Properties

Label 690.2.r.b.49.4
Level $690$
Weight $2$
Character 690.49
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
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.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 49.4
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.b.169.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.934585 + 2.03139i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-2.47408 - 3.84974i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 + 0.142315i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(0.934585 + 2.03139i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-2.47408 - 3.84974i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-1.21417 - 1.87771i) q^{10} +(-0.00211055 + 0.0146792i) q^{11} +(0.989821 + 0.142315i) q^{12} +(1.93109 - 3.00483i) q^{13} +(2.99677 + 3.45846i) q^{14} +(0.00625769 + 2.23606i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.817835 - 2.78529i) q^{17} +(-0.755750 - 0.654861i) q^{18} +(7.13628 - 2.09540i) q^{19} +(1.46904 + 1.68580i) q^{20} +(-0.651260 - 4.52962i) q^{21} -0.0148302i q^{22} +(4.29463 - 2.13452i) q^{23} -1.00000 q^{24} +(-3.25310 + 3.79702i) q^{25} +(-1.48380 + 3.24907i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-3.45846 - 2.99677i) q^{28} +(6.47189 + 1.90032i) q^{29} +(-0.324418 - 2.21241i) q^{30} +(1.24883 + 2.73455i) q^{31} +(-0.755750 + 0.654861i) q^{32} +(-0.00801779 + 0.0124759i) q^{33} +(-0.413122 + 2.87333i) q^{34} +(5.50809 - 8.62373i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-2.52487 + 2.18781i) q^{37} +(-6.76544 + 3.08967i) q^{38} +(3.00483 - 1.93109i) q^{39} +(-1.69400 - 1.45958i) q^{40} +(-2.38170 + 2.74863i) q^{41} +(1.28926 + 4.39083i) q^{42} +(-6.63915 - 3.03200i) q^{43} +(0.00211055 + 0.0146792i) q^{44} +(-0.923200 + 2.03659i) q^{45} +(-3.94714 + 2.72399i) q^{46} +0.920854i q^{47} +(0.989821 - 0.142315i) q^{48} +(-5.79153 + 12.6817i) q^{49} +(2.67962 - 4.22133i) q^{50} +(1.90098 - 2.19385i) q^{51} +(1.00631 - 3.42716i) q^{52} +(4.07432 + 6.33977i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(-0.0317917 + 0.00943161i) q^{55} +(3.84974 + 2.47408i) q^{56} +(7.36185 + 1.05847i) q^{57} +(-6.67646 - 0.959930i) q^{58} +(7.23748 + 4.65125i) q^{59} +(0.635975 + 2.14372i) q^{60} +(-2.74195 - 6.00403i) q^{61} +(-1.62528 - 2.52899i) q^{62} +(1.28926 - 4.39083i) q^{63} +(0.654861 - 0.755750i) q^{64} +(7.90875 + 1.11452i) q^{65} +(0.00616067 - 0.0134900i) q^{66} +(5.29761 - 0.761682i) q^{67} -2.90288i q^{68} +(4.79324 - 0.157578i) q^{69} +(-4.22474 + 9.31983i) q^{70} +(-1.86038 - 12.9392i) q^{71} +(-0.909632 - 0.415415i) q^{72} +(-1.35080 - 4.60039i) q^{73} +(2.18781 - 2.52487i) q^{74} +(-4.53646 + 2.10250i) q^{75} +(6.25687 - 4.02105i) q^{76} +(0.0617328 - 0.0281924i) q^{77} +(-2.69942 + 2.33906i) q^{78} +(-13.4044 - 8.61449i) q^{79} +(1.88448 + 1.20364i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(1.96629 - 3.05961i) q^{82} +(10.6189 - 9.20132i) q^{83} +(-1.90102 - 4.16265i) q^{84} +(6.42235 - 0.941746i) q^{85} +(7.00307 + 2.05629i) q^{86} +(5.09762 + 4.41711i) q^{87} +(-0.00417814 - 0.0142294i) q^{88} +(-3.94429 + 8.63679i) q^{89} +(0.623966 - 2.14725i) q^{90} -16.3455 q^{91} +(3.51930 - 3.25800i) q^{92} +3.00621i q^{93} +(-0.131051 - 0.911481i) q^{94} +(10.9260 + 12.5383i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(4.85804 + 4.20952i) q^{97} +(3.92779 - 13.3768i) q^{98} +(-0.0124759 + 0.00801779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 + 0.142315i −0.699909 + 0.100632i
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 0.959493 0.281733i 0.479746 0.140866i
\(5\) 0.934585 + 2.03139i 0.417959 + 0.908466i
\(6\) −0.959493 0.281733i −0.391711 0.115017i
\(7\) −2.47408 3.84974i −0.935113 1.45506i −0.889936 0.456086i \(-0.849251\pi\)
−0.0451776 0.998979i \(-0.514385\pi\)
\(8\) −0.909632 + 0.415415i −0.321603 + 0.146871i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −1.21417 1.87771i −0.383954 0.593784i
\(11\) −0.00211055 + 0.0146792i −0.000636355 + 0.00442595i −0.990137 0.140102i \(-0.955257\pi\)
0.989501 + 0.144527i \(0.0461662\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) 1.93109 3.00483i 0.535587 0.833390i −0.463009 0.886353i \(-0.653230\pi\)
0.998596 + 0.0529637i \(0.0168668\pi\)
\(14\) 2.99677 + 3.45846i 0.800920 + 0.924312i
\(15\) 0.00625769 + 2.23606i 0.00161573 + 0.577348i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.817835 2.78529i 0.198354 0.675532i −0.798899 0.601465i \(-0.794584\pi\)
0.997253 0.0740670i \(-0.0235979\pi\)
\(18\) −0.755750 0.654861i −0.178132 0.154352i
\(19\) 7.13628 2.09540i 1.63718 0.480718i 0.671616 0.740900i \(-0.265601\pi\)
0.965560 + 0.260182i \(0.0837825\pi\)
\(20\) 1.46904 + 1.68580i 0.328487 + 0.376957i
\(21\) −0.651260 4.52962i −0.142117 0.988443i
\(22\) 0.0148302i 0.00316180i
\(23\) 4.29463 2.13452i 0.895491 0.445079i
\(24\) −1.00000 −0.204124
\(25\) −3.25310 + 3.79702i −0.650621 + 0.759403i
\(26\) −1.48380 + 3.24907i −0.290997 + 0.637194i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −3.45846 2.99677i −0.653587 0.566336i
\(29\) 6.47189 + 1.90032i 1.20180 + 0.352880i 0.820541 0.571588i \(-0.193672\pi\)
0.381259 + 0.924468i \(0.375491\pi\)
\(30\) −0.324418 2.21241i −0.0592304 0.403929i
\(31\) 1.24883 + 2.73455i 0.224296 + 0.491139i 0.988005 0.154421i \(-0.0493513\pi\)
−0.763710 + 0.645560i \(0.776624\pi\)
\(32\) −0.755750 + 0.654861i −0.133599 + 0.115764i
\(33\) −0.00801779 + 0.0124759i −0.00139572 + 0.00217178i
\(34\) −0.413122 + 2.87333i −0.0708499 + 0.492772i
\(35\) 5.50809 8.62373i 0.931038 1.45768i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) −2.52487 + 2.18781i −0.415086 + 0.359674i −0.837227 0.546856i \(-0.815824\pi\)
0.422140 + 0.906531i \(0.361279\pi\)
\(38\) −6.76544 + 3.08967i −1.09750 + 0.501211i
\(39\) 3.00483 1.93109i 0.481158 0.309221i
\(40\) −1.69400 1.45958i −0.267845 0.230780i
\(41\) −2.38170 + 2.74863i −0.371959 + 0.429264i −0.910611 0.413265i \(-0.864388\pi\)
0.538652 + 0.842529i \(0.318934\pi\)
\(42\) 1.28926 + 4.39083i 0.198938 + 0.677519i
\(43\) −6.63915 3.03200i −1.01246 0.462375i −0.161090 0.986940i \(-0.551501\pi\)
−0.851371 + 0.524565i \(0.824228\pi\)
\(44\) 0.00211055 + 0.0146792i 0.000318178 + 0.00221297i
