Newspace parameters
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.15589 | + | 1.71927i | −1.52444 | + | 1.21570i | −0.623459 | + | 0.781856i | \(0.714273\pi\) |
−0.900986 | + | 0.433848i | \(0.857156\pi\) | |||||||
\(3\) | −1.44111 | − | 0.960829i | −0.832027 | − | 0.554735i | ||||
\(4\) | 1.24695 | − | 5.46324i | 0.623474 | − | 2.73162i | ||||
\(5\) | −1.16954 | − | 0.797380i | −0.523035 | − | 0.356599i | 0.272841 | − | 0.962059i | \(-0.412037\pi\) |
−0.795876 | + | 0.605460i | \(0.792989\pi\) | |||||||
\(6\) | 4.75880 | − | 0.406215i | 1.94277 | − | 0.165837i | ||||
\(7\) | 1.71430 | − | 2.01524i | 0.647945 | − | 0.761688i | ||||
\(8\) | 4.31162 | + | 8.95316i | 1.52439 | + | 3.16542i | ||||
\(9\) | 1.15362 | + | 2.76933i | 0.384539 | + | 0.923109i | ||||
\(10\) | 3.89231 | − | 0.291689i | 1.23086 | − | 0.0922400i | ||||
\(11\) | 0.0494234 | + | 0.327903i | 0.0149017 | + | 0.0988663i | 0.995045 | − | 0.0994227i | \(-0.0316996\pi\) |
−0.980144 | + | 0.198289i | \(0.936462\pi\) | |||||||
\(12\) | −7.04623 | + | 6.67505i | −2.03407 | + | 1.92692i | ||||
\(13\) | −0.0685054 | − | 0.454504i | −0.0190000 | − | 0.126057i | 0.977320 | − | 0.211767i | \(-0.0679220\pi\) |
−0.996320 | + | 0.0857109i | \(0.972684\pi\) | |||||||
\(14\) | −0.231119 | + | 7.29196i | −0.0617690 | + | 1.94886i | ||||
\(15\) | 0.919297 | + | 2.27285i | 0.237362 | + | 0.586846i | ||||
\(16\) | −14.5906 | − | 7.02649i | −3.64766 | − | 1.75662i | ||||
\(17\) | 1.77059 | − | 1.64287i | 0.429432 | − | 0.398455i | −0.435625 | − | 0.900128i | \(-0.643473\pi\) |
0.865057 | + | 0.501674i | \(0.167282\pi\) | |||||||
\(18\) | −7.24828 | − | 3.98699i | −1.70844 | − | 0.939743i | ||||
\(19\) | 4.18608 | + | 2.41683i | 0.960352 | + | 0.554460i | 0.896281 | − | 0.443486i | \(-0.146258\pi\) |
0.0640709 | + | 0.997945i | \(0.479592\pi\) | |||||||
\(20\) | −5.81464 | + | 5.39520i | −1.30019 | + | 1.20640i | ||||
\(21\) | −4.40680 | + | 1.25704i | −0.961642 | + | 0.274308i | ||||
\(22\) | −0.670303 | − | 0.621950i | −0.142909 | − | 0.132600i | ||||
\(23\) | −2.02294 | − | 6.55820i | −0.421811 | − | 1.36748i | −0.878453 | − | 0.477829i | \(-0.841424\pi\) |
0.456642 | − | 0.889651i | \(-0.349052\pi\) | |||||||
\(24\) | 2.38893 | − | 17.0452i | 0.487637 | − | 3.47935i | ||||
\(25\) | −1.09469 | − | 2.78923i | −0.218938 | − | 0.557846i | ||||
\(26\) | 0.929102 | + | 0.862081i | 0.182212 | + | 0.169068i | ||||
\(27\) | 0.998355 | − | 5.09934i | 0.192133 | − | 0.981369i | ||||
\(28\) | −8.87207 | − | 11.8785i | −1.67666 | − | 2.24483i | ||||
\(29\) | −1.43127 | − | 1.54255i | −0.265781 | − | 0.286443i | 0.586034 | − | 0.810286i | \(-0.300688\pi\) |
−0.851815 | + | 0.523843i | \(0.824498\pi\) | |||||||
\(30\) | −5.88953 | − | 3.31949i | −1.07528 | − | 0.606053i | ||||
\(31\) | 8.28618i | 1.48824i | 0.668045 | + | 0.744121i | \(0.267131\pi\) | ||||
−0.668045 | + | 0.744121i | \(0.732869\pi\) | |||||||
\(32\) | 24.1600 | − | 5.51436i | 4.27093 | − | 0.974811i | ||||
\(33\) | 0.243833 | − | 0.520032i | 0.0424460 | − | 0.0905260i | ||||
\(34\) | −0.992675 | + | 6.58597i | −0.170242 | + | 1.12948i | ||||
\(35\) | −3.61186 | + | 0.989954i | −0.610515 | + | 0.167333i | ||||
\(36\) | 16.5680 | − | 2.84928i | 2.76133 | − | 0.474880i | ||||
\(37\) | −8.11144 | − | 2.50205i | −1.33351 | − | 0.411334i | −0.455613 | − | 0.890178i | \(-0.650580\pi\) |
−0.877900 | + | 0.478844i | \(0.841056\pi\) | |||||||
\(38\) | −13.1799 | + | 1.98655i | −2.13806 | + | 0.322261i | ||||
\(39\) | −0.337976 | + | 0.720813i | −0.0541195 | + | 0.115422i | ||||
\(40\) | 2.09646 | − | 13.9091i | 0.331479 | − | 2.19922i | ||||
\(41\) | −0.100337 | + | 1.33890i | −0.0156700 | + | 0.209102i | 0.983873 | + | 0.178869i | \(0.0572438\pi\) |
−0.999543 | + | 0.0302326i | \(0.990375\pi\) | |||||||
\(42\) | 7.33940 | − | 10.2865i | 1.13249 | − | 1.58724i | ||||
\(43\) | −0.468804 | − | 6.25575i | −0.0714919 | − | 0.953993i | −0.911468 | − | 0.411370i | \(-0.865050\pi\) |
0.839976 | − | 0.542623i | \(-0.182569\pi\) | |||||||
\(44\) | 1.85304 | + | 0.138866i | 0.279356 | + | 0.0209348i | ||||
\(45\) | 0.859003 | − | 4.15872i | 0.128053 | − | 0.619945i | ||||
\(46\) | 15.6365 | + | 10.6608i | 2.30548 | + | 1.57185i | ||||
\(47\) | 5.40906 | + | 6.78275i | 0.788993 | + | 0.989366i | 0.999930 | + | 0.0118662i | \(0.00377723\pi\) |
−0.210937 | + | 0.977500i | \(0.567651\pi\) | |||||||
\(48\) | 14.2755 | + | 24.1451i | 2.06050 | + | 3.48504i | ||||
\(49\) | −1.12235 | − | 6.90944i | −0.160336 | − | 0.987063i | ||||
\(50\) | 7.15546 | + | 4.13121i | 1.01193 | + | 0.584241i | ||||
\(51\) | −4.13014 | + | 0.666326i | −0.578336 | + | 0.0933043i | ||||
\(52\) | −2.56848 | − | 0.192481i | −0.356185 | − | 0.0266924i | ||||
\(53\) | −2.76079 | − | 8.95026i | −0.379224 | − | 1.22941i | −0.921223 | − | 0.389034i | \(-0.872809\pi\) |
0.542000 | − | 0.840379i | \(-0.317667\pi\) | |||||||
\(54\) | 6.61478 | + | 12.7101i | 0.900157 | + | 1.72962i | ||||
\(55\) | 0.203660 | − | 0.422905i | 0.0274616 | − | 0.0570245i | ||||
\(56\) | 25.4341 | + | 6.65949i | 3.39878 | + | 0.889911i | ||||
\(57\) | −3.71045 | − | 7.50504i | −0.491461 | − | 0.994066i | ||||
\(58\) | 5.73771 | + | 0.864821i | 0.753399 | + | 0.113557i | ||||
\(59\) | −8.56762 | − | 4.12595i | −1.11541 | − | 0.537153i | −0.216938 | − | 0.976185i | \(-0.569607\pi\) |
−0.898471 | + | 0.439033i | \(0.855321\pi\) | |||||||
\(60\) | 13.5634 | − | 2.18822i | 1.75103 | − | 0.282498i | ||||
\(61\) | 10.0052 | − | 2.28363i | 1.28104 | − | 0.292389i | 0.472761 | − | 0.881191i | \(-0.343257\pi\) |
0.808277 | + | 0.588802i | \(0.200400\pi\) | |||||||
\(62\) | −14.2461 | − | 17.8641i | −1.80926 | − | 2.26874i | ||||
\(63\) | 7.55849 | + | 2.42265i | 0.952280 | + | 0.305225i | ||||
\(64\) | −22.4116 | + | 28.1032i | −2.80145 | + | 3.51291i | ||||
\(65\) | −0.282292 | + | 0.586186i | −0.0350140 | + | 0.0727074i | ||||
\(66\) | 0.368395 | + | 1.54035i | 0.0453463 | + | 0.189604i | ||||
\(67\) | −14.6741 | −1.79272 | −0.896362 | − | 0.443323i | \(-0.853799\pi\) | ||||
−0.896362 | + | 0.443323i | \(0.853799\pi\) | |||||||
\(68\) | −6.76755 | − | 11.7217i | −0.820687 | − | 1.42147i | ||||
\(69\) | −3.38602 | + | 11.3948i | −0.407629 | + | 1.37177i | ||||
\(70\) | 6.08477 | − | 8.34397i | 0.727269 | − | 0.997295i | ||||
\(71\) | −6.85811 | − | 1.56532i | −0.813907 | − | 0.185769i | −0.204746 | − | 0.978815i | \(-0.565637\pi\) |
−0.609162 | + | 0.793046i | \(0.708494\pi\) | |||||||
\(72\) | −19.8203 | + | 22.2688i | −2.33584 | + | 2.62440i | ||||
\(73\) | 0.873201 | − | 5.79331i | 0.102200 | − | 0.678056i | −0.877795 | − | 0.479036i | \(-0.840986\pi\) |
0.979996 | − | 0.199019i | \(-0.0637757\pi\) | |||||||
\(74\) | 21.7891 | − | 8.55158i | 2.53293 | − | 0.994101i | ||||
\(75\) | −1.10240 | + | 5.07141i | −0.127294 | + | 0.585596i | ||||
\(76\) | 18.4236 | − | 19.8559i | 2.11333 | − | 2.27763i | ||||
\(77\) | 0.745527 | + | 0.462524i | 0.0849607 | + | 0.0527095i | ||||
\(78\) | −0.510630 | − | 2.13506i | −0.0578175 | − | 0.241748i | ||||
\(79\) | 0.748846 | 0.0842517 | 0.0421259 | − | 0.999112i | \(-0.486587\pi\) | ||||
0.0421259 | + | 0.999112i | \(0.486587\pi\) | |||||||
\(80\) | 11.4616 | + | 19.8521i | 1.28145 | + | 2.21953i | ||||
\(81\) | −6.33834 | + | 6.38948i | −0.704260 | + | 0.709943i | ||||
\(82\) | −2.08562 | − | 3.05904i | −0.230318 | − | 0.337814i | ||||
\(83\) | −2.02882 | − | 0.305796i | −0.222692 | − | 0.0335655i | 0.0367482 | − | 0.999325i | \(-0.488300\pi\) |
−0.259441 | + | 0.965759i | \(0.583538\pi\) | |||||||
\(84\) | 1.37243 | + | 25.6428i | 0.149745 | + | 2.79786i | ||||
\(85\) | −3.38078 | + | 0.509570i | −0.366697 | + | 0.0552706i | ||||
\(86\) | 11.7660 | + | 12.6807i | 1.26876 | + | 1.36740i | ||||
\(87\) | 0.580505 | + | 3.59819i | 0.0622367 | + | 0.385767i | ||||
\(88\) | −2.72267 | + | 1.85629i | −0.290238 | + | 0.197881i | ||||
\(89\) | −4.01175 | − | 10.2218i | −0.425245 | − | 1.08351i | −0.969610 | − | 0.244657i | \(-0.921325\pi\) |
0.544365 | − | 0.838848i | \(-0.316771\pi\) | |||||||
\(90\) | 5.29802 | + | 10.4426i | 0.558460 | + | 1.10075i | ||||
