Properties

Label 192.2.r.a.157.2
Level $192$
Weight $2$
Character 192.157
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 157.2
Character \(\chi\) \(=\) 192.157
Dual form 192.2.r.a.181.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38576 + 0.282266i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(1.84065 - 0.782304i) q^{4} +(2.00072 - 2.99429i) q^{5} +(1.41420 - 0.00649411i) q^{6} +(-3.93986 + 1.63194i) q^{7} +(-2.32988 + 1.60364i) q^{8} +(0.923880 + 0.382683i) q^{9} +O(q^{10})\) \(q+(-1.38576 + 0.282266i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(1.84065 - 0.782304i) q^{4} +(2.00072 - 2.99429i) q^{5} +(1.41420 - 0.00649411i) q^{6} +(-3.93986 + 1.63194i) q^{7} +(-2.32988 + 1.60364i) q^{8} +(0.923880 + 0.382683i) q^{9} +(-1.92733 + 4.71410i) q^{10} +(-0.787083 - 3.95693i) q^{11} +(-1.95790 + 0.408179i) q^{12} +(-0.507984 - 0.760252i) q^{13} +(4.99905 - 3.37356i) q^{14} +(-2.54643 + 2.54643i) q^{15} +(2.77600 - 2.87990i) q^{16} +(-3.70628 - 3.70628i) q^{17} +(-1.38829 - 0.269527i) q^{18} +(1.20422 - 0.804632i) q^{19} +(1.34018 - 7.07662i) q^{20} +(4.18253 - 0.831957i) q^{21} +(2.20761 + 5.26119i) q^{22} +(2.69871 - 6.51527i) q^{23} +(2.59797 - 1.11829i) q^{24} +(-3.04947 - 7.36208i) q^{25} +(0.918536 + 0.910139i) q^{26} +(-0.831470 - 0.555570i) q^{27} +(-5.97523 + 6.08601i) q^{28} +(-1.13604 + 5.71125i) q^{29} +(2.80997 - 4.24751i) q^{30} +2.46811i q^{31} +(-3.03397 + 4.77442i) q^{32} +4.03446i q^{33} +(6.18216 + 4.08985i) q^{34} +(-2.99605 + 15.0621i) q^{35} +(1.99992 - 0.0183679i) q^{36} +(-3.29940 - 2.20459i) q^{37} +(-1.44163 + 1.45493i) q^{38} +(0.349906 + 0.844747i) q^{39} +(0.140316 + 10.1848i) q^{40} +(0.457544 - 1.10461i) q^{41} +(-5.56114 + 2.33348i) q^{42} +(6.68723 - 1.33017i) q^{43} +(-4.54427 - 6.66760i) q^{44} +(2.99429 - 2.00072i) q^{45} +(-1.90073 + 9.79034i) q^{46} +(2.46296 + 2.46296i) q^{47} +(-3.28450 + 2.28299i) q^{48} +(7.90949 - 7.90949i) q^{49} +(6.30390 + 9.34130i) q^{50} +(2.91200 + 4.35812i) q^{51} +(-1.52977 - 1.00196i) q^{52} +(1.69490 + 8.52084i) q^{53} +(1.30903 + 0.535191i) q^{54} +(-13.4229 - 5.55996i) q^{55} +(6.56235 - 10.1203i) q^{56} +(-1.33805 + 0.554240i) q^{57} +(-0.0378162 - 8.23508i) q^{58} +(3.49136 - 5.22519i) q^{59} +(-2.69501 + 6.67919i) q^{60} +(8.64534 + 1.71967i) q^{61} +(-0.696662 - 3.42020i) q^{62} -4.26447 q^{63} +(2.85669 - 7.47257i) q^{64} -3.29275 q^{65} +(-1.13879 - 5.59078i) q^{66} +(0.326267 + 0.0648985i) q^{67} +(-9.72141 - 3.92253i) q^{68} +(-3.91792 + 5.86359i) q^{69} +(-0.0997315 - 21.7182i) q^{70} +(-10.0335 + 4.15601i) q^{71} +(-2.76622 + 0.589961i) q^{72} +(12.5504 + 5.19854i) q^{73} +(5.19445 + 2.12372i) q^{74} +(1.55461 + 7.81554i) q^{75} +(1.58708 - 2.42311i) q^{76} +(9.55848 + 14.3053i) q^{77} +(-0.723328 - 1.07185i) q^{78} +(-3.74185 + 3.74185i) q^{79} +(-3.06926 - 14.0740i) q^{80} +(0.707107 + 0.707107i) q^{81} +(-0.322252 + 1.65987i) q^{82} +(4.11429 - 2.74908i) q^{83} +(7.04774 - 4.80335i) q^{84} +(-18.5129 + 3.68244i) q^{85} +(-8.89143 + 3.73088i) q^{86} +(2.22842 - 5.37988i) q^{87} +(8.17930 + 7.95699i) q^{88} +(-2.28974 - 5.52793i) q^{89} +(-3.58463 + 3.61770i) q^{90} +(3.24207 + 2.16628i) q^{91} +(-0.129532 - 14.1036i) q^{92} +(0.481504 - 2.42068i) q^{93} +(-4.10828 - 2.71786i) q^{94} -5.21562i q^{95} +(3.90711 - 4.09078i) q^{96} +0.186301i q^{97} +(-8.72806 + 13.1932i) q^{98} +(0.787083 - 3.95693i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{11}{16}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38576 + 0.282266i −0.979879 + 0.199592i
\(3\) −0.980785 0.195090i −0.566257 0.112635i
\(4\) 1.84065 0.782304i 0.920326 0.391152i
\(5\) 2.00072 2.99429i 0.894750 1.33909i −0.0456293 0.998958i \(-0.514529\pi\)
0.940379 0.340129i \(-0.110471\pi\)
\(6\) 1.41420 0.00649411i 0.577344 0.00265121i
\(7\) −3.93986 + 1.63194i −1.48913 + 0.616816i −0.971127 0.238565i \(-0.923323\pi\)
−0.517999 + 0.855381i \(0.673323\pi\)
\(8\) −2.32988 + 1.60364i −0.823737 + 0.566972i
\(9\) 0.923880 + 0.382683i 0.307960 + 0.127561i
\(10\) −1.92733 + 4.71410i −0.609475 + 1.49073i
\(11\) −0.787083 3.95693i −0.237315 1.19306i −0.897176 0.441673i \(-0.854385\pi\)
0.659861 0.751387i \(-0.270615\pi\)
\(12\) −1.95790 + 0.408179i −0.565198 + 0.117831i
\(13\) −0.507984 0.760252i −0.140889 0.210856i 0.754314 0.656514i \(-0.227970\pi\)
−0.895203 + 0.445658i \(0.852970\pi\)
\(14\) 4.99905 3.37356i 1.33605 0.901623i
\(15\) −2.54643 + 2.54643i −0.657487 + 0.657487i
\(16\) 2.77600 2.87990i 0.694000 0.719975i
\(17\) −3.70628 3.70628i −0.898904 0.898904i 0.0964348 0.995339i \(-0.469256\pi\)
−0.995339 + 0.0964348i \(0.969256\pi\)
\(18\) −1.38829 0.269527i −0.327224 0.0635282i
\(19\) 1.20422 0.804632i 0.276266 0.184595i −0.409717 0.912213i \(-0.634372\pi\)
0.685983 + 0.727618i \(0.259372\pi\)
\(20\) 1.34018 7.07662i 0.299674 1.58238i
\(21\) 4.18253 0.831957i 0.912703 0.181548i
\(22\) 2.20761 + 5.26119i 0.470665 + 1.12169i
\(23\) 2.69871 6.51527i 0.562720 1.35853i −0.344862 0.938653i \(-0.612074\pi\)
0.907582 0.419874i \(-0.137926\pi\)
\(24\) 2.59797 1.11829i 0.530308 0.228269i
\(25\) −3.04947 7.36208i −0.609895 1.47242i
\(26\) 0.918536 + 0.910139i 0.180140 + 0.178493i
\(27\) −0.831470 0.555570i −0.160016 0.106920i
\(28\) −5.97523 + 6.08601i −1.12921 + 1.15015i
\(29\) −1.13604 + 5.71125i −0.210957 + 1.06055i 0.719595 + 0.694394i \(0.244327\pi\)
−0.930552 + 0.366159i \(0.880673\pi\)
\(30\) 2.80997 4.24751i 0.513028 0.775486i
\(31\) 2.46811i 0.443285i 0.975128 + 0.221642i \(0.0711418\pi\)
−0.975128 + 0.221642i \(0.928858\pi\)
\(32\) −3.03397 + 4.77442i −0.536335 + 0.844005i
\(33\) 4.03446i 0.702308i
\(34\) 6.18216 + 4.08985i 1.06023 + 0.701403i
\(35\) −2.99605 + 15.0621i −0.506424 + 2.54597i
\(36\) 1.99992 0.0183679i 0.333319 0.00306132i
\(37\) −3.29940 2.20459i −0.542418 0.362432i 0.253976 0.967211i \(-0.418262\pi\)
−0.796394 + 0.604778i \(0.793262\pi\)
\(38\) −1.44163 + 1.45493i −0.233864 + 0.236022i
\(39\) 0.349906 + 0.844747i 0.0560297 + 0.135268i
\(40\) 0.140316 + 10.1848i 0.0221859 + 1.61035i
\(41\) 0.457544 1.10461i 0.0714563 0.172511i −0.884116 0.467267i \(-0.845239\pi\)
0.955572 + 0.294757i \(0.0952386\pi\)
\(42\) −5.56114 + 2.33348i −0.858103 + 0.360063i
