Properties

Label 280.2.bj.f.171.7
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.7
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.542272 - 1.30612i) q^{2} +(-0.908317 - 0.524417i) q^{3} +(-1.41188 - 1.41654i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.17750 + 0.901991i) q^{6} +(2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 - 1.64540i) q^{9} +O(q^{10})\) \(q+(0.542272 - 1.30612i) q^{2} +(-0.908317 - 0.524417i) q^{3} +(-1.41188 - 1.41654i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.17750 + 0.901991i) q^{6} +(2.14799 - 1.54472i) q^{7} +(-2.61579 + 1.07593i) q^{8} +(-0.949974 - 1.64540i) q^{9} +(-1.40227 + 0.183437i) q^{10} +(-1.17590 + 2.03673i) q^{11} +(0.539577 + 2.02708i) q^{12} -1.21209 q^{13} +(-0.852784 - 3.64318i) q^{14} +1.04883i q^{15} +(-0.0131831 + 3.99998i) q^{16} +(-4.23538 - 2.44530i) q^{17} +(-2.66423 + 0.348520i) q^{18} +(-2.21189 + 1.27704i) q^{19} +(-0.520821 + 1.93100i) q^{20} +(-2.76113 + 0.276650i) q^{21} +(2.02254 + 2.64033i) q^{22} +(7.59015 - 4.38218i) q^{23} +(2.94021 + 0.394481i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-0.657285 + 1.58314i) q^{26} +5.13923i q^{27} +(-5.22086 - 0.861760i) q^{28} -5.21449i q^{29} +(1.36990 + 0.568754i) q^{30} +(1.68841 - 2.92441i) q^{31} +(5.21729 + 2.18630i) q^{32} +(2.13619 - 1.23333i) q^{33} +(-5.49058 + 4.20589i) q^{34} +(-2.41176 - 1.08785i) q^{35} +(-0.989532 + 3.66879i) q^{36} +(6.16385 - 3.55870i) q^{37} +(0.468510 + 3.58149i) q^{38} +(1.10097 + 0.635642i) q^{39} +(2.23968 + 1.72738i) q^{40} -3.18809i q^{41} +(-1.13595 + 3.75638i) q^{42} +11.6101 q^{43} +(4.54535 - 1.20990i) q^{44} +(-0.949974 + 1.64540i) q^{45} +(-1.60770 - 12.2900i) q^{46} +(5.01045 + 8.67836i) q^{47} +(2.10963 - 3.62633i) q^{48} +(2.22771 - 6.63606i) q^{49} +(0.859994 + 1.12268i) q^{50} +(2.56471 + 4.44221i) q^{51} +(1.71133 + 1.71698i) q^{52} +(-7.03102 - 4.05936i) q^{53} +(6.71244 + 2.78686i) q^{54} +2.35181 q^{55} +(-3.95669 + 6.35174i) q^{56} +2.67880 q^{57} +(-6.81073 - 2.82767i) q^{58} +(-9.90904 - 5.72099i) q^{59} +(1.48572 - 1.48083i) q^{60} +(0.560848 + 0.971417i) q^{61} +(-2.90404 - 3.79108i) q^{62} +(-4.58221 - 2.06687i) q^{63} +(5.68475 - 5.62882i) q^{64} +(0.606047 + 1.04970i) q^{65} +(-0.452475 - 3.45891i) q^{66} +(0.386838 - 0.670023i) q^{67} +(2.51599 + 9.45207i) q^{68} -9.19235 q^{69} +(-2.72869 + 2.56012i) q^{70} +2.53216i q^{71} +(4.25527 + 3.28193i) q^{72} +(11.1488 + 6.43675i) q^{73} +(-1.30559 - 9.98048i) q^{74} +(0.908317 - 0.524417i) q^{75} +(4.93190 + 1.33021i) q^{76} +(0.620335 + 6.19130i) q^{77} +(1.42725 - 1.09330i) q^{78} +(-1.34425 + 0.776104i) q^{79} +(3.47067 - 1.98857i) q^{80} +(-0.154821 + 0.268158i) q^{81} +(-4.16402 - 1.72882i) q^{82} -4.47506i q^{83} +(4.29027 + 3.52066i) q^{84} +4.89060i q^{85} +(6.29585 - 15.1642i) q^{86} +(-2.73457 + 4.73641i) q^{87} +(0.884549 - 6.59285i) q^{88} +(-9.58219 + 5.53228i) q^{89} +(1.63394 + 2.13303i) q^{90} +(-2.60356 + 1.87234i) q^{91} +(-16.9239 - 4.56466i) q^{92} +(-3.06722 + 1.77086i) q^{93} +(14.0520 - 1.83820i) q^{94} +(2.21189 + 1.27704i) q^{95} +(-3.59242 - 4.72189i) q^{96} -13.3588i q^{97} +(-7.45945 - 6.50820i) q^{98} +4.46831 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.542272 1.30612i 0.383445 0.923564i
\(3\) −0.908317 0.524417i −0.524417 0.302772i 0.214323 0.976763i \(-0.431245\pi\)
−0.738740 + 0.673991i \(0.764579\pi\)
\(4\) −1.41188 1.41654i −0.705941 0.708271i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −1.17750 + 0.901991i −0.480714 + 0.368236i
\(7\) 2.14799 1.54472i 0.811863 0.583848i
\(8\) −2.61579 + 1.07593i −0.924823 + 0.380399i
\(9\) −0.949974 1.64540i −0.316658 0.548468i
\(10\) −1.40227 + 0.183437i −0.443436 + 0.0580077i
\(11\) −1.17590 + 2.03673i −0.354549 + 0.614096i −0.987041 0.160471i \(-0.948699\pi\)
0.632492 + 0.774567i \(0.282032\pi\)
\(12\) 0.539577 + 2.02708i 0.155762 + 0.585169i
\(13\) −1.21209 −0.336174 −0.168087 0.985772i \(-0.553759\pi\)
−0.168087 + 0.985772i \(0.553759\pi\)
\(14\) −0.852784 3.64318i −0.227916 0.973681i
\(15\) 1.04883i 0.270808i
\(16\) −0.0131831 + 3.99998i −0.00329577 + 0.999995i
\(17\) −4.23538 2.44530i −1.02723 0.593072i −0.111041 0.993816i \(-0.535418\pi\)
−0.916190 + 0.400744i \(0.868752\pi\)
\(18\) −2.66423 + 0.348520i −0.627966 + 0.0821469i
\(19\) −2.21189 + 1.27704i −0.507442 + 0.292972i −0.731782 0.681539i \(-0.761311\pi\)
0.224339 + 0.974511i \(0.427978\pi\)
\(20\) −0.520821 + 1.93100i −0.116459 + 0.431784i
\(21\) −2.76113 + 0.276650i −0.602528 + 0.0603700i
\(22\) 2.02254 + 2.64033i 0.431207 + 0.562920i
\(23\) 7.59015 4.38218i 1.58266 0.913747i 0.588186 0.808726i \(-0.299842\pi\)
0.994470 0.105021i \(-0.0334909\pi\)
\(24\) 2.94021 + 0.394481i 0.600167 + 0.0805232i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −0.657285 + 1.58314i −0.128904 + 0.310478i
\(27\) 5.13923i 0.989045i
\(28\) −5.22086 0.861760i −0.986650 0.162857i
\(29\) 5.21449i 0.968307i −0.874983 0.484153i \(-0.839128\pi\)
0.874983 0.484153i \(-0.160872\pi\)
\(30\) 1.36990 + 0.568754i 0.250108 + 0.103840i
\(31\) 1.68841 2.92441i 0.303247 0.525239i −0.673623 0.739075i \(-0.735263\pi\)
0.976869 + 0.213837i \(0.0685961\pi\)
\(32\) 5.21729 + 2.18630i 0.922295 + 0.386486i
\(33\) 2.13619 1.23333i 0.371863 0.214695i
\(34\) −5.49058 + 4.20589i −0.941626 + 0.721303i
\(35\) −2.41176 1.08785i −0.407661 0.183881i
\(36\) −0.989532 + 3.66879i −0.164922 + 0.611465i
\(37\) 6.16385 3.55870i 1.01333 0.585046i 0.101165 0.994870i \(-0.467743\pi\)
0.912165 + 0.409823i \(0.134410\pi\)
\(38\) 0.468510 + 3.58149i 0.0760023 + 0.580994i
\(39\) 1.10097 + 0.635642i 0.176296 + 0.101784i
\(40\) 2.23968 + 1.72738i 0.354124 + 0.273123i
\(41\) 3.18809i 0.497897i −0.968517 0.248948i \(-0.919915\pi\)
0.968517 0.248948i \(-0.0800849\pi\)
\(42\) −1.13595 + 3.75638i −0.175280 + 0.579621i
\(43\) 11.6101 1.77053 0.885264 0.465089i \(-0.153978\pi\)
0.885264 + 0.465089i \(0.153978\pi\)
\(44\) 4.54535 1.20990i 0.685237 0.182399i
