Properties

Label 441.2.y.a.277.36
Level $441$
Weight $2$
Character 441.277
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 277.36
Character \(\chi\) \(=\) 441.277
Dual form 441.2.y.a.121.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.893702 + 0.430384i) q^{2} +(0.804260 - 1.53400i) q^{3} +(-0.633506 - 0.794392i) q^{4} +(-1.72952 - 0.533487i) q^{5} +(1.37898 - 1.02480i) q^{6} +(-0.957626 + 2.46636i) q^{7} +(-0.665725 - 2.91673i) q^{8} +(-1.70633 - 2.46748i) q^{9} +O(q^{10})\) \(q+(0.893702 + 0.430384i) q^{2} +(0.804260 - 1.53400i) q^{3} +(-0.633506 - 0.794392i) q^{4} +(-1.72952 - 0.533487i) q^{5} +(1.37898 - 1.02480i) q^{6} +(-0.957626 + 2.46636i) q^{7} +(-0.665725 - 2.91673i) q^{8} +(-1.70633 - 2.46748i) q^{9} +(-1.31607 - 1.22114i) q^{10} +(-0.0695797 - 0.928476i) q^{11} +(-1.72810 + 0.332903i) q^{12} +(-0.415671 - 5.54674i) q^{13} +(-1.91732 + 1.79205i) q^{14} +(-2.20936 + 2.22403i) q^{15} +(0.208164 - 0.912027i) q^{16} +(-1.33842 - 3.41025i) q^{17} +(-0.462989 - 2.93957i) q^{18} +(2.79980 + 4.84939i) q^{19} +(0.671865 + 1.71189i) q^{20} +(3.01323 + 3.45260i) q^{21} +(0.337418 - 0.859728i) q^{22} +(5.31826 - 0.801599i) q^{23} +(-5.00969 - 1.32459i) q^{24} +(-1.42456 - 0.971245i) q^{25} +(2.01575 - 5.13604i) q^{26} +(-5.15745 + 0.633023i) q^{27} +(2.56592 - 0.801727i) q^{28} +(0.146472 + 0.373204i) q^{29} +(-2.93170 + 1.03675i) q^{30} -5.66247 q^{31} +(-3.15208 + 3.95258i) q^{32} +(-1.48025 - 0.640001i) q^{33} +(0.271565 - 3.62378i) q^{34} +(2.97201 - 3.75475i) q^{35} +(-0.879171 + 2.91866i) q^{36} +(-0.0638757 - 0.00962771i) q^{37} +(0.415083 + 5.53890i) q^{38} +(-8.84303 - 3.82339i) q^{39} +(-0.404652 + 5.39971i) q^{40} +(7.06791 - 6.55807i) q^{41} +(1.20699 + 4.38244i) q^{42} +(9.16914 + 8.50772i) q^{43} +(-0.693495 + 0.643469i) q^{44} +(1.63477 + 5.17786i) q^{45} +(5.09794 + 1.57251i) q^{46} +(3.33654 + 1.60679i) q^{47} +(-1.23163 - 1.05283i) q^{48} +(-5.16591 - 4.72371i) q^{49} +(-0.855120 - 1.48111i) q^{50} +(-6.30777 - 0.689581i) q^{51} +(-4.14296 + 3.84410i) q^{52} +(12.1970 - 1.83840i) q^{53} +(-4.88167 - 1.65395i) q^{54} +(-0.374990 + 1.64294i) q^{55} +(7.83124 + 1.15122i) q^{56} +(9.69075 - 0.394724i) q^{57} +(-0.0297190 + 0.396572i) q^{58} +(1.30645 - 5.72393i) q^{59} +(3.16639 + 0.346158i) q^{60} +(-0.609005 + 0.763668i) q^{61} +(-5.06057 - 2.43704i) q^{62} +(7.71972 - 1.84551i) q^{63} +(-6.20383 + 2.98761i) q^{64} +(-2.24020 + 9.81497i) q^{65} +(-1.04745 - 1.20905i) q^{66} +8.30462 q^{67} +(-1.86117 + 3.22364i) q^{68} +(3.04761 - 8.80293i) q^{69} +(4.27208 - 2.07652i) q^{70} +(2.26485 + 2.84004i) q^{71} +(-6.06102 + 6.61957i) q^{72} +(-0.211896 + 2.82755i) q^{73} +(-0.0529422 - 0.0360954i) q^{74} +(-2.63561 + 1.40414i) q^{75} +(2.07863 - 5.29625i) q^{76} +(2.35659 + 0.717524i) q^{77} +(-6.25751 - 7.22287i) q^{78} +10.2986 q^{79} +(-0.846579 + 1.46632i) q^{80} +(-3.17687 + 8.42066i) q^{81} +(9.13910 - 2.81904i) q^{82} +(0.822643 - 10.9774i) q^{83} +(0.833816 - 4.58093i) q^{84} +(0.495511 + 6.61213i) q^{85} +(4.53289 + 11.5496i) q^{86} +(0.690297 + 0.0754650i) q^{87} +(-2.66179 + 0.821055i) q^{88} +(-9.58555 - 6.53532i) q^{89} +(-0.767472 + 5.33104i) q^{90} +(14.0783 + 4.28651i) q^{91} +(-4.00594 - 3.71697i) q^{92} +(-4.55410 + 8.68625i) q^{93} +(2.29033 + 2.87199i) q^{94} +(-2.25522 - 9.88078i) q^{95} +(3.52818 + 8.01421i) q^{96} +(1.03004 - 1.78409i) q^{97} +(-2.58377 - 6.44491i) q^{98} +(-2.17227 + 1.75597i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} + O(q^{10}) \) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.893702 + 0.430384i 0.631943 + 0.304328i 0.722298 0.691582i \(-0.243086\pi\)
−0.0903550 + 0.995910i \(0.528800\pi\)
\(3\) 0.804260 1.53400i 0.464340 0.885657i
\(4\) −0.633506 0.794392i −0.316753 0.397196i
\(5\) −1.72952 0.533487i −0.773466 0.238583i −0.117196 0.993109i \(-0.537391\pi\)
−0.656270 + 0.754526i \(0.727867\pi\)
\(6\) 1.37898 1.02480i 0.562966 0.418373i
\(7\) −0.957626 + 2.46636i −0.361948 + 0.932198i
\(8\) −0.665725 2.91673i −0.235369 1.03122i
\(9\) −1.70633 2.46748i −0.568777 0.822492i
\(10\) −1.31607 1.22114i −0.416179 0.386158i
\(11\) −0.0695797 0.928476i −0.0209791 0.279946i −0.997821 0.0659828i \(-0.978982\pi\)
0.976842 0.213963i \(-0.0686373\pi\)
\(12\) −1.72810 + 0.332903i −0.498860 + 0.0961007i
\(13\) −0.415671 5.54674i −0.115286 1.53839i −0.692273 0.721636i \(-0.743390\pi\)
0.576986 0.816754i \(-0.304229\pi\)
\(14\) −1.91732 + 1.79205i −0.512425 + 0.478945i
\(15\) −2.20936 + 2.22403i −0.570453 + 0.574242i
\(16\) 0.208164 0.912027i 0.0520410 0.228007i
\(17\) −1.33842 3.41025i −0.324615 0.827106i −0.996274 0.0862455i \(-0.972513\pi\)
0.671659 0.740861i \(-0.265582\pi\)
\(18\) −0.462989 2.93957i −0.109127 0.692863i
\(19\) 2.79980 + 4.84939i 0.642317 + 1.11253i 0.984914 + 0.173044i \(0.0553602\pi\)
−0.342597 + 0.939483i \(0.611306\pi\)
\(20\) 0.671865 + 1.71189i 0.150234 + 0.382789i
\(21\) 3.01323 + 3.45260i 0.657541 + 0.753419i
\(22\) 0.337418 0.859728i 0.0719378 0.183295i
\(23\) 5.31826 0.801599i 1.10893 0.167145i 0.431061 0.902323i \(-0.358140\pi\)
0.677874 + 0.735178i \(0.262901\pi\)
\(24\) −5.00969 1.32459i −1.02260 0.270380i
\(25\) −1.42456 0.971245i −0.284911 0.194249i
\(26\) 2.01575 5.13604i 0.395320 1.00726i
\(27\) −5.15745 + 0.633023i −0.992552 + 0.121825i
\(28\) 2.56592 0.801727i 0.484914 0.151512i
\(29\) 0.146472 + 0.373204i 0.0271991 + 0.0693022i 0.943828 0.330437i \(-0.107196\pi\)
−0.916629 + 0.399739i \(0.869101\pi\)
\(30\) −2.93170 + 1.03675i −0.535252 + 0.189283i
\(31\) −5.66247 −1.01701 −0.508505 0.861059i \(-0.669802\pi\)
−0.508505 + 0.861059i \(0.669802\pi\)
\(32\) −3.15208 + 3.95258i −0.557214 + 0.698725i
\(33\) −1.48025 0.640001i −0.257678 0.111410i
\(34\) 0.271565 3.62378i 0.0465730 0.621474i
\(35\) 2.97201 3.75475i 0.502361 0.634669i
\(36\) −0.879171 + 2.91866i −0.146529 + 0.486443i
\(37\) −0.0638757 0.00962771i −0.0105011 0.00158279i 0.143790 0.989608i \(-0.454071\pi\)
−0.154291 + 0.988025i \(0.549309\pi\)
\(38\) 0.415083 + 5.53890i 0.0673354 + 0.898528i
\(39\) −8.84303 3.82339i −1.41602 0.612232i
\(40\) −0.404652 + 5.39971i −0.0639811 + 0.853769i
\(41\) 7.06791 6.55807i 1.10382 1.02420i 0.104262 0.994550i \(-0.466752\pi\)
0.999560 0.0296479i \(-0.00943860\pi\)
\(42\) 1.20699 + 4.38244i 0.186242 + 0.676226i