\(43\) 6.68723 1.33017i 1.01979 0.202850i 0.343244 0.939246i \(-0.388474\pi\)
0.676550 + 0.736397i \(0.263474\pi\)
\(44\) −4.54427 6.66760i −0.685075 1.00518i
\(45\) 2.99429 2.00072i 0.446362 0.298250i
\(46\) −1.90073 + 9.79034i −0.280247 + 1.44351i
\(47\) 2.46296 + 2.46296i 0.359260 + 0.359260i 0.863540 0.504280i \(-0.168242\pi\)
−0.504280 + 0.863540i \(0.668242\pi\)
\(48\) −3.28450 + 2.28299i −0.474077 + 0.329522i
\(49\) 7.90949 7.90949i 1.12993 1.12993i
\(50\) 6.30390 + 9.34130i 0.891505 + 1.32106i
\(51\) 2.91200 + 4.35812i 0.407762 + 0.610259i
\(52\) −1.52977 1.00196i −0.212141 0.138947i
\(53\) 1.69490 + 8.52084i 0.232812 + 1.17043i 0.903467 + 0.428657i \(0.141013\pi\)
−0.670655 + 0.741770i \(0.733987\pi\)
\(54\) 1.30903 + 0.535191i 0.178137 + 0.0728302i
\(55\) −13.4229 5.55996i −1.80995 0.749706i
\(56\) 6.56235 10.1203i 0.876931 1.35239i
\(57\) −1.33805 + 0.554240i −0.177230 + 0.0734109i
\(58\) −0.0378162 8.23508i −0.00496551 1.08132i
\(59\) 3.49136 5.22519i 0.454537 0.680262i −0.531449 0.847090i \(-0.678352\pi\)
0.985986 + 0.166828i \(0.0533524\pi\)
\(60\) −2.69501 + 6.67919i −0.347925 + 0.862279i
\(61\) 8.64534 + 1.71967i 1.10692 + 0.220181i 0.714521 0.699614i \(-0.246645\pi\)
0.392401 + 0.919794i \(0.371645\pi\)
\(62\) −0.696662 3.42020i −0.0884762 0.434366i
\(63\) −4.26447 −0.537273
\(64\) 2.85669 7.47257i 0.357086 0.934071i
\(65\) −3.29275 −0.408415
\(66\) −1.13879 5.59078i −0.140175 0.688177i
\(67\) 0.326267 + 0.0648985i 0.0398598 + 0.00792861i 0.214980 0.976618i \(-0.431031\pi\)
−0.175120 + 0.984547i \(0.556031\pi\)
\(68\) −9.72141 3.92253i −1.17889 0.475677i
\(69\) −3.91792 + 5.86359i −0.471662 + 0.705893i
\(70\) −0.0997315 21.7182i −0.0119202 2.59582i
\(71\) −10.0335 + 4.15601i −1.19076 + 0.493228i −0.888001 0.459841i \(-0.847906\pi\)
−0.302755 + 0.953068i \(0.597906\pi\)
\(72\) −2.76622 + 0.589961i −0.326002 + 0.0695276i
\(73\) 12.5504 + 5.19854i 1.46891 + 0.608443i 0.966611 0.256249i \(-0.0824868\pi\)
0.502301 + 0.864693i \(0.332487\pi\)
\(74\) 5.19445 + 2.12372i 0.603843 + 0.246877i
\(75\) 1.55461 + 7.81554i 0.179511 + 0.902461i
\(76\) 1.58708 2.42311i 0.182050 0.277950i
\(77\) 9.55848 + 14.3053i 1.08929 + 1.63024i
\(78\) −0.723328 1.07185i −0.0819007 0.121363i
\(79\) −3.74185 + 3.74185i −0.420992 + 0.420992i −0.885545 0.464553i \(-0.846215\pi\)
0.464553 + 0.885545i \(0.346215\pi\)
\(80\) −3.06926 14.0740i −0.343153 1.57352i
\(81\) 0.707107 + 0.707107i 0.0785674 + 0.0785674i
\(82\) −0.322252 + 1.65987i −0.0355868 + 0.183302i
\(83\) 4.11429 2.74908i 0.451602 0.301751i −0.308891 0.951098i \(-0.599958\pi\)
0.760492 + 0.649347i \(0.224958\pi\)
\(84\) 7.04774 4.80335i 0.768971 0.524089i
\(85\) −18.5129 + 3.68244i −2.00801 + 0.399417i
\(86\) −8.89143 + 3.73088i −0.958787 + 0.402311i
\(87\) 2.22842 5.37988i 0.238912 0.576784i
\(88\) 8.17930 + 7.95699i 0.871916 + 0.848218i
\(89\) −2.28974 5.52793i −0.242712 0.585959i 0.754838 0.655911i \(-0.227715\pi\)
−0.997550 + 0.0699521i \(0.977715\pi\)
\(90\) −3.58463 + 3.61770i −0.377853 + 0.381339i
\(91\) 3.24207 + 2.16628i 0.339862 + 0.227088i
\(92\) −0.129532 14.1036i −0.0135046 1.47040i
\(93\) 0.481504 2.42068i 0.0499296 0.251013i
\(94\) −4.10828 2.71786i −0.423737 0.280326i
\(95\) 5.21562i 0.535111i
\(96\) 3.90711 4.09078i 0.398768 0.417513i
\(97\) 0.186301i 0.0189160i 0.999955 + 0.00945798i \(0.00301061\pi\)
−0.999955 + 0.00945798i \(0.996989\pi\)
\(98\) −8.72806 + 13.1932i −0.881668 + 1.33272i
\(99\) 0.787083 3.95693i 0.0791048 0.397687i
\(100\) −11.3724 11.1654i −1.13724 1.11654i
\(101\) −8.59008 5.73971i −0.854745 0.571122i 0.0491917 0.998789i \(-0.484335\pi\)
−0.903936 + 0.427667i \(0.859335\pi\)
\(102\) −5.26548 5.21734i −0.521360 0.516594i
\(103\) 1.74997 + 4.22480i 0.172430 + 0.416282i 0.986343 0.164704i \(-0.0526670\pi\)
−0.813913 + 0.580986i \(0.802667\pi\)
\(104\) 2.40271 + 0.956674i 0.235605 + 0.0938096i
\(105\) 5.87695 14.1882i 0.573532 1.38463i
\(106\) −4.75386 11.3294i −0.461736 1.10041i
\(107\) 16.6536 3.31261i 1.60996 0.320242i 0.693530 0.720427i \(-0.256054\pi\)
0.916434 + 0.400186i \(0.131054\pi\)
\(108\) −1.96507 0.372149i −0.189089 0.0358101i
\(109\) 8.24468 5.50892i 0.789697 0.527659i −0.0940813 0.995565i \(-0.529991\pi\)
0.883778 + 0.467906i \(0.154991\pi\)
\(110\) 20.1703 + 3.91593i 1.92317 + 0.373369i
\(111\) 2.80591 + 2.80591i 0.266325 + 0.266325i
\(112\) −6.23721 + 15.8767i −0.589361 + 1.50020i
\(113\) 0.0137915 0.0137915i 0.00129740 0.00129740i −0.706458 0.707755i \(-0.749708\pi\)
0.707755 + 0.706458i \(0.249708\pi\)
\(114\) 1.69778 1.14573i 0.159011 0.107307i
\(115\) −14.1092 21.1160i −1.31569 1.96907i
\(116\) 2.37689 + 11.4012i 0.220688 + 1.05857i
\(117\) −0.178380 0.896778i −0.0164913 0.0829072i
\(118\) −3.36329 + 8.22635i −0.309616 + 0.757297i
\(119\) 20.6506 + 8.55377i 1.89304 + 0.784123i
\(120\) 1.84933 10.0164i 0.168820 0.914372i
\(121\) −4.87515 + 2.01935i −0.443196 + 0.183578i
\(122\) −12.4658 + 0.0572437i −1.12860 + 0.00518260i
\(123\) −0.664250 + 0.994121i −0.0598934 + 0.0896369i
\(124\) 1.93081 + 4.54292i 0.173392 + 0.407967i
\(125\) −10.4853 2.08566i −0.937835 0.186547i
\(126\) 5.90953 1.20371i 0.526462 0.107235i
\(127\) 2.66259 0.236267 0.118134 0.992998i \(-0.462309\pi\)
0.118134 + 0.992998i \(0.462309\pi\)
\(128\) −1.84943 + 11.1615i −0.163468 + 0.986549i
\(129\) −6.81824 −0.600313
\(130\) 4.56295 0.929431i 0.400198 0.0815164i
\(131\) 2.06604 + 0.410961i 0.180511 + 0.0359058i 0.284518 0.958671i \(-0.408166\pi\)
−0.104007 + 0.994577i \(0.533166\pi\)
\(132\) 3.15617 + 7.42603i 0.274709 + 0.646353i
\(133\) −3.43133 + 5.13535i −0.297534 + 0.445291i
\(134\) −0.470445 + 0.00216032i −0.0406403 + 0.000186623i
\(135\) −3.32708 + 1.37812i −0.286349 + 0.118610i
\(136\) 14.5787 + 2.69166i 1.25011 + 0.230808i
\(137\) −13.0962 5.42463i −1.11889 0.463457i −0.254896 0.966968i \(-0.582041\pi\)
−0.863989 + 0.503511i \(0.832041\pi\)
\(138\) 3.77420 9.23141i 0.321282 0.785830i
\(139\) −2.62933 13.2185i −0.223016 1.12118i −0.916293 0.400508i \(-0.868834\pi\)
0.693277 0.720671i \(-0.256166\pi\)
\(140\) 6.26850 + 30.0680i 0.529785 + 2.54121i
\(141\) −1.93514 2.89614i −0.162968 0.243899i
\(142\) 12.7309 8.59134i 1.06835 0.720969i
