Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.10 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.10 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327151 | − | 1.37585i | 0.231331 | − | 0.972875i | ||||
\(3\) | −0.844796 | + | 1.51206i | −0.487743 | + | 0.872987i | ||||
\(4\) | −1.78594 | − | 0.900224i | −0.892972 | − | 0.450112i | ||||
\(5\) | −0.891015 | − | 3.32531i | −0.398474 | − | 1.48712i | −0.815782 | − | 0.578360i | \(-0.803693\pi\) |
0.417308 | − | 0.908765i | \(-0.362974\pi\) | |||||||
\(6\) | 1.80399 | + | 1.65699i | 0.736477 | + | 0.676462i | ||||
\(7\) | 3.95817 | − | 2.28525i | 1.49605 | − | 0.863743i | 0.496057 | − | 0.868290i | \(-0.334781\pi\) |
0.999990 | + | 0.00454705i | \(0.00144738\pi\) | |||||||
\(8\) | −1.82285 | + | 2.16269i | −0.644475 | + | 0.764625i | ||||
\(9\) | −1.57264 | − | 2.55476i | −0.524213 | − | 0.851587i | ||||
\(10\) | −4.86664 | + | 0.138025i | −1.53897 | + | 0.0436474i | ||||
\(11\) | −2.12042 | − | 0.568165i | −0.639331 | − | 0.171308i | −0.0754306 | − | 0.997151i | \(-0.524033\pi\) |
−0.563900 | + | 0.825843i | \(0.690700\pi\) | |||||||
\(12\) | 2.86995 | − | 1.93995i | 0.828483 | − | 0.560014i | ||||
\(13\) | −0.0649637 | + | 0.0174070i | −0.0180177 | + | 0.00482783i | −0.267817 | − | 0.963470i | \(-0.586302\pi\) |
0.249799 | + | 0.968298i | \(0.419635\pi\) | |||||||
\(14\) | −1.84925 | − | 6.19348i | −0.494232 | − | 1.65528i | ||||
\(15\) | 5.78079 | + | 1.46195i | 1.49259 | + | 0.377473i | ||||
\(16\) | 2.37919 | + | 3.21550i | 0.594798 | + | 0.803875i | ||||
\(17\) | −0.00952807 | −0.00231090 | −0.00115545 | − | 0.999999i | \(-0.500368\pi\) | ||||
−0.00115545 | + | 0.999999i | \(0.500368\pi\) | |||||||
\(18\) | −4.02947 | + | 1.32793i | −0.949755 | + | 0.312995i | ||||
\(19\) | 2.79059 | + | 2.79059i | 0.640205 | + | 0.640205i | 0.950606 | − | 0.310401i | \(-0.100463\pi\) |
−0.310401 | + | 0.950606i | \(0.600463\pi\) | |||||||
\(20\) | −1.40222 | + | 6.74094i | −0.313547 | + | 1.50732i | ||||
\(21\) | 0.111584 | + | 7.91555i | 0.0243497 | + | 1.72731i | ||||
\(22\) | −1.47541 | + | 2.73151i | −0.314558 | + | 0.582360i | ||||
\(23\) | 4.81949 | + | 2.78254i | 1.00493 | + | 0.580199i | 0.909704 | − | 0.415256i | \(-0.136308\pi\) |
0.0952296 | + | 0.995455i | \(0.469641\pi\) | |||||||
\(24\) | −1.73017 | − | 4.58329i | −0.353170 | − | 0.935559i | ||||
\(25\) | −5.93367 | + | 3.42580i | −1.18673 | + | 0.685161i | ||||
\(26\) | 0.00269648 | + | 0.0950753i | 0.000528823 | + | 0.0186458i | ||||
\(27\) | 5.19151 | − | 0.219668i | 0.999106 | − | 0.0422752i | ||||
\(28\) | −9.12630 | + | 0.518089i | −1.72471 | + | 0.0979096i | ||||
\(29\) | 0.343789 | − | 1.28304i | 0.0638400 | − | 0.238254i | −0.926632 | − | 0.375970i | \(-0.877309\pi\) |
0.990472 | + | 0.137716i | \(0.0439762\pi\) | |||||||
\(30\) | 3.90262 | − | 7.47524i | 0.712517 | − | 1.36479i | ||||
\(31\) | −1.30392 | + | 2.25846i | −0.234191 | + | 0.405631i | −0.959037 | − | 0.283280i | \(-0.908578\pi\) |
0.724846 | + | 0.688911i | \(0.241911\pi\) | |||||||
\(32\) | 5.20241 | − | 2.22146i | 0.919665 | − | 0.392703i | ||||
\(33\) | 2.65042 | − | 2.72622i | 0.461379 | − | 0.474573i | ||||
\(34\) | −0.00311712 | + | 0.0131092i | −0.000534582 | + | 0.00224821i | ||||
\(35\) | −11.1260 | − | 11.1260i | −1.88063 | − | 1.88063i | ||||
\(36\) | 0.508787 | + | 5.97839i | 0.0847978 | + | 0.996398i | ||||
\(37\) | −3.32550 | + | 3.32550i | −0.546708 | + | 0.546708i | −0.925487 | − | 0.378779i | \(-0.876344\pi\) |
0.378779 | + | 0.925487i | \(0.376344\pi\) | |||||||
\(38\) | 4.75239 | − | 2.92650i | 0.770939 | − | 0.474741i | ||||
\(39\) | 0.0285607 | − | 0.112934i | 0.00457338 | − | 0.0180840i | ||||
\(40\) | 8.81580 | + | 4.13456i | 1.39390 | + | 0.653731i | ||||
\(41\) | 4.34209 | + | 2.50691i | 0.678121 | + | 0.391513i | 0.799147 | − | 0.601136i | \(-0.205285\pi\) |
−0.121026 | + | 0.992649i | \(0.538618\pi\) | |||||||
\(42\) | 10.9271 | + | 2.43606i | 1.68609 | + | 0.375892i | ||||
\(43\) | 2.68208 | + | 0.718661i | 0.409013 | + | 0.109595i | 0.457458 | − | 0.889231i | \(-0.348760\pi\) |
−0.0484450 | + | 0.998826i | \(0.515427\pi\) | |||||||
\(44\) | 3.27548 | + | 2.92357i | 0.493797 | + | 0.440744i | ||||
\(45\) | −7.09414 | + | 7.50585i | −1.05753 | + | 1.11891i | ||||
\(46\) | 5.40507 | − | 5.72061i | 0.796933 | − | 0.843457i | ||||
\(47\) | −2.77988 | − | 4.81489i | −0.405487 | − | 0.702324i | 0.588891 | − | 0.808212i | \(-0.299565\pi\) |
−0.994378 | + | 0.105889i | \(0.966231\pi\) | |||||||
\(48\) | −6.87196 | + | 0.881035i | −0.991881 | + | 0.127166i | ||||
\(49\) | 6.94473 | − | 12.0286i | 0.992104 | − | 1.71837i | ||||
\(50\) | 2.77220 | + | 9.28461i | 0.392048 | + | 1.31304i | ||||
\(51\) | 0.00804928 | − | 0.0144070i | 0.00112712 | − | 0.00201738i | ||||
\(52\) | 0.131692 | + | 0.0273940i | 0.0182624 | + | 0.00379887i | ||||
\(53\) | 1.80067 | − | 1.80067i | 0.247341 | − | 0.247341i | −0.572537 | − | 0.819879i | \(-0.694041\pi\) |
0.819879 | + | 0.572537i | \(0.194041\pi\) | |||||||
\(54\) | 1.39618 | − | 7.21462i | 0.189996 | − | 0.981785i | ||||
\(55\) | 7.55731i | 1.01903i | ||||||||
\(56\) | −2.27287 | + | 12.7259i | −0.303725 | + | 1.70058i | ||||
\(57\) | −6.57701 | + | 1.86205i | −0.871147 | + | 0.246635i | ||||
\(58\) | −1.65280 | − | 0.892751i | −0.217023 | − | 0.117224i | ||||
\(59\) | −0.0592399 | − | 0.221086i | −0.00771238 | − | 0.0287830i | 0.961962 | − | 0.273182i | \(-0.0880761\pi\) |
−0.969675 | + | 0.244399i | \(0.921409\pi\) | |||||||
\(60\) | −9.00809 | − | 7.81496i | −1.16294 | − | 1.00891i | ||||
\(61\) | 2.91654 | − | 10.8847i | 0.373425 | − | 1.39364i | −0.482207 | − | 0.876057i | \(-0.660165\pi\) |
0.855632 | − | 0.517584i | \(-0.173169\pi\) | |||||||
\(62\) | 2.68073 | + | 2.53286i | 0.340453 | + | 0.321674i | ||||
\(63\) | −12.0630 | − | 6.51830i | −1.51980 | − | 0.821229i | ||||
\(64\) | −1.35443 | − | 7.88451i | −0.169304 | − | 0.985564i | ||||
\(65\) | 0.115767 | + | 0.200515i | 0.0143592 | + | 0.0248708i | ||||
\(66\) | −2.88378 | − | 4.53848i | −0.354969 | − | 0.558648i | ||||
\(67\) | −4.45355 | + | 1.19332i | −0.544087 | + | 0.145788i | −0.520386 | − | 0.853931i | \(-0.674212\pi\) |
−0.0237016 | + | 0.999719i | \(0.507545\pi\) | |||||||
\(68\) | 0.0170166 | + | 0.00857740i | 0.00206357 | + | 0.00104016i | ||||
\(69\) | −8.27885 | + | 4.93668i | −0.996656 | + | 0.594306i | ||||
\(70\) | −18.9475 | + | 11.6678i | −2.26466 | + | 1.39457i | ||||
\(71\) | 7.21697i | 0.856497i | 0.903661 | + | 0.428248i | \(0.140869\pi\) | ||||
−0.903661 | + | 0.428248i | \(0.859131\pi\) | |||||||
\(72\) | 8.39184 | + | 1.25582i | 0.988987 | + | 0.148000i | ||||
\(73\) | − | 6.99151i | − | 0.818294i | −0.912469 | − | 0.409147i | \(-0.865826\pi\) | ||
0.912469 | − | 0.409147i | \(-0.134174\pi\) | |||||||
\(74\) | 3.48745 | + | 5.66333i | 0.405408 | + | 0.658349i | ||||
\(75\) | −0.167276 | − | 11.8662i | −0.0193153 | − | 1.37019i | ||||
\(76\) | −2.47168 | − | 7.49599i | −0.283521 | − | 0.859850i | ||||
\(77\) | −9.69138 | + | 2.59680i | −1.10444 | + | 0.295933i | ||||
\(78\) | −0.146037 | − | 0.0762420i | −0.0165355 | − | 0.00863270i | ||||
\(79\) | 6.86643 | + | 11.8930i | 0.772534 | + | 1.33807i | 0.936170 | + | 0.351547i | \(0.114344\pi\) |
−0.163636 | + | 0.986521i | \(0.552322\pi\) | |||||||
\(80\) | 8.57265 | − | 10.7766i | 0.958451 | − | 1.20486i | ||||
\(81\) | −4.05361 | + | 8.03543i | −0.450402 | + | 0.892826i | ||||
\(82\) | 4.86966 | − | 5.15395i | 0.537764 | − | 0.569158i | ||||
\(83\) | −3.18073 | + | 11.8706i | −0.349130 | + | 1.30297i | 0.538582 | + | 0.842573i | \(0.318960\pi\) |
−0.887712 | + | 0.460398i | \(0.847707\pi\) | |||||||
\(84\) | 6.92648 | − | 14.2372i | 0.755741 | − | 1.55340i | ||||
\(85\) | 0.00848965 | + | 0.0316838i | 0.000920832 | + | 0.00343659i | ||||
\(86\) | 1.86622 | − | 3.45504i | 0.201239 | − | 0.372566i | ||||
\(87\) | 1.64960 | + | 1.60373i | 0.176855 | + | 0.171938i | ||||
\(88\) | 5.09397 | − | 3.55013i | 0.543019 | − | 0.378445i | ||||
\(89\) | − | 2.28107i | − | 0.241793i | −0.992665 | − | 0.120896i | \(-0.961423\pi\) | ||
0.992665 | − | 0.120896i | \(-0.0385769\pi\) | |||||||
\(90\) | 8.00609 | + | 12.2160i | 0.843916 | + | 1.28768i | ||||
\(91\) | −0.217358 | + | 0.217358i | −0.0227853 | + | 0.0227853i | ||||
\(92\) | −6.10244 | − | 9.30808i | −0.636223 | − | 0.970434i | ||||
\(93\) | −2.31337 | − | 3.87954i | −0.239886 | − | 0.402290i | ||||
\(94\) | −7.53402 | + | 2.24951i | −0.777075 | + | 0.232019i | ||||
\(95\) | 6.79313 | − | 11.7660i | 0.696960 | − | 1.20717i | ||||
\(96\) | −1.03599 | + | 9.74303i | −0.105736 | + | 0.994394i | ||||
\(97\) | −4.69078 | − | 8.12466i | −0.476276 | − | 0.824934i | 0.523354 | − | 0.852115i | \(-0.324680\pi\) |
−0.999631 | + | 0.0271807i | \(0.991347\pi\) | |||||||
\(98\) | −14.2776 | − | 13.4901i | −1.44226 | − | 1.36271i | ||||
\(99\) | 1.88313 | + | 6.31069i | 0.189262 | + | 0.634248i | ||||
\(100\) | 13.6812 | − | 0.776664i | 1.36812 | − | 0.0776664i | ||||
\(101\) | 17.3664 | + | 4.65331i | 1.72802 | + | 0.463022i | 0.979726 | − | 0.200343i | \(-0.0642058\pi\) |
0.748296 | + | 0.663365i | \(0.230872\pi\) | |||||||
\(102\) | −0.0171886 | − | 0.0157879i | −0.00170192 | − | 0.00156323i | ||||
\(103\) | −5.05311 | − | 2.91741i | −0.497897 | − | 0.287461i | 0.229948 | − | 0.973203i | \(-0.426145\pi\) |
−0.727845 | + | 0.685742i | \(0.759478\pi\) | |||||||
\(104\) | 0.0807733 | − | 0.172227i | 0.00792047 | − | 0.0168882i | ||||
\(105\) | 26.2222 | − | 7.42392i | 2.55903 | − | 0.724501i | ||||
\(106\) | −1.88837 | − | 3.06655i | −0.183415 | − | 0.297850i | ||||
\(107\) | −11.3933 | + | 11.3933i | −1.10143 | + | 1.10143i | −0.107195 | + | 0.994238i | \(0.534187\pi\) |
−0.994238 | + | 0.107195i | \(0.965813\pi\) | |||||||
\(108\) | −9.46949 | − | 4.28121i | −0.911202 | − | 0.411959i | ||||
\(109\) | 11.9264 | + | 11.9264i | 1.14235 | + | 1.14235i | 0.988020 | + | 0.154326i | \(0.0493206\pi\) |
0.154326 | + | 0.988020i | \(0.450679\pi\) | |||||||
\(110\) | 10.3977 | + | 2.47238i | 0.991386 | + | 0.235732i | ||||
\(111\) | −2.21898 | − | 7.83771i | −0.210616 | − | 0.743922i | ||||
\(112\) | 16.7655 | + | 7.29044i | 1.58419 | + | 0.688882i | ||||
\(113\) | −2.85638 | + | 4.94740i | −0.268706 | + | 0.465412i | −0.968528 | − | 0.248905i | \(-0.919929\pi\) |
0.699822 | + | 0.714317i | \(0.253263\pi\) | |||||||
\(114\) | 0.410235 | + | 9.65818i | 0.0384220 | + | 0.904571i | ||||
\(115\) | 4.95856 | − | 18.5056i | 0.462388 | − | 1.72566i | ||||
\(116\) | −1.76901 | + | 1.98195i | −0.164248 | + | 0.184019i | ||||
\(117\) | 0.146635 | + | 0.138592i | 0.0135564 | + | 0.0128128i | ||||
\(118\) | −0.323563 | + | 0.00917674i | −0.0297864 | + | 0.000844788i | ||||
