Properties

Label 690.2.w.b.493.7
Level $690$
Weight $2$
Character 690.493
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 493.7
Character \(\chi\) \(=\) 690.493
Dual form 690.2.w.b.7.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-2.18918 - 0.455502i) q^{5} +(0.142315 + 0.989821i) q^{6} +(0.172948 + 0.316731i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-2.18918 - 0.455502i) q^{5} +(0.142315 + 0.989821i) q^{6} +(0.172948 + 0.316731i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +(-2.15111 - 0.610516i) q^{10} +(4.35576 + 3.77429i) q^{11} +(0.0713392 + 0.997452i) q^{12} +(0.701781 + 0.383202i) q^{13} +(0.149912 + 0.328262i) q^{14} +(-0.0202515 - 2.23598i) q^{15} +(0.959493 + 0.281733i) q^{16} +(0.276383 - 0.369204i) q^{17} +(-0.936950 + 0.349464i) q^{18} +(-0.891653 + 6.20158i) q^{19} +(-2.10207 - 0.762419i) q^{20} +(-0.272730 + 0.236322i) q^{21} +(4.07541 + 4.07541i) q^{22} +(2.21044 + 4.25605i) q^{23} +1.00000i q^{24} +(4.58504 + 1.99435i) q^{25} +(0.672656 + 0.432290i) q^{26} +(-0.599278 - 0.800541i) q^{27} +(0.126112 + 0.338120i) q^{28} +(-9.47323 + 1.36204i) q^{29} +(0.139313 - 2.23172i) q^{30} +(1.31556 - 0.845457i) q^{31} +(0.936950 + 0.349464i) q^{32} +(-2.76215 + 5.05850i) q^{33} +(0.302017 - 0.348547i) q^{34} +(-0.234343 - 0.772159i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(3.10334 - 8.32037i) q^{37} +(-1.33180 + 6.12217i) q^{38} +(-0.225270 + 0.767199i) q^{39} +(-2.04233 - 0.910437i) q^{40} +(-1.67365 + 3.66478i) q^{41} +(-0.288894 + 0.216263i) q^{42} +(7.03749 - 1.53091i) q^{43} +(3.77429 + 4.35576i) q^{44} +(2.18057 - 0.495080i) q^{45} +(1.90118 + 4.40290i) q^{46} +(-1.40356 + 1.40356i) q^{47} +(-0.0713392 + 0.997452i) q^{48} +(3.71408 - 5.77922i) q^{49} +(4.43108 + 2.31637i) q^{50} +(0.419516 + 0.191587i) q^{51} +(0.640103 + 0.479175i) q^{52} +(-1.55615 + 0.849720i) q^{53} +(-0.540641 - 0.841254i) q^{54} +(-7.81636 - 10.2467i) q^{55} +(0.101670 + 0.346255i) q^{56} +(-6.24939 + 0.446965i) q^{57} +(-9.54626 + 0.682762i) q^{58} +(-4.03973 - 13.7580i) q^{59} +(0.298167 - 2.21610i) q^{60} +(-4.25012 - 6.61332i) q^{61} +(1.37252 - 0.749453i) q^{62} +(-0.288894 - 0.216263i) q^{63} +(0.909632 + 0.415415i) q^{64} +(-1.36178 - 1.15856i) q^{65} +(-3.11598 + 4.84857i) q^{66} +(-0.842709 + 11.7826i) q^{67} +(0.326113 - 0.326113i) q^{68} +(-3.68892 + 3.06461i) q^{69} +(-0.178661 - 0.786910i) q^{70} +(-2.46650 - 2.84649i) q^{71} +(-0.977147 + 0.212565i) q^{72} +(12.9380 - 9.68526i) q^{73} +(3.68900 - 8.07778i) q^{74} +(-0.974158 + 4.90418i) q^{75} +(-1.76515 + 6.01156i) q^{76} +(-0.442113 + 2.03236i) q^{77} +(-0.279427 + 0.749173i) q^{78} +(3.46495 - 1.01740i) q^{79} +(-1.97217 - 1.05382i) q^{80} +(0.654861 - 0.755750i) q^{81} +(-1.93083 + 3.53605i) q^{82} +(-0.718827 - 0.268108i) q^{83} +(-0.303586 + 0.195103i) q^{84} +(-0.773226 + 0.682362i) q^{85} +(7.12878 - 1.02496i) q^{86} +(-3.34460 - 8.96721i) q^{87} +(3.45394 + 4.61392i) q^{88} +(-3.65712 - 2.35029i) q^{89} +(2.21034 - 0.338258i) q^{90} +0.288550i q^{91} +(1.58224 + 4.52731i) q^{92} +(1.10578 + 1.10578i) q^{93} +(-1.50012 + 1.29986i) q^{94} +(4.77682 - 13.1702i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-0.902631 + 0.336664i) q^{97} +(4.11690 - 5.49953i) q^{98} +(-5.53004 - 1.62377i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 + 0.0713392i 0.705305 + 0.0504444i
\(3\) 0.212565 + 0.977147i 0.122725 + 0.564156i
\(4\) 0.989821 + 0.142315i 0.494911 + 0.0711574i
\(5\) −2.18918 0.455502i −0.979032 0.203707i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) 0.172948 + 0.316731i 0.0653682 + 0.119713i 0.908320 0.418277i \(-0.137366\pi\)
−0.842951 + 0.537990i \(0.819184\pi\)
\(8\) 0.977147 + 0.212565i 0.345474 + 0.0751532i
\(9\) −0.909632 + 0.415415i −0.303211 + 0.138472i
\(10\) −2.15111 0.610516i −0.680240 0.193062i
\(11\) 4.35576 + 3.77429i 1.31331 + 1.13799i 0.980827 + 0.194883i \(0.0624327\pi\)
0.332485 + 0.943108i \(0.392113\pi\)
\(12\) 0.0713392 + 0.997452i 0.0205938 + 0.287940i
\(13\) 0.701781 + 0.383202i 0.194639 + 0.106281i 0.573613 0.819126i \(-0.305541\pi\)
−0.378974 + 0.925407i \(0.623723\pi\)
\(14\) 0.149912 + 0.328262i 0.0400657 + 0.0877316i
\(15\) −0.0202515 2.23598i −0.00522893 0.577327i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) 0.276383 0.369204i 0.0670327 0.0895452i −0.765772 0.643112i \(-0.777643\pi\)
0.832805 + 0.553567i \(0.186734\pi\)
\(18\) −0.936950 + 0.349464i −0.220841 + 0.0823695i
\(19\) −0.891653 + 6.20158i −0.204559 + 1.42274i 0.585978 + 0.810327i \(0.300710\pi\)
−0.790538 + 0.612414i \(0.790199\pi\)
\(20\) −2.10207 0.762419i −0.470038 0.170482i
\(21\) −0.272730 + 0.236322i −0.0595145 + 0.0515696i
\(22\) 4.07541 + 4.07541i 0.868880 + 0.868880i
\(23\) 2.21044 + 4.25605i 0.460909 + 0.887448i
\(24\) 1.00000i 0.204124i
\(25\) 4.58504 + 1.99435i 0.917007 + 0.398871i
\(26\) 0.672656 + 0.432290i 0.131919 + 0.0847790i
\(27\) −0.599278 0.800541i −0.115331 0.154064i
\(28\) 0.126112 + 0.338120i 0.0238330 + 0.0638986i
\(29\) −9.47323 + 1.36204i −1.75913 + 0.252925i −0.944841 0.327529i \(-0.893784\pi\)
−0.814293 + 0.580454i \(0.802875\pi\)
\(30\) 0.139313 2.23172i 0.0254349 0.407455i
\(31\) 1.31556 0.845457i 0.236281 0.151849i −0.417143 0.908841i \(-0.636968\pi\)
0.653424 + 0.756992i \(0.273332\pi\)
\(32\) 0.936950 + 0.349464i 0.165631 + 0.0617771i
\(33\) −2.76215 + 5.05850i −0.480829 + 0.880572i
\(34\) 0.302017 0.348547i 0.0517956 0.0597753i
\(35\) −0.234343 0.772159i −0.0396112 0.130519i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) 3.10334 8.32037i 0.510186 1.36786i −0.385309 0.922788i \(-0.625905\pi\)
0.895494 0.445073i \(-0.146822\pi\)
\(38\) −1.33180 + 6.12217i −0.216046 + 0.993147i
\(39\) −0.225270 + 0.767199i −0.0360721 + 0.122850i
\(40\) −2.04233 0.910437i −0.322920 0.143953i
\(41\) −1.67365 + 3.66478i −0.261380 + 0.572343i −0.994135 0.108150i \(-0.965507\pi\)
0.732754 + 0.680493i \(0.238234\pi\)
\(42\) −0.288894 + 0.216263i −0.0445773 + 0.0333701i
\(43\) 7.03749 1.53091i 1.07321 0.233462i 0.358958 0.933354i \(-0.383132\pi\)
0.714249 + 0.699892i \(0.246768\pi\)
\(44\) 3.77429 + 4.35576i 0.568996 + 0.656656i
\(45\) 2.18057 0.495080i 0.325061 0.0738021i
\(46\) 1.90118 + 4.40290i 0.280314 + 0.649172i
\(47\) −1.40356 + 1.40356i −0.204731 + 0.204731i −0.802023 0.597293i \(-0.796243\pi\)
