Properties

Label 114.2.l.a.71.2
Level $114$
Weight $2$
Character 114.71
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 71.2
Root \(1.69944 + 0.334495i\) of defining polynomial
Character \(\chi\) \(=\) 114.71
Dual form 114.2.l.a.53.2

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

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 −0.837297 0.546748i \(-0.815866\pi\)
0.683837 + 0.729635i \(0.260310\pi\)
\(6\) 1.08684 + 1.34862i 0.443701 + 0.550572i
\(7\) −0.716507 1.24103i −0.270814 0.469064i 0.698256 0.715848i \(-0.253960\pi\)
−0.969071 + 0.246784i \(0.920626\pi\)
\(8\) 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 0.298477 0.954417i \(-0.403521\pi\)
−0.677311 + 0.735697i \(0.736855\pi\)
\(12\) 1.48255 + 0.895567i 0.427976 + 0.258528i
\(13\) 2.94737 0.519701i 0.817454 0.144139i 0.250741 0.968054i \(-0.419326\pi\)
0.566713 + 0.823915i \(0.308215\pi\)
\(14\) −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 −0.925618 0.378460i \(-0.876454\pi\)
0.465795 0.884893i \(-0.345768\pi\)
\(18\) −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 0.723128 0.690714i \(-0.242704\pi\)
−0.805791 + 0.592200i \(0.798259\pi\)
\(24\) 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 0.760001 0.649922i \(-0.225199\pi\)
0.164432 + 0.986388i \(0.447421\pi\)
\(30\) −0.924463 0.0183150i −0.168783 0.00334384i
\(31\) −4.28601 + 2.47453i −0.769790 + 0.444439i −0.832800 0.553574i \(-0.813263\pi\)
0.0630096 + 0.998013i \(0.479930\pi\)
\(32\) −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 \(0.176917\pi\)
−0.849478 + 0.527625i \(0.823083\pi\)
\(38\) −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 −0.667273 0.744814i \(-0.732538\pi\)
0.881772 0.471675i \(-0.156350\pi\)
\(42\) 0.894945 2.31510i 0.138093 0.357227i
\(43\) 4.88757 + 4.10116i 0.745348 + 0.625421i 0.934268 0.356571i \(-0.116054\pi\)
−0.188920 + 0.981992i \(0.560499\pi\)
\(44\) −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 0.0199780 + 0.999800i \(0.493640\pi\)
−0.657963 + 0.753050i \(0.728582\pi\)
\(48\) 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 −0.540458 0.841371i \(-0.681749\pi\)
0.734739 + 0.678349i \(0.237304\pi\)
\(54\) −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 −0.225141 0.974326i \(-0.572284\pi\)
0.453817 + 0.891095i \(0.350062\pi\)
\(60\) −0.874975 + 0.298975i −0.112959 + 0.0385975i
\(61\) 9.02625 7.57392i 1.15569 0.969742i 0.155856 0.987780i \(-0.450186\pi\)
0.999837 + 0.0180382i \(0.00574206\pi\)
\(62\) −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 −0.580564 0.814215i \(-0.697168\pi\)
0.968105 0.250545i \(-0.0806099\pi\)
\(68\) −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 0.999391 0.0348843i \(-0.0111063\pi\)
0.139188 + 0.990266i \(0.455551\pi\)
\(72\) 0.403519 + 2.97274i 0.0475551 + 0.350341i
\(73\) −2.80621 + 15.9148i −0.328442 + 1.86269i 0.155852 + 0.987780i \(0.450188\pi\)
−0.484294 + 0.874905i \(0.660923\pi\)
\(74\) 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 −0.288159 0.957583i \(-0.593043\pi\)
−0.598293 + 0.801277i \(0.704154\pi\)
\(80\) 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 −0.716900 0.697176i \(-0.754439\pi\)
0.245323 + 0.969442i \(0.421106\pi\)
\(84\) 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 0.996619 + 0.0821621i \(0.0261825\pi\)
−0.908414 + 0.418071i \(0.862706\pi\)
\(90\) −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 −0.996352 0.0853335i \(-0.972804\pi\)
0.708399 0.705812i \(-0.249418\pi\)
\(98\) 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 −0.325829 0.945429i \(-0.605643\pi\)
0.0171763 + 0.999852i \(0.494532\pi\)
\(102\) 4.96434 8.21813i 0.491543 0.813716i
