Properties

Label 983.2.c.a.2.20
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 2.20
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +O(q^{10})\) \(q+(-0.529551 + 1.58145i) q^{2} +(0.208046 + 0.116883i) q^{3} +(-0.623831 - 0.470542i) q^{4} +(-1.17513 + 1.77249i) q^{5} +(-0.295015 + 0.267117i) q^{6} +(1.73067 - 3.81900i) q^{7} +(-1.67570 + 1.14996i) q^{8} +(-1.53091 - 2.51354i) q^{9} +(-2.18080 - 2.79703i) q^{10} +(3.15193 + 0.201947i) q^{11} +(-0.0747869 - 0.170810i) q^{12} +(-2.17070 - 2.50807i) q^{13} +(5.12306 + 4.75932i) q^{14} +(-0.451654 + 0.231405i) q^{15} +(-1.36061 - 4.76163i) q^{16} +(5.91252 - 2.61130i) q^{17} +(4.78572 - 1.09001i) q^{18} +(5.91835 + 4.52379i) q^{19} +(1.56711 - 0.552782i) q^{20} +(0.806435 - 0.592240i) q^{21} +(-1.98847 + 4.87766i) q^{22} +(0.565087 + 5.33268i) q^{23} +(-0.483033 + 0.0433847i) q^{24} +(0.185848 + 0.439699i) q^{25} +(5.11587 - 2.10470i) q^{26} +(-0.0498974 - 1.41732i) q^{27} +(-2.87665 + 1.56805i) q^{28} +(-0.823802 + 1.19223i) q^{29} +(-0.126780 - 0.836807i) q^{30} +(-1.30776 - 1.94539i) q^{31} +(4.19018 + 0.187798i) q^{32} +(0.632141 + 0.410421i) q^{33} +(0.998646 + 10.7331i) q^{34} +(4.73535 + 7.55542i) q^{35} +(-0.227696 + 2.28838i) q^{36} +(9.54053 - 2.36648i) q^{37} +(-10.2882 + 6.96397i) q^{38} +(-0.158454 - 0.775511i) q^{39} +(-0.0691322 - 4.32151i) q^{40} +(1.12782 + 0.101298i) q^{41} +(0.509547 + 1.58895i) q^{42} +(-3.10063 - 4.25047i) q^{43} +(-1.87124 - 1.60910i) q^{44} +(6.25424 + 0.240219i) q^{45} +(-8.73259 - 1.93027i) q^{46} +(0.860180 + 2.87073i) q^{47} +(0.273484 - 1.14967i) q^{48} +(-6.97481 - 7.95539i) q^{49} +(-0.793775 + 0.0610663i) q^{50} +(1.53529 + 0.147804i) q^{51} +(0.173998 + 2.58602i) q^{52} +(3.06551 - 2.81153i) q^{53} +(2.26783 + 0.671631i) q^{54} +(-4.06188 + 5.34943i) q^{55} +(1.49163 + 8.38970i) q^{56} +(0.702533 + 1.63291i) q^{57} +(-1.44920 - 1.93414i) q^{58} +(-7.30408 - 0.561914i) q^{59} +(0.390642 + 0.0681650i) q^{60} +(-1.73475 - 1.47252i) q^{61} +(3.76905 - 1.03797i) q^{62} +(-12.2487 + 1.49644i) q^{63} +(1.04634 - 2.71455i) q^{64} +(6.99638 - 0.900225i) q^{65} +(-0.983809 + 0.782357i) q^{66} +(1.81410 - 1.55996i) q^{67} +(-4.91714 - 1.15308i) q^{68} +(-0.505736 + 1.17549i) q^{69} +(-14.4561 + 3.48772i) q^{70} +(-2.18873 + 1.78674i) q^{71} +(5.45583 + 2.45143i) q^{72} +(1.43373 + 1.02494i) q^{73} +(-1.30974 + 16.3410i) q^{74} +(-0.0127284 + 0.113200i) q^{75} +(-1.56342 - 5.60691i) q^{76} +(6.22619 - 11.6877i) q^{77} +(1.31034 + 0.160086i) q^{78} +(2.23772 - 0.331706i) q^{79} +(10.0388 + 3.18387i) q^{80} +(-3.89580 + 7.54423i) q^{81} +(-0.757434 + 1.72994i) q^{82} +(17.2621 - 5.35347i) q^{83} +(-0.781753 - 0.0100044i) q^{84} +(-2.31950 + 13.5485i) q^{85} +(8.36383 - 2.65264i) q^{86} +(-0.310739 + 0.151749i) q^{87} +(-5.51390 + 3.28620i) q^{88} +(13.8788 + 9.13768i) q^{89} +(-3.69183 + 9.76352i) q^{90} +(-13.3351 + 3.94926i) q^{91} +(2.15673 - 3.59259i) q^{92} +(-0.0446906 - 0.557584i) q^{93} +(-4.99540 - 0.159866i) q^{94} +(-14.9732 + 5.17414i) q^{95} +(0.849799 + 0.528832i) q^{96} +(-3.25898 + 0.166963i) q^{97} +(16.2745 - 6.81750i) q^{98} +(-4.31772 - 8.23166i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.529551 + 1.58145i −0.374449 + 1.11825i 0.578646 + 0.815579i \(0.303581\pi\)
−0.953095 + 0.302672i \(0.902121\pi\)
\(3\) 0.208046 + 0.116883i 0.120115 + 0.0674825i 0.548701 0.836019i \(-0.315122\pi\)
−0.428586 + 0.903501i \(0.640988\pi\)
\(4\) −0.623831 0.470542i −0.311915 0.235271i
\(5\) −1.17513 + 1.77249i −0.525535 + 0.792680i −0.995964 0.0897584i \(-0.971390\pi\)
0.470429 + 0.882438i \(0.344099\pi\)
\(6\) −0.295015 + 0.267117i −0.120439 + 0.109050i
\(7\) 1.73067 3.81900i 0.654133 1.44345i −0.228576 0.973526i \(-0.573407\pi\)
0.882709 0.469920i \(-0.155717\pi\)
\(8\) −1.67570 + 1.14996i −0.592448 + 0.406574i
\(9\) −1.53091 2.51354i −0.510304 0.837847i
\(10\) −2.18080 2.79703i −0.689629 0.884497i
\(11\) 3.15193 + 0.201947i 0.950342 + 0.0608894i 0.531397 0.847123i \(-0.321667\pi\)
0.418944 + 0.908012i \(0.362400\pi\)
\(12\) −0.0747869 0.170810i −0.0215891 0.0493085i
\(13\) −2.17070 2.50807i −0.602044 0.695613i 0.370367 0.928885i \(-0.379232\pi\)
−0.972412 + 0.233272i \(0.925057\pi\)
\(14\) 5.12306 + 4.75932i 1.36920 + 1.27198i
\(15\) −0.451654 + 0.231405i −0.116617 + 0.0597485i
\(16\) −1.36061 4.76163i −0.340154 1.19041i
\(17\) 5.91252 2.61130i 1.43400 0.633332i 0.466111 0.884726i \(-0.345655\pi\)
0.967885 + 0.251394i \(0.0808889\pi\)
\(18\) 4.78572 1.09001i 1.12801 0.256918i
\(19\) 5.91835 + 4.52379i 1.35776 + 1.03783i 0.994345 + 0.106202i \(0.0338689\pi\)
0.363418 + 0.931626i \(0.381610\pi\)
\(20\) 1.56711 0.552782i 0.350417 0.123606i
\(21\) 0.806435 0.592240i 0.175979 0.129237i
\(22\) −1.98847 + 4.87766i −0.423944 + 1.03992i
\(23\) 0.565087 + 5.33268i 0.117829 + 1.11194i 0.883410 + 0.468601i \(0.155242\pi\)
−0.765581 + 0.643340i \(0.777548\pi\)
\(24\) −0.483033 + 0.0433847i −0.0985986 + 0.00885587i
\(25\) 0.185848 + 0.439699i 0.0371697 + 0.0879397i
\(26\) 5.11587 2.10470i 1.00330 0.412765i
\(27\) −0.0498974 1.41732i −0.00960275 0.272763i
\(28\) −2.87665 + 1.56805i −0.543636 + 0.296335i
\(29\) −0.823802 + 1.19223i −0.152976 + 0.221391i −0.891711 0.452605i \(-0.850495\pi\)
0.738735 + 0.673996i \(0.235424\pi\)
\(30\) −0.126780 0.836807i −0.0231468 0.152779i
\(31\) −1.30776 1.94539i −0.234880 0.349402i 0.693875 0.720095i \(-0.255902\pi\)
−0.928755 + 0.370694i \(0.879120\pi\)
\(32\) 4.19018 + 0.187798i 0.740727 + 0.0331982i
\(33\) 0.632141 + 0.410421i 0.110042 + 0.0714451i
\(34\) 0.998646 + 10.7331i 0.171266 + 1.84072i
\(35\) 4.73535 + 7.55542i 0.800421 + 1.27710i
\(36\) −0.227696 + 2.28838i −0.0379494 + 0.381397i
\(37\) 9.54053 2.36648i 1.56845 0.389047i 0.642379 0.766387i \(-0.277948\pi\)
0.926075 + 0.377341i \(0.123161\pi\)
\(38\) −10.2882 + 6.96397i −1.66896 + 1.12971i
\(39\) −0.158454 0.775511i −0.0253730 0.124181i
\(40\) −0.0691322 4.32151i −0.0109308 0.683290i
\(41\) 1.12782 + 0.101298i 0.176136 + 0.0158200i 0.177175 0.984179i \(-0.443304\pi\)
−0.00103897 + 0.999999i \(0.500331\pi\)
\(42\) 0.509547 + 1.58895i 0.0786248 + 0.245181i
\(43\) −3.10063 4.25047i −0.472842 0.648191i 0.503609 0.863932i \(-0.332005\pi\)
−0.976451 + 0.215741i \(0.930783\pi\)
\(44\) −1.87124 1.60910i −0.282101 0.242580i
