Properties

Label 690.2.w.b.493.10
Level $690$
Weight $2$
Character 690.493
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.w (of order \(44\), degree \(20\), minimal)

Newform invariants

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

Embedding invariants

Embedding label 493.10
Character \(\chi\) \(=\) 690.493
Dual form 690.2.w.b.7.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(0.855176 - 2.06608i) q^{5} +(0.142315 + 0.989821i) q^{6} +(1.43032 + 2.61943i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(0.855176 - 2.06608i) q^{5} +(0.142315 + 0.989821i) q^{6} +(1.43032 + 2.61943i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +(1.00039 - 1.99981i) q^{10} +(1.89288 + 1.64019i) q^{11} +(0.0713392 + 0.997452i) q^{12} +(-0.493393 - 0.269413i) q^{13} +(1.23980 + 2.71479i) q^{14} +(2.20064 + 0.396457i) q^{15} +(0.959493 + 0.281733i) q^{16} +(-3.79672 + 5.07183i) q^{17} +(-0.936950 + 0.349464i) q^{18} +(1.00290 - 6.97529i) q^{19} +(1.14051 - 1.92334i) q^{20} +(-2.25553 + 1.95443i) q^{21} +(1.77104 + 1.77104i) q^{22} +(4.79159 + 0.201680i) q^{23} +1.00000i q^{24} +(-3.53735 - 3.53372i) q^{25} +(-0.472917 - 0.303925i) q^{26} +(-0.599278 - 0.800541i) q^{27} +(1.04297 + 2.79632i) q^{28} +(8.91163 - 1.28130i) q^{29} +(2.16675 + 0.552438i) q^{30} +(-3.85826 + 2.47955i) q^{31} +(0.936950 + 0.349464i) q^{32} +(-1.20034 + 2.19827i) q^{33} +(-4.14887 + 4.78805i) q^{34} +(6.63511 - 0.715070i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(1.50519 - 4.03556i) q^{37} +(1.49795 - 6.88597i) q^{38} +(0.158378 - 0.539386i) q^{39} +(1.27481 - 1.83708i) q^{40} +(-2.06266 + 4.51659i) q^{41} +(-2.38921 + 1.78854i) q^{42} +(0.505099 - 0.109878i) q^{43} +(1.64019 + 1.89288i) q^{44} +(0.0803837 + 2.23462i) q^{45} +(4.76499 + 0.542994i) q^{46} +(-3.07604 + 3.07604i) q^{47} +(-0.0713392 + 0.997452i) q^{48} +(-1.03111 + 1.60444i) q^{49} +(-3.27624 - 3.77707i) q^{50} +(-5.76297 - 2.63186i) q^{51} +(-0.450030 - 0.336888i) q^{52} +(-12.4461 + 6.79606i) q^{53} +(-0.540641 - 0.841254i) q^{54} +(5.00750 - 2.50818i) q^{55} +(0.840829 + 2.86360i) q^{56} +(7.02906 - 0.502729i) q^{57} +(8.98033 - 0.642286i) q^{58} +(-1.37222 - 4.67337i) q^{59} +(2.12182 + 0.705605i) q^{60} +(1.62580 + 2.52979i) q^{61} +(-4.02532 + 2.19799i) q^{62} +(-2.38921 - 1.78854i) q^{63} +(0.909632 + 0.415415i) q^{64} +(-0.978567 + 0.788993i) q^{65} +(-1.35411 + 2.10703i) q^{66} +(1.11397 - 15.5754i) q^{67} +(-4.47987 + 4.47987i) q^{68} +(0.821454 + 4.72496i) q^{69} +(6.66922 - 0.239905i) q^{70} +(-6.74083 - 7.77933i) q^{71} +(-0.977147 + 0.212565i) q^{72} +(-8.43539 + 6.31466i) q^{73} +(1.78925 - 3.91790i) q^{74} +(2.70105 - 4.20765i) q^{75} +(1.98537 - 6.76157i) q^{76} +(-1.58894 + 7.30424i) q^{77} +(0.196454 - 0.526713i) q^{78} +(-0.503836 + 0.147940i) q^{79} +(1.40262 - 1.74146i) q^{80} +(0.654861 - 0.755750i) q^{81} +(-2.37961 + 4.35794i) q^{82} +(2.74142 + 1.02250i) q^{83} +(-2.51072 + 1.61354i) q^{84} +(7.23192 + 12.1816i) q^{85} +(0.511650 - 0.0735642i) q^{86} +(3.14632 + 8.43561i) q^{87} +(1.50097 + 2.00506i) q^{88} +(-8.73923 - 5.61636i) q^{89} +(-0.0792373 + 2.23466i) q^{90} -1.67775i q^{91} +(4.71412 + 0.881542i) q^{92} +(-3.24302 - 3.24302i) q^{93} +(-3.28764 + 2.84876i) q^{94} +(-13.5538 - 8.03716i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-5.02502 + 1.87424i) q^{97} +(-1.14294 + 1.52679i) q^{98} +(-2.40318 - 0.705637i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 + 0.0713392i 0.705305 + 0.0504444i
\(3\) 0.212565 + 0.977147i 0.122725 + 0.564156i
\(4\) 0.989821 + 0.142315i 0.494911 + 0.0711574i
\(5\) 0.855176 2.06608i 0.382446 0.923978i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) 1.43032 + 2.61943i 0.540608 + 0.990050i 0.995060 + 0.0992788i \(0.0316536\pi\)
−0.454451 + 0.890772i \(0.650165\pi\)
\(8\) 0.977147 + 0.212565i 0.345474 + 0.0751532i
\(9\) −0.909632 + 0.415415i −0.303211 + 0.138472i
\(10\) 1.00039 1.99981i 0.316351 0.632394i
\(11\) 1.89288 + 1.64019i 0.570724 + 0.494535i 0.891746 0.452537i \(-0.149481\pi\)
−0.321022 + 0.947072i \(0.604026\pi\)
\(12\) 0.0713392 + 0.997452i 0.0205938 + 0.287940i
\(13\) −0.493393 0.269413i −0.136843 0.0747218i 0.409369 0.912369i \(-0.365749\pi\)
−0.546212 + 0.837647i \(0.683931\pi\)
\(14\) 1.23980 + 2.71479i 0.331351 + 0.725558i
\(15\) 2.20064 + 0.396457i 0.568203 + 0.102365i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) −3.79672 + 5.07183i −0.920840 + 1.23010i 0.0520064 + 0.998647i \(0.483438\pi\)
−0.972846 + 0.231452i \(0.925653\pi\)
\(18\) −0.936950 + 0.349464i −0.220841 + 0.0823695i
\(19\) 1.00290 6.97529i 0.230080 1.60024i −0.467672 0.883902i \(-0.654907\pi\)
0.697752 0.716339i \(-0.254184\pi\)
\(20\) 1.14051 1.92334i 0.255025 0.430073i
\(21\) −2.25553 + 1.95443i −0.492197 + 0.426491i
\(22\) 1.77104 + 1.77104i 0.377588 + 0.377588i
\(23\) 4.79159 + 0.201680i 0.999115 + 0.0420533i
\(24\) 1.00000i 0.204124i
\(25\) −3.53735 3.53372i −0.707469 0.706744i
\(26\) −0.472917 0.303925i −0.0927466 0.0596046i
\(27\) −0.599278 0.800541i −0.115331 0.154064i
\(28\) 1.04297 + 2.79632i 0.197103 + 0.528455i
\(29\) 8.91163 1.28130i 1.65485 0.237931i 0.749317 0.662211i \(-0.230382\pi\)
0.905531 + 0.424280i \(0.139473\pi\)
\(30\) 2.16675 + 0.552438i 0.395593 + 0.100861i
\(31\) −3.85826 + 2.47955i −0.692964 + 0.445341i −0.839139 0.543918i \(-0.816940\pi\)
0.146174 + 0.989259i \(0.453304\pi\)
\(32\) 0.936950 + 0.349464i 0.165631 + 0.0617771i
\(33\) −1.20034 + 2.19827i −0.208953 + 0.382669i
\(34\) −4.14887 + 4.78805i −0.711525 + 0.821143i
\(35\) 6.63511 0.715070i 1.12154 0.120869i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) 1.50519 4.03556i 0.247451 0.663442i −0.752537 0.658550i \(-0.771170\pi\)
0.999988 0.00489211i \(-0.00155721\pi\)
\(38\) 1.49795 6.88597i 0.243000 1.11705i
\(39\) 0.158378 0.539386i 0.0253608 0.0863708i
\(40\) 1.27481 1.83708i 0.201565 0.290468i
\(41\) −2.06266 + 4.51659i −0.322133 + 0.705373i −0.999543 0.0302327i \(-0.990375\pi\)
0.677410 + 0.735606i \(0.263102\pi\)
\(42\) −2.38921 + 1.78854i −0.368663 + 0.275978i
\(43\) 0.505099 0.109878i 0.0770268 0.0167562i −0.173887 0.984766i \(-0.555633\pi\)
0.250914 + 0.968010i \(0.419269\pi\)
\(44\) 1.64019 + 1.89288i 0.247268 + 0.285362i
\(45\) 0.0803837 + 2.23462i 0.0119829 + 0.333118i