\(45\) −0.949974 + 1.64540i −0.141614 + 0.245282i
\(46\) −1.60770 12.2900i −0.237043 1.81205i
\(47\) 5.01045 + 8.67836i 0.730849 + 1.26587i 0.956521 + 0.291665i \(0.0942092\pi\)
−0.225671 + 0.974204i \(0.572457\pi\)
\(48\) 2.10963 3.62633i 0.304499 0.523416i
\(49\) 2.22771 6.63606i 0.318244 0.948009i
\(50\) 0.859994 + 1.12268i 0.121622 + 0.158771i
\(51\) 2.56471 + 4.44221i 0.359132 + 0.622034i
\(52\) 1.71133 + 1.71698i 0.237319 + 0.238103i
\(53\) −7.03102 4.05936i −0.965784 0.557596i −0.0678359 0.997696i \(-0.521609\pi\)
−0.897948 + 0.440101i \(0.854943\pi\)
\(54\) 6.71244 + 2.78686i 0.913447 + 0.379244i
\(55\) 2.35181 0.317118
\(56\) −3.95669 + 6.35174i −0.528735 + 0.848787i
\(57\) 2.67880 0.354815
\(58\) −6.81073 2.82767i −0.894293 0.371292i
\(59\) −9.90904 5.72099i −1.29005 0.744809i −0.311385 0.950284i \(-0.600793\pi\)
−0.978662 + 0.205475i \(0.934126\pi\)
\(60\) 1.48572 1.48083i 0.191805 0.191174i
\(61\) 0.560848 + 0.971417i 0.0718092 + 0.124377i 0.899694 0.436521i \(-0.143789\pi\)
−0.827885 + 0.560898i \(0.810456\pi\)
\(62\) −2.90404 3.79108i −0.368813 0.481468i
\(63\) −4.58221 2.06687i −0.577304 0.260401i
\(64\) 5.68475 5.62882i 0.710594 0.703602i
\(65\) 0.606047 + 1.04970i 0.0751709 + 0.130200i
\(66\) −0.452475 3.45891i −0.0556959 0.425763i
\(67\) 0.386838 0.670023i 0.0472598 0.0818563i −0.841428 0.540369i \(-0.818284\pi\)
0.888688 + 0.458513i \(0.151618\pi\)
\(68\) 2.51599 + 9.45207i 0.305108 + 1.14623i
\(69\) −9.19235 −1.10663
\(70\) −2.72869 + 2.56012i −0.326141 + 0.305993i
\(71\) 2.53216i 0.300512i 0.988647 + 0.150256i \(0.0480097\pi\)
−0.988647 + 0.150256i \(0.951990\pi\)
\(72\) 4.25527 + 3.28193i 0.501489 + 0.386779i
\(73\) 11.1488 + 6.43675i 1.30487 + 0.753365i 0.981234 0.192819i \(-0.0617629\pi\)
0.323631 + 0.946183i \(0.395096\pi\)
\(74\) −1.30559 9.98048i −0.151772 1.16021i
\(75\) 0.908317 0.524417i 0.104883 0.0605545i
\(76\) 4.93190 + 1.33021i 0.565728 + 0.152586i
\(77\) 0.620335 + 6.19130i 0.0706937 + 0.705565i
\(78\) 1.42725 1.09330i 0.161604 0.123792i
\(79\) −1.34425 + 0.776104i −0.151240 + 0.0873186i −0.573710 0.819058i \(-0.694496\pi\)
0.422470 + 0.906377i \(0.361163\pi\)
\(80\) 3.47067 1.98857i 0.388033 0.222329i
\(81\) −0.154821 + 0.268158i −0.0172023 + 0.0297953i
\(82\) −4.16402 1.72882i −0.459839 0.190916i
\(83\) 4.47506i 0.491202i −0.969371 0.245601i \(-0.921015\pi\)
0.969371 0.245601i \(-0.0789853\pi\)
\(84\) 4.29027 + 3.52066i 0.468107 + 0.384135i
\(85\) 4.89060i 0.530460i
\(86\) 6.29585 15.1642i 0.678899 1.63520i
\(87\) −2.73457 + 4.73641i −0.293176 + 0.507796i
\(88\) 0.884549 6.59285i 0.0942933 0.702800i
\(89\) −9.58219 + 5.53228i −1.01571 + 0.586420i −0.912858 0.408276i \(-0.866130\pi\)
−0.102851 + 0.994697i \(0.532797\pi\)
\(90\) 1.63394 + 2.13303i 0.172233 + 0.224841i
\(91\) −2.60356 + 1.87234i −0.272928 + 0.196275i
\(92\) −16.9239 4.56466i −1.76444 0.475898i
\(93\) −3.06722 + 1.77086i −0.318055 + 0.183629i
\(94\) 14.0520 1.83820i 1.44935 0.189596i
\(95\) 2.21189 + 1.27704i 0.226935 + 0.131021i
\(96\) −3.59242 4.72189i −0.366650 0.481925i
\(97\) 13.3588i 1.35638i −0.734888 0.678189i \(-0.762765\pi\)
0.734888 0.678189i \(-0.237235\pi\)
\(98\) −7.45945 6.50820i −0.753518 0.657427i
\(99\) 4.46831 0.449082
\(100\) 1.93270 0.514454i 0.193270 0.0514454i
\(101\) −0.799019 + 1.38394i −0.0795054 + 0.137707i −0.903037 0.429564i \(-0.858667\pi\)
0.823531 + 0.567271i \(0.192001\pi\)
\(102\) 7.19282 0.940924i 0.712195 0.0931654i
\(103\) 1.77318 + 3.07124i 0.174717 + 0.302618i 0.940063 0.341000i \(-0.110766\pi\)
−0.765346 + 0.643619i \(0.777432\pi\)
\(104\) 3.17059 1.30413i 0.310902 0.127880i
\(105\) 1.62015 + 2.25288i 0.158110 + 0.219859i
\(106\) −9.11472 + 6.98205i −0.885300 + 0.678156i
\(107\) 4.99959 + 8.65954i 0.483329 + 0.837150i 0.999817 0.0191446i \(-0.00609429\pi\)
−0.516488 + 0.856294i \(0.672761\pi\)
\(108\) 7.27994 7.25598i 0.700512 0.698207i
\(109\) 4.17287 + 2.40921i 0.399689 + 0.230760i 0.686350 0.727272i \(-0.259212\pi\)
−0.286661 + 0.958032i \(0.592545\pi\)
\(110\) 1.27532 3.07174i 0.121597 0.292879i
\(111\) −7.46497 −0.708543
\(112\) 6.15051 + 8.61227i 0.581169 + 0.813783i
\(113\) 8.76609 0.824644 0.412322 0.911038i \(-0.364718\pi\)
0.412322 + 0.911038i \(0.364718\pi\)
\(114\) 1.45264 3.49882i 0.136052 0.327694i
\(115\) −7.59015 4.38218i −0.707785 0.408640i
\(116\) −7.38655 + 7.36224i −0.685824 + 0.683567i
\(117\) 1.15146 + 1.99438i 0.106452 + 0.184381i
\(118\) −12.8457 + 9.84003i −1.18254 + 0.905848i
\(119\) −12.8748 + 1.28999i −1.18024 + 0.118253i
\(120\) −1.12847 2.74353i −0.103015 0.250449i
\(121\) 2.73450 + 4.73629i 0.248591 + 0.430571i
\(122\) 1.57292 0.205760i 0.142405 0.0186286i
\(123\) −1.67189 + 2.89580i −0.150749 + 0.261105i
\(124\) −6.52637 + 1.73721i −0.586085 + 0.156006i
\(125\) 1.00000 0.0894427
\(126\) −5.18438 + 4.86410i −0.461861 + 0.433328i
\(127\) 2.51008i 0.222734i −0.993779 0.111367i \(-0.964477\pi\)
0.993779 0.111367i \(-0.0355229\pi\)
\(128\) −4.26921 10.4773i −0.377349 0.926071i
\(129\) −10.5457 6.08855i −0.928495 0.536067i
\(130\) 1.69968 0.222342i 0.149072 0.0195007i
\(131\) 4.72620 2.72867i 0.412930 0.238405i −0.279118 0.960257i \(-0.590042\pi\)
0.692048 + 0.721852i \(0.256709\pi\)
\(132\) −4.76311 1.28469i −0.414575 0.111818i
\(133\) −2.77846 + 6.15980i −0.240923 + 0.534122i
\(134\) −0.665356 0.868590i −0.0574780 0.0750348i
\(135\) 4.45070 2.56962i 0.383056 0.221157i
\(136\) 13.7099 + 1.83942i 1.17561 + 0.157729i
\(137\) −7.53495 + 13.0509i −0.643754 + 1.11502i 0.340833 + 0.940124i \(0.389291\pi\)
−0.984588 + 0.174891i \(0.944043\pi\)
\(138\) −4.98476 + 12.0063i −0.424331 + 1.02204i
\(139\) 15.2747i 1.29558i 0.761819 + 0.647789i \(0.224306\pi\)
−0.761819 + 0.647789i \(0.775694\pi\)
\(140\) 1.86412 + 4.95228i 0.157547 + 0.418544i
\(141\) 10.5103i 0.885124i
\(142\) 3.30729 + 1.37312i 0.277542 + 0.115230i
\(143\) 1.42531 2.46870i 0.119190 0.206443i
\(144\) 6.59410 3.77818i 0.549508 0.314849i
\(145\) −4.51588 + 2.60725i −0.375024 + 0.216520i
