Newspace parameters
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.p (of order \(18\), degree \(6\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 9.8 | ||
Character | \(\chi\) | \(=\) | 95.9 |
Dual form | 95.2.p.a.74.8 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.93197 | − | 0.340658i | 1.36611 | − | 0.240881i | 0.557963 | − | 0.829866i | \(-0.311583\pi\) |
0.808144 | + | 0.588985i | \(0.200472\pi\) | |||||||
\(3\) | 0.120656 | + | 0.143793i | 0.0696611 | + | 0.0830188i | 0.799750 | − | 0.600334i | \(-0.204966\pi\) |
−0.730088 | + | 0.683353i | \(0.760521\pi\) | |||||||
\(4\) | 1.73706 | − | 0.632239i | 0.868531 | − | 0.316120i | ||||
\(5\) | −2.15043 | + | 0.612911i | −0.961701 | + | 0.274102i | ||||
\(6\) | 0.282088 | + | 0.236700i | 0.115162 | + | 0.0966325i | ||||
\(7\) | 0.586358 | + | 0.338534i | 0.221622 | + | 0.127954i | 0.606701 | − | 0.794930i | \(-0.292492\pi\) |
−0.385079 | + | 0.922884i | \(0.625826\pi\) | |||||||
\(8\) | −0.257316 | + | 0.148561i | −0.0909749 | + | 0.0525244i | ||||
\(9\) | 0.514826 | − | 2.91972i | 0.171609 | − | 0.973241i | ||||
\(10\) | −3.94576 | + | 1.91668i | −1.24776 | + | 0.606109i | ||||
\(11\) | −1.42035 | − | 2.46011i | −0.428250 | − | 0.741751i | 0.568468 | − | 0.822706i | \(-0.307536\pi\) |
−0.996718 | + | 0.0809546i | \(0.974203\pi\) | |||||||
\(12\) | 0.300499 | + | 0.173493i | 0.0867467 | + | 0.0500832i | ||||
\(13\) | −3.06393 | + | 3.65145i | −0.849781 | + | 1.01273i | 0.149930 | + | 0.988697i | \(0.452095\pi\) |
−0.999711 | + | 0.0240334i | \(0.992349\pi\) | |||||||
\(14\) | 1.24815 | + | 0.454289i | 0.333581 | + | 0.121414i | ||||
\(15\) | −0.347595 | − | 0.235264i | −0.0897487 | − | 0.0607450i | ||||
\(16\) | −3.27865 | + | 2.75111i | −0.819663 | + | 0.687779i | ||||
\(17\) | 5.10518 | − | 0.900181i | 1.23819 | − | 0.218326i | 0.484049 | − | 0.875041i | \(-0.339166\pi\) |
0.754139 | + | 0.656715i | \(0.228054\pi\) | |||||||
\(18\) | − | 5.81619i | − | 1.37089i | ||||||
\(19\) | 3.00824 | + | 3.15444i | 0.690138 | + | 0.723678i | ||||
\(20\) | −3.34792 | + | 2.42425i | −0.748618 | + | 0.542079i | ||||
\(21\) | 0.0220691 | + | 0.125160i | 0.00481588 | + | 0.0273122i | ||||
\(22\) | −3.58212 | − | 4.26900i | −0.763710 | − | 0.910154i | ||||
\(23\) | −0.359434 | − | 0.987537i | −0.0749472 | − | 0.205916i | 0.896562 | − | 0.442919i | \(-0.146057\pi\) |
−0.971509 | + | 0.237003i | \(0.923835\pi\) | |||||||
\(24\) | −0.0524089 | − | 0.0190753i | −0.0106979 | − | 0.00389373i | ||||
\(25\) | 4.24868 | − | 2.63604i | 0.849736 | − | 0.527208i | ||||
\(26\) | −4.67552 | + | 8.09823i | −0.916944 | + | 1.58819i | ||||
\(27\) | 0.969633 | − | 0.559818i | 0.186606 | − | 0.107737i | ||||
\(28\) | 1.23257 | + | 0.217336i | 0.232935 | + | 0.0410727i | ||||
\(29\) | 0.247630 | − | 1.40438i | 0.0459838 | − | 0.260787i | −0.953145 | − | 0.302513i | \(-0.902175\pi\) |
0.999129 | + | 0.0417259i | \(0.0132856\pi\) | |||||||
\(30\) | −0.751687 | − | 0.336112i | −0.137239 | − | 0.0613654i | ||||
\(31\) | −0.135532 | + | 0.234748i | −0.0243422 | + | 0.0421620i | −0.877940 | − | 0.478771i | \(-0.841082\pi\) |
0.853598 | + | 0.520933i | \(0.174416\pi\) | |||||||
\(32\) | −5.01508 | + | 5.97674i | −0.886549 | + | 1.05655i | ||||
\(33\) | 0.182372 | − | 0.501064i | 0.0317469 | − | 0.0872240i | ||||
\(34\) | 9.55639 | − | 3.47824i | 1.63891 | − | 0.596513i | ||||
\(35\) | −1.46841 | − | 0.368607i | −0.248207 | − | 0.0623060i | ||||
\(36\) | −0.951679 | − | 5.39724i | −0.158613 | − | 0.899540i | ||||
\(37\) | − | 0.603754i | − | 0.0992566i | −0.998768 | − | 0.0496283i | \(-0.984196\pi\) | ||
0.998768 | − | 0.0496283i | \(-0.0158037\pi\) | |||||||
\(38\) | 6.88641 | + | 5.06949i | 1.11712 | + | 0.822380i | ||||
\(39\) | −0.894735 | −0.143272 | ||||||||
\(40\) | 0.462285 | − | 0.477182i | 0.0730936 | − | 0.0754492i | ||||
\(41\) | 5.15980 | − | 4.32958i | 0.805825 | − | 0.676167i | −0.143783 | − | 0.989609i | \(-0.545927\pi\) |
0.949607 | + | 0.313442i | \(0.101482\pi\) | |||||||
\(42\) | 0.0852737 | + | 0.234288i | 0.0131580 | + | 0.0361513i | ||||
\(43\) | −1.92538 | + | 5.28994i | −0.293618 | + | 0.806709i | 0.701912 | + | 0.712264i | \(0.252330\pi\) |
−0.995530 | + | 0.0944453i | \(0.969892\pi\) | |||||||
\(44\) | −4.02261 | − | 3.37537i | −0.606431 | − | 0.508856i | ||||
\(45\) | 0.682434 | + | 6.59420i | 0.101731 | + | 0.983005i | ||||
\(46\) | −1.03083 | − | 1.78544i | −0.151987 | − | 0.263249i | ||||
\(47\) | −7.77543 | − | 1.37102i | −1.13416 | − | 0.199983i | −0.425112 | − | 0.905141i | \(-0.639765\pi\) |
−0.709051 | + | 0.705157i | \(0.750876\pi\) | |||||||
\(48\) | −0.791181 | − | 0.139507i | −0.114197 | − | 0.0201360i | ||||
\(49\) | −3.27079 | − | 5.66517i | −0.467256 | − | 0.809311i | ||||
\(50\) | 7.31032 | − | 6.54009i | 1.03384 | − | 0.924908i | ||||
\(51\) | 0.745413 | + | 0.625476i | 0.104379 | + | 0.0875841i | ||||
\(52\) | −3.01365 | + | 8.27993i | −0.417918 | + | 1.14822i | ||||
\(53\) | −2.35594 | − | 6.47288i | −0.323613 | − | 0.889118i | −0.989689 | − | 0.143235i | \(-0.954250\pi\) |
0.666076 | − | 0.745884i | \(-0.267973\pi\) | |||||||
\(54\) | 1.68259 | − | 1.41186i | 0.228972 | − | 0.192130i | ||||
\(55\) | 4.56218 | + | 4.41974i | 0.615164 | + | 0.595958i | ||||
\(56\) | −0.201172 | −0.0268828 | ||||||||
\(57\) | −0.0906217 | + | 0.813167i | −0.0120031 | + | 0.107707i | ||||
\(58\) | − | 2.79757i | − | 0.367339i | ||||||
\(59\) | 1.75779 | + | 9.96889i | 0.228844 | + | 1.29784i | 0.855198 | + | 0.518301i | \(0.173435\pi\) |
−0.626354 | + | 0.779539i | \(0.715454\pi\) | |||||||
\(60\) | −0.752538 | − | 0.188906i | −0.0971522 | − | 0.0243876i | ||||
\(61\) | 7.02134 | − | 2.55556i | 0.898990 | − | 0.327206i | 0.149142 | − | 0.988816i | \(-0.452349\pi\) |
0.749848 | + | 0.661610i | \(0.230127\pi\) | |||||||
\(62\) | −0.181874 | + | 0.499695i | −0.0230980 | + | 0.0634614i | ||||
\(63\) | 1.29030 | − | 1.53772i | 0.162562 | − | 0.193734i | ||||
\(64\) | −3.37297 | + | 5.84216i | −0.421622 | + | 0.730270i | ||||
\(65\) | 4.35075 | − | 9.73010i | 0.539644 | − | 1.20687i | ||||
\(66\) | 0.181646 | − | 1.03016i | 0.0223591 | − | 0.126805i | ||||
\(67\) | −4.05478 | − | 0.714967i | −0.495370 | − | 0.0873472i | −0.0796188 | − | 0.996825i | \(-0.525370\pi\) |
−0.415752 | + | 0.909478i | \(0.636481\pi\) | |||||||
\(68\) | 8.29889 | − | 4.79137i | 1.00639 | − | 0.581039i | ||||
\(69\) | 0.0986326 | − | 0.170837i | 0.0118740 | − | 0.0205663i | ||||
\(70\) | −2.96249 | − | 0.211912i | −0.354085 | − | 0.0253283i | ||||
\(71\) | 7.14680 | + | 2.60122i | 0.848169 | + | 0.308708i | 0.729294 | − | 0.684201i | \(-0.239849\pi\) |
0.118875 | + | 0.992909i | \(0.462071\pi\) | |||||||
\(72\) | 0.301285 | + | 0.827775i | 0.0355068 | + | 0.0975542i | ||||
\(73\) | 10.3665 | + | 12.3543i | 1.21330 | + | 1.44596i | 0.859879 | + | 0.510497i | \(0.170539\pi\) |
0.353425 | + | 0.935463i | \(0.385017\pi\) | |||||||
\(74\) | −0.205674 | − | 1.16643i | −0.0239091 | − | 0.135595i | ||||
\(75\) | 0.891675 | + | 0.292874i | 0.102962 | + | 0.0338182i | ||||
\(76\) | 7.21986 | + | 3.57753i | 0.828175 | + | 0.410371i | ||||
\(77\) | − | 1.92334i | − | 0.219185i | ||||||
\(78\) | −1.72860 | + | 0.304799i | −0.195725 | + | 0.0345117i | ||||
\(79\) | −11.3733 | + | 9.54332i | −1.27959 | + | 1.07371i | −0.286294 | + | 0.958142i | \(0.592423\pi\) |
−0.993300 | + | 0.115565i | \(0.963132\pi\) | |||||||
\(80\) | 5.36431 | − | 7.92559i | 0.599748 | − | 0.886108i | ||||
\(81\) | −8.16041 | − | 2.97015i | −0.906713 | − | 0.330016i | ||||
\(82\) | 8.49365 | − | 10.1223i | 0.937966 | − | 1.11782i | ||||
\(83\) | −12.2815 | − | 7.09076i | −1.34808 | − | 0.778312i | −0.360098 | − | 0.932914i | \(-0.617257\pi\) |
−0.987977 | + | 0.154603i | \(0.950590\pi\) | |||||||
\(84\) | 0.117467 | + | 0.203458i | 0.0128167 | + | 0.0221991i | ||||
\(85\) | −10.4266 | + | 5.06480i | −1.13092 | + | 0.549354i | ||||
\(86\) | −1.91771 | + | 10.8759i | −0.206792 | + | 1.17278i | ||||
\(87\) | 0.231818 | − | 0.133840i | 0.0248535 | − | 0.0143492i | ||||
\(88\) | 0.730955 | + | 0.422017i | 0.0779201 | + | 0.0449872i | ||||
\(89\) | −6.31059 | − | 5.29521i | −0.668921 | − | 0.561291i | 0.243825 | − | 0.969819i | \(-0.421598\pi\) |
−0.912746 | + | 0.408528i | \(0.866042\pi\) | |||||||
\(90\) | 3.56481 | + | 12.5073i | 0.375763 | + | 1.31838i | ||||
\(91\) | −3.03270 | + | 1.10381i | −0.317913 | + | 0.115711i | ||||
\(92\) | −1.24872 | − | 1.48817i | −0.130188 | − | 0.155152i | ||||
\(93\) | −0.0501079 | + | 0.00883537i | −0.00519594 | + | 0.000916185i | ||||
\(94\) | −15.4889 | −1.59756 | ||||||||
\(95\) | −8.40240 | − | 4.93961i | −0.862068 | − | 0.506793i | ||||
\(96\) | −1.46451 | −0.149471 | ||||||||
\(97\) | −5.64144 | + | 0.994738i | −0.572801 | + | 0.101000i | −0.452543 | − | 0.891742i | \(-0.649483\pi\) |
−0.120258 | + | 0.992743i | \(0.538372\pi\) | |||||||
\(98\) | −8.24894 | − | 9.83071i | −0.833269 | − | 0.993051i | ||||
\(99\) | −7.91407 | + | 2.88049i | −0.795394 | + | 0.289500i | ||||
\(100\) | 5.71362 | − | 7.26515i | 0.571362 | − | 0.726515i | ||||
\(101\) | −1.54918 | − | 1.29992i | −0.154149 | − | 0.129347i | 0.562451 | − | 0.826831i | \(-0.309858\pi\) |
−0.716601 | + | 0.697484i | \(0.754303\pi\) | |||||||
\(102\) | 1.65319 | + | 0.954467i | 0.163690 | + | 0.0945064i | ||||
\(103\) | −15.7927 | + | 9.11792i | −1.55610 | + | 0.898415i | −0.558477 | + | 0.829520i | \(0.688614\pi\) |
−0.997624 | + | 0.0688957i | \(0.978052\pi\) | |||||||
\(104\) | 0.245934 | − | 1.39476i | 0.0241158 | − | 0.136767i | ||||
\(105\) | −0.124170 | − | 0.255622i | −0.0121178 | − | 0.0249461i | ||||
\(106\) | −6.75663 | − | 11.7028i | −0.656262 | − | 1.13668i | ||||
\(107\) | 5.38097 | + | 3.10671i | 0.520198 | + | 0.300337i | 0.737016 | − | 0.675876i | \(-0.236234\pi\) |
−0.216817 | + | 0.976212i | \(0.569568\pi\) | |||||||
\(108\) | 1.33037 | − | 1.58548i | 0.128015 | − | 0.152563i | ||||
\(109\) | 15.0243 | + | 5.46840i | 1.43907 | + | 0.523777i | 0.939515 | − | 0.342507i | \(-0.111276\pi\) |
0.499551 | + | 0.866284i | \(0.333498\pi\) | |||||||
\(110\) | 10.3196 | + | 6.98466i | 0.983935 | + | 0.665961i | ||||
\(111\) | 0.0868155 | − | 0.0728469i | 0.00824017 | − | 0.00691432i | ||||
\(112\) | −2.85381 | + | 0.503203i | −0.269659 | + | 0.0475482i | ||||
\(113\) | − | 7.88392i | − | 0.741657i | −0.928701 | − | 0.370828i | \(-0.879074\pi\) | ||
0.928701 | − | 0.370828i | \(-0.120926\pi\) | |||||||
\(114\) | 0.101934 | + | 1.60188i | 0.00954696 | + | 0.150030i | ||||
\(115\) | 1.37821 | + | 1.90333i | 0.128519 | + | 0.177486i | ||||
\(116\) | −0.457755 | − | 2.59606i | −0.0425015 | − | 0.241038i | ||||
