Properties

Label 384.2.v.a.13.4
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30780 - 0.538203i) q^{2} +(0.290285 + 0.956940i) q^{3} +(1.42068 + 1.40772i) q^{4} +(0.403677 + 4.09860i) q^{5} +(0.135394 - 1.40772i) q^{6} +(2.40587 - 3.60064i) q^{7} +(-1.10032 - 2.60563i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.30780 - 0.538203i) q^{2} +(0.290285 + 0.956940i) q^{3} +(1.42068 + 1.40772i) q^{4} +(0.403677 + 4.09860i) q^{5} +(0.135394 - 1.40772i) q^{6} +(2.40587 - 3.60064i) q^{7} +(-1.10032 - 2.60563i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(1.67795 - 5.57741i) q^{10} +(3.69226 - 1.97355i) q^{11} +(-0.934705 + 1.76814i) q^{12} +(2.07273 + 0.204146i) q^{13} +(-5.08427 + 3.41406i) q^{14} +(-3.80494 + 1.57606i) q^{15} +(0.0366390 + 3.99983i) q^{16} +(2.08349 + 0.863012i) q^{17} +(1.38640 - 0.279075i) q^{18} +(-0.762517 + 0.625782i) q^{19} +(-5.19620 + 6.39105i) q^{20} +(4.14398 + 1.25706i) q^{21} +(-5.89090 + 0.593827i) q^{22} +(-1.23231 + 6.19525i) q^{23} +(2.17403 - 1.80931i) q^{24} +(-11.7317 + 2.33357i) q^{25} +(-2.60084 - 1.38253i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(8.48666 - 1.72854i) q^{28} +(-2.11203 + 3.95134i) q^{29} +(5.82433 - 0.0133375i) q^{30} +(-0.316443 + 0.316443i) q^{31} +(2.10480 - 5.25070i) q^{32} +(2.96038 + 2.96038i) q^{33} +(-2.26032 - 2.24999i) q^{34} +(15.7288 + 8.40721i) q^{35} +(-1.96334 - 0.381193i) q^{36} +(5.08749 - 6.19913i) q^{37} +(1.33402 - 0.408008i) q^{38} +(0.406326 + 2.04274i) q^{39} +(10.2353 - 5.56160i) q^{40} +(-10.8379 - 2.15579i) q^{41} +(-4.74294 - 3.87429i) q^{42} +(-0.851862 + 2.80821i) q^{43} +(8.02371 + 2.39389i) q^{44} +(-2.61271 - 3.18359i) q^{45} +(4.94591 - 7.43890i) q^{46} +(1.75384 - 4.23416i) q^{47} +(-3.81697 + 1.19615i) q^{48} +(-4.49760 - 10.8582i) q^{49} +(16.5986 + 3.26217i) q^{50} +(-0.221044 + 2.24430i) q^{51} +(2.65730 + 3.20785i) q^{52} +(0.570397 + 1.06714i) q^{53} +(0.669510 + 1.24570i) q^{54} +(9.57929 + 14.3364i) q^{55} +(-12.0291 - 2.30695i) q^{56} +(-0.820183 - 0.548029i) q^{57} +(4.88874 - 4.03085i) q^{58} +(3.98990 - 0.392970i) q^{59} +(-7.62423 - 3.11723i) q^{60} +(-0.499604 + 0.151553i) q^{61} +(0.584155 - 0.243534i) q^{62} +4.33045i q^{63} +(-5.57860 + 5.73404i) q^{64} +8.57771i q^{65} +(-2.27830 - 5.46486i) q^{66} +(-2.49792 + 0.757735i) q^{67} +(1.74509 + 4.15904i) q^{68} +(-6.28620 + 0.619137i) q^{69} +(-16.0453 - 19.4602i) q^{70} +(-4.03542 - 2.69638i) q^{71} +(2.36249 + 1.55520i) q^{72} +(3.48671 + 5.21823i) q^{73} +(-9.98981 + 5.36911i) q^{74} +(-5.63861 - 10.5491i) q^{75} +(-1.96422 - 0.184379i) q^{76} +(1.77704 - 18.0426i) q^{77} +(0.568015 - 2.89018i) q^{78} +(0.944047 + 2.27913i) q^{79} +(-16.3789 + 1.76481i) q^{80} +(0.382683 - 0.923880i) q^{81} +(13.0135 + 8.65232i) q^{82} +(-10.3791 - 12.6469i) q^{83} +(4.11766 + 7.61945i) q^{84} +(-2.69608 + 8.88780i) q^{85} +(2.62545 - 3.21410i) q^{86} +(-4.39429 - 0.874078i) q^{87} +(-9.20500 - 7.44911i) q^{88} +(-3.30001 - 16.5903i) q^{89} +(1.70348 + 5.56967i) q^{90} +(5.72177 - 6.97200i) q^{91} +(-10.4719 + 7.06668i) q^{92} +(-0.394676 - 0.210959i) q^{93} +(-4.57251 + 4.59350i) q^{94} +(-2.87264 - 2.87264i) q^{95} +(5.63559 + 0.489976i) q^{96} +(3.83195 - 3.83195i) q^{97} +(0.0380614 + 16.6209i) q^{98} +(-1.97355 + 3.69226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30780 0.538203i −0.924753 0.380567i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) 1.42068 + 1.40772i 0.710338 + 0.703861i
\(5\) 0.403677 + 4.09860i 0.180530 + 1.83295i 0.478163 + 0.878271i \(0.341303\pi\)
−0.297633 + 0.954680i \(0.596197\pi\)
\(6\) 0.135394 1.40772i 0.0552743 0.574698i
\(7\) 2.40587 3.60064i 0.909333 1.36091i −0.0231625 0.999732i \(-0.507374\pi\)
0.932496 0.361181i \(-0.117626\pi\)
\(8\) −1.10032 2.60563i −0.389021 0.921229i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 1.67795 5.57741i 0.530615 1.76373i
\(11\) 3.69226 1.97355i 1.11326 0.595048i 0.190986 0.981593i \(-0.438831\pi\)
0.922271 + 0.386544i \(0.126331\pi\)
\(12\) −0.934705 + 1.76814i −0.269826 + 0.510419i
\(13\) 2.07273 + 0.204146i 0.574872 + 0.0566200i 0.381276 0.924461i \(-0.375485\pi\)
0.193596 + 0.981081i \(0.437985\pi\)
\(14\) −5.08427 + 3.41406i −1.35883 + 0.912447i
\(15\) −3.80494 + 1.57606i −0.982431 + 0.406936i
\(16\) 0.0366390 + 3.99983i 0.00915974 + 0.999958i
\(17\) 2.08349 + 0.863012i 0.505322 + 0.209311i 0.620756 0.784004i \(-0.286826\pi\)
−0.115434 + 0.993315i \(0.536826\pi\)
\(18\) 1.38640 0.279075i 0.326779 0.0657786i
\(19\) −0.762517 + 0.625782i −0.174933 + 0.143564i −0.717786 0.696264i \(-0.754844\pi\)
0.542852 + 0.839828i \(0.317344\pi\)
\(20\) −5.19620 + 6.39105i −1.16191 + 1.42908i
\(21\) 4.14398 + 1.25706i 0.904291 + 0.274314i
\(22\) −5.89090 + 0.593827i −1.25594 + 0.126604i
\(23\) −1.23231 + 6.19525i −0.256955 + 1.29180i 0.609597 + 0.792711i \(0.291331\pi\)
−0.866552 + 0.499087i \(0.833669\pi\)
\(24\) 2.17403 1.80931i 0.443771 0.369324i
\(25\) −11.7317 + 2.33357i −2.34633 + 0.466715i
\(26\) −2.60084 1.38253i −0.510067 0.271137i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) 8.48666 1.72854i 1.60383 0.326664i
\(29\) −2.11203 + 3.95134i −0.392195 + 0.733745i −0.998089 0.0618007i \(-0.980316\pi\)
0.605894 + 0.795546i \(0.292816\pi\)
\(30\) 5.82433 0.0133375i 1.06337 0.00243509i
\(31\) −0.316443 + 0.316443i −0.0568349 + 0.0568349i −0.734953 0.678118i \(-0.762796\pi\)
0.678118 + 0.734953i \(0.262796\pi\)
\(32\) 2.10480 5.25070i 0.372080 0.928201i
\(33\) 2.96038 + 2.96038i 0.515336 + 0.515336i
\(34\) −2.26032 2.24999i −0.387641 0.385870i
\(35\) 15.7288 + 8.40721i 2.65865 + 1.42108i
\(36\) −1.96334 0.381193i −0.327223 0.0635321i
\(37\) 5.08749 6.19913i 0.836379 1.01913i −0.163092 0.986611i \(-0.552147\pi\)
0.999471 0.0325198i \(-0.0103532\pi\)
\(38\) 1.33402 0.408008i 0.216406 0.0661876i
\(39\) 0.406326 + 2.04274i 0.0650643 + 0.327100i
\(40\) 10.2353 5.56160i 1.61834 0.879366i
\(41\) −10.8379 2.15579i −1.69259 0.336678i −0.747696 0.664041i \(-0.768840\pi\)
−0.944899 + 0.327363i \(0.893840\pi\)
\(42\) −4.74294 3.87429i −0.731852 0.597816i
\(43\) −0.851862 + 2.80821i −0.129908 + 0.428248i −0.997630 0.0688002i \(-0.978083\pi\)
0.867723 + 0.497049i \(0.165583\pi\)
\(44\) 8.02371 + 2.39389i 1.20962 + 0.360893i
