Properties

Label 576.2.bl.a.131.57
Level $576$
Weight $2$
Character 576.131
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 131.57
Character \(\chi\) \(=\) 576.131
Dual form 576.2.bl.a.299.57

$q$-expansion

\(f(q)\) \(=\) \(q+(0.488504 - 1.32716i) q^{2} +(0.847205 + 1.51071i) q^{3} +(-1.52273 - 1.29665i) q^{4} +(0.514607 + 1.04352i) q^{5} +(2.41882 - 0.386392i) q^{6} +(0.187771 - 0.244708i) q^{7} +(-2.46472 + 1.38749i) q^{8} +(-1.56449 + 2.55976i) q^{9} +O(q^{10})\) \(q+(0.488504 - 1.32716i) q^{2} +(0.847205 + 1.51071i) q^{3} +(-1.52273 - 1.29665i) q^{4} +(0.514607 + 1.04352i) q^{5} +(2.41882 - 0.386392i) q^{6} +(0.187771 - 0.244708i) q^{7} +(-2.46472 + 1.38749i) q^{8} +(-1.56449 + 2.55976i) q^{9} +(1.63631 - 0.173205i) q^{10} +(3.29021 + 3.75177i) q^{11} +(0.668798 - 3.39893i) q^{12} +(0.158010 + 2.41077i) q^{13} +(-0.233040 - 0.368743i) q^{14} +(-1.14048 + 1.66150i) q^{15} +(0.637402 + 3.94889i) q^{16} +(2.55365 - 2.55365i) q^{17} +(2.63296 + 3.32678i) q^{18} +(-1.60114 + 1.06984i) q^{19} +(0.569473 - 2.25626i) q^{20} +(0.528762 + 0.0763496i) q^{21} +(6.58649 - 2.53390i) q^{22} +(1.13072 + 1.47359i) q^{23} +(-4.18422 - 2.54799i) q^{24} +(2.21969 - 2.89276i) q^{25} +(3.27667 + 0.967963i) q^{26} +(-5.19250 - 0.194845i) q^{27} +(-0.603224 + 0.129150i) q^{28} +(-3.26084 + 1.10691i) q^{29} +(1.64795 + 2.32525i) q^{30} +(3.19670 - 5.53685i) q^{31} +(5.55220 + 1.08311i) q^{32} +(-2.88035 + 8.14907i) q^{33} +(-2.14164 - 4.63658i) q^{34} +(0.351986 + 0.0700143i) q^{35} +(5.70140 - 1.86923i) q^{36} +(-4.02189 + 6.01919i) q^{37} +(0.637698 + 2.64759i) q^{38} +(-3.50810 + 2.28112i) q^{39} +(-2.71624 - 1.85798i) q^{40} +(3.33245 - 2.55708i) q^{41} +(0.359631 - 0.664457i) q^{42} +(6.49409 + 7.40510i) q^{43} +(-0.145372 - 9.97917i) q^{44} +(-3.47626 - 0.315303i) q^{45} +(2.50805 - 0.780802i) q^{46} +(2.20023 - 8.21139i) q^{47} +(-5.42561 + 4.30845i) q^{48} +(1.78711 + 6.66958i) q^{49} +(-2.75484 - 4.35902i) q^{50} +(6.02128 + 1.69436i) q^{51} +(2.88531 - 3.87582i) q^{52} +(-2.35372 - 11.8330i) q^{53} +(-2.79515 + 6.79611i) q^{54} +(-2.22188 + 5.36409i) q^{55} +(-0.123273 + 0.863667i) q^{56} +(-2.97271 - 1.51247i) q^{57} +(-0.123887 + 4.86840i) q^{58} +(7.19292 - 3.54716i) q^{59} +(3.89102 - 1.05121i) q^{60} +(-9.82675 + 3.33573i) q^{61} +(-5.78671 - 6.94732i) q^{62} +(0.332628 + 0.863490i) q^{63} +(4.14973 - 6.83957i) q^{64} +(-2.43437 + 1.40548i) q^{65} +(9.40809 + 7.80354i) q^{66} +(-1.15236 + 1.31402i) q^{67} +(-7.19970 + 0.577326i) q^{68} +(-1.26821 + 2.95662i) q^{69} +(0.264867 - 0.432940i) q^{70} +(-2.20113 + 0.911737i) q^{71} +(0.304383 - 8.47982i) q^{72} +(-14.2547 - 5.90448i) q^{73} +(6.02374 + 8.27811i) q^{74} +(6.25066 + 0.902551i) q^{75} +(3.82531 + 0.447028i) q^{76} +(1.53589 - 0.100668i) q^{77} +(1.31370 + 5.77016i) q^{78} +(0.851815 - 3.17902i) q^{79} +(-3.79273 + 2.69727i) q^{80} +(-4.10476 - 8.00943i) q^{81} +(-1.76575 - 5.67184i) q^{82} +(1.81166 - 3.67369i) q^{83} +(-0.706163 - 0.801879i) q^{84} +(3.97891 + 1.35066i) q^{85} +(13.0002 - 5.00131i) q^{86} +(-4.43481 - 3.98841i) q^{87} +(-13.3150 - 4.68193i) q^{88} +(-5.13833 + 2.12836i) q^{89} +(-2.11663 + 4.45954i) q^{90} +(0.619602 + 0.414005i) q^{91} +(0.188941 - 3.71002i) q^{92} +(11.0728 + 0.138442i) q^{93} +(-9.82303 - 6.93136i) q^{94} +(-1.94036 - 1.12027i) q^{95} +(3.06758 + 9.30537i) q^{96} +(-4.17958 + 2.41308i) q^{97} +(9.72464 + 0.886329i) q^{98} +(-14.7511 + 2.55256i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 24q^{2} - 16q^{3} - 8q^{4} - 24q^{5} - 16q^{6} - 8q^{7} - 16q^{9} + O(q^{10}) \) \( 1504q - 24q^{2} - 16q^{3} - 8q^{4} - 24q^{5} - 16q^{6} - 8q^{7} - 16q^{9} - 32q^{10} - 24q^{11} - 16q^{12} - 8q^{13} - 24q^{14} - 16q^{15} - 8q^{16} - 16q^{18} - 32q^{19} - 24q^{20} - 16q^{21} - 8q^{22} - 24q^{23} - 96q^{24} - 8q^{25} - 16q^{27} - 32q^{28} - 24q^{29} + 64q^{30} - 16q^{31} - 24q^{32} - 8q^{34} + 64q^{36} - 32q^{37} - 24q^{38} - 16q^{39} - 8q^{40} - 24q^{41} - 96q^{42} - 8q^{43} - 16q^{45} - 32q^{46} - 24q^{47} - 16q^{48} - 8q^{49} - 24q^{50} - 16q^{51} - 8q^{52} - 16q^{54} - 32q^{55} - 24q^{56} - 16q^{57} + 64q^{58} - 24q^{59} - 16q^{60} - 8q^{61} - 32q^{64} - 48q^{65} - 8q^{67} - 24q^{68} - 16q^{69} - 8q^{70} - 16q^{72} - 32q^{73} - 24q^{74} - 16q^{75} - 56q^{76} - 24q^{77} - 40q^{78} - 8q^{79} - 16q^{81} - 32q^{82} - 24q^{83} - 128q^{84} - 8q^{85} - 24q^{86} - 16q^{87} - 8q^{88} - 160q^{90} - 32q^{91} - 480q^{92} + 8q^{93} - 8q^{94} - 48q^{95} - 152q^{96} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.488504 1.32716i 0.345424 0.938447i
\(3\) 0.847205 + 1.51071i 0.489134 + 0.872209i
\(4\) −1.52273 1.29665i −0.761364 0.648325i
\(5\) 0.514607 + 1.04352i 0.230139 + 0.466677i 0.981057 0.193719i \(-0.0620551\pi\)
−0.750918 + 0.660396i \(0.770388\pi\)
\(6\) 2.41882 0.386392i 0.987480 0.157744i
\(7\) 0.187771 0.244708i 0.0709707 0.0924908i −0.756519 0.653972i \(-0.773102\pi\)
0.827490 + 0.561481i \(0.189768\pi\)
\(8\) −2.46472 + 1.38749i −0.871412 + 0.490552i
\(9\) −1.56449 + 2.55976i −0.521496 + 0.853254i
\(10\) 1.63631 0.173205i 0.517447 0.0547721i
\(11\) 3.29021 + 3.75177i 0.992036 + 1.13120i 0.991356 + 0.131200i \(0.0418831\pi\)
0.000680077 1.00000i \(0.499784\pi\)
\(12\) 0.668798 3.39893i 0.193065 0.981186i
\(13\) 0.158010 + 2.41077i 0.0438241 + 0.668626i 0.962102 + 0.272690i \(0.0879132\pi\)
−0.918278 + 0.395936i \(0.870420\pi\)
\(14\) −0.233040 0.368743i −0.0622827 0.0985507i
\(15\) −1.14048 + 1.66150i −0.294470 + 0.428997i
\(16\) 0.637402 + 3.94889i 0.159351 + 0.987222i
\(17\) 2.55365 2.55365i 0.619351 0.619351i −0.326014 0.945365i \(-0.605706\pi\)
0.945365 + 0.326014i \(0.105706\pi\)
\(18\) 2.63296 + 3.32678i 0.620596 + 0.784131i
\(19\) −1.60114 + 1.06984i −0.367326 + 0.245439i −0.725510 0.688212i \(-0.758396\pi\)
0.358184 + 0.933651i \(0.383396\pi\)
\(20\) 0.569473 2.25626i 0.127338 0.504516i
\(21\) 0.528762 + 0.0763496i 0.115385 + 0.0166609i
\(22\) 6.58649 2.53390i 1.40424 0.540229i
\(23\) 1.13072 + 1.47359i 0.235772 + 0.307264i 0.896222 0.443606i \(-0.146301\pi\)
−0.660450 + 0.750870i \(0.729634\pi\)
\(24\) −4.18422 2.54799i −0.854101 0.520107i
\(25\) 2.21969 2.89276i 0.443939 0.578552i
\(26\) 3.27667 + 0.967963i 0.642608 + 0.189833i
\(27\) −5.19250 0.194845i −0.999297 0.0374979i
\(28\) −0.603224 + 0.129150i −0.113999 + 0.0244071i
\(29\) −3.26084 + 1.10691i −0.605523 + 0.205547i −0.607328 0.794451i \(-0.707759\pi\)
0.00180546 + 0.999998i \(0.499425\pi\)
