Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(109,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.z (of order \(10\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 349.1 | ||
Character | \(\chi\) | \(=\) | 930.349 |
Dual form | 930.2.z.c.469.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | − | 0.309017i | −0.672499 | − | 0.218508i | ||||
\(3\) | 0.951057 | − | 0.309017i | 0.549093 | − | 0.178411i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | 0.618034 | − | 2.14896i | 0.276393 | − | 0.961045i | ||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | −1.53347 | + | 2.11064i | −0.579598 | + | 0.797748i | −0.993651 | − | 0.112505i | \(-0.964113\pi\) |
0.414054 | + | 0.910252i | \(0.364113\pi\) | |||||||
\(8\) | −0.587785 | − | 0.809017i | −0.207813 | − | 0.286031i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | −1.25185 | + | 1.85280i | −0.395870 | + | 0.585907i | ||||
\(11\) | −1.18111 | − | 0.858129i | −0.356119 | − | 0.258735i | 0.395313 | − | 0.918547i | \(-0.370636\pi\) |
−0.751431 | + | 0.659811i | \(0.770636\pi\) | |||||||
\(12\) | 0.951057 | + | 0.309017i | 0.274546 | + | 0.0892055i | ||||
\(13\) | −4.52499 | + | 1.47026i | −1.25501 | + | 0.407776i | −0.859713 | − | 0.510778i | \(-0.829357\pi\) |
−0.395294 | + | 0.918555i | \(0.629357\pi\) | |||||||
\(14\) | 2.11064 | − | 1.53347i | 0.564093 | − | 0.409837i | ||||
\(15\) | −0.0762803 | − | 2.23477i | −0.0196955 | − | 0.577014i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −2.98439 | − | 4.10766i | −0.723820 | − | 0.996253i | −0.999388 | − | 0.0349716i | \(-0.988866\pi\) |
0.275568 | − | 0.961282i | \(-0.411134\pi\) | |||||||
\(18\) | −0.951057 | + | 0.309017i | −0.224166 | + | 0.0728360i | ||||
\(19\) | 0.574481 | − | 1.76807i | 0.131795 | − | 0.405623i | −0.863283 | − | 0.504720i | \(-0.831596\pi\) |
0.995078 | + | 0.0990975i | \(0.0315956\pi\) | |||||||
\(20\) | 1.76313 | − | 1.37527i | 0.394247 | − | 0.307521i | ||||
\(21\) | −0.806193 | + | 2.48121i | −0.175926 | + | 0.541444i | ||||
\(22\) | 0.858129 | + | 1.18111i | 0.182954 | + | 0.251814i | ||||
\(23\) | −2.59484 | − | 3.57150i | −0.541062 | − | 0.744708i | 0.447703 | − | 0.894182i | \(-0.352242\pi\) |
−0.988766 | + | 0.149474i | \(0.952242\pi\) | |||||||
\(24\) | −0.809017 | − | 0.587785i | −0.165140 | − | 0.119981i | ||||
\(25\) | −4.23607 | − | 2.65626i | −0.847214 | − | 0.531252i | ||||
\(26\) | 4.75786 | 0.933093 | ||||||||
\(27\) | 0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | ||||
\(28\) | −2.48121 | + | 0.806193i | −0.468904 | + | 0.152356i | ||||
\(29\) | 0.334189 | − | 1.02853i | 0.0620574 | − | 0.190993i | −0.915221 | − | 0.402952i | \(-0.867984\pi\) |
0.977279 | + | 0.211959i | \(0.0679842\pi\) | |||||||
\(30\) | −0.618034 | + | 2.14896i | −0.112837 | + | 0.392345i | ||||
\(31\) | −1.69375 | − | 5.30389i | −0.304207 | − | 0.952606i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −1.38848 | − | 0.451145i | −0.241704 | − | 0.0785342i | ||||
\(34\) | 1.56899 | + | 4.82884i | 0.269079 | + | 0.828139i | ||||
\(35\) | 3.58795 | + | 4.59982i | 0.606474 | + | 0.777511i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 4.67804i | − | 0.769064i | −0.923112 | − | 0.384532i | \(-0.874363\pi\) | ||
0.923112 | − | 0.384532i | \(-0.125637\pi\) | |||||||
\(38\) | −1.09273 | + | 1.50401i | −0.177264 | + | 0.243983i | ||||
\(39\) | −3.84919 | + | 2.79660i | −0.616363 | + | 0.447814i | ||||
\(40\) | −2.10182 | + | 0.763128i | −0.332327 | + | 0.120661i | ||||
\(41\) | −2.57073 | + | 7.91189i | −0.401481 | + | 1.23563i | 0.522318 | + | 0.852751i | \(0.325068\pi\) |
−0.923798 | + | 0.382879i | \(0.874932\pi\) | |||||||
\(42\) | 1.53347 | − | 2.11064i | 0.236620 | − | 0.325679i | ||||
\(43\) | −4.48308 | − | 1.45664i | −0.683663 | − | 0.222136i | −0.0534646 | − | 0.998570i | \(-0.517026\pi\) |
−0.630198 | + | 0.776434i | \(0.717026\pi\) | |||||||
\(44\) | −0.451145 | − | 1.38848i | −0.0680126 | − | 0.209321i | ||||
\(45\) | −0.763128 | − | 2.10182i | −0.113760 | − | 0.313320i | ||||
\(46\) | 1.36419 | + | 4.19855i | 0.201139 | + | 0.619042i | ||||
\(47\) | 9.18597 | − | 2.98470i | 1.33991 | − | 0.435364i | 0.450624 | − | 0.892714i | \(-0.351201\pi\) |
0.889287 | + | 0.457350i | \(0.151201\pi\) | |||||||
\(48\) | 0.587785 | + | 0.809017i | 0.0848395 | + | 0.116772i | ||||
\(49\) | 0.0598438 | + | 0.184180i | 0.00854912 | + | 0.0263115i | ||||
\(50\) | 3.20791 | + | 3.83527i | 0.453667 | + | 0.542389i | ||||
\(51\) | −4.10766 | − | 2.98439i | −0.575187 | − | 0.417898i | ||||
\(52\) | −4.52499 | − | 1.47026i | −0.627503 | − | 0.203888i | ||||
\(53\) | 0.866223 | + | 1.19225i | 0.118985 | + | 0.163769i | 0.864355 | − | 0.502882i | \(-0.167727\pi\) |
−0.745370 | + | 0.666651i | \(0.767727\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | −2.57405 | + | 2.00781i | −0.347085 | + | 0.270733i | ||||
\(56\) | 2.60890 | 0.348628 | ||||||||
\(57\) | − | 1.85906i | − | 0.246238i | ||||||
\(58\) | −0.635666 | + | 0.874919i | −0.0834670 | + | 0.114883i | ||||
\(59\) | −1.33847 | − | 4.11940i | −0.174254 | − | 0.536300i | 0.825344 | − | 0.564630i | \(-0.190981\pi\) |
−0.999599 | + | 0.0283300i | \(0.990981\pi\) | |||||||
\(60\) | 1.25185 | − | 1.85280i | 0.161613 | − | 0.239196i | ||||
\(61\) | −0.894288 | −0.114502 | −0.0572509 | − | 0.998360i | \(-0.518234\pi\) | ||||
−0.0572509 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(62\) | −0.0281347 | + | 5.56769i | −0.00357311 | + | 0.707098i | ||||
\(63\) | 2.60890i | 0.328690i | ||||||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 0.362931 | + | 10.6327i | 0.0450160 | + | 1.31882i | ||||
\(66\) | 1.18111 | + | 0.858129i | 0.145385 | + | 0.105628i | ||||
\(67\) | − | 2.19683i | − | 0.268385i | −0.990955 | − | 0.134193i | \(-0.957156\pi\) | ||
0.990955 | − | 0.134193i | \(-0.0428441\pi\) | |||||||
\(68\) | − | 5.07734i | − | 0.615718i | ||||||
\(69\) | −3.57150 | − | 2.59484i | −0.429958 | − | 0.312382i | ||||
\(70\) | −1.99092 | − | 5.48342i | −0.237961 | − | 0.655395i | ||||
\(71\) | 9.22722 | − | 6.70397i | 1.09507 | − | 0.795615i | 0.114822 | − | 0.993386i | \(-0.463370\pi\) |
0.980248 | + | 0.197771i | \(0.0633703\pi\) | |||||||
\(72\) | −0.951057 | − | 0.309017i | −0.112083 | − | 0.0364180i | ||||
\(73\) | −7.37431 | + | 10.1499i | −0.863098 | + | 1.18795i | 0.117724 | + | 0.993046i | \(0.462440\pi\) |
−0.980822 | + | 0.194906i | \(0.937560\pi\) | |||||||
\(74\) | −1.44559 | + | 4.44908i | −0.168047 | + | 0.517195i | ||||
\(75\) | −4.84957 | − | 1.21724i | −0.559980 | − | 0.140555i | ||||
\(76\) | 1.50401 | − | 1.09273i | 0.172522 | − | 0.125344i | ||||
\(77\) | 3.62240 | − | 1.17699i | 0.412811 | − | 0.134130i | ||||
\(78\) | 4.52499 | − | 1.47026i | 0.512354 | − | 0.166474i | ||||
\(79\) | −2.95125 | + | 2.14421i | −0.332042 | + | 0.241242i | −0.741296 | − | 0.671178i | \(-0.765789\pi\) |
0.409255 | + | 0.912420i | \(0.365789\pi\) | |||||||
\(80\) | 2.23477 | − | 0.0762803i | 0.249854 | − | 0.00852839i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 4.88982 | − | 6.73026i | 0.539990 | − | 0.743233i | ||||
\(83\) | −1.39630 | − | 0.453685i | −0.153264 | − | 0.0497984i | 0.231380 | − | 0.972863i | \(-0.425676\pi\) |
−0.384644 | + | 0.923065i | \(0.625676\pi\) | |||||||
\(84\) | −2.11064 | + | 1.53347i | −0.230290 | + | 0.167315i | ||||
\(85\) | −10.6716 | + | 3.87466i | −1.15750 | + | 0.420266i | ||||
\(86\) | 3.81353 | + | 2.77069i | 0.411224 | + | 0.298772i | ||||
\(87\) | − | 1.08146i | − | 0.115945i | ||||||
\(88\) | 1.45994i | 0.155630i | ||||||||
\(89\) | −1.40650 | − | 1.02188i | −0.149089 | − | 0.108319i | 0.510740 | − | 0.859735i | \(-0.329371\pi\) |
−0.659829 | + | 0.751416i | \(0.729371\pi\) | |||||||
\(90\) | 0.0762803 | + | 2.23477i | 0.00804065 | + | 0.235565i | ||||
\(91\) | 3.83575 | − | 11.8052i | 0.402096 | − | 1.23752i | ||||
\(92\) | − | 4.41461i | − | 0.460255i | ||||||
\(93\) | −3.24985 | − | 4.52090i | −0.336993 | − | 0.468795i | ||||
\(94\) | −9.65870 | −0.996219 | ||||||||
\(95\) | −3.44446 | − | 2.32726i | −0.353395 | − | 0.238772i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 1.18626 | − | 1.63274i | 0.120446 | − | 0.165780i | −0.744536 | − | 0.667582i | \(-0.767329\pi\) |
0.864983 | + | 0.501802i | \(0.167329\pi\) | |||||||
\(98\) | − | 0.193659i | − | 0.0195625i | ||||||
\(99\) | −1.45994 | −0.146729 | ||||||||
\(100\) | −1.86574 | − | 4.63886i | −0.186574 | − | 0.463886i | ||||
\(101\) | 5.04616 | − | 3.66625i | 0.502112 | − | 0.364806i | −0.307711 | − | 0.951480i | \(-0.599563\pi\) |
0.809823 | + | 0.586674i | \(0.199563\pi\) | |||||||
\(102\) | 2.98439 | + | 4.10766i | 0.295498 | + | 0.406719i | ||||
\(103\) | 2.87221 | + | 0.933237i | 0.283007 | + | 0.0919546i | 0.447081 | − | 0.894493i | \(-0.352464\pi\) |
−0.164074 | + | 0.986448i | \(0.552464\pi\) | |||||||
\(104\) | 3.84919 | + | 2.79660i | 0.377444 | + | 0.274229i | ||||
\(105\) | 4.83376 | + | 3.26595i | 0.471727 | + | 0.318724i | ||||
\(106\) | −0.455400 | − | 1.40158i | −0.0442324 | − | 0.136133i | ||||
\(107\) | −1.39348 | − | 1.91797i | −0.134713 | − | 0.185417i | 0.736331 | − | 0.676622i | \(-0.236557\pi\) |
−0.871044 | + | 0.491205i | \(0.836557\pi\) | |||||||
\(108\) | 0.951057 | − | 0.309017i | 0.0915155 | − | 0.0297352i | ||||
\(109\) | −0.533694 | − | 1.64254i | −0.0511186 | − | 0.157327i | 0.922238 | − | 0.386622i | \(-0.126358\pi\) |
−0.973357 | + | 0.229295i | \(0.926358\pi\) | |||||||
\(110\) | 3.06852 | − | 1.11412i | 0.292572 | − | 0.106227i | ||||
\(111\) | −1.44559 | − | 4.44908i | −0.137210 | − | 0.422288i | ||||
\(112\) | −2.48121 | − | 0.806193i | −0.234452 | − | 0.0761781i | ||||
\(113\) | −9.36957 | + | 12.8961i | −0.881415 | + | 1.21316i | 0.0946114 | + | 0.995514i | \(0.469839\pi\) |
−0.976027 | + | 0.217650i | \(0.930161\pi\) | |||||||
\(114\) | −0.574481 | + | 1.76807i | −0.0538050 | + | 0.165595i | ||||
\(115\) | −9.27871 | + | 3.36891i | −0.865244 | + | 0.314153i | ||||
\(116\) | 0.874919 | − | 0.635666i | 0.0812342 | − | 0.0590201i | ||||
\(117\) | −2.79660 | + | 3.84919i | −0.258546 | + | 0.355858i | ||||
\(118\) | 4.33139i | 0.398737i | ||||||||
