Properties

Label 690.2.n.a.89.18
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.18
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.11013 - 1.32951i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.06732 - 1.96490i) q^{5} +(-1.47397 - 0.909626i) q^{6} +(0.483302 - 0.310599i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.535201 - 2.95187i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.11013 - 1.32951i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.06732 - 1.96490i) q^{5} +(-1.47397 - 0.909626i) q^{6} +(0.483302 - 0.310599i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.535201 - 2.95187i) q^{9} +(-2.09680 - 0.776821i) q^{10} +(0.617442 - 4.29440i) q^{11} +(-0.690600 + 1.58842i) q^{12} +(-1.02536 + 1.59549i) q^{13} +(-0.376219 - 0.434180i) q^{14} +(-1.42749 - 3.60032i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.19284 + 4.06243i) q^{17} +(-2.84566 + 0.949849i) q^{18} +(0.213298 + 0.726425i) q^{19} +(-0.470509 + 2.18601i) q^{20} +(0.123585 - 0.987363i) q^{21} -4.33856 q^{22} +(4.22869 + 2.26235i) q^{23} +(1.67053 + 0.457515i) q^{24} +(-2.72166 - 4.19435i) q^{25} +(1.72517 + 0.787858i) q^{26} +(-4.51870 - 2.56542i) q^{27} +(-0.376219 + 0.434180i) q^{28} +(1.29159 - 4.39876i) q^{29} +(-3.36052 + 1.92534i) q^{30} +(1.13568 + 2.48679i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-5.02401 - 5.58826i) q^{33} +(4.19084 + 0.602551i) q^{34} +(-0.0944592 - 1.28115i) q^{35} +(1.34516 + 2.68152i) q^{36} +(-0.469465 - 0.541792i) q^{37} +(0.688676 - 0.314508i) q^{38} +(0.982932 + 3.13443i) q^{39} +(2.23072 + 0.154619i) q^{40} +(0.688519 + 0.596605i) q^{41} +(-0.994901 + 0.0181892i) q^{42} +(1.91710 - 4.19786i) q^{43} +(0.617442 + 4.29440i) q^{44} +(-6.37137 - 2.09897i) q^{45} +(1.63751 - 4.50761i) q^{46} -6.98212 q^{47} +(0.215117 - 1.71864i) q^{48} +(-2.77080 + 6.06720i) q^{49} +(-3.76432 + 3.29088i) q^{50} +(4.07683 + 6.09573i) q^{51} +(0.534322 - 1.81973i) q^{52} +(1.10788 + 1.72390i) q^{53} +(-1.89623 + 4.83780i) q^{54} +(-7.77906 - 5.79671i) q^{55} +(0.483302 + 0.310599i) q^{56} +(1.20258 + 0.522848i) q^{57} +(-4.53780 - 0.652438i) q^{58} +(-2.47824 + 3.85621i) q^{59} +(2.38399 + 3.05231i) q^{60} +(3.92849 - 1.79408i) q^{61} +(2.29985 - 1.47803i) q^{62} +(-1.17551 - 1.26041i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(2.04059 + 3.71761i) q^{65} +(-4.81639 + 5.76817i) q^{66} +(1.50369 + 10.4584i) q^{67} -4.23393i q^{68} +(7.70223 - 3.11058i) q^{69} +(-1.25467 + 0.275824i) q^{70} +(11.6770 - 1.67890i) q^{71} +(2.46279 - 1.71309i) q^{72} +(-1.52050 - 5.17834i) q^{73} +(-0.469465 + 0.541792i) q^{74} +(-8.59785 - 1.03781i) q^{75} +(-0.409315 - 0.636907i) q^{76} +(-1.03543 - 2.26727i) q^{77} +(2.96264 - 1.41900i) q^{78} +(-5.12499 + 7.97465i) q^{79} +(-0.164419 - 2.23001i) q^{80} +(-8.42712 + 3.15969i) q^{81} +(0.492546 - 0.766417i) q^{82} +(8.24830 - 7.14720i) q^{83} +(0.159593 + 0.982185i) q^{84} +(6.70912 + 6.67971i) q^{85} +(-4.42796 - 1.30017i) q^{86} +(-4.41436 - 6.60041i) q^{87} +(4.16282 - 1.22231i) q^{88} +(4.53438 - 9.92892i) q^{89} +(-1.17087 + 6.60523i) q^{90} +1.08958i q^{91} +(-4.69477 - 0.979347i) q^{92} +(4.56697 + 1.25077i) q^{93} +(0.993659 + 6.91105i) q^{94} +(1.65501 + 0.356219i) q^{95} +(-1.73176 + 0.0316608i) q^{96} +(-5.09324 + 5.87791i) q^{97} +(6.39977 + 1.87914i) q^{98} +(-13.0070 + 0.475758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 1.11013 1.32951i 0.640937 0.767594i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 1.06732 1.96490i 0.477319 0.878730i
\(6\) −1.47397 0.909626i −0.601745 0.371353i
\(7\) 0.483302 0.310599i 0.182671 0.117396i −0.446109 0.894978i \(-0.647191\pi\)
0.628780 + 0.777583i \(0.283554\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −0.535201 2.95187i −0.178400 0.983958i
\(10\) −2.09680 0.776821i −0.663065 0.245652i
\(11\) 0.617442 4.29440i 0.186166 1.29481i −0.655658 0.755058i \(-0.727609\pi\)
0.841824 0.539753i \(-0.181482\pi\)
\(12\) −0.690600 + 1.58842i −0.199359 + 0.458537i
\(13\) −1.02536 + 1.59549i −0.284383 + 0.442508i −0.953828 0.300353i \(-0.902895\pi\)
0.669445 + 0.742861i \(0.266532\pi\)
\(14\) −0.376219 0.434180i −0.100549 0.116039i
\(15\) −1.42749 3.60032i −0.368576 0.929598i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.19284 + 4.06243i −0.289305 + 0.985283i 0.678713 + 0.734404i \(0.262538\pi\)
−0.968018 + 0.250880i \(0.919280\pi\)
\(18\) −2.84566 + 0.949849i −0.670729 + 0.223882i
\(19\) 0.213298 + 0.726425i 0.0489338 + 0.166653i 0.980335 0.197341i \(-0.0632308\pi\)
−0.931401 + 0.363995i \(0.881413\pi\)
\(20\) −0.470509 + 2.18601i −0.105209 + 0.488806i
\(21\) 0.123585 0.987363i 0.0269685 0.215460i
\(22\) −4.33856 −0.924985
\(23\) 4.22869 + 2.26235i 0.881742 + 0.471732i
\(24\) 1.67053 + 0.457515i 0.340996 + 0.0933899i
\(25\) −2.72166 4.19435i −0.544332 0.838870i
\(26\) 1.72517 + 0.787858i 0.338334 + 0.154512i
\(27\) −4.51870 2.56542i −0.869623 0.493716i
\(28\) −0.376219 + 0.434180i −0.0710987 + 0.0820523i
\(29\) 1.29159 4.39876i 0.239843 0.816830i −0.748309 0.663350i \(-0.769134\pi\)
0.988152 0.153480i \(-0.0490480\pi\)
\(30\) −3.36052 + 1.92534i −0.613544 + 0.351517i
\(31\) 1.13568 + 2.48679i 0.203974 + 0.446640i 0.983780 0.179381i \(-0.0574095\pi\)
−0.779806 + 0.626021i \(0.784682\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −5.02401 5.58826i −0.874568 0.972791i
\(34\) 4.19084 + 0.602551i 0.718722 + 0.103337i
\(35\) −0.0944592 1.28115i −0.0159665 0.216554i
\(36\) 1.34516 + 2.68152i 0.224193 + 0.446920i
\(37\) −0.469465 0.541792i −0.0771796 0.0890700i 0.715846 0.698258i \(-0.246041\pi\)
−0.793026 + 0.609188i \(0.791496\pi\)
\(38\) 0.688676 0.314508i 0.111718 0.0510199i
\(39\) 0.982932 + 3.13443i 0.157395 + 0.501910i
\(40\) 2.23072 + 0.154619i 0.352707 + 0.0244473i
\(41\) 0.688519 + 0.596605i 0.107529 + 0.0931741i 0.706966 0.707248i \(-0.250063\pi\)
−0.599437 + 0.800422i \(0.704609\pi\)
\(42\) −0.994901 + 0.0181892i −0.153517 + 0.00280666i
\(43\) 1.91710 4.19786i 0.292355 0.640168i −0.705278 0.708931i \(-0.749178\pi\)
0.997633 + 0.0687629i \(0.0219052\pi\)
\(44\) 0.617442 + 4.29440i 0.0930829 + 0.647405i
\(45\) −6.37137 2.09897i −0.949787 0.312897i
\(46\) 1.63751 4.50761i 0.241438 0.664611i