\(30\) 1.64795 + 2.32525i 0.300874 + 0.424531i
\(31\) 3.19670 5.53685i 0.574145 0.994448i −0.421989 0.906601i \(-0.638668\pi\)
0.996134 0.0878469i \(-0.0279986\pi\)
\(32\) 5.55220 + 1.08311i 0.981499 + 0.191469i
\(33\) −2.88035 + 8.14907i −0.501404 + 1.41857i
\(34\) −2.14164 4.63658i −0.367289 0.795166i
\(35\) 0.351986 + 0.0700143i 0.0594964 + 0.0118346i
\(36\) 5.70140 1.86923i 0.950234 0.311538i
\(37\) −4.02189 + 6.01919i −0.661195 + 0.989548i 0.337639 + 0.941276i \(0.390372\pi\)
−0.998834 + 0.0482728i \(0.984628\pi\)
\(38\) 0.637698 + 2.64759i 0.103448 + 0.429496i
\(39\) −3.50810 + 2.28112i −0.561746 + 0.365271i
\(40\) −2.71624 1.85798i −0.429476 0.293772i
\(41\) 3.33245 2.55708i 0.520441 0.399348i −0.314863 0.949137i \(-0.601959\pi\)
0.835304 + 0.549789i \(0.185292\pi\)
\(42\) 0.359631 0.664457i 0.0554923 0.102528i
\(43\) 6.49409 + 7.40510i 0.990340 + 1.12927i 0.991610 + 0.129267i \(0.0412625\pi\)
−0.00126964 + 0.999999i \(0.500404\pi\)
\(44\) −0.145372 9.97917i −0.0219157 1.50442i
\(45\) −3.47626 0.315303i −0.518210 0.0470026i
\(46\) 2.50805 0.780802i 0.369792 0.115123i
\(47\) 2.20023 8.21139i 0.320937 1.19775i −0.597396 0.801946i \(-0.703798\pi\)
0.918333 0.395808i \(-0.129535\pi\)
\(48\) −5.42561 + 4.30845i −0.783120 + 0.621871i
\(49\) 1.78711 + 6.66958i 0.255301 + 0.952798i
\(50\) −2.75484 4.35902i −0.389593 0.616459i
\(51\) 6.02128 + 1.69436i 0.843149 + 0.237258i
\(52\) 2.88531 3.87582i 0.400121 0.537480i
\(53\) −2.35372 11.8330i −0.323308 1.62538i −0.710720 0.703475i \(-0.751631\pi\)
0.387412 0.921907i \(-0.373369\pi\)
\(54\) −2.79515 + 6.79611i −0.380371 + 0.924834i
\(55\) −2.22188 + 5.36409i −0.299598 + 0.723294i
\(56\) −0.123273 + 0.863667i −0.0164731 + 0.115412i
\(57\) −2.97271 1.51247i −0.393746 0.200332i
\(58\) −0.123887 + 4.86840i −0.0162671 + 0.639252i
\(59\) 7.19292 3.54716i 0.936439 0.461801i 0.0909870 0.995852i \(-0.470998\pi\)
0.845452 + 0.534051i \(0.179331\pi\)
\(60\) 3.89102 1.05121i 0.502328 0.135711i
\(61\) −9.82675 + 3.33573i −1.25819 + 0.427097i −0.869344 0.494207i \(-0.835458\pi\)
−0.388843 + 0.921304i \(0.627125\pi\)
\(62\) −5.78671 6.94732i −0.734912 0.882310i
\(63\) 0.332628 + 0.863490i 0.0419072 + 0.108790i
\(64\) 4.14973 6.83957i 0.518717 0.854946i
\(65\) −2.43437 + 1.40548i −0.301946 + 0.174329i
\(66\) 9.40809 + 7.80354i 1.15806 + 0.960550i
\(67\) −1.15236 + 1.31402i −0.140784 + 0.160533i −0.817935 0.575311i \(-0.804881\pi\)
0.677151 + 0.735844i \(0.263214\pi\)
\(68\) −7.19970 + 0.577326i −0.873092 + 0.0700111i
\(69\) −1.26821 + 2.95662i −0.152674 + 0.355936i
\(70\) 0.264867 0.432940i 0.0316576 0.0517463i
\(71\) −2.20113 + 0.911737i −0.261226 + 0.108203i −0.509453 0.860499i \(-0.670152\pi\)
0.248227 + 0.968702i \(0.420152\pi\)
\(72\) 0.304383 8.47982i 0.0358719 0.999356i
\(73\) −14.2547 5.90448i −1.66838 0.691068i −0.669714 0.742619i \(-0.733583\pi\)
−0.998670 + 0.0515513i \(0.983583\pi\)
\(74\) 6.02374 + 8.27811i 0.700246 + 0.962310i
\(75\) 6.25066 + 0.902551i 0.721764 + 0.104218i
\(76\) 3.82531 + 0.447028i 0.438793 + 0.0512777i
\(77\) 1.53589 0.100668i 0.175031 0.0114721i
\(78\) 1.31370 + 5.77016i 0.148747 + 0.653342i
\(79\) 0.851815 3.17902i 0.0958366 0.357667i −0.901308 0.433178i \(-0.857392\pi\)
0.997145 + 0.0755109i \(0.0240588\pi\)
\(80\) −3.79273 + 2.69727i −0.424041 + 0.301564i
\(81\) −4.10476 8.00943i −0.456084 0.889937i
\(82\) −1.76575 5.67184i −0.194994 0.626350i
\(83\) 1.81166 3.67369i 0.198856 0.403240i −0.774489 0.632588i \(-0.781993\pi\)
0.973345 + 0.229348i \(0.0736593\pi\)
\(84\) −0.706163 0.801879i −0.0770487 0.0874922i
\(85\) 3.97891 + 1.35066i 0.431573 + 0.146499i
\(86\) 13.0002 5.00131i 1.40184 0.539305i
\(87\) −4.43481 3.98841i −0.475462 0.427602i
\(88\) −13.3150 4.68193i −1.41938 0.499095i
\(89\) −5.13833 + 2.12836i −0.544662 + 0.225606i −0.638011 0.770027i \(-0.720243\pi\)
0.0933495 + 0.995633i \(0.470243\pi\)
\(90\) −2.11663 + 4.45954i −0.223112 + 0.470077i
\(91\) 0.619602 + 0.414005i 0.0649520 + 0.0433995i
\(92\) 0.188941 3.71002i 0.0196985 0.386797i
\(93\) 11.0728 + 0.138442i 1.14820 + 0.0143558i
\(94\) −9.82303 6.93136i −1.01317 0.714916i
\(95\) −1.94036 1.12027i −0.199077 0.114937i
\(96\) 3.06758 + 9.30537i 0.313084 + 0.949725i
\(97\) −4.17958 + 2.41308i −0.424372 + 0.245011i −0.696946 0.717124i \(-0.745458\pi\)
0.272574 + 0.962135i \(0.412125\pi\)
\(98\) 9.72464 + 0.886329i 0.982337 + 0.0895328i
\(99\) −14.7511 + 2.55256i −1.48254 + 0.256542i
\(100\) −7.13088 + 1.52672i −0.713088 + 0.152672i
\(101\) 0.383385 5.84933i 0.0381483 0.582030i −0.935406 0.353575i \(-0.884966\pi\)
0.973554 0.228455i \(-0.0733674\pi\)
\(102\) 5.19011 7.16353i 0.513898 0.709295i
\(103\) 1.30454 9.90896i 0.128540 0.976359i −0.798657 0.601786i \(-0.794456\pi\)
0.927197 0.374573i \(-0.122211\pi\)
\(104\) −3.73437 5.72263i −0.366185 0.561150i
\(105\) 0.192433 + 0.591065i 0.0187795 + 0.0576820i
\(106\) −16.8541 2.65667i −1.63701 0.258038i
\(107\) −3.03700 15.2680i −0.293598 1.47601i −0.792775 0.609515i \(-0.791364\pi\)
0.499177 0.866500i \(-0.333636\pi\)
\(108\) 7.65412 + 7.02954i 0.736518 + 0.676418i
\(109\) −4.49870 6.73278i −0.430897 0.644884i 0.550954 0.834536i \(-0.314264\pi\)
−0.981851 + 0.189652i \(0.939264\pi\)
\(110\) 6.03363 + 5.56917i 0.575284 + 0.531000i
\(111\) −12.5006 0.976427i −1.18651 0.0926784i
\(112\) 1.08601 + 0.585509i 0.102618 + 0.0553254i
\(113\) −1.88863 + 0.506056i −0.177667 + 0.0476057i −0.346556 0.938029i \(-0.612649\pi\)
0.168889 + 0.985635i \(0.445982\pi\)
\(114\) −3.45948 + 3.20643i −0.324010 + 0.300310i
\(115\) −0.955839 + 1.93825i −0.0891325 + 0.180743i
\(116\) 6.40064 + 2.54265i 0.594284 + 0.236079i
\(117\) −6.41819 3.36715i −0.593362 0.311293i
\(118\) −1.19389 11.2790i −0.109906 1.03832i
\(119\) −0.145397 1.10440i −0.0133285 0.101240i
\(120\) 0.505651 5.67754i 0.0461594 0.518286i
\(121\) −1.81448 + 13.7823i −0.164952 + 1.25294i
\(122\) −0.373341 + 14.6712i −0.0338007 + 1.32827i
\(123\) 6.68626 + 2.86799i 0.602880 + 0.258598i
\(124\) −12.0471 + 4.28612i −1.08186 + 0.384905i
\(125\) 9.86669 + 1.96261i 0.882504 + 0.175541i
\(126\) 1.30848 0.0196336i 0.116569 0.00174910i
\(127\) 2.74800i 0.243845i 0.992540 + 0.121923i \(0.0389060\pi\)
−0.992540 + 0.121923i \(0.961094\pi\)
\(128\) −7.05007 8.84853i −0.623144 0.782107i
\(129\) −5.68512 + 16.0843i −0.500547 + 1.41615i
\(130\) 0.676109 + 3.91739i 0.0592987 + 0.343578i
\(131\) 6.12886 + 5.37486i 0.535481 + 0.469604i 0.883861 0.467749i \(-0.154935\pi\)