\(119\) | 13.2463 | 1.21428 | ||||||||
\(120\) | −1.76313 | + | 1.37527i | −0.160951 | + | 0.125545i | ||||
\(121\) | −2.74054 | − | 8.43453i | −0.249140 | − | 0.766775i | ||||
\(122\) | 0.850518 | + | 0.276350i | 0.0770023 | + | 0.0250196i | ||||
\(123\) | 8.31906i | 0.750104i | ||||||||
\(124\) | 1.74727 | − | 5.28650i | 0.156909 | − | 0.474741i | ||||
\(125\) | −8.32624 | + | 7.46149i | −0.744721 | + | 0.667376i | ||||
\(126\) | 0.806193 | − | 2.48121i | 0.0718214 | − | 0.221044i | ||||
\(127\) | 2.33670 | − | 0.759239i | 0.207348 | − | 0.0673716i | −0.203501 | − | 0.979075i | \(-0.565232\pi\) |
0.410850 | + | 0.911703i | \(0.365232\pi\) | |||||||
\(128\) | 0.587785 | − | 0.809017i | 0.0519534 | − | 0.0715077i | ||||
\(129\) | −4.71379 | −0.415026 | ||||||||
\(130\) | 2.94052 | − | 10.2245i | 0.257900 | − | 0.896744i | ||||
\(131\) | −12.2671 | − | 8.91259i | −1.07178 | − | 0.778697i | −0.0955522 | − | 0.995424i | \(-0.530462\pi\) |
−0.976232 | + | 0.216728i | \(0.930462\pi\) | |||||||
\(132\) | −0.858129 | − | 1.18111i | −0.0746905 | − | 0.102803i | ||||
\(133\) | 2.85081 | + | 3.92381i | 0.247197 | + | 0.340237i | ||||
\(134\) | −0.678857 | + | 2.08931i | −0.0586443 | + | 0.180489i | ||||
\(135\) | −1.37527 | − | 1.76313i | −0.118365 | − | 0.151746i | ||||
\(136\) | −1.56899 | + | 4.82884i | −0.134539 | + | 0.414070i | ||||
\(137\) | −0.913334 | + | 0.296760i | −0.0780314 | + | 0.0253539i | −0.347773 | − | 0.937579i | \(-0.613062\pi\) |
0.269741 | + | 0.962933i | \(0.413062\pi\) | |||||||
\(138\) | 2.59484 | + | 3.57150i | 0.220888 | + | 0.304026i | ||||
\(139\) | 1.59641 | + | 4.91325i | 0.135406 | + | 0.416736i | 0.995653 | − | 0.0931411i | \(-0.0296908\pi\) |
−0.860247 | + | 0.509877i | \(0.829691\pi\) | |||||||
\(140\) | 0.199007 | + | 5.83027i | 0.0168192 | + | 0.492748i | ||||
\(141\) | 7.81405 | − | 5.67724i | 0.658062 | − | 0.478110i | ||||
\(142\) | −10.8473 | + | 3.52449i | −0.910281 | + | 0.295768i | ||||
\(143\) | 6.60620 | + | 2.14648i | 0.552438 | + | 0.179498i | ||||
\(144\) | 0.809017 | + | 0.587785i | 0.0674181 | + | 0.0489821i | ||||
\(145\) | −2.00373 | − | 1.35383i | −0.166401 | − | 0.112429i | ||||
\(146\) | 10.1499 | − | 7.37431i | 0.840009 | − | 0.610302i | ||||
\(147\) | 0.113830 | + | 0.156673i | 0.00938852 | + | 0.0129222i | ||||
\(148\) | 2.74968 | − | 3.78461i | 0.226022 | − | 0.311093i | ||||
\(149\) | −8.79127 | −0.720209 | −0.360104 | − | 0.932912i | \(-0.617259\pi\) | ||||
−0.360104 | + | 0.932912i | \(0.617259\pi\) | |||||||
\(150\) | 4.23607 | + | 2.65626i | 0.345874 | + | 0.216883i | ||||
\(151\) | −15.2240 | − | 11.0609i | −1.23891 | − | 0.900124i | −0.241389 | − | 0.970429i | \(-0.577603\pi\) |
−0.997526 | + | 0.0703048i | \(0.977603\pi\) | |||||||
\(152\) | −1.76807 | + | 0.574481i | −0.143409 | + | 0.0465965i | ||||
\(153\) | −4.82884 | − | 1.56899i | −0.390389 | − | 0.126845i | ||||
\(154\) | −3.80882 | −0.306924 | ||||||||
\(155\) | −12.4446 | + | 0.361831i | −0.999578 | + | 0.0290629i | ||||
\(156\) | −4.75786 | −0.380933 | ||||||||
\(157\) | 21.8225 | + | 7.09056i | 1.74163 | + | 0.565888i | 0.995047 | − | 0.0994091i | \(-0.0316953\pi\) |
0.746578 | + | 0.665297i | \(0.231695\pi\) | |||||||
\(158\) | 3.46940 | − | 1.12728i | 0.276011 | − | 0.0896814i | ||||
\(159\) | 1.19225 | + | 0.866223i | 0.0945519 | + | 0.0686960i | ||||
\(160\) | −2.14896 | − | 0.618034i | −0.169890 | − | 0.0488599i | ||||
\(161\) | 11.5173 | 0.907688 | ||||||||
\(162\) | −0.587785 | + | 0.809017i | −0.0461808 | + | 0.0635624i | ||||
\(163\) | 12.9023 | + | 17.7584i | 1.01058 | + | 1.39095i | 0.918600 | + | 0.395188i | \(0.129321\pi\) |
0.0919830 | + | 0.995761i | \(0.470679\pi\) | |||||||
\(164\) | −6.73026 | + | 4.88982i | −0.525545 | + | 0.381831i | ||||
\(165\) | −1.82762 | + | 2.70497i | −0.142280 | + | 0.210582i | ||||
\(166\) | 1.18776 | + | 0.862961i | 0.0921883 | + | 0.0669787i | ||||
\(167\) | −11.5829 | − | 3.76350i | −0.896308 | − | 0.291228i | −0.175596 | − | 0.984462i | \(-0.556185\pi\) |
−0.720712 | + | 0.693234i | \(0.756185\pi\) | |||||||
\(168\) | 2.48121 | − | 0.806193i | 0.191429 | − | 0.0621992i | ||||
\(169\) | 7.79667 | − | 5.66461i | 0.599744 | − | 0.435739i | ||||
\(170\) | 11.3467 | − | 0.387301i | 0.870250 | − | 0.0297046i | ||||
\(171\) | −0.574481 | − | 1.76807i | −0.0439316 | − | 0.135208i | ||||
\(172\) | −2.77069 | − | 3.81353i | −0.211263 | − | 0.290779i | ||||
\(173\) | 22.8869 | − | 7.43640i | 1.74006 | − | 0.565379i | 0.745217 | − | 0.666822i | \(-0.232346\pi\) |
0.994841 | + | 0.101443i | \(0.0323459\pi\) | |||||||
\(174\) | −0.334189 | + | 1.02853i | −0.0253348 | + | 0.0779726i | ||||
\(175\) | 12.1023 | − | 4.86752i | 0.914848 | − | 0.367950i | ||||
\(176\) | 0.451145 | − | 1.38848i | 0.0340063 | − | 0.104661i | ||||
\(177\) | −2.54593 | − | 3.50417i | −0.191364 | − | 0.263389i | ||||
\(178\) | 1.02188 | + | 1.40650i | 0.0765933 | + | 0.105422i | ||||
\(179\) | 8.82509 | + | 6.41180i | 0.659618 | + | 0.479241i | 0.866534 | − | 0.499118i | \(-0.166343\pi\) |
−0.206916 | + | 0.978359i | \(0.566343\pi\) | |||||||
\(180\) | 0.618034 | − | 2.14896i | 0.0460655 | − | 0.160174i | ||||
\(181\) | 4.16517 | 0.309595 | 0.154797 | − | 0.987946i | \(-0.450528\pi\) | ||||
0.154797 | + | 0.987946i | \(0.450528\pi\) | |||||||
\(182\) | −7.29604 | + | 10.0421i | −0.540818 | + | 0.744372i | ||||
\(183\) | −0.850518 | + | 0.276350i | −0.0628721 | + | 0.0204284i | ||||
\(184\) | −1.36419 | + | 4.19855i | −0.100569 | + | 0.309521i | ||||
\(185\) | −10.0529 | − | 2.89118i | −0.739105 | − | 0.212564i | ||||
\(186\) | 1.69375 | + | 5.30389i | 0.124192 | + | 0.388900i | ||||
\(187\) | 7.41259i | 0.542063i | ||||||||
\(188\) | 9.18597 | + | 2.98470i | 0.669956 | + | 0.217682i | ||||
\(189\) | 0.806193 | + | 2.48121i | 0.0586419 | + | 0.180481i | ||||
\(190\) | 2.55672 | + | 3.27776i | 0.185484 | + | 0.237793i | ||||
\(191\) | 13.8431 | 1.00165 | 0.500826 | − | 0.865548i | \(-0.333030\pi\) | ||||
0.500826 | + | 0.865548i | \(0.333030\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | −7.50660 | + | 10.3319i | −0.540337 | + | 0.743710i | −0.988662 | − | 0.150161i | \(-0.952021\pi\) |
0.448325 | + | 0.893871i | \(0.352021\pi\) | |||||||
\(194\) | −1.63274 | + | 1.18626i | −0.117224 | + | 0.0851684i | ||||
\(195\) | 3.63085 | + | 10.0001i | 0.260011 | + | 0.716125i | ||||
\(196\) | −0.0598438 | + | 0.184180i | −0.00427456 | + | 0.0131557i | ||||
\(197\) | 9.40690 | − | 12.9475i | 0.670214 | − | 0.922470i | −0.329551 | − | 0.944138i | \(-0.606897\pi\) |
0.999765 | + | 0.0216673i | \(0.00689744\pi\) | |||||||
\(198\) | 1.38848 | + | 0.451145i | 0.0986751 | + | 0.0320615i | ||||
\(199\) | −4.33373 | − | 13.3378i | −0.307210 | − | 0.945495i | −0.978843 | − | 0.204611i | \(-0.934407\pi\) |
0.671633 | − | 0.740884i | \(-0.265593\pi\) | |||||||
\(200\) | 0.340937 | + | 4.98836i | 0.0241079 | + | 0.352731i | ||||
\(201\) | −0.678857 | − | 2.08931i | −0.0478829 | − | 0.147368i | ||||
\(202\) | −5.93212 | + | 1.92746i | −0.417382 | + | 0.135616i | ||||
\(203\) | 1.65839 | + | 2.28257i | 0.116396 | + | 0.160205i | ||||
\(204\) | −1.56899 | − | 4.82884i | −0.109851 | − | 0.338086i | ||||
\(205\) | 15.4136 | + | 10.4142i | 1.07653 | + | 0.727361i | ||||
\(206\) | −2.44325 | − | 1.77512i | −0.170229 | − | 0.123679i | ||||
\(207\) | −4.19855 | − | 1.36419i | −0.291819 | − | 0.0948178i | ||||
\(208\) | −2.79660 | − | 3.84919i | −0.193909 | − | 0.266893i | ||||
\(209\) | −2.19576 | + | 1.59531i | −0.151884 | + | 0.110350i | ||||
\(210\) | −3.58795 | − | 4.59982i | −0.247592 | − | 0.317418i | ||||
\(211\) | −0.562969 | −0.0387564 | −0.0193782 | − | 0.999812i | \(-0.506169\pi\) | ||||
−0.0193782 | + | 0.999812i | \(0.506169\pi\) | |||||||
\(212\) | 1.47371i | 0.101215i | ||||||||
\(213\) | 6.70397 | − | 9.22722i | 0.459348 | − | 0.632239i | ||||
\(214\) | 0.732598 | + | 2.25470i | 0.0500794 | + | 0.154128i | ||||
\(215\) | −5.90096 | + | 8.73371i | −0.402442 | + | 0.595634i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 13.7919 | + | 4.55845i | 0.936257 | + | 0.309447i | ||||
\(218\) | 1.72707i | 0.116972i | ||||||||
\(219\) | −3.87690 | + | 11.9319i | −0.261977 | + | 0.806282i | ||||
\(220\) | −3.26261 | + | 0.111364i | −0.219965 | + | 0.00750818i | ||||
\(221\) | 19.5436 | + | 14.1993i | 1.31465 | + | 0.955148i | ||||
\(222\) | 4.67804i | 0.313969i | ||||||||
\(223\) | 2.28518i | 0.153027i | 0.997069 | + | 0.0765136i | \(0.0243789\pi\) | ||||
−0.997069 | + | 0.0765136i | \(0.975621\pi\) | |||||||
\(224\) | 2.11064 | + | 1.53347i | 0.141023 | + | 0.102459i | ||||
\(225\) | −4.98836 | + | 0.340937i | −0.332558 | + | 0.0227291i | ||||
\(226\) | 12.8961 | − | 9.36957i | 0.857837 | − | 0.623255i | ||||
\(227\) | 26.2931 | + | 8.54313i | 1.74513 | + | 0.567028i | 0.995494 | − | 0.0948217i | \(-0.0302281\pi\) |
0.749637 | + | 0.661849i | \(0.230228\pi\) | |||||||
\(228\) | 1.09273 | − | 1.50401i | 0.0723676 | − | 0.0996055i | ||||
\(229\) | −5.72909 | + | 17.6323i | −0.378589 | + | 1.16518i | 0.562436 | + | 0.826841i | \(0.309864\pi\) |
−0.941025 | + | 0.338337i | \(0.890136\pi\) | |||||||
\(230\) | 9.86563 | − | 0.336748i | 0.650520 | − | 0.0222045i | ||||
\(231\) | 3.08140 | − | 2.23877i | 0.202741 | − | 0.147300i | ||||
\(232\) | −1.02853 | + | 0.334189i | −0.0675263 | + | 0.0219406i | ||||
\(233\) | 22.2747 | − | 7.23747i | 1.45926 | − | 0.474143i | 0.531417 | − | 0.847110i | \(-0.321660\pi\) |
0.927844 | + | 0.372968i | \(0.121660\pi\) | |||||||
\(234\) | 3.84919 | − | 2.79660i | 0.251629 | − | 0.182819i | ||||
\(235\) | −0.736768 | − | 21.5849i | −0.0480614 | − | 1.40805i | ||||
\(236\) | 1.33847 | − | 4.11940i | 0.0871272 | − | 0.268150i | ||||
\(237\) | −2.14421 | + | 2.95125i | −0.139281 | + | 0.191704i | ||||
\(238\) | −12.5979 | − | 4.09332i | −0.816603 | − | 0.265331i | ||||
\(239\) | 9.55003 | − | 6.93850i | 0.617740 | − | 0.448814i | −0.234392 | − | 0.972142i | \(-0.575310\pi\) |
0.852131 | + | 0.523328i | \(0.175310\pi\) | |||||||
\(240\) | 2.10182 | − | 0.763128i | 0.135672 | − | 0.0492597i | ||||
\(241\) | 16.8369 | + | 12.2327i | 1.08456 | + | 0.787979i | 0.978472 | − | 0.206377i | \(-0.0661675\pi\) |