\(146\) 14.4528 11.0711i 1.19612 0.916253i
\(147\) −5.50353 + 4.85940i −0.453923 + 0.400797i
\(148\) −13.7437 3.70689i −1.12972 0.304704i
\(149\) −3.67599 + 2.12234i −0.301149 + 0.173869i −0.642959 0.765901i \(-0.722293\pi\)
0.341810 + 0.939769i \(0.388960\pi\)
\(150\) −0.192395 1.47074i −0.0157089 0.120086i
\(151\) 1.03731 + 0.598892i 0.0844152 + 0.0487371i 0.541613 0.840628i \(-0.317814\pi\)
−0.457198 + 0.889365i \(0.651147\pi\)
\(152\) 4.41185 5.72030i 0.357848 0.463977i
\(153\) 9.29188i 0.751204i
\(154\) 8.42296 + 2.54714i 0.678741 + 0.205255i
\(155\) −3.37681 −0.271232
\(156\) −0.654018 2.45702i −0.0523633 0.196719i
\(157\) −5.51369 + 9.54999i −0.440040 + 0.762172i −0.997692 0.0679028i \(-0.978369\pi\)
0.557652 + 0.830075i \(0.311703\pi\)
\(158\) 0.284732 + 2.17661i 0.0226521 + 0.173162i
\(159\) 4.25759 + 7.37437i 0.337649 + 0.584825i
\(160\) −0.715256 5.61145i −0.0565460 0.443624i
\(161\) 9.53434 21.1375i 0.751411 1.66587i
\(162\) 0.266290 + 0.347629i 0.0209217 + 0.0273123i
\(163\) −6.36400 11.0228i −0.498467 0.863370i 0.501532 0.865139i \(-0.332770\pi\)
−0.999998 + 0.00176946i \(0.999437\pi\)
\(164\) −4.51607 + 4.50121i −0.352646 + 0.351485i
\(165\) −2.13619 1.23333i −0.166302 0.0960145i
\(166\) −5.84495 2.42670i −0.453656 0.188349i
\(167\) −15.0560 −1.16507 −0.582535 0.812805i \(-0.697939\pi\)
−0.582535 + 0.812805i \(0.697939\pi\)
\(168\) 6.92489 3.69444i 0.534267 0.285032i
\(169\) −11.5308 −0.886987
\(170\) 6.38769 + 2.65204i 0.489914 + 0.203402i
\(171\) 4.20247 + 2.42630i 0.321371 + 0.185544i
\(172\) −16.3921 16.4462i −1.24989 1.25401i
\(173\) −6.09623 10.5590i −0.463488 0.802784i 0.535644 0.844444i \(-0.320069\pi\)
−0.999132 + 0.0416597i \(0.986735\pi\)
\(174\) 4.70342 + 6.14009i 0.356566 + 0.465479i
\(175\) 0.263769 + 2.63257i 0.0199391 + 0.199004i
\(176\) −8.13136 4.73044i −0.612924 0.356571i
\(177\) 6.00037 + 10.3929i 0.451015 + 0.781181i
\(178\) 2.02964 + 15.5155i 0.152128 + 1.16293i
\(179\) −0.698646 + 1.21009i −0.0522192 + 0.0904464i −0.890953 0.454095i \(-0.849963\pi\)
0.838734 + 0.544541i \(0.183296\pi\)
\(180\) 3.67203 0.977435i 0.273697 0.0728537i
\(181\) 25.6584 1.90717 0.953587 0.301118i \(-0.0973599\pi\)
0.953587 + 0.301118i \(0.0973599\pi\)
\(182\) 1.03365 + 4.41588i 0.0766196 + 0.327326i
\(183\) 1.17647i 0.0869674i
\(184\) −15.1394 + 19.6293i −1.11609 + 1.44709i
\(185\) −6.16385 3.55870i −0.453175 0.261641i
\(186\) 0.649680 + 4.96643i 0.0476369 + 0.364156i
\(187\) 9.96081 5.75088i 0.728407 0.420546i
\(188\) 5.21910 19.3503i 0.380642 1.41127i
\(189\) 7.93865 + 11.0390i 0.577452 + 0.802970i
\(190\) 2.86740 2.19648i 0.208023 0.159350i
\(191\) −6.13554 + 3.54235i −0.443952 + 0.256316i −0.705273 0.708936i \(-0.749175\pi\)
0.261321 + 0.965252i \(0.415842\pi\)
\(192\) −8.11540 + 2.13157i −0.585679 + 0.153833i
\(193\) −9.51108 + 16.4737i −0.684622 + 1.18580i 0.288933 + 0.957349i \(0.406699\pi\)
−0.973555 + 0.228451i \(0.926634\pi\)
\(194\) −17.4481 7.24409i −1.25270 0.520095i
\(195\) 1.27128i 0.0910386i
\(196\) −12.5455 + 6.21369i −0.896108 + 0.443835i
\(197\) 25.7446i 1.83423i −0.398626 0.917113i \(-0.630513\pi\)
0.398626 0.917113i \(-0.369487\pi\)
\(198\) 2.42304 5.83614i 0.172198 0.414756i
\(199\) 3.38261 5.85886i 0.239787 0.415323i −0.720866 0.693074i \(-0.756256\pi\)
0.960653 + 0.277751i \(0.0895891\pi\)
\(200\) 0.376114 2.80331i 0.0265953 0.198224i
\(201\) −0.702743 + 0.405729i −0.0495676 + 0.0286179i
\(202\) 1.37430 + 1.79409i 0.0966956 + 0.126231i
\(203\) −8.05491 11.2007i −0.565344 0.786132i
\(204\) 2.67151 9.90490i 0.187043 0.693482i
\(205\) −2.76097 + 1.59405i −0.192835 + 0.111333i
\(206\) 4.97295 0.650533i 0.346482 0.0453248i
\(207\) −14.4209 8.32590i −1.00232 0.578690i
\(208\) 0.0159791 4.84835i 0.00110795 0.336172i
\(209\) 6.00669i 0.415491i
\(210\) 3.82109 0.894429i 0.263680 0.0617215i
\(211\) 14.7573 1.01593 0.507967 0.861377i \(-0.330397\pi\)
0.507967 + 0.861377i \(0.330397\pi\)
\(212\) 4.17671 + 15.6911i 0.286857 + 1.07767i
\(213\) 1.32791 2.30000i 0.0909866 0.157593i
\(214\) 14.0215 1.83422i 0.958491 0.125384i
\(215\) −5.80506 10.0547i −0.395902 0.685723i
\(216\) −5.52945 13.4432i −0.376232 0.914692i
\(217\) −0.890699 8.88969i −0.0604646 0.603472i
\(218\) 5.40954 4.14381i 0.366380 0.280654i
\(219\) −6.75108 11.6932i −0.456196 0.790154i
\(220\) −3.32048 3.33144i −0.223866 0.224605i
\(221\) 5.13368 + 2.96393i 0.345329 + 0.199376i
\(222\) −4.04805 + 9.75012i −0.271687 + 0.654385i
\(223\) 14.4522 0.967791 0.483896 0.875126i \(-0.339221\pi\)
0.483896 + 0.875126i \(0.339221\pi\)
\(224\) 14.5839 3.36309i 0.974427 0.224706i
\(225\) 1.89995 0.126663
\(226\) 4.75361 11.4495i 0.316205 0.761611i
\(227\) −3.97850 2.29699i −0.264062 0.152456i 0.362124 0.932130i \(-0.382052\pi\)
−0.626186 + 0.779673i \(0.715385\pi\)
\(228\) −3.78214 3.79463i −0.250478 0.251305i
\(229\) 6.54085 + 11.3291i 0.432232 + 0.748647i 0.997065 0.0765577i \(-0.0243929\pi\)
−0.564833 + 0.825205i \(0.691060\pi\)
\(230\) −9.83956 + 7.53729i −0.648801 + 0.496994i
\(231\) 2.68336 5.94898i 0.176552 0.391414i
\(232\) 5.61043 + 13.6400i 0.368342 + 0.895512i
\(233\) 10.4329 + 18.0703i 0.683483 + 1.18383i 0.973911 + 0.226931i \(0.0728691\pi\)
−0.290428 + 0.956897i \(0.593798\pi\)
\(234\) 3.22930 0.422439i 0.211106 0.0276157i
\(235\) 5.01045 8.67836i 0.326846 0.566114i
\(236\) 5.88637 + 22.1139i 0.383170 + 1.43949i
\(237\) 1.62801 0.105751
\(238\) −5.29680 + 17.5156i −0.343340 + 1.13537i
\(239\) 2.94959i 0.190793i −0.995439 0.0953964i \(-0.969588\pi\)
0.995439 0.0953964i \(-0.0304119\pi\)
\(240\) −4.19531 0.0138269i −0.270806 0.000892521i
\(241\) 0.798690 + 0.461124i 0.0514481 + 0.0297036i 0.525503 0.850791i \(-0.323877\pi\)
−0.474055 + 0.880495i \(0.657210\pi\)
\(242\) 7.66898 1.00321i 0.492981 0.0644890i
\(243\) 13.6334 7.87123i 0.874581 0.504940i
\(244\) 0.584203 2.16599i 0.0373998 0.138663i
\(245\) −6.86085 + 1.38878i −0.438324 + 0.0887260i
\(246\) 2.87563 + 3.75400i 0.183344 + 0.239346i
\(247\) 2.68102 1.54789i 0.170589 0.0984896i
