Properties

Label 507.2.t.b.4.6
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.772377 - 0.0311257i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.39792 - 0.112852i) q^{4} +(3.22103 + 1.22158i) q^{5} +(0.244786 - 0.733223i) q^{6} +(-1.25005 - 2.93398i) q^{7} +(2.61094 + 0.317026i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-0.772377 - 0.0311257i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.39792 - 0.112852i) q^{4} +(3.22103 + 1.22158i) q^{5} +(0.244786 - 0.733223i) q^{6} +(-1.25005 - 2.93398i) q^{7} +(2.61094 + 0.317026i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-2.44983 - 1.04377i) q^{10} +(-1.20589 - 1.90697i) q^{11} +(0.497321 - 1.31133i) q^{12} +(-0.485230 - 3.57275i) q^{13} +(0.874189 + 2.30505i) q^{14} +(-2.06949 + 2.75400i) q^{15} +(0.761842 + 0.123811i) q^{16} +(4.45002 - 1.89598i) q^{17} +(0.636170 + 0.439116i) q^{18} +(-0.107303 + 0.0619515i) q^{19} +(-4.36488 - 2.07116i) q^{20} +(3.16592 - 0.384413i) q^{21} +(0.872049 + 1.51043i) q^{22} +(-1.94957 + 3.37676i) q^{23} +(-1.03092 + 2.41966i) q^{24} +(5.14025 + 4.55386i) q^{25} +(0.263576 + 2.77461i) q^{26} +(0.748511 - 0.663123i) q^{27} +(1.41636 + 4.24253i) q^{28} +(0.346670 - 8.60253i) q^{29} +(1.68415 - 2.06271i) q^{30} +(2.80297 + 3.16390i) q^{31} +(-5.73851 - 1.17152i) q^{32} +(2.16718 - 0.627731i) q^{33} +(-3.49611 + 1.32590i) q^{34} +(-0.442377 - 10.9775i) q^{35} +(1.12119 + 0.842520i) q^{36} +(6.65353 - 1.35833i) q^{37} +(0.0848067 - 0.0445100i) q^{38} +(3.56669 + 0.527930i) q^{39} +(8.02266 + 4.21062i) q^{40} +(8.89235 + 2.57570i) q^{41} +(-2.45725 + 0.198370i) q^{42} +(-0.0652020 + 0.319381i) q^{43} +(1.47053 + 2.80187i) q^{44} +(-2.06949 - 2.75400i) q^{45} +(1.61091 - 2.54745i) q^{46} +(3.41577 - 2.35773i) q^{47} +(-0.330881 + 0.697316i) q^{48} +(-2.19653 + 2.28683i) q^{49} +(-3.82847 - 3.67729i) q^{50} +(0.583046 + 4.80182i) q^{51} +(0.275121 + 5.04917i) q^{52} +(1.17154 - 9.64848i) q^{53} +(-0.598773 + 0.488883i) q^{54} +(-1.55471 - 7.61550i) q^{55} +(-2.33366 - 8.05675i) q^{56} +(-0.0296519 - 0.120303i) q^{57} +(-0.535520 + 6.63361i) q^{58} +(0.526825 + 3.24168i) q^{59} +(3.20377 - 3.61631i) q^{60} +(2.23409 - 1.67881i) q^{61} +(-2.06647 - 2.53097i) q^{62} +(-0.511580 + 3.14788i) q^{63} +(2.89701 + 0.714049i) q^{64} +(2.80145 - 12.1007i) q^{65} +(-1.69342 + 0.417390i) q^{66} +(-0.395313 - 4.89683i) q^{67} +(-6.43472 + 2.14823i) q^{68} +(-2.70104 - 2.81208i) q^{69} +8.49252i q^{70} +(-7.65072 + 7.34862i) q^{71} +(-2.03730 - 1.66341i) q^{72} +(-7.73558 + 14.7389i) q^{73} +(-5.18131 + 0.842046i) q^{74} +(-5.80418 + 3.67034i) q^{75} +(0.156992 - 0.0744937i) q^{76} +(-4.08757 + 5.92187i) q^{77} +(-2.73840 - 0.518777i) q^{78} +(4.19097 + 6.07167i) q^{79} +(2.30267 + 1.32945i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-6.78808 - 2.26619i) q^{82} +(1.34732 - 5.46628i) q^{83} +(-4.46908 + 0.180098i) q^{84} +(16.6497 - 0.670961i) q^{85} +(0.0603015 - 0.244653i) q^{86} +(8.16644 + 2.72636i) q^{87} +(-2.54396 - 5.36128i) q^{88} +(-11.0689 - 6.39065i) q^{89} +(1.51271 + 2.19154i) q^{90} +(-9.87581 + 5.88978i) q^{91} +(3.10642 - 4.50042i) q^{92} +(-3.81882 + 1.81205i) q^{93} +(-2.71165 + 1.71474i) q^{94} +(-0.421305 + 0.0684688i) q^{95} +(2.72182 - 5.18600i) q^{96} +(-6.35899 - 5.19196i) q^{97} +(1.76773 - 1.69792i) q^{98} +2.25626i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.772377 0.0311257i −0.546153 0.0220092i −0.234344 0.972154i \(-0.575294\pi\)
−0.311810 + 0.950145i \(0.600935\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.39792 0.112852i −0.698958 0.0564258i
\(5\) 3.22103 + 1.22158i 1.44049 + 0.546306i 0.946369 0.323088i \(-0.104721\pi\)
0.494121 + 0.869393i \(0.335490\pi\)
\(6\) 0.244786 0.733223i 0.0999333 0.299337i
\(7\) −1.25005 2.93398i −0.472475 1.10894i −0.970353 0.241692i \(-0.922298\pi\)
0.497878 0.867247i \(-0.334113\pi\)
\(8\) 2.61094 + 0.317026i 0.923108 + 0.112086i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −2.44983 1.04377i −0.774704 0.330071i
\(11\) −1.20589 1.90697i −0.363591 0.574972i 0.612999 0.790084i \(-0.289963\pi\)
−0.976590 + 0.215111i \(0.930989\pi\)
\(12\) 0.497321 1.31133i 0.143564 0.378548i
\(13\) −0.485230 3.57275i −0.134579 0.990903i
\(14\) 0.874189 + 2.30505i 0.233637 + 0.616050i
\(15\) −2.06949 + 2.75400i −0.534341 + 0.711079i
\(16\) 0.761842 + 0.123811i 0.190460 + 0.0309528i
\(17\) 4.45002 1.89598i 1.07929 0.459842i 0.222194 0.975002i \(-0.428678\pi\)
0.857094 + 0.515161i \(0.172268\pi\)
\(18\) 0.636170 + 0.439116i 0.149947 + 0.103501i
\(19\) −0.107303 + 0.0619515i −0.0246170 + 0.0142126i −0.512258 0.858832i \(-0.671191\pi\)
0.487641 + 0.873044i \(0.337858\pi\)
\(20\) −4.36488 2.07116i −0.976017 0.463126i
\(21\) 3.16592 0.384413i 0.690861 0.0838858i
\(22\) 0.872049 + 1.51043i 0.185921 + 0.322025i
\(23\) −1.94957 + 3.37676i −0.406514 + 0.704104i −0.994496 0.104770i \(-0.966589\pi\)
0.587982 + 0.808874i \(0.299923\pi\)
\(24\) −1.03092 + 2.41966i −0.210435 + 0.493910i
\(25\) 5.14025 + 4.55386i 1.02805 + 0.910773i
\(26\) 0.263576 + 2.77461i 0.0516915 + 0.544147i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 1.41636 + 4.24253i 0.267668 + 0.801762i
\(29\) 0.346670 8.60253i 0.0643750 1.59745i −0.568160 0.822918i \(-0.692344\pi\)
0.632535 0.774532i \(-0.282015\pi\)
\(30\) 1.68415 2.06271i 0.307482 0.376597i
\(31\) 2.80297 + 3.16390i 0.503429 + 0.568254i 0.944203 0.329364i \(-0.106834\pi\)
−0.440774 + 0.897618i \(0.645296\pi\)
\(32\) −5.73851 1.17152i −1.01443 0.207098i
\(33\) 2.16718 0.627731i 0.377257 0.109274i
\(34\) −3.49611 + 1.32590i −0.599577 + 0.227390i
\(35\) −0.442377 10.9775i −0.0747754 1.85553i
\(36\) 1.12119 + 0.842520i 0.186865 + 0.140420i
\(37\) 6.65353 1.35833i 1.09383 0.223308i 0.380954 0.924594i \(-0.375596\pi\)
0.712880 + 0.701286i \(0.247391\pi\)
\(38\) 0.0848067 0.0445100i 0.0137575 0.00722048i
\(39\) 3.56669 + 0.527930i 0.571128 + 0.0845364i
\(40\) 8.02266 + 4.21062i 1.26849 + 0.665757i
\(41\) 8.89235 + 2.57570i 1.38875 + 0.402257i 0.886606 0.462526i \(-0.153057\pi\)
0.502146 + 0.864783i \(0.332544\pi\)
\(42\) −2.45725 + 0.198370i −0.379162 + 0.0306092i
\(43\) −0.0652020 + 0.319381i −0.00994322 + 0.0487051i −0.984460 0.175611i \(-0.943810\pi\)
0.974516 + 0.224316i \(0.0720149\pi\)
\(44\) 1.47053 + 2.80187i 0.221691 + 0.422398i