0.106088 | + | 0.994357i | \(0.466167\pi\) | |||||||
\(242\) | 8.86859i | 0.570094i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −0.723494 | − | 0.525649i | −0.0463170 | − | 0.0336512i | ||||
\(245\) | 0.432782 | − | 0.0147723i | 0.0276494 | − | 0.000943770i | ||||
\(246\) | 2.57073 | − | 7.91189i | 0.163904 | − | 0.504444i | ||||
\(247\) | 8.84513i | 0.562802i | ||||||||
\(248\) | −3.29537 | + | 4.48782i | −0.209256 | + | 0.284977i | ||||
\(249\) | −1.46816 | −0.0930406 | ||||||||
\(250\) | 10.2244 | − | 4.52335i | 0.646651 | − | 0.286081i | ||||
\(251\) | −1.44571 | − | 4.44945i | −0.0912527 | − | 0.280847i | 0.895006 | − | 0.446054i | \(-0.147171\pi\) |
−0.986259 | + | 0.165207i | \(0.947171\pi\) | |||||||
\(252\) | −1.53347 | + | 2.11064i | −0.0965996 | + | 0.132958i | ||||
\(253\) | 6.44505i | 0.405197i | ||||||||
\(254\) | −2.45695 | −0.154163 | ||||||||
\(255\) | −8.95200 | + | 6.98274i | −0.560596 | + | 0.437276i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −11.6077 | − | 15.9767i | −0.724071 | − | 0.996598i | −0.999379 | − | 0.0352422i | \(-0.988780\pi\) |
0.275308 | − | 0.961356i | \(-0.411220\pi\) | |||||||
\(258\) | 4.48308 | + | 1.45664i | 0.279104 | + | 0.0906865i | ||||
\(259\) | 9.87366 | + | 7.17363i | 0.613519 | + | 0.445748i | ||||
\(260\) | −5.95613 | + | 8.81536i | −0.369383 | + | 0.546705i | ||||
\(261\) | −0.334189 | − | 1.02853i | −0.0206858 | − | 0.0636644i | ||||
\(262\) | 8.91259 | + | 12.2671i | 0.550622 | + | 0.757866i | ||||
\(263\) | −23.7210 | + | 7.70742i | −1.46270 | + | 0.475260i | −0.928894 | − | 0.370347i | \(-0.879239\pi\) |
−0.533807 | + | 0.845607i | \(0.679239\pi\) | |||||||
\(264\) | 0.451145 | + | 1.38848i | 0.0277660 | + | 0.0854551i | ||||
\(265\) | 3.09746 | − | 1.12463i | 0.190276 | − | 0.0690853i | ||||
\(266\) | −1.49876 | − | 4.61271i | −0.0918949 | − | 0.282823i | ||||
\(267\) | −1.65344 | − | 0.537236i | −0.101189 | − | 0.0328783i | ||||
\(268\) | 1.29126 | − | 1.77727i | 0.0788764 | − | 0.108564i | ||||
\(269\) | 5.83891 | − | 17.9703i | 0.356004 | − | 1.09567i | −0.599420 | − | 0.800434i | \(-0.704602\pi\) |
0.955425 | − | 0.295235i | \(-0.0953978\pi\) | |||||||
\(270\) | 0.763128 | + | 2.10182i | 0.0464425 | + | 0.127913i | ||||
\(271\) | 21.3250 | − | 15.4935i | 1.29540 | − | 0.941162i | 0.295499 | − | 0.955343i | \(-0.404514\pi\) |
0.999899 | + | 0.0141810i | \(0.00451409\pi\) | |||||||
\(272\) | 2.98439 | − | 4.10766i | 0.180955 | − | 0.249063i | ||||
\(273\) | − | 12.4128i | − | 0.751254i | ||||||
\(274\) | 0.960337 | 0.0580161 | ||||||||
\(275\) | 2.72386 | + | 6.77244i | 0.164255 | + | 0.408393i | ||||
\(276\) | −1.36419 | − | 4.19855i | −0.0821146 | − | 0.252723i | ||||
\(277\) | 20.9454 | + | 6.80557i | 1.25849 | + | 0.408907i | 0.860955 | − | 0.508682i | \(-0.169867\pi\) |
0.397532 | + | 0.917589i | \(0.369867\pi\) | |||||||
\(278\) | − | 5.16610i | − | 0.309842i | ||||||
\(279\) | −4.48782 | − | 3.29537i | −0.268679 | − | 0.197289i | ||||
\(280\) | 1.61239 | − | 5.60642i | 0.0963585 | − | 0.335048i | ||||
\(281\) | 2.45248 | − | 7.54795i | 0.146303 | − | 0.450273i | −0.850874 | − | 0.525370i | \(-0.823927\pi\) |
0.997176 | + | 0.0750973i | \(0.0239267\pi\) | |||||||
\(282\) | −9.18597 | + | 2.98470i | −0.547016 | + | 0.177736i | ||||
\(283\) | 4.03165 | − | 5.54909i | 0.239657 | − | 0.329859i | −0.672199 | − | 0.740371i | \(-0.734650\pi\) |
0.911855 | + | 0.410512i | \(0.134650\pi\) | |||||||
\(284\) | 11.4055 | 0.676790 | ||||||||
\(285\) | −3.99504 | − | 1.14896i | −0.236646 | − | 0.0680586i | ||||
\(286\) | −5.61957 | − | 4.08285i | −0.332292 | − | 0.241424i | ||||
\(287\) | −12.7570 | − | 17.5586i | −0.753024 | − | 1.03645i | ||||
\(288\) | −0.587785 | − | 0.809017i | −0.0346356 | − | 0.0476718i | ||||
\(289\) | −2.71299 | + | 8.34972i | −0.159588 | + | 0.491160i | ||||
\(290\) | 1.48730 | + | 1.90675i | 0.0873375 | + | 0.111968i | ||||
\(291\) | 0.623653 | − | 1.91941i | 0.0365592 | − | 0.112518i | ||||
\(292\) | −11.9319 | + | 3.87690i | −0.698261 | + | 0.226879i | ||||
\(293\) | −19.1762 | − | 26.3937i | −1.12028 | − | 1.54194i | −0.805327 | − | 0.592831i | \(-0.798010\pi\) |
−0.314957 | − | 0.949106i | \(-0.601990\pi\) | |||||||
\(294\) | −0.0598438 | − | 0.184180i | −0.00349016 | − | 0.0107416i | ||||
\(295\) | −9.67965 | + | 0.330400i | −0.563571 | + | 0.0192366i | ||||
\(296\) | −3.78461 | + | 2.74968i | −0.219976 | + | 0.159822i | ||||
\(297\) | −1.38848 | + | 0.451145i | −0.0805678 | + | 0.0261781i | ||||
\(298\) | 8.36099 | + | 2.71665i | 0.484339 | + | 0.157371i | ||||
\(299\) | 16.9927 | + | 12.3459i | 0.982711 | + | 0.713982i | ||||
\(300\) | −3.20791 | − | 3.83527i | −0.185209 | − | 0.221430i | ||||
\(301\) | 9.94911 | − | 7.22845i | 0.573457 | − | 0.416641i | ||||
\(302\) | 11.0609 | + | 15.2240i | 0.636484 | + | 0.876045i | ||||
\(303\) | 3.66625 | − | 5.04616i | 0.210621 | − | 0.289894i | ||||
\(304\) | 1.85906 | 0.106624 | ||||||||
\(305\) | −0.552700 | + | 1.92179i | −0.0316475 | + | 0.110041i | ||||
\(306\) | 4.10766 | + | 2.98439i | 0.234819 | + | 0.170606i | ||||
\(307\) | −3.05911 | + | 0.993966i | −0.174593 | + | 0.0567286i | −0.395009 | − | 0.918677i | \(-0.629258\pi\) |
0.220416 | + | 0.975406i | \(0.429258\pi\) | |||||||
\(308\) | 3.62240 | + | 1.17699i | 0.206406 | + | 0.0670652i | ||||
\(309\) | 3.02002 | 0.171803 | ||||||||
\(310\) | 11.9474 | + | 3.50148i | 0.678565 | + | 0.198871i | ||||
\(311\) | −4.19986 | −0.238152 | −0.119076 | − | 0.992885i | \(-0.537993\pi\) | ||||
−0.119076 | + | 0.992885i | \(0.537993\pi\) | |||||||
\(312\) | 4.52499 | + | 1.47026i | 0.256177 | + | 0.0832370i | ||||
\(313\) | 2.87211 | − | 0.933206i | 0.162341 | − | 0.0527479i | −0.226719 | − | 0.973960i | \(-0.572800\pi\) |
0.389060 | + | 0.921212i | \(0.372800\pi\) | |||||||
\(314\) | −18.5633 | − | 13.4870i | −1.04759 | − | 0.761118i | ||||
\(315\) | 5.60642 | + | 1.61239i | 0.315886 | + | 0.0908477i | ||||
\(316\) | −3.64795 | −0.205213 | ||||||||
\(317\) | −7.38243 | + | 10.1610i | −0.414639 | + | 0.570701i | −0.964342 | − | 0.264659i | \(-0.914741\pi\) |
0.549703 | + | 0.835360i | \(0.314741\pi\) | |||||||
\(318\) | −0.866223 | − | 1.19225i | −0.0485754 | − | 0.0668583i | ||||
\(319\) | −1.27733 | + | 0.928031i | −0.0715165 | + | 0.0519598i | ||||
\(320\) | 1.85280 | + | 1.25185i | 0.103575 | + | 0.0699806i | ||||
\(321\) | −1.91797 | − | 1.39348i | −0.107050 | − | 0.0777767i | ||||
\(322\) | −10.9536 | − | 3.55903i | −0.610419 | − | 0.198337i | ||||
\(323\) | −8.97710 | + | 2.91684i | −0.499499 | + | 0.162297i | ||||
\(324\) | 0.809017 | − | 0.587785i | 0.0449454 | − | 0.0326547i | ||||
\(325\) | 23.0736 | + | 5.79145i | 1.27989 | + | 0.321252i | ||||
\(326\) | −6.78312 | − | 20.8763i | −0.375682 | − | 1.15623i | ||||
\(327\) | −1.01515 | − | 1.39723i | −0.0561377 | − | 0.0772670i | ||||
\(328\) | 7.91189 | − | 2.57073i | 0.436861 | − | 0.141945i | ||||
\(329\) | −7.78678 | + | 23.9652i | −0.429299 | + | 1.32125i | ||||
\(330\) | 2.57405 | − | 2.00781i | 0.141697 | − | 0.110526i | ||||
\(331\) | 0.117391 | − | 0.361292i | 0.00645238 | − | 0.0198584i | −0.947778 | − | 0.318929i | \(-0.896677\pi\) |
0.954231 | + | 0.299071i | \(0.0966767\pi\) | |||||||
\(332\) | −0.862961 | − | 1.18776i | −0.0473611 | − | 0.0651870i | ||||
\(333\) | −2.74968 | − | 3.78461i | −0.150682 | − | 0.207395i | ||||
\(334\) | 9.85296 | + | 7.15860i | 0.539130 | + | 0.391701i | ||||
\(335\) | −4.72090 | − | 1.35771i | −0.257930 | − | 0.0741798i | ||||
\(336\) | −2.60890 | −0.142327 | ||||||||
\(337\) | 12.7064 | − | 17.4889i | 0.692162 | − | 0.952679i | −0.307838 | − | 0.951439i | \(-0.599605\pi\) |
0.999999 | − | 0.00123971i | \(-0.000394612\pi\) | |||||||
\(338\) | −9.16553 | + | 2.97806i | −0.498539 | + | 0.161985i | ||||
\(339\) | −4.92588 | + | 15.1603i | −0.267537 | + | 0.823394i | ||||
\(340\) | −10.9110 | − | 3.13797i | −0.591733 | − | 0.170180i | ||||
\(341\) | −2.55090 | + | 7.71794i | −0.138139 | + | 0.417950i | ||||
\(342\) | 1.85906i | 0.100526i | ||||||||
\(343\) | −17.8490 | − | 5.79948i | −0.963753 | − | 0.313142i | ||||
\(344\) | 1.45664 | + | 4.48308i | 0.0785368 | + | 0.241711i | ||||
\(345\) | −7.78352 | + | 6.07130i | −0.419051 | + | 0.326868i | ||||
\(346\) | −24.0647 | −1.29373 | ||||||||
\(347\) | 12.7424i | 0.684047i | 0.939691 | + | 0.342023i | \(0.111112\pi\) | ||||
−0.939691 | + | 0.342023i | \(0.888888\pi\) | |||||||
\(348\) | 0.635666 | − | 0.874919i | 0.0340753 | − | 0.0469006i | ||||
\(349\) | −28.5687 | + | 20.7564i | −1.52925 | + | 1.11106i | −0.572591 | + | 0.819841i | \(0.694062\pi\) |
−0.956656 | + | 0.291222i | \(0.905938\pi\) | |||||||
\(350\) | −13.0141 | + | 0.889470i | −0.695634 | + | 0.0475442i | ||||
\(351\) | −1.47026 | + | 4.52499i | −0.0784766 | + | 0.241526i | ||||
\(352\) | −0.858129 | + | 1.18111i | −0.0457384 | + | 0.0629535i | ||||
\(353\) | −21.2468 | − | 6.90352i | −1.13086 | − | 0.367437i | −0.316954 | − | 0.948441i | \(-0.602660\pi\) |
−0.813901 | + | 0.581004i | \(0.802660\pi\) | |||||||
\(354\) | 1.33847 | + | 4.11940i | 0.0711390 | + | 0.218943i | ||||
\(355\) | −8.70383 | − | 23.9722i | −0.461951 | − | 1.27231i | ||||
\(356\) | −0.537236 | − | 1.65344i | −0.0284734 | − | 0.0876322i | ||||
\(357\) | 12.5979 | − | 4.09332i | 0.666754 | − | 0.216641i | ||||
\(358\) | −6.41180 | − | 8.82509i | −0.338874 | − | 0.466420i | ||||
\(359\) | −8.69462 | − | 26.7593i | −0.458884 | − | 1.41230i | −0.866514 | − | 0.499153i | \(-0.833644\pi\) |
0.407629 | − | 0.913148i | \(-0.366356\pi\) | |||||||
\(360\) | −1.25185 | + | 1.85280i | −0.0659783 | + | 0.0976512i | ||||
\(361\) | 12.5753 | + | 9.13648i | 0.661857 | + | 0.480867i | ||||
\(362\) | −3.96132 | − | 1.28711i | −0.208202 | − | 0.0676490i | ||||
\(363\) | −5.21283 | − | 7.17484i | −0.273602 | − | 0.376581i | ||||
\(364\) | 10.0421 | − | 7.29604i | 0.526351 | − | 0.382416i | ||||
\(365\) | 17.2541 | + | 22.1201i | 0.903121 | + | 1.15782i | ||||
\(366\) | 0.894288 | 0.0467452 | ||||||||
\(367\) | − | 17.4128i | − | 0.908943i | −0.890761 | − | 0.454471i | \(-0.849828\pi\) | ||
