Properties

Label 576.2.bm.a.205.93
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 205.93
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.93

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41235 - 0.0725673i) q^{2} +(-1.51508 - 0.839360i) q^{3} +(1.98947 - 0.204981i) q^{4} +(-1.38021 - 1.57383i) q^{5} +(-2.20074 - 1.07552i) q^{6} +(2.49216 + 0.328099i) q^{7} +(2.79495 - 0.433875i) q^{8} +(1.59095 + 2.54340i) q^{9} +O(q^{10})\) \(q+(1.41235 - 0.0725673i) q^{2} +(-1.51508 - 0.839360i) q^{3} +(1.98947 - 0.204981i) q^{4} +(-1.38021 - 1.57383i) q^{5} +(-2.20074 - 1.07552i) q^{6} +(2.49216 + 0.328099i) q^{7} +(2.79495 - 0.433875i) q^{8} +(1.59095 + 2.54340i) q^{9} +(-2.06355 - 2.12264i) q^{10} +(-1.07736 - 2.18466i) q^{11} +(-3.18626 - 1.35932i) q^{12} +(-1.11630 - 3.28851i) q^{13} +(3.54361 + 0.282541i) q^{14} +(0.770126 + 3.54298i) q^{15} +(3.91597 - 0.815606i) q^{16} +(-1.22795 - 1.22795i) q^{17} +(2.43155 + 3.47672i) q^{18} +(0.214484 - 1.07828i) q^{19} +(-3.06850 - 2.84817i) q^{20} +(-3.50043 - 2.58891i) q^{21} +(-1.68014 - 3.00733i) q^{22} +(-0.00305513 - 0.0232060i) q^{23} +(-4.59876 - 1.68861i) q^{24} +(0.0806739 - 0.612779i) q^{25} +(-1.81524 - 4.56352i) q^{26} +(-0.275597 - 5.18884i) q^{27} +(5.02532 + 0.141897i) q^{28} +(-7.22264 + 0.473397i) q^{29} +(1.34479 + 4.94804i) q^{30} +(7.56639 - 4.36846i) q^{31} +(5.47153 - 1.43609i) q^{32} +(-0.201433 + 4.21423i) q^{33} +(-1.82341 - 1.64519i) q^{34} +(-2.92333 - 4.37508i) q^{35} +(3.68649 + 4.73389i) q^{36} +(1.63587 + 8.22409i) q^{37} +(0.224678 - 1.53848i) q^{38} +(-1.06896 + 5.91934i) q^{39} +(-4.54047 - 3.79994i) q^{40} +(0.138446 + 1.05160i) q^{41} +(-5.13170 - 3.40243i) q^{42} +(1.20936 - 0.596388i) q^{43} +(-2.59118 - 4.12548i) q^{44} +(1.80703 - 6.01432i) q^{45} +(-0.00599892 - 0.0325534i) q^{46} +(1.62162 - 0.434511i) q^{47} +(-6.61760 - 2.05119i) q^{48} +(-0.658286 - 0.176387i) q^{49} +(0.0694721 - 0.871313i) q^{50} +(0.829757 + 2.89115i) q^{51} +(-2.89492 - 6.31357i) q^{52} +(-1.30530 + 1.95351i) q^{53} +(-0.765779 - 7.30846i) q^{54} +(-1.95131 + 4.71088i) q^{55} +(7.10781 - 0.164265i) q^{56} +(-1.23003 + 1.45366i) q^{57} +(-10.1665 + 1.19273i) q^{58} +(2.72597 + 3.10837i) q^{59} +(2.25839 + 6.89078i) q^{60} +(-0.179452 - 2.73790i) q^{61} +(10.3694 - 6.71887i) q^{62} +(3.13041 + 6.86053i) q^{63} +(7.62350 - 2.42532i) q^{64} +(-3.63483 + 6.29571i) q^{65} +(0.0213208 + 5.96659i) q^{66} +(13.8340 + 6.82219i) q^{67} +(-2.69468 - 2.19127i) q^{68} +(-0.0148494 + 0.0377234i) q^{69} +(-4.44626 - 5.96701i) q^{70} +(3.18754 + 7.69540i) q^{71} +(5.55015 + 6.41840i) q^{72} +(-5.78025 + 13.9548i) q^{73} +(2.90722 + 11.4966i) q^{74} +(-0.636570 + 0.860697i) q^{75} +(0.205681 - 2.18917i) q^{76} +(-1.96816 - 5.79800i) q^{77} +(-1.08019 + 8.43776i) q^{78} +(2.42299 + 9.04272i) q^{79} +(-6.68849 - 5.03736i) q^{80} +(-3.93775 + 8.09284i) q^{81} +(0.271846 + 1.47519i) q^{82} +(6.39457 + 5.60789i) q^{83} +(-7.49467 - 4.43304i) q^{84} +(-0.237754 + 3.62743i) q^{85} +(1.66476 - 0.930069i) q^{86} +(11.3402 + 5.34516i) q^{87} +(-3.95903 - 5.63859i) q^{88} +(11.5711 - 4.79291i) q^{89} +(2.11572 - 8.62546i) q^{90} +(-1.70304 - 8.56174i) q^{91} +(-0.0108349 - 0.0455414i) q^{92} +(-15.1304 + 0.267652i) q^{93} +(2.25876 - 0.731359i) q^{94} +(-1.99307 + 1.15070i) q^{95} +(-9.49522 - 2.41678i) q^{96} +(1.38936 + 0.802147i) q^{97} +(-0.942531 - 0.201351i) q^{98} +(3.84244 - 6.21584i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41235 0.0725673i 0.998683 0.0513128i
\(3\) −1.51508 0.839360i −0.874733 0.484604i
\(4\) 1.98947 0.204981i 0.994734 0.102490i
\(5\) −1.38021 1.57383i −0.617250 0.703839i 0.355766 0.934575i \(-0.384220\pi\)
−0.973016 + 0.230736i \(0.925887\pi\)
\(6\) −2.20074 1.07552i −0.898447 0.439081i
\(7\) 2.49216 + 0.328099i 0.941947 + 0.124010i 0.585832 0.810433i \(-0.300768\pi\)
0.356115 + 0.934442i \(0.384101\pi\)
\(8\) 2.79495 0.433875i 0.988164 0.153398i
\(9\) 1.59095 + 2.54340i 0.530317 + 0.847799i
\(10\) −2.06355 2.12264i −0.652553 0.671239i
\(11\) −1.07736 2.18466i −0.324835 0.658700i 0.671794 0.740738i \(-0.265524\pi\)
−0.996629 + 0.0820375i \(0.973857\pi\)
\(12\) −3.18626 1.35932i −0.919794 0.392401i
\(13\) −1.11630 3.28851i −0.309606 0.912069i −0.984688 0.174326i \(-0.944225\pi\)
0.675082 0.737742i \(-0.264108\pi\)
\(14\) 3.54361 + 0.282541i 0.947069 + 0.0755123i
\(15\) 0.770126 + 3.54298i 0.198846 + 0.914793i
\(16\) 3.91597 0.815606i 0.978991 0.203901i
\(17\) −1.22795 1.22795i −0.297823 0.297823i 0.542338 0.840160i \(-0.317539\pi\)
−0.840160 + 0.542338i \(0.817539\pi\)
\(18\) 2.43155 + 3.47672i 0.573121 + 0.819471i
\(19\) 0.214484 1.07828i 0.0492059 0.247375i −0.948352 0.317220i \(-0.897251\pi\)
0.997558 + 0.0698453i \(0.0222506\pi\)
\(20\) −3.06850 2.84817i −0.686136 0.636870i
\(21\) −3.50043 2.58891i −0.763856 0.564947i
\(22\) −1.68014 3.00733i −0.358207 0.641164i
\(23\) −0.00305513 0.0232060i −0.000637039 0.00483880i 0.991123 0.132945i \(-0.0424434\pi\)
−0.991760 + 0.128106i \(0.959110\pi\)
\(24\) −4.59876 1.68861i −0.938718 0.344687i
\(25\) 0.0806739 0.612779i 0.0161348 0.122556i
\(26\) −1.81524 4.56352i −0.355999 0.894980i
\(27\) −0.275597 5.18884i −0.0530386 0.998592i
\(28\) 5.02532 + 0.141897i 0.949696 + 0.0268161i
\(29\) −7.22264 + 0.473397i −1.34121 + 0.0879076i −0.719037 0.694972i \(-0.755417\pi\)
−0.622174 + 0.782879i \(0.713750\pi\)
\(30\) 1.34479 + 4.94804i 0.245524 + 0.903385i
\(31\) 7.56639 4.36846i 1.35896 0.784599i 0.369480 0.929239i \(-0.379536\pi\)
0.989484 + 0.144640i \(0.0462024\pi\)
\(32\) 5.47153 1.43609i 0.967239 0.253868i
\(33\) −0.201433 + 4.21423i −0.0350651 + 0.733604i
\(34\) −1.82341 1.64519i −0.312712 0.282148i
\(35\) −2.92333 4.37508i −0.494134 0.739523i
\(36\) 3.68649 + 4.73389i 0.614416 + 0.788982i
\(37\) 1.63587 + 8.22409i 0.268936 + 1.35203i 0.845061 + 0.534670i \(0.179564\pi\)
−0.576125 + 0.817361i \(0.695436\pi\)
\(38\) 0.224678 1.53848i 0.0364476 0.249574i
\(39\) −1.06896 + 5.91934i −0.171170 + 0.947853i
\(40\) −4.54047 3.79994i −0.717912 0.600824i
\(41\) 0.138446 + 1.05160i 0.0216217 + 0.164233i 0.998849 0.0479613i \(-0.0152724\pi\)
−0.977228 + 0.212194i \(0.931939\pi\)
\(42\) −5.13170 3.40243i −0.791839 0.525007i
\(43\) 1.20936 0.596388i 0.184425 0.0909484i −0.347732 0.937594i \(-0.613048\pi\)