\(43\) 9.16914 + 8.50772i 1.39828 + 1.29742i 0.903624 + 0.428327i \(0.140897\pi\)
0.494657 + 0.869088i \(0.335294\pi\)
\(44\) −0.693495 + 0.643469i −0.104548 + 0.0970066i
\(45\) 1.63477 + 5.17786i 0.243697 + 0.771870i
\(46\) 5.09794 + 1.57251i 0.751651 + 0.231853i
\(47\) 3.33654 + 1.60679i 0.486684 + 0.234375i 0.661101 0.750297i \(-0.270090\pi\)
−0.174417 + 0.984672i \(0.555804\pi\)
\(48\) −1.23163 1.05283i −0.177771 0.151963i
\(49\) −5.16591 4.72371i −0.737987 0.674815i
\(50\) −0.855120 1.48111i −0.120932 0.209461i
\(51\) −6.30777 0.689581i −0.883264 0.0965607i
\(52\) −4.14296 + 3.84410i −0.574525 + 0.533081i
\(53\) 12.1970 1.83840i 1.67539 0.252524i 0.758500 0.651673i \(-0.225932\pi\)
0.916886 + 0.399149i \(0.130694\pi\)
\(54\) −4.88167 1.65395i −0.664311 0.225074i
\(55\) −0.374990 + 1.64294i −0.0505637 + 0.221534i
\(56\) 7.83124 + 1.15122i 1.04649 + 0.153838i
\(57\) 9.69075 0.394724i 1.28357 0.0522825i
\(58\) −0.0297190 + 0.396572i −0.00390229 + 0.0520725i
\(59\) 1.30645 5.72393i 0.170085 0.745192i −0.815877 0.578225i \(-0.803746\pi\)
0.985963 0.166967i \(-0.0533973\pi\)
\(60\) 3.16639 + 0.346158i 0.408779 + 0.0446888i
\(61\) −0.609005 + 0.763668i −0.0779751 + 0.0977777i −0.819289 0.573381i \(-0.805632\pi\)
0.741314 + 0.671158i \(0.234203\pi\)
\(62\) −5.06057 2.43704i −0.642693 0.309504i
\(63\) 7.71972 1.84551i 0.972593 0.232513i
\(64\) −6.20383 + 2.98761i −0.775479 + 0.373451i
\(65\) −2.24020 + 9.81497i −0.277863 + 1.21740i
\(66\) −1.04745 1.20905i −0.128933 0.148823i
\(67\) 8.30462 1.01457 0.507285 0.861778i \(-0.330649\pi\)
0.507285 + 0.861778i \(0.330649\pi\)
\(68\) −1.86117 + 3.22364i −0.225700 + 0.390924i
\(69\) 3.04761 8.80293i 0.366890 1.05975i
\(70\) 4.27208 2.07652i 0.510611 0.248192i
\(71\) 2.26485 + 2.84004i 0.268789 + 0.337050i 0.897847 0.440308i \(-0.145131\pi\)
−0.629058 + 0.777358i \(0.716559\pi\)
\(72\) −6.06102 + 6.61957i −0.714298 + 0.780123i
\(73\) −0.211896 + 2.82755i −0.0248005 + 0.330940i 0.970979 + 0.239164i \(0.0768734\pi\)
−0.995780 + 0.0917760i \(0.970746\pi\)
\(74\) −0.0529422 0.0360954i −0.00615441 0.00419601i
\(75\) −2.63561 + 1.40414i −0.304334 + 0.162136i
\(76\) 2.07863 5.29625i 0.238435 0.607522i
\(77\) 2.35659 + 0.717524i 0.268559 + 0.0817694i
\(78\) −6.25751 7.22287i −0.708524 0.817829i
\(79\) 10.2986 1.15868 0.579342 0.815085i \(-0.303310\pi\)
0.579342 + 0.815085i \(0.303310\pi\)
\(80\) −0.846579 + 1.46632i −0.0946504 + 0.163939i
\(81\) −3.17687 + 8.42066i −0.352986 + 0.935629i
\(82\) 9.13910 2.81904i 1.00924 0.311311i
\(83\) 0.822643 10.9774i 0.0902968 1.20493i −0.749492 0.662013i \(-0.769702\pi\)
0.839789 0.542913i \(-0.182679\pi\)
\(84\) 0.833816 4.58093i 0.0909768 0.499820i
\(85\) 0.495511 + 6.61213i 0.0537457 + 0.717186i
\(86\) 4.53289 + 11.5496i 0.488795 + 1.24543i
\(87\) 0.690297 + 0.0754650i 0.0740076 + 0.00809070i
\(88\) −2.66179 + 0.821055i −0.283748 + 0.0875248i
\(89\) −9.58555 6.53532i −1.01607 0.692742i −0.0637848 0.997964i \(-0.520317\pi\)
−0.952281 + 0.305221i \(0.901270\pi\)
\(90\) −0.767472 + 5.33104i −0.0808986 + 0.561941i
\(91\) 14.0783 + 4.28651i 1.47581 + 0.449348i
\(92\) −4.00594 3.71697i −0.417648 0.387521i
\(93\) −4.55410 + 8.68625i −0.472239 + 0.900722i
\(94\) 2.29033 + 2.87199i 0.236230 + 0.296223i
\(95\) −2.25522 9.88078i −0.231381 1.01375i
\(96\) 3.52818 + 8.01421i 0.360094 + 0.817947i
\(97\) 1.03004 1.78409i 0.104585 0.181147i −0.808984 0.587831i \(-0.799982\pi\)
0.913569 + 0.406685i \(0.133315\pi\)
\(98\) −2.58377 6.44491i −0.261001 0.651035i
\(99\) −2.17227 + 1.75597i −0.218321 + 0.176482i
\(100\) 0.130915 + 1.74695i 0.0130915 + 0.174695i
\(101\) −0.262969 + 0.244000i −0.0261664 + 0.0242789i −0.693148 0.720796i \(-0.743777\pi\)
0.666981 + 0.745075i \(0.267586\pi\)
\(102\) −5.34048 3.33105i −0.528787 0.329823i
\(103\) −13.3057 4.10428i −1.31105 0.404406i −0.441064 0.897476i \(-0.645399\pi\)
−0.869990 + 0.493069i \(0.835875\pi\)
\(104\) −15.9016 + 4.90501i −1.55928 + 0.480975i
\(105\) −3.36953 7.57887i −0.328833 0.739622i
\(106\) 11.6917 + 3.60641i 1.13560 + 0.350286i
\(107\) −16.0785 10.9622i −1.55437 1.05975i −0.968394 0.249424i \(-0.919759\pi\)
−0.585976 0.810328i \(-0.699289\pi\)
\(108\) 3.77014 + 3.69601i 0.362782 + 0.355649i
\(109\) −11.5754 + 7.89199i −1.10872 + 0.755916i −0.972067 0.234703i \(-0.924588\pi\)
−0.136658 + 0.990618i \(0.543636\pi\)
\(110\) −1.04223 + 1.30691i −0.0993723 + 0.124609i
\(111\) −0.0661416 + 0.0902423i −0.00627788 + 0.00856542i
\(112\) 2.05005 + 1.38679i 0.193711 + 0.131039i
\(113\) 0.466465 + 0.318031i 0.0438813 + 0.0299178i 0.585062 0.810989i \(-0.301070\pi\)
−0.541181 + 0.840906i \(0.682023\pi\)
\(114\) 8.83053 + 3.81798i 0.827055 + 0.357587i
\(115\) −9.62570 1.45084i −0.897601 0.135292i
\(116\) 0.203679 0.352783i 0.0189111 0.0327551i
\(117\) −12.9772 + 10.4902i −1.19974 + 0.969823i
\(118\) 3.63106 4.55321i 0.334267 0.419157i
\(119\) 9.69262 0.0353000i 0.888521 0.00323595i
\(120\) 7.95772 + 4.96351i 0.726437 + 0.453104i
\(121\) 10.0199 1.51026i 0.910901 0.137296i
\(122\) −0.872940 + 0.420386i −0.0790323 + 0.0380599i
\(123\) −4.37565 16.1166i −0.394539 1.45318i
\(124\) 3.58721 + 4.49822i 0.322141 + 0.403952i
\(125\) 7.58803 + 9.51508i 0.678694 + 0.851055i
\(126\) 7.69341 + 1.67311i 0.685384 + 0.149052i
\(127\) −7.11419 + 8.92092i −0.631283 + 0.791603i −0.989883 0.141888i \(-0.954683\pi\)
0.358600 + 0.933491i \(0.383254\pi\)
\(128\) 3.28089 0.289992
\(129\) 20.4252 7.22307i 1.79834 0.635956i
\(130\) −6.22629 + 7.80752i −0.546081 + 0.684764i
\(131\) −11.0322 10.2364i −0.963888 0.894358i 0.0305654 0.999533i \(-0.490269\pi\)
−0.994454 + 0.105175i \(0.966460\pi\)
\(132\) 0.429333 + 1.58134i 0.0373687 + 0.137638i
\(133\) −14.6415 + 2.26142i −1.26958 + 0.196090i
\(134\) 7.42186 + 3.57418i 0.641151 + 0.308762i
\(135\) 9.25763 + 1.65660i 0.796770 + 0.142578i
\(136\) −9.05575 + 6.17411i −0.776524 + 0.529425i
\(137\) 9.64573 2.97531i 0.824090 0.254198i 0.146101 0.989270i \(-0.453328\pi\)
0.677990 + 0.735071i \(0.262851\pi\)
\(138\) 6.51230 6.55555i 0.554364 0.558046i
\(139\) 2.80394 2.60167i 0.237827 0.220671i −0.552250 0.833678i \(-0.686231\pi\)
0.790077 + 0.613007i \(0.210040\pi\)
\(140\) −4.86553 + 0.0177200i −0.411212 + 0.00149761i
\(141\) 5.14827 3.82598i 0.433562 0.322205i
\(142\) 0.801798 + 3.51291i 0.0672854 + 0.294797i