\(47\) −6.98212 −1.01845 −0.509223 0.860634i \(-0.670067\pi\)
−0.509223 + 0.860634i \(0.670067\pi\)
\(48\) 0.215117 1.71864i 0.0310494 0.248064i
\(49\) −2.77080 + 6.06720i −0.395828 + 0.866742i
\(50\) −3.76432 + 3.29088i −0.532356 + 0.465400i
\(51\) 4.07683 + 6.09573i 0.570871 + 0.853573i
\(52\) 0.534322 1.81973i 0.0740971 0.252352i
\(53\) 1.10788 + 1.72390i 0.152180 + 0.236796i 0.908970 0.416862i \(-0.136870\pi\)
−0.756790 + 0.653658i \(0.773234\pi\)
\(54\) −1.89623 + 4.83780i −0.258045 + 0.658341i
\(55\) −7.77906 5.79671i −1.04893 0.781628i
\(56\) 0.483302 + 0.310599i 0.0645839 + 0.0415056i
\(57\) 1.20258 + 0.522848i 0.159286 + 0.0692530i
\(58\) −4.53780 0.652438i −0.595843 0.0856693i
\(59\) −2.47824 + 3.85621i −0.322639 + 0.502036i −0.964250 0.264994i \(-0.914630\pi\)
0.641611 + 0.767030i \(0.278266\pi\)
\(60\) 2.38399 + 3.05231i 0.307772 + 0.394051i
\(61\) 3.92849 1.79408i 0.502991 0.229708i −0.147726 0.989028i \(-0.547195\pi\)
0.650718 + 0.759320i \(0.274468\pi\)
\(62\) 2.29985 1.47803i 0.292082 0.187709i
\(63\) −1.17551 1.26041i −0.148101 0.158797i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 2.04059 + 3.71761i 0.253104 + 0.461113i
\(66\) −4.81639 + 5.76817i −0.592857 + 0.710012i
\(67\) 1.50369 + 10.4584i 0.183705 + 1.27770i 0.847908 + 0.530144i \(0.177862\pi\)
−0.664202 + 0.747553i \(0.731229\pi\)
\(68\) 4.23393i 0.513439i
\(69\) 7.70223 3.11058i 0.927239 0.374469i
\(70\) −1.25467 + 0.275824i −0.149961 + 0.0329673i
\(71\) 11.6770 1.67890i 1.38580 0.199248i 0.591272 0.806472i \(-0.298626\pi\)
0.794531 + 0.607224i \(0.207717\pi\)
\(72\) 2.46279 1.71309i 0.290242 0.201889i
\(73\) −1.52050 5.17834i −0.177961 0.606079i −0.999362 0.0357274i \(-0.988625\pi\)
0.821401 0.570351i \(-0.193193\pi\)
\(74\) −0.469465 + 0.541792i −0.0545742 + 0.0629820i
\(75\) −8.59785 1.03781i −0.992794 0.119836i
\(76\) −0.409315 0.636907i −0.0469517 0.0730582i
\(77\) −1.03543 2.26727i −0.117998 0.258379i
\(78\) 2.96264 1.41900i 0.335453 0.160670i
\(79\) −5.12499 + 7.97465i −0.576607 + 0.897218i −0.999962 0.00874603i \(-0.997216\pi\)
0.423355 + 0.905964i \(0.360852\pi\)
\(80\) −0.164419 2.23001i −0.0183826 0.249323i
\(81\) −8.42712 + 3.15969i −0.936347 + 0.351077i
\(82\) 0.492546 0.766417i 0.0543926 0.0846366i
\(83\) 8.24830 7.14720i 0.905369 0.784507i −0.0717007 0.997426i \(-0.522843\pi\)
0.977070 + 0.212919i \(0.0682972\pi\)
\(84\) 0.159593 + 0.982185i 0.0174130 + 0.107165i
\(85\) 6.70912 + 6.67971i 0.727707 + 0.724516i
\(86\) −4.42796 1.30017i −0.477480 0.140201i
\(87\) −4.41436 6.60041i −0.473270 0.707638i
\(88\) 4.16282 1.22231i 0.443758 0.130299i
\(89\) 4.53438 9.92892i 0.480644 1.05246i −0.501642 0.865075i \(-0.667271\pi\)
0.982286 0.187388i \(-0.0600021\pi\)
\(90\) −1.17087 + 6.60523i −0.123421 + 0.696252i
\(91\) 1.08958i 0.114219i
\(92\) −4.69477 0.979347i −0.489464 0.102104i
\(93\) 4.56697 + 1.25077i 0.473573 + 0.129699i
\(94\) 0.993659 + 6.91105i 0.102488 + 0.712821i
\(95\) 1.65501 + 0.356219i 0.169800 + 0.0365473i
\(96\) −1.73176 + 0.0316608i −0.176747 + 0.00323137i
\(97\) −5.09324 + 5.87791i −0.517140 + 0.596812i −0.952913 0.303245i \(-0.901930\pi\)
0.435772 + 0.900057i \(0.356475\pi\)
\(98\) 6.39977 + 1.87914i 0.646474 + 0.189822i
\(99\) −13.0070 + 0.475758i −1.30725 + 0.0478155i
\(100\) 3.79310 + 3.25767i 0.379310 + 0.325767i
\(101\) 10.8521 9.40339i 1.07982 0.935672i 0.0816842 0.996658i \(-0.473970\pi\)
0.998139 + 0.0609865i \(0.0194247\pi\)
\(102\) 5.45349 4.90285i 0.539976 0.485455i
\(103\) −0.130735 + 0.909280i −0.0128817 + 0.0895941i −0.995248 0.0973720i \(-0.968956\pi\)
0.982366 + 0.186966i \(0.0598654\pi\)
\(104\) −1.87725 0.269908i −0.184080 0.0264667i
\(105\) −1.80816 1.29666i −0.176459 0.126541i
\(106\) 1.54869 1.34194i 0.150422 0.130341i
\(107\) −10.6883 + 4.88119i −1.03328 + 0.471882i −0.858548 0.512734i \(-0.828633\pi\)
−0.174731 + 0.984616i \(0.555906\pi\)
\(108\) 5.05842 + 1.18844i 0.486747 + 0.114358i
\(109\) −0.620718 + 2.11397i −0.0594540 + 0.202482i −0.983864 0.178919i \(-0.942740\pi\)
0.924410 + 0.381401i \(0.124558\pi\)
\(110\) −4.63063 + 8.52484i −0.441513 + 0.812812i
\(111\) −1.24149 + 0.0226974i −0.117837 + 0.00215434i
\(112\) 0.238657 0.522586i 0.0225510 0.0493797i
\(113\) 17.1376 2.46401i 1.61217 0.231795i 0.723493 0.690332i \(-0.242536\pi\)
0.888675 + 0.458538i \(0.151627\pi\)
\(114\) 0.346382 1.26475i 0.0324416 0.118455i
\(115\) 8.95864 5.89430i 0.835398 0.549646i
\(116\) 4.58447i 0.425657i
\(117\) 5.25844 + 2.17282i 0.486143 + 0.200877i
\(118\) 4.16965 + 1.90422i 0.383848 + 0.175297i
\(119\) 0.685287 + 2.33387i 0.0628201 + 0.213946i
\(120\) 2.68196 2.79411i 0.244829 0.255067i
\(121\) −7.50623 2.20403i −0.682385 0.200366i
\(122\) −2.33490 3.63318i −0.211392 0.328932i
\(123\) 1.55754 0.253082i 0.140439 0.0228196i
\(124\) −1.79028 2.06610i −0.160772 0.185541i
\(125\) −11.1464 + 0.871084i −0.996960 + 0.0779121i
\(126\) −1.08029 + 1.34292i −0.0962400 + 0.119637i
\(127\) 16.3010 + 2.34373i 1.44648 + 0.207973i 0.820403 0.571786i \(-0.193749\pi\)
0.626080 + 0.779759i \(0.284658\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −3.45287 7.20900i −0.304008 0.634717i
\(130\) 3.38937 2.54889i 0.297267 0.223552i
\(131\) −2.50347 3.89548i −0.218729 0.340349i 0.714497 0.699638i \(-0.246656\pi\)
−0.933226 + 0.359289i \(0.883019\pi\)
\(132\) 6.39490 + 3.94647i 0.556605 + 0.343496i
\(133\) 0.328714 + 0.284833i 0.0285032 + 0.0246981i
\(134\) 10.1380 2.97677i 0.875786 0.257154i
\(135\) −9.86369 + 6.14066i −0.848931 + 0.528504i
\(136\) −4.19084 + 0.602551i −0.359361 + 0.0516683i
\(137\) 8.34533i 0.712989i 0.934297 + 0.356495i \(0.116028\pi\)
−0.934297 + 0.356495i \(0.883972\pi\)
\(138\) −4.17506 7.18115i −0.355404 0.611300i
\(139\) −2.74816 −0.233096 −0.116548 0.993185i \(-0.537183\pi\)
−0.116548 + 0.993185i \(0.537183\pi\)
\(140\) 0.451574 + 1.20264i 0.0381650 + 0.101642i
\(141\) −7.75110 + 9.28281i −0.652760 + 0.781754i
\(142\) −3.32361 11.3192i −0.278912 0.949886i
\(143\) 6.21856 + 5.38841i 0.520022 + 0.450602i
\(144\) −2.04614 2.19392i −0.170512 0.182827i
\(145\) −7.26459 7.23274i −0.603291 0.600646i
\(146\) −4.90924 + 2.24198i −0.406292 + 0.185547i
\(147\) 4.99045 + 10.4192i 0.411605 + 0.859362i