\(45\) 6.25424 + 0.240219i 0.932326 + 0.0358097i
\(46\) −8.73259 1.93027i −1.28755 0.284603i
\(47\) 0.860180 + 2.87073i 0.125470 + 0.418738i 0.997496 0.0707213i \(-0.0225301\pi\)
−0.872026 + 0.489460i \(0.837194\pi\)
\(48\) 0.273484 1.14967i 0.0394740 0.165940i
\(49\) −6.97481 7.95539i −0.996402 1.13648i
\(50\) −0.793775 + 0.0610663i −0.112257 + 0.00863608i
\(51\) 1.53529 + 0.147804i 0.214984 + 0.0206967i
\(52\) 0.173998 + 2.58602i 0.0241291 + 0.358616i
\(53\) 3.06551 2.81153i 0.421081 0.386194i −0.437208 0.899360i \(-0.644033\pi\)
0.858289 + 0.513167i \(0.171528\pi\)
\(54\) 2.26783 + 0.671631i 0.308613 + 0.0913975i
\(55\) −4.06188 + 5.34943i −0.547703 + 0.721317i
\(56\) 1.49163 + 8.38970i 0.199328 + 1.12112i
\(57\) 0.702533 + 1.63291i 0.0930528 + 0.216284i
\(58\) −1.44920 1.93414i −0.190289 0.253965i
\(59\) −7.30408 0.561914i −0.950910 0.0731550i −0.408033 0.912967i \(-0.633785\pi\)
−0.542877 + 0.839812i \(0.682665\pi\)
\(60\) 0.390642 + 0.0681650i 0.0504316 + 0.00880007i
\(61\) −1.73475 1.47252i −0.222112 0.188537i 0.529175 0.848513i \(-0.322502\pi\)
−0.751287 + 0.659975i \(0.770567\pi\)
\(62\) 3.76905 1.03797i 0.478669 0.131822i
\(63\) −12.2487 + 1.49644i −1.54319 + 0.188534i
\(64\) 1.04634 2.71455i 0.130792 0.339319i
\(65\) 6.99638 0.900225i 0.867794 0.111659i
\(66\) −0.983809 + 0.782357i −0.121098 + 0.0963015i
\(67\) 1.81410 1.55996i 0.221628 0.190579i −0.534184 0.845368i \(-0.679381\pi\)
0.755812 + 0.654789i \(0.227243\pi\)
\(68\) −4.91714 1.15308i −0.596290 0.139832i
\(69\) −0.505736 + 1.17549i −0.0608835 + 0.141512i
\(70\) −14.4561 + 3.48772i −1.72783 + 0.416863i
\(71\) −2.18873 + 1.78674i −0.259754 + 0.212047i −0.753308 0.657668i \(-0.771543\pi\)
0.493554 + 0.869715i \(0.335698\pi\)
\(72\) 5.45583 + 2.45143i 0.642975 + 0.288904i
\(73\) 1.43373 + 1.02494i 0.167806 + 0.119960i 0.662358 0.749188i \(-0.269556\pi\)
−0.494552 + 0.869148i \(0.664668\pi\)
\(74\) −1.30974 + 16.3410i −0.152254 + 1.89960i
\(75\) −0.0127284 + 0.113200i −0.00146975 + 0.0130712i
\(76\) −1.56342 5.60691i −0.179336 0.643157i
\(77\) 6.22619 11.6877i 0.709540 1.33194i
\(78\) 1.31034 + 0.160086i 0.148367 + 0.0181261i
\(79\) 2.23772 0.331706i 0.251763 0.0373198i −0.0195579 0.999809i \(-0.506226\pi\)
0.271321 + 0.962489i \(0.412540\pi\)
\(80\) 10.0388 + 3.18387i 1.12237 + 0.355968i
\(81\) −3.89580 + 7.54423i −0.432867 + 0.838248i
\(82\) −0.757434 + 1.72994i −0.0836446 + 0.191040i
\(83\) 17.2621 5.35347i 1.89476 0.587619i 0.909744 0.415169i \(-0.136278\pi\)
0.985018 0.172450i \(-0.0551683\pi\)
\(84\) −0.781753 0.0100044i −0.0852963 0.00109157i
\(85\) −2.31950 + 13.5485i −0.251585 + 1.46954i
\(86\) 8.36383 2.65264i 0.901895 0.286041i
\(87\) −0.310739 + 0.151749i −0.0333148 + 0.0162692i
\(88\) −5.51390 + 3.28620i −0.587784 + 0.350310i
\(89\) 13.8788 + 9.13768i 1.47115 + 0.968592i 0.996062 + 0.0886547i \(0.0282568\pi\)
0.475090 + 0.879937i \(0.342415\pi\)
\(90\) −3.69183 + 9.76352i −0.389153 + 1.02917i
\(91\) −13.3351 + 3.94926i −1.39790 + 0.413995i
\(92\) 2.15673 3.59259i 0.224855 0.374553i
\(93\) −0.0446906 0.557584i −0.00463420 0.0578187i
\(94\) −4.99540 0.159866i −0.515237 0.0164890i
\(95\) −14.9732 + 5.17414i −1.53622 + 0.530856i
\(96\) 0.849799 + 0.528832i 0.0867322 + 0.0539737i
\(97\) −3.25898 + 0.166963i −0.330900 + 0.0169525i −0.215907 0.976414i \(-0.569271\pi\)
−0.114992 + 0.993366i \(0.536684\pi\)
\(98\) 16.2745 6.81750i 1.64398 0.688672i
\(99\) −4.31772 8.23166i −0.433947 0.827313i
\(100\) 0.0909589 0.361747i 0.00909589 0.0361747i
\(101\) −12.3166 8.92446i −1.22555 0.888017i −0.229195 0.973380i \(-0.573610\pi\)
−0.996350 + 0.0853635i \(0.972795\pi\)
\(102\) −1.04676 + 2.34971i −0.103644 + 0.232656i
\(103\) −6.19086 2.40908i −0.610004 0.237374i 0.0376713 0.999290i \(-0.488006\pi\)
−0.647675 + 0.761917i \(0.724259\pi\)
\(104\) 6.52163 + 1.70653i 0.639498 + 0.167339i
\(105\) 0.102069 + 2.12535i 0.00996093 + 0.207413i
\(106\) 2.82294 + 6.33679i 0.274188 + 0.615484i
\(107\) 1.06546 5.04966i 0.103002 0.488169i −0.896022 0.444009i \(-0.853556\pi\)
0.999024 0.0441605i \(-0.0140613\pi\)
\(108\) −0.635781 + 0.907645i −0.0611780 + 0.0873382i
\(109\) 3.18578 + 3.77753i 0.305142 + 0.361822i 0.895298 0.445467i \(-0.146962\pi\)
−0.590156 + 0.807289i \(0.700934\pi\)
\(110\) −6.30886 9.25643i −0.601526 0.882566i
\(111\) 2.26147 + 0.622791i 0.214649 + 0.0591127i
\(112\) −20.5394 3.04464i −1.94080 0.287691i
\(113\) 8.85822 + 4.32590i 0.833311 + 0.406947i 0.805449 0.592665i \(-0.201924\pi\)
0.0278625 + 0.999612i \(0.491130\pi\)
\(114\) −2.95438 + 0.246310i −0.276703 + 0.0230690i
\(115\) −10.1162 5.26499i −0.943336 0.490963i
\(116\) 1.07491 0.356114i 0.0998025 0.0330644i
\(117\) −2.98098 + 9.29578i −0.275591 + 0.859395i
\(118\) 4.75652 11.2534i 0.437873 1.03596i
\(119\) 0.260093 27.0992i 0.0238427 2.48418i
\(120\) 0.490728 0.907151i 0.0447971 0.0828112i
\(121\) −1.01620 0.130754i −0.0923815 0.0118868i
\(122\) 3.24736 1.96364i 0.294002 0.177780i
\(123\) 0.222798 + 0.152897i 0.0200890 + 0.0137863i
\(124\) −0.0995673 + 1.82895i −0.00894141 + 0.164244i
\(125\) −11.4485 2.14901i −1.02398 0.192213i
\(126\) 4.11978 20.1631i 0.367019 1.79627i
\(127\) 8.29980 + 19.9923i 0.736489 + 1.77403i 0.625528 + 0.780201i \(0.284883\pi\)
0.110960 + 0.993825i \(0.464607\pi\)
\(128\) 10.2032 + 8.43860i 0.901841 + 0.745874i
\(129\) −0.148265 1.24670i −0.0130540 0.109766i
\(130\) −2.28128 + 11.5411i −0.200081 + 1.01222i
\(131\) 12.0992 + 6.19904i 1.05712 + 0.541613i 0.895417 0.445228i \(-0.146877\pi\)
0.161698 + 0.986840i \(0.448303\pi\)
\(132\) −0.201228 0.553482i −0.0175147 0.0481744i
\(133\) 27.5191 14.7730i 2.38621 1.28098i
\(134\) 1.50633 + 3.69498i 0.130127 + 0.319198i
\(135\) 2.57081 + 1.57709i 0.221260 + 0.135734i
\(136\) −6.90468 + 11.1749i −0.592072 + 0.958242i
\(137\) 1.36032 + 2.40325i 0.116220 + 0.205324i 0.922293 0.386492i \(-0.126313\pi\)
−0.806073 + 0.591816i \(0.798411\pi\)
\(138\) −1.59116 1.42228i −0.135449 0.121072i
\(139\) 7.38048 14.0707i 0.626004 1.19346i −0.341326 0.939945i \(-0.610876\pi\)
0.967330 0.253520i \(-0.0815883\pi\)
\(140\) 0.601086 6.94149i 0.0508011 0.586663i
\(141\) −0.156582 + 0.697782i −0.0131866 + 0.0587639i
\(142\) −1.66659 4.40752i −0.139857 0.369871i
\(143\) −6.33540 8.34362i −0.529792 0.697729i
\(144\) −9.88556 + 10.7096i −0.823797 + 0.892467i
