Properties

Label 576.2.bm.a.517.93
Level $576$
Weight $2$
Character 576.517
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 517.93
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.93

$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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 −0.973016 0.230736i \(-0.925887\pi\)
0.355766 + 0.934575i \(0.384220\pi\)
\(6\) −2.20074 + 1.07552i −0.898447 + 0.439081i
\(7\) 2.49216 0.328099i 0.941947 0.124010i 0.356115 0.934442i \(-0.384101\pi\)
0.585832 + 0.810433i \(0.300768\pi\)
\(8\) 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 −0.996629 0.0820375i \(-0.973857\pi\)
0.671794 + 0.740738i \(0.265524\pi\)
\(12\) −3.18626 + 1.35932i −0.919794 + 0.392401i
\(13\) −1.11630 + 3.28851i −0.309606 + 0.912069i 0.675082 + 0.737742i \(0.264108\pi\)
−0.984688 + 0.174326i \(0.944225\pi\)
\(14\) 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 −0.840160 0.542338i \(-0.817539\pi\)
0.542338 + 0.840160i \(0.317539\pi\)
\(18\) 2.43155 3.47672i 0.573121 0.819471i
\(19\) 0.214484 + 1.07828i 0.0492059 + 0.247375i 0.997558 0.0698453i \(-0.0222506\pi\)
−0.948352 + 0.317220i \(0.897251\pi\)
\(20\) −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 −0.991760 0.128106i \(-0.959110\pi\)
0.991123 + 0.132945i \(0.0424434\pi\)
\(24\) −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 −0.622174 0.782879i \(-0.713750\pi\)
−0.719037 + 0.694972i \(0.755417\pi\)
\(30\) 1.34479 4.94804i 0.245524 0.903385i
\(31\) 7.56639 + 4.36846i 1.35896 + 0.784599i 0.989484 0.144640i \(-0.0462024\pi\)
0.369480 + 0.929239i \(0.379536\pi\)
\(32\) 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 −0.576125 0.817361i \(-0.695436\pi\)
0.845061 0.534670i \(-0.179564\pi\)
\(38\) 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 −0.977228 0.212194i \(-0.931939\pi\)
0.998849 + 0.0479613i \(0.0152724\pi\)
\(42\) −5.13170 + 3.40243i −0.791839 + 0.525007i
\(43\) 1.20936 + 0.596388i 0.184425 + 0.0909484i 0.532157 0.846646i \(-0.321382\pi\)
−0.347732 + 0.937594i \(0.613048\pi\)
\(44\) −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 0.375140 0.926968i \(-0.377595\pi\)
−0.138603 + 0.990348i \(0.544261\pi\)
\(48\) −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 0.730925 0.682457i \(-0.239089\pi\)
−0.910222 + 0.414122i \(0.864089\pi\)
\(54\) −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 −0.546656 0.837357i \(-0.684099\pi\)
0.901547 + 0.432682i \(0.142433\pi\)
\(60\) 2.25839 6.89078i 0.291556 0.889596i
\(61\) −0.179452 + 2.73790i −0.0229764 + 0.350553i 0.970856 + 0.239663i \(0.0770368\pi\)
−0.993833 + 0.110890i \(0.964630\pi\)
\(62\) 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 0.696880 0.717188i \(-0.254571\pi\)
0.993217 0.116275i \(-0.0370955\pi\)
\(68\) −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 −0.613995 0.789310i \(-0.710439\pi\)
0.992286 0.123966i \(-0.0395613\pi\)
\(72\) 5.55015 6.41840i 0.654091 0.756416i
\(73\) −5.78025 13.9548i −0.676527 1.63328i −0.770296 0.637687i \(-0.779891\pi\)
0.0937684 0.995594i \(-0.470109\pi\)
\(74\) 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 −0.684820 0.728712i \(-0.740119\pi\)
0.957428 0.288673i \(-0.0932142\pi\)
\(80\) −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 −0.232159 0.972678i \(-0.574579\pi\)
0.934054 + 0.357132i \(0.116245\pi\)
\(84\) −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 0.899482 0.436958i \(-0.143944\pi\)
0.327054 + 0.945006i \(0.393944\pi\)
\(90\) 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 −0.427805 0.903871i \(-0.640713\pi\)
0.568873 + 0.822425i \(0.307380\pi\)
\(98\) −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 −0.181003 0.983483i \(-0.557934\pi\)
0.455107 + 0.890437i \(0.349601\pi\)
\(102\) 1.38171 4.02310i 0.136810 0.398346i
\(103\) −13.6029 + 10.4378i −1.34033 + 1.02847i −0.344355 + 0.938839i \(0.611903\pi\)
