Properties

Label 384.2.w.a.11.16
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07112 + 0.923423i) q^{2} +(1.49221 - 0.879386i) q^{3} +(0.294582 - 1.97819i) q^{4} +(-1.88241 - 1.00617i) q^{5} +(-0.786282 + 2.31986i) q^{6} +(2.66028 + 0.529163i) q^{7} +(1.51117 + 2.39089i) q^{8} +(1.45336 - 2.62445i) q^{9} +O(q^{10})\) \(q+(-1.07112 + 0.923423i) q^{2} +(1.49221 - 0.879386i) q^{3} +(0.294582 - 1.97819i) q^{4} +(-1.88241 - 1.00617i) q^{5} +(-0.786282 + 2.31986i) q^{6} +(2.66028 + 0.529163i) q^{7} +(1.51117 + 2.39089i) q^{8} +(1.45336 - 2.62445i) q^{9} +(2.94540 - 0.660535i) q^{10} +(-2.44223 + 2.00429i) q^{11} +(-1.30001 - 3.21091i) q^{12} +(0.359681 - 0.192253i) q^{13} +(-3.33811 + 1.88977i) q^{14} +(-3.69376 + 0.153954i) q^{15} +(-3.82644 - 1.16548i) q^{16} +(7.42890 - 3.07715i) q^{17} +(0.866761 + 4.15316i) q^{18} +(2.07770 - 6.84926i) q^{19} +(-2.54491 + 3.42736i) q^{20} +(4.43502 - 1.54979i) q^{21} +(0.765110 - 4.40204i) q^{22} +(0.519431 + 0.347073i) q^{23} +(4.35750 + 2.23880i) q^{24} +(-0.246760 - 0.369302i) q^{25} +(-0.207729 + 0.538063i) q^{26} +(-0.139195 - 5.19429i) q^{27} +(1.83045 - 5.10665i) q^{28} +(-5.63366 - 4.62343i) q^{29} +(3.81428 - 3.57580i) q^{30} +(0.985204 - 0.985204i) q^{31} +(5.17479 - 2.28506i) q^{32} +(-1.88177 + 5.13847i) q^{33} +(-5.11571 + 10.1560i) q^{34} +(-4.47531 - 3.67279i) q^{35} +(-4.76352 - 3.64813i) q^{36} +(2.05688 + 6.78064i) q^{37} +(4.09930 + 9.25495i) q^{38} +(0.367653 - 0.603180i) q^{39} +(-0.439001 - 6.02113i) q^{40} +(-0.894207 - 0.597490i) q^{41} +(-3.31931 + 5.75541i) q^{42} +(-0.827086 + 8.39754i) q^{43} +(3.24542 + 5.42161i) q^{44} +(-5.37646 + 3.47797i) q^{45} +(-0.876866 + 0.107899i) q^{46} +(6.66824 - 2.76208i) q^{47} +(-6.73475 + 1.62579i) q^{48} +(0.329918 + 0.136656i) q^{49} +(0.605331 + 0.167702i) q^{50} +(8.37945 - 11.1246i) q^{51} +(-0.274358 - 0.768150i) q^{52} +(-9.17930 + 7.53326i) q^{53} +(4.94562 + 5.43515i) q^{54} +(6.61393 - 1.31559i) q^{55} +(2.75497 + 7.16010i) q^{56} +(-2.92279 - 12.0476i) q^{57} +(10.3037 - 0.250021i) q^{58} +(9.35911 + 5.00255i) q^{59} +(-0.783564 + 7.35229i) q^{60} +(0.741350 + 7.52705i) q^{61} +(-0.145509 + 1.96503i) q^{62} +(5.25510 - 6.21271i) q^{63} +(-3.43273 + 7.22609i) q^{64} -0.870506 q^{65} +(-2.72939 - 7.24157i) q^{66} +(3.75890 - 0.370220i) q^{67} +(-3.89876 - 15.6022i) q^{68} +(1.08031 + 0.0611235i) q^{69} +(8.18512 - 0.198613i) q^{70} +(-1.09348 - 0.217507i) q^{71} +(8.47105 - 0.491169i) q^{72} +(0.726123 + 3.65047i) q^{73} +(-8.46456 - 5.36348i) q^{74} +(-0.692976 - 0.334078i) q^{75} +(-12.9371 - 6.12774i) q^{76} +(-7.55761 + 4.03963i) q^{77} +(0.163191 + 0.985575i) q^{78} +(-4.98792 + 12.0419i) q^{79} +(6.03027 + 6.04395i) q^{80} +(-4.77549 - 7.62854i) q^{81} +(1.50954 - 0.185749i) q^{82} +(0.0763543 - 0.251706i) q^{83} +(-1.75930 - 9.22985i) q^{84} +(-17.0804 - 1.68227i) q^{85} +(-6.86857 - 9.75850i) q^{86} +(-12.4724 - 1.94494i) q^{87} +(-8.48266 - 2.81029i) q^{88} +(-0.606111 - 0.907109i) q^{89} +(2.54718 - 8.69005i) q^{90} +(1.05858 - 0.321118i) q^{91} +(0.839589 - 0.925290i) q^{92} +(0.603753 - 2.33650i) q^{93} +(-4.59190 + 9.11611i) q^{94} +(-10.8026 + 10.8026i) q^{95} +(5.71240 - 7.96043i) q^{96} +(3.22846 + 3.22846i) q^{97} +(-0.479572 + 0.158279i) q^{98} +(1.71072 + 9.32246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

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

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07112 + 0.923423i −0.757394 + 0.652958i
\(3\) 1.49221 0.879386i 0.861526 0.507714i
\(4\) 0.294582 1.97819i 0.147291 0.989093i
\(5\) −1.88241 1.00617i −0.841839 0.449973i −0.00667811 0.999978i \(-0.502126\pi\)
−0.835161 + 0.550005i \(0.814626\pi\)
\(6\) −0.786282 + 2.31986i −0.320998 + 0.947080i
\(7\) 2.66028 + 0.529163i 1.00549 + 0.200005i 0.670256 0.742130i \(-0.266184\pi\)
0.335235 + 0.942135i \(0.391184\pi\)
\(8\) 1.51117 + 2.39089i 0.534279 + 0.845308i
\(9\) 1.45336 2.62445i 0.484453 0.874817i
\(10\) 2.94540 0.660535i 0.931417 0.208880i
\(11\) −2.44223 + 2.00429i −0.736360 + 0.604315i −0.925993 0.377540i \(-0.876770\pi\)
0.189633 + 0.981855i \(0.439270\pi\)
\(12\) −1.30001 3.21091i −0.375282 0.926911i
\(13\) 0.359681 0.192253i 0.0997575 0.0533215i −0.420763 0.907170i \(-0.638238\pi\)
0.520521 + 0.853849i \(0.325738\pi\)
\(14\) −3.33811 + 1.88977i −0.892148 + 0.505062i
\(15\) −3.69376 + 0.153954i −0.953724 + 0.0397507i
\(16\) −3.82644 1.16548i −0.956611 0.291369i
\(17\) 7.42890 3.07715i 1.80177 0.746319i 0.816042 0.577993i \(-0.196164\pi\)
0.985731 0.168326i \(-0.0538362\pi\)
\(18\) 0.866761 + 4.15316i 0.204297 + 0.978909i
\(19\) 2.07770 6.84926i 0.476657 1.57133i −0.307993 0.951389i \(-0.599657\pi\)
0.784650 0.619939i \(-0.212843\pi\)
\(20\) −2.54491 + 3.42736i −0.569060 + 0.766381i
\(21\) 4.43502 1.54979i 0.967802 0.338193i
\(22\) 0.765110 4.40204i 0.163122 0.938517i
\(23\) 0.519431 + 0.347073i 0.108309 + 0.0723697i 0.608545 0.793519i \(-0.291753\pi\)
−0.500236 + 0.865889i \(0.666753\pi\)
\(24\) 4.35750 + 2.23880i 0.889470 + 0.456993i
\(25\) −0.246760 0.369302i −0.0493520 0.0738605i
\(26\) −0.207729 + 0.538063i −0.0407390 + 0.105523i
\(27\) −0.139195 5.19429i −0.0267881 0.999641i
\(28\) 1.83045 5.10665i 0.345923 0.965066i
\(29\) −5.63366 4.62343i −1.04614 0.858549i −0.0559768 0.998432i \(-0.517827\pi\)
−0.990168 + 0.139883i \(0.955327\pi\)
\(30\) 3.81428 3.57580i 0.696389 0.652849i
\(31\) 0.985204 0.985204i 0.176948 0.176948i −0.613076 0.790024i \(-0.710068\pi\)
0.790024 + 0.613076i \(0.210068\pi\)
\(32\) 5.17479 2.28506i 0.914783 0.403946i
\(33\) −1.88177 + 5.13847i −0.327574 + 0.894493i
\(34\) −5.11571 + 10.1560i −0.877337 + 1.74174i
\(35\) −4.47531 3.67279i −0.756465 0.620815i
\(36\) −4.76352 3.64813i −0.793920 0.608022i
\(37\) 2.05688 + 6.78064i 0.338150 + 1.11473i 0.946943 + 0.321401i \(0.104154\pi\)
−0.608793 + 0.793329i \(0.708346\pi\)
\(38\) 4.09930 + 9.25495i 0.664994 + 1.50135i
\(39\) 0.367653 0.603180i 0.0588716 0.0965861i
\(40\) −0.439001 6.02113i −0.0694121 0.952025i
\(41\) −0.894207 0.597490i −0.139652 0.0933122i 0.483782 0.875189i \(-0.339263\pi\)
−0.623434 + 0.781876i \(0.714263\pi\)
\(42\) −3.31931 + 5.75541i −0.512181 + 0.888079i
\(43\) −0.827086 + 8.39754i −0.126129 + 1.28061i 0.698775 + 0.715341i \(0.253729\pi\)
