Properties

Label 384.2.v.a.157.32
Level $384$
Weight $2$
Character 384.157
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 157.32
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.32

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41167 - 0.0847019i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(1.98565 - 0.239143i) q^{4} +(1.11591 - 0.596466i) q^{5} +(-0.0540742 + 1.41318i) q^{6} +(-0.322650 - 1.62207i) q^{7} +(2.78284 - 0.505781i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(1.41167 - 0.0847019i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(1.98565 - 0.239143i) q^{4} +(1.11591 - 0.596466i) q^{5} +(-0.0540742 + 1.41318i) q^{6} +(-0.322650 - 1.62207i) q^{7} +(2.78284 - 0.505781i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(1.52478 - 0.936535i) q^{10} +(2.19437 - 2.67384i) q^{11} +(0.0433638 + 1.99953i) q^{12} +(-1.37633 + 2.57494i) q^{13} +(-0.592870 - 2.26251i) q^{14} +(0.484215 + 1.16900i) q^{15} +(3.88562 - 0.949710i) q^{16} +(-1.55074 + 3.74381i) q^{17} +(-1.40107 - 0.192330i) q^{18} +(0.0648022 + 0.213624i) q^{19} +(2.07316 - 1.45123i) q^{20} +(1.64589 - 0.162106i) q^{21} +(2.87125 - 3.96046i) q^{22} +(-3.78613 + 2.52981i) q^{23} +(0.230580 + 2.81901i) q^{24} +(-1.88837 + 2.82615i) q^{25} +(-1.72483 + 3.75155i) q^{26} +(0.290285 - 0.956940i) q^{27} +(-1.02858 - 3.14371i) q^{28} +(-3.94961 + 3.24136i) q^{29} +(0.782571 + 1.60923i) q^{30} +(5.85792 - 5.85792i) q^{31} +(5.40479 - 1.66980i) q^{32} +(2.44588 + 2.44588i) q^{33} +(-1.87203 + 5.41639i) q^{34} +(-1.32756 - 1.61764i) q^{35} +(-1.99415 - 0.152833i) q^{36} +(-11.2249 - 3.40505i) q^{37} +(0.109574 + 0.296079i) q^{38} +(-2.42763 - 1.62209i) q^{39} +(2.80371 - 2.22427i) q^{40} +(2.04941 + 3.06716i) q^{41} +(2.30973 - 0.368251i) q^{42} +(-0.519546 - 5.27504i) q^{43} +(3.71781 - 5.83408i) q^{44} +(-1.21083 + 0.367302i) q^{45} +(-5.13050 + 3.89196i) q^{46} +(-2.35364 - 0.974910i) q^{47} +(0.564279 + 3.96000i) q^{48} +(3.94014 - 1.63206i) q^{49} +(-2.42638 + 4.14955i) q^{50} +(-3.57378 - 1.91023i) q^{51} +(-2.11714 + 5.44207i) q^{52} +(-2.49585 - 2.04829i) q^{53} +(0.328733 - 1.37548i) q^{54} +(0.853857 - 4.29263i) q^{55} +(-1.71830 - 4.35078i) q^{56} +(-0.218947 + 0.0435513i) q^{57} +(-5.30101 + 4.91028i) q^{58} +(3.50455 + 6.55655i) q^{59} +(1.24104 + 2.20543i) q^{60} +(2.87865 + 0.283522i) q^{61} +(7.77330 - 8.76565i) q^{62} +1.65385i q^{63} +(7.48837 - 2.81501i) q^{64} +3.69433i q^{65} +(3.65996 + 3.24562i) q^{66} +(-9.85831 - 0.970958i) q^{67} +(-2.18391 + 7.80474i) q^{68} +(-2.14652 - 4.01586i) q^{69} +(-2.01110 - 2.17113i) q^{70} +(-5.76433 + 1.14660i) q^{71} +(-2.82804 - 0.0468422i) q^{72} +(1.76363 - 8.86634i) q^{73} +(-16.1344 - 3.85604i) q^{74} +(-2.62744 - 2.15629i) q^{75} +(0.179761 + 0.408686i) q^{76} +(-5.04518 - 2.69670i) q^{77} +(-3.56442 - 2.08424i) q^{78} +(-3.18689 + 1.32005i) q^{79} +(3.76953 - 3.37743i) q^{80} +(0.923880 + 0.382683i) q^{81} +(3.15289 + 4.15624i) q^{82} +(-2.47435 + 0.750586i) q^{83} +(3.22939 - 0.715488i) q^{84} +(0.502573 + 5.10271i) q^{85} +(-1.18024 - 7.40263i) q^{86} +(-2.83862 - 4.24830i) q^{87} +(4.75418 - 8.55074i) q^{88} +(5.57553 + 3.72545i) q^{89} +(-1.67819 + 0.621070i) q^{90} +(4.62081 + 1.40171i) q^{91} +(-6.91295 + 5.92875i) q^{92} +(5.25554 + 6.40389i) q^{93} +(-3.40515 - 1.17690i) q^{94} +(0.199733 + 0.199733i) q^{95} +(1.13200 + 5.54243i) q^{96} +(-8.49241 + 8.49241i) q^{97} +(5.42396 - 2.63767i) q^{98} +(-2.67384 + 2.19437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41167 0.0847019i 0.998205 0.0598933i
\(3\) −0.0980171 + 0.995185i −0.0565902 + 0.574570i
\(4\) 1.98565 0.239143i 0.992826 0.119572i
\(5\) 1.11591 0.596466i 0.499050 0.266748i −0.202610 0.979259i \(-0.564943\pi\)
0.701660 + 0.712512i \(0.252443\pi\)
\(6\) −0.0540742 + 1.41318i −0.0220757 + 0.576928i
\(7\) −0.322650 1.62207i −0.121950 0.613086i −0.992625 0.121226i \(-0.961317\pi\)
0.870675 0.491860i \(-0.163683\pi\)
\(8\) 2.78284 0.505781i 0.983882 0.178821i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) 1.52478 0.936535i 0.482177 0.296158i
\(11\) 2.19437 2.67384i 0.661626 0.806194i −0.328776 0.944408i \(-0.606636\pi\)
0.990402 + 0.138214i \(0.0441362\pi\)
\(12\) 0.0433638 + 1.99953i 0.0125181 + 0.577215i
\(13\) −1.37633 + 2.57494i −0.381726 + 0.714159i −0.997262 0.0739497i \(-0.976440\pi\)
0.615536 + 0.788109i \(0.288940\pi\)
\(14\) −0.592870 2.26251i −0.158451 0.604681i
\(15\) 0.484215 + 1.16900i 0.125024 + 0.301834i
\(16\) 3.88562 0.949710i 0.971405 0.237427i
\(17\) −1.55074 + 3.74381i −0.376109 + 0.908007i 0.616579 + 0.787293i \(0.288518\pi\)
−0.992687 + 0.120713i \(0.961482\pi\)
\(18\) −1.40107 0.192330i −0.330236 0.0453325i
\(19\) 0.0648022 + 0.213624i 0.0148666 + 0.0490088i 0.964060 0.265685i \(-0.0855981\pi\)
−0.949193 + 0.314694i \(0.898098\pi\)
\(20\) 2.07316 1.45123i 0.463574 0.324506i
\(21\) 1.64589 0.162106i 0.359162 0.0353744i
\(22\) 2.87125 3.96046i 0.612153 0.844373i
\(23\) −3.78613 + 2.52981i −0.789463 + 0.527502i −0.883703 0.468047i \(-0.844958\pi\)
0.0942407 + 0.995549i \(0.469958\pi\)
\(24\) 0.230580 + 2.81901i 0.0470669 + 0.575429i
\(25\) −1.88837 + 2.82615i −0.377674 + 0.565229i
\(26\) −1.72483 + 3.75155i −0.338267 + 0.735740i
\(27\) 0.290285 0.956940i 0.0558653 0.184163i
\(28\) −1.02858 3.14371i −0.194383 0.594106i
\(29\) −3.94961 + 3.24136i −0.733423 + 0.601905i −0.925176 0.379538i \(-0.876083\pi\)
0.191753 + 0.981443i \(0.438583\pi\)
\(30\) 0.782571 + 1.60923i 0.142877 + 0.293804i
\(31\) 5.85792 5.85792i 1.05211 1.05211i 0.0535482 0.998565i \(-0.482947\pi\)
0.998565 0.0535482i \(-0.0170531\pi\)
\(32\) 5.40479 1.66980i 0.955441 0.295182i
\(33\) 2.44588 + 2.44588i 0.425773 + 0.425773i
\(34\) −1.87203 + 5.41639i −0.321050 + 0.928903i
\(35\) −1.32756 1.61764i −0.224398 0.273430i
\(36\) −1.99415 0.152833i −0.332359 0.0254722i
\(37\) −11.2249 3.40505i −1.84537 0.559786i −0.999658 0.0261430i \(-0.991677\pi\)
−0.845710 0.533643i \(-0.820823\pi\)
\(38\) 0.109574 + 0.296079i 0.0177753 + 0.0480304i
\(39\) −2.42763 1.62209i −0.388733 0.259743i
\(40\) 2.80371 2.22427i 0.443306 0.351688i
\(41\) 2.04941 + 3.06716i 0.320064 + 0.479009i 0.956260 0.292518i \(-0.0944931\pi\)
−0.636196 + 0.771527i \(0.719493\pi\)
\(42\) 2.30973 0.368251i 0.356399 0.0568223i