\(91\) | −1.03337 | − | 0.641101i | −0.108327 | − | 0.0672056i | ||||
\(92\) | −38.3515 | + | 2.87405i | −3.99842 | + | 0.299640i | ||||
\(93\) | 7.96159 | − | 11.9413i | 0.825579 | − | 1.23826i | ||||
\(94\) | −23.3227 | − | 5.32325i | −2.40555 | − | 0.549052i | ||||
\(95\) | −2.96866 | − | 6.16449i | −0.304578 | − | 0.632463i | ||||
\(96\) | −40.1157 | − | 15.2668i | −4.09429 | − | 1.55816i | ||||
\(97\) | −7.31521 | + | 4.22344i | −0.742747 | + | 0.428825i | −0.823067 | − | 0.567944i | \(-0.807739\pi\) |
0.0803202 | + | 0.996769i | \(0.474406\pi\) | |||||||
\(98\) | 14.2988 | + | 12.9664i | 1.44440 | + | 1.30980i | ||||
\(99\) | −0.851054 | + | 0.515143i | −0.0855341 | + | 0.0517739i | ||||
\(100\) | −16.6033 | + | 2.50254i | −1.66033 | + | 0.250254i | ||||
\(101\) | 0.757537 | − | 10.1086i | 0.0753778 | − | 1.00585i | −0.823405 | − | 0.567453i | \(-0.807929\pi\) |
0.898783 | − | 0.438393i | \(-0.144452\pi\) | |||||||
\(102\) | 7.75854 | − | 8.53734i | 0.768210 | − | 0.845322i | ||||
\(103\) | 3.24831 | − | 4.76440i | 0.320066 | − | 0.469450i | −0.632163 | − | 0.774835i | \(-0.717833\pi\) |
0.952229 | + | 0.305385i | \(0.0987851\pi\) | |||||||
\(104\) | 3.77388 | − | 2.57298i | 0.370059 | − | 0.252302i | ||||
\(105\) | 6.15627 | + | 2.04374i | 0.600790 | + | 0.199448i | ||||
\(106\) | 21.3398 | + | 14.5493i | 2.07271 | + | 1.41315i | ||||
\(107\) | 0.497330 | − | 0.195188i | 0.0480787 | − | 0.0188695i | −0.341180 | − | 0.939998i | \(-0.610827\pi\) |
0.389259 | + | 0.921129i | \(0.372731\pi\) | |||||||
\(108\) | −26.6140 | − | 11.8129i | −2.56094 | − | 1.13669i | ||||
\(109\) | −4.52761 | + | 11.5362i | −0.433666 | + | 1.10496i | 0.532359 | + | 0.846518i | \(0.321306\pi\) |
−0.966026 | + | 0.258446i | \(0.916790\pi\) | |||||||
\(110\) | 0.288017 | + | 1.26188i | 0.0274613 | + | 0.120316i | ||||
\(111\) | 9.28547 | + | 11.3994i | 0.881338 | + | 1.08199i | ||||
\(112\) | −39.1728 | + | 17.3581i | −3.70148 | + | 1.64019i | ||||
\(113\) | −7.40132 | + | 2.90480i | −0.696258 | + | 0.273261i | −0.686959 | − | 0.726696i | \(-0.741055\pi\) |
−0.00929826 | + | 0.999957i | \(0.502960\pi\) | |||||||
\(114\) | 20.9025 | + | 9.80078i | 1.95770 | + | 0.917928i | ||||
\(115\) | −2.86347 | + | 9.28314i | −0.267020 | + | 0.865657i | ||||
\(116\) | −10.2120 | + | 5.89591i | −0.948162 | + | 0.547422i | ||||
\(117\) | 1.17964 | − | 0.714037i | 0.109058 | − | 0.0660127i | ||||
\(118\) | 25.5645 | − | 5.83492i | 2.35340 | − | 0.537148i | ||||
\(119\) | −0.275443 | − | 6.38453i | −0.0252498 | − | 0.585269i | ||||
\(120\) | −16.3855 | + | 18.0303i | −1.49578 | + | 1.64593i | ||||
\(121\) | 10.4062 | − | 3.20989i | 0.946020 | − | 0.291809i | ||||
\(122\) | −17.6440 | + | 22.1249i | −1.59741 | + | 2.00309i | ||||
\(123\) | 1.43105 | − | 1.83311i | 0.129034 | − | 0.165286i | ||||
\(124\) | 45.2694 | + | 10.3324i | 4.06531 | + | 0.927880i | ||||
\(125\) | −2.51868 | + | 11.0351i | −0.225278 | + | 0.987006i | ||||
\(126\) | −20.4605 | + | 7.77209i | −1.82276 | + | 0.692393i | ||||
\(127\) | 3.31618 | + | 14.5291i | 0.294263 | + | 1.28925i | 0.878529 | + | 0.477689i | \(0.158525\pi\) |
−0.584266 | + | 0.811562i | \(0.698617\pi\) | |||||||
\(128\) | − | 49.5563i | − | 4.38020i | ||||||
\(129\) | −5.33510 | + | 9.46569i | −0.469730 | + | 0.833407i | ||||
\(130\) | −0.399218 | − | 1.74909i | −0.0350137 | − | 0.153405i | ||||
\(131\) | 0.242007 | + | 3.22936i | 0.0211442 | + | 0.282150i | 0.997746 | + | 0.0670966i | \(0.0213736\pi\) |
−0.976602 | + | 0.215054i | \(0.931007\pi\) | |||||||
\(132\) | −2.53701 | − | 1.98057i | −0.220819 | − | 0.172387i | ||||
\(133\) | 12.0467 | − | 4.29276i | 1.04458 | − | 0.372229i | ||||
\(134\) | 31.6357 | − | 25.2286i | 2.73291 | − | 2.17942i | ||||
\(135\) | −5.23373 | + | 5.16783i | −0.450448 | + | 0.444776i | ||||
\(136\) | 22.3430 | + | 8.76898i | 1.91590 | + | 0.751934i | ||||
\(137\) | −3.51017 | − | 5.14847i | −0.299894 | − | 0.439863i | 0.646483 | − | 0.762928i | \(-0.276239\pi\) |
−0.946377 | + | 0.323065i | \(0.895287\pi\) | |||||||
\(138\) | −12.2908 | − | 30.3874i | −1.04626 | − | 2.58675i | ||||
\(139\) | −12.4230 | − | 0.930974i | −1.05370 | − | 0.0789642i | −0.463403 | − | 0.886148i | \(-0.653372\pi\) |
−0.590301 | + | 0.807183i | \(0.700991\pi\) | |||||||
\(140\) | 0.904556 | + | 20.9669i | 0.0764489 | + | 1.77202i | ||||
\(141\) | −1.27801 | − | 14.9719i | −0.107628 | − | 1.26086i | ||||
\(142\) | 17.4765 | − | 8.41625i | 1.46660 | − | 0.706276i | ||||
\(143\) | 0.145647 | − | 0.0449262i | 0.0121796 | − | 0.00375692i | ||||
\(144\) | 2.62661 | − | 48.5121i | 0.218884 | − | 4.04268i | ||||
\(145\) | 0.443939 | + | 2.94534i | 0.0368671 | + | 0.244597i | ||||
\(146\) | 8.07771 | + | 13.9910i | 0.668516 | + | 1.15790i | ||||
\(147\) | −5.02135 | + | 11.0357i | −0.414154 | + | 0.910207i | ||||
\(148\) | −23.7838 | + | 41.1948i | −1.95502 | + | 3.38619i | ||||
\(149\) | −2.07032 | − | 0.812542i | −0.169607 | − | 0.0665660i | 0.279018 | − | 0.960286i | \(-0.409991\pi\) |
−0.448626 | + | 0.893720i | \(0.648086\pi\) | |||||||
\(150\) | −6.34245 | − | 12.8287i | −0.517859 | − | 1.04746i | ||||
\(151\) | −3.88306 | − | 3.60295i | −0.315999 | − | 0.293204i | 0.506186 | − | 0.862424i | \(-0.331055\pi\) |
−0.822185 | + | 0.569220i | \(0.807245\pi\) | |||||||
\(152\) | −3.58954 | + | 47.8991i | −0.291150 | + | 3.88513i | ||||
\(153\) | 6.59223 | + | 3.00811i | 0.532950 | + | 0.243191i | ||||
\(154\) | −2.40248 | + | 0.284609i | −0.193597 | + | 0.0229344i | ||||
\(155\) | 6.60723 | − | 9.69103i | 0.530706 | − | 0.778402i | ||||
\(156\) | 3.51654 | + | 2.74526i | 0.281548 | + | 0.219797i | ||||
\(157\) | 3.66918 | − | 7.61912i | 0.292832 | − | 0.608072i | −0.701704 | − | 0.712469i | \(-0.747577\pi\) |
0.994536 | + | 0.104397i | \(0.0332912\pi\) | |||||||
\(158\) | −1.61443 | + | 1.28746i | −0.128437 | + | 0.102425i | ||||
\(159\) | −4.62105 | + | 15.5510i | −0.366473 | + | 1.23327i | ||||
\(160\) | −32.6532 | − | 12.8154i | −2.58146 | − | 1.01315i | ||||
\(161\) | −16.6842 | − | 7.16603i | −1.31490 | − | 0.564762i | ||||
\(162\) | 2.67954 | − | 24.6723i | 0.210525 | − | 1.93844i | ||||
\(163\) | 4.65141 | − | 3.17128i | 0.364327 | − | 0.248394i | −0.367295 | − | 0.930104i | \(-0.619716\pi\) |
0.731622 | + | 0.681711i | \(0.238764\pi\) | |||||||
\(164\) | 7.18964 | + | 2.21771i | 0.561416 | + | 0.173174i | ||||
\(165\) | −0.699837 | + | 0.413772i | −0.0544822 | + | 0.0322121i | ||||
\(166\) | 4.89967 | − | 2.82882i | 0.380288 | − | 0.219559i | ||||
\(167\) | 16.1048 | + | 4.96767i | 1.24622 | + | 0.384409i | 0.846580 | − | 0.532261i | \(-0.178657\pi\) |
0.399644 | + | 0.916670i | \(0.369134\pi\) | |||||||
\(168\) | −30.2549 | − | 34.0349i | −2.33421 | − | 2.62585i | ||||
\(169\) | 12.2206 | − | 3.76955i | 0.940044 | − | 0.289965i | ||||
\(170\) | 6.41250 | − | 6.91103i | 0.491816 | − | 0.530052i | ||||
\(171\) | −1.86387 | + | 14.3807i | −0.142534 | + | 1.09972i | ||||
\(172\) | −34.7612 | − | 5.23941i | −2.65052 | − | 0.399502i | ||||
\(173\) | 3.48295 | − | 15.2598i | 0.264804 | − | 1.16018i | −0.651166 | − | 0.758935i | \(-0.725720\pi\) |
0.915970 | − | 0.401246i | \(-0.131423\pi\) | |||||||
\(174\) | −7.43775 | − | 6.75926i | −0.563854 | − | 0.512418i | ||||
\(175\) | −7.49758 | − | 2.57551i | −0.566764 | − | 0.194691i | ||||
\(176\) | 1.58288 | − | 5.13158i | 0.119314 | − | 0.386808i | ||||
\(177\) | 8.38259 | + | 14.1780i | 0.630074 | + | 1.06568i | ||||
\(178\) | 26.2228 | + | 15.1398i | 1.96548 | + | 1.13477i | ||||
\(179\) | 10.5088 | + | 11.3258i | 0.785465 | + | 0.846530i | 0.991240 | − | 0.132070i | \(-0.0421622\pi\) |
−0.205776 | + | 0.978599i | \(0.565972\pi\) | |||||||
\(180\) | −21.6489 | − | 9.87864i | −1.61362 | − | 0.736311i | ||||
\(181\) | 9.01116 | + | 7.18616i | 0.669794 | + | 0.534143i | 0.898291 | − | 0.439402i | \(-0.144809\pi\) |
−0.228496 | + | 0.973545i | \(0.573381\pi\) | |||||||
\(182\) | 3.33006 | − | 0.394495i | 0.246840 | − | 0.0292419i | ||||
\(183\) | −16.6128 | − | 6.32234i | −1.22806 | − | 0.467361i | ||||
\(184\) | 49.9945 | − | 46.3881i | 3.68564 | − | 3.41978i | ||||