\(143\) −2.60844 + 2.60844i −0.218129 + 0.218129i
\(144\) 3.66678 1.59835i 0.305565 0.133196i
\(145\) 14.8283 + 14.8283i 1.23142 + 1.23142i
\(146\) −18.8592 3.66138i −1.56080 0.303018i
\(147\) −9.30058 + 6.21445i −0.767099 + 0.512559i
\(148\) −7.79771 1.47675i −0.640968 0.121388i
\(149\) −10.4120 + 2.07108i −0.852984 + 0.169669i −0.602172 0.798367i \(-0.705698\pi\)
−0.250813 + 0.968036i \(0.580698\pi\)
\(150\) −4.36037 10.3916i −0.356023 0.848474i
\(151\) −5.53145 + 13.3541i −0.450143 + 1.08674i 0.522125 + 0.852869i \(0.325140\pi\)
−0.972267 + 0.233872i \(0.924860\pi\)
\(152\) −1.51534 + 3.80582i −0.122911 + 0.308693i
\(153\) −2.00582 4.84249i −0.162161 0.391492i
\(154\) −17.2836 17.1256i −1.39276 1.38002i
\(155\) 7.39023 + 4.93799i 0.593597 + 0.396629i
\(156\) 1.30490 + 1.28115i 0.104476 + 0.102574i
\(157\) −1.55492 + 7.81711i −0.124096 + 0.623873i 0.867810 + 0.496897i \(0.165527\pi\)
−0.991906 + 0.126977i \(0.959473\pi\)
\(158\) 4.12911 6.24150i 0.328494 0.496547i
\(159\) 8.68777i 0.688985i
\(160\) 8.22586 + 18.6369i 0.650312 + 1.47337i
\(161\) 30.0734i 2.37011i
\(162\) −1.17947 0.780287i −0.0926680 0.0613051i
\(163\) 1.45059 7.29259i 0.113619 0.571200i −0.881472 0.472236i \(-0.843447\pi\)
0.995091 0.0989642i \(-0.0315529\pi\)
\(164\) −0.0219611 2.39114i −0.00171487 0.186716i
\(165\) 12.0803 + 8.07182i 0.940452 + 0.628390i
\(166\) −4.92544 + 4.97088i −0.382288 + 0.385815i
\(167\) −7.29027 17.6003i −0.564138 1.36195i −0.906430 0.422356i \(-0.861203\pi\)
0.342292 0.939594i \(-0.388797\pi\)
\(168\) −8.41064 + 8.64562i −0.648895 + 0.667024i
\(169\) 4.65495 11.2380i 0.358073 0.864465i
\(170\) 24.6150 10.3285i 1.88788 0.792163i
\(171\) 1.42047 0.282549i 0.108626 0.0216071i
\(172\) 11.2683 7.67984i 0.859198 0.585582i
\(173\) 15.1191 10.1023i 1.14948 0.768061i 0.173271 0.984874i \(-0.444566\pi\)
0.976213 + 0.216813i \(0.0695663\pi\)
\(174\) −1.56950 + 8.08423i −0.118983 + 0.612864i
\(175\) 24.0290 + 24.0290i 1.81642 + 1.81642i
\(176\) −13.5805 8.71773i −1.02367 0.657123i
\(177\) −4.44366 + 4.44366i −0.334006 + 0.334006i
\(178\) 4.73337 + 7.01405i 0.354781 + 0.525726i
\(179\) 7.52202 + 11.2575i 0.562223 + 0.841425i 0.998288 0.0584895i \(-0.0186284\pi\)
−0.436066 + 0.899915i \(0.643628\pi\)
\(180\) 3.94627 6.02508i 0.294138 0.449083i
\(181\) −3.75633 18.8844i −0.279206 1.40366i −0.824711 0.565555i \(-0.808662\pi\)
0.545505 0.838108i \(-0.316338\pi\)
\(182\) −5.10420 2.08682i −0.378348 0.154685i
\(183\) −8.14373 3.37324i −0.602002 0.249357i
\(184\) 4.16045 + 19.5076i 0.306713 + 1.43812i
\(185\) −13.2024 + 5.46860i −0.970657 + 0.402059i
\(186\) 0.0160282 + 3.49039i 0.00117524 + 0.255928i
\(187\) −11.7483 + 17.5826i −0.859124 + 1.28577i
\(188\) 6.46024 + 2.60667i 0.471161 + 0.190111i
\(189\) 4.18253 + 0.831957i 0.304234 + 0.0605160i
\(190\) 1.47219 + 7.22759i 0.106804 + 0.524344i
\(191\) −2.64758 −0.191572 −0.0957860 0.995402i \(-0.530536\pi\)
−0.0957860 + 0.995402i \(0.530536\pi\)
\(192\) −4.25963 + 6.77167i −0.307412 + 0.488704i
\(193\) −20.0210 −1.44114 −0.720570 0.693382i \(-0.756120\pi\)
−0.720570 + 0.693382i \(0.756120\pi\)
\(194\) −0.0525863 0.258168i −0.00377548 0.0185354i
\(195\) 3.22948 + 0.642384i 0.231268 + 0.0460020i
\(196\) 8.37099 20.7463i 0.597928 1.48188i
\(197\) −7.08646 + 10.6056i −0.504889 + 0.755620i −0.993121 0.117094i \(-0.962642\pi\)
0.488232 + 0.872714i \(0.337642\pi\)
\(198\) 0.0262002 + 5.70552i 0.00186197 + 0.405474i
\(199\) 16.2036 6.71174i 1.14864 0.475783i 0.274564 0.961569i \(-0.411467\pi\)
0.874078 + 0.485786i \(0.161467\pi\)
\(200\) 18.9110 + 12.2625i 1.33721 + 0.867091i
\(201\) −0.307336 0.127303i −0.0216778 0.00897926i
\(202\) 13.5239 + 5.52916i 0.951538 + 0.389030i
\(203\) −4.84461 24.3555i −0.340025 1.70942i
\(204\) 8.76936 + 5.74371i 0.613978 + 0.402140i
\(205\) −2.39210 3.58003i −0.167072 0.250040i
\(206\) −3.61755 5.36060i −0.252047 0.373491i
\(207\) 4.98657 4.98657i 0.346591 0.346591i
\(208\) −3.59961 0.647516i −0.249588 0.0448971i
\(209\) −4.13169 4.13169i −0.285795 0.285795i
\(210\) −4.13919 + 21.3203i −0.285631 + 1.47124i
\(211\) −4.81268 + 3.21573i −0.331319 + 0.221380i −0.710091 0.704110i \(-0.751346\pi\)
0.378773 + 0.925490i \(0.376346\pi\)
\(212\) 9.78561 + 14.3580i 0.672078 + 0.986109i
\(213\) 10.6515 2.11872i 0.729829 0.145172i
\(214\) −22.1428 + 9.29121i −1.51365 + 0.635134i
\(215\) 9.39636 22.6848i 0.640827 1.54709i
\(216\) 2.82816 0.0389636i 0.192432 0.00265114i
\(217\) −4.02781 9.72399i −0.273425 0.660107i
\(218\) −9.87015 + 9.96122i −0.668491 + 0.674659i
\(219\) −11.2951 7.54711i −0.763249 0.509987i
\(220\) −29.0566 + 0.266866i −1.95899 + 0.0179921i
\(221\) −0.934975 + 4.70044i −0.0628932 + 0.316186i
\(222\) −4.68033 3.09630i −0.314123 0.207810i
\(223\) 11.0608i 0.740687i −0.928895 0.370344i \(-0.879240\pi\)
0.928895 0.370344i \(-0.120760\pi\)
\(224\) 4.16183 23.7618i 0.278074 1.58765i
\(225\) 7.96866i 0.531244i
\(226\) −0.0152188 + 0.0230046i −0.00101234 + 0.00153024i
\(227\) 1.44779 7.27852i 0.0960930 0.483092i −0.902530 0.430627i \(-0.858292\pi\)
0.998623 0.0524646i \(-0.0167077\pi\)
\(228\) −2.02931 + 2.06693i −0.134394 + 0.136886i
\(229\) 23.6508 + 15.8029i 1.56289 + 1.04429i 0.971243 + 0.238088i \(0.0765208\pi\)
0.591644 + 0.806199i \(0.298479\pi\)
\(230\) 25.5123 + 25.2791i 1.68223 + 1.66685i
\(231\) −6.58400 15.8952i −0.433195 1.04583i
\(232\) −6.51195 15.1283i −0.427530 0.993224i
\(233\) −0.454136 + 1.09638i −0.0297514 + 0.0718263i −0.938057 0.346481i \(-0.887377\pi\)
0.908306 + 0.418307i \(0.137377\pi\)
\(234\) 0.500322 + 1.19237i 0.0327071 + 0.0779475i
\(235\) 12.3025 2.44712i 0.802528 0.159633i
\(236\) 2.33869 12.3491i 0.152236 0.803856i
\(237\) 4.39996 2.93996i 0.285808 0.190971i
\(238\) −31.0312 6.02449i −2.01146 0.390510i
\(239\) −12.5377 12.5377i −0.810996 0.810996i 0.173787 0.984783i \(-0.444400\pi\)
−0.984783 + 0.173787i \(0.944400\pi\)
\(240\) 0.264575 + 14.4024i 0.0170783 + 0.929670i
\(241\) −16.7220 + 16.7220i −1.07716 + 1.07716i −0.0803930 + 0.996763i \(0.525618\pi\)
−0.996763 + 0.0803930i \(0.974382\pi\)
\(242\) 6.18579 4.17443i 0.397638 0.268342i
\(243\) −0.555570 0.831470i −0.0356398 0.0533388i
\(244\) 17.2584 3.59798i 1.10485 0.230337i