0.597293 + 0.802023i \(0.296243\pi\)
\(48\) −0.0713392 + 0.997452i −0.0102969 + 0.143970i
\(49\) 3.71408 5.77922i 0.530583 0.825603i
\(50\) 4.43108 + 2.31637i 0.626649 + 0.327584i
\(51\) 0.419516 + 0.191587i 0.0587440 + 0.0268275i
\(52\) 0.640103 + 0.479175i 0.0887663 + 0.0664496i
\(53\) −1.55615 + 0.849720i −0.213753 + 0.116718i −0.582559 0.812788i \(-0.697949\pi\)
0.368806 + 0.929506i \(0.379767\pi\)
\(54\) −0.540641 0.841254i −0.0735719 0.114480i
\(55\) −7.81636 10.2467i −1.05396 1.38166i
\(56\) 0.101670 + 0.346255i 0.0135862 + 0.0462703i
\(57\) −6.24939 + 0.446965i −0.827752 + 0.0592020i
\(58\) −9.54626 + 0.682762i −1.25349 + 0.0896510i
\(59\) −4.03973 13.7580i −0.525928 1.79115i −0.607313 0.794463i \(-0.707753\pi\)
0.0813852 0.996683i \(-0.474066\pi\)
\(60\) 0.298167 2.21610i 0.0384932 0.286097i
\(61\) −4.25012 6.61332i −0.544172 0.846748i 0.454868 0.890559i \(-0.349687\pi\)
−0.999040 + 0.0438106i \(0.986050\pi\)
\(62\) 1.37252 0.749453i 0.174310 0.0951806i
\(63\) −0.288894 0.216263i −0.0363972 0.0272466i
\(64\) 0.909632 + 0.415415i 0.113704 + 0.0519269i
\(65\) −1.36178 1.15856i −0.168908 0.143702i
\(66\) −3.11598 + 4.84857i −0.383551 + 0.596817i
\(67\) −0.842709 + 11.7826i −0.102953 + 1.43947i 0.639095 + 0.769128i \(0.279309\pi\)
−0.742048 + 0.670347i \(0.766145\pi\)
\(68\) 0.326113 0.326113i 0.0395470 0.0395470i
\(69\) −3.68892 + 3.06461i −0.444094 + 0.368936i
\(70\) −0.178661 0.786910i −0.0213541 0.0940537i
\(71\) −2.46650 2.84649i −0.292719 0.337816i 0.590273 0.807204i \(-0.299020\pi\)
−0.882992 + 0.469388i \(0.844475\pi\)
\(72\) −0.977147 + 0.212565i −0.115158 + 0.0250511i
\(73\) 12.9380 9.68526i 1.51428 1.13357i 0.562496 0.826800i \(-0.309841\pi\)
0.951782 0.306774i \(-0.0992497\pi\)
\(74\) 3.68900 8.07778i 0.428837 0.939023i
\(75\) −0.974158 + 4.90418i −0.112486 + 0.566286i
\(76\) −1.76515 + 6.01156i −0.202477 + 0.689573i
\(77\) −0.442113 + 2.03236i −0.0503834 + 0.231609i
\(78\) −0.279427 + 0.749173i −0.0316389 + 0.0848272i
\(79\) 3.46495 1.01740i 0.389837 0.114466i −0.0809395 0.996719i \(-0.525792\pi\)
0.470776 + 0.882253i \(0.343974\pi\)
\(80\) −1.97217 1.05382i −0.220496 0.117820i
\(81\) 0.654861 0.755750i 0.0727623 0.0839722i
\(82\) −1.93083 + 3.53605i −0.213224 + 0.390491i
\(83\) −0.718827 0.268108i −0.0789015 0.0294287i 0.309704 0.950833i \(-0.399770\pi\)
−0.388605 + 0.921404i \(0.627043\pi\)
\(84\) −0.303586 + 0.195103i −0.0331239 + 0.0212874i
\(85\) −0.773226 + 0.682362i −0.0838681 + 0.0740126i
\(86\) 7.12878 1.02496i 0.768716 0.110525i
\(87\) −3.34460 8.96721i −0.358578 0.961386i
\(88\) 3.45394 + 4.61392i 0.368191 + 0.491846i
\(89\) −3.65712 2.35029i −0.387654 0.249130i 0.332268 0.943185i \(-0.392186\pi\)
−0.719922 + 0.694055i \(0.755822\pi\)
\(90\) 2.21034 0.338258i 0.232990 0.0356555i
\(91\) 0.288550i 0.0302482i
\(92\) 1.58224 + 4.52731i 0.164960 + 0.472004i
\(93\) 1.10578 + 1.10578i 0.114664 + 0.114664i
\(94\) −1.50012 + 1.29986i −0.154725 + 0.134070i
\(95\) 4.77682 13.1702i 0.490092 1.35124i
\(96\) −0.142315 + 0.989821i −0.0145249 + 0.101023i
\(97\) −0.902631 + 0.336664i −0.0916483 + 0.0341831i −0.394870 0.918737i \(-0.629210\pi\)
0.303222 + 0.952920i \(0.401938\pi\)
\(98\) 4.11690 5.49953i 0.415870 0.555537i
\(99\) −5.53004 1.62377i −0.555790 0.163195i
\(100\) 4.25454 + 2.62657i 0.425454 + 0.262657i
\(101\) −0.117026 0.256251i −0.0116445 0.0254980i 0.903720 0.428123i \(-0.140825\pi\)
−0.915365 + 0.402625i \(0.868098\pi\)
\(102\) 0.404780 + 0.221026i 0.0400792 + 0.0218849i
\(103\) 0.0737520 + 1.03119i 0.00726700 + 0.101606i 0.999791 0.0204436i \(-0.00650786\pi\)
−0.992524 + 0.122050i \(0.961053\pi\)
\(104\) 0.604288 + 0.523619i 0.0592553 + 0.0513450i
\(105\) 0.704700 0.393122i 0.0687717 0.0383648i
\(106\) −1.61280 + 0.736541i −0.156649 + 0.0715392i
\(107\) 16.8834 + 3.67277i 1.63218 + 0.355060i 0.932999 0.359880i \(-0.117182\pi\)
0.699186 + 0.714940i \(0.253546\pi\)
\(108\) −0.479249 0.877679i −0.0461158 0.0844547i
\(109\) −0.277224 1.92813i −0.0265532 0.184682i 0.972228 0.234035i \(-0.0751930\pi\)
−0.998781 + 0.0493534i \(0.984284\pi\)
\(110\) −7.06546 10.7782i −0.673665 1.02766i
\(111\) 8.78989 + 1.26379i 0.834299 + 0.119954i
\(112\) 0.0767091 + 0.352626i 0.00724833 + 0.0333200i
\(113\) 3.97474 + 0.284279i 0.373912 + 0.0267427i 0.257031 0.966403i \(-0.417256\pi\)
0.116881 + 0.993146i \(0.462710\pi\)
\(114\) −6.26535 −0.586804
\(115\) −2.90041 10.3241i −0.270465 0.962730i
\(116\) −9.57064 −0.888612
\(117\) −0.797550 0.0570419i −0.0737336 0.00527353i
\(118\) −3.04795 14.0112i −0.280586 1.28983i
\(119\) 0.164738 + 0.0236858i 0.0151015 + 0.00217127i
\(120\) 0.455502 2.18918i 0.0415815 0.199844i
\(121\) 3.16194 + 21.9918i 0.287449 + 1.99925i
\(122\) −3.76750 6.89967i −0.341094 0.624666i
\(123\) −3.93679 0.856396i −0.354968 0.0772187i
\(124\) 1.42249 0.649629i 0.127743 0.0583384i
\(125\) −9.12904 6.45450i −0.816527 0.577308i
\(126\) −0.272730 0.236322i −0.0242967 0.0210532i
\(127\) −0.929590 12.9974i −0.0824878 1.15333i −0.855104 0.518456i \(-0.826507\pi\)
0.772616 0.634873i \(-0.218948\pi\)
\(128\) 0.877679 + 0.479249i 0.0775766 + 0.0423600i
\(129\) 2.99185 + 6.55125i 0.263418 + 0.576805i
\(130\) −1.27566 1.25276i −0.111883 0.109874i
\(131\) −11.2792 3.31187i −0.985468 0.289359i −0.250988 0.967990i \(-0.580756\pi\)
−0.734480 + 0.678631i \(0.762574\pi\)
\(132\) −3.45394 + 4.61392i −0.300627 + 0.401590i
\(133\) −2.11844 + 0.790137i −0.183692 + 0.0685136i
\(134\) −1.68112 + 11.6925i −0.145227 + 1.01008i
\(135\) 0.947280 + 2.02550i 0.0815288 + 0.174328i
\(136\) 0.348547 0.302017i 0.0298876 0.0258978i
\(137\) 7.32599 + 7.32599i 0.625902 + 0.625902i 0.947034 0.321133i \(-0.104064\pi\)
−0.321133 + 0.947034i \(0.604064\pi\)
\(138\) −3.89815 + 2.79364i −0.331833 + 0.237810i
\(139\) 0.971160i 0.0823727i −0.999151 0.0411864i \(-0.986886\pi\)
0.999151 0.0411864i \(-0.0131137\pi\)
\(140\) −0.122068 0.797650i −0.0103166 0.0674138i
\(141\) −1.66984 1.07314i −0.140625 0.0903745i
\(142\) −2.25714 3.01519i −0.189415 0.253029i
\(143\) 1.61048 + 4.31786i 0.134675 + 0.361078i
\(144\) −0.989821 + 0.142315i −0.0824851 + 0.0118596i
\(145\) 21.3590 + 1.33331i 1.77377 + 0.110726i
\(146\) 13.5960 8.73760i 1.12521 0.723129i
\(147\) 6.43663 + 2.40074i 0.530884 + 0.198010i
