Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.1 | ||
Root | \(-0.104528 + 0.994522i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.141 |
Dual form | 350.2.h.a.211.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.413545 | − | 1.27276i | −0.238761 | − | 0.734830i | −0.996600 | − | 0.0823887i | \(-0.973745\pi\) |
0.757840 | − | 0.652441i | \(-0.226255\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −1.11803 | + | 1.93649i | −0.500000 | + | 0.866025i | ||||
\(6\) | −0.413545 | + | 1.27276i | −0.168829 | + | 0.519603i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 0.978148 | − | 0.710666i | 0.326049 | − | 0.236889i | ||||
\(10\) | 2.04275 | − | 0.909491i | 0.645974 | − | 0.287606i | ||||
\(11\) | −3.33448 | − | 2.42264i | −1.00538 | − | 0.730455i | −0.0421484 | − | 0.999111i | \(-0.513420\pi\) |
−0.963236 | + | 0.268657i | \(0.913420\pi\) | |||||||
\(12\) | 1.08268 | − | 0.786610i | 0.312542 | − | 0.227075i | ||||
\(13\) | 3.59618 | − | 2.61278i | 0.997401 | − | 0.724654i | 0.0358719 | − | 0.999356i | \(-0.488579\pi\) |
0.961529 | + | 0.274702i | \(0.0885792\pi\) | |||||||
\(14\) | −0.809017 | − | 0.587785i | −0.216219 | − | 0.157092i | ||||
\(15\) | 2.92705 | + | 0.622164i | 0.755761 | + | 0.160642i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 2.06460 | − | 6.35419i | 0.500740 | − | 1.54112i | −0.307077 | − | 0.951685i | \(-0.599351\pi\) |
0.807817 | − | 0.589433i | \(-0.200649\pi\) | |||||||
\(18\) | −1.20906 | −0.284977 | ||||||||
\(19\) | −0.290943 | + | 0.895431i | −0.0667469 | + | 0.205426i | −0.978867 | − | 0.204497i | \(-0.934444\pi\) |
0.912120 | + | 0.409923i | \(0.134444\pi\) | |||||||
\(20\) | −2.18720 | − | 0.464905i | −0.489074 | − | 0.103956i | ||||
\(21\) | −0.413545 | − | 1.27276i | −0.0902430 | − | 0.277739i | ||||
\(22\) | 1.27366 | + | 3.91992i | 0.271545 | + | 0.835730i | ||||
\(23\) | 2.44890 | + | 1.77923i | 0.510632 | + | 0.370996i | 0.813063 | − | 0.582176i | \(-0.197798\pi\) |
−0.302431 | + | 0.953171i | \(0.597798\pi\) | |||||||
\(24\) | −1.33826 | −0.273171 | ||||||||
\(25\) | −2.50000 | − | 4.33013i | −0.500000 | − | 0.866025i | ||||
\(26\) | −4.44512 | −0.871761 | ||||||||
\(27\) | −4.55705 | − | 3.31089i | −0.877004 | − | 0.637181i | ||||
\(28\) | 0.309017 | + | 0.951057i | 0.0583987 | + | 0.179733i | ||||
\(29\) | −2.64728 | − | 8.14748i | −0.491587 | − | 1.51295i | −0.822209 | − | 0.569186i | \(-0.807258\pi\) |
0.330621 | − | 0.943764i | \(-0.392742\pi\) | |||||||
\(30\) | −2.00234 | − | 2.22382i | −0.365575 | − | 0.406012i | ||||
\(31\) | −2.36702 | + | 7.28493i | −0.425129 | + | 1.30841i | 0.477742 | + | 0.878500i | \(0.341455\pi\) |
−0.902871 | + | 0.429912i | \(0.858545\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −1.70449 | + | 5.24588i | −0.296713 | + | 0.913190i | ||||
\(34\) | −5.40520 | + | 3.92711i | −0.926984 | + | 0.673493i | ||||
\(35\) | −1.11803 | + | 1.93649i | −0.188982 | + | 0.327327i | ||||
\(36\) | 0.978148 | + | 0.710666i | 0.163025 | + | 0.118444i | ||||
\(37\) | 8.85772 | − | 6.43551i | 1.45620 | − | 1.05799i | 0.471867 | − | 0.881670i | \(-0.343580\pi\) |
0.984333 | − | 0.176321i | \(-0.0564196\pi\) | |||||||
\(38\) | 0.761699 | − | 0.553407i | 0.123564 | − | 0.0897744i | ||||
\(39\) | −4.81263 | − | 3.49658i | −0.770638 | − | 0.559901i | ||||
\(40\) | 1.49622 | + | 1.66172i | 0.236573 | + | 0.262741i | ||||
\(41\) | −4.23735 | + | 3.07861i | −0.661762 | + | 0.480798i | −0.867258 | − | 0.497860i | \(-0.834119\pi\) |
0.205495 | + | 0.978658i | \(0.434119\pi\) | |||||||
\(42\) | −0.413545 | + | 1.27276i | −0.0638114 | + | 0.196391i | ||||
\(43\) | 1.11600 | 0.170188 | 0.0850942 | − | 0.996373i | \(-0.472881\pi\) | ||||
0.0850942 | + | 0.996373i | \(0.472881\pi\) | |||||||
\(44\) | 1.27366 | − | 3.91992i | 0.192011 | − | 0.590950i | ||||
\(45\) | 0.282596 | + | 2.68872i | 0.0421270 | + | 0.400811i | ||||
\(46\) | −0.935398 | − | 2.87886i | −0.137917 | − | 0.424465i | ||||
\(47\) | 0.997966 | + | 3.07143i | 0.145568 | + | 0.448013i | 0.997084 | − | 0.0763164i | \(-0.0243159\pi\) |
−0.851515 | + | 0.524330i | \(0.824316\pi\) | |||||||
\(48\) | 1.08268 | + | 0.786610i | 0.156271 | + | 0.113537i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −0.522642 | + | 4.97261i | −0.0739128 | + | 0.703233i | ||||
\(51\) | −8.94118 | −1.25202 | ||||||||
\(52\) | 3.59618 | + | 2.61278i | 0.498701 | + | 0.362327i | ||||
\(53\) | −1.59161 | − | 4.89848i | −0.218625 | − | 0.672858i | −0.998876 | − | 0.0473923i | \(-0.984909\pi\) |
0.780251 | − | 0.625466i | \(-0.215091\pi\) | |||||||
\(54\) | 1.74064 | + | 5.35713i | 0.236871 | + | 0.729013i | ||||
\(55\) | 8.41949 | − | 3.74860i | 1.13528 | − | 0.505461i | ||||
\(56\) | 0.309017 | − | 0.951057i | 0.0412941 | − | 0.127090i | ||||
\(57\) | 1.25999 | 0.166890 | ||||||||
\(58\) | −2.64728 | + | 8.14748i | −0.347605 | + | 1.06982i | ||||
\(59\) | 7.03519 | − | 5.11137i | 0.915904 | − | 0.665443i | −0.0265970 | − | 0.999646i | \(-0.508467\pi\) |
0.942501 | + | 0.334203i | \(0.108467\pi\) | |||||||
\(60\) | 0.312795 | + | 2.97605i | 0.0403817 | + | 0.384206i | ||||
\(61\) | 5.77504 | + | 4.19581i | 0.739418 | + | 0.537219i | 0.892529 | − | 0.450990i | \(-0.148929\pi\) |
−0.153111 | + | 0.988209i | \(0.548929\pi\) | |||||||
\(62\) | 6.19693 | − | 4.50233i | 0.787011 | − | 0.571797i | ||||
\(63\) | 0.978148 | − | 0.710666i | 0.123235 | − | 0.0895355i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 1.03897 | + | 9.88515i | 0.128869 | + | 1.22610i | ||||
\(66\) | 4.46241 | − | 3.24213i | 0.549285 | − | 0.399079i | ||||
\(67\) | 2.10910 | − | 6.49113i | 0.257667 | − | 0.793018i | −0.735625 | − | 0.677389i | \(-0.763112\pi\) |
0.993292 | − | 0.115629i | \(-0.0368885\pi\) | |||||||
\(68\) | 6.68119 | 0.810214 | ||||||||
\(69\) | 1.25181 | − | 3.85266i | 0.150700 | − | 0.463806i | ||||
\(70\) | 2.04275 | − | 0.909491i | 0.244155 | − | 0.108705i | ||||
\(71\) | 3.73781 | + | 11.5038i | 0.443597 | + | 1.36525i | 0.884015 | + | 0.467458i | \(0.154830\pi\) |
−0.440419 | + | 0.897793i | \(0.645170\pi\) | |||||||
\(72\) | −0.373619 | − | 1.14988i | −0.0440314 | − | 0.135515i | ||||
\(73\) | −4.76765 | − | 3.46390i | −0.558011 | − | 0.405419i | 0.272719 | − | 0.962094i | \(-0.412077\pi\) |
−0.830730 | + | 0.556675i | \(0.812077\pi\) | |||||||
\(74\) | −10.9487 | −1.27276 | ||||||||
\(75\) | −4.47736 | + | 4.97261i | −0.517001 | + | 0.574187i | ||||
\(76\) | −0.941512 | −0.107999 | ||||||||
\(77\) | −3.33448 | − | 2.42264i | −0.380000 | − | 0.276086i | ||||
\(78\) | 1.83826 | + | 5.65759i | 0.208142 | + | 0.640596i | ||||
\(79\) | −1.96038 | − | 6.03342i | −0.220559 | − | 0.678812i | −0.998712 | − | 0.0507370i | \(-0.983843\pi\) |
0.778153 | − | 0.628075i | \(-0.216157\pi\) | |||||||
\(80\) | −0.233733 | − | 2.22382i | −0.0261321 | − | 0.248630i | ||||
\(81\) | −1.20857 | + | 3.71959i | −0.134285 | + | 0.413288i | ||||
\(82\) | 5.23765 | 0.578401 | ||||||||
\(83\) | −3.15611 | + | 9.71352i | −0.346428 | + | 1.06620i | 0.614386 | + | 0.789005i | \(0.289404\pi\) |
−0.960815 | + | 0.277192i | \(0.910596\pi\) | |||||||
\(84\) | 1.08268 | − | 0.786610i | 0.118130 | − | 0.0858262i | ||||
\(85\) | 9.99654 | + | 11.1023i | 1.08428 | + | 1.20421i | ||||
\(86\) | −0.902863 | − | 0.655969i | −0.0973583 | − | 0.0707349i | ||||
\(87\) | −9.27504 | + | 6.73871i | −0.994389 | + | 0.722466i | ||||
\(88\) | −3.33448 | + | 2.42264i | −0.355457 | + | 0.258255i | ||||
\(89\) | 9.43050 | + | 6.85166i | 0.999631 | + | 0.726274i | 0.962009 | − | 0.273018i | \(-0.0880218\pi\) |
0.0376219 | + | 0.999292i | \(0.488022\pi\) | |||||||
\(90\) | 1.35177 | − | 2.34133i | 0.142489 | − | 0.246798i | ||||
\(91\) | 3.59618 | − | 2.61278i | 0.376982 | − | 0.273894i | ||||
\(92\) | −0.935398 | + | 2.87886i | −0.0975220 | + | 0.300142i | ||||
\(93\) | 10.2509 | 1.06296 | ||||||||
\(94\) | 0.997966 | − | 3.07143i | 0.102932 | − | 0.316793i | ||||
\(95\) | −1.40871 | − | 1.56453i | −0.144531 | − | 0.160517i | ||||
\(96\) | −0.413545 | − | 1.27276i | −0.0422073 | − | 0.129901i | ||||
\(97\) | 5.62920 | + | 17.3249i | 0.571559 | + | 1.75908i | 0.647608 | + | 0.761974i | \(0.275770\pi\) |
−0.0760486 | + | 0.997104i | \(0.524230\pi\) | |||||||
\(98\) | −0.809017 | − | 0.587785i | −0.0817231 | − | 0.0593753i | ||||
\(99\) | −4.98331 | −0.500841 | ||||||||
\(100\) | 3.34565 | − | 3.71572i | 0.334565 | − | 0.371572i | ||||
\(101\) | −4.96097 | −0.493635 | −0.246817 | − | 0.969062i | \(-0.579385\pi\) | ||||
−0.246817 | + | 0.969062i | \(0.579385\pi\) | |||||||
\(102\) | 7.23357 | + | 5.25549i | 0.716230 | + | 0.520371i | ||||
\(103\) | 3.58755 | + | 11.0413i | 0.353491 | + | 1.08793i | 0.956879 | + | 0.290487i | \(0.0938172\pi\) |
−0.603388 | + | 0.797448i | \(0.706183\pi\) | |||||||
\(104\) | −1.37362 | − | 4.22757i | −0.134694 | − | 0.414547i | ||||
\(105\) | 2.92705 | + | 0.622164i | 0.285651 | + | 0.0607170i | ||||
\(106\) | −1.59161 | + | 4.89848i | −0.154591 | + | 0.475783i | ||||
\(107\) | −17.2417 | −1.66682 | −0.833410 | − | 0.552656i | \(-0.813615\pi\) | ||||
−0.833410 | + | 0.552656i | \(0.813615\pi\) | |||||||
\(108\) | 1.74064 | − | 5.35713i | 0.167493 | − | 0.515490i | ||||
\(109\) | 1.53818 | − | 1.11755i | 0.147331 | − | 0.107042i | −0.511678 | − | 0.859177i | \(-0.670976\pi\) |
0.659009 | + | 0.752135i | \(0.270976\pi\) | |||||||
\(110\) | −9.01489 | − | 1.91617i | −0.859536 | − | 0.182700i | ||||
\(111\) | −11.8539 | − | 8.61239i | −1.12513 | − | 0.817452i | ||||
\(112\) | −0.809017 | + | 0.587785i | −0.0764449 | + | 0.0555405i | ||||
\(113\) | −9.87139 | + | 7.17198i | −0.928622 | + | 0.674683i | −0.945655 | − | 0.325172i | \(-0.894578\pi\) |
0.0170331 | + | 0.999855i | \(0.494578\pi\) | |||||||
\(114\) | −1.01935 | − | 0.740603i | −0.0954711 | − | 0.0693638i | ||||
\(115\) | −6.18343 | + | 2.75304i | −0.576607 | + | 0.256722i | ||||
\(116\) | 6.93066 | − | 5.03542i | 0.643496 | − | 0.467527i | ||||
\(117\) | 1.66078 | − | 5.11137i | 0.153540 | − | 0.472546i | ||||
\(118\) | −8.69598 | −0.800530 | ||||||||