\(45\) −2.06949 2.75400i −0.308502 0.410542i
\(46\) 1.61091 2.54745i 0.237516 0.375601i
\(47\) 3.41577 2.35773i 0.498241 0.343911i −0.292293 0.956329i \(-0.594418\pi\)
0.790534 + 0.612418i \(0.209803\pi\)
\(48\) −0.330881 + 0.697316i −0.0477585 + 0.100649i
\(49\) −2.19653 + 2.28683i −0.313790 + 0.326690i
\(50\) −3.82847 3.67729i −0.541427 0.520048i
\(51\) 0.583046 + 4.80182i 0.0816428 + 0.672389i
\(52\) 0.275121 + 5.04917i 0.0381524 + 0.700194i
\(53\) 1.17154 9.64848i 0.160923 1.32532i −0.658695 0.752410i \(-0.728891\pi\)
0.819618 0.572911i \(-0.194186\pi\)
\(54\) −0.598773 + 0.488883i −0.0814827 + 0.0665285i
\(55\) −1.55471 7.61550i −0.209638 1.02687i
\(56\) −2.33366 8.05675i −0.311849 1.07663i
\(57\) −0.0296519 0.120303i −0.00392749 0.0159345i
\(58\) −0.535520 + 6.63361i −0.0703173 + 0.871036i
\(59\) 0.526825 + 3.24168i 0.0685868 + 0.422031i 0.998524 + 0.0543130i \(0.0172969\pi\)
−0.929937 + 0.367718i \(0.880139\pi\)
\(60\) 3.20377 3.61631i 0.413605 0.466864i
\(61\) 2.23409 1.67881i 0.286046 0.214950i −0.448027 0.894020i \(-0.647873\pi\)
0.734073 + 0.679070i \(0.237617\pi\)
\(62\) −2.06647 2.53097i −0.262443 0.321434i
\(63\) −0.511580 + 3.14788i −0.0644530 + 0.396595i
\(64\) 2.89701 + 0.714049i 0.362126 + 0.0892561i
\(65\) 2.80145 12.1007i 0.347477 1.50091i
\(66\) −1.69342 + 0.417390i −0.208445 + 0.0513771i
\(67\) −0.395313 4.89683i −0.0482952 0.598243i −0.974964 0.222364i \(-0.928623\pi\)
0.926669 0.375879i \(-0.122659\pi\)
\(68\) −6.43472 + 2.14823i −0.780324 + 0.260511i
\(69\) −2.70104 2.81208i −0.325167 0.338534i
\(70\) 8.49252i 1.01505i
\(71\) −7.65072 + 7.34862i −0.907974 + 0.872121i −0.992242 0.124322i \(-0.960324\pi\)
0.0842679 + 0.996443i \(0.473145\pi\)
\(72\) −2.03730 1.66341i −0.240098 0.196034i
\(73\) −7.73558 + 14.7389i −0.905381 + 1.72506i −0.252503 + 0.967596i \(0.581254\pi\)
−0.652878 + 0.757463i \(0.726438\pi\)
\(74\) −5.18131 + 0.842046i −0.602316 + 0.0978858i
\(75\) −5.80418 + 3.67034i −0.670208 + 0.423814i
\(76\) 0.156992 0.0744937i 0.0180082 0.00854501i
\(77\) −4.08757 + 5.92187i −0.465822 + 0.674860i
\(78\) −2.73840 0.518777i −0.310063 0.0587399i
\(79\) 4.19097 + 6.07167i 0.471521 + 0.683116i 0.984520 0.175273i \(-0.0560809\pi\)
−0.512999 + 0.858389i \(0.671466\pi\)
\(80\) 2.30267 + 1.32945i 0.257447 + 0.148637i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −6.78808 2.26619i −0.749618 0.250259i
\(83\) 1.34732 5.46628i 0.147887 0.600002i −0.849489 0.527607i \(-0.823089\pi\)
0.997376 0.0723956i \(-0.0230644\pi\)
\(84\) −4.46908 + 0.180098i −0.487617 + 0.0196503i
\(85\) 16.6497 0.670961i 1.80592 0.0727760i
\(86\) 0.0603015 0.244653i 0.00650248 0.0263816i
\(87\) 8.16644 + 2.72636i 0.875534 + 0.292296i
\(88\) −2.54396 5.36128i −0.271187 0.571515i
\(89\) −11.0689 6.39065i −1.17330 0.677408i −0.218849 0.975759i \(-0.570230\pi\)
−0.954456 + 0.298351i \(0.903563\pi\)
\(90\) 1.51271 + 2.19154i 0.159454 + 0.231008i
\(91\) −9.87581 + 5.88978i −1.03527 + 0.617416i
\(92\) 3.10642 4.50042i 0.323866 0.469201i
\(93\) −3.81882 + 1.81205i −0.395994 + 0.187901i
\(94\) −2.71165 + 1.71474i −0.279685 + 0.176862i
\(95\) −0.421305 + 0.0684688i −0.0432250 + 0.00702475i
\(96\) 2.72182 5.18600i 0.277795 0.529294i
\(97\) −6.35899 5.19196i −0.645658 0.527163i 0.252073 0.967708i \(-0.418888\pi\)
−0.897731 + 0.440545i \(0.854785\pi\)
\(98\) 1.76773 1.69792i 0.178567 0.171516i
\(99\) 2.25626i 0.226763i
\(100\) −6.67173 6.94601i −0.667173 0.694601i
\(101\) −5.66559 + 1.89145i −0.563748 + 0.188207i −0.584236 0.811583i \(-0.698606\pi\)
0.0204888 + 0.999790i \(0.493478\pi\)
\(102\) −0.300871 3.72696i −0.0297907 0.369024i
\(103\) −10.1523 + 2.50231i −1.00033 + 0.246560i −0.705285 0.708924i \(-0.749181\pi\)
−0.295046 + 0.955483i \(0.595335\pi\)
\(104\) −0.134253 9.48208i −0.0131646 0.929794i
\(105\) 10.6671 + 2.62921i 1.04101 + 0.256585i
\(106\) −1.20519 + 7.41580i −0.117058 + 0.720286i
\(107\) 5.13954 + 6.29479i 0.496858 + 0.608540i 0.960772 0.277340i \(-0.0894528\pi\)
−0.463914 + 0.885880i \(0.653555\pi\)
\(108\) −1.12119 + 0.842520i −0.107887 + 0.0810715i
\(109\) 0.655649 0.740075i 0.0627998 0.0708863i −0.716271 0.697822i \(-0.754153\pi\)
0.779071 + 0.626936i \(0.215691\pi\)
\(110\) 0.963788 + 5.93043i 0.0918936 + 0.565444i
\(111\) −0.546430 + 6.76875i −0.0518648 + 0.642461i
\(112\) −0.589081 2.39000i −0.0556630 0.225834i
\(113\) 1.58772 + 5.48144i 0.149360 + 0.515651i 0.999948 0.0101817i \(-0.00324100\pi\)
−0.850588 + 0.525833i \(0.823754\pi\)
\(114\) 0.0191580 + 0.0938419i 0.00179431 + 0.00878910i
\(115\) −10.4046 + 8.49511i −0.970236 + 0.792173i
\(116\) −1.45543 + 11.9865i −0.135133 + 1.11292i
\(117\) −1.49940 + 3.27899i −0.138620 + 0.303143i
\(118\) −0.306008 2.52020i −0.0281703 0.232003i
\(119\) −11.1255 10.6862i −1.01987 0.979601i
\(120\) −6.27642 + 6.53444i −0.572956 + 0.596510i
\(121\) 2.53327 5.33875i 0.230297 0.485341i
\(122\) −1.77782 + 1.22714i −0.160956 + 0.111100i
\(123\) −4.94801 + 7.82466i −0.446147 + 0.705525i
\(124\) −3.56127 4.73920i −0.319812 0.425592i
\(125\) 2.98941 + 5.69584i 0.267381 + 0.509451i
\(126\) 0.493113 2.41543i 0.0439300 0.215183i
\(127\) 12.2340 0.987628i 1.08559 0.0876378i 0.475306 0.879821i \(-0.342338\pi\)
0.610284 + 0.792183i \(0.291055\pi\)
\(128\) 9.03590 + 2.61728i 0.798668 + 0.231337i
\(129\) −0.288631 0.151485i −0.0254125 0.0133375i
\(130\) −2.54042 + 9.25910i −0.222809 + 0.812077i
\(131\) 7.42540 3.89715i 0.648760 0.340496i −0.108035 0.994147i \(-0.534456\pi\)
0.756796 + 0.653651i \(0.226764\pi\)
\(132\) −3.10038 + 0.632946i −0.269853 + 0.0550909i
\(133\) 0.315899 + 0.237382i 0.0273919 + 0.0205837i
\(134\) 0.152913 + 3.79450i 0.0132097 + 0.327795i
\(135\) 3.22103 1.22158i 0.277222 0.105137i
\(136\) 12.2198 3.53951i 1.04784 0.303511i
\(137\) 2.51154 + 0.512734i 0.214575 + 0.0438058i 0.306110 0.951996i \(-0.400972\pi\)
−0.0915354 + 0.995802i \(0.529177\pi\)
\(138\) 1.99869 + 2.25606i 0.170140 + 0.192048i
\(139\) −8.36770 + 10.2486i −0.709739 + 0.869272i −0.996044 0.0888663i \(-0.971676\pi\)
0.286305 + 0.958139i \(0.407573\pi\)
\(140\) −0.620418 + 15.3955i −0.0524349 + 1.30116i
\(141\) 1.31432 + 3.93687i 0.110686 + 0.331544i
\(142\) 6.13798 5.43777i 0.515088 0.456328i
\(143\) −6.22799 + 5.23368i −0.520810 + 0.437662i
