Properties

Label 378.2.u.b.211.2
Level 378
Weight 2
Character 378.211
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
Defining polynomial: \(x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} - 258 x^{3} + 108 x^{2} - 27 x + 3\)
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 211.2
Root \(0.500000 + 0.258654i\) of defining polynomial
Character \(\chi\) \(=\) 378.211
Dual form 378.2.u.b.43.2

$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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 −0.188326 0.982107i \(-0.560306\pi\)
0.487020 + 0.873391i \(0.338084\pi\)
\(6\) 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 0.386523 0.922280i \(-0.373676\pi\)
−0.296736 + 0.954960i \(0.595898\pi\)
\(12\) −0.986166 1.42389i −0.284682 0.411043i
\(13\) −0.797414 0.669110i −0.221163 0.185578i 0.525474 0.850810i \(-0.323888\pi\)
−0.746637 + 0.665232i \(0.768333\pi\)
\(14\) 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 −0.838126 0.545476i \(-0.816349\pi\)
0.891459 + 0.453101i \(0.149682\pi\)
\(18\) −1.90466 2.31781i −0.448934 0.546314i
\(19\) 2.10431 + 3.64477i 0.482762 + 0.836169i 0.999804 0.0197914i \(-0.00630022\pi\)
−0.517042 + 0.855960i \(0.672967\pi\)
\(20\) −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 −0.990544 0.137198i \(-0.956190\pi\)
0.977731 + 0.209862i \(0.0673015\pi\)
\(24\) −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 −0.563918 0.825831i \(-0.690706\pi\)
0.715362 + 0.698755i \(0.246262\pi\)
\(30\) −0.312518 1.19075i −0.0570578 0.217401i
\(31\) 0.00644467 0.0365495i 0.00115750 0.00656449i −0.984224 0.176929i \(-0.943384\pi\)
0.985381 + 0.170365i \(0.0544947\pi\)
\(32\) −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 0.428131 + 0.903717i \(0.359172\pi\)
−0.996707 + 0.0810862i \(0.974161\pi\)
\(38\) 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 0.769845 0.638230i \(-0.220333\pi\)
−0.494852 + 0.868977i \(0.664778\pi\)
\(42\) 1.72621 0.142098i 0.266360 0.0219262i
\(43\) 2.77470 + 1.00991i 0.423138 + 0.154010i 0.544808 0.838561i \(-0.316603\pi\)
−0.121669 + 0.992571i \(0.538825\pi\)
\(44\) 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 0.974388 0.224872i \(-0.0721965\pi\)
−0.992536 + 0.121950i \(0.961085\pi\)
\(48\) −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 0.583627 0.812022i \(-0.301633\pi\)
0.969042 + 0.246896i \(0.0794107\pi\)
\(60\) −1.00480 0.711287i −0.129720 0.0918268i
\(61\) 2.13004 + 12.0800i 0.272723 + 1.54669i 0.746102 + 0.665832i \(0.231923\pi\)
−0.473378 + 0.880859i \(0.656966\pi\)
\(62\) −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 0.0746063 0.997213i \(-0.476230\pi\)
−0.969108 + 0.246637i \(0.920674\pi\)
\(68\) −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 −0.583609 0.812035i \(-0.698360\pi\)
0.995047 + 0.0994032i \(0.0316934\pi\)
\(72\) −2.61334 + 1.47324i −0.307985 + 0.173624i
\(73\) 5.26678 + 9.12233i 0.616430 + 1.06769i 0.990132 + 0.140139i \(0.0447549\pi\)
−0.373702 + 0.927549i \(0.621912\pi\)
\(74\) 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 −0.988516 0.151113i \(-0.951714\pi\)
−0.0228366 + 0.999739i \(0.507270\pi\)
\(80\) −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 −0.398270 0.917268i \(-0.630389\pi\)
0.834174 + 0.551501i \(0.185945\pi\)
\(84\) 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 −0.996934 0.0782490i \(-0.975067\pi\)
0.430701 0.902495i \(-0.358266\pi\)
\(90\) −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 0.536517 0.843890i \(-0.319740\pi\)
