Properties

Label 930.2.br.b.11.17
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.17
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.358377 + 1.69457i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.182814 + 1.72238i) q^{6} +(-0.113415 - 1.07907i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.74313 - 1.21459i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.358377 + 1.69457i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.182814 + 1.72238i) q^{6} +(-0.113415 - 1.07907i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.74313 - 1.21459i) q^{9} +(0.669131 - 0.743145i) q^{10} +(2.56206 + 1.14070i) q^{11} +(0.706110 + 1.58158i) q^{12} +(1.02862 + 4.83927i) q^{13} +(-0.441316 - 0.991212i) q^{14} +(0.536921 + 1.64673i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.58997 - 0.707901i) q^{17} +(-2.98420 - 0.307470i) q^{18} +(1.90535 + 0.404995i) q^{19} +(0.406737 - 0.913545i) q^{20} +(1.86921 + 0.194526i) q^{21} +(2.78916 + 0.293153i) q^{22} +(4.13404 + 3.00356i) q^{23} +(1.16029 + 1.28598i) q^{24} +(0.500000 - 0.866025i) q^{25} +(2.47369 + 4.28455i) q^{26} +(3.04128 - 4.21314i) q^{27} +(-0.726018 - 0.806325i) q^{28} +(0.677305 + 2.08453i) q^{29} +(1.01951 + 1.40021i) q^{30} +(0.859116 - 5.50108i) q^{31} -1.00000i q^{32} +(-2.85119 + 3.93279i) q^{33} +(1.29340 - 1.16458i) q^{34} +(-0.637757 - 0.877797i) q^{35} +(-2.93316 + 0.629748i) q^{36} +(2.45281 + 1.41613i) q^{37} +(1.93725 - 0.203613i) q^{38} +(-8.56910 + 0.00878069i) q^{39} +(0.104528 - 0.994522i) q^{40} +(0.267518 + 0.240874i) q^{41} +(1.83784 - 0.392613i) q^{42} +(-0.350040 + 1.64681i) q^{43} +(2.74324 - 0.583094i) q^{44} +(-2.98292 + 0.319699i) q^{45} +(4.85986 + 1.57906i) q^{46} +(-4.18402 - 1.35947i) q^{47} +(1.50089 + 0.864488i) q^{48} +(5.69550 - 1.21062i) q^{49} +(0.207912 - 0.978148i) q^{50} +(0.629778 + 2.94801i) q^{51} +(3.67662 + 3.31044i) q^{52} +(-0.556631 + 5.29599i) q^{53} +(1.59050 - 4.94675i) q^{54} +(2.78916 - 0.293153i) q^{55} +(-0.939652 - 0.542509i) q^{56} +(-1.36913 + 3.08361i) q^{57} +(1.28831 + 1.77321i) q^{58} +(-8.37326 + 7.53932i) q^{59} +(1.40230 + 1.01664i) q^{60} +2.17337i q^{61} +(-0.882860 - 5.49732i) q^{62} +(-0.999520 + 3.09779i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(3.31044 + 3.67662i) q^{65} +(-1.49634 + 4.62137i) q^{66} +(0.967850 + 1.67637i) q^{67} +(0.870221 - 1.50727i) q^{68} +(-6.57128 + 5.92901i) q^{69} +(-0.877797 - 0.637757i) q^{70} +(-9.83673 - 1.03388i) q^{71} +(-2.59500 + 1.50532i) q^{72} +(5.48528 - 12.3201i) q^{73} +(2.77037 + 0.588861i) q^{74} +(1.28835 + 1.15765i) q^{75} +(1.77951 - 0.792289i) q^{76} +(0.940326 - 2.89403i) q^{77} +(-8.14699 + 2.65635i) q^{78} +(-6.34492 - 14.2509i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(6.04954 + 6.66356i) q^{81} +(0.328859 + 0.146417i) q^{82} +(-8.96001 + 9.95110i) q^{83} +(1.62656 - 0.941320i) q^{84} +(1.02301 - 1.40805i) q^{85} +(0.175984 + 1.67438i) q^{86} +(-3.77511 + 0.400692i) q^{87} +(2.42879 - 1.40226i) q^{88} +(-5.49395 + 3.99159i) q^{89} +(-2.73813 + 1.22582i) q^{90} +(5.10526 - 1.65880i) q^{91} +5.10996 q^{92} +(9.01408 + 3.42730i) q^{93} -4.39934 q^{94} +(1.85258 - 0.601940i) q^{95} +(1.69457 + 0.358377i) q^{96} +(-5.71138 + 4.14956i) q^{97} +(5.04264 - 2.91137i) q^{98} +(-5.64259 - 6.24096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −0.358377 + 1.69457i −0.206909 + 0.978360i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.182814 + 1.72238i 0.0746333 + 0.703157i
\(7\) −0.113415 1.07907i −0.0428669 0.407851i −0.994823 0.101618i \(-0.967598\pi\)
0.951957 0.306233i \(-0.0990687\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −2.74313 1.21459i −0.914377 0.404864i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 2.56206 + 1.14070i 0.772491 + 0.343935i 0.754840 0.655909i \(-0.227715\pi\)
0.0176510 + 0.999844i \(0.494381\pi\)
\(12\) 0.706110 + 1.58158i 0.203836 + 0.456564i
\(13\) 1.02862 + 4.83927i 0.285287 + 1.34217i 0.854274 + 0.519824i \(0.174002\pi\)
−0.568986 + 0.822347i \(0.692664\pi\)
\(14\) −0.441316 0.991212i −0.117947 0.264913i
\(15\) 0.536921 + 1.64673i 0.138632 + 0.425184i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 1.58997 0.707901i 0.385625 0.171691i −0.204762 0.978812i \(-0.565642\pi\)
0.590387 + 0.807121i \(0.298975\pi\)
\(18\) −2.98420 0.307470i −0.703383 0.0724714i
\(19\) 1.90535 + 0.404995i 0.437117 + 0.0929122i 0.421214 0.906961i \(-0.361604\pi\)
0.0159036 + 0.999874i \(0.494938\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 1.86921 + 0.194526i 0.407895 + 0.0424490i
\(22\) 2.78916 + 0.293153i 0.594652 + 0.0625004i
\(23\) 4.13404 + 3.00356i 0.862007 + 0.626285i 0.928430 0.371507i \(-0.121159\pi\)
−0.0664232 + 0.997792i \(0.521159\pi\)
\(24\) 1.16029 + 1.28598i 0.236842 + 0.262499i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 2.47369 + 4.28455i 0.485130 + 0.840270i
\(27\) 3.04128 4.21314i 0.585296 0.810820i
\(28\) −0.726018 0.806325i −0.137205 0.152381i
\(29\) 0.677305 + 2.08453i 0.125772 + 0.387087i 0.994041 0.109007i \(-0.0347670\pi\)
−0.868269 + 0.496094i \(0.834767\pi\)
\(30\) 1.01951 + 1.40021i 0.186136 + 0.255643i
\(31\) 0.859116 5.50108i 0.154302 0.988024i
\(32\) 1.00000i 0.176777i
\(33\) −2.85119 + 3.93279i −0.496328 + 0.684611i
\(34\) 1.29340 1.16458i 0.221816 0.199724i
\(35\) −0.637757 0.877797i −0.107801 0.148375i
\(36\) −2.93316 + 0.629748i −0.488860 + 0.104958i
\(37\) 2.45281 + 1.41613i 0.403240 + 0.232811i 0.687881 0.725824i \(-0.258541\pi\)
−0.284641 + 0.958634i \(0.591874\pi\)
\(38\) 1.93725 0.203613i 0.314263 0.0330304i
\(39\) −8.56910 + 0.00878069i −1.37215 + 0.00140604i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 0.267518 + 0.240874i 0.0417792 + 0.0376182i 0.689756 0.724042i \(-0.257718\pi\)
−0.647977 + 0.761660i \(0.724385\pi\)
\(42\) 1.83784 0.392613i 0.283584 0.0605815i
\(43\) −0.350040 + 1.64681i −0.0533806 + 0.251136i −0.996745 0.0806234i \(-0.974309\pi\)
0.943364 + 0.331759i \(0.107642\pi\)
\(44\) 2.74324 0.583094i 0.413559 0.0879047i
\(45\) −2.98292 + 0.319699i −0.444667 + 0.0476579i
\(46\) 4.85986 + 1.57906i 0.716547 + 0.232820i
\(47\) −4.18402 1.35947i −0.610302 0.198299i −0.0124720 0.999922i \(-0.503970\pi\)
