(438\) | −0.953791 | − | 0.692970i | −0.0455739 | − | 0.0331114i | ||||
\(439\) | −31.3930 | + | 22.8083i | −1.49830 | + | 1.08858i | −0.527254 | + | 0.849707i | \(0.676779\pi\) |
−0.971050 | + | 0.238875i | \(0.923221\pi\) | |||||||
\(440\) | 5.36251 | − | 9.80159i | 0.255647 | − | 0.467273i | ||||
\(441\) | −1.38935 | − | 1.00942i | −0.0661595 | − | 0.0480677i | ||||
\(442\) | −1.03128 | − | 3.17394i | −0.0490528 | − | 0.150969i | ||||
\(443\) | 17.2107 | 0.817707 | 0.408853 | − | 0.912600i | \(-0.365929\pi\) | ||||
0.408853 | + | 0.912600i | \(0.365929\pi\) | |||||||
\(444\) | 6.40612 | + | 19.7160i | 0.304021 | + | 0.935680i | ||||
\(445\) | 6.97539 | + | 7.39779i | 0.330665 | + | 0.350689i | ||||
\(446\) | 2.02549 | − | 6.23382i | 0.0959098 | − | 0.295180i | ||||
\(447\) | −7.57633 | + | 23.3176i | −0.358348 | + | 1.10288i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | −6.57448 | −0.310269 | −0.155134 | − | 0.987893i | \(-0.549581\pi\) | ||||
−0.155134 | + | 0.987893i | \(0.549581\pi\) | |||||||
\(450\) | 8.30812 | − | 2.16927i | 0.391649 | − | 0.102261i | ||||
\(451\) | 6.08507 | 0.286535 | ||||||||
\(452\) | 4.24990 | − | 3.08773i | 0.199898 | − | 0.145235i | ||||
\(453\) | 0.175288 | − | 0.539480i | 0.00823573 | − | 0.0253470i | ||||
\(454\) | −0.660649 | + | 2.03327i | −0.0310058 | + | 0.0954261i | ||||
\(455\) | 5.37715 | − | 9.82835i | 0.252084 | − | 0.460760i | ||||
\(456\) | −2.75801 | − | 8.48829i | −0.129156 | − | 0.397500i | ||||
\(457\) | 3.74235 | 0.175060 | 0.0875300 | − | 0.996162i | \(-0.472103\pi\) | ||||
0.0875300 | + | 0.996162i | \(0.472103\pi\) | |||||||
\(458\) | 1.47533 | + | 4.54059i | 0.0689375 | + | 0.212168i | ||||
\(459\) | −1.50127 | − | 1.09073i | −0.0700732 | − | 0.0509111i | ||||
\(460\) | −3.89582 | + | 1.84294i | −0.181644 | + | 0.0859273i | ||||
\(461\) | 22.9427 | − | 16.6689i | 1.06855 | − | 0.776346i | 0.0928976 | − | 0.995676i | \(-0.470387\pi\) |
0.975651 | + | 0.219330i | \(0.0703871\pi\) | |||||||
\(462\) | 8.77963 | + | 6.37878i | 0.408465 | + | 0.296768i | ||||
\(463\) | −28.8213 | − | 20.9399i | −1.33944 | − | 0.973160i | −0.999464 | − | 0.0327256i | \(-0.989581\pi\) |
−0.339975 | − | 0.940434i | \(-0.610419\pi\) | |||||||
\(464\) | −6.53206 | + | 4.74582i | −0.303243 | + | 0.220319i | ||||
\(465\) | −1.76487 | − | 13.7452i | −0.0818437 | − | 0.637417i | ||||
\(466\) | −6.80368 | − | 4.94316i | −0.315174 | − | 0.228987i | ||||
\(467\) | −10.0111 | − | 30.8110i | −0.463259 | − | 1.42576i | −0.861159 | − | 0.508335i | \(-0.830261\pi\) |
0.397901 | − | 0.917428i | \(-0.369739\pi\) | |||||||
\(468\) | −8.60416 | −0.397728 | ||||||||
\(469\) | 0.633135 | + | 1.94859i | 0.0292355 | + | 0.0899775i | ||||
\(470\) | 11.0579 | − | 5.23100i | 0.510065 | − | 0.241288i | ||||
\(471\) | 11.4867 | − | 35.3525i | 0.529280 | − | 1.62896i | ||||
\(472\) | −3.08362 | + | 9.49041i | −0.141935 | + | 0.436831i | ||||
\(473\) | −35.6240 | + | 25.8823i | −1.63799 | + | 1.19007i | ||||
\(474\) | 24.5790 | 1.12895 | ||||||||
\(475\) | −11.0799 | − | 17.3029i | −0.508380 | − | 0.793912i | ||||
\(476\) | −0.666097 | −0.0305305 | ||||||||
\(477\) | 18.0533 | − | 13.1165i | 0.826605 | − | 0.600564i | ||||
\(478\) | −8.08383 | + | 24.8795i | −0.369746 | + | 1.13796i | ||||
\(479\) | 3.32814 | − | 10.2430i | 0.152067 | − | 0.468013i | −0.845785 | − | 0.533523i | \(-0.820868\pi\) |
0.997852 | + | 0.0655106i | \(0.0208676\pi\) | |||||||
\(480\) | 4.77243 | + | 0.900320i | 0.217831 | + | 0.0410938i | ||||
\(481\) | −14.7775 | − | 45.4805i | −0.673796 | − | 2.07373i | ||||
\(482\) | −21.6713 | −0.987103 | ||||||||
\(483\) | −1.29359 | − | 3.98126i | −0.0588604 | − | 0.181154i | ||||
\(484\) | −11.2984 | − | 8.20874i | −0.513562 | − | 0.373124i | ||||
\(485\) | −7.64968 | − | 1.44311i | −0.347354 | − | 0.0655285i | ||||
\(486\) | −12.9233 | + | 9.38935i | −0.586214 | + | 0.425909i | ||||
\(487\) | −0.717822 | − | 0.521528i | −0.0325276 | − | 0.0236327i | 0.571403 | − | 0.820670i | \(-0.306399\pi\) |
−0.603930 | + | 0.797037i | \(0.706399\pi\) | |||||||
\(488\) | −8.36560 | − | 6.07797i | −0.378693 | − | 0.275137i | ||||
\(489\) | −27.7537 | + | 20.1642i | −1.25506 | + | 0.911857i | ||||
\(490\) | −1.53401 | − | 1.62690i | −0.0692995 | − | 0.0734960i | ||||
\(491\) | −17.5795 | − | 12.7722i | −0.793350 | − | 0.576403i | 0.115605 | − | 0.993295i | \(-0.463119\pi\) |
−0.908956 | + | 0.416892i | \(0.863119\pi\) | |||||||
\(492\) | 0.817383 | + | 2.51564i | 0.0368505 | + | 0.113414i | ||||
\(493\) | −5.37812 | −0.242218 | ||||||||
\(494\) | 6.36213 | + | 19.5806i | 0.286246 | + | 0.880974i | ||||
\(495\) | −2.44355 | − | 19.0309i | −0.109829 | − | 0.855374i | ||||
\(496\) | 0.881759 | − | 2.71378i | 0.0395922 | − | 0.121852i | ||||
\(497\) | 0.599857 | − | 1.84617i | 0.0269072 | − | 0.0828120i | ||||
\(498\) | 21.0920 | − | 15.3243i | 0.945156 | − | 0.686696i | ||||
\(499\) | 27.6905 | 1.23960 | 0.619799 | − | 0.784761i | \(-0.287214\pi\) | ||||
0.619799 | + | 0.784761i | \(0.287214\pi\) | |||||||
\(500\) | 11.1538 | − | 0.770182i | 0.498812 | − | 0.0344436i | ||||
\(501\) | −12.9831 | −0.580040 | ||||||||
\(502\) | −5.41361 | + | 3.93322i | −0.241621 | + | 0.175548i | ||||
\(503\) | 3.04549 | − | 9.37306i | 0.135792 | − | 0.417924i | −0.859921 | − | 0.510428i | \(-0.829487\pi\) |
0.995712 | + | 0.0925039i | \(0.0294871\pi\) | |||||||
\(504\) | −0.530684 | + | 1.63328i | −0.0236386 | + | 0.0727520i | ||||
\(505\) | −1.70358 | − | 13.2679i | −0.0758085 | − | 0.590414i | ||||
\(506\) | 2.97590 | + | 9.15889i | 0.132295 | + | 0.407162i | ||||
