Properties

Label 507.2.t.b.4.10
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 4.10
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.989614 + 0.0398801i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.01577 - 0.0820013i) q^{4} +(-0.558145 - 0.211676i) q^{5} +(-0.313633 + 0.939447i) q^{6} +(-0.641263 - 1.50510i) q^{7} +(-2.96834 - 0.360422i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(0.989614 + 0.0398801i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.01577 - 0.0820013i) q^{4} +(-0.558145 - 0.211676i) q^{5} +(-0.313633 + 0.939447i) q^{6} +(-0.641263 - 1.50510i) q^{7} +(-2.96834 - 0.360422i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-0.543906 - 0.231737i) q^{10} +(-2.44860 - 3.87215i) q^{11} +(0.361368 - 0.952850i) q^{12} +(1.96798 - 3.02110i) q^{13} +(-0.574579 - 1.51504i) q^{14} +(0.358605 - 0.477216i) q^{15} +(-0.911385 - 0.148115i) q^{16} +(-0.332470 + 0.141652i) q^{17} +(-0.815097 - 0.562621i) q^{18} +(-0.690025 + 0.398386i) q^{19} +(0.549588 + 0.260783i) q^{20} +(1.62409 - 0.197200i) q^{21} +(-2.26874 - 3.92958i) q^{22} +(1.00673 - 1.74370i) q^{23} +(1.17204 - 2.75087i) q^{24} +(-3.47583 - 3.07932i) q^{25} +(2.06802 - 2.91124i) q^{26} +(0.748511 - 0.663123i) q^{27} +(0.527955 + 1.58142i) q^{28} +(-0.0115167 + 0.285785i) q^{29} +(0.373912 - 0.457959i) q^{30} +(3.83378 + 4.32745i) q^{31} +(4.96341 + 1.01329i) q^{32} +(4.40051 - 1.27462i) q^{33} +(-0.334666 + 0.126922i) q^{34} +(0.0393235 + 0.975804i) q^{35} +(0.814691 + 0.612201i) q^{36} +(-10.2465 + 2.09183i) q^{37} +(-0.698746 + 0.366730i) q^{38} +(2.35430 + 2.73080i) q^{39} +(1.58047 + 0.829495i) q^{40} +(-10.9589 - 3.17428i) q^{41} +(1.61508 - 0.130383i) q^{42} +(0.0781354 - 0.382732i) q^{43} +(2.16969 + 4.13399i) q^{44} +(0.358605 + 0.477216i) q^{45} +(1.06581 - 1.68545i) q^{46} +(-3.09548 + 2.13666i) q^{47} +(0.395830 - 0.834194i) q^{48} +(2.99496 - 3.11809i) q^{49} +(-3.31693 - 3.18596i) q^{50} +(-0.0435606 - 0.358754i) q^{51} +(-2.24675 + 2.90736i) q^{52} +(0.293506 - 2.41724i) q^{53} +(0.767182 - 0.626385i) q^{54} +(0.547030 + 2.67953i) q^{55} +(1.36102 + 4.69877i) q^{56} +(-0.190680 - 0.773620i) q^{57} +(-0.0227942 + 0.282357i) q^{58} +(-0.349333 - 2.14953i) q^{59} +(-0.403392 + 0.455335i) q^{60} +(10.2857 - 7.72924i) q^{61} +(3.62139 + 4.43539i) q^{62} +(-0.262435 + 1.61483i) q^{63} +(6.66448 + 1.64265i) q^{64} +(-1.73791 + 1.26964i) q^{65} +(4.40564 - 1.08589i) q^{66} +(0.753898 + 9.33870i) q^{67} +(0.349329 - 0.116623i) q^{68} +(1.39477 + 1.45211i) q^{69} +0.967237i q^{70} +(-8.16152 + 7.83925i) q^{71} +(2.31618 + 1.89110i) q^{72} +(2.21752 - 4.22514i) q^{73} +(-10.2235 + 1.66147i) q^{74} +(3.92478 - 2.48188i) q^{75} +(0.733574 - 0.348085i) q^{76} +(-4.25777 + 6.16845i) q^{77} +(2.22094 + 2.79633i) q^{78} +(0.0289487 + 0.0419394i) q^{79} +(0.477333 + 0.275588i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-10.7185 - 3.57836i) q^{82} +(-0.274298 + 1.11287i) q^{83} +(-1.66587 + 0.0671321i) q^{84} +(0.215551 - 0.00868641i) q^{85} +(0.0925872 - 0.375641i) q^{86} +(-0.271297 - 0.0905723i) q^{87} +(5.87267 + 12.3764i) q^{88} +(2.30195 + 1.32903i) q^{89} +(0.335849 + 0.486561i) q^{90} +(-5.80905 - 1.02469i) q^{91} +(-1.16559 + 1.68865i) q^{92} +(-5.22322 + 2.47845i) q^{93} +(-3.14854 + 1.99102i) q^{94} +(0.469463 - 0.0762951i) q^{95} +(-2.35419 + 4.48554i) q^{96} +(11.5580 + 9.43681i) q^{97} +(3.08821 - 2.96626i) q^{98} +4.58139i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.989614 + 0.0398801i 0.699763 + 0.0281995i 0.387598 0.921828i \(-0.373305\pi\)
0.312165 + 0.950028i \(0.398946\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.01577 0.0820013i −0.507884 0.0410007i
\(5\) −0.558145 0.211676i −0.249610 0.0946646i 0.226627 0.973982i \(-0.427230\pi\)
−0.476237 + 0.879317i \(0.657999\pi\)
\(6\) −0.313633 + 0.939447i −0.128040 + 0.383528i
\(7\) −0.641263 1.50510i −0.242375 0.568874i 0.753717 0.657199i \(-0.228259\pi\)
−0.996092 + 0.0883249i \(0.971849\pi\)
\(8\) −2.96834 0.360422i −1.04947 0.127428i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −0.543906 0.231737i −0.171998 0.0732816i
\(11\) −2.44860 3.87215i −0.738280 1.16750i −0.980355 0.197239i \(-0.936803\pi\)
0.242076 0.970257i \(-0.422172\pi\)
\(12\) 0.361368 0.952850i 0.104318 0.275064i
\(13\) 1.96798 3.02110i 0.545820 0.837903i
\(14\) −0.574579 1.51504i −0.153563 0.404912i
\(15\) 0.358605 0.477216i 0.0925913 0.123217i
\(16\) −0.911385 0.148115i −0.227846 0.0370286i
\(17\) −0.332470 + 0.141652i −0.0806359 + 0.0343557i −0.431908 0.901918i \(-0.642159\pi\)
0.351272 + 0.936273i \(0.385749\pi\)
\(18\) −0.815097 0.562621i −0.192120 0.132611i
\(19\) −0.690025 + 0.398386i −0.158303 + 0.0913961i −0.577059 0.816703i \(-0.695800\pi\)
0.418756 + 0.908099i \(0.362466\pi\)
\(20\) 0.549588 + 0.260783i 0.122892 + 0.0583128i
\(21\) 1.62409 0.197200i 0.354405 0.0430325i
\(22\) −2.26874 3.92958i −0.483698 0.837790i
\(23\) 1.00673 1.74370i 0.209917 0.363587i −0.741771 0.670653i \(-0.766014\pi\)
0.951688 + 0.307066i \(0.0993472\pi\)
\(24\) 1.17204 2.75087i 0.239241 0.561519i
\(25\) −3.47583 3.07932i −0.695167 0.615864i
\(26\) 2.06802 2.91124i 0.405573 0.570941i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 0.527955 + 1.58142i 0.0997741 + 0.298860i
\(29\) −0.0115167 + 0.285785i −0.00213860 + 0.0530689i −0.999906 0.0137173i \(-0.995634\pi\)
0.997767 + 0.0667862i \(0.0212745\pi\)
\(30\) 0.373912 0.457959i 0.0682666 0.0836114i
\(31\) 3.83378 + 4.32745i 0.688568 + 0.777232i 0.984007 0.178129i \(-0.0570045\pi\)
−0.295439 + 0.955362i \(0.595466\pi\)
\(32\) 4.96341 + 1.01329i 0.877416 + 0.179126i
\(33\) 4.40051 1.27462i 0.766030 0.221883i
\(34\) −0.334666 + 0.126922i −0.0573948 + 0.0217670i
\(35\) 0.0393235 + 0.975804i 0.00664689 + 0.164941i
\(36\) 0.814691 + 0.612201i 0.135782 + 0.102033i
\(37\) −10.2465 + 2.09183i −1.68451 + 0.343895i −0.944452 0.328651i \(-0.893406\pi\)
−0.740056 + 0.672545i \(0.765201\pi\)
\(38\) −0.698746 + 0.366730i −0.113352 + 0.0594915i
\(39\) 2.35430 + 2.73080i 0.376989 + 0.437279i
\(40\) 1.58047 + 0.829495i 0.249894 + 0.131155i
\(41\) −10.9589 3.17428i −1.71149 0.495740i −0.729392 0.684096i \(-0.760197\pi\)
−0.982101 + 0.188356i \(0.939684\pi\)
\(42\) 1.61508 0.130383i 0.249213 0.0201185i
\(43\) 0.0781354 0.382732i 0.0119155 0.0583661i −0.973398 0.229120i \(-0.926415\pi\)