−0.131446 + 0.991323i \(0.541962\pi\)
\(98\) −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 0.944650 + 0.328080i \(0.106401\pi\)
−0.775471 + 0.631383i \(0.782487\pi\)
\(102\) −0.621738 0.440119i −0.0615612 0.0435783i
\(103\) 2.61040 0.950109i 0.257211 0.0936170i −0.210197 0.977659i \(-0.567410\pi\)
0.467407 + 0.884042i \(0.345188\pi\)
\(104\) −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 0.228819 0.973469i \(-0.426514\pi\)
0.801019 + 0.598638i \(0.204291\pi\)
\(114\) 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 0.959401 0.282045i \(-0.0910128\pi\)
−0.723959 + 0.689843i \(0.757680\pi\)
\(128\) 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 −0.877866 0.478907i \(-0.841033\pi\)
0.988720 0.149778i \(-0.0478558\pi\)
\(132\) −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 −0.988070 0.154008i \(-0.950782\pi\)
−0.0199083 + 0.999802i \(0.506337\pi\)
\(138\) 0.591197 + 0.161668i 0.0503260 + 0.0137621i
\(139\) 2.71705 15.4092i 0.230458 1.30699i −0.621515 0.783403i \(-0.713482\pi\)
0.851972 0.523587i \(-0.175407\pi\)
\(140\) 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 0.276623 0.960979i \(-0.410785\pi\)
−0.898344 + 0.439292i \(0.855229\pi\)
\(150\) 4.43263 + 6.40014i 0.361923 + 0.522569i
\(151\) −2.50954 0.913399i −0.204224 0.0743313i 0.237883 0.971294i \(-0.423547\pi\)
−0.442107 + 0.896962i \(0.645769\pi\)
\(152\) 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 −0.437238 0.899346i \(-0.644043\pi\)
0.243145 + 0.969990i \(0.421821\pi\)
\(158\) −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 0.298500 0.954410i \(-0.403514\pi\)
0.842147 + 0.539248i \(0.181292\pi\)
\(168\) 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 −0.548500 0.836151i \(-0.684801\pi\)
−0.957643 + 0.287960i \(0.907023\pi\)
\(174\) −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 −0.645418 0.763829i \(-0.723317\pi\)
0.984205 + 0.177034i \(0.0566503\pi\)
\(180\) −2.10359 + 0.348689i −0.156793 + 0.0259897i
\(181\) 8.95886 + 15.5172i 0.665907 + 1.15338i 0.979039 + 0.203675i \(0.0652885\pi\)
−0.313132 + 0.949710i \(0.601378\pi\)
\(182\) −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 −0.698559 0.715552i \(-0.746175\pi\)
0.583378 + 0.812201i \(0.301731\pi\)
\(192\) 0.439693 + 1.67531i 0.0317321 + 0.120905i
\(193\) 3.01918 17.1226i 0.217326 1.23251i −0.659500 0.751705i \(-0.729232\pi\)
0.876825 0.480809i \(-0.159657\pi\)
\(194\) 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 −0.646969 0.762517i \(-0.723964\pi\)
−0.336874 0.941550i \(-0.609370\pi\)
\(198\) −0.315971 0.896663i −0.0224551 0.0637231i
\(199\) 7.04613 12.2043i 0.499487 0.865137i −0.500513 0.865729i \(-0.666855\pi\)
1.00000 0.000592426i \(0.000188575\pi\)
\(200\) 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 0.113789 0.993505i \(-0.463701\pi\)
0.725780 + 0.687927i \(0.241479\pi\)
\(212\) −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 −0.992759 0.120125i \(-0.961671\pi\)
0.891803 0.452424i \(-0.149441\pi\)
\(224\) −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 −0.354059 0.935223i \(-0.615199\pi\)
−0.872375 + 0.488837i \(0.837421\pi\)
\(228\) 3.11457 6.59067i 0.206268 0.436478i
\(229\) −7.17308 6.01893i −0.474011 0.397742i 0.374244 0.927330i \(-0.377902\pi\)
−0.848255 + 0.529588i \(0.822347\pi\)
\(230\) 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 −0.999889 0.0149188i \(-0.995251\pi\)
0.512864 + 0.858470i \(0.328584\pi\)
\(234\) −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 −0.779074 0.626932i \(-0.784310\pi\)
