Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(169,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.169");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bh (of order \(6\), degree \(2\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 169.13 | ||
Character | \(\chi\) | \(=\) | 315.169 |
Dual form | 315.2.bh.c.274.13 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.719518 | − | 0.415414i | −0.508776 | − | 0.293742i | 0.223554 | − | 0.974692i | \(-0.428234\pi\) |
−0.732331 | + | 0.680949i | \(0.761567\pi\) | |||||||
\(3\) | 1.08800 | − | 1.34768i | 0.628158 | − | 0.778086i | ||||
\(4\) | −0.654862 | − | 1.13425i | −0.327431 | − | 0.567127i | ||||
\(5\) | 1.82483 | − | 1.29228i | 0.816090 | − | 0.577925i | ||||
\(6\) | −1.34268 | + | 0.517712i | −0.548149 | + | 0.211355i | ||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 2.74981i | 0.972206i | ||||||||
\(9\) | −0.632505 | − | 2.93256i | −0.210835 | − | 0.977522i | ||||
\(10\) | −1.84983 | + | 0.171758i | −0.584968 | + | 0.0543148i | ||||
\(11\) | 0.813674 | − | 1.40932i | 0.245332 | − | 0.424927i | −0.716893 | − | 0.697183i | \(-0.754436\pi\) |
0.962225 | + | 0.272256i | \(0.0877697\pi\) | |||||||
\(12\) | −2.24111 | − | 0.351523i | −0.646952 | − | 0.101476i | ||||
\(13\) | 4.28497 | − | 2.47393i | 1.18844 | − | 0.686144i | 0.230485 | − | 0.973076i | \(-0.425969\pi\) |
0.957951 | + | 0.286932i | \(0.0926355\pi\) | |||||||
\(14\) | −0.415414 | − | 0.719518i | −0.111024 | − | 0.192299i | ||||
\(15\) | 0.243835 | − | 3.86530i | 0.0629578 | − | 0.998016i | ||||
\(16\) | −0.167413 | + | 0.289968i | −0.0418533 | + | 0.0724920i | ||||
\(17\) | 6.45735i | 1.56614i | 0.621935 | + | 0.783069i | \(0.286347\pi\) | ||||
−0.621935 | + | 0.783069i | \(0.713653\pi\) | |||||||
\(18\) | −0.763130 | + | 2.37279i | −0.179871 | + | 0.559271i | ||||
\(19\) | −7.27402 | −1.66878 | −0.834388 | − | 0.551178i | \(-0.814179\pi\) | ||||
−0.834388 | + | 0.551178i | \(0.814179\pi\) | |||||||
\(20\) | −2.66079 | − | 1.22356i | −0.594970 | − | 0.273596i | ||||
\(21\) | 1.61608 | − | 0.623128i | 0.352657 | − | 0.135978i | ||||
\(22\) | −1.17091 | + | 0.676023i | −0.249638 | + | 0.144129i | ||||
\(23\) | −2.44296 | + | 1.41044i | −0.509393 | + | 0.294098i | −0.732584 | − | 0.680677i | \(-0.761686\pi\) |
0.223191 | + | 0.974775i | \(0.428353\pi\) | |||||||
\(24\) | 3.70588 | + | 2.99180i | 0.756459 | + | 0.610699i | ||||
\(25\) | 1.66002 | − | 4.71639i | 0.332005 | − | 0.943278i | ||||
\(26\) | −4.11082 | −0.806197 | ||||||||
\(27\) | −4.64034 | − | 2.33822i | −0.893033 | − | 0.449990i | ||||
\(28\) | − | 1.30972i | − | 0.247515i | ||||||
\(29\) | −2.54087 | + | 4.40091i | −0.471827 | + | 0.817229i | −0.999480 | − | 0.0322309i | \(-0.989739\pi\) |
0.527653 | + | 0.849460i | \(0.323072\pi\) | |||||||
\(30\) | −1.78114 | + | 2.67986i | −0.325191 | + | 0.489274i | ||||
\(31\) | 0.485008 | + | 0.840058i | 0.0871100 | + | 0.150879i | 0.906288 | − | 0.422660i | \(-0.138904\pi\) |
−0.819178 | + | 0.573539i | \(0.805570\pi\) | |||||||
\(32\) | 5.00373 | − | 2.88890i | 0.884543 | − | 0.510691i | ||||
\(33\) | −1.01405 | − | 2.62992i | −0.176523 | − | 0.457811i | ||||
\(34\) | 2.68248 | − | 4.64619i | 0.460041 | − | 0.796814i | ||||
\(35\) | 2.22649 | − | 0.206732i | 0.376346 | − | 0.0349440i | ||||
\(36\) | −2.91207 | + | 2.63785i | −0.485345 | + | 0.439641i | ||||
\(37\) | − | 11.7481i | − | 1.93137i | −0.259709 | − | 0.965687i | \(-0.583627\pi\) | ||
0.259709 | − | 0.965687i | \(-0.416373\pi\) | |||||||
\(38\) | 5.23379 | + | 3.02173i | 0.849034 | + | 0.490190i | ||||
\(39\) | 1.32798 | − | 8.46641i | 0.212647 | − | 1.35571i | ||||
\(40\) | 3.55353 | + | 5.01795i | 0.561862 | + | 0.793407i | ||||
\(41\) | 2.24906 | + | 3.89549i | 0.351244 | + | 0.608373i | 0.986468 | − | 0.163955i | \(-0.0524253\pi\) |
−0.635223 | + | 0.772328i | \(0.719092\pi\) | |||||||
\(42\) | −1.42165 | − | 0.222990i | −0.219366 | − | 0.0344081i | ||||
\(43\) | 8.11350 | + | 4.68433i | 1.23730 | + | 0.714354i | 0.968541 | − | 0.248854i | \(-0.0800540\pi\) |
0.268757 | + | 0.963208i | \(0.413387\pi\) | |||||||
\(44\) | −2.13138 | −0.321317 | ||||||||
\(45\) | −4.94391 | − | 4.53406i | −0.736995 | − | 0.675898i | ||||
\(46\) | 2.34367 | 0.345556 | ||||||||
\(47\) | 1.71295 | + | 0.988971i | 0.249859 | + | 0.144256i | 0.619700 | − | 0.784839i | \(-0.287254\pi\) |
−0.369841 | + | 0.929095i | \(0.620588\pi\) | |||||||
\(48\) | 0.208640 | + | 0.541106i | 0.0301145 | + | 0.0781019i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −3.15367 | + | 2.70393i | −0.445997 | + | 0.382394i | ||||
\(51\) | 8.70247 | + | 7.02561i | 1.21859 | + | 0.983782i | ||||
\(52\) | −5.61212 | − | 3.24016i | −0.778261 | − | 0.449329i | ||||
\(53\) | 8.60079i | 1.18141i | 0.806888 | + | 0.590705i | \(0.201150\pi\) | ||||
−0.806888 | + | 0.590705i | \(0.798850\pi\) | |||||||
\(54\) | 2.36748 | + | 3.61005i | 0.322173 | + | 0.491266i | ||||
\(55\) | −0.336424 | − | 3.62328i | −0.0453634 | − | 0.488562i | ||||
\(56\) | −1.37491 | + | 2.38141i | −0.183730 | + | 0.318229i | ||||
\(57\) | −7.91415 | + | 9.80309i | −1.04825 | + | 1.29845i | ||||
\(58\) | 3.65640 | − | 2.11103i | 0.480109 | − | 0.277191i | ||||
\(59\) | 0.259322 | + | 0.449159i | 0.0337609 | + | 0.0584756i | 0.882412 | − | 0.470477i | \(-0.155918\pi\) |
−0.848651 | + | 0.528953i | \(0.822585\pi\) | |||||||
\(60\) | −4.54391 | + | 2.25467i | −0.586617 | + | 0.291076i | ||||
\(61\) | 1.92279 | − | 3.33037i | 0.246188 | − | 0.426410i | −0.716277 | − | 0.697816i | \(-0.754155\pi\) |
0.962465 | + | 0.271406i | \(0.0874886\pi\) | |||||||
\(62\) | − | 0.805916i | − | 0.102351i | ||||||
\(63\) | 0.918517 | − | 2.85593i | 0.115722 | − | 0.359813i | ||||
\(64\) | −4.13071 | −0.516339 | ||||||||
\(65\) | 4.62234 | − | 10.0519i | 0.573330 | − | 1.24678i | ||||
\(66\) | −0.362883 | + | 2.31353i | −0.0446678 | + | 0.284776i | ||||
\(67\) | 3.22570 | − | 1.86236i | 0.394082 | − | 0.227523i | −0.289845 | − | 0.957073i | \(-0.593604\pi\) |
0.683927 | + | 0.729550i | \(0.260271\pi\) | |||||||
\(68\) | 7.32428 | − | 4.22868i | 0.888200 | − | 0.512802i | ||||
\(69\) | −0.757112 | + | 4.82691i | −0.0911456 | + | 0.581091i | ||||
\(70\) | −1.68788 | − | 0.776169i | −0.201740 | − | 0.0927699i | ||||
\(71\) | −1.38612 | −0.164502 | −0.0822508 | − | 0.996612i | \(-0.526211\pi\) | ||||
−0.0822508 | + | 0.996612i | \(0.526211\pi\) | |||||||
\(72\) | 8.06400 | − | 1.73927i | 0.950352 | − | 0.204975i | ||||
\(73\) | 9.06190i | 1.06061i | 0.847805 | + | 0.530307i | \(0.177924\pi\) | ||||
−0.847805 | + | 0.530307i | \(0.822076\pi\) | |||||||
\(74\) | −4.88032 | + | 8.45297i | −0.567326 | + | 0.982637i | ||||
\(75\) | −4.55009 | − | 7.36863i | −0.525400 | − | 0.850856i | ||||
\(76\) | 4.76348 | + | 8.25060i | 0.546409 | + | 0.946408i | ||||
\(77\) | 1.40932 | − | 0.813674i | 0.160607 | − | 0.0927268i | ||||
\(78\) | −4.47257 | + | 5.54008i | −0.506419 | + | 0.627291i | ||||
\(79\) | −2.59833 | + | 4.50044i | −0.292335 | + | 0.506339i | −0.974361 | − | 0.224989i | \(-0.927765\pi\) |
0.682027 | + | 0.731327i | \(0.261099\pi\) | |||||||
\(80\) | 0.0692192 | + | 0.745488i | 0.00773894 | + | 0.0833481i | ||||
\(81\) | −8.19987 | + | 3.70972i | −0.911097 | + | 0.412192i | ||||
\(82\) | − | 3.73717i | − | 0.412701i | ||||||
\(83\) | 2.41970 | + | 1.39701i | 0.265596 | + | 0.153342i | 0.626885 | − | 0.779112i | \(-0.284330\pi\) |
−0.361289 | + | 0.932454i | \(0.617663\pi\) | |||||||
\(84\) | −1.76509 | − | 1.42498i | −0.192588 | − | 0.155478i | ||||
\(85\) | 8.34471 | + | 11.7836i | 0.905111 | + | 1.27811i | ||||
\(86\) | −3.89188 | − | 6.74093i | −0.419672 | − | 0.726893i | ||||
\(87\) | 3.16657 | + | 8.21249i | 0.339492 | + | 0.880471i | ||||
\(88\) | 3.87538 | + | 2.23745i | 0.413117 | + | 0.238513i | ||||
\(89\) | 10.7409 | 1.13853 | 0.569267 | − | 0.822153i | \(-0.307227\pi\) | ||||
0.569267 | + | 0.822153i | \(0.307227\pi\) | |||||||
\(90\) | 1.67372 | + | 5.31611i | 0.176426 | + | 0.560368i | ||||
\(91\) | 4.94785 | 0.518676 | ||||||||
\(92\) | 3.19961 | + | 1.84729i | 0.333582 | + | 0.192594i | ||||
\(93\) | 1.65982 | + | 0.260347i | 0.172116 | + | 0.0269968i | ||||
\(94\) | −0.821665 | − | 1.42317i | −0.0847483 | − | 0.146788i | ||||
\(95\) | −13.2739 | + | 9.40008i | −1.36187 | + | 0.964428i | ||||
\(96\) | 1.55073 | − | 9.88658i | 0.158271 | − | 1.00904i | ||||
\(97\) | −1.87765 | − | 1.08406i | −0.190646 | − | 0.110070i | 0.401639 | − | 0.915798i | \(-0.368441\pi\) |
−0.592285 | + | 0.805728i | \(0.701774\pi\) | |||||||
\(98\) | − | 0.830828i | − | 0.0839263i | ||||||
\(99\) | −4.64759 | − | 1.49475i | −0.467100 | − | 0.150228i | ||||
\(100\) | −6.43667 | + | 1.20570i | −0.643667 | + | 0.120570i | ||||
\(101\) | 8.32942 | − | 14.4270i | 0.828809 | − | 1.43554i | −0.0701646 | − | 0.997535i | \(-0.522352\pi\) |
0.898973 | − | 0.438003i | \(-0.144314\pi\) | |||||||
\(102\) | −3.34305 | − | 8.67019i | −0.331011 | − | 0.858476i | ||||
\(103\) | −1.08308 | + | 0.625319i | −0.106720 | + | 0.0616145i | −0.552410 | − | 0.833573i | \(-0.686292\pi\) |
0.445690 | + | 0.895187i | \(0.352958\pi\) | |||||||
\(104\) | 6.80283 | + | 11.7829i | 0.667073 | + | 1.15540i | ||||
\(105\) | 2.14382 | − | 3.22553i | 0.209215 | − | 0.314780i | ||||
\(106\) | 3.57289 | − | 6.18843i | 0.347030 | − | 0.601073i | ||||
\(107\) | 7.25745i | 0.701604i | 0.936450 | + | 0.350802i | \(0.114091\pi\) | ||||
−0.936450 | + | 0.350802i | \(0.885909\pi\) | |||||||
\(108\) | 0.386647 | + | 6.79453i | 0.0372051 | + | 0.653804i | ||||
\(109\) | 2.18289 | 0.209083 | 0.104542 | − | 0.994521i | \(-0.466662\pi\) | ||||
0.104542 | + | 0.994521i | \(0.466662\pi\) | |||||||
\(110\) | −1.26310 | + | 2.74677i | −0.120432 | + | 0.261894i | ||||
\(111\) | −15.8327 | − | 12.7819i | −1.50277 | − | 1.21321i | ||||
\(112\) | −0.289968 | + | 0.167413i | −0.0273994 | + | 0.0158191i | ||||
\(113\) | 3.28661 | − | 1.89753i | 0.309179 | − | 0.178504i | −0.337380 | − | 0.941368i | \(-0.609541\pi\) |
0.646559 | + | 0.762864i | \(0.276207\pi\) | |||||||
\(114\) | 9.76672 | − | 3.76585i | 0.914737 | − | 0.352704i | ||||