0.985314 + 0.170754i \(0.0546203\pi\)
\(44\) 2.16969 + 4.13399i 0.327093 + 0.623223i
\(45\) 0.358605 + 0.477216i 0.0534576 + 0.0711392i
\(46\) 1.06581 1.68545i 0.157145 0.248505i
\(47\) −3.09548 + 2.13666i −0.451522 + 0.311663i −0.772034 0.635581i \(-0.780761\pi\)
0.320512 + 0.947245i \(0.396145\pi\)
\(48\) 0.395830 0.834194i 0.0571331 0.120406i
\(49\) 2.99496 3.11809i 0.427852 0.445441i
\(50\) −3.31693 3.18596i −0.469085 0.450562i
\(51\) −0.0435606 0.358754i −0.00609970 0.0502356i
\(52\) −2.24675 + 2.90736i −0.311568 + 0.403179i
\(53\) 0.293506 2.41724i 0.0403161 0.332033i −0.958570 0.284856i \(-0.908054\pi\)
0.998887 0.0471775i \(-0.0150227\pi\)
\(54\) 0.767182 0.626385i 0.104400 0.0852402i
\(55\) 0.547030 + 2.67953i 0.0737615 + 0.361308i
\(56\) 1.36102 + 4.69877i 0.181873 + 0.627900i
\(57\) −0.190680 0.773620i −0.0252562 0.102468i
\(58\) −0.0227942 + 0.282357i −0.00299303 + 0.0370753i
\(59\) −0.349333 2.14953i −0.0454793 0.279845i 0.954343 0.298714i \(-0.0965576\pi\)
−0.999822 + 0.0188688i \(0.993994\pi\)
\(60\) −0.403392 + 0.455335i −0.0520777 + 0.0587835i
\(61\) 10.2857 7.72924i 1.31696 0.989628i 0.317816 0.948152i \(-0.397051\pi\)
0.999140 0.0414752i \(-0.0132058\pi\)
\(62\) 3.62139 + 4.43539i 0.459917 + 0.563296i
\(63\) −0.262435 + 1.61483i −0.0330637 + 0.203449i
\(64\) 6.66448 + 1.64265i 0.833060 + 0.205331i
\(65\) −1.73791 + 1.26964i −0.215562 + 0.157479i
\(66\) 4.40564 1.08589i 0.542297 0.133664i
\(67\) 0.753898 + 9.33870i 0.0921033 + 1.14090i 0.863431 + 0.504466i \(0.168311\pi\)
−0.771328 + 0.636438i \(0.780407\pi\)
\(68\) 0.349329 0.116623i 0.0423623 0.0141426i
\(69\) 1.39477 + 1.45211i 0.167911 + 0.174813i
\(70\) 0.967237i 0.115607i
\(71\) −8.16152 + 7.83925i −0.968595 + 0.930348i −0.997601 0.0692314i \(-0.977945\pi\)
0.0290059 + 0.999579i \(0.490766\pi\)
\(72\) 2.31618 + 1.89110i 0.272964 + 0.222869i
\(73\) 2.21752 4.22514i 0.259541 0.494515i −0.720462 0.693494i \(-0.756070\pi\)
0.980004 + 0.198979i \(0.0637626\pi\)
\(74\) −10.2235 + 1.66147i −1.18845 + 0.193142i
\(75\) 3.92478 2.48188i 0.453195 0.286583i
\(76\) 0.733574 0.348085i 0.0841467 0.0399281i
\(77\) −4.25777 + 6.16845i −0.485218 + 0.702960i
\(78\) 2.22094 + 2.79633i 0.251472 + 0.316622i
\(79\) 0.0289487 + 0.0419394i 0.00325698 + 0.00471856i 0.824609 0.565703i \(-0.191395\pi\)
−0.821352 + 0.570422i \(0.806780\pi\)
\(80\) 0.477333 + 0.275588i 0.0533674 + 0.0308117i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −10.7185 3.57836i −1.18366 0.395164i
\(83\) −0.274298 + 1.11287i −0.0301082 + 0.122154i −0.984073 0.177765i \(-0.943113\pi\)
0.953965 + 0.299919i \(0.0969595\pi\)
\(84\) −1.66587 + 0.0671321i −0.181761 + 0.00732472i
\(85\) 0.215551 0.00868641i 0.0233798 0.000942173i
\(86\) 0.0925872 0.375641i 0.00998394 0.0405064i
\(87\) −0.271297 0.0905723i −0.0290861 0.00971037i
\(88\) 5.87267 + 12.3764i 0.626028 + 1.31933i
\(89\) 2.30195 + 1.32903i 0.244006 + 0.140877i 0.617016 0.786950i \(-0.288341\pi\)
−0.373011 + 0.927827i \(0.621675\pi\)
\(90\) 0.335849 + 0.486561i 0.0354016 + 0.0512880i
\(91\) −5.80905 1.02469i −0.608954 0.107416i
\(92\) −1.16559 + 1.68865i −0.121521 + 0.176054i
\(93\) −5.22322 + 2.47845i −0.541622 + 0.257003i
\(94\) −3.14854 + 1.99102i −0.324747 + 0.205358i
\(95\) 0.469463 0.0762951i 0.0481659 0.00782772i
\(96\) −2.35419 + 4.48554i −0.240274 + 0.457803i
\(97\) 11.5580 + 9.43681i 1.17354 + 0.958163i 0.999646 0.0266018i \(-0.00846861\pi\)
0.173891 + 0.984765i \(0.444366\pi\)
\(98\) 3.08821 2.96626i 0.311956 0.299638i
\(99\) 4.58139i 0.460447i
\(100\) 3.27814 + 3.41290i 0.327814 + 0.341290i
\(101\) −0.517934 + 0.172912i −0.0515364 + 0.0172054i −0.342319 0.939584i \(-0.611212\pi\)
0.290783 + 0.956789i \(0.406084\pi\)
\(102\) −0.0288010 0.356765i −0.00285173 0.0353250i
\(103\) 14.5901 3.59615i 1.43761 0.354339i 0.557922 0.829893i \(-0.311599\pi\)
0.879686 + 0.475554i \(0.157753\pi\)
\(104\) −6.93051 + 8.25836i −0.679592 + 0.809798i
\(105\) −0.948218 0.233715i −0.0925366 0.0228082i
\(106\) 0.386857 2.38043i 0.0375749 0.231208i
\(107\) −5.09147 6.23592i −0.492211 0.602849i 0.467446 0.884022i \(-0.345174\pi\)
−0.959657 + 0.281172i \(0.909277\pi\)
\(108\) −0.814691 + 0.612201i −0.0783937 + 0.0589090i
\(109\) 6.04305 6.82119i 0.578819 0.653352i −0.384052 0.923311i \(-0.625472\pi\)
0.962872 + 0.269959i \(0.0870103\pi\)
\(110\) 0.434489 + 2.67352i 0.0414269 + 0.254910i
\(111\) 0.841504 10.4239i 0.0798720 0.989392i
\(112\) 0.361510 + 1.46671i 0.0341595 + 0.138591i
\(113\) −4.95308 17.1000i −0.465947 1.60864i −0.758014 0.652238i \(-0.773830\pi\)
0.292067 0.956398i \(-0.405657\pi\)
\(114\) −0.157848 0.773189i −0.0147838 0.0724158i
\(115\) −0.931001 + 0.760139i −0.0868163 + 0.0708833i
\(116\) 0.0351331 0.289347i 0.00326202 0.0268652i
\(117\) −3.27799 + 1.50159i −0.303051 + 0.138822i
\(118\) −0.259981 2.14114i −0.0239332 0.197108i
\(119\) 0.426402 + 0.409564i 0.0390882 + 0.0375447i
\(120\) −1.23646 + 1.28729i −0.112873 + 0.117513i
\(121\) −4.28227 + 9.02470i −0.389298 + 0.820427i
\(122\) 10.4872 7.23877i 0.949463 0.655367i
\(123\) 6.09792 9.64308i 0.549831 0.869487i
\(124\) −3.53938 4.71006i −0.317846 0.422976i
\(125\) 2.67525 + 5.09726i 0.239282 + 0.455913i
\(126\) −0.324109 + 1.58759i −0.0288739 + 0.141434i
\(127\) −10.1227 + 0.817189i −0.898244 + 0.0725138i −0.520957 0.853583i \(-0.674425\pi\)
−0.377287 + 0.926096i \(0.623143\pi\)
\(128\) −3.20182 0.927417i −0.283003 0.0819729i
\(129\) 0.345883 + 0.181533i 0.0304533 + 0.0159831i
\(130\) −1.77050 + 1.18714i −0.155283 + 0.104119i
\(131\) −9.30852 + 4.88549i −0.813289 + 0.426847i −0.819462 0.573134i \(-0.805727\pi\)
0.00617282 + 0.999981i \(0.498035\pi\)
\(132\) −4.57442 + 0.933875i −0.398152 + 0.0812834i
\(133\) 1.04210 + 0.783086i 0.0903614 + 0.0679022i
\(134\) 0.373640 + 9.27178i 0.0322776 + 0.800960i
\(135\) −0.558145 + 0.211676i −0.0480375 + 0.0182182i
\(136\) 1.03794 0.300643i 0.0890026 0.0257799i
\(137\) 21.5147 + 4.39226i 1.83813 + 0.375256i 0.988388 0.151951i \(-0.0485555\pi\)
0.849737 + 0.527207i \(0.176761\pi\)
\(138\) 1.32237 + 1.49265i 0.112568 + 0.127063i
\(139\) 8.87511 10.8700i 0.752777 0.921984i −0.246106 0.969243i \(-0.579151\pi\)
0.998883 + 0.0472587i \(0.0150485\pi\)
\(140\) 0.0400736 0.994416i 0.00338684 0.0840435i
\(141\) −1.19108 3.56772i −0.100307 0.300456i
\(142\) −8.38939 + 7.43235i −0.704022 + 0.623709i
\(143\) −16.5169 0.222851i −1.38122 0.0186357i