\(248\) −1.27007 + 9.46625i −0.0806494 + 0.601107i
\(249\) −2.34680 + 4.06478i −0.148722 + 0.257595i
\(250\) 0.542272 1.30612i 0.0342963 0.0826061i
\(251\) 9.30464i 0.587304i 0.955912 + 0.293652i \(0.0948706\pi\)
−0.955912 + 0.293652i \(0.905129\pi\)
\(252\) 3.54174 + 9.40907i 0.223108 + 0.592715i
\(253\) 20.6121i 1.29587i
\(254\) −3.27846 1.36115i −0.205709 0.0854060i
\(255\) 2.56471 4.44221i 0.160609 0.278182i
\(256\) −15.9997 0.105464i −0.999978 0.00659151i
\(257\) 26.0684 15.0506i 1.62610 0.938832i 0.640865 0.767654i \(-0.278576\pi\)
0.985240 0.171178i \(-0.0547575\pi\)
\(258\) −13.6710 + 10.4722i −0.851118 + 0.651972i
\(259\) 7.74269 17.1654i 0.481107 1.06661i
\(260\) 0.631284 2.34055i 0.0391506 0.145155i
\(261\) −8.57994 + 4.95363i −0.531085 + 0.306622i
\(262\) −1.00108 7.65265i −0.0618467 0.472782i
\(263\) 15.2475 + 8.80316i 0.940202 + 0.542826i 0.890024 0.455914i \(-0.150688\pi\)
0.0501785 + 0.998740i \(0.484021\pi\)
\(264\) −4.26085 + 5.52452i −0.262237 + 0.340011i
\(265\) 8.11872i 0.498729i
\(266\) 6.53873 + 6.96928i 0.400915 + 0.427314i
\(267\) 11.6049 0.710207
\(268\) −1.49528 + 0.398020i −0.0913390 + 0.0243130i
\(269\) 4.10363 7.10769i 0.250202 0.433363i −0.713379 0.700778i \(-0.752836\pi\)
0.963581 + 0.267415i \(0.0861695\pi\)
\(270\) −0.942723 7.20657i −0.0573723 0.438578i
\(271\) −7.40183 12.8204i −0.449629 0.778781i 0.548732 0.835998i \(-0.315111\pi\)
−0.998362 + 0.0572171i \(0.981777\pi\)
\(272\) 9.83698 16.9092i 0.596455 1.02527i
\(273\) 3.34675 0.335326i 0.202554 0.0202948i
\(274\) 12.9600 + 16.9187i 0.782944 + 1.02209i
\(275\) −1.17590 2.03673i −0.0709097 0.122819i
\(276\) 12.9785 + 13.0213i 0.781214 + 0.783793i
\(277\) 5.53090 + 3.19327i 0.332320 + 0.191865i 0.656870 0.754003i \(-0.271880\pi\)
−0.324551 + 0.945868i \(0.605213\pi\)
\(278\) 19.9505 + 8.28302i 1.19655 + 0.496783i
\(279\) −6.41577 −0.384102
\(280\) 7.47911 + 0.250721i 0.446963 + 0.0149835i
\(281\) −12.2559 −0.731128 −0.365564 0.930786i \(-0.619124\pi\)
−0.365564 + 0.930786i \(0.619124\pi\)
\(282\) −13.7276 5.69943i −0.817468 0.339396i
\(283\) −14.5951 8.42649i −0.867589 0.500903i −0.00104298 0.999999i \(-0.500332\pi\)
−0.866546 + 0.499096i \(0.833665\pi\)
\(284\) 3.58691 3.57510i 0.212844 0.212143i
\(285\) −1.33940 2.31990i −0.0793391 0.137419i
\(286\) −2.45151 3.20033i −0.144961 0.189239i
\(287\) −4.92470 6.84799i −0.290696 0.404224i
\(288\) −1.35895 10.6615i −0.0800768 0.628233i
\(289\) 3.45898 + 5.99113i 0.203469 + 0.352419i
\(290\) 0.956528 + 7.31210i 0.0561693 + 0.429382i
\(291\) −7.00556 + 12.1340i −0.410673 + 0.711307i
\(292\) −6.62282 24.8806i −0.387571 1.45603i
\(293\) 27.0419 1.57980 0.789902 0.613233i \(-0.210131\pi\)
0.789902 + 0.613233i \(0.210131\pi\)
\(294\) 3.36253 + 9.82337i 0.196107 + 0.572910i
\(295\) 11.4420i 0.666178i
\(296\) −12.2944 + 15.9407i −0.714600 + 0.926533i
\(297\) −10.4672 6.04325i −0.607369 0.350665i
\(298\) 0.778628 + 5.95216i 0.0451047 + 0.344799i
\(299\) −9.19997 + 5.31161i −0.532048 + 0.307178i
\(300\) −2.02529 0.546255i −0.116930 0.0315380i
\(301\) 24.9384 17.9343i 1.43743 1.03372i
\(302\) 1.34473 1.03009i 0.0773804 0.0592748i
\(303\) 1.45153 0.838038i 0.0833879 0.0481441i
\(304\) −5.07895 8.86435i −0.291298 0.508405i
\(305\) 0.560848 0.971417i 0.0321141 0.0556232i
\(306\) 12.1363 + 5.03873i 0.693785 + 0.288045i
\(307\) 3.32341i 0.189677i −0.995493 0.0948386i \(-0.969766\pi\)
0.995493 0.0948386i \(-0.0302335\pi\)
\(308\) 7.89440 9.62012i 0.449825 0.548157i
\(309\) 3.71955i 0.211598i
\(310\) −1.83115 + 4.41051i −0.104002 + 0.250500i
\(311\) −17.2937 + 29.9536i −0.980637 + 1.69851i −0.320723 + 0.947173i \(0.603926\pi\)
−0.659915 + 0.751340i \(0.729408\pi\)
\(312\) −3.56380 0.478148i −0.201761 0.0270698i
\(313\) −12.5334 + 7.23619i −0.708432 + 0.409014i −0.810480 0.585766i \(-0.800794\pi\)
0.102048 + 0.994779i \(0.467461\pi\)
\(314\) 9.48348 + 12.3802i 0.535184 + 0.698656i
\(315\) 0.501147 + 5.00174i 0.0282365 + 0.281816i
\(316\) 2.99731 + 0.808423i 0.168612 + 0.0454773i
\(317\) 13.1460 7.58984i 0.738352 0.426288i −0.0831178 0.996540i \(-0.526488\pi\)
0.821470 + 0.570252i \(0.193154\pi\)
\(318\) 11.9406 1.56200i 0.669593 0.0875924i
\(319\) 10.6205 + 6.13174i 0.594633 + 0.343312i
\(320\) −7.71708 2.10873i −0.431398 0.117882i
\(321\) 10.4875i 0.585354i
\(322\) −22.4378 23.9152i −1.25041 1.33274i
\(323\) 12.4909 0.695014
\(324\) 0.598446 0.159297i 0.0332470 0.00884981i
\(325\) 0.606047 1.04970i 0.0336174 0.0582271i
\(326\) −17.8480 + 2.33478i −0.988512 + 0.129312i
\(327\) −2.52686 4.37665i −0.139736 0.242029i
\(328\) 3.43016 + 8.33939i 0.189399 + 0.460466i
\(329\) 24.1680 + 10.9013i 1.33242 + 0.601007i
\(330\) −2.76927 + 2.12131i −0.152443 + 0.116774i
\(331\) 8.23079 + 14.2562i 0.452405 + 0.783589i 0.998535 0.0541118i \(-0.0172327\pi\)
−0.546130 + 0.837701i \(0.683899\pi\)
\(332\) −6.33912 + 6.31826i −0.347904 + 0.346759i
\(333\) −11.7110 6.76134i −0.641758 0.370519i
\(334\) −8.16447 + 19.6649i −0.446740 + 1.07602i
\(335\) −0.773676 −0.0422704
\(336\) −1.07019 11.0481i −0.0583838 0.602723i
\(337\) −28.2883 −1.54096 −0.770482 0.637462i \(-0.779984\pi\)
−0.770482 + 0.637462i \(0.779984\pi\)
\(338\) −6.25285 + 15.0606i −0.340110 + 0.819189i
\(339\) −7.96238 4.59708i −0.432457 0.249679i
\(340\) 6.92774 6.90494i 0.375709 0.374473i
\(341\) 3.97081 + 6.87764i 0.215031 + 0.372445i
\(342\) 5.44792 4.17321i 0.294590 0.225661i
\(343\) −5.46574 17.6954i −0.295122 0.955459i
\(344\) −30.3697 + 12.4917i −1.63742 + 0.673506i
\(345\) 4.59617 + 7.96081i 0.247450 + 0.428595i
\(346\) −17.0971 + 2.23654i −0.919144 + 0.120237i
\(347\) 0.490872 0.850215i 0.0263514 0.0456420i −0.852549 0.522647i \(-0.824944\pi\)
0.878900 + 0.477005i \(0.158278\pi\)
\(348\) 10.5702 2.81362i 0.566623 0.150826i
\(349\) 25.8547 1.38397 0.691985 0.721912i \(-0.256736\pi\)
0.691985 + 0.721912i \(0.256736\pi\)
\(350\) 3.58148 + 1.08306i 0.191438 + 0.0578918i
\(351\) 6.22923i 0.332492i
\(352\) −10.5879 + 8.05532i −0.564338 + 0.429350i
