Properties

Label 114.2.l.a.53.2
Level $114$
Weight $2$
Character 114.53
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 53.2
Root \(1.69944 - 0.334495i\) of defining polynomial
Character \(\chi\) \(=\) 114.53
Dual form 114.2.l.a.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(0.560041 - 1.63901i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.343148 - 0.408948i) q^{5} +(1.08684 - 1.34862i) q^{6} +(-0.716507 + 1.24103i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37271 - 1.83583i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(0.560041 - 1.63901i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.343148 - 0.408948i) q^{5} +(1.08684 - 1.34862i) q^{6} +(-0.716507 + 1.24103i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37271 - 1.83583i) q^{9} +(-0.182585 - 0.501649i) q^{10} +(-1.25645 + 0.725411i) q^{11} +(1.48255 - 0.895567i) q^{12} +(2.94737 + 0.519701i) q^{13} +(-1.09775 + 0.921124i) q^{14} +(-0.862447 + 0.333396i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-1.89590 + 5.20894i) q^{17} +(-1.60173 - 2.53663i) q^{18} +(-4.35653 - 0.143752i) q^{19} -0.533844i q^{20} +(1.63278 + 1.86939i) q^{21} +(-1.42878 + 0.251933i) q^{22} +(-0.396438 + 0.472456i) q^{23} +(1.69944 - 0.334495i) q^{24} +(0.818753 - 4.64338i) q^{25} +(2.59188 + 1.49642i) q^{26} +(-4.33775 + 2.86075i) q^{27} +(-1.34659 + 0.490120i) q^{28} +(4.97822 - 1.81193i) q^{29} +(-0.924463 + 0.0183150i) q^{30} +(-4.28601 - 2.47453i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(0.485293 + 2.46559i) q^{33} +(-3.56312 + 4.24636i) q^{34} +(0.753384 - 0.132842i) q^{35} +(-0.637553 - 2.93147i) q^{36} -6.41883i q^{37} +(-4.04463 - 1.62510i) q^{38} +(2.50245 - 4.53972i) q^{39} +(0.182585 - 0.501649i) q^{40} +(1.37347 + 7.78933i) q^{41} +(0.894945 + 2.31510i) q^{42} +(4.88757 - 4.10116i) q^{43} +(-1.42878 - 0.251933i) q^{44} +(0.0634325 + 1.60027i) q^{45} +(-0.534119 + 0.308374i) q^{46} +(-4.37381 - 12.0169i) q^{47} +(1.71136 + 0.266922i) q^{48} +(2.47323 + 4.28377i) q^{49} +(2.35751 - 4.08332i) q^{50} +(7.47572 + 6.02462i) q^{51} +(1.92376 + 2.29265i) q^{52} +(1.41439 + 1.18682i) q^{53} +(-5.05459 + 1.20463i) q^{54} +(0.727804 + 0.264899i) q^{55} -1.43301 q^{56} +(-2.67545 + 7.05989i) q^{57} +5.29771 q^{58} +(1.75650 + 0.639313i) q^{59} +(-0.874975 - 0.298975i) q^{60} +(9.02625 + 7.57392i) q^{61} +(-3.18119 - 3.79120i) q^{62} +(3.97837 - 1.62921i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.798855 - 1.38366i) q^{65} +(-0.387256 + 2.48288i) q^{66} +(3.17216 + 8.71543i) q^{67} +(-4.80058 + 2.77162i) q^{68} +(0.552339 + 0.914360i) q^{69} +(0.753384 + 0.132842i) q^{70} +(9.59384 - 8.05019i) q^{71} +(0.403519 - 2.97274i) q^{72} +(-2.80621 - 15.9148i) q^{73} +(2.19537 - 6.03173i) q^{74} +(-7.15201 - 3.94243i) q^{75} +(-3.24489 - 2.91044i) q^{76} -2.07905i q^{77} +(3.90420 - 3.41005i) q^{78} +(-7.87896 + 1.38927i) q^{79} +(0.343148 - 0.408948i) q^{80} +(2.25948 + 8.71176i) q^{81} +(-1.37347 + 7.78933i) q^{82} +(-4.29627 - 2.48045i) q^{83} +(0.0491635 + 2.48157i) q^{84} +(2.78076 - 1.01211i) q^{85} +(5.99550 - 2.18218i) q^{86} +(-0.181753 - 9.17411i) q^{87} +(-1.25645 - 0.725411i) q^{88} +(0.832120 - 4.71919i) q^{89} +(-0.487719 + 1.52546i) q^{90} +(-2.75678 + 3.28540i) q^{91} +(-0.607378 + 0.107097i) q^{92} +(-6.45612 + 5.63897i) q^{93} -12.7882i q^{94} +(1.43615 + 1.83092i) q^{95} +(1.51686 + 0.836144i) q^{96} +(-2.83601 + 7.79188i) q^{97} +(0.858945 + 4.87132i) q^{98} +(4.31291 + 0.585434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{6} + 9 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 3 q^{6} + 9 q^{8} - 12 q^{13} + 12 q^{14} - 24 q^{15} - 6 q^{17} - 6 q^{19} - 24 q^{22} - 18 q^{25} - 18 q^{26} - 3 q^{27} + 6 q^{28} + 6 q^{29} - 27 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} - 3 q^{38} + 6 q^{39} - 3 q^{41} - 6 q^{43} - 24 q^{44} + 54 q^{45} + 18 q^{46} - 30 q^{47} + 6 q^{48} + 21 q^{49} - 3 q^{50} - 33 q^{51} - 6 q^{52} + 60 q^{53} + 30 q^{55} + 12 q^{57} + 12 q^{58} - 3 q^{59} + 18 q^{60} + 54 q^{61} - 6 q^{62} + 84 q^{63} - 9 q^{64} - 24 q^{65} + 30 q^{66} - 15 q^{67} + 27 q^{68} + 24 q^{69} + 24 q^{70} - 36 q^{71} - 42 q^{73} - 6 q^{74} - 18 q^{78} - 6 q^{79} + 3 q^{82} - 36 q^{83} - 24 q^{84} + 6 q^{86} - 54 q^{87} + 60 q^{89} - 12 q^{90} - 18 q^{91} - 84 q^{93} - 6 q^{95} + 9 q^{97} - 12 q^{98} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 0.560041 1.63901i 0.323340 0.946283i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.343148 0.408948i −0.153461 0.182887i 0.683837 0.729635i \(-0.260310\pi\)
−0.837297 + 0.546748i \(0.815866\pi\)
\(6\) 1.08684 1.34862i 0.443701 0.550572i
\(7\) −0.716507 + 1.24103i −0.270814 + 0.469064i −0.969071 0.246784i \(-0.920626\pi\)
0.698256 + 0.715848i \(0.253960\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −2.37271 1.83583i −0.790902 0.611942i
\(10\) −0.182585 0.501649i −0.0577386 0.158635i
\(11\) −1.25645 + 0.725411i −0.378834 + 0.218720i −0.677311 0.735697i \(-0.736855\pi\)
0.298477 + 0.954417i \(0.403521\pi\)
\(12\) 1.48255 0.895567i 0.427976 0.258528i
\(13\) 2.94737 + 0.519701i 0.817454 + 0.144139i 0.566713 0.823915i \(-0.308215\pi\)
0.250741 + 0.968054i \(0.419326\pi\)
\(14\) −1.09775 + 0.921124i −0.293387 + 0.246181i
\(15\) −0.862447 + 0.333396i −0.222683 + 0.0860824i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −1.89590 + 5.20894i −0.459823 + 1.26335i 0.465795 + 0.884893i \(0.345768\pi\)
−0.925618 + 0.378460i \(0.876454\pi\)
\(18\) −1.60173 2.53663i −0.377530 0.597889i
\(19\) −4.35653 0.143752i −0.999456 0.0329790i
\(20\) 0.533844i 0.119371i
\(21\) 1.63278 + 1.86939i 0.356302 + 0.407934i
\(22\) −1.42878 + 0.251933i −0.304617 + 0.0537122i
\(23\) −0.396438 + 0.472456i −0.0826630 + 0.0985139i −0.805791 0.592200i \(-0.798259\pi\)
0.723128 + 0.690714i \(0.242704\pi\)
\(24\) 1.69944 0.334495i 0.346898 0.0682785i
\(25\) 0.818753 4.64338i 0.163751 0.928676i
\(26\) 2.59188 + 1.49642i 0.508309 + 0.293472i
\(27\) −4.33775 + 2.86075i −0.834801 + 0.550552i
\(28\) −1.34659 + 0.490120i −0.254482 + 0.0926240i
\(29\) 4.97822 1.81193i 0.924433 0.336466i 0.164432 0.986388i \(-0.447421\pi\)
0.760001 + 0.649922i \(0.225199\pi\)
\(30\) −0.924463 + 0.0183150i −0.168783 + 0.00334384i
