Properties

Label 378.2.u.b.43.2
Level 378
Weight 2
Character 378.43
Analytic conductor 3.018
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 378.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.2
Root \(0.500000 - 0.258654i\)
Character \(\chi\) = 378.43
Dual form 378.2.u.b.211.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(1.23102 + 1.21844i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.667901 + 0.243096i) q^{5} +(0.159815 + 1.72466i) q^{6} +(0.173648 - 0.984808i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.0308031 + 2.99984i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(1.23102 + 1.21844i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.667901 + 0.243096i) q^{5} +(0.159815 + 1.72466i) q^{6} +(0.173648 - 0.984808i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.0308031 + 2.99984i) q^{9} +(0.355383 + 0.615541i) q^{10} +(0.297791 - 0.108387i) q^{11} +(-0.986166 + 1.42389i) q^{12} +(-0.797414 + 0.669110i) q^{13} +(0.766044 - 0.642788i) q^{14} +(0.525999 + 1.11305i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(0.219898 + 0.380875i) q^{17} +(-1.90466 + 2.31781i) q^{18} +(2.10431 - 3.64477i) q^{19} +(-0.123423 + 0.699967i) q^{20} +(1.41369 - 1.00073i) q^{21} +(0.297791 + 0.108387i) q^{22} +(-0.0614472 - 0.348484i) q^{23} +(-1.67071 + 0.456871i) q^{24} +(-3.44323 - 2.88921i) q^{25} -1.04095 q^{26} +(-3.61721 + 3.73039i) q^{27} +1.00000 q^{28} +(0.815550 + 0.684328i) q^{29} +(-0.312518 + 1.19075i) q^{30} +(0.00644467 + 0.0365495i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.498648 + 0.229414i) q^{33} +(-0.0763698 + 0.433115i) q^{34} +(0.355383 - 0.615541i) q^{35} +(-2.94892 + 0.551252i) q^{36} +(-3.45851 - 5.99032i) q^{37} +(3.95481 - 1.43943i) q^{38} +(-1.79690 - 0.147917i) q^{39} +(-0.544478 + 0.456871i) q^{40} +(1.76082 - 1.47750i) q^{41} +(1.72621 + 0.142098i) q^{42} +(2.77470 - 1.00991i) q^{43} +(0.158451 + 0.274445i) q^{44} +(-0.708676 + 2.01108i) q^{45} +(0.176930 - 0.306452i) q^{46} +(-0.124417 + 0.705603i) q^{47} +(-1.57351 - 0.723928i) q^{48} +(-0.939693 - 0.342020i) q^{49} +(-0.780516 - 4.42653i) q^{50} +(-0.193375 + 0.736796i) q^{51} +(-0.797414 - 0.669110i) q^{52} -2.66131 q^{53} +(-5.16879 + 0.532543i) q^{54} +0.225243 q^{55} +(0.766044 + 0.642788i) q^{56} +(7.03138 - 1.92280i) q^{57} +(0.184870 + 1.04845i) q^{58} +(11.9263 + 4.34081i) q^{59} +(-1.00480 + 0.711287i) q^{60} +(2.13004 - 12.0800i) q^{61} +(-0.0185567 + 0.0321411i) q^{62} +(2.95962 + 0.490582i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.695251 + 0.253051i) q^{65} +(0.234522 + 0.496266i) q^{66} +(-7.32181 + 6.14373i) q^{67} +(-0.336904 + 0.282696i) q^{68} +(0.348965 - 0.503859i) q^{69} +(0.667901 - 0.243096i) q^{70} +(3.46684 + 6.00474i) q^{71} +(-2.61334 - 1.47324i) q^{72} +(5.26678 - 9.12233i) q^{73} +(1.20113 - 6.81194i) q^{74} +(-0.718336 - 7.75203i) q^{75} +(3.95481 + 1.43943i) q^{76} +(-0.0550295 - 0.312088i) q^{77} +(-1.28143 - 1.26834i) q^{78} +(-8.98910 - 7.54275i) q^{79} -0.710765 q^{80} +(-8.99810 + 0.184809i) q^{81} +2.29858 q^{82} +(3.97128 + 3.33230i) q^{83} +(1.23102 + 1.21844i) q^{84} +(0.0542810 + 0.307843i) q^{85} +(2.77470 + 1.00991i) q^{86} +(0.170143 + 1.83612i) q^{87} +(-0.0550295 + 0.312088i) q^{88} +(-5.34183 + 9.25232i) q^{89} +(-1.83558 + 1.08505i) q^{90} +(0.520475 + 0.901489i) q^{91} +(0.332520 - 0.121027i) q^{92} +(-0.0365999 + 0.0528455i) q^{93} +(-0.548862 + 0.460550i) q^{94} +(2.29150 - 1.92280i) q^{95} +(-0.740046 - 1.56599i) q^{96} +(3.98948 - 1.45205i) q^{97} +(-0.500000 - 0.866025i) q^{98} +(0.334316 + 0.889986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + O(q^{10}) \) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + 3q^{11} - 6q^{12} + 12q^{13} + 9q^{15} - 9q^{18} + 12q^{19} - 9q^{20} + 3q^{21} + 3q^{22} + 12q^{23} + 3q^{24} - 24q^{25} - 18q^{26} + 18q^{27} + 12q^{28} - 3q^{29} + 21q^{31} - 27q^{33} + 9q^{34} + 15q^{37} + 15q^{38} - 48q^{39} + 9q^{40} + 12q^{41} + 3q^{42} + 21q^{43} + 12q^{44} - 9q^{45} - 6q^{46} + 12q^{47} + 3q^{48} + 21q^{50} - 9q^{51} + 12q^{52} - 42q^{53} - 27q^{54} - 12q^{55} + 33q^{57} - 3q^{58} + 18q^{59} - 18q^{60} + 9q^{62} + 9q^{63} - 6q^{64} - 36q^{65} - 9q^{66} - 33q^{67} - 18q^{68} + 9q^{69} + 24q^{71} - 18q^{72} + 9q^{73} - 36q^{74} - 33q^{75} + 15q^{76} + 3q^{77} - 21q^{78} + 9q^{81} - 24q^{82} + 15q^{83} + 3q^{84} - 24q^{85} + 21q^{86} + 3q^{88} - 51q^{89} + 9q^{91} - 6q^{92} - 30q^{93} - 15q^{94} - 45q^{95} + 3q^{96} + 48q^{97} - 6q^{98} + 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) 1.23102 + 1.21844i 0.710728 + 0.703467i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.667901 + 0.243096i 0.298694 + 0.108716i 0.487020 0.873391i \(-0.338084\pi\)
−0.188326 + 0.982107i \(0.560306\pi\)
\(6\) 0.159815 + 1.72466i 0.0652440 + 0.704090i
\(7\) 0.173648 0.984808i 0.0656328 0.372222i
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.0308031 + 2.99984i 0.0102677 + 0.999947i
\(10\) 0.355383 + 0.615541i 0.112382 + 0.194651i
\(11\) 0.297791 0.108387i 0.0897872 0.0326799i −0.296736 0.954960i \(-0.595898\pi\)
0.386523 + 0.922280i \(0.373676\pi\)
\(12\) −0.986166 + 1.42389i −0.284682 + 0.411043i
\(13\) −0.797414 + 0.669110i −0.221163 + 0.185578i −0.746637 0.665232i \(-0.768333\pi\)
0.525474 + 0.850810i \(0.323888\pi\)
\(14\) 0.766044 0.642788i 0.204734 0.171792i
\(15\) 0.525999 + 1.11305i 0.135812 + 0.287389i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 0.219898 + 0.380875i 0.0533331 + 0.0923757i 0.891459 0.453101i \(-0.149682\pi\)
−0.838126 + 0.545476i \(0.816349\pi\)
\(18\) −1.90466 + 2.31781i −0.448934 + 0.546314i
\(19\) 2.10431 3.64477i 0.482762 0.836169i −0.517042 0.855960i \(-0.672967\pi\)
0.999804 + 0.0197914i \(0.00630022\pi\)
\(20\) −0.123423 + 0.699967i −0.0275982 + 0.156517i
\(21\) 1.41369 1.00073i 0.308493 0.218378i
\(22\) 0.297791 + 0.108387i 0.0634892 + 0.0231082i
\(23\) −0.0614472 0.348484i −0.0128126 0.0726640i 0.977731 0.209862i \(-0.0673015\pi\)
−0.990544 + 0.137198i \(0.956190\pi\)
\(24\) −1.67071 + 0.456871i −0.341032 + 0.0932584i
\(25\) −3.44323 2.88921i −0.688645 0.577842i
\(26\) −1.04095 −0.204147
\(27\) −3.61721 + 3.73039i −0.696133 + 0.717913i
\(28\) 1.00000 0.188982
\(29\) 0.815550 + 0.684328i 0.151444 + 0.127077i 0.715362 0.698755i \(-0.246262\pi\)
−0.563918 + 0.825831i \(0.690706\pi\)
\(30\) −0.312518 + 1.19075i −0.0570578 + 0.217401i