0.532157 + 0.846646i \(0.321382\pi\)
\(44\) −2.59118 4.12548i −0.390635 0.621939i
\(45\) 1.80703 6.01432i 0.269376 0.896562i
\(46\) −0.00599892 0.0325534i −0.000884492 0.00479973i
\(47\) 1.62162 0.434511i 0.236537 0.0633800i −0.138603 0.990348i \(-0.544261\pi\)
0.375140 + 0.926968i \(0.377595\pi\)
\(48\) −6.61760 2.05119i −0.955168 0.296064i
\(49\) −0.658286 0.176387i −0.0940409 0.0251982i
\(50\) 0.0694721 0.871313i 0.00982484 0.123222i
\(51\) 0.829757 + 2.89115i 0.116189 + 0.404842i
\(52\) −2.89492 6.31357i −0.401453 0.875534i
\(53\) −1.30530 + 1.95351i −0.179296 + 0.268336i −0.910222 0.414122i \(-0.864089\pi\)
0.730925 + 0.682457i \(0.239089\pi\)
\(54\) −0.765779 7.30846i −0.104209 0.994555i
\(55\) −1.95131 + 4.71088i −0.263114 + 0.635214i
\(56\) 7.10781 0.164265i 0.949821 0.0219508i
\(57\) −1.23003 + 1.45366i −0.162921 + 0.192542i
\(58\) −10.1665 + 1.19273i −1.33493 + 0.156613i
\(59\) 2.72597 + 3.10837i 0.354891 + 0.404675i 0.901547 0.432682i \(-0.142433\pi\)
−0.546656 + 0.837357i \(0.684099\pi\)
\(60\) 2.25839 + 6.89078i 0.291556 + 0.889596i
\(61\) −0.179452 2.73790i −0.0229764 0.350553i −0.993833 0.110890i \(-0.964630\pi\)
0.970856 0.239663i \(-0.0770368\pi\)
\(62\) 10.3694 6.71887i 1.31691 0.853297i
\(63\) 3.13041 + 6.86053i 0.394395 + 0.864346i
\(64\) 7.62350 2.42532i 0.952938 0.303165i
\(65\) −3.63483 + 6.29571i −0.450845 + 0.780887i
\(66\) 0.0213208 + 5.96659i 0.00262440 + 0.734437i
\(67\) 13.8340 + 6.82219i 1.69010 + 0.833463i 0.993217 + 0.116275i \(0.0370955\pi\)
0.696880 + 0.717188i \(0.254571\pi\)
\(68\) −2.69468 2.19127i −0.326778 0.265730i
\(69\) −0.0148494 + 0.0377234i −0.00178766 + 0.00454137i
\(70\) −4.44626 5.96701i −0.531430 0.713194i
\(71\) 3.18754 + 7.69540i 0.378291 + 0.913275i 0.992286 + 0.123966i \(0.0395613\pi\)
−0.613995 + 0.789310i \(0.710439\pi\)
\(72\) 5.55015 + 6.41840i 0.654091 + 0.756416i
\(73\) −5.78025 + 13.9548i −0.676527 + 1.63328i 0.0937684 + 0.995594i \(0.470109\pi\)
−0.770296 + 0.637687i \(0.779891\pi\)
\(74\) 2.90722 + 11.4966i 0.337958 + 1.33645i
\(75\) −0.636570 + 0.860697i −0.0735047 + 0.0993847i
\(76\) 0.205681 2.18917i 0.0235932 0.251115i
\(77\) −1.96816 5.79800i −0.224292 0.660743i
\(78\) −1.08019 + 8.43776i −0.122308 + 0.955388i
\(79\) 2.42299 + 9.04272i 0.272608 + 1.01739i 0.957428 + 0.288673i \(0.0932142\pi\)
−0.684820 + 0.728712i \(0.740119\pi\)
\(80\) −6.68849 5.03736i −0.747796 0.563194i
\(81\) −3.93775 + 8.09284i −0.437528 + 0.899205i
\(82\) 0.271846 + 1.47519i 0.0300204 + 0.162907i
\(83\) 6.39457 + 5.60789i 0.701895 + 0.615546i 0.934054 0.357132i \(-0.116245\pi\)
−0.232159 + 0.972678i \(0.574579\pi\)
\(84\) −7.49467 4.43304i −0.817736 0.483684i
\(85\) −0.237754 + 3.62743i −0.0257881 + 0.393450i
\(86\) 1.66476 0.930069i 0.179515 0.100292i
\(87\) 11.3402 + 5.34516i 1.21580 + 0.573061i
\(88\) −3.95903 5.63859i −0.422034 0.601075i
\(89\) 11.5711 4.79291i 1.22654 0.508048i 0.327054 0.945006i \(-0.393944\pi\)
0.899482 + 0.436958i \(0.143944\pi\)
\(90\) 2.11572 8.62546i 0.223016 0.909203i
\(91\) −1.70304 8.56174i −0.178527 0.897514i
\(92\) −0.0108349 0.0455414i −0.00112962 0.00474802i
\(93\) −15.1304 + 0.267652i −1.56895 + 0.0277542i
\(94\) 2.25876 0.731359i 0.232974 0.0754339i
\(95\) −1.99307 + 1.15070i −0.204484 + 0.118059i
\(96\) −9.49522 2.41678i −0.969102 0.246662i
\(97\) 1.38936 + 0.802147i 0.141068 + 0.0814457i 0.568873 0.822425i \(-0.307380\pi\)
−0.427805 + 0.903871i \(0.640713\pi\)
\(98\) −0.942531 0.201351i −0.0952100 0.0203395i
\(99\) 3.84244 6.21584i 0.386180 0.624715i
\(100\) 0.0348901 1.23564i 0.00348901 0.123564i
\(101\) 2.75471 + 0.935099i 0.274104 + 0.0930458i 0.455107 0.890437i \(-0.349601\pi\)
−0.181003 + 0.983483i \(0.557934\pi\)
\(102\) 1.38171 + 4.02310i 0.136810 + 0.398346i
\(103\) −13.6029 10.4378i −1.34033 1.02847i −0.995975 0.0896323i \(-0.971431\pi\)
−0.344355 0.938839i \(-0.611903\pi\)
\(104\) −4.54680 8.70689i −0.445851 0.853781i
\(105\) 0.756829 + 9.08234i 0.0738589 + 0.886345i
\(106\) −1.70177 + 2.85377i −0.165291 + 0.277182i
\(107\) 1.41931 + 0.948351i 0.137210 + 0.0916806i 0.622281 0.782794i \(-0.286206\pi\)
−0.485071 + 0.874475i \(0.661206\pi\)
\(108\) −1.61190 10.2665i −0.155105 0.987898i
\(109\) −2.95352 + 14.8483i −0.282896 + 1.42221i 0.534028 + 0.845467i \(0.320678\pi\)
−0.816924 + 0.576746i \(0.804322\pi\)
\(110\) −2.41408 + 6.79501i −0.230173 + 0.647879i
\(111\) 4.42448 13.8333i 0.419953 1.31299i
\(112\) 10.0268 0.747794i 0.947443 0.0706599i
\(113\) −18.2560 4.89168i −1.71738 0.460171i −0.740165 0.672425i \(-0.765253\pi\)
−0.977214 + 0.212254i \(0.931920\pi\)
\(114\) −1.63174 + 2.14233i −0.152827 + 0.200648i
\(115\) −0.0323057 + 0.0368376i −0.00301252 + 0.00343512i
\(116\) −14.2722 + 2.42231i −1.32514 + 0.224906i
\(117\) 6.58801 8.07105i 0.609062 0.746169i
\(118\) 4.07559 + 4.19229i 0.375188 + 0.385932i
\(119\) −2.65736 3.46314i −0.243600 0.317466i
\(120\) 3.68968 + 9.56832i 0.336820 + 0.873464i
\(121\) 3.08432 4.01957i 0.280393 0.365415i
\(122\) −0.452131 3.85386i −0.0409340 0.348912i
\(123\) 0.672916 1.70947i 0.0606748 0.154138i
\(124\) 14.1576 10.2419i 1.27139 0.919748i
\(125\) −9.77836 + 6.53369i −0.874603 + 0.584391i
\(126\) 4.91909 + 9.46231i 0.438227 + 0.842970i
\(127\) −9.05713 −0.803690 −0.401845 0.915708i \(-0.631631\pi\)
−0.401845 + 0.915708i \(0.631631\pi\)
\(128\) 10.5911 3.97862i 0.936126 0.351664i
\(129\) −2.33286 0.111507i −0.205397 0.00981763i
\(130\) −4.67679 + 9.15552i −0.410182 + 0.802992i
\(131\) 5.71166 + 2.81668i 0.499030 + 0.246094i 0.674343 0.738418i \(-0.264427\pi\)
−0.175313 + 0.984513i \(0.556094\pi\)
\(132\) 0.463092 + 8.42537i 0.0403070 + 0.733334i
\(133\) 0.888309 2.61688i 0.0770262 0.226912i
\(134\) 20.0336 + 8.63143i 1.73064 + 0.745642i
\(135\) −7.78598 + 7.59545i −0.670110 + 0.653712i
\(136\) −3.96485 2.89929i −0.339983 0.248612i
\(137\) 2.13261 + 2.77927i 0.182201 + 0.237449i 0.875520 0.483182i \(-0.160519\pi\)
−0.693319 + 0.720631i \(0.743852\pi\)
\(138\) −0.0182351 + 0.0543563i −0.00155228 + 0.00462712i
\(139\) 11.1083 + 0.728077i 0.942194 + 0.0617547i 0.528753 0.848776i \(-0.322660\pi\)
0.413441 + 0.910531i \(0.364327\pi\)
\(140\) −6.71269 8.10485i −0.567326 0.684985i
\(141\) −2.82160 0.702800i −0.237621 0.0591865i
\(142\) 5.06035 + 10.6373i 0.424655 + 0.892661i