\(145\) −1.14513 2.86120i −0.0950979 0.237610i
\(146\) −2.38012 + 1.72461i −0.196980 + 0.142730i
\(147\) −0.521230 2.47032i −0.0429903 0.203749i
\(148\) −7.06521 3.01294i −0.580756 0.247662i
\(149\) −3.88840 15.0563i −0.318550 1.23346i −0.905678 0.423966i \(-0.860638\pi\)
0.587128 0.809494i \(-0.300258\pi\)
\(150\) −0.172279 0.0800743i −0.0140665 0.00653804i
\(151\) −2.60694 + 0.938366i −0.212149 + 0.0763632i −0.442593 0.896722i \(-0.645941\pi\)
0.230444 + 0.973086i \(0.425982\pi\)
\(152\) −15.1196 0.774599i −1.22636 0.0628283i
\(153\) −15.6151 10.8637i −1.26241 0.878276i
\(154\) 15.1864 + 16.0356i 1.22375 + 1.29219i
\(155\) 4.98495 0.0318960i 0.400401 0.00256194i
\(156\) −0.266062 + 0.558347i −0.0213020 + 0.0447036i
\(157\) −5.66707 6.13947i −0.452282 0.489983i 0.466626 0.884455i \(-0.345469\pi\)
−0.918908 + 0.394472i \(0.870928\pi\)
\(158\) −0.660411 + 3.71448i −0.0525395 + 0.295509i
\(159\) 0.966387 0.226621i 0.0766395 0.0179722i
\(160\) −5.25688 + 7.20635i −0.415593 + 0.569712i
\(161\) 21.3435 + 7.07106i 1.68210 + 0.557278i
\(162\) −9.86776 10.1561i −0.775285 0.797935i
\(163\) −17.1734 + 4.37661i −1.34513 + 0.342803i −0.850350 0.526217i \(-0.823610\pi\)
−0.494778 + 0.869020i \(0.664750\pi\)
\(164\) −0.655903 0.593879i −0.0512174 0.0463742i
\(165\) −1.47031 + 0.638161i −0.114464 + 0.0496808i
\(166\) −0.674941 + 30.1340i −0.0523856 + 2.33885i
\(167\) 4.33930 + 23.5318i 0.335785 + 1.82095i 0.539583 + 0.841933i \(0.318582\pi\)
−0.203797 + 0.979013i \(0.565328\pi\)
\(168\) −0.670286 + 1.91979i −0.0517137 + 0.148115i
\(169\) 0.286594 1.97697i 0.0220457 0.152075i
\(170\) −20.1979 10.8428i −1.54911 0.831602i
\(171\) 2.31024 21.8015i 0.176668 1.66720i
\(172\) −0.0657575 + 4.11055i −0.00501397 + 0.313427i
\(173\) −12.2907 + 2.30710i −0.934441 + 0.175405i −0.629531 0.776976i \(-0.716753\pi\)
−0.304910 + 0.952381i \(0.598626\pi\)
\(174\) −0.0754309 0.571776i −0.00571840 0.0433463i
\(175\) 2.00085 + 0.0512198i 0.151250 + 0.00387186i
\(176\) −3.32696 15.2831i −0.250779 1.15201i
\(177\) −1.45390 0.970627i −0.109282 0.0729568i
\(178\) −21.8003 + 17.1097i −1.63400 + 1.28243i
\(179\) −12.3136 5.91605i −0.920360 0.442186i −0.0878107 0.996137i \(-0.527987\pi\)
−0.832549 + 0.553951i \(0.813119\pi\)
\(180\) −3.78855 3.09274i −0.282382 0.230519i
\(181\) 8.74679 + 17.4834i 0.650143 + 1.29953i 0.939579 + 0.342332i \(0.111217\pi\)
−0.289436 + 0.957197i \(0.593468\pi\)
\(182\) 0.816065 23.1801i 0.0604908 1.71822i
\(183\) −0.188795 0.509115i −0.0139561 0.0376349i
\(184\) −7.07931 8.28612i −0.521894 0.610861i
\(185\) −7.01683 + 19.6914i −0.515888 + 1.44774i
\(186\) 0.905454 + 0.224593i 0.0663911 + 0.0164680i
\(187\) 19.1632 7.03660i 1.40135 0.514567i
\(188\) 0.814191 2.19560i 0.0593810 0.160130i
\(189\) −5.49909 2.26236i −0.400000 0.164562i
\(190\) −0.253567 26.4192i −0.0183957 1.91665i
\(191\) −5.46071 2.88660i −0.395123 0.208867i 0.257956 0.966157i \(-0.416951\pi\)
−0.653079 + 0.757289i \(0.726523\pi\)
\(192\) 0.534971 0.442451i 0.0386082 0.0319312i
\(193\) 4.00338 + 3.81574i 0.288170 + 0.274663i 0.820218 0.572052i \(-0.193852\pi\)
−0.532048 + 0.846714i \(0.678577\pi\)
\(194\) 1.46175 5.24232i 0.104948 0.376377i
\(195\) 1.56079 + 0.630470i 0.111770 + 0.0451489i
\(196\) 0.607756 + 8.24476i 0.0434111 + 0.588912i
\(197\) 11.7255 3.14855i 0.835409 0.224325i 0.183881 0.982949i \(-0.441134\pi\)
0.651529 + 0.758624i \(0.274128\pi\)
\(198\) 15.3044 2.46916i 1.08763 0.175476i
\(199\) 1.58285 2.45511i 0.112205 0.174038i −0.779847 0.625970i \(-0.784703\pi\)
0.892052 + 0.451932i \(0.149265\pi\)
\(200\) −0.817063 0.523082i −0.0577751 0.0369875i
\(201\) 0.559749 0.112505i 0.0394816 0.00793548i
\(202\) 20.6358 14.7520i 1.45193 1.03795i
\(203\) 3.12738 + 5.20945i 0.219499 + 0.365632i
\(204\) −0.888213 0.814624i −0.0621873 0.0570351i
\(205\) −1.50488 + 1.88000i −0.105106 + 0.131305i
\(206\) 7.08820 8.51478i 0.493858 0.593253i
\(207\) 12.5388 9.58424i 0.871507 0.666151i
\(208\) −8.98901 + 13.7486i −0.623276 + 0.953294i
\(209\) 17.7406 + 15.4538i 1.22715 + 1.06896i
\(210\) −3.41518 0.964066i −0.235670 0.0665269i
\(211\) −2.52340 15.3285i −0.173718 1.05526i −0.920659 0.390368i \(-0.872348\pi\)
0.746941 0.664890i \(-0.231522\pi\)
\(212\) −3.23531 + 0.311467i −0.222202 + 0.0213916i
\(213\) −0.664195 + 0.115899i −0.0455099 + 0.00794124i
\(214\) 7.42155 + 4.35902i 0.507327 + 0.297977i
\(215\) 11.1775 0.500960i 0.762302 0.0341652i
\(216\) 1.71348 + 2.31761i 0.116587 + 0.157694i
\(217\) −9.69273 + 1.62750i −0.657985 + 0.110482i
\(218\) −7.66099 + 3.03774i −0.518867 + 0.205741i
\(219\) 0.178483 + 0.380814i 0.0120608 + 0.0257330i
\(220\) 5.05106 1.42585i 0.340542 0.0961311i
\(221\) −19.3836 9.16066i −1.30388 0.616213i
\(222\) −2.18247 + 3.24659i −0.146478 + 0.217897i
\(223\) 3.96180 5.35864i 0.265302 0.358841i −0.651176 0.758926i \(-0.725724\pi\)
0.916478 + 0.400085i \(0.131019\pi\)
\(224\) 7.96904 15.6773i 0.532454 1.04748i
\(225\) 0.820682 1.14028i 0.0547121 0.0760185i
\(226\) −11.5321 + 11.7180i −0.767101 + 0.779470i
\(227\) −8.97505 15.1693i −0.595695 1.00682i −0.995905 0.0904008i \(-0.971185\pi\)
0.400210 0.916423i \(-0.368937\pi\)
\(228\) 0.330091 1.34923i 0.0218608 0.0893550i
\(229\) −0.999019 + 4.58920i −0.0660170 + 0.303263i −0.998287 0.0584990i \(-0.981369\pi\)
0.932270 + 0.361762i \(0.117825\pi\)
\(230\) 13.6833 13.2101i 0.902251 0.871046i
\(231\) 2.66143 1.70384i 0.175109 0.112104i
\(232\) 0.00942210 2.94515i 0.000618591 0.193359i
\(233\) 6.03665 3.70325i 0.395474 0.242608i −0.310906 0.950441i \(-0.600632\pi\)
0.706380 + 0.707833i \(0.250327\pi\)
\(234\) −13.1222 9.63684i −0.857824 0.629980i
\(235\) −6.09914 1.84882i −0.397864 0.120604i
\(236\) 4.29211 + 3.78742i 0.279392 + 0.246540i
\(237\) 0.504318 + 0.192541i 0.0327590 + 0.0125069i
\(238\) 42.7182 + 14.7617i 2.76901 + 0.956860i
\(239\) −8.52410 10.5103i −0.551378 0.679857i 0.422647 0.906294i \(-0.361101\pi\)
−0.974026 + 0.226437i \(0.927292\pi\)
\(240\) 1.71639 + 1.83576i 0.110793 + 0.118498i
\(241\) 17.4602 + 0.111718i 1.12471 + 0.00719638i 0.567645 0.823273i \(-0.307855\pi\)
0.557064 + 0.830470i \(0.311928\pi\)
\(242\) 0.744908 1.53782i 0.0478845 0.0988547i
\(243\) −5.24584 + 3.45381i −0.336521 + 0.221562i
\(244\) 0.389307 + 1.73488i 0.0249228 + 0.111064i
\(245\) 22.2971 3.01413i 1.42451 0.192565i
\(246\) −0.359782 + 0.271376i −0.0229388 + 0.0173023i