\(148\) 4.25586 7.79403i 0.349830 0.640665i
\(149\) −9.21404 + 10.6336i −0.754844 + 0.871136i −0.995028 0.0995909i \(-0.968247\pi\)
0.240185 + 0.970727i \(0.422792\pi\)
\(150\) −1.32154 + 4.82219i −0.107903 + 0.393730i
\(151\) 13.6711 4.01420i 1.11254 0.326671i 0.326717 0.945122i \(-0.394058\pi\)
0.785823 + 0.618451i \(0.212240\pi\)
\(152\) −2.18952 + 5.87032i −0.177593 + 0.476146i
\(153\) −0.0980337 + 0.450654i −0.00792555 + 0.0364332i
\(154\) −0.585973 + 1.99564i −0.0472191 + 0.160813i
\(155\) −3.26510 + 1.25162i −0.262259 + 0.100533i
\(156\) −0.332161 + 0.727331i −0.0265941 + 0.0582331i
\(157\) −15.8500 + 11.8652i −1.26497 + 0.946946i −0.999851 0.0172697i \(-0.994503\pi\)
−0.265120 + 0.964215i \(0.585412\pi\)
\(158\) 3.52870 0.767621i 0.280728 0.0610687i
\(159\) −1.16108 1.33996i −0.0920799 0.106266i
\(160\) −1.89197 1.19182i −0.149573 0.0942219i
\(161\) −0.965730 + 1.43619i −0.0761102 + 0.113188i
\(162\) 0.707107 0.707107i 0.0555556 0.0555556i
\(163\) 1.36794 19.1263i 0.107145 1.49808i −0.605097 0.796151i \(-0.706866\pi\)
0.712243 0.701933i \(-0.247680\pi\)
\(164\) −2.17817 + 3.38930i −0.170086 + 0.264659i
\(165\) 8.35101 9.81582i 0.650125 0.764160i
\(166\) −0.697868 0.318706i −0.0541651 0.0247364i
\(167\) 2.59250 + 1.94072i 0.200614 + 0.150177i 0.694862 0.719144i \(-0.255466\pi\)
−0.494248 + 0.869321i \(0.664557\pi\)
\(168\) −0.316731 + 0.172948i −0.0244363 + 0.0133432i
\(169\) −6.68268 10.3984i −0.514052 0.799881i
\(170\) −0.819935 + 0.625462i −0.0628861 + 0.0479708i
\(171\) −1.76515 6.01156i −0.134985 0.459716i
\(172\) 7.18373 0.513791i 0.547755 0.0391762i
\(173\) 5.01029 0.358343i 0.380925 0.0272443i 0.120436 0.992721i \(-0.461571\pi\)
0.260489 + 0.965477i \(0.416116\pi\)
\(174\) −2.69636 9.18296i −0.204411 0.696159i
\(175\) 0.161300 + 1.79714i 0.0121931 + 0.135851i
\(176\) 3.11598 + 4.84857i 0.234876 + 0.365474i
\(177\) 12.5849 6.87189i 0.945941 0.516523i
\(178\) −3.48013 2.60520i −0.260847 0.195268i
\(179\) −21.3868 9.76701i −1.59852 0.730020i −0.600925 0.799305i \(-0.705201\pi\)
−0.997597 + 0.0692850i \(0.977928\pi\)
\(180\) 2.22883 0.179713i 0.166128 0.0133950i
\(181\) 2.81747 4.38407i 0.209421 0.325865i −0.720614 0.693336i \(-0.756140\pi\)
0.930035 + 0.367471i \(0.119776\pi\)
\(182\) −0.0205849 + 0.287814i −0.00152585 + 0.0213342i
\(183\) 5.55875 5.55875i 0.410915 0.410915i
\(184\) 1.25524 + 4.62865i 0.0925372 + 0.341228i
\(185\) −10.5837 + 16.8012i −0.778130 + 1.23525i
\(186\) 1.02408 + 1.18185i 0.0750888 + 0.0866571i
\(187\) 2.59734 0.565017i 0.189936 0.0413181i
\(188\) −1.58902 + 1.18953i −0.115891 + 0.0867553i
\(189\) 0.149912 0.328262i 0.0109045 0.0238775i
\(190\) 5.70421 12.7959i 0.413827 0.928313i
\(191\) 5.16909 17.6043i 0.374022 1.27380i −0.530613 0.847614i \(-0.678038\pi\)
0.904635 0.426188i \(-0.140144\pi\)
\(192\) −0.212565 + 0.977147i −0.0153406 + 0.0705195i
\(193\) −1.53559 + 4.11709i −0.110535 + 0.296354i −0.980426 0.196889i \(-0.936916\pi\)
0.869891 + 0.493244i \(0.164189\pi\)
\(194\) −0.924349 + 0.271413i −0.0663644 + 0.0194863i
\(195\) 0.842618 1.57693i 0.0603411 0.112926i
\(196\) 4.49874 5.19183i 0.321339 0.370845i
\(197\) −5.31109 + 9.72653i −0.378399 + 0.692986i −0.995588 0.0938284i \(-0.970090\pi\)
0.617189 + 0.786815i \(0.288271\pi\)
\(198\) −5.40011 2.01414i −0.383769 0.143138i
\(199\) −4.15496 + 2.67023i −0.294537 + 0.189287i −0.679561 0.733619i \(-0.737830\pi\)
0.385024 + 0.922907i \(0.374193\pi\)
\(200\) 4.05632 + 2.92340i 0.286825 + 0.206715i
\(201\) −11.6925 + 1.68112i −0.824723 + 0.118577i
\(202\) −0.0984471 0.263947i −0.00692671 0.0185712i
\(203\) −2.06978 2.76490i −0.145270 0.194058i
\(204\) 0.387980 + 0.249340i 0.0271641 + 0.0174573i
\(205\) 5.33324 7.26052i 0.372490 0.507097i
\(206\) 1.03382i 0.0720298i
\(207\) −3.77871 2.95319i −0.262639 0.205261i
\(208\) 0.565394 + 0.565394i 0.0392030 + 0.0392030i
\(209\) −27.2904 + 23.6473i −1.88772 + 1.63572i
\(210\) 0.730949 0.341848i 0.0504403 0.0235897i
\(211\) −2.57004 + 17.8750i −0.176929 + 1.23057i 0.686889 + 0.726762i \(0.258976\pi\)
−0.863818 + 0.503804i \(0.831933\pi\)
\(212\) −1.66123 + 0.619608i −0.114094 + 0.0425549i
\(213\) 2.25714 3.01519i 0.154657 0.206598i
\(214\) 16.5784 + 4.86786i 1.13328 + 0.332760i
\(215\) −16.1037 + 0.145853i −1.09826 + 0.00994711i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) 0.495305 + 0.270457i 0.0336235 + 0.0183598i
\(218\) −0.138966 1.94300i −0.00941196 0.131596i
\(219\) 12.2141 + 10.5836i 0.825352 + 0.715172i
\(220\) −6.27855 11.2548i −0.423300 0.758795i
\(221\) 0.335440 0.153190i 0.0225641 0.0103047i
\(222\) 8.67733 + 1.88764i 0.582384 + 0.126690i
\(223\) −13.6499 24.9980i −0.914067 1.67399i −0.721157 0.692772i \(-0.756389\pi\)
−0.192910 0.981216i \(-0.561793\pi\)
\(224\) 0.0513576 + 0.357200i 0.00343147 + 0.0238664i
\(225\) −4.99918 + 0.0905640i −0.333279 + 0.00603760i
\(226\) 3.94433 + 0.567110i 0.262373 + 0.0377236i
\(227\) 2.27802 + 10.4719i 0.151197 + 0.695043i 0.988859 + 0.148854i \(0.0475584\pi\)
−0.837662 + 0.546189i \(0.816078\pi\)
\(228\) −6.24939 0.446965i −0.413876 0.0296010i
\(229\) 15.3433 1.01391 0.506956 0.861972i \(-0.330771\pi\)
0.506956 + 0.861972i \(0.330771\pi\)
\(230\) −2.15651 10.5047i −0.142196 0.692662i
\(231\) −2.07989 −0.136847
\(232\) −9.54626 0.682762i −0.626743 0.0448255i
\(233\) −2.61533 12.0225i −0.171336 0.787618i −0.979944 0.199271i \(-0.936143\pi\)
0.808609 0.588347i \(-0.200221\pi\)
\(234\) −0.791449 0.113793i −0.0517386 0.00743889i
\(235\) 3.71198 2.43333i 0.242143 0.158733i
\(236\) −2.04063 14.1929i −0.132834 0.923881i
\(237\) 1.73068 + 3.16950i 0.112419 + 0.205881i
\(238\) 0.162629 + 0.0353777i 0.0105417 + 0.00229320i
\(239\) −0.814929 + 0.372166i −0.0527134 + 0.0240734i −0.441597 0.897213i \(-0.645588\pi\)
0.388884 + 0.921287i \(0.372861\pi\)
\(240\) 0.610516 2.15111i 0.0394086 0.138853i
\(241\) 9.47083 + 8.20652i 0.610070 + 0.528629i 0.904185 0.427141i \(-0.140479\pi\)
−0.294115 + 0.955770i \(0.595025\pi\)
\(242\) 1.58501 + 22.1613i 0.101888 + 1.42458i
\(243\) 0.877679 + 0.479249i 0.0563031 + 0.0307438i
\(244\) −3.26569 7.15086i −0.209064 0.457787i
\(245\) −10.7632 + 10.9600i −0.687638 + 0.700208i
\(246\) −3.86567 1.13506i −0.246466 0.0723689i
\(247\) −3.00220 + 4.01047i −0.191025 + 0.255180i
\(248\) 1.46521 0.546494i 0.0930408 0.0347024i