\(43\) −0.519546 5.27504i −0.0792300 0.804435i −0.949897 0.312563i \(-0.898813\pi\)
0.870667 0.491873i \(-0.163687\pi\)
\(44\) 3.71781 5.83408i 0.560481 0.879521i
\(45\) −1.21083 + 0.367302i −0.180500 + 0.0547541i
\(46\) −5.13050 + 3.89196i −0.756452 + 0.573839i
\(47\) −2.35364 0.974910i −0.343314 0.142205i 0.204363 0.978895i \(-0.434488\pi\)
−0.547677 + 0.836690i \(0.684488\pi\)
\(48\) 0.564279 + 3.96000i 0.0814467 + 0.571577i
\(49\) 3.94014 1.63206i 0.562877 0.233151i
\(50\) −2.42638 + 4.14955i −0.343143 + 0.586835i
\(51\) −3.57378 1.91023i −0.500430 0.267485i
\(52\) −2.11714 + 5.44207i −0.293594 + 0.754679i
\(53\) −2.49585 2.04829i −0.342831 0.281354i 0.447183 0.894442i \(-0.352427\pi\)
−0.790015 + 0.613088i \(0.789927\pi\)
\(54\) 0.328733 1.37548i 0.0447349 0.187179i
\(55\) 0.853857 4.29263i 0.115134 0.578818i
\(56\) −1.71830 4.35078i −0.229617 0.581397i
\(57\) −0.218947 + 0.0435513i −0.0290003 + 0.00576852i
\(58\) −5.30101 + 4.91028i −0.696057 + 0.644752i
\(59\) 3.50455 + 6.55655i 0.456253 + 0.853590i 0.999898 + 0.0142743i \(0.00454382\pi\)
−0.543645 + 0.839315i \(0.682956\pi\)
\(60\) 1.24104 + 2.20543i 0.160218 + 0.284720i
\(61\) 2.87865 + 0.283522i 0.368573 + 0.0363013i 0.280609 0.959822i \(-0.409464\pi\)
0.0879648 + 0.996124i \(0.471964\pi\)
\(62\) 7.77330 8.76565i 0.987210 1.11324i
\(63\) 1.65385i 0.208366i
\(64\) 7.48837 2.81501i 0.936046 0.351877i
\(65\) 3.69433i 0.458225i
\(66\) 3.65996 + 3.24562i 0.450510 + 0.399508i
\(67\) −9.85831 0.970958i −1.20438 0.118621i −0.524156 0.851622i \(-0.675619\pi\)
−0.680228 + 0.733001i \(0.738119\pi\)
\(68\) −2.18391 + 7.80474i −0.264839 + 0.946464i
\(69\) −2.14652 4.01586i −0.258411 0.483453i
\(70\) −2.01110 2.17113i −0.240372 0.259499i
\(71\) −5.76433 + 1.14660i −0.684100 + 0.136076i −0.524892 0.851169i \(-0.675894\pi\)
−0.159208 + 0.987245i \(0.550894\pi\)
\(72\) −2.82804 0.0468422i −0.333288 0.00552041i
\(73\) 1.76363 8.86634i 0.206417 1.03773i −0.729090 0.684418i \(-0.760056\pi\)
0.935507 0.353309i \(-0.114944\pi\)
\(74\) −16.1344 3.85604i −1.87558 0.448256i
\(75\) −2.62744 2.15629i −0.303391 0.248987i
\(76\) 0.179761 + 0.408686i 0.0206200 + 0.0468795i
\(77\) −5.04518 2.69670i −0.574952 0.307318i
\(78\) −3.56442 2.08424i −0.403592 0.235994i
\(79\) −3.18689 + 1.32005i −0.358554 + 0.148518i −0.554686 0.832060i \(-0.687162\pi\)
0.196133 + 0.980577i \(0.437162\pi\)
\(80\) 3.76953 3.37743i 0.421446 0.377608i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) 3.15289 + 4.15624i 0.348179 + 0.458980i
\(83\) −2.47435 + 0.750586i −0.271595 + 0.0823875i −0.423144 0.906062i \(-0.639074\pi\)
0.151549 + 0.988450i \(0.451574\pi\)
\(84\) 3.22939 0.715488i 0.352356 0.0780662i
\(85\) 0.502573 + 5.10271i 0.0545117 + 0.553466i
\(86\) −1.18024 7.40263i −0.127268 0.798246i
\(87\) −2.83862 4.24830i −0.304332 0.455465i
\(88\) 4.75418 8.55074i 0.506798 0.911511i
\(89\) 5.57553 + 3.72545i 0.591005 + 0.394897i 0.814803 0.579739i \(-0.196845\pi\)
−0.223797 + 0.974636i \(0.571845\pi\)
\(90\) −1.67819 + 0.621070i −0.176897 + 0.0654666i
\(91\) 4.62081 + 1.40171i 0.484393 + 0.146939i
\(92\) −6.91295 + 5.92875i −0.720724 + 0.618115i
\(93\) 5.25554 + 6.40389i 0.544974 + 0.664052i
\(94\) −3.40515 1.17690i −0.351215 0.121388i
\(95\) 0.199733 + 0.199733i 0.0204922 + 0.0204922i
\(96\) 1.13200 + 5.54243i 0.115534 + 0.565672i
\(97\) −8.49241 + 8.49241i −0.862273 + 0.862273i −0.991602 0.129328i \(-0.958718\pi\)
0.129328 + 0.991602i \(0.458718\pi\)
\(98\) 5.42396 2.63767i 0.547902 0.266445i
\(99\) −2.67384 + 2.19437i −0.268731 + 0.220542i
\(100\) −3.07379 + 6.06333i −0.307379 + 0.606333i
\(101\) −0.319260 + 1.05246i −0.0317676 + 0.104724i −0.971390 0.237488i \(-0.923676\pi\)
0.939623 + 0.342212i \(0.111176\pi\)
\(102\) −5.20682 2.39391i −0.515552 0.237033i
\(103\) 10.7916 16.1508i 1.06333 1.59138i 0.290382 0.956911i \(-0.406218\pi\)
0.772946 0.634472i \(-0.218782\pi\)
\(104\) −2.52776 + 7.86176i −0.247867 + 0.770909i
\(105\) 1.73997 1.16261i 0.169804 0.113459i
\(106\) −3.69682 2.68012i −0.359067 0.260316i
\(107\) −7.59750 + 0.748289i −0.734479 + 0.0723398i −0.458339 0.888778i \(-0.651555\pi\)
−0.276140 + 0.961117i \(0.589055\pi\)
\(108\) 0.347558 1.96957i 0.0334438 0.189522i
\(109\) −2.77922 9.16187i −0.266201 0.877548i −0.983519 0.180802i \(-0.942131\pi\)
0.717318 0.696746i \(-0.245369\pi\)
\(110\) 0.841774 6.13212i 0.0802600 0.584674i
\(111\) 4.48889 10.8371i 0.426066 1.02861i
\(112\) −2.79420 5.99634i −0.264027 0.566601i
\(113\) 6.51206 + 15.7215i 0.612603 + 1.47896i 0.860130 + 0.510074i \(0.170382\pi\)
−0.247527 + 0.968881i \(0.579618\pi\)
\(114\) −0.305394 + 0.0800256i −0.0286027 + 0.00749508i
\(115\) −2.71603 + 5.08133i −0.253271 + 0.473837i
\(116\) −7.06739 + 7.38073i −0.656191 + 0.685283i
\(117\) 1.85223 2.25695i 0.171239 0.208655i
\(118\) 5.50263 + 8.95887i 0.506558 + 0.824731i
\(119\) 6.57307 + 1.30747i 0.602553 + 0.119855i
\(120\) 1.93875 + 3.00823i 0.176983 + 0.274612i
\(121\) −0.188197 0.946132i −0.0171088 0.0860120i
\(122\) 4.08773 + 0.156414i 0.370086 + 0.0141611i
\(123\) −3.25326 + 1.73891i −0.293337 + 0.156792i
\(124\) 10.2309 13.0327i 0.918762 1.17037i
\(125\) −1.04166 + 10.5762i −0.0931692 + 0.945963i
\(126\) 0.140084 + 2.33470i 0.0124797 + 0.207992i
\(127\) 12.8451 1.13982 0.569909 0.821708i \(-0.306978\pi\)
0.569909 + 0.821708i \(0.306978\pi\)
\(128\) 10.3327 4.60816i 0.913291 0.407308i
\(129\) 5.30056 0.466688
\(130\) 0.312917 + 5.21519i 0.0274446 + 0.457403i
\(131\) −1.02431 + 10.4000i −0.0894947 + 0.908655i 0.840679 + 0.541534i \(0.182156\pi\)
−0.930173 + 0.367120i \(0.880344\pi\)
\(132\) 5.44158 + 4.27175i 0.473629 + 0.371808i
\(133\) 0.325606 0.174040i 0.0282336 0.0150912i
\(134\) −13.9990 0.535660i −1.20933 0.0462740i
\(135\) −0.246851 1.24100i −0.0212455 0.106809i
\(136\) −2.42190 + 11.2027i −0.207676 + 0.960627i
\(137\) 19.5291 + 3.88459i 1.66849 + 0.331883i 0.936828 0.349789i \(-0.113747\pi\)
0.731658 + 0.681672i \(0.238747\pi\)
\(138\) −3.37034 5.48728i −0.286903 0.467108i
\(139\) −0.183178 + 0.223203i −0.0155370 + 0.0189318i −0.780721 0.624880i \(-0.785148\pi\)
0.765184 + 0.643812i \(0.222648\pi\)
\(140\) −3.02292 2.89458i −0.255483 0.244637i
\(141\) 1.20091 2.24675i 0.101135 0.189211i
\(142\) −8.04024 + 2.10687i −0.674722 + 0.176805i
\(143\) 3.86480 + 9.33045i 0.323191 + 0.780251i