\(353\) 11.4688 + 6.62150i 0.610421 + 0.352427i 0.773130 0.634247i \(-0.218690\pi\)
−0.162709 + 0.986674i \(0.552023\pi\)
\(354\) 16.8282 2.20137i 0.894410 0.117002i
\(355\) 2.19291 1.26608i 0.116388 0.0671965i
\(356\) 21.3656 + 5.76265i 1.13238 + 0.305420i
\(357\) 12.3709 + 5.58007i 0.654739 + 0.295329i
\(358\) 1.20166 + 1.56871i 0.0635098 + 0.0829090i
\(359\) 4.64380 2.68110i 0.245090 0.141503i −0.372424 0.928063i \(-0.621473\pi\)
0.617514 + 0.786560i \(0.288140\pi\)
\(360\) 0.714597 5.32614i 0.0376626 0.280712i
\(361\) −6.23836 + 10.8052i −0.328335 + 0.568693i
\(362\) 13.9138 33.5129i 0.731295 1.76140i
\(363\) 5.73606i 0.301065i
\(364\) 6.32817 + 1.04453i 0.331686 + 0.0547485i
\(365\) 12.8735i 0.673830i
\(366\) −1.53661 0.637969i −0.0803199 0.0333472i
\(367\) 10.6905 18.5165i 0.558041 0.966556i −0.439619 0.898185i \(-0.644886\pi\)
0.997660 0.0683713i \(-0.0217803\pi\)
\(368\) 17.4285 + 30.4182i 0.908526 + 1.58566i
\(369\) −5.24570 + 3.02861i −0.273080 + 0.157663i
\(370\) −7.99056 + 6.12092i −0.415409 + 0.318211i
\(371\) −21.3731 + 2.14147i −1.10964 + 0.111179i
\(372\) 6.83904 + 1.84460i 0.354588 + 0.0956380i
\(373\) −7.38217 + 4.26210i −0.382234 + 0.220683i −0.678790 0.734333i \(-0.737495\pi\)
0.296556 + 0.955016i \(0.404162\pi\)
\(374\) −2.10984 16.1285i −0.109097 0.833986i
\(375\) −0.908317 0.524417i −0.0469053 0.0270808i
\(376\) −22.4436 17.3099i −1.15744 0.892690i
\(377\) 6.32045i 0.325520i
\(378\) 18.7231 4.38266i 0.963015 0.225419i
\(379\) −4.45055 −0.228609 −0.114305 0.993446i \(-0.536464\pi\)
−0.114305 + 0.993446i \(0.536464\pi\)
\(380\) −1.31395 4.93626i −0.0674043 0.253225i
\(381\) −1.31633 + 2.27995i −0.0674376 + 0.116805i
\(382\) 1.29959 + 9.93465i 0.0664931 + 0.508301i
\(383\) −5.77418 10.0012i −0.295047 0.511036i 0.679949 0.733259i \(-0.262002\pi\)
−0.974996 + 0.222223i \(0.928669\pi\)
\(384\) −1.61668 + 11.7556i −0.0825008 + 0.599898i
\(385\) 5.05166 3.63288i 0.257456 0.185149i
\(386\) 16.3589 + 21.3558i 0.832648 + 1.08698i
\(387\) −11.0293 19.1033i −0.560652 0.971077i
\(388\) −18.9233 + 18.8610i −0.960683 + 0.957522i
\(389\) −8.52646 4.92276i −0.432309 0.249594i 0.268021 0.963413i \(-0.413630\pi\)
−0.700330 + 0.713819i \(0.746964\pi\)
\(390\) −1.66045 0.689383i −0.0840800 0.0349083i
\(391\) −42.8629 −2.16767
\(392\) 1.31272 + 19.7554i 0.0663023 + 0.997800i
\(393\) −5.72385 −0.288730
\(394\) −33.6254 13.9606i −1.69403 0.703324i
\(395\) 1.34425 + 0.776104i 0.0676367 + 0.0390500i
\(396\) −6.30873 6.32956i −0.317026 0.318072i
\(397\) −13.9206 24.1113i −0.698657 1.21011i −0.968932 0.247327i \(-0.920448\pi\)
0.270275 0.962783i \(-0.412885\pi\)
\(398\) −5.81805 7.59518i −0.291633 0.380712i
\(399\) 5.75402 4.13798i 0.288061 0.207158i
\(400\) −3.45749 2.01141i −0.172875 0.100570i
\(401\) −18.2301 31.5755i −0.910370 1.57681i −0.813543 0.581505i \(-0.802464\pi\)
−0.0968267 0.995301i \(-0.530869\pi\)
\(402\) 0.148851 + 1.13788i 0.00742401 + 0.0567523i
\(403\) −2.04651 + 3.54465i −0.101944 + 0.176572i
\(404\) 3.08853 0.822117i 0.153660 0.0409019i
\(405\) 0.309642 0.0153862
\(406\) −18.9973 + 4.44684i −0.942822 + 0.220693i
\(407\) 16.7388i 0.829709i
\(408\) −11.4883 8.86046i −0.568754 0.438658i
\(409\) 3.55633 + 2.05325i 0.175849 + 0.101527i 0.585341 0.810787i \(-0.300961\pi\)
−0.409492 + 0.912314i \(0.634294\pi\)
\(410\) 0.584813 + 4.47056i 0.0288819 + 0.220785i
\(411\) 13.6882 7.90291i 0.675191 0.389822i
\(412\) 1.84702 6.84801i 0.0909961 0.337377i
\(413\) −30.1218 + 3.01804i −1.48220 + 0.148508i
\(414\) −18.6946 + 14.3205i −0.918792 + 0.703812i
\(415\) −3.87552 + 2.23753i −0.190242 + 0.109836i
\(416\) −6.32384 2.65000i −0.310052 0.129927i
\(417\) 8.01029 13.8742i 0.392265 0.679424i
\(418\) −7.84543 3.25726i −0.383733 0.159318i
\(419\) 39.8516i 1.94688i 0.228943 + 0.973440i \(0.426473\pi\)
−0.228943 + 0.973440i \(0.573527\pi\)
\(420\) 0.903844 5.47581i 0.0441031 0.267192i
\(421\) 10.2595i 0.500020i −0.968243 0.250010i \(-0.919566\pi\)
0.968243 0.250010i \(-0.0804339\pi\)
\(422\) 8.00247 19.2747i 0.389554 0.938279i
\(423\) 9.51959 16.4884i 0.462859 0.801694i
\(424\) 22.7593 + 3.05357i 1.10529 + 0.148294i
\(425\) 4.23538 2.44530i 0.205446 0.118614i
\(426\) −2.28398 2.98163i −0.110659 0.144460i
\(427\) 2.70526 + 1.22024i 0.130917 + 0.0590517i
\(428\) 5.20778 19.3084i 0.251728 0.933306i
\(429\) −2.58926 + 1.49491i −0.125011 + 0.0721749i
\(430\) −16.2805 + 2.12972i −0.785115 + 0.102704i
\(431\) 13.6969 + 7.90789i 0.659755 + 0.380909i 0.792183 0.610283i \(-0.208944\pi\)
−0.132429 + 0.991193i \(0.542278\pi\)
\(432\) −20.5568 0.0677510i −0.989040 0.00325967i
\(433\) 32.7619i 1.57443i −0.616676 0.787217i \(-0.711521\pi\)
0.616676 0.787217i \(-0.288479\pi\)
\(434\) −12.0940 3.65728i −0.580530 0.175555i
\(435\) 5.46913 0.262225
\(436\) −2.47885 9.31256i −0.118716 0.445991i
\(437\) −11.1924 + 19.3858i −0.535404 + 0.927347i
\(438\) −18.9336 + 2.47679i −0.904684 + 0.118346i
\(439\) −0.202051 0.349962i −0.00964336 0.0167028i 0.861163 0.508328i \(-0.169736\pi\)
−0.870807 + 0.491625i \(0.836403\pi\)
\(440\) −6.15185 + 2.53038i −0.293278 + 0.120631i
\(441\) −13.0353 + 2.63861i −0.620727 + 0.125648i
\(442\) 6.65509 5.09793i 0.316551 0.242484i
\(443\) −16.1659 28.0002i −0.768066 1.33033i −0.938610 0.344979i \(-0.887886\pi\)
0.170544 0.985350i \(-0.445447\pi\)
\(444\) 10.5396 + 10.5744i 0.500189 + 0.501841i
\(445\) 9.58219 + 5.53228i 0.454239 + 0.262255i
\(446\) 7.83703 18.8763i 0.371094 0.893817i
\(447\) 4.45196 0.210570
\(448\) 3.51585 20.8720i 0.166108 0.986108i
\(449\) 4.91848 0.232117 0.116059 0.993242i \(-0.462974\pi\)
0.116059 + 0.993242i \(0.462974\pi\)
\(450\) 1.03029 2.48155i 0.0485683 0.116982i
\(451\) 6.49328 + 3.74889i 0.305756 + 0.176529i
\(452\) −12.3767 12.4175i −0.582150 0.584071i
\(453\) −0.628138 1.08797i −0.0295125 0.0511172i
\(454\) −5.15757 + 3.95079i −0.242057 + 0.185420i
\(455\) 2.92328 + 1.31858i 0.137045 + 0.0618160i
\(456\) −7.00718 + 2.88220i −0.328141 + 0.134971i
