Properties

Label 690.2.n.a.89.2
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.2
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.67059 + 0.457309i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.26417 - 1.84441i) q^{5} +(0.690404 + 1.58850i) q^{6} +(-1.66558 + 1.07040i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.58174 - 1.52795i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.67059 + 0.457309i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.26417 - 1.84441i) q^{5} +(0.690404 + 1.58850i) q^{6} +(-1.66558 + 1.07040i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.58174 - 1.52795i) q^{9} +(-2.00555 - 0.988819i) q^{10} +(-0.163968 + 1.14042i) q^{11} +(1.47408 - 0.909444i) q^{12} +(3.31360 - 5.15606i) q^{13} +(1.29654 + 1.49629i) q^{14} +(-1.26845 + 3.65938i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-0.599806 + 2.04275i) q^{17} +(-1.87982 - 2.33801i) q^{18} +(-0.290163 - 0.988203i) q^{19} +(-0.693335 + 2.12586i) q^{20} +(2.29299 - 2.54988i) q^{21} +1.15215 q^{22} +(-4.69475 + 0.979447i) q^{23} +(-1.10997 - 1.32965i) q^{24} +(-1.80373 - 4.66332i) q^{25} +(-5.57516 - 2.54609i) q^{26} +(-3.61428 + 3.73323i) q^{27} +(1.29654 - 1.49629i) q^{28} +(0.730713 - 2.48858i) q^{29} +(3.80265 + 0.734755i) q^{30} +(-2.50579 - 5.48692i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-0.247602 - 1.98017i) q^{33} +(2.10732 + 0.302987i) q^{34} +(-0.131316 + 4.42519i) q^{35} +(-2.04669 + 2.19342i) q^{36} +(-5.56307 - 6.42013i) q^{37} +(-0.936850 + 0.427845i) q^{38} +(-3.17775 + 10.1290i) q^{39} +(2.20290 + 0.383736i) q^{40} +(-2.34577 - 2.03262i) q^{41} +(-2.85026 - 1.90677i) q^{42} +(5.08716 - 11.1393i) q^{43} +(-0.163968 - 1.14042i) q^{44} +(0.445595 - 6.69339i) q^{45} +(1.63761 + 4.50757i) q^{46} -4.55049 q^{47} +(-1.15815 + 1.28790i) q^{48} +(-1.27952 + 2.80176i) q^{49} +(-4.35916 + 2.44903i) q^{50} +(0.0678616 - 3.68690i) q^{51} +(-1.72675 + 5.88075i) q^{52} +(2.42234 + 3.76924i) q^{53} +(4.20959 + 3.04620i) q^{54} +(1.89613 + 1.74412i) q^{55} +(-1.66558 - 1.07040i) q^{56} +(0.936657 + 1.51819i) q^{57} +(-2.56724 - 0.369114i) q^{58} +(-3.10824 + 4.83651i) q^{59} +(0.186103 - 3.86851i) q^{60} +(-9.92774 + 4.53385i) q^{61} +(-5.07446 + 3.26115i) q^{62} +(-2.66456 + 5.30841i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-5.32094 - 12.6298i) q^{65} +(-1.92477 + 0.526889i) q^{66} +(-0.884738 - 6.15349i) q^{67} -2.12899i q^{68} +(7.39509 - 3.78320i) q^{69} +(4.39883 - 0.499790i) q^{70} +(-12.3693 + 1.77844i) q^{71} +(2.46236 + 1.71370i) q^{72} +(0.762867 + 2.59809i) q^{73} +(-5.56307 + 6.42013i) q^{74} +(5.14586 + 6.96564i) q^{75} +(0.556818 + 0.866426i) q^{76} +(-0.947610 - 2.07498i) q^{77} +(10.4781 + 1.70390i) q^{78} +(6.33604 - 9.85907i) q^{79} +(0.0663257 - 2.23508i) q^{80} +(4.33074 - 7.88953i) q^{81} +(-1.67810 + 2.61117i) q^{82} +(12.6878 - 10.9940i) q^{83} +(-1.48172 + 3.09260i) q^{84} +(3.00942 + 3.68869i) q^{85} +(-11.7499 - 3.45009i) q^{86} +(-0.0826723 + 4.49156i) q^{87} +(-1.10548 + 0.324599i) q^{88} +(4.37896 - 9.58859i) q^{89} +(-6.68867 + 0.511509i) q^{90} +12.1347i q^{91} +(4.22864 - 2.26244i) q^{92} +(6.69536 + 8.02046i) q^{93} +(0.647602 + 4.50417i) q^{94} +(-2.18947 - 0.714081i) q^{95} +(1.43961 + 0.963074i) q^{96} +(-4.00396 + 4.62082i) q^{97} +(2.95533 + 0.867764i) q^{98} +(1.31919 + 3.19481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.67059 + 0.457309i −0.964515 + 0.264027i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 1.26417 1.84441i 0.565356 0.824847i
\(6\) 0.690404 + 1.58850i 0.281856 + 0.648504i
\(7\) −1.66558 + 1.07040i −0.629529 + 0.404574i −0.816135 0.577861i \(-0.803887\pi\)
0.186606 + 0.982435i \(0.440251\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 2.58174 1.52795i 0.860579 0.509317i
\(10\) −2.00555 0.988819i −0.634211 0.312692i
\(11\) −0.163968 + 1.14042i −0.0494383 + 0.343851i 0.950057 + 0.312077i \(0.101025\pi\)
−0.999495 + 0.0317739i \(0.989884\pi\)
\(12\) 1.47408 0.909444i 0.425530 0.262534i
\(13\) 3.31360 5.15606i 0.919027 1.43003i 0.0162778 0.999868i \(-0.494818\pi\)
0.902749 0.430167i \(-0.141545\pi\)
\(14\) 1.29654 + 1.49629i 0.346515 + 0.399900i
\(15\) −1.26845 + 3.65938i −0.327512 + 0.944847i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −0.599806 + 2.04275i −0.145474 + 0.495440i −0.999701 0.0244610i \(-0.992213\pi\)
0.854226 + 0.519901i \(0.174031\pi\)
\(18\) −1.87982 2.33801i −0.443077 0.551074i
\(19\) −0.290163 0.988203i −0.0665679 0.226709i 0.919490 0.393114i \(-0.128602\pi\)
−0.986058 + 0.166405i \(0.946784\pi\)
\(20\) −0.693335 + 2.12586i −0.155034 + 0.475357i
\(21\) 2.29299 2.54988i 0.500372 0.556430i
\(22\) 1.15215 0.245640
\(23\) −4.69475 + 0.979447i −0.978923 + 0.204229i
\(24\) −1.10997 1.32965i −0.226572 0.271413i
\(25\) −1.80373 4.66332i −0.360745 0.932664i
\(26\) −5.57516 2.54609i −1.09338 0.499329i
\(27\) −3.61428 + 3.73323i −0.695568 + 0.718460i
\(28\) 1.29654 1.49629i 0.245023 0.282772i
\(29\) 0.730713 2.48858i 0.135690 0.462118i −0.863411 0.504500i \(-0.831677\pi\)
0.999101 + 0.0423827i \(0.0134949\pi\)
\(30\) 3.80265 + 0.734755i 0.694265 + 0.134147i
\(31\) −2.50579 5.48692i −0.450053 0.985479i −0.989643 0.143551i \(-0.954148\pi\)
0.539590 0.841928i \(-0.318579\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −0.247602 1.98017i −0.0431020 0.344703i
\(34\) 2.10732 + 0.302987i 0.361403 + 0.0519619i
\(35\) −0.131316 + 4.42519i −0.0221965 + 0.747993i
\(36\) −2.04669 + 2.19342i −0.341114 + 0.365569i
\(37\) −5.56307 6.42013i −0.914563 1.05546i −0.998260 0.0589712i \(-0.981218\pi\)
0.0836962 0.996491i \(-0.473327\pi\)
\(38\) −0.936850 + 0.427845i −0.151977 + 0.0694057i
\(39\) −3.17775 + 10.1290i −0.508848 + 1.62194i
\(40\) 2.20290 + 0.383736i 0.348308 + 0.0606740i
\(41\) −2.34577 2.03262i −0.366348 0.317442i 0.452161 0.891936i \(-0.350653\pi\)
−0.818509 + 0.574494i \(0.805199\pi\)
\(42\) −2.85026 1.90677i −0.439804 0.294220i
\(43\) 5.08716 11.1393i 0.775785 1.69873i 0.0623041 0.998057i \(-0.480155\pi\)
0.713481 0.700675i \(-0.247118\pi\)
\(44\) −0.163968 1.14042i −0.0247192 0.171925i
\(45\) 0.445595 6.69339i 0.0664253 0.997791i
\(46\) 1.63761 + 4.50757i 0.241453 + 0.664606i