−0.348380 + 0.937353i \(0.613268\pi\)
\(132\) 14.9525 8.67402i 1.30145 0.754976i
\(133\) −0.0388473 + 0.592695i −0.00336849 + 0.0513932i
\(134\) 1.18098 + 2.17128i 0.102021 + 0.187570i
\(135\) −2.46877 5.51875i −0.212478 0.474978i
\(136\) −2.75087 + 9.83721i −0.235885 + 0.843533i
\(137\) 4.18121 0.550467i 0.357225 0.0470296i 0.0502219 0.998738i \(-0.484007\pi\)
0.307003 + 0.951709i \(0.400674\pi\)
\(138\) 3.30440 + 3.12744i 0.281289 + 0.266225i
\(139\) 19.5952 + 6.65168i 1.66205 + 0.564189i 0.985121 0.171863i \(-0.0549788\pi\)
0.676925 + 0.736052i \(0.263312\pi\)
\(140\) −0.445194 0.563015i −0.0376258 0.0475834i
\(141\) 14.2691 3.63281i 1.20167 0.305938i
\(142\) 0.134765 + 3.36664i 0.0113092 + 0.282523i
\(143\) −8.52474 + 8.52474i −0.712875 + 0.712875i
\(144\) −11.1054 4.54639i −0.925452 0.378866i
\(145\) −2.83313 2.83313i −0.235279 0.235279i
\(146\) −14.7997 + 16.0339i −1.22483 + 1.32698i
\(147\) −8.56176 + 8.35031i −0.706162 + 0.688722i
\(148\) 13.9290 3.95060i 1.14496 0.324738i
\(149\) −0.848817 + 2.50053i −0.0695378 + 0.204852i −0.976143 0.217128i \(-0.930331\pi\)
0.906605 + 0.421979i \(0.138665\pi\)
\(150\) 4.25130 7.85474i 0.347117 0.641337i
\(151\) −0.957514 7.27304i −0.0779214 0.591872i −0.985208 0.171360i \(-0.945184\pi\)
0.907287 0.420512i \(-0.138149\pi\)
\(152\) 2.46196 4.85843i 0.199691 0.394071i
\(153\) 2.54158 + 10.5319i 0.205474 + 0.851452i
\(154\) 0.616686 2.08756i 0.0496940 0.168220i
\(155\) 7.42286 + 0.486520i 0.596219 + 0.0390782i
\(156\) 8.29969 + 1.07525i 0.664507 + 0.0860889i
\(157\) −9.11449 + 10.3931i −0.727416 + 0.829459i −0.990814 0.135228i \(-0.956823\pi\)
0.263399 + 0.964687i \(0.415157\pi\)
\(158\) −3.80296 2.68346i −0.302547 0.213485i
\(159\) 15.8821 13.5807i 1.25953 1.07702i
\(160\) 1.72695 + 6.35121i 0.136528 + 0.502107i
\(161\) 0.572914 0.0451520
\(162\) −12.6350 + 1.53505i −0.992701 + 0.120605i
\(163\) −1.77768 + 8.93698i −0.139238 + 0.699998i 0.846591 + 0.532245i \(0.178651\pi\)
−0.985829 + 0.167754i \(0.946349\pi\)
\(164\) −8.39004 0.427282i −0.655152 0.0333651i
\(165\) −9.98597 + 1.18787i −0.777407 + 0.0924755i
\(166\) −3.99059 4.19899i −0.309730 0.325905i
\(167\) 21.4618 + 2.82549i 1.66076 + 0.218643i 0.901696 0.432371i \(-0.142323\pi\)
0.759065 + 0.651014i \(0.225656\pi\)
\(168\) −1.40919 + 0.545473i −0.108721 + 0.0420841i
\(169\) 7.10196 0.934991i 0.546305 0.0719224i
\(170\) 3.73626 4.62087i 0.286558 0.354404i
\(171\) −0.233590 5.77228i −0.0178630 0.441417i
\(172\) −0.286930 19.6965i −0.0218782 1.50184i
\(173\) 5.19745 + 2.56310i 0.395155 + 0.194869i 0.629000 0.777405i \(-0.283464\pi\)
−0.233846 + 0.972274i \(0.575131\pi\)
\(174\) −7.45969 + 3.93737i −0.565518 + 0.298491i
\(175\) −0.291087 1.08635i −0.0220041 0.0821204i
\(176\) −12.7181 + 15.3841i −0.958664 + 1.15962i
\(177\) 11.4526 + 7.86125i 0.860831 + 0.590888i
\(178\) 0.314597 + 7.85912i 0.0235800 + 0.589066i
\(179\) −5.77677 + 3.85992i −0.431776 + 0.288504i −0.752404 0.658702i \(-0.771106\pi\)
0.320628 + 0.947205i \(0.396106\pi\)
\(180\) 4.88456 + 4.98761i 0.364074 + 0.371755i
\(181\) −12.7319 + 2.53252i −0.946351 + 0.188241i −0.644060 0.764975i \(-0.722751\pi\)
−0.302291 + 0.953216i \(0.597751\pi\)
\(182\) 0.852130 0.620071i 0.0631641 0.0459627i
\(183\) −13.3646 12.0193i −0.987940 0.888494i
\(184\) −4.83151 2.06312i −0.356184 0.152095i
\(185\) −8.35084 1.09941i −0.613966 0.0808302i
\(186\) 5.59286 14.6278i 0.410088 1.07257i
\(187\) 17.9827 + 1.17865i 1.31503 + 0.0861915i
\(188\) −13.9976 + 9.65078i −1.02088 + 0.703855i
\(189\) −1.02268 + 1.23406i −0.0743890 + 0.0897645i
\(190\) −2.43465 + 2.02792i −0.176628 + 0.147121i
\(191\) −6.29884 10.9099i −0.455768 0.789413i 0.542964 0.839756i \(-0.317302\pi\)
−0.998732 + 0.0503426i \(0.983969\pi\)
\(192\) 13.8483 + 0.474524i 0.999413 + 0.0342458i
\(193\) −8.87048 + 15.3641i −0.638511 + 1.10593i 0.347249 + 0.937773i \(0.387116\pi\)
−0.985760 + 0.168160i \(0.946217\pi\)
\(194\) 1.16081 + 6.72579i 0.0833416 + 0.482883i
\(195\) −4.18569 2.48689i −0.299743 0.178090i
\(196\) 5.92683 12.4732i 0.423345 0.890944i
\(197\) 10.9048 16.3202i 0.776934 1.16276i −0.205954 0.978562i \(-0.566030\pi\)
0.982888 0.184203i \(-0.0589703\pi\)
\(198\) −3.81831 + 20.8241i −0.271356 + 1.47990i
\(199\) −6.21037 14.9932i −0.440241 1.06284i −0.975864 0.218379i \(-0.929923\pi\)
0.535623 0.844457i \(-0.320077\pi\)
\(200\) −1.45725 + 10.2097i −0.103043 + 0.721932i
\(201\) −2.96139 0.627643i −0.208880 0.0442705i
\(202\) −7.57573 3.36623i −0.533027 0.236847i
\(203\) −0.341422 + 1.00580i −0.0239631 + 0.0705931i
\(204\) −6.97179 10.3875i −0.488123 0.727273i
\(205\) 4.38326 + 2.16159i 0.306140 + 0.150972i
\(206\) −12.5135 6.57190i −0.871860 0.457886i
\(207\) −5.54103 + 0.588972i −0.385128 + 0.0409364i
\(208\) −9.41913 + 2.16059i −0.653099 + 0.149810i
\(209\) −9.28188 2.48707i −0.642041 0.172034i
\(210\) 0.878444 + 0.0333476i 0.0606184 + 0.00230120i
\(211\) −1.03039 15.7208i −0.0709352 1.08226i −0.873859 0.486180i \(-0.838390\pi\)
0.802923 0.596082i \(-0.203277\pi\)
\(212\) −11.7591 + 21.0703i −0.807619 + 1.44712i
\(213\) −3.24218 2.55284i −0.222150 0.174918i
\(214\) −21.7467 3.42789i −1.48658 0.234326i
\(215\) −4.38546 + 10.5874i −0.299086 + 0.722057i
\(216\) 13.0684 6.72431i 0.889193 0.457531i
\(217\) −0.754662 1.82192i −0.0512298 0.123680i
\(218\) −11.1331 + 2.68152i −0.754031 + 0.181616i
\(219\) −3.15668 26.5370i −0.213308 1.79320i
\(220\) 10.3387 5.28705i 0.697032 0.356453i
\(221\) 6.55975 + 5.75275i 0.441256 + 0.386972i
\(222\) −7.40248 + 16.1134i −0.496822 + 1.08146i
\(223\) 3.14999 + 5.45594i 0.210939 + 0.365357i 0.952009 0.306071i \(-0.0990146\pi\)
−0.741070 + 0.671428i \(0.765681\pi\)
\(224\) 1.30758 1.15529i 0.0873667 0.0771909i
\(225\) 3.93209 + 10.2076i 0.262140 + 0.680505i
\(226\) −0.250982 + 2.75373i −0.0166951 + 0.183175i
\(227\) 2.12868 + 6.27089i 0.141285 + 0.416213i 0.994422 0.105474i \(-0.0336360\pi\)
−0.853137 + 0.521688i \(0.825303\pi\)
\(228\) 2.56549 + 6.15765i 0.169904 + 0.407800i
\(229\) −8.08684 16.3985i −0.534393 1.08364i −0.981907 0.189365i \(-0.939357\pi\)
0.447514 0.894277i \(-0.352310\pi\)
\(230\) 2.10545 + 2.21540i 0.138829 + 0.146079i
\(231\) 1.45329 + 2.23500i 0.0956197 + 0.147052i
\(232\) 6.50125 7.25261i 0.426828 0.476157i
\(233\) −17.5082 7.25211i −1.14700 0.475102i −0.273472 0.961880i \(-0.588172\pi\)
−0.873526 + 0.486778i \(0.838172\pi\)