−0.824905 + 0.565272i \(0.808771\pi\)
\(44\) 3.24542 + 5.42161i 0.489265 + 0.817339i
\(45\) −5.37646 + 3.47797i −0.801475 + 0.518465i
\(46\) −0.876866 + 0.107899i −0.129287 + 0.0159088i
\(47\) 6.66824 2.76208i 0.972663 0.402890i 0.160960 0.986961i \(-0.448541\pi\)
0.811703 + 0.584071i \(0.198541\pi\)
\(48\) −6.73475 + 1.62579i −0.972077 + 0.234663i
\(49\) 0.329918 + 0.136656i 0.0471311 + 0.0195224i
\(50\) 0.605331 + 0.167702i 0.0856067 + 0.0237167i
\(51\) 8.37945 11.1246i 1.17336 1.55776i
\(52\) −0.274358 0.768150i −0.0380465 0.106523i
\(53\) −9.17930 + 7.53326i −1.26087 + 1.03477i −0.263332 + 0.964705i \(0.584822\pi\)
−0.997542 + 0.0700677i \(0.977678\pi\)
\(54\) 4.94562 + 5.43515i 0.673013 + 0.739630i
\(55\) 6.61393 1.31559i 0.891822 0.177394i
\(56\) 2.75497 + 7.16010i 0.368148 + 0.956808i
\(57\) −2.92279 12.0476i −0.387133 1.59574i
\(58\) 10.3037 0.250021i 1.35294 0.0328293i
\(59\) 9.35911 + 5.00255i 1.21845 + 0.651276i 0.950070 0.312037i \(-0.101011\pi\)
0.268382 + 0.963313i \(0.413511\pi\)
\(60\) −0.783564 + 7.35229i −0.101158 + 0.949176i
\(61\) 0.741350 + 7.52705i 0.0949202 + 0.963740i 0.918203 + 0.396110i \(0.129640\pi\)
−0.823283 + 0.567631i \(0.807860\pi\)
\(62\) −0.145509 + 1.96503i −0.0184796 + 0.249559i
\(63\) 5.25510 6.21271i 0.662081 0.782728i
\(64\) −3.43273 + 7.22609i −0.429091 + 0.903261i
\(65\) −0.870506 −0.107973
\(66\) −2.72939 7.24157i −0.335964 0.891376i
\(67\) 3.75890 0.370220i 0.459223 0.0452295i 0.134239 0.990949i \(-0.457141\pi\)
0.324984 + 0.945719i \(0.394641\pi\)
\(68\) −3.89876 15.6022i −0.472794 1.89205i
\(69\) 1.08031 + 0.0611235i 0.130054 + 0.00735841i
\(70\) 8.18512 0.198613i 0.978309 0.0237388i
\(71\) −1.09348 0.217507i −0.129772 0.0258133i 0.129777 0.991543i \(-0.458574\pi\)
−0.259549 + 0.965730i \(0.583574\pi\)
\(72\) 8.47105 0.491169i 0.998323 0.0578849i
\(73\) 0.726123 + 3.65047i 0.0849863 + 0.427255i 0.999730 + 0.0232211i \(0.00739218\pi\)
−0.914744 + 0.404034i \(0.867608\pi\)
\(74\) −8.46456 5.36348i −0.983985 0.623492i
\(75\) −0.692976 0.334078i −0.0800180 0.0385760i
\(76\) −12.9371 6.12774i −1.48398 0.702900i
\(77\) −7.55761 + 4.03963i −0.861269 + 0.460358i
\(78\) 0.163191 + 0.985575i 0.0184777 + 0.111594i
\(79\) −4.98792 + 12.0419i −0.561184 + 1.35482i 0.347635 + 0.937630i \(0.386985\pi\)
−0.908820 + 0.417189i \(0.863015\pi\)
\(80\) 6.03027 + 6.04395i 0.674205 + 0.675734i
\(81\) −4.77549 7.62854i −0.530610 0.847616i
\(82\) 1.50954 0.185749i 0.166700 0.0205126i
\(83\) 0.0763543 0.251706i 0.00838098 0.0276284i −0.952650 0.304069i \(-0.901655\pi\)
0.961031 + 0.276440i \(0.0891548\pi\)
\(84\) −1.75930 9.22985i −0.191956 1.00706i
\(85\) −17.0804 1.68227i −1.85263 0.182468i
\(86\) −6.86857 9.75850i −0.740657 1.05229i
\(87\) −12.4724 1.94494i −1.33718 0.208520i
\(88\) −8.48266 2.81029i −0.904254 0.299578i
\(89\) −0.606111 0.907109i −0.0642477 0.0961534i 0.797955 0.602717i \(-0.205915\pi\)
−0.862202 + 0.506564i \(0.830915\pi\)
\(90\) 2.54718 8.69005i 0.268496 0.916012i
\(91\) 1.05858 0.321118i 0.110970 0.0336623i
\(92\) 0.839589 0.925290i 0.0875332 0.0964682i
\(93\) 0.603753 2.33650i 0.0626062 0.242284i
\(94\) −4.59190 + 9.11611i −0.473618 + 0.940255i
\(95\) −10.8026 + 10.8026i −1.10832 + 1.10832i
\(96\) 5.71240 7.96043i 0.583020 0.812458i
\(97\) 3.22846 + 3.22846i 0.327801 + 0.327801i 0.851750 0.523949i \(-0.175542\pi\)
−0.523949 + 0.851750i \(0.675542\pi\)
\(98\) −0.479572 + 0.158279i −0.0484441 + 0.0159886i
\(99\) 1.71072 + 9.32246i 0.171933 + 0.936943i
\(100\) −0.803240 + 0.379348i −0.0803240 + 0.0379348i
\(101\) 3.46090 + 11.4091i 0.344373 + 1.13524i 0.942602 + 0.333919i \(0.108371\pi\)
−0.598229 + 0.801325i \(0.704129\pi\)
\(102\) 1.29736 + 19.6535i 0.128458 + 1.94599i
\(103\) −7.12477 + 4.76062i −0.702025 + 0.469078i −0.854649 0.519206i \(-0.826228\pi\)
0.152624 + 0.988284i \(0.451228\pi\)
\(104\) 1.00320 + 0.569430i 0.0983714 + 0.0558372i
\(105\) −9.90789 1.54504i −0.966911 0.150780i
\(106\) 2.87572 16.5454i 0.279315 1.60703i
\(107\) 1.76797 17.9505i 0.170916 1.73534i −0.401925 0.915672i \(-0.631659\pi\)
0.572841 0.819666i \(-0.305841\pi\)
\(108\) −10.3163 1.25479i −0.992684 0.120742i
\(109\) −12.8572 3.90018i −1.23149 0.373570i −0.393539 0.919308i \(-0.628749\pi\)
−0.837956 + 0.545738i \(0.816249\pi\)
\(110\) −5.86944 + 7.51660i −0.559629 + 0.716680i
\(111\) 9.03210 + 8.30931i 0.857289 + 0.788685i
\(112\) −9.56268 5.12530i −0.903589 0.484295i
\(113\) −4.79049 1.98429i −0.450652 0.186666i 0.145802 0.989314i \(-0.453424\pi\)
−0.596453 + 0.802648i \(0.703424\pi\)
\(114\) 14.2557 + 10.2054i 1.33517 + 0.955825i
\(115\) −0.628568 1.17597i −0.0586143 0.109660i
\(116\) −10.8056 + 9.78246i −1.00327 + 0.908278i
\(117\) 0.0181857 1.22338i 0.00168126 0.113101i
\(118\) −14.6442 + 3.28410i −1.34810 + 0.302326i
\(119\) 21.3913 4.25499i 1.96093 0.390054i
\(120\) −5.94998 8.59872i −0.543156 0.784952i
\(121\) −0.198670 + 0.998779i −0.0180609 + 0.0907981i
\(122\) −7.74472 7.37777i −0.701174 0.667952i
\(123\) −1.85977 0.105225i −0.167689 0.00948781i
\(124\) −1.65869 2.23914i −0.148955 0.201081i
\(125\) 1.13898 + 11.5643i 0.101874 + 1.03434i
\(126\) 0.108130 + 11.5072i 0.00963295 + 1.02514i
\(127\) 3.78662i 0.336008i −0.985786 0.168004i \(-0.946268\pi\)
0.985786 0.168004i \(-0.0537321\pi\)
\(128\) −2.99588 10.9098i −0.264801 0.964303i
\(129\) 6.15050 + 13.2582i 0.541522 + 1.16732i
\(130\) 0.932413 0.803845i 0.0817781 0.0705018i
\(131\) −2.20802 + 0.217471i −0.192916 + 0.0190006i −0.194014 0.980999i \(-0.562151\pi\)
0.00109768 + 0.999999i \(0.499651\pi\)
\(132\) 9.61052 + 5.23619i 0.836489 + 0.455752i
\(133\) 9.15163 17.1215i 0.793547 1.48462i
\(134\) −3.68435 + 3.86760i −0.318280 + 0.334110i
\(135\) −4.96431 + 9.91783i −0.427260 + 0.853591i
\(136\) 18.5835 + 13.1116i 1.59352 + 1.12431i
\(137\) 0.996607 + 5.01028i 0.0851459 + 0.428057i 0.999721 + 0.0236401i \(0.00752559\pi\)
−0.914575 + 0.404417i \(0.867474\pi\)
\(138\) −1.21358 + 0.932111i −0.103307 + 0.0793466i
\(139\) −0.822955 1.00277i −0.0698021 0.0850542i 0.736939 0.675960i \(-0.236271\pi\)
−0.806741 + 0.590905i \(0.798771\pi\)
\(140\) −8.58381 + 7.77106i −0.725465 + 0.656774i
\(141\) 7.52146 9.98555i 0.633421 0.840935i
\(142\) 1.37209 0.776769i 0.115144 0.0651850i
\(143\) −0.493092 + 1.19043i −0.0412344 + 0.0995488i