\(144\) 0.691132 + 0.612289i 0.0575943 + 0.0510241i
\(145\) 0.0669219 0.157071i 0.00555756 0.0130441i
\(146\) 2.36299 4.09282i 0.195563 0.338724i
\(147\) 2.16173 + 3.74422i 0.178296 + 0.308818i
\(148\) 10.5796 1.28459i 0.869635 0.105593i
\(149\) −8.11385 3.85007i −0.664712 0.315410i 0.0662745 0.997801i \(-0.478889\pi\)
−0.730987 + 0.682391i \(0.760940\pi\)
\(150\) 3.98300 2.29958i 0.325210 0.187760i
\(151\) 16.2499 + 11.2165i 1.32240 + 0.912788i 0.999435 0.0336222i \(-0.0107043\pi\)
0.322967 + 0.946410i \(0.395320\pi\)
\(152\) 2.19182 0.933846i 0.177780 0.0757449i
\(153\) 0.356709 + 0.0579708i 0.0288382 + 0.00468666i
\(154\) −4.45955 + 5.93458i −0.359361 + 0.478222i
\(155\) −1.22379 3.22686i −0.0982970 0.259188i
\(156\) −2.16749 2.96692i −0.173538 0.237544i
\(157\) 1.37163 3.61669i 0.109468 0.288643i −0.869077 0.494677i \(-0.835286\pi\)
0.978545 + 0.206034i \(0.0660557\pi\)
\(158\) 0.0269755 + 0.0426583i 0.00214606 + 0.00339371i
\(159\) 2.24014 + 0.954436i 0.177655 + 0.0756917i
\(160\) −2.55582 1.61620i −0.202055 0.127772i
\(161\) −3.27002 0.397053i −0.257714 0.0312921i
\(162\) 0.388211 + 0.911164i 0.0305007 + 0.0715878i
\(163\) 2.15496 6.45490i 0.168790 0.505587i −0.829835 0.558008i \(-0.811566\pi\)
0.998625 + 0.0524214i \(0.0166939\pi\)
\(164\) 10.8714 + 4.12298i 0.848915 + 0.321951i
\(165\) −2.72593 0.220060i −0.212213 0.0171316i
\(166\) −0.315831 + 1.09037i −0.0245132 + 0.0846295i
\(167\) −19.7789 0.797063i −1.53054 0.0616786i −0.739380 0.673289i \(-0.764881\pi\)
−0.791159 + 0.611610i \(0.790522\pi\)
\(168\) −4.89192 −0.377419
\(169\) −5.25410 11.8909i −0.404162 0.914688i
\(170\) 0.213659 0.0163869
\(171\) 0.796126 + 0.0320828i 0.0608813 + 0.00245343i
\(172\) −0.110752 + 0.382360i −0.00844476 + 0.0291547i
\(173\) 9.93724 + 0.802217i 0.755514 + 0.0609914i 0.452221 0.891906i \(-0.350632\pi\)
0.303293 + 0.952897i \(0.401914\pi\)
\(174\) −0.264867 0.100451i −0.0200796 0.00761517i
\(175\) −2.40576 + 7.20613i −0.181858 + 0.544732i
\(176\) 1.65809 + 3.89169i 0.124984 + 0.293347i
\(177\) 2.16185 + 0.262497i 0.162495 + 0.0197305i
\(178\) 2.22504 + 1.40703i 0.166774 + 0.105461i
\(179\) 8.76633 + 3.73498i 0.655226 + 0.279166i 0.693884 0.720087i \(-0.255898\pi\)
−0.0386579 + 0.999253i \(0.512308\pi\)
\(180\) −0.325127 0.514147i −0.0242335 0.0383223i
\(181\) 6.22398 16.4113i 0.462625 1.21984i −0.477385 0.878694i \(-0.658415\pi\)
0.940010 0.341147i \(-0.110815\pi\)
\(182\) −5.70785 1.24571i −0.423094 0.0923382i
\(183\) 4.56240 + 12.0301i 0.337262 + 0.889287i
\(184\) −3.61678 + 4.81306i −0.266633 + 0.354823i
\(185\) 6.16180 + 1.00139i 0.453024 + 0.0736236i
\(186\) −5.26781 + 2.24440i −0.386255 + 0.164568i
\(187\) 1.36258 + 0.940524i 0.0996420 + 0.0687779i
\(188\) 3.31950 1.91652i 0.242100 0.139776i
\(189\) −1.47806 0.701347i −0.107513 0.0510155i
\(190\) 0.467630 0.0567805i 0.0339254 0.00411929i
\(191\) −6.67815 11.5669i −0.483214 0.836952i 0.516600 0.856227i \(-0.327197\pi\)
−0.999814 + 0.0192753i \(0.993864\pi\)
\(192\) −3.43197 + 5.94434i −0.247681 + 0.428996i
\(193\) 3.56156 8.35928i 0.256366 0.601714i −0.741212 0.671272i \(-0.765748\pi\)
0.997578 + 0.0695575i \(0.0221587\pi\)
\(194\) 11.0616 + 9.79974i 0.794178 + 0.703580i
\(195\) −0.735991 2.02253i −0.0527054 0.144837i
\(196\) −3.29788 + 2.92167i −0.235563 + 0.208690i
\(197\) −6.28127 18.8147i −0.447522 1.34049i −0.894948 0.446171i \(-0.852787\pi\)
0.447426 0.894321i \(-0.352341\pi\)
\(198\) −0.182706 + 4.53381i −0.0129844 + 0.322204i
\(199\) −5.70223 + 6.98396i −0.404220 + 0.495080i −0.936097 0.351742i \(-0.885590\pi\)
0.531877 + 0.846822i \(0.321487\pi\)
\(200\) 9.20761 + 10.3932i 0.651076 + 0.734913i
\(201\) −9.17974 1.87406i −0.647489 0.132186i
\(202\) −0.519451 + 0.150461i −0.0365484 + 0.0105864i
\(203\) 0.437520 0.165929i 0.0307079 0.0116460i
\(204\) 0.0148292 + 0.367983i 0.00103825 + 0.0257640i
\(205\) 5.44473 + 4.09145i 0.380277 + 0.285759i
\(206\) 14.5820 2.97694i 1.01598 0.207413i
\(207\) −1.78283 + 0.935699i −0.123915 + 0.0650356i
\(208\) −2.24106 + 2.46190i −0.155389 + 0.170702i
\(209\) 3.23220 + 1.69639i 0.223576 + 0.117342i
\(210\) −0.929049 0.269102i −0.0641105 0.0185698i
\(211\) 4.73800 0.382491i 0.326177 0.0263318i 0.0837066 0.996490i \(-0.473324\pi\)
0.242471 + 0.970159i \(0.422042\pi\)
\(212\) −0.496351 + 2.43129i −0.0340895 + 0.166982i
\(213\) −5.25906 10.0203i −0.360345 0.686580i
\(214\) −4.78990 6.37420i −0.327431 0.435732i
\(215\) −0.124626 + 0.197081i −0.00849944 + 0.0134408i
\(216\) −2.46084 + 1.69859i −0.167439 + 0.115575i
\(217\) 4.05477 8.54526i 0.275256 0.580090i
\(218\) 6.25232 6.50935i 0.423460 0.440869i
\(219\) 3.44137 + 3.30548i 0.232546 + 0.223363i
\(220\) −0.335931 2.76664i −0.0226485 0.186527i
\(221\) −0.226349 + 1.28319i −0.0152259 + 0.0863170i
\(222\) 1.24847 10.2821i 0.0837918 0.690087i
\(223\) −2.96399 + 2.42002i −0.198484 + 0.162057i −0.726475 0.687193i \(-0.758843\pi\)
0.527991 + 0.849250i \(0.322945\pi\)
\(224\) −1.65775 8.12022i −0.110763 0.542555i
\(225\) 1.29195 + 4.46033i 0.0861300 + 0.297355i
\(226\) −4.21969 17.1200i −0.280690 1.13880i
\(227\) −1.63485 + 20.2513i −0.108509 + 1.34412i 0.681856 + 0.731487i \(0.261173\pi\)
−0.790365 + 0.612637i \(0.790109\pi\)
\(228\) 0.130249 + 0.801455i 0.00862596 + 0.0530776i
\(229\) −4.82941 + 5.45127i −0.319136 + 0.360230i −0.886085 0.463523i \(-0.846585\pi\)
0.566949 + 0.823753i \(0.308124\pi\)
\(230\) −0.951646 + 0.715115i −0.0627497 + 0.0471533i
\(231\) −4.74032 5.80584i −0.311890 0.381996i
\(232\) 0.137189 0.844155i 0.00900687 0.0554215i
\(233\) 15.1100 + 3.72429i 0.989890 + 0.243986i 0.700833 0.713326i \(-0.252812\pi\)
0.289058 + 0.957312i \(0.406658\pi\)
\(234\) −3.30383 + 1.35526i −0.215978 + 0.0885964i
\(235\) 2.18001 0.537323i 0.142208 0.0350511i
\(236\) 0.178577 + 2.21207i 0.0116244 + 0.143994i
\(237\) −0.0483376 + 0.0161375i −0.00313987 + 0.00104824i
\(238\) 0.405640 + 0.422315i 0.0262937 + 0.0273746i
\(239\) 9.36882i 0.606019i 0.952988 + 0.303009i \(0.0979914\pi\)
−0.952988 + 0.303009i \(0.902009\pi\)
\(240\) −0.397510 + 0.381813i −0.0256591 + 0.0246459i
\(241\) −1.62306 1.32519i −0.104550 0.0853627i 0.578728 0.815520i \(-0.303549\pi\)
−0.683279 + 0.730158i \(0.739447\pi\)
\(242\) −4.59770 + 8.76019i −0.295552 + 0.563126i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −11.0818 + 7.00768i −0.709437 + 0.448620i