\(103\) −8.85438 5.11208i −0.872448 0.503708i −0.00428731 0.999991i \(-0.501365\pi\)
−0.868161 + 0.496282i \(0.834698\pi\)
\(104\) 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 −0.997353 0.0727101i \(-0.976835\pi\)
0.435708 0.900088i \(-0.356498\pi\)
\(108\) −5.16177 + 0.596790i −0.496691 + 0.0574261i
\(109\) −0.0205152 + 0.0244490i −0.00196500 + 0.00234179i −0.767026 0.641616i \(-0.778264\pi\)
0.765061 + 0.643958i \(0.222709\pi\)
\(110\) 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 −0.207801 0.978171i \(-0.566631\pi\)
0.139285 + 0.990252i \(0.455520\pi\)
\(128\) −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 −0.984157 0.177301i \(-0.943263\pi\)
0.639941 0.768424i \(-0.278959\pi\)
\(132\) −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 0.996709 0.0810638i \(-0.0258318\pi\)
−0.252909 + 0.967490i \(0.581387\pi\)
\(138\) 0.206299 1.04813i 0.0175613 0.0892226i
\(139\) −1.25656 7.12628i −0.106580 0.604444i −0.990578 0.136953i \(-0.956269\pi\)
0.883998 0.467491i \(-0.154842\pi\)
\(140\) 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 0.897831 0.440341i \(-0.145142\pi\)
0.693079 + 0.720861i \(0.256254\pi\)
\(150\) −5.37230 + 6.15080i −0.438646 + 0.502211i
\(151\) 4.23079i 0.344297i −0.985071 0.172148i \(-0.944929\pi\)
0.985071 0.172148i \(-0.0550709\pi\)
\(152\) −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 0.898211 0.439565i \(-0.144867\pi\)
−0.276914 + 0.960895i \(0.589312\pi\)
\(158\) −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 −0.994605 0.103735i \(-0.966920\pi\)
0.587140 + 0.809485i \(0.300254\pi\)
\(164\) −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 0.454162 0.890919i \(-0.349939\pi\)
0.956249 0.292555i \(-0.0945056\pi\)
\(168\) −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 −0.790752 + 0.612137i \(0.790310\pi\)
−0.999225 + 0.0393612i \(0.987468\pi\)
\(174\) 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 −0.414488 0.910055i \(-0.636039\pi\)
0.995375 0.0960699i \(-0.0306272\pi\)
\(180\) −0.980045 1.26666i −0.0730482 0.0944109i
\(181\) 7.17064 19.7012i 0.532990 1.46438i −0.322506 0.946567i \(-0.604525\pi\)
0.855496 0.517810i \(-0.173252\pi\)
\(182\) −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 \(0.0183665\pi\)
−0.998336 + 0.0576682i \(0.981633\pi\)
\(192\) 1.13940 1.30452i 0.0822294 0.0941453i
\(193\) 4.28991 + 0.756427i 0.308795 + 0.0544488i 0.325898 0.945405i \(-0.394333\pi\)
−0.0171035 + 0.999854i \(0.505444\pi\)
\(194\) −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 −0.283130 0.959082i \(-0.591373\pi\)
0.689024 + 0.724738i \(0.258039\pi\)
\(198\) 3.85258 2.02523i 0.273791 0.143927i
\(199\) 10.2412 + 3.72750i 0.725981 + 0.264235i 0.678463 0.734635i \(-0.262647\pi\)
0.0475182 + 0.998870i \(0.484869\pi\)
\(200\) 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 0.818116 0.575054i \(-0.195019\pi\)
−0.996350 + 0.0853581i \(0.972797\pi\)
\(212\) 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 −0.954643 0.297753i \(-0.903763\pi\)
0.459002 + 0.888435i \(0.348207\pi\)
\(224\) −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 −0.913268 0.407358i \(-0.866450\pi\)
0.559757 + 0.828657i \(0.310894\pi\)
\(234\) −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 0.725465 0.688260i \(-0.241625\pi\)
−0.233318 + 0.972401i \(0.574958\pi\)
\(240\) −0.478093 + 0.791451i −0.0308608 + 0.0510880i
\(241\) −13.2349 + 2.33367i −0.852536 + 0.150325i −0.582806 0.812611i \(-0.698045\pi\)
−0.269730 + 0.962936i \(0.586934\pi\)
\(242\) −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 0.582746 0.812654i \(-0.301978\pi\)
−0.901501 + 0.432777i \(0.857534\pi\)
