Properties

Label 230.2.l.a.203.3
Level $230$
Weight $2$
Character 230.203
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
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 203.3
Character \(\chi\) \(=\) 230.203
Dual form 230.2.l.a.17.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +O(q^{10})\) \(q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +(2.11560 - 0.724045i) q^{10} +(1.38662 + 0.633249i) q^{11} +(-0.225050 - 0.603382i) q^{12} +(3.84199 - 2.87608i) q^{13} +(-2.55652 + 1.64298i) q^{14} +(1.41491 - 0.267637i) q^{15} +(0.142315 + 0.989821i) q^{16} +(0.428269 - 5.98798i) q^{17} +(0.549541 + 2.52620i) q^{18} +(-0.682687 + 0.787863i) q^{19} +(-2.23524 - 0.0609327i) q^{20} +(-1.78018 + 0.812983i) q^{21} +(-1.07790 - 1.07790i) q^{22} +(-2.30796 - 4.20396i) q^{23} +0.643986i q^{24} +(0.980143 - 4.90299i) q^{25} +(-4.60484 + 1.35210i) q^{26} +(0.256596 + 3.58768i) q^{27} +(2.96950 - 0.645974i) q^{28} +(-0.893636 + 0.774340i) q^{29} +(-1.41923 - 0.243697i) q^{30} +(0.384033 + 0.112762i) q^{31} +(0.212565 - 0.977147i) q^{32} +(-0.588297 - 0.785873i) q^{33} +(-2.49385 + 5.46077i) q^{34} +(0.299891 + 6.78867i) q^{35} +(0.367924 - 2.55897i) q^{36} +(-1.28246 - 0.278981i) q^{37} +(0.914973 - 0.499613i) q^{38} +(-3.05919 + 0.439844i) q^{39} +(2.07301 + 0.838226i) q^{40} +(8.30875 + 5.33971i) q^{41} +(1.95205 - 0.139614i) q^{42} +(3.57839 - 6.55334i) q^{43} +(0.633249 + 1.38662i) q^{44} +(5.50026 + 1.77920i) q^{45} +(0.693312 + 4.74545i) q^{46} +(-8.35033 + 8.35033i) q^{47} +(0.225050 - 0.603382i) q^{48} +(-0.629726 - 2.14465i) q^{49} +(-2.63176 + 4.25133i) q^{50} +(-2.09013 + 3.25231i) q^{51} +(4.78701 + 0.342374i) q^{52} +(7.94381 + 5.94666i) q^{53} +(1.01335 - 3.45115i) q^{54} +(-3.29549 + 0.870837i) q^{55} +(-3.00801 - 0.432487i) q^{56} +(0.629021 - 0.234613i) q^{57} +(1.10790 - 0.413224i) q^{58} +(-7.59217 - 1.09159i) q^{59} +(1.24458 + 0.724300i) q^{60} +(0.961272 - 3.27379i) q^{61} +(-0.320413 - 0.239859i) q^{62} +(-7.83652 - 0.560479i) q^{63} +(-0.540641 + 0.841254i) q^{64} +(-2.56603 + 10.4201i) q^{65} +(0.276570 + 0.941912i) q^{66} +(-4.22193 + 11.3194i) q^{67} +(4.24495 - 4.24495i) q^{68} +(0.00702364 + 3.08844i) q^{69} +(2.09141 - 6.46544i) q^{70} +(-0.865969 - 1.89621i) q^{71} +(-1.23899 + 2.26905i) q^{72} +(0.260594 - 0.0186380i) q^{73} +(1.10410 + 0.709564i) q^{74} +(-2.06720 + 2.46873i) q^{75} +(-1.03188 + 0.148362i) q^{76} +(4.06584 - 2.22012i) q^{77} +(3.02001 + 0.656964i) q^{78} +(0.108205 - 0.752579i) q^{79} +(-1.64938 - 1.50982i) q^{80} +(-2.25966 + 4.94797i) q^{81} +(-5.91884 - 7.90665i) q^{82} +(1.22112 - 5.61340i) q^{83} +(-1.87776 - 0.551361i) q^{84} +(7.74872 + 10.9615i) q^{85} +(-5.64293 + 4.88963i) q^{86} +(0.744078 - 0.161864i) q^{87} +(-0.108748 - 1.52049i) q^{88} +(3.11654 - 0.915098i) q^{89} +(-4.53170 - 3.58917i) q^{90} -14.5846i q^{91} +(1.00877 - 4.68854i) q^{92} +(-0.182259 - 0.182259i) q^{93} +(10.7420 - 4.90570i) q^{94} +(0.0635218 - 2.33022i) q^{95} +(-0.421721 + 0.486692i) q^{96} +(-3.03964 - 13.9730i) q^{97} +(-0.159457 + 2.22950i) q^{98} +(-0.560854 - 3.90083i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.936950 0.349464i −0.662524 0.247108i
\(3\) −0.565213 0.308630i −0.326326 0.178187i 0.307732 0.951473i \(-0.400430\pi\)
−0.634058 + 0.773286i \(0.718612\pi\)
\(4\) 0.755750 + 0.654861i 0.377875 + 0.327430i
\(5\) −1.72918 + 1.41772i −0.773314 + 0.634023i
\(6\) 0.421721 + 0.486692i 0.172167 + 0.198691i
\(7\) 1.82117 2.43280i 0.688338 0.919513i −0.311186 0.950349i \(-0.600726\pi\)
0.999524 + 0.0308365i \(0.00981712\pi\)
\(8\) −0.479249 0.877679i −0.169440 0.310306i
\(9\) −1.39771 2.17488i −0.465903 0.724959i
\(10\) 2.11560 0.724045i 0.669011 0.228963i
\(11\) 1.38662 + 0.633249i 0.418082 + 0.190932i 0.613338 0.789821i \(-0.289826\pi\)
−0.195256 + 0.980752i \(0.562554\pi\)
\(12\) −0.225050 0.603382i −0.0649663 0.174181i
\(13\) 3.84199 2.87608i 1.06558 0.797680i 0.0855073 0.996338i \(-0.472749\pi\)
0.980069 + 0.198657i \(0.0636580\pi\)
\(14\) −2.55652 + 1.64298i −0.683260 + 0.439104i
\(15\) 1.41491 0.267637i 0.365327 0.0691035i
\(16\) 0.142315 + 0.989821i 0.0355787 + 0.247455i
\(17\) 0.428269 5.98798i 0.103870 1.45230i −0.631891 0.775057i \(-0.717721\pi\)
0.735762 0.677241i \(-0.236824\pi\)
\(18\) 0.549541 + 2.52620i 0.129528 + 0.595431i
\(19\) −0.682687 + 0.787863i −0.156619 + 0.180748i −0.828636 0.559788i \(-0.810883\pi\)
0.672017 + 0.740536i \(0.265428\pi\)
\(20\) −2.23524 0.0609327i −0.499814 0.0136250i
\(21\) −1.78018 + 0.812983i −0.388468 + 0.177407i
\(22\) −1.07790 1.07790i −0.229808 0.229808i
\(23\) −2.30796 4.20396i −0.481244 0.876587i
\(24\) 0.643986i 0.131453i
\(25\) 0.980143 4.90299i 0.196029 0.980598i
\(26\) −4.60484 + 1.35210i −0.903083 + 0.265169i
\(27\) 0.256596 + 3.58768i 0.0493819 + 0.690449i
\(28\) 2.96950 0.645974i 0.561182 0.122078i
\(29\) −0.893636 + 0.774340i −0.165944 + 0.143791i −0.733874 0.679285i \(-0.762290\pi\)
0.567930 + 0.823077i \(0.307744\pi\)
\(30\) −1.41923 0.243697i −0.259114 0.0444928i
\(31\) 0.384033 + 0.112762i 0.0689744 + 0.0202527i 0.316038 0.948747i \(-0.397647\pi\)
−0.247063 + 0.968999i \(0.579466\pi\)
\(32\) 0.212565 0.977147i 0.0375766 0.172737i
\(33\) −0.588297 0.785873i −0.102409 0.136803i
\(34\) −2.49385 + 5.46077i −0.427692 + 0.936514i
\(35\) 0.299891 + 6.78867i 0.0506908 + 1.14749i
\(36\) 0.367924 2.55897i 0.0613207 0.426495i
\(37\) −1.28246 0.278981i −0.210834 0.0458642i 0.105907 0.994376i \(-0.466225\pi\)
−0.316742 + 0.948512i \(0.602589\pi\)
\(38\) 0.914973 0.499613i 0.148428 0.0810480i
\(39\) −3.05919 + 0.439844i −0.489862 + 0.0704315i
\(40\) 2.07301 + 0.838226i 0.327772 + 0.132535i
\(41\) 8.30875 + 5.33971i 1.29761 + 0.833922i 0.992949 0.118539i \(-0.0378211\pi\)
0.304659 + 0.952461i \(0.401458\pi\)
\(42\) 1.95205 0.139614i 0.301208 0.0215428i
\(43\) 3.57839 6.55334i 0.545700 0.999375i −0.448699 0.893683i \(-0.648112\pi\)
0.994399 0.105692i \(-0.0337057\pi\)
\(44\) 0.633249 + 1.38662i 0.0954658 + 0.209041i
\(45\) 5.50026 + 1.77920i 0.819930 + 0.265228i
\(46\) 0.693312 + 4.74545i 0.102223 + 0.699679i
\(47\) −8.35033 + 8.35033i −1.21802 + 1.21802i −0.249697 + 0.968324i \(0.580331\pi\)
−0.968324 + 0.249697i \(0.919669\pi\)