\(507\) | 26.2849 | 1.16736 | ||||||||
\(508\) | 6.87546 | + | 21.1605i | 0.305049 | + | 0.938845i | ||||
\(509\) | −22.6999 | − | 16.4924i | −1.00616 | − | 0.731014i | −0.0427559 | − | 0.999086i | \(-0.513614\pi\) |
−0.963399 | + | 0.268071i | \(0.913614\pi\) | |||||||
\(510\) | 2.21929 | + | 2.35368i | 0.0982718 | + | 0.104223i | ||||
\(511\) | 0.439142 | − | 0.319055i | 0.0194265 | − | 0.0141142i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 9.26160 | + | 6.72894i | 0.408910 | + | 0.297090i | ||||
\(514\) | −5.15432 | + | 3.74483i | −0.227347 | + | 0.165177i | ||||
\(515\) | 34.1154 | + | 6.43588i | 1.50330 | + | 0.283599i | ||||
\(516\) | −15.4853 | − | 11.2507i | −0.681703 | − | 0.495286i | ||||
\(517\) | −8.44683 | − | 25.9967i | −0.371491 | − | 1.14333i | ||||
\(518\) | −9.54474 | −0.419372 | ||||||||
\(519\) | −15.7248 | − | 48.3958i | −0.690240 | − | 2.12434i | ||||
\(520\) | −11.0089 | − | 2.07684i | −0.482774 | − | 0.0910755i | ||||
\(521\) | −9.10897 | + | 28.0345i | −0.399071 | + | 1.22821i | 0.526674 | + | 0.850067i | \(0.323439\pi\) |
−0.925745 | + | 0.378147i | \(0.876561\pi\) | |||||||
\(522\) | −4.28478 | + | 13.1872i | −0.187540 | + | 0.577188i | ||||
\(523\) | 25.0128 | − | 18.1729i | 1.09373 | − | 0.794645i | 0.113709 | − | 0.993514i | \(-0.463727\pi\) |
0.980026 | + | 0.198869i | \(0.0637269\pi\) | |||||||
\(524\) | 2.30515 | 0.100701 | ||||||||
\(525\) | −0.637734 | + | 10.8410i | −0.0278330 | + | 0.473139i | ||||
\(526\) | 13.2669 | 0.578463 | ||||||||
\(527\) | 1.53767 | − | 1.11718i | 0.0669819 | − | 0.0486652i | ||||
\(528\) | 3.35352 | − | 10.3211i | 0.145943 | − | 0.449167i | ||||
\(529\) | −5.95946 | + | 18.3413i | −0.259107 | + | 0.797450i | ||||
\(530\) | 26.2651 | − | 12.4248i | 1.14088 | − | 0.539699i | ||||
\(531\) | 5.29560 | + | 16.2982i | 0.229809 | + | 0.707280i | ||||
\(532\) | 4.10928 | 0.178160 | ||||||||
\(533\) | −1.88552 | − | 5.80304i | −0.0816711 | − | 0.251358i | ||||
\(534\) | 7.98999 | + | 5.80507i | 0.345761 | + | 0.251210i | ||||
\(535\) | −0.888282 | − | 6.91813i | −0.0384038 | − | 0.299097i | ||||
\(536\) | 1.65757 | − | 1.20429i | 0.0715961 | − | 0.0520176i | ||||
\(537\) | −45.7274 | − | 33.2229i | −1.97328 | − | 1.43368i | ||||
\(538\) | −1.54377 | − | 1.12162i | −0.0665567 | − | 0.0483563i | ||||
\(539\) | −4.04230 | + | 2.93690i | −0.174114 | + | 0.126501i | ||||
\(540\) | −5.63114 | + | 2.66383i | −0.242326 | + | 0.114633i | ||||
\(541\) | −14.6048 | − | 10.6110i | −0.627908 | − | 0.456202i | 0.227767 | − | 0.973716i | \(-0.426858\pi\) |
−0.855675 | + | 0.517514i | \(0.826858\pi\) | |||||||
\(542\) | −3.97393 | − | 12.2305i | −0.170695 | − | 0.525345i | ||||
\(543\) | 5.09093 | 0.218473 | ||||||||
\(544\) | 0.205835 | + | 0.633496i | 0.00882512 | + | 0.0271609i | ||||
\(545\) | 2.27675 | − | 4.16145i | 0.0975254 | − | 0.178257i | ||||
\(546\) | 3.36268 | − | 10.3493i | 0.143909 | − | 0.442907i | ||||
\(547\) | 7.40007 | − | 22.7751i | 0.316404 | − | 0.973792i | −0.658768 | − | 0.752346i | \(-0.728922\pi\) |
0.975173 | − | 0.221446i | \(-0.0710777\pi\) | |||||||
\(548\) | −17.5371 | + | 12.7414i | −0.749147 | + | 0.544287i | ||||
\(549\) | −17.7580 | −0.757892 | ||||||||
\(550\) | 1.46711 | − | 24.9396i | 0.0625577 | − | 1.06343i | ||||
\(551\) | 33.1786 | 1.41346 | ||||||||
\(552\) | −3.38666 | + | 2.46055i | −0.144146 | + | 0.104728i | ||||
\(553\) | −3.49703 | + | 10.7627i | −0.148709 | + | 0.457678i | ||||
\(554\) | −4.51269 | + | 13.8886i | −0.191726 | + | 0.590071i | ||||
\(555\) | 31.8010 | + | 33.7267i | 1.34988 | + | 1.43162i | ||||
\(556\) | 0.448426 | + | 1.38011i | 0.0190175 | + | 0.0585299i | ||||
\(557\) | 7.45853 | 0.316028 | 0.158014 | − | 0.987437i | \(-0.449491\pi\) | ||||
0.158014 | + | 0.987437i | \(0.449491\pi\) | |||||||
\(558\) | −1.51427 | − | 4.66045i | −0.0641043 | − | 0.197293i | ||||
\(559\) | 35.7212 | + | 25.9530i | 1.51085 | + | 1.09769i | ||||
\(560\) | −1.07324 | + | 1.96167i | −0.0453527 | + | 0.0828957i | ||||
\(561\) | 5.84809 | − | 4.24889i | 0.246906 | − | 0.179388i | ||||
\(562\) | −19.2821 | − | 14.0093i | −0.813366 | − | 0.590945i | ||||
\(563\) | 22.5315 | + | 16.3701i | 0.949590 | + | 0.689918i | 0.950710 | − | 0.310082i | \(-0.100356\pi\) |
−0.00111965 | + | 0.999999i | \(0.500356\pi\) | |||||||
\(564\) | 9.61273 | − | 6.98406i | 0.404769 | − | 0.294082i | ||||
\(565\) | 5.63791 | − | 10.3050i | 0.237189 | − | 0.433534i | ||||
\(566\) | 2.39898 | + | 1.74296i | 0.100837 | + | 0.0732622i | ||||
\(567\) | −3.46185 | − | 10.6545i | −0.145384 | − | 0.447445i | ||||
\(568\) | −1.94118 | −0.0814500 | ||||||||
\(569\) | −12.8340 | − | 39.4991i | −0.538031 | − | 1.65589i | −0.737007 | − | 0.675885i | \(-0.763761\pi\) |
0.198976 | − | 0.980004i | \(-0.436239\pi\) | |||||||
\(570\) | −13.6912 | − | 14.5203i | −0.573462 | − | 0.608188i | ||||
\(571\) | 7.54469 | − | 23.2202i | 0.315736 | − | 0.971734i | −0.659715 | − | 0.751516i | \(-0.729323\pi\) |
0.975451 | − | 0.220218i | \(-0.0706770\pi\) | |||||||
\(572\) | −7.73584 | + | 23.8085i | −0.323452 | + | 0.995482i | ||||
\(573\) | −3.47626 | + | 2.52565i | −0.145223 | + | 0.105511i | ||||
\(574\) | −1.21785 | −0.0508322 | ||||||||
\(575\) | −6.11247 | + | 7.45029i | −0.254908 | + | 0.310699i | ||||
\(576\) | 1.71733 | 0.0715555 | ||||||||
\(577\) | 27.5768 | − | 20.0358i | 1.14804 | − | 0.834099i | 0.159820 | − | 0.987146i | \(-0.448909\pi\) |
0.988219 | + | 0.153047i | \(0.0489086\pi\) | |||||||
\(578\) | 5.11618 | − | 15.7460i | 0.212805 | − | 0.654947i | ||||
