Properties

Label 378.2.u.b.85.2
Level 378
Weight 2
Character 378.85
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 85.2
Root \(0.500000 + 1.27297i\)
Character \(\chi\) = 378.85
Dual form 378.2.u.b.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.71872 - 0.214444i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.701272 + 3.97711i) q^{5} +(-1.68842 - 0.386327i) q^{6} +(0.766044 - 0.642788i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.90803 - 0.737141i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.71872 - 0.214444i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.701272 + 3.97711i) q^{5} +(-1.68842 - 0.386327i) q^{6} +(0.766044 - 0.642788i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.90803 - 0.737141i) q^{9} +(2.01923 - 3.49741i) q^{10} +(-0.324801 - 1.84204i) q^{11} +(1.45446 + 0.940501i) q^{12} +(0.134587 - 0.0489857i) q^{13} +(-0.939693 + 0.342020i) q^{14} +(-0.352425 + 6.98595i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-2.90612 + 5.03355i) q^{17} +(-2.98477 - 0.301918i) q^{18} +(2.89839 + 5.02016i) q^{19} +(-3.09365 + 2.59588i) q^{20} +(1.17878 - 1.26905i) q^{21} +(-0.324801 + 1.84204i) q^{22} +(3.84135 + 3.22328i) q^{23} +(-1.04508 - 1.38124i) q^{24} +(-10.6272 - 3.86798i) q^{25} -0.143225 q^{26} +(4.84002 - 1.89055i) q^{27} +1.00000 q^{28} +(0.917198 + 0.333833i) q^{29} +(2.72051 - 6.44411i) q^{30} +(0.339014 + 0.284467i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-0.953258 - 3.09631i) q^{33} +(4.45244 - 3.73604i) q^{34} +(2.01923 + 3.49741i) q^{35} +(2.70150 + 1.30456i) q^{36} +(5.61042 - 9.71753i) q^{37} +(-1.00660 - 5.70871i) q^{38} +(0.220814 - 0.113054i) q^{39} +(3.79492 - 1.38124i) q^{40} +(-5.19951 + 1.89247i) q^{41} +(-1.54173 + 0.789350i) q^{42} +(-1.36463 - 7.73918i) q^{43} +(0.935228 - 1.61986i) q^{44} +(0.892373 + 12.0825i) q^{45} +(-2.50726 - 4.34271i) q^{46} +(0.648941 - 0.544526i) q^{47} +(0.509640 + 1.65538i) q^{48} +(0.173648 - 0.984808i) q^{49} +(8.66336 + 7.26942i) q^{50} +(-3.91541 + 9.27449i) q^{51} +(0.134587 + 0.0489857i) q^{52} +1.33744 q^{53} +(-5.19474 + 0.121152i) q^{54} +7.55377 q^{55} +(-0.939693 - 0.342020i) q^{56} +(6.05807 + 8.00672i) q^{57} +(-0.747706 - 0.627400i) q^{58} +(1.11071 - 6.29914i) q^{59} +(-4.76045 + 5.12501i) q^{60} +(-3.40242 + 2.85497i) q^{61} +(-0.221276 - 0.383261i) q^{62} +(1.75385 - 2.43393i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.100439 + 0.569621i) q^{65} +(-0.163229 + 3.23561i) q^{66} +(-10.4707 + 3.81104i) q^{67} +(-5.46173 + 1.98791i) q^{68} +(7.29344 + 4.71617i) q^{69} +(-0.701272 - 3.97711i) q^{70} +(8.19790 - 14.1992i) q^{71} +(-2.09240 - 2.14986i) q^{72} +(-2.37122 - 4.10707i) q^{73} +(-8.59566 + 7.21261i) q^{74} +(-19.0947 - 4.36905i) q^{75} +(-1.00660 + 5.70871i) q^{76} +(-1.43285 - 1.20231i) q^{77} +(-0.246164 + 0.0307137i) q^{78} +(13.0798 + 4.76064i) q^{79} -4.03847 q^{80} +(7.91325 - 4.28725i) q^{81} +5.53320 q^{82} +(-5.71616 - 2.08051i) q^{83} +(1.71872 - 0.214444i) q^{84} +(-17.9810 - 15.0879i) q^{85} +(-1.36463 + 7.73918i) q^{86} +(1.64800 + 0.377079i) q^{87} +(-1.43285 + 1.20231i) q^{88} +(-7.33655 - 12.7073i) q^{89} +(3.29390 - 11.6590i) q^{90} +(0.0716123 - 0.124036i) q^{91} +(0.870764 + 4.93835i) q^{92} +(0.643675 + 0.416220i) q^{93} +(-0.796044 + 0.289736i) q^{94} +(-21.9983 + 8.00672i) q^{95} +(0.0872671 - 1.72985i) q^{96} +(1.20884 + 6.85567i) q^{97} +(-0.500000 + 0.866025i) q^{98} +(-2.30237 - 5.11728i) 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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) 1.71872 0.214444i 0.992306 0.123809i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.701272 + 3.97711i −0.313619 + 1.77862i 0.266245 + 0.963905i \(0.414217\pi\)
−0.579863 + 0.814714i \(0.696894\pi\)
\(6\) −1.68842 0.386327i −0.689293 0.157717i
\(7\) 0.766044 0.642788i 0.289538 0.242951i
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 2.90803 0.737141i 0.969342 0.245714i
\(10\) 2.01923 3.49741i 0.638538 1.10598i
\(11\) −0.324801 1.84204i −0.0979313 0.555396i −0.993810 0.111096i \(-0.964564\pi\)
0.895878 0.444299i \(-0.146547\pi\)
\(12\) 1.45446 + 0.940501i 0.419867 + 0.271499i
\(13\) 0.134587 0.0489857i 0.0373278 0.0135862i −0.323289 0.946300i \(-0.604789\pi\)
0.360617 + 0.932714i \(0.382566\pi\)
\(14\) −0.939693 + 0.342020i −0.251143 + 0.0914087i
\(15\) −0.352425 + 6.98595i −0.0909959 + 1.80376i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −2.90612 + 5.03355i −0.704838 + 1.22082i 0.261911 + 0.965092i \(0.415647\pi\)
−0.966750 + 0.255724i \(0.917686\pi\)
\(18\) −2.98477 0.301918i −0.703517 0.0711628i
\(19\) 2.89839 + 5.02016i 0.664936 + 1.15170i 0.979303 + 0.202401i \(0.0648744\pi\)
−0.314367 + 0.949302i \(0.601792\pi\)
\(20\) −3.09365 + 2.59588i −0.691760 + 0.580456i
\(21\) 1.17878 1.26905i 0.257230 0.276929i
\(22\) −0.324801 + 1.84204i −0.0692479 + 0.392724i
\(23\) 3.84135 + 3.22328i 0.800977 + 0.672100i 0.948436 0.316969i \(-0.102665\pi\)
−0.147459 + 0.989068i \(0.547109\pi\)
\(24\) −1.04508 1.38124i −0.213325 0.281944i
\(25\) −10.6272 3.86798i −2.12544 0.773596i
\(26\) −0.143225 −0.0280887
\(27\) 4.84002 1.89055i 0.931463 0.363837i
\(28\) 1.00000 0.188982
\(29\) 0.917198 + 0.333833i 0.170319 + 0.0619912i 0.425772 0.904830i \(-0.360002\pi\)
−0.255453 + 0.966821i \(0.582225\pi\)
\(30\) 2.72051 6.44411i 0.496694 1.17653i
\(31\) 0.339014 + 0.284467i 0.0608888 + 0.0510918i 0.672724 0.739893i \(-0.265124\pi\)
−0.611835 + 0.790985i \(0.709569\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −0.953258 3.09631i −0.165941 0.538998i
\(34\) 4.45244 3.73604i 0.763587 0.640726i
\(35\) 2.01923 + 3.49741i 0.341313 + 0.591171i
\(36\) 2.70150 + 1.30456i 0.450251 + 0.217427i
\(37\) 5.61042 9.71753i 0.922347 1.59755i 0.126573 0.991957i \(-0.459602\pi\)
0.795774 0.605594i \(-0.207065\pi\)
\(38\) −1.00660 5.70871i −0.163292 0.926075i
\(39\) 0.220814 0.113054i 0.0353585 0.0181032i
\(40\) 3.79492 1.38124i 0.600029 0.218393i
\(41\) −5.19951 + 1.89247i −0.812027 + 0.295554i −0.714461 0.699676i \(-0.753328\pi\)
−0.0975659 + 0.995229i \(0.531106\pi\)
\(42\) −1.54173 + 0.789350i −0.237894 + 0.121799i
\(43\) −1.36463 7.73918i −0.208103 1.18021i −0.892481 0.451085i \(-0.851037\pi\)