\(45\) −0.923200 + 2.03659i −0.137623 + 0.303597i
\(46\) −3.94714 + 2.72399i −0.581974 + 0.401630i
\(47\) 0.920854i 0.134320i 0.997742 + 0.0671602i \(0.0213938\pi\)
−0.997742 + 0.0671602i \(0.978606\pi\)
\(48\) 0.989821 0.142315i 0.142868 0.0205414i
\(49\) −5.79153 + 12.6817i −0.827362 + 1.81167i
\(50\) 2.67962 4.22133i 0.378955 0.596986i
\(51\) 1.90098 2.19385i 0.266190 0.307200i
\(52\) 1.00631 3.42716i 0.139549 0.475262i
\(53\) 4.07432 + 6.33977i 0.559651 + 0.870835i 0.999631 0.0271733i \(-0.00865059\pi\)
−0.439979 + 0.898008i \(0.645014\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) −0.0317917 + 0.00943161i −0.00428679 + 0.00127176i
\(56\) 3.84974 + 2.47408i 0.514443 + 0.330613i
\(57\) 7.36185 + 1.05847i 0.975101 + 0.140198i
\(58\) −6.67646 0.959930i −0.876662 0.126045i
\(59\) 7.23748 + 4.65125i 0.942240 + 0.605541i 0.919029 0.394190i \(-0.128975\pi\)
0.0232108 + 0.999731i \(0.492611\pi\)
\(60\) 0.635975 + 2.14372i 0.0821040 + 0.276753i
\(61\) −2.74195 6.00403i −0.351071 0.768737i −0.999969 0.00786238i \(-0.997497\pi\)
0.648899 0.760875i \(-0.275230\pi\)
\(62\) −1.62528 2.52899i −0.206411 0.321181i
\(63\) 1.28926 4.39083i 0.162432 0.553192i
\(64\) 0.654861 0.755750i 0.0818576 0.0944687i
\(65\) 7.90875 + 1.11452i 0.980959 + 0.138240i
\(66\) 0.00616067 0.0134900i 0.000758326 0.00166050i
\(67\) 5.29761 0.761682i 0.647206 0.0930542i 0.189109 0.981956i \(-0.439440\pi\)
0.458098 + 0.888902i \(0.348531\pi\)
\(68\) 2.90288i 0.352025i
\(69\) 4.79324 0.157578i 0.577039 0.0189702i
\(70\) −4.22474 + 9.31983i −0.504954 + 1.11393i
\(71\) −1.86038 12.9392i −0.220786 1.53560i −0.735075 0.677986i \(-0.762853\pi\)
0.514289 0.857617i \(-0.328056\pi\)
\(72\) −0.909632 0.415415i −0.107201 0.0489571i
\(73\) −1.35080 4.60039i −0.158099 0.538435i 0.841900 0.539633i \(-0.181437\pi\)
−0.999999 + 0.00119755i \(0.999619\pi\)
\(74\) 2.18781 2.52487i 0.254328 0.293510i
\(75\) −4.53646 + 2.10250i −0.523826 + 0.242776i
\(76\) 6.25687 4.02105i 0.717712 0.461246i
\(77\) 0.0617328 0.0281924i 0.00703510 0.00321282i
\(78\) −2.69942 + 2.33906i −0.305649 + 0.264847i
\(79\) −13.4044 8.61449i −1.50811 0.969206i −0.993749 0.111635i \(-0.964391\pi\)
−0.514365 0.857571i \(-0.671972\pi\)
\(80\) 1.88448 + 1.20364i 0.210691 + 0.134571i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 1.96629 3.05961i 0.217140 0.337877i
\(83\) 10.6189 9.20132i 1.16557 1.00998i 0.165858 0.986150i \(-0.446961\pi\)
0.999716 0.0238265i \(-0.00758493\pi\)
\(84\) −1.90102 4.16265i −0.207418 0.454183i
\(85\) 6.42235 0.941746i 0.696602 0.102147i
\(86\) 7.00307 + 2.05629i 0.755160 + 0.221735i
\(87\) 5.09762 + 4.41711i 0.546522 + 0.473564i
\(88\) −0.00417814 0.0142294i −0.000445391 0.00151686i
\(89\) −3.94429 + 8.63679i −0.418094 + 0.915498i 0.577017 + 0.816732i \(0.304217\pi\)
−0.995111 + 0.0987660i \(0.968510\pi\)
\(90\) 0.623966 2.14725i 0.0657718 0.226340i
\(91\) −16.3455 −1.71347
\(92\) 3.51930 3.25800i 0.366912 0.339670i
\(93\) 3.00621i 0.311730i
\(94\) −0.131051 0.911481i −0.0135169 0.0940121i
\(95\) 10.9260 + 12.5383i 1.12099 + 1.28640i
\(96\) −0.959493 + 0.281733i −0.0979278 + 0.0287542i
\(97\) 4.85804 + 4.20952i 0.493259 + 0.427412i 0.865639 0.500669i \(-0.166913\pi\)
−0.372380 + 0.928081i \(0.621458\pi\)
\(98\) 3.92779 13.3768i 0.396767 1.35126i
\(99\) −0.0124759 + 0.00801779i −0.00125388 + 0.000805818i
\(100\) −2.05159 + 4.55971i −0.205159 + 0.455971i
\(101\) −4.91898 5.67680i −0.489456 0.564863i 0.456264 0.889845i \(-0.349187\pi\)
−0.945720 + 0.324982i \(0.894642\pi\)
\(102\) −1.56941 + 2.44205i −0.155395 + 0.241799i
\(103\) 19.7907 + 2.84547i 1.95003 + 0.280373i 0.999539 0.0303672i \(-0.00966767\pi\)
0.950495 + 0.310740i \(0.100577\pi\)
\(104\) −0.508327 + 3.53549i −0.0498455 + 0.346683i
\(105\) 8.59276 5.55627i 0.838568 0.542237i
\(106\) −4.93510 5.69541i −0.479339 0.553187i
\(107\) −8.01342 + 3.65961i −0.774687 + 0.353788i −0.763213 0.646147i \(-0.776379\pi\)
−0.0114734 + 0.999934i \(0.503652\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) 6.68967 + 1.96426i 0.640754 + 0.188142i 0.585940 0.810354i \(-0.300725\pi\)
0.0548139 + 0.998497i \(0.482543\pi\)
\(110\) 0.0301259 0.0138600i 0.00287239 0.00132150i
\(111\) −3.20555 + 0.941236i −0.304258 + 0.0893381i
\(112\) −4.16265 1.90102i −0.393334 0.179629i
\(113\) −19.8624 + 2.85578i −1.86849 + 0.268649i −0.981263 0.192674i \(-0.938284\pi\)
−0.887232 + 0.461323i \(0.847375\pi\)
\(114\) −7.43755 −0.696591
\(115\) 8.34974 + 6.72917i 0.778618 + 0.627499i
\(116\) 6.74512 0.626268
\(117\) 3.53549 0.508327i 0.326856 0.0469948i
\(118\) −7.82576 3.57390i −0.720419 0.329004i
\(119\) −12.7460 + 3.74257i −1.16843 + 0.343081i
\(120\) −0.934585 2.03139i −0.0853155 0.185440i
\(121\) 10.5542 + 3.09900i 0.959474 + 0.281727i
\(122\) 3.56850 + 5.55270i 0.323077 + 0.502718i
\(123\) −3.30830 + 1.51085i −0.298299 + 0.136229i
\(124\) 1.96865 + 2.27194i 0.176790 + 0.204026i
\(125\) −10.7535 3.05969i −0.961824 0.273667i
\(126\) −0.651260 + 4.52962i −0.0580189 + 0.403530i
\(127\) −2.82813 0.406624i −0.250956 0.0360821i 0.0156886 0.999877i \(-0.495006\pi\)
−0.266645 + 0.963795i \(0.585915\pi\)
\(128\) −0.540641 + 0.841254i −0.0477863 + 0.0743570i
\(129\) −4.77964 5.51600i −0.420824 0.485657i
\(130\) −7.98686 + 0.0223515i −0.700494 + 0.00196036i
\(131\) 4.49523 2.88891i 0.392750 0.252405i −0.329330 0.944215i \(-0.606823\pi\)
0.722080 + 0.691810i \(0.243186\pi\)
\(132\) −0.00417814 + 0.0142294i −0.000363660 + 0.00123851i
\(133\) −25.7225 22.2886i −2.23042 1.93267i
\(134\) −5.13529 + 1.50786i −0.443622 + 0.130259i
\(135\) −1.68580 + 1.46904i −0.145091 + 0.126435i
\(136\) 0.413122 + 2.87333i 0.0354250 + 0.246386i
\(137\) 5.96460i 0.509590i 0.966995 + 0.254795i \(0.0820080\pi\)
−0.966995 + 0.254795i \(0.917992\pi\)
\(138\) −4.72203 + 0.838124i −0.401966 + 0.0713458i
\(139\) −8.45609 −0.717236 −0.358618 0.933484i \(-0.616752\pi\)
−0.358618 + 0.933484i \(0.616752\pi\)
\(140\) 2.85539 9.82622i 0.241325 0.830467i
\(141\) −0.382536 + 0.837638i −0.0322154 + 0.0705418i
\(142\) 3.68289 + 12.5428i 0.309061 + 1.05256i
\(143\) 0.0400328 + 0.0346887i 0.00334771 + 0.00290081i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 2.18824 + 14.9230i 0.181723 + 1.23928i
