Properties

Label 76.2.k.a.51.8
Level $76$
Weight $2$
Character 76.51
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 51.8
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.33647 + 0.462424i) q^{2} +(-0.855656 - 0.311433i) q^{3} +(1.57233 + 1.23604i) q^{4} +(-0.00805719 - 0.0456946i) q^{5} +(-0.999548 - 0.811899i) q^{6} +(-1.20959 - 0.698356i) q^{7} +(1.52980 + 2.37901i) q^{8} +(-1.66298 - 1.39540i) q^{9} +O(q^{10})\) \(q+(1.33647 + 0.462424i) q^{2} +(-0.855656 - 0.311433i) q^{3} +(1.57233 + 1.23604i) q^{4} +(-0.00805719 - 0.0456946i) q^{5} +(-0.999548 - 0.811899i) q^{6} +(-1.20959 - 0.698356i) q^{7} +(1.52980 + 2.37901i) q^{8} +(-1.66298 - 1.39540i) q^{9} +(0.0103621 - 0.0647955i) q^{10} +(-1.13484 + 0.655201i) q^{11} +(-0.960429 - 1.54730i) q^{12} +(-0.681875 - 1.87343i) q^{13} +(-1.29365 - 1.49268i) q^{14} +(-0.00733663 + 0.0416081i) q^{15} +(0.944429 + 3.88691i) q^{16} +(-0.910294 + 0.763828i) q^{17} +(-1.57726 - 2.63392i) q^{18} +(-4.35476 - 0.189811i) q^{19} +(0.0438116 - 0.0818058i) q^{20} +(0.817500 + 0.974258i) q^{21} +(-1.81967 + 0.350881i) q^{22} +(8.42847 + 1.48617i) q^{23} +(-0.568081 - 2.51205i) q^{24} +(4.69644 - 1.70936i) q^{25} +(-0.0449862 - 2.81911i) q^{26} +(2.35422 + 4.07762i) q^{27} +(-1.03868 - 2.59314i) q^{28} +(-3.45448 + 4.11689i) q^{29} +(-0.0290458 + 0.0522155i) q^{30} +(3.06782 - 5.31361i) q^{31} +(-0.535196 + 5.63148i) q^{32} +(1.17509 - 0.207199i) q^{33} +(-1.56980 + 0.599894i) q^{34} +(-0.0221652 + 0.0608984i) q^{35} +(-0.889975 - 4.24953i) q^{36} +4.41365i q^{37} +(-5.73226 - 2.26743i) q^{38} +1.81537i q^{39} +(0.0963821 - 0.0890718i) q^{40} +(-2.39968 + 6.59307i) q^{41} +(0.642047 + 1.68010i) q^{42} +(-0.406170 + 0.0716188i) q^{43} +(-2.59419 - 0.372514i) q^{44} +(-0.0503634 + 0.0872320i) q^{45} +(10.5772 + 5.88375i) q^{46} +(5.36271 - 6.39102i) q^{47} +(0.402407 - 3.61998i) q^{48} +(-2.52460 - 4.37273i) q^{49} +(7.06712 - 0.112774i) q^{50} +(1.01678 - 0.370078i) q^{51} +(1.24350 - 3.78848i) q^{52} +(5.17907 + 0.913210i) q^{53} +(1.26076 + 6.53828i) q^{54} +(0.0390828 + 0.0465770i) q^{55} +(-0.189033 - 3.94597i) q^{56} +(3.66707 + 1.51863i) q^{57} +(-6.52057 + 3.90468i) q^{58} +(-8.98054 + 7.53557i) q^{59} +(-0.0629647 + 0.0563533i) q^{60} +(2.12915 - 12.0750i) q^{61} +(6.55720 - 5.68288i) q^{62} +(1.03703 + 2.84921i) q^{63} +(-3.31941 + 7.27884i) q^{64} +(-0.0801118 + 0.0462526i) q^{65} +(1.66629 + 0.266471i) q^{66} +(-8.40871 - 7.05575i) q^{67} +(-2.37540 + 0.0758305i) q^{68} +(-6.74903 - 3.89655i) q^{69} +(-0.0577841 + 0.0711394i) q^{70} +(1.06152 + 6.02019i) q^{71} +(0.775657 - 6.09094i) q^{72} +(-6.09478 - 2.21832i) q^{73} +(-2.04098 + 5.89873i) q^{74} -4.55089 q^{75} +(-6.61250 - 5.68109i) q^{76} +1.83025 q^{77} +(-0.839473 + 2.42620i) q^{78} +(-10.3375 - 3.76254i) q^{79} +(0.170001 - 0.0744728i) q^{80} +(0.386407 + 2.19142i) q^{81} +(-6.25591 + 7.70180i) q^{82} +(-0.635962 - 0.367173i) q^{83} +(0.0811589 + 2.54231i) q^{84} +(0.0422372 + 0.0354412i) q^{85} +(-0.575954 - 0.0921063i) q^{86} +(4.23798 - 2.44680i) q^{87} +(-3.29481 - 1.69747i) q^{88} +(-4.73119 - 12.9988i) q^{89} +(-0.107648 + 0.0932941i) q^{90} +(-0.483537 + 2.74227i) q^{91} +(11.4154 + 12.7546i) q^{92} +(-4.27983 + 3.59121i) q^{93} +(10.1225 - 6.06159i) q^{94} +(0.0264138 + 0.200518i) q^{95} +(2.21177 - 4.65193i) q^{96} +(5.45960 + 6.50649i) q^{97} +(-1.35200 - 7.01148i) q^{98} +(2.80148 + 0.493977i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33647 + 0.462424i 0.945030 + 0.326983i
\(3\) −0.855656 0.311433i −0.494013 0.179806i 0.0829861 0.996551i \(-0.473554\pi\)
−0.576999 + 0.816745i \(0.695777\pi\)
\(4\) 1.57233 + 1.23604i 0.786164 + 0.618018i
\(5\) −0.00805719 0.0456946i −0.00360328 0.0204352i 0.982953 0.183856i \(-0.0588582\pi\)
−0.986556 + 0.163421i \(0.947747\pi\)
\(6\) −0.999548 0.811899i −0.408064 0.331456i
\(7\) −1.20959 0.698356i −0.457181 0.263954i 0.253677 0.967289i \(-0.418360\pi\)
−0.710858 + 0.703335i \(0.751693\pi\)
\(8\) 1.52980 + 2.37901i 0.540867 + 0.841108i
\(9\) −1.66298 1.39540i −0.554326 0.465134i
\(10\) 0.0103621 0.0647955i 0.00327677 0.0204901i
\(11\) −1.13484 + 0.655201i −0.342167 + 0.197550i −0.661230 0.750183i \(-0.729965\pi\)
0.319063 + 0.947734i \(0.396632\pi\)
\(12\) −0.960429 1.54730i −0.277252 0.446666i
\(13\) −0.681875 1.87343i −0.189118 0.519597i 0.808506 0.588488i \(-0.200276\pi\)
−0.997624 + 0.0688902i \(0.978054\pi\)
\(14\) −1.29365 1.49268i −0.345742 0.398935i
\(15\) −0.00733663 + 0.0416081i −0.00189431 + 0.0107432i
\(16\) 0.944429 + 3.88691i 0.236107 + 0.971727i
\(17\) −0.910294 + 0.763828i −0.220779 + 0.185255i −0.746468 0.665421i \(-0.768252\pi\)
0.525689 + 0.850677i \(0.323807\pi\)
\(18\) −1.57726 2.63392i −0.371763 0.620821i
\(19\) −4.35476 0.189811i −0.999051 0.0435456i
\(20\) 0.0438116 0.0818058i 0.00979658 0.0182923i
\(21\) 0.817500 + 0.974258i 0.178393 + 0.212601i
\(22\) −1.81967 + 0.350881i −0.387954 + 0.0748081i
\(23\) 8.42847 + 1.48617i 1.75746 + 0.309887i 0.957126 0.289672i \(-0.0935461\pi\)
0.800331 + 0.599559i \(0.204657\pi\)
\(24\) −0.568081 2.51205i −0.115959 0.512770i
\(25\) 4.69644 1.70936i 0.939288 0.341873i
\(26\) −0.0449862 2.81911i −0.00882252 0.552874i
\(27\) 2.35422 + 4.07762i 0.453069 + 0.784739i
\(28\) −1.03868 2.59314i −0.196291 0.490057i
\(29\) −3.45448 + 4.11689i −0.641480 + 0.764487i −0.984603 0.174804i \(-0.944071\pi\)
0.343123 + 0.939291i \(0.388515\pi\)
\(30\) −0.0290458 + 0.0522155i −0.00530302 + 0.00953321i
\(31\) 3.06782 5.31361i 0.550996 0.954353i −0.447207 0.894431i \(-0.647581\pi\)
0.998203 0.0599227i \(-0.0190854\pi\)
\(32\) −0.535196 + 5.63148i −0.0946101 + 0.995514i
\(33\) 1.17509 0.207199i 0.204556 0.0360688i
\(34\) −1.56980 + 0.599894i −0.269218 + 0.102881i
\(35\) −0.0221652 + 0.0608984i −0.00374660 + 0.0102937i
\(36\) −0.889975 4.24953i −0.148329 0.708255i
\(37\) 4.41365i 0.725599i 0.931867 + 0.362800i \(0.118179\pi\)
−0.931867 + 0.362800i \(0.881821\pi\)
\(38\) −5.73226 2.26743i −0.929895 0.367825i
\(39\) 1.81537i 0.290693i
\(40\) 0.0963821 0.0890718i 0.0152393 0.0140835i
\(41\) −2.39968 + 6.59307i −0.374767 + 1.02966i 0.598727 + 0.800953i \(0.295673\pi\)
−0.973494 + 0.228712i \(0.926549\pi\)
\(42\) 0.642047 + 1.68010i 0.0990700 + 0.259246i
\(43\) −0.406170 + 0.0716188i −0.0619404 + 0.0109218i −0.204532 0.978860i \(-0.565567\pi\)