\(48\) 0.225050 0.603382i 0.0324832 0.0870907i
\(49\) −0.629726 2.14465i −0.0899609 0.306379i
\(50\) −2.63176 + 4.25133i −0.372188 + 0.601229i
\(51\) −2.09013 + 3.25231i −0.292677 + 0.455414i
\(52\) 4.78701 + 0.342374i 0.663839 + 0.0474787i
\(53\) 7.94381 + 5.94666i 1.09117 + 0.816837i 0.984135 0.177419i \(-0.0567748\pi\)
0.107031 + 0.994256i \(0.465866\pi\)
\(54\) 1.01335 3.45115i 0.137899 0.469641i
\(55\) −3.29549 + 0.870837i −0.444364 + 0.117424i
\(56\) −3.00801 0.432487i −0.401963 0.0577935i
\(57\) 0.629021 0.234613i 0.0833159 0.0310752i
\(58\) 1.10790 0.413224i 0.145474 0.0542589i
\(59\) −7.59217 1.09159i −0.988416 0.142113i −0.370901 0.928672i \(-0.620951\pi\)
−0.617515 + 0.786559i \(0.711860\pi\)
\(60\) 1.24458 + 0.724300i 0.160675 + 0.0935068i
\(61\) 0.961272 3.27379i 0.123078 0.419166i −0.874784 0.484512i \(-0.838997\pi\)
0.997863 + 0.0653463i \(0.0208152\pi\)
\(62\) −0.320413 0.239859i −0.0406926 0.0304621i
\(63\) −7.83652 0.560479i −0.987308 0.0706137i
\(64\) −0.540641 + 0.841254i −0.0675801 + 0.105157i
\(65\) −2.56603 + 10.4201i −0.318277 + 1.29246i
\(66\) 0.276570 + 0.941912i 0.0340434 + 0.115941i
\(67\) −4.22193 + 11.3194i −0.515791 + 1.38289i 0.374385 + 0.927273i \(0.377854\pi\)
−0.890176 + 0.455616i \(0.849419\pi\)
\(68\) 4.24495 4.24495i 0.514776 0.514776i
\(69\) 0.00702364 + 3.08844i 0.000845547 + 0.371804i
\(70\) 2.09141 6.46544i 0.249972 0.772768i
\(71\) −0.865969 1.89621i −0.102772 0.225039i 0.851260 0.524744i \(-0.175839\pi\)
−0.954032 + 0.299705i \(0.903112\pi\)
\(72\) −1.23899 + 2.26905i −0.146017 + 0.267410i
\(73\) 0.260594 0.0186380i 0.0305002 0.00218142i −0.0560807 0.998426i \(-0.517860\pi\)
0.0865810 + 0.996245i \(0.472406\pi\)
\(74\) 1.10410 + 0.709564i 0.128349 + 0.0824851i
\(75\) −2.06720 + 2.46873i −0.238699 + 0.285065i
\(76\) −1.03188 + 0.148362i −0.118365 + 0.0170183i
\(77\) 4.06584 2.22012i 0.463346 0.253006i
\(78\) 3.02001 + 0.656964i 0.341949 + 0.0743865i
\(79\) 0.108205 0.752579i 0.0121740 0.0846718i −0.982829 0.184521i \(-0.940927\pi\)
0.995003 + 0.0998487i \(0.0318359\pi\)
\(80\) −1.64938 1.50982i −0.184406 0.168803i
\(81\) −2.25966 + 4.94797i −0.251074 + 0.549775i
\(82\) −5.91884 7.90665i −0.653627 0.873143i
\(83\) 1.22112 5.61340i 0.134035 0.616151i −0.860293 0.509800i \(-0.829720\pi\)
0.994329 0.106351i \(-0.0339168\pi\)
\(84\) −1.87776 0.551361i −0.204881 0.0601585i
\(85\) 7.74872 + 10.9615i 0.840466 + 1.18894i
\(86\) −5.64293 + 4.88963i −0.608493 + 0.527262i
\(87\) 0.744078 0.161864i 0.0797736 0.0173537i
\(88\) −0.108748 1.52049i −0.0115925 0.162085i
\(89\) 3.11654 0.915098i 0.330352 0.0970002i −0.112350 0.993669i \(-0.535838\pi\)
0.442703 + 0.896668i \(0.354020\pi\)
\(90\) −4.53170 3.58917i −0.477683 0.378331i
\(91\) 14.5846i 1.52888i
\(92\) 1.00877 4.68854i 0.105171 0.488814i
\(93\) −0.182259 0.182259i −0.0188994 0.0188994i
\(94\) 10.7420 4.90570i 1.10795 0.505984i
\(95\) 0.0635218 2.33022i 0.00651720 0.239075i
\(96\) −0.421721 + 0.486692i −0.0430417 + 0.0496728i
\(97\) −3.03964 13.9730i −0.308628 1.41874i −0.826333 0.563182i \(-0.809577\pi\)
0.517705 0.855559i \(-0.326787\pi\)
\(98\) −0.159457 + 2.22950i −0.0161076 + 0.225213i
\(99\) −0.560854 3.90083i −0.0563680 0.392048i
\(100\) 3.95152 3.06358i 0.395152 0.306358i
\(101\) 16.3898 10.5331i 1.63085 1.04808i 0.682478 0.730906i \(-0.260902\pi\)
0.948367 0.317175i \(-0.102734\pi\)
\(102\) 3.09491 2.31682i 0.306442 0.229399i
\(103\) 4.55361 + 12.2087i 0.448681 + 1.20296i 0.942739 + 0.333531i \(0.108240\pi\)
−0.494058 + 0.869429i \(0.664487\pi\)
\(104\) −4.36554 1.99368i −0.428077 0.195496i
\(105\) 1.92568 3.92960i 0.187927 0.383490i
\(106\) −5.36480 8.34780i −0.521076 0.810810i
\(107\) −3.68806 6.75418i −0.356538 0.652951i 0.636430 0.771335i \(-0.280411\pi\)
−0.992968 + 0.118383i \(0.962229\pi\)
\(108\) −2.15551 + 2.87942i −0.207414 + 0.277072i
\(109\) 3.61973 + 4.17739i 0.346707 + 0.400122i 0.902142 0.431438i \(-0.141994\pi\)
−0.555435 + 0.831560i \(0.687448\pi\)
\(110\) 3.39203 + 0.335725i 0.323418 + 0.0320101i
\(111\) 0.638759 + 0.553487i 0.0606283 + 0.0525347i
\(112\) 2.66722 + 1.45641i 0.252029 + 0.137618i
\(113\) −16.5955 6.18982i −1.56118 0.582289i −0.587301 0.809369i \(-0.699809\pi\)
−0.973876 + 0.227080i \(0.927082\pi\)
\(114\) −0.671350 −0.0628777
\(115\) 9.95093 + 3.99737i 0.927929 + 0.372757i
\(116\) −1.18245 −0.109788
\(117\) −11.6251 4.33594i −1.07474 0.400858i
\(118\) 6.73201 + 3.67595i 0.619732 + 0.338399i
\(119\) −13.7876 11.9470i −1.26391 1.09518i
\(120\) −0.912991 1.11357i −0.0833443 0.101654i
\(121\) −5.68175 6.55709i −0.516523 0.596099i
\(122\) −2.04474 + 2.73145i −0.185122 + 0.247294i
\(123\) −3.04822 5.58240i −0.274849 0.503348i
\(124\) 0.216389 + 0.336708i 0.0194323 + 0.0302373i
\(125\) 5.25622 + 9.86773i 0.470131 + 0.882597i
\(126\) 7.14655 + 3.26372i 0.636666 + 0.290755i
\(127\) 3.68774 + 9.88722i 0.327234 + 0.877349i 0.991530 + 0.129879i \(0.0414588\pi\)
−0.664296 + 0.747470i \(0.731268\pi\)
\(128\) 0.800541 0.599278i 0.0707585 0.0529692i
\(129\) −4.04511 + 2.59963i −0.356152 + 0.228885i
\(130\) 6.04570 8.86640i 0.530243 0.777635i
\(131\) 3.02120 + 21.0129i 0.263963 + 1.83591i 0.502264 + 0.864714i \(0.332501\pi\)
−0.238300 + 0.971191i \(0.576590\pi\)
\(132\) 0.0700320 0.979175i 0.00609550 0.0852263i
\(133\) 0.673423 + 3.09568i 0.0583932 + 0.268429i
\(134\) 7.91148 9.13033i 0.683448 0.788741i
\(135\) −5.53002 5.83997i −0.475949 0.502625i
\(136\) −5.46077 + 2.49385i −0.468257 + 0.213846i
\(137\) −2.26877 2.26877i −0.193834 0.193834i 0.603516 0.797351i \(-0.293766\pi\)
−0.797351 + 0.603516i \(0.793766\pi\)
\(138\) 1.07272 2.89617i 0.0913158 0.246538i
\(139\) 5.52306i 0.468460i 0.972181 + 0.234230i \(0.0752568\pi\)
−0.972181 + 0.234230i \(0.924743\pi\)
\(140\) −4.21899 + 5.32692i −0.356570 + 0.450207i
\(141\) 7.29687 2.14256i 0.614508 0.180436i
\(142\) 0.148713 + 2.07928i 0.0124797 + 0.174489i
\(143\) 7.14866 1.55510i 0.597801 0.130044i
\(144\) 1.95383 1.69300i 0.162819 0.141083i
\(145\) 0.447462 2.60590i 0.0371597 0.216408i
\(146\) −0.250677 0.0736053i −0.0207462 0.00609162i
\(147\) −0.305973 + 1.40654i −0.0252363 + 0.116009i
\(148\) −0.786521 1.05067i −0.0646517 0.0863645i
\(149\) 2.69261 5.89599i 0.220587 0.483018i −0.766692 0.642015i \(-0.778099\pi\)