\(579\) | −9.91230 | + | 30.5069i | −0.411941 | + | 1.26782i | ||||
\(580\) | −8.66542 | + | 15.8387i | −0.359812 | + | 0.657665i | ||||
\(581\) | 3.70932 | + | 11.4161i | 0.153889 | + | 0.473621i | ||||
\(582\) | −7.56137 | −0.313429 | ||||||||
\(583\) | −20.0631 | − | 61.7479i | −0.830929 | − | 2.55734i | ||||
\(584\) | −0.439142 | − | 0.319055i | −0.0181718 | − | 0.0132026i | ||||
\(585\) | −17.3917 | + | 8.22721i | −0.719058 | + | 0.340153i | ||||
\(586\) | 23.3327 | − | 16.9522i | 0.963867 | − | 0.700290i | ||||
\(587\) | −7.42758 | − | 5.39646i | −0.306569 | − | 0.222736i | 0.423854 | − | 0.905731i | \(-0.360677\pi\) |
−0.730423 | + | 0.682995i | \(0.760677\pi\) | |||||||
\(588\) | −1.75714 | − | 1.27664i | −0.0724631 | − | 0.0526476i | ||||
\(589\) | −9.48617 | + | 6.89211i | −0.390871 | + | 0.283984i | ||||
\(590\) | 2.84168 | + | 22.1316i | 0.116990 | + | 0.911143i | ||||
\(591\) | 2.48660 | + | 1.80662i | 0.102285 | + | 0.0743143i | ||||
\(592\) | 2.94949 | + | 9.07759i | 0.121223 | + | 0.373087i | ||||
\(593\) | −26.1434 | −1.07358 | −0.536791 | − | 0.843715i | \(-0.680364\pi\) | ||||
−0.536791 | + | 0.843715i | \(0.680364\pi\) | |||||||
\(594\) | 4.30146 | + | 13.2385i | 0.176491 | + | 0.543183i | ||||
\(595\) | −1.34639 | + | 0.636916i | −0.0551966 | + | 0.0261110i | ||||
\(596\) | −3.48828 | + | 10.7358i | −0.142885 | + | 0.439756i | ||||
\(597\) | 0.874380 | − | 2.69107i | 0.0357860 | − | 0.110138i | ||||
\(598\) | 7.81229 | − | 5.67596i | 0.319468 | − | 0.232107i | ||||
\(599\) | 24.2404 | 0.990438 | 0.495219 | − | 0.868768i | \(-0.335088\pi\) | ||||
0.495219 | + | 0.868768i | \(0.335088\pi\) | |||||||
\(600\) | 10.5074 | − | 2.74352i | 0.428965 | − | 0.112004i | ||||
\(601\) | 6.92663 | 0.282543 | 0.141271 | − | 0.989971i | \(-0.454881\pi\) | ||||
0.141271 | + | 0.989971i | \(0.454881\pi\) | |||||||
\(602\) | 7.12971 | − | 5.18004i | 0.290585 | − | 0.211123i | ||||
\(603\) | 1.08730 | − | 3.34637i | 0.0442784 | − | 0.136275i | ||||
\(604\) | 0.0807055 | − | 0.248386i | 0.00328386 | − | 0.0101067i | ||||
\(605\) | −30.6866 | − | 5.78904i | −1.24759 | − | 0.235358i | ||||
\(606\) | −4.01512 | − | 12.3573i | −0.163103 | − | 0.501979i | ||||
\(607\) | −36.9449 | −1.49955 | −0.749774 | − | 0.661694i | \(-0.769838\pi\) | ||||
−0.749774 | + | 0.661694i | \(0.769838\pi\) | |||||||
\(608\) | −1.26984 | − | 3.90816i | −0.0514987 | − | 0.158497i | ||||
\(609\) | −14.1873 | − | 10.3076i | −0.574897 | − | 0.417687i | ||||
\(610\) | −22.7212 | − | 4.28636i | −0.919954 | − | 0.173550i | ||||
\(611\) | −22.1745 | + | 16.1107i | −0.897083 | + | 0.651769i | ||||
\(612\) | 0.925442 | + | 0.672373i | 0.0374088 | + | 0.0271791i | ||||
\(613\) | −12.8016 | − | 9.30089i | −0.517051 | − | 0.375660i | 0.298441 | − | 0.954428i | \(-0.403533\pi\) |
−0.815492 | + | 0.578769i | \(0.803533\pi\) | |||||||
\(614\) | 20.3763 | − | 14.8042i | 0.822319 | − | 0.597450i | ||||
\(615\) | 4.05762 | + | 4.30333i | 0.163619 | + | 0.173527i | ||||
\(616\) | 4.04230 | + | 2.93690i | 0.162869 | + | 0.118331i | ||||
\(617\) | −3.68388 | − | 11.3378i | −0.148308 | − | 0.456444i | 0.849114 | − | 0.528210i | \(-0.177137\pi\) |
−0.997421 | + | 0.0717660i | \(0.977137\pi\) | |||||||
\(618\) | 33.7215 | 1.35648 | ||||||||
\(619\) | −8.83935 | − | 27.2047i | −0.355283 | − | 1.09345i | −0.955845 | − | 0.293871i | \(-0.905056\pi\) |
0.600562 | − | 0.799579i | \(-0.294944\pi\) | |||||||
\(620\) | −0.812576 | − | 6.32852i | −0.0326338 | − | 0.254159i | ||||
\(621\) | 1.65925 | − | 5.10664i | 0.0665833 | − | 0.204922i | ||||
\(622\) | −6.40937 | + | 19.7260i | −0.256992 | + | 0.790941i | ||||
\(623\) | −3.67873 | + | 2.67275i | −0.147385 | + | 0.107082i | ||||
\(624\) | −10.8819 | −0.435623 | ||||||||
\(625\) | 21.8088 | − | 12.2219i | 0.872353 | − | 0.488876i | ||||
\(626\) | 25.9132 | 1.03570 | ||||||||
\(627\) | −36.0779 | + | 26.2122i | −1.44081 | + | 1.04681i | ||||
\(628\) | 5.28869 | − | 16.2769i | 0.211042 | − | 0.649519i | ||||
\(629\) | −1.96465 | + | 6.04656i | −0.0783356 | + | 0.241092i | ||||
\(630\) | 0.489046 | + | 3.80880i | 0.0194841 | + | 0.151746i | ||||
\(631\) | 3.03605 | + | 9.34399i | 0.120863 | + | 0.371979i | 0.993125 | − | 0.117061i | \(-0.0373473\pi\) |
−0.872262 | + | 0.489040i | \(0.837347\pi\) | |||||||
\(632\) | 11.3166 | 0.450151 | ||||||||
\(633\) | 6.58433 | + | 20.2645i | 0.261704 | + | 0.805441i | ||||
\(634\) | 23.2913 | + | 16.9221i | 0.925017 | + | 0.672064i | ||||
\(635\) | 34.1309 | + | 36.1977i | 1.35444 | + | 1.43646i | ||||
\(636\) | 22.8324 | − | 16.5887i | 0.905363 | − | 0.657785i | ||||
\(637\) | 4.05333 | + | 2.94492i | 0.160599 | + | 0.116682i | ||||
\(638\) | 32.6378 | + | 23.7127i | 1.29214 | + | 0.938796i | ||||
\(639\) | −2.69697 | + | 1.95947i | −0.106691 | + | 0.0775153i | ||||
\(640\) | 2.19731 | + | 0.414523i | 0.0868563 | + | 0.0163855i | ||||
\(641\) | 20.9909 | + | 15.2508i | 0.829091 | + | 0.602370i | 0.919302 | − | 0.393553i | \(-0.128754\pi\) |
−0.0902108 | + | 0.995923i | \(0.528754\pi\) | |||||||
\(642\) | −2.09356 | − | 6.44331i | −0.0826262 | − | 0.254297i | ||||
\(643\) | 9.24487 | 0.364582 | 0.182291 | − | 0.983245i | \(-0.441649\pi\) | ||||
0.182291 | + | 0.983245i | \(0.441649\pi\) | |||||||
\(644\) | −0.595591 | − | 1.83304i | −0.0234696 | − | 0.0722319i | ||||
\(645\) | −42.0585 | − | 7.93435i | −1.65605 | − | 0.312415i | ||||
\(646\) | 0.845835 | − | 2.60321i | 0.0332789 | − | 0.102422i | ||||
\(647\) | −5.24469 | + | 16.1415i | −0.206190 | + | 0.634588i | 0.793472 | + | 0.608606i | \(0.208271\pi\) |
−0.999662 | + | 0.0259814i | \(0.991729\pi\) | |||||||