0.890761 | − | 0.454471i | \(-0.150172\pi\) | |||||||
\(368\) | 2.59484 | − | 3.57150i | 0.135266 | − | 0.186177i | ||||
\(369\) | 2.57073 | + | 7.91189i | 0.133827 | + | 0.411877i | ||||
\(370\) | 8.66747 | + | 5.85620i | 0.450600 | + | 0.304449i | ||||
\(371\) | −3.84475 | −0.199609 | ||||||||
\(372\) | 0.0281347 | − | 5.56769i | 0.00145872 | − | 0.288671i | ||||
\(373\) | 33.9694i | 1.75887i | 0.476020 | + | 0.879435i | \(0.342079\pi\) | ||||
−0.476020 | + | 0.879435i | \(0.657921\pi\) | |||||||
\(374\) | 2.29062 | − | 7.04980i | 0.118445 | − | 0.364536i | ||||
\(375\) | −5.61300 | + | 9.66924i | −0.289854 | + | 0.499318i | ||||
\(376\) | −7.81405 | − | 5.67724i | −0.402979 | − | 0.292781i | ||||
\(377\) | 5.14543i | 0.265003i | ||||||||
\(378\) | − | 2.60890i | − | 0.134187i | ||||||
\(379\) | 5.35456 | + | 3.89031i | 0.275045 | + | 0.199832i | 0.716753 | − | 0.697327i | \(-0.245627\pi\) |
−0.441708 | + | 0.897159i | \(0.645627\pi\) | |||||||
\(380\) | −1.41870 | − | 3.90740i | −0.0727777 | − | 0.200445i | ||||
\(381\) | 1.98771 | − | 1.44416i | 0.101834 | − | 0.0739865i | ||||
\(382\) | −13.1656 | − | 4.27776i | −0.673610 | − | 0.218869i | ||||
\(383\) | 8.33438 | − | 11.4713i | 0.425867 | − | 0.586156i | −0.541131 | − | 0.840938i | \(-0.682004\pi\) |
0.966998 | + | 0.254782i | \(0.0820038\pi\) | |||||||
\(384\) | 0.309017 | − | 0.951057i | 0.0157695 | − | 0.0485334i | ||||
\(385\) | −0.290538 | − | 8.51182i | −0.0148072 | − | 0.433803i | ||||
\(386\) | 10.3319 | − | 7.50660i | 0.525882 | − | 0.382076i | ||||
\(387\) | −4.48308 | + | 1.45664i | −0.227888 | + | 0.0740452i | ||||
\(388\) | 1.91941 | − | 0.623653i | 0.0974431 | − | 0.0316612i | ||||
\(389\) | −9.25458 | + | 6.72385i | −0.469226 | + | 0.340913i | −0.797140 | − | 0.603795i | \(-0.793654\pi\) |
0.327914 | + | 0.944708i | \(0.393654\pi\) | |||||||
\(390\) | −0.362931 | − | 10.6327i | −0.0183777 | − | 0.538408i | ||||
\(391\) | −6.92646 | + | 21.3175i | −0.350286 | + | 1.07807i | ||||
\(392\) | 0.113830 | − | 0.156673i | 0.00574927 | − | 0.00791319i | ||||
\(393\) | −14.4209 | − | 4.68563i | −0.727437 | − | 0.236359i | ||||
\(394\) | −12.9475 | + | 9.40690i | −0.652285 | + | 0.473913i | ||||
\(395\) | 2.78385 | + | 7.66732i | 0.140071 | + | 0.385785i | ||||
\(396\) | −1.18111 | − | 0.858129i | −0.0593531 | − | 0.0431226i | ||||
\(397\) | − | 6.08289i | − | 0.305291i | −0.988281 | − | 0.152646i | \(-0.951221\pi\) | ||
0.988281 | − | 0.152646i | \(-0.0487793\pi\) | |||||||
\(398\) | 14.0242i | 0.702972i | ||||||||
\(399\) | 3.92381 | + | 2.85081i | 0.196436 | + | 0.142719i | ||||
\(400\) | 1.21724 | − | 4.84957i | 0.0608619 | − | 0.242479i | ||||
\(401\) | −10.6744 | + | 32.8524i | −0.533054 | + | 1.64057i | 0.214764 | + | 0.976666i | \(0.431102\pi\) |
−0.747817 | + | 0.663905i | \(0.768898\pi\) | |||||||
\(402\) | 2.19683i | 0.109568i | ||||||||
\(403\) | 15.4623 | + | 21.5098i | 0.770232 | + | 1.07148i | ||||
\(404\) | 6.23740 | 0.310322 | ||||||||
\(405\) | −1.85280 | − | 1.25185i | −0.0920664 | − | 0.0622050i | ||||
\(406\) | −0.871866 | − | 2.68333i | −0.0432700 | − | 0.133171i | ||||
\(407\) | −4.01436 | + | 5.52529i | −0.198984 | + | 0.273878i | ||||
\(408\) | 5.07734i | 0.251366i | ||||||||
\(409\) | 5.99496 | 0.296432 | 0.148216 | − | 0.988955i | \(-0.452647\pi\) | ||||
0.148216 | + | 0.988955i | \(0.452647\pi\) | |||||||
\(410\) | −11.4410 | − | 14.6676i | −0.565030 | − | 0.724379i | ||||
\(411\) | −0.776929 | + | 0.564472i | −0.0383231 | + | 0.0278433i | ||||
\(412\) | 1.77512 | + | 2.44325i | 0.0874540 | + | 0.120370i | ||||
\(413\) | 10.7471 | + | 3.49194i | 0.528829 | + | 0.171827i | ||||
\(414\) | 3.57150 | + | 2.59484i | 0.175529 | + | 0.127530i | ||||
\(415\) | −1.83791 | + | 2.72020i | −0.0902196 | + | 0.133529i | ||||
\(416\) | 1.47026 | + | 4.52499i | 0.0720854 | + | 0.221856i | ||||
\(417\) | 3.03655 | + | 4.17946i | 0.148701 | + | 0.204669i | ||||
\(418\) | 2.58127 | − | 0.838705i | 0.126254 | − | 0.0410224i | ||||
\(419\) | −8.78260 | − | 27.0301i | −0.429058 | − | 1.32051i | −0.899054 | − | 0.437837i | \(-0.855745\pi\) |
0.469996 | − | 0.882669i | \(-0.344255\pi\) | |||||||
\(420\) | 1.99092 | + | 5.48342i | 0.0971470 | + | 0.267564i | ||||
\(421\) | −7.38365 | − | 22.7245i | −0.359857 | − | 1.10753i | −0.953139 | − | 0.302531i | \(-0.902168\pi\) |
0.593282 | − | 0.804994i | \(-0.297832\pi\) | |||||||
\(422\) | 0.535415 | + | 0.173967i | 0.0260636 | + | 0.00846858i | ||||
\(423\) | 5.67724 | − | 7.81405i | 0.276037 | − | 0.379932i | ||||
\(424\) | 0.455400 | − | 1.40158i | 0.0221162 | − | 0.0680667i | ||||
\(425\) | 1.73105 | + | 25.3276i | 0.0839685 | + | 1.22857i | ||||
\(426\) | −9.22722 | + | 6.70397i | −0.447060 | + | 0.324808i | ||||
\(427\) | 1.37136 | − | 1.88752i | 0.0663650 | − | 0.0913436i | ||||
\(428\) | − | 2.37074i | − | 0.114594i | ||||||
\(429\) | 6.94617 | 0.335364 | ||||||||
\(430\) | 8.31101 | − | 6.48275i | 0.400792 | − | 0.312626i | ||||
\(431\) | 2.00824 | + | 6.18073i | 0.0967335 | + | 0.297715i | 0.987702 | − | 0.156351i | \(-0.0499731\pi\) |
−0.890968 | + | 0.454066i | \(0.849973\pi\) | |||||||
\(432\) | 0.951057 | + | 0.309017i | 0.0457577 | + | 0.0148676i | ||||
\(433\) | 19.6221i | 0.942979i | 0.881872 | + | 0.471490i | \(0.156284\pi\) | ||||
−0.881872 | + | 0.471490i | \(0.843716\pi\) | |||||||
\(434\) | −11.7083 | − | 8.59728i | −0.562015 | − | 0.412683i | ||||
\(435\) | −2.32401 | − | 0.668379i | −0.111428 | − | 0.0320463i | ||||
\(436\) | 0.533694 | − | 1.64254i | 0.0255593 | − | 0.0786635i | ||||
\(437\) | −7.80534 | + | 2.53611i | −0.373380 | + | 0.121319i | ||||
\(438\) | 7.37431 | − | 10.1499i | 0.352358 | − | 0.484979i | ||||
\(439\) | −20.2699 | −0.967428 | −0.483714 | − | 0.875226i | \(-0.660713\pi\) | ||||
−0.483714 | + | 0.875226i | \(0.660713\pi\) | |||||||
\(440\) | 3.13734 | + | 0.902290i | 0.149567 | + | 0.0430150i | ||||
\(441\) | 0.156673 | + | 0.113830i | 0.00746063 | + | 0.00542046i | ||||
\(442\) | −14.1993 | − | 19.5436i | −0.675391 | − | 0.929597i | ||||
\(443\) | 0.392196 | + | 0.539812i | 0.0186338 | + | 0.0256472i | 0.818232 | − | 0.574888i | \(-0.194954\pi\) |
−0.799598 | + | 0.600535i | \(0.794954\pi\) | |||||||
\(444\) | 1.44559 | − | 4.44908i | 0.0686048 | − | 0.211144i | ||||
\(445\) | −3.06525 | + | 2.39096i | −0.145307 | + | 0.113342i | ||||
\(446\) | 0.706161 | − | 2.17334i | 0.0334377 | − | 0.102911i | ||||
\(447\) | −8.36099 | + | 2.71665i | −0.395461 | + | 0.128493i | ||||
\(448\) | −1.53347 | − | 2.11064i | −0.0724497 | − | 0.0997184i | ||||
\(449\) | −6.52879 | − | 20.0936i | −0.308113 | − | 0.948274i | −0.978497 | − | 0.206260i | \(-0.933871\pi\) |
0.670384 | − | 0.742014i | \(-0.266129\pi\) | |||||||
\(450\) | 4.84957 | + | 1.21724i | 0.228611 | + | 0.0573812i | ||||
\(451\) | 9.82574 | − | 7.13882i | 0.462676 | − | 0.336154i | ||||
\(452\) | −15.1603 | + | 4.92588i | −0.713080 | + | 0.231694i | ||||
\(453\) | −17.8969 | − | 5.81506i | −0.840871 | − | 0.273215i | ||||
\(454\) | −22.3662 | − | 16.2500i | −1.04970 | − | 0.762650i | ||||
\(455\) | −22.9984 | − | 15.5389i | −1.07818 | − | 0.728476i | ||||
\(456\) | −1.50401 | + | 1.09273i | −0.0704317 | + | 0.0511716i | ||||
\(457\) | 7.42348 | + | 10.2175i | 0.347256 | + | 0.477957i | 0.946543 | − | 0.322577i | \(-0.104549\pi\) |
−0.599287 | + | 0.800534i | \(0.704549\pi\) | |||||||
\(458\) | 10.8974 | − | 14.9990i | 0.509201 | − | 0.700855i | ||||
\(459\) | −5.07734 | −0.236990 | ||||||||
\(460\) | −9.48683 | − | 2.72838i | −0.442326 | − | 0.127211i | ||||
\(461\) | −11.0161 | − | 8.00364i | −0.513069 | − | 0.372767i | 0.300917 | − | 0.953650i | \(-0.402707\pi\) |
−0.813987 | + | 0.580884i | \(0.802707\pi\) | |||||||
\(462\) | −3.62240 | + | 1.17699i | −0.168529 | + | 0.0547585i | ||||
\(463\) | −22.4421 | − | 7.29188i | −1.04297 | − | 0.338883i | −0.263066 | − | 0.964778i | \(-0.584734\pi\) |
−0.779907 | + | 0.625895i | \(0.784734\pi\) | |||||||
\(464\) | 1.08146 | 0.0502055 | ||||||||
\(465\) | −11.7237 | + | 4.18973i | −0.543676 | + | 0.194294i | ||||
\(466\) | −23.4210 | −1.08495 | ||||||||
\(467\) | 2.13216 | + | 0.692779i | 0.0986644 | + | 0.0320580i | 0.357933 | − | 0.933747i | \(-0.383482\pi\) |
−0.259269 | + | 0.965805i | \(0.583482\pi\) | |||||||
\(468\) | −4.52499 | + | 1.47026i | −0.209168 | + | 0.0679627i | ||||
\(469\) | 4.63671 | + | 3.36877i | 0.214104 | + | 0.155555i | ||||
\(470\) | −5.96940 | + | 20.7562i | −0.275348 | + | 0.957411i | ||||
\(471\) | 22.9455 | 1.05727 | ||||||||
\(472\) | −2.54593 | + | 3.50417i | −0.117186 | + | 0.161292i | ||||
\(473\) | 4.04503 | + | 5.56751i | 0.185991 | + | 0.255994i | ||||
\(474\) | 2.95125 | − | 2.14421i | 0.135555 | − | 0.0984868i | ||||
\(475\) | −7.12999 | + | 5.96369i | −0.327147 | + | 0.273633i | ||||
\(476\) | 10.7165 | + | 7.78596i | 0.491188 | + | 0.356869i | ||||
\(477\) | 1.40158 | + | 0.455400i | 0.0641739 | + | 0.0208514i | ||||
\(478\) | −11.2267 | + | 3.64779i | −0.513499 | + | 0.166846i | ||||
\(479\) | −22.0284 | + | 16.0046i | −1.00650 | + | 0.731268i | −0.963473 | − | 0.267806i | \(-0.913701\pi\) |
−0.0430312 | + | 0.999074i | \(0.513701\pi\) | |||||||
\(480\) | −2.23477 | + | 0.0762803i | −0.102003 | + | 0.00348170i | ||||
\(481\) | 6.87792 | + | 21.1681i | 0.313606 | + | 0.965181i | ||||
\(482\) | −12.2327 | − | 16.8369i | −0.557186 | − | 0.766900i | ||||
\(483\) | 10.9536 | − | 3.55903i | 0.498405 | − | 0.161942i | ||||
\(484\) | 2.74054 | − | 8.43453i | 0.124570 | − | 0.383388i | ||||
\(485\) | −2.77556 | − | 3.55831i | −0.126032 | − | 0.161575i | ||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | −24.2935 | − | 33.4372i | −1.10084 | − | 1.51518i | −0.834261 | − | 0.551370i | \(-0.814105\pi\) |
−0.266584 | − | 0.963812i | \(-0.585895\pi\) | |||||||
\(488\) | 0.525649 | + | 0.723494i | 0.0237950 | + | 0.0327510i | ||||
\(489\) | 17.7584 | + | 12.9023i | 0.803065 | + | 0.583461i | ||||
\(490\) | −0.416165 | − | 0.119688i | −0.0188004 | − | 0.00540694i | ||||
\(491\) | −17.4627 | −0.788080 | −0.394040 | − | 0.919093i | \(-0.628923\pi\) | ||||
−0.394040 | + | 0.919093i | \(0.628923\pi\) | |||||||
