Properties

Label 983.2.c.a.2.12
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 983 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 983.c (of order \(491\), degree \(490\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.84929451869\)
Analytic rank: \(0\)
Dimension: \(39690\)
Relative dimension: \(81\) over \(\Q(\zeta_{491})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{491}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.691522 + 2.06516i) q^{2} +(-1.31722 - 0.740034i) q^{3} +(-2.18995 - 1.65183i) q^{4} +(-2.30250 + 3.47293i) q^{5} +(2.43917 - 2.20852i) q^{6} +(0.363807 - 0.802796i) q^{7} +(1.33432 - 0.915691i) q^{8} +(-0.373111 - 0.612595i) q^{9} +O(q^{10})\) \(q+(-0.691522 + 2.06516i) q^{2} +(-1.31722 - 0.740034i) q^{3} +(-2.18995 - 1.65183i) q^{4} +(-2.30250 + 3.47293i) q^{5} +(2.43917 - 2.20852i) q^{6} +(0.363807 - 0.802796i) q^{7} +(1.33432 - 0.915691i) q^{8} +(-0.373111 - 0.612595i) q^{9} +(-5.57991 - 7.15662i) q^{10} +(-1.49176 - 0.0955789i) q^{11} +(1.66224 + 3.79647i) q^{12} +(0.264935 + 0.306111i) q^{13} +(1.40632 + 1.30647i) q^{14} +(5.60299 - 2.87069i) q^{15} +(-0.538977 - 1.88621i) q^{16} +(-0.645980 + 0.285301i) q^{17} +(1.52312 - 0.346910i) q^{18} +(-4.63566 - 3.54334i) q^{19} +(10.7791 - 3.80219i) q^{20} +(-1.07331 + 0.788231i) q^{21} +(1.22897 - 3.01463i) q^{22} +(0.765731 + 7.22614i) q^{23} +(-2.43524 + 0.218726i) q^{24} +(-4.81310 - 11.3873i) q^{25} +(-0.815376 + 0.335450i) q^{26} +(0.197603 + 5.61284i) q^{27} +(-2.12280 + 1.15714i) q^{28} +(5.18004 - 7.49668i) q^{29} +(2.05383 + 13.5562i) q^{30} +(0.728553 + 1.08378i) q^{31} +(7.50140 + 0.336201i) q^{32} +(1.89425 + 1.22986i) q^{33} +(-0.142481 - 1.53134i) q^{34} +(1.95039 + 3.11191i) q^{35} +(-0.194810 + 1.95787i) q^{36} +(-3.37878 + 0.838088i) q^{37} +(10.5232 - 7.12306i) q^{38} +(-0.122446 - 0.599278i) q^{39} +(0.107859 + 6.74237i) q^{40} +(3.64627 + 0.327498i) q^{41} +(-0.885602 - 2.76163i) q^{42} +(-1.36438 - 1.87034i) q^{43} +(3.10901 + 2.67346i) q^{44} +(2.98659 + 0.114712i) q^{45} +(-15.4526 - 3.41568i) q^{46} +(-1.87742 - 6.26561i) q^{47} +(-0.685911 + 2.88342i) q^{48} +(4.10259 + 4.67937i) q^{49} +(26.8449 - 2.06522i) q^{50} +(1.06203 + 0.102243i) q^{51} +(-0.0745505 - 1.10800i) q^{52} +(-6.30654 + 5.78403i) q^{53} +(-11.7280 - 3.47332i) q^{54} +(3.76673 - 4.96072i) q^{55} +(-0.249679 - 1.40432i) q^{56} +(3.48400 + 8.09791i) q^{57} +(11.8997 + 15.8817i) q^{58} +(-4.44325 - 0.341826i) q^{59} +(-17.0122 - 2.96854i) q^{60} +(5.53208 + 4.69584i) q^{61} +(-2.74198 + 0.755120i) q^{62} +(-0.627529 + 0.0766660i) q^{63} +(-4.47058 + 11.5982i) q^{64} +(-1.67312 + 0.215280i) q^{65} +(-3.84976 + 3.06146i) q^{66} +(6.71684 - 5.77586i) q^{67} +(1.88593 + 0.442256i) q^{68} +(4.33895 - 10.0851i) q^{69} +(-7.77532 + 1.87590i) q^{70} +(-2.96848 + 2.42328i) q^{71} +(-1.05880 - 0.475743i) q^{72} +(11.9983 + 8.57731i) q^{73} +(0.605718 - 7.55726i) q^{74} +(-2.08708 + 18.5615i) q^{75} +(4.29885 + 15.4171i) q^{76} +(-0.619444 + 1.16281i) q^{77} +(1.32228 + 0.161544i) q^{78} +(1.80489 - 0.267546i) q^{79} +(7.79168 + 2.47118i) q^{80} +(2.90608 - 5.62763i) q^{81} +(-3.19781 + 7.30364i) q^{82} +(7.05251 - 2.18718i) q^{83} +(3.65252 + 0.0467428i) q^{84} +(0.496540 - 2.90034i) q^{85} +(4.80604 - 1.52427i) q^{86} +(-12.3711 + 6.04139i) q^{87} +(-2.07801 + 1.23846i) q^{88} +(5.07283 + 3.33990i) q^{89} +(-2.30219 + 6.08844i) q^{90} +(0.342130 - 0.101324i) q^{91} +(10.2595 - 17.0897i) q^{92} +(-0.157634 - 1.96673i) q^{93} +(14.2377 + 0.455646i) q^{94} +(22.9794 - 7.94077i) q^{95} +(-9.63220 - 5.99414i) q^{96} +(10.7263 - 0.549526i) q^{97} +(-12.5007 + 5.23661i) q^{98} +(0.498043 + 0.949510i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{337}{491}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.691522 + 2.06516i −0.488980 + 1.46029i 0.360548 + 0.932741i \(0.382590\pi\)
−0.849527 + 0.527545i \(0.823113\pi\)
\(3\) −1.31722 0.740034i −0.760498 0.427259i 0.0605154 0.998167i \(-0.480726\pi\)
−0.821014 + 0.570908i \(0.806591\pi\)
\(4\) −2.18995 1.65183i −1.09497 0.825916i
\(5\) −2.30250 + 3.47293i −1.02971 + 1.55314i −0.212198 + 0.977227i \(0.568062\pi\)
−0.817511 + 0.575914i \(0.804646\pi\)
\(6\) 2.43917 2.20852i 0.995788 0.901624i
\(7\) 0.363807 0.802796i 0.137506 0.303428i −0.829359 0.558716i \(-0.811294\pi\)
0.966865 + 0.255287i \(0.0821701\pi\)
\(8\) 1.33432 0.915691i 0.471753 0.323746i
\(9\) −0.373111 0.612595i −0.124370 0.204198i
\(10\) −5.57991 7.15662i −1.76452 2.26312i
\(11\) −1.49176 0.0955789i −0.449784 0.0288181i −0.162597 0.986693i \(-0.551987\pi\)
−0.287187 + 0.957874i \(0.592720\pi\)
\(12\) 1.66224 + 3.79647i 0.479846 + 1.09595i
\(13\) 0.264935 + 0.306111i 0.0734798 + 0.0849000i 0.791678 0.610939i \(-0.209208\pi\)
−0.718198 + 0.695839i \(0.755033\pi\)
\(14\) 1.40632 + 1.30647i 0.375854 + 0.349168i
\(15\) 5.60299 2.87069i 1.44669 0.741208i
\(16\) −0.538977 1.88621i −0.134744 0.471554i
\(17\) −0.645980 + 0.285301i −0.156673 + 0.0691956i −0.480859 0.876798i \(-0.659675\pi\)
0.324186 + 0.945993i \(0.394909\pi\)
\(18\) 1.52312 0.346910i 0.359003 0.0817674i
\(19\) −4.63566 3.54334i −1.06349 0.812898i −0.0805395 0.996751i \(-0.525664\pi\)
−0.982954 + 0.183853i \(0.941143\pi\)
\(20\) 10.7791 3.80219i 2.41027 0.850196i
\(21\) −1.07331 + 0.788231i −0.234216 + 0.172006i
\(22\) 1.22897 3.01463i 0.262018 0.642722i
\(23\) 0.765731 + 7.22614i 0.159666 + 1.50675i 0.728924 + 0.684595i \(0.240021\pi\)
−0.569258 + 0.822159i \(0.692769\pi\)
\(24\) −2.43524 + 0.218726i −0.497091 + 0.0446473i
\(25\) −4.81310 11.3873i −0.962620 2.27746i
\(26\) −0.815376 + 0.335450i −0.159908 + 0.0657871i
\(27\) 0.197603 + 5.61284i 0.0380287 + 1.08019i
\(28\) −2.12280 + 1.15714i −0.401172 + 0.218678i
\(29\) 5.18004 7.49668i 0.961909 1.39210i 0.0423688 0.999102i \(-0.486510\pi\)
0.919540 0.392997i \(-0.128562\pi\)
\(30\) 2.05383 + 13.5562i 0.374976 + 2.47501i
\(31\) 0.728553 + 1.08378i 0.130852 + 0.194652i 0.889611 0.456720i \(-0.150976\pi\)
−0.758759 + 0.651372i \(0.774194\pi\)
\(32\) 7.50140 + 0.336201i 1.32607 + 0.0594325i
\(33\) 1.89425 + 1.22986i 0.329747 + 0.214090i
\(34\) −0.142481 1.53134i −0.0244353 0.262623i
\(35\) 1.95039 + 3.11191i 0.329676 + 0.526009i
\(36\) −0.194810 + 1.95787i −0.0324683 + 0.326312i
\(37\) −3.37878 + 0.838088i −0.555468 + 0.137781i −0.508416 0.861112i \(-0.669769\pi\)