\(143\) −5.98163 + 5.98163i −0.500209 + 0.500209i
\(144\) 8.30452 + 8.66227i 0.692043 + 0.721856i
\(145\) 10.7138 + 10.7138i 0.889735 + 0.889735i
\(146\) −7.15108 + 20.1285i −0.591828 + 1.66584i
\(147\) 0.849306 + 0.819780i 0.0700496 + 0.0676144i
\(148\) 4.94030 + 16.0262i 0.406090 + 1.31735i
\(149\) 1.08527 16.5581i 0.0889091 1.35649i −0.687465 0.726218i \(-0.741277\pi\)
0.776374 0.630272i \(-0.217057\pi\)
\(150\) −0.836601 + 1.26180i −0.0683082 + 0.103026i
\(151\) 15.4449 11.8513i 1.25689 0.964442i 0.256887 0.966441i \(-0.417303\pi\)
0.999998 + 0.00199955i \(0.000636476\pi\)
\(152\) 0.131631 3.10680i 0.0106767 0.251995i
\(153\) 1.16956 5.07679i 0.0945534 0.410434i
\(154\) −3.20047 8.04598i −0.257901 0.648364i
\(155\) −17.3185 5.87882i −1.39105 0.472198i
\(156\) −0.913305 + 11.9955i −0.0731229 + 0.960405i
\(157\) −4.33139 + 8.78318i −0.345682 + 0.700974i −0.998395 0.0566310i \(-0.981964\pi\)
0.652713 + 0.757605i \(0.273631\pi\)
\(158\) 4.07832 + 12.5957i 0.324453 + 1.00206i
\(159\) 3.61733 1.86412i 0.286873 0.147834i
\(160\) −9.81204 6.62915i −0.775710 0.524080i
\(161\) 0.0588355i 0.00463689i
\(162\) −4.97421 + 11.7157i −0.390811 + 0.920471i
\(163\) 5.72369 + 8.56610i 0.448314 + 0.670949i 0.984945 0.172868i \(-0.0553034\pi\)
−0.536631 + 0.843817i \(0.680303\pi\)
\(164\) 0.490993 + 2.06375i 0.0383401 + 0.161152i
\(165\) 6.91051 5.49952i 0.537983 0.428137i
\(166\) 9.43832 + 7.45627i 0.732556 + 0.578718i
\(167\) −7.74516 5.94307i −0.599338 0.459888i 0.263994 0.964524i \(-0.414960\pi\)
−0.863332 + 0.504636i \(0.831627\pi\)
\(168\) −10.9068 5.71713i −0.841478 0.441086i
\(169\) 0.745418 0.571979i 0.0573398 0.0439984i
\(170\) −0.0725597 + 5.14046i −0.00556508 + 0.394255i
\(171\) 3.08373 1.16998i 0.235819 0.0894703i
\(172\) 2.28373 1.43439i 0.174132 0.109371i
\(173\) −13.9844 12.2639i −1.06321 0.932411i −0.0653549 0.997862i \(-0.520818\pi\)
−0.997856 + 0.0654513i \(0.979151\pi\)
\(174\) 16.4043 + 6.72631i 1.24361 + 0.509920i
\(175\) 0.402104 1.50067i 0.0303962 0.113440i
\(176\) −6.00071 7.67636i −0.452321 0.578628i
\(177\) −1.52103 6.99750i −0.114327 0.525964i
\(178\) 15.9947 7.60896i 1.19885 0.570316i
\(179\) −11.0445 2.19689i −0.825505 0.164203i −0.235779 0.971807i \(-0.575764\pi\)
−0.589726 + 0.807604i \(0.700764\pi\)
\(180\) 2.36221 12.3357i 0.176068 0.919449i
\(181\) −5.90577 + 8.83860i −0.438972 + 0.656968i −0.983318 0.181892i \(-0.941778\pi\)
0.544346 + 0.838861i \(0.316778\pi\)
\(182\) −3.02658 11.9686i −0.224345 0.887171i
\(183\) −2.02620 + 4.29878i −0.149781 + 0.317775i
\(184\) −0.0186075 0.0635342i −0.00137176 0.00468380i
\(185\) 10.6855 13.9256i 0.785611 1.02383i
\(186\) −21.3500 + 1.47599i −1.56546 + 0.108225i
\(187\) −1.35972 + 4.00561i −0.0994326 + 0.292919i
\(188\) 3.13709 1.19685i 0.228796 0.0872890i
\(189\) 1.01562 13.0218i 0.0738756 0.947198i
\(190\) −2.73141 + 1.76982i −0.198157 + 0.128396i
\(191\) −2.26457 + 3.92236i −0.163859 + 0.283812i −0.936249 0.351336i \(-0.885727\pi\)
0.772391 + 0.635148i \(0.219061\pi\)
\(192\) −13.5860 2.72430i −0.980482 0.196610i
\(193\) 6.06296 + 10.5014i 0.436421 + 0.755904i 0.997410 0.0719191i \(-0.0229123\pi\)
−0.560989 + 0.827823i \(0.689579\pi\)
\(194\) 2.02047 + 1.03209i 0.145061 + 0.0740998i
\(195\) 10.7914 6.48759i 0.772791 0.464586i
\(196\) −1.34580 0.215981i −0.0961283 0.0154272i
\(197\) 21.0929 4.19564i 1.50281 0.298927i 0.626020 0.779807i \(-0.284683\pi\)
0.876786 + 0.480880i \(0.159683\pi\)
\(198\) 4.97581 9.05777i 0.353616 0.643708i
\(199\) −4.76331 11.4996i −0.337662 0.815189i −0.997939 0.0641665i \(-0.979561\pi\)
0.660277 0.751022i \(-0.270439\pi\)
\(200\) −0.0403900 1.74769i −0.00285601 0.123580i
\(201\) −15.2334 21.9479i −1.07448 1.54809i
\(202\) 3.95848 + 1.12079i 0.278518 + 0.0788582i
\(203\) −18.1553 1.18996i −1.27425 0.0835188i
\(204\) 2.24340 + 5.58176i 0.157070 + 0.390801i
\(205\) 1.46396 1.66933i 0.102247 0.116591i
\(206\) −19.9695 13.7548i −1.39134 0.958341i
\(207\) 0.0541616 0.0446901i 0.00376449 0.00310618i
\(208\) −7.05352 11.9672i −0.489073 0.829778i
\(209\) −2.58676 + 0.693119i −0.178930 + 0.0479441i
\(210\) 1.72799 + 12.7725i 0.119243 + 0.881388i
\(211\) −5.48643 + 1.86239i −0.377702 + 0.128212i −0.503833 0.863801i \(-0.668077\pi\)
0.126131 + 0.992014i \(0.459744\pi\)
\(212\) −2.19641 + 4.15401i −0.150850 + 0.285299i
\(213\) 1.62982 14.3346i 0.111674 0.982194i
\(214\) 2.07338 + 1.23641i 0.141733 + 0.0845192i
\(215\) −2.60778 1.08018i −0.177849 0.0736676i
\(216\) −3.02159 14.3830i −0.205593 0.978638i
\(217\) 20.2899 8.40436i 1.37737 0.570525i
\(218\) −3.09390 + 21.1854i −0.209545 + 1.43485i
\(219\) 20.4706 16.2909i 1.38328 1.10084i
\(220\) −2.91643 + 9.77212i −0.196625 + 0.658836i
\(221\) −2.66738 + 5.40890i −0.179427 + 0.363842i
\(222\) 5.24508 19.8585i 0.352027 1.33281i
\(223\) −1.48589 0.857881i −0.0995028 0.0574480i 0.449423 0.893319i \(-0.351630\pi\)
−0.548926 + 0.835871i \(0.684963\pi\)
\(224\) 14.1071 1.78377i 0.942569 0.119183i
\(225\) 1.68689 0.769716i 0.112459 0.0513144i
\(226\) −26.1388 5.58398i −1.73873 0.371441i
\(227\) −2.95854 + 0.193913i −0.196365 + 0.0128705i −0.163268 0.986582i \(-0.552204\pi\)
−0.0330968 + 0.999452i \(0.510537\pi\)
\(228\) −2.14913 + 3.14414i −0.142329 + 0.208226i
\(229\) 5.14452 4.51162i 0.339959 0.298136i −0.472294 0.881441i \(-0.656574\pi\)
0.812253 + 0.583305i \(0.198241\pi\)
\(230\) −0.0429537 + 0.0543719i −0.00283228 + 0.00358518i
\(231\) −1.88469 + 10.4364i −0.124003 + 0.686667i
\(232\) −19.9815 + 4.45685i −1.31185 + 0.292606i
\(233\) 26.1523 + 10.8326i 1.71329 + 0.709669i 0.999961 + 0.00884299i \(0.00281485\pi\)
0.713332 + 0.700826i \(0.247185\pi\)
\(234\) 8.71889 11.8772i 0.569972 0.776439i
\(235\) −2.92203 1.95244i −0.190612 0.127363i
\(236\) 6.06038 + 5.62523i 0.394497 + 0.366171i
\(237\) 3.91906 15.7342i 0.254571 1.02205i
\(238\) −4.00444 4.69833i −0.259569 0.304548i
\(239\) −6.87041 + 25.6407i −0.444410 + 1.65856i 0.273081 + 0.961991i \(0.411957\pi\)
−0.717491 + 0.696568i \(0.754709\pi\)
\(240\) 5.90546 + 13.2461i 0.381196 + 0.855030i
\(241\) 2.32040 + 8.65984i 0.149470 + 0.557830i 0.999516 + 0.0311206i \(0.00990759\pi\)
−0.850046 + 0.526709i \(0.823426\pi\)
\(242\) 4.06446 5.90086i 0.261273 0.379322i
\(243\) 12.7588 8.95614i 0.818479 0.574537i
\(244\) −0.918232 5.41019i −0.0587837 0.346352i