\(45\) −2.61271 3.18359i −0.389479 0.474582i
\(46\) 4.94591 7.43890i 0.729235 1.09681i
\(47\) 1.75384 4.23416i 0.255825 0.617615i −0.742830 0.669481i \(-0.766517\pi\)
0.998654 + 0.0518656i \(0.0165167\pi\)
\(48\) −3.81697 + 1.19615i −0.550931 + 0.172650i
\(49\) −4.49760 10.8582i −0.642514 1.55117i
\(50\) 16.5986 + 3.26217i 2.34740 + 0.461341i
\(51\) −0.221044 + 2.24430i −0.0309524 + 0.314265i
\(52\) 2.65730 + 3.20785i 0.368501 + 0.444849i
\(53\) 0.570397 + 1.06714i 0.0783500 + 0.146583i 0.918046 0.396475i \(-0.129767\pi\)
−0.839696 + 0.543057i \(0.817267\pi\)
\(54\) 0.669510 + 1.24570i 0.0911088 + 0.169518i
\(55\) 9.57929 + 14.3364i 1.29167 + 1.93312i
\(56\) −12.0291 2.30695i −1.60746 0.308280i
\(57\) −0.820183 0.548029i −0.108636 0.0725881i
\(58\) 4.88874 4.03085i 0.641923 0.529277i
\(59\) 3.98990 0.392970i 0.519440 0.0511604i 0.165100 0.986277i \(-0.447205\pi\)
0.354340 + 0.935116i \(0.384705\pi\)
\(60\) −7.62423 3.11723i −0.984284 0.402432i
\(61\) −0.499604 + 0.151553i −0.0639677 + 0.0194044i −0.322106 0.946703i \(-0.604391\pi\)
0.258139 + 0.966108i \(0.416891\pi\)
\(62\) 0.584155 0.243534i 0.0741877 0.0309288i
\(63\) 4.33045i 0.545585i
\(64\) −5.57860 + 5.73404i −0.697325 + 0.716755i
\(65\) 8.57771i 1.06393i
\(66\) −2.27830 5.46486i −0.280439 0.672678i
\(67\) −2.49792 + 0.757735i −0.305169 + 0.0925721i −0.439155 0.898411i \(-0.644722\pi\)
0.133986 + 0.990983i \(0.457222\pi\)
\(68\) 1.74509 + 4.15904i 0.211623 + 0.504358i
\(69\) −6.28620 + 0.619137i −0.756770 + 0.0745353i
\(70\) −16.0453 19.4602i −1.91778 2.32594i
\(71\) −4.03542 2.69638i −0.478916 0.320001i 0.292574 0.956243i \(-0.405488\pi\)
−0.771490 + 0.636241i \(0.780488\pi\)
\(72\) 2.36249 + 1.55520i 0.278422 + 0.183282i
\(73\) 3.48671 + 5.21823i 0.408089 + 0.610748i 0.977406 0.211370i \(-0.0677924\pi\)
−0.569317 + 0.822118i \(0.692792\pi\)
\(74\) −9.98981 + 5.36911i −1.16129 + 0.624147i
\(75\) −5.63861 10.5491i −0.651091 1.21811i
\(76\) −1.96422 0.184379i −0.225311 0.0211497i
\(77\) 1.77704 18.0426i 0.202512 2.05614i
\(78\) 0.568015 2.89018i 0.0643151 0.327248i
\(79\) 0.944047 + 2.27913i 0.106214 + 0.256422i 0.968047 0.250769i \(-0.0806836\pi\)
−0.861833 + 0.507192i \(0.830684\pi\)
\(80\) −16.3789 + 1.76481i −1.83122 + 0.197312i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) 13.0135 + 8.65232i 1.43710 + 0.955489i
\(83\) −10.3791 12.6469i −1.13925 1.38818i −0.909896 0.414836i \(-0.863839\pi\)
−0.229353 0.973343i \(-0.573661\pi\)
\(84\) 4.11766 + 7.61945i 0.449274 + 0.831351i
\(85\) −2.69608 + 8.88780i −0.292431 + 0.964017i
\(86\) 2.62545 3.21410i 0.283110 0.346586i
\(87\) −4.39429 0.874078i −0.471117 0.0937110i
\(88\) −9.20500 7.44911i −0.981257 0.794078i
\(89\) −3.30001 16.5903i −0.349801 1.75857i −0.609412 0.792854i \(-0.708595\pi\)
0.259612 0.965713i \(-0.416405\pi\)
\(90\) 1.70348 + 5.56967i 0.179562 + 0.587094i
\(91\) 5.72177 6.97200i 0.599805 0.730864i
\(92\) −10.4719 + 7.06668i −1.09177 + 0.736753i
\(93\) −0.394676 0.210959i −0.0409260 0.0218754i
\(94\) −4.57251 + 4.59350i −0.471618 + 0.473783i
\(95\) −2.87264 2.87264i −0.294727 0.294727i
\(96\) 5.63559 + 0.489976i 0.575180 + 0.0500079i
\(97\) 3.83195 3.83195i 0.389076 0.389076i −0.485282 0.874358i \(-0.661283\pi\)
0.874358 + 0.485282i \(0.161283\pi\)
\(98\) 0.0380614 + 16.6209i 0.00384479 + 1.67897i
\(99\) −1.97355 + 3.69226i −0.198349 + 0.371086i
\(100\) −19.9519 13.1997i −1.99519 1.31997i
\(101\) 12.6817 + 10.4076i 1.26188 + 1.03560i 0.997463 + 0.0711881i \(0.0226791\pi\)
0.264416 + 0.964409i \(0.414821\pi\)
\(102\) 1.49697 2.81613i 0.148222 0.278838i
\(103\) 13.0794 2.60165i 1.28875 0.256348i 0.497298 0.867580i \(-0.334325\pi\)
0.791452 + 0.611231i \(0.209325\pi\)
\(104\) −1.74873 5.62539i −0.171478 0.551615i
\(105\) −3.47937 + 17.4920i −0.339552 + 1.70704i
\(106\) −0.171628 1.70259i −0.0166700 0.165370i
\(107\) 6.21814 + 1.88625i 0.601131 + 0.182351i 0.576160 0.817337i \(-0.304551\pi\)
0.0249710 + 0.999688i \(0.492051\pi\)
\(108\) −0.205148 1.98945i −0.0197404 0.191435i
\(109\) −0.630276 + 0.517254i −0.0603695 + 0.0495440i −0.664094 0.747649i \(-0.731183\pi\)
0.603725 + 0.797193i \(0.293683\pi\)
\(110\) −4.81188 23.9047i −0.458795 2.27923i
\(111\) 7.40902 + 3.06892i 0.703233 + 0.291289i
\(112\) 14.4901 + 9.49115i 1.36919 + 0.896829i
\(113\) −10.0526 + 4.16392i −0.945668 + 0.391708i −0.801601 0.597859i \(-0.796018\pi\)
−0.144067 + 0.989568i \(0.546018\pi\)
\(114\) 0.777683 + 1.15814i 0.0728367 + 0.108469i
\(115\) −25.8893 2.54987i −2.41419 0.237777i
\(116\) −8.56290 + 2.64041i −0.795045 + 0.245156i
\(117\) −1.83683 + 0.981806i −0.169815 + 0.0907680i
\(118\) −5.42948 1.63345i −0.499824 0.150371i
\(119\) 8.12001 5.42562i 0.744360 0.497365i
\(120\) 8.29326 + 8.18009i 0.757068 + 0.746737i
\(121\) 3.62658 5.42756i 0.329689 0.493414i
\(122\) 0.734947 + 0.0706870i 0.0665390 + 0.00639970i
\(123\) −1.08311 10.9970i −0.0976608 0.991567i
\(124\) −0.895028 + 0.00409920i −0.0803758 + 0.000368119i
\(125\) −8.32261 27.4360i −0.744397 2.45395i
\(126\) 2.33066 5.66336i 0.207632 0.504532i
\(127\) 19.2668 1.70966 0.854828 0.518912i \(-0.173663\pi\)
0.854828 + 0.518912i \(0.173663\pi\)
\(128\) 10.3818 4.49656i 0.917627 0.397443i
\(129\) −2.93457 −0.258375
\(130\) 4.61655 11.2179i 0.404898 0.983877i
\(131\) −5.36638 17.6906i −0.468862 1.54563i −0.798780 0.601623i \(-0.794521\pi\)
0.329918 0.944010i \(-0.392979\pi\)
\(132\) 0.0383486 + 8.37312i 0.00333782 + 0.728787i
\(133\) 0.418696 + 4.25110i 0.0363056 + 0.368617i
\(134\) 3.67459 + 0.353421i 0.317436 + 0.0305309i
\(135\) 2.28808 3.42435i 0.196927 0.294721i
\(136\) −0.0438197 6.37840i −0.00375751 0.546943i
\(137\) −11.5968 + 7.74871i −0.990778 + 0.662017i −0.941586 0.336772i \(-0.890665\pi\)
−0.0491922 + 0.998789i \(0.515665\pi\)
\(138\) 8.55431 + 2.57354i 0.728191 + 0.219075i
\(139\) −17.2078 + 9.19774i −1.45954 + 0.780142i −0.994459 0.105124i \(-0.966476\pi\)
−0.465085 + 0.885266i \(0.653976\pi\)
\(140\) 10.5105 + 34.0857i 0.888298 + 2.88076i
\(141\) 4.56095 + 0.449214i 0.384101 + 0.0378307i
\(142\) 3.82632 + 5.69819i 0.321097 + 0.478182i
\(143\) 8.05595 3.33688i 0.673672 0.279044i
\(144\) −2.25265 3.30538i −0.187721 0.275449i
\(145\) −17.0475 7.06132i −1.41572 0.586411i
