Properties

Label 690.2.w.b.7.10
Level $690$
Weight $2$
Character 690.7
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 7.10
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.10

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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 −0.454451 0.890772i \(-0.650165\pi\)
0.995060 0.0992788i \(-0.0316536\pi\)
\(8\) 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 −0.321022 0.947072i \(-0.604026\pi\)
0.891746 + 0.452537i \(0.149481\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) −0.493393 + 0.269413i −0.136843 + 0.0747218i −0.546212 0.837647i \(-0.683931\pi\)
0.409369 + 0.912369i \(0.365749\pi\)
\(14\) 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 −0.972846 0.231452i \(-0.925653\pi\)
0.0520064 0.998647i \(-0.483438\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) 1.00290 + 6.97529i 0.230080 + 1.60024i 0.697752 + 0.716339i \(0.254184\pi\)
−0.467672 + 0.883902i \(0.654907\pi\)
\(20\) 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 0.905531 0.424280i \(-0.139473\pi\)
0.749317 + 0.662211i \(0.230382\pi\)
\(30\) 2.16675 0.552438i 0.395593 0.100861i
\(31\) −3.85826 2.47955i −0.692964 0.445341i 0.146174 0.989259i \(-0.453304\pi\)
−0.839139 + 0.543918i \(0.816940\pi\)
\(32\) 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 0.999988 + 0.00489211i \(0.00155721\pi\)
−0.752537 + 0.658550i \(0.771170\pi\)
\(38\) 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 0.677410 0.735606i \(-0.263102\pi\)
−0.999543 + 0.0302327i \(0.990375\pi\)
\(42\) −2.38921 1.78854i −0.368663 0.275978i
\(43\) 0.505099 + 0.109878i 0.0770268 + 0.0167562i 0.250914 0.968010i \(-0.419269\pi\)
−0.173887 + 0.984766i \(0.555633\pi\)
\(44\) 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 0.446232 0.894918i \(-0.352766\pi\)
−0.894918 + 0.446232i \(0.852766\pi\)
\(48\) −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 −0.963514 0.267657i \(-0.913751\pi\)
−0.746083 0.665853i \(-0.768068\pi\)
\(54\) −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 0.820666 + 0.571408i \(0.193602\pi\)
−0.999315 + 0.0370128i \(0.988216\pi\)
\(60\) 2.12182 0.705605i 0.273926 0.0910932i
\(61\) 1.62580 2.52979i 0.208162 0.323906i −0.721436 0.692481i \(-0.756518\pi\)
0.929598 + 0.368575i \(0.120154\pi\)
\(62\) −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 0.367569 + 0.929996i \(0.380190\pi\)
−0.231475 + 0.972841i \(0.574355\pi\)
\(68\) −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 −0.998381 0.0568859i \(-0.981883\pi\)
0.198391 + 0.980123i \(0.436428\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) −8.43539 6.31466i −0.987288 0.739075i −0.0218646 0.999761i \(-0.506960\pi\)
−0.965424 + 0.260686i \(0.916051\pi\)
\(74\) 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 0.253267 0.967397i \(-0.418495\pi\)
−0.309953 + 0.950752i \(0.600313\pi\)
\(80\) 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 −0.194474 0.980908i \(-0.562300\pi\)
0.495384 + 0.868674i \(0.335027\pi\)
\(84\) −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 −0.914495 0.404597i \(-0.867412\pi\)
−0.0118610 + 0.999930i \(0.503776\pi\)
\(90\) −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 0.0811545 0.996702i \(-0.474139\pi\)
−0.591368 + 0.806402i \(0.701412\pi\)
\(98\) −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 −0.915128 0.403164i \(-0.867911\pi\)
0.903972 + 0.427592i \(0.140638\pi\)
\(102\) −5.56053 + 3.03628i −0.550575 + 0.300636i
\(103\) −0.0948770 + 1.32655i −0.00934851 + 0.130709i −0.999983 0.00583128i \(-0.998144\pi\)
0.990634 + 0.136540i \(0.0435984\pi\)
\(104\) −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 −0.499930 0.866066i \(-0.666641\pi\)