\(245\) 0.630972 + 1.27948i 0.0403113 + 0.0817432i
\(246\) 0.826341 2.46320i 0.0526856 0.157048i
\(247\) −3.78537 + 0.498353i −0.240857 + 0.0317095i
\(248\) 19.2523 15.4925i 1.22252 0.983775i
\(249\) −4.98127 13.8638i −0.315675 0.878580i
\(250\) −13.3363 + 9.93745i −0.843464 + 0.628500i
\(251\) 7.80384 1.55228i 0.492574 0.0979791i 0.0574478 0.998349i \(-0.481704\pi\)
0.435126 + 0.900369i \(0.356704\pi\)
\(252\) 7.63414 + 13.0071i 0.480905 + 0.819373i
\(253\) −0.0474059 + 0.0316756i −0.00298038 + 0.00199143i
\(254\) −12.7918 + 0.657251i −0.802632 + 0.0412396i
\(255\) 3.40494 5.29630i 0.213225 0.331667i
\(256\) 14.6696 6.38777i 0.916848 0.399236i
\(257\) −2.29305 3.97168i −0.143037 0.247747i 0.785602 0.618732i \(-0.212353\pi\)
−0.928639 + 0.370985i \(0.879020\pi\)
\(258\) −3.30290 + 0.0118025i −0.205630 + 0.000734789i
\(259\) 1.37854 + 21.0324i 0.0856582 + 1.30689i
\(260\) −5.94088 + 13.2702i −0.368438 + 0.822982i
\(261\) −12.6949 17.6169i −0.785795 1.09046i
\(262\) 8.27126 + 3.56366i 0.511000 + 0.220163i
\(263\) −25.7214 3.38628i −1.58605 0.208807i −0.714685 0.699447i \(-0.753430\pi\)
−0.871363 + 0.490640i \(0.836763\pi\)
\(264\) 1.26545 + 11.8660i 0.0778833 + 0.730300i
\(265\) 4.87609 0.641949i 0.299536 0.0394346i
\(266\) 1.06470 3.76041i 0.0652812 0.230565i
\(267\) −21.5542 2.45067i −1.31909 0.149978i
\(268\) 28.9208 + 10.7368i 1.76662 + 0.655856i
\(269\) −10.5116 2.09088i −0.640901 0.127483i −0.136067 0.990700i \(-0.543446\pi\)
−0.504834 + 0.863216i \(0.668446\pi\)
\(270\) −10.4453 + 11.2924i −0.635683 + 0.687236i
\(271\) −16.3725 + 16.3725i −0.994561 + 0.994561i −0.999985 0.00542439i \(-0.998273\pi\)
0.00542439 + 0.999985i \(0.498273\pi\)
\(272\) −5.81015 3.80710i −0.352292 0.230839i
\(273\) −4.60614 + 14.4012i −0.278776 + 0.871600i
\(274\) 3.21367 + 3.77055i 0.194145 + 0.227787i
\(275\) −1.42563 + 0.483936i −0.0859687 + 0.0291824i
\(276\) −0.0218099 + 0.0780934i −0.00131280 + 0.00470067i
\(277\) −17.8515 + 8.80340i −1.07259 + 0.528945i −0.890802 0.454392i \(-0.849857\pi\)
−0.181792 + 0.983337i \(0.558190\pi\)
\(278\) 15.7417 + 0.222200i 0.944122 + 0.0133267i
\(279\) 23.1485 + 12.2943i 1.38586 + 0.736043i
\(280\) −10.0688 10.9598i −0.601727 0.654972i
\(281\) 1.33329 10.1273i 0.0795372 0.604145i −0.904538 0.426393i \(-0.859784\pi\)
0.984075 0.177752i \(-0.0568826\pi\)
\(282\) −4.03608 0.787845i −0.240345 0.0469155i
\(283\) 20.0088 17.5472i 1.18940 1.04307i 0.191294 0.981533i \(-0.438732\pi\)
0.998105 0.0615415i \(-0.0196017\pi\)
\(284\) 7.91891 + 14.6564i 0.469901 + 0.869695i
\(285\) 3.98551 0.0705024i 0.236081 0.00417620i
\(286\) −8.01409 + 8.88223i −0.473883 + 0.525217i
\(287\) 2.66618i 0.157380i
\(288\) 12.3575 + 11.6315i 0.728172 + 0.685394i
\(289\) 13.9843i 0.822603i
\(290\) 15.9092 + 14.3542i 0.934218 + 0.842908i
\(291\) −1.43170 2.38149i −0.0839280 0.139605i
\(292\) −8.63916 + 28.9474i −0.505569 + 1.69402i
\(293\) 0.692027 0.606891i 0.0404286 0.0354550i −0.638893 0.769295i \(-0.720607\pi\)
0.679322 + 0.733841i \(0.262274\pi\)
\(294\) 1.25901 + 1.09619i 0.0734268 + 0.0639308i
\(295\) 1.12963 8.58042i 0.0657698 0.499571i
\(296\) 8.14041 + 22.2762i 0.473152 + 1.29478i
\(297\) −11.0389 + 6.19231i −0.640544 + 0.359314i
\(298\) 0.331212 23.4646i 0.0191866 1.35927i
\(299\) −0.0729029 + 0.0359517i −0.00421608 + 0.00207914i
\(300\) −1.09001 + 1.84281i −0.0629317 + 0.106395i
\(301\) 3.20958 1.08950i 0.184997 0.0627980i
\(302\) 20.9535 17.8589i 1.20574 1.02767i
\(303\) −3.38873 3.72895i −0.194678 0.214222i
\(304\) −0.0395426 4.39745i −0.00226792 0.252211i
\(305\) −4.06132 + 4.06132i −0.232550 + 0.232550i
\(306\) 1.28342 7.25508i 0.0733683 0.414745i
\(307\) 13.6674 + 2.71862i 0.780042 + 0.155160i 0.569022 0.822322i \(-0.307322\pi\)
0.211019 + 0.977482i \(0.432322\pi\)
\(308\) −5.10406 11.1315i −0.290831 0.634276i
\(309\) 11.8484 + 27.2319i 0.674030 + 1.54917i
\(310\) −24.8863 7.04621i −1.41345 0.400198i
\(311\) 2.48994 0.327807i 0.141192 0.0185882i −0.0595990 0.998222i \(-0.518982\pi\)
0.200791 + 0.979634i \(0.435649\pi\)
\(312\) −0.419429 + 17.0081i −0.0237455 + 0.962892i
\(313\) −21.6148 2.84564i −1.22174 0.160845i −0.508064 0.861319i \(-0.669639\pi\)
−0.713678 + 0.700474i \(0.752972\pi\)
\(314\) −5.48006 + 12.7193i −0.309258 + 0.717789i
\(315\) 6.47669 14.3957i 0.364920 0.811108i
\(316\) 6.67405 + 17.4935i 0.375444 + 0.984088i
\(317\) 0.961465 + 14.6691i 0.0540012 + 0.823900i 0.935857 + 0.352380i \(0.114628\pi\)
−0.881856 + 0.471519i \(0.843706\pi\)
\(318\) 4.97367 2.89529i 0.278909 0.162360i
\(319\) 8.81557 + 15.2690i 0.493577 + 0.854901i
\(320\) −14.3391 8.65065i −0.801580 0.483586i
\(321\) −1.35436 2.62814i −0.0755931 0.146688i
\(322\) −0.00426953 0.0830963i −0.000237932 0.00463078i
\(323\) −1.58746 + 1.06070i −0.0883284 + 0.0590192i
\(324\) −6.17515 + 16.9076i −0.343064 + 0.939312i
\(325\) −2.10519 + 0.418748i −0.116775 + 0.0232279i
\(326\) 8.70547 + 11.6830i 0.482151 + 0.647061i
\(327\) 16.9379 20.0174i 0.936669 1.10696i
\(328\) 0.843215 + 2.87911i 0.0465587 + 0.158972i
\(329\) 4.18389 0.550819i 0.230665 0.0303677i
\(330\) 9.36098 8.26872i 0.515305 0.455178i
\(331\) −15.3217 31.0694i −0.842157 1.70773i −0.695485 0.718541i \(-0.744810\pi\)
−0.146672 0.989185i \(-0.546856\pi\)
\(332\) 13.8713 + 9.84595i 0.761287 + 0.540367i
\(333\) −18.3145 + 17.2448i −1.00363 + 0.945009i
\(334\) −11.3701 7.83165i −0.622147 0.428529i
\(335\) −8.35694 31.1885i −0.456588 1.70401i
\(336\) −15.8191 7.28312i −0.863002 0.397327i
\(337\) 4.21156 15.7178i 0.229418 0.856201i −0.751168 0.660111i \(-0.770509\pi\)
0.980586 0.196089i \(-0.0628243\pi\)
\(338\) 1.01128 0.861928i 0.0550066 0.0468827i
\(339\) 23.5535 + 22.7346i 1.27925 + 1.23478i
\(340\) 0.270549 + 7.26539i 0.0146726 + 0.394021i
\(341\) −17.6953 11.8236i −0.958255 0.640285i
\(342\) 4.27041 1.87619i 0.230917 0.101453i
\(343\) −17.8389 7.38912i −0.963211 0.398975i
\(344\) 3.12133 2.19159i 0.168291 0.118162i
\(345\) 0.0798657 0.0286959i 0.00429983 0.00154493i
\(346\) −20.6408 16.3062i −1.10965 0.876626i
\(347\) −4.50415 + 3.95003i −0.241795 + 0.212049i −0.771663 0.636031i \(-0.780575\pi\)
0.529868 + 0.848080i \(0.322242\pi\)
\(348\) 23.6567 + 8.30949i 1.26813 + 0.445435i
\(349\) −5.87610 + 0.385140i −0.314540 + 0.0206161i −0.221856 0.975079i \(-0.571211\pi\)
−0.0926844 + 0.995696i \(0.529545\pi\)