\(143\) −5.12110 + 0.771881i −0.428248 + 0.0645480i
\(144\) −2.60560 + 1.04258i −0.217133 + 0.0868816i
\(145\) −0.0542267 0.723605i −0.00450328 0.0600921i
\(146\) −1.40631 + 2.43580i −0.116387 + 0.201588i
\(147\) −11.4009 + 4.12543i −0.940332 + 0.340259i
\(148\) 0.0328175 + 0.0568415i 0.00269758 + 0.00467234i
\(149\) −7.45613 + 5.08350i −0.610830 + 0.416457i −0.828837 0.559490i \(-0.810997\pi\)
0.218007 + 0.975947i \(0.430045\pi\)
\(150\) −2.95977 + 0.120557i −0.241664 + 0.00984348i
\(151\) −1.53888 + 3.92101i −0.125232 + 0.319087i −0.979716 0.200392i \(-0.935779\pi\)
0.854483 + 0.519479i \(0.173874\pi\)
\(152\) 12.2805 11.3946i 0.996078 0.924225i
\(153\) −6.13091 + 9.12153i −0.495655 + 0.737432i
\(154\) 1.79728 + 1.65549i 0.144829 + 0.133403i
\(155\) 9.79337 + 3.02086i 0.786623 + 0.242641i
\(156\) 2.56485 + 9.44697i 0.205352 + 0.756363i
\(157\) −4.63349 + 20.3006i −0.369793 + 1.62017i 0.357551 + 0.933894i \(0.383612\pi\)
−0.727344 + 0.686274i \(0.759245\pi\)
\(158\) 9.20389 + 4.43236i 0.732222 + 0.352619i
\(159\) 6.98945 20.1888i 0.554299 1.60107i
\(160\) 7.56024 5.15449i 0.597690 0.407498i
\(161\) −3.11587 + 13.8844i −0.245565 + 1.09424i
\(162\) −6.46330 + 6.15829i −0.507805 + 0.483841i
\(163\) −8.51479 + 2.62646i −0.666930 + 0.205721i −0.609690 0.792640i \(-0.708706\pi\)
−0.0572396 + 0.998360i \(0.518230\pi\)
\(164\) −9.68724 1.46012i −0.756446 0.114016i
\(165\) 2.21869 + 1.89659i 0.172724 + 0.147649i
\(166\) 5.45970 9.45648i 0.423755 0.733965i
\(167\) 6.26847 + 0.944820i 0.485069 + 0.0731124i 0.387024 0.922070i \(-0.373503\pi\)
0.0980448 + 0.995182i \(0.468741\pi\)
\(168\) 8.06432 11.0873i 0.622176 0.855401i
\(169\) −17.7388 + 2.67369i −1.36452 + 0.205669i
\(170\) −2.40292 + 6.12254i −0.184295 + 0.469577i
\(171\) 7.18837 15.1831i 0.549709 1.16108i
\(172\) 0.949754 12.6736i 0.0724180 0.966352i
\(173\) −8.62132 10.8108i −0.655467 0.821929i 0.337375 0.941370i \(-0.390461\pi\)
−0.992841 + 0.119441i \(0.961890\pi\)
\(174\) 0.584441 + 0.364536i 0.0443064 + 0.0276354i
\(175\) 3.75964 2.58338i 0.284202 0.195285i
\(176\) −0.861279 0.129817i −0.0649214 0.00978532i
\(177\) −7.72979 6.60762i −0.581007 0.496659i
\(178\) −5.75393 9.96610i −0.431275 0.746991i
\(179\) 4.63715 + 11.8153i 0.346597 + 0.883114i 0.992782 + 0.119933i \(0.0382680\pi\)
−0.646185 + 0.763180i \(0.723637\pi\)
\(180\) 3.07761 4.57885i 0.229392 0.341288i
\(181\) 2.90154 1.39731i 0.215670 0.103861i −0.322930 0.946423i \(-0.604668\pi\)
0.538600 + 0.842562i \(0.318954\pi\)
\(182\) 10.7370 + 9.88996i 0.795880 + 0.733093i
\(183\) 0.681671 + 1.54840i 0.0503905 + 0.114461i
\(184\) −5.87855 14.9783i −0.433372 1.10422i
\(185\) 0.105338 + 0.0507282i 0.00774461 + 0.00372961i
\(186\) −7.80844 + 5.80291i −0.572543 + 0.425490i
\(187\) −3.07321 + 1.47998i −0.224735 + 0.108227i
\(188\) −0.837295 3.66843i −0.0610660 0.267548i
\(189\) 3.37764 13.3263i 0.245687 0.969349i
\(190\) 2.23704 9.80109i 0.162292 0.711046i
\(191\) 0.924652 + 4.05116i 0.0669055 + 0.293132i 0.997301 0.0734260i \(-0.0233933\pi\)
−0.930395 + 0.366558i \(0.880536\pi\)
\(192\) −0.406497 + 11.9195i −0.0293364 + 0.860217i
\(193\) 0.329171 + 1.44219i 0.0236942 + 0.103811i 0.985392 0.170300i \(-0.0544736\pi\)
−0.961698 + 0.274111i \(0.911616\pi\)
\(194\) 1.68839 1.15113i 0.121220 0.0826462i
\(195\) 13.2545 + 11.3303i 0.949174 + 0.811378i
\(196\) −0.479840 + 7.09625i −0.0342743 + 0.506875i
\(197\) 10.0714 0.717556 0.358778 0.933423i \(-0.383193\pi\)
0.358778 + 0.933423i \(0.383193\pi\)
\(198\) −2.69710 + 0.634408i −0.191675 + 0.0450854i
\(199\) 6.58417 + 2.03095i 0.466739 + 0.143970i 0.519200 0.854653i \(-0.326230\pi\)
−0.0524604 + 0.998623i \(0.516706\pi\)
\(200\) −1.88450 + 4.80163i −0.133254 + 0.339526i
\(201\) 6.67907 12.7393i 0.471106 0.898561i
\(202\) −0.340030 + 0.104885i −0.0239244 + 0.00737971i
\(203\) −1.06072 + 0.00386309i −0.0744481 + 0.000271136i
\(204\) 3.44821 + 5.44769i 0.241423 + 0.381415i
\(205\) −15.7228 + 7.57168i −1.09812 + 0.528829i
\(206\) −10.1250 9.39459i −0.705439 0.654552i
\(207\) −11.0526 11.7549i −0.768212 0.817022i
\(208\) −5.14531 0.775530i −0.356763 0.0537734i
\(209\) 4.30774 2.93696i 0.297972 0.203154i
\(210\) 0.250468 8.22345i 0.0172839 0.567472i
\(211\) −7.64126 5.20972i −0.526046 0.358652i 0.270992 0.962582i \(-0.412648\pi\)
−0.797038 + 0.603929i \(0.793601\pi\)
\(212\) −9.18729 8.52455i −0.630985 0.585469i
\(213\) 6.17816 1.19016i 0.423320 0.0815487i
\(214\) −9.65148 16.7169i −0.659762 1.14274i
\(215\) −11.3195 19.6059i −0.771982 1.33711i
\(216\) 5.27980 + 14.6215i 0.359245 + 0.994865i
\(217\) 5.42253 13.9657i 0.368105 0.948055i
\(218\) −13.7416 + 2.07121i −0.930697 + 0.140280i
\(219\) 4.16706 + 2.59914i 0.281584 + 0.175634i
\(220\) 1.54270 0.742924i 0.104009 0.0500879i
\(221\) −18.3594 + 8.84143i −1.23499 + 0.594739i
\(222\) −0.0979498 + 0.0521834i −0.00657396 + 0.00350232i
\(223\) 14.0054 2.11098i 0.937872 0.141362i 0.337719 0.941247i \(-0.390344\pi\)
0.600153 + 0.799885i \(0.295106\pi\)
\(224\) −6.73000 11.5593i −0.449667 0.772336i
\(225\) 0.0342378 + 5.17232i 0.00228252 + 0.344821i
\(226\) 0.280006 + 0.484984i 0.0186257 + 0.0322607i
\(227\) 4.66932 + 8.08751i 0.309914 + 0.536787i 0.978343 0.206989i \(-0.0663664\pi\)
−0.668429 + 0.743776i \(0.733033\pi\)
\(228\) −6.45271 7.44819i −0.427341 0.493268i
\(229\) 15.4221 + 14.3096i 1.01912 + 0.945607i 0.998531 0.0541810i \(-0.0172548\pi\)
0.0205908 + 0.999788i \(0.493445\pi\)
\(230\) −7.97809 5.43937i −0.526060 0.358661i
\(231\) 2.99600 3.03794i 0.197122 0.199882i
\(232\) 0.991025 0.675670i 0.0650640 0.0443599i
\(233\) −6.12665 0.923444i −0.401370 0.0604968i −0.0547446 0.998500i \(-0.517434\pi\)
−0.346626 + 0.938004i \(0.612673\pi\)
\(234\) −16.1126 + 3.78997i −1.05331 + 0.247758i
\(235\) −4.91341 4.55898i −0.320516 0.297395i
\(236\) −5.37468 + 2.58831i −0.349862 + 0.168485i
\(237\) 8.28276 15.7981i 0.538023 1.02620i
\(238\) 8.67751 + 4.14000i 0.562479 + 0.268357i
\(239\) 16.5941 5.11860i 1.07338 0.331095i 0.292817 0.956168i \(-0.405407\pi\)
0.780566 + 0.625074i \(0.214931\pi\)
\(240\) 1.56847 + 2.47796i 0.101244 + 0.159951i
\(241\) 10.3483 26.3670i 0.666592 1.69845i −0.0479441 0.998850i \(-0.515267\pi\)
0.714536 0.699599i \(-0.246638\pi\)
\(242\) 9.60481 + 2.96269i 0.617421 + 0.190449i