\(249\) 0.109184 0.759390i 0.00691924 0.0481244i
\(250\) −8.64533 7.08931i −0.546778 0.448367i
\(251\) −14.1724 + 12.2804i −0.894553 + 0.775135i −0.975135 0.221613i \(-0.928868\pi\)
0.0805816 + 0.996748i \(0.474322\pi\)
\(252\) −0.255176 0.255176i −0.0160746 0.0160746i
\(253\) −6.43541 + 26.8812i −0.404591 + 1.69001i
\(254\) 13.0306i 0.817610i
\(255\) −0.831129 0.610508i −0.0520473 0.0382315i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) −7.99838 10.6846i −0.498925 0.666486i 0.478421 0.878130i \(-0.341209\pi\)
−0.977347 + 0.211644i \(0.932118\pi\)
\(258\) 2.51687 + 6.74799i 0.156693 + 0.420112i
\(259\) 3.17203 0.456069i 0.197100 0.0283388i
\(260\) −1.18304 1.34057i −0.0733688 0.0831386i
\(261\) 8.05134 5.17428i 0.498365 0.320280i
\(262\) −11.0142 4.10808i −0.680459 0.253798i
\(263\) 11.8502 21.7021i 0.730716 1.33821i −0.202639 0.979253i \(-0.564952\pi\)
0.933355 0.358954i \(-0.116866\pi\)
\(264\) −3.77429 + 4.35576i −0.232292 + 0.268079i
\(265\) 3.79374 1.15136i 0.233047 0.0707277i
\(266\) −2.16941 + 0.636996i −0.133015 + 0.0390568i
\(267\) 1.51920 4.07313i 0.0929735 0.249272i
\(268\) −2.51097 + 11.5427i −0.153382 + 0.705086i
\(269\) 6.17359 21.0253i 0.376410 1.28194i −0.525789 0.850615i \(-0.676230\pi\)
0.902199 0.431320i \(-0.141952\pi\)
\(270\) 0.800368 + 2.08792i 0.0487089 + 0.127067i
\(271\) −10.1843 + 22.3005i −0.618652 + 1.35466i 0.297843 + 0.954615i \(0.403733\pi\)
−0.916496 + 0.400045i \(0.868995\pi\)
\(272\) 0.369204 0.276383i 0.0223863 0.0167582i
\(273\) −0.281955 + 0.0613356i −0.0170647 + 0.00371220i
\(274\) 6.78470 + 7.82996i 0.409878 + 0.473025i
\(275\) 12.4441 + 25.9922i 0.750405 + 1.56739i
\(276\) −4.08751 + 2.50843i −0.246039 + 0.150990i
\(277\) 8.22454 8.22454i 0.494165 0.494165i −0.415451 0.909616i \(-0.636376\pi\)
0.909616 + 0.415451i \(0.136376\pi\)
\(278\) 0.0692817 0.968685i 0.00415524 0.0580979i
\(279\) −0.845457 + 1.31556i −0.0506162 + 0.0787604i
\(280\) −0.0648534 0.804326i −0.00387573 0.0480677i
\(281\) 13.1859 + 6.02180i 0.786605 + 0.359230i 0.767879 0.640594i \(-0.221312\pi\)
0.0187252 + 0.999825i \(0.494039\pi\)
\(282\) −1.58902 1.18953i −0.0946250 0.0708354i
\(283\) 6.02193 3.28822i 0.357966 0.195464i −0.290195 0.956968i \(-0.593720\pi\)
0.648161 + 0.761503i \(0.275538\pi\)
\(284\) −2.03629 3.16853i −0.120832 0.188018i
\(285\) 13.8846 + 1.86812i 0.822455 + 0.110658i
\(286\) 1.29834 + 4.42175i 0.0767726 + 0.261464i
\(287\) −1.45020 + 0.103721i −0.0856028 + 0.00612243i
\(288\) −0.997452 + 0.0713392i −0.0587754 + 0.00420370i
\(289\) 4.72953 + 16.1073i 0.278208 + 0.947488i
\(290\) 21.2095 + 2.85365i 1.24546 + 0.167572i
\(291\) −0.520838 0.810440i −0.0305321 0.0475088i
\(292\) 14.1847 7.74541i 0.830095 0.453266i
\(293\) 14.7363 + 11.0314i 0.860903 + 0.644464i 0.935724 0.352733i \(-0.114748\pi\)
−0.0748210 + 0.997197i \(0.523839\pi\)
\(294\) 6.24896 + 2.85381i 0.364447 + 0.166437i
\(295\) 2.57688 + 31.9590i 0.150032 + 1.86072i
\(296\) 4.80104 7.47056i 0.279055 0.434218i
\(297\) 0.411163 5.74882i 0.0238581 0.333580i
\(298\) −9.94916 + 9.94916i −0.576339 + 0.576339i
\(299\) −0.0796797 + 3.83386i −0.00460799 + 0.221718i
\(300\) −1.66218 + 4.71563i −0.0959660 + 0.272257i
\(301\) 1.70201 + 1.96422i 0.0981021 + 0.113216i
\(302\) 13.9227 3.02869i 0.801159 0.174281i
\(303\) 0.225519 0.168822i 0.0129558 0.00969856i
\(304\) −2.60272 + 5.69917i −0.149276 + 0.326870i
\(305\) 6.29191 + 16.4137i 0.360274 + 0.939845i
\(306\) −0.129933 + 0.442512i −0.00742778 + 0.0252967i
\(307\) 4.79327 22.0343i 0.273567 1.25757i −0.611180 0.791492i \(-0.709305\pi\)
0.884746 0.466073i \(-0.154332\pi\)
\(308\) −0.726848 + 1.94875i −0.0414160 + 0.111041i
\(309\) −0.991945 + 0.291261i −0.0564298 + 0.0165693i
\(310\) −3.34607 + 1.01550i −0.190044 + 0.0576766i
\(311\) −7.29352 + 8.41717i −0.413578 + 0.477294i −0.923870 0.382707i \(-0.874992\pi\)
0.510292 + 0.860001i \(0.329537\pi\)
\(312\) −0.383202 + 0.701781i −0.0216945 + 0.0397305i
\(313\) 18.8268 + 7.02202i 1.06415 + 0.396908i 0.819723 0.572760i \(-0.194127\pi\)
0.244428 + 0.969668i \(0.421400\pi\)
\(314\) −16.6561 + 10.7042i −0.939959 + 0.604075i
\(315\) 0.533933 + 0.605031i 0.0300837 + 0.0340896i
\(316\) 3.57447 0.513931i 0.201080 0.0289109i
\(317\) 4.13014 + 11.0733i 0.231972 + 0.621941i 0.999825 0.0186846i \(-0.00594785\pi\)
−0.767853 + 0.640626i \(0.778675\pi\)
\(318\) −1.06253 1.41938i −0.0595839 0.0795948i
\(319\) −46.4039 29.8220i −2.59812 1.66971i
\(320\) −1.80213 1.32376i −0.100742 0.0740003i
\(321\) 17.2783i 0.964381i
\(322\) −1.06573 + 1.36364i −0.0593906 + 0.0759924i
\(323\) 2.04321 + 2.04321i 0.113687 + 0.113687i
\(324\) 0.755750 0.654861i 0.0419861 0.0363812i
\(325\) 2.45345 + 3.15659i 0.136093 + 0.175096i
\(326\) 2.72890 18.9799i 0.151140 1.05120i
\(327\) 1.82514 0.680742i 0.100931 0.0376451i
\(328\) −2.41441 + 3.22527i −0.133313 + 0.178086i
\(329\) −0.687294 0.201808i −0.0378918 0.0111260i
\(330\) 9.02999 9.19505i 0.497084 0.506171i
\(331\) 3.11744 + 6.82625i 0.171350 + 0.375204i 0.975751 0.218882i \(-0.0702410\pi\)
−0.804401 + 0.594086i \(0.797514\pi\)
\(332\) −0.673354 0.367679i −0.0369551 0.0201790i
\(333\) 0.633511 + 8.85765i 0.0347162 + 0.485396i
\(334\) 2.44744 + 2.12072i 0.133918 + 0.116041i
\(335\) 7.21185 25.4104i 0.394025 1.38832i
\(336\) −0.328262 + 0.149912i −0.0179081 + 0.00817837i
\(337\) −20.7329 4.51016i −1.12939 0.245684i −0.391220 0.920297i \(-0.627947\pi\)
−0.738171 + 0.674613i \(0.764310\pi\)
\(338\) −5.92383 10.8487i −0.322214 0.590091i
\(339\) 0.567110 + 3.94433i 0.0308012 + 0.214227i
\(340\) −0.862466 + 0.565375i −0.0467738 + 0.0306618i
\(341\) 8.92126 + 1.28268i 0.483113 + 0.0694612i
\(342\) −1.33180 6.12217i −0.0720153 0.331049i
\(343\) 4.99247 + 0.357069i 0.269568 + 0.0192799i
\(344\) 7.20208 0.388310
\(345\) 9.47166 5.02868i 0.509937 0.270735i
\(346\) 5.02309 0.270043
\(347\) 34.0635 + 2.43627i 1.82863 + 0.130786i 0.942827 0.333283i \(-0.108156\pi\)
0.885799 + 0.464069i \(0.153611\pi\)
\(348\) −2.03439 9.35192i −0.109055 0.501316i
\(349\) −18.9904 2.73040i −1.01653 0.146155i −0.386146 0.922437i \(-0.626194\pi\)
−0.630385 + 0.776282i \(0.717103\pi\)
\(350\) 0.0326821 + 1.80407i 0.00174693 + 0.0964315i
\(351\) −0.113793 0.791449i −0.00607383 0.0422444i
\(352\) 2.76215 + 5.05850i 0.147223 + 0.269619i