\(144\) −0.577728 0.511822i −0.0481440 0.0426519i
\(145\) 11.6253 27.2856i 0.965428 2.26594i
\(146\) 6.43354 11.1432i 0.532444 0.922220i
\(147\) −1.58543 2.74604i −0.130764 0.226490i
\(148\) −9.45437 + 1.14797i −0.777145 + 0.0943624i
\(149\) −14.4720 6.86706i −1.18559 0.562571i −0.269292 0.963059i \(-0.586790\pi\)
−0.916302 + 0.400487i \(0.868841\pi\)
\(150\) 4.59725 2.65423i 0.375364 0.216717i
\(151\) −12.5931 8.69237i −1.02481 0.707375i −0.0678795 0.997694i \(-0.521623\pi\)
−0.956930 + 0.290319i \(0.906239\pi\)
\(152\) −0.299802 + 0.127734i −0.0243172 + 0.0103606i
\(153\) −4.77445 0.775923i −0.385991 0.0627296i
\(154\) 3.34147 4.44669i 0.269263 0.358324i
\(155\) 5.16352 + 13.6151i 0.414744 + 1.09359i
\(156\) −4.92636 1.14051i −0.394425 0.0913137i
\(157\) −6.44235 + 16.9871i −0.514156 + 1.35572i 0.386943 + 0.922104i \(0.373531\pi\)
−0.901099 + 0.433614i \(0.857238\pi\)
\(158\) −3.04802 4.82006i −0.242488 0.383464i
\(159\) 8.94160 + 3.80966i 0.709115 + 0.302126i
\(160\) −17.0528 10.7835i −1.34814 0.852514i
\(161\) 12.3444 + 1.49888i 0.972876 + 0.118129i
\(162\) −0.302992 0.711148i −0.0238053 0.0558731i
\(163\) 5.95286 17.8310i 0.466264 1.39663i −0.408800 0.912624i \(-0.634053\pi\)
0.875064 0.484007i \(-0.160819\pi\)
\(164\) −12.1401 4.60413i −0.947982 0.359522i
\(165\) 7.74737 + 0.625433i 0.603132 + 0.0486899i
\(166\) −1.21078 + 4.18010i −0.0939747 + 0.324438i
\(167\) −2.65919 0.107162i −0.205774 0.00829241i −0.0628351 0.998024i \(-0.520014\pi\)
−0.142939 + 0.989732i \(0.545655\pi\)
\(168\) 8.38792 0.647142
\(169\) −12.5291 + 3.46721i −0.963777 + 0.266709i
\(170\) −12.8808 −0.987909
\(171\) 0.123802 + 0.00498907i 0.00946741 + 0.000381524i
\(172\) 0.127190 0.439110i 0.00969812 0.0334818i
\(173\) 23.1416 + 1.86818i 1.75942 + 0.142035i 0.917545 0.397632i \(-0.130168\pi\)
0.841878 + 0.539668i \(0.181450\pi\)
\(174\) −6.22271 2.35996i −0.471742 0.178908i
\(175\) 6.93536 20.7739i 0.524264 1.57036i
\(176\) −0.682596 1.60211i −0.0514526 0.120764i
\(177\) −3.26027 0.395868i −0.245057 0.0297553i
\(178\) 8.35048 + 5.28052i 0.625895 + 0.395792i
\(179\) −4.82895 2.05742i −0.360933 0.153779i 0.203885 0.978995i \(-0.434643\pi\)
−0.564818 + 0.825216i \(0.691053\pi\)
\(180\) 2.58219 + 4.08340i 0.192465 + 0.304359i
\(181\) −1.16350 + 3.06790i −0.0864823 + 0.228035i −0.971280 0.237941i \(-0.923528\pi\)
0.884797 + 0.465976i \(0.154297\pi\)
\(182\) 7.81117 4.24174i 0.579003 0.314418i
\(183\) 0.990966 + 2.61296i 0.0732543 + 0.193156i
\(184\) −6.16075 + 8.19847i −0.454176 + 0.604399i
\(185\) 23.0905 + 3.75258i 1.69765 + 0.275895i
\(186\) 3.00597 1.28073i 0.220409 0.0939074i
\(187\) −8.98181 6.19970i −0.656815 0.453367i
\(188\) −5.04103 + 2.91044i −0.367655 + 0.212266i
\(189\) −2.88126 1.36718i −0.209581 0.0994475i
\(190\) 0.327538 0.0397703i 0.0237621 0.00288524i
\(191\) −11.1678 19.3431i −0.808071 1.39962i −0.914198 0.405268i \(-0.867178\pi\)
0.106126 0.994353i \(-0.466155\pi\)
\(192\) −1.49186 + 2.58397i −0.107665 + 0.186482i
\(193\) −1.69463 + 3.97744i −0.121982 + 0.286302i −0.969765 0.244041i \(-0.921527\pi\)
0.847783 + 0.530343i \(0.177937\pi\)
\(194\) 4.74994 + 4.20808i 0.341026 + 0.302122i
\(195\) 10.8435 + 6.05747i 0.776521 + 0.433784i
\(196\) 3.32864 2.94891i 0.237760 0.210637i
\(197\) 3.85185 + 11.5377i 0.274433 + 0.822026i 0.992079 + 0.125618i \(0.0400914\pi\)
−0.717646 + 0.696408i \(0.754780\pi\)
\(198\) 0.0702277 1.74268i 0.00499087 0.123847i
\(199\) −13.0882 + 16.0301i −0.927799 + 1.13635i 0.0625907 + 0.998039i \(0.480064\pi\)
−0.990389 + 0.138308i \(0.955834\pi\)
\(200\) 11.9772 + 13.5195i 0.846916 + 0.955971i
\(201\) 4.81348 + 0.982678i 0.339516 + 0.0693128i
\(202\) 4.43485 1.28457i 0.312035 0.0903820i
\(203\) −25.6730 + 9.73648i −1.80189 + 0.683367i
\(204\) −0.273158 6.77834i −0.0191249 0.474579i
\(205\) 25.4961 + 19.1591i 1.78073 + 1.33813i
\(206\) 7.91926 1.61673i 0.551761 0.112643i
\(207\) 3.45253 1.81203i 0.239967 0.125944i
\(208\) 0.0726786 2.78195i 0.00503935 0.192893i
\(209\) 0.247536 + 0.129917i 0.0171224 + 0.00898652i
\(210\) −8.15722 2.36277i −0.562901 0.163046i
\(211\) 18.9505 1.52985i 1.30461 0.105319i 0.591462 0.806333i \(-0.298551\pi\)
0.713147 + 0.701014i \(0.247269\pi\)
\(212\) −2.72656 + 13.3556i −0.187261 + 0.917264i
\(213\) −4.92992 9.39317i −0.337792 0.643610i
\(214\) −3.77373 5.02192i −0.257967 0.343292i
\(215\) −0.600166 + 0.949086i −0.0409310 + 0.0647272i
\(216\) 2.16455 1.49408i 0.147279 0.101659i
\(217\) 5.77896 12.1789i 0.392302 0.826758i
\(218\) −0.529444 + 0.551210i −0.0358585 + 0.0373326i
\(219\) −12.0048 11.5308i −0.811211 0.779178i
\(220\) 1.31394 + 10.8213i 0.0885859 + 0.729571i
\(221\) −8.93313 14.9788i −0.600907 1.00758i
\(222\) 0.632732 5.21102i 0.0424662 0.349741i
\(223\) 4.93386 4.02837i 0.330396 0.269760i −0.452698 0.891664i \(-0.649538\pi\)
0.783093 + 0.621905i \(0.213641\pi\)
\(224\) 3.73620 + 18.3011i 0.249635 + 1.22279i
\(225\) −1.91060 6.59617i −0.127374 0.439745i
\(226\) −1.05570 4.28316i −0.0702244 0.284912i
\(227\) −1.58933 + 19.6874i −0.105488 + 1.30670i 0.700024 + 0.714119i \(0.253172\pi\)
−0.805512 + 0.592579i \(0.798110\pi\)
\(228\) 0.0278746 + 0.171519i 0.00184604 + 0.0113591i
\(229\) −8.72669 + 9.85040i −0.576676 + 0.650933i −0.962385 0.271688i \(-0.912418\pi\)
0.385709 + 0.922620i \(0.373957\pi\)
\(230\) 8.30071 6.23758i 0.547332 0.411294i
\(231\) −4.55083 5.57376i −0.299423 0.366726i
\(232\) 3.63236 22.3508i 0.238476 1.46740i
\(233\) 2.14148 + 0.527828i 0.140293 + 0.0345792i 0.308837 0.951115i \(-0.400060\pi\)
−0.168544 + 0.985694i \(0.553906\pi\)
\(234\) 1.26016 2.48595i 0.0823795 0.162512i
\(235\) 13.8825 3.42172i 0.905591 0.223208i
\(236\) −0.370629 4.59106i −0.0241259 0.298852i
\(237\) −6.99795 + 2.33626i −0.454566 + 0.151756i
\(238\) 8.26047 + 8.60006i 0.535447 + 0.557459i
\(239\) 20.1891i 1.30593i −0.757390 0.652963i \(-0.773526\pi\)
0.757390 0.652963i \(-0.226474\pi\)
\(240\) −1.91760 + 1.84188i −0.123781 + 0.118893i
\(241\) 18.7042 + 15.2715i 1.20484 + 0.983722i 0.999988 + 0.00492894i \(0.00156894\pi\)
0.204853 + 0.978793i \(0.434329\pi\)
\(242\) −2.12281 + 4.04468i −0.136460 + 0.260002i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −3.31253 + 2.09472i −0.212063 + 0.134101i
\(245\) −9.86862 + 4.68272i −0.630483 + 0.299168i
