Properties

Label 114.2.i.a.55.1
Level $114$
Weight $2$
Character 114.55
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
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.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \( x^{6} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 55.1
Root \(-0.173648 + 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 114.55
Dual form 114.2.i.a.85.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 + 0.984808i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-3.20574 + 1.16679i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.43969 + 4.22567i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\) \(q+(-0.173648 + 0.984808i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-3.20574 + 1.16679i) q^{5} +(-0.766044 + 0.642788i) q^{6} +(2.43969 + 4.22567i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-0.592396 - 3.35965i) q^{10} +(1.70574 - 2.95442i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(2.08125 - 1.74638i) q^{13} +(-4.58512 + 1.66885i) q^{14} +(-3.20574 - 1.16679i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.205737 - 1.16679i) q^{17} -1.00000 q^{18} +(-2.52094 - 3.55596i) q^{19} +3.41147 q^{20} +(-0.847296 + 4.80526i) q^{21} +(2.61334 + 2.19285i) q^{22} +(3.20574 + 1.16679i) q^{23} +(0.939693 - 0.342020i) q^{24} +(5.08512 - 4.26692i) q^{25} +(1.35844 + 2.35289i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-0.847296 - 4.80526i) q^{28} +(0.655230 + 3.71599i) q^{29} +(1.70574 - 2.95442i) q^{30} +(-3.30793 - 5.72951i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(3.20574 - 1.16679i) q^{33} +(1.11334 + 0.405223i) q^{34} +(-12.7515 - 10.6998i) q^{35} +(0.173648 - 0.984808i) q^{36} +6.75877 q^{37} +(3.93969 - 1.86516i) q^{38} +2.71688 q^{39} +(-0.592396 + 3.35965i) q^{40} +(5.02094 + 4.21307i) q^{41} +(-4.58512 - 1.66885i) q^{42} +(-3.91875 + 1.42631i) q^{43} +(-2.61334 + 2.19285i) q^{44} +(-1.70574 - 2.95442i) q^{45} +(-1.70574 + 2.95442i) q^{46} +(0.496130 + 2.81369i) q^{47} +(0.173648 + 0.984808i) q^{48} +(-8.40420 + 14.5565i) q^{49} +(3.31908 + 5.74881i) q^{50} +(0.907604 - 0.761570i) q^{51} +(-2.55303 + 0.929228i) q^{52} +(-0.592396 - 0.215615i) q^{53} +(-0.766044 - 0.642788i) q^{54} +(-2.02094 + 11.4613i) q^{55} +4.87939 q^{56} +(0.354570 - 4.34445i) q^{57} -3.77332 q^{58} +(2.02094 - 11.4613i) q^{59} +(2.61334 + 2.19285i) q^{60} +(-6.48545 - 2.36051i) q^{61} +(6.21688 - 2.26276i) q^{62} +(-3.73783 + 3.13641i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-4.63429 + 8.02682i) q^{65} +(0.592396 + 3.35965i) q^{66} +(0.123141 + 0.698367i) q^{67} +(-0.592396 + 1.02606i) q^{68} +(1.70574 + 2.95442i) q^{69} +(12.7515 - 10.6998i) q^{70} +(-7.47818 + 2.72183i) q^{71} +(0.939693 + 0.342020i) q^{72} +(-9.76264 - 8.19183i) q^{73} +(-1.17365 + 6.65609i) q^{74} +6.63816 q^{75} +(1.15270 + 4.20372i) q^{76} +16.6459 q^{77} +(-0.471782 + 2.67561i) q^{78} +(0.228026 + 0.191336i) q^{79} +(-3.20574 - 1.16679i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-5.02094 + 4.21307i) q^{82} +(-7.80200 - 13.5135i) q^{83} +(2.43969 - 4.22567i) q^{84} +(0.701867 + 3.98048i) q^{85} +(-0.724155 - 4.10689i) q^{86} +(-1.88666 + 3.26779i) q^{87} +(-1.70574 - 2.95442i) q^{88} +(5.18866 - 4.35381i) q^{89} +(3.20574 - 1.16679i) q^{90} +(12.4572 + 4.53406i) q^{91} +(-2.61334 - 2.19285i) q^{92} +(1.14883 - 6.51536i) q^{93} -2.85710 q^{94} +(12.2306 + 8.45805i) q^{95} -1.00000 q^{96} +(-1.23736 + 7.01741i) q^{97} +(-12.8760 - 10.8042i) q^{98} +(3.20574 + 1.16679i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8} - 3 q^{12} + 15 q^{13} - 6 q^{14} - 9 q^{15} - 9 q^{17} - 6 q^{18} - 12 q^{19} - 3 q^{21} + 9 q^{22} + 9 q^{23} + 9 q^{25} - 3 q^{27} - 3 q^{28} - 9 q^{29} - 9 q^{31} + 9 q^{33} - 36 q^{35} + 18 q^{37} + 18 q^{38} + 27 q^{41} - 6 q^{42} - 21 q^{43} - 9 q^{44} + 27 q^{47} - 12 q^{49} + 3 q^{50} + 9 q^{51} - 3 q^{52} - 9 q^{55} + 18 q^{56} + 18 q^{57} - 36 q^{58} + 9 q^{59} + 9 q^{60} - 3 q^{61} + 21 q^{62} - 3 q^{63} - 3 q^{64} - 18 q^{65} - 3 q^{67} + 36 q^{70} + 9 q^{71} - 12 q^{73} - 6 q^{74} + 6 q^{75} + 9 q^{76} + 18 q^{77} + 12 q^{78} - 21 q^{79} - 9 q^{80} - 27 q^{82} - 9 q^{83} + 9 q^{84} + 18 q^{85} - 6 q^{86} - 18 q^{87} + 9 q^{90} + 24 q^{91} - 9 q^{92} + 33 q^{93} - 18 q^{94} + 36 q^{95} - 6 q^{96} - 54 q^{97} - 24 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 + 0.984808i −0.122788 + 0.696364i
\(3\) 0.766044 + 0.642788i 0.442276 + 0.371114i
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) −3.20574 + 1.16679i −1.43365 + 0.521806i −0.937975 0.346703i \(-0.887301\pi\)
−0.495674 + 0.868509i \(0.665079\pi\)
\(6\) −0.766044 + 0.642788i −0.312736 + 0.262417i
\(7\) 2.43969 + 4.22567i 0.922117 + 1.59715i 0.796133 + 0.605121i \(0.206875\pi\)
0.125984 + 0.992032i \(0.459791\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 0.173648 + 0.984808i 0.0578827 + 0.328269i
\(10\) −0.592396 3.35965i −0.187332 1.06241i
\(11\) 1.70574 2.95442i 0.514299 0.890792i −0.485563 0.874202i \(-0.661385\pi\)
0.999862 0.0165906i \(-0.00528120\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 2.08125 1.74638i 0.577235 0.484358i −0.306803 0.951773i \(-0.599259\pi\)
0.884038 + 0.467415i \(0.154815\pi\)
\(14\) −4.58512 + 1.66885i −1.22543 + 0.446018i
\(15\) −3.20574 1.16679i −0.827718 0.301265i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 0.205737 1.16679i 0.0498986 0.282989i −0.949641 0.313341i \(-0.898552\pi\)
0.999539 + 0.0303521i \(0.00966285\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.52094 3.55596i −0.578344 0.815793i
\(20\) 3.41147 0.762829
\(21\) −0.847296 + 4.80526i −0.184895 + 1.04859i
\(22\) 2.61334 + 2.19285i 0.557166 + 0.467518i
\(23\) 3.20574 + 1.16679i 0.668442 + 0.243293i 0.653877 0.756601i \(-0.273141\pi\)
0.0145653 + 0.999894i \(0.495364\pi\)
\(24\) 0.939693 0.342020i 0.191814 0.0698146i
\(25\) 5.08512 4.26692i 1.01702 0.853385i
\(26\) 1.35844 + 2.35289i 0.266412 + 0.461439i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) −0.847296 4.80526i −0.160124 0.908108i
\(29\) 0.655230 + 3.71599i 0.121673 + 0.690043i 0.983228 + 0.182379i \(0.0583797\pi\)
−0.861555 + 0.507664i \(0.830509\pi\)