\(115\) | −2.63530 | + | 5.73081i | −0.245743 | + | 0.534401i | ||||
\(116\) | 6.65567 | 0.617964 | ||||||||
\(117\) | −9.96521 | − | 11.0012i | −0.921284 | − | 1.01706i | ||||
\(118\) | − | 0.430905i | − | 0.0396680i | ||||||
\(119\) | −3.22868 | + | 5.59223i | −0.295972 | + | 0.512639i | ||||
\(120\) | 10.6289 | + | 0.670499i | 0.970277 | + | 0.0612079i | ||||
\(121\) | 4.17587 | + | 7.23282i | 0.379624 | + | 0.657529i | ||||
\(122\) | −2.76697 | + | 1.59751i | −0.250509 | + | 0.144632i | ||||
\(123\) | 7.69687 | + | 1.20727i | 0.694003 | + | 0.108856i | ||||
\(124\) | 0.635227 | − | 1.10024i | 0.0570450 | − | 0.0988049i | ||||
\(125\) | −3.06563 | − | 10.7518i | −0.274198 | − | 0.961673i | ||||
\(126\) | −1.84728 | + | 1.67333i | −0.164569 | + | 0.149072i | ||||
\(127\) | 16.9697i | 1.50582i | 0.658125 | + | 0.752909i | \(0.271350\pi\) | ||||
−0.658125 | + | 0.752909i | \(0.728650\pi\) | |||||||
\(128\) | −7.03533 | − | 4.06185i | −0.621841 | − | 0.359020i | ||||
\(129\) | 15.1405 | − | 5.83788i | 1.33305 | − | 0.513996i | ||||
\(130\) | −7.50155 | + | 5.31233i | −0.657929 | + | 0.465922i | ||||
\(131\) | −9.39321 | − | 16.2695i | −0.820688 | − | 1.42147i | −0.905170 | − | 0.425049i | \(-0.860257\pi\) |
0.0844818 | − | 0.996425i | \(-0.473077\pi\) | |||||||
\(132\) | −2.31894 | + | 2.87242i | −0.201838 | + | 0.250012i | ||||
\(133\) | −6.29949 | − | 3.63701i | −0.546235 | − | 0.315369i | ||||
\(134\) | −3.09460 | −0.267333 | ||||||||
\(135\) | −11.4895 | + | 1.72976i | −0.988856 | + | 0.148874i | ||||
\(136\) | −17.7565 | −1.52261 | ||||||||
\(137\) | −5.59538 | − | 3.23049i | −0.478046 | − | 0.276000i | 0.241556 | − | 0.970387i | \(-0.422342\pi\) |
−0.719602 | + | 0.694387i | \(0.755676\pi\) | |||||||
\(138\) | 2.54992 | − | 3.15853i | 0.217064 | − | 0.268872i | ||||
\(139\) | −6.92754 | − | 11.9989i | −0.587586 | − | 1.01773i | −0.994548 | − | 0.104284i | \(-0.966745\pi\) |
0.406961 | − | 0.913445i | \(-0.366588\pi\) | |||||||
\(140\) | −1.69253 | − | 2.39003i | −0.143045 | − | 0.201994i | ||||
\(141\) | 3.19651 | − | 1.23251i | 0.269195 | − | 0.103796i | ||||
\(142\) | 0.997335 | + | 0.575812i | 0.0836945 | + | 0.0483211i | ||||
\(143\) | − | 8.05188i | − | 0.673332i | ||||||
\(144\) | 0.956240 | + | 0.307544i | 0.0796867 | + | 0.0256286i | ||||
\(145\) | 1.05056 | + | 11.3144i | 0.0872439 | + | 0.939613i | ||||
\(146\) | 3.76444 | − | 6.52020i | 0.311547 | − | 0.539616i | ||||
\(147\) | 1.71113 | + | 0.268395i | 0.141132 | + | 0.0221368i | ||||
\(148\) | −13.3253 | + | 7.69338i | −1.09533 | + | 0.632392i | ||||
\(149\) | −0.499136 | − | 0.864529i | −0.0408908 | − | 0.0708249i | 0.844856 | − | 0.534994i | \(-0.179686\pi\) |
−0.885746 | + | 0.464169i | \(0.846353\pi\) | |||||||
\(150\) | 0.212845 | + | 7.19204i | 0.0173787 | + | 0.587227i | ||||
\(151\) | 0.581647 | − | 1.00744i | 0.0473338 | − | 0.0819845i | −0.841388 | − | 0.540432i | \(-0.818261\pi\) |
0.888722 | + | 0.458447i | \(0.151594\pi\) | |||||||
\(152\) | − | 20.0022i | − | 1.62239i | ||||||
\(153\) | 18.9366 | − | 4.08431i | 1.53093 | − | 0.330197i | ||||
\(154\) | −1.35205 | −0.108951 | ||||||||
\(155\) | 1.97065 | + | 0.906199i | 0.158286 | + | 0.0727877i | ||||
\(156\) | −10.4727 | + | 4.03807i | −0.838488 | + | 0.323304i | ||||
\(157\) | 9.29951 | − | 5.36907i | 0.742182 | − | 0.428499i | −0.0806803 | − | 0.996740i | \(-0.525709\pi\) |
0.822862 | + | 0.568241i | \(0.192376\pi\) | |||||||
\(158\) | 3.73909 | − | 2.15876i | 0.297466 | − | 0.171742i | ||||
\(159\) | 11.5912 | + | 9.35768i | 0.919238 | + | 0.742112i | ||||
\(160\) | 5.39769 | − | 11.7380i | 0.426725 | − | 0.927969i | ||||
\(161\) | −2.82089 | −0.222317 | ||||||||
\(162\) | 7.44103 | + | 0.737129i | 0.584623 | + | 0.0579143i | ||||
\(163\) | − | 6.03397i | − | 0.472617i | −0.971678 | − | 0.236308i | \(-0.924062\pi\) | ||
0.971678 | − | 0.236308i | \(-0.0759376\pi\) | |||||||
\(164\) | 2.94565 | − | 5.10202i | 0.230017 | − | 0.398400i | ||||
\(165\) | −5.24906 | − | 3.48874i | −0.408639 | − | 0.271598i | ||||
\(166\) | −1.16068 | − | 2.01035i | −0.0900860 | − | 0.156034i | ||||
\(167\) | 1.54140 | − | 0.889927i | 0.119277 | − | 0.0688646i | −0.439174 | − | 0.898402i | \(-0.644729\pi\) |
0.558452 | + | 0.829537i | \(0.311396\pi\) | |||||||
\(168\) | 1.71349 | + | 4.44391i | 0.132198 | + | 0.342855i | ||||
\(169\) | 5.74062 | − | 9.94304i | 0.441586 | − | 0.764849i | ||||
\(170\) | −1.10910 | − | 11.9450i | −0.0850645 | − | 0.916141i | ||||
\(171\) | 4.60086 | + | 21.3315i | 0.351836 | + | 1.63126i | ||||
\(172\) | − | 12.2704i | − | 0.935607i | ||||||
\(173\) | −9.11568 | − | 5.26294i | −0.693052 | − | 0.400134i | 0.111702 | − | 0.993742i | \(-0.464370\pi\) |
−0.804754 | + | 0.593608i | \(0.797703\pi\) | |||||||
\(174\) | 1.13318 | − | 7.22448i | 0.0859059 | − | 0.547686i | ||||
\(175\) | 3.79582 | − | 3.25450i | 0.286937 | − | 0.246017i | ||||
\(176\) | 0.272440 | + | 0.471879i | 0.0205359 | + | 0.0355692i | ||||
\(177\) | 0.887468 | + | 0.139202i | 0.0667062 | + | 0.0104630i | ||||
\(178\) | −7.72828 | − | 4.46192i | −0.579259 | − | 0.334435i | ||||
\(179\) | −20.6820 | −1.54585 | −0.772923 | − | 0.634499i | \(-0.781206\pi\) | ||||
−0.772923 | + | 0.634499i | \(0.781206\pi\) | |||||||
\(180\) | −1.90520 | + | 8.57684i | −0.142005 | + | 0.639280i | ||||
\(181\) | 9.97025 | 0.741083 | 0.370541 | − | 0.928816i | \(-0.379172\pi\) | ||||
0.370541 | + | 0.928816i | \(0.379172\pi\) | |||||||
\(182\) | −3.56007 | − | 2.05541i | −0.263890 | − | 0.152357i | ||||
\(183\) | −2.39629 | − | 6.21476i | −0.177139 | − | 0.459408i | ||||
\(184\) | −3.87846 | − | 6.71769i | −0.285924 | − | 0.495234i | ||||
\(185\) | −15.1818 | − | 21.4383i | −1.11619 | − | 1.57617i | ||||
\(186\) | −1.08612 | − | 0.876838i | −0.0796382 | − | 0.0642929i | ||||
\(187\) | 9.10051 | + | 5.25418i | 0.665495 | + | 0.384224i | ||||
\(188\) | − | 2.59056i | − | 0.188936i | ||||||
\(189\) | −2.84954 | − | 4.34513i | −0.207274 | − | 0.316061i | ||||
\(190\) | 13.4557 | − | 1.24937i | 0.976181 | − | 0.0906392i | ||||
\(191\) | −9.45013 | + | 16.3681i | −0.683788 | + | 1.18435i | 0.290029 | + | 0.957018i | \(0.406335\pi\) |
−0.973816 | + | 0.227337i | \(0.926998\pi\) | |||||||
\(192\) | −4.49422 | + | 5.56690i | −0.324343 | + | 0.401756i | ||||
\(193\) | −10.6291 | + | 6.13672i | −0.765101 | + | 0.441731i | −0.831124 | − | 0.556087i | \(-0.812302\pi\) |
0.0660234 | + | 0.997818i | \(0.478969\pi\) | |||||||
\(194\) | 0.900669 | + | 1.56000i | 0.0646643 | + | 0.112002i | ||||
\(195\) | −8.51764 | − | 17.1659i | −0.609961 | − | 1.22928i | ||||
\(196\) | 0.654862 | − | 1.13425i | 0.0467759 | − | 0.0810182i | ||||
\(197\) | 16.2775i | 1.15972i | 0.814715 | + | 0.579862i | \(0.196893\pi\) | ||||
−0.814715 | + | 0.579862i | \(0.803107\pi\) | |||||||
\(198\) | 2.72309 | + | 3.00617i | 0.193521 | + | 0.213639i | ||||
\(199\) | −21.6571 | −1.53523 | −0.767616 | − | 0.640910i | \(-0.778557\pi\) | ||||
−0.767616 | + | 0.640910i | \(0.778557\pi\) | |||||||
\(200\) | 12.9692 | + | 4.56475i | 0.917060 | + | 0.322777i | ||||
\(201\) | 0.999695 | − | 6.37347i | 0.0705130 | − | 0.449550i | ||||
\(202\) | −11.9863 | + | 6.92032i | −0.843357 | + | 0.486912i | ||||
\(203\) | −4.40091 | + | 2.54087i | −0.308884 | + | 0.178334i | ||||
\(204\) | 2.26991 | − | 14.4716i | 0.158926 | − | 1.01322i | ||||
\(205\) | 9.13822 | + | 4.20219i | 0.638241 | + | 0.293494i | ||||
\(206\) | 1.03907 | 0.0723952 | ||||||||
\(207\) | 5.68140 | + | 6.27203i | 0.394885 | + | 0.435936i | ||||
\(208\) | 1.65667i | 0.114869i | ||||||||
\(209\) | −5.91868 | + | 10.2515i | −0.409404 | + | 0.709109i | ||||
\(210\) | −2.88245 | + | 1.43026i | −0.198908 | + | 0.0986971i | ||||
\(211\) | −9.86419 | − | 17.0853i | −0.679079 | − | 1.17620i | −0.975259 | − | 0.221067i | \(-0.929046\pi\) |
0.296180 | − | 0.955132i | \(-0.404287\pi\) | |||||||
\(212\) | 9.75549 | − | 5.63233i | 0.670010 | − | 0.386830i | ||||
\(213\) | −1.50810 | + | 1.86805i | −0.103333 | + | 0.127996i | ||||
\(214\) | 3.01485 | − | 5.22187i | 0.206091 | − | 0.356960i | ||||
\(215\) | 20.8592 | − | 1.93680i | 1.42259 | − | 0.132089i | ||||
\(216\) | 6.42966 | − | 12.7601i | 0.437483 | − | 0.868212i | ||||
\(217\) | 0.970016i | 0.0658490i | ||||||||
\(218\) | −1.57063 | − | 0.906805i | −0.106377 | − | 0.0614166i | ||||
\(219\) | 12.2126 | + | 9.85936i | 0.825249 | + | 0.666234i | ||||
\(220\) | −3.88941 | + | 2.75434i | −0.262224 | + | 0.185697i | ||||
\(221\) | 15.9750 | + | 27.6695i | 1.07460 | + | 1.86125i | ||||
\(222\) | 6.08213 | + | 15.7740i | 0.408206 | + | 1.05868i | ||||
\(223\) | 10.6300 | + | 6.13725i | 0.711839 | + | 0.410981i | 0.811742 | − | 0.584017i | \(-0.198520\pi\) |
−0.0999024 | + | 0.994997i | \(0.531853\pi\) | |||||||
\(224\) | 5.77781 | 0.386046 | ||||||||
\(225\) | −14.8811 | − | 1.88499i | −0.992073 | − | 0.125666i | ||||
\(226\) | −3.15304 | −0.209737 | ||||||||
\(227\) | −11.9760 | − | 6.91432i | −0.794872 | − | 0.458920i | 0.0468029 | − | 0.998904i | \(-0.485097\pi\) |
−0.841675 | + | 0.539985i | \(0.818430\pi\) | |||||||
\(228\) | 16.3019 | + | 2.55699i | 1.07962 | + | 0.169341i | ||||
\(229\) | 0.326856 | + | 0.566131i | 0.0215992 | + | 0.0374110i | 0.876623 | − | 0.481178i | \(-0.159791\pi\) |
−0.855024 | + | 0.518589i | \(0.826458\pi\) | |||||||
\(230\) | 4.27681 | − | 3.02868i | 0.282005 | − | 0.199705i | ||||
\(231\) | 0.436772 | − | 2.78460i | 0.0287375 | − | 0.183213i | ||||
\(232\) | −12.1017 | − | 6.98691i | −0.794515 | − | 0.458713i | ||||
\(233\) | 2.60596i | 0.170722i | 0.996350 | + | 0.0853611i | \(0.0272044\pi\) | ||||
−0.996350 | + | 0.0853611i | \(0.972796\pi\) | |||||||
\(234\) | 2.60011 | + | 12.0552i | 0.169975 | + | 0.788075i | ||||
\(235\) | 4.40387 | − | 0.408903i | 0.287277 | − | 0.0266739i | ||||
\(236\) | 0.339641 | − | 0.588275i | 0.0221087 | − | 0.0382934i | ||||
\(237\) | 3.23818 | + | 8.39821i | 0.210342 | + | 0.545522i | ||||
\(238\) | 4.64619 | − | 2.68248i | 0.301167 | − | 0.173879i | ||||
\(239\) | 13.3769 | + | 23.1695i | 0.865282 | + | 1.49871i | 0.866767 | + | 0.498713i | \(0.166194\pi\) |
−0.00148521 | + | 0.999999i | \(0.500473\pi\) | |||||||