\(245\) −7.85863 39.5080i −0.502069 2.52407i
\(246\) 0.639884 1.56511i 0.0407975 0.0997876i
\(247\) −1.22345 0.506768i −0.0778460 0.0322449i
\(248\) −3.95795 5.75039i −0.251330 0.365150i
\(249\) −4.57155 + 1.89360i −0.289710 + 0.120002i
\(250\) 15.1188 0.0694268i 0.956198 0.00439094i
\(251\) −4.26066 + 6.37653i −0.268931 + 0.402483i −0.941214 0.337811i \(-0.890314\pi\)
0.672283 + 0.740294i \(0.265314\pi\)
\(252\) −7.84941 + 3.33611i −0.494466 + 0.210155i
\(253\) −27.9046 5.55057i −1.75435 0.348961i
\(254\) −3.68971 + 0.751559i −0.231513 + 0.0471570i
\(255\) 18.8756 1.18204
\(256\) −0.587650 15.9892i −0.0367281 0.999325i
\(257\) 19.4102 1.21078 0.605389 0.795930i \(-0.293018\pi\)
0.605389 + 0.795930i \(0.293018\pi\)
\(258\) 9.44844 1.92456i 0.588234 0.119818i
\(259\) 16.5969 + 3.30134i 1.03128 + 0.205135i
\(260\) −6.06081 + 2.57593i −0.375875 + 0.159753i
\(261\) −3.23517 + 4.84177i −0.200252 + 0.299698i
\(262\) −2.97903 + 0.0136800i −0.184045 + 0.000845150i
\(263\) −6.67555 + 2.76510i −0.411632 + 0.170504i −0.578883 0.815411i \(-0.696511\pi\)
0.167251 + 0.985914i \(0.446511\pi\)
\(264\) −6.46980 9.39980i −0.398189 0.578518i
\(265\) 28.9049 + 11.9728i 1.77561 + 0.735483i
\(266\) 3.30546 8.08490i 0.202671 0.495717i
\(267\) 1.16730 + 5.86842i 0.0714376 + 0.359141i
\(268\) 0.651314 0.135784i 0.0397853 0.00829435i
\(269\) −2.91731 4.36606i −0.177871 0.266203i 0.731811 0.681507i \(-0.238675\pi\)
−0.909683 + 0.415304i \(0.863675\pi\)
\(270\) 4.22153 2.84886i 0.256914 0.173376i
\(271\) −15.6337 + 15.6337i −0.949681 + 0.949681i −0.998793 0.0491118i \(-0.984361\pi\)
0.0491118 + 0.998793i \(0.484361\pi\)
\(272\) −20.9623 + 0.385084i −1.27103 + 0.0233491i
\(273\) −2.75716 2.75716i −0.166871 0.166871i
\(274\) 19.6794 + 3.82061i 1.18887 + 0.230812i
\(275\) −26.7311 + 17.8611i −1.61194 + 1.07707i
\(276\) −2.62442 + 13.8578i −0.157972 + 0.834143i
\(277\) −4.52942 + 0.900957i −0.272146 + 0.0541333i −0.329277 0.944233i \(-0.606805\pi\)
0.0571304 + 0.998367i \(0.481805\pi\)
\(278\) 7.37474 + 17.5755i 0.442308 + 1.05411i
\(279\) −0.944503 + 2.28023i −0.0565459 + 0.136514i
\(280\) −17.1738 39.8976i −1.02633 2.38434i
\(281\) 4.41675 + 10.6630i 0.263482 + 0.636101i 0.999149 0.0412420i \(-0.0131315\pi\)
−0.735668 + 0.677343i \(0.763131\pi\)
\(282\) 3.49911 + 3.46712i 0.208369 + 0.206464i
\(283\) 3.12791 + 2.09000i 0.185935 + 0.124238i 0.645054 0.764137i \(-0.276835\pi\)
−0.459119 + 0.888375i \(0.651835\pi\)
\(284\) −15.2169 + 15.4990i −0.902957 + 0.919697i
\(285\) −1.01752 + 5.11540i −0.0602725 + 0.303010i
\(286\) 2.87840 4.35094i 0.170203 0.257277i
\(287\) 5.09868i 0.300966i
\(288\) −4.63011 + 3.24994i −0.272832 + 0.191504i
\(289\) 10.4730i 0.616058i
\(290\) −24.7339 16.3629i −1.45242 0.960861i
\(291\) 0.0363454 0.182721i 0.00213061 0.0107113i
\(292\) 27.1677 0.249518i 1.58987 0.0146019i
\(293\) 4.31206 + 2.88123i 0.251913 + 0.168323i 0.675115 0.737712i \(-0.264094\pi\)
−0.423202 + 0.906035i \(0.639094\pi\)
\(294\) 11.1342 11.2370i 0.649361 0.655353i
\(295\) −8.66050 20.9083i −0.504234 1.21733i
\(296\) 11.2226 0.154614i 0.652299 0.00898673i
\(297\) −1.54392 + 3.72735i −0.0895873 + 0.216283i
\(298\) 13.8439 5.80896i 0.801957 0.336504i
\(299\) −6.32415 + 1.25795i −0.365735 + 0.0727492i
\(300\) 8.97562 + 13.1695i 0.518208 + 0.760342i
\(301\) −24.1760 + 16.1539i −1.39348 + 0.931094i
\(302\) 3.89584 20.0669i 0.224181 1.15472i
\(303\) 7.30526 + 7.30526i 0.419676 + 0.419676i
\(304\) 1.02565 5.70168i 0.0588248 0.327014i
\(305\) 22.4461 22.4461i 1.28526 1.28526i
\(306\) 4.14645 + 6.14434i 0.237037 + 0.351248i
\(307\) 3.61857 + 5.41558i 0.206523 + 0.309083i 0.920243 0.391348i \(-0.127991\pi\)
−0.713720 + 0.700431i \(0.752991\pi\)
\(308\) 28.7849 + 18.8534i 1.64017 + 1.07427i
\(309\) −0.892127 4.48503i −0.0507513 0.255144i
\(310\) −11.6349 4.75685i −0.660817 0.270171i
\(311\) 10.8463 + 4.49269i 0.615038 + 0.254757i 0.668381 0.743819i \(-0.266988\pi\)
−0.0533428 + 0.998576i \(0.516988\pi\)
\(312\) −2.16991 1.40704i −0.122847 0.0796578i
\(313\) 24.1427 10.0002i 1.36463 0.565246i 0.424300 0.905522i \(-0.360520\pi\)
0.940326 + 0.340276i \(0.110520\pi\)
\(314\) −0.0517598 11.2715i −0.00292097 0.636089i
\(315\) −8.53201 + 12.7691i −0.480725 + 0.719455i
\(316\) −3.96018 + 9.81472i −0.222778 + 0.552121i
\(317\) 10.2616 + 2.04116i 0.576350 + 0.114643i 0.474654 0.880172i \(-0.342573\pi\)
0.101696 + 0.994816i \(0.467573\pi\)
\(318\) 2.45226 + 12.0391i 0.137516 + 0.675122i
\(319\) 23.4932 1.31537
\(320\) −16.6596 23.5043i −0.931300 1.31393i
\(321\) −16.9799 −0.947724
\(322\) −8.48868 41.6744i −0.473056 2.32242i
\(323\) −7.44535 1.48097i −0.414271 0.0824035i
\(324\) 1.85471 + 0.748365i 0.103039 + 0.0415758i
\(325\) −4.04795 + 6.05819i −0.224540 + 0.336048i
\(326\) 0.0482868 + 10.5152i 0.00267436 + 0.582384i
\(327\) −9.16100 + 3.79461i −0.506604 + 0.209842i
\(328\) 0.705369 + 3.30734i 0.0389475 + 0.182617i
\(329\) −13.7231 5.68430i −0.756580 0.313386i
\(330\) −19.0188 7.77572i −1.04695 0.428040i
\(331\) −3.24628 16.3201i −0.178432 0.897036i −0.961438 0.275022i \(-0.911315\pi\)
0.783006 0.622014i \(-0.213685\pi\)
\(332\) 5.42236 8.27872i 0.297590 0.454354i
\(333\) −2.20459 3.29940i −0.120811 0.180806i
\(334\) 15.0705 + 22.3319i 0.824621 + 1.22195i
\(335\) 0.847093 0.847093i 0.0462816 0.0462816i
\(336\) 9.21475 14.3548i 0.502706 0.783118i
\(337\) −14.4576 14.4576i −0.787553 0.787553i 0.193539 0.981093i \(-0.438003\pi\)
−0.981093 + 0.193539i \(0.938003\pi\)
\(338\) −3.27852 + 16.8871i −0.178328 + 0.918539i
\(339\) −0.0162171 + 0.0108359i −0.000880793 + 0.000588527i
\(340\) −31.1950 + 21.2608i −1.69179 + 1.15303i
\(341\) 9.76613 1.94260i 0.528866 0.105198i
\(342\) −1.88868 + 0.792495i −0.102128 + 0.0428532i
\(343\) −6.83084 + 16.4911i −0.368831 + 0.890436i
\(344\) −13.4473 + 13.8230i −0.725032 + 0.745289i
\(345\) 9.71861 + 23.4628i 0.523232 + 1.26319i
\(346\) −18.0999 + 18.2669i −0.973057 + 0.982035i
\(347\) 0.431532 + 0.288340i 0.0231658 + 0.0154789i 0.567099 0.823649i \(-0.308066\pi\)
−0.543933 + 0.839128i \(0.683066\pi\)
\(348\) −0.106959 11.6458i −0.00573361 0.624280i
\(349\) 5.20867 26.1857i 0.278814 1.40169i −0.546710 0.837322i \(-0.684120\pi\)
0.825523 0.564368i \(-0.190880\pi\)