\(31\) −4.28601 2.47453i −0.769790 0.444439i 0.0630096 0.998013i \(-0.479930\pi\)
−0.832800 + 0.553574i \(0.813263\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) 0.485293 + 2.46559i 0.0844786 + 0.429204i
\(34\) −3.56312 + 4.24636i −0.611071 + 0.728245i
\(35\) 0.753384 0.132842i 0.127345 0.0224544i
\(36\) −0.637553 2.93147i −0.106259 0.488579i
\(37\) 6.41883i 1.05525i −0.849478 0.527625i \(-0.823083\pi\)
0.849478 0.527625i \(-0.176917\pi\)
\(38\) −4.04463 1.62510i −0.656126 0.263627i
\(39\) 2.50245 4.53972i 0.400712 0.726937i
\(40\) 0.182585 0.501649i 0.0288693 0.0793177i
\(41\) 1.37347 + 7.78933i 0.214500 + 1.21649i 0.881772 + 0.471675i \(0.156350\pi\)
−0.667273 + 0.744814i \(0.732538\pi\)
\(42\) 0.894945 + 2.31510i 0.138093 + 0.357227i
\(43\) 4.88757 4.10116i 0.745348 0.625421i −0.188920 0.981992i \(-0.560499\pi\)
0.934268 + 0.356571i \(0.116054\pi\)
\(44\) −1.42878 0.251933i −0.215397 0.0379803i
\(45\) 0.0634325 + 1.60027i 0.00945596 + 0.238555i
\(46\) −0.534119 + 0.308374i −0.0787516 + 0.0454672i
\(47\) −4.37381 12.0169i −0.637985 1.75285i −0.657963 0.753050i \(-0.728582\pi\)
0.0199780 0.999800i \(-0.493640\pi\)
\(48\) 1.71136 + 0.266922i 0.247014 + 0.0385269i
\(49\) 2.47323 + 4.28377i 0.353319 + 0.611967i
\(50\) 2.35751 4.08332i 0.333402 0.577469i
\(51\) 7.47572 + 6.02462i 1.04681 + 0.843615i
\(52\) 1.92376 + 2.29265i 0.266778 + 0.317933i
\(53\) 1.41439 + 1.18682i 0.194282 + 0.163022i 0.734739 0.678349i \(-0.237304\pi\)
−0.540458 + 0.841371i \(0.681749\pi\)
\(54\) −5.05459 + 1.20463i −0.687842 + 0.163929i
\(55\) 0.727804 + 0.264899i 0.0981370 + 0.0357190i
\(56\) −1.43301 −0.191495
\(57\) −2.67545 + 7.05989i −0.354372 + 0.935105i
\(58\) 5.29771 0.695624
\(59\) 1.75650 + 0.639313i 0.228676 + 0.0832314i 0.453817 0.891095i \(-0.350062\pi\)
−0.225141 + 0.974326i \(0.572284\pi\)
\(60\) −0.874975 0.298975i −0.112959 0.0385975i
\(61\) 9.02625 + 7.57392i 1.15569 + 0.969742i 0.999837 0.0180382i \(-0.00574206\pi\)
0.155856 + 0.987780i \(0.450186\pi\)
\(62\) −3.18119 3.79120i −0.404012 0.481483i
\(63\) 3.97837 1.62921i 0.501228 0.205261i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.798855 1.38366i −0.0990857 0.171622i
\(66\) −0.387256 + 2.48288i −0.0476679 + 0.305621i
\(67\) 3.17216 + 8.71543i 0.387541 + 1.06476i 0.968105 + 0.250545i \(0.0806099\pi\)
−0.580564 + 0.814215i \(0.697168\pi\)
\(68\) −4.80058 + 2.77162i −0.582156 + 0.336108i
\(69\) 0.552339 + 0.914360i 0.0664938 + 0.110076i
\(70\) 0.753384 + 0.132842i 0.0900466 + 0.0158776i
\(71\) 9.59384 8.05019i 1.13858 0.955382i 0.139188 0.990266i \(-0.455551\pi\)
0.999391 + 0.0348843i \(0.0111063\pi\)
\(72\) 0.403519 2.97274i 0.0475551 0.350341i
\(73\) −2.80621 15.9148i −0.328442 1.86269i −0.484294 0.874905i \(-0.660923\pi\)
0.155852 0.987780i \(-0.450188\pi\)
\(74\) 2.19537 6.03173i 0.255207 0.701174i
\(75\) −7.15201 3.94243i −0.825843 0.455232i
\(76\) −3.24489 2.91044i −0.372215 0.333851i
\(77\) 2.07905i 0.236930i
\(78\) 3.90420 3.41005i 0.442064 0.386112i
\(79\) −7.87896 + 1.38927i −0.886452 + 0.156305i −0.598293 0.801277i \(-0.704154\pi\)
−0.288159 + 0.957583i \(0.593043\pi\)
\(80\) 0.343148 0.408948i 0.0383651 0.0457218i
\(81\) 2.25948 + 8.71176i 0.251053 + 0.967973i
\(82\) −1.37347 + 7.78933i −0.151674 + 0.860187i
\(83\) −4.29627 2.48045i −0.471577 0.272265i 0.245323 0.969442i \(-0.421106\pi\)
−0.716900 + 0.697176i \(0.754439\pi\)
\(84\) 0.0491635 + 2.48157i 0.00536418 + 0.270761i
\(85\) 2.78076 1.01211i 0.301616 0.109779i
\(86\) 5.99550 2.18218i 0.646511 0.235311i
\(87\) −0.181753 9.17411i −0.0194859 0.983568i
\(88\) −1.25645 0.725411i −0.133938 0.0773291i
\(89\) 0.832120 4.71919i 0.0882046 0.500233i −0.908414 0.418071i \(-0.862706\pi\)
0.996619 0.0821621i \(-0.0261825\pi\)
\(90\) −0.487719 + 1.52546i −0.0514101 + 0.160798i
\(91\) −2.75678 + 3.28540i −0.288989 + 0.344403i
\(92\) −0.607378 + 0.107097i −0.0633235 + 0.0111656i
\(93\) −6.45612 + 5.63897i −0.669468 + 0.584734i
\(94\) 12.7882i 1.31900i
\(95\) 1.43615 + 1.83092i 0.147346 + 0.187849i
\(96\) 1.51686 + 0.836144i 0.154814 + 0.0853386i
\(97\) −2.83601 + 7.79188i −0.287954 + 0.791146i 0.708399 + 0.705812i \(0.249418\pi\)
−0.996352 + 0.0853335i \(0.972804\pi\)
\(98\) 0.858945 + 4.87132i 0.0867666 + 0.492078i
\(99\) 4.31291 + 0.585434i 0.433464 + 0.0588383i
\(100\) 3.61191 3.03075i 0.361191 0.303075i
\(101\) −3.10192 0.546953i −0.308653 0.0544238i 0.0171763 0.999852i \(-0.494532\pi\)
−0.325829 + 0.945429i \(0.605643\pi\)
\(102\) 4.96434 + 8.21813i 0.491543 + 0.813716i
\(103\) −8.85438 + 5.11208i −0.872448 + 0.503708i −0.868161 0.496282i \(-0.834698\pi\)
−0.00428731 + 0.999991i \(0.501365\pi\)
\(104\) 1.02361 + 2.81235i 0.100373 + 0.275774i
\(105\) 0.204197 1.30920i 0.0199276 0.127765i
\(106\) 0.923180 + 1.59899i 0.0896672 + 0.155308i
\(107\) −5.80970 + 10.0627i −0.561645 + 0.972798i 0.435708 + 0.900088i \(0.356498\pi\)
−0.997353 + 0.0727101i \(0.976835\pi\)
\(108\) −5.16177 0.596790i −0.496691 0.0574261i
\(109\) −0.0205152 0.0244490i −0.00196500 0.00234179i 0.765061 0.643958i \(-0.222709\pi\)
−0.767026 + 0.641616i \(0.778264\pi\)
\(110\) 0.593311 + 0.497847i 0.0565700 + 0.0474678i
\(111\) −10.5205 3.59481i −0.998565 0.341204i
\(112\) −1.34659 0.490120i −0.127241 0.0463120i
\(113\) −10.3475 −0.973413 −0.486706 0.873566i \(-0.661802\pi\)
−0.486706 + 0.873566i \(0.661802\pi\)
\(114\) −4.92872 + 5.71907i −0.461617 + 0.535640i
\(115\) 0.329247 0.0307024
\(116\) 4.97822 + 1.81193i 0.462216 + 0.168233i
\(117\) −6.03917 6.64396i −0.558321 0.614235i
\(118\) 1.43191 + 1.20152i 0.131818 + 0.110608i
\(119\) −5.10601 6.08510i −0.468067 0.557820i
\(120\) −0.719953 0.580203i −0.0657224 0.0529651i
\(121\) −4.44756 + 7.70340i −0.404323 + 0.700309i
\(122\) 5.89147 + 10.2043i 0.533388 + 0.923856i
\(123\) 13.5360 + 2.11122i 1.22050 + 0.190362i
\(124\) −1.69268 4.65059i −0.152007 0.417636i
\(125\) −4.49147 + 2.59315i −0.401729 + 0.231938i
\(126\) 4.29567 0.170274i 0.382689 0.0151692i
\(127\) −0.772141 0.136149i −0.0685165 0.0120813i 0.139285 0.990252i \(-0.455520\pi\)
−0.207801 + 0.978171i \(0.566631\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) −3.98460 10.3076i −0.350825 0.907534i
\(130\) −0.277439 1.57344i −0.0243330 0.138000i
\(131\) −3.93973 + 10.8243i −0.344216 + 0.945726i 0.639941 + 0.768424i \(0.278959\pi\)