\(240\) | 1.07999 | + | 0.717806i | 0.0697132 | + | 0.0463342i | ||||
\(241\) | −9.99074 | + | 17.3045i | −0.643560 | + | 1.11468i | 0.341072 | + | 0.940037i | \(0.389210\pi\) |
−0.984632 | + | 0.174642i | \(0.944123\pi\) | |||||||
\(242\) | − | 6.93886i | − | 0.446047i | ||||||
\(243\) | −3.92194 | + | 15.0870i | −0.251593 | + | 0.967833i | ||||
\(244\) | −5.03665 | −0.322438 | ||||||||
\(245\) | 2.03156 | + | 0.934211i | 0.129792 | + | 0.0596845i | ||||
\(246\) | −5.03652 | − | 4.06604i | −0.321117 | − | 0.259241i | ||||
\(247\) | −31.1689 | + | 17.9954i | −1.98323 | + | 1.14502i | ||||
\(248\) | −2.31000 | + | 1.33368i | −0.146685 | + | 0.0846888i | ||||
\(249\) | 4.51536 | − | 1.74103i | 0.286150 | − | 0.110334i | ||||
\(250\) | −2.26068 | + | 9.00965i | −0.142978 | + | 0.569820i | ||||
\(251\) | −10.5147 | −0.663680 | −0.331840 | − | 0.943336i | \(-0.607669\pi\) | ||||
−0.331840 | + | 0.943336i | \(0.607669\pi\) | |||||||
\(252\) | −3.84085 | + | 0.828407i | −0.241951 | + | 0.0521848i | ||||
\(253\) | 4.59057i | 0.288607i | ||||||||
\(254\) | 7.04945 | − | 12.2100i | 0.442322 | − | 0.766124i | ||||
\(255\) | 24.9596 | + | 1.57453i | 1.56303 | + | 0.0986006i | ||||
\(256\) | 7.50542 | + | 12.9998i | 0.469088 | + | 0.812485i | ||||
\(257\) | 17.7466 | − | 10.2460i | 1.10700 | − | 0.639127i | 0.168949 | − | 0.985625i | \(-0.445963\pi\) |
0.938051 | + | 0.346498i | \(0.112629\pi\) | |||||||
\(258\) | −13.3190 | − | 2.08912i | −0.829205 | − | 0.130063i | ||||
\(259\) | 5.87404 | − | 10.1741i | 0.364995 | − | 0.632190i | ||||
\(260\) | −14.4284 | + | 1.33969i | −0.894810 | + | 0.0830838i | ||||
\(261\) | 14.5131 | + | 4.66766i | 0.898337 | + | 0.288921i | ||||
\(262\) | 15.6083i | 0.964283i | ||||||||
\(263\) | −9.43669 | − | 5.44827i | −0.581891 | − | 0.335955i | 0.179993 | − | 0.983668i | \(-0.442392\pi\) |
−0.761885 | + | 0.647713i | \(0.775726\pi\) | |||||||
\(264\) | 7.23180 | − | 2.78844i | 0.445086 | − | 0.171616i | ||||
\(265\) | 11.1146 | + | 15.6950i | 0.682767 | + | 0.964136i | ||||
\(266\) | 3.02173 | + | 5.23379i | 0.185274 | + | 0.320905i | ||||
\(267\) | 11.6861 | − | 14.4753i | 0.715179 | − | 0.885877i | ||||
\(268\) | −4.22477 | − | 2.43917i | −0.258069 | − | 0.148996i | ||||
\(269\) | 5.33793 | 0.325460 | 0.162730 | − | 0.986671i | \(-0.447970\pi\) | ||||
0.162730 | + | 0.986671i | \(0.447970\pi\) | |||||||
\(270\) | 8.98545 | + | 3.52829i | 0.546837 | + | 0.214725i | ||||
\(271\) | −7.26974 | −0.441605 | −0.220803 | − | 0.975319i | \(-0.570868\pi\) | ||||
−0.220803 | + | 0.975319i | \(0.570868\pi\) | |||||||
\(272\) | −1.87243 | − | 1.08105i | −0.113533 | − | 0.0655481i | ||||
\(273\) | 5.38327 | − | 6.66814i | 0.325810 | − | 0.403574i | ||||
\(274\) | 2.68399 | + | 4.64880i | 0.162146 | + | 0.280844i | ||||
\(275\) | −5.29621 | − | 6.17712i | −0.319373 | − | 0.372494i | ||||
\(276\) | 5.97074 | − | 2.30220i | 0.359397 | − | 0.138576i | ||||
\(277\) | −3.98827 | − | 2.30263i | −0.239632 | − | 0.138352i | 0.375376 | − | 0.926873i | \(-0.377514\pi\) |
−0.615008 | + | 0.788521i | \(0.710847\pi\) | |||||||
\(278\) | 11.5112i | 0.690395i | ||||||||
\(279\) | 2.15676 | − | 1.95366i | 0.129122 | − | 0.116962i | ||||
\(280\) | 0.568473 | + | 6.12243i | 0.0339728 | + | 0.365885i | ||||
\(281\) | 2.29184 | − | 3.96959i | 0.136720 | − | 0.236806i | −0.789533 | − | 0.613708i | \(-0.789677\pi\) |
0.926253 | + | 0.376902i | \(0.123011\pi\) | |||||||
\(282\) | −2.81195 | − | 0.441062i | −0.167449 | − | 0.0262648i | ||||
\(283\) | 18.2562 | − | 10.5402i | 1.08522 | − | 0.626549i | 0.152917 | − | 0.988239i | \(-0.451133\pi\) |
0.932299 | + | 0.361690i | \(0.117800\pi\) | |||||||
\(284\) | 0.907714 | + | 1.57221i | 0.0538629 | + | 0.0932933i | ||||
\(285\) | −1.77366 | + | 28.1163i | −0.105062 | + | 1.66547i | ||||
\(286\) | −3.34486 | + | 5.79347i | −0.197786 | + | 0.342575i | ||||
\(287\) | 4.49812i | 0.265516i | ||||||||
\(288\) | −11.6368 | − | 12.8465i | −0.685704 | − | 0.756988i | ||||
\(289\) | −24.6974 | −1.45279 | ||||||||
\(290\) | 3.94429 | − | 8.57737i | 0.231616 | − | 0.503680i | ||||
\(291\) | −3.50386 | + | 1.35102i | −0.205400 | + | 0.0791981i | ||||
\(292\) | 10.2785 | − | 5.93429i | 0.601504 | − | 0.347278i | ||||
\(293\) | −8.14488 | + | 4.70245i | −0.475829 | + | 0.274720i | −0.718677 | − | 0.695344i | \(-0.755252\pi\) |
0.242848 | + | 0.970064i | \(0.421919\pi\) | |||||||
\(294\) | −1.11969 | − | 0.903943i | −0.0653019 | − | 0.0527190i | ||||
\(295\) | 1.05366 | + | 0.484523i | 0.0613464 | + | 0.0282100i | ||||
\(296\) | 32.3050 | 1.87769 | ||||||||
\(297\) | −7.07103 | + | 4.63720i | −0.410303 | + | 0.269077i | ||||
\(298\) | 0.829392i | 0.0480454i | ||||||||
\(299\) | −6.97867 | + | 12.0874i | −0.403587 | + | 0.699033i | ||||
\(300\) | −5.37821 | + | 9.98640i | −0.310511 | + | 0.576565i | ||||
\(301\) | 4.68433 | + | 8.11350i | 0.270000 | + | 0.467655i | ||||
\(302\) | −0.837012 | + | 0.483249i | −0.0481646 | + | 0.0278079i | ||||
\(303\) | −10.3806 | − | 26.9220i | −0.596350 | − | 1.54663i | ||||
\(304\) | 1.21777 | − | 2.10924i | 0.0698438 | − | 0.120973i | ||||
\(305\) | −0.795003 | − | 8.56215i | −0.0455217 | − | 0.490267i | ||||
\(306\) | −15.3219 | − | 4.92780i | −0.875896 | − | 0.281704i | ||||
\(307\) | 1.80317i | 0.102913i | 0.998675 | + | 0.0514563i | \(0.0163863\pi\) | ||||
−0.998675 | + | 0.0514563i | \(0.983614\pi\) | |||||||
\(308\) | −1.84583 | − | 1.06569i | −0.105176 | − | 0.0607232i | ||||
\(309\) | −0.335665 | + | 2.14000i | −0.0190953 | + | 0.121741i | ||||
\(310\) | −1.04147 | − | 1.47066i | −0.0591515 | − | 0.0835280i | ||||
\(311\) | −2.70204 | − | 4.68008i | −0.153219 | − | 0.265383i | 0.779190 | − | 0.626788i | \(-0.215631\pi\) |
−0.932409 | + | 0.361405i | \(0.882297\pi\) | |||||||
\(312\) | 23.2811 | + | 3.65169i | 1.31803 | + | 0.206736i | ||||
\(313\) | −21.6702 | − | 12.5113i | −1.22487 | − | 0.707179i | −0.258918 | − | 0.965899i | \(-0.583366\pi\) |
−0.965952 | + | 0.258720i | \(0.916699\pi\) | |||||||
\(314\) | −8.92156 | −0.503473 | ||||||||
\(315\) | −2.01452 | − | 6.39857i | −0.113505 | − | 0.360519i | ||||
\(316\) | 6.80619 | 0.382878 | ||||||||
\(317\) | 12.7673 | + | 7.37121i | 0.717084 | + | 0.414009i | 0.813678 | − | 0.581315i | \(-0.197462\pi\) |
−0.0965945 | + | 0.995324i | \(0.530795\pi\) | |||||||
\(318\) | −4.45274 | − | 11.5481i | −0.249697 | − | 0.647588i | ||||
\(319\) | 4.13488 | + | 7.16182i | 0.231509 | + | 0.400985i | ||||
\(320\) | −7.53786 | + | 5.33804i | −0.421379 | + | 0.298406i | ||||
\(321\) | 9.78075 | + | 7.89612i | 0.545908 | + | 0.440718i | ||||
\(322\) | 2.02968 | + | 1.17184i | 0.113110 | + | 0.0653039i | ||||
\(323\) | − | 46.9710i | − | 2.61353i | ||||||
\(324\) | 9.57756 | + | 6.87139i | 0.532087 | + | 0.381744i | ||||
\(325\) | −4.55485 | − | 24.3163i | −0.252658 | − | 1.34883i | ||||
\(326\) | −2.50660 | + | 4.34155i | −0.138828 | + | 0.240456i | ||||
\(327\) | 2.37499 | − | 2.94185i | 0.131337 | − | 0.162685i | ||||
\(328\) | −10.7119 | + | 6.18450i | −0.591464 | + | 0.341482i | ||||
\(329\) | 0.988971 | + | 1.71295i | 0.0545238 | + | 0.0944379i | ||||
\(330\) | 2.32753 | + | 4.69074i | 0.128126 | + | 0.258217i | ||||
\(331\) | −6.25138 | + | 10.8277i | −0.343607 | + | 0.595145i | −0.985100 | − | 0.171984i | \(-0.944982\pi\) |
0.641493 | + | 0.767129i | \(0.278316\pi\) | |||||||
\(332\) | − | 3.65940i | − | 0.200836i | ||||||
\(333\) | −34.4520 | + | 7.43073i | −1.88796 | + | 0.407201i | ||||
\(334\) | −1.47875 | −0.0809138 | ||||||||
\(335\) | 3.47967 | − | 7.56700i | 0.190115 | − | 0.413429i | ||||
\(336\) | −0.0898657 | + | 0.572931i | −0.00490258 | + | 0.0312560i | ||||
\(337\) | 22.2621 | − | 12.8531i | 1.21270 | − | 0.700150i | 0.249350 | − | 0.968413i | \(-0.419783\pi\) |
0.963346 | + | 0.268263i | \(0.0864496\pi\) | |||||||
\(338\) | −8.26096 | + | 4.76947i | −0.449337 | + | 0.259425i | ||||
\(339\) | 1.01857 | − | 6.49383i | 0.0553213 | − | 0.352696i | ||||
\(340\) | 7.90095 | − | 17.1817i | 0.428489 | − | 0.931806i | ||||
\(341\) | 1.57855 | 0.0854834 | ||||||||
\(342\) | 5.55103 | − | 17.2597i | 0.300165 | − | 0.933298i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −12.8810 | + | 22.3106i | −0.694499 | + | 1.20291i | ||||
\(345\) | 4.85611 | + | 9.78669i | 0.261444 | + | 0.526898i | ||||
\(346\) | 4.37260 | + | 7.57356i | 0.235072 | + | 0.407157i | ||||
\(347\) | −12.8815 | + | 7.43714i | −0.691515 | + | 0.399246i | −0.804179 | − | 0.594387i | \(-0.797395\pi\) |
0.112664 | + | 0.993633i | \(0.464062\pi\) | |||||||
\(348\) | 7.24138 | − | 8.96975i | 0.388179 | − | 0.480829i | ||||
\(349\) | 1.03220 | − | 1.78782i | 0.0552522 | − | 0.0956996i | −0.837076 | − | 0.547086i | \(-0.815737\pi\) |
0.892329 | + | 0.451386i | \(0.149070\pi\) | |||||||
\(350\) | −4.08313 | + | 0.764837i | −0.218252 | + | 0.0408823i | ||||
\(351\) | −25.6683 | + | 1.46067i | −1.37007 | + | 0.0779647i | ||||
\(352\) | − | 9.40251i | − | 0.501155i | ||||||
\(353\) | 7.43108 | + | 4.29034i | 0.395517 | + | 0.228352i | 0.684548 | − | 0.728968i | \(-0.260000\pi\) |
−0.289031 | + | 0.957320i | \(0.593333\pi\) | |||||||
\(354\) | −0.580723 | − | 0.468825i | −0.0308651 | − | 0.0249178i | ||||
\(355\) | −2.52943 | + | 1.79125i | −0.134248 | + | 0.0950696i | ||||
\(356\) | −7.03381 | − | 12.1829i | −0.372791 | − | 0.645693i | ||||
\(357\) | 4.02376 | + | 10.4356i | 0.212960 | + | 0.552310i | ||||
\(358\) | 14.8811 | + | 8.59160i | 0.786490 | + | 0.454080i | ||||
\(359\) | 2.01575 | 0.106387 | 0.0531936 | − | 0.998584i | \(-0.483060\pi\) | ||||
0.0531936 | + | 0.998584i | \(0.483060\pi\) | |||||||
\(360\) | 12.4678 | − | 13.5948i | 0.657112 | − | 0.716510i | ||||
\(361\) | 33.9114 | 1.78481 | ||||||||
\(362\) | −7.17378 | − | 4.14178i | −0.377045 | − | 0.217687i | ||||
\(363\) | 14.2909 | + | 2.24156i | 0.750078 | + | 0.117652i | ||||
\(364\) | −3.24016 | − | 5.61212i | −0.169831 | − | 0.294155i | ||||
\(365\) | 11.7105 | + | 16.5364i | 0.612956 | + | 0.865557i | ||||
\(366\) | −0.857526 | + | 5.46709i | −0.0448236 | + | 0.285769i | ||||
\(367\) | 6.87848 | + | 3.97129i | 0.359054 | + | 0.207300i | 0.668666 | − | 0.743563i | \(-0.266866\pi\) |