0.684377 0.729128i \(-0.260074\pi\)
\(44\) 0.935228 1.61986i 0.140991 0.244203i
\(45\) 0.892373 + 12.0825i 0.133027 + 1.80115i
\(46\) −2.50726 4.34271i −0.369676 0.640297i
\(47\) 0.648941 0.544526i 0.0946578 0.0794273i −0.594231 0.804295i \(-0.702543\pi\)
0.688889 + 0.724867i \(0.258099\pi\)
\(48\) 0.509640 + 1.65538i 0.0735601 + 0.238933i
\(49\) 0.173648 0.984808i 0.0248069 0.140687i
\(50\) 8.66336 + 7.26942i 1.22518 + 1.02805i
\(51\) −3.91541 + 9.27449i −0.548267 + 1.29869i
\(52\) 0.134587 + 0.0489857i 0.0186639 + 0.00679310i
\(53\) 1.33744 0.183712 0.0918559 0.995772i \(-0.470720\pi\)
0.0918559 + 0.995772i \(0.470720\pi\)
\(54\) −5.19474 + 0.121152i −0.706915 + 0.0164867i
\(55\) 7.55377 1.01855
\(56\) −0.939693 0.342020i −0.125572 0.0457044i
\(57\) 6.05807 + 8.00672i 0.802411 + 1.06052i
\(58\) −0.747706 0.627400i −0.0981786 0.0823817i
\(59\) 1.11071 6.29914i 0.144602 0.820078i −0.823084 0.567919i \(-0.807749\pi\)
0.967686 0.252158i \(-0.0811404\pi\)
\(60\) −4.76045 + 5.12501i −0.614572 + 0.661636i
\(61\) −3.40242 + 2.85497i −0.435635 + 0.365542i −0.834073 0.551654i \(-0.813997\pi\)
0.398438 + 0.917195i \(0.369553\pi\)
\(62\) −0.221276 0.383261i −0.0281021 0.0486742i
\(63\) 1.75385 2.43393i 0.220965 0.306646i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.100439 + 0.569621i 0.0124580 + 0.0706527i
\(66\) −0.163229 + 3.23561i −0.0200921 + 0.398276i
\(67\) −10.4707 + 3.81104i −1.27920 + 0.465592i −0.890169 0.455630i \(-0.849414\pi\)
−0.389036 + 0.921223i \(0.627192\pi\)
\(68\) −5.46173 + 1.98791i −0.662331 + 0.241069i
\(69\) 7.29344 + 4.71617i 0.878027 + 0.567760i
\(70\) −0.701272 3.97711i −0.0838181 0.475356i
\(71\) 8.19790 14.1992i 0.972912 1.68513i 0.286252 0.958154i \(-0.407591\pi\)
0.686660 0.726978i \(-0.259076\pi\)
\(72\) −2.09240 2.14986i −0.246591 0.253363i
\(73\) −2.37122 4.10707i −0.277530 0.480696i 0.693240 0.720706i \(-0.256182\pi\)
−0.970770 + 0.240011i \(0.922849\pi\)
\(74\) −8.59566 + 7.21261i −0.999225 + 0.838449i
\(75\) −19.0947 4.36905i −2.20486 0.504495i
\(76\) −1.00660 + 5.70871i −0.115465 + 0.654834i
\(77\) −1.43285 1.20231i −0.163289 0.137015i
\(78\) −0.246164 + 0.0307137i −0.0278726 + 0.00347764i
\(79\) 13.0798 + 4.76064i 1.47159 + 0.535614i 0.948531 0.316684i \(-0.102570\pi\)
0.523056 + 0.852298i \(0.324792\pi\)
\(80\) −4.03847 −0.451514
\(81\) 7.91325 4.28725i 0.879250 0.476361i
\(82\) 5.53320 0.611040
\(83\) −5.71616 2.08051i −0.627430 0.228366i 0.00868210 0.999962i \(-0.497236\pi\)
−0.636113 + 0.771596i \(0.719459\pi\)
\(84\) 1.71872 0.214444i 0.187528 0.0233978i
\(85\) −17.9810 15.0879i −1.95032 1.63651i
\(86\) −1.36463 + 7.73918i −0.147151 + 0.834537i
\(87\) 1.64800 + 0.377079i 0.176684 + 0.0404271i
\(88\) −1.43285 + 1.20231i −0.152743 + 0.128166i
\(89\) −7.33655 12.7073i −0.777672 1.34697i −0.933280 0.359149i \(-0.883067\pi\)
0.155608 0.987819i \(-0.450266\pi\)
\(90\) 3.29390 11.6590i 0.347207 1.22897i
\(91\) 0.0716123 0.124036i 0.00750701 0.0130025i
\(92\) 0.870764 + 4.93835i 0.0907834 + 0.514858i
\(93\) 0.643675 + 0.416220i 0.0667459 + 0.0431601i