−0.0949750 + 0.995480i \(0.530277\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) −2.67003 + 18.5705i −0.255742 + 1.77873i 0.306616 + 0.951833i \(0.400803\pi\)
−0.562358 + 0.826894i \(0.690106\pi\)
\(110\) 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 0.936638 0.350298i \(-0.113920\pi\)
0.976957 + 0.213435i \(0.0684650\pi\)
\(114\) 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 0.953977 + 0.299880i \(0.0969467\pi\)
−0.986944 + 0.161063i \(0.948508\pi\)
\(128\) 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 −0.311219 0.950338i \(-0.600737\pi\)
0.251978 + 0.967733i \(0.418919\pi\)
\(132\) −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 −0.770528 0.637406i \(-0.780007\pi\)
0.637406 + 0.770528i \(0.280007\pi\)
\(138\) 0.482287 4.77152i 0.0410550 0.406179i
\(139\) 6.45255i 0.547298i −0.961830 0.273649i \(-0.911769\pi\)
0.961830 0.273649i \(-0.0882306\pi\)
\(140\) 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 0.986429 0.164189i \(-0.0525006\pi\)
−0.302901 + 0.953022i \(0.597955\pi\)
\(150\) 2.99433 + 4.00424i 0.244486 + 0.326945i
\(151\) −3.25982 0.957169i −0.265280 0.0778933i 0.146388 0.989227i \(-0.453235\pi\)
−0.411668 + 0.911334i \(0.635054\pi\)
\(152\) 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 0.964848 + 0.262809i \(0.0846489\pi\)
0.523992 + 0.851723i \(0.324442\pi\)
\(158\) −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 0.991131 0.132891i \(-0.0424259\pi\)
−0.999955 + 0.00951456i \(0.996971\pi\)
\(164\) −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 −0.152252 0.988342i \(-0.548653\pi\)
0.905413 + 0.424533i \(0.139562\pi\)
\(168\) −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 −0.518461 0.855101i \(-0.673495\pi\)
−0.634878 + 0.772613i \(0.718949\pi\)
\(174\) 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 −0.652153 0.758087i \(-0.726134\pi\)
0.145855 + 0.989306i \(0.453407\pi\)
\(180\) −0.238454 2.22332i −0.0177733 0.165716i
\(181\) −12.9953 20.2211i −0.965934 1.50302i −0.861039 0.508539i \(-0.830186\pi\)
−0.104895 0.994483i \(-0.533451\pi\)
\(182\) 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 0.894318 0.447431i \(-0.147661\pi\)
−0.994248 + 0.107102i \(0.965843\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −4.55557 12.2140i −0.327917 0.879181i −0.991386 0.130976i \(-0.958189\pi\)
0.663468 0.748205i \(-0.269084\pi\)
\(194\) −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 −0.954632 0.297788i \(-0.903751\pi\)
0.265598 0.964084i \(-0.414431\pi\)
\(198\) −2.34672 + 0.875280i −0.166774 + 0.0622035i
\(199\) −4.73484 3.04289i −0.335644 0.215705i 0.361952 0.932197i \(-0.382110\pi\)
−0.697596 + 0.716492i \(0.745747\pi\)
\(200\) −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 −0.989099 0.147254i \(-0.952957\pi\)
0.907547 0.419950i \(-0.137953\pi\)
\(212\) −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 −0.990253 0.139279i \(-0.955522\pi\)
0.652540 + 0.757754i \(0.273703\pi\)
\(224\) 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 −0.641646 0.767001i \(-0.721748\pi\)
0.902286 0.431139i \(-0.141888\pi\)
\(228\) 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 −0.556804 0.830644i \(-0.687973\pi\)
0.851549 0.524275i \(-0.175664\pi\)
\(234\) 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 −0.999622 0.0275058i \(-0.991244\pi\)
−0.675400 0.737451i \(-0.736029\pi\)
\(240\) 1.99981 1.00039i 0.129087 0.0645749i
\(241\) 3.08360 2.67195i 0.198632 0.172116i −0.549865 0.835253i \(-0.685321\pi\)
0.748498 + 0.663138i \(0.230776\pi\)
\(242\) −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 0.921633 0.388063i \(-0.126856\pi\)
−0.252951 + 0.967479i \(0.581401\pi\)
\(252\) −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 −0.290459 0.956888i \(-0.593808\pi\)
0.999959 + 0.00910663i \(0.00289877\pi\)