\(234\) −7.60406 + 6.87312i −0.497093 + 0.449310i
\(235\) 9.70101 1.92965i 0.632824 0.125876i
\(236\) −15.5523 3.92534i −1.01237 0.255518i
\(237\) 5.52423 1.40643i 0.358837 0.0913576i
\(238\) −1.53674 0.346537i −0.0996123 0.0224627i
\(239\) 5.08581 1.36274i 0.328973 0.0881482i −0.0905521 0.995892i \(-0.528863\pi\)
0.419525 + 0.907744i \(0.362196\pi\)
\(240\) −7.28801 3.44458i −0.470439 0.222347i
\(241\) 23.7887 + 6.37417i 1.53237 + 0.410596i 0.923790 0.382899i \(-0.125074\pi\)
0.608576 + 0.793496i \(0.291741\pi\)
\(242\) 17.4050 + 9.14082i 1.11884 + 0.587594i
\(243\) 8.62236 12.9867i 0.553124 0.833099i
\(244\) 19.2888 + 7.66244i 1.23484 + 0.490537i
\(245\) −6.04019 + 5.29710i −0.385893 + 0.338419i
\(246\) 7.07256 7.47274i 0.450930 0.476445i
\(247\) −2.83214 3.69092i −0.180205 0.234847i
\(248\) −0.196654 + 18.0822i −0.0124875 + 1.14822i
\(249\) 7.08473 0.375471i 0.448977 0.0237945i
\(250\) 7.42462 12.1360i 0.469574 0.767547i
\(251\) 14.8450 + 9.91911i 0.937008 + 0.626089i 0.927483 0.373866i \(-0.121968\pi\)
0.00952514 + 0.999955i \(0.496968\pi\)
\(252\) 0.613142 1.74616i 0.0386243 0.109998i
\(253\) −1.80824 + 9.09062i −0.113683 + 0.571522i
\(254\) 3.64704 + 1.34241i 0.228836 + 0.0842301i
\(255\) 1.33050 + 7.15526i 0.0833191 + 0.448080i
\(256\) −15.1874 + 5.03406i −0.949215 + 0.314629i
\(257\) 18.3525 + 10.5958i 1.14480 + 0.660951i 0.947615 0.319415i \(-0.103487\pi\)
0.197185 + 0.980366i \(0.436820\pi\)
\(258\) 18.5693 + 15.4023i 1.15608 + 0.958908i
\(259\) 0.717747 + 2.11442i 0.0445986 + 0.131383i
\(260\) 5.52930 + 1.01635i 0.342913 + 0.0630316i
\(261\) 2.26813 10.0787i 0.140394 0.623856i
\(262\) 10.1273 5.50836i 0.625666 0.340307i
\(263\) −0.691532 0.530631i −0.0426417 0.0327201i 0.587221 0.809427i \(-0.300222\pi\)
−0.629862 + 0.776707i \(0.716889\pi\)
\(264\) −4.20750 24.0817i −0.258954 1.48212i
\(265\) 11.1367 8.54548i 0.684121 0.524945i
\(266\) 0.767627 + 0.341091i 0.0470662 + 0.0209136i
\(267\) −7.56856 5.95936i −0.463188 0.364707i
\(268\) 3.45855 0.506682i 0.211265 0.0309505i
\(269\) −6.20615 9.28817i −0.378396 0.566309i 0.592573 0.805517i \(-0.298112\pi\)
−0.970968 + 0.239208i \(0.923112\pi\)
\(270\) −8.53029 + 0.580538i −0.519137 + 0.0353304i
\(271\) −0.326587 0.326587i −0.0198387 0.0198387i 0.697118 0.716957i \(-0.254465\pi\)
−0.716957 + 0.697118i \(0.754465\pi\)
\(272\) 11.7118 + 8.45637i 0.710131 + 0.512743i
\(273\) −0.100511 + 1.28679i −0.00608322 + 0.0778798i
\(274\) 1.31198 5.81806i 0.0792595 0.351482i
\(275\) 18.1562 1.19002i 1.09486 0.0717610i
\(276\) 5.76484 2.85771i 0.347002 0.172014i
\(277\) 11.7212 10.2792i 0.704260 0.617619i −0.230428 0.973089i \(-0.574013\pi\)
0.934688 + 0.355470i \(0.115679\pi\)
\(278\) 18.4002 22.7567i 1.10357 1.36486i
\(279\) 9.17181 + 16.8451i 0.549102 + 1.00849i
\(280\) −0.964692 + 0.315811i −0.0576514 + 0.0188733i
\(281\) −11.5190 8.83887i −0.687168 0.527283i 0.205127 0.978735i \(-0.434239\pi\)
−0.892295 + 0.451453i \(0.850906\pi\)
\(282\) 2.14916 20.7120i 0.127981 1.23338i
\(283\) 16.5095 8.14159i 0.981389 0.483968i 0.120474 0.992716i \(-0.461559\pi\)
0.860915 + 0.508749i \(0.169892\pi\)
\(284\) 4.53392 + 1.46576i 0.269039 + 0.0869770i
\(285\) 0.0485164 3.88042i 0.00287386 0.229856i
\(286\) 7.14936 + 15.4781i 0.422751 + 0.915239i
\(287\) 1.29562i 0.0764780i
\(288\) −11.4588 + 12.5178i −0.675219 + 0.737617i
\(289\) 3.95776i 0.232809i
\(290\) −5.14402 + 2.37603i −0.302067 + 0.139526i
\(291\) −7.18642 4.26976i −0.421276 0.250298i
\(292\) 14.0500 + 27.4742i 0.822212 + 1.60781i
\(293\) 19.7243 9.72695i 1.15231 0.568255i 0.237198 0.971461i \(-0.423771\pi\)
0.915109 + 0.403207i \(0.132104\pi\)
\(294\) 6.89978 + 15.4420i 0.402403 + 0.900596i
\(295\) 7.40306 + 5.68057i 0.431023 + 0.330736i
\(296\) 1.56128 20.4160i 0.0907477 1.18665i
\(297\) −16.3534 20.1221i −0.948921 1.16760i
\(298\) 2.90397 + 2.34804i 0.168222 + 0.136018i
\(299\) −3.37381 + 2.95875i −0.195112 + 0.171109i
\(300\) −8.34776 9.47925i −0.481958 0.547285i
\(301\) 3.03148 0.198694i 0.174732 0.0114525i
\(302\) −10.1203 2.28213i −0.582356 0.131322i
\(303\) 9.16145 4.37640i 0.526311 0.251417i
\(304\) −5.24526 5.64078i −0.300836 0.323521i
\(305\) −8.53783 8.53783i −0.488875 0.488875i
\(306\) 15.2191 + 1.77177i 0.870018 + 0.101286i
\(307\) 4.95306 + 7.41278i 0.282686 + 0.423070i 0.945454 0.325755i \(-0.105618\pi\)
−0.662768 + 0.748825i \(0.730618\pi\)
\(308\) −2.46928 1.83822i −0.140700 0.104742i
\(309\) 16.0748 6.42414i 0.914462 0.365457i
\(310\) 4.27179 9.61369i 0.242621 0.546021i
\(311\) −21.1205 + 16.2063i −1.19763 + 0.918977i −0.998142 0.0609229i \(-0.980596\pi\)
−0.199491 + 0.979900i \(0.563929\pi\)
\(312\) 5.48146 10.4898i 0.310327 0.593867i
\(313\) 17.1932 + 13.1928i 0.971817 + 0.745702i 0.967129 0.254287i \(-0.0818409\pi\)
0.00468849 + 0.999989i \(0.498508\pi\)
\(314\) 9.34087 + 17.1735i 0.527136 + 0.969156i
\(315\) −0.729897 + 0.791463i −0.0411250 + 0.0445939i
\(316\) −5.41915 + 3.73627i −0.304851 + 0.210182i
\(317\) −4.86802 14.3407i −0.273415 0.805455i −0.993730 0.111808i \(-0.964336\pi\)
0.720315 0.693647i \(-0.243997\pi\)
\(318\) −10.2654 27.7124i −0.575655 1.55403i
\(319\) −14.8817 8.59195i −0.833215 0.481057i
\(320\) 9.27271 + 0.810637i 0.518361 + 0.0453160i
\(321\) 20.4926 17.5232i 1.14378 0.978047i
\(322\) 0.279871 0.760351i 0.0155966 0.0423727i
\(323\) −1.35673 + 6.82074i −0.0754905 + 0.379516i
\(324\) −4.13499 + 17.5186i −0.229722 + 0.973256i
\(325\) 7.32450 + 4.89407i 0.406290 + 0.271474i
\(326\) 10.9924 + 6.72502i 0.608815 + 0.372464i
\(327\) 6.35996 12.5003i 0.351707 0.691267i
\(328\) −4.66564 + 10.9262i −0.257617 + 0.603300i
\(329\) −1.59625 2.08027i −0.0880040 0.114689i
\(330\) −3.30169 + 13.8333i −0.181752 + 0.761498i
\(331\) −10.6122 + 9.30669i −0.583302 + 0.511542i −0.899366 0.437196i \(-0.855972\pi\)
0.316065 + 0.948738i \(0.397638\pi\)
\(332\) −7.52216 + 3.24494i −0.412832 + 0.178089i
\(333\) −9.11548 19.7120i −0.499525 1.08021i
\(334\) 14.2340 27.1030i 0.778852 1.48301i
\(335\) −1.96422 0.526311i −0.107317 0.0287554i
\(336\) 0.0355382 + 2.13669i 0.00193877 + 0.116566i
\(337\) −6.42222 + 1.72083i −0.349841 + 0.0937395i −0.429460 0.903086i \(-0.641296\pi\)
0.0796195 + 0.996825i \(0.474629\pi\)
\(338\) 2.22845 9.88221i 0.121212 0.537522i
\(339\) −2.36456 2.42443i −0.128425 0.131677i
\(340\) −4.30747 7.21594i −0.233605 0.391339i
\(341\) 31.2908 6.22413i 1.69449 0.337055i
\(342\) −7.77487 2.50977i −0.420417 0.135713i
