Properties

Label 114.2.i.a.85.1
Level $114$
Weight $2$
Character 114.85
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 85.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 114.85
Dual form 114.2.i.a.55.1

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\)

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 −0.495674 0.868509i \(-0.665079\pi\)
−0.937975 + 0.346703i \(0.887301\pi\)
\(6\) −0.766044 0.642788i −0.312736 0.262417i
\(7\) 2.43969 4.22567i 0.922117 1.59715i 0.125984 0.992032i \(-0.459791\pi\)
0.796133 0.605121i \(-0.206875\pi\)
\(8\) 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 0.999862 + 0.0165906i \(0.00528120\pi\)
−0.485563 + 0.874202i \(0.661385\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 2.08125 + 1.74638i 0.577235 + 0.484358i 0.884038 0.467415i \(-0.154815\pi\)
−0.306803 + 0.951773i \(0.599259\pi\)
\(14\) −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 0.999539 0.0303521i \(-0.00966285\pi\)
−0.949641 + 0.313341i \(0.898552\pi\)
\(18\) −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 0.0145653 0.999894i \(-0.495364\pi\)
0.653877 + 0.756601i \(0.273141\pi\)
\(24\) 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 −0.861555 0.507664i \(-0.830509\pi\)
0.983228 0.182379i \(-0.0583797\pi\)
\(30\) 1.70574 + 2.95442i 0.311424 + 0.539401i
\(31\) −3.30793 + 5.72951i −0.594122 + 1.02905i 0.399548 + 0.916712i \(0.369167\pi\)
−0.993670 + 0.112338i \(0.964166\pi\)
\(32\) −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 −0.160148 0.987093i \(-0.551197\pi\)
0.944288 + 0.329122i \(0.106753\pi\)
\(42\) −4.58512 + 1.66885i −0.707500 + 0.257509i
\(43\) −3.91875 1.42631i −0.597603 0.217510i 0.0254669 0.999676i \(-0.491893\pi\)
−0.623070 + 0.782166i \(0.714115\pi\)
\(44\) −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 −0.927006 0.375046i \(-0.877627\pi\)
0.999374 0.0353731i \(-0.0112619\pi\)
\(48\) 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 −0.382385 0.924003i \(-0.624897\pi\)
0.301013 + 0.953620i \(0.402675\pi\)
\(54\) −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 0.774379 + 0.632722i \(0.218063\pi\)
−0.511274 + 0.859418i \(0.670826\pi\)
\(60\) 2.61334 2.19285i 0.337381 0.283096i
\(61\) −6.48545 + 2.36051i −0.830377 + 0.302233i −0.722014 0.691879i \(-0.756783\pi\)
−0.108363 + 0.994111i \(0.534561\pi\)
\(62\) 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 −0.976361 0.216145i \(-0.930652\pi\)
0.991405 + 0.130826i \(0.0417628\pi\)
\(68\) −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 −0.142265 0.989829i \(-0.545439\pi\)
−0.745231 + 0.666806i \(0.767661\pi\)
\(72\) 0.939693 0.342020i 0.110744 0.0403075i
\(73\) −9.76264 + 8.19183i −1.14263 + 0.958781i −0.999522 0.0309259i \(-0.990154\pi\)
−0.143109 + 0.989707i \(0.545710\pi\)
\(74\) −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 −0.629870 0.776701i \(-0.716892\pi\)
0.655525 + 0.755174i \(0.272447\pi\)
\(80\) −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 0.0189766 + 0.999820i \(0.493959\pi\)
−0.875358 + 0.483476i \(0.839374\pi\)
\(84\) 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 0.874940 0.484231i \(-0.160901\pi\)
−0.324943 + 0.945734i \(0.605345\pi\)
\(90\) 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 −0.980929 0.194367i \(-0.937735\pi\)
0.855294 0.518143i \(-0.173376\pi\)
\(98\) −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 0.448316 0.893875i \(-0.352024\pi\)
−0.802446 + 0.596725i \(0.796468\pi\)