0.987279 + 0.158997i \(0.0508259\pi\)
\(150\) 2.79959 1.59067i 0.228586 0.129877i
\(151\) 0.437790 3.04490i 0.0356269 0.247790i −0.964223 0.265091i \(-0.914598\pi\)
0.999850 + 0.0173004i \(0.00550718\pi\)
\(152\) 1.01867 + 0.221598i 0.0826249 + 0.0179739i
\(153\) −13.6217 + 7.43802i −1.10125 + 0.601328i
\(154\) −4.58534 + 0.659273i −0.369498 + 0.0531257i
\(155\) −0.823929 + 0.349465i −0.0661796 + 0.0280697i
\(156\) −2.60001 1.67093i −0.208168 0.133781i
\(157\) −6.52474 + 0.466659i −0.520731 + 0.0372434i −0.329231 0.944249i \(-0.606790\pi\)
−0.191500 + 0.981493i \(0.561335\pi\)
\(158\) −0.364382 + 0.667315i −0.0289887 + 0.0530888i
\(159\) −2.65463 5.81282i −0.210526 0.460987i
\(160\) 1.01776 + 1.99102i 0.0804607 + 0.157404i
\(161\) −14.4306 2.04132i −1.13729 0.160879i
\(162\) 3.84633 3.84633i 0.302196 0.302196i
\(163\) −2.44669 + 6.55983i −0.191640 + 0.513806i −0.996861 0.0791682i \(-0.974774\pi\)
0.805222 + 0.592974i \(0.202046\pi\)
\(164\) 2.78257 + 9.47655i 0.217282 + 0.739995i
\(165\) 2.13142 + 0.524877i 0.165931 + 0.0408616i
\(166\) −3.10581 + 4.83274i −0.241058 + 0.375093i
\(167\) 23.9870 + 1.71559i 1.85617 + 0.132756i 0.954225 0.299089i \(-0.0966827\pi\)
0.901948 + 0.431845i \(0.142137\pi\)
\(168\) 1.56669 + 1.17281i 0.120873 + 0.0904842i
\(169\) 2.82654 9.62632i 0.217426 0.740486i
\(170\) −3.42952 12.9782i −0.263032 0.995386i
\(171\) 2.66770 + 0.383558i 0.204004 + 0.0293314i
\(172\) 6.99589 2.60933i 0.533432 0.198960i
\(173\) 9.33157 3.48050i 0.709466 0.264617i 0.0312835 0.999511i \(-0.490041\pi\)
0.678183 + 0.734893i \(0.262768\pi\)
\(174\) −0.753730 0.108370i −0.0571401 0.00821551i
\(175\) −10.1430 11.3137i −0.766738 0.855234i
\(176\) −0.429466 + 1.46263i −0.0323722 + 0.110250i
\(177\) 3.95429 + 2.96015i 0.297223 + 0.222498i
\(178\) −3.23983 0.231718i −0.242836 0.0173680i
\(179\) 3.59318 5.59109i 0.268567 0.417898i −0.680608 0.732648i \(-0.738284\pi\)
0.949175 + 0.314750i \(0.101921\pi\)
\(180\) 2.99169 + 4.94653i 0.222987 + 0.368693i
\(181\) 2.69144 + 9.16619i 0.200053 + 0.681317i 0.997009 + 0.0772807i \(0.0246238\pi\)
−0.796957 + 0.604037i \(0.793558\pi\)
\(182\) −5.09681 + 13.6651i −0.377800 + 1.01292i
\(183\) −1.55371 + 1.55371i −0.114854 + 0.114854i
\(184\) −2.58364 + 4.04040i −0.190468 + 0.297862i
\(185\) 2.61312 1.33575i 0.192120 0.0982065i
\(186\) 0.107074 + 0.234460i 0.00785108 + 0.0171915i
\(187\) 4.38572 8.03186i 0.320716 0.587347i
\(188\) −11.7791 + 0.842455i −0.859076 + 0.0614424i
\(189\) 9.19542 + 5.90953i 0.668868 + 0.429855i
\(190\) −0.873844 + 2.16110i −0.0633953 + 0.156782i
\(191\) −16.7161 + 2.40341i −1.20953 + 0.173905i −0.717429 0.696631i \(-0.754681\pi\)
−0.492105 + 0.870536i \(0.663772\pi\)
\(192\) 0.565213 0.308630i 0.0407907 0.0222734i
\(193\) 6.69641 + 1.45671i 0.482018 + 0.104857i 0.447007 0.894530i \(-0.352490\pi\)
0.0350108 + 0.999387i \(0.488853\pi\)
\(194\) −2.03507 + 14.1542i −0.146110 + 1.01621i
\(195\) 4.66631 5.09764i 0.334162 0.365049i
\(196\) 0.928532 2.03320i 0.0663237 0.145229i
\(197\) 11.4538 + 15.3004i 0.816047 + 1.09011i 0.994352 + 0.106136i \(0.0338478\pi\)
−0.178305 + 0.983975i \(0.557061\pi\)
\(198\) −0.837707 + 3.85088i −0.0595333 + 0.273670i
\(199\) 26.1607 + 7.68147i 1.85448 + 0.544525i 0.999673 + 0.0255842i \(0.00814458\pi\)
0.854810 + 0.518941i \(0.173674\pi\)
\(200\) −4.77298 + 1.48950i −0.337501 + 0.105324i
\(201\) 5.87981 5.09488i 0.414729 0.359365i
\(202\) −19.0373 + 4.14132i −1.33946 + 0.291382i
\(203\) 0.256350 + 3.58424i 0.0179923 + 0.251565i
\(204\) −3.70942 + 1.08918i −0.259711 + 0.0762582i
\(205\) −21.9375 + 2.54615i −1.53218 + 0.177830i
\(206\) 13.0303i 0.907862i
\(207\) −5.91724 + 10.8955i −0.411277 + 0.757287i
\(208\) 3.39358 + 3.39358i 0.235302 + 0.235302i
\(209\) −1.44554 + 0.660156i −0.0999902 + 0.0456640i
\(210\) −3.17752 + 3.00888i −0.219270 + 0.207632i
\(211\) −7.12686 + 8.22484i −0.490633 + 0.566221i −0.946035 0.324065i \(-0.894950\pi\)
0.455401 + 0.890286i \(0.349496\pi\)
\(212\) 2.10930 + 9.69627i 0.144867 + 0.665943i
\(213\) −0.0957690 + 1.33903i −0.00656198 + 0.0917485i
\(214\) 1.09518 + 7.61717i 0.0748653 + 0.520699i
\(215\) 3.10310 + 16.4051i 0.211630 + 1.11882i
\(216\) 3.02586 1.94460i 0.205883 0.132313i
\(217\) 0.973719 0.728917i 0.0661004 0.0494821i
\(218\) −1.93166 5.17897i −0.130828 0.350764i
\(219\) −0.153043 0.0698925i −0.0103417 0.00472290i
\(220\) −3.06084 1.49995i −0.206362 0.101127i
\(221\) −15.5765 24.2375i −1.04779 1.63039i
\(222\) −0.405061 0.741813i −0.0271859 0.0497872i
\(223\) −14.9828 + 20.0147i −1.00333 + 1.34029i −0.0637424 + 0.997966i \(0.520304\pi\)
−0.939583 + 0.342320i \(0.888787\pi\)
\(224\) −1.99009 2.29668i −0.132968 0.153454i
\(225\) −12.0334 + 4.72126i −0.802224 + 0.314751i
\(226\) 13.3861 + 11.5991i 0.890428 + 0.771560i
\(227\) −5.96840 3.25899i −0.396136 0.216307i 0.268818 0.963191i \(-0.413367\pi\)
−0.664954 + 0.746884i \(0.731549\pi\)
\(228\) 0.629021 + 0.234613i 0.0416579 + 0.0155376i
\(229\) 17.9061 1.18327 0.591634 0.806207i \(-0.298483\pi\)
0.591634 + 0.806207i \(0.298483\pi\)
\(230\) −7.92658 7.22283i −0.522663 0.476259i
\(231\) −2.98326 −0.196284
\(232\) 1.10790 + 0.413224i 0.0727369 + 0.0271295i
\(233\) −7.93825 4.33462i −0.520052 0.283970i 0.197707 0.980261i \(-0.436650\pi\)
−0.717760 + 0.696291i \(0.754832\pi\)
\(234\) 9.37688 + 8.12511i 0.612986 + 0.531155i
\(235\) 2.60082 26.2777i 0.169659 1.71417i
\(236\) −5.02294 5.79678i −0.326965 0.377338i
\(237\) −0.293427 + 0.391972i −0.0190601 + 0.0254613i
\(238\) 8.74324 + 16.0120i 0.566740 + 1.03791i
\(239\) 5.17370 + 8.05044i 0.334659 + 0.520740i 0.967276 0.253725i \(-0.0816558\pi\)
−0.632617 + 0.774464i \(0.718019\pi\)
\(240\) 0.466275 + 1.36242i 0.0300979 + 0.0879436i
\(241\) 20.7835 + 9.49149i 1.33878 + 0.611401i 0.950668 0.310211i \(-0.100400\pi\)
0.388113 + 0.921612i \(0.373127\pi\)
\(242\) 3.03205 + 8.12924i 0.194907 + 0.522567i
\(243\) 11.4425 8.56578i 0.734040 0.549495i
\(244\) 2.87036 1.84467i 0.183756 0.118093i
\(245\) 4.12943 + 2.81572i 0.263819 + 0.179890i
\(246\) 0.905181 + 6.29567i 0.0577122 + 0.401397i
\(247\) −0.356922 + 4.99042i −0.0227104 + 0.317533i
\(248\) −0.0850784 0.391099i −0.00540248 0.0248348i
\(249\) −2.42265 + 2.79589i −0.153530 + 0.177182i