\(243\) 10.3623 + 11.6457i 0.664741 + 0.747074i
\(244\) 0.992460 0.0635358
\(245\) 6.41451 + 10.9257i 0.409808 + 0.698017i
\(246\) 3.02580 16.2867i 0.192918 1.03840i
\(247\) 25.7345 17.5455i 1.63745 1.11639i
\(248\) 3.76965 + 16.5159i 0.239373 + 1.04876i
\(249\) −16.1778 10.0906i −1.02522 0.639468i
\(250\) 2.68629 + 11.7694i 0.169896 + 0.744364i
\(251\) −0.743586 + 3.25786i −0.0469347 + 0.205634i −0.992958 0.118463i \(-0.962203\pi\)
0.946024 + 0.324097i \(0.105061\pi\)
\(252\) −6.35655 4.96334i −0.400425 0.312661i
\(253\) −1.11431 4.88211i −0.0700560 0.306935i
\(254\) −10.1974 + 4.91081i −0.639842 + 0.308131i
\(255\) 10.5415 + 4.55776i 0.660137 + 0.285418i
\(256\) 15.3398 + 7.38726i 0.958738 + 0.461704i
\(257\) 2.52968 + 6.44551i 0.157797 + 0.402060i 0.987806 0.155690i \(-0.0497601\pi\)
−0.830009 + 0.557750i \(0.811665\pi\)
\(258\) 21.3628 + 2.33543i 1.32999 + 0.145398i
\(259\) 0.0849144 0.148321i 0.00527633 0.00921622i
\(260\) 9.21611 4.43825i 0.571559 0.275248i
\(261\) 0.670942 0.998224i 0.0415303 0.0617885i
\(262\) −5.45393 13.8964i −0.336945 0.858521i
\(263\) 4.91691 + 8.51634i 0.303190 + 0.525140i 0.976857 0.213895i \(-0.0686150\pi\)
−0.673667 + 0.739035i \(0.735282\pi\)
\(264\) −0.881275 + 4.74354i −0.0542387 + 0.291945i
\(265\) −22.0757 3.32738i −1.35610 0.204399i
\(266\) −14.0584 4.28045i −0.861978 0.262451i
\(267\) −17.7345 + 9.44816i −1.08533 + 0.578218i
\(268\) −5.26103 6.59712i −0.321368 0.402983i
\(269\) −0.206010 + 2.74902i −0.0125607 + 0.167611i 0.987396 + 0.158271i \(0.0505920\pi\)
−0.999956 + 0.00933958i \(0.997027\pi\)
\(270\) 7.56059 + 5.46485i 0.460123 + 0.332580i
\(271\) 7.55238 19.2432i 0.458774 1.16894i −0.495128 0.868820i \(-0.664879\pi\)
0.953902 0.300118i \(-0.0970261\pi\)
\(272\) −3.38885 + 0.510787i −0.205479 + 0.0309710i
\(273\) 17.8982 18.1488i 1.08325 1.09841i
\(274\) 9.90094 + 1.49233i 0.598138 + 0.0901548i
\(275\) −0.802658 + 1.39024i −0.0484021 + 0.0838349i
\(276\) −8.92366 + 3.15571i −0.537141 + 0.189951i
\(277\) −20.7659 3.12996i −1.24770 0.188061i −0.508214 0.861231i \(-0.669694\pi\)
−0.739488 + 0.673170i \(0.764932\pi\)
\(278\) 3.62561 1.11835i 0.217449 0.0670743i
\(279\) 9.66205 + 13.9720i 0.578452 + 0.836483i
\(280\) −12.9301 6.16892i −0.772724 0.368663i
\(281\) 1.23147 0.839601i 0.0734633 0.0500864i −0.526031 0.850465i \(-0.676321\pi\)
0.599495 + 0.800379i \(0.295368\pi\)
\(282\) 6.24766 1.20355i 0.372043 0.0716705i
\(283\) −11.2967 5.44021i −0.671520 0.323387i 0.0668691 0.997762i \(-0.478699\pi\)
−0.738389 + 0.674375i \(0.764413\pi\)
\(284\) 0.821303 3.59836i 0.0487354 0.213524i
\(285\) −16.9709 4.48720i −1.00527 0.265799i
\(286\) −4.90894 1.51421i −0.290272 0.0895370i
\(287\) 9.40616 + 23.7122i 0.555228 + 1.39969i
\(288\) 15.1314 + 1.03327i 0.891626 + 0.0608859i
\(289\) 2.62348 2.43423i 0.154322 0.143190i
\(290\) 0.262966 0.670026i 0.0154419 0.0393453i
\(291\) −1.90837 3.01496i −0.111871 0.176740i
\(292\) 2.38042 1.62295i 0.139304 0.0949757i
\(293\) 5.04375 + 8.73604i 0.294659 + 0.510365i 0.974906 0.222619i \(-0.0714605\pi\)
−0.680246 + 0.732984i \(0.738127\pi\)
\(294\) −11.9645 1.21987i −0.697786 0.0711444i
\(295\) −5.31317 + 9.20268i −0.309345 + 0.535801i
\(296\) 0.0144422 + 0.192718i 0.000839435 + 0.0112015i
\(297\) 0.946601 + 4.74452i 0.0549273 + 0.275305i
\(298\) −8.85143 + 1.33414i −0.512749 + 0.0772845i
\(299\) −6.65691 29.1658i −0.384979 1.68670i
\(300\) 2.78511 + 1.20417i 0.160798 + 0.0695230i
\(301\) −29.7637 + 14.4672i −1.71555 + 0.833877i
\(302\) −3.06284 + 2.84190i −0.176247 + 0.163533i
\(303\) 0.162801 + 0.599635i 0.00935266 + 0.0344481i
\(304\) 5.00559 1.54402i 0.287090 0.0885557i
\(305\) 1.46069 0.995885i 0.0836391 0.0570242i
\(306\) −9.40497 + 5.51329i −0.537647 + 0.315174i
\(307\) 0.393523 + 0.189511i 0.0224596 + 0.0108160i 0.445080 0.895491i \(-0.353175\pi\)
−0.422620 + 0.906307i \(0.638890\pi\)
\(308\) −0.922921 2.32661i −0.0525883 0.132571i
\(309\) −16.9973 + 17.1101i −0.966940 + 0.973362i
\(310\) 7.45223 + 6.91466i 0.423258 + 0.392726i
\(311\) −21.8182 + 27.3592i −1.23720 + 1.55140i −0.520863 + 0.853640i \(0.674390\pi\)
−0.716335 + 0.697757i \(0.754182\pi\)
\(312\) −5.26476 + 28.3381i −0.298059 + 1.60433i
\(313\) 5.25194 0.296857 0.148429 0.988923i \(-0.452578\pi\)
0.148429 + 0.988923i \(0.452578\pi\)
\(314\) −12.8780 + 16.1485i −0.726750 + 0.911315i
\(315\) −14.3360 0.926511i −0.807741 0.0522030i
\(316\) −6.52423 8.18112i −0.367017 0.460224i
\(317\) 8.61236 + 10.7996i 0.483719 + 0.606564i 0.962471 0.271386i \(-0.0874821\pi\)
−0.478752 + 0.877950i \(0.658911\pi\)
\(318\) 14.9354 15.0346i 0.837537 0.843099i
\(319\) 0.336319 0.161963i 0.0188303 0.00906818i
\(320\) 12.3235 1.85747i 0.688905 0.103836i
\(321\) −29.7473 + 15.8481i −1.66033 + 0.884554i
\(322\) −8.76029 + 11.0675i −0.488192 + 0.616768i
\(323\) 12.7903 16.0385i 0.711672 0.892408i
\(324\) 8.70187 2.81086i 0.483437 0.156159i
\(325\) −4.79510 + 8.30536i −0.265984 + 0.460699i
\(326\) −8.74008 1.31735i −0.484068 0.0729615i
\(327\) 2.79668 + 24.1040i 0.154657 + 1.33295i
\(328\) −23.8334 16.2493i −1.31598 0.897220i
\(329\) −7.15808 + 6.69041i −0.394638 + 0.368854i
\(330\) 1.16658 + 2.64987i 0.0642183 + 0.145871i
\(331\) 19.3464 24.2596i 1.06337 1.33343i 0.123333 0.992365i \(-0.460642\pi\)
0.940040 0.341063i \(-0.110787\pi\)
\(332\) −9.24151 + 6.30075i −0.507194 + 0.345799i
\(333\) 0.0852369 + 0.174040i 0.00467095 + 0.00953732i
\(334\) 5.19551 + 3.54224i 0.284286 + 0.193823i
\(335\) −14.3630 4.43040i −0.784735 0.242059i
\(336\) 3.77611 2.02944i 0.206004 0.110715i
\(337\) 20.9528 6.46308i 1.14137 0.352067i 0.334269 0.942478i \(-0.391511\pi\)
0.807103 + 0.590411i \(0.201034\pi\)
\(338\) −17.0039 5.24501i −0.924891 0.285291i
\(339\) 0.863019 0.459780i 0.0468728 0.0249718i
\(340\) 4.93871 4.58245i 0.267839 0.248518i
\(341\) 0.393993 + 5.25747i 0.0213359 + 0.284708i
\(342\) 12.9588 10.4754i 0.700734 0.566445i
\(343\) 16.5974 8.21747i 0.896175 0.443701i
\(344\) 18.7106 32.4077i 1.00881 1.74731i
\(345\) −9.96716 + 13.5990i −0.536614 + 0.732145i
\(346\) −3.05210 13.3721i −0.164082 0.718889i
\(347\) −2.73488 3.42943i −0.146816 0.184101i 0.702986 0.711204i \(-0.251850\pi\)
−0.849802 + 0.527103i \(0.823278\pi\)
\(348\) −0.377359 0.596174i −0.0202286 0.0319583i
