Properties

Label 414.2.m.a.25.4
Level $414$
Weight $2$
Character 414.25
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 414.25
Dual form 414.2.m.a.265.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.888835 - 0.458227i) q^{2} +(-0.818784 + 1.52630i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.448629 - 1.84927i) q^{5} +(-0.0283727 + 1.73182i) q^{6} +(-1.08663 - 3.13963i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.65919 - 2.49942i) q^{9} +O(q^{10})\) \(q+(0.888835 - 0.458227i) q^{2} +(-0.818784 + 1.52630i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.448629 - 1.84927i) q^{5} +(-0.0283727 + 1.73182i) q^{6} +(-1.08663 - 3.13963i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.65919 - 2.49942i) q^{9} +(-1.24614 - 1.43813i) q^{10} +(-0.0584621 - 1.22727i) q^{11} +(0.768346 + 1.55230i) q^{12} +(0.00414324 - 0.0119711i) q^{13} +(-2.40450 - 2.29269i) q^{14} +(3.18988 + 0.829413i) q^{15} +(-0.327068 - 0.945001i) q^{16} +(-1.33487 + 2.92296i) q^{17} +(-2.62004 - 1.46129i) q^{18} +(-1.95710 - 4.28545i) q^{19} +(-1.76661 - 0.707242i) q^{20} +(5.68173 + 0.912143i) q^{21} +(-0.614331 - 1.06405i) q^{22} +(3.64396 - 3.11794i) q^{23} +(1.39424 + 1.02766i) q^{24} +(1.22563 - 0.631856i) q^{25} +(-0.00180282 - 0.0125389i) q^{26} +(5.17338 - 0.485932i) q^{27} +(-3.18777 - 0.936015i) q^{28} +(1.34969 + 1.89538i) q^{29} +(3.21534 - 0.724475i) q^{30} +(-0.618422 + 0.247579i) q^{31} +(-0.723734 - 0.690079i) q^{32} +(1.92105 + 0.915639i) q^{33} +(0.152897 + 3.20970i) q^{34} +(-5.31853 + 3.41801i) q^{35} +(-2.99839 - 0.0982726i) q^{36} +(8.14302 - 2.39101i) q^{37} +(-3.70325 - 2.91227i) q^{38} +(0.0148791 + 0.0161256i) q^{39} +(-1.89430 + 0.180884i) q^{40} +(2.08042 + 8.57560i) q^{41} +(5.46809 - 1.79277i) q^{42} +(-8.50931 - 3.40661i) q^{43} +(-1.03362 - 0.664265i) q^{44} +(-3.87775 + 4.18960i) q^{45} +(1.81016 - 4.44109i) q^{46} +(1.21841 - 2.11034i) q^{47} +(1.71015 + 0.274547i) q^{48} +(-3.17410 + 2.49614i) q^{49} +(0.799849 - 1.12323i) q^{50} +(-3.36834 - 4.43068i) q^{51} +(-0.00734805 - 0.0103189i) q^{52} +(-4.34014 + 5.00879i) q^{53} +(4.37562 - 2.80249i) q^{54} +(-2.24333 + 0.658702i) q^{55} +(-3.26231 + 0.628759i) q^{56} +(8.14333 + 0.521735i) q^{57} +(2.06817 + 1.06621i) q^{58} +(-3.28457 + 9.49014i) q^{59} +(2.52593 - 2.11729i) q^{60} +(1.83790 + 1.44534i) q^{61} +(-0.436228 + 0.503434i) q^{62} +(-6.04431 + 7.92518i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-0.0239966 - 0.00229140i) q^{65} +(2.12707 - 0.0664248i) q^{66} +(-0.0474064 + 0.995182i) q^{67} +(1.60667 + 2.78284i) q^{68} +(1.77530 + 8.11470i) q^{69} +(-3.16108 + 5.47514i) q^{70} +(2.29094 + 1.47230i) q^{71} +(-2.71011 + 1.28659i) q^{72} +(-0.782583 - 1.71362i) q^{73} +(6.14218 - 5.85656i) q^{74} +(-0.0391235 + 2.38803i) q^{75} +(-4.62606 - 0.891599i) q^{76} +(-3.78964 + 1.51714i) q^{77} +(0.0206142 + 0.00751498i) q^{78} +(-3.42674 + 0.660450i) q^{79} +(-1.60083 + 1.02879i) q^{80} +(-3.49420 + 8.29401i) q^{81} +(5.77872 + 6.66899i) q^{82} +(3.06742 - 12.6441i) q^{83} +(4.03874 - 4.09911i) q^{84} +(6.00421 + 1.15722i) q^{85} +(-9.12437 + 0.871272i) q^{86} +(-3.99802 + 0.508132i) q^{87} +(-1.22310 - 0.116792i) q^{88} +(-0.0118057 - 0.0821103i) q^{89} +(-1.52690 + 5.50076i) q^{90} -0.0420869 q^{91} +(-0.426094 - 4.77687i) q^{92} +(0.128474 - 1.14661i) q^{93} +(0.115948 - 2.43406i) q^{94} +(-7.04696 + 5.54179i) q^{95} +(1.64585 - 0.539610i) q^{96} +(8.25966 - 7.87557i) q^{97} +(-1.67746 + 3.67311i) q^{98} +(-2.97047 + 2.18239i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.888835 0.458227i 0.628502 0.324015i
\(3\) −0.818784 + 1.52630i −0.472725 + 0.881210i
\(4\) 0.580057 0.814576i 0.290028 0.407288i
\(5\) −0.448629 1.84927i −0.200633 0.827021i −0.979763 0.200159i \(-0.935854\pi\)
0.779130 0.626862i \(-0.215661\pi\)
\(6\) −0.0283727 + 1.73182i −0.0115831 + 0.707012i
\(7\) −1.08663 3.13963i −0.410709 1.18667i −0.940869 0.338769i \(-0.889989\pi\)
0.530160 0.847898i \(-0.322132\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −1.65919 2.49942i −0.553062 0.833140i
\(10\) −1.24614 1.43813i −0.394065 0.454776i
\(11\) −0.0584621 1.22727i −0.0176270 0.370036i −0.990396 0.138260i \(-0.955849\pi\)
0.972769 0.231777i \(-0.0744538\pi\)
\(12\) 0.768346 + 1.55230i 0.221803 + 0.448111i
\(13\) 0.00414324 0.0119711i 0.00114913 0.00332018i −0.944425 0.328728i \(-0.893380\pi\)
0.945574 + 0.325407i \(0.105501\pi\)
\(14\) −2.40450 2.29269i −0.642629 0.612746i
\(15\) 3.18988 + 0.829413i 0.823623 + 0.214154i
\(16\) −0.327068 0.945001i −0.0817670 0.236250i
\(17\) −1.33487 + 2.92296i −0.323754 + 0.708921i −0.999605 0.0281167i \(-0.991049\pi\)
0.675851 + 0.737038i \(0.263776\pi\)
\(18\) −2.62004 1.46129i −0.617550 0.344429i
\(19\) −1.95710 4.28545i −0.448990 0.983150i −0.989860 0.142044i \(-0.954632\pi\)
0.540871 0.841106i \(-0.318095\pi\)
\(20\) −1.76661 0.707242i −0.395025 0.158144i
\(21\) 5.68173 + 0.912143i 1.23986 + 0.199046i
\(22\) −0.614331 1.06405i −0.130976 0.226857i
\(23\) 3.64396 3.11794i 0.759818 0.650135i
\(24\) 1.39424 + 1.02766i 0.284598 + 0.209771i
\(25\) 1.22563 0.631856i 0.245126 0.126371i
\(26\) −0.00180282 0.0125389i −0.000353562 0.00245907i
\(27\) 5.17338 0.485932i 0.995618 0.0935177i
\(28\) −3.18777 0.936015i −0.602433 0.176890i
\(29\) 1.34969 + 1.89538i 0.250632 + 0.351963i 0.920655 0.390377i \(-0.127655\pi\)
−0.670023 + 0.742340i \(0.733716\pi\)
\(30\) 3.21534 0.724475i 0.587037 0.132271i
\(31\) −0.618422 + 0.247579i −0.111072 + 0.0444664i −0.426533 0.904472i \(-0.640265\pi\)
0.315461 + 0.948939i \(0.397841\pi\)
\(32\) −0.723734 0.690079i −0.127939 0.121990i
\(33\) 1.92105 + 0.915639i 0.334412 + 0.159392i
\(34\) 0.152897 + 3.20970i 0.0262216 + 0.550459i
\(35\) −5.31853 + 3.41801i −0.898996 + 0.577750i
\(36\) −2.99839 0.0982726i −0.499732 0.0163788i
\(37\) 8.14302 2.39101i 1.33870 0.393079i 0.467497 0.883995i \(-0.345156\pi\)
0.871207 + 0.490916i \(0.163338\pi\)
\(38\) −3.70325 2.91227i −0.600746 0.472432i
\(39\) 0.0148791 + 0.0161256i 0.00238256 + 0.00258216i
\(40\) −1.89430 + 0.180884i −0.299515 + 0.0286002i
\(41\) 2.08042 + 8.57560i 0.324907 + 1.33928i 0.866724 + 0.498787i \(0.166221\pi\)
−0.541818 + 0.840496i \(0.682264\pi\)
\(42\) 5.46809 1.79277i 0.843745 0.276631i
\(43\) −8.50931 3.40661i −1.29766 0.519503i −0.383005 0.923746i \(-0.625111\pi\)