\(47\) −4.55049 −0.663757 −0.331879 0.943322i \(-0.607682\pi\)
−0.331879 + 0.943322i \(0.607682\pi\)
\(48\) −1.15815 + 1.28790i −0.167164 + 0.185893i
\(49\) −1.27952 + 2.80176i −0.182788 + 0.400251i
\(50\) −4.35916 + 2.44903i −0.616478 + 0.346345i
\(51\) 0.0678616 3.68690i 0.00950253 0.516269i
\(52\) −1.72675 + 5.88075i −0.239456 + 0.815514i
\(53\) 2.42234 + 3.76924i 0.332734 + 0.517745i 0.966800 0.255534i \(-0.0822514\pi\)
−0.634066 + 0.773279i \(0.718615\pi\)
\(54\) 4.20959 + 3.04620i 0.572853 + 0.414535i
\(55\) 1.89613 + 1.74412i 0.255674 + 0.235177i
\(56\) −1.66558 1.07040i −0.222572 0.143038i
\(57\) 0.936657 + 1.51819i 0.124063 + 0.201089i
\(58\) −2.56724 0.369114i −0.337095 0.0484670i
\(59\) −3.10824 + 4.83651i −0.404658 + 0.629660i −0.982450 0.186524i \(-0.940278\pi\)
0.577793 + 0.816184i \(0.303914\pi\)
\(60\) 0.186103 3.86851i 0.0240258 0.499422i
\(61\) −9.92774 + 4.53385i −1.27112 + 0.580499i −0.932753 0.360516i \(-0.882601\pi\)
−0.338363 + 0.941016i \(0.609873\pi\)
\(62\) −5.07446 + 3.26115i −0.644457 + 0.414167i
\(63\) −2.66456 + 5.30841i −0.335703 + 0.668797i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −5.32094 12.6298i −0.659982 1.56654i
\(66\) −1.92477 + 0.526889i −0.236923 + 0.0648556i
\(67\) −0.884738 6.15349i −0.108088 0.751768i −0.969717 0.244230i \(-0.921465\pi\)
0.861629 0.507538i \(-0.169444\pi\)
\(68\) 2.12899i 0.258178i
\(69\) 7.39509 3.78320i 0.890264 0.455444i
\(70\) 4.39883 0.499790i 0.525761 0.0597363i
\(71\) −12.3693 + 1.77844i −1.46797 + 0.211062i −0.829465 0.558559i \(-0.811354\pi\)
−0.638501 + 0.769621i \(0.720445\pi\)
\(72\) 2.46236 + 1.71370i 0.290192 + 0.201961i
\(73\) 0.762867 + 2.59809i 0.0892868 + 0.304083i 0.992014 0.126131i \(-0.0402561\pi\)
−0.902727 + 0.430214i \(0.858438\pi\)
\(74\) −5.56307 + 6.42013i −0.646694 + 0.746325i
\(75\) 5.14586 + 6.96564i 0.594193 + 0.804322i
\(76\) 0.556818 + 0.866426i 0.0638714 + 0.0993859i
\(77\) −0.947610 2.07498i −0.107990 0.236465i
\(78\) 10.4781 + 1.70390i 1.18642 + 0.192929i
\(79\) 6.33604 9.85907i 0.712860 1.10923i −0.276111 0.961126i \(-0.589046\pi\)
0.988971 0.148107i \(-0.0473179\pi\)
\(80\) 0.0663257 2.23508i 0.00741544 0.249890i
\(81\) 4.33074 7.88953i 0.481193 0.876615i
\(82\) −1.67810 + 2.61117i −0.185315 + 0.288355i
\(83\) 12.6878 10.9940i 1.39266 1.20675i 0.441809 0.897109i \(-0.354337\pi\)
0.950854 0.309640i \(-0.100208\pi\)
\(84\) −1.48172 + 3.09260i −0.161669 + 0.337431i
\(85\) 3.00942 + 3.68869i 0.326418 + 0.400094i
\(86\) −11.7499 3.45009i −1.26703 0.372033i
\(87\) −0.0826723 + 4.49156i −0.00886340 + 0.481545i
\(88\) −1.10548 + 0.324599i −0.117845 + 0.0346023i
\(89\) 4.37896 9.58859i 0.464169 1.01639i −0.522348 0.852732i \(-0.674944\pi\)
0.986517 0.163656i \(-0.0523288\pi\)
\(90\) −6.68867 + 0.511509i −0.705048 + 0.0539178i
\(91\) 12.1347i 1.27206i
\(92\) 4.22864 2.26244i 0.440866 0.235875i
\(93\) 6.69536 + 8.02046i 0.694277 + 0.831683i
\(94\) 0.647602 + 4.50417i 0.0667951 + 0.464570i
\(95\) −2.18947 0.714081i −0.224635 0.0732632i
\(96\) 1.43961 + 0.963074i 0.146930 + 0.0982933i
\(97\) −4.00396 + 4.62082i −0.406541 + 0.469173i −0.921690 0.387927i \(-0.873191\pi\)
0.515149 + 0.857101i \(0.327737\pi\)
\(98\) 2.95533 + 0.867764i 0.298534 + 0.0876574i
\(99\) 1.31919 + 3.19481i 0.132583 + 0.321091i
\(100\) 3.04447 + 3.96626i 0.304447 + 0.396626i
\(101\) −2.19700 + 1.90371i −0.218609 + 0.189426i −0.757280 0.653090i \(-0.773472\pi\)
0.538671 + 0.842516i \(0.318927\pi\)
\(102\) −3.65903 + 0.457529i −0.362298 + 0.0453021i
\(103\) 0.618015 4.29839i 0.0608948 0.423533i −0.936456 0.350786i \(-0.885914\pi\)
0.997350 0.0727468i \(-0.0231765\pi\)
\(104\) 6.06664 + 0.872251i 0.594883 + 0.0855312i
\(105\) −1.80430 7.45272i −0.176082 0.727311i
\(106\) 3.38614 2.93411i 0.328891 0.284986i
\(107\) 0.263932 0.120534i 0.0255153 0.0116524i −0.402617 0.915369i \(-0.631899\pi\)
0.428132 + 0.903716i \(0.359172\pi\)
\(108\) 2.41610 4.60027i 0.232490 0.442661i
\(109\) −1.00167 + 3.41137i −0.0959424 + 0.326750i −0.993453 0.114243i \(-0.963556\pi\)
0.897510 + 0.440993i \(0.145374\pi\)
\(110\) 1.45652 2.12505i 0.138874 0.202615i
\(111\) 12.2296 + 8.18136i 1.16078 + 0.776540i
\(112\) −0.822470 + 1.80096i −0.0777161 + 0.170174i
\(113\) 14.7911 2.12664i 1.39143 0.200058i 0.594484 0.804107i \(-0.297356\pi\)
0.796947 + 0.604050i \(0.206447\pi\)
\(114\) 1.36944 1.14318i 0.128259 0.107069i
\(115\) −4.12848 + 9.89726i −0.384982 + 0.922924i
\(116\) 2.59364i 0.240814i
\(117\) 0.676641 18.3746i 0.0625555 1.69873i
\(118\) 5.22963 + 2.38829i 0.481426 + 0.219860i
\(119\) −1.18754 4.04439i −0.108862 0.370749i
\(120\) −3.85562 + 0.366337i −0.351968 + 0.0334419i
\(121\) 9.28074 + 2.72507i 0.843704 + 0.247734i
\(122\) 5.90056 + 9.18145i 0.534212 + 0.831250i
\(123\) 4.84836 + 2.32294i 0.437162 + 0.209452i
\(124\) 3.95013 + 4.55869i 0.354732 + 0.409383i
\(125\) −10.8813 2.56843i −0.973255 0.229728i
\(126\) 5.63359 + 1.88198i 0.501880 + 0.167660i
\(127\) 2.97314 + 0.427473i 0.263824 + 0.0379321i 0.272957 0.962026i \(-0.411998\pi\)
−0.00913362 + 0.999958i \(0.502907\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −3.40445 + 20.9357i −0.299745 + 1.84328i
\(130\) −11.7440 + 7.06419i −1.03002 + 0.619571i
\(131\) 6.52880 + 10.1590i 0.570424 + 0.887597i 0.999880 0.0154907i \(-0.00493104\pi\)
−0.429456 + 0.903088i \(0.641295\pi\)
\(132\) 0.795450 + 1.83020i 0.0692350 + 0.159298i
\(133\) 1.54106 + 1.33534i 0.133627 + 0.115788i
\(134\) −5.96494 + 1.75146i −0.515292 + 0.151303i
\(135\) 2.31654 + 11.3857i 0.199376 + 0.979923i
\(136\) −2.10732 + 0.302987i −0.180701 + 0.0259809i
\(137\) 0.420827i 0.0359536i −0.999838 0.0179768i \(-0.994277\pi\)
0.999838 0.0179768i \(-0.00572251\pi\)
\(138\) −4.79713 6.78141i −0.408359 0.577272i
\(139\) 18.6589 1.58262 0.791312 0.611413i \(-0.209399\pi\)
0.791312 + 0.611413i \(0.209399\pi\)
\(140\) −1.12072 4.28293i −0.0947183 0.361974i
\(141\) 7.60200 2.08098i 0.640204 0.175250i
\(142\) 3.52067 + 11.9903i 0.295448 + 1.00620i
\(143\) 5.33677 + 4.62434i 0.446284 + 0.386707i
\(144\) 1.34582 2.68119i 0.112152 0.223432i
\(145\) −3.66622 4.49374i −0.304463 0.373185i
\(146\) 2.46307 1.12485i 0.203846 0.0930931i
\(147\) 0.856284 5.26572i 0.0706251 0.434309i