\(119\) | −0.0377137 | + | 0.0217740i | −0.00345721 | + | 0.00199602i | ||||
\(120\) | −13.6992 | + | 9.83714i | −1.25056 | + | 0.898004i | ||||
\(121\) | −5.35291 | − | 3.09050i | −0.486628 | − | 0.280955i | ||||
\(122\) | −14.0216 | − | 7.57368i | −1.26945 | − | 0.685688i | ||||
\(123\) | −7.45878 | + | 4.44767i | −0.672535 | + | 0.401033i | ||||
\(124\) | 4.36185 | − | 2.85966i | 0.391706 | − | 0.256805i | ||||
\(125\) | 4.50737 | + | 4.50737i | 0.403151 | + | 0.403151i | ||||
\(126\) | −12.9147 | + | 14.4645i | −1.15053 | + | 1.28860i | ||||
\(127\) | 9.97753 | 0.885363 | 0.442681 | − | 0.896679i | \(-0.354027\pi\) | ||||
0.442681 | + | 0.896679i | \(0.354027\pi\) | |||||||
\(128\) | −11.2910 | − | 0.715926i | −0.997996 | − | 0.0632795i | ||||
\(129\) | −3.35247 | + | 3.44834i | −0.295168 | + | 0.303609i | ||||
\(130\) | 0.313752 | − | 0.0936801i | 0.0275179 | − | 0.00821629i | ||||
\(131\) | 0.00991124 | − | 0.00265571i | 0.000865949 | − | 0.000232030i | −0.258386 | − | 0.966042i | \(-0.583191\pi\) |
0.259252 | + | 0.965810i | \(0.416524\pi\) | |||||||
\(132\) | −7.18771 | + | 2.48289i | −0.625610 | + | 0.216108i | ||||
\(133\) | 17.4228 | + | 4.66843i | 1.51075 | + | 0.404804i | ||||
\(134\) | 0.184856 | + | 6.51783i | 0.0159691 | + | 0.563054i | ||||
\(135\) | −5.35618 | − | 17.0677i | −0.460986 | − | 1.46895i | ||||
\(136\) | 0.0173682 | − | 0.0206062i | 0.00148932 | − | 0.00176697i | ||||
\(137\) | −4.04634 | + | 2.33615i | −0.345702 | + | 0.199591i | −0.662791 | − | 0.748805i | \(-0.730628\pi\) |
0.317089 | + | 0.948396i | \(0.397295\pi\) | |||||||
\(138\) | 4.08371 | + | 13.0055i | 0.347629 | + | 1.10710i | ||||
\(139\) | −1.58135 | − | 5.90168i | −0.134128 | − | 0.500574i | −1.00000 | 0.000307450i | \(-0.999902\pi\) | |
0.865872 | − | 0.500266i | \(-0.166765\pi\) | |||||||
\(140\) | 9.85448 | + | 29.8862i | 0.832855 | + | 2.52584i | ||||
\(141\) | 9.62882 | − | 0.135736i | 0.810893 | − | 0.0114311i | ||||
\(142\) | 9.92949 | + | 2.36104i | 0.833264 | + | 0.198134i | ||||
\(143\) | 0.147640 | 0.0123463 | ||||||||
\(144\) | 4.47323 | − | 11.1351i | 0.372769 | − | 0.927924i | ||||
\(145\) | −4.57282 | −0.379752 | ||||||||
\(146\) | −9.61929 | − | 2.28728i | −0.796098 | − | 0.189297i | ||||
\(147\) | 12.3211 | + | 20.6626i | 1.01623 | + | 1.70422i | ||||
\(148\) | 8.93284 | − | 2.94546i | 0.734275 | − | 0.242115i | ||||
\(149\) | −1.80845 | − | 6.74921i | −0.148154 | − | 0.552917i | −0.999595 | − | 0.0284668i | \(-0.990938\pi\) |
0.851441 | − | 0.524450i | \(-0.175729\pi\) | |||||||
\(150\) | −16.3808 | − | 3.65188i | −1.33749 | − | 0.298175i | ||||
\(151\) | −11.7804 | + | 6.80144i | −0.958679 | + | 0.553494i | −0.895766 | − | 0.444525i | \(-0.853372\pi\) |
−0.0629127 | + | 0.998019i | \(0.520039\pi\) | |||||||
\(152\) | −11.1220 | + | 0.948346i | −0.902113 | + | 0.0769210i | ||||
\(153\) | 0.0149842 | + | 0.0243420i | 0.00121140 | + | 0.00196793i | ||||
\(154\) | 0.402265 | + | 14.1835i | 0.0324154 | + | 1.14294i | ||||
\(155\) | 8.67190 | + | 2.32363i | 0.696544 | + | 0.186638i | ||||
\(156\) | −0.152674 | + | 0.175983i | −0.0122237 | + | 0.0140899i | ||||
\(157\) | −16.8278 | + | 4.50899i | −1.34300 | + | 0.359857i | −0.857548 | − | 0.514404i | \(-0.828013\pi\) |
−0.485456 | + | 0.874261i | \(0.661347\pi\) | |||||||
\(158\) | 18.6094 | − | 5.55639i | 1.48048 | − | 0.442043i | ||||
\(159\) | 1.20152 | + | 4.24392i | 0.0952867 | + | 0.336565i | ||||
\(160\) | −12.0225 | − | 15.3203i | −0.950461 | − | 1.21118i | ||||
\(161\) | 25.4352 | 2.00457 | ||||||||
\(162\) | 9.72943 | + | 8.20598i | 0.764417 | + | 0.644723i | ||||
\(163\) | −8.11902 | − | 8.11902i | −0.635930 | − | 0.635930i | 0.313619 | − | 0.949549i | \(-0.398459\pi\) |
−0.949549 | + | 0.313619i | \(0.898459\pi\) | |||||||
\(164\) | −5.49796 | − | 8.38606i | −0.429318 | − | 0.654841i | ||||
\(165\) | −11.4271 | − | 6.38438i | −0.889597 | − | 0.497024i | ||||
\(166\) | 15.2917 | + | 8.25971i | 1.18686 | + | 0.641077i | ||||
\(167\) | −9.28313 | − | 5.35962i | −0.718350 | − | 0.414740i | 0.0957949 | − | 0.995401i | \(-0.469461\pi\) |
−0.814145 | + | 0.580661i | \(0.802794\pi\) | |||||||
\(168\) | −17.3223 | − | 14.1875i | −1.33644 | − | 1.09459i | ||||
\(169\) | −11.2544 | + | 6.49774i | −0.865724 | + | 0.499826i | ||||
\(170\) | 0.0463697 | − | 0.00131512i | 0.00355639 | − | 0.000100865i | ||||
\(171\) | 2.74070 | − | 11.5179i | 0.209587 | − | 0.880794i | ||||
\(172\) | −4.14309 | − | 3.69796i | −0.315907 | − | 0.281967i | ||||
\(173\) | 1.54842 | − | 5.77879i | 0.117724 | − | 0.439353i | −0.881752 | − | 0.471713i | \(-0.843636\pi\) |
0.999476 | + | 0.0323603i | \(0.0103024\pi\) | |||||||
\(174\) | 2.74617 | − | 1.74494i | 0.208187 | − | 0.132283i | ||||
\(175\) | −15.6576 | + | 27.1198i | −1.18361 | + | 2.05007i | ||||
\(176\) | −3.21795 | − | 8.16999i | −0.242562 | − | 0.615836i | ||||
\(177\) | 0.384341 | + | 0.0971988i | 0.0288889 | + | 0.00730591i | ||||
\(178\) | −3.13842 | − | 0.746255i | −0.235234 | − | 0.0559341i | ||||
\(179\) | −1.39609 | − | 1.39609i | −0.104349 | − | 0.104349i | 0.653005 | − | 0.757354i | \(-0.273508\pi\) |
−0.757354 | + | 0.653005i | \(0.773508\pi\) | |||||||
\(180\) | 19.4267 | − | 7.01871i | 1.44798 | − | 0.523144i | ||||
\(181\) | 1.82587 | − | 1.82587i | 0.135716 | − | 0.135716i | −0.635985 | − | 0.771701i | \(-0.719406\pi\) |
0.771701 | + | 0.635985i | \(0.219406\pi\) | |||||||
\(182\) | 0.227944 | + | 0.370162i | 0.0168963 | + | 0.0274382i | ||||
\(183\) | 13.9944 | + | 13.6053i | 1.03450 | + | 1.00573i | ||||
\(184\) | −14.8030 | + | 5.35091i | −1.09129 | + | 0.394475i | ||||
\(185\) | 14.0214 | + | 8.09525i | 1.03087 | + | 0.595174i | ||||
\(186\) | −6.09451 | + | 1.91366i | −0.446871 | + | 0.140317i | ||||
\(187\) | 0.0202035 | + | 0.00541352i | 0.00147743 | + | 0.000395876i | ||||
\(188\) | 0.630226 | + | 11.1016i | 0.0459640 | + | 0.809670i | ||||
\(189\) | 20.0469 | − | 12.7334i | 1.45819 | − | 0.926216i | ||||
\(190\) | −13.9660 | − | 13.1956i | −1.01320 | − | 0.957311i | ||||
\(191\) | 5.22560 | + | 9.05100i | 0.378111 | + | 0.654907i | 0.990787 | − | 0.135426i | \(-0.0432404\pi\) |
−0.612676 | + | 0.790334i | \(0.709907\pi\) | |||||||
\(192\) | 13.0661 | + | 4.61282i | 0.942962 | + | 0.332902i | ||||
\(193\) | −12.0468 | + | 20.8657i | −0.867150 | + | 1.50195i | −0.00225418 | + | 0.999997i | \(0.500718\pi\) |
−0.864896 | + | 0.501951i | \(0.832616\pi\) | |||||||
\(194\) | −12.7129 | + | 3.79582i | −0.912735 | + | 0.272524i | ||||
\(195\) | −0.400990 | + | 0.00565270i | −0.0287155 | + | 0.000404798i | ||||
\(196\) | −23.2313 | + | 15.2306i | −1.65938 | + | 1.08790i | ||||
\(197\) | 11.7435 | − | 11.7435i | 0.836687 | − | 0.836687i | −0.151735 | − | 0.988421i | \(-0.548486\pi\) |
0.988421 | + | 0.151735i | \(0.0484859\pi\) | |||||||
\(198\) | 9.29865 | − | 0.526361i | 0.660826 | − | 0.0374068i | ||||
\(199\) | − | 8.85458i | − | 0.627684i | −0.949475 | − | 0.313842i | \(-0.898384\pi\) | ||
0.949475 | − | 0.313842i | \(-0.101616\pi\) | |||||||
\(200\) | 3.40724 | − | 19.0774i | 0.240929 | − | 1.34898i | ||||
\(201\) | 1.95796 | − | 7.74214i | 0.138104 | − | 0.546088i | ||||
\(202\) | 12.0837 | − | 22.3713i | 0.850207 | − | 1.57404i | ||||
\(203\) | −1.57129 | − | 5.86412i | −0.110283 | − | 0.411581i | ||||
\(204\) | −0.0273451 | + | 0.0184839i | −0.00191454 | + | 0.00129413i | ||||
\(205\) | 4.46739 | − | 16.6725i | 0.312016 | − | 1.16446i | ||||
\(206\) | −5.66706 | + | 5.99790i | −0.394843 | + | 0.417893i | ||||
\(207\) | −0.470607 | − | 16.6886i | −0.0327094 | − | 1.15994i | ||||
\(208\) | −0.210533 | − | 0.167476i | −0.0145979 | − | 0.0116124i | ||||
\(209\) | −4.33171 | − | 7.50274i | −0.299631 | − | 0.518975i | ||||
\(210\) | −1.63559 | − | 38.5067i | −0.112866 | − | 2.65722i | ||||
\(211\) | 23.0465 | − | 6.17529i | 1.58659 | − | 0.425125i | 0.645630 | − | 0.763651i | \(-0.276595\pi\) |
0.940957 | + | 0.338526i | \(0.109928\pi\) | |||||||
\(212\) | −4.83691 | + | 1.59489i | −0.332200 | + | 0.109538i | ||||
\(213\) | −10.9125 | − | 6.09687i | −0.747710 | − | 0.417750i | ||||
\(214\) | 11.9482 | + | 19.4029i | 0.816761 | + | 1.32635i | ||||
\(215\) | − | 9.55909i | − | 0.651924i | ||||||
\(216\) | −8.98827 | + | 11.6280i | −0.611574 | + | 0.791187i | ||||
\(217\) | 11.9191i | 0.809125i | ||||||||
\(218\) | 20.3108 | − | 12.5073i | 1.37562 | − | 0.847100i | ||||
\(219\) | 10.5716 | + | 5.90640i | 0.714360 | + | 0.399117i | ||||
\(220\) | 6.80327 | − | 13.4969i | 0.458676 | − | 0.909962i | ||||
\(221\) | 0.000618979 | 0 | 0.000165855i | 4.16370e−5 | 0 | 1.11566e-5i | ||||
\(222\) | −11.5095 | + | 0.488870i | −0.772466 | + | 0.0328108i | ||||
\(223\) | −9.55369 | − | 16.5475i | −0.639762 | − | 1.10810i | −0.985485 | − | 0.169764i | \(-0.945699\pi\) |
0.345722 | − | 0.938337i | \(-0.387634\pi\) | |||||||
\(224\) | 15.5154 | − | 20.6817i | 1.03667 | − | 1.38186i | ||||
\(225\) | 18.0836 | + | 9.77155i | 1.20558 | + | 0.651437i | ||||
\(226\) | 5.87242 | + | 5.54851i | 0.390628 | + | 0.369081i | ||||
\(227\) | 0.0209838 | − | 0.0783128i | 0.00139275 | − | 0.00519780i | −0.965226 | − | 0.261417i | \(-0.915810\pi\) |
0.966619 | + | 0.256219i | \(0.0824769\pi\) | |||||||
\(228\) | 13.4224 | + | 2.59526i | 0.888923 | + | 0.171875i | ||||
\(229\) | 0.909725 | + | 3.39514i | 0.0601163 | + | 0.224357i | 0.989448 | − | 0.144889i | \(-0.0462825\pi\) |
−0.929332 | + | 0.369246i | \(0.879616\pi\) | |||||||
\(230\) | −23.8388 | − | 12.8764i | −1.57188 | − | 0.849044i | ||||
\(231\) | 4.26073 | − | 16.8477i | 0.280336 | − | 1.10850i | ||||
\(232\) | 2.14813 | + | 3.08229i | 0.141032 | + | 0.202363i | ||||
\(233\) | 27.7645i | 1.81891i | 0.415798 | + | 0.909457i | \(0.363502\pi\) | ||||
−0.415798 | + | 0.909457i | \(0.636498\pi\) | |||||||
\(234\) | 0.238654 | − | 0.156408i | 0.0156013 | − | 0.0102247i | ||||
\(235\) | −13.5341 | + | 13.5341i | −0.882867 | + | 0.882867i | ||||
\(236\) | −0.0932282 | + | 0.448177i | −0.00606864 | + | 0.0291739i | ||||
\(237\) | −23.7837 | + | 0.335275i | −1.54491 | + | 0.0217785i | ||||
\(238\) | 0.0176198 | + | 0.0590119i | 0.00114212 | + | 0.00382517i | ||||
\(239\) | −2.56538 | + | 4.44336i | −0.165940 | + | 0.287417i | −0.936989 | − | 0.349359i | \(-0.886399\pi\) |
0.771048 | + | 0.636776i | \(0.219733\pi\) | |||||||
\(240\) | 9.05273 | + | 22.0664i | 0.584351 | + | 1.42438i | ||||
\(241\) | 0.729827 | + | 1.26410i | 0.0470123 | + | 0.0814277i | 0.888574 | − | 0.458733i | \(-0.151697\pi\) |
−0.841562 | + | 0.540161i | \(0.818363\pi\) | |||||||
\(242\) | −6.00329 | + | 6.35375i | −0.385906 | + | 0.408435i | ||||
\(243\) | −8.72557 | − | 12.9176i | −0.559745 | − | 0.828665i | ||||