\(349\) −8.55594 7.93875i −0.457989 0.424952i 0.417139 0.908843i \(-0.363033\pi\)
−0.875128 + 0.483891i \(0.839223\pi\)
\(350\) 4.47184 0.690687i 0.239030 0.0369188i
\(351\) 5.65502 + 28.3439i 0.301843 + 1.51289i
\(352\) 3.88920 + 2.65161i 0.207295 + 0.141331i
\(353\) 13.5560 4.18147i 0.721512 0.222557i 0.0878133 0.996137i \(-0.472012\pi\)
0.633699 + 0.773580i \(0.281536\pi\)
\(354\) −4.06432 9.23203i −0.216016 0.490677i
\(355\) −2.40199 6.12018i −0.127485 0.324825i
\(356\) 0.880904 + 11.7548i 0.0466878 + 0.623006i
\(357\) 7.74124 14.8969i 0.409710 0.788427i
\(358\) −0.940873 + 12.5551i −0.0497267 + 0.663556i
\(359\) 27.6890 8.54093i 1.46137 0.450773i 0.540734 0.841194i \(-0.318147\pi\)
0.920637 + 0.390420i \(0.127670\pi\)
\(360\) 14.0141 8.21521i 0.738609 0.432980i
\(361\) −6.17773 + 10.7001i −0.325143 + 0.563165i
\(362\) 3.19449 0.167899
\(363\) 5.74188 16.5852i 0.301370 0.870498i
\(364\) −5.51356 13.8993i −0.288989 0.728519i
\(365\) 1.87494 4.77727i 0.0981389 0.250054i
\(366\) −0.0571981 + 1.67719i −0.00298979 + 0.0876683i
\(367\) 8.36422 + 5.70263i 0.436609 + 0.297675i 0.761606 0.648040i \(-0.224411\pi\)
−0.324997 + 0.945715i \(0.605363\pi\)
\(368\) 0.375992 5.01726i 0.0195999 0.261543i
\(369\) −28.2421 6.24968i −1.47022 0.325345i
\(370\) 0.0723083 + 0.0906718i 0.00375913 + 0.00471380i
\(371\) −7.14599 + 31.8427i −0.371001 + 1.65319i
\(372\) 9.78534 1.88505i 0.507346 0.0977354i
\(373\) −7.78986 + 13.4924i −0.403343 + 0.698611i −0.994127 0.108219i \(-0.965485\pi\)
0.590784 + 0.806830i \(0.298819\pi\)
\(374\) −3.38349 −0.174956
\(375\) 20.6989 3.98745i 1.06889 0.205911i
\(376\) 2.46536 10.8015i 0.127141 0.557043i
\(377\) 2.00918 0.967571i 0.103478 0.0498324i
\(378\) 8.75406 10.4561i 0.450260 0.537804i
\(379\) 28.0175 + 13.4925i 1.43916 + 0.693064i 0.980676 0.195637i \(-0.0626776\pi\)
0.458486 + 0.888702i \(0.348392\pi\)
\(380\) −6.42051 + 8.05107i −0.329365 + 0.413011i
\(381\) 7.96305 + 18.0879i 0.407959 + 0.926673i
\(382\) −0.917194 + 4.01849i −0.0469277 + 0.205604i
\(383\) −2.07759 + 27.7235i −0.106160 + 1.41660i 0.648862 + 0.760906i \(0.275245\pi\)
−0.755022 + 0.655699i \(0.772374\pi\)
\(384\) 2.63869 5.03289i 0.134655 0.256834i
\(385\) −3.69299 2.49818i −0.188212 0.127319i
\(386\) −0.326516 + 1.43056i −0.0166192 + 0.0728136i
\(387\) 5.34701 37.1416i 0.271804 1.88801i
\(388\) −2.06980 + 0.311972i −0.105078 + 0.0158380i
\(389\) 6.53175 6.06057i 0.331173 0.307283i −0.497006 0.867747i \(-0.665567\pi\)
0.828179 + 0.560464i \(0.189377\pi\)
\(390\) 6.96920 + 15.8304i 0.352899 + 0.801604i
\(391\) −9.85174 17.0637i −0.498224 0.862949i
\(392\) −10.3387 + 18.2122i −0.522184 + 0.919858i
\(393\) −24.5754 + 8.69071i −1.23967 + 0.438389i
\(394\) 9.00082 + 4.33457i 0.453455 + 0.218372i
\(395\) −17.8117 5.49417i −0.896202 0.276442i
\(396\) 2.77108 + 0.613211i 0.139252 + 0.0308150i
\(397\) −2.52803 + 2.34567i −0.126878 + 0.117726i −0.741060 0.671439i \(-0.765677\pi\)
0.614182 + 0.789165i \(0.289486\pi\)
\(398\) 5.01020 + 4.64879i 0.251139 + 0.233023i
\(399\) −8.30657 + 24.2789i −0.415849 + 1.21547i
\(400\) −1.18234 + 1.09705i −0.0591172 + 0.0548527i
\(401\) 2.73570 36.5054i 0.136614 1.82299i −0.336154 0.941807i \(-0.609126\pi\)
0.472768 0.881187i \(-0.343255\pi\)
\(402\) 11.4519 8.51058i 0.571169 0.424469i
\(403\) 2.35373 + 31.4083i 0.117247 + 1.56456i
\(404\) 0.360424 + 0.0543252i 0.0179318 + 0.00270278i
\(405\) 9.98678 12.8689i 0.496247 0.639460i
\(406\) −0.949632 0.453066i −0.0471294 0.0224853i
\(407\) −0.00449465 + 0.0599770i −0.000222792 + 0.00297295i
\(408\) 2.18792 + 18.8571i 0.108318 + 0.933567i
\(409\) −12.2025 + 15.3015i −0.603376 + 0.756610i −0.985900 0.167336i \(-0.946484\pi\)
0.382524 + 0.923946i \(0.375055\pi\)
\(410\) −17.3102 −0.854890
\(411\) 3.19354 17.1895i 0.157526 0.847896i
\(412\) 5.16887 + 13.1701i 0.254652 + 0.648842i
\(413\) 12.8662 + 8.70356i 0.633104 + 0.428274i
\(414\) −4.81865 15.2623i −0.236824 0.750099i
\(415\) −7.27908 + 18.5468i −0.357316 + 0.910426i
\(416\) 23.2342 + 15.8408i 1.13915 + 0.776659i
\(417\) −1.73588 6.39367i −0.0850064 0.313100i
\(418\) 5.11386 0.770790i 0.250127 0.0377006i
\(419\) 5.47805 13.9578i 0.267620 0.681885i −0.732379 0.680897i \(-0.761590\pi\)
1.00000 0.000988231i \(-0.000314564\pi\)
\(420\) −3.88597 + 7.47799i −0.189616 + 0.364888i
\(421\) −4.29574 10.9454i −0.209362 0.533445i 0.787163 0.616745i \(-0.211549\pi\)
−0.996524 + 0.0833005i \(0.973454\pi\)
\(422\) −4.58683 7.94462i −0.223283 0.386738i
\(423\) −1.72852 10.9745i −0.0840433 0.533600i
\(424\) −13.4820 34.3515i −0.654742 1.66826i
\(425\) −1.40553 + 6.15802i −0.0681781 + 0.298708i
\(426\) 6.03366 + 1.59533i 0.292332 + 0.0772940i
\(427\) −1.30029 2.23334i −0.0629252 0.108079i
\(428\) 1.47760 + 19.7173i 0.0714227 + 0.953069i
\(429\) −2.93463 + 8.47657i −0.141685 + 0.409253i
\(430\) −1.67817 22.3936i −0.0809284 1.07991i
\(431\) 12.8129 + 11.8886i 0.617174 + 0.572654i 0.925557 0.378608i \(-0.123597\pi\)
−0.308383 + 0.951262i \(0.599788\pi\)
\(432\) −0.496262 + 4.83551i −0.0238764 + 0.232648i
\(433\) 0.760121 + 3.33031i 0.0365291 + 0.160044i 0.989903 0.141748i \(-0.0452722\pi\)
−0.953374 + 0.301792i \(0.902415\pi\)
\(434\) 10.8568 10.1474i 0.521141 0.487092i
\(435\) −1.15362 0.498783i −0.0553121 0.0239148i
\(436\) 13.6024 + 4.19580i 0.651439 + 0.200942i
\(437\) 18.7773 + 23.5460i 0.898241 + 1.12636i
\(438\) 2.60548 + 4.11629i 0.124495 + 0.196684i
\(439\) 31.0802 + 14.9674i 1.48338 + 0.714356i 0.988019 0.154334i \(-0.0493232\pi\)
0.495356 + 0.868690i \(0.335037\pi\)
\(440\) 5.04166 0.240351
\(441\) −2.84089 + 20.8070i −0.135280 + 0.990807i
\(442\) −20.2131 −0.961438
\(443\) −10.6282 5.11827i −0.504961 0.243176i 0.164019 0.986457i \(-0.447554\pi\)
−0.668979 + 0.743281i \(0.733269\pi\)
\(444\) 0.113589 0.00462671i 0.00539069 0.000219574i
\(445\) 13.0919 + 16.4167i 0.620616 + 0.778228i
\(446\) 13.4252 + 4.14113i 0.635702 + 0.196088i
\(447\) 1.80144 + 15.5262i 0.0852052 + 0.734364i
\(448\) −1.42758 18.1619i −0.0674469 0.858070i
\(449\) −3.26798 14.3180i −0.154226 0.675707i −0.991629 0.129121i \(-0.958784\pi\)
0.837403 0.546586i \(-0.184073\pi\)
\(450\) −2.19549 + 4.63725i −0.103496 + 0.218602i
\(451\) −6.58079 6.10608i −0.309877 0.287524i
\(452\) −0.0428678 0.572030i −0.00201633 0.0269060i
\(453\) 4.77717 + 5.51416i 0.224451 + 0.259078i