\(148\) 7.14649 + 4.59277i 0.587438 + 0.377523i
\(149\) −1.38027 + 9.59999i −0.113076 + 0.786461i 0.851821 + 0.523833i \(0.175498\pi\)
−0.964897 + 0.262628i \(0.915411\pi\)
\(150\) 6.16240 6.08480i 0.503158 0.496822i
\(151\) −1.86013 1.19543i −0.151375 0.0972829i 0.462761 0.886483i \(-0.346859\pi\)
−0.614136 + 0.789200i \(0.710495\pi\)
\(152\) 0.778363 0.674456i 0.0631336 0.0547056i
\(153\) 1.57268 + 6.19032i 0.127144 + 0.500458i
\(154\) −1.91900 + 1.23326i −0.154637 + 0.0993793i
\(155\) −13.2879 2.31470i −1.06731 0.185921i
\(156\) 0.195363 10.6140i 0.0156415 0.849799i
\(157\) 9.92259 2.91354i 0.791909 0.232526i 0.139330 0.990246i \(-0.455505\pi\)
0.652579 + 0.757720i \(0.273687\pi\)
\(158\) −10.6604 4.86846i −0.848099 0.387314i
\(159\) −5.77045 5.18909i −0.457626 0.411522i
\(160\) −2.22177 + 0.252435i −0.175647 + 0.0199567i
\(161\) 6.77106 6.65661i 0.533635 0.524614i
\(162\) −8.42556 3.16386i −0.661974 0.248576i
\(163\) −1.35223 + 0.194421i −0.105915 + 0.0152282i −0.195068 0.980790i \(-0.562493\pi\)
0.0891537 + 0.996018i \(0.471584\pi\)
\(164\) 2.82341 + 1.28941i 0.220471 + 0.100686i
\(165\) −3.96526 2.04659i −0.308695 0.159327i
\(166\) −12.6878 10.9940i −0.984761 0.853300i
\(167\) 17.7218 + 5.20358i 1.37135 + 0.402665i 0.882751 0.469842i \(-0.155689\pi\)
0.488602 + 0.872507i \(0.337507\pi\)
\(168\) 3.27200 + 1.02652i 0.252440 + 0.0791976i
\(169\) −10.2046 22.3450i −0.784972 1.71885i
\(170\) 3.22286 3.50374i 0.247182 0.268725i
\(171\) −2.25905 2.10793i −0.172754 0.161197i
\(172\) −1.74278 + 12.1213i −0.132886 + 0.924243i
\(173\) −2.17092 + 15.0991i −0.165052 + 1.14796i 0.723882 + 0.689924i \(0.242356\pi\)
−0.888933 + 0.458036i \(0.848553\pi\)
\(174\) 4.45760 0.557384i 0.337930 0.0422552i
\(175\) 7.99587 + 5.83641i 0.604431 + 0.441191i
\(176\) 0.478621 + 1.04803i 0.0360774 + 0.0789986i
\(177\) 2.98081 9.50124i 0.224051 0.714157i
\(178\) −10.1142 2.96979i −0.758090 0.222595i
\(179\) −6.11494 5.29863i −0.457052 0.396038i 0.395678 0.918389i \(-0.370510\pi\)
−0.852730 + 0.522351i \(0.825055\pi\)
\(180\) 1.45820 + 6.54780i 0.108688 + 0.488044i
\(181\) −4.11475 1.87914i −0.305847 0.139676i 0.256579 0.966523i \(-0.417405\pi\)
−0.562426 + 0.826848i \(0.690132\pi\)
\(182\) 12.0112 1.72695i 0.890328 0.128010i
\(183\) 14.5118 12.1142i 1.07274 0.895510i
\(184\) −2.84121 3.86362i −0.209457 0.284830i
\(185\) −18.8741 + 2.14445i −1.38765 + 0.157663i
\(186\) 6.98598 7.76864i 0.512237 0.569625i
\(187\) −2.23126 1.01898i −0.163166 0.0745152i
\(188\) 4.36616 1.28202i 0.318435 0.0935010i
\(189\) 2.02381 10.0867i 0.147210 0.733700i
\(190\) −0.395219 + 2.26881i −0.0286722 + 0.164597i
\(191\) 11.1897 7.19121i 0.809662 0.520338i −0.0690938 0.997610i \(-0.522011\pi\)
0.878756 + 0.477272i \(0.158374\pi\)
\(192\) 0.748393 1.56202i 0.0540106 0.112729i
\(193\) −4.29782 + 3.72408i −0.309364 + 0.268065i −0.795679 0.605718i \(-0.792886\pi\)
0.486316 + 0.873783i \(0.338340\pi\)
\(194\) 5.14361 + 3.30560i 0.369290 + 0.237328i
\(195\) 14.6648 + 18.6659i 1.05017 + 1.33669i
\(196\) 0.438344 3.04875i 0.0313103 0.217768i
\(197\) 10.4485 + 6.71487i 0.744428 + 0.478415i 0.857056 0.515223i \(-0.172291\pi\)
−0.112629 + 0.993637i \(0.535927\pi\)
\(198\) 2.97455 1.76043i 0.211392 0.125108i
\(199\) −9.96489 + 4.55081i −0.706393 + 0.322599i −0.736018 0.676962i \(-0.763296\pi\)
0.0296250 + 0.999561i \(0.490569\pi\)
\(200\) 3.49261 3.57794i 0.246965 0.252999i
\(201\) 4.29208 + 9.87535i 0.302740 + 0.696553i
\(202\) 2.19700 + 1.90371i 0.154580 + 0.133944i
\(203\) 1.44672 + 4.92708i 0.101540 + 0.345813i
\(204\) 0.973606 + 3.55667i 0.0681661 + 0.249017i
\(205\) −6.71446 + 1.75698i −0.468958 + 0.122713i
\(206\) −4.34259 −0.302563
\(207\) −10.6241 + 9.70202i −0.738424 + 0.674337i
\(208\) 6.12902i 0.424971i
\(209\) 1.17455 0.168875i 0.0812453 0.0116813i
\(210\) −7.12008 + 2.84657i −0.491332 + 0.196432i
\(211\) 8.94819 2.62743i 0.616019 0.180880i 0.0411878 0.999151i \(-0.486886\pi\)
0.574831 + 0.818272i \(0.305068\pi\)
\(212\) −3.38614 2.93411i −0.232561 0.201515i
\(213\) 19.8507 8.62763i 1.36015 0.591155i
\(214\) −0.156868 0.244092i −0.0107233 0.0166858i
\(215\) −14.1145 23.4649i −0.962599 1.60029i
\(216\) −4.89729 1.73682i −0.333218 0.118176i
\(217\) 10.0468 + 6.45668i 0.682020 + 0.438308i
\(218\) 3.51920 + 0.505984i 0.238350 + 0.0342696i
\(219\) −2.46257 3.99147i −0.166405 0.269719i
\(220\) −2.31070 1.13927i −0.155787 0.0768096i
\(221\) 8.54504 + 9.86150i 0.574802 + 0.663356i
\(222\) 6.35763 13.2694i 0.426696 0.890586i
\(223\) −15.0451 23.4106i −1.00749 1.56769i −0.809190 0.587547i \(-0.800094\pi\)
−0.198302 0.980141i \(-0.563543\pi\)
\(224\) 1.89968 + 0.557795i 0.126927 + 0.0372693i
\(225\) −11.7821 9.28347i −0.785471 0.618898i
\(226\) −4.20999 14.3379i −0.280044 0.953744i
\(227\) −16.2449 7.41882i −1.07821 0.492404i −0.204512 0.978864i \(-0.565561\pi\)
−0.873703 + 0.486460i \(0.838288\pi\)
\(228\) −1.32644 1.19280i −0.0878455 0.0789954i
\(229\) 16.1774i 1.06903i −0.845159 0.534515i \(-0.820494\pi\)
0.845159 0.534515i \(-0.179506\pi\)
\(230\) 10.3841 + 2.67793i 0.684705 + 0.176577i
\(231\) 2.53197 + 3.03308i 0.166591 + 0.199562i
\(232\) 2.56724 0.369114i 0.168548 0.0242335i
\(233\) 7.78621 17.0494i 0.510092 1.11694i −0.462965 0.886377i \(-0.653214\pi\)
0.973056 0.230568i \(-0.0740584\pi\)
\(234\) −18.2839 + 1.94523i −1.19525 + 0.127163i
\(235\) −5.75261 + 8.39299i −0.375259 + 0.547498i
\(236\) 1.61973 5.51629i 0.105435 0.359080i
\(237\) −6.07628 + 19.3680i −0.394697 + 1.25809i
\(238\) −3.83422 + 1.75103i −0.248536 + 0.113502i
\(239\) −11.5926 + 10.0450i −0.749861 + 0.649758i −0.943522 0.331311i \(-0.892509\pi\)
0.193661 + 0.981068i \(0.437964\pi\)
\(240\) 0.911320 + 3.76424i 0.0588255 + 0.242981i
\(241\) −18.4645 2.65479i −1.18940 0.171010i −0.480936 0.876756i \(-0.659703\pi\)
−0.708465 + 0.705746i \(0.750612\pi\)
\(242\) 1.37655 9.57409i 0.0884878 0.615446i
\(243\) −3.62694 + 15.1607i −0.232668 + 0.972556i
\(244\) 8.24826 7.14716i 0.528041 0.457550i
\(245\) 3.55006 + 5.90187i 0.226805 + 0.377057i
\(246\) 1.60930 5.12960i 0.102605 0.327051i
\(247\) −6.05672 1.77841i −0.385380 0.113158i
\(248\) 3.95013 4.55869i 0.250834 0.289477i
\(249\) −16.1684 + 24.1687i −1.02463 + 1.53163i