\(247\) −1.50100 24.6634i −0.0955064 1.56930i
\(248\) 4.42853 + 1.75600i 0.281212 + 0.111506i
\(249\) 4.21704 + 0.903882i 0.267244 + 0.0572812i
\(250\) 9.46109 16.9671i 0.598372 1.07310i
\(251\) −4.59712 + 15.3422i −0.290168 + 0.968393i 0.681455 + 0.731860i \(0.261347\pi\)
−0.971623 + 0.236533i \(0.923989\pi\)
\(252\) 8.34527 + 4.83001i 0.525702 + 0.304262i
\(253\) 0.704194 + 16.9223i 0.0442723 + 1.06390i
\(254\) −36.0118 + 2.53878i −2.25958 + 0.159297i
\(255\) −2.06615 + 2.54759i −0.129387 + 0.159536i
\(256\) −13.8083 + 8.59291i −0.863016 + 0.537057i
\(257\) 19.0774 13.2724i 1.19002 0.827911i 0.201568 0.979475i \(-0.435396\pi\)
0.988447 + 0.151564i \(0.0484310\pi\)
\(258\) 2.05011 + 0.425719i 0.127634 + 0.0265041i
\(259\) 7.47396 40.5309i 0.464409 2.51847i
\(260\) −4.78815 2.73050i −0.296948 0.169339i
\(261\) 4.25788 + 0.245462i 0.263556 + 0.0151937i
\(262\) −16.2106 + 15.8516i −1.00149 + 0.979314i
\(263\) 0.181427 + 0.741574i 0.0111873 + 0.0457274i 0.976677 0.214713i \(-0.0688817\pi\)
−0.965490 + 0.260441i \(0.916132\pi\)
\(264\) −1.53125 + 0.0391984i −0.0942416 + 0.00241249i
\(265\) 1.38102 + 8.73750i 0.0848353 + 0.536740i
\(266\) 8.78992 + 51.3429i 0.538945 + 3.14804i
\(267\) 1.81939 + 3.52325i 0.111345 + 0.215620i
\(268\) −1.86572 + 0.119539i −0.113967 + 0.00730198i
\(269\) −11.6644 13.1338i −0.711190 0.800781i 0.275859 0.961198i \(-0.411038\pi\)
−0.987049 + 0.160417i \(0.948716\pi\)
\(270\) −3.85546 + 3.23045i −0.234636 + 0.196599i
\(271\) −2.23308 + 0.0428694i −0.135650 + 0.00260413i −0.0869747 0.996211i \(-0.527720\pi\)
−0.0486754 + 0.998815i \(0.515500\pi\)
\(272\) −20.4787 24.6003i −1.24170 1.49161i
\(273\) −3.23591 0.737020i −0.195846 0.0446065i
\(274\) −4.52097 + 0.878621i −0.273122 + 0.0530794i
\(275\) 0.496984 + 1.42343i 0.0299693 + 0.0858360i
\(276\) 0.868612 0.495337i 0.0522843 0.0298158i
\(277\) −1.28864 + 0.639550i −0.0774270 + 0.0384268i −0.482857 0.875699i \(-0.660401\pi\)
0.405430 + 0.914126i \(0.367122\pi\)
\(278\) 18.3438 + 19.1230i 1.10019 + 1.14692i
\(279\) −2.88774 + 6.26532i −0.172885 + 0.375095i
\(280\) −16.6235 7.21510i −0.993443 0.431185i
\(281\) −4.05696 8.95232i −0.242018 0.534051i 0.749807 0.661657i \(-0.230146\pi\)
−0.991825 + 0.127606i \(0.959271\pi\)
\(282\) −1.02059 0.617137i −0.0607750 0.0367500i
\(283\) 14.8135 + 11.7802i 0.880573 + 0.700260i 0.954885 0.296975i \(-0.0959777\pi\)
−0.0743125 + 0.997235i \(0.523676\pi\)
\(284\) 2.20613 0.0847353i 0.130910 0.00502812i
\(285\) −3.71988 0.673653i −0.220346 0.0399038i
\(286\) 16.5499 5.60071i 0.978616 0.331177i
\(287\) 2.33874 4.13183i 0.138052 0.243894i
\(288\) −5.94277 10.8197i −0.350181 0.637556i
\(289\) 16.6885 18.3134i 0.981678 1.07726i
\(290\) 5.13124 0.295810i 0.301317 0.0173706i
\(291\) −0.697532 0.346184i −0.0408901 0.0202937i
\(292\) −0.412128 1.31402i −0.0241180 0.0768973i
\(293\) −26.2353 + 6.86507i −1.53268 + 0.401061i −0.920847 0.389923i \(-0.872502\pi\)
−0.611836 + 0.790985i \(0.709569\pi\)
\(294\) 4.18270 + 0.483864i 0.243940 + 0.0282195i
\(295\) 9.57924 12.2861i 0.557725 0.715322i
\(296\) −13.2657 + 14.9368i −0.771051 + 0.868182i
\(297\) 0.128950 4.47736i 0.00748246 0.259803i
\(298\) 25.8698 + 1.82378i 1.49860 + 0.105649i
\(299\) 12.1481 12.9929i 0.702543 0.751401i
\(300\) 0.0612057 0.0646284i 0.00353371 0.00373132i
\(301\) −21.5987 + 4.48513i −1.24493 + 0.258519i
\(302\) −0.103471 4.61964i −0.00595407 0.265830i
\(303\) −1.51929 3.29629i −0.0872811 0.189367i
\(304\) 13.4880 34.3361i 0.773590 1.96931i
\(305\) 4.64859 1.34441i 0.266177 0.0769809i
\(306\) 25.4493 18.9416i 1.45484 1.08282i
\(307\) 11.1494 11.0429i 0.636328 0.630250i −0.311040 0.950397i \(-0.600677\pi\)
0.947368 + 0.320147i \(0.103732\pi\)
\(308\) −9.38365 + 4.36146i −0.534683 + 0.248517i
\(309\) −1.00640 1.22480i −0.0572522 0.0696767i
\(310\) −2.58934 + 7.90032i −0.147065 + 0.448708i
\(311\) −4.81113 + 3.21191i −0.272814 + 0.182131i −0.684126 0.729364i \(-0.739816\pi\)
0.411312 + 0.911495i \(0.365071\pi\)
\(312\) 1.15733 + 1.11730i 0.0655210 + 0.0632549i
\(313\) −25.4173 5.10867i −1.43667 0.288759i −0.584232 0.811587i \(-0.698604\pi\)
−0.852438 + 0.522828i \(0.824877\pi\)
\(314\) 12.7102 5.71101i 0.717280 0.322291i
\(315\) 11.7414 23.4692i 0.661555 1.32234i
\(316\) −1.55204 0.846013i −0.0873090 0.0475920i
\(317\) −11.1014 + 5.59843i −0.623519 + 0.314439i −0.733701 0.679472i \(-0.762209\pi\)
0.110182 + 0.993911i \(0.464856\pi\)
\(318\) −0.153363 + 1.64830i −0.00860016 + 0.0924318i
\(319\) −2.83733 + 3.59145i −0.158860 + 0.201083i
\(320\) 3.58191 + 5.04457i 0.200235 + 0.282000i
\(321\) 0.811885 0.926026i 0.0453150 0.0516857i
\(322\) −22.4850 + 30.0091i −1.25304 + 1.67234i
\(323\) 46.8053 + 11.2924i 2.60432 + 0.628326i
\(324\) 5.98020 2.87318i 0.332233 0.159621i
\(325\) 0.699373 1.42058i 0.0387943 0.0787993i
\(326\) 2.17284 29.4765i 0.120342 1.63255i
\(327\) 0.221258 + 1.15826i 0.0122356 + 0.0640520i
\(328\) −2.00637 + 1.12721i −0.110783 + 0.0622396i
\(329\) 12.4520 + 1.68326i 0.686500 + 0.0928011i
\(330\) −0.230612 2.66316i −0.0126948 0.146602i
\(331\) −32.4073 13.5756i −1.78127 0.746185i −0.991071 0.133333i \(-0.957432\pi\)
−0.790197 0.612852i \(-0.790022\pi\)
\(332\) −13.2877 4.78289i −0.729256 0.262495i
\(333\) −20.5540 20.3576i −1.12635 1.11559i
\(334\) −39.5121 5.59891i −2.16201 0.306359i
\(335\) 0.633196 + 5.04863i 0.0345952 + 0.275836i
\(336\) −3.91728 3.03414i −0.213705 0.165526i
\(337\) −8.55824 + 13.6550i −0.466197 + 0.743834i −0.994445 0.105256i \(-0.966434\pi\)
0.528248 + 0.849090i \(0.322849\pi\)
\(338\) 2.97471 + 1.50014i 0.161803 + 0.0815969i
\(339\) 1.33729 + 1.93536i 0.0726316 + 0.105114i
\(340\) 7.82210 7.36053i 0.424213 0.399181i
\(341\) −3.72909 6.39581i −0.201942 0.346353i
\(342\) 33.2545 + 15.1985i 1.79820 + 0.821842i
\(343\) −14.3649 + 4.35441i −0.775632 + 0.235116i
\(344\) 10.0836 + 3.55688i 0.543672 + 0.191774i
\(345\) −1.48923 2.27777i −0.0801776 0.122631i
\(346\) 2.85997 20.6587i 0.153753 1.11062i
\(347\) 3.76348 + 1.66216i 0.202034 + 0.0892295i 0.502553 0.864546i \(-0.332394\pi\)
−0.300519 + 0.953776i \(0.597160\pi\)
\(348\) 0.265253 + 0.0515502i 0.0142191 + 0.00276338i
\(349\) −4.36324 30.0984i −0.233559 1.61113i −0.691656 0.722227i \(-0.743119\pi\)
0.458097 0.888902i \(-0.348531\pi\)