\(148\) 0.603089 + 0.387582i 0.0495736 + 0.0318590i
\(149\) 3.05802 21.2690i 0.250523 1.74242i −0.344565 0.938762i \(-0.611974\pi\)
0.595088 0.803661i \(-0.297117\pi\)
\(150\) 0.196351 + 8.65803i 0.0160320 + 0.706925i
\(151\) 6.59432 + 4.23791i 0.536638 + 0.344876i 0.780723 0.624878i \(-0.214851\pi\)
−0.244085 + 0.969754i \(0.578487\pi\)
\(152\) −0.572173 + 0.495790i −0.0464093 + 0.0402139i
\(153\) 12.6302 + 1.34689i 1.02109 + 0.108889i
\(154\) −2.09684 + 1.34755i −0.168968 + 0.108589i
\(155\) 6.09842 + 0.422702i 0.489837 + 0.0339523i
\(156\) −1.82619 2.73054i −0.146212 0.218618i
\(157\) 1.67360 0.491414i 0.133568 0.0392191i −0.214265 0.976776i \(-0.568736\pi\)
0.347833 + 0.937556i \(0.386918\pi\)
\(158\) 8.62284 + 3.93792i 0.685996 + 0.313284i
\(159\) 3.52185 + 0.440818i 0.279301 + 0.0349592i
\(160\) −2.18392 + 0.480110i −0.172654 + 0.0379560i
\(161\) 2.74642 0.220031i 0.216448 0.0173408i
\(162\) 4.32684 + 7.89167i 0.339948 + 0.620028i
\(163\) 13.8447 1.99057i 1.08440 0.155913i 0.423136 0.906066i \(-0.360929\pi\)
0.661264 + 0.750153i \(0.270020\pi\)
\(164\) −0.828712 0.378460i −0.0647116 0.0295528i
\(165\) −16.3426 + 3.90722i −1.27227 + 0.304177i
\(166\) −8.24830 7.14720i −0.640193 0.554730i
\(167\) 4.63776 + 1.36177i 0.358880 + 0.105377i 0.456202 0.889876i \(-0.349209\pi\)
−0.0973218 + 0.995253i \(0.531028\pi\)
\(168\) 0.949476 0.297748i 0.0732536 0.0229718i
\(169\) 3.90618 + 8.55333i 0.300475 + 0.657949i
\(170\) 5.65691 7.59146i 0.433865 0.582238i
\(171\) 2.03016 1.01841i 0.155250 0.0778799i
\(172\) −0.656769 + 4.56793i −0.0500781 + 0.348301i
\(173\) 3.55519 24.7269i 0.270296 1.87995i −0.175006 0.984567i \(-0.555994\pi\)
0.445301 0.895381i \(-0.353097\pi\)
\(174\) −5.90500 + 5.30877i −0.447657 + 0.402457i
\(175\) −2.61815 1.18179i −0.197913 0.0893350i
\(176\) −1.80230 3.94650i −0.135854 0.297478i
\(177\) 2.37570 + 7.57577i 0.178569 + 0.569429i
\(178\) −10.4732 3.07520i −0.784997 0.230496i
\(179\) 19.4179 + 16.8257i 1.45136 + 1.25761i 0.908561 + 0.417752i \(0.137182\pi\)
0.542801 + 0.839861i \(0.317364\pi\)
\(180\) 6.70463 + 0.218930i 0.499734 + 0.0163181i
\(181\) −7.28066 3.32497i −0.541167 0.247143i 0.126027 0.992027i \(-0.459777\pi\)
−0.667194 + 0.744884i \(0.732505\pi\)
\(182\) 1.07849 0.155063i 0.0799427 0.0114940i
\(183\) 1.97590 7.21464i 0.146063 0.533321i
\(184\) −0.301243 + 4.78636i −0.0222079 + 0.352855i
\(185\) −1.56563 + 0.344187i −0.115108 + 0.0253052i
\(186\) 0.588095 4.69849i 0.0431212 0.344510i
\(187\) 16.7092 + 7.63083i 1.22190 + 0.558022i
\(188\) 6.69930 1.96709i 0.488596 0.143465i
\(189\) −2.98071 + 0.163630i −0.216815 + 0.0119023i
\(190\) 0.117061 1.68886i 0.00849247 0.122523i
\(191\) −7.47791 + 4.80576i −0.541083 + 0.347733i −0.782462 0.622698i \(-0.786037\pi\)
0.241380 + 0.970431i \(0.422400\pi\)
\(192\) 0.277794 + 1.70963i 0.0200480 + 0.123382i
\(193\) −12.2701 + 10.6321i −0.883223 + 0.765317i −0.973039 0.230641i \(-0.925918\pi\)
0.0898159 + 0.995958i \(0.471372\pi\)
\(194\) 6.54293 + 4.20489i 0.469755 + 0.301893i
\(195\) 7.20794 + 1.41407i 0.516171 + 0.101264i
\(196\) 0.949232 6.60206i 0.0678023 0.471575i
\(197\) −12.6059 8.10129i −0.898130 0.577193i 0.00810523 0.999967i \(-0.497420\pi\)
−0.906235 + 0.422774i \(0.861056\pi\)
\(198\) 2.32200 + 12.8069i 0.165018 + 0.910146i
\(199\) 13.6835 6.24904i 0.969996 0.442982i 0.133556 0.991041i \(-0.457360\pi\)
0.836440 + 0.548059i \(0.184633\pi\)
\(200\) 2.68469 4.21811i 0.189837 0.298265i
\(201\) 15.5739 + 9.61106i 1.09850 + 0.677912i
\(202\) −10.8521 9.40339i −0.763550 0.661620i
\(203\) −0.742023 2.52710i −0.0520798 0.177368i
\(204\) −5.62906 4.70023i −0.394113 0.329082i
\(205\) 1.90714 0.716103i 0.133200 0.0500148i
\(206\) 0.918631 0.0640040
\(207\) 4.41496 13.6934i 0.306861 0.951754i
\(208\) 1.89656i 0.131503i
\(209\) 3.25126 0.467461i 0.224894 0.0323349i
\(210\) −1.02614 + 1.97429i −0.0708101 + 0.136239i
\(211\) 26.9399 7.91027i 1.85462 0.544566i 0.854955 0.518703i \(-0.173585\pi\)
0.999665 0.0258630i \(-0.00823337\pi\)
\(212\) −1.54869 1.34194i −0.106364 0.0921651i
\(213\) 10.7309 17.3885i 0.735270 1.19144i
\(214\) 6.35261 + 9.88486i 0.434256 + 0.675715i
\(215\) −6.20222 8.24736i −0.422988 0.562465i
\(216\) 0.456456 5.17606i 0.0310579 0.352187i
\(217\) 1.32127 + 0.849129i 0.0896937 + 0.0576426i
\(218\) 2.18079 + 0.313551i 0.147702 + 0.0212363i
\(219\) −8.57262 3.72714i −0.579284 0.251857i
\(220\) 9.09708 + 3.37028i 0.613325 + 0.227225i
\(221\) −5.25846 6.06859i −0.353722 0.408217i
\(222\) 0.199148 + 1.22562i 0.0133660 + 0.0822583i
\(223\) 2.67478 + 4.16204i 0.179117 + 0.278711i 0.919189 0.393816i \(-0.128845\pi\)
−0.740073 + 0.672527i \(0.765209\pi\)
\(224\) −0.551231 0.161856i −0.0368307 0.0108145i
\(225\) −10.9246 + 10.2788i −0.728303 + 0.685255i
\(226\) −4.87786 16.6125i −0.324471 1.10505i
\(227\) −2.57634 1.17657i −0.170998 0.0780920i 0.328077 0.944651i \(-0.393599\pi\)
−0.499075 + 0.866559i \(0.666327\pi\)
\(228\) −1.30117 0.162863i −0.0861721 0.0107859i
\(229\) 19.8432i 1.31127i 0.755076 + 0.655637i \(0.227600\pi\)
−0.755076 + 0.655637i \(0.772400\pi\)
\(230\) −7.10925 8.02861i −0.468770 0.529391i
\(231\) −4.16383 1.14036i −0.273960 0.0750304i
\(232\) 4.53780 0.652438i 0.297921 0.0428346i
\(233\) 2.54537 5.57357i 0.166752 0.365137i −0.807746 0.589530i \(-0.799313\pi\)
0.974499 + 0.224394i \(0.0720401\pi\)
\(234\) 1.40235 5.51414i 0.0916742 0.360471i
\(235\) −7.45215 + 13.7192i −0.486125 + 0.894940i
\(236\) 1.29143 4.39821i 0.0840650 0.286299i
\(237\) 4.91295 + 15.6667i 0.319130 + 1.01766i
\(238\) 2.21259 1.01046i 0.143421 0.0654982i
\(239\) −15.4131 + 13.3555i −0.996989 + 0.863896i −0.990697 0.136084i \(-0.956548\pi\)
−0.00629177 + 0.999980i \(0.502003\pi\)
\(240\) −3.14736 2.25702i −0.203161 0.145690i
\(241\) −10.5689 1.51958i −0.680804 0.0978848i −0.206768 0.978390i \(-0.566294\pi\)
−0.474036 + 0.880505i \(0.657203\pi\)
\(242\) −1.11335 + 7.74350i −0.0715686 + 0.497771i
\(243\) −5.15439 + 14.7116i −0.330654 + 0.943752i
\(244\) −3.26390 + 2.82819i −0.208950 + 0.181056i
\(245\) 8.96411 + 11.9200i 0.572696 + 0.761539i
\(246\) −0.472167 1.50567i −0.0301043 0.0959981i
\(247\) −1.37771 0.404531i −0.0876614 0.0257397i
\(248\) −1.79028 + 2.06610i −0.113683 + 0.131197i