−0.914652 + 0.404243i \(0.867535\pi\)
\(44\) −1.03362 0.664265i −0.155824 0.100142i
\(45\) −3.87775 + 4.18960i −0.578062 + 0.624549i
\(46\) 1.81016 4.44109i 0.266893 0.654804i
\(47\) 1.21841 2.11034i 0.177723 0.307825i −0.763377 0.645953i \(-0.776460\pi\)
0.941100 + 0.338128i \(0.109794\pi\)
\(48\) 1.71015 + 0.274547i 0.246839 + 0.0396275i
\(49\) −3.17410 + 2.49614i −0.453443 + 0.356591i
\(50\) 0.799849 1.12323i 0.113116 0.158849i
\(51\) −3.36834 4.43068i −0.471662 0.620420i
\(52\) −0.00734805 0.0103189i −0.00101899 0.00143097i
\(53\) −4.34014 + 5.00879i −0.596164 + 0.688010i −0.971000 0.239081i \(-0.923154\pi\)
0.374835 + 0.927091i \(0.377699\pi\)
\(54\) 4.37562 2.80249i 0.595446 0.381371i
\(55\) −2.24333 + 0.658702i −0.302491 + 0.0888194i
\(56\) −3.26231 + 0.628759i −0.435945 + 0.0840215i
\(57\) 8.14333 + 0.521735i 1.07861 + 0.0691055i
\(58\) 2.06817 + 1.06621i 0.271564 + 0.140001i
\(59\) −3.28457 + 9.49014i −0.427614 + 1.23551i 0.501319 + 0.865263i \(0.332848\pi\)
−0.928933 + 0.370248i \(0.879273\pi\)
\(60\) 2.52593 2.11729i 0.326096 0.273341i
\(61\) 1.83790 + 1.44534i 0.235319 + 0.185057i 0.728854 0.684669i \(-0.240053\pi\)
−0.493535 + 0.869726i \(0.664296\pi\)
\(62\) −0.436228 + 0.503434i −0.0554010 + 0.0639362i
\(63\) −6.04431 + 7.92518i −0.761512 + 0.998479i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −0.0239966 0.00229140i −0.00297641 0.000284213i
\(66\) 2.12707 0.0664248i 0.261824 0.00817633i
\(67\) −0.0474064 + 0.995182i −0.00579161 + 0.121581i 0.994120 + 0.108284i \(0.0345356\pi\)
−0.999912 + 0.0132967i \(0.995767\pi\)
\(68\) 1.60667 + 2.78284i 0.194837 + 0.337468i
\(69\) 1.77530 + 8.11470i 0.213721 + 0.976895i
\(70\) −3.16108 + 5.47514i −0.377821 + 0.654405i
\(71\) 2.29094 + 1.47230i 0.271884 + 0.174730i 0.669478 0.742832i \(-0.266518\pi\)
−0.397593 + 0.917562i \(0.630154\pi\)
\(72\) −2.71011 + 1.28659i −0.319389 + 0.151627i
\(73\) −0.782583 1.71362i −0.0915944 0.200564i 0.858290 0.513165i \(-0.171527\pi\)
−0.949885 + 0.312601i \(0.898800\pi\)
\(74\) 6.14218 5.85656i 0.714014 0.680811i
\(75\) −0.0391235 + 2.38803i −0.00451759 + 0.275746i
\(76\) −4.62606 0.891599i −0.530645 0.102273i
\(77\) −3.78964 + 1.51714i −0.431870 + 0.172895i
\(78\) 0.0206142 + 0.00751498i 0.00233410 + 0.000850904i
\(79\) −3.42674 + 0.660450i −0.385538 + 0.0743064i −0.378338 0.925668i \(-0.623504\pi\)
−0.00720054 + 0.999974i \(0.502292\pi\)
\(80\) −1.60083 + 1.02879i −0.178979 + 0.115023i
\(81\) −3.49420 + 8.29401i −0.388245 + 0.921556i
\(82\) 5.77872 + 6.66899i 0.638152 + 0.736467i
\(83\) 3.06742 12.6441i 0.336693 1.38787i −0.512002 0.858984i \(-0.671096\pi\)
0.848695 0.528883i \(-0.177389\pi\)
\(84\) 4.03874 4.09911i 0.440662 0.447249i
\(85\) 6.00421 + 1.15722i 0.651248 + 0.125518i
\(86\) −9.12437 + 0.871272i −0.983906 + 0.0939517i
\(87\) −3.99802 + 0.508132i −0.428633 + 0.0544774i
\(88\) −1.22310 0.116792i −0.130383 0.0124500i
\(89\) −0.0118057 0.0821103i −0.00125140 0.00870367i 0.989186 0.146665i \(-0.0468540\pi\)
−0.990438 + 0.137962i \(0.955945\pi\)
\(90\) −1.52690 + 5.50076i −0.160949 + 0.579831i
\(91\) −0.0420869 −0.00441191
\(92\) −0.426094 4.77687i −0.0444233 0.498023i
\(93\) 0.128474 1.14661i 0.0133221 0.118898i
\(94\) 0.115948 2.43406i 0.0119592 0.251054i
\(95\) −7.04696 + 5.54179i −0.723003 + 0.568576i
\(96\) 1.64585 0.539610i 0.167979 0.0550737i
\(97\) 8.25966 7.87557i 0.838641 0.799643i −0.143131 0.989704i \(-0.545717\pi\)
0.981772 + 0.190061i \(0.0608685\pi\)
\(98\) −1.67746 + 3.67311i −0.169449 + 0.371041i
\(99\) −2.97047 + 2.18239i −0.298543 + 0.219339i
\(100\) 0.196240 1.36488i 0.0196240 0.136488i
\(101\) −2.69527 + 11.1101i −0.268190 + 1.10549i 0.665210 + 0.746656i \(0.268342\pi\)
−0.933400 + 0.358837i \(0.883173\pi\)
\(102\) −5.02416 2.39469i −0.497466 0.237109i
\(103\) 7.76429 + 4.00277i 0.765038 + 0.394404i 0.796141 0.605112i \(-0.206872\pi\)
−0.0311026 + 0.999516i \(0.509902\pi\)
\(104\) −0.0112596 0.00580473i −0.00110409 0.000569200i
\(105\) −0.862187 10.9163i −0.0841409 1.06532i
\(106\) −1.56251 + 6.44076i −0.151764 + 0.625582i
\(107\) −0.284874 + 1.98134i −0.0275398 + 0.191543i −0.998947 0.0458754i \(-0.985392\pi\)
0.971407 + 0.237419i \(0.0763014\pi\)
\(108\) 2.60503 4.49598i 0.250669 0.432626i
\(109\) 8.13531 17.8138i 0.779221 1.70626i 0.0740114 0.997257i \(-0.476420\pi\)
0.705210 0.708999i \(-0.250853\pi\)
\(110\) −1.69212 + 1.61343i −0.161337 + 0.153835i
\(111\) −3.01798 + 14.3864i −0.286454 + 1.36550i
\(112\) −2.61155 + 2.05374i −0.246768 + 0.194060i
\(113\) −0.625573 + 13.1324i −0.0588490 + 1.23539i 0.755552 + 0.655089i \(0.227369\pi\)
−0.814401 + 0.580303i \(0.802934\pi\)
\(114\) 7.47715 3.26775i 0.700299 0.306053i
\(115\) −7.40071 5.33989i −0.690120 0.497947i
\(116\) 2.32683 0.216041
\(117\) −0.0367952 + 0.00950659i −0.00340172 + 0.000878884i
\(118\) 1.42919 + 9.94025i 0.131568 + 0.915074i
\(119\) 10.6275 + 1.01480i 0.974222 + 0.0930269i
\(120\) 1.27494 3.03937i 0.116385 0.277456i
\(121\) 9.44742 0.902119i 0.858856 0.0820108i
\(122\) 2.29588 + 0.442495i 0.207860 + 0.0400616i
\(123\) −14.7924 3.84622i −1.33378 0.346802i
\(124\) −0.157048 + 0.647361i −0.0141033 + 0.0581347i
\(125\) −7.94905 9.17369i −0.710984 0.820520i
\(126\) −1.74087 + 9.81385i −0.155089 + 0.874287i
\(127\) 9.73349 6.25534i 0.863708 0.555071i −0.0321141 0.999484i \(-0.510224\pi\)
0.895822 + 0.444413i \(0.146588\pi\)
\(128\) −0.981929 + 0.189251i −0.0867911 + 0.0167276i
\(129\) 12.1668 10.1985i 1.07123 0.897926i
\(130\) −0.0223790 + 0.00895921i −0.00196277 + 0.000785775i
\(131\) 11.1981 + 2.15826i 0.978386 + 0.188568i 0.653286 0.757111i \(-0.273390\pi\)
0.325100 + 0.945680i \(0.394602\pi\)
\(132\) 1.86018 1.03372i 0.161908 0.0899738i
\(133\) −11.3281 + 10.8013i −0.982267 + 0.936590i
\(134\) 0.413882 + 0.906276i 0.0357540 + 0.0782903i
\(135\) −3.21955 9.34900i −0.277095 0.804634i
\(136\) 2.70323 + 1.73726i 0.231800 + 0.148969i
\(137\) 9.07990 15.7268i 0.775748 1.34364i −0.158625 0.987339i \(-0.550706\pi\)
0.934373 0.356296i \(-0.115961\pi\)
\(138\) 5.29632 + 6.39914i 0.450852 + 0.544731i
\(139\) −9.47880 16.4178i −0.803981 1.39254i −0.916977 0.398941i \(-0.869378\pi\)
0.112996 0.993595i \(-0.463955\pi\)
\(140\) −0.300820 + 6.31499i −0.0254239 + 0.533714i
\(141\) 2.22341 + 3.58757i 0.187245 + 0.302128i
\(142\) 2.71091 + 0.258861i 0.227495 + 0.0217231i