\(244\) | −15.0074 | + | 16.8139i | −0.960753 | + | 1.07640i | ||||
\(245\) | −46.1868 | − | 12.3757i | −2.95076 | − | 0.790655i | ||||
\(246\) | 3.67919 | + | 11.7172i | 0.234577 | + | 0.747064i | ||||
\(247\) | −0.229863 | − | 0.132711i | −0.0146258 | − | 0.00844422i | ||||
\(248\) | −2.50749 | − | 6.93681i | −0.159226 | − | 0.440488i | ||||
\(249\) | −15.2620 | − | 14.8377i | −0.967191 | − | 0.940302i | ||||
\(250\) | 7.67607 | − | 4.72689i | 0.485477 | − | 0.298955i | ||||
\(251\) | 0.191647 | − | 0.191647i | 0.0120967 | − | 0.0120967i | −0.701033 | − | 0.713129i | \(-0.747277\pi\) |
0.713129 | + | 0.701033i | \(0.247277\pi\) | |||||||
\(252\) | 15.6760 | + | 22.5008i | 0.987493 | + | 1.41741i | ||||
\(253\) | −8.63842 | − | 8.63842i | −0.543093 | − | 0.543093i | ||||
\(254\) | 3.26416 | − | 13.7276i | 0.204812 | − | 0.861347i | ||||
\(255\) | −0.0550798 | − | 0.0139295i | −0.00344923 | − | 0.000872300i | ||||
\(256\) | −4.67889 | + | 15.3006i | −0.292430 | + | 0.956287i | ||||
\(257\) | −15.8433 | + | 27.4414i | −0.988278 | + | 1.71175i | −0.361925 | + | 0.932207i | \(0.617880\pi\) |
−0.626353 | + | 0.779540i | \(0.715453\pi\) | |||||||
\(258\) | 3.64764 | + | 5.74063i | 0.227092 | + | 0.357396i | ||||
\(259\) | −5.56328 | + | 20.7625i | −0.345686 | + | 1.29012i | ||||
\(260\) | −0.0262456 | − | 0.462325i | −0.00162768 | − | 0.0286722i | ||||
\(261\) | −3.81851 | + | 1.13946i | −0.236360 | + | 0.0705306i | ||||
\(262\) | −0.000411391 | − | 0.0145052i | −2.54158e−5 | − | 0.000896136i | ||||
\(263\) | −10.2637 | + | 5.92574i | −0.632886 | + | 0.365397i | −0.781869 | − | 0.623443i | \(-0.785733\pi\) |
0.148983 | + | 0.988840i | \(0.452400\pi\) | |||||||
\(264\) | 1.06463 | + | 10.7015i | 0.0655234 | + | 0.658633i | ||||
\(265\) | −7.59222 | − | 4.38337i | −0.466386 | − | 0.269268i | ||||
\(266\) | 12.1230 | − | 22.4440i | 0.743307 | − | 1.37613i | ||||
\(267\) | 3.44911 | + | 1.92704i | 0.211082 | + | 0.117933i | ||||
\(268\) | 9.02805 | + | 1.87798i | 0.551476 | + | 0.114716i | ||||
\(269\) | 4.40442 | + | 4.40442i | 0.268542 | + | 0.268542i | 0.828513 | − | 0.559970i | \(-0.189187\pi\) |
−0.559970 | + | 0.828513i | \(0.689187\pi\) | |||||||
\(270\) | −25.2349 | + | 1.78561i | −1.53575 | + | 0.108669i | ||||
\(271\) | −5.01359 | −0.304554 | −0.152277 | − | 0.988338i | \(-0.548661\pi\) | ||||
−0.152277 | + | 0.988338i | \(0.548661\pi\) | |||||||
\(272\) | −0.0226691 | − | 0.0306375i | −0.00137452 | − | 0.00185767i | ||||
\(273\) | −0.145035 | − | 0.512281i | −0.00877790 | − | 0.0310047i | ||||
\(274\) | 1.89044 | + | 6.33144i | 0.114206 | + | 0.382497i | ||||
\(275\) | 14.5283 | − | 3.89285i | 0.876089 | − | 0.234747i | ||||
\(276\) | 19.2297 | − | 1.36381i | 1.15749 | − | 0.0820920i | ||||
\(277\) | 6.74690 | + | 1.80783i | 0.405382 | + | 0.108622i | 0.455747 | − | 0.890109i | \(-0.349372\pi\) |
−0.0503657 | + | 0.998731i | \(0.516039\pi\) | |||||||
\(278\) | −8.63718 | + | 0.244964i | −0.518024 | + | 0.0146920i | ||||
\(279\) | 7.82043 | − | 0.220531i | 0.468197 | − | 0.0132028i | ||||
\(280\) | 44.3429 | − | 3.78101i | 2.65000 | − | 0.225959i | ||||
\(281\) | 15.4222 | − | 8.90401i | 0.920011 | − | 0.531169i | 0.0363725 | − | 0.999338i | \(-0.488420\pi\) |
0.883639 | + | 0.468170i | \(0.155086\pi\) | |||||||
\(282\) | 2.96333 | − | 13.2923i | 0.176464 | − | 0.791542i | ||||
\(283\) | −3.28490 | − | 12.2594i | −0.195267 | − | 0.728746i | −0.992198 | − | 0.124675i | \(-0.960211\pi\) |
0.796931 | − | 0.604071i | \(-0.206456\pi\) | |||||||
\(284\) | 6.49689 | − | 12.8891i | 0.385519 | − | 0.764827i | ||||
\(285\) | 12.0521 | + | 20.2115i | 0.713906 | + | 1.19723i | ||||
\(286\) | 0.0483008 | − | 0.203132i | 0.00285608 | − | 0.0120114i | ||||
\(287\) | 22.9156 | 1.35267 | ||||||||
\(288\) | −13.8568 | − | 9.79736i | −0.816521 | − | 0.577315i | ||||
\(289\) | −16.9999 | −0.999995 | ||||||||
\(290\) | −1.49600 | + | 6.29153i | −0.0878484 | + | 0.369452i | ||||
\(291\) | 16.2477 | − | 0.229042i | 0.952457 | − | 0.0134267i | ||||
\(292\) | −6.29392 | + | 12.4864i | −0.368324 | + | 0.730714i | ||||
\(293\) | −3.50375 | − | 13.0762i | −0.204691 | − | 0.763918i | −0.989543 | − | 0.144235i | \(-0.953928\pi\) |
0.784852 | − | 0.619683i | \(-0.212739\pi\) | |||||||
\(294\) | 32.4595 | − | 10.1922i | 1.89308 | − | 0.594423i | ||||
\(295\) | −0.682398 | + | 0.393983i | −0.0397307 | + | 0.0229386i | ||||
\(296\) | −1.13013 | − | 13.2539i | −0.0656873 | − | 0.770367i | ||||
\(297\) | −11.1330 | − | 2.48384i | −0.646001 | − | 0.144127i | ||||
\(298\) | −9.87756 | + | 0.280143i | −0.572192 | + | 0.0162282i | ||||
\(299\) | −0.361528 | − | 0.0968711i | −0.0209077 | − | 0.00560220i | ||||
\(300\) | −10.3835 | + | 21.3429i | −0.599489 | + | 1.23223i | ||||
\(301\) | 12.2584 | − | 3.28464i | 0.706565 | − | 0.189323i | ||||
\(302\) | 5.50380 | + | 18.4333i | 0.316708 | + | 1.06072i | ||||
\(303\) | −21.7071 | + | 22.3279i | −1.24704 | + | 1.28270i | ||||
\(304\) | −2.33379 | + | 15.6125i | −0.133852 | + | 0.895438i | ||||
\(305\) | −38.7937 | −2.22132 | ||||||||
\(306\) | 0.0383931 | − | 0.0126526i | 0.00219479 | − | 0.000723300i | ||||
\(307\) | 3.28894 | + | 3.28894i | 0.187710 | + | 0.187710i | 0.794705 | − | 0.606995i | \(-0.207625\pi\) |
−0.606995 | + | 0.794705i | \(0.707625\pi\) | |||||||
\(308\) | 19.6460 | + | 4.08668i | 1.11943 | + | 0.232860i | ||||
\(309\) | 8.68014 | − | 5.17597i | 0.493796 | − | 0.294451i | ||||
\(310\) | 6.03399 | − | 11.1711i | 0.342708 | − | 0.634475i | ||||
\(311\) | 21.8951 | + | 12.6412i | 1.24156 | + | 0.716814i | 0.969411 | − | 0.245442i | \(-0.0789330\pi\) |
0.272147 | + | 0.962256i | \(0.412266\pi\) | |||||||
\(312\) | 0.192180 | + | 0.267630i | 0.0108800 | + | 0.0151516i | ||||
\(313\) | 3.90504 | − | 2.25458i | 0.220726 | − | 0.127436i | −0.385560 | − | 0.922683i | \(-0.625992\pi\) |
0.606286 | + | 0.795246i | \(0.292659\pi\) | |||||||
\(314\) | 0.698480 | + | 24.6277i | 0.0394175 | + | 1.38982i | ||||
\(315\) | −10.9271 | + | 45.9213i | −0.615670 | + | 2.58737i | ||||
\(316\) | −1.55669 | − | 27.4216i | −0.0875706 | − | 1.54258i | ||||
\(317\) | 0.703963 | − | 2.62723i | 0.0395385 | − | 0.147560i | −0.943335 | − | 0.331843i | \(-0.892330\pi\) |
0.982873 | + | 0.184283i | \(0.0589963\pi\) | |||||||
\(318\) | 6.23209 | − | 0.264710i | 0.349478 | − | 0.0148442i | ||||
\(319\) | −1.45795 | + | 2.52525i | −0.0816298 | + | 0.141387i | ||||
\(320\) | −25.0116 | + | 11.5291i | −1.39819 | + | 0.644498i | ||||
\(321\) | −7.60232 | − | 26.8524i | −0.424320 | − | 1.49875i | ||||
\(322\) | 8.32114 | − | 34.9950i | 0.463719 | − | 1.95020i | ||||
\(323\) | −0.0265889 | − | 0.0265889i | −0.00147945 | − | 0.00147945i | ||||
\(324\) | 14.4732 | − | 10.7017i | 0.804068 | − | 0.594538i | ||||
\(325\) | 0.325840 | − | 0.325840i | 0.0180744 | − | 0.0180744i | ||||
\(326\) | −13.8267 | + | 8.51443i | −0.765791 | + | 0.471571i | ||||
\(327\) | −28.1089 | + | 7.95806i | −1.55442 | + | 0.440082i | ||||
\(328\) | −13.3367 | + | 4.82087i | −0.736393 | + | 0.266188i | ||||
\(329\) | −22.0064 | − | 12.7054i | −1.21325 | − | 0.700473i | ||||
\(330\) | −12.5224 | + | 13.6333i | −0.689333 | + | 0.750490i | ||||
\(331\) | 30.0176 | + | 8.04319i | 1.64992 | + | 0.442094i | 0.959590 | − | 0.281403i | \(-0.0907998\pi\) |
0.690327 | + | 0.723497i | \(0.257466\pi\) | |||||||
\(332\) | 16.3668 | − | 18.3369i | 0.898247 | − | 1.00637i | ||||
\(333\) | 13.7257 | + | 3.26605i | 0.752161 | + | 0.178978i | ||||
\(334\) | −10.4110 | + | 11.0188i | −0.569667 | + | 0.602923i | ||||
\(335\) | 7.93635 | + | 13.7462i | 0.433609 | + | 0.751033i | ||||
\(336\) | −25.1870 | + | 19.1914i | −1.37406 | + | 1.04698i | ||||
\(337\) | 10.2176 | − | 17.6974i | 0.556587 | − | 0.964037i | −0.441191 | − | 0.897413i | \(-0.645444\pi\) |
0.997778 | − | 0.0666240i | \(-0.0212228\pi\) | |||||||
\(338\) | 5.25804 | + | 17.6102i | 0.286000 | + | 0.957867i | ||||
\(339\) | −5.06769 | − | 8.49855i | −0.275239 | − | 0.461578i | ||||
\(340\) | 0.0133605 | − | 0.0642281i | 0.000724574 | − | 0.00348326i | ||||
\(341\) | 4.04804 | − | 4.04804i | 0.219214 | − | 0.219214i | ||||
\(342\) | −14.9503 | − | 7.53889i | −0.808419 | − | 0.407657i | ||||
\(343\) | − | 31.4882i | − | 1.70020i | ||||||
\(344\) | −6.44327 | + | 4.49049i | −0.347398 | + | 0.242111i | ||||
\(345\) | 23.7926 | + | 23.1311i | 1.28095 | + | 1.24534i | ||||
\(346\) | −7.44419 | − | 4.02094i | −0.400202 | − | 0.216167i | ||||
\(347\) | 6.12452 | + | 22.8570i | 0.328782 | + | 1.22703i | 0.910455 | + | 0.413607i | \(0.135731\pi\) |
−0.581674 | + | 0.813422i | \(0.697602\pi\) | |||||||
\(348\) | −1.50237 | − | 4.34919i | −0.0805353 | − | 0.233141i | ||||
\(349\) | −4.67221 | + | 17.4369i | −0.250098 | + | 0.933378i | 0.720655 | + | 0.693294i | \(0.243841\pi\) |
−0.970752 | + | 0.240083i | \(0.922825\pi\) | |||||||
\(350\) | 32.1905 | + | 30.4149i | 1.72065 | + | 1.62574i | ||||
\(351\) | −0.333436 | + | 0.104639i | −0.0177975 | + | 0.00558521i | ||||
\(352\) | −12.2935 | + | 1.75461i | −0.655244 | + | 0.0935211i | ||||
\(353\) | −12.5772 | − | 21.7843i | −0.669415 | − | 1.15946i | −0.978068 | − | 0.208286i | \(-0.933212\pi\) |
0.308653 | − | 0.951175i | \(-0.400122\pi\) | |||||||
\(354\) | 0.259469 | − | 0.496998i | 0.0137906 | − | 0.0264152i | ||||
\(355\) | 23.9987 | − | 6.43043i | 1.27372 | − | 0.341292i | ||||
\(356\) | −2.05347 | + | 4.07386i | −0.108834 | + | 0.215914i | ||||
\(357\) | −0.00106318 | − | 0.0754199i | −5.62697e−5 | − | 0.00399165i | ||||
\(358\) | −2.37756 | + | 1.46409i | −0.125658 | + | 0.0773794i | ||||
\(359\) | − | 7.27780i | − | 0.384108i | −0.981384 | − | 0.192054i | \(-0.938485\pi\) | ||
0.981384 | − | 0.192054i | \(-0.0615148\pi\) | |||||||
\(360\) | −3.30125 | − | 29.0244i | −0.173991 | − | 1.52972i | ||||
\(361\) | − | 3.42522i | − | 0.180275i | ||||||
\(362\) | −1.91480 | − | 3.10947i | −0.100640 | − | 0.163430i | ||||
\(363\) | 9.19513 | − | 5.48306i | 0.482619 | − | 0.287786i | ||||
\(364\) | 0.583860 | − | 0.192518i | 0.0306026 | − | 0.0100907i | ||||
\(365\) | −23.2489 | + | 6.22954i | −1.21691 | + | 0.326069i | ||||
\(366\) | 23.2972 | − | 14.8032i | 1.21777 | − | 0.773777i | ||||
\(367\) | −8.64087 | − | 14.9664i | −0.451050 | − | 0.781241i | 0.547402 | − | 0.836870i | \(-0.315617\pi\) |
−0.998452 | + | 0.0556291i | \(0.982284\pi\) | |||||||
\(368\) | 2.51926 | + | 22.1173i | 0.131325 | + | 1.15294i | ||||
\(369\) | −0.423991 | − | 15.0355i | −0.0220721 | − | 0.782716i | ||||
\(370\) | 15.7250 | − | 16.6430i | 0.817503 | − | 0.865228i | ||||
\(371\) | 3.01238 | − | 11.2423i | 0.156395 | − | 0.583673i | ||||
\(372\) | 0.639096 | + | 9.01120i | 0.0331356 | + | 0.467209i | ||||