\(249\) −0.345549 18.9006i −0.0218982 1.19777i
\(250\) 2.44851 + 10.9089i 0.154857 + 0.689941i
\(251\) 4.38354 + 30.4882i 0.276686 + 1.92440i 0.370553 + 0.928811i \(0.379168\pi\)
−0.0938662 + 0.995585i \(0.529923\pi\)
\(252\) 1.48300 + 0.878177i 0.0934200 + 0.0553200i
\(253\) 12.3264 16.7628i 0.774954 1.05387i
\(254\) 16.4687i 1.03334i
\(255\) 16.3288 1.50448i 1.02255 0.0942142i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −8.37632 + 2.45951i −0.522500 + 0.153420i −0.532338 0.846532i \(-0.678687\pi\)
0.00983804 + 0.999952i \(0.496868\pi\)
\(258\) −6.64422 + 4.44367i −0.413651 + 0.276651i
\(259\) −0.395173 0.116033i −0.0245549 0.00720996i
\(260\) −3.00530 2.99212i −0.186381 0.185564i
\(261\) −13.6759 1.45840i −0.846515 0.0902726i
\(262\) −3.49954 + 3.03237i −0.216203 + 0.187341i
\(263\) −14.4425 + 22.4730i −0.890566 + 1.38575i 0.0318271 + 0.999493i \(0.489867\pi\)
−0.922393 + 0.386254i \(0.873769\pi\)
\(264\) 2.99621 6.89145i 0.184404 0.424139i
\(265\) 4.56976 0.336929i 0.280718 0.0206974i
\(266\) 0.235153 0.365904i 0.0144181 0.0224350i
\(267\) −8.16683 17.0510i −0.499802 1.04350i
\(268\) −4.38925 9.61112i −0.268116 0.587093i
\(269\) 1.65040 + 2.56807i 0.100627 + 0.156578i 0.887916 0.460006i \(-0.152153\pi\)
−0.787289 + 0.616584i \(0.788516\pi\)
\(270\) 7.48191 + 8.88938i 0.455334 + 0.540990i
\(271\) −10.6069 + 12.2410i −0.644321 + 0.743586i −0.980133 0.198343i \(-0.936444\pi\)
0.335811 + 0.941929i \(0.390990\pi\)
\(272\) 1.19284 + 4.06243i 0.0723263 + 0.246321i
\(273\) 1.44860 + 1.20958i 0.0876735 + 0.0732069i
\(274\) 8.26038 1.18766i 0.499028 0.0717494i
\(275\) −19.6927 + 9.09814i −1.18751 + 0.548639i
\(276\) −6.51388 + 5.15454i −0.392090 + 0.310267i
\(277\) 21.8781i 1.31453i −0.753661 0.657263i \(-0.771714\pi\)
0.753661 0.657263i \(-0.228286\pi\)
\(278\) 0.391104 + 2.72018i 0.0234568 + 0.163146i
\(279\) 6.73287 4.68331i 0.403086 0.280382i
\(280\) 1.12613 0.618131i 0.0672994 0.0369404i
\(281\) −14.4695 + 16.6987i −0.863181 + 0.996164i 0.136804 + 0.990598i \(0.456317\pi\)
−0.999985 + 0.00556568i \(0.998228\pi\)
\(282\) 10.2914 + 6.35112i 0.612845 + 0.378204i
\(283\) −9.17567 + 5.89685i −0.545437 + 0.350531i −0.784162 0.620556i \(-0.786907\pi\)
0.238725 + 0.971087i \(0.423271\pi\)
\(284\) −10.7310 + 4.90067i −0.636767 + 0.290802i
\(285\) 2.31088 1.80490i 0.136885 0.106913i
\(286\) 4.44857 6.92211i 0.263050 0.409313i
\(287\) 0.518068 + 0.0744869i 0.0305806 + 0.00439682i
\(288\) −1.88040 + 2.33754i −0.110803 + 0.137741i
\(289\) −0.779142 0.500724i −0.0458319 0.0294544i
\(290\) −6.12526 + 8.21997i −0.359688 + 0.482693i
\(291\) 2.16057 + 13.2968i 0.126655 + 0.779472i
\(292\) 2.91781 + 4.54021i 0.170752 + 0.265696i
\(293\) −1.07672 + 3.66698i −0.0629028 + 0.214227i −0.984947 0.172858i \(-0.944700\pi\)
0.922044 + 0.387085i \(0.126518\pi\)
\(294\) 9.60294 6.42246i 0.560055 0.374566i
\(295\) 4.93200 + 8.98530i 0.287152 + 0.523144i
\(296\) 0.297808 0.652109i 0.0173097 0.0379030i
\(297\) −13.8070 + 17.8211i −0.801163 + 1.03408i
\(298\) −21.4877 −1.24475
\(299\) −7.94545 + 4.42710i −0.459497 + 0.256026i
\(300\) 8.54196 1.42652i 0.493170 0.0823601i
\(301\) −0.377315 2.62428i −0.0217481 0.151261i
\(302\) 3.25631 7.13032i 0.187379 0.410304i
\(303\) −0.454629 24.8670i −0.0261178 1.42857i
\(304\) 0.572173 + 0.495790i 0.0328163 + 0.0284355i
\(305\) 0.667761 9.63394i 0.0382359 0.551638i
\(306\) −0.464284 12.6933i −0.0265414 0.725628i
\(307\) −18.2286 + 8.32473i −1.04036 + 0.475117i −0.860968 0.508660i \(-0.830141\pi\)
−0.179395 + 0.983777i \(0.557414\pi\)
\(308\) 1.63225 + 1.88372i 0.0930060 + 0.107335i
\(309\) 1.06377 + 1.18324i 0.0605155 + 0.0673120i
\(310\) −0.449496 6.09650i −0.0255297 0.346258i
\(311\) −30.1498 4.33488i −1.70964 0.245809i −0.783069 0.621935i \(-0.786347\pi\)
−0.926568 + 0.376126i \(0.877256\pi\)
\(312\) −2.44285 + 2.19619i −0.138299 + 0.124335i
\(313\) −7.66085 8.84109i −0.433017 0.499728i 0.496742 0.867898i \(-0.334530\pi\)
−0.929758 + 0.368171i \(0.879984\pi\)
\(314\) −0.724591 1.58663i −0.0408910 0.0895388i
\(315\) −3.73123 + 0.964504i −0.210231 + 0.0543436i
\(316\) 2.67068 9.09550i 0.150237 0.511662i
\(317\) 13.4695 15.5446i 0.756521 0.873072i −0.238662 0.971103i \(-0.576709\pi\)
0.995183 + 0.0980304i \(0.0312543\pi\)
\(318\) −0.0648795 3.54873i −0.00363826 0.199003i
\(319\) −18.0926 8.26260i −1.01299 0.462617i
\(320\) 0.786027 + 2.09336i 0.0439402 + 0.117022i
\(321\) −5.37587 + 19.6290i −0.300052 + 1.09558i
\(322\) −0.608647 2.68715i −0.0339186 0.149749i
\(323\) −3.20548 −0.178358
\(324\) 7.19557 5.40590i 0.399754 0.300328i
\(325\) 9.48269 0.0416694i 0.526005 0.00231140i
\(326\) −3.94061 13.4205i −0.218250 0.743292i
\(327\) 2.12147 + 3.17205i 0.117318 + 0.175415i
\(328\) −0.256670 + 0.874138i −0.0141722 + 0.0482662i
\(329\) −3.37447 + 2.16864i −0.186041 + 0.119561i
\(330\) 6.19325 + 15.6202i 0.340927 + 0.859863i
\(331\) 13.2938 + 15.3419i 0.730693 + 0.843265i 0.992550 0.121842i \(-0.0388801\pi\)
−0.261856 + 0.965107i \(0.584335\pi\)
\(332\) −5.90059 + 9.18150i −0.323837 + 0.503900i
\(333\) −1.34804 + 1.67577i −0.0738722 + 0.0918316i
\(334\) 0.687886 4.78435i 0.0376394 0.261788i
\(335\) 22.1546 + 8.20785i 1.21044 + 0.448443i
\(336\) −0.429842 0.897437i −0.0234498 0.0489592i
\(337\) −7.95109 17.4105i −0.433123 0.948408i −0.992810 0.119703i \(-0.961806\pi\)
0.559686 0.828705i \(-0.310922\pi\)
\(338\) 7.91037 5.08368i 0.430267 0.276516i
\(339\) 15.7491 25.5200i 0.855373 1.38606i
\(340\) −8.31925 4.51895i −0.451175 0.245075i
\(341\) 11.3805 3.34161i 0.616288 0.180958i
\(342\) −1.29697 1.86456i −0.0701320 0.100824i
\(343\) 1.11766 + 7.77348i 0.0603478 + 0.419728i
\(344\) 4.61490 0.248819
\(345\) 2.10876 18.4541i 0.113532 0.993534i
\(346\) −24.9811 −1.34299
\(347\) −2.90162 20.1812i −0.155767 1.08339i −0.906325 0.422581i \(-0.861124\pi\)
0.750558 0.660805i \(-0.229785\pi\)
\(348\) 6.09510 + 5.08938i 0.326732 + 0.272819i
\(349\) −9.06471 + 2.66164i −0.485223 + 0.142474i −0.515189 0.857077i \(-0.672278\pi\)
0.0299660 + 0.999551i \(0.490460\pi\)
\(350\) −0.797161 + 2.75968i −0.0426100 + 0.147511i
\(351\) 8.72637 4.57904i 0.465779 0.244411i
\(352\) −3.64983 + 2.34560i −0.194537 + 0.125021i
\(353\) 0.141241 + 0.309274i 0.00751748 + 0.0164610i 0.913354 0.407168i \(-0.133483\pi\)