\(143\) −0.0149340 0.00438502i −0.00124884 0.000366693i
\(144\) −1.81929 + 2.38541i −0.151607 + 0.198784i
\(145\) 2.89956 3.34627i 0.240796 0.277893i
\(146\) −1.48081 1.16452i −0.122553 0.0963767i
\(147\) −1.21096 6.88843i −0.0998781 0.568148i
\(148\) 2.77576 8.02003i 0.228166 0.659242i
\(149\) 15.8849 + 8.18924i 1.30134 + 0.670889i 0.962839 0.270077i \(-0.0870490\pi\)
0.338504 + 0.940965i \(0.390079\pi\)
\(150\) 1.05948 + 2.14049i 0.0865066 + 0.174771i
\(151\) 20.8839 4.02505i 1.69951 0.327554i 0.754923 0.655814i \(-0.227674\pi\)
0.944587 + 0.328260i \(0.106462\pi\)
\(152\) −4.52036 + 1.32730i −0.366649 + 0.107658i
\(153\) 9.52050 1.51333i 0.769687 0.122346i
\(154\) −2.67317 + 3.08501i −0.215410 + 0.248597i
\(155\) 0.735283 + 1.03256i 0.0590593 + 0.0829372i
\(156\) 0.0217662 0.00276639i 0.00174269 0.000221489i
\(157\) −6.78855 + 9.53319i −0.541785 + 0.760831i −0.991183 0.132501i \(-0.957699\pi\)
0.449398 + 0.893332i \(0.351639\pi\)
\(158\) −2.74317 + 2.15725i −0.218235 + 0.171622i
\(159\) −4.09128 10.7255i −0.324460 0.850585i
\(160\) −0.951457 + 1.64797i −0.0752193 + 0.130284i
\(161\) −13.7488 8.05261i −1.08356 0.634635i
\(162\) 0.694764 + 8.97314i 0.0545858 + 0.704997i
\(163\) −9.62300 6.18433i −0.753732 0.484394i 0.106490 0.994314i \(-0.466039\pi\)
−0.860222 + 0.509920i \(0.829675\pi\)
\(164\) 8.19224 + 3.27968i 0.639706 + 0.256100i
\(165\) 0.831427 3.96333i 0.0647265 0.308545i
\(166\) −3.06742 12.6441i −0.238078 0.981371i
\(167\) −0.682245 + 0.0651465i −0.0527937 + 0.00504119i −0.121419 0.992601i \(-0.538745\pi\)
0.0686258 + 0.997642i \(0.478139\pi\)
\(168\) 1.71145 5.49409i 0.132041 0.423878i
\(169\) 10.2186 + 8.03597i 0.786043 + 0.618151i
\(170\) 5.86703 1.72271i 0.449980 0.132126i
\(171\) −7.46395 + 12.0020i −0.570783 + 0.917814i
\(172\) −7.71083 + 4.95545i −0.587945 + 0.377849i
\(173\) 1.02458 + 21.5087i 0.0778976 + 1.63527i 0.612714 + 0.790305i \(0.290078\pi\)
−0.534817 + 0.844968i \(0.679619\pi\)
\(174\) −3.32075 + 2.28365i −0.251745 + 0.173123i
\(175\) −3.31560 3.16142i −0.250636 0.238981i
\(176\) −1.14065 + 0.456648i −0.0859798 + 0.0344211i
\(177\) −11.7955 12.7836i −0.886600 0.960875i
\(178\) −0.0481184 0.0675728i −0.00360663 0.00506480i
\(179\) −5.46624 1.60503i −0.408566 0.119966i 0.0709901 0.997477i \(-0.477384\pi\)
−0.479556 + 0.877511i \(0.659202\pi\)
\(180\) 1.16343 + 5.58893i 0.0867171 + 0.416575i
\(181\) 0.219899 + 1.52943i 0.0163449 + 0.113682i 0.996361 0.0852392i \(-0.0271654\pi\)
−0.980016 + 0.198921i \(0.936256\pi\)
\(182\) −0.0374084 + 0.0192853i −0.00277289 + 0.00142952i
\(183\) −3.71087 + 1.62177i −0.274315 + 0.119884i
\(184\) −2.56761 4.05060i −0.189287 0.298614i
\(185\) −8.07482 13.9860i −0.593673 1.02827i
\(186\) −0.411215 1.07802i −0.0301517 0.0790441i
\(187\) 3.66530 + 1.46737i 0.268033 + 0.107304i
\(188\) −1.01229 2.21661i −0.0738288 0.161663i
\(189\) −7.14722 15.7144i −0.519884 1.14306i
\(190\) −3.72419 + 8.15485i −0.270182 + 0.591615i
\(191\) −0.679607 1.96360i −0.0491747 0.142081i 0.917739 0.397183i \(-0.130012\pi\)
−0.966914 + 0.255102i \(0.917891\pi\)
\(192\) 1.21563 1.23380i 0.0877302 0.0890416i
\(193\) −11.6071 11.0673i −0.835497 0.796645i 0.145766 0.989319i \(-0.453435\pi\)
−0.981263 + 0.192674i \(0.938284\pi\)
\(194\) 3.73268 10.7849i 0.267991 0.774309i
\(195\) 0.0231454 0.0347499i 0.00165748 0.00248849i
\(196\) 0.192137 + 4.03345i 0.0137241 + 0.288103i
\(197\) −11.2295 12.9595i −0.800070 0.923330i 0.198315 0.980138i \(-0.436453\pi\)
−0.998385 + 0.0568087i \(0.981907\pi\)
\(198\) −1.64023 + 3.30093i −0.116566 + 0.234587i
\(199\) −3.14880 + 21.9004i −0.223212 + 1.55248i 0.502561 + 0.864542i \(0.332391\pi\)
−0.725773 + 0.687934i \(0.758518\pi\)
\(200\) −0.450999 1.30308i −0.0318904 0.0921414i
\(201\) −1.48013 0.887195i −0.104400 0.0625779i
\(202\) 2.69527 + 11.1101i 0.189639 + 0.781702i
\(203\) 4.48415 6.29711i 0.314726 0.441971i
\(204\) −5.56296 + 0.173722i −0.389485 + 0.0121630i
\(205\) 14.9253 7.69453i 1.04243 0.537409i
\(206\) 8.73535 0.608621
\(207\) −13.8391 3.93455i −0.961881 0.273470i
\(208\) −0.0126678 −0.000878355
\(209\) −5.14499 + 2.65243i −0.355887 + 0.183472i
\(210\) −5.76848 9.30771i −0.398063 0.642293i
\(211\) −9.31874 + 13.0863i −0.641528 + 0.900900i −0.999460 0.0328472i \(-0.989543\pi\)
0.357932 + 0.933748i \(0.383482\pi\)
\(212\) 1.56251 + 6.44076i 0.107314 + 0.442353i
\(213\) −4.12295 + 2.29117i −0.282500 + 0.156988i
\(214\) 0.654697 + 1.89162i 0.0447542 + 0.129309i
\(215\) −2.48224 + 17.2643i −0.169287 + 1.17742i
\(216\) 0.255263 5.18988i 0.0173684 0.353127i
\(217\) 1.44930 + 1.67258i 0.0983851 + 0.113542i
\(218\) −0.931824 19.5614i −0.0631111 1.32486i
\(219\) 3.25626 + 0.208626i 0.220038 + 0.0140976i
\(220\) −0.764698 + 2.20945i −0.0515559 + 0.148961i
\(221\) 0.0294603 + 0.0280904i 0.00198172 + 0.00188956i
\(222\) 3.90975 + 14.1701i 0.262405 + 0.951033i
\(223\) 5.03775 + 14.5556i 0.337353 + 0.974716i 0.978311 + 0.207141i \(0.0664158\pi\)
−0.640959 + 0.767575i \(0.721463\pi\)
\(224\) −1.38015 + 3.02212i −0.0922155 + 0.201924i
\(225\) −3.61282 2.01500i −0.240855 0.134333i
\(226\) 5.46158 + 11.9592i 0.363299 + 0.795513i
\(227\) −14.6887 5.88048i −0.974925 0.390301i −0.171157 0.985244i \(-0.554750\pi\)
−0.803768 + 0.594943i \(0.797175\pi\)
\(228\) 5.14859 6.33072i 0.340974 0.419262i
\(229\) −1.70844 2.95911i −0.112897 0.195543i 0.804040 0.594575i \(-0.202680\pi\)
−0.916937 + 0.399032i \(0.869346\pi\)
\(230\) −9.02489 1.35508i −0.595084 0.0893511i
\(231\) 0.787280 7.02635i 0.0517992 0.462300i
\(232\) 2.06817 1.06621i 0.135782 0.0700004i
\(233\) −3.32025 23.0929i −0.217517 1.51286i −0.747161 0.664643i \(-0.768583\pi\)
0.529644 0.848220i \(-0.322326\pi\)
\(234\) −0.0283487 + 0.0253103i −0.00185321 + 0.00165459i
\(235\) −4.44922 1.30641i −0.290235 0.0852207i
\(236\) 5.82520 + 8.18035i 0.379188 + 0.532495i
\(237\) 1.79771 5.77100i 0.116774 0.374867i
\(238\) 9.91112 3.96781i 0.642442 0.257195i
\(239\) 2.72146 + 2.59491i 0.176037 + 0.167851i 0.772975 0.634436i \(-0.218768\pi\)
−0.596938 + 0.802287i \(0.703616\pi\)
\(240\) −0.259511 3.28571i −0.0167514 0.212092i
\(241\) 0.861372 + 18.0824i 0.0554859 + 1.16479i 0.839255 + 0.543739i \(0.182992\pi\)
−0.783769 + 0.621053i \(0.786705\pi\)
\(242\) 7.98382 5.13089i 0.513220 0.329826i
\(243\) −9.79815 12.1242i −0.628552 0.777768i
\(244\) 2.24343 0.658729i 0.143621 0.0421708i