\(648\) | −9.06323 | + | 6.58482i | −0.356037 | + | 0.258676i | ||||
\(649\) | 49.8596 | 1.95716 | ||||||||
\(650\) | −24.2384 | + | 6.32871i | −0.950707 | + | 0.248232i | ||||
\(651\) | 6.19749 | 0.242899 | ||||||||
\(652\) | −12.7783 | + | 9.28396i | −0.500436 | + | 0.363588i | ||||
\(653\) | −15.4016 | + | 47.4012i | −0.602710 | + | 1.85495i | −0.0908837 | + | 0.995862i | \(0.528969\pi\) |
−0.511826 | + | 0.859089i | \(0.671031\pi\) | |||||||
\(654\) | 1.42380 | − | 4.38201i | 0.0556750 | − | 0.171350i | ||||
\(655\) | 4.65944 | − | 2.20417i | 0.182059 | − | 0.0861239i | ||||
\(656\) | 0.376337 | + | 1.15825i | 0.0146935 | + | 0.0452219i | ||||
\(657\) | −0.932184 | −0.0363679 | ||||||||
\(658\) | 1.69053 | + | 5.20292i | 0.0659038 | + | 0.202831i | ||||
\(659\) | −21.3984 | − | 15.5469i | −0.833565 | − | 0.605620i | 0.0870008 | − | 0.996208i | \(-0.472272\pi\) |
−0.920566 | + | 0.390588i | \(0.872272\pi\) | |||||||
\(660\) | −3.09040 | − | 24.0687i | −0.120294 | − | 0.936873i | ||||
\(661\) | 38.5288 | − | 27.9928i | 1.49860 | − | 1.08880i | 0.527663 | − | 0.849454i | \(-0.323068\pi\) |
0.970935 | − | 0.239341i | \(-0.0769315\pi\) | |||||||
\(662\) | 16.8277 | + | 12.2261i | 0.654028 | + | 0.475179i | ||||
\(663\) | −5.86406 | − | 4.26049i | −0.227741 | − | 0.165464i | ||||
\(664\) | 9.71114 | − | 7.05555i | 0.376865 | − | 0.273809i | ||||
\(665\) | 8.30613 | − | 3.92925i | 0.322098 | − | 0.152370i | ||||
\(666\) | 13.2610 | + | 9.63467i | 0.513853 | + | 0.373336i | ||||
\(667\) | −4.80885 | − | 14.8001i | −0.186199 | − | 0.573062i | ||||
\(668\) | −5.97763 | −0.231281 | ||||||||
\(669\) | −4.39925 | − | 13.5395i | −0.170085 | − | 0.523467i | ||||
\(670\) | 2.19893 | − | 4.01920i | 0.0849520 | − | 0.155275i | ||||
\(671\) | −15.9659 | + | 49.1379i | −0.616355 | + | 1.89695i | ||||
\(672\) | −0.671167 | + | 2.06564i | −0.0258908 | + | 0.0796838i | ||||
\(673\) | −10.8066 | + | 7.85148i | −0.416565 | + | 0.302652i | −0.776254 | − | 0.630420i | \(-0.782883\pi\) |
0.359689 | + | 0.933072i | \(0.382883\pi\) | |||||||
\(674\) | 17.4235 | 0.671130 | ||||||||
\(675\) | −8.83515 | + | 10.7689i | −0.340065 | + | 0.414494i | ||||
\(676\) | 12.1020 | 0.465463 | ||||||||
\(677\) | 16.3610 | − | 11.8869i | 0.628804 | − | 0.456853i | −0.227182 | − | 0.973852i | \(-0.572951\pi\) |
0.855986 | + | 0.517000i | \(0.172951\pi\) | |||||||
\(678\) | 3.52575 | − | 10.8511i | 0.135406 | − | 0.416735i | ||||
\(679\) | 1.07581 | − | 3.31099i | 0.0412857 | − | 0.127064i | ||||
\(680\) | 1.02180 | + | 1.08368i | 0.0391842 | + | 0.0415571i | ||||
\(681\) | 1.43489 | + | 4.41614i | 0.0549852 | + | 0.169227i | ||||
\(682\) | −14.2573 | −0.545941 | ||||||||
\(683\) | 5.18428 | + | 15.9556i | 0.198371 | + | 0.610523i | 0.999921 | + | 0.0125948i | \(0.00400917\pi\) |
−0.801550 | + | 0.597928i | \(0.795991\pi\) | |||||||
\(684\) | −5.70922 | − | 4.14799i | −0.218298 | − | 0.158603i | ||||
\(685\) | −23.2647 | + | 42.5232i | −0.888898 | + | 1.62473i | ||||
\(686\) | 0.809017 | − | 0.587785i | 0.0308884 | − | 0.0224417i | ||||
\(687\) | 8.38903 | + | 6.09499i | 0.320061 | + | 0.232538i | ||||
\(688\) | −7.12971 | − | 5.18004i | −0.271818 | − | 0.197487i | ||||
\(689\) | −52.6693 | + | 38.2665i | −2.00654 | + | 1.45784i | ||||
\(690\) | −4.49274 | + | 8.21184i | −0.171036 | + | 0.312619i | ||||
\(691\) | −15.7563 | − | 11.4476i | −0.599396 | − | 0.435487i | 0.246268 | − | 0.969202i | \(-0.420796\pi\) |
−0.845665 | + | 0.533715i | \(0.820796\pi\) | |||||||
\(692\) | −7.23995 | − | 22.2823i | −0.275222 | − | 0.847046i | ||||
\(693\) | 8.58073 | 0.325955 | ||||||||
\(694\) | 4.31612 | + | 13.2836i | 0.163838 | + | 0.504240i | ||||
\(695\) | 2.22606 | + | 2.36086i | 0.0844393 | + | 0.0895526i | ||||
\(696\) | −5.41905 | + | 16.6781i | −0.205409 | + | 0.632182i | ||||
\(697\) | −0.250677 | + | 0.771505i | −0.00949508 | + | 0.0292228i | ||||
\(698\) | −25.8608 | + | 18.7889i | −0.978844 | + | 0.711172i | ||||
\(699\) | −18.2656 | −0.690869 | ||||||||
\(700\) | −0.293624 | + | 4.99137i | −0.0110979 | + | 0.188656i | ||||
\(701\) | −30.2516 | −1.14259 | −0.571294 | − | 0.820746i | \(-0.693558\pi\) | ||||
−0.571294 | + | 0.820746i | \(0.693558\pi\) | |||||||
\(702\) | 11.2921 | − | 8.20420i | 0.426193 | − | 0.309647i | ||||
\(703\) | 12.1203 | − | 37.3023i | 0.457125 | − | 1.40688i | ||||
\(704\) | 1.54402 | − | 4.75200i | 0.0581924 | − | 0.179098i | ||||
\(705\) | 12.7522 | − | 23.3085i | 0.480277 | − | 0.877851i | ||||
\(706\) | −3.10980 | − | 9.57098i | −0.117039 | − | 0.360209i | ||||
\(707\) | 5.98229 | 0.224987 | ||||||||
\(708\) | 6.69744 | + | 20.6126i | 0.251705 | + | 0.774669i | ||||
\(709\) | 3.20661 | + | 2.32974i | 0.120427 | + | 0.0874952i | 0.646368 | − | 0.763026i | \(-0.276287\pi\) |
−0.525942 | + | 0.850521i | \(0.676287\pi\) | |||||||
\(710\) | −3.92372 | + | 1.85613i | −0.147255 | + | 0.0696595i | ||||
\(711\) | 15.7227 | − | 11.4232i | 0.589649 | − | 0.428405i | ||||
\(712\) | 3.67873 | + | 2.67275i | 0.137866 | + | 0.100166i | ||||
\(713\) | 4.44930 | + | 3.23260i | 0.166627 | + | 0.121062i | ||||
\(714\) | −1.17042 | + | 0.850363i | −0.0438020 | + | 0.0318240i | ||||
\(715\) | 7.12888 | + | 55.5213i | 0.266605 | + | 2.07638i | ||||
\(716\) | −21.0537 | − | 15.2964i | −0.786814 | − | 0.571654i | ||||
\(717\) | 17.5576 | + | 54.0367i | 0.655700 | + | 2.01804i | ||||
\(718\) | 12.3328 | 0.460256 | ||||||||
\(719\) | −13.7392 | − | 42.2849i | −0.512386 | − | 1.57696i | −0.787988 | − | 0.615691i | \(-0.788877\pi\) |
0.275602 | − | 0.961272i | \(-0.411123\pi\) | |||||||