\(102\) 0.592396 1.02606i 0.0586560 0.101595i
\(103\) 6.19119 + 10.7235i 0.610036 + 1.05661i 0.991234 + 0.132120i \(0.0421784\pi\)
−0.381198 + 0.924494i \(0.624488\pi\)
\(104\) −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 −0.944739 0.327825i \(-0.893684\pi\)
0.756274 + 0.654255i \(0.227018\pi\)
\(108\) 0.766044 + 0.642788i 0.0737127 + 0.0618523i
\(109\) 10.8969 + 3.96616i 1.04374 + 0.379889i 0.806295 0.591513i \(-0.201469\pi\)
0.237441 + 0.971402i \(0.423691\pi\)
\(110\) −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 0.412155 0.911114i \(-0.364776\pi\)
−0.825702 + 0.564106i \(0.809221\pi\)
\(128\) 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 −0.714930 0.699196i \(-0.753542\pi\)
0.432676 0.901550i \(-0.357570\pi\)
\(132\) −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 −0.518017 0.855370i \(-0.673330\pi\)
0.152998 + 0.988227i \(0.451107\pi\)
\(138\) −3.20574 1.16679i −0.272890 0.0993240i
\(139\) −2.30928 1.93771i −0.195870 0.164355i 0.539578 0.841936i \(-0.318584\pi\)
−0.735448 + 0.677581i \(0.763028\pi\)
\(140\) 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 −0.604853 0.796337i \(-0.706768\pi\)
0.679207 + 0.733947i \(0.262324\pi\)
\(150\) −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 0.0959789 0.995383i \(-0.469402\pi\)
−0.566296 + 0.824202i \(0.691624\pi\)
\(158\) −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 0.944980 + 0.327128i \(0.106081\pi\)
−0.189188 + 0.981941i \(0.560586\pi\)
\(164\) −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 −0.0456458 0.998958i \(-0.514535\pi\)
0.607151 + 0.794587i \(0.292312\pi\)
\(168\) 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 −0.917495 0.397748i \(-0.869792\pi\)
0.726125 0.687563i \(-0.241319\pi\)
\(174\) −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 0.989111 0.147172i \(-0.0470171\pi\)
−0.622010 + 0.783009i \(0.713684\pi\)
\(180\) 0.592396 3.35965i 0.0441546 0.250413i
\(181\) 3.28446 18.6271i 0.244132 1.38454i −0.578367 0.815777i \(-0.696310\pi\)
0.822499 0.568766i \(-0.192579\pi\)
\(182\) −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 −0.570532 0.821276i \(-0.693263\pi\)
0.709727 + 0.704477i \(0.248818\pi\)
\(194\) −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 0.470155 + 0.882584i \(0.344198\pi\)
−0.999418 + 0.0341253i \(0.989135\pi\)
\(198\) −1.70574 2.95442i −0.121221 0.209962i
\(199\) 1.40121 7.94664i 0.0993289 0.563322i −0.894006 0.448056i \(-0.852117\pi\)
0.993335 0.115267i \(-0.0367723\pi\)
\(200\) −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 0.994759 + 0.102244i \(0.0326022\pi\)
−0.899799 + 0.436306i \(0.856287\pi\)
\(212\) 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 −0.0632006 0.998001i \(-0.520131\pi\)
−0.689917 + 0.723888i \(0.742353\pi\)
\(224\) −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 0.471273 0.881988i \(-0.343795\pi\)
−0.205915 + 0.978570i \(0.566017\pi\)
\(234\) −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 0.861367 0.507984i \(-0.169609\pi\)
−0.870610 + 0.491973i \(0.836276\pi\)
\(240\) −1.70574 + 2.95442i −0.110105 + 0.190707i
\(241\) 7.32816 + 6.14906i 0.472048 + 0.396096i 0.847541 0.530730i \(-0.178082\pi\)
−0.375493 + 0.926825i \(0.622526\pi\)
\(242\) 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 −0.999968 0.00796619i \(-0.997464\pi\)
−0.760900 + 0.648870i \(0.775242\pi\)
\(252\) 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 −0.771437 0.636306i \(-0.780462\pi\)