−0.309612 | + | 0.950863i | \(0.600199\pi\) | |||||||
\(368\) | − | 0.944508i | − | 0.0492359i | ||||||
\(369\) | 10.0012 | − | 9.05943i | 0.520643 | − | 0.471615i | ||||
\(370\) | 2.01783 | + | 21.7320i | 0.104902 | + | 1.12979i | ||||
\(371\) | −4.30040 | + | 7.44851i | −0.223265 | + | 0.386707i | ||||
\(372\) | −0.791655 | − | 2.05315i | −0.0410454 | − | 0.106451i | ||||
\(373\) | −13.4710 | + | 7.77751i | −0.697504 | + | 0.402704i | −0.806417 | − | 0.591347i | \(-0.798596\pi\) |
0.108913 | + | 0.994051i | \(0.465263\pi\) | |||||||
\(374\) | −4.36532 | − | 7.56096i | −0.225725 | − | 0.390968i | ||||
\(375\) | −17.8255 | − | 7.56651i | −0.920504 | − | 0.390733i | ||||
\(376\) | −2.71949 | + | 4.71029i | −0.140247 | + | 0.242915i | ||||
\(377\) | 25.1437i | 1.29497i | ||||||||
\(378\) | 0.245271 | + | 4.31014i | 0.0126154 | + | 0.221690i | ||||
\(379\) | 21.7408 | 1.11675 | 0.558375 | − | 0.829589i | \(-0.311425\pi\) | ||||
0.558375 | + | 0.829589i | \(0.311425\pi\) | |||||||
\(380\) | 19.3546 | + | 8.90019i | 0.992872 | + | 0.456570i | ||||
\(381\) | 22.8698 | + | 18.4631i | 1.17165 | + | 0.945891i | ||||
\(382\) | 13.5991 | − | 7.85144i | 0.695790 | − | 0.401714i | ||||
\(383\) | −30.1124 | + | 17.3854i | −1.53867 | + | 0.888352i | −0.539754 | + | 0.841823i | \(0.681483\pi\) |
−0.998917 | + | 0.0465296i | \(0.985184\pi\) | |||||||
\(384\) | −13.1285 | + | 5.06211i | −0.669963 | + | 0.258325i | ||||
\(385\) | 1.52029 | − | 3.30606i | 0.0774809 | − | 0.168492i | ||||
\(386\) | 10.1971 | 0.519020 | ||||||||
\(387\) | 8.60528 | − | 26.7562i | 0.437431 | − | 1.36010i | ||||
\(388\) | 2.83964i | 0.144161i | ||||||||
\(389\) | 1.08700 | − | 1.88274i | 0.0551132 | − | 0.0954588i | −0.837153 | − | 0.546969i | \(-0.815781\pi\) |
0.892266 | + | 0.451511i | \(0.149115\pi\) | |||||||
\(390\) | −1.00236 | + | 15.8895i | −0.0507564 | + | 0.804598i | ||||
\(391\) | −9.10774 | − | 15.7751i | −0.460598 | − | 0.797779i | ||||
\(392\) | −2.38141 | + | 1.37491i | −0.120279 | + | 0.0694433i | ||||
\(393\) | −32.1460 | − | 5.04218i | −1.62155 | − | 0.254344i | ||||
\(394\) | 6.76190 | − | 11.7120i | 0.340660 | − | 0.590040i | ||||
\(395\) | 1.07431 | + | 11.5703i | 0.0540545 | + | 0.582165i | ||||
\(396\) | 1.34811 | + | 6.25040i | 0.0677449 | + | 0.314095i | ||||
\(397\) | 22.9784i | 1.15325i | 0.817008 | + | 0.576626i | \(0.195631\pi\) | ||||
−0.817008 | + | 0.576626i | \(0.804369\pi\) | |||||||
\(398\) | 15.5827 | + | 8.99667i | 0.781090 | + | 0.450962i | ||||
\(399\) | −11.7554 | + | 4.53265i | −0.588506 | + | 0.226916i | ||||
\(400\) | 1.08969 | + | 1.27094i | 0.0544846 | + | 0.0635470i | ||||
\(401\) | −10.3621 | − | 17.9477i | −0.517460 | − | 0.896267i | −0.999794 | − | 0.0202800i | \(-0.993544\pi\) |
0.482334 | − | 0.875987i | \(-0.339789\pi\) | |||||||
\(402\) | −3.36693 | + | 4.17054i | −0.167927 | + | 0.208008i | ||||
\(403\) | 4.15648 | + | 2.39975i | 0.207049 | + | 0.119540i | ||||
\(404\) | −21.8185 | −1.08551 | ||||||||
\(405\) | −10.1694 | + | 17.3662i | −0.505321 | + | 0.862931i | ||||
\(406\) | 4.22205 | 0.209537 | ||||||||
\(407\) | −16.5569 | − | 9.55911i | −0.820694 | − | 0.473828i | ||||
\(408\) | −19.3191 | + | 23.9302i | −0.956439 | + | 1.18472i | ||||
\(409\) | −11.0001 | − | 19.0527i | −0.543920 | − | 0.942097i | −0.998674 | − | 0.0514800i | \(-0.983606\pi\) |
0.454754 | − | 0.890617i | \(-0.349727\pi\) | |||||||
\(410\) | −4.82947 | − | 6.81970i | −0.238510 | − | 0.336801i | ||||
\(411\) | −10.4415 | + | 4.02602i | −0.515040 | + | 0.198589i | ||||
\(412\) | 1.41854 | + | 0.818996i | 0.0698866 | + | 0.0403490i | ||||
\(413\) | 0.518645i | 0.0255208i | ||||||||
\(414\) | −1.48239 | − | 6.87298i | −0.0728553 | − | 0.337788i | ||||
\(415\) | 6.22087 | − | 0.577613i | 0.305370 | − | 0.0283539i | ||||
\(416\) | 14.2939 | − | 24.7577i | 0.700815 | − | 1.21385i | ||||
\(417\) | −23.7078 | − | 3.71863i | −1.16098 | − | 0.182102i | ||||
\(418\) | 8.51721 | − | 4.91741i | 0.416590 | − | 0.240518i | ||||
\(419\) | −0.969751 | − | 1.67966i | −0.0473754 | − | 0.0820566i | 0.841365 | − | 0.540467i | \(-0.181752\pi\) |
−0.888741 | + | 0.458410i | \(0.848419\pi\) | |||||||
\(420\) | −5.06248 | − | 0.319356i | −0.247024 | − | 0.0155830i | ||||
\(421\) | 1.14152 | − | 1.97717i | 0.0556341 | − | 0.0963612i | −0.836867 | − | 0.547406i | \(-0.815615\pi\) |
0.892501 | + | 0.451045i | \(0.148949\pi\) | |||||||
\(422\) | 16.3909i | 0.797896i | ||||||||
\(423\) | 1.81677 | − | 5.64886i | 0.0883346 | − | 0.274657i | ||||
\(424\) | −23.6506 | −1.14857 | ||||||||
\(425\) | 30.4554 | + | 10.7194i | 1.47730 | + | 0.519965i | ||||
\(426\) | 1.86112 | − | 0.717609i | 0.0901713 | − | 0.0347683i | ||||
\(427\) | 3.33037 | − | 1.92279i | 0.161168 | − | 0.0930503i | ||||
\(428\) | 8.23180 | − | 4.75263i | 0.397899 | − | 0.229727i | ||||
\(429\) | −10.8514 | − | 8.76045i | −0.523910 | − | 0.422959i | ||||
\(430\) | −15.8132 | − | 7.27167i | −0.762580 | − | 0.350671i | ||||
\(431\) | −24.3196 | −1.17144 | −0.585718 | − | 0.810515i | \(-0.699187\pi\) | ||||
−0.585718 | + | 0.810515i | \(0.699187\pi\) | |||||||
\(432\) | 1.45486 | − | 0.954102i | 0.0699971 | − | 0.0459042i | ||||
\(433\) | − | 24.2848i | − | 1.16705i | −0.812094 | − | 0.583527i | \(-0.801672\pi\) | ||
0.812094 | − | 0.583527i | \(-0.198328\pi\) | |||||||
\(434\) | 0.402958 | − | 0.697944i | 0.0193426 | − | 0.0335024i | ||||
\(435\) | 16.3913 | + | 10.8943i | 0.785903 | + | 0.522342i | ||||
\(436\) | −1.42949 | − | 2.47596i | −0.0684603 | − | 0.118577i | ||||
\(437\) | 17.7702 | − | 10.2596i | 0.850062 | − | 0.490784i | ||||
\(438\) | −4.69146 | − | 12.1673i | −0.224166 | − | 0.581375i | ||||
\(439\) | −12.0889 | + | 20.9385i | −0.576970 | + | 0.999341i | 0.418855 | + | 0.908053i | \(0.362432\pi\) |
−0.995825 | + | 0.0912878i | \(0.970902\pi\) | |||||||
\(440\) | 9.96333 | − | 0.925103i | 0.474983 | − | 0.0441026i | ||||
\(441\) | 2.22342 | − | 2.01405i | 0.105877 | − | 0.0959070i | ||||
\(442\) | − | 26.5450i | − | 1.26262i | ||||||
\(443\) | 0.905401 | + | 0.522734i | 0.0430169 | + | 0.0248358i | 0.521354 | − | 0.853340i | \(-0.325427\pi\) |
−0.478337 | + | 0.878176i | \(0.658760\pi\) | |||||||
\(444\) | −4.12973 | + | 26.3287i | −0.195988 | + | 1.24951i | ||||
\(445\) | 19.6003 | − | 13.8803i | 0.929145 | − | 0.657987i | ||||
\(446\) | −5.09900 | − | 8.83173i | −0.241445 | − | 0.418194i | ||||
\(447\) | −1.70817 | − | 0.267931i | −0.0807938 | − | 0.0126727i | ||||
\(448\) | −3.57730 | − | 2.06536i | −0.169012 | − | 0.0975790i | ||||
\(449\) | −7.38677 | −0.348603 | −0.174302 | − | 0.984692i | \(-0.555767\pi\) | ||||
−0.174302 | + | 0.984692i | \(0.555767\pi\) | |||||||
\(450\) | 9.92417 | + | 7.53810i | 0.467830 | + | 0.355349i | ||||
\(451\) | 7.32001 | 0.344686 | ||||||||
\(452\) | −4.30456 | − | 2.48524i | −0.202469 | − | 0.116896i | ||||
\(453\) | −0.724881 | − | 1.87998i | −0.0340579 | − | 0.0883290i | ||||
\(454\) | 5.74461 | + | 9.94996i | 0.269608 | + | 0.466975i | ||||
\(455\) | 9.02900 | − | 6.39401i | 0.423286 | − | 0.299756i | ||||
\(456\) | −26.9567 | − | 21.7624i | −1.26236 | − | 1.01912i | ||||
\(457\) | 28.4023 | + | 16.3981i | 1.32860 | + | 0.767070i | 0.985084 | − | 0.172075i | \(-0.0550473\pi\) |
0.343520 | + | 0.939145i | \(0.388381\pi\) | |||||||
\(458\) | − | 0.543122i | − | 0.0253784i | ||||||
\(459\) | 15.0987 | − | 29.9643i | 0.704747 | − | 1.39861i | ||||
\(460\) | 8.22596 | − | 0.763787i | 0.383538 | − | 0.0356118i | ||||
\(461\) | −9.87193 | + | 17.0987i | −0.459782 | + | 0.796365i | −0.998949 | − | 0.0458335i | \(-0.985406\pi\) |
0.539168 | + | 0.842199i | \(0.318739\pi\) | |||||||
\(462\) | −1.47103 | + | 1.82213i | −0.0684385 | + | 0.0847733i | ||||
\(463\) | −1.08933 | + | 0.628922i | −0.0506252 | + | 0.0292285i | −0.525099 | − | 0.851041i | \(-0.675972\pi\) |
0.474474 | + | 0.880270i | \(0.342638\pi\) | |||||||
\(464\) | −0.850750 | − | 1.47354i | −0.0394951 | − | 0.0684075i | ||||
\(465\) | 3.36534 | − | 1.66987i | 0.156064 | − | 0.0774382i | ||||
\(466\) | 1.08255 | − | 1.87504i | 0.0501483 | − | 0.0868594i | ||||
\(467\) | 36.0058i | 1.66615i | 0.553161 | + | 0.833074i | \(0.313421\pi\) | ||||
−0.553161 | + | 0.833074i | \(0.686579\pi\) | |||||||
\(468\) | −5.95229 | + | 18.5073i | −0.275144 | + | 0.855502i | ||||
\(469\) | 3.72472 | 0.171991 | ||||||||
\(470\) | −3.33853 | − | 1.53522i | −0.153995 | − | 0.0708143i | ||||
\(471\) | 2.88207 | − | 18.3744i | 0.132799 | − | 0.846646i | ||||
\(472\) | −1.23510 | + | 0.713088i | −0.0568503 | + | 0.0328225i | ||||
\(473\) | 13.2035 | − | 7.62304i | 0.607097 | − | 0.350508i | ||||
\(474\) | 1.15880 | − | 7.38785i | 0.0532256 | − | 0.339335i | ||||
\(475\) | −12.0751 | + | 34.3071i | −0.554041 | + | 1.57412i | ||||
\(476\) | 8.45735 | 0.387642 | ||||||||
\(477\) | 25.2224 | − | 5.44005i | 1.15485 | − | 0.249083i | ||||
\(478\) | − | 22.2279i | − | 1.01668i | ||||||
\(479\) | 16.4044 | − | 28.4133i | 0.749537 | − | 1.29824i | −0.198508 | − | 0.980099i | \(-0.563610\pi\) |
0.948045 | − | 0.318137i | \(-0.103057\pi\) | |||||||
\(480\) | −9.94640 | − | 20.0453i | −0.453989 | − | 0.914940i | ||||
\(481\) | −29.0639 | − | 50.3401i | −1.32520 | − | 2.29531i | ||||
\(482\) | 14.3770 | − | 8.30059i | 0.654856 | − | 0.378082i | ||||
\(483\) | −3.06913 | + | 3.80167i | −0.139650 | + | 0.172982i | ||||
\(484\) | 5.46924 | − | 9.47300i | 0.248602 | − | 0.430591i | ||||
\(485\) | −4.82731 | + | 0.448219i | −0.219197 | + | 0.0203526i | ||||
\(486\) | 9.08927 | − | 9.22616i | 0.412298 | − | 0.418507i | ||||
\(487\) | 19.2060i | 0.870308i | 0.900356 | + | 0.435154i | \(0.143306\pi\) | ||||
−0.900356 | + | 0.435154i | \(0.856694\pi\) | |||||||
\(488\) | 9.15789 | + | 5.28731i | 0.414558 | + | 0.239345i | ||||
\(489\) | −8.13188 | − | 6.56497i | −0.367737 | − | 0.296878i | ||||
\(490\) | −1.07366 | − | 1.51612i | −0.0485032 | − | 0.0684914i | ||||
\(491\) | −3.39650 | − | 5.88291i | −0.153282 | − | 0.265492i | 0.779150 | − | 0.626837i | \(-0.215651\pi\) |
−0.932432 | + | 0.361345i | \(0.882318\pi\) | |||||||
\(492\) | −3.67103 | − | 9.52081i | −0.165503 | − | 0.429231i | ||||