\(246\) 4.06528 5.88957i 0.259193 0.375506i
\(247\) 0.273404 + 0.353306i 0.0173963 + 0.0224804i
\(248\) 6.31537 + 9.14939i 0.401026 + 0.580987i
\(249\) 4.87562 + 2.81494i 0.308980 + 0.178389i
\(250\) −2.13166 4.49238i −0.134818 0.284123i
\(251\) −0.682603 0.227886i −0.0430855 0.0143841i 0.295044 0.955484i \(-0.404666\pi\)
−0.338129 + 0.941100i \(0.609794\pi\)
\(252\) 1.07039 4.34274i 0.0674282 0.273567i
\(253\) 8.79036 0.354239i 0.552645 0.0222708i
\(254\) −9.47998 + 0.382030i −0.594827 + 0.0239707i
\(255\) −3.98778 + 16.1790i −0.249724 + 1.01317i
\(256\) −12.5580 4.19247i −0.784874 0.262029i
\(257\) 9.87024 + 20.8011i 0.615689 + 1.29754i 0.936591 + 0.350424i \(0.113963\pi\)
−0.320902 + 0.947112i \(0.603986\pi\)
\(258\) 0.218217 + 0.125987i 0.0135856 + 0.00784363i
\(259\) −12.3026 17.8233i −0.764444 1.10749i
\(260\) −5.28177 + 16.5996i −0.327562 + 1.02946i
\(261\) −4.89076 + 7.08549i −0.302731 + 0.438581i
\(262\) −5.85651 + 2.77895i −0.361817 + 0.171684i
\(263\) 14.6619 9.27160i 0.904089 0.571711i 0.000447001 1.00000i \(-0.499858\pi\)
0.903642 + 0.428289i \(0.140883\pi\)
\(264\) 5.85738 0.951917i 0.360497 0.0585865i
\(265\) 15.5599 29.6470i 0.955838 1.82120i
\(266\) −0.236604 0.193181i −0.0145071 0.0118447i
\(267\) 9.21791 8.85392i 0.564127 0.541851i
\(268\) 6.88997i 0.420872i
\(269\) −6.53544 6.80411i −0.398473 0.414854i 0.491493 0.870882i \(-0.336451\pi\)
−0.889966 + 0.456027i \(0.849272\pi\)
\(270\) −2.52587 + 0.843261i −0.153720 + 0.0513192i
\(271\) −2.47671 30.6795i −0.150449 1.86365i −0.429100 0.903257i \(-0.641169\pi\)
0.278651 0.960392i \(-0.410113\pi\)
\(272\) 3.62495 0.893471i 0.219795 0.0541746i
\(273\) −2.90961 11.1245i −0.176098 0.673287i
\(274\) −1.92389 0.474197i −0.116227 0.0286473i
\(275\) 2.48548 15.2938i 0.149880 0.922249i
\(276\) 3.45848 + 4.23587i 0.208176 + 0.254969i
\(277\) −10.7277 + 8.06131i −0.644562 + 0.484357i −0.872046 0.489425i \(-0.837207\pi\)
0.227483 + 0.973782i \(0.426950\pi\)
\(278\) 6.78201 7.65531i 0.406758 0.459135i
\(279\) −0.678048 4.17219i −0.0405936 0.249783i
\(280\) 2.32512 28.8018i 0.138953 1.72124i
\(281\) −5.57537 22.6202i −0.332599 1.34941i −0.864514 0.502609i \(-0.832374\pi\)
0.531915 0.846798i \(-0.321473\pi\)
\(282\) −0.892613 3.08166i −0.0531543 0.183510i
\(283\) 4.47474 + 21.9187i 0.265996 + 1.30293i 0.864832 + 0.502062i \(0.167425\pi\)
−0.598836 + 0.800872i \(0.704370\pi\)
\(284\) 11.5244 9.40937i 0.683846 0.558343i
\(285\) 0.0514490 0.423720i 0.00304757 0.0250990i
\(286\) 4.97326 3.84852i 0.294075 0.227568i
\(287\) −3.55884 29.3097i −0.210072 1.73010i
\(288\) 4.22399 + 4.05720i 0.248901 + 0.239073i
\(289\) 4.43163 4.61381i 0.260684 0.271401i
\(290\) −9.82839 + 20.7129i −0.577143 + 1.21630i
\(291\) 6.75615 4.66344i 0.396053 0.273375i
\(292\) 12.4770 19.7308i 0.730162 1.15466i
\(293\) 10.7263 + 14.2741i 0.626635 + 0.833899i 0.995418 0.0956160i \(-0.0304821\pi\)
−0.368784 + 0.929515i \(0.620226\pi\)
\(294\) 1.13908 + 2.17033i 0.0664322 + 0.126576i
\(295\) −2.26305 + 11.0851i −0.131760 + 0.645401i
\(296\) 17.8026 1.43718i 1.03476 0.0835341i
\(297\) −2.16718 0.627731i −0.125752 0.0364246i
\(298\) 10.9641 + 5.75441i 0.635134 + 0.333344i
\(299\) 13.0103 + 5.32684i 0.752407 + 0.308059i
\(300\) 8.52796 4.47582i 0.492362 0.258411i
\(301\) 1.01856 0.207941i 0.0587089 0.0119855i
\(302\) 9.45604 + 7.10576i 0.544134 + 0.408890i
\(303\) −0.240508 5.96814i −0.0138168 0.342861i
\(304\) −0.0894183 + 0.0339119i −0.00512849 + 0.00194498i
\(305\) 9.24689 2.67839i 0.529475 0.153364i
\(306\) 3.66352 + 0.747913i 0.209430 + 0.0427554i
\(307\) 7.28017 + 8.21761i 0.415501 + 0.469004i 0.918579 0.395237i \(-0.129338\pi\)
−0.503078 + 0.864241i \(0.667799\pi\)
\(308\) 6.38238 7.81700i 0.363670 0.445415i
\(309\) 0.421024 10.4476i 0.0239512 0.594344i
\(310\) −3.56441 10.6767i −0.202445 0.606396i
\(311\) 3.51444 3.11352i 0.199286 0.176552i −0.557578 0.830125i \(-0.688269\pi\)
0.756864 + 0.653573i \(0.226731\pi\)
\(312\) 9.14506 + 2.50913i 0.517737 + 0.142051i
\(313\) 24.3846 + 21.6029i 1.37830 + 1.22107i 0.947956 + 0.318403i \(0.103146\pi\)
0.430344 + 0.902665i \(0.358392\pi\)
\(314\) 5.50466 12.9199i 0.310646 0.729113i
\(315\) −5.49319 + 9.51449i −0.309506 + 0.536081i
\(316\) −5.17343 8.96064i −0.291028 0.504076i
\(317\) 2.76120 0.335271i 0.155085 0.0188307i −0.0426261 0.999091i \(-0.513572\pi\)
0.197711 + 0.980260i \(0.436649\pi\)
\(318\) −6.78771 3.22081i −0.380636 0.180614i
\(319\) −16.8228 + 9.71265i −0.941896 + 0.543804i
\(320\) 8.45910 + 5.83889i 0.472878 + 0.326404i
\(321\) −7.47617 + 3.18530i −0.417279 + 0.177786i
\(322\) −9.48789 1.54193i −0.528739 0.0859285i
\(323\) −0.360042 + 0.479129i −0.0200333 + 0.0266595i
\(324\) −0.497321 1.31133i −0.0276289 0.0728515i
\(325\) 13.7756 20.5745i 0.764134 1.14127i
\(326\) −5.15286 + 13.5870i −0.285390 + 0.752512i
\(327\) 0.528442 + 0.835665i 0.0292229 + 0.0462124i
\(328\) 22.4008 + 9.54411i 1.23688 + 0.526985i
\(329\) −11.1874 7.07450i −0.616783 0.390030i
\(330\) −5.96443 0.724212i −0.328331 0.0398666i
\(331\) 10.2445 + 24.0447i 0.563087 + 1.32161i 0.921619 + 0.388097i \(0.126867\pi\)
−0.358532 + 0.933518i \(0.616722\pi\)
\(332\) −2.50032 + 7.48936i −0.137223 + 0.411032i
\(333\) −6.34948 2.40804i −0.347949 0.131960i
\(334\) 2.05056 + 0.165538i 0.112202 + 0.00905785i
\(335\) 4.70854 16.2557i 0.257255 0.888146i
\(336\) 2.45953 + 0.0991156i 0.134178 + 0.00540720i
\(337\) −30.0794 −1.63853 −0.819264 0.573416i \(-0.805618\pi\)
−0.819264 + 0.573416i \(0.805618\pi\)
\(338\) 9.78511 2.28802i 0.532240 0.124452i
\(339\) −5.70676 −0.309949
\(340\) −23.3507 0.941000i −1.26637 0.0510329i
\(341\) 2.65338 9.16051i 0.143688 0.496070i
\(342\) −0.0954669 0.00770688i −0.00516226 0.000416741i
\(343\) −11.4183 4.33037i −0.616528 0.233818i
\(344\) −0.271491 + 0.813214i −0.0146378 + 0.0438456i
\(345\) −5.26496 12.3573i −0.283456 0.665295i
\(346\) −17.8159 2.16324i −0.957788 0.116297i
\(347\) 9.79372 + 6.19317i 0.525754 + 0.332467i 0.770834 0.637036i \(-0.219840\pi\)
−0.245080 + 0.969503i \(0.578814\pi\)
\(348\) −11.1083 4.73282i −0.595469 0.253706i
\(349\) 15.4305 + 24.4014i 0.825978 + 1.30618i 0.949478 + 0.313835i \(0.101614\pi\)
−0.123500 + 0.992345i \(0.539412\pi\)
\(350\) −6.00332 + 15.8294i −0.320891 + 0.846120i
\(351\) −2.73237 2.35248i −0.145843 0.125566i