\(146\) 1.99175 + 4.36133i 0.164839 + 0.360946i
\(147\) −10.5363 + 9.12978i −0.869021 + 0.753011i
\(148\) −1.80622 + 2.81053i −0.148470 + 0.231024i
\(149\) 1.17559 8.17640i 0.0963080 0.669837i −0.883284 0.468839i \(-0.844672\pi\)
0.979592 0.200998i \(-0.0644185\pi\)
\(150\) 4.19107 2.72670i 0.342200 0.222634i
\(151\) −0.645427 0.414791i −0.0525241 0.0337552i 0.514115 0.857721i \(-0.328120\pi\)
−0.566639 + 0.823966i \(0.691757\pi\)
\(152\) −5.62093 + 4.87056i −0.455918 + 0.395055i
\(153\) 2.64055 1.20590i 0.213476 0.0974911i
\(154\) −0.0570922 + 0.0366910i −0.00460062 + 0.00295664i
\(155\) −4.38780 + 5.09252i −0.352437 + 0.409041i
\(156\) 2.33906 2.69942i 0.187275 0.216127i
\(157\) −5.52292 18.8093i −0.440777 1.50115i −0.818105 0.575069i \(-0.804975\pi\)
0.377328 0.926080i \(-0.376843\pi\)
\(158\) 14.4939 + 6.61916i 1.15308 + 0.526592i
\(159\) 1.07250 + 7.45939i 0.0850547 + 0.591568i
\(160\) −2.03659 0.923200i −0.161007 0.0729854i
\(161\) −18.8426 11.2522i −1.48500 0.886799i
\(162\) 1.00000i 0.0785674i
\(163\) −10.6817 + 1.53580i −0.836657 + 0.120293i −0.547309 0.836931i \(-0.684348\pi\)
−0.289348 + 0.957224i \(0.593438\pi\)
\(164\) −1.51085 + 3.30830i −0.117977 + 0.258334i
\(165\) −0.0328368 0.00462746i −0.00255634 0.000360247i
\(166\) −9.20132 + 10.6189i −0.714161 + 0.824186i
\(167\) −3.69618 + 12.5880i −0.286019 + 0.974092i 0.683678 + 0.729784i \(0.260379\pi\)
−0.969698 + 0.244309i \(0.921439\pi\)
\(168\) 2.47408 + 3.84974i 0.190879 + 0.297014i
\(169\) 0.100492 + 0.220048i 0.00773018 + 0.0169267i
\(170\) −6.22295 + 1.84616i −0.477279 + 0.141594i
\(171\) 6.25687 + 4.02105i 0.478475 + 0.307497i
\(172\) −7.22443 1.03872i −0.550857 0.0792013i
\(173\) −12.3234 1.77184i −0.936933 0.134711i −0.343100 0.939299i \(-0.611477\pi\)
−0.593833 + 0.804588i \(0.702386\pi\)
\(174\) −5.67435 3.64669i −0.430172 0.276454i
\(175\) 22.6659 + 3.12949i 1.71338 + 0.236567i
\(176\) 0.00616067 + 0.0134900i 0.000464378 + 0.00101685i
\(177\) 4.65125 + 7.23748i 0.349609 + 0.544002i
\(178\) 2.67500 9.11022i 0.200500 0.682840i
\(179\) −7.35888 + 8.49261i −0.550029 + 0.634767i −0.960890 0.276931i \(-0.910683\pi\)
0.410861 + 0.911698i \(0.365228\pi\)
\(180\) −0.312030 + 2.21419i −0.0232574 + 0.165036i
\(181\) 6.14801 13.4623i 0.456978 1.00064i −0.531188 0.847254i \(-0.678254\pi\)
0.988166 0.153388i \(-0.0490185\pi\)
\(182\) 16.1791 2.32620i 1.19927 0.172430i
\(183\) 6.60051i 0.487923i
\(184\) −3.01982 + 3.72568i −0.222624 + 0.274661i
\(185\) −6.80401 3.08430i −0.500241 0.226763i
\(186\) −0.427828 2.97561i −0.0313699 0.218182i
\(187\) 0.0391598 + 0.0178837i 0.00286364 + 0.00130778i
\(188\) 0.259434 + 0.883553i 0.0189212 + 0.0644397i
\(189\) 2.99677 3.45846i 0.217983 0.251566i
\(190\) −12.5992 10.8557i −0.914043 0.787555i
\(191\) −2.36772 + 1.52164i −0.171322 + 0.110102i −0.623492 0.781830i \(-0.714287\pi\)
0.452170 + 0.891932i \(0.350650\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) −15.9895 + 13.8550i −1.15095 + 0.997304i −0.150988 + 0.988536i \(0.548246\pi\)
−0.999962 + 0.00876797i \(0.997209\pi\)
\(194\) −5.40767 3.47530i −0.388248 0.249512i
\(195\) 6.73106 + 4.29922i 0.482021 + 0.307874i
\(196\) −1.98409 + 13.7997i −0.141721 + 0.985689i
\(197\) −12.5263 + 19.4914i −0.892464 + 1.38870i 0.0287255 + 0.999587i \(0.490855\pi\)
−0.921190 + 0.389114i \(0.872781\pi\)
\(198\) 0.0112079 0.00971169i 0.000796510 0.000690179i
\(199\) −7.62100 16.6877i −0.540238 1.18296i −0.961193 0.275875i \(-0.911032\pi\)
0.420955 0.907081i \(-0.361695\pi\)
\(200\) 1.38179 4.80527i 0.0977073 0.339784i
\(201\) 5.13529 + 1.50786i 0.362216 + 0.106356i
\(202\) 5.67680 + 4.91898i 0.399418 + 0.346098i
\(203\) −8.69623 29.6166i −0.610356 2.07868i
\(204\) 1.20590 2.64055i 0.0844298 0.184875i
\(205\) −7.80945 2.26934i −0.545436 0.158498i
\(206\) −19.9942 −1.39306
\(207\) 4.42555 + 1.84785i 0.307597 + 0.128434i
\(208\) 3.57185i 0.247663i
\(209\) 0.0156973 + 0.109177i 0.00108581 + 0.00755196i
\(210\) −7.71456 + 6.72260i −0.532355 + 0.463903i
\(211\) −10.2713 + 3.01593i −0.707106 + 0.207625i −0.615462 0.788167i \(-0.711030\pi\)
−0.0916441 + 0.995792i \(0.529212\pi\)
\(212\) 5.69541 + 4.93510i 0.391162 + 0.338944i
\(213\) 3.68289 12.5428i 0.252347 0.859415i
\(214\) 7.41104 4.76279i 0.506608 0.325577i
\(215\) −0.0456731 16.3204i −0.00311488 1.11304i
\(216\) −0.654861 0.755750i −0.0445576 0.0514222i
\(217\) 7.43760 11.5731i 0.504897 0.785635i
\(218\) −6.90112 0.992232i −0.467403 0.0672024i
\(219\) 0.682344 4.74581i 0.0461085 0.320692i
\(220\) −0.0278467 + 0.0180063i −0.00187743 + 0.00121399i
\(221\) −6.79001 7.83609i −0.456745 0.527112i
\(222\) 3.03897 1.38785i 0.203963 0.0931466i
\(223\) 8.65920 + 13.4740i 0.579863 + 0.902285i 0.999987 0.00518222i \(-0.00164956\pi\)
−0.420123 + 0.907467i \(0.638013\pi\)
\(224\) 4.39083 + 1.28926i 0.293374 + 0.0861425i
\(225\) −4.99992 + 0.0279851i −0.333328 + 0.00186567i
\(226\) 19.2538 5.65342i 1.28074 0.376060i
\(227\) 21.2364 + 9.69834i 1.40951 + 0.643701i 0.967399 0.253259i \(-0.0815025\pi\)
0.442111 + 0.896960i \(0.354230\pi\)
\(228\) 7.36185 1.05847i 0.487551 0.0700992i
\(229\) 9.72610 0.642719 0.321359 0.946957i \(-0.395860\pi\)
0.321359 + 0.946957i \(0.395860\pi\)
\(230\) −9.22242 5.47239i −0.608108 0.360839i
\(231\) 0.0678657 0.00446523
\(232\) −6.67646 + 0.959930i −0.438331 + 0.0630225i
\(233\) −4.22035 1.92737i −0.276485 0.126266i 0.272347 0.962199i \(-0.412200\pi\)
−0.548832 + 0.835933i \(0.684927\pi\)
\(234\) −3.42716 + 1.00631i −0.224041 + 0.0657843i
\(235\) −1.87061 + 0.860616i −0.122025 + 0.0561404i
\(236\) 8.25472 + 2.42380i 0.537337 + 0.157776i
\(237\) −8.61449 13.4044i −0.559571 0.870710i
\(238\) 12.0837 5.51843i 0.783268 0.357706i
\(239\) 15.8634 + 18.3073i 1.02612 + 1.18420i 0.982711 + 0.185144i \(0.0592751\pi\)
0.0434049 + 0.999058i \(0.486179\pi\)
\(240\) 1.21417 + 1.87771i 0.0783743 + 0.121206i
\(241\) −1.77061 + 12.3149i −0.114055 + 0.793271i 0.849850 + 0.527025i \(0.176693\pi\)
−0.963905 + 0.266246i \(0.914216\pi\)
\(242\) −10.8878 1.56543i −0.699895 0.100630i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) −4.32241 4.98833i −0.276714 0.319345i
\(245\) −31.1741 + 0.0872419i −1.99164 + 0.00557368i
\(246\) 3.05961 1.96629i 0.195073 0.125366i