\(493\) | −28.4183 | − | 16.4073i | −1.27989 | − | 0.738947i | ||||
\(494\) | 29.9022 | 1.34536 | ||||||||
\(495\) | −10.4127 | + | 3.27833i | −0.468016 | + | 0.147350i | ||||
\(496\) | −0.324787 | −0.0145834 | ||||||||
\(497\) | −1.20041 | − | 0.693058i | −0.0538458 | − | 0.0310879i | ||||
\(498\) | −3.97214 | − | 0.623040i | −0.177996 | − | 0.0279191i | ||||
\(499\) | −4.53988 | − | 7.86331i | −0.203233 | − | 0.352010i | 0.746335 | − | 0.665570i | \(-0.231812\pi\) |
−0.949568 | + | 0.313560i | \(0.898478\pi\) | |||||||
\(500\) | −10.1877 | + | 10.5182i | −0.455610 | + | 0.470387i | ||||
\(501\) | 0.477704 | − | 3.04556i | 0.0213422 | − | 0.136066i | ||||
\(502\) | 7.56549 | + | 4.36794i | 0.337665 | + | 0.194951i | ||||
\(503\) | 2.04265i | 0.0910774i | 0.998963 | + | 0.0455387i | \(0.0145004\pi\) | ||||
−0.998963 | + | 0.0455387i | \(0.985500\pi\) | |||||||
\(504\) | 7.85327 | + | 2.52575i | 0.349812 | + | 0.112506i | ||||
\(505\) | −3.44391 | − | 37.0908i | −0.153252 | − | 1.65052i | ||||
\(506\) | 1.90699 | − | 3.30300i | 0.0847759 | − | 0.146836i | ||||
\(507\) | −7.15428 | − | 18.5546i | −0.317733 | − | 0.824038i | ||||
\(508\) | 19.2480 | − | 11.1128i | 0.853990 | − | 0.493051i | ||||
\(509\) | −2.75003 | − | 4.76319i | −0.121893 | − | 0.211125i | 0.798621 | − | 0.601834i | \(-0.205563\pi\) |
−0.920514 | + | 0.390709i | \(0.872230\pi\) | |||||||
\(510\) | −17.3048 | − | 11.5015i | −0.766270 | − | 0.509294i | ||||
\(511\) | −4.53095 | + | 7.84783i | −0.200437 | + | 0.347168i | ||||
\(512\) | 3.77598i | 0.166876i | ||||||||
\(513\) | 33.7539 | + | 17.0083i | 1.49027 | + | 0.750933i | ||||
\(514\) | −17.0253 | −0.750954 | ||||||||
\(515\) | −1.16836 | + | 2.54075i | −0.0514841 | + | 0.111959i | ||||
\(516\) | −16.5366 | − | 13.3502i | −0.727982 | − | 0.587709i | ||||
\(517\) | 2.78756 | − | 1.60940i | 0.122597 | − | 0.0707814i | ||||
\(518\) | −8.45297 | + | 4.88032i | −0.371402 | + | 0.214429i | ||||
\(519\) | −17.0107 | + | 6.55897i | −0.746685 | + | 0.287907i | ||||
\(520\) | 27.6408 | + | 12.7106i | 1.21213 | + | 0.557395i | ||||
\(521\) | −11.1250 | −0.487397 | −0.243699 | − | 0.969851i | \(-0.578361\pi\) | ||||
−0.243699 | + | 0.969851i | \(0.578361\pi\) | |||||||
\(522\) | −8.50341 | − | 9.38741i | −0.372184 | − | 0.410876i | ||||
\(523\) | − | 20.4936i | − | 0.896122i | −0.894003 | − | 0.448061i | \(-0.852115\pi\) | ||
0.894003 | − | 0.448061i | \(-0.147885\pi\) | |||||||
\(524\) | −12.3025 | + | 21.3086i | −0.537438 | + | 0.930870i | ||||
\(525\) | −0.256184 | − | 8.65646i | −0.0111808 | − | 0.377799i | ||||
\(526\) | 4.52658 | + | 7.84027i | 0.197368 | + | 0.341852i | ||||
\(527\) | −5.42455 | + | 3.13187i | −0.236297 | + | 0.136426i | ||||
\(528\) | 0.932359 | + | 0.146243i | 0.0405757 | + | 0.00636440i | ||||
\(529\) | −7.52129 | + | 13.0273i | −0.327013 | + | 0.566403i | ||||
\(530\) | −1.47726 | − | 15.9100i | −0.0641680 | − | 0.691087i | ||||
\(531\) | 1.15317 | − | 1.04458i | 0.0500432 | − | 0.0453307i | ||||
\(532\) | 9.52697i | 0.413046i | ||||||||
\(533\) | 19.2743 | + | 11.1280i | 0.834862 | + | 0.482008i | ||||
\(534\) | −14.4216 | + | 5.56070i | −0.624085 | + | 0.240635i | ||||
\(535\) | 9.37866 | + | 13.2436i | 0.405475 | + | 0.572572i | ||||
\(536\) | 5.12113 | + | 8.87006i | 0.221199 | + | 0.383128i | ||||
\(537\) | −22.5021 | + | 27.8728i | −0.971036 | + | 1.20280i | ||||
\(538\) | −3.84074 | − | 2.21745i | −0.165586 | − | 0.0956012i | ||||
\(539\) | 1.62735 | 0.0700948 | ||||||||
\(540\) | 9.48601 | + | 11.8992i | 0.408213 | + | 0.512061i | ||||
\(541\) | 29.8258 | 1.28231 | 0.641156 | − | 0.767411i | \(-0.278455\pi\) | ||||
0.641156 | + | 0.767411i | \(0.278455\pi\) | |||||||
\(542\) | 5.23071 | + | 3.01995i | 0.224678 | + | 0.129718i | ||||
\(543\) | 10.8476 | − | 13.4367i | 0.465517 | − | 0.576626i | ||||
\(544\) | 18.6547 | + | 32.3108i | 0.799813 | + | 1.38532i | ||||
\(545\) | 3.98341 | − | 2.82091i | 0.170631 | − | 0.120834i | ||||
\(546\) | −6.64340 | + | 2.56156i | −0.284311 | + | 0.109625i | ||||
\(547\) | −25.3903 | − | 14.6591i | −1.08561 | − | 0.626777i | −0.153205 | − | 0.988194i | \(-0.548959\pi\) |
−0.932404 | + | 0.361418i | \(0.882293\pi\) | |||||||
\(548\) | 8.46211i | 0.361484i | ||||||||
\(549\) | −10.9827 | − | 3.53223i | −0.468730 | − | 0.150752i | ||||
\(550\) | 1.24466 | + | 6.64467i | 0.0530723 | + | 0.283330i | ||||
\(551\) | 18.4823 | − | 32.0124i | 0.787374 | − | 1.36377i | ||||
\(552\) | −13.2731 | − | 2.08192i | −0.564940 | − | 0.0886123i | ||||
\(553\) | −4.50044 | + | 2.59833i | −0.191378 | + | 0.110492i | ||||
\(554\) | 1.91309 | + | 3.31357i | 0.0812794 | + | 0.140780i | ||||
\(555\) | −45.4099 | − | 2.86459i | −1.92754 | − | 0.121595i | ||||
\(556\) | −9.07317 | + | 15.7152i | −0.384788 | + | 0.666472i | ||||
\(557\) | 8.12407i | 0.344228i | 0.985077 | + | 0.172114i | \(0.0550597\pi\) | ||||
−0.985077 | + | 0.172114i | \(0.944940\pi\) | |||||||
\(558\) | −2.36340 | + | 0.509746i | −0.100051 | + | 0.0215793i | ||||
\(559\) | 46.3548 | 1.96060 | ||||||||
\(560\) | −0.312798 | + | 0.680221i | −0.0132181 | + | 0.0287446i | ||||
\(561\) | 16.9823 | − | 6.54805i | 0.716995 | − | 0.276459i | ||||
\(562\) | −3.29805 | + | 1.90413i | −0.139120 | + | 0.0803208i | ||||
\(563\) | 13.7889 | − | 7.96103i | 0.581133 | − | 0.335517i | −0.180451 | − | 0.983584i | \(-0.557756\pi\) |
0.761584 | + | 0.648067i | \(0.224422\pi\) | |||||||
\(564\) | −3.49126 | − | 2.81853i | −0.147008 | − | 0.118682i | ||||
\(565\) | 3.54538 | − | 7.70989i | 0.149155 | − | 0.324358i | ||||
\(566\) | −17.5142 | −0.736176 | ||||||||
\(567\) | −8.95616 | − | 0.887222i | −0.376123 | − | 0.0372598i | ||||
\(568\) | − | 3.81156i | − | 0.159929i | ||||||
\(569\) | −7.49692 | + | 12.9850i | −0.314287 | + | 0.544361i | −0.979286 | − | 0.202483i | \(-0.935099\pi\) |
0.664999 | + | 0.746845i | \(0.268432\pi\) | |||||||
\(570\) | 12.9561 | − | 19.4934i | 0.542671 | − | 0.816488i | ||||
\(571\) | −6.16600 | − | 10.6798i | −0.258039 | − | 0.446936i | 0.707678 | − | 0.706535i | \(-0.249743\pi\) |
−0.965716 | + | 0.259599i | \(0.916410\pi\) | |||||||
\(572\) | −9.13288 | + | 5.27287i | −0.381865 | + | 0.220470i | ||||
\(573\) | 11.7773 | + | 30.5443i | 0.492003 | + | 1.27601i | ||||
\(574\) | 1.86858 | − | 3.23648i | 0.0779932 | − | 0.135088i | ||||
\(575\) | 2.59683 | + | 13.8633i | 0.108295 | + | 0.578141i | ||||
\(576\) | 2.61270 | + | 12.1136i | 0.108862 | + | 0.504733i | ||||
\(577\) | − | 19.0064i | − | 0.791246i | −0.918413 | − | 0.395623i | \(-0.870529\pi\) | ||
0.918413 | − | 0.395623i | \(-0.129471\pi\) | |||||||
\(578\) | 17.7702 | + | 10.2597i | 0.739145 | + | 0.426746i | ||||
\(579\) | −3.29413 | + | 21.0015i | −0.136899 | + | 0.872791i | ||||
\(580\) | 12.1455 | − | 8.60100i | 0.504314 | − | 0.357137i | ||||
\(581\) | 1.39701 | + | 2.41970i | 0.0579578 | + | 0.100386i | ||||
\(582\) | 3.08232 | + | 0.483470i | 0.127766 | + | 0.0200405i | ||||
\(583\) | 12.1213 | + | 6.99824i | 0.502013 | + | 0.289838i | ||||
\(584\) | −24.9185 | −1.03114 | ||||||||
\(585\) | −32.4014 | − | 7.19744i | −1.33963 | − | 0.297577i | ||||
\(586\) | 7.81386 | 0.322788 | ||||||||
\(587\) | −20.9487 | − | 12.0947i | −0.864644 | − | 0.499202i | 0.000920900 | − | 1.00000i | \(-0.499707\pi\) |
−0.865565 | + | 0.500797i | \(0.833040\pi\) | |||||||
\(588\) | −0.816126 | − | 2.11662i | −0.0336565 | − | 0.0872879i | ||||
\(589\) | −3.52796 | − | 6.11060i | −0.145367 | − | 0.251783i | ||||
\(590\) | −0.556850 | − | 0.786329i | −0.0229251 | − | 0.0323726i | ||||
\(591\) | 21.9369 | + | 17.7099i | 0.902364 | + | 0.728490i | ||||
\(592\) | 3.40657 | + | 1.96678i | 0.140009 | + | 0.0808344i | ||||
\(593\) | 18.5924i | 0.763498i | 0.924266 | + | 0.381749i | \(0.124678\pi\) | ||||
−0.924266 | + | 0.381749i | \(0.875322\pi\) | |||||||
\(594\) | 7.01409 | − | 0.399141i | 0.287792 | − | 0.0163770i | ||||
\(595\) | 1.33494 | + | 14.3772i | 0.0547271 | + | 0.589409i | ||||
\(596\) | −0.653730 | + | 1.13229i | −0.0267778 | + | 0.0463806i | ||||
\(597\) | −23.5630 | + | 29.1870i | −0.964368 | + | 1.19454i | ||||
\(598\) | 10.0426 | − | 5.79808i | 0.410671 | − | 0.237101i | ||||
\(599\) | −21.3954 | − | 37.0579i | −0.874191 | − | 1.51414i | −0.857622 | − | 0.514281i | \(-0.828059\pi\) |
−0.0165698 | − | 0.999863i | \(-0.505275\pi\) | |||||||
\(600\) | 20.2623 | − | 12.5119i | 0.827207 | − | 0.510796i | ||||
\(601\) | 14.3386 | − | 24.8352i | 0.584885 | − | 1.01305i | −0.410005 | − | 0.912083i | \(-0.634473\pi\) |
0.994890 | − | 0.100967i | \(-0.0321936\pi\) | |||||||
\(602\) | − | 7.78375i | − | 0.317242i | ||||||
\(603\) | −7.50175 | − | 8.28162i | −0.305495 | − | 0.337254i | ||||
\(604\) | −1.52360 | −0.0619942 | ||||||||
\(605\) | 16.9671 | + | 7.80228i | 0.689810 | + | 0.317208i | ||||
\(606\) | −3.71476 | + | 23.6831i | −0.150902 | + | 0.962062i | ||||
\(607\) | 3.11321 | − | 1.79741i | 0.126361 | − | 0.0729547i | −0.435487 | − | 0.900195i | \(-0.643424\pi\) |
0.561848 | + | 0.827240i | \(0.310090\pi\) | |||||||
\(608\) | −36.3972 | + | 21.0140i | −1.47610 | + | 0.852229i | ||||
\(609\) | −1.36391 | + | 8.69551i | −0.0552685 | + | 0.352360i | ||||
\(610\) | −2.98482 | + | 6.49088i | −0.120852 | + | 0.262808i | ||||
\(611\) | 9.78657 | 0.395922 | ||||||||
\(612\) | −17.0335 | − | 18.8043i | −0.688539 | − | 0.760118i | ||||
\(613\) | 11.4893i | 0.464050i | 0.972710 | + | 0.232025i | \(0.0745351\pi\) | ||||
−0.972710 | + | 0.232025i | \(0.925465\pi\) | |||||||
\(614\) | 0.749064 | − | 1.29742i | 0.0302298 | − | 0.0523595i | ||||
\(615\) | 15.6056 | − | 7.74344i | 0.629280 | − | 0.312246i | ||||
\(616\) | 2.23745 | + | 3.87538i | 0.0901495 | + | 0.156143i | ||||
\(617\) | 2.45582 | − | 1.41787i | 0.0988676 | − | 0.0570812i | −0.449751 | − | 0.893154i | \(-0.648487\pi\) |
0.548619 | + | 0.836073i | \(0.315154\pi\) | |||||||
\(618\) | 1.13051 | − | 1.40033i | 0.0454756 | − | 0.0563296i | ||||
\(619\) | −11.8225 | + | 20.4772i | −0.475186 | + | 0.823047i | −0.999596 | − | 0.0284190i | \(-0.990953\pi\) |
0.524410 | + | 0.851466i | \(0.324286\pi\) | |||||||
\(620\) | −0.262643 | − | 2.82865i | −0.0105480 | − | 0.113601i | ||||