\(350\) −40.0809 26.5158i −2.14241 1.41733i
\(351\) 0.914347i 0.0488042i
\(352\) 21.2800 + 8.24735i 1.13423 + 0.439585i
\(353\) 2.11097i 0.112356i −0.998421 0.0561779i \(-0.982109\pi\)
0.998421 0.0561779i \(-0.0178914\pi\)
\(354\) 4.90355 7.41213i 0.260621 0.393950i
\(355\) −7.62992 + 38.3582i −0.404954 + 2.03584i
\(356\) −8.53914 8.38371i −0.452573 0.444336i
\(357\) −18.5851 12.4182i −0.983627 0.657238i
\(358\) −13.6013 13.4770i −0.718852 0.712280i
\(359\) 10.4260 + 25.1705i 0.550261 + 1.32845i 0.917283 + 0.398235i \(0.130377\pi\)
−0.367022 + 0.930212i \(0.619623\pi\)
\(360\) −3.76791 + 9.46320i −0.198586 + 0.498754i
\(361\) −6.46828 + 15.6158i −0.340436 + 0.821885i
\(362\) 10.5358 + 25.1089i 0.553748 + 1.31969i
\(363\) 5.17544 1.02946i 0.271640 0.0540325i
\(364\) 7.66222 + 1.45109i 0.401609 + 0.0760576i
\(365\) 40.6758 27.1787i 2.12907 1.42260i
\(366\) 12.2374 + 2.37580i 0.639659 + 0.124185i
\(367\) 12.9194 + 12.9194i 0.674388 + 0.674388i 0.958725 0.284337i \(-0.0917733\pi\)
−0.284337 + 0.958725i \(0.591773\pi\)
\(368\) −11.2717 25.8584i −0.587578 1.34796i
\(369\) 0.845430 0.845430i 0.0440114 0.0440114i
\(370\) 16.7517 11.3047i 0.870879 0.587705i
\(371\) −20.5832 30.8049i −1.06863 1.59931i
\(372\) −1.00743 4.83232i −0.0522328 0.250544i
\(373\) 0.155651 + 0.782508i 0.00805928 + 0.0405167i 0.984606 0.174790i \(-0.0559248\pi\)
−0.976546 + 0.215307i \(0.930925\pi\)
\(374\) 11.3174 27.6815i 0.585208 1.43137i
\(375\) 9.87695 + 4.09117i 0.510044 + 0.211267i
\(376\) −9.68810 1.78871i −0.499626 0.0922456i
\(377\) 4.91908 2.03755i 0.253346 0.104939i
\(378\) −6.03081 + 0.0276940i −0.310191 + 0.00142442i
\(379\) 12.0719 18.0669i 0.620091 0.928032i −0.379904 0.925026i \(-0.624043\pi\)
0.999995 0.00300629i \(-0.000956933\pi\)
\(380\) −4.08020 9.60014i −0.209310 0.492477i
\(381\) −2.61143 0.519446i −0.133788 0.0266120i
\(382\) 3.66890 0.747321i 0.187717 0.0382363i
\(383\) 5.38281 0.275049 0.137524 0.990498i \(-0.456085\pi\)
0.137524 + 0.990498i \(0.456085\pi\)
\(384\) 3.99140 10.5863i 0.203685 0.540227i
\(385\) 61.9580 3.15767
\(386\) 27.7442 5.65123i 1.41214 0.287640i
\(387\) 6.68723 + 1.33017i 0.339931 + 0.0676165i
\(388\) 0.145744 + 0.342915i 0.00739902 + 0.0174088i
\(389\) 13.8846 20.7797i 0.703975 1.05357i −0.291314 0.956627i \(-0.594093\pi\)
0.995290 0.0969461i \(-0.0309074\pi\)
\(390\) −4.65660 + 0.0213835i −0.235796 + 0.00108280i
\(391\) −34.1496 + 14.1452i −1.72702 + 0.715354i
\(392\) −5.74421 + 31.1121i −0.290127 + 1.57140i
\(393\) −1.94617 0.806129i −0.0981711 0.0406638i
\(394\) 6.82651 16.6971i 0.343915 0.841188i
\(395\) 3.71779 + 18.6906i 0.187062 + 0.940426i
\(396\) −1.64678 7.89908i −0.0827538 0.396944i
\(397\) −0.832645 1.24614i −0.0417893 0.0625420i 0.809987 0.586448i \(-0.199474\pi\)
−0.851776 + 0.523906i \(0.824474\pi\)
\(398\) −20.5598 + 13.8746i −1.03057 + 0.695469i
\(399\) 4.36725 4.36725i 0.218636 0.218636i
\(400\) −29.6674 11.6550i −1.48337 0.582748i
\(401\) 3.25173 + 3.25173i 0.162384 + 0.162384i 0.783622 0.621238i \(-0.213370\pi\)
−0.621238 + 0.783622i \(0.713370\pi\)
\(402\) 0.461827 + 0.0896605i 0.0230339 + 0.00447186i
\(403\) 1.87638 1.25376i 0.0934693 0.0624542i
\(404\) −20.3015 3.84475i −1.01004 0.191283i
\(405\) 3.53201 0.702560i 0.175507 0.0349105i
\(406\) 13.5882 + 32.3833i 0.674370 + 1.60716i
\(407\) −6.12651 + 14.7907i −0.303680 + 0.733148i
\(408\) −13.7735 5.48411i −0.681888 0.271504i
\(409\) 0.640222 + 1.54563i 0.0316569 + 0.0764266i 0.938917 0.344143i \(-0.111830\pi\)
−0.907260 + 0.420569i \(0.861830\pi\)
\(410\) 4.32539 + 4.28585i 0.213616 + 0.211663i
\(411\) 11.7863 + 7.87534i 0.581374 + 0.388462i
\(412\) 6.52617 + 6.40738i 0.321521 + 0.315669i
\(413\) −5.22826 + 26.2842i −0.257266 + 1.29336i
\(414\) −5.50264 + 8.31772i −0.270440 + 0.408794i
\(415\) 17.8195i 0.874726i
\(416\) 5.17097 0.118747i 0.253527 0.00582207i
\(417\) 13.4775i 0.659995i
\(418\) 6.89177 + 4.55929i 0.337087 + 0.223002i
\(419\) −5.97809 + 30.0539i −0.292049 + 1.46823i 0.504372 + 0.863486i \(0.331724\pi\)
−0.796421 + 0.604742i \(0.793276\pi\)
\(420\) −0.282080 30.7131i −0.0137641 1.49865i
\(421\) 22.9020 + 15.3026i 1.11617 + 0.745804i 0.969915 0.243442i \(-0.0782766\pi\)
0.146259 + 0.989246i \(0.453277\pi\)
\(422\) 5.76152 5.81468i 0.280466 0.283054i
\(423\) 1.33294 + 3.21801i 0.0648100 + 0.156465i
\(424\) −17.6132 17.1345i −0.855375 0.832126i
\(425\) −15.9837 + 38.5881i −0.775324 + 1.87180i
\(426\) −14.1624 + 5.94258i −0.686169 + 0.287919i
\(427\) −36.8678 + 7.33346i −1.78416 + 0.354891i
\(428\) 28.0620 19.1255i 1.35643 0.924468i
\(429\) 3.06720 2.04944i 0.148086 0.0989479i
\(430\) −6.61794 + 34.0880i −0.319145 + 1.64387i
\(431\) −18.3036 18.3036i −0.881653 0.881653i 0.112049 0.993703i \(-0.464259\pi\)
−0.993703 + 0.112049i \(0.964259\pi\)
\(432\) −3.90815 + 0.852287i −0.188031 + 0.0410057i
\(433\) −18.8526 + 18.8526i −0.905997 + 0.905997i −0.995946 0.0899493i \(-0.971329\pi\)
0.0899493 + 0.995946i \(0.471329\pi\)
\(434\) 8.32631 + 12.3382i 0.399676 + 0.592252i
\(435\) −11.6505 17.4362i −0.558598 0.836001i
\(436\) 10.8659 16.5898i 0.520384 0.794510i
\(437\) −1.99256 10.0173i −0.0953170 0.479191i
\(438\) 17.7825 + 7.27027i 0.849681 + 0.347387i
\(439\) 25.2770 + 10.4701i 1.20641 + 0.499710i 0.893064 0.449930i \(-0.148551\pi\)
0.313343 + 0.949640i \(0.398551\pi\)
\(440\) 40.1900 8.57148i 1.91598 0.408629i
\(441\) 10.3342 4.28059i 0.492107 0.203837i
\(442\) −0.0311232 6.77758i −0.00148038 0.322377i
\(443\) −8.71304 + 13.0400i −0.413969 + 0.619549i −0.978594 0.205799i \(-0.934021\pi\)
0.564625 + 0.825347i \(0.309021\pi\)
\(444\) 7.35978 + 2.96963i 0.349280 + 0.140932i
\(445\) −21.1333 4.20368i −1.00182 0.199274i
\(446\) 3.12209 + 15.3276i 0.147835 + 0.725784i
\(447\) 10.6160 0.502119
\(448\) 0.939848 + 34.1028i 0.0444037 + 1.61121i
\(449\) −28.0321 −1.32292 −0.661459 0.749981i \(-0.730062\pi\)
−0.661459 + 0.749981i \(0.730062\pi\)
\(450\) 2.24928 + 11.0426i 0.106032 + 0.520555i
\(451\) −4.73099 0.941052i −0.222773 0.0443124i
\(452\) 0.0145962 0.0361746i 0.000686549 0.00170151i
\(453\) 8.03042 12.0184i 0.377302 0.564672i
\(454\) 0.0481935 + 10.4949i 0.00226183 + 0.492551i
\(455\) 12.9730 5.37358i 0.608182 0.251917i