\(119\) | 2.06460 | − | 6.35419i | 0.189262 | − | 0.582488i | ||||
\(120\) | 1.49622 | − | 2.59153i | 0.136586 | − | 0.236573i | ||||
\(121\) | 1.85039 | + | 5.69490i | 0.168217 | + | 0.517719i | ||||
\(122\) | −2.20587 | − | 6.78897i | −0.199710 | − | 0.614644i | ||||
\(123\) | 5.67068 | + | 4.11999i | 0.511308 | + | 0.371487i | ||||
\(124\) | −7.65983 | −0.687873 | ||||||||
\(125\) | 11.1803 | 1.00000 | ||||||||
\(126\) | −1.20906 | −0.107711 | ||||||||
\(127\) | −5.38712 | − | 3.91398i | −0.478030 | − | 0.347309i | 0.322532 | − | 0.946558i | \(-0.395466\pi\) |
−0.800563 | + | 0.599249i | \(0.795466\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −0.461517 | − | 1.42040i | −0.0406343 | − | 0.125060i | ||||
\(130\) | 4.96980 | − | 8.60795i | 0.435880 | − | 0.754967i | ||||
\(131\) | 1.13893 | − | 3.50527i | 0.0995089 | − | 0.306257i | −0.888894 | − | 0.458114i | \(-0.848525\pi\) |
0.988403 | + | 0.151857i | \(0.0485253\pi\) | |||||||
\(132\) | −5.51584 | −0.480092 | ||||||||
\(133\) | −0.290943 | + | 0.895431i | −0.0252280 | + | 0.0776437i | ||||
\(134\) | −5.52169 | + | 4.01174i | −0.477001 | + | 0.346562i | ||||
\(135\) | 11.5064 | − | 5.12300i | 0.990316 | − | 0.440917i | ||||
\(136\) | −5.40520 | − | 3.92711i | −0.463492 | − | 0.336747i | ||||
\(137\) | 15.3456 | − | 11.1492i | 1.31106 | − | 0.952542i | 0.311065 | − | 0.950389i | \(-0.399314\pi\) |
0.999998 | − | 0.00215368i | \(-0.000685538\pi\) | |||||||
\(138\) | −3.27727 | + | 2.38108i | −0.278980 | + | 0.202691i | ||||
\(139\) | 1.04715 | + | 0.760801i | 0.0888184 | + | 0.0645303i | 0.631308 | − | 0.775532i | \(-0.282518\pi\) |
−0.542490 | + | 0.840062i | \(0.682518\pi\) | |||||||
\(140\) | −2.18720 | − | 0.464905i | −0.184853 | − | 0.0392916i | ||||
\(141\) | 3.49649 | − | 2.54035i | 0.294457 | − | 0.213936i | ||||
\(142\) | 3.73781 | − | 11.5038i | 0.313670 | − | 0.965378i | ||||
\(143\) | −18.3212 | −1.53210 | ||||||||
\(144\) | −0.373619 | + | 1.14988i | −0.0311349 | + | 0.0958235i | ||||
\(145\) | 18.7373 | + | 3.98273i | 1.55605 | + | 0.330748i | ||||
\(146\) | 1.82108 | + | 5.60471i | 0.150714 | + | 0.463849i | ||||
\(147\) | −0.413545 | − | 1.27276i | −0.0341087 | − | 0.104976i | ||||
\(148\) | 8.85772 | + | 6.43551i | 0.728100 | + | 0.528995i | ||||
\(149\) | −19.0811 | −1.56318 | −0.781592 | − | 0.623789i | \(-0.785592\pi\) | ||||
−0.781592 | + | 0.623789i | \(0.785592\pi\) | |||||||
\(150\) | 6.54508 | − | 1.39120i | 0.534404 | − | 0.113591i | ||||
\(151\) | 1.71207 | 0.139326 | 0.0696630 | − | 0.997571i | \(-0.477808\pi\) | ||||
0.0696630 | + | 0.997571i | \(0.477808\pi\) | |||||||
\(152\) | 0.761699 | + | 0.553407i | 0.0617819 | + | 0.0448872i | ||||
\(153\) | −2.49622 | − | 7.68258i | −0.201808 | − | 0.621100i | ||||
\(154\) | 1.27366 | + | 3.91992i | 0.102634 | + | 0.315876i | ||||
\(155\) | −11.4608 | − | 12.7285i | −0.920554 | − | 1.02238i | ||||
\(156\) | 1.83826 | − | 5.65759i | 0.147179 | − | 0.452969i | ||||
\(157\) | −3.20499 | −0.255786 | −0.127893 | − | 0.991788i | \(-0.540821\pi\) | ||||
−0.127893 | + | 0.991788i | \(0.540821\pi\) | |||||||
\(158\) | −1.96038 | + | 6.03342i | −0.155959 | + | 0.479993i | ||||
\(159\) | −5.57640 | + | 4.05149i | −0.442237 | + | 0.321304i | ||||
\(160\) | −1.11803 | + | 1.93649i | −0.0883883 | + | 0.153093i | ||||
\(161\) | 2.44890 | + | 1.77923i | 0.193001 | + | 0.140223i | ||||
\(162\) | 3.16407 | − | 2.29883i | 0.248593 | − | 0.180613i | ||||
\(163\) | 7.71198 | − | 5.60308i | 0.604049 | − | 0.438867i | −0.243265 | − | 0.969960i | \(-0.578218\pi\) |
0.847314 | + | 0.531093i | \(0.178218\pi\) | |||||||
\(164\) | −4.23735 | − | 3.07861i | −0.330881 | − | 0.240399i | ||||
\(165\) | −8.25292 | − | 9.16580i | −0.642489 | − | 0.713556i | ||||
\(166\) | 8.26281 | − | 6.00328i | 0.641319 | − | 0.465945i | ||||
\(167\) | 3.64543 | − | 11.2195i | 0.282092 | − | 0.868190i | −0.705163 | − | 0.709045i | \(-0.749126\pi\) |
0.987255 | − | 0.159145i | \(-0.0508737\pi\) | |||||||
\(168\) | −1.33826 | −0.103249 | ||||||||
\(169\) | 2.08869 | − | 6.42832i | 0.160668 | − | 0.494486i | ||||
\(170\) | −1.56161 | − | 14.8578i | −0.119770 | − | 1.13954i | ||||
\(171\) | 0.351767 | + | 1.08263i | 0.0269003 | + | 0.0827905i | ||||
\(172\) | 0.344863 | + | 1.06138i | 0.0262956 | + | 0.0809294i | ||||
\(173\) | 5.55753 | + | 4.03778i | 0.422531 | + | 0.306987i | 0.778656 | − | 0.627452i | \(-0.215902\pi\) |
−0.356124 | + | 0.934439i | \(0.615902\pi\) | |||||||
\(174\) | 11.4646 | 0.869127 | ||||||||
\(175\) | −2.50000 | − | 4.33013i | −0.188982 | − | 0.327327i | ||||
\(176\) | 4.12165 | 0.310681 | ||||||||
\(177\) | −9.41493 | − | 6.84034i | −0.707669 | − | 0.514152i | ||||
\(178\) | −3.60213 | − | 11.0862i | −0.269991 | − | 0.830947i | ||||
\(179\) | 4.33040 | + | 13.3276i | 0.323669 | + | 0.996152i | 0.972038 | + | 0.234825i | \(0.0754518\pi\) |
−0.648368 | + | 0.761327i | \(0.724548\pi\) | |||||||
\(180\) | −2.46980 | + | 1.09963i | −0.184088 | + | 0.0819613i | ||||
\(181\) | −5.84714 | + | 17.9956i | −0.434614 | + | 1.33760i | 0.458867 | + | 0.888505i | \(0.348255\pi\) |
−0.893481 | + | 0.449100i | \(0.851745\pi\) | |||||||
\(182\) | −4.44512 | −0.329495 | ||||||||
\(183\) | 2.95203 | − | 9.08541i | 0.218220 | − | 0.671613i | ||||
\(184\) | 2.44890 | − | 1.77923i | 0.180536 | − | 0.131167i | ||||
\(185\) | 2.55908 | + | 24.3480i | 0.188147 | + | 1.79010i | ||||
\(186\) | −8.29311 | − | 6.02530i | −0.608081 | − | 0.441796i | ||||
\(187\) | −22.2783 | + | 16.1861i | −1.62915 | + | 1.18365i | ||||
\(188\) | −2.61271 | + | 1.89825i | −0.190551 | + | 0.138444i | ||||
\(189\) | −4.55705 | − | 3.31089i | −0.331476 | − | 0.240832i | ||||
\(190\) | 0.220062 | + | 2.09375i | 0.0159650 | + | 0.151897i | ||||
\(191\) | 4.30757 | − | 3.12964i | 0.311685 | − | 0.226452i | −0.420934 | − | 0.907091i | \(-0.638298\pi\) |
0.732619 | + | 0.680639i | \(0.238298\pi\) | |||||||
\(192\) | −0.413545 | + | 1.27276i | −0.0298451 | + | 0.0918537i | ||||
\(193\) | −3.02977 | −0.218088 | −0.109044 | − | 0.994037i | \(-0.534779\pi\) | ||||
−0.109044 | + | 0.994037i | \(0.534779\pi\) | |||||||
\(194\) | 5.62920 | − | 17.3249i | 0.404153 | − | 1.24386i | ||||
\(195\) | 12.1518 | − | 5.41032i | 0.870207 | − | 0.387441i | ||||
\(196\) | 0.309017 | + | 0.951057i | 0.0220726 | + | 0.0679326i | ||||
\(197\) | −1.74977 | − | 5.38525i | −0.124666 | − | 0.383683i | 0.869174 | − | 0.494506i | \(-0.164651\pi\) |
−0.993840 | + | 0.110823i | \(0.964651\pi\) | |||||||
\(198\) | 4.03158 | + | 2.92911i | 0.286512 | + | 0.208163i | ||||
\(199\) | 8.09273 | 0.573678 | 0.286839 | − | 0.957979i | \(-0.407395\pi\) | ||||
0.286839 | + | 0.957979i | \(0.407395\pi\) | |||||||
\(200\) | −4.89074 | + | 1.03956i | −0.345827 | + | 0.0735079i | ||||
\(201\) | −9.13387 | −0.644254 | ||||||||
\(202\) | 4.01351 | + | 2.91598i | 0.282389 | + | 0.205168i | ||||
\(203\) | −2.64728 | − | 8.14748i | −0.185803 | − | 0.571841i | ||||
\(204\) | −2.76298 | − | 8.50357i | −0.193447 | − | 0.595369i | ||||
\(205\) | −1.22421 | − | 11.6476i | −0.0855025 | − | 0.813502i | ||||
\(206\) | 3.58755 | − | 11.0413i | 0.249956 | − | 0.769286i | ||||
\(207\) | 3.65983 | 0.254376 | ||||||||
\(208\) | −1.37362 | + | 4.22757i | −0.0952434 | + | 0.293129i | ||||
\(209\) | 3.13945 | − | 2.28095i | 0.217161 | − | 0.157776i | ||||
\(210\) | −2.00234 | − | 2.22382i | −0.138174 | − | 0.153458i | ||||
\(211\) | 2.64834 | + | 1.92413i | 0.182319 | + | 0.132462i | 0.675201 | − | 0.737633i | \(-0.264057\pi\) |
−0.492882 | + | 0.870096i | \(0.664057\pi\) | |||||||
\(212\) | 4.16690 | − | 3.02743i | 0.286184 | − | 0.207925i | ||||
\(213\) | 13.0959 | − | 9.51469i | 0.897313 | − | 0.651936i | ||||
\(214\) | 13.9488 | + | 10.1344i | 0.953523 | + | 0.692775i | ||||
\(215\) | −1.24773 | + | 2.16113i | −0.0850942 | + | 0.147388i | ||||
\(216\) | −4.55705 | + | 3.31089i | −0.310068 | + | 0.225277i | ||||
\(217\) | −2.36702 | + | 7.28493i | −0.160684 | + | 0.494533i | ||||
\(218\) | −1.90130 | −0.128772 | ||||||||
\(219\) | −2.43708 | + | 7.50056i | −0.164683 | + | 0.506841i | ||||
\(220\) | 6.16690 | + | 6.84903i | 0.415772 | + | 0.461762i | ||||
\(221\) | −9.17741 | − | 28.2452i | −0.617340 | − | 1.89998i | ||||
\(222\) | 4.52780 | + | 13.9351i | 0.303886 | + | 0.935265i | ||||
\(223\) | −22.2137 | − | 16.1392i | −1.48754 | − | 1.08076i | −0.975029 | − | 0.222078i | \(-0.928716\pi\) |
−0.512510 | − | 0.858681i | \(-0.671284\pi\) | |||||||
\(224\) | 1.00000 | 0.0668153 | ||||||||
\(225\) | −5.52264 | − | 2.45884i | −0.368176 | − | 0.163923i | ||||
\(226\) | 12.2017 | 0.811645 | ||||||||
\(227\) | 2.25947 | + | 1.64160i | 0.149966 | + | 0.108957i | 0.660238 | − | 0.751056i | \(-0.270455\pi\) |
−0.510272 | + | 0.860013i | \(0.670455\pi\) | |||||||
\(228\) | 0.389358 | + | 1.19832i | 0.0257859 | + | 0.0793607i | ||||
\(229\) | 2.52149 | + | 7.76034i | 0.166625 | + | 0.512818i | 0.999152 | − | 0.0411656i | \(-0.0131071\pi\) |
−0.832528 | + | 0.553983i | \(0.813107\pi\) | |||||||
\(230\) | 6.62069 | + | 1.40727i | 0.436556 | + | 0.0927927i | ||||
\(231\) | −1.70449 | + | 5.24588i | −0.112147 | + | 0.345153i | ||||
\(232\) | −8.56677 | −0.562436 | ||||||||
\(233\) | −6.74888 | + | 20.7709i | −0.442134 | + | 1.36075i | 0.443463 | + | 0.896293i | \(0.353750\pi\) |
−0.885597 | + | 0.464455i | \(0.846250\pi\) | |||||||
\(234\) | −4.34799 | + | 3.15900i | −0.284237 | + | 0.206510i | ||||
\(235\) | −7.06355 | − | 1.50140i | −0.460775 | − | 0.0979408i | ||||
\(236\) | 7.03519 | + | 5.11137i | 0.457952 | + | 0.332722i | ||||
\(237\) | −6.86840 | + | 4.99018i | −0.446150 | + | 0.324147i | ||||
\(238\) | −5.40520 | + | 3.92711i | −0.350367 | + | 0.254557i | ||||
\(239\) | 23.9526 | + | 17.4026i | 1.54937 | + | 1.12568i | 0.944101 | + | 0.329655i | \(0.106933\pi\) |
0.605264 | + | 0.796025i | \(0.293067\pi\) | |||||||
\(240\) | −2.73373 | + | 1.21714i | −0.176462 | + | 0.0785658i | ||||
\(241\) | −8.41466 | + | 6.11361i | −0.542036 | + | 0.393812i | −0.824841 | − | 0.565365i | \(-0.808735\pi\) |