\(373\) | −1.30256 | − | 4.86123i | −0.0674441 | − | 0.251705i | 0.923970 | − | 0.382465i | \(-0.124925\pi\) |
−0.991414 | + | 0.130760i | \(0.958258\pi\) | |||||||
\(374\) | 0.0140578 | − | 0.0260260i | 0.000726912 | − | 0.00134577i | ||||
\(375\) | −10.6232 | + | 3.00760i | −0.548580 | + | 0.155312i | ||||
\(376\) | 15.4804 | + | 2.76482i | 0.798341 | + | 0.142584i | ||||
\(377\) | 0.0893352i | 0.00460100i | ||||||||
\(378\) | −10.9609 | − | 31.7473i | −0.563768 | − | 1.63290i | ||||
\(379\) | −15.2370 | + | 15.2370i | −0.782672 | + | 0.782672i | −0.980281 | − | 0.197609i | \(-0.936682\pi\) |
0.197609 | + | 0.980281i | \(0.436682\pi\) | |||||||
\(380\) | −22.7242 | + | 14.8982i | −1.16573 | + | 0.764259i | ||||
\(381\) | −8.42898 | + | 15.0866i | −0.431830 | + | 0.772910i | ||||
\(382\) | 14.1624 | − | 4.22861i | 0.724612 | − | 0.216354i | ||||
\(383\) | 13.3638 | − | 23.1468i | 0.682859 | − | 1.18275i | −0.291245 | − | 0.956649i | \(-0.594069\pi\) |
0.974104 | − | 0.226099i | \(-0.0725972\pi\) | |||||||
\(384\) | 10.6211 | − | 16.4679i | 0.542008 | − | 0.840373i | ||||
\(385\) | 17.2703 | + | 29.9131i | 0.880177 | + | 1.52451i | ||||
\(386\) | 24.7670 | + | 23.4009i | 1.26061 | + | 1.19108i | ||||
\(387\) | −2.38193 | − | 7.98227i | −0.121081 | − | 0.405761i | ||||
\(388\) | 1.06345 | + | 18.7329i | 0.0539883 | + | 0.951021i | ||||
\(389\) | 20.4430 | + | 5.47767i | 1.03650 | + | 0.277729i | 0.736662 | − | 0.676261i | \(-0.236401\pi\) |
0.299837 | + | 0.953990i | \(0.403068\pi\) | |||||||
\(390\) | −0.123407 | + | 0.553552i | −0.00624896 | + | 0.0280302i | ||||
\(391\) | −0.0459205 | − | 0.0265122i | −0.00232230 | − | 0.00134078i | ||||
\(392\) | 13.3549 | + | 36.9456i | 0.674527 | + | 1.86604i | ||||
\(393\) | −0.00435739 | + | 0.0172299i | −0.000219801 | + | 0.000869134i | ||||
\(394\) | −12.3154 | − | 19.9992i | −0.620440 | − | 1.00754i | ||||
\(395\) | 33.4299 | − | 33.4299i | 1.68204 | − | 1.68204i | ||||
\(396\) | 2.31787 | − | 12.9658i | 0.116477 | − | 0.651555i | ||||
\(397\) | 18.8537 | + | 18.8537i | 0.946242 | + | 0.946242i | 0.998627 | − | 0.0523851i | \(-0.0166823\pi\) |
−0.0523851 | + | 0.998627i | \(0.516682\pi\) | |||||||
\(398\) | −12.1826 | − | 2.89679i | −0.610659 | − | 0.145203i | ||||
\(399\) | −21.7777 | + | 22.4004i | −1.09025 | + | 1.12142i | ||||
\(400\) | −25.1330 | − | 10.9291i | −1.25665 | − | 0.546453i | ||||
\(401\) | 2.65035 | − | 4.59054i | 0.132352 | − | 0.229241i | −0.792231 | − | 0.610222i | \(-0.791080\pi\) |
0.924583 | + | 0.380981i | \(0.124414\pi\) | |||||||
\(402\) | −10.0115 | − | 5.22672i | −0.499328 | − | 0.260685i | ||||
\(403\) | 0.0453947 | − | 0.169415i | 0.00226127 | − | 0.00843918i | ||||
\(404\) | −26.8264 | − | 23.9442i | −1.33466 | − | 1.19127i | ||||
\(405\) | 30.3322 | + | 6.31984i | 1.50722 | + | 0.314035i | ||||
\(406\) | −8.58222 | + | 0.243405i | −0.425928 | + | 0.0120800i | ||||
\(407\) | 8.94088 | − | 5.16202i | 0.443183 | − | 0.255872i | ||||
\(408\) | 0.0164852 | + | 0.0436699i | 0.000816139 | + | 0.00216198i | ||||
\(409\) | 22.2531 | + | 12.8479i | 1.10035 | + | 0.635285i | 0.936312 | − | 0.351169i | \(-0.114216\pi\) |
0.164035 | + | 0.986455i | \(0.447549\pi\) | |||||||
\(410\) | −21.4774 | − | 11.6009i | −1.06069 | − | 0.572928i | ||||
\(411\) | −0.114070 | − | 8.09187i | −0.00562666 | − | 0.399143i | ||||
\(412\) | 6.39824 | + | 9.75926i | 0.315219 | + | 0.480804i | ||||
\(413\) | −0.739719 | − | 0.739719i | −0.0363992 | − | 0.0363992i | ||||
\(414\) | −23.1150 | − | 4.81221i | −1.13604 | − | 0.236507i | ||||
\(415\) | 42.3076 | 2.07680 | ||||||||
\(416\) | −0.299299 | + | 0.234873i | −0.0146743 | + | 0.0115156i | ||||
\(417\) | 10.2596 | + | 2.59462i | 0.502415 | + | 0.127059i | ||||
\(418\) | −11.7398 | + | 3.50527i | −0.574212 | + | 0.171448i | ||||
\(419\) | −36.1400 | + | 9.68369i | −1.76556 | + | 0.473079i | −0.987832 | − | 0.155528i | \(-0.950292\pi\) |
−0.777723 | + | 0.628607i | \(0.783626\pi\) | |||||||
\(420\) | −53.5147 | − | 10.3472i | −2.61125 | − | 0.504891i | ||||
\(421\) | −16.3097 | − | 4.37016i | −0.794885 | − | 0.212989i | −0.161548 | − | 0.986865i | \(-0.551649\pi\) |
−0.633337 | + | 0.773876i | \(0.718315\pi\) | |||||||
\(422\) | −0.956602 | − | 33.7289i | −0.0465667 | − | 1.64190i | ||||
\(423\) | −7.92915 | + | 14.6740i | −0.385529 | + | 0.713475i | ||||
\(424\) | 0.611935 | + | 7.17665i | 0.0297182 | + | 0.348529i | ||||
\(425\) | 0.0565364 | − | 0.0326413i | 0.00274242 | − | 0.00158334i | ||||
\(426\) | −11.9584 | + | 13.0194i | −0.579388 | + | 0.630790i | ||||
\(427\) | −13.3301 | − | 49.7484i | −0.645087 | − | 2.40750i | ||||
\(428\) | 30.6043 | − | 10.0913i | 1.47932 | − | 0.487780i | ||||
\(429\) | −0.124726 | + | 0.223241i | −0.00602183 | + | 0.0107782i | ||||
\(430\) | −13.1519 | − | 3.12727i | −0.634241 | − | 0.150810i | ||||
\(431\) | −35.2704 | −1.69891 | −0.849457 | − | 0.527658i | \(-0.823070\pi\) | ||||
−0.849457 | + | 0.527658i | \(0.823070\pi\) | |||||||
\(432\) | 13.0579 | + | 16.1707i | 0.628250 | + | 0.778011i | ||||
\(433\) | 40.6920 | 1.95553 | 0.977766 | − | 0.209700i | \(-0.0672488\pi\) | ||||
0.977766 | + | 0.209700i | \(0.0672488\pi\) | |||||||
\(434\) | 16.3990 | + | 3.89936i | 0.787177 | + | 0.187176i | ||||
\(435\) | 3.86310 | − | 6.91437i | 0.185222 | − | 0.331519i | ||||
\(436\) | −10.5635 | − | 32.0364i | −0.505899 | − | 1.53427i | ||||
\(437\) | 5.68431 | + | 21.2142i | 0.271918 | + | 1.01481i | ||||
\(438\) | 11.5848 | − | 12.6126i | 0.553545 | − | 0.602655i | ||||
\(439\) | −11.7973 | + | 6.81118i | −0.563055 | + | 0.325080i | −0.754371 | − | 0.656449i | \(-0.772058\pi\) |
0.191316 | + | 0.981529i | \(0.438725\pi\) | |||||||
\(440\) | −16.3441 | − | 13.7758i | −0.779174 | − | 0.656737i | ||||
\(441\) | −41.6518 | + | 1.17455i | −1.98342 | + | 0.0559311i | ||||
\(442\) | −2.56923e−5 | 0 | 0.000905884i | −1.22206e−6 | 0 | 4.30885e-5i | ||||
\(443\) | 9.75367 | + | 2.61349i | 0.463411 | + | 0.124171i | 0.482968 | − | 0.875638i | \(-0.339559\pi\) |
−0.0195569 | + | 0.999809i | \(0.506226\pi\) | |||||||
\(444\) | −3.09273 | + | 15.9953i | −0.146774 | + | 0.759103i | ||||
\(445\) | −7.58527 | + | 2.03247i | −0.359576 | + | 0.0963481i | ||||
\(446\) | −25.8924 | + | 7.73095i | −1.22604 | + | 0.366071i | ||||
\(447\) | 11.7330 | + | 2.96723i | 0.554950 | + | 0.140345i | ||||
\(448\) | −23.3791 | − | 28.1130i | −1.10456 | − | 1.32821i | ||||
\(449\) | −5.23717 | −0.247158 | −0.123579 | − | 0.992335i | \(-0.539437\pi\) | ||||
−0.123579 | + | 0.992335i | \(0.539437\pi\) | |||||||
\(450\) | 19.3603 | − | 21.6836i | 0.912654 | − | 1.02218i | ||||
\(451\) | −7.78273 | − | 7.78273i | −0.366474 | − | 0.366474i | ||||
\(452\) | 9.55510 | − | 6.26439i | 0.449434 | − | 0.294652i | ||||
\(453\) | −0.332102 | − | 23.5585i | −0.0156035 | − | 1.10688i | ||||
\(454\) | −0.100882 | − | 0.0544908i | −0.00473463 | − | 0.00255738i | ||||
\(455\) | 0.916453 | + | 0.529114i | 0.0429640 | + | 0.0248053i | ||||
\(456\) | 7.96187 | − | 17.6183i | 0.372849 | − | 0.825051i | ||||
\(457\) | 3.03428 | − | 1.75184i | 0.141938 | − | 0.0819477i | −0.427349 | − | 0.904087i | \(-0.640553\pi\) |
0.569287 | + | 0.822139i | \(0.307219\pi\) | |||||||
\(458\) | 4.96883 | − | 0.140924i | 0.232178 | − | 0.00658493i | ||||
\(459\) | −0.0494651 | + | 0.00209302i | −0.00230883 | + | 9.76936e-5i | ||||
\(460\) | −25.5149 | + | 28.5862i | −1.18964 | + | 1.33284i | ||||
\(461\) | 8.60429 | − | 32.1116i | 0.400742 | − | 1.49559i | −0.411035 | − | 0.911620i | \(-0.634833\pi\) |
0.811777 | − | 0.583968i | \(-0.198501\pi\) | |||||||
\(462\) | −21.7860 | − | 11.3739i | −1.01358 | − | 0.529161i | ||||
\(463\) | 14.6805 | − | 25.4274i | 0.682261 | − | 1.18171i | −0.292028 | − | 0.956410i | \(-0.594330\pi\) |
0.974289 | − | 0.225301i | \(-0.0723366\pi\) | |||||||
\(464\) | 4.94355 | − | 1.94714i | 0.229498 | − | 0.0903937i | ||||
\(465\) | −10.8394 | + | 11.1494i | −0.502667 | + | 0.517042i | ||||
\(466\) | 38.1999 | + | 9.08320i | 1.76958 | + | 0.420771i | ||||
\(467\) | 7.90699 | + | 7.90699i | 0.365892 | + | 0.365892i | 0.865977 | − | 0.500085i | \(-0.166698\pi\) |
−0.500085 | + | 0.865977i | \(0.666698\pi\) | |||||||
\(468\) | −0.137118 | − | 0.379522i | −0.00633830 | − | 0.0175434i | ||||
\(469\) | −14.9008 | + | 14.9008i | −0.688057 | + | 0.688057i | ||||
\(470\) | 14.1932 | + | 23.0486i | 0.654685 | + | 1.06315i | ||||
\(471\) | 7.39820 | − | 29.2538i | 0.340891 | − | 1.34794i | ||||
\(472\) | 0.586126 | + | 0.274890i | 0.0269787 | + | 0.0126528i | ||||
\(473\) | −5.27882 | − | 3.04773i | −0.242720 | − | 0.140135i | ||||
\(474\) | −7.31956 | + | 32.8325i | −0.336199 | + | 1.50805i | ||||
\(475\) | −26.1185 | − | 6.99842i | −1.19840 | − | 0.321109i | ||||
\(476\) | 0.0869561 | − | 0.00493639i | 0.00398562 | − | 0.000226259i | ||||
\(477\) | −7.43209 | − | 1.76848i | −0.340292 | − | 0.0809732i | ||||
\(478\) | 5.27415 | + | 4.98323i | 0.241234 | + | 0.227928i | ||||
\(479\) | 5.66988 | + | 9.82052i | 0.259064 | + | 0.448711i | 0.965991 | − | 0.258575i | \(-0.0832528\pi\) |
−0.706928 | + | 0.707286i | \(0.749919\pi\) | |||||||
\(480\) | 33.3217 | − | 5.23618i | 1.52092 | − | 0.238998i | ||||
\(481\) | 0.158150 | − | 0.273923i | 0.00721101 | − | 0.0124898i | ||||
\(482\) | 1.97798 | − | 0.590584i | 0.0900944 | − | 0.0269004i | ||||
\(483\) | −21.4875 | + | 38.4594i | −0.977716 | + | 1.74996i | ||||
\(484\) | 6.77785 | + | 10.3383i | 0.308084 | + | 0.469922i | ||||
\(485\) | −22.8375 | + | 22.8375i | −1.03700 | + | 1.03700i | ||||
\(486\) | −20.6273 | + | 7.77909i | −0.935674 | + | 0.352867i | ||||
\(487\) | 27.9896i | 1.26833i | 0.773198 | + | 0.634165i | \(0.218656\pi\) | ||||
−0.773198 | + | 0.634165i | \(0.781344\pi\) | |||||||
\(488\) | 18.2238 | + | 26.1487i | 0.824951 | + | 1.18370i | ||||
\(489\) | 19.1353 | − | 5.41751i | 0.865330 | − | 0.244988i | ||||
\(490\) | −32.1372 | + | 59.4975i | −1.45181 | + | 2.68782i | ||||
\(491\) | −3.38342 | − | 12.6271i | −0.152692 | − | 0.569853i | −0.999292 | − | 0.0376238i | \(-0.988021\pi\) |
0.846600 | − | 0.532229i | \(-0.178646\pi\) | |||||||
\(492\) | 17.3249 | − | 1.22872i | 0.781065 | − | 0.0553950i | ||||
\(493\) | −0.00327565 | + | 0.0122249i | −0.000147528 | + | 0.000550581i | ||||
\(494\) | −0.257791 | + | 0.272841i | −0.0115986 | + | 0.0122757i | ||||
\(495\) | 19.3071 | − | 11.8849i | 0.867790 | − | 0.534187i | ||||
\(496\) | −10.3644 | + | 1.18055i | −0.465374 | + | 0.0530082i | ||||
\(497\) | 16.4926 | + | 28.5660i | 0.739793 | + | 1.28136i | ||||
\(498\) | −25.4075 | + | 16.1441i | −1.13854 | + | 0.723436i | ||||
\(499\) | −14.5884 | + | 3.90895i | −0.653066 | + | 0.174989i | −0.570115 | − | 0.821565i | \(-0.693101\pi\) |
−0.0829515 | + | 0.996554i | \(0.526435\pi\) | |||||||