\(31\) 0.00644467 + 0.0365495i 0.00115750 + 0.00656449i 0.985381 0.170365i \(-0.0544947\pi\)
−0.984224 + 0.176929i \(0.943384\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.498648 + 0.229414i 0.0868035 + 0.0399359i
\(34\) −0.0763698 + 0.433115i −0.0130973 + 0.0742786i
\(35\) 0.355383 0.615541i 0.0600706 0.104045i
\(36\) −2.94892 + 0.551252i −0.491486 + 0.0918754i
\(37\) −3.45851 5.99032i −0.568576 0.984803i −0.996707 0.0810862i \(-0.974161\pi\)
0.428131 0.903717i \(-0.359172\pi\)
\(38\) 3.95481 1.43943i 0.641555 0.233507i
\(39\) −1.79690 0.147917i −0.287734 0.0236856i
\(40\) −0.544478 + 0.456871i −0.0860895 + 0.0722377i
\(41\) 1.76082 1.47750i 0.274993 0.230747i −0.494852 0.868977i \(-0.664778\pi\)
0.769845 + 0.638230i \(0.220333\pi\)
\(42\) 1.72621 + 0.142098i 0.266360 + 0.0219262i
\(43\) 2.77470 1.00991i 0.423138 0.154010i −0.121669 0.992571i \(-0.538825\pi\)
0.544808 + 0.838561i \(0.316603\pi\)
\(44\) 0.158451 + 0.274445i 0.0238874 + 0.0413742i
\(45\) −0.708676 + 2.01108i −0.105643 + 0.299795i
\(46\) 0.176930 0.306452i 0.0260869 0.0451839i
\(47\) −0.124417 + 0.705603i −0.0181481 + 0.102923i −0.992536 0.121950i \(-0.961085\pi\)
0.974388 + 0.224872i \(0.0721965\pi\)
\(48\) −1.57351 0.723928i −0.227116 0.104490i
\(49\) −0.939693 0.342020i −0.134242 0.0488600i
\(50\) −0.780516 4.42653i −0.110382 0.626005i
\(51\) −0.193375 + 0.736796i −0.0270779 + 0.103172i
\(52\) −0.797414 0.669110i −0.110581 0.0927888i
\(53\) −2.66131 −0.365559 −0.182779 0.983154i \(-0.558509\pi\)
−0.182779 + 0.983154i \(0.558509\pi\)
\(54\) −5.16879 + 0.532543i −0.703383 + 0.0724700i
\(55\) 0.225243 0.0303718
\(56\) 0.766044 + 0.642788i 0.102367 + 0.0858961i
\(57\) 7.03138 1.92280i 0.931330 0.254681i
\(58\) 0.184870 + 1.04845i 0.0242747 + 0.137668i
\(59\) 11.9263 + 4.34081i 1.55267 + 0.565125i 0.969042 0.246896i \(-0.0794107\pi\)
0.583627 + 0.812022i \(0.301633\pi\)
\(60\) −1.00480 + 0.711287i −0.129720 + 0.0918268i
\(61\) 2.13004 12.0800i 0.272723 1.54669i −0.473378 0.880859i \(-0.656966\pi\)
0.746102 0.665832i \(-0.231923\pi\)
\(62\) −0.0185567 + 0.0321411i −0.00235670 + 0.00408193i
\(63\) 2.95962 + 0.490582i 0.372877 + 0.0618075i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −0.695251 + 0.253051i −0.0862353 + 0.0313871i
\(66\) 0.234522 + 0.496266i 0.0288677 + 0.0610862i
\(67\) −7.32181 + 6.14373i −0.894502 + 0.750576i −0.969108 0.246637i \(-0.920674\pi\)
0.0746063 + 0.997213i \(0.476230\pi\)
\(68\) −0.336904 + 0.282696i −0.0408556 + 0.0342819i
\(69\) 0.348965 0.503859i 0.0420104 0.0606575i
\(70\) 0.667901 0.243096i 0.0798294 0.0290555i
\(71\) 3.46684 + 6.00474i 0.411438 + 0.712631i 0.995047 0.0994032i \(-0.0316934\pi\)
−0.583609 + 0.812035i \(0.698360\pi\)
\(72\) −2.61334 1.47324i −0.307985 0.173624i
\(73\) 5.26678 9.12233i 0.616430 1.06769i −0.373702 0.927549i \(-0.621912\pi\)
0.990132 0.140139i \(-0.0447549\pi\)
\(74\) 1.20113 6.81194i 0.139628 0.791872i
\(75\) −0.718336 7.75203i −0.0829464 0.895128i
\(76\) 3.95481 + 1.43943i 0.453648 + 0.165114i
\(77\) −0.0550295 0.312088i −0.00627119 0.0355657i
\(78\) −1.28143 1.26834i −0.145093 0.143611i
\(79\) −8.98910 7.54275i −1.01135 0.848626i −0.0228366 0.999739i \(-0.507270\pi\)
−0.988516 + 0.151113i \(0.951714\pi\)
\(80\) −0.710765 −0.0794660
\(81\) −8.99810 + 0.184809i −0.999789 + 0.0205343i
\(82\) 2.29858 0.253836
\(83\) 3.97128 + 3.33230i 0.435905 + 0.365767i 0.834174 0.551501i \(-0.185945\pi\)
−0.398270 + 0.917268i \(0.630389\pi\)
\(84\) 1.23102 + 1.21844i 0.134315 + 0.132943i
\(85\) 0.0542810 + 0.307843i 0.00588760 + 0.0333903i
\(86\) 2.77470 + 1.00991i 0.299204 + 0.108901i
\(87\) 0.170143 + 1.83612i 0.0182412 + 0.196853i
\(88\) −0.0550295 + 0.312088i −0.00586616 + 0.0332687i
\(89\) −5.34183 + 9.25232i −0.566233 + 0.980744i 0.430701 + 0.902495i \(0.358266\pi\)
−0.996934 + 0.0782490i \(0.975067\pi\)
\(90\) −1.83558 + 1.08505i −0.193487 + 0.114375i
\(91\) 0.520475 + 0.901489i 0.0545606 + 0.0945017i
\(92\) 0.332520 0.121027i 0.0346676 0.0126180i
\(93\) −0.0365999 + 0.0528455i −0.00379524 + 0.00547982i
\(94\) −0.548862 + 0.460550i −0.0566108 + 0.0475021i
\(95\) 2.29150 1.92280i 0.235103 0.197275i
\(96\) −0.740046 1.56599i −0.0755306 0.159828i
\(97\) 3.98948 1.45205i 0.405070 0.147434i −0.131446 0.991323i \(-0.541962\pi\)
0.536517 + 0.843890i \(0.319740\pi\)
\(98\) −0.500000 0.866025i −0.0505076 0.0874818i
\(99\) 0.334316 + 0.889986i 0.0336001 + 0.0894470i
\(100\) 2.24741 3.89262i 0.224741 0.389262i
\(101\) 1.70023 9.64249i 0.169179 0.959463i −0.775471 0.631383i \(-0.782487\pi\)
0.944650 0.328080i \(-0.106401\pi\)
\(102\) −0.621738 + 0.440119i −0.0615612 + 0.0435783i
\(103\) 2.61040 + 0.950109i 0.257211 + 0.0936170i 0.467407 0.884042i \(-0.345188\pi\)
−0.210197 + 0.977659i \(0.567410\pi\)
\(104\) −0.180759 1.02514i −0.0177249 0.100523i
\(105\) 1.18748 0.324728i 0.115886 0.0316902i
\(106\) −2.03868 1.71066i −0.198014 0.166154i
\(107\) −5.03129 −0.486393 −0.243197 0.969977i \(-0.578196\pi\)
−0.243197 + 0.969977i \(0.578196\pi\)
\(108\) −4.30184 2.91448i −0.413944 0.280446i
\(109\) −16.3742 −1.56836 −0.784182 0.620531i \(-0.786917\pi\)
−0.784182 + 0.620531i \(0.786917\pi\)
\(110\) 0.172546 + 0.144783i 0.0164516 + 0.0138046i
\(111\) 3.04137 11.5882i 0.288674 1.09990i
\(112\) 0.173648 + 0.984808i 0.0164082 + 0.0930556i
\(113\) 10.9473 + 3.98450i 1.02984 + 0.374831i 0.801019 0.598638i \(-0.204291\pi\)
0.228819 + 0.973469i \(0.426514\pi\)
\(114\) 6.62230 + 3.04674i 0.620236 + 0.285353i
\(115\) 0.0436745 0.247690i 0.00407267 0.0230972i
\(116\) −0.532313 + 0.921992i −0.0494240 + 0.0856049i
\(117\) −2.03179 2.37151i −0.187839 0.219246i
\(118\) 6.34584 + 10.9913i 0.584182 + 1.01183i
\(119\) 0.413273 0.150419i 0.0378847 0.0137889i
\(120\) −1.22693 0.100998i −0.112003 0.00921983i
\(121\) −8.34956 + 7.00611i −0.759051 + 0.636919i
\(122\) 9.39661 7.88469i 0.850729 0.713846i
\(123\) 3.96784 + 0.326623i 0.357768 + 0.0294506i
\(124\) −0.0348752 + 0.0126935i −0.00313188 + 0.00113991i
\(125\) −3.37429 5.84444i −0.301806 0.522743i
\(126\) 1.95186 + 2.27821i 0.173885 + 0.202959i
\(127\) 2.65330 4.59565i 0.235442 0.407798i −0.723959 0.689843i \(-0.757680\pi\)
0.959401 + 0.282045i \(0.0910128\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) 4.64622 + 2.13760i 0.409077 + 0.188205i
\(130\) −0.695251 0.253051i −0.0609776 0.0221940i