0.142592 + 0.989782i \(0.454456\pi\)
\(44\) −2.59419 0.372514i −0.391089 0.0561587i
\(45\) −0.0503634 + 0.0872320i −0.00750774 + 0.0130038i
\(46\) 10.5772 + 5.88375i 1.55952 + 0.867512i
\(47\) 5.36271 6.39102i 0.782231 0.932227i −0.216801 0.976216i \(-0.569562\pi\)
0.999032 + 0.0439892i \(0.0140067\pi\)
\(48\) 0.402407 3.61998i 0.0580824 0.522500i
\(49\) −2.52460 4.37273i −0.360657 0.624676i
\(50\) 7.06712 0.112774i 0.999442 0.0159487i
\(51\) 1.01678 0.370078i 0.142378 0.0518213i
\(52\) 1.24350 3.78848i 0.172443 0.525367i
\(53\) 5.17907 + 0.913210i 0.711400 + 0.125439i 0.517626 0.855607i \(-0.326816\pi\)
0.193774 + 0.981046i \(0.437927\pi\)
\(54\) 1.26076 + 6.53828i 0.171568 + 0.889748i
\(55\) 0.0390828 + 0.0465770i 0.00526992 + 0.00628044i
\(56\) −0.189033 3.94597i −0.0252606 0.527303i
\(57\) 3.66707 + 1.51863i 0.485715 + 0.201148i
\(58\) −6.52057 + 3.90468i −0.856193 + 0.512709i
\(59\) −8.98054 + 7.53557i −1.16917 + 0.981048i −0.999990 0.00453778i \(-0.998556\pi\)
−0.169178 + 0.985586i \(0.554111\pi\)
\(60\) −0.0629647 + 0.0563533i −0.00812871 + 0.00727517i
\(61\) 2.12915 12.0750i 0.272610 1.54605i −0.473841 0.880610i \(-0.657133\pi\)
0.746452 0.665440i \(-0.231756\pi\)
\(62\) 6.55720 5.68288i 0.832765 0.721726i
\(63\) 1.03703 + 2.84921i 0.130653 + 0.358967i
\(64\) −3.31941 + 7.27884i −0.414926 + 0.909855i
\(65\) −0.0801118 + 0.0462526i −0.00993665 + 0.00573693i
\(66\) 1.66629 + 0.266471i 0.205106 + 0.0328004i
\(67\) −8.40871 7.05575i −1.02729 0.861997i −0.0367622 0.999324i \(-0.511704\pi\)
−0.990526 + 0.137327i \(0.956149\pi\)
\(68\) −2.37540 + 0.0758305i −0.288060 + 0.00919580i
\(69\) −6.74903 3.89655i −0.812487 0.469090i
\(70\) −0.0577841 + 0.0711394i −0.00690652 + 0.00850279i
\(71\) 1.06152 + 6.02019i 0.125979 + 0.714465i 0.980721 + 0.195412i \(0.0626043\pi\)
−0.854742 + 0.519053i \(0.826285\pi\)
\(72\) 0.775657 6.09094i 0.0914120 0.717824i
\(73\) −6.09478 2.21832i −0.713341 0.259635i −0.0402446 0.999190i \(-0.512814\pi\)
−0.673096 + 0.739555i \(0.735036\pi\)
\(74\) −2.04098 + 5.89873i −0.237259 + 0.685713i
\(75\) −4.55089 −0.525492
\(76\) −6.61250 5.68109i −0.758506 0.651666i
\(77\) 1.83025 0.208577
\(78\) −0.839473 + 2.42620i −0.0950516 + 0.274713i
\(79\) −10.3375 3.76254i −1.16306 0.423319i −0.312870 0.949796i \(-0.601290\pi\)
−0.850189 + 0.526477i \(0.823512\pi\)
\(80\) 0.170001 0.0744728i 0.0190067 0.00832631i
\(81\) 0.386407 + 2.19142i 0.0429341 + 0.243491i
\(82\) −6.25591 + 7.70180i −0.690850 + 0.850522i
\(83\) −0.635962 0.367173i −0.0698060 0.0403025i 0.464691 0.885473i \(-0.346165\pi\)
−0.534497 + 0.845171i \(0.679499\pi\)
\(84\) 0.0811589 + 2.54231i 0.00885516 + 0.277389i
\(85\) 0.0422372 + 0.0354412i 0.00458127 + 0.00384414i
\(86\) −0.575954 0.0921063i −0.0621067 0.00993208i
\(87\) 4.23798 2.44680i 0.454359 0.262324i
\(88\) −3.29481 1.69747i −0.351228 0.180951i
\(89\) −4.73119 12.9988i −0.501506 1.37788i −0.889805 0.456342i \(-0.849159\pi\)
0.388299 0.921533i \(-0.373063\pi\)
\(90\) −0.107648 + 0.0932941i −0.0113471 + 0.00983406i
\(91\) −0.483537 + 2.74227i −0.0506885 + 0.287469i
\(92\) 11.4154 + 12.7546i 1.19013 + 1.32976i
\(93\) −4.27983 + 3.59121i −0.443798 + 0.372391i
\(94\) 10.1225 6.06159i 1.04405 0.625206i
\(95\) 0.0264138 + 0.200518i 0.00271000 + 0.0205728i
\(96\) 2.21177 4.65193i 0.225738 0.474786i
\(97\) 5.45960 + 6.50649i 0.554338 + 0.660634i 0.968338 0.249642i \(-0.0803131\pi\)
−0.414000 + 0.910277i \(0.635869\pi\)
\(98\) −1.35200 7.01148i −0.136573 0.708266i
\(99\) 2.80148 + 0.493977i 0.281560 + 0.0496466i
\(100\) 9.49718 + 3.11729i 0.949718 + 0.311729i
\(101\) 9.90522 3.60521i 0.985606 0.358731i 0.201589 0.979470i \(-0.435389\pi\)
0.784017 + 0.620739i \(0.213167\pi\)
\(102\) 1.53003 0.0244156i 0.151496 0.00241751i
\(103\) 0.289877 + 0.502082i 0.0285624 + 0.0494716i 0.879953 0.475060i \(-0.157574\pi\)
−0.851391 + 0.524532i \(0.824240\pi\)
\(104\) 3.41379 4.48817i 0.334750 0.440102i
\(105\) 0.0379316 0.0452051i 0.00370174 0.00441157i
\(106\) 6.49940 + 3.61541i 0.631278 + 0.351160i
\(107\) 0.422452 0.731708i 0.0408400 0.0707369i −0.844883 0.534951i \(-0.820330\pi\)
0.885723 + 0.464214i \(0.153663\pi\)
\(108\) −1.33849 + 9.32126i −0.128796 + 0.896938i
\(109\) 7.99713 1.41011i 0.765986 0.135064i 0.223014 0.974815i \(-0.428410\pi\)
0.542971 + 0.839751i \(0.317299\pi\)
\(110\) 0.0306948 + 0.0803218i 0.00292663 + 0.00765838i
\(111\) 1.37456 3.77656i 0.130467 0.358456i
\(112\) 1.57208 5.36110i 0.148547 0.506577i
\(113\) 14.2204i 1.33774i 0.743378 + 0.668872i \(0.233223\pi\)
−0.743378 + 0.668872i \(0.766777\pi\)
\(114\) 4.19869 + 3.72535i 0.393243 + 0.348911i
\(115\) 0.397110i 0.0370307i
\(116\) −10.5202 + 2.20323i −0.976775 + 0.204565i
\(117\) −1.48026 + 4.06697i −0.136850 + 0.375991i
\(118\) −15.4869 + 5.91828i −1.42568 + 0.544822i
\(119\) 1.63450 0.288207i 0.149835 0.0264199i
\(120\) −0.110210 + 0.0461983i −0.0100607 + 0.00421730i
\(121\) −4.64142 + 8.03918i −0.421948 + 0.730835i
\(122\) 8.42935 15.1534i 0.763157 1.37192i
\(123\) 4.10660 4.89406i 0.370280 0.441283i
\(124\) 11.3914 4.56281i 1.02298 0.409752i
\(125\) −0.231948 0.401745i −0.0207460 0.0359332i
\(126\) 0.0684172 + 4.28745i 0.00609509 + 0.381956i
\(127\) 12.3119 4.48118i 1.09251 0.397641i 0.267959 0.963430i \(-0.413651\pi\)
0.824550 + 0.565790i \(0.191429\pi\)
\(128\) −7.80222 + 8.19301i −0.689625 + 0.724167i
\(129\) 0.369846 + 0.0652139i 0.0325632 + 0.00574176i
\(130\) −0.128456 + 0.0247697i −0.0112663 + 0.00217245i
\(131\) −0.872574 1.03989i −0.0762372 0.0908559i 0.726578 0.687084i \(-0.241110\pi\)
−0.802815 + 0.596228i \(0.796665\pi\)
\(132\) 2.10372 + 1.12666i 0.183106 + 0.0980634i
\(133\) 5.13491 + 3.27077i 0.445253 + 0.283612i
\(134\) −7.97528 13.3182i −0.688959 1.15052i
\(135\) 0.167357 0.140429i 0.0144038 0.0120862i
\(136\) −3.20973 0.997097i −0.275232 0.0855004i
\(137\) 1.33938 7.59599i 0.114431 0.648969i −0.872600 0.488436i \(-0.837568\pi\)
0.987030 0.160533i \(-0.0513213\pi\)
\(138\) −7.21804 8.32856i −0.614440 0.708974i
\(139\) 5.84051 + 16.0467i 0.495386 + 1.36106i 0.895690 + 0.444679i \(0.146682\pi\)
−0.400304 + 0.916382i \(0.631096\pi\)
\(140\) −0.110124 + 0.0683552i −0.00930714 + 0.00577707i
\(141\) −6.57901 + 3.79839i −0.554053 + 0.319882i
\(142\) −1.36518 + 8.53670i −0.114564 + 0.716384i