−0.597830 + 0.801623i \(0.703970\pi\)
\(48\) 1.50089 + 0.864488i 0.216634 + 0.124778i
\(49\) 5.69550 1.21062i 0.813642 0.172945i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 0.629778 + 2.94801i 0.0881865 + 0.412805i
\(52\) 3.67662 + 3.31044i 0.509855 + 0.459076i
\(53\) −0.556631 + 5.29599i −0.0764592 + 0.727461i 0.887391 + 0.461017i \(0.152515\pi\)
−0.963850 + 0.266444i \(0.914151\pi\)
\(54\) 1.59050 4.94675i 0.216440 0.673167i
\(55\) 2.78916 0.293153i 0.376091 0.0395287i
\(56\) −0.939652 0.542509i −0.125566 0.0724958i
\(57\) −1.36913 + 3.08361i −0.181345 + 0.408434i
\(58\) 1.28831 + 1.77321i 0.169163 + 0.232833i
\(59\) −8.37326 + 7.53932i −1.09011 + 0.981536i −0.999897 0.0143869i \(-0.995420\pi\)
−0.0902095 + 0.995923i \(0.528754\pi\)
\(60\) 1.40230 + 1.01664i 0.181036 + 0.131247i
\(61\) 2.17337i 0.278271i 0.990273 + 0.139136i \(0.0444324\pi\)
−0.990273 + 0.139136i \(0.955568\pi\)
\(62\) −0.882860 5.49732i −0.112123 0.698161i
\(63\) −0.999520 + 3.09779i −0.125928 + 0.390285i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 3.31044 + 3.67662i 0.410610 + 0.456028i
\(66\) −1.49634 + 4.62137i −0.184187 + 0.568851i
\(67\) 0.967850 + 1.67637i 0.118242 + 0.204801i 0.919071 0.394092i \(-0.128941\pi\)
−0.800829 + 0.598893i \(0.795608\pi\)
\(68\) 0.870221 1.50727i 0.105530 0.182783i
\(69\) −6.57128 + 5.92901i −0.791089 + 0.713769i
\(70\) −0.877797 0.637757i −0.104917 0.0762265i
\(71\) −9.83673 1.03388i −1.16741 0.122699i −0.499072 0.866561i \(-0.666326\pi\)
−0.668334 + 0.743862i \(0.732992\pi\)
\(72\) −2.59500 + 1.50532i −0.305823 + 0.177404i
\(73\) 5.48528 12.3201i 0.642004 1.44196i −0.240024 0.970767i \(-0.577155\pi\)
0.882028 0.471197i \(-0.156178\pi\)
\(74\) 2.77037 + 0.588861i 0.322049 + 0.0684537i
\(75\) 1.28835 + 1.15765i 0.148766 + 0.133674i
\(76\) 1.77951 0.792289i 0.204124 0.0908818i
\(77\) 0.940326 2.89403i 0.107160 0.329805i
\(78\) −8.14699 + 2.65635i −0.922465 + 0.300772i
\(79\) −6.34492 14.2509i −0.713859 1.60335i −0.794970 0.606649i \(-0.792513\pi\)
0.0811108 0.996705i \(-0.474153\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) 6.04954 + 6.66356i 0.672171 + 0.740396i
\(82\) 0.328859 + 0.146417i 0.0363164 + 0.0161691i
\(83\) −8.96001 + 9.95110i −0.983489 + 1.09228i 0.0122372 + 0.999925i \(0.496105\pi\)
−0.995727 + 0.0923505i \(0.970562\pi\)
\(84\) 1.62656 0.941320i 0.177472 0.102706i
\(85\) 1.02301 1.40805i 0.110961 0.152724i
\(86\) 0.175984 + 1.67438i 0.0189768 + 0.180553i
\(87\) −3.77511 + 0.400692i −0.404734 + 0.0429586i
\(88\) 2.42879 1.40226i 0.258910 0.149482i
\(89\) −5.49395 + 3.99159i −0.582358 + 0.423108i −0.839573 0.543246i \(-0.817195\pi\)
0.257216 + 0.966354i \(0.417195\pi\)
\(90\) −2.73813 + 1.22582i −0.288624 + 0.129213i
\(91\) 5.10526 1.65880i 0.535177 0.173889i
\(92\) 5.10996 0.532750
\(93\) 9.01408 + 3.42730i 0.934717 + 0.355394i
\(94\) −4.39934 −0.453757
\(95\) 1.85258 0.601940i 0.190071 0.0617577i
\(96\) 1.69457 + 0.358377i 0.172951 + 0.0365767i
\(97\) −5.71138 + 4.14956i −0.579903 + 0.421324i −0.838689 0.544611i \(-0.816677\pi\)
0.258786 + 0.965935i \(0.416677\pi\)
\(98\) 5.04264 2.91137i 0.509383 0.294093i
\(99\) −5.64259 6.24096i −0.567101 0.627240i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 2.22301 3.05971i 0.221198 0.304452i −0.683968 0.729512i \(-0.739747\pi\)
0.905165 + 0.425060i \(0.139747\pi\)
\(102\) 1.50994 + 2.60912i 0.149506 + 0.258341i
\(103\) 8.12338 9.02192i 0.800420 0.888957i −0.195360 0.980732i \(-0.562587\pi\)
0.995780 + 0.0917750i \(0.0292541\pi\)
\(104\) 4.51965 + 2.01228i 0.443189 + 0.197320i
\(105\) 1.71605 0.766141i 0.167469 0.0747677i
\(106\) 1.10716 + 5.20880i 0.107537 + 0.505923i
\(107\) −0.518603 1.16480i −0.0501353 0.112606i 0.886741 0.462266i \(-0.152964\pi\)
−0.936876 + 0.349661i \(0.886297\pi\)
\(108\) −0.0159733 5.19613i −0.00153703 0.499998i
\(109\) 3.02851 9.32081i 0.290079 0.892771i −0.694751 0.719250i \(-0.744486\pi\)
0.984830 0.173521i \(-0.0555145\pi\)
\(110\) 2.56206 1.14070i 0.244283 0.108762i
\(111\) −3.27877 + 3.64895i −0.311207 + 0.346343i
\(112\) −1.06131 0.225588i −0.100284 0.0213160i
\(113\) 5.22443 11.7343i 0.491473 1.10387i −0.482230 0.876044i \(-0.660173\pi\)
0.973703 0.227821i \(-0.0731601\pi\)
\(114\) −0.349229 + 3.35577i −0.0327083 + 0.314297i
\(115\) 5.08196 + 0.534136i 0.473895 + 0.0498084i
\(116\) 1.77321 + 1.28831i 0.164638 + 0.119617i
\(117\) 3.05609 14.5241i 0.282536 1.34275i
\(118\) −5.63367 + 9.75780i −0.518621 + 0.898278i
\(119\) −0.944204 1.63541i −0.0865551 0.149918i
\(120\) 1.64783 + 0.533545i 0.150425 + 0.0487058i
\(121\) −2.09748 2.32948i −0.190680 0.211771i
\(122\) 0.671608 + 2.06700i 0.0608045 + 0.187137i
\(123\) −0.504050 + 0.367004i −0.0454487 + 0.0330916i
\(124\) −2.53842 4.95545i −0.227956 0.445012i
\(125\) 1.00000i 0.0894427i
\(126\) 0.00667084 + 3.25504i 0.000594286 + 0.289982i
\(127\) 2.48363 2.23627i 0.220387 0.198437i −0.551540 0.834148i \(-0.685960\pi\)
0.771927 + 0.635711i \(0.219293\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −2.66519 1.18335i −0.234656 0.104188i
\(130\) 4.28455 + 2.47369i 0.375780 + 0.216957i
\(131\) −8.72067 + 0.916579i −0.761928 + 0.0800819i −0.477519 0.878621i \(-0.658464\pi\)
−0.284409 + 0.958703i \(0.591797\pi\)
\(132\) 0.00497752 + 4.85758i 0.000433238 + 0.422798i
\(133\) 0.220923 2.10195i 0.0191565 0.182262i
\(134\) 1.43851 + 1.29524i 0.124268 + 0.111891i
\(135\) 0.527257 5.16933i 0.0453791 0.444905i
\(136\) 0.361858 1.70241i 0.0310291 0.145980i
\(137\) 6.54191 1.39053i 0.558914 0.118801i 0.0802110 0.996778i \(-0.474441\pi\)
0.478703 + 0.877977i \(0.341107\pi\)
\(138\) −4.41749 + 7.66946i −0.376042 + 0.652868i
\(139\) −12.3210 4.00333i −1.04505 0.339558i −0.264327 0.964433i \(-0.585150\pi\)
−0.780725 + 0.624875i \(0.785150\pi\)
\(140\) −1.03191 0.335289i −0.0872125 0.0283371i
\(141\) 3.80317 6.60290i 0.320285 0.556065i
\(142\) −9.67478 + 2.05644i −0.811889 + 0.172572i
\(143\) −2.88479 + 13.5718i −0.241238 + 1.13494i
\(144\) −2.00282 + 2.23354i −0.166902 + 0.186129i
\(145\) 1.62883 + 1.46660i 0.135267 + 0.121795i
\(146\) 1.40968 13.4122i 0.116666 1.11000i
\(147\) 0.0103343 + 10.0853i 0.000852358 + 0.831819i
\(148\) 2.81675 0.296052i 0.231535 0.0243353i