\(144\) −3.99624 + 0.173414i −0.333020 + 0.0144512i
\(145\) −2.47404 + 5.97286i −0.205458 + 0.496019i
\(146\) 1.73867 12.6658i 0.143893 1.04823i
\(147\) 1.23800 + 4.08114i 0.102108 + 0.336606i
\(148\) −23.1031 4.07687i −1.89906 0.335117i
\(149\) −3.88769 + 0.382904i −0.318492 + 0.0313687i −0.256000 0.966677i \(-0.582405\pi\)
−0.0624917 + 0.998045i \(0.519905\pi\)
\(150\) −3.89174 2.82143i −0.317759 0.230369i
\(151\) 6.04299 4.03780i 0.491772 0.328591i −0.284835 0.958576i \(-0.591939\pi\)
0.776607 + 0.629985i \(0.216939\pi\)
\(152\) 0.288381 + 0.561706i 0.0233908 + 0.0455604i
\(153\) 2.25132 3.36934i 0.182008 0.272395i
\(154\) −7.35057 3.37953i −0.592326 0.272331i
\(155\) 3.04286 10.0310i 0.244408 0.805705i
\(156\) −5.20835 2.64036i −0.417002 0.211398i
\(157\) 11.8729 9.74385i 0.947562 0.777644i −0.0274896 0.999622i \(-0.508751\pi\)
0.975052 + 0.221978i \(0.0712513\pi\)
\(158\) −4.38705 + 2.13342i −0.349015 + 0.169726i
\(159\) 2.28306 2.28306i 0.181059 0.181059i
\(160\) 5.03527 5.08712i 0.398073 0.402172i
\(161\) 5.32513 + 5.32513i 0.419679 + 0.419679i
\(162\) 1.33663 + 0.461970i 0.105016 + 0.0362958i
\(163\) 4.43324 + 5.40192i 0.347238 + 0.423111i 0.917117 0.398618i \(-0.130510\pi\)
−0.569879 + 0.821729i \(0.693010\pi\)
\(164\) 4.80290 + 5.60020i 0.375043 + 0.437302i
\(165\) 4.18826 + 1.27050i 0.326056 + 0.0989080i
\(166\) −3.42940 + 1.26916i −0.266173 + 0.0985063i
\(167\) −1.92266 1.28468i −0.148780 0.0994117i 0.478952 0.877841i \(-0.341017\pi\)
−0.627732 + 0.778429i \(0.716017\pi\)
\(168\) 4.49825 1.28357i 0.347047 0.0990298i
\(169\) 2.48640 + 3.72116i 0.191262 + 0.286243i
\(170\) 1.14168 + 7.16080i 0.0875628 + 0.549208i
\(171\) −0.0218810 0.222162i −0.00167328 0.0169891i
\(172\) −2.29313 10.3501i −0.174849 0.789190i
\(173\) 10.0879 3.06013i 0.766968 0.232657i 0.117528 0.993070i \(-0.462503\pi\)
0.649440 + 0.760412i \(0.275003\pi\)
\(174\) −4.36705 5.75677i −0.331065 0.436420i
\(175\) 5.19350 + 2.15122i 0.392592 + 0.162617i
\(176\) 5.98710 12.4735i 0.451294 0.940229i
\(177\) −6.86848 + 2.84502i −0.516267 + 0.213845i
\(178\) 8.18639 + 4.78687i 0.613596 + 0.358791i
\(179\) −14.8566 7.94104i −1.11044 0.593541i −0.188965 0.981984i \(-0.560513\pi\)
−0.921473 + 0.388442i \(0.873013\pi\)
\(180\) −2.31645 + 1.01890i −0.172658 + 0.0759440i
\(181\) −8.95514 7.34929i −0.665630 0.546268i 0.239769 0.970830i \(-0.422928\pi\)
−0.905399 + 0.424562i \(0.860428\pi\)
\(182\) 6.64181 + 1.58736i 0.492324 + 0.117663i
\(183\) −0.564314 + 2.83700i −0.0417153 + 0.209717i
\(184\) −9.25665 + 8.95501i −0.682410 + 0.660172i
\(185\) −14.5570 + 2.89557i −1.07025 + 0.212886i
\(186\) 7.96153 + 8.59505i 0.583768 + 0.630220i
\(187\) 6.60747 + 12.3617i 0.483186 + 0.903977i
\(188\) −4.90666 1.37297i −0.357855 0.100134i
\(189\) −1.64589 0.162106i −0.119721 0.0117915i
\(190\) 0.298876 + 0.265040i 0.0216827 + 0.0192280i
\(191\) 16.4488i 1.19019i −0.803654 0.595096i \(-0.797114\pi\)
0.803654 0.595096i \(-0.202886\pi\)
\(192\) 2.06747 + 7.72823i 0.149207 + 0.557737i
\(193\) 9.52497i 0.685622i −0.939404 0.342811i \(-0.888621\pi\)
0.939404 0.342811i \(-0.111379\pi\)
\(194\) −11.2692 + 12.7078i −0.809081 + 0.912370i
\(195\) −3.67654 0.362108i −0.263283 0.0259311i
\(196\) 7.43345 4.18296i 0.530960 0.298783i
\(197\) −1.12756 2.10952i −0.0803353 0.150297i 0.838546 0.544831i \(-0.183406\pi\)
−0.918881 + 0.394534i \(0.870906\pi\)
\(198\) −3.58873 + 3.32421i −0.255040 + 0.236241i
\(199\) 1.44709 0.287844i 0.102581 0.0204047i −0.143533 0.989646i \(-0.545846\pi\)
0.246114 + 0.969241i \(0.420846\pi\)
\(200\) −3.82562 + 8.81981i −0.270512 + 0.623654i
\(201\) 1.93257 9.71567i 0.136313 0.685290i
\(202\) −0.361546 + 1.51277i −0.0254383 + 0.106438i
\(203\) 6.53206 + 5.36072i 0.458461 + 0.376249i
\(204\) −7.55310 2.93840i −0.528823 0.205729i
\(205\) 4.11641 + 2.20027i 0.287502 + 0.153673i
\(206\) 13.8662 23.7137i 0.966106 1.65221i
\(207\) 4.20692 1.74256i 0.292401 0.121117i
\(208\) −2.90246 + 11.3123i −0.201250 + 0.784370i
\(209\) 0.713397 + 0.295499i 0.0493467 + 0.0204401i
\(210\) 2.35780 1.78861i 0.162703 0.123426i
\(211\) 19.6349 5.95619i 1.35172 0.410041i 0.470358 0.882476i \(-0.344125\pi\)
0.881366 + 0.472435i \(0.156625\pi\)
\(212\) −5.44572 3.47033i −0.374014 0.238343i
\(213\) −0.576072 5.84896i −0.0394718 0.400764i
\(214\) −10.6618 + 1.69986i −0.728827 + 0.116200i
\(215\) −3.72614 5.57657i −0.254121 0.380319i
\(216\) 0.323813 2.80983i 0.0220327 0.191185i
\(217\) −11.3920 7.61191i −0.773342 0.516730i
\(218\) −4.69939 12.6982i −0.318283 0.860029i
\(219\) 8.65078 + 2.62419i 0.584566 + 0.177326i
\(220\) 0.668909 8.72785i 0.0450978 0.588432i
\(221\) −7.50574 9.14577i −0.504891 0.615211i
\(222\) 5.41892 15.6787i 0.363694 1.05229i
\(223\) 0.898803 + 0.898803i 0.0601883 + 0.0601883i 0.736560 0.676372i \(-0.236449\pi\)
−0.676372 + 0.736560i \(0.736449\pi\)
\(224\) −4.45240 8.22820i −0.297488 0.549770i
\(225\) 2.40344 2.40344i 0.160229 0.160229i
\(226\) 10.5246 + 21.6421i 0.700083 + 1.43961i
\(227\) −14.1433 + 11.6071i −0.938723 + 0.770390i −0.973425 0.229007i \(-0.926452\pi\)
0.0347015 + 0.999398i \(0.488952\pi\)
\(228\) −0.424338 + 0.138838i −0.0281025 + 0.00919474i
\(229\) −4.36652 + 14.3945i −0.288548 + 0.951215i 0.686107 + 0.727501i \(0.259318\pi\)
−0.974655 + 0.223714i \(0.928182\pi\)
\(230\) −3.40375 + 7.40325i −0.224437 + 0.488156i
\(231\) 3.17823 4.75656i 0.209112 0.312959i
\(232\) −9.35169 + 11.0178i −0.613969 + 0.723354i
\(233\) 11.9924 8.01305i 0.785647 0.524952i −0.0968342 0.995301i \(-0.530872\pi\)
0.882481 + 0.470348i \(0.155872\pi\)
\(234\) 2.42358 3.34297i 0.158434 0.218537i
\(235\) −3.20795 + 0.315956i −0.209264 + 0.0206107i
\(236\) 8.52676 + 12.1809i 0.555045 + 0.792911i
\(237\) −1.00133 3.30094i −0.0650432 0.214419i
\(238\) 9.38979 + 1.28896i 0.608650 + 0.0835511i
\(239\) −6.20240 + 14.9739i −0.401200 + 0.968583i 0.586175 + 0.810184i \(0.300633\pi\)
−0.987375 + 0.158398i \(0.949367\pi\)
\(240\) 2.99169 + 4.08242i 0.193113 + 0.263519i
\(241\) 2.06308 + 4.98071i 0.132895 + 0.320836i 0.976293 0.216453i \(-0.0694487\pi\)
−0.843399 + 0.537288i \(0.819449\pi\)
\(242\) −0.345813 1.31969i −0.0222297 0.0848329i
\(243\) −0.471397 + 0.881921i −0.0302401 + 0.0565753i
\(244\) 5.78380 0.125433i 0.370270 0.00803004i