\(720\) | 3.47126 | − | 1.64209i | 0.129366 | − | 0.0611973i | ||||
\(721\) | −4.79779 | + | 14.7661i | −0.178679 | + | 0.549918i | ||||
\(722\) | 0.653212 | − | 2.01038i | 0.0243100 | − | 0.0748185i | ||||
\(723\) | −38.0795 | + | 27.6664i | −1.41619 | + | 1.02892i | ||||
\(724\) | 2.34395 | 0.0871123 | ||||||||
\(725\) | −2.37074 | + | 40.3007i | −0.0880471 | + | 1.49673i | ||||
\(726\) | −30.3323 | −1.12574 | ||||||||
\(727\) | −35.2543 | + | 25.6137i | −1.30751 | + | 0.949961i | −0.999999 | − | 0.00158434i | \(-0.999496\pi\) |
−0.307510 | + | 0.951545i | \(0.599496\pi\) | |||||||
\(728\) | 1.54824 | − | 4.76498i | 0.0573814 | − | 0.176602i | ||||
\(729\) | −0.335758 | + | 1.03336i | −0.0124355 | + | 0.0382725i | ||||
\(730\) | −1.19272 | − | 0.225007i | −0.0441446 | − | 0.00832789i | ||||
\(731\) | −1.81399 | − | 5.58288i | −0.0670928 | − | 0.206490i | ||||
\(732\) | −22.4589 | −0.830104 | ||||||||
\(733\) | 14.1629 | + | 43.5890i | 0.523120 | + | 1.61000i | 0.768005 | + | 0.640444i | \(0.221250\pi\) |
−0.244885 | + | 0.969552i | \(0.578750\pi\) | |||||||
\(734\) | −9.22463 | − | 6.70209i | −0.340487 | − | 0.247379i | ||||
\(735\) | −4.77243 | − | 0.900320i | −0.176034 | − | 0.0332088i | ||||
\(736\) | −1.55928 | + | 1.13288i | −0.0574757 | + | 0.0417586i | ||||
\(737\) | −8.28213 | − | 6.01732i | −0.305076 | − | 0.221651i | ||||
\(738\) | 1.69202 | + | 1.22933i | 0.0622843 | + | 0.0452522i | ||||
\(739\) | −8.71212 | + | 6.32973i | −0.320481 | + | 0.232843i | −0.736381 | − | 0.676568i | \(-0.763467\pi\) |
0.415900 | + | 0.909410i | \(0.363467\pi\) | |||||||
\(740\) | 14.6417 | + | 15.5284i | 0.538241 | + | 0.570834i | ||||
\(741\) | 36.1764 | + | 26.2837i | 1.32897 | + | 0.965557i | ||||
\(742\) | 4.01539 | + | 12.3581i | 0.147410 | + | 0.453680i | ||||
\(743\) | 11.2231 | 0.411737 | 0.205868 | − | 0.978580i | \(-0.433998\pi\) | ||||
0.205868 | + | 0.978580i | \(0.433998\pi\) | |||||||
\(744\) | −1.91513 | − | 5.89416i | −0.0702121 | − | 0.216091i | ||||
\(745\) | 3.21458 | + | 25.0359i | 0.117773 | + | 0.917244i | ||||
\(746\) | −1.16178 | + | 3.57560i | −0.0425360 | + | 0.130912i | ||||
\(747\) | 6.37014 | − | 19.6053i | 0.233071 | − | 0.717319i | ||||
\(748\) | 2.69256 | − | 1.95626i | 0.0984498 | − | 0.0715280i | ||||
\(749\) | 3.11928 | 0.113976 | ||||||||
\(750\) | 18.6155 | − | 15.5926i | 0.679742 | − | 0.569362i | ||||
\(751\) | 21.2318 | 0.774761 | 0.387380 | − | 0.921920i | \(-0.373380\pi\) | ||||
0.387380 | + | 0.921920i | \(0.373380\pi\) | |||||||
\(752\) | 4.42587 | − | 3.21558i | 0.161395 | − | 0.117260i | ||||
\(753\) | −4.49118 | + | 13.8224i | −0.163668 | + | 0.503717i | ||||
\(754\) | 12.5006 | − | 38.4728i | 0.455244 | − | 1.40110i | ||||
\(755\) | −0.0743733 | − | 0.579235i | −0.00270672 | − | 0.0210805i | ||||
\(756\) | −0.860885 | − | 2.64953i | −0.0313101 | − | 0.0963625i | ||||
\(757\) | 32.7501 | 1.19032 | 0.595161 | − | 0.803607i | \(-0.297088\pi\) | ||||
0.595161 | + | 0.803607i | \(0.297088\pi\) | |||||||
\(758\) | −4.31010 | − | 13.2651i | −0.156550 | − | 0.481811i | ||||
\(759\) | 16.9216 | + | 12.2943i | 0.614216 | + | 0.446254i | ||||
\(760\) | −6.30367 | − | 6.68539i | −0.228658 | − | 0.242505i | ||||
\(761\) | 9.72256 | − | 7.06385i | 0.352442 | − | 0.256064i | −0.397451 | − | 0.917624i | \(-0.630105\pi\) |
0.749893 | + | 0.661559i | \(0.230105\pi\) | |||||||
\(762\) | 39.0954 | + | 28.4045i | 1.41628 | + | 1.02898i | ||||
\(763\) | 1.71623 | + | 1.24692i | 0.0621318 | + | 0.0451414i | ||||
\(764\) | −1.60053 | + | 1.16286i | −0.0579053 | + | 0.0420706i | ||||
\(765\) | 2.51352 | + | 0.474177i | 0.0908766 | + | 0.0171439i | ||||
\(766\) | 9.79117 | + | 7.11370i | 0.353769 | + | 0.257028i | ||||
\(767\) | −15.4495 | − | 47.5488i | −0.557850 | − | 1.71689i | ||||
\(768\) | 2.17194 | 0.0783732 | ||||||||
\(769\) | 8.87702 | + | 27.3207i | 0.320113 | + | 0.985208i | 0.973598 | + | 0.228268i | \(0.0733063\pi\) |
−0.653485 | + | 0.756940i | \(0.726694\pi\) | |||||||
\(770\) | 10.9790 | + | 2.07119i | 0.395655 | + | 0.0746404i | ||||
\(771\) | −4.27606 | + | 13.1604i | −0.153999 | + | 0.473959i | ||||
\(772\) | −4.56380 | + | 14.0459i | −0.164255 | + | 0.505524i | ||||
\(773\) | 13.4872 | − | 9.79900i | 0.485100 | − | 0.352445i | −0.318197 | − | 0.948025i | \(-0.603077\pi\) |
0.803297 | + | 0.595579i | \(0.203077\pi\) | |||||||
\(774\) | −15.1345 | −0.543999 | ||||||||
\(775\) | −7.69373 | − | 12.0149i | −0.276367 | − | 0.431589i | ||||
\(776\) | −3.48139 | −0.124974 | ||||||||
\(777\) | −16.7714 | + | 12.1852i | −0.601672 | + | 0.437140i | ||||
\(778\) | −4.86682 | + | 14.9785i | −0.174484 | + | 0.537006i | ||||
\(779\) | 1.54647 | − | 4.75956i | 0.0554082 | − | 0.170529i | ||||
\(780\) | −21.9956 | + | 10.4051i | −0.787569 | + | 0.372563i | ||||
\(781\) | 2.99721 | + | 9.22448i | 0.107249 | + | 0.330078i | ||||
\(782\) | −1.28382 | −0.0459092 | ||||||||
\(783\) | −6.95085 | − | 21.3925i | −0.248403 | − | 0.764506i | ||||
\(784\) | −0.809017 | − | 0.587785i | −0.0288935 | − | 0.0209923i | ||||
\(785\) | −4.87373 | − | 37.9577i | −0.173951 | − | 1.35477i | ||||
\(786\) | 4.05047 | − | 2.94284i | 0.144476 | − | 0.104968i | ||||
\(787\) | −8.52329 | − | 6.19253i | −0.303823 | − | 0.220740i | 0.425419 | − | 0.904997i | \(-0.360127\pi\) |
−0.729241 | + | 0.684257i | \(0.760127\pi\) | |||||||
\(788\) | 1.14487 | + | 0.831799i | 0.0407844 | + | 0.0296316i | ||||
\(789\) | 23.3117 | − | 16.9370i | 0.829919 | − | 0.602972i | ||||
\(790\) | 22.8744 | − | 10.8208i | 0.813835 | − | 0.384988i | ||||