\(30\) 1.70574 2.95442i 0.311424 0.539401i
\(31\) −3.30793 5.72951i −0.594122 1.02905i −0.993670 0.112338i \(-0.964166\pi\)
0.399548 0.916712i \(-0.369167\pi\)
\(32\) −0.766044 + 0.642788i −0.135419 + 0.113630i
\(33\) 3.20574 1.16679i 0.558047 0.203113i
\(34\) 1.11334 + 0.405223i 0.190936 + 0.0694952i
\(35\) −12.7515 10.6998i −2.15540 1.80859i
\(36\) 0.173648 0.984808i 0.0289414 0.164135i
\(37\) 6.75877 1.11114 0.555568 0.831471i \(-0.312501\pi\)
0.555568 + 0.831471i \(0.312501\pi\)
\(38\) 3.93969 1.86516i 0.639103 0.302569i
\(39\) 2.71688 0.435049
\(40\) −0.592396 + 3.35965i −0.0936661 + 0.531207i
\(41\) 5.02094 + 4.21307i 0.784140 + 0.657971i 0.944288 0.329122i \(-0.106753\pi\)
−0.160148 + 0.987093i \(0.551197\pi\)
\(42\) −4.58512 1.66885i −0.707500 0.257509i
\(43\) −3.91875 + 1.42631i −0.597603 + 0.217510i −0.623070 0.782166i \(-0.714115\pi\)
0.0254669 + 0.999676i \(0.491893\pi\)
\(44\) −2.61334 + 2.19285i −0.393976 + 0.330585i
\(45\) −1.70574 2.95442i −0.254276 0.440419i
\(46\) −1.70574 + 2.95442i −0.251497 + 0.435606i
\(47\) 0.496130 + 2.81369i 0.0723679 + 0.410419i 0.999374 + 0.0353731i \(0.0112619\pi\)
−0.927006 + 0.375046i \(0.877627\pi\)
\(48\) 0.173648 + 0.984808i 0.0250640 + 0.142145i
\(49\) −8.40420 + 14.5565i −1.20060 + 2.07950i
\(50\) 3.31908 + 5.74881i 0.469388 + 0.813005i
\(51\) 0.907604 0.761570i 0.127090 0.106641i
\(52\) −2.55303 + 0.929228i −0.354042 + 0.128861i
\(53\) −0.592396 0.215615i −0.0813719 0.0296169i 0.301013 0.953620i \(-0.402675\pi\)
−0.382385 + 0.924003i \(0.624897\pi\)
\(54\) −0.766044 0.642788i −0.104245 0.0874723i
\(55\) −2.02094 + 11.4613i −0.272504 + 1.54545i
\(56\) 4.87939 0.652035
\(57\) 0.354570 4.34445i 0.0469640 0.575437i
\(58\) −3.77332 −0.495461
\(59\) 2.02094 11.4613i 0.263105 1.49214i −0.511274 0.859418i \(-0.670826\pi\)
0.774379 0.632722i \(-0.218063\pi\)
\(60\) 2.61334 + 2.19285i 0.337381 + 0.283096i
\(61\) −6.48545 2.36051i −0.830377 0.302233i −0.108363 0.994111i \(-0.534561\pi\)
−0.722014 + 0.691879i \(0.756783\pi\)
\(62\) 6.21688 2.26276i 0.789545 0.287371i
\(63\) −3.73783 + 3.13641i −0.470922 + 0.395150i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −4.63429 + 8.02682i −0.574812 + 0.995604i
\(66\) 0.592396 + 3.35965i 0.0729189 + 0.413544i
\(67\) 0.123141 + 0.698367i 0.0150441 + 0.0853191i 0.991405 0.130826i \(-0.0417628\pi\)
−0.976361 + 0.216145i \(0.930652\pi\)
\(68\) −0.592396 + 1.02606i −0.0718386 + 0.124428i
\(69\) 1.70574 + 2.95442i 0.205347 + 0.355671i
\(70\) 12.7515 10.6998i 1.52410 1.27887i
\(71\) −7.47818 + 2.72183i −0.887496 + 0.323022i −0.745231 0.666806i \(-0.767661\pi\)
−0.142265 + 0.989829i \(0.545439\pi\)
\(72\) 0.939693 + 0.342020i 0.110744 + 0.0403075i
\(73\) −9.76264 8.19183i −1.14263 0.958781i −0.143109 0.989707i \(-0.545710\pi\)
−0.999522 + 0.0309259i \(0.990154\pi\)
\(74\) −1.17365 + 6.65609i −0.136434 + 0.773755i
\(75\) 6.63816 0.766508
\(76\) 1.15270 + 4.20372i 0.132224 + 0.482200i
\(77\) 16.6459 1.89698
\(78\) −0.471782 + 2.67561i −0.0534187 + 0.302953i
\(79\) 0.228026 + 0.191336i 0.0256549 + 0.0215270i 0.655525 0.755174i \(-0.272447\pi\)
−0.629870 + 0.776701i \(0.716892\pi\)
\(80\) −3.20574 1.16679i −0.358412 0.130451i
\(81\) −0.939693 + 0.342020i −0.104410 + 0.0380022i
\(82\) −5.02094 + 4.21307i −0.554471 + 0.465256i
\(83\) −7.80200 13.5135i −0.856381 1.48330i −0.875358 0.483476i \(-0.839374\pi\)
0.0189766 0.999820i \(-0.493959\pi\)
\(84\) 2.43969 4.22567i 0.266192 0.461059i
\(85\) 0.701867 + 3.98048i 0.0761281 + 0.431744i
\(86\) −0.724155 4.10689i −0.0780877 0.442857i
\(87\) −1.88666 + 3.26779i −0.202271 + 0.350344i
\(88\) −1.70574 2.95442i −0.181832 0.314943i
\(89\) 5.18866 4.35381i 0.549997 0.461502i −0.324943 0.945734i \(-0.605345\pi\)
0.874940 + 0.484231i \(0.160901\pi\)
\(90\) 3.20574 1.16679i 0.337914 0.122991i
\(91\) 12.4572 + 4.53406i 1.30587 + 0.475299i
\(92\) −2.61334 2.19285i −0.272460 0.228621i
\(93\) 1.14883 6.51536i 0.119128 0.675611i
\(94\) −2.85710 −0.294687
\(95\) 12.2306 + 8.45805i 1.25483 + 0.867777i
\(96\) −1.00000 −0.102062
\(97\) −1.23736 + 7.01741i −0.125635 + 0.712510i 0.855294 + 0.518143i \(0.173376\pi\)
−0.980929 + 0.194367i \(0.937735\pi\)
\(98\) −12.8760 10.8042i −1.30067 1.09139i
\(99\) 3.20574 + 1.16679i 0.322189 + 0.117267i
\(100\) −6.23783 + 2.27038i −0.623783 + 0.227038i
\(101\) −3.55896 + 2.98632i −0.354130 + 0.297150i −0.802446 0.596725i \(-0.796468\pi\)
0.448316 + 0.893875i \(0.352024\pi\)
\(102\) 0.592396 + 1.02606i 0.0586560 + 0.101595i
\(103\) 6.19119 10.7235i 0.610036 1.05661i −0.381198 0.924494i \(-0.624488\pi\)
0.991234 0.132120i \(-0.0421784\pi\)
\(104\) −0.471782 2.67561i −0.0462620 0.262365i
\(105\) −2.89053 16.3930i −0.282087 1.59979i
\(106\) 0.315207 0.545955i 0.0306157 0.0530279i
\(107\) −1.94949 3.37662i −0.188465 0.326430i 0.756274 0.654255i \(-0.227018\pi\)
−0.944739 + 0.327825i \(0.893684\pi\)
\(108\) 0.766044 0.642788i 0.0737127 0.0618523i
\(109\) 10.8969 3.96616i 1.04374 0.379889i 0.237441 0.971402i \(-0.423691\pi\)
0.806295 + 0.591513i \(0.201469\pi\)
\(110\) −10.9363 3.98048i −1.04273 0.379524i
\(111\) 5.17752 + 4.34445i 0.491428 + 0.412357i
\(112\) −0.847296 + 4.80526i −0.0800620 + 0.454054i
\(113\) 1.94087 0.182582 0.0912911 0.995824i \(-0.470901\pi\)
0.0912911 + 0.995824i \(0.470901\pi\)
\(114\) 4.21688 + 1.10359i 0.394947 + 0.103361i
\(115\) −11.6382 −1.08526
\(116\) 0.655230 3.71599i 0.0608366 0.345021i
\(117\) 2.08125 + 1.74638i 0.192412 + 0.161453i
\(118\) 10.9363 + 3.98048i 1.00677 + 0.366433i
\(119\) 5.43242 1.97724i 0.497989 0.181253i
\(120\) −2.61334 + 2.19285i −0.238564 + 0.200179i
\(121\) −0.319078 0.552659i −0.0290071 0.0502417i
\(122\) 3.45084 5.97702i 0.312424 0.541134i
\(123\) 1.13816 + 6.45480i 0.102624 + 0.582010i
\(124\) 1.14883 + 6.51536i 0.103168 + 0.585096i
\(125\) −2.79426 + 4.83981i −0.249926 + 0.432885i
\(126\) −2.43969 4.22567i −0.217345 0.376453i
\(127\) −4.66044 + 3.91058i −0.413548 + 0.347008i −0.825702 0.564106i \(-0.809221\pi\)
0.412155 + 0.911114i \(0.364776\pi\)
\(128\) 0.939693 0.342020i 0.0830579 0.0302306i
\(129\) −3.91875 1.42631i −0.345027 0.125579i
\(130\) −7.10014 5.95772i −0.622723 0.522527i