\(250\) −1.47640 11.0824i −0.0933754 0.700914i
\(251\) 10.0860 4.60613i 0.636624 0.290736i −0.0708381 0.997488i \(-0.522567\pi\)
0.707462 + 0.706751i \(0.249840\pi\)
\(252\) −5.55541 5.55541i −0.349958 0.349958i
\(253\) −0.538118 7.29082i −0.0338312 0.458370i
\(254\) 10.5526i 0.662126i
\(255\) −0.996641 8.58705i −0.0624121 0.537742i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) 0.363054 + 5.07615i 0.0226467 + 0.316642i 0.996131 + 0.0878861i \(0.0280112\pi\)
−0.973484 + 0.228756i \(0.926534\pi\)
\(258\) 4.69854 1.02211i 0.292518 0.0636335i
\(259\) −3.01428 + 2.61189i −0.187298 + 0.162295i
\(260\) −8.76301 + 6.19461i −0.543459 + 0.384174i
\(261\) 2.93314 + 0.861247i 0.181557 + 0.0533098i
\(262\) 4.51255 20.7438i 0.278786 1.28156i
\(263\) −8.24542 11.0146i −0.508435 0.679189i 0.470725 0.882280i \(-0.343992\pi\)
−0.979160 + 0.203091i \(0.934901\pi\)
\(264\) −0.407803 + 0.892964i −0.0250986 + 0.0549582i
\(265\) −22.1670 + 0.979232i −1.36171 + 0.0601537i
\(266\) 0.450864 3.13583i 0.0276443 0.192270i
\(267\) −2.04393 0.444631i −0.125087 0.0272110i
\(268\) −10.6034 + 5.78988i −0.647705 + 0.353673i
\(269\) 17.5624 2.52510i 1.07080 0.153958i 0.415702 0.909501i \(-0.363536\pi\)
0.655099 + 0.755543i \(0.272627\pi\)
\(270\) 3.14049 + 7.40430i 0.191124 + 0.450612i
\(271\) 2.36123 + 1.51747i 0.143435 + 0.0921798i 0.610390 0.792101i \(-0.291013\pi\)
−0.466955 + 0.884281i \(0.654649\pi\)
\(272\) 5.98798 0.428269i 0.363074 0.0259676i
\(273\) −4.50125 + 8.24342i −0.272428 + 0.498915i
\(274\) 1.33287 + 2.91858i 0.0805217 + 0.176318i
\(275\) 4.46390 6.17792i 0.269183 0.372542i
\(276\) −2.01719 + 2.33869i −0.121421 + 0.140772i
\(277\) −12.4874 + 12.4874i −0.750293 + 0.750293i −0.974534 0.224241i \(-0.928010\pi\)
0.224241 + 0.974534i \(0.428010\pi\)
\(278\) 1.93011 5.17483i 0.115760 0.310366i
\(279\) −0.291522 0.992834i −0.0174530 0.0594394i
\(280\) 5.81455 3.51667i 0.347486 0.210161i
\(281\) 8.74104 13.6013i 0.521447 0.811387i −0.476244 0.879313i \(-0.658002\pi\)
0.997690 + 0.0679263i \(0.0216383\pi\)
\(282\) −7.58555 0.542529i −0.451713 0.0323071i
\(283\) −13.4685 10.0824i −0.800619 0.599336i 0.118664 0.992935i \(-0.462139\pi\)
−0.919282 + 0.393599i \(0.871230\pi\)
\(284\) 0.587296 2.00015i 0.0348496 0.118687i
\(285\) −0.755077 + 1.29746i −0.0447269 + 0.0768551i
\(286\) −7.24138 1.04115i −0.428192 0.0615647i
\(287\) 28.1221 10.4890i 1.66000 0.619146i
\(288\) −2.42228 + 0.903464i −0.142734 + 0.0532371i
\(289\) −18.8455 2.70957i −1.10856 0.159387i
\(290\) −1.32992 + 2.28522i −0.0780955 + 0.134193i
\(291\) −2.59443 + 8.83583i −0.152088 + 0.517966i
\(292\) 0.209149 + 0.156567i 0.0122395 + 0.00916239i
\(293\) −9.52076 0.680938i −0.556209 0.0397808i −0.209594 0.977788i \(-0.567214\pi\)
−0.346615 + 0.938008i \(0.612669\pi\)
\(294\) 0.778216 1.21093i 0.0453865 0.0706227i
\(295\) 14.6758 8.87601i 0.854459 0.516781i
\(296\) 0.369760 + 1.25929i 0.0214918 + 0.0731945i
\(297\) −1.91609 + 5.13724i −0.111183 + 0.298093i
\(298\) −4.58328 + 4.58328i −0.265502 + 0.265502i
\(299\) −20.9581 9.51370i −1.21204 0.550191i
\(300\) −3.17896 + 0.512017i −0.183537 + 0.0295613i
\(301\) −9.42610 20.6403i −0.543311 1.18969i
\(302\) −1.47427 + 2.69992i −0.0848347 + 0.155363i
\(303\) −12.5145 + 0.895058i −0.718942 + 0.0514197i
\(304\) −0.877000 0.563614i −0.0502994 0.0323255i
\(305\) 2.97910 + 7.02380i 0.170583 + 0.402182i
\(306\) 15.3622 2.20875i 0.878197 0.126266i
\(307\) 3.37802 1.84454i 0.192794 0.105273i −0.379953 0.925006i \(-0.624060\pi\)
0.572746 + 0.819733i \(0.305878\pi\)
\(308\) 4.52663 + 0.984708i 0.257929 + 0.0561089i
\(309\) 1.19421 8.30590i 0.0679361 0.472506i
\(310\) 0.894105 0.0394973i 0.0507818 0.00224330i
\(311\) 5.64569 12.3623i 0.320137 0.701003i −0.679323 0.733839i \(-0.737727\pi\)
0.999461 + 0.0328358i \(0.0104539\pi\)
\(312\) 1.85215 + 2.47419i 0.104858 + 0.140073i
\(313\) 0.401158 1.84410i 0.0226748 0.104234i −0.964419 0.264380i \(-0.914833\pi\)
0.987093 + 0.160146i \(0.0511963\pi\)
\(314\) 6.27643 + 1.84293i 0.354200 + 0.104002i
\(315\) 14.3454 10.1408i 0.808270 0.571370i
\(316\) 0.574610 0.497903i 0.0323244 0.0280092i
\(317\) 31.3998 6.83061i 1.76359 0.383645i 0.790208 0.612839i \(-0.209973\pi\)
0.973381 + 0.229194i \(0.0736089\pi\)
\(318\) 0.455879 + 6.37402i 0.0255644 + 0.357437i
\(319\) −1.72948 + 0.507822i −0.0968325 + 0.0284326i
\(320\) −0.257795 2.22116i −0.0144112 0.124166i
\(321\) 4.95580i 0.276606i
\(322\) 12.8074 + 6.95560i 0.713728 + 0.387620i
\(323\) 4.42533 + 4.42533i 0.246232 + 0.246232i
\(324\) −4.94797 + 2.25966i −0.274887 + 0.125537i
\(325\) −10.3357 21.6562i −0.573321 1.20127i
\(326\) 4.58485 5.29120i 0.253932 0.293053i
\(327\) −0.756652 3.47827i −0.0418429 0.192349i
\(328\) 0.704591 9.85146i 0.0389045 0.543956i
\(329\) 5.10731 + 35.5221i 0.281575 + 1.95840i
\(330\) −1.81361 1.23664i −0.0998358 0.0680747i
\(331\) −8.46987 + 5.44325i −0.465546 + 0.299188i −0.752306 0.658814i \(-0.771058\pi\)
0.286760 + 0.958003i \(0.407422\pi\)
\(332\) 4.59886 3.44266i 0.252395 0.188941i
\(333\) 1.18575 + 3.17912i 0.0649787 + 0.174215i
\(334\) −21.8751 9.99003i −1.19695 0.546630i
\(335\) −8.74730 25.5589i −0.477916 1.39643i
\(336\) −1.05805 1.64637i −0.0577216 0.0898166i
\(337\) −9.99784 18.3097i −0.544617 0.997392i −0.994543 0.104326i \(-0.966732\pi\)
0.449926 0.893066i \(-0.351450\pi\)
\(338\) −6.01238 + 8.03160i −0.327030 + 0.436861i
\(339\) 7.46965 + 8.62044i 0.405696 + 0.468198i
\(340\) −1.32215 + 13.3585i −0.0717034 + 0.724464i
\(341\) 0.461102 + 0.399547i 0.0249701 + 0.0216367i
\(342\) −2.36546 1.29164i −0.127910 0.0698439i
\(343\) 13.5670 + 5.06024i 0.732551 + 0.273227i
\(344\) −7.46667 −0.402576
\(345\) −4.39069 5.33052i −0.236387 0.286985i
\(346\) −9.95952 −0.535427
\(347\) 10.0188 + 3.73684i 0.537840 + 0.200604i 0.603681 0.797226i \(-0.293700\pi\)
−0.0658407 + 0.997830i \(0.520973\pi\)
\(348\) 0.668336 + 0.364939i 0.0358265 + 0.0195628i
\(349\) 4.70583 + 4.07762i 0.251897 + 0.218270i 0.771651 0.636046i \(-0.219431\pi\)
−0.519754 + 0.854316i \(0.673976\pi\)
\(350\) 5.54975 + 14.1450i 0.296647 + 0.756080i
\(351\) 11.3043 + 13.0458i 0.603378 + 0.696335i
\(352\) 0.913524 1.22033i 0.0486910 0.0650436i
\(353\) 11.0724 + 20.2775i 0.589322 + 1.07926i 0.986845 + 0.161670i \(0.0516880\pi\)