\(245\) 6.04004 + 4.74994i 0.385884 + 0.303463i
\(246\) −14.9104 + 3.35959i −0.950653 + 0.214200i
\(247\) −0.0594103 + 0.00567299i −0.00378018 + 0.000360964i
\(248\) 0.157048 + 0.647361i 0.00997256 + 0.0411075i
\(249\) 16.7871 + 15.0346i 1.06384 + 0.952777i
\(250\) −11.2690 4.51144i −0.712716 0.285328i
\(251\) 13.4985 + 8.67497i 0.852019 + 0.547559i 0.892204 0.451633i \(-0.149158\pi\)
−0.0401850 + 0.999192i \(0.512795\pi\)
\(252\) 2.94962 + 9.52061i 0.185808 + 0.599742i
\(253\) −4.03959 4.28985i −0.253967 0.269700i
\(254\) 5.78511 10.0201i 0.362990 0.628718i
\(255\) −6.68241 + 8.21672i −0.418469 + 0.514551i
\(256\) −0.786053 + 0.618159i −0.0491283 + 0.0386349i
\(257\) 16.4140 23.0502i 1.02387 1.43783i 0.128930 0.991654i \(-0.458846\pi\)
0.894945 0.446177i \(-0.147215\pi\)
\(258\) 6.14107 14.6399i 0.382326 0.911441i
\(259\) −16.3554 22.9679i −1.01627 1.42715i
\(260\) −0.0157859 + 0.0182179i −0.000979001 + 0.00112983i
\(261\) 2.49796 6.51824i 0.154620 0.403469i
\(262\) 10.9423 3.21294i 0.676016 0.198496i
\(263\) 2.00980 0.387358i 0.123930 0.0238855i −0.126909 0.991914i \(-0.540506\pi\)
0.250839 + 0.968029i \(0.419294\pi\)
\(264\) 1.17971 1.77119i 0.0726063 0.109009i
\(265\) 11.2097 + 5.77902i 0.688609 + 0.355003i
\(266\) −5.11935 + 14.7914i −0.313887 + 0.906918i
\(267\) 0.134991 + 0.0492115i 0.00826133 + 0.00301170i
\(268\) 0.783153 + 0.615878i 0.0478387 + 0.0376207i
\(269\) −5.79256 + 6.68497i −0.353179 + 0.407590i −0.904343 0.426807i \(-0.859638\pi\)
0.551164 + 0.834397i \(0.314184\pi\)
\(270\) −7.14561 6.83444i −0.434868 0.415931i
\(271\) −29.1796 8.56789i −1.77253 0.520462i −0.778317 0.627872i \(-0.783926\pi\)
−0.994215 + 0.107410i \(0.965744\pi\)
\(272\) 3.19879 + 0.305448i 0.193955 + 0.0185205i
\(273\) 0.0344601 0.0642373i 0.00208562 0.00388782i
\(274\) 0.864078 18.1392i 0.0522009 1.09583i
\(275\) −0.847111 1.46724i −0.0510827 0.0884778i
\(276\) 7.63981 + 3.26087i 0.459863 + 0.196281i
\(277\) −2.30303 + 3.98896i −0.138376 + 0.239673i −0.926882 0.375353i \(-0.877521\pi\)
0.788506 + 0.615027i \(0.210855\pi\)
\(278\) −15.9481 10.2492i −0.956506 0.614709i
\(279\) 1.64488 + 1.13492i 0.0984764 + 0.0679456i
\(280\) 2.62632 + 5.75083i 0.156952 + 0.343678i
\(281\) 19.6141 18.7020i 1.17008 1.11567i 0.178799 0.983886i \(-0.442779\pi\)
0.991279 0.131782i \(-0.0420698\pi\)
\(282\) 3.62016 + 2.16994i 0.215578 + 0.129218i
\(283\) 9.85986 + 1.90033i 0.586108 + 0.112963i 0.473680 0.880697i \(-0.342925\pi\)
0.112428 + 0.993660i \(0.464137\pi\)
\(284\) 2.52817 1.01213i 0.150019 0.0600587i
\(285\) −2.68850 15.2933i −0.159253 0.905898i
\(286\) −0.0152832 + 0.00294559i −0.000903714 + 0.000174177i
\(287\) 24.6635 15.8503i 1.45584 0.935612i
\(288\) −0.523988 + 2.95389i −0.0308763 + 0.174059i
\(289\) 4.37083 + 5.04420i 0.257107 + 0.296718i
\(290\) 1.04388 4.30294i 0.0612989 0.252678i
\(291\) 5.25761 + 19.0551i 0.308207 + 1.11703i
\(292\) −1.84982 0.356523i −0.108252 0.0208639i
\(293\) 31.1543 2.97488i 1.82006 0.173794i 0.871498 0.490398i \(-0.163149\pi\)
0.948558 + 0.316604i \(0.102543\pi\)
\(294\) −4.23280 5.56779i −0.246862 0.324720i
\(295\) 19.0234 + 1.81652i 1.10759 + 0.105762i
\(296\) −1.20780 8.40041i −0.0702017 0.488264i
\(297\) −0.898817 6.32073i −0.0521547 0.366766i
\(298\) 17.8716 1.03527
\(299\) −0.0222274 0.0565405i −0.00128544 0.00326982i
\(300\) 1.92254 + 1.41706i 0.110998 + 0.0818142i
\(301\) −1.44898 + 30.4178i −0.0835177 + 1.75325i
\(302\) 16.7180 13.1472i 0.962012 0.756535i
\(303\) −14.7505 13.2105i −0.847392 0.758926i
\(304\) −3.40965 + 3.25110i −0.195557 + 0.186463i
\(305\) 1.84830 4.04720i 0.105833 0.231742i
\(306\) 7.76871 5.70765i 0.444108 0.326284i
\(307\) −3.29463 + 22.9147i −0.188035 + 1.30781i 0.649054 + 0.760742i \(0.275165\pi\)
−0.837089 + 0.547067i \(0.815744\pi\)
\(308\) −0.962380 + 3.96698i −0.0548367 + 0.226040i
\(309\) −12.4667 + 8.57323i −0.709206 + 0.487714i
\(310\) 1.12669 + 0.580850i 0.0639918 + 0.0329901i
\(311\) 1.68331 + 0.867805i 0.0954516 + 0.0492087i 0.505291 0.862949i \(-0.331385\pi\)
−0.409840 + 0.912158i \(0.634415\pi\)
\(312\) 0.0180789 0.0124327i 0.00102352 0.000703864i
\(313\) −0.222297 + 0.916320i −0.0125650 + 0.0517935i −0.977749 0.209778i \(-0.932726\pi\)
0.965184 + 0.261572i \(0.0842409\pi\)
\(314\) −1.66555 + 11.5841i −0.0939922 + 0.653730i
\(315\) 17.3675 + 7.62213i 0.978547 + 0.429458i
\(316\) −1.44972 + 3.17444i −0.0815529 + 0.178576i
\(317\) −6.43062 + 6.13158i −0.361179 + 0.344384i −0.848840 0.528649i \(-0.822699\pi\)
0.487661 + 0.873033i \(0.337850\pi\)
\(318\) −8.55117 7.65845i −0.479526 0.429464i
\(319\) 2.24724 1.76725i 0.125821 0.0989468i
\(320\) −0.0905443 + 1.90076i −0.00506158 + 0.106256i
\(321\) −2.79087 2.05709i −0.155771 0.114816i
\(322\) −15.9104 0.857373i −0.886649 0.0477796i
\(323\) 15.1387 0.842338
\(324\) 4.72926 + 7.65729i 0.262737 + 0.425405i
\(325\) −0.00248593 0.0172900i −0.000137895 0.000959079i
\(326\) −11.3871 1.08733i −0.630672 0.0602219i
\(327\) 20.5282 + 27.0026i 1.13521 + 1.49325i
\(328\) 8.78438 0.838807i 0.485037 0.0463154i
\(329\) −7.94966 1.53217i −0.438279 0.0844713i
\(330\) −1.07710 3.90373i −0.0592926 0.214894i
\(331\) 4.24265 17.4884i 0.233197 0.961251i −0.728042 0.685533i \(-0.759569\pi\)
0.961239 0.275718i \(-0.0889156\pi\)
\(332\) −8.52028 9.83293i −0.467611 0.539652i
\(333\) −19.4869 16.3857i −1.06788 0.897931i
\(334\) −0.576552 + 0.370527i −0.0315475 + 0.0202744i
\(335\) 1.86163 0.358800i 0.101712 0.0196034i
\(336\) −0.996336 5.66757i −0.0543546 0.309191i
\(337\) −31.4815 + 12.6033i −1.71491 + 0.686545i −0.999921 0.0125956i \(-0.995991\pi\)
−0.714985 + 0.699140i \(0.753566\pi\)
\(338\) 12.7649 + 2.46024i 0.694320 + 0.133819i
\(339\) −19.5318 11.7074i −1.06082 0.635859i
\(340\) 4.42543 4.21964i 0.240002 0.228842i
\(341\) 0.340000 + 0.744497i 0.0184120 + 0.0403168i
\(342\) −1.13460 + 14.0880i −0.0613521 + 0.761790i
\(343\) −8.27855 5.32030i −0.447000 0.287269i
\(344\) −4.58294 + 7.93788i −0.247095 + 0.427982i
\(345\) 14.2099 6.92350i 0.765033 0.372749i
\(346\) 10.7665 + 18.6482i 0.578812 + 1.00253i
\(347\) −0.116681 + 2.44945i −0.00626379 + 0.131493i 0.993569 + 0.113225i \(0.0361182\pi\)
−0.999833 + 0.0182678i \(0.994185\pi\)
\(348\) −1.90517 + 3.55144i −0.102128 + 0.190377i
\(349\) −17.2023 1.64262i −0.920818 0.0879275i −0.376131 0.926567i \(-0.622746\pi\)