\(245\) −2.33165 + 1.10638i −0.148964 + 0.0706841i
\(246\) 6.41915 9.29974i 0.409270 0.592930i
\(247\) −0.154391 + 2.86865i −0.00982368 + 0.182528i
\(248\) −9.82027 14.2271i −0.623588 0.903423i
\(249\) −0.992619 0.573089i −0.0629047 0.0363180i
\(250\) 2.44419 + 5.15101i 0.154584 + 0.325779i
\(251\) −12.2439 4.08762i −0.772830 0.258009i −0.0972152 0.995263i \(-0.530993\pi\)
−0.675615 + 0.737255i \(0.736122\pi\)
\(252\) 0.398992 1.61877i 0.0251341 0.101973i
\(253\) −9.21694 + 0.371430i −0.579464 + 0.0233516i
\(254\) −10.0502 + 0.405007i −0.630603 + 0.0254124i
\(255\) −0.0516266 + 0.209457i −0.00323298 + 0.0131167i
\(256\) −16.1530 5.39265i −1.00956 0.337041i
\(257\) −6.83258 14.3994i −0.426205 0.898208i −0.997021 0.0771298i \(-0.975424\pi\)
0.570816 0.821078i \(-0.306627\pi\)
\(258\) 0.335051 + 0.193442i 0.0208594 + 0.0120432i
\(259\) 9.71908 + 14.0805i 0.603915 + 0.874921i
\(260\) 1.86943 1.14715i 0.115937 0.0711430i
\(261\) 0.162476 0.235387i 0.0100570 0.0145701i
\(262\) −9.40667 + 4.46352i −0.581146 + 0.275757i
\(263\) 17.2721 10.9222i 1.06505 0.673494i 0.117486 0.993075i \(-0.462516\pi\)
0.947559 + 0.319581i \(0.103542\pi\)
\(264\) −13.5216 + 2.19748i −0.832198 + 0.135245i
\(265\) −0.675491 + 1.28704i −0.0414951 + 0.0790623i
\(266\) 1.00005 + 0.816512i 0.0613167 + 0.0500636i
\(267\) −1.91700 + 1.84130i −0.117318 + 0.112686i
\(268\) 9.54779i 0.583224i
\(269\) −5.26157 5.47788i −0.320804 0.333992i 0.541200 0.840894i \(-0.317970\pi\)
−0.862004 + 0.506902i \(0.830791\pi\)
\(270\) −0.560790 + 0.187219i −0.0341286 + 0.0113938i
\(271\) −2.32996 28.8617i −0.141535 1.75323i −0.545188 0.838314i \(-0.683542\pi\)
0.403653 0.914912i \(-0.367740\pi\)
\(272\) 0.323989 0.0798562i 0.0196447 0.00484199i
\(273\) 2.60041 5.29461i 0.157384 0.320445i
\(274\) 21.1161 + 5.20465i 1.27567 + 0.314424i
\(275\) −3.41266 + 20.9990i −0.205791 + 1.26628i
\(276\) −1.29769 1.58938i −0.0781117 0.0956694i
\(277\) 1.67714 1.26029i 0.100770 0.0757235i −0.549163 0.835715i \(-0.685053\pi\)
0.649933 + 0.759992i \(0.274797\pi\)
\(278\) 9.21643 10.4032i 0.552765 0.623942i
\(279\) −0.927403 5.70654i −0.0555222 0.341642i
\(280\) 0.234975 2.91069i 0.0140425 0.173947i
\(281\) −0.906963 3.67969i −0.0541049 0.219512i 0.937666 0.347538i \(-0.112982\pi\)
−0.991771 + 0.128026i \(0.959136\pi\)
\(282\) −1.03643 3.57817i −0.0617184 0.213077i
\(283\) −1.43159 7.01239i −0.0850992 0.416843i −0.999916 0.0129740i \(-0.995870\pi\)
0.914817 0.403869i \(-0.132335\pi\)
\(284\) 8.93305 7.29361i 0.530079 0.432796i
\(285\) −0.0573299 + 0.472154i −0.00339593 + 0.0279680i
\(286\) −16.3365 0.879233i −0.965998 0.0519902i
\(287\) 2.24992 + 18.5298i 0.132809 + 1.09378i
\(288\) −3.65346 3.50920i −0.215282 0.206781i
\(289\) −11.6858 + 12.1663i −0.687403 + 0.715662i
\(290\) 0.0724908 0.152771i 0.00425681 0.00897104i
\(291\) −12.2799 + 8.47618i −0.719859 + 0.496882i
\(292\) −2.59896 + 4.10992i −0.152093 + 0.240515i
\(293\) −17.1423 22.8122i −1.00146 1.33270i −0.942414 0.334448i \(-0.891450\pi\)
−0.0590475 0.998255i \(-0.518806\pi\)
\(294\) 1.98996 + 3.79155i 0.116057 + 0.221128i
\(295\) −0.260027 + 1.27370i −0.0151393 + 0.0741574i
\(296\) 31.1689 2.51622i 1.81166 0.146252i
\(297\) −4.40051 1.27462i −0.255343 0.0739611i
\(298\) −7.87604 4.13366i −0.456247 0.239457i
\(299\) −3.28668 6.47300i −0.190074 0.374343i
\(300\) −4.19019 + 2.19918i −0.241921 + 0.126970i
\(301\) −0.626155 + 0.127831i −0.0360910 + 0.00736803i
\(302\) 15.6339 + 11.7481i 0.899627 + 0.676026i
\(303\) −0.0219866 0.545592i −0.00126310 0.0313435i
\(304\) 0.687885 0.260881i 0.0394529 0.0149625i
\(305\) −7.37704 + 2.13678i −0.422408 + 0.122352i
\(306\) 0.350692 + 0.0715943i 0.0200477 + 0.00409277i
\(307\) −5.07486 5.72834i −0.289638 0.326933i 0.585624 0.810583i \(-0.300849\pi\)
−0.875262 + 0.483649i \(0.839311\pi\)
\(308\) 4.83073 5.91657i 0.275257 0.337128i
\(309\) −0.605068 + 15.0146i −0.0344211 + 0.854151i
\(310\) −1.08239 3.24215i −0.0614756 0.184142i
\(311\) 0.382796 0.339128i 0.0217064 0.0192302i −0.652200 0.758047i \(-0.726154\pi\)
0.673906 + 0.738817i \(0.264615\pi\)
\(312\) −6.00411 8.95450i −0.339916 0.506949i
\(313\) 0.519236 + 0.460003i 0.0293490 + 0.0260009i 0.677670 0.735366i \(-0.262990\pi\)
−0.648321 + 0.761367i \(0.724528\pi\)
\(314\) 1.50162 3.52442i 0.0847411 0.198895i
\(315\) 0.488298 0.845757i 0.0275125 0.0476530i
\(316\) −0.0259661 0.0449746i −0.00146071 0.00253002i
\(317\) 25.7975 3.13238i 1.44893 0.175932i 0.642058 0.766656i \(-0.278081\pi\)
0.806874 + 0.590724i \(0.201158\pi\)
\(318\) 2.17881 + 1.03386i 0.122182 + 0.0579760i
\(319\) 1.13480 0.655177i 0.0635366 0.0366829i
\(320\) −3.37203 2.32755i −0.188502 0.130114i
\(321\) 7.40625 3.15551i 0.413377 0.176123i
\(322\) −3.22023 0.523338i −0.179456 0.0291645i
\(323\) 0.172980 0.230195i 0.00962489 0.0128084i
\(324\) −0.361368 0.952850i −0.0200760 0.0529361i
\(325\) −16.1433 + 4.44080i −0.895470 + 0.246331i
\(326\) 2.39000 6.30192i 0.132370 0.349031i
\(327\) 4.87060 + 7.70223i 0.269345 + 0.425935i
\(328\) 31.3857 + 13.3722i 1.73298 + 0.738356i
\(329\) 5.20090 + 3.28885i 0.286735 + 0.181320i
\(330\) −2.68884 0.326485i −0.148016 0.0179724i
\(331\) 10.0902 + 23.6827i 0.554610 + 1.30172i 0.927494 + 0.373839i \(0.121959\pi\)
−0.372884 + 0.927878i \(0.621631\pi\)
\(332\) 0.369881 1.10793i 0.0202998 0.0608055i
\(333\) 9.77822 + 3.70839i 0.535843 + 0.203218i
\(334\) −19.5417 1.57757i −1.06928 0.0863208i
\(335\) 1.55600 5.37193i 0.0850133 0.293500i
\(336\) −1.50938 0.0608258i −0.0823432 0.00331832i
\(337\) −1.90027 −0.103515 −0.0517573 0.998660i \(-0.516482\pi\)
−0.0517573 + 0.998660i \(0.516482\pi\)
\(338\) −4.72532 11.9770i −0.257024 0.651462i
\(339\) 17.8029 0.966922
\(340\) −0.219662 0.00885209i −0.0119129 0.000480072i
\(341\) 7.36912 25.4411i 0.399060 1.37772i
\(342\) 0.786578 + 0.0634992i 0.0425333 + 0.00343364i
\(343\) −17.3215 6.56917i −0.935273 0.354702i
\(344\) −0.369877 + 1.10792i −0.0199425 + 0.0597350i
\(345\) −0.471106 1.10573i −0.0253635 0.0595303i
\(346\) 9.80204 + 1.19018i 0.526961 + 0.0639846i
\(347\) 8.54842 + 5.40569i 0.458903 + 0.290193i 0.743845 0.668352i \(-0.233000\pi\)
−0.284942 + 0.958545i \(0.591974\pi\)
\(348\) 0.268148 + 0.114247i 0.0143743 + 0.00612430i
\(349\) −8.47877 13.4081i −0.453858 0.717720i 0.538294 0.842757i \(-0.319069\pi\)
−0.992152 + 0.125038i \(0.960095\pi\)