−0.397523 + 0.917592i \(0.630130\pi\)
\(354\) −2.67051 4.15539i −0.141936 0.220857i
\(355\) 4.18571 + 2.05119i 0.222154 + 0.108866i
\(356\) 2.95459 + 1.34931i 0.156593 + 0.0715135i
\(357\) 4.10573 + 11.0079i 0.217298 + 0.582599i
\(358\) −5.32051 + 3.98289i −0.281198 + 0.210502i
\(359\) −12.8585 + 8.26364i −0.678644 + 0.436138i −0.834032 0.551715i \(-0.813973\pi\)
0.155388 + 0.987853i \(0.450337\pi\)
\(360\) −1.07443 5.68014i −0.0566273 0.299370i
\(361\) 2.54932 + 17.7309i 0.134175 + 0.933204i
\(362\) 0.681514 9.52882i 0.0358196 0.500823i
\(363\) 1.18769 + 5.45971i 0.0623374 + 0.286561i
\(364\) 9.55090 11.0223i 0.500603 0.577727i
\(365\) −0.424191 + 0.401678i −0.0222032 + 0.0210248i
\(366\) 1.99872 0.912784i 0.104475 0.0477120i
\(367\) −5.72849 5.72849i −0.299025 0.299025i 0.541607 0.840632i \(-0.317816\pi\)
−0.840632 + 0.541607i \(0.817816\pi\)
\(368\) 3.83271 2.88276i 0.199794 0.150274i
\(369\) 25.5339i 1.32924i
\(370\) −2.91516 + 0.338343i −0.151552 + 0.0175896i
\(371\) 28.9341 8.49581i 1.50218 0.441081i
\(372\) −0.0183879 0.257096i −0.000953367 0.0133298i
\(373\) −23.0945 + 5.02389i −1.19579 + 0.260127i −0.766022 0.642814i \(-0.777767\pi\)
−0.429764 + 0.902941i \(0.641403\pi\)
\(374\) −6.91605 + 5.99279i −0.357620 + 0.309880i
\(375\) 0.0745908 7.19959i 0.00385185 0.371785i
\(376\) 11.3308 + 3.32702i 0.584341 + 0.171578i
\(377\) −1.20628 + 5.54517i −0.0621265 + 0.285591i
\(378\) −6.55047 8.75041i −0.336920 0.450072i
\(379\) −8.35689 + 18.2990i −0.429264 + 0.939958i 0.564181 + 0.825651i \(0.309192\pi\)
−0.993445 + 0.114307i \(0.963535\pi\)
\(380\) 1.57397 1.71946i 0.0807432 0.0882066i
\(381\) 0.967129 6.72653i 0.0495475 0.344610i
\(382\) 16.5020 + 3.58980i 0.844318 + 0.183670i
\(383\) 26.2316 14.3236i 1.34037 0.731899i 0.360735 0.932668i \(-0.382526\pi\)
0.979639 + 0.200769i \(0.0643440\pi\)
\(384\) −0.637431 + 0.0916487i −0.0325288 + 0.00467693i
\(385\) −3.88308 + 9.60322i −0.197900 + 0.489425i
\(386\) −5.76513 3.70502i −0.293437 0.188581i
\(387\) −19.2543 + 1.37709i −0.978749 + 0.0700015i
\(388\) 6.85315 12.5506i 0.347916 0.637161i
\(389\) 3.71981 + 8.14525i 0.188602 + 0.412981i 0.980186 0.198080i \(-0.0634705\pi\)
−0.791584 + 0.611060i \(0.790743\pi\)
\(390\) −6.15354 + 3.14552i −0.311597 + 0.159280i
\(391\) −26.1617 + 12.0196i −1.32305 + 0.607858i
\(392\) −1.58052 + 1.58052i −0.0798283 + 0.0798283i
\(393\) 4.77758 12.8092i 0.240997 0.646138i
\(394\) −5.38465 18.3384i −0.271275 0.923876i
\(395\) 0.879841 + 1.45475i 0.0442696 + 0.0731965i
\(396\) 2.13063 3.31533i 0.107068 0.166602i
\(397\) 4.44299 + 0.317769i 0.222987 + 0.0159484i 0.182386 0.983227i \(-0.441618\pi\)
0.0406016 + 0.999175i \(0.487073\pi\)
\(398\) −21.8269 16.3394i −1.09408 0.819019i
\(399\) 0.574790 1.95755i 0.0287755 0.0980003i
\(400\) 4.99257 + 0.272398i 0.249629 + 0.0136199i
\(401\) −11.4987 1.65326i −0.574216 0.0825599i −0.150912 0.988547i \(-0.548221\pi\)
−0.423305 + 0.905987i \(0.639130\pi\)
\(402\) −7.28956 + 2.71887i −0.363570 + 0.135605i
\(403\) 1.79977 0.671278i 0.0896527 0.0334387i
\(404\) 19.2843 + 2.77266i 0.959429 + 0.137945i
\(405\) −3.10747 11.7595i −0.154411 0.584335i
\(406\) 1.01238 3.44784i 0.0502435 0.171114i
\(407\) −1.60162 1.19895i −0.0793891 0.0594300i
\(408\) 3.85617 + 0.275799i 0.190909 + 0.0136541i
\(409\) 13.8718 21.5849i 0.685914 1.06730i −0.307369 0.951591i \(-0.599448\pi\)
0.993283 0.115713i \(-0.0369152\pi\)
\(410\) 21.4442 + 5.28078i 1.05905 + 0.260799i
\(411\) 0.582129 + 1.98255i 0.0287143 + 0.0977919i
\(412\) −4.55361 + 12.2087i −0.224340 + 0.601480i
\(413\) −16.4823 + 16.4823i −0.811039 + 0.811039i
\(414\) 9.35173 8.14063i 0.459612 0.400090i
\(415\) 5.84669 + 11.4378i 0.287003 + 0.561460i
\(416\) −1.99368 4.36554i −0.0977480 0.214038i
\(417\) 1.70458 3.12170i 0.0834736 0.152871i
\(418\) 1.58510 0.113369i 0.0775298 0.00554504i
\(419\) −27.1520 17.4495i −1.32646 0.852464i −0.330636 0.943758i \(-0.607263\pi\)
−0.995824 + 0.0912943i \(0.970900\pi\)
\(420\) 4.02867 1.70874i 0.196579 0.0833779i
\(421\) −11.8754 + 1.70742i −0.578770 + 0.0832146i −0.425482 0.904967i \(-0.639895\pi\)
−0.153288 + 0.988182i \(0.548986\pi\)
\(422\) 9.55180 5.21568i 0.464974 0.253895i
\(423\) 29.8323 + 6.48962i 1.45050 + 0.315536i
\(424\) 1.41220 9.82204i 0.0685823 0.477001i
\(425\) −28.9392 7.96887i −1.40376 0.386547i
\(426\) 0.557672 1.22113i 0.0270193 0.0591640i
\(427\) −6.21385 8.30073i −0.300709 0.401700i
\(428\) 1.63580 7.51964i 0.0790692 0.363475i
\(429\) −4.52046 1.32733i −0.218250 0.0640840i
\(430\) 2.82554 16.4552i 0.136259 0.793538i
\(431\) 12.5264 10.8542i 0.603375 0.522827i −0.298734 0.954337i \(-0.596564\pi\)
0.902109 + 0.431509i \(0.142019\pi\)
\(432\) −3.51464 + 0.764564i −0.169098 + 0.0367851i
\(433\) −0.233422 3.26367i −0.0112176 0.156842i −0.999973 0.00730269i \(-0.997675\pi\)
0.988756 0.149539i \(-0.0477791\pi\)
\(434\) −1.16706 + 0.342679i −0.0560205 + 0.0164491i
\(435\) −1.05717 + 1.33479i −0.0506874 + 0.0639982i
\(436\) 5.52748i 0.264718i
\(437\) 4.88776 + 1.05163i 0.233813 + 0.0503064i
\(438\) 0.118969 + 0.118969i 0.00568456 + 0.00568456i
\(439\) −24.8489 + 11.3481i −1.18597 + 0.541615i −0.907998 0.418974i \(-0.862390\pi\)
−0.277973 + 0.960589i \(0.589663\pi\)
\(440\) 2.34368 + 2.47503i 0.111730 + 0.117993i
\(441\) −3.78418 + 4.36718i −0.180199 + 0.207961i
\(442\) 6.12425 + 28.1527i 0.291301 + 1.33909i
\(443\) −1.86904 + 26.1325i −0.0888006 + 1.24159i 0.736318 + 0.676635i \(0.236563\pi\)
−0.825119 + 0.564959i \(0.808892\pi\)
\(444\) 0.120284 + 0.836596i 0.00570844 + 0.0397031i
\(445\) −4.09171 + 6.00075i −0.193966 + 0.284463i
\(446\) 21.0326 13.5168i 0.995923 0.640041i
\(447\) −3.34157 + 2.50147i −0.158051 + 0.118316i
\(448\) 1.06200 + 2.84734i 0.0501749 + 0.134524i
\(449\) 4.57010 + 2.08709i 0.215676 + 0.0984960i 0.520324 0.853969i \(-0.325811\pi\)
−0.304647 + 0.952465i \(0.598539\pi\)
\(450\) 12.9246 0.218359i 0.609270 0.0102935i
\(451\) 8.13972 + 12.6657i 0.383285 + 0.596402i
\(452\) −8.48860 15.5457i −0.399270 0.731209i
\(453\) −1.18719 + 1.58590i −0.0557791 + 0.0745121i
\(454\) 4.45319 + 5.13925i 0.208998 + 0.241197i
\(455\) 20.6769 + 25.2195i 0.969349 + 1.18231i
\(456\) −0.507372 0.439641i −0.0237599 0.0205881i