\(131\) 1.26878 + 7.19563i 0.110854 + 0.628685i 0.988720 + 0.149778i \(0.0478558\pi\)
−0.877866 + 0.478907i \(0.841033\pi\)
\(132\) −0.139340 + 0.530910i −0.0121279 + 0.0462098i
\(133\) −3.22399 2.70525i −0.279556 0.234575i
\(134\) −9.55795 −0.825681
\(135\) −3.32278 + 1.61220i −0.285979 + 0.138756i
\(136\) −0.439796 −0.0377122
\(137\) −11.7981 9.89976i −1.00798 0.845794i −0.0199083 0.999802i \(-0.506337\pi\)
−0.988070 + 0.154008i \(0.950782\pi\)
\(138\) 0.591197 0.161668i 0.0503260 0.0137621i
\(139\) 2.71705 + 15.4092i 0.230458 + 1.30699i 0.851972 + 0.523587i \(0.175407\pi\)
−0.621515 + 0.783403i \(0.713482\pi\)
\(140\) 0.667901 + 0.243096i 0.0564479 + 0.0205454i
\(141\) −1.01289 + 0.717014i −0.0853011 + 0.0603835i
\(142\) −1.20402 + 6.82834i −0.101039 + 0.573021i
\(143\) −0.164940 + 0.285684i −0.0137929 + 0.0238901i
\(144\) −1.05495 2.80839i −0.0879126 0.234033i
\(145\) 0.378349 + 0.655320i 0.0314202 + 0.0544214i
\(146\) 9.89831 3.60269i 0.819190 0.298161i
\(147\) −0.740046 1.56599i −0.0610379 0.129161i
\(148\) 5.29875 4.44618i 0.435555 0.365474i
\(149\) −7.58908 + 6.36799i −0.621721 + 0.521686i −0.898344 0.439292i \(-0.855229\pi\)
0.276623 + 0.960979i \(0.410785\pi\)
\(150\) 4.43263 6.40014i 0.361923 0.522569i
\(151\) −2.50954 + 0.913399i −0.204224 + 0.0743313i −0.442107 0.896962i \(-0.645769\pi\)
0.237883 + 0.971294i \(0.423547\pi\)
\(152\) 2.10431 + 3.64477i 0.170682 + 0.295630i
\(153\) −1.13579 + 0.671392i −0.0918232 + 0.0542788i
\(154\) 0.158451 0.274445i 0.0127683 0.0221154i
\(155\) −0.00458065 + 0.0259781i −0.000367926 + 0.00208661i
\(156\) −0.166359 1.79529i −0.0133194 0.143738i
\(157\) −2.43198 0.885168i −0.194093 0.0706441i 0.243145 0.969990i \(-0.421821\pi\)
−0.437238 + 0.899346i \(0.644043\pi\)
\(158\) −2.03766 11.5562i −0.162108 0.919359i
\(159\) −3.27611 3.24265i −0.259813 0.257159i
\(160\) −0.544478 0.456871i −0.0430447 0.0361188i
\(161\) −0.353860 −0.0278881
\(162\) −7.01174 5.64230i −0.550894 0.443301i
\(163\) −11.0196 −0.863123 −0.431561 0.902084i \(-0.642037\pi\)
−0.431561 + 0.902084i \(0.642037\pi\)
\(164\) 1.76082 + 1.47750i 0.137497 + 0.115373i
\(165\) 0.277278 + 0.274445i 0.0215860 + 0.0213655i
\(166\) 0.900216 + 5.10538i 0.0698703 + 0.396254i
\(167\) 14.7404 + 5.36507i 1.14065 + 0.415161i 0.842147 0.539248i \(-0.181292\pi\)
0.298500 + 0.954410i \(0.403514\pi\)
\(168\) 0.159815 + 1.72466i 0.0123300 + 0.133061i
\(169\) −2.06927 + 11.7354i −0.159174 + 0.902722i
\(170\) −0.156296 + 0.270713i −0.0119874 + 0.0207627i
\(171\) 10.9986 + 6.20033i 0.841081 + 0.474151i
\(172\) 1.47639 + 2.55718i 0.112574 + 0.194983i
\(173\) −19.8102 + 7.21033i −1.50614 + 0.548191i −0.957643 0.287960i \(-0.907023\pi\)
−0.548500 + 0.836151i \(0.684801\pi\)
\(174\) −1.04990 + 1.51591i −0.0795925 + 0.114921i
\(175\) −3.44323 + 2.88921i −0.260283 + 0.218404i
\(176\) −0.242761 + 0.203701i −0.0182988 + 0.0153545i
\(177\) 9.39242 + 19.8751i 0.705978 + 1.49390i
\(178\) −10.0394 + 3.65402i −0.752481 + 0.273881i
\(179\) 4.53265 + 7.85078i 0.338786 + 0.586795i 0.984205 0.177034i \(-0.0566503\pi\)
−0.645418 + 0.763829i \(0.723317\pi\)
\(180\) −2.10359 0.348689i −0.156793 0.0259897i
\(181\) 8.95886 15.5172i 0.665907 1.15338i −0.313132 0.949710i \(-0.601378\pi\)
0.979039 0.203675i \(-0.0652885\pi\)
\(182\) −0.180759 + 1.02514i −0.0133988 + 0.0759881i
\(183\) 17.3409 12.2754i 1.28188 0.907424i
\(184\) 0.332520 + 0.121027i 0.0245137 + 0.00892225i
\(185\) −0.853721 4.84169i −0.0627668 0.355968i
\(186\) −0.0620056 + 0.0169560i −0.00454647 + 0.00124328i
\(187\) 0.106765 + 0.0895869i 0.00780746 + 0.00655124i
\(188\) −0.716488 −0.0522553
\(189\) 3.04559 + 4.21003i 0.221534 + 0.306235i
\(190\) 2.99134 0.217015
\(191\) −1.59185 1.33572i −0.115182 0.0966491i 0.583378 0.812201i \(-0.301731\pi\)
−0.698559 + 0.715552i \(0.746175\pi\)
\(192\) 0.439693 1.67531i 0.0317321 0.120905i
\(193\) 3.01918 + 17.1226i 0.217326 + 1.23251i 0.876825 + 0.480809i \(0.159657\pi\)
−0.659500 + 0.751705i \(0.729232\pi\)
\(194\) 3.98948 + 1.45205i 0.286428 + 0.104251i
\(195\) −1.16419 0.535613i −0.0833696 0.0383560i
\(196\) 0.173648 0.984808i 0.0124034 0.0703434i
\(197\) −13.8089 + 23.9177i −0.983843 + 1.70407i −0.336874 + 0.941550i \(0.609370\pi\)
−0.646969 + 0.762517i \(0.723964\pi\)
\(198\) −0.315971 + 0.896663i −0.0224551 + 0.0637231i
\(199\) 7.04613 + 12.2043i 0.499487 + 0.865137i 1.00000 0.000592426i \(-0.000188575\pi\)
−0.500513 + 0.865729i \(0.666855\pi\)
\(200\) 4.22374 1.53732i 0.298664 0.108705i
\(201\) −16.4990 1.35816i −1.16375 0.0957974i
\(202\) 7.50052 6.29369i 0.527735 0.442822i
\(203\) 0.815550 0.684328i 0.0572404 0.0480304i
\(204\) −0.759182 0.0624941i −0.0531534 0.00437546i
\(205\) 1.53522 0.558776i 0.107225 0.0390266i
\(206\) 1.38897 + 2.40576i 0.0967738 + 0.167617i
\(207\) 1.04350 0.195066i 0.0725286 0.0135580i
\(208\) 0.520475 0.901489i 0.0360885 0.0625070i
\(209\) 0.231598 1.31346i 0.0160200 0.0908539i
\(210\) 1.11839 + 0.514543i 0.0771766 + 0.0355068i
\(211\) 12.1954 + 4.43878i 0.839569 + 0.305578i 0.725780 0.687927i \(-0.241479\pi\)
0.113789 + 0.993505i \(0.463701\pi\)
\(212\) −0.462131 2.62088i −0.0317393 0.180003i
\(213\) −3.04869 + 11.6161i −0.208892 + 0.795920i
\(214\) −3.85419 3.23405i −0.263467 0.221075i
\(215\) 2.09873 0.143132
\(216\) −1.42200 4.99779i −0.0967551 0.340057i
\(217\) 0.0371134 0.00251942
\(218\) −12.5434 10.5251i −0.849544 0.712852i
\(219\) 17.5985 4.81248i 1.18920 0.325197i
\(220\) 0.0391130 + 0.221821i 0.00263700 + 0.0149552i
\(221\) −0.430197 0.156579i −0.0289382 0.0105326i
\(222\) 9.77856 6.92211i 0.656294 0.464582i
\(223\) −1.50759 + 8.54997i −0.100956 + 0.572548i 0.891803 + 0.452424i \(0.149441\pi\)
−0.992759 + 0.120125i \(0.961671\pi\)
\(224\) −0.500000 + 0.866025i −0.0334077 + 0.0578638i
\(225\) 8.56111 10.4181i 0.570741 0.694542i
\(226\) 5.82496 + 10.0891i 0.387470 + 0.671118i
\(227\) −18.4781 + 6.72548i −1.22643 + 0.446386i −0.872375 0.488837i \(-0.837421\pi\)
−0.354059 + 0.935223i \(0.615199\pi\)
\(228\) 3.11457 + 6.59067i 0.206268 + 0.436478i
\(229\) −7.17308 + 6.01893i −0.474011 + 0.397742i −0.848255 0.529588i \(-0.822347\pi\)
0.374244 + 0.927330i \(0.377902\pi\)
\(230\) 0.192669 0.161668i 0.0127042 0.0106601i
\(231\) 0.312518 0.451235i 0.0205622 0.0296891i
\(232\) −1.00042 + 0.364123i −0.0656808 + 0.0239059i
\(233\) −7.43410 12.8762i −0.487024 0.843551i 0.512864 0.858470i \(-0.328584\pi\)