−0.995975 + 0.0896323i \(0.971431\pi\)
\(104\) −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 −0.485071 0.874475i \(-0.661206\pi\)
0.622281 + 0.782794i \(0.286206\pi\)
\(108\) −1.61190 + 10.2665i −0.155105 + 0.987898i
\(109\) −2.95352 14.8483i −0.282896 1.42221i −0.816924 0.576746i \(-0.804322\pi\)
0.534028 0.845467i \(-0.320678\pi\)
\(110\) −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 −0.977214 0.212254i \(-0.931920\pi\)
−0.740165 + 0.672425i \(0.765253\pi\)
\(114\) −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 −0.175313 0.984513i \(-0.556094\pi\)
0.674343 + 0.738418i \(0.264427\pi\)
\(132\) 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 −0.693319 0.720631i \(-0.743852\pi\)
0.875520 + 0.483182i \(0.160519\pi\)
\(138\) −0.0182351 0.0543563i −0.00155228 0.00462712i
\(139\) 11.1083 0.728077i 0.942194 0.0617547i 0.413441 0.910531i \(-0.364327\pi\)
0.528753 + 0.848776i \(0.322660\pi\)
\(140\) −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 0.776374 + 0.630272i \(0.217057\pi\)
−0.687465 + 0.726218i \(0.741277\pi\)
\(150\) −0.836601 1.26180i −0.0683082 0.103026i
\(151\) 15.4449 + 11.8513i 1.25689 + 0.964442i 0.999998 0.00199955i \(-0.000636476\pi\)
0.256887 + 0.966441i \(0.417303\pi\)
\(152\) 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 0.652713 0.757605i \(-0.273631\pi\)
−0.998395 + 0.0566310i \(0.981964\pi\)
\(158\) 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 −0.536631 0.843817i \(-0.680303\pi\)
0.984945 + 0.172868i \(0.0553034\pi\)
\(164\) 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 −0.863332 0.504636i \(-0.831627\pi\)
0.263994 + 0.964524i \(0.414960\pi\)
\(168\) −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 −0.997856 0.0654513i \(-0.979151\pi\)
−0.0653549 + 0.997862i \(0.520818\pi\)
\(174\) 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 −0.589726 0.807604i \(-0.700764\pi\)
−0.235779 + 0.971807i \(0.575764\pi\)
\(180\) 2.36221 + 12.3357i 0.176068 + 0.919449i
\(181\) −5.90577 8.83860i −0.438972 0.656968i 0.544346 0.838861i \(-0.316778\pi\)
−0.983318 + 0.181892i \(0.941778\pi\)
\(182\) −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 0.772391 0.635148i \(-0.219061\pi\)
−0.936249 + 0.351336i \(0.885727\pi\)
\(192\) −13.5860 + 2.72430i −0.980482 + 0.196610i
\(193\) 6.06296 10.5014i 0.436421 0.755904i −0.560989 0.827823i \(-0.689579\pi\)
0.997410 + 0.0719191i \(0.0229123\pi\)
\(194\) 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 0.876786 0.480880i \(-0.159683\pi\)
0.626020 + 0.779807i \(0.284683\pi\)
\(198\) 4.97581 + 9.05777i 0.353616 + 0.643708i
\(199\) −4.76331 + 11.4996i −0.337662 + 0.815189i 0.660277 + 0.751022i \(0.270439\pi\)
−0.997939 + 0.0641665i \(0.979561\pi\)
\(200\) −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 0.126131 0.992014i \(-0.459744\pi\)
−0.503833 + 0.863801i \(0.668077\pi\)
\(212\) −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 −0.548926 0.835871i \(-0.684963\pi\)
0.449423 + 0.893319i \(0.351630\pi\)
\(224\) 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 −0.0330968 0.999452i \(-0.510537\pi\)
−0.163268 + 0.986582i \(0.552204\pi\)
\(228\) −2.14913 3.14414i −0.142329 0.208226i
\(229\) 5.14452 + 4.51162i 0.339959 + 0.298136i 0.812253 0.583305i \(-0.198241\pi\)
−0.472294 + 0.881441i \(0.656574\pi\)
\(230\) −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 0.713332 0.700826i \(-0.247185\pi\)
0.999961 0.00884299i \(-0.00281485\pi\)
\(234\) 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 −0.717491 0.696568i \(-0.754709\pi\)
0.273081 0.961991i \(-0.411957\pi\)
\(240\) 5.90546 13.2461i 0.381196 0.855030i
\(241\) 2.32040 8.65984i 0.149470 0.557830i −0.850046 0.526709i \(-0.823426\pi\)
0.999516 0.0311206i \(-0.00990759\pi\)
\(242\) 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 0.435126 0.900369i \(-0.356704\pi\)