\(791\) | 4.24990 | + | 3.08773i | 0.151109 | + | 0.109787i | ||||
\(792\) | −2.65159 | − | 8.16076i | −0.0942202 | − | 0.289980i | ||||
\(793\) | 51.8077 | 1.83975 | ||||||||
\(794\) | −0.296903 | − | 0.913772i | −0.0105367 | − | 0.0324286i | ||||
\(795\) | 30.2894 | − | 55.3630i | 1.07425 | − | 1.96352i | ||||
\(796\) | 0.402580 | − | 1.23901i | 0.0142691 | − | 0.0439157i | ||||
\(797\) | −12.5275 | + | 38.5557i | −0.443748 | + | 1.36571i | 0.440104 | + | 0.897947i | \(0.354942\pi\) |
−0.883851 | + | 0.467768i | \(0.845058\pi\) | |||||||
\(798\) | 7.22057 | − | 5.24605i | 0.255605 | − | 0.185708i | ||||
\(799\) | 3.64400 | 0.128915 | ||||||||
\(800\) | 4.83781 | − | 1.26317i | 0.171042 | − | 0.0446596i | ||||
\(801\) | 7.80898 | 0.275917 | ||||||||
\(802\) | −11.8092 | + | 8.57988i | −0.416997 | + | 0.302966i | ||||
\(803\) | −0.838109 | + | 2.57943i | −0.0295762 | + | 0.0910262i | ||||
\(804\) | 1.37513 | − | 4.23222i | 0.0484972 | − | 0.149259i | ||||
\(805\) | −2.95661 | − | 3.13565i | −0.104207 | − | 0.110517i | ||||
\(806\) | 4.41779 | + | 13.5965i | 0.155610 | + | 0.478918i | ||||
\(807\) | −4.14452 | −0.145894 | ||||||||
\(808\) | −1.84863 | − | 5.68950i | −0.0650346 | − | 0.200156i | ||||
\(809\) | 39.7941 | + | 28.9121i | 1.39908 | + | 1.01649i | 0.994799 | + | 0.101862i | \(0.0324799\pi\) |
0.404286 | + | 0.914633i | \(0.367520\pi\) | |||||||
\(810\) | −12.0233 | + | 21.9761i | −0.422455 | + | 0.772163i | ||||
\(811\) | 1.80882 | − | 1.31418i | 0.0635162 | − | 0.0461472i | −0.555574 | − | 0.831467i | \(-0.687501\pi\) |
0.619090 | + | 0.785320i | \(0.287501\pi\) | |||||||
\(812\) | −6.53206 | − | 4.74582i | −0.229230 | − | 0.166546i | ||||
\(813\) | −22.5966 | − | 16.4174i | −0.792498 | − | 0.575784i | ||||
\(814\) | 38.5827 | − | 28.0320i | 1.35232 | − | 0.982520i | ||||
\(815\) | −16.9516 | + | 30.9842i | −0.593790 | + | 1.08533i | ||||
\(816\) | 1.17042 | + | 0.850363i | 0.0409731 | + | 0.0297687i | ||||
\(817\) | 11.1908 | + | 34.4418i | 0.391517 | + | 1.20497i | ||||
\(818\) | −1.70864 | −0.0597412 | ||||||||
\(819\) | −2.65883 | − | 8.18304i | −0.0929071 | − | 0.285939i | ||||
\(820\) | 1.86820 | + | 1.98133i | 0.0652403 | + | 0.0691910i | ||||
\(821\) | −8.90022 | + | 27.3921i | −0.310620 | + | 0.955989i | 0.666900 | + | 0.745147i | \(0.267621\pi\) |
−0.977520 | + | 0.210842i | \(0.932379\pi\) | |||||||
\(822\) | −14.5489 | + | 44.7769i | −0.507451 | + | 1.56177i | ||||
\(823\) | 42.6616 | − | 30.9955i | 1.48709 | − | 1.08043i | 0.511905 | − | 0.859042i | \(-0.328940\pi\) |
0.975185 | − | 0.221393i | \(-0.0710602\pi\) | |||||||
\(824\) | 15.5260 | 0.540873 | ||||||||
\(825\) | −29.2609 | − | 45.6954i | −1.01873 | − | 1.59091i | ||||
\(826\) | −9.97880 | −0.347207 | ||||||||
\(827\) | −11.7904 | + | 8.56620i | −0.409991 | + | 0.297876i | −0.773598 | − | 0.633677i | \(-0.781545\pi\) |
0.363607 | + | 0.931552i | \(0.381545\pi\) | |||||||
\(828\) | −1.02283 | + | 3.14794i | −0.0355457 | + | 0.109398i | ||||
\(829\) | 6.50374 | − | 20.0165i | 0.225884 | − | 0.695201i | −0.772316 | − | 0.635238i | \(-0.780902\pi\) |
0.998201 | − | 0.0599624i | \(-0.0190981\pi\) | |||||||
\(830\) | 12.8828 | − | 23.5472i | 0.447168 | − | 0.817334i | ||||
\(831\) | 9.80130 | + | 30.1653i | 0.340003 | + | 1.04642i | ||||
\(832\) | −5.01019 | −0.173697 | ||||||||
\(833\) | −0.205835 | − | 0.633496i | −0.00713177 | − | 0.0219493i | ||||
\(834\) | 2.54985 | + | 1.85257i | 0.0882941 | + | 0.0641494i | ||||
\(835\) | −12.0826 | + | 5.71575i | −0.418137 | + | 0.197802i | ||||
\(836\) | −16.6109 | + | 12.0685i | −0.574501 | + | 0.417399i | ||||
\(837\) | 6.43114 | + | 4.67250i | 0.222293 | + | 0.161505i | ||||
\(838\) | −11.0517 | − | 8.02956i | −0.381776 | − | 0.277376i | ||||
\(839\) | 14.9131 | − | 10.8350i | 0.514858 | − | 0.374066i | −0.299805 | − | 0.954000i | \(-0.596922\pi\) |
0.814663 | + | 0.579934i | \(0.196922\pi\) | |||||||
\(840\) | 0.618506 | + | 4.81706i | 0.0213405 | + | 0.166204i | ||||
\(841\) | −29.2788 | − | 21.2723i | −1.00961 | − | 0.733528i | ||||
\(842\) | −1.76632 | − | 5.43616i | −0.0608712 | − | 0.187342i | ||||
\(843\) | −51.7660 | −1.78292 | ||||||||
\(844\) | 3.03154 | + | 9.33013i | 0.104350 | + | 0.321156i | ||||
\(845\) | 24.4620 | − | 11.5719i | 0.841519 | − | 0.398084i | ||||
\(846\) | 2.90320 | − | 8.93514i | 0.0998141 | − | 0.307196i | ||||
\(847\) | 4.31559 | − | 13.2820i | 0.148285 | − | 0.456376i | ||||
\(848\) | 10.5124 | − | 7.63773i | 0.360998 | − | 0.262281i | ||||
\(849\) | 6.44047 | 0.221037 | ||||||||
\(850\) | 3.10158 | + | 1.21341i | 0.106383 | + | 0.0416196i | ||||
\(851\) | −18.3963 | −0.630617 | ||||||||
\(852\) | −3.41091 | + | 2.47817i | −0.116856 | + | 0.0849009i | ||||
\(853\) | 16.3966 | − | 50.4635i | 0.561408 | − | 1.72784i | −0.116982 | − | 0.993134i | \(-0.537322\pi\) |
0.678390 | − | 0.734702i | \(-0.262678\pi\) | |||||||
\(854\) | 3.19538 | − | 9.83436i | 0.109344 | − | 0.336525i | ||||
\(855\) | −15.5064 | − | 2.92529i | −0.530307 | − | 0.100043i | ||||
\(856\) | −0.963911 | − | 2.96661i | −0.0329458 | − | 0.101397i | ||||
\(857\) | 3.71994 | 0.127071 | 0.0635353 | − | 0.997980i | \(-0.479762\pi\) | ||||
0.0635353 | + | 0.997980i | \(0.479762\pi\) | |||||||
\(858\) | 16.8018 | + | 51.7106i | 0.573604 | + | 1.76537i | ||||
\(859\) | −29.3667 | − | 21.3362i | −1.00198 | − | 0.727981i | −0.0394679 | − | 0.999221i | \(-0.512566\pi\) |
−0.962512 | + | 0.271240i | \(0.912566\pi\) | |||||||
\(860\) | −19.3645 | − | 3.65311i | −0.660323 | − | 0.124570i | ||||
\(861\) | −2.13994 | + | 1.55475i | −0.0729288 | + | 0.0529859i | ||||