−0.999889 + 0.0149188i \(0.995251\pi\)
\(234\) −0.0320645 3.12269i −0.00209612 0.204136i
\(235\) −0.254627 + 0.441027i −0.0166101 + 0.0287695i
\(236\) −2.20389 + 12.4989i −0.143461 + 0.813607i
\(237\) −1.87533 20.2379i −0.121816 1.31460i
\(238\) 0.413273 + 0.150419i 0.0267885 + 0.00975023i
\(239\) 2.58855 + 14.6804i 0.167440 + 0.949597i 0.946513 + 0.322665i \(0.104579\pi\)
−0.779074 + 0.626932i \(0.784310\pi\)
\(240\) −0.874964 0.866025i −0.0564787 0.0559017i
\(241\) 11.5894 + 9.72466i 0.746539 + 0.626420i 0.934585 0.355740i \(-0.115771\pi\)
−0.188046 + 0.982160i \(0.560215\pi\)
\(242\) −10.8996 −0.700651
\(243\) −11.3020 10.7362i −0.725023 0.688725i
\(244\) 12.2664 0.785276
\(245\) −0.544478 0.456871i −0.0347854 0.0291884i
\(246\) 2.82959 + 2.80069i 0.180408 + 0.178565i
\(247\) 0.760747 + 4.31441i 0.0484052 + 0.274519i
\(248\) −0.0348752 0.0126935i −0.00221457 0.000806039i
\(249\) 0.828501 + 8.94089i 0.0525041 + 0.566606i
\(250\) 1.17188 6.64606i 0.0741161 0.420333i
\(251\) 4.88176 8.45545i 0.308134 0.533704i −0.669820 0.742523i \(-0.733629\pi\)
0.977954 + 0.208820i \(0.0669622\pi\)
\(252\) 0.0308031 + 2.99984i 0.00194041 + 0.188972i
\(253\) −0.0560695 0.0971152i −0.00352506 0.00610558i
\(254\) 4.98657 1.81496i 0.312885 0.113881i
\(255\) −0.308268 + 0.445098i −0.0193045 + 0.0278731i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −23.8048 + 19.9746i −1.48490 + 1.24598i −0.584156 + 0.811641i \(0.698574\pi\)
−0.900748 + 0.434342i \(0.856981\pi\)
\(258\) 2.18519 + 4.62403i 0.136044 + 0.287879i
\(259\) −6.49988 + 2.36576i −0.403883 + 0.147001i
\(260\) −0.369936 0.640747i −0.0229424 0.0397374i
\(261\) −2.02775 + 2.46760i −0.125515 + 0.152741i
\(262\) −3.65332 + 6.32773i −0.225703 + 0.390928i
\(263\) 4.73969 26.8801i 0.292262 1.65750i −0.385867 0.922554i \(-0.626098\pi\)
0.678129 0.734943i \(-0.262791\pi\)
\(264\) −0.448003 + 0.317135i −0.0275727 + 0.0195183i
\(265\) −1.77749 0.646954i −0.109190 0.0397420i
\(266\) −0.730820 4.14468i −0.0448094 0.254127i
\(267\) −17.8493 + 4.88105i −1.09236 + 0.298716i
\(268\) −7.32181 6.14373i −0.447251 0.375288i
\(269\) −3.42609 −0.208892 −0.104446 0.994531i \(-0.533307\pi\)
−0.104446 + 0.994531i \(0.533307\pi\)
\(270\) −3.58170 0.900826i −0.217975 0.0548225i
\(271\) 17.6653 1.07309 0.536547 0.843871i \(-0.319729\pi\)
0.536547 + 0.843871i \(0.319729\pi\)
\(272\) −0.336904 0.282696i −0.0204278 0.0171409i
\(273\) −0.457698 + 1.74392i −0.0277011 + 0.105547i
\(274\) −2.67441 15.1673i −0.161567 0.916291i
\(275\) −1.33851 0.487179i −0.0807154 0.0293780i
\(276\) 0.556802 + 0.256169i 0.0335155 + 0.0154196i
\(277\) −0.491127 + 2.78532i −0.0295090 + 0.167354i −0.996001 0.0893433i \(-0.971523\pi\)
0.966492 + 0.256697i \(0.0826343\pi\)
\(278\) −7.82345 + 13.5506i −0.469219 + 0.812711i
\(279\) −0.109444 + 0.0204588i −0.00655226 + 0.00122484i
\(280\) 0.355383 + 0.615541i 0.0212382 + 0.0367856i
\(281\) −4.47035 + 1.62708i −0.266679 + 0.0970632i −0.471899 0.881653i \(-0.656431\pi\)
0.205220 + 0.978716i \(0.434209\pi\)
\(282\) −1.23681 0.101811i −0.0736510 0.00606278i
\(283\) 3.13851 2.63352i 0.186565 0.156547i −0.544722 0.838617i \(-0.683365\pi\)
0.731287 + 0.682070i \(0.238920\pi\)
\(284\) −5.31150 + 4.45688i −0.315180 + 0.264467i
\(285\) 5.16369 + 0.425063i 0.305871 + 0.0251786i
\(286\) −0.309985 + 0.112825i −0.0183298 + 0.00667150i
\(287\) −1.14929 1.99063i −0.0678405 0.117503i
\(288\) 0.997061 2.82946i 0.0587524 0.166728i
\(289\) 8.40329 14.5549i 0.494311 0.856172i
\(290\) −0.131399 + 0.745203i −0.00771603 + 0.0437598i
\(291\) 6.68036 + 3.07345i 0.391609 + 0.180169i
\(292\) 9.89831 + 3.60269i 0.579255 + 0.210831i
\(293\) −2.73342 15.5020i −0.159688 0.905635i −0.954374 0.298614i \(-0.903476\pi\)
0.794686 0.607021i \(-0.207635\pi\)
\(294\) 0.439693 1.67531i 0.0256434 0.0977062i
\(295\) 6.91034 + 5.79846i 0.402335 + 0.337599i
\(296\) 6.91703 0.402044
\(297\) −0.672846 + 1.50293i −0.0390425 + 0.0872090i
\(298\) −9.90684 −0.573888
\(299\) 0.282173 + 0.236771i 0.0163185 + 0.0136928i
\(300\) 7.50952 2.05355i 0.433563 0.118562i
\(301\) −0.512745 2.90792i −0.0295541 0.167610i
\(302\) −2.50954 0.913399i −0.144408 0.0525602i
\(303\) 13.8418 9.79843i 0.795191 0.562905i
\(304\) −0.730820 + 4.14468i −0.0419154 + 0.237714i
\(305\) 4.35926 7.55047i 0.249611 0.432338i
\(306\) −1.30163 0.215756i −0.0744092 0.0123340i
\(307\) 9.73348 + 16.8589i 0.555519 + 0.962188i 0.997863 + 0.0653419i \(0.0208138\pi\)
−0.442344 + 0.896846i \(0.645853\pi\)
\(308\) 0.297791 0.108387i 0.0169682 0.00617592i
\(309\) 2.05580 + 4.35022i 0.116950 + 0.247475i
\(310\) −0.0202074 + 0.0169560i −0.00114770 + 0.000963037i
\(311\) 7.98632 6.70132i 0.452862 0.379997i −0.387634 0.921813i \(-0.626708\pi\)
0.840497 + 0.541816i \(0.182263\pi\)
\(312\) 1.02655 1.48220i 0.0581169 0.0839132i
\(313\) 16.8397 6.12915i 0.951836 0.346440i 0.181007 0.983482i \(-0.442064\pi\)
0.770829 + 0.637042i \(0.219842\pi\)
\(314\) −1.29403 2.24132i −0.0730262 0.126485i
\(315\) 1.85747 + 1.04713i 0.104657 + 0.0589991i
\(316\) 5.86722 10.1623i 0.330057 0.571675i
\(317\) 1.81529 10.2950i 0.101957 0.578225i −0.890436 0.455109i \(-0.849600\pi\)
0.992392 0.123116i \(-0.0392886\pi\)
\(318\) −0.425316 4.58986i −0.0238505 0.257386i
\(319\) 0.317035 + 0.115391i 0.0177506 + 0.00646068i
\(320\) −0.123423 0.699967i −0.00689956 0.0391293i
\(321\) −6.19360 6.13033i −0.345693 0.342162i
\(322\) −0.271073 0.227457i −0.0151063 0.0126757i
\(323\) 1.85094 0.102989
\(324\) −1.74451 8.82931i −0.0969170 0.490517i
\(325\) 4.67888 0.259537
\(326\) −8.44151 7.08327i −0.467532 0.392306i
\(327\) −20.1569 19.9510i −1.11468 1.10329i
\(328\) 0.399145 + 2.26366i 0.0220391 + 0.124990i
\(329\) 0.673278 + 0.245053i 0.0371190 + 0.0135102i
\(330\) 0.0359971 + 0.388468i 0.00198158 + 0.0213845i
\(331\) 2.39460 13.5804i 0.131619 0.746448i −0.845536 0.533919i \(-0.820719\pi\)
0.977155 0.212529i \(-0.0681701\pi\)
\(332\) −2.59207 + 4.48959i −0.142258 + 0.246399i
\(333\) 17.8635 10.5595i 0.978913 0.578658i
\(334\) 7.84321 + 13.5848i 0.429161 + 0.743329i
\(335\) −6.38376 + 2.32350i −0.348782 + 0.126946i
\(336\) −0.986166 + 1.42389i −0.0537998 + 0.0776798i
\(337\) 14.6298 12.2759i 0.796937 0.668709i −0.150515 0.988608i \(-0.548093\pi\)
0.947452 + 0.319898i \(0.103649\pi\)
\(338\) −9.12851 + 7.65973i −0.496525 + 0.416634i
\(339\) 8.62147 + 18.2437i 0.468254 + 0.990860i