0.0574478 + 0.998349i \(0.481704\pi\)
\(252\) 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 −0.928639 0.370985i \(-0.879020\pi\)
0.785602 + 0.618732i \(0.212353\pi\)
\(258\) −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 −0.871363 0.490640i \(-0.836763\pi\)
−0.714685 + 0.699447i \(0.753430\pi\)
\(264\) 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 −0.504834 0.863216i \(-0.668446\pi\)
−0.136067 + 0.990700i \(0.543446\pi\)
\(270\) −10.4453 11.2924i −0.635683 0.687236i
\(271\) −16.3725 16.3725i −0.994561 0.994561i 0.00542439 0.999985i \(-0.498273\pi\)
−0.999985 + 0.00542439i \(0.998273\pi\)
\(272\) −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 −0.181792 0.983337i \(-0.558190\pi\)
−0.890802 + 0.454392i \(0.849857\pi\)
\(278\) 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 0.984075 + 0.177752i \(0.0568826\pi\)
−0.904538 + 0.426393i \(0.859784\pi\)
\(282\) −4.03608 + 0.787845i −0.240345 + 0.0469155i
\(283\) 20.0088 + 17.5472i 1.18940 + 1.04307i 0.998105 + 0.0615415i \(0.0196017\pi\)
0.191294 + 0.981533i \(0.438732\pi\)
\(284\) 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 0.679322 0.733841i \(-0.262274\pi\)
−0.638893 + 0.769295i \(0.720607\pi\)
\(294\) 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 0.211019 0.977482i \(-0.432322\pi\)
0.569022 + 0.822322i \(0.307322\pi\)
\(308\) −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 0.200791 0.979634i \(-0.435649\pi\)
−0.0595990 + 0.998222i \(0.518982\pi\)
\(312\) −0.419429 17.0081i −0.0237455 0.962892i
\(313\) −21.6148 + 2.84564i −1.22174 + 0.160845i −0.713678 0.700474i \(-0.752972\pi\)
−0.508064 + 0.861319i \(0.669639\pi\)
\(314\) −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 −0.881856 0.471519i \(-0.843706\pi\)
0.935857 0.352380i \(-0.114628\pi\)
\(318\) 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 −0.146672 + 0.989185i \(0.546856\pi\)
−0.695485 + 0.718541i \(0.744810\pi\)
\(332\) 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 0.980586 + 0.196089i \(0.0628243\pi\)
−0.751168 + 0.660111i \(0.770509\pi\)
\(338\) 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 0.529868 0.848080i \(-0.322242\pi\)
−0.771663 + 0.636031i \(0.780575\pi\)
\(348\) 23.6567 8.30949i 1.26813 0.445435i
\(349\) −5.87610 0.385140i −0.314540 0.0206161i −0.0926844 0.995696i \(-0.529545\pi\)
−0.221856 + 0.975079i \(0.571211\pi\)
\(350\) 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 0.713834 0.700315i \(-0.246957\pi\)
0.963407 0.268041i \(-0.0863764\pi\)
\(354\) −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 0.790731 0.612164i \(-0.209701\pi\)
0.126265 + 0.991996i \(0.459701\pi\)
\(360\) 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 −0.719725 0.694260i \(-0.755732\pi\)
−0.970430 + 0.241384i \(0.922399\pi\)
\(368\) −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 −0.332038 0.943266i \(-0.607736\pi\)
−0.206076 + 0.978536i \(0.566070\pi\)
\(374\) −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 0.999554 + 0.0298727i \(0.00951019\pi\)
0.934899 + 0.354914i \(0.115490\pi\)
\(380\) −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 −0.974249 0.225474i \(-0.927607\pi\)
0.682391 + 0.730987i \(0.260940\pi\)
\(384\) −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 0.945684 + 0.325087i \(0.105393\pi\)
−0.552361 + 0.833605i \(0.686273\pi\)
\(390\) 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 −0.325717 0.945467i \(-0.605606\pi\)
0.0608910 + 0.998144i \(0.480606\pi\)
\(398\) −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 0.961403 0.275146i \(-0.0887261\pi\)
−0.970172 + 0.242418i \(0.922059\pi\)
\(402\) −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 −0.976972 0.213367i \(-0.931557\pi\)
−0.0467623 + 0.998906i \(0.514890\pi\)
\(410\) 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 −0.917492 0.397753i \(-0.869790\pi\)
0.242975 0.970032i \(-0.421877\pi\)