\(149\) −13.9398 8.04813i −1.14199 0.659329i −0.195068 0.980790i \(-0.562493\pi\)
−0.946923 + 0.321461i \(0.895826\pi\)
\(150\) 1.58303 + 0.702867i 0.129254 + 0.0573888i
\(151\) −5.36846 7.38905i −0.436879 0.601312i 0.532636 0.846344i \(-0.321201\pi\)
−0.969515 + 0.245032i \(0.921201\pi\)
\(152\) 1.44758 1.30341i 0.117415 0.105721i
\(153\) −5.22131 + 0.0107005i −0.422118 + 0.000865083i
\(154\) 3.04296i 0.245209i
\(155\) −2.00653 5.19364i −0.161168 0.417163i
\(156\) −6.92739 + 5.04390i −0.554635 + 0.403835i
\(157\) 5.24115 + 16.1306i 0.418289 + 1.28736i 0.909276 + 0.416195i \(0.136636\pi\)
−0.490986 + 0.871167i \(0.663364\pi\)
\(158\) −10.4382 11.5927i −0.830415 0.922269i
\(159\) −8.77495 2.84122i −0.695898 0.225323i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 2.77219 4.80158i 0.218480 0.378418i
\(162\) 7.81261 + 4.46802i 0.613816 + 0.351040i
\(163\) −11.5080 8.36106i −0.901377 0.654889i 0.0374423 0.999299i \(-0.488079\pi\)
−0.938819 + 0.344410i \(0.888079\pi\)
\(164\) 0.358009 + 0.0376282i 0.0279558 + 0.00293827i
\(165\) −0.502805 + 4.83149i −0.0391433 + 0.376131i
\(166\) −5.44642 + 12.2329i −0.422724 + 0.949454i
\(167\) −9.78410 2.07968i −0.757117 0.160930i −0.186849 0.982389i \(-0.559827\pi\)
−0.570268 + 0.821459i \(0.693161\pi\)
\(168\) 1.25607 1.39788i 0.0969078 0.107849i
\(169\) −10.4843 + 4.66793i −0.806488 + 0.359072i
\(170\) 0.537826 1.65526i 0.0412494 0.126952i
\(171\) −4.73472 3.42518i −0.362073 0.261930i
\(172\) 0.684782 + 1.53804i 0.0522141 + 0.117275i
\(173\) 3.30095 + 15.5298i 0.250967 + 1.18071i 0.905391 + 0.424578i \(0.139578\pi\)
−0.654424 + 0.756127i \(0.727089\pi\)
\(174\) −3.46652 + 1.54765i −0.262796 + 0.117327i
\(175\) −0.991212 0.441316i −0.0749286 0.0333604i
\(176\) 1.87659 2.08417i 0.141454 0.157100i
\(177\) −9.77511 16.8910i −0.734743 1.26961i
\(178\) −3.99159 + 5.49395i −0.299182 + 0.411789i
\(179\) −2.74109 26.0797i −0.204878 1.94929i −0.300283 0.953850i \(-0.597081\pi\)
0.0954047 0.995439i \(-0.469585\pi\)
\(180\) −2.22532 + 2.01196i −0.165865 + 0.149962i
\(181\) 8.18523 4.72575i 0.608404 0.351262i −0.163937 0.986471i \(-0.552419\pi\)
0.772340 + 0.635209i \(0.219086\pi\)
\(182\) 4.34279 3.15522i 0.321909 0.233881i
\(183\) −3.68292 0.778886i −0.272249 0.0575769i
\(184\) 4.85986 1.57906i 0.358273 0.116410i
\(185\) 2.83226 0.208232
\(186\) 9.63199 + 0.474049i 0.706252 + 0.0347589i
\(187\) 4.88111 0.356942
\(188\) −4.18402 + 1.35947i −0.305151 + 0.0991495i
\(189\) −4.89122 2.80393i −0.355784 0.203956i
\(190\) 1.57590 1.14496i 0.114328 0.0830639i
\(191\) 5.63445 3.25305i 0.407694 0.235382i −0.282104 0.959384i \(-0.591032\pi\)
0.689799 + 0.724001i \(0.257699\pi\)
\(192\) 1.72238 0.182814i 0.124302 0.0131934i
\(193\) −1.15411 10.9807i −0.0830749 0.790405i −0.954165 0.299281i \(-0.903253\pi\)
0.871090 0.491123i \(-0.163414\pi\)
\(194\) −4.14956 + 5.71138i −0.297921 + 0.410053i
\(195\) −7.41667 + 4.29216i −0.531119 + 0.307368i
\(196\) 3.89617 4.32714i 0.278298 0.309081i
\(197\) 19.6057 + 8.72900i 1.39685 + 0.621916i 0.960606 0.277915i \(-0.0896432\pi\)
0.436240 + 0.899830i \(0.356310\pi\)
\(198\) −7.29498 4.19185i −0.518432 0.297902i
\(199\) −0.723398 3.40332i −0.0512803 0.241255i 0.945041 0.326952i \(-0.106022\pi\)
−0.996321 + 0.0856971i \(0.972688\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) −3.18757 + 1.03932i −0.224834 + 0.0733078i
\(202\) 1.16870 3.59690i 0.0822297 0.253077i
\(203\) 2.17254 0.967279i 0.152483 0.0678896i
\(204\) 2.24230 + 2.01482i 0.156992 + 0.141066i
\(205\) 0.352114 + 0.0748442i 0.0245927 + 0.00522734i
\(206\) 4.93786 11.0906i 0.344037 0.772720i
\(207\) −7.69212 13.2603i −0.534640 0.921656i
\(208\) 4.92028 + 0.517142i 0.341160 + 0.0358573i
\(209\) 4.41965 + 3.21106i 0.305713 + 0.222114i
\(210\) 1.39531 1.25893i 0.0962853 0.0868745i
\(211\) −5.90668 + 10.2307i −0.406633 + 0.704308i −0.994510 0.104642i \(-0.966630\pi\)
0.587877 + 0.808950i \(0.299964\pi\)
\(212\) 2.66258 + 4.61173i 0.182867 + 0.316735i
\(213\) 5.27725 16.2985i 0.361591 1.11676i
\(214\) −0.853164 0.947535i −0.0583211 0.0647722i
\(215\) 0.520261 + 1.60120i 0.0354815 + 0.109201i
\(216\) −1.62088 4.93688i −0.110287 0.335912i
\(217\) −6.03351 0.303143i −0.409581 0.0205787i
\(218\) 9.80048i 0.663772i
\(219\) 18.9115 + 13.7105i 1.27792 + 0.926467i
\(220\) 2.08417 1.87659i 0.140515 0.126520i
\(221\) 5.06119 + 6.96614i 0.340453 + 0.468593i
\(222\) −1.99070 + 4.48355i −0.133607 + 0.300916i
\(223\) −19.6581 11.3496i −1.31640 0.760025i −0.333254 0.942837i \(-0.608147\pi\)
−0.983148 + 0.182812i \(0.941480\pi\)
\(224\) −1.07907 + 0.113415i −0.0720986 + 0.00757787i
\(225\) −2.42343 + 1.76833i −0.161562 + 0.117888i
\(226\) 1.34264 12.7744i 0.0893111 0.849739i
\(227\) 11.1638 + 10.0519i 0.740969 + 0.667171i 0.950533 0.310624i \(-0.100538\pi\)
−0.209564 + 0.977795i \(0.567205\pi\)
\(228\) 0.704853 + 3.29944i 0.0466800 + 0.218511i
\(229\) −4.47148 + 21.0367i −0.295484 + 1.39014i 0.540480 + 0.841357i \(0.318243\pi\)
−0.835964 + 0.548785i \(0.815091\pi\)
\(230\) 4.99829 1.06242i 0.329578 0.0700539i
\(231\) 4.56714 + 2.63060i 0.300496 + 0.173081i
\(232\) 2.08453 + 0.677305i 0.136856 + 0.0444672i
\(233\) −15.7270 5.11001i −1.03031 0.334768i −0.255397 0.966836i \(-0.582206\pi\)
−0.774913 + 0.632068i \(0.782206\pi\)
\(234\) −1.58167 14.7576i −0.103397 0.964736i
\(235\) −4.30320 + 0.914673i −0.280710 + 0.0596667i
\(236\) −2.34261 + 11.0211i −0.152491 + 0.717414i
\(237\) 26.4231 5.64470i 1.71636 0.366663i
\(238\) −1.40336 1.26359i −0.0909664 0.0819065i
\(239\) 0.171834 1.63489i 0.0111150 0.105752i −0.987558 0.157257i \(-0.949735\pi\)
0.998673 + 0.0515046i \(0.0164017\pi\)
\(240\) 1.73205 0.00177482i 0.111803 0.000114564i
\(241\) 5.82709 0.612452i 0.375356 0.0394515i 0.0850275 0.996379i \(-0.472902\pi\)
0.290328 + 0.956927i \(0.406236\pi\)
\(242\) −2.71467 1.56732i −0.174506 0.100751i
\(243\) −13.4599 + 7.86329i −0.863452 + 0.504430i
\(244\) 1.27747 + 1.75829i 0.0817819 + 0.112563i
\(245\) 4.32714 3.89617i 0.276451 0.248917i
\(246\) −0.365970 + 0.504801i −0.0233334 + 0.0321849i
\(247\) 9.63708i 0.613193i
\(248\) −3.94549 3.92850i −0.250539 0.249460i
\(249\) −13.6518 18.7496i −0.865146 1.18821i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −4.26731 4.73932i −0.269350 0.299143i 0.593262 0.805009i \(-0.297840\pi\)