\(492\) | −4.88982 | + | 6.73026i | −0.220450 | + | 0.303424i | ||||
\(493\) | −5.22220 | + | 1.69679i | −0.235196 | + | 0.0764198i | ||||
\(494\) | 2.73330 | − | 8.41222i | 0.122977 | − | 0.378484i | ||||
\(495\) | −0.902290 | + | 3.13734i | −0.0405549 | + | 0.141013i | ||||
\(496\) | 4.52090 | − | 3.24985i | 0.202994 | − | 0.145922i | ||||
\(497\) | 29.7557i | 1.33473i | ||||||||
\(498\) | 1.39630 | + | 0.453685i | 0.0625697 | + | 0.0203301i | ||||
\(499\) | 0.869270 | + | 2.67534i | 0.0389139 | + | 0.119765i | 0.968626 | − | 0.248522i | \(-0.0799447\pi\) |
−0.929713 | + | 0.368286i | \(0.879945\pi\) | |||||||
\(500\) | −11.1218 | + | 1.14243i | −0.497383 | + | 0.0510910i | ||||
\(501\) | −12.1789 | −0.544115 | ||||||||
\(502\) | 4.67843i | 0.208809i | ||||||||
\(503\) | 23.6481 | − | 32.5488i | 1.05441 | − | 1.45128i | 0.169497 | − | 0.985531i | \(-0.445786\pi\) |
0.884918 | − | 0.465747i | \(-0.154214\pi\) | |||||||
\(504\) | 2.11064 | − | 1.53347i | 0.0940155 | − | 0.0683062i | ||||
\(505\) | −4.75993 | − | 13.1099i | −0.211814 | − | 0.583382i | ||||
\(506\) | 1.99163 | − | 6.12960i | 0.0885387 | − | 0.272494i | ||||
\(507\) | 5.66461 | − | 7.79667i | 0.251574 | − | 0.346262i | ||||
\(508\) | 2.33670 | + | 0.759239i | 0.103674 | + | 0.0336858i | ||||
\(509\) | −2.53618 | − | 7.80555i | −0.112414 | − | 0.345975i | 0.878985 | − | 0.476850i | \(-0.158221\pi\) |
−0.991399 | + | 0.130875i | \(0.958221\pi\) | |||||||
\(510\) | 10.6716 | − | 3.87466i | 0.472549 | − | 0.171573i | ||||
\(511\) | −10.1144 | − | 31.1290i | −0.447437 | − | 1.37707i | ||||
\(512\) | 0.951057 | − | 0.309017i | 0.0420312 | − | 0.0136568i | ||||
\(513\) | −1.09273 | − | 1.50401i | −0.0482451 | − | 0.0664036i | ||||
\(514\) | 6.10255 | + | 18.7817i | 0.269172 | + | 0.828426i | ||||
\(515\) | 3.78061 | − | 5.59549i | 0.166594 | − | 0.246567i | ||||
\(516\) | −3.81353 | − | 2.77069i | −0.167881 | − | 0.121973i | ||||
\(517\) | −13.4109 | − | 4.35747i | −0.589812 | − | 0.191641i | ||||
\(518\) | −7.17363 | − | 9.87366i | −0.315191 | − | 0.433824i | ||||
\(519\) | 19.4688 | − | 14.1449i | 0.854583 | − | 0.620891i | ||||
\(520\) | 8.38871 | − | 6.54336i | 0.367869 | − | 0.286945i | ||||
\(521\) | −21.1992 | −0.928755 | −0.464377 | − | 0.885637i | \(-0.653722\pi\) | ||||
−0.464377 | + | 0.885637i | \(0.653722\pi\) | |||||||
\(522\) | 1.08146i | 0.0473342i | ||||||||
\(523\) | 24.9394 | − | 34.3261i | 1.09052 | − | 1.50098i | 0.243144 | − | 0.969990i | \(-0.421821\pi\) |
0.847380 | − | 0.530988i | \(-0.178179\pi\) | |||||||
\(524\) | −4.68563 | − | 14.4209i | −0.204693 | − | 0.629979i | ||||
\(525\) | 10.0058 | − | 8.36911i | 0.436690 | − | 0.365258i | ||||
\(526\) | 24.9417 | 1.08751 | ||||||||
\(527\) | −16.7317 | + | 22.7862i | −0.728845 | + | 0.992583i | ||||
\(528\) | − | 1.45994i | − | 0.0635355i | ||||||
\(529\) | 1.08502 | − | 3.33935i | 0.0471749 | − | 0.145189i | ||||
\(530\) | −3.29339 | + | 0.112415i | −0.143056 | + | 0.00488298i | ||||
\(531\) | −3.50417 | − | 2.54593i | −0.152068 | − | 0.110484i | ||||
\(532\) | 4.85009i | 0.210278i | ||||||||
\(533\) | − | 39.5809i | − | 1.71444i | ||||||
\(534\) | 1.40650 | + | 1.02188i | 0.0608652 | + | 0.0442212i | ||||
\(535\) | −4.98285 | + | 1.80917i | −0.215428 | + | 0.0782174i | ||||
\(536\) | −1.77727 | + | 1.29126i | −0.0767664 | + | 0.0557740i | ||||
\(537\) | 10.3745 | + | 3.37088i | 0.447693 | + | 0.145464i | ||||
\(538\) | −11.1063 | + | 15.2865i | −0.478825 | + | 0.659046i | ||||
\(539\) | 0.0873681 | − | 0.268891i | 0.00376321 | − | 0.0115820i | ||||
\(540\) | −0.0762803 | − | 2.23477i | −0.00328258 | − | 0.0961690i | ||||
\(541\) | 29.0823 | − | 21.1295i | 1.25035 | − | 0.908429i | 0.252104 | − | 0.967700i | \(-0.418878\pi\) |
0.998242 | + | 0.0592708i | \(0.0188776\pi\) | |||||||
\(542\) | −25.0690 | + | 8.14541i | −1.07680 | + | 0.349875i | ||||
\(543\) | 3.96132 | − | 1.28711i | 0.169996 | − | 0.0552351i | ||||
\(544\) | −4.10766 | + | 2.98439i | −0.176114 | + | 0.127955i | ||||
\(545\) | −3.85960 | + | 0.131741i | −0.165327 | + | 0.00564318i | ||||
\(546\) | −3.83575 | + | 11.8052i | −0.164155 | + | 0.505217i | ||||
\(547\) | 14.9307 | − | 20.5503i | 0.638389 | − | 0.878668i | −0.360139 | − | 0.932899i | \(-0.617271\pi\) |
0.998528 | + | 0.0542310i | \(0.0172707\pi\) | |||||||
\(548\) | −0.913334 | − | 0.296760i | −0.0390157 | − | 0.0126770i | ||||
\(549\) | −0.723494 | + | 0.525649i | −0.0308780 | + | 0.0224342i | ||||
\(550\) | −0.497746 | − | 7.28269i | −0.0212240 | − | 0.310535i | ||||
\(551\) | −1.62653 | − | 1.18174i | −0.0692923 | − | 0.0503438i | ||||
\(552\) | 4.41461i | 0.187898i | ||||||||
\(553\) | − | 9.51712i | − | 0.404709i | ||||||
\(554\) | −17.8172 | − | 12.9450i | −0.756981 | − | 0.549979i | ||||
\(555\) | −10.4543 | + | 0.356842i | −0.443761 | + | 0.0151471i | ||||
\(556\) | −1.59641 | + | 4.91325i | −0.0677029 | + | 0.208368i | ||||
\(557\) | − | 12.1202i | − | 0.513548i | −0.966471 | − | 0.256774i | \(-0.917340\pi\) | ||
0.966471 | − | 0.256774i | \(-0.0826596\pi\) | |||||||
\(558\) | 3.24985 | + | 4.52090i | 0.137577 | + | 0.191385i | ||||
\(559\) | 22.4275 | 0.948583 | ||||||||
\(560\) | −3.26595 | + | 4.83376i | −0.138012 | + | 0.204264i | ||||
\(561\) | 2.29062 | + | 7.04980i | 0.0967099 | + | 0.297643i | ||||
\(562\) | −4.66489 | + | 6.42067i | −0.196777 | + | 0.270840i | ||||
\(563\) | − | 23.6343i | − | 0.996068i | −0.867157 | − | 0.498034i | \(-0.834055\pi\) | ||
0.867157 | − | 0.498034i | \(-0.165945\pi\) | |||||||
\(564\) | 9.65870 | 0.406705 | ||||||||
\(565\) | 21.9225 | + | 28.1051i | 0.922288 | + | 1.18239i | ||||
\(566\) | −5.54909 | + | 4.03165i | −0.233245 | + | 0.169463i | ||||
\(567\) | 1.53347 | + | 2.11064i | 0.0643997 | + | 0.0886386i | ||||
\(568\) | −10.8473 | − | 3.52449i | −0.455141 | − | 0.147884i | ||||
\(569\) | 14.7873 | + | 10.7436i | 0.619915 | + | 0.450395i | 0.852892 | − | 0.522087i | \(-0.174847\pi\) |
−0.232977 | + | 0.972482i | \(0.574847\pi\) | |||||||
\(570\) | 3.44446 | + | 2.32726i | 0.144273 | + | 0.0974783i | ||||
\(571\) | −2.63673 | − | 8.11503i | −0.110344 | − | 0.339603i | 0.880604 | − | 0.473854i | \(-0.157137\pi\) |
−0.990947 | + | 0.134250i | \(0.957137\pi\) | |||||||
\(572\) | 4.08285 | + | 5.61957i | 0.170713 | + | 0.234966i | ||||
\(573\) | 13.1656 | − | 4.27776i | 0.550000 | − | 0.178706i | ||||
\(574\) | 6.70677 | + | 20.6413i | 0.279935 | + | 0.861552i | ||||
\(575\) | 1.50511 | + | 22.0217i | 0.0627672 | + | 0.918368i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −32.2896 | − | 10.4915i | −1.34423 | − | 0.436768i | −0.453484 | − | 0.891264i | \(-0.649819\pi\) |
−0.890749 | + | 0.454496i | \(0.849819\pi\) | |||||||
\(578\) | 5.16041 | − | 7.10270i | 0.214645 | − | 0.295433i | ||||
\(579\) | −3.94645 | + | 12.1459i | −0.164009 | + | 0.504768i | ||||
\(580\) | −0.825292 | − | 2.27303i | −0.0342684 | − | 0.0943825i | ||||
\(581\) | 3.09875 | − | 2.25138i | 0.128558 | − | 0.0934028i | ||||
\(582\) | −1.18626 | + | 1.63274i | −0.0491720 | + | 0.0676794i | ||||
\(583\) | − | 2.15152i | − | 0.0891067i | ||||||
\(584\) | 12.5459 | 0.519154 | ||||||||
\(585\) | 6.54336 | + | 8.38871i | 0.270535 | + | 0.346830i | ||||
\(586\) | 10.0815 | + | 31.0277i | 0.416463 | + | 1.28174i | ||||
\(587\) | 23.2577 | + | 7.55690i | 0.959950 | + | 0.311907i | 0.746752 | − | 0.665103i | \(-0.231612\pi\) |
0.213198 | + | 0.977009i | \(0.431612\pi\) | |||||||
\(588\) | 0.193659i | 0.00798635i | ||||||||
\(589\) | −10.3507 | − | 0.0523040i | −0.426492 | − | 0.00215515i | ||||
\(590\) | 9.30799 | + | 2.67695i | 0.383204 | + | 0.110208i | ||||
\(591\) | 4.94550 | − | 15.2207i | 0.203431 | − | 0.626095i | ||||
\(592\) | 4.44908 | − | 1.44559i | 0.182856 | − | 0.0594135i | ||||
\(593\) | −7.65636 | + | 10.5381i | −0.314409 | + | 0.432747i | −0.936750 | − | 0.350000i | \(-0.886182\pi\) |
0.622341 | + | 0.782746i | \(0.286182\pi\) | |||||||
\(594\) | 1.45994 | 0.0599019 | ||||||||
\(595\) | 8.18664 | − | 28.4657i | 0.335620 | − | 1.16698i | ||||
\(596\) | −7.11228 | − | 5.16738i | −0.291330 | − | 0.211664i | ||||
\(597\) | −8.24324 | − | 11.3459i | −0.337373 | − | 0.464355i | ||||
\(598\) | −12.3459 | − | 16.9927i | −0.504861 | − | 0.694882i | ||||
\(599\) | 11.0471 | − | 33.9993i | 0.451370 | − | 1.38918i | −0.423974 | − | 0.905675i | \(-0.639365\pi\) |
0.875344 | − | 0.483501i | \(-0.160635\pi\) | |||||||
\(600\) | 1.86574 | + | 4.63886i | 0.0761685 | + | 0.189381i | ||||
\(601\) | 3.47202 | − | 10.6858i | 0.141627 | − | 0.435882i | −0.854935 | − | 0.518735i | \(-0.826403\pi\) |
0.996562 | + | 0.0828529i | \(0.0264032\pi\) | |||||||
\(602\) | −11.6959 | + | 3.80022i | −0.476689 | + | 0.154886i | ||||
\(603\) | −1.29126 | − | 1.77727i | −0.0525843 | − | 0.0723760i | ||||
\(604\) | −5.81506 | − | 17.8969i | −0.236612 | − | 0.728215i | ||||
\(605\) | −19.8192 | + | 0.676498i | −0.805766 | + | 0.0275036i | ||||
\(606\) | −5.04616 | + | 3.66625i | −0.204986 | + | 0.148931i | ||||
\(607\) | 31.7362 | − | 10.3117i | 1.28813 | − | 0.418540i | 0.416696 | − | 0.909046i | \(-0.363188\pi\) |
0.871438 | + | 0.490505i | \(0.163188\pi\) | |||||||
\(608\) | −1.76807 | − | 0.574481i | −0.0717047 | − | 0.0232983i | ||||
\(609\) | 2.28257 | + | 1.65839i | 0.0924946 | + | 0.0672012i | ||||
\(610\) | 1.11952 | − | 1.65694i | 0.0453278 | − | 0.0670874i | ||||
\(611\) | −37.1781 | + | 27.0115i | −1.50407 | + | 1.09277i | ||||
\(612\) | −2.98439 | − | 4.10766i | −0.120637 | − | 0.166042i | ||||
\(613\) | −19.3732 | + | 26.6650i | −0.782477 | + | 1.07699i | 0.212527 | + | 0.977155i | \(0.431831\pi\) |
−0.995004 | + | 0.0998322i | \(0.968169\pi\) | |||||||
\(614\) | 3.21654 | 0.129809 | ||||||||
\(615\) | 17.8773 | + | 5.14146i | 0.720884 | + | 0.207324i | ||||
\(616\) | −3.08140 | − | 2.23877i | −0.124153 | − | 0.0902026i | ||||
\(617\) | −25.3159 | + | 8.22563i | −1.01918 | + | 0.331152i | −0.770504 | − | 0.637435i | \(-0.779995\pi\) |
−0.248676 | + | 0.968587i | \(0.579995\pi\) | |||||||
\(618\) | −2.87221 | − | 0.933237i | −0.115537 | − | 0.0375403i | ||||
\(619\) | −22.4470 | −0.902219 | −0.451110 | − | 0.892469i | \(-0.648972\pi\) | ||||