\(46\) 4.76499 + 0.542994i 0.702560 + 0.0800602i
\(47\) −3.07604 + 3.07604i −0.448686 + 0.448686i −0.894918 0.446232i \(-0.852766\pi\)
0.446232 + 0.894918i \(0.352766\pi\)
\(48\) −0.0713392 + 0.997452i −0.0102969 + 0.143970i
\(49\) −1.03111 + 1.60444i −0.147302 + 0.229206i
\(50\) −3.27624 3.77707i −0.463331 0.534158i
\(51\) −5.76297 2.63186i −0.806977 0.368534i
\(52\) −0.450030 0.336888i −0.0624079 0.0467180i
\(53\) −12.4461 + 6.79606i −1.70960 + 0.933510i −0.746083 + 0.665853i \(0.768068\pi\)
−0.963514 + 0.267657i \(0.913751\pi\)
\(54\) −0.540641 0.841254i −0.0735719 0.114480i
\(55\) 5.00750 2.50818i 0.675211 0.338203i
\(56\) 0.840829 + 2.86360i 0.112360 + 0.382665i
\(57\) 7.02906 0.502729i 0.931022 0.0665880i
\(58\) 8.98033 0.642286i 1.17918 0.0843363i
\(59\) −1.37222 4.67337i −0.178648 0.608420i −0.999315 0.0370128i \(-0.988216\pi\)
0.820666 0.571408i \(-0.193602\pi\)
\(60\) 2.12182 + 0.705605i 0.273926 + 0.0910932i
\(61\) 1.62580 + 2.52979i 0.208162 + 0.323906i 0.929598 0.368575i \(-0.120154\pi\)
−0.721436 + 0.692481i \(0.756518\pi\)
\(62\) −4.02532 + 2.19799i −0.511216 + 0.279145i
\(63\) −2.38921 1.78854i −0.301012 0.225335i
\(64\) 0.909632 + 0.415415i 0.113704 + 0.0519269i
\(65\) −0.978567 + 0.788993i −0.121376 + 0.0978625i
\(66\) −1.35411 + 2.10703i −0.166679 + 0.259358i
\(67\) 1.11397 15.5754i 0.136094 1.90284i −0.231475 0.972841i \(-0.574355\pi\)
0.367569 0.929996i \(-0.380190\pi\)
\(68\) −4.47987 + 4.47987i −0.543264 + 0.543264i
\(69\) 0.821454 + 4.72496i 0.0988915 + 0.568818i
\(70\) 6.66922 0.239905i 0.797124 0.0286741i
\(71\) −6.74083 7.77933i −0.799989 0.923237i 0.198391 0.980123i \(-0.436428\pi\)
−0.998381 + 0.0568859i \(0.981883\pi\)
\(72\) −0.977147 + 0.212565i −0.115158 + 0.0250511i
\(73\) −8.43539 + 6.31466i −0.987288 + 0.739075i −0.965424 0.260686i \(-0.916051\pi\)
−0.0218646 + 0.999761i \(0.506960\pi\)
\(74\) 1.78925 3.91790i 0.207996 0.455447i
\(75\) 2.70105 4.20765i 0.311890 0.485858i
\(76\) 1.98537 6.76157i 0.227738 0.775605i
\(77\) −1.58894 + 7.30424i −0.181077 + 0.832395i
\(78\) 0.196454 0.526713i 0.0222440 0.0596385i
\(79\) −0.503836 + 0.147940i −0.0566860 + 0.0166445i −0.309953 0.950752i \(-0.600313\pi\)
0.253267 + 0.967397i \(0.418495\pi\)
\(80\) 1.40262 1.74146i 0.156817 0.194701i
\(81\) 0.654861 0.755750i 0.0727623 0.0839722i
\(82\) −2.37961 + 4.35794i −0.262784 + 0.481254i
\(83\) 2.74142 + 1.02250i 0.300910 + 0.112234i 0.495384 0.868674i \(-0.335027\pi\)
−0.194474 + 0.980908i \(0.562300\pi\)
\(84\) −2.51072 + 1.61354i −0.273942 + 0.176052i
\(85\) 7.23192 + 12.1816i 0.784411 + 1.32128i
\(86\) 0.511650 0.0735642i 0.0551727 0.00793263i
\(87\) 3.14632 + 8.43561i 0.337321 + 0.904393i
\(88\) 1.50097 + 2.00506i 0.160004 + 0.213741i
\(89\) −8.73923 5.61636i −0.926356 0.595333i −0.0118610 0.999930i \(-0.503776\pi\)
−0.914495 + 0.404597i \(0.867412\pi\)
\(90\) −0.0792373 + 2.23466i −0.00835234 + 0.235554i
\(91\) 1.67775i 0.175876i
\(92\) 4.71412 + 0.881542i 0.491481 + 0.0919071i
\(93\) −3.24302 3.24302i −0.336286 0.336286i
\(94\) −3.28764 + 2.84876i −0.339094 + 0.293827i
\(95\) −13.5538 8.03716i −1.39059 0.824595i
\(96\) −0.142315 + 0.989821i −0.0145249 + 0.101023i
\(97\) −5.02502 + 1.87424i −0.510214 + 0.190300i −0.591368 0.806402i \(-0.701412\pi\)
0.0811545 + 0.996702i \(0.474139\pi\)
\(98\) −1.14294 + 1.52679i −0.115455 + 0.154229i
\(99\) −2.40318 0.705637i −0.241529 0.0709192i
\(100\) −2.99844 4.00117i −0.299844 0.400117i
\(101\) −0.112115 0.245498i −0.0111559 0.0244279i 0.903972 0.427592i \(-0.140638\pi\)
−0.915128 + 0.403164i \(0.867911\pi\)
\(102\) −5.56053 3.03628i −0.550575 0.300636i
\(103\) −0.0948770 1.32655i −0.00934851 0.130709i 0.990634 0.136540i \(-0.0435984\pi\)
−0.999983 + 0.00583128i \(0.998144\pi\)
\(104\) −0.424850 0.368135i −0.0416600 0.0360986i
\(105\) 2.10912 + 6.33148i 0.205829 + 0.617889i
\(106\) −12.8992 + 5.89085i −1.25288 + 0.572170i
\(107\) −6.15374 1.33866i −0.594905 0.129414i −0.0949750 0.995480i \(-0.530277\pi\)
−0.499930 + 0.866066i \(0.666641\pi\)
\(108\) −0.479249 0.877679i −0.0461158 0.0844547i
\(109\) −2.67003 18.5705i −0.255742 1.77873i −0.562358 0.826894i \(-0.690106\pi\)
0.306616 0.951833i \(-0.400803\pi\)
\(110\) 5.17367 2.14456i 0.493290 0.204476i
\(111\) 4.26329 + 0.612968i 0.404653 + 0.0581804i
\(112\) 0.634400 + 2.91629i 0.0599451 + 0.275563i
\(113\) 20.3418 + 1.45487i 1.91360 + 0.136863i 0.976957 0.213435i \(-0.0684650\pi\)
0.936638 + 0.350298i \(0.113920\pi\)
\(114\) 7.04702 0.660014
\(115\) 4.51434 9.72732i 0.420964 0.907077i
\(116\) 9.00327 0.835933
\(117\) 0.560725 + 0.0401038i 0.0518390 + 0.00370760i
\(118\) −1.03533 4.75935i −0.0953102 0.438134i
\(119\) −18.7158 2.69092i −1.71567 0.246677i
\(120\) 2.06608 + 0.855176i 0.188606 + 0.0780666i
\(121\) −0.672694 4.67869i −0.0611540 0.425335i
\(122\) 1.44118 + 2.63932i 0.130478 + 0.238953i
\(123\) −4.85182 1.05545i −0.437474 0.0951667i
\(124\) −4.17187 + 1.90523i −0.374645 + 0.171095i
\(125\) −10.3260 + 4.28648i −0.923585 + 0.383394i
\(126\) −2.25553 1.95443i −0.200939 0.174114i
\(127\) −0.371522 5.19456i −0.0329673 0.460943i −0.986944 0.161063i \(-0.948508\pi\)
0.953977 0.299880i \(-0.0969467\pi\)
\(128\) 0.877679 + 0.479249i 0.0775766 + 0.0423600i
\(129\) 0.214733 + 0.470200i 0.0189062 + 0.0413988i
\(130\) −1.03236 + 0.717173i −0.0905439 + 0.0629002i
\(131\) −0.678049 0.199093i −0.0592414 0.0173949i 0.251978 0.967733i \(-0.418919\pi\)
−0.311219 + 0.950338i \(0.600737\pi\)
\(132\) −1.50097 + 2.00506i −0.130643 + 0.174518i
\(133\) 19.7057 7.34986i 1.70870 0.637313i
\(134\) 2.22227 15.4562i 0.191975 1.33522i
\(135\) −2.16647 + 0.553550i −0.186460 + 0.0476420i
\(136\) −4.78805 + 4.14887i −0.410572 + 0.355762i
\(137\) −1.55815 1.55815i −0.133122 0.133122i 0.637406 0.770528i \(-0.280007\pi\)
−0.770528 + 0.637406i \(0.780007\pi\)
\(138\) 0.482287 + 4.77152i 0.0410550 + 0.406179i
\(139\) 6.45255i 0.547298i 0.961830 + 0.273649i \(0.0882306\pi\)
−0.961830 + 0.273649i \(0.911769\pi\)
\(140\) 6.66934 + 0.236483i 0.563662 + 0.0199865i
\(141\) −3.65960 2.35188i −0.308194 0.198064i
\(142\) −6.16868 8.24040i −0.517665 0.691519i
\(143\) −0.492045 1.31922i −0.0411469 0.110319i
\(144\) −0.989821 + 0.142315i −0.0824851 + 0.0118596i
\(145\) 4.97375 19.5078i 0.413048 1.62004i