−0.862612 + 0.505866i \(0.831173\pi\)
\(252\) 1.01221 + 3.09367i 0.0637631 + 0.194883i
\(253\) 7.16550 + 12.4110i 0.450491 + 0.780274i
\(254\) 1.67103 2.89430i 0.104850 0.181605i
\(255\) 2.01941 + 2.23817i 0.126460 + 0.140159i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 21.3550 + 2.24450i 1.33209 + 0.140008i 0.743670 0.668547i \(-0.233083\pi\)
0.588420 + 0.808555i \(0.299750\pi\)
\(258\) −2.90042 0.301841i −0.180572 0.0187918i
\(259\) 1.24992 2.80737i 0.0776665 0.174442i
\(260\) 4.83927 + 1.02862i 0.300119 + 0.0637922i
\(261\) 0.673915 6.54079i 0.0417143 0.404864i
\(262\) −8.01061 + 3.56655i −0.494897 + 0.220342i
\(263\) −6.72329 + 20.6922i −0.414576 + 1.27593i 0.498053 + 0.867146i \(0.334048\pi\)
−0.912630 + 0.408788i \(0.865952\pi\)
\(264\) 1.50581 + 4.61829i 0.0926761 + 0.284236i
\(265\) 2.16594 + 4.86478i 0.133053 + 0.298841i
\(266\) −0.439426 2.06734i −0.0269430 0.126757i
\(267\) −4.79512 10.7404i −0.293456 0.657301i
\(268\) 1.76835 + 0.787320i 0.108019 + 0.0480932i
\(269\) −15.0429 + 16.7068i −0.917181 + 1.01863i 0.0825761 + 0.996585i \(0.473685\pi\)
−0.999757 + 0.0220477i \(0.992981\pi\)
\(270\) −1.09596 5.07926i −0.0666980 0.309114i
\(271\) −15.5909 + 21.4591i −0.947082 + 1.30355i 0.00572905 + 0.999984i \(0.498176\pi\)
−0.952811 + 0.303563i \(0.901824\pi\)
\(272\) −0.181926 1.73091i −0.0110309 0.104952i
\(273\) 0.981342 + 9.24570i 0.0593935 + 0.559575i
\(274\) 5.79203 3.34403i 0.349910 0.202020i
\(275\) 2.26891 1.64846i 0.136820 0.0994058i
\(276\) −1.83129 + 8.65917i −0.110231 + 0.521221i
\(277\) 16.9181 5.49703i 1.01651 0.330285i 0.247067 0.968998i \(-0.420533\pi\)
0.769445 + 0.638713i \(0.220533\pi\)
\(278\) −12.9551 −0.776992
\(279\) −9.03823 + 14.0467i −0.541105 + 0.840955i
\(280\) −1.08502 −0.0648422
\(281\) 0.545324 0.177186i 0.0325313 0.0105701i −0.292706 0.956202i \(-0.594556\pi\)
0.325237 + 0.945632i \(0.394556\pi\)
\(282\) 1.57662 7.45498i 0.0938865 0.443938i
\(283\) 22.5931 16.4149i 1.34302 0.975762i 0.343695 0.939081i \(-0.388321\pi\)
0.999327 0.0366809i \(-0.0116785\pi\)
\(284\) −8.56578 + 4.94546i −0.508286 + 0.293459i
\(285\) 0.356106 + 3.35505i 0.0210939 + 0.198736i
\(286\) 1.45034 + 13.7990i 0.0857603 + 0.815955i
\(287\) 0.229580 0.315990i 0.0135517 0.0186523i
\(288\) −1.21459 + 2.74313i −0.0715704 + 0.161641i
\(289\) −9.34833 + 10.3824i −0.549902 + 0.610728i
\(290\) 2.00231 + 0.891487i 0.117580 + 0.0523499i
\(291\) −4.98489 11.1654i −0.292219 0.654530i
\(292\) −2.80391 13.1914i −0.164087 0.771967i
\(293\) −6.04617 13.5799i −0.353221 0.793347i −0.999541 0.0302813i \(-0.990360\pi\)
0.646320 0.763066i \(-0.276307\pi\)
\(294\) 3.12635 + 9.58847i 0.182332 + 0.559211i
\(295\) −3.48180 + 10.7159i −0.202718 + 0.623902i
\(296\) 2.58740 1.15199i 0.150390 0.0669578i
\(297\) 12.5979 7.32514i 0.731005 0.425047i
\(298\) −15.7445 3.34660i −0.912056 0.193863i
\(299\) −10.2827 + 23.0952i −0.594662 + 1.33563i
\(300\) 1.72275 + 0.179283i 0.0994628 + 0.0103509i
\(301\) 1.81673 + 0.190946i 0.104714 + 0.0110059i
\(302\) −7.38905 5.36846i −0.425192 0.308920i
\(303\) 4.38821 + 4.86357i 0.252096 + 0.279405i
\(304\) 0.973959 1.68695i 0.0558604 0.0967530i
\(305\) 1.08668 + 1.88219i 0.0622233 + 0.107774i
\(306\) −4.96246 + 1.62365i −0.283685 + 0.0928179i
\(307\) 5.33919 + 5.92977i 0.304723 + 0.338430i 0.875985 0.482338i \(-0.160212\pi\)
−0.571262 + 0.820768i \(0.693546\pi\)
\(308\) −0.940326 2.89403i −0.0535801 0.164902i
\(309\) 12.3770 + 16.9989i 0.704105 + 0.967033i
\(310\) −3.51324 4.31939i −0.199539 0.245325i
\(311\) 1.63084i 0.0924767i 0.998930 + 0.0462384i \(0.0147234\pi\)
−0.998930 + 0.0462384i \(0.985277\pi\)
\(312\) −5.02969 + 6.93771i −0.284750 + 0.392771i
\(313\) 8.87925 7.99491i 0.501885 0.451899i −0.378885 0.925444i \(-0.623692\pi\)
0.880770 + 0.473545i \(0.157026\pi\)
\(314\) 9.96926 + 13.7215i 0.562598 + 0.774349i
\(315\) 0.683287 + 3.18253i 0.0384989 + 0.179315i
\(316\) −13.5096 7.79979i −0.759976 0.438772i
\(317\) −15.7851 + 1.65908i −0.886580 + 0.0931833i −0.536860 0.843671i \(-0.680390\pi\)
−0.349719 + 0.936854i \(0.613723\pi\)
\(318\) −9.22345 + 0.00945119i −0.517226 + 0.000529997i
\(319\) −0.642534 + 6.11330i −0.0359750 + 0.342279i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 2.15969 0.461370i 0.120542 0.0257512i
\(322\) 1.15274 5.42323i 0.0642399 0.302225i
\(323\) 3.31615 0.704870i 0.184516 0.0392200i
\(324\) 8.81092 + 1.83511i 0.489496 + 0.101950i
\(325\) 4.70524 + 1.52882i 0.261000 + 0.0848039i
\(326\) −13.5285 4.39567i −0.749273 0.243454i
\(327\) 14.7094 + 8.47239i 0.813432 + 0.468524i
\(328\) 0.352114 0.0748442i 0.0194423 0.00413258i
\(329\) −0.992436 + 4.66905i −0.0547148 + 0.257413i
\(330\) 1.01482 + 4.75040i 0.0558638 + 0.261501i
\(331\) −4.94172 4.44955i −0.271622 0.244569i 0.522051 0.852914i \(-0.325167\pi\)
−0.793673 + 0.608345i \(0.791834\pi\)
\(332\) −1.39969 + 13.3172i −0.0768181 + 0.730875i
\(333\) −5.00837 6.86380i −0.274457 0.376134i
\(334\) −9.94789 + 1.04557i −0.544324 + 0.0572108i
\(335\) 1.67637 + 0.967850i 0.0915896 + 0.0528793i
\(336\) 0.762622 1.71761i 0.0416045 0.0937035i
\(337\) 3.31825 + 4.56717i 0.180756 + 0.248790i 0.889774 0.456400i \(-0.150862\pi\)
−0.709018 + 0.705190i \(0.750862\pi\)
\(338\) −8.52874 + 7.67931i −0.463902 + 0.417699i
\(339\) 18.0122 + 13.0584i 0.978288 + 0.709237i
\(340\) 1.74044i 0.0943887i
\(341\) 8.47622 13.1141i 0.459013 0.710170i
\(342\) −5.56143 1.79443i −0.300728 0.0970314i
\(343\) −4.29932 13.2319i −0.232141 0.714458i
\(344\) 1.12655 + 1.25116i 0.0607394 + 0.0674579i
\(345\) −2.72639 + 8.42032i −0.146784 + 0.453335i
\(346\) 7.93835 + 13.7496i 0.426768 + 0.739185i
\(347\) 1.02223 1.77056i 0.0548764 0.0950487i −0.837282 0.546771i \(-0.815857\pi\)
0.892159 + 0.451722i \(0.149190\pi\)
\(348\) −2.81861 + 2.54312i −0.151093 + 0.136326i
\(349\) −0.0904382 0.0657072i −0.00484104 0.00351722i 0.585362 0.810772i \(-0.300952\pi\)
−0.590203 + 0.807255i \(0.700952\pi\)
\(350\) −1.07907 0.113415i −0.0576789 0.00606230i
\(351\) 23.5168 + 10.3839i 1.25524 + 0.554250i
\(352\) 1.14070 2.56206i 0.0607997 0.136558i
\(353\) −22.5622 4.79575i −1.20087 0.255252i −0.436302 0.899800i \(-0.643712\pi\)