\(245\) 3.42337 4.17139i 0.218711 0.266500i
\(246\) −4.44526 + 2.73033i −0.283420 + 0.174079i
\(247\) −0.639259 0.127156i −0.0406751 0.00809077i
\(248\) 13.3388 19.2645i 0.847016 1.22329i
\(249\) −0.504443 2.53600i −0.0319678 0.160713i
\(250\) −0.574666 + 15.0184i −0.0363451 + 0.949845i
\(251\) 27.7490 14.8322i 1.75150 0.936198i 0.820090 0.572234i \(-0.193923\pi\)
0.931413 0.363964i \(-0.118577\pi\)
\(252\) 0.395507 + 3.28397i 0.0249146 + 0.206871i
\(253\) −1.54384 + 15.6748i −0.0970602 + 0.985469i
\(254\) 18.1331 1.08800i 1.13777 0.0682675i
\(255\) −5.12740 −0.321090
\(256\) 14.1961 7.38043i 0.887256 0.461277i
\(257\) 23.2528 1.45047 0.725235 0.688501i \(-0.241731\pi\)
0.725235 + 0.688501i \(0.241731\pi\)
\(258\) 7.48267 0.448968i 0.465850 0.0279515i
\(259\) −1.90150 + 19.3063i −0.118154 + 1.19964i
\(260\) 0.883474 + 7.33565i 0.0547907 + 0.454938i
\(261\) 4.50607 2.40855i 0.278919 0.149085i
\(262\) −0.565095 + 14.7682i −0.0349117 + 0.912384i
\(263\) 1.37401 + 6.90760i 0.0847249 + 0.425941i 0.999746 + 0.0225350i \(0.00717371\pi\)
−0.915021 + 0.403406i \(0.867826\pi\)
\(264\) 8.04357 + 5.56941i 0.495047 + 0.342773i
\(265\) −4.00688 0.797017i −0.246140 0.0489604i
\(266\) 0.444908 0.273267i 0.0272791 0.0167551i
\(267\) −4.25401 + 5.18353i −0.260341 + 0.317227i
\(268\) −19.8074 + 0.429562i −1.20993 + 0.0262397i
\(269\) 11.9852 22.4227i 0.730750 1.36714i −0.191868 0.981421i \(-0.561454\pi\)
0.922618 0.385716i \(-0.126046\pi\)
\(270\) −0.453588 1.73098i −0.0276045 0.105344i
\(271\) 11.3032 + 27.2883i 0.686620 + 1.65765i 0.751482 + 0.659754i \(0.229339\pi\)
−0.0648615 + 0.997894i \(0.520661\pi\)
\(272\) −2.47004 + 16.0198i −0.149768 + 0.971341i
\(273\) −1.84788 + 4.46117i −0.111839 + 0.270002i
\(274\) 27.8978 + 3.82962i 1.68537 + 0.231356i
\(275\) 3.41289 + 11.2508i 0.205805 + 0.678449i
\(276\) −5.22261 7.46078i −0.314364 0.449086i
\(277\) −22.7036 + 2.23611i −1.36413 + 0.134355i −0.753440 0.657517i \(-0.771607\pi\)
−0.610687 + 0.791872i \(0.709107\pi\)
\(278\) −0.239682 + 0.330606i −0.0143752 + 0.0198284i
\(279\) −6.88818 + 4.60254i −0.412385 + 0.275547i
\(280\) −4.51255 3.83016i −0.269677 0.228896i
\(281\) 11.9565 17.8941i 0.713263 1.06747i −0.280916 0.959732i \(-0.590638\pi\)
0.994179 0.107741i \(-0.0343618\pi\)
\(282\) 1.50499 3.27340i 0.0896211 0.194928i
\(283\) −2.45574 + 8.09549i −0.145979 + 0.481227i −0.999186 0.0403452i \(-0.987154\pi\)
0.853207 + 0.521572i \(0.174654\pi\)
\(284\) −11.1717 + 3.65524i −0.662921 + 0.216899i
\(285\) −0.218348 + 0.179194i −0.0129338 + 0.0106145i
\(286\) 6.24615 + 12.8442i 0.369342 + 0.759494i
\(287\) 4.31391 4.31391i 0.254642 0.254642i
\(288\) −5.62670 + 0.583294i −0.331557 + 0.0343709i
\(289\) 0.409501 + 0.409501i 0.0240883 + 0.0240883i
\(290\) −2.98663 + 8.64130i −0.175381 + 0.507434i
\(291\) −7.61911 9.28392i −0.446640 0.544233i
\(292\) 1.38162 18.0272i 0.0808531 1.05496i
\(293\) −25.9749 7.87939i −1.51747 0.460319i −0.581838 0.813304i \(-0.697666\pi\)
−0.935629 + 0.352986i \(0.885166\pi\)
\(294\) 2.09333 + 5.65638i 0.122086 + 0.329887i
\(295\) 7.82151 + 5.22617i 0.455386 + 0.304279i
\(296\) −32.9594 3.79833i −1.91573 0.220774i
\(297\) −1.92172 2.87605i −0.111509 0.166885i
\(298\) −5.45572 + 0.869830i −0.316041 + 0.0503879i
\(299\) −1.30313 13.2309i −0.0753620 0.765163i
\(300\) −5.73285 3.65330i −0.330986 0.210923i
\(301\) −8.38886 + 2.54473i −0.483526 + 0.146676i
\(302\) 8.18873 6.21191i 0.471209 0.357455i
\(303\) −1.01610 0.420882i −0.0583734 0.0241790i
\(304\) 0.454678 + 0.768520i 0.0260776 + 0.0440776i
\(305\) 3.38142 1.40063i 0.193620 0.0801999i
\(306\) 2.89274 4.94710i 0.165367 0.282807i
\(307\) −6.01774 3.21655i −0.343451 0.183578i 0.290649 0.956830i \(-0.406129\pi\)
−0.634099 + 0.773252i \(0.718629\pi\)
\(308\) −10.6629 4.14819i −0.607573 0.236365i
\(309\) 15.0152 + 12.3227i 0.854187 + 0.701013i
\(310\) 3.44588 14.4182i 0.195713 0.818897i
\(311\) 3.46431 17.4163i 0.196443 0.987586i −0.749191 0.662354i \(-0.769558\pi\)
0.945634 0.325232i \(-0.105442\pi\)
\(312\) −7.57614 3.28617i −0.428914 0.186043i
\(313\) −13.2953 + 2.64461i −0.751496 + 0.149482i −0.555954 0.831213i \(-0.687647\pi\)
−0.195543 + 0.980695i \(0.562647\pi\)
\(314\) 15.9354 14.7608i 0.899285 0.833001i
\(315\) 0.986466 + 1.84555i 0.0555810 + 0.103985i
\(316\) −6.01238 + 3.38329i −0.338223 + 0.190325i
\(317\) −1.38041 0.135959i −0.0775316 0.00763619i 0.0591770 0.998248i \(-0.481152\pi\)
−0.136709 + 0.990611i \(0.543652\pi\)
\(318\) 3.02956 3.41632i 0.169890 0.191578i
\(319\) 17.6733i 0.989517i
\(320\) 6.67728 7.60785i 0.373271 0.425292i
\(321\) 7.63427i 0.426103i
\(322\) 7.96841 + 7.06631i 0.444062 + 0.393790i
\(323\) −0.900259 0.0886678i −0.0500918 0.00493361i
\(324\) 1.92602 + 0.538936i 0.107001 + 0.0299409i
\(325\) −4.67812 8.75215i −0.259496 0.485482i
\(326\) 6.71585 + 7.25025i 0.371956 + 0.401554i
\(327\) 9.39016 1.86782i 0.519277 0.103291i
\(328\) 7.25448 + 7.49885i 0.400562 + 0.414055i
\(329\) −0.821972 + 4.13233i −0.0453168 + 0.227823i
\(330\) 6.02008 + 1.43877i 0.331395 + 0.0792018i
\(331\) −10.2837 8.43963i −0.565244 0.463884i 0.307850 0.951435i \(-0.400390\pi\)
−0.873095 + 0.487551i \(0.837890\pi\)
\(332\) −4.73370 + 2.08212i −0.259795 + 0.114271i
\(333\) 10.3450 + 5.52950i 0.566900 + 0.303015i
\(334\) −2.82299 1.65070i −0.154467 0.0903223i
\(335\) −11.5801 + 4.79664i −0.632689 + 0.262068i
\(336\) 6.24134 2.19300i 0.340493 0.119638i
\(337\) −32.0205 13.2633i −1.74427 0.722499i −0.998409 0.0563925i \(-0.982040\pi\)
−0.745857 0.666106i \(-0.767960\pi\)
\(338\) 3.82518 + 5.04247i 0.208062 + 0.274274i
\(339\) −16.2841 + 4.93973i −0.884431 + 0.268289i
\(340\) 2.21821 + 10.0120i 0.120299 + 0.542978i
\(341\) −2.80873 28.5176i −0.152102 1.54431i
\(342\) −0.0497064 0.311767i −0.00268782 0.0168584i
\(343\) −10.3504 15.4905i −0.558870 0.836408i
\(344\) −4.11382 14.4168i −0.221803 0.777301i
\(345\) −4.79065 3.20101i −0.257920 0.172337i
\(346\) 13.9816 5.17437i 0.751657 0.278176i
\(347\) 13.1383 + 3.98547i 0.705302 + 0.213951i 0.622506 0.782615i \(-0.286115\pi\)
0.0827966 + 0.996566i \(0.473615\pi\)
\(348\) −6.65246 7.75680i −0.356609 0.415808i
\(349\) 19.1243 + 23.3030i 1.02370 + 1.24738i 0.968528 + 0.248903i \(0.0800701\pi\)
0.0551701 + 0.998477i \(0.482430\pi\)
\(350\) 7.51374 + 2.59692i 0.401626 + 0.138811i