\(143\) 2.00130 + 1.67929i 0.167357 + 0.140429i
\(144\) 3.85324 7.78170i 0.321103 0.648475i
\(145\) 0.215953 + 0.124680i 0.0179339 + 0.0103541i
\(146\) −7.11972 5.78310i −0.589232 0.478613i
\(147\) 0.798373 + 4.52780i 0.0658487 + 0.373447i
\(148\) −5.45543 + 6.93970i −0.448433 + 0.570440i
\(149\) −12.5718 4.57575i −1.02992 0.374860i −0.228870 0.973457i \(-0.573503\pi\)
−0.801051 + 0.598597i \(0.795725\pi\)
\(150\) −6.08215 2.10444i −0.496605 0.171827i
\(151\) 0.552457 0.0449583 0.0224792 0.999747i \(-0.492844\pi\)
0.0224792 + 0.999747i \(0.492844\pi\)
\(152\) −6.21037 10.6504i −0.503727 0.863863i
\(153\) 2.57965 0.208552
\(154\) 2.44609 + 0.846353i 0.197111 + 0.0682011i
\(155\) −0.267521 0.0973698i −0.0214878 0.00782093i
\(156\) −2.24387 + 2.85436i −0.179653 + 0.228532i
\(157\) 1.20691 + 6.84471i 0.0963216 + 0.546267i 0.994334 + 0.106298i \(0.0338996\pi\)
−0.898013 + 0.439970i \(0.854989\pi\)
\(158\) −12.0759 9.80884i −0.960707 0.780350i
\(159\) −4.14710 2.39433i −0.328886 0.189883i
\(160\) 0.261640 0.0209183i 0.0206845 0.00165374i
\(161\) −9.15710 7.68372i −0.721680 0.605562i
\(162\) −0.496944 + 3.10746i −0.0390436 + 0.244145i
\(163\) 14.1181 8.15109i 1.10582 0.638443i 0.168073 0.985775i \(-0.446245\pi\)
0.937742 + 0.347332i \(0.112912\pi\)
\(164\) −11.9224 + 7.40038i −0.930980 + 0.577872i
\(165\) −0.0189358 0.0520256i −0.00147415 0.00405019i
\(166\) −0.680158 0.784802i −0.0527905 0.0609124i
\(167\) −2.56785 + 14.5630i −0.198706 + 1.12692i 0.708335 + 0.705876i \(0.249447\pi\)
−0.907041 + 0.421042i \(0.861664\pi\)
\(168\) −1.06716 + 3.43527i −0.0823332 + 0.265037i
\(169\) 6.91377 5.80134i 0.531829 0.446257i
\(170\) 0.0400601 + 0.0668978i 0.00307247 + 0.00513083i
\(171\) 6.97701 + 6.39230i 0.533545 + 0.488832i
\(172\) −0.727156 0.389433i −0.0554451 0.0296940i
\(173\) −1.26345 1.50572i −0.0960586 0.114478i 0.715874 0.698230i \(-0.246029\pi\)
−0.811932 + 0.583752i \(0.801584\pi\)
\(174\) 6.79541 1.31034i 0.515159 0.0993366i
\(175\) −6.87450 1.21216i −0.519663 0.0916307i
\(176\) −3.61848 3.79223i −0.272753 0.285850i
\(177\) 10.0311 3.65102i 0.753983 0.274427i
\(178\) −0.312137 19.5604i −0.0233957 1.46612i
\(179\) −11.4727 19.8714i −0.857512 1.48526i −0.874294 0.485396i \(-0.838675\pi\)
0.0167821 0.999859i \(-0.494658\pi\)
\(180\) −0.187010 + 0.0749063i −0.0139389 + 0.00558319i
\(181\) −13.8104 + 16.4586i −1.02652 + 1.22336i −0.0520937 + 0.998642i \(0.516589\pi\)
−0.974425 + 0.224715i \(0.927855\pi\)
\(182\) −1.91433 + 3.44138i −0.141900 + 0.255092i
\(183\) −5.58239 + 9.66899i −0.412662 + 0.714752i
\(184\) 9.35828 + 22.3250i 0.689902 + 1.64582i
\(185\) 0.201680 0.0355616i 0.0148278 0.00261454i
\(186\) −7.38055 + 2.82046i −0.541168 + 0.206806i
\(187\) 0.532579 1.46325i 0.0389460 0.107003i
\(188\) 16.3315 3.42028i 1.19109 0.249450i
\(189\) 6.57632i 0.478357i
\(190\) −0.0574232 + 0.280202i −0.00416592 + 0.0203280i
\(191\) 7.68079i 0.555762i −0.960615 0.277881i \(-0.910368\pi\)
0.960615 0.277881i \(-0.0896321\pi\)
\(192\) 5.10715 5.19441i 0.368576 0.374874i
\(193\) 1.33031 3.65500i 0.0957578 0.263093i −0.882561 0.470199i \(-0.844182\pi\)
0.978318 + 0.207106i \(0.0664045\pi\)
\(194\) 4.28785 + 11.2204i 0.307850 + 0.805579i
\(195\) 0.0829528 0.0146268i 0.00594037 0.00104745i
\(196\) 1.43536 9.99586i 0.102526 0.713990i
\(197\) 5.83464 10.1059i 0.415701 0.720015i −0.579801 0.814758i \(-0.696870\pi\)
0.995502 + 0.0947432i \(0.0302030\pi\)
\(198\) 3.51568 + 1.95566i 0.249849 + 0.138983i
\(199\) −13.9328 + 16.6044i −0.987668 + 1.17706i −0.00346853 + 0.999994i \(0.501104\pi\)
−0.984200 + 0.177063i \(0.943340\pi\)
\(200\) 11.2512 + 8.55790i 0.795582 + 0.605135i
\(201\) 4.99757 + 8.65605i 0.352502 + 0.610551i
\(202\) 14.9052 0.237851i 1.04873 0.0167351i
\(203\) 7.05354 2.56728i 0.495062 0.180188i
\(204\) 2.05614 + 0.674894i 0.143959 + 0.0472520i
\(205\) 0.320602 + 0.0565308i 0.0223918 + 0.00394828i
\(206\) 0.155238 + 0.805066i 0.0108160 + 0.0560916i
\(207\) −11.9425 14.2326i −0.830064 0.989232i
\(208\) 6.63789 4.41971i 0.460255 0.306452i
\(209\) 5.06633 2.63784i 0.350445 0.182463i
\(210\) 0.0715985 0.0428750i 0.00494077 0.00295865i
\(211\) 8.82488 7.40495i 0.607530 0.509778i −0.286326 0.958132i \(-0.592434\pi\)
0.893856 + 0.448354i \(0.147990\pi\)
\(212\) 7.01443 + 7.83738i 0.481753 + 0.538274i
\(213\) 0.966590 5.48181i 0.0662297 0.375607i
\(214\) 0.902956 0.782557i 0.0617248 0.0534945i
\(215\) 0.00654518 + 0.0179827i 0.000446377 + 0.00122641i
\(216\) −6.09923 + 11.8387i −0.415000 + 0.805519i
\(217\) −7.42159 + 4.28485i −0.503810 + 0.290875i
\(218\) 11.3400 + 1.81349i 0.768043 + 0.122825i
\(219\) 4.52418 + 3.79624i 0.305716 + 0.256526i
\(220\) 0.00388002 + 0.121542i 0.000261591 + 0.00819436i
\(221\) 2.05169 + 1.18454i 0.138011 + 0.0796810i
\(222\) 3.58343 4.41165i 0.240504 0.296091i
\(223\) −0.353870 2.00689i −0.0236969 0.134392i 0.970664 0.240439i \(-0.0772915\pi\)
−0.994361 + 0.106048i \(0.966180\pi\)
\(224\) 4.58014 6.43801i 0.306024 0.430158i
\(225\) −10.1953 3.71079i −0.679688 0.247386i
\(226\) −6.57586 + 19.0052i −0.437420 + 1.26421i
\(227\) −12.3915 −0.822456 −0.411228 0.911533i \(-0.634900\pi\)
−0.411228 + 0.911533i \(0.634900\pi\)
\(228\) 3.88875 + 6.92041i 0.257539 + 0.458316i
\(229\) 9.29197 0.614031 0.307015 0.951705i \(-0.400670\pi\)
0.307015 + 0.951705i \(0.400670\pi\)
\(230\) 0.183633 0.530727i 0.0121084 0.0349951i
\(231\) −1.56607 0.570002i −0.103040 0.0375034i
\(232\) −15.0788 1.92023i −0.989971 0.126069i
\(233\) 1.38093 + 7.83166i 0.0904679 + 0.513069i 0.996042 + 0.0888814i \(0.0283292\pi\)
−0.905574 + 0.424188i \(0.860560\pi\)
\(234\) −3.85899 + 4.75089i −0.252270 + 0.310576i
\(235\) −0.335243 0.193553i −0.0218689 0.0126260i
\(236\) −23.4346 + 0.748109i −1.52546 + 0.0486977i
\(237\) 7.67356 + 6.43888i 0.498451 + 0.418250i
\(238\) 2.31775 + 0.370653i 0.150237 + 0.0240259i
\(239\) −18.1412 + 10.4738i −1.17346 + 0.677496i −0.954492 0.298236i \(-0.903602\pi\)
−0.218966 + 0.975732i \(0.570268\pi\)
\(240\) −0.168656 + 0.0107791i −0.0108867 + 0.000695786i
\(241\) −3.23683 8.89311i −0.208502 0.572856i 0.790724 0.612172i \(-0.209704\pi\)
−0.999227 + 0.0393166i \(0.987482\pi\)
\(242\) −9.92066 + 8.59785i −0.637724 + 0.552691i
\(243\) 2.80468 15.9061i 0.179920 1.02038i
\(244\) 18.2729 16.3542i 1.16980 1.04697i