\(340\) −0.293740 + 0.106913i −0.0159303 + 0.00579816i
\(341\) 0.00588065 + 0.0101856i 0.000318455 + 0.000551580i
\(342\) 4.43989 + 11.8195i 0.240082 + 0.639124i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) −0.512745 + 2.90792i −0.0276453 + 0.156784i
\(345\) 0.355560 0.251696i 0.0191427 0.0135509i
\(346\) −19.8102 7.21033i −1.06500 0.387630i
\(347\) 1.78057 + 10.0981i 0.0955860 + 0.542095i 0.994566 + 0.104106i \(0.0331981\pi\)
−0.898980 + 0.437989i \(0.855691\pi\)
\(348\) −1.77868 + 0.486396i −0.0953472 + 0.0260736i
\(349\) −9.49751 7.96936i −0.508390 0.426590i 0.352172 0.935935i \(-0.385443\pi\)
−0.860562 + 0.509345i \(0.829888\pi\)
\(350\) −4.49481 −0.240258
\(351\) 0.388377 5.39497i 0.0207300 0.287962i
\(352\) −0.316902 −0.0168909
\(353\) −22.9363 19.2458i −1.22078 1.02435i −0.998784 0.0493035i \(-0.984300\pi\)
−0.221991 0.975049i \(-0.571256\pi\)
\(354\) −5.58044 + 21.2625i −0.296597 + 1.13009i
\(355\) 0.855775 + 4.85334i 0.0454198 + 0.257589i
\(356\) −10.0394 3.65402i −0.532085 0.193663i
\(357\) 0.692023 + 0.318381i 0.0366258 + 0.0168505i
\(358\) −1.57417 + 8.92758i −0.0831976 + 0.471837i
\(359\) 17.4399 30.2068i 0.920442 1.59425i 0.121710 0.992566i \(-0.461162\pi\)
0.798732 0.601687i \(-0.205505\pi\)
\(360\) −1.38731 1.61927i −0.0731178 0.0853432i
\(361\) 0.643746 + 1.11500i 0.0338814 + 0.0586842i
\(362\) 16.8371 6.12822i 0.884941 0.322092i
\(363\) −18.8150 1.54881i −0.987530 0.0812912i
\(364\) −0.797414 + 0.669110i −0.0417959 + 0.0350709i
\(365\) 5.73529 4.81248i 0.300199 0.251897i
\(366\) 21.1744 + 1.74303i 1.10680 + 0.0911095i
\(367\) −20.0830 + 7.30961i −1.04832 + 0.381558i −0.808030 0.589142i \(-0.799466\pi\)
−0.240293 + 0.970700i \(0.577244\pi\)
\(368\) 0.176930 + 0.306452i 0.00922312 + 0.0159749i
\(369\) 4.48651 + 5.23666i 0.233558 + 0.272610i
\(370\) 2.45819 4.25771i 0.127795 0.221348i
\(371\) −0.462131 + 2.62088i −0.0239927 + 0.136069i
\(372\) −0.0583982 0.0268674i −0.00302780 0.00139301i
\(373\) 3.12351 + 1.13687i 0.161729 + 0.0588647i 0.421616 0.906774i \(-0.361463\pi\)
−0.259887 + 0.965639i \(0.583685\pi\)
\(374\) 0.0242018 + 0.137255i 0.00125144 + 0.00709729i
\(375\) 2.96730 11.3060i 0.153231 0.583838i
\(376\) −0.548862 0.460550i −0.0283054 0.0237510i
\(377\) −1.10822 −0.0570763
\(378\) −0.373098 + 5.18274i −0.0191901 + 0.266571i
\(379\) −30.3916 −1.56111 −0.780555 0.625087i \(-0.785064\pi\)
−0.780555 + 0.625087i \(0.785064\pi\)
\(380\) 2.29150 + 1.92280i 0.117552 + 0.0986375i
\(381\) 8.86578 2.42443i 0.454208 0.124207i
\(382\) −0.360842 2.04644i −0.0184623 0.104705i
\(383\) −16.2552 5.91640i −0.830600 0.302314i −0.108495 0.994097i \(-0.534603\pi\)
−0.722105 + 0.691783i \(0.756825\pi\)
\(384\) 1.41369 1.00073i 0.0721423 0.0510685i
\(385\) 0.0391130 0.221821i 0.00199338 0.0113050i
\(386\) −8.69339 + 15.0574i −0.442482 + 0.766401i
\(387\) 3.11504 + 8.29256i 0.158346 + 0.421535i
\(388\) 2.12276 + 3.67673i 0.107767 + 0.186657i
\(389\) 12.5305 4.56071i 0.635319 0.231237i −0.00422549 0.999991i \(-0.501345\pi\)
0.639545 + 0.768754i \(0.279123\pi\)
\(390\) −0.547538 1.15863i −0.0277257 0.0586696i
\(391\) 0.119217 0.100035i 0.00602905 0.00505897i
\(392\) 0.766044 0.642788i 0.0386911 0.0324657i
\(393\) −7.20555 + 10.4039i −0.363472 + 0.524806i
\(394\) −25.9522 + 9.44584i −1.30745 + 0.475875i
\(395\) −4.17022 7.22303i −0.209826 0.363430i
\(396\) −0.818412 + 0.483782i −0.0411267 + 0.0243110i
\(397\) 13.0425 22.5902i 0.654583 1.13377i −0.327416 0.944880i \(-0.606178\pi\)
0.981998 0.188890i \(-0.0604889\pi\)
\(398\) −2.44709 + 13.8782i −0.122662 + 0.695650i
\(399\) −0.672599 7.25845i −0.0336721 0.363377i
\(400\) 4.22374 + 1.53732i 0.211187 + 0.0768658i
\(401\) −3.07414 17.4343i −0.153515 0.870629i −0.960131 0.279552i \(-0.909814\pi\)
0.806615 0.591077i \(-0.201297\pi\)
\(402\) −11.7660 11.6458i −0.586834 0.580839i
\(403\) −0.0295947 0.0248329i −0.00147422 0.00123702i
\(404\) 9.79124 0.487132
\(405\) −6.05477 2.06397i −0.300864 0.102559i
\(406\) 1.06463 0.0528365
\(407\) −1.67919 1.40900i −0.0832341 0.0698417i
\(408\) −0.541397 0.535866i −0.0268031 0.0265293i
\(409\) −2.11240 11.9800i −0.104452 0.592374i −0.991438 0.130579i \(-0.958317\pi\)
0.886986 0.461796i \(-0.152795\pi\)
\(410\) 1.53522 + 0.558776i 0.0758193 + 0.0275960i
\(411\) −2.46135 26.5620i −0.121410 1.31021i
\(412\) −0.482383 + 2.73573i −0.0237653 + 0.134780i
\(413\) 6.34584 10.9913i 0.312258 0.540847i
\(414\) 0.924757 + 0.521322i 0.0454493 + 0.0256216i
\(415\) 1.84235 + 3.19105i 0.0904375 + 0.156642i
\(416\) 0.978173 0.356026i 0.0479589 0.0174556i
\(417\) −15.4304 + 22.2795i −0.755632 + 1.09103i
\(418\) 1.02169 0.857300i 0.0499725 0.0419319i
\(419\) −15.6759 + 13.1537i −0.765819 + 0.642599i −0.939635 0.342180i \(-0.888835\pi\)
0.173815 + 0.984778i \(0.444390\pi\)
\(420\) 0.525999 + 1.11305i 0.0256661 + 0.0543114i
\(421\) 14.9735 5.44991i 0.729764 0.265612i 0.0496991 0.998764i \(-0.484174\pi\)
0.680065 + 0.733152i \(0.261952\pi\)
\(422\) 6.48906 + 11.2394i 0.315883 + 0.547125i
\(423\) −2.12053 0.351496i −0.103104 0.0170903i
\(424\) 1.33065 2.30476i 0.0646223 0.111929i
\(425\) 0.343268 1.94677i 0.0166510 0.0944322i
\(426\) −9.80209 + 6.93877i −0.474913 + 0.336184i
\(427\) −11.5266 4.19535i −0.557813 0.203027i
\(428\) −0.873674 4.95485i −0.0422306 0.239502i
\(429\) −0.551132 + 0.150712i −0.0266089 + 0.00727646i
\(430\) 1.60772 + 1.34904i 0.0775312 + 0.0650564i
\(431\) 41.0697 1.97826 0.989128 0.147057i \(-0.0469800\pi\)
0.989128 + 0.147057i \(0.0469800\pi\)
\(432\) 2.12320 4.74258i 0.102152 0.228177i
\(433\) −1.11049 −0.0533668 −0.0266834 0.999644i \(-0.508495\pi\)
−0.0266834 + 0.999644i \(0.508495\pi\)
\(434\) 0.0284305 + 0.0238560i 0.00136471 + 0.00114513i
\(435\) −0.332715 + 1.26771i −0.0159525 + 0.0607819i
\(436\) −2.84335 16.1254i −0.136172 0.772268i
\(437\) −1.39945 0.509358i −0.0669448 0.0243659i
\(438\) 16.5746 + 7.62553i 0.791967 + 0.364362i
\(439\) 3.87182 21.9582i 0.184792 1.04801i −0.741431 0.671030i \(-0.765852\pi\)
0.926222 0.376977i \(-0.123037\pi\)
\(440\) −0.112621 + 0.195066i −0.00536902 + 0.00929941i
\(441\) 0.997061 2.82946i 0.0474791 0.134736i
\(442\) −0.228903 0.396472i −0.0108878 0.0188582i
\(443\) 3.98956 1.45208i 0.189550 0.0689905i −0.245501 0.969396i \(-0.578953\pi\)
0.435051 + 0.900406i \(0.356730\pi\)
\(444\) 11.9403 + 0.982895i 0.566660 + 0.0466461i
\(445\) −5.81701 + 4.88105i −0.275753 + 0.231384i