−0.451110 | + | 0.892469i | \(0.648972\pi\) | |||||||
\(620\) | −10.2806 | − | 7.02205i | −0.412879 | − | 0.282012i | ||||
\(621\) | −4.41461 | −0.177152 | ||||||||
\(622\) | 3.99431 | + | 1.29783i | 0.160157 | + | 0.0520382i | ||||
\(623\) | 4.31366 | − | 1.40159i | 0.172823 | − | 0.0561536i | ||||
\(624\) | −3.84919 | − | 2.79660i | −0.154091 | − | 0.111954i | ||||
\(625\) | 10.8885 | + | 22.5042i | 0.435542 | + | 0.900169i | ||||
\(626\) | −3.01992 | −0.120700 | ||||||||
\(627\) | −1.59531 | + | 2.19576i | −0.0637106 | + | 0.0876901i | ||||
\(628\) | 13.4870 | + | 18.5633i | 0.538192 | + | 0.740757i | ||||
\(629\) | −19.2158 | + | 13.9611i | −0.766183 | + | 0.556664i | ||||
\(630\) | −4.83376 | − | 3.26595i | −0.192582 | − | 0.130119i | ||||
\(631\) | 20.3171 | + | 14.7612i | 0.808811 | + | 0.587636i | 0.913486 | − | 0.406871i | \(-0.133380\pi\) |
−0.104675 | + | 0.994507i | \(0.533380\pi\) | |||||||
\(632\) | 3.46940 | + | 1.12728i | 0.138005 | + | 0.0448407i | ||||
\(633\) | −0.535415 | + | 0.173967i | −0.0212809 | + | 0.00691457i | ||||
\(634\) | 10.1610 | − | 7.38243i | 0.403547 | − | 0.293194i | ||||
\(635\) | −0.187417 | − | 5.49071i | −0.00743741 | − | 0.217892i | ||||
\(636\) | 0.455400 | + | 1.40158i | 0.0180578 | + | 0.0555762i | ||||
\(637\) | −0.541586 | − | 0.745429i | −0.0214584 | − | 0.0295350i | ||||
\(638\) | 1.50159 | − | 0.487895i | 0.0594484 | − | 0.0193159i | ||||
\(639\) | 3.52449 | − | 10.8473i | 0.139426 | − | 0.429111i | ||||
\(640\) | −1.37527 | − | 1.76313i | −0.0543625 | − | 0.0696937i | ||||
\(641\) | −7.24021 | + | 22.2831i | −0.285971 | + | 0.880129i | 0.700135 | + | 0.714011i | \(0.253123\pi\) |
−0.986106 | + | 0.166118i | \(0.946877\pi\) | |||||||
\(642\) | 1.39348 | + | 1.91797i | 0.0549964 | + | 0.0756961i | ||||
\(643\) | 12.2372 | + | 16.8430i | 0.482587 | + | 0.664225i | 0.979000 | − | 0.203862i | \(-0.0653495\pi\) |
−0.496412 | + | 0.868087i | \(0.665350\pi\) | |||||||
\(644\) | 9.31766 | + | 6.76968i | 0.367167 | + | 0.266763i | ||||
\(645\) | −2.91328 | + | 10.1297i | −0.114710 | + | 0.398858i | ||||
\(646\) | 9.43908 | 0.371375 | ||||||||
\(647\) | 17.4051 | − | 23.9560i | 0.684264 | − | 0.941809i | −0.315711 | − | 0.948855i | \(-0.602243\pi\) |
0.999975 | + | 0.00704651i | \(0.00224299\pi\) | |||||||
\(648\) | −0.951057 | + | 0.309017i | −0.0373610 | + | 0.0121393i | ||||
\(649\) | −1.95408 | + | 6.01405i | −0.0767045 | + | 0.236072i | ||||
\(650\) | −20.1546 | − | 12.6381i | −0.790529 | − | 0.495708i | ||||
\(651\) | 14.5255 | + | 0.0734005i | 0.569301 | + | 0.00287679i | ||||
\(652\) | 21.9506i | 0.859654i | ||||||||
\(653\) | 11.1471 | + | 3.62191i | 0.436219 | + | 0.141736i | 0.518890 | − | 0.854841i | \(-0.326345\pi\) |
−0.0826716 | + | 0.996577i | \(0.526345\pi\) | |||||||
\(654\) | 0.533694 | + | 1.64254i | 0.0208691 | + | 0.0642285i | ||||
\(655\) | −26.7343 | + | 20.8533i | −1.04460 | + | 0.814806i | ||||
\(656\) | −8.31906 | −0.324805 | ||||||||
\(657\) | 12.5459i | 0.489463i | ||||||||
\(658\) | 14.8113 | − | 20.3861i | 0.577406 | − | 0.794731i | ||||
\(659\) | −1.47672 | + | 1.07290i | −0.0575247 | + | 0.0417941i | −0.616176 | − | 0.787608i | \(-0.711319\pi\) |
0.558651 | + | 0.829403i | \(0.311319\pi\) | |||||||
\(660\) | −3.06852 | + | 1.11412i | −0.119442 | + | 0.0433669i | ||||
\(661\) | −8.71960 | + | 26.8362i | −0.339153 | + | 1.04381i | 0.625487 | + | 0.780235i | \(0.284900\pi\) |
−0.964640 | + | 0.263571i | \(0.915100\pi\) | |||||||
\(662\) | −0.223291 | + | 0.307333i | −0.00867844 | + | 0.0119448i | ||||
\(663\) | 22.9749 | + | 7.46501i | 0.892273 | + | 0.289917i | ||||
\(664\) | 0.453685 | + | 1.39630i | 0.0176064 | + | 0.0541869i | ||||
\(665\) | 10.1940 | − | 3.70124i | 0.395307 | − | 0.143528i | ||||
\(666\) | 1.44559 | + | 4.44908i | 0.0560156 | + | 0.172398i | ||||
\(667\) | −4.54056 | + | 1.47532i | −0.175811 | + | 0.0571245i | ||||
\(668\) | −7.15860 | − | 9.85296i | −0.276974 | − | 0.381223i | ||||
\(669\) | 0.706161 | + | 2.17334i | 0.0273017 | + | 0.0840261i | ||||
\(670\) | 4.07028 | + | 2.75010i | 0.157249 | + | 0.106246i | ||||
\(671\) | 1.05625 | + | 0.767414i | 0.0407763 | + | 0.0296257i | ||||
\(672\) | 2.48121 | + | 0.806193i | 0.0957147 | + | 0.0310996i | ||||
\(673\) | −14.1205 | − | 19.4353i | −0.544307 | − | 0.749174i | 0.444919 | − | 0.895571i | \(-0.353232\pi\) |
−0.989226 | + | 0.146397i | \(0.953232\pi\) | |||||||
\(674\) | −17.4889 | + | 12.7064i | −0.673645 | + | 0.489432i | ||||
\(675\) | −4.63886 | + | 1.86574i | −0.178550 | + | 0.0718123i | ||||
\(676\) | 9.63721 | 0.370662 | ||||||||
\(677\) | − | 35.4285i | − | 1.36163i | −0.732457 | − | 0.680813i | \(-0.761627\pi\) | ||
0.732457 | − | 0.680813i | \(-0.238373\pi\) | |||||||
\(678\) | 9.36957 | − | 12.8961i | 0.359836 | − | 0.495272i | ||||
\(679\) | 1.62705 | + | 5.00753i | 0.0624403 | + | 0.192171i | ||||
\(680\) | 9.40730 | + | 6.35608i | 0.360754 | + | 0.243744i | ||||
\(681\) | 27.6462 | 1.05940 | ||||||||
\(682\) | 4.81103 | − | 6.55193i | 0.184224 | − | 0.250886i | ||||
\(683\) | − | 12.5875i | − | 0.481645i | −0.970569 | − | 0.240823i | \(-0.922583\pi\) | ||
0.970569 | − | 0.240823i | \(-0.0774172\pi\) | |||||||
\(684\) | 0.574481 | − | 1.76807i | 0.0219658 | − | 0.0676038i | ||||
\(685\) | 0.0732547 | + | 2.14613i | 0.00279892 | + | 0.0819993i | ||||
\(686\) | 15.1832 | + | 11.0313i | 0.579699 | + | 0.421176i | ||||
\(687\) | 18.5397i | 0.707335i | ||||||||
\(688\) | − | 4.71379i | − | 0.179711i | ||||||
\(689\) | −5.67257 | − | 4.12137i | −0.216108 | − | 0.157012i | ||||
\(690\) | 9.27871 | − | 3.36891i | 0.353234 | − | 0.128252i | ||||
\(691\) | −26.9201 | + | 19.5586i | −1.02409 | + | 0.744043i | −0.967117 | − | 0.254333i | \(-0.918144\pi\) |
−0.0569709 | + | 0.998376i | \(0.518144\pi\) | |||||||
\(692\) | 22.8869 | + | 7.43640i | 0.870029 | + | 0.282690i | ||||
\(693\) | 2.23877 | − | 3.08140i | 0.0850438 | − | 0.117053i | ||||
\(694\) | 3.93761 | − | 12.1187i | 0.149470 | − | 0.460020i | ||||
\(695\) | 11.5450 | − | 0.394071i | 0.437927 | − | 0.0149480i | ||||
\(696\) | −0.874919 | + | 0.635666i | −0.0331637 | + | 0.0240949i | ||||
\(697\) | 40.1714 | − | 13.0525i | 1.52160 | − | 0.494398i | ||||
\(698\) | 33.5845 | − | 10.9123i | 1.27119 | − | 0.413035i | ||||
\(699\) | 18.9480 | − | 13.7665i | 0.716677 | − | 0.520697i | ||||
\(700\) | 12.6520 | + | 3.17565i | 0.478202 | + | 0.120028i | ||||
\(701\) | −7.61791 | + | 23.4455i | −0.287725 | + | 0.885525i | 0.697844 | + | 0.716250i | \(0.254143\pi\) |
−0.985569 | + | 0.169276i | \(0.945857\pi\) | |||||||
\(702\) | 2.79660 | − | 3.84919i | 0.105551 | − | 0.145278i | ||||
\(703\) | −8.27109 | − | 2.68744i | −0.311950 | − | 0.101359i | ||||
\(704\) | 1.18111 | − | 0.858129i | 0.0445149 | − | 0.0323419i | ||||
\(705\) | −7.37082 | − | 20.3008i | −0.277601 | − | 0.764573i | ||||
\(706\) | 18.0736 | + | 13.1313i | 0.680211 | + | 0.494202i | ||||
\(707\) | 16.2727i | 0.611999i | ||||||||
\(708\) | − | 4.33139i | − | 0.162784i | ||||||
\(709\) | 7.27724 | + | 5.28722i | 0.273302 | + | 0.198566i | 0.715991 | − | 0.698110i | \(-0.245975\pi\) |
−0.442688 | + | 0.896676i | \(0.645975\pi\) | |||||||
\(710\) | 0.870013 | + | 25.4886i | 0.0326510 | + | 0.956569i | ||||
\(711\) | −1.12728 | + | 3.46940i | −0.0422762 | + | 0.130113i | ||||
\(712\) | 1.73853i | 0.0651542i | ||||||||
\(713\) | −14.5478 | + | 19.8120i | −0.544819 | + | 0.741965i | ||||
\(714\) | −13.2463 | −0.495729 | ||||||||
\(715\) | 8.69556 | − | 12.8699i | 0.325196 | − | 0.481305i | ||||
\(716\) | 3.37088 | + | 10.3745i | 0.125976 | + | 0.387714i | ||||
\(717\) | 6.93850 | − | 9.55003i | 0.259123 | − | 0.356652i | ||||
\(718\) | 28.1364i | 1.05004i | ||||||||
\(719\) | 8.11160 | 0.302512 | 0.151256 | − | 0.988495i | \(-0.451668\pi\) | ||||
0.151256 | + | 0.988495i | \(0.451668\pi\) | |||||||
\(720\) | 1.76313 | − | 1.37527i | 0.0657079 | − | 0.0512535i | ||||
\(721\) | −6.37418 | + | 4.63111i | −0.237387 | + | 0.172472i | ||||
\(722\) | −9.13648 | − | 12.5753i | −0.340024 | − | 0.468004i | ||||
\(723\) | 19.7930 | + | 6.43113i | 0.736109 | + | 0.239176i | ||||
\(724\) | 3.36970 | + | 2.44823i | 0.125234 | + | 0.0909877i | ||||
\(725\) | −4.14769 | + | 3.46922i | −0.154041 | + | 0.128844i | ||||
\(726\) | 2.74054 | + | 8.43453i | 0.101711 | + | 0.313035i | ||||
\(727\) | −5.62794 | − | 7.74619i | −0.208729 | − | 0.287290i | 0.691798 | − | 0.722091i | \(-0.256819\pi\) |
−0.900527 | + | 0.434801i | \(0.856819\pi\) | |||||||
\(728\) | −11.8052 | + | 3.83575i | −0.437531 | + | 0.142162i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −9.57414 | − | 26.3692i | −0.354355 | − | 0.975969i | ||||
\(731\) | 7.39586 | + | 22.7621i | 0.273546 | + | 0.841887i | ||||
\(732\) | −0.850518 | − | 0.276350i | −0.0314361 | − | 0.0102142i | ||||
\(733\) | −27.7464 | + | 38.1897i | −1.02484 | + | 1.41057i | −0.116083 | + | 0.993239i | \(0.537034\pi\) |
−0.908755 | + | 0.417330i | \(0.862966\pi\) | |||||||
\(734\) | −5.38086 | + | 16.5606i | −0.198611 | + | 0.611263i | ||||
\(735\) | 0.407035 | − | 0.147786i | 0.0150137 | − | 0.00545118i | ||||
\(736\) | −3.57150 | + | 2.59484i | −0.131647 | + | 0.0956472i | ||||
\(737\) | −1.88516 | + | 2.59470i | −0.0694407 | + | 0.0955770i | ||||
\(738\) | − | 8.31906i | − | 0.306229i | ||||||
\(739\) | 45.0761 | 1.65815 | 0.829075 | − | 0.559137i | \(-0.188868\pi\) | ||||
0.829075 | + | 0.559137i | \(0.188868\pi\) | |||||||
\(740\) | −6.43358 | − | 8.24797i | −0.236503 | − | 0.303202i | ||||
\(741\) | 2.73330 | + | 8.41222i | 0.100410 | + | 0.309031i | ||||
\(742\) | 3.65657 | + | 1.18809i | 0.134237 | + | 0.0436163i | ||||
\(743\) | 52.2621i | 1.91731i | 0.284569 | + | 0.958656i | \(0.408149\pi\) | ||||
−0.284569 | + | 0.958656i | \(0.591851\pi\) | |||||||
\(744\) | −1.74727 | + | 5.28650i | −0.0640580 | + | 0.193812i | ||||
\(745\) | −5.43330 | + | 18.8921i | −0.199061 | + | 0.692153i | ||||
\(746\) | 10.4971 | − | 32.3068i | 0.384327 | − | 1.18284i | ||||
\(747\) | −1.39630 | + | 0.453685i | −0.0510879 | + | 0.0165995i | ||||
\(748\) | −4.35701 | + | 5.99691i | −0.159308 | + | 0.219269i | ||||
\(749\) | 6.18501 | 0.225995 | ||||||||