\(350\) 0.459012 2.14866i 0.0245352 0.114850i
\(351\) −16.7559 + 6.69860i −0.894364 + 0.357545i
\(352\) −9.03216 10.4063i −0.481416 0.554656i
\(353\) 31.5125 + 18.1938i 1.67724 + 0.968356i 0.963407 + 0.268041i \(0.0863764\pi\)
0.713834 + 0.700315i \(0.246957\pi\)
\(354\) −2.65601 9.77255i −0.141165 0.519405i
\(355\) 7.71177 15.6379i 0.409298 0.829975i
\(356\) 22.0379 11.9072i 1.16801 0.631081i
\(357\) 1.11930 + 7.47743i 0.0592398 + 0.395748i
\(358\) −15.7581 2.30131i −0.832843 0.121628i
\(359\) 17.3746 7.19679i 0.916996 0.379832i 0.126265 0.991996i \(-0.459701\pi\)
0.790731 + 0.612164i \(0.209701\pi\)
\(360\) 2.44109 17.5938i 0.128657 0.927272i
\(361\) 16.4370 + 6.80844i 0.865106 + 0.358339i
\(362\) −7.69962 + 12.9118i −0.404683 + 0.678628i
\(363\) −8.04687 + 3.50112i −0.422351 + 0.183761i
\(364\) −5.14313 16.6842i −0.269573 0.874490i
\(365\) 29.9404 10.1634i 1.56715 0.531977i
\(366\) −2.54976 + 6.21841i −0.133278 + 0.325042i
\(367\) −32.3787 + 8.67585i −1.69015 + 0.452876i −0.970430 0.241384i \(-0.922399\pi\)
−0.719725 + 0.694260i \(0.755732\pi\)
\(368\) −0.0308908 0.0883823i −0.00161029 0.00460725i
\(369\) −2.45438 + 2.02517i −0.127770 + 0.105426i
\(370\) 14.0811 20.4432i 0.732041 1.06279i
\(371\) −3.89395 + 4.44020i −0.202164 + 0.230523i
\(372\) −30.0466 + 3.63393i −1.55784 + 0.188411i
\(373\) −10.3927 0.681174i −0.538114 0.0352699i −0.206076 0.978536i \(-0.566070\pi\)
−0.332038 + 0.943266i \(0.607736\pi\)
\(374\) −1.62973 + 5.75599i −0.0842711 + 0.297635i
\(375\) 20.2991 1.69152i 1.04824 0.0873499i
\(376\) 4.34382 1.91802i 0.224015 0.0989142i
\(377\) 9.61940 + 23.2233i 0.495424 + 1.19606i
\(378\) 0.489455 18.4651i 0.0251748 0.949741i
\(379\) 37.6598 7.49100i 1.93445 0.384787i 0.934899 0.354914i \(-0.115490\pi\)
0.999554 0.0298727i \(-0.00951019\pi\)
\(380\) −3.72927 + 2.69782i −0.191308 + 0.138395i
\(381\) 13.7223 + 7.60219i 0.703015 + 0.389472i
\(382\) −2.91374 + 5.70407i −0.149080 + 0.291846i
\(383\) −5.71178 9.89309i −0.291858 0.505513i 0.682391 0.730987i \(-0.260940\pi\)
−0.974249 + 0.225474i \(0.927607\pi\)
\(384\) −19.3858 2.86177i −0.989279 0.146039i
\(385\) −6.40860 + 11.1000i −0.326612 + 0.565709i
\(386\) 9.32508 + 14.3916i 0.474634 + 0.732514i
\(387\) 3.44088 + 2.12705i 0.174910 + 0.108124i
\(388\) 2.92851 + 1.31105i 0.148673 + 0.0665587i
\(389\) 7.75754 22.8530i 0.393323 1.15869i −0.552361 0.833605i \(-0.686273\pi\)
0.945684 0.325087i \(-0.105393\pi\)
\(390\) 14.7705 9.94586i 0.747933 0.503628i
\(391\) −0.0247444 + 0.0322475i −0.00125138 + 0.00163083i
\(392\) −1.91641 0.207380i −0.0967933 0.0104743i
\(393\) −6.28943 9.06163i −0.317260 0.457099i
\(394\) 29.4861 7.45637i 1.48549 0.375646i
\(395\) 10.8875 16.2943i 0.547808 0.819853i
\(396\) 6.37029 13.1538i 0.320119 0.661005i
\(397\) −5.27663 1.04959i −0.264826 0.0526772i 0.0608910 0.998144i \(-0.480606\pi\)
−0.325717 + 0.945467i \(0.605606\pi\)
\(398\) −7.56196 15.8959i −0.379047 0.796788i
\(399\) −3.54236 + 3.21917i −0.177340 + 0.161160i
\(400\) −0.183870 2.46542i −0.00919350 0.123271i
\(401\) −0.175607 + 0.655374i −0.00876939 + 0.0327278i −0.970172 0.242418i \(-0.922059\pi\)
0.961403 + 0.275146i \(0.0887261\pi\)
\(402\) −23.1077 29.8927i −1.15251 1.49091i
\(403\) −22.8121 20.0057i −1.13635 0.996553i
\(404\) 5.67209 + 1.29569i 0.282197 + 0.0644628i
\(405\) 18.1717 4.97249i 0.902959 0.247085i
\(406\) −25.7280 0.363161i −1.27686 0.0180234i
\(407\) 16.2044 12.4341i 0.803224 0.616335i
\(408\) 3.57353 + 7.72060i 0.176916 + 0.382227i
\(409\) −20.7037 15.8865i −1.02373 0.785539i −0.0467623 0.998906i \(-0.514890\pi\)
−0.976972 + 0.213367i \(0.931557\pi\)
\(410\) 1.94649 2.46391i 0.0961301 0.121684i
\(411\) −0.898272 6.00085i −0.0443085 0.296000i
\(412\) −29.2020 17.9774i −1.43868 0.885685i
\(413\) 5.77368 + 8.64093i 0.284104 + 0.425192i
\(414\) 0.0732522 0.0670485i 0.00360015 0.00329525i
\(415\) 17.8041i 0.873967i
\(416\) −10.8305 16.3901i −0.531007 0.803589i
\(417\) −16.2189 10.4270i −0.794242 0.510610i
\(418\) −3.60311 + 1.16664i −0.176234 + 0.0570623i
\(419\) −13.8070 + 27.9979i −0.674517 + 1.36779i 0.242975 + 0.970032i \(0.421877\pi\)
−0.917492 + 0.397753i \(0.869790\pi\)
\(420\) 3.36739 + 17.9139i 0.164312 + 0.874108i
\(421\) 3.98090 + 1.35133i 0.194017 + 0.0658599i 0.416757 0.909018i \(-0.363167\pi\)
−0.222740 + 0.974878i \(0.571500\pi\)
\(422\) −7.61362 + 3.02849i −0.370625 + 0.147425i
\(423\) 3.68505 + 3.43314i 0.179173 + 0.166925i
\(424\) −2.80066 + 6.02631i −0.136012 + 0.292664i
\(425\) −0.851528 + 0.653401i −0.0413052 + 0.0316946i
\(426\) 1.26165 20.3638i 0.0611273 0.986630i
\(427\) 0.451081 6.88216i 0.0218293 0.333051i
\(428\) 3.01806 + 1.59578i 0.145884 + 0.0771351i
\(429\) 14.0834 4.04193i 0.679953 0.195146i
\(430\) −3.76149 1.33635i −0.181395 0.0644446i
\(431\) 6.31967 + 6.31967i 0.304408 + 0.304408i 0.842736 0.538328i \(-0.180944\pi\)
−0.538328 + 0.842736i \(0.680944\pi\)
\(432\) −5.31127 20.0945i −0.255539 0.966799i
\(433\) −9.05059 + 9.05059i −0.434943 + 0.434943i −0.890306 0.455363i \(-0.849510\pi\)
0.455363 + 0.890306i \(0.349510\pi\)
\(434\) 28.0466 13.3423i 1.34628 0.640450i
\(435\) −7.23958 25.2251i −0.347111 1.20945i
\(436\) −2.83230 + 30.1457i −0.135643 + 1.44372i
\(437\) −0.0256779 0.00168302i −0.00122834 8.05098e-5i
\(438\) 27.7295 24.4940i 1.32497 1.17037i
\(439\) 7.34547 + 9.57280i 0.350580 + 0.456885i 0.935042 0.354536i \(-0.115361\pi\)
−0.584462 + 0.811421i \(0.698694\pi\)
\(440\) −3.40988 + 14.0133i −0.162560 + 0.668057i
\(441\) −0.598678 1.95491i −0.0285085 0.0930909i
\(442\) −3.37476 + 7.83283i −0.160521 + 0.372570i
\(443\) 0.175222 0.516189i 0.00832507 0.0245249i −0.942688 0.333675i \(-0.891711\pi\)
0.951013 + 0.309150i \(0.100045\pi\)
\(444\) 5.96681 28.4278i 0.283172 1.34912i
\(445\) −23.5138 11.5957i −1.11466 0.549691i
\(446\) −2.16086 1.10380i −0.102320 0.0522665i
\(447\) −15.5425 + 24.1759i −0.735133 + 1.14348i
\(448\) 19.7947 3.54301i 0.935212 0.167392i
\(449\) 13.6903 0.646085 0.323043 0.946384i \(-0.395294\pi\)
0.323043 + 0.946384i \(0.395294\pi\)
\(450\) 2.32662 1.20952i 0.109678 0.0570174i
\(451\) 2.14824 1.43541i 0.101157 0.0675908i
\(452\) −37.3224 5.98971i −1.75550 0.281732i
\(453\) −33.3477 + 4.99185i −1.56681 + 0.234537i
\(454\) −4.16442 + 0.488566i −0.195446 + 0.0229295i