\(351\) 2.06453 + 2.06453i 0.110197 + 0.110197i
\(352\) 7.39530 18.1157i 0.394171 0.965571i
\(353\) −20.8702 + 20.8702i −1.11081 + 1.11081i −0.117765 + 0.993042i \(0.537573\pi\)
−0.993042 + 0.117765i \(0.962427\pi\)
\(354\) −9.45508 + 4.59801i −0.502532 + 0.244382i
\(355\) −5.74856 + 4.71772i −0.305102 + 0.250391i
\(356\) 11.9620 + 6.06410i 0.633984 + 0.321397i
\(357\) −1.94544 + 6.41327i −0.102964 + 0.339426i
\(358\) −21.6454 9.95178i −1.14399 0.525968i
\(359\) −7.25713 + 10.8611i −0.383017 + 0.573225i −0.972018 0.234907i \(-0.924521\pi\)
0.589001 + 0.808132i \(0.299521\pi\)
\(360\) −3.18377 + 1.63456i −0.167800 + 0.0861487i
\(361\) 15.7565 10.5281i 0.829289 0.554113i
\(362\) −13.2642 9.61629i −0.697153 0.505421i
\(363\) 0.960022 0.0945540i 0.0503881 0.00496280i
\(364\) 9.51053 + 1.67827i 0.498487 + 0.0879651i
\(365\) −3.32042 10.9460i −0.173799 0.572938i
\(366\) −0.556329 + 4.05272i −0.0290798 + 0.211839i
\(367\) 0.0242433 0.0585285i 0.00126549 0.00305517i −0.923246 0.384210i \(-0.874474\pi\)
0.924511 + 0.381155i \(0.124474\pi\)
\(368\) −12.3089 + 13.4256i −0.641645 + 0.699858i
\(369\) −1.41166 3.40804i −0.0734879 0.177416i
\(370\) −20.3045 + 5.32060i −1.05558 + 0.276605i
\(371\) −2.51719 + 4.70933i −0.130686 + 0.244496i
\(372\) 11.9671 + 11.4591i 0.620466 + 0.594125i
\(373\) 6.36888 7.76050i 0.329768 0.401824i −0.581561 0.813503i \(-0.697558\pi\)
0.911329 + 0.411680i \(0.135058\pi\)
\(374\) 10.3747 + 16.8910i 0.536461 + 0.873415i
\(375\) −10.4232 2.07329i −0.538249 0.107064i
\(376\) −7.04289 1.52259i −0.363210 0.0785216i
\(377\) −2.91032 14.6312i −0.149889 0.753544i
\(378\) −2.33719 0.0894307i −0.120212 0.00459982i
\(379\) −14.9318 + 7.98124i −0.766998 + 0.409969i −0.807994 0.589191i \(-0.799447\pi\)
0.0409966 + 0.999159i \(0.486947\pi\)
\(380\) 0.444365 + 0.348835i 0.0227954 + 0.0178949i
\(381\) −1.25904 + 12.7832i −0.0645026 + 0.654905i
\(382\) −1.39324 23.2203i −0.0712846 1.18806i
\(383\) −22.3931 −1.14423 −0.572117 0.820172i \(-0.693878\pi\)
−0.572117 + 0.820172i \(0.693878\pi\)
\(384\) 3.57319 + 10.7346i 0.182344 + 0.547799i
\(385\) −7.23845 −0.368906
\(386\) −0.806783 13.4462i −0.0410642 0.684391i
\(387\) −0.519546 + 5.27504i −0.0264100 + 0.268145i
\(388\) −14.8321 + 18.8939i −0.752984 + 0.959190i
\(389\) −9.57962 + 5.12041i −0.485706 + 0.259615i −0.696025 0.718018i \(-0.745050\pi\)
0.210319 + 0.977633i \(0.432550\pi\)
\(390\) −5.22075 0.199768i −0.264363 0.0101157i
\(391\) −3.59984 18.0976i −0.182052 0.915236i
\(392\) 10.1393 6.53460i 0.512112 0.330047i
\(393\) −10.2495 2.03876i −0.517021 0.102842i
\(394\) −1.77043 2.88244i −0.0891929 0.145215i
\(395\) −2.76892 + 3.37393i −0.139319 + 0.169761i
\(396\) −4.78455 + 4.99667i −0.240433 + 0.251092i
\(397\) 8.11460 15.1814i 0.407260 0.761930i −0.591763 0.806112i \(-0.701568\pi\)
0.999024 + 0.0441815i \(0.0140680\pi\)
\(398\) 2.01844 0.528913i 0.101175 0.0265120i
\(399\) 0.141287 + 0.341097i 0.00707319 + 0.0170762i
\(400\) −4.65347 + 12.7747i −0.232674 + 0.638737i
\(401\) −9.72203 + 23.4711i −0.485495 + 1.17209i 0.471469 + 0.881882i \(0.343724\pi\)
−0.956964 + 0.290206i \(0.906276\pi\)
\(402\) 1.90522 13.8791i 0.0950237 0.692224i
\(403\) 7.02133 + 23.1462i 0.349757 + 1.15300i
\(404\) −0.382251 + 2.16617i −0.0190177 + 0.107771i
\(405\) 1.25922 0.124023i 0.0625713 0.00616273i
\(406\) 9.67521 + 7.01432i 0.480172 + 0.348115i
\(407\) −33.7362 + 22.5418i −1.67224 + 1.11735i
\(408\) −10.9114 3.50830i −0.540195 0.173687i
\(409\) 4.94278 7.39739i 0.244405 0.365777i −0.688904 0.724853i \(-0.741908\pi\)
0.933309 + 0.359075i \(0.116908\pi\)
\(410\) 5.99739 + 2.75739i 0.296190 + 0.136178i
\(411\) −5.78007 + 19.0543i −0.285110 + 0.939881i
\(412\) 17.5660 34.6505i 0.865415 1.70711i
\(413\) 9.50445 7.80010i 0.467684 0.383818i
\(414\) 5.79121 2.81627i 0.284622 0.138412i
\(415\) −2.31345 + 2.31345i −0.113563 + 0.113563i
\(416\) −3.13916 + 16.2152i −0.153910 + 0.795016i
\(417\) −0.204174 0.204174i −0.00999842 0.00999842i
\(418\) 1.03211 + 0.356722i 0.0504824 + 0.0174478i
\(419\) −22.8993 27.9029i −1.11870 1.36315i −0.924049 0.382274i \(-0.875141\pi\)
−0.194656 0.980872i \(-0.562359\pi\)
\(420\) 3.17694 2.72464i 0.155019 0.132949i
\(421\) −20.4745 6.21087i −0.997867 0.302700i −0.251227 0.967928i \(-0.580834\pi\)
−0.746640 + 0.665229i \(0.768334\pi\)
\(422\) 27.2136 10.0713i 1.32474 0.490264i
\(423\) 2.11822 + 1.41535i 0.102991 + 0.0688167i
\(424\) −7.98153 4.43771i −0.387617 0.215514i
\(425\) −7.65218 11.4523i −0.371185 0.555518i
\(426\) −1.30864 8.20803i −0.0634040 0.397680i
\(427\) −0.468904 4.76086i −0.0226918 0.230394i
\(428\) −14.9070 + 3.30273i −0.720559 + 0.159644i
\(429\) −9.66434 + 2.93164i −0.466599 + 0.141541i
\(430\) −5.73245 7.55669i −0.276443 0.364416i
\(431\) 19.0851 + 7.90530i 0.919297 + 0.380785i 0.791608 0.611029i \(-0.209244\pi\)
0.127689 + 0.991814i \(0.459244\pi\)
\(432\) 0.219121 3.99399i 0.0105424 0.192161i
\(433\) −12.4506 + 5.15720i −0.598337 + 0.247839i −0.661233 0.750181i \(-0.729966\pi\)
0.0628960 + 0.998020i \(0.479966\pi\)
\(434\) −16.7266 9.78062i −0.802902 0.469485i
\(435\) −5.70160 3.04757i −0.273371 0.146120i
\(436\) −7.70957 17.5276i −0.369221 0.839422i
\(437\) −0.785779 0.644872i −0.0375889 0.0308484i
\(438\) 12.4344 + 2.97176i 0.594137 + 0.141996i
\(439\) −0.708069 + 3.55971i −0.0337943 + 0.169895i −0.993997 0.109409i \(-0.965104\pi\)
0.960202 + 0.279305i \(0.0901040\pi\)
\(440\) 0.205015 12.3775i 0.00977373 0.590076i
\(441\) −4.18283 + 0.832016i −0.199182 + 0.0396198i
\(442\) −11.3703 12.2751i −0.540831 0.583867i
\(443\) −1.91485 3.58243i −0.0909772 0.170206i 0.832317 0.554300i \(-0.187014\pi\)
−0.923294 + 0.384094i \(0.874514\pi\)
\(444\) 6.32174 22.5922i 0.300016 1.07218i
\(445\) 8.44389 + 0.831651i 0.400279 + 0.0394240i
\(446\) 1.34495 + 1.19269i 0.0636851 + 0.0564754i
\(447\) 3.90650i 0.184771i
\(448\) −6.98228 11.2384i −0.329882 0.530965i
\(449\) 30.7144i 1.44950i −0.689010 0.724752i \(-0.741954\pi\)
0.689010 0.724752i \(-0.258046\pi\)
\(450\) 3.18930 3.59645i 0.150345 0.169538i
\(451\) 12.6982 + 1.25067i 0.597937 + 0.0588916i
\(452\) 16.6904 + 29.6601i 0.785049 + 1.39509i
\(453\) 3.42604 + 6.40967i 0.160969 + 0.301152i
\(454\) −18.9826 + 17.5834i −0.890897 + 0.825230i
\(455\) 5.99247 1.19198i 0.280932 0.0558808i