\(457\) 10.7472 + 18.6147i 0.502733 + 0.870759i 0.999995 + 0.00315885i \(0.00100550\pi\)
−0.497262 + 0.867601i \(0.665661\pi\)
\(458\) 18.3440 2.39966i 0.857160 0.112129i
\(459\) 12.5670 21.7666i 0.586575 1.01598i
\(460\) 4.50885 + 16.9389i 0.210226 + 0.789779i
\(461\) −27.8967 −1.29928 −0.649639 0.760243i \(-0.725080\pi\)
−0.649639 + 0.760243i \(0.725080\pi\)
\(462\) −6.31495 6.73075i −0.293798 0.313143i
\(463\) 38.9342i 1.80942i 0.426024 + 0.904712i \(0.359914\pi\)
−0.426024 + 0.904712i \(0.640086\pi\)
\(464\) 20.8578 + 0.0687431i 0.968301 + 0.00319132i
\(465\) 3.06722 + 1.77086i 0.142239 + 0.0821216i
\(466\) 29.2595 3.82756i 1.35542 0.177308i
\(467\) −21.6588 + 12.5047i −1.00225 + 0.578650i −0.908914 0.416984i \(-0.863087\pi\)
−0.0933379 + 0.995634i \(0.529754\pi\)
\(468\) 1.19941 4.44692i 0.0554425 0.205559i
\(469\) −0.204072 2.03676i −0.00942316 0.0940486i
\(470\) −8.61792 11.2503i −0.397515 0.518936i
\(471\) 10.0164 5.78295i 0.461529 0.266464i
\(472\) 32.0754 + 4.30349i 1.47639 + 0.198084i
\(473\) −13.6524 + 23.6467i −0.627738 + 1.08727i
\(474\) 0.882825 2.12637i 0.0405495 0.0976674i
\(475\) 2.55407i 0.117189i
\(476\) 20.0051 + 16.4164i 0.916931 + 0.752447i
\(477\) 15.4251i 0.706268i
\(478\) −3.85250 1.59948i −0.176209 0.0731585i
\(479\) −4.29962 + 7.44716i −0.196455 + 0.340269i −0.947376 0.320122i \(-0.896276\pi\)
0.750922 + 0.660391i \(0.229609\pi\)
\(480\) −2.29306 + 5.47207i −0.104663 + 0.249765i
\(481\) −7.47116 + 4.31348i −0.340655 + 0.196678i
\(482\) 1.03539 0.793127i 0.0471607 0.0361260i
\(483\) −19.7451 + 14.1996i −0.898431 + 0.646103i
\(484\) 2.84836 10.5606i 0.129471 0.480027i
\(485\) −11.5690 + 6.67938i −0.525323 + 0.303295i
\(486\) −2.88774 22.0751i −0.130991 1.00135i
\(487\) 12.9204 + 7.45959i 0.585478 + 0.338026i 0.763308 0.646035i \(-0.223574\pi\)
−0.177829 + 0.984061i \(0.556907\pi\)
\(488\) −2.51224 1.93759i −0.113724 0.0877108i
\(489\) 13.3496i 0.603688i
\(490\) −1.90654 + 9.71417i −0.0861287 + 0.438841i
\(491\) 3.92024 0.176918 0.0884589 0.996080i \(-0.471806\pi\)
0.0884589 + 0.996080i \(0.471806\pi\)
\(492\) 6.46253 1.72022i 0.291353 0.0775536i
\(493\) −12.7510 + 22.0854i −0.574276 + 0.994675i
\(494\) −0.567878 4.34110i −0.0255500 0.195315i
\(495\) −2.23416 3.86967i −0.100418 0.173929i
\(496\) 11.6753 + 6.79214i 0.524236 + 0.304976i
\(497\) 3.91146 + 5.43904i 0.175453 + 0.243974i
\(498\) 4.03647 + 5.26941i 0.180878 + 0.236128i
\(499\) 5.70995 + 9.88993i 0.255613 + 0.442734i 0.965062 0.262023i \(-0.0843895\pi\)
−0.709449 + 0.704757i \(0.751056\pi\)
\(500\) −1.41188 1.41654i −0.0631412 0.0633497i
\(501\) 13.6756 + 7.89564i 0.610983 + 0.352751i
\(502\) 12.1529 + 5.04565i 0.542412 + 0.225198i
\(503\) 22.9658 1.02399 0.511997 0.858987i \(-0.328906\pi\)
0.511997 + 0.858987i \(0.328906\pi\)
\(504\) 14.2099 + 0.476357i 0.632960 + 0.0212186i
\(505\) 1.59804 0.0711118
\(506\) 26.9218 + 11.1774i 1.19682 + 0.496894i
\(507\) 10.4736 + 6.04696i 0.465151 + 0.268555i
\(508\) −3.55564 + 3.54394i −0.157756 + 0.157237i
\(509\) −12.4956 21.6429i −0.553856 0.959306i −0.997992 0.0633469i \(-0.979823\pi\)
0.444136 0.895959i \(-0.353511\pi\)
\(510\) −4.41128 5.75870i −0.195335 0.255000i
\(511\) 33.8904 3.39563i 1.49922 0.150214i
\(512\) −8.81392 + 20.8402i −0.389524 + 0.921016i
\(513\) −6.56298 11.3674i −0.289763 0.501883i
\(514\) −5.52167 42.2100i −0.243550 1.86180i
\(515\) 1.77318 3.07124i 0.0781357 0.135335i
\(516\) 6.26455 + 23.5347i 0.275782 + 1.03606i
\(517\) −23.5673 −1.03649
\(518\) −18.2214 19.4212i −0.800603 0.853318i
\(519\) 12.7879i 0.561325i
\(520\) −2.71470 2.09374i −0.119048 0.0918168i
\(521\) 14.0875 + 8.13341i 0.617184 + 0.356331i 0.775772 0.631014i \(-0.217361\pi\)
−0.158588 + 0.987345i \(0.550694\pi\)
\(522\) 1.81735 + 13.8926i 0.0795434 + 0.608063i
\(523\) −16.4913 + 9.52126i −0.721114 + 0.416336i −0.815163 0.579232i \(-0.803353\pi\)
0.0940483 + 0.995568i \(0.470019\pi\)
\(524\) −10.5381 2.84230i −0.460359 0.124166i
\(525\) 1.14098 2.52953i 0.0497964 0.110398i
\(526\) 19.7663 15.1413i 0.861850 0.660193i
\(527\) −14.3021 + 8.25732i −0.623009 + 0.359694i
\(528\) 4.90513 + 8.56097i 0.213468 + 0.372568i
\(529\) 26.9069 46.6042i 1.16987 2.02627i
\(530\) 10.6040 + 4.40256i 0.460608 + 0.191235i
\(531\) 21.7392i 0.943399i
\(532\) 12.6485 4.76110i 0.548380 0.206420i
\(533\) 3.86427i 0.167380i
\(534\) 6.29301 15.1573i 0.272325 0.655922i
\(535\) 4.99959 8.65954i 0.216151 0.374385i
\(536\) −0.290990 + 2.16885i −0.0125689 + 0.0936801i
\(537\) 1.26918 0.732763i 0.0547693 0.0316211i
\(538\) −7.05819 9.21412i −0.304300 0.397249i
\(539\) 10.8963 + 12.3406i 0.469336 + 0.531548i
\(540\) −9.92383 2.67662i −0.427054 0.115183i
\(541\) −33.7035 + 19.4587i −1.44902 + 0.836595i −0.998423 0.0561307i \(-0.982124\pi\)
−0.450601 + 0.892725i \(0.648790\pi\)
\(542\) −20.7587 + 2.71553i −0.891662 + 0.116642i
\(543\) −23.3060 13.4557i −1.00015 0.577439i
\(544\) −16.7511 22.0176i −0.718196 0.943998i
\(545\) 4.81842i 0.206398i
\(546\) 1.37687 4.55308i 0.0589248 0.194854i
\(547\) −1.29047 −0.0551764 −0.0275882 0.999619i \(-0.508783\pi\)
−0.0275882 + 0.999619i \(0.508783\pi\)
\(548\) 29.1256 7.75277i 1.24419 0.331182i
\(549\) 1.06558 1.84564i 0.0454779 0.0787701i
\(550\) −3.29786 + 0.431408i −0.140621 + 0.0183953i
\(551\) 6.65909 + 11.5339i 0.283687 + 0.491360i
\(552\) 24.0453 9.89032i 1.02344 0.420960i
\(553\) −1.68858 + 3.74355i −0.0718056 + 0.159192i
\(554\) 7.17003 5.49238i 0.304625 0.233349i
\(555\) 3.73248 + 6.46485i 0.158435 + 0.274418i
\(556\) 21.6372 21.5660i 0.917621 0.914602i
\(557\) −5.64503 3.25916i −0.239188 0.138095i 0.375616 0.926776i \(-0.377431\pi\)
−0.614803 + 0.788680i \(0.710765\pi\)
\(558\) −3.47909 + 8.37974i −0.147282 + 0.354743i
\(559\) −14.0726 −0.595206
\(560\) 4.38319 9.63264i 0.185224 0.407053i
\(561\) −12.0634 −0.509319
\(562\) −6.64605 + 16.0077i −0.280347 + 0.675243i
\(563\) 24.9474 + 14.4034i 1.05141 + 0.607030i 0.923043 0.384697i \(-0.125694\pi\)
0.128364 + 0.991727i \(0.459027\pi\)
\(564\) −14.8882 + 14.8392i −0.626908 + 0.624845i