\(252\) 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 0.675978 0.736922i \(-0.263721\pi\)
0.0441451 + 0.999025i \(0.485944\pi\)
\(258\) −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 0.841416 0.540387i \(-0.181722\pi\)
0.605849 + 0.795579i \(0.292833\pi\)
\(264\) −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 −0.701745 0.712428i \(-0.747596\pi\)
0.903090 0.429452i \(-0.141293\pi\)
\(270\) 2.22710 1.65370i 0.135537 0.100641i
\(271\) 4.13554 + 3.47013i 0.251216 + 0.210795i 0.759696 0.650279i \(-0.225348\pi\)
−0.508480 + 0.861074i \(0.669792\pi\)
\(272\) −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 −0.864619 0.502428i \(-0.832440\pi\)
0.867425 + 0.497568i \(0.165774\pi\)
\(278\) −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 −0.845409 0.534120i \(-0.820643\pi\)
0.379202 + 0.925314i \(0.376199\pi\)
\(282\) −20.9599 + 7.16190i −1.24814 + 0.426485i
\(283\) 18.1732 6.61449i 1.08028 0.393190i 0.260269 0.965536i \(-0.416189\pi\)
0.820013 + 0.572346i \(0.193966\pi\)
\(284\) 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 −0.999515 0.0311512i \(-0.990083\pi\)
0.526735 + 0.850030i \(0.323416\pi\)
\(294\) 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 0.650745 0.759296i \(-0.274457\pi\)
0.351806 + 0.936073i \(0.385568\pi\)
\(308\) 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 −0.617622 + 0.786475i \(0.711904\pi\)
−0.989918 + 0.141639i \(0.954763\pi\)
\(312\) 5.18273 + 0.102678i 0.293415 + 0.00581297i
\(313\) −24.8285 9.03684i −1.40339 0.510792i −0.474208 0.880413i \(-0.657265\pi\)
−0.929183 + 0.369621i \(0.879488\pi\)
\(314\) 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 0.977708 + 0.209968i \(0.0673359\pi\)
−0.846932 + 0.531701i \(0.821553\pi\)
\(318\) 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 0.958242 0.285959i \(-0.0923121\pi\)
0.231473 + 0.972841i \(0.425645\pi\)
\(332\) −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 −0.390589 0.920565i \(-0.627729\pi\)
0.974405 + 0.224801i \(0.0721732\pi\)
\(338\) −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 −0.406399 + 0.913696i \(0.633216\pi\)
−0.829244 + 0.558886i \(0.811229\pi\)
\(348\) 5.75777 + 7.14460i 0.308649 + 0.382991i
\(349\) 9.77902 + 16.9378i 0.523459 + 0.906657i 0.999627 + 0.0273031i \(0.00869193\pi\)
−0.476168 + 0.879354i \(0.657975\pi\)
\(350\) 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 −0.486976 0.873416i \(-0.661900\pi\)
−0.999888 + 0.0149745i \(0.995233\pi\)
\(354\) 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 0.991377 + 0.131042i \(0.0418323\pi\)
−0.675206 + 0.737629i \(0.735945\pi\)
\(360\) −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 0.922675 + 0.385578i \(0.125998\pi\)
−0.735155 + 0.677899i \(0.762891\pi\)
\(368\) −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 −0.434738 0.900557i \(-0.643159\pi\)
0.562536 + 0.826773i \(0.309826\pi\)
\(374\) 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 \(-0.872654\pi\)
0.921034 0.389482i \(-0.127346\pi\)
\(380\) −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 −0.992745 0.120237i \(-0.961635\pi\)
0.973999 + 0.226553i \(0.0727458\pi\)
\(384\) 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 −0.970783 0.239958i \(-0.922866\pi\)
0.897905 + 0.440189i \(0.145089\pi\)
\(390\) −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 −0.334860 0.942268i \(-0.608689\pi\)
0.349161 + 0.937063i \(0.386467\pi\)
\(398\) 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 −0.620811 0.783960i \(-0.713197\pi\)
0.0283512 + 0.999598i \(0.490974\pi\)
\(402\) 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 0.660515 + 0.750813i \(0.270338\pi\)