\(456\) −0.587268 + 0.231936i −0.0275013 + 0.0108614i
\(457\) −5.80102 + 29.1637i −0.271360 + 1.36422i 0.569065 + 0.822292i \(0.307305\pi\)
−0.840425 + 0.541927i \(0.817695\pi\)
\(458\) −4.94487 + 20.6902i −0.231059 + 0.966790i
\(459\) 3.13245 + 2.57073i 0.146210 + 0.119991i
\(460\) −4.17792 + 10.7393i −0.194797 + 0.500721i
\(461\) 9.09765 + 4.86280i 0.423720 + 0.226483i 0.669453 0.742855i \(-0.266529\pi\)
−0.245733 + 0.969338i \(0.579029\pi\)
\(462\) 4.08374 6.98392i 0.189993 0.324921i
\(463\) −28.6354 + 11.8612i −1.33080 + 0.551236i −0.930884 0.365315i \(-0.880961\pi\)
−0.399917 + 0.916551i \(0.630961\pi\)
\(464\) −12.2683 + 16.3457i −0.569542 + 0.758828i
\(465\) 9.68440 + 4.01141i 0.449103 + 0.186025i
\(466\) 16.2506 12.3276i 0.752795 0.571065i
\(467\) 34.1423 10.3570i 1.57992 0.479263i 0.626124 0.779723i \(-0.284640\pi\)
0.953794 + 0.300460i \(0.0971403\pi\)
\(468\) 3.13815 4.92447i 0.145061 0.227634i
\(469\) 1.60582 + 16.3042i 0.0741499 + 0.752857i
\(470\) −4.50182 + 0.717746i −0.207653 + 0.0331072i
\(471\) 8.53318 + 12.7708i 0.393188 + 0.588448i
\(472\) 13.0688 + 16.4733i 0.601539 + 0.758244i
\(473\) −15.2447 10.1862i −0.700951 0.468361i
\(474\) −1.69315 4.57503i −0.0777687 0.210138i
\(475\) −0.726104 0.220261i −0.0333159 0.0101063i
\(476\) 13.3645 + 1.02427i 0.612561 + 0.0469471i
\(477\) 2.04829 + 2.49585i 0.0937848 + 0.114277i
\(478\) −7.48746 + 21.6637i −0.342468 + 0.990873i
\(479\) 16.1665 + 16.1665i 0.738668 + 0.738668i 0.972320 0.233653i \(-0.0750678\pi\)
−0.233653 + 0.972320i \(0.575068\pi\)
\(480\) 4.56908 + 5.50965i 0.208549 + 0.251480i
\(481\) 24.2170 24.2170i 1.10420 1.10420i
\(482\) 3.33427 + 6.85640i 0.151872 + 0.312300i
\(483\) −5.82145 + 4.77754i −0.264885 + 0.217386i
\(484\) −0.599955 1.83368i −0.0272707 0.0833492i
\(485\) −4.41132 + 14.5422i −0.200308 + 0.660326i
\(486\) −0.590758 + 1.28491i −0.0267973 + 0.0582849i
\(487\) 21.8231 32.6606i 0.988901 1.47999i 0.115312 0.993329i \(-0.463213\pi\)
0.873589 0.486665i \(-0.161787\pi\)
\(488\) 8.15422 0.666970i 0.369124 0.0301923i
\(489\) −5.81044 + 3.88241i −0.262757 + 0.175569i
\(490\) 4.47936 6.17861i 0.202357 0.279121i
\(491\) −15.5222 + 1.52880i −0.700507 + 0.0689939i −0.441999 0.897015i \(-0.645731\pi\)
−0.258508 + 0.966009i \(0.583231\pi\)
\(492\) −6.04400 + 4.23086i −0.272485 + 0.190742i
\(493\) −6.01022 19.8131i −0.270687 0.892335i
\(494\) −0.913196 0.125357i −0.0410866 0.00564008i
\(495\) −1.67490 + 4.04357i −0.0752812 + 0.181745i
\(496\) 17.1983 28.3250i 0.772228 1.27183i
\(497\) 3.71972 + 8.98021i 0.166852 + 0.402817i
\(498\) −0.926913 3.53729i −0.0415360 0.158510i
\(499\) 13.3816 25.0351i 0.599041 1.12073i −0.381492 0.924372i \(-0.624590\pi\)
0.980533 0.196354i \(-0.0629103\pi\)
\(500\) 0.460843 + 21.2497i 0.0206095 + 0.950316i
\(501\) 1.46695 1.78748i 0.0655385 0.0798589i
\(502\) 37.9163 23.2886i 1.69229 1.03942i
\(503\) −36.7559 7.31120i −1.63886 0.325990i −0.712227 0.701949i \(-0.752313\pi\)
−0.926636 + 0.375959i \(0.877313\pi\)
\(504\) 0.836486 + 4.60240i 0.0372601 + 0.205007i
\(505\) 0.271491 + 1.36488i 0.0120812 + 0.0607362i
\(506\) −0.851706 + 22.2585i −0.0378630 + 0.989513i
\(507\) −3.94696 + 2.10969i −0.175290 + 0.0936947i
\(508\) 25.5059 3.07182i 1.13164 0.136290i
\(509\) −1.07355 + 10.9000i −0.0475845 + 0.483133i 0.941629 + 0.336652i \(0.109295\pi\)
−0.989213 + 0.146481i \(0.953205\pi\)
\(510\) −7.23822 + 0.434301i −0.320514 + 0.0192312i
\(511\) −14.9509 −0.661388
\(512\) 19.4151 11.6212i 0.858036 0.513589i
\(513\) 0.223237 0.00985615
\(514\) 32.8254 1.96956i 1.44787 0.0868735i
\(515\) 2.40906 24.4596i 0.106156 1.07782i
\(516\) 10.5251 1.26759i 0.463340 0.0558027i
\(517\) −7.77151 + 4.15396i −0.341790 + 0.182691i
\(518\) −1.04902 + 27.4153i −0.0460915 + 1.20456i
\(519\) 2.05661 + 10.3393i 0.0902750 + 0.453843i
\(520\) 1.86852 + 10.2807i 0.0819401 + 0.450839i
\(521\) 14.6877 + 2.92156i 0.643479 + 0.127996i 0.506034 0.862513i \(-0.331111\pi\)
0.137445 + 0.990509i \(0.456111\pi\)
\(522\) 6.15710 3.78176i 0.269489 0.165523i
\(523\) 23.0637 28.1032i 1.00850 1.22887i 0.0351912 0.999381i \(-0.488796\pi\)
0.973312 0.229484i \(-0.0737040\pi\)
\(524\) 0.453167 + 20.8958i 0.0197967 + 0.912837i
\(525\) −2.64991 + 4.95763i −0.115652 + 0.216369i
\(526\) 2.52474 + 9.63490i 0.110084 + 0.420102i
\(527\) 12.8468 + 31.0150i 0.559617 + 1.35104i
\(528\) 11.8266 + 7.18089i 0.514689 + 0.312508i
\(529\) −0.866884 + 2.09284i −0.0376906 + 0.0909932i
\(530\) −5.72391 0.785739i −0.248631 0.0341303i
\(531\) −2.15809 7.11427i −0.0936531 0.308733i
\(532\) 0.604919 0.423449i 0.0262266 0.0183588i
\(533\) −10.7184 + 1.05567i −0.464266 + 0.0457262i
\(534\) −5.56623 + 7.67778i −0.240874 + 0.332250i
\(535\) −8.03179 + 5.36667i −0.347245 + 0.232022i
\(536\) −27.9252 + 2.28412i −1.20618 + 0.0986591i
\(537\) 9.35901 14.0068i 0.403871 0.604436i
\(538\) 15.0199 32.6687i 0.647556 1.40845i
\(539\) 4.28224 14.1166i 0.184449 0.608047i
\(540\) −0.786937 2.40517i −0.0338644 0.103502i
\(541\) 27.8725 22.8744i 1.19833 0.983446i 0.198338 0.980134i \(-0.436446\pi\)
0.999995 0.00331236i \(-0.00105436\pi\)
\(542\) 18.2678 + 37.5648i 0.784670 + 1.61355i
\(543\) 8.19166 8.19166i 0.351538 0.351538i
\(544\) −2.12999 + 22.8239i −0.0913225 + 0.978567i
\(545\) −8.56610 8.56610i −0.366931 0.366931i
\(546\) −2.23073 + 6.45424i −0.0954665 + 0.276216i
\(547\) 12.9121 + 15.7335i 0.552082 + 0.672714i 0.972036 0.234831i \(-0.0754538\pi\)
−0.419954 + 0.907545i \(0.637954\pi\)
\(548\) 39.7070 + 3.04317i 1.69620 + 0.129998i
\(549\) −2.76803 0.839671i −0.118136 0.0358363i
\(550\) 5.77086 + 15.5934i 0.246070 + 0.664904i
\(551\) −0.948376 0.633684i −0.0404022 0.0269959i
\(552\) −8.00457 10.0898i −0.340697 0.429451i
\(553\) 3.16948 + 4.74346i 0.134780 + 0.201712i
\(554\) −31.8607 + 5.07970i −1.35363 + 0.215816i
\(555\) −1.45479 14.7707i −0.0617523 0.626982i
\(556\) −0.310350 + 0.487009i −0.0131618 + 0.0206538i
\(557\) −7.41891 + 2.25050i −0.314349 + 0.0953568i −0.443517 0.896266i \(-0.646269\pi\)
0.129168 + 0.991623i \(0.458769\pi\)
\(558\) −9.33403 + 7.08073i −0.395141 + 0.299751i
\(559\) 14.2980 + 5.92241i 0.604739 + 0.250491i
\(560\) −6.69468 5.02472i −0.282902 0.212333i
\(561\) −12.9498 + 5.36399i −0.546742 + 0.226468i
\(562\) 15.3630 26.2734i 0.648048 1.10828i