\(258\) 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 0.736900 + 0.676002i \(0.236289\pi\)
0.170291 + 0.985394i \(0.445529\pi\)
\(264\) −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 −0.914738 0.404047i \(-0.867603\pi\)
0.551083 0.834451i \(-0.314215\pi\)
\(270\) −2.20044 0.397585i −0.133914 0.0241963i
\(271\) −4.15588 9.10010i −0.252452 0.552792i 0.740397 0.672169i \(-0.234637\pi\)
−0.992849 + 0.119378i \(0.961910\pi\)
\(272\) −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 0.666482 0.745522i \(-0.267800\pi\)
−0.745522 + 0.666482i \(0.767800\pi\)
\(278\) −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 −0.169322 0.985561i \(-0.554158\pi\)
0.633955 + 0.773370i \(0.281431\pi\)
\(282\) −3.48249 + 2.60696i −0.207379 + 0.155242i
\(283\) 19.7823 + 10.8020i 1.17594 + 0.642109i 0.943782 0.330570i \(-0.107241\pi\)
0.232154 + 0.972679i \(0.425423\pi\)
\(284\) −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 −0.971535 0.236895i \(-0.923870\pi\)
−0.0464144 + 0.998922i \(0.514779\pi\)
\(294\) −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 0.998213 + 0.0597492i \(0.0190301\pi\)
−0.883186 + 0.469023i \(0.844606\pi\)
\(308\) −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 0.997730 + 0.0673403i \(0.0214513\pi\)
−0.0753369 + 0.997158i \(0.524003\pi\)
\(312\) 0.269413 + 0.493393i 0.0152525 + 0.0279329i
\(313\) 21.9391 8.18288i 1.24007 0.462524i 0.358038 0.933707i \(-0.383446\pi\)
0.882035 + 0.471183i \(0.156173\pi\)
\(314\) 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 −0.469501 0.882932i \(-0.655566\pi\)
0.933023 0.359818i \(-0.117161\pi\)
\(318\) −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 0.430023 + 0.902818i \(0.358506\pi\)
−0.963909 + 0.266231i \(0.914222\pi\)
\(332\) 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 0.439937 0.898029i \(-0.355001\pi\)
0.773235 + 0.634120i \(0.218637\pi\)
\(338\) −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 0.276591 0.960988i \(-0.410795\pi\)
0.410538 + 0.911843i \(0.365341\pi\)
\(348\) 1.91378 8.79752i 0.102590 0.471596i
\(349\) 7.61352 1.09466i 0.407542 0.0585958i 0.0645047 0.997917i \(-0.479453\pi\)
0.343038 + 0.939322i \(0.388544\pi\)
\(350\) 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 0.000547293 1.00000i \(-0.499826\pi\)
0.415913 + 0.909405i \(0.363462\pi\)
\(354\) 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 −0.833285 0.552843i \(-0.813543\pi\)
0.963497 + 0.267720i \(0.0862701\pi\)
\(360\) −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 −0.177452 0.984129i \(-0.556785\pi\)
0.984129 + 0.177452i \(0.0567855\pi\)
\(368\) 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 0.691870 + 0.722022i \(0.256787\pi\)
−0.995704 + 0.0925895i \(0.970486\pi\)
\(374\) −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 0.757447 0.652897i \(-0.226447\pi\)
−0.754047 + 0.656820i \(0.771901\pi\)
\(380\) −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 −0.999665 0.0258708i \(-0.991764\pi\)
0.898580 0.438809i \(-0.144599\pi\)
\(384\) −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 −0.683086 0.730338i \(-0.739363\pi\)
0.820117 + 0.572195i \(0.193908\pi\)
\(390\) −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 −0.649075 0.760724i \(-0.724844\pi\)
0.547044 + 0.837104i \(0.315753\pi\)
\(398\) −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 −0.887250 0.461289i \(-0.847387\pi\)
0.995794 + 0.0916223i \(0.0292052\pi\)
\(402\) 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 −0.150999 0.988534i \(-0.548249\pi\)
0.648201 + 0.761470i \(0.275522\pi\)
\(410\) 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 0.860712 0.509091i \(-0.170018\pi\)
−0.948392 + 0.317099i \(0.897291\pi\)
\(420\) 1.18659 6.56719i 0.0578997 0.320446i