\(350\) −2.66816 + 7.03535i −0.142619 + 0.376055i
\(351\) −0.530306 3.56634i −0.0283056 0.190357i
\(352\) −8.22980 21.7002i −0.438650 1.15662i
\(353\) 4.62194 6.15068i 0.246001 0.327368i −0.659506 0.751699i \(-0.729234\pi\)
0.905507 + 0.424332i \(0.139491\pi\)
\(354\) 2.12893 + 0.345985i 0.113152 + 0.0183889i
\(355\) 6.21470 2.64784i 0.329842 0.140532i
\(356\) −2.22926 1.53875i −0.118151 0.0815536i
\(357\) −0.512026 + 0.295618i −0.0270993 + 0.0156458i
\(358\) 8.52633 + 4.04579i 0.450631 + 0.213827i
\(359\) −18.1757 + 2.20693i −0.959277 + 0.116477i −0.585172 0.810909i \(-0.698973\pi\)
−0.374105 + 0.927386i \(0.622050\pi\)
\(360\) −0.892462 1.54579i −0.0470369 0.0814703i
\(361\) −9.18258 + 15.9047i −0.483294 + 0.837089i
\(362\) 6.81382 15.9926i 0.358126 0.840554i
\(363\) −7.47698 6.62403i −0.392440 0.347671i
\(364\) 5.81663 + 1.51719i 0.304874 + 0.0795226i
\(365\) −2.13206 + 1.88884i −0.111597 + 0.0988665i
\(366\) 4.03525 + 12.0871i 0.210926 + 0.631801i
\(367\) −0.528357 + 13.1110i −0.0275800 + 0.684391i 0.924976 + 0.380027i \(0.124085\pi\)
−0.952556 + 0.304365i \(0.901556\pi\)
\(368\) −1.17578 + 1.44007i −0.0612920 + 0.0750691i
\(369\) 7.56581 + 8.54003i 0.393860 + 0.444576i
\(370\) 6.05787 + 1.23672i 0.314934 + 0.0642941i
\(371\) −3.82640 + 1.10833i −0.198657 + 0.0575416i
\(372\) 5.50882 2.08922i 0.285619 0.108321i
\(373\) 0.618116 + 15.3384i 0.0320048 + 0.794191i 0.932896 + 0.360146i \(0.117273\pi\)
−0.900891 + 0.434045i \(0.857086\pi\)
\(374\) 1.31092 + 0.985096i 0.0677863 + 0.0509381i
\(375\) −5.64031 + 1.15148i −0.291265 + 0.0594621i
\(376\) 9.95854 5.22665i 0.513573 0.269544i
\(377\) 0.840720 + 0.597212i 0.0432993 + 0.0307580i
\(378\) −1.43474 0.753008i −0.0737949 0.0387306i
\(379\) −2.90406 0.841171i −0.149171 0.0432080i 0.202792 0.979222i \(-0.434999\pi\)
−0.351963 + 0.936014i \(0.614486\pi\)
\(380\) −0.483122 + 0.0390016i −0.0247836 + 0.00200074i
\(381\) 2.03139 9.95039i 0.104071 0.509774i
\(382\) −6.14751 11.7131i −0.314534 0.599294i
\(383\) 13.0987 + 17.4312i 0.669312 + 0.890692i 0.998565 0.0535495i \(-0.0170535\pi\)
−0.329253 + 0.944242i \(0.606797\pi\)
\(384\) 1.78160 2.81738i 0.0909170 0.143774i
\(385\) 3.68217 2.54162i 0.187661 0.129533i
\(386\) 3.85793 8.13043i 0.196364 0.413828i
\(387\) −0.270597 + 0.281721i −0.0137552 + 0.0143207i
\(388\) −10.9664 10.5334i −0.556736 0.534752i
\(389\) 0.995365 + 8.19757i 0.0504670 + 0.415633i 0.995946 + 0.0899507i \(0.0286709\pi\)
−0.945479 + 0.325682i \(0.894406\pi\)
\(390\) −0.647688 2.03088i −0.0327970 0.102838i
\(391\) −0.0877073 + 0.722335i −0.00443555 + 0.0365300i
\(392\) −10.0139 + 8.17610i −0.505779 + 0.412955i
\(393\) −2.10281 10.3002i −0.106073 0.519578i
\(394\) −5.46570 18.8698i −0.275358 0.950646i
\(395\) −0.00727998 0.0295360i −0.000366296 0.00148612i
\(396\) 0.375680 4.65364i 0.0188786 0.233854i
\(397\) −2.82445 17.3796i −0.141755 0.872256i −0.956350 0.292225i \(-0.905605\pi\)
0.814594 0.580031i \(-0.196960\pi\)
\(398\) −5.92153 + 6.68402i −0.296819 + 0.335040i
\(399\) −1.04210 + 0.783086i −0.0521702 + 0.0392033i
\(400\) 2.71173 + 3.32127i 0.135587 + 0.166063i
\(401\) −0.837312 + 5.15219i −0.0418134 + 0.257288i −0.999538 0.0303991i \(-0.990322\pi\)
0.957724 + 0.287687i \(0.0928863\pi\)
\(402\) −9.00967 2.22068i −0.449361 0.110758i
\(403\) 20.6185 3.06591i 1.02708 0.152724i
\(404\) 0.540281 0.133167i 0.0268800 0.00662532i
\(405\) −0.0480334 0.595000i −0.00238680 0.0295658i
\(406\) 0.439593 0.146758i 0.0218166 0.00728346i
\(407\) 33.1893 + 34.5537i 1.64513 + 1.71277i
\(408\) 1.08060i 0.0534979i
\(409\) −19.7369 + 18.9575i −0.975924 + 0.937388i −0.998053 0.0623670i \(-0.980135\pi\)
0.0221289 + 0.999755i \(0.492956\pi\)
\(410\) 5.22502 + 4.26609i 0.258045 + 0.210687i
\(411\) −10.2046 + 19.4433i −0.503356 + 0.959065i
\(412\) −15.1151 + 2.45644i −0.744667 + 0.121020i
\(413\) −3.01124 + 1.90420i −0.148174 + 0.0936993i
\(414\) −1.80163 + 0.854882i −0.0885451 + 0.0420152i
\(415\) 0.388667 0.563081i 0.0190789 0.0276406i
\(416\) 12.8292 13.0008i 0.629001 0.637419i
\(417\) 7.97166 + 11.5489i 0.390374 + 0.565554i
\(418\) 3.13098 + 1.80767i 0.153141 + 0.0884162i
\(419\) −11.7141 24.6870i −0.572273 1.20604i −0.958884 0.283798i \(-0.908406\pi\)
0.386611 0.922243i \(-0.373646\pi\)
\(420\) 0.944005 + 0.315155i 0.0460627 + 0.0153780i
\(421\) 8.94157 36.2774i 0.435786 1.76805i −0.183637 0.982994i \(-0.558787\pi\)
0.619423 0.785058i \(-0.287367\pi\)
\(422\) 4.70405 0.189567i 0.228989 0.00922796i
\(423\) 3.75824 0.151452i 0.182732 0.00736384i
\(424\) −1.74245 + 7.06941i −0.0846209 + 0.343321i
\(425\) 1.59180 + 0.531422i 0.0772138 + 0.0257778i
\(426\) −4.80483 10.1260i −0.232795 0.490605i
\(427\) −18.2291 10.5246i −0.882170 0.509321i
\(428\) 4.66040 + 6.75176i 0.225269 + 0.326359i
\(429\) 4.80935 15.8028i 0.232198 0.762967i
\(430\) −0.131191 + 0.190064i −0.00632661 + 0.00916568i
\(431\) −28.6178 + 13.5793i −1.37847 + 0.654092i −0.966396 0.257058i \(-0.917247\pi\)
−0.412074 + 0.911150i \(0.635196\pi\)
\(432\) −0.780400 + 0.493495i −0.0375470 + 0.0237433i
\(433\) −32.2851 + 5.24684i −1.55152 + 0.252147i −0.874944 0.484224i \(-0.839102\pi\)
−0.676578 + 0.736371i \(0.736538\pi\)
\(434\) 4.35345 8.29480i 0.208972 0.398163i
\(435\) 0.132251 + 0.107980i 0.00634095 + 0.00517723i
\(436\) −6.69769 + 6.43322i −0.320761 + 0.308095i
\(437\) 1.60427i 0.0767424i
\(438\) 3.27380 + 3.40839i 0.156428 + 0.162859i
\(439\) −8.77202 + 2.92853i −0.418666 + 0.139771i −0.518193 0.855264i \(-0.673395\pi\)
0.0995274 + 0.995035i \(0.468267\pi\)
\(440\) −0.658010 8.15092i −0.0313694 0.388580i
\(441\) −4.19783 + 1.03467i −0.199896 + 0.0492701i
\(442\) −0.275172 + 1.26084i −0.0130886 + 0.0599721i
\(443\) 27.9545 + 6.89016i 1.32816 + 0.327361i 0.838666 0.544647i \(-0.183336\pi\)
0.489492 + 0.872008i \(0.337182\pi\)
\(444\) −1.70955 + 10.5193i −0.0811315 + 0.499222i
\(445\) −1.00350 1.22906i −0.0475702 0.0582630i
\(446\) −3.02972 + 2.27669i −0.143461 + 0.107804i
\(447\) 5.95548 6.72234i 0.281684 0.317956i
\(448\) −1.80134 11.0841i −0.0851052 0.523673i
\(449\) −0.536920 + 6.65095i −0.0253388 + 0.313878i 0.971655 + 0.236402i \(0.0759681\pi\)
−0.996994 + 0.0774759i \(0.975314\pi\)
\(450\) 1.10065 + 4.46553i 0.0518853 + 0.210507i
\(451\) 14.5426 + 50.2070i 0.684786 + 2.36416i
\(452\) 3.62896 + 17.7758i 0.170692 + 0.836105i
\(453\) −15.2947 + 12.4877i −0.718607 + 0.586725i