−0.984157 + 0.177301i \(0.943263\pi\)
\(132\) −1.21310 + 2.20069i −0.105586 + 0.191546i
\(133\) 3.29988 5.30357i 0.286136 0.459878i
\(134\) 9.27477i 0.801218i
\(135\) 2.65839 + 0.792254i 0.228798 + 0.0681863i
\(136\) −5.45902 + 0.962573i −0.468107 + 0.0825399i
\(137\) 8.70595 10.3754i 0.743800 0.886426i −0.252909 0.967490i \(-0.581387\pi\)
0.996709 + 0.0810638i \(0.0258318\pi\)
\(138\) 0.206299 + 1.04813i 0.0175613 + 0.0892226i
\(139\) −1.25656 + 7.12628i −0.106580 + 0.604444i 0.883998 + 0.467491i \(0.154842\pi\)
−0.990578 + 0.136953i \(0.956269\pi\)
\(140\) 0.662515 + 0.382503i 0.0559927 + 0.0323274i
\(141\) −22.1454 + 0.438733i −1.86498 + 0.0369480i
\(142\) 11.7686 4.28342i 0.987598 0.359456i
\(143\) −4.08022 + 1.48508i −0.341205 + 0.124188i
\(144\) 1.39592 2.65545i 0.116327 0.221287i
\(145\) −2.44925 1.41408i −0.203399 0.117433i
\(146\) 2.80621 15.9148i 0.232243 1.31712i
\(147\) 8.40625 1.65457i 0.693336 0.136467i
\(148\) 4.12595 4.91711i 0.339151 0.404184i
\(149\) 19.4195 3.42419i 1.59091 0.280520i 0.693079 0.720861i \(-0.256254\pi\)
0.897831 + 0.440341i \(0.145142\pi\)
\(150\) −5.37230 6.15080i −0.438646 0.502211i
\(151\) 4.23079i 0.344297i 0.985071 + 0.172148i \(0.0550709\pi\)
−0.985071 + 0.172148i \(0.944929\pi\)
\(152\) −2.05377 3.84474i −0.166583 0.311850i
\(153\) 14.0611 8.87874i 1.13677 0.717804i
\(154\) 0.711077 1.95367i 0.0573002 0.157431i
\(155\) 0.458783 + 2.60189i 0.0368503 + 0.208989i
\(156\) 4.83506 1.86908i 0.387115 0.149647i
\(157\) 7.78482 6.53224i 0.621296 0.521330i −0.276914 0.960895i \(-0.589312\pi\)
0.898211 + 0.439565i \(0.144867\pi\)
\(158\) −7.87896 1.38927i −0.626817 0.110525i
\(159\) 2.73732 1.65354i 0.217084 0.131134i
\(160\) 0.462322 0.266922i 0.0365498 0.0211020i
\(161\) −0.302280 0.830508i −0.0238230 0.0654532i
\(162\) −0.856379 + 8.95916i −0.0672835 + 0.703898i
\(163\) −5.20216 9.01041i −0.407465 0.705750i 0.587140 0.809485i \(-0.300254\pi\)
−0.994605 + 0.103735i \(0.966920\pi\)
\(164\) −3.95475 + 6.84982i −0.308814 + 0.534881i
\(165\) 0.841772 1.04452i 0.0655319 0.0813160i
\(166\) −3.18881 3.80028i −0.247500 0.294959i
\(167\) 18.2265 + 15.2939i 1.41041 + 1.18347i 0.956249 + 0.292555i \(0.0945056\pi\)
0.454162 + 0.890919i \(0.349939\pi\)
\(168\) −0.802548 + 2.34873i −0.0619179 + 0.181208i
\(169\) −3.79909 1.38276i −0.292238 0.106366i
\(170\) 2.95922 0.226962
\(171\) 10.0729 + 8.33891i 0.770291 + 0.637692i
\(172\) 6.38027 0.486491
\(173\) −23.5435 8.56912i −1.78998 0.651498i −0.999225 0.0393612i \(-0.987468\pi\)
−0.790752 0.612137i \(-0.790310\pi\)
\(174\) 2.96694 8.68301i 0.224923 0.658257i
\(175\) 5.17592 + 4.34311i 0.391263 + 0.328308i
\(176\) −0.932570 1.11139i −0.0702951 0.0837745i
\(177\) 2.03155 2.52088i 0.152701 0.189481i
\(178\) 2.39599 4.14998i 0.179587 0.311054i
\(179\) 7.77173 + 13.4610i 0.580886 + 1.00612i 0.995375 + 0.0960699i \(0.0306272\pi\)
−0.414488 + 0.910055i \(0.636039\pi\)
\(180\) −0.980045 + 1.26666i −0.0730482 + 0.0944109i
\(181\) 7.17064 + 19.7012i 0.532990 + 1.46438i 0.855496 + 0.517810i \(0.173252\pi\)
−0.322506 + 0.946567i \(0.604525\pi\)
\(182\) −3.71420 + 2.14439i −0.275315 + 0.158953i
\(183\) 17.4688 10.5524i 1.29133 0.780056i
\(184\) −0.607378 0.107097i −0.0447765 0.00789530i
\(185\) −2.62497 + 2.20261i −0.192992 + 0.161939i
\(186\) −7.99541 + 3.09078i −0.586252 + 0.226627i
\(187\) −1.39652 7.92007i −0.102124 0.579173i
\(188\) 4.37381 12.0169i 0.318993 0.876425i
\(189\) −0.442240 7.43302i −0.0321682 0.540673i
\(190\) 0.723325 + 2.21170i 0.0524755 + 0.160453i
\(191\) 1.59398i 0.115336i −0.998336 0.0576682i \(-0.981633\pi\)
0.998336 0.0576682i \(-0.0183665\pi\)
\(192\) 1.13940 + 1.30452i 0.0822294 + 0.0941453i
\(193\) 4.28991 0.756427i 0.308795 0.0544488i −0.0171035 0.999854i \(-0.505444\pi\)
0.325898 + 0.945405i \(0.394333\pi\)
\(194\) −5.32996 + 6.35200i −0.382669 + 0.456047i
\(195\) −2.71522 + 0.534426i −0.194441 + 0.0382710i
\(196\) −0.858945 + 4.87132i −0.0613532 + 0.347951i
\(197\) 5.69700 + 3.28916i 0.405894 + 0.234343i 0.689024 0.724738i \(-0.258039\pi\)
−0.283130 + 0.959082i \(0.591373\pi\)
\(198\) 3.85258 + 2.02523i 0.273791 + 0.143927i
\(199\) 10.2412 3.72750i 0.725981 0.264235i 0.0475182 0.998870i \(-0.484869\pi\)
0.678463 + 0.734635i \(0.262647\pi\)
\(200\) 4.43066 1.61263i 0.313295 0.114030i
\(201\) 16.0612 0.318196i 1.13287 0.0224438i
\(202\) −2.72779 1.57489i −0.191926 0.110809i
\(203\) −1.31829 + 7.47637i −0.0925255 + 0.524738i
\(204\) 1.85418 + 9.42042i 0.129819 + 0.659562i
\(205\) 2.71413 3.23457i 0.189563 0.225912i
\(206\) −10.0688 + 1.77541i −0.701529 + 0.123698i
\(207\) 1.80798 0.393209i 0.125663 0.0273299i
\(208\) 2.99284i 0.207516i
\(209\) 5.57803 2.97966i 0.385841 0.206107i
\(210\) 0.639655 1.16041i 0.0441404 0.0800757i
\(211\) −2.58901 + 7.11324i −0.178235 + 0.489695i −0.996350 0.0853581i \(-0.972797\pi\)
0.818116 + 0.575054i \(0.195019\pi\)
\(212\) 0.320617 + 1.81831i 0.0220201 + 0.124882i
\(213\) −7.82139 20.2328i −0.535913 1.38633i
\(214\) −8.90098 + 7.46881i −0.608459 + 0.510558i
\(215\) −3.35432 0.591458i −0.228763 0.0403371i
\(216\) −4.64636 2.32623i −0.316145 0.158280i
\(217\) 6.14192 3.54604i 0.416940 0.240721i
\(218\) −0.0109159 0.0299912i −0.000739318 0.00203126i
\(219\) −27.6561 4.31354i −1.86883 0.291482i
\(220\) 0.387256 + 0.670747i 0.0261088 + 0.0452218i
\(221\) −8.29501 + 14.3674i −0.557983 + 0.966454i
\(222\) −8.65657 6.97625i −0.580991 0.468215i
\(223\) −7.40150 8.82076i −0.495641 0.590682i 0.459002 0.888435i \(-0.348207\pi\)
−0.954643 + 0.297753i \(0.903763\pi\)
\(224\) −1.09775 0.921124i −0.0733467 0.0615452i
\(225\) −10.4671 + 9.51429i −0.697807 + 0.634286i
\(226\) −9.72349 3.53906i −0.646797 0.235415i
\(227\) −1.54291 −0.102407 −0.0512033 0.998688i \(-0.516306\pi\)
−0.0512033 + 0.998688i \(0.516306\pi\)
\(228\) −6.58752 + 3.68844i −0.436269 + 0.244273i
\(229\) −8.17334 −0.540110 −0.270055 0.962845i \(-0.587042\pi\)
−0.270055 + 0.962845i \(0.587042\pi\)
\(230\) 0.309391 + 0.112609i 0.0204006 + 0.00742522i
\(231\) −3.40758 1.16435i −0.224202 0.0766088i
\(232\) 4.05828 + 3.40531i 0.266439 + 0.223569i
\(233\) −5.39612 6.43084i −0.353511 0.421298i 0.559757 0.828657i \(-0.310894\pi\)
−0.913268 + 0.407358i \(0.866450\pi\)
\(234\) −3.40259 8.30880i −0.222435 0.543163i