\(117\) | 9.08384 | + | 10.8257i | 0.839801 | + | 1.00084i | ||||
\(118\) | 6.79196 | + | 18.6608i | 0.625251 | + | 1.71786i | ||||
\(119\) | 3.29820 | + | 1.20045i | 0.302346 | + | 0.110045i | ||||
\(120\) | 0.124393 | + | 0.00889804i | 0.0113555 | + | 0.000812276i | ||||
\(121\) | 1.46524 | − | 2.53787i | 0.133204 | − | 0.230715i | ||||
\(122\) | 12.6944 | − | 7.32913i | 1.14930 | − | 0.663548i | ||||
\(123\) | 1.24513 | + | 0.219549i | 0.112269 | + | 0.0197961i | ||||
\(124\) | −0.0870104 | + | 0.493461i | −0.00781376 | + | 0.0443141i | ||||
\(125\) | −7.52082 | + | 8.27268i | −0.672683 | + | 0.739931i | ||||
\(126\) | 1.96898 | − | 3.41037i | 0.175410 | − | 0.303820i | ||||
\(127\) | 10.1395 | − | 12.0838i | 0.899736 | − | 1.07226i | −0.0972942 | − | 0.995256i | \(-0.531019\pi\) |
0.997030 | − | 0.0770082i | \(-0.0245368\pi\) | |||||||
\(128\) | 0.810645 | − | 2.22723i | 0.0716516 | − | 0.196861i | ||||
\(129\) | −0.992966 | + | 0.361410i | −0.0874258 | + | 0.0318204i | ||||
\(130\) | 5.09087 | − | 20.2803i | 0.446499 | − | 1.77870i | ||||
\(131\) | −0.706095 | − | 4.00446i | −0.0616918 | − | 0.349872i | −0.999992 | − | 0.00404921i | \(-0.998711\pi\) |
0.938300 | − | 0.345822i | \(-0.112400\pi\) | |||||||
\(132\) | − | 0.985682i | − | 0.0857926i | ||||||
\(133\) | 0.696022 | + | 2.86802i | 0.0603527 | + | 0.248689i | ||||
\(134\) | −8.07726 | −0.697769 | ||||||||
\(135\) | −1.74201 | + | 1.79815i | −0.149928 | + | 0.154760i | ||||
\(136\) | −1.17991 | + | 0.990064i | −0.101177 | + | 0.0848973i | ||||
\(137\) | −0.893360 | − | 2.45449i | −0.0763249 | − | 0.209701i | 0.895662 | − | 0.444735i | \(-0.146702\pi\) |
−0.971987 | + | 0.235034i | \(0.924480\pi\) | |||||||
\(138\) | 0.132358 | − | 0.363651i | 0.0112671 | − | 0.0309560i | ||||
\(139\) | −6.87238 | − | 5.76661i | −0.582908 | − | 0.489118i | 0.302993 | − | 0.952993i | \(-0.402014\pi\) |
−0.885901 | + | 0.463875i | \(0.846459\pi\) | |||||||
\(140\) | −2.78377 | + | 0.288092i | −0.235271 | + | 0.0243483i | ||||
\(141\) | −0.741013 | − | 1.28347i | −0.0624046 | − | 0.108088i | ||||
\(142\) | 14.6935 | + | 2.59086i | 1.23305 | + | 0.217420i | ||||
\(143\) | 13.3348 | + | 2.35129i | 1.11511 | + | 0.196624i | ||||
\(144\) | 6.34456 | + | 10.9891i | 0.528713 | + | 0.915758i | ||||
\(145\) | 0.328249 | + | 3.17179i | 0.0272596 | + | 0.263403i | ||||
\(146\) | 24.2363 | + | 20.3367i | 2.00581 | + | 1.68307i | ||||
\(147\) | 0.419969 | − | 1.15386i | 0.0346385 | − | 0.0951684i | ||||
\(148\) | −0.381717 | − | 1.04876i | −0.0313770 | − | 0.0862075i | ||||
\(149\) | 1.32378 | − | 1.11078i | 0.108448 | − | 0.0909989i | −0.586951 | − | 0.809622i | \(-0.699672\pi\) |
0.695399 | + | 0.718623i | \(0.255227\pi\) | |||||||
\(150\) | 1.82246 | + | 0.262067i | 0.148803 | + | 0.0213977i | ||||
\(151\) | 11.0738 | 0.901177 | 0.450589 | − | 0.892732i | \(-0.351214\pi\) | ||||
0.450589 | + | 0.892732i | \(0.351214\pi\) | |||||||
\(152\) | −1.24270 | − | 0.364779i | −0.100796 | − | 0.0295875i | ||||
\(153\) | − | 15.3692i | − | 1.24252i | ||||||
\(154\) | −0.655201 | − | 3.71583i | −0.0527976 | − | 0.299430i | ||||
\(155\) | 0.147572 | − | 0.587878i | 0.0118533 | − | 0.0472195i | ||||
\(156\) | −1.55421 | + | 0.565687i | −0.124437 | + | 0.0452912i | ||||
\(157\) | 0.671940 | − | 1.84614i | 0.0536267 | − | 0.147338i | −0.909987 | − | 0.414637i | \(-0.863909\pi\) |
0.963614 | + | 0.267298i | \(0.0861310\pi\) | |||||||
\(158\) | −18.7218 | + | 22.3118i | −1.48943 | + | 1.77503i | ||||
\(159\) | 0.646495 | − | 1.11976i | 0.0512704 | − | 0.0888029i | ||||
\(160\) | 7.12136 | − | 15.9263i | 0.562993 | − | 1.25909i | ||||
\(161\) | 0.123558 | − | 0.700730i | 0.00973771 | − | 0.0552253i | ||||
\(162\) | −16.7775 | − | 2.95832i | −1.31816 | − | 0.232427i | ||||
\(163\) | 17.4341 | − | 10.0656i | 1.36554 | − | 0.788395i | 0.375186 | − | 0.926950i | \(-0.377579\pi\) |
0.990355 | + | 0.138555i | \(0.0442457\pi\) | |||||||
\(164\) | 6.22556 | − | 10.7830i | 0.486134 | − | 0.842009i | ||||
\(165\) | −0.0850711 | + | 1.18928i | −0.00662277 | + | 0.0925853i | ||||
\(166\) | −26.1431 | − | 9.51530i | −2.02910 | − | 0.738530i | ||||
\(167\) | 6.10733 | + | 16.7798i | 0.472600 | + | 1.29846i | 0.915656 | + | 0.401963i | \(0.131672\pi\) |
−0.443056 | + | 0.896494i | \(0.646106\pi\) | |||||||
\(168\) | −0.0242727 | − | 0.0289271i | −0.00187268 | − | 0.00223178i | ||||
\(169\) | −1.68799 | − | 9.57308i | −0.129846 | − | 0.736391i | ||||
\(170\) | −18.4185 | + | 13.3369i | −1.41263 | + | 1.02289i | ||||
\(171\) | 10.7588 | − | 7.15925i | 0.822747 | − | 0.547481i | ||||
\(172\) | 10.4063i | 0.793470i | ||||||||
\(173\) | 2.68082 | − | 0.472701i | 0.203819 | − | 0.0359388i | −0.0708064 | − | 0.997490i | \(-0.522557\pi\) |
0.274625 | + | 0.961551i | \(0.411446\pi\) | |||||||
\(174\) | 0.402271 | − | 0.337545i | 0.0304961 | − | 0.0255893i | ||||
\(175\) | 3.38364 | − | 0.107341i | 0.255779 | − | 0.00811421i | ||||
\(176\) | 11.4249 | + | 4.15831i | 0.861181 | + | 0.313444i | ||||
\(177\) | −1.22137 | + | 1.45557i | −0.0918036 | + | 0.109407i | ||||
\(178\) | −13.9957 | − | 8.08042i | −1.04902 | − | 0.605653i | ||||
\(179\) | 3.85817 | + | 6.68254i | 0.288373 | + | 0.499477i | 0.973422 | − | 0.229021i | \(-0.0735524\pi\) |
−0.685049 | + | 0.728497i | \(0.740219\pi\) | |||||||
\(180\) | 5.35454 | + | 11.0231i | 0.399104 | + | 0.821612i | ||||
\(181\) | −0.185874 | + | 1.05414i | −0.0138159 | + | 0.0783537i | −0.990936 | − | 0.134334i | \(-0.957111\pi\) |
0.977120 | + | 0.212688i | \(0.0682217\pi\) | |||||||
\(182\) | −5.48305 | + | 3.16564i | −0.406431 | + | 0.234653i | ||||
\(183\) | 1.21464 | + | 0.701273i | 0.0897888 | + | 0.0518396i | ||||
\(184\) | 0.239198 | + | 0.200711i | 0.0176339 | + | 0.0147966i | ||||
\(185\) | 0.370048 | + | 1.29833i | 0.0272064 | + | 0.0954551i | ||||
\(186\) | −0.0937969 | + | 0.0341393i | −0.00687752 | + | 0.00250321i | ||||
\(187\) | −9.46566 | − | 11.2807i | −0.692198 | − | 0.824929i | ||||
\(188\) | −14.3732 | + | 2.53439i | −1.04827 | + | 0.184839i | ||||
\(189\) | 0.758069 | 0.0551414 | ||||||||
\(190\) | −17.9159 | − | 6.68082i | −1.29975 | − | 0.484677i | ||||
\(191\) | 5.38296 | 0.389497 | 0.194749 | − | 0.980853i | \(-0.437611\pi\) | ||||
0.194749 | + | 0.980853i | \(0.437611\pi\) | |||||||
\(192\) | −1.24703 | + | 0.219885i | −0.0899967 | + | 0.0158689i | ||||
\(193\) | 9.94387 | + | 11.8506i | 0.715775 | + | 0.853028i | 0.994213 | − | 0.107426i | \(-0.0342610\pi\) |
−0.278438 | + | 0.960454i | \(0.589817\pi\) | |||||||
\(194\) | −10.5602 | + | 3.84360i | −0.758179 | + | 0.275954i | ||||
\(195\) | 1.92406 | − | 0.548393i | 0.137785 | − | 0.0392712i | ||||
\(196\) | −9.26331 | − | 7.77284i | −0.661665 | − | 0.555203i | ||||
\(197\) | −18.3882 | − | 10.6164i | −1.31010 | − | 0.756388i | −0.327989 | − | 0.944682i | \(-0.606371\pi\) |
−0.982113 | + | 0.188294i | \(0.939704\pi\) | |||||||
\(198\) | −14.3085 | + | 8.26100i | −1.01686 | + | 0.587083i | ||||
\(199\) | −1.31646 | + | 7.46602i | −0.0933214 | + | 0.529252i | 0.901927 | + | 0.431888i | \(0.142152\pi\) |
−0.995249 | + | 0.0973643i | \(0.968959\pi\) | |||||||
\(200\) | −0.701639 | + | 1.30949i | −0.0496134 | + | 0.0925946i | ||||
\(201\) | −0.386429 | − | 0.669314i | −0.0272566 | − | 0.0472098i | ||||
\(202\) | −3.43580 | − | 1.98366i | −0.241742 | − | 0.139570i | ||||
\(203\) | 0.620630 | − | 0.739638i | 0.0435597 | − | 0.0519124i | ||||
\(204\) | 1.69028 | + | 0.615211i | 0.118343 | + | 0.0430734i | ||||
\(205\) | −8.44212 | + | 12.4729i | −0.589623 | + | 0.871149i | ||||
\(206\) | −27.4049 | + | 22.9954i | −1.90939 | + | 1.60217i | ||||
\(207\) | −3.06838 | + | 0.541038i | −0.213267 | + | 0.0376048i | ||||
\(208\) | − | 20.4011i | − | 1.41456i | ||||||
\(209\) | 3.48752 | − | 11.8810i | 0.241237 | − | 0.821826i | ||||
\(210\) | −0.326972 | − | 0.451553i | −0.0225632 | − | 0.0311601i | ||||
\(211\) | −2.30936 | − | 13.0971i | −0.158983 | − | 0.901639i | −0.955053 | − | 0.296434i | \(-0.904202\pi\) |
0.796070 | − | 0.605204i | \(-0.206909\pi\) | |||||||
\(212\) | −8.18481 | − | 9.75428i | −0.562135 | − | 0.669927i | ||||
\(213\) | 0.488271 | + | 1.34151i | 0.0334558 | + | 0.0919189i | ||||
\(214\) | 11.4542 | + | 4.16898i | 0.782992 | + | 0.284986i | ||||
\(215\) | 0.898132 | − | 12.5557i | 0.0612521 | − | 0.856294i | ||||
\(216\) | −0.166335 | + | 0.288100i | −0.0113176 | + | 0.0196027i | ||||
\(217\) | −0.158940 | + | 0.0917642i | −0.0107896 | + | 0.00622936i | ||||
\(218\) | 30.8893 | + | 5.44661i | 2.09209 | + | 0.368891i | ||||
\(219\) | −0.525675 | + | 2.98125i | −0.0355218 | + | 0.201454i | ||||
\(220\) | 10.7191 | + | 4.79299i | 0.722683 | + | 0.323143i | ||||
\(221\) | −12.3550 | + | 21.3994i | −0.831084 | + | 1.43948i | ||||
\(222\) | 0.142909 | − | 0.170312i | 0.00959142 | − | 0.0114306i | ||||
\(223\) | 6.79915 | − | 18.6805i | 0.455304 | − | 1.25094i | −0.473640 | − | 0.880719i | \(-0.657060\pi\) |
0.928944 | − | 0.370220i | \(-0.120718\pi\) | |||||||
\(224\) | −4.96396 | + | 1.80673i | −0.331668 | + | 0.120717i | ||||
\(225\) | −5.50918 | − | 13.7621i | −0.367279 | − | 0.917472i | ||||
\(226\) | −2.68572 | − | 15.2315i | −0.178651 | − | 1.01318i | ||||
\(227\) | 27.3022i | 1.81211i | 0.423163 | + | 0.906054i | \(0.360920\pi\) | ||||
−0.423163 | + | 0.906054i | \(0.639080\pi\) | |||||||
\(228\) | 0.356700 | + | 1.46982i | 0.0236231 | + | 0.0973410i | ||||
\(229\) | 14.6429 | 0.967633 | 0.483816 | − | 0.875170i | \(-0.339250\pi\) | ||||
0.483816 | + | 0.875170i | \(0.339250\pi\) | |||||||
\(230\) | 3.31104 | + | 3.20766i | 0.218323 | + | 0.211507i | ||||
\(231\) | 0.276562 | − | 0.232063i | 0.0181965 | − | 0.0152686i | ||||
\(232\) | 0.144918 | + | 0.398158i | 0.00951431 | + | 0.0261403i | ||||
\(233\) | 2.26737 | − | 6.22953i | 0.148540 | − | 0.408110i | −0.843000 | − | 0.537914i | \(-0.819212\pi\) |
0.991540 | + | 0.129804i | \(0.0414347\pi\) | |||||||
\(234\) | 21.2375 | + | 17.8204i | 1.38834 | + | 1.16496i | ||||
\(235\) | 17.5608 | − | 1.81737i | 1.14554 | − | 0.118552i | ||||
\(236\) | 9.35611 | + | 16.2053i | 0.609031 | + | 1.05487i | ||||
\(237\) | −2.74452 | − | 0.483933i | −0.178276 | − | 0.0314348i | ||||
\(238\) | 6.78096 | + | 1.19567i | 0.439544 | + | 0.0775036i | ||||
\(239\) | −6.33959 | − | 10.9805i | −0.410074 | − | 0.710269i | 0.584823 | − | 0.811161i | \(-0.301164\pi\) |
−0.994897 | + | 0.100892i | \(0.967830\pi\) | |||||||
\(240\) | 1.78688 | − | 0.184925i | 0.115343 | − | 0.0119368i | ||||
\(241\) | 10.8118 | + | 9.07218i | 0.696450 | + | 0.584391i | 0.920761 | − | 0.390127i | \(-0.127569\pi\) |
−0.224311 | + | 0.974518i | \(0.572013\pi\) | |||||||