\(131\) −3.23055 + 18.3214i −0.282255 + 1.60075i 0.432676 + 0.901550i \(0.357570\pi\)
−0.714930 + 0.699196i \(0.753542\pi\)
\(132\) −3.41147 −0.296931
\(133\) 8.87598 19.3281i 0.769645 1.67596i
\(134\) −0.709141 −0.0612604
\(135\) 0.592396 3.35965i 0.0509854 0.289152i
\(136\) −0.907604 0.761570i −0.0778264 0.0653041i
\(137\) −4.27244 1.55504i −0.365019 0.132856i 0.152998 0.988227i \(-0.451107\pi\)
−0.518017 + 0.855370i \(0.673330\pi\)
\(138\) −3.20574 + 1.16679i −0.272890 + 0.0993240i
\(139\) −2.30928 + 1.93771i −0.195870 + 0.164355i −0.735448 0.677581i \(-0.763028\pi\)
0.539578 + 0.841936i \(0.318584\pi\)
\(140\) 8.32295 + 14.4158i 0.703418 + 1.21835i
\(141\) −1.42855 + 2.47432i −0.120305 + 0.208375i
\(142\) −1.38191 7.83721i −0.115967 0.657684i
\(143\) −1.60947 9.12776i −0.134591 0.763302i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −6.43629 11.1480i −0.534505 0.925789i
\(146\) 9.76264 8.19183i 0.807962 0.677961i
\(147\) −15.7947 + 5.74881i −1.30273 + 0.474154i
\(148\) −6.35117 2.31164i −0.522063 0.190015i
\(149\) 0.907604 + 0.761570i 0.0743538 + 0.0623902i 0.679207 0.733947i \(-0.262324\pi\)
−0.604853 + 0.796337i \(0.706768\pi\)
\(150\) −1.15270 + 6.53731i −0.0941179 + 0.533769i
\(151\) −3.63816 −0.296069 −0.148034 0.988982i \(-0.547295\pi\)
−0.148034 + 0.988982i \(0.547295\pi\)
\(152\) −4.34002 + 0.405223i −0.352022 + 0.0328679i
\(153\) 1.18479 0.0957848
\(154\) −2.89053 + 16.3930i −0.232926 + 1.32099i
\(155\) 17.2895 + 14.5076i 1.38873 + 1.16528i
\(156\) −2.55303 0.929228i −0.204406 0.0743978i
\(157\) −5.89306 + 2.14490i −0.470317 + 0.171181i −0.566296 0.824202i \(-0.691624\pi\)
0.0959789 + 0.995383i \(0.469402\pi\)
\(158\) −0.228026 + 0.191336i −0.0181408 + 0.0152219i
\(159\) −0.315207 0.545955i −0.0249976 0.0432971i
\(160\) 1.70574 2.95442i 0.134850 0.233568i
\(161\) 2.89053 + 16.3930i 0.227806 + 1.29195i
\(162\) −0.173648 0.984808i −0.0136431 0.0773738i
\(163\) 9.64930 16.7131i 0.755792 1.30907i −0.189188 0.981941i \(-0.560586\pi\)
0.944980 0.327128i \(-0.106081\pi\)
\(164\) −3.27719 5.67626i −0.255905 0.443241i
\(165\) −8.91534 + 7.48086i −0.694059 + 0.582384i
\(166\) 14.6630 5.33688i 1.13807 0.414223i
\(167\) 7.25624 + 2.64106i 0.561505 + 0.204371i 0.607151 0.794587i \(-0.292312\pi\)
−0.0456458 + 0.998958i \(0.514535\pi\)
\(168\) 3.73783 + 3.13641i 0.288380 + 0.241979i
\(169\) −0.975652 + 5.53320i −0.0750501 + 0.425631i
\(170\) −4.04189 −0.309999
\(171\) 3.06418 3.10013i 0.234324 0.237073i
\(172\) 4.17024 0.317978
\(173\) −2.51707 + 14.2750i −0.191370 + 1.08531i 0.726125 + 0.687563i \(0.241319\pi\)
−0.917495 + 0.397748i \(0.869792\pi\)
\(174\) −2.89053 2.42544i −0.219130 0.183872i
\(175\) 30.4368 + 11.0781i 2.30080 + 0.837424i
\(176\) 3.20574 1.16679i 0.241642 0.0879503i
\(177\) 8.91534 7.48086i 0.670118 0.562296i
\(178\) 3.38666 + 5.86587i 0.253841 + 0.439665i
\(179\) 4.91147 8.50692i 0.367101 0.635837i −0.622010 0.783009i \(-0.713684\pi\)
0.989111 + 0.147172i \(0.0470171\pi\)
\(180\) 0.592396 + 3.35965i 0.0441546 + 0.250413i
\(181\) 3.28446 + 18.6271i 0.244132 + 1.38454i 0.822499 + 0.568766i \(0.192579\pi\)
−0.578367 + 0.815777i \(0.696310\pi\)
\(182\) −6.62836 + 11.4806i −0.491326 + 0.851002i
\(183\) −3.45084 5.97702i −0.255093 0.441834i
\(184\) 2.61334 2.19285i 0.192658 0.161659i
\(185\) −21.6668 + 7.88609i −1.59298 + 0.579797i
\(186\) 6.21688 + 2.26276i 0.455844 + 0.165914i
\(187\) −3.09627 2.59808i −0.226421 0.189990i
\(188\) 0.496130 2.81369i 0.0361840 0.205209i
\(189\) −4.87939 −0.354923
\(190\) −10.4534 + 10.5760i −0.758367 + 0.767265i
\(191\) −10.0915 −0.730197 −0.365098 0.930969i \(-0.618965\pi\)
−0.365098 + 0.930969i \(0.618965\pi\)
\(192\) 0.173648 0.984808i 0.0125320 0.0710724i
\(193\) 1.93376 + 1.62262i 0.139195 + 0.116799i 0.709727 0.704477i \(-0.248818\pi\)
−0.570532 + 0.821276i \(0.693263\pi\)
\(194\) −6.69594 2.43712i −0.480740 0.174975i
\(195\) −8.70961 + 3.17004i −0.623708 + 0.227011i
\(196\) 12.8760 10.8042i 0.919713 0.771731i
\(197\) −7.42855 12.8666i −0.529262 0.916709i −0.999418 0.0341253i \(-0.989135\pi\)
0.470155 0.882584i \(-0.344198\pi\)
\(198\) −1.70574 + 2.95442i −0.121221 + 0.209962i
\(199\) 1.40121 + 7.94664i 0.0993289 + 0.563322i 0.993335 + 0.115267i \(0.0367723\pi\)
−0.894006 + 0.448056i \(0.852117\pi\)
\(200\) −1.15270 6.53731i −0.0815085 0.462257i
\(201\) −0.354570 + 0.614134i −0.0250095 + 0.0433177i
\(202\) −2.32295 4.02346i −0.163442 0.283090i
\(203\) −14.1040 + 11.8347i −0.989907 + 0.830631i
\(204\) −1.11334 + 0.405223i −0.0779494 + 0.0283713i
\(205\) −21.0116 7.64760i −1.46751 0.534132i
\(206\) 9.48545 + 7.95924i 0.660883 + 0.554546i
\(207\) −0.592396 + 3.35965i −0.0411744 + 0.233512i
\(208\) 2.71688 0.188382
\(209\) −14.8059 + 1.38241i −1.02414 + 0.0956231i
\(210\) 16.6459 1.14868
\(211\) 1.37939 7.82288i 0.0949608 0.538549i −0.899799 0.436306i \(-0.856287\pi\)
0.994759 0.102244i \(-0.0326022\pi\)
\(212\) 0.482926 + 0.405223i 0.0331675 + 0.0278308i
\(213\) −7.47818 2.72183i −0.512396 0.186497i
\(214\) 3.66385 1.33353i 0.250455 0.0911583i
\(215\) 10.8983 9.14473i 0.743256 0.623666i
\(216\) 0.500000 + 0.866025i 0.0340207 + 0.0589256i
\(217\) 16.1407 27.9565i 1.09570 1.89781i
\(218\) 2.01367 + 11.4201i 0.136383 + 0.773466i
\(219\) −2.21301 12.5506i −0.149541 0.848092i
\(220\) 5.81908 10.0789i 0.392322 0.679522i
\(221\) −1.60947 2.78768i −0.108265 0.187520i
\(222\) −5.17752 + 4.34445i −0.347492 + 0.291581i
\(223\) −11.2464 + 4.09337i −0.753118 + 0.274112i −0.689917 0.723888i \(-0.742353\pi\)
−0.0632006 + 0.998001i \(0.520131\pi\)
\(224\) −4.58512 1.66885i −0.306356 0.111505i
\(225\) 5.08512 + 4.26692i 0.339008 + 0.284462i
\(226\) −0.337029 + 1.91139i −0.0224189 + 0.127144i
\(227\) 26.5945 1.76514 0.882570 0.470181i \(-0.155811\pi\)
0.882570 + 0.470181i \(0.155811\pi\)
\(228\) −1.81908 + 3.96118i −0.120471 + 0.262336i
\(229\) −19.9026 −1.31520 −0.657601 0.753367i \(-0.728429\pi\)
−0.657601 + 0.753367i \(0.728429\pi\)
\(230\) 2.02094 11.4613i 0.133257 0.755739i
\(231\) 12.7515 + 10.6998i 0.838987 + 0.703994i
\(232\) 3.54576 + 1.29055i 0.232791 + 0.0847288i
\(233\) 4.05051 1.47426i 0.265358 0.0965822i −0.205915 0.978570i \(-0.566017\pi\)
0.471273 + 0.881988i \(0.343795\pi\)