\(146\) −1.75145 8.70096i −0.144951 0.720097i
\(147\) 9.08504 7.45590i 0.749321 0.614952i
\(148\) 15.9543 1.64518i 1.31144 0.135233i
\(149\) 1.24809 + 0.378604i 0.102247 + 0.0310164i 0.340994 0.940066i \(-0.389236\pi\)
−0.238746 + 0.971082i \(0.576736\pi\)
\(150\) 1.69662 + 16.8308i 0.138528 + 1.37423i
\(151\) 1.78160 8.95670i 0.144984 0.728886i −0.838069 0.545565i \(-0.816315\pi\)
0.983053 0.183321i \(-0.0586848\pi\)
\(152\) 2.46957 + 1.29828i 0.200308 + 0.105304i
\(153\) −2.21183 + 0.439960i −0.178816 + 0.0355686i
\(154\) −12.0346 + 22.6397i −0.969774 + 1.82436i
\(155\) −1.42472 1.16923i −0.114436 0.0939152i
\(156\) −2.29835 + 3.47407i −0.184015 + 0.278148i
\(157\) −4.84861 + 9.07112i −0.386961 + 0.723954i −0.997693 0.0678836i \(-0.978375\pi\)
0.610732 + 0.791837i \(0.290875\pi\)
\(158\) −0.00798910 3.48873i −0.000635579 0.277549i
\(159\) −0.855609 + 0.855609i −0.0678542 + 0.0678542i
\(160\) 22.3702 + 6.50717i 1.76852 + 0.514437i
\(161\) 19.3421 + 19.3421i 1.52437 + 1.52437i
\(162\) −0.997707 + 1.00229i −0.0783873 + 0.0787471i
\(163\) 10.8632 + 5.80650i 0.850871 + 0.454800i 0.838357 0.545121i \(-0.183516\pi\)
0.0125143 + 0.999922i \(0.496016\pi\)
\(164\) −12.3624 18.3194i −0.965340 1.43051i
\(165\) −10.9384 + 13.3284i −0.851551 + 1.03762i
\(166\) 6.76711 + 22.1257i 0.525230 + 1.71728i
\(167\) −1.16856 5.87472i −0.0904255 0.454600i −0.999296 0.0375210i \(-0.988054\pi\)
0.908870 0.417079i \(-0.136946\pi\)
\(168\) −1.28426 12.1808i −0.0990828 0.939773i
\(169\) −8.49567 1.68989i −0.653513 0.129992i
\(170\) 8.30937 10.1724i 0.637300 0.780188i
\(171\) 0.286344 0.943950i 0.0218973 0.0721857i
\(172\) −5.16340 + 2.79037i −0.393706 + 0.212764i
\(173\) 9.66611 + 11.7782i 0.734901 + 0.895479i 0.997589 0.0694014i \(-0.0221089\pi\)
−0.262688 + 0.964881i \(0.584609\pi\)
\(174\) 5.27641 + 3.50813i 0.400004 + 0.265951i
\(175\) −19.8225 + 47.8558i −1.49844 + 3.61756i
\(176\) 8.02916 + 14.6961i 0.605221 + 1.10776i
\(177\) 1.53425 + 3.70402i 0.115322 + 0.278411i
\(178\) −4.61318 + 23.4728i −0.345773 + 1.75936i
\(179\) 1.49249 15.1535i 0.111554 1.13262i −0.762565 0.646911i \(-0.776060\pi\)
0.874119 0.485712i \(-0.161440\pi\)
\(180\) 0.769803 8.20082i 0.0573778 0.611253i
\(181\) −7.56082 14.1453i −0.561991 1.05141i −0.989105 0.147214i \(-0.952970\pi\)
0.427113 0.904198i \(-0.359530\pi\)
\(182\) −11.2353 + 6.03850i −0.832814 + 0.447604i
\(183\) −0.290055 0.434097i −0.0214414 0.0320894i
\(184\) 17.4984 3.60580i 1.29000 0.265823i
\(185\) 27.4615 + 18.3492i 2.01901 + 1.34906i
\(186\) 0.402618 + 0.488307i 0.0295214 + 0.0358044i
\(187\) 9.39600 0.925425i 0.687103 0.0676738i
\(188\) 8.45216 3.54644i 0.616437 0.258650i
\(189\) −4.14398 + 1.25706i −0.301430 + 0.0914379i
\(190\) 2.21077 + 5.30290i 0.160386 + 0.384713i
\(191\) 4.14071i 0.299611i −0.988715 0.149806i \(-0.952135\pi\)
0.988715 0.149806i \(-0.0478648\pi\)
\(192\) −7.10652 3.67388i −0.512869 0.265140i
\(193\) 9.80073i 0.705472i −0.935723 0.352736i \(-0.885251\pi\)
0.935723 0.352736i \(-0.114749\pi\)
\(194\) −7.07379 + 2.94906i −0.507869 + 0.211730i
\(195\) −8.20836 + 2.48998i −0.587813 + 0.178311i
\(196\) 8.89565 21.7573i 0.635404 1.55409i
\(197\) 12.3943 1.22074i 0.883060 0.0869738i 0.353688 0.935363i \(-0.384927\pi\)
0.529372 + 0.848390i \(0.322427\pi\)
\(198\) 4.56819 3.76656i 0.324647 0.267678i
\(199\) −6.90638 4.61470i −0.489580 0.327127i 0.286157 0.958183i \(-0.407622\pi\)
−0.775738 + 0.631055i \(0.782622\pi\)
\(200\) 18.9890 + 28.0007i 1.34272 + 1.97995i
\(201\) −1.45021 2.17040i −0.102290 0.153088i
\(202\) −10.9837 20.4364i −0.772813 1.43790i
\(203\) 9.14606 + 17.1111i 0.641927 + 1.20096i
\(204\) −3.47338 + 2.87725i −0.243185 + 0.201448i
\(205\) 4.46072 45.2905i 0.311550 3.16322i
\(206\) −18.5054 3.63692i −1.28933 0.253396i
\(207\) −2.41726 5.83579i −0.168012 0.405616i
\(208\) −0.740608 + 8.29805i −0.0513519 + 0.575367i
\(209\) −1.58040 + 3.81541i −0.109318 + 0.263918i
\(210\) 13.9646 21.0034i 0.963646 1.44937i
\(211\) 2.46336 + 3.00162i 0.169585 + 0.206640i 0.850867 0.525381i \(-0.176077\pi\)
−0.681282 + 0.732021i \(0.738577\pi\)
\(212\) −0.691884 + 2.31902i −0.0475188 + 0.159271i
\(213\) 1.40885 4.64437i 0.0965331 0.318227i
\(214\) −7.11689 5.81346i −0.486501 0.397400i
\(215\) −11.8536 2.35783i −0.808411 0.160803i
\(216\) −0.802436 + 2.71221i −0.0545988 + 0.184543i
\(217\) 0.378077 + 1.90072i 0.0256655 + 0.129029i
\(218\) 1.10266 0.337248i 0.0746817 0.0228413i
\(219\) −3.98140 + 4.85135i −0.269038 + 0.327824i
\(220\) −6.57263 + 33.8524i −0.443126 + 2.28233i
\(221\) 4.14234 + 2.21413i 0.278644 + 0.148938i
\(222\) −8.03781 8.00108i −0.539462 0.536997i
\(223\) −8.46313 8.46313i −0.566733 0.566733i 0.364479 0.931212i \(-0.381247\pi\)
−0.931212 + 0.364479i \(0.881247\pi\)
\(224\) −13.8420 20.2111i −0.924855 1.35041i
\(225\) 8.45806 8.45806i 0.563871 0.563871i
\(226\) 15.3878 0.0352376i 1.02358 0.00234397i
\(227\) 0.915977 1.71367i 0.0607955 0.113740i −0.849688 0.527286i \(-0.823210\pi\)
0.910483 + 0.413545i \(0.135710\pi\)
\(228\) −0.393742 1.93316i −0.0260762 0.128027i
\(229\) −0.391555 0.321341i −0.0258747 0.0212348i 0.621367 0.783520i \(-0.286578\pi\)
−0.647242 + 0.762285i \(0.724078\pi\)
\(230\) 32.4857 + 17.2684i 2.14204 + 1.13865i
\(231\) 17.7815 3.53697i 1.16994 0.232715i
\(232\) 12.6196 + 1.15545i 0.828519 + 0.0758587i
\(233\) 1.07635 5.41118i 0.0705141 0.354498i −0.929379 0.369127i \(-0.879657\pi\)
0.999893 + 0.0146290i \(0.00465672\pi\)
\(234\) 2.93061 0.295418i 0.191580 0.0193121i
\(235\) 18.0621 + 5.47908i 1.17824 + 0.357416i
\(236\) 6.22154 + 5.05838i 0.404988 + 0.329272i
\(237\) −1.90695 + 1.56499i −0.123870 + 0.101657i
\(238\) −13.5394 + 2.72540i −0.877630 + 0.176662i
\(239\) 13.7038 + 5.67630i 0.886425 + 0.367169i 0.778985 0.627043i \(-0.215735\pi\)
0.107440 + 0.994212i \(0.465735\pi\)
\(240\) −6.44337 15.1614i −0.415918 0.978662i
\(241\) 2.87476 1.19077i 0.185180 0.0767040i −0.288167 0.957580i \(-0.593046\pi\)
0.473347 + 0.880876i \(0.343046\pi\)
\(242\) −7.66396 + 5.14632i −0.492658 + 0.330818i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) −0.923119 0.487995i −0.0590967 0.0312407i
\(245\) 42.6878 22.8171i 2.72722 1.45773i
\(246\) −4.50213 + 14.9648i −0.287045 + 0.954122i