\(343\) 3.96244 + 1.64130i 0.213952 + 0.0886217i
\(344\) −26.2807 9.24102i −1.41696 0.498242i
\(345\) −3.73793 + 0.198099i −0.201243 + 0.0106653i
\(346\) 5.94062 5.64578i 0.319370 0.303519i
\(347\) −6.13191 12.4343i −0.329178 0.667507i 0.667871 0.744277i \(-0.267206\pi\)
−0.997049 + 0.0767702i \(0.975539\pi\)
\(348\) 1.58145 + 11.8237i 0.0847747 + 0.633814i
\(349\) 10.9743 + 32.3291i 0.587439 + 1.73054i 0.678409 + 0.734685i \(0.262670\pi\)
−0.0909703 + 0.995854i \(0.528997\pi\)
\(350\) −1.58396 0.144367i −0.0846664 0.00771672i
\(351\) −0.350741 12.5487i −0.0187212 0.669799i
\(352\) 14.2043 + 24.3942i 0.757093 + 1.30022i
\(353\) −3.61599 6.26307i −0.192460 0.333350i 0.753605 0.657327i \(-0.228313\pi\)
−0.946065 + 0.323978i \(0.894980\pi\)
\(354\) 16.0278 11.3592i 0.851869 0.603737i
\(355\) −2.08413 1.82774i −0.110614 0.0970061i
\(356\) 10.5840 + 3.42169i 0.560952 + 0.181349i
\(357\) 1.54524 1.15530i 0.0817830 0.0611451i
\(358\) 2.30077 + 9.55231i 0.121599 + 0.504855i
\(359\) 13.5619 + 32.7413i 0.715770 + 1.72802i 0.685054 + 0.728493i \(0.259779\pi\)
0.0307159 + 0.999528i \(0.490221\pi\)
\(360\) 9.00550 4.04615i 0.474632 0.213251i
\(361\) −5.85192 + 14.1278i −0.307996 + 0.743567i
\(362\) −2.85849 + 18.1344i −0.150239 + 0.953123i
\(363\) −22.3583 + 8.93530i −1.17351 + 0.468981i
\(364\) −0.406667 1.43382i −0.0213151 0.0751528i
\(365\) −1.17412 17.9135i −0.0614560 0.937638i
\(366\) −22.4803 + 11.8655i −1.17506 + 0.620221i
\(367\) −20.0429 5.37049i −1.04623 0.280337i −0.305538 0.952180i \(-0.598836\pi\)
−0.740694 + 0.671843i \(0.765503\pi\)
\(368\) −5.09830 + 5.40436i −0.265767 + 0.281722i
\(369\) 1.33193 + 12.5308i 0.0693376 + 0.652326i
\(370\) −5.53851 + 10.5459i −0.287934 + 0.548254i
\(371\) −3.33757 1.64591i −0.173278 0.0854513i
\(372\) −16.6814 14.5684i −0.864891 0.755336i
\(373\) 6.27929 18.4982i 0.325129 0.957800i −0.654339 0.756201i \(-0.727053\pi\)
0.979468 0.201599i \(-0.0646137\pi\)
\(374\) 10.3489 23.2903i 0.535129 1.20431i
\(375\) 5.39418 + 16.5684i 0.278554 + 0.855591i
\(376\) 5.97026 + 23.2916i 0.307893 + 1.20117i
\(377\) −3.18373 7.68622i −0.163971 0.395860i
\(378\) 1.13821 + 1.96010i 0.0585434 + 0.100817i
\(379\) 7.23986 10.8352i 0.371886 0.556567i −0.597574 0.801813i \(-0.703869\pi\)
0.969461 + 0.245246i \(0.0788688\pi\)
\(380\) 1.50205 + 4.22183i 0.0770534 + 0.216575i
\(381\) −4.15143 + 2.32812i −0.212684 + 0.119273i
\(382\) −17.5562 + 3.03006i −0.898256 + 0.155031i
\(383\) −1.58734 + 2.74935i −0.0811091 + 0.140485i −0.903727 0.428110i \(-0.859180\pi\)
0.822617 + 0.568595i \(0.192513\pi\)
\(384\) 7.39471 18.1471i 0.377360 0.926067i
\(385\) 0.895430 + 1.55093i 0.0456353 + 0.0790427i
\(386\) 16.0574 + 19.2780i 0.817302 + 0.981224i
\(387\) −29.1152 + 5.03815i −1.48001 + 0.256104i
\(388\) 9.49328 + 1.74498i 0.481948 + 0.0885880i
\(389\) 25.4093 + 1.66541i 1.28830 + 0.0844397i 0.694101 0.719877i \(-0.255802\pi\)
0.594200 + 0.804317i \(0.297469\pi\)
\(390\) −5.34524 + 4.34024i −0.270667 + 0.219777i
\(391\) 6.65049 + 0.875554i 0.336330 + 0.0442786i
\(392\) −13.6587 13.9591i −0.689870 0.705040i
\(393\) −2.92746 + 13.8125i −0.147671 + 0.696750i
\(394\) −16.3325 22.4449i −0.822820 1.13076i
\(395\) 3.75572 0.747059i 0.188971 0.0375886i
\(396\) 25.7717 + 15.2402i 1.29508 + 0.765847i
\(397\) 10.2178 6.82731i 0.512816 0.342653i −0.272085 0.962273i \(-0.587713\pi\)
0.784902 + 0.619620i \(0.212713\pi\)
\(398\) −22.9322 + 0.917964i −1.14949 + 0.0460134i
\(399\) −0.928302 + 0.443447i −0.0464732 + 0.0222001i
\(400\) 12.8380 + 6.92147i 0.641901 + 0.346073i
\(401\) −6.85510 25.5836i −0.342328 1.27758i −0.895703 0.444652i \(-0.853327\pi\)
0.553376 0.832932i \(-0.313339\pi\)
\(402\) −2.27963 + 3.62364i −0.113698 + 0.180731i
\(403\) 13.8532 + 6.83162i 0.690075 + 0.340307i
\(404\) −8.16832 + 8.40982i −0.406389 + 0.418404i
\(405\) 6.24567 8.40511i 0.310350 0.417653i
\(406\) 1.16807 + 0.944458i 0.0579704 + 0.0468727i
\(407\) −35.8155 + 4.71520i −1.77531 + 0.233724i
\(408\) −17.1917 + 4.17836i −0.851117 + 0.206860i
\(409\) −19.0587 2.50912i −0.942391 0.124068i −0.356353 0.934351i \(-0.615980\pi\)
−0.586038 + 0.810283i \(0.699313\pi\)
\(410\) 5.01002 4.76137i 0.247427 0.235147i
\(411\) 4.37394 + 5.85024i 0.215750 + 0.288571i
\(412\) −14.8349 + 13.3971i −0.730863 + 0.660029i
\(413\) 0.482604 2.42622i 0.0237474 0.119386i
\(414\) −1.92515 + 7.64157i −0.0946161 + 0.375563i
\(415\) 4.76587 0.233947
\(416\) −1.73382 + 13.5562i −0.0850076 + 0.664647i
\(417\) 6.55241 + 35.2380i 0.320873 + 1.72561i
\(418\) −7.83498 + 11.1036i −0.383222 + 0.543096i
\(419\) −9.16899 + 10.4552i −0.447934 + 0.510771i −0.931103 0.364756i \(-0.881152\pi\)
0.483169 + 0.875527i \(0.339486\pi\)
\(420\) 0.473381 1.14955i 0.0230986 0.0560922i
\(421\) −25.4238 1.66636i −1.23908 0.0812137i −0.568270 0.822842i \(-0.692387\pi\)
−0.670811 + 0.741628i \(0.734054\pi\)
\(422\) −21.3674 6.31215i −1.04015 0.307271i
\(423\) 17.5769 + 18.4787i 0.854620 + 0.898464i
\(424\) 22.2194 + 25.8992i 1.07907 + 1.25778i
\(425\) −1.71878 13.0554i −0.0833729 0.633280i
\(426\) −4.97185 + 3.05583i −0.240887 + 0.148055i
\(427\) −1.02890 + 3.03103i −0.0497918 + 0.146682i
\(428\) −15.1727 + 27.1870i −0.733402 + 1.31413i
\(429\) −20.1006 5.65621i −0.970467 0.273084i
\(430\) 11.9090 + 10.9922i 0.574301 + 0.530092i
\(431\) 18.7556 + 18.7556i 0.903427 + 0.903427i 0.995731 0.0923037i \(-0.0294230\pi\)
−0.0923037 + 0.995731i \(0.529423\pi\)
\(432\) −2.54029 20.6288i −0.122220 0.992503i
\(433\) 6.31623 6.31623i 0.303539 0.303539i −0.538858 0.842397i \(-0.681144\pi\)
0.842397 + 0.538858i \(0.181144\pi\)
\(434\) −2.78664 + 0.111548i −0.133763 + 0.00535446i
\(435\) 1.87980 6.68028i 0.0901293 0.320295i
\(436\) −1.87976 + 16.0854i −0.0900240 + 0.770353i
\(437\) −3.38695 1.14971i −0.162020 0.0549983i
\(438\) −36.7610 8.77400i −1.75651 0.419238i
\(439\) 16.2007 2.13286i 0.773217 0.101796i 0.266415 0.963858i \(-0.414161\pi\)
0.506802 + 0.862063i \(0.330828\pi\)
\(440\) −1.96631 16.3038i −0.0937403 0.777255i
\(441\) −19.8685 5.85991i −0.946117 0.279043i
\(442\) 10.8393 5.89562i 0.515573 0.280426i
\(443\) −0.696320 + 10.6238i −0.0330831 + 0.504751i 0.948875 + 0.315652i \(0.102223\pi\)
−0.981958 + 0.189099i \(0.939443\pi\)
\(444\) 17.7690 + 17.6957i 0.843277 + 0.839803i
\(445\) −4.86521 4.26668i −0.230633 0.202260i
\(446\) 8.77971 1.51530i 0.415731 0.0717517i
\(447\) −4.49670 + 0.836149i −0.212687 + 0.0395485i
\(448\) −0.894497 2.29974i −0.0422610 0.108653i