\(242\) | 1.96625 | − | 5.40222i | 0.126395 | − | 0.347268i | ||||
\(243\) | −1.70633 | − | 4.68812i | −0.109461 | − | 0.300743i | ||||
\(244\) | 10.5808 | − | 8.87833i | 0.677365 | − | 0.568377i | ||||
\(245\) | 10.5058 | + | 10.1778i | 0.671194 | + | 0.650239i | ||||
\(246\) | 2.48033 | 0.158140 | ||||||||
\(247\) | −20.7353 | + | 1.31946i | −1.31936 | + | 0.0839555i | ||||
\(248\) | − | 0.0805392i | − | 0.00511425i | ||||||
\(249\) | −0.462249 | − | 2.62154i | −0.0292938 | − | 0.166134i | ||||
\(250\) | −11.7118 | + | 18.5446i | −0.740721 | + | 1.17286i | ||||
\(251\) | −6.55337 | + | 2.38523i | −0.413645 | + | 0.150554i | −0.540456 | − | 0.841372i | \(-0.681748\pi\) |
0.126811 | + | 0.991927i | \(0.459526\pi\) | |||||||
\(252\) | 1.26912 | − | 3.48689i | 0.0799472 | − | 0.219653i | ||||
\(253\) | −1.91893 | + | 2.28689i | −0.120642 | + | 0.143776i | ||||
\(254\) | 15.4728 | − | 26.7996i | 0.970847 | − | 1.68156i | ||||
\(255\) | −1.98632 | − | 0.888169i | −0.124388 | − | 0.0556193i | ||||
\(256\) | 3.15026 | − | 17.8660i | 0.196891 | − | 1.11663i | ||||
\(257\) | 15.5410 | + | 2.74031i | 0.969424 | + | 0.170936i | 0.635871 | − | 0.771796i | \(-0.280641\pi\) |
0.333553 | + | 0.942731i | \(0.391752\pi\) | |||||||
\(258\) | −1.79526 | + | 1.03649i | −0.111768 | + | 0.0645293i | ||||
\(259\) | 0.204391 | − | 0.354016i | 0.0127003 | − | 0.0219975i | ||||
\(260\) | 1.40578 | − | 19.6525i | 0.0871825 | − | 1.21880i | ||||
\(261\) | −3.97292 | − | 1.44602i | −0.245917 | − | 0.0895066i | ||||
\(262\) | −2.72830 | − | 7.49595i | −0.168555 | − | 0.463102i | ||||
\(263\) | 12.7872 | + | 15.2391i | 0.788490 | + | 0.939686i | 0.999284 | − | 0.0378448i | \(-0.0120492\pi\) |
−0.210794 | + | 0.977531i | \(0.567605\pi\) | |||||||
\(264\) | 0.0275114 | + | 0.156025i | 0.00169321 | + | 0.00960268i | ||||
\(265\) | 9.03357 | + | 12.4755i | 0.554928 | + | 0.766363i | ||||
\(266\) | 2.32170 | + | 5.30381i | 0.142353 | + | 0.325198i | ||||
\(267\) | − | 1.54632i | − | 0.0946331i | ||||||
\(268\) | −7.49544 | + | 1.32165i | −0.457857 | + | 0.0807325i | ||||
\(269\) | 8.70147 | − | 7.30140i | 0.530538 | − | 0.445174i | −0.337749 | − | 0.941236i | \(-0.609666\pi\) |
0.868287 | + | 0.496062i | \(0.165221\pi\) | |||||||
\(270\) | −2.75295 | + | 4.06739i | −0.167539 | + | 0.247533i | ||||
\(271\) | −22.4471 | − | 8.17007i | −1.36356 | − | 0.496296i | −0.446409 | − | 0.894829i | \(-0.647297\pi\) |
−0.917154 | + | 0.398533i | \(0.869519\pi\) | |||||||
\(272\) | −14.2616 | + | 16.9963i | −0.864737 | + | 1.03055i | ||||
\(273\) | −0.524635 | − | 0.302898i | −0.0317523 | − | 0.0183322i | ||||
\(274\) | −2.56208 | − | 4.43766i | −0.154781 | − | 0.268089i | ||||
\(275\) | −12.5195 | − | 6.70813i | −0.754957 | − | 0.404516i | ||||
\(276\) | 0.0633214 | − | 0.359114i | 0.00381150 | − | 0.0216161i | ||||
\(277\) | −4.06428 | + | 2.34652i | −0.244199 | + | 0.140988i | −0.617105 | − | 0.786881i | \(-0.711695\pi\) |
0.372906 | + | 0.927869i | \(0.378361\pi\) | |||||||
\(278\) | −15.2417 | − | 8.79978i | −0.914134 | − | 0.527776i | ||||
\(279\) | 0.615624 | + | 0.516570i | 0.0368564 | + | 0.0309262i | ||||
\(280\) | 0.432606 | − | 0.123301i | 0.0258532 | − | 0.00736862i | ||||
\(281\) | −21.1014 | + | 7.68028i | −1.25880 | + | 0.458167i | −0.883367 | − | 0.468681i | \(-0.844729\pi\) |
−0.375436 | + | 0.926848i | \(0.622507\pi\) | |||||||
\(282\) | −1.86884 | − | 2.22719i | −0.111288 | − | 0.132628i | ||||
\(283\) | −10.7176 | + | 1.88981i | −0.637097 | + | 0.112337i | −0.482862 | − | 0.875697i | \(-0.660403\pi\) |
−0.154236 | + | 0.988034i | \(0.549291\pi\) | |||||||
\(284\) | 14.0590 | 0.834250 | ||||||||
\(285\) | −0.303523 | − | 1.80420i | −0.0179792 | − | 0.106872i | ||||
\(286\) | 26.5634 | 1.57073 | ||||||||
\(287\) | 4.49119 | − | 0.791919i | 0.265107 | − | 0.0467455i | ||||
\(288\) | 14.8685 | + | 17.7196i | 0.876137 | + | 1.04414i | ||||
\(289\) | 9.27778 | − | 3.37683i | 0.545752 | − | 0.198637i | ||||
\(290\) | 1.71466 | + | 6.01598i | 0.100688 | + | 0.353271i | ||||
\(291\) | −0.823712 | − | 0.691177i | −0.0482869 | − | 0.0405175i | ||||
\(292\) | 25.8181 | + | 14.9061i | 1.51089 | + | 0.872312i | ||||
\(293\) | −10.8004 | + | 6.23561i | −0.630965 | + | 0.364288i | −0.781126 | − | 0.624374i | \(-0.785354\pi\) |
0.150161 | + | 0.988662i | \(0.452021\pi\) | |||||||
\(294\) | 0.418297 | − | 2.37228i | 0.0243955 | − | 0.138354i | ||||
\(295\) | −9.89003 | − | 20.3600i | −0.575820 | − | 1.18541i | ||||
\(296\) | 0.0896946 | + | 0.155356i | 0.00521339 | + | 0.00902986i | ||||
\(297\) | −2.75443 | − | 1.59027i | −0.159828 | − | 0.0922767i | ||||
\(298\) | 2.17910 | − | 2.59695i | 0.126232 | − | 0.150437i | ||||
\(299\) | 4.70722 | + | 1.71329i | 0.272226 | + | 0.0990821i | ||||
\(300\) | 1.73406 | − | 0.0550106i | 0.100116 | − | 0.00317604i | ||||
\(301\) | −2.91979 | + | 2.44999i | −0.168294 | + | 0.141215i | ||||
\(302\) | 21.3943 | − | 3.77239i | 1.23110 | − | 0.217077i | ||||
\(303\) | − | 0.379605i | − | 0.0218077i | ||||||
\(304\) | −18.5412 | − | 2.06628i | −1.06341 | − | 0.118510i | ||||
\(305\) | −13.5326 | + | 9.79900i | −0.774872 | + | 0.561089i | ||||
\(306\) | −5.23562 | − | 29.6927i | −0.299301 | − | 1.69742i | ||||
\(307\) | 2.68594 | + | 3.20098i | 0.153295 | + | 0.182689i | 0.837226 | − | 0.546857i | \(-0.184176\pi\) |
−0.683932 | + | 0.729546i | \(0.739731\pi\) | |||||||
\(308\) | −1.21601 | − | 3.34096i | −0.0692886 | − | 0.190369i | ||||
\(309\) | −3.21658 | − | 1.17074i | −0.182985 | − | 0.0666011i | ||||
\(310\) | 0.0848388 | − | 1.18603i | 0.00481852 | − | 0.0673621i | ||||
\(311\) | 6.04544 | − | 10.4710i | 0.342806 | − | 0.593757i | −0.642147 | − | 0.766582i | \(-0.721956\pi\) |
0.984953 | + | 0.172825i | \(0.0552894\pi\) | |||||||
\(312\) | 0.230230 | − | 0.132923i | 0.0130342 | − | 0.00752529i | ||||
\(313\) | −9.43307 | − | 1.66330i | −0.533188 | − | 0.0940155i | −0.0994297 | − | 0.995045i | \(-0.531702\pi\) |
−0.433759 | + | 0.901029i | \(0.642813\pi\) | |||||||
\(314\) | 0.669264 | − | 3.79558i | 0.0377688 | − | 0.214197i | ||||
\(315\) | −1.83221 | + | 4.09759i | −0.103233 | + | 0.230873i | ||||
\(316\) | −13.7224 | + | 23.7680i | −0.771948 | + | 1.33705i | ||||
\(317\) | 7.17941 | − | 8.55609i | 0.403236 | − | 0.480558i | −0.525768 | − | 0.850628i | \(-0.676222\pi\) |
0.929004 | + | 0.370070i | \(0.120666\pi\) | |||||||
\(318\) | 0.867550 | − | 2.38358i | 0.0486498 | − | 0.133664i | ||||
\(319\) | −3.80665 | + | 1.38551i | −0.213132 | + | 0.0775735i | ||||
\(320\) | 3.67261 | − | 14.6305i | 0.205305 | − | 0.817868i | ||||
\(321\) | 0.202527 | + | 1.14859i | 0.0113040 | + | 0.0641080i | ||||
\(322\) | − | 1.39588i | − | 0.0777893i | ||||||
\(323\) | 18.1972 | + | 13.3960i | 1.01252 | + | 0.745374i | ||||
\(324\) | −16.0530 | −0.891833 | ||||||||
\(325\) | −3.39229 | + | 23.5905i | −0.188170 | + | 1.30857i | ||||
\(326\) | 30.2531 | − | 25.3854i | 1.67556 | − | 1.40597i | ||||
\(327\) | 1.02646 | + | 2.82018i | 0.0567635 | + | 0.155956i | ||||
\(328\) | −0.684489 | + | 1.88062i | −0.0377946 | + | 0.103840i | ||||
\(329\) | −4.09505 | − | 3.43615i | −0.225767 | − | 0.189441i | ||||
\(330\) | 0.240783 | + | 2.32663i | 0.0132547 | + | 0.128077i | ||||
\(331\) | 10.8439 | + | 18.7822i | 0.596034 | + | 1.03236i | 0.993400 | + | 0.114701i | \(0.0365911\pi\) |
−0.397366 | + | 0.917660i | \(0.630076\pi\) | |||||||
\(332\) | −25.8169 | − | 4.55221i | −1.41688 | − | 0.249835i | ||||
\(333\) | −1.76280 | − | 0.310829i | −0.0966006 | − | 0.0170333i | ||||
\(334\) | 17.5153 | + | 30.3374i | 0.958396 | + | 1.65999i | ||||
\(335\) | 9.15773 | − | 0.947733i | 0.500340 | − | 0.0517802i | ||||
\(336\) | −0.416687 | − | 0.349642i | −0.0227322 | − | 0.0190745i | ||||
\(337\) | 0.0180757 | − | 0.0496626i | 0.000984647 | − | 0.00270530i | −0.939199 | − | 0.343372i | \(-0.888431\pi\) |
0.940184 | + | 0.340667i | \(0.110653\pi\) | |||||||
\(338\) | −6.52229 | − | 17.9198i | −0.354766 | − | 0.974711i | ||||
\(339\) | 1.13365 | − | 0.951246i | 0.0615715 | − | 0.0516646i | ||||
\(340\) | −14.9095 | + | 15.3900i | −0.808580 | + | 0.834638i | ||||
\(341\) | 0.770008 | 0.0416983 | ||||||||
\(342\) | 18.3468 | − | 17.4965i | 0.992082 | − | 0.946103i | ||||
\(343\) | − | 9.16856i | − | 0.495056i | ||||||
\(344\) | −0.290450 | − | 1.64722i | −0.0156600 | − | 0.0888124i | ||||
\(345\) | −0.107395 | + | 0.427825i | −0.00578194 | + | 0.0230333i | ||||
\(346\) | 5.01823 | − | 1.82649i | 0.269782 | − | 0.0981925i | ||||
\(347\) | 8.68262 | − | 23.8553i | 0.466107 | − | 1.28062i | −0.454715 | − | 0.890637i | \(-0.650259\pi\) |
0.920822 | − | 0.389982i | \(-0.127519\pi\) | |||||||
\(348\) | 0.318063 | − | 0.379053i | 0.0170500 | − | 0.0203194i | ||||
\(349\) | −7.80995 | + | 13.5272i | −0.418057 | + | 0.724096i | −0.995744 | − | 0.0921622i | \(-0.970622\pi\) |
0.577687 | + | 0.816259i | \(0.303956\pi\) | |||||||
\(350\) | 6.50050 | − | 1.36004i | 0.347467 | − | 0.0726973i | ||||
\(351\) | −0.926741 | + | 5.25581i | −0.0494658 | + | 0.280534i | ||||
\(352\) | 21.8266 | + | 3.84862i | 1.16336 | + | 0.205132i | ||||
\(353\) | −10.8004 | + | 6.23564i | −0.574850 | + | 0.331890i | −0.759084 | − | 0.650993i | \(-0.774353\pi\) |
0.184234 | + | 0.982882i | \(0.441019\pi\) | |||||||
\(354\) | −1.86379 | + | 3.22818i | −0.0990593 | + | 0.171576i | ||||
\(355\) | −16.9630 | − | 1.21339i | −0.900302 | − | 0.0644001i | ||||
\(356\) | −14.3097 | − | 5.20831i | −0.758414 | − | 0.276040i | ||||
\(357\) | 0.225334 | + | 0.619100i | 0.0119259 | + | 0.0327662i | ||||
\(358\) | 9.73031 | + | 11.5961i | 0.514263 | + | 0.612875i | ||||
\(359\) | 5.84204 | + | 33.1318i | 0.308331 | + | 1.74863i | 0.607396 | + | 0.794399i | \(0.292214\pi\) |
−0.299065 | + | 0.954233i | \(0.596675\pi\) | |||||||
\(360\) | −1.15524 | − | 1.59541i | −0.0608868 | − | 0.0840855i | ||||
\(361\) | −0.900964 | + | 18.9786i | −0.0474191 | + | 0.998875i | ||||
\(362\) | 2.09989i | 0.110368i | ||||||||
\(363\) | 0.541718 | − | 0.0955195i | 0.0284328 | − | 0.00501347i | ||||
\(364\) | −4.57011 | + | 3.83478i | −0.239539 | + | 0.200997i | ||||
\(365\) | −29.8644 | − | 20.2133i | −1.56318 | − | 1.05801i | ||||
\(366\) | 2.58554 | + | 0.941060i | 0.135148 | + | 0.0491900i | ||||
\(367\) | 16.4618 | − | 19.6184i | 0.859299 | − | 1.02407i | −0.140125 | − | 0.990134i | \(-0.544750\pi\) |
0.999424 | − | 0.0339392i | \(-0.0108053\pi\) | |||||||
\(368\) | 3.89529 | + | 2.24894i | 0.203056 | + | 0.117234i | ||||
\(369\) | −9.98479 | − | 17.2942i | −0.519787 | − | 0.900298i | ||||
\(370\) | 1.15721 | + | 2.38227i | 0.0601603 | + | 0.123848i | ||||
\(371\) | 0.809867 | − | 4.59299i | 0.0420462 | − | 0.238456i | ||||