0.942543 0.334085i \(-0.108427\pi\)
\(258\) 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 −0.349044 0.937106i \(-0.613494\pi\)
0.862259 + 0.506468i \(0.169049\pi\)
\(264\) 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 −0.950063 0.312058i \(-0.898982\pi\)
0.142341 + 0.989818i \(0.454537\pi\)
\(270\) 3.20574 1.16679i 0.195095 0.0710088i
\(271\) −1.35844 0.494432i −0.0825194 0.0300346i 0.300431 0.953804i \(-0.402870\pi\)
−0.382950 + 0.923769i \(0.625092\pi\)
\(272\) 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 −0.986170 0.165734i \(-0.947001\pi\)
0.349555 0.936916i \(-0.386333\pi\)
\(278\) −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 0.448093 0.893987i \(-0.352103\pi\)
0.917903 + 0.396805i \(0.129881\pi\)
\(282\) −2.18866 + 1.83651i −0.130333 + 0.109362i
\(283\) −0.716415 4.06299i −0.0425864 0.241520i 0.956083 0.293098i \(-0.0946861\pi\)
−0.998669 + 0.0515779i \(0.983575\pi\)
\(284\) 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 0.822545 0.568700i \(-0.192553\pi\)
−0.903781 + 0.427995i \(0.859220\pi\)
\(294\) −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 −0.997009 0.0772850i \(-0.975375\pi\)
−0.0970179 + 0.995283i \(0.530930\pi\)
\(308\) −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 0.295360 + 0.955386i \(0.404561\pi\)
−0.975068 + 0.221904i \(0.928773\pi\)
\(312\) 1.35844 + 2.35289i 0.0769066 + 0.133206i
\(313\) −2.19459 + 12.4462i −0.124046 + 0.703498i 0.857824 + 0.513943i \(0.171816\pi\)
−0.981870 + 0.189555i \(0.939295\pi\)
\(314\) −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 0.285941 0.958247i \(-0.407694\pi\)
−0.894036 + 0.447995i \(0.852138\pi\)
\(318\) 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 −0.912391 0.409320i \(-0.865766\pi\)
0.101714 0.994814i \(-0.467567\pi\)
\(332\) 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 0.841511 0.540239i \(-0.181666\pi\)
0.297376 + 0.954760i \(0.403889\pi\)
\(338\) −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 0.670607 0.741812i \(-0.266034\pi\)
0.0368873 + 0.999319i \(0.488256\pi\)
\(348\) 2.89053 + 2.42544i 0.154949 + 0.130017i
\(349\) 17.0560 29.5419i 0.912988 1.58134i 0.103168 0.994664i \(-0.467102\pi\)
0.809820 0.586678i \(-0.199565\pi\)
\(350\) −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 −0.912737 0.408549i \(-0.866035\pi\)
0.102555 0.994727i \(-0.467298\pi\)
\(354\) 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 0.981271 + 0.192632i \(0.0617024\pi\)
−0.856209 + 0.516629i \(0.827187\pi\)
\(360\) −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 0.979357 0.202136i \(-0.0647883\pi\)
−0.0290014 + 0.999579i \(0.509233\pi\)
\(368\) 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 −0.391075 0.920359i \(-0.627897\pi\)
0.992592 0.121498i \(-0.0387699\pi\)
\(374\) 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 −0.553453 0.832880i \(-0.686690\pi\)
0.724121 + 0.689673i \(0.242246\pi\)
\(384\) 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 −0.990033 0.140836i \(-0.955021\pi\)
0.978495 + 0.206269i \(0.0661322\pi\)
\(390\) −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 −0.948340 0.317255i \(-0.897239\pi\)
0.782641 0.622473i \(-0.213872\pi\)
\(398\) −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 0.593877 + 0.804556i \(0.297597\pi\)
−0.282888 + 0.959153i \(0.591292\pi\)
\(402\) −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 0.558801 + 0.829301i \(0.311261\pi\)