0.282805 | + | 0.959178i | \(0.408735\pi\) | |||||||
\(242\) | 1.85039 | − | 5.69490i | 0.118947 | − | 0.366082i | ||||
\(243\) | −11.6645 | −0.748278 | ||||||||
\(244\) | −2.20587 | + | 6.78897i | −0.141216 | + | 0.434619i | ||||
\(245\) | −1.11803 | + | 1.93649i | −0.0714286 | + | 0.123718i | ||||
\(246\) | −2.16601 | − | 6.66628i | −0.138099 | − | 0.425026i | ||||
\(247\) | 1.29328 | + | 3.98030i | 0.0822893 | + | 0.253261i | ||||
\(248\) | 6.19693 | + | 4.50233i | 0.393506 | + | 0.285899i | ||||
\(249\) | 13.6682 | 0.866187 | ||||||||
\(250\) | −9.04508 | − | 6.57164i | −0.572061 | − | 0.415627i | ||||
\(251\) | −6.93900 | −0.437986 | −0.218993 | − | 0.975726i | \(-0.570277\pi\) | ||||
−0.218993 | + | 0.975726i | \(0.570277\pi\) | |||||||
\(252\) | 0.978148 | + | 0.710666i | 0.0616175 | + | 0.0447677i | ||||
\(253\) | −3.85538 | − | 11.8656i | −0.242386 | − | 0.745986i | ||||
\(254\) | 2.05770 | + | 6.33294i | 0.129111 | + | 0.397364i | ||||
\(255\) | 9.99654 | − | 17.3145i | 0.626008 | − | 1.08428i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 2.36316 | 0.147410 | 0.0737049 | − | 0.997280i | \(-0.476518\pi\) | ||||
0.0737049 | + | 0.997280i | \(0.476518\pi\) | |||||||
\(258\) | −0.461517 | + | 1.42040i | −0.0287328 | + | 0.0884304i | ||||
\(259\) | 8.85772 | − | 6.43551i | 0.550392 | − | 0.399883i | ||||
\(260\) | −9.08028 | + | 4.04280i | −0.563135 | + | 0.250724i | ||||
\(261\) | −8.37957 | − | 6.08811i | −0.518682 | − | 0.376845i | ||||
\(262\) | −2.98176 | + | 2.16638i | −0.184214 | + | 0.133839i | ||||
\(263\) | 9.37845 | − | 6.81385i | 0.578300 | − | 0.420160i | −0.259811 | − | 0.965660i | \(-0.583660\pi\) |
0.838111 | + | 0.545500i | \(0.183660\pi\) | |||||||
\(264\) | 4.46241 | + | 3.24213i | 0.274642 | + | 0.199539i | ||||
\(265\) | 11.2653 | + | 2.39452i | 0.692025 | + | 0.147094i | ||||
\(266\) | 0.761699 | − | 0.553407i | 0.0467028 | − | 0.0339315i | ||||
\(267\) | 4.82059 | − | 14.8363i | 0.295015 | − | 0.907964i | ||||
\(268\) | 6.82518 | 0.416914 | ||||||||
\(269\) | −3.42008 | + | 10.5259i | −0.208526 | + | 0.641778i | 0.791024 | + | 0.611785i | \(0.209548\pi\) |
−0.999550 | + | 0.0299925i | \(0.990452\pi\) | |||||||
\(270\) | −12.3201 | − | 2.61872i | −0.749779 | − | 0.159370i | ||||
\(271\) | −7.93300 | − | 24.4153i | −0.481895 | − | 1.48312i | −0.836427 | − | 0.548078i | \(-0.815360\pi\) |
0.354532 | − | 0.935044i | \(-0.384640\pi\) | |||||||
\(272\) | 2.06460 | + | 6.35419i | 0.125185 | + | 0.385279i | ||||
\(273\) | −4.81263 | − | 3.49658i | −0.291274 | − | 0.211623i | ||||
\(274\) | −18.9682 | −1.14591 | ||||||||
\(275\) | −2.15415 | + | 20.4953i | −0.129900 | + | 1.23592i | ||||
\(276\) | 4.05093 | 0.243837 | ||||||||
\(277\) | 17.5562 | + | 12.7553i | 1.05485 | + | 0.766394i | 0.973129 | − | 0.230261i | \(-0.0739579\pi\) |
0.0817225 | + | 0.996655i | \(0.473958\pi\) | |||||||
\(278\) | −0.399977 | − | 1.23100i | −0.0239890 | − | 0.0738306i | ||||
\(279\) | 2.86186 | + | 8.80790i | 0.171335 | + | 0.527315i | ||||
\(280\) | 1.49622 | + | 1.66172i | 0.0894163 | + | 0.0993069i | ||||
\(281\) | −3.40384 | + | 10.4759i | −0.203056 | + | 0.624942i | 0.796732 | + | 0.604333i | \(0.206560\pi\) |
−0.999788 | + | 0.0206089i | \(0.993440\pi\) | |||||||
\(282\) | −4.32190 | −0.257365 | ||||||||
\(283\) | 3.75312 | − | 11.5509i | 0.223100 | − | 0.686631i | −0.775379 | − | 0.631496i | \(-0.782441\pi\) |
0.998479 | − | 0.0551350i | \(-0.0175589\pi\) | |||||||
\(284\) | −9.78572 | + | 7.10974i | −0.580676 | + | 0.421886i | ||||
\(285\) | −1.40871 | + | 2.43996i | −0.0834448 | + | 0.144531i | ||||
\(286\) | 14.8222 | + | 10.7690i | 0.876455 | + | 0.636782i | ||||
\(287\) | −4.23735 | + | 3.07861i | −0.250123 | + | 0.181725i | ||||
\(288\) | 0.978148 | − | 0.710666i | 0.0576379 | − | 0.0418764i | ||||
\(289\) | −22.3599 | − | 16.2454i | −1.31529 | − | 0.955612i | ||||
\(290\) | −12.8178 | − | 14.2356i | −0.752686 | − | 0.835943i | ||||
\(291\) | 19.7226 | − | 14.3293i | 1.15616 | − | 0.839997i | ||||
\(292\) | 1.82108 | − | 5.60471i | 0.106571 | − | 0.327991i | ||||
\(293\) | 11.9284 | 0.696862 | 0.348431 | − | 0.937334i | \(-0.386715\pi\) | ||||
0.348431 | + | 0.937334i | \(0.386715\pi\) | |||||||
\(294\) | −0.413545 | + | 1.27276i | −0.0241185 | + | 0.0742290i | ||||
\(295\) | 2.03253 | + | 19.3383i | 0.118339 | + | 1.12592i | ||||
\(296\) | −3.38335 | − | 10.4129i | −0.196653 | − | 0.605236i | ||||
\(297\) | 7.17429 | + | 22.0802i | 0.416294 | + | 1.28122i | ||||
\(298\) | 15.4369 | + | 11.2156i | 0.894238 | + | 0.649702i | ||||
\(299\) | 13.4554 | 0.778148 | ||||||||
\(300\) | −6.11281 | − | 2.72160i | −0.352923 | − | 0.157132i | ||||
\(301\) | 1.11600 | 0.0643252 | ||||||||
\(302\) | −1.38509 | − | 1.00633i | −0.0797030 | − | 0.0579076i | ||||
\(303\) | 2.05158 | + | 6.31413i | 0.117860 | + | 0.362737i | ||||
\(304\) | −0.290943 | − | 0.895431i | −0.0166867 | − | 0.0513565i | ||||
\(305\) | −14.5818 | + | 6.49226i | −0.834954 | + | 0.371745i | ||||
\(306\) | −2.49622 | + | 7.68258i | −0.142699 | + | 0.439184i | ||||
\(307\) | −7.47469 | −0.426603 | −0.213302 | − | 0.976986i | \(-0.568422\pi\) | ||||
−0.213302 | + | 0.976986i | \(0.568422\pi\) | |||||||
\(308\) | 1.27366 | − | 3.91992i | 0.0725735 | − | 0.223358i | ||||
\(309\) | 12.5694 | − | 9.13219i | 0.715047 | − | 0.519512i | ||||
\(310\) | 1.79035 | + | 17.0341i | 0.101685 | + | 0.967470i | ||||
\(311\) | 18.9168 | + | 13.7439i | 1.07267 | + | 0.779344i | 0.976391 | − | 0.216010i | \(-0.0693044\pi\) |
0.0962838 | + | 0.995354i | \(0.469304\pi\) | |||||||
\(312\) | −4.81263 | + | 3.49658i | −0.272462 | + | 0.197955i | ||||
\(313\) | 10.9094 | − | 7.92617i | 0.616638 | − | 0.448014i | −0.235108 | − | 0.971969i | \(-0.575544\pi\) |
0.851745 | + | 0.523956i | \(0.175544\pi\) | |||||||
\(314\) | 2.59289 | + | 1.88385i | 0.146325 | + | 0.106312i | ||||
\(315\) | 0.282596 | + | 2.68872i | 0.0159225 | + | 0.151492i | ||||
\(316\) | 5.13233 | − | 3.72886i | 0.288716 | − | 0.209765i | ||||
\(317\) | 1.76657 | − | 5.43694i | 0.0992204 | − | 0.305369i | −0.889110 | − | 0.457693i | \(-0.848676\pi\) |
0.988331 | + | 0.152324i | \(0.0486758\pi\) | |||||||
\(318\) | 6.89281 | 0.386529 | ||||||||
\(319\) | −10.9111 | + | 33.5811i | −0.610907 | + | 1.88018i | ||||
\(320\) | 2.04275 | − | 0.909491i | 0.114193 | − | 0.0508421i | ||||
\(321\) | 7.13023 | + | 21.9446i | 0.397971 | + | 1.22483i | ||||
\(322\) | −0.935398 | − | 2.87886i | −0.0521277 | − | 0.160433i | ||||
\(323\) | 5.08906 | + | 3.69742i | 0.283163 | + | 0.205730i | ||||
\(324\) | −3.91101 | −0.217278 | ||||||||
\(325\) | −20.3041 | − | 9.03998i | −1.12627 | − | 0.501448i | ||||
\(326\) | −9.53253 | −0.527958 | ||||||||
\(327\) | −2.05849 | − | 1.49558i | −0.113835 | − | 0.0827057i | ||||
\(328\) | 1.61852 | + | 4.98130i | 0.0893679 | + | 0.275046i | ||||
\(329\) | 0.997966 | + | 3.07143i | 0.0550197 | + | 0.169333i | ||||
\(330\) | 1.28923 | + | 12.2662i | 0.0709699 | + | 0.675234i | ||||
\(331\) | −4.96590 | + | 15.2835i | −0.272950 | + | 0.840055i | 0.716804 | + | 0.697275i | \(0.245604\pi\) |
−0.989754 | + | 0.142780i | \(0.954396\pi\) | |||||||
\(332\) | −10.2134 | −0.560533 | ||||||||
\(333\) | 4.09066 | − | 12.5898i | 0.224167 | − | 0.689914i | ||||
\(334\) | −9.54386 | + | 6.93402i | −0.522217 | + | 0.379413i | ||||
\(335\) | 10.2120 | + | 11.3416i | 0.557940 | + | 0.619655i | ||||
\(336\) | 1.08268 | + | 0.786610i | 0.0590648 | + | 0.0429131i | ||||
\(337\) | 15.8847 | − | 11.5409i | 0.865296 | − | 0.628674i | −0.0640244 | − | 0.997948i | \(-0.520394\pi\) |
0.929321 | + | 0.369274i | \(0.120394\pi\) | |||||||
\(338\) | −5.46826 | + | 3.97292i | −0.297434 | + | 0.216098i | ||||
\(339\) | 13.2105 | + | 9.59798i | 0.717495 | + | 0.521291i | ||||
\(340\) | −7.46980 | + | 12.9381i | −0.405107 | + | 0.701666i | ||||
\(341\) | 25.5416 | − | 18.5570i | 1.38315 | − | 1.00492i | ||||
\(342\) | 0.351767 | − | 1.08263i | 0.0190214 | − | 0.0585417i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 0.344863 | − | 1.06138i | 0.0185938 | − | 0.0572257i | ||||
\(345\) | 6.06109 | + | 6.73152i | 0.326318 | + | 0.362413i | ||||
\(346\) | −2.12279 | − | 6.53327i | −0.114122 | − | 0.351231i | ||||
\(347\) | 4.30942 | + | 13.2630i | 0.231342 | + | 0.711997i | 0.997586 | + | 0.0694470i | \(0.0221235\pi\) |
−0.766244 | + | 0.642550i | \(0.777877\pi\) | |||||||
\(348\) | −9.27504 | − | 6.73871i | −0.497194 | − | 0.361233i | ||||
\(349\) | 2.07827 | 0.111247 | 0.0556237 | − | 0.998452i | \(-0.482285\pi\) | ||||
0.0556237 | + | 0.998452i | \(0.482285\pi\) | |||||||
\(350\) | −0.522642 | + | 4.97261i | −0.0279364 | + | 0.265797i | ||||
\(351\) | −25.0386 | −1.33646 | ||||||||
\(352\) | −3.33448 | − | 2.42264i | −0.177729 | − | 0.129127i | ||||
\(353\) | −3.35325 | − | 10.3202i | −0.178475 | − | 0.549291i | 0.821300 | − | 0.570497i | \(-0.193249\pi\) |
−0.999775 | + | 0.0212061i | \(0.993249\pi\) | |||||||
\(354\) | 3.59618 | + | 11.0679i | 0.191135 | + | 0.588253i | ||||
\(355\) | −26.4560 | − | 5.62340i | −1.40414 | − | 0.298459i | ||||
\(356\) | −3.60213 | + | 11.0862i | −0.190913 | + | 0.587568i | ||||
\(357\) | −8.94118 | −0.473217 | ||||||||
\(358\) | 4.33040 | − | 13.3276i | 0.228869 | − | 0.704386i | ||||
\(359\) | 22.4957 | − | 16.3441i | 1.18728 | − | 0.862609i | 0.194305 | − | 0.980941i | \(-0.437755\pi\) |
0.992974 | + | 0.118332i | \(0.0377549\pi\) | |||||||
\(360\) | 2.64445 | + | 0.562096i | 0.139375 | + | 0.0296251i | ||||
\(361\) | 14.6542 | + | 10.6469i | 0.771272 | + | 0.560362i | ||||
\(362\) | 15.3080 | − | 11.1219i | 0.804571 | − | 0.584555i | ||||
\(363\) | 6.48304 | − | 4.71020i | 0.340271 | − | 0.247222i | ||||
\(364\) | 3.59618 | + | 2.61278i | 0.188491 | + | 0.136947i | ||||
\(365\) | 12.0382 | − | 5.35975i | 0.630108 | − | 0.280542i | ||||
\(366\) | −7.72851 | + | 5.61509i | −0.403976 | + | 0.293506i | ||||
\(367\) | −6.09865 | + | 18.7697i | −0.318347 | + | 0.979772i | 0.656008 | + | 0.754754i | \(0.272244\pi\) |
−0.974355 | + | 0.225017i | \(0.927756\pi\) | |||||||