\(449\) 16.9414i 0.799514i −0.916621 0.399757i \(-0.869095\pi\)
0.916621 0.399757i \(-0.130905\pi\)
\(450\) 15.4680 0.232094i 0.729167 0.0109410i
\(451\) 20.5580 + 4.08924i 0.968039 + 0.192555i
\(452\) 3.53204 + 1.67830i 0.166133 + 0.0789406i
\(453\) 10.1762 7.60828i 0.478122 0.357468i
\(454\) 9.36236 + 0.238245i 0.439397 + 0.0111814i
\(455\) −0.113171 + 0.859618i −0.00530553 + 0.0402995i
\(456\) 9.42546 0.396787i 0.441388 0.0185812i
\(457\) −3.09656 23.5207i −0.144851 1.10025i −0.897243 0.441537i \(-0.854433\pi\)
0.752392 0.658716i \(-0.228900\pi\)
\(458\) −25.7139 + 2.72184i −1.20153 + 0.127183i
\(459\) −13.7574 + 12.7622i −0.642139 + 0.595691i
\(460\) 3.96871 1.71204i 0.185042 0.0798243i
\(461\) −11.0691 + 22.4459i −0.515540 + 1.04541i 0.471037 + 0.882114i \(0.343880\pi\)
−0.986577 + 0.163298i \(0.947787\pi\)
\(462\) 3.67615 0.836954i 0.171030 0.0389386i
\(463\) −0.0531488 + 0.0142412i −0.00247003 + 0.000661844i −0.260054 0.965594i \(-0.583740\pi\)
0.257584 + 0.966256i \(0.417074\pi\)
\(464\) −6.44951 12.1711i −0.299411 0.565031i
\(465\) 5.55369 + 11.6260i 0.257546 + 0.539142i
\(466\) −18.1775 + 19.6935i −0.842058 + 0.912284i
\(467\) −5.47581 8.19513i −0.253390 0.379225i 0.682866 0.730544i \(-0.260733\pi\)
−0.936256 + 0.351319i \(0.885733\pi\)
\(468\) 5.40715 + 13.4494i 0.249946 + 0.621698i
\(469\) 0.105170 + 0.528726i 0.00485631 + 0.0244143i
\(470\) 2.17802 13.8175i 0.100464 0.637352i
\(471\) −23.4228 4.96428i −1.07926 0.228742i
\(472\) −12.8069 + 18.7229i −0.589486 + 0.861791i
\(473\) −6.41525 + 48.7287i −0.294973 + 2.24055i
\(474\) 0.832041 8.01861i 0.0382169 0.368307i
\(475\) −0.459225 + 7.00643i −0.0210707 + 0.321477i
\(476\) −1.21062 + 1.87023i −0.0554885 + 0.0857217i
\(477\) 33.9719 + 12.4875i 1.55547 + 0.571766i
\(478\) 0.675859 7.41540i 0.0309131 0.339173i
\(479\) −25.6389 + 14.8026i −1.17147 + 0.676349i −0.954026 0.299723i \(-0.903106\pi\)
−0.217445 + 0.976073i \(0.569772\pi\)
\(480\) −8.13175 + 7.98970i −0.371162 + 0.364678i
\(481\) −15.1463 8.74475i −0.690614 0.398726i
\(482\) 20.0804 28.4577i 0.914639 1.29621i
\(483\) 0.485376 + 0.865507i 0.0220854 + 0.0393819i
\(484\) 20.6338 18.6340i 0.937899 0.846999i
\(485\) −4.66894 3.11969i −0.212006 0.141658i
\(486\) −13.0235 17.7873i −0.590756 0.806850i
\(487\) −13.4879 + 5.58689i −0.611197 + 0.253166i −0.666740 0.745290i \(-0.732311\pi\)
0.0555431 + 0.998456i \(0.482311\pi\)
\(488\) 19.5919 21.8562i 0.886885 0.989384i
\(489\) −15.0072 + 4.88590i −0.678651 + 0.220948i
\(490\) 4.07947 + 10.6040i 0.184292 + 0.479039i
\(491\) −31.8037 10.7959i −1.43528 0.487212i −0.507928 0.861400i \(-0.669588\pi\)
−0.927353 + 0.374188i \(0.877922\pi\)
\(492\) −6.46258 13.0369i −0.291356 0.587749i
\(493\) −5.50039 + 11.1537i −0.247725 + 0.502337i
\(494\) −6.28196 + 1.95569i −0.282639 + 0.0879905i
\(495\) −10.2547 14.0795i −0.460914 0.632828i
\(496\) 23.9020 + 9.09422i 1.07323 + 0.408342i
\(497\) −0.190198 + 0.709830i −0.00853157 + 0.0318402i
\(498\) 2.96261 9.58602i 0.132758 0.429560i
\(499\) −26.2986 + 1.72370i −1.17729 + 0.0771635i −0.641455 0.767160i \(-0.721669\pi\)
−0.535833 + 0.844324i \(0.680002\pi\)
\(500\) −12.4795 15.7822i −0.558099 0.705799i
\(501\) 13.9140 + 34.8163i 0.621632 + 1.55548i
\(502\) 20.4161 14.8562i 0.911216 0.663066i
\(503\) −8.83284 3.65868i −0.393837 0.163133i 0.176971 0.984216i \(-0.443370\pi\)
−0.570808 + 0.821083i \(0.693370\pi\)
\(504\) −2.01792 1.66675i −0.0898854 0.0742428i
\(505\) 6.30119 2.61004i 0.280399 0.116145i
\(506\) 11.1814 + 6.84063i 0.497074 + 0.304103i
\(507\) 7.42932 + 9.93687i 0.329947 + 0.441312i
\(508\) 3.56319 4.18445i 0.158091 0.185655i
\(509\) −28.9496 + 33.0107i −1.28317 + 1.46317i −0.468255 + 0.883593i \(0.655117\pi\)
−0.814915 + 0.579581i \(0.803216\pi\)
\(510\) 10.1462 + 1.72958i 0.449280 + 0.0765872i
\(511\) −4.12148 + 2.37954i −0.182324 + 0.105265i
\(512\) −0.738097 + 22.6154i −0.0326196 + 0.999468i
\(513\) 8.52234 5.24319i 0.376271 0.231493i
\(514\) 23.0277 19.1807i 1.01571 0.846025i
\(515\) 11.0115 3.73791i 0.485226 0.164712i
\(516\) 29.5126 17.1204i 1.29922 0.753686i
\(517\) 38.0464 18.7624i 1.67328 0.825171i
\(518\) 3.15680 + 0.0803315i 0.138702 + 0.00352956i
\(519\) 0.531207 + 10.0233i 0.0233174 + 0.439974i
\(520\) 4.04995 6.84180i 0.177602 0.300033i
\(521\) 10.0099 24.1661i 0.438543 1.05874i −0.537909 0.843003i \(-0.680786\pi\)
0.976452 0.215734i \(-0.0692144\pi\)
\(522\) −12.2681 7.93367i −0.536961 0.347247i
\(523\) 0.433911 + 2.18142i 0.0189736 + 0.0953867i 0.989112 0.147166i \(-0.0470152\pi\)
−0.970138 + 0.242553i \(0.922015\pi\)
\(524\) −2.36327 16.1314i −0.103240 0.704705i
\(525\) 1.39455 1.36011i 0.0608632 0.0593601i
\(526\) −1.04205 + 0.658561i −0.0454356 + 0.0287146i
\(527\) −5.97592 22.3024i −0.260315 0.971509i
\(528\) −34.0157 6.17994i −1.48034 0.268947i
\(529\) 5.05991 18.8839i 0.219996 0.821037i
\(530\) −5.90094 18.9547i −0.256320 0.823340i
\(531\) −2.17337 + 23.9617i −0.0943160 + 1.03985i
\(532\) 0.827672 0.852143i 0.0358841 0.0369451i
\(533\) 6.69107 + 7.62970i 0.289822 + 0.330479i
\(534\) −11.6063 + 7.13355i −0.502254 + 0.308699i
\(535\) 14.3696 11.0262i 0.621253 0.476704i
\(536\) 1.01707 4.83759i 0.0439306 0.208952i
\(537\) −10.7253 5.45689i −0.462832 0.235482i
\(538\) −15.3586 + 3.69928i −0.662158 + 0.159487i
\(539\) −19.1428 + 28.6492i −0.824537 + 1.23401i
\(540\) −3.39661 + 11.6047i −0.146167 + 0.499386i
\(541\) −30.4057 6.04808i −1.30724 0.260027i −0.508169 0.861257i \(-0.669677\pi\)
−0.799076 + 0.601230i \(0.794677\pi\)
\(542\) −0.592973 + 0.273895i −0.0254704 + 0.0117648i
\(543\) −14.6124 17.0886i −0.627078 0.733341i
\(544\) 16.9442 11.4125i 0.726478 0.489306i
\(545\) 4.71073 8.15923i 0.201786 0.349503i
\(546\) 1.65868 + 0.761995i 0.0709848 + 0.0326104i
\(547\) −35.5912 + 12.0816i −1.52177 + 0.516571i −0.952227 0.305391i \(-0.901213\pi\)
−0.569542 + 0.821962i \(0.692880\pi\)
\(548\) −7.08061 4.58335i −0.302469 0.195791i
\(549\) 6.83516 30.3729i 0.291717 1.29628i
\(550\) 7.29003 24.6776i 0.310848 1.05226i
\(551\) 4.03683 5.26090i 0.171975 0.224122i
\(552\) −0.976509 9.04689i −0.0415630 0.385061i
\(553\) −0.617983 0.805372i −0.0262793 0.0342479i
\(554\) −7.91637 20.5774i −0.336334 0.874251i
\(555\) −5.41399 13.5471i −0.229811 0.575043i
\(556\) −21.2133 35.5368i −0.899645 1.50710i
\(557\) 20.6856 13.8217i 0.876476 0.585642i −0.0338999 0.999425i \(-0.510793\pi\)
0.910376 + 0.413783i \(0.135793\pi\)