\(563\) 25.4595 + 13.6084i 1.07299 + 0.573526i 0.910637 0.413207i \(-0.135591\pi\)
0.162354 + 0.986733i \(0.448091\pi\)
\(564\) 1.84730 4.74845i 0.0777853 0.199946i
\(565\) 16.6442 + 13.6595i 0.700227 + 0.574662i
\(566\) −2.78100 + 11.6362i −0.116894 + 0.489106i
\(567\) 0.322650 1.62207i 0.0135500 0.0681207i
\(568\) −15.4613 + 6.10628i −0.648740 + 0.256214i
\(569\) −10.7368 + 2.13568i −0.450110 + 0.0895324i −0.414940 0.909849i \(-0.636197\pi\)
−0.0351701 + 0.999381i \(0.511197\pi\)
\(570\) −0.293059 + 0.271458i −0.0122749 + 0.0113701i
\(571\) −7.17860 13.4302i −0.300415 0.562037i 0.685743 0.727843i \(-0.259477\pi\)
−0.986158 + 0.165807i \(0.946977\pi\)
\(572\) 9.90545 + 17.6028i 0.414168 + 0.736009i
\(573\) 16.3696 + 1.61226i 0.683849 + 0.0673533i
\(574\) 5.72444 6.45523i 0.238934 0.269436i
\(575\) 15.4774i 0.645451i
\(576\) −7.89367 + 1.30001i −0.328903 + 0.0541673i
\(577\) 20.4928i 0.853126i −0.904458 0.426563i \(-0.859724\pi\)
0.904458 0.426563i \(-0.140276\pi\)
\(578\) 0.612768 + 0.543397i 0.0254878 + 0.0226023i
\(579\) 9.47910 + 0.933610i 0.393938 + 0.0387995i
\(580\) −3.48421 + 12.4517i −0.144674 + 0.517028i
\(581\) 2.01585 + 3.77140i 0.0836317 + 0.156464i
\(582\) −11.5421 12.4605i −0.478434 0.516505i
\(583\) −10.9536 + 2.17881i −0.453652 + 0.0902370i
\(584\) 0.423456 25.5656i 0.0175227 1.05791i
\(585\) 0.720728 3.62334i 0.0297984 0.149807i
\(586\) −37.3354 8.92301i −1.54231 0.368606i
\(587\) 19.7249 + 16.1878i 0.814134 + 0.668143i 0.946373 0.323075i \(-0.104717\pi\)
−0.132239 + 0.991218i \(0.542217\pi\)
\(588\) 3.43421 + 7.80765i 0.141624 + 0.321982i
\(589\) 1.63100 + 0.871788i 0.0672042 + 0.0359214i
\(590\) 11.4841 + 6.71515i 0.472793 + 0.276458i
\(591\) 2.20988 0.915361i 0.0909022 0.0376529i
\(592\) −46.8496 2.57029i −1.92551 0.105638i
\(593\) 24.3845 + 10.1004i 1.00135 + 0.414774i 0.822293 0.569064i \(-0.192695\pi\)
0.179060 + 0.983838i \(0.442695\pi\)
\(594\) −2.95645 3.89728i −0.121304 0.159907i
\(595\) 8.11481 2.46160i 0.332675 0.100916i
\(596\) −7.62802 + 1.69003i −0.312456 + 0.0692262i
\(597\) 0.144618 + 1.46834i 0.00591884 + 0.0600950i
\(598\) −2.96028 18.5674i −0.121055 0.759276i
\(599\) 11.8047 + 17.6669i 0.482325 + 0.721851i 0.990212 0.139573i \(-0.0445730\pi\)
−0.507886 + 0.861424i \(0.669573\pi\)
\(600\) −8.40236 4.67169i −0.343025 0.190721i
\(601\) 33.8025 + 22.5861i 1.37883 + 0.921306i 0.999991 0.00415558i \(-0.00132277\pi\)
0.378841 + 0.925462i \(0.376323\pi\)
\(602\) −11.6268 + 4.30289i −0.473873 + 0.175373i
\(603\) 9.47946 + 2.87556i 0.386033 + 0.117102i
\(604\) 11.0337 9.46280i 0.448953 0.385036i
\(605\) −0.774346 0.943544i −0.0314816 0.0383605i
\(606\) −1.47005 0.508083i −0.0597168 0.0206395i
\(607\) 5.55278 + 5.55278i 0.225380 + 0.225380i 0.810760 0.585379i \(-0.199054\pi\)
−0.585379 + 0.810760i \(0.699054\pi\)
\(608\) 0.706953 + 1.04639i 0.0286707 + 0.0424366i
\(609\) −5.97516 + 5.97516i −0.242126 + 0.242126i
\(610\) 4.65483 2.26365i 0.188469 0.0916525i
\(611\) 5.74973 4.71868i 0.232609 0.190897i
\(612\) 3.66458 7.22872i 0.148132 0.292204i
\(613\) −5.17235 + 17.0509i −0.208909 + 0.688681i 0.788386 + 0.615181i \(0.210917\pi\)
−0.997295 + 0.0735005i \(0.976583\pi\)
\(614\) −8.76754 4.03101i −0.353829 0.162678i
\(615\) −2.59315 + 3.88092i −0.104566 + 0.156494i
\(616\) −15.4039 4.95274i −0.620639 0.199551i
\(617\) 12.1974 8.15004i 0.491049 0.328108i −0.285272 0.958447i \(-0.592084\pi\)
0.776321 + 0.630338i \(0.217084\pi\)
\(618\) 22.2404 + 16.1238i 0.894640 + 0.648595i
\(619\) −38.7265 + 3.81422i −1.55655 + 0.153307i −0.839361 0.543574i \(-0.817071\pi\)
−0.717187 + 0.696881i \(0.754571\pi\)
\(620\) 3.64322 20.6456i 0.146315 0.829149i
\(621\) 1.32182 + 4.35747i 0.0530429 + 0.174859i
\(622\) 3.41529 24.8795i 0.136941 0.997578i
\(623\) 4.24401 10.2459i 0.170033 0.410495i
\(624\) −10.9734 3.99729i −0.439287 0.160020i
\(625\) −1.35773 3.27785i −0.0543092 0.131114i
\(626\) −18.5447 + 4.85946i −0.741194 + 0.194223i
\(627\) −0.364001 + 0.680998i −0.0145368 + 0.0271964i
\(628\) 21.2453 22.1872i 0.847780 0.885366i
\(629\) 30.1547 36.7437i 1.20235 1.46507i
\(630\) 1.54889 + 2.52176i 0.0617093 + 0.100469i
\(631\) −41.2322 8.20159i −1.64143 0.326500i −0.713897 0.700250i \(-0.753072\pi\)
−0.927529 + 0.373750i \(0.878072\pi\)
\(632\) −8.20095 + 5.28537i −0.326216 + 0.210241i
\(633\) 4.00295 + 20.1242i 0.159103 + 0.799864i
\(634\) −1.96021 0.0750058i −0.0778497 0.00297886i
\(635\) 14.3340 7.66166i 0.568826 0.304044i
\(636\) 3.98739 5.07935i 0.158110 0.201409i
\(637\) −1.22049 + 12.3919i −0.0483577 + 0.490984i
\(638\) 1.49697 + 24.9490i 0.0592655 + 0.987741i
\(639\) 5.87726 0.232501
\(640\) 8.78175 11.3054i 0.347129 0.446885i
\(641\) 21.6962 0.856950 0.428475 0.903554i \(-0.359051\pi\)
0.428475 + 0.903554i \(0.359051\pi\)
\(642\) −0.646637 10.7771i −0.0255207 0.425338i
\(643\) −3.33123 + 33.8225i −0.131371 + 1.33383i 0.672974 + 0.739666i \(0.265017\pi\)
−0.804345 + 0.594163i \(0.797483\pi\)
\(644\) 11.8473 + 9.30039i 0.466850 + 0.366487i
\(645\) 5.91494 3.16160i 0.232901 0.124488i
\(646\) −1.27838 0.0489164i −0.0502973 0.00192459i
\(647\) 1.24790 + 6.27364i 0.0490602 + 0.246642i 0.997531 0.0702209i \(-0.0223704\pi\)
−0.948471 + 0.316863i \(0.897370\pi\)
\(648\) 2.76456 + 0.597665i 0.108602 + 0.0234785i
\(649\) 25.2214 + 5.01685i 0.990027 + 0.196929i
\(650\) −7.34531 11.9589i −0.288107 0.469068i
\(651\) 8.69187 10.5911i 0.340661 0.415097i
\(652\) 10.0947 + 9.66615i 0.395339 + 0.378556i
\(653\) −14.1539 + 26.4802i −0.553886 + 1.03625i 0.436732 + 0.899592i \(0.356136\pi\)
−0.990618 + 0.136657i \(0.956364\pi\)
\(654\) 13.0976 3.43212i 0.512159 0.134206i
\(655\) 5.06022 + 12.2164i 0.197719 + 0.477336i
\(656\) 10.8761 + 9.97146i 0.424642 + 0.389320i
\(657\) −3.45948 + 8.35191i −0.134967 + 0.325839i
\(658\) −0.810341 + 5.90313i −0.0315904 + 0.230128i
\(659\) −10.2532 33.8004i −0.399409 1.31668i −0.894202 0.447664i \(-0.852256\pi\)
0.494793 0.869011i \(-0.335244\pi\)
\(660\) 8.62026 + 1.52117i 0.335543 + 0.0592113i
\(661\) 20.7313 2.04185i 0.806353 0.0794189i 0.313563 0.949567i \(-0.398477\pi\)
0.492790 + 0.870148i \(0.335977\pi\)
\(662\) −15.2321 11.0430i −0.592013 0.429197i
\(663\) 9.83742 6.57316i 0.382054 0.255280i
\(664\) −6.50608 + 3.34024i −0.252485 + 0.129626i
\(665\) 0.259537 0.388425i 0.0100644 0.0150625i