−0.0470520 + 0.998892i \(0.514983\pi\)
\(38\) 10.5232 7.12306i 1.70709 1.15551i
\(39\) −0.122446 0.599278i −0.0196070 0.0959612i
\(40\) 0.107859 + 6.74237i 0.0170541 + 1.06606i
\(41\) 3.64627 + 0.327498i 0.569451 + 0.0511466i 0.370450 0.928853i \(-0.379204\pi\)
0.199002 + 0.979999i \(0.436230\pi\)
\(42\) −0.885602 2.76163i −0.136651 0.426129i
\(43\) −1.36438 1.87034i −0.208065 0.285225i 0.691168 0.722695i \(-0.257097\pi\)
−0.899233 + 0.437470i \(0.855875\pi\)
\(44\) 3.10901 + 2.67346i 0.468701 + 0.403039i
\(45\) 2.98659 + 0.114712i 0.445214 + 0.0171002i
\(46\) −15.4526 3.41568i −2.27836 0.503614i
\(47\) −1.87742 6.26561i −0.273850 0.913933i −0.978825 0.204701i \(-0.934378\pi\)
0.704975 0.709232i \(-0.250958\pi\)
\(48\) −0.685911 + 2.88342i −0.0990027 + 0.416187i
\(49\) 4.10259 + 4.67937i 0.586085 + 0.668481i
\(50\) 26.8449 2.06522i 3.79645 0.292067i
\(51\) 1.06203 + 0.102243i 0.148714 + 0.0143169i
\(52\) −0.0745505 1.10800i −0.0103383 0.153652i
\(53\) −6.30654 + 5.78403i −0.866269 + 0.794498i −0.979997 0.199014i \(-0.936226\pi\)
0.113727 + 0.993512i \(0.463721\pi\)
\(54\) −11.7280 3.47332i −1.59598 0.472659i
\(55\) 3.76673 4.96072i 0.507905 0.668903i
\(56\) −0.249679 1.40432i −0.0333647 0.187660i
\(57\) 3.48400 + 8.09791i 0.461467 + 1.07259i
\(58\) 11.8997 + 15.8817i 1.56251 + 2.08537i
\(59\) −4.44325 0.341826i −0.578461 0.0445019i −0.215824 0.976432i \(-0.569244\pi\)
−0.362637 + 0.931930i \(0.618124\pi\)
\(60\) −17.0122 2.96854i −2.19626 0.383236i
\(61\) 5.53208 + 4.69584i 0.708310 + 0.601240i 0.927226 0.374503i \(-0.122187\pi\)
−0.218916 + 0.975744i \(0.570252\pi\)
\(62\) −2.74198 + 0.755120i −0.348232 + 0.0959003i
\(63\) −0.627529 + 0.0766660i −0.0790613 + 0.00965901i
\(64\) −4.47058 + 11.5982i −0.558823 + 1.44977i
\(65\) −1.67312 + 0.215280i −0.207524 + 0.0267022i
\(66\) −3.84976 + 3.06146i −0.473873 + 0.376839i
\(67\) 6.71684 5.77586i 0.820593 0.705633i −0.137994 0.990433i \(-0.544066\pi\)
0.958587 + 0.284800i \(0.0919271\pi\)
\(68\) 1.88593 + 0.442256i 0.228703 + 0.0536315i
\(69\) 4.33895 10.0851i 0.522348 1.21410i
\(70\) −7.77532 + 1.87590i −0.929328 + 0.224213i
\(71\) −2.96848 + 2.42328i −0.352294 + 0.287591i −0.791963 0.610569i \(-0.790941\pi\)
0.439669 + 0.898160i \(0.355096\pi\)
\(72\) −1.05880 0.475743i −0.124780 0.0560668i
\(73\) 11.9983 + 8.57731i 1.40430 + 1.00390i 0.995840 + 0.0911201i \(0.0290447\pi\)
0.408456 + 0.912778i \(0.366067\pi\)
\(74\) 0.605718 7.55726i 0.0704133 0.878514i
\(75\) −2.08708 + 18.5615i −0.240995 + 2.14330i
\(76\) 4.29885 + 15.4171i 0.493112 + 1.76846i
\(77\) −0.619444 + 1.16281i −0.0705922 + 0.132515i
\(78\) 1.32228 + 0.161544i 0.149718 + 0.0182913i
\(79\) 1.80489 0.267546i 0.203066 0.0301012i −0.0443241 0.999017i \(-0.514113\pi\)
0.247390 + 0.968916i \(0.420427\pi\)
\(80\) 7.79168 + 2.47118i 0.871136 + 0.276286i
\(81\) 2.90608 5.62763i 0.322898 0.625293i
\(82\) −3.19781 + 7.30364i −0.353139 + 0.806552i
\(83\) 7.05251 2.18718i 0.774113 0.240074i 0.116258 0.993219i \(-0.462910\pi\)
0.657855 + 0.753145i \(0.271464\pi\)
\(84\) 3.65252 + 0.0467428i 0.398523 + 0.00510006i
\(85\) 0.496540 2.90034i 0.0538573 0.314587i
\(86\) 4.80604 1.52427i 0.518249 0.164366i
\(87\) −12.3711 + 6.04139i −1.32632 + 0.647705i
\(88\) −2.07801 + 1.23846i −0.221517 + 0.132021i
\(89\) 5.07283 + 3.33990i 0.537719 + 0.354029i 0.789495 0.613757i \(-0.210342\pi\)
−0.251776 + 0.967786i \(0.581015\pi\)
\(90\) −2.30219 + 6.08844i −0.242672 + 0.641778i
\(91\) 0.342130 0.101324i 0.0358650 0.0106216i
\(92\) 10.2595 17.0897i 1.06962 1.78173i
\(93\) −0.157634 1.96673i −0.0163459 0.203940i
\(94\) 14.2377 + 0.455646i 1.46851 + 0.0469963i
\(95\) 22.9794 7.94077i 2.35763 0.814705i
\(96\) −9.63220 5.99414i −0.983083 0.611774i
\(97\) 10.7263 0.549526i 1.08909 0.0557959i 0.501656 0.865067i \(-0.332724\pi\)
0.587435 + 0.809271i \(0.300138\pi\)
\(98\) −12.5007 + 5.23661i −1.26276 + 0.528977i
\(99\) 0.498043 + 0.949510i 0.0500552 + 0.0954293i
\(100\) −8.26949 + 32.8881i −0.826949 + 3.28881i
\(101\) 5.63911 + 4.08604i 0.561112 + 0.406576i 0.830964 0.556326i \(-0.187789\pi\)
−0.269852 + 0.962902i \(0.586975\pi\)
\(102\) −0.945565 + 2.12256i −0.0936249 + 0.210164i
\(103\) −4.10279 1.59654i −0.404260 0.157312i 0.151882 0.988399i \(-0.451467\pi\)
−0.556142 + 0.831087i \(0.687719\pi\)
\(104\) 0.633811 + 0.165851i 0.0621503 + 0.0162630i
\(105\) −0.266173 5.54243i −0.0259758 0.540886i
\(106\) −7.58382 17.0238i −0.736606 1.65349i
\(107\) 0.913116 4.32763i 0.0882743 0.418368i −0.911698 0.410862i \(-0.865228\pi\)
0.999972 0.00750617i \(-0.00238931\pi\)
\(108\) 8.83873 12.6182i 0.850507 1.21419i
\(109\) −8.25526 9.78867i −0.790711 0.937584i 0.208471 0.978029i \(-0.433151\pi\)
−0.999182 + 0.0404440i \(0.987123\pi\)
\(110\) 7.63988 + 11.2093i 0.728434 + 1.06877i
\(111\) 5.07082 + 1.39646i 0.481301 + 0.132547i
\(112\) −1.71033 0.253529i −0.161611 0.0239562i
\(113\) 3.99452 + 1.95072i 0.375773 + 0.183508i 0.617005 0.786959i \(-0.288346\pi\)
−0.241232 + 0.970467i \(0.577551\pi\)
\(114\) −19.1327 + 1.59511i −1.79194 + 0.149396i
\(115\) −26.8589 13.9788i −2.50461 1.30353i
\(116\) −23.7273 + 7.86080i −2.20302 + 0.729857i
\(117\) 0.0886719 0.276512i 0.00819772 0.0255635i
\(118\) 3.77853 8.93961i 0.347841 0.822958i
\(119\) −0.00597354 + 0.622384i −0.000547593 + 0.0570539i
\(120\) 4.84751 8.96102i 0.442515 0.818025i
\(121\) −8.69383 1.11864i −0.790348 0.101694i
\(122\) −13.5232 + 8.17732i −1.22433 + 0.740340i
\(123\) −4.56058 3.12975i −0.411214 0.282200i
\(124\) 0.194723 3.57686i 0.0174867 0.321212i
\(125\) 30.1528 + 5.66003i 2.69695 + 0.506249i
\(126\) 0.275623 1.34896i 0.0245545 0.120175i
\(127\) −4.42839 10.6669i −0.392956 0.946537i −0.989576 0.144013i \(-0.953999\pi\)
0.596620 0.802524i \(-0.296510\pi\)
\(128\) −9.28787 7.68159i −0.820939 0.678963i
\(129\) 0.413069 + 3.47334i 0.0363687 + 0.305811i
\(130\) 0.712409 3.60411i 0.0624824 0.316102i
\(131\) −15.9024 8.14758i −1.38940 0.711858i −0.409679 0.912230i \(-0.634359\pi\)
−0.979720 + 0.200372i \(0.935785\pi\)
\(132\) −2.11680 5.82231i −0.184244 0.506767i
\(133\) −4.53106 + 2.43240i −0.392893 + 0.210916i
\(134\) 7.28320 + 17.8655i 0.629173 + 1.54334i
\(135\) −19.9480 12.2373i −1.71685 1.05322i
\(136\) −0.600696 + 0.972200i −0.0515092 + 0.0833654i
\(137\) −2.34834 4.14878i −0.200632 0.354454i 0.751706 0.659498i \(-0.229231\pi\)
−0.952338 + 0.305044i \(0.901329\pi\)