\(372\) | −0.0814544 | + | 0.0470277i | −0.00422322 | + | 0.00243827i | ||||
\(373\) | −18.8456 | − | 10.8805i | −0.975788 | − | 0.563372i | −0.0747923 | − | 0.997199i | \(-0.523829\pi\) |
−0.900996 | + | 0.433828i | \(0.857163\pi\) | |||||||
\(374\) | −22.1302 | − | 18.5695i | −1.14433 | − | 0.960204i | ||||
\(375\) | −2.09699 | − | 0.0832880i | −0.108288 | − | 0.00430098i | ||||
\(376\) | 2.20442 | − | 0.802344i | 0.113684 | − | 0.0413777i | ||||
\(377\) | 4.36930 | + | 5.20713i | 0.225031 | + | 0.268181i | ||||
\(378\) | 1.46456 | − | 0.258242i | 0.0753290 | − | 0.0132825i | ||||
\(379\) | 6.63029 | 0.340575 | 0.170288 | − | 0.985394i | \(-0.445530\pi\) | ||||
0.170288 | + | 0.985394i | \(0.445530\pi\) | |||||||
\(380\) | −17.7185 | − | 3.26809i | −0.908940 | − | 0.167649i | ||||
\(381\) | 2.96096 | 0.151695 | ||||||||
\(382\) | 10.3997 | − | 1.83375i | 0.532095 | − | 0.0938226i | ||||
\(383\) | −17.3693 | − | 20.7000i | −0.887532 | − | 1.05772i | −0.997960 | − | 0.0638349i | \(-0.979667\pi\) |
0.110429 | − | 0.993884i | \(-0.464778\pi\) | |||||||
\(384\) | 0.418069 | − | 0.152165i | 0.0213345 | − | 0.00776512i | ||||
\(385\) | 1.17884 | + | 4.13600i | 0.0600790 | + | 0.210790i | ||||
\(386\) | 23.2482 | + | 19.5076i | 1.18330 | + | 0.992910i | ||||
\(387\) | 14.4539 | + | 8.34499i | 0.734735 | + | 0.424200i | ||||
\(388\) | −9.17062 | + | 5.29466i | −0.465568 | + | 0.268796i | ||||
\(389\) | −4.51305 | + | 25.5948i | −0.228821 | + | 1.29771i | 0.626424 | + | 0.779483i | \(0.284518\pi\) |
−0.855245 | + | 0.518224i | \(0.826593\pi\) | |||||||
\(390\) | 3.53041 | − | 1.71492i | 0.178769 | − | 0.0868386i | ||||
\(391\) | −2.72394 | − | 4.71800i | −0.137755 | − | 0.238599i | ||||
\(392\) | 1.68325 | + | 0.971827i | 0.0850171 | + | 0.0490847i | ||||
\(393\) | 0.490618 | − | 0.584696i | 0.0247484 | − | 0.0294940i | ||||
\(394\) | −39.1419 | − | 14.2465i | −1.97194 | − | 0.717727i | ||||
\(395\) | 18.6082 | − | 27.4930i | 0.936281 | − | 1.38332i | ||||
\(396\) | −11.9261 | + | 10.0072i | −0.599308 | + | 0.502879i | ||||
\(397\) | −21.0231 | + | 3.70695i | −1.05512 | + | 0.186046i | −0.674191 | − | 0.738557i | \(-0.735507\pi\) |
−0.380930 | + | 0.924604i | \(0.624396\pi\) | |||||||
\(398\) | 14.8726i | 0.745494i | ||||||||
\(399\) | −0.328421 | + | 0.446128i | −0.0164416 | + | 0.0223343i | ||||
\(400\) | −6.67789 | + | 20.3313i | −0.333894 | + | 1.01656i | ||||
\(401\) | 4.52547 | + | 25.6652i | 0.225991 | + | 1.28166i | 0.860781 | + | 0.508975i | \(0.169975\pi\) |
−0.634790 | + | 0.772685i | \(0.718913\pi\) | |||||||
\(402\) | −0.974574 | − | 1.16145i | −0.0486073 | − | 0.0579280i | ||||
\(403\) | −0.441911 | − | 1.21414i | −0.0220131 | − | 0.0604806i | ||||
\(404\) | −3.51289 | − | 1.27859i | −0.174773 | − | 0.0636120i | ||||
\(405\) | 19.3688 | + | 1.38548i | 0.962444 | + | 0.0688452i | ||||
\(406\) | 0.947073 | − | 1.64038i | 0.0470024 | − | 0.0814106i | ||||
\(407\) | −1.48530 | + | 0.857540i | −0.0736237 | + | 0.0425067i | ||||
\(408\) | −0.284728 | − | 0.0502053i | −0.0140961 | − | 0.00248553i | ||||
\(409\) | 4.05420 | − | 22.9925i | 0.200467 | − | 1.13691i | −0.703948 | − | 0.710252i | \(-0.748581\pi\) |
0.904415 | − | 0.426654i | \(-0.140308\pi\) | |||||||
\(410\) | −12.0609 | + | 26.9732i | −0.595645 | + | 1.33211i | ||||
\(411\) | 0.245148 | − | 0.424608i | 0.0120922 | − | 0.0209444i | ||||
\(412\) | −21.6682 | + | 25.8232i | −1.06752 | + | 1.27222i | ||||
\(413\) | −2.34412 | + | 6.44041i | −0.115346 | + | 0.316912i | ||||
\(414\) | −5.74370 | + | 2.09054i | −0.282288 | + | 0.102744i | ||||
\(415\) | 30.7566 | + | 7.72067i | 1.50978 | + | 0.378993i | ||||
\(416\) | −6.45791 | − | 36.6246i | −0.316625 | − | 1.79567i | ||||
\(417\) | − | 1.68398i | − | 0.0824648i | ||||||
\(418\) | 2.69043 | − | 24.1417i | 0.131593 | − | 1.18081i | ||||
\(419\) | −21.9951 | −1.07453 | −0.537265 | − | 0.843413i | \(-0.680543\pi\) | ||||
−0.537265 | + | 0.843413i | \(0.680543\pi\) | |||||||
\(420\) | −0.377305 | − | 0.365526i | −0.0184106 | − | 0.0178358i | ||||
\(421\) | 2.85822 | − | 2.39833i | 0.139301 | − | 0.116888i | −0.570475 | − | 0.821315i | \(-0.693241\pi\) |
0.709776 | + | 0.704428i | \(0.248796\pi\) | |||||||
\(422\) | −8.92323 | − | 24.5164i | −0.434376 | − | 1.19344i | ||||
\(423\) | −8.00599 | + | 21.9963i | −0.389264 | + | 1.06950i | ||||
\(424\) | 1.56784 | + | 1.31557i | 0.0761410 | + | 0.0638899i | ||||
\(425\) | 19.3174 | − | 17.2820i | 0.937030 | − | 0.838303i | ||||
\(426\) | 1.40032 | + | 2.42542i | 0.0678457 | + | 0.117512i | ||||
\(427\) | 4.98216 | + | 0.878489i | 0.241104 | + | 0.0425131i | ||||
\(428\) | 11.3113 | + | 1.99448i | 0.546751 | + | 0.0964069i | ||||
\(429\) | 1.27083 | + | 2.20115i | 0.0613564 | + | 0.106272i | ||||
\(430\) | −2.54205 | − | 24.5632i | −0.122588 | − | 1.18454i | ||||
\(431\) | −19.0853 | − | 16.0145i | −0.919307 | − | 0.771390i | 0.0545594 | − | 0.998511i | \(-0.482625\pi\) |
−0.973867 | + | 0.227120i | \(0.927069\pi\) | |||||||
\(432\) | −1.63896 | + | 4.50302i | −0.0788547 | + | 0.216651i | ||||
\(433\) | −3.75273 | − | 10.3105i | −0.180345 | − | 0.495492i | 0.816274 | − | 0.577666i | \(-0.196036\pi\) |
−0.996618 | + | 0.0821730i | \(0.973814\pi\) | |||||||
\(434\) | −0.275807 | + | 0.231430i | −0.0132392 | + | 0.0111090i | ||||
\(435\) | −0.416476 | + | 0.429897i | −0.0199685 | + | 0.0206120i | ||||
\(436\) | 29.5555 | 1.41545 | ||||||||
\(437\) | 2.03386 | − | 4.10456i | 0.0972927 | − | 0.196348i | ||||
\(438\) | 5.93875i | 0.283765i | ||||||||
\(439\) | 1.47943 | + | 8.39029i | 0.0706096 | + | 0.400447i | 0.999544 | + | 0.0302020i | \(0.00961507\pi\) |
−0.928934 | + | 0.370245i | \(0.879274\pi\) | |||||||
\(440\) | −1.83052 | − | 0.459507i | −0.0872668 | − | 0.0219061i | ||||
\(441\) | −18.2246 | + | 6.63322i | −0.867840 | + | 0.315868i | ||||
\(442\) | −16.5795 | + | 45.5518i | −0.788606 | + | 2.16668i | ||||
\(443\) | −6.05322 | + | 7.21394i | −0.287597 | + | 0.342745i | −0.890428 | − | 0.455124i | \(-0.849595\pi\) |
0.602831 | + | 0.797869i | \(0.294039\pi\) | |||||||
\(444\) | 0.104747 | − | 0.181428i | 0.00497109 | − | 0.00861018i | ||||
\(445\) | 16.8160 | + | 7.51914i | 0.797153 | + | 0.356441i | ||||
\(446\) | 6.77206 | − | 38.4063i | 0.320667 | − | 1.81859i | ||||
\(447\) | 0.319445 | + | 0.0563268i | 0.0151092 | + | 0.00266417i | ||||
\(448\) | −3.95554 | + | 2.28373i | −0.186881 | + | 0.107896i | ||||
\(449\) | 4.86372 | − | 8.42421i | 0.229533 | − | 0.397563i | −0.728137 | − | 0.685432i | \(-0.759613\pi\) |
0.957670 | + | 0.287869i | \(0.0929468\pi\) | |||||||
\(450\) | −15.3317 | − | 24.7111i | −0.722744 | − | 1.16489i | ||||
\(451\) | −17.9799 | − | 6.54416i | −0.846642 | − | 0.308153i | ||||
\(452\) | −4.98452 | − | 13.6949i | −0.234452 | − | 0.644152i | ||||
\(453\) | 1.33613 | + | 1.59234i | 0.0627769 | + | 0.0748146i | ||||
\(454\) | 9.30069 | + | 52.7468i | 0.436503 | + | 2.47553i | ||||
\(455\) | 5.84506 | − | 4.23244i | 0.274021 | − | 0.198420i | ||||
\(456\) | −0.0974869 | − | 0.222704i | −0.00456524 | − | 0.0104291i | ||||
\(457\) | − | 10.4686i | − | 0.489700i | −0.969561 | − | 0.244850i | \(-0.921261\pi\) | ||
0.969561 | − | 0.244850i | \(-0.0787387\pi\) | |||||||
\(458\) | 28.2897 | − | 4.98823i | 1.32189 | − | 0.233085i | ||||
\(459\) | 4.44621 | − | 3.73082i | 0.207531 | − | 0.174140i | ||||
\(460\) | 3.59739 | + | 2.43484i | 0.167729 | + | 0.113525i | ||||
\(461\) | 21.3065 | + | 7.75492i | 0.992342 | + | 0.361183i | 0.786626 | − | 0.617429i | \(-0.211826\pi\) |
0.205715 | + | 0.978612i | \(0.434048\pi\) | |||||||
\(462\) | 0.455255 | − | 0.542552i | 0.0211804 | − | 0.0252418i | ||||
\(463\) | 30.8631 | + | 17.8188i | 1.43433 | + | 0.828110i | 0.997447 | − | 0.0714094i | \(-0.0227497\pi\) |
0.436881 | + | 0.899519i | \(0.356083\pi\) | |||||||
\(464\) | 3.05172 | + | 5.28573i | 0.141672 | + | 0.245384i | ||||
\(465\) | 0.102338 | − | 0.0497115i | 0.00474581 | − | 0.00230531i | ||||
\(466\) | 2.25833 | − | 12.8076i | 0.104615 | − | 0.593303i | ||||
\(467\) | −2.51286 | + | 1.45080i | −0.116281 | + | 0.0671350i | −0.557013 | − | 0.830504i | \(-0.688052\pi\) |
0.440731 | + | 0.897639i | \(0.354719\pi\) | |||||||
\(468\) | 22.6236 | + | 13.0618i | 1.04578 | + | 0.603780i | ||||
\(469\) | −2.13551 | − | 1.79191i | −0.0986088 | − | 0.0827426i | ||||
\(470\) | 33.3078 | − | 9.49332i | 1.53637 | − | 0.437894i | ||||
\(471\) | 0.346536 | − | 0.126129i | 0.0159675 | − | 0.00581170i | ||||
\(472\) | −1.93330 | − | 2.30402i | −0.0889873 | − | 0.106051i | ||||
\(473\) | 15.7486 | − | 2.77689i | 0.724119 | − | 0.127682i | ||||
\(474\) | −5.46718 | −0.251116 | ||||||||
\(475\) | 21.0963 | + | 5.47235i | 0.967964 | + | 0.251089i | ||||
\(476\) | 6.48816 | 0.297384 | ||||||||
\(477\) | −20.1119 | + | 3.54627i | −0.920862 | + | 0.162373i | ||||
\(478\) | −15.9885 | − | 19.0543i | −0.731296 | − | 0.871524i | ||||
\(479\) | 27.5809 | − | 10.0386i | 1.26020 | − | 0.458676i | 0.376365 | − | 0.926471i | \(-0.377174\pi\) |
0.883837 | + | 0.467795i | \(0.154952\pi\) | |||||||
\(480\) | 3.14933 | − | 0.897617i | 0.143747 | − | 0.0409704i | ||||
\(481\) | 2.20458 | + | 1.84986i | 0.100520 | + | 0.0843464i | ||||
\(482\) | 23.9786 | + | 13.8440i | 1.09219 | + | 0.630578i | ||||
\(483\) | 0.115668 | − | 0.0667810i | 0.00526308 | − | 0.00303864i | ||||
\(484\) | 0.940673 | − | 5.33482i | 0.0427578 | − | 0.242492i | ||||
\(485\) | 11.5218 | − | 5.59681i | 0.523179 | − | 0.254138i | ||||
\(486\) | −4.89363 | − | 8.47601i | −0.221979 | − | 0.384480i | ||||
\(487\) | −2.95906 | − | 1.70841i | −0.134088 | − | 0.0774157i | 0.431456 | − | 0.902134i | \(-0.358000\pi\) |
−0.565543 | + | 0.824719i | \(0.691334\pi\) | |||||||
\(488\) | −1.42705 | + | 1.70069i | −0.0645993 | + | 0.0769865i | ||||
\(489\) | 3.55089 | + | 1.29242i | 0.160577 | + | 0.0584451i | ||||
\(490\) | 23.7641 | + | 16.0844i | 1.07355 | + | 0.726617i | ||||
\(491\) | −19.2938 | + | 16.1894i | −0.870717 | + | 0.730618i | −0.964249 | − | 0.264998i | \(-0.914629\pi\) |
0.0935323 | + | 0.995616i | \(0.470184\pi\) | |||||||
\(492\) | 2.30167 | − | 0.405846i | 0.103767 | − | 0.0182970i | ||||
\(493\) | − | 7.39253i | − | 0.332943i | ||||||
\(494\) | −39.6105 | + | 9.61281i | −1.78216 | + | 0.432501i | ||||
\(495\) | 15.2532 | − | 11.0449i | 0.685579 | − | 0.496431i | ||||
\(496\) | −0.201457 | − | 1.14252i | −0.00904569 | − | 0.0513007i | ||||
\(497\) | 3.30998 | + | 3.94468i | 0.148473 | + | 0.176943i | ||||
\(498\) | −1.78610 | − | 4.90727i | −0.0800370 | − | 0.219900i | ||||
\(499\) | −32.6388 | − | 11.8795i | −1.46111 | − | 0.531801i | −0.515441 | − | 0.856925i | \(-0.672372\pi\) |
−0.945671 | + | 0.325124i | \(0.894594\pi\) | |||||||