\(235\) −3.41344 + 5.91225i −0.222668 + 0.385673i
\(236\) 0.934613 + 1.61880i 0.0608381 + 0.105375i
\(237\) −2.13551 + 13.6917i −0.138716 + 0.889375i
\(238\) −2.71685 7.46448i −0.176107 0.483851i
\(239\) 7.60840 4.39271i 0.492147 0.284141i −0.233318 0.972401i \(-0.574958\pi\)
0.725465 + 0.688260i \(0.241625\pi\)
\(240\) −0.478093 0.791451i −0.0308608 0.0510880i
\(241\) −13.2349 2.33367i −0.852536 0.150325i −0.269730 0.962936i \(-0.586934\pi\)
−0.582806 + 0.812611i \(0.698045\pi\)
\(242\) −6.81405 + 5.71767i −0.438024 + 0.367546i
\(243\) 15.5441 + 1.17563i 0.997152 + 0.0754169i
\(244\) 2.04609 + 11.6039i 0.130987 + 0.742865i
\(245\) 0.903153 2.48139i 0.0577003 0.158530i
\(246\) 11.9976 + 6.61347i 0.764938 + 0.421660i
\(247\) −12.7656 2.68778i −0.812256 0.171020i
\(248\) 4.94906i 0.314265i
\(249\) −6.47158 + 5.65248i −0.410120 + 0.358211i
\(250\) −5.10751 + 0.900591i −0.323027 + 0.0569584i
\(251\) −5.05003 + 6.01839i −0.318755 + 0.379877i −0.901501 0.432777i \(-0.857534\pi\)
0.582746 + 0.812654i \(0.301978\pi\)
\(252\) 4.09485 + 1.30920i 0.257951 + 0.0824719i
\(253\) 0.155379 0.881197i 0.00976858 0.0554004i
\(254\) −0.679010 0.392026i −0.0426049 0.0245979i
\(255\) −0.101524 5.12452i −0.00635769 0.320910i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 11.5445 4.20184i 0.720123 0.262103i 0.0441451 0.999025i \(-0.485944\pi\)
0.675978 + 0.736922i \(0.263721\pi\)
\(258\) −0.218893 11.0488i −0.0136277 0.687868i
\(259\) 7.96595 + 4.59914i 0.494980 + 0.285777i
\(260\) 0.277439 1.57344i 0.0172061 0.0975804i
\(261\) −15.1382 4.83999i −0.937034 0.299588i
\(262\) −7.40427 + 8.82407i −0.457438 + 0.545153i
\(263\) 23.4707 4.13852i 1.44727 0.255192i 0.605849 0.795579i \(-0.292833\pi\)
0.841416 + 0.540387i \(0.181722\pi\)
\(264\) −1.89262 + 1.65307i −0.116483 + 0.101740i
\(265\) 0.985668i 0.0605491i
\(266\) 4.91481 3.85510i 0.301346 0.236371i
\(267\) −7.26877 4.00679i −0.444842 0.245212i
\(268\) −3.17216 + 8.71543i −0.193770 + 0.532380i
\(269\) 3.30229 + 18.7282i 0.201344 + 1.14188i 0.903090 + 0.429452i \(0.141293\pi\)
−0.701745 + 0.712428i \(0.747596\pi\)
\(270\) 2.22710 + 1.65370i 0.135537 + 0.100641i
\(271\) 4.13554 3.47013i 0.251216 0.210795i −0.508480 0.861074i \(-0.669792\pi\)
0.759696 + 0.650279i \(0.225348\pi\)
\(272\) −5.45902 0.962573i −0.331002 0.0583645i
\(273\) 3.84089 + 6.35834i 0.232461 + 0.384825i
\(274\) 11.7295 6.77203i 0.708605 0.409113i
\(275\) 2.33964 + 6.42810i 0.141085 + 0.387629i
\(276\) −0.164623 + 1.05548i −0.00990917 + 0.0635323i
\(277\) 0.0466956 + 0.0808791i 0.00280567 + 0.00485956i 0.867425 0.497568i \(-0.165774\pi\)
−0.864619 + 0.502428i \(0.832440\pi\)
\(278\) −3.61811 + 6.26675i −0.217000 + 0.375855i
\(279\) 5.62664 + 13.7397i 0.336858 + 0.822575i
\(280\) 0.491736 + 0.586029i 0.0293869 + 0.0350219i
\(281\) −7.81505 6.55760i −0.466207 0.391194i 0.379202 0.925314i \(-0.376199\pi\)
−0.845409 + 0.534120i \(0.820643\pi\)
\(282\) −20.9599 7.16190i −1.24814 0.426485i
\(283\) 18.1732 + 6.61449i 1.08028 + 0.393190i 0.820013 0.572346i \(-0.193966\pi\)
0.260269 + 0.965536i \(0.416189\pi\)
\(284\) 12.5239 0.743155
\(285\) 3.80520 1.32847i 0.225401 0.0786917i
\(286\) −4.34208 −0.256752
\(287\) −10.6509 3.87660i −0.628701 0.228828i
\(288\) 2.21995 2.01787i 0.130812 0.118904i
\(289\) −10.5158 8.82384i −0.618579 0.519049i
\(290\) −1.81790 2.16649i −0.106751 0.127221i
\(291\) 11.1827 + 9.01203i 0.655541 + 0.528295i
\(292\) 8.08015 13.9952i 0.472855 0.819009i
\(293\) −8.09268 14.0169i −0.472780 0.818878i 0.526735 0.850030i \(-0.323416\pi\)
−0.999515 + 0.0311512i \(0.990083\pi\)
\(294\) 8.46519 + 1.32032i 0.493700 + 0.0770027i
\(295\) −0.341293 0.937695i −0.0198709 0.0545947i
\(296\) 5.55887 3.20942i 0.323103 0.186544i
\(297\) 3.37494 6.74104i 0.195834 0.391155i
\(298\) 19.4195 + 3.42419i 1.12494 + 0.198358i
\(299\) −1.41399 + 1.18647i −0.0817729 + 0.0686156i
\(300\) −2.94461 7.61730i −0.170007 0.439785i
\(301\) 1.58767 + 9.00413i 0.0915118 + 0.518989i
\(302\) −1.44702 + 3.97564i −0.0832664 + 0.228772i
\(303\) −2.63367 + 4.77777i −0.151300 + 0.274476i
\(304\) −0.614935 4.31530i −0.0352689 0.247500i
\(305\) 6.29025i 0.360179i
\(306\) 16.2498 3.53410i 0.928941 0.202031i
\(307\) 17.5661 3.09738i 1.00255 0.176777i 0.351806 0.936073i \(-0.385568\pi\)
0.650745 + 0.759296i \(0.274457\pi\)
\(308\) 1.33639 1.59264i 0.0761477 0.0907493i
\(309\) 3.41993 + 17.3754i 0.194553 + 0.988452i
\(310\) −0.458783 + 2.60189i −0.0260571 + 0.147777i
\(311\) −28.3493 16.3675i −1.60754 0.928114i −0.989918 0.141639i \(-0.954763\pi\)
−0.617622 0.786475i \(-0.711904\pi\)
\(312\) 5.18273 0.102678i 0.293415 0.00581297i
\(313\) −24.8285 + 9.03684i −1.40339 + 0.510792i −0.929183 0.369621i \(-0.879488\pi\)
−0.474208 + 0.880413i \(0.657265\pi\)
\(314\) 9.54950 3.47573i 0.538909 0.196147i
\(315\) −2.03143 1.06789i −0.114458 0.0601686i
\(316\) −6.92864 4.00025i −0.389767 0.225032i
\(317\) 2.32840 13.2050i 0.130776 0.741669i −0.846932 0.531701i \(-0.821553\pi\)
0.977708 0.209968i \(-0.0673359\pi\)
\(318\) 3.13779 0.617598i 0.175958 0.0346332i
\(319\) −4.94049 + 5.88785i −0.276614 + 0.329656i
\(320\) 0.525734 0.0927010i 0.0293894 0.00518214i
\(321\) 13.2392 + 15.1577i 0.738940 + 0.846020i
\(322\) 0.883809i 0.0492527i
\(323\) 9.00833 22.4203i 0.501237 1.24750i
\(324\) −3.86895 + 8.12596i −0.214942 + 0.451442i
\(325\) 4.82634 13.2603i 0.267717 0.735547i
\(326\) −1.80669 10.2463i −0.100063 0.567488i
\(327\) −0.0515616 + 0.0199321i −0.00285136 + 0.00110225i
\(328\) −6.05902 + 5.08412i −0.334554 + 0.280724i
\(329\) 18.0472 + 3.18221i 0.994975 + 0.175441i
\(330\) 1.14825 0.693628i 0.0632093 0.0381829i
\(331\) 21.6450 12.4967i 1.18971 0.686882i 0.231473 0.972841i \(-0.425645\pi\)
0.958242 + 0.285959i \(0.0923121\pi\)
\(332\) −1.69673 4.66173i −0.0931202 0.255846i
\(333\) −11.7839 + 15.2300i −0.645752 + 0.834600i
\(334\) 11.8965 + 20.6054i 0.650948 + 1.12748i
\(335\) 2.47564 4.28793i 0.135259 0.234275i
\(336\) −1.55746 + 1.93259i −0.0849664 + 0.105432i
\(337\) 10.7174 + 12.7725i 0.583815 + 0.695764i 0.974405 0.224801i \(-0.0721732\pi\)
−0.390589 + 0.920565i \(0.627729\pi\)
\(338\) −3.09705 2.59873i −0.168457 0.141352i
\(339\) −5.79504 + 16.9597i −0.314743 + 0.921124i
\(340\) 2.78076 + 1.01211i 0.150808 + 0.0548896i
\(341\) 7.18020 0.388830