\(247\) 7.48445 25.4897i 0.476224 1.62187i
\(248\) −2.27194 1.96865i −0.144268 0.125009i
\(249\) 13.4816 3.95857i 0.854365 0.250864i
\(250\) 11.0795 + 1.49816i 0.700730 + 0.0947522i
\(251\) 0.980076 + 6.81658i 0.0618618 + 0.430258i 0.997091 + 0.0762163i \(0.0242840\pi\)
−0.935229 + 0.354042i \(0.884807\pi\)
\(252\) 4.57619i 0.288273i
\(253\) 0.0222691 + 0.0675467i 0.00140004 + 0.00424663i
\(254\) 2.85722 0.179278
\(255\) 6.23319 + 1.81130i 0.390337 + 0.113428i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −0.217513 0.740781i −0.0135681 0.0462086i 0.952431 0.304755i \(-0.0985746\pi\)
−0.965999 + 0.258547i \(0.916756\pi\)
\(258\) 5.51600 + 4.77964i 0.343411 + 0.297568i
\(259\) 14.6692 + 4.30728i 0.911502 + 0.267641i
\(260\) 7.90239 1.15877i 0.490085 0.0718640i
\(261\) 2.80202 + 6.13557i 0.173441 + 0.379782i
\(262\) −4.03834 + 3.49924i −0.249489 + 0.216184i
\(263\) 1.04841 1.63135i 0.0646476 0.100594i −0.807425 0.589970i \(-0.799139\pi\)
0.872072 + 0.489377i \(0.162776\pi\)
\(264\) 0.00211055 0.0146792i 0.000129895 0.000903443i
\(265\) −9.07076 + 14.2016i −0.557212 + 0.872397i
\(266\) 28.6326 + 18.4011i 1.75558 + 1.12824i
\(267\) −7.17571 + 6.21779i −0.439146 + 0.380522i
\(268\) 4.86843 2.22334i 0.297387 0.135812i
\(269\) 4.33368 2.78509i 0.264229 0.169810i −0.401818 0.915720i \(-0.631621\pi\)
0.666047 + 0.745910i \(0.267985\pi\)
\(270\) 1.45958 1.69400i 0.0888271 0.103093i
\(271\) 5.14236 5.93460i 0.312376 0.360501i −0.577751 0.816213i \(-0.696070\pi\)
0.890127 + 0.455712i \(0.150615\pi\)
\(272\) −0.817835 2.78529i −0.0495885 0.168883i
\(273\) −14.8684 6.79015i −0.899874 0.410959i
\(274\) −0.848851 5.90389i −0.0512809 0.356667i
\(275\) −0.0488713 0.0557668i −0.00294705 0.00336286i
\(276\) 4.55469 1.50161i 0.274160 0.0903862i
\(277\) 0.855020i 0.0513732i 0.999670 + 0.0256866i \(0.00817719\pi\)
−0.999670 + 0.0256866i \(0.991823\pi\)
\(278\) 8.37002 1.20343i 0.502000 0.0721768i
\(279\) −1.24883 + 2.73455i −0.0747652 + 0.163713i
\(280\) −1.42791 + 10.1326i −0.0853341 + 0.605536i
\(281\) −12.6069 + 14.5491i −0.752065 + 0.867929i −0.994767 0.102172i \(-0.967421\pi\)
0.242702 + 0.970101i \(0.421966\pi\)
\(282\) 0.259434 0.883553i 0.0154491 0.0526148i
\(283\) 5.53606 + 8.61428i 0.329085 + 0.512066i 0.965888 0.258961i \(-0.0833800\pi\)
−0.636803 + 0.771026i \(0.719744\pi\)
\(284\) −5.43042 11.8910i −0.322236 0.705599i
\(285\) 4.73010 + 15.9440i 0.280187 + 0.944443i
\(286\) −0.0445621 0.0286383i −0.00263501 0.00169342i
\(287\) 16.4740 + 2.36861i 0.972431 + 0.139815i
\(288\) −0.989821 0.142315i −0.0583258 0.00838598i
\(289\) 7.21233 + 4.63508i 0.424255 + 0.272652i
\(290\) −4.28972 14.4596i −0.251901 0.849099i
\(291\) 2.67033 + 5.84721i 0.156538 + 0.342770i
\(292\) −2.59216 4.03348i −0.151695 0.236042i
\(293\) −4.80460 + 16.3630i −0.280688 + 0.955935i 0.691626 + 0.722256i \(0.256895\pi\)
−0.972314 + 0.233679i \(0.924924\pi\)
\(294\) 9.12978 10.5363i 0.532459 0.614491i
\(295\) −2.68446 + 19.0491i −0.156296 + 1.10908i
\(296\) 1.38785 3.03897i 0.0806673 0.176637i
\(297\) −0.0146792 + 0.00211055i −0.000851774 + 0.000122467i
\(298\) 8.26048i 0.478517i
\(299\) 1.87942 17.0266i 0.108689 0.984672i
\(300\) −3.76036 + 3.29540i −0.217105 + 0.190260i
\(301\) 4.75337 + 33.0604i 0.273979 + 1.90557i
\(302\) 0.697888 + 0.318715i 0.0401590 + 0.0183400i
\(303\) −2.11623 7.20722i −0.121574 0.414044i
\(304\) 4.87056 5.62093i 0.279346 0.322382i
\(305\) 9.63395 11.1812i 0.551639 0.640236i
\(306\) −2.44205 + 1.56941i −0.139603 + 0.0897174i
\(307\) −26.1517 + 11.9431i −1.49256 + 0.681629i −0.983798 0.179279i \(-0.942623\pi\)
−0.508761 + 0.860908i \(0.669896\pi\)
\(308\) 0.0512895 0.0444426i 0.00292249 0.00253235i
\(309\) 16.8202 + 10.8097i 0.956867 + 0.614941i
\(310\) 3.61840 5.66513i 0.205511 0.321758i
\(311\) 0.681277 4.73839i 0.0386317 0.268689i −0.961346 0.275343i \(-0.911209\pi\)
0.999978 + 0.00665332i \(0.00211783\pi\)
\(312\) −1.93109 + 3.00483i −0.109326 + 0.170115i
\(313\) −14.6429 + 12.6882i −0.827668 + 0.717178i −0.961791 0.273786i \(-0.911724\pi\)
0.134123 + 0.990965i \(0.457178\pi\)
\(314\) 8.14356 + 17.8319i 0.459567 + 1.00631i
\(315\) 10.1244 1.48460i 0.570446 0.0836478i
\(316\) −15.2884 4.48909i −0.860041 0.252531i
\(317\) 5.01542 + 4.34588i 0.281694 + 0.244089i 0.784235 0.620464i \(-0.213056\pi\)
−0.502541 + 0.864554i \(0.667601\pi\)
\(318\) −2.12317 7.23084i −0.119061 0.405485i
\(319\) −0.0415544 + 0.0909915i −0.00232660 + 0.00509455i
\(320\) 2.14725 + 0.623966i 0.120035 + 0.0348808i
\(321\) −8.80952 −0.491699
\(322\) 20.2522 + 8.45610i 1.12861 + 0.471240i
\(323\) 21.5903i 1.20132i
\(324\) 0.142315 + 0.989821i 0.00790638 + 0.0549901i
\(325\) 5.12736 + 17.1074i 0.284415 + 0.948947i
\(326\) 10.3544 3.04033i 0.573479 0.168388i
\(327\) 5.26915 + 4.56575i 0.291385 + 0.252486i
\(328\) 1.02465 3.48964i 0.0565768 0.192683i
\(329\) 3.54505 2.27826i 0.195445 0.125605i
\(330\) 0.0331611 9.28025e-5i 0.00182546 5.10861e-6i
\(331\) −6.49261 7.49288i −0.356866 0.411846i 0.548721 0.836006i \(-0.315115\pi\)
−0.905587 + 0.424160i \(0.860569\pi\)
\(332\) 7.59644 11.8203i 0.416909 0.648723i
\(333\) −3.30688 0.475457i −0.181216 0.0260549i
\(334\) 1.86710 12.9859i 0.102163 0.710559i
\(335\) 6.49834 + 10.0497i 0.355042 + 0.549072i
\(336\) −2.99677 3.45846i −0.163487 0.188674i
\(337\) 4.22162 1.92795i 0.229966 0.105022i −0.297100 0.954846i \(-0.596019\pi\)
0.527066 + 0.849824i \(0.323292\pi\)
\(338\) −0.130786 0.203506i −0.00711380 0.0110693i
\(339\) −19.2538 5.65342i −1.04572 0.307052i
\(340\) 5.89688 2.71298i 0.319803 0.147132i
\(341\) −0.0427767 + 0.0125604i −0.00231649 + 0.000680182i
\(342\) −6.76544 3.08967i −0.365833 0.167070i
\(343\) 31.4426 4.52076i 1.69774 0.244098i
\(344\) 7.29872 0.393521
\(345\) 4.79979 + 9.58968i 0.258412 + 0.516291i
\(346\) 12.4502 0.669325
\(347\) −2.53653 + 0.364698i −0.136168 + 0.0195780i −0.210062 0.977688i \(-0.567367\pi\)
0.0738937 + 0.997266i \(0.476457\pi\)
\(348\) 6.13557 + 2.80202i 0.328901 + 0.150204i
\(349\) −11.4008 + 3.34757i −0.610269 + 0.179191i −0.572241 0.820085i \(-0.693926\pi\)
−0.0380281 + 0.999277i \(0.512108\pi\)
\(350\) −22.8806 + 0.128065i −1.22302 + 0.00684538i
\(351\) 3.42716 + 1.00631i 0.182928 + 0.0537126i
\(352\) −0.00801779 0.0124759i −0.000427349 0.000664969i