\(454\) 0.692250 + 9.23743i 0.0324889 + 0.433534i
\(455\) −22.0620 14.9242i −1.03428 0.699658i
\(456\) −7.60267 28.0025i −0.356028 1.31134i
\(457\) −0.940612 + 4.12109i −0.0440000 + 0.192777i −0.992151 0.125042i \(-0.960093\pi\)
0.948151 + 0.317819i \(0.102950\pi\)
\(458\) 7.62414 + 19.4260i 0.356253 + 0.907717i
\(459\) 9.06161 + 16.7409i 0.422960 + 0.781399i
\(460\) 4.94540 + 8.56569i 0.230581 + 0.399377i
\(461\) 9.82177 + 25.0255i 0.457446 + 1.16555i 0.954600 + 0.297890i \(0.0962830\pi\)
−0.497155 + 0.867662i \(0.665622\pi\)
\(462\) 3.98501 1.42559i 0.185400 0.0663243i
\(463\) −7.83120 + 19.9536i −0.363947 + 0.927321i 0.625210 + 0.780457i \(0.285013\pi\)
−0.989157 + 0.146864i \(0.953082\pi\)
\(464\) 0.370862 0.0558985i 0.0172168 0.00259502i
\(465\) 12.5104 12.5935i 0.580157 0.584010i
\(466\) −5.07797 3.46210i −0.235232 0.160379i
\(467\) −8.70844 + 22.1887i −0.402978 + 1.02677i 0.575016 + 0.818142i \(0.304996\pi\)
−0.977995 + 0.208630i \(0.933100\pi\)
\(468\) 16.5545 + 3.66334i 0.765231 + 0.169338i
\(469\) −7.95271 + 20.4822i −0.367222 + 0.945781i
\(470\) −2.42901 6.18903i −0.112042 0.285479i
\(471\) 27.4147 + 23.4348i 1.26320 + 1.07982i
\(472\) −17.5649 −0.808490
\(473\) 7.26123 9.10529i 0.333872 0.418662i
\(474\) 14.2016 10.5540i 0.652300 0.484762i
\(475\) 0.721483 9.62752i 0.0331039 0.441741i
\(476\) −6.16838 7.67737i −0.282727 0.351892i
\(477\) −25.3483 26.9589i −1.16062 1.23436i
\(478\) 17.0332 + 2.56733i 0.779078 + 0.117427i
\(479\) −1.40945 18.8079i −0.0643996 0.859353i −0.932085 0.362240i \(-0.882012\pi\)
0.867685 0.497114i \(-0.165607\pi\)
\(480\) −1.82659 15.7430i −0.0833722 0.718566i
\(481\) −0.0268512 + 0.358304i −0.00122431 + 0.0163373i
\(482\) 20.5962 19.1105i 0.938133 0.870460i
\(483\) 18.7928 + 15.9464i 0.855100 + 0.725588i
\(484\) −7.54741 7.00298i −0.343064 0.318317i
\(485\) −2.73327 + 2.53610i −0.124111 + 0.115158i
\(486\) 4.24865 + 14.8676i 0.192723 + 0.674407i
\(487\) −2.86612 0.884080i −0.129876 0.0400615i 0.229136 0.973394i \(-0.426410\pi\)
−0.359012 + 0.933333i \(0.616886\pi\)
\(488\) 2.63284 + 1.26791i 0.119183 + 0.0573956i
\(489\) −2.81910 + 15.1741i −0.127484 + 0.686195i
\(490\) 1.03042 + 12.5250i 0.0465495 + 0.565823i
\(491\) −1.92366 3.33187i −0.0868134 0.150365i 0.819349 0.573295i \(-0.194335\pi\)
−0.906163 + 0.422930i \(0.861002\pi\)
\(492\) −10.0309 + 13.6859i −0.452227 + 0.617010i
\(493\) 1.07668 0.999009i 0.0484910 0.0449931i
\(494\) 30.5503 4.60472i 1.37452 0.207176i
\(495\) 4.69377 1.87812i 0.210969 0.0844152i
\(496\) −1.17872 + 5.16433i −0.0529263 + 0.231885i
\(497\) −9.17345 + 2.86626i −0.411485 + 0.128569i
\(498\) −10.1152 15.9807i −0.453275 0.716111i
\(499\) −1.07717 + 14.3739i −0.0482209 + 0.643463i 0.919767 + 0.392465i \(0.128378\pi\)
−0.967988 + 0.250998i \(0.919241\pi\)
\(500\) 2.75164 12.0557i 0.123057 0.539149i
\(501\) 6.49084 8.85597i 0.289989 0.395656i
\(502\) −2.06668 + 2.59153i −0.0922403 + 0.115666i
\(503\) −21.6196 10.4114i −0.963968 0.464223i −0.115406 0.993318i \(-0.536817\pi\)
−0.848562 + 0.529096i \(0.822531\pi\)
\(504\) −10.5221 21.2877i −0.468691 0.948231i
\(505\) 0.584982 0.281713i 0.0260314 0.0125360i
\(506\) 1.10532 4.84273i 0.0491376 0.215286i
\(507\) −10.1652 + 29.3617i −0.451450 + 1.30400i
\(508\) 11.5936 0.514382
\(509\) −3.23781 + 5.60804i −0.143513 + 0.248572i −0.928817 0.370538i \(-0.879173\pi\)
0.785304 + 0.619110i \(0.212507\pi\)
\(510\) 7.45942 + 8.61020i 0.330308 + 0.381266i
\(511\) −6.77086 3.23035i −0.299525 0.142902i
\(512\) 6.43866 + 8.07382i 0.284551 + 0.356816i
\(513\) −17.5096 23.2381i −0.773067 1.02599i
\(514\) −0.513269 + 6.84910i −0.0226393 + 0.302101i
\(515\) 20.8230 + 14.1969i 0.917571 + 0.625589i
\(516\) −18.6775 11.6498i −0.822230 0.512853i
\(517\) 1.25971 3.20969i 0.0554021 0.141162i
\(518\) 0.139723 0.0960090i 0.00613909 0.00421839i
\(519\) −23.5176 + 4.53044i −1.03231 + 0.198864i
\(520\) 30.1190 1.32081
\(521\) −18.9169 + 32.7651i −0.828765 + 1.43546i 0.0702421 + 0.997530i \(0.477623\pi\)
−0.899007 + 0.437934i \(0.855711\pi\)
\(522\) 1.02924 0.603352i 0.0450487 0.0264080i
\(523\) −26.6173 + 8.21034i −1.16389 + 0.359013i −0.815736 0.578424i \(-0.803668\pi\)
−0.348155 + 0.937437i \(0.613192\pi\)
\(524\) −1.14273 + 15.2487i −0.0499205 + 0.666143i
\(525\) −0.939192 7.84501i −0.0409897 0.342384i
\(526\) 0.728956 + 9.72724i 0.0317840 + 0.424128i
\(527\) 7.57879 + 19.3104i 0.330137 + 0.841176i
\(528\) −0.891833 + 1.21680i −0.0388120 + 0.0529544i
\(529\) 5.66320 1.74687i 0.246226 0.0759507i
\(530\) −18.2971 12.4747i −0.794775 0.541868i
\(531\) −16.3529 + 6.54328i −0.709655 + 0.283954i
\(532\) 11.0719 + 10.1985i 0.480030 + 0.442160i
\(533\) −39.3138 36.4779i −1.70287 1.58003i
\(534\) −19.9157 + 0.811207i −0.861836 + 0.0351044i
\(535\) 21.9600 + 27.5370i 0.949414 + 1.19053i
\(536\) −5.52859 24.2223i −0.238799 1.04625i
\(537\) 21.8541 + 2.38915i 0.943074 + 0.103099i
\(538\) −1.36725 + 2.36814i −0.0589462 + 0.102098i
\(539\) −4.02641 + 5.12510i −0.173430 + 0.220754i
\(540\) −4.54877 8.40366i −0.195748 0.361636i
\(541\) −2.67534 35.6999i −0.115022 1.53486i −0.694274 0.719711i \(-0.744274\pi\)
0.579252 0.815149i \(-0.303345\pi\)
\(542\) 15.0315 13.9472i 0.645660 0.599085i
\(543\) 0.190119 5.57477i 0.00815879 0.239236i
\(544\) 17.6981 + 5.45914i 0.758800 + 0.234059i
\(545\) 24.2302 7.47404i 1.03791 0.320153i
\(546\) 23.8066 8.51650i 1.01883 0.364472i
\(547\) 8.44365 + 2.60452i 0.361025 + 0.111361i 0.469960 0.882687i \(-0.344268\pi\)
−0.108936 + 0.994049i \(0.534744\pi\)
\(548\) −8.47420 5.77761i −0.362000 0.246807i
\(549\) 2.92350 + 0.199635i 0.124772 + 0.00852021i
\(550\) −1.31568 + 0.897014i −0.0561007 + 0.0382488i
\(551\) −1.39972 + 1.75519i −0.0596301 + 0.0747737i
\(552\) −27.7046 3.02874i −1.17919 0.128912i
\(553\) −9.86220 + 25.4001i −0.419384 + 1.08012i
\(554\) −17.2114 11.7346i −0.731244 0.498554i
\(555\) 0.162536 0.120790i 0.00689929 0.00512727i
\(556\) −3.84306 0.579248i −0.162982 0.0245656i
\(557\) 5.98433 10.3652i 0.253564 0.439186i −0.710940 0.703252i \(-0.751730\pi\)
0.964504 + 0.264066i \(0.0850638\pi\)
\(558\) 2.62166 + 16.6452i 0.110984 + 0.704648i
\(559\) 43.3788 54.3953i 1.83473 2.30068i
\(560\) −2.80577 3.49216i −0.118565 0.147571i
\(561\) −0.201367 + 5.90460i −0.00850173 + 0.249292i
\(562\) 1.46192 0.220349i 0.0616673 0.00929485i