\(500\) | −7.83383 | + | 19.1251i | −0.350340 | + | 0.855301i | ||||
\(501\) | −1.67592 | + | 2.90278i | −0.0748746 | + | 0.129687i | ||||
\(502\) | −11.8483 | + | 6.84064i | −0.528817 | + | 0.305313i | ||||
\(503\) | −22.1171 | − | 3.89983i | −0.986151 | − | 0.173885i | −0.342760 | − | 0.939423i | \(-0.611362\pi\) |
−0.643391 | + | 0.765538i | \(0.722473\pi\) | |||||||
\(504\) | −0.103569 | + | 0.587367i | −0.00461332 | + | 0.0261634i | ||||
\(505\) | 4.12814 | + | 1.84587i | 0.183700 | + | 0.0821402i | ||||
\(506\) | −2.92826 | + | 5.07189i | −0.130177 | + | 0.225473i | ||||
\(507\) | 1.17287 | − | 1.39778i | 0.0520891 | − | 0.0620774i | ||||
\(508\) | 9.97312 | − | 27.4009i | 0.442486 | − | 1.21572i | ||||
\(509\) | 2.20641 | − | 0.803067i | 0.0977974 | − | 0.0355953i | −0.292658 | − | 0.956217i | \(-0.594540\pi\) |
0.390455 | + | 0.920622i | \(0.372318\pi\) | |||||||
\(510\) | −4.14006 | − | 1.03926i | −0.183325 | − | 0.0460191i | ||||
\(511\) | 1.89612 | + | 10.7534i | 0.0838794 | + | 0.475704i | ||||
\(512\) | − | 30.8493i | − | 1.36336i | ||||||
\(513\) | 4.68280 | + | 1.37458i | 0.206751 | + | 0.0606892i | ||||
\(514\) | 30.9583 | 1.36551 | ||||||||
\(515\) | 28.3726 | − | 29.2869i | 1.25025 | − | 1.29054i | ||||
\(516\) | −1.49635 | + | 1.25558i | −0.0658730 | + | 0.0552740i | ||||
\(517\) | 7.67094 | + | 21.0757i | 0.337367 | + | 0.926909i | ||||
\(518\) | 0.274279 | − | 0.753575i | 0.0120511 | − | 0.0331102i | ||||
\(519\) | 0.391429 | + | 0.328448i | 0.0171818 | + | 0.0144173i | ||||
\(520\) | 0.326000 | + | 3.15006i | 0.0142961 | + | 0.138139i | ||||
\(521\) | −0.761964 | − | 1.31976i | −0.0333822 | − | 0.0578197i | 0.848852 | − | 0.528631i | \(-0.177295\pi\) |
−0.882234 | + | 0.470811i | \(0.843961\pi\) | |||||||
\(522\) | −8.16814 | − | 1.44026i | −0.357510 | − | 0.0630386i | ||||
\(523\) | −13.2229 | − | 2.33156i | −0.578198 | − | 0.101952i | −0.123101 | − | 0.992394i | \(-0.539284\pi\) |
−0.455096 | + | 0.890442i | \(0.650395\pi\) | |||||||
\(524\) | −3.75831 | − | 6.50958i | −0.164183 | − | 0.284372i | ||||
\(525\) | 0.423692 | + | 0.473591i | 0.0184915 | + | 0.0206692i | ||||
\(526\) | 29.8957 | + | 25.0855i | 1.30351 | + | 1.09378i | ||||
\(527\) | −0.480599 | + | 1.32043i | −0.0209352 | + | 0.0575190i | ||||
\(528\) | 0.780548 | + | 2.14454i | 0.0339690 | + | 0.0933291i | ||||
\(529\) | 16.7730 | − | 14.0742i | 0.729260 | − | 0.611922i | ||||
\(530\) | 21.7024 | + | 21.0249i | 0.942693 | + | 0.913262i | ||||
\(531\) | 30.0114 | 1.30238 | ||||||||
\(532\) | 3.02231 | + | 4.54188i | 0.131034 | + | 0.196915i | ||||
\(533\) | 32.1063i | 1.39068i | ||||||||
\(534\) | −0.526765 | − | 2.98744i | −0.0227954 | − | 0.129279i | ||||
\(535\) | −13.4755 | − | 3.38269i | −0.582598 | − | 0.146247i | ||||
\(536\) | 1.14958 | − | 0.418412i | 0.0496541 | − | 0.0180726i | ||||
\(537\) | −0.495389 | + | 1.36107i | −0.0213776 | + | 0.0587345i | ||||
\(538\) | 14.3237 | − | 17.0703i | 0.617537 | − | 0.735952i | ||||
\(539\) | −9.29130 | + | 16.0930i | −0.400205 | + | 0.693175i | ||||
\(540\) | −1.88912 | + | 4.22486i | −0.0812946 | + | 0.181809i | ||||
\(541\) | 2.81801 | − | 15.9817i | 0.121156 | − | 0.687109i | −0.862361 | − | 0.506294i | \(-0.831015\pi\) |
0.983517 | − | 0.180815i | \(-0.0578737\pi\) | |||||||
\(542\) | −46.1502 | − | 8.13752i | −1.98232 | − | 0.349537i | ||||
\(543\) | −0.174005 | + | 0.100462i | −0.00746726 | + | 0.00431123i | ||||
\(544\) | −20.2227 | + | 35.0268i | −0.867043 | + | 1.50176i | ||||
\(545\) | −35.6603 | − | 2.55084i | −1.52752 | − | 0.109266i | ||||
\(546\) | −1.11676 | − | 0.406468i | −0.0477930 | − | 0.0173952i | ||||
\(547\) | −3.39107 | − | 9.31688i | −0.144992 | − | 0.398361i | 0.845845 | − | 0.533429i | \(-0.179097\pi\) |
−0.990836 | + | 0.135068i | \(0.956875\pi\) | |||||||
\(548\) | −3.10364 | − | 3.69878i | −0.132581 | − | 0.158004i | ||||
\(549\) | −3.84676 | − | 21.8160i | −0.164176 | − | 0.931086i | ||||
\(550\) | −26.4725 | − | 8.69501i | −1.12879 | − | 0.370757i | ||||
\(551\) | 5.17496 | − | 3.44358i | 0.220461 | − | 0.146702i | ||||
\(552\) | 0.0586120i | 0.00249469i | ||||||||
\(553\) | −9.89954 | + | 1.74556i | −0.420971 | + | 0.0742286i | ||||
\(554\) | −7.05270 | + | 5.91792i | −0.299641 | + | 0.251428i | ||||
\(555\) | −0.142042 | + | 0.209862i | −0.00602934 | + | 0.00890815i | ||||
\(556\) | −15.5836 | − | 5.67198i | −0.660894 | − | 0.240546i | ||||
\(557\) | −14.7090 | + | 17.5295i | −0.623240 | + | 0.742748i | −0.981624 | − | 0.190826i | \(-0.938883\pi\) |
0.358384 | + | 0.933574i | \(0.383328\pi\) | |||||||
\(558\) | 1.36534 | + | 0.788279i | 0.0577994 | + | 0.0333705i | ||||
\(559\) | −13.4167 | − | 23.2385i | −0.567467 | − | 0.982882i | ||||
\(560\) | 5.82849 | − | 2.83123i | 0.246299 | − | 0.119641i | ||||
\(561\) | 0.479995 | − | 2.72219i | 0.0202654 | − | 0.114931i | ||||
\(562\) | −38.1508 | + | 22.0264i | −1.60930 | + | 0.929128i | ||||
\(563\) | 10.8081 | + | 6.24004i | 0.455505 | + | 0.262986i | 0.710153 | − | 0.704048i | \(-0.248626\pi\) |
−0.254647 | + | 0.967034i | \(0.581959\pi\) | |||||||
\(564\) | −2.09865 | − | 1.76097i | −0.0883690 | − | 0.0741504i | ||||
\(565\) | 4.83214 | + | 16.9538i | 0.203290 | + | 0.713252i | ||||
\(566\) | −20.0623 | + | 7.30209i | −0.843283 | + | 0.306930i | ||||
\(567\) | −3.77943 | − | 4.50414i | −0.158721 | − | 0.189156i | ||||
\(568\) | −2.22543 | + | 0.392403i | −0.0933768 | + | 0.0164649i | ||||
\(569\) | −1.90233 | −0.0797500 | −0.0398750 | − | 0.999205i | \(-0.512696\pi\) | ||||
−0.0398750 | + | 0.999205i | \(0.512696\pi\) | |||||||
\(570\) | −1.20101 | − | 3.38226i | −0.0503049 | − | 0.141667i | ||||
\(571\) | −12.2153 | −0.511193 | −0.255596 | − | 0.966784i | \(-0.582272\pi\) | ||||
−0.255596 | + | 0.966784i | \(0.582272\pi\) | |||||||
\(572\) | 24.6500 | − | 4.34646i | 1.03067 | − | 0.181734i | ||||
\(573\) | 0.649489 | + | 0.774030i | 0.0271328 | + | 0.0323356i | ||||
\(574\) | 8.40707 | − | 3.05992i | 0.350904 | − | 0.127719i | ||||
\(575\) | −4.13031 | − | 3.24825i | −0.172246 | − | 0.135461i | ||||
\(576\) | 15.3210 | + | 12.8558i | 0.638375 | + | 0.535660i | ||||
\(577\) | −21.9021 | − | 12.6452i | −0.911796 | − | 0.526425i | −0.0307872 | − | 0.999526i | \(-0.509801\pi\) |
−0.881008 | + | 0.473100i | \(0.843135\pi\) | |||||||
\(578\) | 16.7740 | − | 9.68448i | 0.697707 | − | 0.402821i | ||||
\(579\) | −0.504245 | + | 2.85971i | −0.0209557 | + | 0.118846i | ||||
\(580\) | 2.57552 | + | 5.30207i | 0.106943 | + | 0.220157i | ||||
\(581\) | −4.80092 | − | 8.31544i | −0.199176 | − | 0.344982i | ||||
\(582\) | −1.82684 | − | 1.05473i | −0.0757249 | − | 0.0437198i | ||||
\(583\) | −12.5778 | + | 14.9896i | −0.520917 | + | 0.620805i | ||||
\(584\) | −4.50283 | − | 1.63890i | −0.186328 | − | 0.0678180i | ||||
\(585\) | −26.1693 | − | 17.7123i | −1.08197 | − | 0.732313i | ||||
\(586\) | −18.7418 | + | 15.7262i | −0.774216 | + | 0.649644i | ||||
\(587\) | −6.22574 | + | 1.09777i | −0.256964 | + | 0.0453097i | −0.300646 | − | 0.953736i | \(-0.597202\pi\) |
0.0436821 | + | 0.999045i | \(0.486091\pi\) | |||||||
\(588\) | − | 2.26984i | − | 0.0936067i | ||||||
\(589\) | −1.14821 | + | 0.278652i | −0.0473112 | + | 0.0114817i | ||||
\(590\) | −26.0430 | − | 35.9658i | −1.07217 | − | 1.48069i | ||||
\(591\) | −0.692087 | − | 3.92502i | −0.0284687 | − | 0.161454i | ||||
\(592\) | 1.66100 | + | 1.97950i | 0.0682666 | + | 0.0813569i | ||||
\(593\) | −0.199642 | − | 0.548512i | −0.00819832 | − | 0.0225247i | 0.935526 | − | 0.353258i | \(-0.114926\pi\) |
−0.943724 | + | 0.330733i | \(0.892704\pi\) | |||||||
\(594\) | −5.86320 | − | 2.13403i | −0.240570 | − | 0.0875603i | ||||
\(595\) | −7.82832 | − | 0.559972i | −0.320930 | − | 0.0229566i | ||||
\(596\) | 1.59721 | − | 2.76645i | 0.0654242 | − | 0.113318i | ||||
\(597\) | −1.23240 | + | 0.711526i | −0.0504387 | + | 0.0291208i | ||||
\(598\) | 9.67784 | + | 1.70646i | 0.395756 | + | 0.0697825i | ||||
\(599\) | −7.38388 | + | 41.8761i | −0.301697 | + | 1.71101i | 0.336961 | + | 0.941519i | \(0.390601\pi\) |
−0.638658 | + | 0.769491i | \(0.720510\pi\) | |||||||
\(600\) | −0.272952 | + | 0.0571072i | −0.0111432 | + | 0.00233139i | ||||
\(601\) | −8.13809 | + | 14.0956i | −0.331960 | + | 0.574971i | −0.982896 | − | 0.184161i | \(-0.941043\pi\) |
0.650936 | + | 0.759132i | \(0.274377\pi\) | |||||||
\(602\) | −4.80632 | + | 5.72795i | −0.195891 | + | 0.233454i | ||||
\(603\) | −4.17501 | + | 11.4708i | −0.170020 | + | 0.467125i | ||||
\(604\) | 19.2360 | − | 7.00132i | 0.782701 | − | 0.284880i | ||||
\(605\) | −1.59540 | + | 6.35557i | −0.0648624 | + | 0.258391i | ||||
\(606\) | −0.129315 | − | 0.733384i | −0.00525308 | − | 0.0297917i | ||||
\(607\) | 6.86749i | 0.278743i | 0.990240 | + | 0.139371i | \(0.0445082\pi\) | ||||
−0.990240 | + | 0.139371i | \(0.955492\pi\) | |||||||
\(608\) | −33.9398 | + | 2.15972i | −1.37644 | + | 0.0875881i | ||||
\(609\) | 0.181238 | 0.00734412 | ||||||||
\(610\) | −22.8063 | + | 23.5413i | −0.923402 | + | 0.953160i | ||||
\(611\) | 28.8296 | − | 24.1909i | 1.16632 | − | 0.978658i | ||||
\(612\) | −9.71698 | − | 26.6972i | −0.392786 | − | 1.07917i | ||||
\(613\) | 1.99841 | − | 5.49059i | 0.0807150 | − | 0.221763i | −0.892770 | − | 0.450512i | \(-0.851241\pi\) |
0.973485 | + | 0.228749i | \(0.0734636\pi\) | |||||||
\(614\) | 6.27958 | + | 5.26920i | 0.253423 | + | 0.212647i | ||||
\(615\) | −2.81212 | + | 0.291026i | −0.113395 | + | 0.0117353i | ||||
\(616\) | 0.285734 | + | 0.494906i | 0.0115126 | + | 0.0199403i | ||||
\(617\) | 37.9767 | + | 6.69631i | 1.52888 | + | 0.269583i | 0.873917 | − | 0.486075i | \(-0.161572\pi\) |
0.654966 | + | 0.755658i | \(0.272683\pi\) | |||||||
\(618\) | −6.61315 | − | 1.16608i | −0.266020 | − | 0.0469065i | ||||
\(619\) | 5.46007 | + | 9.45712i | 0.219459 | + | 0.380114i | 0.954643 | − | 0.297754i | \(-0.0962375\pi\) |
−0.735184 | + | 0.677868i | \(0.762904\pi\) | |||||||
\(620\) | −0.115338 | − | 1.11448i | −0.00463207 | − | 0.0447586i | ||||
\(621\) | −0.901359 | − | 0.756330i | −0.0361703 | − | 0.0303505i | ||||
\(622\) | 8.11256 | − | 22.2891i | 0.325284 | − | 0.893711i | ||||
\(623\) | −1.90765 | − | 5.24123i | −0.0764285 | − | 0.209986i | ||||
\(624\) | 2.93352 | − | 2.46152i | 0.117435 | − | 0.0985396i | ||||
\(625\) | 11.1026 | − | 22.3994i | 0.444103 | − | 0.895976i | ||||
\(626\) | −18.7910 | −0.751039 | ||||||||
\(627\) | 2.12919 | − | 0.932038i | 0.0850318 | − | 0.0372220i | ||||
\(628\) | − | 3.63169i | − | 0.144920i | ||||||
\(629\) | −0.543488 | − | 3.08228i | −0.0216703 | − | 0.122898i | ||||
\(630\) | −2.14389 | + | 8.54056i | −0.0854147 | + | 0.340264i | ||||