\(350\) −1.14055 + 3.13711i −0.0609651 + 0.167686i
\(351\) −3.44642 + 3.20172i −0.183956 + 0.170895i
\(352\) 13.1692 + 1.43812i 0.701922 + 0.0766520i
\(353\) 4.91265 + 4.92839i 0.261474 + 0.262312i 0.826724 0.562608i \(-0.190202\pi\)
−0.565250 + 0.824920i \(0.691220\pi\)
\(354\) 2.30491 1.78527i 0.122505 0.0948862i
\(355\) −0.594930 5.97914i −0.0315756 0.317340i
\(356\) −4.35838 12.2309i −0.230994 0.648239i
\(357\) 3.22155 5.60747i 0.170502 0.296779i
\(358\) 15.8766 16.3404i 0.839102 0.863617i
\(359\) −8.47562 + 4.41117i −0.447326 + 0.232813i −0.670416 0.741985i \(-0.733884\pi\)
0.223090 + 0.974798i \(0.428386\pi\)
\(360\) −10.7564 + 6.78962i −0.566914 + 0.357844i
\(361\) 9.57619 + 35.2126i 0.504010 + 1.85329i
\(362\) −32.2809 + 4.57423i −1.69664 + 0.240416i
\(363\) −0.196132 0.145979i −0.0102943 0.00766191i
\(364\) 10.1771 + 3.81106i 0.533427 + 0.199754i
\(365\) −3.50152 + 1.33683i −0.183278 + 0.0699728i
\(366\) 0.905115 0.0289661i 0.0473111 0.00151408i
\(367\) 1.72365 + 15.3293i 0.0899736 + 0.800181i 0.954625 + 0.297809i \(0.0962560\pi\)
−0.864652 + 0.502372i \(0.832461\pi\)
\(368\) 24.6234 9.94646i 1.28358 0.518495i
\(369\) −1.47198 2.98990i −0.0766280 0.155648i
\(370\) −27.4251 21.5243i −1.42576 1.11900i
\(371\) −5.43184 16.5730i −0.282007 0.860429i
\(372\) −0.234487 + 0.368867i −0.0121576 + 0.0191249i
\(373\) −0.730313 + 17.5500i −0.0378141 + 0.908703i 0.870945 + 0.491381i \(0.163508\pi\)
−0.908759 + 0.417322i \(0.862969\pi\)
\(374\) 0.980133 + 34.0317i 0.0506815 + 1.75974i
\(375\) −2.13062 1.78523i −0.110025 0.0921886i
\(376\) −4.74263 3.82129i −0.244583 0.197068i
\(377\) 4.77842 0.521818i 0.246101 0.0268750i
\(378\) 6.48984 7.49848i 0.333801 0.385680i
\(379\) 7.57000 + 2.34767i 0.388845 + 0.120592i 0.484431 0.874829i \(-0.339027\pi\)
−0.0955865 + 0.995421i \(0.530473\pi\)
\(380\) 11.7754 + 3.81773i 0.604065 + 0.195845i
\(381\) −0.610018 + 5.12941i −0.0312522 + 0.262788i
\(382\) 7.45673 7.10722i 0.381519 0.363637i
\(383\) 7.79904 + 14.6402i 0.398512 + 0.748081i 0.998657 0.0518109i \(-0.0164993\pi\)
−0.600145 + 0.799891i \(0.704890\pi\)
\(384\) 1.13640 + 2.94819i 0.0579915 + 0.150449i
\(385\) 13.3997 + 24.7704i 0.682911 + 1.26242i
\(386\) −8.15437 + 4.31051i −0.415047 + 0.219399i
\(387\) −5.93693 + 14.3007i −0.301791 + 0.726943i
\(388\) 2.11162 + 1.42933i 0.107201 + 0.0725634i
\(389\) −25.5337 9.37582i −1.29461 0.475373i −0.397671 0.917528i \(-0.630181\pi\)
−0.896938 + 0.442155i \(0.854214\pi\)
\(390\) −1.82357 + 2.13443i −0.0923400 + 0.108081i
\(391\) 17.2663 + 30.0540i 0.873194 + 1.51989i
\(392\) 20.8361 + 5.31003i 1.05238 + 0.268197i
\(393\) 1.79263 + 2.70388i 0.0904263 + 0.136393i
\(394\) −1.23000 + 20.2106i −0.0619667 + 1.01820i
\(395\) −2.04167 + 4.35612i −0.102728 + 0.219180i
\(396\) −1.17981 + 7.16683i −0.0592879 + 0.360147i
\(397\) 0.349440 5.19351i 0.0175379 0.260655i −0.980427 0.196885i \(-0.936918\pi\)
0.997965 0.0637705i \(-0.0203126\pi\)
\(398\) 3.04442 + 3.80329i 0.152603 + 0.190642i
\(399\) 7.45193 + 0.143058i 0.373063 + 0.00716186i
\(400\) 1.84081 1.48320i 0.0920407 0.0741601i
\(401\) −14.3648 + 14.4108i −0.717345 + 0.719643i −0.968695 0.248253i \(-0.920144\pi\)
0.251351 + 0.967896i \(0.419125\pi\)
\(402\) −0.118495 + 0.944789i −0.00590999 + 0.0471218i
\(403\) −2.04041 + 7.50280i −0.101640 + 0.373741i
\(404\) 3.48413 + 11.3628i 0.173342 + 0.565322i
\(405\) −8.79395 15.7707i −0.436975 0.783653i
\(406\) −9.89457 + 2.18712i −0.491060 + 0.108545i
\(407\) 30.5490 5.53228i 1.51426 0.274225i
\(408\) −2.74265 + 1.51785i −0.135781 + 0.0751450i
\(409\) 2.48985 + 2.76763i 0.123115 + 0.136851i 0.801832 0.597549i \(-0.203859\pi\)
−0.678717 + 0.734400i \(0.737464\pi\)
\(410\) −2.17621 3.37545i −0.107475 0.166702i
\(411\) 0.00210821 + 0.658984i 0.000103991 + 0.0325053i
\(412\) 2.72848 + 4.41592i 0.134422 + 0.217557i
\(413\) −14.7869 + 26.9218i −0.727617 + 1.32473i
\(414\) 8.51702 + 24.9048i 0.418589 + 1.22400i
\(415\) −10.7963 + 36.8879i −0.529970 + 1.81075i
\(416\) −8.62463 10.9169i −0.422857 0.535246i
\(417\) 3.18011 2.06470i 0.155731 0.101109i
\(418\) −33.8340 + 19.8723i −1.65487 + 0.971984i
\(419\) −25.4029 + 21.5630i −1.24101 + 1.05342i −0.244529 + 0.969642i \(0.578633\pi\)
−0.996484 + 0.0837777i \(0.973301\pi\)
\(420\) 0.936396 1.37389i 0.0456914 0.0670390i
\(421\) −0.592124 + 0.0608306i −0.0288584 + 0.00296470i −0.116613 0.993177i \(-0.537204\pi\)
0.0877550 + 0.996142i \(0.472031\pi\)
\(422\) 25.5775 + 4.12660i 1.24509 + 0.200880i
\(423\) 5.89882 6.55693i 0.286810 0.318809i
\(424\) −1.90371 + 8.23651i −0.0924522 + 0.400000i
\(425\) 2.24701 + 2.11442i 0.108996 + 0.102564i
\(426\) 0.168437 1.11176i 0.00816081 0.0538650i
\(427\) −8.62586 + 4.07656i −0.417435 + 0.197279i
\(428\) −3.04075 + 2.64879i −0.146980 + 0.128034i
\(429\) −0.342824 2.47635i −0.0165517 0.119560i
\(430\) −5.12683 + 17.9420i −0.247238 + 0.865238i
\(431\) 3.49841 + 17.6987i 0.168513 + 0.852514i 0.967830 + 0.251605i \(0.0809584\pi\)
−0.799317 + 0.600909i \(0.794805\pi\)
\(432\) −6.68085 + 2.16602i −0.321433 + 0.104212i
\(433\) −35.5039 + 0.454358i −1.70621 + 0.0218350i −0.859779 0.510667i \(-0.829399\pi\)
−0.846429 + 0.532502i \(0.821252\pi\)
\(434\) 2.55899 16.1904i 0.122836 0.777162i
\(435\) 0.0961864 0.729106i 0.00461179 0.0349580i
\(436\) −0.209897 3.85558i −0.0100522 0.184649i
\(437\) −20.7795 + 34.1170i −0.994020 + 1.63204i
\(438\) −0.696752 + 0.0806019i −0.0332921 + 0.00385131i
\(439\) −9.13279 + 3.55389i −0.435884 + 0.169618i −0.570531 0.821276i \(-0.693263\pi\)
0.134647 + 0.990894i \(0.457010\pi\)
\(440\) 0.654816 13.6350i 0.0312171 0.650025i
\(441\) −9.31835 + 29.7105i −0.443731 + 1.41478i
\(442\) 24.7517 25.8031i 1.17732 1.22733i
\(443\) −3.30484 8.41305i −0.157017 0.399716i 0.830543 0.556954i \(-0.188030\pi\)
−0.987561 + 0.157238i \(0.949741\pi\)
\(444\) −1.11772 1.45263i −0.0530448 0.0689389i
\(445\) −32.5058 + 13.8620i −1.54092 + 0.657124i
\(446\) 6.37643 + 9.10304i 0.301933 + 0.431041i
\(447\) 0.950861 3.58688i 0.0449742 0.169654i
\(448\) −8.55600 8.69396i −0.404233 0.410751i
\(449\) −27.6260 + 4.27592i −1.30375 + 0.201793i −0.766836 0.641843i \(-0.778170\pi\)
−0.536914 + 0.843637i \(0.680410\pi\)
\(450\) 1.36869 + 1.90170i 0.0645208 + 0.0896469i
\(451\) 3.53435 + 0.547043i 0.166426 + 0.0257592i
\(452\) −3.49051 6.86680i −0.164180 0.322987i