\(454\) −2.42549 + 19.9757i −0.113834 + 0.937508i
\(455\) 3.02539 + 1.80156i 0.141832 + 0.0844586i
\(456\) 0.287174 + 2.36509i 0.0134482 + 0.110756i
\(457\) −6.41433 6.16105i −0.300050 0.288202i 0.527546 0.849527i \(-0.323112\pi\)
−0.827596 + 0.561325i \(0.810292\pi\)
\(458\) −4.99665 + 5.20206i −0.233478 + 0.243076i
\(459\) −0.154925 + 0.326497i −0.00723126 + 0.0152396i
\(460\) 1.00801 0.695782i 0.0469989 0.0324410i
\(461\) 2.38138 3.76585i 0.110912 0.175393i −0.785172 0.619277i \(-0.787426\pi\)
0.896084 + 0.443885i \(0.146400\pi\)
\(462\) −4.45955 5.93458i −0.207477 0.276102i
\(463\) 4.84588 + 9.23306i 0.225207 + 0.429097i 0.971674 0.236326i \(-0.0759434\pi\)
−0.746466 + 0.665423i \(0.768251\pi\)
\(464\) 0.0528250 0.258754i 0.00245234 0.0120124i
\(465\) 3.43994 0.277701i 0.159523 0.0128781i
\(466\) 14.8046 + 4.28820i 0.685808 + 0.198647i
\(467\) 20.9596 + 11.0004i 0.969893 + 0.509039i 0.873775 0.486331i \(-0.161665\pi\)
0.0961185 + 0.995370i \(0.469357\pi\)
\(468\) 3.45282 1.25646i 0.159606 0.0580801i
\(469\) 13.5722 7.12326i 0.626707 0.328921i
\(470\) 2.17879 0.444804i 0.100500 0.0205173i
\(471\) 3.09228 + 2.32370i 0.142485 + 0.107070i
\(472\) 0.262201 + 6.50645i 0.0120688 + 0.299484i
\(473\) −1.67332 + 0.634606i −0.0769392 + 0.0291792i
\(474\) −0.0484792 + 0.0140422i −0.00222672 + 0.000644978i
\(475\) 3.62517 + 0.740084i 0.166334 + 0.0339574i
\(476\) −0.399541 0.450988i −0.0183129 0.0206710i
\(477\) −1.54000 + 1.88616i −0.0705118 + 0.0863612i
\(478\) −0.373629 + 9.27152i −0.0170894 + 0.424069i
\(479\) 4.68320 + 14.0279i 0.213981 + 0.640951i 0.999748 + 0.0224288i \(0.00713992\pi\)
−0.785768 + 0.618522i \(0.787732\pi\)
\(480\) 2.26346 2.00525i 0.103312 0.0915268i
\(481\) −13.8452 + 35.0723i −0.631287 + 1.59916i
\(482\) −1.55335 1.37615i −0.0707532 0.0626819i
\(483\) 1.29115 3.03045i 0.0587495 0.137890i
\(484\) 5.08984 8.81586i 0.231356 0.400721i
\(485\) −4.45349 7.71366i −0.202222 0.350259i
\(486\) −0.983196 + 0.119382i −0.0445987 + 0.00541526i
\(487\) 6.11241 + 2.90038i 0.276980 + 0.131429i 0.562116 0.827058i \(-0.309987\pi\)
−0.285136 + 0.958487i \(0.592039\pi\)
\(488\) −33.3174 + 19.2358i −1.50821 + 0.870764i
\(489\) 5.60050 + 3.86575i 0.253263 + 0.174815i
\(490\) −2.35156 + 1.00190i −0.106232 + 0.0452614i
\(491\) 42.7847 + 6.95320i 1.93085 + 0.313793i 0.998819 0.0485891i \(-0.0154725\pi\)
0.932029 + 0.362382i \(0.118037\pi\)
\(492\) −6.98482 + 9.29511i −0.314900 + 0.419056i
\(493\) −0.0366531 0.0966462i −0.00165077 0.00435273i
\(494\) −0.267190 + 2.83270i −0.0120214 + 0.127449i
\(495\) 0.969773 2.55708i 0.0435880 0.114932i
\(496\) −2.85310 4.51181i −0.128108 0.202586i
\(497\) 17.0325 + 7.25688i 0.764014 + 0.325516i
\(498\) −0.959455 0.606723i −0.0429942 0.0271879i
\(499\) −15.9643 1.93842i −0.714661 0.0867756i −0.244874 0.969555i \(-0.578746\pi\)
−0.469788 + 0.882779i \(0.655670\pi\)
\(500\) −2.29945 5.39701i −0.102835 0.241362i
\(501\) 6.26844 18.7763i 0.280053 0.838861i
\(502\) −11.9537 4.53346i −0.533522 0.202338i
\(503\) 4.74994 + 0.383455i 0.211789 + 0.0170974i 0.185906 0.982568i \(-0.440478\pi\)
0.0258835 + 0.999665i \(0.491760\pi\)
\(504\) 1.36102 4.69877i 0.0606245 0.209300i
\(505\) 0.325684 + 0.0131246i 0.0144927 + 0.000584037i
\(506\) −9.13603 −0.406146
\(507\) 12.8832 1.73839i 0.572165 0.0772048i
\(508\) 10.3493 0.459178
\(509\) −0.297992 0.0120087i −0.0132083 0.000532275i 0.0336609 0.999433i \(-0.489283\pi\)
−0.0468692 + 0.998901i \(0.514924\pi\)
\(510\) −0.0594436 + 0.205223i −0.00263221 + 0.00908743i
\(511\) −7.78127 0.628169i −0.344223 0.0277885i
\(512\) −9.53652 3.61673i −0.421459 0.159838i
\(513\) −0.252312 + 0.755768i −0.0111399 + 0.0333680i
\(514\) −6.18737 14.5223i −0.272913 0.640551i
\(515\) −8.90463 1.08122i −0.392385 0.0476441i
\(516\) −0.336451 0.212759i −0.0148114 0.00936618i
\(517\) 15.8530 + 6.75435i 0.697216 + 0.297056i
\(518\) 9.05661 + 14.3219i 0.397925 + 0.629267i
\(519\) −3.53526 + 9.32171i −0.155181 + 0.409178i
\(520\) 5.61633 3.14233i 0.246292 0.137800i
\(521\) 12.1756 + 32.1043i 0.533421 + 1.40652i 0.882895 + 0.469571i \(0.155591\pi\)
−0.349473 + 0.936946i \(0.613640\pi\)
\(522\) 0.170176 0.226463i 0.00744839 0.00991201i
\(523\) 28.1909 + 4.58147i 1.23270 + 0.200334i 0.741644 0.670794i \(-0.234046\pi\)
0.491058 + 0.871127i \(0.336610\pi\)
\(524\) 9.85592 4.19921i 0.430558 0.183444i
\(525\) −6.25230 4.31565i −0.272873 0.188350i
\(526\) 17.5283 10.1200i 0.764271 0.441252i
\(527\) −1.88761 0.895683i −0.0822256 0.0390166i
\(528\) −4.19935 + 0.509893i −0.182753 + 0.0221903i
\(529\) 9.47300 + 16.4077i 0.411870 + 0.713379i
\(530\) −0.719803 + 1.24674i −0.0312663 + 0.0541547i
\(531\) −0.853598 + 2.00347i −0.0370430 + 0.0869431i
\(532\) −0.994317 0.880888i −0.0431091 0.0381913i
\(533\) −31.1567 + 26.8610i −1.34955 + 1.16348i
\(534\) −1.97052 + 1.74573i −0.0852727 + 0.0755451i
\(535\) 1.52178 + 4.55829i 0.0657923 + 0.197072i
\(536\) 1.12805 27.9922i 0.0487242 1.20908i
\(537\) −6.02647 + 7.38108i −0.260061 + 0.318517i
\(538\) −4.98847 5.63082i −0.215068 0.242762i
\(539\) −19.4072 3.96200i −0.835925 0.170655i
\(540\) 0.584304 0.169246i 0.0251444 0.00728318i
\(541\) 12.2957 4.66316i 0.528635 0.200485i −0.0758236 0.997121i \(-0.524159\pi\)
0.604459 + 0.796636i \(0.293389\pi\)
\(542\) −1.15475 28.6549i −0.0496009 1.23083i
\(543\) 14.0317 + 10.5442i 0.602159 + 0.452493i
\(544\) −1.79372 + 0.366191i −0.0769052 + 0.0157003i
\(545\) −4.81678 + 2.52804i −0.206328 + 0.108289i
\(546\) 2.78455 5.13592i 0.119168 0.219797i
\(547\) 0.735015 + 0.385766i 0.0314270 + 0.0164942i 0.480363 0.877070i \(-0.340505\pi\)
−0.448936 + 0.893564i \(0.648197\pi\)
\(548\) −21.4938 6.22575i −0.918170 0.265951i
\(549\) −12.8244 + 1.03529i −0.547333 + 0.0441853i
\(550\) −4.21466 + 20.6448i −0.179714 + 0.880296i
\(551\) −0.105906 0.201787i −0.00451174 0.00859640i
\(552\) −3.61678 4.81306i −0.153940 0.204857i
\(553\) 0.0445593 0.0704649i 0.00189485 0.00299647i
\(554\) 1.70998 1.18032i 0.0726502 0.0501468i
\(555\) −2.67617 + 5.63992i −0.113597 + 0.239401i
\(556\) −9.90642 + 10.3137i −0.420126 + 0.437397i
\(557\) 33.0717 + 31.7658i 1.40129 + 1.34596i 0.864854 + 0.502023i \(0.167411\pi\)
0.536440 + 0.843938i \(0.319769\pi\)
\(558\) −0.690194 5.68426i −0.0292182 0.240634i
\(559\) −1.00250 0.989265i −0.0424014 0.0418414i
\(560\) 0.108692 0.895157i 0.00459307 0.0378273i