\(247\) −1.70824 + 1.14141i −0.108693 + 0.0726263i
\(248\) 1.17272 + 0.476345i 0.0744679 + 0.0302480i
\(249\) 9.08946 13.6033i 0.576021 0.862077i
\(250\) −3.88181 + 40.3600i −0.245507 + 2.55259i
\(251\) −1.63488 16.5992i −0.103192 1.04773i −0.897739 0.440528i \(-0.854791\pi\)
0.794547 0.607203i \(-0.207709\pi\)
\(252\) −6.09607 + 6.15217i −0.384016 + 0.387550i
\(253\) 7.67663 + 25.3065i 0.482626 + 1.59100i
\(254\) −25.1972 10.3695i −1.58101 0.650638i
\(255\) −9.28772 −0.581620
\(256\) −15.9973 + 0.293099i −0.999832 + 0.0183187i
\(257\) −30.3890 −1.89561 −0.947807 0.318843i \(-0.896706\pi\)
−0.947807 + 0.318843i \(0.896706\pi\)
\(258\) 3.83783 + 1.57940i 0.238933 + 0.0983289i
\(259\) −10.0810 33.2325i −0.626401 2.06497i
\(260\) −12.0750 + 12.1861i −0.748861 + 0.755753i
\(261\) −0.439154 4.45880i −0.0271829 0.275993i
\(262\) −2.50297 + 26.0239i −0.154634 + 1.60776i
\(263\) 1.10778 1.65791i 0.0683086 0.102231i −0.795743 0.605635i \(-0.792919\pi\)
0.864051 + 0.503404i \(0.167919\pi\)
\(264\) 4.45629 10.9710i 0.274265 0.675218i
\(265\) −4.14352 + 2.76861i −0.254534 + 0.170074i
\(266\) 1.74038 5.78492i 0.106710 0.354696i
\(267\) 14.9180 7.97382i 0.912965 0.487990i
\(268\) −4.61541 2.43988i −0.281931 0.149039i
\(269\) −8.45877 0.833116i −0.515740 0.0507960i −0.163201 0.986593i \(-0.552182\pi\)
−0.352540 + 0.935797i \(0.614682\pi\)
\(270\) −4.83534 + 3.24691i −0.294270 + 0.197601i
\(271\) −24.7448 + 10.2496i −1.50314 + 0.622620i −0.974128 0.225995i \(-0.927437\pi\)
−0.529010 + 0.848615i \(0.677437\pi\)
\(272\) −3.37557 + 8.36525i −0.204674 + 0.507218i
\(273\) 8.33273 + 3.45153i 0.504320 + 0.208896i
\(274\) 19.3366 3.89234i 1.16817 0.235145i
\(275\) −38.7109 + 31.7692i −2.33436 + 1.91576i
\(276\) −9.80223 7.96963i −0.590025 0.479715i
\(277\) 2.24883 + 0.682174i 0.135119 + 0.0409879i 0.357120 0.934059i \(-0.383759\pi\)
−0.222001 + 0.975046i \(0.571259\pi\)
\(278\) 27.4546 2.76753i 1.64661 0.165986i
\(279\) 0.0873065 0.438920i 0.00522690 0.0262774i
\(280\) 4.59939 50.2340i 0.274866 3.00205i
\(281\) −10.7779 + 2.14386i −0.642956 + 0.127892i −0.505791 0.862656i \(-0.668799\pi\)
−0.137165 + 0.990548i \(0.543799\pi\)
\(282\) −5.72303 3.04220i −0.340802 0.181160i
\(283\) 11.5343 + 9.46599i 0.685645 + 0.562695i 0.911416 0.411486i \(-0.134990\pi\)
−0.225771 + 0.974180i \(0.572490\pi\)
\(284\) −1.93727 9.51143i −0.114956 0.564399i
\(285\) 1.91506 3.58283i 0.113439 0.212229i
\(286\) −12.3315 + 0.0282387i −0.729175 + 0.00166979i
\(287\) −33.8368 + 33.8368i −1.99732 + 1.99732i
\(288\) 1.16705 + 5.53516i 0.0687690 + 0.326162i
\(289\) −8.42465 8.42465i −0.495568 0.495568i
\(290\) 18.4943 + 18.4098i 1.08602 + 1.08106i
\(291\) 4.77931 + 2.55459i 0.280168 + 0.149753i
\(292\) −2.39233 + 12.3217i −0.140001 + 0.721075i
\(293\) 4.47488 5.45265i 0.261425 0.318547i −0.625711 0.780055i \(-0.715191\pi\)
0.887136 + 0.461507i \(0.152691\pi\)
\(294\) −15.8942 + 4.86122i −0.926968 + 0.283512i
\(295\) 3.22126 + 16.1944i 0.187549 + 0.942873i
\(296\) −21.7505 6.43510i −1.26422 0.374033i
\(297\) −4.10616 0.816766i −0.238264 0.0473936i
\(298\) −1.42848 1.16686i −0.0827498 0.0675945i
\(299\) −3.81898 + 12.5895i −0.220858 + 0.728070i
\(300\) 6.83956 22.9245i 0.394882 1.32354i
\(301\) 8.06189 + 9.82344i 0.464679 + 0.566214i
\(302\) −7.15049 + 10.7547i −0.411464 + 0.618863i
\(303\) −6.27816 + 15.1568i −0.360671 + 0.870737i
\(304\) −2.53096 3.02701i −0.145160 0.173611i
\(305\) −0.822835 1.98650i −0.0471154 0.113747i
\(306\) 3.12941 + 0.615032i 0.178897 + 0.0351591i
\(307\) 1.40187 14.2335i 0.0800092 0.812347i −0.868519 0.495655i \(-0.834928\pi\)
0.948529 0.316692i \(-0.102572\pi\)
\(308\) 27.9235 23.1311i 1.59109 1.31802i
\(309\) 6.28637 + 11.7610i 0.357619 + 0.669058i
\(310\) 1.23396 + 2.29591i 0.0700841 + 0.130399i
\(311\) −16.5216 24.7263i −0.936854 1.40210i −0.915495 0.402329i \(-0.868201\pi\)
−0.0213592 0.999772i \(-0.506799\pi\)
\(312\) 4.87553 3.30640i 0.276023 0.187188i
\(313\) 13.2628 + 8.86194i 0.749660 + 0.500907i 0.870745 0.491736i \(-0.163637\pi\)
−0.121085 + 0.992642i \(0.538637\pi\)
\(314\) 11.2231 9.25366i 0.633357 0.522214i
\(315\) −17.7488 + 1.74810i −1.00003 + 0.0984945i
\(316\) −1.86720 + 4.56686i −0.105038 + 0.256906i
\(317\) 10.9069 3.30856i 0.612590 0.185827i 0.0312817 0.999511i \(-0.490041\pi\)
0.581308 + 0.813684i \(0.302541\pi\)
\(318\) 1.57946 0.658474i 0.0885715 0.0369254i
\(319\) 18.7576i 1.05022i
\(320\) −25.7535 20.5498i −1.43967 1.14877i
\(321\) 6.49794i 0.362680i
\(322\) −14.8856 35.7055i −0.829540 1.98979i
\(323\) −2.12876 + 0.645751i −0.118447 + 0.0359306i
\(324\) 1.84423 0.773821i 0.102457 0.0429901i
\(325\) −24.7930 + 2.44189i −1.37527 + 0.135452i
\(326\) −11.0818 13.4403i −0.613764 0.744391i
\(327\) −0.677941 0.452986i −0.0374902 0.0250502i
\(328\) 6.30794 + 30.6116i 0.348298 + 1.69024i
\(329\) −11.0261 16.5018i −0.607891 0.909773i
\(330\) 21.4786 11.5439i 1.18236 0.635469i
\(331\) 8.17211 + 15.2889i 0.449180 + 0.840356i 0.999984 + 0.00572126i \(0.00182114\pi\)
−0.550804 + 0.834635i \(0.685679\pi\)
\(332\) 3.05807 32.5780i 0.167833 1.78795i
\(333\) −0.786045 + 7.98085i −0.0430750 + 0.437348i
\(334\) −1.63356 + 8.31188i −0.0893843 + 0.454806i
\(335\) −4.11401 9.93209i −0.224772 0.542648i
\(336\) −4.87621 + 16.6213i −0.266019 + 0.906766i
\(337\) 7.75748 18.7282i 0.422577 1.02019i −0.559008 0.829162i \(-0.688818\pi\)
0.981585 0.191028i \(-0.0611821\pi\)
\(338\) 10.2011 + 6.78244i 0.554868 + 0.368916i
\(339\) −6.90273 8.41101i −0.374905 0.456823i
\(340\) −16.3418 + 8.83134i −0.886259 + 0.478947i
\(341\) −0.543873 + 1.79291i −0.0294524 + 0.0970914i
\(342\) −0.882517 + 1.08039i −0.0477211 + 0.0584206i
\(343\) −20.1863 4.01530i −1.08996 0.216806i
\(344\) 8.25448 0.870292i 0.445052 0.0469230i
\(345\) −5.07519 25.5147i −0.273239 1.37367i
\(346\) −6.30228 20.6058i −0.338812 1.10778i
\(347\) −3.26437 + 3.97764i −0.175240 + 0.213531i −0.853222 0.521548i \(-0.825355\pi\)
0.677982 + 0.735079i \(0.262855\pi\)
\(348\) −5.01240 7.42771i −0.268693 0.398167i
\(349\) 2.28216 + 1.21984i 0.122161 + 0.0652965i 0.531345 0.847155i \(-0.321687\pi\)
−0.409184 + 0.912452i \(0.634187\pi\)
\(350\) 51.6799 51.9172i 2.76241 2.77509i
\(351\) −1.47273 1.47273i −0.0786087 0.0786087i