\(446\) −6.65070 + 5.58060i −0.314920 + 0.264249i
\(447\) −17.1013 1.40774i −0.808864 0.0665838i
\(448\) −0.939693 + 0.342020i −0.0443963 + 0.0161589i
\(449\) 0.145051 + 0.251236i 0.00684540 + 0.0118566i 0.869428 0.494060i \(-0.164488\pi\)
−0.862582 + 0.505917i \(0.831154\pi\)
\(450\) 13.2548 2.47778i 0.624839 0.116803i
\(451\) 0.364213 0.630835i 0.0171501 0.0297049i
\(452\) −2.02299 + 11.4729i −0.0951533 + 0.539641i
\(453\) −4.20221 1.93332i −0.197437 0.0908353i
\(454\) −18.4781 6.72548i −0.867220 0.315642i
\(455\) 0.128477 + 0.728631i 0.00602311 + 0.0341587i
\(456\) −1.85050 + 7.05076i −0.0866576 + 0.330182i
\(457\) 24.1057 + 20.2270i 1.12761 + 0.946181i 0.998964 0.0455088i \(-0.0144909\pi\)
0.128651 + 0.991690i \(0.458935\pi\)
\(458\) −9.36379 −0.437541
\(459\) −2.21623 0.557400i −0.103445 0.0260172i
\(460\) 0.251511 0.0117268
\(461\) 16.7730 + 14.0742i 0.781196 + 0.655502i 0.943550 0.331231i \(-0.107464\pi\)
−0.162353 + 0.986733i \(0.551908\pi\)
\(462\) 0.529451 0.144783i 0.0246323 0.00673593i
\(463\) −3.07505 17.4395i −0.142910 0.810482i −0.969022 0.246976i \(-0.920563\pi\)
0.826112 0.563506i \(-0.190548\pi\)
\(464\) −1.00042 0.364123i −0.0464434 0.0169040i
\(465\) −0.0372917 + 0.0263983i −0.00172936 + 0.00122419i
\(466\) 2.58184 14.6423i 0.119601 0.678293i
\(467\) 7.37387 12.7719i 0.341222 0.591014i −0.643438 0.765498i \(-0.722493\pi\)
0.984660 + 0.174485i \(0.0558259\pi\)
\(468\) 1.98266 2.41273i 0.0916485 0.111528i
\(469\) 4.77897 + 8.27742i 0.220672 + 0.382216i
\(470\) −0.478543 + 0.174175i −0.0220735 + 0.00803411i
\(471\) −1.91528 4.05288i −0.0882515 0.186747i
\(472\) −9.72239 + 8.15805i −0.447509 + 0.375505i
\(473\) 0.716820 0.601483i 0.0329594 0.0276562i
\(474\) 11.5721 16.7086i 0.531525 0.767452i
\(475\) −17.7761 + 6.46999i −0.815625 + 0.296863i
\(476\) 0.219898 + 0.380875i 0.0100790 + 0.0174574i
\(477\) −0.0819765 7.98351i −0.00375345 0.365540i
\(478\) −7.45344 + 12.9097i −0.340913 + 0.590478i
\(479\) 1.55557 8.82208i 0.0710758 0.403091i −0.928426 0.371518i \(-0.878837\pi\)
0.999501 0.0315727i \(-0.0100516\pi\)
\(480\) −0.113591 1.22583i −0.00518468 0.0559512i
\(481\) 6.76605 + 2.46264i 0.308505 + 0.112287i
\(482\) 2.62710 + 14.8990i 0.119661 + 0.678633i
\(483\) −0.435608 0.431158i −0.0198208 0.0196184i
\(484\) −8.34956 7.00611i −0.379525 0.318460i
\(485\) 3.01757 0.137021
\(486\) −1.75676 15.4892i −0.0796883 0.702602i
\(487\) −24.5700 −1.11337 −0.556686 0.830723i \(-0.687927\pi\)
−0.556686 + 0.830723i \(0.687927\pi\)
\(488\) 9.39661 + 7.88469i 0.425364 + 0.356923i
\(489\) −13.5653 13.4267i −0.613445 0.607178i
\(490\) −0.123423 0.699967i −0.00557569 0.0316213i
\(491\) 38.2597 + 13.9254i 1.72664 + 0.628444i 0.998382 0.0568622i \(-0.0181096\pi\)
0.728255 + 0.685307i \(0.240332\pi\)
\(492\) 0.367347 + 3.96428i 0.0165613 + 0.178723i
\(493\) −0.0813053 + 0.461105i −0.00366180 + 0.0207671i
\(494\) −2.19048 + 3.79403i −0.0985545 + 0.170701i
\(495\) 0.00693818 + 0.675693i 0.000311848 + 0.0303702i
\(496\) −0.0185567 0.0321411i −0.000833220 0.00144318i
\(497\) 6.51552 2.37146i 0.292261 0.106374i
\(498\) −5.11242 + 7.38167i −0.229093 + 0.330780i
\(499\) −5.70104 + 4.78374i −0.255214 + 0.214150i −0.761414 0.648266i \(-0.775494\pi\)
0.506200 + 0.862416i \(0.331050\pi\)
\(500\) 5.16971 4.33791i 0.231197 0.193997i
\(501\) 11.6087 + 24.5648i 0.518637 + 1.09747i
\(502\) 9.17471 3.33932i 0.409487 0.149041i
\(503\) −4.58930 7.94889i −0.204627 0.354424i 0.745387 0.666632i \(-0.232265\pi\)
−0.950014 + 0.312208i \(0.898931\pi\)
\(504\) −1.90466 + 2.31781i −0.0848405 + 0.103244i
\(505\) 3.47963 6.02690i 0.154842 0.268194i
\(506\) 0.0194727 0.110435i 0.000865669 0.00490945i
\(507\) −16.8462 + 11.9252i −0.748165 + 0.529616i
\(508\) 4.98657 + 1.81496i 0.221243 + 0.0805260i
\(509\) 5.97540 + 33.8882i 0.264855 + 1.50207i 0.769447 + 0.638710i \(0.220532\pi\)
−0.504592 + 0.863358i \(0.668357\pi\)
\(510\) −0.522250 + 0.142814i −0.0231256 + 0.00632392i
\(511\) −8.06917 6.77084i −0.356959 0.299524i
\(512\) 1.00000 0.0441942
\(513\) 5.98468 + 21.0338i 0.264230 + 0.928666i
\(514\) −31.0750 −1.37066
\(515\) 1.51252 + 1.26916i 0.0666497 + 0.0559257i
\(516\) −1.29831 + 4.94682i −0.0571551 + 0.217772i
\(517\) 0.0394280 + 0.223607i 0.00173404 + 0.00983423i
\(518\) −6.49988 2.36576i −0.285588 0.103946i
\(519\) −33.1721 15.2615i −1.45609 0.669907i
\(520\) 0.128477 0.728631i 0.00563410 0.0319526i
\(521\) 5.05150 8.74945i 0.221310 0.383320i −0.733896 0.679262i \(-0.762300\pi\)
0.955206 + 0.295942i \(0.0956334\pi\)
\(522\) −3.13949 + 0.586877i −0.137412 + 0.0256869i
\(523\) 17.9183 + 31.0354i 0.783511 + 1.35708i 0.929884 + 0.367852i \(0.119907\pi\)
−0.146373 + 0.989229i \(0.546760\pi\)
\(524\) −6.86599 + 2.49902i −0.299942 + 0.109170i
\(525\) −7.75900 0.638703i −0.338631 0.0278753i
\(526\) 20.9090 17.5447i 0.911676 0.764987i
\(527\) −0.0125036 + 0.0104918i −0.000544666 + 0.000457029i
\(528\) −0.547040 0.0450311i −0.0238069 0.00195973i
\(529\) 21.4953 7.82364i 0.934577 0.340158i
\(530\) −0.945783 1.63814i −0.0410822 0.0711564i
\(531\) −12.6544 + 35.9107i −0.549153 + 1.55839i
\(532\) 2.10431 3.64477i 0.0912335 0.158021i
\(533\) −0.415490 + 2.35636i −0.0179969 + 0.102065i
\(534\) −16.8108 7.73419i −0.727475 0.334691i
\(535\) −3.36040 1.22309i −0.145283 0.0528786i
\(536\) −1.65972 9.41274i −0.0716890 0.406568i
\(537\) −3.98595 + 15.1872i −0.172006 + 0.655377i
\(538\) −2.62454 2.20225i −0.113152 0.0949457i
\(539\) −0.316902 −0.0136499
\(540\) −2.16470 2.99234i −0.0931539 0.128770i
\(541\) −23.0842 −0.992466 −0.496233 0.868189i \(-0.665284\pi\)
−0.496233 + 0.868189i \(0.665284\pi\)
\(542\) 13.5324 + 11.3551i 0.581268 + 0.487742i
\(543\) 29.9353 8.18609i 1.28465 0.351299i
\(544\) −0.0763698 0.433115i −0.00327433 0.0185696i
\(545\) −10.9363 3.98050i −0.468461 0.170506i
\(546\) −1.47158 + 1.04171i −0.0629780 + 0.0445813i
\(547\) −6.76293 + 38.3545i −0.289162 + 1.63992i 0.400865 + 0.916137i \(0.368710\pi\)
−0.690027 + 0.723783i \(0.742402\pi\)
\(548\) 7.70065 13.3379i 0.328955 0.569768i
\(549\) 36.3038 + 6.01767i 1.54941 + 0.256828i
\(550\) −0.712208 1.23358i −0.0303686 0.0526000i
\(551\) 4.21039 1.53246i 0.179369 0.0652849i
\(552\) 0.261873 + 0.554142i 0.0111460 + 0.0235859i
\(553\) −8.98910 + 7.54275i −0.382256 + 0.320750i
\(554\) −2.16660 + 1.81799i −0.0920498 + 0.0772390i
\(555\) 4.84837 7.00041i 0.205802 0.297151i