\(138\) 17.8268 + 15.9347i 1.51752 + 1.35645i
\(139\) 1.15063 2.19365i 0.0975949 0.186063i −0.831873 0.554966i \(-0.812731\pi\)
0.929468 + 0.368904i \(0.120267\pi\)
\(140\) 0.869106 10.0366i 0.0734528 0.848251i
\(141\) −2.16379 + 9.64255i −0.182224 + 0.812049i
\(142\) −2.95169 7.80613i −0.247700 0.655075i
\(143\) −0.365963 0.481968i −0.0306034 0.0403042i
\(144\) −0.954388 + 1.03394i −0.0795323 + 0.0861619i
\(145\) 14.1084 + 35.2510i 1.17164 + 2.92744i
\(146\) −26.0106 + 18.8470i −2.15265 + 1.55979i
\(147\) −1.94113 9.19983i −0.160102 0.758789i
\(148\) 8.78374 + 3.74581i 0.722019 + 0.307903i
\(149\) −2.74542 10.6306i −0.224914 0.870890i −0.977247 0.212107i \(-0.931968\pi\)
0.752333 0.658783i \(-0.228929\pi\)
\(150\) −36.8891 17.1458i −3.01198 1.39995i
\(151\) 5.22217 1.87972i 0.424974 0.152969i −0.117441 0.993080i \(-0.537469\pi\)
0.542415 + 0.840110i \(0.317510\pi\)
\(152\) −9.43005 0.483117i −0.764878 0.0391859i
\(153\) 0.415796 + 0.289275i 0.0336151 + 0.0233865i
\(154\) −1.97303 2.08336i −0.158991 0.167882i
\(155\) −5.44137 + 0.0348163i −0.437061 + 0.00279651i
\(156\) −0.721756 + 1.51465i −0.0577867 + 0.121269i
\(157\) −16.1112 17.4542i −1.28582 1.39300i −0.877078 0.480347i \(-0.840511\pi\)
−0.408738 0.912652i \(-0.634031\pi\)
\(158\) −0.695597 + 3.91239i −0.0553388 + 0.311253i
\(159\) 12.5875 2.95180i 0.998253 0.234093i
\(160\) −18.4396 + 25.2777i −1.45778 + 1.99838i
\(161\) 6.07969 + 2.01419i 0.479147 + 0.158740i
\(162\) 9.61232 + 9.89315i 0.755215 + 0.777279i
\(163\) −11.1603 + 2.84417i −0.874139 + 0.222772i −0.657477 0.753474i \(-0.728376\pi\)
−0.216662 + 0.976247i \(0.569517\pi\)
\(164\) −7.44417 6.74023i −0.581292 0.526323i
\(165\) −8.63272 + 3.74686i −0.672056 + 0.291693i
\(166\) −0.360093 + 16.0770i −0.0279486 + 1.24782i
\(167\) −4.11646 22.3233i −0.318541 1.72743i −0.629494 0.777005i \(-0.716738\pi\)
0.310953 0.950425i \(-0.399352\pi\)
\(168\) −0.710362 + 2.03457i −0.0548056 + 0.156971i
\(169\) 1.84155 12.7033i 0.141658 0.977178i
\(170\) 5.64629 + 3.03108i 0.433051 + 0.232474i
\(171\) −0.441017 + 4.16184i −0.0337254 + 0.318264i
\(172\) −0.101577 + 6.34968i −0.00774520 + 0.484158i
\(173\) 21.2829 3.99504i 1.61811 0.303737i 0.704305 0.709897i \(-0.251259\pi\)
0.913802 + 0.406160i \(0.133132\pi\)
\(174\) −3.92155 29.7259i −0.297292 2.25352i
\(175\) −10.8927 0.278843i −0.823413 0.0210786i
\(176\) 0.623745 + 2.86530i 0.0470165 + 0.215980i
\(177\) 5.59978 + 3.73841i 0.420905 + 0.280996i
\(178\) −10.4054 + 8.16657i −0.779917 + 0.612111i
\(179\) −11.8424 5.68965i −0.885140 0.425265i −0.0653053 0.997865i \(-0.520802\pi\)
−0.819834 + 0.572601i \(0.805935\pi\)
\(180\) −6.35099 5.18455i −0.473375 0.386434i
\(181\) −6.01872 12.0304i −0.447368 0.894214i −0.998222 0.0596123i \(-0.981014\pi\)
0.550854 0.834602i \(-0.314302\pi\)
\(182\) −0.0273413 + 0.776619i −0.00202667 + 0.0575669i
\(183\) −3.81189 10.2794i −0.281783 0.759874i
\(184\) 7.63864 + 8.94080i 0.563128 + 0.659124i
\(185\) 4.86902 13.6640i 0.357977 1.00459i
\(186\) 4.17061 + 1.03450i 0.305804 + 0.0758530i
\(187\) 0.990919 0.363859i 0.0724631 0.0266080i
\(188\) −6.23829 + 16.8225i −0.454974 + 1.22691i
\(189\) 4.57785 + 1.88335i 0.332990 + 0.136994i
\(190\) 0.508178 + 52.9472i 0.0368671 + 3.84119i
\(191\) −3.96899 2.09806i −0.287186 0.151810i 0.317537 0.948246i \(-0.397144\pi\)
−0.604724 + 0.796435i \(0.706716\pi\)
\(192\) 14.4718 11.9690i 1.04441 0.863788i
\(193\) 10.1661 + 9.68962i 0.731774 + 0.697474i 0.961200 0.275852i \(-0.0889600\pi\)
−0.229427 + 0.973326i \(0.573685\pi\)
\(194\) −6.28262 + 22.5315i −0.451066 + 1.61767i
\(195\) 2.36318 + 0.954591i 0.169231 + 0.0683597i
\(196\) −1.25494 17.0244i −0.0896384 1.21603i
\(197\) 18.3444 4.92585i 1.30698 0.350952i 0.462540 0.886598i \(-0.346938\pi\)
0.844442 + 0.535646i \(0.179932\pi\)
\(198\) −2.30529 + 0.371930i −0.163830 + 0.0264319i
\(199\) 11.6544 18.0768i 0.826160 1.28143i −0.130858 0.991401i \(-0.541773\pi\)
0.957018 0.290028i \(-0.0936647\pi\)
\(200\) −16.8495 10.7870i −1.19144 0.762756i
\(201\) −13.1219 + 2.63739i −0.925547 + 0.186027i
\(202\) −12.3379 + 8.82005i −0.868089 + 0.620577i
\(203\) −4.13378 6.88585i −0.290134 0.483292i
\(204\) −2.15691 1.97820i −0.151014 0.138502i
\(205\) −9.53291 + 11.9092i −0.665807 + 0.831772i
\(206\) 6.13427 7.36886i 0.427395 0.513413i
\(207\) 4.14099 3.16524i 0.287819 0.219999i
\(208\) 0.434597 0.664712i 0.0301339 0.0460895i
\(209\) 6.57664 + 5.72890i 0.454916 + 0.396277i
\(210\) 11.6300 + 3.28302i 0.802549 + 0.226550i
\(211\) 0.921193 + 5.59582i 0.0634175 + 0.385232i 0.999445 + 0.0333060i \(0.0106036\pi\)
−0.936028 + 0.351926i \(0.885527\pi\)
\(212\) 23.3652 2.24940i 1.60473 0.154489i
\(213\) 5.70346 0.995225i 0.390795 0.0681917i
\(214\) 8.30580 + 4.87838i 0.567773 + 0.333479i
\(215\) 9.63704 0.431917i 0.657241 0.0294565i
\(216\) 5.40329 + 7.30837i 0.367647 + 0.497272i
\(217\) 1.13510 0.190594i 0.0770559 0.0129384i
\(218\) 25.9238 10.2793i 1.75578 0.696203i
\(219\) −9.45694 20.1774i −0.639040 1.36346i
\(220\) −16.4432 + 4.64173i −1.10860 + 0.312945i
\(221\) −0.258477 0.122155i −0.0173870 0.00821707i
\(222\) −6.39050 + 9.50634i −0.428902 + 0.638024i
\(223\) 12.8515 17.3827i 0.860602 1.16403i −0.124528 0.992216i \(-0.539742\pi\)
0.985129 0.171815i \(-0.0549631\pi\)
\(224\) 2.99896 5.89978i 0.200376 0.394196i
\(225\) −5.17999 + 7.19722i −0.345333 + 0.479815i
\(226\) −6.79084 + 6.90034i −0.451720 + 0.459004i
\(227\) 6.47419 + 10.9425i 0.429707 + 0.726277i 0.995135 0.0985208i \(-0.0314111\pi\)
−0.565428 + 0.824798i \(0.691289\pi\)
\(228\) 5.74662 23.4890i 0.380579 1.55560i
\(229\) 1.28588 5.90698i 0.0849736 0.390344i −0.914939 0.403593i \(-0.867761\pi\)
0.999912 + 0.0132489i \(0.00421736\pi\)
\(230\) 47.4420 45.8012i 3.12824 3.02004i
\(231\) 1.67647 1.07327i 0.110303 0.0706160i
\(232\) 0.0471761 14.7463i 0.00309726 0.968140i
\(233\) 2.10190 1.28943i 0.137700 0.0844737i −0.452349 0.891841i \(-0.649414\pi\)
0.590049 + 0.807367i \(0.299108\pi\)
\(234\) 0.509721 + 0.374335i 0.0333215 + 0.0244711i
\(235\) 26.0828 + 7.90642i 1.70145 + 0.515758i
\(236\) 9.16585 + 8.08808i 0.596646 + 0.526489i
\(237\) −2.57543 0.983263i −0.167292 0.0638698i
\(238\) −1.28119 0.442729i −0.0830472 0.0286978i
\(239\) 4.75330 + 5.86089i 0.307466 + 0.379109i 0.906922 0.421298i \(-0.138425\pi\)
−0.599457 + 0.800407i \(0.704617\pi\)