−0.764564 + 0.644548i \(0.777046\pi\)
\(354\) −14.5163 13.0436i −0.771532 0.693260i
\(355\) −9.03580 + 4.02300i −0.479571 + 0.213519i
\(356\) −2.09850 + 6.45853i −0.111220 + 0.342301i
\(357\) 3.10970 1.01393i 0.164583 0.0536626i
\(358\) −10.6660 23.9562i −0.563716 1.26613i
\(359\) 3.33381 + 15.6843i 0.175952 + 0.827787i 0.974240 + 0.225512i \(0.0724055\pi\)
−0.798289 + 0.602275i \(0.794261\pi\)
\(360\) −1.49467 + 2.60114i −0.0787762 + 0.137092i
\(361\) −13.8910 6.18468i −0.731106 0.325510i
\(362\) 6.32428 7.02383i 0.332397 0.369164i
\(363\) 4.69916 2.71949i 0.246642 0.142736i
\(364\) 3.15522 4.34279i 0.165379 0.227624i
\(365\) −1.40968 13.4122i −0.0737860 0.702027i
\(366\) −3.74336 + 0.397321i −0.195668 + 0.0207683i
\(367\) 7.58642 4.38002i 0.396008 0.228635i −0.288752 0.957404i \(-0.593240\pi\)
0.684760 + 0.728769i \(0.259907\pi\)
\(368\) 4.13404 3.00356i 0.215502 0.156571i
\(369\) −0.441273 0.985674i −0.0229717 0.0513121i
\(370\) 2.69364 0.875218i 0.140036 0.0455004i
\(371\) 5.77790 0.299973
\(372\) 9.30706 2.52560i 0.482548 0.130946i
\(373\) 14.7122 0.761766 0.380883 0.924623i \(-0.375620\pi\)
0.380883 + 0.924623i \(0.375620\pi\)
\(374\) 4.64221 1.50835i 0.240043 0.0779948i
\(375\) 1.69457 + 0.358377i 0.0875072 + 0.0185065i
\(376\) −3.55914 + 2.58586i −0.183549 + 0.133356i
\(377\) −9.39090 + 5.42184i −0.483656 + 0.279239i
\(378\) −5.51829 1.15523i −0.283830 0.0594186i
\(379\) 0.414328 + 3.94207i 0.0212826 + 0.202490i 0.999996 0.00274017i \(-0.000872223\pi\)
−0.978714 + 0.205231i \(0.934206\pi\)
\(380\) 1.14496 1.57590i 0.0587351 0.0808419i
\(381\) 2.89944 + 5.01011i 0.148543 + 0.256676i
\(382\) 4.35343 4.83498i 0.222741 0.247379i
\(383\) 24.8097 + 11.0460i 1.26771 + 0.564423i 0.926759 0.375657i \(-0.122583\pi\)
0.340955 + 0.940080i \(0.389250\pi\)
\(384\) 1.58158 0.706110i 0.0807099 0.0360335i
\(385\) −0.632667 2.97646i −0.0322437 0.151695i
\(386\) −4.49083 10.0866i −0.228577 0.513393i
\(387\) 2.96040 4.09226i 0.150486 0.208021i
\(388\) −2.18155 + 6.71413i −0.110752 + 0.340858i
\(389\) 8.00756 3.56520i 0.405999 0.180763i −0.193568 0.981087i \(-0.562006\pi\)
0.599567 + 0.800324i \(0.295339\pi\)
\(390\) −5.72733 + 6.37396i −0.290014 + 0.322758i
\(391\) 8.69923 + 1.84908i 0.439939 + 0.0935119i
\(392\) 2.36832 5.31934i 0.119618 0.268667i
\(393\) 1.57208 15.1063i 0.0793011 0.762010i
\(394\) 21.3435 + 2.24329i 1.07527 + 0.113015i
\(395\) −12.6203 9.16920i −0.634997 0.461353i
\(396\) −8.23329 1.73241i −0.413738 0.0870570i
\(397\) −14.7542 + 25.5550i −0.740490 + 1.28257i 0.211782 + 0.977317i \(0.432073\pi\)
−0.952272 + 0.305250i \(0.901260\pi\)
\(398\) −1.73968 3.01321i −0.0872021 0.151038i
\(399\) 3.48272 + 1.12766i 0.174354 + 0.0564536i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −0.313174 0.963850i −0.0156392 0.0481324i 0.942932 0.332984i \(-0.108056\pi\)
−0.958572 + 0.284852i \(0.908056\pi\)
\(402\) −2.71040 + 1.97346i −0.135182 + 0.0984275i
\(403\) 27.5049 1.50102i 1.37012 0.0747711i
\(404\) 3.78201i 0.188162i
\(405\) 8.57084 + 2.74605i 0.425888 + 0.136452i
\(406\) 1.76731 1.59129i 0.0877099 0.0789744i
\(407\) 4.66887 + 6.42615i 0.231427 + 0.318532i
\(408\) 2.75517 + 1.22330i 0.136401 + 0.0605623i
\(409\) 4.27001 + 2.46529i 0.211139 + 0.121901i 0.601840 0.798616i \(-0.294434\pi\)
−0.390702 + 0.920517i \(0.627768\pi\)
\(410\) 0.358009 0.0376282i 0.0176808 0.00185833i
\(411\) 0.0118701 + 11.5841i 0.000585508 + 0.571400i
\(412\) 1.26900 12.0737i 0.0625190 0.594828i
\(413\) 9.08513 + 8.18029i 0.447050 + 0.402526i
\(414\) −11.4133 10.2343i −0.560934 0.502989i
\(415\) −2.78405 + 13.0979i −0.136664 + 0.642951i
\(416\) 4.83927 1.02862i 0.237265 0.0504321i
\(417\) 11.1995 19.4441i 0.548441 0.952180i
\(418\) 5.19561 + 1.68816i 0.254126 + 0.0825704i
\(419\) −23.6581 7.68698i −1.15577 0.375533i −0.332458 0.943118i \(-0.607878\pi\)
−0.823315 + 0.567585i \(0.807878\pi\)
\(420\) 0.937984 1.62849i 0.0457689 0.0794621i
\(421\) 14.4470 3.07081i 0.704104 0.149662i 0.158074 0.987427i \(-0.449472\pi\)
0.546030 + 0.837765i \(0.316138\pi\)
\(422\) −2.45614 + 11.5552i −0.119563 + 0.562499i
\(423\) 9.82611 + 8.81107i 0.477762 + 0.428409i
\(424\) 3.95737 + 3.56323i 0.192187 + 0.173046i
\(425\) 0.181926 1.73091i 0.00882469 0.0839613i
\(426\) −0.0175546 17.1316i −0.000850521 0.830027i
\(427\) 2.34522 0.246493i 0.113493 0.0119286i
\(428\) −1.10421 0.637517i −0.0533741 0.0308156i
\(429\) −21.9646 9.75231i −1.06046 0.470846i
\(430\) 0.989595 + 1.36206i 0.0477225 + 0.0656844i
\(431\) 13.4771 12.1349i 0.649171 0.584517i −0.277345 0.960770i \(-0.589455\pi\)
0.926517 + 0.376254i \(0.122788\pi\)
\(432\) −3.06713 4.19437i −0.147567 0.201802i
\(433\) 8.16389i 0.392331i −0.980571 0.196166i \(-0.937151\pi\)
0.980571 0.196166i \(-0.0628490\pi\)
\(434\) −5.83188 + 1.57615i −0.279939 + 0.0756576i
\(435\) −3.06900 + 2.23456i −0.147147 + 0.107139i
\(436\) −3.02851 9.32081i −0.145039 0.446386i
\(437\) 6.66037 + 7.39709i 0.318609 + 0.353851i
\(438\) 22.2227 + 7.19543i 1.06184 + 0.343811i
\(439\) −2.29185 3.96959i −0.109384 0.189458i 0.806137 0.591729i \(-0.201554\pi\)
−0.915521 + 0.402271i \(0.868221\pi\)
\(440\) 1.40226 2.42879i 0.0668503 0.115788i
\(441\) −17.0939 3.59682i −0.813995 0.171277i
\(442\) 6.96614 + 5.06119i 0.331345 + 0.240736i
\(443\) −4.47518 0.470360i −0.212622 0.0223475i −0.00238159 0.999997i \(-0.500758\pi\)
−0.210241 + 0.977650i \(0.567425\pi\)
\(444\) −0.507778 + 4.87927i −0.0240981 + 0.231560i
\(445\) −2.76211 + 6.20379i −0.130936 + 0.294088i
\(446\) −22.2032 4.71943i −1.05135 0.223471i
\(447\) 18.6338 20.7376i 0.881349 0.980857i
\(448\) −0.991212 + 0.441316i −0.0468304 + 0.0208502i
\(449\) 0.686178 2.11184i 0.0323827 0.0996638i −0.933559 0.358424i \(-0.883314\pi\)
0.965941 + 0.258761i \(0.0833141\pi\)
\(450\) −1.75838 + 2.43066i −0.0828907 + 0.114582i
\(451\) 0.410631 + 0.922293i 0.0193359 + 0.0434291i
\(452\) −2.67057 12.5640i −0.125613 0.590963i
\(453\) 14.4452 6.44916i 0.678694 0.303008i
\(454\) 13.7236 + 6.11016i 0.644083 + 0.286764i
\(455\) 3.59189 3.98919i 0.168390 0.187016i
\(456\) 1.68994 + 2.92015i 0.0791386 + 0.136748i
\(457\) −9.91273 + 13.6437i −0.463698 + 0.638225i −0.975270 0.221015i \(-0.929063\pi\)