\(453\) −0.652041 0.109484i −0.0306356 0.00514399i
\(454\) 28.7422 6.16062i 1.34894 0.289132i
\(455\) 8.67048 28.2772i 0.406478 1.32565i
\(456\) −3.05502 1.92837i −0.143064 0.0903043i
\(457\) −18.0445 1.50439i −0.844086 0.0703723i −0.346779 0.937947i \(-0.612725\pi\)
−0.497307 + 0.867575i \(0.665678\pi\)
\(458\) −6.72854 4.01011i −0.314404 0.187380i
\(459\) −3.99606 8.24962i −0.186520 0.385059i
\(460\) 3.83336 + 8.04454i 0.178732 + 0.375079i
\(461\) −9.78764 + 24.4552i −0.455856 + 1.13899i 0.505289 + 0.862950i \(0.331386\pi\)
−0.961145 + 0.276043i \(0.910977\pi\)
\(462\) 1.28517 + 5.11117i 0.0597915 + 0.237793i
\(463\) 14.7497 13.1842i 0.685477 0.612721i −0.249101 0.968477i \(-0.580135\pi\)
0.934579 + 0.355757i \(0.115777\pi\)
\(464\) 6.79782 + 2.30048i 0.315581 + 0.106797i
\(465\) 1.04083 + 0.576021i 0.0482672 + 0.0267123i
\(466\) 2.65978 + 11.5077i 0.123212 + 0.533083i
\(467\) −6.68345 + 11.4629i −0.309273 + 0.530439i −0.976802 0.214145i \(-0.931303\pi\)
0.667528 + 0.744584i \(0.267352\pi\)
\(468\) 6.23368 4.39632i 0.288152 0.203220i
\(469\) −2.81787 9.62784i −0.130117 0.444572i
\(470\) 6.15362 8.66642i 0.283845 0.399752i
\(471\) −0.461411 1.93967i −0.0212607 0.0893755i
\(472\) 12.8856 7.45784i 0.593108 0.343275i
\(473\) −8.91459 14.0233i −0.409893 0.644794i
\(474\) −0.571556 + 0.695592i −0.0262524 + 0.0319496i
\(475\) −0.889187 + 3.44303i −0.0407987 + 0.157977i
\(476\) −12.9136 + 16.7829i −0.591893 + 0.769244i
\(477\) −11.7599 3.40108i −0.538450 0.155725i
\(478\) 21.1355 7.91465i 0.966714 0.362008i
\(479\) −0.818591 + 0.722337i −0.0374024 + 0.0330044i −0.680143 0.733079i \(-0.738082\pi\)
0.642741 + 0.766084i \(0.277797\pi\)
\(480\) −1.93597 + 0.884809i −0.0883646 + 0.0403858i
\(481\) −26.6449 18.7914i −1.21490 0.856814i
\(482\) −9.42272 + 27.5531i −0.429193 + 1.25501i
\(483\) 3.61393 + 3.96580i 0.164440 + 0.180450i
\(484\) 0.572410 + 0.559732i 0.0260186 + 0.0254424i
\(485\) 3.53379 5.97270i 0.160461 0.271206i
\(486\) −2.68407 10.1250i −0.121752 0.459279i
\(487\) 4.38335 5.19755i 0.198629 0.235524i −0.656003 0.754758i \(-0.727754\pi\)
0.854632 + 0.519234i \(0.173783\pi\)
\(488\) 4.60027 + 0.472599i 0.208244 + 0.0213935i
\(489\) −4.08441 1.09675i −0.184703 0.0495967i
\(490\) −7.04078 + 36.8578i −0.318070 + 1.66507i
\(491\) 0.369839 + 1.10448i 0.0166906 + 0.0498447i 0.956268 0.292492i \(-0.0944844\pi\)
−0.939577 + 0.342336i \(0.888782\pi\)
\(492\) −0.0670434 0.200218i −0.00302255 0.00902652i
\(493\) −1.75748 + 9.20025i −0.0791530 + 0.414359i
\(494\) 39.7987 + 10.6868i 1.79063 + 0.480821i
\(495\) 19.6644 + 2.02018i 0.883848 + 0.0908002i
\(496\) −7.48386 + 8.87398i −0.336035 + 0.398453i
\(497\) 3.03559 + 11.4510i 0.136165 + 0.513648i
\(498\) −3.66257 + 6.19036i −0.164124 + 0.277397i
\(499\) 29.9897 + 29.3255i 1.34252 + 1.31279i 0.911990 + 0.410213i \(0.134546\pi\)
0.430532 + 0.902575i \(0.358326\pi\)
\(500\) 6.13071 + 6.72761i 0.274174 + 0.300868i
\(501\) −1.84770 + 5.40288i −0.0825489 + 0.241383i
\(502\) −21.8285 15.3946i −0.974253 0.687094i
\(503\) −10.4822 + 4.79072i −0.467376 + 0.213608i −0.635412 0.772173i \(-0.719170\pi\)
0.168036 + 0.985781i \(0.446257\pi\)
\(504\) 18.8043 16.5932i 0.837609 0.739119i
\(505\) 30.2921 11.3435i 1.34798 0.504781i
\(506\) −27.1347 7.84759i −1.20628 0.348868i
\(507\) 0.290699 0.377803i 0.0129104 0.0167788i
\(508\) 4.22953 16.3772i 0.187655 0.726621i
\(509\) 2.53129 3.08062i 0.112197 0.136546i −0.713509 0.700646i \(-0.752895\pi\)
0.825706 + 0.564100i \(0.190777\pi\)
\(510\) −2.93474 4.61658i −0.129953 0.204425i
\(511\) 6.39557 3.70158i 0.282923 0.163748i
\(512\) −0.148669 0.624975i −0.00657032 0.0276203i
\(513\) 6.11633 8.61391i 0.270043 0.380313i
\(514\) 10.8872 + 37.1983i 0.480212 + 1.64075i
\(515\) 11.5451 8.14223i 0.508739 0.358789i
\(516\) −0.494134 + 0.847497i −0.0217531 + 0.0373090i
\(517\) 2.13149 + 9.22203i 0.0937428 + 0.405584i
\(518\) 60.1395 + 33.2828i 2.64238 + 1.46236i
\(519\) −2.82668 0.956587i −0.124077 0.0419895i
\(520\) −10.6886 + 9.55409i −0.468725 + 0.418975i
\(521\) −8.78255 34.9285i −0.384771 1.53025i −0.788306 0.615283i \(-0.789042\pi\)
0.403536 0.914964i \(-0.367781\pi\)
\(522\) −2.64295 + 6.60362i −0.115679 + 0.289032i
\(523\) 15.7564 + 33.0657i 0.688979 + 1.44586i 0.885155 + 0.465295i \(0.154052\pi\)
−0.196176 + 0.980569i \(0.562852\pi\)
\(524\) −4.63097 9.56036i −0.202305 0.417646i
\(525\) 0.410282 + 0.244522i 0.0179062 + 0.0106718i
\(526\) −1.26883 0.105784i −0.0553238 0.00461240i
\(527\) −12.8121 8.08719i −0.558105 0.352283i
\(528\) 1.09417 3.56844i 0.0476178 0.155297i
\(529\) −5.62896 + 1.20651i −0.244737 + 0.0524572i
\(530\) −14.5492 2.44294i −0.631977 0.106115i
\(531\) 9.76952 + 19.2193i 0.423961 + 0.834048i
\(532\) −24.1186 3.73305i −1.04567 0.161848i
\(533\) −2.19410 3.04854i −0.0950369 0.132047i
\(534\) −6.53529 + 1.01153i −0.282810 + 0.0437730i
\(535\) 7.69840 + 7.82254i 0.332831 + 0.338198i
\(536\) −1.24599 + 4.70017i −0.0538184 + 0.203016i
\(537\) −1.87030 2.67006i −0.0807094 0.115221i
\(538\) 26.9472 11.4916i 1.16178 0.495438i
\(539\) −20.3775 26.4833i −0.877722 1.14072i
\(540\) −0.861662 2.19351i −0.0370800 0.0943938i
\(541\) 1.26779 1.32164i 0.0545065 0.0568219i −0.693844 0.720125i \(-0.744084\pi\)
0.748351 + 0.663303i \(0.230846\pi\)
\(542\) 1.11473 3.55420i 0.0478820 0.152666i
\(543\) −0.223780 + 4.65969i −0.00960330 + 0.199967i
\(544\) 25.2649 9.83145i 1.08322 0.421520i
\(545\) −10.4393 + 1.20765i −0.447171 + 0.0517298i
\(546\) 2.87913 4.72713i 0.123216 0.202302i
\(547\) 1.19879 + 22.0206i 0.0512567 + 0.941532i 0.906210 + 0.422827i \(0.138962\pi\)
−0.854953 + 0.518705i \(0.826414\pi\)
\(548\) 0.282226 2.13931i 0.0120561 0.0913868i
\(549\) −1.04549 + 6.61468i −0.0446205 + 0.282307i
\(550\) −2.51425 + 0.0321759i −0.107208 + 0.00137199i
\(551\) −10.2689 + 3.32931i −0.437471 + 0.141834i
\(552\) −0.504313 2.55134i −0.0214650 0.108592i
\(553\) 2.60598 9.11992i 0.110817 0.387819i
\(554\) −0.329013 2.37659i −0.0139784 0.100972i
\(555\) −3.76141 + 3.27656i −0.159663 + 0.139082i
\(556\) −11.2250 + 5.30493i −0.476048 + 0.224979i
\(557\) 0.157563 1.03998i 0.00667614 0.0440655i −0.985133 0.171791i \(-0.945045\pi\)
0.991810 + 0.127725i \(0.0407676\pi\)
\(558\) −8.37905 7.88461i −0.354713 0.333782i
\(559\) −3.92993 + 17.0031i −0.166218 + 0.719154i
\(560\) 29.5331 32.8280i 1.24800 1.38724i