\(621\) | 14.6341 | − | 0.832761i | 0.587246 | − | 0.0334176i | ||||
\(622\) | 4.48987i | 0.180027i | ||||||||
\(623\) | 9.30190 | + | 5.37045i | 0.372673 | + | 0.215163i | ||||
\(624\) | 2.23267 | + | 1.80246i | 0.0893783 | + | 0.0721562i | ||||
\(625\) | −19.4886 | − | 15.6586i | −0.779546 | − | 0.626345i | ||||
\(626\) | 10.3947 | + | 18.0042i | 0.415457 | + | 0.719592i | ||||
\(627\) | 7.37620 | + | 19.1301i | 0.294577 | + | 0.763984i | ||||
\(628\) | −12.1798 | − | 7.03201i | −0.486027 | − | 0.280608i | ||||
\(629\) | 75.8616 | 3.02480 | ||||||||
\(630\) | −1.20857 | + | 5.44075i | −0.0481507 | + | 0.216765i | ||||
\(631\) | 6.94839 | 0.276611 | 0.138306 | − | 0.990390i | \(-0.455834\pi\) | ||||
0.138306 | + | 0.990390i | \(0.455834\pi\) | |||||||
\(632\) | −12.3754 | − | 7.14491i | −0.492265 | − | 0.284209i | ||||
\(633\) | −33.7578 | − | 5.29500i | −1.34175 | − | 0.210457i | ||||
\(634\) | −6.12421 | − | 10.6074i | −0.243224 | − | 0.421276i | ||||
\(635\) | 21.9296 | + | 30.9668i | 0.870250 | + | 1.22888i | ||||
\(636\) | 3.02338 | − | 19.2753i | 0.119885 | − | 0.764316i | ||||
\(637\) | 4.28497 | + | 2.47393i | 0.169776 | + | 0.0980205i | ||||
\(638\) | − | 6.87075i | − | 0.272015i | ||||||
\(639\) | 0.876725 | + | 4.06487i | 0.0346827 | + | 0.160804i | ||||
\(640\) | −18.0874 | + | 1.67943i | −0.714965 | + | 0.0663851i | ||||
\(641\) | −9.24490 | + | 16.0126i | −0.365151 | + | 0.632461i | −0.988800 | − | 0.149244i | \(-0.952316\pi\) |
0.623649 | + | 0.781705i | \(0.285649\pi\) | |||||||
\(642\) | −3.75727 | − | 9.74447i | −0.148288 | − | 0.384583i | ||||
\(643\) | 4.01632 | − | 2.31883i | 0.158388 | − | 0.0914456i | −0.418711 | − | 0.908120i | \(-0.637518\pi\) |
0.577099 | + | 0.816674i | \(0.304185\pi\) | |||||||
\(644\) | 1.84729 | + | 3.19961i | 0.0727935 | + | 0.126082i | ||||
\(645\) | 20.0847 | − | 30.2189i | 0.790834 | − | 1.18987i | ||||
\(646\) | −19.5124 | + | 33.7965i | −0.767705 | + | 1.32970i | ||||
\(647\) | − | 19.1900i | − | 0.754437i | −0.926124 | − | 0.377219i | \(-0.876881\pi\) | ||
0.926124 | − | 0.377219i | \(-0.123119\pi\) | |||||||
\(648\) | −10.2010 | − | 22.5481i | −0.400735 | − | 0.885774i | ||||
\(649\) | 0.844015 | 0.0331305 | ||||||||
\(650\) | −6.82405 | + | 19.3882i | −0.267661 | + | 0.760468i | ||||
\(651\) | 1.30727 | + | 1.05538i | 0.0512361 | + | 0.0413635i | ||||
\(652\) | −6.84406 | + | 3.95142i | −0.268034 | + | 0.154749i | ||||
\(653\) | 12.4992 | − | 7.21639i | 0.489130 | − | 0.282399i | −0.235084 | − | 0.971975i | \(-0.575536\pi\) |
0.724213 | + | 0.689576i | \(0.242203\pi\) | |||||||
\(654\) | −2.93094 | + | 1.13011i | −0.114609 | + | 0.0441908i | ||||
\(655\) | −38.1658 | − | 17.5505i | −1.49126 | − | 0.685754i | ||||
\(656\) | −1.50609 | −0.0588029 | ||||||||
\(657\) | 26.5746 | − | 5.73170i | 1.03677 | − | 0.223615i | ||||
\(658\) | − | 1.64333i | − | 0.0640637i | ||||||
\(659\) | 15.1138 | − | 26.1778i | 0.588749 | − | 1.01974i | −0.405647 | − | 0.914030i | \(-0.632954\pi\) |
0.994397 | − | 0.105714i | \(-0.0337129\pi\) | |||||||
\(660\) | −0.519703 | + | 8.23841i | −0.0202294 | + | 0.320680i | ||||
\(661\) | −3.20680 | − | 5.55435i | −0.124730 | − | 0.216039i | 0.796897 | − | 0.604115i | \(-0.206473\pi\) |
−0.921627 | + | 0.388076i | \(0.873140\pi\) | |||||||
\(662\) | 8.99597 | − | 5.19383i | 0.349638 | − | 0.201864i | ||||
\(663\) | 54.6706 | + | 8.57523i | 2.12323 | + | 0.333034i | ||||
\(664\) | −3.84152 | + | 6.65371i | −0.149080 | + | 0.258214i | ||||
\(665\) | −16.1956 | + | 1.50377i | −0.628037 | + | 0.0583137i | ||||
\(666\) | 27.8757 | + | 8.96532i | 1.08016 | + | 0.347399i | ||||
\(667\) | − | 14.3350i | − | 0.555054i | ||||||
\(668\) | −2.01881 | − | 1.16556i | −0.0781100 | − | 0.0450968i | ||||
\(669\) | 19.8366 | − | 7.64858i | 0.766926 | − | 0.295711i | ||||
\(670\) | −5.64712 | + | 3.99909i | −0.218167 | + | 0.154498i | ||||
\(671\) | −3.12905 | − | 5.41967i | −0.120796 | − | 0.209224i | ||||
\(672\) | 6.28626 | − | 7.78666i | 0.242498 | − | 0.300377i | ||||
\(673\) | 19.8771 | + | 11.4760i | 0.766204 | + | 0.442368i | 0.831519 | − | 0.555496i | \(-0.187472\pi\) |
−0.0653145 | + | 0.997865i | \(0.520805\pi\) | |||||||
\(674\) | −21.3574 | −0.822655 | ||||||||
\(675\) | −18.7310 | + | 18.0041i | −0.720957 | + | 0.692980i | ||||
\(676\) | −15.0373 | −0.578356 | ||||||||
\(677\) | −29.4526 | − | 17.0045i | −1.13196 | − | 0.653535i | −0.187530 | − | 0.982259i | \(-0.560048\pi\) |
−0.944426 | + | 0.328724i | \(0.893381\pi\) | |||||||
\(678\) | −3.43051 | + | 4.24930i | −0.131748 | + | 0.163193i | ||||
\(679\) | −1.08406 | − | 1.87765i | −0.0416025 | − | 0.0720576i | ||||
\(680\) | −32.4027 | + | 22.9464i | −1.24259 | + | 0.879954i | ||||
\(681\) | −22.3482 | + | 8.61701i | −0.856384 | + | 0.330205i | ||||
\(682\) | −1.13580 | − | 0.655753i | −0.0434920 | − | 0.0251101i | ||||
\(683\) | − | 16.2790i | − | 0.622898i | −0.950263 | − | 0.311449i | \(-0.899186\pi\) | ||
0.950263 | − | 0.311449i | \(-0.100814\pi\) | |||||||
\(684\) | 21.1825 | − | 19.1878i | 0.809932 | − | 0.733663i | ||||
\(685\) | −14.3853 | + | 1.33569i | −0.549635 | + | 0.0510341i | ||||
\(686\) | 0.415414 | − | 0.719518i | 0.0158606 | − | 0.0274713i | ||||
\(687\) | 1.11858 | + | 0.175453i | 0.0426767 | + | 0.00669394i | ||||
\(688\) | −2.71661 | + | 1.56844i | −0.103570 | + | 0.0597961i | ||||
\(689\) | 21.2777 | + | 36.8541i | 0.810617 | + | 1.40403i | ||||
\(690\) | 0.571469 | − | 9.05900i | 0.0217554 | − | 0.344870i | ||||
\(691\) | 10.9933 | − | 19.0409i | 0.418204 | − | 0.724350i | −0.577555 | − | 0.816352i | \(-0.695993\pi\) |
0.995759 | + | 0.0920018i | \(0.0293265\pi\) | |||||||
\(692\) | 13.7860i | 0.524065i | ||||||||
\(693\) | −3.27756 | − | 3.61828i | −0.124504 | − | 0.137447i | ||||
\(694\) | 12.3580 | 0.469102 | ||||||||
\(695\) | −28.1475 | − | 12.9436i | −1.06769 | − | 0.490977i | ||||
\(696\) | −22.5828 | + | 8.70748i | −0.855999 | + | 0.330056i | ||||
\(697\) | −25.1545 | + | 14.5230i | −0.952796 | + | 0.550097i | ||||
\(698\) | −1.48537 | + | 0.857578i | −0.0562220 | + | 0.0324598i | ||||
\(699\) | 3.51201 | + | 2.83529i | 0.132836 | + | 0.107240i | ||||
\(700\) | −6.17717 | − | 2.17417i | −0.233475 | − | 0.0821760i | ||||
\(701\) | −33.8898 | −1.28000 | −0.639999 | − | 0.768376i | \(-0.721065\pi\) | ||||
−0.639999 | + | 0.768376i | \(0.721065\pi\) | |||||||
\(702\) | 19.0756 | + | 9.61198i | 0.719961 | + | 0.362781i | ||||
\(703\) | 85.4559i | 3.22303i | ||||||||
\(704\) | −3.36105 | + | 5.82152i | −0.126675 | + | 0.219407i | ||||
\(705\) | 4.24035 | − | 6.37992i | 0.159701 | − | 0.240282i | ||||
\(706\) | −3.56453 | − | 6.17396i | −0.134153 | − | 0.232360i | ||||
\(707\) | 14.4270 | − | 8.32942i | 0.542583 | − | 0.313260i | ||||
\(708\) | −0.423279 | − | 1.09777i | −0.0159078 | − | 0.0412568i | ||||
\(709\) | −18.1485 | + | 31.4341i | −0.681582 | + | 1.18053i | 0.292917 | + | 0.956138i | \(0.405374\pi\) |
−0.974498 | + | 0.224396i | \(0.927959\pi\) | |||||||
\(710\) | 2.56408 | − | 0.238077i | 0.0962282 | − | 0.00893487i | ||||
\(711\) | 14.8413 | + | 4.77322i | 0.556591 | + | 0.179010i | ||||
\(712\) | 29.5355i | 1.10689i | ||||||||
\(713\) | −2.36971 | − | 1.36815i | −0.0887464 | − | 0.0512377i | ||||
\(714\) | 1.43993 | − | 9.18013i | 0.0538879 | − | 0.343558i | ||||
\(715\) | −10.4053 | − | 14.6933i | −0.389135 | − | 0.549499i | ||||
\(716\) | 13.5439 | + | 23.4587i | 0.506158 | + | 0.876692i | ||||
\(717\) | 45.7793 | + | 7.18060i | 1.70966 | + | 0.268165i | ||||
\(718\) | −1.45037 | − | 0.837371i | −0.0541273 | − | 0.0312504i | ||||
\(719\) | 0.810919 | 0.0302422 | 0.0151211 | − | 0.999886i | \(-0.495187\pi\) | ||||
0.0151211 | + | 0.999886i | \(0.495187\pi\) | |||||||
\(720\) | 2.14241 | − | 0.674515i | 0.0798429 | − | 0.0251377i | ||||
\(721\) | −1.25064 | −0.0465762 | ||||||||
\(722\) | −24.3999 | − | 14.0873i | −0.908070 | − | 0.524275i | ||||
\(723\) | 12.4510 | + | 32.2917i | 0.463058 | + | 1.20094i | ||||
\(724\) | −6.52914 | − | 11.3088i | −0.242653 | − | 0.420288i | ||||
\(725\) | 16.5385 | + | 19.2893i | 0.614225 | + | 0.716388i | ||||
\(726\) | −9.35139 | − | 7.54949i | −0.347063 | − | 0.280188i | ||||
\(727\) | 22.8173 | + | 13.1736i | 0.846247 | + | 0.488581i | 0.859383 | − | 0.511333i | \(-0.170848\pi\) |
−0.0131356 | + | 0.999914i | \(0.504181\pi\) | |||||||
\(728\) | 13.6057i | 0.504259i | ||||||||
\(729\) | 16.0655 | + | 21.7002i | 0.595017 | + | 0.803713i | ||||
\(730\) | −1.55646 | − | 16.7630i | −0.0576071 | − | 0.620426i | ||||
\(731\) | −30.2484 | + | 52.3918i | −1.11878 | + | 1.93778i | ||||
\(732\) | −5.47988 | + | 6.78781i | −0.202542 | + | 0.250885i | ||||
\(733\) | 5.23418 | − | 3.02195i | 0.193329 | − | 0.111618i | −0.400211 | − | 0.916423i | \(-0.631063\pi\) |
0.593540 | + | 0.804805i | \(0.297730\pi\) | |||||||
\(734\) | −3.29946 | − | 5.71484i | −0.121785 | − | 0.210938i | ||||
\(735\) | 3.46937 | − | 1.72148i | 0.127969 | − | 0.0634979i | ||||
\(736\) | −8.14928 | + | 14.1150i | −0.300386 | + | 0.520284i | ||||
\(737\) | − | 6.06141i | − | 0.223275i | ||||||
\(738\) | −10.9595 | + | 2.36378i | −0.403424 | + | 0.0870118i | ||||
\(739\) | 52.8108 | 1.94268 | 0.971338 | − | 0.237704i | \(-0.0763950\pi\) | ||||
0.971338 | + | 0.237704i | \(0.0763950\pi\) | |||||||
\(740\) | −14.3745 | + | 31.2592i | −0.528416 | + | 1.14911i | ||||
\(741\) | −9.65975 | + | 61.5849i | −0.354860 | + | 2.26238i | ||||
\(742\) | 6.18843 | − | 3.57289i | 0.227184 | − | 0.131165i | ||||
\(743\) | 26.6262 | − | 15.3727i | 0.976822 | − | 0.563968i | 0.0755128 | − | 0.997145i | \(-0.475941\pi\) |
0.901309 | + | 0.433176i | \(0.142607\pi\) | |||||||
\(744\) | −0.715906 | + | 4.56420i | −0.0262464 | + | 0.167332i | ||||
\(745\) | −2.02805 | − | 0.932596i | −0.0743021 | − | 0.0341677i | ||||
\(746\) | 12.9236 | 0.473165 | ||||||||
\(747\) | 2.56636 | − | 7.97953i | 0.0938982 | − | 0.291956i | ||||
\(748\) | − | 13.7631i | − | 0.503227i | ||||||
\(749\) | −3.62873 | + | 6.28514i | −0.132591 | + | 0.229654i | ||||
\(750\) | 9.68253 | + | 12.8492i | 0.353556 | + | 0.469186i | ||||
\(751\) | 0.841981 | + | 1.45835i | 0.0307243 | + | 0.0532161i | 0.880979 | − | 0.473156i | \(-0.156885\pi\) |