\(240\) −8.43462 9.02120i −0.544452 0.582316i
\(241\) 15.5598 + 0.0995584i 1.00229 + 0.00641312i 0.506684 0.862132i \(-0.330871\pi\)
0.495610 + 0.868545i \(0.334945\pi\)
\(242\) 8.32213 17.1805i 0.534967 1.10441i
\(243\) 6.08010 4.00308i 0.390039 0.256797i
\(244\) −4.35823 19.4217i −0.279007 1.24335i
\(245\) −25.6973 + 3.47376i −1.64174 + 0.221931i
\(246\) 9.61717 7.25402i 0.613168 0.462500i
\(247\) −0.143493 2.35778i −0.00913025 0.150022i
\(248\) 1.96453 + 0.778974i 0.124748 + 0.0494649i
\(249\) −10.9083 2.33809i −0.691286 0.148171i
\(250\) −32.5402 + 58.3562i −2.05802 + 3.69077i
\(251\) −6.31177 + 21.0646i −0.398395 + 1.32959i 0.490486 + 0.871449i \(0.336819\pi\)
−0.888881 + 0.458137i \(0.848517\pi\)
\(252\) 1.50090 + 0.868679i 0.0945476 + 0.0547216i
\(253\) −0.451624 10.8529i −0.0283934 0.682315i
\(254\) 25.0912 1.76889i 1.57436 0.110990i
\(255\) −2.80041 + 3.45294i −0.175368 + 0.216232i
\(256\) 1.17971 0.734138i 0.0737321 0.0458836i
\(257\) −22.8821 + 15.9194i −1.42735 + 0.993027i −0.431489 + 0.902118i \(0.642012\pi\)
−0.995859 + 0.0909086i \(0.971023\pi\)
\(258\) −7.45864 1.54884i −0.464354 0.0964266i
\(259\) −0.556409 + 3.01737i −0.0345735 + 0.187490i
\(260\) 4.01965 + 2.29225i 0.249288 + 0.142160i
\(261\) −6.52516 0.376169i −0.403897 0.0232843i
\(262\) 27.8229 27.2067i 1.71890 1.68083i
\(263\) −2.02831 8.29063i −0.125071 0.511222i −0.999653 0.0263441i \(-0.991613\pi\)
0.874582 0.484878i \(-0.161136\pi\)
\(264\) 3.65371 0.0935313i 0.224870 0.00575645i
\(265\) −5.56673 35.2199i −0.341962 2.16354i
\(266\) −1.88995 11.0394i −0.115880 0.676869i
\(267\) −4.21041 8.15346i −0.257673 0.498984i
\(268\) −24.2503 + 1.55374i −1.48132 + 0.0949098i
\(269\) −17.3355 19.5193i −1.05697 1.19011i −0.981201 0.192989i \(-0.938182\pi\)
−0.0757655 0.997126i \(-0.524140\pi\)
\(270\) 39.0664 32.7333i 2.37750 1.99208i
\(271\) 26.1892 0.502766i 1.59088 0.0305409i 0.783813 0.620997i \(-0.213272\pi\)
0.807070 + 0.590456i \(0.201052\pi\)
\(272\) 0.886306 + 1.06469i 0.0537402 + 0.0645561i
\(273\) −0.525644 0.119722i −0.0318134 0.00724591i
\(274\) 10.1918 1.98071i 0.615709 0.119659i
\(275\) 6.09163 + 17.4472i 0.367339 + 1.05211i
\(276\) −26.1610 + 14.9186i −1.57471 + 0.897996i
\(277\) −9.87488 + 4.90088i −0.593324 + 0.294466i −0.716132 0.697965i \(-0.754089\pi\)
0.122808 + 0.992430i \(0.460810\pi\)
\(278\) 3.73454 + 3.89318i 0.223983 + 0.233497i
\(279\) 0.392085 0.850677i 0.0234735 0.0509287i
\(280\) 5.45199 + 2.36633i 0.325819 + 0.141415i
\(281\) −0.900952 1.98809i −0.0537463 0.118599i 0.882031 0.471192i \(-0.156176\pi\)
−0.935777 + 0.352592i \(0.885300\pi\)
\(282\) −18.4171 11.1366i −1.09672 0.663175i
\(283\) 11.1020 + 8.82866i 0.659944 + 0.524809i 0.894372 0.447324i \(-0.147623\pi\)
−0.234428 + 0.972134i \(0.575322\pi\)
\(284\) 10.5037 0.403436i 0.623279 0.0239395i
\(285\) −36.1454 6.54577i −2.14107 0.387738i
\(286\) 1.24841 0.422480i 0.0738201 0.0249818i
\(287\) 1.58945 2.80806i 0.0938223 0.165755i
\(288\) −2.59290 4.72076i −0.152788 0.278173i
\(289\) −11.1146 + 12.1967i −0.653798 + 0.717454i
\(290\) −82.5551 + 4.75921i −4.84780 + 0.279470i
\(291\) −14.5356 7.21398i −0.852091 0.422891i
\(292\) −12.1074 38.6031i −0.708533 2.25907i
\(293\) −21.3509 + 5.58695i −1.24733 + 0.326393i −0.817191 0.576367i \(-0.804470\pi\)
−0.430143 + 0.902761i \(0.641537\pi\)
\(294\) 20.3414 + 2.35314i 1.18633 + 0.137238i
\(295\) 11.4177 14.6440i 0.664765 0.852608i
\(296\) −3.74094 + 4.21219i −0.217438 + 0.244829i
\(297\) 0.241692 8.39192i 0.0140244 0.486949i
\(298\) 23.8523 + 1.68155i 1.38173 + 0.0974094i
\(299\) −2.00913 + 2.14886i −0.116191 + 0.124272i
\(300\) 35.2311 37.2012i 2.03407 2.14781i
\(301\) −1.99787 + 0.414873i −0.115155 + 0.0239129i
\(302\) 0.270668 + 12.0845i 0.0155752 + 0.695383i
\(303\) −4.40415 9.55535i −0.253012 0.548941i
\(304\) −4.18499 + 10.6536i −0.240026 + 0.611028i
\(305\) −29.0459 + 8.40034i −1.66316 + 0.481002i
\(306\) −0.884930 + 0.658643i −0.0505881 + 0.0376521i
\(307\) −16.1656 + 16.0111i −0.922617 + 0.913804i −0.996511 0.0834619i \(-0.973402\pi\)
0.0738941 + 0.997266i \(0.476457\pi\)
\(308\) 3.27732 1.52328i 0.186743 0.0867968i
\(309\) 4.22279 + 5.13920i 0.240226 + 0.292359i
\(310\) 3.69093 11.2614i 0.209631 0.639602i
\(311\) 11.6129 7.75279i 0.658508 0.439620i −0.180621 0.983553i \(-0.557811\pi\)
0.839129 + 0.543933i \(0.183065\pi\)
\(312\) −0.712135 0.687505i −0.0403167 0.0389223i
\(313\) −3.92845 0.789586i −0.222049 0.0446300i 0.0847588 0.996401i \(-0.472988\pi\)
−0.306808 + 0.951771i \(0.599261\pi\)
\(314\) 47.1870 21.2022i 2.66291 1.19651i
\(315\) 1.17863 2.35589i 0.0664083 0.132739i
\(316\) −4.39456 2.39546i −0.247213 0.134755i
\(317\) 13.0700 6.59116i 0.734083 0.370197i −0.0434357 0.999056i \(-0.513830\pi\)
0.777519 + 0.628860i \(0.216478\pi\)
\(318\) −2.60859 + 28.0364i −0.146283 + 1.57220i
\(319\) −8.44392 + 10.6882i −0.472769 + 0.598424i
\(320\) −29.9861 42.2308i −1.67628 2.36077i
\(321\) −4.40537 + 5.02472i −0.245884 + 0.280452i
\(322\) −8.36386 + 11.1626i −0.466099 + 0.622070i
\(323\) 4.00546 + 0.966370i 0.222870 + 0.0537703i
\(324\) −15.6601 + 7.52387i −0.870005 + 0.417993i
\(325\) 2.21063 4.49025i 0.122623 0.249074i
\(326\) 1.84392 25.0145i 0.102125 1.38542i
\(327\) 3.63006 + 19.0030i 0.200743 + 1.05087i
\(328\) 5.16517 2.90187i 0.285199 0.160229i
\(329\) −5.71302 0.772286i −0.314969 0.0425775i
\(330\) −1.76814 20.4189i −0.0973331 1.12403i
\(331\) −13.1583 5.51210i −0.723246 0.302972i −0.00618282 0.999981i \(-0.501968\pi\)
−0.717063 + 0.697009i \(0.754514\pi\)
\(332\) −19.0575 6.85974i −1.04592 0.376477i
\(333\) 1.77407 + 1.75712i 0.0972184 + 0.0962898i
\(334\) 48.9477 + 6.93594i 2.67830 + 0.379518i
\(335\) 4.59361 + 36.6260i 0.250976 + 2.00109i
\(336\) 2.06526 + 1.59966i 0.112669 + 0.0872683i
\(337\) 6.73973 10.7535i 0.367137 0.585779i −0.611533 0.791219i \(-0.709447\pi\)
0.978670 + 0.205439i \(0.0658624\pi\)
\(338\) 24.9609 + 12.5877i 1.35769 + 0.684681i
\(339\) −3.81807 5.52561i −0.207369 0.300110i
\(340\) −5.87828 + 5.53141i −0.318795 + 0.299983i
\(341\) −0.983243 1.68637i −0.0532456 0.0913223i
\(342\) −8.28988 3.78878i −0.448265 0.204874i
\(343\) 11.1535 3.38094i 0.602233 0.182554i
\(344\) −3.53317 1.24629i −0.190496 0.0671953i
\(345\) 25.0344 + 38.2898i 1.34780 + 2.06145i
\(346\) −6.46720 + 46.7151i −0.347679 + 2.51142i