\(368\) | −3.02701 | −0.157794 | ||||||||
\(369\) | −1.95689 | + | 6.02267i | −0.101871 | + | 0.313528i | ||||
\(370\) | 12.2411 | − | 21.2021i | 0.636382 | − | 1.10225i | ||||
\(371\) | −1.59161 | − | 4.89848i | −0.0826324 | − | 0.254316i | ||||
\(372\) | 3.16769 | + | 9.74914i | 0.164237 | + | 0.505469i | ||||
\(373\) | −5.52780 | − | 4.01618i | −0.286219 | − | 0.207950i | 0.435407 | − | 0.900234i | \(-0.356605\pi\) |
−0.721625 | + | 0.692284i | \(0.756605\pi\) | |||||||
\(374\) | 27.5375 | 1.42393 | ||||||||
\(375\) | −4.62358 | − | 14.2299i | −0.238761 | − | 0.734830i | ||||
\(376\) | 3.22949 | 0.166548 | ||||||||
\(377\) | −30.8077 | − | 22.3831i | −1.58668 | − | 1.15279i | ||||
\(378\) | 1.74064 | + | 5.35713i | 0.0895287 | + | 0.275541i | ||||
\(379\) | −1.17015 | − | 3.60134i | −0.0601064 | − | 0.184988i | 0.916495 | − | 0.400046i | \(-0.131006\pi\) |
−0.976601 | + | 0.215058i | \(0.931006\pi\) | |||||||
\(380\) | 1.05264 | − | 1.82323i | 0.0539994 | − | 0.0935297i | ||||
\(381\) | −2.75374 | + | 8.47513i | −0.141078 | + | 0.434194i | ||||
\(382\) | −5.32445 | −0.272423 | ||||||||
\(383\) | 4.62709 | − | 14.2407i | 0.236433 | − | 0.727667i | −0.760495 | − | 0.649344i | \(-0.775043\pi\) |
0.996928 | − | 0.0783231i | \(-0.0249566\pi\) | |||||||
\(384\) | 1.08268 | − | 0.786610i | 0.0552501 | − | 0.0401415i | ||||
\(385\) | 8.41949 | − | 3.74860i | 0.429097 | − | 0.191046i | ||||
\(386\) | 2.45114 | + | 1.78085i | 0.124760 | + | 0.0906431i | ||||
\(387\) | 1.09161 | − | 0.793103i | 0.0554898 | − | 0.0403157i | ||||
\(388\) | −14.7374 | + | 10.7074i | −0.748181 | + | 0.543585i | ||||
\(389\) | −21.7912 | − | 15.8322i | −1.10486 | − | 0.802726i | −0.123012 | − | 0.992405i | \(-0.539255\pi\) |
−0.981846 | + | 0.189679i | \(0.939255\pi\) | |||||||
\(390\) | −13.0111 | − | 2.76560i | −0.658843 | − | 0.140041i | ||||
\(391\) | 16.3616 | − | 11.8874i | 0.827441 | − | 0.601171i | ||||
\(392\) | 0.309017 | − | 0.951057i | 0.0156077 | − | 0.0480356i | ||||
\(393\) | −4.93237 | −0.248805 | ||||||||
\(394\) | −1.74977 | + | 5.38525i | −0.0881523 | + | 0.271305i | ||||
\(395\) | 13.8754 | + | 2.94931i | 0.698148 | + | 0.148396i | ||||
\(396\) | −1.53993 | − | 4.73941i | −0.0773842 | − | 0.238164i | ||||
\(397\) | 2.91456 | + | 8.97010i | 0.146278 | + | 0.450196i | 0.997173 | − | 0.0751388i | \(-0.0239400\pi\) |
−0.850895 | + | 0.525335i | \(0.823940\pi\) | |||||||
\(398\) | −6.54715 | − | 4.75679i | −0.328179 | − | 0.238436i | ||||
\(399\) | 1.25999 | 0.0630783 | ||||||||
\(400\) | 4.56773 | + | 2.03368i | 0.228386 | + | 0.101684i | ||||
\(401\) | 17.2398 | 0.860916 | 0.430458 | − | 0.902611i | \(-0.358352\pi\) | ||||
0.430458 | + | 0.902611i | \(0.358352\pi\) | |||||||
\(402\) | 7.38946 | + | 5.36876i | 0.368553 | + | 0.267769i | ||||
\(403\) | 10.5217 | + | 32.3824i | 0.524123 | + | 1.61308i | ||||
\(404\) | −1.53302 | − | 4.71816i | −0.0762707 | − | 0.234737i | ||||
\(405\) | −5.85174 | − | 6.49901i | −0.290775 | − | 0.322939i | ||||
\(406\) | −2.64728 | + | 8.14748i | −0.131382 | + | 0.404353i | ||||
\(407\) | −45.1268 | −2.23685 | ||||||||
\(408\) | −2.76298 | + | 8.50357i | −0.136788 | + | 0.420989i | ||||
\(409\) | 7.51253 | − | 5.45817i | 0.371471 | − | 0.269889i | −0.386350 | − | 0.922352i | \(-0.626264\pi\) |
0.757821 | + | 0.652463i | \(0.226264\pi\) | |||||||
\(410\) | −5.85587 | + | 10.1427i | −0.289201 | + | 0.500910i | ||||
\(411\) | −20.5364 | − | 14.9206i | −1.01299 | − | 0.735978i | ||||
\(412\) | −9.39232 | + | 6.82392i | −0.462726 | + | 0.336190i | ||||
\(413\) | 7.03519 | − | 5.11137i | 0.346179 | − | 0.251514i | ||||
\(414\) | −2.96086 | − | 2.15119i | −0.145519 | − | 0.105725i | ||||
\(415\) | −15.2815 | − | 16.9718i | −0.750140 | − | 0.833114i | ||||
\(416\) | 3.59618 | − | 2.61278i | 0.176317 | − | 0.128102i | ||||
\(417\) | 0.535274 | − | 1.64740i | 0.0262125 | − | 0.0806736i | ||||
\(418\) | −3.88058 | −0.189805 | ||||||||
\(419\) | 0.835624 | − | 2.57179i | 0.0408229 | − | 0.125640i | −0.928568 | − | 0.371162i | \(-0.878959\pi\) |
0.969391 | + | 0.245522i | \(0.0789594\pi\) | |||||||
\(420\) | 0.312795 | + | 2.97605i | 0.0152629 | + | 0.145216i | ||||
\(421\) | −0.649427 | − | 1.99873i | −0.0316511 | − | 0.0974122i | 0.933983 | − | 0.357318i | \(-0.116309\pi\) |
−0.965634 | + | 0.259905i | \(0.916309\pi\) | |||||||
\(422\) | −1.01157 | − | 3.11330i | −0.0492427 | − | 0.151553i | ||||
\(423\) | 3.15892 | + | 2.29509i | 0.153592 | + | 0.111591i | ||||
\(424\) | −5.15057 | −0.250134 | ||||||||
\(425\) | −32.6760 | + | 6.94549i | −1.58502 | + | 0.336906i | ||||
\(426\) | −16.1874 | −0.784280 | ||||||||
\(427\) | 5.77504 | + | 4.19581i | 0.279474 | + | 0.203050i | ||||
\(428\) | −5.32798 | − | 16.3978i | −0.257538 | − | 0.792620i | ||||
\(429\) | 7.57666 | + | 23.3186i | 0.365805 | + | 1.12583i | ||||
\(430\) | 2.27971 | − | 1.01499i | 0.109937 | − | 0.0489473i | ||||
\(431\) | −1.55583 | + | 4.78835i | −0.0749417 | + | 0.230647i | −0.981510 | − | 0.191413i | \(-0.938693\pi\) |
0.906568 | + | 0.422060i | \(0.138693\pi\) | |||||||
\(432\) | 5.63282 | 0.271009 | ||||||||
\(433\) | 11.1291 | − | 34.2518i | 0.534829 | − | 1.64604i | −0.209188 | − | 0.977875i | \(-0.567082\pi\) |
0.744018 | − | 0.668160i | \(-0.232918\pi\) | |||||||
\(434\) | 6.19693 | − | 4.50233i | 0.297462 | − | 0.216119i | ||||
\(435\) | −2.67965 | − | 25.4951i | −0.128479 | − | 1.22240i | ||||
\(436\) | 1.53818 | + | 1.11755i | 0.0736655 | + | 0.0535211i | ||||
\(437\) | −2.30567 | + | 1.67517i | −0.110295 | + | 0.0801341i | ||||
\(438\) | 6.38036 | − | 4.63560i | 0.304865 | − | 0.221498i | ||||
\(439\) | −18.0791 | − | 13.1352i | −0.862866 | − | 0.626909i | 0.0657970 | − | 0.997833i | \(-0.479041\pi\) |
−0.928663 | + | 0.370924i | \(0.879041\pi\) | |||||||
\(440\) | −0.963364 | − | 9.16580i | −0.0459266 | − | 0.436962i | ||||
\(441\) | 0.978148 | − | 0.710666i | 0.0465785 | − | 0.0338412i | ||||
\(442\) | −9.17741 | + | 28.2452i | −0.436525 | + | 1.34349i | ||||
\(443\) | 20.2049 | 0.959964 | 0.479982 | − | 0.877278i | \(-0.340643\pi\) | ||||
0.479982 | + | 0.877278i | \(0.340643\pi\) | |||||||
\(444\) | 4.52780 | − | 13.9351i | 0.214880 | − | 0.661332i | ||||
\(445\) | −23.8118 | + | 10.6017i | −1.12879 | + | 0.502569i | ||||
\(446\) | 8.48487 | + | 26.1138i | 0.401770 | + | 1.23652i | ||||
\(447\) | 7.89090 | + | 24.2857i | 0.373227 | + | 1.14867i | ||||
\(448\) | −0.809017 | − | 0.587785i | −0.0382225 | − | 0.0277702i | ||||
\(449\) | 18.2113 | 0.859444 | 0.429722 | − | 0.902961i | \(-0.358612\pi\) | ||||
0.429722 | + | 0.902961i | \(0.358612\pi\) | |||||||
\(450\) | 3.02264 | + | 5.23537i | 0.142489 | + | 0.246798i | ||||
\(451\) | 21.5877 | 1.01653 | ||||||||
\(452\) | −9.87139 | − | 7.17198i | −0.464311 | − | 0.337342i | ||||
\(453\) | −0.708017 | − | 2.17905i | −0.0332656 | − | 0.102381i | ||||
\(454\) | −0.863039 | − | 2.65616i | −0.0405044 | − | 0.124660i | ||||
\(455\) | 1.03897 | + | 9.88515i | 0.0487077 | + | 0.463423i | ||||
\(456\) | 0.389358 | − | 1.19832i | 0.0182334 | − | 0.0561165i | ||||
\(457\) | 9.17063 | 0.428984 | 0.214492 | − | 0.976726i | \(-0.431190\pi\) | ||||
0.214492 | + | 0.976726i | \(0.431190\pi\) | |||||||
\(458\) | 2.52149 | − | 7.76034i | 0.117821 | − | 0.362617i | ||||
\(459\) | −30.4465 | + | 22.1207i | −1.42112 | + | 1.03250i | ||||
\(460\) | −4.52908 | − | 5.03005i | −0.211169 | − | 0.234527i | ||||
\(461\) | 21.3662 | + | 15.5234i | 0.995121 | + | 0.722998i | 0.961037 | − | 0.276421i | \(-0.0891484\pi\) |
0.0340848 | + | 0.999419i | \(0.489148\pi\) | |||||||
\(462\) | 4.46241 | − | 3.24213i | 0.207610 | − | 0.150838i | ||||
\(463\) | −1.99563 | + | 1.44991i | −0.0927449 | + | 0.0673831i | −0.633191 | − | 0.773995i | \(-0.718255\pi\) |
0.540446 | + | 0.841378i | \(0.318255\pi\) | |||||||
\(464\) | 6.93066 | + | 5.03542i | 0.321748 | + | 0.233764i | ||||
\(465\) | −11.4608 | + | 19.8507i | −0.531482 | + | 0.920554i | ||||
\(466\) | 17.6688 | − | 12.8371i | 0.818491 | − | 0.594669i | ||||
\(467\) | 4.80152 | − | 14.7776i | 0.222188 | − | 0.683824i | −0.776377 | − | 0.630269i | \(-0.782945\pi\) |
0.998565 | − | 0.0535554i | \(-0.0170554\pi\) | |||||||
\(468\) | 5.37441 | 0.248432 | ||||||||
\(469\) | 2.10910 | − | 6.49113i | 0.0973890 | − | 0.299733i | ||||
\(470\) | 4.83203 | + | 5.36651i | 0.222885 | + | 0.247539i | ||||
\(471\) | 1.32541 | + | 4.07919i | 0.0610716 | + | 0.187959i | ||||
\(472\) | −2.68720 | − | 8.27037i | −0.123689 | − | 0.380674i | ||||
\(473\) | −3.72128 | − | 2.70367i | −0.171105 | − | 0.124315i | ||||
\(474\) | 8.48981 | 0.389950 | ||||||||
\(475\) | 4.60469 | − | 0.978756i | 0.211278 | − | 0.0449084i | ||||
\(476\) | 6.68119 | 0.306232 | ||||||||
\(477\) | −5.03802 | − | 3.66033i | −0.230675 | − | 0.167595i | ||||
\(478\) | −9.14908 | − | 28.1580i | −0.418469 | − | 1.28792i | ||||
\(479\) | −2.03595 | − | 6.26600i | −0.0930248 | − | 0.286301i | 0.893709 | − | 0.448647i | \(-0.148094\pi\) |
−0.986734 | + | 0.162346i | \(0.948094\pi\) | |||||||
\(480\) | 2.92705 | + | 0.622164i | 0.133601 | + | 0.0283978i | ||||
\(481\) | 15.0394 | − | 46.2865i | 0.685737 | − | 2.11048i | ||||
\(482\) | 10.4011 | 0.473757 | ||||||||
\(483\) | 1.25181 | − | 3.85266i | 0.0569592 | − | 0.175302i | ||||
\(484\) | −4.84437 | + | 3.51964i | −0.220199 | + | 0.159984i | ||||
\(485\) | −39.8432 | − | 8.46893i | −1.80919 | − | 0.384554i | ||||
\(486\) | 9.43678 | + | 6.85622i | 0.428061 | + | 0.311004i | ||||
\(487\) | 20.9625 | − | 15.2302i | 0.949902 | − | 0.690144i | −0.000881906 | − | 1.00000i | \(-0.500281\pi\) |
0.950784 | + | 0.309856i | \(0.100281\pi\) | |||||||
\(488\) | 5.77504 | − | 4.19581i | 0.261424 | − | 0.189935i | ||||
\(489\) | −10.3206 | − | 7.49839i | −0.466716 | − | 0.339089i | ||||
\(490\) | 2.04275 | − | 0.909491i | 0.0922820 | − | 0.0410866i | ||||
\(491\) | 19.2107 | − | 13.9574i | 0.866967 | − | 0.629888i | −0.0628047 | − | 0.998026i | \(-0.520005\pi\) |
0.929771 | + | 0.368138i | \(0.120005\pi\) | |||||||
\(492\) | −2.16601 | + | 6.66628i | −0.0976511 | + | 0.300539i | ||||