\(144\) −8.61993 + 8.34846i −0.718327 + 0.695705i
\(145\) 5.95291 + 14.3716i 0.494363 + 1.19350i
\(146\) −4.14869 3.23956i −0.343348 0.268108i
\(147\) 0.612480 0.0862057i 0.0505165 0.00711012i
\(148\) 14.0193 2.07145i 1.15238 0.170272i
\(149\) 5.82007 + 0.573227i 0.476799 + 0.0469606i 0.333563 0.942728i \(-0.391749\pi\)
0.143236 + 0.989689i \(0.454249\pi\)
\(150\) 1.05075 0.282073i 0.0857937 0.0230312i
\(151\) 9.08545 13.5973i 0.739364 1.10654i −0.250992 0.967989i \(-0.580757\pi\)
0.990356 0.138547i \(-0.0442432\pi\)
\(152\) 19.5156 5.38284i 1.58292 0.436606i
\(153\) 2.72103 23.9690i 0.219982 1.93778i
\(154\) 4.36480 11.3058i 0.351726 0.911045i
\(155\) −2.84584 + 0.863276i −0.228583 + 0.0693400i
\(156\) −1.08490 0.904972i −0.0868614 0.0724557i
\(157\) −4.63461 + 5.64729i −0.369882 + 0.450703i −0.924375 0.381486i \(-0.875413\pi\)
0.554492 + 0.832189i \(0.312913\pi\)
\(158\) −5.77712 17.5042i −0.459603 1.39256i
\(159\) −7.07277 + 19.3133i −0.560907 + 1.53165i
\(160\) −12.0402 0.905290i −0.951865 0.0715694i
\(161\) 1.19817 + 1.19817i 0.0944293 + 0.0944293i
\(162\) 12.1595 + 3.76126i 0.955339 + 0.295513i
\(163\) 7.01984 8.55370i 0.549836 0.669978i −0.421736 0.906718i \(-0.638579\pi\)
0.971573 + 0.236741i \(0.0760792\pi\)
\(164\) −1.44536 + 1.59290i −0.112864 + 0.124384i
\(165\) 8.71243 7.77934i 0.678262 0.605620i
\(166\) 0.150647 + 0.340114i 0.0116925 + 0.0263980i
\(167\) 12.7685 8.53165i 0.988057 0.660199i 0.0471586 0.998887i \(-0.484983\pi\)
0.940898 + 0.338689i \(0.109983\pi\)
\(168\) 10.4075 + 8.26166i 0.802954 + 0.637401i
\(169\) −7.13000 + 10.6708i −0.548462 + 0.820831i
\(170\) 19.8485 13.9705i 1.52231 1.07149i
\(171\) −14.9559 15.4073i −1.14371 1.17822i
\(172\) 16.3683 + 4.10989i 1.24807 + 0.313376i
\(173\) −8.57947 2.60255i −0.652285 0.197868i −0.0532374 0.998582i \(-0.516954\pi\)
−0.599048 + 0.800713i \(0.704454\pi\)
\(174\) 15.1554 9.43400i 1.14892 0.715190i
\(175\) −0.461030 1.11302i −0.0348506 0.0841367i
\(176\) 11.6810 4.82293i 0.880489 0.363542i
\(177\) 18.3649 0.765439i 1.38039 0.0575339i
\(178\) 1.48686 + 0.411923i 0.111445 + 0.0308750i
\(179\) 5.75406 + 10.7651i 0.430078 + 0.804620i 0.999852 0.0171815i \(-0.00546930\pi\)
−0.569774 + 0.821801i \(0.692969\pi\)
\(180\) 5.29626 + 11.6602i 0.394760 + 0.869099i
\(181\) −6.90175 8.40981i −0.513003 0.625096i 0.450505 0.892774i \(-0.351244\pi\)
−0.963509 + 0.267678i \(0.913744\pi\)
\(182\) −0.837340 + 1.32148i −0.0620677 + 0.0979543i
\(183\) 7.72544 + 10.5800i 0.571081 + 0.782095i
\(184\) −0.0448645 + 1.76639i −0.00330745 + 0.130220i
\(185\) 2.95057 14.8335i 0.216930 1.09058i
\(186\) 1.51089 + 3.06019i 0.110784 + 0.224384i
\(187\) −11.9756 + 22.4048i −0.875742 + 1.63840i
\(188\) −3.49956 14.0047i −0.255232 1.02140i
\(189\) 2.37832 13.8919i 0.172998 1.01049i
\(190\) 1.59548 21.5462i 0.115748 1.56313i
\(191\) 10.7249i 0.776025i 0.921654 + 0.388013i \(0.126838\pi\)
−0.921654 + 0.388013i \(0.873162\pi\)
\(192\) 1.23219 + 13.8015i 0.0889255 + 0.996038i
\(193\) 26.1200i 1.88016i 0.340951 + 0.940081i \(0.389251\pi\)
−0.340951 + 0.940081i \(0.610749\pi\)
\(194\) −6.43929 0.476825i −0.462314 0.0342340i
\(195\) −1.29897 + 0.765511i −0.0930215 + 0.0548194i
\(196\) 0.367520 0.612383i 0.0262514 0.0437416i
\(197\) −4.77777 + 8.93858i −0.340402 + 0.636847i −0.992631 0.121175i \(-0.961334\pi\)
0.652229 + 0.758022i \(0.273834\pi\)
\(198\) −10.4409 8.40573i −0.742006 0.597369i
\(199\) 0.231020 1.16142i 0.0163766 0.0823305i −0.971733 0.236084i \(-0.924136\pi\)
0.988109 + 0.153753i \(0.0491361\pi\)
\(200\) 0.510066 1.14806i 0.0360671 0.0811798i
\(201\) 5.28349 3.85797i 0.372669 0.272120i
\(202\) −14.2424 9.02456i −1.00209 0.634966i
\(203\) −12.5406 15.2807i −0.880176 1.07250i
\(204\) −19.5381 19.8532i −1.36794 1.39000i
\(205\) 1.08209 + 2.02444i 0.0755763 + 0.141393i
\(206\) 3.23540 11.6784i 0.225421 0.813670i
\(207\) 1.66580 0.858800i 0.115781 0.0596907i
\(208\) −1.60036 + 0.316448i −0.110965 + 0.0219417i
\(209\) 8.65365 + 20.8918i 0.598586 + 1.44511i
\(210\) 12.0392 7.49425i 0.830786 0.517153i
\(211\) 11.2166 + 3.40253i 0.772184 + 0.234240i 0.651701 0.758476i \(-0.274056\pi\)
0.120483 + 0.992715i \(0.461556\pi\)
\(212\) 12.1981 + 20.3775i 0.837772 + 1.39953i
\(213\) −1.82297 + 0.637026i −0.124908 + 0.0436483i
\(214\) 14.6822 + 20.8596i 1.00365 + 1.42594i
\(215\) 10.0063 14.9754i 0.682421 1.02132i
\(216\) 12.2086 8.18226i 0.830692 0.556732i
\(217\) 3.14225 2.09959i 0.213310 0.142529i
\(218\) 17.3731 7.69506i 1.17665 0.521175i
\(219\) 4.29370 + 4.80871i 0.290141 + 0.324942i
\(220\) −0.654144 13.4711i −0.0441024 0.908224i
\(221\) 2.08044 2.53502i 0.139946 0.170524i
\(222\) −17.3474 0.559805i −1.16428 0.0375716i
\(223\) −3.76173 3.76173i −0.251904 0.251904i 0.569847 0.821751i \(-0.307002\pi\)
−0.821751 + 0.569847i \(0.807002\pi\)
\(224\) 14.9756 3.34060i 1.00060 0.223203i
\(225\) −1.32785 + 0.110881i −0.0885232 + 0.00739204i
\(226\) 6.96351 2.29825i 0.463206 0.152877i
\(227\) −2.70058 + 3.29067i −0.179244 + 0.218409i −0.854880 0.518826i \(-0.826369\pi\)
0.675636 + 0.737236i \(0.263869\pi\)
\(228\) −24.6934 + 2.23281i −1.63536 + 0.147872i
\(229\) 12.9270 3.92135i 0.854237 0.259130i 0.167353 0.985897i \(-0.446478\pi\)
0.686884 + 0.726767i \(0.258978\pi\)
\(230\) 1.75919 + 0.679165i 0.115997 + 0.0447828i
\(231\) −7.72512 + 12.6740i −0.508276 + 0.833889i
\(232\) 2.54069 20.4563i 0.166804 1.34302i
\(233\) −10.7422 + 16.0768i −0.703742 + 1.05322i 0.291574 + 0.956548i \(0.405821\pi\)
−0.995316 + 0.0966757i \(0.969179\pi\)
\(234\) 1.11022 + 1.32717i 0.0725771 + 0.0867600i
\(235\) −15.3315 1.51002i −1.00012 0.0985028i
\(236\) 12.6530 17.0404i 0.823639 1.10924i
\(237\) 3.14648 + 22.3553i 0.204386 + 1.45213i
\(238\) −18.9834 + 24.3108i −1.23051 + 1.57583i
\(239\) 2.26608 + 5.47080i 0.146581 + 0.353877i 0.980068 0.198661i \(-0.0636594\pi\)
−0.833488 + 0.552538i \(0.813659\pi\)
\(240\) 14.3134 + 3.71588i 0.923924 + 0.239859i
\(241\) −0.0149736 + 0.0361494i −0.000964532 + 0.00232859i −0.924361 0.381519i \(-0.875401\pi\)
0.923397 + 0.383847i \(0.125401\pi\)
\(242\) −0.709497 1.25327i −0.0456082 0.0805629i
\(243\) −13.8345 7.18385i −0.887481 0.460844i
\(244\) 15.1083 + 0.750804i 0.967210 + 0.0480653i
\(245\) −0.483541 0.589197i −0.0308923 0.0376424i