\(353\) 7.73691 3.53333i 0.411794 0.188060i −0.198736 0.980053i \(-0.563684\pi\)
0.610530 + 0.791993i \(0.290956\pi\)
\(354\) −5.63391 6.50187i −0.299439 0.345571i
\(355\) 24.5459 15.8720i 1.30276 0.842396i
\(356\) −1.35125 + 9.39818i −0.0716163 + 0.498102i
\(357\) −13.1489 1.89053i −0.695914 0.100057i
\(358\) 6.07536 9.45344i 0.321093 0.499630i
\(359\) 3.36968 + 3.88882i 0.177845 + 0.205244i 0.837672 0.546173i \(-0.183916\pi\)
−0.659827 + 0.751417i \(0.729371\pi\)
\(360\) −0.00625769 2.23606i −0.000329809 0.117851i
\(361\) 30.5520 19.6346i 1.60800 1.03340i
\(362\) −4.16955 + 14.2002i −0.219147 + 0.746346i
\(363\) 8.31308 + 7.20332i 0.436323 + 0.378076i
\(364\) −15.6834 + 4.60505i −0.822031 + 0.241370i
\(365\) 8.08277 7.04346i 0.423071 0.368671i
\(366\) 0.939350 + 6.53332i 0.0491006 + 0.341502i
\(367\) 25.1961i 1.31523i −0.753355 0.657614i \(-0.771566\pi\)
0.753355 0.657614i \(-0.228434\pi\)
\(368\) 2.45886 4.11753i 0.128177 0.214641i
\(369\) −3.63696 −0.189333
\(370\) 7.17370 + 2.08460i 0.372943 + 0.108373i
\(371\) 14.3263 31.3702i 0.743783 1.62866i
\(372\) 0.846947 + 2.88444i 0.0439122 + 0.149551i
\(373\) 13.3694 + 11.5847i 0.692242 + 0.599831i 0.928266 0.371916i \(-0.121299\pi\)
−0.236025 + 0.971747i \(0.575845\pi\)
\(374\) −0.0413063 0.0121286i −0.00213590 0.000627156i
\(375\) −8.51071 7.25037i −0.439491 0.374407i
\(376\) −0.382536 0.837638i −0.0197278 0.0431979i
\(377\) 18.2079 15.7772i 0.937755 0.812570i
\(378\) −2.47408 + 3.84974i −0.127253 + 0.198009i
\(379\) 4.48220 31.1744i 0.230235 1.60132i −0.466852 0.884336i \(-0.654612\pi\)
0.697087 0.716987i \(-0.254479\pi\)
\(380\) 14.0159 + 8.95214i 0.719000 + 0.459235i
\(381\) −2.40364 1.54473i −0.123142 0.0791388i
\(382\) 2.12707 1.84312i 0.108830 0.0943020i
\(383\) −31.8123 + 14.5282i −1.62553 + 0.742355i −0.999305 0.0372863i \(-0.988129\pi\)
−0.626226 + 0.779641i \(0.715401\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) 0.114964 + 0.0990553i 0.00585913 + 0.00504832i
\(386\) 13.8550 15.9895i 0.705200 0.813844i
\(387\) −2.05629 7.00307i −0.104527 0.355986i
\(388\) 5.84721 + 2.67033i 0.296847 + 0.135566i
\(389\) 3.46164 + 24.0762i 0.175512 + 1.22071i 0.866994 + 0.498319i \(0.166049\pi\)
−0.691482 + 0.722394i \(0.743042\pi\)
\(390\) −7.27439 3.29753i −0.368353 0.166977i
\(391\) −2.43297 13.7075i −0.123041 0.693216i
\(392\) 13.9416i 0.704155i
\(393\) 5.28910 0.760458i 0.266800 0.0383600i
\(394\) 9.62492 21.0756i 0.484897 1.06178i
\(395\) 4.97185 35.2806i 0.250161 1.77516i
\(396\) −0.00971169 + 0.0112079i −0.000488031 + 0.000563217i
\(397\) −2.93854 + 10.0077i −0.147481 + 0.502274i −0.999784 0.0207739i \(-0.993387\pi\)
0.852303 + 0.523048i \(0.175205\pi\)
\(398\) 9.91833 + 15.4332i 0.497161 + 0.773597i
\(399\) −14.1389 30.9600i −0.707832 1.54994i
\(400\) −0.683863 + 4.95301i −0.0341931 + 0.247651i
\(401\) −6.69952 4.30552i −0.334558 0.215007i 0.362566 0.931958i \(-0.381901\pi\)
−0.697124 + 0.716951i \(0.745537\pi\)
\(402\) −5.29761 0.761682i −0.264221 0.0379892i
\(403\) 10.6284 + 1.52814i 0.529440 + 0.0761220i
\(404\) −6.31906 4.06101i −0.314385 0.202043i
\(405\) −2.14372 + 0.635975i −0.106522 + 0.0316018i
\(406\) 12.8226 + 28.0776i 0.636375 + 1.39347i
\(407\) −0.0267865 0.0416806i −0.00132776 0.00206603i
\(408\) −0.817835 + 2.78529i −0.0404889 + 0.137892i
\(409\) −7.84771 + 9.05674i −0.388044 + 0.447827i −0.915839 0.401545i \(-0.868473\pi\)
0.527795 + 0.849372i \(0.323019\pi\)
\(410\) 8.05292 + 1.13484i 0.397705 + 0.0560459i
\(411\) −2.47778 + 5.42559i −0.122220 + 0.267624i
\(412\) 19.7907 2.84547i 0.975017 0.140186i
\(413\) 39.3700i 1.93727i
\(414\) −4.64348 1.19922i −0.228214 0.0589383i
\(415\) 28.6157 + 12.9717i 1.40469 + 0.636756i
\(416\) 0.508327 + 3.53549i 0.0249228 + 0.173342i
\(417\) −7.69193 3.51279i −0.376675 0.172022i
\(418\) −0.0310751 0.105832i −0.00151993 0.00517642i
\(419\) −20.9279 + 24.1521i −1.02240 + 1.17991i −0.0388521 + 0.999245i \(0.512370\pi\)
−0.983545 + 0.180664i \(0.942175\pi\)
\(420\) 6.67931 7.75207i 0.325917 0.378262i
\(421\) 25.0834 16.1201i 1.22249 0.785646i 0.239784 0.970826i \(-0.422923\pi\)
0.982705 + 0.185181i \(0.0592870\pi\)
\(422\) 9.73755 4.44699i 0.474016 0.216476i
\(423\) −0.695935 + 0.603031i −0.0338375 + 0.0293204i
\(424\) −6.33977 4.07432i −0.307887 0.197867i
\(425\) 7.91529 + 12.1662i 0.383948 + 0.590146i
\(426\) −1.86038 + 12.9392i −0.0901356 + 0.626907i
\(427\) −16.3302 + 25.4102i −0.790272 + 1.22969i
\(428\) −6.65779 + 5.76901i −0.321816 + 0.278856i
\(429\) 0.0220050 + 0.0481842i 0.00106241 + 0.00232635i
\(430\) 2.36784 + 16.1477i 0.114187 + 0.778714i
\(431\) 6.31202 + 1.85338i 0.304040 + 0.0892741i 0.430194 0.902737i \(-0.358445\pi\)
−0.126154 + 0.992011i \(0.540263\pi\)
\(432\) 0.755750 + 0.654861i 0.0363610 + 0.0315070i
\(433\) −0.0310993 0.105915i −0.00149454 0.00508993i 0.958742 0.284277i \(-0.0917534\pi\)
−0.960237 + 0.279187i \(0.909935\pi\)
\(434\) −5.71487 + 12.5138i −0.274322 + 0.600682i
\(435\) −4.20873 + 14.4834i −0.201793 + 0.694427i
\(436\) 6.97209 0.333903
\(437\) 26.1750 24.2315i 1.25212 1.15915i
\(438\) 4.79461i 0.229095i
\(439\) 0.254332 + 1.76892i 0.0121386 + 0.0844258i 0.994990 0.0999725i \(-0.0318755\pi\)
−0.982852 + 0.184398i \(0.940966\pi\)
\(440\) 0.0250007 0.0217860i 0.00119186 0.00103861i
\(441\) −13.3768 + 3.92779i −0.636992 + 0.187038i
\(442\) 7.83609 + 6.79001i 0.372725 + 0.322968i
\(443\) −6.99475 + 23.8219i −0.332331 + 1.13181i 0.608674 + 0.793421i \(0.291702\pi\)
−0.941005 + 0.338394i \(0.890116\pi\)
\(444\) −2.81053 + 1.80622i −0.133382 + 0.0857193i
\(445\) −21.2310 + 0.0594156i −1.00645 + 0.00281657i
\(446\) −10.4886 12.1045i −0.496650 0.573165i
\(447\) 4.46595 6.94916i 0.211232 0.328684i
\(448\) −4.52962 0.651260i −0.214004 0.0307692i
\(449\) −3.39760 + 23.6308i −0.160343 + 1.11521i 0.737645 + 0.675188i \(0.235938\pi\)
−0.897988 + 0.440020i \(0.854971\pi\)
\(450\) 4.94505 0.739263i 0.233112 0.0348492i
\(451\) −0.0353210 0.0407626i −0.00166320 0.00191944i
\(452\) −18.2532 + 8.33598i −0.858560 + 0.392091i
\(453\) −0.414791 0.645427i −0.0194886 0.0303248i
\(454\) −22.4005 6.57737i −1.05131 0.308691i
\(455\) −15.2762 33.2040i −0.716160 1.55663i
\(456\) −7.13628 + 2.09540i −0.334187 + 0.0981262i