\(342\) 6.61332 + 11.2811i 0.357607 + 0.610014i
\(343\) −17.1195 −0.924364
\(344\) 5.99550 + 2.18218i 0.323256 + 0.117655i
\(345\) 0.184392 0.539639i 0.00992733 0.0290532i
\(346\) −19.1928 16.1047i −1.03181 0.865793i
\(347\) −23.0175 27.4312i −1.23564 1.47258i −0.829244 0.558886i \(-0.811229\pi\)
−0.406399 0.913696i \(-0.633216\pi\)
\(348\) 5.75777 7.14460i 0.308649 0.382991i
\(349\) 9.77902 16.9378i 0.523459 0.906657i −0.476168 0.879354i \(-0.657975\pi\)
0.999627 0.0273031i \(-0.00869193\pi\)
\(350\) 3.37834 + 5.85146i 0.180580 + 0.312774i
\(351\) −14.2717 + 6.17737i −0.761767 + 0.329723i
\(352\) −0.496210 1.36333i −0.0264481 0.0726656i
\(353\) −27.9356 + 16.1286i −1.48686 + 0.858441i −0.999888 0.0149745i \(-0.995233\pi\)
−0.486976 + 0.873416i \(0.661900\pi\)
\(354\) 2.77122 1.67402i 0.147289 0.0889730i
\(355\) −6.58422 1.16098i −0.349454 0.0616182i
\(356\) 3.67088 3.08023i 0.194556 0.163252i
\(357\) −12.8331 + 4.96089i −0.679201 + 0.262558i
\(358\) 2.69909 + 15.3073i 0.142651 + 0.809017i
\(359\) 5.99057 16.4590i 0.316170 0.868671i −0.675206 0.737629i \(-0.735945\pi\)
0.991377 0.131042i \(-0.0418323\pi\)
\(360\) −1.35416 + 0.855072i −0.0713706 + 0.0450662i
\(361\) 18.9587 + 1.25252i 0.997825 + 0.0659220i
\(362\) 20.9656i 1.10193i
\(363\) 10.1351 + 11.6038i 0.531956 + 0.609042i
\(364\) −4.22363 + 0.744740i −0.221378 + 0.0390350i
\(365\) −5.54538 + 6.60873i −0.290258 + 0.345917i
\(366\) 20.0244 3.94133i 1.04669 0.206017i
\(367\) 3.59236 20.3733i 0.187520 1.06348i −0.735155 0.677899i \(-0.762891\pi\)
0.922675 0.385578i \(-0.125998\pi\)
\(368\) −0.534119 0.308374i −0.0278429 0.0160751i
\(369\) 11.0410 21.0032i 0.574772 1.09339i
\(370\) −3.22000 + 1.17198i −0.167400 + 0.0609286i
\(371\) −2.48630 + 0.904938i −0.129082 + 0.0469820i
\(372\) −8.57034 + 0.169791i −0.444351 + 0.00880325i
\(373\) 2.46819 + 1.42501i 0.127798 + 0.0737843i 0.562536 0.826773i \(-0.309826\pi\)
−0.434738 + 0.900557i \(0.643159\pi\)
\(374\) 1.39652 7.92007i 0.0722124 0.409537i
\(375\) 1.73479 + 8.81383i 0.0895842 + 0.455144i
\(376\) 8.22007 9.79630i 0.423918 0.505205i
\(377\) 15.6143 2.75323i 0.804179 0.141798i
\(378\) 2.12667 7.13601i 0.109384 0.367037i
\(379\) 15.1648i 0.778963i 0.921034 + 0.389482i \(0.127346\pi\)
−0.921034 + 0.389482i \(0.872654\pi\)
\(380\) −0.0767411 + 2.32571i −0.00393673 + 0.119306i
\(381\) −0.655581 + 1.18930i −0.0335864 + 0.0609296i
\(382\) 0.545173 1.49785i 0.0278935 0.0766368i
\(383\) −0.366876 2.08066i −0.0187465 0.106317i 0.973999 0.226553i \(-0.0727458\pi\)
−0.992745 + 0.120237i \(0.961635\pi\)
\(384\) 0.624519 + 1.61554i 0.0318698 + 0.0824428i
\(385\) −0.850223 + 0.713422i −0.0433314 + 0.0363594i
\(386\) 4.28991 + 0.756427i 0.218351 + 0.0385011i
\(387\) −19.1258 + 0.758118i −0.972219 + 0.0385373i
\(388\) −7.18104 + 4.14597i −0.364562 + 0.210480i
\(389\) −1.43738 3.94918i −0.0728783 0.200231i 0.897905 0.440189i \(-0.145089\pi\)
−0.970783 + 0.239958i \(0.922866\pi\)
\(390\) −2.73426 0.426464i −0.138454 0.0215948i
\(391\) −1.70939 2.96075i −0.0864475 0.149731i
\(392\) −2.47323 + 4.28377i −0.124917 + 0.216363i
\(393\) 15.5348 + 12.5193i 0.783625 + 0.631517i
\(394\) 4.22847 + 5.03929i 0.213027 + 0.253876i
\(395\) 3.27179 + 2.74536i 0.164622 + 0.138134i
\(396\) 2.92757 + 3.22076i 0.147116 + 0.161849i
\(397\) 0.284948 + 0.103713i 0.0143011 + 0.00520518i 0.349161 0.937063i \(-0.386467\pi\)
−0.334860 + 0.942268i \(0.608689\pi\)
\(398\) 10.8985 0.546291
\(399\) −6.84453 8.37876i −0.342655 0.419463i
\(400\) 4.71501 0.235751
\(401\) −11.8640 4.31814i −0.592460 0.215638i 0.0283512 0.999598i \(-0.490974\pi\)
−0.620811 + 0.783960i \(0.713197\pi\)
\(402\) 15.2014 + 5.19426i 0.758179 + 0.259066i
\(403\) −11.3464 9.52080i −0.565207 0.474265i
\(404\) −2.02464 2.41287i −0.100729 0.120045i
\(405\) 2.78732 3.91344i 0.138503 0.194460i
\(406\) −3.79585 + 6.57461i −0.188385 + 0.326292i
\(407\) 4.65629 + 8.06493i 0.230804 + 0.399764i
\(408\) −1.47961 + 9.48647i −0.0732517 + 0.469650i
\(409\) −6.63505 18.2296i −0.328082 0.901398i −0.988597 0.150585i \(-0.951884\pi\)
0.660515 0.750813i \(-0.270338\pi\)
\(410\) 3.65673 2.11122i 0.180593 0.104266i
\(411\) −12.1296 20.0798i −0.598310 0.990462i
\(412\) −10.0688 1.77541i −0.496056 0.0874680i
\(413\) −2.05195 + 1.72179i −0.100970 + 0.0847237i
\(414\) 1.83343 + 0.248869i 0.0901081 + 0.0122313i
\(415\) 0.459881 + 2.60812i 0.0225747 + 0.128027i
\(416\) −1.02361 + 2.81235i −0.0501867 + 0.137887i
\(417\) 10.9763 + 6.05052i 0.537513 + 0.296295i
\(418\) 6.26074 0.892161i 0.306223 0.0436370i
\(419\) 15.4879i 0.756633i 0.925676 + 0.378316i \(0.123497\pi\)
−0.925676 + 0.378316i \(0.876503\pi\)
\(420\) 0.997962 0.871651i 0.0486956 0.0425322i
\(421\) 13.7766 2.42919i 0.671431 0.118391i 0.172468 0.985015i \(-0.444826\pi\)
0.498962 + 0.866624i \(0.333715\pi\)
\(422\) −4.86574 + 5.79876i −0.236861 + 0.282279i
\(423\) −11.6832 + 36.5422i −0.568059 + 1.77674i
\(424\) −0.320617 + 1.81831i −0.0155705 + 0.0883049i
\(425\) 22.6348 + 13.0682i 1.09795 + 0.633901i
\(426\) −0.429666 21.6877i −0.0208174 1.05077i
\(427\) −15.8668 + 5.77505i −0.767849 + 0.279474i
\(428\) −10.9187 + 3.97407i −0.527774 + 0.192094i
\(429\) 0.148967 + 7.51922i 0.00719219 + 0.363032i
\(430\) −2.94974 1.70304i −0.142249 0.0821277i
\(431\) −4.86245 + 27.5763i −0.234216 + 1.32831i 0.610042 + 0.792369i \(0.291152\pi\)
−0.844258 + 0.535936i \(0.819959\pi\)
\(432\) −3.57053 3.77509i −0.171787 0.181629i
\(433\) −3.78152 + 4.50664i −0.181728 + 0.216575i −0.849216 0.528045i \(-0.822925\pi\)
0.667488 + 0.744621i \(0.267370\pi\)
\(434\) 6.98433 1.23153i 0.335259 0.0591151i
\(435\) −3.68937 + 3.22241i −0.176892 + 0.154503i
\(436\) 0.0319160i 0.00152850i
\(437\) 1.79501 2.00128i 0.0858669 0.0957342i
\(438\) −24.5129 13.5123i −1.17127 0.645645i
\(439\) 7.65568 21.0338i 0.365386 1.00389i −0.611709 0.791083i \(-0.709518\pi\)
0.977094 0.212806i \(-0.0682602\pi\)
\(440\) 0.134493 + 0.762746i 0.00641169 + 0.0363625i
\(441\) 1.99599 14.7046i 0.0950473 0.700217i
\(442\) −12.7087 + 10.6639i −0.604491 + 0.507228i
\(443\) 14.6859 + 2.58952i 0.697748 + 0.123032i 0.511261 0.859426i \(-0.329179\pi\)
0.186487 + 0.982457i \(0.440290\pi\)
\(444\) −5.74849 9.51625i −0.272811 0.451621i
\(445\) −2.21544 + 1.27909i −0.105022 + 0.0606345i