\(185\) | 7.49159 | + | 9.39416i | 0.550793 | + | 0.690672i | ||||
\(186\) | 3.36597 | + | 39.4323i | 0.246805 | + | 2.89131i | ||||
\(187\) | 0.626210 | + | 0.499386i | 0.0457930 | + | 0.0365187i | ||||
\(188\) | 43.8006 | − | 21.0933i | 3.19449 | − | 1.53838i | ||||
\(189\) | −8.56490 | − | 10.7537i | −0.623005 | − | 0.782218i | ||||
\(190\) | 16.9985 | + | 8.18604i | 1.23320 | + | 0.593878i | ||||
\(191\) | 3.51703 | + | 7.30319i | 0.254483 | + | 0.528440i | 0.988597 | − | 0.150587i | \(-0.0481163\pi\) |
−0.734114 | + | 0.679027i | \(0.762402\pi\) | |||||||
\(192\) | 59.3000 | − | 18.9663i | 4.27961 | − | 1.36877i | ||||
\(193\) | −0.674639 | + | 0.324889i | −0.0485616 | + | 0.0233860i | −0.458007 | − | 0.888949i | \(-0.651437\pi\) |
0.409445 | + | 0.912335i | \(0.365722\pi\) | |||||||
\(194\) | 8.50958 | − | 21.6821i | 0.610952 | − | 1.55668i | ||||
\(195\) | 0.970039 | − | 0.573526i | 0.0694660 | − | 0.0410711i | ||||
\(196\) | −39.1474 | − | 2.48405i | −2.79624 | − | 0.177432i | ||||
\(197\) | − | 9.13559i | − | 0.650884i | −0.945562 | − | 0.325442i | \(-0.894487\pi\) | ||
0.945562 | − | 0.325442i | \(-0.105513\pi\) | |||||||
\(198\) | 0.949110 | − | 2.57378i | 0.0674503 | − | 0.182911i | ||||
\(199\) | 5.85864 | − | 8.59305i | 0.415308 | − | 0.609145i | −0.560400 | − | 0.828222i | \(-0.689352\pi\) |
0.975707 | + | 0.219078i | \(0.0703048\pi\) | |||||||
\(200\) | 20.2525 | − | 21.8270i | 1.43207 | − | 1.54340i | ||||
\(201\) | 21.1470 | + | 14.0993i | 1.49159 | + | 0.994486i | ||||
\(202\) | 15.7463 | + | 23.0955i | 1.10790 | + | 1.62499i | ||||
\(203\) | −5.56222 | + | 0.239967i | −0.390392 | + | 0.0168424i | ||||
\(204\) | −1.50978 | + | 23.3948i | −0.105705 | + | 1.63797i | ||||
\(205\) | 1.18496 | − | 1.48590i | 0.0827615 | − | 0.103780i | ||||
\(206\) | 1.18826 | + | 15.8562i | 0.0827901 | + | 1.10476i | ||||
\(207\) | 15.8281 | − | 13.1678i | 1.10013 | − | 0.915227i | ||||
\(208\) | −2.19402 | + | 7.11285i | −0.152128 | + | 0.493188i | ||||
\(209\) | −0.585596 | + | 1.49207i | −0.0405065 | + | 0.103209i | ||||
\(210\) | −16.7860 | + | 6.17819i | −1.15834 | + | 0.426335i | ||||
\(211\) | −6.03274 | − | 15.3712i | −0.415311 | − | 1.05820i | −0.973542 | − | 0.228509i | \(-0.926615\pi\) |
0.558231 | − | 0.829686i | \(-0.311480\pi\) | |||||||
\(212\) | −52.3400 | + | 3.92234i | −3.59472 | + | 0.269387i | ||||
\(213\) | 8.37931 | + | 8.84527i | 0.574141 | + | 0.606068i | ||||
\(214\) | −0.736610 | + | 1.27585i | −0.0503536 | + | 0.0872150i | ||||
\(215\) | −4.43993 | + | 7.69018i | −0.302800 | + | 0.524466i | ||||
\(216\) | 49.9598 | − | 13.0480i | 3.39933 | − | 0.887802i | ||||
\(217\) | 16.6986 | + | 14.2050i | 1.13357 | + | 0.964298i | ||||
\(218\) | −10.0727 | − | 32.6549i | −0.682209 | − | 2.21167i | ||||
\(219\) | −6.82476 | + | 7.50982i | −0.461175 | + | 0.507467i | ||||
\(220\) | −2.05648 | − | 1.63999i | −0.138648 | − | 0.110568i | ||||
\(221\) | −0.867985 | − | 0.692195i | −0.0583870 | − | 0.0465621i | ||||
\(222\) | −39.6171 | − | 8.61176i | −2.65893 | − | 0.577984i | ||||
\(223\) | 3.17181 | + | 10.2827i | 0.212400 | + | 0.688583i | 0.997594 | + | 0.0693332i | \(0.0220872\pi\) |
−0.785194 | + | 0.619250i | \(0.787437\pi\) | |||||||
\(224\) | 30.3048 | − | 58.1414i | 2.02482 | − | 3.88473i | ||||
\(225\) | 6.46143 | − | 6.24926i | 0.430762 | − | 0.416617i | ||||
\(226\) | 10.9623 | − | 18.9873i | 0.729202 | − | 1.26301i | ||||
\(227\) | −8.81639 | + | 15.2704i | −0.585165 | + | 1.01353i | 0.409690 | + | 0.912225i | \(0.365637\pi\) |
−0.994855 | + | 0.101310i | \(0.967697\pi\) | |||||||
\(228\) | −45.6286 | + | 10.9127i | −3.02182 | + | 0.722711i | ||||
\(229\) | 10.7275 | − | 0.803911i | 0.708890 | − | 0.0531240i | 0.284595 | − | 0.958648i | \(-0.408141\pi\) |
0.424295 | + | 0.905524i | \(0.360522\pi\) | |||||||
\(230\) | −9.78686 | − | 24.9365i | −0.645326 | − | 1.64426i | ||||
\(231\) | −0.629984 | − | 1.38287i | −0.0414499 | − | 0.0909864i | ||||
\(232\) | 7.63956 | − | 19.4653i | 0.501562 | − | 1.27796i | ||||
\(233\) | −0.868503 | + | 2.81562i | −0.0568975 | + | 0.184457i | −0.979560 | − | 0.201150i | \(-0.935532\pi\) |
0.922663 | + | 0.385608i | \(0.126008\pi\) | |||||||
\(234\) | −1.31556 | + | 3.56750i | −0.0860005 | + | 0.233215i | ||||
\(235\) | −0.917695 | − | 12.2458i | −0.0598639 | − | 0.798828i | ||||
\(236\) | −33.2244 | + | 41.6621i | −2.16273 | + | 2.71197i | ||||
\(237\) | −1.07917 | − | 0.719513i | −0.0700998 | − | 0.0467374i | ||||
\(238\) | 11.5705 | + | 13.2908i | 0.750006 | + | 0.861514i | ||||
\(239\) | 0.0477370 | + | 0.0700173i | 0.00308785 | + | 0.00452904i | 0.827780 | − | 0.561053i | \(-0.189604\pi\) |
−0.824692 | + | 0.565582i | \(0.808651\pi\) | |||||||
\(240\) | 2.55697 | − | 39.6217i | 0.165052 | − | 2.55757i | ||||
\(241\) | 7.24908 | − | 7.81265i | 0.466954 | − | 0.503257i | −0.455034 | − | 0.890474i | \(-0.650373\pi\) |
0.921989 | + | 0.387217i | \(0.126564\pi\) | |||||||
\(242\) | −16.9160 | + | 24.8112i | −1.08740 | + | 1.59493i | ||||
\(243\) | 15.2735 | − | 3.11792i | 0.979793 | − | 0.200014i | ||||
\(244\) | − | 57.5085i | − | 3.68161i | ||||||
\(245\) | −4.19681 | + | 8.97582i | −0.268125 | + | 0.573444i | ||||
\(246\) | 0.0663996 | + | 6.41234i | 0.00423348 | + | 0.408836i | ||||
\(247\) | 0.811691 | − | 2.06815i | 0.0516466 | − | 0.131593i | ||||
\(248\) | −74.1875 | + | 35.7268i | −4.71091 | + | 2.26865i | ||||
\(249\) | 2.62995 | + | 2.39004i | 0.166666 | + | 0.151463i | ||||
\(250\) | −13.5422 | − | 28.1207i | −0.856484 | − | 1.77851i | ||||
\(251\) | −3.39351 | − | 1.63423i | −0.214197 | − | 0.103152i | 0.323709 | − | 0.946157i | \(-0.395070\pi\) |
−0.537906 | + | 0.843005i | \(0.680784\pi\) | |||||||
\(252\) | 22.6606 | − | 38.2729i | 1.42748 | − | 2.41097i | ||||
\(253\) | 2.05047 | − | 0.987454i | 0.128912 | − | 0.0620807i | ||||
\(254\) | −32.1287 | − | 25.6218i | −2.01594 | − | 1.60766i | ||||
\(255\) | 5.36169 | + | 2.51400i | 0.335762 | + | 0.157433i | ||||
\(256\) | 40.3773 | + | 50.6316i | 2.52358 | + | 3.16447i | ||||
\(257\) | 15.6041 | − | 14.4785i | 0.973356 | − | 0.903142i | −0.0219660 | − | 0.999759i | \(-0.506993\pi\) |
0.995322 | + | 0.0966166i | \(0.0308021\pi\) | |||||||
\(258\) | −4.77213 | − | 29.5794i | −0.297100 | − | 1.84154i | ||||
\(259\) | −18.9477 | + | 12.0572i | −1.17735 | + | 0.749198i | ||||
\(260\) | 2.85047 | + | 2.27317i | 0.176779 | + | 0.140976i | ||||
\(261\) | 2.62067 | − | 5.74317i | 0.162215 | − | 0.355493i | ||||
\(262\) | −6.07386 | − | 6.54607i | −0.375244 | − | 0.404417i | ||||
\(263\) | 2.87134 | + | 1.65777i | 0.177054 | + | 0.102222i | 0.585908 | − | 0.810378i | \(-0.300738\pi\) |
−0.408854 | + | 0.912600i | \(0.634071\pi\) | |||||||
\(264\) | 5.70725 | − | 0.0590984i | 0.351257 | − | 0.00363726i | ||||
\(265\) | −3.90790 | + | 12.6691i | −0.240061 | + | 0.778257i | ||||
\(266\) | −18.5909 | + | 29.9662i | −1.13988 | + | 1.83734i | ||||
\(267\) | −4.03998 | + | 18.5853i | −0.247243 | + | 1.13740i | ||||
\(268\) | −18.2978 | + | 80.1680i | −1.11772 | + | 4.89704i | ||||
\(269\) | −22.3552 | − | 3.36950i | −1.36302 | − | 0.205442i | −0.573520 | − | 0.819192i | \(-0.694422\pi\) |
−0.789501 | + | 0.613749i | \(0.789661\pi\) | |||||||
\(270\) | 2.39849 | − | 20.1394i | 0.145967 | − | 1.22565i | ||||
\(271\) | −2.73339 | + | 2.94589i | −0.166042 | + | 0.178950i | −0.810592 | − | 0.585612i | \(-0.800854\pi\) |
0.644550 | + | 0.764562i | \(0.277045\pi\) | |||||||
\(272\) | −37.3777 | + | 11.5295i | −2.26636 | + | 0.699078i | ||||
\(273\) | 0.873216 | + | 1.91679i | 0.0528495 | + | 0.116009i | ||||
\(274\) | 16.4191 | + | 5.06463i | 0.991915 | + | 0.305965i | ||||
\(275\) | 0.860492 | − | 0.496805i | 0.0518896 | − | 0.0299585i | ||||
\(276\) | 58.0304 | + | 32.7074i | 3.49302 | + | 1.96875i | ||||
\(277\) | −14.0146 | − | 4.32295i | −0.842059 | − | 0.259741i | −0.156427 | − | 0.987689i | \(-0.549998\pi\) |
−0.685631 | + | 0.727949i | \(0.740474\pi\) | |||||||
\(278\) | 28.3832 | − | 19.3513i | 1.70231 | − | 1.16062i | ||||
\(279\) | −22.9471 | + | 9.55907i | −1.37381 | + | 0.572287i | ||||
\(280\) | −24.4362 | − | 28.0692i | −1.46034 | − | 1.67746i | ||||