\(245\) −0.179469 + 0.150592i −0.0114659 + 0.00962099i
\(246\) 7.75150 4.64179i 0.494218 0.295950i
\(247\) 2.61380 + 8.28779i 0.166312 + 0.527340i
\(248\) 17.3343 0.830404i 1.10073 0.0527307i
\(249\) 0.429815 + 0.512234i 0.0272384 + 0.0324615i
\(250\) −0.124215 0.644180i −0.00785607 0.0407415i
\(251\) 5.25705 + 0.926959i 0.331822 + 0.0585091i 0.337077 0.941477i \(-0.390562\pi\)
−0.00525525 + 0.999986i \(0.501673\pi\)
\(252\) −1.89118 + 5.76170i −0.119133 + 0.362953i
\(253\) −10.5387 + 3.83578i −0.662563 + 0.241153i
\(254\) 18.5268 0.295643i 1.16248 0.0185503i
\(255\) −0.0251029 0.0434796i −0.00157201 0.00272280i
\(256\) −14.2161 + 7.34181i −0.888507 + 0.458863i
\(257\) 8.86041 10.5594i 0.552697 0.658679i −0.415287 0.909691i \(-0.636319\pi\)
0.967984 + 0.251011i \(0.0807632\pi\)
\(258\) 0.464134 + 0.258183i 0.0288957 + 0.0160738i
\(259\) 3.08230 5.33869i 0.191525 0.331730i
\(260\) −0.183132 0.0262969i −0.0113574 0.00163086i
\(261\) 11.4894 2.02590i 0.711178 0.125400i
\(262\) −0.685301 1.79329i −0.0423380 0.110790i
\(263\) 4.72312 12.9767i 0.291240 0.800175i −0.704646 0.709559i \(-0.748894\pi\)
0.995886 0.0906161i \(-0.0288836\pi\)
\(264\) 2.29058 + 2.47857i 0.140975 + 0.152545i
\(265\) 0.244013i 0.0149896i
\(266\) 5.35020 + 6.74581i 0.328042 + 0.413612i
\(267\) 12.5960i 0.770862i
\(268\) −4.50009 21.4874i −0.274887 1.31255i
\(269\) 0.0765103 0.210210i 0.00466491 0.0128167i −0.937338 0.348421i \(-0.886718\pi\)
0.942003 + 0.335604i \(0.108940\pi\)
\(270\) 0.288606 0.110290i 0.0175640 0.00671204i
\(271\) −14.0034 + 2.46917i −0.850644 + 0.149992i −0.581941 0.813231i \(-0.697706\pi\)
−0.268704 + 0.963223i \(0.586595\pi\)
\(272\) −3.82864 2.81685i −0.232145 0.170797i
\(273\) 1.26778 2.19585i 0.0767294 0.132899i
\(274\) 5.30261 9.53248i 0.320343 0.575878i
\(275\) −4.20974 + 5.01697i −0.253857 + 0.302535i
\(276\) −5.79540 14.4687i −0.348842 0.870913i
\(277\) −10.5953 18.3516i −0.636609 1.10264i −0.986172 0.165726i \(-0.947003\pi\)
0.349563 0.936913i \(-0.386330\pi\)
\(278\) 0.385324 + 24.1468i 0.0231102 + 1.44823i
\(279\) −12.5163 + 4.55558i −0.749334 + 0.272735i
\(280\) −0.178786 + 0.0404312i −0.0106845 + 0.00241623i
\(281\) 7.25757 + 1.27971i 0.432950 + 0.0763408i 0.385876 0.922551i \(-0.373899\pi\)
0.0470741 + 0.998891i \(0.485010\pi\)
\(282\) −10.5491 + 2.03416i −0.628193 + 0.121133i
\(283\) 15.7071 + 18.7190i 0.933691 + 1.11273i 0.993422 + 0.114515i \(0.0365313\pi\)
−0.0597309 + 0.998215i \(0.519024\pi\)
\(284\) −5.77211 + 10.7778i −0.342512 + 0.639544i
\(285\) 0.0398470 0.179801i 0.00236033 0.0106505i
\(286\) 1.89814 + 3.16977i 0.112239 + 0.187432i
\(287\) 7.50694 6.29907i 0.443120 0.371822i
\(288\) 8.74820 8.61821i 0.515493 0.507833i
\(289\) −2.70682 + 15.3511i −0.159224 + 0.903007i
\(290\) 0.230960 + 0.266494i 0.0135624 + 0.0156491i
\(291\) −2.64520 7.26762i −0.155064 0.426036i
\(292\) −6.84107 11.0213i −0.400344 0.644973i
\(293\) −11.5307 + 6.65724i −0.673630 + 0.388920i −0.797451 0.603384i \(-0.793819\pi\)
0.123821 + 0.992305i \(0.460485\pi\)
\(294\) −1.02676 + 6.42047i −0.0598818 + 0.374450i
\(295\) 0.416693 + 0.349647i 0.0242608 + 0.0203572i
\(296\) −10.5001 + 6.75201i −0.610307 + 0.392453i
\(297\) −5.34332 3.08497i −0.310051 0.179008i
\(298\) −14.6859 11.9289i −0.850733 0.691021i
\(299\) −2.96292 16.8036i −0.171350 0.971775i
\(300\) −7.15549 5.62507i −0.413122 0.324763i
\(301\) 0.541314 + 0.197022i 0.0312008 + 0.0113562i
\(302\) 0.738345 + 0.255470i 0.0424870 + 0.0147006i
\(303\) −9.59824 −0.551405
\(304\) −3.37499 17.1058i −0.193569 0.981087i
\(305\) −0.568919 −0.0325762
\(306\) 3.44763 + 1.19289i 0.197088 + 0.0681930i
\(307\) 26.7916 + 9.75134i 1.52908 + 0.556538i 0.963395 0.268086i \(-0.0863910\pi\)
0.565681 + 0.824624i \(0.308613\pi\)
\(308\) 2.87776 + 2.26226i 0.163975 + 0.128904i
\(309\) −0.0916701 0.519887i −0.00521493 0.0295753i
\(310\) −0.312509 0.253841i −0.0177493 0.0144172i
\(311\) 22.6396 + 13.0710i 1.28377 + 0.741188i 0.977536 0.210767i \(-0.0675961\pi\)
0.306239 + 0.951955i \(0.400929\pi\)
\(312\) −4.31880 + 2.77716i −0.244504 + 0.157226i
\(313\) −2.72269 2.28461i −0.153895 0.129134i 0.562589 0.826737i \(-0.309805\pi\)
−0.716484 + 0.697603i \(0.754250\pi\)
\(314\) −1.55216 + 9.70588i −0.0875934 + 0.547735i
\(315\) 0.121838 0.0703432i 0.00686479 0.00396339i
\(316\) −11.6033 18.6935i −0.652736 1.05159i
\(317\) 4.75523 + 13.0649i 0.267080 + 0.733798i 0.998646 + 0.0520261i \(0.0165679\pi\)
−0.731565 + 0.681771i \(0.761210\pi\)
\(318\) −4.43530 5.11768i −0.248719 0.286985i
\(319\) 1.22290 6.93539i 0.0684690 0.388307i
\(320\) 0.359349 + 0.0930320i 0.0200882 + 0.00520065i
\(321\) −0.589352 + 0.494525i −0.0328944 + 0.0276017i
\(322\) −8.68509 14.5036i −0.484001 0.808251i
\(323\) 4.10910 3.15351i 0.228636 0.175466i
\(324\) −2.10112 + 3.92325i −0.116729 + 0.217958i
\(325\) −6.40477 7.63290i −0.355272 0.423397i
\(326\) 22.6378 4.36517i 1.25379 0.241765i
\(327\) −7.28194 1.28400i −0.402692 0.0710055i
\(328\) −19.3560 + 4.37722i −1.06876 + 0.241692i
\(329\) −10.9499 + 3.98543i −0.603686 + 0.219724i
\(330\) −0.00124927 0.0782872i −6.87702e−5 0.00430957i
\(331\) 3.55440 + 6.15641i 0.195368 + 0.338387i 0.947021 0.321172i \(-0.104077\pi\)
−0.751653 + 0.659558i \(0.770743\pi\)
\(332\) −0.546102 1.36339i −0.0299712 0.0748257i
\(333\) 6.15882 7.33979i 0.337501 0.402218i
\(334\) −10.1661 + 18.2756i −0.556267 + 0.999998i
\(335\) −0.254659 + 0.441082i −0.0139135 + 0.0240989i
\(336\) −3.01478 + 4.09766i −0.164470 + 0.223546i
\(337\) −29.9028 + 5.27267i −1.62891 + 0.287220i −0.912075 0.410024i \(-0.865520\pi\)
−0.716833 + 0.697245i \(0.754409\pi\)
\(338\) 11.9228 4.55625i 0.648513 0.247827i
\(339\) 4.42871 12.1678i 0.240535 0.660863i
\(340\) 0.0226041 + 0.107932i 0.00122588 + 0.00585343i
\(341\) 8.04014i 0.435398i
\(342\) 6.36864 + 11.7695i 0.344376 + 0.636421i
\(343\) 16.8293i 0.908694i
\(344\) −0.791742 0.856722i −0.0426879 0.0461913i
\(345\) −0.123673 + 0.339789i −0.00665834 + 0.0182936i
\(346\) −0.992289 2.59661i −0.0533458 0.139595i
\(347\) −0.491581 + 0.0866790i −0.0263895 + 0.00465317i −0.186827 0.982393i \(-0.559820\pi\)
0.160438 + 0.987046i \(0.448709\pi\)
\(348\) 9.68783 + 1.39113i 0.519322 + 0.0745723i
\(349\) −1.36569 + 2.36545i −0.0731040 + 0.126620i −0.900260 0.435352i \(-0.856624\pi\)