\(352\) 4.68597 + 12.3559i 0.249763 + 0.658571i
\(353\) 1.12225 1.49345i 0.0597314 0.0794881i −0.768589 0.639743i \(-0.779041\pi\)
0.828320 + 0.560255i \(0.189297\pi\)
\(354\) 2.50584 + 0.407238i 0.133184 + 0.0216444i
\(355\) −33.6201 + 14.3242i −1.78437 + 0.760250i
\(356\) 14.7523 + 10.1827i 0.781868 + 0.539685i
\(357\) 13.3596 7.71316i 0.707064 0.408224i
\(358\) 3.66573 + 1.73941i 0.193740 + 0.0919308i
\(359\) 10.0040 1.21471i 0.527992 0.0641098i 0.147800 0.989017i \(-0.452781\pi\)
0.380192 + 0.924907i \(0.375858\pi\)
\(360\) −4.53024 7.84661i −0.238765 0.413553i
\(361\) −9.49232 + 16.4412i −0.499596 + 0.865326i
\(362\) 0.994152 2.33336i 0.0522515 0.122639i
\(363\) 4.42317 + 3.91859i 0.232156 + 0.205672i
\(364\) 14.4702 7.11892i 0.758446 0.373133i
\(365\) −42.9213 + 38.0249i −2.24660 + 1.99032i
\(366\) −0.684069 2.04904i −0.0357569 0.107105i
\(367\) −0.816657 + 20.2651i −0.0426292 + 1.05783i 0.826404 + 0.563078i \(0.190383\pi\)
−0.869033 + 0.494754i \(0.835258\pi\)
\(368\) −1.90335 + 2.33118i −0.0992189 + 0.121521i
\(369\) −6.13910 6.92961i −0.319589 0.360741i
\(370\) −17.7178 3.61712i −0.921105 0.188045i
\(371\) −29.7729 + 8.62383i −1.54573 + 0.447727i
\(372\) 5.54289 2.10214i 0.287386 0.108991i
\(373\) −0.771771 19.1513i −0.0399608 0.991617i −0.887478 0.460850i \(-0.847545\pi\)
0.847517 0.530768i \(-0.178096\pi\)
\(374\) 6.74438 + 5.06807i 0.348743 + 0.262064i
\(375\) −6.30266 + 1.28670i −0.325468 + 0.0664447i
\(376\) 9.66584 5.07302i 0.498477 0.261621i
\(377\) −30.9029 + 2.93564i −1.59158 + 0.151193i
\(378\) 2.18287 + 1.14566i 0.112275 + 0.0589263i
\(379\) −14.6861 4.25387i −0.754373 0.218507i −0.121318 0.992614i \(-0.538712\pi\)
−0.633055 + 0.774107i \(0.718199\pi\)
\(380\) 0.596676 0.0481687i 0.0306089 0.00247100i
\(381\) −2.45507 + 12.0257i −0.125777 + 0.616097i
\(382\) 8.02366 + 15.2878i 0.410526 + 0.782192i
\(383\) −13.6384 18.1495i −0.696892 0.927395i 0.302778 0.953061i \(-0.402086\pi\)
−0.999671 + 0.0256659i \(0.991829\pi\)
\(384\) −5.02789 + 7.95097i −0.256579 + 0.405746i
\(385\) −20.4002 + 14.0813i −1.03969 + 0.717647i
\(386\) 1.43269 3.01934i 0.0729221 0.153680i
\(387\) 0.225806 0.235089i 0.0114784 0.0119503i
\(388\) 8.30343 + 7.97555i 0.421543 + 0.404897i
\(389\) 1.25707 + 10.3529i 0.0637362 + 0.524914i 0.989254 + 0.146210i \(0.0467074\pi\)
−0.925517 + 0.378705i \(0.876370\pi\)
\(390\) −8.18675 5.01616i −0.414552 0.254003i
\(391\) −2.27338 + 18.7230i −0.114970 + 0.946863i
\(392\) −6.45999 + 5.27442i −0.326279 + 0.266398i
\(393\) 1.67741 + 8.21649i 0.0846141 + 0.414467i
\(394\) −2.61596 9.03134i −0.131790 0.454992i
\(395\) 6.08224 + 24.6766i 0.306031 + 1.24162i
\(396\) 0.254622 3.15406i 0.0127953 0.158498i
\(397\) 3.57248 + 21.9823i 0.179297 + 1.10326i 0.908167 + 0.418609i \(0.137482\pi\)
−0.728869 + 0.684653i \(0.759954\pi\)
\(398\) 10.6080 11.9739i 0.531730 0.600199i
\(399\) −0.315899 + 0.237382i −0.0158147 + 0.0118840i
\(400\) 3.35224 + 4.10574i 0.167612 + 0.205287i
\(401\) −5.31049 + 32.6767i −0.265193 + 1.63180i 0.422900 + 0.906176i \(0.361012\pi\)
−0.688093 + 0.725623i \(0.741552\pi\)
\(402\) −3.68723 0.908821i −0.183902 0.0453279i
\(403\) 9.94376 11.5496i 0.495334 0.575324i
\(404\) 8.13348 2.00472i 0.404656 0.0997387i
\(405\) 0.277199 + 3.43372i 0.0137741 + 0.170623i
\(406\) 20.1323 6.72115i 0.999149 0.333565i
\(407\) −10.6137 11.0501i −0.526103 0.547732i
\(408\) 12.7221i 0.629838i
\(409\) −21.9576 + 21.0906i −1.08574 + 1.04286i −0.0868237 + 0.996224i \(0.527672\pi\)
−0.998912 + 0.0466394i \(0.985149\pi\)
\(410\) −19.0963 15.5916i −0.943098 0.770016i
\(411\) −1.19124 + 2.26972i −0.0587597 + 0.111957i
\(412\) 14.4744 2.35232i 0.713102 0.115890i
\(413\) 8.85247 5.59796i 0.435602 0.275458i
\(414\) −2.72305 + 1.29210i −0.133831 + 0.0635035i
\(415\) 11.0172 15.9612i 0.540815 0.783506i
\(416\) −1.40107 + 21.0707i −0.0686931 + 1.03308i
\(417\) −7.51590 10.8887i −0.368055 0.533220i
\(418\) −0.187147 0.108049i −0.00915366 0.00528487i
\(419\) −2.71392 5.71946i −0.132584 0.279414i 0.826291 0.563243i \(-0.190446\pi\)
−0.958875 + 0.283829i \(0.908395\pi\)
\(420\) −14.6151 4.87922i −0.713142 0.238082i
\(421\) −2.96577 + 12.0326i −0.144543 + 0.586433i 0.853338 + 0.521359i \(0.174575\pi\)
−0.997880 + 0.0650742i \(0.979272\pi\)
\(422\) −14.6846 + 0.591768i −0.714834 + 0.0288068i
\(423\) −4.14710 + 0.167122i −0.201639 + 0.00812577i
\(424\) 6.11764 24.8202i 0.297099 1.20538i
\(425\) 31.5082 + 10.5190i 1.52837 + 0.510246i
\(426\) 3.51539 + 7.40852i 0.170321 + 0.358944i
\(427\) −7.71833 4.45618i −0.373516 0.215650i
\(428\) −6.47427 9.37960i −0.312946 0.453380i
\(429\) −3.29431 7.43819i −0.159051 0.359119i
\(430\) 0.493095 0.714372i 0.0237792 0.0344501i
\(431\) −27.8828 + 13.2305i −1.34307 + 0.637292i −0.958311 0.285727i \(-0.907765\pi\)
−0.384754 + 0.923019i \(0.625714\pi\)
\(432\) 0.652349 0.412520i 0.0313861 0.0198474i
\(433\) 23.4106 3.80459i 1.12504 0.182837i 0.430709 0.902491i \(-0.358264\pi\)
0.694333 + 0.719654i \(0.255700\pi\)
\(434\) −4.84262 + 9.22684i −0.232453 + 0.442902i
\(435\) 22.9739 + 18.7576i 1.10151 + 0.899359i
\(436\) −1.00006 + 0.960573i −0.0478943 + 0.0460031i
\(437\) 0.483116i 0.0231106i
\(438\) 8.91334 + 9.27977i 0.425896 + 0.443405i
\(439\) −16.9934 + 5.67323i −0.811051 + 0.270769i −0.691794 0.722095i \(-0.743179\pi\)
−0.119257 + 0.992863i \(0.538051\pi\)
\(440\) −1.64496 20.3765i −0.0784205 0.971412i
\(441\) 3.07871 0.758835i 0.146605 0.0361350i
\(442\) 6.43352 + 11.8474i 0.306011 + 0.563521i
\(443\) 22.9302 + 5.65179i 1.08945 + 0.268525i 0.742829 0.669481i \(-0.233484\pi\)
0.346619 + 0.938006i \(0.387330\pi\)
\(444\) 1.52773 9.40048i 0.0725027 0.446127i
\(445\) −27.8467 34.1061i −1.32006 1.61678i
\(446\) −3.93618 + 2.95785i −0.186384 + 0.140058i
\(447\) 10.6223 11.9901i 0.502418 0.567112i
\(448\) −1.52641 9.39236i −0.0721160 0.443747i
\(449\) 0.894923 11.0856i 0.0422340 0.523162i −0.940704 0.339227i \(-0.889834\pi\)
0.982938 0.183935i \(-0.0588835\pi\)
\(450\) 1.27040 + 5.15420i 0.0598870 + 0.242971i
\(451\) −5.81145 20.0634i −0.273650 0.944751i
\(452\) −1.60091 7.84178i −0.0753005 0.368846i
\(453\) 11.8528 9.67750i 0.556893 0.454689i
\(454\) 1.84035 15.1566i 0.0863718 0.711336i
\(455\) −39.0051 + 6.90710i −1.82859 + 0.323810i
\(456\) −0.0392804 0.323503i −0.00183947 0.0151494i