\(234\) −2.08125 + 1.74638i −0.136056 + 0.114164i
\(235\) −4.87346 8.44107i −0.317909 0.550635i
\(236\) −5.81908 + 10.0789i −0.378790 + 0.656083i
\(237\) 0.0516892 + 0.293144i 0.00335758 + 0.0190418i
\(238\) 1.00387 + 5.69323i 0.0650713 + 0.369037i
\(239\) −0.142903 + 0.247516i −0.00924366 + 0.0160105i −0.870610 0.491973i \(-0.836276\pi\)
0.861367 + 0.507984i \(0.169609\pi\)
\(240\) −1.70574 2.95442i −0.110105 0.190707i
\(241\) 7.32816 6.14906i 0.472048 0.396096i −0.375493 0.926825i \(-0.622526\pi\)
0.847541 + 0.530730i \(0.178082\pi\)
\(242\) 0.599670 0.218262i 0.0385483 0.0140304i
\(243\) −0.939693 0.342020i −0.0602813 0.0219406i
\(244\) 5.28699 + 4.43631i 0.338465 + 0.284006i
\(245\) 9.95723 56.4703i 0.636144 3.60775i
\(246\) −6.55438 −0.417892
\(247\) −11.4568 2.99832i −0.728977 0.190779i
\(248\) −6.61587 −0.420108
\(249\) 2.70961 15.3669i 0.171714 0.973841i
\(250\) −4.28106 3.59224i −0.270758 0.227193i
\(251\) −27.8974 10.1538i −1.76087 0.640903i −0.760900 0.648870i \(-0.775242\pi\)
−0.999968 + 0.00796619i \(0.997464\pi\)
\(252\) 4.58512 1.66885i 0.288836 0.105128i
\(253\) 8.91534 7.48086i 0.560503 0.470318i
\(254\) −3.04189 5.26871i −0.190865 0.330588i
\(255\) −2.02094 + 3.50038i −0.126556 + 0.219202i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 2.74304 + 15.5566i 0.171106 + 0.970391i 0.942543 + 0.334085i \(0.108427\pi\)
−0.771437 + 0.636306i \(0.780462\pi\)
\(258\) 2.08512 3.61154i 0.129814 0.224845i
\(259\) 16.4893 + 28.5603i 1.02460 + 1.77465i
\(260\) 7.10014 5.95772i 0.440332 0.369482i
\(261\) −3.54576 + 1.29055i −0.219477 + 0.0798831i
\(262\) −17.4820 6.36295i −1.08004 0.393104i
\(263\) 8.32295 + 6.98378i 0.513215 + 0.430638i 0.862259 0.506468i \(-0.169049\pi\)
−0.349044 + 0.937106i \(0.613494\pi\)
\(264\) 0.592396 3.35965i 0.0364595 0.206772i
\(265\) 2.15064 0.132113
\(266\) 17.4932 + 12.0974i 1.07258 + 0.741741i
\(267\) 6.77332 0.414520
\(268\) 0.123141 0.698367i 0.00752203 0.0426596i
\(269\) −13.2476 11.1161i −0.807722 0.677759i 0.142341 0.989818i \(-0.454537\pi\)
−0.950063 + 0.312058i \(0.898982\pi\)
\(270\) 3.20574 + 1.16679i 0.195095 + 0.0710088i
\(271\) −1.35844 + 0.494432i −0.0825194 + 0.0300346i −0.382950 0.923769i \(-0.625092\pi\)
0.300431 + 0.953804i \(0.402870\pi\)
\(272\) 0.907604 0.761570i 0.0550316 0.0461770i
\(273\) 6.62836 + 11.4806i 0.401166 + 0.694840i
\(274\) 2.27332 3.93750i 0.137336 0.237873i
\(275\) −3.93242 22.3019i −0.237134 1.34485i
\(276\) −0.592396 3.35965i −0.0356581 0.202227i
\(277\) −10.5954 + 18.3518i −0.636615 + 1.10265i 0.349555 + 0.936916i \(0.386333\pi\)
−0.986170 + 0.165734i \(0.947001\pi\)
\(278\) −1.50727 2.61068i −0.0904003 0.156578i
\(279\) 5.06805 4.25260i 0.303416 0.254596i
\(280\) −15.6420 + 5.69323i −0.934790 + 0.340236i
\(281\) 22.8983 + 8.33429i 1.36600 + 0.497182i 0.917903 0.396805i \(-0.129881\pi\)
0.448093 + 0.893987i \(0.352103\pi\)
\(282\) −2.18866 1.83651i −0.130333 0.109362i
\(283\) −0.716415 + 4.06299i −0.0425864 + 0.241520i −0.998669 0.0515779i \(-0.983575\pi\)
0.956083 + 0.293098i \(0.0946861\pi\)
\(284\) 7.95811 0.472227
\(285\) 3.93242 + 14.3409i 0.232936 + 0.849481i
\(286\) 9.26857 0.548062
\(287\) −5.55350 + 31.4955i −0.327813 + 1.85912i
\(288\) −0.766044 0.642788i −0.0451396 0.0378766i
\(289\) 14.6557 + 5.33424i 0.862100 + 0.313779i
\(290\) 12.0963 4.40268i 0.710317 0.258534i
\(291\) −5.45858 + 4.58029i −0.319987 + 0.268501i
\(292\) 6.37211 + 11.0368i 0.372900 + 0.645881i
\(293\) −1.39053 + 2.40847i −0.0812356 + 0.140704i −0.903781 0.427995i \(-0.859220\pi\)
0.822545 + 0.568700i \(0.192553\pi\)
\(294\) −2.91875 16.5530i −0.170225 0.965393i
\(295\) 6.89440 + 39.1001i 0.401407 + 2.27649i
\(296\) 3.37939 5.85327i 0.196423 0.340214i
\(297\) 1.70574 + 2.95442i 0.0989769 + 0.171433i
\(298\) −0.907604 + 0.761570i −0.0525761 + 0.0441166i
\(299\) 8.70961 3.17004i 0.503690 0.183328i
\(300\) −6.23783 2.27038i −0.360141 0.131081i
\(301\) −15.5876 13.0796i −0.898457 0.753895i
\(302\) 0.631759 3.58288i 0.0363537 0.206172i
\(303\) −4.64590 −0.266900
\(304\) 0.354570 4.34445i 0.0203360 0.249172i
\(305\) 23.5449 1.34818
\(306\) −0.205737 + 1.16679i −0.0117612 + 0.0667011i
\(307\) −19.1689 16.0846i −1.09403 0.917998i −0.0970179 0.995283i \(-0.530930\pi\)
−0.997009 + 0.0772850i \(0.975375\pi\)
\(308\) −15.6420 5.69323i −0.891287 0.324402i
\(309\) 11.6356 4.23502i 0.661928 0.240922i
\(310\) −17.2895 + 14.5076i −0.981978 + 0.823978i
\(311\) −11.9868 20.7617i −0.679709 1.17729i −0.975068 0.221904i \(-0.928773\pi\)
0.295360 0.955386i \(-0.404561\pi\)
\(312\) 1.35844 2.35289i 0.0769066 0.133206i
\(313\) −2.19459 12.4462i −0.124046 0.703498i −0.981870 0.189555i \(-0.939295\pi\)
0.857824 0.513943i \(-0.171816\pi\)
\(314\) −1.08899 6.17598i −0.0614554 0.348531i
\(315\) 8.32295 14.4158i 0.468945 0.812237i
\(316\) −0.148833 0.257787i −0.00837252 0.0145016i
\(317\) −10.8268 + 9.08478i −0.608095 + 0.510252i −0.894036 0.447995i \(-0.852138\pi\)
0.285941 + 0.958247i \(0.407694\pi\)
\(318\) 0.592396 0.215615i 0.0332199 0.0120911i
\(319\) 12.0963 + 4.40268i 0.677261 + 0.246503i
\(320\) 2.61334 + 2.19285i 0.146090 + 0.122584i
\(321\) 0.677052 3.83975i 0.0377893 0.214314i
\(322\) −16.6459 −0.927640
\(323\) −4.66772 + 2.20983i −0.259719 + 0.122958i
\(324\) 1.00000 0.0555556
\(325\) 3.13176 17.7611i 0.173719 0.985208i
\(326\) 14.7836 + 12.4049i 0.818787 + 0.687044i
\(327\) 10.8969 + 3.96616i 0.602601 + 0.219329i
\(328\) 6.15910 2.24173i 0.340079 0.123779i
\(329\) −10.6793 + 8.96102i −0.588770 + 0.494037i
\(330\) −5.81908 10.0789i −0.320330 0.554827i
\(331\) −14.7490 + 25.5460i −0.810677 + 1.40413i 0.101714 + 0.994814i \(0.467567\pi\)
−0.912391 + 0.409320i \(0.865766\pi\)
\(332\) 2.70961 + 15.3669i 0.148709 + 0.843371i
\(333\) 1.17365 + 6.65609i 0.0643155 + 0.364751i
\(334\) −3.86097 + 6.68739i −0.211263 + 0.365918i
\(335\) −1.20961 2.09510i −0.0660879 0.114468i
\(336\) −3.73783 + 3.13641i −0.203915 + 0.171105i
\(337\) 20.9072 7.60960i 1.13889 0.414521i 0.297376 0.954760i \(-0.403889\pi\)
0.841511 + 0.540239i \(0.181666\pi\)
\(338\) −5.27972 1.92166i −0.287179 0.104524i
\(339\) 1.48680 + 1.24757i 0.0807517 + 0.0677587i
\(340\) 0.701867 3.98048i 0.0380641 0.215872i
