Properties

Label 475.2.bc.a.6.11
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.11
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.48496 - 0.927909i) q^{2} +(-0.380214 + 0.109025i) q^{3} +(0.467363 + 0.958236i) q^{4} +(0.439600 + 2.19243i) q^{5} +(0.665769 + 0.190906i) q^{6} +(1.66674 - 2.88687i) q^{7} +(-0.170928 + 1.62627i) q^{8} +(-2.41147 + 1.50685i) q^{9} +O(q^{10})\) \(q+(-1.48496 - 0.927909i) q^{2} +(-0.380214 + 0.109025i) q^{3} +(0.467363 + 0.958236i) q^{4} +(0.439600 + 2.19243i) q^{5} +(0.665769 + 0.190906i) q^{6} +(1.66674 - 2.88687i) q^{7} +(-0.170928 + 1.62627i) q^{8} +(-2.41147 + 1.50685i) q^{9} +(1.38158 - 3.66359i) q^{10} +(-1.99119 + 2.21144i) q^{11} +(-0.282169 - 0.313381i) q^{12} +(-0.0343934 - 0.984899i) q^{13} +(-5.15380 + 2.74032i) q^{14} +(-0.406171 - 0.785666i) q^{15} +(3.07561 - 3.93661i) q^{16} +(-2.57630 + 0.180153i) q^{17} +4.97917 q^{18} +(-2.43428 - 3.61584i) q^{19} +(-1.89541 + 1.44590i) q^{20} +(-0.318976 + 1.27934i) q^{21} +(5.00886 - 1.43627i) q^{22} +(0.353760 - 0.0497178i) q^{23} +(-0.112315 - 0.636968i) q^{24} +(-4.61350 + 1.92759i) q^{25} +(-0.862824 + 1.49445i) q^{26} +(1.54659 - 1.71766i) q^{27} +(3.54527 + 0.247910i) q^{28} +(-7.93211 - 0.554667i) q^{29} +(-0.125876 + 1.54358i) q^{30} +(-6.99116 + 3.11267i) q^{31} +(-5.14676 + 1.87327i) q^{32} +(0.515976 - 1.05791i) q^{33} +(3.99288 + 2.12305i) q^{34} +(7.06196 + 2.38513i) q^{35} +(-2.57095 - 1.60651i) q^{36} +(-1.80821 + 5.56510i) q^{37} +(0.259641 + 7.62818i) q^{38} +(0.120455 + 0.370723i) q^{39} +(-3.64063 + 0.340162i) q^{40} +(-2.96385 + 3.79356i) q^{41} +(1.66078 - 1.60380i) q^{42} +(1.80177 + 10.2183i) q^{43} +(-3.04969 - 0.874484i) q^{44} +(-4.36375 - 4.62456i) q^{45} +(-0.571455 - 0.254428i) q^{46} +(9.96106 + 0.696545i) q^{47} +(-0.740205 + 1.83207i) q^{48} +(-2.05601 - 3.56112i) q^{49} +(8.63951 + 1.41851i) q^{50} +(0.959906 - 0.349377i) q^{51} +(0.927692 - 0.493263i) q^{52} +(-3.72990 - 7.64742i) q^{53} +(-3.89046 + 1.11557i) q^{54} +(-5.72375 - 3.39339i) q^{55} +(4.40995 + 3.20402i) q^{56} +(1.31976 + 1.10940i) q^{57} +(11.2642 + 8.18394i) q^{58} +(5.39878 + 13.3624i) q^{59} +(0.563024 - 0.756399i) q^{60} +(-1.27995 + 0.179885i) q^{61} +(13.2699 + 1.86496i) q^{62} +(0.330809 + 9.47312i) q^{63} +(-0.391939 - 0.0833091i) q^{64} +(2.14420 - 0.508367i) q^{65} +(-1.74785 + 1.09218i) q^{66} +(-3.25020 - 13.0359i) q^{67} +(-1.37670 - 2.38451i) q^{68} +(-0.129084 + 0.0574720i) q^{69} +(-8.27358 - 10.0947i) q^{70} +(-7.07398 - 6.83127i) q^{71} +(-2.03837 - 4.17927i) q^{72} +(-0.301608 + 8.63692i) q^{73} +(7.84904 - 6.58613i) q^{74} +(1.54396 - 1.23588i) q^{75} +(2.32714 - 4.02252i) q^{76} +(3.06535 + 9.43418i) q^{77} +(0.165125 - 0.662282i) q^{78} +(-10.3705 + 2.97368i) q^{79} +(9.98278 + 5.01254i) q^{80} +(3.33883 - 6.84561i) q^{81} +(7.92129 - 2.88311i) q^{82} +(-7.61809 + 3.39179i) q^{83} +(-1.37499 + 0.292263i) q^{84} +(-1.52752 - 5.56917i) q^{85} +(6.80612 - 16.8457i) q^{86} +(3.07637 - 0.653903i) q^{87} +(-3.25605 - 3.61622i) q^{88} +(-2.98768 - 3.82406i) q^{89} +(2.18884 + 10.9165i) q^{90} +(-2.90060 - 1.54228i) q^{91} +(0.212976 + 0.315750i) q^{92} +(2.31878 - 1.94569i) q^{93} +(-14.1455 - 10.2773i) q^{94} +(6.85737 - 6.92650i) q^{95} +(1.75264 - 1.27337i) q^{96} +(2.91772 - 11.7023i) q^{97} +(-0.251287 + 7.19593i) q^{98} +(1.46937 - 8.33324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.48496 0.927909i −1.05003 0.656131i −0.108856 0.994057i \(-0.534719\pi\)
−0.941172 + 0.337927i \(0.890274\pi\)
\(3\) −0.380214 + 0.109025i −0.219517 + 0.0629454i −0.383593 0.923502i \(-0.625313\pi\)
0.164076 + 0.986448i \(0.447536\pi\)
\(4\) 0.467363 + 0.958236i 0.233682 + 0.479118i
\(5\) 0.439600 + 2.19243i 0.196595 + 0.980485i
\(6\) 0.665769 + 0.190906i 0.271799 + 0.0779372i
\(7\) 1.66674 2.88687i 0.629967 1.09113i −0.357591 0.933878i \(-0.616402\pi\)
0.987558 0.157256i \(-0.0502648\pi\)
\(8\) −0.170928 + 1.62627i −0.0604323 + 0.574975i
\(9\) −2.41147 + 1.50685i −0.803823 + 0.502284i
\(10\) 1.38158 3.66359i 0.436896 1.15853i
\(11\) −1.99119 + 2.21144i −0.600366 + 0.666774i −0.964350 0.264632i \(-0.914750\pi\)
0.363984 + 0.931405i \(0.381416\pi\)
\(12\) −0.282169 0.313381i −0.0814553 0.0904653i
\(13\) −0.0343934 0.984899i −0.00953902 0.273162i −0.994783 0.102009i \(-0.967473\pi\)
0.985244 0.171153i \(-0.0547492\pi\)
\(14\) −5.15380 + 2.74032i −1.37741 + 0.732382i
\(15\) −0.406171 0.785666i −0.104873 0.202858i
\(16\) 3.07561 3.93661i 0.768904 0.984152i
\(17\) −2.57630 + 0.180153i −0.624845 + 0.0436934i −0.378670 0.925532i \(-0.623618\pi\)
−0.246175 + 0.969225i \(0.579174\pi\)
\(18\) 4.97917 1.17360
\(19\) −2.43428 3.61584i −0.558461 0.829531i
\(20\) −1.89541 + 1.44590i −0.423827 + 0.323314i
\(21\) −0.318976 + 1.27934i −0.0696063 + 0.279176i
\(22\) 5.00886 1.43627i 1.06789 0.306213i
\(23\) 0.353760 0.0497178i 0.0737641 0.0103669i −0.102194 0.994764i \(-0.532586\pi\)
0.175959 + 0.984398i \(0.443698\pi\)
\(24\) −0.112315 0.636968i −0.0229261 0.130021i
\(25\) −4.61350 + 1.92759i −0.922701 + 0.385517i
\(26\) −0.862824 + 1.49445i −0.169214 + 0.293087i
\(27\) 1.54659 1.71766i 0.297641 0.330564i
\(28\) 3.54527 + 0.247910i 0.669994 + 0.0468505i
\(29\) −7.93211 0.554667i −1.47296 0.102999i −0.689428 0.724355i \(-0.742138\pi\)
−0.783529 + 0.621355i \(0.786582\pi\)
\(30\) −0.125876 + 1.54358i −0.0229818 + 0.281817i
\(31\) −6.99116 + 3.11267i −1.25565 + 0.559052i −0.923291 0.384101i \(-0.874511\pi\)
−0.332359 + 0.943153i \(0.607845\pi\)
\(32\) −5.14676 + 1.87327i −0.909827 + 0.331150i
\(33\) 0.515976 1.05791i 0.0898200 0.184158i
\(34\) 3.99288 + 2.12305i 0.684774 + 0.364101i
\(35\) 7.06196 + 2.38513i 1.19369 + 0.403161i
\(36\) −2.57095 1.60651i −0.428492 0.267752i
\(37\) −1.80821 + 5.56510i −0.297268 + 0.914897i 0.685182 + 0.728372i \(0.259723\pi\)
−0.982450 + 0.186525i \(0.940277\pi\)
\(38\) 0.259641 + 7.62818i 0.0421194 + 1.23745i
\(39\) 0.120455 + 0.370723i 0.0192883 + 0.0593632i
\(40\) −3.64063 + 0.340162i −0.575635 + 0.0537844i
\(41\) −2.96385 + 3.79356i −0.462876 + 0.592454i −0.961651 0.274278i \(-0.911561\pi\)
0.498775 + 0.866732i \(0.333783\pi\)
\(42\) 1.66078 1.60380i 0.256264 0.247472i
\(43\) 1.80177 + 10.2183i 0.274767 + 1.55828i 0.739700 + 0.672936i \(0.234967\pi\)
−0.464933 + 0.885346i \(0.653922\pi\)