\(563\) 19.0602 9.17889i 0.803290 0.386844i 0.0132598 0.999912i \(-0.495779\pi\)
0.790030 + 0.613068i \(0.210065\pi\)
\(564\) −6.30078 1.66596i −0.265311 0.0701495i
\(565\) −0.637097 0.798894i −0.0268029 0.0336097i
\(566\) −7.75452 9.72386i −0.325947 0.408725i
\(567\) −17.7262 15.8992i −0.744429 0.667702i
\(568\) 6.77586 8.49665i 0.284309 0.356512i
\(569\) −29.9948 −1.25745 −0.628724 0.777628i \(-0.716423\pi\)
−0.628724 + 0.777628i \(0.716423\pi\)
\(570\) −13.2357 11.3143i −0.554384 0.473902i
\(571\) 1.58745 1.99060i 0.0664327 0.0833039i −0.747505 0.664256i \(-0.768748\pi\)
0.813938 + 0.580952i \(0.197320\pi\)
\(572\) 3.85742 + 3.57917i 0.161287 + 0.149652i
\(573\) 6.95816 + 1.83977i 0.290681 + 0.0768576i
\(574\) −1.79906 + 25.2399i −0.0750912 + 1.05349i
\(575\) −8.35471 4.02342i −0.348416 0.167788i
\(576\) 17.9576 + 10.2100i 0.748235 + 0.425415i
\(577\) −0.453807 + 0.309401i −0.0188922 + 0.0128805i −0.572729 0.819745i \(-0.694115\pi\)
0.553837 + 0.832625i \(0.313163\pi\)
\(578\) 3.39226 1.04637i 0.141100 0.0435234i
\(579\) 2.47706 + 0.654948i 0.102943 + 0.0272187i
\(580\) −0.540473 + 0.501485i −0.0224419 + 0.0208231i
\(581\) 26.2865 + 12.5412i 1.09055 + 0.520296i
\(582\) −0.407925 3.51581i −0.0169090 0.145735i
\(583\) −2.55558 11.1967i −0.105841 0.463720i
\(584\) 8.38828 1.26433i 0.347110 0.0523183i
\(585\) 28.0407 11.2199i 1.15934 0.463887i
\(586\) 0.747761 + 9.97817i 0.0308897 + 0.412194i
\(587\) −17.7767 + 30.7902i −0.733723 + 1.27085i 0.221558 + 0.975147i \(0.428886\pi\)
−0.955281 + 0.295699i \(0.904448\pi\)
\(588\) 10.4998 + 6.44331i 0.433003 + 0.265718i
\(589\) −15.8538 27.4595i −0.653244 1.13145i
\(590\) −8.70909 + 5.93775i −0.358547 + 0.244453i
\(591\) 8.10002 15.4495i 0.333190 0.635509i
\(592\) −0.0220774 + 0.0562522i −0.000907374 + 0.00231195i
\(593\) −5.89134 + 5.46637i −0.241929 + 0.224477i −0.791813 0.610764i \(-0.790862\pi\)
0.549884 + 0.835241i \(0.314672\pi\)
\(594\) −1.19599 + 4.64759i −0.0490721 + 0.190693i
\(595\) −16.7824 5.10983i −0.688013 0.209483i
\(596\) 8.76180 + 2.70266i 0.358897 + 0.110705i
\(597\) 8.41086 8.46672i 0.344234 0.346520i
\(598\) 6.60323 28.9306i 0.270026 1.18306i
\(599\) 5.23084 + 2.51904i 0.213726 + 0.102925i 0.537684 0.843146i \(-0.319299\pi\)
−0.323958 + 0.946072i \(0.605014\pi\)
\(600\) 5.85008 + 6.75259i 0.238829 + 0.275673i
\(601\) 2.38586 1.62665i 0.0973214 0.0663526i −0.513682 0.857981i \(-0.671719\pi\)
0.611003 + 0.791628i \(0.290766\pi\)
\(602\) −32.8264 + 0.119552i −1.33790 + 0.00487258i
\(603\) −14.1704 20.4914i −0.577064 0.834476i
\(604\) 4.08971 1.26151i 0.166408 0.0513300i
\(605\) −18.1354 2.73347i −0.737307 0.111131i
\(606\) −0.112578 + 0.605962i −0.00457318 + 0.0246155i
\(607\) 5.13251 8.88976i 0.208322 0.360824i −0.742864 0.669442i \(-0.766533\pi\)
0.951186 + 0.308618i \(0.0998665\pi\)
\(608\) −27.9928 4.21924i −1.13526 0.171113i
\(609\) −0.847170 + 1.63026i −0.0343291 + 0.0660613i
\(610\) 1.73404 0.261364i 0.0702092 0.0105823i
\(611\) 7.52556 19.1748i 0.304451 0.775730i
\(612\) 11.1300 0.908206i 0.449905 0.0367121i
\(613\) −2.57282 + 34.3319i −0.103915 + 1.38665i 0.664781 + 0.747038i \(0.268525\pi\)
−0.768696 + 0.639614i \(0.779094\pi\)
\(614\) 0.270130 + 0.338733i 0.0109016 + 0.0136701i
\(615\) −1.03021 + 30.2084i −0.0415421 + 1.21812i
\(616\) 0.523982 7.35122i 0.0211118 0.296189i
\(617\) 35.6211 + 5.36901i 1.43405 + 0.216148i 0.819658 0.572853i \(-0.194163\pi\)
0.614392 + 0.789001i \(0.289402\pi\)
\(618\) −22.5544 + 7.97602i −0.907272 + 0.320843i
\(619\) −12.7046 22.0050i −0.510642 0.884457i −0.999924 0.0123317i \(-0.996075\pi\)
0.489282 0.872125i \(-0.337259\pi\)
\(620\) −3.80442 9.69351i −0.152789 0.389301i
\(621\) −26.9212 + 7.50079i −1.08031 + 0.300996i
\(622\) −31.2740 + 15.0607i −1.25397 + 0.603881i
\(623\) 25.2978 17.3831i 1.01354 0.696438i
\(624\) −5.32783 + 7.26919i −0.213284 + 0.291000i
\(625\) −4.89798 12.4799i −0.195919 0.499194i
\(626\) 4.69367 + 2.26035i 0.187597 + 0.0903419i
\(627\) −1.04077 8.97016i −0.0415644 0.358234i
\(628\) 19.0620 9.17978i 0.760657 0.366313i
\(629\) 0.0526598 + 0.230718i 0.00209968 + 0.00919932i
\(630\) −12.4133 6.99801i −0.494560 0.278807i
\(631\) −8.51980 + 37.3277i −0.339168 + 1.48599i 0.461638 + 0.887068i \(0.347262\pi\)
−0.800806 + 0.598924i \(0.795595\pi\)
\(632\) −6.85604 30.0383i −0.272718 1.19486i
\(633\) −14.1373 + 7.53174i −0.561907 + 0.299360i
\(634\) 3.04893 + 13.3582i 0.121088 + 0.530523i
\(635\) 17.0633 11.6336i 0.677138 0.461665i
\(636\) −20.4657 + 7.23736i −0.811516 + 0.286980i
\(637\) −24.0539 + 30.6175i −0.953049 + 1.21311i
\(638\) 0.370276 0.0146594
\(639\) 3.14313 10.4345i 0.124340 0.412783i
\(640\) −5.67437 1.75031i −0.224299 0.0691871i
\(641\) 2.08641 5.31608i 0.0824082 0.209973i −0.883730 0.467996i \(-0.844976\pi\)
0.966139 + 0.258024i \(0.0830713\pi\)
\(642\) −33.4060 + 1.36070i −1.31843 + 0.0537024i
\(643\) −12.5623 + 3.87495i −0.495408 + 0.152813i −0.532384 0.846503i \(-0.678704\pi\)
0.0369758 + 0.999316i \(0.488228\pi\)
\(644\) 13.0036 6.32064i 0.512413 0.249068i
\(645\) −39.1793 + 1.59586i −1.54268 + 0.0628367i
\(646\) 18.3335 8.82893i 0.721320 0.347370i
\(647\) −1.62407 1.50691i −0.0638487 0.0592429i 0.647603 0.761978i \(-0.275772\pi\)
−0.711452 + 0.702735i \(0.751962\pi\)
\(648\) 26.6757 + 3.66024i 1.04792 + 0.143788i
\(649\) −5.40543 0.814738i −0.212182 0.0319813i
\(650\) −7.85989 + 5.35879i −0.308290 + 0.210189i
\(651\) −17.0623 19.5503i −0.668726 0.766235i
\(652\) 7.48061 + 5.10020i 0.292963 + 0.199739i
\(653\) −36.3237 33.7035i −1.42146 1.31892i −0.877305 0.479933i \(-0.840661\pi\)
−0.544152 0.838986i \(-0.683149\pi\)
\(654\) −7.87457 + 22.7454i −0.307920 + 0.889416i
\(655\) 13.6195 + 23.5896i 0.532156 + 0.921722i
\(656\) −4.50985 7.81128i −0.176080 0.304979i
\(657\) 7.33849 4.30189i 0.286302 0.167833i
\(658\) −9.27665 + 2.89851i −0.361641 + 0.112996i
\(659\) −23.9058 + 3.60321i −0.931236 + 0.140361i −0.597103 0.802165i \(-0.703682\pi\)
−0.334133 + 0.942526i \(0.608444\pi\)
\(660\) 0.101083 2.96401i 0.00393464 0.115374i
\(661\) 41.0880 19.7869i 1.59814 0.769623i 0.598631 0.801025i \(-0.295712\pi\)
0.999507 + 0.0314021i \(0.00999724\pi\)
\(662\) 27.7309 13.3545i 1.07779 0.519037i
\(663\) −1.20297 + 35.2742i −0.0467196 + 1.36994i