\(341\) −22.5699 −1.22223
\(342\) 2.52094 + 3.55596i 0.136317 + 0.192284i
\(343\) −47.8590 −2.58414
\(344\) −0.724155 + 4.10689i −0.0390438 + 0.221429i
\(345\) −8.91534 7.48086i −0.479986 0.402756i
\(346\) −13.6211 4.95767i −0.732274 0.266526i
\(347\) 13.1792 4.79682i 0.707495 0.257507i 0.0368873 0.999319i \(-0.488256\pi\)
0.670607 + 0.741812i \(0.266034\pi\)
\(348\) 2.89053 2.42544i 0.154949 0.130017i
\(349\) 17.0560 + 29.5419i 0.912988 + 1.58134i 0.809820 + 0.586678i \(0.199565\pi\)
0.103168 + 0.994664i \(0.467102\pi\)
\(350\) −16.1951 + 28.0507i −0.865662 + 1.49937i
\(351\) 0.471782 + 2.67561i 0.0251818 + 0.142813i
\(352\) 0.592396 + 3.35965i 0.0315748 + 0.179070i
\(353\) −15.2219 + 26.3652i −0.810182 + 1.40328i 0.102555 + 0.994727i \(0.467298\pi\)
−0.912737 + 0.408549i \(0.866035\pi\)
\(354\) 5.81908 + 10.0789i 0.309280 + 0.535690i
\(355\) 20.7973 17.4510i 1.10380 0.926201i
\(356\) −6.36484 + 2.31661i −0.337336 + 0.122780i
\(357\) 5.43242 + 1.97724i 0.287514 + 0.104647i
\(358\) 7.52481 + 6.31407i 0.397699 + 0.333709i
\(359\) 2.36959 13.4386i 0.125062 0.709261i −0.856209 0.516629i \(-0.827187\pi\)
0.981271 0.192632i \(-0.0617024\pi\)
\(360\) −3.41147 −0.179800
\(361\) −6.28968 + 17.9287i −0.331036 + 0.943618i
\(362\) −18.9145 −0.994122
\(363\) 0.110815 0.628461i 0.00581626 0.0329856i
\(364\) −10.1552 8.52125i −0.532279 0.446635i
\(365\) 40.8546 + 14.8699i 2.13843 + 0.778324i
\(366\) 6.48545 2.36051i 0.339000 0.123386i
\(367\) 18.2062 15.2768i 0.950356 0.797443i −0.0290014 0.999579i \(-0.509233\pi\)
0.979357 + 0.202136i \(0.0647883\pi\)
\(368\) 1.70574 + 2.95442i 0.0889177 + 0.154010i
\(369\) −3.27719 + 5.67626i −0.170604 + 0.295494i
\(370\) −4.00387 22.7071i −0.208151 1.18048i
\(371\) −0.534148 3.02931i −0.0277316 0.157274i
\(372\) −3.30793 + 5.72951i −0.171508 + 0.297061i
\(373\) 11.6172 + 20.1216i 0.601516 + 1.04186i 0.992592 + 0.121498i \(0.0387699\pi\)
−0.391075 + 0.920359i \(0.627897\pi\)
\(374\) 3.09627 2.59808i 0.160104 0.134343i
\(375\) −5.25150 + 1.91139i −0.271186 + 0.0987037i
\(376\) 2.68479 + 0.977185i 0.138458 + 0.0503944i
\(377\) 7.85323 + 6.58964i 0.404462 + 0.339384i
\(378\) 0.847296 4.80526i 0.0435802 0.247156i
\(379\) −4.50030 −0.231165 −0.115583 0.993298i \(-0.536873\pi\)
−0.115583 + 0.993298i \(0.536873\pi\)
\(380\) −8.60014 12.1311i −0.441178 0.622310i
\(381\) −6.08378 −0.311681
\(382\) 1.75237 9.93821i 0.0896592 0.508483i
\(383\) 3.34002 + 2.80261i 0.170667 + 0.143207i 0.724121 0.689673i \(-0.242246\pi\)
−0.553453 + 0.832880i \(0.686690\pi\)
\(384\) 0.939693 + 0.342020i 0.0479535 + 0.0174536i
\(385\) −53.3624 + 19.4223i −2.71960 + 0.989853i
\(386\) −1.93376 + 1.62262i −0.0984259 + 0.0825892i
\(387\) −2.08512 3.61154i −0.105993 0.183585i
\(388\) 3.56283 6.17101i 0.180875 0.313286i
\(389\) −0.227559 1.29055i −0.0115377 0.0654335i 0.978495 0.206269i \(-0.0661322\pi\)
−0.990033 + 0.140836i \(0.955021\pi\)
\(390\) −1.60947 9.12776i −0.0814987 0.462202i
\(391\) 2.02094 3.50038i 0.102204 0.177022i
\(392\) 8.40420 + 14.5565i 0.424476 + 0.735214i
\(393\) −14.2515 + 11.9584i −0.718893 + 0.603223i
\(394\) 13.9611 5.08143i 0.703350 0.255999i
\(395\) −0.954241 0.347315i −0.0480131 0.0174753i
\(396\) −2.61334 2.19285i −0.131325 0.110195i
\(397\) −3.30154 + 18.7239i −0.165699 + 0.939728i 0.782641 + 0.622473i \(0.213872\pi\)
−0.948340 + 0.317255i \(0.897239\pi\)
\(398\) −8.06923 −0.404474
\(399\) 19.2233 9.10083i 0.962368 0.455612i
\(400\) 6.63816 0.331908
\(401\) 6.22756 35.3182i 0.310989 1.76371i −0.282888 0.959153i \(-0.591292\pi\)
0.593877 0.804556i \(-0.297597\pi\)
\(402\) −0.543233 0.455827i −0.0270940 0.0227346i
\(403\) −16.8905 6.14765i −0.841377 0.306236i
\(404\) 4.36571 1.58899i 0.217202 0.0790552i
\(405\) 2.61334 2.19285i 0.129858 0.108964i
\(406\) −9.20574 15.9448i −0.456873 0.791327i
\(407\) 11.5287 19.9683i 0.571456 0.989790i
\(408\) −0.205737 1.16679i −0.0101855 0.0577649i
\(409\) −5.05468 28.6665i −0.249938 1.41747i −0.808739 0.588167i \(-0.799850\pi\)
0.558801 0.829301i \(-0.311261\pi\)
\(410\) 11.1800 19.3644i 0.552143 0.956340i
\(411\) −2.27332 3.93750i −0.112135 0.194223i
\(412\) −9.48545 + 7.95924i −0.467315 + 0.392124i
\(413\) 53.3624 19.4223i 2.62579 0.955710i
\(414\) −3.20574 1.16679i −0.157553 0.0573447i
\(415\) 40.7786 + 34.2173i 2.00174 + 1.67966i
\(416\) −0.471782 + 2.67561i −0.0231310 + 0.131182i
\(417\) −3.01455 −0.147623
\(418\) 1.20961 14.8210i 0.0591638 0.724918i
\(419\) 13.1584 0.642829 0.321415 0.946939i \(-0.395842\pi\)
0.321415 + 0.946939i \(0.395842\pi\)
\(420\) −2.89053 + 16.3930i −0.141043 + 0.799897i
\(421\) −0.115400 0.0968323i −0.00562426 0.00471932i 0.639971 0.768399i \(-0.278946\pi\)
−0.645595 + 0.763680i \(0.723391\pi\)
\(422\) 7.46451 + 2.71686i 0.363367 + 0.132255i
\(423\) −2.68479 + 0.977185i −0.130539 + 0.0475123i
\(424\) −0.482926 + 0.405223i −0.0234530 + 0.0196794i
\(425\) −3.93242 6.81115i −0.190750 0.330389i
\(426\) 3.97906 6.89193i 0.192786 0.333915i
\(427\) −5.84776 33.1643i −0.282993 1.60493i
\(428\) 0.677052 + 3.83975i 0.0327265 + 0.185601i
\(429\) 4.63429 8.02682i 0.223745 0.387538i
\(430\) 7.11334 + 12.3207i 0.343036 + 0.594155i
\(431\) −23.5915 + 19.7956i −1.13636 + 0.953522i −0.999314 0.0370420i \(-0.988206\pi\)
−0.137050 + 0.990564i \(0.543762\pi\)
\(432\) −0.939693 + 0.342020i −0.0452110 + 0.0164555i
\(433\) 27.6587 + 10.0669i 1.32919 + 0.483786i 0.906392 0.422437i \(-0.138825\pi\)
0.422800 + 0.906223i \(0.361047\pi\)
\(434\) 24.7290 + 20.7501i 1.18703 + 0.996035i
\(435\) 2.23530 12.6770i 0.107174 0.607816i
\(436\) −11.5963 −0.555360
\(437\) −3.93242 14.3409i −0.188113 0.686018i
\(438\) 12.7442 0.608943
\(439\) 3.43835 19.4998i 0.164103 0.930677i −0.785881 0.618378i \(-0.787790\pi\)
0.949984 0.312298i \(-0.101099\pi\)
\(440\) 8.91534 + 7.48086i 0.425022 + 0.356636i
\(441\) −15.7947 5.74881i −0.752130 0.273753i
\(442\) 3.02481 1.10094i 0.143876 0.0523665i
\(443\) −14.2383 + 11.9473i −0.676482 + 0.567636i −0.914976 0.403508i \(-0.867791\pi\)
0.238494 + 0.971144i \(0.423346\pi\)
\(444\) −3.37939 5.85327i −0.160379 0.277784i
\(445\) −11.5535 + 20.0112i −0.547688 + 0.948624i
\(446\) −2.07826 11.7864i −0.0984084 0.558102i