0.827156 + 0.561972i \(0.189957\pi\)
\(350\) −8.62706 4.79896i −0.461136 0.256515i
\(351\) 6.03388 7.19090i 0.322065 0.383822i
\(352\) −3.08239 6.74150i −0.164292 0.359323i
\(353\) 12.5409 + 21.7215i 0.667484 + 1.15612i 0.978605 + 0.205747i \(0.0659623\pi\)
−0.311121 + 0.950370i \(0.600704\pi\)
\(354\) 15.0946 0.240873i 0.802269 0.0128023i
\(355\) 0.266537 0.0970116i 0.0141463 0.00514884i
\(356\) 8.62806 26.2864i 0.457286 1.39318i
\(357\) −1.48833 0.262433i −0.0787708 0.0138894i
\(358\) −6.14402 31.8628i −0.324721 1.68400i
\(359\) 5.00752 + 5.96773i 0.264287 + 0.314965i 0.881826 0.471576i \(-0.156315\pi\)
−0.617539 + 0.786540i \(0.711870\pi\)
\(360\) −0.284572 + 0.0136325i −0.0149983 + 0.000718496i
\(361\) 18.9279 + 1.65316i 0.996208 + 0.0870087i
\(362\) −26.0681 + 15.6102i −1.37011 + 0.820455i
\(363\) 6.47513 5.43328i 0.339856 0.285173i
\(364\) −4.14983 + 3.71409i −0.217510 + 0.194671i
\(365\) −0.0522584 + 0.296372i −0.00273533 + 0.0155128i
\(366\) −11.9319 + 10.3409i −0.623690 + 0.540529i
\(367\) −2.87685 7.90408i −0.150170 0.412590i 0.841683 0.539971i \(-0.181565\pi\)
−0.991854 + 0.127382i \(0.959343\pi\)
\(368\) 2.18349 + 34.1643i 0.113823 + 1.78093i
\(369\) 13.1906 7.61560i 0.686676 0.396452i
\(370\) 0.285984 + 0.0457345i 0.0148676 + 0.00237762i
\(371\) −5.62679 4.72144i −0.292129 0.245125i
\(372\) −11.1682 + 0.356524i −0.579042 + 0.0184849i
\(373\) 17.6598 + 10.1959i 0.914391 + 0.527924i 0.881841 0.471546i \(-0.156304\pi\)
0.0325499 + 0.999470i \(0.489637\pi\)
\(374\) 1.38842 1.70932i 0.0717935 0.0883867i
\(375\) 0.0733505 + 0.415992i 0.00378781 + 0.0214817i
\(376\) 23.4082 + 2.98094i 1.20719 + 0.153730i
\(377\) 10.0682 + 3.66454i 0.518541 + 0.188733i
\(378\) 3.04105 8.78909i 0.156415 0.452062i
\(379\) 17.8645 0.917638 0.458819 0.888530i \(-0.348273\pi\)
0.458819 + 0.888530i \(0.348273\pi\)
\(380\) −0.206317 + 0.347929i −0.0105838 + 0.0178484i
\(381\) −11.9304 −0.611212
\(382\) 3.55178 10.2652i 0.181725 0.525212i
\(383\) 11.4496 + 4.16732i 0.585047 + 0.212940i 0.617550 0.786532i \(-0.288125\pi\)
−0.0325023 + 0.999472i \(0.510348\pi\)
\(384\) 9.22759 4.58053i 0.470894 0.233749i
\(385\) −0.0147467 0.0836327i −0.000751561 0.00426231i
\(386\) 3.46809 4.26964i 0.176521 0.217319i
\(387\) 0.775389 + 0.447671i 0.0394152 + 0.0227564i
\(388\) 0.542012 + 16.9786i 0.0275165 + 0.861958i
\(389\) 15.3327 + 12.8656i 0.777398 + 0.652314i 0.942592 0.333947i \(-0.108381\pi\)
−0.165194 + 0.986261i \(0.552825\pi\)
\(390\) 0.117628 + 0.0188110i 0.00595633 + 0.000952533i
\(391\) −8.80756 + 5.08505i −0.445418 + 0.257162i
\(392\) 6.54065 12.6955i 0.330353 0.641218i
\(393\) 0.422766 + 1.16154i 0.0213257 + 0.0585919i
\(394\) 12.4711 10.8082i 0.628283 0.544509i
\(395\) −0.0886365 + 0.502683i −0.00445979 + 0.0252927i
\(396\) 3.79428 + 4.23943i 0.190670 + 0.213039i
\(397\) 3.50279 2.93919i 0.175800 0.147514i −0.550642 0.834742i \(-0.685617\pi\)
0.726442 + 0.687228i \(0.241173\pi\)
\(398\) −26.2991 + 15.7485i −1.31825 + 0.789403i
\(399\) −3.37509 4.39784i −0.168966 0.220167i
\(400\) 11.0796 + 16.6403i 0.553980 + 0.832013i
\(401\) −5.17049 6.16195i −0.258202 0.307713i 0.621334 0.783546i \(-0.286591\pi\)
−0.879536 + 0.475833i \(0.842147\pi\)
\(402\) 2.67636 + 13.8796i 0.133485 + 0.692251i
\(403\) −12.0466 2.12414i −0.600083 0.105811i
\(404\) 20.0304 + 6.57465i 0.996551 + 0.327101i
\(405\) 0.0970227 0.0353134i 0.00482110 0.00175474i
\(406\) 10.6141 0.169375i 0.526767 0.00840592i
\(407\) −2.89183 5.00879i −0.143342 0.248276i
\(408\) 2.43589 + 1.85279i 0.120595 + 0.0917267i
\(409\) 8.35432 9.95629i 0.413094 0.492307i −0.518872 0.854852i \(-0.673648\pi\)
0.931966 + 0.362545i \(0.118092\pi\)
\(410\) 0.402336 + 0.223806i 0.0198699 + 0.0110530i
\(411\) −3.51169 + 6.08243i −0.173219 + 0.300024i
\(412\) −0.164810 + 1.14774i −0.00811959 + 0.0565449i
\(413\) 16.1253 2.84332i 0.793472 0.139911i
\(414\) −9.37942 24.5440i −0.460973 1.20627i
\(415\) −0.0116538 + 0.0320184i −0.000572060 + 0.00157172i
\(416\) 10.9151 2.83731i 0.535159 0.139110i
\(417\) 15.5494i 0.761456i
\(418\) 7.99082 1.18261i 0.390844 0.0578434i
\(419\) 1.47508i 0.0720624i −0.999351 0.0360312i \(-0.988528\pi\)
0.999351 0.0360312i \(-0.0114716\pi\)
\(420\) 0.115516 0.0241924i 0.00563660 0.00118047i
\(421\) 7.00572 19.2481i 0.341438 0.938093i −0.643540 0.765412i \(-0.722535\pi\)
0.984978 0.172680i \(-0.0552428\pi\)
\(422\) 15.2185 5.81569i 0.740823 0.283103i
\(423\) −17.8361 + 3.14499i −0.867221 + 0.152915i
\(424\) 5.75042 + 13.7181i 0.279265 + 0.666210i
\(425\) −2.96948 + 5.14330i −0.144041 + 0.249487i
\(426\) 3.82674 6.87932i 0.185406 0.333304i
\(427\) −11.0081 + 13.1189i −0.532718 + 0.634868i
\(428\) 1.56865 0.628319i 0.0758236 0.0303710i
\(429\) −1.18943 2.06016i −0.0574265 0.0994655i
\(430\) 0.000431814 0.0270601i 2.08239e−5 0.00130495i
\(431\) −15.5185 + 5.64828i −0.747501 + 0.272068i −0.687554 0.726134i \(-0.741315\pi\)
−0.0599469 + 0.998202i \(0.519093\pi\)
\(432\) −13.6260 + 13.0016i −0.655579 + 0.625542i
\(433\) −29.9167 5.27512i −1.43770 0.253506i −0.600161 0.799879i \(-0.704897\pi\)
−0.837542 + 0.546373i \(0.816008\pi\)
\(434\) −11.9002 + 2.29468i −0.571227 + 0.110148i
\(435\) −0.145952 0.173938i −0.00699785 0.00833971i
\(436\) 14.3170 + 7.66758i 0.685662 + 0.367211i
\(437\) −36.4219 8.07172i −1.74230 0.386123i
\(438\) 4.29098 + 7.16567i 0.205031 + 0.342389i
\(439\) 5.71692 4.79706i 0.272854 0.228951i −0.496085 0.868274i \(-0.665230\pi\)
0.768939 + 0.639323i \(0.220785\pi\)
\(440\) −0.0510184 + 0.164232i −0.00243221 + 0.00782945i
\(441\) −1.90338 + 10.7946i −0.0906370 + 0.514028i
\(442\) 2.19427 + 2.53186i 0.104371 + 0.120428i
\(443\) −11.1704 30.6904i −0.530721 1.45814i −0.858215 0.513290i \(-0.828426\pi\)
0.327494 0.944853i \(-0.393796\pi\)
\(444\) 6.82922 4.23899i 0.324101 0.201174i
\(445\) −0.555857 + 0.320924i −0.0263501 + 0.0152133i
\(446\) 0.455099 2.84580i 0.0215496 0.134753i
\(447\) 9.33208 + 7.83054i 0.441392 + 0.370372i
\(448\) 9.09834 6.48627i 0.429856 0.306447i
\(449\) −4.49778 2.59680i −0.212264 0.122550i 0.390099 0.920773i \(-0.372441\pi\)
−0.602363 + 0.798222i \(0.705774\pi\)
\(450\) −11.9098 9.67395i −0.561435 0.456034i
\(451\) −1.59653 9.05436i −0.0751776 0.426353i
\(452\) −17.5769 + 22.3591i −0.826750 + 1.05169i
\(453\) −0.472714 0.172054i −0.0222100 0.00808379i