\(457\) −26.4632 25.4182i −1.23790 1.18901i −0.974515 0.224323i \(-0.927983\pi\)
−0.263381 0.964692i \(-0.584838\pi\)
\(458\) 7.04690 7.33660i 0.329280 0.342817i
\(459\) 2.07362 4.37007i 0.0967884 0.203977i
\(460\) 15.5035 10.7013i 0.722853 0.498950i
\(461\) −17.1732 + 27.1572i −0.799836 + 1.26484i 0.160789 + 0.986989i \(0.448596\pi\)
−0.960624 + 0.277850i \(0.910378\pi\)
\(462\) 3.34147 + 4.44669i 0.155459 + 0.206879i
\(463\) 18.6028 + 35.4446i 0.864544 + 1.64725i 0.757346 + 0.653013i \(0.226495\pi\)
0.107198 + 0.994238i \(0.465812\pi\)
\(464\) 1.32920 6.51085i 0.0617065 0.302258i
\(465\) −14.5141 + 1.17170i −0.673076 + 0.0543363i
\(466\) −1.63760 0.474337i −0.0758605 0.0219733i
\(467\) 31.1057 + 16.3255i 1.43940 + 0.755455i 0.990420 0.138088i \(-0.0440956\pi\)
0.448979 + 0.893542i \(0.351788\pi\)
\(468\) 2.46608 4.41455i 0.113995 0.204063i
\(469\) −13.8730 + 7.28113i −0.640597 + 0.336211i
\(470\) −10.8290 + 2.21075i −0.499504 + 0.101975i
\(471\) −14.5240 10.9141i −0.669232 0.502895i
\(472\) 0.347812 + 8.63087i 0.0160094 + 0.397268i
\(473\) 0.687675 0.260801i 0.0316194 0.0119916i
\(474\) 5.47777 1.58666i 0.251602 0.0728775i
\(475\) −0.833683 0.170198i −0.0382520 0.00780920i
\(476\) 14.3466 + 16.1939i 0.657574 + 0.742248i
\(477\) −6.14696 + 7.52865i −0.281450 + 0.344713i
\(478\) −0.628401 + 15.5936i −0.0287424 + 0.713235i
\(479\) −7.75806 23.2382i −0.354475 1.06178i −0.963288 0.268468i \(-0.913483\pi\)
0.608814 0.793313i \(-0.291646\pi\)
\(480\) 15.1022 13.3794i 0.689317 0.610682i
\(481\) −8.08146 23.1123i −0.368483 1.05383i
\(482\) −13.9713 12.3775i −0.636376 0.563780i
\(483\) −4.87414 + 11.4400i −0.221781 + 0.520539i
\(484\) −4.14379 + 7.17725i −0.188354 + 0.326239i
\(485\) −14.1402 24.4915i −0.642071 1.11210i
\(486\) 0.767368 0.0931753i 0.0348085 0.00422652i
\(487\) −10.9829 5.21143i −0.497681 0.236153i 0.163270 0.986581i \(-0.447796\pi\)
−0.660951 + 0.750429i \(0.729847\pi\)
\(488\) 6.36532 3.67502i 0.288144 0.166360i
\(489\) 15.4708 + 10.6787i 0.699614 + 0.482909i
\(490\) 7.76805 3.30966i 0.350925 0.149515i
\(491\) 2.67013 + 0.433938i 0.120501 + 0.0195833i 0.220363 0.975418i \(-0.429276\pi\)
−0.0998616 + 0.995001i \(0.531840\pi\)
\(492\) 7.79994 10.3798i 0.351648 0.467959i
\(493\) −14.7675 38.9387i −0.665095 1.75371i
\(494\) −0.200174 0.281396i −0.00900625 0.0126606i
\(495\) −2.75619 + 7.26748i −0.123882 + 0.326649i
\(496\) 1.74370 + 2.75743i 0.0782942 + 0.123812i
\(497\) 31.1245 + 13.2609i 1.39612 + 0.594833i
\(498\) −3.67820 2.32595i −0.164824 0.104228i
\(499\) 9.71107 + 1.17914i 0.434727 + 0.0527854i 0.334975 0.942227i \(-0.391272\pi\)
0.0997518 + 0.995012i \(0.468195\pi\)
\(500\) −3.53616 8.29966i −0.158142 0.371172i
\(501\) 0.842763 2.52438i 0.0376519 0.112781i
\(502\) 0.520134 + 0.197261i 0.0232147 + 0.00880418i
\(503\) 24.7587 + 1.99873i 1.10393 + 0.0891188i 0.618969 0.785415i \(-0.287550\pi\)
0.484965 + 0.874534i \(0.338833\pi\)
\(504\) −2.33366 + 8.05675i −0.103950 + 0.358876i
\(505\) −20.5596 0.828524i −0.914891 0.0368688i
\(506\) −6.80050 −0.302319
\(507\) 0.155495 12.9991i 0.00690577 0.577309i
\(508\) −17.2135 −0.763727
\(509\) 12.8902 + 0.519457i 0.571347 + 0.0230245i 0.324259 0.945968i \(-0.394885\pi\)
0.247088 + 0.968993i \(0.420526\pi\)
\(510\) 3.58365 12.3722i 0.158687 0.547850i
\(511\) 52.9135 + 4.27162i 2.34076 + 0.188965i
\(512\) −8.02299 3.04272i −0.354570 0.134471i
\(513\) −0.0392361 + 0.117526i −0.00173232 + 0.00518892i
\(514\) −6.97610 16.3735i −0.307703 0.722204i
\(515\) −35.7575 4.34175i −1.57566 0.191320i
\(516\) 0.386386 + 0.244336i 0.0170097 + 0.0107563i
\(517\) −8.61518 3.67058i −0.378895 0.161432i
\(518\) 8.94745 + 14.1493i 0.393128 + 0.621683i
\(519\) −8.23282 + 21.7082i −0.361381 + 0.952882i
\(520\) 11.1507 30.7061i 0.488988 1.34655i
\(521\) −4.09156 10.7886i −0.179255 0.472656i 0.815030 0.579419i \(-0.196721\pi\)
−0.994284 + 0.106763i \(0.965951\pi\)
\(522\) 3.99805 5.32044i 0.174990 0.232869i
\(523\) −37.4391 6.08444i −1.63710 0.266054i −0.728906 0.684613i \(-0.759971\pi\)
−0.908189 + 0.418560i \(0.862535\pi\)
\(524\) −10.8199 + 4.60993i −0.472669 + 0.201386i
\(525\) 18.0242 + 12.4412i 0.786641 + 0.542979i
\(526\) −11.6131 + 6.70481i −0.506354 + 0.292344i
\(527\) 18.4720 + 8.76506i 0.804652 + 0.381812i
\(528\) 1.72877 0.209910i 0.0752349 0.00913517i
\(529\) 3.89831 + 6.75208i 0.169492 + 0.293569i
\(530\) −12.9409 + 22.4143i −0.562117 + 0.973616i
\(531\) 1.28730 3.02141i 0.0558642 0.131118i
\(532\) −0.414811 0.367490i −0.0179843 0.0159327i
\(533\) 4.88750 33.0200i 0.211701 1.43025i
\(534\) −7.39529 + 6.55165i −0.320025 + 0.283518i
\(535\) 8.86505 + 26.5541i 0.383269 + 1.14803i
\(536\) 0.520282 12.9107i 0.0224728 0.557656i
\(537\) 3.31969 4.06589i 0.143255 0.175456i
\(538\) 4.83604 + 5.45876i 0.208497 + 0.235344i
\(539\) 7.00969 + 1.43104i 0.301929 + 0.0616391i
\(540\) −4.64059 + 1.34416i −0.199699 + 0.0578436i
\(541\) 16.1746 6.13421i 0.695400 0.263730i 0.0185248 0.999828i \(-0.494103\pi\)
0.676875 + 0.736098i \(0.263334\pi\)
\(542\) 0.958030 + 23.7733i 0.0411509 + 1.02115i
\(543\) −2.62307 1.97111i −0.112567 0.0845883i
\(544\) −27.7576 + 5.66676i −1.19010 + 0.242960i
\(545\) 3.01593 1.58288i 0.129188 0.0678031i
\(546\) 1.90106 + 8.68290i 0.0813578 + 0.371594i
\(547\) 35.2005 + 18.4746i 1.50506 + 0.789919i 0.997430 0.0716537i \(-0.0228276\pi\)
0.507635 + 0.861572i \(0.330520\pi\)
\(548\) −3.45305 1.00019i −0.147507 0.0427260i
\(549\) −2.78550 + 0.224869i −0.118882 + 0.00959718i
\(550\) −2.39576 + 11.7352i −0.102155 + 0.500390i
\(551\) 0.495741 + 0.944555i 0.0211193 + 0.0402394i
\(552\) −6.16075 8.19847i −0.262219 0.348950i
\(553\) 12.5752 19.8861i 0.534752 0.845643i
\(554\) 8.53671 5.89247i 0.362690 0.250347i
\(555\) −10.0286 + 21.1349i −0.425691 + 0.897124i
\(556\) 12.8539 13.3823i 0.545127 0.567538i
\(557\) 21.2483 + 20.4093i 0.900319 + 0.864768i 0.991372 0.131078i \(-0.0418437\pi\)
−0.0910528 + 0.995846i \(0.529023\pi\)
\(558\) 0.393846 + 3.24361i 0.0166728 + 0.137313i
\(559\) 1.17271 + 0.0779775i 0.0496002 + 0.00329810i
\(560\) 1.02211 8.41787i 0.0431922 0.355720i
\(561\) 8.45382 6.90233i 0.356921 0.291417i
\(562\) 3.60222 + 17.6448i 0.151951 + 0.744303i
\(563\) 4.60901 + 15.9121i 0.194246 + 0.670617i 0.997214 + 0.0745938i \(0.0237660\pi\)