−0.808739 + 0.588167i \(0.799850\pi\)
\(410\) 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 −0.645595 0.763680i \(-0.723391\pi\)
0.639971 + 0.768399i \(0.278946\pi\)
\(422\) 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 −0.137050 0.990564i \(-0.543762\pi\)
−0.999314 + 0.0370420i \(0.988206\pi\)
\(432\) −0.939693 0.342020i −0.0452110 0.0164555i
\(433\) 27.6587 10.0669i 1.32919 0.483786i 0.422800 0.906223i \(-0.361047\pi\)
0.906392 + 0.422437i \(0.138825\pi\)
\(434\) 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 0.949984 + 0.312298i \(0.101099\pi\)
−0.785881 + 0.618378i \(0.787790\pi\)
\(440\) 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 0.238494 0.971144i \(-0.423346\pi\)
−0.914976 + 0.403508i \(0.867791\pi\)
\(444\) −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 −0.903135 0.429356i \(-0.858741\pi\)
0.823401 + 0.567460i \(0.192074\pi\)
\(450\) −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 0.0715092 0.997440i \(-0.477218\pi\)
−0.586363 + 0.810049i \(0.699441\pi\)
\(462\) −12.7515 10.6998i −0.593253 0.497799i
\(463\) −8.49660 + 14.7165i −0.394870 + 0.683935i −0.993085 0.117401i \(-0.962544\pi\)
0.598214 + 0.801336i \(0.295877\pi\)
\(464\) −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 0.969073 0.246776i \(-0.0793712\pi\)
−0.698251 + 0.715853i \(0.746038\pi\)
\(468\) −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 −0.892805 0.450444i \(-0.851266\pi\)
−0.394388 + 0.918944i \(0.629043\pi\)
\(480\) 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 −0.982268 0.187480i \(-0.939968\pi\)
0.653496 + 0.756930i \(0.273301\pi\)
\(488\) −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 −0.821629 0.570023i \(-0.806934\pi\)
0.418689 + 0.908130i \(0.362490\pi\)
\(492\) 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 0.377256 0.926109i \(-0.376868\pi\)
−0.306296 + 0.951936i \(0.599090\pi\)
\(500\) 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 −0.841725 0.539907i \(-0.818459\pi\)
0.975622 0.219460i \(-0.0704295\pi\)
\(504\) 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 −0.913342 0.407193i \(-0.866508\pi\)
−0.437922 + 0.899013i \(0.644286\pi\)
\(510\) −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 −0.974164 0.225843i \(-0.927486\pi\)
0.291496 0.956572i \(-0.405847\pi\)
\(522\) −0.655230 + 3.71599i −0.0286786 + 0.162645i
\(523\) −2.89306 + 16.4073i −0.126504 + 0.717443i 0.853898 + 0.520440i \(0.174232\pi\)
−0.980403 + 0.197003i \(0.936879\pi\)
\(524\) 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 −0.482025 0.876157i \(-0.660099\pi\)
0.752619 0.658456i \(-0.228790\pi\)
\(542\) −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 0.0274199 0.999624i \(-0.491271\pi\)
0.663551 + 0.748131i \(0.269049\pi\)
\(548\) 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 0.332965 0.942939i \(-0.391951\pi\)
−0.870795 + 0.491646i \(0.836395\pi\)
\(558\) 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 −0.336999 0.941505i \(-0.609412\pi\)
0.983867 0.178903i \(-0.0572549\pi\)
\(564\) 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 −0.601951 0.798533i \(-0.705610\pi\)
0.992525 + 0.122039i \(0.0389432\pi\)
\(578\) −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 −0.978040 0.208419i \(-0.933168\pi\)
0.847773 0.530359i \(-0.177943\pi\)
\(588\) 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 0.377298 0.926092i \(-0.376853\pi\)
0.884307 + 0.466905i \(0.154631\pi\)