\(457\) 5.85944 + 2.67591i 0.274093 + 0.125174i 0.547720 0.836662i \(-0.315496\pi\)
−0.273627 + 0.961836i \(0.588223\pi\)
\(458\) −9.62710 + 1.38417i −0.449845 + 0.0646780i
\(459\) 2.90288 0.135495
\(460\) 9.90735 + 4.10420i 0.461932 + 0.191359i
\(461\) −10.1128 −0.470998 −0.235499 0.971875i \(-0.575672\pi\)
−0.235499 + 0.971875i \(0.575672\pi\)
\(462\) −0.0671749 + 0.00965829i −0.00312526 + 0.000449344i
\(463\) 9.79466 + 4.47307i 0.455196 + 0.207881i 0.629800 0.776758i \(-0.283137\pi\)
−0.174603 + 0.984639i \(0.555864\pi\)
\(464\) 6.47189 1.90032i 0.300450 0.0882201i
\(465\) −6.10679 + 2.80956i −0.283196 + 0.130290i
\(466\) 4.45169 + 1.30713i 0.206221 + 0.0605518i
\(467\) −17.5752 27.3475i −0.813283 1.26549i −0.961023 0.276467i \(-0.910836\pi\)
0.147741 0.989026i \(-0.452800\pi\)
\(468\) 3.24907 1.48380i 0.150188 0.0685886i
\(469\) −16.0390 18.5100i −0.740611 0.854711i
\(470\) 1.72910 1.11807i 0.0797572 0.0515728i
\(471\) 2.78986 19.4039i 0.128550 0.894084i
\(472\) −8.51564 1.22436i −0.391964 0.0563560i
\(473\) 0.0585196 0.0910582i 0.00269073 0.00418686i
\(474\) 10.4345 + 12.0420i 0.479270 + 0.553108i
\(475\) −15.2588 + 33.9131i −0.700121 + 1.55604i
\(476\) −11.1753 + 7.18194i −0.512220 + 0.329184i
\(477\) −2.12317 + 7.23084i −0.0972130 + 0.331077i
\(478\) −18.3073 15.8634i −0.837357 0.725574i
\(479\) 12.4206 3.64701i 0.567511 0.166636i 0.0146250 0.999893i \(-0.495345\pi\)
0.552886 + 0.833257i \(0.313526\pi\)
\(480\) −1.46904 1.68580i −0.0670520 0.0769460i
\(481\) 1.69826 + 11.8117i 0.0774340 + 0.538565i
\(482\) 12.4415i 0.566696i
\(483\) −12.4655 18.0629i −0.567199 0.821889i
\(484\) 10.9998 0.499990
\(485\) −4.01093 + 13.8027i −0.182127 + 0.626750i
\(486\) 0.415415 0.909632i 0.0188436 0.0412617i
\(487\) −2.69127 9.16562i −0.121953 0.415334i 0.875774 0.482722i \(-0.160352\pi\)
−0.997727 + 0.0673877i \(0.978534\pi\)
\(488\) 4.98833 + 4.32241i 0.225811 + 0.195666i
\(489\) −10.3544 3.04033i −0.468243 0.137489i
\(490\) 30.8444 4.52290i 1.39341 0.204324i
\(491\) −5.76985 12.6342i −0.260390 0.570174i 0.733608 0.679573i \(-0.237835\pi\)
−0.993998 + 0.109399i \(0.965107\pi\)
\(492\) −2.74863 + 2.38170i −0.123918 + 0.107375i
\(493\) 10.5859 16.4719i 0.476764 0.741859i
\(494\) −3.78071 + 26.2954i −0.170102 + 1.18309i
\(495\) −0.0279471 0.0178502i −0.00125613 0.000802306i
\(496\) 2.52899 + 1.62528i 0.113555 + 0.0729772i
\(497\) −45.2099 + 39.1746i −2.02794 + 1.75722i
\(498\) −12.7811 + 5.83692i −0.572733 + 0.261558i
\(499\) 23.7810 15.2831i 1.06458 0.684167i 0.113638 0.993522i \(-0.463750\pi\)
0.950947 + 0.309355i \(0.100113\pi\)
\(500\) −11.1799 + 0.0938643i −0.499982 + 0.00419774i
\(501\) −8.59143 + 9.91504i −0.383837 + 0.442971i
\(502\) −1.94020 6.60771i −0.0865954 0.294917i
\(503\) 9.64950 + 4.40678i 0.430250 + 0.196489i 0.618756 0.785584i \(-0.287637\pi\)
−0.188506 + 0.982072i \(0.560364\pi\)
\(504\) 0.651260 + 4.52962i 0.0290094 + 0.201765i
\(505\) 6.93460 15.2978i 0.308586 0.680744i
\(506\) −0.0316553 0.0636900i −0.00140725 0.00283136i
\(507\) 0.241908i 0.0107435i
\(508\) −2.82813 + 0.406624i −0.125478 + 0.0180410i
\(509\) −13.2120 + 28.9303i −0.585613 + 1.28231i 0.352444 + 0.935833i \(0.385351\pi\)
−0.938057 + 0.346481i \(0.887376\pi\)
\(510\) −6.42752 0.905786i −0.284615 0.0401089i
\(511\) −14.3683 + 16.5820i −0.635618 + 0.733542i
\(512\) −0.281733 + 0.959493i −0.0124509 + 0.0424040i
\(513\) 4.02105 + 6.25687i 0.177534 + 0.276248i
\(514\) 0.320723 + 0.702285i 0.0141465 + 0.0309765i
\(515\) 12.7158 + 42.8620i 0.560325 + 1.88872i
\(516\) −6.14007 3.94599i −0.270302 0.173712i
\(517\) −0.0135174 0.00194351i −0.000594495 8.54754e-5i
\(518\) −15.1329 2.17578i −0.664902 0.0955985i
\(519\) −10.4737 6.73106i −0.459746 0.295461i
\(520\) −7.65704 + 2.27161i −0.335783 + 0.0996165i
\(521\) 4.17760 + 9.14766i 0.183024 + 0.400766i 0.978798 0.204827i \(-0.0656631\pi\)
−0.795774 + 0.605593i \(0.792936\pi\)
\(522\) −3.64669 5.67435i −0.159611 0.248360i
\(523\) −3.99855 + 13.6178i −0.174844 + 0.595465i 0.824708 + 0.565558i \(0.191339\pi\)
−0.999553 + 0.0299067i \(0.990479\pi\)
\(524\) 3.49924 4.03834i 0.152865 0.176416i
\(525\) 19.3176 + 12.2625i 0.843091 + 0.535178i
\(526\) −0.805570 + 1.76395i −0.0351245 + 0.0769120i
\(527\) 8.63783 1.24193i 0.376270 0.0540994i
\(528\) 0.0148302i 0.000645400i
\(529\) 13.8876 18.3340i 0.603810 0.797128i
\(530\) 6.95733 15.3480i 0.302207 0.666672i
\(531\) 1.22436 + 8.51564i 0.0531329 + 0.369547i
\(532\) −30.9600 14.1389i −1.34228 0.613001i
\(533\) 3.65989 + 12.4645i 0.158528 + 0.539895i
\(534\) 6.21779 7.17571i 0.269070 0.310523i
\(535\) −14.9233 12.8582i −0.645191 0.555908i
\(536\) −4.50246 + 2.89356i −0.194477 + 0.124983i
\(537\) −10.2218 + 4.66815i −0.441105 + 0.201446i
\(538\) −3.89321 + 3.37349i −0.167848 + 0.145441i
\(539\) −0.173934 0.111780i −0.00749186 0.00481472i
\(540\) −1.20364 + 1.88448i −0.0517964 + 0.0810949i
\(541\) −0.943040 + 6.55899i −0.0405445 + 0.281993i 0.959456 + 0.281860i \(0.0909514\pi\)
−1.00000 0.000132901i \(0.999958\pi\)
\(542\) −4.24544 + 6.60603i −0.182357 + 0.283753i
\(543\) 11.1849 9.69173i 0.479988 0.415912i
\(544\) 1.20590 + 2.64055i 0.0517025 + 0.113213i
\(545\) 2.26187 + 15.4251i 0.0968881 + 0.660739i
\(546\) 15.6834 + 4.60505i 0.671186 + 0.197078i
\(547\) 19.6822 + 17.0547i 0.841550 + 0.729207i 0.964748 0.263175i \(-0.0847697\pi\)
−0.123198 + 0.992382i \(0.539315\pi\)
\(548\) 1.68042 + 5.72299i 0.0717840 + 0.244474i
\(549\) 2.74195 6.00403i 0.117024 0.256246i
\(550\) 0.0563103 + 0.0482440i 0.00240108 + 0.00205713i
\(551\) 50.1672 2.13719
\(552\) −4.29463 + 2.13452i −0.182791 + 0.0908513i
\(553\) 72.9164i 3.10072i
\(554\) −0.121682 0.846317i −0.00516977 0.0359566i
\(555\) −4.90788 5.63207i −0.208328 0.239068i
\(556\) −8.11356 + 2.38236i −0.344092 + 0.101034i
\(557\) 8.62103 + 7.47017i 0.365285 + 0.316521i 0.818092 0.575087i \(-0.195032\pi\)
−0.452807 + 0.891609i \(0.649577\pi\)
\(558\) 0.846947 2.88444i 0.0358541 0.122108i
\(559\) −21.9314 + 14.0945i −0.927599 + 0.596132i
\(560\) −0.0286364 10.2326i −0.00121011 0.432408i
\(561\) 0.0281918 + 0.0325351i 0.00119026 + 0.00137363i
\(562\) 10.4080 16.1952i 0.439036 0.683153i
\(563\) 22.9603 + 3.30119i 0.967662 + 0.139129i 0.607985 0.793948i \(-0.291978\pi\)