\(565\) −4.38304 7.59165i −0.184396 0.319383i
\(566\) −18.9205 + 14.4935i −0.795288 + 0.609206i
\(567\) 0.0816740 + 0.815154i 0.00342999 + 0.0342333i
\(568\) −2.72442 6.62360i −0.114314 0.277920i
\(569\) 5.68292 + 9.84310i 0.238240 + 0.412644i 0.960209 0.279281i \(-0.0900961\pi\)
−0.721969 + 0.691925i \(0.756763\pi\)
\(570\) −3.75638 + 0.491389i −0.157338 + 0.0205820i
\(571\) −1.36107 + 2.35745i −0.0569592 + 0.0986562i −0.893099 0.449860i \(-0.851474\pi\)
0.836140 + 0.548516i \(0.184807\pi\)
\(572\) −5.50939 + 1.46651i −0.230359 + 0.0613178i
\(573\) 7.43068 0.310421
\(574\) −11.6148 + 2.71876i −0.484792 + 0.113479i
\(575\) 8.76435i 0.365499i
\(576\) −14.6620 4.00647i −0.610918 0.166936i
\(577\) −8.29404 4.78857i −0.345285 0.199351i 0.317321 0.948318i \(-0.397217\pi\)
−0.662607 + 0.748967i \(0.730550\pi\)
\(578\) 9.70082 1.26901i 0.403501 0.0527837i
\(579\) 17.2781 9.97554i 0.718055 0.414569i
\(580\) 10.0692 + 2.71582i 0.418099 + 0.112768i
\(581\) −6.91270 9.61238i −0.286787 0.398789i
\(582\) 12.0495 + 15.7300i 0.499467 + 0.652030i
\(583\) 16.5356 9.54684i 0.684835 0.395390i
\(584\) −36.0884 4.84191i −1.49335 0.200360i
\(585\) 1.15146 1.99438i 0.0476069 0.0824576i
\(586\) 14.6641 35.3199i 0.605767 1.45905i
\(587\) 37.9535i 1.56651i 0.621703 + 0.783253i \(0.286441\pi\)
−0.621703 + 0.783253i \(0.713559\pi\)
\(588\) 14.6539 + 0.935081i 0.604315 + 0.0385621i
\(589\) 8.62461i 0.355371i
\(590\) 14.9446 + 6.20467i 0.615258 + 0.255442i
\(591\) −13.5009 + 23.3843i −0.555353 + 0.961900i
\(592\) 14.1535 + 24.7022i 0.581703 + 1.01525i
\(593\) 22.1702 12.7999i 0.910419 0.525631i 0.0298534 0.999554i \(-0.490496\pi\)
0.880566 + 0.473923i \(0.157163\pi\)
\(594\) −13.5693 + 10.3943i −0.556754 + 0.426484i
\(595\) 7.55459 + 10.5049i 0.309708 + 0.430661i
\(596\) 8.19645 + 2.21071i 0.335740 + 0.0905544i
\(597\) −6.14497 + 3.54780i −0.251497 + 0.145202i
\(598\) 1.94869 + 14.8966i 0.0796877 + 0.609166i
\(599\) 28.0612 + 16.2011i 1.14655 + 0.661960i 0.948044 0.318140i \(-0.103058\pi\)
0.198504 + 0.980100i \(0.436392\pi\)
\(600\) −1.81173 + 2.34905i −0.0739637 + 0.0958996i
\(601\) 22.3390i 0.911226i −0.890178 0.455613i \(-0.849420\pi\)
0.890178 0.455613i \(-0.150580\pi\)
\(602\) −9.90093 42.2978i −0.403532 1.72393i
\(603\) −1.46994 −0.0598607
\(604\) −0.616205 2.31496i −0.0250730 0.0941944i
\(605\) 2.73450 4.73629i 0.111173 0.192557i
\(606\) −0.307454 2.35031i −0.0124895 0.0954747i
\(607\) 14.9462 + 25.8877i 0.606649 + 1.05075i 0.991789 + 0.127889i \(0.0408201\pi\)
−0.385139 + 0.922858i \(0.625847\pi\)
\(608\) −14.3320 + 1.82681i −0.581241 + 0.0740871i
\(609\) 1.44259 + 14.3979i 0.0584566 + 0.583432i
\(610\) −0.964652 1.25931i −0.0390576 0.0509878i
\(611\) −6.07314 10.5190i −0.245693 0.425552i
\(612\) 13.1623 13.1190i 0.532056 0.530305i
\(613\) −7.53192 4.34856i −0.304211 0.175637i 0.340122 0.940381i \(-0.389532\pi\)
−0.644333 + 0.764745i \(0.722865\pi\)
\(614\) −4.34076 1.80220i −0.175179 0.0727307i
\(615\) 3.34378 0.134834
\(616\) −8.28407 15.5277i −0.333775 0.625630i
\(617\) 14.2056 0.571897 0.285948 0.958245i \(-0.407691\pi\)
0.285948 + 0.958245i \(0.407691\pi\)
\(618\) −4.85816 2.01701i −0.195424 0.0811359i
\(619\) 16.3642 + 9.44785i 0.657731 + 0.379741i 0.791412 0.611283i \(-0.209346\pi\)
−0.133681 + 0.991024i \(0.542680\pi\)
\(620\) 4.76766 + 4.78340i 0.191474 + 0.192106i
\(621\) 22.5210 + 39.0075i 0.903737 + 1.56532i
\(622\) 29.7450 + 38.8306i 1.19267 + 1.55697i
\(623\) −12.0366 + 26.6850i −0.482237 + 1.06911i
\(624\) −2.55707 + 4.39546i −0.102365 + 0.175959i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.65476 + 20.2941i 0.106106 + 0.811117i
\(627\) −3.15001 + 5.45597i −0.125799 + 0.217891i
\(628\) 21.3126 5.67308i 0.850467 0.226381i
\(629\) −34.8083 −1.38790
\(630\) 6.80462 + 2.05775i 0.271103 + 0.0819828i
\(631\) 3.99376i 0.158989i −0.996835 0.0794945i \(-0.974669\pi\)
0.996835 0.0794945i \(-0.0253306\pi\)
\(632\) 2.68125 3.47645i 0.106654 0.138286i
\(633\) −13.4043 7.73897i −0.532773 0.307596i
\(634\) −2.78451 21.2859i −0.110587 0.845373i
\(635\) −2.17379 + 1.25504i −0.0862644 + 0.0498048i
\(636\) 4.43489 16.4428i 0.175855 0.651999i
\(637\) −2.70019 + 8.04353i −0.106985 + 0.318696i
\(638\) 13.7680 10.5465i 0.545079 0.417541i
\(639\) 4.16642 2.40548i 0.164821 0.0951594i
\(640\) −6.93900 + 8.93590i −0.274288 + 0.353222i
\(641\) 9.65359 16.7205i 0.381294 0.660420i −0.609954 0.792437i \(-0.708812\pi\)
0.991247 + 0.132017i \(0.0421453\pi\)
\(642\) −13.6979 5.68707i −0.540612 0.224451i
\(643\) 21.3394i 0.841544i −0.907166 0.420772i \(-0.861759\pi\)
0.907166 0.420772i \(-0.138241\pi\)
\(644\) −43.4035 + 16.3378i −1.71034 + 0.643801i
\(645\) 12.1771i 0.479473i
\(646\) 6.77349 16.3146i 0.266499 0.641890i
\(647\) 11.9178 20.6422i 0.468535 0.811527i −0.530818 0.847486i \(-0.678115\pi\)
0.999353 + 0.0359589i \(0.0114485\pi\)
\(648\) 0.116461 0.868022i 0.00457501 0.0340991i
\(649\) 23.3042 13.4547i 0.914769 0.528142i
\(650\) −1.04239 1.36079i −0.0408860 0.0533747i
\(651\) −3.85287 + 8.54176i −0.151006 + 0.334778i
\(652\) −6.62901 + 24.5777i −0.259612 + 0.962537i
\(653\) −3.56712 + 2.05948i −0.139592 + 0.0805936i −0.568170 0.822911i \(-0.692348\pi\)
0.428577 + 0.903505i \(0.359015\pi\)
\(654\) −7.08666 + 0.927037i −0.277110 + 0.0362500i
\(655\) −4.72620 2.72867i −0.184668 0.106618i
\(656\) 12.7523 + 0.0420289i 0.497894 + 0.00164095i
\(657\) 24.4590i 0.954235i
\(658\) 27.3440 25.6547i 1.06598 1.00013i
\(659\) 39.8908 1.55393 0.776963 0.629546i \(-0.216759\pi\)
0.776963 + 0.629546i \(0.216759\pi\)
\(660\) 1.26898 + 4.76731i 0.0493950 + 0.185567i
\(661\) 20.1318 34.8692i 0.783035 1.35626i −0.147132 0.989117i \(-0.547004\pi\)
0.930166 0.367139i \(-0.119663\pi\)
\(662\) 23.0835 3.01966i 0.897167 0.117362i
\(663\) −3.10867 5.38438i −0.120731 0.209112i
\(664\) 4.81485 + 11.7058i 0.186853 + 0.454275i
\(665\) 6.72377 0.673685i 0.260737 0.0261244i
\(666\) −15.1816 + 11.6294i −0.588277 + 0.450631i