\(246\) 2.08919 1.60464i 0.133202 0.102308i
\(247\) −0.569484 2.86299i −0.0362354 0.182168i
\(248\) 3.84433 + 0.866705i 0.244115 + 0.0550358i
\(249\) −0.107411 0.442743i −0.00680688 0.0280577i
\(250\) −11.8987 11.3349i −0.752540 0.716884i
\(251\) 0.116489 0.217936i 0.00735272 0.0137560i −0.878218 0.478260i \(-0.841268\pi\)
0.885571 + 0.464504i \(0.153768\pi\)
\(252\) −10.7418 12.2257i −0.676673 0.770148i
\(253\) −1.96420 + 0.193457i −0.123488 + 0.0121625i
\(254\) 3.49665 + 4.05591i 0.219399 + 0.254490i
\(255\) −26.9668 + 12.5100i −1.68873 + 0.783404i
\(256\) 13.2833 + 8.91925i 0.830208 + 0.557453i
\(257\) 6.89155i 0.429883i −0.976627 0.214941i \(-0.931044\pi\)
0.976627 0.214941i \(-0.0689561\pi\)
\(258\) −18.8308 8.52156i −1.17236 0.530529i
\(259\) 1.88383 + 19.1268i 0.117055 + 1.18848i
\(260\) −0.256435 + 1.72202i −0.0159034 + 0.106795i
\(261\) −20.3217 + 8.06577i −1.25788 + 0.499259i
\(262\) 2.16423 2.27188i 0.133707 0.140357i
\(263\) −2.28766 + 11.5009i −0.141063 + 0.709173i 0.843912 + 0.536481i \(0.180247\pi\)
−0.984976 + 0.172692i \(0.944753\pi\)
\(264\) −15.1292 + 3.26600i −0.931138 + 0.201009i
\(265\) 24.8589 4.94475i 1.52707 0.303754i
\(266\) 6.00791 + 26.7899i 0.368369 + 1.64260i
\(267\) −1.70214 0.820589i −0.104169 0.0502192i
\(268\) 0.374941 7.54487i 0.0229032 0.460876i
\(269\) −12.8398 24.0217i −0.782859 1.46463i −0.882858 0.469639i \(-0.844384\pi\)
0.0999992 0.994988i \(-0.468116\pi\)
\(270\) −3.84100 15.2073i −0.233756 0.925487i
\(271\) 16.3308 + 6.76442i 0.992023 + 0.410909i 0.818866 0.573985i \(-0.194603\pi\)
0.173157 + 0.984894i \(0.444603\pi\)
\(272\) −32.0126 + 3.11635i −1.94105 + 0.188956i
\(273\) 1.29724 1.41008i 0.0785125 0.0853419i
\(274\) −5.69409 4.44631i −0.343992 0.268611i
\(275\) 1.34283 + 0.407344i 0.0809759 + 0.0245638i
\(276\) 0.439153 2.11905i 0.0264339 0.127552i
\(277\) 2.47512 25.1303i 0.148716 1.50994i −0.574037 0.818829i \(-0.694624\pi\)
0.722753 0.691106i \(-0.242876\pi\)
\(278\) 1.80746 + 0.314152i 0.108405 + 0.0188416i
\(279\) −1.15377 4.01748i −0.0690741 0.240520i
\(280\) 2.01829 16.2502i 0.120616 0.971135i
\(281\) −12.0490 + 8.05086i −0.718781 + 0.480274i −0.860382 0.509650i \(-0.829775\pi\)
0.141601 + 0.989924i \(0.454775\pi\)
\(282\) 1.16452 + 17.6412i 0.0693461 + 1.05052i
\(283\) −7.64401 25.1989i −0.454389 1.49792i −0.822840 0.568273i \(-0.807612\pi\)
0.368451 0.929647i \(-0.379888\pi\)
\(284\) −0.752388 + 2.09903i −0.0446460 + 0.124555i
\(285\) −6.62004 + 25.6194i −0.392138 + 1.51756i
\(286\) −0.571111 1.73042i −0.0337705 0.102322i
\(287\) −2.06267 2.06267i −0.121756 0.121756i
\(288\) 1.52379 16.9020i 0.0897904 0.995961i
\(289\) 33.6989 33.6989i 1.98229 1.98229i
\(290\) −19.6473 9.89661i −1.15373 0.581149i
\(291\) 7.65660 + 1.97847i 0.448838 + 0.115980i
\(292\) 7.43521 0.361046i 0.435113 0.0211286i
\(293\) 3.85666 1.16991i 0.225309 0.0683466i −0.175612 0.984459i \(-0.556190\pi\)
0.400920 + 0.916113i \(0.368690\pi\)
\(294\) −0.576433 + 0.657914i −0.0336182 + 0.0383703i
\(295\) −12.5843 18.8337i −0.732684 1.09654i
\(296\) −13.1035 + 15.1645i −0.761624 + 0.881418i
\(297\) 10.7508 + 12.4067i 0.623824 + 0.719907i
\(298\) −6.76331 + 4.76039i −0.391788 + 0.275762i
\(299\) 0.253555 + 0.0249730i 0.0146635 + 0.00144423i
\(300\) −0.865007 + 1.27242i −0.0499412 + 0.0734634i
\(301\) −6.64394 + 21.9022i −0.382951 + 1.26242i
\(302\) 2.82451 + 22.9541i 0.162532 + 1.32086i
\(303\) 15.1974 + 13.9812i 0.873065 + 0.803199i
\(304\) −15.9328 + 23.7868i −0.913811 + 1.36427i
\(305\) 6.17796 14.9149i 0.353749 0.854026i
\(306\) 19.2190 + 28.1863i 1.09868 + 1.61130i
\(307\) −19.8724 + 10.6220i −1.13418 + 0.606230i −0.928109 0.372308i \(-0.878566\pi\)
−0.206067 + 0.978538i \(0.566066\pi\)
\(308\) 5.76480 + 16.1404i 0.328480 + 0.919682i
\(309\) −6.44521 + 13.3693i −0.366655 + 0.760551i
\(310\) 2.25106 3.55258i 0.127852 0.201773i
\(311\) −3.38075 16.9962i −0.191705 0.963766i −0.950094 0.311964i \(-0.899013\pi\)
0.758389 0.651802i \(-0.225987\pi\)
\(312\) 1.99772 0.0324896i 0.113099 0.00183936i
\(313\) −8.49193 1.68915i −0.479992 0.0954764i −0.0508367 0.998707i \(-0.516189\pi\)
−0.429156 + 0.903231i \(0.641189\pi\)
\(314\) −0.250626 10.3286i −0.0141436 0.582878i
\(315\) −16.1433 + 6.40735i −0.909572 + 0.361013i
\(316\) 22.3518 + 13.4143i 1.25738 + 0.754616i
\(317\) 22.9212 2.25755i 1.28739 0.126796i 0.568940 0.822379i \(-0.307354\pi\)
0.718446 + 0.695583i \(0.244854\pi\)
\(318\) −10.2586 27.2180i −0.575274 1.52631i
\(319\) 23.0254 1.28917
\(320\) 13.7325 10.1486i 0.767668 0.567322i
\(321\) −13.1472 28.3406i −0.733807 1.58182i
\(322\) −2.38980 0.176963i −0.133179 0.00986178i
\(323\) −5.64118 57.2759i −0.313884 3.18691i
\(324\) −16.4975 + 7.19959i −0.916525 + 0.399977i
\(325\) −0.159754 0.0853905i −0.00886158 0.00473661i
\(326\) 0.379612 + 15.6443i 0.0210247 + 0.866457i
\(327\) −22.6153 + 5.48655i −1.25063 + 0.303407i
\(328\) 0.0772348 3.04086i 0.00426458 0.167903i
\(329\) 19.2010 3.81931i 1.05858 0.210565i
\(330\) −2.14842 + 16.3778i −0.118267 + 0.901570i
\(331\) −12.7274 + 10.4451i −0.699563 + 0.574117i −0.915513 0.402288i \(-0.868215\pi\)
0.215950 + 0.976404i \(0.430715\pi\)
\(332\) −0.475430 0.225191i −0.0260926 0.0123590i
\(333\) 20.7848 + 4.45651i 1.13900 + 0.244215i
\(334\) −5.79825 + 20.9291i −0.317266 + 1.14519i
\(335\) −7.44830 3.08519i −0.406944 0.168562i
\(336\) −18.7766 + 0.761288i −1.02435 + 0.0415317i
\(337\) −16.6479 + 6.89577i −0.906867 + 0.375637i −0.786857 0.617136i \(-0.788293\pi\)
−0.120011 + 0.992773i \(0.538293\pi\)
\(338\) −2.21660 18.0137i −0.120567 0.979815i
\(339\) −8.89336 + 1.25173i −0.483021 + 0.0679845i
\(340\) −8.35941 + 33.2926i −0.453353 + 1.80554i
\(341\) −0.431464 + 4.38073i −0.0233651 + 0.237230i
\(342\) 30.2469 + 2.69235i 1.63557 + 0.145586i
\(343\) −14.9816 10.0104i −0.808929 0.540509i
\(344\) −21.3275 + 10.7126i −1.14990 + 0.577587i
\(345\) −1.97208 1.20203i −0.106173 0.0647153i
\(346\) 11.5929 5.13484i 0.623237 0.276051i
\(347\) −4.17414 13.7603i −0.224080 0.738692i −0.994830 0.101555i \(-0.967618\pi\)
0.770750 0.637137i \(-0.219882\pi\)
\(348\) −7.52159 + 24.0997i −0.403199 + 1.29188i
\(349\) −12.0706 9.90612i −0.646127 0.530262i 0.253270 0.967396i \(-0.418494\pi\)
−0.899397 + 0.437133i \(0.855994\pi\)
\(350\) 1.52161 + 0.766453i 0.0813334 + 0.0409687i