\(666\) 15.0721 + 6.92961i 0.584031 + 0.268517i
\(667\) 6.75370 22.2640i 0.261504 0.862064i
\(668\) −4.12496 2.09114i −0.159599 0.0809086i
\(669\) −0.982573 + 0.806377i −0.0379885 + 0.0311763i
\(670\) −15.9411 + 7.75215i −0.615857 + 0.299492i
\(671\) 7.07490 7.07490i 0.273124 0.273124i
\(672\) 8.62499 3.62445i 0.332716 0.139816i
\(673\) −16.6723 16.6723i −0.642669 0.642669i 0.308542 0.951211i \(-0.400159\pi\)
−0.951211 + 0.308542i \(0.900159\pi\)
\(674\) −46.3259 16.0113i −1.78441 0.616732i
\(675\) 2.15629 + 2.62744i 0.0829956 + 0.101130i
\(676\) 5.82702 + 6.79433i 0.224116 + 0.261320i
\(677\) 39.1786 + 11.8847i 1.50576 + 0.456766i 0.932061 0.362302i \(-0.118009\pi\)
0.573696 + 0.819069i \(0.305509\pi\)
\(678\) −22.5694 + 8.35258i −0.866774 + 0.320779i
\(679\) 16.5154 + 11.0352i 0.633802 + 0.423493i
\(680\) 3.97943 + 13.9458i 0.152604 + 0.534798i
\(681\) −10.1649 15.2129i −0.389521 0.582959i
\(682\) −6.38051 40.0196i −0.244322 1.53243i
\(683\) −4.37976 44.4684i −0.167587 1.70154i −0.600113 0.799915i \(-0.704878\pi\)
0.432526 0.901621i \(-0.357622\pi\)
\(684\) −0.0965766 0.435903i −0.00369270 0.0166672i
\(685\) 24.1098 7.31361i 0.921186 0.279439i
\(686\) −15.9235 20.9908i −0.607962 0.801434i
\(687\) −13.8972 5.75641i −0.530211 0.219621i
\(688\) −7.02851 20.0034i −0.267959 0.762621i
\(689\) 8.70934 3.60753i 0.331799 0.137436i
\(690\) −7.03397 4.11301i −0.267779 0.156580i
\(691\) −26.6975 14.2701i −1.01562 0.542861i −0.122402 0.992481i \(-0.539060\pi\)
−0.893220 + 0.449619i \(0.851560\pi\)
\(692\) 19.2992 8.48880i 0.733646 0.322696i
\(693\) 4.42214 + 3.62915i 0.167983 + 0.137860i
\(694\) 18.8846 + 4.51334i 0.716850 + 0.171324i
\(695\) −0.0712770 + 0.358334i −0.00270369 + 0.0135924i
\(696\) −10.0481 10.3866i −0.380873 0.393703i
\(697\) −14.6609 + 2.91624i −0.555323 + 0.110461i
\(698\) 28.9711 + 31.2764i 1.09657 + 1.18383i
\(699\) 6.79901 + 12.7200i 0.257162 + 0.481116i
\(700\) 10.8269 + 3.02958i 0.409219 + 0.114507i
\(701\) −38.7997 3.82143i −1.46544 0.144334i −0.666394 0.745599i \(-0.732163\pi\)
−0.799049 + 0.601266i \(0.794663\pi\)
\(702\) 3.08932 + 2.73958i 0.116599 + 0.103399i
\(703\) 2.61857i 0.0987614i
\(704\) 8.90532 26.1999i 0.335632 0.987445i
\(705\) 3.22347i 0.121403i
\(706\) −27.6941 + 31.2296i −1.04228 + 1.17534i
\(707\) 1.81018 + 0.178287i 0.0680787 + 0.00670517i
\(708\) −12.9580 + 7.29176i −0.486993 + 0.274041i
\(709\) −7.43045 13.9014i −0.279056 0.522078i 0.702876 0.711313i \(-0.251899\pi\)
−0.981932 + 0.189235i \(0.939399\pi\)
\(710\) −7.71549 + 7.14680i −0.289557 + 0.268215i
\(711\) 3.38319 0.672958i 0.126879 0.0252379i
\(712\) 17.4001 + 7.54733i 0.652095 + 0.282848i
\(713\) −7.35941 + 36.9983i −0.275612 + 1.38560i
\(714\) −2.20312 + 9.21823i −0.0824496 + 0.344984i
\(715\) 9.87805 + 8.10671i 0.369418 + 0.303174i
\(716\) −31.3992 12.2153i −1.17344 0.456506i
\(717\) −14.2939 7.64024i −0.533815 0.285330i
\(718\) −9.32475 + 15.9470i −0.347997 + 0.595136i
\(719\) −29.5606 + 12.2444i −1.10242 + 0.456639i −0.858322 0.513111i \(-0.828493\pi\)
−0.244101 + 0.969750i \(0.578493\pi\)
\(720\) −4.35600 + 2.57713i −0.162339 + 0.0960441i
\(721\) −29.6796 12.2937i −1.10533 0.457842i
\(722\) 21.3513 16.1969i 0.794612 0.602787i
\(723\) −5.15895 + 1.56495i −0.191863 + 0.0582011i
\(724\) −19.5393 12.4516i −0.726173 0.462759i
\(725\) −1.70223 17.2830i −0.0632193 0.641876i
\(726\) 1.34723 0.214795i 0.0500004 0.00797180i
\(727\) 11.5959 + 17.3544i 0.430066 + 0.643640i 0.981697 0.190449i \(-0.0609943\pi\)
−0.551631 + 0.834088i \(0.685994\pi\)
\(728\) 13.5679 + 1.56361i 0.502861 + 0.0579511i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) −5.61450 15.1709i −0.207802 0.561500i
\(731\) 20.5544 + 6.23511i 0.760232 + 0.230614i
\(732\) −0.442082 + 5.76824i −0.0163398 + 0.213200i
\(733\) 19.8424 + 24.1780i 0.732894 + 0.893034i 0.997452 0.0713355i \(-0.0227261\pi\)
−0.264558 + 0.964370i \(0.585226\pi\)
\(734\) 0.0292662 0.0846767i 0.00108024 0.00312547i
\(735\) 3.81575 + 3.81575i 0.140746 + 0.140746i
\(736\) −16.2390 + 19.9952i −0.598576 + 0.737032i
\(737\) −24.2289 + 24.2289i −0.892483 + 0.892483i
\(738\) −2.28147 4.69148i −0.0839820 0.172696i
\(739\) 23.3990 19.2030i 0.860745 0.706395i −0.0966063 0.995323i \(-0.530799\pi\)
0.957351 + 0.288928i \(0.0932988\pi\)
\(740\) −28.2127 + 9.23079i −1.03712 + 0.339331i
\(741\) 0.189202 0.623717i 0.00695053 0.0229128i
\(742\) −3.15456 + 6.86126i −0.115808 + 0.251885i
\(743\) 5.89949 8.82921i 0.216431 0.323912i −0.707328 0.706885i \(-0.750100\pi\)
0.923760 + 0.382973i \(0.125100\pi\)
\(744\) 17.8643 + 15.1628i 0.654936 + 0.555896i
\(745\) −4.10992 + 2.74616i −0.150576 + 0.100611i
\(746\) 8.33346 11.4948i 0.305109 0.420853i
\(747\) 2.57324 0.253442i 0.0941498 0.00927295i
\(748\) 16.0763 + 22.9659i 0.587809 + 0.839716i
\(749\) 3.66512 + 12.0823i 0.133920 + 0.441477i
\(750\) −14.8897 2.04396i −0.543696 0.0746347i
\(751\) 5.29408 12.7811i 0.193184 0.466387i −0.797373 0.603486i \(-0.793778\pi\)
0.990557 + 0.137099i \(0.0437779\pi\)
\(752\) −10.0712 1.55286i −0.367260 0.0566268i
\(753\) 12.0409 + 29.0692i 0.438794 + 1.05934i
\(754\) −5.34772 20.4079i −0.194752 0.743214i
\(755\) 4.33502 8.11025i 0.157768 0.295162i
\(756\) −3.30693 + 0.0717173i −0.120272 + 0.00260833i
\(757\) −0.324852 + 0.395833i −0.0118069 + 0.0143868i −0.778880 0.627172i \(-0.784212\pi\)
0.767074 + 0.641559i \(0.221712\pi\)
\(758\) −20.4029 + 12.5317i −0.741066 + 0.455171i
\(759\) −15.4480 3.07281i −0.560728 0.111536i
\(760\) 0.656845 + 0.454803i 0.0238263 + 0.0164974i
\(761\) −1.88487 9.47588i −0.0683264 0.343500i 0.931467 0.363826i \(-0.118530\pi\)
−0.999793 + 0.0203257i \(0.993530\pi\)
\(762\) −0.694589 + 18.1524i −0.0251623 + 0.657593i
\(763\) −13.9645 + 7.46418i −0.505549 + 0.270222i
\(764\) −3.93362 32.6616i −0.142313 1.18165i
\(765\) 0.502573 5.10271i 0.0181706 0.184489i
\(766\) −31.6118 + 1.89674i −1.14218 + 0.0685320i
\(767\) −21.7061 −0.783763
\(768\) 5.95343 + 14.8512i 0.214826 + 0.535895i
\(769\) −16.5098 −0.595358 −0.297679 0.954666i \(-0.596212\pi\)
−0.297679 + 0.954666i \(0.596212\pi\)
\(770\) −10.2183 + 0.613111i −0.368243 + 0.0220950i
\(771\) −2.27917 + 23.1408i −0.0820825 + 0.833397i
\(772\) −2.27783 18.9133i −0.0819809 0.680703i
\(773\) −21.4866 + 11.4848i −0.772818 + 0.413080i −0.810150 0.586223i \(-0.800614\pi\)