\(454\) −16.5610 5.73015i −0.777246 0.268929i
\(455\) 0.129203 0.00605713
\(456\) 1.99704 + 11.0472i 0.0935201 + 0.517333i
\(457\) −13.2130 −0.618078 −0.309039 0.951049i \(-0.600007\pi\)
−0.309039 + 0.951049i \(0.600007\pi\)
\(458\) 12.4185 + 4.29683i 0.580278 + 0.200778i
\(459\) −5.25763 1.91362i −0.245405 0.0893202i
\(460\) 0.490842 0.624386i 0.0228856 0.0291122i
\(461\) −4.56893 25.9117i −0.212796 1.20683i −0.884690 0.466180i \(-0.845630\pi\)
0.671894 0.740648i \(-0.265481\pi\)
\(462\) −1.82943 1.48598i −0.0851126 0.0691341i
\(463\) −18.3103 10.5715i −0.850954 0.491298i 0.0100189 0.999950i \(-0.496811\pi\)
−0.860972 + 0.508652i \(0.830144\pi\)
\(464\) −19.2645 9.53913i −0.894330 0.442843i
\(465\) 0.198582 + 0.166630i 0.00920902 + 0.00772729i
\(466\) −1.77597 + 11.1054i −0.0822701 + 0.514447i
\(467\) −27.4162 + 15.8287i −1.26867 + 0.732467i −0.974736 0.223359i \(-0.928298\pi\)
−0.293934 + 0.955826i \(0.594964\pi\)
\(468\) −7.35437 + 4.56496i −0.339956 + 0.211015i
\(469\) 5.24365 + 14.4068i 0.242129 + 0.665245i
\(470\) −0.358541 0.413703i −0.0165383 0.0190827i
\(471\) 1.09897 6.23259i 0.0506380 0.287182i
\(472\) −31.6657 9.83690i −1.45753 0.452780i
\(473\) 0.414014 0.347399i 0.0190364 0.0159734i
\(474\) 7.27802 + 12.1538i 0.334290 + 0.558244i
\(475\) −20.7763 + 6.55244i −0.953284 + 0.300647i
\(476\) 2.92621 + 1.56715i 0.134123 + 0.0718302i
\(477\) −7.33838 8.74554i −0.336001 0.400431i
\(478\) −29.0886 + 5.60908i −1.33048 + 0.256553i
\(479\) 13.3251 + 2.34958i 0.608840 + 0.107355i 0.469563 0.882899i \(-0.344411\pi\)
0.139276 + 0.990254i \(0.455522\pi\)
\(480\) −0.230389 0.0635846i −0.0105158 0.00290223i
\(481\) 8.26868 3.00955i 0.377019 0.137224i
\(482\) −0.213547 13.3822i −0.00972682 0.609543i
\(483\) 5.44236 + 9.42644i 0.247636 + 0.428918i
\(484\) −17.2346 + 6.90326i −0.783389 + 0.313785i
\(485\) 0.253323 0.301898i 0.0115028 0.0137085i
\(486\) 11.1038 19.9612i 0.503677 0.905459i
\(487\) 6.49642 11.2521i 0.294381 0.509883i −0.680460 0.732786i \(-0.738220\pi\)
0.974841 + 0.222903i \(0.0715532\pi\)
\(488\) 31.9839 13.4071i 1.44784 0.606912i
\(489\) −14.6188 + 2.57768i −0.661084 + 0.116567i
\(490\) −0.309493 + 0.118272i −0.0139815 + 0.00534299i
\(491\) −11.1325 + 30.5862i −0.502401 + 1.38033i 0.386523 + 0.922280i \(0.373676\pi\)
−0.888924 + 0.458055i \(0.848546\pi\)
\(492\) 12.5062 2.61915i 0.563821 0.118081i
\(493\) 6.38620i 0.287620i
\(494\) −0.339194 + 12.2851i −0.0152611 + 0.552733i
\(495\) 0.131993i 0.00593263i
\(496\) 23.5509 + 6.90599i 1.05746 + 0.310088i
\(497\) 2.92023 8.02327i 0.130990 0.359893i
\(498\) 0.337568 + 0.883344i 0.0151268 + 0.0395836i
\(499\) 4.07989 0.719394i 0.182641 0.0322045i −0.0815796 0.996667i \(-0.525996\pi\)
0.264220 + 0.964462i \(0.414885\pi\)
\(500\) 0.131874 0.918370i 0.00589757 0.0410708i
\(501\) 6.73260 11.6612i 0.300790 0.520984i
\(502\) 6.59726 + 3.66984i 0.294450 + 0.163793i
\(503\) 14.9435 17.8090i 0.666298 0.794063i −0.321977 0.946747i \(-0.604347\pi\)
0.988275 + 0.152685i \(0.0487919\pi\)
\(504\) −5.19186 + 6.82584i −0.231264 + 0.304047i
\(505\) −0.244547 0.423567i −0.0108822 0.0188485i
\(506\) −15.8585 + 0.253063i −0.704995 + 0.0112500i
\(507\) −7.72254 + 2.81078i −0.342970 + 0.124831i
\(508\) 24.8973 + 8.17213i 1.10464 + 0.362579i
\(509\) 13.7146 + 2.41826i 0.607891 + 0.107188i 0.469116 0.883136i \(-0.344573\pi\)
0.138775 + 0.990324i \(0.455684\pi\)
\(510\) −0.0134434 0.0697175i −0.000595285 0.00308714i
\(511\) 5.82300 + 6.93958i 0.257594 + 0.306989i
\(512\) −22.3945 + 3.23827i −0.989706 + 0.143113i
\(513\) −9.47808 18.2039i −0.418467 0.803724i
\(514\) 16.7247 10.0151i 0.737693 0.441749i
\(515\) 0.0206068 0.0172912i 0.000908045 0.000761940i
\(516\) 0.500913 + 0.559681i 0.0220515 + 0.0246386i
\(517\) −1.89841 + 10.7664i −0.0834922 + 0.473508i
\(518\) 6.58815 5.70970i 0.289467 0.250870i
\(519\) 0.612148 + 1.68186i 0.0268703 + 0.0738256i
\(520\) −0.232591 0.119830i −0.0101998 0.00525488i
\(521\) 14.7143 8.49530i 0.644645 0.372186i −0.141757 0.989902i \(-0.545275\pi\)
0.786402 + 0.617716i \(0.211942\pi\)
\(522\) 16.2922 + 2.60543i 0.713088 + 0.114037i
\(523\) −2.73927 2.29852i −0.119780 0.100507i 0.580930 0.813953i \(-0.302689\pi\)
−0.700710 + 0.713446i \(0.747133\pi\)
\(524\) −0.0866265 2.71359i −0.00378430 0.118544i
\(525\) 5.50470 + 3.17814i 0.240245 + 0.138705i
\(526\) 12.3131 15.1589i 0.536875 0.660959i
\(527\) 1.26607 + 7.18024i 0.0551508 + 0.312776i
\(528\) 1.91515 + 4.37176i 0.0833461 + 0.190257i
\(529\) 47.2174 + 17.1857i 2.05293 + 0.747206i
\(530\) 0.112838 0.326118i 0.00490135 0.0141656i
\(531\) 25.4496 1.10442
\(532\) 4.03098 + 11.4897i 0.174765 + 0.498140i
\(533\) 13.9880 0.605886
\(534\) −5.82469 + 16.8342i −0.252059 + 0.728488i
\(535\) −0.0368389 0.0134083i −0.00159268 0.000579689i
\(536\) 3.92205 30.7983i 0.169407 1.33029i
\(537\) 3.62811 + 20.5760i 0.156565 + 0.887922i
\(538\) 0.199460 0.245560i 0.00859934 0.0105869i
\(539\) 5.73004 + 3.30824i 0.246810 + 0.142496i
\(540\) 0.436715 0.0139414i 0.0187932 0.000599941i
\(541\) 15.2062 + 12.7595i 0.653766 + 0.548575i 0.908211 0.418513i \(-0.137448\pi\)
−0.254445 + 0.967087i \(0.581893\pi\)
\(542\) −19.8570 3.17551i −0.852929 0.136400i
\(543\) 16.9427 9.78187i 0.727081 0.419780i
\(544\) −3.81429 5.53510i −0.163537 0.237316i
\(545\) −0.128869 0.354064i −0.00552013 0.0151664i
\(546\) 2.70977 2.34845i 0.115967 0.100504i
\(547\) −0.130482 + 0.740000i −0.00557901 + 0.0316401i −0.987470 0.157806i \(-0.949558\pi\)
0.981891 + 0.189446i \(0.0606691\pi\)
\(548\) 11.4949 10.2879i 0.491036 0.439476i
\(549\) −20.3903 + 17.1095i −0.870236 + 0.730215i
\(550\) −7.94617 + 4.75837i −0.338826 + 0.202897i
\(551\) 15.8249 17.2724i 0.674162 0.735828i
\(552\) −1.05473 22.0170i −0.0448922 0.937105i
\(553\) 9.87651 + 11.7704i 0.419992 + 0.500527i
\(554\) −5.67411 29.4259i −0.241070 1.25019i
\(555\) −0.183644 0.0323813i −0.00779524 0.00137451i
\(556\) −10.6511 + 32.4497i −0.451706 + 1.37617i
\(557\) −31.8977 + 11.6098i −1.35155 + 0.491923i −0.913430 0.406995i \(-0.866577\pi\)
−0.438117 + 0.898918i \(0.644354\pi\)
\(558\) −18.8344 + 0.300551i −0.797323 + 0.0127233i
\(559\) 0.411130 + 0.712098i 0.0173890 + 0.0301186i
\(560\) −0.257640 0.0286399i −0.0108873 0.00121026i
\(561\) −0.911409 + 1.08617i −0.0384797 + 0.0458583i