\(44\) −3.04969 0.874484i −0.459758 0.131833i
\(45\) −4.36375 4.62456i −0.650510 0.689389i
\(46\) −0.571455 0.254428i −0.0842565 0.0375134i
\(47\) 9.96106 + 0.696545i 1.45297 + 0.101602i 0.774289 0.632832i \(-0.218107\pi\)
0.678681 + 0.734433i \(0.262552\pi\)
\(48\) −0.740205 + 1.83207i −0.106839 + 0.264437i
\(49\) −2.05601 3.56112i −0.293716 0.508731i
\(50\) 8.63951 + 1.41851i 1.22181 + 0.200608i
\(51\) 0.959906 0.349377i 0.134414 0.0489226i
\(52\) 0.927692 0.493263i 0.128648 0.0684032i
\(53\) −3.72990 7.64742i −0.512340 1.05045i −0.985531 0.169494i \(-0.945787\pi\)
0.473191 0.880960i \(-0.343102\pi\)
\(54\) −3.89046 + 1.11557i −0.529424 + 0.151810i
\(55\) −5.72375 3.39339i −0.771790 0.457565i
\(56\) 4.40995 + 3.20402i 0.589305 + 0.428155i
\(57\) 1.31976 + 1.10940i 0.174807 + 0.146943i
\(58\) 11.2642 + 8.18394i 1.47907 + 1.07460i
\(59\) 5.39878 + 13.3624i 0.702861 + 1.73964i 0.672493 + 0.740104i \(0.265224\pi\)
0.0303685 + 0.999539i \(0.490332\pi\)
\(60\) 0.563024 0.756399i 0.0726861 0.0976507i
\(61\) −1.27995 + 0.179885i −0.163881 + 0.0230319i −0.220636 0.975356i \(-0.570813\pi\)
0.0567554 + 0.998388i \(0.481924\pi\)
\(62\) 13.2699 + 1.86496i 1.68528 + 0.236851i
\(63\) 0.330809 + 9.47312i 0.0416780 + 1.19350i
\(64\) −0.391939 0.0833091i −0.0489923 0.0104136i
\(65\) 2.14420 0.508367i 0.265956 0.0630552i
\(66\) −1.74785 + 1.09218i −0.215145 + 0.134438i
\(67\) −3.25020 13.0359i −0.397076 1.59258i −0.752968 0.658057i \(-0.771379\pi\)
0.355893 0.934527i \(-0.384177\pi\)
\(68\) −1.37670 2.38451i −0.166949 0.289164i
\(69\) −0.129084 + 0.0574720i −0.0155399 + 0.00691881i
\(70\) −8.27358 10.0947i −0.988882 1.20655i
\(71\) −7.07398 6.83127i −0.839527 0.810722i 0.144358 0.989526i \(-0.453888\pi\)
−0.983885 + 0.178804i \(0.942777\pi\)
\(72\) −2.03837 4.17927i −0.240224 0.492532i
\(73\) −0.301608 + 8.63692i −0.0353005 + 1.01087i 0.844507 + 0.535545i \(0.179894\pi\)
−0.879807 + 0.475330i \(0.842329\pi\)
\(74\) 7.84904 6.58613i 0.912432 0.765622i
\(75\) 1.54396 1.23588i 0.178282 0.142707i
\(76\) 2.32714 4.02252i 0.266941 0.461415i
\(77\) 3.06535 + 9.43418i 0.349329 + 1.07512i
\(78\) 0.165125 0.662282i 0.0186968 0.0749886i
\(79\) −10.3705 + 2.97368i −1.16677 + 0.334565i −0.802456 0.596712i \(-0.796474\pi\)
−0.364312 + 0.931277i \(0.618696\pi\)
\(80\) 9.98278 + 5.01254i 1.11611 + 0.560419i
\(81\) 3.33883 6.84561i 0.370981 0.760623i
\(82\) 7.92129 2.88311i 0.874760 0.318387i
\(83\) −7.61809 + 3.39179i −0.836193 + 0.372297i −0.779737 0.626108i \(-0.784647\pi\)
−0.0564569 + 0.998405i \(0.517980\pi\)
\(84\) −1.37499 + 0.292263i −0.150024 + 0.0318886i
\(85\) −1.52752 5.56917i −0.165682 0.604061i
\(86\) 6.80612 16.8457i 0.733923 1.81652i
\(87\) 3.07637 0.653903i 0.329822 0.0701058i
\(88\) −3.25605 3.61622i −0.347097 0.385490i
\(89\) −2.98768 3.82406i −0.316694 0.405350i 0.603154 0.797625i \(-0.293910\pi\)
−0.919848 + 0.392275i \(0.871688\pi\)
\(90\) 2.18884 + 10.9165i 0.230724 + 1.15070i
\(91\) −2.90060 1.54228i −0.304066 0.161675i
\(92\) 0.212976 + 0.315750i 0.0222043 + 0.0329192i
\(93\) 2.31878 1.94569i 0.240446 0.201759i
\(94\) −14.1455 10.2773i −1.45900 1.06002i
\(95\) 6.85737 6.92650i 0.703551 0.710644i
\(96\) 1.75264 1.27337i 0.178878 0.129962i
\(97\) 2.91772 11.7023i 0.296249 1.18819i −0.619029 0.785368i \(-0.712474\pi\)
0.915278 0.402822i \(-0.131971\pi\)
\(98\) −0.251287 + 7.19593i −0.0253839 + 0.726899i
\(99\) 1.46937 8.33324i 0.147678 0.837522i
\(100\) −4.00326 3.51994i −0.400326 0.351994i
\(101\) −13.6428 + 4.96559i −1.35751 + 0.494094i −0.915285 0.402808i \(-0.868034\pi\)
−0.442229 + 0.896902i \(0.645812\pi\)
\(102\) −1.74962 0.371892i −0.173238 0.0368228i
\(103\) −0.457708 0.203785i −0.0450993 0.0200795i 0.384063 0.923307i \(-0.374525\pi\)
−0.429162 + 0.903227i \(0.641191\pi\)
\(104\) 1.60760 + 0.112414i 0.157638 + 0.0110231i
\(105\) −2.94509 0.136933i −0.287412 0.0133633i
\(106\) −1.55735 + 14.8172i −0.151263 + 1.43917i
\(107\) 5.03426 8.71959i 0.486680 0.842955i −0.513203 0.858267i \(-0.671541\pi\)
0.999883 + 0.0153128i \(0.00487440\pi\)
\(108\) 2.36874 + 0.679225i 0.227932 + 0.0653585i
\(109\) 18.1577 + 2.55189i 1.73919 + 0.244427i 0.936175 0.351533i \(-0.114339\pi\)
0.803014 + 0.595960i \(0.203228\pi\)
\(110\) 5.35081 + 10.3502i 0.510180 + 0.986852i
\(111\) 0.0807742 2.31307i 0.00766675 0.219547i
\(112\) −6.23824 15.4402i −0.589458 1.45896i
\(113\) 1.56404 4.81361i 0.147132 0.452826i −0.850147 0.526546i \(-0.823487\pi\)
0.997279 + 0.0737193i \(0.0234869\pi\)
\(114\) −0.930379 2.87203i −0.0871380 0.268991i
\(115\) 0.264516 + 0.753739i 0.0246662 + 0.0702865i
\(116\) −3.17567 7.86007i −0.294854 0.729789i
\(117\) 1.56704 + 2.32323i 0.144873 + 0.214782i
\(118\) 4.38214 24.8523i 0.403409 2.28784i
\(119\) −3.77394 + 7.73772i −0.345956 + 0.709316i
\(120\) 1.34713 0.526253i 0.122976 0.0480401i
\(121\) 0.224184 + 2.13296i 0.0203803 + 0.193906i
\(122\) 2.06760 + 0.920554i 0.187191 + 0.0833430i
\(123\) 0.713307 1.76550i 0.0643167 0.159189i
\(124\) −6.25008 5.24444i −0.561274 0.470965i
\(125\) −6.25420 9.26742i −0.559392 0.828903i
\(126\) 8.29895 14.3742i 0.739330 1.28056i
\(127\) −1.93887 2.48164i −0.172047 0.220210i 0.694257 0.719727i \(-0.255733\pi\)
−0.866304 + 0.499517i \(0.833511\pi\)
\(128\) 8.38446 + 8.09678i 0.741088 + 0.715661i
\(129\) −1.79911 3.68872i −0.158403 0.324774i
\(130\) −3.65579 1.23472i −0.320634 0.108292i
\(131\) 10.1697 0.711134i 0.888530 0.0621321i 0.381808 0.924242i \(-0.375302\pi\)
0.506722 + 0.862110i \(0.330857\pi\)
\(132\) 1.25487 0.109223
\(133\) −14.4958 + 1.00079i −1.25694 + 0.0867792i
\(134\) −7.26965 + 22.3737i −0.628002 + 1.93279i
\(135\) 4.44573 + 2.63570i 0.382627 + 0.226845i
\(136\) 0.147386 4.22057i 0.0126382 0.361911i
\(137\) −12.9486 6.88487i −1.10627 0.588214i −0.187205 0.982321i \(-0.559943\pi\)
−0.919065 + 0.394107i \(0.871054\pi\)
\(138\) 0.245014 + 0.0344345i 0.0208570 + 0.00293126i
\(139\) 9.83033 + 12.5822i 0.833798 + 1.06721i 0.996748 + 0.0805781i \(0.0256766\pi\)
−0.162951 + 0.986634i \(0.552101\pi\)
\(140\) 1.01498 + 7.88175i 0.0857814 + 0.666129i
\(141\) −3.86328 + 0.821165i −0.325347 + 0.0691546i
\(142\) 4.16582 + 16.7082i 0.349588 + 1.40212i
\(143\) 2.24653 + 1.88506i 0.187864 + 0.157637i
\(144\) −1.48486 + 14.1275i −0.123738 + 1.17729i