\(146\) −8.86438 + 5.69679i −0.733622 + 0.471470i
\(147\) −1.78695 0.666499i −0.147385 0.0549719i
\(148\) 2.06419 3.78027i 0.169675 0.310737i
\(149\) 8.34352 9.62894i 0.683528 0.788833i −0.302901 0.953022i \(-0.597955\pi\)
0.986429 + 0.164189i \(0.0525006\pi\)
\(150\) 2.99433 4.00424i 0.244486 0.326945i
\(151\) −3.25982 + 0.957169i −0.265280 + 0.0778933i −0.411668 0.911334i \(-0.635054\pi\)
0.146388 + 0.989227i \(0.453235\pi\)
\(152\) 2.46268 6.60270i 0.199750 0.535550i
\(153\) 1.34671 6.19071i 0.108875 0.500489i
\(154\) −2.10597 + 7.17227i −0.169704 + 0.577958i
\(155\) 1.82346 + 10.0919i 0.146464 + 0.810603i
\(156\) 0.233528 0.511356i 0.0186972 0.0409413i
\(157\) 18.6551 13.9650i 1.48884 1.11453i 0.523992 0.851723i \(-0.324442\pi\)
0.964848 0.262809i \(-0.0846489\pi\)
\(158\) −0.513107 + 0.111619i −0.0408206 + 0.00887997i
\(159\) −9.28635 10.7170i −0.736455 0.849915i
\(160\) 1.52328 1.63696i 0.120426 0.129413i
\(161\) 6.32520 + 12.8397i 0.498495 + 1.01191i
\(162\) 0.707107 0.707107i 0.0555556 0.0555556i
\(163\) −0.112658 + 1.57516i −0.00882403 + 0.123376i −0.999955 0.00951456i \(-0.996971\pi\)
0.991131 + 0.132891i \(0.0424259\pi\)
\(164\) −2.68444 + 4.17707i −0.209620 + 0.326175i
\(165\) 3.51528 + 4.35991i 0.273664 + 0.339418i
\(166\) 2.66149 + 1.21546i 0.206572 + 0.0943382i
\(167\) 9.73298 + 7.28602i 0.753161 + 0.563809i 0.905413 0.424533i \(-0.139562\pi\)
−0.152252 + 0.988342i \(0.548653\pi\)
\(168\) −2.61943 + 1.43032i −0.202093 + 0.110351i
\(169\) −6.85748 10.6704i −0.527498 0.820803i
\(170\) 6.34446 + 12.6665i 0.486598 + 0.971476i
\(171\) 1.98537 + 6.76157i 0.151825 + 0.517070i
\(172\) 0.515595 0.0368761i 0.0393137 0.00281177i
\(173\) −15.1698 + 1.08497i −1.15334 + 0.0824884i −0.634878 0.772613i \(-0.718949\pi\)
−0.518461 + 0.855101i \(0.673495\pi\)
\(174\) 2.53651 + 8.63858i 0.192293 + 0.654889i
\(175\) 4.19680 14.3202i 0.317248 1.08250i
\(176\) 1.35411 + 2.10703i 0.102070 + 0.158824i
\(177\) 4.27488 2.33426i 0.321319 0.175454i
\(178\) −8.31629 6.22550i −0.623333 0.466621i
\(179\) −6.77381 3.09349i −0.506298 0.231219i 0.145855 0.989306i \(-0.453407\pi\)
−0.652153 + 0.758087i \(0.726134\pi\)
\(180\) −0.238454 + 2.22332i −0.0177733 + 0.165716i
\(181\) −12.9953 + 20.2211i −0.965934 + 1.50302i −0.104895 + 0.994483i \(0.533451\pi\)
−0.861039 + 0.508539i \(0.830186\pi\)
\(182\) 0.119690 1.67348i 0.00887198 0.124047i
\(183\) −2.12639 + 2.12639i −0.157187 + 0.157187i
\(184\) 4.63922 + 1.21560i 0.342008 + 0.0896150i
\(185\) −7.05058 6.56095i −0.518369 0.482370i
\(186\) −3.00340 3.46611i −0.220220 0.254148i
\(187\) −15.5055 + 3.37301i −1.13387 + 0.246659i
\(188\) −3.48249 + 2.60696i −0.253987 + 0.190132i
\(189\) 1.23980 2.71479i 0.0901824 0.197472i
\(190\) −12.9459 8.98360i −0.939197 0.651739i
\(191\) −1.38105 + 4.70344i −0.0999296 + 0.340329i −0.994248 0.107102i \(-0.965843\pi\)
0.894318 + 0.447431i \(0.147661\pi\)
\(192\) −0.212565 + 0.977147i −0.0153406 + 0.0705195i
\(193\) −4.55557 + 12.2140i −0.327917 + 0.879181i 0.663468 + 0.748205i \(0.269084\pi\)
−0.991386 + 0.130976i \(0.958189\pi\)
\(194\) −5.14593 + 1.51098i −0.369456 + 0.108482i
\(195\) −0.978971 0.788491i −0.0701056 0.0564650i
\(196\) −1.24895 + 1.44137i −0.0892108 + 0.102955i
\(197\) −9.67105 + 17.7112i −0.689034 + 1.26187i 0.265598 + 0.964084i \(0.414431\pi\)
−0.954632 + 0.297788i \(0.903751\pi\)
\(198\) −2.34672 0.875280i −0.166774 0.0622035i
\(199\) −4.73484 + 3.04289i −0.335644 + 0.215705i −0.697596 0.716492i \(-0.745747\pi\)
0.361952 + 0.932197i \(0.382110\pi\)
\(200\) −2.70536 4.20488i −0.191298 0.297330i
\(201\) 15.4562 2.22227i 1.09020 0.156747i
\(202\) −0.0943158 0.252870i −0.00663604 0.0177919i
\(203\) 16.1027 + 21.5107i 1.13019 + 1.50976i
\(204\) −5.32976 3.42523i −0.373158 0.239814i
\(205\) 7.56769 + 8.12409i 0.528550 + 0.567411i
\(206\) 1.32994i 0.0926615i
\(207\) −4.44236 + 1.80704i −0.308766 + 0.125598i
\(208\) −0.397505 0.397505i −0.0275620 0.0275620i
\(209\) 13.3391 11.5584i 0.922688 0.799513i
\(210\) 1.65207 + 6.46581i 0.114003 + 0.446183i
\(211\) −1.18461 + 8.23912i −0.0815516 + 0.567204i 0.907547 + 0.419950i \(0.137953\pi\)
−0.989099 + 0.147254i \(0.952957\pi\)
\(212\) −13.2865 + 4.95563i −0.912524 + 0.340354i
\(213\) 6.16868 8.24040i 0.422671 0.564623i
\(214\) −6.04256 1.77426i −0.413061 0.121286i
\(215\) 0.204933 1.13754i 0.0139763 0.0775794i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) −12.0135 6.55989i −0.815533 0.445315i
\(218\) −1.33842 18.7136i −0.0906495 1.26745i
\(219\) −7.96342 6.90034i −0.538118 0.466282i
\(220\) 5.31348 1.77001i 0.358235 0.119334i
\(221\) 3.23969 1.47952i 0.217925 0.0995232i
\(222\) 4.20870 + 0.915546i 0.282469 + 0.0614474i
\(223\) −5.04313 9.23581i −0.337713 0.618475i 0.652540 0.757754i \(-0.273703\pi\)
−0.990253 + 0.139279i \(0.955522\pi\)
\(224\) 0.424738 + 2.95412i 0.0283790 + 0.197380i
\(225\) 4.68564 + 1.74492i 0.312376 + 0.116328i
\(226\) 20.1862 + 2.90234i 1.34276 + 0.193060i
\(227\) 3.92693 + 18.0518i 0.260639 + 1.19814i 0.902286 + 0.431139i \(0.141888\pi\)
−0.641646 + 0.767001i \(0.721748\pi\)
\(228\) 7.02906 + 0.502729i 0.465511 + 0.0332940i
\(229\) 2.94851 0.194843 0.0974215 0.995243i \(-0.468940\pi\)
0.0974215 + 0.995243i \(0.468940\pi\)
\(230\) 5.19678 9.38049i 0.342665 0.618531i
\(231\) −7.47507 −0.491823
\(232\) 8.98033 + 0.642286i 0.589588 + 0.0421681i
\(233\) 4.49908 + 20.6819i 0.294745 + 1.35492i 0.851549 + 0.524275i \(0.175664\pi\)
−0.556804 + 0.830644i \(0.687973\pi\)
\(234\) 0.556435 + 0.0800033i 0.0363753 + 0.00522998i
\(235\) 3.72477 + 8.98588i 0.242977 + 0.586174i
\(236\) −0.693167 4.82109i −0.0451214 0.313826i
\(237\) −0.251657 0.460875i −0.0163469 0.0299371i
\(238\) −18.4761 4.01924i −1.19763 0.260528i
\(239\) −25.8952 + 11.8259i −1.67502 + 0.764957i −0.675400 + 0.737451i \(0.736029\pi\)
−0.999622 + 0.0275058i \(0.991244\pi\)
\(240\) 1.99981 + 1.00039i 0.129087 + 0.0645749i
\(241\) 3.08360 + 2.67195i 0.198632 + 0.172116i 0.748498 0.663138i \(-0.230776\pi\)
−0.549865 + 0.835253i \(0.685321\pi\)
\(242\) −0.337206 4.71476i −0.0216764 0.303076i
\(243\) 0.877679 + 0.479249i 0.0563031 + 0.0307438i
\(244\) 1.24922 + 2.73541i 0.0799732 + 0.175117i
\(245\) 2.43311 + 3.50243i 0.155446 + 0.223762i
\(246\) −4.76417 1.39889i −0.303752 0.0891897i
\(247\) −2.37406 + 3.17137i −0.151058 + 0.201789i