−0.905836 + 0.423629i \(0.860756\pi\)
\(354\) 7.16056 3.42966i 0.380579 0.182285i
\(355\) 9.16420 24.7360i 0.486385 1.31285i
\(356\) −1.55341 + 10.8042i −0.0823306 + 0.572622i
\(357\) 3.86367 + 1.67982i 0.204487 + 0.0889053i
\(358\) 13.8910 21.6148i 0.734162 1.14238i
\(359\) −19.9323 23.0031i −1.05199 1.21406i −0.976187 0.216933i \(-0.930395\pi\)
−0.0757989 0.997123i \(-0.524151\pi\)
\(360\) −0.737467 6.66754i −0.0388679 0.351410i
\(361\) 15.5016 9.96229i 0.815875 0.524331i
\(362\) −2.25498 + 7.67974i −0.118519 + 0.403638i
\(363\) −11.2632 + 7.53285i −0.591165 + 0.395372i
\(364\) −0.306969 1.04544i −0.0160896 0.0547960i
\(365\) −11.7978 2.53931i −0.617524 0.132914i
\(366\) −7.42240 0.929039i −0.387975 0.0485616i
\(367\) −25.8828 −1.35107 −0.675537 0.737326i \(-0.736088\pi\)
−0.675537 + 0.737326i \(0.736088\pi\)
\(368\) 4.78051 0.382993i 0.249202 0.0199649i
\(369\) 1.39261 2.35173i 0.0724962 0.122426i
\(370\) 0.563497 + 1.50072i 0.0292948 + 0.0780185i
\(371\) 1.07088 + 0.489057i 0.0555976 + 0.0253906i
\(372\) −4.73436 + 0.0865556i −0.245465 + 0.00448770i
\(373\) 1.11913 1.29155i 0.0579465 0.0668738i −0.726036 0.687656i \(-0.758640\pi\)
0.783983 + 0.620783i \(0.213185\pi\)
\(374\) 5.17519 17.6251i 0.267603 0.911372i
\(375\) −11.2158 + 15.7862i −0.579184 + 0.815197i
\(376\) −2.90048 6.35116i −0.149581 0.327536i
\(377\) 5.69382 + 6.57102i 0.293247 + 0.338425i
\(378\) 0.586164 + 2.92709i 0.0301490 + 0.150553i
\(379\) −16.0166 2.30284i −0.822716 0.118289i −0.281915 0.959439i \(-0.590970\pi\)
−0.540801 + 0.841151i \(0.681879\pi\)
\(380\) −1.68833 + 0.124481i −0.0866094 + 0.00638572i
\(381\) 21.2124 19.0705i 1.08674 0.977013i
\(382\) 5.82106 + 6.71787i 0.297832 + 0.343716i
\(383\) −24.9667 + 11.4019i −1.27574 + 0.582611i −0.934030 0.357194i \(-0.883734\pi\)
−0.341711 + 0.939805i \(0.611006\pi\)
\(384\) 1.65269 0.518272i 0.0843386 0.0264480i
\(385\) −5.56009 0.385389i −0.283368 0.0196412i
\(386\) 12.2701 + 10.6321i 0.624533 + 0.541161i
\(387\) −13.4176 3.41233i −0.682054 0.173459i
\(388\) 3.23093 7.07475i 0.164026 0.359166i
\(389\) 4.66718 + 32.4610i 0.236636 + 1.64584i 0.668365 + 0.743833i \(0.266994\pi\)
−0.431730 + 0.902003i \(0.642097\pi\)
\(390\) 0.373880 7.33581i 0.0189321 0.371463i
\(391\) −14.2347 + 14.4801i −0.719882 + 0.732291i
\(392\) −6.66995 −0.336883
\(393\) −7.95827 0.996111i −0.401442 0.0502472i
\(394\) −6.22483 + 13.6305i −0.313602 + 0.686694i
\(395\) 10.1994 + 18.5816i 0.513186 + 0.934941i
\(396\) 12.3461 4.12098i 0.620414 0.207087i
\(397\) 4.05961 13.8257i 0.203746 0.693894i −0.792696 0.609616i \(-0.791323\pi\)
0.996442 0.0842780i \(-0.0268584\pi\)
\(398\) −8.13279 12.6549i −0.407660 0.634331i
\(399\) 0.743606 0.120827i 0.0372268 0.00604891i
\(400\) −4.55724 2.05707i −0.227862 0.102853i
\(401\) −19.4753 12.5160i −0.972550 0.625020i −0.0451061 0.998982i \(-0.514363\pi\)
−0.927444 + 0.373962i \(0.877999\pi\)
\(402\) 7.29684 16.7831i 0.363933 0.837067i
\(403\) −5.13211 0.737886i −0.255649 0.0367567i
\(404\) −7.76326 + 12.0799i −0.386237 + 0.600996i
\(405\) −2.78595 + 19.9308i −0.138435 + 0.990372i
\(406\) −2.39578 + 1.09411i −0.118900 + 0.0543000i
\(407\) −2.61654 + 1.68155i −0.129697 + 0.0833512i
\(408\) −3.85129 + 6.24068i −0.190667 + 0.308960i
\(409\) 14.8528 17.1410i 0.734422 0.847568i −0.258540 0.966001i \(-0.583241\pi\)
0.992962 + 0.118432i \(0.0377868\pi\)
\(410\) −0.980228 1.78581i −0.0484100 0.0881951i
\(411\) 11.0952 + 9.26444i 0.547286 + 0.456981i
\(412\) −0.130735 0.909280i −0.00644084 0.0447970i
\(413\) 2.63346i 0.129584i
\(414\) −14.1823 2.42126i −0.697022 0.118998i
\(415\) −5.23995 23.8354i −0.257219 1.17004i
\(416\) 1.87725 0.269908i 0.0920399 0.0132333i
\(417\) −3.05083 + 3.65371i −0.149400 + 0.178923i
\(418\) −0.925405 3.15164i −0.0452631 0.154152i
\(419\) −24.8634 + 28.6938i −1.21465 + 1.40179i −0.324650 + 0.945834i \(0.605246\pi\)
−0.890005 + 0.455951i \(0.849299\pi\)
\(420\) 2.10023 + 0.734720i 0.102481 + 0.0358507i
\(421\) 5.69135 + 8.85592i 0.277380 + 0.431611i 0.951792 0.306744i \(-0.0992394\pi\)
−0.674413 + 0.738355i \(0.735603\pi\)
\(422\) −11.6637 25.5400i −0.567780 1.24327i
\(423\) 3.73684 + 20.6103i 0.181691 + 1.00211i
\(424\) −1.10788 + 1.72390i −0.0538036 + 0.0837200i
\(425\) 20.2857 6.05338i 0.984002 0.293632i
\(426\) −18.7387 8.14705i −0.907891 0.394726i
\(427\) 1.34141 2.08727i 0.0649152 0.101010i
\(428\) 8.88017 7.69471i 0.429239 0.371938i
\(429\) 14.0674 2.28578i 0.679180 0.110359i
\(430\) −7.28075 + 7.31281i −0.351109 + 0.352655i
\(431\) 31.8931 + 9.36465i 1.53624 + 0.451080i 0.936952 0.349457i \(-0.113634\pi\)
0.599284 + 0.800537i \(0.295452\pi\)
\(432\) −5.18834 + 0.284821i −0.249624 + 0.0137034i
\(433\) −36.5857 + 10.7425i −1.75820 + 0.516253i −0.991987 0.126340i \(-0.959677\pi\)
−0.766208 + 0.642593i \(0.777859\pi\)
\(434\) 0.652450 1.42867i 0.0313186 0.0685781i
\(435\) −17.6807 + 1.62904i −0.847724 + 0.0781065i
\(436\) 2.20322i 0.105515i
\(437\) −0.741457 + 3.55438i −0.0354687 + 0.170029i
\(438\) −2.46919 + 9.01579i −0.117982 + 0.430791i
\(439\) −1.54789 10.7658i −0.0738770 0.513826i −0.992837 0.119475i \(-0.961879\pi\)
0.918960 0.394350i \(-0.129030\pi\)
\(440\) 2.04133 9.48412i 0.0973166 0.452138i
\(441\) 19.3925 + 4.93187i 0.923454 + 0.234851i
\(442\) −5.25846 + 6.06859i −0.250119 + 0.288653i
\(443\) −23.6937 6.95711i −1.12572 0.330542i −0.334698 0.942325i \(-0.608634\pi\)
−0.791026 + 0.611783i \(0.790452\pi\)
\(444\) 1.18480 0.371545i 0.0562283 0.0176328i
\(445\) −14.6697 19.5069i −0.695410 0.924717i
\(446\) 3.73902 3.23988i 0.177048 0.153413i
\(447\) −24.8825 27.6771i −1.17690 1.30908i
\(448\) −0.0817602 + 0.568655i −0.00386281 + 0.0268664i
\(449\) −16.8672 2.42514i −0.796013 0.114449i −0.267704 0.963501i \(-0.586265\pi\)
−0.528309 + 0.849052i \(0.677174\pi\)
\(450\) 11.7289 + 9.35053i 0.552907 + 0.440788i
\(451\) 2.98718 2.58841i 0.140661 0.121883i
\(452\) −15.7492 + 7.19241i −0.740780 + 0.338303i
\(453\) 12.9549 4.06257i 0.608676 0.190876i
\(454\) −0.797948 + 2.71756i −0.0374495 + 0.127541i
\(455\) 2.14091 + 1.16293i 0.100367 + 0.0545188i
\(456\) 0.0239702 + 1.31110i 0.00112251 + 0.0613981i
\(457\) −2.74112 + 6.00221i −0.128224 + 0.280771i −0.962846 0.270052i \(-0.912959\pi\)