\(631\) | −7.62467 | + | 2.77515i | −0.303533 | + | 0.110477i | −0.489297 | − | 0.872117i | \(-0.662746\pi\) |
0.185763 | + | 0.982595i | \(0.440524\pi\) | |||||||
\(632\) | 1.50876 | − | 4.14528i | 0.0600152 | − | 0.164890i | ||||
\(633\) | 1.60462 | − | 1.91231i | 0.0637780 | − | 0.0760077i | ||||
\(634\) | 10.9557 | − | 18.9758i | 0.435106 | − | 0.753626i | ||||
\(635\) | −14.3980 | + | 32.2000i | −0.571367 | + | 1.27782i | ||||
\(636\) | 0.415045 | − | 2.35383i | 0.0164576 | − | 0.0933356i | ||||
\(637\) | 30.7076 | + | 5.41457i | 1.21668 | + | 0.214533i | ||||
\(638\) | −6.88234 | + | 3.97352i | −0.272474 | + | 0.157313i | ||||
\(639\) | 11.2742 | − | 19.5275i | 0.446001 | − | 0.772496i | ||||
\(640\) | −0.378141 | + | 5.28635i | −0.0149473 | + | 0.208961i | ||||
\(641\) | −13.0690 | − | 4.75673i | −0.516195 | − | 0.187880i | 0.0707688 | − | 0.997493i | \(-0.477455\pi\) |
−0.586964 | + | 0.809613i | \(0.699677\pi\) | |||||||
\(642\) | 0.782552 | + | 2.15004i | 0.0308849 | + | 0.0848555i | ||||
\(643\) | −24.4957 | − | 29.1929i | −0.966017 | − | 1.15125i | −0.988456 | − | 0.151506i | \(-0.951588\pi\) |
0.0224393 | − | 0.999748i | \(-0.492857\pi\) | |||||||
\(644\) | −0.228402 | − | 1.29533i | −0.00900029 | − | 0.0510432i | ||||
\(645\) | 1.91379 | − | 1.38579i | 0.0753554 | − | 0.0545653i | ||||
\(646\) | 39.7198 | + | 19.6816i | 1.56276 | + | 0.774364i | ||||
\(647\) | 28.6072i | 1.12466i | 0.826912 | + | 0.562332i | \(0.190096\pi\) | ||||
−0.826912 | + | 0.562332i | \(0.809904\pi\) | |||||||
\(648\) | 2.54105 | − | 0.448056i | 0.0998221 | − | 0.0176013i | ||||
\(649\) | 22.0279 | − | 18.4836i | 0.864671 | − | 0.725545i | ||||
\(650\) | 1.48249 | + | 46.7317i | 0.0581482 | + | 1.83297i | ||||
\(651\) | −0.0323722 | − | 0.0117825i | −0.00126877 | − | 0.000461793i | ||||
\(652\) | 23.9202 | − | 28.5070i | 0.936787 | − | 1.11642i | ||||
\(653\) | 10.2937 | + | 5.94304i | 0.402822 | + | 0.232569i | 0.687701 | − | 0.725994i | \(-0.258620\pi\) |
−0.284879 | + | 0.958563i | \(0.591953\pi\) | |||||||
\(654\) | 2.94381 | + | 5.09883i | 0.115112 | + | 0.199380i | ||||
\(655\) | 3.97278 | + | 8.17854i | 0.155230 | + | 0.319562i | ||||
\(656\) | −5.00599 | + | 28.3904i | −0.195451 | + | 1.10846i | ||||
\(657\) | 41.4080 | − | 23.9069i | 1.61548 | − | 0.932699i | ||||
\(658\) | −9.08204 | − | 5.24352i | −0.354055 | − | 0.204414i | ||||
\(659\) | 28.2769 | + | 23.7271i | 1.10151 | + | 0.924278i | 0.997526 | − | 0.0703009i | \(-0.0223959\pi\) |
0.103986 | + | 0.994579i | \(0.466840\pi\) | |||||||
\(660\) | 0.604135 | + | 2.11964i | 0.0235159 | + | 0.0825068i | ||||
\(661\) | 8.49572 | − | 3.09219i | 0.330445 | − | 0.120272i | −0.171469 | − | 0.985189i | \(-0.554851\pi\) |
0.501914 | + | 0.864917i | \(0.332629\pi\) | |||||||
\(662\) | 27.3483 | + | 32.5925i | 1.06292 | + | 1.26674i | ||||
\(663\) | −4.56779 | + | 0.805424i | −0.177398 | + | 0.0312801i | ||||
\(664\) | 4.21365 | 0.163521 | ||||||||
\(665\) | −3.25458 | − | 5.74087i | −0.126207 | − | 0.222621i | ||||
\(666\) | −3.51155 | −0.136070 | ||||||||
\(667\) | −1.47588 | + | 0.260238i | −0.0571465 | + | 0.0100765i | ||||
\(668\) | 21.2176 | + | 25.2862i | 0.820935 | + | 0.978353i | ||||
\(669\) | 3.50648 | − | 1.27626i | 0.135568 | − | 0.0493429i | ||||
\(670\) | 17.3696 | − | 4.95064i | 0.671045 | − | 0.191260i | ||||
\(671\) | −16.2597 | − | 13.6435i | −0.627698 | − | 0.526701i | ||||
\(672\) | −0.858729 | − | 0.495787i | −0.0331262 | − | 0.0191254i | ||||
\(673\) | 34.4994 | − | 19.9182i | 1.32985 | − | 0.767791i | 0.344577 | − | 0.938758i | \(-0.388022\pi\) |
0.985277 | + | 0.170967i | \(0.0546891\pi\) | |||||||
\(674\) | 0.0180037 | − | 0.102104i | 0.000693478 | − | 0.00393291i | ||||
\(675\) | 2.64396 | − | 4.93448i | 0.101766 | − | 0.189928i | ||||
\(676\) | −8.98462 | − | 15.5618i | −0.345562 | − | 0.598532i | ||||
\(677\) | −15.6221 | − | 9.01941i | −0.600405 | − | 0.346644i | 0.168796 | − | 0.985651i | \(-0.446012\pi\) |
−0.769201 | + | 0.639007i | \(0.779345\pi\) | |||||||
\(678\) | 1.86613 | − | 2.22396i | 0.0716682 | − | 0.0854108i | ||||
\(679\) | −3.64465 | − | 1.32655i | −0.139869 | − | 0.0509081i | ||||
\(680\) | 1.93050 | − | 2.85224i | 0.0740311 | − | 0.109379i | ||||
\(681\) | −3.92585 | + | 3.29418i | −0.150439 | + | 0.126233i | ||||
\(682\) | 1.48763 | − | 0.262309i | 0.0569643 | − | 0.0100443i | ||||
\(683\) | 15.4271i | 0.590301i | 0.955451 | + | 0.295151i | \(0.0953698\pi\) | ||||
−0.955451 | + | 0.295151i | \(0.904630\pi\) | |||||||
\(684\) | 14.1624 | − | 19.2382i | 0.541512 | − | 0.735591i | ||||
\(685\) | 3.42549 | + | 4.73065i | 0.130881 | + | 0.180749i | ||||
\(686\) | −3.12334 | − | 17.7134i | −0.119250 | − | 0.676299i | ||||
\(687\) | 1.76677 | + | 2.10555i | 0.0674063 | + | 0.0803317i | ||||
\(688\) | −8.24059 | − | 22.6408i | −0.314169 | − | 0.863173i | ||||
\(689\) | 30.8538 | + | 11.2299i | 1.17544 | + | 0.427824i | ||||
\(690\) | −0.0617410 | + | 0.863129i | −0.00235044 | + | 0.0328588i | ||||
\(691\) | −1.51912 | + | 2.63119i | −0.0577901 | + | 0.100095i | −0.893473 | − | 0.449117i | \(-0.851739\pi\) |
0.835683 | + | 0.549212i | \(0.185072\pi\) | |||||||
\(692\) | 4.35789 | − | 2.51603i | 0.165662 | − | 0.0956452i | ||||
\(693\) | −5.61562 | − | 0.990185i | −0.213320 | − | 0.0376140i | ||||
\(694\) | 8.64803 | − | 49.0454i | 0.328275 | − | 1.86174i | ||||
\(695\) | 18.3130 | + | 8.18853i | 0.694651 | + | 0.310609i | ||||
\(696\) | −0.0397670 | + | 0.0688784i | −0.00150736 | + | 0.00261083i | ||||
\(697\) | 22.4443 | − | 26.7481i | 0.850138 | − | 1.01315i | ||||
\(698\) | −10.4804 | + | 28.7947i | −0.396689 | + | 1.08990i | ||||
\(699\) | 1.16933 | − | 0.425603i | 0.0442283 | − | 0.0160978i | ||||
\(700\) | 5.80972 | − | 2.32572i | 0.219587 | − | 0.0879041i | ||||
\(701\) | −7.95179 | − | 45.0968i | −0.300335 | − | 1.70328i | −0.644690 | − | 0.764444i | \(-0.723013\pi\) |
0.344355 | − | 0.938840i | \(-0.388098\pi\) | |||||||
\(702\) | 10.4697i | 0.395155i | ||||||||
\(703\) | 1.90451 | − | 1.81624i | 0.0718298 | − | 0.0685008i | ||||
\(704\) | 19.1631 | 0.722238 | ||||||||
\(705\) | 2.38015 | + | 2.30584i | 0.0896416 | + | 0.0868430i | ||||
\(706\) | −18.7419 | + | 15.7263i | −0.705360 | + | 0.591867i | ||||
\(707\) | −0.468309 | − | 1.28667i | −0.0176126 | − | 0.0483901i | ||||
\(708\) | −1.20132 | + | 3.30061i | −0.0451485 | + | 0.124045i | ||||
\(709\) | −16.8950 | − | 14.1766i | −0.634506 | − | 0.532414i | 0.267819 | − | 0.963469i | \(-0.413697\pi\) |
−0.902326 | + | 0.431055i | \(0.858141\pi\) | |||||||
\(710\) | −33.1853 | + | 3.43435i | −1.24542 | + | 0.128889i | ||||
\(711\) | 22.0086 | + | 38.1200i | 0.825386 | + | 1.42961i | ||||
\(712\) | 2.41048 | + | 0.425032i | 0.0903365 | + | 0.0159288i | ||||
\(713\) | 0.280537 | + | 0.0494663i | 0.0105062 | + | 0.00185253i | ||||
\(714\) | 0.646239 | + | 1.11932i | 0.0241849 | + | 0.0418894i | ||||
\(715\) | −30.1167 | + | 3.11678i | −1.12630 | + | 0.116561i | ||||
\(716\) | 10.9268 | + | 9.16871i | 0.408355 | + | 0.342651i | ||||
\(717\) | 0.814003 | − | 2.23645i | 0.0303995 | − | 0.0835219i | ||||
\(718\) | 22.5732 | + | 62.0195i | 0.842426 | + | 2.31455i | ||||
\(719\) | 5.43476 | − | 4.56031i | 0.202682 | − | 0.170071i | −0.535797 | − | 0.844347i | \(-0.679989\pi\) |
0.738479 | + | 0.674276i | \(0.235544\pi\) | |||||||
\(720\) | −20.3789 | − | 19.7426i | −0.759475 | − | 0.735764i | ||||
\(721\) | −12.3469 | −0.459822 | ||||||||
\(722\) | 4.72459 | + | 36.9730i | 0.175831 | + | 1.37599i | ||||
\(723\) | 2.64928i | 0.0985277i | ||||||||
\(724\) | 0.343596 | + | 1.94863i | 0.0127696 | + | 0.0724202i | ||||
\(725\) | −2.64990 | − | 6.61953i | −0.0984149 | − | 0.245843i | ||||
\(726\) | 1.01404 | − | 0.369081i | 0.0376346 | − | 0.0136979i | ||||
\(727\) | 9.64932 | − | 26.5113i | 0.357873 | − | 0.983249i | −0.621893 | − | 0.783103i | \(-0.713636\pi\) |
0.979766 | − | 0.200147i | \(-0.0641418\pi\) | |||||||
\(728\) | 0.616378 | − | 0.734570i | 0.0228445 | − | 0.0272250i | ||||
\(729\) | −12.5580 | + | 21.7510i | −0.465110 | + | 0.805594i | ||||
\(730\) | −64.5829 | − | 28.8778i | −2.39032 | − | 1.06882i | ||||
\(731\) | −5.06752 | + | 28.7393i | −0.187429 | + | 1.06296i | ||||
\(732\) | 2.55328 | + | 0.450212i | 0.0943719 | + | 0.0166403i | ||||
\(733\) | −0.897082 | + | 0.517931i | −0.0331345 | + | 0.0191302i | −0.516476 | − | 0.856302i | \(-0.672756\pi\) |
0.483341 | + | 0.875432i | \(0.339423\pi\) | |||||||
\(734\) | 25.1205 | − | 43.5100i | 0.927214 | − | 1.60598i | ||||
\(735\) | −0.195903 | + | 2.73869i | −0.00722598 | + | 0.101018i | ||||
\(736\) | 7.70484 | + | 2.80433i | 0.284004 | + | 0.103369i | ||||
\(737\) | 4.00029 | + | 10.9907i | 0.147353 | + | 0.404848i | ||||
\(738\) | −25.1817 | − | 30.0103i | −0.926950 | − | 1.10470i | ||||
\(739\) | −3.37137 | − | 19.1200i | −0.124018 | − | 0.703340i | −0.981886 | − | 0.189471i | \(-0.939323\pi\) |
0.857868 | − | 0.513869i | \(-0.171788\pi\) | |||||||
\(740\) | 1.46365 | + | 2.02132i | 0.0538049 | + | 0.0743053i | ||||
\(741\) | −2.69158 | − | 2.82239i | −0.0988777 | − | 0.103683i | ||||
\(742\) | − | 9.14938i | − | 0.335884i | ||||||
\(743\) | −12.5098 | + | 2.20582i | −0.458941 | + | 0.0809237i | −0.398339 | − | 0.917238i | \(-0.630413\pi\) |
−0.0606022 | + | 0.998162i | \(0.519302\pi\) | |||||||
\(744\) | 0.0115810 | − | 0.00971758i | 0.000424579 | − | 0.000356264i | ||||
\(745\) | −2.16588 | + | 3.20002i | −0.0793518 | + | 0.117240i | ||||
\(746\) | −40.1156 | − | 14.6009i | −1.46874 | − | 0.534576i | ||||
\(747\) | −27.0259 | + | 32.2082i | −0.988826 | + | 1.17844i | ||||
\(748\) | −23.5746 | − | 13.6108i | −0.861972 | − | 0.497660i | ||||
\(749\) | 2.10345 | + | 3.64328i | 0.0768584 | + | 0.133123i | ||||
\(750\) | −4.07968 | + | 0.553446i | −0.148969 | + | 0.0202090i | ||||
\(751\) | −0.801897 | + | 4.54778i | −0.0292616 | + | 0.165951i | −0.995937 | − | 0.0900552i | \(-0.971296\pi\) |
0.966675 | + | 0.256006i | \(0.0824068\pi\) | |||||||
\(752\) | 29.2647 | − | 16.8960i | 1.06717 | − | 0.616134i | ||||
\(753\) | −1.13369 | − | 0.654534i | −0.0413138 | − | 0.0238525i | ||||
\(754\) | 10.2152 | + | 8.57157i | 0.372016 | + | 0.312158i | ||||
\(755\) | −23.8135 | + | 6.78728i | −0.866663 | + | 0.247014i | ||||
\(756\) | 1.31681 | − | 0.479281i | 0.0478920 | − | 0.0174313i | ||||
\(757\) | −4.37741 | − | 5.21680i | −0.159100 | − | 0.189608i | 0.680606 | − | 0.732650i | \(-0.261717\pi\) |
−0.839705 | + | 0.543042i | \(0.817272\pi\) | |||||||
\(758\) | 12.8095 | − | 2.25866i | 0.465262 | − | 0.0820382i | ||||
\(759\) | −0.560370 | −0.0203401 | ||||||||
\(760\) | 2.89591 | + | 0.0227681i | 0.105046 | + | 0.000825885i | ||||