\(248\) −4.29716 + 1.60276i −0.272870 + 0.101775i
\(249\) −0.416399 + 2.89612i −0.0263882 + 0.183534i
\(250\) −10.6055 + 3.53891i −0.670749 + 0.223820i
\(251\) 10.5939 9.17967i 0.668681 0.579416i −0.252951 0.967479i \(-0.581401\pi\)
0.921633 + 0.388063i \(0.126856\pi\)
\(252\) −2.11036 2.11036i −0.132940 0.132940i
\(253\) 8.73910 + 8.24086i 0.549422 + 0.518098i
\(254\) 5.20783i 0.326768i
\(255\) −10.3660 + 9.65603i −0.649143 + 0.604684i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 11.3741 + 15.1941i 0.709500 + 0.947781i 0.999959 0.00910663i \(-0.00289877\pi\)
−0.290459 + 0.956888i \(0.593808\pi\)
\(258\) 0.180642 + 0.484320i 0.0112463 + 0.0301525i
\(259\) 12.7238 1.82940i 0.790615 0.113673i
\(260\) −1.08089 + 0.641698i −0.0670341 + 0.0397964i
\(261\) −7.57403 + 4.86754i −0.468821 + 0.301293i
\(262\) −0.662118 0.246957i −0.0409058 0.0152571i
\(263\) 14.7122 26.9433i 0.907191 1.66140i 0.170291 0.985394i \(-0.445529\pi\)
0.736900 0.676002i \(-0.236289\pi\)
\(264\) −1.64019 + 1.89288i −0.100947 + 0.116499i
\(265\) 3.39761 + 31.5263i 0.208714 + 1.93665i
\(266\) 20.1798 5.92534i 1.23731 0.363306i
\(267\) 3.63035 9.73335i 0.222174 0.595671i
\(268\) 3.31924 15.2583i 0.202755 0.932050i
\(269\) −5.96439 + 20.3129i −0.363656 + 1.23850i 0.551083 + 0.834451i \(0.314215\pi\)
−0.914738 + 0.404047i \(0.867603\pi\)
\(270\) −2.20044 + 0.397585i −0.133914 + 0.0241963i
\(271\) −4.15588 + 9.10010i −0.252452 + 0.552792i −0.992849 0.119378i \(-0.961910\pi\)
0.740397 + 0.672169i \(0.234637\pi\)
\(272\) −5.07183 + 3.79672i −0.307525 + 0.230210i
\(273\) 1.63941 0.356632i 0.0992217 0.0215844i
\(274\) −1.44303 1.66534i −0.0871764 0.100607i
\(275\) −0.899801 12.4908i −0.0542601 0.753224i
\(276\) 0.140662 + 4.79377i 0.00846683 + 0.288551i
\(277\) −1.31549 + 1.31549i −0.0790400 + 0.0790400i −0.745522 0.666482i \(-0.767800\pi\)
0.666482 + 0.745522i \(0.267800\pi\)
\(278\) −0.460319 + 6.43611i −0.0276081 + 0.386012i
\(279\) 2.47955 3.85826i 0.148447 0.230988i
\(280\) 6.63548 + 0.711666i 0.396546 + 0.0425302i
\(281\) 7.78865 + 3.55696i 0.464632 + 0.212190i 0.633955 0.773370i \(-0.281431\pi\)
−0.169322 + 0.985561i \(0.554158\pi\)
\(282\) −3.48249 2.60696i −0.207379 0.155242i
\(283\) 19.7823 10.8020i 1.17594 0.642109i 0.232154 0.972679i \(-0.425423\pi\)
0.943782 + 0.330570i \(0.107241\pi\)
\(284\) −5.56510 8.65947i −0.330228 0.513845i
\(285\) 4.97241 14.9525i 0.294540 0.885710i
\(286\) −0.396679 1.35096i −0.0234561 0.0798842i
\(287\) −14.7811 + 1.05717i −0.872503 + 0.0624026i
\(288\) −0.997452 + 0.0713392i −0.0587754 + 0.00420370i
\(289\) −6.51887 22.2012i −0.383463 1.30595i
\(290\) 6.35275 19.1033i 0.373047 1.12179i
\(291\) −2.89955 4.51179i −0.169975 0.264486i
\(292\) −9.24820 + 5.04990i −0.541210 + 0.295523i
\(293\) −17.4245 13.0438i −1.01795 0.762028i −0.0464144 0.998922i \(-0.514779\pi\)
−0.971535 + 0.236895i \(0.923870\pi\)
\(294\) −1.73485 0.792280i −0.101179 0.0462067i
\(295\) −10.8290 1.16143i −0.630490 0.0676211i
\(296\) 2.32861 3.62339i 0.135348 0.210605i
\(297\) 0.178679 2.49825i 0.0103680 0.144963i
\(298\) 9.00918 9.00918i 0.521888 0.521888i
\(299\) −2.30980 1.39043i −0.133579 0.0804104i
\(300\) 3.27236 3.78043i 0.188930 0.218263i
\(301\) 1.01027 + 1.16591i 0.0582308 + 0.0672019i
\(302\) −3.31980 + 0.722177i −0.191033 + 0.0415566i
\(303\) 0.216056 0.161737i 0.0124121 0.00929156i
\(304\) 2.92744 6.41019i 0.167900 0.367650i
\(305\) 6.61708 1.19560i 0.378893 0.0684601i
\(306\) 1.78492 6.07886i 0.102037 0.347505i
\(307\) 2.01544 9.26483i 0.115027 0.528772i −0.883186 0.469023i \(-0.844606\pi\)
0.998213 0.0597492i \(-0.0190301\pi\)
\(308\) −2.61227 + 7.00376i −0.148848 + 0.399076i
\(309\) 1.27607 0.374688i 0.0725931 0.0213153i
\(310\) 1.09886 + 10.1963i 0.0624111 + 0.579111i
\(311\) 16.2666 18.7726i 0.922393 1.06450i −0.0753369 0.997158i \(-0.524003\pi\)
0.997730 0.0673403i \(-0.0214513\pi\)
\(312\) 0.269413 0.493393i 0.0152525 0.0279329i
\(313\) 21.9391 + 8.18288i 1.24007 + 0.462524i 0.882035 0.471183i \(-0.156173\pi\)
0.358038 + 0.933707i \(0.383446\pi\)
\(314\) 19.6038 12.5986i 1.10631 0.710981i
\(315\) −5.73846 + 3.40677i −0.323325 + 0.191950i
\(316\) −0.519762 + 0.0747305i −0.0292389 + 0.00420392i
\(317\) 8.25277 + 22.1265i 0.463522 + 1.24275i 0.933023 + 0.359818i \(0.117161\pi\)
−0.469501 + 0.882932i \(0.655566\pi\)
\(318\) −8.49814 11.3522i −0.476552 0.636599i
\(319\) 18.9702 + 12.1914i 1.06213 + 0.682587i
\(320\) 1.63618 1.52412i 0.0914650 0.0852007i
\(321\) 6.29766i 0.351501i
\(322\) 5.39311 + 13.2582i 0.300546 + 0.738851i
\(323\) 31.5697 + 31.5697i 1.75659 + 1.75659i
\(324\) 0.755750 0.654861i 0.0419861 0.0363812i
\(325\) 0.793273 + 2.69652i 0.0440029 + 0.149576i
\(326\) −0.224741 + 1.56311i −0.0124473 + 0.0865727i
\(327\) 17.5785 6.55644i 0.972094 0.362572i
\(328\) −2.97559 + 3.97492i −0.164300 + 0.219478i
\(329\) −12.4572 3.65775i −0.686785 0.201658i
\(330\) 3.19529 + 4.59958i 0.175895 + 0.253198i
\(331\) −9.71322 21.2690i −0.533887 1.16905i −0.963909 0.266231i \(-0.914222\pi\)
0.430023 0.902818i \(-0.358506\pi\)
\(332\) 2.56800 + 1.40223i 0.140937 + 0.0769576i
\(333\) 0.307267 + 4.29615i 0.0168381 + 0.235428i
\(334\) 9.18840 + 7.96180i 0.502767 + 0.435650i
\(335\) −31.2273 15.6213i −1.70613 0.853481i
\(336\) −2.71479 + 1.23980i −0.148104 + 0.0676368i
\(337\) 22.2709 + 4.84473i 1.21317 + 0.263909i 0.773235 0.634120i \(-0.218637\pi\)
0.439937 + 0.898029i \(0.355001\pi\)
\(338\) −6.07878 11.1325i −0.330642 0.605526i
\(339\) 2.90234 + 20.1862i 0.157633 + 1.09636i
\(340\) 5.42468 + 13.0868i 0.294195 + 0.709734i
\(341\) −11.3702 1.63478i −0.615728 0.0885284i
\(342\) 1.49795 + 6.88597i 0.0810000 + 0.372351i
\(343\) 15.1607 + 1.08431i 0.818601 + 0.0585475i
\(344\) 0.516912 0.0278700
\(345\) 10.4646 + 2.34348i 0.563396 + 0.126169i
\(346\) −15.2086 −0.817617
\(347\) 12.7998 + 0.915459i 0.687129 + 0.0491444i 0.410538 0.911843i \(-0.365341\pi\)
0.276591 + 0.960988i \(0.410795\pi\)
\(348\) 1.91378 + 8.79752i 0.102590 + 0.471596i
\(349\) 7.61352 + 1.09466i 0.407542 + 0.0585958i 0.343038 0.939322i \(-0.388544\pi\)
0.0645047 + 0.997917i \(0.479453\pi\)
\(350\) 5.20769 13.9843i 0.278363 0.747491i
\(351\) 0.0800033 + 0.556435i 0.00427026 + 0.0297003i
\(352\) 1.20034 + 2.19827i 0.0639785 + 0.117168i