\(145\) −2.27089 17.6344i −0.188587 1.46446i
\(146\) 8.46215 12.5457i 0.700333 1.03829i
\(147\) 1.16998 + 1.12983i 0.0964979 + 0.0931870i
\(148\) −6.17778 + 0.868230i −0.507810 + 0.0713680i
\(149\) 12.1045 + 4.40569i 0.991641 + 0.360928i 0.786356 0.617774i \(-0.211965\pi\)
0.205286 + 0.978702i \(0.434188\pi\)
\(150\) −3.43952 + 0.402581i −0.280835 + 0.0328706i
\(151\) −5.98920 −0.487394 −0.243697 0.969851i \(-0.578360\pi\)
−0.243697 + 0.969851i \(0.578360\pi\)
\(152\) 6.29644 3.34075i 0.510708 0.270971i
\(153\) 5.94121 4.31654i 0.480318 0.348972i
\(154\) 4.20212 16.8538i 0.338617 1.35812i
\(155\) −9.89762 13.9593i −0.794996 1.12124i
\(156\) −0.298944 + 0.288687i −0.0239347 + 0.0231134i
\(157\) −0.594904 3.37387i −0.0474785 0.269264i 0.951822 0.306650i \(-0.0992081\pi\)
−0.999301 + 0.0373858i \(0.988097\pi\)
\(158\) 18.1591 + 5.20703i 1.44466 + 0.414249i
\(159\) 2.25192 + 2.50101i 0.178589 + 0.198343i
\(160\) −6.36953 10.4604i −0.503555 0.826969i
\(161\) 0.446096 1.10413i 0.0351573 0.0870174i
\(162\) −11.3101 + 7.06736i −0.888608 + 0.555264i
\(163\) 23.0718 4.90405i 1.80712 0.384115i 0.823928 0.566694i \(-0.191778\pi\)
0.983191 + 0.182579i \(0.0584447\pi\)
\(164\) −5.02032 1.06710i −0.392021 0.0833266i
\(165\) 2.54621 + 0.666185i 0.198222 + 0.0518625i
\(166\) 14.4599 + 2.03220i 1.12230 + 0.157729i
\(167\) −10.7805 + 10.4106i −0.834219 + 0.805596i −0.983064 0.183265i \(-0.941333\pi\)
0.148845 + 0.988861i \(0.452445\pi\)
\(168\) −2.02604 0.737419i −0.156313 0.0568931i
\(169\) 11.9995 0.839086i 0.923038 0.0645451i
\(170\) −2.89938 + 9.68742i −0.222372 + 0.742991i
\(171\) 11.3187 + 5.05139i 0.865564 + 0.386290i
\(172\) −8.94950 + 6.50219i −0.682393 + 0.495788i
\(173\) 6.42023 + 4.01180i 0.488121 + 0.305012i 0.751561 0.659664i \(-0.229301\pi\)
−0.263440 + 0.964676i \(0.584857\pi\)
\(174\) −5.17507 1.88357i −0.392321 0.142793i
\(175\) −2.12480 + 16.5314i −0.160620 + 1.24965i
\(176\) 2.58144 + 14.6401i 0.194583 + 1.10354i
\(177\) −3.50953 4.49199i −0.263792 0.337639i
\(178\) 0.888225 + 8.45090i 0.0665753 + 0.633421i
\(179\) 4.35257 + 1.93789i 0.325326 + 0.144845i 0.562900 0.826525i \(-0.309686\pi\)
−0.237574 + 0.971369i \(0.576352\pi\)
\(180\) 2.39197 6.34286i 0.178287 0.472769i
\(181\) −3.46862 13.9119i −0.257820 1.03406i −0.949979 0.312315i \(-0.898896\pi\)
0.692159 0.721745i \(-0.256660\pi\)
\(182\) 2.87620 + 4.98172i 0.213198 + 0.369270i
\(183\) 0.467043 0.207941i 0.0345248 0.0153714i
\(184\) 0.0203871 + 0.583810i 0.00150296 + 0.0430390i
\(185\) −12.9960 1.51796i −0.955484 0.111602i
\(186\) −5.24873 + 0.737661i −0.384856 + 0.0540879i
\(187\) 4.73151 6.05605i 0.346002 0.442862i
\(188\) 3.98798 + 9.87059i 0.290853 + 0.719887i
\(189\) −2.38091 7.32768i −0.173185 0.533010i
\(190\) −16.6101 + 3.92260i −1.20502 + 0.284575i
\(191\) 1.77354 5.45841i 0.128329 0.394956i −0.866164 0.499760i \(-0.833421\pi\)
0.994493 + 0.104804i \(0.0334215\pi\)
\(192\) 0.158103 0.0110557i 0.0114101 0.000797874i
\(193\) −11.7030 4.25955i −0.842402 0.306609i −0.115464 0.993312i \(-0.536835\pi\)
−0.726939 + 0.686702i \(0.759058\pi\)
\(194\) −15.1914 + 14.6702i −1.09068 + 1.05326i
\(195\) −0.759832 + 0.427059i −0.0544127 + 0.0305824i
\(196\) 2.45149 3.63448i 0.175106 0.259606i
\(197\) 0.778721 + 7.40903i 0.0554815 + 0.527872i 0.986600 + 0.163156i \(0.0521673\pi\)
−0.931119 + 0.364716i \(0.881166\pi\)
\(198\) −9.91446 + 11.0111i −0.704590 + 0.782526i
\(199\) −2.45398 2.05913i −0.173958 0.145968i 0.551652 0.834075i \(-0.313998\pi\)
−0.725610 + 0.688106i \(0.758442\pi\)
\(200\) −2.34621 7.83230i −0.165902 0.553827i
\(201\) 2.65700 + 4.60206i 0.187411 + 0.324605i
\(202\) 24.8667 + 5.28559i 1.74962 + 0.371893i
\(203\) −14.8220 + 21.9745i −1.04030 + 1.54231i
\(204\) 0.783410 + 0.756530i 0.0548497 + 0.0529677i
\(205\) −9.62002 4.83039i −0.671891 0.337369i
\(206\) 0.490586 + 0.727324i 0.0341808 + 0.0506751i
\(207\) −0.778164 + 0.652957i −0.0540862 + 0.0453837i
\(208\) −3.98294 2.89378i −0.276167 0.200647i
\(209\) 12.8433 + 1.81657i 0.888390 + 0.125655i
\(210\) 4.24630 + 2.93612i 0.293023 + 0.202612i
\(211\) −5.73783 3.58539i −0.395008 0.246829i 0.317844 0.948143i \(-0.397041\pi\)
−0.712852 + 0.701314i \(0.752597\pi\)
\(212\) 5.58482 7.14824i 0.383567 0.490943i
\(213\) 3.43440 + 1.82610i 0.235321 + 0.125123i
\(214\) −15.5667 + 8.27695i −1.06412 + 0.565801i
\(215\) −21.6109 + 8.44224i −1.47385 + 0.575756i
\(216\) 2.52903 + 2.80877i 0.172079 + 0.191113i
\(217\) −2.66656 + 25.3706i −0.181018 + 1.72227i
\(218\) −24.5956 20.6381i −1.66582 1.39779i
\(219\) −0.826961 3.31676i −0.0558809 0.224126i
\(220\) 0.576601 7.07065i 0.0388745 0.476703i
\(221\) 0.266040 + 2.53120i 0.0178958 + 0.170267i
\(222\) −2.26627 + 3.35988i −0.152102 + 0.225500i
\(223\) −10.6123 + 5.64265i −0.710651 + 0.377860i −0.785103 0.619365i \(-0.787390\pi\)
0.0744522 + 0.997225i \(0.476279\pi\)
\(224\) −3.17041 + 17.9803i −0.211832 + 1.20136i
\(225\) 8.22073 11.6002i 0.548048 0.773345i
\(226\) −6.78913 + 5.69676i −0.451606 + 0.378943i
\(227\) 4.33054 + 13.3280i 0.287428 + 0.884612i 0.985660 + 0.168741i \(0.0539701\pi\)
−0.698233 + 0.715871i \(0.746030\pi\)
\(228\) −0.446257 + 1.78313i −0.0295541 + 0.118091i
\(229\) −1.90013 + 1.38052i −0.125564 + 0.0912275i −0.648795 0.760964i \(-0.724727\pi\)
0.523231 + 0.852191i \(0.324727\pi\)
\(230\) 0.306604 1.36472i 0.0202169 0.0899871i
\(231\) −2.19405 3.25281i −0.144358 0.214019i
\(232\) 2.25786 12.8050i 0.148236 0.840688i
\(233\) 0.103905 0.213036i 0.00680703 0.0139565i −0.895363 0.445336i \(-0.853084\pi\)
0.902170 + 0.431380i \(0.141973\pi\)
\(234\) −0.171251 4.90398i −0.0111950 0.320583i
\(235\) 2.85176 + 22.1451i 0.186028 + 1.44459i
\(236\) −10.2812 + 11.4184i −0.669249 + 0.743276i
\(237\) 3.61879 2.26127i 0.235066 0.146885i
\(238\) 12.7841 7.98837i 0.828668 0.517809i
\(239\) −0.286296 + 0.317964i −0.0185190 + 0.0205674i −0.752333 0.658783i \(-0.771072\pi\)
0.733814 + 0.679350i \(0.237738\pi\)
\(240\) −4.34208 0.817468i −0.280280 0.0527674i
\(241\) −0.00971964 0.278334i −0.000626097 0.0179291i 0.999038 0.0438626i \(-0.0139664\pi\)
−0.999664 + 0.0259336i \(0.991744\pi\)
\(242\) 1.64629 3.37540i 0.105828 0.216979i
\(243\) −1.72721 + 9.79548i −0.110800 + 0.628380i
\(244\) −0.770574 1.14242i −0.0493309 0.0731361i