−0.850254 | + | 0.526372i | \(0.823552\pi\) | |||||||
\(752\) | −0.573540 | + | 0.331134i | −0.0209149 | + | 0.0120752i | ||||
\(753\) | −11.4400 | + | 14.1704i | −0.416896 | + | 0.516400i | ||||
\(754\) | 10.4450 | − | 18.0913i | 0.380386 | − | 0.658848i | ||||
\(755\) | −0.240490 | − | 2.59006i | −0.00875232 | − | 0.0942621i | ||||
\(756\) | −3.06242 | + | 6.07756i | −0.111379 | + | 0.221039i | ||||
\(757\) | − | 12.2008i | − | 0.443447i | −0.975110 | − | 0.221724i | \(-0.928832\pi\) | ||
0.975110 | − | 0.221724i | \(-0.0711683\pi\) | |||||||
\(758\) | −15.6429 | − | 9.03144i | −0.568176 | − | 0.328036i | ||||
\(759\) | 6.18664 | + | 4.99454i | 0.224561 | + | 0.181290i | ||||
\(760\) | −25.8485 | − | 36.5007i | −0.937622 | − | 1.32402i | ||||
\(761\) | −12.7596 | − | 22.1003i | −0.462536 | − | 0.801136i | 0.536551 | − | 0.843868i | \(-0.319727\pi\) |
−0.999087 | + | 0.0427323i | \(0.986394\pi\) | |||||||
\(762\) | −8.78542 | − | 22.7849i | −0.318262 | − | 0.825411i | ||||
\(763\) | 1.89044 | + | 1.09145i | 0.0684385 | + | 0.0395130i | ||||
\(764\) | 24.7541 | 0.895573 | ||||||||
\(765\) | 29.2781 | − | 31.9246i | 1.05855 | − | 1.15424i | ||||
\(766\) | 28.8886 | 1.04379 | ||||||||
\(767\) | 2.22237 | + | 1.28309i | 0.0802453 | + | 0.0463296i | ||||
\(768\) | 25.6855 | + | 4.02883i | 0.926845 | + | 0.145378i | ||||
\(769\) | −10.9173 | − | 18.9094i | −0.393689 | − | 0.681889i | 0.599244 | − | 0.800566i | \(-0.295468\pi\) |
−0.992933 | + | 0.118678i | \(0.962134\pi\) | |||||||
\(770\) | −2.46726 | + | 1.74722i | −0.0889138 | + | 0.0629656i | ||||
\(771\) | 5.49994 | − | 35.0644i | 0.198076 | − | 1.26281i | ||||
\(772\) | 13.9212 | + | 8.03742i | 0.501035 | + | 0.289273i | ||||
\(773\) | − | 25.1482i | − | 0.904517i | −0.891887 | − | 0.452258i | \(-0.850619\pi\) | ||
0.891887 | − | 0.452258i | \(-0.149381\pi\) | |||||||
\(774\) | −17.3066 | + | 15.6769i | −0.622072 | + | 0.563493i | ||||
\(775\) | 4.76717 | − | 0.892969i | 0.171242 | − | 0.0320764i | ||||
\(776\) | 2.98097 | − | 5.16318i | 0.107010 | − | 0.185348i | ||||
\(777\) | −7.32056 | − | 18.9858i | −0.262624 | − | 0.681113i | ||||
\(778\) | −1.56424 | + | 0.903112i | −0.0560806 | + | 0.0323781i | ||||
\(779\) | −16.3597 | − | 28.3359i | −0.586148 | − | 1.01524i | ||||
\(780\) | −13.8926 | + | 20.9025i | −0.497436 | + | 0.748429i | ||||
\(781\) | −1.12785 | + | 1.95349i | −0.0403575 | + | 0.0699012i | ||||
\(782\) | 15.1339i | 0.541188i | ||||||||
\(783\) | 22.0808 | − | 14.4806i | 0.789103 | − | 0.517495i | ||||
\(784\) | −0.334826 | −0.0119581 | ||||||||
\(785\) | 10.0317 | − | 21.8152i | 0.358047 | − | 0.778619i | ||||
\(786\) | 21.0350 | + | 16.9818i | 0.750295 | + | 0.605722i | ||||
\(787\) | 22.0797 | − | 12.7477i | 0.787056 | − | 0.454407i | −0.0518691 | − | 0.998654i | \(-0.516518\pi\) |
0.838925 | + | 0.544247i | \(0.183185\pi\) | |||||||
\(788\) | 18.4628 | − | 10.6595i | 0.657711 | − | 0.379729i | ||||
\(789\) | −17.6097 | + | 6.78994i | −0.626921 | + | 0.241728i | ||||
\(790\) | 4.03348 | − | 8.77133i | 0.143505 | − | 0.312070i | ||||
\(791\) | 3.79505 | 0.134937 | ||||||||
\(792\) | 4.11027 | − | 12.7800i | 0.146052 | − | 0.454118i | ||||
\(793\) | − | 19.0274i | − | 0.675681i | ||||||
\(794\) | 9.54555 | − | 16.5334i | 0.338759 | − | 0.586748i | ||||
\(795\) | 33.2446 | + | 2.09717i | 1.17907 | + | 0.0743790i | ||||
\(796\) | 14.1824 | + | 24.5647i | 0.502683 | + | 0.870672i | ||||
\(797\) | 11.5588 | − | 6.67345i | 0.409432 | − | 0.236386i | −0.281113 | − | 0.959675i | \(-0.590704\pi\) |
0.690546 | + | 0.723289i | \(0.257370\pi\) | |||||||
\(798\) | 10.3412 | + | 1.62204i | 0.366073 | + | 0.0574194i | ||||
\(799\) | −6.38614 | + | 11.0611i | −0.225925 | + | 0.391314i | ||||
\(800\) | −5.31889 | − | 28.3952i | −0.188051 | − | 1.00392i | ||||
\(801\) | −6.79368 | − | 31.4984i | −0.240043 | − | 1.11294i | ||||
\(802\) | 17.2183i | 0.607999i | ||||||||
\(803\) | 12.7712 | + | 7.37343i | 0.450684 | + | 0.260203i | ||||
\(804\) | −7.88380 | + | 3.03984i | −0.278040 | + | 0.107207i | ||||
\(805\) | −5.14765 | + | 3.64538i | −0.181431 | + | 0.128483i | ||||
\(806\) | −1.99378 | − | 3.45332i | −0.0702278 | − | 0.121638i | ||||
\(807\) | 5.80768 | − | 7.19385i | 0.204440 | − | 0.253235i | ||||
\(808\) | 39.6715 | + | 22.9044i | 1.39564 | + | 0.805773i | ||||
\(809\) | −24.4319 | −0.858981 | −0.429490 | − | 0.903071i | \(-0.641307\pi\) | ||||
−0.429490 | + | 0.903071i | \(0.641307\pi\) | |||||||
\(810\) | 14.5312 | − | 8.27076i | 0.510575 | − | 0.290605i | ||||
\(811\) | −15.5630 | −0.546492 | −0.273246 | − | 0.961944i | \(-0.588097\pi\) | ||||
−0.273246 | + | 0.961944i | \(0.588097\pi\) | |||||||
\(812\) | 5.76398 | + | 3.32784i | 0.202276 | + | 0.116784i | ||||
\(813\) | −7.90949 | + | 9.79731i | −0.277398 | + | 0.343607i | ||||
\(814\) | 7.94198 | + | 13.7559i | 0.278366 | + | 0.482145i | ||||
\(815\) | −7.79758 | − | 11.0110i | −0.273137 | − | 0.385698i | ||||
\(816\) | −3.49411 | + | 1.34726i | −0.122318 | + | 0.0471635i | ||||
\(817\) | −59.0178 | − | 34.0740i | −2.06477 | − | 1.19210i | ||||
\(818\) | 18.2784i | 0.639089i | ||||||||
\(819\) | −3.12954 | − | 14.5099i | −0.109355 | − | 0.507017i | ||||
\(820\) | −1.21792 | − | 13.1169i | −0.0425315 | − | 0.458063i | ||||
\(821\) | 0.0323750 | − | 0.0560751i | 0.00112990 | − | 0.00195704i | −0.865460 | − | 0.500978i | \(-0.832974\pi\) |
0.866590 | + | 0.499021i | \(0.166307\pi\) | |||||||
\(822\) | 9.18529 | + | 1.44074i | 0.320374 | + | 0.0502515i | ||||
\(823\) | −9.90397 | + | 5.71806i | −0.345231 | + | 0.199319i | −0.662583 | − | 0.748989i | \(-0.730540\pi\) |
0.317352 | + | 0.948308i | \(0.397206\pi\) | |||||||
\(824\) | −1.71951 | − | 2.97828i | −0.0599020 | − | 0.103753i | ||||
\(825\) | −14.0871 | + | 0.416901i | −0.490449 | + | 0.0145146i | ||||
\(826\) | 0.215452 | − | 0.373174i | 0.00749655 | − | 0.0129844i | ||||
\(827\) | 23.7657i | 0.826413i | 0.910637 | + | 0.413206i | \(0.135591\pi\) | ||||
−0.910637 | + | 0.413206i | \(0.864409\pi\) | |||||||
\(828\) | 3.39354 | − | 10.5515i | 0.117934 | − | 0.366689i | ||||
\(829\) | 46.1598 | 1.60319 | 0.801597 | − | 0.597864i | \(-0.203984\pi\) | ||||
0.801597 | + | 0.597864i | \(0.203984\pi\) | |||||||
\(830\) | −4.71598 | − | 2.16863i | −0.163694 | − | 0.0752744i | ||||
\(831\) | −7.44247 | + | 2.86967i | −0.258176 | + | 0.0995476i | ||||
\(832\) | −17.7000 | + | 10.2191i | −0.613636 | + | 0.354283i | ||||
\(833\) | −5.59223 | + | 3.22868i | −0.193759 | + | 0.111867i | ||||
\(834\) | 15.5135 | + | 12.5242i | 0.537187 | + | 0.433677i | ||||
\(835\) | 1.66276 | − | 3.61589i | 0.0575421 | − | 0.125133i | ||||
\(836\) | 15.5037 | 0.536206 | ||||||||
\(837\) | −0.286361 | − | 5.03221i | −0.00989807 | − | 0.173939i | ||||
\(838\) | 1.61139i | 0.0556646i | ||||||||
\(839\) | 5.41852 | − | 9.38515i | 0.187068 | − | 0.324011i | −0.757203 | − | 0.653179i | \(-0.773435\pi\) |
0.944271 | + | 0.329168i | \(0.106768\pi\) | |||||||
\(840\) | 8.86961 | + | 5.89509i | 0.306030 | + | 0.203400i | ||||
\(841\) | 1.58797 | + | 2.75045i | 0.0547577 | + | 0.0948431i | ||||
\(842\) | −1.64269 | + | 0.948405i | −0.0566107 | + | 0.0326842i | ||||
\(843\) | −2.85622 | − | 7.40760i | −0.0983736 | − | 0.255131i | ||||
\(844\) | −12.9194 | + | 22.3770i | −0.444703 | + | 0.770248i | ||||
\(845\) | −2.37353 | − | 25.5629i | −0.0816520 | − | 0.879389i | ||||
\(846\) | −3.65382 | + | 3.30975i | −0.125621 | + | 0.113791i | ||||
\(847\) | 8.35174i | 0.286969i | ||||||||
\(848\) | −2.49396 | − | 1.43989i | −0.0856428 | − | 0.0494459i | ||||
\(849\) | 5.65787 | − | 36.0713i | 0.194178 | − | 1.23796i | ||||
\(850\) | −17.4602 | − | 20.3644i | −0.598881 | − | 0.698492i | ||||
\(851\) | 16.5700 | + | 28.7001i | 0.568013 | + | 0.983828i | ||||
\(852\) | 3.10643 | + | 0.487252i | 0.106425 | + | 0.0166930i | ||||
\(853\) | −10.5649 | − | 6.09964i | −0.361735 | − | 0.208848i | 0.308107 | − | 0.951352i | \(-0.400305\pi\) |
−0.669841 | + | 0.742504i | \(0.733638\pi\) | |||||||
\(854\) | −3.19502 | −0.109331 | ||||||||
\(855\) | 35.9621 | + | 32.9809i | 1.22988 | + | 1.12792i | ||||
\(856\) | −19.9566 | −0.682104 | ||||||||
\(857\) | −34.9698 | − | 20.1898i | −1.19454 | − | 0.689671i | −0.235211 | − | 0.971944i | \(-0.575578\pi\) |
−0.959334 | + | 0.282274i | \(0.908911\pi\) | |||||||
\(858\) | 4.16856 | + | 10.8111i | 0.142312 | + | 0.369086i | ||||
\(859\) | −8.22844 | − | 14.2521i | −0.280751 | − | 0.486275i | 0.690819 | − | 0.723028i | \(-0.257250\pi\) |
−0.971570 | + | 0.236753i | \(0.923917\pi\) | |||||||
\(860\) | −15.8568 | − | 22.3914i | −0.540711 | − | 0.763539i | ||||
\(861\) | 6.06205 | + | 4.89396i | 0.206594 | + | 0.166786i | ||||
\(862\) | 17.4984 | + | 10.1027i | 0.595999 | + | 0.344100i | ||||
\(863\) | − | 24.0438i | − | 0.818461i | −0.912431 | − | 0.409230i | \(-0.865797\pi\) | ||
0.912431 | − | 0.409230i | \(-0.134203\pi\) | |||||||
\(864\) | −29.9739 | + | 1.70568i | −1.01973 | + | 0.0580284i | ||||
\(865\) | −23.4358 | + | 2.17603i | −0.796840 | + | 0.0739873i | ||||
\(866\) | −10.0883 | + | 17.4734i | −0.342813 | + | 0.593770i | ||||
\(867\) | −26.8708 | + | 33.2843i | −0.912581 | + | 1.13039i | ||||
\(868\) | 1.10024 | − | 0.635227i | 0.0373447 | − | 0.0215610i | ||||
\(869\) | 4.22838 | + | 7.32377i | 0.143438 | + | 0.248442i | ||||
\(870\) | −7.26819 | − | 14.6478i | −0.246415 | − | 0.496608i | ||||
\(871\) | 9.21467 | − | 15.9603i | 0.312227 | − | 0.540793i | ||||
\(872\) | 6.00255i | 0.203272i | ||||||||
\(873\) | −1.99146 | + | 6.19200i | −0.0674006 | + | 0.209568i | ||||
\(874\) | −17.0479 | −0.576655 | ||||||||
\(875\) | 2.72100 | − | 10.8442i | 0.0919866 | − | 0.366600i | ||||
\(876\) | 3.18547 | − | 20.3087i | 0.107627 | − | 0.686167i | ||||
\(877\) | −27.3431 | + | 15.7866i | −0.923313 | + | 0.533075i | −0.884690 | − | 0.466179i | \(-0.845630\pi\) |
−0.0386222 | + | 0.999254i | \(0.512297\pi\) | |||||||
\(878\) | 17.3963 | − | 10.0438i | 0.587097 | − | 0.338961i | ||||
\(879\) | −2.52423 | + | 16.0930i | −0.0851401 | + | 0.542804i | ||||
\(880\) | 1.10696 | + | 0.509032i | 0.0373155 | + | 0.0171595i | ||||