\(353\) −11.9237 2.59384i −0.634635 0.138056i −0.116272 0.993217i \(-0.537095\pi\)
−0.518362 + 0.855161i \(0.673458\pi\)
\(354\) 13.0431 5.95658i 0.693233 0.316589i
\(355\) 4.10303 + 7.35497i 0.217766 + 0.390361i
\(356\) −3.28542 2.84683i −0.174127 0.150882i
\(357\) 0.0118731 + 0.166008i 0.000628393 + 0.00878608i
\(358\) −20.6355 11.2678i −1.09062 0.595524i
\(359\) 9.74579 + 21.3403i 0.514363 + 1.12630i 0.971530 + 0.236917i \(0.0761370\pi\)
−0.457167 + 0.889381i \(0.651136\pi\)
\(360\) 2.23598 0.0202515i 0.117846 0.00106735i
\(361\) −19.4342 5.70639i −1.02285 0.300337i
\(362\) 3.12305 4.17190i 0.164144 0.219270i
\(363\) −20.8171 + 7.76437i −1.09261 + 0.407524i
\(364\) −0.0410649 + 0.285613i −0.00215239 + 0.0149702i
\(365\) −32.7353 + 15.3095i −1.71344 + 0.801337i
\(366\) 5.94115 5.14803i 0.310549 0.269092i
\(367\) 0.783118 + 0.783118i 0.0408784 + 0.0408784i 0.727251 0.686372i \(-0.240798\pi\)
−0.686372 + 0.727251i \(0.740798\pi\)
\(368\) 0.921834 + 4.70640i 0.0480539 + 0.245338i
\(369\) 4.02886i 0.209734i
\(370\) −11.7553 + 16.0034i −0.611131 + 0.831976i
\(371\) −0.538265 0.345922i −0.0279453 0.0179594i
\(372\) 0.937154 + 1.25189i 0.0485892 + 0.0649075i
\(373\) 2.78539 + 7.46791i 0.144222 + 0.386674i 0.988896 0.148606i \(-0.0474788\pi\)
−0.844675 + 0.535280i \(0.820206\pi\)
\(374\) 2.63103 0.378285i 0.136047 0.0195607i
\(375\) 4.36648 10.2924i 0.225484 0.531498i
\(376\) −1.66984 + 1.07314i −0.0861152 + 0.0553429i
\(377\) −7.17007 2.67430i −0.369277 0.137733i
\(378\) 0.172948 0.316731i 0.00889549 0.0162909i
\(379\) 5.98350 6.90533i 0.307352 0.354703i −0.580970 0.813925i \(-0.697326\pi\)
0.888321 + 0.459223i \(0.151872\pi\)
\(380\) 6.60252 12.3564i 0.338702 0.633869i
\(381\) 12.5027 3.67113i 0.640535 0.188078i
\(382\) 6.41179 17.1907i 0.328056 0.879552i
\(383\) 6.19095 28.4593i 0.316343 1.45420i −0.494621 0.869109i \(-0.664693\pi\)
0.810964 0.585096i \(-0.198943\pi\)
\(384\) −0.281733 + 0.959493i −0.0143771 + 0.0489639i
\(385\) 1.89361 4.24782i 0.0965073 0.216489i
\(386\) −1.82539 + 3.99705i −0.0929100 + 0.203444i
\(387\) −5.76556 + 4.31605i −0.293080 + 0.219397i
\(388\) −0.941356 + 0.204779i −0.0477901 + 0.0103961i
\(389\) 8.80964 + 10.1669i 0.446666 + 0.515480i 0.933775 0.357861i \(-0.116494\pi\)
−0.487109 + 0.873341i \(0.661948\pi\)
\(390\) 0.952967 1.51280i 0.0482554 0.0766035i
\(391\) 2.18228 + 0.360195i 0.110363 + 0.0182159i
\(392\) 4.85766 4.85766i 0.245349 0.245349i
\(393\) 0.838619 11.7254i 0.0423027 0.591469i
\(394\) −5.99144 + 9.32286i −0.301844 + 0.469679i
\(395\) −8.04882 + 0.648983i −0.404980 + 0.0326539i
\(396\) −5.24266 2.39424i −0.263454 0.120315i
\(397\) 24.7711 + 18.5434i 1.24322 + 0.930666i 0.999235 0.0391115i \(-0.0124528\pi\)
0.243990 + 0.969778i \(0.421544\pi\)
\(398\) −4.33486 + 2.36701i −0.217287 + 0.118648i
\(399\) −1.22239 1.90207i −0.0611959 0.0952227i
\(400\) 3.83743 + 3.20532i 0.191872 + 0.160266i
\(401\) −4.94425 16.8386i −0.246904 0.840877i −0.985924 0.167194i \(-0.946529\pi\)
0.739020 0.673683i \(-0.235289\pi\)
\(402\) −11.7826 + 0.842709i −0.587663 + 0.0420305i
\(403\) 1.24721 0.0892025i 0.0621282 0.00444349i
\(404\) −0.0793665 0.270298i −0.00394863 0.0134478i
\(405\) −1.77785 + 1.35618i −0.0883423 + 0.0673893i
\(406\) −1.86726 2.90551i −0.0926705 0.144198i
\(407\) 44.9209 24.5287i 2.22665 1.21584i
\(408\) 0.369204 + 0.276383i 0.0182783 + 0.0136830i
\(409\) −12.0424 5.49957i −0.595457 0.271936i 0.0948045 0.995496i \(-0.469777\pi\)
−0.690262 + 0.723560i \(0.742505\pi\)
\(410\) 5.83761 6.86156i 0.288299 0.338868i
\(411\) −5.60132 + 8.71582i −0.276293 + 0.429920i
\(412\) −0.0737520 + 1.03119i −0.00363350 + 0.0508030i
\(413\) 3.65893 3.65893i 0.180044 0.180044i
\(414\) −3.55841 3.21523i −0.174886 0.158020i
\(415\) 1.45152 + 0.914365i 0.0712522 + 0.0448844i
\(416\) 0.523619 + 0.604288i 0.0256725 + 0.0296277i
\(417\) 0.948966 0.206435i 0.0464711 0.0101092i
\(418\) −28.9078 + 21.6401i −1.41393 + 1.05845i
\(419\) −6.49538 + 14.2229i −0.317320 + 0.694834i −0.999333 0.0365056i \(-0.988377\pi\)
0.682013 + 0.731340i \(0.261105\pi\)
\(420\) 0.753474 0.288831i 0.0367658 0.0140935i
\(421\) −9.21735 + 31.3914i −0.449226 + 1.52992i 0.354577 + 0.935027i \(0.384625\pi\)
−0.803803 + 0.594896i \(0.797193\pi\)
\(422\) −3.83868 + 17.6461i −0.186864 + 0.859000i
\(423\) 0.693664 1.85979i 0.0337271 0.0904259i
\(424\) −1.70120 + 0.499519i −0.0826178 + 0.0242588i
\(425\) 2.00355 1.14161i 0.0971864 0.0553762i
\(426\) 2.46650 2.84649i 0.119502 0.137913i
\(427\) 1.35959 2.48990i 0.0657952 0.120495i
\(428\) 16.1889 + 6.03815i 0.782520 + 0.291865i
\(429\) −3.87685 + 2.49150i −0.187176 + 0.120291i
\(430\) −16.0731 1.00334i −0.775112 0.0483855i
\(431\) 7.02890 1.01060i 0.338570 0.0486790i 0.0290670 0.999577i \(-0.490746\pi\)
0.309503 + 0.950898i \(0.399837\pi\)
\(432\) −0.349464 0.936950i −0.0168136 0.0450790i
\(433\) 12.9175 + 17.2557i 0.620775 + 0.829258i 0.995186 0.0980046i \(-0.0312460\pi\)
−0.374411 + 0.927263i \(0.622155\pi\)
\(434\) 0.474749 + 0.305103i 0.0227887 + 0.0146454i
\(435\) 3.23735 + 21.1543i 0.155219 + 1.01427i
\(436\) 1.94796i 0.0932904i
\(437\) −28.3652 + 9.91330i −1.35689 + 0.474218i
\(438\) 11.4280 + 11.4280i 0.546049 + 0.546049i
\(439\) 16.3594 14.1755i 0.780794 0.676561i −0.170325 0.985388i \(-0.554482\pi\)
0.951118 + 0.308827i \(0.0999363\pi\)
\(440\) −5.45965 11.6740i −0.260278 0.556535i
\(441\) −0.977670 + 6.79985i −0.0465557 + 0.323802i
\(442\) 0.345514 0.128870i 0.0164344 0.00612972i
\(443\) −11.8413 + 15.8181i −0.562597 + 0.751541i −0.988167 0.153384i \(-0.950983\pi\)
0.425570 + 0.904926i \(0.360074\pi\)
\(444\) 8.52056 + 2.50186i 0.404368 + 0.118733i
\(445\) 6.93554 + 6.81104i 0.328776 + 0.322874i
\(446\) −11.8318 25.9081i −0.560253 1.22678i
\(447\) −12.3492 6.74315i −0.584095 0.318940i
\(448\) 0.0257444 + 0.359954i 0.00121631 + 0.0170062i
\(449\) 18.6316 + 16.1444i 0.879279 + 0.761899i 0.972293 0.233765i \(-0.0751047\pi\)
−0.0930142 + 0.995665i \(0.529650\pi\)
\(450\) −4.99290 0.266304i −0.235368 0.0125537i
\(451\) −21.1220 + 9.64608i −0.994595 + 0.454216i
\(452\) 3.89383 + 0.847050i 0.183150 + 0.0398419i
\(453\) 6.82847 + 12.5054i 0.320830 + 0.587555i
\(454\) 1.52516 + 10.6077i 0.0715793 + 0.497845i
\(455\) 0.131435 0.631688i 0.00616177 0.0296140i
\(456\) −6.20158 0.891653i −0.290416 0.0417555i