\(245\) 6.90368 6.07314i 0.441060 0.387998i
\(246\) −2.69746 + 1.95982i −0.171983 + 0.124953i
\(247\) −3.47752 + 2.52188i −0.221269 + 0.160463i
\(248\) −3.86706 11.9016i −0.245559 0.755752i
\(249\) 2.52671 2.12017i 0.160124 0.134360i
\(250\) 0.687942 + 19.5651i 0.0435093 + 1.23741i
\(251\) 0.850505 4.82345i 0.0536834 0.304454i −0.946130 0.323788i \(-0.895044\pi\)
0.999813 + 0.0193343i \(0.00615469\pi\)
\(252\) −8.92288 + 4.74438i −0.562089 + 0.298868i
\(253\) −0.594455 + 0.881316i −0.0373731 + 0.0554079i
\(254\) 0.576418 + 5.48425i 0.0361677 + 0.344112i
\(255\) 1.18796 + 1.95094i 0.0743929 + 0.122173i
\(256\) −4.74368 19.0259i −0.296480 1.18912i
\(257\) 6.41715 + 5.38463i 0.400291 + 0.335884i 0.820606 0.571494i \(-0.193636\pi\)
−0.420315 + 0.907378i \(0.638081\pi\)
\(258\) −0.751183 + 7.14703i −0.0467666 + 0.444954i
\(259\) 13.0519 + 14.4956i 0.811007 + 0.900714i
\(260\) 1.48926 + 1.81706i 0.0923598 + 0.112689i
\(261\) 19.9638 10.6150i 1.23573 0.657050i
\(262\) −15.7615 8.38054i −0.973749 0.517751i
\(263\) −9.43335 + 12.0741i −0.581685 + 0.744523i −0.985380 0.170371i \(-0.945504\pi\)
0.403695 + 0.914894i \(0.367726\pi\)
\(264\) 1.63225 + 1.01995i 0.100458 + 0.0627733i
\(265\) 15.1268 11.5393i 0.929230 0.708856i
\(266\) 22.4543 + 11.9646i 1.37676 + 0.733597i
\(267\) 1.55288 + 1.12823i 0.0950345 + 0.0690466i
\(268\) 10.9724 9.20694i 0.670246 0.562404i
\(269\) 3.19591 + 4.73813i 0.194858 + 0.288889i 0.913786 0.406196i \(-0.133145\pi\)
−0.718928 + 0.695084i \(0.755367\pi\)
\(270\) −4.15606 8.03915i −0.252930 0.489247i
\(271\) 11.1104 + 10.7292i 0.674910 + 0.651753i 0.950933 0.309398i \(-0.100127\pi\)
−0.276022 + 0.961151i \(0.589016\pi\)
\(272\) −7.21453 + 10.6960i −0.437445 + 0.648539i
\(273\) 1.27100 + 0.270158i 0.0769241 + 0.0163507i
\(274\) 12.8396 + 22.2389i 0.775670 + 1.34350i
\(275\) 4.92361 14.0407i 0.296905 0.846684i
\(276\) −0.115401 0.0968329i −0.00694632 0.00582865i
\(277\) 3.32309 3.69066i 0.199665 0.221750i −0.634995 0.772517i \(-0.718998\pi\)
0.834660 + 0.550766i \(0.185664\pi\)
\(278\) −2.92251 27.8058i −0.175281 1.66768i
\(279\) 12.1686 18.0408i 0.728517 1.08007i
\(280\) −5.08597 + 11.0770i −0.303945 + 0.661977i
\(281\) −8.86438 + 8.56024i −0.528805 + 0.510661i −0.910434 0.413655i \(-0.864252\pi\)
0.381629 + 0.924316i \(0.375363\pi\)
\(282\) 6.49880 + 2.36537i 0.386998 + 0.140856i
\(283\) 1.96878 0.137671i 0.117032 0.00818367i −0.0111204 0.999938i \(-0.503540\pi\)
0.128152 + 0.991754i \(0.459095\pi\)
\(284\) 3.23985 9.97123i 0.192250 0.591684i
\(285\) −1.85211 + 3.38118i −0.109709 + 0.200284i
\(286\) −1.58685 4.88382i −0.0938324 0.288786i
\(287\) 6.01155 + 14.8791i 0.354851 + 0.878286i
\(288\) 9.58851 12.2727i 0.565008 0.723178i
\(289\) −10.2297 + 1.43769i −0.601746 + 0.0845698i
\(290\) −12.9910 + 28.2937i −0.762856 + 1.66146i
\(291\) 0.166484 + 4.76749i 0.00975949 + 0.279475i
\(292\) −8.41717 + 3.74757i −0.492578 + 0.219310i
\(293\) −4.80628 8.32471i −0.280786 0.486335i 0.690793 0.723053i \(-0.257262\pi\)
−0.971578 + 0.236718i \(0.923928\pi\)
\(294\) −0.688991 2.76339i −0.0401828 0.161164i
\(295\) −26.9229 + 17.7106i −1.56751 + 1.03115i
\(296\) −8.74131 3.89188i −0.508078 0.226211i
\(297\) 0.718951 + 6.84036i 0.0417178 + 0.396918i
\(298\) −13.8867 17.7742i −0.804436 1.02963i
\(299\) −0.0611340 0.346708i −0.00353547 0.0200507i
\(300\) 1.90586 + 0.901878i 0.110035 + 0.0520699i
\(301\) 32.5021 + 11.8298i 1.87339 + 0.681858i
\(302\) 8.89375 + 5.55743i 0.511778 + 0.319794i
\(303\) 4.64583 3.37539i 0.266896 0.193911i
\(304\) −21.7210 1.53815i −1.24579 0.0882189i
\(305\) −0.957052 2.72712i −0.0548007 0.156155i
\(306\) −12.8278 + 0.897010i −0.733319 + 0.0512787i
\(307\) 19.6343 + 7.14629i 1.12059 + 0.407860i 0.834866 0.550452i \(-0.185545\pi\)
0.285721 + 0.958313i \(0.407767\pi\)
\(308\) −7.60754 + 7.34652i −0.433480 + 0.418607i
\(309\) 0.196244 + 0.0275804i 0.0111640 + 0.00156899i
\(310\) 1.74465 + 29.9132i 0.0990896 + 1.69895i
\(311\) −12.5046 2.65794i −0.709072 0.150718i −0.160762 0.986993i \(-0.551395\pi\)
−0.548310 + 0.836275i \(0.684729\pi\)
\(312\) −0.623486 + 0.132526i −0.0352980 + 0.00750281i
\(313\) 14.7416 9.21156i 0.833244 0.520668i −0.0449414 0.998990i \(-0.514310\pi\)
0.878185 + 0.478321i \(0.158755\pi\)
\(314\) −2.24723 + 5.56210i −0.126819 + 0.313887i
\(315\) −20.6237 + 4.88966i −1.16202 + 0.275501i
\(316\) −7.69626 8.54756i −0.432948 0.480838i
\(317\) −5.08577 1.45832i −0.285645 0.0819075i 0.129755 0.991546i \(-0.458581\pi\)
−0.415401 + 0.909639i \(0.636359\pi\)
\(318\) −1.02331 5.80348i −0.0573844 0.325443i
\(319\) 17.0209 16.4369i 0.952990 0.920291i
\(320\) 0.0103531 0.895921i 0.000578757 0.0500835i
\(321\) −0.963446 + 3.86417i −0.0537743 + 0.215677i
\(322\) −1.68697 + 1.22565i −0.0940109 + 0.0683029i
\(323\) 6.92283 + 8.87696i 0.385197 + 0.493927i
\(324\) 8.12015 0.451120
\(325\) 2.05715 + 4.47754i 0.114110 + 0.248369i
\(326\) −38.8113 14.1261i −2.14956 0.782375i
\(327\) −7.18202 + 1.00937i −0.397167 + 0.0558181i
\(328\) −5.66276 5.46846i −0.312673 0.301945i
\(329\) 18.6133 27.5953i 1.02618 1.52138i
\(330\) −3.16288 3.35192i −0.174111 0.184517i
\(331\) −2.52567 + 24.0301i −0.138823 + 1.32081i 0.674185 + 0.738562i \(0.264495\pi\)
−0.813008 + 0.582252i \(0.802172\pi\)
\(332\) −6.81055 5.71473i −0.373777 0.313636i
\(333\) −4.02534 16.1448i −0.220588 0.884728i
\(334\) 25.6687 5.45606i 1.40453 0.298542i
\(335\) 27.1514 12.8564i 1.48344 0.702421i
\(336\) 4.05523 + 5.19045i 0.221231 + 0.283162i
\(337\) −14.4463 2.03030i −0.786942 0.110598i −0.265756 0.964040i \(-0.585622\pi\)
−0.521186 + 0.853443i \(0.674510\pi\)
\(338\) −18.5974 9.88842i −1.01157 0.537859i
\(339\) −0.0698667 + 2.00072i −0.00379464 + 0.108664i
\(340\) 4.62268 4.06655i 0.250700 0.220539i
\(341\) 7.03725 21.6584i 0.381089 1.17287i
\(342\) −12.1207 18.0039i −0.655410 0.973538i
\(343\) 9.62697 0.519808
\(344\) −16.9258 + 1.18357i −0.912578 + 0.0638137i
\(345\) −0.182749 0.257743i −0.00983886 0.0138764i
\(346\) −5.81122 11.9148i −0.312413 0.640542i
\(347\) 22.5292 + 21.7562i 1.20943 + 1.16793i 0.980924 + 0.194392i \(0.0622733\pi\)
0.228507 + 0.973542i \(0.426616\pi\)
\(348\) 2.06438 + 2.64228i 0.110662 + 0.141641i
\(349\) 11.9382 20.6776i 0.639039 1.10685i −0.346604 0.938011i \(-0.612665\pi\)
0.985644 0.168837i \(-0.0540013\pi\)