\(750\) | 8.32624 | − | 7.46149i | 0.304031 | − | 0.272455i | ||||
\(751\) | 17.7962 | + | 12.9297i | 0.649392 | + | 0.471811i | 0.863064 | − | 0.505095i | \(-0.168542\pi\) |
−0.213672 | + | 0.976905i | \(0.568542\pi\) | |||||||
\(752\) | 5.67724 | + | 7.81405i | 0.207028 | + | 0.284949i | ||||
\(753\) | −2.74991 | − | 3.78493i | −0.100212 | − | 0.137931i | ||||
\(754\) | 1.59003 | − | 4.89360i | 0.0579053 | − | 0.178214i | ||||
\(755\) | −33.1784 | + | 25.8798i | −1.20749 | + | 0.941864i | ||||
\(756\) | −0.806193 | + | 2.48121i | −0.0293210 | + | 0.0902407i | ||||
\(757\) | 21.1136 | − | 6.86021i | 0.767385 | − | 0.249339i | 0.100940 | − | 0.994893i | \(-0.467815\pi\) |
0.666445 | + | 0.745554i | \(0.267815\pi\) | |||||||
\(758\) | −3.89031 | − | 5.35456i | −0.141303 | − | 0.194486i | ||||
\(759\) | 1.99163 | + | 6.12960i | 0.0722916 | + | 0.222491i | ||||
\(760\) | 0.141809 | + | 4.15456i | 0.00514397 | + | 0.150702i | ||||
\(761\) | −28.0817 | + | 20.4025i | −1.01796 | + | 0.739591i | −0.965864 | − | 0.259051i | \(-0.916590\pi\) |
−0.0520960 | + | 0.998642i | \(0.516590\pi\) | |||||||
\(762\) | −2.33670 | + | 0.759239i | −0.0846497 | + | 0.0275043i | ||||
\(763\) | 4.28522 | + | 1.39235i | 0.155135 | + | 0.0504066i | ||||
\(764\) | 11.1993 | + | 8.13678i | 0.405177 | + | 0.294378i | ||||
\(765\) | −6.35608 | + | 9.40730i | −0.229804 | + | 0.340122i | ||||
\(766\) | −11.4713 | + | 8.33438i | −0.414475 | + | 0.301134i | ||||
\(767\) | 12.1132 | + | 16.6723i | 0.437381 | + | 0.602003i | ||||
\(768\) | −0.587785 | + | 0.809017i | −0.0212099 | + | 0.0291929i | ||||
\(769\) | 38.9753 | 1.40549 | 0.702743 | − | 0.711443i | \(-0.251958\pi\) | ||||
0.702743 | + | 0.711443i | \(0.251958\pi\) | |||||||
\(770\) | −2.35398 | + | 8.18501i | −0.0848316 | + | 0.294967i | ||||
\(771\) | −15.9767 | − | 11.6077i | −0.575386 | − | 0.418043i | ||||
\(772\) | −12.1459 | + | 3.94645i | −0.437142 | + | 0.142036i | ||||
\(773\) | 6.82707 | + | 2.21825i | 0.245553 | + | 0.0797849i | 0.429208 | − | 0.903206i | \(-0.358793\pi\) |
−0.183655 | + | 0.982991i | \(0.558793\pi\) | |||||||
\(774\) | 4.71379 | 0.169434 | ||||||||
\(775\) | −6.91365 | + | 26.9667i | −0.248346 | + | 0.968671i | ||||
\(776\) | −2.01818 | −0.0724486 | ||||||||
\(777\) | 11.6072 | + | 3.77140i | 0.416405 | + | 0.135298i | ||||
\(778\) | 10.8794 | − | 3.53494i | 0.390046 | − | 0.126734i | ||||
\(779\) | 12.5119 | + | 9.09046i | 0.448287 | + | 0.325700i | ||||
\(780\) | −2.94052 | + | 10.2245i | −0.105287 | + | 0.366094i | ||||
\(781\) | −16.6513 | −0.595829 | ||||||||
\(782\) | 13.1749 | − | 18.1337i | 0.471134 | − | 0.648460i | ||||
\(783\) | −0.635666 | − | 0.874919i | −0.0227168 | − | 0.0312671i | ||||
\(784\) | −0.156673 | + | 0.113830i | −0.00559547 | + | 0.00406535i | ||||
\(785\) | 28.7244 | − | 42.5135i | 1.02522 | − | 1.51737i | ||||
\(786\) | 12.2671 | + | 8.91259i | 0.437554 | + | 0.317902i | ||||
\(787\) | −34.2730 | − | 11.1360i | −1.22170 | − | 0.396954i | −0.373999 | − | 0.927429i | \(-0.622013\pi\) |
−0.847700 | + | 0.530475i | \(0.822013\pi\) | |||||||
\(788\) | 15.2207 | − | 4.94550i | 0.542215 | − | 0.176176i | ||||
\(789\) | −20.1783 | + | 14.6604i | −0.718366 | + | 0.521924i | ||||
\(790\) | −0.278266 | − | 8.15231i | −0.00990027 | − | 0.290046i | ||||
\(791\) | −12.8511 | − | 39.5516i | −0.456933 | − | 1.40629i | ||||
\(792\) | 0.858129 | + | 1.18111i | 0.0304923 | + | 0.0419690i | ||||
\(793\) | 4.04665 | − | 1.31483i | 0.143701 | − | 0.0466912i | ||||
\(794\) | −1.87972 | + | 5.78517i | −0.0667086 | + | 0.205308i | ||||
\(795\) | 2.59833 | − | 2.02675i | 0.0921534 | − | 0.0718815i | ||||
\(796\) | 4.33373 | − | 13.3378i | 0.153605 | − | 0.472747i | ||||
\(797\) | 24.3472 | + | 33.5111i | 0.862424 | + | 1.18702i | 0.980986 | + | 0.194078i | \(0.0621714\pi\) |
−0.118563 | + | 0.992947i | \(0.537829\pi\) | |||||||
\(798\) | −2.85081 | − | 3.92381i | −0.100918 | − | 0.138901i | ||||
\(799\) | −39.6746 | − | 28.8253i | −1.40359 | − | 1.01977i | ||||
\(800\) | −2.65626 | + | 4.23607i | −0.0939130 | + | 0.149768i | ||||
\(801\) | −1.73853 | −0.0614280 | ||||||||
\(802\) | 20.3039 | − | 27.9459i | 0.716956 | − | 0.986805i | ||||
\(803\) | 17.4198 | − | 5.66003i | 0.614731 | − | 0.199738i | ||||
\(804\) | 0.678857 | − | 2.08931i | 0.0239414 | − | 0.0736842i | ||||
\(805\) | 7.11806 | − | 24.7502i | 0.250879 | − | 0.872328i | ||||
\(806\) | −8.05864 | − | 25.2351i | −0.283854 | − | 0.888870i | ||||
\(807\) | − | 18.8951i | − | 0.665139i | ||||||
\(808\) | −5.93212 | − | 1.92746i | −0.208691 | − | 0.0678079i | ||||
\(809\) | −10.2628 | − | 31.5858i | −0.360822 | − | 1.11050i | −0.952556 | − | 0.304363i | \(-0.901557\pi\) |
0.591734 | − | 0.806133i | \(-0.298443\pi\) | |||||||
\(810\) | 1.37527 | + | 1.76313i | 0.0483222 | + | 0.0619500i | ||||
\(811\) | −23.4552 | −0.823623 | −0.411811 | − | 0.911269i | \(-0.635104\pi\) | ||||
−0.411811 | + | 0.911269i | \(0.635104\pi\) | |||||||
\(812\) | 2.82142i | 0.0990123i | ||||||||
\(813\) | 15.4935 | − | 21.3250i | 0.543380 | − | 0.747899i | ||||
\(814\) | 5.52529 | − | 4.01436i | 0.193661 | − | 0.140703i | ||||
\(815\) | 46.1362 | − | 16.7511i | 1.61608 | − | 0.586767i | ||||
\(816\) | 1.56899 | − | 4.82884i | 0.0549255 | − | 0.169043i | ||||
\(817\) | −5.15088 | + | 7.08958i | −0.180207 | + | 0.248033i | ||||
\(818\) | −5.70155 | − | 1.85255i | −0.199350 | − | 0.0647728i | ||||
\(819\) | −3.83575 | − | 11.8052i | −0.134032 | − | 0.412508i | ||||
\(820\) | 6.34850 | + | 17.4851i | 0.221699 | + | 0.610608i | ||||
\(821\) | −9.64494 | − | 29.6841i | −0.336611 | − | 1.03598i | −0.965923 | − | 0.258829i | \(-0.916663\pi\) |
0.629313 | − | 0.777152i | \(-0.283337\pi\) | |||||||
\(822\) | 0.913334 | − | 0.296760i | 0.0318562 | − | 0.0103507i | ||||
\(823\) | 26.4718 | + | 36.4353i | 0.922749 | + | 1.27006i | 0.962621 | + | 0.270850i | \(0.0873049\pi\) |
−0.0398723 | + | 0.999205i | \(0.512695\pi\) | |||||||
\(824\) | −0.933237 | − | 2.87221i | −0.0325108 | − | 0.100058i | ||||
\(825\) | 4.68334 | + | 5.59925i | 0.163053 | + | 0.194941i | ||||
\(826\) | −9.14201 | − | 6.64206i | −0.318091 | − | 0.231107i | ||||
\(827\) | 28.2092 | + | 9.16573i | 0.980930 | + | 0.318723i | 0.755220 | − | 0.655471i | \(-0.227530\pi\) |
0.225710 | + | 0.974195i | \(0.427530\pi\) | |||||||
\(828\) | −2.59484 | − | 3.57150i | −0.0901771 | − | 0.124118i | ||||
\(829\) | 35.9303 | − | 26.1049i | 1.24791 | − | 0.906660i | 0.249812 | − | 0.968294i | \(-0.419631\pi\) |
0.998099 | + | 0.0616345i | \(0.0196313\pi\) | |||||||
\(830\) | 2.58855 | − | 2.01912i | 0.0898498 | − | 0.0700846i | ||||
\(831\) | 22.0233 | 0.763979 | ||||||||
\(832\) | − | 4.75786i | − | 0.164949i | ||||||
\(833\) | 0.577953 | − | 0.795484i | 0.0200249 | − | 0.0275619i | ||||
\(834\) | −1.59641 | − | 4.91325i | −0.0552792 | − | 0.170132i | ||||
\(835\) | −15.2462 | + | 22.5651i | −0.527617 | + | 0.780899i | ||||
\(836\) | −2.71410 | −0.0938693 | ||||||||
\(837\) | −5.28650 | − | 1.74727i | −0.182728 | − | 0.0603945i | ||||
\(838\) | 28.4211i | 0.981791i | ||||||||
\(839\) | 5.30216 | − | 16.3184i | 0.183051 | − | 0.563372i | −0.816859 | − | 0.576838i | \(-0.804286\pi\) |
0.999909 | + | 0.0134657i | \(0.00428641\pi\) | |||||||
\(840\) | −0.199007 | − | 5.83027i | −0.00686640 | − | 0.201164i | ||||
\(841\) | 22.5153 | + | 16.3583i | 0.776390 | + | 0.564080i | ||||
\(842\) | 23.8940i | 0.823441i | ||||||||
\(843\) | − | 7.93639i | − | 0.273344i | ||||||
\(844\) | −0.455452 | − | 0.330905i | −0.0156773 | − | 0.0113902i | ||||
\(845\) | −7.35442 | − | 20.2557i | −0.253000 | − | 0.696816i | ||||
\(846\) | −7.81405 | + | 5.67724i | −0.268653 | + | 0.195188i | ||||
\(847\) | 22.0048 | + | 7.14980i | 0.756094 | + | 0.245670i | ||||
\(848\) | −0.866223 | + | 1.19225i | −0.0297462 | + | 0.0409422i | ||||
\(849\) | 2.11956 | − | 6.52334i | 0.0727432 | − | 0.223880i | ||||
\(850\) | 6.18034 | − | 24.6229i | 0.211984 | − | 0.844560i | ||||
\(851\) | −16.7076 | + | 12.1388i | −0.572729 | + | 0.416112i | ||||
\(852\) | 10.8473 | − | 3.52449i | 0.371621 | − | 0.120747i | ||||
\(853\) | −40.3181 | + | 13.1002i | −1.38047 | + | 0.448541i | −0.902823 | − | 0.430013i | \(-0.858509\pi\) |
−0.477644 | + | 0.878554i | \(0.658509\pi\) | |||||||
\(854\) | −1.88752 | + | 1.37136i | −0.0645897 | + | 0.0469271i | ||||
\(855\) | −4.15456 | + | 0.141809i | −0.142083 | + | 0.00484978i | ||||
\(856\) | −0.732598 | + | 2.25470i | −0.0250397 | + | 0.0770642i | ||||
\(857\) | 22.2137 | − | 30.5745i | 0.758804 | − | 1.04440i | −0.238509 | − | 0.971140i | \(-0.576659\pi\) |
0.997313 | − | 0.0732637i | \(-0.0233415\pi\) | |||||||
\(858\) | −6.60620 | − | 2.14648i | −0.225532 | − | 0.0732797i | ||||
\(859\) | −31.9424 | + | 23.2075i | −1.08986 | + | 0.791830i | −0.979376 | − | 0.202048i | \(-0.935240\pi\) |
−0.110485 | + | 0.993878i | \(0.535240\pi\) | |||||||
\(860\) | −9.90752 | + | 3.59722i | −0.337844 | + | 0.122664i | ||||
\(861\) | −17.5586 | − | 12.7570i | −0.598394 | − | 0.434759i | ||||
\(862\) | − | 6.49880i | − | 0.221350i | ||||||
\(863\) | 37.2565i | 1.26823i | 0.773241 | + | 0.634113i | \(0.218634\pi\) | ||||
−0.773241 | + | 0.634113i | \(0.781366\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | −1.83566 | − | 53.7790i | −0.0624144 | − | 1.82854i | ||||
\(866\) | 6.06357 | − | 18.6618i | 0.206049 | − | 0.634152i | ||||
\(867\) | 8.77941i | 0.298165i | ||||||||
\(868\) | 8.47851 | + | 11.7945i | 0.287780 | + | 0.400333i | ||||
\(869\) | 5.32577 | 0.180664 | ||||||||
\(870\) | 2.00373 | + | 1.35383i | 0.0679328 | + | 0.0458990i | ||||
\(871\) | 3.22990 | + | 9.94062i | 0.109441 | + | 0.336825i | ||||
\(872\) | −1.01515 | + | 1.39723i | −0.0343772 | + | 0.0473162i | ||||
\(873\) | − | 2.01818i | − | 0.0683052i | ||||||
\(874\) | 8.20702 | 0.277607 | ||||||||
\(875\) | −2.98048 | − | 29.0157i | −0.100759 | − | 0.980909i | ||||
\(876\) | −10.1499 | + | 7.37431i | −0.342932 | + | 0.249155i | ||||
\(877\) | 4.29984 | + | 5.91822i | 0.145195 | + | 0.199844i | 0.875420 | − | 0.483363i | \(-0.160585\pi\) |
−0.730225 | + | 0.683207i | \(0.760585\pi\) | |||||||