\(457\) −3.93623 18.0946i −0.184129 0.846428i −0.972806 0.231620i \(-0.925597\pi\)
0.788677 0.614808i \(-0.210766\pi\)
\(458\) 15.3042 + 1.09458i 0.715118 + 0.0511462i
\(459\) −0.461193 −0.0215267
\(460\) −1.40162 10.6318i −0.0653507 0.495711i
\(461\) 15.8460 0.738023 0.369011 0.929425i \(-0.379696\pi\)
0.369011 + 0.929425i \(0.379696\pi\)
\(462\) −2.07459 0.148378i −0.0965188 0.00690316i
\(463\) −2.71946 12.5011i −0.126384 0.580978i −0.996162 0.0875337i \(-0.972101\pi\)
0.869778 0.493444i \(-0.164262\pi\)
\(464\) −9.47323 1.36204i −0.439784 0.0632313i
\(465\) −1.91706 2.92443i −0.0889018 0.135617i
\(466\) −1.75099 12.1784i −0.0811131 0.564154i
\(467\) 8.83148 + 16.1736i 0.408672 + 0.748427i 0.998241 0.0592913i \(-0.0188841\pi\)
−0.589569 + 0.807718i \(0.700702\pi\)
\(468\) −0.781315 0.169965i −0.0361163 0.00785662i
\(469\) −3.87766 + 1.77087i −0.179054 + 0.0817710i
\(470\) 3.87611 2.16232i 0.178792 0.0997403i
\(471\) −14.9632 12.9657i −0.689468 0.597428i
\(472\) −1.02292 14.3023i −0.0470839 0.658319i
\(473\) 36.4318 + 19.8932i 1.67513 + 0.914693i
\(474\) 1.50016 + 3.28489i 0.0689045 + 0.150880i
\(475\) −16.4564 + 26.6562i −0.755072 + 1.22307i
\(476\) 0.159691 + 0.0468894i 0.00731940 + 0.00214917i
\(477\) 1.06253 1.41938i 0.0486501 0.0649889i
\(478\) −0.839403 + 0.313081i −0.0383934 + 0.0143200i
\(479\) 1.14116 7.93694i 0.0521409 0.362648i −0.947001 0.321230i \(-0.895904\pi\)
0.999142 0.0414174i \(-0.0131873\pi\)
\(480\) 0.762419 2.10207i 0.0347995 0.0959461i
\(481\) 5.36624 4.64988i 0.244680 0.212016i
\(482\) 8.86126 + 8.86126i 0.403619 + 0.403619i
\(483\) −1.60865 0.638376i −0.0731960 0.0290471i
\(484\) 22.2179i 1.00991i
\(485\) 2.12937 0.325868i 0.0966899 0.0147969i
\(486\) 0.841254 + 0.540641i 0.0381600 + 0.0245240i
\(487\) 1.82747 + 2.44121i 0.0828104 + 0.110622i 0.840033 0.542535i \(-0.182535\pi\)
−0.757223 + 0.653156i \(0.773444\pi\)
\(488\) −2.74723 7.36561i −0.124361 0.333425i
\(489\) 18.9799 2.72890i 0.858303 0.123405i
\(490\) −11.5177 + 10.1642i −0.520316 + 0.459173i
\(491\) −9.02477 + 5.79986i −0.407282 + 0.261744i −0.728203 0.685362i \(-0.759644\pi\)
0.320921 + 0.947106i \(0.396008\pi\)
\(492\) −3.77484 1.40794i −0.170183 0.0634750i
\(493\) −2.11536 + 3.87400i −0.0952712 + 0.174476i
\(494\) −3.28066 + 3.78608i −0.147604 + 0.170344i
\(495\) 11.3666 + 6.07366i 0.510892 + 0.272991i
\(496\) 1.50046 0.440575i 0.0673727 0.0197824i
\(497\) 0.474994 1.27351i 0.0213064 0.0571247i
\(498\) 0.163080 0.749666i 0.00730778 0.0335933i
\(499\) −9.61783 + 32.7553i −0.430553 + 1.46633i 0.403671 + 0.914904i \(0.367734\pi\)
−0.834224 + 0.551425i \(0.814084\pi\)
\(500\) −8.11755 7.68800i −0.363028 0.343818i
\(501\) −1.34529 + 2.94578i −0.0601033 + 0.131608i
\(502\) −15.0124 + 11.2381i −0.670034 + 0.501581i
\(503\) −25.9822 + 5.65207i −1.15849 + 0.252013i −0.750434 0.660945i \(-0.770156\pi\)
−0.408053 + 0.912958i \(0.633792\pi\)
\(504\) −0.236322 0.272730i −0.0105266 0.0121483i
\(505\) 0.139468 + 0.614286i 0.00620626 + 0.0273354i
\(506\) −8.33670 + 26.3536i −0.370611 + 1.17156i
\(507\) 8.74031 8.74031i 0.388171 0.388171i
\(508\) 0.929590 12.9974i 0.0412439 0.576665i
\(509\) 23.7233 36.9141i 1.05152 1.63619i 0.329727 0.944076i \(-0.393043\pi\)
0.721789 0.692114i \(-0.243320\pi\)
\(510\) −0.785458 0.668245i −0.0347807 0.0295904i
\(511\) 5.30522 + 2.42281i 0.234689 + 0.107179i
\(512\) 0.800541 + 0.599278i 0.0353793 + 0.0264846i
\(513\) 5.49897 3.00266i 0.242785 0.132571i
\(514\) −7.21577 11.2280i −0.318274 0.495244i
\(515\) 0.308252 2.29105i 0.0135832 0.100956i
\(516\) 2.02906 + 6.91035i 0.0893244 + 0.304211i
\(517\) −11.4110 + 0.816133i −0.501857 + 0.0358935i
\(518\) 3.19649 0.228617i 0.140446 0.0100449i
\(519\) 1.41517 + 4.81962i 0.0621190 + 0.211558i
\(520\) −1.08439 1.42155i −0.0475535 0.0623391i
\(521\) −0.837441 1.30308i −0.0366889 0.0570891i 0.822425 0.568874i \(-0.192621\pi\)
−0.859114 + 0.511785i \(0.828984\pi\)
\(522\) 8.39995 4.58672i 0.367656 0.200755i
\(523\) 3.63611 + 2.72196i 0.158996 + 0.119023i 0.675813 0.737073i \(-0.263792\pi\)
−0.516817 + 0.856096i \(0.672883\pi\)
\(524\) −10.6931 4.88336i −0.467129 0.213330i
\(525\) −1.72178 + 0.539623i −0.0751448 + 0.0235511i
\(526\) 13.3682 20.8014i 0.582883 0.906984i
\(527\) 0.0514510 0.719379i 0.00224124 0.0313367i
\(528\) −4.07541 + 4.07541i −0.177359 + 0.177359i
\(529\) −13.2279 + 18.8155i −0.575127 + 0.818064i
\(530\) 3.86621 0.877788i 0.167937 0.0381287i
\(531\) 9.38997 + 10.8366i 0.407490 + 0.470268i
\(532\) −2.20933 + 0.480609i −0.0957864 + 0.0208371i
\(533\) −2.57889 + 1.93053i −0.111704 + 0.0836206i
\(534\) 1.80590 3.95438i 0.0781491 0.171123i
\(535\) −35.2880 15.7308i −1.52563 0.680102i
\(536\) −3.32802 + 11.3342i −0.143749 + 0.489563i
\(537\) 4.99772 22.9741i 0.215667 0.991407i
\(538\) 7.65779 20.5313i 0.330151 0.885168i
\(539\) 37.9901 11.1549i 1.63635 0.480475i
\(540\) 0.649379 + 2.13970i 0.0279448 + 0.0920779i
\(541\) 0.942307 1.08748i 0.0405130 0.0467544i −0.735131 0.677925i \(-0.762880\pi\)
0.775644 + 0.631170i \(0.217425\pi\)
\(542\) −11.7493 + 21.5172i −0.504674 + 0.924241i
\(543\) 4.88278 + 1.82118i 0.209540 + 0.0781544i
\(544\) 0.387980 0.249340i 0.0166345 0.0106904i
\(545\) −0.271376 + 4.34731i −0.0116245 + 0.186218i
\(546\) −0.285613 + 0.0410649i −0.0122231 + 0.00175742i
\(547\) 2.87929 + 7.71968i 0.123110 + 0.330070i 0.983855 0.178965i \(-0.0572750\pi\)
−0.860746 + 0.509035i \(0.830002\pi\)
\(548\) 6.20883 + 8.29402i 0.265228 + 0.354303i
\(549\) 6.61332 + 4.25012i 0.282249 + 0.181391i
\(550\) 10.5581 + 26.8137i 0.450198 + 1.14334i
\(551\) 59.9635i 2.55453i
\(552\) −4.25605 + 2.21044i −0.181149 + 0.0940826i
\(553\) 0.921497 + 0.921497i 0.0391860 + 0.0391860i
\(554\) 8.79032 7.61685i 0.373465 0.323609i
\(555\) −18.6670 6.77049i −0.792370 0.287391i
\(556\) 0.138210 0.961275i 0.00586143 0.0407671i
\(557\) −29.8178 + 11.1215i −1.26342 + 0.471232i −0.889801 0.456350i \(-0.849157\pi\)
−0.373621 + 0.927581i \(0.621884\pi\)
\(558\) −0.937154 + 1.25189i −0.0396729 + 0.0529968i
\(559\) 5.52543 + 1.62241i 0.233701 + 0.0686207i
\(560\) −0.00730824 0.806903i −0.000308829 0.0340979i
\(561\) 1.10421 + 2.41788i 0.0466198 + 0.102083i
\(562\) 12.7227 + 6.94713i 0.536675 + 0.293047i
\(563\) −2.41285 33.7361i −0.101690 1.42181i −0.750507 0.660863i \(-0.770191\pi\)