\(350\) 18.4948 22.5769i 0.988591 1.20678i
\(351\) −1.74491 1.46416i −0.0931366 0.0781509i
\(352\) 6.10555 15.1118i 0.325427 0.805460i
\(353\) −27.3029 12.1561i −1.45319 0.647001i −0.480054 0.877239i \(-0.659383\pi\)
−0.973134 + 0.230238i \(0.926050\pi\)
\(354\) 1.04337 + 9.92697i 0.0554543 + 0.527612i
\(355\) 11.8673 18.5122i 0.629853 0.982528i
\(356\) 2.26802 4.65013i 0.120205 0.246457i
\(357\) 0.591302 3.35344i 0.0312950 0.177483i
\(358\) −4.66523 6.91649i −0.246565 0.365548i
\(359\) 1.32390 + 3.27678i 0.0698729 + 0.172942i 0.958079 0.286503i \(-0.0924929\pi\)
−0.888206 + 0.459445i \(0.848048\pi\)
\(360\) 8.26670 6.30619i 0.435693 0.332365i
\(361\) −7.14861 + 17.6039i −0.376243 + 0.926521i
\(362\) −7.75817 + 23.8772i −0.407760 + 1.25496i
\(363\) −0.317783 0.786541i −0.0166793 0.0412827i
\(364\) 0.122232 3.50027i 0.00640669 0.183464i
\(365\) −19.0684 + 3.13554i −0.998087 + 0.164122i
\(366\) −0.886493 0.124588i −0.0463377 0.00651234i
\(367\) −20.5680 5.89778i −1.07364 0.307861i −0.308169 0.951332i \(-0.599716\pi\)
−0.765471 + 0.643470i \(0.777494\pi\)
\(368\) 0.892311 1.54553i 0.0465149 0.0805662i
\(369\) 1.43090 13.6141i 0.0744898 0.708723i
\(370\) 17.8901 + 14.3132i 0.930060 + 0.744108i
\(371\) −28.2939 1.97850i −1.46894 0.102719i
\(372\) 2.94814 + 1.31260i 0.152854 + 0.0680550i
\(373\) 1.79055 + 0.380593i 0.0927112 + 0.0197064i 0.254034 0.967195i \(-0.418243\pi\)
−0.161322 + 0.986902i \(0.551576\pi\)
\(374\) −12.6456 + 4.60262i −0.653888 + 0.237996i
\(375\) 3.38831 + 2.84174i 0.174972 + 0.146747i
\(376\) −2.83540 + 16.0804i −0.146225 + 0.829281i
\(377\) −0.273479 + 7.83141i −0.0140849 + 0.403338i
\(378\) −3.26385 + 13.0906i −0.167875 + 0.673308i
\(379\) 2.75263 1.99990i 0.141393 0.102728i −0.514840 0.857286i \(-0.672149\pi\)
0.656233 + 0.754558i \(0.272149\pi\)
\(380\) 9.84211 + 3.33379i 0.504890 + 0.171020i
\(381\) 1.00775 + 0.732171i 0.0516284 + 0.0375102i
\(382\) −7.69855 + 6.45985i −0.393892 + 0.330515i
\(383\) −13.9407 20.6679i −0.712336 1.05608i −0.995289 0.0969483i \(-0.969092\pi\)
0.282953 0.959134i \(-0.408686\pi\)
\(384\) −4.07064 2.16440i −0.207729 0.110451i
\(385\) −19.3363 + 10.8678i −0.985467 + 0.553876i
\(386\) 13.4261 + 17.1846i 0.683371 + 0.874675i
\(387\) −19.7424 21.9262i −1.00356 1.11457i
\(388\) 12.5772 2.67337i 0.638512 0.135720i
\(389\) 1.47178 3.64279i 0.0746224 0.184697i −0.885262 0.465092i \(-0.846021\pi\)
0.959885 + 0.280395i \(0.0904656\pi\)
\(390\) 1.52460 + 0.0708866i 0.0772009 + 0.00358948i
\(391\) −0.902437 + 0.191819i −0.0456382 + 0.00970070i
\(392\) 6.14279 2.73495i 0.310258 0.138136i
\(393\) −3.78913 + 1.37913i −0.191136 + 0.0695679i
\(394\) 5.71853 11.7247i 0.288096 0.590684i
\(395\) −11.0784 21.4293i −0.557417 1.07822i
\(396\) 8.67194 2.48664i 0.435782 0.124958i
\(397\) 5.33715 21.4061i 0.267864 1.07434i −0.674103 0.738638i \(-0.735470\pi\)
0.941967 0.335706i \(-0.108975\pi\)
\(398\) 1.73339 + 5.33481i 0.0868868 + 0.267410i
\(399\) 5.40238 1.96091i 0.270457 0.0981682i
\(400\) −6.60121 + 24.0901i −0.330060 + 1.20450i
\(401\) 25.6412 21.5155i 1.28046 1.07443i 0.287279 0.957847i \(-0.407249\pi\)
0.993181 0.116587i \(-0.0371953\pi\)
\(402\) 0.324741 9.29936i 0.0161966 0.463810i
\(403\) 3.30611 + 6.77854i 0.164689 + 0.337663i
\(404\) −11.1344 10.7523i −0.553955 0.534948i
\(405\) 16.4763 + 4.31081i 0.818712 + 0.214206i
\(406\) 42.4005 18.8779i 2.10430 0.936895i
\(407\) −8.70639 15.0799i −0.431560 0.747484i
\(408\) 0.404108 + 1.62079i 0.0200063 + 0.0802410i
\(409\) 0.806976 0.504255i 0.0399024 0.0249338i −0.509821 0.860280i \(-0.670289\pi\)
0.549724 + 0.835346i \(0.314733\pi\)
\(410\) 9.80323 + 16.0995i 0.484147 + 0.795096i
\(411\) 5.67384 + 1.20601i 0.279870 + 0.0594882i
\(412\) −0.0186419 0.533834i −0.000918420 0.0263001i
\(413\) 47.5740 + 6.68609i 2.34096 + 0.329001i
\(414\) 1.76143 0.247553i 0.0865696 0.0121666i
\(415\) −10.7852 15.2111i −0.529424 0.746683i
\(416\) 2.02199 + 5.00461i 0.0991365 + 0.245371i
\(417\) −5.10940 3.71220i −0.250209 0.181787i
\(418\) −17.3862 14.6150i −0.850389 0.714841i
\(419\) 7.99557 + 5.80912i 0.390609 + 0.283794i 0.765705 0.643192i \(-0.222390\pi\)
−0.375096 + 0.926986i \(0.622390\pi\)
\(420\) −1.24521 2.88609i −0.0607602 0.140827i
\(421\) 4.60258 1.31977i 0.224316 0.0643216i −0.161597 0.986857i \(-0.551664\pi\)
0.385913 + 0.922535i \(0.373887\pi\)
\(422\) 5.19356 + 10.6484i 0.252818 + 0.518354i
\(423\) −25.0704 + 13.3302i −1.21896 + 0.648134i
\(424\) 13.0743 4.75867i 0.634946 0.231102i
\(425\) 11.5385 5.79718i 0.559701 0.281205i
\(426\) −3.40551 5.89851i −0.164997 0.285784i
\(427\) −1.61403 + 3.99487i −0.0781085 + 0.193325i
\(428\) 10.7083 + 0.748794i 0.517603 + 0.0361943i
\(429\) −1.05968 0.471800i −0.0511618 0.0227787i
\(430\) 39.9251 + 7.51656i 1.92536 + 0.362481i
\(431\) −2.92397 0.838434i −0.140843 0.0403860i 0.204475 0.978872i \(-0.434451\pi\)
−0.345318 + 0.938486i \(0.612229\pi\)
\(432\) −2.00504 11.3712i −0.0964676 0.547095i
\(433\) −10.0646 + 9.71928i −0.483674 + 0.467079i −0.896061 0.443930i \(-0.853584\pi\)
0.412387 + 0.911009i \(0.364695\pi\)
\(434\) 27.5013 35.2001i 1.32011 1.68966i
\(435\) 2.78601 + 6.45728i 0.133579 + 0.309603i
\(436\) 6.04091 + 18.5920i 0.289307 + 0.890395i
\(437\) −1.04092 1.15811i −0.0497940 0.0554001i
\(438\) −1.84964 + 5.69262i −0.0883794 + 0.272004i
\(439\) −3.29999 2.06206i −0.157500 0.0984169i 0.448880 0.893592i \(-0.351823\pi\)
−0.606380 + 0.795175i \(0.707379\pi\)
\(440\) 6.49694 8.72836i 0.309729 0.416108i
\(441\) 10.3241 + 5.48942i 0.491624 + 0.261401i
\(442\) 1.95367 4.00561i 0.0929264 0.190527i
\(443\) 8.66341 3.15322i 0.411611 0.149814i −0.127911 0.991786i \(-0.540827\pi\)
0.539522 + 0.841971i \(0.318605\pi\)
\(444\) 2.25422 1.00364i 0.106980 0.0476308i
\(445\) 7.07060 8.23135i 0.335179 0.390203i
\(446\) 20.9947 + 1.46810i 0.994130 + 0.0695163i
\(447\) −5.08264 0.355413i −0.240401 0.0168104i
\(448\) −0.893761 + 0.992622i −0.0422262 + 0.0468970i
\(449\) −17.4869 + 30.2882i −0.825259 + 1.42939i 0.0764618 + 0.997073i \(0.475638\pi\)
−0.901721 + 0.432318i \(0.857696\pi\)
\(450\) −22.9714 + 9.59777i −1.08288 + 0.452443i
\(451\) −2.48763 14.1081i −0.117138 0.664322i
\(452\) 5.34355 0.750987i 0.251339 0.0353235i
\(453\) 2.27718 0.652970i 0.106991 0.0306792i
\(454\) 5.93650 23.8100i 0.278614 1.11746i