\(420\) 3.36739 17.9139i 0.164312 0.874108i
\(421\) 3.98090 1.35133i 0.194017 0.0658599i −0.222740 0.974878i \(-0.571500\pi\)
0.416757 + 0.909018i \(0.363167\pi\)
\(422\) −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 −0.538328 0.842736i \(-0.680944\pi\)
0.842736 + 0.538328i \(0.180944\pi\)
\(432\) −5.31127 + 20.0945i −0.255539 + 0.966799i
\(433\) −9.05059 9.05059i −0.434943 0.434943i 0.455363 0.890306i \(-0.349510\pi\)
−0.890306 + 0.455363i \(0.849510\pi\)
\(434\) 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 −0.584462 0.811421i \(-0.698694\pi\)
0.935042 + 0.354536i \(0.115361\pi\)
\(440\) −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 0.951013 0.309150i \(-0.100045\pi\)
−0.942688 + 0.333675i \(0.891711\pi\)
\(444\) 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 −0.911779 0.410681i \(-0.865291\pi\)
0.632673 + 0.774419i \(0.281958\pi\)
\(458\) 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 0.133128 0.991099i \(-0.457498\pi\)
−0.999997 + 0.00262469i \(0.999165\pi\)
\(462\) −1.90450 14.8767i −0.0886051 0.692125i
\(463\) −31.6634 + 8.48419i −1.47152 + 0.394294i −0.903454 0.428686i \(-0.858977\pi\)
−0.568071 + 0.822980i \(0.692310\pi\)
\(464\) −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 −0.986011 0.166680i \(-0.946695\pi\)
0.847170 0.531323i \(-0.178305\pi\)
\(468\) 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 0.0801173 0.996785i \(-0.474471\pi\)
0.903300 + 0.429009i \(0.141137\pi\)
\(480\) 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 0.254043 0.967193i \(-0.418240\pi\)
−0.504274 + 0.863544i \(0.668240\pi\)
\(488\) −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 −0.891669 0.452689i \(-0.850465\pi\)
0.824952 0.565202i \(-0.191202\pi\)
\(492\) 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 −0.999956 0.00934798i \(-0.997024\pi\)
0.799009 + 0.601319i \(0.205358\pi\)
\(500\) −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 0.995771 0.0918755i \(-0.0292862\pi\)
−0.769082 + 0.639150i \(0.779286\pi\)
\(504\) 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 −0.509525 0.860456i \(-0.670179\pi\)
0.372466 + 0.928046i \(0.378512\pi\)
\(510\) 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 −0.956161 0.292840i \(-0.905400\pi\)
0.469039 0.883177i \(-0.344600\pi\)
\(522\) −19.2081 + 23.9600i −0.840714 + 1.04870i
\(523\) −5.81777 8.70692i −0.254394 0.380727i 0.682188 0.731177i \(-0.261029\pi\)
−0.936581 + 0.350450i \(0.886029\pi\)
\(524\) 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 −0.888141 0.459572i \(-0.848003\pi\)
0.764466 + 0.644664i \(0.223003\pi\)
\(542\) −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 −0.485634 0.874162i \(-0.661411\pi\)
−0.595580 + 0.803296i \(0.703078\pi\)
\(548\) 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 0.782005 + 0.623272i \(0.214197\pi\)
−0.483963 + 0.875088i \(0.660803\pi\)
\(558\) 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 −0.919992 0.391936i \(-0.871805\pi\)
0.968475 + 0.249112i \(0.0801388\pi\)
\(564\) −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 0.808014 0.589163i \(-0.200542\pi\)
0.932968 + 0.359958i \(0.117209\pi\)
\(570\) 5.62382 + 0.388792i 0.235556 + 0.0162847i
\(571\) 9.13312 10.4143i 0.382209 0.435826i −0.528463 0.848957i \(-0.677231\pi\)
0.910672 + 0.413130i \(0.135565\pi\)
\(572\) −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 −0.924769 0.380528i \(-0.875742\pi\)
0.864857 + 0.502018i \(0.167409\pi\)
\(588\) 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 −0.716672 0.697410i \(-0.754335\pi\)
0.697410 + 0.716672i \(0.254335\pi\)
\(594\) −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 0.822242 + 0.569138i \(0.192723\pi\)
−0.941529 + 0.336933i \(0.890610\pi\)
\(600\) −1.40575 2.68180i −0.0573894 0.109484i
\(601\) 4.84556 + 36.8057i 0.197654 + 1.50133i 0.746486 + 0.665401i \(0.231740\pi\)