\(351\) −1.04868 1.84152i −0.0559747 0.0982933i
\(352\) −8.05811 + 15.9524i −0.429499 + 0.850267i
\(353\) −4.18893 + 4.18893i −0.222954 + 0.222954i −0.809741 0.586787i \(-0.800393\pi\)
0.586787 + 0.809741i \(0.300393\pi\)
\(354\) −18.9641 + 17.7784i −1.00793 + 0.944913i
\(355\) 1.83953 + 1.50966i 0.0976320 + 0.0801245i
\(356\) −1.97298 + 0.931783i −0.104568 + 0.0493844i
\(357\) 28.1784 25.1605i 1.49136 1.33164i
\(358\) −16.1040 6.21723i −0.851122 0.328591i
\(359\) 10.0175 + 14.9923i 0.528705 + 0.791263i 0.995665 0.0930154i \(-0.0296506\pi\)
−0.466959 + 0.884279i \(0.654651\pi\)
\(360\) −16.4402 7.59873i −0.866474 0.400488i
\(361\) −26.7976 17.9056i −1.41040 0.942398i
\(362\) 15.1584 + 2.63465i 0.796707 + 0.138474i
\(363\) 0.581857 + 1.66509i 0.0305396 + 0.0873947i
\(364\) −0.323392 2.18867i −0.0169503 0.114718i
\(365\) 2.30613 7.60228i 0.120708 0.397922i
\(366\) −18.0446 4.19856i −0.943208 0.219462i
\(367\) −17.5374 + 7.26425i −0.915447 + 0.379191i −0.790139 0.612927i \(-0.789992\pi\)
−0.125308 + 0.992118i \(0.539992\pi\)
\(368\) −1.58307 1.93344i −0.0825232 0.100787i
\(369\) −2.86769 + 1.47844i −0.149286 + 0.0769643i
\(370\) 10.5372 + 18.6130i 0.547803 + 0.967646i
\(371\) −28.4058 + 15.1832i −1.47476 + 0.788274i
\(372\) −4.44418 1.88263i −0.230420 0.0976096i
\(373\) 20.4865 16.8128i 1.06075 0.870535i 0.0688588 0.997626i \(-0.478064\pi\)
0.991891 + 0.127092i \(0.0405642\pi\)
\(374\) −7.86180 35.0566i −0.406524 1.81274i
\(375\) 11.8691 + 16.2547i 0.612916 + 0.839389i
\(376\) 16.6807 + 11.7691i 0.860240 + 0.606944i
\(377\) −2.91519 0.579867i −0.150140 0.0298647i
\(378\) 10.2806 + 17.0761i 0.528779 + 0.878298i
\(379\) 6.18765 + 3.30737i 0.317838 + 0.169888i 0.622599 0.782541i \(-0.286077\pi\)
−0.304761 + 0.952429i \(0.598577\pi\)
\(380\) 18.1873 + 24.5518i 0.932989 + 1.25948i
\(381\) −3.32990 5.65041i −0.170596 0.289479i
\(382\) −9.90360 11.4876i −0.506712 0.587757i
\(383\) −8.38208 −0.428304 −0.214152 0.976800i \(-0.568699\pi\)
−0.214152 + 0.976800i \(0.568699\pi\)
\(384\) −14.0644 13.6452i −0.717723 0.696329i
\(385\) 18.2911 0.932199
\(386\) −24.1198 27.9776i −1.22767 1.42402i
\(387\) 20.8369 + 14.3753i 1.05920 + 0.730737i
\(388\) 7.33754 5.43545i 0.372507 0.275943i
\(389\) 14.5416 + 7.77265i 0.737289 + 0.394089i 0.796883 0.604133i \(-0.206481\pi\)
−0.0595941 + 0.998223i \(0.518981\pi\)
\(390\) 0.684463 2.01945i 0.0346591 0.102259i
\(391\) 4.92680 + 0.980001i 0.249159 + 0.0495608i
\(392\) 0.171831 + 0.995309i 0.00867880 + 0.0502707i
\(393\) −3.10359 + 2.26622i −0.156555 + 0.114316i
\(394\) −3.13654 13.9862i −0.158016 0.704612i
\(395\) 21.5055 17.6491i 1.08206 0.888022i
\(396\) 18.9455 0.637887i 0.952048 0.0320550i
\(397\) 18.5860 9.93441i 0.932803 0.498594i 0.0663193 0.997798i \(-0.478874\pi\)
0.866484 + 0.499205i \(0.166374\pi\)
\(398\) 0.825028 + 1.45734i 0.0413549 + 0.0730498i
\(399\) −1.40029 33.5966i −0.0701022 1.68194i
\(400\) 0.513800 + 1.70071i 0.0256900 + 0.0850354i
\(401\) 12.4559 5.15940i 0.622018 0.257648i −0.0493394 0.998782i \(-0.515712\pi\)
0.671357 + 0.741134i \(0.265712\pi\)
\(402\) −2.09670 + 9.01123i −0.104574 + 0.449440i
\(403\) 0.164950 0.543768i 0.00821675 0.0270870i
\(404\) 23.5888 3.48541i 1.17359 0.173405i
\(405\) 1.31383 + 19.1650i 0.0652849 + 0.952316i
\(406\) 27.5430 + 4.78720i 1.36694 + 0.237585i
\(407\) −18.6137 12.4373i −0.922648 0.616494i
\(408\) 39.2605 + 3.22316i 1.94369 + 0.159570i
\(409\) 12.6024 + 18.8609i 0.623151 + 0.932611i 0.999980 + 0.00632857i \(0.00201446\pi\)
−0.376829 + 0.926283i \(0.622986\pi\)
\(410\) −3.02846 1.16919i −0.149565 0.0577423i
\(411\) 5.89312 + 6.59997i 0.290686 + 0.325553i
\(412\) 7.31857 + 15.4965i 0.360560 + 0.763459i
\(413\) 22.2507 + 18.2607i 1.09488 + 0.898548i
\(414\) −0.991226 + 2.45811i −0.0487161 + 0.120809i
\(415\) −0.396989 + 0.396989i −0.0194874 + 0.0194874i
\(416\) 1.42196 1.81676i 0.0697174 0.0890742i
\(417\) −2.10984 0.772650i −0.103320 0.0378368i
\(418\) −28.5610 14.3865i −1.39696 0.703669i
\(419\) 23.6925 + 19.4439i 1.15745 + 0.949896i 0.999296 0.0375177i \(-0.0119451\pi\)
0.158156 + 0.987414i \(0.449445\pi\)
\(420\) −5.97505 + 19.1445i −0.291553 + 0.934157i
\(421\) −4.63980 15.2954i −0.226130 0.745450i −0.994434 0.105365i \(-0.966399\pi\)
0.768304 0.640085i \(-0.221101\pi\)
\(422\) −15.1563 + 6.71318i −0.737796 + 0.326793i
\(423\) 2.44242 21.5148i 0.118754 1.04608i
\(424\) −31.8827 10.5627i −1.54836 0.512969i
\(425\) −2.96956 1.98419i −0.144045 0.0962475i
\(426\) 1.36437 2.36570i 0.0661039 0.114619i
\(427\) −2.01084 + 20.4164i −0.0973112 + 0.988017i
\(428\) −34.9886 8.78526i −1.69124 0.424651i
\(429\) 0.311053 + 2.20999i 0.0150178 + 0.106699i
\(430\) 3.11078 + 25.2804i 0.150015 + 1.21913i
\(431\) 5.82517 2.41286i 0.280589 0.116224i −0.237951 0.971277i \(-0.576476\pi\)
0.518540 + 0.855054i \(0.326476\pi\)
\(432\) −5.52119 + 20.0379i −0.265638 + 0.964073i
\(433\) 14.3771 + 5.95518i 0.690919 + 0.286188i 0.700383 0.713767i \(-0.253013\pi\)
−0.00946419 + 0.999955i \(0.503013\pi\)
\(434\) −1.42691 + 5.15053i −0.0684941 + 0.247233i
\(435\) 21.5212 + 16.2105i 1.03186 + 0.777233i
\(436\) −11.5028 + 24.2850i −0.550883 + 1.16304i
\(437\) 3.45641 2.83660i 0.165343 0.135693i
\(438\) −9.03952 1.18579i −0.431925 0.0566593i
\(439\) 20.1088 3.99989i 0.959740 0.190904i 0.309726 0.950826i \(-0.399763\pi\)
0.650015 + 0.759922i \(0.274763\pi\)
\(440\) 13.1402 + 13.8251i 0.626435 + 0.659086i
\(441\) 0.838138 0.667243i 0.0399113 0.0317735i
\(442\) 0.112504 + 4.63643i 0.00535126 + 0.220532i
\(443\) 23.1280 + 12.3622i 1.09884 + 0.587344i 0.918165 0.396199i \(-0.129671\pi\)
0.180678 + 0.983542i \(0.442171\pi\)
\(444\) 19.0981 15.4194i 0.906354 0.731772i
\(445\) 0.228244 + 2.31740i 0.0108198 + 0.109855i
\(446\) 7.50291 + 0.555585i 0.355273 + 0.0263077i
\(447\) 9.18884 4.26272i 0.434617 0.201620i
\(448\) −12.9558 + 17.4070i −0.612104 + 0.822401i
\(449\) −38.7884 −1.83054 −0.915270 0.402842i \(-0.868022\pi\)
−0.915270 + 0.402842i \(0.868022\pi\)
\(450\) 1.31989 1.34493i 0.0622202 0.0634006i
\(451\) 3.38140 0.333039i 0.159224 0.0156822i
\(452\) −5.33648 + 8.89195i −0.251007 + 0.418242i
\(453\) 1.60005 28.2797i 0.0751771 1.32869i
\(454\) −0.146039 6.01847i −0.00685396 0.282461i
\(455\) −2.31579 0.460639i −0.108566 0.0215951i