\(456\) 2.22871 3.43707i 0.104369 0.160955i
\(457\) 15.0947 + 6.25242i 0.706099 + 0.292476i 0.706689 0.707524i \(-0.250188\pi\)
−0.000590259 1.00000i \(0.500188\pi\)
\(458\) −37.2349 15.2233i −1.73987 0.711336i
\(459\) 1.02256 + 5.14076i 0.0477290 + 0.239950i
\(460\) −42.4893 27.8294i −1.98107 1.29755i
\(461\) 13.0217 + 19.4883i 0.606480 + 0.907661i 0.999932 0.0116839i \(-0.00371920\pi\)
−0.393452 + 0.919345i \(0.628719\pi\)
\(462\) 13.6105 + 20.1684i 0.633218 + 0.938321i
\(463\) −2.32339 + 2.32339i −0.107977 + 0.107977i −0.759031 0.651054i \(-0.774327\pi\)
0.651054 + 0.759031i \(0.274327\pi\)
\(464\) 13.2942 + 19.1261i 0.617168 + 0.887908i
\(465\) −6.28487 6.28487i −0.291454 0.291454i
\(466\) 0.319852 1.64751i 0.0148169 0.0763193i
\(467\) −13.6604 + 9.12758i −0.632128 + 0.422374i −0.829930 0.557868i \(-0.811620\pi\)
0.197802 + 0.980242i \(0.436620\pi\)
\(468\) −1.02989 1.51111i −0.0476067 0.0698510i
\(469\) −1.39135 + 0.276758i −0.0642468 + 0.0127795i
\(470\) −16.3576 + 6.86370i −0.754519 + 0.316599i
\(471\) 3.05009 7.36356i 0.140541 0.339295i
\(472\) 0.244858 + 17.7730i 0.0112705 + 0.818067i
\(473\) −10.5268 25.4140i −0.484024 1.16854i
\(474\) −5.26743 + 5.31603i −0.241941 + 0.244173i
\(475\) −9.59599 6.41184i −0.440294 0.294195i
\(476\) 44.7023 0.410562i 2.04893 0.0188181i
\(477\) −1.69490 + 8.52084i −0.0776041 + 0.390142i
\(478\) 20.9132 + 13.8353i 0.956546 + 0.632810i
\(479\) 10.9910i 0.502189i 0.967963 + 0.251095i \(0.0807906\pi\)
−0.967963 + 0.251095i \(0.919209\pi\)
\(480\) −4.43194 19.8835i −0.202289 0.907555i
\(481\) 3.62827i 0.165435i
\(482\) 18.4526 27.8926i 0.840491 1.27047i
\(483\) 5.86702 29.4955i 0.266959 1.34209i
\(484\) −7.39371 + 7.53078i −0.336078 + 0.342308i
\(485\) 0.557838 + 0.372735i 0.0253301 + 0.0169250i
\(486\) 1.00458 + 0.995397i 0.0455687 + 0.0451521i
\(487\) 9.45014 + 22.8147i 0.428227 + 1.03383i 0.979849 + 0.199737i \(0.0640089\pi\)
−0.551623 + 0.834094i \(0.685991\pi\)
\(488\) −22.9003 + 9.85738i −1.03665 + 0.446223i
\(489\) −2.84543 + 6.86947i −0.128675 + 0.310648i
\(490\) 22.0419 + 52.5303i 0.995752 + 2.37308i
\(491\) −8.69167 + 1.72888i −0.392249 + 0.0780233i −0.387275 0.921964i \(-0.626583\pi\)
−0.00497467 + 0.999988i \(0.501583\pi\)
\(492\) −0.444949 + 2.34948i −0.0200598 + 0.105923i
\(493\) 25.3780 16.9570i 1.14297 0.763706i
\(494\) 1.83844 + 0.356921i 0.0827155 + 0.0160586i
\(495\) −10.2735 10.2735i −0.461758 0.461758i
\(496\) 7.10790 + 6.85146i 0.319154 + 0.307640i
\(497\) 32.7482 32.7482i 1.46896 1.46896i
\(498\) 5.80057 3.91446i 0.259930 0.175411i
\(499\) −14.4306 21.5969i −0.646002 0.966810i −0.999508 0.0313774i \(-0.990011\pi\)
0.353506 0.935432i \(-0.384989\pi\)
\(500\) −20.9314 + 4.36374i −0.936082 + 0.195152i
\(501\) 3.71655 + 18.6843i 0.166043 + 0.834755i
\(502\) 4.10437 10.0390i 0.183187 0.448061i
\(503\) 32.1398 + 13.3127i 1.43304 + 0.593585i 0.958101 0.286432i \(-0.0924692\pi\)
0.474942 + 0.880017i \(0.342469\pi\)
\(504\) 9.93571 6.83867i 0.442572 0.304618i
\(505\) −34.3727 + 14.2376i −1.52956 + 0.633566i
\(506\) 40.2358 0.184766i 1.78870 0.00821384i
\(507\) −6.75794 + 10.1140i −0.300131 + 0.449177i
\(508\) 4.90091 2.08296i 0.217443 0.0924164i
\(509\) 2.06009 + 0.409778i 0.0913120 + 0.0181631i 0.240535 0.970641i \(-0.422677\pi\)
−0.149223 + 0.988804i \(0.547677\pi\)
\(510\) −26.1570 + 5.32793i −1.15825 + 0.235925i
\(511\) −57.9305 −2.56269
\(512\) 5.32755 + 21.9913i 0.235447 + 0.971887i
\(513\) −1.44830 −0.0639440
\(514\) −26.8979 + 5.47885i −1.18642 + 0.241662i
\(515\) 16.1515 + 3.21273i 0.711719 + 0.141570i
\(516\) −12.5500 + 5.33394i −0.552484 + 0.234814i
\(517\) 7.80722 11.6843i 0.343361 0.513876i
\(518\) −23.9312 + 0.109894i −1.05148 + 0.00482846i
\(519\) −16.7995 + 6.95856i −0.737414 + 0.305447i
\(520\) 7.67171 5.28038i 0.336427 0.231560i
\(521\) 37.9511 + 15.7199i 1.66267 + 0.688700i 0.998277 0.0586829i \(-0.0186901\pi\)
0.664393 + 0.747383i \(0.268690\pi\)
\(522\) 3.11649 7.62270i 0.136405 0.333636i
\(523\) 0.702666 + 3.53254i 0.0307254 + 0.154467i 0.993102 0.117251i \(-0.0374082\pi\)
−0.962377 + 0.271718i \(0.912408\pi\)
\(524\) 4.12436 0.859836i 0.180173 0.0375621i
\(525\) −18.8794 28.2551i −0.823967 1.23315i
\(526\) 8.47021 5.71605i 0.369319 0.249231i
\(527\) 9.14749 9.14749i 0.398471 0.398471i
\(528\) 11.6188 + 11.1996i 0.505645 + 0.487402i
\(529\) −18.9022 18.9022i −0.821835 0.821835i
\(530\) −43.4347 8.43254i −1.88668 0.366286i
\(531\) 5.22519 3.49136i 0.226754 0.151512i
\(532\) −2.29848 + 12.1367i −0.0996517 + 0.526194i
\(533\) −1.07221 + 0.213275i −0.0464424 + 0.00923796i
\(534\) −3.27405 7.80272i −0.141682 0.337657i
\(535\) 23.4003 56.4933i 1.01168 2.44242i
\(536\) −0.864236 + 0.372008i −0.0373293 + 0.0160683i
\(537\) −5.18126 12.5087i −0.223588 0.539789i
\(538\) 5.27508 + 5.22685i 0.227425 + 0.225346i
\(539\) −37.5228 25.0719i −1.61622 1.07992i
\(540\) −5.04588 + 5.13943i −0.217140 + 0.221166i
\(541\) 5.44456 27.3716i 0.234080 1.17680i −0.667642 0.744482i \(-0.732696\pi\)
0.901722 0.432316i \(-0.142304\pi\)
\(542\) 17.2517 26.0774i 0.741024 1.12012i
\(543\) 19.2543i 0.826282i
\(544\) 28.9400 6.45058i 1.24079 0.276566i
\(545\) 35.7088i 1.52960i
\(546\) 4.59900 + 3.04250i 0.196819 + 0.130207i
\(547\) 6.57952 33.0775i 0.281320 1.41429i −0.538961 0.842331i \(-0.681183\pi\)
0.820281 0.571961i \(-0.193817\pi\)
\(548\) −28.3493 + 0.260370i −1.21102 + 0.0111224i
\(549\) 7.32917 + 4.89719i 0.312801 + 0.209007i
\(550\) 32.0012 32.2965i 1.36454 1.37713i
\(551\) 3.22742 + 7.79168i 0.137493 + 0.331937i
\(552\) −0.274774 19.9444i −0.0116952 0.848889i
\(553\) 8.63588 20.8489i 0.367235 0.886584i
\(554\) 6.02237 2.52701i 0.255866 0.107362i
\(555\) 14.0156 2.78787i 0.594927 0.118338i
\(556\) −15.1806 22.2737i −0.643800 0.944617i
\(557\) −32.4174 + 21.6606i −1.37357 + 0.917791i −0.999952 0.00979179i \(-0.996883\pi\)
−0.373619 + 0.927582i \(0.621883\pi\)
\(558\) 0.665222 3.42645i 0.0281611 0.145053i
\(559\) −4.40828 4.40828i −0.186450 0.186450i
\(560\) 35.0604 + 50.4408i 1.48157 + 2.13151i
\(561\) 14.9528 14.9528i 0.631308 0.631308i
\(562\) −9.13035 13.5296i −0.385141 0.570713i
\(563\) 9.23380 + 13.8194i 0.389158 + 0.582416i 0.973386 0.229174i \(-0.0736024\pi\)