\(250\) −0.993718 + 11.1361i −0.0628482 + 0.704308i
\(251\) 0.409367 + 2.84721i 0.0258390 + 0.179714i 0.998654 0.0518700i \(-0.0165181\pi\)
−0.972815 + 0.231584i \(0.925609\pi\)
\(252\) 1.06108 5.84408i 0.0668415 0.368142i
\(253\) −0.347196 5.51461i −0.0218280 0.346700i
\(254\) 3.00371i 0.188470i
\(255\) −6.71438 4.78605i −0.420470 0.299714i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −7.62412 + 2.23864i −0.475579 + 0.139643i −0.510733 0.859739i \(-0.670626\pi\)
0.0351539 + 0.999382i \(0.488808\pi\)
\(258\) 21.2071 + 0.390341i 1.32029 + 0.0243015i
\(259\) 16.1378 + 4.73849i 1.00276 + 0.294436i
\(260\) 8.66364 + 10.6191i 0.537296 + 0.658571i
\(261\) −1.91592 7.54135i −0.118592 0.466798i
\(262\) 9.12646 7.90813i 0.563835 0.488566i
\(263\) −9.69651 + 15.0881i −0.597912 + 0.930370i 0.401979 + 0.915649i \(0.368322\pi\)
−0.999892 + 0.0147208i \(0.995314\pi\)
\(264\) 1.69836 1.04782i 0.104527 0.0644887i
\(265\) 10.0143 + 0.297172i 0.615174 + 0.0182552i
\(266\) 1.10243 1.71541i 0.0675943 0.105179i
\(267\) −2.93050 + 18.0211i −0.179344 + 1.10288i
\(268\) 2.58254 + 5.65497i 0.157754 + 0.345432i
\(269\) −14.5143 22.5847i −0.884953 1.37701i −0.925867 0.377851i \(-0.876663\pi\)
0.0409139 0.999163i \(-0.486973\pi\)
\(270\) 10.9401 3.91331i 0.665794 0.238156i
\(271\) −21.1673 + 24.4284i −1.28582 + 1.48392i −0.499199 + 0.866487i \(0.666372\pi\)
−0.786624 + 0.617432i \(0.788173\pi\)
\(272\) 0.599806 + 2.04275i 0.0363686 + 0.123860i
\(273\) −5.54930 20.2721i −0.335859 1.22692i
\(274\) −0.416543 + 0.0598899i −0.0251643 + 0.00361808i
\(275\) 5.61392 1.29238i 0.338532 0.0779333i
\(276\) −6.02969 + 5.71340i −0.362944 + 0.343906i
\(277\) 6.65868i 0.400081i 0.979788 + 0.200041i \(0.0641074\pi\)
−0.979788 + 0.200041i \(0.935893\pi\)
\(278\) −2.65543 18.4689i −0.159262 1.10769i
\(279\) −14.8530 10.3371i −0.889227 0.618863i
\(280\) −4.07984 + 1.71884i −0.243817 + 0.102720i
\(281\) 5.57442 6.43323i 0.332542 0.383774i −0.564712 0.825288i \(-0.691013\pi\)
0.897255 + 0.441514i \(0.145558\pi\)
\(282\) −3.14167 7.22847i −0.187084 0.430449i
\(283\) 6.71436 4.31506i 0.399127 0.256504i −0.325645 0.945492i \(-0.605581\pi\)
0.724772 + 0.688989i \(0.241945\pi\)
\(284\) 11.3672 5.19123i 0.674520 0.308043i
\(285\) 3.98426 + 0.191672i 0.236007 + 0.0113537i
\(286\) 3.81777 5.94057i 0.225749 0.351273i
\(287\) 6.08278 + 0.874572i 0.359055 + 0.0516244i
\(288\) −2.84543 0.950553i −0.167668 0.0560119i
\(289\) 10.4882 + 6.74038i 0.616955 + 0.396493i
\(290\) −3.92624 + 4.26843i −0.230557 + 0.250651i
\(291\) 4.57584 9.55054i 0.268240 0.559863i
\(292\) −1.46393 2.27792i −0.0856701 0.133305i
\(293\) −6.14801 + 20.9382i −0.359171 + 1.22322i 0.559710 + 0.828688i \(0.310912\pi\)
−0.918881 + 0.394535i \(0.870906\pi\)
\(294\) −5.33398 0.0981781i −0.311084 0.00572586i
\(295\) 4.99117 + 11.8471i 0.290597 + 0.689763i
\(296\) 3.52897 7.72737i 0.205117 0.449144i
\(297\) −3.66484 4.73394i −0.212655 0.274691i
\(298\) 9.69870 0.561831
\(299\) −10.5064 + 27.4519i −0.607603 + 1.58759i
\(300\) −6.89987 5.23372i −0.398364 0.302169i
\(301\) 3.45049 + 23.9987i 0.198883 + 1.38326i
\(302\) −0.918541 + 2.01132i −0.0528561 + 0.115739i
\(303\) 2.79970 4.18502i 0.160838 0.240423i
\(304\) −0.778363 0.674456i −0.0446422 0.0386827i
\(305\) −4.18810 + 24.0424i −0.239810 + 1.37667i
\(306\) 5.90350 2.43765i 0.337481 0.139351i
\(307\) 1.24426 0.568233i 0.0710135 0.0324308i −0.379592 0.925154i \(-0.623936\pi\)
0.450605 + 0.892723i \(0.351208\pi\)
\(308\) 1.49381 + 1.72395i 0.0851179 + 0.0982313i
\(309\) 0.933241 + 7.46347i 0.0530902 + 0.424582i
\(310\) −0.400078 + 13.4821i −0.0227229 + 0.765730i
\(311\) 29.0889 + 4.18235i 1.64948 + 0.237159i 0.903431 0.428733i \(-0.141040\pi\)
0.746048 + 0.665892i \(0.231949\pi\)
\(312\) −10.5337 + 1.31715i −0.596356 + 0.0745691i
\(313\) 17.6780 + 20.4015i 0.999221 + 1.15316i 0.988192 + 0.153224i \(0.0489654\pi\)
0.0110296 + 0.999939i \(0.496489\pi\)
\(314\) −4.29601 9.40696i −0.242438 0.530865i
\(315\) 6.42244 + 11.6253i 0.361863 + 0.655012i
\(316\) −3.30177 + 11.2448i −0.185739 + 0.632568i
\(317\) −20.8969 + 24.1163i −1.17369 + 1.35451i −0.251454 + 0.967869i \(0.580909\pi\)
−0.922232 + 0.386637i \(0.873637\pi\)
\(318\) −4.31505 + 6.45020i −0.241976 + 0.361709i
\(319\) 2.71822 + 1.24137i 0.152191 + 0.0695035i
\(320\) 0.566057 + 2.16323i 0.0316435 + 0.120928i
\(321\) −0.385801 + 0.322061i −0.0215333 + 0.0179757i
\(322\) −7.55248 5.75481i −0.420883 0.320703i
\(323\) 2.19270 0.122005
\(324\) −1.93258 + 8.79006i −0.107365 + 0.488337i
\(325\) −30.0212 6.15226i −1.66528 0.341266i
\(326\) 0.384884 + 1.31079i 0.0213168 + 0.0725982i
\(327\) 0.113328 6.15707i 0.00626705 0.340487i
\(328\) 0.874470 2.97817i 0.0482845 0.164442i
\(329\) 7.57919 4.87085i 0.417854 0.268539i
\(330\) −1.46145 + 4.21616i −0.0804500 + 0.232092i
\(331\) 18.5223 + 21.3759i 1.01808 + 1.17492i 0.984481 + 0.175489i \(0.0561505\pi\)
0.0335961 + 0.999435i \(0.489304\pi\)
\(332\) −9.07645 + 14.1232i −0.498135 + 0.775113i
\(333\) −24.1720 8.07499i −1.32462 0.442507i
\(334\) 2.62855 18.2819i 0.143828 1.00034i
\(335\) −12.4680 6.14726i −0.681202 0.335860i
\(336\) 0.550416 3.38478i 0.0300276 0.184655i
\(337\) −11.0477 24.1911i −0.601806 1.31777i −0.928039 0.372482i \(-0.878507\pi\)
0.326233 0.945289i \(-0.394221\pi\)
\(338\) −20.6653 + 13.2808i −1.12405 + 0.722380i
\(339\) −23.7373 + 10.3168i −1.28924 + 0.560334i
\(340\) −3.92674 2.69142i −0.212957 0.145963i
\(341\) 6.66828 1.95798i 0.361108 0.106031i
\(342\) −1.76498 + 2.53604i −0.0954390 + 0.137134i
\(343\) −2.84022 19.7542i −0.153358 1.06663i
\(344\) 12.2460 0.660259
\(345\) 2.37089 18.4222i 0.127644 0.991820i
\(346\) 15.2543 0.820078
\(347\) −0.146080 1.01601i −0.00784198 0.0545422i 0.985525 0.169532i \(-0.0542256\pi\)
−0.993367 + 0.114990i \(0.963316\pi\)
\(348\) −1.18609 4.33291i −0.0635813 0.232268i
\(349\) 5.52791 1.62314i 0.295902 0.0868848i −0.130412 0.991460i \(-0.541630\pi\)
0.426314 + 0.904575i \(0.359812\pi\)
\(350\) 4.63907 8.74509i 0.247969 0.467445i
\(351\) 7.27248 + 31.0059i 0.388176 + 1.65497i
\(352\) 0.969252 0.622900i 0.0516613 0.0332007i
\(353\) −2.96526 6.49302i −0.157825 0.345589i 0.814157 0.580645i \(-0.197200\pi\)