\(347\) 18.5580 + 8.19624i 0.996245 + 0.439997i 0.836977 0.547238i \(-0.184321\pi\)
0.159268 + 0.987235i \(0.449087\pi\)
\(348\) 37.0714 + 7.20457i 1.98723 + 0.386206i
\(349\) 1.52355 + 10.5097i 0.0815536 + 0.562571i 0.989616 + 0.143736i \(0.0459117\pi\)
−0.908062 + 0.418835i \(0.862439\pi\)
\(350\) 8.10842 22.3024i 0.433413 1.19211i
\(351\) −1.66580 + 1.54753i −0.0889139 + 0.0826009i
\(352\) −11.1582 1.21851i −0.594733 0.0649467i
\(353\) 16.0189 + 16.0702i 0.852599 + 0.855330i 0.990836 0.135069i \(-0.0431255\pi\)
−0.138238 + 0.990399i \(0.544144\pi\)
\(354\) −11.5928 + 8.97922i −0.616149 + 0.477240i
\(355\) −1.58096 15.8889i −0.0839088 0.843296i
\(356\) −5.59229 15.6937i −0.296391 0.831763i
\(357\) 0.468454 0.815397i 0.0247932 0.0431554i
\(358\) 19.9393 20.5218i 1.05382 1.08461i
\(359\) 20.8294 10.8408i 1.09933 0.572153i 0.187315 0.982300i \(-0.440021\pi\)
0.912020 + 0.410147i \(0.134522\pi\)
\(360\) 4.09010 2.58173i 0.215567 0.136069i
\(361\) 3.94804 + 14.5173i 0.207792 + 0.764070i
\(362\) 29.0068 4.11029i 1.52456 0.216032i
\(363\) 10.6239 + 7.90722i 0.557609 + 0.415022i
\(364\) −0.916617 0.343248i −0.0480438 0.0179911i
\(365\) −57.4145 + 21.9200i −3.00521 + 1.14735i
\(366\) 23.8645 0.763729i 1.24742 0.0399208i
\(367\) −2.71266 24.1251i −0.141600 1.25932i −0.839593 0.543216i \(-0.817206\pi\)
0.697993 0.716105i \(-0.254077\pi\)
\(368\) 13.2173 5.33906i 0.689001 0.278318i
\(369\) −1.15984 2.35588i −0.0603788 0.122642i
\(370\) 24.8512 + 19.5042i 1.29195 + 1.01398i
\(371\) 2.34904 + 7.16713i 0.121956 + 0.372099i
\(372\) −2.90350 + 4.56742i −0.150539 + 0.236810i
\(373\) 0.0365456 0.878220i 0.00189226 0.0454725i −0.997930 0.0643028i \(-0.979518\pi\)
0.999823 + 0.0188303i \(0.00599423\pi\)
\(374\) 0.0661842 + 2.29802i 0.00342230 + 0.118828i
\(375\) −35.5293 29.7696i −1.83473 1.53730i
\(376\) −8.24243 6.64118i −0.425071 0.342493i
\(377\) 3.66719 0.400469i 0.188870 0.0206252i
\(378\) −7.05510 + 8.15160i −0.362875 + 0.419273i
\(379\) 0.807477 + 0.250422i 0.0414773 + 0.0128633i 0.316879 0.948466i \(-0.397365\pi\)
−0.275402 + 0.961329i \(0.588811\pi\)
\(380\) −63.4405 20.5682i −3.25443 1.05513i
\(381\) −2.06073 + 17.3279i −0.105574 + 0.887734i
\(382\) 7.07747 6.74573i 0.362115 0.345142i
\(383\) −8.30666 15.5931i −0.424450 0.796771i 0.575326 0.817924i \(-0.304875\pi\)
−0.999776 + 0.0211531i \(0.993266\pi\)
\(384\) 6.54954 + 16.9917i 0.334230 + 0.867104i
\(385\) −2.61209 4.82866i −0.133124 0.246091i
\(386\) −27.0407 + 14.2940i −1.37633 + 0.727548i
\(387\) −0.636699 + 1.53366i −0.0323652 + 0.0779601i
\(388\) −24.3978 16.5146i −1.23861 0.838403i
\(389\) −4.27200 1.56865i −0.216599 0.0795339i 0.234090 0.972215i \(-0.424789\pi\)
−0.450689 + 0.892681i \(0.648822\pi\)
\(390\) −3.60557 + 4.22021i −0.182575 + 0.213699i
\(391\) −2.55627 4.44947i −0.129276 0.225020i
\(392\) 9.75902 + 2.48706i 0.492905 + 0.125616i
\(393\) 14.9175 + 22.5005i 0.752488 + 1.13500i
\(394\) −2.51290 + 41.2903i −0.126598 + 2.08018i
\(395\) −3.22659 + 6.88427i −0.162347 + 0.346385i
\(396\) 0.477742 2.90206i 0.0240074 0.145834i
\(397\) −0.0825104 + 1.22630i −0.00414108 + 0.0615463i −0.999340 0.0363271i \(-0.988434\pi\)
0.995199 + 0.0978734i \(0.0312040\pi\)
\(398\) 29.2721 + 36.5687i 1.46728 + 1.83302i
\(399\) 7.76847 + 0.149135i 0.388910 + 0.00746607i
\(400\) −18.8848 + 15.2160i −0.944239 + 0.760802i
\(401\) 3.62698 3.63860i 0.181123 0.181703i −0.611824 0.790994i \(-0.709564\pi\)
0.792947 + 0.609291i \(0.208546\pi\)
\(402\) 3.62745 28.9226i 0.180921 1.44253i
\(403\) −0.138737 + 0.510149i −0.00691097 + 0.0254123i
\(404\) −5.59991 18.2631i −0.278606 0.908622i
\(405\) 12.8531 + 23.0502i 0.638676 + 1.14538i
\(406\) 17.0790 3.77517i 0.847614 0.187358i
\(407\) 5.12045 0.927291i 0.253811 0.0459641i
\(408\) 1.51071 0.836067i 0.0747913 0.0413915i
\(409\) −12.3758 13.7565i −0.611944 0.680216i 0.355099 0.934829i \(-0.384447\pi\)
−0.967043 + 0.254613i \(0.918052\pi\)
\(410\) −18.0021 27.9224i −0.889058 1.37899i
\(411\) 0.0230428 + 7.20271i 0.00113662 + 0.355284i
\(412\) 6.34769 + 10.2735i 0.312728 + 0.506137i
\(413\) −1.89090 + 3.44266i −0.0930450 + 0.169402i
\(414\) 3.67312 + 10.7406i 0.180524 + 0.527873i
\(415\) −8.64247 + 29.5288i −0.424242 + 1.44951i
\(416\) 1.88447 + 2.38533i 0.0923937 + 0.116951i
\(417\) −3.13900 + 2.03802i −0.153718 + 0.0998021i
\(418\) −16.3790 + 9.62013i −0.801122 + 0.470536i
\(419\) −16.4816 + 13.9902i −0.805179 + 0.683467i −0.952135 0.305676i \(-0.901117\pi\)
0.146957 + 0.989143i \(0.453052\pi\)
\(420\) −8.57226 + 12.5773i −0.418284 + 0.613710i
\(421\) −3.64913 + 0.374885i −0.177848 + 0.0182708i −0.190710 0.981646i \(-0.561079\pi\)
0.0128620 + 0.999917i \(0.495906\pi\)
\(422\) −12.1933 1.96723i −0.593559 0.0957632i
\(423\) −3.13780 + 3.48787i −0.152565 + 0.169586i
\(424\) −3.11854 + 13.4926i −0.151450 + 0.655258i
\(425\) 6.35797 + 5.98280i 0.308407 + 0.290208i
\(426\) −1.88877 + 12.4667i −0.0915113 + 0.604016i
\(427\) 5.78240 2.73275i 0.279830 0.132247i
\(428\) −9.14821 + 7.96899i −0.442195 + 0.385195i
\(429\) 0.125382 + 0.905685i 0.00605350 + 0.0437269i
\(430\) −5.77225 + 20.2007i −0.278363 + 0.974163i
\(431\) −1.07366 5.43170i −0.0517164 0.261636i 0.946399 0.323000i \(-0.104691\pi\)
−0.998115 + 0.0613638i \(0.980455\pi\)
\(432\) 10.4805 3.39791i 0.504244 0.163482i
\(433\) 38.2971 0.490103i 1.84044 0.0235529i 0.915214 0.402968i \(-0.132022\pi\)
0.925226 + 0.379415i \(0.123875\pi\)
\(434\) −0.391343 + 2.47597i −0.0187850 + 0.118850i
\(435\) 7.50304 56.8741i 0.359743 2.72690i
\(436\) 1.90936 + 35.0730i 0.0914420 + 1.67969i
\(437\) 22.0550 36.2112i 1.05503 1.73221i
\(438\) 48.2091 5.57694i 2.30352 0.266477i
\(439\) −0.874946 + 0.340471i −0.0417589 + 0.0162498i −0.383433 0.923568i \(-0.625258\pi\)
0.341675 + 0.939818i \(0.389006\pi\)
\(440\) 0.483527 10.0683i 0.0230513 0.479989i
\(441\) 1.33584 4.25915i 0.0636112 0.202817i
\(442\) 0.431012 0.449321i 0.0205012 0.0213720i
\(443\) −9.97343 25.3891i −0.473852 1.20627i −0.945830 0.324664i \(-0.894749\pi\)
0.471978 0.881611i \(-0.343540\pi\)
\(444\) −8.79811 11.4343i −0.417540 0.542649i
\(445\) −23.2794 + 9.92746i −1.10355 + 0.470607i
\(446\) 27.0109 + 38.5609i 1.27900 + 1.82591i
\(447\) −4.25065 + 16.0345i −0.201049 + 0.758407i
\(448\) 7.68455 + 7.80846i 0.363061 + 0.368915i
\(449\) −33.8138 + 5.23366i −1.59577 + 0.246992i −0.888134 0.459585i \(-0.847998\pi\)
−0.707637 + 0.706577i \(0.750239\pi\)