\(761\) | 24.4864 | 0.887632 | 0.443816 | − | 0.896118i | \(-0.353624\pi\) | ||||
0.443816 | + | 0.896118i | \(0.353624\pi\) | |||||||
\(762\) | 5.72048 | − | 1.00867i | 0.207231 | − | 0.0365404i | ||||
\(763\) | 6.95837 | + | 8.29266i | 0.251910 | + | 0.300215i | ||||
\(764\) | 9.35053 | − | 3.40332i | 0.338290 | − | 0.123128i | ||||
\(765\) | 9.41992 | + | 33.0503i | 0.340578 | + | 1.19493i | ||||
\(766\) | −40.6086 | − | 34.0746i | −1.46725 | − | 1.23117i | ||||
\(767\) | −41.7867 | − | 24.1255i | −1.50883 | − | 0.871123i | ||||
\(768\) | 2.94910 | − | 1.70266i | 0.106417 | − | 0.0614396i | ||||
\(769\) | −0.519478 | + | 2.94611i | −0.0187329 | + | 0.106239i | −0.992741 | − | 0.120276i | \(-0.961622\pi\) |
0.974008 | + | 0.226515i | \(0.0727333\pi\) | |||||||
\(770\) | 3.68643 | + | 7.58904i | 0.132850 | + | 0.273490i | ||||
\(771\) | 1.48109 | + | 2.56533i | 0.0533402 | + | 0.0923880i | ||||
\(772\) | 24.7656 | + | 14.2984i | 0.891332 | + | 0.514611i | ||||
\(773\) | 12.7042 | − | 15.1403i | 0.456938 | − | 0.544557i | −0.487554 | − | 0.873093i | \(-0.662111\pi\) |
0.944491 | + | 0.328536i | \(0.106555\pi\) | |||||||
\(774\) | 30.7673 | + | 11.1984i | 1.10591 | + | 0.402518i | ||||
\(775\) | 0.0429739 | + | 1.35464i | 0.00154367 | + | 0.0486600i | ||||
\(776\) | 1.30385 | − | 1.09406i | 0.0468056 | − | 0.0392745i | ||||
\(777\) | 0.0755661 | − | 0.0133243i | 0.00271092 | − | 0.000478008i | ||||
\(778\) | 50.9857i | 1.82792i | ||||||||
\(779\) | 29.1793 | + | 3.25183i | 1.04546 | + | 0.116509i | ||||
\(780\) | 2.99550 | − | 2.16906i | 0.107256 | − | 0.0776649i | ||||
\(781\) | −3.75163 | − | 21.2765i | −0.134244 | − | 0.761335i | ||||
\(782\) | −6.86978 | − | 8.18709i | −0.245663 | − | 0.292770i | ||||
\(783\) | −0.546087 | − | 1.50036i | −0.0195155 | − | 0.0536185i | ||||
\(784\) | 26.3093 | + | 9.57581i | 0.939618 | + | 0.341993i | ||||
\(785\) | −0.313440 | + | 4.38183i | −0.0111871 | + | 0.156394i | ||||
\(786\) | 0.748677 | − | 1.29675i | 0.0267044 | − | 0.0462534i | ||||
\(787\) | 20.3920 | − | 11.7733i | 0.726895 | − | 0.419673i | −0.0903901 | − | 0.995906i | \(-0.528811\pi\) |
0.817285 | + | 0.576233i | \(0.195478\pi\) | |||||||
\(788\) | −38.6535 | − | 6.81565i | −1.37697 | − | 0.242798i | ||||
\(789\) | −0.648425 | + | 3.67740i | −0.0230846 | + | 0.130919i | ||||
\(790\) | 26.5847 | − | 59.4546i | 0.945843 | − | 2.11530i | ||||
\(791\) | 2.66897 | − | 4.62280i | 0.0948977 | − | 0.164368i | ||||
\(792\) | 1.60849 | − | 1.91692i | 0.0571551 | − | 0.0681148i | ||||
\(793\) | −12.1814 | + | 33.4681i | −0.432574 | + | 1.18849i | ||||
\(794\) | −39.3532 | + | 14.3234i | −1.39659 | + | 0.508318i | ||||
\(795\) | −0.703926 | + | 2.80421i | −0.0249657 | + | 0.0994551i | ||||
\(796\) | 2.43353 | + | 13.8013i | 0.0862543 | + | 0.489173i | ||||
\(797\) | 5.96976i | 0.211460i | 0.994395 | + | 0.105730i | \(0.0337179\pi\) | ||||
−0.994395 | + | 0.105730i | \(0.966282\pi\) | |||||||
\(798\) | −0.482522 | + | 0.973784i | −0.0170811 | + | 0.0344716i | ||||
\(799\) | −40.9291 | −1.44797 | ||||||||
\(800\) | −5.55254 | + | 38.6132i | −0.196312 | + | 1.36518i | ||||
\(801\) | −18.7094 | + | 15.6991i | −0.661064 | + | 0.554699i | ||||
\(802\) | 17.4861 | + | 48.0427i | 0.617456 | + | 1.69645i | ||||
\(803\) | 15.6689 | − | 43.0500i | 0.552945 | − | 1.51920i | ||||
\(804\) | −1.09442 | − | 0.918325i | −0.0385971 | − | 0.0323868i | ||||
\(805\) | 0.163783 | + | 1.58260i | 0.00577260 | + | 0.0557793i | ||||
\(806\) | −1.26736 | − | 2.19514i | −0.0446409 | − | 0.0773204i | ||||
\(807\) | 2.09978 | + | 0.370247i | 0.0739157 | + | 0.0130333i | ||||
\(808\) | 0.591747 | + | 0.104341i | 0.0208176 | + | 0.00367070i | ||||
\(809\) | −12.9533 | − | 22.4358i | −0.455414 | − | 0.788801i | 0.543297 | − | 0.839540i | \(-0.317176\pi\) |
−0.998712 | + | 0.0507393i | \(0.983842\pi\) | |||||||
\(810\) | 37.8919 | − | 3.92143i | 1.33139 | − | 0.137785i | ||||
\(811\) | 21.1791 | + | 17.7713i | 0.743698 | + | 0.624036i | 0.933828 | − | 0.357723i | \(-0.116447\pi\) |
−0.190130 | + | 0.981759i | \(0.560891\pi\) | |||||||
\(812\) | 0.610445 | − | 1.67718i | 0.0214224 | − | 0.0588576i | ||||
\(813\) | −1.53359 | − | 4.21350i | −0.0537853 | − | 0.147774i | ||||
\(814\) | −2.57743 | + | 2.16272i | −0.0903388 | + | 0.0758032i | ||||
\(815\) | −31.3214 | + | 32.3308i | −1.09714 | + | 1.13250i | ||||
\(816\) | −4.16470 | −0.145794 | ||||||||
\(817\) | −22.4788 | + | 9.83993i | −0.786434 | + | 0.344256i | ||||
\(818\) | − | 45.8018i | − | 1.60142i | ||||||
\(819\) | 1.66151 | + | 9.42291i | 0.0580580 | + | 0.329263i | ||||
\(820\) | −6.77861 | + | 27.0037i | −0.236719 | + | 0.943011i | ||||
\(821\) | 9.72970 | − | 3.54132i | 0.339569 | − | 0.123593i | −0.166607 | − | 0.986023i | \(-0.553281\pi\) |
0.506175 | + | 0.862431i | \(0.331059\pi\) | |||||||
\(822\) | 0.328971 | − | 0.903841i | 0.0114742 | − | 0.0315251i | ||||
\(823\) | 27.2218 | − | 32.4417i | 0.948893 | − | 1.13085i | −0.0423901 | − | 0.999101i | \(-0.513497\pi\) |
0.991284 | − | 0.131746i | \(-0.0420583\pi\) | |||||||
\(824\) | 2.70914 | − | 4.69237i | 0.0943775 | − | 0.163467i | ||||
\(825\) | −0.545983 | − | 2.60960i | −0.0190087 | − | 0.0908546i | ||||
\(826\) | −2.33478 | + | 13.2412i | −0.0812374 | + | 0.460720i | ||||
\(827\) | −22.2391 | − | 3.92136i | −0.773330 | − | 0.136359i | −0.226962 | − | 0.973904i | \(-0.572879\pi\) |
−0.546369 | + | 0.837545i | \(0.683990\pi\) | |||||||
\(828\) | −4.98791 | + | 2.87977i | −0.173342 | + | 0.100079i | ||||
\(829\) | −6.32446 | + | 10.9543i | −0.219657 | + | 0.380458i | −0.954703 | − | 0.297560i | \(-0.903827\pi\) |
0.735046 | + | 0.678017i | \(0.237161\pi\) | |||||||
\(830\) | 62.0508 | + | 4.43860i | 2.15381 | + | 0.154066i | ||||
\(831\) | −0.827794 | − | 0.301292i | −0.0287159 | − | 0.0104517i | ||||
\(832\) | −10.9978 | − | 30.2162i | −0.381280 | − | 1.04756i | ||||
\(833\) | −21.7977 | − | 25.9774i | −0.755244 | − | 0.900065i | ||||
\(834\) | −0.573661 | − | 3.25339i | −0.0198642 | − | 0.112656i | ||||
\(835\) | −23.4179 | − | 32.3404i | −0.810409 | − | 1.11919i | ||||
\(836\) | −1.45358 | − | 22.8430i | −0.0502732 | − | 0.790041i | ||||
\(837\) | 0.303492i | 0.0104902i | ||||||||
\(838\) | −42.4938 | + | 7.49280i | −1.46792 | + | 0.258834i | ||||
\(839\) | −35.3478 | + | 29.6603i | −1.22034 | + | 1.02399i | −0.221535 | + | 0.975152i | \(0.571107\pi\) |
−0.998807 | + | 0.0488360i | \(0.984449\pi\) | |||||||
\(840\) | 0.0699265 | + | 0.0473287i | 0.00241269 | + | 0.00163299i | ||||
\(841\) | 25.3401 | + | 9.22305i | 0.873797 | + | 0.318036i | ||||
\(842\) | 4.70498 | − | 5.60717i | 0.162144 | − | 0.193236i | ||||
\(843\) | −3.65039 | − | 2.10755i | −0.125726 | − | 0.0725880i | ||||
\(844\) | −12.2920 | − | 21.2903i | −0.423108 | − | 0.732844i | ||||
\(845\) | 9.49735 | + | 19.5516i | 0.326719 | + | 0.672596i | ||||
\(846\) | −7.97410 | + | 45.2234i | −0.274155 | + | 1.55481i | ||||
\(847\) | 1.71831 | − | 0.992066i | 0.0590418 | − | 0.0340878i | ||||
\(848\) | 25.5319 | + | 14.7409i | 0.876770 | + | 0.506203i | ||||
\(849\) | −1.56489 | − | 1.31310i | −0.0537070 | − | 0.0450655i | ||||
\(850\) | 31.4333 | − | 39.9690i | 1.07815 | − | 1.37092i | ||||
\(851\) | −0.596230 | + | 0.217010i | −0.0204385 | + | 0.00743900i | ||||
\(852\) | 1.69631 | + | 2.02159i | 0.0581147 | + | 0.0692585i | ||||
\(853\) | 36.8941 | − | 6.50543i | 1.26323 | − | 0.222742i | 0.498386 | − | 0.866955i | \(-0.333926\pi\) |
0.764846 | + | 0.644214i | \(0.222815\pi\) | |||||||
\(854\) | 9.92463 | 0.339614 | ||||||||
\(855\) | −18.7481 | + | 21.9896i | −0.641170 | + | 0.752030i | ||||
\(856\) | −1.84615 | −0.0631000 | ||||||||
\(857\) | −33.3201 | + | 5.87524i | −1.13819 | + | 0.200694i | −0.710816 | − | 0.703378i | \(-0.751674\pi\) |
−0.427379 | + | 0.904073i | \(0.640563\pi\) | |||||||
\(858\) | 3.20505 | + | 3.81962i | 0.109418 | + | 0.130400i | ||||
\(859\) | −19.9349 | + | 7.25572i | −0.680171 | + | 0.247562i | −0.658921 | − | 0.752212i | \(-0.728987\pi\) |
−0.0212498 | + | 0.999774i | \(0.506765\pi\) | |||||||
\(860\) | −6.37811 | − | 22.3779i | −0.217492 | − | 0.763081i | ||||
\(861\) | 0.655764 | + | 0.550251i | 0.0223484 | + | 0.0187525i | ||||
\(862\) | −42.3277 | − | 24.4379i | −1.44169 | − | 0.832358i | ||||
\(863\) | 25.2353 | − | 14.5696i | 0.859019 | − | 0.495955i | −0.00466481 | − | 0.999989i | \(-0.501485\pi\) |
0.863684 | + | 0.504034i | \(0.168152\pi\) | |||||||
\(864\) | −1.51690 | + | 8.60277i | −0.0516060 | + | 0.292672i | ||||
\(865\) | −5.47519 | + | 2.65961i | −0.186162 | + | 0.0904296i | ||||
\(866\) | −10.7625 | − | 18.6412i | −0.365725 | − | 0.633454i | ||||
\(867\) | 1.60499 | + | 0.926641i | 0.0545083 | + | 0.0314704i | ||||
\(868\) | −0.218072 | + | 0.259888i | −0.00740185 | + | 0.00882119i | ||||
\(869\) | 39.6316 | + | 14.4247i | 1.34441 | + | 0.489325i | ||||
\(870\) | −0.658169 | + | 0.972423i | −0.0223140 | + | 0.0329682i | ||||
\(871\) | 15.0342 | − | 12.6152i | 0.509416 | − | 0.427450i | ||||
\(872\) | −4.67838 | + | 0.824925i | −0.158430 | + | 0.0279355i | ||||
\(873\) | 16.9836i | 0.574806i | ||||||||
\(874\) | 2.53110 | − | 8.62273i | 0.0856157 | − | 0.291668i | ||||
\(875\) | −7.21047 | + | 2.30470i | −0.243758 | + | 0.0779129i | ||||
\(876\) | 0.971733 | + | 5.51097i | 0.0328318 | + | 0.186198i | ||||
\(877\) | 4.13842 | + | 4.93198i | 0.139745 | + | 0.166541i | 0.831377 | − | 0.555708i | \(-0.187553\pi\) |
−0.691633 | + | 0.722249i | \(0.743108\pi\) | |||||||
\(878\) | 5.71644 | + | 15.7058i | 0.192920 | + | 0.530045i | ||||
\(879\) | −2.19977 | − | 0.800652i | −0.0741965 | − | 0.0270053i | ||||
\(880\) | −27.1170 | − | 1.93972i | −0.914114 | − | 0.0653881i | ||||
\(881\) | −7.19996 | + | 12.4707i | −0.242573 | + | 0.420148i | −0.961446 | − | 0.274993i | \(-0.911325\pi\) |
0.718874 | + | 0.695141i | \(0.244658\pi\) | |||||||
\(882\) | −32.9497 | + | 19.0235i | −1.10948 | + | 0.640556i | ||||
\(883\) | 25.4096 | + | 4.48039i | 0.855100 | + | 0.150777i | 0.583980 | − | 0.811768i | \(-0.301495\pi\) |
0.271121 | + | 0.962545i | \(0.412606\pi\) | |||||||
\(884\) | −7.93179 | + | 44.9834i | −0.266775 | + | 1.51296i | ||||
\(885\) | 1.73433 | − | 3.87868i | 0.0582988 | − | 0.130381i | ||||
\(886\) | −9.23713 | + | 15.9992i | −0.310327 | + | 0.537503i | ||||
\(887\) | 16.6762 | − | 19.8739i | 0.559931 | − | 0.667300i | −0.409601 | − | 0.912265i | \(-0.634332\pi\) |
0.969532 | + | 0.244965i | \(0.0787764\pi\) | |||||||
\(888\) | −0.0115168 | + | 0.0316421i | −0.000386478 | + | 0.00106184i | ||||
\(889\) | 10.0362 | − | 3.65286i | 0.336602 | − | 0.122513i | ||||
\(890\) | 35.0493 | + | 8.79825i | 1.17486 | + | 0.294918i | ||||