\(862\) | −9.15396 | − | 6.65074i | −0.311785 | − | 0.226525i | ||||
\(863\) | 26.6287 | + | 19.3469i | 0.906452 | + | 0.658576i | 0.940115 | − | 0.340857i | \(-0.110717\pi\) |
−0.0336631 | + | 0.999433i | \(0.510717\pi\) | |||||||
\(864\) | −2.25383 | + | 1.63750i | −0.0766767 | + | 0.0557089i | ||||
\(865\) | −35.9403 | − | 38.1167i | −1.22201 | − | 1.29601i | ||||
\(866\) | −23.7906 | − | 17.2849i | −0.808438 | − | 0.587364i | ||||
\(867\) | −11.1121 | − | 34.1994i | −0.377385 | − | 1.16147i | ||||
\(868\) | 2.85343 | 0.0968518 | ||||||||
\(869\) | −17.4731 | − | 53.7766i | −0.592734 | − | 1.82425i | ||||
\(870\) | 4.99386 | + | 38.8933i | 0.169308 | + | 1.31861i | ||||
\(871\) | −3.17213 | + | 9.76281i | −0.107484 | + | 0.330800i | ||||
\(872\) | 0.655543 | − | 2.01755i | 0.0221995 | − | 0.0683230i | ||||
\(873\) | −4.83686 | + | 3.51419i | −0.163703 | + | 0.118937i | ||||
\(874\) | 7.92011 | 0.267902 | ||||||||
\(875\) | 4.17919 | + | 10.3699i | 0.141283 | + | 0.350566i | ||||
\(876\) | −1.17895 | −0.0398331 | ||||||||
\(877\) | 24.3907 | − | 17.7209i | 0.823615 | − | 0.598391i | −0.0941309 | − | 0.995560i | \(-0.530007\pi\) |
0.917746 | + | 0.397169i | \(0.130007\pi\) | |||||||
\(878\) | −11.9910 | + | 36.9047i | −0.404678 | + | 1.24547i | ||||
\(879\) | 19.3570 | − | 59.5748i | 0.652897 | − | 2.00941i | ||||
\(880\) | −1.42287 | − | 11.0817i | −0.0479651 | − | 0.373563i | ||||
\(881\) | 10.8978 | + | 33.5400i | 0.367157 | + | 1.12999i | 0.948619 | + | 0.316419i | \(0.102481\pi\) |
−0.581463 | + | 0.813573i | \(0.697519\pi\) | |||||||
\(882\) | −1.71733 | −0.0578255 | ||||||||
\(883\) | 9.53699 | + | 29.3518i | 0.320945 | + | 0.987768i | 0.973238 | + | 0.229801i | \(0.0738075\pi\) |
−0.652292 | + | 0.757968i | \(0.726193\pi\) | |||||||
\(884\) | −2.69991 | − | 1.96160i | −0.0908079 | − | 0.0659758i | ||||
\(885\) | 33.2472 | + | 35.2605i | 1.11759 | + | 1.18527i | ||||
\(886\) | 13.9238 | − | 10.1162i | 0.467779 | − | 0.339861i | ||||
\(887\) | 7.06092 | + | 5.13006i | 0.237082 | + | 0.172250i | 0.699982 | − | 0.714160i | \(-0.253191\pi\) |
−0.462900 | + | 0.886410i | \(0.653191\pi\) | |||||||
\(888\) | 16.7714 | + | 12.1852i | 0.562812 | + | 0.408907i | ||||
\(889\) | −18.0002 | + | 13.0779i | −0.603707 | + | 0.438619i | ||||
\(890\) | 9.99152 | + | 1.88490i | 0.334917 | + | 0.0631821i | ||||
\(891\) | 45.2849 | + | 32.9014i | 1.51710 | + | 1.10224i | ||||
\(892\) | −2.02549 | − | 6.23382i | −0.0678184 | − | 0.208724i | ||||
\(893\) | −22.4805 | −0.752282 | ||||||||
\(894\) | 7.57633 | + | 23.3176i | 0.253391 | + | 0.779856i | ||||
\(895\) | −57.1824 | − | 10.7875i | −1.91140 | − | 0.360586i | ||||
\(896\) | −0.309017 | + | 0.951057i | −0.0103235 | + | 0.0317726i | ||||
\(897\) | 6.48113 | − | 19.9469i | 0.216399 | − | 0.666007i | ||||
\(898\) | −5.31886 | + | 3.86438i | −0.177493 | + | 0.128956i | ||||
\(899\) | 23.0388 | 0.768388 | ||||||||
\(900\) | 5.44635 | − | 6.63837i | 0.181545 | − | 0.221279i | ||||
\(901\) | 8.65532 | 0.288351 | ||||||||
\(902\) | 4.92292 | − | 3.57671i | 0.163915 | − | 0.119091i | ||||
\(903\) | 5.91486 | − | 18.2041i | 0.196834 | − | 0.605794i | ||||
\(904\) | 1.62332 | − | 4.99605i | 0.0539907 | − | 0.166166i | ||||
\(905\) | 4.73786 | − | 2.24126i | 0.157492 | − | 0.0745021i | ||||
\(906\) | −0.175288 | − | 0.539480i | −0.00582354 | − | 0.0179230i | ||||
\(907\) | −34.1478 | −1.13386 | −0.566929 | − | 0.823767i | \(-0.691869\pi\) | ||||
−0.566929 | + | 0.823767i | \(0.691869\pi\) | |||||||
\(908\) | 0.660649 | + | 2.03327i | 0.0219244 | + | 0.0674764i | ||||
\(909\) | −8.31150 | − | 6.03866i | −0.275675 | − | 0.200290i | ||||
\(910\) | −1.42676 | − | 11.1119i | −0.0472966 | − | 0.368356i | ||||
\(911\) | 24.4100 | − | 17.7349i | 0.808738 | − | 0.587583i | −0.104726 | − | 0.994501i | \(-0.533397\pi\) |
0.913465 | + | 0.406918i | \(0.133397\pi\) | |||||||
\(912\) | −7.22057 | − | 5.24605i | −0.239097 | − | 0.173714i | ||||
\(913\) | −48.5222 | − | 35.2534i | −1.60585 | − | 1.16672i | ||||
\(914\) | 3.02763 | − | 2.19970i | 0.100145 | − | 0.0727596i | ||||
\(915\) | −45.3964 | + | 21.4749i | −1.50076 | + | 0.709940i | ||||
\(916\) | 3.86246 | + | 2.80624i | 0.127619 | + | 0.0927207i | ||||
\(917\) | 0.712332 | + | 2.19233i | 0.0235233 | + | 0.0723972i | ||||
\(918\) | −1.85567 | −0.0612462 | ||||||||
\(919\) | −17.5693 | − | 54.0729i | −0.579559 | − | 1.78370i | −0.620101 | − | 0.784522i | \(-0.712908\pi\) |
0.0405413 | − | 0.999178i | \(-0.487092\pi\) | |||||||
\(920\) | −2.06854 | + | 3.78087i | −0.0681976 | + | 0.124652i | ||||
\(921\) | 16.9043 | − | 52.0261i | 0.557016 | − | 1.71432i | ||||
\(922\) | 8.76333 | − | 26.9708i | 0.288605 | − | 0.888235i | ||||
\(923\) | 7.86823 | − | 5.71661i | 0.258986 | − | 0.188164i | ||||
\(924\) | 10.8522 | 0.357012 | ||||||||
\(925\) | 44.4436 | + | 17.3874i | 1.46130 | + | 0.571694i | ||||
\(926\) | −35.6251 | −1.17071 | ||||||||
\(927\) | 21.5710 | − | 15.6723i | 0.708485 | − | 0.514745i | ||||
\(928\) | −2.49503 | + | 7.67890i | −0.0819032 | + | 0.252072i | ||||
\(929\) | −11.8201 | + | 36.3785i | −0.387805 | + | 1.19354i | 0.546621 | + | 0.837380i | \(0.315914\pi\) |
−0.934425 | + | 0.356159i | \(0.884086\pi\) | |||||||
\(930\) | −9.50702 | − | 10.0827i | −0.311747 | − | 0.330625i | ||||
\(931\) | 1.26984 | + | 3.90816i | 0.0416172 | + | 0.128085i | ||||
\(932\) | −8.40981 | −0.275472 | ||||||||
\(933\) | 13.9208 | + | 42.8438i | 0.455746 | + | 1.40264i | ||||
\(934\) | −26.2094 | − | 19.0423i | −0.857598 | − | 0.623082i | ||||
\(935\) | 3.57195 | − | 6.52881i | 0.116815 | − | 0.213515i | ||||