\(500\) | −3.99227 | − | 12.1076i | −0.178540 | − | 0.541466i | ||||
\(501\) | 15.9464 | − | 9.50885i | 0.712433 | − | 0.424824i | ||||
\(502\) | −0.200981 | − | 0.326376i | −0.00897022 | − | 0.0145669i | ||||
\(503\) | 2.90879i | 0.129697i | 0.997895 | + | 0.0648483i | \(0.0206564\pi\) | ||||
−0.997895 | + | 0.0648483i | \(0.979344\pi\) | |||||||
\(504\) | 36.0862 | − | 14.2067i | 1.60741 | − | 0.632816i | ||||
\(505\) | − | 61.8949i | − | 2.75429i | ||||||
\(506\) | −14.7113 | + | 9.05912i | −0.653995 | + | 0.402727i | ||||
\(507\) | −0.317272 | − | 22.5066i | −0.0140906 | − | 0.999553i | ||||
\(508\) | −17.8193 | − | 8.98202i | −0.790604 | − | 0.398512i | ||||
\(509\) | 34.0514 | − | 9.12406i | 1.50930 | − | 0.404417i | 0.593100 | − | 0.805129i | \(-0.297904\pi\) |
0.916204 | + | 0.400712i | \(0.131237\pi\) | |||||||
\(510\) | −0.0371844 | + | 0.0712246i | −0.00164655 | + | 0.00315388i | ||||
\(511\) | −15.9773 | − | 27.6736i | −0.706796 | − | 1.22421i | ||||
\(512\) | 19.5207 | + | 11.4431i | 0.862700 | + | 0.505717i | ||||
\(513\) | 15.1004 | + | 13.8744i | 0.666698 | + | 0.612568i | ||||
\(514\) | 32.5722 | + | 30.7755i | 1.43670 | + | 1.35745i | ||||
\(515\) | −5.19891 | + | 19.4026i | −0.229092 | + | 0.854981i | ||||
\(516\) | 9.09160 | − | 3.14057i | 0.400235 | − | 0.138256i | ||||
\(517\) | 3.15886 | + | 11.7890i | 0.138926 | + | 0.518481i | ||||
\(518\) | 26.7461 | + | 14.4467i | 1.17515 | + | 0.634753i | ||||
\(519\) | 7.42976 | + | 7.22320i | 0.326130 | + | 0.317063i | ||||
\(520\) | −0.644677 | − | 0.115140i | −0.0282710 | − | 0.00504922i | ||||
\(521\) | 13.7437i | 0.602123i | 0.953605 | + | 0.301061i | \(0.0973409\pi\) | ||||
−0.953605 | + | 0.301061i | \(0.902659\pi\) | |||||||
\(522\) | 0.318494 | + | 5.62649i | 0.0139401 | + | 0.246265i | ||||
\(523\) | 9.11467 | − | 9.11467i | 0.398557 | − | 0.398557i | −0.479167 | − | 0.877724i | \(-0.659061\pi\) |
0.877724 | + | 0.479167i | \(0.159061\pi\) | |||||||
\(524\) | −0.0200917 | − | 0.00417939i | −0.000877708 | − | 0.000182578i | ||||
\(525\) | −27.7792 | − | 46.5860i | −1.21238 | − | 2.03318i | ||||
\(526\) | 4.79517 | + | 16.0599i | 0.209079 | + | 0.700246i | ||||
\(527\) | 0.0124239 | − | 0.0215188i | 0.000541192 | − | 0.000937372i | ||||
\(528\) | 15.0720 | + | 2.03624i | 0.655925 | + | 0.0886160i | ||||
\(529\) | 3.98502 | + | 6.90225i | 0.173262 | + | 0.300098i | ||||
\(530\) | −8.51468 | + | 9.01176i | −0.369854 | + | 0.391446i | ||||
\(531\) | −0.471660 | + | 0.499033i | −0.0204683 | + | 0.0216562i | ||||
\(532\) | −26.9135 | − | 24.0220i | −1.16685 | − | 1.04149i | ||||
\(533\) | −0.325716 | − | 0.0872754i | −0.0141083 | − | 0.00378032i | ||||
\(534\) | 3.77970 | − | 4.11503i | 0.163564 | − | 0.178075i | ||||
\(535\) | 48.0379 | + | 27.7347i | 2.07686 | + | 1.19908i | ||||
\(536\) | 5.53736 | − | 11.8069i | 0.239178 | − | 0.509980i | ||||
\(537\) | 3.29039 | − | 0.931561i | 0.141991 | − | 0.0401998i | ||||
\(538\) | 7.50075 | − | 4.61892i | 0.323380 | − | 0.199136i | ||||
\(539\) | −21.5600 | + | 21.5600i | −0.928654 | + | 0.928654i | ||||
\(540\) | −5.79889 | + | 35.3036i | −0.249544 | + | 1.51923i | ||||
\(541\) | −17.0782 | − | 17.0782i | −0.734248 | − | 0.734248i | 0.237210 | − | 0.971458i | \(-0.423767\pi\) |
−0.971458 | + | 0.237210i | \(0.923767\pi\) | |||||||
\(542\) | −1.64020 | + | 6.89797i | −0.0704527 | + | 0.296293i | ||||
\(543\) | 1.21834 | + | 4.30332i | 0.0522838 | + | 0.184673i | ||||
\(544\) | −0.0495690 | + | 0.0211663i | −0.00212525 | + | 0.000907497i | ||||
\(545\) | 29.0325 | − | 50.2858i | 1.24362 | − | 2.15401i | ||||
\(546\) | −0.752272 | + | 0.0319530i | −0.0321943 | + | 0.00136746i | ||||
\(547\) | −0.897434 | + | 3.34927i | −0.0383715 | + | 0.143204i | −0.982454 | − | 0.186505i | \(-0.940284\pi\) |
0.944083 | + | 0.329709i | \(0.106951\pi\) | |||||||
\(548\) | 9.32960 | − | 0.529630i | 0.398541 | − | 0.0226247i | ||||
\(549\) | −32.3945 | + | 9.66661i | −1.38256 | + | 0.412561i | ||||
\(550\) | −0.603033 | − | 21.2624i | −0.0257134 | − | 0.906630i | ||||
\(551\) | 4.53981 | − | 2.62106i | 0.193402 | − | 0.111661i | ||||
\(552\) | 4.41460 | − | 26.9034i | 0.187898 | − | 1.14508i | ||||
\(553\) | 54.3570 | + | 31.3830i | 2.31149 | + | 1.33454i | ||||
\(554\) | 4.69456 | − | 8.69131i | 0.199453 | − | 0.369258i | ||||
\(555\) | −24.0857 | + | 14.3623i | −1.02238 | + | 0.609646i | ||||
\(556\) | −2.48863 | + | 11.9636i | −0.105541 | + | 0.507371i | ||||
\(557\) | −6.42266 | − | 6.42266i | −0.272137 | − | 0.272137i | 0.557823 | − | 0.829960i | \(-0.311637\pi\) |
−0.829960 | + | 0.557823i | \(0.811637\pi\) | |||||||
\(558\) | 2.25504 | − | 10.8319i | 0.0954636 | − | 0.458551i | ||||
\(559\) | −0.186748 | −0.00789858 | ||||||||
\(560\) | 9.30472 | − | 62.2463i | 0.393196 | − | 2.63039i | ||||
\(561\) | −0.0252534 | + | 0.0259756i | −0.00106620 | + | 0.00109669i | ||||
\(562\) | −7.20522 | − | 24.1316i | −0.303934 | − | 1.01793i | ||||
\(563\) | 2.20839 | − | 0.591735i | 0.0930723 | − | 0.0249387i | −0.211982 | − | 0.977273i | \(-0.567992\pi\) |
0.305055 | + | 0.952335i | \(0.401325\pi\) | |||||||
\(564\) | −17.3187 | − | 8.42568i | −0.729250 | − | 0.354785i | ||||
\(565\) | 18.9967 | + | 5.09015i | 0.799198 | + | 0.214144i | ||||
\(566\) | −17.9418 | + | 0.508857i | −0.754150 | + | 0.0213889i | ||||
\(567\) | 2.31809 | + | 41.0691i | 0.0973505 | + | 1.72474i | ||||
\(568\) | −15.6080 | − | 13.1555i | −0.654899 | − | 0.551991i | ||||
\(569\) | 8.94577 | − | 5.16484i | 0.375026 | − | 0.216522i | −0.300626 | − | 0.953742i | \(-0.597196\pi\) |
0.675652 | + | 0.737221i | \(0.263862\pi\) | |||||||
\(570\) | 31.7509 | − | 9.96974i | 1.32990 | − | 0.417586i | ||||
\(571\) | 10.9386 | + | 40.8233i | 0.457765 | + | 1.70840i | 0.679828 | + | 0.733371i | \(0.262054\pi\) |
−0.222063 | + | 0.975032i | \(0.571279\pi\) | |||||||
\(572\) | −0.263678 | − | 0.132910i | −0.0110249 | − | 0.00555723i | ||||
\(573\) | −18.1002 | + | 0.255156i | −0.756147 | + | 0.0106593i | ||||
\(574\) | 7.49688 | − | 31.5286i | 0.312914 | − | 1.31598i | ||||
\(575\) | −38.1297 | −1.59012 | ||||||||
\(576\) | −18.0130 | + | 15.8597i | −0.750542 | + | 0.660823i | ||||
\(577\) | −28.0181 | −1.16641 | −0.583204 | − | 0.812326i | \(-0.698201\pi\) | ||||
−0.583204 | + | 0.812326i | \(0.698201\pi\) | |||||||
\(578\) | −5.56154 | + | 23.3894i | −0.231330 | + | 0.972870i | ||||
\(579\) | −21.3731 | − | 35.8428i | −0.888235 | − | 1.48958i | ||||
\(580\) | 8.16681 | + | 4.11657i | 0.339108 | + | 0.170931i | ||||
\(581\) | 14.5375 | + | 54.2547i | 0.603117 | + | 2.25086i | ||||
\(582\) | 5.00033 | − | 22.4294i | 0.207270 | − | 0.929728i | ||||
\(583\) | −4.84126 | + | 2.79510i | −0.200505 | + | 0.115761i | ||||
\(584\) | 15.1204 | + | 12.7445i | 0.625688 | + | 0.527370i | ||||
\(585\) | 0.330207 | − | 0.611095i | 0.0136524 | − | 0.0252657i | ||||
\(586\) | −19.1372 | + | 0.542759i | −0.790549 | + | 0.0224212i | ||||
\(587\) | −26.1352 | − | 7.00291i | −1.07872 | − | 0.289041i | −0.324646 | − | 0.945835i | \(-0.605245\pi\) |
−0.754070 | + | 0.656794i | \(0.771912\pi\) | |||||||
\(588\) | −3.40384 | − | 47.9939i | −0.140372 | − | 1.97924i | ||||
\(589\) | −9.94115 | + | 2.66372i | −0.409618 | + | 0.109757i | ||||
\(590\) | 0.318815 | + | 1.06777i | 0.0131254 | + | 0.0439594i | ||||
\(591\) | 7.83596 | + | 27.6776i | 0.322328 | + | 1.13850i | ||||
\(592\) | −18.6051 | − | 2.78114i | −0.764666 | − | 0.114304i | ||||
\(593\) | 27.4816 | 1.12853 | 0.564267 | − | 0.825592i | \(-0.309159\pi\) | ||||
0.564267 | + | 0.825592i | \(0.309159\pi\) | |||||||
\(594\) | −7.05958 | + | 14.5048i | −0.289658 | + | 0.595138i | ||||
\(595\) | 0.106009 | + | 0.106009i | 0.00434594 | + | 0.00434594i | ||||
\(596\) | −2.84602 | + | 13.6817i | −0.116578 | + | 0.560425i | ||||
\(597\) | 13.3886 | + | 7.48031i | 0.547960 | + | 0.306149i | ||||
\(598\) | −0.251555 | + | 0.465718i | −0.0102868 | + | 0.0190446i | ||||
\(599\) | −23.2792 | − | 13.4402i | −0.951162 | − | 0.549153i | −0.0577200 | − | 0.998333i | \(-0.518383\pi\) |
−0.893442 | + | 0.449179i | \(0.851716\pi\) | |||||||
\(600\) | 25.9677 | + | 21.2685i | 1.06013 | + | 0.868281i | ||||
\(601\) | −33.4069 | + | 19.2875i | −1.36269 | + | 0.786752i | −0.989982 | − | 0.141195i | \(-0.954906\pi\) |
−0.372713 | + | 0.927947i | \(0.621572\pi\) | |||||||
\(602\) | −0.508817 | − | 17.9404i | −0.0207378 | − | 0.731196i | ||||
\(603\) | 10.0525 | + | 9.50108i | 0.409369 | + | 0.386914i | ||||
\(604\) | 27.1620 | − | 1.54195i | 1.10521 | − | 0.0627412i | ||||
\(605\) | −5.50737 | + | 20.5538i | −0.223906 | + | 0.835630i | ||||
\(606\) | 23.6184 | + | 37.1704i | 0.959432 | + | 1.50995i | ||||
\(607\) | −4.36643 | + | 7.56288i | −0.177228 | + | 0.306968i | −0.940930 | − | 0.338601i | \(-0.890046\pi\) |
0.763702 | + | 0.645569i | \(0.223380\pi\) | |||||||
\(608\) | 20.7170 | + | 8.31860i | 0.840185 | + | 0.337364i | ||||
\(609\) | 10.1943 | + | 2.57811i | 0.413094 | + | 0.104470i | ||||
\(610\) | −12.6914 | + | 53.3744i | −0.513860 | + | 2.16107i | ||||
\(611\) | 0.264404 | + | 0.264404i | 0.0106966 | + | 0.0106966i | ||||
\(612\) | −0.00484776 | − | 0.0569625i | −0.000195959 | − | 0.00230257i | ||||
\(613\) | 22.3747 | − | 22.3747i | 0.903705 | − | 0.903705i | −0.0920491 | − | 0.995754i | \(-0.529342\pi\) |
0.995754 | + | 0.0920491i | \(0.0293417\pi\) | |||||||
\(614\) | 5.60108 | − | 3.44912i | 0.226041 | − | 0.139195i | ||||
\(615\) | 21.4358 | + | 20.8398i | 0.864374 | + | 0.840343i | ||||
\(616\) | 12.0499 | − | 25.6930i | 0.485503 | − | 1.03520i | ||||
\(617\) | −36.5935 | − | 21.1273i | −1.47320 | − | 0.850552i | −0.473654 | − | 0.880711i | \(-0.657065\pi\) |
−0.999545 | + | 0.0301587i | \(0.990399\pi\) | |||||||
\(618\) | −4.28166 | − | 13.6359i | −0.172233 | − | 0.548517i | ||||
\(619\) | −7.31328 | − | 1.95959i | −0.293946 | − | 0.0787625i | 0.108833 | − | 0.994060i | \(-0.465289\pi\) |
−0.402778 | + | 0.915298i | \(0.631955\pi\) | |||||||
\(620\) | −13.3957 | − | 11.9565i | −0.537986 | − | 0.480186i | ||||
\(621\) | 25.6317 | + | 13.3869i | 1.02856 | + | 0.537196i | ||||
\(622\) | 24.5554 | − | 25.9889i | 0.984581 | − | 1.04206i | ||||
\(623\) | −5.21281 | − | 9.02885i | −0.208847 | − | 0.361733i | ||||
\(624\) | 0.431092 | − | 0.176855i | 0.0172575 | − | 0.00707988i | ||||
\(625\) | −6.15675 | + | 10.6638i | −0.246270 | + | 0.426552i | ||||
\(626\) | −1.82443 | − | 6.11035i | −0.0729188 | − | 0.244219i | ||||
\(627\) | 15.0040 | − | 0.211509i | 0.599202 | − | 0.00844687i | ||||
\(628\) | 34.1126 | + | 7.09598i | 1.36124 | + | 0.283160i | ||||
\(629\) | 0.0316856 | − | 0.0316856i | 0.00126339 | − | 0.00126339i | ||||
\(630\) | 59.6061 | + | 30.0572i | 2.37476 | + | 1.19751i | ||||