\(455\) −11.1242 + 14.4973i −0.521510 + 0.679644i
\(456\) −2.80716 + 4.59658i −0.131457 + 0.215255i
\(457\) −5.96661 7.77583i −0.279106 0.363738i 0.632673 0.774419i \(-0.281958\pi\)
−0.911779 + 0.410681i \(0.865291\pi\)
\(458\) 6.93846 6.74531i 0.324213 0.315188i
\(459\) −6.03324 + 6.71007i −0.281607 + 0.313199i
\(460\) −0.0567201 + 0.0799092i −0.00264459 + 0.00372578i
\(461\) −18.6125 + 21.2234i −0.866869 + 0.988474i −0.999997 0.00262469i \(-0.999165\pi\)
0.133128 + 0.991099i \(0.457498\pi\)
\(462\) −1.90450 + 14.8767i −0.0886051 + 0.692125i
\(463\) −31.6634 8.48419i −1.47152 0.394294i −0.568071 0.822980i \(-0.692310\pi\)
−0.903454 + 0.428686i \(0.858977\pi\)
\(464\) −27.8975 + 7.74463i −1.29511 + 0.359536i
\(465\) 21.3044 + 23.4433i 0.987970 + 1.08716i
\(466\) 37.7223 + 13.4017i 1.74745 + 0.620820i
\(467\) −3.00039 + 15.0840i −0.138841 + 0.698003i 0.847170 + 0.531323i \(0.178305\pi\)
−0.986011 + 0.166680i \(0.946695\pi\)
\(468\) 11.4522 17.4075i 0.529380 0.804663i
\(469\) 32.2382 + 21.5409i 1.48862 + 0.994666i
\(470\) −4.26861 2.54548i −0.196896 0.117414i
\(471\) 13.9347 9.67166i 0.642075 0.445646i
\(472\) 8.96759 + 7.50501i 0.412767 + 0.345446i
\(473\) −2.60581 1.99951i −0.119815 0.0919376i
\(474\) 4.39330 22.5066i 0.201791 1.03376i
\(475\) −0.643445 0.218420i −0.0295233 0.0100218i
\(476\) −5.99662 6.34510i −0.274854 0.290827i
\(477\) −7.04523 0.211943i −0.322579 0.00970422i
\(478\) −7.84274 + 36.7122i −0.358719 + 1.67918i
\(479\) 21.5231 + 12.4264i 0.983417 + 0.567776i 0.903300 0.429009i \(-0.141137\pi\)
0.0801173 + 0.996785i \(0.474471\pi\)
\(480\) 9.30182 + 18.2795i 0.424568 + 0.834343i
\(481\) 25.2189 14.5601i 1.14988 0.663884i
\(482\) 3.90564 + 12.0624i 0.177897 + 0.549425i
\(483\) −0.0493841 + 0.0891406i −0.00224706 + 0.00405604i
\(484\) 5.31223 8.62903i 0.241465 0.392229i
\(485\) −0.655168 3.29375i −0.0297496 0.149562i
\(486\) 17.3700 13.5751i 0.787920 0.615778i
\(487\) −5.52212 + 2.28734i −0.250231 + 0.103649i −0.504274 0.863544i \(-0.668240\pi\)
0.254043 + 0.967193i \(0.418240\pi\)
\(488\) −1.68947 7.57445i −0.0764786 0.342879i
\(489\) −1.48182 17.7826i −0.0670101 0.804156i
\(490\) 0.984002 + 1.76129i 0.0444527 + 0.0795671i
\(491\) −1.47833 + 22.5550i −0.0667161 + 1.01789i 0.824952 + 0.565202i \(0.191202\pi\)
−0.891669 + 0.452689i \(0.850465\pi\)
\(492\) 0.988335 3.53887i 0.0445576 0.159545i
\(493\) 9.45038 + 8.28776i 0.425624 + 0.373262i
\(494\) −5.31010 + 0.978543i −0.238913 + 0.0440267i
\(495\) −15.0861 + 2.53182i −0.678068 + 0.113797i
\(496\) 26.0668 23.2779i 1.17043 1.04521i
\(497\) 5.41899 + 20.2240i 0.243075 + 0.907168i
\(498\) −8.04135 19.2190i −0.360342 0.861224i
\(499\) −4.48881 13.2236i −0.200947 0.591971i 0.799009 0.601319i \(-0.205358\pi\)
−0.999956 + 0.00934798i \(0.997024\pi\)
\(500\) −18.1145 + 15.0030i −0.810103 + 0.670952i
\(501\) 6.74618 + 15.5052i 0.301397 + 0.692722i
\(502\) 10.9091 2.75867i 0.486898 0.123125i
\(503\) 5.08410 12.2741i 0.226689 0.547275i −0.769082 0.639150i \(-0.779286\pi\)
0.995771 + 0.0918755i \(0.0292862\pi\)
\(504\) 11.7260 + 17.8167i 0.522316 + 0.793617i
\(505\) −2.33040 5.62609i −0.103702 0.250358i
\(506\) −0.0646551 + 0.0481772i −0.00287427 + 0.00214174i
\(507\) −1.60947 + 0.240922i −0.0714789 + 0.0106997i
\(508\) −18.0189 + 1.85654i −0.799458 + 0.0823706i
\(509\) −3.09218 1.52489i −0.137058 0.0675898i 0.372466 0.928046i \(-0.378512\pi\)
−0.509525 + 0.860456i \(0.670179\pi\)
\(510\) 4.42463 7.72731i 0.195926 0.342171i
\(511\) −18.9838 + 32.8809i −0.839795 + 1.45457i
\(512\) 20.2550 10.0863i 0.895155 0.445756i
\(513\) −5.65414 0.815750i −0.249636 0.0360162i
\(514\) −3.52681 5.44301i −0.155561 0.240081i
\(515\) 2.34744 + 35.8151i 0.103441 + 1.57820i
\(516\) −4.66400 + 0.256352i −0.205321 + 0.0112853i
\(517\) −2.69632 3.07456i −0.118584 0.135219i
\(518\) 3.47325 + 29.6051i 0.152606 + 1.30077i
\(519\) 10.8936 + 30.3188i 0.478175 + 1.33085i
\(520\) −7.42762 + 19.1733i −0.325723 + 0.840803i
\(521\) −11.1188 + 26.8431i −0.487122 + 1.17602i 0.469039 + 0.883177i \(0.344600\pi\)
−0.956161 + 0.292840i \(0.905400\pi\)
\(522\) −19.2081 23.9600i −0.840714 1.04870i
\(523\) −5.81777 + 8.70692i −0.254394 + 0.380727i −0.936581 0.350450i \(-0.886029\pi\)
0.682188 + 0.731177i \(0.261029\pi\)
\(524\) 11.9405 + 4.43291i 0.521624 + 0.193653i
\(525\) −1.86882 + 1.93613i −0.0815622 + 0.0844998i
\(526\) −36.5733 2.91609i −1.59467 0.127147i
\(527\) −14.6555 3.92692i −0.638402 0.171059i
\(528\) 2.64835 + 16.6671i 0.115254 + 0.725342i
\(529\) 22.2158 5.95270i 0.965903 0.258813i
\(530\) 6.84016 1.26050i 0.297118 0.0547527i
\(531\) −3.56894 + 11.8785i −0.154879 + 0.515482i
\(532\) 1.23085 5.38828i 0.0533643 0.233611i
\(533\) 3.30366 1.62918i 0.143097 0.0705678i
\(534\) −30.6199 1.89707i −1.32505 0.0820944i
\(535\) −0.466402 3.54268i −0.0201643 0.153163i
\(536\) 41.6254 + 13.0654i 1.79795 + 0.564341i
\(537\) 14.8894 + 12.5988i 0.642523 + 0.543677i
\(538\) −14.9977 2.19026i −0.646599 0.0944288i
\(539\) 0.323862 + 1.62817i 0.0139497 + 0.0701300i
\(540\) −13.9330 + 16.7069i −0.599582 + 0.718949i
\(541\) −2.87660 4.30514i −0.123675 0.185092i 0.764466 0.644664i \(-0.223003\pi\)
−0.888141 + 0.459572i \(0.848003\pi\)
\(542\) −21.9357 + 24.3119i −0.942217 + 1.04428i
\(543\) 16.3665 8.43415i 0.702353 0.361944i
\(544\) −8.48224 4.95533i −0.363673 0.212458i
\(545\) 27.4453 15.8455i 1.17563 0.678748i
\(546\) −5.46042 + 20.6738i −0.233685 + 0.884757i
\(547\) −25.2875 + 1.65743i −1.08121 + 0.0708665i −0.595580 0.803296i \(-0.703078\pi\)
−0.485634 + 0.874162i \(0.661411\pi\)
\(548\) 4.81245 + 5.09212i 0.205578 + 0.217525i
\(549\) 6.67808 4.81229i 0.285014 0.205383i
\(550\) −1.97837 + 0.786941i −0.0843580 + 0.0335553i
\(551\) −1.03868 + 7.88958i −0.0442494 + 0.336107i
\(552\) −0.0251362 + 0.111878i −0.00106987 + 0.00476184i
\(553\) 3.07157 + 23.3309i 0.130616 + 0.992129i
\(554\) −24.5738 + 13.7289i −1.04404 + 0.583286i
\(555\) −27.8779 + 12.1294i −1.18335 + 0.514866i
\(556\) 22.2489 0.828505i 0.943562 0.0351364i
\(557\) 7.03405 35.3626i 0.298042 1.49836i −0.483963 0.875088i \(-0.660803\pi\)
0.782005 0.623272i \(-0.214197\pi\)
\(558\) 33.5860 + 15.6841i 1.42181 + 0.663961i
\(559\) −3.31123 3.31123i −0.140050 0.140050i
\(560\) −15.0160 14.7484i −0.634543 0.623233i
\(561\) 5.42223 4.92753i 0.228927 0.208041i