0.834622 + 0.550824i \(0.185686\pi\)
\(458\) 19.6412 2.82398i 0.917773 0.131956i
\(459\) 15.8119 15.2967i 0.738036 0.713991i
\(460\) −6.93514 + 8.17948i −0.323352 + 0.381370i
\(461\) 19.2937i 0.898596i −0.893382 0.449298i \(-0.851674\pi\)
0.893382 0.449298i \(-0.148326\pi\)
\(462\) −0.536181 + 4.28373i −0.0249454 + 0.199297i
\(463\) 34.3737 + 15.6979i 1.59748 + 0.729545i 0.997513 0.0704797i \(-0.0224530\pi\)
0.599967 + 0.800025i \(0.295180\pi\)
\(464\) −1.29159 4.39876i −0.0599607 0.204208i
\(465\) 7.33206 7.63866i 0.340016 0.354234i
\(466\) −5.87908 1.72625i −0.272343 0.0799672i
\(467\) 10.4129 + 16.2028i 0.481852 + 0.749776i 0.994030 0.109103i \(-0.0347978\pi\)
−0.512179 + 0.858879i \(0.671161\pi\)
\(468\) −5.65759 0.603328i −0.261522 0.0278888i
\(469\) 3.97511 + 4.58752i 0.183553 + 0.211832i
\(470\) 14.6401 + 5.42386i 0.675296 + 0.250184i
\(471\) 1.20458 2.77061i 0.0555043 0.127663i
\(472\) −4.53723 0.652356i −0.208843 0.0300271i
\(473\) −16.8436 10.8247i −0.774470 0.497721i
\(474\) 14.8080 7.09254i 0.680155 0.325771i
\(475\) 2.46636 2.87173i 0.113164 0.131764i
\(476\) −1.31506 2.04627i −0.0602755 0.0937905i
\(477\) 4.49580 4.19297i 0.205848 0.191983i
\(478\) 15.4131 + 13.3555i 0.704978 + 0.610867i
\(479\) 7.04036 2.06724i 0.321682 0.0944545i −0.116905 0.993143i \(-0.537297\pi\)
0.438587 + 0.898689i \(0.355479\pi\)
\(480\) −1.78613 + 3.43653i −0.0815254 + 0.156855i
\(481\) 1.34579 0.193495i 0.0613627 0.00882263i
\(482\) 10.6776i 0.486351i
\(483\) 2.75636 3.89565i 0.125419 0.177258i
\(484\) 7.82312 0.355597
\(485\) 6.11340 + 16.2813i 0.277595 + 0.739297i
\(486\) 15.2954 + 3.00824i 0.693815 + 0.136457i
\(487\) 0.132000 + 0.449551i 0.00598149 + 0.0203711i 0.962430 0.271531i \(-0.0875300\pi\)
−0.956448 + 0.291902i \(0.905712\pi\)
\(488\) 3.26390 + 2.82819i 0.147750 + 0.128026i
\(489\) 12.7230 20.6165i 0.575354 0.932310i
\(490\) 10.5229 10.5693i 0.475377 0.477470i
\(491\) −6.87073 + 3.13776i −0.310072 + 0.141605i −0.564373 0.825520i \(-0.690882\pi\)
0.254301 + 0.967125i \(0.418155\pi\)
\(492\) −1.42315 + 0.681641i −0.0641606 + 0.0307307i
\(493\) 16.3290 + 10.4940i 0.735421 + 0.472626i
\(494\) −0.204346 + 1.42125i −0.00919394 + 0.0639453i
\(495\) −12.9478 + 26.0652i −0.581960 + 1.17154i
\(496\) 2.29985 + 1.47803i 0.103266 + 0.0663653i
\(497\) 5.12204 4.43828i 0.229755 0.199084i
\(498\) −18.6590 + 3.03186i −0.836130 + 0.135861i
\(499\) −13.8982 + 8.93186i −0.622171 + 0.399845i −0.813404 0.581700i \(-0.802388\pi\)
0.191233 + 0.981545i \(0.438751\pi\)
\(500\) 10.4494 3.97609i 0.467313 0.177816i
\(501\) 6.95902 4.65420i 0.310906 0.207934i
\(502\) 29.5540 8.67784i 1.31906 0.387311i
\(503\) 23.3427 + 10.6603i 1.04080 + 0.475317i 0.861117 0.508407i \(-0.169765\pi\)
0.179683 + 0.983725i \(0.442493\pi\)
\(504\) 0.658186 1.59288i 0.0293179 0.0709525i
\(505\) −6.89407 31.3597i −0.306782 1.39549i
\(506\) −18.3464 9.81533i −0.815598 0.436345i
\(507\) 15.7081 + 4.30205i 0.697623 + 0.191061i
\(508\) −16.3010 + 2.34373i −0.723241 + 0.103986i
\(509\) −29.4046 13.4286i −1.30334 0.595214i −0.361841 0.932240i \(-0.617852\pi\)
−0.941495 + 0.337026i \(0.890579\pi\)
\(510\) −3.81300 15.9485i −0.168842 0.706210i
\(511\) −2.34325 2.03044i −0.103659 0.0898212i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.899760 3.82969i 0.0397254 0.169085i
\(514\) 3.62655 + 7.94103i 0.159960 + 0.350264i
\(515\) 1.64711 + 1.22737i 0.0725803 + 0.0540845i
\(516\) 5.34401 + 5.94420i 0.235257 + 0.261679i
\(517\) −4.31105 + 29.9840i −0.189600 + 1.31870i
\(518\) −0.0586133 + 0.407664i −0.00257532 + 0.0179117i
\(519\) −28.9279 32.1768i −1.26979 1.41241i
\(520\) −2.53397 + 3.40054i −0.111122 + 0.149123i
\(521\) 10.4930 + 22.9765i 0.459706 + 1.00662i 0.987554 + 0.157278i \(0.0502718\pi\)
−0.527848 + 0.849339i \(0.677001\pi\)
\(522\) 0.502724 + 13.7442i 0.0220036 + 0.601568i
\(523\) 12.4314 + 3.65020i 0.543588 + 0.159612i 0.541987 0.840387i \(-0.317672\pi\)
0.00160124 + 0.999999i \(0.499490\pi\)
\(524\) 3.49954 + 3.03237i 0.152878 + 0.132470i
\(525\) −4.47770 + 2.16891i −0.195423 + 0.0946589i
\(526\) 24.2997 + 11.0973i 1.05952 + 0.483865i
\(527\) −11.4571 + 1.64728i −0.499078 + 0.0717566i
\(528\) −7.24771 1.98496i −0.315416 0.0863842i
\(529\) 12.7636 + 19.1335i 0.554938 + 0.831892i
\(530\) −0.983843 4.47529i −0.0427354 0.194394i
\(531\) 12.7094 + 5.25160i 0.551542 + 0.227900i
\(532\) −0.395646 0.180685i −0.0171534 0.00783370i
\(533\) −1.65785 + 0.486789i −0.0718096 + 0.0210852i
\(534\) −15.7151 + 10.5103i −0.680061 + 0.454825i
\(535\) −1.81679 + 26.2113i −0.0785467 + 1.13321i
\(536\) −8.88864 + 5.71238i −0.383931 + 0.246737i
\(537\) 43.9265 7.13752i 1.89557 0.308007i
\(538\) 2.30705 1.99907i 0.0994642 0.0861862i
\(539\) 24.3442 + 15.6451i 1.04858 + 0.673880i
\(540\) 7.73411 8.67084i 0.332823 0.373134i
\(541\) −6.07479 + 42.2511i −0.261176 + 1.81652i 0.262876 + 0.964830i \(0.415329\pi\)
−0.524051 + 0.851687i \(0.675580\pi\)
\(542\) 13.6259 + 8.75683i 0.585282 + 0.376138i
\(543\) −12.5031 + 5.98856i −0.536559 + 0.256994i
\(544\) 3.85132 1.75884i 0.165124 0.0754096i
\(545\) 3.49124 + 3.47593i 0.149548 + 0.148893i
\(546\) 0.991107 1.60600i 0.0424155 0.0687305i
\(547\) 25.1502 + 21.7928i 1.07535 + 0.931792i 0.997872 0.0652022i \(-0.0207692\pi\)
0.0774734 + 0.996994i \(0.475315\pi\)
\(548\) −2.35115 8.00728i −0.100436 0.342054i
\(549\) −7.39843 10.6362i −0.315757 0.453942i
\(550\) 11.8081 + 18.1974i 0.503499 + 0.775942i
\(551\) 3.47087 0.147864
\(552\) 6.02910 + 5.71401i 0.256616 + 0.243205i
\(553\) 5.44598i 0.231587i
\(554\) −21.6554 + 3.11357i −0.920049 + 0.132283i
\(555\) −1.28046 + 2.46362i −0.0543527 + 0.104575i
\(556\) 2.63684 0.774245i 0.111827 0.0328353i
\(557\) −17.4925 15.1573i −0.741181 0.642237i 0.200133 0.979769i \(-0.435862\pi\)
−0.941314 + 0.337532i \(0.890408\pi\)
\(558\) −5.59383 5.99783i −0.236806 0.253909i
\(559\) 4.73192 + 7.36301i 0.200139 + 0.311422i
\(560\) −0.772105 1.02670i −0.0326274 0.0433861i
\(561\) 28.6947 13.7438i 1.21149 0.580264i
\(562\) 18.5880 + 11.9458i 0.784088 + 0.503903i
\(563\) 5.50318 + 0.791238i 0.231932 + 0.0333467i 0.257301 0.966331i \(-0.417167\pi\)
−0.0253690 + 0.999678i \(0.508076\pi\)
\(564\) 4.82185 11.0905i 0.203037 0.466995i