\(450\) −11.2813 15.6745i −0.531805 0.738904i
\(451\) −5.40807 0.837056i −0.254656 0.0394154i
\(452\) −5.52554 10.8703i −0.259899 0.511294i
\(453\) −8.26982 1.38858i −0.388550 0.0652410i
\(454\) −27.0749 + 5.80326i −1.27069 + 0.272360i
\(455\) −0.435864 + 1.42149i −0.0204336 + 0.0666405i
\(456\) 12.0639 + 7.61493i 0.564946 + 0.356602i
\(457\) 12.6446 + 1.05419i 0.591490 + 0.0493131i 0.375085 0.926991i \(-0.377614\pi\)
0.216405 + 0.976304i \(0.430567\pi\)
\(458\) 11.3096 + 6.74036i 0.528464 + 0.314956i
\(459\) −1.72899 3.56940i −0.0807025 0.166605i
\(460\) 35.7290 + 74.9794i 1.66587 + 3.49593i
\(461\) −6.50694 + 16.2581i −0.303058 + 0.757216i 0.696168 + 0.717879i \(0.254887\pi\)
−0.999226 + 0.0393368i \(0.987475\pi\)
\(462\) 1.05716 + 4.20435i 0.0491834 + 0.195604i
\(463\) −0.630172 + 0.563285i −0.0292866 + 0.0261781i −0.680947 0.732333i \(-0.738431\pi\)
0.651660 + 0.758511i \(0.274073\pi\)
\(464\) −16.9323 5.73012i −0.786061 0.266014i
\(465\) 7.19326 + 3.98094i 0.333579 + 0.184612i
\(466\) 1.20937 + 5.23243i 0.0560231 + 0.242387i
\(467\) 11.6664 20.0092i 0.539856 0.925915i −0.459433 0.888212i \(-0.651947\pi\)
0.999289 0.0377021i \(-0.0120038\pi\)
\(468\) −0.650938 + 0.459075i −0.0300896 + 0.0212208i
\(469\) −2.19320 7.49355i −0.101273 0.346020i
\(470\) −34.3648 + 48.3975i −1.58513 + 2.23241i
\(471\) 8.30535 + 34.9140i 0.382690 + 1.60875i
\(472\) −6.24171 + 3.61253i −0.287298 + 0.166280i
\(473\) 1.85656 + 2.92052i 0.0853649 + 0.134286i
\(474\) 3.81156 4.63872i 0.175071 0.213064i
\(475\) −18.0373 + 69.8422i −0.827606 + 3.20458i
\(476\) 1.04116 1.35312i 0.0477213 0.0620203i
\(477\) 5.89631 + 1.70527i 0.269974 + 0.0780788i
\(478\) −15.3907 + 5.76338i −0.703953 + 0.263611i
\(479\) −6.17088 + 5.44528i −0.281955 + 0.248801i −0.790825 0.612042i \(-0.790348\pi\)
0.508870 + 0.860843i \(0.330063\pi\)
\(480\) 42.9954 19.6504i 1.96246 0.896915i
\(481\) −1.15171 0.812243i −0.0525133 0.0370351i
\(482\) −10.9655 + 32.0645i −0.499466 + 1.46050i
\(483\) −6.51773 7.15231i −0.296567 0.325442i
\(484\) 17.1912 + 16.8105i 0.781420 + 0.764114i
\(485\) −22.7888 + 38.5170i −1.03479 + 1.74896i
\(486\) 4.06245 + 15.3246i 0.184276 + 0.695137i
\(487\) −15.9480 + 18.9103i −0.722671 + 0.856906i −0.994423 0.105461i \(-0.966368\pi\)
0.271753 + 0.962367i \(0.412397\pi\)
\(488\) 11.6815 + 1.20007i 0.528796 + 0.0543247i
\(489\) 16.8053 + 4.51258i 0.759963 + 0.204066i
\(490\) 10.5964 55.4712i 0.478697 2.50593i
\(491\) −1.39060 4.15287i −0.0627568 0.187416i 0.912230 0.409678i \(-0.134359\pi\)
−0.974987 + 0.222261i \(0.928656\pi\)
\(492\) 4.81763 + 14.3873i 0.217195 + 0.648630i
\(493\) −1.20739 + 6.32057i −0.0543781 + 0.284664i
\(494\) 4.96842 + 1.33412i 0.223540 + 0.0600251i
\(495\) −4.44432 0.456578i −0.199757 0.0205216i
\(496\) 1.65156 1.95834i 0.0741573 0.0879320i
\(497\) 0.865449 + 3.26469i 0.0388207 + 0.146441i
\(498\) 12.3719 20.9105i 0.554396 0.937022i
\(499\) −14.4985 14.1774i −0.649043 0.634669i 0.298457 0.954423i \(-0.403528\pi\)
−0.947501 + 0.319754i \(0.896400\pi\)
\(500\) −56.6837 62.2026i −2.53497 2.78178i
\(501\) −11.0977 + 32.4511i −0.495810 + 1.44981i
\(502\) −39.1370 27.6014i −1.74677 1.23191i
\(503\) −13.9029 + 6.35413i −0.619900 + 0.283317i −0.700747 0.713410i \(-0.747150\pi\)
0.0808472 + 0.996727i \(0.474237\pi\)
\(504\) −0.767122 + 0.676920i −0.0341703 + 0.0301524i
\(505\) −27.1746 + 10.1761i −1.20925 + 0.452831i
\(506\) 22.7252 + 6.57233i 1.01026 + 0.292176i
\(507\) −11.8266 + 15.3703i −0.525238 + 0.682618i
\(508\) −7.92204 + 30.6750i −0.351484 + 1.36098i
\(509\) −5.54440 + 6.74762i −0.245751 + 0.299083i −0.880896 0.473311i \(-0.843059\pi\)
0.635144 + 0.772394i \(0.280941\pi\)
\(510\) −5.19432 8.17106i −0.230008 0.361821i
\(511\) 11.2509 6.51171i 0.497710 0.288061i
\(512\) −4.87830 20.5074i −0.215592 0.906306i
\(513\) 18.9722 26.7194i 0.837642 1.17969i
\(514\) −17.0526 58.2638i −0.752158 2.56991i
\(515\) 14.9913 10.5727i 0.660597 0.465887i
\(516\) 4.83278 8.28876i 0.212751 0.364892i
\(517\) 2.20181 + 9.52626i 0.0968353 + 0.418964i
\(518\) −5.84658 3.23565i −0.256884 0.142166i
\(519\) −30.9907 10.4877i −1.36034 0.460359i
\(520\) −2.03534 + 1.81931i −0.0892555 + 0.0797820i
\(521\) 7.74967 + 30.8207i 0.339519 + 1.35028i 0.865979 + 0.500081i \(0.166696\pi\)
−0.526459 + 0.850200i \(0.676481\pi\)
\(522\) 5.28914 13.2153i 0.231499 0.578420i
\(523\) 15.6914 + 32.9294i 0.686138 + 1.43990i 0.887699 + 0.460424i \(0.152303\pi\)
−0.201561 + 0.979476i \(0.564602\pi\)
\(524\) 21.3670 + 44.1109i 0.933422 + 1.92699i
\(525\) 14.1418 + 8.42829i 0.617198 + 0.367841i
\(526\) 18.5241 + 1.54437i 0.807688 + 0.0673377i
\(527\) −0.779833 0.492241i −0.0339700 0.0214424i
\(528\) 1.29881 4.23583i 0.0565235 0.184341i
\(529\) −29.1415 + 6.24620i −1.26702 + 0.271574i
\(530\) 76.5840 + 12.8592i 3.32660 + 0.558566i
\(531\) 1.44842 + 2.84945i 0.0628563 + 0.123656i
\(532\) 13.9407 + 2.15773i 0.604407 + 0.0935495i
\(533\) 0.865774 + 1.20293i 0.0375008 + 0.0521047i
\(534\) 19.7497 3.05685i 0.854655 0.132283i
\(535\) 12.9271 + 13.1356i 0.558888 + 0.567900i
\(536\) 3.67351 13.8574i 0.158671 0.598548i
\(537\) 11.3885 + 16.2583i 0.491449 + 0.701597i
\(538\) 52.2984 22.3025i 2.25474 0.961530i
\(539\) −5.67286 7.37264i −0.244347 0.317562i
\(540\) 23.4711 + 59.7498i 1.01003 + 2.57122i
\(541\) −5.90987 + 6.16091i −0.254085 + 0.264878i −0.836443 0.548054i \(-0.815369\pi\)
0.582358 + 0.812933i \(0.302130\pi\)
\(542\) −17.0721 + 54.4325i −0.733311 + 2.33808i
\(543\) −0.974936 + 20.3008i −0.0418385 + 0.871190i
\(544\) −4.94167 + 1.92297i −0.211872 + 0.0824468i
\(545\) 53.0031 6.13152i 2.27040 0.262645i
\(546\) 0.610739 1.00275i 0.0261372 0.0429136i
\(547\) −2.06186 37.8742i −0.0881589 1.61939i −0.628411 0.777882i \(-0.716294\pi\)
0.540252 0.841504i \(-0.318329\pi\)
\(548\) −1.71035 + 12.9647i −0.0730625 + 0.553824i
\(549\) 0.812567 5.14099i 0.0346795 0.219412i
\(550\) −40.2437 + 0.515016i −1.71600 + 0.0219603i
\(551\) −50.5762 + 16.3974i −2.15462 + 0.698554i
\(552\) −3.44528 17.4299i −0.146641 0.741864i
\(553\) 0.441846 1.54629i 0.0187892 0.0657551i
\(554\) −3.29239 23.7822i −0.139880 1.01041i
\(555\) −16.5254 + 14.3952i −0.701463 + 0.611043i
\(556\) −6.14335 + 2.90333i −0.260536 + 0.123129i
\(557\) −4.95420 + 32.6999i −0.209916 + 1.38554i 0.600471 + 0.799646i \(0.294980\pi\)
−0.810387 + 0.585894i \(0.800743\pi\)