−0.971982 + 0.235057i \(0.924472\pi\)
\(354\) −9.82875 1.59830i −0.522392 0.0849487i
\(355\) −12.3568 + 25.0624i −0.655830 + 1.33017i
\(356\) −1.50017 + 10.4339i −0.0795086 + 0.552995i
\(357\) 3.83343 + 6.21345i 0.202887 + 0.328850i
\(358\) −4.37445 + 6.80677i −0.231197 + 0.359749i
\(359\) −7.81698 9.02128i −0.412565 0.476125i 0.510993 0.859585i \(-0.329278\pi\)
−0.923557 + 0.383460i \(0.874732\pi\)
\(360\) 6.27363 2.37521i 0.330649 0.125184i
\(361\) 15.0915 9.69870i 0.794288 0.510458i
\(362\) −1.27443 + 4.34030i −0.0669824 + 0.228121i
\(363\) −16.7505 0.308312i −0.879173 0.0161822i
\(364\) −3.41874 11.6432i −0.179191 0.610267i
\(365\) 5.75634 + 1.87739i 0.301301 + 0.0982672i
\(366\) −14.0562 12.6401i −0.734728 0.660707i
\(367\) −4.14223 −0.216223 −0.108111 0.994139i \(-0.534480\pi\)
−0.108111 + 0.994139i \(0.534480\pi\)
\(368\) −3.41995 + 3.36214i −0.178277 + 0.175264i
\(369\) −9.16191 1.66348i −0.476950 0.0865972i
\(370\) 4.80868 + 18.3768i 0.249991 + 0.955363i
\(371\) −8.06919 3.68508i −0.418932 0.191320i
\(372\) −8.68378 5.80928i −0.450233 0.301197i
\(373\) 5.39452 6.22560i 0.279317 0.322349i −0.598704 0.800970i \(-0.704318\pi\)
0.878022 + 0.478621i \(0.158863\pi\)
\(374\) −0.691068 + 2.35356i −0.0357343 + 0.121700i
\(375\) 19.3528 0.685323i 0.999374 0.0353899i
\(376\) −1.89034 4.13927i −0.0974869 0.213467i
\(377\) −10.4100 12.0138i −0.536141 0.618740i
\(378\) −10.2721 0.567720i −0.528337 0.0292004i
\(379\) 23.4155 + 3.36665i 1.20278 + 0.172933i 0.714423 0.699714i \(-0.246689\pi\)
0.488352 + 0.872647i \(0.337598\pi\)
\(380\) 2.30196 + 0.0683103i 0.118088 + 0.00350424i
\(381\) −5.16238 + 0.645511i −0.264477 + 0.0330705i
\(382\) −8.71049 10.0524i −0.445667 0.514327i
\(383\) 15.0234 6.86094i 0.767658 0.350577i 0.00720760 0.999974i \(-0.497706\pi\)
0.760450 + 0.649397i \(0.224978\pi\)
\(384\) −1.65263 0.518476i −0.0843354 0.0264584i
\(385\) −5.02506 0.875347i −0.256101 0.0446118i
\(386\) 4.29782 + 3.72408i 0.218753 + 0.189551i
\(387\) −3.88662 36.5318i −0.197568 1.85701i
\(388\) 2.53994 5.56169i 0.128946 0.282352i
\(389\) −2.99371 20.8217i −0.151787 1.05570i −0.913222 0.407462i \(-0.866414\pi\)
0.761435 0.648242i \(-0.224495\pi\)
\(390\) 16.3889 17.1720i 0.829884 0.869538i
\(391\) 0.815172 10.1777i 0.0412250 0.514708i
\(392\) −3.08010 −0.155568
\(393\) −15.5527 13.9859i −0.784532 0.705493i
\(394\) 5.15954 11.2978i 0.259934 0.569176i
\(395\) −10.1744 24.1499i −0.511927 1.21511i
\(396\) −2.16583 2.69374i −0.108837 0.135366i
\(397\) −10.5958 + 36.0860i −0.531788 + 1.81110i 0.0512841 + 0.998684i \(0.483669\pi\)
−0.583072 + 0.812420i \(0.698150\pi\)
\(398\) 5.92265 + 9.21582i 0.296875 + 0.461947i
\(399\) −3.18514 1.52606i −0.159457 0.0763986i
\(400\) −4.03857 2.94787i −0.201929 0.147393i
\(401\) 12.7468 + 8.19188i 0.636545 + 0.409083i 0.818728 0.574182i \(-0.194680\pi\)
−0.182182 + 0.983265i \(0.558316\pi\)
\(402\) 9.16401 5.65380i 0.457059 0.281986i
\(403\) −36.5941 5.26143i −1.82288 0.262091i
\(404\) 1.57167 2.44556i 0.0781933 0.121671i
\(405\) −9.07675 17.9614i −0.451027 0.892510i
\(406\) 4.67104 2.13319i 0.231820 0.105868i
\(407\) 8.23384 5.29157i 0.408136 0.262293i
\(408\) 3.38191 1.46986i 0.167429 0.0727691i
\(409\) 13.3214 15.3738i 0.658703 0.760184i −0.323862 0.946104i \(-0.604981\pi\)
0.982565 + 0.185920i \(0.0595266\pi\)
\(410\) 2.69467 + 6.39607i 0.133080 + 0.315880i
\(411\) 0.192448 + 0.703028i 0.00949274 + 0.0346778i
\(412\) 0.618015 + 4.29839i 0.0304474 + 0.211766i
\(413\) 11.3826i 0.560103i
\(414\) 11.1152 + 9.13519i 0.546284 + 0.448970i
\(415\) −4.23796 37.2998i −0.208033 1.83098i
\(416\) −6.06664 + 0.872251i −0.297441 + 0.0427656i
\(417\) −31.1713 + 8.53286i −1.52646 + 0.417856i
\(418\) −0.334312 1.13856i −0.0163517 0.0556888i
\(419\) −17.2325 + 19.8874i −0.841862 + 0.971561i −0.999874 0.0158763i \(-0.994946\pi\)
0.158012 + 0.987437i \(0.449492\pi\)
\(420\) 3.83089 + 6.64250i 0.186928 + 0.324121i
\(421\) 6.47964 + 10.0825i 0.315798 + 0.491392i 0.962474 0.271373i \(-0.0874778\pi\)
−0.646676 + 0.762765i \(0.723841\pi\)
\(422\) −3.87414 8.48319i −0.188590 0.412955i
\(423\) −11.7482 + 6.95292i −0.571216 + 0.338063i
\(424\) −2.42234 + 3.76924i −0.117639 + 0.183050i
\(425\) 10.6079 0.887476i 0.514559 0.0430489i
\(426\) −11.3649 18.4208i −0.550629 0.892492i
\(427\) 11.6824 18.1781i 0.565350 0.879701i
\(428\) −0.219283 + 0.190010i −0.0105994 + 0.00918446i
\(429\) −11.0303 5.28482i −0.532548 0.255154i
\(430\) −21.2174 + 17.3102i −1.02319 + 0.834773i
\(431\) 3.32098 + 0.975128i 0.159966 + 0.0469703i 0.360735 0.932668i \(-0.382526\pi\)
−0.200769 + 0.979639i \(0.564344\pi\)
\(432\) −1.02219 + 5.09462i −0.0491801 + 0.245115i
\(433\) 13.1501 3.86122i 0.631954 0.185558i 0.0499597 0.998751i \(-0.484091\pi\)
0.581994 + 0.813193i \(0.302273\pi\)
\(434\) 4.96115 10.8634i 0.238143 0.521460i
\(435\) 8.17978 + 5.83059i 0.392190 + 0.279556i
\(436\) 3.55539i 0.170272i
\(437\) 2.33013 + 4.35517i 0.111465 + 0.208336i
\(438\) −3.60038 + 3.00555i −0.172033 + 0.143611i
\(439\) −1.33038 9.25303i −0.0634958 0.441623i −0.996626 0.0820829i \(-0.973843\pi\)
0.933130 0.359540i \(-0.117066\pi\)
\(440\) −0.798827 + 2.44932i −0.0380826 + 0.116767i
\(441\) 0.977560 + 9.18844i 0.0465505 + 0.437545i
\(442\) 8.54504 9.86150i 0.406446 0.469064i
\(443\) 3.52398 + 1.03473i 0.167429 + 0.0491616i 0.364373 0.931253i \(-0.381283\pi\)
−0.196944 + 0.980415i \(0.563102\pi\)
\(444\) −14.0392 4.40448i −0.666269 0.209027i
\(445\) −12.1496 20.1983i −0.575944 0.957490i
\(446\) −21.0312 + 18.2236i −0.995854 + 0.862912i
\(447\) −2.08429 16.6688i −0.0985837 0.788409i
\(448\) 0.281766 1.95972i 0.0133122 0.0925882i
\(449\) 35.6201 + 5.12139i 1.68101 + 0.241693i 0.915671 0.401929i \(-0.131660\pi\)
0.765343 + 0.643622i \(0.222569\pi\)
\(450\) −7.51222 + 12.9833i −0.354129 + 0.612040i
\(451\) 2.70269 2.34189i 0.127264 0.110275i
\(452\) −13.5928 + 6.20764i −0.639353 + 0.291983i
\(453\) 3.65419 + 1.14642i 0.171689 + 0.0538637i
\(454\) −5.03141 + 17.1354i −0.236136 + 0.804204i
\(455\) 22.3814 + 15.3404i 1.04926 + 0.719168i
\(456\) −0.991891 + 1.48269i −0.0464496 + 0.0694334i
\(457\) 2.16833 4.74797i 0.101430 0.222101i −0.852113 0.523358i \(-0.824679\pi\)
0.953543 + 0.301257i \(0.0974063\pi\)