\(561\) −1.28248 + 1.04712i −0.0541465 + 0.0442093i
\(562\) −0.750797 3.67765i −0.0316705 0.155132i
\(563\) −11.8452 40.8944i −0.499217 1.72350i −0.673856 0.738863i \(-0.735363\pi\)
0.174639 0.984633i \(-0.444124\pi\)
\(564\) 0.917305 + 3.72165i 0.0386255 + 0.156710i
\(565\) −0.855135 + 10.5927i −0.0359758 + 0.445640i
\(566\) −1.13707 6.99665i −0.0477945 0.294091i
\(567\) 1.08488 1.22457i 0.0455606 0.0514273i
\(568\) 27.0516 20.3280i 1.13506 0.852943i
\(569\) −9.15337 11.2108i −0.383729 0.469983i 0.546236 0.837632i \(-0.316060\pi\)
−0.929965 + 0.367649i \(0.880163\pi\)
\(570\) −0.0755640 + 0.464964i −0.00316503 + 0.0194752i
\(571\) 24.1680 + 5.95687i 1.01140 + 0.249287i 0.709993 0.704209i \(-0.248698\pi\)
0.301405 + 0.953496i \(0.402544\pi\)
\(572\) 16.7591 + 1.58078i 0.700734 + 0.0660956i
\(573\) 12.9682 3.19637i 0.541754 0.133530i
\(574\) 1.48759 + 18.4271i 0.0620907 + 0.769131i
\(575\) −8.86864 + 2.96079i −0.369848 + 0.123473i
\(576\) −4.75481 4.95028i −0.198117 0.206262i
\(577\) 31.7111i 1.32015i 0.751200 + 0.660075i \(0.229475\pi\)
−0.751200 + 0.660075i \(0.770525\pi\)
\(578\) −12.0497 + 11.5739i −0.501200 + 0.481409i
\(579\) 7.03835 + 5.74664i 0.292504 + 0.238822i
\(580\) −0.0808572 + 0.154061i −0.00335741 + 0.00639702i
\(581\) 1.85088 0.300797i 0.0767875 0.0124792i
\(582\) −12.4904 + 7.89843i −0.517742 + 0.327400i
\(583\) −10.0786 + 4.78235i −0.417412 + 0.198065i
\(584\) −8.10520 + 11.7424i −0.335395 + 0.485904i
\(585\) 2.14745 0.144229i 0.0887859 0.00596312i
\(586\) −16.0545 23.2589i −0.663204 0.960817i
\(587\) −12.6245 7.28876i −0.521069 0.300839i 0.216303 0.976326i \(-0.430600\pi\)
−0.737372 + 0.675487i \(0.763934\pi\)
\(588\) −1.88879 3.98053i −0.0778922 0.164154i
\(589\) −4.36940 1.45872i −0.180038 0.0601055i
\(590\) −0.308121 + 1.25010i −0.0126851 + 0.0514657i
\(591\) 19.8194 0.798695i 0.815262 0.0328539i
\(592\) 9.64830 0.388813i 0.396543 0.0159801i
\(593\) 6.55372 26.5895i 0.269129 1.09190i −0.668347 0.743850i \(-0.732998\pi\)
0.937476 0.348050i \(-0.113156\pi\)
\(594\) −4.30397 1.43688i −0.176594 0.0589558i
\(595\) −0.151299 0.318855i −0.00620264 0.0130718i
\(596\) 7.92608 + 4.57613i 0.324665 + 0.187445i
\(597\) −5.12176 7.42016i −0.209620 0.303687i
\(598\) −2.99440 6.53685i −0.122450 0.267312i
\(599\) −4.25984 + 6.17145i −0.174053 + 0.252159i −0.900295 0.435280i \(-0.856649\pi\)
0.726243 + 0.687438i \(0.241265\pi\)
\(600\) −12.5446 + 5.95249i −0.512132 + 0.243010i
\(601\) −22.2658 + 14.0800i −0.908239 + 0.574335i −0.904884 0.425659i \(-0.860042\pi\)
−0.00335522 + 0.999994i \(0.501068\pi\)
\(602\) −0.624750 + 0.101532i −0.0254629 + 0.00413813i
\(603\) 4.35403 8.29591i 0.177310 0.337836i
\(604\) −15.5864 12.7259i −0.634202 0.517810i
\(605\) 4.30044 4.13063i 0.174838 0.167934i
\(606\) 0.540803i 0.0219686i
\(607\) 10.0884 + 10.5031i 0.409474 + 0.426308i 0.893721 0.448624i \(-0.148086\pi\)
−0.484247 + 0.874932i \(0.660906\pi\)
\(608\) −3.82856 + 1.27816i −0.155269 + 0.0518363i
\(609\) 0.0376525 + 0.466410i 0.00152576 + 0.0188999i
\(610\) −7.38563 + 1.82040i −0.299036 + 0.0737057i
\(611\) 0.363207 + 13.5567i 0.0146938 + 0.548444i
\(612\) −0.357580 0.0881356i −0.0144543 0.00356267i
\(613\) 6.19741 38.1342i 0.250311 1.54022i −0.492254 0.870451i \(-0.663827\pi\)
0.742565 0.669774i \(-0.233609\pi\)
\(614\) −4.79371 5.87123i −0.193458 0.236943i
\(615\) −5.44473 + 4.09145i −0.219553 + 0.164983i
\(616\) 14.8618 16.7755i 0.598797 0.675902i
\(617\) 3.25434 + 20.0247i 0.131015 + 0.806166i 0.966503 + 0.256657i \(0.0826210\pi\)
−0.835488 + 0.549509i \(0.814815\pi\)
\(618\) −1.19757 + 14.8345i −0.0481732 + 0.596732i
\(619\) 6.38949 + 25.9232i 0.256815 + 1.04194i 0.947748 + 0.319021i \(0.103354\pi\)
−0.690932 + 0.722920i \(0.742800\pi\)
\(620\) 0.978479 + 3.37810i 0.0392967 + 0.135668i
\(621\) −0.402743 1.97276i −0.0161615 0.0791643i
\(622\) 0.392345 0.320340i 0.0157316 0.0128444i
\(623\) 0.524168 4.31692i 0.0210004 0.172954i
\(624\) −1.74120 2.83752i −0.0697037 0.113592i
\(625\) 2.38445 + 19.6378i 0.0953782 + 0.785510i
\(626\) 0.495499 + 0.475933i 0.0198041 + 0.0190221i
\(627\) −2.52867 + 2.63262i −0.100985 + 0.105137i
\(628\) −1.68983 + 3.56124i −0.0674316 + 0.142109i
\(629\) 3.11033 2.14691i 0.124017 0.0856027i
\(630\) 0.516955 0.817499i 0.0205960 0.0325700i
\(631\) 3.27088 + 4.35275i 0.130212 + 0.173280i 0.859840 0.510564i \(-0.170563\pi\)
−0.729628 + 0.683844i \(0.760307\pi\)
\(632\) −0.0708137 0.134924i −0.00281682 0.00536700i
\(633\) −0.950805 + 4.65735i −0.0377911 + 0.185113i
\(634\) 25.6545 2.07104i 1.01887 0.0822517i
\(635\) 5.82291 + 1.68663i 0.231075 + 0.0669318i
\(636\) −2.19720 1.15318i −0.0871248 0.0457266i
\(637\) −3.52603 15.1844i −0.139706 0.601629i
\(638\) 1.14914 0.603116i 0.0454950 0.0238776i
\(639\) 11.0879 2.26360i 0.438629 0.0895467i
\(640\) 1.59076 + 1.19538i 0.0628805 + 0.0472516i
\(641\) 0.228110 + 5.66049i 0.00900981 + 0.223576i 0.997421 + 0.0717749i \(0.0228663\pi\)
−0.988411 + 0.151801i \(0.951493\pi\)
\(642\) 7.45517 2.82737i 0.294232 0.111588i
\(643\) 20.5385 5.94904i 0.809959 0.234607i 0.152700 0.988273i \(-0.451203\pi\)
0.657259 + 0.753665i \(0.271716\pi\)
\(644\) 3.28903 + 0.671460i 0.129606 + 0.0264592i
\(645\) −0.154626 0.174537i −0.00608841 0.00687239i
\(646\) 0.180364 0.220906i 0.00709633 0.00869143i
\(647\) 0.830747 20.6148i 0.0326600 0.810451i −0.897000 0.442031i \(-0.854258\pi\)
0.929660 0.368419i \(-0.120101\pi\)
\(648\) −0.946883 2.83626i −0.0371971 0.111419i
\(649\) −7.46792 + 6.61600i −0.293142 + 0.259701i
\(650\) −16.1528 + 3.75089i −0.633563 + 0.147122i
\(651\) 7.07976 + 6.27212i 0.277478 + 0.245824i
\(652\) −2.71825 + 6.37998i −0.106455 + 0.249859i
\(653\) 14.2816 24.7365i 0.558884 0.968015i −0.438706 0.898631i \(-0.644563\pi\)
0.997590 0.0693845i \(-0.0221035\pi\)
\(654\) 4.51285 + 7.81648i 0.176466 + 0.305649i
\(655\) 6.22964 0.756416i 0.243412 0.0295556i
\(656\) 9.51762 + 4.51617i 0.371601 + 0.176327i
\(657\) −4.13242 + 2.38585i −0.161221 + 0.0930810i
\(658\) 5.01572 + 3.46210i 0.195533 + 0.134967i
\(659\) −29.9540 + 12.7622i −1.16684 + 0.497145i −0.886488 0.462752i \(-0.846862\pi\)
−0.280354 + 0.959897i \(0.590452\pi\)
\(660\) 2.75087 + 0.447060i 0.107077 + 0.0174018i
\(661\) 7.31643 9.73640i 0.284576 0.378702i −0.634407 0.772999i \(-0.718756\pi\)
0.918983 + 0.394297i \(0.129012\pi\)
\(662\) 9.04097 + 23.8391i 0.351387 + 0.926533i