\(353\) 7.82457 + 1.70213i 0.416460 + 0.0905953i 0.415913 0.909405i \(-0.363462\pi\)
0.000547293 1.00000i \(0.499826\pi\)
\(354\) 4.43051 2.02335i 0.235479 0.107540i
\(355\) −21.8373 + 7.27437i −1.15900 + 0.386084i
\(356\) −7.85098 6.80292i −0.416101 0.360554i
\(357\) −1.34890 18.8601i −0.0713913 0.998181i
\(358\) −6.53586 3.56885i −0.345431 0.188620i
\(359\) 2.46715 + 5.40232i 0.130211 + 0.285123i 0.963497 0.267720i \(-0.0862701\pi\)
−0.833285 + 0.552843i \(0.813543\pi\)
\(360\) −0.396457 + 2.20064i −0.0208951 + 0.115984i
\(361\) −29.4185 8.63806i −1.54834 0.454635i
\(362\) −14.4048 + 19.2425i −0.757097 + 1.01136i
\(363\) 4.42878 1.65185i 0.232450 0.0866995i
\(364\) 0.238769 1.66068i 0.0125149 0.0870431i
\(365\) 5.83282 + 22.8283i 0.305304 + 1.19489i
\(366\) −2.27266 + 1.96927i −0.118794 + 0.102936i
\(367\) 15.4537 + 15.4537i 0.806677 + 0.806677i 0.984129 0.177452i \(-0.0567855\pi\)
−0.177452 + 0.984129i \(0.556785\pi\)
\(368\) 4.54068 + 1.54346i 0.236699 + 0.0804583i
\(369\) 4.96530i 0.258483i
\(370\) −6.56456 7.04721i −0.341275 0.366367i
\(371\) −35.6036 22.8810i −1.84844 1.18792i
\(372\) −2.74848 3.67154i −0.142502 0.190361i
\(373\) −5.86802 15.7328i −0.303834 0.814612i −0.995704 0.0925895i \(-0.970486\pi\)
0.691870 0.722022i \(-0.256787\pi\)
\(374\) −15.7066 + 2.25827i −0.812168 + 0.116772i
\(375\) −6.38347 9.17885i −0.329641 0.473994i
\(376\) −3.65960 + 2.35188i −0.188729 + 0.121289i
\(377\) −4.74214 1.76873i −0.244233 0.0910940i
\(378\) 1.43032 2.61943i 0.0735675 0.134729i
\(379\) 0.0661737 0.0763685i 0.00339911 0.00392279i −0.754047 0.656820i \(-0.771901\pi\)
0.757447 + 0.652897i \(0.226447\pi\)
\(380\) −12.2721 9.88427i −0.629544 0.507052i
\(381\) 4.99688 1.46722i 0.255998 0.0751677i
\(382\) −1.71308 + 4.59293i −0.0876485 + 0.234995i
\(383\) −1.97827 + 9.09396i −0.101085 + 0.464680i 0.898580 + 0.438809i \(0.144599\pi\)
−0.999665 + 0.0258708i \(0.991764\pi\)
\(384\) −0.281733 + 0.959493i −0.0143771 + 0.0489639i
\(385\) 13.7323 + 9.52928i 0.699863 + 0.485657i
\(386\) −5.41530 + 11.8579i −0.275632 + 0.603549i
\(387\) −0.413809 + 0.309774i −0.0210351 + 0.0157467i
\(388\) −5.24061 + 1.14002i −0.266051 + 0.0578760i
\(389\) 2.70268 + 3.11905i 0.137031 + 0.158142i 0.820117 0.572195i \(-0.193908\pi\)
−0.683086 + 0.730338i \(0.739363\pi\)
\(390\) −0.920227 0.856321i −0.0465975 0.0433615i
\(391\) −19.2152 + 23.5364i −0.971755 + 1.19029i
\(392\) −1.34860 + 1.34860i −0.0681143 + 0.0681143i
\(393\) 0.0504136 0.704874i 0.00254303 0.0355562i
\(394\) −10.9099 + 16.9762i −0.549634 + 0.855247i
\(395\) −0.125214 + 1.16748i −0.00630020 + 0.0587422i
\(396\) −2.27830 1.04046i −0.114489 0.0522852i
\(397\) −2.03297 1.52186i −0.102032 0.0763800i 0.547044 0.837104i \(-0.315753\pi\)
−0.649075 + 0.760724i \(0.724844\pi\)
\(398\) −4.93985 + 2.69736i −0.247612 + 0.135207i
\(399\) 11.3706 + 17.6931i 0.569244 + 0.885761i
\(400\) −2.39850 4.38717i −0.119925 0.219358i
\(401\) 2.17359 + 7.40258i 0.108544 + 0.369667i 0.995794 0.0916223i \(-0.0292052\pi\)
−0.887250 + 0.461289i \(0.847387\pi\)
\(402\) 15.5754 1.11397i 0.776830 0.0555600i
\(403\) 2.57167 0.183929i 0.128104 0.00916217i
\(404\) −0.0760359 0.258955i −0.00378293 0.0128835i
\(405\) −1.00142 1.99929i −0.0497607 0.0993456i
\(406\) 14.5271 + 22.6047i 0.720969 + 1.12185i
\(407\) 9.46821 5.17003i 0.469322 0.256269i
\(408\) −5.07183 3.79672i −0.251093 0.187966i
\(409\) 10.0553 + 4.59209i 0.497201 + 0.227064i 0.648201 0.761470i \(-0.275522\pi\)
−0.150999 + 0.988534i \(0.548249\pi\)
\(410\) 6.96884 + 8.64327i 0.344167 + 0.426861i
\(411\) 1.19133 1.85375i 0.0587642 0.0914389i
\(412\) 0.0948770 1.32655i 0.00467425 0.0653546i
\(413\) 10.2788 10.2788i 0.505788 0.505788i
\(414\) −4.55996 + 1.48552i −0.224110 + 0.0730095i
\(415\) 4.45695 4.78957i 0.218783 0.235111i
\(416\) −0.368135 0.424850i −0.0180493 0.0208300i
\(417\) −6.30508 + 1.37159i −0.308761 + 0.0671669i
\(418\) 14.1297 10.5774i 0.691107 0.517357i
\(419\) −1.79476 + 3.92998i −0.0876799 + 0.191992i −0.948392 0.317099i \(-0.897291\pi\)
0.860712 + 0.509091i \(0.170018\pi\)
\(420\) 1.18659 + 6.56719i 0.0578997 + 0.320446i
\(421\) −1.97497 + 6.72611i −0.0962539 + 0.327811i −0.993517 0.113686i \(-0.963734\pi\)
0.897263 + 0.441497i \(0.145552\pi\)
\(422\) −1.76936 + 8.13362i −0.0861311 + 0.395938i
\(423\) 1.52023 4.07589i 0.0739161 0.198177i
\(424\) −13.6062 + 3.99515i −0.660777 + 0.194022i
\(425\) 31.3527 4.52426i 1.52083 0.219459i
\(426\) 6.74083 7.77933i 0.326594 0.376910i
\(427\) −4.30119 + 7.87705i −0.208149 + 0.381197i
\(428\) −5.90059 2.20081i −0.285216 0.106380i
\(429\) 1.18448 0.761221i 0.0571874 0.0367521i
\(430\) 0.285562 1.12002i 0.0137710 0.0540121i
\(431\) 28.4223 4.08651i 1.36905 0.196840i 0.581732 0.813381i \(-0.302375\pi\)
0.787323 + 0.616540i \(0.211466\pi\)
\(432\) −0.349464 0.936950i −0.0168136 0.0450790i
\(433\) −11.6987 15.6276i −0.562203 0.751016i 0.425906 0.904767i \(-0.359955\pi\)
−0.988110 + 0.153752i \(0.950864\pi\)
\(434\) −11.5150 7.40022i −0.552736 0.355222i
\(435\) 20.1193 + 0.713395i 0.964646 + 0.0342047i
\(436\) 18.7614i 0.898509i
\(437\) 6.21224 33.2205i 0.297172 1.58915i
\(438\) −7.45086 7.45086i −0.356016 0.356016i
\(439\) −19.6822 + 17.0548i −0.939382 + 0.813979i −0.982723 0.185082i \(-0.940745\pi\)
0.0433416 + 0.999060i \(0.486200\pi\)
\(440\) 5.42621 1.38644i 0.258684 0.0660960i
\(441\) 0.271423 1.88779i 0.0129249 0.0898947i
\(442\) 3.33699 1.24463i 0.158724 0.0592011i
\(443\) −0.197115 + 0.263314i −0.00936519 + 0.0125104i −0.805199 0.593004i \(-0.797942\pi\)
0.795834 + 0.605515i \(0.207033\pi\)
\(444\) 4.13266 + 1.21346i 0.196127 + 0.0575882i
\(445\) −19.0774 + 13.2529i −0.904356 + 0.628249i
\(446\) −4.37141 9.57205i −0.206992 0.453250i
\(447\) 11.1824 + 6.10607i 0.528911 + 0.288807i
\(448\) 0.212911 + 2.97689i 0.0100591 + 0.140645i
\(449\) 8.86767 + 7.68388i 0.418491 + 0.362625i 0.838506 0.544893i \(-0.183430\pi\)
−0.420015 + 0.907517i \(0.637975\pi\)
\(450\) 4.54922 + 2.07474i 0.214453 + 0.0978043i
\(451\) −11.3124 + 5.16621i −0.532681 + 0.243267i
\(452\) 19.9277 + 4.33501i 0.937320 + 0.203902i
\(453\) −1.62822 2.98186i −0.0765004 0.140100i
\(454\) 2.62912 + 18.2859i 0.123391 + 0.858202i
\(455\) −3.46637 1.43478i −0.162506 0.0672633i
\(456\) 6.97529 + 1.00290i 0.326648 + 0.0469649i