\(456\) 24.3877 25.1941i 1.14206 1.17982i
\(457\) 0.0170817 + 0.0858756i 0.000799049 + 0.00401709i 0.981183 0.193081i \(-0.0618481\pi\)
−0.980384 + 0.197098i \(0.936848\pi\)
\(458\) −10.2252 + 16.1373i −0.477793 + 0.754045i
\(459\) −17.0177 38.1595i −0.794317 1.78113i
\(460\) −2.51145 + 0.897006i −0.117097 + 0.0418231i
\(461\) −36.3686 + 19.4394i −1.69385 + 0.905384i −0.715455 + 0.698659i \(0.753781\pi\)
−0.978399 + 0.206725i \(0.933719\pi\)
\(462\) −3.42897 20.7089i −0.159530 0.963465i
\(463\) −5.83983 + 14.0986i −0.271400 + 0.655217i −0.999544 0.0302074i \(-0.990383\pi\)
0.728144 + 0.685424i \(0.240383\pi\)
\(464\) 16.1684 + 24.2572i 0.750599 + 1.12611i
\(465\) −3.48743 + 3.79078i −0.161726 + 0.175793i
\(466\) −3.33955 27.1396i −0.154702 1.25722i
\(467\) 1.59287 5.25100i 0.0737093 0.242987i −0.912342 0.409429i \(-0.865728\pi\)
0.986051 + 0.166442i \(0.0532279\pi\)
\(468\) −2.41471 0.396359i −0.111620 0.0183217i
\(469\) 10.1956 + 1.00418i 0.470791 + 0.0463689i
\(470\) 17.8162 12.5400i 0.821800 0.578428i
\(471\) −1.94965 + 12.5025i −0.0898350 + 0.576087i
\(472\) 2.18266 + 29.9363i 0.100465 + 1.37793i
\(473\) −14.8111 22.1665i −0.681017 1.01921i
\(474\) −24.0136 21.0396i −1.10298 0.966381i
\(475\) −3.04214 + 0.922823i −0.139583 + 0.0423420i
\(476\) −2.11568 43.5694i −0.0969721 1.99700i
\(477\) 6.42985 + 35.0392i 0.294403 + 1.60433i
\(478\) −7.47910 3.76732i −0.342086 0.172313i
\(479\) −2.20729 + 2.20729i −0.100854 + 0.100854i −0.755733 0.654879i \(-0.772719\pi\)
0.654879 + 0.755733i \(0.272719\pi\)
\(480\) −18.7626 + 9.23715i −0.856393 + 0.421616i
\(481\) 2.04342 + 2.04342i 0.0931720 + 0.0931720i
\(482\) −0.0173427 0.0525471i −0.000789939 0.00239346i
\(483\) 2.84158 + 0.734265i 0.129296 + 0.0334102i
\(484\) 1.91725 + 0.687228i 0.0871476 + 0.0312376i
\(485\) −2.82891 9.32567i −0.128454 0.423457i
\(486\) 21.4521 5.08030i 0.973085 0.230447i
\(487\) 16.8132 11.2342i 0.761880 0.509072i −0.112892 0.993607i \(-0.536011\pi\)
0.874772 + 0.484536i \(0.161011\pi\)
\(488\) −16.8761 + 13.1471i −0.763944 + 0.595143i
\(489\) 2.95304 18.9370i 0.133541 0.856363i
\(490\) 1.06201 + 0.184586i 0.0479766 + 0.00833873i
\(491\) −3.03087 + 30.7729i −0.136781 + 1.38876i 0.644509 + 0.764596i \(0.277062\pi\)
−0.781291 + 0.624167i \(0.785438\pi\)
\(492\) −0.756007 + 3.64797i −0.0340834 + 0.164463i
\(493\) −56.0789 17.0114i −2.52567 0.766153i
\(494\) 3.25373 + 2.54072i 0.146392 + 0.114312i
\(495\) 6.15971 19.2700i 0.276858 0.866121i
\(496\) −4.91806 + 2.62160i −0.220827 + 0.117713i
\(497\) −2.79387 1.15726i −0.125322 0.0519101i
\(498\) 0.523888 + 0.375044i 0.0234760 + 0.0168061i
\(499\) 7.77961 + 14.5546i 0.348263 + 0.651555i 0.993677 0.112279i \(-0.0358149\pi\)
−0.645413 + 0.763833i \(0.723315\pi\)
\(500\) 23.2118 + 1.15351i 1.03806 + 0.0515864i
\(501\) 11.5506 23.9594i 0.516045 1.07043i
\(502\) 0.0764733 + 0.341003i 0.00341317 + 0.0152197i
\(503\) −13.9847 + 2.78173i −0.623547 + 0.124031i −0.496744 0.867897i \(-0.665471\pi\)
−0.126802 + 0.991928i \(0.540471\pi\)
\(504\) 22.7953 + 3.17592i 1.01538 + 0.141467i
\(505\) 4.96461 24.9588i 0.220922 1.11065i
\(506\) 1.92525 2.02100i 0.0855877 0.0898446i
\(507\) −1.25568 + 22.1931i −0.0557665 + 0.985629i
\(508\) −7.49063 1.11547i −0.332343 0.0494909i
\(509\) −1.23461 12.5352i −0.0547231 0.555613i −0.982985 0.183686i \(-0.941197\pi\)
0.928262 0.371927i \(-0.121303\pi\)
\(510\) 17.3326 38.3014i 0.767501 1.69601i
\(511\) 10.0955i 0.446599i
\(512\) −22.4642 + 2.71257i −0.992788 + 0.119880i
\(513\) −35.8662 9.83878i −1.58353 0.434393i
\(514\) 6.36381 + 7.38165i 0.280696 + 0.325591i
\(515\) 18.2017 1.79271i 0.802064 0.0789964i
\(516\) 28.0390 8.26122i 1.23435 0.363680i
\(517\) −10.7494 + 20.1107i −0.472758 + 0.884467i
\(518\) −19.6799 18.7475i −0.864687 0.823717i
\(519\) −15.0910 + 3.66112i −0.662421 + 0.160705i
\(520\) −1.31548 2.08129i −0.0576877 0.0912704i
\(521\) 1.64466 + 8.26826i 0.0720539 + 0.362239i 0.999944 0.0106154i \(-0.00337904\pi\)
−0.927890 + 0.372855i \(0.878379\pi\)
\(522\) 14.3188 27.4049i 0.626716 1.19948i
\(523\) −13.0013 15.8421i −0.568505 0.692725i 0.406818 0.913509i \(-0.366638\pi\)
−0.975323 + 0.220784i \(0.929138\pi\)
\(524\) −0.220245 + 4.43195i −0.00962143 + 0.193610i
\(525\) −1.66673 1.25544i −0.0727420 0.0547918i
\(526\) −8.16980 14.4312i −0.356220 0.629232i
\(527\) 4.28736 10.3506i 0.186760 0.450880i
\(528\) 13.1892 17.4689i 0.573988 0.760237i
\(529\) −8.65237 20.8887i −0.376190 0.908203i
\(530\) −22.0607 + 28.2517i −0.958257 + 1.22718i
\(531\) 26.7311 17.2920i 1.16003 0.750410i
\(532\) −31.1736 23.1473i −1.35155 1.00356i
\(533\) −0.436498 0.0429913i −0.0189068 0.00186216i
\(534\) 2.58094 0.692851i 0.111688 0.0299826i
\(535\) −21.3893 + 32.0113i −0.924739 + 1.38397i
\(536\) 6.56550 + 8.42767i 0.283586 + 0.364020i
\(537\) 18.0529 + 11.0037i 0.779040 + 0.474844i
\(538\) 35.9351 + 13.8734i 1.54927 + 0.598125i
\(539\) −1.07963 + 0.327504i −0.0465031 + 0.0141066i
\(540\) 18.1569 + 12.7419i 0.781350 + 0.548326i
\(541\) 6.06897 7.39506i 0.260925 0.317938i −0.626025 0.779803i \(-0.715319\pi\)
0.886951 + 0.461864i \(0.152819\pi\)
\(542\) −23.7386 + 7.83470i −1.01966 + 0.336529i
\(543\) −17.6943 6.47986i −0.759335 0.278078i
\(544\) 31.4115 32.8991i 1.34676 1.41054i
\(545\) 20.2782 + 20.2782i 0.868625 + 0.868625i
\(546\) −0.0873960 + 2.70826i −0.00374020 + 0.115903i
\(547\) 27.1371 33.0667i 1.16030 1.41383i 0.267395 0.963587i \(-0.413837\pi\)
0.892906 0.450243i \(-0.148663\pi\)
\(548\) 10.2049 0.495537i 0.435930 0.0211683i
\(549\) 20.8318 + 8.99388i 0.889081 + 0.383849i
\(550\) −1.81448 + 0.803689i −0.0773697 + 0.0342694i
\(551\) −43.3721 + 28.9803i −1.84771 + 1.23460i
\(552\) 1.48639 + 2.67527i 0.0632650 + 0.113867i
\(553\) −19.6414 + 29.3954i −0.835236 + 1.25002i
\(554\) 20.5548 + 29.2031i 0.873289 + 1.24072i
\(555\) −8.64153 24.7294i −0.366813 1.04970i
\(556\) −2.22610 + 1.33256i −0.0944077 + 0.0565131i
\(557\) −28.7156 8.71078i −1.21672 0.369088i −0.384286 0.923214i \(-0.625552\pi\)
−0.832433 + 0.554126i \(0.813052\pi\)
\(558\) 4.94565 + 3.23777i 0.209366 + 0.137066i
\(559\) 1.31697 + 3.17944i 0.0557018 + 0.134476i
\(560\) 12.8440 + 19.2696i 0.542757 + 0.814289i
\(561\) 1.83238 + 43.9637i 0.0773633 + 1.85615i
\(562\) 5.47150 19.7497i 0.230801 0.833091i