\(493\) | −57.2363 | −2.57779 | ||||||||
\(494\) | 1.29328 | − | 3.98030i | 0.0581873 | − | 0.179082i | ||||
\(495\) | 5.57151 | − | 9.65013i | 0.250421 | − | 0.433741i | ||||
\(496\) | −2.36702 | − | 7.28493i | −0.106282 | − | 0.327103i | ||||
\(497\) | 3.73781 | + | 11.5038i | 0.167664 | + | 0.516016i | ||||
\(498\) | −11.0578 | − | 8.03396i | −0.495512 | − | 0.360010i | ||||
\(499\) | −24.2119 | −1.08387 | −0.541936 | − | 0.840419i | \(-0.682309\pi\) | ||||
−0.541936 | + | 0.840419i | \(0.682309\pi\) | |||||||
\(500\) | 3.45492 | + | 10.6331i | 0.154508 | + | 0.475528i | ||||
\(501\) | −15.7873 | −0.705324 | ||||||||
\(502\) | 5.61377 | + | 4.07864i | 0.250555 | + | 0.182039i | ||||
\(503\) | −2.75987 | − | 8.49399i | −0.123056 | − | 0.378728i | 0.870486 | − | 0.492194i | \(-0.163805\pi\) |
−0.993542 | + | 0.113465i | \(0.963805\pi\) | |||||||
\(504\) | −0.373619 | − | 1.14988i | −0.0166423 | − | 0.0512198i | ||||
\(505\) | 5.54653 | − | 9.60687i | 0.246817 | − | 0.427500i | ||||
\(506\) | −3.85538 | + | 11.8656i | −0.171393 | + | 0.527492i | ||||
\(507\) | −9.04549 | −0.401724 | ||||||||
\(508\) | 2.05770 | − | 6.33294i | 0.0912956 | − | 0.280979i | ||||
\(509\) | −11.2071 | + | 8.14245i | −0.496747 | + | 0.360908i | −0.807773 | − | 0.589494i | \(-0.799327\pi\) |
0.311026 | + | 0.950401i | \(0.399327\pi\) | |||||||
\(510\) | −18.2646 | + | 8.13192i | −0.808770 | + | 0.360088i | ||||
\(511\) | −4.76765 | − | 3.46390i | −0.210908 | − | 0.153234i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 4.29051 | − | 3.11724i | 0.189431 | − | 0.137629i | ||||
\(514\) | −1.91184 | − | 1.38903i | −0.0843274 | − | 0.0612675i | ||||
\(515\) | −25.3924 | − | 5.39733i | −1.11892 | − | 0.237835i | ||||
\(516\) | 1.20827 | − | 0.877857i | 0.0531910 | − | 0.0386455i | ||||
\(517\) | 4.11327 | − | 12.6593i | 0.180901 | − | 0.556757i | ||||
\(518\) | −10.9487 | −0.481060 | ||||||||
\(519\) | 2.84085 | − | 8.74322i | 0.124699 | − | 0.383785i | ||||
\(520\) | 9.72240 | + | 2.06656i | 0.426355 | + | 0.0906246i | ||||
\(521\) | 11.9820 | + | 36.8768i | 0.524941 | + | 1.61560i | 0.764433 | + | 0.644704i | \(0.223019\pi\) |
−0.239492 | + | 0.970898i | \(0.576981\pi\) | |||||||
\(522\) | 3.20071 | + | 9.85077i | 0.140091 | + | 0.431157i | ||||
\(523\) | 8.79817 | + | 6.39224i | 0.384717 | + | 0.279513i | 0.763287 | − | 0.646059i | \(-0.223584\pi\) |
−0.378570 | + | 0.925573i | \(0.623584\pi\) | |||||||
\(524\) | 3.68566 | 0.161009 | ||||||||
\(525\) | −4.47736 | + | 4.97261i | −0.195408 | + | 0.217022i | ||||
\(526\) | −11.5924 | −0.505453 | ||||||||
\(527\) | 41.4029 | + | 30.0810i | 1.80354 | + | 1.31035i | ||||
\(528\) | −1.70449 | − | 5.24588i | −0.0741783 | − | 0.228297i | ||||
\(529\) | −4.27593 | − | 13.1600i | −0.185910 | − | 0.572172i | ||||
\(530\) | −7.70639 | − | 8.55881i | −0.334744 | − | 0.371771i | ||||
\(531\) | 3.24898 | − | 9.99934i | 0.140994 | − | 0.433934i | ||||
\(532\) | −0.941512 | −0.0408197 | ||||||||
\(533\) | −7.19453 | + | 22.1425i | −0.311630 | + | 0.959098i | ||||
\(534\) | −12.6205 | + | 9.16931i | −0.546141 | + | 0.396795i | ||||
\(535\) | 19.2768 | − | 33.3884i | 0.833410 | − | 1.44351i | ||||
\(536\) | −5.52169 | − | 4.01174i | −0.238501 | − | 0.173281i | ||||
\(537\) | 15.1721 | − | 11.0231i | 0.654723 | − | 0.475684i | ||||
\(538\) | 8.95390 | − | 6.50539i | 0.386030 | − | 0.280467i | ||||
\(539\) | −3.33448 | − | 2.42264i | −0.143626 | − | 0.104351i | ||||
\(540\) | 8.42794 | + | 9.36018i | 0.362681 | + | 0.402798i | ||||
\(541\) | 4.41976 | − | 3.21114i | 0.190020 | − | 0.138058i | −0.488708 | − | 0.872448i | \(-0.662532\pi\) |
0.678728 | + | 0.734390i | \(0.262532\pi\) | |||||||
\(542\) | −7.93300 | + | 24.4153i | −0.340752 | + | 1.04873i | ||||
\(543\) | 25.3222 | 1.08668 | ||||||||
\(544\) | 2.06460 | − | 6.35419i | 0.0885191 | − | 0.272434i | ||||
\(545\) | 0.444395 | + | 4.22814i | 0.0190358 | + | 0.181114i | ||||
\(546\) | 1.83826 | + | 5.65759i | 0.0786703 | + | 0.242122i | ||||
\(547\) | 6.40424 | + | 19.7102i | 0.273826 | + | 0.842749i | 0.989528 | + | 0.144343i | \(0.0461069\pi\) |
−0.715702 | + | 0.698406i | \(0.753893\pi\) | |||||||
\(548\) | 15.3456 | + | 11.1492i | 0.655531 | + | 0.476271i | ||||
\(549\) | 8.63066 | 0.368348 | ||||||||
\(550\) | 13.7896 | − | 15.3149i | 0.587991 | − | 0.653030i | ||||
\(551\) | 8.06572 | 0.343611 | ||||||||
\(552\) | −3.27727 | − | 2.38108i | −0.139490 | − | 0.101345i | ||||
\(553\) | −1.96038 | − | 6.03342i | −0.0833636 | − | 0.256567i | ||||
\(554\) | −6.70588 | − | 20.6386i | −0.284906 | − | 0.876849i | ||||
\(555\) | 29.9309 | − | 13.3261i | 1.27050 | − | 0.565662i | ||||
\(556\) | −0.399977 | + | 1.23100i | −0.0169628 | + | 0.0522061i | ||||
\(557\) | 7.81705 | 0.331219 | 0.165609 | − | 0.986191i | \(-0.447041\pi\) | ||||
0.165609 | + | 0.986191i | \(0.447041\pi\) | |||||||
\(558\) | 2.86186 | − | 8.80790i | 0.121152 | − | 0.372868i | ||||
\(559\) | 4.01334 | − | 2.91586i | 0.169746 | − | 0.123328i | ||||
\(560\) | −0.233733 | − | 2.22382i | −0.00987701 | − | 0.0939735i | ||||
\(561\) | 29.8142 | + | 21.6613i | 1.25876 | + | 0.914541i | ||||
\(562\) | 8.91137 | − | 6.47449i | 0.375903 | − | 0.273110i | ||||
\(563\) | −16.5790 | + | 12.0453i | −0.698722 | + | 0.507651i | −0.879516 | − | 0.475870i | \(-0.842133\pi\) |
0.180794 | + | 0.983521i | \(0.442133\pi\) | |||||||
\(564\) | 3.49649 | + | 2.54035i | 0.147229 | + | 0.106968i | ||||
\(565\) | −2.85194 | − | 27.1344i | −0.119982 | − | 1.14155i | ||||
\(566\) | −9.82581 | + | 7.13887i | −0.413009 | + | 0.300069i | ||||
\(567\) | −1.20857 | + | 3.71959i | −0.0507551 | + | 0.156208i | ||||
\(568\) | 12.0958 | 0.507529 | ||||||||
\(569\) | −6.75987 | + | 20.8048i | −0.283389 | + | 0.872181i | 0.703488 | + | 0.710707i | \(0.251625\pi\) |
−0.986877 | + | 0.161474i | \(0.948375\pi\) | |||||||
\(570\) | 2.57384 | − | 1.14595i | 0.107806 | − | 0.0479985i | ||||
\(571\) | −8.98789 | − | 27.6619i | −0.376131 | − | 1.15761i | −0.942712 | − | 0.333607i | \(-0.891734\pi\) |
0.566581 | − | 0.824006i | \(-0.308266\pi\) | |||||||
\(572\) | −5.66157 | − | 17.4245i | −0.236722 | − | 0.728556i | ||||
\(573\) | −5.76466 | − | 4.18827i | −0.240822 | − | 0.174967i | ||||
\(574\) | 5.23765 | 0.218615 | ||||||||
\(575\) | 1.58204 | − | 15.0521i | 0.0659758 | − | 0.627718i | ||||
\(576\) | −1.20906 | −0.0503774 | ||||||||
\(577\) | 9.12079 | + | 6.62664i | 0.379704 | + | 0.275871i | 0.761223 | − | 0.648490i | \(-0.224599\pi\) |
−0.381520 | + | 0.924361i | \(0.624599\pi\) | |||||||
\(578\) | 8.54072 | + | 26.2856i | 0.355247 | + | 1.09334i | ||||
\(579\) | 1.25295 | + | 3.85618i | 0.0520708 | + | 0.160257i | ||||
\(580\) | 2.00234 | + | 19.0509i | 0.0831424 | + | 0.791048i | ||||
\(581\) | −3.15611 | + | 9.71352i | −0.130938 | + | 0.402985i | ||||
\(582\) | −24.3784 | −1.01052 | ||||||||
\(583\) | −6.56007 | + | 20.1898i | −0.271690 | + | 0.836177i | ||||
\(584\) | −4.76765 | + | 3.46390i | −0.197287 | + | 0.143337i | ||||
\(585\) | 8.04131 | + | 8.93078i | 0.332467 | + | 0.369242i | ||||
\(586\) | −9.65024 | − | 7.01131i | −0.398648 | − | 0.289634i | ||||
\(587\) | −13.0811 | + | 9.50397i | −0.539914 | + | 0.392271i | −0.824053 | − | 0.566512i | \(-0.808292\pi\) |
0.284139 | + | 0.958783i | \(0.408292\pi\) | |||||||
\(588\) | 1.08268 | − | 0.786610i | 0.0446488 | − | 0.0324393i | ||||
\(589\) | −5.83448 | − | 4.23900i | −0.240406 | − | 0.174665i | ||||
\(590\) | 9.72240 | − | 16.8397i | 0.400265 | − | 0.693279i | ||||
\(591\) | −6.13053 | + | 4.45409i | −0.252176 | + | 0.183217i | ||||
\(592\) | −3.38335 | + | 10.4129i | −0.139055 | + | 0.427966i | ||||
\(593\) | 22.9056 | 0.940621 | 0.470310 | − | 0.882501i | \(-0.344142\pi\) | ||||
0.470310 | + | 0.882501i | \(0.344142\pi\) | |||||||
\(594\) | 7.17429 | − | 22.0802i | 0.294365 | − | 0.905961i | ||||
\(595\) | 9.99654 | + | 11.1023i | 0.409818 | + | 0.455149i | ||||
\(596\) | −5.89638 | − | 18.1472i | −0.241525 | − | 0.743339i | ||||
\(597\) | −3.34671 | − | 10.3001i | −0.136972 | − | 0.421556i | ||||
\(598\) | −10.8857 | − | 7.90891i | −0.445149 | − | 0.323419i | ||||
\(599\) | 47.1703 | 1.92733 | 0.963664 | − | 0.267117i | \(-0.0860711\pi\) | ||||
0.963664 | + | 0.267117i | \(0.0860711\pi\) | |||||||
\(600\) | 3.34565 | + | 5.79484i | 0.136586 | + | 0.236573i | ||||
\(601\) | −16.3476 | −0.666834 | −0.333417 | − | 0.942779i | \(-0.608202\pi\) | ||||
−0.333417 | + | 0.942779i | \(0.608202\pi\) | |||||||
\(602\) | −0.902863 | − | 0.655969i | −0.0367980 | − | 0.0267353i | ||||
\(603\) | −2.55002 | − | 7.84815i | −0.103845 | − | 0.319601i | ||||
\(604\) | 0.529058 | + | 1.62827i | 0.0215271 | + | 0.0662535i | ||||
\(605\) | −13.0969 | − | 2.78384i | −0.532466 | − | 0.113179i | ||||
\(606\) | 2.05158 | − | 6.31413i | 0.0833399 | − | 0.256494i | ||||
\(607\) | −28.3450 | −1.15049 | −0.575245 | − | 0.817981i | \(-0.695093\pi\) | ||||
−0.575245 | + | 0.817981i | \(0.695093\pi\) | |||||||
\(608\) | −0.290943 | + | 0.895431i | −0.0117993 | + | 0.0363145i | ||||
\(609\) | −9.27504 | + | 6.73871i | −0.375844 | + | 0.273066i | ||||
\(610\) | 15.6130 | + | 3.31865i | 0.632152 | + | 0.134368i | ||||
\(611\) | 11.6138 | + | 8.43794i | 0.469845 | + | 0.341362i | ||||
\(612\) | 6.53519 | − | 4.74810i | 0.264170 | − | 0.191930i | ||||
\(613\) | −7.02250 | + | 5.10214i | −0.283636 | + | 0.206074i | −0.720502 | − | 0.693453i | \(-0.756088\pi\) |
0.436866 | + | 0.899527i | \(0.356088\pi\) | |||||||
\(614\) | 6.04715 | + | 4.39351i | 0.244043 | + | 0.177308i | ||||
\(615\) | −14.3183 | + | 6.37493i | −0.577371 | + | 0.257062i | ||||
\(616\) | −3.33448 | + | 2.42264i | −0.134350 | + | 0.0976111i | ||||
\(617\) | −3.85428 | + | 11.8623i | −0.155167 | + | 0.477556i | −0.998178 | − | 0.0603409i | \(-0.980781\pi\) |
0.843010 | + | 0.537897i | \(0.180781\pi\) | |||||||
\(618\) | −15.5366 | −0.624974 | ||||||||
\(619\) | 6.84923 | − | 21.0798i | 0.275294 | − | 0.847267i | −0.713848 | − | 0.700301i | \(-0.753049\pi\) |