−0.988597 + 0.150585i \(0.951884\pi\)
\(410\) 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 \(-0.876503\pi\)
0.925676 0.378316i \(-0.123497\pi\)
\(420\) 0.997962 + 0.871651i 0.0486956 + 0.0425322i
\(421\) 13.7766 + 2.42919i 0.671431 + 0.118391i 0.498962 0.866624i \(-0.333715\pi\)
0.172468 + 0.985015i \(0.444826\pi\)
\(422\) −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 −0.844258 0.535936i \(-0.819959\pi\)
0.610042 0.792369i \(-0.291152\pi\)
\(432\) −3.57053 + 3.77509i −0.171787 + 0.181629i
\(433\) −3.78152 4.50664i −0.181728 0.216575i 0.667488 0.744621i \(-0.267370\pi\)
−0.849216 + 0.528045i \(0.822925\pi\)
\(434\) 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 0.977094 + 0.212806i \(0.0682602\pi\)
−0.611709 + 0.791083i \(0.709518\pi\)
\(440\) 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 0.186487 0.982457i \(-0.440290\pi\)
0.511261 + 0.859426i \(0.329179\pi\)
\(444\) −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 0.802536 0.596604i \(-0.203484\pi\)
−0.917942 + 0.396715i \(0.870150\pi\)
\(450\) −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 −0.249138 0.968468i \(-0.580147\pi\)
0.997017 + 0.0771808i \(0.0245919\pi\)
\(462\) −2.80385 + 2.25960i −0.130447 + 0.105126i
\(463\) −2.94958 5.10883i −0.137079 0.237427i 0.789311 0.613994i \(-0.210438\pi\)
−0.926390 + 0.376566i \(0.877105\pi\)
\(464\) 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 0.606256 0.795270i \(-0.292671\pi\)
−0.385596 + 0.922668i \(0.626004\pi\)
\(468\) −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 −0.985415 0.170170i \(-0.945568\pi\)
0.00353081 0.999994i \(-0.498876\pi\)
\(480\) −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 0.0878470 0.996134i \(-0.472001\pi\)
0.906601 + 0.421989i \(0.138668\pi\)
\(488\) −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 0.346087 0.938202i \(-0.387510\pi\)
0.00433112 + 0.999991i \(0.498621\pi\)
\(492\) 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 0.393976 0.919121i \(-0.371099\pi\)
−0.836744 + 0.547594i \(0.815544\pi\)
\(500\) −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 −0.986975 0.160875i \(-0.948568\pi\)
0.859475 + 0.511178i \(0.170791\pi\)
\(504\) 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 −0.748990 0.662581i \(-0.769461\pi\)
0.522454 + 0.852667i \(0.325016\pi\)
\(510\) 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 −0.984395 0.175973i \(-0.943693\pi\)
0.644595 + 0.764525i \(0.277026\pi\)
\(522\) −12.5699 + 9.72569i −0.550171 + 0.425682i
\(523\) −7.60779 + 20.9022i −0.332666 + 0.913991i 0.654750 + 0.755845i \(0.272774\pi\)
−0.987416 + 0.158146i \(0.949448\pi\)
\(524\) −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 0.493008 0.870025i \(-0.335897\pi\)
−0.181575 + 0.983377i \(0.558119\pi\)
\(542\) 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 0.998705 0.0508673i \(-0.0161986\pi\)
−0.223518 + 0.974700i \(0.571754\pi\)
\(548\) 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 −0.782487 0.622666i \(-0.786049\pi\)
−0.522333 + 0.852741i \(0.674938\pi\)
\(558\) 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 0.943432 0.331567i \(-0.107577\pi\)
−0.758861 + 0.651252i \(0.774244\pi\)
\(564\) −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 0.733551 0.679634i \(-0.237861\pi\)
−0.955356 + 0.295457i \(0.904528\pi\)
\(578\) −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 0.939249 0.343236i \(-0.111523\pi\)
−0.940134 + 0.340804i \(0.889301\pi\)
\(588\) 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 0.518811 0.854889i \(-0.326375\pi\)
−0.931992 + 0.362479i \(0.881930\pi\)
\(594\) 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 0.384593 0.923086i \(-0.374342\pi\)