\(458\) −16.0127 + 2.30228i −0.748224 + 0.107578i
\(459\) −5.45819 9.62229i −0.254767 0.449130i
\(460\) 1.17287 10.6595i 0.0546851 0.497001i
\(461\) 2.28622i 0.106480i −0.998582 0.0532399i \(-0.983045\pi\)
0.998582 0.0532399i \(-0.0169548\pi\)
\(462\) 2.64187 2.93785i 0.122911 0.136681i
\(463\) 19.4958 + 8.90345i 0.906049 + 0.413778i 0.813255 0.581907i \(-0.197693\pi\)
0.0927931 + 0.995685i \(0.470420\pi\)
\(464\) −0.730713 2.48858i −0.0339225 0.115529i
\(465\) 23.2572 2.20975i 1.07852 0.102475i
\(466\) −17.9840 5.28057i −0.833092 0.244618i
\(467\) −5.61927 8.74376i −0.260029 0.404613i 0.686551 0.727081i \(-0.259124\pi\)
−0.946580 + 0.322468i \(0.895487\pi\)
\(468\) 4.52749 + 17.8209i 0.209283 + 0.823773i
\(469\) 8.06029 + 9.30208i 0.372190 + 0.429530i
\(470\) 9.12624 + 4.49961i 0.420962 + 0.207552i
\(471\) −15.2442 + 9.40501i −0.702415 + 0.433360i
\(472\) −5.69065 0.818192i −0.261933 0.0376603i
\(473\) 11.8694 + 7.62802i 0.545757 + 0.350737i
\(474\) 20.0356 + 3.25808i 0.920265 + 0.149649i
\(475\) −4.08494 + 3.13557i −0.187430 + 0.143870i
\(476\) 2.27887 + 3.54600i 0.104452 + 0.162531i
\(477\) 12.0131 + 6.02997i 0.550040 + 0.276093i
\(478\) 11.5926 + 10.0450i 0.530231 + 0.459448i
\(479\) 9.80548 2.87915i 0.448024 0.131552i −0.0499347 0.998752i \(-0.515901\pi\)
0.497959 + 0.867201i \(0.334083\pi\)
\(480\) 3.59623 1.43775i 0.164145 0.0656241i
\(481\) −51.5364 + 7.40981i −2.34986 + 0.337858i
\(482\) 18.6543i 0.849682i
\(483\) −8.26754 + 14.2169i −0.376186 + 0.646893i
\(484\) −9.67255 −0.439661
\(485\) 3.46100 + 13.2265i 0.157156 + 0.600584i
\(486\) 15.5225 + 1.43243i 0.704115 + 0.0649765i
\(487\) 4.51226 + 15.3673i 0.204470 + 0.696360i 0.996325 + 0.0856517i \(0.0272972\pi\)
−0.791855 + 0.610709i \(0.790885\pi\)
\(488\) −8.24826 7.14716i −0.373381 0.323537i
\(489\) 2.17011 0.943183i 0.0981356 0.0426522i
\(490\) 5.33657 4.35385i 0.241082 0.196687i
\(491\) 29.6477 13.5396i 1.33798 0.611035i 0.387515 0.921863i \(-0.373334\pi\)
0.950466 + 0.310828i \(0.100606\pi\)
\(492\) −5.30641 0.862901i −0.239231 0.0389026i
\(493\) 4.64527 + 2.98533i 0.209212 + 0.134453i
\(494\) −0.898351 + 6.24817i −0.0404187 + 0.281118i
\(495\) 7.56024 + 1.60567i 0.339808 + 0.0721695i
\(496\) −5.07446 3.26115i −0.227850 0.146430i
\(497\) 18.6984 16.2022i 0.838737 0.726769i
\(498\) 26.2237 + 12.5642i 1.17511 + 0.563017i
\(499\) 25.0161 16.0768i 1.11987 0.719699i 0.156450 0.987686i \(-0.449995\pi\)
0.963422 + 0.267987i \(0.0863585\pi\)
\(500\) 11.1642 0.601228i 0.499277 0.0268877i
\(501\) −31.9855 0.588730i −1.42900 0.0263025i
\(502\) 2.75997 0.810401i 0.123184 0.0361700i
\(503\) −17.7920 8.12535i −0.793308 0.362291i −0.0228145 0.999740i \(-0.507263\pi\)
−0.770493 + 0.637448i \(0.779990\pi\)
\(504\) −5.93560 0.218577i −0.264393 0.00973621i
\(505\) 0.733840 + 6.45879i 0.0326554 + 0.287412i
\(506\) −5.40907 + 1.12847i −0.240462 + 0.0501667i
\(507\) 27.2663 + 32.6627i 1.21094 + 1.45060i
\(508\) −2.97314 + 0.427473i −0.131912 + 0.0189660i
\(509\) 33.0632 + 15.0995i 1.46550 + 0.669272i 0.978898 0.204350i \(-0.0655082\pi\)
0.486604 + 0.873623i \(0.338235\pi\)
\(510\) −3.78178 + 7.32716i −0.167460 + 0.324452i
\(511\) −4.05161 3.51074i −0.179233 0.155306i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 4.73792 + 2.48840i 0.209184 + 0.109866i
\(514\) 3.30088 + 7.22792i 0.145596 + 0.318810i
\(515\) −7.14673 6.57379i −0.314923 0.289676i
\(516\) −2.63171 21.0468i −0.115855 0.926532i
\(517\) 0.746136 5.18949i 0.0328150 0.228234i
\(518\) 2.39361 16.6479i 0.105169 0.731468i
\(519\) −3.27822 26.2171i −0.143898 1.15080i
\(520\) 9.27808 10.0867i 0.406871 0.442332i
\(521\) −16.9256 37.0620i −0.741526 1.62371i −0.781029 0.624495i \(-0.785305\pi\)
0.0395030 0.999219i \(-0.487423\pi\)
\(522\) −7.19193 + 2.96966i −0.314782 + 0.129979i
\(523\) 2.03180 + 0.596591i 0.0888445 + 0.0260871i 0.325853 0.945421i \(-0.394349\pi\)
−0.237008 + 0.971508i \(0.576167\pi\)
\(524\) −9.12646 7.90813i −0.398691 0.345468i
\(525\) −16.0269 6.09366i −0.699469 0.265949i
\(526\) 16.3144 + 7.45056i 0.711343 + 0.324860i
\(527\) 12.7114 1.82762i 0.553717 0.0796125i
\(528\) −1.27885 1.53196i −0.0556550 0.0666699i
\(529\) 21.0814 9.19652i 0.916581 0.399849i
\(530\) −1.13104 9.95466i −0.0491291 0.432403i
\(531\) −0.634706 + 17.2358i −0.0275439 + 0.747971i
\(532\) −1.85485 0.847080i −0.0804178 0.0367256i
\(533\) −18.2533 + 5.35965i −0.790637 + 0.232152i
\(534\) 18.2548 + 0.336000i 0.789961 + 0.0145401i
\(535\) 0.111342 0.639176i 0.00481374 0.0276340i
\(536\) 5.22987 3.36104i 0.225896 0.145175i
\(537\) 12.6387 + 6.05541i 0.545399 + 0.261310i
\(538\) −20.2892 + 17.5807i −0.874730 + 0.757958i
\(539\) −2.98539 1.91859i −0.128590 0.0826397i
\(540\) −5.43042 10.2718i −0.233688 0.442029i
\(541\) 6.16013 42.8446i 0.264845 1.84204i −0.230170 0.973150i \(-0.573928\pi\)
0.495015 0.868885i \(-0.335163\pi\)
\(542\) 27.1922 + 17.4753i 1.16800 + 0.750631i
\(543\) 7.73341 + 1.25757i 0.331872 + 0.0539674i
\(544\) 1.93660 0.884415i 0.0830310 0.0379190i
\(545\) 5.02569 + 6.16006i 0.215277 + 0.263868i
\(546\) −19.2760 + 8.37784i −0.824937 + 0.358538i
\(547\) 0.847136 + 0.734048i 0.0362209 + 0.0313856i 0.672783 0.739840i \(-0.265099\pi\)
−0.636562 + 0.771225i \(0.719644\pi\)
\(548\) 0.118561 + 0.403780i 0.00506466 + 0.0172486i
\(549\) −18.7033 + 26.8743i −0.798238 + 1.14697i
\(550\) −2.07817 5.37286i −0.0886133 0.229099i
\(551\) −2.67125 −0.113799
\(552\) 6.51336 + 5.15521i 0.277227 + 0.219420i
\(553\) 23.2031i 0.986698i
\(554\) 6.59091 0.947629i 0.280021 0.0402609i
\(555\) 30.5501 12.2138i 1.29678 0.518445i
\(556\) −17.9030 + 5.25681i −0.759258 + 0.222938i
\(557\) 20.7887 + 18.0135i 0.880845 + 0.763257i 0.972590 0.232526i \(-0.0746991\pi\)
−0.0917452 + 0.995783i \(0.529245\pi\)
\(558\) −8.11803 + 16.1730i −0.343664 + 0.684656i
\(559\) −40.5783 63.1410i −1.71628 2.67058i
\(560\) 2.28197 + 3.79370i 0.0964306 + 0.160313i
\(561\) 4.19350 + 0.681925i 0.177050 + 0.0287909i
\(562\) −7.16107 4.60214i −0.302072 0.194130i
\(563\) 0.968031 + 0.139182i 0.0407976 + 0.00586582i 0.162683 0.986678i \(-0.447985\pi\)
−0.121886 + 0.992544i \(0.538894\pi\)
\(564\) −6.70779 + 4.13841i −0.282449 + 0.174259i