\(446\) −3.93825 10.8203i −0.186482 0.512354i
\(447\) 5.26346 33.7465i 0.248953 1.59615i
\(448\) −0.716507 1.24103i −0.0338518 0.0586330i
\(449\) −2.44541 + 4.23557i −0.115406 + 0.199889i −0.917942 0.396715i \(-0.870150\pi\)
0.802536 + 0.596604i \(0.203484\pi\)
\(450\) −13.0899 + 5.36055i −0.617066 + 0.252699i
\(451\) −7.37616 8.79056i −0.347330 0.413931i
\(452\) −7.92666 6.65126i −0.372839 0.312849i
\(453\) 6.93431 + 2.36942i 0.325802 + 0.111325i
\(454\) −1.44986 0.527706i −0.0680453 0.0247665i
\(455\) 2.28954 0.107335
\(456\) −7.45176 + 1.21294i −0.348961 + 0.0568010i
\(457\) −30.3578 −1.42008 −0.710039 0.704162i \(-0.751323\pi\)
−0.710039 + 0.704162i \(0.751323\pi\)
\(458\) −7.68043 2.79545i −0.358883 0.130623i
\(459\) −6.67754 28.0188i −0.311681 1.30780i
\(460\) 0.252218 + 0.211636i 0.0117597 + 0.00986757i
\(461\) 16.0576 + 19.1367i 0.747879 + 0.891287i 0.997017 0.0771808i \(-0.0245919\pi\)
−0.249138 + 0.968468i \(0.580147\pi\)
\(462\) −2.80385 2.25960i −0.130447 0.105126i
\(463\) −2.94958 + 5.10883i −0.137079 + 0.237427i −0.926390 0.376566i \(-0.877105\pi\)
0.789311 + 0.613994i \(0.210438\pi\)
\(464\) 2.64886 + 4.58796i 0.122970 + 0.212990i
\(465\) 4.52145 + 0.705214i 0.209677 + 0.0327035i
\(466\) −2.87121 7.88859i −0.133006 0.365432i
\(467\) 4.76849 2.75309i 0.220659 0.127398i −0.385596 0.922668i \(-0.626004\pi\)
0.606256 + 0.795270i \(0.292671\pi\)
\(468\) −0.355616 8.97147i −0.0164383 0.414707i
\(469\) −13.0890 2.30794i −0.604392 0.106571i
\(470\) −5.22969 + 4.38823i −0.241228 + 0.202414i
\(471\) −6.34659 16.4177i −0.292435 0.756489i
\(472\) 0.324588 + 1.84083i 0.0149404 + 0.0847310i
\(473\) −3.16596 + 8.69840i −0.145571 + 0.399953i
\(474\) −6.68958 + 12.1356i −0.307262 + 0.557409i
\(475\) −4.23442 + 20.1113i −0.194288 + 0.922770i
\(476\) 7.94354i 0.364091i
\(477\) −1.17715 5.41255i −0.0538981 0.247824i
\(478\) 8.65196 1.52557i 0.395731 0.0697781i
\(479\) −21.4896 + 25.6103i −0.981884 + 1.17016i 0.00353081 + 0.999994i \(0.498876\pi\)
−0.985415 + 0.170170i \(0.945568\pi\)
\(480\) −0.178568 0.907238i −0.00815048 0.0414096i
\(481\) 3.33588 18.9187i 0.152103 0.862618i
\(482\) −11.6386 6.71954i −0.530123 0.306067i
\(483\) −1.53050 + 0.0303215i −0.0696402 + 0.00137967i
\(484\) −8.35867 + 3.04231i −0.379940 + 0.138287i
\(485\) 4.15965 1.51399i 0.188880 0.0687467i
\(486\) 14.2046 + 6.42112i 0.644332 + 0.291268i
\(487\) 21.9456 + 12.6703i 0.994448 + 0.574145i 0.906601 0.421989i \(-0.138668\pi\)
0.0878470 + 0.996134i \(0.472001\pi\)
\(488\) −2.04609 + 11.6039i −0.0926219 + 0.525285i
\(489\) −17.6816 + 3.48020i −0.799589 + 0.157380i
\(490\) 1.69737 2.02285i 0.0766794 0.0913830i
\(491\) 7.76474 1.36913i 0.350418 0.0617881i 0.00433112 0.999991i \(-0.498621\pi\)
0.346087 + 0.938202i \(0.387510\pi\)
\(492\) 9.01210 + 10.3180i 0.406297 + 0.465174i
\(493\) 29.3665i 1.32260i
\(494\) −11.0765 6.89178i −0.498354 0.310076i
\(495\) −1.24056 1.96465i −0.0557589 0.0883044i
\(496\) 1.69268 4.65059i 0.0760035 0.208818i
\(497\) 3.11645 + 17.6742i 0.139792 + 0.792798i
\(498\) −8.01456 + 3.09818i −0.359141 + 0.138833i
\(499\) −9.89069 + 8.29927i −0.442768 + 0.371526i −0.836744 0.547594i \(-0.815544\pi\)
0.393976 + 0.919121i \(0.371099\pi\)
\(500\) −5.10751 0.900591i −0.228415 0.0402757i
\(501\) 35.2744 21.3082i 1.57594 0.951982i
\(502\) −6.80388 + 3.92822i −0.303672 + 0.175325i
\(503\) −2.85952 7.85647i −0.127500 0.350303i 0.859475 0.511178i \(-0.170791\pi\)
−0.986975 + 0.160875i \(0.948568\pi\)
\(504\) 3.40012 + 2.63077i 0.151454 + 0.117184i
\(505\) 0.840744 + 1.45621i 0.0374126 + 0.0648006i
\(506\) 0.447396 0.774912i 0.0198892 0.0344490i
\(507\) −4.39400 + 5.45235i −0.195144 + 0.242147i
\(508\) −0.503979 0.600619i −0.0223605 0.0266482i
\(509\) −5.11088 4.28853i −0.226536 0.190086i 0.522454 0.852667i \(-0.325016\pi\)
−0.748990 + 0.662581i \(0.769461\pi\)
\(510\) 1.65729 4.85019i 0.0733859 0.214770i
\(511\) 21.7614 + 7.92049i 0.962666 + 0.350382i
\(512\) −1.00000 −0.0441942
\(513\) 19.3088 11.8394i 0.852503 0.522722i
\(514\) 12.2853 0.541884
\(515\) 5.12894 + 1.86678i 0.226008 + 0.0822603i
\(516\) 3.57322 10.4573i 0.157302 0.460358i
\(517\) 14.2127 + 11.9259i 0.625073 + 0.524499i
\(518\) 5.91254 + 7.04629i 0.259782 + 0.309596i
\(519\) −27.2302 + 33.7889i −1.19527 + 1.48317i
\(520\) 0.798855 1.38366i 0.0350321 0.0606774i
\(521\) −7.75609 13.4339i −0.339800 0.588552i 0.644595 0.764525i \(-0.277026\pi\)
−0.984395 + 0.175973i \(0.943693\pi\)
\(522\) −12.5699 9.72569i −0.550171 0.425682i
\(523\) −7.60779 20.9022i −0.332666 0.913991i −0.987416 0.158146i \(-0.949448\pi\)
0.654750 0.755845i \(-0.272774\pi\)
\(524\) −9.97575 + 5.75950i −0.435793 + 0.251605i
\(525\) 10.0171 6.05106i 0.437183 0.264090i
\(526\) 23.4707 + 4.13852i 1.02337 + 0.180448i
\(527\) 21.0155 17.6341i 0.915450 0.768154i
\(528\) −2.34386 + 0.906066i −0.102004 + 0.0394314i
\(529\) 3.92786 + 22.2760i 0.170776 + 0.968521i
\(530\) 0.337118 0.926225i 0.0146435 0.0402326i
\(531\) −2.99399 4.74153i −0.129928 0.205765i
\(532\) 5.93693 1.94165i 0.257398 0.0841810i
\(533\) 23.6718i 1.02534i
\(534\) −5.46001 6.25122i −0.236278 0.270517i
\(535\) 6.10871 1.07713i 0.264103 0.0465684i
\(536\) −5.96171 + 7.10489i −0.257507 + 0.306884i
\(537\) 26.4152 5.19921i 1.13990 0.224362i
\(538\) −3.30229 + 18.7282i −0.142372 + 0.807431i
\(539\) −6.21498 3.58822i −0.267698 0.154556i
\(540\) 1.52720 + 2.31568i 0.0657200 + 0.0996511i
\(541\) 7.24376 2.63651i 0.311433 0.113352i −0.181575 0.983377i \(-0.558119\pi\)
0.493008 + 0.870025i \(0.335897\pi\)
\(542\) 5.07299 1.84642i 0.217904 0.0793104i
\(543\) 36.3063 0.719281i 1.55805 0.0308673i
\(544\) −4.80058 2.77162i −0.205823 0.118832i
\(545\) −0.00295864 + 0.0167793i −0.000126734 + 0.000718746i
\(546\) 1.43458 + 7.28855i 0.0613942 + 0.311921i
\(547\) 18.1301 21.6066i 0.775188 0.923833i −0.223518 0.974700i \(-0.571754\pi\)
0.998705 + 0.0508673i \(0.0161986\pi\)
\(548\) 13.3383 2.35190i 0.569784 0.100468i
\(549\) −7.51224 34.5413i −0.320615 1.47419i
\(550\) 6.84064i 0.291686i
\(551\) −21.9482 + 7.17807i −0.935026 + 0.305796i
\(552\) −0.515690 + 0.935520i −0.0219492 + 0.0398184i
\(553\) 3.92121 10.7734i 0.166747 0.458133i
\(554\) 0.0162172 + 0.0919724i 0.000689003 + 0.00390753i
\(555\) 2.14001 + 5.53590i 0.0908384 + 0.234986i