\(891\) | 4.28371 | + | 24.2942i | 0.143510 | + | 0.813885i | ||||
\(892\) | − | 36.7479i | − | 1.23041i | ||||||
\(893\) | −19.0656 | − | 28.6515i | −0.638005 | − | 0.958785i | ||||
\(894\) | 0.636346 | 0.0212826 | ||||||||
\(895\) | −12.3925 | − | 12.0056i | −0.414236 | − | 0.401303i | ||||
\(896\) | 1.22932 | − | 1.03152i | 0.0410687 | − | 0.0344607i | ||||
\(897\) | 0.321598 | + | 0.883584i | 0.0107379 | + | 0.0295020i | ||||
\(898\) | 6.52677 | − | 17.9321i | 0.217801 | − | 0.598404i | ||||
\(899\) | 0.296114 | + | 0.248469i | 0.00987595 | + | 0.00828690i | ||||
\(900\) | −18.2707 | − | 20.4225i | −0.609024 | − | 0.680749i | ||||
\(901\) | −17.8542 | − | 30.9245i | −0.594811 | − | 1.03024i | ||||
\(902\) | −36.9660 | − | 6.51810i | −1.23083 | − | 0.217029i | ||||
\(903\) | −0.704583 | − | 0.124237i | −0.0234470 | − | 0.00413435i | ||||
\(904\) | 1.17125 | + | 2.02866i | 0.0389551 | + | 0.0674722i | ||||
\(905\) | −0.246387 | − | 2.38078i | −0.00819018 | − | 0.0791398i | ||||
\(906\) | 3.12381 | + | 2.62118i | 0.103781 | + | 0.0870830i | ||||
\(907\) | −10.2352 | + | 28.1209i | −0.339853 | + | 0.933740i | 0.645582 | + | 0.763691i | \(0.276615\pi\) |
−0.985436 | + | 0.170049i | \(0.945607\pi\) | |||||||
\(908\) | 17.2615 | + | 47.4255i | 0.572843 | + | 1.57387i | ||||
\(909\) | −4.59296 | + | 3.85395i | −0.152339 | + | 0.127828i | ||||
\(910\) | 9.85065 | − | 10.1681i | 0.326546 | − | 0.337069i | ||||
\(911\) | 3.36120 | 0.111362 | 0.0556808 | − | 0.998449i | \(-0.482267\pi\) | ||||
0.0556808 | + | 0.998449i | \(0.482267\pi\) | |||||||
\(912\) | −1.94000 | − | 2.91540i | −0.0642398 | − | 0.0965386i | ||||
\(913\) | 40.2853i | 1.33325i | ||||||||
\(914\) | −3.56621 | − | 20.2250i | −0.117960 | − | 0.668982i | ||||
\(915\) | −3.04182 | − | 0.763571i | −0.100559 | − | 0.0252429i | ||||
\(916\) | 25.4357 | − | 9.25784i | 0.840419 | − | 0.305888i | ||||
\(917\) | 0.941622 | − | 2.58708i | 0.0310951 | − | 0.0854330i | ||||
\(918\) | 7.31900 | − | 8.72245i | 0.241563 | − | 0.287884i | ||||
\(919\) | 3.46233 | − | 5.99694i | 0.114212 | − | 0.197821i | −0.803253 | − | 0.595639i | \(-0.796899\pi\) |
0.917464 | + | 0.397818i | \(0.130232\pi\) | |||||||
\(920\) | −0.637396 | − | 0.285007i | −0.0210143 | − | 0.00939642i | ||||
\(921\) | −0.136202 | + | 0.772437i | −0.00448799 | + | 0.0254527i | ||||
\(922\) | 43.8052 | + | 7.72404i | 1.44265 | + | 0.254378i | ||||
\(923\) | −31.3955 | + | 18.1262i | −1.03340 | + | 0.596632i | ||||
\(924\) | 0.333687 | − | 0.577962i | 0.0109775 | − | 0.0190136i | ||||
\(925\) | −1.59152 | − | 2.56516i | −0.0523289 | − | 0.0843419i | ||||
\(926\) | 65.6965 | + | 23.9116i | 2.15892 | + | 0.785783i | ||||
\(927\) | 18.4913 | + | 50.8045i | 0.607335 | + | 1.66864i | ||||
\(928\) | 7.15173 | + | 8.52310i | 0.234767 | + | 0.279785i | ||||
\(929\) | −4.74769 | − | 26.9255i | −0.155767 | − | 0.883396i | −0.958082 | − | 0.286495i | \(-0.907510\pi\) |
0.802315 | − | 0.596901i | \(-0.203601\pi\) | |||||||
\(930\) | 0.180779 | − | 0.130903i | 0.00592798 | − | 0.00429248i | ||||
\(931\) | 8.03112 | − | 27.3597i | 0.263209 | − | 0.896679i | ||||
\(932\) | − | 12.2546i | − | 0.401413i | ||||||
\(933\) | 2.23508 | − | 0.394105i | 0.0731732 | − | 0.0129024i | ||||
\(934\) | −4.36053 | + | 3.65892i | −0.142681 | + | 0.119724i | ||||
\(935\) | 27.2693 | + | 18.4568i | 0.891802 | + | 0.603602i | ||||
\(936\) | −3.94570 | − | 1.43612i | −0.128969 | − | 0.0469409i | ||||
\(937\) | −23.8716 | + | 28.4491i | −0.779851 | + | 0.929390i | −0.998927 | − | 0.0463175i | \(-0.985251\pi\) |
0.219076 | + | 0.975708i | \(0.429696\pi\) | |||||||
\(938\) | −4.73616 | − | 2.73443i | −0.154641 | − | 0.0892822i | ||||
\(939\) | −0.898989 | − | 1.55710i | −0.0293374 | − | 0.0508139i | ||||
\(940\) | 29.3552 | − | 14.2595i | 0.957461 | − | 0.465094i | ||||
\(941\) | 8.80177 | − | 49.9173i | 0.286929 | − | 1.62726i | −0.411382 | − | 0.911463i | \(-0.634954\pi\) |
0.698311 | − | 0.715794i | \(-0.253935\pi\) | |||||||
\(942\) | 0.626529 | − | 0.361727i | 0.0204134 | − | 0.0117857i | ||||
\(943\) | −6.13023 | − | 3.53929i | −0.199628 | − | 0.115255i | ||||
\(944\) | −33.1887 | − | 27.8487i | −1.08020 | − | 0.906396i | ||||
\(945\) | −1.63017 | + | 0.464628i | −0.0530295 | + | 0.0151144i | ||||
\(946\) | 29.4797 | − | 10.7297i | 0.958468 | − | 0.348854i | ||||
\(947\) | −2.61402 | − | 3.11527i | −0.0849442 | − | 0.101233i | 0.721898 | − | 0.691999i | \(-0.243270\pi\) |
−0.806842 | + | 0.590767i | \(0.798825\pi\) | |||||||
\(948\) | −5.07336 | + | 0.894571i | −0.164775 | + | 0.0290543i | ||||
\(949\) | −76.8732 | −2.49541 | ||||||||
\(950\) | 42.6215 | + | 3.38579i | 1.38282 | + | 0.109849i | ||||
\(951\) | 2.09655 | 0.0679852 | ||||||||
\(952\) | −1.02702 | + | 0.181091i | −0.0332859 | + | 0.00586921i | ||||
\(953\) | −9.53460 | − | 11.3629i | −0.308856 | − | 0.368080i | 0.589180 | − | 0.808002i | \(-0.299451\pi\) |
−0.898036 | + | 0.439921i | \(0.855006\pi\) | |||||||
\(954\) | −37.6475 | + | 13.7026i | −1.21888 | + | 0.443637i | ||||
\(955\) | −11.5757 | + | 3.29927i | −0.374580 | + | 0.106762i | ||||
\(956\) | −17.9546 | − | 15.0657i | −0.580692 | − | 0.487258i | ||||
\(957\) | −0.658523 | − | 0.380198i | −0.0212870 | − | 0.0122901i | ||||
\(958\) | 49.8656 | − | 28.7899i | 1.61108 | − | 0.930160i | ||||
\(959\) | 0.307098 | − | 1.74164i | 0.00991671 | − | 0.0562405i | ||||
\(960\) | 2.54688 | − | 1.23717i | 0.0822002 | − | 0.0399294i | ||||
\(961\) | 15.4633 | + | 26.7832i | 0.498815 | + | 0.863973i | ||||
\(962\) | 4.88934 | + | 2.82286i | 0.157639 | + | 0.0910128i | ||||
\(963\) | 11.8410 | − | 14.1115i | 0.381571 | − | 0.454738i | ||||
\(964\) | 24.5166 | + | 8.92330i | 0.789626 | + | 0.287400i | ||||
\(965\) | −28.6470 | − | 19.3893i | −0.922178 | − | 0.624162i | ||||
\(966\) | 0.200717 | − | 0.168422i | 0.00645797 | − | 0.00541888i | ||||
\(967\) | −55.8584 | + | 9.84935i | −1.79629 | + | 0.316734i | −0.969372 | − | 0.245595i | \(-0.921017\pi\) |
−0.826914 | + | 0.562329i | \(0.809905\pi\) | |||||||
\(968\) | 0.870712i | 0.0279858i | ||||||||
\(969\) | 0.269358 | + | 4.23294i | 0.00865301 | + | 0.135982i | ||||
\(970\) | 20.3532 | − | 14.7379i | 0.653501 | − | 0.473204i | ||||
\(971\) | −2.18689 | − | 12.4025i | −0.0701805 | − | 0.398014i | −0.999581 | − | 0.0289410i | \(-0.990786\pi\) |
0.929401 | − | 0.369073i | \(-0.120325\pi\) | |||||||
\(972\) | −5.92802 | − | 7.06474i | −0.190141 | − | 0.226602i | ||||
\(973\) | −2.07748 | − | 5.70783i | −0.0666010 | − | 0.182985i | ||||
\(974\) | −6.29879 | − | 2.29257i | −0.201826 | − | 0.0734588i | ||||
\(975\) | −3.80144 | + | 2.35856i | −0.121744 | + | 0.0755343i | ||||
\(976\) | −15.9899 | + | 27.6953i | −0.511824 | + | 0.886505i | ||||
\(977\) | −31.9540 | + | 18.4486i | −1.02230 | + | 0.590224i | −0.914769 | − | 0.403978i | \(-0.867627\pi\) |
−0.107529 | + | 0.994202i | \(0.534294\pi\) | |||||||
\(978\) | 7.30047 | + | 1.28727i | 0.233443 | + | 0.0411623i | ||||
\(979\) | −4.06359 | + | 23.0458i | −0.129873 | + | 0.736546i | ||||
\(980\) | 24.6841 | + | 11.0374i | 0.788506 | + | 0.352575i | ||||
\(981\) | 23.7011 | − | 41.0515i | 0.756718 | − | 1.31067i | ||||
\(982\) | −31.7599 | + | 37.8500i | −1.01350 | + | 1.20784i | ||||
\(983\) | −3.26993 | + | 8.98405i | −0.104295 | + | 0.286547i | −0.980853 | − | 0.194748i | \(-0.937611\pi\) |
0.876559 | + | 0.481295i | \(0.159833\pi\) | |||||||
\(984\) | −0.353007 | + | 0.128484i | −0.0112535 | + | 0.00409592i | ||||
\(985\) | 46.0493 | + | 11.5595i | 1.46725 | + | 0.368317i | ||||
\(986\) | −2.51832 | − | 14.2821i | −0.0801997 | − | 0.454835i | ||||
\(987\) | − | 1.00343i | − | 0.0319396i | ||||||
\(988\) | −35.1843 | + | 15.4017i | −1.11936 | + | 0.489992i | ||||
\(989\) | 5.91606 | 0.188120 | ||||||||
\(990\) | 25.7061 | − | 26.5345i | 0.816993 | − | 0.843321i | ||||
\(991\) | −12.4584 | + | 10.4538i | −0.395755 | + | 0.332077i | −0.818850 | − | 0.574008i | \(-0.805388\pi\) |
0.423095 | + | 0.906085i | \(0.360944\pi\) | |||||||
\(992\) | −0.723325 | − | 1.98732i | −0.0229656 | − | 0.0630974i | ||||
\(993\) | −1.39236 | + | 3.82546i | −0.0441851 | + | 0.121397i | ||||
\(994\) | 7.73855 | + | 6.49342i | 0.245452 | + | 0.205959i | ||||
\(995\) | −1.74505 | − | 16.8620i | −0.0553218 | − | 0.534561i | ||||
\(996\) | −2.46040 | − | 4.26153i | −0.0779607 | − | 0.135032i | ||||
\(997\) | 36.0838 | + | 6.36254i | 1.14278 | + | 0.201504i | 0.712823 | − | 0.701344i | \(-0.247416\pi\) |
0.429961 | + | 0.902848i | \(0.358527\pi\) | |||||||
\(998\) | −67.1039 | − | 11.8322i | −2.12414 | − | 0.374543i | ||||
\(999\) | −0.337992 | − | 0.585420i | −0.0106936 | − | 0.0185219i |
(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 | 95.2.p.a.9.8 | yes | 48 | |
3.2 | odd | 2 | 855.2.da.b.199.1 | 48 | |||
5.2 | odd | 4 | 475.2.l.f.351.8 | 48 | |||
5.3 | odd | 4 | 475.2.l.f.351.1 | 48 | |||
5.4 | even | 2 | inner | 95.2.p.a.9.1 | ✓ | 48 | |
15.14 | odd | 2 | 855.2.da.b.199.8 | 48 | |||
19.6 | even | 9 | 1805.2.b.k.1084.4 | 24 | |||
19.13 | odd | 18 | 1805.2.b.l.1084.21 | 24 | |||
19.17 | even | 9 | inner | 95.2.p.a.74.1 | yes | 48 | |
57.17 | odd | 18 | 855.2.da.b.739.8 | 48 | |||
95.13 | even | 36 | 9025.2.a.ct.1.21 | 24 | |||
95.17 | odd | 36 | 475.2.l.f.226.8 | 48 | |||
95.32 | even | 36 | 9025.2.a.ct.1.4 | 24 | |||
95.44 | even | 18 | 1805.2.b.k.1084.21 | 24 | |||
95.63 | odd | 36 | 9025.2.a.cu.1.4 | 24 | |||
95.74 | even | 18 | inner | 95.2.p.a.74.8 | yes | 48 | |
95.82 | odd | 36 | 9025.2.a.cu.1.21 | 24 | |||
95.89 | odd | 18 | 1805.2.b.l.1084.4 | 24 | |||
95.93 | odd | 36 | 475.2.l.f.226.1 | 48 | |||
285.74 | odd | 18 | 855.2.da.b.739.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.9.1 | ✓ | 48 | 5.4 | even | 2 | inner | |
95.2.p.a.9.8 | yes | 48 | 1.1 | even | 1 | trivial | |
95.2.p.a.74.1 | yes | 48 | 19.17 | even | 9 | inner | |
95.2.p.a.74.8 | yes | 48 | 95.74 | even | 18 | inner | |
475.2.l.f.226.1 | 48 | 95.93 | odd | 36 | |||
475.2.l.f.226.8 | 48 | 95.17 | odd | 36 | |||
475.2.l.f.351.1 | 48 | 5.3 | odd | 4 | |||
475.2.l.f.351.8 | 48 | 5.2 | odd | 4 | |||
855.2.da.b.199.1 | 48 | 3.2 | odd | 2 | |||
855.2.da.b.199.8 | 48 | 15.14 | odd | 2 | |||
855.2.da.b.739.1 | 48 | 285.74 | odd | 18 | |||
855.2.da.b.739.8 | 48 | 57.17 | odd | 18 | |||
1805.2.b.k.1084.4 | 24 | 19.6 | even | 9 | |||
1805.2.b.k.1084.21 | 24 | 95.44 | even | 18 | |||
1805.2.b.l.1084.4 | 24 | 95.89 | odd | 18 | |||
1805.2.b.l.1084.21 | 24 | 19.13 | odd | 18 | |||
9025.2.a.ct.1.4 | 24 | 95.32 | even | 36 | |||
9025.2.a.ct.1.21 | 24 | 95.13 | even | 36 | |||
9025.2.a.cu.1.4 | 24 | 95.63 | odd | 36 | |||
9025.2.a.cu.1.21 | 24 | 95.82 | odd | 36 |