\(667\) −22.8508 39.5788i −0.884787 1.53250i
\(668\) 21.2573 + 21.3275i 0.822471 + 0.825186i
\(669\) −13.1272 7.57898i −0.507526 0.293020i
\(670\) −0.419543 + 1.01051i −0.0162084 + 0.0390394i
\(671\) −2.63802 −0.101839
\(672\) −15.0104 4.59328i −0.579041 0.177190i
\(673\) −23.6181 −0.910412 −0.455206 0.890386i \(-0.650434\pi\)
−0.455206 + 0.890386i \(0.650434\pi\)
\(674\) −15.3400 + 36.9479i −0.590874 + 1.42318i
\(675\) −4.45070 2.56962i −0.171308 0.0989045i
\(676\) 16.2802 + 16.3339i 0.626160 + 0.628227i
\(677\) 12.2908 + 21.2883i 0.472374 + 0.818175i 0.999500 0.0316116i \(-0.0100639\pi\)
−0.527127 + 0.849787i \(0.676731\pi\)
\(678\) −10.3221 + 7.90693i −0.396418 + 0.303664i
\(679\) −20.6355 28.6945i −0.791918 1.10119i
\(680\) −5.26194 12.7928i −0.201786 0.490581i
\(681\) 2.40916 + 4.17279i 0.0923192 + 0.159902i
\(682\) 11.1363 1.45678i 0.426430 0.0557831i
\(683\) −10.5724 + 18.3120i −0.404543 + 0.700688i −0.994268 0.106915i \(-0.965903\pi\)
0.589726 + 0.807604i \(0.299236\pi\)
\(684\) −2.49644 9.37863i −0.0954537 0.358601i
\(685\) 15.0699 0.575791
\(686\) −26.0761 2.45680i −0.995591 0.0938012i
\(687\) 13.7205i 0.523471i
\(688\) −0.153057 + 46.4403i −0.00583526 + 1.77052i
\(689\) 8.52225 + 4.92032i 0.324672 + 0.187449i
\(690\) 12.8901 1.68621i 0.490719 0.0641930i
\(691\) −1.87978 + 1.08529i −0.0715102 + 0.0412864i −0.535329 0.844644i \(-0.679812\pi\)
0.463819 + 0.885930i \(0.346479\pi\)
\(692\) −6.35008 + 23.5436i −0.241394 + 0.894993i
\(693\) 9.59789 6.90228i 0.364594 0.262196i
\(694\) −0.844294 1.10218i −0.0320490 0.0418384i
\(695\) 13.2282 7.63733i 0.501776 0.289700i
\(696\) 2.05702 15.3317i 0.0779711 0.581146i
\(697\) −7.79584 + 13.5028i −0.295289 + 0.511455i
\(698\) 14.0203 33.7692i 0.530676 1.27818i
\(699\) 21.8848i 0.827759i
\(700\) 3.35674 4.09052i 0.126873 0.154607i
\(701\) 45.6142i 1.72283i −0.507906 0.861413i \(-0.669580\pi\)
0.507906 0.861413i \(-0.330420\pi\)
\(702\) −8.13610 3.37794i −0.307077 0.127492i
\(703\) −9.08916 + 15.7429i −0.342804 + 0.593754i
\(704\) 4.77964 + 18.1972i 0.180140 + 0.685834i
\(705\) −9.10216 + 5.25513i −0.342807 + 0.197920i
\(706\) 14.8677 11.3889i 0.559552 0.428627i
\(707\) 0.421513 + 4.20695i 0.0158526 + 0.158219i
\(708\) 6.25023 23.1734i 0.234898 0.870908i
\(709\) −22.2197 + 12.8285i −0.834477 + 0.481785i −0.855383 0.517996i \(-0.826678\pi\)
0.0209062 + 0.999781i \(0.493345\pi\)
\(710\) −0.464490 3.55076i −0.0174320 0.133258i
\(711\) 2.55401 + 1.47456i 0.0957828 + 0.0553002i
\(712\) 19.1127 24.7811i 0.716278 0.928709i
\(713\) 29.5956i 1.10836i
\(714\) 13.9966 13.1320i 0.523811 0.491451i
\(715\) −2.85061 −0.106607
\(716\) 2.70055 0.718842i 0.100924 0.0268644i
\(717\) −1.54681 + 2.67916i −0.0577668 + 0.100055i
\(718\) −0.983624 7.51923i −0.0367085 0.280615i
\(719\) −11.6722 20.2169i −0.435301 0.753964i 0.562019 0.827124i \(-0.310025\pi\)
−0.997320 + 0.0731603i \(0.976692\pi\)
\(720\) −6.56905 3.82157i −0.244814 0.142421i
\(721\) 8.55297 + 3.85793i 0.318529 + 0.143677i
\(722\) 10.7299 + 14.0074i 0.399326 + 0.521300i
\(723\) −0.483642 0.837693i −0.0179868 0.0311541i
\(724\) −36.2266 36.3462i −1.34635 1.35080i
\(725\) 4.51588 + 2.60725i 0.167716 + 0.0968307i
\(726\) −7.49197 3.11051i −0.278053 0.115442i
\(727\) −17.2636 −0.640273 −0.320136 0.947371i \(-0.603729\pi\)
−0.320136 + 0.947371i \(0.603729\pi\)
\(728\) 4.79588 7.69891i 0.177747 0.285340i
\(729\) −15.5823 −0.577122
\(730\) −16.8143 6.98094i −0.622325 0.258376i
\(731\) −49.1733 28.3902i −1.81874 1.05005i
\(732\) −1.66652 + 1.66104i −0.0615965 + 0.0613938i
\(733\) −13.4244 23.2518i −0.495843 0.858825i 0.504146 0.863619i \(-0.331807\pi\)
−0.999989 + 0.00479386i \(0.998474\pi\)
\(734\) −18.3876 24.0041i −0.678698 0.886007i
\(735\) 6.96013 + 2.33649i 0.256728 + 0.0861829i
\(736\) 49.1807 6.26876i 1.81283 0.231069i
\(737\) 0.909769 + 1.57577i 0.0335118 + 0.0580441i
\(738\) 1.11111 + 8.49382i 0.0409007 + 0.312662i
\(739\) −6.14064 + 10.6359i −0.225887 + 0.391248i −0.956585 0.291453i \(-0.905861\pi\)
0.730698 + 0.682701i \(0.239195\pi\)
\(740\) 3.66157 + 13.7558i 0.134602 + 0.505673i
\(741\) −3.24695 −0.119280
\(742\) −8.79304 + 29.0770i −0.322802 + 1.06745i
\(743\) 24.4507i 0.897009i 0.893781 + 0.448505i \(0.148043\pi\)
−0.893781 + 0.448505i \(0.851957\pi\)
\(744\) 6.11788 7.93231i 0.224292 0.290812i
\(745\) 3.67599 + 2.12234i 0.134678 + 0.0777564i
\(746\) 1.56365 + 11.9532i 0.0572493 + 0.437637i
\(747\) −7.36328 + 4.25119i −0.269408 + 0.155543i
\(748\) −22.2098 5.99036i −0.812072 0.219029i
\(749\) 24.1156 + 10.8777i 0.881165 + 0.397461i
\(750\) −1.17750 + 0.901991i −0.0429964 + 0.0329360i
\(751\) 31.9771 18.4620i 1.16686 0.673687i 0.213921 0.976851i \(-0.431376\pi\)
0.952938 + 0.303164i \(0.0980430\pi\)
\(752\) −34.7793 + 19.9273i −1.26827 + 0.726674i
\(753\) 4.87951 8.45156i 0.177819 0.307992i
\(754\) 8.25525 + 3.42741i 0.300638 + 0.124819i
\(755\) 1.19778i 0.0435918i
\(756\) 4.42879 26.8312i 0.161073 0.975841i
\(757\) 14.6178i 0.531293i −0.964071 0.265646i \(-0.914415\pi\)
0.964071 0.265646i \(-0.0855854\pi\)
\(758\) −2.41341 + 5.81294i −0.0876590 + 0.211135i
\(759\) 10.8093 18.7223i 0.392354 0.679577i
\(760\) −7.15985 0.960622i −0.259715 0.0348454i
\(761\) −15.3433 + 8.85843i −0.556193 + 0.321118i −0.751616 0.659601i \(-0.770725\pi\)
0.195423 + 0.980719i \(0.437392\pi\)
\(762\) 2.26407 + 2.95563i 0.0820186 + 0.107071i
\(763\) 12.6848 1.27095i 0.459221 0.0460115i
\(764\) 13.6805 + 3.68986i 0.494945 + 0.133495i
\(765\) 8.04700 4.64594i 0.290940 0.167974i
\(766\) −16.1939 + 2.11839i −0.585108 + 0.0765406i
\(767\) 12.0107 + 6.93437i 0.433681 + 0.250386i
\(768\) 14.4774 + 8.48628i 0.522410 + 0.306222i
\(769\) 3.82227i 0.137834i −0.997622 0.0689172i \(-0.978046\pi\)
0.997622 0.0689172i \(-0.0219544\pi\)
\(770\) −2.00559 8.56807i −0.0722763 0.308772i
\(771\) −31.5712 −1.13701
\(772\) 36.7641 9.78602i 1.32317 0.352207i
\(773\) 22.2173 38.4815i 0.799101 1.38408i −0.121102 0.992640i \(-0.538643\pi\)
0.920202 0.391443i \(-0.128024\pi\)