\(447\) 0.205737 + 1.16679i 0.00973103 + 0.0551874i
\(448\) 2.43969 4.22567i 0.115265 0.199644i
\(449\) −1.68954 2.92637i −0.0797343 0.138104i 0.823401 0.567460i \(-0.192074\pi\)
−0.903135 + 0.429356i \(0.858741\pi\)
\(450\) −5.08512 + 4.26692i −0.239715 + 0.201145i
\(451\) 21.0116 7.64760i 0.989398 0.360111i
\(452\) −1.82383 0.663818i −0.0857855 0.0312234i
\(453\) −2.78699 2.33856i −0.130944 0.109875i
\(454\) −4.61809 + 26.1905i −0.216738 + 1.22918i
\(455\) −45.2249 −2.12018
\(456\) −3.58512 2.47929i −0.167889 0.116104i
\(457\) 21.7912 1.01935 0.509674 0.860368i \(-0.329766\pi\)
0.509674 + 0.860368i \(0.329766\pi\)
\(458\) 3.45605 19.6002i 0.161491 0.915859i
\(459\) 0.907604 + 0.761570i 0.0423633 + 0.0355470i
\(460\) 10.9363 + 3.98048i 0.509907 + 0.185591i
\(461\) −11.0544 + 4.02346i −0.514854 + 0.187391i −0.586363 0.810049i \(-0.699441\pi\)
0.0715092 + 0.997440i \(0.477218\pi\)
\(462\) −12.7515 + 10.6998i −0.593253 + 0.497799i
\(463\) −8.49660 14.7165i −0.394870 0.683935i 0.598214 0.801336i \(-0.295877\pi\)
−0.993085 + 0.117401i \(0.962544\pi\)
\(464\) −1.88666 + 3.26779i −0.0875860 + 0.151703i
\(465\) 3.91921 + 22.2270i 0.181749 + 1.03075i
\(466\) 0.748503 + 4.24497i 0.0346738 + 0.196645i
\(467\) 5.85251 10.1368i 0.270822 0.469077i −0.698251 0.715853i \(-0.746038\pi\)
0.969073 + 0.246776i \(0.0793712\pi\)
\(468\) −1.35844 2.35289i −0.0627939 0.108762i
\(469\) −2.65064 + 2.22415i −0.122395 + 0.102702i
\(470\) 9.15910 3.33364i 0.422478 0.153769i
\(471\) −5.89306 2.14490i −0.271538 0.0988316i
\(472\) −8.91534 7.48086i −0.410362 0.344335i
\(473\) −2.47044 + 14.0105i −0.113591 + 0.644206i
\(474\) −0.297667 −0.0136723
\(475\) −27.9923 7.32580i −1.28438 0.336131i
\(476\) −5.78106 −0.264974
\(477\) 0.109470 0.620838i 0.00501231 0.0284262i
\(478\) −0.218941 0.183713i −0.0100141 0.00840284i
\(479\) −28.1716 10.2536i −1.28719 0.468500i −0.394388 0.918944i \(-0.629043\pi\)
−0.892805 + 0.450444i \(0.851266\pi\)
\(480\) 3.20574 1.16679i 0.146321 0.0532566i
\(481\) 14.0667 11.8034i 0.641386 0.538187i
\(482\) 4.78312 + 8.28460i 0.217865 + 0.377353i
\(483\) −8.32295 + 14.4158i −0.378707 + 0.655940i
\(484\) 0.110815 + 0.628461i 0.00503703 + 0.0285664i
\(485\) −4.22122 23.9397i −0.191676 1.08705i
\(486\) 0.500000 0.866025i 0.0226805 0.0392837i
\(487\) −7.25537 12.5667i −0.328772 0.569450i 0.653496 0.756930i \(-0.273301\pi\)
−0.982268 + 0.187480i \(0.939968\pi\)
\(488\) −5.28699 + 4.43631i −0.239331 + 0.200822i
\(489\) 18.1348 6.60051i 0.820082 0.298485i
\(490\) 53.8833 + 19.6119i 2.43420 + 0.885976i
\(491\) −8.92855 7.49194i −0.402940 0.338107i 0.418689 0.908130i \(-0.362490\pi\)
−0.821629 + 0.570023i \(0.806934\pi\)
\(492\) 1.13816 6.45480i 0.0513120 0.291005i
\(493\) 4.47060 0.201346
\(494\) 4.94222 10.7621i 0.222361 0.484208i
\(495\) −11.6382 −0.523096
\(496\) 1.14883 6.51536i 0.0515841 0.292548i
\(497\) −29.7460 24.9599i −1.33429 1.11960i
\(498\) 14.6630 + 5.33688i 0.657063 + 0.239152i
\(499\) 1.58512 0.576937i 0.0709598 0.0258273i −0.306296 0.951936i \(-0.599090\pi\)
0.377256 + 0.926109i \(0.376868\pi\)
\(500\) 4.28106 3.59224i 0.191455 0.160650i
\(501\) 3.86097 + 6.68739i 0.172495 + 0.298771i
\(502\) 14.8439 25.7104i 0.662515 1.14751i
\(503\) 3.00299 + 17.0308i 0.133897 + 0.759367i 0.975622 + 0.219460i \(0.0704295\pi\)
−0.841725 + 0.539907i \(0.818459\pi\)
\(504\) 0.847296 + 4.80526i 0.0377416 + 0.214043i
\(505\) 7.92468 13.7259i 0.352644 0.610797i
\(506\) 5.81908 + 10.0789i 0.258690 + 0.448063i
\(507\) −4.30406 + 3.61154i −0.191150 + 0.160394i
\(508\) 5.71688 2.08077i 0.253646 0.0923194i
\(509\) −30.4859 11.0960i −1.35126 0.491820i −0.437922 0.899013i \(-0.644286\pi\)
−0.913342 + 0.407193i \(0.866508\pi\)
\(510\) −3.09627 2.59808i −0.137105 0.115045i
\(511\) 10.7981 61.2393i 0.477681 2.70907i
\(512\) −1.00000 −0.0441942
\(513\) 4.34002 0.405223i 0.191617 0.0178910i
\(514\) −15.7965 −0.696756
\(515\) −7.33527 + 41.6004i −0.323231 + 1.83313i
\(516\) 3.19459 + 2.68058i 0.140634 + 0.118006i
\(517\) 9.15910 + 3.33364i 0.402817 + 0.146613i
\(518\) −30.9898 + 11.2794i −1.36161 + 0.495587i
\(519\) −11.1040 + 9.31737i −0.487412 + 0.408987i
\(520\) 4.63429 + 8.02682i 0.203227 + 0.351999i
\(521\) −15.5822 + 26.9891i −0.682668 + 1.18242i 0.291496 + 0.956572i \(0.405847\pi\)
−0.974164 + 0.225843i \(0.927486\pi\)
\(522\) −0.655230 3.71599i −0.0286786 0.162645i
\(523\) −2.89306 16.4073i −0.126504 0.717443i −0.980403 0.197003i \(-0.936879\pi\)
0.853898 0.520440i \(-0.174232\pi\)
\(524\) 9.30200 16.1115i 0.406360 0.703836i
\(525\) 16.1951 + 28.0507i 0.706810 + 1.22423i
\(526\) −8.32295 + 6.98378i −0.362898 + 0.304507i
\(527\) −7.36571 + 2.68090i −0.320856 + 0.116782i
\(528\) 3.20574 + 1.16679i 0.139512 + 0.0507781i
\(529\) −8.70368 7.30325i −0.378421 0.317533i
\(530\) −0.373455 + 2.11797i −0.0162219 + 0.0919988i
\(531\) 11.6382 0.505053
\(532\) −14.9513 + 15.1267i −0.648221 + 0.655827i
\(533\) 17.8075 0.771327
\(534\) −1.17617 + 6.67042i −0.0508980 + 0.288657i
\(535\) 10.1894 + 8.54990i 0.440525 + 0.369645i
\(536\) 0.666374 + 0.242540i 0.0287830 + 0.0104761i
\(537\) 9.23055 3.35965i 0.398328 0.144979i
\(538\) 13.2476 11.1161i 0.571146 0.479248i
\(539\) 28.6707 + 49.6591i 1.23493 + 2.13897i
\(540\) −1.70574 + 2.95442i −0.0734032 + 0.127138i
\(541\) 6.29385 + 35.6942i 0.270594 + 1.53461i 0.752619 + 0.658456i \(0.228790\pi\)
−0.482025 + 0.876157i \(0.660099\pi\)
\(542\) −0.251030 1.42366i −0.0107826 0.0611514i
\(543\) −9.45723 + 16.3804i −0.405849 + 0.702951i
\(544\) 0.592396 + 1.02606i 0.0253988 + 0.0439920i
\(545\) −30.3050 + 25.4289i −1.29812 + 1.08925i
\(546\) −12.4572 + 4.53406i −0.533120 + 0.194040i
\(547\) 16.1604 + 5.88192i 0.690971 + 0.251493i 0.663551 0.748131i \(-0.269049\pi\)
0.0274199 + 0.999624i \(0.491271\pi\)
\(548\) 3.48293 + 2.92252i 0.148783 + 0.124844i
\(549\) 1.19846 6.79682i 0.0511492 0.290081i
\(550\) 22.6459 0.965624
\(551\) 11.5621 11.6978i 0.492563 0.498342i
\(552\) 3.41147 0.145202
\(553\) −0.252212 + 1.43036i −0.0107251 + 0.0608253i
\(554\) −16.2331 13.6212i −0.689677 0.578708i
\(555\) −21.6668 7.88609i −0.919706 0.334746i
\(556\) 2.83275 1.03104i 0.120135 0.0437257i
\(557\) −12.6932 + 10.6509i −0.537830 + 0.451293i −0.870795 0.491646i \(-0.836395\pi\)