0.989141 | − | 0.146966i | \(-0.0469509\pi\) | |||||||
\(620\) | 8.56395 | − | 14.8332i | 0.343936 | − | 0.595715i | ||||
\(621\) | −5.26893 | − | 16.2161i | −0.211435 | − | 0.650729i | ||||
\(622\) | −7.22559 | − | 22.2381i | −0.289720 | − | 0.891665i | ||||
\(623\) | 9.43050 | + | 6.85166i | 0.377825 | + | 0.274506i | ||||
\(624\) | 5.94874 | 0.238140 | ||||||||
\(625\) | −12.5000 | + | 21.6506i | −0.500000 | + | 0.866025i | ||||
\(626\) | −13.4848 | −0.538961 | ||||||||
\(627\) | −4.20141 | − | 3.05250i | −0.167788 | − | 0.121905i | ||||
\(628\) | −0.990396 | − | 3.04813i | −0.0395211 | − | 0.121633i | ||||
\(629\) | −22.6048 | − | 69.5704i | −0.901312 | − | 2.77395i | ||||
\(630\) | 1.35177 | − | 2.34133i | 0.0538557 | − | 0.0932808i | ||||
\(631\) | −13.9137 | + | 42.8221i | −0.553897 | + | 1.70472i | 0.144940 | + | 0.989440i | \(0.453701\pi\) |
−0.698837 | + | 0.715281i | \(0.746299\pi\) | |||||||
\(632\) | −6.34391 | −0.252347 | ||||||||
\(633\) | 1.35375 | − | 4.16642i | 0.0538067 | − | 0.165600i | ||||
\(634\) | −4.62494 | + | 3.36021i | −0.183680 | + | 0.133451i | ||||
\(635\) | 13.6024 | − | 6.05616i | 0.539794 | − | 0.240332i | ||||
\(636\) | −5.57640 | − | 4.05149i | −0.221119 | − | 0.160652i | ||||
\(637\) | 3.59618 | − | 2.61278i | 0.142486 | − | 0.103522i | ||||
\(638\) | 28.5658 | − | 20.7542i | 1.13093 | − | 0.821668i | ||||
\(639\) | 11.8315 | + | 8.59608i | 0.468047 | + | 0.340056i | ||||
\(640\) | −2.18720 | − | 0.464905i | −0.0864569 | − | 0.0183770i | ||||
\(641\) | −10.4135 | + | 7.56588i | −0.411310 | + | 0.298834i | −0.774132 | − | 0.633024i | \(-0.781813\pi\) |
0.362822 | + | 0.931858i | \(0.381813\pi\) | |||||||
\(642\) | 7.13023 | − | 21.9446i | 0.281408 | − | 0.866084i | ||||
\(643\) | −0.757886 | −0.0298881 | −0.0149441 | − | 0.999888i | \(-0.504757\pi\) | ||||
−0.0149441 | + | 0.999888i | \(0.504757\pi\) | |||||||
\(644\) | −0.935398 | + | 2.87886i | −0.0368598 | + | 0.113443i | ||||
\(645\) | 3.26659 | + | 0.694335i | 0.128622 | + | 0.0273394i | ||||
\(646\) | −1.94385 | − | 5.98255i | −0.0764796 | − | 0.235380i | ||||
\(647\) | −4.24125 | − | 13.0532i | −0.166741 | − | 0.513175i | 0.832420 | − | 0.554146i | \(-0.186955\pi\) |
−0.999160 | + | 0.0409707i | \(0.986955\pi\) | |||||||
\(648\) | 3.16407 | + | 2.29883i | 0.124297 | + | 0.0903067i | ||||
\(649\) | −35.8417 | −1.40691 | ||||||||
\(650\) | 11.1128 | + | 19.2480i | 0.435880 | + | 0.754967i | ||||
\(651\) | 10.2509 | 0.401763 | ||||||||
\(652\) | 7.71198 | + | 5.60308i | 0.302025 | + | 0.219434i | ||||
\(653\) | 6.58205 | + | 20.2575i | 0.257575 | + | 0.792736i | 0.993311 | + | 0.115467i | \(0.0368365\pi\) |
−0.735736 | + | 0.677269i | \(0.763164\pi\) | |||||||
\(654\) | 0.786273 | + | 2.41990i | 0.0307457 | + | 0.0946255i | ||||
\(655\) | 5.51456 | + | 6.12454i | 0.215472 | + | 0.239306i | ||||
\(656\) | 1.61852 | − | 4.98130i | 0.0631927 | − | 0.194487i | ||||
\(657\) | −7.12514 | −0.277978 | ||||||||
\(658\) | 0.997966 | − | 3.07143i | 0.0389048 | − | 0.119737i | ||||
\(659\) | 16.1805 | − | 11.7558i | 0.630303 | − | 0.457942i | −0.226202 | − | 0.974080i | \(-0.572631\pi\) |
0.856505 | + | 0.516138i | \(0.172631\pi\) | |||||||
\(660\) | 6.16690 | − | 10.6814i | 0.240046 | − | 0.415772i | ||||
\(661\) | −22.7875 | − | 16.5561i | −0.886329 | − | 0.643956i | 0.0485889 | − | 0.998819i | \(-0.484528\pi\) |
−0.934918 | + | 0.354863i | \(0.884528\pi\) | |||||||
\(662\) | 13.0009 | − | 9.44570i | 0.505294 | − | 0.367118i | ||||
\(663\) | −32.1541 | + | 23.3613i | −1.24876 | + | 0.907279i | ||||
\(664\) | 8.26281 | + | 6.00328i | 0.320659 | + | 0.232973i | ||||
\(665\) | −1.40871 | − | 1.56453i | −0.0546274 | − | 0.0606699i | ||||
\(666\) | −10.7095 | + | 7.78089i | −0.414984 | + | 0.301504i | ||||
\(667\) | 8.01334 | − | 24.6625i | 0.310278 | − | 0.954937i | ||||
\(668\) | 11.7969 | 0.456434 | ||||||||
\(669\) | −11.3550 | + | 34.9470i | −0.439009 | + | 1.35113i | ||||
\(670\) | −1.59527 | − | 15.1780i | −0.0616306 | − | 0.586376i | ||||
\(671\) | −9.09181 | − | 27.9817i | −0.350986 | − | 1.08022i | ||||
\(672\) | −0.413545 | − | 1.27276i | −0.0159529 | − | 0.0490979i | ||||
\(673\) | −33.3135 | − | 24.2037i | −1.28414 | − | 0.932983i | −0.284471 | − | 0.958685i | \(-0.591818\pi\) |
−0.999670 | + | 0.0257022i | \(0.991818\pi\) | |||||||
\(674\) | −19.6346 | −0.756297 | ||||||||
\(675\) | −2.94395 | + | 28.0098i | −0.113313 | + | 1.07810i | ||||
\(676\) | 6.75914 | 0.259967 | ||||||||
\(677\) | 24.1724 | + | 17.5623i | 0.929021 | + | 0.674974i | 0.945753 | − | 0.324887i | \(-0.105326\pi\) |
−0.0167317 | + | 0.999860i | \(0.505326\pi\) | |||||||
\(678\) | −5.04596 | − | 15.5299i | −0.193789 | − | 0.596421i | ||||
\(679\) | 5.62920 | + | 17.3249i | 0.216029 | + | 0.664869i | ||||
\(680\) | 13.6480 | − | 6.07648i | 0.523377 | − | 0.233022i | ||||
\(681\) | 1.15497 | − | 3.55464i | 0.0442586 | − | 0.136214i | ||||
\(682\) | −31.5711 | −1.20892 | ||||||||
\(683\) | −15.8660 | + | 48.8306i | −0.607096 | + | 1.86845i | −0.125412 | + | 0.992105i | \(0.540025\pi\) |
−0.481684 | + | 0.876345i | \(0.659975\pi\) | |||||||
\(684\) | −0.920937 | + | 0.669100i | −0.0352129 | + | 0.0255837i | ||||
\(685\) | 4.43349 | + | 42.1818i | 0.169395 | + | 1.61168i | ||||
\(686\) | −0.809017 | − | 0.587785i | −0.0308884 | − | 0.0224417i | ||||
\(687\) | 8.83432 | − | 6.41851i | 0.337050 | − | 0.244881i | ||||
\(688\) | −0.902863 | + | 0.655969i | −0.0344213 | + | 0.0250086i | ||||
\(689\) | −18.5224 | − | 13.4573i | −0.705646 | − | 0.512682i | ||||
\(690\) | −0.946835 | − | 9.00854i | −0.0360454 | − | 0.342949i | ||||
\(691\) | −32.1016 | + | 23.3232i | −1.22120 | + | 0.887256i | −0.996199 | − | 0.0871013i | \(-0.972240\pi\) |
−0.225004 | + | 0.974358i | \(0.572240\pi\) | |||||||
\(692\) | −2.12279 | + | 6.53327i | −0.0806963 | + | 0.248358i | ||||
\(693\) | −4.98331 | −0.189300 | ||||||||
\(694\) | 4.30942 | − | 13.2630i | 0.163583 | − | 0.503458i | ||||
\(695\) | −2.64404 | + | 1.17720i | −0.100294 | + | 0.0446538i | ||||
\(696\) | 3.54275 | + | 10.9035i | 0.134288 | + | 0.413295i | ||||
\(697\) | 10.8137 | + | 33.2810i | 0.409597 | + | 1.26061i | ||||
\(698\) | −1.68136 | − | 1.22158i | −0.0636403 | − | 0.0462374i | ||||
\(699\) | 29.2274 | 1.10548 | ||||||||
\(700\) | 3.34565 | − | 3.71572i | 0.126454 | − | 0.140441i | ||||
\(701\) | 10.6224 | 0.401202 | 0.200601 | − | 0.979673i | \(-0.435711\pi\) | ||||
0.200601 | + | 0.979673i | \(0.435711\pi\) | |||||||
\(702\) | 20.2566 | + | 14.7173i | 0.764537 | + | 0.555469i | ||||
\(703\) | 3.18546 | + | 9.80384i | 0.120142 | + | 0.369759i | ||||
\(704\) | 1.27366 | + | 3.91992i | 0.0480028 | + | 0.147738i | ||||
\(705\) | 1.01017 | + | 9.61112i | 0.0380452 | + | 0.361976i | ||||
\(706\) | −3.35325 | + | 10.3202i | −0.126201 | + | 0.388407i | ||||
\(707\) | −4.96097 | −0.186576 | ||||||||
\(708\) | 3.59618 | − | 11.0679i | 0.135153 | − | 0.415957i | ||||
\(709\) | 3.09444 | − | 2.24824i | 0.116214 | − | 0.0844344i | −0.528160 | − | 0.849145i | \(-0.677118\pi\) |
0.644374 | + | 0.764710i | \(0.277118\pi\) | |||||||
\(710\) | 18.0980 | + | 20.0999i | 0.679207 | + | 0.754335i | ||||
\(711\) | −6.20528 | − | 4.50840i | −0.232716 | − | 0.169078i | ||||
\(712\) | 9.43050 | − | 6.85166i | 0.353423 | − | 0.256777i | ||||
\(713\) | −18.7582 | + | 13.6286i | −0.702499 | + | 0.510396i | ||||
\(714\) | 7.23357 | + | 5.25549i | 0.270709 | + | 0.196682i | ||||
\(715\) | 20.4838 | − | 35.4789i | 0.766049 | − | 1.32684i | ||||
\(716\) | −11.3371 | + | 8.23692i | −0.423689 | + | 0.307828i | ||||
\(717\) | 12.2439 | − | 37.6827i | 0.457255 | − | 1.40729i | ||||
\(718\) | −27.8062 | −1.03772 | ||||||||
\(719\) | −10.5002 | + | 32.3163i | −0.391591 | + | 1.20519i | 0.539994 | + | 0.841669i | \(0.318427\pi\) |
−0.931585 | + | 0.363524i | \(0.881573\pi\) | |||||||
\(720\) | −1.80902 | − | 2.00912i | −0.0674181 | − | 0.0748754i | ||||
\(721\) | 3.58755 | + | 11.0413i | 0.133607 | + | 0.411201i | ||||
\(722\) | −5.59740 | − | 17.2270i | −0.208314 | − | 0.641123i | ||||
\(723\) | 11.2610 | + | 8.18160i | 0.418802 | + | 0.304277i | ||||
\(724\) | −18.9217 | −0.703220 | ||||||||
\(725\) | −28.6614 | + | 31.8318i | −1.06446 | + | 1.18220i | ||||
\(726\) | −8.01348 | −0.297408 | ||||||||
\(727\) | −9.36052 | − | 6.80081i | −0.347162 | − | 0.252228i | 0.400515 | − | 0.916290i | \(-0.368831\pi\) |
−0.747678 | + | 0.664062i | \(0.768831\pi\) | |||||||
\(728\) | −1.37362 | − | 4.22757i | −0.0509097 | − | 0.156684i | ||||
\(729\) | 8.44951 | + | 26.0049i | 0.312945 | + | 0.963145i | ||||
\(730\) | −12.8895 | − | 2.73975i | −0.477062 | − | 0.101403i | ||||
\(731\) | 2.30410 | − | 7.09128i | 0.0852201 | − | 0.262281i | ||||
\(732\) | 9.55296 | 0.353088 | ||||||||
\(733\) | 11.8522 | − | 36.4773i | 0.437771 | − | 1.34732i | −0.452450 | − | 0.891790i | \(-0.649450\pi\) |
0.890221 | − | 0.455530i | \(-0.150550\pi\) | |||||||
\(734\) | 15.9665 | − | 11.6003i | 0.589334 | − | 0.428176i | ||||
\(735\) | 2.92705 | + | 0.622164i | 0.107966 | + | 0.0229489i | ||||
\(736\) | 2.44890 | + | 1.77923i | 0.0902678 | + | 0.0655834i | ||||
\(737\) | −22.7584 | + | 16.5350i | −0.838318 | + | 0.609074i | ||||
\(738\) | 5.12319 | − | 3.72222i | 0.188587 | − | 0.137017i | ||||
\(739\) | 7.47279 | + | 5.42930i | 0.274891 | + | 0.199720i | 0.716686 | − | 0.697396i | \(-0.245658\pi\) |
−0.441795 | + | 0.897116i | \(0.645658\pi\) | |||||||
\(740\) | −22.3655 | + | 9.95778i | −0.822173 | + | 0.366055i | ||||
\(741\) | 4.53115 | − | 3.29207i | 0.166456 | − | 0.120937i | ||||
\(742\) | −1.59161 | + | 4.89848i | −0.0584300 | + | 0.179829i | ||||
\(743\) | −21.7479 | −0.797854 | −0.398927 | − | 0.916983i | \(-0.630617\pi\) | ||||
−0.398927 | + | 0.916983i | \(0.630617\pi\) | |||||||
\(744\) | 3.16769 | − | 9.74914i | 0.116133 | − | 0.357421i | ||||
\(745\) | 21.3333 | − | 36.9504i | 0.781592 | − | 1.35376i | ||||
\(746\) | 2.11143 | + | 6.49832i | 0.0773050 | + | 0.237920i | ||||
\(747\) | 3.81592 | + | 11.7442i | 0.139617 | + | 0.429698i | ||||