−0.544688 + 0.838639i \(0.683352\pi\)
\(350\) −4.39567 1.29068i −0.234958 0.0689900i
\(351\) 0.0156174 0.0639443i 0.000833595 0.00341310i
\(352\) −0.804603 + 0.928561i −0.0428855 + 0.0494925i
\(353\) −6.60328 5.19287i −0.351457 0.276389i 0.426785 0.904353i \(-0.359646\pi\)
−0.778242 + 0.627964i \(0.783888\pi\)
\(354\) −16.3420 5.95754i −0.868568 0.316640i
\(355\) 1.69490 4.89709i 0.0899559 0.259911i
\(356\) −0.0737330 0.0380120i −0.00390784 0.00201463i
\(357\) −10.2505 + 15.3899i −0.542516 + 0.814518i
\(358\) −5.59406 + 1.07817i −0.295655 + 0.0569828i
\(359\) −14.0458 + 4.12421i −0.741307 + 0.217668i −0.630516 0.776176i \(-0.717157\pi\)
−0.110791 + 0.993844i \(0.535339\pi\)
\(360\) 3.59510 + 4.43453i 0.189478 + 0.233720i
\(361\) −2.09250 + 2.41487i −0.110132 + 0.127099i
\(362\) 0.896279 + 1.25865i 0.0471074 + 0.0661530i
\(363\) −6.35849 + 15.1582i −0.333734 + 0.795601i
\(364\) −0.0244128 + 0.0342830i −0.00127958 + 0.00179692i
\(365\) −2.81786 + 2.21599i −0.147494 + 0.115990i
\(366\) −2.55521 + 3.14190i −0.133563 + 0.164230i
\(367\) 11.0555 19.1486i 0.577090 0.999550i −0.418721 0.908115i \(-0.637521\pi\)
0.995811 0.0914349i \(-0.0291453\pi\)
\(368\) −4.13828 2.42377i −0.215723 0.126348i
\(369\) 17.9822 19.4284i 0.936117 1.01140i
\(370\) −13.5859 8.73116i −0.706300 0.453911i
\(371\) 20.4419 + 8.18369i 1.06129 + 0.424876i
\(372\) −0.859479 0.769751i −0.0445619 0.0399097i
\(373\) 2.73157 + 11.2597i 0.141435 + 0.583003i 0.997780 + 0.0665988i \(0.0212148\pi\)
−0.856345 + 0.516405i \(0.827270\pi\)
\(374\) 3.93023 0.375292i 0.203228 0.0194059i
\(375\) 20.5104 4.62137i 1.05915 0.238646i
\(376\) −1.91547 1.50634i −0.0987827 0.0776835i
\(377\) 0.0282818 0.00830430i 0.00145659 0.000427693i
\(378\) −13.5535 10.6925i −0.697116 0.549963i
\(379\) −16.2635 + 10.4519i −0.835400 + 0.536879i −0.886990 0.461789i \(-0.847208\pi\)
0.0515894 + 0.998668i \(0.483571\pi\)
\(380\) 0.426572 + 8.95484i 0.0218827 + 0.459374i
\(381\) 1.57790 + 19.9780i 0.0808381 + 1.02350i
\(382\) −1.50383 1.43390i −0.0769427 0.0733647i
\(383\) 15.5404 6.22144i 0.794077 0.317901i 0.0610807 0.998133i \(-0.480545\pi\)
0.732997 + 0.680232i \(0.238121\pi\)
\(384\) 0.515133 1.65367i 0.0262878 0.0843887i
\(385\) 4.50576 + 6.32746i 0.229635 + 0.322477i
\(386\) −15.3882 4.51837i −0.783236 0.229979i
\(387\) 5.60397 + 26.9205i 0.284866 + 1.36845i
\(388\) −1.62418 11.2964i −0.0824551 0.573488i
\(389\) −17.2092 + 8.87194i −0.872539 + 0.449825i −0.835501 0.549489i \(-0.814823\pi\)
−0.0370379 + 0.999314i \(0.511792\pi\)
\(390\) 0.00464913 0.0414928i 0.000235418 0.00210107i
\(391\) 4.24939 + 14.8132i 0.214901 + 0.749135i
\(392\) 2.01901 + 3.49703i 0.101975 + 0.176627i
\(393\) −12.4630 + 15.3246i −0.628676 + 0.773022i
\(394\) −15.9196 6.37325i −0.802018 0.321079i
\(395\) 2.75869 + 6.04068i 0.138805 + 0.303940i
\(396\) 0.0546851 + 3.68558i 0.00274803 + 0.185207i
\(397\) −5.43553 + 11.9021i −0.272801 + 0.597351i −0.995600 0.0937075i \(-0.970128\pi\)
0.722799 + 0.691059i \(0.242855\pi\)
\(398\) 7.23657 + 20.9087i 0.362736 + 1.04806i
\(399\) −7.21077 26.1339i −0.360990 1.30833i
\(400\) −0.997968 0.951560i −0.0498984 0.0475780i
\(401\) −4.45860 + 12.8823i −0.222652 + 0.643310i 0.777249 + 0.629194i \(0.216615\pi\)
−0.999900 + 0.0141163i \(0.995506\pi\)
\(402\) −1.72213 0.110335i −0.0858920 0.00550302i
\(403\) 0.000401521 0.00842896i 2.00012e−5 0.000419876i
\(404\) 7.48659 + 8.63998i 0.372472 + 0.429855i
\(405\) 16.9055 + 2.74080i 0.840041 + 0.136192i
\(406\) 1.10017 7.65186i 0.0546006 0.379755i
\(407\) −3.41047 9.85391i −0.169051 0.488440i
\(408\) −4.86495 + 2.70351i −0.240851 + 0.133843i
\(409\) 6.10733 + 25.1748i 0.301988 + 1.24481i 0.897337 + 0.441345i \(0.145499\pi\)
−0.595349 + 0.803467i \(0.702986\pi\)
\(410\) 9.74030 13.6783i 0.481039 0.675525i
\(411\) 16.5694 + 26.7355i 0.817309 + 1.31877i
\(412\) 7.76429 4.00277i 0.382519 0.197202i
\(413\) 33.3646 1.64176
\(414\) −14.1036 + 2.84426i −0.693152 + 0.139788i
\(415\) −24.7585 −1.21535
\(416\) −0.0112596 + 0.00580473i −0.000552047 + 0.000284600i
\(417\) 32.8195 1.02490i 1.60718 0.0501895i
\(418\) −3.35764 + 4.71515i −0.164228 + 0.230625i
\(419\) 3.32089 + 13.6889i 0.162236 + 0.668746i 0.993594 + 0.113009i \(0.0360488\pi\)
−0.831358 + 0.555737i \(0.812436\pi\)
\(420\) −9.39227 5.62975i −0.458296 0.274704i
\(421\) 6.46763 + 18.6870i 0.315213 + 0.910749i 0.985653 + 0.168785i \(0.0539843\pi\)
−0.670440 + 0.741964i \(0.733895\pi\)
\(422\) −2.28632 + 15.9017i −0.111296 + 0.774082i
\(423\) −7.29620 + 0.456141i −0.354754 + 0.0221784i
\(424\) 4.34014 + 5.00879i 0.210776 + 0.243248i
\(425\) 0.210832 + 4.42591i 0.0102269 + 0.214688i
\(426\) −2.61475 + 3.92572i −0.126685 + 0.190202i
\(427\) 2.54070 7.34087i 0.122953 0.355250i
\(428\) 1.44871 + 1.38134i 0.0700260 + 0.0667697i
\(429\) 0.0189206 0.0192034i 0.000913493 0.000927148i
\(430\) 5.70468 + 16.4826i 0.275104 + 0.794861i
\(431\) −3.69879 + 8.09922i −0.178164 + 0.390126i −0.977553 0.210688i \(-0.932430\pi\)
0.799389 + 0.600814i \(0.205157\pi\)
\(432\) −2.15125 4.72992i −0.103502 0.227568i
\(433\) 1.32532 + 2.90204i 0.0636906 + 0.139463i 0.938801 0.344461i \(-0.111938\pi\)
−0.875110 + 0.483924i \(0.839211\pi\)
\(434\) 2.05461 + 0.822543i 0.0986246 + 0.0394833i
\(435\) 2.73331 + 7.16548i 0.131052 + 0.343559i
\(436\) −9.79178 16.9599i −0.468941 0.812230i
\(437\) −20.4934 9.51390i −0.980331 0.455112i
\(438\) 2.98988 1.30667i 0.142862 0.0624352i
\(439\) 27.5351 14.1953i 1.31418 0.677505i 0.348514 0.937304i \(-0.386686\pi\)
0.965663 + 0.259798i \(0.0836561\pi\)
\(440\) 0.332738 + 2.31424i 0.0158627 + 0.110327i
\(441\) 11.5053 + 3.79185i 0.547873 + 0.180564i
\(442\) 0.0390571 + 0.0114682i 0.00185776 + 0.000545487i
\(443\) −17.7813 24.9704i −0.844816 1.18638i −0.980674 0.195650i \(-0.937318\pi\)
0.135858 0.990728i \(-0.456621\pi\)
\(444\) 9.96822 + 10.8033i 0.473071 + 0.512702i
\(445\) −0.146548 + 0.0586690i −0.00694704 + 0.00278118i
\(446\) 11.1475 + 10.6291i 0.527849 + 0.503303i
\(447\) −25.5055 + 17.5399i −1.20637 + 0.829610i
\(448\) 0.158084 + 3.31859i 0.00746876 + 0.156789i
\(449\) −16.3436 + 10.5034i −0.771302 + 0.495686i −0.866137 0.499807i \(-0.833404\pi\)
0.0948345 + 0.995493i \(0.469768\pi\)
\(450\) −4.13453 0.135510i −0.194903 0.00638798i
\(451\) 10.4030 3.05458i 0.489856 0.143835i
\(452\) 10.3345 + 8.12711i 0.486092 + 0.382267i