\(565\) 13.4497 36.3035i 0.565834 1.52730i
\(566\) 7.14266 + 8.24307i 0.300228 + 0.346482i
\(567\) −3.09145 + 4.14454i −0.129829 + 0.174054i
\(568\) 6.37797 + 9.92432i 0.267614 + 0.416415i
\(569\) −0.643026 0.188810i −0.0269571 0.00791531i 0.268226 0.963356i \(-0.413563\pi\)
−0.295183 + 0.955441i \(0.595381\pi\)
\(570\) −2.11540 2.03049i −0.0886045 0.0850481i
\(571\) 1.67479 + 5.70380i 0.0700876 + 0.238696i 0.987085 0.160196i \(-0.0512127\pi\)
−0.916998 + 0.398893i \(0.869395\pi\)
\(572\) −7.48475 3.41817i −0.312953 0.142921i
\(573\) −1.91218 + 15.2770i −0.0798823 + 0.638206i
\(574\) 0.523395i 0.0218461i
\(575\) −2.01998 23.8939i −0.0842391 0.996446i
\(576\) 2.58136 + 1.52859i 0.107557 + 0.0636912i
\(577\) 2.33005 0.335011i 0.0970015 0.0139467i −0.0936432 0.995606i \(-0.529851\pi\)
0.190645 + 0.981659i \(0.438942\pi\)
\(578\) −0.384744 + 0.842472i −0.0160032 + 0.0350422i
\(579\) 0.514036 + 28.1164i 0.0213626 + 1.16848i
\(580\) 9.00802 + 4.89309i 0.374038 + 0.203174i
\(581\) 1.76651 6.01617i 0.0732871 0.249593i
\(582\) 12.8540 4.03091i 0.532815 0.167087i
\(583\) 8.08718 3.69329i 0.334937 0.152960i
\(584\) 4.07875 3.53425i 0.168780 0.146248i
\(585\) 9.88180 8.01323i 0.408562 0.331306i
\(586\) 3.78289 + 0.543897i 0.156270 + 0.0224682i
\(587\) −0.0775637 + 0.539468i −0.00320140 + 0.0222662i −0.991360 0.131173i \(-0.958126\pi\)
0.988158 + 0.153439i \(0.0490348\pi\)
\(588\) −7.72373 8.59119i −0.318521 0.354295i
\(589\) −1.56423 + 1.35541i −0.0644529 + 0.0558488i
\(590\) 8.19195 6.16055i 0.337257 0.253626i
\(591\) −24.7650 + 7.76610i −1.01869 + 0.319455i
\(592\) −0.687854 0.201972i −0.0282706 0.00830100i
\(593\) −18.9862 + 21.9112i −0.779670 + 0.899787i −0.997086 0.0762921i \(-0.975692\pi\)
0.217416 + 0.976079i \(0.430237\pi\)
\(594\) 19.6046 + 11.1302i 0.804388 + 0.456679i
\(595\) 5.31725 + 1.14447i 0.217986 + 0.0469185i
\(596\) 3.05802 + 21.2690i 0.125261 + 0.871212i
\(597\) 6.88235 25.1296i 0.281676 1.02849i
\(598\) 5.51279 + 7.23454i 0.225435 + 0.295842i
\(599\) 41.0074i 1.67552i −0.546041 0.837758i \(-0.683866\pi\)
0.546041 0.837758i \(-0.316134\pi\)
\(600\) −2.62765 8.25200i −0.107273 0.336886i
\(601\) 4.61828 10.1126i 0.188383 0.412502i −0.791749 0.610847i \(-0.790829\pi\)
0.980132 + 0.198344i \(0.0635564\pi\)
\(602\) −2.54387 + 0.746949i −0.103681 + 0.0304434i
\(603\) 30.0671 10.0361i 1.22443 0.408700i
\(604\) −7.52116 2.20841i −0.306032 0.0898590i
\(605\) −12.3422 + 12.3966i −0.501783 + 0.503993i
\(606\) −24.5492 + 3.98894i −0.997242 + 0.162040i
\(607\) 8.31904 7.20849i 0.337659 0.292584i −0.469482 0.882942i \(-0.655559\pi\)
0.807141 + 0.590359i \(0.201014\pi\)
\(608\) 0.409315 0.636907i 0.0165999 0.0258300i
\(609\) −4.18355 1.81889i −0.169526 0.0737053i
\(610\) −9.63091 + 0.710088i −0.389944 + 0.0287506i
\(611\) 7.15916 11.1399i 0.289629 0.450671i
\(612\) −12.4980 + 2.26600i −0.505203 + 0.0915978i
\(613\) −1.45018 3.17544i −0.0585721 0.128255i 0.878083 0.478509i \(-0.158823\pi\)
−0.936655 + 0.350254i \(0.886095\pi\)
\(614\) 10.8342 + 16.8583i 0.437233 + 0.680347i
\(615\) 1.16511 3.33053i 0.0469819 0.134300i
\(616\) 1.63225 1.88372i 0.0657652 0.0758971i
\(617\) 11.5226 + 39.2424i 0.463883 + 1.57984i 0.776601 + 0.629993i \(0.216942\pi\)
−0.312718 + 0.949846i \(0.601239\pi\)
\(618\) 1.01980 1.22133i 0.0410225 0.0491291i
\(619\) −16.3081 + 2.34475i −0.655477 + 0.0942433i −0.462026 0.886867i \(-0.652877\pi\)
−0.193451 + 0.981110i \(0.561968\pi\)
\(620\) −5.97048 + 1.31254i −0.239780 + 0.0527130i
\(621\) −13.3043 21.0712i −0.533882 0.845559i
\(622\) 30.4598i 1.22133i
\(623\) −0.892438 6.20704i −0.0357548 0.248680i
\(624\) 2.52149 + 2.10543i 0.100941 + 0.0842848i
\(625\) −10.1851 + 22.8312i −0.407405 + 0.913248i
\(626\) −7.66085 + 8.84109i −0.306189 + 0.353361i
\(627\) 2.98784 4.84153i 0.119323 0.193352i
\(628\) −1.46736 + 0.943017i −0.0585541 + 0.0376305i
\(629\) 2.76098 1.26090i 0.110088 0.0502753i
\(630\) 1.48570 + 3.55599i 0.0591916 + 0.141674i
\(631\) 1.99723 3.10775i 0.0795086 0.123718i −0.799222 0.601036i \(-0.794755\pi\)
0.878730 + 0.477318i \(0.158391\pi\)
\(632\) −9.38299 1.34907i −0.373235 0.0536632i
\(633\) 19.3901 44.5984i 0.770689 1.77263i
\(634\) −17.3033 11.1202i −0.687202 0.441638i
\(635\) 22.0036 29.5284i 0.873186 1.17180i
\(636\) −3.50338 + 0.569257i −0.138918 + 0.0225725i
\(637\) −6.83907 10.6418i −0.270974 0.421644i
\(638\) −5.60366 + 19.0843i −0.221851 + 0.755555i
\(639\) −11.2054 33.5704i −0.443280 1.32803i
\(640\) 1.96019 1.07594i 0.0774833 0.0425304i
\(641\) 10.9234 23.9190i 0.431450 0.944743i −0.561639 0.827382i \(-0.689829\pi\)
0.993089 0.117361i \(-0.0374435\pi\)
\(642\) 20.1943 + 2.52766i 0.797005 + 0.0997586i
\(643\) −5.68433 −0.224168 −0.112084 0.993699i \(-0.535753\pi\)
−0.112084 + 0.993699i \(0.535753\pi\)
\(644\) −2.57318 + 0.984873i −0.101397 + 0.0388094i
\(645\) −17.8503 0.909763i −0.702853 0.0358219i
\(646\) 0.456187 + 3.17285i 0.0179484 + 0.124834i
\(647\) 13.7095 30.0195i 0.538974 1.18019i −0.422769 0.906237i \(-0.638942\pi\)
0.961744 0.273951i \(-0.0883307\pi\)
\(648\) −6.37491 6.35299i −0.250430 0.249569i
\(649\) 15.0300 + 13.0235i 0.589978 + 0.511219i
\(650\) −1.39077 9.38024i −0.0545506 0.367923i
\(651\) 2.59571 0.813996i 0.101734 0.0319030i
\(652\) −12.7231 + 5.81044i −0.498274 + 0.227554i
\(653\) −18.3593 21.1877i −0.718453 0.829139i 0.272667 0.962108i \(-0.412094\pi\)
−0.991120 + 0.132969i \(0.957549\pi\)
\(654\) 2.83784 2.55130i 0.110968 0.0997639i
\(655\) −10.3262 + 0.761353i −0.403479 + 0.0297485i
\(656\) 0.901768 + 0.129655i 0.0352081 + 0.00506217i
\(657\) −14.4720 + 7.25977i −0.564608 + 0.283231i
\(658\) 2.62681 + 3.03150i 0.102404 + 0.118180i
\(659\) 12.2381 + 26.7977i 0.476729 + 1.04389i 0.983350 + 0.181722i \(0.0581670\pi\)
−0.506621 + 0.862169i \(0.669106\pi\)
\(660\) 14.5798 8.35320i 0.567518 0.325148i
\(661\) 3.70112 12.6048i 0.143957 0.490272i −0.855672 0.517518i \(-0.826856\pi\)
0.999629 + 0.0272470i \(0.00867405\pi\)
\(662\) 13.2938 15.3419i 0.516678 0.596278i
\(663\) −13.9059 + 0.254233i −0.540059 + 0.00987359i
\(664\) 9.92779 + 4.53387i 0.385273 + 0.175948i
\(665\) 0.910511 0.341884i 0.0353081 0.0132577i
\(666\) 1.85056 + 1.09583i 0.0717077 + 0.0424627i