\(281\) | 18.9609 | + | 7.44161i | 1.13111 | + | 0.443929i | 0.855739 | − | 0.517408i | \(-0.173103\pi\) |
0.275375 | + | 0.961337i | \(0.411198\pi\) | |||||||
\(282\) | 28.4959 | + | 30.0805i | 1.69691 | + | 1.79127i | ||||
\(283\) | −11.9502 | + | 9.52998i | −0.710366 | + | 0.566498i | −0.910619 | − | 0.413246i | \(-0.864395\pi\) |
0.200253 | + | 0.979744i | \(0.435824\pi\) | |||||||
\(284\) | −17.1034 | + | 35.5156i | −1.01490 | + | 2.10746i | ||||
\(285\) | −1.64484 | + | 11.7361i | −0.0974318 | + | 0.695186i | ||||
\(286\) | −0.236759 | + | 0.347262i | −0.0139999 | + | 0.0205340i | ||||
\(287\) | 2.52620 | + | 2.49749i | 0.149117 | + | 0.147422i | ||||
\(288\) | 43.1425 | + | 60.5455i | 2.54219 | + | 3.56768i | ||||
\(289\) | −0.834435 | + | 11.1348i | −0.0490844 | + | 0.654986i | ||||
\(290\) | −6.02091 | − | 5.58658i | −0.353560 | − | 0.328056i | ||||
\(291\) | 14.6000 | + | 0.942208i | 0.855870 | + | 0.0552332i | ||||
\(292\) | −30.5614 | − | 11.9945i | −1.78847 | − | 0.701923i | ||||
\(293\) | 5.22685 | − | 9.05317i | 0.305356 | − | 0.528892i | −0.671985 | − | 0.740565i | \(-0.734558\pi\) |
0.977340 | + | 0.211673i | \(0.0678913\pi\) | |||||||
\(294\) | −8.14776 | − | 32.4247i | −0.475187 | − | 1.89105i | ||||
\(295\) | 6.73024 | + | 11.6571i | 0.391850 | + | 0.678704i | ||||
\(296\) | −12.5722 | − | 83.4109i | −0.730743 | − | 4.84816i | ||||
\(297\) | 1.72143 | + | 0.0753365i | 0.0998875 | + | 0.00437147i | ||||
\(298\) | 5.86036 | − | 1.80768i | 0.339482 | − | 0.104716i | ||||
\(299\) | −2.84214 | + | 1.36870i | −0.164365 | + | 0.0791542i | ||||
\(300\) | 26.3317 | + | 12.3464i | 1.52026 | + | 0.712822i | ||||
\(301\) | −13.4105 | − | 9.77948i | −0.772967 | − | 0.563680i | ||||
\(302\) | 14.5659 | + | 1.09156i | 0.838172 | + | 0.0628123i | ||||
\(303\) | −10.8044 | + | 13.8398i | −0.620694 | + | 0.795077i | ||||
\(304\) | −44.0958 | − | 64.6766i | −2.52906 | − | 3.70946i | ||||
\(305\) | −13.5225 | − | 5.30717i | −0.774293 | − | 0.303888i | ||||
\(306\) | −19.3839 | + | 4.84864i | −1.10810 | + | 0.277178i | ||||
\(307\) | −20.3957 | + | 16.2650i | −1.16405 | + | 0.928295i | −0.998324 | − | 0.0578773i | \(-0.981567\pi\) |
−0.165722 | + | 0.986173i | \(0.552995\pi\) | |||||||
\(308\) | 3.45651 | − | 3.49625i | 0.196953 | − | 0.199217i | ||||
\(309\) | −9.25896 | + | 3.74497i | −0.526724 | + | 0.213044i | ||||
\(310\) | 2.41698 | + | 32.2524i | 0.137275 | + | 1.83181i | ||||
\(311\) | −2.71546 | − | 11.8972i | −0.153980 | − | 0.674629i | −0.991705 | − | 0.128537i | \(-0.958972\pi\) |
0.837725 | − | 0.546092i | \(-0.183885\pi\) | |||||||
\(312\) | −7.91078 | + | 0.0819159i | −0.447860 | + | 0.00463758i | ||||
\(313\) | − | 15.6580i | − | 0.885045i | −0.896757 | − | 0.442522i | \(-0.854084\pi\) | ||
0.896757 | − | 0.442522i | \(-0.145916\pi\) | |||||||
\(314\) | 5.18895 | + | 22.7343i | 0.292829 | + | 1.28297i | ||||
\(315\) | −6.90820 | − | 8.86038i | −0.389233 | − | 0.499226i | ||||
\(316\) | 0.933773 | − | 4.09112i | 0.0525288 | − | 0.230144i | ||||
\(317\) | 9.40866 | + | 2.14747i | 0.528443 | + | 0.120614i | 0.478415 | − | 0.878134i | \(-0.341212\pi\) |
0.0500286 | + | 0.998748i | \(0.484069\pi\) | |||||||
\(318\) | −16.7738 | − | 41.4710i | −0.940627 | − | 2.32558i | ||||
\(319\) | 0.435066 | − | 0.545556i | 0.0243590 | − | 0.0305453i | ||||
\(320\) | 48.6203 | − | 14.9974i | 2.71796 | − | 0.838378i | ||||
\(321\) | −0.904251 | − | 0.196561i | −0.0504704 | − | 0.0109710i | ||||
\(322\) | 48.2897 | − | 13.2355i | 2.69108 | − | 0.737583i | ||||
\(323\) | 11.3824 | − | 2.59796i | 0.633333 | − | 0.144554i | ||||
\(324\) | 27.0037 | + | 42.5952i | 1.50021 | + | 2.36640i | ||||
\(325\) | −1.19272 | + | 0.688618i | −0.0661603 | + | 0.0381977i | ||||
\(326\) | −4.57566 | + | 14.8339i | −0.253423 | + | 0.821576i | ||||
\(327\) | 17.6091 | − | 12.2747i | 0.973784 | − | 0.678791i | ||||
\(328\) | −12.4200 | + | 4.87451i | −0.685782 | + | 0.269150i | ||||
\(329\) | 22.9416 | + | 0.727133i | 1.26481 | + | 0.0400882i | ||||
\(330\) | 0.797389 | − | 2.09525i | 0.0438948 | − | 0.115340i | ||||
\(331\) | −2.75634 | − | 12.0763i | −0.151502 | − | 0.663774i | −0.992449 | − | 0.122656i | \(-0.960859\pi\) |
0.840947 | − | 0.541117i | \(-0.181998\pi\) | |||||||
\(332\) | −4.20048 | + | 10.7026i | −0.230531 | + | 0.587384i | ||||
\(333\) | −2.42851 | − | 25.3496i | −0.133081 | − | 1.38915i | ||||
\(334\) | −43.2609 | + | 16.9786i | −2.36713 | + | 0.929030i | ||||
\(335\) | 17.1619 | + | 11.7008i | 0.937657 | + | 0.639284i | ||||
\(336\) | 73.1306 | + | 12.6233i | 3.98960 | + | 0.688660i | ||||
\(337\) | 21.3085 | − | 14.5279i | 1.16075 | − | 0.791384i | 0.179428 | − | 0.983771i | \(-0.442575\pi\) |
0.981319 | + | 0.192387i | \(0.0616229\pi\) | |||||||
\(338\) | −19.8654 | + | 29.1371i | −1.08053 | + | 1.58485i | ||||
\(339\) | 13.4572 | + | 2.92525i | 0.730893 | + | 0.158878i | ||||
\(340\) | −1.43175 | + | 19.1054i | −0.0776476 | + | 1.03614i | ||||
\(341\) | −2.71706 | + | 0.409531i | −0.147137 | + | 0.0221773i | ||||
\(342\) | −20.7060 | − | 34.2077i | −1.11965 | − | 1.84974i | ||||
\(343\) | −15.8482 | − | 9.58305i | −0.855722 | − | 0.517436i | ||||
\(344\) | 53.9874 | − | 31.1697i | 2.91081 | − | 1.68056i | ||||
\(345\) | 13.0461 | − | 10.6268i | 0.702378 | − | 0.572125i | ||||
\(346\) | 18.7268 | + | 38.8866i | 1.00676 | + | 2.09056i | ||||
\(347\) | −6.11052 | − | 1.39469i | −0.328030 | − | 0.0748706i | 0.0553346 | − | 0.998468i | \(-0.482377\pi\) |
−0.383364 | + | 0.923597i | \(0.625235\pi\) | |||||||
\(348\) | 20.3816 | + | 1.31532i | 1.09257 | + | 0.0705086i | ||||
\(349\) | −2.04010 | + | 0.152885i | −0.109204 | + | 0.00818372i | −0.129220 | − | 0.991616i | \(-0.541247\pi\) |
0.0200159 | + | 0.999800i | \(0.493628\pi\) | |||||||
\(350\) | 20.5920 | − | 7.33781i | 1.10069 | − | 0.392222i | ||||
\(351\) | −2.38606 | − | 0.104423i | −0.127359 | − | 0.00557371i | ||||
\(352\) | 3.00224 | + | 7.64959i | 0.160020 | + | 0.407724i | ||||
\(353\) | 29.7531 | − | 20.2853i | 1.58360 | − | 1.07968i | 0.630856 | − | 0.775900i | \(-0.282704\pi\) |
0.952742 | − | 0.303780i | \(-0.0982487\pi\) | |||||||
\(354\) | −42.4476 | − | 16.1543i | −2.25607 | − | 0.858590i | ||||
\(355\) | 6.77269 | + | 7.29922i | 0.359457 | + | 0.387403i | ||||
\(356\) | −60.8464 | + | 9.17112i | −3.22485 | + | 0.486069i | ||||
\(357\) | −5.73750 | + | 9.46549i | −0.303661 | + | 0.500967i | ||||
\(358\) | −42.1279 | − | 6.34976i | −2.22653 | − | 0.335595i | ||||
\(359\) | 19.2645 | + | 28.2558i | 1.01674 | + | 1.49129i | 0.864302 | + | 0.502974i | \(0.167761\pi\) |
0.152440 | + | 0.988313i | \(0.451287\pi\) | |||||||
\(360\) | 40.9373 | − | 10.2400i | 2.15759 | − | 0.539695i | ||||
\(361\) | 2.18217 | + | 3.77963i | 0.114851 | + | 0.198928i | ||||
\(362\) | −31.7820 | −1.67042 | ||||||||
\(363\) | −18.0807 | − | 5.37277i | −0.948991 | − | 0.281997i | ||||
\(364\) | −4.79105 | + | 4.84613i | −0.251119 | + | 0.254006i | ||||
\(365\) | −5.64072 | + | 6.07925i | −0.295249 | + | 0.318202i | ||||
\(366\) | 46.6852 | − | 14.9316i | 2.44028 | − | 0.780488i | ||||
\(367\) | 13.6569 | − | 5.35995i | 0.712886 | − | 0.279787i | 0.0189465 | − | 0.999820i | \(-0.493969\pi\) |
0.693939 | + | 0.720033i | \(0.255874\pi\) | |||||||
\(368\) | −16.5651 | + | 109.903i | −0.863518 | + | 5.72906i | ||||
\(369\) | −3.82361 | + | 1.26672i | −0.199049 | + | 0.0659426i | ||||
\(370\) | −32.3021 | − | 7.37274i | −1.67931 | − | 0.383291i | ||||
\(371\) | −22.7697 | − | 9.77979i | −1.18214 | − | 0.507741i | ||||
\(372\) | −55.3106 | − | 58.3863i | −2.86772 | − | 3.02719i | ||||
\(373\) | −11.4104 | − | 19.7634i | −0.590810 | − | 1.02331i | −0.994124 | − | 0.108251i | \(-0.965475\pi\) |
0.403314 | − | 0.915062i | \(-0.367858\pi\) | |||||||
\(374\) | −2.20862 | −0.114205 | ||||||||
\(375\) | 14.2325 | − | 13.4828i | 0.734964 | − | 0.696247i | ||||
\(376\) | −37.4053 | + | 77.6728i | −1.92903 | + | 4.00567i | ||||
\(377\) | −0.603042 | + | 0.756191i | −0.0310583 | + | 0.0389458i | ||||
\(378\) | 36.9535 | + | 8.45852i | 1.90068 | + | 0.435059i | ||||