\(352\) −2.59104 23.5409i −0.138103 1.25473i
\(353\) 1.64386 1.64386i 0.0874940 0.0874940i −0.662005 0.749499i \(-0.730294\pi\)
0.749499 + 0.662005i \(0.230294\pi\)
\(354\) −0.0129838 5.66985i −0.000690081 0.301349i
\(355\) 9.42238 17.6280i 0.500088 0.935599i
\(356\) 18.6663 28.2149i 0.989310 1.49539i
\(357\) 7.54911 + 6.19539i 0.399541 + 0.327895i
\(358\) −10.1075 + 19.0144i −0.534198 + 1.00494i
\(359\) −4.96390 + 0.987381i −0.261985 + 0.0521120i −0.324335 0.945942i \(-0.605140\pi\)
0.0623502 + 0.998054i \(0.480140\pi\)
\(360\) −5.42045 + 10.3107i −0.285683 + 0.543422i
\(361\) −3.51689 + 17.6806i −0.185099 + 0.930557i
\(362\) 2.27499 + 22.5685i 0.119571 + 1.18617i
\(363\) 6.24659 + 1.89488i 0.327861 + 0.0994555i
\(364\) 17.9434 1.85029i 0.940491 0.0969815i
\(365\) −19.9800 + 16.3971i −1.04580 + 0.858265i
\(366\) 0.145701 + 0.723820i 0.00761590 + 0.0378347i
\(367\) 8.05638 + 3.33706i 0.420539 + 0.174193i 0.582910 0.812537i \(-0.301914\pi\)
−0.162371 + 0.986730i \(0.551914\pi\)
\(368\) −24.8251 4.70205i −1.29410 0.245111i
\(369\) 10.2091 4.22874i 0.531463 0.220139i
\(370\) −26.0385 38.7769i −1.35368 2.01591i
\(371\) 5.21467 + 0.513601i 0.270732 + 0.0266648i
\(372\) −0.263735 0.855298i −0.0136740 0.0443451i
\(373\) −26.1966 + 14.0024i −1.35641 + 0.725015i −0.979540 0.201252i \(-0.935499\pi\)
−0.376869 + 0.926267i \(0.622999\pi\)
\(374\) −12.7861 3.84668i −0.661156 0.198907i
\(375\) 23.8387 15.9285i 1.23102 0.822543i
\(376\) −12.9624 + 0.0890520i −0.668486 + 0.00459250i
\(377\) −5.18433 + 7.75889i −0.267006 + 0.399603i
\(378\) 6.09605 + 0.586317i 0.313547 + 0.0301569i
\(379\) 1.25509 + 12.7432i 0.0644698 + 0.654573i 0.972063 + 0.234721i \(0.0754178\pi\)
−0.907593 + 0.419851i \(0.862082\pi\)
\(380\) −0.0372121 8.12497i −0.00190894 0.416802i
\(381\) 5.59287 + 18.4372i 0.286531 + 0.944567i
\(382\) −2.22854 + 5.41522i −0.114022 + 0.277067i
\(383\) −3.92191 −0.200400 −0.100200 0.994967i \(-0.531948\pi\)
−0.100200 + 0.994967i \(0.531948\pi\)
\(384\) 7.31660 + 8.62945i 0.373374 + 0.440370i
\(385\) 74.6668 3.80537
\(386\) −5.27478 + 12.8174i −0.268479 + 0.652387i
\(387\) −0.851862 2.80821i −0.0433026 0.142749i
\(388\) 10.8383 0.0496390i 0.550231 0.00252004i
\(389\) 3.60284 + 36.5803i 0.182671 + 1.85469i 0.452474 + 0.891778i \(0.350542\pi\)
−0.269802 + 0.962916i \(0.586958\pi\)
\(390\) 12.0750 + 1.16137i 0.611441 + 0.0588082i
\(391\) −7.91408 + 11.8443i −0.400232 + 0.598990i
\(392\) −23.3436 + 23.6665i −1.17903 + 1.19534i
\(393\) 15.3710 10.2706i 0.775367 0.518083i
\(394\) −16.8663 5.07419i −0.849712 0.255634i
\(395\) −8.96017 + 4.78931i −0.450835 + 0.240976i
\(396\) −8.00145 + 2.46729i −0.402088 + 0.123986i
\(397\) −31.7781 3.12987i −1.59490 0.157084i −0.738809 0.673915i \(-0.764612\pi\)
−0.856087 + 0.516831i \(0.827112\pi\)
\(398\) 6.54852 + 9.75213i 0.328247 + 0.488830i
\(399\) −3.94650 + 1.63470i −0.197572 + 0.0818371i
\(400\) −9.76374 46.8392i −0.488187 2.34196i
\(401\) 26.9242 + 11.1524i 1.34453 + 0.556922i 0.934764 0.355269i \(-0.115611\pi\)
0.409765 + 0.912191i \(0.365611\pi\)
\(402\) 0.728474 + 3.61895i 0.0363330 + 0.180497i
\(403\) −0.720502 + 0.591301i −0.0358908 + 0.0294548i
\(404\) 3.36558 + 32.6382i 0.167444 + 1.62381i
\(405\) 3.94110 + 1.19552i 0.195835 + 0.0594058i
\(406\) −2.75198 27.3003i −0.136578 1.35489i
\(407\) 6.55003 32.9292i 0.324673 1.63224i
\(408\) 6.09103 1.89348i 0.301551 0.0937415i
\(409\) 20.5939 4.09637i 1.01830 0.202553i 0.342407 0.939552i \(-0.388758\pi\)
0.675894 + 0.736999i \(0.263758\pi\)
\(410\) −30.2092 + 56.8301i −1.49193 + 2.80664i
\(411\) −10.7814 8.84808i −0.531808 0.436444i
\(412\) 22.2440 + 14.7160i 1.09588 + 0.725007i
\(413\) 8.18422 15.3116i 0.402719 0.753435i
\(414\) 0.0204564 + 8.93302i 0.00100538 + 0.439034i
\(415\) 47.6449 47.6449i 2.33880 2.33880i
\(416\) 5.43460 10.4536i 0.266453 0.512529i
\(417\) −13.7968 13.7968i −0.675634 0.675634i
\(418\) 4.12031 4.13922i 0.201531 0.202456i
\(419\) −6.77057 3.61894i −0.330764 0.176797i 0.297652 0.954674i \(-0.403796\pi\)
−0.628416 + 0.777877i \(0.716296\pi\)
\(420\) −29.5669 + 19.9525i −1.44272 + 0.973580i
\(421\) −3.49466 + 4.25826i −0.170319 + 0.207535i −0.851174 0.524884i \(-0.824109\pi\)
0.680854 + 0.732419i \(0.261609\pi\)
\(422\) −1.60611 5.25130i −0.0781840 0.255629i
\(423\) 0.894102 + 4.49496i 0.0434727 + 0.218552i
\(424\) 2.15295 2.66043i 0.104556 0.129202i
\(425\) −26.4568 5.26258i −1.28334 0.255273i
\(426\) −4.34211 + 5.31565i −0.210376 + 0.257544i
\(427\) −0.656293 + 2.16351i −0.0317603 + 0.104700i
\(428\) 6.17865 + 11.4332i 0.298656 + 0.552643i
\(429\) 5.53171 + 6.74041i 0.267074 + 0.325430i
\(430\) 14.2332 + 9.46322i 0.686384 + 0.456357i
\(431\) −4.96123 + 11.9775i −0.238974 + 0.576935i −0.997177 0.0750838i \(-0.976078\pi\)
0.758203 + 0.652019i \(0.226078\pi\)
\(432\) 2.50914 3.11516i 0.120721 0.149878i
\(433\) 7.76377 + 18.7434i 0.373103 + 0.900750i 0.993221 + 0.116241i \(0.0370846\pi\)
−0.620118 + 0.784508i \(0.712915\pi\)
\(434\) 0.528524 2.68924i 0.0253700 0.129088i
\(435\) 1.80863 18.3633i 0.0867169 0.880452i
\(436\) −1.62357 0.152403i −0.0777548 0.00729878i
\(437\) −2.93721 5.49514i −0.140506 0.262868i
\(438\) 7.81788 4.20179i 0.373553 0.200769i
\(439\) −0.913309 1.36686i −0.0435898 0.0652368i 0.809035 0.587761i \(-0.199990\pi\)
−0.852624 + 0.522524i \(0.824990\pi\)
\(440\) 26.8151 40.7347i 1.27836 1.94195i
\(441\) 9.77210 + 6.52951i 0.465338 + 0.310929i
\(442\) −4.22570 5.12505i −0.200996 0.243774i
\(443\) 30.0403 2.95871i 1.42726 0.140572i 0.645311 0.763920i \(-0.276728\pi\)
0.781945 + 0.623347i \(0.214228\pi\)
\(444\) 6.20563 + 14.7898i 0.294506 + 0.701892i
\(445\) 66.6649 20.2226i 3.16022 0.958641i
\(446\) 6.51319 + 15.6229i 0.308408 + 0.739768i
\(447\) 1.30425i 0.0616889i
\(448\) 7.22483 + 33.8819i 0.341341 + 1.60077i
\(449\) 5.66430i 0.267315i −0.991028 0.133657i \(-0.957328\pi\)
0.991028 0.133657i \(-0.0426722\pi\)
\(450\) −15.6136 + 6.50929i −0.736032 + 0.306851i
\(451\) −44.2709 + 13.4294i −2.08463 + 0.632367i
\(452\) −20.1431 8.23567i −0.947452 0.387373i
\(453\) 9.08819 0.895109i 0.427001 0.0420559i
\(454\) −2.12022 + 1.74816i −0.0995067 + 0.0820451i
\(455\) 30.8852 + 20.6368i 1.44792 + 0.967470i
\(456\) −0.525497 + 2.74010i −0.0246086 + 0.128317i