\(558\) 1.48565 + 1.39798i 0.0628924 + 0.0591812i
\(559\) 0.211061 0.913171i 0.00892695 0.0386230i
\(560\) 4.81852 5.35610i 0.203620 0.226336i
\(561\) −1.57453 0.254030i −0.0664766 0.0107252i
\(562\) 4.72874 0.485797i 0.199470 0.0204921i
\(563\) −9.06852 + 13.3054i −0.382193 + 0.560757i −0.968399 0.249404i \(-0.919765\pi\)
0.586207 + 0.810161i \(0.300621\pi\)
\(564\) 20.6665 17.5425i 0.870215 0.738672i
\(565\) −15.9721 + 9.38115i −0.671951 + 0.394668i
\(566\) −25.9098 + 16.8221i −1.08907 + 0.707086i
\(567\) −3.46059 4.38036i −0.145331 0.183958i
\(568\) −1.74192 + 5.95164i −0.0730894 + 0.249725i
\(569\) −6.64948 19.4439i −0.278761 0.815129i −0.993303 0.115537i \(-0.963141\pi\)
0.714543 0.699592i \(-0.246635\pi\)
\(570\) 38.5133 70.1193i 1.61315 2.93697i
\(571\) −19.2157 31.0997i −0.804150 1.30148i −0.950024 0.312178i \(-0.898941\pi\)
0.145874 0.989303i \(-0.453401\pi\)
\(572\) 0.00531064 + 1.66000i 0.000222049 + 0.0694079i
\(573\) 3.67541 + 5.70080i 0.153542 + 0.238154i
\(574\) 4.69995 + 5.22430i 0.196172 + 0.218058i
\(575\) 78.6008 43.4998i 3.27788 1.81407i
\(576\) 8.77302 1.58875i 0.365542 0.0661981i
\(577\) 11.2503 2.48679i 0.468357 0.103527i 0.0246452 0.999696i \(-0.492154\pi\)
0.443711 + 0.896170i \(0.353662\pi\)
\(578\) −17.5021 31.3876i −0.727993 1.30555i
\(579\) −6.22039 20.2867i −0.258511 0.843085i
\(580\) 27.3320 100.503i 1.13490 4.17314i
\(581\) 0.809888 6.45744i 0.0335998 0.267900i
\(582\) 24.9497 25.0296i 1.03420 1.03751i
\(583\) 9.96070 8.02565i 0.412530 0.332388i
\(584\) 23.8637 + 0.458122i 0.987488 + 0.0189572i
\(585\) 0.756138 + 0.944619i 0.0312624 + 0.0390552i
\(586\) 3.22670 47.9565i 0.133294 1.98106i
\(587\) 4.70909 28.6055i 0.194365 1.18068i −0.693460 0.720495i \(-0.743915\pi\)
0.887825 0.460182i \(-0.152216\pi\)
\(588\) −10.9456 + 23.3536i −0.451389 + 0.963085i
\(589\) 0.462868 7.60553i 0.0190721 0.313380i
\(590\) 22.3466 + 33.7060i 0.919994 + 1.38765i
\(591\) −27.8089 7.08703i −1.14391 0.291522i
\(592\) 3.40190 + 5.92139i 0.139817 + 0.243368i
\(593\) 13.3987 15.6828i 0.550218 0.644014i −0.413637 0.910442i \(-0.635742\pi\)
0.963855 + 0.266428i \(0.0858435\pi\)
\(594\) 17.1635 + 6.30233i 0.704226 + 0.258588i
\(595\) −2.14774 1.45378i −0.0880488 0.0595994i
\(596\) −11.5476 + 27.8154i −0.473007 + 1.13936i
\(597\) −28.7289 + 15.1865i −1.17580 + 0.621541i
\(598\) −3.04837 5.63515i −0.124657 0.230439i
\(599\) 2.03743 + 5.28576i 0.0832469 + 0.215970i 0.968437 0.249260i \(-0.0801874\pi\)
−0.885190 + 0.465230i \(0.845971\pi\)
\(600\) 14.2117 + 26.6781i 0.580192 + 1.08913i
\(601\) 18.7611 17.8818i 0.765282 0.729412i −0.203025 0.979174i \(-0.565077\pi\)
0.968307 + 0.249762i \(0.0803523\pi\)
\(602\) 0.524796 4.41281i 0.0213891 0.179853i
\(603\) −6.04439 1.95967i −0.246147 0.0798038i
\(604\) −14.5413 4.50966i −0.591676 0.183496i
\(605\) 23.9025 27.6174i 0.971774 1.12281i
\(606\) 22.7788 2.48752i 0.925328 0.101049i
\(607\) −9.96780 8.03137i −0.404581 0.325983i 0.403581 0.914944i \(-0.367765\pi\)
−0.808162 + 0.588961i \(0.799537\pi\)
\(608\) −33.5826 28.1385i −1.36196 1.14117i
\(609\) 0.349332 + 12.1293i 0.0141556 + 0.491505i
\(610\) 2.73788 65.7933i 0.110853 2.66389i
\(611\) 1.42058 2.23468i 0.0574705 0.0904055i
\(612\) −0.432738 1.32032i −0.0174924 0.0533709i
\(613\) 11.6230 + 9.12220i 0.469448 + 0.368442i 0.823996 0.566596i \(-0.191740\pi\)
−0.354548 + 0.935038i \(0.615365\pi\)
\(614\) −21.8867 44.4564i −0.883274 1.79412i
\(615\) 21.3701 8.63233i 0.861727 0.348089i
\(616\) 0.238239 + 2.11878i 0.00959891 + 0.0853681i
\(617\) 45.6909 1.46223i 1.83945 0.0588673i 0.907203 0.420694i \(-0.138213\pi\)
0.932245 + 0.361827i \(0.117847\pi\)
\(618\) −13.5334 + 5.16686i −0.544393 + 0.207841i
\(619\) 25.4700 + 9.53781i 1.02373 + 0.383357i 0.805534 0.592549i \(-0.201878\pi\)
0.218192 + 0.975906i \(0.429984\pi\)
\(620\) 11.9738 + 8.91199i 0.480881 + 0.357914i
\(621\) −40.4078 + 5.72583i −1.62151 + 0.229770i
\(622\) 7.98012 + 29.3437i 0.319974 + 1.17658i
\(623\) 4.52679 2.85737i 0.181362 0.114478i
\(624\) −1.06437 + 0.553956i −0.0426089 + 0.0221760i
\(625\) −46.0087 + 47.3528i −1.84035 + 1.89411i
\(626\) 4.34723 7.56684i 0.173750 0.302432i
\(627\) −4.42332 12.4132i −0.176650 0.495735i
\(628\) 6.45134 + 64.8369i 0.257436 + 2.58728i
\(629\) 1.94352 1.50536i 0.0774931 0.0600225i
\(630\) 4.05022 + 4.06320i 0.161365 + 0.161882i
\(631\) 45.6034 + 4.98003i 1.81544 + 0.198252i 0.951980 0.306159i \(-0.0990440\pi\)
0.863464 + 0.504411i \(0.168290\pi\)
\(632\) 2.16331 2.00971i 0.0860518 0.0799420i
\(633\) 2.92769 8.05266i 0.116365 0.320064i
\(634\) 4.57360 + 31.5495i 0.181641 + 1.25299i
\(635\) 47.2418 + 9.18114i 1.87473 + 0.364342i
\(636\) −32.4418 14.3281i −1.28640 0.568147i
\(637\) −0.345486 + 2.49558i −0.0136886 + 0.0988785i
\(638\) −16.2336 24.8291i −0.642695 0.982994i
\(639\) 2.59206 + 0.914322i 0.102540 + 0.0361700i
\(640\) 48.0629 14.5692i 1.89985 0.575899i
\(641\) −19.2889 8.81573i −0.761866 0.348201i −0.00346990 0.999994i \(-0.501105\pi\)
−0.758397 + 0.651793i \(0.774017\pi\)
\(642\) −7.33041 12.5725i −0.289308 0.496196i
\(643\) 15.3028 14.3998i 0.603484 0.567873i −0.321962 0.946753i \(-0.604342\pi\)
0.925446 + 0.378880i \(0.123691\pi\)
\(644\) −9.98711 14.4536i −0.393547 0.569552i
\(645\) −13.0138 6.56281i −0.512416 0.258410i
\(646\) −4.76557 + 7.60363i −0.187499 + 0.299161i
\(647\) −22.6783 17.5655i −0.891576 0.690573i 0.0599303 0.998203i \(-0.480912\pi\)
−0.951506 + 0.307630i \(0.900464\pi\)
\(648\) −1.27553 10.1701i −0.0501076 0.399521i
\(649\) 6.59561 + 0.934604i 0.258900 + 0.0366864i
\(650\) 7.74436 + 7.67039i 0.303759 + 0.300857i
\(651\) −1.63623 0.588961i −0.0641289 0.0230832i
\(652\) 29.1385 + 12.2063i 1.14115 + 0.478036i
\(653\) 3.30926 + 38.2161i 0.129501 + 1.49551i 0.723096 + 0.690747i \(0.242718\pi\)
−0.593595 + 0.804764i \(0.702292\pi\)
\(654\) −41.7545 5.64437i −1.63273 0.220712i
\(655\) 64.9112 36.4681i 2.53629 1.42492i
\(656\) −1.34752 7.05416i −0.0526120 0.275419i
\(657\) 0.777714 10.5504i 0.0303415 0.411610i
\(658\) 5.54557 11.2642i 0.216189 0.439125i
\(659\) 8.06809 3.87630i 0.314288 0.150999i −0.269284 0.963061i \(-0.586787\pi\)
0.583572 + 0.812061i \(0.301655\pi\)
\(660\) 25.0944 + 6.05436i 0.976798 + 0.235666i
\(661\) −2.81663 + 3.75916i −0.109554 + 0.146214i −0.851711 0.524013i \(-0.824435\pi\)
0.742156 + 0.670227i \(0.233803\pi\)