\(455\) 2.10623 7.03735i 0.0987416 0.329916i
\(456\) −2.02977 + 1.95667i −0.0950527 + 0.0916293i
\(457\) 19.9681 0.934068 0.467034 0.884239i \(-0.345323\pi\)
0.467034 + 0.884239i \(0.345323\pi\)
\(458\) 4.10262 0.286883i 0.191703 0.0134052i
\(459\) −3.67504 + 4.70383i −0.171536 + 0.219556i
\(460\) −0.598635 + 0.605739i −0.0279115 + 0.0282427i
\(461\) −28.5763 + 15.1943i −1.33093 + 0.707668i −0.974018 0.226470i \(-0.927281\pi\)
−0.356912 + 0.934138i \(0.616170\pi\)
\(462\) 0.239772 + 6.86619i 0.0111552 + 0.319444i
\(463\) 14.1858 + 15.7549i 0.659269 + 0.732193i 0.976348 0.216206i \(-0.0693684\pi\)
−0.317078 + 0.948399i \(0.602702\pi\)
\(464\) −26.5796 + 29.5197i −1.23393 + 1.37042i
\(465\) 5.28512 + 4.22844i 0.245092 + 0.196089i
\(466\) −0.351973 + 0.219937i −0.0163048 + 0.0101884i
\(467\) 2.23525 21.2670i 0.103435 0.984120i −0.812545 0.582898i \(-0.801919\pi\)
0.915981 0.401222i \(-0.131415\pi\)
\(468\) −1.49383 + 2.58738i −0.0690521 + 0.119602i
\(469\) −43.0501 12.3444i −1.98787 0.570012i
\(470\) 16.3139 35.5309i 0.752505 1.63892i
\(471\) 0.594026 + 1.21793i 0.0273713 + 0.0561194i
\(472\) −22.6538 + 6.49588i −1.04273 + 0.298997i
\(473\) −26.1849 16.3621i −1.20398 0.752332i
\(474\) −7.47203 −0.343202
\(475\) 18.2004 + 11.9894i 0.835091 + 0.550112i
\(476\) −9.17836 −0.420690
\(477\) 20.5181 + 12.8211i 0.939457 + 0.587038i
\(478\) 0.720181 0.206509i 0.0329403 0.00944549i
\(479\) −5.76448 11.8189i −0.263386 0.540021i 0.725585 0.688133i \(-0.241569\pi\)
−0.988971 + 0.148112i \(0.952680\pi\)
\(480\) 3.56223 + 3.28277i 0.162593 + 0.149837i
\(481\) 5.54326 + 1.58950i 0.252751 + 0.0724751i
\(482\) −0.243835 + 0.422335i −0.0111064 + 0.0192368i
\(483\) −0.0492350 + 0.468440i −0.00224027 + 0.0213148i
\(484\) −1.93911 + 1.21169i −0.0881413 + 0.0550768i
\(485\) 26.9391 + 1.25255i 1.22324 + 0.0568752i
\(486\) 11.6542 12.9432i 0.528643 0.587118i
\(487\) 14.0715 + 15.6280i 0.637642 + 0.708173i 0.972187 0.234207i \(-0.0752493\pi\)
−0.334545 + 0.942380i \(0.608583\pi\)
\(488\) −0.0737630 2.11230i −0.00333910 0.0956192i
\(489\) −8.23754 + 4.37998i −0.372515 + 0.198069i
\(490\) −15.8870 + 2.61240i −0.717704 + 0.118016i
\(491\) −18.0839 + 23.1463i −0.816114 + 1.04458i 0.182007 + 0.983297i \(0.441741\pi\)
−0.998121 + 0.0612806i \(0.980482\pi\)
\(492\) 2.02514 0.141611i 0.0913002 0.00638433i
\(493\) 20.5355 0.924870
\(494\) 7.50406 0.518080i 0.337624 0.0233095i
\(495\) 18.9160 0.441792i 0.850210 0.0198571i
\(496\) −9.24878 + 37.0948i −0.415283 + 1.66561i
\(497\) −31.5114 + 9.03576i −1.41348 + 0.405309i
\(498\) −5.71940 + 0.803810i −0.256293 + 0.0360196i
\(499\) 1.92328 + 10.9075i 0.0860978 + 0.488285i 0.997114 + 0.0759150i \(0.0241878\pi\)
−0.911016 + 0.412370i \(0.864701\pi\)
\(500\) 5.95740 10.3242i 0.266423 0.461714i
\(501\) 2.96388 5.13359i 0.132416 0.229352i
\(502\) −5.73869 + 6.37347i −0.256130 + 0.284462i
\(503\) 38.2310 + 2.67338i 1.70464 + 0.119200i 0.888566 0.458750i \(-0.151702\pi\)
0.816073 + 0.577949i \(0.196147\pi\)
\(504\) −15.4624 1.08124i −0.688752 0.0481622i
\(505\) −16.8841 27.7281i −0.751333 1.23388i
\(506\) 1.70053 0.757123i 0.0755976 0.0336582i
\(507\) −4.47089 + 1.62727i −0.198559 + 0.0722697i
\(508\) 1.47184 3.01773i 0.0653025 0.133890i
\(509\) 22.4843 + 11.9551i 0.996599 + 0.529901i 0.885862 0.463949i \(-0.153568\pi\)
0.110737 + 0.993850i \(0.464679\pi\)
\(510\) 0.0462164 3.99940i 0.00204649 0.177096i
\(511\) 24.4310 + 15.2662i 1.08076 + 0.675335i
\(512\) −3.40641 + 10.4838i −0.150543 + 0.463325i
\(513\) −9.97560 1.41096i −0.440433 0.0622953i
\(514\) −4.53280 13.9505i −0.199933 0.615331i
\(515\) 0.245575 1.09308i 0.0108213 0.0481667i
\(516\) 2.69383 3.44794i 0.118589 0.151787i
\(517\) −21.3747 + 20.6413i −0.940059 + 0.907804i
\(518\) −5.93102 33.6365i −0.260594 1.47790i
\(519\) −2.87845 0.825381i −0.126350 0.0362302i
\(520\) 0.460240 + 3.57396i 0.0201828 + 0.156728i
\(521\) −23.6743 10.5405i −1.03719 0.461786i −0.183747 0.982974i \(-0.558823\pi\)
−0.853442 + 0.521187i \(0.825489\pi\)
\(522\) −39.4953 2.76178i −1.72866 0.120880i
\(523\) 6.84514 16.9423i 0.299317 0.740835i −0.700318 0.713831i \(-0.746959\pi\)
0.999635 0.0270048i \(-0.00859693\pi\)
\(524\) 5.43437 + 9.41261i 0.237402 + 0.411192i
\(525\) −0.994448 6.51711i −0.0434013 0.284430i
\(526\) 25.2119 9.17638i 1.09929 0.400109i
\(527\) 17.4506 9.27865i 0.760160 0.404184i
\(528\) −2.57762 5.28491i −0.112177 0.229996i
\(529\) −21.9863 + 6.30448i −0.955928 + 0.274108i
\(530\) −33.1702 + 3.09925i −1.44082 + 0.134623i
\(531\) −33.1542 24.0880i −1.43877 1.04533i
\(532\) −7.73377 13.4226i −0.335302 0.581945i
\(533\) 3.83821 + 2.78862i 0.166251 + 0.120789i
\(534\) −1.25907 3.11631i −0.0544853 0.134856i
\(535\) 21.3302 + 7.20413i 0.922183 + 0.311462i
\(536\) 21.7554 3.05753i 0.939692 0.132065i
\(537\) −1.86619 0.262275i −0.0805319 0.0113180i
\(538\) −0.349259 10.0015i −0.0150576 0.431194i
\(539\) 11.9691 + 2.54411i 0.515546 + 0.109583i
\(540\) −0.447855 + 5.49189i −0.0192726 + 0.236333i
\(541\) −27.9241 + 17.4489i −1.20055 + 0.750187i −0.974600 0.223952i \(-0.928104\pi\)
−0.225950 + 0.974139i \(0.572549\pi\)
\(542\) −6.54286 26.2420i −0.281040 1.12719i
\(543\) 2.83555 + 4.91132i 0.121685 + 0.210765i
\(544\) 12.9221 5.75331i 0.554032 0.246671i
\(545\) 2.38727 + 40.9312i 0.102259 + 1.75330i
\(546\) −1.63670 1.58054i −0.0700443 0.0676410i
\(547\) 10.8703 + 22.2874i 0.464780 + 0.952940i 0.994497 + 0.104766i \(0.0334092\pi\)
−0.529717 + 0.848174i \(0.677702\pi\)
\(548\) 0.545655 15.6255i 0.0233092 0.667489i
\(549\) 2.81550 2.36248i 0.120163 0.100828i
\(550\) −20.3398 + 16.2812i −0.867294 + 0.694234i
\(551\) 17.3034 + 30.0315i 0.737148 + 1.27938i
\(552\) −0.0714011 0.219750i −0.00303903 0.00935318i
\(553\) −8.70018 + 34.8945i −0.369969 + 1.48387i
\(554\) −8.35927 + 2.39698i −0.355151 + 0.101838i
\(555\) 5.10675 0.839735i 0.216770 0.0356447i
\(556\) −7.46243 + 15.3003i −0.316478 + 0.648875i
\(557\) −19.8723 + 7.23292i −0.842015 + 0.306469i −0.726781 0.686870i \(-0.758984\pi\)
−0.115235 + 0.993338i \(0.536762\pi\)
\(558\) −34.8102 + 15.4985i −1.47363 + 0.656103i
\(559\) 10.0021 2.12600i 0.423042 0.0899204i
\(560\) 31.1092 20.4644i 1.31460 0.864779i
\(561\) −1.13873 + 2.81845i −0.0480771 + 0.118995i
\(562\) 21.1064 4.48631i 0.890320 0.189243i