\(421\) −1.97497 6.72611i −0.0962539 0.327811i 0.897263 0.441497i \(-0.145552\pi\)
−0.993517 + 0.113686i \(0.963734\pi\)
\(422\) −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 0.787323 0.616540i \(-0.211466\pi\)
0.581732 + 0.813381i \(0.302375\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) −11.6987 + 15.6276i −0.562203 + 0.751016i −0.988110 0.153752i \(-0.950864\pi\)
0.425906 + 0.904767i \(0.359955\pi\)
\(434\) −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 0.0433416 0.999060i \(-0.486200\pi\)
−0.982723 + 0.185082i \(0.940745\pi\)
\(440\) 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 0.795834 0.605515i \(-0.207033\pi\)
−0.805199 + 0.593004i \(0.797942\pi\)
\(444\) 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 −0.420015 0.907517i \(-0.637975\pi\)
0.838506 + 0.544893i \(0.183430\pi\)
\(450\) 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 −0.772235 0.635337i \(-0.780861\pi\)
0.966378 0.257124i \(-0.0827750\pi\)
\(458\) 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 −0.991055 0.133457i \(-0.957392\pi\)
0.956935 + 0.290302i \(0.0937557\pi\)
\(464\) 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 −0.964706 0.263328i \(-0.915180\pi\)
0.743085 + 0.669197i \(0.233362\pi\)
\(468\) 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 0.845508 + 0.533962i \(0.179298\pi\)
−0.660825 + 0.750540i \(0.729793\pi\)
\(480\) 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 −0.717893 0.696153i \(-0.754893\pi\)
0.870208 + 0.492685i \(0.163984\pi\)
\(488\) 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 0.843566 0.537025i \(-0.180452\pi\)
−0.138065 + 0.990423i \(0.544088\pi\)
\(492\) −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 0.936257 0.351315i \(-0.114265\pi\)
−0.977565 + 0.210634i \(0.932447\pi\)
\(500\) −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 0.708509 0.705702i \(-0.249368\pi\)
0.351323 + 0.936254i \(0.385732\pi\)
\(504\) −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 −0.999904 0.0138789i \(-0.995582\pi\)
0.402750 0.915310i \(-0.368054\pi\)
\(510\) −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 −0.352486 0.935817i \(-0.614664\pi\)
0.997677 0.0681199i \(-0.0217000\pi\)
\(522\) −7.90198 4.31481i −0.345860 0.188854i
\(523\) 9.75017 7.29888i 0.426345 0.319158i −0.364468 0.931216i \(-0.618749\pi\)
0.790813 + 0.612058i \(0.209658\pi\)
\(524\) −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 0.996488 0.0837346i \(-0.0266848\pi\)
−0.224697 + 0.974429i \(0.572139\pi\)
\(542\) −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 −0.629344 0.777127i \(-0.716676\pi\)
0.984536 0.175181i \(-0.0560509\pi\)
\(548\) −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 0.0849623 0.996384i \(-0.472923\pi\)
−0.588283 + 0.808655i \(0.700196\pi\)
\(558\) 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 −0.998699 0.0509933i \(-0.983761\pi\)
0.995791 + 0.0916555i \(0.0292158\pi\)
\(564\) −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 0.893136 + 0.449786i \(0.148500\pi\)
−0.983677 + 0.179941i \(0.942409\pi\)
\(570\) 6.02644 + 14.5597i 0.252420 + 0.609838i
\(571\) 24.3183 3.49644i 1.01769 0.146322i 0.386775 0.922174i \(-0.373589\pi\)
0.630914 + 0.775853i \(0.282680\pi\)
\(572\) −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 −0.468709 0.883352i \(-0.655281\pi\)
−0.338224 + 0.941065i \(0.609826\pi\)
\(578\) −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 −0.845737 0.533600i \(-0.820839\pi\)
0.913068 0.407808i \(-0.133707\pi\)
\(588\) −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 −0.0358936 0.999356i \(-0.511428\pi\)
−0.681565 + 0.731757i \(0.738700\pi\)
\(594\) 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 \(0.227783\pi\)
−0.754699 + 0.656072i \(0.772217\pi\)