\(457\) −9.06354 13.5645i −0.423975 0.634523i 0.556574 0.830798i \(-0.312115\pi\)
−0.980549 + 0.196275i \(0.937115\pi\)
\(458\) 0.339129 + 0.630985i 0.0158464 + 0.0294840i
\(459\) −1.06307 1.98887i −0.0496201 0.0928326i
\(460\) −33.1908 40.0675i −1.54753 1.86816i
\(461\) −2.99436 + 30.4022i −0.139461 + 1.41597i 0.629660 + 0.776871i \(0.283194\pi\)
−0.769121 + 0.639103i \(0.779306\pi\)
\(462\) −25.1583 4.94443i −1.17047 0.230036i
\(463\) −5.80437 14.0130i −0.269752 0.651239i 0.729719 0.683747i \(-0.239651\pi\)
−0.999471 + 0.0325077i \(0.989651\pi\)
\(464\) −15.8821 8.30301i −0.737307 0.385457i
\(465\) 0.705314 1.70278i 0.0327082 0.0789645i
\(466\) −4.31996 + 6.49744i −0.200118 + 0.300988i
\(467\) 7.81987 + 9.52854i 0.361861 + 0.440928i 0.921836 0.387581i \(-0.126689\pi\)
−0.559975 + 0.828510i \(0.689189\pi\)
\(468\) −3.99165 1.19092i −0.184514 0.0550502i
\(469\) −3.28133 + 10.8171i −0.151518 + 0.499488i
\(470\) −20.6727 16.8866i −0.953563 0.778921i
\(471\) −10.0880 2.00663i −0.464830 0.0924605i
\(472\) −5.41409 9.96379i −0.249204 0.458621i
\(473\) 2.39686 + 12.0498i 0.110208 + 0.554052i
\(474\) 3.33619 1.02037i 0.153236 0.0468672i
\(475\) 7.48529 9.12085i 0.343449 0.418493i
\(476\) 19.1737 + 3.72267i 0.878823 + 0.170628i
\(477\) −1.06714 0.570397i −0.0488609 0.0261167i
\(478\) −14.8668 14.7989i −0.679992 0.676885i
\(479\) 10.4293 + 10.4293i 0.476528 + 0.476528i 0.904019 0.427491i \(-0.140603\pi\)
−0.427491 + 0.904019i \(0.640603\pi\)
\(480\) 0.266745 + 23.2959i 0.0121752 + 1.06331i
\(481\) 11.8105 11.8105i 0.538514 0.538514i
\(482\) −4.40049 + 0.0100770i −0.200437 + 0.000458994i
\(483\) −12.8945 + 24.1239i −0.586720 + 1.09768i
\(484\) 12.7927 2.60559i 0.581486 0.118436i
\(485\) 17.2525 + 14.1588i 0.783397 + 0.642917i
\(486\) −1.24875 0.663798i −0.0566444 0.0301105i
\(487\) −24.6840 + 4.90996i −1.11854 + 0.222492i −0.719535 0.694456i \(-0.755645\pi\)
−0.399006 + 0.916948i \(0.630645\pi\)
\(488\) 0.944614 + 1.13502i 0.0427607 + 0.0513802i
\(489\) −2.40305 + 12.0810i −0.108670 + 0.546320i
\(490\) −68.1072 + 6.86549i −3.07677 + 0.310151i
\(491\) 25.5693 + 7.75636i 1.15393 + 0.350040i 0.808552 0.588425i \(-0.200252\pi\)
0.345375 + 0.938465i \(0.387752\pi\)
\(492\) 13.9420 17.1479i 0.628553 0.773087i
\(493\) −7.81046 + 6.40988i −0.351766 + 0.288687i
\(494\) 2.84835 0.573356i 0.128153 0.0257965i
\(495\) −15.9298 6.59833i −0.715990 0.296573i
\(496\) −1.27731 1.25413i −0.0573531 0.0563119i
\(497\) −19.4174 + 8.04294i −0.870988 + 0.360775i
\(498\) −19.2085 + 12.8985i −0.860755 + 0.577994i
\(499\) −2.51403 0.247610i −0.112543 0.0110846i 0.0415886 0.999135i \(-0.486758\pi\)
−0.154132 + 0.988050i \(0.549258\pi\)
\(500\) 26.7985 50.6935i 1.19846 2.26708i
\(501\) 5.28255 2.82358i 0.236007 0.126148i
\(502\) −6.79563 + 22.5883i −0.303304 + 1.00816i
\(503\) 21.5818 14.4205i 0.962285 0.642978i 0.0280386 0.999607i \(-0.491074\pi\)
0.934246 + 0.356629i \(0.116074\pi\)
\(504\) 11.2835 4.76487i 0.502609 0.212244i
\(505\) −37.5374 + 56.1787i −1.67039 + 2.49992i
\(506\) 3.58052 37.2274i 0.159173 1.65496i
\(507\) −0.849036 8.62040i −0.0377070 0.382846i
\(508\) 27.3719 + 27.1224i 1.21443 + 1.20336i
\(509\) −6.41845 21.1588i −0.284493 0.937846i −0.976420 0.215879i \(-0.930738\pi\)
0.691927 0.721967i \(-0.256762\pi\)
\(510\) 12.1465 + 4.99868i 0.537855 + 0.221345i
\(511\) 27.1775 1.20226
\(512\) 21.0790 + 8.22648i 0.931570 + 0.363563i
\(513\) 0.986425 0.0435517
\(514\) 39.7427 + 16.3555i 1.75298 + 0.721408i
\(515\) 15.9430 + 52.5570i 0.702532 + 2.31594i
\(516\) −4.16908 4.13106i −0.183533 0.181860i
\(517\) −1.88068 19.0949i −0.0827123 0.839792i
\(518\) −4.70194 + 48.8871i −0.206592 + 2.14797i
\(519\) −8.46510 + 12.6689i −0.371577 + 0.556104i
\(520\) 22.3503 9.43821i 0.980126 0.413893i
\(521\) −26.5985 + 17.7725i −1.16530 + 0.778629i −0.978999 0.203863i \(-0.934650\pi\)
−0.186302 + 0.982493i \(0.559650\pi\)
\(522\) −1.82541 + 6.06757i −0.0798962 + 0.265570i
\(523\) 26.8265 14.3391i 1.17304 0.627005i 0.234483 0.972120i \(-0.424660\pi\)
0.938560 + 0.345116i \(0.112160\pi\)
\(524\) 17.2795 32.6869i 0.754859 1.42794i
\(525\) −51.5493 5.07716i −2.24979 0.221585i
\(526\) −2.34104 + 1.57200i −0.102074 + 0.0685425i
\(527\) −0.932402 + 0.386214i −0.0406161 + 0.0168237i
\(528\) −11.7325 + 11.9495i −0.510594 + 0.520034i
\(529\) −15.6132 6.46722i −0.678837 0.281183i
\(530\) 6.90896 1.39073i 0.300106 0.0604095i
\(531\) −3.09915 + 2.54341i −0.134492 + 0.110375i
\(532\) −5.38953 + 6.62884i −0.233666 + 0.287397i
\(533\) −22.0239 6.68089i −0.953963 0.289381i
\(534\) −23.8012 + 2.39926i −1.02998 + 0.103826i
\(535\) −5.22088 + 26.2471i −0.225718 + 1.13476i
\(536\) 4.72288 + 5.67489i 0.203997 + 0.245118i
\(537\) 14.9342 2.97060i 0.644459 0.128191i
\(538\) 10.6140 + 5.64208i 0.457601 + 0.243247i
\(539\) −38.0355 31.2149i −1.63830 1.34452i
\(540\) 8.07116 1.64392i 0.347327 0.0707429i
\(541\) 3.08515 5.77192i 0.132641 0.248154i −0.806829 0.590785i \(-0.798818\pi\)
0.939470 + 0.342631i \(0.111318\pi\)
\(542\) 37.8776 0.0867386i 1.62698 0.00372574i
\(543\) 11.3414 11.3414i 0.486707 0.486707i
\(544\) 8.91676 9.12333i 0.382303 0.391159i
\(545\) −2.37445 2.37445i −0.101710 0.101710i
\(546\) −9.03992 8.99861i −0.386873 0.385105i
\(547\) 3.01786 + 1.61308i 0.129034 + 0.0689704i 0.534651 0.845073i \(-0.320443\pi\)
−0.405616 + 0.914043i \(0.632943\pi\)
\(548\) −27.3833 5.31661i −1.16976 0.227114i
\(549\) 0.331207 0.403577i 0.0141356 0.0172242i
\(550\) 67.7243 20.7134i 2.88778 0.883224i
\(551\) −0.862212 4.33463i −0.0367315 0.184662i
\(552\) 8.53006 + 15.6983i 0.363064 + 0.668162i
\(553\) 10.4776 + 2.08412i 0.445552 + 0.0886258i
\(554\) −2.57387 2.10247i −0.109353 0.0893255i
\(555\) −9.58742 + 31.6055i −0.406963 + 1.34158i
\(556\) −37.3945 11.1567i −1.58588 0.473151i
\(557\) −7.16254 8.72759i −0.303487 0.369800i 0.598828 0.800878i \(-0.295633\pi\)
−0.902315 + 0.431078i \(0.858133\pi\)
\(558\) −0.350407 + 0.527030i −0.0148339 + 0.0223110i
\(559\) −2.33897 + 5.64676i −0.0989277 + 0.238833i
\(560\) −33.0511 + 63.2205i −1.39667 + 2.67155i
\(561\) 3.61309 + 8.72277i 0.152545 + 0.368276i
\(562\) 15.2492 + 2.99696i 0.643247 + 0.126419i
\(563\) −0.482771 + 4.90165i −0.0203464 + 0.206580i 0.979637 + 0.200778i \(0.0643469\pi\)