\(558\) 26.8367 3.94359i 1.13609 0.166946i
\(559\) −16.8258 + 16.8258i −0.711656 + 0.711656i
\(560\) −0.0521222 + 1.43458i −0.00220257 + 0.0606220i
\(561\) 13.4545 + 28.1653i 0.568048 + 1.18914i
\(562\) −17.3577 + 10.9698i −0.732191 + 0.462734i
\(563\) −1.24631 19.0151i −0.0525259 0.801390i −0.940137 0.340797i \(-0.889303\pi\)
0.887611 0.460594i \(-0.152363\pi\)
\(564\) −26.4384 12.9702i −1.11326 0.546144i
\(565\) −1.49998 1.71040i −0.0631047 0.0719571i
\(566\) −2.74027 25.8880i −0.115182 1.08816i
\(567\) −2.73072 0.499472i −0.114680 0.0209758i
\(568\) 4.16015 5.30123i 0.174556 0.222435i
\(569\) −7.93016 + 10.3348i −0.332449 + 0.433257i −0.929430 0.368999i \(-0.879700\pi\)
0.596980 + 0.802256i \(0.296367\pi\)
\(570\) −5.12625 1.95999i −0.214715 0.0820949i
\(571\) 17.4028 + 35.2893i 0.728282 + 1.47681i 0.873197 + 0.487367i \(0.162042\pi\)
−0.144915 + 0.989444i \(0.546291\pi\)
\(572\) 24.0345 1.92727i 1.00493 0.0805830i
\(573\) 11.1453 18.7586i 0.465602 0.783654i
\(574\) −1.71950 0.632915i −0.0717705 0.0264173i
\(575\) 6.77259 0.282436
\(576\) 11.0155 + 21.3227i 0.458978 + 0.888448i
\(577\) 0.822656 0.0342476 0.0171238 0.999853i \(-0.494549\pi\)
0.0171238 + 0.999853i \(0.494549\pi\)
\(578\) 5.25260 + 1.93338i 0.218479 + 0.0804180i
\(579\) −30.7258 0.384161i −1.27692 0.0159652i
\(580\) 0.640512 + 7.98766i 0.0265958 + 0.331670i
\(581\) −0.558803 1.13314i −0.0231830 0.0470106i
\(582\) −9.17726 + 7.45177i −0.380410 + 0.308886i
\(583\) 36.6502 47.7635i 1.51790 1.97816i
\(584\) 43.3263 5.22534i 1.79285 0.216226i
\(585\) 0.210838 8.43027i 0.00871709 0.348549i
\(586\) −3.27386 30.9290i −0.135242 1.27767i
\(587\) 23.4843 + 26.7787i 0.969302 + 1.10528i 0.994410 + 0.105592i \(0.0336739\pi\)
−0.0251075 + 0.999685i \(0.507993\pi\)
\(588\) 23.8646 1.61365i 0.984161 0.0665460i
\(589\) 0.805216 + 12.2852i 0.0331783 + 0.506204i
\(590\) 11.1555 7.05010i 0.459264 0.290248i
\(591\) 33.8936 + 2.64744i 1.39420 + 0.108901i
\(592\) −26.3327 12.0454i −1.08227 0.495061i
\(593\) 11.1627 11.1627i 0.458398 0.458398i −0.439731 0.898129i \(-0.644926\pi\)
0.898129 + 0.439731i \(0.144926\pi\)
\(594\) −34.6941 + 11.8739i −1.42351 + 0.487193i
\(595\) 1.07764 0.720056i 0.0441789 0.0295194i
\(596\) 4.53483 2.70702i 0.185754 0.110884i
\(597\) 17.3888 22.0843i 0.711678 0.903851i
\(598\) 2.27863 + 5.92295i 0.0931800 + 0.242208i
\(599\) 25.4775 + 33.2029i 1.04098 + 1.35664i 0.931946 + 0.362598i \(0.118110\pi\)
0.109037 + 0.994038i \(0.465223\pi\)
\(600\) −16.6584 + 6.44819i −0.680077 + 0.263246i
\(601\) 6.61821 8.62502i 0.269962 0.351822i −0.638624 0.769519i \(-0.720496\pi\)
0.908586 + 0.417697i \(0.137163\pi\)
\(602\) 1.21719 4.12034i 0.0496090 0.167932i
\(603\) −1.56071 5.00554i −0.0635572 0.203841i
\(604\) −7.97255 + 12.3164i −0.324398 + 0.501148i
\(605\) −15.3159 + 5.19904i −0.622679 + 0.211371i
\(606\) −1.33280 14.2966i −0.0541411 0.580761i
\(607\) 19.6186 33.9804i 0.796294 1.37922i −0.125721 0.992066i \(-0.540124\pi\)
0.922015 0.387155i \(-0.126542\pi\)
\(608\) −10.0486 + 4.20578i −0.407523 + 0.170567i
\(609\) −1.80872 + 0.336326i −0.0732931 + 0.0136286i
\(610\) −15.5019 + 7.16034i −0.627652 + 0.289914i
\(611\) 20.1434 + 4.00677i 0.814914 + 0.162096i
\(612\) 9.78602 19.3327i 0.395577 0.781479i
\(613\) −23.5943 + 35.3114i −0.952966 + 1.42622i −0.0489094 + 0.998803i \(0.515575\pi\)
−0.904057 + 0.427412i \(0.859425\pi\)
\(614\) 12.2576 2.95235i 0.494675 0.119147i
\(615\) 0.447992 + 8.45314i 0.0180648 + 0.340864i
\(616\) −3.64587 + 2.37915i −0.146896 + 0.0958589i
\(617\) −14.3822 + 11.0358i −0.579005 + 0.444286i −0.856285 0.516503i \(-0.827233\pi\)
0.277281 + 0.960789i \(0.410567\pi\)
\(618\) −0.673298 24.4721i −0.0270840 0.984411i
\(619\) −11.1729 12.7403i −0.449077 0.512075i 0.482362 0.875972i \(-0.339779\pi\)
−0.931439 + 0.363898i \(0.881446\pi\)
\(620\) −10.6722 10.3657i −0.428604 0.416296i
\(621\) −5.58415 7.87191i −0.224084 0.315889i
\(622\) 11.1910 + 35.9472i 0.448719 + 1.44135i
\(623\) −0.444000 + 1.65703i −0.0177885 + 0.0663876i
\(624\) −11.2440 12.3991i −0.450118 0.496361i
\(625\) −1.68914 6.30394i −0.0675654 0.252158i
\(626\) 25.9080 16.3735i 1.03549 0.654415i
\(627\) −4.10641 16.1293i −0.163994 0.644142i
\(628\) 27.3551 4.00755i 1.09159 0.159919i
\(629\) 5.10039 + 25.6414i 0.203366 + 1.02239i
\(630\) 0.693843 + 1.35533i 0.0276434 + 0.0539975i
\(631\) −19.0823 + 46.0687i −0.759654 + 1.83397i −0.267153 + 0.963654i \(0.586083\pi\)
−0.492500 + 0.870312i \(0.663917\pi\)
\(632\) 2.31137 + 9.01728i 0.0919414 + 0.358688i
\(633\) 22.8766 14.8753i 0.909262 0.591241i
\(634\) −21.4105 0.544837i −0.850321 0.0216382i
\(635\) −2.86759 + 1.41414i −0.113797 + 0.0561184i
\(636\) −41.7935 + 0.0862743i −1.65722 + 0.00342100i
\(637\) −15.7964 + 5.36216i −0.625877 + 0.212457i
\(638\) −18.6727 + 15.5533i −0.739259 + 0.615759i
\(639\) 1.10981 7.06076i 0.0439034 0.279319i
\(640\) 5.60560 11.9104i 0.221581 0.470800i
\(641\) −26.2926 + 15.1800i −1.03849 + 0.599575i −0.919406 0.393309i \(-0.871330\pi\)
−0.119088 + 0.992884i \(0.537997\pi\)
\(642\) −13.2454 35.7571i −0.522754 1.41122i
\(643\) −5.84682 + 6.66702i −0.230576 + 0.262921i −0.855545 0.517728i \(-0.826778\pi\)
0.624970 + 0.780649i \(0.285111\pi\)
\(644\) −0.872393 0.742869i −0.0343771 0.0292731i
\(645\) −19.7099 + 2.34457i −0.776078 + 0.0923174i
\(646\) 8.38948 + 5.13256i 0.330079 + 0.201938i
\(647\) −34.3016 + 14.2082i −1.34854 + 0.558582i −0.935885 0.352307i \(-0.885397\pi\)
−0.412652 + 0.910889i \(0.635397\pi\)
\(648\) 21.2301 + 14.0457i 0.833998 + 0.551768i
\(649\) 36.9743 + 15.3153i 1.45137 + 0.601177i
\(650\) 10.0733 7.33004i 0.395107 0.287508i
\(651\) 2.11303 2.68361i 0.0828163 0.105179i
\(652\) 14.2950 11.3036i 0.559837 0.442682i
\(653\) −36.1496 + 2.36937i −1.41465 + 0.0927207i −0.753456 0.657498i \(-0.771615\pi\)
−0.661189 + 0.750219i \(0.729948\pi\)
\(654\) −13.4831 14.5471i −0.527229 0.568838i
\(655\) −2.45483 + 9.16153i −0.0959180 + 0.357971i
\(656\) 12.2217 + 11.5296i 0.477178 + 0.450154i
\(657\) 37.4154 27.2511i 1.45971 1.06317i
\(658\) −3.54064 + 1.10226i −0.138028 + 0.0429707i
\(659\) 12.1729 24.6843i 0.474191 0.961564i −0.520024 0.854152i \(-0.674077\pi\)
0.994215 0.107412i \(-0.0342564\pi\)
\(660\) 16.7462 + 11.1395i 0.651844 + 0.433604i
\(661\) −38.6659 13.1253i −1.50393 0.510515i −0.556600 0.830781i \(-0.687894\pi\)
−0.947328 + 0.320266i \(0.896228\pi\)
\(662\) 7.16738 + 18.6305i 0.278568 + 0.724096i
\(663\) −3.13328 + 14.7836i −0.121686 + 0.574149i