\(562\) 9.10779 + 5.06637i 0.384189 + 0.213712i
\(563\) −16.1201 + 27.9209i −0.679383 + 1.17673i 0.295784 + 0.955255i \(0.404419\pi\)
−0.975167 + 0.221471i \(0.928914\pi\)
\(564\) −15.0393 2.15958i −0.633269 0.0909346i
\(565\) 0.649796 0.114577i 0.0273371 0.00482027i
\(566\) 12.3360 + 32.2808i 0.518522 + 1.35686i
\(567\) 1.06300 2.92057i 0.0446418 0.122652i
\(568\) −12.6982 + 11.7351i −0.532804 + 0.492393i
\(569\) 17.8706i 0.749175i −0.927192 0.374587i \(-0.877784\pi\)
0.927192 0.374587i \(-0.122216\pi\)
\(570\) 0.136399 0.221873i 0.00571312 0.00929325i
\(571\) 35.9863i 1.50598i −0.658032 0.752990i \(-0.728611\pi\)
0.658032 0.752990i \(-0.271389\pi\)
\(572\) 1.07103 + 5.11406i 0.0447822 + 0.213830i
\(573\) −2.39205 + 6.57211i −0.0999295 + 0.274554i
\(574\) 12.9457 4.94715i 0.540342 0.206490i
\(575\) 42.1242 7.42763i 1.75670 0.309754i
\(576\) 15.6770 7.47263i 0.653209 0.311360i
\(577\) −7.40172 + 12.8202i −0.308138 + 0.533710i −0.977955 0.208816i \(-0.933039\pi\)
0.669817 + 0.742526i \(0.266372\pi\)
\(578\) −10.7163 + 19.2647i −0.445740 + 0.801305i
\(579\) −2.27658 + 2.71312i −0.0946113 + 0.112753i
\(580\) 0.185439 + 0.462964i 0.00769994 + 0.0192235i
\(581\) 0.512835 + 0.888256i 0.0212760 + 0.0368511i
\(582\) −0.174515 10.9362i −0.00723388 0.453320i
\(583\) −6.47576 + 2.35698i −0.268198 + 0.0976162i
\(584\) −4.04640 17.8932i −0.167441 0.740424i
\(585\) 0.197765 + 0.0348713i 0.00817658 + 0.00144175i
\(586\) −18.4889 + 3.56517i −0.763771 + 0.147276i
\(587\) −12.8463 15.3096i −0.530222 0.631894i 0.432744 0.901517i \(-0.357545\pi\)
−0.962966 + 0.269623i \(0.913101\pi\)
\(588\) −4.34122 + 8.10600i −0.179029 + 0.334286i
\(589\) −14.3682 + 22.5572i −0.592031 + 0.929454i
\(590\) 0.395214 + 0.659983i 0.0162707 + 0.0271711i
\(591\) −8.13976 + 6.83007i −0.334825 + 0.280951i
\(592\) −17.1554 + 4.16838i −0.705084 + 0.171319i
\(593\) −5.76362 + 32.6871i −0.236683 + 1.34230i 0.602356 + 0.798228i \(0.294229\pi\)
−0.839039 + 0.544071i \(0.816882\pi\)
\(594\) −5.71465 6.59386i −0.234475 0.270550i
\(595\) −0.0263390 0.0723659i −0.00107979 0.00296671i
\(596\) −14.1112 22.7338i −0.578016 0.931211i
\(597\) 17.0928 9.86855i 0.699563 0.403893i
\(598\) 3.81051 23.8277i 0.155823 0.974385i
\(599\) 24.4486 + 20.5148i 0.998941 + 0.838211i 0.986837 0.161716i \(-0.0517027\pi\)
0.0121038 + 0.999927i \(0.496147\pi\)
\(600\) −6.96196 10.8266i −0.284221 0.441995i
\(601\) −0.700958 0.404698i −0.0285927 0.0165080i 0.485636 0.874161i \(-0.338588\pi\)
−0.514228 + 0.857653i \(0.671922\pi\)
\(602\) 0.632344 + 0.513632i 0.0257724 + 0.0209341i
\(603\) 4.13788 + 23.4671i 0.168508 + 0.955654i
\(604\) 0.868644 + 0.682857i 0.0353446 + 0.0277851i
\(605\) 0.404744 + 0.147315i 0.0164552 + 0.00598919i
\(606\) −12.8278 4.43846i −0.521094 0.180300i
\(607\) 37.1238 1.50681 0.753404 0.657558i \(-0.228410\pi\)
0.753404 + 0.657558i \(0.228410\pi\)
\(608\) 3.39957 24.4222i 0.137871 0.990450i
\(609\) −6.83495 −0.276966
\(610\) −0.760345 0.263082i −0.0307855 0.0106519i
\(611\) −15.6299 5.68880i −0.632316 0.230144i
\(612\) 4.05605 + 3.18854i 0.163956 + 0.128889i
\(613\) −6.54618 37.1252i −0.264398 1.49947i −0.770745 0.637144i \(-0.780116\pi\)
0.506347 0.862330i \(-0.330996\pi\)
\(614\) 31.2970 + 25.4215i 1.26304 + 1.02593i
\(615\) −0.256720 0.148217i −0.0103519 0.00597669i
\(616\) 2.79993 + 4.35420i 0.112812 + 0.175436i
\(617\) −24.7371 20.7569i −0.995877 0.835640i −0.00946884 0.999955i \(-0.503014\pi\)
−0.986408 + 0.164315i \(0.947459\pi\)
\(618\) 0.117894 0.737206i 0.00474237 0.0296548i
\(619\) 36.7309 21.2066i 1.47634 0.852365i 0.476697 0.879068i \(-0.341834\pi\)
0.999643 + 0.0267023i \(0.00850062\pi\)
\(620\) −0.300279 0.483763i −0.0120595 0.0194284i
\(621\) 13.7824 + 37.8669i 0.553069 + 1.51954i
\(622\) 24.2129 + 27.9382i 0.970850 + 1.12022i
\(623\) −3.35503 + 19.0273i −0.134416 + 0.762313i
\(624\) −7.05619 + 1.71449i −0.282474 + 0.0686346i
\(625\) 19.1264 16.0489i 0.765055 0.641957i
\(626\) −2.58234 4.31235i −0.103211 0.172356i
\(627\) −5.15655 + 0.679260i −0.205933 + 0.0271270i
\(628\) −6.56265 + 12.2539i −0.261878 + 0.488984i
\(629\) −3.37127 4.01772i −0.134421 0.160197i
\(630\) 0.195362 0.0376711i 0.00778340 0.00150085i
\(631\) −20.4902 3.61298i −0.815704 0.143831i −0.249795 0.968299i \(-0.580363\pi\)
−0.565908 + 0.824468i \(0.691474\pi\)
\(632\) −6.86319 30.3490i −0.273003 1.20722i
\(633\) −9.85721 + 3.58773i −0.391789 + 0.142599i
\(634\) 0.313723 + 19.6598i 0.0124595 + 0.780792i
\(635\) −0.303965 0.526483i −0.0120625 0.0208929i
\(636\) −3.56112 8.89063i −0.141208 0.352536i
\(637\) −6.47057 + 7.71133i −0.256373 + 0.305534i
\(638\) 4.84146 8.70347i 0.191675 0.344574i
\(639\) 6.63531 11.4927i 0.262489 0.454644i
\(640\) 0.437240 + 0.290506i 0.0172834 + 0.0114833i
\(641\) −25.6534 + 4.52338i −1.01325 + 0.178663i −0.655531 0.755168i \(-0.727555\pi\)
−0.357715 + 0.933831i \(0.616444\pi\)
\(642\) −1.01633 + 0.388389i −0.0401115 + 0.0153285i
\(643\) −9.65370 + 26.5233i −0.380705 + 1.04598i 0.590355 + 0.807144i \(0.298988\pi\)
−0.971060 + 0.238835i \(0.923235\pi\)
\(644\) −4.90060 23.3998i −0.193111 0.922082i
\(645\) 0.0174254i 0.000686125i
\(646\) 6.94997 2.31443i 0.273443 0.0910601i
\(647\) 31.9737i 1.25702i −0.777803 0.628508i \(-0.783666\pi\)
0.777803 0.628508i \(-0.216334\pi\)
\(648\) −4.62229 + 4.27171i −0.181581 + 0.167809i
\(649\) 5.25418 14.4357i 0.206245 0.566652i
\(650\) −5.03017 13.1629i −0.197299 0.516291i
\(651\) 7.68477 1.35503i 0.301190 0.0531079i
\(652\) 32.2733 + 4.63430i 1.26392 + 0.181493i
\(653\) 8.32093 14.4123i 0.325623 0.563996i −0.656015 0.754748i \(-0.727759\pi\)
0.981638 + 0.190752i \(0.0610926\pi\)
\(654\) −9.13838 5.08338i −0.357339 0.198776i
\(655\) −0.0404870 + 0.0482505i −0.00158196 + 0.00188530i
\(656\) −27.8930 3.10066i −1.08904 0.121060i
\(657\) 7.04003 + 12.1937i 0.274658 + 0.475721i
\(658\) −16.4772 + 0.262936i −0.642347 + 0.0102503i
\(659\) 4.28405 1.55927i 0.166883 0.0607404i −0.257228 0.966351i \(-0.582809\pi\)
0.424111 + 0.905610i \(0.360587\pi\)
\(660\) 0.0345323 0.105207i 0.00134417 0.00409516i
\(661\) −22.6492 3.99366i −0.880951 0.155335i −0.285165 0.958479i \(-0.592048\pi\)
−0.595786 + 0.803143i \(0.703159\pi\)
\(662\) 1.90350 + 9.87153i 0.0739816 + 0.383668i
\(663\) −1.38663 1.65253i −0.0538524 0.0641788i