−0.999983 + 0.00580227i \(0.998153\pi\)
\(564\) 5.84726 + 7.05873i 0.246214 + 0.297226i
\(565\) −21.1243 39.5207i −0.888704 1.66265i
\(566\) −9.98998 18.5874i −0.419910 0.781288i
\(567\) −2.40587 3.60064i −0.101037 0.151213i
\(568\) −2.58552 + 13.4817i −0.108486 + 0.565678i
\(569\) 14.4927 + 9.68371i 0.607566 + 0.405962i 0.820945 0.571007i \(-0.193447\pi\)
−0.213380 + 0.976969i \(0.568447\pi\)
\(570\) −4.43281 + 3.65493i −0.185670 + 0.153088i
\(571\) −10.7873 + 1.06245i −0.451433 + 0.0444623i −0.321179 0.947018i \(-0.604079\pi\)
−0.130254 + 0.991481i \(0.541579\pi\)
\(572\) 16.1423 + 6.59990i 0.674943 + 0.275956i
\(573\) 3.96241 1.20198i 0.165532 0.0502136i
\(574\) 62.4627 26.0407i 2.60714 1.08692i
\(575\) 75.5563i 3.15091i
\(576\) 1.45277 7.86698i 0.0605322 0.327791i
\(577\) 40.8833i 1.70200i 0.525169 + 0.850998i \(0.324002\pi\)
−0.525169 + 0.850998i \(0.675998\pi\)
\(578\) 6.48358 + 15.5519i 0.269681 + 0.646875i
\(579\) 9.37871 2.84500i 0.389766 0.118234i
\(580\) −14.2787 34.0301i −0.592889 1.41302i
\(581\) −70.5076 + 6.94439i −2.92515 + 0.288102i
\(582\) −4.87548 5.91313i −0.202095 0.245107i
\(583\) 4.21210 + 2.81444i 0.174447 + 0.116562i
\(584\) 9.76029 14.8268i 0.403883 0.613537i
\(585\) −4.76552 7.13210i −0.197030 0.294876i
\(586\) −8.78687 + 4.72258i −0.362982 + 0.195088i
\(587\) 5.09972 + 9.54091i 0.210488 + 0.393795i 0.964905 0.262601i \(-0.0845801\pi\)
−0.754417 + 0.656396i \(0.772080\pi\)
\(588\) 23.4027 + 2.19679i 0.965112 + 0.0905942i
\(589\) 0.0432690 0.439318i 0.00178287 0.0181018i
\(590\) 4.50309 22.9127i 0.185389 0.943300i
\(591\) 4.76606 + 11.5063i 0.196049 + 0.473305i
\(592\) 24.9819 + 20.1220i 1.02675 + 0.827009i
\(593\) 15.4872 37.3894i 0.635982 1.53540i −0.196006 0.980603i \(-0.562797\pi\)
0.831988 0.554794i \(-0.187203\pi\)
\(594\) 4.93045 + 3.27811i 0.202299 + 0.134503i
\(595\) 25.5153 + 31.0905i 1.04603 + 1.27459i
\(596\) 1.24016 + 2.29483i 0.0507990 + 0.0940001i
\(597\) 2.41117 7.94857i 0.0986827 0.325313i
\(598\) 11.7702 14.4091i 0.481318 0.589234i
\(599\) −3.60759 0.717595i −0.147402 0.0293201i 0.120838 0.992672i \(-0.461442\pi\)
−0.268240 + 0.963352i \(0.586442\pi\)
\(600\) −21.2828 + 26.2995i −0.868866 + 1.07367i
\(601\) −5.11374 25.7085i −0.208594 1.04867i −0.933159 0.359465i \(-0.882959\pi\)
0.724565 0.689206i \(-0.242041\pi\)
\(602\) −5.25633 17.1860i −0.214232 0.700449i
\(603\) 1.65597 2.01780i 0.0674362 0.0821713i
\(604\) 15.1396 10.2166i 0.616022 0.415706i
\(605\) 23.7094 + 12.6729i 0.963923 + 0.515228i
\(606\) 16.3680 16.4432i 0.664905 0.667957i
\(607\) −26.3292 26.3292i −1.06867 1.06867i −0.997461 0.0712099i \(-0.977314\pi\)
−0.0712099 0.997461i \(-0.522686\pi\)
\(608\) 1.68084 + 5.32089i 0.0681670 + 0.215791i
\(609\) −13.7193 + 13.7193i −0.555935 + 0.555935i
\(610\) 0.00696333 + 3.04079i 0.000281937 + 0.123118i
\(611\) 4.49963 8.41822i 0.182036 0.340565i
\(612\) −3.76163 2.48860i −0.152055 0.100596i
\(613\) 30.4058 + 24.9534i 1.22808 + 1.00786i 0.999410 + 0.0343560i \(0.0109380\pi\)
0.228671 + 0.973504i \(0.426562\pi\)
\(614\) −9.49386 + 17.8600i −0.383141 + 0.720772i
\(615\) 44.6352 8.87848i 1.79986 0.358015i
\(616\) −48.9676 + 15.2223i −1.97296 + 0.613323i
\(617\) −5.23814 + 26.3339i −0.210880 + 1.06016i 0.719759 + 0.694224i \(0.244252\pi\)
−0.930639 + 0.365940i \(0.880748\pi\)
\(618\) −1.89152 18.7643i −0.0760881 0.754812i
\(619\) −37.1753 11.2770i −1.49420 0.453261i −0.565708 0.824606i \(-0.691397\pi\)
−0.928495 + 0.371345i \(0.878897\pi\)
\(620\) −0.378103 3.66671i −0.0151850 0.147259i
\(621\) 4.88281 4.00722i 0.195940 0.160804i
\(622\) 8.29916 + 41.2290i 0.332766 + 1.65313i
\(623\) −67.6750 28.0319i −2.71134 1.12307i
\(624\) −8.15573 + 1.70008i −0.326490 + 0.0680577i
\(625\) 53.8345 22.2990i 2.15338 0.891960i
\(626\) −12.5756 18.7277i −0.502622 0.748511i
\(627\) −4.10989 0.404789i −0.164133 0.0161657i
\(628\) −19.6579 + 6.06162i −0.784436 + 0.241885i
\(629\) 15.9497 8.52529i 0.635956 0.339925i
\(630\) 24.1527 + 7.26628i 0.962266 + 0.289496i
\(631\) −16.9202 + 11.3057i −0.673584 + 0.450074i −0.844745 0.535169i \(-0.820248\pi\)
0.171161 + 0.985243i \(0.445248\pi\)
\(632\) 4.89982 4.96761i 0.194904 0.197601i
\(633\) −2.15729 + 3.22861i −0.0857446 + 0.128326i
\(634\) −16.0446 1.54317i −0.637214 0.0612871i
\(635\) 7.77759 + 78.9672i 0.308644 + 3.13372i
\(636\) −2.42000 + 0.0110835i −0.0959594 + 0.000439491i
\(637\) −7.10566 23.4242i −0.281537 0.928102i
\(638\) 10.0954 24.5311i 0.399680 0.971196i
\(639\) 4.85335 0.191996
\(640\) 22.6205 + 40.7356i 0.894153 + 1.61021i
\(641\) 8.21883 0.324624 0.162312 0.986739i \(-0.448105\pi\)
0.162312 + 0.986739i \(0.448105\pi\)
\(642\) 3.49721 8.49800i 0.138024 0.335389i
\(643\) −4.03994 13.3179i −0.159319 0.525206i 0.840544 0.541744i \(-0.182236\pi\)
−0.999863 + 0.0165377i \(0.994736\pi\)
\(644\) 0.250556 + 54.7070i 0.00987330 + 2.15576i
\(645\) −1.18462 12.0277i −0.0466444 0.473588i
\(646\) 3.13153 + 0.301190i 0.123208 + 0.0118502i
\(647\) −12.7105 + 19.0227i −0.499703 + 0.747859i −0.992495 0.122289i \(-0.960977\pi\)
0.492791 + 0.870148i \(0.335977\pi\)
\(648\) −2.82836 + 0.0194309i −0.111108 + 0.000763316i
\(649\) 13.9562 9.32522i 0.547828 0.366047i
\(650\) 33.7385 + 10.1501i 1.32333 + 0.398121i
\(651\) −1.70912 + 0.913546i −0.0669859 + 0.0358047i
\(652\) 7.25915 + 23.5415i 0.284290 + 0.921957i
\(653\) −3.78770 0.373055i −0.148224 0.0145988i 0.0236330 0.999721i \(-0.492477\pi\)
−0.171857 + 0.985122i \(0.554977\pi\)
\(654\) 0.642813 + 0.957284i 0.0251360 + 0.0374328i
\(655\) 70.3404 29.1359i 2.74843 1.13843i
\(656\) 8.22571 43.4287i 0.321160 1.69561i
\(657\) −5.79819 2.40169i −0.226209 0.0936988i
\(658\) 5.53867 + 27.5153i 0.215920 + 1.07266i
\(659\) −32.7720 + 26.8953i −1.27662 + 1.04769i −0.280482 + 0.959859i \(0.590494\pi\)
−0.996135 + 0.0878335i \(0.972006\pi\)
\(660\) −34.3026 + 3.53722i −1.33523 + 0.137686i
\(661\) 8.43353 + 2.55828i 0.328026 + 0.0995057i 0.450002 0.893027i \(-0.351423\pi\)
−0.121976 + 0.992533i \(0.538923\pi\)
\(662\) −2.45892 24.3931i −0.0955688 0.948065i
\(663\) −0.916330 + 4.60670i −0.0355873 + 0.178909i
\(664\) −21.5329 + 40.9596i −0.835638 + 1.58954i
\(665\) −17.2545 + 3.43214i −0.669102 + 0.133093i