0.511573 + 0.859240i \(0.329063\pi\)
\(458\) 2.24805 + 21.3888i 0.105045 + 0.999434i
\(459\) 1.85307 8.85171i 0.0864938 0.413162i
\(460\) 4.42535 2.55498i 0.206333 0.119126i
\(461\) 6.56002 4.76613i 0.305531 0.221981i −0.424446 0.905453i \(-0.639531\pi\)
0.729976 + 0.683472i \(0.239531\pi\)
\(462\) 5.15651 + 1.09053i 0.239902 + 0.0507359i
\(463\) 35.9129 11.6688i 1.66902 0.542296i 0.686284 0.727334i \(-0.259241\pi\)
0.982731 + 0.185038i \(0.0592407\pi\)
\(464\) 2.19180 0.101752
\(465\) 9.52007 1.53891i 0.441483 0.0713654i
\(466\) −16.5364 −0.766032
\(467\) −15.8957 + 5.16483i −0.735566 + 0.239000i −0.652759 0.757566i \(-0.726388\pi\)
−0.0828070 + 0.996566i \(0.526388\pi\)
\(468\) −6.06461 13.5466i −0.280337 0.626190i
\(469\) 1.69915 1.23451i 0.0784596 0.0570042i
\(470\) −3.80994 + 2.19967i −0.175739 + 0.101463i
\(471\) −29.2127 + 3.10065i −1.34605 + 0.142870i
\(472\) 1.17776 + 11.2056i 0.0542107 + 0.515780i
\(473\) −2.77535 + 3.81993i −0.127611 + 0.175641i
\(474\) 23.3855 13.5336i 1.07413 0.621619i
\(475\) 1.30341 1.44758i 0.0598046 0.0664197i
\(476\) −1.72515 0.768085i −0.0790720 0.0352051i
\(477\) 7.95938 13.8515i 0.364435 0.634218i
\(478\) −0.341784 1.60797i −0.0156329 0.0735468i
\(479\) 7.56381 + 16.9886i 0.345599 + 0.776229i 0.999802 + 0.0199093i \(0.00633774\pi\)
−0.654203 + 0.756319i \(0.726996\pi\)
\(480\) 1.64673 0.536921i 0.0751625 0.0245070i
\(481\) −4.33003 + 13.3265i −0.197432 + 0.607635i
\(482\) 5.35263 2.38315i 0.243806 0.108549i
\(483\) 7.14312 + 6.41845i 0.325023 + 0.292050i
\(484\) −3.06613 0.651726i −0.139370 0.0296239i
\(485\) −2.87142 + 6.44931i −0.130384 + 0.292848i
\(486\) −10.3712 + 11.6378i −0.470448 + 0.527900i
\(487\) 1.00228 + 0.105344i 0.0454176 + 0.00477358i 0.127210 0.991876i \(-0.459398\pi\)
−0.0817924 + 0.996649i \(0.526064\pi\)
\(488\) 1.75829 + 1.27747i 0.0795941 + 0.0578285i
\(489\) 18.2926 16.5047i 0.827220 0.746369i
\(490\) 2.91137 5.04264i 0.131522 0.227803i
\(491\) −13.0997 22.6894i −0.591182 1.02396i −0.994074 0.108710i \(-0.965328\pi\)
0.402892 0.915248i \(-0.368005\pi\)
\(492\) −0.192066 + 0.593185i −0.00865899 + 0.0267429i
\(493\) 2.55254 + 2.83488i 0.114960 + 0.127677i
\(494\) 2.97802 + 9.16541i 0.133988 + 0.412371i
\(495\) −8.00710 2.58353i −0.359892 0.116121i
\(496\) −4.96636 2.51700i −0.222996 0.113016i
\(497\) 10.7318i 0.481388i
\(498\) −18.7776 13.6133i −0.841442 0.610027i
\(499\) −2.63585 + 2.37333i −0.117997 + 0.106245i −0.726017 0.687677i \(-0.758631\pi\)
0.608020 + 0.793922i \(0.291964\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 7.03056 15.8345i 0.314102 0.707435i
\(502\) −5.52298 3.18869i −0.246503 0.142318i
\(503\) −3.78395 + 0.397709i −0.168718 + 0.0177330i −0.188511 0.982071i \(-0.560366\pi\)
0.0197927 + 0.999804i \(0.493699\pi\)
\(504\) 1.91866 + 2.62947i 0.0854641 + 0.117126i
\(505\) 0.395327 3.76129i 0.0175918 0.167375i
\(506\) 10.6500 + 9.58931i 0.473451 + 0.426297i
\(507\) −4.15278 19.4393i −0.184432 0.863331i
\(508\) 0.694852 3.26902i 0.0308291 0.145039i
\(509\) −2.63097 + 0.559230i −0.116616 + 0.0247874i −0.265850 0.964014i \(-0.585653\pi\)
0.149234 + 0.988802i \(0.452319\pi\)
\(510\) 2.61220 + 1.50459i 0.115670 + 0.0666244i
\(511\) −13.9165 4.52173i −0.615628 0.200030i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 7.50102 6.79581i 0.331178 0.300043i
\(514\) 21.0034 4.46442i 0.926422 0.196917i
\(515\) 2.52409 11.8749i 0.111225 0.523271i
\(516\) −2.85173 + 0.609209i −0.125541 + 0.0268190i
\(517\) −9.16896 8.25577i −0.403250 0.363088i
\(518\) 0.321222 3.05622i 0.0141137 0.134283i
\(519\) −27.4992 + 0.0281782i −1.20708 + 0.00123689i
\(520\) 4.92028 0.517142i 0.215768 0.0226782i
\(521\) −6.74136 3.89213i −0.295345 0.170517i 0.345005 0.938601i \(-0.387877\pi\)
−0.640350 + 0.768084i \(0.721211\pi\)
\(522\) −1.38028 6.42891i −0.0604133 0.281386i
\(523\) −18.3331 25.2333i −0.801650 1.10338i −0.992559 0.121768i \(-0.961143\pi\)
0.190909 0.981608i \(-0.438857\pi\)
\(524\) −6.51642 + 5.86741i −0.284671 + 0.256319i
\(525\) 1.10307 1.52152i 0.0481419 0.0664046i
\(526\) 21.7570i 0.948652i
\(527\) −2.52825 9.35474i −0.110132 0.407499i
\(528\) 2.85924 + 3.92694i 0.124432 + 0.170898i
\(529\) 0.961551 + 2.95935i 0.0418066 + 0.128667i
\(530\) 3.56323 + 3.95737i 0.154777 + 0.171897i
\(531\) 32.1261 10.5113i 1.39416 0.456150i
\(532\) −1.05676 1.83037i −0.0458164 0.0793564i
\(533\) −0.890480 + 1.54236i −0.0385710 + 0.0668069i
\(534\) −7.87939 8.73293i −0.340974 0.377911i
\(535\) −1.03152 0.749446i −0.0445967 0.0324014i
\(536\) 1.92510 + 0.202336i 0.0831515 + 0.00873958i
\(537\) 45.1762 + 4.70141i 1.94950 + 0.202881i
\(538\) −9.14394 + 20.5376i −0.394223 + 0.885440i
\(539\) 15.9732 + 3.39520i 0.688013 + 0.146242i
\(540\) −2.61190 4.49199i −0.112398 0.193305i
\(541\) −0.457481 + 0.203684i −0.0196686 + 0.00875704i −0.416547 0.909114i \(-0.636760\pi\)
0.396879 + 0.917871i \(0.370093\pi\)
\(542\) −8.19664 + 25.2267i −0.352076 + 1.08358i
\(543\) 5.07470 + 15.5640i 0.217776 + 0.667917i
\(544\) −0.707901 1.58997i −0.0303510 0.0681695i
\(545\) −2.03763 9.58631i −0.0872826 0.410632i
\(546\) 3.79039 + 8.48993i 0.162214 + 0.363335i
\(547\) −18.9537 8.43872i −0.810400 0.360814i −0.0406620 0.999173i \(-0.512947\pi\)
−0.769738 + 0.638359i \(0.779613\pi\)
\(548\) 4.47519 4.97020i 0.191171 0.212316i
\(549\) 2.63975 5.96183i 0.112662 0.254445i
\(550\) 1.64846 2.26891i 0.0702905 0.0967466i
\(551\) 0.446279 + 4.24606i 0.0190121 + 0.180888i
\(552\) 0.934169 + 8.80126i 0.0397609 + 0.374607i
\(553\) −14.6582 + 8.46290i −0.623329 + 0.359879i
\(554\) 14.3914 10.4560i 0.611433 0.444232i
\(555\) −1.01502 + 4.79947i −0.0430852 + 0.203726i
\(556\) −12.3210 + 4.00333i −0.522526 + 0.169779i
\(557\) −4.13618 −0.175256 −0.0876278 0.996153i \(-0.527929\pi\)
−0.0876278 + 0.996153i \(0.527929\pi\)
\(558\) −4.25520 + 16.1522i −0.180137 + 0.683777i
\(559\) −8.32940 −0.352296
\(560\) −1.03191 + 0.335289i −0.0436063 + 0.0141685i
\(561\) −1.74928 + 8.27139i −0.0738547 + 0.349218i
\(562\) 0.463880 0.337029i 0.0195676 0.0142167i
\(563\) 17.7173 10.2291i 0.746695 0.431104i −0.0778036 0.996969i \(-0.524791\pi\)
0.824498 + 0.565864i \(0.191457\pi\)
\(564\) −0.804259 7.57731i −0.0338654 0.319062i