\(457\) 4.15030 + 19.0786i 0.194143 + 0.892461i 0.966378 + 0.257124i \(0.0827750\pi\)
−0.772235 + 0.635337i \(0.780861\pi\)
\(458\) 2.94100 + 0.210344i 0.137424 + 0.00982875i
\(459\) 6.33550 0.295716
\(460\) 5.85273 8.98585i 0.272885 0.418967i
\(461\) 18.2925 0.851966 0.425983 0.904731i \(-0.359928\pi\)
0.425983 + 0.904731i \(0.359928\pi\)
\(462\) −7.45602 0.533265i −0.346886 0.0248097i
\(463\) −0.734162 3.37489i −0.0341194 0.156844i 0.956935 0.290302i \(-0.0937557\pi\)
−0.991055 + 0.133457i \(0.957392\pi\)
\(464\) 8.91163 + 1.28130i 0.413712 + 0.0594828i
\(465\) −9.47369 + 3.92698i −0.439332 + 0.182109i
\(466\) 3.01219 + 20.9502i 0.139537 + 0.970500i
\(467\) −4.78928 8.77091i −0.221621 0.405869i 0.743085 0.669197i \(-0.233362\pi\)
−0.964706 + 0.263328i \(0.915180\pi\)
\(468\) 0.549310 + 0.119495i 0.0253919 + 0.00552366i
\(469\) 42.3919 19.3598i 1.95748 0.893950i
\(470\) 3.07424 + 9.22871i 0.141804 + 0.425688i
\(471\) 17.6113 + 15.2603i 0.811487 + 0.703158i
\(472\) −0.347469 4.85825i −0.0159936 0.223619i
\(473\) 1.13631 + 0.620472i 0.0522476 + 0.0285293i
\(474\) −0.218137 0.477654i −0.0100194 0.0219394i
\(475\) −28.1963 + 21.1301i −1.29374 + 0.969514i
\(476\) −18.1423 5.32707i −0.831552 0.244166i
\(477\) 8.49814 11.3522i 0.389103 0.519781i
\(478\) −26.6729 + 9.94847i −1.21999 + 0.455033i
\(479\) 4.04200 28.1127i 0.184684 1.28450i −0.660825 0.750540i \(-0.729793\pi\)
0.845508 0.533962i \(-0.179298\pi\)
\(480\) 1.92334 + 1.14051i 0.0877882 + 0.0520567i
\(481\) −1.82988 + 1.58560i −0.0834355 + 0.0722972i
\(482\) 2.88513 + 2.88513i 0.131414 + 0.131414i
\(483\) −11.2017 + 8.90992i −0.509697 + 0.405415i
\(484\) 4.72680i 0.214855i
\(485\) −0.424963 + 11.9849i −0.0192966 + 0.544206i
\(486\) 0.841254 + 0.540641i 0.0381600 + 0.0245240i
\(487\) 3.36129 + 4.49016i 0.152315 + 0.203468i 0.870208 0.492685i \(-0.163984\pi\)
−0.717893 + 0.696153i \(0.754893\pi\)
\(488\) 1.05090 + 2.81756i 0.0475718 + 0.127545i
\(489\) −1.56311 + 0.224741i −0.0706863 + 0.0101632i
\(490\) 2.17705 + 3.66709i 0.0983493 + 0.165662i
\(491\) 15.6329 10.0466i 0.705501 0.453398i −0.138065 0.990423i \(-0.544088\pi\)
0.843566 + 0.537025i \(0.180452\pi\)
\(492\) −4.65223 1.73519i −0.209739 0.0782285i
\(493\) −27.3364 + 50.0630i −1.23117 + 2.25472i
\(494\) −2.59425 + 2.99393i −0.116721 + 0.134703i
\(495\) −3.51304 + 4.36171i −0.157900 + 0.196044i
\(496\) −4.40055 + 1.29212i −0.197590 + 0.0580178i
\(497\) 10.7359 28.7840i 0.481570 1.29114i
\(498\) −0.621945 + 2.85903i −0.0278700 + 0.128116i
\(499\) −0.922745 + 3.14258i −0.0413077 + 0.140681i −0.977565 0.210634i \(-0.932447\pi\)
0.936257 + 0.351315i \(0.114265\pi\)
\(500\) −10.8309 + 2.77331i −0.484373 + 0.124026i
\(501\) −5.05062 + 11.0593i −0.225645 + 0.494093i
\(502\) 11.2218 8.40052i 0.500853 0.374934i
\(503\) 23.7696 5.17075i 1.05983 0.230552i 0.351323 0.936254i \(-0.385732\pi\)
0.708509 + 0.705702i \(0.249368\pi\)
\(504\) −1.95443 2.25553i −0.0870571 0.100469i
\(505\) −0.603095 + 0.0216945i −0.0268374 + 0.000965393i
\(506\) 8.12893 + 8.84330i 0.361375 + 0.393133i
\(507\) 8.96893 8.96893i 0.398324 0.398324i
\(508\) 0.371522 5.19456i 0.0164836 0.230471i
\(509\) −13.4724 + 20.9635i −0.597153 + 0.929189i 0.402750 + 0.915310i \(0.368054\pi\)
−0.999904 + 0.0138789i \(0.995582\pi\)
\(510\) −11.0284 + 8.89193i −0.488347 + 0.393741i
\(511\) −28.6061 13.0639i −1.26546 0.577915i
\(512\) 0.800541 + 0.599278i 0.0353793 + 0.0264846i
\(513\) −6.18502 + 3.37728i −0.273075 + 0.149110i
\(514\) 10.2612 + 15.9668i 0.452604 + 0.704265i
\(515\) −2.82190 0.938414i −0.124348 0.0413515i
\(516\) 0.145631 + 0.495973i 0.00641104 + 0.0218340i
\(517\) −10.8678 + 0.777283i −0.477967 + 0.0341849i
\(518\) 12.8218 0.917036i 0.563359 0.0402923i
\(519\) −4.28474 14.5925i −0.188079 0.640540i
\(520\) −1.12392 + 0.562953i −0.0492870 + 0.0246871i
\(521\) 14.7268 + 22.9153i 0.645191 + 1.00394i 0.997677 + 0.0681199i \(0.0217000\pi\)
−0.352486 + 0.935817i \(0.614664\pi\)
\(522\) −7.90198 + 4.31481i −0.345860 + 0.188854i
\(523\) 9.75017 + 7.29888i 0.426345 + 0.319158i 0.790813 0.612058i \(-0.209658\pi\)
−0.364468 + 0.931216i \(0.618749\pi\)
\(524\) −0.642814 0.293563i −0.0280814 0.0128244i
\(525\) 14.8850 + 1.05692i 0.649634 + 0.0461278i
\(526\) 16.5968 25.8251i 0.723654 1.12603i
\(527\) 2.07288 28.9826i 0.0902960 1.26250i
\(528\) −1.77104 + 1.77104i −0.0770748 + 0.0770748i
\(529\) 22.9187 + 1.93274i 0.996463 + 0.0840321i
\(530\) 1.13989 + 31.6884i 0.0495138 + 1.37646i
\(531\) 3.18960 + 3.68100i 0.138417 + 0.159742i
\(532\) 20.5511 4.47063i 0.891005 0.193826i
\(533\) 2.23453 1.67275i 0.0967883 0.0724548i
\(534\) 4.31547 9.44957i 0.186749 0.408923i
\(535\) −8.02832 + 11.5693i −0.347094 + 0.500185i
\(536\) 4.39930 14.9827i 0.190021 0.647152i
\(537\) 1.58292 7.27657i 0.0683081 0.314007i
\(538\) −7.39830 + 19.8356i −0.318963 + 0.855174i
\(539\) −4.58335 + 1.34579i −0.197419 + 0.0579674i
\(540\) −2.22319 + 0.239595i −0.0956711 + 0.0103105i
\(541\) 17.9514 20.7170i 0.771791 0.890694i −0.224697 0.974429i \(-0.572139\pi\)
0.996488 + 0.0837346i \(0.0266848\pi\)
\(542\) −4.79448 + 8.78044i −0.205941 + 0.377152i
\(543\) −22.5213 8.40002i −0.966483 0.360480i
\(544\) −5.32976 + 3.42523i −0.228511 + 0.146855i
\(545\) −40.6513 10.3645i −1.74131 0.443968i
\(546\) 1.66068 0.238769i 0.0710704 0.0102184i
\(547\) 8.30725 + 22.2726i 0.355192 + 0.952307i 0.984536 + 0.175181i \(0.0560509\pi\)
−0.629344 + 0.777127i \(0.716676\pi\)
\(548\) −1.32054 1.76404i −0.0564109 0.0753561i
\(549\) −2.52979 1.62580i −0.107969 0.0693873i
\(550\) −0.00642448 12.5232i −0.000273941 0.533990i
\(551\) 63.4462i 2.70290i
\(552\) −0.201680 + 4.79159i −0.00858408 + 0.203944i
\(553\) −1.10816 1.10816i −0.0471238 0.0471238i
\(554\) −1.40598 + 1.21829i −0.0597345 + 0.0517602i
\(555\) 4.91230 8.28408i 0.208516 0.351640i
\(556\) −0.918293 + 6.38687i −0.0389443 + 0.270864i
\(557\) −11.8788 + 4.43056i −0.503320 + 0.187729i −0.588283 0.808655i \(-0.700196\pi\)
0.0849623 + 0.996384i \(0.472923\pi\)
\(558\) 2.74848 3.67154i 0.116353 0.155429i
\(559\) −0.278815 0.0818674i −0.0117926 0.00346262i
\(560\) 6.56780 + 1.18322i 0.277540 + 0.0500003i
\(561\) −6.59185 14.4341i −0.278308 0.609410i
\(562\) 7.51506 + 4.10353i 0.317004 + 0.173097i