0.648817 0.760944i \(-0.275264\pi\)
\(564\) −1.50012 1.29986i −0.0631662 0.0547339i
\(565\) −8.57194 2.43284i −0.360624 0.102350i
\(566\) 6.24116 2.85024i 0.262336 0.119805i
\(567\) 0.352626 + 0.0767091i 0.0148089 + 0.00322148i
\(568\) −1.80506 3.30573i −0.0757388 0.138705i
\(569\) −6.00761 41.7839i −0.251852 1.75167i −0.587076 0.809532i \(-0.699721\pi\)
0.335224 0.942139i \(-0.391188\pi\)
\(570\) 13.7160 + 2.85388i 0.574500 + 0.119536i
\(571\) −18.6273 2.67820i −0.779527 0.112079i −0.258947 0.965892i \(-0.583375\pi\)
−0.520581 + 0.853813i \(0.674284\pi\)
\(572\) 0.979591 + 4.50311i 0.0409588 + 0.188284i
\(573\) 18.3008 + 1.30890i 0.764525 + 0.0546799i
\(574\) −1.45391 −0.0606849
\(575\) 1.64687 + 23.9225i 0.0686794 + 0.997639i
\(576\) −1.00000 −0.0416667
\(577\) −42.6704 3.05185i −1.77639 0.127050i −0.855734 0.517416i \(-0.826894\pi\)
−0.920660 + 0.390366i \(0.872348\pi\)
\(578\) 3.56840 + 16.4037i 0.148426 + 0.682302i
\(579\) −4.34941 0.625351i −0.180755 0.0259887i
\(580\) 20.9519 + 4.35945i 0.869979 + 0.181016i
\(581\) −0.0394015 0.274043i −0.00163465 0.0113692i
\(582\) −0.461695 0.845531i −0.0191379 0.0350484i
\(583\) −9.98529 2.17217i −0.413549 0.0899620i
\(584\) 14.7011 6.71376i 0.608335 0.277817i
\(585\) 1.72000 + 0.488161i 0.0711133 + 0.0201830i
\(586\) 13.9118 + 12.0546i 0.574690 + 0.497971i
\(587\) −1.26534 17.6918i −0.0522263 0.730219i −0.954340 0.298721i \(-0.903440\pi\)
0.902114 0.431498i \(-0.142015\pi\)
\(588\) 6.02945 + 3.29233i 0.248650 + 0.135773i
\(589\) 4.07015 + 8.91239i 0.167708 + 0.367229i
\(590\) 0.290384 + 32.0614i 0.0119549 + 1.31995i
\(591\) −10.6332 3.12219i −0.437391 0.128430i
\(592\) 5.32175 7.10903i 0.218723 0.292179i
\(593\) 10.0924 3.76427i 0.414445 0.154580i −0.133588 0.991037i \(-0.542650\pi\)
0.548032 + 0.836457i \(0.315377\pi\)
\(594\) 0.820232 5.70484i 0.0336545 0.234072i
\(595\) −0.349853 0.126891i −0.0143426 0.00520203i
\(596\) −10.6336 + 9.21404i −0.435568 + 0.377422i
\(597\) −3.49240 3.49240i −0.142935 0.142935i
\(598\) −0.352981 + 3.81841i −0.0144345 + 0.156146i
\(599\) 43.0835i 1.76034i 0.474655 + 0.880172i \(0.342573\pi\)
−0.474655 + 0.880172i \(0.657427\pi\)
\(600\) −1.99435 + 4.58504i −0.0814192 + 0.187183i
\(601\) −25.5337 16.4095i −1.04154 0.669357i −0.0961730 0.995365i \(-0.530660\pi\)
−0.945367 + 0.326007i \(0.894297\pi\)
\(602\) 1.55755 + 2.08064i 0.0634808 + 0.0848004i
\(603\) −4.12812 11.0679i −0.168110 0.450720i
\(604\) 14.1032 2.02774i 0.573853 0.0825076i
\(605\) 3.09524 49.5843i 0.125840 2.01589i
\(606\) 0.236988 0.152303i 0.00962700 0.00618690i
\(607\) −1.05627 0.393969i −0.0428727 0.0159907i 0.327936 0.944700i \(-0.393647\pi\)
−0.370809 + 0.928709i \(0.620920\pi\)
\(608\) −3.00266 + 5.49897i −0.121774 + 0.223013i
\(609\) 2.26175 2.61020i 0.0916507 0.105771i
\(610\) 5.10494 + 16.8207i 0.206693 + 0.681052i
\(611\) −1.52284 + 0.447146i −0.0616076 + 0.0180896i
\(612\) −0.161171 + 0.432115i −0.00651493 + 0.0174672i
\(613\) 0.422743 1.94332i 0.0170744 0.0784900i −0.967821 0.251639i \(-0.919031\pi\)
0.984896 + 0.173149i \(0.0553942\pi\)
\(614\) 6.35297 21.6362i 0.256385 0.873167i
\(615\) 8.22826 + 3.66802i 0.331796 + 0.147909i
\(616\) −0.864018 + 1.89194i −0.0348123 + 0.0762283i
\(617\) 12.1336 9.08309i 0.488480 0.365671i −0.326466 0.945209i \(-0.605858\pi\)
0.814945 + 0.579538i \(0.196767\pi\)
\(618\) −1.01020 + 0.219755i −0.0406360 + 0.00883983i
\(619\) 5.12462 + 5.91413i 0.205976 + 0.237709i 0.849333 0.527857i \(-0.177004\pi\)
−0.643357 + 0.765566i \(0.722459\pi\)
\(620\) −3.40999 + 0.774209i −0.136949 + 0.0310930i
\(621\) 2.08248 4.32010i 0.0835669 0.173360i
\(622\) −7.87541 + 7.87541i −0.315775 + 0.315775i
\(623\) 0.111917 1.56480i 0.00448385 0.0626924i
\(624\) −0.432290 + 0.672656i −0.0173054 + 0.0269278i
\(625\) 17.0451 + 18.2884i 0.681804 + 0.731535i
\(626\) 18.2778 + 8.34721i 0.730529 + 0.333622i
\(627\) −28.9078 21.6401i −1.15447 0.864224i
\(628\) −17.3773 + 9.48873i −0.693430 + 0.378641i
\(629\) −2.21421 3.44537i −0.0882862 0.137376i
\(630\) 0.489410 + 0.641580i 0.0194986 + 0.0255612i
\(631\) −9.91996 33.7843i −0.394907 1.34493i −0.881864 0.471504i \(-0.843711\pi\)
0.486956 0.873426i \(-0.338107\pi\)
\(632\) 3.60202 0.257622i 0.143281 0.0102476i
\(633\) −18.0128 + 1.28830i −0.715945 + 0.0512054i
\(634\) 3.32966 + 11.3398i 0.132238 + 0.450360i
\(635\) −3.88529 + 28.8770i −0.154183 + 1.14595i
\(636\) −0.958569 1.49156i −0.0380097 0.0591443i
\(637\) 4.82108 2.63251i 0.191018 0.104304i
\(638\) −44.1582 33.0564i −1.74824 1.30872i
\(639\) 3.42608 + 1.56464i 0.135533 + 0.0618961i
\(640\) −1.70310 1.44895i −0.0673209 0.0572747i
\(641\) 15.3426 23.8735i 0.605995 0.942947i −0.393723 0.919229i \(-0.628813\pi\)
0.999719 0.0237183i \(-0.00755046\pi\)
\(642\) −1.23262 + 17.2343i −0.0486477 + 0.680183i
\(643\) −10.7529 + 10.7529i −0.424052 + 0.424052i −0.886596 0.462544i \(-0.846937\pi\)
0.462544 + 0.886596i \(0.346937\pi\)
\(644\) −1.16029 + 1.28413i −0.0457219 + 0.0506019i
\(645\) −3.56561 15.7047i −0.140396 0.618371i
\(646\) 1.89225 + 2.18377i 0.0744494 + 0.0859192i
\(647\) 20.3844 4.43435i 0.801393 0.174332i 0.206826 0.978378i \(-0.433687\pi\)
0.594568 + 0.804045i \(0.297323\pi\)
\(648\) 0.800541 0.599278i 0.0314482 0.0235419i
\(649\) 34.3308 75.1739i 1.34760 2.95083i
\(650\) 2.22201 + 3.32358i 0.0871545 + 0.130361i
\(651\) −0.158992 + 0.541476i −0.00623137 + 0.0212221i
\(652\) 4.07597 18.7369i 0.159627 0.733794i
\(653\) 0.796548 2.13563i 0.0311713 0.0835736i −0.920432 0.390903i \(-0.872163\pi\)
0.951603 + 0.307330i \(0.0994354\pi\)
\(654\) 1.86905 0.548804i 0.0730858 0.0214599i
\(655\) 23.1836 + 12.3880i 0.905860 + 0.484039i
\(656\) −2.63834 + 3.04481i −0.103010 + 0.118880i
\(657\) −7.74541 + 14.1847i −0.302177 + 0.553396i
\(658\) −0.671147 0.250325i −0.0261640 0.00975867i
\(659\) 12.3112 7.91193i 0.479577 0.308205i −0.278425 0.960458i \(-0.589812\pi\)
0.758001 + 0.652253i \(0.226176\pi\)
\(660\) 9.66295 8.52743i 0.376130 0.331930i
\(661\) −10.8384 + 1.55832i −0.421564 + 0.0606118i −0.349833 0.936812i \(-0.613762\pi\)
−0.0717316 + 0.997424i \(0.522853\pi\)
\(662\) 2.62252 + 7.03125i 0.101927 + 0.273277i
\(663\) 0.220992 + 0.295211i 0.00858263 + 0.0114651i
\(664\) −0.645409 0.414779i −0.0250467 0.0160965i