\(662\) 20.4826 23.3622i 0.796078 0.907998i
\(663\) 0.250072 + 0.352187i 0.00971198 + 0.0136778i
\(664\) 7.40751 9.37632i 0.287467 0.363872i
\(665\) 1.98523 21.3366i 0.0769840 0.827400i
\(666\) −4.85554 + 2.44864i −0.188148 + 0.0948829i
\(667\) 58.1386 + 31.6912i 2.25113 + 1.22709i
\(668\) −27.8596 + 55.6866i −1.07792 + 2.15458i
\(669\) −29.7921 + 13.3863i −1.15183 + 0.517544i
\(670\) −78.8150 15.8412i −3.04489 0.611997i
\(671\) −7.80373 7.53383i −0.301260 0.290840i
\(672\) −8.31633 + 5.55199i −0.320809 + 0.214172i
\(673\) −7.43230 + 22.6766i −0.286494 + 0.874119i 0.700541 + 0.713612i \(0.252942\pi\)
−0.987035 + 0.160507i \(0.948687\pi\)
\(674\) 17.5469 + 21.3549i 0.675883 + 0.822559i
\(675\) 62.9641 29.2653i 2.42349 1.12642i
\(676\) −25.0167 + 24.7777i −0.962179 + 0.952988i
\(677\) 35.1539 26.1646i 1.35107 1.00559i 0.353540 0.935420i \(-0.384978\pi\)
0.997535 0.0701696i \(-0.0223541\pi\)
\(678\) 14.0515 4.06383i 0.539646 0.156070i
\(679\) 3.46114 8.81095i 0.132826 0.338133i
\(680\) −1.99328 4.32466i −0.0764387 0.165843i
\(681\) −0.430148 19.2048i −0.0164833 0.735929i
\(682\) 4.16256 0.864386i 0.159393 0.0330990i
\(683\) −32.3018 + 34.1082i −1.23600 + 1.30511i −0.299643 + 0.954052i \(0.596867\pi\)
−0.936353 + 0.351061i \(0.885821\pi\)
\(684\) 7.84047 8.38574i 0.299788 0.320637i
\(685\) 19.8155 + 1.39696i 0.757110 + 0.0533750i
\(686\) −0.730720 + 25.3717i −0.0278990 + 0.968697i
\(687\) −6.06516 + 6.82920i −0.231400 + 0.260550i
\(688\) −2.79250 + 3.58158i −0.106463 + 0.136546i
\(689\) −3.44138 0.398107i −0.131106 0.0151667i
\(690\) −96.3861 + 25.2216i −3.66936 + 0.960171i
\(691\) −11.3152 36.0771i −0.430450 1.37244i −0.878206 0.478283i \(-0.841259\pi\)
0.447756 0.894156i \(-0.352223\pi\)
\(692\) −53.2076 26.4068i −2.02265 1.00384i
\(693\) 0.943454 0.0543891i 0.0358388 0.00206607i
\(694\) −29.7598 + 32.6572i −1.12966 + 1.23965i
\(695\) 4.96906 + 9.04691i 0.188487 + 0.343169i
\(696\) −10.9749 + 19.3892i −0.416002 + 0.734946i
\(697\) −2.44885 + 0.828725i −0.0927568 + 0.0313902i
\(698\) −22.7577 4.12132i −0.861393 0.155994i
\(699\) −3.72290 + 0.142993i −0.140813 + 0.00540848i
\(700\) 23.3939 + 18.6036i 0.884208 + 0.703151i
\(701\) −2.35523 1.42418i −0.0889558 0.0537906i 0.472266 0.881456i \(-0.343436\pi\)
−0.561222 + 0.827666i \(0.689668\pi\)
\(702\) −2.04395 4.51029i −0.0771438 0.170230i
\(703\) 18.6325 + 8.08708i 0.702738 + 0.305010i
\(704\) 7.77760 16.8745i 0.293129 0.635981i
\(705\) −28.5058 29.7166i −1.07359 1.11919i
\(706\) −44.2649 + 21.9686i −1.66593 + 0.826798i
\(707\) 5.33180 3.04053i 0.200523 0.114351i
\(708\) −6.08800 17.4368i −0.228801 0.655316i
\(709\) 0.0483761 0.00940158i 0.00181680 0.000353084i −0.189866 0.981810i \(-0.560805\pi\)
0.191682 + 0.981457i \(0.438606\pi\)
\(710\) 33.9064 + 7.72260i 1.27248 + 0.289824i
\(711\) −0.837322 1.00584i −0.0314020 0.0377220i
\(712\) 9.82709 0.188655i 0.368286 0.00707014i
\(713\) −7.27364 + 6.09450i −0.272400 + 0.228241i
\(714\) 1.35998 + 1.53130i 0.0508958 + 0.0573073i
\(715\) 2.51647 0.161233i 0.0941107 0.00602977i
\(716\) 16.5358 + 32.0216i 0.617973 + 1.19671i
\(717\) −1.92390 11.2377i −0.0718492 0.419680i
\(718\) 7.98385 + 50.5126i 0.297955 + 1.88511i
\(719\) −25.0172 + 0.640414i −0.932982 + 0.0238834i −0.489125 0.872214i \(-0.662684\pi\)
−0.443858 + 0.896097i \(0.646390\pi\)
\(720\) −1.39333 5.69517i −0.0519264 0.212246i
\(721\) −2.77432 + 2.71287i −0.103321 + 0.101033i
\(722\) −32.7107 1.88574i −1.21737 0.0701799i
\(723\) −20.4220 11.6459i −0.759503 0.433116i
\(724\) −6.69155 + 36.2879i −0.248690 + 1.34863i
\(725\) −110.299 22.9044i −4.09641 0.850649i
\(726\) −23.6763 + 16.4719i −0.878709 + 0.611331i
\(727\) −25.5692 + 15.9118i −0.948308 + 0.590134i −0.912435 0.409222i \(-0.865800\pi\)
−0.0358734 + 0.999356i \(0.511421\pi\)
\(728\) 0.363729 0.448483i 0.0134807 0.0166219i
\(729\) −29.9253 + 2.10968i −1.10834 + 0.0781364i
\(730\) −5.56486 133.728i −0.205965 4.94949i
\(731\) 1.41497 + 0.818946i 0.0523345 + 0.0302898i
\(732\) −8.63197 + 28.8079i −0.319047 + 1.06477i
\(733\) 22.1174 39.6644i 0.816924 1.46504i −0.0671758 0.997741i \(-0.521399\pi\)
0.884100 0.467297i \(-0.154772\pi\)
\(734\) 51.6980 + 11.0810i 1.90821 + 0.409006i
\(735\) 36.4198 + 14.4412i 1.34336 + 0.532671i
\(736\) 3.31462 + 54.4635i 0.122178 + 2.00755i
\(737\) −10.5720 + 7.97423i −0.389424 + 0.293735i
\(738\) 5.66731 0.766107i 0.208617 0.0282008i
\(739\) −2.37743 10.5946i −0.0874552 0.389729i 0.912351 0.409409i \(-0.134265\pi\)
−0.999806 + 0.0196795i \(0.993735\pi\)
\(740\) −33.2335 + 21.8806i −1.22169 + 0.804346i
\(741\) −1.55583 + 3.21191i −0.0571548 + 0.117993i
\(742\) −16.4257 0.105099i −0.603005 0.00385829i
\(743\) −31.7317 33.9385i −1.16412 1.24508i −0.964173 0.265275i \(-0.914537\pi\)
−0.199949 0.979806i \(-0.564078\pi\)
\(744\) −2.01125 2.47990i −0.0737360 0.0909175i
\(745\) 43.2405 + 14.9422i 1.58421 + 0.547441i
\(746\) 1.78839 + 0.682780i 0.0654775 + 0.0249984i
\(747\) −3.97123 3.50427i −0.145300 0.128215i
\(748\) −2.77110 0.839998i −0.101321 0.0307134i
\(749\) −3.14201 2.30747i −0.114807 0.0843130i
\(750\) 86.0482 52.7873i 3.14204 1.92752i
\(751\) −0.0548659 + 17.1499i −0.00200208 + 0.625810i 0.948778 + 0.315943i \(0.102321\pi\)
−0.950780 + 0.309866i \(0.899716\pi\)
\(752\) −10.8064 + 6.91823i −0.394069 + 0.252282i
\(753\) 23.9025 23.0758i 0.871057 0.840930i
\(754\) −1.70891 + 7.85026i −0.0622350 + 0.285890i
\(755\) −5.49592 + 22.4643i −0.200017 + 0.817559i
\(756\) −6.91428 11.6863i −0.251470 0.425026i
\(757\) −6.20619 + 6.30627i −0.225568 + 0.229205i −0.816250 0.577700i \(-0.803951\pi\)
0.590682 + 0.806905i \(0.298859\pi\)
\(758\) −1.07555 + 1.49439i −0.0390656 + 0.0542788i
\(759\) −7.43661 + 14.6299i −0.269932 + 0.531031i
\(760\) 23.3905 31.6375i 0.848463 1.14761i
\(761\) 7.14532 10.6292i 0.259018 0.385308i −0.677731 0.735310i \(-0.737037\pi\)
0.936749 + 0.350001i \(0.113819\pi\)
\(762\) −34.3597 16.2383i −1.24472 0.588252i
\(763\) −10.8616 + 3.06611i −0.393217 + 0.111001i
\(764\) 5.22625 + 11.1508i 0.189079 + 0.403420i
\(765\) −1.96200 + 0.777973i −0.0709363 + 0.0281277i
\(766\) 37.9464 6.37155i 1.37106 0.230214i
\(767\) −1.07254 1.45069i −0.0387270 0.0523814i
\(768\) −2.09723 + 0.0939947i −0.0756773 + 0.00339174i
\(769\) −15.6485 9.19112i −0.564301 0.331440i 0.196419 0.980520i \(-0.437069\pi\)
−0.760720 + 0.649080i \(0.775154\pi\)
\(770\) 11.7782