\(379\) | −4.17213 | − | 5.23168i | −0.214308 | − | 0.268733i | 0.663045 | − | 0.748580i | \(-0.269264\pi\) |
−0.877353 | + | 0.479846i | \(0.840692\pi\) | |||||||
\(380\) | −37.3798 | + | 8.53170i | −1.91754 | + | 0.437667i | ||||
\(381\) | 9.18101 | − | 24.1244i | 0.470357 | − | 1.23593i | ||||
\(382\) | −20.1384 | − | 9.69816i | −1.03037 | − | 0.496201i | ||||
\(383\) | 13.0409 | + | 1.96559i | 0.666357 | + | 0.100437i | 0.473506 | − | 0.880791i | \(-0.342988\pi\) |
0.192852 | + | 0.981228i | \(0.438226\pi\) | |||||||
\(384\) | −47.6151 | + | 71.4163i | −2.42985 | + | 3.64445i | ||||
\(385\) | −0.503118 | − | 1.13541i | −0.0256413 | − | 0.0578658i | ||||
\(386\) | 0.895877 | − | 1.86031i | 0.0455990 | − | 0.0946872i | ||||
\(387\) | 16.7834 | − | 8.51501i | 0.853148 | − | 0.432842i | ||||
\(388\) | 13.9520 | + | 45.2312i | 0.708304 | + | 2.29626i | ||||
\(389\) | 23.1828 | + | 1.73731i | 1.17542 | + | 0.0880852i | 0.648080 | − | 0.761572i | \(-0.275572\pi\) |
0.527335 | + | 0.849657i | \(0.323191\pi\) | |||||||
\(390\) | −1.10526 | + | 2.90421i | −0.0559668 | + | 0.147061i | ||||
\(391\) | −14.3561 | − | 8.28848i | −0.726018 | − | 0.419166i | ||||
\(392\) | 57.0222 | − | 39.8394i | 2.88005 | − | 2.01219i | ||||
\(393\) | 2.75410 | − | 4.88640i | 0.138926 | − | 0.246486i | ||||
\(394\) | 15.7065 | + | 19.6953i | 0.791282 | + | 0.992237i | ||||
\(395\) | −0.875807 | − | 0.597115i | −0.0440666 | − | 0.0300441i | ||||
\(396\) | 1.75313 | + | 5.29187i | 0.0880982 | + | 0.265926i | ||||
\(397\) | −9.83076 | − | 0.736713i | −0.493392 | − | 0.0369746i | −0.174289 | − | 0.984695i | \(-0.555763\pi\) |
−0.319103 | + | 0.947720i | \(0.603382\pi\) | |||||||
\(398\) | 2.14314 | + | 28.5982i | 0.107426 | + | 1.43350i | ||||
\(399\) | −21.4852 | − | 5.38845i | −1.07561 | − | 0.269760i | ||||
\(400\) | −3.62622 | + | 48.3885i | −0.181311 | + | 2.41942i | ||||
\(401\) | 2.17489 | − | 14.4295i | 0.108609 | − | 0.720573i | −0.866554 | − | 0.499084i | \(-0.833670\pi\) |
0.975163 | − | 0.221490i | \(-0.0710919\pi\) | |||||||
\(402\) | −69.8310 | + | 5.96084i | −3.48285 | + | 0.297299i | ||||
\(403\) | 3.76610 | − | 0.567648i | 0.187603 | − | 0.0282765i | ||||
\(404\) | −54.2813 | − | 16.7436i | −2.70059 | − | 0.833023i | ||||
\(405\) | 12.5078 | − | 2.41871i | 0.621518 | − | 0.120186i | ||||
\(406\) | 11.5790 | − | 10.0803i | 0.574655 | − | 0.500276i | ||||
\(407\) | 0.419533 | − | 2.78342i | 0.0207955 | − | 0.137969i | ||||
\(408\) | −23.7733 | − | 34.1049i | −1.17695 | − | 1.68844i | ||||
\(409\) | −33.4231 | + | 7.62861i | −1.65267 | + | 0.377211i | −0.944417 | − | 0.328751i | \(-0.893372\pi\) |
−0.708250 | + | 0.705961i | \(0.750515\pi\) | |||||||
\(410\) | 5.24070i | 0.258820i | ||||||||
\(411\) | 0.111753 | + | 10.7922i | 0.00551236 | + | 0.532340i | ||||
\(412\) | −21.9786 | − | 23.6873i | −1.08281 | − | 1.16699i | ||||
\(413\) | −23.0022 | + | 10.1927i | −1.13187 | + | 0.501548i | ||||
\(414\) | −11.4847 | + | 55.6011i | −0.564441 | + | 2.73264i | ||||
\(415\) | 2.12896 | + | 1.97539i | 0.104506 | + | 0.0969678i | ||||
\(416\) | −4.16139 | − | 10.6030i | −0.204029 | − | 0.519857i | ||||
\(417\) | 17.0084 | + | 13.2780i | 0.832906 | + | 0.650226i | ||||
\(418\) | −1.30279 | − | 4.22354i | −0.0637216 | − | 0.206580i | ||||
\(419\) | −6.45995 | − | 5.99396i | −0.315589 | − | 0.292824i | 0.506433 | − | 0.862279i | \(-0.330964\pi\) |
−0.822022 | + | 0.569455i | \(0.807154\pi\) | |||||||
\(420\) | 18.8420 | − | 31.0847i | 0.919395 | − | 1.51678i | ||||
\(421\) | −11.4137 | + | 10.5904i | −0.556270 | + | 0.516143i | −0.907447 | − | 0.420166i | \(-0.861972\pi\) |
0.351177 | + | 0.936309i | \(0.385781\pi\) | |||||||
\(422\) | 39.4331 | + | 22.7667i | 1.91957 | + | 1.10826i | ||||
\(423\) | −12.5437 | + | 22.8042i | −0.609894 | + | 1.10878i | ||||
\(424\) | 68.2297 | − | 63.3079i | 3.31353 | − | 3.07450i | ||||
\(425\) | −6.52059 | − | 3.14015i | −0.316295 | − | 0.152320i | ||||
\(426\) | −33.2722 | − | 4.66317i | −1.61204 | − | 0.225931i | ||||
\(427\) | 12.5499 | − | 24.0777i | 0.607333 | − | 1.16520i | ||||
\(428\) | −0.446212 | − | 2.96042i | −0.0215685 | − | 0.143097i | ||||
\(429\) | −0.253060 | − | 0.0751982i | −0.0122179 | − | 0.00363060i | ||||
\(430\) | −3.64946 | − | 24.2126i | −0.175993 | − | 1.16764i | ||||
\(431\) | 34.3903 | − | 2.57719i | 1.65652 | − | 0.124139i | 0.786643 | − | 0.617408i | \(-0.211817\pi\) |
0.869877 | + | 0.493269i | \(0.164198\pi\) | |||||||
\(432\) | −50.3971 | + | 67.3878i | −2.42473 | + | 3.24220i | ||||
\(433\) | 6.96169 | + | 14.4561i | 0.334557 | + | 0.694715i | 0.998595 | − | 0.0529834i | \(-0.0168730\pi\) |
−0.664038 | + | 0.747699i | \(0.731159\pi\) | |||||||
\(434\) | −60.4225 | − | 1.91509i | −2.90037 | − | 0.0919272i | ||||
\(435\) | 2.19020 | − | 4.67112i | 0.105012 | − | 0.223963i | ||||
\(436\) | 57.3791 | + | 39.1204i | 2.74796 | + | 1.87353i | ||||
\(437\) | 7.38191 | − | 32.3422i | 0.353124 | − | 1.54714i | ||||
\(438\) | 1.80206 | − | 27.9239i | 0.0861057 | − | 1.33426i | ||||
\(439\) | 30.3345 | − | 24.1910i | 1.44779 | − | 1.15457i | 0.488350 | − | 0.872648i | \(-0.337599\pi\) |
0.959437 | − | 0.281923i | \(-0.0909724\pi\) | |||||||
\(440\) | 4.66444 | 0.222369 | ||||||||
\(441\) | 17.8397 | − | 11.0790i | 0.849511 | − | 0.527571i | ||||
\(442\) | 3.06135 | 0.145614 | ||||||||
\(443\) | −23.6854 | + | 18.8885i | −1.12533 | + | 0.897418i | −0.995560 | − | 0.0941264i | \(-0.969994\pi\) |
−0.129767 | + | 0.991545i | \(0.541423\pi\) | |||||||
\(444\) | 73.8564 | − | 36.5142i | 3.50507 | − | 1.73289i | ||||
\(445\) | −3.45873 | + | 15.1537i | −0.163960 | + | 0.718354i | ||||
\(446\) | −24.5168 | − | 16.7153i | −1.16091 | − | 0.791492i | ||||
\(447\) | 2.20286 | + | 3.16019i | 0.104192 | + | 0.149472i | ||||
\(448\) | 18.2145 | + | 93.3420i | 0.860553 | + | 4.41000i | ||||
\(449\) | −14.5344 | − | 30.1810i | −0.685921 | − | 1.42433i | −0.894836 | − | 0.446396i | \(-0.852707\pi\) |
0.208914 | − | 0.977934i | \(-0.433007\pi\) | |||||||
\(450\) | −3.18600 | + | 24.5816i | −0.150189 | + | 1.15879i | ||||
\(451\) | −0.443989 | + | 0.0332724i | −0.0209066 | + | 0.00156674i | ||||
\(452\) | 6.64057 | + | 44.0573i | 0.312346 | + | 2.07228i | ||||
\(453\) | 2.13411 | + | 8.92322i | 0.100269 | + | 0.419249i | ||||
\(454\) | −7.24676 | − | 48.0791i | −0.340107 | − | 2.25646i | ||||
\(455\) | 0.697369 | + | 1.57378i | 0.0326932 | + | 0.0737801i | ||||
\(456\) | 51.1958 | − | 65.5791i | 2.39746 | − | 3.07102i | ||||
\(457\) | −32.0185 | − | 15.4193i | −1.49776 | − | 0.721285i | −0.507651 | − | 0.861563i | \(-0.669486\pi\) |
−0.990112 | + | 0.140278i | \(0.955200\pi\) | |||||||
\(458\) | −21.7451 | + | 20.1765i | −1.01608 | + | 0.942785i | ||||
\(459\) | −6.60988 | − | 10.6690i | −0.308523 | − | 0.497987i | ||||
\(460\) | 47.1454 | + | 27.2194i | 2.19817 | + | 1.26911i | ||||
\(461\) | −12.2022 | + | 11.3220i | −0.568312 | + | 0.527316i | −0.911148 | − | 0.412079i | \(-0.864803\pi\) |
0.342836 | + | 0.939395i | \(0.388612\pi\) | |||||||
\(462\) | 3.73570 | + | 1.89821i | 0.173801 | + | 0.0883129i | ||||
\(463\) | 9.66376 | + | 8.96666i | 0.449113 | + | 0.416716i | 0.872030 | − | 0.489452i | \(-0.162803\pi\) |
−0.422917 | + | 0.906168i | \(0.638994\pi\) | |||||||
\(464\) | 10.0445 | + | 32.5636i | 0.466305 | + | 1.51173i | ||||
\(465\) | −18.8332 | + | 7.61746i | −0.873369 | + | 0.353251i | ||||
\(466\) | −2.96840 | − | 7.56335i | −0.137508 | − | 0.350365i | ||||
\(467\) | −15.1356 | − | 14.0438i | −0.700391 | − | 0.649868i | 0.247344 | − | 0.968928i | \(-0.420442\pi\) |
−0.947735 | + | 0.319060i | \(0.896633\pi\) | |||||||
\(468\) | −2.43000 | − | 7.33502i | −0.112327 | − | 0.339062i | ||||
\(469\) | −25.1558 | + | 29.5717i | −1.16159 | + | 1.36550i | ||||
\(470\) | 23.0322 | + | 24.8228i | 1.06240 | + | 1.14499i | ||||
\(471\) | −12.6084 | + | 7.45457i | −0.580963 | + | 0.343488i | ||||
\(472\) | − | 94.4968i | − | 4.34957i | ||||||
\(473\) | 2.02811 | − | 0.462902i | 0.0932524 | − | 0.0212843i | ||||
\(474\) | 3.56361 | − | 0.304193i | 0.163682 | − | 0.0139720i | ||||
\(475\) | 2.15864 | − | 14.3216i | 0.0990450 | − | 0.657121i | ||||