\(600\) 3.53372 + 3.53735i 0.144264 + 0.144412i
\(601\) −13.7684 + 8.84844i −0.561627 + 0.360935i −0.790444 0.612534i \(-0.790150\pi\)
0.228818 + 0.973469i \(0.426514\pi\)
\(602\) 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 −0.653074 0.757294i \(-0.726521\pi\)
0.00236158 + 0.999997i \(0.499248\pi\)
\(608\) 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 −0.831604 0.555369i \(-0.812577\pi\)
0.525745 0.850642i \(-0.323786\pi\)
\(614\) 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 −0.279990 0.960003i \(-0.590331\pi\)
−0.999998 + 0.00181517i \(0.999422\pi\)
\(618\) 1.29955 + 0.282700i 0.0522755 + 0.0113718i
\(619\) −17.1180 + 19.7553i −0.688032 + 0.794031i −0.987084 0.160206i \(-0.948784\pi\)
0.299052 + 0.954237i \(0.403330\pi\)
\(620\) 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 0.832622 + 0.553842i \(0.186839\pi\)
−0.999876 + 0.0157725i \(0.994979\pi\)
\(632\) −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 0.693442 0.720512i \(-0.256093\pi\)
−0.943467 + 0.331466i \(0.892457\pi\)
\(642\) 0.449270 + 6.28162i 0.0177313 + 0.247916i
\(643\) −23.7953 23.7953i −0.938394 0.938394i 0.0598151 0.998209i \(-0.480949\pi\)
−0.998209 + 0.0598151i \(0.980949\pi\)
\(644\) 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 −0.521300 0.853374i \(-0.674553\pi\)
−0.828695 + 0.559700i \(0.810916\pi\)
\(648\) 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 −0.877333 0.479882i \(-0.840679\pi\)
0.348788 0.937202i \(-0.386593\pi\)
\(654\) 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 0.969809 + 0.243866i \(0.0784155\pi\)
0.624701 + 0.780864i \(0.285221\pi\)
\(660\) 2.85902 4.81581i 0.111287 0.187455i
\(661\) −32.1731 4.62580i −1.25139 0.179923i −0.515420 0.856938i \(-0.672364\pi\)
−0.735969 + 0.677015i \(0.763273\pi\)
\(662\) −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 0.988734 0.149682i \(-0.0478250\pi\)
−0.422177 + 0.906513i \(0.638734\pi\)
\(674\) 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 −0.608781 + 0.793338i \(0.708341\pi\)
−0.996531 + 0.0832281i \(0.973477\pi\)
\(678\) 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 0.418836 + 0.908062i \(0.362438\pi\)
−0.990350 + 0.138588i \(0.955744\pi\)
\(684\) 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 −0.644820 0.764335i \(-0.723068\pi\)
0.664787 + 0.747033i \(0.268522\pi\)
\(702\) 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 −0.885347 0.464930i \(-0.846079\pi\)
0.718499 0.695528i \(-0.244830\pi\)
\(710\) −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 0.503418 0.864043i \(-0.332076\pi\)
0.239597 + 0.970872i \(0.422985\pi\)
\(720\) −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 0.967058 + 0.254555i \(0.0819289\pi\)
−0.564156 + 0.825668i \(0.690798\pi\)
\(728\) 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 −0.379483 0.925199i \(-0.623898\pi\)
−0.729532 + 0.683947i \(0.760262\pi\)
\(734\) 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 0.642402 0.766368i \(-0.277938\pi\)
−0.963976 + 0.265989i \(0.914302\pi\)
\(740\) −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 0.752901 0.658134i \(-0.228654\pi\)
−0.146608 + 0.989195i \(0.546836\pi\)
\(744\) −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 −0.860875 0.508816i \(-0.830083\pi\)
0.820456 + 0.571709i \(0.193720\pi\)
\(752\) −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 0.482849 + 0.875704i \(0.339602\pi\)
−0.353309 + 0.935507i \(0.614943\pi\)
\(758\) 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 0.0257632 0.999668i \(-0.491798\pi\)
0.985826 0.167769i \(-0.0536561\pi\)
\(762\) 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 0.390131 0.920759i \(-0.372430\pi\)
−0.169601 + 0.985513i \(0.554248\pi\)
\(770\) 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