\(565\) 14.7761 29.9694i 0.621637 1.26082i
\(566\) −5.22669 6.03192i −0.219694 0.253541i
\(567\) 1.23179 + 17.7762i 0.0517301 + 0.746532i
\(568\) −6.75612 10.5127i −0.283480 0.441104i
\(569\) −21.2268 6.23274i −0.889872 0.261290i −0.195326 0.980738i \(-0.562577\pi\)
−0.694546 + 0.719448i \(0.744395\pi\)
\(570\) −0.377299 3.97099i −0.0158033 0.166326i
\(571\) 8.83153 + 30.0774i 0.369588 + 1.25870i 0.909048 + 0.416691i \(0.136810\pi\)
−0.539460 + 0.842011i \(0.681372\pi\)
\(572\) −6.42343 2.93348i −0.268577 0.122655i
\(573\) −15.4049 + 17.1307i −0.643548 + 0.715647i
\(574\) 6.14533i 0.256501i
\(575\) 13.0355 + 20.1265i 0.543619 + 0.839332i
\(576\) −0.535931 + 2.95174i −0.0223305 + 0.122989i
\(577\) 15.0185 2.15933i 0.625227 0.0898941i 0.177583 0.984106i \(-0.443172\pi\)
0.447644 + 0.894212i \(0.352263\pi\)
\(578\) 5.17914 11.3407i 0.215424 0.471713i
\(579\) 5.47683 8.18684i 0.227609 0.340233i
\(580\) 4.78375 + 3.27881i 0.198634 + 0.136145i
\(581\) −9.36444 + 31.8923i −0.388502 + 1.32312i
\(582\) −10.1045 3.17008i −0.418847 0.131404i
\(583\) −4.69572 + 2.14446i −0.194477 + 0.0888146i
\(584\) −2.04640 + 1.77321i −0.0846805 + 0.0733761i
\(585\) −33.0350 24.4767i −1.36583 1.01199i
\(586\) 21.6000 + 3.10562i 0.892289 + 0.128292i
\(587\) −1.03759 + 7.21660i −0.0428259 + 0.297861i 0.957140 + 0.289625i \(0.0935306\pi\)
−0.999966 + 0.00823577i \(0.997378\pi\)
\(588\) 0.661926 + 5.29366i 0.0272974 + 0.218307i
\(589\) −4.69510 + 4.06833i −0.193458 + 0.167633i
\(590\) 11.0162 6.62638i 0.453528 0.272804i
\(591\) −20.5260 6.43958i −0.844326 0.264889i
\(592\) −8.15094 2.39333i −0.335001 0.0983653i
\(593\) 8.56362 9.88294i 0.351666 0.405844i −0.552165 0.833735i \(-0.686198\pi\)
0.903830 + 0.427891i \(0.140743\pi\)
\(594\) −4.16420 + 4.30125i −0.170859 + 0.176482i
\(595\) −8.96079 2.92250i −0.367357 0.119811i
\(596\) −1.38027 9.59999i −0.0565380 0.393231i
\(597\) 14.5661 12.1596i 0.596152 0.497658i
\(598\) 28.6677 + 6.49268i 1.17231 + 0.265505i
\(599\) 20.7817i 0.849116i 0.905401 + 0.424558i \(0.139571\pi\)
−0.905401 + 0.424558i \(0.860429\pi\)
\(600\) −4.19850 + 7.57447i −0.171403 + 0.309227i
\(601\) 3.38787 7.41840i 0.138194 0.302603i −0.827864 0.560929i \(-0.810444\pi\)
0.966058 + 0.258327i \(0.0831711\pi\)
\(602\) 23.2634 6.83074i 0.948145 0.278400i
\(603\) −11.6864 14.5349i −0.475906 0.591905i
\(604\) 2.12157 + 0.622950i 0.0863256 + 0.0253475i
\(605\) 16.7586 13.6726i 0.681335 0.555869i
\(606\) −4.54086 2.17561i −0.184460 0.0883781i
\(607\) 4.70583 4.07763i 0.191004 0.165506i −0.554109 0.832444i \(-0.686941\pi\)
0.745113 + 0.666938i \(0.232396\pi\)
\(608\) −0.556818 + 0.866426i −0.0225820 + 0.0351382i
\(609\) −4.67007 7.56952i −0.189241 0.306733i
\(610\) 24.3937 + 0.723879i 0.987674 + 0.0293090i
\(611\) −15.0785 + 23.4626i −0.610011 + 0.949195i
\(612\) −3.25299 5.49650i −0.131494 0.222183i
\(613\) 16.7844 + 36.7527i 0.677916 + 1.48443i 0.864837 + 0.502053i \(0.167422\pi\)
−0.186921 + 0.982375i \(0.559851\pi\)
\(614\) −0.739526 1.15072i −0.0298448 0.0464395i
\(615\) 10.4136 6.00578i 0.419918 0.242176i
\(616\) 1.49381 1.72395i 0.0601875 0.0694600i
\(617\) −10.4759 35.6777i −0.421745 1.43633i −0.847163 0.531333i \(-0.821691\pi\)
0.425418 0.904997i \(-0.360127\pi\)
\(618\) 7.25469 1.98590i 0.291826 0.0798848i
\(619\) −23.6819 + 3.40494i −0.951856 + 0.136856i −0.600712 0.799465i \(-0.705116\pi\)
−0.351144 + 0.936322i \(0.614207\pi\)
\(620\) 13.4018 1.52269i 0.538228 0.0611528i
\(621\) 13.3116 21.0666i 0.534178 0.845372i
\(622\) 29.3880i 1.17835i
\(623\) 2.97014 + 20.6578i 0.118996 + 0.827636i
\(624\) 2.80285 + 10.2391i 0.112204 + 0.409891i
\(625\) −18.4931 + 16.8227i −0.739726 + 0.672908i
\(626\) 17.6780 20.4015i 0.706556 0.815409i
\(627\) −1.88496 + 0.819252i −0.0752781 + 0.0327178i
\(628\) −8.69982 + 5.59104i −0.347161 + 0.223107i
\(629\) 16.4515 7.51315i 0.655964 0.299569i
\(630\) 10.5930 8.01152i 0.422034 0.319187i
\(631\) −4.41336 + 6.86732i −0.175693 + 0.273384i −0.917921 0.396764i \(-0.870133\pi\)
0.742227 + 0.670148i \(0.233769\pi\)
\(632\) 11.6002 + 1.66786i 0.461432 + 0.0663439i
\(633\) −13.7472 + 8.48144i −0.546403 + 0.337107i
\(634\) 26.8448 + 17.2521i 1.06614 + 0.685168i
\(635\) 4.54701 4.94330i 0.180442 0.196169i
\(636\) 6.99864 + 3.35318i 0.277514 + 0.132962i
\(637\) 10.2062 + 15.8812i 0.404385 + 0.629235i
\(638\) 0.841892 2.86722i 0.0333308 0.113514i
\(639\) −29.2169 + 23.4911i −1.15580 + 0.929295i
\(640\) 2.06066 0.868156i 0.0814546 0.0343169i
\(641\) −6.95608 + 15.2317i −0.274748 + 0.601615i −0.995829 0.0912357i \(-0.970918\pi\)
0.721081 + 0.692851i \(0.243646\pi\)
\(642\) 0.373688 + 0.336040i 0.0147483 + 0.0132625i
\(643\) −37.2181 −1.46774 −0.733869 0.679291i \(-0.762287\pi\)
−0.733869 + 0.679291i \(0.762287\pi\)
\(644\) −4.62140 + 8.29460i −0.182109 + 0.326853i
\(645\) 34.3102 + 32.7455i 1.35096 + 1.28935i
\(646\) −0.312053 2.17038i −0.0122776 0.0853924i
\(647\) −8.96178 + 19.6236i −0.352324 + 0.771482i 0.647631 + 0.761954i \(0.275760\pi\)
−0.999955 + 0.00952755i \(0.996967\pi\)
\(648\) 8.97562 + 0.661949i 0.352596 + 0.0260038i
\(649\) −5.00602 4.33774i −0.196504 0.170271i
\(650\) −1.81717 + 30.5912i −0.0712755 + 1.19989i
\(651\) −19.7367 6.19197i −0.773544 0.242683i
\(652\) 1.24268 0.567512i 0.0486670 0.0222255i
\(653\) −8.12232 9.37366i −0.317851 0.366820i 0.574231 0.818693i \(-0.305301\pi\)
−0.892082 + 0.451874i \(0.850756\pi\)
\(654\) −6.11053 + 0.764068i −0.238940 + 0.0298774i
\(655\) 26.9910 + 0.800952i 1.05462 + 0.0312958i
\(656\) −3.07231 0.441731i −0.119953 0.0172467i
\(657\) 5.93927 + 5.54196i 0.231713 + 0.216212i
\(658\) −5.89990 6.80885i −0.230002 0.265437i
\(659\) −3.05395 6.68721i −0.118965 0.260497i 0.840776 0.541383i \(-0.182099\pi\)
−0.959741 + 0.280886i \(0.909372\pi\)
\(660\) 4.38123 + 0.846550i 0.170539 + 0.0329519i
\(661\) −0.711805 + 2.42418i −0.0276860 + 0.0942899i −0.972177 0.234247i \(-0.924737\pi\)
0.944491 + 0.328537i \(0.106556\pi\)
\(662\) 18.5223 21.3759i 0.719890 0.830797i
\(663\) −18.7850 12.5668i −0.729549 0.488054i
\(664\) 15.2712 + 6.97412i 0.592637 + 0.270648i
\(665\) 4.41109 1.15426i 0.171055 0.0447601i
\(666\) −4.55276 + 25.0752i −0.176416 + 0.971644i
\(667\) −0.993082 + 12.3990i −0.0384523 + 0.480090i