\(476\) | −35.2237 | − | 6.45638i | −1.61448 | − | 0.295928i | ||||
\(477\) | 21.6013 | − | 17.9707i | 0.989055 | − | 0.822822i | ||||
\(478\) | −0.223294 | − | 0.0688771i | −0.0102132 | − | 0.00315037i | ||||
\(479\) | 32.6198 | − | 4.91664i | 1.49043 | − | 0.224647i | 0.647253 | − | 0.762275i | \(-0.275918\pi\) |
0.843182 | + | 0.537629i | \(0.180680\pi\) | |||||||
\(480\) | 34.7435 | + | 49.8426i | 1.58582 | + | 2.27499i | ||||
\(481\) | −0.581513 | + | 3.85808i | −0.0265147 | + | 0.175913i | ||||
\(482\) | −2.19620 | + | 29.3063i | −0.100034 | + | 1.33487i | ||||
\(483\) | 17.1586 | + | 26.3578i | 0.780741 | + | 1.19932i | ||||
\(484\) | −4.56040 | − | 60.8543i | −0.207291 | − | 2.76610i | ||||
\(485\) | 11.9231 | + | 0.893515i | 0.541402 | + | 0.0405724i | ||||
\(486\) | −27.5674 | + | 32.9810i | −1.25048 | + | 1.49605i | ||||
\(487\) | 3.64089 | + | 2.48231i | 0.164984 | + | 0.112484i | 0.642998 | − | 0.765868i | \(-0.277691\pi\) |
−0.478013 | + | 0.878353i | \(0.658643\pi\) | |||||||
\(488\) | 63.5844 | + | 79.7323i | 2.87833 | + | 3.60931i | ||||
\(489\) | −9.75027 | + | 0.100964i | −0.440922 | + | 0.00456574i | ||||
\(490\) | −6.38394 | − | 26.5663i | −0.288397 | − | 1.20014i | ||||
\(491\) | 20.4587 | + | 11.8118i | 0.923286 | + | 0.533059i | 0.884682 | − | 0.466195i | \(-0.154376\pi\) |
0.0386041 | + | 0.999255i | \(0.487709\pi\) | |||||||
\(492\) | −8.23025 | − | 10.1040i | −0.371048 | − | 0.455523i | ||||
\(493\) | −5.06840 | − | 0.379824i | −0.228269 | − | 0.0171064i | ||||
\(494\) | 1.80579 | + | 5.85422i | 0.0812463 | + | 0.263394i | ||||
\(495\) | 1.40611 | + | 0.0761315i | 0.0631999 | + | 0.00342186i | ||||
\(496\) | 58.2227 | − | 120.901i | 2.61428 | − | 5.42860i | ||||
\(497\) | −14.9113 | + | 11.1373i | −0.668865 | + | 0.499575i | ||||
\(498\) | −9.77899 | − | 0.631083i | −0.438207 | − | 0.0282795i | ||||
\(499\) | 26.6066 | + | 4.01030i | 1.19108 | + | 0.179526i | 0.714518 | − | 0.699617i | \(-0.246646\pi\) |
0.476558 | + | 0.879143i | \(0.341884\pi\) | |||||||
\(500\) | 57.1465 | + | 27.5203i | 2.55567 | + | 1.23075i | ||||
\(501\) | −18.4357 | − | 22.6329i | −0.823648 | − | 1.01116i | ||||
\(502\) | 10.1257 | − | 2.31113i | 0.451933 | − | 0.103151i | ||||
\(503\) | 9.50459 | + | 11.9184i | 0.423789 | + | 0.531414i | 0.947190 | − | 0.320672i | \(-0.103909\pi\) |
−0.523402 | + | 0.852086i | \(0.675337\pi\) | |||||||
\(504\) | 10.8990 | + | 78.1179i | 0.485478 | + | 3.47965i | ||||
\(505\) | −8.94640 | + | 11.2184i | −0.398109 | + | 0.499214i | ||||
\(506\) | −2.72289 | + | 5.65415i | −0.121047 | + | 0.251357i | ||||
\(507\) | −21.2331 | − | 6.30953i | −0.942996 | − | 0.280216i | ||||
\(508\) | 83.5112 | 3.70521 | ||||||||
\(509\) | 4.66278 | + | 8.07618i | 0.206674 | + | 0.357970i | 0.950665 | − | 0.310220i | \(-0.100403\pi\) |
−0.743991 | + | 0.668190i | \(0.767069\pi\) | |||||||
\(510\) | −15.8814 | + | 3.79827i | −0.703242 | + | 0.168190i | ||||
\(511\) | −10.1780 | − | 11.6912i | −0.450246 | − | 0.517187i | ||||
\(512\) | −77.4704 | − | 17.6821i | −3.42374 | − | 0.781447i | ||||
\(513\) | 16.5035 | − | 18.9334i | 0.728645 | − | 0.835930i | ||||
\(514\) | −8.74836 | + | 58.0415i | −0.385873 | + | 2.56010i | ||||
\(515\) | −7.59808 | + | 2.98203i | −0.334811 | + | 0.131404i | ||||
\(516\) | 45.0607 | + | 40.9502i | 1.98369 | + | 1.80273i | ||||
\(517\) | −1.95675 | + | 2.10887i | −0.0860577 | + | 0.0927481i | ||||
\(518\) | 20.1196 | − | 58.5701i | 0.884003 | − | 2.57342i | ||||
\(519\) | −19.6814 | + | 18.6446i | −0.863917 | + | 0.818407i | ||||
\(520\) | −6.46535 | −0.283525 | ||||||||
\(521\) | −2.34018 | − | 4.05331i | −0.102525 | − | 0.177579i | 0.810199 | − | 0.586155i | \(-0.199359\pi\) |
−0.912724 | + | 0.408576i | \(0.866026\pi\) | |||||||
\(522\) | 4.22415 | + | 16.8873i | 0.184886 | + | 0.739136i | ||||
\(523\) | 10.9443 | + | 16.0523i | 0.478561 | + | 0.701920i | 0.987276 | − | 0.159015i | \(-0.0508319\pi\) |
−0.508715 | + | 0.860935i | \(0.669879\pi\) | |||||||
\(524\) | 17.9445 | + | 2.70470i | 0.783910 | + | 0.118155i | ||||
\(525\) | 8.33024 | + | 10.9155i | 0.363562 | + | 0.476391i | ||||
\(526\) | −9.04043 | + | 1.36263i | −0.394181 | + | 0.0594133i | ||||
\(527\) | 13.6131 | + | 14.6714i | 0.592996 | + | 0.639098i | ||||
\(528\) | −7.21169 | + | 5.87431i | −0.313848 | + | 0.255647i | ||||
\(529\) | −19.9142 | + | 13.5773i | −0.865836 | + | 0.590317i | ||||
\(530\) | −13.3565 | − | 34.0319i | −0.580171 | − | 1.47825i | ||||
\(531\) | 1.54235 | − | 28.4863i | 0.0669321 | − | 1.23620i | ||||
\(532\) | −8.43076 | − | 71.1668i | −0.365520 | − | 3.08547i | ||||
\(533\) | 0.615410 | − | 0.0461186i | 0.0266564 | − | 0.00199762i | ||||
\(534\) | −23.2434 | − | 47.0138i | −1.00584 | − | 2.03448i | ||||
\(535\) | −0.737287 | − | 0.168281i | −0.0318757 | − | 0.00727542i | ||||
\(536\) | −63.2690 | − | 131.379i | −2.73280 | − | 5.67472i | ||||
\(537\) | −4.26223 | − | 26.4189i | −0.183929 | − | 1.14006i | ||||
\(538\) | 53.9884 | − | 31.1702i | 2.32761 | − | 1.34384i | ||||
\(539\) | 2.21015 | − | 0.709509i | 0.0951980 | − | 0.0305607i | ||||
\(540\) | 21.7069 | + | 35.0372i | 0.934115 | + | 1.50776i | ||||
\(541\) | 4.07946 | − | 0.614879i | 0.175390 | − | 0.0264357i | −0.0607602 | − | 0.998152i | \(-0.519353\pi\) |
0.236150 | + | 0.971717i | \(0.424114\pi\) | |||||||
\(542\) | 0.828117 | − | 11.0505i | 0.0355707 | − | 0.474658i | ||||
\(543\) | −6.08144 | − | 19.0143i | −0.260980 | − | 0.815980i | ||||
\(544\) | 33.7181 | − | 49.4554i | 1.44565 | − | 2.12038i | ||||
\(545\) | 14.4939 | − | 9.88180i | 0.620852 | − | 0.423290i | ||||
\(546\) | −5.17803 | − | 2.63110i | −0.221599 | − | 0.112601i | ||||
\(547\) | 0.0331290 | + | 0.0225870i | 0.00141649 | + | 0.000965750i | 0.564028 | − | 0.825756i | \(-0.309251\pi\) |
−0.562612 | + | 0.826721i | \(0.690203\pi\) | |||||||
\(548\) | −32.5043 | + | 12.7570i | −1.38852 | + | 0.544952i | ||||
\(549\) | 17.8663 | + | 25.0733i | 0.762515 | + | 1.07010i | ||||
\(550\) | −1.00099 | + | 2.55047i | −0.0426822 | + | 0.108752i | ||||
\(551\) | −2.26335 | − | 9.91637i | −0.0964218 | − | 0.422451i | ||||
\(552\) | −116.619 | + | 18.8144i | −4.96363 | + | 0.800794i | ||||
\(553\) | 1.28375 | − | 1.50910i | 0.0545905 | − | 0.0641735i | ||||
\(554\) | 37.6463 | − | 14.7751i | 1.59944 | − | 0.627734i | ||||
\(555\) | −1.77006 | − | 20.7362i | −0.0751348 | − | 0.880202i | ||||
\(556\) | −20.5770 | + | 66.7089i | −0.872657 | + | 2.82909i | ||||
\(557\) | 23.8400 | − | 13.7640i | 1.01013 | − | 0.583201i | 0.0989024 | − | 0.995097i | \(-0.468467\pi\) |
0.911231 | + | 0.411897i | \(0.135133\pi\) | |||||||
\(558\) | 33.0369 | − | 60.0605i | 1.39856 | − | 2.54256i | ||||
\(559\) | −2.81115 | + | 0.641626i | −0.118899 | + | 0.0271379i | ||||
\(560\) | 59.6552 | + | 10.9346i | 2.52089 | + | 0.462070i | ||||
\(561\) | −0.422616 | − | 1.32135i | −0.0178428 | − | 0.0557875i | ||||
\(562\) | −53.6718 | + | 16.5555i | −2.26401 | + | 0.698354i | ||||
\(563\) | 18.4434 | − | 23.1273i | 0.777298 | − | 0.974701i | −0.222702 | − | 0.974887i | \(-0.571488\pi\) |
1.00000 | 0.000185970i | \(5.91962e-5\pi\) | ||||||||
\(564\) | −83.3887 | − | 11.6871i | −3.51130 | − | 0.492115i | ||||
\(565\) | 10.9724 | + | 2.50438i | 0.461612 | + | 0.105360i | ||||
\(566\) | 9.37879 | − | 41.0912i | 0.394220 | − | 1.72719i | ||||
\(567\) | 2.01050 | + | 23.7267i | 0.0844332 | + | 0.996429i | ||||
\(568\) | −15.5550 | − | 68.1508i | −0.652672 | − | 2.85954i | ||||
\(569\) | − | 8.51947i | − | 0.357155i | −0.983926 | − | 0.178577i | \(-0.942850\pi\) | ||
0.983926 | − | 0.178577i | \(-0.0571495\pi\) | |||||||
\(570\) | −16.6314 | − | 28.1297i | −0.696612 | − | 1.17822i | ||||
\(571\) | 0.0878092 | + | 0.384717i | 0.00367470 | + | 0.0160999i | 0.976732 | − | 0.214463i | \(-0.0688003\pi\) |
−0.973057 | + | 0.230563i | \(0.925943\pi\) | |||||||
\(572\) | −0.0638280 | − | 0.851726i | −0.00266878 | − | 0.0356124i | ||||
\(573\) | 1.94867 | − | 13.9040i | 0.0814069 | − | 0.580847i | ||||
\(574\) | −9.74005 | − | 1.04110i | −0.406542 | − | 0.0434546i | ||||
\(575\) | −16.0778 | + | 12.8216i | −0.670492 | + | 0.534699i | ||||