\(664\) −32.5658 + 4.90850i −1.26380 + 0.190487i
\(665\) 26.5293 + 3.89989i 1.02876 + 0.151231i
\(666\) 0.00127241 + 0.192224i 4.93050e−5 + 0.00744854i
\(667\) 1.07814 + 1.86738i 0.0417456 + 0.0723054i
\(668\) −3.22056 5.57817i −0.124607 0.215826i
\(669\) 8.02576 23.1821i 0.310294 0.896273i
\(670\) −10.9295 10.1411i −0.422243 0.391784i
\(671\) 0.751422 + 0.512311i 0.0290083 + 0.0197775i
\(672\) −23.1446 + 1.02717i −0.892824 + 0.0396241i
\(673\) −14.3147 + 9.75959i −0.551791 + 0.376204i −0.806882 0.590712i \(-0.798847\pi\)
0.255092 + 0.966917i \(0.417894\pi\)
\(674\) 21.5072 + 3.24169i 0.828426 + 0.124865i
\(675\) 7.96189 + 4.10737i 0.306453 + 0.158093i
\(676\) 13.3616 + 12.3977i 0.513907 + 0.476836i
\(677\) −18.1486 + 8.73991i −0.697508 + 0.335902i −0.748813 0.662781i \(-0.769376\pi\)
0.0513055 + 0.998683i \(0.483662\pi\)
\(678\) 0.969164 0.0394761i 0.0372205 0.00151607i
\(679\) 3.41381 + 4.24895i 0.131010 + 0.163060i
\(680\) 18.9559 5.84713i 0.726927 0.224227i
\(681\) 16.1616 0.658296i 0.619314 0.0252260i
\(682\) −1.91062 + 4.86819i −0.0731615 + 0.186412i
\(683\) 16.7404 + 5.16373i 0.640553 + 0.197585i 0.597983 0.801509i \(-0.295969\pi\)
0.0425706 + 0.999093i \(0.486445\pi\)
\(684\) −16.6152 + 3.90820i −0.635298 + 0.149434i
\(685\) −18.2698 −0.698053
\(686\) 18.3698 0.200713i 0.701362 0.00766324i
\(687\) 34.3544 12.1489i 1.31070 0.463509i
\(688\) 9.66796 6.59150i 0.368587 0.251299i
\(689\) −15.2671 66.8894i −0.581629 2.54829i
\(690\) −14.7605 + 7.86375i −0.561922 + 0.299368i
\(691\) 2.95228 + 12.9348i 0.112310 + 0.492063i 0.999528 + 0.0307128i \(0.00977772\pi\)
−0.887218 + 0.461350i \(0.847365\pi\)
\(692\) −3.12634 + 13.6974i −0.118846 + 0.520697i
\(693\) −2.25065 7.03917i −0.0854952 0.267396i
\(694\) −0.968194 4.24194i −0.0367522 0.161022i
\(695\) −6.23743 + 3.00379i −0.236599 + 0.113940i
\(696\) −0.239437 2.06365i −0.00907583 0.0782224i
\(697\) −31.8245 15.3259i −1.20544 0.580508i
\(698\) −4.22975 10.7772i −0.160098 0.407924i
\(699\) −6.34399 + 8.65561i −0.239952 + 0.327385i
\(700\) −4.43397 1.35003i −0.167588 0.0510265i
\(701\) −41.3006 + 19.8893i −1.55990 + 0.751210i −0.997152 0.0754159i \(-0.975972\pi\)
−0.562752 + 0.826626i \(0.690257\pi\)
\(702\) −7.14488 + 27.7649i −0.269666 + 1.04792i
\(703\) −0.132150 0.336714i −0.00498415 0.0126994i
\(704\) 3.20558 + 5.55223i 0.120815 + 0.209258i
\(705\) −10.9451 + 3.87058i −0.412218 + 0.145775i
\(706\) 13.9146 + 2.09730i 0.523685 + 0.0789328i
\(707\) −0.349966 0.882239i −0.0131618 0.0331800i
\(708\) −0.352168 + 10.3265i −0.0132353 + 0.388092i
\(709\) −9.18944 11.5232i −0.345117 0.432763i 0.578734 0.815517i \(-0.303547\pi\)
−0.923850 + 0.382754i \(0.874976\pi\)
\(710\) 0.487362 6.50340i 0.0182904 0.244068i
\(711\) −17.5728 25.4116i −0.659032 0.953008i
\(712\) −12.6804 + 32.3092i −0.475219 + 1.21084i
\(713\) −30.1145 + 4.53904i −1.12780 + 0.169988i
\(714\) 13.3298 9.98168i 0.498854 0.373555i
\(715\) 9.26884 + 1.39705i 0.346635 + 0.0522468i
\(716\) 6.44828 11.1687i 0.240984 0.417396i
\(717\) 5.49403 29.5721i 0.205178 1.10439i
\(718\) 28.4216 + 4.28387i 1.06069 + 0.159873i
\(719\) 2.36616 0.729863i 0.0882427 0.0272193i −0.250319 0.968163i \(-0.580536\pi\)
0.338562 + 0.940944i \(0.390059\pi\)
\(720\) 5.06265 0.413110i 0.188674 0.0153957i
\(721\) 22.8646 28.8864i 0.851521 1.07579i
\(722\) −10.1262 + 6.90394i −0.376859 + 0.256938i
\(723\) −32.1244 37.0803i −1.19472 1.37903i
\(724\) −2.94815 1.41976i −0.109567 0.0527648i
\(725\) 0.153815 0.673909i 0.00571256 0.0250284i
\(726\) 12.2695 12.3510i 0.455366 0.458390i
\(727\) 32.6195 + 10.0618i 1.20979 + 0.373171i 0.833076 0.553158i \(-0.186577\pi\)
0.376715 + 0.926329i \(0.377054\pi\)
\(728\) 3.13028 43.9164i 0.116016 1.62765i
\(729\) 26.1986 6.52957i 0.970317 0.241836i
\(730\) 3.73170 3.46252i 0.138117 0.128153i
\(731\) 16.7412 42.6560i 0.619197 1.57769i
\(732\) 0.798196 1.52244i 0.0295022 0.0562709i
\(733\) 6.64483 4.53037i 0.245432 0.167333i −0.434356 0.900741i \(-0.643024\pi\)
0.679788 + 0.733408i \(0.262072\pi\)
\(734\) 5.02080 + 8.69629i 0.185321 + 0.320986i
\(735\) 21.9190 1.05278i 0.808494 0.0388322i
\(736\) −13.5952 + 23.5476i −0.501126 + 0.867976i
\(737\) −0.577833 7.71064i −0.0212847 0.284025i
\(738\) −22.5502 17.7403i −0.830086 0.653029i
\(739\) 3.83394 0.577873i 0.141034 0.0212574i −0.0781459 0.996942i \(-0.524900\pi\)
0.219180 + 0.975685i \(0.429662\pi\)
\(740\) −0.0264343 0.115816i −0.000971745 0.00425749i
\(741\) −6.21760 53.5880i −0.228409 1.96860i
\(742\) −20.0910 + 25.3824i −0.737564 + 0.931818i
\(743\) 21.8943 20.3149i 0.803224 0.745283i −0.167399 0.985889i \(-0.553537\pi\)
0.970623 + 0.240606i \(0.0773462\pi\)
\(744\) 28.3672 + 7.50044i 1.03999 + 0.274980i
\(745\) 15.6075 4.81429i 0.571816 0.176382i
\(746\) −12.7687 + 8.70558i −0.467497 + 0.318734i
\(747\) −28.4902 + 16.7012i −1.04240 + 0.611066i
\(748\) 3.12258 + 1.50375i 0.114173 + 0.0549827i
\(749\) 42.4339 29.1579i 1.55050 1.06541i
\(750\) 20.2148 + 5.34490i 0.738140 + 0.195168i
\(751\) −27.1709 25.2109i −0.991482 0.919961i 0.00531115 0.999986i \(-0.498309\pi\)
−0.996793 + 0.0800253i \(0.974500\pi\)
\(752\) 2.15998 2.70853i 0.0787665 0.0987701i
\(753\) 4.39953 + 3.76083i 0.160328 + 0.137052i
\(754\) 2.21204 0.0805577
\(755\) 4.75333 5.96049i 0.172992 0.216925i
\(756\) −12.7261 + 5.75916i −0.462844 + 0.209458i
\(757\) 15.1926 + 19.0509i 0.552184 + 0.692417i 0.977091 0.212820i \(-0.0682648\pi\)
−0.424907 + 0.905237i \(0.639693\pi\)
\(758\) 19.2323 + 24.1166i 0.698550 + 0.875954i
\(759\) −8.38536 2.21713i −0.304369 0.0804768i
\(760\) −27.3182 + 13.1558i −0.990936 + 0.477210i
\(761\) 19.2650 2.90373i 0.698356 0.105260i 0.209738 0.977758i \(-0.432739\pi\)
0.488619 + 0.872497i \(0.337501\pi\)
\(762\) −0.668169 + 19.5924i −0.0242052 + 0.709758i
\(763\) −8.37961 36.1068i −0.303362 1.30715i
\(764\) 2.63244 3.30097i 0.0952383 0.119425i
\(765\) 15.4698 12.5051i 0.559310 0.452124i
\(766\) −13.7885 + 23.8824i −0.498199 + 0.862906i
\(767\) −32.2922 4.86727i −1.16600 0.175747i
\(768\) 23.6693 17.5900i 0.854091 0.634725i
\(769\) 10.7968 + 7.36110i 0.389341 + 0.265448i 0.742132 0.670254i \(-0.233815\pi\)
−0.352791 + 0.935702i \(0.614767\pi\)
\(770\) −2.22525 3.82204i −0.0801926 0.137737i
\(771\) 11.9220 + 1.30334i 0.429359 + 0.0469386i
\(772\) 0.937133 1.17513i 0.0337282 0.0422938i