\(562\) 1.14816 14.4001i 0.0484321 0.607431i
\(563\) 1.15037 + 3.38887i 0.0484822 + 0.142824i 0.968475 0.249112i \(-0.0801388\pi\)
−0.919992 + 0.391936i \(0.871805\pi\)
\(564\) −5.75754 0.819825i −0.242436 0.0345209i
\(565\) 17.4985 + 35.4834i 0.736167 + 1.49280i
\(566\) 26.9861 26.2348i 1.13431 1.10273i
\(567\) −12.4687 + 18.8767i −0.523638 + 0.792745i
\(568\) 12.2479 + 20.1253i 0.513908 + 0.844437i
\(569\) 41.5289 + 5.46739i 1.74098 + 0.229205i 0.932968 0.359958i \(-0.117209\pi\)
0.808014 + 0.589163i \(0.200542\pi\)
\(570\) 5.62382 0.388792i 0.235556 0.0162847i
\(571\) 9.13312 + 10.4143i 0.382209 + 0.435826i 0.910672 0.413130i \(-0.135565\pi\)
−0.528463 + 0.848957i \(0.677231\pi\)
\(572\) −10.6741 + 13.1264i −0.446308 + 0.548842i
\(573\) 6.72328 4.04190i 0.280869 0.168853i
\(574\) 0.193478 + 3.76558i 0.00807560 + 0.157172i
\(575\) −0.0144667 −0.000603301
\(576\) 18.2972 + 15.5310i 0.762382 + 0.647127i
\(577\) −33.0637 −1.37646 −0.688230 0.725493i \(-0.741612\pi\)
−0.688230 + 0.725493i \(0.741612\pi\)
\(578\) −1.01480 19.7507i −0.0422101 0.821520i
\(579\) −0.371473 20.9994i −0.0154379 0.872706i
\(580\) 23.5110 + 19.1187i 0.976239 + 0.793861i
\(581\) 14.0963 + 16.0738i 0.584814 + 0.666853i
\(582\) −2.19489 3.25961i −0.0909810 0.135115i
\(583\) 5.67404 + 0.747001i 0.234995 + 0.0309376i
\(584\) −10.1009 + 41.5108i −0.417978 + 1.71773i
\(585\) −21.7953 + 0.771346i −0.901126 + 0.0318912i
\(586\) 0.933344 0.907362i 0.0385561 0.0374828i
\(587\) −1.45155 2.94345i −0.0599119 0.121489i 0.864857 0.502018i \(-0.167409\pi\)
−0.924769 + 0.380528i \(0.875742\pi\)
\(588\) 1.85771 + 1.45684i 0.0766105 + 0.0600789i
\(589\) −3.08756 9.09567i −0.127221 0.374781i
\(590\) 0.972781 12.2005i 0.0400488 0.502288i
\(591\) −35.4791 11.3478i −1.45942 0.466786i
\(592\) 13.1136 + 30.8710i 0.538967 + 1.26879i
\(593\) −0.469046 0.469046i −0.0192614 0.0192614i 0.697410 0.716672i \(-0.254335\pi\)
−0.716672 + 0.697410i \(0.754335\pi\)
\(594\) −15.1415 + 9.54678i −0.621263 + 0.391709i
\(595\) −1.78268 + 8.96212i −0.0730826 + 0.367411i
\(596\) −1.23497 33.1642i −0.0505864 1.35846i
\(597\) −2.43553 + 21.4211i −0.0996797 + 0.876705i
\(598\) −0.100355 + 0.0560668i −0.00410384 + 0.00229274i
\(599\) −2.91947 22.1756i −0.119286 0.906071i −0.941529 0.336933i \(-0.890610\pi\)
0.822242 0.569138i \(-0.192723\pi\)
\(600\) −1.40575 + 2.68180i −0.0573894 + 0.109484i
\(601\) 4.84556 36.8057i 0.197654 1.50133i −0.548831 0.835933i \(-0.684927\pi\)
0.746486 0.665401i \(-0.231740\pi\)
\(602\) 4.45399 1.77167i 0.181531 0.0722080i
\(603\) 4.65772 + 46.0392i 0.189677 + 1.87486i
\(604\) 28.2978 26.7436i 1.15142 1.08818i
\(605\) −10.5831 + 0.693656i −0.430266 + 0.0282011i
\(606\) −5.05668 5.02067i −0.205414 0.203951i
\(607\) 8.69746 5.02148i 0.353019 0.203816i −0.312995 0.949755i \(-0.601332\pi\)
0.666014 + 0.745939i \(0.267999\pi\)
\(608\) −0.374959 6.20787i −0.0152066 0.251762i
\(609\) 26.5079 + 17.0417i 1.07416 + 0.690564i
\(610\) −5.44129 + 6.03072i −0.220311 + 0.244177i
\(611\) −3.23911 4.84766i −0.131040 0.196115i
\(612\) 1.28616 10.3399i 0.0519899 0.417964i
\(613\) 8.61678 + 43.3195i 0.348028 + 1.74966i 0.617427 + 0.786628i \(0.288175\pi\)
−0.269398 + 0.963029i \(0.586825\pi\)
\(614\) 19.5005 + 2.84784i 0.786976 + 0.114929i
\(615\) −3.61919 + 1.30038i −0.145940 + 0.0524363i
\(616\) −8.01650 15.3512i −0.322994 0.618517i
\(617\) −1.62538 12.3460i −0.0654355 0.497032i −0.992511 0.122157i \(-0.961019\pi\)
0.927075 0.374875i \(-0.122314\pi\)
\(618\) 18.7102 + 37.6012i 0.752634 + 1.51254i
\(619\) −10.7160 + 5.28454i −0.430712 + 0.212404i −0.644705 0.764432i \(-0.723020\pi\)
0.213993 + 0.976835i \(0.431353\pi\)
\(620\) −35.6596 8.14578i −1.43212 0.327142i
\(621\) −0.119570 + 0.0222481i −0.00479820 + 0.000892786i
\(622\) 3.49288 0.643667i 0.140052 0.0258087i
\(623\) 30.4096 8.14822i 1.21833 0.326452i
\(624\) 0.641848 + 24.0518i 0.0256945 + 0.962842i
\(625\) 20.7941 + 5.57177i 0.831765 + 0.222871i
\(626\) −30.7342 2.45052i −1.22839 0.0979424i
\(627\) 4.50093 + 1.12109i 0.179750 + 0.0447719i
\(628\) −6.81677 + 18.3617i −0.272019 + 0.732712i
\(629\) 8.09002 12.1076i 0.322570 0.482761i
\(630\) 8.10269 20.8018i 0.322819 0.828765i
\(631\) 2.59939 6.27547i 0.103480 0.249823i −0.863656 0.504081i \(-0.831831\pi\)
0.967136 + 0.254258i \(0.0818313\pi\)
\(632\) 10.6956 + 24.2227i 0.425446 + 0.963527i
\(633\) 9.87562 + 1.78341i 0.392521 + 0.0708842i
\(634\) 2.42242 + 20.6482i 0.0962067 + 0.820043i
\(635\) 12.5008 + 14.2544i 0.496078 + 0.565668i
\(636\) 6.81446 4.45009i 0.270211 0.176458i
\(637\) 0.154793 + 2.36168i 0.00613312 + 0.0935733i
\(638\) 13.5587 + 20.9255i 0.536794 + 0.828447i
\(639\) −14.5012 + 20.3502i −0.573660 + 0.805040i
\(640\) −20.8796 11.1772i −0.825339 0.441818i
\(641\) −20.5170 + 35.5366i −0.810374 + 1.40361i 0.102228 + 0.994761i \(0.467403\pi\)
−0.912602 + 0.408849i \(0.865930\pi\)
\(642\) −2.10355 3.61357i −0.0830205 0.142616i
\(643\) −26.0191 12.8312i −1.02609 0.506013i −0.150269 0.988645i \(-0.548014\pi\)
−0.875823 + 0.482633i \(0.839681\pi\)
\(644\) −0.0120601 0.117051i −0.000475236 0.00461247i
\(645\) 3.04435 + 3.82543i 0.119871 + 0.150626i
\(646\) −2.16507 + 1.61328i −0.0851836 + 0.0634738i
\(647\) 14.9143 + 36.0063i 0.586341 + 1.41555i 0.886977 + 0.461814i \(0.152801\pi\)
−0.300636 + 0.953739i \(0.597199\pi\)
\(648\) −7.49454 + 24.3276i −0.294413 + 0.955678i
\(649\) 3.85390 9.30413i 0.151279 0.365219i
\(650\) −2.94287 + 0.744186i −0.115429 + 0.0291894i
\(651\) −37.7952 4.29724i −1.48131 0.168422i
\(652\) 13.1430 + 15.8687i 0.514719 + 0.621468i
\(653\) −8.64480 25.4668i −0.338297 0.996591i −0.974368 0.224960i \(-0.927775\pi\)
0.636071 0.771631i \(-0.280559\pi\)
\(654\) 22.4697 29.5007i 0.878633 1.15357i
\(655\) −3.45033 12.8768i −0.134815 0.503138i
\(656\) 1.39984 + 4.00512i 0.0546547 + 0.156374i
\(657\) −44.6886 + 7.49986i −1.74347 + 0.292597i
\(658\) 5.86915 1.08156i 0.228803 0.0421637i
\(659\) 34.8367 + 30.5509i 1.35704 + 1.19010i 0.962521 + 0.271209i \(0.0874234\pi\)
0.394523 + 0.918886i \(0.370910\pi\)
\(660\) 12.6209 12.3576i 0.491270 0.481020i
\(661\) −2.01039 + 30.6727i −0.0781952 + 1.19303i 0.760836 + 0.648944i \(0.224789\pi\)
−0.839031 + 0.544084i \(0.816877\pi\)
\(662\) −23.8942 42.7690i −0.928676 1.66226i
\(663\) 8.58131 5.95605i 0.333270 0.231314i