\(563\) −9.67197 10.7418i −0.407625 0.452714i 0.504020 0.863692i \(-0.331854\pi\)
−0.911645 + 0.410978i \(0.865187\pi\)
\(564\) −2.59242 3.31815i −0.109161 0.139719i
\(565\) 11.2411 + 1.31298i 0.472915 + 0.0552374i
\(566\) −3.05132 1.62241i −0.128256 0.0681952i
\(567\) −14.1974 21.0486i −0.596236 0.883957i
\(568\) 12.3187 10.3366i 0.516879 0.433713i
\(569\) 27.4752 + 19.9619i 1.15182 + 0.836847i 0.988722 0.149762i \(-0.0478508\pi\)
0.163100 + 0.986610i \(0.447851\pi\)
\(570\) 5.88774 3.30234i 0.246610 0.138320i
\(571\) −26.0766 + 18.9458i −1.09127 + 0.792855i −0.979614 0.200891i \(-0.935616\pi\)
−0.111658 + 0.993747i \(0.535616\pi\)
\(572\) −0.756389 + 3.03371i −0.0316262 + 0.126846i
\(573\) −0.0792255 + 2.26872i −0.00330969 + 0.0947773i
\(574\) 4.87952 27.6731i 0.203667 1.15505i
\(575\) −1.53624 + 0.911277i −0.0640656 + 0.0380029i
\(576\) 1.07068 0.389696i 0.0446117 0.0162373i
\(577\) −9.14015 1.94280i −0.380510 0.0808798i 0.0136861 0.999906i \(-0.495643\pi\)
−0.394196 + 0.919027i \(0.628977\pi\)
\(578\) 16.5247 + 7.35729i 0.687339 + 0.306023i
\(579\) 4.91405 + 0.343624i 0.204221 + 0.0142805i
\(580\) 15.8366 10.4177i 0.657580 0.432573i
\(581\) −2.90567 + 27.6456i −0.120548 + 1.14693i
\(582\) 4.17657 7.23404i 0.173124 0.299860i
\(583\) 24.3387 + 6.97901i 1.00801 + 0.289041i
\(584\) −13.9944 1.96679i −0.579094 0.0813864i
\(585\) −4.40464 + 4.45691i −0.182110 + 0.184271i
\(586\) −0.587427 + 16.8217i −0.0242664 + 0.694898i
\(587\) −16.1338 39.9326i −0.665913 1.64819i −0.757850 0.652429i \(-0.773750\pi\)
0.0919367 0.995765i \(-0.470694\pi\)
\(588\) −0.535843 + 1.64915i −0.0220978 + 0.0680100i
\(589\) 28.2733 + 17.7019i 1.16498 + 0.729392i
\(590\) 56.4134 1.31756i 2.32250 0.0542433i
\(591\) −1.10385 2.73212i −0.0454062 0.112384i
\(592\) 16.3463 + 24.2343i 0.671827 + 0.996025i
\(593\) −1.14586 + 6.49850i −0.0470549 + 0.266861i −0.999254 0.0386162i \(-0.987705\pi\)
0.952199 + 0.305478i \(0.0988161\pi\)
\(594\) 5.27962 10.8248i 0.216625 0.444148i
\(595\) −18.6234 4.87259i −0.763487 0.199757i
\(596\) 1.43552 + 13.6581i 0.0588012 + 0.559456i
\(597\) 1.15753 + 0.515367i 0.0473747 + 0.0210926i
\(598\) −0.230932 + 0.571576i −0.00944351 + 0.0233735i
\(599\) 23.3759 + 19.6147i 0.955112 + 0.801434i 0.980151 0.198253i \(-0.0635266\pi\)
−0.0250392 + 0.999686i \(0.507971\pi\)
\(600\) 1.74597 + 2.72216i 0.0712791 + 0.111132i
\(601\) −9.53668 + 16.5180i −0.389009 + 0.673784i −0.992317 0.123725i \(-0.960516\pi\)
0.603307 + 0.797509i \(0.293849\pi\)
\(602\) −37.2875 47.7258i −1.51972 1.94516i
\(603\) 27.4809 + 26.5380i 1.11911 + 1.08071i
\(604\) −2.79913 5.73907i −0.113895 0.233519i
\(605\) −4.57782 + 1.42916i −0.186115 + 0.0581036i
\(606\) −10.0309 + 0.701432i −0.407479 + 0.0284937i
\(607\) −10.3538 −0.420249 −0.210125 0.977675i \(-0.567387\pi\)
−0.210125 + 0.977675i \(0.567387\pi\)
\(608\) 19.3021 + 14.0498i 0.782802 + 0.569795i
\(609\) 3.23977 9.97097i 0.131282 0.404044i
\(610\) −1.10933 + 4.93774i −0.0449156 + 0.199923i
\(611\) 0.343432 9.83460i 0.0138938 0.397865i
\(612\) 6.91297 + 3.67569i 0.279440 + 0.148581i
\(613\) 18.0175 + 2.53219i 0.727719 + 0.102274i 0.493297 0.869861i \(-0.335792\pi\)
0.234422 + 0.972135i \(0.424680\pi\)
\(614\) −22.5251 28.8308i −0.909039 1.16352i
\(615\) 4.18430 + 0.787763i 0.168727 + 0.0317657i
\(616\) −15.8665 + 3.37253i −0.639281 + 0.135883i
\(617\) 4.94411 + 19.8297i 0.199042 + 0.798316i 0.983912 + 0.178654i \(0.0571744\pi\)
−0.784869 + 0.619661i \(0.787270\pi\)
\(618\) −0.265824 0.223053i −0.0106930 0.00897250i
\(619\) −2.70194 + 25.7073i −0.108600 + 1.03326i 0.795503 + 0.605949i \(0.207207\pi\)
−0.904103 + 0.427314i \(0.859460\pi\)
\(620\) 8.75054 16.0083i 0.351430 0.642910i
\(621\) 0.461723 0.684532i 0.0185283 0.0274693i
\(622\) 16.1026 + 15.5501i 0.645655 + 0.623502i
\(623\) −16.0193 + 2.25136i −0.641798 + 0.0901988i
\(624\) 1.82986 + 0.666016i 0.0732532 + 0.0266620i
\(625\) 17.5688 17.7859i 0.702753 0.711434i
\(626\) −30.4382 −1.21656
\(627\) −5.08126 + 0.709551i −0.202926 + 0.0283368i
\(628\) 2.95493 2.14688i 0.117914 0.0856699i
\(629\) 3.65593 14.6631i 0.145772 0.584658i
\(630\) 35.1627 + 11.8760i 1.40091 + 0.473150i
\(631\) 7.87428 7.60410i 0.313470 0.302714i −0.521233 0.853414i \(-0.674528\pi\)
0.834703 + 0.550700i \(0.185639\pi\)
\(632\) −3.06342 17.3735i −0.121856 0.691081i
\(633\) 2.57250 + 0.737652i 0.102248 + 0.0293190i
\(634\) 6.19900 + 6.88469i 0.246194 + 0.273426i
\(635\) 4.58850 5.34177i 0.182089 0.211982i
\(636\) −1.34409 + 3.32674i −0.0532967 + 0.131914i
\(637\) −3.43663 + 2.14745i −0.136164 + 0.0850849i
\(638\) −40.5275 + 8.61438i −1.60450 + 0.341047i
\(639\) 27.3524 + 5.81393i 1.08204 + 0.229996i
\(640\) −14.0658 + 21.9417i −0.556000 + 0.867321i
\(641\) −28.2062 3.96412i −1.11408 0.156573i −0.441972 0.897029i \(-0.645721\pi\)
−0.672105 + 0.740456i \(0.734610\pi\)
\(642\) 5.01628 4.84417i 0.197977 0.191184i
\(643\) −12.5322 4.56136i −0.494223 0.179883i 0.0828707 0.996560i \(-0.473591\pi\)
−0.577094 + 0.816678i \(0.695813\pi\)
\(644\) 1.26650 0.0885625i 0.0499072 0.00348985i
\(645\) 7.29637 5.56598i 0.287294 0.219160i
\(646\) −2.04315 19.6057i −0.0803868 0.771377i
\(647\) −10.9775 + 7.97564i −0.431571 + 0.313555i −0.782277 0.622931i \(-0.785942\pi\)
0.350706 + 0.936486i \(0.385942\pi\)
\(648\) 10.5621 + 6.59995i 0.414920 + 0.259271i
\(649\) −40.3002 14.6681i −1.58192 0.575772i
\(650\) 1.09995 8.55784i 0.0431436 0.335666i
\(651\) −1.75216 9.93697i −0.0686724 0.389461i
\(652\) 15.4821 + 19.8162i 0.606327 + 0.776063i
\(653\) −3.49164 33.2207i −0.136638 1.30003i −0.821019 0.570901i \(-0.806594\pi\)
0.684380 0.729125i \(-0.260073\pi\)
\(654\) 11.6016 + 5.16539i 0.453660 + 0.201983i
\(655\) 6.02971 + 21.9837i 0.235600 + 0.858975i
\(656\) 5.81808 + 23.3350i 0.227158 + 0.911080i
\(657\) −12.2872 21.2821i −0.479371 0.830295i
\(658\) −53.2461 + 23.7067i −2.07575 + 0.924182i
\(659\) 0.231421 + 6.62703i 0.00901488 + 0.258153i 0.995528 + 0.0944691i \(0.0301153\pi\)
−0.986513 + 0.163683i \(0.947662\pi\)
\(660\) 0.551643 + 2.75123i 0.0214727 + 0.107091i
\(661\) −23.1783 + 3.25750i −0.901531 + 0.126702i −0.574684 0.818375i \(-0.694875\pi\)
−0.326847 + 0.945077i \(0.605986\pi\)
\(662\) 26.0483 33.3403i 1.01240 1.29581i
\(663\) −0.377116 0.933394i −0.0146460 0.0362500i