\(936\) | −6.96091 | + | 5.05740i | −0.227525 | + | 0.165306i | ||||
\(937\) | −22.7949 | − | 16.5615i | −0.744678 | − | 0.541041i | 0.149494 | − | 0.988763i | \(-0.452235\pi\) |
−0.894173 | + | 0.447722i | \(0.852235\pi\) | |||||||
\(938\) | 1.65757 | + | 1.20429i | 0.0541215 | + | 0.0393216i | ||||
\(939\) | 45.5331 | − | 33.0818i | 1.48592 | − | 1.07958i | ||||
\(940\) | 5.87135 | − | 10.7317i | 0.191502 | − | 0.350028i | ||||
\(941\) | −10.5764 | − | 7.68418i | −0.344780 | − | 0.250497i | 0.401896 | − | 0.915685i | \(-0.368351\pi\) |
−0.746676 | + | 0.665188i | \(0.768351\pi\) | |||||||
\(942\) | −11.4867 | − | 35.3525i | −0.374258 | − | 1.15185i | ||||
\(943\) | −2.34726 | −0.0764372 | ||||||||
\(944\) | 3.08362 | + | 9.49041i | 0.100363 | + | 0.308886i | ||||
\(945\) | −4.27357 | − | 4.53236i | −0.139019 | − | 0.147438i | ||||
\(946\) | −13.6071 | + | 41.8785i | −0.442407 | + | 1.36159i | ||||
\(947\) | 10.0872 | − | 31.0452i | 0.327790 | − | 1.00883i | −0.642376 | − | 0.766390i | \(-0.722051\pi\) |
0.970166 | − | 0.242443i | \(-0.0779487\pi\) | |||||||
\(948\) | 19.8849 | − | 14.4472i | 0.645830 | − | 0.469223i | ||||
\(949\) | 2.71958 | 0.0882814 | ||||||||
\(950\) | −19.1342 | − | 7.48575i | −0.620795 | − | 0.242870i | ||||
\(951\) | 62.5295 | 2.02766 | ||||||||
\(952\) | −0.538884 | + | 0.391522i | −0.0174653 | + | 0.0126893i | ||||
\(953\) | −4.25291 | + | 13.0891i | −0.137765 | + | 0.423998i | −0.996010 | − | 0.0892430i | \(-0.971555\pi\) |
0.858245 | + | 0.513241i | \(0.171555\pi\) | |||||||
\(954\) | 6.89576 | − | 21.2230i | 0.223258 | − | 0.687119i | ||||
\(955\) | −2.12327 | + | 3.88091i | −0.0687073 | + | 0.125583i | ||||
\(956\) | 8.08383 | + | 24.8795i | 0.261450 | + | 0.804659i | ||||
\(957\) | 87.6216 | 2.83240 | ||||||||
\(958\) | −3.32814 | − | 10.2430i | −0.107527 | − | 0.330935i | ||||
\(959\) | −17.5371 | − | 12.7414i | −0.566302 | − | 0.411443i | ||||
\(960\) | 4.39017 | − | 2.07679i | 0.141692 | − | 0.0670281i | ||||
\(961\) | 18.4924 | − | 13.4355i | 0.596530 | − | 0.433405i | ||||
\(962\) | −38.6880 | − | 28.1085i | −1.24735 | − | 0.906254i | ||||
\(963\) | −4.33378 | − | 3.14867i | −0.139654 | − | 0.101465i | ||||
\(964\) | −17.5325 | + | 12.7381i | −0.564683 | + | 0.410267i | ||||
\(965\) | 4.20572 | + | 32.7550i | 0.135387 | + | 1.05442i | ||||
\(966\) | −3.38666 | − | 2.46055i | −0.108964 | − | 0.0791670i | ||||
\(967\) | 7.39636 | + | 22.7637i | 0.237851 | + | 0.732030i | 0.996730 | + | 0.0807990i | \(0.0257472\pi\) |
−0.758879 | + | 0.651231i | \(0.774253\pi\) | |||||||
\(968\) | −13.9655 | −0.448869 | ||||||||
\(969\) | −1.83710 | − | 5.65402i | −0.0590163 | − | 0.181633i | ||||
\(970\) | −7.03696 | + | 3.32887i | −0.225943 | + | 0.106883i | ||||
\(971\) | −7.82527 | + | 24.0837i | −0.251125 | + | 0.772883i | 0.743444 | + | 0.668798i | \(0.233191\pi\) |
−0.994569 | + | 0.104084i | \(0.966809\pi\) | |||||||
\(972\) | −4.93627 | + | 15.1923i | −0.158331 | + | 0.487293i | ||||
\(973\) | −1.17400 | + | 0.852958i | −0.0376366 | + | 0.0273446i | ||||
\(974\) | −0.887277 | −0.0284302 | ||||||||
\(975\) | −34.5107 | + | 42.0640i | −1.10523 | + | 1.34713i | ||||
\(976\) | −10.3405 | −0.330990 | ||||||||
\(977\) | −2.18917 | + | 1.59053i | −0.0700379 | + | 0.0508855i | −0.622253 | − | 0.782816i | \(-0.713783\pi\) |
0.552215 | + | 0.833701i | \(0.313783\pi\) | |||||||
\(978\) | −10.6010 | + | 32.6264i | −0.338981 | + | 1.04328i | ||||
\(979\) | 7.02091 | − | 21.6081i | 0.224389 | − | 0.690599i | ||||
\(980\) | −2.19731 | − | 0.414523i | −0.0701905 | − | 0.0132415i | ||||
\(981\) | −1.12578 | − | 3.46481i | −0.0359435 | − | 0.110623i | ||||
\(982\) | −21.7294 | −0.693414 | ||||||||
\(983\) | 5.47804 | + | 16.8597i | 0.174722 | + | 0.537740i | 0.999621 | − | 0.0275412i | \(-0.00876775\pi\) |
−0.824898 | + | 0.565281i | \(0.808768\pi\) | |||||||
\(984\) | 2.13994 | + | 1.55475i | 0.0682186 | + | 0.0495637i | ||||
\(985\) | 3.10950 | + | 0.586608i | 0.0990770 | + | 0.0186909i | ||||
\(986\) | −4.35099 | + | 3.16118i | −0.138564 | + | 0.100672i | ||||
\(987\) | 9.61273 | + | 6.98406i | 0.305976 | + | 0.222305i | ||||
\(988\) | 16.6563 | + | 12.1015i | 0.529907 | + | 0.385000i | ||||
\(989\) | 13.7416 | − | 9.98387i | 0.436958 | − | 0.317469i | ||||
\(990\) | −13.1629 | − | 13.9600i | −0.418346 | − | 0.443679i | ||||
\(991\) | −9.43944 | − | 6.85815i | −0.299854 | − | 0.217856i | 0.427677 | − | 0.903932i | \(-0.359332\pi\) |
−0.727531 | + | 0.686075i | \(0.759332\pi\) | |||||||
\(992\) | −0.881759 | − | 2.71378i | −0.0279959 | − | 0.0861625i | ||||
\(993\) | 45.1768 | 1.43364 | ||||||||
\(994\) | −0.599857 | − | 1.84617i | −0.0190263 | − | 0.0585569i | ||||
\(995\) | −0.370993 | − | 2.88938i | −0.0117613 | − | 0.0915994i | ||||
\(996\) | 8.05644 | − | 24.7952i | 0.255278 | − | 0.785665i | ||||
\(997\) | 6.24357 | − | 19.2157i | 0.197736 | − | 0.608568i | −0.802198 | − | 0.597058i | \(-0.796336\pi\) |
0.999934 | − | 0.0115099i | \(-0.00366380\pi\) | |||||||
\(998\) | 22.4021 | − | 16.2761i | 0.709126 | − | 0.515210i | ||||
\(999\) | −26.5905 | −0.841287 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 350.2.h.d.211.4 | yes | 20 | |
25.4 | even | 10 | 8750.2.a.x.1.3 | 10 | |||
25.16 | even | 5 | inner | 350.2.h.d.141.4 | ✓ | 20 | |
25.21 | even | 5 | 8750.2.a.w.1.8 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.d.141.4 | ✓ | 20 | 25.16 | even | 5 | inner | |
350.2.h.d.211.4 | yes | 20 | 1.1 | even | 1 | trivial | |
8750.2.a.w.1.8 | 10 | 25.21 | even | 5 | |||
8750.2.a.x.1.3 | 10 | 25.4 | even | 10 |