\(576\) | −103.681 | − | 29.6446i | −4.32006 | − | 1.23519i | ||||
\(577\) | 21.0897 | + | 8.27708i | 0.877974 | + | 0.344579i | 0.761152 | − | 0.648574i | \(-0.224634\pi\) |
0.116822 | + | 0.993153i | \(0.462729\pi\) | |||||||
\(578\) | −17.3447 | − | 25.4399i | −0.721442 | − | 1.05816i | ||||
\(579\) | 1.28439 | + | 0.180010i | 0.0533776 | + | 0.00748098i | ||||
\(580\) | 16.6447 | + | 1.24735i | 0.691132 | + | 0.0517932i | ||||
\(581\) | −4.09426 | + | 3.56433i | −0.169859 | + | 0.147873i | ||||
\(582\) | −33.0960 | + | 23.0701i | −1.37187 | + | 0.956285i | ||||
\(583\) | 2.79837 | − | 1.34762i | 0.115896 | − | 0.0558128i | ||||
\(584\) | 55.6334 | − | 17.1606i | 2.30213 | − | 0.710112i | ||||
\(585\) | −1.94900 | − | 0.105525i | −0.0805811 | − | 0.00436294i | ||||
\(586\) | 4.29628 | + | 28.5040i | 0.177478 | + | 1.17749i | ||||
\(587\) | 6.46045 | + | 11.1898i | 0.266651 | + | 0.461854i | 0.967995 | − | 0.250970i | \(-0.0807494\pi\) |
−0.701344 | + | 0.712823i | \(0.747416\pi\) | |||||||
\(588\) | 54.0291 | + | 41.1938i | 2.22812 | + | 1.69880i | ||||
\(589\) | −20.0263 | + | 34.6866i | −0.825170 | + | 1.42924i | ||||
\(590\) | −34.5514 | − | 13.5604i | −1.42246 | − | 0.558273i | ||||
\(591\) | −8.77774 | + | 13.1654i | −0.361068 | + | 0.541553i | ||||
\(592\) | 100.771 | + | 93.5014i | 4.14165 | + | 3.84289i | ||||
\(593\) | −1.94217 | + | 25.9164i | −0.0797553 | + | 1.06426i | 0.803480 | + | 0.595331i | \(0.202979\pi\) |
−0.883236 | + | 0.468929i | \(0.844640\pi\) | |||||||
\(594\) | −3.84074 | + | 2.79718i | −0.157587 | + | 0.114770i | ||||
\(595\) | −4.76876 | + | 7.68662i | −0.195500 | + | 0.315120i | ||||
\(596\) | −7.02069 | + | 10.2975i | −0.287579 | + | 0.421801i | ||||
\(597\) | −16.6994 | + | 6.75441i | −0.683461 | + | 0.276439i | ||||
\(598\) | 3.77418 | − | 7.83717i | 0.154338 | − | 0.320486i | ||||
\(599\) | −3.20111 | + | 2.55280i | −0.130794 | + | 0.104304i | −0.686702 | − | 0.726939i | \(-0.740942\pi\) |
0.555908 | + | 0.831244i | \(0.312371\pi\) | |||||||
\(600\) | −50.1582 | + | 11.9960i | −2.04770 | + | 0.489736i | ||||
\(601\) | 20.9931 | + | 8.23920i | 0.856328 | + | 0.336084i | 0.752565 | − | 0.658518i | \(-0.228816\pi\) |
0.103763 | + | 0.994602i | \(0.466912\pi\) | |||||||
\(602\) | 45.7251 | − | 1.97268i | 1.86361 | − | 0.0804004i | ||||
\(603\) | −16.9283 | − | 40.6373i | −0.689372 | − | 1.65488i | ||||
\(604\) | −24.5258 | + | 16.7214i | −0.997940 | + | 0.680384i | ||||
\(605\) | −14.7300 | − | 4.54361i | −0.598861 | − | 0.184724i | ||||
\(606\) | −0.501312 | − | 48.4127i | −0.0203644 | − | 1.96663i | ||||
\(607\) | −13.4728 | + | 7.77853i | −0.546844 | + | 0.315721i | −0.747848 | − | 0.663870i | \(-0.768913\pi\) |
0.201004 | + | 0.979590i | \(0.435580\pi\) | |||||||
\(608\) | 114.463 | + | 35.3072i | 4.64209 | + | 1.43189i | ||||
\(609\) | 8.24636 | + | 4.99852i | 0.334160 | + | 0.202550i | ||||
\(610\) | 38.2774 | − | 11.8070i | 1.54981 | − | 0.478052i | ||||
\(611\) | 2.71223 | − | 2.92309i | 0.109725 | − | 0.118256i | ||||
\(612\) | 24.6542 | − | 32.2640i | 0.996586 | − | 1.30419i | ||||
\(613\) | 8.08553 | + | 1.21870i | 0.326571 | + | 0.0492227i | 0.310282 | − | 0.950645i | \(-0.399577\pi\) |
0.0162895 | + | 0.999867i | \(0.494815\pi\) | |||||||
\(614\) | 16.0070 | − | 70.1313i | 0.645991 | − | 2.83027i | ||||
\(615\) | −3.13536 | + | 1.00280i | −0.126430 | + | 0.0404368i | ||||
\(616\) | −0.926622 | + | 8.66905i | −0.0373347 | + | 0.349286i | ||||
\(617\) | −8.83441 | + | 28.6405i | −0.355660 | + | 1.15302i | 0.584243 | + | 0.811579i | \(0.301392\pi\) |
−0.939903 | + | 0.341442i | \(0.889085\pi\) | |||||||
\(618\) | 13.5227 | − | 23.9924i | 0.543963 | − | 0.965114i | ||||
\(619\) | −7.75372 | − | 4.47661i | −0.311648 | − | 0.179930i | 0.336015 | − | 0.941856i | \(-0.390921\pi\) |
−0.647664 | + | 0.761926i | \(0.724254\pi\) | |||||||
\(620\) | −44.7055 | − | 48.1811i | −1.79542 | − | 1.93500i | ||||
\(621\) | −35.4621 | + | 3.76824i | −1.42305 | + | 0.151214i | ||||
\(622\) | 26.3087 | + | 20.9805i | 1.05488 | + | 0.841241i | ||||
\(623\) | −27.4766 | − | 9.43856i | −1.10083 | − | 0.378148i | ||||
\(624\) | 9.99607 | − | 8.14235i | 0.400163 | − | 0.325955i | ||||
\(625\) | 0.762429 | − | 0.707431i | 0.0304972 | − | 0.0282972i | ||||
\(626\) | 26.9203 | + | 33.7570i | 1.07595 | + | 1.34920i | ||||
\(627\) | 2.27754 | − | 1.58759i | 0.0909561 | − | 0.0634023i | ||||
\(628\) | −37.0498 | − | 29.5462i | −1.47845 | − | 1.17902i | ||||
\(629\) | −18.4726 | + | 8.89594i | −0.736551 | + | 0.354704i | ||||
\(630\) | 30.1267 | + | 7.22497i | 1.20028 | + | 0.287850i | ||||
\(631\) | −34.0667 | − | 16.4057i | −1.35618 | − | 0.653100i | −0.392395 | − | 0.919797i | \(-0.628353\pi\) |
−0.963780 | + | 0.266697i | \(0.914068\pi\) | |||||||
\(632\) | 3.22874 | + | 6.70454i | 0.128432 | + | 0.266692i | ||||
\(633\) | −6.07520 | + | 27.9480i | −0.241467 | + | 1.11083i | ||||
\(634\) | −23.9761 | + | 11.5463i | −0.952213 | + | 0.458562i | ||||
\(635\) | 7.70683 | − | 19.6367i | 0.305836 | − | 0.779258i | ||||
\(636\) | 79.1966 | + | 44.6372i | 3.14035 | + | 1.76998i | ||||
\(637\) | −3.06348 | + | 0.983446i | −0.121379 | + | 0.0389655i | ||||
\(638\) | 1.92415i | 0.0761780i | ||||||||
\(639\) | −3.57675 | − | 20.7981i | −0.141494 | − | 0.822761i | ||||
\(640\) | −39.5153 | + | 57.9582i | −1.56198 | + | 2.29100i | ||||
\(641\) | −14.5254 | + | 15.6546i | −0.573717 | + | 0.618320i | −0.951528 | − | 0.307563i | \(-0.900486\pi\) |
0.377811 | + | 0.925883i | \(0.376677\pi\) | |||||||
\(642\) | 2.28741 | − | 1.13088i | 0.0902768 | − | 0.0446324i | ||||
\(643\) | −8.33041 | − | 12.2185i | −0.328519 | − | 0.481849i | 0.626073 | − | 0.779764i | \(-0.284661\pi\) |
−0.954592 | + | 0.297915i | \(0.903709\pi\) | |||||||
\(644\) | −59.9541 | + | 82.2143i | −2.36252 | + | 3.23970i | ||||
\(645\) | 13.7874 | − | 6.81641i | 0.542878 | − | 0.268396i | ||||
\(646\) | −20.0726 | + | 25.1702i | −0.789746 | + | 0.990310i | ||||
\(647\) | 2.54128 | + | 33.9110i | 0.0999080 | + | 1.33318i | 0.791623 | + | 0.611009i | \(0.209236\pi\) |
−0.691715 | + | 0.722170i | \(0.743145\pi\) | |||||||
\(648\) | −84.5345 | − | 29.1992i | −3.32083 | − | 1.14705i | ||||
\(649\) | 0.929469 | − | 3.01326i | 0.0364848 | − | 0.118281i | ||||
\(650\) | 1.38746 | − | 3.53519i | 0.0544207 | − | 0.138662i | ||||
\(651\) | −10.4160 | − | 36.5155i | −0.408236 | − | 1.43116i | ||||
\(652\) | −11.5254 | − | 29.3662i | −0.451369 | − | 1.15007i | ||||
\(653\) | 9.65364 | − | 0.723440i | 0.377776 | − | 0.0283104i | 0.115511 | − | 0.993306i | \(-0.463150\pi\) |
0.262265 | + | 0.964996i | \(0.415530\pi\) | |||||||
\(654\) | −16.8598 | + | 56.7375i | −0.659272 | + | 2.21861i | ||||
\(655\) | 2.29199 | − | 3.96984i | 0.0895554 | − | 0.155115i | ||||
\(656\) | 10.8718 | − | 18.8305i | 0.424471 | − | 0.735206i | ||||
\(657\) | 17.0509 | − | 4.26508i | 0.665219 | − | 0.166397i | ||||
\(658\) | −50.7097 | + | 37.8751i | −1.97687 | + | 1.47652i | ||||
\(659\) | −2.86967 | − | 9.30323i | −0.111786 | − | 0.362403i | 0.882342 | − | 0.470609i | \(-0.155966\pi\) |
−0.994128 | + | 0.108206i | \(0.965489\pi\) | |||||||
\(660\) | 1.38787 | + | 4.33933i | 0.0540229 | + | 0.168908i | ||||
\(661\) | 25.0983 | + | 20.0152i | 0.976209 | + | 0.778501i | 0.975161 | − | 0.221499i | \(-0.0710948\pi\) |
0.00104847 | + | 0.999999i | \(0.499666\pi\) | |||||||
\(662\) | 26.7047 | + | 21.2963i | 1.03791 | + | 0.827705i | ||||
\(663\) | 0.585785 | + | 1.83152i | 0.0227500 | + | 0.0711302i | ||||
\(664\) | −6.00967 | − | 19.4829i | −0.233220 | − | 0.756082i | ||||
\(665\) | −17.5121 | − | 4.58523i | −0.679089 | − | 0.177808i | ||||
\(666\) | 48.8183 | + | 50.4758i | 1.89167 | + | 1.95590i | ||||
\(667\) | −7.22095 | + | 12.5070i | −0.279596 | + | 0.484275i | ||||
\(668\) | 47.2214 | − | 81.7898i | 1.82705 | − | 3.16454i | ||||
\(669\) | 5.30902 | − | 17.8662i | 0.205259 | − | 0.690746i | ||||
\(670\) | −57.1161 | + | 4.28026i | −2.20659 | + | 0.165361i | ||||
\(671\) | 1.24330 | + | 3.16787i | 0.0479970 | + | 0.122294i | ||||
\(672\) | −99.5365 | + | 54.6707i | −3.83970 | + | 2.10897i | ||||