\(563\) 7.36868 + 13.7858i 0.310553 + 0.581004i 0.987979 0.154587i \(-0.0494047\pi\)
−0.677426 + 0.735591i \(0.736905\pi\)
\(564\) −17.5376 17.8204i −0.738466 0.750375i
\(565\) 7.02114 + 8.55529i 0.295382 + 0.359924i
\(566\) 31.4569 + 19.9323i 1.32223 + 0.837818i
\(567\) −8.66741 22.8211i −0.363997 0.958395i
\(568\) −1.13240 2.94308i −0.0475144 0.123489i
\(569\) 0.203993 1.02554i 0.00855183 0.0429929i −0.976274 0.216540i \(-0.930523\pi\)
0.984826 + 0.173547i \(0.0555228\pi\)
\(570\) −16.5666 33.5544i −0.693900 1.40544i
\(571\) −6.68054 + 12.4984i −0.279572 + 0.523043i −0.982040 0.188673i \(-0.939581\pi\)
0.702468 + 0.711715i \(0.252081\pi\)
\(572\) 2.20964 + 1.32611i 0.0923895 + 0.0554473i
\(573\) 9.43132 + 16.0037i 0.393999 + 0.668566i
\(574\) 4.11408 + 0.304644i 0.171718 + 0.0127156i
\(575\) 0.277471i 0.0115713i
\(576\) 13.9755 + 19.5111i 0.582314 + 0.812964i
\(577\) 14.2298i 0.592394i −0.955127 0.296197i \(-0.904281\pi\)
0.955127 0.296197i \(-0.0957185\pi\)
\(578\) −4.97713 + 67.2138i −0.207021 + 2.79572i
\(579\) 22.9696 + 38.9765i 0.954585 + 1.61981i
\(580\) 30.1833 7.54236i 1.25329 0.313179i
\(581\) 0.336317 0.629206i 0.0139528 0.0261039i
\(582\) −10.0281 + 4.95111i −0.415677 + 0.205230i
\(583\) 7.31916 36.7959i 0.303129 1.52393i
\(584\) −7.63058 + 7.25256i −0.315756 + 0.300113i
\(585\) −1.26516 + 2.28460i −0.0523078 + 0.0944566i
\(586\) −3.05062 + 4.81443i −0.126020 + 0.198882i
\(587\) 6.73197 + 8.20293i 0.277858 + 0.338571i 0.893175 0.449708i \(-0.148472\pi\)
−0.615317 + 0.788280i \(0.710972\pi\)
\(588\) 0.00989438 1.23699i 0.000408037 0.0510127i
\(589\) −4.70096 8.79488i −0.193700 0.362387i
\(590\) 30.8707 + 8.55248i 1.27093 + 0.352100i
\(591\) 0.731046 + 17.5397i 0.0300712 + 0.721487i
\(592\) 0.0321154 28.3430i 0.00131994 1.16489i
\(593\) 0.881291 + 2.12762i 0.0361903 + 0.0873711i 0.940941 0.338570i \(-0.109943\pi\)
−0.904751 + 0.425941i \(0.859943\pi\)
\(594\) −22.9719 3.36146i −0.942550 0.137922i
\(595\) −44.5484 13.5136i −1.82631 0.554004i
\(596\) 2.84844 11.3443i 0.116677 0.464682i
\(597\) −0.676603 1.93623i −0.0276915 0.0792445i
\(598\) −0.294648 + 0.207390i −0.0120490 + 0.00848079i
\(599\) 21.4058 32.0361i 0.874619 1.30896i −0.0755237 0.997144i \(-0.524063\pi\)
0.950143 0.311816i \(-0.100937\pi\)
\(600\) −0.248461 2.16168i −0.0101434 0.0882502i
\(601\) 31.8416 21.2759i 1.29885 0.867862i 0.302491 0.953152i \(-0.402182\pi\)
0.996356 + 0.0852905i \(0.0271818\pi\)
\(602\) −13.1085 29.5949i −0.534263 1.20620i
\(603\) 4.49141 10.4031i 0.182904 0.423648i
\(604\) −24.2217 21.9783i −0.985566 0.894282i
\(605\) 1.37892 1.68022i 0.0560610 0.0683105i
\(606\) −29.1887 0.941924i −1.18571 0.0382631i
\(607\) −23.7626 23.7626i −0.964495 0.964495i 0.0348961 0.999391i \(-0.488890\pi\)
−0.999391 + 0.0348961i \(0.988890\pi\)
\(608\) −4.89933 40.1912i −0.198694 1.62997i
\(609\) −32.1508 11.7740i −1.30282 0.477106i
\(610\) 7.15546 + 21.6805i 0.289716 + 0.877818i
\(611\) 1.86742 2.27546i 0.0755477 0.0920551i
\(612\) −46.6136 12.4435i −1.88424 0.503000i
\(613\) 6.78481 2.05815i 0.274036 0.0831279i −0.150276 0.988644i \(-0.548016\pi\)
0.424312 + 0.905516i \(0.360516\pi\)
\(614\) 11.4770 29.7280i 0.463175 1.19972i
\(615\) 3.39497 + 2.06931i 0.136898 + 0.0834428i
\(616\) −21.0791 11.9649i −0.849303 0.482078i
\(617\) −4.62950 + 6.92853i −0.186377 + 0.278932i −0.912878 0.408233i \(-0.866145\pi\)
0.726501 + 0.687165i \(0.241145\pi\)
\(618\) −5.44191 20.2717i −0.218906 0.815447i
\(619\) 42.4204 + 4.17804i 1.70502 + 0.167930i 0.903079 0.429474i \(-0.141301\pi\)
0.801940 + 0.597404i \(0.203801\pi\)
\(620\) 0.869389 + 5.88391i 0.0349155 + 0.236303i
\(621\) 1.73049 2.74638i 0.0694423 0.110209i
\(622\) 19.3159 + 15.0830i 0.774495 + 0.604775i
\(623\) −1.13242 2.73390i −0.0453693 0.109531i
\(624\) −2.10979 + 1.87954i −0.0844593 + 0.0752419i
\(625\) 8.64174 20.8630i 0.345669 0.834520i
\(626\) 10.6556 6.03236i 0.425885 0.241102i
\(627\) 31.2850 + 23.5649i 1.24940 + 0.941092i
\(628\) 9.80613 + 10.8317i 0.391307 + 0.432233i
\(629\) 36.1454 + 44.0433i 1.44121 + 1.75612i
\(630\) 11.3747 21.7701i 0.453178 0.867342i
\(631\) −7.13340 35.8620i −0.283976 1.42765i −0.814593 0.580033i \(-0.803040\pi\)
0.530616 0.847612i \(-0.321960\pi\)
\(632\) −36.3285 + 6.27179i −1.44507 + 0.249478i
\(633\) 19.7297 4.78648i 0.784183 0.190245i
\(634\) −22.4667 + 23.5841i −0.892265 + 0.936644i
\(635\) −3.80998 + 7.12796i −0.151194 + 0.282865i
\(636\) 36.1219 + 19.6806i 1.43233 + 0.780387i
\(637\) 0.144938 0.0142751i 0.00574264 0.000565601i
\(638\) −24.6629 + 21.2621i −0.976412 + 0.841777i
\(639\) −2.16005 + 2.55367i −0.0854504 + 0.101022i
\(640\) −5.33767 + 23.5512i −0.210990 + 0.930941i
\(641\) 15.4046i 0.608444i 0.952601 + 0.304222i \(0.0983964\pi\)
−0.952601 + 0.304222i \(0.901604\pi\)
\(642\) 40.2525 + 18.2156i 1.58864 + 0.718912i
\(643\) 2.40992 + 24.4684i 0.0950382 + 0.964939i 0.917930 + 0.396741i \(0.129859\pi\)
−0.822892 + 0.568197i \(0.807641\pi\)
\(644\) 2.72317 2.01725i 0.107308 0.0794908i
\(645\) 1.76222 31.1458i 0.0693873 1.22636i
\(646\) 58.9322 + 56.1399i 2.31866 + 2.20880i
\(647\) 3.46828 17.4362i 0.136352 0.685488i −0.850772 0.525534i \(-0.823865\pi\)
0.987124 0.159954i \(-0.0511345\pi\)
\(648\) 11.0224 22.9457i 0.433002 0.901393i
\(649\) −32.8836 + 6.54096i −1.29080 + 0.256755i
\(650\) 0.249967 0.0560576i 0.00980452 0.00219876i
\(651\) 2.84254 5.89627i 0.111408 0.231093i
\(652\) −14.8529 16.4063i −0.581684 0.642521i
\(653\) −2.26126 4.23052i −0.0884899 0.165553i 0.833783 0.552092i \(-0.186170\pi\)
−0.922273 + 0.386539i \(0.873670\pi\)
\(654\) 19.1573 26.7603i 0.749108 1.04641i
\(655\) 4.37522 + 1.81228i 0.170954 + 0.0708115i
\(656\) 2.72527 + 3.32844i 0.106404 + 0.129954i
\(657\) 10.6358 + 3.39977i 0.414942 + 0.132637i
\(658\) −17.0396 + 21.8215i −0.664275 + 0.850692i
\(659\) −42.0374 12.7519i −1.63754 0.496744i −0.668517 0.743697i \(-0.733070\pi\)
−0.969027 + 0.246954i \(0.920570\pi\)
\(660\) −12.8225 19.5265i −0.499113 0.760067i
\(661\) −0.584611 + 5.93566i −0.0227387 + 0.230870i 0.977098 + 0.212791i \(0.0682553\pi\)
−0.999837 + 0.0180797i \(0.994245\pi\)
\(662\) 3.98730 22.9408i 0.154971 0.891618i
\(663\) 0.875180 5.61229i 0.0339892 0.217963i
\(664\) 0.717187 0.197816i 0.0278323 0.00767677i