\(664\) 20.3056 + 12.8993i 0.788011 + 0.500591i
\(665\) −5.34458 + 2.21380i −0.207254 + 0.0858473i
\(666\) −24.6151 + 25.6847i −0.953817 + 0.995263i
\(667\) 0.0330518 + 0.166163i 0.00127977 + 0.00643384i
\(668\) −16.6270 10.2359i −0.643316 0.396040i
\(669\) 1.53118 + 2.54696i 0.0591989 + 0.0984711i
\(670\) −14.0662 43.4427i −0.543424 1.67834i
\(671\) −5.78806 + 3.34174i −0.223446 + 0.129006i
\(672\) −22.8706 9.13837i −0.882253 0.352520i
\(673\) −15.5809 8.99566i −0.600601 0.346757i 0.168677 0.985671i \(-0.446051\pi\)
−0.769278 + 0.638914i \(0.779384\pi\)
\(674\) 4.80760 22.5046i 0.185182 0.866845i
\(675\) −3.20185 0.249724i −0.123239 0.00961189i
\(676\) 1.36574 1.29073i 0.0525285 0.0496435i
\(677\) −34.0754 11.5670i −1.30962 0.444557i −0.422615 0.906309i \(-0.638888\pi\)
−0.887009 + 0.461752i \(0.847221\pi\)
\(678\) 34.9155 + 30.4001i 1.34092 + 1.16751i
\(679\) 3.19932 + 2.45492i 0.122779 + 0.0942113i
\(680\) 0.909340 + 10.2416i 0.0348716 + 0.392749i
\(681\) 4.64520 + 2.18948i 0.178004 + 0.0839012i
\(682\) −25.8500 15.4150i −0.989847 0.590271i
\(683\) −38.3824 25.6463i −1.46866 0.981329i −0.994920 0.100666i \(-0.967903\pi\)
−0.473743 0.880663i \(-0.657097\pi\)
\(684\) 5.89517 2.95974i 0.225407 0.113168i
\(685\) 1.43065 7.19235i 0.0546622 0.274806i
\(686\) −25.7310 9.14151i −0.982415 0.349024i
\(687\) −11.5812 + 2.51738i −0.441852 + 0.0960439i
\(688\) 4.24938 3.32179i 0.162006 0.126642i
\(689\) 7.88125 + 2.11177i 0.300252 + 0.0804522i
\(690\) 0.110716 0.0463243i 0.00421489 0.00176353i
\(691\) 25.3978 28.9607i 0.966179 1.10172i −0.0285930 0.999591i \(-0.509103\pi\)
0.994772 0.102124i \(-0.0325640\pi\)
\(692\) −30.3353 21.5322i −1.15318 0.818532i
\(693\) 11.6154 14.2301i 0.441232 0.540558i
\(694\) −6.07480 + 5.90569i −0.230596 + 0.224177i
\(695\) −14.1860 18.4875i −0.538104 0.701271i
\(696\) 34.0146 + 10.0192i 1.28932 + 0.379777i
\(697\) 1.12131 1.46133i 0.0424728 0.0553516i
\(698\) −8.27116 + 0.970365i −0.313068 + 0.0367288i
\(699\) −30.5304 38.3635i −1.15477 1.45104i
\(700\) 0.492364 3.06796i 0.0186096 0.115958i
\(701\) −3.30291 + 2.20693i −0.124749 + 0.0833546i −0.616379 0.787449i \(-0.711401\pi\)
0.491630 + 0.870804i \(0.336401\pi\)
\(702\) −23.1791 + 10.6767i −0.874839 + 0.402966i
\(703\) 9.21875 0.347692
\(704\) −13.5117 14.0418i −0.509243 0.529222i
\(705\) 2.78832 + 5.41073i 0.105014 + 0.203780i
\(706\) 45.8270 + 23.4092i 1.72472 + 0.881016i
\(707\) 6.55837 + 3.23423i 0.246653 + 0.121636i
\(708\) −4.46038 13.6095i −0.167632 0.511477i
\(709\) 2.97644 8.76830i 0.111782 0.329300i −0.876615 0.481193i \(-0.840204\pi\)
0.988397 + 0.151893i \(0.0485369\pi\)
\(710\) 9.75693 22.6459i 0.366171 0.849884i
\(711\) −19.1444 + 20.5492i −0.717970 + 0.770653i
\(712\) 30.2612 18.4164i 1.13409 0.690183i
\(713\) −0.124491 0.162240i −0.00466223 0.00607593i
\(714\) 2.12346 + 10.4795i 0.0794687 + 0.392187i
\(715\) 17.6700 + 1.15815i 0.660821 + 0.0433125i
\(716\) −22.4230 2.10673i −0.837987 0.0787320i
\(717\) 31.9310 33.0810i 1.19249 1.23543i
\(718\) 24.0168 11.4252i 0.896298 0.426386i
\(719\) 26.2483 26.2483i 0.978895 0.978895i −0.0208866 0.999782i \(-0.506649\pi\)
0.999782 + 0.0208866i \(0.00664888\pi\)
\(720\) 2.17095 25.0257i 0.0809065 0.932653i
\(721\) −30.4758 30.4758i −1.13498 1.13498i
\(722\) 23.7089 + 8.42311i 0.882354 + 0.313476i
\(723\) 3.75313 15.0680i 0.139580 0.560386i
\(724\) −9.93759 + 18.7947i −0.369327 + 0.698499i
\(725\) −0.292591 + 4.46408i −0.0108666 + 0.165792i
\(726\) −11.1109 + 5.52875i −0.412365 + 0.205191i
\(727\) 11.7800 9.03909i 0.436895 0.335241i −0.366782 0.930307i \(-0.619541\pi\)
0.803677 + 0.595066i \(0.202874\pi\)
\(728\) −8.47463 23.1907i −0.314091 0.859506i
\(729\) −26.8481 + 2.86005i −0.994374 + 0.105928i
\(730\) 41.5488 16.5270i 1.53779 0.611691i
\(731\) −2.21737 0.752696i −0.0820124 0.0278395i
\(732\) −3.14990 + 8.96761i −0.116424 + 0.331452i
\(733\) −10.5308 + 21.3544i −0.388965 + 0.788743i −0.999996 0.00286403i \(-0.999088\pi\)
0.611031 + 0.791607i \(0.290755\pi\)
\(734\) −45.1005 + 14.6030i −1.66469 + 0.539005i
\(735\) 0.117973 2.46814i 0.00435150 0.0910386i
\(736\) −0.0500423 0.122585i −0.00184458 0.00451855i
\(737\) 37.5726i 1.38401i
\(738\) −3.31949 + 3.03836i −0.122192 + 0.111844i
\(739\) 5.04777 + 7.55452i 0.185685 + 0.277898i 0.912620 0.408809i \(-0.134056\pi\)
−0.726935 + 0.686707i \(0.759056\pi\)
\(740\) 18.4039 29.8948i 0.676542 1.09895i
\(741\) 6.15344 + 2.42224i 0.226052 + 0.0889832i
\(742\) −5.17741 + 6.55369i −0.190069 + 0.240593i
\(743\) 18.5896 + 14.2643i 0.681988 + 0.523308i 0.890655 0.454679i \(-0.150246\pi\)
−0.208668 + 0.977987i \(0.566913\pi\)
\(744\) −42.1727 + 7.31279i −1.54612 + 0.268100i
\(745\) −27.5575 + 21.1456i −1.00963 + 0.774716i
\(746\) −14.7276 0.207886i −0.539215 0.00761125i
\(747\) −4.08964 + 25.1858i −0.149632 + 0.921501i
\(748\) −1.88405 + 8.24774i −0.0688876 + 0.301567i
\(749\) 3.22598 + 2.82911i 0.117875 + 0.103374i
\(750\) 28.5468 3.86208i 1.04238 0.141023i
\(751\) −1.25807 + 4.69516i −0.0459075 + 0.171329i −0.985073 0.172135i \(-0.944934\pi\)
0.939166 + 0.343464i \(0.111600\pi\)
\(752\) 5.99581 3.02413i 0.218645 0.110279i
\(753\) −13.1264 4.19840i −0.478352 0.152998i
\(754\) 15.2712 + 32.1014i 0.556145 + 1.16906i
\(755\) −39.9691 7.95035i −1.45462 0.289343i
\(756\) −0.648678 26.1147i −0.0235922 0.949782i
\(757\) 23.1782 34.6887i 0.842427 1.26078i −0.120958 0.992658i \(-0.538597\pi\)
0.963385 0.268123i \(-0.0864035\pi\)
\(758\) 52.6452 13.3128i 1.91216 0.483542i
\(759\) 0.0984111 0.00820057i 0.00357210 0.000297662i
\(760\) −5.07127 + 4.08089i −0.183954 + 0.148029i
\(761\) 26.7861 34.9083i 0.970996 1.26543i 0.00687147 0.999976i \(-0.497813\pi\)
0.964125 0.265450i \(-0.0855206\pi\)
\(762\) 19.9324 + 9.74117i 0.722074 + 0.352885i
\(763\) −12.2323 + 36.0353i −0.442840 + 1.30457i
\(764\) −3.70129 + 8.26759i −0.133908 + 0.299111i
\(765\) −9.60426 + 5.16636i −0.347243 + 0.186790i
\(766\) −8.78495 13.5580i −0.317413 0.489871i
\(767\) 7.17891 12.4342i 0.259215 0.448974i
\(768\) −27.5873 2.63505i −0.995469 0.0950842i
\(769\) 15.6582 + 27.1209i 0.564651 + 0.978004i 0.997082 + 0.0763369i \(0.0243225\pi\)
−0.432431 + 0.901667i \(0.642344\pi\)
\(770\) −8.24569 + 16.1422i −0.297154 + 0.581723i
\(771\) 0.140494 + 7.94212i 0.00505975 + 0.286029i
\(772\) 14.2146 + 19.6493i