\(631\) | 9.01756i | 0.358983i | 0.983759 | + | 0.179492i | \(0.0574453\pi\) | ||||
−0.983759 | + | 0.179492i | \(0.942555\pi\) | |||||||
\(632\) | −38.2373 | − | 6.82923i | −1.52100 | − | 0.271652i | ||||
\(633\) | −10.1322 | + | 40.0645i | −0.402719 | + | 1.59242i | ||||
\(634\) | −3.38438 | − | 1.82805i | −0.134411 | − | 0.0726012i | ||||
\(635\) | −8.89013 | − | 33.1784i | −0.352794 | − | 1.31664i | ||||
\(636\) | 1.67463 | − | 8.66104i | 0.0664035 | − | 0.343433i | ||||
\(637\) | −0.241773 | + | 0.902311i | −0.00957941 | + | 0.0357508i | ||||
\(638\) | 2.99740 | + | 2.83207i | 0.118668 | + | 0.112123i | ||||
\(639\) | 18.4376 | − | 11.3497i | 0.729382 | − | 0.448987i | ||||
\(640\) | 7.67980 | + | 38.1841i | 0.303571 | + | 1.50936i | ||||
\(641\) | −16.9278 | − | 29.3199i | −0.668609 | − | 1.15807i | −0.978293 | − | 0.207226i | \(-0.933557\pi\) |
0.309684 | − | 0.950840i | \(-0.399777\pi\) | |||||||
\(642\) | −39.4320 | + | 1.67489i | −1.55626 | + | 0.0661027i | ||||
\(643\) | −38.5056 | + | 10.3175i | −1.51851 | + | 0.406884i | −0.919252 | − | 0.393669i | \(-0.871206\pi\) |
−0.599261 | + | 0.800554i | \(0.704539\pi\) | |||||||
\(644\) | −45.4258 | − | 22.8973i | −1.79003 | − | 0.902282i | ||||
\(645\) | 14.4539 | + | 8.07548i | 0.569122 | + | 0.317972i | ||||
\(646\) | −0.0452811 | + | 0.0278839i | −0.00178156 | + | 0.00109708i | ||||
\(647\) | − | 19.8346i | − | 0.779778i | −0.920862 | − | 0.389889i | \(-0.872513\pi\) | ||
0.920862 | − | 0.389889i | \(-0.127487\pi\) | |||||||
\(648\) | −9.98900 | − | 23.4141i | −0.392405 | − | 0.919793i | ||||
\(649\) | 0.502454i | 0.0197231i | ||||||||
\(650\) | −0.341709 | − | 0.554907i | −0.0134029 | − | 0.0217653i | ||||
\(651\) | −18.0224 | − | 10.0693i | −0.706355 | − | 0.394645i | ||||
\(652\) | 7.19117 | + | 21.8090i | 0.281628 | + | 0.854108i | ||||
\(653\) | −7.06407 | + | 1.89281i | −0.276438 | + | 0.0740714i | −0.394375 | − | 0.918950i | \(-0.629039\pi\) |
0.117936 | + | 0.993021i | \(0.462372\pi\) | |||||||
\(654\) | 1.75326 | + | 41.2772i | 0.0685581 | + | 1.61407i | ||||
\(655\) | −0.0176621 | − | 0.0305917i | −0.000690116 | − | 0.00119532i | ||||
\(656\) | 2.26971 | + | 19.9264i | 0.0886173 | + | 0.777996i | ||||
\(657\) | −17.8616 | + | 10.9951i | −0.696849 | + | 0.428960i | ||||
\(658\) | −24.6802 | + | 26.1210i | −0.962136 | + | 1.01830i | ||||
\(659\) | 7.84588 | − | 29.2812i | 0.305632 | − | 1.14063i | −0.626768 | − | 0.779206i | \(-0.715622\pi\) |
0.932400 | − | 0.361429i | \(-0.117711\pi\) | |||||||
\(660\) | 14.6608 | + | 21.6891i | 0.570669 | + | 0.844247i | ||||
\(661\) | 1.76712 | + | 6.59497i | 0.0687329 | + | 0.256515i | 0.991739 | − | 0.128270i | \(-0.0409424\pi\) |
−0.923006 | + | 0.384785i | \(0.874276\pi\) | |||||||
\(662\) | 20.8866 | − | 38.6685i | 0.811779 | − | 1.50289i | ||||
\(663\) | −0.000272129 | 0.00107605i | −1.05686e−5 | 4.17902e-5i | ||||||
\(664\) | −19.8745 | − | 28.5173i | −0.771279 | − | 1.10669i | ||||
\(665\) | − | 62.0959i | − | 2.40798i | ||||||
\(666\) | 8.98396 | − | 17.8160i | 0.348122 | − | 0.690356i | ||||
\(667\) | 5.22699 | − | 5.22699i | 0.202390 | − | 0.202390i | ||||
\(668\) | 11.7543 | + | 17.9289i | 0.454787 | + | 0.693689i | ||||
\(669\) | 33.0917 | − | 0.466489i | 1.27940 | − | 0.0180355i | ||||
\(670\) | 21.5091 | − | 6.42218i | 0.830969 | − | 0.248110i | ||||
\(671\) | −12.3686 | + | 21.4230i | −0.477485 | + | 0.827027i | ||||
\(672\) | 18.1646 | + | 40.9321i | 0.700715 | + | 1.57899i | ||||
\(673\) | −15.7160 | − | 27.2209i | −0.605808 | − | 1.04929i | −0.991923 | − | 0.126839i | \(-0.959517\pi\) |
0.386116 | − | 0.922450i | \(-0.373817\pi\) | |||||||
\(674\) | −21.0063 | − | 19.8476i | −0.809132 | − | 0.764501i | ||||
\(675\) | −30.0521 | + | 19.0885i | −1.15671 | + | 0.734718i | ||||
\(676\) | 25.9492 | − | 1.47310i | 0.998045 | − | 0.0566578i | ||||
\(677\) | −30.0368 | − | 8.04835i | −1.15441 | − | 0.309323i | −0.369679 | − | 0.929160i | \(-0.620532\pi\) |
−0.784731 | + | 0.619837i | \(0.787199\pi\) | |||||||
\(678\) | −13.3507 | + | 4.19209i | −0.512729 | + | 0.160996i | ||||
\(679\) | −37.1337 | − | 21.4392i | −1.42506 | − | 0.822760i | ||||
\(680\) | −0.0839976 | − | 0.0393944i | −0.00322116 | − | 0.00151071i | ||||
\(681\) | 0.100686 | + | 0.0978871i | 0.00385831 | + | 0.00375104i | ||||
\(682\) | −4.24519 | − | 6.89383i | −0.162557 | − | 0.263979i | ||||
\(683\) | −4.48036 | + | 4.48036i | −0.171436 | + | 0.171436i | −0.787610 | − | 0.616174i | \(-0.788682\pi\) |
0.616174 | + | 0.787610i | \(0.288682\pi\) | |||||||
\(684\) | −15.2634 | + | 18.1030i | −0.583611 | + | 0.692187i | ||||
\(685\) | 11.3738 | + | 11.3738i | 0.434570 | + | 0.434570i | ||||
\(686\) | −43.3232 | − | 10.3014i | −1.65409 | − | 0.393310i | ||||
\(687\) | −5.90218 | − | 1.49264i | −0.225182 | − | 0.0569479i | ||||
\(688\) | 4.07033 | + | 10.3341i | 0.155180 | + | 0.393982i | ||||
\(689\) | −0.0856341 | + | 0.148323i | −0.00326240 | + | 0.00565064i | ||||
\(690\) | 39.6088 | − | 25.1677i | 1.50788 | − | 0.958119i | ||||
\(691\) | −8.50986 | + | 31.7592i | −0.323730 | + | 1.20818i | 0.591852 | + | 0.806047i | \(0.298397\pi\) |
−0.915582 | + | 0.402131i | \(0.868270\pi\) | |||||||
\(692\) | −7.96760 | + | 8.92666i | −0.302883 | + | 0.339341i | ||||
\(693\) | 21.8752 | + | 20.6753i | 0.830972 | + | 0.785391i | ||||
\(694\) | 33.4516 | − | 0.948738i | 1.26980 | − | 0.0360136i | ||||
\(695\) | −18.2159 | + | 10.5170i | −0.690969 | + | 0.398931i | ||||
\(696\) | −6.47534 | + | 0.644193i | −0.245447 | + | 0.0244181i | ||||
\(697\) | −0.0413718 | − | 0.0238860i | −0.00156707 | − | 0.000904747i | ||||
\(698\) | 22.4621 | + | 12.1328i | 0.850205 | + | 0.459233i | ||||
\(699\) | −41.9816 | − | 23.4554i | −1.58789 | − | 0.887163i | ||||
\(700\) | 52.3776 | − | 34.3391i | 1.97969 | − | 1.29790i | ||||
\(701\) | −22.5839 | − | 22.5839i | −0.852983 | − | 0.852983i | 0.137517 | − | 0.990499i | \(-0.456088\pi\) |
−0.990499 | + | 0.137517i | \(0.956088\pi\) | |||||||
\(702\) | 0.0348838 | + | 0.492992i | 0.00131661 | + | 0.0186068i | ||||
\(703\) | −18.5602 | −0.700011 | ||||||||
\(704\) | −1.60773 | + | 17.4880i | −0.0605938 | + | 0.659105i | ||||
\(705\) | −9.03079 | − | 31.8979i | −0.340119 | − | 1.20134i | ||||
\(706\) | −34.0866 | + | 10.1776i | −1.28287 | + | 0.383038i | ||||
\(707\) | 79.3731 | − | 21.2680i | 2.98513 | − | 0.799864i | ||||
\(708\) | −0.598911 | − | 0.519585i | −0.0225085 | − | 0.0195272i | ||||
\(709\) | −28.7639 | − | 7.70727i | −1.08025 | − | 0.289453i | −0.325553 | − | 0.945524i | \(-0.605550\pi\) |
−0.754699 | + | 0.656071i | \(0.772217\pi\) | |||||||
\(710\) | −0.996125 | − | 35.1224i | −0.0373839 | − | 1.31812i | ||||
\(711\) | 19.5854 | − | 36.2455i | 0.734509 | − | 1.35931i | ||||
\(712\) | 4.93324 | + | 4.15805i | 0.184881 | + | 0.155829i | ||||
\(713\) | −12.5685 | + | 7.25642i | −0.470694 | + | 0.271755i | ||||
\(714\) | −0.104115 | − | 0.0232109i | −0.00389639 | − | 0.000868647i | ||||
\(715\) | −0.131550 | − | 0.490951i | −0.00491969 | − | 0.0183605i | ||||
\(716\) | 1.23655 | + | 3.75015i | 0.0462120 | + | 0.140150i | ||||
\(717\) | −4.55140 | − | 7.63273i | −0.169975 | − | 0.285050i | ||||
\(718\) | −10.0132 | − | 2.38094i | −0.373689 | − | 0.0888560i | ||||
\(719\) | 39.3171 | 1.46628 | 0.733140 | − | 0.680078i | \(-0.238054\pi\) | ||||
0.733140 | + | 0.680078i | \(0.238054\pi\) | |||||||
\(720\) | −41.0134 | − | 4.95334i | −1.52848 | − | 0.184600i | ||||
\(721\) | −26.6680 | −0.993170 | ||||||||
\(722\) | −4.71259 | − | 1.12056i | −0.175385 | − | 0.0417031i | ||||
\(723\) | −2.52794 | + | 0.0356361i | −0.0940153 | + | 0.00132532i | ||||
\(724\) | −4.90460 | + | 1.61721i | −0.182278 | + | 0.0601032i | ||||
\(725\) | 2.35551 | + | 8.79087i | 0.0874814 | + | 0.326485i | ||||
\(726\) | −4.53569 | − | 14.4449i | −0.168335 | − | 0.536102i | ||||
\(727\) | 26.4795 | − | 15.2880i | 0.982072 | − | 0.566999i | 0.0791766 | − | 0.996861i | \(-0.474771\pi\) |
0.902895 | + | 0.429861i | \(0.141438\pi\) | |||||||
\(728\) | −0.0738663 | − | 0.866289i | −0.00273767 | − | 0.0321068i | ||||
\(729\) | 26.9035 | − | 2.28082i | 0.996426 | − | 0.0844748i | ||||
\(730\) | 0.965005 | + | 34.0251i | 0.0357164 | + | 1.25933i | ||||
\(731\) | −0.0255550 | − | 0.00684745i | −0.000945187 | − | 0.000253262i | ||||
\(732\) | −12.7454 | − | 36.8964i | −0.471082 | − | 1.36373i | ||||
\(733\) | −19.6501 | + | 5.26522i | −0.725792 | + | 0.194475i | −0.602755 | − | 0.797927i | \(-0.705930\pi\) |
−0.123038 | + | 0.992402i | \(0.539264\pi\) | |||||||
\(734\) | −23.4185 | + | 6.99228i | −0.864391 | + | 0.258090i | ||||
\(735\) | 57.7312 | − | 59.3821i | 2.12945 | − | 2.19034i | ||||
\(736\) | 31.2543 | + | 3.76956i | 1.15205 | + | 0.138948i | ||||
\(737\) | 10.1214 | 0.372827 | ||||||||
\(738\) | −20.8253 | − | 4.33553i | −0.766591 | − | 0.159593i | ||||
\(739\) | −30.6148 | − | 30.6148i | −1.12618 | − | 1.12618i | −0.990792 | − | 0.135393i | \(-0.956770\pi\) |
−0.135393 | − | 0.990792i | \(-0.543230\pi\) | |||||||
\(740\) | −17.7539 | − | 27.0800i | −0.652645 | − | 0.995482i | ||||
\(741\) | 0.394855 | − | 0.235452i | 0.0145053 | − | 0.00864954i | ||||
\(742\) | −14.4823 | − | 7.82254i | −0.531662 | − | 0.287174i | ||||
\(743\) | 1.59632 | + | 0.921634i | 0.0585632 | + | 0.0338115i | 0.528996 | − | 0.848625i | \(-0.322569\pi\) |
−0.470433 | + | 0.882436i | \(0.655902\pi\) | |||||||
\(744\) | 12.6072 | + | 2.06872i | 0.462202 | + | 0.0758431i | ||||
\(745\) | −20.8319 | + | 12.0273i | −0.763221 | + | 0.440646i | ||||
\(746\) | −7.11447 | + | 0.201777i | −0.260479 | + | 0.00738759i | ||||
\(747\) | 35.3288 | − | 10.5422i | 1.29261 | − | 0.385720i | ||||
\(748\) | −0.0312090 | − | 0.0278559i | −0.00114111 | − | 0.00101851i | ||||
\(749\) | −19.0601 | + | 71.1332i | −0.696440 | + | 2.59915i | ||||
\(750\) | 0.662613 | + | 15.5999i | 0.0241952 | + | 0.569628i | ||||
\(751\) | −1.25078 | + | 2.16642i | −0.0456416 | + | 0.0790536i | −0.887944 | − | 0.459952i | \(-0.847867\pi\) |
0.842302 | + | 0.539006i | \(0.181200\pi\) | |||||||
\(752\) | 8.86841 | − | 20.3942i | 0.323398 | − | 0.743702i | ||||
\(753\) | 0.127879 | + | 0.451685i | 0.00466017 | + | 0.0164603i | ||||
\(754\) | 0.122912 | + | 0.0292261i | 0.00447620 | + | 0.00106435i | ||||
\(755\) | 33.1135 | + | 33.1135i | 1.20512 | + | 1.20512i | ||||
\(756\) | −47.2655 | + | 4.69442i | −1.71903 | + | 0.170734i | ||||
\(757\) | −20.0347 | + | 20.0347i | −0.728173 | + | 0.728173i | −0.970256 | − | 0.242083i | \(-0.922169\pi\) |
0.242083 | + | 0.970256i | \(0.422169\pi\) | |||||||
\(758\) | 15.9791 | + | 25.9487i | 0.580386 | + | 0.942498i | ||||
\(759\) | 20.3595 | − | 5.76409i | 0.739003 | − | 0.209223i | ||||