\(665\) −34.4542 + 23.0216i −1.33608 + 0.892739i
\(666\) −26.3782 + 14.4198i −1.02214 + 0.558754i
\(667\) −1.32163 4.35684i −0.0511739 0.168698i
\(668\) −13.1158 27.7718i −0.507466 1.07452i
\(669\) −8.92128 2.30526i −0.344917 0.0891266i
\(670\) 10.8269 3.57333i 0.418281 0.138050i
\(671\) −16.8969 16.8969i −0.652298 0.652298i
\(672\) 19.4090 18.1542i 0.748717 0.700313i
\(673\) −27.8348 + 27.8348i −1.07295 + 1.07295i −0.0758337 + 0.997120i \(0.524162\pi\)
−0.997120 + 0.0758337i \(0.975838\pi\)
\(674\) 11.4641 22.7592i 0.441580 0.876651i
\(675\) −1.88392 + 1.33315i −0.0725119 + 0.0513129i
\(676\) 19.0085 + 17.2479i 0.731095 + 0.663381i
\(677\) 39.6893 12.0396i 1.52538 0.462720i 0.587371 0.809318i \(-0.300163\pi\)
0.938014 + 0.346597i \(0.112663\pi\)
\(678\) 8.36995 9.55307i 0.321446 0.366884i
\(679\) 6.88023 + 10.2970i 0.264039 + 0.395162i
\(680\) −21.7892 43.3795i −0.835579 1.66353i
\(681\) −1.13606 + 7.28521i −0.0435338 + 0.279170i
\(682\) −3.58311 5.09069i −0.137205 0.194933i
\(683\) 29.2655 + 2.88240i 1.11981 + 0.110292i 0.640940 0.767591i \(-0.278545\pi\)
0.478875 + 0.877883i \(0.341045\pi\)
\(684\) −34.8842 + 25.0469i −1.33383 + 0.957691i
\(685\) 3.16517 10.4342i 0.120935 0.398669i
\(686\) 25.2908 3.11205i 0.965608 0.118819i
\(687\) 15.8413 17.2192i 0.604383 0.656955i
\(688\) 12.9519 31.1688i 0.493788 1.18830i
\(689\) −1.85332 + 4.47432i −0.0706060 + 0.170458i
\(690\) 3.22232 0.533549i 0.122671 0.0203119i
\(691\) −23.5648 + 12.5956i −0.896447 + 0.479161i −0.854199 0.519946i \(-0.825952\pi\)
−0.0422480 + 0.999107i \(0.513452\pi\)
\(692\) −7.67569 + 16.2051i −0.291786 + 0.616026i
\(693\) −0.382117 + 25.7056i −0.0145154 + 0.976475i
\(694\) 17.1776 + 10.8844i 0.652052 + 0.413166i
\(695\) 0.540179 + 2.71566i 0.0204902 + 0.103011i
\(696\) −14.1977 32.7592i −0.538163 1.24173i
\(697\) −8.48154 1.68708i −0.321261 0.0639028i
\(698\) 22.0766 0.535693i 0.835612 0.0202763i
\(699\) −1.89182 + 33.4364i −0.0715551 + 1.26468i
\(700\) −2.33758 + 0.584126i −0.0883522 + 0.0220779i
\(701\) 13.0733 1.28760i 0.493770 0.0486321i 0.151932 0.988391i \(-0.451450\pi\)
0.341838 + 0.939759i \(0.388950\pi\)
\(702\) 2.82377 + 1.00411i 0.106576 + 0.0378976i
\(703\) 50.7159 1.91279
\(704\) −6.09964 24.5279i −0.229889 0.924432i
\(705\) −24.2056 + 11.2290i −0.911636 + 0.422910i
\(706\) 0.618680 8.35498i 0.0232843 0.314444i
\(707\) 3.16972 + 32.1827i 0.119209 + 1.21035i
\(708\) 3.89578 36.5547i 0.146412 1.37381i
\(709\) 4.37240 + 2.33710i 0.164209 + 0.0877716i 0.551454 0.834205i \(-0.314073\pi\)
−0.387245 + 0.921977i \(0.626573\pi\)
\(710\) −3.36441 + 0.0816379i −0.126264 + 0.00306382i
\(711\) 24.3541 + 30.5917i 0.913351 + 1.14728i
\(712\) 1.25286 2.81994i 0.0469530 0.105682i
\(713\) 0.853683 0.169808i 0.0319707 0.00635936i
\(714\) −6.94858 + 52.9704i −0.260044 + 1.98237i
\(715\) 2.12598 1.74474i 0.0795070 0.0652497i
\(716\) 22.9904 8.21140i 0.859191 0.306874i
\(717\) 8.19241 + 6.17081i 0.305951 + 0.230453i
\(718\) −24.5742 6.80809i −0.917100 0.254075i
\(719\) 11.8689 + 4.91625i 0.442634 + 0.183345i 0.592858 0.805307i \(-0.297999\pi\)
−0.150224 + 0.988652i \(0.547999\pi\)
\(720\) 24.6262 7.04212i 0.917765 0.262444i
\(721\) −21.4730 + 8.89442i −0.799698 + 0.331246i
\(722\) 45.2377 5.56653i 1.68357 0.207165i
\(723\) 0.00944563 + 0.0671099i 0.000351287 + 0.00249584i
\(724\) −18.6693 + 11.1756i −0.693839 + 0.415337i
\(725\) −0.317280 + 3.22140i −0.0117835 + 0.119640i
\(726\) −2.16082 1.24621i −0.0801956 0.0462511i
\(727\) −19.0825 12.7505i −0.707729 0.472889i 0.148880 0.988855i \(-0.452433\pi\)
−0.856609 + 0.515966i \(0.827433\pi\)
\(728\) 2.36746 + 2.04570i 0.0877439 + 0.0758186i
\(729\) −26.9612 + 1.44604i −0.998565 + 0.0535571i
\(730\) 4.54999 + 10.2725i 0.168403 + 0.380201i
\(731\) 19.6962 + 64.9296i 0.728489 + 2.40151i
\(732\) 23.2050 12.1657i 0.857680 0.449657i
\(733\) 39.8168 + 32.6768i 1.47067 + 1.20694i 0.930976 + 0.365081i \(0.118959\pi\)
0.539690 + 0.841864i \(0.318541\pi\)
\(734\) 12.0767 23.9753i 0.445758 0.884945i
\(735\) −1.23968 0.453984i −0.0457261 0.0167454i
\(736\) 3.48103 + 0.609096i 0.128313 + 0.0224516i
\(737\) −8.43808 + 8.43808i −0.310821 + 0.310821i
\(738\) 1.70641 4.23166i 0.0628137 0.155770i
\(739\) −3.18495 2.61382i −0.117160 0.0961509i 0.573989 0.818863i \(-0.305395\pi\)
−0.691149 + 0.722712i \(0.742895\pi\)
\(740\) −28.4743 10.2065i −1.04674 0.375197i
\(741\) −3.36746 3.77138i −0.123707 0.138545i
\(742\) 16.4054 42.4936i 0.602262 1.55999i
\(743\) 11.1875 + 16.7433i 0.410430 + 0.614252i 0.977883 0.209154i \(-0.0670710\pi\)
−0.567453 + 0.823406i \(0.692071\pi\)
\(744\) 6.49870 2.08735i 0.238254 0.0765259i
\(745\) −10.3790 6.93503i −0.380257 0.254080i
\(746\) −6.41807 + 36.9262i −0.234982 + 1.35196i
\(747\) −0.549621 0.566208i −0.0201096 0.0207165i
\(748\) 40.7930 + 30.2900i 1.49154 + 1.10751i
\(749\) 14.2020 46.8178i 0.518930 1.71068i
\(750\) −27.7231 6.45050i −1.01230 0.235539i
\(751\) 29.8542 12.3660i 1.08940 0.451243i 0.235600 0.971850i \(-0.424295\pi\)
0.853796 + 0.520608i \(0.174295\pi\)
\(752\) −28.7348 + 2.79726i −1.04785 + 0.102005i
\(753\) −0.0178240 0.427644i −0.000649541 0.0155842i
\(754\) 3.65797 2.07085i 0.133215 0.0754157i
\(755\) −30.7838 + 16.4543i −1.12034 + 0.598832i
\(756\) −26.7802 8.79707i −0.973986 0.319946i
\(757\) −37.6060 + 30.8625i −1.36682 + 1.12172i −0.386940 + 0.922105i \(0.626468\pi\)
−0.979875 + 0.199611i \(0.936032\pi\)
\(758\) −9.68179 + 2.17124i −0.351658 + 0.0788629i
\(759\) −2.76087 + 2.01597i −0.100213 + 0.0731751i
\(760\) −42.1524 9.50327i −1.52903 0.344720i
\(761\) 22.7282 + 4.52091i 0.823895 + 0.163883i 0.588995 0.808137i \(-0.299524\pi\)
0.234900 + 0.972020i \(0.424524\pi\)
\(762\) 8.78443 + 2.97735i 0.318226 + 0.107858i
\(763\) −32.1399 17.1791i −1.16354 0.621926i
\(764\) 21.2158 + 3.15935i 0.767561 + 0.114301i
\(765\) −29.2390 + 42.3817i −1.05714 + 1.53231i
\(766\) 8.97818 7.74020i 0.324395 0.279665i
\(767\) 4.32805 0.156277
\(768\) 27.6649 + 1.62818i 0.998273 + 0.0587517i
\(769\) −35.5902 −1.28342 −0.641708 0.766949i \(-0.721774\pi\)
−0.641708 + 0.766949i \(0.721774\pi\)
\(770\) −19.5919 + 16.8904i −0.706042 + 0.608687i
\(771\) −6.06033 10.2836i −0.218258 0.370355i
\(772\) 51.6703 + 7.69449i 1.85966 + 0.276931i
\(773\) −3.71753 1.98706i −0.133710 0.0714696i 0.403185