\(561\) 4.80927 + 0.775915i 0.203048 + 0.0327592i
\(562\) 16.3060 1.67516i 0.687826 0.0706623i
\(563\) 18.6112 27.3066i 0.784370 1.15084i −0.200863 0.979619i \(-0.564375\pi\)
0.985233 0.171217i \(-0.0547701\pi\)
\(564\) 0.426017 0.361620i 0.0179386 0.0152269i
\(565\) −18.0772 + 10.6176i −0.760512 + 0.446684i
\(566\) −26.4743 + 17.1886i −1.11280 + 0.722490i
\(567\) 22.0691 + 27.9347i 0.926813 + 1.17315i
\(568\) 1.61295 5.51099i 0.0676780 0.231236i
\(569\) 11.8001 + 34.5049i 0.494686 + 1.44652i 0.857414 + 0.514627i \(0.172069\pi\)
−0.362728 + 0.931895i \(0.618155\pi\)
\(570\) 3.03521 5.52605i 0.127131 0.231461i
\(571\) −20.2992 32.8533i −0.849493 1.37487i −0.925891 0.377790i \(-0.876684\pi\)
0.0763979 0.997077i \(-0.475658\pi\)
\(572\) 0.0261888 + 8.18608i 0.00109501 + 0.342277i
\(573\) −0.798683 1.23881i −0.0333654 0.0517520i
\(574\) 5.29578 + 5.88660i 0.221041 + 0.245702i
\(575\) −2.23975 + 1.23954i −0.0934041 + 0.0516923i
\(576\) −8.42498 + 1.52573i −0.351041 + 0.0635719i
\(577\) 25.4081 5.61626i 1.05775 0.233808i 0.347446 0.937700i \(-0.387049\pi\)
0.710307 + 0.703892i \(0.248556\pi\)
\(578\) 20.1242 + 36.0898i 0.837055 + 1.50114i
\(579\) 0.386892 + 1.26178i 0.0160787 + 0.0524376i
\(580\) −0.631949 + 2.32374i −0.0262402 + 0.0964879i
\(581\) 9.43017 75.1891i 0.391229 3.11937i
\(582\) 0.916850 0.919788i 0.0380046 0.0381264i
\(583\) 10.2301 8.24267i 0.423686 0.341377i
\(584\) −3.58115 0.0687488i −0.148189 0.00284484i
\(585\) −12.9736 16.2075i −0.536392 0.670098i
\(586\) 3.03620 45.1251i 0.125424 1.86410i
\(587\) −4.10443 + 24.9325i −0.169408 + 1.02908i 0.757238 + 0.653140i \(0.226548\pi\)
−0.926646 + 0.375936i \(0.877321\pi\)
\(588\) −0.837232 + 1.78632i −0.0345269 + 0.0736667i
\(589\) 1.06075 17.4295i 0.0437073 0.718170i
\(590\) 14.3570 + 21.6551i 0.591070 + 0.891528i
\(591\) 2.80746 + 0.715474i 0.115483 + 0.0294307i
\(592\) −24.2493 42.2086i −0.996639 1.73476i
\(593\) −21.4186 + 25.0698i −0.879556 + 1.02949i 0.119770 + 0.992802i \(0.461784\pi\)
−0.999327 + 0.0366931i \(0.988318\pi\)
\(594\) 7.01241 + 2.57492i 0.287723 + 0.105650i
\(595\) 47.7273 + 32.3061i 1.95663 + 1.32442i
\(596\) −4.65892 + 11.2222i −0.190837 + 0.459681i
\(597\) 0.616265 0.325766i 0.0252221 0.0133327i
\(598\) 14.1146 + 26.0920i 0.577189 + 1.06698i
\(599\) −13.6410 35.3893i −0.557356 1.44597i −0.868541 0.495617i \(-0.834942\pi\)
0.311185 0.950349i \(-0.399274\pi\)
\(600\) −0.108847 0.204326i −0.00444366 0.00834157i
\(601\) −31.3776 + 29.9068i −1.27992 + 1.21993i −0.317529 + 0.948249i \(0.602853\pi\)
−0.962389 + 0.271676i \(0.912422\pi\)
\(602\) 4.34462 36.5323i 0.177074 1.48895i
\(603\) −6.69825 2.17166i −0.272774 0.0884367i
\(604\) 2.06783 + 0.641292i 0.0841388 + 0.0260938i
\(605\) 1.42593 1.64754i 0.0579721 0.0669821i
\(606\) 6.01745 0.657124i 0.244442 0.0266938i
\(607\) −15.6437 12.6046i −0.634956 0.511604i 0.255419 0.966830i \(-0.417786\pi\)
−0.890376 + 0.455226i \(0.849558\pi\)
\(608\) 23.9494 + 20.0669i 0.971277 + 0.813822i
\(609\) 0.0417419 + 1.44934i 0.00169147 + 0.0587303i
\(610\) −0.335546 + 8.06343i −0.0135859 + 0.326479i
\(611\) 5.33278 8.38888i 0.215741 0.339378i
\(612\) 4.62939 + 14.1247i 0.187132 + 0.570957i
\(613\) −10.8848 8.54286i −0.439634 0.345043i 0.372986 0.927837i \(-0.378334\pi\)
−0.812620 + 0.582794i \(0.801959\pi\)
\(614\) 11.5595 + 23.4799i 0.466505 + 0.947571i
\(615\) −0.532825 + 0.215231i −0.0214856 + 0.00867896i
\(616\) 3.00724 + 26.7449i 0.121165 + 1.07758i
\(617\) −5.67494 + 0.181614i −0.228465 + 0.00731148i −0.146009 0.989283i \(-0.546643\pi\)
−0.0824556 + 0.996595i \(0.526276\pi\)
\(618\) 2.46990 0.942973i 0.0993541 0.0379319i
\(619\) −30.5668 11.4464i −1.22858 0.460070i −0.349588 0.936904i \(-0.613678\pi\)
−0.878993 + 0.476834i \(0.841784\pi\)
\(620\) −3.12478 2.32573i −0.125494 0.0934038i
\(621\) 7.52991 1.06700i 0.302165 0.0428170i
\(622\) −2.53173 9.30941i −0.101513 0.373273i
\(623\) 58.9165 37.1889i 2.36044 1.48994i
\(624\) −3.47710 + 1.80967i −0.139196 + 0.0724449i
\(625\) 15.5993 16.0550i 0.623972 0.642201i
\(626\) 21.5388 37.4908i 0.860864 1.49843i
\(627\) 1.88457 + 5.28868i 0.0752625 + 0.211210i
\(628\) 0.646416 + 6.49659i 0.0257948 + 0.259242i
\(629\) 50.2290 38.9050i 2.00276 1.55124i
\(630\) 30.8976 + 30.9966i 1.23099 + 1.23493i
\(631\) −32.5015 3.54927i −1.29387 0.141294i −0.564509 0.825427i \(-0.690934\pi\)
−0.729357 + 0.684133i \(0.760181\pi\)
\(632\) −3.36829 + 3.12914i −0.133983 + 0.124470i
\(633\) 1.26666 3.48397i 0.0503452 0.138476i
\(634\) −2.97484 20.5210i −0.118146 0.814992i
\(635\) −45.1893 8.78225i −1.79328 0.348513i
\(636\) −0.709497 0.313353i −0.0281334 0.0124253i
\(637\) −4.81243 + 34.7621i −0.190675 + 1.37732i
\(638\) −4.17717 6.38893i −0.165376 0.252940i
\(639\) 7.84179 + 2.76611i 0.310217 + 0.109425i
\(640\) −26.9474 + 8.16851i −1.06519 + 0.322889i
\(641\) −19.9941 9.13803i −0.789720 0.360931i −0.0203980 0.999792i \(-0.506493\pi\)
−0.769322 + 0.638861i \(0.779406\pi\)
\(642\) 1.03453 + 1.77433i 0.0408295 + 0.0700272i
\(643\) 33.3969 31.4262i 1.31704 1.23933i 0.365873 0.930665i \(-0.380771\pi\)
0.951172 0.308662i \(-0.0998812\pi\)
\(644\) −9.98750 14.4542i −0.393562 0.569574i
\(645\) 2.38399 + 1.20224i 0.0938696 + 0.0473383i
\(646\) −42.6441 + 68.0401i −1.67781 + 2.67700i
\(647\) −4.34842 3.36808i −0.170954 0.132413i 0.523284 0.852158i \(-0.324707\pi\)
−0.694238 + 0.719745i \(0.744259\pi\)
\(648\) −2.14742 17.1219i −0.0843584 0.672611i
\(649\) −22.9085 3.24615i −0.899235 0.127423i
\(650\) 1.87621 + 1.85829i 0.0735909 + 0.0728880i
\(651\) −2.20676 0.794322i −0.0864896 0.0311319i
\(652\) 12.7727 + 5.35057i 0.500218 + 0.209544i
\(653\) 0.579495 + 6.69215i 0.0226774 + 0.261884i 0.998968 + 0.0454200i \(0.0144626\pi\)
−0.976291 + 0.216464i \(0.930548\pi\)
\(654\) −1.94889 0.263452i −0.0762078 0.0103018i
\(655\) −25.2059 + 14.1610i −0.984876 + 0.553317i
\(656\) −1.05218 5.50808i −0.0410809 0.215055i
\(657\) 0.381311 5.17284i 0.0148764 0.201812i
\(658\) −9.25594 + 18.8008i −0.360834 + 0.732930i
\(659\) 39.8754 19.1581i 1.55332 0.746293i 0.556883 0.830591i \(-0.311997\pi\)
0.996441 + 0.0842981i \(0.0268648\pi\)
\(660\) 1.21751 + 0.293740i 0.0473915 + 0.0114338i
\(661\) −6.01201 + 8.02381i −0.233840 + 0.312090i −0.901839 0.432072i \(-0.857783\pi\)
0.667999 + 0.744162i \(0.267151\pi\)