\(556\) −5.54326 + 4.65135i −0.235087 + 0.197261i
\(557\) −30.7949 5.42997i −1.30482 0.230075i −0.522333 0.852741i \(-0.674938\pi\)
−0.782487 + 0.622666i \(0.786049\pi\)
\(558\) 0.588058 + 14.8355i 0.0248945 + 0.628038i
\(559\) 16.5369 9.54757i 0.699435 0.403819i
\(560\) 0.261648 + 0.718871i 0.0110566 + 0.0303778i
\(561\) −13.7632 2.14665i −0.581082 0.0906317i
\(562\) −5.10091 8.83503i −0.215169 0.372683i
\(563\) 4.37942 7.58538i 0.184571 0.319686i −0.758861 0.651252i \(-0.774244\pi\)
0.943432 + 0.331567i \(0.107577\pi\)
\(564\) −17.2464 13.8987i −0.726203 0.585241i
\(565\) 3.55073 + 4.23160i 0.149380 + 0.178025i
\(566\) 14.8149 + 12.4312i 0.622716 + 0.522521i
\(567\) −12.4305 3.43796i −0.522030 0.144381i
\(568\) 11.7686 + 4.28342i 0.493799 + 0.179728i
\(569\) 39.4950 1.65572 0.827859 0.560936i \(-0.189559\pi\)
0.827859 + 0.560936i \(0.189559\pi\)
\(570\) 4.03008 + 0.0531037i 0.168802 + 0.00222427i
\(571\) −1.49689 −0.0626431 −0.0313215 0.999509i \(-0.509972\pi\)
−0.0313215 + 0.999509i \(0.509972\pi\)
\(572\) −4.08022 1.48508i −0.170603 0.0620942i
\(573\) −2.61255 0.892695i −0.109141 0.0372929i
\(574\) −8.68267 7.28562i −0.362408 0.304096i
\(575\) 1.86921 + 2.22764i 0.0779514 + 0.0928988i
\(576\) 2.77623 1.13691i 0.115676 0.0473713i
\(577\) −5.32793 + 9.22825i −0.221805 + 0.384177i −0.955356 0.295457i \(-0.904528\pi\)
0.733551 + 0.679634i \(0.237861\pi\)
\(578\) −6.86373 11.8883i −0.285493 0.494489i
\(579\) 1.16274 7.45484i 0.0483217 0.309813i
\(580\) −0.967285 2.65759i −0.0401643 0.110351i
\(581\) 6.15662 3.55453i 0.255420 0.147467i
\(582\) 7.42599 + 12.2932i 0.307817 + 0.509571i
\(583\) −2.63804 0.465158i −0.109257 0.0192649i
\(584\) 12.3795 10.3876i 0.512268 0.429844i
\(585\) −0.644706 + 4.74957i −0.0266553 + 0.196371i
\(586\) −2.81056 15.9395i −0.116103 0.658454i
\(587\) −0.0214414 + 0.0589098i −0.000884983 + 0.00243147i −0.940134 0.340804i \(-0.889301\pi\)
0.939249 + 0.343236i \(0.111523\pi\)
\(588\) 7.50310 + 4.13596i 0.309423 + 0.170564i
\(589\) 18.3164 + 11.3965i 0.754714 + 0.469584i
\(590\) 0.997875i 0.0410818i
\(591\) 8.58152 7.49537i 0.352997 0.308318i
\(592\) 6.32132 1.11462i 0.259804 0.0458105i
\(593\) −10.0616 + 11.9910i −0.413181 + 0.492409i −0.931992 0.362479i \(-0.881930\pi\)
0.518811 + 0.854889i \(0.326375\pi\)
\(594\) 5.47698 5.18021i 0.224723 0.212547i
\(595\) −0.736374 + 4.17618i −0.0301884 + 0.171207i
\(596\) 17.0772 + 9.85955i 0.699511 + 0.403863i
\(597\) −0.373902 18.8730i −0.0153028 0.772421i
\(598\) −1.73451 + 0.631310i −0.0709294 + 0.0258162i
\(599\) 2.10138 0.764839i 0.0858600 0.0312505i −0.298733 0.954337i \(-0.596564\pi\)
0.384593 + 0.923086i \(0.374342\pi\)
\(600\) −0.161761 8.16504i −0.00660388 0.333336i
\(601\) −16.1749 9.33861i −0.659790 0.380930i 0.132407 0.991195i \(-0.457729\pi\)
−0.792197 + 0.610266i \(0.791063\pi\)
\(602\) −1.58767 + 9.00413i −0.0647086 + 0.366981i
\(603\) 8.47342 26.5027i 0.345064 1.07927i
\(604\) −2.71950 + 3.24097i −0.110655 + 0.131873i
\(605\) 4.67646 0.824586i 0.190125 0.0335242i
\(606\) −4.10893 + 3.58887i −0.166914 + 0.145788i
\(607\) 43.2872i 1.75697i 0.477766 + 0.878487i \(0.341447\pi\)
−0.477766 + 0.878487i \(0.658553\pi\)
\(608\) 0.898071 4.26538i 0.0364216 0.172984i
\(609\) 11.5155 + 6.34776i 0.466634 + 0.257224i
\(610\) 2.15139 5.91090i 0.0871073 0.239325i
\(611\) −6.64602 37.6915i −0.268869 1.52483i
\(612\) 16.4786 + 2.23680i 0.666107 + 0.0904173i
\(613\) −6.84929 + 5.74724i −0.276640 + 0.232129i −0.770542 0.637389i \(-0.780015\pi\)
0.493902 + 0.869518i \(0.335570\pi\)
\(614\) 17.5661 + 3.09738i 0.708911 + 0.125000i
\(615\) −3.78147 6.25998i −0.152484 0.252427i
\(616\) 1.80051 1.03952i 0.0725446 0.0418836i
\(617\) −8.89796 24.4469i −0.358218 0.984197i −0.979647 0.200726i \(-0.935670\pi\)
0.621429 0.783470i \(-0.286552\pi\)
\(618\) −2.72905 + 17.4972i −0.109779 + 0.703841i
\(619\) −9.72654 16.8469i −0.390943 0.677133i 0.601631 0.798774i \(-0.294518\pi\)
−0.992574 + 0.121641i \(0.961184\pi\)
\(620\) −1.32101 + 2.28806i −0.0530531 + 0.0918907i
\(621\) 0.368069 3.18351i 0.0147701 0.127750i
\(622\) −21.0416 25.0764i −0.843692 1.00547i
\(623\) 5.26042 + 4.41402i 0.210754 + 0.176844i
\(624\) 4.90529 + 1.67611i 0.196369 + 0.0670983i
\(625\) −19.5516 7.11620i −0.782064 0.284648i
\(626\) −26.4219 −1.05603
\(627\) −1.75976 10.8112i −0.0702779 0.431757i
\(628\) 10.1624 0.405522
\(629\) 33.4353 + 12.1695i 1.33315 + 0.485228i
\(630\) −1.54369 1.69828i −0.0615019 0.0676610i
\(631\) −11.6007 9.73414i −0.461816 0.387510i 0.381982 0.924170i \(-0.375241\pi\)
−0.843799 + 0.536660i \(0.819686\pi\)
\(632\) −5.14263 6.12874i −0.204563 0.243788i
\(633\) 10.2087 + 8.22711i 0.405760 + 0.326998i
\(634\) 6.70437 11.6123i 0.266265 0.461184i
\(635\) 0.209281 + 0.362485i 0.00830506 + 0.0143848i
\(636\) 3.15979 + 0.492834i 0.125294 + 0.0195421i
\(637\) 5.06326 + 13.9112i 0.200614 + 0.551182i
\(638\) −6.65631 + 3.84302i −0.263526 + 0.152147i
\(639\) −37.5421 + 1.48811i −1.48514 + 0.0588688i
\(640\) 0.525734 + 0.0927010i 0.0207814 + 0.00366433i
\(641\) −28.6682 + 24.0555i −1.13233 + 0.950135i −0.999161 0.0409586i \(-0.986959\pi\)
−0.133166 + 0.991094i \(0.542514\pi\)
\(642\) 7.25654 + 18.7716i 0.286393 + 0.740858i
\(643\) 1.81700 + 10.3047i 0.0716554 + 0.406378i 0.999446 + 0.0332769i \(0.0105943\pi\)
−0.927791 + 0.373101i \(0.878295\pi\)
\(644\) 0.302280 0.830508i 0.0119115 0.0327266i
\(645\) −2.84797 + 5.16653i −0.112139 + 0.203432i
\(646\) 16.1333 17.9872i 0.634755 0.707697i
\(647\) 15.2706i 0.600348i 0.953884 + 0.300174i \(0.0970448\pi\)
−0.953884 + 0.300174i \(0.902955\pi\)
\(648\) −6.41486 + 6.31265i −0.252000 + 0.247984i
\(649\) −2.67071 + 0.470919i −0.104835 + 0.0184852i
\(650\) 9.07055 10.8099i 0.355776 0.423998i
\(651\) −2.37226 12.0526i −0.0929763 0.472378i
\(652\) 1.80669 10.2463i 0.0707555 0.401275i
\(653\) −2.32583 1.34282i −0.0910168 0.0525486i 0.453801 0.891103i \(-0.350068\pi\)
−0.544818 + 0.838555i \(0.683401\pi\)
\(654\) −0.0552692 + 0.00109496i −0.00216120 + 4.28165e-5i
\(655\) 5.77850 2.10320i 0.225785 0.0821789i
\(656\) −7.43249 + 2.70521i −0.290190 + 0.105621i
\(657\) −22.5585 + 42.9129i −0.880091 + 1.67419i
\(658\) 15.8705 + 9.16281i 0.618695 + 0.357203i
\(659\) 5.97002 33.8577i 0.232559 1.31891i −0.615134 0.788422i \(-0.710898\pi\)