\(881\) | 7.34150 | 0.247341 | 0.123671 | − | 0.992323i | \(-0.460533\pi\) | ||||
0.123671 | + | 0.992323i | \(0.460533\pi\) | |||||||
\(882\) | −2.43646 | + | 0.525503i | −0.0820398 | + | 0.0176946i | ||||
\(883\) | 47.3972i | 1.59504i | 0.603291 | + | 0.797521i | \(0.293856\pi\) | ||||
−0.603291 | + | 0.797521i | \(0.706144\pi\) | |||||||
\(884\) | 20.9229 | − | 36.2395i | 0.703712 | − | 1.21887i | ||||
\(885\) | 1.79937 | − | 0.892838i | 0.0604851 | − | 0.0300124i | ||||
\(886\) | −0.434302 | − | 0.752233i | −0.0145907 | − | 0.0252718i | ||||
\(887\) | 24.5759 | − | 14.1889i | 0.825179 | − | 0.476417i | −0.0270201 | − | 0.999635i | \(-0.508602\pi\) |
0.852199 | + | 0.523218i | \(0.175268\pi\) | |||||||
\(888\) | 35.1479 | − | 43.5370i | 1.17949 | − | 1.46101i | ||||
\(889\) | −8.48485 | + | 14.6962i | −0.284573 | + | 0.492894i | ||||
\(890\) | −19.8689 | + | 1.84484i | −0.666006 | + | 0.0618392i | ||||
\(891\) | −1.44382 | + | 14.5748i | −0.0483697 | + | 0.488274i | ||||
\(892\) | − | 16.0762i | − | 0.538271i | ||||||
\(893\) | −12.4600 | − | 7.19380i | −0.416959 | − | 0.240731i | ||||
\(894\) | 1.11776 | + | 0.902380i | 0.0373835 | + | 0.0301801i | ||||
\(895\) | −37.7412 | + | 26.7270i | −1.26155 | + | 0.893384i | ||||
\(896\) | −4.06185 | − | 7.03533i | −0.135697 | − | 0.235034i | ||||
\(897\) | 8.69721 | + | 22.5562i | 0.290391 | + | 0.753128i | ||||
\(898\) | 5.31491 | + | 3.06857i | 0.177361 | + | 0.102399i | ||||
\(899\) | −4.92936 | −0.164404 | ||||||||
\(900\) | 7.60701 | + | 18.1133i | 0.253567 | + | 0.603778i | ||||
\(901\) | −55.5384 | −1.85025 | ||||||||
\(902\) | −5.26688 | − | 3.04084i | −0.175368 | − | 0.101249i | ||||
\(903\) | 16.0310 | + | 2.51450i | 0.533478 | + | 0.0836774i | ||||
\(904\) | 5.21784 | + | 9.03757i | 0.173543 | + | 0.300585i | ||||
\(905\) | 18.1940 | − | 12.8844i | 0.604790 | − | 0.428290i | ||||
\(906\) | −0.259403 | + | 1.65380i | −0.00861809 | + | 0.0549439i | ||||
\(907\) | 5.68495 | + | 3.28221i | 0.188766 | + | 0.108984i | 0.591405 | − | 0.806375i | \(-0.298574\pi\) |
−0.402639 | + | 0.915359i | \(0.631907\pi\) | |||||||
\(908\) | 18.1117i | 0.601058i | ||||||||
\(909\) | −47.5765 | − | 15.3014i | −1.57801 | − | 0.507517i | ||||
\(910\) | −9.15269 | + | 0.849835i | −0.303409 | + | 0.0281718i | ||||
\(911\) | 1.16798 | − | 2.02300i | 0.0386969 | − | 0.0670251i | −0.846028 | − | 0.533138i | \(-0.821013\pi\) |
0.884725 | + | 0.466113i | \(0.154346\pi\) | |||||||
\(912\) | −1.51765 | − | 3.93602i | −0.0502544 | − | 0.130335i | ||||
\(913\) | 3.93769 | − | 2.27342i | 0.130318 | − | 0.0752394i | ||||
\(914\) | −13.6240 | − | 23.5974i | −0.450642 | − | 0.780534i | ||||
\(915\) | −12.4040 | − | 8.24422i | −0.410065 | − | 0.272546i | ||||
\(916\) | 0.428091 | − | 0.741475i | 0.0141445 | − | 0.0244990i | ||||
\(917\) | − | 18.7864i | − | 0.620382i | ||||||
\(918\) | −23.3114 | + | 15.2877i | −0.769391 | + | 0.504568i | ||||
\(919\) | 39.7073 | 1.30982 | 0.654912 | − | 0.755706i | \(-0.272706\pi\) | ||||
0.654912 | + | 0.755706i | \(0.272706\pi\) | |||||||
\(920\) | −15.7587 | − | 7.24659i | −0.519548 | − | 0.238913i | ||||
\(921\) | 2.43011 | + | 1.96186i | 0.0800748 | + | 0.0646454i | ||||
\(922\) | 14.2061 | − | 8.20188i | 0.467852 | − | 0.270114i | ||||
\(923\) | −5.93946 | + | 3.42915i | −0.195500 | + | 0.112872i | ||||
\(924\) | −3.44447 | + | 1.32812i | −0.113315 | + | 0.0436920i | ||||
\(925\) | −55.4085 | − | 19.5021i | −1.82182 | − | 0.641225i | ||||
\(926\) | 1.04505 | 0.0343426 | ||||||||
\(927\) | 2.51885 | + | 2.78070i | 0.0827298 | + | 0.0913301i | ||||
\(928\) | 29.3613i | 0.963832i | ||||||||
\(929\) | 21.7027 | − | 37.5901i | 0.712041 | − | 1.23329i | −0.252049 | − | 0.967715i | \(-0.581104\pi\) |
0.964090 | − | 0.265577i | \(-0.0855624\pi\) | |||||||
\(930\) | −3.11511 | − | 0.196510i | −0.102148 | − | 0.00644382i | ||||
\(931\) | −3.63701 | − | 6.29949i | −0.119198 | − | 0.206457i | ||||
\(932\) | 2.95582 | − | 1.70655i | 0.0968212 | − | 0.0558997i | ||||
\(933\) | −9.24709 | − | 1.45043i | −0.302736 | − | 0.0474849i | ||||
\(934\) | 14.9573 | − | 25.9068i | 0.489418 | − | 0.847697i | ||||
\(935\) | 23.3968 | − | 2.17241i | 0.765156 | − | 0.0710454i | ||||
\(936\) | 30.2512 | − | 27.4025i | 0.988790 | − | 0.895677i | ||||
\(937\) | − | 48.8313i | − | 1.59525i | −0.603154 | − | 0.797625i | \(-0.706090\pi\) | ||
0.603154 | − | 0.797625i | \(-0.293910\pi\) | |||||||
\(938\) | −2.68000 | − | 1.54730i | −0.0875051 | − | 0.0505211i | ||||
\(939\) | −40.4384 | + | 15.5923i | −1.31966 | + | 0.508834i | ||||
\(940\) | −3.34773 | − | 4.72734i | −0.109191 | − | 0.154189i | ||||
\(941\) | −20.7334 | − | 35.9114i | −0.675891 | − | 1.17068i | −0.976208 | − | 0.216837i | \(-0.930426\pi\) |
0.300317 | − | 0.953839i | \(-0.402907\pi\) | |||||||
\(942\) | −9.70667 | + | 12.0234i | −0.316260 | + | 0.391745i | ||||
\(943\) | −10.9887 | − | 6.34435i | −0.357843 | − | 0.206600i | ||||
\(944\) | −0.173656 | −0.00565202 | ||||||||
\(945\) | −10.8151 | − | 4.24672i | −0.351814 | − | 0.138146i | ||||
\(946\) | −12.6669 | −0.411836 | ||||||||
\(947\) | −10.2602 | − | 5.92375i | −0.333413 | − | 0.192496i | 0.323942 | − | 0.946077i | \(-0.394992\pi\) |
−0.657355 | + | 0.753581i | \(0.728325\pi\) | |||||||
\(948\) | 7.40514 | − | 9.17259i | 0.240508 | − | 0.297912i | ||||
\(949\) | 22.4185 | + | 38.8299i | 0.727734 | + | 1.26047i | ||||
\(950\) | 22.9399 | − | 19.6685i | 0.744268 | − | 0.638129i | ||||
\(951\) | 23.8249 | − | 9.18642i | 0.772576 | − | 0.297890i | ||||
\(952\) | −15.3776 | − | 8.87826i | −0.498391 | − | 0.287746i | ||||
\(953\) | − | 13.9964i | − | 0.453388i | −0.973966 | − | 0.226694i | \(-0.927208\pi\) | ||
0.973966 | − | 0.226694i | \(-0.0727918\pi\) | |||||||
\(954\) | −20.4078 | − | 6.56352i | −0.660728 | − | 0.212502i | ||||
\(955\) | 3.90728 | + | 42.0813i | 0.126437 | + | 1.36172i | ||||
\(956\) | 17.5201 | − | 30.3457i | 0.566640 | − | 0.981450i | ||||
\(957\) | 14.1506 | + | 2.21956i | 0.457425 | + | 0.0717482i | ||||
\(958\) | −23.6066 | + | 13.6293i | −0.762693 | + | 0.440341i | ||||
\(959\) | −3.23049 | − | 5.59538i | −0.104318 | − | 0.180684i | ||||
\(960\) | −1.00721 | + | 15.9665i | −0.0325076 | + | 0.515315i | ||||
\(961\) | 15.0295 | − | 26.0319i | 0.484824 | − | 0.839739i | ||||
\(962\) | 48.2942i | 1.55707i | ||||||||
\(963\) | 21.2830 | − | 4.59038i | 0.685833 | − | 0.147923i | ||||
\(964\) | 26.1702 | 0.842886 | ||||||||
\(965\) | −11.4660 | + | 24.9343i | −0.369103 | + | 0.802663i | ||||
\(966\) | 3.78756 | − | 1.46041i | 0.121863 | − | 0.0469879i | ||||
\(967\) | −25.3957 | + | 14.6622i | −0.816671 | + | 0.471505i | −0.849267 | − | 0.527964i | \(-0.822956\pi\) |
0.0325964 | + | 0.999469i | \(0.489622\pi\) | |||||||
\(968\) | −19.8889 | + | 11.4829i | −0.639253 | + | 0.369073i | ||||
\(969\) | −63.3020 | − | 51.1045i | −2.03355 | − | 1.64171i | ||||
\(970\) | 3.65953 | + | 1.68283i | 0.117500 | + | 0.0540324i | ||||
\(971\) | 22.3105 | 0.715978 | 0.357989 | − | 0.933726i | \(-0.383463\pi\) | ||||
0.357989 | + | 0.933726i | \(0.383463\pi\) | |||||||
\(972\) | 19.6809 | − | 5.43144i | 0.631264 | − | 0.174214i | ||||
\(973\) | − | 13.8551i | − | 0.444173i | ||||||
\(974\) | 7.97845 | − | 13.8191i | 0.255646 | − | 0.442792i | ||||
\(975\) | −37.7264 | − | 20.3177i | −1.20821 | − | 0.650687i | ||||
\(976\) | 0.643801 | + | 1.11510i | 0.0206076 | + | 0.0356933i | ||||
\(977\) | 27.1071 | − | 15.6503i | 0.867232 | − | 0.500696i | 0.000804405 | − | 1.00000i | \(-0.499744\pi\) |
0.866427 | + | 0.499303i | \(0.166411\pi\) | |||||||
\(978\) | 3.12386 | + | 8.10172i | 0.0998900 | + | 0.259064i | ||||
\(979\) | 8.73959 | − | 15.1374i | 0.279319 | − | 0.483794i | ||||
\(980\) | −0.270761 | − | 2.91609i | −0.00864915 | − | 0.0931511i | ||||
\(981\) | −1.38069 | − | 6.40147i | −0.0440821 | − | 0.204383i | ||||
\(982\) | 5.64382i | 0.180101i | ||||||||
\(983\) | 24.9825 | + | 14.4237i | 0.796819 | + | 0.460044i | 0.842358 | − | 0.538919i | \(-0.181167\pi\) |
−0.0455386 | + | 0.998963i | \(0.514500\pi\) | |||||||
\(984\) | −3.31978 | + | 21.1649i | −0.105831 | + | 0.674714i | ||||
\(985\) | 21.0351 | + | 29.7037i | 0.670233 | + | 0.946438i | ||||
\(986\) | 13.6316 | + | 23.6107i | 0.434120 | + | 0.751918i | ||||
\(987\) | 3.38452 | + | 0.530870i | 0.107730 | + | 0.0168978i | ||||
\(988\) | 40.8227 | + | 23.5690i | 1.29874 | + | 0.749830i | ||||
\(989\) | −26.4280 | −0.840360 | ||||||||
\(990\) | 8.85399 | + | 1.96677i | 0.281398 | + | 0.0625080i | ||||
\(991\) | −22.2547 | −0.706943 | −0.353472 | − | 0.935445i | \(-0.614999\pi\) | ||||
−0.353472 | + | 0.935445i | \(0.614999\pi\) | |||||||
\(992\) | 4.85370 | + | 2.80228i | 0.154105 | + | 0.0889726i | ||||
\(993\) | 7.79082 | + | 20.2055i | 0.247234 | + | 0.641201i | ||||
\(994\) | 0.575812 | + | 0.997335i | 0.0182636 | + | 0.0316336i | ||||
\(995\) | −39.5206 | + | 27.9871i | −1.25289 | + | 0.887250i | ||||
\(996\) | −4.93172 | − | 3.98143i | −0.156267 | − | 0.126157i | ||||
\(997\) | −32.1153 | − | 18.5418i | −1.01710 | − | 0.587223i | −0.103838 | − | 0.994594i | \(-0.533112\pi\) |
−0.913263 | + | 0.407371i | \(0.866446\pi\) | |||||||
\(998\) | 7.54372i | 0.238792i | ||||||||
\(999\) | −27.4696 | + | 54.5151i | −0.869099 | + | 1.72478i |
(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 | 315.2.bh.c.169.13 | ✓ | 64 | |
3.2 | odd | 2 | 945.2.bh.c.694.20 | 64 | |||
5.4 | even | 2 | inner | 315.2.bh.c.169.20 | yes | 64 | |
9.4 | even | 3 | inner | 315.2.bh.c.274.20 | yes | 64 | |
9.5 | odd | 6 | 945.2.bh.c.64.13 | 64 | |||
15.14 | odd | 2 | 945.2.bh.c.694.13 | 64 | |||
45.4 | even | 6 | inner | 315.2.bh.c.274.13 | yes | 64 | |
45.14 | odd | 6 | 945.2.bh.c.64.20 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bh.c.169.13 | ✓ | 64 | 1.1 | even | 1 | trivial | |
315.2.bh.c.169.20 | yes | 64 | 5.4 | even | 2 | inner | |
315.2.bh.c.274.13 | yes | 64 | 45.4 | even | 6 | inner | |
315.2.bh.c.274.20 | yes | 64 | 9.4 | even | 3 | inner | |
945.2.bh.c.64.13 | 64 | 9.5 | odd | 6 | |||
945.2.bh.c.64.20 | 64 | 45.14 | odd | 6 | |||
945.2.bh.c.694.13 | 64 | 15.14 | odd | 2 | |||
945.2.bh.c.694.20 | 64 | 3.2 | odd | 2 |