\(565\) −1.34264 12.7744i −0.0564853 0.537422i
\(566\) 16.4149 22.5931i 0.689968 0.949660i
\(567\) 6.50436 7.28364i 0.273158 0.305884i
\(568\) −6.61831 + 7.35038i −0.277698 + 0.308415i
\(569\) −1.72660 0.768730i −0.0723827 0.0322268i 0.370226 0.928942i \(-0.379280\pi\)
−0.442609 + 0.896715i \(0.645947\pi\)
\(570\) 1.37544 + 3.08080i 0.0576110 + 0.129040i
\(571\) 7.23443 + 34.0353i 0.302752 + 1.42433i 0.821891 + 0.569645i \(0.192919\pi\)
−0.519139 + 0.854690i \(0.673747\pi\)
\(572\) 5.64349 + 12.6755i 0.235966 + 0.529989i
\(573\) 3.49326 + 10.7138i 0.145933 + 0.447575i
\(574\) 0.120697 0.371468i 0.00503781 0.0155048i
\(575\) 4.66818 2.07841i 0.194676 0.0866755i
\(576\) −0.307470 + 2.98420i −0.0128113 + 0.124342i
\(577\) 35.3759 + 7.51938i 1.47272 + 0.313036i 0.873214 0.487336i \(-0.162031\pi\)
0.599503 + 0.800372i \(0.295365\pi\)
\(578\) −5.68246 + 12.7630i −0.236359 + 0.530872i
\(579\) 19.0211 + 1.97949i 0.790489 + 0.0822649i
\(580\) 2.17980 + 0.229106i 0.0905111 + 0.00951310i
\(581\) 11.7542 + 8.53991i 0.487645 + 0.354295i
\(582\) −8.19122 9.07855i −0.339537 0.376318i
\(583\) −7.46728 + 12.9337i −0.309263 + 0.535660i
\(584\) −6.74304 11.6793i −0.279029 0.483292i
\(585\) −4.61539 14.1063i −0.190823 0.583223i
\(586\) −9.94668 11.0469i −0.410893 0.456343i
\(587\) 4.48366 + 13.7993i 0.185060 + 0.569557i 0.999949 0.0100599i \(-0.00320222\pi\)
−0.814889 + 0.579617i \(0.803202\pi\)
\(588\) 5.93634 + 8.15308i 0.244810 + 0.336227i
\(589\) 3.86483 10.1336i 0.159247 0.417546i
\(590\) 11.2673i 0.463869i
\(591\) −21.8181 + 30.0949i −0.897478 + 1.23794i
\(592\) 2.10478 1.89515i 0.0865060 0.0778904i
\(593\) 20.9768 + 28.8721i 0.861415 + 1.18564i 0.981230 + 0.192840i \(0.0617698\pi\)
−0.119815 + 0.992796i \(0.538230\pi\)
\(594\) 9.71773 10.8596i 0.398723 0.445574i
\(595\) −1.63541 0.944204i −0.0670453 0.0387086i
\(596\) −16.0081 + 1.68252i −0.655717 + 0.0689186i
\(597\) 6.02641 0.00617522i 0.246645 0.000252735i
\(598\) −2.64257 + 25.1424i −0.108063 + 1.02815i
\(599\) 25.2394 + 22.7256i 1.03125 + 0.928545i 0.997484 0.0708851i \(-0.0225824\pi\)
0.0337688 + 0.999430i \(0.489249\pi\)
\(600\) 1.69383 0.361849i 0.0691504 0.0147724i
\(601\) 5.94082 27.9493i 0.242331 1.14008i −0.673711 0.738995i \(-0.735301\pi\)
0.916042 0.401083i \(-0.131366\pi\)
\(602\) 1.78682 0.379799i 0.0728252 0.0154795i
\(603\) −0.618842 5.77403i −0.0252012 0.235137i
\(604\) −8.68634 2.82236i −0.353442 0.114840i
\(605\) −2.98121 0.968654i −0.121203 0.0393814i
\(606\) 5.67636 + 3.26950i 0.230586 + 0.132814i
\(607\) 13.1165 2.78800i 0.532383 0.113161i 0.0661266 0.997811i \(-0.478936\pi\)
0.466256 + 0.884650i \(0.345603\pi\)
\(608\) 0.404995 1.90535i 0.0164247 0.0772722i
\(609\) 0.860530 + 4.02818i 0.0348704 + 0.163230i
\(610\) 1.61513 + 1.45427i 0.0653946 + 0.0588815i
\(611\) 2.27508 21.6459i 0.0920399 0.875701i
\(612\) −4.21784 + 3.07767i −0.170496 + 0.124407i
\(613\) −26.2377 + 2.75769i −1.05973 + 0.111382i −0.618322 0.785925i \(-0.712187\pi\)
−0.441407 + 0.897307i \(0.645521\pi\)
\(614\) 6.91027 + 3.98964i 0.278876 + 0.161009i
\(615\) −0.253018 + 0.569859i −0.0102027 + 0.0229789i
\(616\) −1.78861 2.46181i −0.0720650 0.0991890i
\(617\) −25.4085 + 22.8780i −1.02291 + 0.921032i −0.996904 0.0786300i \(-0.974945\pi\)
−0.0260056 + 0.999662i \(0.508279\pi\)
\(618\) 17.0242 + 12.3422i 0.684814 + 0.496475i
\(619\) 14.6854i 0.590258i 0.955457 + 0.295129i \(0.0953626\pi\)
−0.955457 + 0.295129i \(0.904637\pi\)
\(620\) −4.67606 3.02233i −0.187795 0.121380i
\(621\) 25.2272 8.28264i 1.01233 0.332371i
\(622\) 0.503959 + 1.55103i 0.0202069 + 0.0621905i
\(623\) 4.93032 + 5.47567i 0.197529 + 0.219378i
\(624\) −2.63965 + 8.15242i −0.105670 + 0.326358i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 5.97410 10.3474i 0.238773 0.413567i
\(627\) −7.02527 + 6.33863i −0.280562 + 0.253140i
\(628\) 13.7215 + 9.96926i 0.547548 + 0.397817i
\(629\) 4.90238 + 0.515261i 0.195471 + 0.0205448i
\(630\) 1.63330 + 2.81562i 0.0650722 + 0.112177i
\(631\) −19.0814 + 42.8575i −0.759618 + 1.70613i −0.0529380 + 0.998598i \(0.516859\pi\)
−0.706680 + 0.707533i \(0.749808\pi\)
\(632\) −15.2587 3.24333i −0.606958 0.129013i
\(633\) −15.2198 13.6757i −0.604931 0.543561i
\(634\) −14.4998 + 6.45574i −0.575862 + 0.256390i
\(635\) 1.03275 3.17848i 0.0409835 0.126134i
\(636\) −8.76910 + 2.85919i −0.347718 + 0.113374i
\(637\) 11.7170 + 26.3168i 0.464244 + 1.04271i
\(638\) 1.27803 + 6.01265i 0.0505976 + 0.238043i
\(639\) 25.7277 + 14.7837i 1.01777 + 0.584833i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 19.4832 21.6383i 0.769540 0.854661i −0.223221 0.974768i \(-0.571657\pi\)
0.992761 + 0.120107i \(0.0383237\pi\)
\(642\) 1.91142 1.10617i 0.0754377 0.0436571i
\(643\) −20.0333 + 27.5735i −0.790037 + 1.08739i 0.204066 + 0.978957i \(0.434584\pi\)
−0.994103 + 0.108436i \(0.965416\pi\)
\(644\) −0.579546 5.51402i −0.0228373 0.217283i
\(645\) −2.89979 + 0.307785i −0.114179 + 0.0121190i
\(646\) 2.93603 1.69512i 0.115517 0.0666935i
\(647\) −16.4963 + 11.9853i −0.648537 + 0.471189i −0.862772 0.505593i \(-0.831274\pi\)
0.214236 + 0.976782i \(0.431274\pi\)
\(648\) 8.94677 0.977435i 0.351462 0.0383973i
\(649\) −30.0530 + 9.76480i −1.17968 + 0.383302i
\(650\) 4.94738 0.194052
\(651\) 2.67597 10.1156i 0.104880 0.396460i
\(652\) −14.2247 −0.557082
\(653\) 11.2157 3.64421i 0.438906 0.142609i −0.0812250 0.996696i \(-0.525883\pi\)
0.520131 + 0.854087i \(0.325883\pi\)
\(654\) 16.6076 + 3.51227i 0.649408 + 0.137341i
\(655\) −7.09403 + 5.15411i −0.277187 + 0.201388i
\(656\) 0.311752 0.179990i 0.0121719 0.00702744i
\(657\) −30.0108 + 27.1334i −1.17083 + 1.05858i
\(658\) 0.498951 + 4.74721i 0.0194512 + 0.185065i
\(659\) −11.4444 + 15.7518i −0.445810 + 0.613604i −0.971491 0.237077i \(-0.923810\pi\)
0.525681 + 0.850682i \(0.323810\pi\)
\(660\) 2.43310 + 4.20430i 0.0947083 + 0.163652i
\(661\) 23.5186 26.1201i 0.914769 1.01595i −0.0850395 0.996378i \(-0.527102\pi\)
0.999808 0.0195761i \(-0.00623167\pi\)
\(662\) −6.07484 2.70469i −0.236105 0.105121i
\(663\) −13.6184 + 6.08004i −0.528896 + 0.236129i
\(664\) 2.78405 + 13.0979i 0.108042 + 0.508298i
\(665\) −0.859648 1.93080i −0.0333357 0.0748732i
\(666\) −6.88427 4.98019i −0.266760 0.192978i