\(664\) −0.0993873 2.07467i −0.00385698 0.0805126i
\(665\) 0.108083 0.260991i 0.00419129 0.0101208i
\(666\) 11.6252 6.96146i 0.450467 0.269751i
\(667\) −35.2343 + 29.5651i −1.36428 + 1.14477i
\(668\) −22.0379 + 19.7238i −0.852672 + 0.763139i
\(669\) −0.322223 + 1.82742i −0.0124579 + 0.0706521i
\(670\) −0.544312 + 0.471735i −0.0210286 + 0.0182247i
\(671\) 5.49532 + 15.0983i 0.212145 + 0.582862i
\(672\) −5.92404 + 4.08231i −0.228525 + 0.157479i
\(673\) 23.9900 13.8506i 0.924745 0.533902i 0.0395995 0.999216i \(-0.487392\pi\)
0.885146 + 0.465314i \(0.154058\pi\)
\(674\) −42.4025 6.78098i −1.63328 0.261194i
\(675\) 18.0266 + 15.1261i 0.693843 + 0.582204i
\(676\) 18.0414 0.575940i 0.693900 0.0221515i
\(677\) 3.28430 + 1.89619i 0.126226 + 0.0728765i 0.561783 0.827284i \(-0.310115\pi\)
−0.435558 + 0.900161i \(0.643449\pi\)
\(678\) 11.5455 14.2140i 0.443404 0.545885i
\(679\) −2.06001 11.6829i −0.0790561 0.448349i
\(680\) −0.0197006 + 0.154701i −0.000755482 + 0.00593251i
\(681\) 10.6029 + 3.85914i 0.406304 + 0.147883i
\(682\) −3.71796 + 10.7454i −0.142368 + 0.411464i
\(683\) −34.1213 −1.30561 −0.652807 0.757524i \(-0.726409\pi\)
−0.652807 + 0.757524i \(0.726409\pi\)
\(684\) 3.06903 + 18.6746i 0.117347 + 0.714042i
\(685\) −0.357887 −0.0136742
\(686\) −7.78225 + 22.4919i −0.297128 + 0.858743i
\(687\) −7.95073 2.89383i −0.303339 0.110406i
\(688\) −0.661974 1.51111i −0.0252375 0.0576104i
\(689\) −1.82064 10.3253i −0.0693607 0.393364i
\(690\) −0.322413 + 0.396930i −0.0122740 + 0.0151109i
\(691\) −28.6806 16.5587i −1.09106 0.629924i −0.157202 0.987566i \(-0.550247\pi\)
−0.933859 + 0.357642i \(0.883581\pi\)
\(692\) −0.125432 3.92917i −0.00476820 0.149365i
\(693\) −3.04367 2.55394i −0.115619 0.0970162i
\(694\) −0.697068 0.111475i −0.0264603 0.00423152i
\(695\) 0.686188 0.396171i 0.0260286 0.0150276i
\(696\) 12.3042 + 6.33909i 0.466391 + 0.240283i
\(697\) −2.85155 7.83458i −0.108010 0.296756i
\(698\) −2.91906 + 2.52984i −0.110488 + 0.0957557i
\(699\) 1.25744 7.13128i 0.0475606 0.269730i
\(700\) −9.31069 10.4030i −0.351911 0.393198i
\(701\) 5.75372 4.82795i 0.217315 0.182349i −0.527631 0.849474i \(-0.676920\pi\)
0.744946 + 0.667125i \(0.232475\pi\)
\(702\) 11.3894 6.82024i 0.429864 0.257413i
\(703\) 0.837759 19.2204i 0.0315967 0.724911i
\(704\) −1.00210 10.4352i −0.0377681 0.393292i
\(705\) 0.226574 + 0.270021i 0.00853328 + 0.0101696i
\(706\) 6.71605 + 34.8294i 0.252762 + 1.31082i
\(707\) −14.4990 2.55656i −0.545289 0.0961492i
\(708\) 20.2849 + 6.65819i 0.762355 + 0.250230i
\(709\) −19.0347 + 6.92805i −0.714862 + 0.260188i −0.673743 0.738966i \(-0.735314\pi\)
−0.0411190 + 0.999154i \(0.513092\pi\)
\(710\) 0.401081 0.00640027i 0.0150523 0.000240198i
\(711\) 11.9407 + 20.6820i 0.447813 + 0.775635i
\(712\) 23.6866 31.1412i 0.887694 1.16707i
\(713\) 33.7539 40.2263i 1.26409 1.50649i
\(714\) −1.86776 1.03898i −0.0698992 0.0388827i
\(715\) 0.0606095 0.104979i 0.00226667 0.00392598i
\(716\) 6.52282 45.4250i 0.243769 1.69761i
\(717\) 18.7846 3.31222i 0.701522 0.123697i
\(718\) 3.93280 + 10.2913i 0.146771 + 0.384069i
\(719\) −9.88743 + 27.1655i −0.368739 + 1.01310i 0.607103 + 0.794623i \(0.292332\pi\)
−0.975842 + 0.218479i \(0.929891\pi\)
\(720\) −0.386628 0.113374i −0.0144088 0.00422519i
\(721\) 0.809749i 0.0301566i
\(722\) 24.5322 + 10.9622i 0.912996 + 0.407969i
\(723\) 8.61750i 0.320488i
\(724\) −42.0579 + 8.80814i −1.56307 + 0.327352i
\(725\) −9.18649 + 25.2397i −0.341178 + 0.937378i
\(726\) 11.1663 4.26718i 0.414421 0.158370i
\(727\) 12.6244 2.22602i 0.468212 0.0825584i 0.0654356 0.997857i \(-0.479156\pi\)
0.402776 + 0.915298i \(0.368045\pi\)
\(728\) −7.26362 + 3.04480i −0.269208 + 0.112848i
\(729\) −4.01571 + 6.95541i −0.148730 + 0.257608i
\(730\) −0.206892 + 0.371928i −0.00765740 + 0.0137657i
\(731\) 0.315030 0.375438i 0.0116518 0.0138861i
\(732\) −20.7286 + 8.30278i −0.766150 + 0.306879i
\(733\) −25.7324 44.5699i −0.950450 1.64623i −0.744453 0.667674i \(-0.767290\pi\)
−0.205996 0.978553i \(-0.566044\pi\)
\(734\) −0.189798 11.8939i −0.00700558 0.439013i
\(735\) 0.200463 0.0729627i 0.00739420 0.00269127i
\(736\) −12.8802 + 46.6693i −0.474770 + 1.72026i
\(737\) 14.1655 + 2.49776i 0.521792 + 0.0920061i
\(738\) 21.1505 4.07840i 0.778562 0.150128i
\(739\) −3.33185 3.97074i −0.122564 0.146066i 0.701273 0.712893i \(-0.252615\pi\)
−0.823837 + 0.566827i \(0.808171\pi\)
\(740\) 0.361062 + 0.193369i 0.0132729 + 0.00710839i
\(741\) 0.344578 7.90553i 0.0126584 0.290417i
\(742\) −5.33676 8.91205i −0.195919 0.327172i
\(743\) −12.0551 + 10.1154i −0.442259 + 0.371099i −0.836554 0.547885i \(-0.815433\pi\)
0.394295 + 0.918984i \(0.370989\pi\)
\(744\) −15.0908 4.68794i −0.553256 0.171868i
\(745\) −0.107794 + 0.611330i −0.00394927 + 0.0223974i
\(746\) 18.8871 + 21.7929i 0.691505 + 0.797895i
\(747\) 0.545236 + 1.49802i 0.0199492 + 0.0548098i
\(748\) 2.64602 1.64242i 0.0967480 0.0600528i
\(749\) −1.02199 + 0.590044i −0.0373425 + 0.0215597i
\(750\) −0.0943335 + 0.589881i −0.00344457 + 0.0215394i
\(751\) −37.8228 31.7371i −1.38017 1.15810i −0.969148 0.246479i \(-0.920726\pi\)
−0.411026 0.911624i \(-0.634829\pi\)
\(752\) 29.9060 + 14.8085i 1.09056 + 0.540010i
\(753\) −4.20954 2.43038i −0.153404 0.0885679i
\(754\) 11.7614 + 9.55336i 0.428324 + 0.347913i
\(755\) −0.00445125 0.0252443i −0.000161998 0.000918734i
\(756\) 8.12857 10.3401i 0.295633 0.376067i
\(757\) 45.1863 + 16.4465i 1.64232 + 0.597757i 0.987443 0.157975i \(-0.0504965\pi\)
0.654881 + 0.755732i \(0.272719\pi\)
\(758\) 23.8755 + 8.26098i 0.867196 + 0.300052i
\(759\) 10.2121 0.370676
\(760\) −0.436628 + 0.369592i −0.0158382 + 0.0134065i
\(761\) −48.4854 −1.75759 −0.878797 0.477196i \(-0.841653\pi\)
−0.878797 + 0.477196i \(0.841653\pi\)
\(762\) −15.9446 5.51690i −0.577614 0.199856i
\(763\) −10.6580 3.87919i −0.385845 0.140436i
\(764\) 9.49373 12.0767i 0.343471 0.436920i
\(765\) −0.0207847 0.117876i −0.000751472 0.00426181i
\(766\) 13.3750 + 10.8641i 0.483260 + 0.392535i
\(767\) 20.2410 + 11.6862i 0.730860 + 0.421962i
\(768\) 14.4506 1.85470i 0.521441 0.0669256i
\(769\) 3.06662 + 2.57320i 0.110585 + 0.0927919i 0.696404 0.717650i \(-0.254782\pi\)
−0.585818 + 0.810442i \(0.699227\pi\)
\(770\) 0.0189652 0.118592i 0.000683458 0.00427376i
\(771\) −10.8700 + 6.27581i −0.391474 + 0.226018i
\(772\) 6.60939