\(748\) | −22.2783 | − | 16.1861i | −0.814576 | − | 0.591824i | ||||
\(749\) | −17.2417 | −0.629999 | ||||||||
\(750\) | −4.62358 | + | 14.2299i | −0.168829 | + | 0.519603i | ||||
\(751\) | −38.8681 | −1.41832 | −0.709159 | − | 0.705049i | \(-0.750925\pi\) | ||||
−0.709159 | + | 0.705049i | \(0.750925\pi\) | |||||||
\(752\) | −2.61271 | − | 1.89825i | −0.0952757 | − | 0.0692219i | ||||
\(753\) | 2.86959 | + | 8.83169i | 0.104574 | + | 0.321845i | ||||
\(754\) | 11.7675 | + | 36.2166i | 0.428546 | + | 1.31893i | ||||
\(755\) | −1.91415 | + | 3.31540i | −0.0696630 | + | 0.120660i | ||||
\(756\) | 1.74064 | − | 5.35713i | 0.0633063 | − | 0.194837i | ||||
\(757\) | 28.7252 | 1.04404 | 0.522018 | − | 0.852935i | \(-0.325179\pi\) | ||||
0.522018 | + | 0.852935i | \(0.325179\pi\) | |||||||
\(758\) | −1.17015 | + | 3.60134i | −0.0425016 | + | 0.130807i | ||||
\(759\) | −13.5078 | + | 9.81396i | −0.490301 | + | 0.356224i | ||||
\(760\) | −1.92327 | + | 0.856296i | −0.0697644 | + | 0.0310611i | ||||
\(761\) | 31.1331 | + | 22.6195i | 1.12857 | + | 0.819956i | 0.985487 | − | 0.169754i | \(-0.0542972\pi\) |
0.143087 | + | 0.989710i | \(0.454297\pi\) | |||||||
\(762\) | 7.20938 | − | 5.23792i | 0.261168 | − | 0.189750i | ||||
\(763\) | 1.53818 | − | 1.11755i | 0.0556859 | − | 0.0404582i | ||||
\(764\) | 4.30757 | + | 3.12964i | 0.155843 | + | 0.113226i | ||||
\(765\) | 17.6681 | + | 3.75547i | 0.638792 | + | 0.135779i | ||||
\(766\) | −12.1139 | + | 8.80126i | −0.437693 | + | 0.318002i | ||||
\(767\) | 11.9450 | − | 36.7628i | 0.431307 | − | 1.32743i | ||||
\(768\) | −1.33826 | −0.0482903 | ||||||||
\(769\) | −13.0252 | + | 40.0875i | −0.469701 | + | 1.44559i | 0.383272 | + | 0.923635i | \(0.374797\pi\) |
−0.852973 | + | 0.521955i | \(0.825203\pi\) | |||||||
\(770\) | −9.01489 | − | 1.91617i | −0.324874 | − | 0.0690541i | ||||
\(771\) | −0.977273 | − | 3.00774i | −0.0351956 | − | 0.108321i | ||||
\(772\) | −0.936251 | − | 2.88148i | −0.0336964 | − | 0.103707i | ||||
\(773\) | 22.8998 | + | 16.6377i | 0.823649 | + | 0.598416i | 0.917755 | − | 0.397146i | \(-0.129999\pi\) |
−0.0941064 | + | 0.995562i | \(0.529999\pi\) | |||||||
\(774\) | −1.34931 | −0.0484999 | ||||||||
\(775\) | 37.4622 | − | 7.96284i | 1.34568 | − | 0.286034i | ||||
\(776\) | 18.2165 | 0.653934 | ||||||||
\(777\) | −11.8539 | − | 8.61239i | −0.425258 | − | 0.308968i | ||||
\(778\) | 8.32350 | + | 25.6171i | 0.298412 | + | 0.918417i | ||||
\(779\) | −1.52386 | − | 4.68995i | −0.0545979 | − | 0.168035i | ||||
\(780\) | 8.90063 | + | 9.88515i | 0.318694 | + | 0.353945i | ||||
\(781\) | 15.4059 | − | 47.4146i | 0.551268 | − | 1.69663i | ||||
\(782\) | −20.2240 | −0.723210 | ||||||||
\(783\) | −14.9116 | + | 45.8933i | −0.532898 | + | 1.64009i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | 3.58329 | − | 6.20644i | 0.127893 | − | 0.221517i | ||||
\(786\) | 3.99038 | + | 2.89918i | 0.142332 | + | 0.103410i | ||||
\(787\) | −26.5029 | + | 19.2555i | −0.944727 | + | 0.686384i | −0.949554 | − | 0.313604i | \(-0.898464\pi\) |
0.00482685 | + | 0.999988i | \(0.498464\pi\) | |||||||
\(788\) | 4.58097 | − | 3.32827i | 0.163190 | − | 0.118565i | ||||
\(789\) | −12.5508 | − | 9.11871i | −0.446821 | − | 0.324635i | ||||
\(790\) | −9.49189 | − | 10.5418i | −0.337706 | − | 0.375061i | ||||
\(791\) | −9.87139 | + | 7.17198i | −0.350986 | + | 0.255006i | ||||
\(792\) | −1.53993 | + | 4.73941i | −0.0547189 | + | 0.168407i | ||||
\(793\) | 31.7308 | 1.12679 | ||||||||
\(794\) | 2.91456 | − | 8.97010i | 0.103434 | − | 0.318337i | ||||
\(795\) | −1.61107 | − | 15.3284i | −0.0571389 | − | 0.543641i | ||||
\(796\) | 2.50079 | + | 7.69664i | 0.0886381 | + | 0.272800i | ||||
\(797\) | −4.62067 | − | 14.2210i | −0.163673 | − | 0.503732i | 0.835263 | − | 0.549850i | \(-0.185315\pi\) |
−0.998936 | + | 0.0461176i | \(0.985315\pi\) | |||||||
\(798\) | −1.01935 | − | 0.740603i | −0.0360847 | − | 0.0262170i | ||||
\(799\) | 21.5768 | 0.763333 | ||||||||
\(800\) | −2.50000 | − | 4.33013i | −0.0883883 | − | 0.153093i | ||||
\(801\) | 14.0937 | 0.497975 | ||||||||
\(802\) | −13.9473 | − | 10.1333i | −0.492497 | − | 0.357820i | ||||
\(803\) | 7.50585 | + | 23.1006i | 0.264876 | + | 0.815203i | ||||
\(804\) | −2.82252 | − | 8.68683i | −0.0995427 | − | 0.306361i | ||||
\(805\) | −6.18343 | + | 2.75304i | −0.217937 | + | 0.0970319i | ||||
\(806\) | 10.5217 | − | 32.3824i | 0.370611 | − | 1.14062i | ||||
\(807\) | 14.8114 | 0.521385 | ||||||||
\(808\) | −1.53302 | + | 4.71816i | −0.0539316 | + | 0.165984i | ||||
\(809\) | −17.5634 | + | 12.7605i | −0.617495 | + | 0.448636i | −0.852045 | − | 0.523468i | \(-0.824638\pi\) |
0.234551 | + | 0.972104i | \(0.424638\pi\) | |||||||
\(810\) | 0.914131 | + | 8.69738i | 0.0321193 | + | 0.305595i | ||||
\(811\) | 15.2002 | + | 11.0436i | 0.533752 | + | 0.387794i | 0.821759 | − | 0.569835i | \(-0.192993\pi\) |
−0.288007 | + | 0.957628i | \(0.592993\pi\) | |||||||
\(812\) | 6.93066 | − | 5.03542i | 0.243219 | − | 0.176709i | ||||
\(813\) | −27.7942 | + | 20.1936i | −0.974784 | + | 0.708222i | ||||
\(814\) | 36.5084 | + | 26.5249i | 1.27962 | + | 0.929697i | ||||
\(815\) | 2.22807 | + | 21.1986i | 0.0780457 | + | 0.742556i | ||||
\(816\) | 7.23357 | − | 5.25549i | 0.253226 | − | 0.183979i | ||||
\(817\) | −0.324693 | + | 0.999301i | −0.0113596 | + | 0.0349611i | ||||
\(818\) | −9.28600 | −0.324677 | ||||||||
\(819\) | 1.66078 | − | 5.11137i | 0.0580325 | − | 0.178606i | ||||
\(820\) | 10.6992 | − | 4.76359i | 0.373632 | − | 0.166352i | ||||
\(821\) | −5.78983 | − | 17.8193i | −0.202066 | − | 0.621896i | −0.999821 | − | 0.0189143i | \(-0.993979\pi\) |
0.797755 | − | 0.602982i | \(-0.206021\pi\) | |||||||
\(822\) | 7.84421 | + | 24.1420i | 0.273598 | + | 0.842049i | ||||
\(823\) | 41.6507 | + | 30.2610i | 1.45185 | + | 1.05483i | 0.985395 | + | 0.170287i | \(0.0544694\pi\) |
0.466456 | + | 0.884544i | \(0.345531\pi\) | |||||||
\(824\) | 11.6095 | 0.404438 | ||||||||
\(825\) | 26.9765 | − | 5.73404i | 0.939202 | − | 0.199634i | ||||
\(826\) | −8.69598 | −0.302572 | ||||||||
\(827\) | −28.3549 | − | 20.6011i | −0.985998 | − | 0.716369i | −0.0269566 | − | 0.999637i | \(-0.508582\pi\) |
−0.959041 | + | 0.283267i | \(0.908582\pi\) | |||||||
\(828\) | 1.13095 | + | 3.48070i | 0.0393032 | + | 0.120963i | ||||
\(829\) | −2.03761 | − | 6.27113i | −0.0707692 | − | 0.217805i | 0.909416 | − | 0.415887i | \(-0.136529\pi\) |
−0.980185 | + | 0.198082i | \(0.936529\pi\) | |||||||
\(830\) | 2.38721 | + | 22.7127i | 0.0828611 | + | 0.788371i | ||||
\(831\) | 8.97422 | − | 27.6198i | 0.311312 | − | 0.958121i | ||||
\(832\) | −4.44512 | −0.154107 | ||||||||
\(833\) | 2.06460 | − | 6.35419i | 0.0715342 | − | 0.220160i | ||||
\(834\) | −1.40136 | + | 1.01815i | −0.0485253 | + | 0.0352557i | ||||
\(835\) | 17.6507 | + | 19.6031i | 0.610828 | + | 0.678394i | ||||
\(836\) | 3.13945 | + | 2.28095i | 0.108580 | + | 0.0788882i | ||||
\(837\) | 34.9062 | − | 25.3608i | 1.20653 | − | 0.876598i | ||||
\(838\) | −2.18769 | + | 1.58945i | −0.0755726 | + | 0.0549067i | ||||
\(839\) | −41.6784 | − | 30.2811i | −1.43890 | − | 1.04542i | −0.988272 | − | 0.152707i | \(-0.951201\pi\) |
−0.450625 | − | 0.892713i | \(-0.648799\pi\) | |||||||
\(840\) | 1.49622 | − | 2.59153i | 0.0516245 | − | 0.0894163i | ||||
\(841\) | −35.9119 | + | 26.0915i | −1.23834 | + | 0.899708i | ||||
\(842\) | −0.649427 | + | 1.99873i | −0.0223807 | + | 0.0688808i | ||||
\(843\) | 14.7410 | 0.507708 | ||||||||
\(844\) | −1.01157 | + | 3.11330i | −0.0348198 | + | 0.107164i | ||||
\(845\) | 10.1132 | + | 11.2318i | 0.347903 | + | 0.386386i | ||||
\(846\) | −1.20660 | − | 3.71353i | −0.0414837 | − | 0.127674i | ||||
\(847\) | 1.85039 | + | 5.69490i | 0.0635800 | + | 0.195679i | ||||
\(848\) | 4.16690 | + | 3.02743i | 0.143092 | + | 0.103962i | ||||
\(849\) | −16.2537 | −0.557824 | ||||||||
\(850\) | 30.5179 | + | 13.5874i | 1.04675 | + | 0.466045i | ||||
\(851\) | 33.1420 | 1.13609 | ||||||||
\(852\) | 13.0959 | + | 9.51469i | 0.448656 | + | 0.325968i | ||||
\(853\) | 5.20775 | + | 16.0278i | 0.178310 | + | 0.548782i | 0.999769 | − | 0.0214854i | \(-0.00683954\pi\) |
−0.821459 | + | 0.570268i | \(0.806840\pi\) | |||||||
\(854\) | −2.20587 | − | 6.78897i | −0.0754833 | − | 0.232314i | ||||
\(855\) | −2.48978 | − | 0.529220i | −0.0851488 | − | 0.0180989i | ||||
\(856\) | −5.32798 | + | 16.3978i | −0.182107 | + | 0.560467i | ||||
\(857\) | −33.1837 | −1.13354 | −0.566768 | − | 0.823878i | \(-0.691806\pi\) | ||||
−0.566768 | + | 0.823878i | \(0.691806\pi\) | |||||||
\(858\) | 7.57666 | − | 23.3186i | 0.258663 | − | 0.796083i | ||||
\(859\) | 32.1561 | − | 23.3628i | 1.09715 | − | 0.797127i | 0.116559 | − | 0.993184i | \(-0.462814\pi\) |
0.980593 | + | 0.196056i | \(0.0628136\pi\) | |||||||
\(860\) | −2.44092 | − | 0.518834i | −0.0832347 | − | 0.0176921i | ||||
\(861\) | 5.67068 | + | 4.11999i | 0.193256 | + | 0.140409i | ||||
\(862\) | 4.07322 | − | 2.95936i | 0.138734 | − | 0.100796i | ||||
\(863\) | −1.64557 | + | 1.19557i | −0.0560158 | + | 0.0406978i | −0.615441 | − | 0.788183i | \(-0.711022\pi\) |
0.559425 | + | 0.828881i | \(0.311022\pi\) | |||||||
\(864\) | −4.55705 | − | 3.31089i | −0.155034 | − | 0.112639i | ||||
\(865\) | −14.0326 | + | 6.24774i | −0.477124 | + | 0.212429i | ||||
\(866\) | −29.1363 | + | 21.1688i | −0.990092 | + | 0.719344i | ||||
\(867\) | −11.4297 | + | 35.1770i | −0.388173 | + | 1.19467i | ||||
\(868\) | −7.65983 | −0.259992 | ||||||||
\(869\) | −8.07998 | + | 24.8676i | −0.274094 | + | 0.843576i | ||||
\(870\) | −12.8178 | + | 22.2011i | −0.434564 | + | 0.752686i | ||||
\(871\) | −9.37520 | − | 28.8539i | −0.317666 | − | 0.977677i | ||||
\(872\) | −0.587533 | − | 1.80824i | −0.0198964 | − | 0.0612348i | ||||
\(873\) | 17.8184 | + | 12.9458i | 0.603062 | + | 0.438150i | ||||
\(874\) | 2.84997 | 0.0964015 | ||||||||
\(875\) | 11.1803 | 0.377964 | ||||||||
\(876\) | −7.88656 | −0.266462 | ||||||||
\(877\) | 22.2825 | + | 16.1892i | 0.752427 | + | 0.546670i | 0.896578 | − | 0.442886i | \(-0.146045\pi\) |