\(457\) −33.3638 18.2180i −1.56069 0.852202i −0.999703 0.0243781i \(-0.992239\pi\)
−0.560988 0.827824i \(-0.689579\pi\)
\(458\) −16.7771 6.25753i −0.783942 0.292395i
\(459\) 21.5928 1.00787
\(460\) 4.90269 + 9.53749i 0.228589 + 0.444688i
\(461\) −35.7801 −1.66644 −0.833222 0.552938i \(-0.813506\pi\)
−0.833222 + 0.552938i \(0.813506\pi\)
\(462\) 2.79517 + 1.04254i 0.130043 + 0.0485035i
\(463\) −5.12210 2.79688i −0.238044 0.129982i 0.355800 0.934562i \(-0.384209\pi\)
−0.593844 + 0.804580i \(0.702390\pi\)
\(464\) −0.893636 0.774340i −0.0414860 0.0359478i
\(465\) 0.573550 + 0.0567668i 0.0265978 + 0.00263250i
\(466\) 5.92295 + 6.83545i 0.274376 + 0.316646i
\(467\) −10.6426 + 14.2169i −0.492482 + 0.657878i −0.976080 0.217412i \(-0.930239\pi\)
0.483598 + 0.875290i \(0.339330\pi\)
\(468\) −5.94623 10.8897i −0.274865 0.503377i
\(469\) 19.8491 + 30.8858i 0.916546 + 1.42617i
\(470\) −11.6199 + 23.7120i −0.535988 + 1.09375i
\(471\) 3.83189 + 1.74997i 0.176564 + 0.0806342i
\(472\) 2.68047 + 7.18663i 0.123379 + 0.330791i
\(473\) 9.11177 6.82098i 0.418960 0.313629i
\(474\) 0.411907 0.264716i 0.0189195 0.0121588i
\(475\) 3.19375 + 4.11943i 0.146539 + 0.189012i
\(476\) −2.59634 18.0579i −0.119003 0.827684i
\(477\) 1.83013 25.5885i 0.0837957 1.17162i
\(478\) −2.03416 9.35088i −0.0930403 0.427699i
\(479\) −1.63529 + 1.88723i −0.0747185 + 0.0862297i −0.791878 0.610679i \(-0.790896\pi\)
0.717160 + 0.696909i \(0.245442\pi\)
\(480\) 0.0392398 1.43946i 0.00179104 0.0657021i
\(481\) −5.72955 + 2.61660i −0.261245 + 0.119307i
\(482\) −16.1561 16.1561i −0.735891 0.735891i
\(483\) 7.52635 + 5.60749i 0.342461 + 0.255150i
\(484\) 8.67628i 0.394376i
\(485\) 25.0659 + 19.8525i 1.13818 + 0.901455i
\(486\) −13.7145 + 4.02695i −0.622103 + 0.182666i
\(487\) −0.613154 8.57302i −0.0277847 0.388480i −0.992249 0.124267i \(-0.960342\pi\)
0.964464 0.264214i \(-0.0851124\pi\)
\(488\) −3.33403 + 0.725273i −0.150924 + 0.0328316i
\(489\) 3.40746 2.95258i 0.154091 0.133520i
\(490\) −2.88507 4.08127i −0.130334 0.184373i
\(491\) −23.1819 6.80682i −1.04619 0.307188i −0.286910 0.957958i \(-0.592628\pi\)
−0.759275 + 0.650770i \(0.774446\pi\)
\(492\) 1.35200 6.21505i 0.0609530 0.280196i
\(493\) 4.25401 + 5.68269i 0.191591 + 0.255936i
\(494\) 2.07839 4.55104i 0.0935113 0.204761i
\(495\) 6.50010 + 5.95011i 0.292158 + 0.267438i
\(496\) −0.0569610 + 0.396172i −0.00255762 + 0.0177887i
\(497\) −6.19018 1.34659i −0.277667 0.0604029i
\(498\) 3.24697 1.77298i 0.145500 0.0794491i
\(499\) 20.5566 2.95559i 0.920238 0.132310i 0.334115 0.942532i \(-0.391563\pi\)
0.586123 + 0.810222i \(0.300653\pi\)
\(500\) −2.48960 + 10.8996i −0.111338 + 0.487446i
\(501\) −13.0283 8.37278i −0.582062 0.374068i
\(502\) −11.0598 + 0.791010i −0.493622 + 0.0353045i
\(503\) 13.6885 25.0687i 0.610341 1.11776i −0.371568 0.928406i \(-0.621180\pi\)
0.981909 0.189351i \(-0.0606384\pi\)
\(504\) 3.26372 + 7.14655i 0.145378 + 0.318333i
\(505\) −13.4080 + 41.4497i −0.596648 + 1.84449i
\(506\) −2.04369 + 7.01918i −0.0908531 + 0.312041i
\(507\) −4.56856 + 4.56856i −0.202897 + 0.202897i
\(508\) −3.68774 + 9.88722i −0.163617 + 0.438674i
\(509\) 10.7070 + 36.4647i 0.474580 + 1.61627i 0.754537 + 0.656257i \(0.227861\pi\)
−0.279958 + 0.960012i \(0.590320\pi\)
\(510\) −2.06706 + 8.39392i −0.0915311 + 0.371689i
\(511\) 0.429244 0.667916i 0.0189886 0.0295469i
\(512\) 0.997452 + 0.0713392i 0.0440816 + 0.00315278i
\(513\) −3.00177 2.24710i −0.132532 0.0992118i
\(514\) 1.43377 4.88298i 0.0632409 0.215379i
\(515\) −25.1825 14.6553i −1.10968 0.645791i
\(516\) −4.75949 0.684311i −0.209525 0.0301251i
\(517\) −16.8666 + 6.29091i −0.741791 + 0.276674i
\(518\) 3.73699 1.39382i 0.164194 0.0612411i
\(519\) −6.34851 0.912778i −0.278669 0.0400665i
\(520\) 10.3753 2.74169i 0.454987 0.120231i
\(521\) −6.04557 + 20.5893i −0.264861 + 0.902035i 0.714452 + 0.699685i \(0.246676\pi\)
−0.979313 + 0.202350i \(0.935142\pi\)
\(522\) −2.44723 1.83197i −0.107112 0.0801832i
\(523\) 5.31316 + 0.380005i 0.232328 + 0.0166164i 0.187018 0.982357i \(-0.440118\pi\)
0.0453104 + 0.998973i \(0.485572\pi\)
\(524\) −11.4773 + 17.8590i −0.501386 + 0.780172i
\(525\) 2.24121 + 9.52507i 0.0978146 + 0.415708i
\(526\) 3.87634 + 13.2016i 0.169016 + 0.575617i
\(527\) 0.839688 2.25129i 0.0365774 0.0980677i
\(528\) 0.694150 0.694150i 0.0302090 0.0302090i
\(529\) −12.3466 + 19.4052i −0.536809 + 0.843704i
\(530\) 21.1116 + 6.82908i 0.917028 + 0.296636i
\(531\) 8.23757 + 18.0378i 0.357480 + 0.782772i
\(532\) −1.51830 + 2.78055i −0.0658265 + 0.120552i
\(533\) 47.2795 3.38150i 2.04790 0.146469i
\(534\) 1.75968 + 1.13088i 0.0761489 + 0.0489379i
\(535\) 15.9529 + 6.45057i 0.689703 + 0.278883i
\(536\) 11.9582 1.71933i 0.516515 0.0742637i
\(537\) −3.75649 + 2.05120i −0.162104 + 0.0885157i
\(538\) −17.3376 3.77155i −0.747475 0.162603i
\(539\) 0.484906 3.37259i 0.0208864 0.145268i
\(540\) −0.354946 8.03495i −0.0152744 0.345769i
\(541\) −14.9034 + 32.6339i −0.640748 + 1.40304i 0.258676 + 0.965964i \(0.416714\pi\)
−0.899424 + 0.437078i \(0.856013\pi\)
\(542\) −1.68205 2.24696i −0.0722504 0.0965152i
\(543\) 1.30772 6.01150i 0.0561197 0.257978i
\(544\) −5.76010 1.69132i −0.246962 0.0725146i
\(545\) −12.1815 2.09171i −0.521800 0.0895990i
\(546\) 7.09823 6.15065i 0.303776 0.263223i
\(547\) 29.3994 6.39545i 1.25703 0.273450i 0.465755 0.884914i \(-0.345783\pi\)
0.791272 + 0.611464i \(0.209419\pi\)
\(548\) −0.228894 3.20035i −0.00977786 0.136712i
\(549\) −8.46368 + 2.48516i −0.361221 + 0.106064i
\(550\) −6.34141 + 4.22842i −0.270399 + 0.180301i
\(551\) 1.23269i 0.0525145i
\(552\) 2.70729 1.48630i 0.115230 0.0632610i
\(553\) −1.63382 1.63382i −0.0694770 0.0694770i
\(554\) 16.0639 7.33614i 0.682490 0.311683i
\(555\) −1.88922 0.0515002i −0.0801929 0.00218606i
\(556\) −3.61683 + 4.17405i −0.153388 + 0.177019i
\(557\) 3.06539 + 14.0914i 0.129885 + 0.597070i 0.995368 + 0.0961331i \(0.0306475\pi\)
−0.865484 + 0.500937i \(0.832989\pi\)
\(558\) −0.0738181 + 1.03211i −0.00312497 + 0.0436928i
\(559\) −5.09976 35.4696i −0.215697 1.50020i
\(560\) −6.67689 + 1.26297i −0.282150 + 0.0533701i
\(561\) −4.95774 + 3.18614i −0.209316 + 0.134519i
\(562\) −12.9431 + 9.68908i −0.545971 + 0.408709i