\(664\) −4.21383 12.9689i −0.163529 0.503289i
\(665\) −8.56649 31.3410i −0.332194 1.21535i
\(666\) −9.00339 + 27.7096i −0.348874 + 1.07372i
\(667\) −2.83364 + 0.198148i −0.109719 + 0.00767231i
\(668\) −15.0142 5.46473i −0.580917 0.211437i
\(669\) 3.41975 3.30242i 0.132215 0.127679i
\(670\) −52.2485 6.10272i −2.01854 0.235769i
\(671\) 2.15082 3.18872i 0.0830313 0.123099i
\(672\) −0.754859 7.18200i −0.0291193 0.277052i
\(673\) −23.6676 + 26.2856i −0.912320 + 1.01323i 0.0875343 + 0.996162i \(0.472101\pi\)
−0.999854 + 0.0170725i \(0.994565\pi\)
\(674\) 19.5684 + 16.4198i 0.753746 + 0.632468i
\(675\) −3.82425 + 10.9056i −0.147195 + 0.419757i
\(676\) 6.41216 + 11.1062i 0.246622 + 0.427161i
\(677\) −10.0950 2.14576i −0.387983 0.0824683i 0.00979036 0.999952i \(-0.496884\pi\)
−0.397773 + 0.917484i \(0.630217\pi\)
\(678\) 1.96024 2.90617i 0.0752824 0.111611i
\(679\) −28.9200 27.9277i −1.10985 1.07177i
\(680\) 9.31810 1.53223i 0.357333 0.0587584i
\(681\) −3.09961 4.59537i −0.118777 0.176095i
\(682\) −30.5471 + 25.6321i −1.16971 + 0.981503i
\(683\) 17.6811 + 12.8461i 0.676550 + 0.491542i 0.872211 0.489129i \(-0.162685\pi\)
−0.195661 + 0.980672i \(0.562685\pi\)
\(684\) 0.449523 + 13.2068i 0.0171879 + 0.504976i
\(685\) 9.40241 31.4154i 0.359248 1.20032i
\(686\) −14.2957 8.93295i −0.545813 0.341062i
\(687\) 0.571944 0.732054i 0.0218210 0.0279296i
\(688\) 45.7671 + 24.3348i 1.74486 + 0.927756i
\(689\) −7.40365 + 3.93659i −0.282057 + 0.149972i
\(690\) 0.0322131 + 0.552314i 0.00122633 + 0.0210262i
\(691\) −26.2353 29.1373i −0.998039 1.10843i −0.994103 0.108443i \(-0.965414\pi\)
−0.00393661 0.999992i \(-0.501253\pi\)
\(692\) −0.843678 + 8.02706i −0.0320718 + 0.305143i
\(693\) −21.6079 18.1312i −0.820817 0.688747i
\(694\) −13.2673 53.2122i −0.503620 2.01991i
\(695\) −23.2643 + 27.0835i −0.882465 + 1.02733i
\(696\) 0.537587 + 5.11480i 0.0203772 + 0.193876i
\(697\) 6.95236 10.3073i 0.263339 0.390417i
\(698\) −36.9148 + 19.6280i −1.39725 + 0.742930i
\(699\) −0.0162798 + 0.0923276i −0.000615760 + 0.00349215i
\(700\) −16.8340 + 5.69009i −0.636266 + 0.215065i
\(701\) −8.41230 + 7.05875i −0.317728 + 0.266605i −0.787677 0.616088i \(-0.788717\pi\)
0.469949 + 0.882693i \(0.344272\pi\)
\(702\) 1.23253 + 3.79334i 0.0465189 + 0.143170i
\(703\) 24.5242 7.00879i 0.924948 0.264341i
\(704\) 0.964656 0.700864i 0.0363569 0.0264148i
\(705\) −3.49864 8.10898i −0.131767 0.305402i
\(706\) 29.2642 + 43.3859i 1.10137 + 1.63285i
\(707\) −8.40400 + 47.6614i −0.316065 + 1.79249i
\(708\) 2.66416 5.46235i 0.100125 0.205288i
\(709\) −1.57307 45.0468i −0.0590778 1.69177i −0.561763 0.827298i \(-0.689877\pi\)
0.502685 0.864470i \(-0.332346\pi\)
\(710\) −34.8003 + 16.4782i −1.30603 + 0.618416i
\(711\) 20.5271 22.7977i 0.769827 0.854980i
\(712\) 6.72965 4.20515i 0.252204 0.157595i
\(713\) −2.31844 + 1.44872i −0.0868263 + 0.0542551i
\(714\) −3.98975 + 4.43107i −0.149313 + 0.165829i
\(715\) −3.14529 + 5.75403i −0.117627 + 0.215188i
\(716\) 0.177275 + 5.07649i 0.00662507 + 0.189717i
\(717\) 0.0741879 0.152108i 0.00277060 0.00568057i
\(718\) 1.07460 6.09436i 0.0401037 0.227439i
\(719\) −9.87323 14.6377i −0.368209 0.545893i 0.598713 0.800964i \(-0.295679\pi\)
−0.966922 + 0.255071i \(0.917901\pi\)
\(720\) −31.6263 + 2.95500i −1.17864 + 0.110126i
\(721\) −1.35118 + 0.981688i −0.0503205 + 0.0365600i
\(722\) 26.9503 19.5079i 1.00298 0.726009i
\(723\) 0.0340408 + 0.104767i 0.00126599 + 0.00389632i
\(724\) 11.7097 9.82564i 0.435189 0.365167i
\(725\) 37.6640 12.7309i 1.39881 0.472813i
\(726\) −0.257942 + 1.46286i −0.00957312 + 0.0542918i
\(727\) 8.89357 4.72880i 0.329844 0.175381i −0.296287 0.955099i \(-0.595748\pi\)
0.626131 + 0.779718i \(0.284637\pi\)
\(728\) 3.00396 4.45356i 0.111334 0.165060i
\(729\) 1.97716 + 18.8114i 0.0732282 + 0.696720i
\(730\) 31.2254 + 13.0376i 1.15571 + 0.482543i
\(731\) −6.48276 26.0009i −0.239774 0.961680i
\(732\) 0.417535 + 0.350354i 0.0154325 + 0.0129494i
\(733\) −1.18850 + 11.3079i −0.0438984 + 0.417665i 0.950400 + 0.311031i \(0.100674\pi\)
−0.994298 + 0.106635i \(0.965992\pi\)
\(734\) 25.0701 + 27.8432i 0.925356 + 1.02771i
\(735\) −1.96276 + 3.06176i −0.0723974 + 0.112935i
\(736\) −1.72758 + 0.918573i −0.0636796 + 0.0338591i
\(737\) 35.2998 + 18.7692i 1.30028 + 0.691373i
\(738\) −14.7575 + 18.8888i −0.543231 + 0.695305i
\(739\) −39.2497 24.5259i −1.44382 0.902201i −0.999981 0.00609508i \(-0.998060\pi\)
−0.443841 0.896105i \(-0.646385\pi\)
\(740\) −4.61929 13.1627i −0.169808 0.483869i
\(741\) 1.04725 1.33799i 0.0384718 0.0491522i
\(742\) 40.1795 + 29.1921i 1.47504 + 1.07168i
\(743\) 6.26653 5.25824i 0.229897 0.192906i −0.520561 0.853824i \(-0.674277\pi\)
0.750458 + 0.660918i \(0.229833\pi\)
\(744\) 2.76788 + 4.10355i 0.101475 + 0.150443i
\(745\) −4.33801 + 28.4751i −0.158932 + 1.04325i
\(746\) −2.30575 2.22664i −0.0844195 0.0815229i
\(747\) 13.2598 19.6585i 0.485152 0.719268i
\(748\) 8.01446 + 1.70353i 0.293038 + 0.0622871i
\(749\) −16.7816 29.0665i −0.613185 1.06207i
\(750\) −2.39464 7.36393i −0.0874401 0.268893i
\(751\) 4.60992 + 3.86818i 0.168218 + 0.141152i 0.723011 0.690837i \(-0.242758\pi\)
−0.554792 + 0.831989i \(0.687202\pi\)
\(752\) 33.3784 37.0705i 1.21719 1.35182i
\(753\) 0.202501 + 1.92667i 0.00737955 + 0.0702118i
\(754\) 7.67294 11.3756i 0.279432 0.414275i
\(755\) −2.63285 13.1309i −0.0958194 0.477883i
\(756\) 5.90890 5.70616i 0.214905 0.207531i
\(757\) −25.4044 9.24644i −0.923338 0.336067i −0.163772 0.986498i \(-0.552366\pi\)
−0.759566 + 0.650431i \(0.774588\pi\)
\(758\) −5.94328 + 0.415594i −0.215870 + 0.0150951i
\(759\) 0.129935 0.399899i 0.00471635 0.0145154i
\(760\) 10.0923 + 12.3359i 0.366085 + 0.447470i
\(761\) 2.70218 + 8.31645i 0.0979539 + 0.301471i 0.988012 0.154375i \(-0.0493365\pi\)
−0.890058 + 0.455847i \(0.849337\pi\)
\(762\) −0.817080 2.02235i −0.0295997 0.0732618i
\(763\) 37.6310 48.1655i 1.36233 1.74371i
\(764\) 6.05933 0.851584i 0.219219 0.0308092i
\(765\) 12.0755 + 11.1281i 0.436590 + 0.402339i
\(766\) 1.52348 + 43.6269i 0.0550457 + 1.57630i
\(767\) 12.9750 5.77683i 0.468499 0.208589i
\(768\) 3.87790 + 6.71672i 0.139932 + 0.242369i
\(769\) −7.12485 28.5762i −0.256929 1.03048i −0.950656 0.310247i \(-0.899588\pi\)
0.693727 0.720238i \(-0.255967\pi\)
\(770\) 38.7980 + 1.80393i 1.39818 + 0.0650091i