\(556\) −14.7033 + 5.35155i −0.623558 + 0.226956i
\(557\) 19.3192 + 33.4619i 0.818582 + 1.41783i 0.906727 + 0.421718i \(0.138573\pi\)
−0.0881449 + 0.996108i \(0.528094\pi\)
\(558\) −0.0969899 0.0546771i −0.00410591 0.00231466i
\(559\) −1.53685 + 2.66190i −0.0650017 + 0.112586i
\(560\) −0.123423 + 0.699967i −0.00521558 + 0.0295790i
\(561\) 0.0222737 + 0.240370i 0.000940398 + 0.0101484i
\(562\) −4.47035 1.62708i −0.188570 0.0686340i
\(563\) −0.537965 3.05095i −0.0226725 0.128582i 0.971371 0.237569i \(-0.0763505\pi\)
−0.994043 + 0.108987i \(0.965239\pi\)
\(564\) −0.882008 0.872998i −0.0371393 0.0367599i
\(565\) 6.34312 + 5.32251i 0.266857 + 0.223920i
\(566\) 4.09703 0.172211
\(567\) −1.38050 + 8.89349i −0.0579757 + 0.373492i
\(568\) −6.93367 −0.290931
\(569\) 24.0602 + 20.1889i 1.00865 + 0.846362i 0.988160 0.153428i \(-0.0490313\pi\)
0.0204950 + 0.999790i \(0.493476\pi\)
\(570\) 3.68239 + 3.64477i 0.154238 + 0.152663i
\(571\) −0.974927 5.52909i −0.0407994 0.231385i 0.957589 0.288138i \(-0.0930363\pi\)
−0.998388 + 0.0567532i \(0.981925\pi\)
\(572\) −0.309985 0.112825i −0.0129611 0.00471746i
\(573\) −0.332096 3.58386i −0.0138735 0.149718i
\(574\) 0.399145 2.26366i 0.0166600 0.0944834i
\(575\) −0.795267 + 1.37744i −0.0331649 + 0.0574434i
\(576\) 2.58254 1.52660i 0.107606 0.0636082i
\(577\) −2.23897 3.87800i −0.0932094 0.161443i 0.815650 0.578545i \(-0.196379\pi\)
−0.908860 + 0.417102i \(0.863046\pi\)
\(578\) 15.7930 5.74819i 0.656903 0.239093i
\(579\) −17.1463 + 24.7569i −0.712574 + 1.02886i
\(580\) −0.579665 + 0.486396i −0.0240693 + 0.0201965i
\(581\) 3.97128 3.33230i 0.164756 0.138247i
\(582\) 3.14188 + 6.64845i 0.130235 + 0.275587i
\(583\) −0.792513 + 0.288451i −0.0328225 + 0.0119464i
\(584\) 5.26678 + 9.12233i 0.217941 + 0.377485i
\(585\) −0.780528 2.07785i −0.0322709 0.0859085i
\(586\) 7.87056 13.6322i 0.325130 0.563141i
\(587\) −7.07940 + 40.1493i −0.292198 + 1.65714i 0.386178 + 0.922424i \(0.373795\pi\)
−0.678376 + 0.734715i \(0.737316\pi\)
\(588\) 1.41369 1.00073i 0.0582998 0.0412696i
\(589\) 0.146776 + 0.0534222i 0.00604781 + 0.00220122i
\(590\) 1.56645 + 8.88376i 0.0644896 + 0.365739i
\(591\) −46.1413 + 12.6178i −1.89800 + 0.519026i
\(592\) 5.29875 + 4.44618i 0.217777 + 0.182737i
\(593\) 37.6571 1.54639 0.773196 0.634167i \(-0.218657\pi\)
0.773196 + 0.634167i \(0.218657\pi\)
\(594\) −1.48150 + 0.718816i −0.0607865 + 0.0294934i
\(595\) 0.312592 0.0128150
\(596\) −7.58908 6.36799i −0.310861 0.260843i
\(597\) −6.19626 + 23.6089i −0.253596 + 0.966249i
\(598\) 0.0639634 + 0.362755i 0.00261566 + 0.0148341i
\(599\) 13.8231 + 5.03121i 0.564798 + 0.205570i 0.608609 0.793470i \(-0.291728\pi\)
−0.0438113 + 0.999040i \(0.513950\pi\)
\(600\) 7.07263 + 3.25392i 0.288739 + 0.132841i
\(601\) 3.21107 18.2109i 0.130982 0.742837i −0.846591 0.532243i \(-0.821349\pi\)
0.977574 0.210594i \(-0.0675398\pi\)
\(602\) 1.47639 2.55718i 0.0601731 0.104223i
\(603\) −18.6557 21.7750i −0.759721 0.886748i
\(604\) −1.33530 2.31281i −0.0543326 0.0941068i
\(605\) −7.27983 + 2.64964i −0.295967 + 0.107723i
\(606\) 16.9018 + 1.39131i 0.686587 + 0.0565182i
\(607\) 5.65601 4.74595i 0.229570 0.192632i −0.520745 0.853712i \(-0.674346\pi\)
0.750316 + 0.661080i \(0.229901\pi\)
\(608\) −3.22399 + 2.70525i −0.130750 + 0.109712i
\(609\) 1.83777 + 0.151281i 0.0744702 + 0.00613021i
\(610\) 8.19274 2.98191i 0.331714 0.120734i
\(611\) −0.372914 0.645906i −0.0150865 0.0261306i
\(612\) −0.858420 1.00195i −0.0346996 0.0405014i
\(613\) −9.97458 + 17.2765i −0.402869 + 0.697790i −0.994071 0.108734i \(-0.965320\pi\)
0.591202 + 0.806524i \(0.298654\pi\)
\(614\) −3.38040 + 19.1712i −0.136422 + 0.773687i
\(615\) 2.57072 + 1.18272i 0.103662 + 0.0476918i
\(616\) 0.297791 + 0.108387i 0.0119983 + 0.00436703i
\(617\) −1.96967 11.1705i −0.0792959 0.449709i −0.998442 0.0557934i \(-0.982231\pi\)
0.919146 0.393916i \(-0.128880\pi\)
\(618\) −1.22144 + 4.65390i −0.0491334 + 0.187207i
\(619\) 16.8949 + 14.1765i 0.679063 + 0.569802i 0.915732 0.401789i \(-0.131611\pi\)
−0.236669 + 0.971590i \(0.576056\pi\)
\(620\) −0.0263789 −0.00105940
\(621\) 1.52225 + 1.03132i 0.0610857 + 0.0413854i
\(622\) 10.4254 0.418020
\(623\) 8.18415 + 6.86732i 0.327891 + 0.275133i
\(624\) 1.73912 0.475580i 0.0696207 0.0190384i
\(625\) 3.06965 + 17.4088i 0.122786 + 0.696354i
\(626\) 16.8397 + 6.12915i 0.673050 + 0.244970i
\(627\) 1.88547 1.33470i 0.0752986 0.0533028i
\(628\) 0.449411 2.54874i 0.0179335 0.101706i
\(629\) 1.52104 2.63452i 0.0606479 0.105045i
\(630\) 0.749823 + 1.99611i 0.0298737 + 0.0795269i
\(631\) 0.263910 + 0.457106i 0.0105061 + 0.0181971i 0.871231 0.490874i \(-0.163322\pi\)
−0.860725 + 0.509071i \(0.829989\pi\)
\(632\) 11.0268 4.01341i 0.438621 0.159645i
\(633\) 9.60441 + 20.3236i 0.381741 + 0.807792i
\(634\) 8.00809 6.71958i 0.318042 0.266869i
\(635\) 2.88932 2.42443i 0.114659 0.0962106i
\(636\) 2.62449 3.78942i 0.104068 0.150260i
\(637\) 0.978173 0.356026i 0.0387566 0.0141063i
\(638\) 0.168691 + 0.292181i 0.00667854 + 0.0115676i
\(639\) −17.9065 + 10.5849i −0.708369 + 0.418733i
\(640\) 0.355383 0.615541i 0.0140477 0.0243314i
\(641\) 3.30794 18.7602i 0.130656 0.740985i −0.847131 0.531384i \(-0.821672\pi\)
0.977787 0.209601i \(-0.0672166\pi\)
\(642\) −0.804073 8.67727i −0.0317342 0.342465i
\(643\) −28.0855 10.2223i −1.10759 0.403128i −0.277478 0.960732i \(-0.589499\pi\)
−0.830107 + 0.557604i \(0.811721\pi\)
\(644\) −0.0614472 0.348484i −0.00242136 0.0137322i
\(645\) 2.58357 + 2.55718i 0.101728 + 0.100689i
\(646\) 1.41790 + 1.18976i 0.0557865 + 0.0468105i
\(647\) −25.2248 −0.991688 −0.495844 0.868412i \(-0.665141\pi\)
−0.495844 + 0.868412i \(0.665141\pi\)
\(648\) 4.33900 7.88499i 0.170452 0.309752i
\(649\) 4.02202 0.157878
\(650\) 3.58423 + 3.00752i 0.140585 + 0.117965i
\(651\) 0.0456872 + 0.0452204i 0.00179062 + 0.00177233i
\(652\) −1.91354 10.8522i −0.0749398 0.425005i
\(653\) −23.2190 8.45103i −0.908631 0.330714i −0.154925 0.987926i \(-0.549513\pi\)
−0.753706 + 0.657212i \(0.771736\pi\)
\(654\) −2.61684 28.2400i −0.102326 1.10427i
\(655\) −0.901807 + 5.11440i −0.0352365 + 0.199836i
\(656\) −1.14929 + 1.99063i −0.0448723 + 0.0777211i
\(657\) 27.5278 + 15.5185i 1.07396 + 0.605435i
\(658\) 0.358244 + 0.620497i 0.0139658 + 0.0241895i
\(659\) −24.0047 + 8.73701i −0.935092 + 0.340346i −0.764226 0.644949i \(-0.776879\pi\)
−0.170866 + 0.985294i \(0.554657\pi\)