−0.584227 + 0.811590i \(0.698602\pi\)
\(564\) −5.82757 3.81691i −0.245385 0.160721i
\(565\) −0.0137028 0.0688888i −0.000576483 0.00289817i
\(566\) −4.92446 2.01333i −0.206990 0.0846267i
\(567\) −3.93986 1.63194i −0.165458 0.0685351i
\(568\) 16.7121 25.7731i 0.701225 1.08142i
\(569\) −41.8582 + 17.3382i −1.75479 + 0.726857i −0.757534 + 0.652796i \(0.773596\pi\)
−0.997254 + 0.0740609i \(0.976404\pi\)
\(570\) −0.0338708 7.37592i −0.00141869 0.308943i
\(571\) 6.11301 9.14877i 0.255822 0.382864i −0.681222 0.732077i \(-0.738551\pi\)
0.937043 + 0.349213i \(0.113551\pi\)
\(572\) −2.76064 + 6.84183i −0.115428 + 0.286071i
\(573\) 2.59671 + 0.516517i 0.108479 + 0.0215778i
\(574\) −1.43918 7.06554i −0.0600704 0.294910i
\(575\) −56.1956 −2.34352
\(576\) 5.49887 5.81055i 0.229119 0.242106i
\(577\) −15.5979 −0.649351 −0.324675 0.945826i \(-0.605255\pi\)
−0.324675 + 0.945826i \(0.605255\pi\)
\(578\) −2.95617 14.5130i −0.122960 0.603663i
\(579\) 19.6363 + 3.90589i 0.816055 + 0.162323i
\(580\) 38.8939 + 15.6935i 1.61498 + 0.651635i
\(581\) −11.7234 + 17.5453i −0.486367 + 0.727900i
\(582\) 0.00120986 + 0.263466i 5.01502e−5 + 0.0109210i
\(583\) 32.3824 13.4132i 1.34114 0.555518i
\(584\) −37.5775 + 8.01430i −1.55497 + 0.331634i
\(585\) −3.04210 1.26008i −0.125776 0.0520979i
\(586\) −6.78874 2.77554i −0.280440 0.114656i
\(587\) 2.33564 + 11.7421i 0.0964022 + 0.484647i 0.998580 + 0.0532814i \(0.0169680\pi\)
−0.902177 + 0.431365i \(0.858032\pi\)
\(588\) −12.2575 + 18.7145i −0.505492 + 0.771774i
\(589\) 1.98592 + 2.97214i 0.0818283 + 0.122465i
\(590\) 17.9031 + 26.5293i 0.737057 + 1.09219i
\(591\) 9.01935 9.01935i 0.371007 0.371007i
\(592\) −15.5081 + 3.38201i −0.637380 + 0.139000i
\(593\) 1.27547 + 1.27547i 0.0523774 + 0.0523774i 0.732810 0.680433i \(-0.238208\pi\)
−0.680433 + 0.732810i \(0.738208\pi\)
\(594\) 1.08740 5.60100i 0.0446164 0.229812i
\(595\) 66.9286 44.7203i 2.74381 1.83335i
\(596\) −17.5447 + 11.9575i −0.718657 + 0.489798i
\(597\) −17.2016 + 3.42162i −0.704016 + 0.140037i
\(598\) 8.40866 3.52831i 0.343856 0.144283i
\(599\) −5.48447 + 13.2407i −0.224089 + 0.540999i −0.995438 0.0954137i \(-0.969583\pi\)
0.771348 + 0.636413i \(0.219583\pi\)
\(600\) −16.1553 15.7163i −0.659539 0.641613i
\(601\) −11.4101 27.5465i −0.465429 1.12365i −0.966137 0.258029i \(-0.916927\pi\)
0.500708 0.865616i \(-0.333073\pi\)
\(602\) 28.9424 29.2094i 1.17960 1.19049i
\(603\) 0.276595 + 0.184815i 0.0112638 + 0.00752626i
\(604\) 0.265497 + 28.9075i 0.0108029 + 1.17623i
\(605\) −3.70729 + 18.6378i −0.150723 + 0.757734i
\(606\) −12.1853 8.06130i −0.494996 0.327468i
\(607\) 36.8155i 1.49430i −0.664658 0.747148i \(-0.731423\pi\)
0.664658 0.747148i \(-0.268577\pi\)
\(608\) 0.188093 + 8.19066i 0.00762816 + 0.332175i
\(609\) 24.8326i 1.00627i
\(610\) −24.7691 + 37.4406i −1.00287 + 1.51593i
\(611\) 0.621326 3.12362i 0.0251362 0.126368i
\(612\) −7.48032 7.34417i −0.302374 0.296870i
\(613\) −35.4697 23.7001i −1.43261 0.957239i −0.998407 0.0564236i \(-0.982030\pi\)
−0.434202 0.900815i \(-0.642970\pi\)
\(614\) −6.54310 6.48328i −0.264058 0.261644i
\(615\) 1.64771 + 3.97792i 0.0664420 + 0.160405i
\(616\) −45.2106 18.0013i −1.82159 0.725291i
\(617\) 6.16351 14.8800i 0.248134 0.599048i −0.749912 0.661538i \(-0.769904\pi\)
0.998046 + 0.0624900i \(0.0199042\pi\)
\(618\) 2.50224 + 5.96334i 0.100655 + 0.239881i
\(619\) −30.5691 + 6.08056i −1.22867 + 0.244399i −0.766415 0.642346i \(-0.777961\pi\)
−0.462260 + 0.886745i \(0.652961\pi\)
\(620\) 17.4658 + 3.30772i 0.701445 + 0.132841i
\(621\) −5.86359 + 3.91792i −0.235298 + 0.157221i
\(622\) −16.2985 3.16424i −0.653511 0.126874i
\(623\) 18.0425 + 18.0425i 0.722858 + 0.722858i
\(624\) 3.40412 + 1.33732i 0.136274 + 0.0535358i
\(625\) 0.950204 0.950204i 0.0380082 0.0380082i
\(626\) −30.6332 + 20.6726i −1.22435 + 0.826241i
\(627\) 3.24625 + 4.85836i 0.129643 + 0.194024i
\(628\) 3.25329 + 15.6050i 0.129821 + 0.622707i
\(629\) 4.05768 + 20.3993i 0.161790 + 0.813374i
\(630\) 8.21904 20.1031i 0.327454 0.800928i
\(631\) 8.96722 + 3.71434i 0.356979 + 0.147866i 0.553963 0.832541i \(-0.313115\pi\)
−0.196984 + 0.980407i \(0.563115\pi\)
\(632\) 2.71750 14.7187i 0.108096 0.585477i
\(633\) 5.34756 2.21503i 0.212547 0.0880397i
\(634\) −14.7963 + 0.0679456i −0.587635 + 0.00269847i
\(635\) 5.32711 7.97258i 0.211400 0.316382i
\(636\) −6.79648 15.9912i −0.269498 0.634091i
\(637\) −10.0311 1.99531i −0.397447 0.0790571i
\(638\) −32.5559 + 6.63133i −1.28890 + 0.262537i
\(639\) −10.8602 −0.429622
\(640\) 29.7206 + 27.8688i 1.17481 + 1.10161i
\(641\) 43.2577 1.70857 0.854287 0.519801i \(-0.173994\pi\)
0.854287 + 0.519801i \(0.173994\pi\)
\(642\) 23.5300 4.79283i 0.928655 0.189158i
\(643\) 2.64504 + 0.526131i 0.104310 + 0.0207486i 0.246969 0.969023i \(-0.420565\pi\)
−0.142659 + 0.989772i \(0.545565\pi\)
\(644\) 23.5265 + 55.3546i 0.927075 + 2.18128i
\(645\) −13.6414 + 20.4158i −0.537130 + 0.803871i
\(646\) 10.7355 0.0492982i 0.422382 0.00193961i
\(647\) 4.36955 1.80993i 0.171785 0.0711556i −0.295134 0.955456i \(-0.595364\pi\)
0.466918 + 0.884300i \(0.345364\pi\)
\(648\) −2.78142 0.513531i −0.109264 0.0201734i
\(649\) −23.4237 9.70243i −0.919462 0.380854i
\(650\) 3.89946 9.53778i 0.152950 0.374103i
\(651\) 2.05336 + 10.3229i 0.0804774 + 0.404587i
\(652\) −3.03500 14.5579i −0.118860 0.570132i
\(653\) −14.5186 21.7286i −0.568156 0.850305i 0.430476 0.902602i \(-0.358346\pi\)
−0.998632 + 0.0522968i \(0.983346\pi\)
\(654\) 11.6238 7.84425i 0.454528 0.306734i
\(655\) 5.36410 5.36410i 0.209593 0.209593i
\(656\) −1.91102 4.38407i −0.0746128 0.171169i
\(657\) 9.60565 + 9.60565i 0.374752 + 0.374752i
\(658\) 20.6214 + 4.00350i 0.803907 + 0.156073i
\(659\) 0.847864 0.566525i 0.0330281 0.0220687i −0.538947 0.842340i \(-0.681178\pi\)
0.571975 + 0.820271i \(0.306178\pi\)
\(660\) 28.5503 + 5.40691i 1.11132 + 0.210464i
\(661\) 6.08991 1.21136i 0.236870 0.0471164i −0.0752276 0.997166i \(-0.523968\pi\)
0.312098 + 0.950050i \(0.398968\pi\)
\(662\) 9.10518 + 21.6995i 0.353883 + 0.843373i
\(663\) 1.83402 4.42771i 0.0712274 0.171958i
\(664\) −5.17727 + 13.0029i −0.200917 + 0.504609i
\(665\) 8.51159 + 20.5488i 0.330065 + 0.796848i
\(666\) 3.98634 + 3.94989i 0.154467 + 0.153055i