−0.144152 | + | 0.989556i | \(0.546045\pi\) | |||||||
\(878\) | 6.90558 | + | 21.2532i | 0.233052 | + | 0.717261i | ||||
\(879\) | −4.93292 | − | 15.1820i | −0.166383 | − | 0.512075i | ||||
\(880\) | −4.60814 | + | 7.98154i | −0.155340 | + | 0.269058i | ||||
\(881\) | −2.74070 | + | 8.43500i | −0.0923364 | + | 0.284182i | −0.986550 | − | 0.163458i | \(-0.947735\pi\) |
0.894214 | + | 0.447640i | \(0.147735\pi\) | |||||||
\(882\) | −1.20906 | −0.0407111 | ||||||||
\(883\) | −10.2622 | + | 31.5839i | −0.345352 | + | 1.06288i | 0.616043 | + | 0.787713i | \(0.288735\pi\) |
−0.961395 | + | 0.275172i | \(0.911265\pi\) | |||||||
\(884\) | 24.0268 | − | 17.4565i | 0.808108 | − | 0.587125i | ||||
\(885\) | 23.7725 | − | 10.5842i | 0.799103 | − | 0.355784i | ||||
\(886\) | −16.3461 | − | 11.8761i | −0.549158 | − | 0.398987i | ||||
\(887\) | 43.0985 | − | 31.3129i | 1.44711 | − | 1.05138i | 0.460609 | − | 0.887603i | \(-0.347631\pi\) |
0.986497 | − | 0.163780i | \(-0.0523688\pi\) | |||||||
\(888\) | −11.8539 | + | 8.61239i | −0.397792 | + | 0.289013i | ||||
\(889\) | −5.38712 | − | 3.91398i | −0.180678 | − | 0.131271i | ||||
\(890\) | 25.4957 | + | 5.41927i | 0.854617 | + | 0.181654i | ||||
\(891\) | 13.0412 | − | 9.47498i | 0.436897 | − | 0.317424i | ||||
\(892\) | 8.48487 | − | 26.1138i | 0.284095 | − | 0.874353i | ||||
\(893\) | −3.04060 | −0.101750 | ||||||||
\(894\) | 7.89090 | − | 24.2857i | 0.263911 | − | 0.812235i | ||||
\(895\) | −30.6503 | − | 6.51493i | −1.02453 | − | 0.217770i | ||||
\(896\) | 0.309017 | + | 0.951057i | 0.0103235 | + | 0.0317726i | ||||
\(897\) | −5.56444 | − | 17.1256i | −0.185791 | − | 0.571806i | ||||
\(898\) | −14.7332 | − | 10.7043i | −0.491654 | − | 0.357208i | ||||
\(899\) | 65.6200 | 2.18855 | ||||||||
\(900\) | 0.631904 | − | 6.01217i | 0.0210635 | − | 0.200406i | ||||
\(901\) | −34.4119 | −1.14643 | ||||||||
\(902\) | −17.4648 | − | 12.6890i | −0.581516 | − | 0.422496i | ||||
\(903\) | −0.461517 | − | 1.42040i | −0.0153583 | − | 0.0472681i | ||||
\(904\) | 3.77053 | + | 11.6045i | 0.125406 | + | 0.385960i | ||||
\(905\) | −28.3111 | − | 31.4427i | −0.941093 | − | 1.04519i | ||||
\(906\) | −0.708017 | + | 2.17905i | −0.0235223 | + | 0.0723942i | ||||
\(907\) | 44.7484 | 1.48584 | 0.742922 | − | 0.669377i | \(-0.233439\pi\) | ||||
0.742922 | + | 0.669377i | \(0.233439\pi\) | |||||||
\(908\) | −0.863039 | + | 2.65616i | −0.0286410 | + | 0.0881478i | ||||
\(909\) | −4.85256 | + | 3.52559i | −0.160949 | + | 0.116936i | ||||
\(910\) | 4.96980 | − | 8.60795i | 0.164747 | − | 0.285351i | ||||
\(911\) | −29.0615 | − | 21.1144i | −0.962849 | − | 0.699551i | −0.00903825 | − | 0.999959i | \(-0.502877\pi\) |
−0.953811 | + | 0.300408i | \(0.902877\pi\) | |||||||
\(912\) | −1.01935 | + | 0.740603i | −0.0337541 | + | 0.0245238i | ||||
\(913\) | 34.0564 | − | 24.7434i | 1.12710 | − | 0.818888i | ||||
\(914\) | −7.41919 | − | 5.39036i | −0.245405 | − | 0.178297i | ||||
\(915\) | 14.2934 | + | 15.8744i | 0.472524 | + | 0.524791i | ||||
\(916\) | −6.60134 | + | 4.79615i | −0.218114 | + | 0.158469i | ||||
\(917\) | 1.13893 | − | 3.50527i | 0.0376108 | − | 0.115754i | ||||
\(918\) | 37.6339 | 1.24211 | ||||||||
\(919\) | −4.61168 | + | 14.1933i | −0.152125 | + | 0.468194i | −0.997858 | − | 0.0654127i | \(-0.979164\pi\) |
0.845733 | + | 0.533606i | \(0.179164\pi\) | |||||||
\(920\) | 0.707512 | + | 6.73152i | 0.0233260 | + | 0.221932i | ||||
\(921\) | 3.09112 | + | 9.51350i | 0.101856 | + | 0.313481i | ||||
\(922\) | −8.16115 | − | 25.1174i | −0.268773 | − | 0.827199i | ||||
\(923\) | 43.4988 | + | 31.6037i | 1.43178 | + | 1.04025i | ||||
\(924\) | −5.51584 | −0.181458 | ||||||||
\(925\) | −50.0109 | − | 22.2663i | −1.64435 | − | 0.732110i | ||||
\(926\) | 2.46674 | 0.0810620 | ||||||||
\(927\) | 11.3558 | + | 8.25051i | 0.372975 | + | 0.270982i | ||||
\(928\) | −2.64728 | − | 8.14748i | −0.0869012 | − | 0.267454i | ||||
\(929\) | 1.70278 | + | 5.24063i | 0.0558665 | + | 0.171939i | 0.975096 | − | 0.221782i | \(-0.0711874\pi\) |
−0.919230 | + | 0.393722i | \(0.871187\pi\) | |||||||
\(930\) | 20.9399 | − | 9.32306i | 0.686647 | − | 0.305715i | ||||
\(931\) | −0.290943 | + | 0.895431i | −0.00953527 | + | 0.0293466i | ||||
\(932\) | −21.8398 | −0.715388 | ||||||||
\(933\) | 9.66972 | − | 29.7603i | 0.316572 | − | 0.974310i | ||||
\(934\) | −12.5706 | + | 9.13304i | −0.411321 | + | 0.298842i | ||||
\(935\) | −6.43642 | − | 61.2384i | −0.210493 | − | 2.00271i | ||||
\(936\) | −4.34799 | − | 3.15900i | −0.142118 | − | 0.103255i | ||||
\(937\) | −28.2148 | + | 20.4993i | −0.921739 | + | 0.669682i | −0.943956 | − | 0.330071i | \(-0.892927\pi\) |
0.0222174 | + | 0.999753i | \(0.492927\pi\) | |||||||
\(938\) | −5.52169 | + | 4.01174i | −0.180289 | + | 0.130988i | ||||
\(939\) | −14.5997 | − | 10.6073i | −0.476442 | − | 0.346156i | ||||
\(940\) | −0.754837 | − | 7.18179i | −0.0246201 | − | 0.234244i | ||||
\(941\) | −13.3723 | + | 9.71555i | −0.435925 | + | 0.316718i | −0.784014 | − | 0.620744i | \(-0.786831\pi\) |
0.348089 | + | 0.937462i | \(0.386831\pi\) | |||||||
\(942\) | 1.32541 | − | 4.07919i | 0.0431842 | − | 0.132907i | ||||
\(943\) | −15.8544 | −0.516291 | ||||||||
\(944\) | −2.68720 | + | 8.27037i | −0.0874611 | + | 0.269177i | ||||
\(945\) | 11.5064 | − | 5.12300i | 0.374304 | − | 0.166651i | ||||
\(946\) | 1.42140 | + | 4.37463i | 0.0462138 | + | 0.142232i | ||||
\(947\) | −6.94228 | − | 21.3661i | −0.225594 | − | 0.694306i | −0.998231 | − | 0.0594581i | \(-0.981063\pi\) |
0.772637 | − | 0.634848i | \(-0.218937\pi\) | |||||||
\(948\) | −6.86840 | − | 4.99018i | −0.223075 | − | 0.162074i | ||||
\(949\) | −26.1957 | −0.850349 | ||||||||
\(950\) | −4.30057 | − | 1.91474i | −0.139529 | − | 0.0621222i | ||||
\(951\) | −7.65049 | −0.248084 | ||||||||
\(952\) | −5.40520 | − | 3.92711i | −0.175183 | − | 0.127278i | ||||
\(953\) | 6.25093 | + | 19.2384i | 0.202488 | + | 0.623193i | 0.999807 | + | 0.0196354i | \(0.00625053\pi\) |
−0.797320 | + | 0.603557i | \(0.793749\pi\) | |||||||
\(954\) | 1.92435 | + | 5.92254i | 0.0623032 | + | 0.191749i | ||||
\(955\) | 1.24450 | + | 11.8406i | 0.0402711 | + | 0.383153i | ||||
\(956\) | −9.14908 | + | 28.1580i | −0.295903 | + | 0.910694i | ||||
\(957\) | 47.2530 | 1.52747 | ||||||||
\(958\) | −2.03595 | + | 6.26600i | −0.0657785 | + | 0.202445i | ||||
\(959\) | 15.3456 | − | 11.1492i | 0.495535 | − | 0.360027i | ||||
\(960\) | −2.00234 | − | 2.22382i | −0.0646251 | − | 0.0717734i | ||||
\(961\) | −22.3879 | − | 16.2658i | −0.722191 | − | 0.524702i | ||||
\(962\) | −39.3737 | + | 28.6066i | −1.26946 | + | 0.922315i | ||||
\(963\) | −16.8649 | + | 12.2531i | −0.543465 | + | 0.394851i | ||||
\(964\) | −8.41466 | − | 6.11361i | −0.271018 | − | 0.196906i | ||||
\(965\) | 3.38739 | − | 5.86713i | 0.109044 | − | 0.188870i | ||||
\(966\) | −3.27727 | + | 2.38108i | −0.105445 | + | 0.0766099i | ||||
\(967\) | −0.335765 | + | 1.03338i | −0.0107975 | + | 0.0332312i | −0.956310 | − | 0.292354i | \(-0.905561\pi\) |
0.945513 | + | 0.325585i | \(0.105561\pi\) | |||||||
\(968\) | 5.98798 | 0.192461 | ||||||||
\(969\) | 2.60137 | − | 8.00621i | 0.0835682 | − | 0.257196i | ||||
\(970\) | 27.2559 | + | 30.2707i | 0.875134 | + | 0.971935i | ||||
\(971\) | −2.04525 | − | 6.29462i | −0.0656351 | − | 0.202004i | 0.912861 | − | 0.408271i | \(-0.133868\pi\) |
−0.978496 | + | 0.206267i | \(0.933868\pi\) | |||||||
\(972\) | −3.60453 | − | 11.0936i | −0.115615 | − | 0.355827i | ||||
\(973\) | 1.04715 | + | 0.760801i | 0.0335702 | + | 0.0243902i | ||||
\(974\) | −25.9111 | −0.830245 | ||||||||
\(975\) | −3.10906 | + | 29.5808i | −0.0995697 | + | 0.947342i | ||||
\(976\) | −7.13834 | −0.228493 | ||||||||
\(977\) | −48.2324 | − | 35.0429i | −1.54309 | − | 1.12112i | −0.948359 | − | 0.317198i | \(-0.897258\pi\) |
−0.594733 | − | 0.803923i | \(-0.702742\pi\) | |||||||
\(978\) | 3.94214 | + | 12.1326i | 0.126056 | + | 0.387959i | ||||
\(979\) | −14.8467 | − | 45.6935i | −0.474503 | − | 1.46037i | ||||
\(980\) | −2.18720 | − | 0.464905i | −0.0698677 | − | 0.0148508i | ||||
\(981\) | 0.710361 | − | 2.18627i | 0.0226801 | − | 0.0698021i | ||||
\(982\) | −23.7457 | −0.757757 | ||||||||
\(983\) | 2.22414 | − | 6.84521i | 0.0709391 | − | 0.218328i | −0.909301 | − | 0.416139i | \(-0.863383\pi\) |
0.980240 | + | 0.197811i | \(0.0633831\pi\) | |||||||
\(984\) | 5.67068 | − | 4.11999i | 0.180775 | − | 0.131340i | ||||
\(985\) | 12.3848 | + | 2.63247i | 0.394612 | + | 0.0838774i | ||||
\(986\) | 46.3051 | + | 33.6426i | 1.47465 | + | 1.07140i | ||||
\(987\) | 3.49649 | − | 2.54035i | 0.111294 | − | 0.0808602i | ||||
\(988\) | −3.38585 | + | 2.45996i | −0.107718 | + | 0.0782618i | ||||
\(989\) | 2.73298 | + | 1.98562i | 0.0869036 | + | 0.0631392i | ||||
\(990\) | −10.1796 | + | 4.53227i | −0.323530 | + | 0.144045i | ||||
\(991\) | −16.8863 | + | 12.2686i | −0.536412 | + | 0.389726i | −0.822751 | − | 0.568402i | \(-0.807562\pi\) |
0.286339 | + | 0.958128i | \(0.407562\pi\) | |||||||
\(992\) | −2.36702 | + | 7.28493i | −0.0751529 | + | 0.231297i | ||||
\(993\) | 21.5058 | 0.682467 | ||||||||
\(994\) | 3.73781 | − | 11.5038i | 0.118556 | − | 0.364879i | ||||
\(995\) | −9.04794 | + | 15.6715i | −0.286839 | + | 0.496820i | ||||
\(996\) | 4.22370 | + | 12.9992i | 0.133833 | + | 0.411896i | ||||
\(997\) | −12.1036 | − | 37.2512i | −0.383326 | − | 1.17976i | −0.937687 | − | 0.347480i | \(-0.887037\pi\) |
0.554361 | − | 0.832276i | \(-0.312963\pi\) | |||||||
\(998\) | 19.5878 | + | 14.2314i | 0.620042 | + | 0.450487i | ||||
\(999\) | −61.6722 | −1.95122 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 350.2.h.a.141.1 | ✓ | 8 | |
25.6 | even | 5 | 8750.2.a.j.1.2 | 4 | |||
25.11 | even | 5 | inner | 350.2.h.a.211.1 | yes | 8 | |
25.19 | even | 10 | 8750.2.a.e.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.a.141.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
350.2.h.a.211.1 | yes | 8 | 25.11 | even | 5 | inner | |
8750.2.a.e.1.3 | 4 | 25.19 | even | 10 | |||
8750.2.a.j.1.2 | 4 | 25.6 | even | 5 |