\(594\) −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 −0.937322 0.348464i \(-0.886703\pi\)
0.999976 0.00686632i \(-0.00218563\pi\)
\(600\) 3.31908 + 5.74881i 0.135501 + 0.234694i
\(601\) −16.5262 + 28.6241i −0.674116 + 1.16760i 0.302610 + 0.953114i \(0.402142\pi\)
−0.976726 + 0.214489i \(0.931191\pi\)
\(602\) 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 0.999404 + 0.0345227i \(0.0109911\pi\)
0.787779 + 0.615959i \(0.211231\pi\)
\(614\) 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 0.365540 + 0.930796i \(0.380884\pi\)
−0.661846 + 0.749640i \(0.730227\pi\)
\(618\) 2.15018 12.1943i 0.0864928 0.490525i
\(619\) 0.928081 + 1.60748i 0.0373027 + 0.0646102i 0.884074 0.467347i \(-0.154790\pi\)
−0.846771 + 0.531957i \(0.821457\pi\)
\(620\) −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 −0.759056 0.651025i \(-0.774339\pi\)
−0.163000 + 0.986626i \(0.552117\pi\)
\(632\) 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 −0.00672584 0.999977i \(-0.502141\pi\)
−0.647925 + 0.761704i \(0.724363\pi\)
\(642\) 3.66385 1.33353i 0.144601 0.0526303i
\(643\) 22.8653 19.1863i 0.901720 0.756633i −0.0688062 0.997630i \(-0.521919\pi\)
0.970526 + 0.240997i \(0.0774746\pi\)
\(644\) 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 −0.481535 0.876427i \(-0.659921\pi\)
0.999775 0.0211916i \(-0.00674602\pi\)
\(654\) −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 0.560380 0.828236i \(-0.310655\pi\)
−0.718344 + 0.695688i \(0.755100\pi\)
\(660\) 10.9363 + 3.98048i 0.425694 + 0.154940i
\(661\) −43.3264 + 15.7695i −1.68520 + 0.613363i −0.994008 0.109306i \(-0.965137\pi\)
−0.691194 + 0.722669i \(0.742915\pi\)
\(662\) −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 0.842163 0.539223i \(-0.181282\pi\)
−0.888062 + 0.459723i \(0.847949\pi\)
\(674\) 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 −0.977589 0.210522i \(-0.932484\pi\)
0.671112 + 0.741356i \(0.265817\pi\)
\(678\) −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 −0.778545 0.627589i \(-0.784042\pi\)
0.932780 + 0.360445i \(0.117375\pi\)
\(692\) 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 0.999803 + 0.0198489i \(0.00631853\pi\)
−0.932719 + 0.360605i \(0.882570\pi\)
\(702\) −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 0.645723 0.763572i \(-0.276556\pi\)
−0.639843 + 0.768506i \(0.721001\pi\)
\(710\) 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 −0.386055 0.922476i \(-0.626163\pi\)
0.841423 + 0.540376i \(0.181718\pi\)
\(720\) 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 0.819575 0.572972i \(-0.194210\pi\)
0.259531 + 0.965735i \(0.416432\pi\)
\(728\) 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 0.827160 0.561967i \(-0.189955\pi\)
−0.900258 + 0.435358i \(0.856622\pi\)
\(734\) 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 −0.949244 0.314540i \(-0.898150\pi\)
0.784419 0.620231i \(-0.212961\pi\)
\(740\) 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 0.900074 + 0.435738i \(0.143513\pi\)
−0.696761 + 0.717303i \(0.745376\pi\)
\(744\) −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 −0.986375 0.164512i \(-0.947395\pi\)
0.983156 + 0.182769i \(0.0585061\pi\)
\(752\) −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 −0.359822 + 0.933021i \(0.617162\pi\)
−0.981329 + 0.192338i \(0.938393\pi\)
\(758\) 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 −0.860165 0.510016i \(-0.829639\pi\)
0.982726 0.185065i \(-0.0592496\pi\)