0.946513 0.322665i \(-0.104579\pi\)
\(240\) −0.874964 + 0.866025i −0.0564787 + 0.0559017i
\(241\) 11.5894 9.72466i 0.746539 0.626420i −0.188046 0.982160i \(-0.560215\pi\)
0.934585 + 0.355740i \(0.115771\pi\)
\(242\) −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 0.977954 0.208820i \(-0.0669622\pi\)
−0.669820 + 0.742523i \(0.733629\pi\)
\(252\) 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 −0.900748 0.434342i \(-0.856981\pi\)
−0.584156 0.811641i \(-0.698574\pi\)
\(258\) 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 0.678129 + 0.734943i \(0.262791\pi\)
−0.385867 + 0.922554i \(0.626098\pi\)
\(264\) −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 0.966492 0.256697i \(-0.0826343\pi\)
−0.996001 + 0.0893433i \(0.971523\pi\)
\(278\) −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 0.205220 0.978716i \(-0.434209\pi\)
−0.471899 + 0.881653i \(0.656431\pi\)
\(282\) −1.23681 + 0.101811i −0.0736510 + 0.00606278i
\(283\) 3.13851 + 2.63352i 0.186565 + 0.156547i 0.731287 0.682070i \(-0.238920\pi\)
−0.544722 + 0.838617i \(0.683365\pi\)
\(284\) −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 0.794686 + 0.607021i \(0.207635\pi\)
−0.954374 + 0.298614i \(0.903476\pi\)
\(294\) 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 −0.442344 0.896846i \(-0.645853\pi\)
0.997863 0.0653419i \(-0.0208138\pi\)
\(308\) 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 0.840497 0.541816i \(-0.182263\pi\)
−0.387634 + 0.921813i \(0.626708\pi\)
\(312\) 1.02655 + 1.48220i 0.0581169 + 0.0839132i
\(313\) 16.8397 + 6.12915i 0.951836 + 0.346440i 0.770829 0.637042i \(-0.219842\pi\)
0.181007 + 0.983482i \(0.442064\pi\)
\(314\) −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 0.992392 + 0.123116i \(0.0392886\pi\)
−0.890436 + 0.455109i \(0.849600\pi\)
\(318\) −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 0.977155 + 0.212529i \(0.0681701\pi\)
−0.845536 + 0.533919i \(0.820719\pi\)
\(332\) −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 0.947452 0.319898i \(-0.103649\pi\)
−0.150515 + 0.988608i \(0.548093\pi\)
\(338\) −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 −0.898980 0.437989i \(-0.855691\pi\)
0.994566 0.104106i \(-0.0331981\pi\)
\(348\) −1.77868 0.486396i −0.0953472 0.0260736i
\(349\) −9.49751 + 7.96936i −0.508390 + 0.426590i −0.860562 0.509345i \(-0.829888\pi\)
0.352172 + 0.935935i \(0.385443\pi\)
\(350\) −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 −0.221991 + 0.975049i \(0.571256\pi\)
−0.998784 + 0.0493035i \(0.984300\pi\)
\(354\) −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 0.798732 + 0.601687i \(0.205505\pi\)
0.121710 + 0.992566i \(0.461162\pi\)
\(360\) −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 −0.240293 0.970700i \(-0.577244\pi\)
−0.808030 + 0.589142i \(0.799466\pi\)
\(368\) 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 −0.259887 0.965639i \(-0.583685\pi\)
0.421616 + 0.906774i \(0.361463\pi\)
\(374\) 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 −0.722105 0.691783i \(-0.756825\pi\)
−0.108495 + 0.994097i \(0.534603\pi\)
\(384\) 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 0.639545 0.768754i \(-0.279123\pi\)
−0.00422549 + 0.999991i \(0.501345\pi\)
\(390\) −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 0.981998 + 0.188890i \(0.0604889\pi\)
−0.327416 + 0.944880i \(0.606178\pi\)
\(398\) −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 0.806615 + 0.591077i \(0.201297\pi\)