−0.298733 + 0.954337i \(0.596564\pi\)
\(600\) −0.161761 + 8.16504i −0.00660388 + 0.333336i
\(601\) −16.1749 + 9.33861i −0.659790 + 0.380930i −0.792197 0.610266i \(-0.791063\pi\)
0.132407 + 0.991195i \(0.457729\pi\)
\(602\) −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 \(-0.658553\pi\)
0.477766 0.878487i \(-0.341447\pi\)
\(608\) 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 0.493902 0.869518i \(-0.335570\pi\)
−0.770542 + 0.637389i \(0.780015\pi\)
\(614\) 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 0.621429 + 0.783470i \(0.286552\pi\)
−0.979647 + 0.200726i \(0.935670\pi\)
\(618\) −2.72905 17.4972i −0.109779 0.703841i
\(619\) −9.72654 + 16.8469i −0.390943 + 0.677133i −0.992574 0.121641i \(-0.961184\pi\)
0.601631 + 0.798774i \(0.294518\pi\)
\(620\) −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 −0.843799 0.536660i \(-0.819686\pi\)
0.381982 + 0.924170i \(0.375241\pi\)
\(632\) −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 −0.133166 0.991094i \(-0.542514\pi\)
−0.999161 + 0.0409586i \(0.986959\pi\)
\(642\) 7.25654 18.7716i 0.286393 0.740858i
\(643\) 1.81700 10.3047i 0.0716554 0.406378i −0.927791 0.373101i \(-0.878295\pi\)
0.999446 0.0332769i \(-0.0105943\pi\)
\(644\) 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 \(-0.902955\pi\)
0.953884 0.300174i \(-0.0970448\pi\)
\(648\) −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 −0.544818 0.838555i \(-0.683401\pi\)
0.453801 + 0.891103i \(0.350068\pi\)
\(654\) −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 0.847694 + 0.530486i \(0.177991\pi\)
−0.615134 + 0.788422i \(0.710898\pi\)
\(660\) 1.31624 + 0.259071i 0.0512346 + 0.0100843i
\(661\) 11.2236 + 13.3757i 0.436546 + 0.520256i 0.938799 0.344465i \(-0.111940\pi\)
−0.502253 + 0.864721i \(0.667495\pi\)
\(662\) 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 −0.474863 0.880060i \(-0.657502\pi\)
−0.999586 + 0.0287864i \(0.990836\pi\)
\(674\) 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 0.630593 0.776114i \(-0.282812\pi\)
−0.987431 + 0.158053i \(0.949478\pi\)
\(678\) −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 0.973038 0.230646i \(-0.0740839\pi\)
−0.686264 + 0.727352i \(0.740751\pi\)
\(692\) −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 0.993140 0.116931i \(-0.0373057\pi\)
−0.835951 + 0.548804i \(0.815083\pi\)
\(702\) −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 −0.803369 0.595481i \(-0.796961\pi\)
0.551253 0.834338i \(-0.314150\pi\)
\(710\) −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 −0.335098 0.942183i \(-0.608769\pi\)
−0.637135 + 0.770752i \(0.719881\pi\)
\(720\) −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 0.960801 0.277240i \(-0.0894196\pi\)
−0.106187 + 0.994346i \(0.533864\pi\)
\(728\) −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 −0.762339 0.647178i \(-0.775949\pi\)
0.941642 + 0.336616i \(0.109282\pi\)
\(734\) 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 −0.996322 0.0856846i \(-0.972692\pi\)
−0.708150 + 0.706062i \(0.750470\pi\)
\(740\) −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 −0.222704 0.974886i \(-0.571488\pi\)
0.456043 + 0.889958i \(0.349266\pi\)
\(744\) −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 −0.715505 0.698607i \(-0.753804\pi\)
0.997165 0.0752462i \(-0.0239743\pi\)
\(752\) 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 0.142523 + 0.989791i \(0.454478\pi\)
−0.472457 + 0.881354i \(0.656633\pi\)
\(758\) −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 \(0.0986888\pi\)
−0.952321 + 0.305097i \(0.901311\pi\)
\(762\) −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