\(665\) 4.99756 0.764800i 0.193797 0.0296577i
\(666\) 8.88027i 0.344104i
\(667\) −26.7369 37.3078i −1.03526 1.44456i
\(668\) 2.28992 + 2.28992i 0.0885996 + 0.0885996i
\(669\) 21.5252 18.6517i 0.832212 0.721116i
\(670\) 9.00623 24.8312i 0.347941 0.959312i
\(671\) 6.44806 44.8472i 0.248925 1.73131i
\(672\) −0.338120 + 0.126112i −0.0130433 + 0.00486488i
\(673\) −11.2698 + 15.0547i −0.434420 + 0.580317i −0.963316 0.268369i \(-0.913515\pi\)
0.528896 + 0.848687i \(0.322606\pi\)
\(674\) −20.3583 5.97773i −0.784172 0.230254i
\(675\) −1.15115 4.86568i −0.0443076 0.187280i
\(676\) −5.13480 11.2437i −0.197492 0.432448i
\(677\) −16.6538 9.09369i −0.640059 0.349499i 0.126224 0.992002i \(-0.459714\pi\)
−0.766283 + 0.642503i \(0.777896\pi\)
\(678\) 0.284279 + 3.97474i 0.0109177 + 0.152649i
\(679\) −0.262740 0.227666i −0.0100830 0.00873700i
\(680\) −0.900602 + 0.502407i −0.0345365 + 0.0192664i
\(681\) −9.74834 + 4.45192i −0.373557 + 0.170598i
\(682\) 8.80702 + 1.91585i 0.337238 + 0.0733617i
\(683\) 0.195824 + 0.358624i 0.00749299 + 0.0137224i 0.881399 0.472373i \(-0.156603\pi\)
−0.873906 + 0.486096i \(0.838421\pi\)
\(684\) −0.891653 6.20158i −0.0340932 0.237123i
\(685\) −12.7009 19.3749i −0.485277 0.740278i
\(686\) 4.95428 + 0.712318i 0.189155 + 0.0271964i
\(687\) 3.26145 + 14.9926i 0.124432 + 0.572005i
\(688\) 7.18373 + 0.513791i 0.273877 + 0.0195881i
\(689\) −1.41769 −0.0540096
\(690\) 9.80627 4.34017i 0.373318 0.165227i
\(691\) −14.7818 −0.562327 −0.281163 0.959660i \(-0.590720\pi\)
−0.281163 + 0.959660i \(0.590720\pi\)
\(692\) 5.01029 + 0.358343i 0.190463 + 0.0136222i
\(693\) −0.442113 2.03236i −0.0167945 0.0772030i
\(694\) 33.8029 + 4.86013i 1.28314 + 0.184488i
\(695\) −0.442365 + 2.12605i −0.0167799 + 0.0806455i
\(696\) −1.36204 9.47323i −0.0516282 0.359082i
\(697\) 0.890485 + 1.63080i 0.0337295 + 0.0617710i
\(698\) −18.7472 4.07821i −0.709592 0.154362i
\(699\) 11.1918 5.11112i 0.423312 0.193320i
\(700\) −0.0961020 + 1.80180i −0.00363231 + 0.0681018i
\(701\) −3.98777 3.45542i −0.150616 0.130509i 0.576293 0.817243i \(-0.304499\pi\)
−0.726909 + 0.686733i \(0.759044\pi\)
\(702\) −0.0570419 0.797550i −0.00215291 0.0301016i
\(703\) 48.8323 + 26.6645i 1.84175 + 1.00567i
\(704\) 2.39424 + 5.24266i 0.0902365 + 0.197590i
\(705\) 3.16676 + 3.10991i 0.119267 + 0.117126i
\(706\) −11.7083 3.43786i −0.440647 0.129386i
\(707\) 0.0609232 0.0813839i 0.00229125 0.00306076i
\(708\) 13.4348 5.01092i 0.504911 0.188322i
\(709\) 6.69562 46.5691i 0.251459 1.74894i −0.338006 0.941144i \(-0.609752\pi\)
0.589465 0.807794i \(-0.299339\pi\)
\(710\) 3.56787 + 7.62894i 0.133900 + 0.286309i
\(711\) −2.72918 + 2.36485i −0.102352 + 0.0886888i
\(712\) −3.07395 3.07395i −0.115201 0.115201i
\(713\) 6.50627 + 3.73025i 0.243662 + 0.139699i
\(714\) 0.166432i 0.00622857i
\(715\) −1.55884 10.1862i −0.0582972 0.380941i
\(716\) −19.7791 12.7112i −0.739179 0.475042i
\(717\) −0.536886 0.717196i −0.0200504 0.0267842i
\(718\) 8.19856 + 21.9812i 0.305968 + 0.820331i
\(719\) 4.83162 0.694681i 0.180189 0.0259072i −0.0516297 0.998666i \(-0.516442\pi\)
0.231819 + 0.972759i \(0.425532\pi\)
\(720\) 2.23172 + 0.139313i 0.0831714 + 0.00519188i
\(721\) −0.313853 + 0.201701i −0.0116885 + 0.00751175i
\(722\) −18.9776 7.07827i −0.706273 0.263426i
\(723\) −6.00581 + 10.9988i −0.223358 + 0.409050i
\(724\) 3.41271 3.93848i 0.126832 0.146372i
\(725\) −46.1515 12.6480i −1.71402 0.469733i
\(726\) −21.3180 + 6.25952i −0.791184 + 0.232312i
\(727\) −0.680832 + 1.82538i −0.0252507 + 0.0676996i −0.948963 0.315386i \(-0.897866\pi\)
0.923713 + 0.383086i \(0.125139\pi\)
\(728\) −0.0613356 + 0.281955i −0.00227325 + 0.0104500i
\(729\) −0.281733 + 0.959493i −0.0104345 + 0.0355368i
\(730\) −33.7441 + 12.9352i −1.24892 + 0.478753i
\(731\) 1.37982 3.02139i 0.0510346 0.111750i
\(732\) 6.29327 4.71108i 0.232606 0.174127i
\(733\) −48.5191 + 10.5547i −1.79210 + 0.389846i −0.980835 0.194839i \(-0.937581\pi\)
−0.811260 + 0.584686i \(0.801218\pi\)
\(734\) 0.725255 + 0.836989i 0.0267697 + 0.0308938i
\(735\) −12.9974 8.18755i −0.479417 0.302002i
\(736\) 0.583734 + 4.76017i 0.0215167 + 0.175462i
\(737\) −48.1416 + 48.1416i −1.77332 + 1.77332i
\(738\) 0.287416 4.01860i 0.0105799 0.147927i
\(739\) 17.4551 27.1607i 0.642098 0.999123i −0.355816 0.934556i \(-0.615797\pi\)
0.997913 0.0645672i \(-0.0205667\pi\)
\(740\) −12.8671 + 15.1240i −0.473002 + 0.555969i
\(741\) −4.55698 2.08110i −0.167405 0.0764513i
\(742\) −0.512215 0.383440i −0.0188040 0.0140765i
\(743\) 0.866378 0.473078i 0.0317843 0.0173556i −0.463278 0.886213i \(-0.653327\pi\)
0.495063 + 0.868857i \(0.335145\pi\)
\(744\) 0.845457 + 1.31556i 0.0309960 + 0.0482307i
\(745\) 25.0148 19.0818i 0.916473 0.699104i
\(746\) 2.24554 + 7.64759i 0.0822149 + 0.279998i
\(747\) 0.765244 0.0547313i 0.0279988 0.00200251i
\(748\) 2.65132 0.189626i 0.0969417 0.00693341i
\(749\) 1.75668 + 5.98270i 0.0641877 + 0.218603i
\(750\) 5.08960 9.95469i 0.185846 0.363494i
\(751\) −8.09436 12.5951i −0.295367 0.459600i 0.661575 0.749879i \(-0.269888\pi\)
−0.956942 + 0.290279i \(0.906252\pi\)
\(752\) −1.74214 + 0.951279i −0.0635292 + 0.0346896i
\(753\) −15.0124 11.2381i −0.547080 0.409539i
\(754\) −6.96102 3.17899i −0.253505 0.115772i
\(755\) −31.7570 + 2.56060i −1.15576 + 0.0931896i
\(756\) 0.195103 0.303586i 0.00709582 0.0110413i
\(757\) 2.26887 31.7229i 0.0824634 1.15299i −0.772749 0.634712i \(-0.781119\pi\)
0.855213 0.518277i \(-0.173427\pi\)
\(758\) 6.46087 6.46087i 0.234669 0.234669i
\(759\) −27.6348 0.574338i −1.00308 0.0208472i
\(760\) 7.46719 11.8539i 0.270864 0.429985i
\(761\) 2.49445 + 2.87875i 0.0904238 + 0.104355i 0.799158 0.601121i \(-0.205279\pi\)
−0.708734 + 0.705475i \(0.750734\pi\)
\(762\) 12.7328 2.76985i 0.461260 0.100341i
\(763\) 0.562753 0.421272i 0.0203730 0.0152511i
\(764\) 7.62183 16.6895i 0.275748 0.603804i
\(765\) 0.419887 0.941908i 0.0151811 0.0340548i
\(766\) 8.20544 27.9452i 0.296475 1.00970i
\(767\) 2.43710 11.2032i 0.0879986 0.404523i
\(768\) −0.349464 + 0.936950i −0.0126102 + 0.0338093i
\(769\) 10.7400 3.15355i 0.387294 0.113720i −0.0822881 0.996609i \(-0.526223\pi\)
0.469582 + 0.882889i \(0.344405\pi\)
\(770\) 2.19182 4.10191i 0.0789877 0.147823i
\(771\) 8.74023 10.0868i 0.314772 0.363266i
\(772\) −2.10589 + 3.85664i −0.0757925 + 0.138804i
\(773\) −27.1070