\(760\) | 13.0634 | + | 36.1391i | 0.473860 | + | 1.31090i | ||||
\(761\) | 37.9914 | + | 21.9344i | 1.37719 | + | 0.795120i | 0.991820 | − | 0.127642i | \(-0.0407409\pi\) |
0.385369 | + | 0.922763i | \(0.374074\pi\) | |||||||
\(762\) | 17.9994 | + | 16.5326i | 0.652050 | + | 0.598914i | ||||
\(763\) | 74.4617 | + | 19.9520i | 2.69570 | + | 0.722310i | ||||
\(764\) | −1.18470 | − | 20.8688i | −0.0428608 | − | 0.755006i | ||||
\(765\) | 0.0675934 | − | 0.0715162i | 0.00244385 | − | 0.00258568i | ||||
\(766\) | −27.4746 | − | 25.9592i | −0.992699 | − | 0.937943i | ||||
\(767\) | 0.00769689 | + | 0.0133314i | 0.000277919 | + | 0.000481369i | ||||
\(768\) | −19.1827 | − | 20.0006i | −0.692195 | − | 0.721710i | ||||
\(769\) | 16.2595 | − | 28.1622i | 0.586331 | − | 1.01555i | −0.408377 | − | 0.912813i | \(-0.633905\pi\) |
0.994708 | − | 0.102742i | \(-0.0327615\pi\) | |||||||
\(770\) | 46.8060 | − | 13.9753i | 1.68677 | − | 0.503636i | ||||
\(771\) | −28.1086 | − | 47.1384i | −1.01231 | − | 1.69765i | ||||
\(772\) | 40.2988 | − | 26.4202i | 1.45039 | − | 0.950883i | ||||
\(773\) | −7.08821 | + | 7.08821i | −0.254945 | + | 0.254945i | −0.822995 | − | 0.568049i | \(-0.807698\pi\) |
0.568049 | + | 0.822995i | \(0.307698\pi\) | |||||||
\(774\) | −11.7617 | + | 0.665783i | −0.422765 | + | 0.0239311i | ||||
\(775\) | − | 17.8679i | − | 0.641835i | ||||||
\(776\) | 26.1217 | + | 4.66536i | 0.937714 | + | 0.167477i | ||||
\(777\) | −26.6942 | − | 25.9521i | −0.957649 | − | 0.931025i | ||||
\(778\) | 14.2244 | − | 26.3345i | 0.509970 | − | 0.944137i | ||||
\(779\) | 5.12125 | + | 19.1128i | 0.183488 | + | 0.684786i | ||||
\(780\) | 0.721234 | + | 0.350885i | 0.0258243 | + | 0.0125637i | ||||
\(781\) | 4.10043 | − | 15.3030i | 0.146725 | − | 0.547585i | ||||
\(782\) | −0.0514999 | + | 0.0545064i | −0.00184163 | + | 0.00194914i | ||||
\(783\) | 1.50294 | − | 6.73642i | 0.0537107 | − | 0.240740i | ||||
\(784\) | 55.2009 | − | 6.28763i | 1.97146 | − | 0.224558i | ||||
\(785\) | 29.9876 | + | 51.9401i | 1.07030 | + | 1.85382i | ||||
\(786\) | 0.0222803 | + | 0.0116319i | 0.000794712 | + | 0.000414897i | ||||
\(787\) | −32.1400 | + | 8.61189i | −1.14567 | + | 0.306981i | −0.781228 | − | 0.624246i | \(-0.785406\pi\) |
−0.364440 | + | 0.931227i | \(0.618740\pi\) | |||||||
\(788\) | −31.5449 | + | 10.4014i | −1.12374 | + | 0.370535i | ||||
\(789\) | −0.289343 | − | 20.5253i | −0.0103009 | − | 0.730721i | ||||
\(790\) | −35.0580 | − | 56.9312i | −1.24731 | − | 2.02552i | ||||
\(791\) | 26.1102i | 0.928371i | ||||||||
\(792\) | −17.0807 | − | 7.43082i | −0.606937 | − | 0.264043i | ||||
\(793\) | 0.757878i | 0.0269130i | ||||||||
\(794\) | 32.1080 | − | 19.7719i | 1.13947 | − | 0.701680i | ||||
\(795\) | 13.0418 | − | 7.77682i | 0.462545 | − | 0.275816i | ||||
\(796\) | −7.97111 | + | 15.8138i | −0.282528 | + | 0.560505i | ||||
\(797\) | 23.0863 | − | 6.18597i | 0.817760 | − | 0.219118i | 0.174393 | − | 0.984676i | \(-0.444204\pi\) |
0.643367 | + | 0.765558i | \(0.277537\pi\) | |||||||
\(798\) | 23.6951 | + | 37.2912i | 0.838798 | + | 1.32009i | ||||
\(799\) | 0.0264869 | + | 0.0458766i | 0.000937038 | + | 0.00162300i | ||||
\(800\) | −23.2591 | + | 31.0039i | −0.822333 | + | 1.09615i | ||||
\(801\) | −5.82759 | + | 3.58730i | −0.205908 | + | 0.126751i | ||||
\(802\) | −5.44884 | − | 5.14829i | −0.192405 | − | 0.181792i | ||||
\(803\) | −3.97233 | + | 14.8249i | −0.140180 | + | 0.523161i | ||||
\(804\) | −10.4665 | + | 12.0644i | −0.369124 | + | 0.425479i | ||||
\(805\) | −22.6631 | − | 84.5798i | −0.798769 | − | 2.98105i | ||||
\(806\) | −0.218240 | − | 0.117881i | −0.00768716 | − | 0.00415218i | ||||
\(807\) | −10.3806 | + | 2.93890i | −0.365414 | + | 0.103454i | ||||
\(808\) | −41.7200 | + | 29.0758i | −1.46770 | + | 1.02288i | ||||
\(809\) | − | 36.2540i | − | 1.27462i | −0.770606 | − | 0.637312i | \(-0.780046\pi\) | ||
0.770606 | − | 0.637312i | \(-0.219954\pi\) | |||||||
\(810\) | 18.6184 | − | 39.6651i | 0.654183 | − | 1.39369i | ||||
\(811\) | −2.21531 | + | 2.21531i | −0.0777902 | + | 0.0777902i | −0.744931 | − | 0.667141i | \(-0.767518\pi\) |
0.667141 | + | 0.744931i | \(0.267518\pi\) | |||||||
\(812\) | −2.47279 | + | 11.8875i | −0.0867781 | + | 0.417170i | ||||
\(813\) | 4.23546 | − | 7.58084i | 0.148544 | − | 0.265872i | ||||
\(814\) | −4.17716 | − | 13.9901i | −0.146409 | − | 0.490353i | ||||
\(815\) | −19.7641 | + | 34.2324i | −0.692306 | + | 1.19911i | ||||
\(816\) | 0.0654765 | − | 0.00839456i | 0.00229214 | − | 0.000293868i | ||||
\(817\) | 5.47910 | + | 9.49007i | 0.191689 | + | 0.332016i | ||||
\(818\) | 24.9569 | − | 26.4139i | 0.872598 | − | 0.923539i | ||||
\(819\) | 0.897124 | + | 0.213472i | 0.0313480 | + | 0.00745932i | ||||
\(820\) | −22.9875 | + | 25.7545i | −0.802758 | + | 0.899387i | ||||
\(821\) | 25.4446 | + | 6.81787i | 0.888024 | + | 0.237945i | 0.673866 | − | 0.738854i | \(-0.264633\pi\) |
0.214158 | + | 0.976799i | \(0.431299\pi\) | |||||||
\(822\) | −11.1705 | − | 2.49032i | −0.389618 | − | 0.0868600i | ||||
\(823\) | 38.4020 | + | 22.1714i | 1.33861 | + | 0.772846i | 0.986601 | − | 0.163152i | \(-0.0521660\pi\) |
0.352007 | + | 0.935997i | \(0.385499\pi\) | |||||||
\(824\) | 15.5205 | − | 5.61028i | 0.540682 | − | 0.195443i | ||||
\(825\) | −6.38724 | + | 25.2563i | −0.222375 | + | 0.879311i | ||||
\(826\) | −1.25974 | + | 0.775745i | −0.0438321 | + | 0.0269916i | ||||
\(827\) | 4.61829 | − | 4.61829i | 0.160594 | − | 0.160594i | −0.622236 | − | 0.782830i | \(-0.713776\pi\) |
0.782830 | + | 0.622236i | \(0.213776\pi\) | |||||||
\(828\) | −14.1830 | + | 30.2285i | −0.492893 | + | 1.05051i | ||||
\(829\) | 20.8452 | + | 20.8452i | 0.723983 | + | 0.723983i | 0.969414 | − | 0.245431i | \(-0.0789294\pi\) |
−0.245431 | + | 0.969414i | \(0.578929\pi\) | |||||||
\(830\) | 13.8410 | − | 58.2091i | 0.480428 | − | 2.02047i | ||||
\(831\) | −8.43329 | + | 8.67446i | −0.292548 | + | 0.300914i | ||||
\(832\) | 0.225235 | + | 0.488631i | 0.00780860 | + | 0.0169402i | ||||
\(833\) | −0.0661698 | + | 0.114610i | −0.00229265 | + | 0.00397099i | ||||
\(834\) | 6.92626 | − | 13.2669i | 0.239837 | − | 0.459394i | ||||
\(835\) | −9.55100 | + | 35.6448i | −0.330526 | + | 1.23354i | ||||
\(836\) | 0.982042 | + | 17.2990i | 0.0339646 | + | 0.598298i | ||||
\(837\) | −6.27321 | + | 12.0112i | −0.216834 | + | 0.415169i | ||||
\(838\) | 1.50008 | + | 52.8914i | 0.0518194 | + | 1.82710i | ||||
\(839\) | 16.4553 | − | 9.50046i | 0.568099 | − | 0.327992i | −0.188291 | − | 0.982113i | \(-0.560295\pi\) |
0.756390 | + | 0.654121i | \(0.226961\pi\) | |||||||
\(840\) | −31.7436 | + | 70.2432i | −1.09526 | + | 2.42362i | ||||
\(841\) | 23.5867 | + | 13.6178i | 0.813336 | + | 0.469580i | ||||
\(842\) | −11.3484 | + | 21.0100i | −0.391093 | + | 0.724053i | ||||
\(843\) | 0.434766 | + | 30.8413i | 0.0149741 | + | 1.06223i | ||||
\(844\) | −46.7189 | − | 9.71830i | −1.60813 | − | 0.334518i | ||||
\(845\) | 31.6349 | + | 31.6349i | 1.08827 | + | 1.08827i | ||||
\(846\) | 17.5952 | + | 15.7100i | 0.604937 | + | 0.540120i | ||||
\(847\) | −28.2503 | −0.970691 | ||||||||
\(848\) | 10.0742 | + | 1.50592i | 0.345950 | + | 0.0517134i | ||||
\(849\) | 21.3120 | + | 5.38974i | 0.731426 | + | 0.184976i | ||||
\(850\) | −0.0264137 | − | 0.0884645i | −0.000905982 | − | 0.00303431i | ||||
\(851\) | −25.2805 | + | 6.77390i | −0.866605 | + | 0.232206i | ||||
\(852\) | 14.0005 | + | 20.7123i | 0.479650 | + | 0.709593i | ||||
\(853\) | −4.00831 | − | 1.07402i | −0.137242 | − | 0.0367739i | 0.189544 | − | 0.981872i | \(-0.439299\pi\) |
−0.326786 | + | 0.945098i | \(0.605966\pi\) | |||||||
\(854\) | −72.8075 | + | 2.06493i | −2.49142 | + | 0.0706606i | ||||
\(855\) | −40.7426 | + | 1.14891i | −1.39337 | + | 0.0392920i | ||||
\(856\) | −3.87187 | − | 45.4085i | −0.132338 | − | 1.55203i | ||||
\(857\) | −31.7416 | + | 18.3260i | −1.08427 | + | 0.626005i | −0.932046 | − | 0.362341i | \(-0.881978\pi\) |
−0.152227 | + | 0.988346i | \(0.548644\pi\) | |||||||
\(858\) | 0.266342 | + | 0.244638i | 0.00909278 | + | 0.00835182i | ||||
\(859\) | 10.6395 | + | 39.7072i | 0.363015 | + | 1.35479i | 0.870091 | + | 0.492890i | \(0.164060\pi\) |
−0.507076 | + | 0.861901i | \(0.669274\pi\) | |||||||
\(860\) | −8.60532 | + | 17.0720i | −0.293439 | + | 0.582150i | ||||
\(861\) | −19.3591 | + | 34.6498i | −0.659755 | + | 1.18086i | ||||
\(862\) | −11.5387 | + | 48.5268i | −0.393011 | + | 1.65283i | ||||
\(863\) | −31.7020 | −1.07915 | −0.539574 | − | 0.841938i | \(-0.681415\pi\) | ||||
−0.539574 | + | 0.841938i | \(0.681415\pi\) | |||||||
\(864\) | 26.5204 | − | 12.6756i | 0.902241 | − | 0.431231i | ||||
\(865\) | −20.5959 | −0.700283 | ||||||||
\(866\) | 13.3124 | − | 55.9862i | 0.452375 | − | 1.90249i | ||||
\(867\) | 14.3615 | − | 25.7048i | 0.487741 | − | 0.872982i | ||||
\(868\) | 10.7299 | − | 21.2869i | 0.364197 | − | 0.722526i | ||||
\(869\) | −7.80253 | − | 29.1195i | −0.264683 | − | 0.987810i | ||||
\(870\) | −8.24934 | − | 7.57711i | −0.279679 | − | 0.256888i | ||||
\(871\) | 0.268547 | − | 0.155046i | 0.00909936 | − | 0.00525352i | ||||
\(872\) | −47.5333 | + | 4.05305i | −1.60968 | + | 0.137253i | ||||
\(873\) | −13.3797 | + | 24.7610i | −0.452833 | + | 0.838032i | ||||
\(874\) | 31.0472 | − | 0.880546i | 1.05019 | − | 0.0297849i | ||||
\(875\) | 28.1414 | + | 7.54046i | 0.951352 | + | 0.254914i | ||||
\(876\) | −13.5631 | − | 20.0653i | −0.458256 | − | 0.677943i | ||||
\(877\) | −19.8514 | + | 5.31917i | −0.670335 | + | 0.179616i | −0.577906 | − | 0.816103i | \(-0.696130\pi\) |
−0.0924294 | + | 0.995719i | \(0.529463\pi\) | |||||||
\(878\) | 5.51168 | + | 18.4597i | 0.186010 | + | 0.622983i | ||||
\(879\) | 22.7319 | + | 5.74883i | 0.766728 | + | 0.193903i | ||||
\(880\) | −24.3005 | + | 17.9803i | −0.819170 | + | 0.606115i | ||||
\(881\) | 36.0840 | 1.21570 | 0.607850 | − | 0.794052i | \(-0.292032\pi\) | ||||
0.607850 | + | 0.794052i | \(0.292032\pi\) | |||||||
\(882\) | −12.0104 | + | 57.6910i | −0.404412 | + | 1.94256i | ||||
\(883\) | 28.2105 | + | 28.2105i | 0.949358 | + | 0.949358i | 0.998778 | − | 0.0494198i | \(-0.0157372\pi\) |
−0.0494198 | + | 0.998778i | \(0.515737\pi\) | |||||||
\(884\) | −0.00125477 | 0.000261012i | −4.22024e−5 | 8.77879e-6i | ||||||
\(885\) | −0.0192374 | − | 1.36466i | −0.000646659 | − | 0.0458725i | ||||
\(886\) | 6.78670 | − | 12.5646i | 0.228004 | − | 0.422116i | ||||
\(887\) | 13.2260 | + | 7.63604i | 0.444086 | + | 0.256393i | 0.705329 | − | 0.708880i | \(-0.250799\pi\) |
−0.261243 | + | 0.965273i | \(0.584133\pi\) | |||||||
\(888\) | 20.9954 | + | 9.48802i | 0.704559 | + | 0.318397i | ||||
\(889\) | 39.4927 | − | 22.8011i | 1.32454 | − | 0.764726i | ||||