\(563\) −1.80810 4.84770i −0.0762023 0.204306i 0.893263 0.449534i \(-0.148410\pi\)
−0.969465 + 0.245228i \(0.921137\pi\)
\(564\) 6.91768 + 3.15920i 0.291287 + 0.133026i
\(565\) 37.4721 12.8245i 1.57646 0.539531i
\(566\) 9.09587 + 14.1534i 0.382328 + 0.594914i
\(567\) 7.92220 + 14.5084i 0.332701 + 0.609296i
\(568\) −1.24925 + 1.66880i −0.0524173 + 0.0700212i
\(569\) −13.4623 15.5364i −0.564370 0.651318i 0.399800 0.916602i \(-0.369080\pi\)
−0.964170 + 0.265285i \(0.914534\pi\)
\(570\) 1.16089 0.951786i 0.0486242 0.0398659i
\(571\) −21.4332 18.5719i −0.896950 0.777212i 0.0786191 0.996905i \(-0.474949\pi\)
−0.975569 + 0.219693i \(0.929494\pi\)
\(572\) 6.42097 + 3.50611i 0.268474 + 0.146598i
\(573\) 10.1899 + 3.80064i 0.425690 + 0.158774i
\(574\) −30.0145 −1.25278
\(575\) −22.8741 + 7.19544i −0.953917 + 0.300071i
\(576\) 2.58528 0.107720
\(577\) −18.6624 6.96070i −0.776924 0.289778i −0.0704488 0.997515i \(-0.522443\pi\)
−0.706475 + 0.707738i \(0.749716\pi\)
\(578\) 16.7104 + 9.12456i 0.695060 + 0.379532i
\(579\) −3.33531 2.89006i −0.138611 0.120107i
\(580\) 2.04467 1.67638i 0.0849003 0.0696080i
\(581\) −11.4324 13.1937i −0.474297 0.547368i
\(582\) 5.51866 7.37207i 0.228756 0.305582i
\(583\) 7.24934 + 13.2762i 0.300237 + 0.549843i
\(584\) −0.141248 0.219786i −0.00584487 0.00909479i
\(585\) 26.2491 8.98351i 1.08527 0.371422i
\(586\) 8.68251 + 3.96517i 0.358671 + 0.163800i
\(587\) 7.82857 + 20.9892i 0.323120 + 0.866317i 0.992372 + 0.123282i \(0.0393419\pi\)
−0.669252 + 0.743035i \(0.733385\pi\)
\(588\) −1.15232 + 0.862620i −0.0475211 + 0.0355738i
\(589\) −0.351016 + 0.225584i −0.0144634 + 0.00929503i
\(590\) −16.8523 + 3.18770i −0.693800 + 0.131236i
\(591\) −1.75165 12.1830i −0.0720532 0.501141i
\(592\) 0.0936290 1.30911i 0.00384813 0.0538039i
\(593\) −7.68184 35.3128i −0.315455 1.45012i −0.812785 0.582563i \(-0.802050\pi\)
0.497330 0.867561i \(-0.334314\pi\)
\(594\) 3.59056 4.14373i 0.147323 0.170019i
\(595\) 40.7788 + 1.11163i 1.67177 + 0.0455725i
\(596\) 5.89599 2.69261i 0.241509 0.110294i
\(597\) −12.4156 12.4156i −0.508138 0.508138i
\(598\) 16.3120 + 16.2380i 0.667047 + 0.664020i
\(599\) 32.2679i 1.31843i −0.751954 0.659215i \(-0.770889\pi\)
0.751954 0.659215i \(-0.229111\pi\)
\(600\) 3.15746 + 0.631198i 0.128903 + 0.0257686i
\(601\) 11.9329 3.50381i 0.486753 0.142924i −0.0291423 0.999575i \(-0.509278\pi\)
0.515895 + 0.856652i \(0.327459\pi\)
\(602\) 1.61874 + 22.6330i 0.0659751 + 0.922452i
\(603\) 30.5194 6.63910i 1.24285 0.270365i
\(604\) 2.32484 2.01449i 0.0945966 0.0819684i
\(605\) 19.1209 + 3.28328i 0.777375 + 0.133484i
\(606\) 12.0383 + 3.53476i 0.489022 + 0.143590i
\(607\) 1.51600 6.96893i 0.0615325 0.282860i −0.936091 0.351757i \(-0.885584\pi\)
0.997624 + 0.0688969i \(0.0219480\pi\)
\(608\) 0.624742 + 0.834558i 0.0253366 + 0.0338458i
\(609\) 0.961311 2.10498i 0.0389543 0.0852980i
\(610\) −0.336705 7.62204i −0.0136328 0.308607i
\(611\) −8.06569 + 56.0981i −0.326303 + 2.26949i
\(612\) −15.1655 3.29905i −0.613028 0.133356i
\(613\) −11.5562 + 6.31019i −0.466752 + 0.254866i −0.695372 0.718650i \(-0.744761\pi\)
0.228620 + 0.973516i \(0.426579\pi\)
\(614\) −3.80963 + 0.547743i −0.153744 + 0.0221051i
\(615\) 13.1852 + 5.33146i 0.531679 + 0.214985i
\(616\) −3.89710 2.50452i −0.157019 0.100910i
\(617\) −10.2915 + 0.736065i −0.414322 + 0.0296329i −0.276944 0.960886i \(-0.589322\pi\)
−0.137377 + 0.990519i \(0.543867\pi\)
\(618\) −4.02153 + 7.36488i −0.161770 + 0.296259i
\(619\) −3.41915 7.48689i −0.137427 0.300923i 0.828388 0.560154i \(-0.189258\pi\)
−0.965815 + 0.259231i \(0.916531\pi\)
\(620\) −0.851535 0.275451i −0.0341985 0.0110624i
\(621\) 14.4903 9.35895i 0.581474 0.375562i
\(622\) −9.60991 + 9.60991i −0.385322 + 0.385322i
\(623\) 3.44950 9.24847i 0.138201 0.370532i
\(624\) −0.870735 2.96545i −0.0348573 0.118713i
\(625\) −23.0786 9.61126i −0.923146 0.384451i
\(626\) −1.02031 + 1.58763i −0.0407798 + 0.0634546i
\(627\) 1.02078 + 0.0730078i 0.0407661 + 0.00291565i
\(628\) −5.23667 3.92012i −0.208966 0.156430i
\(629\) −2.21977 + 7.55984i −0.0885079 + 0.301430i
\(630\) −16.9847 + 4.48824i −0.676688 + 0.178816i
\(631\) 17.6540 + 2.53826i 0.702793 + 0.101046i 0.484441 0.874824i \(-0.339023\pi\)
0.218352 + 0.975870i \(0.429932\pi\)
\(632\) −0.712380 + 0.265704i −0.0283370 + 0.0105691i
\(633\) 6.56662 2.44922i 0.261000 0.0973479i
\(634\) −31.8071 4.57317i −1.26322 0.181624i
\(635\) −20.3941 11.8686i −0.809314 0.470992i
\(636\) 1.80036 6.13145i 0.0713888 0.243128i
\(637\) −8.58759 6.42859i −0.340253 0.254710i
\(638\) 1.79790 + 0.128589i 0.0711797 + 0.00509087i
\(639\) −2.91365 + 4.53372i −0.115262 + 0.179351i
\(640\) −0.534674 + 2.17120i −0.0211348 + 0.0858243i
\(641\) −6.59443 22.4586i −0.260464 0.887060i −0.981060 0.193705i \(-0.937950\pi\)
0.720596 0.693356i \(-0.243869\pi\)
\(642\) 1.73187 4.64333i 0.0683516 0.183258i
\(643\) −0.434144 + 0.434144i −0.0171210 + 0.0171210i −0.715615 0.698494i \(-0.753854\pi\)
0.698494 + 0.715615i \(0.253854\pi\)
\(644\) −9.56914 10.9928i −0.377077 0.433176i
\(645\) 3.30918 10.2301i 0.130299 0.402809i
\(646\) −2.59982 5.69281i −0.102288 0.223980i
\(647\) −2.00015 + 3.66301i −0.0786342 + 0.144008i −0.914038 0.405630i \(-0.867052\pi\)
0.835403 + 0.549637i \(0.185234\pi\)
\(648\) 5.42567 0.388052i 0.213140 0.0152441i
\(649\) −9.83621 6.32135i −0.386105 0.248135i
\(650\) 2.11595 + 23.9027i 0.0829943 + 0.937542i
\(651\) −0.775324 + 0.111475i −0.0303873 + 0.00436904i
\(652\) −6.14486 + 3.35535i −0.240651 + 0.131406i
\(653\) −11.2747 2.45265i −0.441211 0.0959796i −0.0135284 0.999908i \(-0.504306\pi\)
−0.427683 + 0.903929i \(0.640670\pi\)
\(654\) −0.506587 + 3.52339i −0.0198091 + 0.137775i
\(655\) −35.0146 32.0519i −1.36813 1.25237i
\(656\) −4.10290 + 8.98410i −0.160191 + 0.350770i
\(657\) −0.404770 0.540709i −0.0157916 0.0210951i
\(658\) 7.62841 35.0672i 0.297386 1.36706i
\(659\) −40.2541 11.8197i −1.56808 0.460429i −0.621635 0.783307i \(-0.713531\pi\)
−0.946441 + 0.322878i \(0.895350\pi\)
\(660\) 1.26710 + 1.79246i 0.0493217 + 0.0697714i
\(661\) −2.35141 + 2.03751i −0.0914592 + 0.0792498i −0.699390 0.714740i \(-0.746545\pi\)
0.607931 + 0.793990i \(0.292000\pi\)
\(662\) 9.83806 2.14014i 0.382367 0.0831789i
\(663\) 1.32363 + 18.5067i 0.0514054 + 0.718741i