\(563\) −0.0690051 0.964818i −0.00290822 0.0406622i 0.995791 0.0916555i \(-0.0292158\pi\)
−0.998699 + 0.0509933i \(0.983761\pi\)
\(564\) −3.28764 2.84876i −0.138435 0.119954i
\(565\) 20.4017 40.7836i 0.858306 1.71578i
\(566\) 20.5025 9.36318i 0.861784 0.393564i
\(567\) 2.91629 + 0.634400i 0.122473 + 0.0266423i
\(568\) −4.93317 9.03442i −0.206991 0.379076i
\(569\) −2.15974 15.0213i −0.0905410 0.629726i −0.983677 0.179941i \(-0.942409\pi\)
0.893136 0.449786i \(-0.148500\pi\)
\(570\) 6.02644 14.5597i 0.252420 0.609838i
\(571\) 24.3183 + 3.49644i 1.01769 + 0.146322i 0.630914 0.775853i \(-0.282680\pi\)
0.386775 + 0.922174i \(0.373589\pi\)
\(572\) −0.299292 1.37582i −0.0125140 0.0575260i
\(573\) −4.88951 0.349705i −0.204262 0.0146091i
\(574\) −14.8189 −0.618529
\(575\) −16.2368 17.6455i −0.677123 0.735870i
\(576\) −1.00000 −0.0416667
\(577\) −19.3832 1.38631i −0.806934 0.0577130i −0.338224 0.941065i \(-0.609826\pi\)
−0.468709 + 0.883352i \(0.655281\pi\)
\(578\) −4.91844 22.6097i −0.204580 0.940440i
\(579\) −12.9032 1.85520i −0.536239 0.0770995i
\(580\) 7.69938 18.6014i 0.319699 0.772383i
\(581\) 1.24274 + 8.64344i 0.0515575 + 0.358591i
\(582\) −2.57029 4.70714i −0.106542 0.195117i
\(583\) −34.7057 7.54975i −1.43736 0.312679i
\(584\) −9.58490 + 4.37728i −0.396626 + 0.181133i
\(585\) 0.562376 1.12420i 0.0232514 0.0464801i
\(586\) −16.4496 14.2536i −0.679525 0.588812i
\(587\) 1.63130 + 22.8085i 0.0673308 + 0.941408i 0.913068 + 0.407808i \(0.133707\pi\)
−0.845737 + 0.533600i \(0.820839\pi\)
\(588\) −1.67391 0.914024i −0.0690309 0.0376937i
\(589\) 13.4262 + 29.3992i 0.553216 + 1.21137i
\(590\) −10.7186 1.93101i −0.441277 0.0794982i
\(591\) −19.3622 5.68525i −0.796454 0.233860i
\(592\) 2.58117 3.44803i 0.106085 0.141713i
\(593\) −17.4713 + 6.51645i −0.717459 + 0.267598i −0.681565 0.731757i \(-0.738700\pi\)
−0.0358936 + 0.999356i \(0.511428\pi\)
\(594\) 0.356447 2.47914i 0.0146252 0.101720i
\(595\) −21.5650 + 36.3670i −0.884077 + 1.49090i
\(596\) 9.62894 8.34352i 0.394417 0.341764i
\(597\) −3.97982 3.97982i −0.162883 0.162883i
\(598\) −2.20473 1.55166i −0.0901580 0.0634522i
\(599\) 32.1140i 1.31214i −0.754699 0.656072i \(-0.772217\pi\)
0.754699 0.656072i \(-0.227783\pi\)
\(600\) 3.53372 3.53735i 0.144264 0.144412i
\(601\) −13.7684 8.84844i −0.561627 0.360935i 0.228818 0.973469i \(-0.426514\pi\)
−0.790444 + 0.612534i \(0.790150\pi\)
\(602\) 0.924518 + 1.23501i 0.0376805 + 0.0503353i
\(603\) 5.45695 + 14.6306i 0.222224 + 0.595806i
\(604\) −3.36286 + 0.483506i −0.136833 + 0.0196736i
\(605\) −10.2418 2.61127i −0.416389 0.106163i
\(606\) 0.227043 0.145912i 0.00922300 0.00592726i
\(607\) −16.0318 5.97957i −0.650713 0.242703i 0.00236158 0.999997i \(-0.499248\pi\)
−0.653074 + 0.757294i \(0.726521\pi\)
\(608\) 3.37728 6.18502i 0.136967 0.250836i
\(609\) −17.5962 + 20.3071i −0.713036 + 0.822887i
\(610\) 6.68551 0.720502i 0.270688 0.0291723i
\(611\) 2.34642 0.688971i 0.0949260 0.0278728i
\(612\) 2.21403 5.93604i 0.0894968 0.239950i
\(613\) −7.57271 + 34.8112i −0.305859 + 1.40601i 0.525745 + 0.850642i \(0.323786\pi\)
−0.831604 + 0.555369i \(0.812577\pi\)
\(614\) 2.67125 9.09745i 0.107803 0.367143i
\(615\) −6.32980 + 9.12164i −0.255242 + 0.367820i
\(616\) −3.10526 + 6.79956i −0.125114 + 0.273962i
\(617\) −31.7943 + 23.8009i −1.27999 + 0.958188i −0.999998 0.00181517i \(-0.999422\pi\)
−0.279990 + 0.960003i \(0.590331\pi\)
\(618\) 1.29955 0.282700i 0.0522755 0.0113718i
\(619\) −17.1180 19.7553i −0.688032 0.794031i 0.299052 0.954237i \(-0.403330\pi\)
−0.987084 + 0.160206i \(0.948784\pi\)
\(620\) 0.368666 + 10.2487i 0.0148060 + 0.411598i
\(621\) −2.71004 3.95673i −0.108750 0.158778i
\(622\) 17.5644 17.5644i 0.704267 0.704267i
\(623\) 2.21180 30.9249i 0.0886137 1.23898i
\(624\) 0.303925 0.472917i 0.0121667 0.0189318i
\(625\) 0.0256504 + 25.0000i 0.00102601 + 0.999999i
\(626\) 21.2995 + 9.72715i 0.851299 + 0.388775i
\(627\) 14.1297 + 10.5774i 0.564287 + 0.422420i
\(628\) 20.4527 11.1680i 0.816150 0.445652i
\(629\) 14.7529 + 22.9559i 0.588236 + 0.915313i
\(630\) −5.96687 + 2.98872i −0.237726 + 0.119073i
\(631\) −4.20137 14.3086i −0.167254 0.569615i −0.999876 0.0157725i \(-0.994979\pi\)
0.832622 0.553842i \(-0.186839\pi\)
\(632\) −0.523769 + 0.0374607i −0.0208344 + 0.00149011i
\(633\) −8.30263 + 0.593816i −0.330000 + 0.0236021i
\(634\) 6.65325 + 22.6589i 0.264234 + 0.899900i
\(635\) −11.0501 3.67467i −0.438509 0.145825i
\(636\) −7.66663 11.9295i −0.304002 0.473036i
\(637\) 0.941001 0.513825i 0.0372838 0.0203585i
\(638\) 18.0521 + 13.5137i 0.714691 + 0.535011i
\(639\) 9.36333 + 4.27609i 0.370408 + 0.169159i
\(640\) 1.74074 1.40351i 0.0688086 0.0554786i
\(641\) −6.33013 + 9.84987i −0.250025 + 0.389046i −0.943467 0.331466i \(-0.892457\pi\)
0.693442 + 0.720512i \(0.256093\pi\)
\(642\) 0.449270 6.28162i 0.0177313 0.247916i
\(643\) −23.7953 + 23.7953i −0.938394 + 0.938394i −0.998209 0.0598151i \(-0.980949\pi\)
0.0598151 + 0.998209i \(0.480949\pi\)
\(644\) 4.43354 + 13.6092i 0.174706 + 0.536276i
\(645\) 1.15510 0.0415513i 0.0454821 0.00163608i
\(646\) 29.2371 + 33.7415i 1.15032 + 1.32754i
\(647\) −34.3387 + 7.46993i −1.34999 + 0.293673i −0.828695 0.559700i \(-0.810916\pi\)
−0.521300 + 0.853374i \(0.674553\pi\)
\(648\) 0.800541 0.599278i 0.0314482 0.0235419i
\(649\) 5.06774 11.0968i 0.198926 0.435588i
\(650\) 0.598884 + 2.74624i 0.0234902 + 0.107717i
\(651\) 3.85632 13.1334i 0.151141 0.514739i
\(652\) −0.335680 + 1.54310i −0.0131462 + 0.0604323i
\(653\) −13.5064 + 36.2120i −0.528545 + 1.41708i 0.348788 + 0.937202i \(0.386593\pi\)
−0.877333 + 0.479882i \(0.840679\pi\)
\(654\) 18.0015 5.28570i 0.703912 0.206687i
\(655\) −0.991193 + 1.23064i −0.0387291 + 0.0480851i
\(656\) −3.25158 + 3.75252i −0.126953 + 0.146511i
\(657\) 5.04990 9.24820i 0.197015 0.360807i
\(658\) −12.1645 4.53711i −0.474221 0.176875i
\(659\) 40.9327 26.3058i 1.59451 1.02473i 0.624701 0.780864i \(-0.285221\pi\)
0.969809 0.243866i \(-0.0784155\pi\)
\(660\) 2.85902 + 4.81581i 0.111287 + 0.187455i
\(661\) −32.1731 + 4.62580i −1.25139 + 0.179923i −0.735969 0.677015i \(-0.763273\pi\)
−0.515420 + 0.856938i \(0.672364\pi\)
\(662\) −8.17116 21.9077i −0.317581 0.851468i
\(663\) 2.13435 + 2.85116i 0.0828914 + 0.110730i
\(664\) 2.46142 + 1.58186i 0.0955217 + 0.0613881i
\(665\) 1.66650 46.9990i 0.0646242 1.82254i