−0.960131 + 0.279552i \(0.909814\pi\)
\(402\) −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 0.886986 + 0.461796i \(0.152795\pi\)
−0.991438 + 0.130579i \(0.958317\pi\)
\(410\) 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 0.173815 0.984778i \(-0.444390\pi\)
−0.939635 + 0.342180i \(0.888835\pi\)
\(420\) 0.525999 1.11305i 0.0256661 0.0543114i
\(421\) 14.9735 + 5.44991i 0.729764 + 0.265612i 0.680065 0.733152i \(-0.261952\pi\)
0.0496991 + 0.998764i \(0.484174\pi\)
\(422\) 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 0.926222 + 0.376977i \(0.123037\pi\)
−0.741431 + 0.671030i \(0.765852\pi\)
\(440\) −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 0.435051 0.900406i \(-0.356730\pi\)
−0.245501 + 0.969396i \(0.578953\pi\)
\(444\) 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 −0.862582 0.505917i \(-0.831154\pi\)
0.869428 + 0.494060i \(0.164488\pi\)
\(450\) 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 0.128651 0.991690i \(-0.458935\pi\)
0.998964 + 0.0455088i \(0.0144909\pi\)
\(458\) −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 −0.162353 0.986733i \(-0.551908\pi\)
0.943550 + 0.331231i \(0.107464\pi\)
\(462\) 0.529451 + 0.144783i 0.0246323 + 0.00673593i
\(463\) −3.07505 + 17.4395i −0.142910 + 0.810482i 0.826112 + 0.563506i \(0.190548\pi\)
−0.969022 + 0.246976i \(0.920563\pi\)
\(464\) −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 0.984660 0.174485i \(-0.0558259\pi\)
−0.643438 + 0.765498i \(0.722493\pi\)
\(468\) 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 0.999501 + 0.0315727i \(0.0100516\pi\)
−0.928426 + 0.371518i \(0.878837\pi\)
\(480\) −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 0.728255 0.685307i \(-0.240332\pi\)
0.998382 + 0.0568622i \(0.0181096\pi\)
\(492\) 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 0.506200 0.862416i \(-0.331050\pi\)
−0.761414 + 0.648266i \(0.775494\pi\)
\(500\) 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 −0.950014 0.312208i \(-0.898931\pi\)
0.745387 + 0.666632i \(0.232265\pi\)
\(504\) −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 −0.504592 0.863358i \(-0.668357\pi\)
0.769447 0.638710i \(-0.220532\pi\)
\(510\) −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 0.955206 0.295942i \(-0.0956334\pi\)
−0.733896 + 0.679262i \(0.762300\pi\)
\(522\) −3.13949 0.586877i −0.137412 0.0256869i
\(523\) 17.9183 31.0354i 0.783511 1.35708i −0.146373 0.989229i \(-0.546760\pi\)
0.929884 0.367852i \(-0.119907\pi\)
\(524\) −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 −0.690027 0.723783i \(-0.742402\pi\)
0.400865 0.916137i \(-0.368710\pi\)
\(548\) 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 −0.0881449 0.996108i \(-0.528094\pi\)
0.906727 0.421718i \(-0.138573\pi\)
\(558\) −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 −0.994043 0.108987i \(-0.965239\pi\)
0.971371 + 0.237569i \(0.0763505\pi\)
\(564\) −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 0.0204950 0.999790i \(-0.493476\pi\)
0.988160 + 0.153428i \(0.0490313\pi\)
\(570\) 3.68239 3.64477i 0.154238 0.152663i
\(571\) −0.974927 + 5.52909i −0.0407994 + 0.231385i −0.998388 0.0567532i \(-0.981925\pi\)
0.957589 + 0.288138i \(0.0930363\pi\)
\(572\) −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 −0.908860 0.417102i \(-0.863046\pi\)
0.815650 + 0.578545i \(0.196379\pi\)
\(578\) 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 −0.678376 0.734715i \(-0.737316\pi\)
0.386178 0.922424i \(-0.373795\pi\)