−0.802968 + 0.596023i \(0.796747\pi\)
\(564\) −1.39303 5.65174i −0.0586571 0.237981i
\(565\) −1.58191 + 19.5954i −0.0665513 + 0.824386i
\(566\) −2.77395 17.0688i −0.116598 0.717455i
\(567\) 2.11482 2.38713i 0.0888139 0.100250i
\(568\) −22.3053 + 16.7613i −0.935910 + 0.703291i
\(569\) 10.6881 + 13.0905i 0.448068 + 0.548784i 0.948411 0.317043i \(-0.102690\pi\)
−0.500343 + 0.865827i \(0.666793\pi\)
\(570\) −0.0529266 + 0.325671i −0.00221685 + 0.0136408i
\(571\) 6.67159 + 1.64440i 0.279197 + 0.0688160i 0.376428 0.926446i \(-0.377152\pi\)
−0.0972305 + 0.995262i \(0.530998\pi\)
\(572\) 9.29684 6.61341i 0.388720 0.276520i
\(573\) 21.6865 5.34524i 0.905967 0.223301i
\(574\) 1.83648 + 22.7489i 0.0766533 + 0.949522i
\(575\) −25.3986 + 8.47930i −1.05920 + 0.353611i
\(576\) −2.06689 2.15186i −0.0861204 0.0896608i
\(577\) 19.8762i 0.827457i −0.910400 0.413728i \(-0.864226\pi\)
0.910400 0.413728i \(-0.135774\pi\)
\(578\) −3.56649 + 3.42566i −0.148347 + 0.142489i
\(579\) −3.34893 2.73431i −0.139177 0.113634i
\(580\) −19.3304 + 36.8310i −0.802651 + 1.52932i
\(581\) −17.7222 + 2.88013i −0.735239 + 0.119488i
\(582\) −5.36345 + 3.39164i −0.222322 + 0.140588i
\(583\) −19.8121 + 9.40096i −0.820533 + 0.389348i
\(584\) −24.8698 + 36.0301i −1.02912 + 1.49094i
\(585\) −8.83516 + 8.73011i −0.365289 + 0.360946i
\(586\) −7.84043 11.3588i −0.323885 0.469228i
\(587\) −10.2439 5.91432i −0.422811 0.244110i 0.273468 0.961881i \(-0.411829\pi\)
−0.696279 + 0.717771i \(0.745162\pi\)
\(588\) 1.90640 + 4.01765i 0.0786186 + 0.165685i
\(589\) −0.496776 0.165848i −0.0204693 0.00683366i
\(590\) 2.09296 8.49146i 0.0861657 0.349588i
\(591\) −12.1538 + 0.489782i −0.499941 + 0.0201469i
\(592\) 5.23711 0.211048i 0.215244 0.00867404i
\(593\) 9.86478 40.0230i 0.405098 1.64355i −0.314574 0.949233i \(-0.601862\pi\)
0.719672 0.694314i \(-0.244292\pi\)
\(594\) 1.65434 + 0.552300i 0.0678784 + 0.0226611i
\(595\) −22.7816 48.0112i −0.933955 1.96827i
\(596\) 19.4557 + 11.2328i 0.796938 + 0.460112i
\(597\) −11.7559 17.0313i −0.481136 0.697046i
\(598\) −9.88308 4.51929i −0.404149 0.184807i
\(599\) −5.35978 + 7.76499i −0.218995 + 0.317269i −0.917048 0.398777i \(-0.869435\pi\)
0.698053 + 0.716046i \(0.254050\pi\)
\(600\) −16.3180 + 7.74297i −0.666178 + 0.316105i
\(601\) −10.3000 + 6.51333i −0.420146 + 0.265684i −0.727767 0.685825i \(-0.759442\pi\)
0.307621 + 0.951509i \(0.400467\pi\)
\(602\) −0.793186 + 0.128905i −0.0323279 + 0.00525379i
\(603\) −2.28307 + 4.35003i −0.0929739 + 0.177147i
\(604\) 16.6231 + 13.5724i 0.676385 + 0.552251i
\(605\) 14.6814 14.1017i 0.596886 0.573316i
\(606\) 4.61714i 0.187559i
\(607\) 15.7759 + 16.4245i 0.640326 + 0.666650i 0.959715 0.280974i \(-0.0906574\pi\)
−0.319390 + 0.947623i \(0.603478\pi\)
\(608\) 0.688337 0.229801i 0.0279158 0.00931965i
\(609\) −2.20939 27.3682i −0.0895291 1.10902i
\(610\) −7.22545 + 1.78091i −0.292550 + 0.0721071i
\(611\) −10.0810 11.0596i −0.407835 0.447425i
\(612\) 6.58671 + 1.62348i 0.266252 + 0.0656253i
\(613\) 1.37023 8.43138i 0.0553432 0.340540i −0.944582 0.328277i \(-0.893532\pi\)
0.999925 0.0122637i \(-0.00390375\pi\)
\(614\) −5.36725 6.57369i −0.216605 0.265293i
\(615\) −25.4961 + 19.1591i −1.02810 + 0.772569i
\(616\) −12.5498 + 14.1658i −0.505646 + 0.570756i
\(617\) 1.71708 + 10.5656i 0.0691272 + 0.425357i 0.998429 + 0.0560351i \(0.0178459\pi\)
−0.929302 + 0.369322i \(0.879590\pi\)
\(618\) −0.650379 + 8.05639i −0.0261621 + 0.324076i
\(619\) −9.53197 38.6727i −0.383122 1.55439i −0.773538 0.633750i \(-0.781515\pi\)
0.390416 0.920639i \(-0.372331\pi\)
\(620\) −5.68169 19.6155i −0.228182 0.787776i
\(621\) 0.779930 + 3.82035i 0.0312975 + 0.153305i
\(622\) −2.81139 + 2.29543i −0.112726 + 0.0920382i
\(623\) −4.91330 + 40.4647i −0.196847 + 1.62118i
\(624\) 2.65189 + 0.843796i 0.106161 + 0.0337789i
\(625\) −1.46774 12.0879i −0.0587094 0.483516i
\(626\) −18.1617 17.4446i −0.725888 0.697225i
\(627\) −0.193656 + 0.201617i −0.00773388 + 0.00805182i
\(628\) 10.9229 23.0195i 0.435871 0.918579i
\(629\) 27.0330 18.6595i 1.07788 0.744004i
\(630\) 4.53896 7.17779i 0.180837 0.285970i
\(631\) 4.97474 + 6.62018i 0.198041 + 0.263545i 0.887529 0.460753i \(-0.152420\pi\)
−0.689487 + 0.724298i \(0.742164\pi\)
\(632\) 9.01750 + 17.1814i 0.358697 + 0.683440i
\(633\) −3.80293 + 18.6280i −0.151153 + 0.740395i
\(634\) −2.14312 + 0.173011i −0.0851144 + 0.00687114i
\(635\) 40.6125 + 11.7635i 1.61166 + 0.466822i
\(636\) −12.0697 6.33466i −0.478594 0.251186i
\(637\) 9.23609 + 6.73801i 0.365947 + 0.266970i
\(638\) 13.2959 6.97821i 0.526388 0.276270i
\(639\) 10.3939 2.12193i 0.411176 0.0839423i
\(640\) 25.9077 + 19.4684i 1.02409 + 0.769556i
\(641\) −0.204334 5.07050i −0.00807072 0.200273i −0.998194 0.0600732i \(-0.980867\pi\)
0.990123 0.140200i \(-0.0447744\pi\)
\(642\) 5.87356 2.22755i 0.231811 0.0879144i
\(643\) −2.66759 + 0.772676i −0.105199 + 0.0304714i −0.330400 0.943841i \(-0.607184\pi\)
0.225200 + 0.974312i \(0.427696\pi\)
\(644\) −17.0873 3.48840i −0.673335 0.137462i
\(645\) −0.744638 0.840523i −0.0293201 0.0330955i
\(646\) 0.293002 0.358862i 0.0115280 0.0141192i
\(647\) 1.65529 41.0756i 0.0650761 1.61485i −0.556059 0.831143i \(-0.687687\pi\)
0.621135 0.783704i \(-0.286672\pi\)
\(648\) 0.832875 + 2.49476i 0.0327184 + 0.0980036i
\(649\) 5.54649 4.91376i 0.217719 0.192882i
\(650\) −11.2804 + 15.4625i −0.442452 + 0.606489i
\(651\) 10.0903 + 8.93918i 0.395468 + 0.350354i
\(652\) −10.3339 + 24.2545i −0.404705 + 0.949878i
\(653\) 3.84789 6.66473i 0.150579 0.260811i −0.780861 0.624705i \(-0.785219\pi\)
0.931441 + 0.363893i \(0.118553\pi\)
\(654\) −0.382146 0.661897i −0.0149431 0.0258822i
\(655\) 28.6781 3.48216i 1.12055 0.136059i
\(656\) 6.45566 + 3.06325i 0.252051 + 0.119600i
\(657\) 14.4155 8.32278i 0.562401 0.324703i
\(658\) 8.42071 + 5.81240i 0.328274 + 0.226591i
\(659\) 4.65234 1.98217i 0.181229 0.0772146i −0.299446 0.954113i \(-0.596802\pi\)
0.480675 + 0.876899i \(0.340392\pi\)
\(660\) −10.7596 1.74861i −0.418817 0.0680644i
\(661\) 24.1029 32.0751i 0.937493 1.24758i −0.0312509 0.999512i \(-0.509949\pi\)
0.968744 0.248065i \(-0.0797945\pi\)
\(662\) −7.16419 18.8904i −0.278444 0.734197i
\(663\) 16.8728 4.41306i 0.655285 0.171389i
\(664\) 5.25072 13.8450i 0.203768 0.537291i
\(665\) 0.727539 + 1.15051i 0.0282127 + 0.0446149i