0.332965 + 0.942939i \(0.391951\pi\)
\(558\) 3.30793 + 5.72951i 0.140036 + 0.242549i
\(559\) −5.66503 + 9.81212i −0.239605 + 0.415008i
\(560\) −2.89053 16.3930i −0.122147 0.692731i
\(561\) −0.701867 3.98048i −0.0296328 0.168056i
\(562\) −12.1839 + 21.1032i −0.513947 + 0.890183i
\(563\) 15.3486 + 26.5846i 0.646868 + 1.12041i 0.983867 + 0.178903i \(0.0572549\pi\)
−0.336999 + 0.941505i \(0.609412\pi\)
\(564\) 2.18866 1.83651i 0.0921593 0.0773309i
\(565\) −6.22193 + 2.26460i −0.261759 + 0.0952724i
\(566\) −3.87686 1.41106i −0.162957 0.0593113i
\(567\) −3.73783 3.13641i −0.156974 0.131717i
\(568\) −1.38191 + 7.83721i −0.0579837 + 0.328842i
\(569\) 13.4534 0.563994 0.281997 0.959415i \(-0.409003\pi\)
0.281997 + 0.959415i \(0.409003\pi\)
\(570\) −14.8059 + 1.38241i −0.620150 + 0.0579027i
\(571\) −9.47565 −0.396544 −0.198272 0.980147i \(-0.563533\pi\)
−0.198272 + 0.980147i \(0.563533\pi\)
\(572\) −1.60947 + 9.12776i −0.0672953 + 0.381651i
\(573\) −7.73055 6.48670i −0.322948 0.270986i
\(574\) −30.0526 10.9383i −1.25437 0.456554i
\(575\) 21.2802 7.74535i 0.887445 0.323004i
\(576\) 0.766044 0.642788i 0.0319185 0.0267828i
\(577\) 9.38191 + 16.2499i 0.390574 + 0.676494i 0.992525 0.122039i \(-0.0389432\pi\)
−0.601951 + 0.798533i \(0.705610\pi\)
\(578\) −7.79813 + 13.5068i −0.324360 + 0.561807i
\(579\) 0.438348 + 2.48600i 0.0182171 + 0.103315i
\(580\) 2.23530 + 12.6770i 0.0928158 + 0.526384i
\(581\) 38.0690 65.9374i 1.57937 2.73554i
\(582\) −3.56283 6.17101i −0.147684 0.255797i
\(583\) −1.64749 + 1.38241i −0.0682320 + 0.0572535i
\(584\) −11.9757 + 4.35878i −0.495556 + 0.180368i
\(585\) −8.70961 3.17004i −0.360098 0.131065i
\(586\) −2.13041 1.78763i −0.0880066 0.0738463i
\(587\) −3.15611 + 17.8992i −0.130266 + 0.738778i 0.847773 + 0.530359i \(0.177943\pi\)
−0.978040 + 0.208419i \(0.933168\pi\)
\(588\) 16.8084 0.693167
\(589\) −12.0348 + 26.2066i −0.495884 + 1.07983i
\(590\) −39.7033 −1.63456
\(591\) 2.57991 14.6314i 0.106123 0.601855i
\(592\) 5.17752 + 4.34445i 0.212795 + 0.178556i
\(593\) 30.7221 + 11.1819i 1.26161 + 0.459187i 0.884307 0.466905i \(-0.154631\pi\)
0.377298 + 0.926092i \(0.376853\pi\)
\(594\) −3.20574 + 1.16679i −0.131533 + 0.0478741i
\(595\) −15.1079 + 12.6770i −0.619363 + 0.519707i
\(596\) −0.592396 1.02606i −0.0242655 0.0420291i
\(597\) −4.03462 + 6.98816i −0.165126 + 0.286006i
\(598\) 1.60947 + 9.12776i 0.0658161 + 0.373262i
\(599\) 1.53343 + 8.69653i 0.0626544 + 0.355331i 0.999976 + 0.00686632i \(0.00218563\pi\)
−0.937322 + 0.348464i \(0.886703\pi\)
\(600\) 3.31908 5.74881i 0.135501 0.234694i
\(601\) −16.5262 28.6241i −0.674116 1.16760i −0.976726 0.214489i \(-0.931191\pi\)
0.302610 0.953114i \(-0.402142\pi\)
\(602\) 15.5876 13.0796i 0.635305 0.533084i
\(603\) −0.666374 + 0.242540i −0.0271369 + 0.00987701i
\(604\) 3.41875 + 1.24432i 0.139107 + 0.0506308i
\(605\) 1.66772 + 1.39938i 0.0678024 + 0.0568930i
\(606\) 0.806751 4.57531i 0.0327720 0.185859i
\(607\) 5.16250 0.209540 0.104770 0.994497i \(-0.466589\pi\)
0.104770 + 0.994497i \(0.466589\pi\)
\(608\) 4.21688 + 1.10359i 0.171017 + 0.0447565i
\(609\) −18.4115 −0.746071
\(610\) −4.08853 + 23.1872i −0.165540 + 0.938822i
\(611\) 5.94634 + 4.98957i 0.240563 + 0.201856i
\(612\) −1.11334 0.405223i −0.0450041 0.0163802i
\(613\) 44.2486 16.1052i 1.78718 0.650481i 0.787779 0.615959i \(-0.211231\pi\)
0.999404 0.0345227i \(-0.0109911\pi\)
\(614\) 19.1689 16.0846i 0.773594 0.649122i
\(615\) −11.1800 19.3644i −0.450823 0.780848i
\(616\) 8.32295 14.4158i 0.335341 0.580828i
\(617\) −7.36009 41.7411i −0.296306 1.68044i −0.661846 0.749640i \(-0.730227\pi\)
0.365540 0.930796i \(-0.380884\pi\)
\(618\) 2.15018 + 12.1943i 0.0864928 + 0.490525i
\(619\) 0.928081 1.60748i 0.0373027 0.0646102i −0.846771 0.531957i \(-0.821457\pi\)
0.884074 + 0.467347i \(0.154790\pi\)
\(620\) −11.2849 19.5461i −0.453214 0.784989i
\(621\) −2.61334 + 2.19285i −0.104870 + 0.0879962i
\(622\) 22.5278 8.19945i 0.903283 0.328768i
\(623\) 31.0565 + 11.3036i 1.24425 + 0.452871i
\(624\) 2.08125 + 1.74638i 0.0833168 + 0.0699111i
\(625\) −2.45290 + 13.9111i −0.0981159 + 0.556443i
\(626\) 12.6382 0.505122
\(627\) −12.2306 8.45805i −0.488441 0.337782i
\(628\) 6.27126 0.250250
\(629\) 1.39053 7.88609i 0.0554440 0.314439i
\(630\) 12.7515 + 10.6998i 0.508032 + 0.426289i
\(631\) −23.1618 8.43020i −0.922056 0.335601i −0.163000 0.986626i \(-0.552117\pi\)
−0.759056 + 0.651025i \(0.774339\pi\)
\(632\) 0.279715 0.101808i 0.0111265 0.00404970i
\(633\) 6.08512 5.10602i 0.241862 0.202946i
\(634\) −7.06670 12.2399i −0.280655 0.486108i
\(635\) 10.3773 17.9741i 0.411812 0.713279i
\(636\) 0.109470 + 0.620838i 0.00434078 + 0.0246178i
\(637\) 7.92989 + 44.9727i 0.314194 + 1.78188i
\(638\) −6.43629 + 11.1480i −0.254815 + 0.441353i
\(639\) −3.97906 6.89193i −0.157409 0.272640i
\(640\) −2.61334 + 2.19285i −0.103301 + 0.0866801i
\(641\) −16.5744 + 6.03260i −0.654651 + 0.238274i −0.647925 0.761704i \(-0.724363\pi\)
−0.00672584 + 0.999977i \(0.502141\pi\)
\(642\) 3.66385 + 1.33353i 0.144601 + 0.0526303i
\(643\) 22.8653 + 19.1863i 0.901720 + 0.756633i 0.970526 0.240997i \(-0.0774746\pi\)
−0.0688062 + 0.997630i \(0.521919\pi\)
\(644\) 2.89053 16.3930i 0.113903 0.645975i
\(645\) 14.2267 0.560175
\(646\) −1.36571 4.98054i −0.0537333 0.195957i
\(647\) 23.9391 0.941144 0.470572 0.882362i \(-0.344048\pi\)
0.470572 + 0.882362i \(0.344048\pi\)
\(648\) −0.173648 + 0.984808i −0.00682154 + 0.0386869i
\(649\) −30.4145 25.5208i −1.19387 1.00178i
\(650\) 16.9474 + 6.16836i 0.664733 + 0.241943i
\(651\) 30.3346 11.0409i 1.18891 0.432726i
\(652\) −14.7836 + 12.4049i −0.578970 + 0.485813i
\(653\) 13.2430 + 22.9376i 0.518240 + 0.897618i 0.999775 + 0.0211916i \(0.00674602\pi\)
−0.481535 + 0.876427i \(0.659921\pi\)
\(654\) −5.79813 + 10.0427i −0.226725 + 0.392699i
\(655\) −11.0209 62.5029i −0.430624 2.44219i
\(656\) 1.13816 + 6.45480i 0.0444375 + 0.252018i
\(657\) 6.37211 11.0368i 0.248600 0.430587i
\(658\) −6.97044 12.0732i −0.271736 0.470660i
\(659\) −4.05509 + 3.40263i −0.157964 + 0.132548i −0.718344 0.695688i \(-0.755100\pi\)
0.560380 + 0.828236i \(0.310655\pi\)
\(660\) 10.9363 3.98048i 0.425694 0.154940i