\(667\) 34.1445 + 22.8146i 1.32208 + 0.883386i
\(668\) −27.1876 26.6928i −1.05192 1.03277i
\(669\) −2.15786 + 10.8483i −0.0834276 + 0.419419i
\(670\) −0.934761 + 1.41297i −0.0361130 + 0.0545879i
\(671\) 35.5626i 1.37288i
\(672\) −8.71755 + 22.4933i −0.336287 + 0.867697i
\(673\) 6.82199i 0.262968i 0.991318 + 0.131484i \(0.0419743\pi\)
−0.991318 + 0.131484i \(0.958026\pi\)
\(674\) 24.1156 + 15.9538i 0.928897 + 0.614518i
\(675\) −1.55461 + 7.81554i −0.0598369 + 0.300820i
\(676\) −0.223427 24.3269i −0.00859335 0.935650i
\(677\) −18.8825 12.6169i −0.725714 0.484907i 0.137018 0.990569i \(-0.456248\pi\)
−0.862732 + 0.505662i \(0.831248\pi\)
\(678\) 0.0194144 0.0195935i 0.000745605 0.000752485i
\(679\) −0.304032 0.733998i −0.0116677 0.0281682i
\(680\) 37.2275 38.2676i 1.42761 1.46750i
\(681\) −2.83994 + 6.85621i −0.108827 + 0.262731i
\(682\) −12.9852 + 5.44863i −0.497228 + 0.208639i
\(683\) 36.1095 7.18262i 1.38169 0.274835i 0.552366 0.833602i \(-0.313725\pi\)
0.829325 + 0.558767i \(0.188725\pi\)
\(684\) 2.39355 1.63132i 0.0915198 0.0623749i
\(685\) −42.4448 + 28.3607i −1.62173 + 1.08361i
\(686\) 4.81102 24.7808i 0.183685 0.946135i
\(687\) −20.1133 20.1133i −0.767371 0.767371i
\(688\) 14.7330 22.9511i 0.561690 0.875004i
\(689\) 5.61700 5.61700i 0.213991 0.213991i
\(690\) −20.0904 29.7705i −0.764828 1.13334i
\(691\) 5.03225 + 7.53129i 0.191436 + 0.286504i 0.914754 0.404011i \(-0.132384\pi\)
−0.723319 + 0.690514i \(0.757384\pi\)
\(692\) 19.9260 30.4225i 0.757472 1.15649i
\(693\) 3.35649 + 16.8742i 0.127503 + 0.640999i
\(694\) −0.679388 0.277763i −0.0257892 0.0105438i
\(695\) −44.8406 18.5736i −1.70090 0.704536i
\(696\) 3.43543 + 16.1081i 0.130220 + 0.610575i
\(697\) −5.78977 + 2.39820i −0.219303 + 0.0908383i
\(698\) 0.173385 + 37.7573i 0.00656271 + 1.42914i
\(699\) 0.659303 0.986717i 0.0249371 0.0373211i
\(700\) 63.0270 + 25.4310i 2.38220 + 0.961202i
\(701\) 39.6170 + 7.88032i 1.49631 + 0.297636i 0.874306 0.485375i \(-0.161317\pi\)
0.622009 + 0.783010i \(0.286317\pi\)
\(702\) −0.258089 1.26706i −0.00974094 0.0478223i
\(703\) −5.74708 −0.216755
\(704\) −31.8169 5.42221i −1.19915 0.204357i
\(705\) −12.5435 −0.472417
\(706\) 0.595855 + 2.92530i 0.0224253 + 0.110095i
\(707\) 43.2105 + 8.59511i 1.62510 + 0.323252i
\(708\) −4.70294 + 11.6555i −0.176747 + 0.438042i
\(709\) −10.3388 + 15.4731i −0.388281 + 0.581104i −0.973192 0.229994i \(-0.926129\pi\)
0.584911 + 0.811098i \(0.301129\pi\)
\(710\) −0.253983 55.3089i −0.00953180 2.07570i
\(711\) −4.88897 + 2.02508i −0.183351 + 0.0759463i
\(712\) 14.1996 + 9.20749i 0.532153 + 0.345065i
\(713\) 16.0804 + 6.66071i 0.602215 + 0.249445i
\(714\) 29.2597 + 11.9626i 1.09502 + 0.447690i
\(715\) 2.59167 + 13.0292i 0.0969229 + 0.487264i
\(716\) 22.6522 + 14.8366i 0.846553 + 0.554471i
\(717\) 9.85080 + 14.7428i 0.367885 + 0.550579i
\(718\) −21.5526 31.9373i −0.804337 1.19189i
\(719\) −22.0403 + 22.0403i −0.821965 + 0.821965i −0.986390 0.164425i \(-0.947423\pi\)
0.164425 + 0.986390i \(0.447423\pi\)
\(720\) 2.55027 14.1773i 0.0950431 0.528355i
\(721\) −13.7893 13.7893i −0.513539 0.513539i
\(722\) 4.55566 23.4655i 0.169544 0.873296i
\(723\) 19.6629 13.1384i 0.731273 0.488621i
\(724\) −21.6874 31.8209i −0.806006 1.18262i
\(725\) 45.5110 9.05271i 1.69024 0.336209i
\(726\) −6.88132 + 2.88743i −0.255390 + 0.107163i
\(727\) −13.7095 + 33.0977i −0.508458 + 1.22753i 0.436312 + 0.899795i \(0.356284\pi\)
−0.944771 + 0.327732i \(0.893716\pi\)
\(728\) −11.0276 + 0.151927i −0.408709 + 0.00563079i
\(729\) 0.382683 + 0.923880i 0.0141735 + 0.0342178i
\(730\) −48.6952 + 49.1445i −1.80229 + 1.81892i
\(731\) −29.7147 19.8548i −1.09904 0.734355i
\(732\) −17.6287 + 0.161908i −0.651575 + 0.00598429i
\(733\) 5.88351 29.5784i 0.217312 1.09250i −0.705929 0.708282i \(-0.749470\pi\)
0.923241 0.384220i \(-0.125530\pi\)
\(734\) −21.5499 14.2565i −0.795421 0.526216i
\(735\) 40.2820i 1.48582i
\(736\) 22.9188 + 32.6519i 0.844798 + 1.20356i
\(737\) 1.34210i 0.0494367i
\(738\) −0.932926 + 1.41020i −0.0343415 + 0.0519101i
\(739\) −8.19891 + 41.2187i −0.301602 + 1.51626i 0.471439 + 0.881899i \(0.343735\pi\)
−0.773041 + 0.634357i \(0.781265\pi\)
\(740\) −20.0228 + 20.3940i −0.736054 + 0.749700i
\(741\) 1.10107 + 0.735713i 0.0404489 + 0.0270271i
\(742\) 37.2185 + 36.8782i 1.36633 + 1.35384i
\(743\) −4.17592 10.0816i −0.153200 0.369857i 0.828582 0.559867i \(-0.189148\pi\)
−0.981782 + 0.190010i \(0.939148\pi\)
\(744\) 2.76005 + 6.41206i 0.101188 + 0.235077i
\(745\) −14.6301 + 35.3202i −0.536006 + 1.29403i
\(746\) −0.436569 1.04043i −0.0159839 0.0380929i
\(747\) 4.85313 0.965348i 0.177567 0.0353203i
\(748\) −7.86964 + 41.5543i −0.287743 + 1.51938i
\(749\) −60.2068 + 40.2289i −2.19991 + 1.46993i
\(750\) −14.8419 2.88144i −0.541948 0.105215i
\(751\) 9.56875 + 9.56875i 0.349169 + 0.349169i 0.859800 0.510631i \(-0.170588\pi\)
−0.510631 + 0.859800i \(0.670588\pi\)
\(752\) 13.9303 0.255902i 0.507984 0.00933180i
\(753\) 5.42279 5.42279i 0.197618 0.197618i
\(754\) −6.24153 + 4.21204i −0.227303 + 0.153393i
\(755\) 28.9192 + 43.2806i 1.05248 + 1.57514i
\(756\) 8.34943 1.74067i 0.303666 0.0633075i
\(757\) 5.47612 + 27.5303i 0.199033 + 1.00061i 0.943102 + 0.332504i \(0.107893\pi\)
−0.744069 + 0.668103i \(0.767107\pi\)
\(758\) −11.6291 + 28.4438i −0.422387 + 1.03312i
\(759\) 26.2856 + 10.8878i 0.954105 + 0.395203i
\(760\) 8.36396 + 12.1518i 0.303393 + 0.440791i
\(761\) 22.6499 9.38191i 0.821060 0.340094i 0.0677025 0.997706i \(-0.478433\pi\)
0.753357 + 0.657611i \(0.228433\pi\)
\(762\) 3.76544 0.0172912i 0.136407 0.000626394i
\(763\) −23.4926 + 35.1592i −0.850490 + 1.27285i
\(764\) −4.87327 + 2.07121i −0.176309 + 0.0749338i
\(765\) −18.5129 3.68244i −0.669335 0.133139i
\(766\) −7.45928 + 1.51938i −0.269515 + 0.0548976i
\(767\) −5.74602 −0.207477
\(768\) −2.54298 + 15.7966i −0.0917619 + 0.570011i
\(769\) −28.8978 −1.04208 −0.521040 0.853532i \(-0.674456\pi\)
−0.521040 + 0.853532i \(0.674456\pi\)
\(770\) −85.8588 + 17.4886i −3.09414 + 0.630246i
\(771\) −19.0373 3.78675i −0.685611 0.136377i
\(772\) −36.8516 + 15.6625i −1.32632 + 0.563705i
\(773\) 23.8801 35.7390i 0.858906 1.28544i −0.0980414 0.995182i \(-0.531258\pi\)
0.956947 0.290261i \(-0.0937422\pi\)
\(774\)