\(453\) −10.9560 + 35.1708i −0.514757 + 1.65247i
\(454\) −15.7505 + 1.50399i −0.739205 + 0.0705855i
\(455\) 0.0188814 + 0.0778303i 0.000885175 + 0.00364874i
\(456\) 1.67534 7.98619i 0.0784550 0.373988i
\(457\) −18.4054 7.36840i −0.860968 0.344679i −0.101194 0.994867i \(-0.532266\pi\)
−0.759774 + 0.650187i \(0.774690\pi\)
\(458\) −2.87446 1.84731i −0.134315 0.0863189i
\(459\) −5.48543 + 15.7702i −0.256038 + 0.736091i
\(460\) −8.64258 + 2.93101i −0.402962 + 0.136659i
\(461\) −5.26173 + 9.11358i −0.245063 + 0.424462i −0.962149 0.272523i \(-0.912142\pi\)
0.717086 + 0.696984i \(0.245475\pi\)
\(462\) −2.51990 6.60602i −0.117236 0.307340i
\(463\) 28.0157 22.0318i 1.30200 1.02390i 0.304552 0.952496i \(-0.401493\pi\)
0.997447 0.0714076i \(-0.0227491\pi\)
\(464\) 1.34969 1.89538i 0.0626579 0.0879907i
\(465\) −2.17803 + 0.276819i −0.101004 + 0.0128372i
\(466\) −13.5329 19.0043i −0.626900 0.880358i
\(467\) −8.15025 + 9.40589i −0.377148 + 0.435252i −0.912312 0.409496i \(-0.865705\pi\)
0.535163 + 0.844749i \(0.320250\pi\)
\(468\) −0.0135995 + 0.0354868i −0.000628635 + 0.00164038i
\(469\) 3.17601 0.932561i 0.146655 0.0430617i
\(470\) −4.55326 + 0.877568i −0.210026 + 0.0404792i
\(471\) −8.99215 18.1670i −0.414336 0.837091i
\(472\) 8.92610 + 4.60172i 0.410857 + 0.211812i
\(473\) −3.68336 + 10.6424i −0.169361 + 0.489337i
\(474\) −1.04655 5.95323i −0.0480698 0.273441i
\(475\) −5.10646 4.01577i −0.234301 0.184256i
\(476\) 6.99120 8.06827i 0.320441 0.369809i
\(477\) 19.7202 + 2.53732i 0.902924 + 0.116176i
\(478\) 3.60799 + 1.05940i 0.165026 + 0.0484559i
\(479\) −4.39060 0.419251i −0.200611 0.0191561i −0.00573348 0.999984i \(-0.501825\pi\)
−0.194878 + 0.980827i \(0.562431\pi\)
\(480\) −1.73626 2.80154i −0.0792492 0.127872i
\(481\) 0.00511549 0.107387i 0.000233246 0.00489644i
\(482\) 9.05147 + 15.6776i 0.412283 + 0.714095i
\(483\) 23.5480 14.3915i 1.07147 0.654835i
\(484\) 4.74519 8.21892i 0.215691 0.373587i
\(485\) −18.2696 11.7412i −0.829580 0.533139i
\(486\) −14.2646 6.28665i −0.647054 0.285168i
\(487\) 3.18710 + 6.97877i 0.144421 + 0.316238i 0.967994 0.250972i \(-0.0807501\pi\)
−0.823573 + 0.567210i \(0.808023\pi\)
\(488\) 1.69219 1.61350i 0.0766018 0.0730397i
\(489\) 17.3183 9.62396i 0.783161 0.435211i
\(490\) 7.54515 + 1.45421i 0.340855 + 0.0656945i
\(491\) −28.4174 + 11.3766i −1.28246 + 0.513420i −0.909992 0.414625i \(-0.863913\pi\)
−0.372469 + 0.928045i \(0.621489\pi\)
\(492\) −11.7134 + 9.81847i −0.528083 + 0.442651i
\(493\) −7.34178 + 1.41501i −0.330657 + 0.0637289i
\(494\) −0.0502064 + 0.0322657i −0.00225889 + 0.00145170i
\(495\) 5.36848 + 4.51412i 0.241295 + 0.202895i
\(496\) 0.436228 + 0.503434i 0.0195872 + 0.0226048i
\(497\) 2.13305 8.79254i 0.0956802 0.394399i
\(498\) 21.8102 + 5.67096i 0.977339 + 0.254122i
\(499\) 30.4819 + 5.87490i 1.36456 + 0.262997i 0.818382 0.574674i \(-0.194871\pi\)
0.546175 + 0.837671i \(0.316083\pi\)
\(500\) −12.0836 + 1.15384i −0.540394 + 0.0516013i
\(501\) 0.459178 1.09465i 0.0205146 0.0489055i
\(502\) 15.9731 + 1.52524i 0.712913 + 0.0680749i
\(503\) −2.24362 15.6047i −0.100038 0.695780i −0.976690 0.214655i \(-0.931137\pi\)
0.876652 0.481125i \(-0.159772\pi\)
\(504\) 6.98432 + 7.11066i 0.311106 + 0.316734i
\(505\) 21.7548 0.968074
\(506\) −5.55625 1.96192i −0.247006 0.0872180i
\(507\) −20.6321 + 9.01688i −0.916304 + 0.400454i
\(508\) 0.550534 11.5571i 0.0244260 0.512764i
\(509\) −9.06479 + 7.12863i −0.401790 + 0.315971i −0.798524 0.601962i \(-0.794386\pi\)
0.396735 + 0.917933i \(0.370143\pi\)
\(510\) −2.17445 + 10.3654i −0.0962861 + 0.458987i
\(511\) −4.52974 + 4.31910i −0.200384 + 0.191066i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −12.2073 21.2193i −0.538964 0.936853i
\(514\) 4.02710 28.0091i 0.177628 1.23543i
\(515\) 3.91893 16.1541i 0.172689 0.711833i
\(516\) −1.25000 15.8265i −0.0550283 0.696722i
\(517\) −2.66120 1.37194i −0.117039 0.0603379i
\(518\) −25.0617 12.9202i −1.10115 0.567681i
\(519\) −33.6676 16.0471i −1.47784 0.704390i
\(520\) −0.00568315 + 0.0234263i −0.000249223 + 0.00102731i
\(521\) −0.218672 + 1.52090i −0.00958020 + 0.0666318i −0.994051 0.108918i \(-0.965261\pi\)
0.984471 + 0.175550i \(0.0561704\pi\)
\(522\) −0.766557 6.93827i −0.0335513 0.303680i
\(523\) 2.06382 4.51915i 0.0902448 0.197608i −0.859128 0.511761i \(-0.828993\pi\)
0.949372 + 0.314153i \(0.101720\pi\)
\(524\) 8.25363 7.86982i 0.360561 0.343795i
\(525\) 7.54003 2.47208i 0.329074 0.107891i
\(526\) 1.60889 1.26524i 0.0701508 0.0551672i
\(527\) 0.101851 2.13811i 0.00443668 0.0931373i
\(528\) 0.236965 2.11487i 0.0103126 0.0920380i
\(529\) 3.55691 22.7233i 0.154648 0.987970i
\(530\) 12.6117 0.547818
\(531\) 29.1696 7.53639i 1.26585 0.327051i
\(532\) 2.22755 + 15.4929i 0.0965764 + 0.671703i
\(533\) 0.111279 + 0.0106258i 0.00482003 + 0.000460257i
\(534\) 0.142535 0.0181156i 0.00616809 0.000783939i
\(535\) 3.79185 0.362077i 0.163936 0.0156540i
\(536\) 0.978306 + 0.188553i 0.0422564 + 0.00814425i
\(537\) 6.92543 7.02895i 0.298854 0.303322i
\(538\) −2.08540 + 8.59614i −0.0899081 + 0.370606i
\(539\) 3.24900 + 3.74955i 0.139945 + 0.161505i
\(540\) −9.48299 2.80038i −0.408083 0.120509i
\(541\) −19.8077 + 12.7296i −0.851600 + 0.547290i −0.892073 0.451891i \(-0.850750\pi\)
0.0404737 + 0.999181i \(0.487113\pi\)
\(542\) −29.8619 + 5.75540i −1.28268 + 0.247216i
\(543\) −2.51442 0.916640i −0.107904 0.0393368i
\(544\) 2.98316 1.19428i 0.127902 0.0512043i
\(545\) −36.5924 7.05261i −1.56745 0.302101i
\(546\) 0.00119412 0.0728869i 5.11035e−5 0.00311927i
\(547\) −29.6035 + 28.2269i −1.26576 + 1.20690i −0.298125 + 0.954527i \(0.596361\pi\)
−0.967631 + 0.252369i \(0.918790\pi\)
\(548\) −7.54385 16.5187i −0.322257 0.705645i
\(549\) 0.563095 6.99177i 0.0240323 0.298402i
\(550\) −1.42527 0.915965i −0.0607737 0.0390569i
\(551\) 5.48107 9.49349i 0.233501 0.404436i
\(552\) 8.28475 0.602384i 0.352623 0.0256392i
\(553\) 5.79718 + 10.0410i 0.246521 + 0.426987i
\(554\) −0.219165 + 4.60084i −0.00931143 + 0.195471i
\(555\) 27.9584 0.873093i 1.18677 0.0370608i
\(556\) −18.8718 1.80203i −0.800341 0.0764233i
\(557\) 14.9381 + 4.38622i 0.632948 + 0.185850i 0.582440 0.812873i \(-0.302098\pi\)
0.0505074 + 0.998724i \(0.483916\pi\)
\(558\) 1.98208 + 0.255026i 0.0839080 + 0.0107961i
\(559\) −0.0760369 + 0.0877513i −0.00321602 + 0.00371148i