\(663\) −1.16956 0.574420i −0.0454219 0.0223086i
\(664\) 1.21531 3.20452i 0.0471634 0.124360i
\(665\) −0.415881 0.657663i −0.0161272 0.0255031i
\(666\) 9.52877 + 4.05983i 0.369232 + 0.157315i
\(667\) 0.486729 + 0.307789i 0.0188462 + 0.0119176i
\(668\) 20.0255 + 2.43153i 0.774808 + 0.0940787i
\(669\) −1.49984 3.52026i −0.0579873 0.136101i
\(670\) 1.75407 5.25409i 0.0677657 0.202983i
\(671\) −55.1144 20.9021i −2.12767 0.806918i
\(672\) 8.26083 + 0.666883i 0.318668 + 0.0257256i
\(673\) 0.0995552 0.343704i 0.00383757 0.0132488i −0.958576 0.284835i \(-0.908061\pi\)
0.962414 + 0.271586i \(0.0875483\pi\)
\(674\) −1.88054 0.0757831i −0.0724356 0.00291906i
\(675\) −4.64367 −0.178735
\(676\) 4.36188 + 12.5093i 0.167765 + 0.481126i
\(677\) −32.8741 −1.26345 −0.631727 0.775191i \(-0.717653\pi\)
−0.631727 + 0.775191i \(0.717653\pi\)
\(678\) 17.6180 + 0.709982i 0.676616 + 0.0272667i
\(679\) 6.79163 23.4474i 0.260639 0.899829i
\(680\) −0.642960 0.0519051i −0.0246564 0.00199047i
\(681\) −18.9969 7.20456i −0.727961 0.276079i
\(682\) 8.30718 24.8830i 0.318098 0.952821i
\(683\) −5.06728 11.8934i −0.193894 0.455087i 0.794449 0.607331i \(-0.207760\pi\)
−0.988343 + 0.152245i \(0.951350\pi\)
\(684\) −0.806049 0.0978721i −0.0308201 0.00374223i
\(685\) −11.0786 7.00567i −0.423291 0.267673i
\(686\) −16.8796 7.19173i −0.644467 0.274582i
\(687\) −3.89242 6.15537i −0.148505 0.234842i
\(688\) −0.127900 + 0.337244i −0.00487613 + 0.0128573i
\(689\) −6.72511 5.64379i −0.256206 0.215011i
\(690\) −0.422117 1.11303i −0.0160697 0.0423724i
\(691\) 26.9616 35.8794i 1.02567 1.36492i 0.0964715 0.995336i \(-0.469244\pi\)
0.929198 0.369582i \(-0.120499\pi\)
\(692\) −10.0282 1.62973i −0.381213 0.0619532i
\(693\) 6.89545 2.93788i 0.261936 0.111601i
\(694\) 8.24406 + 5.69046i 0.312940 + 0.216007i
\(695\) −7.25453 + 4.18840i −0.275180 + 0.158875i
\(696\) 0.772658 + 0.366631i 0.0292875 + 0.0138971i
\(697\) 4.09315 0.496999i 0.155039 0.0188252i
\(698\) −7.85600 13.6070i −0.297354 0.515032i
\(699\) −7.78112 + 13.4773i −0.294309 + 0.509758i
\(700\) 3.03461 7.12249i 0.114697 0.269205i
\(701\) 11.1805 + 9.90505i 0.422281 + 0.374109i 0.847334 0.531060i \(-0.178206\pi\)
−0.425053 + 0.905168i \(0.639745\pi\)
\(702\) −0.382572 3.55045i −0.0144393 0.134003i
\(703\) 6.23696 5.52546i 0.235231 0.208397i
\(704\) −9.95806 29.8280i −0.375308 1.12419i
\(705\) −0.0904071 + 2.24343i −0.00340493 + 0.0844924i
\(706\) 4.81922 5.90248i 0.181374 0.222143i
\(707\) 0.592382 + 0.668661i 0.0222788 + 0.0251476i
\(708\) −2.17442 0.443911i −0.0817197 0.0166832i
\(709\) −18.0727 + 5.23483i −0.678735 + 0.196598i −0.599641 0.800269i \(-0.704690\pi\)
−0.0790943 + 0.996867i \(0.525203\pi\)
\(710\) 6.25575 2.37249i 0.234774 0.0890380i
\(711\) −0.00205196 0.0509189i −7.69546e−5 0.00190961i
\(712\) −6.35395 4.77468i −0.238124 0.178939i
\(713\) 11.4054 2.32842i 0.427134 0.0872000i
\(714\) −0.518498 + 0.272129i −0.0194043 + 0.0101842i
\(715\) 9.17167 + 3.62063i 0.343001 + 0.135404i
\(716\) −8.59829 4.51273i −0.321333 0.168649i
\(717\) −8.99892 2.60657i −0.336071 0.0973441i
\(718\) −18.0749 + 1.45916i −0.674551 + 0.0544554i
\(719\) 6.10282 29.8936i 0.227597 1.11484i −0.691976 0.721921i \(-0.743259\pi\)
0.919572 0.392921i \(-0.128535\pi\)
\(720\) −0.256144 0.488042i −0.00954594 0.0181883i
\(721\) −14.7687 19.6535i −0.550014 0.731936i
\(722\) −9.72149 + 15.3733i −0.361796 + 0.572135i
\(723\) 1.72443 1.19029i 0.0641321 0.0442672i
\(724\) −7.66787 + 16.1597i −0.284974 + 0.600570i
\(725\) 0.920053 0.957877i 0.0341699 0.0355746i
\(726\) −7.13516 6.85342i −0.264811 0.254354i
\(727\) −4.51819 37.2106i −0.167570 1.38007i −0.797456 0.603378i \(-0.793821\pi\)
0.629885 0.776688i \(-0.283102\pi\)
\(728\) 16.8739 + 5.13533i 0.625389 + 0.190328i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −2.18524 + 1.78420i −0.0808795 + 0.0660361i
\(731\) 0.0282372 + 0.138315i 0.00104439 + 0.00511577i
\(732\) −3.64786 12.5939i −0.134829 0.465483i
\(733\) −6.70355 27.1974i −0.247601 1.00456i −0.954730 0.297473i \(-0.903856\pi\)
0.707129 0.707085i \(-0.249990\pi\)
\(734\) −1.04574 + 12.9538i −0.0385990 + 0.478134i
\(735\) −0.413994 2.54741i −0.0152704 0.0939625i
\(736\) 6.76368 7.63462i 0.249313 0.281416i
\(737\) 34.3148 25.7859i 1.26400 0.949837i
\(738\) 7.14665 + 8.75306i 0.263072 + 0.322205i
\(739\) −2.80652 + 17.2692i −0.103240 + 0.635259i 0.882928 + 0.469508i \(0.155569\pi\)
−0.986168 + 0.165751i \(0.946995\pi\)
\(740\) −6.17685 1.52246i −0.227065 0.0559666i
\(741\) −2.71244 0.946405i −0.0996439 0.0347670i
\(742\) −3.83086 + 0.944222i −0.140635 + 0.0346635i
\(743\) −1.82298 22.5817i −0.0668787 0.828442i −0.940052 0.341031i \(-0.889224\pi\)
0.873173 0.487410i \(-0.162058\pi\)
\(744\) 16.3976 5.47432i 0.601164 0.200698i
\(745\) 3.71373 + 3.86641i 0.136061 + 0.141654i
\(746\) 15.2037i 0.556648i
\(747\) 0.826626 0.793985i 0.0302447 0.0290504i
\(748\) −1.30695 1.06709i −0.0477867 0.0390166i
\(749\) −6.12071 + 11.6620i −0.223646 + 0.426121i
\(750\) −5.62766 + 0.914583i −0.205493 + 0.0333958i
\(751\) −34.7020 + 21.9442i −1.26630 + 0.800757i −0.987197 0.159506i \(-0.949010\pi\)
−0.279098 + 0.960263i \(0.590036\pi\)
\(752\) 3.13765 1.48883i 0.114418 0.0542921i
\(753\) 7.33271 10.6233i 0.267219 0.387133i
\(754\) 0.808171 + 0.624537i 0.0294319 + 0.0227443i
\(755\) −6.69555 9.70018i −0.243676 0.353026i
\(756\) 1.44385 + 0.833609i 0.0525124 + 0.0303181i
\(757\) −9.69543 20.4327i −0.352386 0.742639i 0.647424 0.762130i \(-0.275846\pi\)
−0.999810 + 0.0194918i \(0.993795\pi\)
\(758\) −2.84035 0.948249i −0.103166 0.0344419i
\(759\) 2.20755 8.95638i 0.0801290 0.325096i
\(760\) −1.42102 + 0.0572653i −0.0515460 + 0.00207723i
\(761\) −27.4059 + 1.10442i −0.993464 + 0.0400352i −0.531669 0.846952i \(-0.678435\pi\)
−0.461794 + 0.886987i \(0.652794\pi\)
\(762\) 2.40711 9.76604i 0.0872005 0.353786i
\(763\) −14.1418 4.72121i −0.511966 0.170919i
\(764\) 5.83496 + 12.2969i 0.211101 + 0.444887i
\(765\) −0.186824 0.107863i −0.00675464 0.00389979i
\(766\) 12.2675 + 17.7725i 0.443242 + 0.642147i
\(767\) −7.18143 3.17487i −0.259306 0.114638i
\(768\) 9.67377 14.0149i 0.349072 0.505718i
\(769\) 28.6036 13.5726i 1.03147 0.489439i 0.163756 0.986501i \(-0.447639\pi\)
0.867715 + 0.497062i \(0.165588\pi\)
\(770\) 3.74528 2.36837i 0.134971 0.0853503i
\(771\) 15.7318 2.55667i 0.566567 0.0920761i
\(772\) −4.30319 + 8.19904i −0.154875