−0.548831 + 0.835933i \(0.684927\pi\)
\(602\) 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 0.666014 0.745939i \(-0.267999\pi\)
−0.312995 + 0.949755i \(0.601332\pi\)
\(608\) −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 −0.269398 0.963029i \(-0.586825\pi\)
0.617427 0.786628i \(-0.288175\pi\)
\(614\) 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 0.927075 + 0.374875i \(0.122314\pi\)
−0.992511 + 0.122157i \(0.961019\pi\)
\(618\) 18.7102 37.6012i 0.752634 1.51254i
\(619\) −10.7160 5.28454i −0.430712 0.212404i 0.213993 0.976835i \(-0.431353\pi\)
−0.644705 + 0.764432i \(0.723020\pi\)
\(620\) −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 0.967136 0.254258i \(-0.0818313\pi\)
−0.863656 + 0.504081i \(0.831831\pi\)
\(632\) 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 −0.912602 0.408849i \(-0.865930\pi\)
0.102228 0.994761i \(-0.467403\pi\)
\(642\) −2.10355 + 3.61357i −0.0830205 + 0.142616i
\(643\) −26.0191 + 12.8312i −1.02609 + 0.506013i −0.875823 0.482633i \(-0.839681\pi\)
−0.150269 + 0.988645i \(0.548014\pi\)
\(644\) −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 −0.300636 0.953739i \(-0.597199\pi\)
0.886977 0.461814i \(-0.152801\pi\)
\(648\) −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 0.636071 + 0.771631i \(0.280559\pi\)
−0.974368 + 0.224960i \(0.927775\pi\)
\(654\) 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 0.394523 0.918886i \(-0.370910\pi\)
0.962521 0.271209i \(-0.0874234\pi\)
\(660\) 12.6209 + 12.3576i 0.491270 + 0.481020i
\(661\) −2.01039 30.6727i −0.0781952 1.19303i −0.839031 0.544084i \(-0.816877\pi\)
0.760836 0.648944i \(-0.224789\pi\)
\(662\) −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 −0.769278 0.638914i \(-0.779384\pi\)
0.168677 + 0.985671i \(0.446051\pi\)
\(674\) 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 −0.887009 0.461752i \(-0.847221\pi\)
−0.422615 + 0.906309i \(0.638888\pi\)
\(678\) 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 −0.473743 + 0.880663i \(0.657097\pi\)
−0.994920 + 0.100666i \(0.967903\pi\)
\(684\) 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 0.994772 + 0.102124i \(0.0325640\pi\)
−0.0285930 + 0.999591i \(0.509103\pi\)
\(692\) −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 0.491630 0.870804i \(-0.336401\pi\)
−0.616379 + 0.787449i \(0.711401\pi\)
\(702\) −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 0.988397 0.151893i \(-0.0485369\pi\)
−0.876615 + 0.481193i \(0.840204\pi\)
\(710\) 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 0.999782 0.0208866i \(-0.00664888\pi\)
−0.0208866 + 0.999782i \(0.506649\pi\)
\(720\) 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 0.803677 0.595066i \(-0.202874\pi\)
−0.366782 + 0.930307i \(0.619541\pi\)
\(728\) −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 0.611031 0.791607i \(-0.290755\pi\)
−0.999996 + 0.00286403i \(0.999088\pi\)
\(734\) −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 −0.726935 0.686707i \(-0.759056\pi\)
0.912620 + 0.408809i \(0.134056\pi\)
\(740\) 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 −0.208668 0.977987i \(-0.566913\pi\)
0.890655 + 0.454679i \(0.150246\pi\)
\(744\) −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 0.939166 0.343464i \(-0.111600\pi\)
−0.985073 + 0.172135i \(0.944934\pi\)
\(752\) 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 0.963385 + 0.268123i \(0.0864035\pi\)
−0.120958 + 0.992658i \(0.538597\pi\)
\(758\) 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 0.964125 + 0.265450i \(0.0855206\pi\)
0.00687147 + 0.999976i \(0.497813\pi\)
\(762\) 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 −0.432431 0.901667i \(-0.642344\pi\)
0.997082 0.0763369i \(-0.0243225\pi\)
\(770\) −8.24569 16.1422i −0.297154 0.581723i
\(771\) 0.140494 7.94212i 0.00505975 0.286029i
\(772\) 14.2146 19.6493i 0.511596 0.707195i