\(660\) −0.222127 + 0.320722i −0.00864628 + 0.0124841i
\(661\) 32.2958 27.0994i 1.25616 1.05404i 0.260081 0.965587i \(-0.416251\pi\)
0.996080 0.0884570i \(-0.0281936\pi\)
\(662\) 10.5637 8.86400i 0.410570 0.344509i
\(663\) −0.338797 0.716921i −0.0131578 0.0278429i
\(664\) −4.87150 + 1.77308i −0.189051 + 0.0688088i
\(665\) −1.49567 2.59058i −0.0579996 0.100458i
\(666\) 20.4718 + 3.39337i 0.793264 + 0.131490i
\(667\) 0.188364 0.326256i 0.00729349 0.0126327i
\(668\) −2.72392 + 15.4481i −0.105392 + 0.597705i
\(669\) −12.2735 + 8.68824i −0.474521 + 0.335907i
\(670\) −6.38376 2.32350i −0.246626 0.0897646i
\(671\) −0.675013 3.82819i −0.0260586 0.147786i
\(672\) −1.67071 + 0.456871i −0.0644490 + 0.0176242i
\(673\) 17.0651 + 14.3193i 0.657810 + 0.551968i 0.909430 0.415858i \(-0.136519\pi\)
−0.251620 + 0.967826i \(0.580963\pi\)
\(674\) 19.0979 0.735622
\(675\) 23.2327 2.39368i 0.894229 0.0921329i
\(676\) −11.9164 −0.458324
\(677\) 27.2843 + 22.8943i 1.04862 + 0.879898i 0.992948 0.118551i \(-0.0378249\pi\)
0.0556736 + 0.998449i \(0.482269\pi\)
\(678\) −5.12238 + 19.5172i −0.196724 + 0.749555i
\(679\) −0.737226 4.18102i −0.0282921 0.160453i
\(680\) −0.293740 0.106913i −0.0112644 0.00409992i
\(681\) −30.9414 14.2353i −1.18568 0.545498i
\(682\) −0.00204233 + 0.0115826i −7.82048e−5 + 0.000443521i
\(683\) 15.6269 27.0666i 0.597947 1.03568i −0.395176 0.918605i \(-0.629316\pi\)
0.993124 0.117070i \(-0.0373502\pi\)
\(684\) −4.19625 + 11.9081i −0.160448 + 0.455319i
\(685\) −5.47335 9.48013i −0.209126 0.362217i
\(686\) −0.939693 + 0.342020i −0.0358776 + 0.0130584i
\(687\) −16.1639 1.33057i −0.616691 0.0507646i
\(688\) −2.26196 + 1.89801i −0.0862364 + 0.0723609i
\(689\) 2.12216 1.78071i 0.0808480 0.0678396i
\(690\) 0.434162 + 0.0357392i 0.0165283 + 0.00136057i
\(691\) 9.75707 3.55128i 0.371177 0.135097i −0.149695 0.988732i \(-0.547829\pi\)
0.520872 + 0.853635i \(0.325607\pi\)
\(692\) −10.5408 18.2572i −0.400701 0.694034i
\(693\) 0.934519 0.174693i 0.0354994 0.00663604i
\(694\) −5.12695 + 8.88013i −0.194616 + 0.337085i
\(695\) −1.93119 + 10.9523i −0.0732541 + 0.415445i
\(696\) −1.67520 0.770712i −0.0634982 0.0292137i
\(697\) 0.949943 + 0.345751i 0.0359817 + 0.0130963i
\(698\) −2.15291 12.2098i −0.0814889 0.462146i
\(699\) 6.53744 24.9089i 0.247269 0.942141i
\(700\) −3.44323 2.88921i −0.130142 0.109202i
\(701\) −3.43141 −0.129603 −0.0648013 0.997898i \(-0.520641\pi\)
−0.0648013 + 0.997898i \(0.520641\pi\)
\(702\) 3.76534 3.88315i 0.142113 0.146560i
\(703\) −29.1112 −1.09795
\(704\) −0.242761 0.203701i −0.00914940 0.00767726i
\(705\) −0.850816 + 0.232664i −0.0320436 + 0.00876262i
\(706\) −5.19923 29.4863i −0.195676 1.10973i
\(707\) −9.20075 3.34880i −0.346030 0.125945i
\(708\) −17.9422 + 12.7010i −0.674307 + 0.477333i
\(709\) 4.51366 25.5982i 0.169514 0.961362i −0.774773 0.632240i \(-0.782136\pi\)
0.944287 0.329123i \(-0.106753\pi\)
\(710\) −2.46411 + 4.26796i −0.0924763 + 0.160174i
\(711\) 22.3502 27.1982i 0.838197 1.02001i
\(712\) −5.34183 9.25232i −0.200193 0.346745i
\(713\) 0.0123409 0.00449173i 0.000462171 0.000168217i
\(714\) 0.325469 + 0.688718i 0.0121804 + 0.0257746i
\(715\) −0.179612 + 0.150712i −0.00671710 + 0.00563632i
\(716\) −6.94442 + 5.82706i −0.259525 + 0.217768i
\(717\) −14.7007 + 21.2258i −0.549007 + 0.792693i
\(718\) 32.7763 11.9296i 1.22320 0.445208i
\(719\) −10.3356 17.9018i −0.385453 0.667624i 0.606379 0.795176i \(-0.292621\pi\)
−0.991832 + 0.127552i \(0.959288\pi\)
\(720\) −0.0218938 2.13218i −0.000815932 0.0794618i
\(721\) 1.38897 2.40576i 0.0517278 0.0895952i
\(722\) −0.223571 + 1.26793i −0.00832044 + 0.0471875i
\(723\) 2.41782 + 26.0922i 0.0899195 + 0.970380i
\(724\) 16.8371 + 6.12822i 0.625748 + 0.227754i
\(725\) −0.830957 4.71259i −0.0308610 0.175021i
\(726\) −13.4176 13.2805i −0.497972 0.492885i
\(727\) −9.51131 7.98094i −0.352755 0.295997i 0.449140 0.893461i \(-0.351730\pi\)
−0.801895 + 0.597465i \(0.796175\pi\)
\(728\) −1.04095 −0.0385802
\(729\) −0.831566 26.9872i −0.0307988 0.999526i
\(730\) 7.48689 0.277102
\(731\) 0.994802 + 0.834738i 0.0367941 + 0.0308739i
\(732\) 15.1001 + 14.9459i 0.558117 + 0.552416i
\(733\) 0.239065 + 1.35580i 0.00883006 + 0.0500778i 0.988904 0.148553i \(-0.0474616\pi\)
−0.980074 + 0.198631i \(0.936350\pi\)
\(734\) −20.0830 7.30961i −0.741276 0.269803i
\(735\) −0.113591 1.22583i −0.00418985 0.0452154i
\(736\) −0.0614472 + 0.348484i −0.00226497 + 0.0128453i
\(737\) −1.51447 + 2.62313i −0.0557861 + 0.0966243i
\(738\) 0.0708034 + 6.89538i 0.00260631 + 0.253823i
\(739\) −12.8366 22.2337i −0.472202 0.817878i 0.527292 0.849684i \(-0.323207\pi\)
−0.999494 + 0.0318059i \(0.989874\pi\)
\(740\) 4.61989 1.68150i 0.169830 0.0618132i
\(741\) −4.32036 + 6.23803i −0.158712 + 0.229160i
\(742\) −2.03868 + 1.71066i −0.0748423 + 0.0628002i
\(743\) 30.2494 25.3823i 1.10974 0.931184i 0.111701 0.993742i \(-0.464370\pi\)
0.998041 + 0.0625574i \(0.0199257\pi\)
\(744\) −0.0274656 0.0581192i −0.00100694 0.00213075i
\(745\) −6.61678 + 2.40831i −0.242420 + 0.0882337i
\(746\) 1.66199 + 2.87865i 0.0608497 + 0.105395i
\(747\) −9.87404 + 12.0159i −0.361272 + 0.439637i
\(748\) −0.0696862 + 0.120700i −0.00254798 + 0.00441323i
\(749\) −0.873674 + 4.95485i −0.0319234 + 0.181046i
\(750\) 9.54043 6.75354i 0.348367 0.246604i
\(751\) 4.43165 + 1.61299i 0.161713 + 0.0588587i 0.421608 0.906778i \(-0.361466\pi\)
−0.259895 + 0.965637i \(0.583688\pi\)
\(752\) −0.124417 0.705603i −0.00453701 0.0257307i
\(753\) 16.3120 4.46067i 0.594442 0.162556i
\(754\) −0.848947 0.712351i −0.0309168 0.0259423i
\(755\) −1.89817 −0.0690814
\(756\) −3.61721 + 3.73039i −0.131557 + 0.135673i
\(757\) −50.3789 −1.83105 −0.915527 0.402257i \(-0.868226\pi\)
−0.915527 + 0.402257i \(0.868226\pi\)
\(758\) −23.2813 19.5353i −0.845615 0.709555i
\(759\) 0.0493067 0.187868i 0.00178972 0.00681917i
\(760\) 0.519441 + 2.94590i 0.0188421 + 0.106859i
\(761\) −42.0690 15.3118i −1.52500 0.555054i −0.562608 0.826724i \(-0.690202\pi\)
−0.962391 + 0.271670i \(0.912424\pi\)
\(762\) 8.34997 + 3.84159i 0.302488 + 0.139166i
\(763\) −2.84335 + 16.1254i −0.102936 + 0.583780i
\(764\) 1.03900 1.79961i 0.0375898 0.0651075i
\(765\) −0.921808 + 0.172317i −0.0333280 + 0.00623013i
\(766\) −8.64919 14.9808i −0.312508 0.541280i
\(767\) −12.4147 + 4.51857i −0.448267 + 0.163156i
\(768\) 1.72621 + 0.142098i 0.0622893 + 0.00512751i
\(769\) −4.46582