\(661\) −43.3264 15.7695i −1.68520 0.613363i −0.691194 0.722669i \(-0.742915\pi\)
−0.994008 + 0.109306i \(0.965137\pi\)
\(662\) −22.5967 18.9609i −0.878247 0.736937i
\(663\) 0.558963 3.17004i 0.0217083 0.123114i
\(664\) −15.6040 −0.605553
\(665\) −5.90214 + 72.3173i −0.228875 + 2.80435i
\(666\) −6.75877 −0.261897
\(667\) −2.23530 + 12.6770i −0.0865512 + 0.490856i
\(668\) −5.91534 4.96356i −0.228872 0.192046i
\(669\) −11.2464 4.09337i −0.434813 0.158259i
\(670\) 2.27332 0.827420i 0.0878260 0.0319660i
\(671\) −18.0364 + 15.1344i −0.696289 + 0.584255i
\(672\) −2.43969 4.22567i −0.0941132 0.163009i
\(673\) −1.19072 + 2.06239i −0.0458990 + 0.0794994i −0.888062 0.459723i \(-0.847949\pi\)
0.842163 + 0.539223i \(0.181282\pi\)
\(674\) 3.86349 + 21.9110i 0.148816 + 0.843979i
\(675\) 1.15270 + 6.53731i 0.0443676 + 0.251621i
\(676\) 2.80928 4.86581i 0.108049 0.187147i
\(677\) −7.97431 13.8119i −0.306478 0.530835i 0.671112 0.741356i \(-0.265817\pi\)
−0.977589 + 0.210522i \(0.932484\pi\)
\(678\) −1.48680 + 1.24757i −0.0571001 + 0.0479126i
\(679\) −32.6721 + 11.8917i −1.25384 + 0.456360i
\(680\) 3.79813 + 1.38241i 0.145652 + 0.0530129i
\(681\) 20.3726 + 17.0946i 0.780679 + 0.655067i
\(682\) 3.91921 22.2270i 0.150074 0.851115i
\(683\) −1.26083 −0.0482443 −0.0241222 0.999709i \(-0.507679\pi\)
−0.0241222 + 0.999709i \(0.507679\pi\)
\(684\) −3.93969 + 1.86516i −0.150638 + 0.0713162i
\(685\) 15.5107 0.592635
\(686\) 8.31062 47.1319i 0.317301 1.79950i
\(687\) −15.2463 12.7931i −0.581682 0.488089i
\(688\) −3.91875 1.42631i −0.149401 0.0543775i
\(689\) −1.60947 + 0.585799i −0.0613159 + 0.0223172i
\(690\) 8.91534 7.48086i 0.339401 0.284792i
\(691\) 4.05438 + 7.02239i 0.154236 + 0.267144i 0.932780 0.360445i \(-0.117375\pi\)
−0.778545 + 0.627589i \(0.784042\pi\)
\(692\) 7.24763 12.5533i 0.275513 0.477203i
\(693\) 2.89053 + 16.3930i 0.109802 + 0.622719i
\(694\) 2.43541 + 13.8119i 0.0924470 + 0.524293i
\(695\) 5.14203 8.90625i 0.195048 0.337833i
\(696\) 1.88666 + 3.26779i 0.0715136 + 0.123865i
\(697\) 5.94878 4.99162i 0.225326 0.189071i
\(698\) −32.0548 + 11.6670i −1.21329 + 0.441603i
\(699\) 4.05051 + 1.47426i 0.153204 + 0.0557618i
\(700\) −24.8123 20.8200i −0.937816 0.786921i
\(701\) 1.77615 10.0730i 0.0670842 0.380454i −0.932719 0.360605i \(-0.882570\pi\)
0.999803 0.0198489i \(-0.00631853\pi\)
\(702\) −2.71688 −0.102542
\(703\) −17.0385 24.0339i −0.642619 0.906456i
\(704\) −3.41147 −0.128575
\(705\) 1.69253 9.59883i 0.0637445 0.361513i
\(706\) −23.3214 19.5689i −0.877711 0.736487i
\(707\) −21.3020 7.75330i −0.801144 0.291593i
\(708\) −10.9363 + 3.98048i −0.411011 + 0.149596i
\(709\) 0.156574 0.131381i 0.00588026 0.00493413i −0.639843 0.768506i \(-0.721001\pi\)
0.645723 + 0.763572i \(0.276556\pi\)
\(710\) 13.5744 + 23.5116i 0.509440 + 0.882376i
\(711\) −0.148833 + 0.257787i −0.00558168 + 0.00966776i
\(712\) −1.17617 6.67042i −0.0440790 0.249984i
\(713\) −3.91921 22.2270i −0.146776 0.832407i
\(714\) −2.89053 + 5.00654i −0.108175 + 0.187365i
\(715\) 15.8097 + 27.3833i 0.591251 + 1.02408i
\(716\) −7.52481 + 6.31407i −0.281216 + 0.235968i
\(717\) −0.268571 + 0.0977517i −0.0100300 + 0.00365061i
\(718\) 12.8229 + 4.66717i 0.478548 + 0.174177i
\(719\) 12.2103 + 10.2457i 0.455368 + 0.382099i 0.841423 0.540376i \(-0.181718\pi\)
−0.386055 + 0.922476i \(0.626163\pi\)
\(720\) 0.592396 3.35965i 0.0220773 0.125207i
\(721\) 60.4184 2.25010
\(722\) −16.5642 9.30742i −0.616455 0.346386i
\(723\) 9.56624 0.355772
\(724\) 3.28446 18.6271i 0.122066 0.692271i
\(725\) 19.1878 + 16.1005i 0.712616 + 0.597956i
\(726\) 0.599670 + 0.218262i 0.0222558 + 0.00810047i
\(727\) 29.0959 10.5900i 1.07911 0.392762i 0.259531 0.965735i \(-0.416432\pi\)
0.819575 + 0.572972i \(0.194210\pi\)
\(728\) 10.1552 8.52125i 0.376378 0.315819i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) −21.7383 + 37.6518i −0.804570 + 1.39356i
\(731\) 0.857974 + 4.86581i 0.0317333 + 0.179969i
\(732\) 1.19846 + 6.79682i 0.0442965 + 0.251218i
\(733\) −1.97906 + 3.42782i −0.0730981 + 0.126610i −0.900258 0.435358i \(-0.856622\pi\)
0.827160 + 0.561967i \(0.189955\pi\)
\(734\) 11.8833 + 20.5824i 0.438619 + 0.759710i
\(735\) 43.9261 36.8584i 1.62024 1.35954i
\(736\) −3.20574 + 1.16679i −0.118165 + 0.0430086i
\(737\) 2.27332 + 0.827420i 0.0837388 + 0.0304784i
\(738\) −5.02094 4.21307i −0.184824 0.155085i
\(739\) −4.48070 + 25.4113i −0.164825 + 0.934771i 0.784419 + 0.620231i \(0.212961\pi\)
−0.949244 + 0.314540i \(0.898150\pi\)
\(740\) 23.0574 0.847606
\(741\) −6.84911 9.66112i −0.251608 0.354910i
\(742\) 3.07604 0.112925
\(743\) 5.54189 31.4296i 0.203312 1.15304i −0.696761 0.717303i \(-0.745376\pi\)
0.900074 0.435738i \(-0.143513\pi\)
\(744\) −5.06805 4.25260i −0.185804 0.155908i
\(745\) −3.79813 1.38241i −0.139153 0.0506475i
\(746\) −21.8332 + 7.94664i −0.799371 + 0.290947i
\(747\) 11.9534 10.0301i 0.437351 0.366981i
\(748\) 2.02094 + 3.50038i 0.0738931 + 0.127987i
\(749\) 9.51233 16.4758i 0.347573 0.602014i
\(750\) −0.970437 5.50362i −0.0354354 0.200964i
\(751\) −0.0882212 0.500327i −0.00321924 0.0182572i 0.983156 0.182769i \(-0.0585061\pi\)
−0.986375 + 0.164512i \(0.947395\pi\)
\(752\) −1.42855 + 2.47432i −0.0520938 + 0.0902291i
\(753\) −14.8439 25.7104i −0.540942 0.936938i
\(754\) −7.85323 + 6.58964i −0.285998 + 0.239981i
\(755\) 11.6630 4.24497i 0.424459 0.154490i
\(756\) 4.58512 + 1.66885i 0.166759 + 0.0606954i
\(757\) −36.8999 30.9627i −1.34115 1.12536i −0.981329 0.192338i \(-0.938393\pi\)
−0.359822 0.933021i \(-0.617162\pi\)
\(758\) 0.781470 4.43193i 0.0283843 0.160975i
\(759\) 11.6382 0.422438
\(760\) 13.4402 6.36295i 0.487526 0.230808i
\(761\) 5.15064 0.186711 0.0933554 0.995633i \(-0.470241\pi\)
0.0933554 + 0.995633i \(0.470241\pi\)
\(762\) 1.05644 5.99135i 0.0382707 0.217044i
\(763\) 43.3448 + 36.3706i 1.56919 + 1.31671i
\(764\) 9.48293 + 3.45150i 0.343080 + 0.124871i
\(765\) −3.79813 + 1.38241i −0.137322 + 0.0499810i
\(766\) −3.34002 + 2.80261i −0.120680 + 0.101262i
\(767\) −15.8097 27.3833i −0.570857 0.988753i
\(768\) −0.500000 + 0.866025i −0.0180422 + 0.0312500i
\(769\) 3.39874 + 19.2752i 0.122562 + 0.695081i 0.982726 + 0.185065i \(0.0592496\pi\)
−0.860165 + 0.510016i \(0.829639\pi\)