\(673\) | −6.24279 | + | 15.9064i | −0.240642 | + | 0.613146i | −0.999263 | − | 0.0383865i | \(-0.987778\pi\) |
0.758621 | + | 0.651532i | \(0.225873\pi\) | |||||||
\(674\) | −20.9615 | + | 67.9555i | −0.807406 | + | 2.61755i | ||||
\(675\) | −15.3161 | + | 2.79757i | −0.589518 | + | 0.107678i | ||||
\(676\) | −5.35551 | − | 71.4643i | −0.205981 | − | 2.74863i | ||||
\(677\) | −7.16428 | + | 8.98372i | −0.275345 | + | 0.345272i | −0.900206 | − | 0.435464i | \(-0.856584\pi\) |
0.624861 | + | 0.780736i | \(0.285156\pi\) | |||||||
\(678\) | −34.0414 | + | 16.8299i | −1.30735 | + | 0.646349i | ||||
\(679\) | −4.02924 | + | 21.9821i | −0.154628 | + | 0.843596i | ||||
\(680\) | −19.1389 | − | 28.0716i | −0.733942 | − | 1.07650i | ||||
\(681\) | 27.3777 | − | 13.5354i | 1.04912 | − | 0.518678i | ||||
\(682\) | 5.15359 | − | 5.55425i | 0.197341 | − | 0.212683i | ||||
\(683\) | 11.5922 | − | 17.0027i | 0.443565 | − | 0.650590i | −0.537726 | − | 0.843119i | \(-0.680717\pi\) |
0.981291 | + | 0.192529i | \(0.0616690\pi\) | |||||||
\(684\) | 76.2412 | + | 28.1148i | 2.91515 | + | 1.07500i | ||||
\(685\) | 8.82029i | 0.337006i | ||||||||
\(686\) | 50.6428 | − | 6.58724i | 1.93355 | − | 0.251502i | ||||
\(687\) | −16.2319 | − | 9.14871i | −0.619285 | − | 0.349045i | ||||
\(688\) | −37.1158 | + | 94.5695i | −1.41503 | + | 3.60543i | ||||
\(689\) | −3.87880 | + | 1.86793i | −0.147770 | + | 0.0711625i | ||||
\(690\) | −9.85573 | + | 45.3398i | −0.375201 | + | 1.72606i | ||||
\(691\) | −0.0904422 | − | 0.187805i | −0.00344058 | − | 0.00714444i | 0.899241 | − | 0.437453i | \(-0.144119\pi\) |
−0.902682 | + | 0.430308i | \(0.858405\pi\) | |||||||
\(692\) | −79.0249 | − | 38.0564i | −3.00408 | − | 1.44669i | ||||
\(693\) | −0.420826 | + | 2.59818i | −0.0159859 | + | 0.0986968i | ||||
\(694\) | 15.5714 | − | 7.49881i | 0.591084 | − | 0.284651i | ||||
\(695\) | 13.7869 | + | 10.9947i | 0.522966 | + | 0.417051i | ||||
\(696\) | −29.7123 | + | 20.7114i | −1.12624 | + | 0.785063i | ||||
\(697\) | 2.02199 | + | 2.53549i | 0.0765883 | + | 0.0960387i | ||||
\(698\) | 4.13539 | − | 3.83708i | 0.156527 | − | 0.145236i | ||||
\(699\) | 3.95694 | − | 3.22314i | 0.149665 | − | 0.121910i | ||||
\(700\) | −23.4198 | + | 37.7496i | −0.885183 | + | 1.42680i | ||||
\(701\) | 9.76941 | + | 7.79084i | 0.368985 | + | 0.294256i | 0.790375 | − | 0.612624i | \(-0.209886\pi\) |
−0.421389 | + | 0.906880i | \(0.638457\pi\) | |||||||
\(702\) | 5.32362 | − | 3.87715i | 0.200927 | − | 0.146334i | ||||
\(703\) | −27.9081 | − | 30.0778i | −1.05257 | − | 1.13440i | ||||
\(704\) | −10.3228 | − | 5.95986i | −0.389054 | − | 0.224621i | ||||
\(705\) | −10.4436 | + | 18.5293i | −0.393329 | + | 0.697855i | ||||
\(706\) | −29.2686 | + | 94.8865i | −1.10154 | + | 3.57110i | ||||
\(707\) | −19.0726 | − | 18.8558i | −0.717300 | − | 0.709147i | ||||
\(708\) | 87.9103 | − | 28.1169i | 3.30387 | − | 1.05670i | ||||
\(709\) | 5.62900 | − | 24.6622i | 0.211401 | − | 0.926210i | −0.752214 | − | 0.658919i | \(-0.771014\pi\) |
0.963616 | − | 0.267292i | \(-0.0861287\pi\) | |||||||
\(710\) | −27.1505 | − | 4.09228i | −1.01894 | − | 0.153580i | ||||
\(711\) | 0.863881 | + | 2.07380i | 0.0323981 | + | 0.0777735i | ||||
\(712\) | 74.2201 | − | 79.9902i | 2.78151 | − | 2.99776i | ||||
\(713\) | 54.3424 | − | 16.7624i | 2.03514 | − | 0.627757i | ||||
\(714\) | −3.90427 | − | 30.2708i | −0.146114 | − | 1.13286i | ||||
\(715\) | −0.206164 | − | 0.0635931i | −0.00771009 | − | 0.00237825i | ||||
\(716\) | 74.9795 | − | 43.2894i | 2.80211 | − | 1.61780i | ||||
\(717\) | −0.00151980 | − | 0.146770i | −5.67579e−5 | − | 0.00548123i | ||||
\(718\) | −90.1115 | − | 27.7957i | −3.36293 | − | 1.03733i | ||||
\(719\) | −2.51616 | + | 1.71549i | −0.0938368 | + | 0.0639768i | −0.609329 | − | 0.792917i | \(-0.708561\pi\) |
0.515493 | + | 0.856894i | \(0.327609\pi\) | |||||||
\(720\) | −41.7546 | + | 54.6426i | −1.55610 | + | 2.03641i | ||||
\(721\) | −4.03281 | − | 14.7137i | −0.150190 | − | 0.547968i | ||||
\(722\) | −11.2027 | − | 4.39674i | −0.416922 | − | 0.163630i | ||||
\(723\) | −17.9534 | + | 4.29379i | −0.667693 | + | 0.159688i | ||||
\(724\) | 50.4962 | − | 40.2694i | 1.87668 | − | 1.49660i | ||||
\(725\) | −2.73571 | + | 5.68076i | −0.101602 | + | 0.210978i | ||||
\(726\) | 48.2173 | − | 19.5024i | 1.78951 | − | 0.723803i | ||||
\(727\) | −28.7000 | + | 42.0952i | −1.06442 | + | 1.56122i | −0.261443 | + | 0.965219i | \(0.584198\pi\) |
−0.802981 | + | 0.596005i | \(0.796754\pi\) | |||||||
\(728\) | 1.28438 | − | 12.0161i | 0.0476025 | − | 0.445347i | ||||
\(729\) | −25.0066 | − | 10.1819i | −0.926169 | − | 0.377108i | ||||
\(730\) | 1.70893 | − | 22.8041i | 0.0632503 | − | 0.844017i | ||||
\(731\) | −11.1074 | − | 10.3062i | −0.410824 | − | 0.381189i | ||||
\(732\) | −55.2558 | + | 82.8763i | −2.04231 | + | 3.06320i | ||||
\(733\) | 22.6704 | + | 8.89749i | 0.837352 | + | 0.328636i | 0.744979 | − | 0.667088i | \(-0.232460\pi\) |
0.0923729 | + | 0.995724i | \(0.470555\pi\) | |||||||
\(734\) | −20.2277 | + | 35.0354i | −0.746617 | + | 1.29318i | ||||
\(735\) | 14.6723 | − | 8.90276i | 0.541196 | − | 0.328383i | ||||
\(736\) | −85.0385 | − | 147.291i | −3.13456 | − | 5.42922i | ||||
\(737\) | −0.725242 | − | 4.81167i | −0.0267146 | − | 0.177240i | ||||
\(738\) | 6.06547 | − | 9.30471i | 0.223273 | − | 0.342511i | ||||
\(739\) | 6.09669 | − | 1.88058i | 0.224270 | − | 0.0691782i | −0.180584 | − | 0.983560i | \(-0.557799\pi\) |
0.404854 | + | 0.914381i | \(0.367322\pi\) | |||||||
\(740\) | 60.6642 | − | 29.2143i | 2.23006 | − | 1.07394i | ||||
\(741\) | −3.15688 | + | 2.20055i | −0.115971 | + | 0.0808392i | ||||
\(742\) | 65.9030 | − | 18.0630i | 2.41938 | − | 0.663114i | ||||
\(743\) | 1.80182 | + | 0.135028i | 0.0661024 | + | 0.00495369i | 0.107740 | − | 0.994179i | \(-0.465639\pi\) |
−0.0416378 | + | 0.999133i | \(0.513258\pi\) | |||||||
\(744\) | 141.240 | + | 19.7951i | 5.17811 | + | 0.725722i | ||||
\(745\) | 1.77342 | + | 2.60114i | 0.0649732 | + | 0.0952982i | ||||
\(746\) | 58.5783 | + | 22.9903i | 2.14470 | + | 0.841734i | ||||
\(747\) | −1.49364 | − | 5.97125i | −0.0546493 | − | 0.218476i | ||||
\(748\) | 3.50912 | − | 2.79843i | 0.128306 | − | 0.102321i | ||||
\(749\) | 0.459224 | − | 1.33685i | 0.0167797 | − | 0.0488473i | ||||
\(750\) | −7.50329 | + | 53.5368i | −0.273982 | + | 1.95489i | ||||
\(751\) | −3.12984 | − | 41.7648i | −0.114210 | − | 1.52402i | −0.700343 | − | 0.713806i | \(-0.746970\pi\) |
0.586133 | − | 0.810215i | \(-0.300649\pi\) | |||||||
\(752\) | −31.2628 | − | 136.971i | −1.14004 | − | 4.99483i | ||||
\(753\) | 3.32022 | + | 5.61570i | 0.120996 | + | 0.204647i | ||||
\(754\) | − | 2.66706i | − | 0.0971284i | ||||||
\(755\) | 1.66848 | + | 7.31008i | 0.0607221 | + | 0.266041i | ||||
\(756\) | −69.4302 | + | 33.3827i | −2.52515 | + | 1.21412i | ||||
\(757\) | −3.57104 | + | 15.6458i | −0.129792 | + | 0.568655i | 0.867650 | + | 0.497175i | \(0.165629\pi\) |
−0.997442 | + | 0.0714799i | \(0.977228\pi\) | |||||||
\(758\) | 17.9893 | + | 4.10594i | 0.653401 | + | 0.149134i | ||||
\(759\) | −3.90374 | − | 0.547116i | −0.141697 | − | 0.0198591i | ||||
\(760\) | 42.3919 | − | 53.1578i | 1.53772 | − | 1.92824i | ||||
\(761\) | −34.5793 | + | 10.6663i | −1.25350 | + | 0.386653i | −0.849247 | − | 0.527995i | \(-0.822944\pi\) |
−0.404251 | + | 0.914648i | \(0.632468\pi\) | |||||||
\(762\) | 21.6830 | + | 67.7942i | 0.785492 | + | 2.45592i | ||||
\(763\) | 15.4864 | + | 28.9007i | 0.560646 | + | 1.04627i | ||||
\(764\) | 44.2846 | − | 10.1077i | 1.60216 | − | 0.365683i | ||||
\(765\) | −5.31128 | − | 8.77462i | −0.192030 | − | 0.317247i | ||||
\(766\) | −31.4941 | + | 18.1831i | −1.13793 | + | 0.656982i | ||||
\(767\) | −1.28833 | + | 4.17666i | −0.0465189 | + | 0.150811i | ||||
\(768\) | −9.54006 | − | 111.761i | −0.344247 | − | 4.03285i | ||||
\(769\) | −49.9038 | + | 19.5858i | −1.79958 | + | 0.706282i | −0.806166 | + | 0.591690i | \(0.798461\pi\) |
−0.993413 | + | 0.114593i | \(0.963444\pi\) | |||||||
\(770\) | 3.03674 | + | 1.58283i | 0.109436 | + | 0.0570411i | ||||
\(771\) |