\(664\) −5.51198 + 1.61846i −0.213906 + 0.0628086i
\(665\) −5.55327 4.39826i −0.215347 0.170557i
\(666\) 3.39305i 0.131478i
\(667\) 5.31777 + 1.96966i 0.205905 + 0.0762656i
\(668\) 17.0047 + 17.0047i 0.657933 + 0.657933i
\(669\) 14.6456 6.68844i 0.566233 0.258590i
\(670\) −0.736137 + 27.0043i −0.0284395 + 1.04327i
\(671\) 3.40605 3.93079i 0.131489 0.151746i
\(672\) 0.415998 + 1.91231i 0.0160475 + 0.0737691i
\(673\) 1.25616 17.5634i 0.0484213 0.677018i −0.914044 0.405614i \(-0.867058\pi\)
0.962466 0.271404i \(-0.0874878\pi\)
\(674\) 2.96890 + 20.6491i 0.114358 + 0.795375i
\(675\) 17.8419 + 2.25835i 0.686733 + 0.0869239i
\(676\) 8.44005 5.42409i 0.324617 0.208619i
\(677\) −3.17017 + 2.37316i −0.121839 + 0.0912079i −0.658460 0.752616i \(-0.728792\pi\)
0.536620 + 0.843824i \(0.319701\pi\)
\(678\) −3.98615 10.6873i −0.153087 0.410443i
\(679\) −39.5292 18.0524i −1.51699 0.692787i
\(680\) 5.90709 12.0542i 0.226526 0.462256i
\(681\) 2.36759 + 3.68405i 0.0907264 + 0.141173i
\(682\) −0.292402 0.535494i −0.0111967 0.0205051i
\(683\) 18.7189 25.0055i 0.716258 0.956809i −0.283740 0.958901i \(-0.591575\pi\)
0.999998 + 0.00209242i \(0.000666039\pi\)
\(684\) 1.76494 + 2.03685i 0.0674841 + 0.0778808i
\(685\) 7.13960 + 0.706638i 0.272790 + 0.0269993i
\(686\) −10.9432 9.48238i −0.417815 0.362039i
\(687\) −10.1207 5.52635i −0.386131 0.210843i
\(688\) 6.99589 + 2.60933i 0.266716 + 0.0994799i
\(689\) 47.6231 1.81430
\(690\) 2.25103 + 6.52882i 0.0856952 + 0.248548i
\(691\) 26.1551 0.994988 0.497494 0.867467i \(-0.334254\pi\)
0.497494 + 0.867467i \(0.334254\pi\)
\(692\) 9.33157 + 3.48050i 0.354733 + 0.132309i
\(693\) −10.5114 5.73963i −0.399293 0.218031i
\(694\) −8.08127 7.00246i −0.306761 0.265810i
\(695\) −7.83015 9.55038i −0.297014 0.362266i
\(696\) −0.498664 0.575489i −0.0189018 0.0218138i
\(697\) 35.5324 47.4658i 1.34589 1.79789i
\(698\) −2.98414 5.46505i −0.112951 0.206855i
\(699\) 3.14901 + 4.89996i 0.119107 + 0.185334i
\(700\) −0.256676 15.1926i −0.00970144 0.574225i
\(701\) 28.2179 + 12.8867i 1.06577 + 0.486722i 0.869554 0.493838i \(-0.164406\pi\)
0.196219 + 0.980560i \(0.437134\pi\)
\(702\) −6.03249 16.1737i −0.227682 0.610438i
\(703\) 1.09531 0.819942i 0.0413106 0.0309247i
\(704\) −1.28239 + 0.824140i −0.0483318 + 0.0310609i
\(705\) −9.58008 + 14.0498i −0.360807 + 0.529146i
\(706\) −3.28798 22.8684i −0.123745 0.860663i
\(707\) 4.22374 59.0557i 0.158850 2.22102i
\(708\) 1.04997 + 4.82664i 0.0394604 + 0.181396i
\(709\) 4.44607 5.13104i 0.166976 0.192700i −0.666095 0.745867i \(-0.732035\pi\)
0.833070 + 0.553167i \(0.186581\pi\)
\(710\) −3.20498 3.38462i −0.120281 0.127022i
\(711\) −1.78801 + 0.816555i −0.0670555 + 0.0306232i
\(712\) −2.29676 2.29676i −0.0860748 0.0860748i
\(713\) −0.412286 1.87471i −0.0154402 0.0702086i
\(714\) 11.7486i 0.439682i
\(715\) −10.1566 + 12.8238i −0.379837 + 0.479584i
\(716\) 6.37693 1.87244i 0.238317 0.0699762i
\(717\) −0.439640 6.14697i −0.0164187 0.229563i
\(718\) 14.9356 3.24904i 0.557391 0.121253i
\(719\) 3.77983 3.27524i 0.140964 0.122146i −0.581525 0.813529i \(-0.697544\pi\)
0.722489 + 0.691383i \(0.242998\pi\)
\(720\) −0.978322 + 5.69748i −0.0364599 + 0.212333i
\(721\) 37.9943 + 11.1561i 1.41498 + 0.415476i
\(722\) 3.80773 17.5038i 0.141709 0.651425i
\(723\) −8.81773 11.7791i −0.327935 0.438070i
\(724\) −3.96852 + 8.68986i −0.147489 + 0.322956i
\(725\) 2.92069 + 5.14045i 0.108472 + 0.190912i
\(726\) 0.795170 5.53053i 0.0295115 0.205257i
\(727\) 49.3607 + 10.7378i 1.83069 + 0.398241i 0.989740 0.142877i \(-0.0456354\pi\)
0.840946 + 0.541119i \(0.181999\pi\)
\(728\) −12.8006 + 6.98967i −0.474423 + 0.259054i
\(729\) 7.04136 1.01240i 0.260791 0.0374961i
\(730\) 0.537818 0.228112i 0.0199055 0.00844281i
\(731\) −37.7087 24.2339i −1.39471 0.896324i
\(732\) −2.19168 + 0.156752i −0.0810069 + 0.00579373i
\(733\) −8.99307 + 16.4696i −0.332167 + 0.608318i −0.989374 0.145392i \(-0.953556\pi\)
0.657207 + 0.753710i \(0.271738\pi\)
\(734\) 3.36541 + 7.36921i 0.124219 + 0.272003i
\(735\) −1.46499 2.86594i −0.0540370 0.105712i
\(736\) −4.59848 + 1.36160i −0.169502 + 0.0501894i
\(737\) −13.0222 + 13.0222i −0.479680 + 0.479680i
\(738\) −8.92317 + 23.9240i −0.328467 + 0.880653i
\(739\) 11.0149 + 37.5133i 0.405190 + 1.37995i 0.869350 + 0.494198i \(0.164538\pi\)
−0.464160 + 0.885751i \(0.653644\pi\)
\(740\) 2.84959 + 0.701733i 0.104753 + 0.0257962i
\(741\) 1.74193 2.71049i 0.0639913 0.0995725i
\(742\) −30.0788 2.15128i −1.10423 0.0789758i
\(743\) −23.7459 17.7760i −0.871153 0.652137i 0.0672284 0.997738i \(-0.478584\pi\)
−0.938382 + 0.345600i \(0.887675\pi\)
\(744\) −0.0726174 + 0.247312i −0.00266228 + 0.00906690i
\(745\) 3.70285 + 14.0126i 0.135662 + 0.513382i
\(746\) 23.3940 + 3.36355i 0.856516 + 0.123148i
\(747\) −13.9152 + 5.19011i −0.509132 + 0.189896i
\(748\) 8.57426 3.19803i 0.313506 0.116932i
\(749\) −23.1482 3.32821i −0.845816 0.121610i
\(750\) −2.58589 + 6.71959i −0.0944233 + 0.245365i
\(751\) 6.11225 20.8164i 0.223039 0.759601i −0.769604 0.638522i \(-0.779546\pi\)
0.992643 0.121080i \(-0.0386356\pi\)
\(752\) −9.45371 7.07696i −0.344741 0.258070i
\(753\) −7.12234 0.509400i −0.259552 0.0185636i
\(754\) 3.06806 4.77400i 0.111732 0.173859i
\(755\) 3.55979 + 5.88585i 0.129554 + 0.214208i
\(756\) 3.07951 + 10.4878i 0.112001 + 0.381439i
\(757\) 15.2526 40.8938i 0.554365 1.48631i −0.293426 0.955982i \(-0.594796\pi\)
0.847792 0.530329i \(-0.177932\pi\)
\(758\) 14.2248 14.2248i 0.516669 0.516669i
\(759\) −1.94601 + 4.28694i −0.0706357 + 0.155606i
\(760\) −2.07563 + 1.06100i −0.0752908 + 0.0384866i
\(761\) 5.37924 + 11.7789i 0.194997 + 0.426985i 0.981722 0.190319i \(-0.0609522\pi\)
−0.786725 + 0.617304i \(0.788225\pi\)
\(762\) −3.25683 + 5.96444i −0.117983 + 0.216069i
\(763\) 16.7549 1.19834i 0.606569 0.0433827i
\(764\) −14.2071 9.13034i −0.513994 0.330324i
\(765\) 13.0094 32.1735i 0.470356 1.16323i
\(766\) −29.5833 + 4.25344i −1.06889 + 0.153683i
\(767\) −32.3085 + 17.6418i −1.16659 + 0.637008i
\(768\) 0.629269 + 0.136889i 0.0227068 + 0.00493956i
\(769\) 3.68508 25.6303i 0.132887 0.924252i −0.808877 0.587978i \(-0.799924\pi\)
0.941764 0.336274i \(-0.109167\pi\)
\(770\) 6.99423 7.64073i 0.252055 0.275353i
\(771\) 1.36145 2.98116i 0.0490314 0.107364i
\(772\) <