0.359677 + 0.933077i \(0.382887\pi\)
\(564\) −0.131051 + 0.911481i −0.00551825 + 0.0383803i
\(565\) −24.3643 37.6793i −1.02501 1.58518i
\(566\) −6.70565 7.73873i −0.281860 0.325283i
\(567\) 4.16265 1.90102i 0.174815 0.0798353i
\(568\) 7.06740 + 10.9971i 0.296542 + 0.461428i
\(569\) −21.0427 6.17871i −0.882158 0.259025i −0.190879 0.981614i \(-0.561134\pi\)
−0.691278 + 0.722589i \(0.742952\pi\)
\(570\) −6.95103 15.1086i −0.291146 0.632829i
\(571\) −21.7226 + 6.37833i −0.909062 + 0.266925i −0.702646 0.711539i \(-0.747998\pi\)
−0.206416 + 0.978464i \(0.566180\pi\)
\(572\) 0.0481842 + 0.0220050i 0.00201468 + 0.000920074i
\(573\) −2.78587 + 0.400547i −0.116381 + 0.0167331i
\(574\) −16.6434 −0.694684
\(575\) −5.86604 + 23.2506i −0.244631 + 0.969616i
\(576\) 1.00000 0.0416667
\(577\) −7.34368 + 1.05586i −0.305721 + 0.0439561i −0.293468 0.955969i \(-0.594809\pi\)
−0.0122531 + 0.999925i \(0.503900\pi\)
\(578\) −7.79856 3.56148i −0.324377 0.148138i
\(579\) −20.3001 + 5.96066i −0.843645 + 0.247716i
\(580\) 6.30388 + 13.7020i 0.261754 + 0.568943i
\(581\) −61.6946 18.1152i −2.55953 0.751544i
\(582\) −3.47530 5.40767i −0.144056 0.224155i
\(583\) −0.101662 + 0.0464274i −0.00421040 + 0.00192283i
\(584\) 3.13980 + 3.62352i 0.129926 + 0.149942i
\(585\) 4.33683 + 6.70689i 0.179306 + 0.277296i
\(586\) 2.42700 16.8802i 0.100259 0.697314i
\(587\) −7.58031 1.08988i −0.312873 0.0449843i −0.0159101 0.999873i \(-0.505065\pi\)
−0.296963 + 0.954889i \(0.595974\pi\)
\(588\) −7.53737 + 11.7284i −0.310836 + 0.483670i
\(589\) 14.6419 + 16.8977i 0.603310 + 0.696257i
\(590\) −0.0538362 19.2373i −0.00221640 0.791987i
\(591\) −19.4914 + 12.5263i −0.801767 + 0.515264i
\(592\) −0.941236 + 3.20555i −0.0386845 + 0.131747i
\(593\) −24.3459 21.0959i −0.999768 0.866304i −0.00874074 0.999962i \(-0.502782\pi\)
−0.991028 + 0.133658i \(0.957328\pi\)
\(594\) 0.0142294 0.00417814i 0.000583841 0.000171431i
\(595\) −19.5149 22.3944i −0.800032 0.918082i
\(596\) −1.17559 8.17640i −0.0481540 0.334919i
\(597\) 18.3455i 0.750831i
\(598\) 0.562845 + 17.1207i 0.0230165 + 0.700119i
\(599\) −8.02915 −0.328062 −0.164031 0.986455i \(-0.552450\pi\)
−0.164031 + 0.986455i \(0.552450\pi\)
\(600\) 3.25310 3.79702i 0.132807 0.155012i
\(601\) −12.0305 + 26.3431i −0.490734 + 1.07456i 0.488637 + 0.872487i \(0.337494\pi\)
−0.979371 + 0.202070i \(0.935233\pi\)
\(602\) −9.40997 32.0474i −0.383522 1.30615i
\(603\) 4.04484 + 3.50487i 0.164719 + 0.142729i
\(604\) −0.736143 0.216151i −0.0299532 0.00879506i
\(605\) 3.56853 + 24.3360i 0.145081 + 0.989400i
\(606\) 3.12038 + 6.83269i 0.126757 + 0.277559i
\(607\) 31.6462 27.4216i 1.28448 1.11301i 0.297064 0.954858i \(-0.403993\pi\)
0.987415 0.158150i \(-0.0505529\pi\)
\(608\) −4.02105 + 6.25687i −0.163075 + 0.253750i
\(609\) 4.39283 30.5528i 0.178006 1.23806i
\(610\) −7.94464 + 12.4385i −0.321669 + 0.503620i
\(611\) 2.76701 + 1.77825i 0.111941 + 0.0719402i
\(612\) 2.19385 1.90098i 0.0886810 0.0768425i
\(613\) 36.4567 16.6492i 1.47247 0.672455i 0.492266 0.870445i \(-0.336169\pi\)
0.980204 + 0.197990i \(0.0634413\pi\)
\(614\) 24.1859 15.5433i 0.976063 0.627277i
\(615\) −6.16101 5.30843i −0.248436 0.214056i
\(616\) −0.0444426 + 0.0512895i −0.00179064 + 0.00206651i
\(617\) −10.7674 36.6703i −0.433478 1.47629i −0.829738 0.558152i \(-0.811510\pi\)
0.396260 0.918138i \(-0.370308\pi\)
\(618\) −18.1874 8.30589i −0.731603 0.334112i
\(619\) −3.82211 26.5833i −0.153623 1.06847i −0.910081 0.414431i \(-0.863981\pi\)
0.756457 0.654043i \(-0.226929\pi\)
\(620\) −2.77533 + 6.12242i −0.111460 + 0.245882i
\(621\) 3.25800 + 3.51930i 0.130739 + 0.141225i
\(622\) 4.78711i 0.191946i
\(623\) 43.0079 6.18360i 1.72307 0.247741i
\(624\) 1.48380 3.24907i 0.0593995 0.130067i
\(625\) −3.83465 24.7042i −0.153386 0.988166i
\(626\) 12.6882 14.6429i 0.507122 0.585250i
\(627\) −0.0310751 + 0.105832i −0.00124102 + 0.00422653i
\(628\) −10.5984 16.4914i −0.422923 0.658080i
\(629\) 4.02877 + 8.82177i 0.160637 + 0.351747i
\(630\) −9.81008 + 2.91034i −0.390843 + 0.115951i
\(631\) −21.2884 13.6813i −0.847480 0.544642i 0.0433081 0.999062i \(-0.486210\pi\)
−0.890788 + 0.454420i \(0.849847\pi\)
\(632\) 15.7717 + 2.26762i 0.627363 + 0.0902012i
\(633\) −10.5960 1.52347i −0.421152 0.0605525i
\(634\) −5.58285 3.58788i −0.221723 0.142493i
\(635\) −1.81712 6.12507i −0.0721101 0.243066i
\(636\) 3.13061 + 6.85508i 0.124137 + 0.271822i
\(637\) 26.9223 + 41.8920i 1.06670 + 1.65982i
\(638\) 0.0281820 0.0959792i 0.00111574 0.00379985i
\(639\) 8.56052 9.87937i 0.338649 0.390822i
\(640\) −2.21419 0.312030i −0.0875235 0.0123341i
\(641\) 7.65167 16.7548i 0.302223 0.661775i −0.696204 0.717844i \(-0.745129\pi\)
0.998427 + 0.0560684i \(0.0178565\pi\)
\(642\) 8.71985 1.25373i 0.344145 0.0494806i
\(643\) 48.9713i 1.93124i 0.259956 + 0.965621i \(0.416292\pi\)
−0.259956 + 0.965621i \(0.583708\pi\)
\(644\) −21.2495 5.48785i −0.837346 0.216252i
\(645\) 6.73818 14.8645i 0.265316 0.585289i
\(646\) 3.07262 + 21.3705i 0.120891 + 0.840813i
\(647\) −29.5217 13.4821i −1.16062 0.530035i −0.260409 0.965498i \(-0.583857\pi\)
−0.900207 + 0.435463i \(0.856585\pi\)
\(648\) −0.281733 0.959493i −0.0110675 0.0376924i
\(649\) −0.0835517 + 0.0964238i −0.00327969 + 0.00378496i
\(650\) −7.50980 16.2036i −0.294559 0.635556i
\(651\) 11.5731 7.43760i 0.453587 0.291502i
\(652\) −9.81635 + 4.48298i −0.384438 + 0.175567i
\(653\) −2.13136 + 1.84684i −0.0834066 + 0.0722722i −0.695566 0.718462i \(-0.744846\pi\)
0.612160 + 0.790734i \(0.290301\pi\)
\(654\) −5.86530 3.76940i −0.229351 0.147395i
\(655\) 10.0697 + 6.43164i 0.393455 + 0.251305i
\(656\) −0.517593 + 3.59994i −0.0202086 + 0.140554i
\(657\) 2.59216 4.03348i 0.101130 0.157361i
\(658\) −3.18473 + 2.75959i −0.124154 + 0.107580i
\(659\) 5.49972 + 12.0427i 0.214239 + 0.469117i 0.985989 0.166808i \(-0.0533459\pi\)
−0.771751 + 0.635925i \(0.780619\pi\)
\(660\) −0.0328104 + 0.00481118i −0.00127714 + 0.000187275i
\(661\) −41.1214 12.0743i −1.59944 0.469637i −0.644048 0.764985i \(-0.722746\pi\)
−0.955390 + 0.295348i \(0.904564\pi\)
\(662\) 7.49288 + 6.49261i 0.291219 + 0.252343i
\(663\) −2.92118 9.94863i −0.113449 0.386373i
\(664\) −5.83692 + 12.7811i −0.226516 + 0.496001i
\(665\) 21.2371 73.0830i 0.823541 2.83404i
\(666\) 3.34088 0.129457