\(588\) 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 −0.0438113 0.999040i \(-0.513950\pi\)
0.608609 + 0.793470i \(0.291728\pi\)
\(600\) 7.07263 3.25392i 0.288739 0.132841i
\(601\) 3.21107 + 18.2109i 0.130982 + 0.742837i 0.977574 + 0.210594i \(0.0675398\pi\)
−0.846591 + 0.532243i \(0.821349\pi\)
\(602\) 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 0.750316 0.661080i \(-0.229901\pi\)
−0.520745 + 0.853712i \(0.674346\pi\)
\(608\) −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 0.591202 0.806524i \(-0.298654\pi\)
−0.994071 + 0.108734i \(0.965320\pi\)
\(614\) −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 0.919146 + 0.393916i \(0.128880\pi\)
−0.998442 + 0.0557934i \(0.982231\pi\)
\(618\) −1.22144 4.65390i −0.0491334 0.187207i
\(619\) 16.8949 14.1765i 0.679063 0.569802i −0.236669 0.971590i \(-0.576056\pi\)
0.915732 + 0.401789i \(0.131611\pi\)
\(620\) −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 −0.860725 0.509071i \(-0.829989\pi\)
0.871231 + 0.490874i \(0.163322\pi\)
\(632\) 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 0.977787 + 0.209601i \(0.0672166\pi\)
−0.847131 + 0.531384i \(0.821672\pi\)
\(642\) −0.804073 + 8.67727i −0.0317342 + 0.342465i
\(643\) −28.0855 + 10.2223i −1.10759 + 0.403128i −0.830107 0.557604i \(-0.811721\pi\)
−0.277478 + 0.960732i \(0.589499\pi\)
\(644\) −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 −0.753706 0.657212i \(-0.771736\pi\)
−0.154925 + 0.987926i \(0.549513\pi\)
\(654\) −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 −0.170866 0.985294i \(-0.554657\pi\)
−0.764226 + 0.644949i \(0.776879\pi\)
\(660\) −0.222127 0.320722i −0.00864628 0.0124841i
\(661\) 32.2958 + 27.0994i 1.25616 + 1.05404i 0.996080 + 0.0884570i \(0.0281936\pi\)
0.260081 + 0.965587i \(0.416251\pi\)
\(662\) 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 −0.251620 0.967826i \(-0.580963\pi\)
0.909430 + 0.415858i \(0.136519\pi\)
\(674\) 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 0.0556736 0.998449i \(-0.482269\pi\)
0.992948 + 0.118551i \(0.0378249\pi\)
\(678\) −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 0.993124 + 0.117070i \(0.0373502\pi\)
−0.395176 + 0.918605i \(0.629316\pi\)
\(684\) −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 0.520872 0.853635i \(-0.325607\pi\)
−0.149695 + 0.988732i \(0.547829\pi\)
\(692\) −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 0.944287 + 0.329123i \(0.106753\pi\)
−0.774773 + 0.632240i \(0.782136\pi\)
\(710\) −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 −0.991832 0.127552i \(-0.959288\pi\)
0.606379 + 0.795176i \(0.292621\pi\)
\(720\) −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 −0.801895 0.597465i \(-0.796175\pi\)
0.449140 + 0.893461i \(0.351730\pi\)
\(728\) −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 −0.980074 0.198631i \(-0.936350\pi\)
0.988904 + 0.148553i \(0.0474616\pi\)
\(734\) −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 −0.999494 0.0318059i \(-0.989874\pi\)
0.527292 + 0.849684i \(0.323207\pi\)
\(740\) 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 0.998041 0.0625574i \(-0.0199257\pi\)
0.111701 + 0.993742i \(0.464370\pi\)
\(744\) −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 −0.259895 0.965637i \(-0.583688\pi\)
0.421608 + 0.906778i \(0.361466\pi\)
\(752\) −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 −0.962391 0.271670i \(-0.912424\pi\)
−0.562608 + 0.826724i \(0.690202\pi\)
\(762\) 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