\(667\) 15.4133 15.6790i 0.596804 0.607092i
\(668\) −4.83355 −0.187016
\(669\) 8.50286 + 1.06428i 0.328739 + 0.0411473i
\(670\) 4.97137 23.0972i 0.192061 0.892323i
\(671\) −5.27889 17.9782i −0.203789 0.694042i
\(672\) −0.827130 + 0.553186i −0.0319072 + 0.0213396i
\(673\) 1.70195 5.79630i 0.0656052 0.223431i −0.920165 0.391532i \(-0.871945\pi\)
0.985770 + 0.168101i \(0.0537635\pi\)
\(674\) −16.1017 + 10.3479i −0.620214 + 0.398587i
\(675\) 1.53808 + 25.9352i 0.0592008 + 0.998246i
\(676\) −6.15770 7.10637i −0.236835 0.273322i
\(677\) 20.1519 31.3569i 0.774500 1.20515i −0.199788 0.979839i \(-0.564025\pi\)
0.974288 0.225306i \(-0.0723382\pi\)
\(678\) −27.5016 11.9569i −1.05619 0.459203i
\(679\) −0.635898 + 4.42277i −0.0244035 + 0.169730i
\(680\) −3.28900 + 8.87768i −0.126128 + 0.340444i
\(681\) −4.42435 + 2.11912i −0.169542 + 0.0812047i
\(682\) −4.92721 10.7891i −0.188673 0.413135i
\(683\) −26.2398 + 16.8633i −1.00404 + 0.645255i −0.935843 0.352417i \(-0.885360\pi\)
−0.0681933 + 0.997672i \(0.521723\pi\)
\(684\) −1.66100 + 1.54912i −0.0635100 + 0.0592321i
\(685\) 16.3977 + 8.90712i 0.626525 + 0.340324i
\(686\) 7.53530 2.21256i 0.287699 0.0844760i
\(687\) 26.3817 + 22.0286i 1.00653 + 0.840443i
\(688\) −0.656769 4.56793i −0.0250391 0.174151i
\(689\) −3.88643 −0.148061
\(690\) −18.5664 + 0.538993i −0.706809 + 0.0205191i
\(691\) 23.5950 0.897594 0.448797 0.893634i \(-0.351853\pi\)
0.448797 + 0.893634i \(0.351853\pi\)
\(692\) 3.55519 + 24.7269i 0.135148 + 0.939974i
\(693\) −6.13853 + 4.26990i −0.233184 + 0.162200i
\(694\) −19.5629 + 5.74418i −0.742596 + 0.218046i
\(695\) −2.93316 + 5.39985i −0.111261 + 0.204828i
\(696\) 4.17015 6.75736i 0.158069 0.256137i
\(697\) −3.24496 + 2.08541i −0.122911 + 0.0789904i
\(698\) 3.92459 + 8.59366i 0.148548 + 0.325275i
\(699\) −4.58443 9.57151i −0.173399 0.362028i
\(700\) 2.84504 + 0.396303i 0.107532 + 0.0149788i
\(701\) 2.27831 15.8460i 0.0860507 0.598496i −0.900477 0.434903i \(-0.856783\pi\)
0.986528 0.163593i \(-0.0523083\pi\)
\(702\) −5.77432 7.98588i −0.217938 0.301408i
\(703\) 0.293435 0.456594i 0.0110671 0.0172208i
\(704\) 2.84115 + 3.27887i 0.107080 + 0.123577i
\(705\) 9.96690 + 25.1378i 0.375375 + 0.946746i
\(706\) 0.286025 0.183817i 0.0107647 0.00691806i
\(707\) 2.32415 7.91532i 0.0874086 0.297686i
\(708\) −4.41381 6.59958i −0.165881 0.248027i
\(709\) 3.93294 + 13.3944i 0.147705 + 0.503036i 0.999793 0.0203625i \(-0.00648203\pi\)
−0.852088 + 0.523399i \(0.824664\pi\)
\(710\) −25.7884 5.55062i −0.967823 0.208311i
\(711\) 26.2831 + 10.8603i 0.985692 + 0.407293i
\(712\) 10.9153 0.409069
\(713\) −0.823550 + 13.0851i −0.0308422 + 0.490043i
\(714\) 1.11286 4.06341i 0.0416478 0.152069i
\(715\) 17.2249 6.46769i 0.644174 0.241878i
\(716\) −23.3717 10.6735i −0.873441 0.398887i
\(717\) 0.645704 + 35.3183i 0.0241143 + 1.31899i
\(718\) −19.9323 + 23.0031i −0.743866 + 0.858467i
\(719\) 11.4827 39.1066i 0.428234 1.45843i −0.409479 0.912320i \(-0.634289\pi\)
0.837713 0.546111i \(-0.183892\pi\)
\(720\) −6.49473 + 1.67885i −0.242044 + 0.0625671i
\(721\) 0.219237 + 0.480063i 0.00816483 + 0.0178785i
\(722\) −12.0670 13.9261i −0.449087 0.518274i
\(723\) −13.7532 + 12.3646i −0.511488 + 0.459843i
\(724\) 7.92249 + 1.13908i 0.294437 + 0.0423337i
\(725\) −21.9652 + 6.55455i −0.815768 + 0.243430i
\(726\) 9.05910 + 10.0765i 0.336215 + 0.373975i
\(727\) 9.06946 + 10.4667i 0.336368 + 0.388189i 0.898584 0.438801i \(-0.144597\pi\)
−0.562217 + 0.826990i \(0.690051\pi\)
\(728\) −0.991113 + 0.452626i −0.0367331 + 0.0167754i
\(729\) 13.8372 + 23.1847i 0.512489 + 0.858694i
\(730\) −0.834469 + 12.0391i −0.0308851 + 0.445586i
\(731\) 14.7667 + 12.7954i 0.546167 + 0.473256i
\(732\) 0.136736 + 7.47907i 0.00505390 + 0.276434i
\(733\) −0.916145 + 2.00608i −0.0338386 + 0.0740962i −0.925797 0.378022i \(-0.876604\pi\)
0.891958 + 0.452118i \(0.149332\pi\)
\(734\) 3.68351 + 25.6194i 0.135961 + 0.945629i
\(735\) 25.7991 + 1.31489i 0.951614 + 0.0485003i
\(736\) −1.05943 4.67735i −0.0390512 0.172409i
\(737\) 45.8410 1.68858
\(738\) −2.52598 1.04375i −0.0929825 0.0384209i
\(739\) −8.91485 + 19.5208i −0.327938 + 0.718084i −0.999744 0.0226436i \(-0.992792\pi\)
0.671806 + 0.740727i \(0.265519\pi\)
\(740\) 1.40525 0.771336i 0.0516579 0.0283549i
\(741\) −2.06727 + 1.38259i −0.0759431 + 0.0507908i
\(742\) 0.331676 1.12958i 0.0121762 0.0414684i
\(743\) −17.5658 27.3330i −0.644428 1.00275i −0.997737 0.0672427i \(-0.978580\pi\)
0.353309 0.935507i \(-0.385057\pi\)
\(744\) 0.759444 + 4.67385i 0.0278426 + 0.171352i
\(745\) −38.5275 28.7095i −1.41154 1.05183i
\(746\) −1.43767 0.923935i −0.0526369 0.0338277i
\(747\) −25.5121 20.5228i −0.933440 0.750889i
\(748\) −18.1822 2.61421i −0.664807 0.0955848i
\(749\) −3.64959 + 5.67887i −0.133353 + 0.207501i
\(750\) 17.2217 + 8.85507i 0.628848 + 0.323341i
\(751\) −29.0480 + 13.2658i −1.05998 + 0.484074i −0.867608 0.497249i \(-0.834344\pi\)
−0.192367 + 0.981323i \(0.561616\pi\)
\(752\) −5.87373 + 3.77482i −0.214193 + 0.137653i
\(753\) 45.4007 + 28.0180i 1.65449 + 1.02103i
\(754\) 5.69382 6.57102i 0.207357 0.239302i
\(755\) 15.3653 8.43397i 0.559201 0.306944i
\(756\) 2.81387 0.996766i 0.102340 0.0362520i
\(757\) −5.12196 35.6240i −0.186161 1.29478i −0.841835 0.539734i \(-0.818525\pi\)
0.655674 0.755044i \(-0.272384\pi\)
\(758\) 16.1813i 0.587730i
\(759\) −8.60239 34.9971i −0.312247 1.27031i
\(760\) 0.363488 + 1.65343i 0.0131851 + 0.0599761i
\(761\) −19.8969 + 2.86075i −0.721263 + 0.103702i −0.493165 0.869936i \(-0.664160\pi\)
−0.228099 + 0.973638i \(0.573251\pi\)
\(762\) −21.8953 18.2824i −0.793182 0.662302i
\(763\) 0.356604 + 1.21448i 0.0129099 + 0.0439672i
\(764\) 5.82106 6.71787i 0.210599 0.243044i
\(765\) 16.1269 23.3795i 0.583070 0.845287i
\(766\) 14.8390 + 23.0900i 0.536155 + 0.834274i
\(767\) −3.61146 7.90799i −0.130402 0.285541i
\(768\) −0.748199 1.56211i −0.0269983 0.0563679i
\(769\) −26.3684 + 41.0300i −0.950869 + 1.47958i −0.0749124 + 0.997190i \(0.523868\pi\)
−0.875956 + 0.482390i \(0.839769\pi\)
\(770\) 0.409817 + 5.55834i 0.0147688 + 0.200309i
\(771\) −6.02890 + 13.8668i −0.217125 + 0.499400i
\(772\) 8.77768 13.6583i 0.315916 0.491574i
\(773\) −32.9457 + 28.5476i −1.18498 + 1.02679i −0.185954 + 0.982558i \(0.559538\pi\)