\(664\) 0.631965 + 11.5683i 0.0245250 + 0.448937i
\(665\) −0.638481 + 0.264467i −0.0247592 + 0.0102556i
\(666\) −30.6140 + 2.46834i −1.18627 + 0.0956461i
\(667\) −5.31823 3.55352i −0.205923 0.137593i
\(668\) −29.0168 32.1308i −1.12269 1.24318i
\(669\) −5.57365 + 9.38101i −0.215490 + 0.362691i
\(670\) −1.65803 + 2.34974i −0.0640552 + 0.0907782i
\(671\) −44.8470 25.8924i −1.73130 0.999566i
\(672\) 2.85310 + 0.996616i 0.110061 + 0.0384453i
\(673\) 12.6769 7.31904i 0.488660 0.282128i −0.235358 0.971909i \(-0.575626\pi\)
0.724019 + 0.689781i \(0.242293\pi\)
\(674\) −0.853457 + 9.36397i −0.0328739 + 0.360687i
\(675\) −12.0894 + 14.5882i −0.465321 + 0.561498i
\(676\) −12.0267 7.78501i −0.462566 0.299424i
\(677\) −2.67298 + 40.7818i −0.102731 + 1.56737i 0.566339 + 0.824172i \(0.308359\pi\)
−0.669070 + 0.743199i \(0.733308\pi\)
\(678\) −4.37272 + 1.95381i −0.167933 + 0.0750356i
\(679\) −0.194303 + 1.47588i −0.00745668 + 0.0566391i
\(680\) −11.6809 + 2.19171i −0.447944 + 0.0840481i
\(681\) −7.67006 + 8.52854i −0.293917 + 0.326814i
\(682\) 7.02523 44.5685i 0.269010 1.70662i
\(683\) −5.75676 28.9412i −0.220276 1.10740i −0.919678 0.392674i \(-0.871550\pi\)
0.699402 0.714729i \(-0.253450\pi\)
\(684\) −7.12893 + 9.09250i −0.272581 + 0.347660i
\(685\) 2.72611 + 4.07991i 0.104159 + 0.155885i
\(686\) 4.11394 4.45703i 0.157071 0.170170i
\(687\) 17.9221 26.1097i 0.683772 0.996149i
\(688\) −25.1025 + 30.3645i −0.957026 + 1.15763i
\(689\) 28.1546 7.54399i 1.07260 0.287403i
\(690\) −1.56308 + 5.05761i −0.0595055 + 0.192540i
\(691\) −0.271311 + 0.550163i −0.0103211 + 0.0209292i −0.901972 0.431794i \(-0.857881\pi\)
0.891651 + 0.452723i \(0.149547\pi\)
\(692\) −4.59086 10.6422i −0.174518 0.404555i
\(693\) −2.14520 + 4.08901i −0.0814893 + 0.155329i
\(694\) −19.4978 + 2.06386i −0.740126 + 0.0783429i
\(695\) 3.14268 + 23.8710i 0.119209 + 0.905480i
\(696\) 16.4645 + 3.67705i 0.624084 + 0.139378i
\(697\) 1.98002 15.0398i 0.0749987 0.569672i
\(698\) 48.2670 + 1.22826i 1.82693 + 0.0464902i
\(699\) −3.87715 32.5938i −0.146647 1.23281i
\(700\) −0.965370 + 2.03166i −0.0364876 + 0.0767894i
\(701\) −8.33881 1.65869i −0.314953 0.0626480i 0.0350829 0.999384i \(-0.488830\pi\)
−0.350035 + 0.936736i \(0.613830\pi\)
\(702\) −16.8255 5.66459i −0.635037 0.213796i
\(703\) 13.9403i 0.525770i
\(704\) 39.3140 6.93480i 1.48170 0.261365i
\(705\) 11.1339 + 13.0206i 0.419326 + 0.490384i
\(706\) −10.0785 + 1.73947i −0.379311 + 0.0654659i
\(707\) −1.35939 1.19215i −0.0511250 0.0448354i
\(708\) −7.24592 26.8206i −0.272318 1.00798i
\(709\) −0.577978 + 8.81824i −0.0217064 + 0.331176i 0.973171 + 0.230084i \(0.0739002\pi\)
−0.994877 + 0.101092i \(0.967766\pi\)
\(710\) −3.44381 + 1.87313i −0.129244 + 0.0702973i
\(711\) 6.80487 + 7.15397i 0.255202 + 0.268295i
\(712\) 9.71147 12.3752i 0.363953 0.463781i
\(713\) 11.7736 1.55003i 0.440925 0.0580489i
\(714\) −0.778420 2.61516i −0.0291316 0.0978700i
\(715\) −13.2826 4.50885i −0.496743 0.168621i
\(716\) 13.8014 + 1.61284i 0.515783 + 0.0602748i
\(717\) 6.36742 + 6.52866i 0.237796 + 0.243817i
\(718\) 50.0781 2.00461i 1.86890 0.0748112i
\(719\) −24.0550 + 24.0550i −0.897099 + 0.897099i −0.995179 0.0980791i \(-0.968730\pi\)
0.0980791 + 0.995179i \(0.468730\pi\)
\(720\) −0.970679 13.9283i −0.0361751 0.519079i
\(721\) −2.17984 2.17984i −0.0811816 0.0811816i
\(722\) 15.8912 + 14.6679i 0.591409 + 0.545884i
\(723\) 10.5244 + 41.3381i 0.391407 + 1.53738i
\(724\) 22.6709 + 12.6524i 0.842559 + 0.470223i
\(725\) −4.03605 + 11.8898i −0.149895 + 0.441577i
\(726\) 0.936486 + 34.0381i 0.0347562 + 1.26327i
\(727\) 0.966228 + 7.33923i 0.0358354 + 0.272197i 0.999977 + 0.00680792i \(0.00216705\pi\)
−0.964141 + 0.265389i \(0.914500\pi\)
\(728\) −2.10158 0.160715i −0.0778896 0.00595650i
\(729\) 26.9241 + 2.02346i 0.997188 + 0.0749431i
\(730\) −24.3478 7.19259i −0.901152 0.266210i
\(731\) 35.4936 + 2.32638i 1.31278 + 0.0860441i
\(732\) 4.76581 + 35.6314i 0.176149 + 1.31697i
\(733\) −9.91679 + 11.3079i −0.366285 + 0.417668i −0.905397 0.424566i \(-0.860427\pi\)
0.539112 + 0.842234i \(0.318760\pi\)
\(734\) −16.9186 + 23.9767i −0.624475 + 0.884998i
\(735\) −13.1197 4.63724i −0.483926 0.171047i
\(736\) 4.68194 + 9.40634i 0.172579 + 0.346722i
\(737\) −8.72140 −0.321257
\(738\) 17.2811 + 4.35364i 0.636124 + 0.160260i
\(739\) 0.598945 3.01110i 0.0220325 0.110765i −0.968204 0.250162i \(-0.919516\pi\)
0.990237 + 0.139397i \(0.0445163\pi\)
\(740\) 11.2905 + 12.5022i 0.415048 + 0.459591i
\(741\) 3.17650 7.40550i 0.116692 0.272048i
\(742\) −3.81481 + 3.62547i −0.140046 + 0.133095i
\(743\) −18.1129 2.38461i −0.664499 0.0874830i −0.209271 0.977858i \(-0.567109\pi\)
−0.455228 + 0.890375i \(0.650442\pi\)
\(744\) −27.4836 + 15.0222i −1.00760 + 0.550742i
\(745\) −3.04617 + 0.401035i −0.111603 + 0.0146928i
\(746\) −21.4827 17.3701i −0.786537 0.635964i
\(747\) 6.56945 + 10.3849i 0.240364 + 0.379963i
\(748\) −25.8545 25.1121i −0.945335 0.918188i
\(749\) −4.30646 2.12371i −0.157355 0.0775987i
\(750\) 24.6241 + 0.934783i 0.899145 + 0.0341335i
\(751\) 2.78879 + 10.4079i 0.101764 + 0.379789i 0.997958 0.0638736i \(-0.0203454\pi\)
−0.896194 + 0.443663i \(0.853679\pi\)
\(752\) 33.8283 + 3.45452i 1.23359 + 0.125974i
\(753\) −2.40814 + 30.8300i −0.0877576 + 1.12351i
\(754\) −11.7561 + 0.470593i −0.428133 + 0.0171380i
\(755\) 7.09682 4.74195i 0.258280 0.172577i
\(756\) 3.15740 0.553078i 0.114834 0.0201153i
\(757\) −6.07540 + 1.20847i −0.220814 + 0.0439227i −0.304257 0.952590i \(-0.598408\pi\)
0.0834432 + 0.996513i \(0.473408\pi\)
\(758\) −10.8434 14.9015i −0.393850 0.541247i
\(759\) −15.2652 + 4.96990i −0.554093 + 0.180396i
\(760\) 6.33682 + 0.0689164i 0.229860 + 0.00249986i
\(761\) 20.6574 + 2.71960i 0.748830 + 0.0985854i 0.495276 0.868736i \(-0.335067\pi\)
0.253554 + 0.967321i \(0.418400\pi\)
\(762\) 1.06181 + 6.64692i 0.0384651 + 0.240792i
\(763\) −2.49229 0.163353i −0.0902269 0.00591378i
\(764\) −4.55490 + 24.7802i −0.164791 + 0.896517i
\(765\) −9.68232 + 8.07197i −0.350065 + 0.291843i
\(766\) 2.87342 + 3.44972i 0.103821 + 0.124644i
\(767\) 9.68792 + 16.7800i 0.349810 + 0.605889i
\(768\) −20.4719 18.6789i −0.738715 0.674018i
\(769\) −0.724482 + 1.25484i −0.0261255 + 0.0452507i −0.878793 0.477204i \(-0.841650\pi\)
0.852667 + 0.522455i \(0.174984\pi\)
\(770\) 2.49576 0.430747i 0.0899409 0.0155230i
\(771\) −0.458884 + 36.7022i −0.0165263 + 1.32180i
\(772\) 33.4292 11.8935i 1.20314 0.428056i