\(560\) 4.96955 + 3.90810i 0.210002 + 0.165147i
\(561\) −5.24073 + 4.39290i −0.221264 + 0.185468i
\(562\) 8.86395 25.6107i 0.373903 1.08032i
\(563\) −6.53127 3.36711i −0.275260 0.141907i 0.315070 0.949069i \(-0.397972\pi\)
−0.590330 + 0.807162i \(0.701002\pi\)
\(564\) 4.21205 + 0.269862i 0.177359 + 0.0113632i
\(565\) 24.5660 4.73472i 1.03350 0.199191i
\(566\) 9.63457 2.82897i 0.404971 0.118910i
\(567\) 29.8370 + 1.95793i 1.25304 + 0.0822252i
\(568\) 1.78335 2.05809i 0.0748275 0.0863556i
\(569\) −7.42233 10.4232i −0.311160 0.436963i 0.629149 0.777285i \(-0.283404\pi\)
−0.940309 + 0.340321i \(0.889464\pi\)
\(570\) −9.39744 12.3613i −0.393615 0.517758i
\(571\) 10.4743 14.7091i 0.438337 0.615559i −0.535023 0.844837i \(-0.679697\pi\)
0.973361 + 0.229278i \(0.0736366\pi\)
\(572\) −0.0122345 + 0.00962131i −0.000511550 + 0.000402287i
\(573\) 3.55349 + 0.570476i 0.148449 + 0.0238320i
\(574\) 14.6588 25.3898i 0.611846 1.05975i
\(575\) 2.49606 6.12389i 0.104093 0.255384i
\(576\) 0.887810 + 2.86562i 0.0369921 + 0.119401i
\(577\) −0.487133 0.313061i −0.0202796 0.0130329i 0.530462 0.847709i \(-0.322019\pi\)
−0.550741 + 0.834676i \(0.685655\pi\)
\(578\) 6.19633 + 2.48064i 0.257733 + 0.103181i
\(579\) 26.3958 8.65416i 1.09697 0.359654i
\(580\) −1.04388 4.30294i −0.0433449 0.178670i
\(581\) −43.0308 + 4.10895i −1.78522 + 0.170468i
\(582\) 13.4047 + 14.5277i 0.555643 + 0.602192i
\(583\) 6.40087 + 5.03370i 0.265097 + 0.208475i
\(584\) −1.80755 + 0.530744i −0.0747969 + 0.0219624i
\(585\) 0.0340877 + 0.0637795i 0.00140935 + 0.00263696i
\(586\) 26.3279 16.9199i 1.08760 0.698956i
\(587\) 0.830978 + 17.4444i 0.0342981 + 0.720006i 0.948886 + 0.315619i \(0.102212\pi\)
−0.914588 + 0.404387i \(0.867485\pi\)
\(588\) −6.31357 3.00926i −0.260367 0.124100i
\(589\) 2.27130 + 2.16568i 0.0935873 + 0.0892353i
\(590\) 17.7411 7.10245i 0.730388 0.292403i
\(591\) 28.9747 6.52854i 1.19186 0.268548i
\(592\) −4.92282 6.91314i −0.202327 0.284128i
\(593\) 5.06976 + 1.48862i 0.208190 + 0.0611301i 0.384165 0.923265i \(-0.374489\pi\)
−0.175975 + 0.984395i \(0.556308\pi\)
\(594\) −3.69523 5.20623i −0.151617 0.213614i
\(595\) −2.89116 20.1085i −0.118526 0.824366i
\(596\) 15.8849 8.18924i 0.650671 0.335444i
\(597\) −30.8484 22.7377i −1.26254 0.930591i
\(598\) −0.0456648 0.0400701i −0.00186737 0.00163859i
\(599\) −4.80939 8.33011i −0.196506 0.340359i 0.750887 0.660431i \(-0.229626\pi\)
−0.947393 + 0.320072i \(0.896293\pi\)
\(600\) 2.35816 + 0.378577i 0.0962713 + 0.0154554i
\(601\) 25.5528 + 10.2298i 1.04232 + 0.417283i 0.828735 0.559641i \(-0.189061\pi\)
0.213587 + 0.976924i \(0.431485\pi\)
\(602\) 12.6503 + 27.7004i 0.515589 + 1.12898i
\(603\) 2.56603 1.53270i 0.104497 0.0624165i
\(604\) 8.83516 19.3463i 0.359498 0.787190i
\(605\) −5.90665 17.0661i −0.240140 0.693838i
\(606\) −19.1642 4.98295i −0.778491 0.202418i
\(607\) −18.9349 18.0544i −0.768543 0.732805i 0.200500 0.979694i \(-0.435743\pi\)
−0.969044 + 0.246889i \(0.920592\pi\)
\(608\) −1.54088 + 4.45208i −0.0624909 + 0.180556i
\(609\) 5.93974 + 12.0001i 0.240690 + 0.486270i
\(610\) −0.211705 4.44424i −0.00857169 0.179942i
\(611\) −0.0202150 0.0233293i −0.000817811 0.000943804i
\(612\) 4.28971 8.63299i 0.173401 0.348968i
\(613\) 2.36031 16.4163i 0.0953321 0.663049i −0.884985 0.465620i \(-0.845831\pi\)
0.980317 0.197430i \(-0.0632594\pi\)
\(614\) 7.57172 + 21.8771i 0.305570 + 0.882886i
\(615\) −0.476433 + 29.0806i −0.0192116 + 1.17264i
\(616\) 0.962380 + 3.96698i 0.0387754 + 0.159834i
\(617\) 10.9813 15.4210i 0.442089 0.620827i −0.532067 0.846702i \(-0.678585\pi\)
0.974156 + 0.225875i \(0.0725240\pi\)
\(618\) −7.15236 + 13.3328i −0.287710 + 0.536323i
\(619\) −1.65843 + 0.854980i −0.0666579 + 0.0343646i −0.491233 0.871028i \(-0.663454\pi\)
0.424575 + 0.905393i \(0.360423\pi\)
\(620\) 1.26760 0.0509082
\(621\) 17.3365 17.9010i 0.695689 0.718343i
\(622\) 1.89383 0.0759358
\(623\) −0.244967 + 0.126289i −0.00981440 + 0.00505967i
\(624\) 0.0103722 0.0193349i 0.000415220 0.000774015i
\(625\) −9.39925 + 13.1994i −0.375970 + 0.527976i
\(626\) 0.222297 + 0.916320i 0.00888477 + 0.0366235i
\(627\) 0.164234 10.0246i 0.00655888 0.400343i
\(628\) 3.82776 + 11.0596i 0.152744 + 0.441325i
\(629\) −3.88106 + 26.9934i −0.154748 + 1.07630i
\(630\) 18.9295 1.18343i 0.754169 0.0471489i
\(631\) 17.1524 + 19.7949i 0.682826 + 0.788023i 0.986326 0.164809i \(-0.0527007\pi\)
−0.303500 + 0.952831i \(0.598155\pi\)
\(632\) 0.166052 + 3.48585i 0.00660517 + 0.138660i
\(633\) −12.3436 24.9381i −0.490616 0.991199i
\(634\) −2.90611 + 8.39665i −0.115416 + 0.333473i
\(635\) −15.9346 15.1936i −0.632344 0.602939i
\(636\) −11.1099 2.88873i −0.440536 0.114545i
\(637\) 0.0167305 + 0.0483395i 0.000662886 + 0.00191528i
\(638\) 1.18762 2.60053i 0.0470185 0.102956i
\(639\) −0.121206 8.16884i −0.00479482 0.323154i
\(640\) 0.790499 + 1.73095i 0.0312472 + 0.0684219i
\(641\) −5.14156 2.05837i −0.203079 0.0813007i 0.267893 0.963449i \(-0.413673\pi\)
−0.470972 + 0.882148i \(0.656097\pi\)
\(642\) −3.42324 0.549566i −0.135104 0.0216896i
\(643\) −24.5543 42.5294i −0.968328 1.67719i −0.700393 0.713757i \(-0.746992\pi\)
−0.267935 0.963437i \(-0.586341\pi\)
\(644\) −14.5346 + 6.52848i −0.572742 + 0.257258i
\(645\) −24.3182 17.9244i −0.957527 0.705773i
\(646\) 13.4558 6.93694i 0.529411 0.272930i
\(647\) 4.65745 + 32.3933i 0.183103 + 1.27351i 0.849370 + 0.527797i \(0.176982\pi\)
−0.666267 + 0.745713i \(0.732109\pi\)
\(648\) 7.71231 + 4.63900i 0.302968 + 0.182237i
\(649\) 11.8390 + 3.47624i 0.464721 + 0.136454i
\(650\) −0.0101323 0.0142289i −0.000397423 0.000558103i
\(651\) −3.73953 + 0.842586i −0.146564 + 0.0330236i
\(652\) −10.6195 + 4.25140i −0.415891 + 0.166498i
\(653\) −16.8889 16.1035i −0.660913 0.630180i 0.283487 0.958976i \(-0.408509\pi\)
−0.944401 + 0.328796i \(0.893357\pi\)
\(654\) 30.6195 + 14.5943i 1.19732 + 0.570682i
\(655\) −1.03259 21.6767i −0.0403466 0.846979i
\(656\) 7.42351 4.77080i 0.289839 0.186268i
\(657\) −2.98460 + 4.79922i −0.116440 + 0.187235i
\(658\) −7.76802 + 2.28090i −0.302829 + 0.0889186i
\(659\) 32.5454 + 25.5940i 1.26779 + 0.996999i 0.999433 + 0.0336786i \(0.0107223\pi\)
0.268354 + 0.963320i \(0.413520\pi\)
\(660\) −2.74616 2.97622i −0.106894 0.115849i
\(661\) 13.2546 1.26566i 0.515545 0.0492286i 0.165958 0.986133i \(-0.446928\pi\)
0.349586 + 0.936904i \(0.386322\pi\)
\(662\) −4.24265 17.4884i −0.164895 0.679707i