\(666\) 4.82924 + 2.05755i 0.187129 + 0.0797283i
\(667\) 28.3729 + 17.9419i 1.09860 + 0.694713i
\(668\) 3.70523 + 0.449896i 0.143360 + 0.0174070i
\(669\) 2.49664 + 5.85982i 0.0965256 + 0.226554i
\(670\) −4.14274 + 12.4090i −0.160048 + 0.479402i
\(671\) −5.89552 2.23588i −0.227594 0.0863151i
\(672\) −18.6180 1.50300i −0.718206 0.0579796i
\(673\) −2.00124 + 6.90908i −0.0771421 + 0.266326i −0.989814 0.142368i \(-0.954528\pi\)
0.912672 + 0.408694i \(0.134016\pi\)
\(674\) 23.2326 + 0.936243i 0.894887 + 0.0360627i
\(675\) 6.86730 0.264323
\(676\) 17.9059 3.43295i 0.688689 0.132036i
\(677\) −9.60833 −0.369278 −0.184639 0.982806i \(-0.559112\pi\)
−0.184639 + 0.982806i \(0.559112\pi\)
\(678\) 4.40777 + 0.177627i 0.169279 + 0.00682172i
\(679\) −7.28402 + 25.1474i −0.279535 + 0.965067i
\(680\) 43.6842 + 3.52655i 1.67521 + 0.135237i
\(681\) −18.4679 7.00396i −0.707692 0.268392i
\(682\) −2.33453 + 6.99278i −0.0893939 + 0.267768i
\(683\) −12.4078 29.1222i −0.474772 1.11433i −0.969458 0.245259i \(-0.921127\pi\)
0.494685 0.869072i \(-0.335283\pi\)
\(684\) −0.172503 0.0209456i −0.00659580 0.000800875i
\(685\) 7.46339 + 4.71956i 0.285162 + 0.180325i
\(686\) 8.68441 + 3.70008i 0.331572 + 0.141270i
\(687\) −7.03357 11.1227i −0.268347 0.424357i
\(688\) −0.0892166 + 0.235245i −0.00340135 + 0.00896862i
\(689\) −35.0401 + 0.496120i −1.33492 + 0.0189007i
\(690\) 3.68190 + 9.70838i 0.140168 + 0.369592i
\(691\) −14.4236 + 19.1943i −0.548699 + 0.730186i −0.985557 0.169345i \(-0.945835\pi\)
0.436858 + 0.899531i \(0.356091\pi\)
\(692\) −32.1392 5.22313i −1.22175 0.198554i
\(693\) 6.61981 2.82044i 0.251466 0.107140i
\(694\) −7.37168 5.08830i −0.279825 0.193149i
\(695\) −39.4720 + 22.7892i −1.49726 + 0.864443i
\(696\) 20.4578 + 9.70734i 0.775450 + 0.367956i
\(697\) 44.4546 5.39776i 1.68384 0.204455i
\(698\) −11.1587 19.3274i −0.422362 0.731553i
\(699\) −1.10279 + 1.91008i −0.0417112 + 0.0722459i
\(700\) −12.0394 + 28.2576i −0.455048 + 1.06804i
\(701\) 23.1503 + 20.5094i 0.874375 + 0.774629i 0.975443 0.220251i \(-0.0706875\pi\)
−0.101068 + 0.994880i \(0.532226\pi\)
\(702\) 2.03720 + 1.90205i 0.0768891 + 0.0717881i
\(703\) −0.629794 + 0.557949i −0.0237531 + 0.0210434i
\(704\) −2.13182 6.38557i −0.0803459 0.240665i
\(705\) −0.575719 + 14.2863i −0.0216828 + 0.538054i
\(706\) −0.913286 + 1.11857i −0.0343720 + 0.0420980i
\(707\) 12.6318 + 14.2583i 0.475066 + 0.536239i
\(708\) 4.51291 + 0.921317i 0.169606 + 0.0346252i
\(709\) −13.6289 + 3.94766i −0.511845 + 0.148258i −0.524082 0.851668i \(-0.675592\pi\)
0.0122379 + 0.999925i \(0.496104\pi\)
\(710\) 26.4133 10.0172i 0.991273 0.375940i
\(711\) −0.297067 7.37164i −0.0111409 0.276458i
\(712\) −26.8744 20.1948i −1.00716 0.756831i
\(713\) −16.1484 + 3.29671i −0.604761 + 0.123463i
\(714\) −10.5587 + 5.54164i −0.395150 + 0.207391i
\(715\) −26.4539 + 9.24988i −0.989319 + 0.345926i
\(716\) 6.51829 + 3.42106i 0.243600 + 0.127851i
\(717\) 19.3920 + 5.61697i 0.724208 + 0.209769i
\(718\) −7.76468 + 0.626830i −0.289775 + 0.0233931i
\(719\) 5.04108 24.6929i 0.188001 0.920888i −0.770859 0.637006i \(-0.780172\pi\)
0.958859 0.283882i \(-0.0916224\pi\)
\(720\) −1.23565 2.35434i −0.0460500 0.0877409i
\(721\) 20.0325 + 26.6585i 0.746051 + 0.992814i
\(722\) 7.84340 12.4033i 0.291901 0.461605i
\(723\) −19.8723 + 13.7169i −0.739060 + 0.510137i
\(724\) 1.97269 4.15736i 0.0733146 0.154507i
\(725\) 40.9567 42.6405i 1.52109 1.58363i
\(726\) −3.29439 3.16430i −0.122266 0.117438i
\(727\) 4.82999 + 39.7785i 0.179134 + 1.47530i 0.753902 + 0.656987i \(0.228169\pi\)
−0.574767 + 0.818317i \(0.694907\pi\)
\(728\) −27.6524 + 12.2470i −1.02487 + 0.453903i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) 34.3350 28.0336i 1.27079 1.03757i
\(731\) 0.315388 + 1.54487i 0.0116650 + 0.0571391i
\(732\) −1.09041 3.76454i −0.0403028 0.139141i
\(733\) −2.55564 10.3686i −0.0943947 0.382974i 0.904675 0.426103i \(-0.140114\pi\)
−0.999070 + 0.0431282i \(0.986268\pi\)
\(734\) 1.26154 15.6269i 0.0465641 0.576800i
\(735\) −1.75221 10.7818i −0.0646314 0.397693i
\(736\) 15.1436 17.0936i 0.558201 0.630079i
\(737\) −8.86139 + 6.65890i −0.326413 + 0.245284i
\(738\) 4.52601 + 5.54336i 0.166605 + 0.204054i
\(739\) 0.315494 1.94131i 0.0116056 0.0714122i −0.980601 0.196012i \(-0.937201\pi\)
0.992207 + 0.124600i \(0.0397648\pi\)
\(740\) −31.8552 7.85160i −1.17102 0.288630i
\(741\) −0.415423 + 0.164313i −0.0152609 + 0.00603620i
\(742\) 23.2643 5.73414i 0.854061 0.210507i
\(743\) 0.00828381 + 0.102613i 0.000303904 + 0.00376452i 0.996907 0.0785842i \(-0.0250399\pi\)
−0.996604 + 0.0823487i \(0.973758\pi\)
\(744\) −10.5452 + 3.52050i −0.386606 + 0.129068i
\(745\) −38.2262 39.7977i −1.40050 1.45808i
\(746\) 14.8161i 0.542454i
\(747\) −4.06028 + 3.89995i −0.148558 + 0.142692i
\(748\) 11.8562 + 9.68027i 0.433505 + 0.353946i
\(749\) 12.0441 22.9481i 0.440081 0.838505i
\(750\) 4.90808 0.797640i 0.179218 0.0291257i
\(751\) 37.1697 23.5047i 1.35634 0.857698i 0.359200 0.933261i \(-0.383050\pi\)
0.997141 + 0.0755628i \(0.0240753\pi\)
\(752\) 2.89419 1.37331i 0.105540 0.0500795i
\(753\) 0.408801 0.592251i 0.0148975 0.0215828i
\(754\) 23.9601 1.30555i 0.872575 0.0475452i
\(755\) −29.9443 43.3818i −1.08978 1.57883i
\(756\) 3.87348 + 2.23635i 0.140877 + 0.0813354i
\(757\) 3.33709 + 7.03278i 0.121289 + 0.255611i 0.955009 0.296576i \(-0.0958448\pi\)
−0.833720 + 0.552187i \(0.813794\pi\)
\(758\) 11.2108 + 3.74271i 0.407194 + 0.135941i
\(759\) −2.10538 + 8.54185i −0.0764204 + 0.310050i
\(760\) −1.12171 + 0.0452034i −0.0406887 + 0.00163970i
\(761\) 32.8515 1.32387i 1.19087 0.0479903i 0.563098 0.826390i \(-0.309609\pi\)
0.627769 + 0.778400i \(0.283968\pi\)
\(762\) 2.27055 9.21198i 0.0822533 0.333715i
\(763\) −2.99096 0.998529i −0.108280 0.0361492i
\(764\) 13.4287 + 28.3004i 0.485834 + 1.02387i
\(765\) −14.4308 8.33162i −0.521747 0.301231i
\(766\) 9.96911 + 14.4427i 0.360199 + 0.521838i
\(767\) 11.3261 3.45518i 0.408962 0.124759i
\(768\) 7.52079 10.8957i 0.271383 0.393166i
\(769\) −13.3914 + 6.35429i −0.482905 + 0.229141i −0.654552 0.756017i \(-0.727143\pi\)
0.171646 + 0.985159i \(0.445091\pi\)
\(770\) 16.1950 10.2411i 0.583626 0.369063i
\(771\) −22.7259 + 3.69332i −0.818453 + 0.133012i
\(772\) 2.81781 5.36889i 0.101415 0.193230i
\(773\) 0.497639 + 0.406310i