\(667\) 31.8506 5.65324i 1.23326 0.218894i
\(668\) 13.1195i 0.507608i
\(669\) 2.27939 + 15.8535i 0.0881265 + 0.612933i
\(670\) −7.86242 9.02257i −0.303752 0.348572i
\(671\) 0.0939214 0.0275778i 0.00362580 0.00106463i
\(672\) 3.45846 + 2.99677i 0.133413 + 0.115603i
\(673\) 6.73450 22.9356i 0.259596 0.884102i −0.721799 0.692103i \(-0.756685\pi\)
0.981395 0.192000i \(-0.0614973\pi\)
\(674\) −3.90427 + 2.50912i −0.150387 + 0.0966478i
\(675\) −4.55971 2.05159i −0.175503 0.0789656i
\(676\) 0.158416 + 0.182822i 0.00609294 + 0.00703162i
\(677\) −18.4622 + 28.7278i −0.709560 + 1.10410i 0.280003 + 0.959999i \(0.409665\pi\)
−0.989563 + 0.144098i \(0.953972\pi\)
\(678\) 19.8624 + 2.85578i 0.762810 + 0.109675i
\(679\) 4.18637 29.1169i 0.160658 1.11740i
\(680\) −5.45076 + 3.52458i −0.209027 + 0.135162i
\(681\) 15.2885 + 17.6438i 0.585856 + 0.676113i
\(682\) 0.0405537 0.0185203i 0.00155288 0.000709178i
\(683\) 21.4148 + 33.3221i 0.819416 + 1.27504i 0.958596 + 0.284769i \(0.0919169\pi\)
−0.139180 + 0.990267i \(0.544447\pi\)
\(684\) 7.13628 + 2.09540i 0.272863 + 0.0801197i
\(685\) −12.1164 + 5.57442i −0.462945 + 0.212988i
\(686\) −30.4792 + 8.94949i −1.16370 + 0.341693i
\(687\) 8.84717 + 4.04037i 0.337541 + 0.154150i
\(688\) −7.22443 + 1.03872i −0.275429 + 0.0396007i
\(689\) 26.9178 1.02549
\(690\) −6.11569 8.80899i −0.232820 0.335353i
\(691\) −23.4616 −0.892522 −0.446261 0.894903i \(-0.647245\pi\)
−0.446261 + 0.894903i \(0.647245\pi\)
\(692\) −12.3234 + 1.77184i −0.468467 + 0.0673553i
\(693\) 0.0617328 + 0.0281924i 0.00234503 + 0.00107094i
\(694\) 2.45881 0.721973i 0.0933353 0.0274057i
\(695\) −7.90293 17.1776i −0.299775 0.651585i
\(696\) −6.47189 1.90032i −0.245316 0.0720314i
\(697\) 5.70789 + 8.88166i 0.216202 + 0.336417i
\(698\) 10.8083 4.93599i 0.409101 0.186830i
\(699\) −3.03831 3.50640i −0.114919 0.132624i
\(700\) 22.6295 3.38301i 0.855315 0.127866i
\(701\) 1.61932 11.2626i 0.0611608 0.425382i −0.936120 0.351682i \(-0.885610\pi\)
0.997280 0.0737007i \(-0.0234810\pi\)
\(702\) −3.53549 0.508327i −0.133439 0.0191856i
\(703\) −13.4338 + 20.9035i −0.506667 + 0.788389i
\(704\) 0.00971169 + 0.0112079i 0.000366023 + 0.000422413i
\(705\) −2.05908 + 0.00576241i −0.0775496 + 0.000217025i
\(706\) −7.15532 + 4.59844i −0.269294 + 0.173065i
\(707\) −9.68428 + 32.9816i −0.364215 + 1.24040i
\(708\) 6.50187 + 5.63391i 0.244355 + 0.211735i
\(709\) 31.2658 9.18047i 1.17421 0.344780i 0.364272 0.931292i \(-0.381318\pi\)
0.809940 + 0.586513i \(0.199500\pi\)
\(710\) −22.0373 + 19.2036i −0.827044 + 0.720700i
\(711\) −2.26762 15.7717i −0.0850425 0.591484i
\(712\) 9.49482i 0.355834i
\(713\) 11.2002 + 9.07820i 0.419450 + 0.339981i
\(714\) 13.2841 0.497146
\(715\) −0.0330522 + 0.113742i −0.00123608 + 0.00425370i
\(716\) −4.66815 + 10.2218i −0.174457 + 0.382008i
\(717\) 6.82470 + 23.2428i 0.254873 + 0.868018i
\(718\) −3.88882 3.36968i −0.145130 0.125755i
\(719\) 8.90966 + 2.61611i 0.332274 + 0.0975645i 0.443614 0.896218i \(-0.353696\pi\)
−0.111340 + 0.993782i \(0.535514\pi\)
\(720\) 0.324418 + 2.21241i 0.0120904 + 0.0824516i
\(721\) −38.0094 83.2289i −1.41554 3.09961i
\(722\) −27.4467 + 23.7827i −1.02146 + 0.885101i
\(723\) −6.72639 + 10.4665i −0.250157 + 0.389252i
\(724\) 2.10621 14.6490i 0.0782768 0.544427i
\(725\) −28.2693 + 18.3919i −1.04989 + 0.683059i
\(726\) −9.25360 5.94693i −0.343433 0.220711i
\(727\) −33.3710 + 28.9161i −1.23766 + 1.07244i −0.242917 + 0.970047i \(0.578104\pi\)
−0.994744 + 0.102392i \(0.967350\pi\)
\(728\) 14.8684 6.79015i 0.551058 0.251660i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −6.99811 + 8.12206i −0.259012 + 0.300611i
\(731\) −13.8747 + 16.0123i −0.513175 + 0.592235i
\(732\) −1.85958 6.33314i −0.0687320 0.234080i
\(733\) 35.4262 + 16.1786i 1.30850 + 0.597570i 0.942861 0.333188i \(-0.108124\pi\)
0.365636 + 0.930758i \(0.380852\pi\)
\(734\) 3.58578 + 24.9397i 0.132354 + 0.920540i
\(735\) −28.3932 12.8708i −1.04730 0.474748i
\(736\) −1.84785 + 4.42555i −0.0681125 + 0.163128i
\(737\) 0.0793723i 0.00292372i
\(738\) 3.59994 0.517593i 0.132516 0.0190529i
\(739\) −11.0207 + 24.1319i −0.405403 + 0.887708i 0.591291 + 0.806458i \(0.298618\pi\)
−0.996694 + 0.0812498i \(0.974109\pi\)
\(740\) −7.39735 1.04246i −0.271932 0.0383215i
\(741\) 17.3969 20.0771i 0.639091 0.737551i
\(742\) −9.71602 + 33.0897i −0.356686 + 1.21476i
\(743\) 11.8932 + 18.5062i 0.436320 + 0.678927i 0.987882 0.155207i \(-0.0496043\pi\)
−0.551562 + 0.834134i \(0.685968\pi\)
\(744\) −1.24883 2.73455i −0.0457841 0.100253i
\(745\) 17.7082 5.25346i 0.648777 0.192472i
\(746\) −14.8820 9.56408i −0.544869 0.350166i
\(747\) 13.9078 + 1.99964i 0.508859 + 0.0731629i
\(748\) 0.0426119 + 0.00612667i 0.00155805 + 0.000224013i
\(749\) 33.9144 + 21.7954i 1.23920 + 0.796388i
\(750\) 9.45592 + 5.96537i 0.345281 + 0.217825i
\(751\) −11.5407 25.2706i −0.421126 0.922137i −0.994684 0.102972i \(-0.967165\pi\)
0.573559 0.819165i \(-0.305562\pi\)
\(752\) 0.497851 + 0.774671i 0.0181548 + 0.0282494i
\(753\) −1.94020 + 6.60771i −0.0707048 + 0.240798i
\(754\) −15.7772 + 18.2079i −0.574573 + 0.663093i
\(755\) 0.239396 1.69877i 0.00871252 0.0618246i
\(756\) 1.90102 4.16265i 0.0691394 0.151394i
\(757\) 31.5746 4.53974i 1.14760 0.164999i 0.457836 0.889037i \(-0.348625\pi\)
0.689761 + 0.724037i \(0.257716\pi\)
\(758\) 31.4950i 1.14395i
\(759\) −0.00780326 + 0.0706936i −0.000283240 + 0.00256601i
\(760\) −15.1473 6.86635i −0.549449 0.249069i
\(761\) −7.21184 50.1594i −0.261429 1.81828i −0.522138 0.852861i \(-0.674866\pi\)
0.260709 0.965417i \(-0.416044\pi\)
\(762\) 2.59901 + 1.18693i 0.0941524 + 0.0429980i
\(763\) −8.98886 30.6132i −0.325418 1.10827i
\(764\) −1.84312 + 2.12707i −0.0666816 + 0.0769547i
\(765\) 4.91747 + 4.23697i 0.177791 + 0.153188i
\(766\) 29.4209 18.9077i 1.06302 0.683161i
\(767\) 27.9524 12.7654i 1.00930 0.460933i
\(768\) 0.755750 0.654861i 0.0272708 0.0236303i
\(769\) 21.4845 + 13.8072i 0.774749 + 0.497901i 0.867287 0.497808i \(-0.165862\pi\)
−0.0925380 + 0.995709i \(0.529498\pi\)
\(770\) −0.127891 0.0816859i −0.00460888 0.00294375i
\(771\) 0.109875 0.764196i 0.00395704 0.0275218i
\(772\) −11.4384 + 17.7985i −0.411678 + 0.640583i
\(773\) 20.7981 18.0217i 0.748057 0.648195i −0.195009 0.980802i \(-0.562473\pi\)