\(666\) 5.32330 10.0143i 0.206274 0.388046i
\(667\) −21.8768 17.9538i −0.847074 0.695176i
\(668\) 6.60984 9.99108i 0.255742 0.386566i
\(669\) 5.64199 10.5554i 0.218132 0.408096i
\(670\) 0.0348152 + 15.2033i 0.00134503 + 0.587357i
\(671\) −1.54557 + 1.54557i −0.0596659 + 0.0596659i
\(672\) 15.3227 19.1129i 0.591087 0.737297i
\(673\) −7.07020 7.07020i −0.272536 0.272536i 0.557584 0.830120i \(-0.311728\pi\)
−0.830120 + 0.557584i \(0.811728\pi\)
\(674\) −20.2248 + 20.3176i −0.779030 + 0.782606i
\(675\) 10.5491 + 5.63861i 0.406035 + 0.217030i
\(676\) −9.69069 14.3603i −0.372719 0.552321i
\(677\) −11.7917 + 14.3682i −0.453191 + 0.552215i −0.948613 0.316437i \(-0.897513\pi\)
0.495422 + 0.868652i \(0.335013\pi\)
\(678\) 4.50056 + 14.7150i 0.172843 + 0.565125i
\(679\) −4.57830 23.0166i −0.175699 0.883298i
\(680\) 26.1248 2.75441i 1.00184 0.105627i
\(681\) 1.90578 + 0.379082i 0.0730295 + 0.0145265i
\(682\) 1.67622 2.05205i 0.0641859 0.0785770i
\(683\) 5.17134 17.0476i 0.197876 0.652310i −0.800705 0.599059i \(-0.795542\pi\)
0.998581 0.0532510i \(-0.0169583\pi\)
\(684\) 1.73562 0.937954i 0.0663631 0.0358636i
\(685\) −36.4402 44.4026i −1.39231 1.69653i
\(686\) 24.2386 + 16.1155i 0.925432 + 0.615293i
\(687\) 0.193842 0.467975i 0.00739552 0.0178544i
\(688\) −11.2636 3.30441i −0.429420 0.125980i
\(689\) 0.964427 + 2.32833i 0.0367417 + 0.0887024i
\(690\) −7.09476 + 36.0996i −0.270093 + 1.37429i
\(691\) −0.972475 + 9.87370i −0.0369947 + 0.375613i 0.958806 + 0.284063i \(0.0916823\pi\)
−0.995800 + 0.0915507i \(0.970818\pi\)
\(692\) −2.84801 + 30.3402i −0.108265 + 1.15336i
\(693\) 8.54637 + 15.9891i 0.324650 + 0.607377i
\(694\) 6.40991 3.44507i 0.243317 0.130773i
\(695\) −44.6443 66.8149i −1.69345 2.53443i
\(696\) 2.55759 + 12.4116i 0.0969453 + 0.470462i
\(697\) −20.7202 13.8448i −0.784834 0.524410i
\(698\) −2.32808 2.82357i −0.0881193 0.106874i
\(699\) 5.49062 0.540779i 0.207674 0.0204541i
\(700\) −95.5289 + 40.0829i −3.61065 + 1.51499i
\(701\) −37.6642 + 11.4253i −1.42256 + 0.431528i −0.905472 0.424407i \(-0.860483\pi\)
−0.517084 + 0.855934i \(0.672983\pi\)
\(702\) 1.13341 + 2.71867i 0.0427778 + 0.102610i
\(703\) 7.91060i 0.298354i
\(704\) −9.28119 + 32.1812i −0.349798 + 1.21288i
\(705\) 18.8749i 0.710868i
\(706\) −3.03457 + 1.26511i −0.114208 + 0.0476131i
\(707\) 67.9846 20.6229i 2.55683 0.775605i
\(708\) −3.03455 + 7.42201i −0.114045 + 0.278936i
\(709\) 32.6689 3.21760i 1.22691 0.120840i 0.536272 0.844045i \(-0.319832\pi\)
0.690633 + 0.723205i \(0.257332\pi\)
\(710\) −21.8100 + 17.9828i −0.818516 + 0.674882i
\(711\) −2.05116 1.37054i −0.0769247 0.0513994i
\(712\) −39.5971 + 26.8532i −1.48396 + 1.00637i
\(713\) −1.57049 2.35040i −0.0588152 0.0880232i
\(714\) −6.53834 12.1653i −0.244691 0.455274i
\(715\) 16.9286 + 31.6711i 0.633092 + 1.18443i
\(716\) 23.4522 19.4272i 0.876450 0.726027i
\(717\) −1.45388 + 14.7615i −0.0542960 + 0.551277i
\(718\) 7.02319 + 1.38029i 0.262103 + 0.0515119i
\(719\) 13.5867 + 32.8013i 0.506700 + 1.22328i 0.945772 + 0.324831i \(0.105307\pi\)
−0.439072 + 0.898452i \(0.644693\pi\)
\(720\) 12.6381 10.5670i 0.470995 0.393810i
\(721\) 22.0997 53.3534i 0.823035 1.98698i
\(722\) 14.1151 21.2298i 0.525310 0.790093i
\(723\) 1.97399 + 2.40532i 0.0734135 + 0.0894547i
\(724\) 9.17117 30.7394i 0.340844 1.14242i
\(725\) 15.5569 51.2844i 0.577770 1.90465i
\(726\) −7.14945 5.84006i −0.265341 0.216745i
\(727\) 20.9306 + 4.16335i 0.776272 + 0.154410i 0.567300 0.823511i \(-0.307988\pi\)
0.208973 + 0.977921i \(0.432988\pi\)
\(728\) −24.4622 7.23740i −0.906630 0.268236i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 34.9548 10.6909i 1.29373 0.395687i
\(731\) −4.19837 + 5.11573i −0.155282 + 0.189212i
\(732\) 0.199015 1.02503i 0.00735580 0.0378861i
\(733\) 12.9606 + 6.92760i 0.478712 + 0.255877i 0.693059 0.720881i \(-0.256263\pi\)
−0.214348 + 0.976757i \(0.568763\pi\)
\(734\) −8.74011 8.70017i −0.322603 0.321129i
\(735\) 34.2262 + 34.2262i 1.26245 + 1.26245i
\(736\) 29.9356 + 19.5103i 1.10344 + 0.719158i
\(737\) −7.72752 + 7.72752i −0.284647 + 0.284647i
\(738\) −15.6273 + 0.0357861i −0.575250 + 0.00131731i
\(739\) 12.1020 22.6412i 0.445178 0.832870i −0.554821 0.831969i \(-0.687213\pi\)
1.00000 0.000900240i \(-0.000286555\pi\)
\(740\) 13.1833 + 64.7263i 0.484629 + 2.37939i
\(741\) −1.58814 1.30335i −0.0583418 0.0478798i
\(742\) −6.54332 3.47824i −0.240213 0.127690i
\(743\) 15.4970 3.08254i 0.568529 0.113088i 0.0975482 0.995231i \(-0.468900\pi\)
0.470981 + 0.882143i \(0.343900\pi\)
\(744\) −0.115411 + 1.26050i −0.00423116 + 0.0462122i
\(745\) −1.04792 + 5.26826i −0.0383929 + 0.193014i
\(746\) 41.7960 4.21321i 1.53026 0.154256i
\(747\) 15.6561 + 4.74923i 0.572827 + 0.173765i
\(748\) 14.6514 + 11.9122i 0.535708 + 0.435554i
\(749\) 21.7518 17.8512i 0.794792 0.652269i
\(750\) −39.7489 + 8.00122i −1.45143 + 0.292163i
\(751\) −19.1001 7.91154i −0.696974 0.288696i 0.00592843 0.999982i \(-0.498113\pi\)
−0.702902 + 0.711286i \(0.748113\pi\)
\(752\) 17.0002 + 6.85995i 0.619932 + 0.250157i
\(753\) 15.4098 6.38296i 0.561566 0.232608i
\(754\) 10.9559 7.35685i 0.398991 0.267921i
\(755\) 37.4291 + 3.68645i 1.36219 + 0.134164i
\(756\) −7.65685 4.04769i −0.278477 0.147213i
\(757\) −17.6161 + 9.41601i −0.640269 + 0.342231i −0.759377 0.650651i \(-0.774496\pi\)
0.119109 + 0.992881i \(0.461996\pi\)
\(758\) 5.21700 17.3410i 0.189490 0.629854i
\(759\) −21.9884 + 14.6922i −0.798127 + 0.533292i
\(760\) −4.32422 + 10.6459i −0.156856 + 0.386166i
\(761\) 10.4636 15.6599i 0.379306 0.567671i −0.591871 0.806033i \(-0.701610\pi\)
0.971176 + 0.238362i \(0.0766103\pi\)
\(762\) 2.60861 27.1223i 0.0945001 0.982536i
\(763\) 0.346083 + 3.51384i 0.0125291 + 0.127210i
\(764\) 5.82897 5.88261i 0.210885 0.212825i
\(765\) −2.69608 8.88780i −0.0974771 0.321339i
\(766\) 5.12907 + 2.11078i 0.185321 + 0.0762657i
\(767\) 8.35020 0.301508
\(768\) −4.92425 15.2234i −0.177689 0.549327i
\(769\) −13.1396 −0.473826 −0.236913 0.971531i \(-0.576136\pi\)
−0.236913 + 0.971531i \(0.576136\pi\)
\(770\) −97.6491 40.1859i −3.51903 1.44820i
\(771\) −8.82147 29.0805i −0.317697 1.04731i
\(772\) 13.7967 13.9237i 0.496554 0.501123i
\(773\) −2.20545 22.3923i −0.0793246 0.805396i −0.949732 0.313064i \(-0.898645\pi\)