\(890\) | 0.314845 | + | 11.1011i | 0.0105536 | + | 0.372111i | ||||
\(891\) | 13.1608 | − | 14.7354i | 0.440904 | − | 0.493654i | ||||
\(892\) | 2.16592 | + | 38.1533i | 0.0725202 | + | 1.27747i | ||||
\(893\) | 5.67888 | − | 21.1939i | 0.190037 | − | 0.709226i | ||||
\(894\) | 7.92093 | − | 15.1721i | 0.264916 | − | 0.507431i | ||||
\(895\) | −3.39851 | + | 5.88639i | −0.113600 | + | 0.196760i | ||||
\(896\) | −46.3279 | + | 22.9691i | −1.54771 | + | 0.767343i | ||||
\(897\) | 0.451892 | − | 0.464815i | 0.0150882 | − | 0.0155197i | ||||
\(898\) | −1.71335 | + | 7.20558i | −0.0571752 | + | 0.240453i | ||||
\(899\) | 2.44942 | + | 2.44942i | 0.0816926 | + | 0.0816926i | ||||
\(900\) | −23.4998 | − | 33.7308i | −0.783326 | − | 1.12436i | ||||
\(901\) | −0.0171569 | + | 0.0171569i | −0.000571580 | + | 0.000571580i | ||||
\(902\) | −13.2540 | + | 8.16176i | −0.441311 | + | 0.271757i | ||||
\(903\) | −5.38932 | + | 21.3103i | −0.179345 | + | 0.709163i | ||||
\(904\) | −5.49292 | − | 15.1958i | −0.182692 | − | 0.505406i | ||||
\(905\) | −7.69848 | − | 4.44472i | −0.255906 | − | 0.147747i | ||||
\(906\) | −32.5218 | − | 7.25029i | −1.08046 | − | 0.240875i | ||||
\(907\) | −4.91214 | − | 1.31620i | −0.163105 | − | 0.0437038i | 0.176342 | − | 0.984329i | \(-0.443573\pi\) |
−0.339447 | + | 0.940625i | \(0.610240\pi\) | |||||||
\(908\) | −0.107975 | + | 0.120972i | −0.00358328 | + | 0.00401460i | ||||
\(909\) | −15.4230 | − | 51.6850i | −0.511548 | − | 1.71428i | ||||
\(910\) | 1.02780 | − | 1.08780i | 0.0340713 | − | 0.0360603i | ||||
\(911\) | −1.04628 | − | 1.81220i | −0.0346647 | − | 0.0600410i | 0.848173 | − | 0.529720i | \(-0.177703\pi\) |
−0.882837 | + | 0.469679i | \(0.844370\pi\) | |||||||
\(912\) | −21.6354 | − | 16.7182i | −0.716420 | − | 0.553595i | ||||
\(913\) | 13.4890 | − | 23.3636i | 0.446419 | − | 0.773221i | ||||
\(914\) | −1.41761 | − | 4.74784i | −0.0468904 | − | 0.157045i | ||||
\(915\) | 32.7727 | − | 58.6583i | 1.08343 | − | 1.93918i | ||||
\(916\) | 1.43167 | − | 6.88249i | 0.0473037 | − | 0.227404i | ||||
\(917\) | 0.0331614 | − | 0.0331614i | 0.00109509 | − | 0.00109509i | ||||
\(918\) | −0.0133029 | + | 0.0687414i | −0.000439060 | + | 0.00226880i | ||||
\(919\) | − | 11.8733i | − | 0.391666i | −0.980637 | − | 0.195833i | \(-0.937259\pi\) | ||
0.980637 | − | 0.195833i | \(-0.0627410\pi\) | |||||||
\(920\) | 30.9831 | + | 44.4568i | 1.02148 | + | 1.46570i | ||||
\(921\) | −7.75156 | + | 2.19459i | −0.255423 | + | 0.0723141i | ||||
\(922\) | −41.3660 | − | 22.3436i | −1.36232 | − | 0.735847i | ||||
\(923\) | −0.125626 | − | 0.468841i | −0.00413502 | − | 0.0154321i | ||||
\(924\) | −22.7761 | + | 26.2534i | −0.749280 | + | 0.863674i | ||||
\(925\) | 8.33989 | − | 31.1249i | 0.274214 | − | 1.02338i | ||||
\(926\) | −30.1816 | − | 28.5168i | −0.991829 | − | 0.937121i | ||||
\(927\) | 0.493418 | + | 17.4975i | 0.0162060 | + | 0.574694i | ||||
\(928\) | −1.06169 | − | 7.43861i | −0.0348517 | − | 0.244184i | ||||
\(929\) | 3.14107 | + | 5.44050i | 0.103055 | + | 0.178497i | 0.912942 | − | 0.408089i | \(-0.133805\pi\) |
−0.809887 | + | 0.586586i | \(0.800471\pi\) | |||||||
\(930\) | 11.7938 | + | 18.5610i | 0.386735 | + | 0.608640i | ||||
\(931\) | 52.9468 | − | 14.1871i | 1.73526 | − | 0.464962i | ||||
\(932\) | 24.9943 | − | 49.5859i | 0.818715 | − | 1.62424i | ||||
\(933\) | −37.6111 | + | 22.4275i | −1.23133 | + | 0.734243i | ||||
\(934\) | 13.4656 | − | 8.29208i | 0.440609 | − | 0.271325i | ||||
\(935\) | − | 0.0720065i | − | 0.00235487i | ||||||
\(936\) | −0.567025 | + | 0.0644936i | −0.0185338 | + | 0.00210804i | ||||
\(937\) | 2.77088i | 0.0905208i | 0.998975 | + | 0.0452604i | \(0.0144117\pi\) | ||||
−0.998975 | + | 0.0452604i | \(0.985588\pi\) | |||||||
\(938\) | 15.6265 | + | 25.3762i | 0.510225 | + | 0.828562i | ||||
\(939\) | 0.110087 | + | 7.80931i | 0.00359255 | + | 0.254847i | ||||
\(940\) | 36.3549 | − | 11.9874i | 1.18577 | − | 0.390987i | ||||
\(941\) | 1.00278 | − | 0.268694i | 0.0326897 | − | 0.00875919i | −0.242437 | − | 0.970167i | \(-0.577947\pi\) |
0.275127 | + | 0.961408i | \(0.411280\pi\) | |||||||
\(942\) | −37.8286 | − | 19.7492i | −1.23252 | − | 0.643465i | ||||
\(943\) | 13.9511 | + | 24.1641i | 0.454311 | + | 0.786890i | ||||
\(944\) | 0.569960 | − | 0.716493i | 0.0185506 | − | 0.0233199i | ||||
\(945\) | −60.2045 | − | 55.3164i | −1.95845 | − | 1.79944i | ||||
\(946\) | −5.92020 | + | 6.26581i | −0.192482 | + | 0.203719i | ||||
\(947\) | 7.79291 | − | 29.0835i | 0.253236 | − | 0.945088i | −0.715828 | − | 0.698277i | \(-0.753951\pi\) |
0.969064 | − | 0.246811i | \(-0.0793828\pi\) | |||||||
\(948\) | 42.7781 | + | 20.8118i | 1.38937 | + | 0.675937i | ||||
\(949\) | 0.121701 | + | 0.454194i | 0.00395058 | + | 0.0147438i | ||||
\(950\) | −18.1735 | + | 33.6456i | −0.589626 | + | 1.09161i | ||||
\(951\) | 3.37781 | + | 3.28390i | 0.109533 | + | 0.106488i | ||||
\(952\) | 0.0216560 | − | 0.121254i | 0.000701876 | − | 0.00392986i | ||||
\(953\) | 29.6429i | 0.960227i | 0.877206 | + | 0.480113i | \(0.159404\pi\) | ||||
−0.877206 | + | 0.480113i | \(0.840596\pi\) | |||||||
\(954\) | −4.86459 | + | 9.64691i | −0.157497 | + | 0.312330i | ||||
\(955\) | 25.4413 | − | 25.4413i | 0.823262 | − | 0.823262i | ||||
\(956\) | 8.58164 | − | 5.62618i | 0.277550 | − | 0.181964i | ||||
\(957\) | −2.58665 | − | 4.33783i | −0.0836146 | − | 0.140222i | ||||
\(958\) | 15.3665 | − | 4.58813i | 0.496469 | − | 0.148236i | ||||
\(959\) | −10.6774 | + | 18.4938i | −0.344791 | + | 0.597195i | ||||
\(960\) | 3.69702 | − | 47.5588i | 0.119321 | − | 1.53495i | ||||
\(961\) | 12.0996 | + | 20.9571i | 0.390309 | + | 0.676035i | ||||
\(962\) | −0.325140 | − | 0.307205i | −0.0104829 | − | 0.00990470i | ||||
\(963\) | 47.0247 | + | 11.1896i | 1.51535 | + | 0.360581i | ||||
\(964\) | −0.165459 | − | 2.91462i | −0.00532908 | − | 0.0938735i | ||||
\(965\) | 80.1190 | + | 21.4678i | 2.57912 | + | 0.691074i | ||||
\(966\) | 45.8849 | + | 42.1457i | 1.47632 | + | 1.35602i | ||||
\(967\) | 5.94486 | + | 3.43226i | 0.191174 | + | 0.110374i | 0.592532 | − | 0.805547i | \(-0.298128\pi\) |
−0.401358 | + | 0.915921i | \(0.631462\pi\) | |||||||
\(968\) | 16.4413 | − | 5.94314i | 0.528445 | − | 0.191020i | ||||
\(969\) | 0.0626663 | − | 0.0177418i | 0.00201313 | − | 0.000569948i | ||||
\(970\) | 23.9497 | + | 38.8923i | 0.768979 | + | 1.24876i | ||||
\(971\) | 21.8370 | − | 21.8370i | 0.700784 | − | 0.700784i | −0.263795 | − | 0.964579i | \(-0.584974\pi\) |
0.964579 | + | 0.263795i | \(0.0849742\pi\) | |||||||
\(972\) | 3.95463 | + | 30.9251i | 0.126845 | + | 0.991923i | ||||
\(973\) | −19.7460 | − | 19.7460i | −0.633029 | − | 0.633029i | ||||
\(974\) | 38.5096 | + | 9.15684i | 1.23393 | + | 0.293404i | ||||
\(975\) | 0.217421 | + | 0.767958i | 0.00696304 | + | 0.0245943i | ||||
\(976\) | 41.9387 | − | 16.5186i | 1.34243 | − | 0.528748i | ||||
\(977\) | −4.93463 | + | 8.54704i | −0.157873 | + | 0.273444i | −0.934101 | − | 0.357008i | \(-0.883797\pi\) |
0.776228 | + | 0.630452i | \(0.217130\pi\) | |||||||
\(978\) | −1.19355 | − | 28.0998i | −0.0381655 | − | 0.898531i | ||||
\(979\) | −1.29602 | + | 4.83683i | −0.0414211 | + | 0.154586i | ||||
\(980\) | 71.3461 | + | 63.6808i | 2.27907 | + | 2.03421i | ||||
\(981\) | 11.7132 | − | 49.2252i | 0.373975 | − | 1.57164i | ||||
\(982\) | −18.4799 | + | 0.524119i | −0.589718 | + | 0.0167253i | ||||
\(983\) | −31.0817 | + | 17.9450i | −0.991351 | + | 0.572357i | −0.905678 | − | 0.423967i | \(-0.860637\pi\) |
−0.0856731 | + | 0.996323i | \(0.527304\pi\) | |||||||
\(984\) | 3.97731 | − | 24.2384i | 0.126792 | − | 0.772693i | ||||
\(985\) | −49.5143 | − | 28.5871i | −1.57766 | − | 0.910860i | ||||
\(986\) | 0.0157480 | + | 0.00850619i | 0.000501519 | + | 0.000270892i | ||||
\(987\) | 37.8023 | − | 22.5415i | 1.20326 | − | 0.717505i | ||||
\(988\) | 0.291052 | + | 0.443943i | 0.00925960 | + | 0.0141237i | ||||
\(989\) | 10.9266 | + | 10.9266i | 0.347445 | + | 0.347445i | ||||
\(990\) | −10.0355 | − | 30.4519i | −0.318951 | − | 0.967825i | ||||
\(991\) | 20.3758 | 0.647258 | 0.323629 | − | 0.946184i | \(-0.395097\pi\) | ||||
0.323629 | + | 0.946184i | \(0.395097\pi\) | |||||||
\(992\) | −1.76645 | + | 14.6461i | −0.0560849 | + | 0.465013i | ||||
\(993\) | −37.5205 | + | 38.5935i | −1.19068 | + | 1.22473i | ||||
\(994\) | 44.6981 | − | 13.3460i | 1.41774 | − | 0.423308i | ||||
\(995\) | −29.4442 | + | 7.88956i | −0.933445 | + | 0.250116i | ||||
\(996\) | 13.8998 | + | 40.2386i | 0.440434 | + | 1.27501i | ||||
\(997\) | −38.8498 | − | 10.4098i | −1.23038 | − | 0.329680i | −0.415655 | − | 0.909522i | \(-0.636448\pi\) |
−0.814729 | + | 0.579842i | \(0.803114\pi\) | |||||||
\(998\) | 0.605528 | + | 21.3503i | 0.0191676 | + | 0.675832i | ||||
\(999\) | −16.5338 | + | 17.9948i | −0.523107 | + | 0.569332i |
(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 | 144.2.x.e.13.10 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.9 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.13 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.16 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.3 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.18 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.3 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.2 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.2 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.1 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.16 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.1 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.18 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.13 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.9 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.10 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.10 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.3 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.3 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.10 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.16 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.9 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.9 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.16 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.2 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.13 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.13 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.2 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.18 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.1 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.1 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.18 | 72 | 144.11 | even | 12 |