\(667\) −3.46100 + 10.6519i −0.134010 + 0.412441i
\(668\) −9.13791 + 4.06846i −0.353556 + 0.157413i
\(669\) 26.2777 29.2445i 1.01595 1.13066i
\(670\) 1.89340 + 0.402455i 0.0731485 + 0.0155482i
\(671\) −2.47917 + 5.56830i −0.0957073 + 0.214962i
\(672\) 0.194526 1.86921i 0.00750399 0.0721063i
\(673\) 32.8783 + 3.45564i 1.26736 + 0.133205i 0.714244 0.699897i \(-0.246771\pi\)
0.553119 + 0.833102i \(0.313437\pi\)
\(674\) 4.56717 + 3.31825i 0.175921 + 0.127814i
\(675\) −2.12805 4.74040i −0.0819086 0.182458i
\(676\) −5.73827 + 9.93898i −0.220703 + 0.382268i
\(677\) 24.1819 + 41.8844i 0.929388 + 1.60975i 0.784348 + 0.620321i \(0.212998\pi\)
0.145040 + 0.989426i \(0.453669\pi\)
\(678\) 21.1659 + 6.85324i 0.812871 + 0.263197i
\(679\) 5.12544 + 5.69237i 0.196696 + 0.218453i
\(680\) −0.537826 1.65526i −0.0206247 0.0634762i
\(681\) −21.0346 + 15.3155i −0.806047 + 0.586890i
\(682\) 4.00887 15.0916i 0.153508 0.577886i
\(683\) 33.7863i 1.29280i −0.763000 0.646399i \(-0.776274\pi\)
0.763000 0.646399i \(-0.223726\pi\)
\(684\) −5.84374 + 0.0119761i −0.223441 + 0.000457917i
\(685\) 4.97020 4.47519i 0.189902 0.170988i
\(686\) −8.17779 11.2558i −0.312230 0.429747i
\(687\) −34.0456 15.1163i −1.29892 0.576723i
\(688\) 1.45804 + 0.841800i 0.0555872 + 0.0320933i
\(689\) −26.2013 + 2.75387i −0.998189 + 0.104914i
\(690\) 0.00906924 + 8.85070i 0.000345260 + 0.336940i
\(691\) 3.59410 34.1955i 0.136726 1.30086i −0.683977 0.729504i \(-0.739751\pi\)
0.820703 0.571356i \(-0.193582\pi\)
\(692\) 11.7987 + 10.6236i 0.448519 + 0.403848i
\(693\) −6.09450 + 6.79658i −0.231511 + 0.258181i
\(694\) 0.425069 1.99979i 0.0161354 0.0759110i
\(695\) −12.6720 + 2.69351i −0.480675 + 0.102171i
\(696\) −1.89479 + 3.28965i −0.0718218 + 0.124694i
\(697\) 0.595861 + 0.193607i 0.0225698 + 0.00733338i
\(698\) −0.106316 0.0345443i −0.00402414 0.00130752i
\(699\) 14.2955 24.8192i 0.540705 0.938748i
\(700\) −1.06131 + 0.225588i −0.0401136 + 0.00852642i
\(701\) −2.72702 + 12.8296i −0.102998 + 0.484568i 0.896167 + 0.443717i \(0.146340\pi\)
−0.999165 + 0.0408516i \(0.986993\pi\)
\(702\) 25.5746 + 2.60854i 0.965253 + 0.0984531i
\(703\) 4.09994 + 3.69160i 0.154632 + 0.139231i
\(704\) 0.293153 2.78916i 0.0110486 0.105121i
\(705\) −0.00780802 7.61987i −0.000294067 0.286981i
\(706\) −22.9399 + 2.41108i −0.863355 + 0.0907423i
\(707\) −3.55377 2.05177i −0.133653 0.0771648i
\(708\) −17.8365 7.91944i −0.670337 0.297631i
\(709\) −19.1273 26.3264i −0.718340 0.988710i −0.999577 0.0290721i \(-0.990745\pi\)
0.281237 0.959638i \(-0.409255\pi\)
\(710\) −7.35038 + 6.61831i −0.275855 + 0.248381i
\(711\) 0.0959084 + 46.7986i 0.00359685 + 1.75509i
\(712\) 6.79090i 0.254500i
\(713\) 20.0744 20.1613i 0.751794 0.755047i
\(714\) 2.64418 1.92525i 0.0989558 0.0720507i
\(715\) 4.28763 + 13.1960i 0.160348 + 0.493501i
\(716\) −17.5469 19.4878i −0.655757 0.728292i
\(717\) 2.70885 + 0.877090i 0.101164 + 0.0327555i
\(718\) 8.01736 + 13.8865i 0.299205 + 0.518239i
\(719\) 7.06188 12.2315i 0.263364 0.456159i −0.703770 0.710428i \(-0.748501\pi\)
0.967134 + 0.254269i \(0.0818348\pi\)
\(720\) −0.617720 + 2.93571i −0.0230211 + 0.109408i
\(721\) −10.6566 7.74250i −0.396874 0.288346i
\(722\) −15.1223 1.58942i −0.562794 0.0591521i
\(723\) −1.05045 + 10.0939i −0.0390668 + 0.375396i
\(724\) 3.84427 8.63437i 0.142871 0.320894i
\(725\) 2.14391 + 0.455702i 0.0796227 + 0.0169243i
\(726\) 3.62880 4.03851i 0.134677 0.149883i
\(727\) −26.7278 + 11.9000i −0.991279 + 0.441346i −0.837309 0.546730i \(-0.815872\pi\)
−0.153970 + 0.988076i \(0.549206\pi\)
\(728\) 1.65880 5.10526i 0.0614792 0.189214i
\(729\) −8.50118 25.6267i −0.314858 0.949139i
\(730\) −5.48528 12.3201i −0.203019 0.455989i
\(731\) 0.609224 + 2.86617i 0.0225330 + 0.106009i
\(732\) −3.43736 + 1.53464i −0.127049 + 0.0567218i
\(733\) −6.10586 2.71850i −0.225525 0.100410i 0.290864 0.956765i \(-0.406057\pi\)
−0.516389 + 0.856354i \(0.672724\pi\)
\(734\) 5.86161 6.50998i 0.216356 0.240288i
\(735\) 5.05159 + 8.72894i 0.186331 + 0.321972i
\(736\) 3.00356 4.13404i 0.110713 0.152383i
\(737\) 0.567456 + 5.39898i 0.0209025 + 0.198874i
\(738\) −0.724265 0.801070i −0.0266606 0.0294878i
\(739\) 20.4177 11.7881i 0.751076 0.433634i −0.0750067 0.997183i \(-0.523898\pi\)
0.826082 + 0.563549i \(0.190564\pi\)
\(740\) 2.29135 1.66476i 0.0842317 0.0611979i
\(741\) −16.3307 3.45371i −0.599923 0.126875i
\(742\) 5.49511 1.78547i 0.201732 0.0655466i
\(743\) 14.7228 0.540127 0.270064 0.962842i \(-0.412955\pi\)
0.270064 + 0.962842i \(0.412955\pi\)
\(744\) 8.07108 5.27803i 0.295900 0.193502i
\(745\) −16.0963 −0.589721
\(746\) 13.9921 4.54630i 0.512287 0.166452i
\(747\) 36.6650 16.4144i 1.34150 0.600573i
\(748\) 3.94890 2.86905i 0.144386 0.104903i
\(749\) −1.19809 + 0.691717i −0.0437772 + 0.0252748i
\(750\) 1.72238 0.182814i 0.0628923 0.00667541i
\(751\) 4.63143 + 44.0651i 0.169003 + 1.60796i 0.669901 + 0.742451i \(0.266337\pi\)
−0.500897 + 0.865507i \(0.666997\pi\)
\(752\) −2.58586 + 3.55914i −0.0942968 + 0.129788i
\(753\) 9.56042 5.53278i 0.348401 0.201626i
\(754\) −7.25584 + 8.05843i −0.264242 + 0.293471i
\(755\) −8.34374 3.71487i −0.303660 0.135198i
\(756\) −5.60519 + 0.606556i −0.203859 + 0.0220602i
\(757\) −8.60153 40.4670i −0.312628 1.47080i −0.801264 0.598311i \(-0.795839\pi\)
0.488636 0.872488i \(-0.337495\pi\)
\(758\) 1.61222 + 3.62110i 0.0585583 + 0.131524i
\(759\) −23.5993 + 7.69462i −0.856600 + 0.279297i
\(760\) 0.601940 1.85258i 0.0218346 0.0672001i
\(761\) 29.3063 13.0480i 1.06235 0.472990i 0.200262 0.979742i \(-0.435821\pi\)
0.862092 + 0.506752i \(0.169154\pi\)
\(762\) 4.30574 + 3.86893i 0.155981 + 0.140156i
\(763\) −10.4013 2.21087i −0.376553 0.0800388i
\(764\) 2.64627 5.94362i 0.0957387 0.215033i
\(765\) −4.51644 + 2.61992i −0.163292 + 0.0947235i
\(766\) 27.0088 + 2.83874i 0.975867 + 0.102568i
\(767\) −45.0977 32.7654i −1.62838 1.18309i
\(768\) 1.28598 1.16029i 0.0464037 0.0418682i
\(769\) −26.7784 + 46.3816i −0.965654 + 1.67256i −0.257807 + 0.966196i \(0.583000\pi\)
−0.707847 + 0.706366i \(0.750333\pi\)
\(770\) −1.52148 2.63528i −0.0548303 0.0949689i
\(771\) −11.4566 + 35.3832i −0.412600 + 1.27430i
\(772\) −7.38796 8.20516i −0.265899 0.295310i
\(773\) −6.87899 21.1714i −0.247420 0.761481i −0.995229 0.09756