\(668\) −18.4699 −0.714624
\(669\) 35.8400 + 32.2292i 1.38565 + 1.24605i
\(670\) −4.31030 + 13.2160i −0.166521 + 0.510578i
\(671\) −3.54267 12.0652i −0.136763 0.465774i
\(672\) −3.42866 0.0631085i −0.132264 0.00243446i
\(673\) −9.16093 + 31.1993i −0.353128 + 1.20264i 0.571125 + 0.820863i \(0.306507\pi\)
−0.924253 + 0.381780i \(0.875311\pi\)
\(674\) −22.3726 + 14.3780i −0.861760 + 0.553820i
\(675\) 23.9284 + 10.1208i 0.921005 + 0.389551i
\(676\) 16.0866 + 18.5649i 0.618715 + 0.714036i
\(677\) 3.92374 6.10546i 0.150802 0.234652i −0.757631 0.652683i \(-0.773643\pi\)
0.908433 + 0.418031i \(0.137280\pi\)
\(678\) 13.5900 + 22.0275i 0.521921 + 0.845961i
\(679\) 1.72278 11.9822i 0.0661141 0.459834i
\(680\) −2.10519 + 4.26980i −0.0807303 + 0.163739i
\(681\) 30.5313 + 4.96484i 1.16996 + 0.190253i
\(682\) −2.88705 6.32176i −0.110551 0.242073i
\(683\) 6.66796 4.28524i 0.255142 0.163970i −0.406817 0.913510i \(-0.633361\pi\)
0.661960 + 0.749540i \(0.269725\pi\)
\(684\) 2.76141 + 1.38609i 0.105585 + 0.0529986i
\(685\) −0.776178 0.531998i −0.0296563 0.0203266i
\(686\) −19.1489 + 5.62263i −0.731109 + 0.214673i
\(687\) 7.39804 + 27.0257i 0.282253 + 1.03110i
\(688\) −1.74278 12.1213i −0.0664430 0.462121i
\(689\) 27.4611 1.04618
\(690\) −18.5721 + 0.275001i −0.707029 + 0.0104691i
\(691\) −20.3093 −0.772602 −0.386301 0.922373i \(-0.626247\pi\)
−0.386301 + 0.922373i \(0.626247\pi\)
\(692\) −2.17092 15.0991i −0.0825259 0.573980i
\(693\) −5.61694 3.90914i −0.213370 0.148496i
\(694\) −0.984877 + 0.289186i −0.0373854 + 0.0109774i
\(695\) 23.5880 34.4147i 0.894746 1.30542i
\(696\) −4.12001 + 1.79066i −0.156168 + 0.0678747i
\(697\) 5.55915 3.57265i 0.210568 0.135324i
\(698\) −2.39332 5.24065i −0.0905887 0.198362i
\(699\) −5.21071 + 32.0433i −0.197087 + 1.21199i
\(700\) −9.31629 3.34730i −0.352122 0.126516i
\(701\) 3.09661 21.5374i 0.116957 0.813455i −0.843918 0.536472i \(-0.819757\pi\)
0.960875 0.276982i \(-0.0893344\pi\)
\(702\) 29.6553 11.6111i 1.11927 0.438231i
\(703\) −4.73020 + 7.36033i −0.178403 + 0.277600i
\(704\) −0.754499 0.870738i −0.0284363 0.0328172i
\(705\) 5.77207 16.6520i 0.217389 0.627149i
\(706\) −6.00493 + 3.85914i −0.225999 + 0.145240i
\(707\) 1.62153 5.52244i 0.0609841 0.207693i
\(708\) −0.183255 + 9.95617i −0.00688714 + 0.374176i
\(709\) 10.6966 + 36.4292i 0.401719 + 1.36813i 0.873677 + 0.486507i \(0.161729\pi\)
−0.471958 + 0.881621i \(0.656453\pi\)
\(710\) 26.5658 + 8.66426i 0.996997 + 0.325164i
\(711\) 1.29383 35.1347i 0.0485223 1.31765i
\(712\) 10.5412 0.395047
\(713\) 17.1382 + 23.3054i 0.641831 + 0.872795i
\(714\) 5.60465 4.67868i 0.209749 0.175095i
\(715\) 15.2758 3.99725i 0.571283 0.149489i
\(716\) 7.36004 + 3.36122i 0.275058 + 0.125615i
\(717\) 14.7727 22.0825i 0.551698 0.824685i
\(718\) −7.81698 + 9.02128i −0.291727 + 0.336671i
\(719\) 7.20030 24.5220i 0.268526 0.914515i −0.709267 0.704940i \(-0.750974\pi\)
0.977793 0.209575i \(-0.0672079\pi\)
\(720\) −3.24386 5.87174i −0.120892 0.218827i
\(721\) 3.57165 + 7.82082i 0.133015 + 0.291263i
\(722\) −11.7477 13.5576i −0.437205 0.504561i
\(723\) 32.0606 4.00890i 1.19235 0.149093i
\(724\) 4.47749 + 0.643766i 0.166405 + 0.0239254i
\(725\) −12.9231 + 1.08117i −0.479950 + 0.0401535i
\(726\) 2.07867 + 16.6239i 0.0771467 + 0.616970i
\(727\) −8.64617 9.97821i −0.320669 0.370071i 0.572413 0.819965i \(-0.306007\pi\)
−0.893082 + 0.449894i \(0.851462\pi\)
\(728\) −11.0381 + 5.04093i −0.409099 + 0.186829i
\(729\) −0.873977 26.9859i −0.0323695 0.999476i
\(730\) 1.03907 5.96493i 0.0384577 0.220772i
\(731\) 19.7036 + 17.0733i 0.728763 + 0.631477i
\(732\) −10.5110 + 15.7120i −0.388498 + 0.580731i
\(733\) 13.7383 30.0827i 0.507436 1.11113i −0.466545 0.884497i \(-0.654501\pi\)
0.973981 0.226632i \(-0.0727713\pi\)
\(734\) 0.589501 + 4.10007i 0.0217589 + 0.151336i
\(735\) −8.62967 8.23613i −0.318310 0.303794i
\(736\) 3.81462 + 2.90665i 0.140609 + 0.107141i
\(737\) 7.16266 0.263840
\(738\) −0.342669 + 9.30539i −0.0126138 + 0.342536i
\(739\) 7.44755 16.3079i 0.273963 0.599894i −0.721775 0.692128i \(-0.756673\pi\)
0.995737 + 0.0922336i \(0.0294006\pi\)
\(740\) 17.5054 7.37502i 0.643510 0.271111i
\(741\) 10.9316 + 0.201208i 0.401582 + 0.00739157i
\(742\) −2.49920 + 8.51150i −0.0917486 + 0.312467i
\(743\) −20.5905 32.0395i −0.755393 1.17541i −0.979617 0.200877i \(-0.935621\pi\)
0.224223 0.974538i \(-0.428015\pi\)
\(744\) −4.51432 + 9.42214i −0.165503 + 0.345432i
\(745\) 15.9614 + 14.6818i 0.584782 + 0.537901i
\(746\) −6.92995 4.45361i −0.253724 0.163058i
\(747\) 15.9582 47.7699i 0.583879 1.74781i
\(748\) 2.42795 + 0.349087i 0.0887748 + 0.0127639i
\(749\) −0.310580 + 0.483272i −0.0113483 + 0.0176584i
\(750\) −3.43254 19.0583i −0.125338 0.695910i
\(751\) 15.5589 7.10551i 0.567752 0.259284i −0.110792 0.993844i \(-0.535339\pi\)
0.678544 + 0.734560i \(0.262611\pi\)
\(752\) −3.82812 + 2.46018i −0.139597 + 0.0897135i
\(753\) −1.98594 4.56931i −0.0723716 0.166515i
\(754\) −10.4100 + 12.0138i −0.379109 + 0.437515i
\(755\) −4.55640 + 1.91961i −0.165824 + 0.0698619i
\(756\) 0.899924 + 10.2483i 0.0327299 + 0.372727i
\(757\) 1.32280 + 9.20027i 0.0480780 + 0.334389i 0.999637 + 0.0269249i \(0.00857148\pi\)
−0.951560 + 0.307465i \(0.900519\pi\)
\(758\) 23.6563i 0.859236i
\(759\) 3.10190 + 9.05387i 0.112592 + 0.328635i
\(760\) −0.259989 2.28825i −0.00943078 0.0830037i
\(761\) −29.6915 + 4.26899i −1.07632 + 0.154751i −0.657601 0.753366i \(-0.728429\pi\)
−0.418716 + 0.908117i \(0.637520\pi\)
\(762\) 1.37362 + 5.01797i 0.0497612 + 0.181782i
\(763\) −1.98318 6.75408i −0.0717958 0.244514i
\(764\) −8.71049 + 10.0524i −0.315134 + 0.363684i
\(765\) 13.4057 + 4.92497i 0.484683 + 0.178063i
\(766\) −8.92915 13.8940i −0.322623 0.502012i
\(767\) 14.6379 + 32.0525i 0.528544 + 1.15735i
\(768\) −0.278005 + 1.70959i −0.0100317 + 0.0616897i
\(769\) −22.6676 + 35.2714i −0.817413 + 1.27192i 0.141986 + 0.989869i \(0.454651\pi\)
−0.959399 + 0.282051i \(0.908985\pi\)
\(770\) −0.151297 + 5.09849i −0.00545235 + 0.183737i
\(771\) 11.7130 7.22643i 0.421834 0.260253i
\(772\) 3.07453 4.78406i 0.110655 0.172182i
\(773\) 5.07104 4.39408i 0.182393 0.158044i −0.558879 0.829249i \(-0.688768\pi\)
0.741272 + 0.671205i \(0.234223\pi\)