\(663\) −0.0669960 + 0.0219654i −0.00260191 + 0.000853064i
\(664\) −12.0788 4.83564i −0.468750 0.187659i
\(665\) 25.0566 + 16.1029i 0.971655 + 0.624445i
\(666\) −24.8290 5.63477i −0.962105 0.218343i
\(667\) 10.8279 + 2.69842i 0.419258 + 0.104483i
\(668\) −0.342674 + 0.593529i −0.0132585 + 0.0229643i
\(669\) −26.3411 4.22879i −1.01840 0.163494i
\(670\) 1.49027 1.17196i 0.0575743 0.0452769i
\(671\) 1.66638 2.34010i 0.0643298 0.0903385i
\(672\) −3.48261 4.58099i −0.134345 0.176716i
\(673\) 9.45950 + 13.2840i 0.364637 + 0.512061i 0.955612 0.294629i \(-0.0951961\pi\)
−0.590975 + 0.806690i \(0.701257\pi\)
\(674\) −22.2067 + 25.6279i −0.855370 + 0.987150i
\(675\) 6.03361 3.86440i 0.232234 0.148741i
\(676\) 12.4733 3.66248i 0.479741 0.140865i
\(677\) −44.4943 + 8.57557i −1.71005 + 0.329586i −0.948082 0.318025i \(-0.896980\pi\)
−0.761971 + 0.647611i \(0.775768\pi\)
\(678\) −22.7252 1.45598i −0.872755 0.0559166i
\(679\) −33.7016 17.3744i −1.29335 0.666767i
\(680\) 1.99993 5.77841i 0.0766937 0.221592i
\(681\) 21.0023 17.6046i 0.804809 0.674609i
\(682\) 0.643352 + 0.505938i 0.0246352 + 0.0193734i
\(683\) 19.4323 22.4261i 0.743557 0.858111i −0.250370 0.968150i \(-0.580552\pi\)
0.993927 + 0.110039i \(0.0350977\pi\)
\(684\) 5.44701 + 13.0418i 0.208272 + 0.498665i
\(685\) −33.1568 9.73570i −1.26685 0.371982i
\(686\) −9.79617 0.935421i −0.374020 0.0357145i
\(687\) 5.91533 0.184726i 0.225684 0.00704773i
\(688\) −0.436130 + 9.15549i −0.0166273 + 0.349050i
\(689\) 0.0419784 + 0.0727088i 0.00159925 + 0.00276998i
\(690\) 9.45769 12.6652i 0.360048 0.482155i
\(691\) 6.09678 10.5599i 0.231932 0.401719i −0.726444 0.687225i \(-0.758829\pi\)
0.958377 + 0.285507i \(0.0921618\pi\)
\(692\) 18.1148 + 11.6416i 0.688619 + 0.442549i
\(693\) 10.0797 + 6.95469i 0.382896 + 0.264187i
\(694\) 1.01869 + 2.23062i 0.0386690 + 0.0846732i
\(695\) −26.1085 + 24.8944i −0.990351 + 0.944298i
\(696\) −0.0660183 + 4.02964i −0.00250242 + 0.152743i
\(697\) −27.8432 5.36634i −1.05464 0.203265i
\(698\) −16.0427 + 6.42253i −0.607226 + 0.243096i
\(699\) 37.9652 + 13.8404i 1.43598 + 0.523490i
\(700\) −4.49845 + 0.867006i −0.170026 + 0.0327697i
\(701\) −2.31407 + 1.48716i −0.0874011 + 0.0561693i −0.583611 0.812033i \(-0.698361\pi\)
0.496210 + 0.868202i \(0.334724\pi\)
\(702\) −0.0154197 0.0639923i −0.000581979 0.00241523i
\(703\) −26.1832 30.2171i −0.987520 1.13966i
\(704\) −0.289668 + 1.19403i −0.0109173 + 0.0450016i
\(705\) 5.63692 5.72118i 0.212299 0.215472i
\(706\) −8.24874 1.58981i −0.310445 0.0598335i
\(707\) 37.8102 3.61044i 1.42200 0.135785i
\(708\) −17.2553 + 2.19307i −0.648492 + 0.0824206i
\(709\) −38.3138 3.65853i −1.43891 0.137399i −0.653756 0.756705i \(-0.726808\pi\)
−0.785149 + 0.619306i \(0.787414\pi\)
\(710\) −0.737490 5.12936i −0.0276775 0.192501i
\(711\) 7.33634 + 7.46905i 0.275134 + 0.280111i
\(712\) −0.0829546 −0.00310886
\(713\) −1.48157 + 2.83037i −0.0554852 + 0.105998i
\(714\) −2.05899 + 18.3761i −0.0770557 + 0.687709i
\(715\) −0.00140927 + 0.0295843i −5.27039e−5 + 0.00110639i
\(716\) −4.47815 + 3.52166i −0.167356 + 0.131611i
\(717\) −6.18890 + 2.02910i −0.231129 + 0.0757782i
\(718\) −10.5946 + 10.1019i −0.395385 + 0.376999i
\(719\) −16.3241 + 35.7448i −0.608787 + 1.33306i 0.314614 + 0.949220i \(0.398125\pi\)
−0.923401 + 0.383837i \(0.874602\pi\)
\(720\) 5.22747 + 2.29420i 0.194816 + 0.0854996i
\(721\) 4.13025 28.7265i 0.153818 1.06983i
\(722\) −0.753329 + 3.10527i −0.0280360 + 0.115566i
\(723\) −28.3045 13.4909i −1.05266 0.501731i
\(724\) 1.37339 + 0.708032i 0.0510416 + 0.0263138i
\(725\) 2.85183 + 1.47022i 0.105914 + 0.0546026i
\(726\) 1.29426 + 16.3868i 0.0480344 + 0.608171i
\(727\) −10.4116 + 42.9171i −0.386144 + 1.59171i 0.364633 + 0.931151i \(0.381194\pi\)
−0.750777 + 0.660556i \(0.770321\pi\)
\(728\) −0.00598959 + 0.0416585i −0.000221989 + 0.00154397i
\(729\) 26.5277 5.02783i 0.982509 0.186216i
\(730\) −1.48919 + 3.26087i −0.0551174 + 0.120690i
\(731\) 21.3162 20.3250i 0.788408 0.751746i
\(732\) −0.831462 + 3.96350i −0.0307317 + 0.146495i
\(733\) 8.92065 7.01527i 0.329492 0.259115i −0.439684 0.898153i \(-0.644910\pi\)
0.769176 + 0.639037i \(0.220667\pi\)
\(734\) 1.05208 22.0859i 0.0388330 0.815205i
\(735\) −12.1953 + 5.32974i −0.449831 + 0.196591i
\(736\) −4.78888 0.258062i −0.176521 0.00951230i
\(737\) 1.22413 0.0450914
\(738\) 7.08065 25.5085i 0.260642 0.938982i
\(739\) −2.71855 18.9080i −0.100004 0.695540i −0.976718 0.214528i \(-0.931179\pi\)
0.876714 0.481012i \(-0.159731\pi\)
\(740\) −16.0765 1.53512i −0.590985 0.0564322i
\(741\) 0.0399855 0.0953229i 0.00146890 0.00350177i
\(742\) 21.9194 2.09305i 0.804688 0.0768384i
\(743\) −37.5100 7.22945i −1.37611 0.265223i −0.553034 0.833159i \(-0.686530\pi\)
−0.823073 + 0.567936i \(0.807742\pi\)
\(744\) −1.11666 0.290346i −0.0409386 0.0106446i
\(745\) 8.01772 33.0495i 0.293747 1.21084i
\(746\) 7.58739 + 8.75632i 0.277794 + 0.320591i
\(747\) −36.6923 + 13.3121i −1.34250 + 0.487065i
\(748\) 3.32136 2.13451i 0.121441 0.0780454i
\(749\) 6.53022 1.25860i 0.238609 0.0459881i
\(750\) 16.1127 13.5060i 0.588353 0.493170i
\(751\) 18.0543 7.22787i 0.658813 0.263749i −0.0180734 0.999837i \(-0.505753\pi\)
0.676886 + 0.736088i \(0.263329\pi\)
\(752\) −2.39278 0.461171i −0.0872557 0.0168172i
\(753\) −24.2930 + 13.4999i −0.885285 + 0.491963i
\(754\) 0.0213327 0.0203406i 0.000776890 0.000740763i
\(755\) −16.8126 36.8144i −0.611872 1.33981i
\(756\) −16.9464 3.29332i −0.616335 0.119777i
\(757\) −14.6658 9.42511i −0.533036 0.342561i 0.246274 0.969200i \(-0.420794\pi\)
−0.779310 + 0.626639i \(0.784430\pi\)
\(758\) −9.66624 + 16.7424i −0.351093 + 0.608112i
\(759\) 9.85514 2.65317i 0.357719 0.0963040i
\(760\) 4.48250 + 7.76392i 0.162597 + 0.281627i
\(761\) −1.45904 + 30.6291i −0.0528903 + 1.11030i 0.803942 + 0.594708i \(0.202732\pi\)
−0.856832 + 0.515595i \(0.827571\pi\)
\(762\) 10.5569 + 17.0341i 0.382438 + 0.617081i
\(763\) −64.7689 6.18468i −2.34479 0.223900i
\(764\) −1.99371 0.585406i −0.0721299 0.0211792i
\(765\) −7.06974 16.9271i −0.255607 0.612000i
\(766\) 10.9620 12.6509i 0.396074 0.457094i
\(767\) 0.0999986 + 0.0786397i 0.00361074 + 0.00283952i
\(768\) −0.299889 1.70589i −0.0108213 0.0615561i
\(769\) 6.85691 19.8117i 0.247266 0.714429i −0.751252 0.660015i \(-0.770550\pi\)
0.998518 0.0544138i \(-0.0173290\pi\)
\(770\) 6.90429 +