0.847694 0.530486i \(-0.177991\pi\)
\(660\) 1.31624 0.259071i 0.0512346 0.0100843i
\(661\) 11.2236 13.3757i 0.436546 0.520256i −0.502253 0.864721i \(-0.667495\pi\)
0.938799 + 0.344465i \(0.111940\pi\)
\(662\) 24.6137 4.34007i 0.956640 0.168682i
\(663\) 18.9027 + 21.6419i 0.734121 + 0.840503i
\(664\) 4.96091i 0.192521i
\(665\) −3.30123 + 0.470429i −0.128016 + 0.0182425i
\(666\) −16.2822 + 10.2812i −0.630922 + 0.398389i
\(667\) −1.11750 + 3.07031i −0.0432698 + 0.118883i
\(668\) 4.13162 + 23.4316i 0.159857 + 0.906594i
\(669\) −18.6025 + 7.19114i −0.719213 + 0.278025i
\(670\) 3.79290 3.18262i 0.146533 0.122955i
\(671\) −16.8352 2.96851i −0.649917 0.114598i
\(672\) −2.12452 + 1.28336i −0.0819551 + 0.0495067i
\(673\) −38.2505 + 22.0839i −1.47445 + 0.851273i −0.999586 0.0287864i \(-0.990836\pi\)
−0.474863 + 0.880060i \(0.657502\pi\)
\(674\) 5.70262 + 15.6678i 0.219657 + 0.603502i
\(675\) 9.73201 + 22.4841i 0.374585 + 0.865413i
\(676\) −2.02145 3.50126i −0.0777483 0.134664i
\(677\) −9.28464 + 16.0815i −0.356838 + 0.618061i −0.987431 0.158053i \(-0.949478\pi\)
0.630593 + 0.776114i \(0.282812\pi\)
\(678\) −11.2461 + 13.9549i −0.431904 + 0.535934i
\(679\) −7.63791 9.10251i −0.293116 0.349322i
\(680\) 2.26690 + 1.90215i 0.0869315 + 0.0729442i
\(681\) −0.864093 + 2.52884i −0.0331121 + 0.0969055i
\(682\) 6.74718 + 2.45577i 0.258363 + 0.0940364i
\(683\) −18.9873 −0.726527 −0.363264 0.931686i \(-0.618338\pi\)
−0.363264 + 0.931686i \(0.618338\pi\)
\(684\) 2.35611 + 12.8627i 0.0900882 + 0.491817i
\(685\) −7.23041 −0.276260
\(686\) −16.0870 5.85520i −0.614206 0.223553i
\(687\) −4.57741 + 13.3962i −0.174639 + 0.511096i
\(688\) 4.88757 + 4.10116i 0.186337 + 0.156355i
\(689\) 3.55195 + 4.23305i 0.135319 + 0.161266i
\(690\) 0.357839 0.444029i 0.0136227 0.0169039i
\(691\) 7.53839 13.0569i 0.286774 0.496707i −0.686264 0.727352i \(-0.740751\pi\)
0.973038 + 0.230646i \(0.0740839\pi\)
\(692\) −12.5272 21.6978i −0.476213 0.824826i
\(693\) −3.81677 + 4.93298i −0.144987 + 0.187388i
\(694\) −12.2473 33.6493i −0.464903 1.27731i
\(695\) 3.34547 1.93151i 0.126901 0.0732662i
\(696\) 7.85414 4.74446i 0.297710 0.179838i
\(697\) −43.1781 7.61346i −1.63549 0.288380i
\(698\) 14.9823 12.5717i 0.567089 0.475844i
\(699\) −13.5623 + 5.24275i −0.512972 + 0.198299i
\(700\) 1.17329 + 6.65403i 0.0443460 + 0.251499i
\(701\) 4.16179 11.4344i 0.157189 0.431872i −0.835951 0.548804i \(-0.815083\pi\)
0.993140 + 0.116931i \(0.0373057\pi\)
\(702\) −15.5238 + 0.923615i −0.585908 + 0.0348596i
\(703\) −0.922720 + 27.9638i −0.0348010 + 1.05468i
\(704\) 1.45082i 0.0546799i
\(705\) 7.77857 + 8.90577i 0.292958 + 0.335411i
\(706\) −31.7672 + 5.60142i −1.19558 + 0.210812i
\(707\) 2.90133 3.45768i 0.109116 0.130039i
\(708\) 3.17665 0.625247i 0.119386 0.0234982i
\(709\) −6.71310 + 38.0719i −0.252116 + 1.42982i 0.551253 + 0.834338i \(0.314150\pi\)
−0.803369 + 0.595481i \(0.796961\pi\)
\(710\) −5.79007 3.34290i −0.217297 0.125457i
\(711\) 21.2449 + 11.1681i 0.796747 + 0.418835i
\(712\) 4.50300 1.63896i 0.168757 0.0614225i
\(713\) 2.86824 1.04395i 0.107417 0.0390964i
\(714\) −13.7559 + 0.272525i −0.514802 + 0.0101990i
\(715\) 2.00744 + 1.15900i 0.0750740 + 0.0433440i
\(716\) −2.69909 + 15.3073i −0.100870 + 0.572061i
\(717\) −2.93868 14.9303i −0.109747 0.557584i
\(718\) 11.2586 13.4175i 0.420167 0.500736i
\(719\) −26.0696 + 4.59678i −0.972233 + 0.171431i −0.637135 0.770752i \(-0.719881\pi\)
−0.335098 + 0.942183i \(0.608769\pi\)
\(720\) −1.56495 + 0.340354i −0.0583222 + 0.0126842i
\(721\) 14.6514i 0.545646i
\(722\) 17.3869 + 7.66123i 0.647075 + 0.285121i
\(723\) −11.2370 + 20.3852i −0.417909 + 0.758134i
\(724\) −7.17064 + 19.7012i −0.266495 + 0.732188i
\(725\) −4.33752 24.5993i −0.161091 0.913595i
\(726\) 5.55517 + 14.3704i 0.206172 + 0.533337i
\(727\) 23.0429 19.3353i 0.854614 0.717107i −0.106187 0.994346i \(-0.533864\pi\)
0.960801 + 0.277240i \(0.0894196\pi\)
\(728\) −4.22363 0.744740i −0.156538 0.0276019i
\(729\) 10.6322 24.8185i 0.393785 0.919203i
\(730\) −7.47127 + 4.31354i −0.276524 + 0.159651i
\(731\) 12.0964 + 33.2345i 0.447400 + 1.22922i
\(732\) 20.1648 + 3.14512i 0.745314 + 0.116247i
\(733\) 4.85445 + 8.40816i 0.179303 + 0.310563i 0.941642 0.336616i \(-0.109282\pi\)
−0.762339 + 0.647178i \(0.775949\pi\)
\(734\) 10.3438 17.9160i 0.381796 0.661291i
\(735\) −3.56122 2.86996i −0.131358 0.105860i
\(736\) −0.396438 0.472456i −0.0146129 0.0174150i
\(737\) −10.3079 8.64938i −0.379697 0.318604i
\(738\) 17.5587 15.9603i 0.646345 0.587508i
\(739\) −46.3353 16.8647i −1.70447 0.620377i −0.708150 0.706062i \(-0.750470\pi\)
−0.996322 + 0.0856846i \(0.972692\pi\)
\(740\) −3.42665 −0.125966
\(741\) −11.5546 + 19.4177i −0.424468 + 0.713326i
\(742\) −2.64586 −0.0971326
\(743\) 6.36036 + 2.31498i 0.233339 + 0.0849285i 0.456043 0.889958i \(-0.349266\pi\)
−0.222704 + 0.974886i \(0.571488\pi\)
\(744\) −8.11156 2.77168i −0.297384 0.101615i
\(745\) −8.06409 6.76658i −0.295445 0.247908i
\(746\) 1.83196 + 2.18324i 0.0670728 + 0.0799342i
\(747\) 5.64011 + 13.7726i 0.206361 + 0.503913i
\(748\) 4.02112 6.96479i 0.147027 0.254658i
\(749\) −8.32539 14.4200i −0.304203 0.526895i
\(750\) −1.38434 + 8.87562i −0.0505488 + 0.324092i
\(751\) 7.71871 + 21.2070i 0.281660 + 0.773853i 0.997165 + 0.0752462i \(0.0239743\pi\)
−0.715505 + 0.698607i \(0.753804\pi\)
\(752\) 11.0749 6.39408i 0.403859 0.233168i
\(753\) 7.03597 + 11.6476i 0.256405 + 0.424462i
\(754\) 15.6143 + 2.75323i 0.568641 + 0.100267i
\(755\) 1.73017 1.45179i 0.0629675 0.0528360i
\(756\) 4.43908 5.97829i 0.161448 0.217428i
\(757\) −9.07767 51.4820i −0.329933 1.87115i −0.472457 0.881354i \(-0.656633\pi\)
0.142523 0.989791i \(-0.454478\pi\)
\(758\) −5.18667 + 14.2502i −0.188388 + 0.517592i
\(759\) −1.35727 0.748174i −0.0492659 0.0271570i
\(760\) −0.867551 + 2.15920i −0.0314694 + 0.0783225i
\(761\) 16.8329i 0.610193i −0.952321 0.305097i \(-0.901311\pi\)
0.952321 0.305097i \(-0.0986888\pi\)
\(762\) −1.02281 + 0.893353i −0.0370524 + 0.0323627i
\(763\) 0.0450412 0.00794198i 0.00163060 0.000287519i
\(764\) 1.02459 1.22106i 0.0370684 0.0441764i
\(765\) −8.45599 2.70354i −0.305727 0.0977468i
\(766\) 0.366876 2.08066i 0.0132558 0.0751772i
\(767\) 4.84480 + 2.79715i 0.174936 + 0.100999i
\(768\) 0.0343077 + 1.73171i 0.00123797 + 0.0624877i
\(769\) 2.83204