\(662\) 38.6305 44.0615i 1.50142 1.71250i
\(663\) −2.96195 4.17145i −0.115033 0.162006i
\(664\) −22.7697 + 28.8216i −0.883638 + 1.11850i
\(665\) −6.15363 + 66.1373i −0.238628 + 2.56470i
\(666\) 43.0788 21.7246i 1.66927 0.841810i
\(667\) −6.82329 3.71936i −0.264199 0.144014i
\(668\) 8.36572 16.7217i 0.323679 0.646982i
\(669\) 1.45057 0.651775i 0.0560823 0.0251991i
\(670\) −8.31944 1.67214i −0.321408 0.0646003i
\(671\) −5.17044 4.99162i −0.199603 0.192699i
\(672\) 3.49033 2.33015i 0.134642 0.0898874i
\(673\) −12.5711 + 38.3557i −0.484582 + 1.47850i 0.354790 + 0.934946i \(0.384552\pi\)
−0.839372 + 0.543558i \(0.817077\pi\)
\(674\) −17.0626 20.7654i −0.657226 0.799853i
\(675\) 0.613919 0.285346i 0.0236298 0.0109830i
\(676\) −1.10904 + 1.09844i −0.0426552 + 0.0422478i
\(677\) −5.42131 + 4.03501i −0.208358 + 0.155078i −0.696186 0.717861i \(-0.745121\pi\)
0.487828 + 0.872940i \(0.337789\pi\)
\(678\) −3.76883 + 1.08998i −0.144741 + 0.0418604i
\(679\) −5.00260 + 12.7350i −0.191982 + 0.488725i
\(680\) −11.6935 25.3705i −0.448424 0.972913i
\(681\) −0.0941823 4.20495i −0.00360907 0.161134i
\(682\) 12.0894 2.51045i 0.462926 0.0961299i
\(683\) 13.9976 14.7804i 0.535604 0.565555i −0.400941 0.916104i \(-0.631317\pi\)
0.936544 + 0.350549i \(0.114005\pi\)
\(684\) −11.6997 + 12.5134i −0.447351 + 0.478462i
\(685\) −5.85828 0.412999i −0.223833 0.0157799i
\(686\) 0.720682 25.0232i 0.0275158 0.955390i
\(687\) −0.744242 + 0.837996i −0.0283946 + 0.0319715i
\(688\) −16.0204 + 20.5473i −0.610772 + 0.783359i
\(689\) −13.7058 1.58552i −0.522151 0.0604036i
\(690\) 4.39079 1.14895i 0.167154 0.0437397i
\(691\) 6.07085 + 19.3562i 0.230946 + 0.736344i 0.995751 + 0.0920825i \(0.0293523\pi\)
−0.764806 + 0.644261i \(0.777165\pi\)
\(692\) 8.75287 + 4.34403i 0.332734 + 0.165135i
\(693\) −38.9093 + 2.24308i −1.47804 + 0.0852075i
\(694\) −4.62157 + 5.07154i −0.175432 + 0.192513i
\(695\) 16.2671 + 29.6168i 0.617048 + 1.12343i
\(696\) 0.346199 0.611625i 0.0131226 0.0231836i
\(697\) 6.93277 2.34615i 0.262597 0.0888666i
\(698\) 49.9095 + 9.03839i 1.88910 + 0.342108i
\(699\) 1.68875 0.0648631i 0.0638742 0.00245335i
\(700\) −1.22409 0.973438i −0.0462663 0.0367925i
\(701\) 9.79044 + 5.92017i 0.369780 + 0.223602i 0.690111 0.723704i \(-0.257562\pi\)
−0.320331 + 0.947306i \(0.603794\pi\)
\(702\) −3.23829 7.14580i −0.122221 0.269701i
\(703\) 67.1696 + 29.1537i 2.53335 + 1.09955i
\(704\) 3.84618 8.34476i 0.144958 0.314505i
\(705\) −1.05280 1.09753i −0.0396509 0.0413352i
\(706\) −10.3955 + 5.15925i −0.391239 + 0.194171i
\(707\) −55.3985 + 31.5917i −2.08347 + 1.18813i
\(708\) 0.450269 + 1.28963i 0.0169221 + 0.0484673i
\(709\) 33.3416 6.47973i 1.25217 0.243351i 0.479151 0.877733i \(-0.340945\pi\)
0.773020 + 0.634381i \(0.218745\pi\)
\(710\) 9.77073 + 2.22541i 0.366689 + 0.0835181i
\(711\) −4.25951 5.11678i −0.159744 0.191894i
\(712\) −33.7647 + 0.648195i −1.26539 + 0.0242922i
\(713\) 9.63513 8.07317i 0.360838 0.302342i
\(714\) 7.16194 + 8.06414i 0.268029 + 0.301793i
\(715\) 22.2339 1.42455i 0.831499 0.0532750i
\(716\) 4.89784 + 9.48467i 0.183041 + 0.354459i
\(717\) −0.544922 3.18295i −0.0203505 0.118870i
\(718\) −2.48776 15.7397i −0.0928422 0.587399i
\(719\) 29.0523 0.743711i 1.08347 0.0277358i 0.520228 0.854028i \(-0.325847\pi\)
0.563242 + 0.826292i \(0.309554\pi\)
\(720\) −7.36577 30.1072i −0.274506 1.12203i
\(721\) −19.9146 + 19.4736i −0.741660 + 0.725234i
\(722\) −60.7579 3.50263i −2.26117 0.130354i
\(723\) 3.61945 + 2.06404i 0.134609 + 0.0767625i
\(724\) 2.77016 15.0224i 0.102952 0.558303i
\(725\) −0.677323 0.140651i −0.0251551 0.00522365i
\(726\) 0.334720 0.232869i 0.0124226 0.00864259i
\(727\) −1.86978 + 1.16357i −0.0693465 + 0.0431545i −0.562583 0.826741i \(-0.690192\pi\)
0.493237 + 0.869895i \(0.335814\pi\)
\(728\) 17.8041 21.9527i 0.659862 0.813619i
\(729\) 23.9141 1.68590i 0.885707 0.0624409i
\(730\) −0.259891 6.24538i −0.00961899 0.231152i
\(731\) −29.4318 17.0343i −1.08857 0.630037i
\(732\) −0.121784 + 0.406438i −0.00450128 + 0.0150224i
\(733\) 7.93356 14.2277i 0.293033 0.525513i −0.686415 0.727210i \(-0.740817\pi\)
0.979448 + 0.201697i \(0.0646456\pi\)
\(734\) −25.1552 5.39177i −0.928494 0.199014i
\(735\) 4.99112 + 1.97908i 0.184100 + 0.0729995i
\(736\) 1.36635 + 22.4510i 0.0503645 + 0.827556i
\(737\) 6.03295 4.55052i 0.222226 0.167621i
\(738\) 5.50784 0.744550i 0.202746 0.0274073i
\(739\) 4.71490 + 21.0112i 0.173441 + 0.772908i 0.982662 + 0.185405i \(0.0593596\pi\)
−0.809222 + 0.587503i \(0.800111\pi\)
\(740\) 13.6429 8.98237i 0.501524 0.330198i
\(741\) 2.57046 5.30656i 0.0944282 0.194941i
\(742\) 29.0858 + 0.186104i 1.06777 + 0.00683209i
\(743\) 20.6572 + 22.0939i 0.757841 + 0.810545i 0.986638 0.162929i \(-0.0520942\pi\)
−0.228797 + 0.973474i \(0.573479\pi\)
\(744\) 0.716090 + 0.882948i 0.0262531 + 0.0323705i
\(745\) 31.2564 + 10.8010i 1.14515 + 0.395718i
\(746\) −27.3676 10.4485i −1.00200 0.382549i
\(747\) −39.8829 35.1933i −1.45924 1.28766i
\(748\) −15.2656 4.62743i −0.558165 0.169196i
\(749\) −17.4407 12.8083i −0.637269 0.468006i
\(750\) 3.95151 2.42410i 0.144289 0.0885155i
\(751\) 0.00834796 2.60940i 0.000304621 0.0952183i −0.998709 0.0508047i \(-0.983821\pi\)
0.999013 0.0444136i \(-0.0141419\pi\)
\(752\) 12.4990 8.00181i 0.455790 0.291796i
\(753\) −2.74966 + 2.65456i −0.100203 + 0.0967375i
\(754\) −1.70519 + 7.83313i −0.0620992 + 0.285266i
\(755\) 1.40025 5.72346i 0.0509604 0.208298i
\(756\) 2.36597 + 3.99888i 0.0860495 + 0.145438i
\(757\) 2.12357 2.15782i 0.0771826 0.0784271i −0.673069 0.739580i \(-0.735024\pi\)
0.750251 + 0.661153i \(0.229933\pi\)
\(758\) −7.72141 + 10.7283i −0.280454 + 0.389670i
\(759\) −1.83143 + 3.60293i −0.0664767 + 0.130778i
\(760\) 19.1404 25.8889i 0.694296 0.939090i
\(761\) −29.0525 + 43.2178i −1.05315 + 1.56664i −0.252423 + 0.967617i \(0.581227\pi\)
−0.800730 + 0.599026i \(0.795555\pi\)
\(762\) −7.78885 3.68099i −0.282160 0.133348i
\(763\) 19.9399 5.62881i 0.721874 0.203776i
\(764\) 2.04829 + 4.37025i 0.0741046 + 0.158110i
\(765\) 37.6056 14.9114i 1.35963 0.539121i
\(766\) −27.2827 + 4.58101i −0.985764 + 0.165519i
\(767\) 14.4457 + 19.5389i 0.521603 + 0.705508i
\(768\) −3.87711 + 0.173766i −0.139903 + 0.00627025i
\(769\) −23.7245 13.9345i −0.855527 0.502491i 0.0119730 0.999928i \(-0.496189\pi\)
−0.867500 + 0.497438i \(0.834274\pi\)