\(666\) 4.30713i 0.166898i
\(667\) 42.9593 4.34216i 1.66339 0.168129i
\(668\) 8.59700 + 8.59700i 0.332628 + 0.332628i
\(669\) 7.95275 6.89109i 0.307471 0.266425i
\(670\) −30.0333 17.8092i −1.16029 0.688029i
\(671\) −1.07189 + 7.45519i −0.0413800 + 0.287804i
\(672\) −2.79632 + 1.04297i −0.107870 + 0.0402336i
\(673\) 14.6978 19.6339i 0.566557 0.756831i −0.422177 0.906513i \(-0.638734\pi\)
0.988734 + 0.149682i \(0.0478250\pi\)
\(674\) 21.8685 + 6.42117i 0.842343 + 0.247334i
\(675\) −0.709035 + 4.94947i −0.0272908 + 0.190505i
\(676\) −5.26912 11.5378i −0.202658 0.443760i
\(677\) −41.7690 22.8076i −1.60531 0.876566i −0.996531 0.0832281i \(-0.973477\pi\)
−0.608781 0.793338i \(-0.708341\pi\)
\(678\) 1.45487 + 20.3418i 0.0558741 + 0.781222i
\(679\) −12.0968 10.4819i −0.464232 0.402260i
\(680\) 4.47725 + 13.4405i 0.171695 + 0.515419i
\(681\) −16.8045 + 7.67437i −0.643951 + 0.294082i
\(682\) −11.2246 2.44175i −0.429811 0.0934996i
\(683\) −14.9361 27.3534i −0.571514 1.04665i −0.990350 0.138588i \(-0.955744\pi\)
0.418836 0.908062i \(-0.362438\pi\)
\(684\) 1.00290 + 6.97529i 0.0383467 + 0.266707i
\(685\) −4.55176 + 1.88677i −0.173914 + 0.0720897i
\(686\) 15.0447 + 2.16310i 0.574410 + 0.0825877i
\(687\) 0.626751 + 2.88113i 0.0239120 + 0.109922i
\(688\) 0.515595 + 0.0368761i 0.0196569 + 0.00140589i
\(689\) 7.97175 0.303699
\(690\) 10.2708 + 3.08405i 0.391001 + 0.117408i
\(691\) 30.6797 1.16711 0.583556 0.812073i \(-0.301661\pi\)
0.583556 + 0.812073i \(0.301661\pi\)
\(692\) −15.1698 1.08497i −0.576669 0.0412442i
\(693\) −1.58894 7.30424i −0.0603588 0.277465i
\(694\) 12.7019 + 1.82625i 0.482157 + 0.0693237i
\(695\) 13.3315 + 5.51806i 0.505691 + 0.209312i
\(696\) 1.28130 + 8.91163i 0.0485675 + 0.337794i
\(697\) −15.0760 27.6097i −0.571045 1.04579i
\(698\) 7.51603 + 1.63501i 0.284486 + 0.0618861i
\(699\) −19.2529 + 8.79253i −0.728213 + 0.332564i
\(700\) 6.19205 13.5771i 0.234038 0.513167i
\(701\) 0.528675 + 0.458100i 0.0199678 + 0.0173022i 0.664787 0.747033i \(-0.268522\pi\)
−0.644820 + 0.764335i \(0.723068\pi\)
\(702\) 0.0401038 + 0.560725i 0.00151362 + 0.0211632i
\(703\) −26.6397 14.5464i −1.00473 0.548626i
\(704\) 1.04046 + 2.27830i 0.0392139 + 0.0858665i
\(705\) −7.98877 + 5.54974i −0.300874 + 0.209015i
\(706\) 7.68321 + 2.25599i 0.289161 + 0.0849055i
\(707\) 0.482704 0.644817i 0.0181539 0.0242508i
\(708\) 4.56356 1.70212i 0.171509 0.0639696i
\(709\) −4.44269 + 30.8996i −0.166849 + 1.16046i 0.718499 + 0.695528i \(0.244830\pi\)
−0.885347 + 0.464930i \(0.846079\pi\)
\(710\) −22.3006 + 5.69798i −0.836927 + 0.213842i
\(711\) 0.396849 0.343872i 0.0148830 0.0128962i
\(712\) −7.34567 7.34567i −0.275290 0.275290i
\(713\) −18.9873 + 11.1029i −0.711079 + 0.415806i
\(714\) 18.9082i 0.707623i
\(715\) −3.14640 0.111566i −0.117669 0.00417233i
\(716\) −6.26461 4.02602i −0.234119 0.150459i
\(717\) −17.0601 22.7896i −0.637122 0.851095i
\(718\) 2.07547 + 5.56456i 0.0774559 + 0.207667i
\(719\) 19.9233 2.86454i 0.743015 0.106829i 0.239597 0.970872i \(-0.422985\pi\)
0.503418 + 0.864043i \(0.332076\pi\)
\(720\) −0.552438 + 2.16675i −0.0205882 + 0.0807501i
\(721\) 3.33911 2.14591i 0.124355 0.0799180i
\(722\) −28.7273 10.7147i −1.06912 0.398761i
\(723\) −1.95542 + 3.58109i −0.0727230 + 0.133182i
\(724\) −15.7408 + 18.1659i −0.585002 + 0.675129i
\(725\) −36.0513 26.9588i −1.33891 1.00122i
\(726\) 4.53533 1.33169i 0.168322 0.0494238i
\(727\) 10.8634 29.1260i 0.402902 1.08022i −0.564156 0.825668i \(-0.690798\pi\)
0.967058 0.254555i \(-0.0819289\pi\)
\(728\) 0.356632 1.63941i 0.0132177 0.0607607i
\(729\) −0.281733 + 0.959493i −0.0104345 + 0.0355368i
\(730\) 4.18940 + 23.1863i 0.155057 + 0.858162i
\(731\) −1.36044 + 2.97895i −0.0503177 + 0.110180i
\(732\) −2.40736 + 1.80213i −0.0889785 + 0.0666085i
\(733\) −30.0254 + 6.53163i −1.10901 + 0.241251i −0.729532 0.683947i \(-0.760262\pi\)
−0.379483 + 0.925199i \(0.623898\pi\)
\(734\) 14.3119 + 16.5168i 0.528261 + 0.609646i
\(735\) −2.90520 + 3.12201i −0.107160 + 0.115157i
\(736\) 4.41900 + 1.86345i 0.162886 + 0.0686878i
\(737\) 27.6552 27.6552i 1.01869 1.01869i
\(738\) 0.354220 4.95265i 0.0130390 0.182309i
\(739\) −8.74185 + 13.6026i −0.321574 + 0.500379i −0.963976 0.265989i \(-0.914302\pi\)
0.642402 + 0.766368i \(0.277938\pi\)
\(740\) −6.04510 7.49757i −0.222222 0.275616i
\(741\) −3.60354 1.64568i −0.132379 0.0604556i
\(742\) −33.8805 25.3627i −1.24379 0.931092i
\(743\) 16.5263 9.02406i 0.606293 0.331061i −0.146608 0.989195i \(-0.546836\pi\)
0.752901 + 0.658134i \(0.228654\pi\)
\(744\) −2.47955 3.85826i −0.0909049 0.141451i
\(745\) −12.7589 25.4728i −0.467451 0.933251i
\(746\) −4.73070 16.1113i −0.173203 0.589877i
\(747\) −2.91844 + 0.208731i −0.106780 + 0.00763708i
\(748\) −15.8277 + 1.13202i −0.578717 + 0.0413907i
\(749\) −5.29526 18.0340i −0.193484 0.658948i
\(750\) −5.71239 9.61086i −0.208587 0.350939i
\(751\) −1.10765 1.72354i −0.0404188 0.0628930i 0.820456 0.571709i \(-0.193720\pi\)
−0.860875 + 0.508816i \(0.830083\pi\)
\(752\) −3.81805 + 2.08482i −0.139230 + 0.0760254i
\(753\) 11.2218 + 8.40052i 0.408944 + 0.306132i
\(754\) −4.60388 2.10252i −0.167663 0.0765693i
\(755\) −0.810134 + 7.55358i −0.0294838 + 0.274903i
\(756\) 1.61354 2.51072i 0.0586838 0.0913138i
\(757\) 3.56413 49.8330i 0.129540 1.81121i −0.353309 0.935507i \(-0.614943\pi\)
0.482849 0.875704i \(-0.339602\pi\)
\(758\) 0.0714531 0.0714531i 0.00259529 0.00259529i
\(759\) −6.19490 + 10.2911i −0.224861 + 0.373543i
\(760\) −11.5357 10.7346i −0.418443 0.389384i
\(761\) 27.9059 + 32.2052i 1.01159 + 1.16744i 0.985826 + 0.167769i \(0.0536561\pi\)
0.0257632 + 0.999668i \(0.491798\pi\)
\(762\) 5.08882 1.10700i 0.184348 0.0401025i
\(763\) 44.8250 33.5556i 1.62277 1.21479i
\(764\) −2.03637 + 4.45902i −0.0736731 + 0.161322i
\(765\) −11.6388 8.07655i −0.420802 0.292008i
\(766\) −2.62198 + 8.92966i −0.0947362 + 0.322642i
\(767\) −0.582020 + 2.67550i −0.0210155 + 0.0966068i
\(768\) −0.349464 + 0.936950i −0.0126102 + 0.0338093i
\(769\) 6.11550 1.79567i 0.220531 0.0647537i −0.169601 0.985513i \(-0.554248\pi\)
0.390131 + 0.920759i \(0.372430\pi\)
\(770\) 13.0175 + 10.4847i 0.469118 + 0.377841i
\(771\) −12.4291 + 14.3439i −0.447623 + 0.516585i
\(772\) −6.24743 + 11.4413i −0.224850 + 0.411782i
\(773\) 8.81084 + 3.28627i 0.316904 + 0.118199i