\(878\) | 19.2778 | + | 6.26373i | 0.650594 | + | 0.211391i | ||||
\(879\) | −26.3937 | − | 19.1762i | −0.890238 | − | 0.646796i | ||||
\(880\) | −2.70497 | − | 1.82762i | −0.0911845 | − | 0.0616091i | ||||
\(881\) | −14.7602 | − | 45.4272i | −0.497283 | − | 1.53048i | −0.813368 | − | 0.581749i | \(-0.802368\pi\) |
0.316085 | − | 0.948731i | \(-0.397632\pi\) | |||||||
\(882\) | −0.113830 | − | 0.156673i | −0.00383285 | − | 0.00527546i | ||||
\(883\) | −43.9748 | + | 14.2883i | −1.47987 | + | 0.480839i | −0.934074 | − | 0.357080i | \(-0.883772\pi\) |
−0.545795 | + | 0.837918i | \(0.683772\pi\) | |||||||
\(884\) | 7.46501 | + | 22.9749i | 0.251075 | + | 0.772731i | ||||
\(885\) | −9.10379 | + | 3.30540i | −0.306021 | + | 0.111110i | ||||
\(886\) | −0.206190 | − | 0.634587i | −0.00692708 | − | 0.0213194i | ||||
\(887\) | −17.5663 | − | 5.70763i | −0.589818 | − | 0.191643i | −0.00112363 | − | 0.999999i | \(-0.500358\pi\) |
−0.588694 | + | 0.808356i | \(0.700358\pi\) | |||||||
\(888\) | −2.74968 | + | 3.78461i | −0.0922732 | + | 0.127003i | ||||
\(889\) | −1.98078 | + | 6.09620i | −0.0664331 | + | 0.204460i | ||||
\(890\) | 3.65407 | − | 1.32672i | 0.122485 | − | 0.0444718i | ||||
\(891\) | −1.18111 | + | 0.858129i | −0.0395688 | + | 0.0287484i | ||||
\(892\) | −1.34320 | + | 1.84875i | −0.0449736 | + | 0.0619008i | ||||
\(893\) | − | 17.9561i | − | 0.600877i | ||||||
\(894\) | 8.79127 | 0.294024 | ||||||||
\(895\) | 19.2329 | − | 15.0021i | 0.642885 | − | 0.501464i | ||||
\(896\) | 0.806193 | + | 2.48121i | 0.0269330 | + | 0.0828913i | ||||
\(897\) | 19.9761 | + | 6.49062i | 0.666982 | + | 0.216716i | ||||
\(898\) | 21.1276i | 0.705038i | ||||||||
\(899\) | −6.02124 | − | 0.0304265i | −0.200819 | − | 0.00101478i | ||||
\(900\) | −4.23607 | − | 2.65626i | −0.141202 | − | 0.0885421i | ||||
\(901\) | 2.31222 | − | 7.11630i | 0.0770314 | − | 0.237078i | ||||
\(902\) | −11.5509 | + | 3.75310i | −0.384601 | + | 0.124965i | ||||
\(903\) | 7.22845 | − | 9.94911i | 0.240548 | − | 0.331086i | ||||
\(904\) | 15.9405 | 0.530172 | ||||||||
\(905\) | 2.57422 | − | 8.95080i | 0.0855699 | − | 0.297535i | ||||
\(906\) | 15.2240 | + | 11.0609i | 0.505785 | + | 0.367474i | ||||
\(907\) | −27.9282 | − | 38.4399i | −0.927341 | − | 1.27638i | −0.960888 | − | 0.276938i | \(-0.910680\pi\) |
0.0335465 | − | 0.999437i | \(-0.489320\pi\) | |||||||
\(908\) | 16.2500 | + | 22.3662i | 0.539275 | + | 0.742249i | ||||
\(909\) | 1.92746 | − | 5.93212i | 0.0639299 | − | 0.196756i | ||||
\(910\) | 17.0710 | + | 21.8853i | 0.565897 | + | 0.725490i | ||||
\(911\) | 18.2126 | − | 56.0526i | 0.603410 | − | 1.85710i | 0.0960362 | − | 0.995378i | \(-0.469384\pi\) |
0.507373 | − | 0.861726i | \(-0.330616\pi\) | |||||||
\(912\) | 1.76807 | − | 0.574481i | 0.0585466 | − | 0.0190230i | ||||
\(913\) | 1.25987 | + | 1.73406i | 0.0416955 | + | 0.0573889i | ||||
\(914\) | −3.90276 | − | 12.0114i | −0.129092 | − | 0.397303i | ||||
\(915\) | 0.0682165 | + | 1.99852i | 0.00225517 | + | 0.0660692i | ||||
\(916\) | −14.9990 | + | 10.8974i | −0.495580 | + | 0.360060i | ||||
\(917\) | 37.6226 | − | 12.2243i | 1.24241 | − | 0.403683i | ||||
\(918\) | 4.82884 | + | 1.56899i | 0.159375 | + | 0.0517842i | ||||
\(919\) | 13.0684 | + | 9.49472i | 0.431085 | + | 0.313202i | 0.782083 | − | 0.623175i | \(-0.214157\pi\) |
−0.350997 | + | 0.936376i | \(0.614157\pi\) | |||||||
\(920\) | 8.17939 | + | 5.52644i | 0.269667 | + | 0.182201i | ||||
\(921\) | −2.60224 | + | 1.89064i | −0.0857466 | + | 0.0622986i | ||||
\(922\) | 8.00364 | + | 11.0161i | 0.263586 | + | 0.362795i | ||||
\(923\) | −31.8965 | + | 43.9018i | −1.04989 | + | 1.44505i | ||||
\(924\) | 3.80882 | 0.125301 | ||||||||
\(925\) | −12.4261 | + | 19.8165i | −0.408567 | + | 0.651562i | ||||
\(926\) | 19.0904 | + | 13.8700i | 0.627349 | + | 0.455796i | ||||
\(927\) | 2.87221 | − | 0.933237i | 0.0943357 | − | 0.0306515i | ||||
\(928\) | −1.02853 | − | 0.334189i | −0.0337631 | − | 0.0109703i | ||||
\(929\) | −51.6821 | −1.69564 | −0.847818 | − | 0.530288i | \(-0.822084\pi\) | ||||
−0.847818 | + | 0.530288i | \(0.822084\pi\) | |||||||
\(930\) | 12.4446 | − | 0.361831i | 0.408076 | − | 0.0118649i | ||||
\(931\) | 0.360023 | 0.0117993 | ||||||||
\(932\) | 22.2747 | + | 7.23747i | 0.729631 | + | 0.237071i | ||||
\(933\) | −3.99431 | + | 1.29783i | −0.130768 | + | 0.0424890i | ||||
\(934\) | −1.81372 | − | 1.31774i | −0.0593467 | − | 0.0431179i | ||||
\(935\) | 15.9294 | + | 4.58123i | 0.520946 | + | 0.149822i | ||||
\(936\) | 4.75786 | 0.155515 | ||||||||
\(937\) | −29.7872 | + | 40.9985i | −0.973104 | + | 1.33936i | −0.0326407 | + | 0.999467i | \(0.510392\pi\) |
−0.940463 | + | 0.339895i | \(0.889608\pi\) | |||||||
\(938\) | −3.36877 | − | 4.63671i | −0.109994 | − | 0.151394i | ||||
\(939\) | 2.44316 | − | 1.77506i | 0.0797297 | − | 0.0579270i | ||||
\(940\) | 12.0912 | − | 17.8956i | 0.394373 | − | 0.583691i | ||||
\(941\) | 22.9923 | + | 16.7049i | 0.749529 | + | 0.544565i | 0.895681 | − | 0.444698i | \(-0.146689\pi\) |
−0.146152 | + | 0.989262i | \(0.546689\pi\) | |||||||
\(942\) | −21.8225 | − | 7.09056i | −0.711015 | − | 0.231023i | ||||
\(943\) | 34.9279 | − | 11.3488i | 1.13741 | − | 0.369567i | ||||
\(944\) | 3.50417 | − | 2.54593i | 0.114051 | − | 0.0828629i | ||||
\(945\) | 5.83027 | − | 0.199007i | 0.189659 | − | 0.00647371i | ||||
\(946\) | −2.12660 | − | 6.54500i | −0.0691417 | − | 0.212796i | ||||
\(947\) | 17.4818 | + | 24.0616i | 0.568082 | + | 0.781898i | 0.992326 | − | 0.123650i | \(-0.0394601\pi\) |
−0.424244 | + | 0.905548i | \(0.639460\pi\) | |||||||
\(948\) | −3.46940 | + | 1.12728i | −0.112681 | + | 0.0366123i | ||||
\(949\) | 18.4458 | − | 56.7702i | 0.598775 | − | 1.84284i | ||||
\(950\) | 8.62391 | − | 3.46852i | 0.279797 | − | 0.112534i | ||||
\(951\) | −3.88118 | + | 11.9450i | −0.125856 | + | 0.387344i | ||||
\(952\) | −7.78596 | − | 10.7165i | −0.252344 | − | 0.347322i | ||||
\(953\) | −4.97527 | − | 6.84787i | −0.161165 | − | 0.221824i | 0.720796 | − | 0.693147i | \(-0.243777\pi\) |
−0.881961 | + | 0.471323i | \(0.843777\pi\) | |||||||
\(954\) | −1.19225 | − | 0.866223i | −0.0386006 | − | 0.0280450i | ||||
\(955\) | 8.55551 | − | 29.7483i | 0.276850 | − | 0.962633i | ||||
\(956\) | 11.8045 | 0.381784 | ||||||||
\(957\) | −0.928031 | + | 1.27733i | −0.0299990 | + | 0.0412901i | ||||
\(958\) | 25.8960 | − | 8.41411i | 0.836660 | − | 0.271847i | ||||
\(959\) | 0.774217 | − | 2.38279i | 0.0250008 | − | 0.0769445i | ||||
\(960\) | 2.14896 | + | 0.618034i | 0.0693574 | + | 0.0199470i | ||||
\(961\) | −25.2624 | + | 17.9670i | −0.814916 | + | 0.579579i | ||||
\(962\) | − | 22.2574i | − | 0.717608i | ||||||
\(963\) | −2.25470 | − | 0.732598i | −0.0726568 | − | 0.0236076i | ||||
\(964\) | 6.43113 | + | 19.7930i | 0.207133 | + | 0.637489i | ||||
\(965\) | 17.5636 | + | 22.5169i | 0.565393 | + | 0.724844i | ||||
\(966\) | −11.5173 | −0.370562 | ||||||||
\(967\) | − | 32.1088i | − | 1.03255i | −0.856423 | − | 0.516274i | \(-0.827319\pi\) | ||
0.856423 | − | 0.516274i | \(-0.172681\pi\) | |||||||
\(968\) | −5.21283 | + | 7.17484i | −0.167547 | + | 0.230608i | ||||
\(969\) | −7.63637 | + | 5.54815i | −0.245316 | + | 0.178232i | ||||
\(970\) | 1.54013 | + | 4.24185i | 0.0494506 | + | 0.136198i | ||||
\(971\) | −12.4203 | + | 38.2256i | −0.398585 | + | 1.22672i | 0.527549 | + | 0.849525i | \(0.323111\pi\) |
−0.926134 | + | 0.377195i | \(0.876889\pi\) | |||||||
\(972\) | 0.587785 | − | 0.809017i | 0.0188532 | − | 0.0259492i | ||||
\(973\) | −12.8182 | − | 4.16487i | −0.410931 | − | 0.133520i | ||||
\(974\) | 12.7719 | + | 39.3077i | 0.409237 | + | 1.25950i | ||||
\(975\) | 23.7339 | − | 1.62213i | 0.760094 | − | 0.0519497i | ||||
\(976\) | −0.276350 | − | 0.850518i | −0.00884575 | − | 0.0272244i | ||||
\(977\) | 20.3479 | − | 6.61144i | 0.650987 | − | 0.211519i | 0.0351378 | − | 0.999382i | \(-0.488813\pi\) |
0.615849 | + | 0.787864i | \(0.288813\pi\) | |||||||
\(978\) | −12.9023 | − | 17.7584i | −0.412569 | − | 0.567852i | ||||
\(979\) | 0.784329 | + | 2.41392i | 0.0250673 | + | 0.0771491i | ||||
\(980\) | 0.358811 | + | 0.242432i | 0.0114618 | + | 0.00774420i | ||||
\(981\) | −1.39723 | − | 1.01515i | −0.0446101 | − | 0.0324111i | ||||
\(982\) | 16.6080 | + | 5.39627i | 0.529983 | + | 0.172202i | ||||
\(983\) | −21.5434 | − | 29.6520i | −0.687129 | − | 0.945752i | 0.312863 | − | 0.949798i | \(-0.398712\pi\) |
−0.999992 | + | 0.00404612i | \(0.998712\pi\) | |||||||
\(984\) | 6.73026 | − | 4.88982i | 0.214553 | − | 0.155882i | ||||
\(985\) | −22.0099 | − | 28.2171i | −0.701293 | − | 0.899070i | ||||
\(986\) | 5.49094 | 0.174867 | ||||||||
\(987\) | 25.1985i | 0.802079i | ||||||||
\(988\) | −5.19904 | + | 7.15586i | −0.165403 | + | 0.227658i | ||||
\(989\) | 6.43050 | + | 19.7910i | 0.204478 | + | 0.629319i | ||||
\(990\) | 1.82762 | − | 2.70497i | 0.0580856 | − | 0.0859696i | ||||
\(991\) | −24.3097 | −0.772224 | −0.386112 | − | 0.922452i | \(-0.626182\pi\) | ||||
−0.386112 | + | 0.922452i | \(0.626182\pi\) | |||||||
\(992\) | −5.30389 | + | 1.69375i | −0.168399 | + | 0.0537767i | ||||
\(993\) | − | 0.379885i | − | 0.0120553i | ||||||
\(994\) | 9.19502 | − | 28.2994i | 0.291648 | − | 0.897601i | ||||
\(995\) | −31.3409 | + | 1.06977i | −0.993574 | + | 0.0339141i | ||||
\(996\) | −1.18776 | − | 0.862961i | −0.0376357 | − | 0.0273440i | ||||
\(997\) | 56.2831i | 1.78250i | 0.453510 | + | 0.891251i | \(0.350172\pi\) | ||||
−0.453510 | + | 0.891251i | \(0.649828\pi\) | |||||||
\(998\) | − | 2.81302i | − | 0.0890445i | ||||||
\(999\) | −3.78461 | − | 2.74968i | −0.119740 | − | 0.0869960i |
(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 | 930.2.z.c.349.1 | ✓ | 32 | |
5.4 | even | 2 | inner | 930.2.z.c.349.8 | yes | 32 | |
31.4 | even | 5 | inner | 930.2.z.c.469.6 | yes | 32 | |
155.4 | even | 10 | inner | 930.2.z.c.469.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.z.c.349.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
930.2.z.c.349.8 | yes | 32 | 5.4 | even | 2 | inner | |
930.2.z.c.469.3 | yes | 32 | 155.4 | even | 10 | inner | |
930.2.z.c.469.6 | yes | 32 | 31.4 | even | 5 | inner |