\(94\) −0.796044 + 0.289736i −0.0821057 + 0.0298840i
\(95\) −21.9983 + 8.00672i −2.25698 + 0.821472i
\(96\) 0.0872671 1.72985i 0.00890667 0.176552i
\(97\) 1.20884 + 6.85567i 0.122739 + 0.696087i 0.982625 + 0.185601i \(0.0594233\pi\)
−0.859886 + 0.510486i \(0.829466\pi\)
\(98\) −0.500000 + 0.866025i −0.0505076 + 0.0874818i
\(99\) −2.30237 5.11728i −0.231397 0.514306i
\(100\) −5.65461 9.79407i −0.565461 0.979407i
\(101\) 3.99434 3.35165i 0.397452 0.333501i −0.422056 0.906570i \(-0.638691\pi\)
0.819508 + 0.573068i \(0.194247\pi\)
\(102\) 6.85134 7.37602i 0.678384 0.730335i
\(103\) 0.871428 4.94211i 0.0858644 0.486961i −0.911302 0.411738i \(-0.864922\pi\)
0.997167 0.0752232i \(-0.0239669\pi\)
\(104\) −0.109716 0.0920630i −0.0107586 0.00902752i
\(105\) 4.22051 + 5.57808i 0.411879 + 0.544365i
\(106\) −1.25678 0.457432i −0.122070 0.0444297i
\(107\) −14.2271 −1.37538 −0.687690 0.726004i \(-0.741375\pi\)
−0.687690 + 0.726004i \(0.741375\pi\)
\(108\) 4.92290 + 1.66286i 0.473706 + 0.160009i
\(109\) 1.65651 0.158665 0.0793324 0.996848i \(-0.474721\pi\)
0.0793324 + 0.996848i \(0.474721\pi\)
\(110\) −7.09823 2.58354i −0.676789 0.246331i
\(111\) 7.55889 17.9049i 0.717458 1.69946i
\(112\) 0.766044 + 0.642788i 0.0723844 + 0.0607377i
\(113\) 2.26304 12.8343i 0.212889 1.20735i −0.671644 0.740874i \(-0.734411\pi\)
0.884533 0.466478i \(-0.154477\pi\)
\(114\) −2.95427 9.59584i −0.276692 0.898733i
\(115\) −15.5132 + 13.0171i −1.44661 + 1.21385i
\(116\) 0.488031 + 0.845294i 0.0453125 + 0.0784836i
\(117\) 0.355274 0.241661i 0.0328451 0.0223416i
\(118\) −3.19816 + 5.53937i −0.294414 + 0.509940i
\(119\) 1.00929 + 5.72395i 0.0925211 + 0.524713i
\(120\) 6.22622 3.18776i 0.568373 0.291002i
\(121\) 7.04901 2.56563i 0.640819 0.233239i
\(122\) 4.17369 1.51910i 0.377868 0.137533i
\(123\) −8.53069 + 4.36763i −0.769187 + 0.393816i
\(124\) 0.0768483 + 0.435828i 0.00690118 + 0.0391386i
\(125\) 12.7398 22.0659i 1.13948 1.97364i
\(126\) −2.48053 + 1.68729i −0.220984 + 0.150316i
\(127\) 8.54778 + 14.8052i 0.758492 + 1.31375i 0.943619 + 0.331033i \(0.107397\pi\)
−0.185127 + 0.982715i \(0.559270\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) −4.00504 13.0089i −0.352624 1.14537i
\(130\) 0.100439 0.569621i 0.00880913 0.0499590i
\(131\) 1.67327 + 1.40404i 0.146194 + 0.122671i 0.712952 0.701213i \(-0.247358\pi\)
−0.566757 + 0.823885i \(0.691802\pi\)
\(132\) 1.26003 2.98465i 0.109671 0.259781i
\(133\) 5.44719 + 1.98261i 0.472331 + 0.171914i
\(134\) 11.1427 0.962585
\(135\) 4.12476 + 20.5751i 0.355003 + 1.77082i
\(136\) 5.81225 0.498396
\(137\) 5.13665 + 1.86959i 0.438854 + 0.159730i 0.551992 0.833850i \(-0.313868\pi\)
−0.113138 + 0.993579i \(0.536090\pi\)
\(138\) −5.24056 6.92625i −0.446106 0.589602i
\(139\) −0.950055 0.797190i −0.0805826 0.0676168i 0.601607 0.798793i \(-0.294528\pi\)
−0.682189 + 0.731176i \(0.738972\pi\)
\(140\) −0.701272 + 3.97711i −0.0592683 + 0.336127i
\(141\) 0.998581 1.07505i 0.0840957 0.0905357i
\(142\) −12.5599 + 10.5390i −1.05400 + 0.884415i
\(143\) −0.133948 0.232004i −0.0112013 0.0194012i
\(144\) 1.23092 + 2.73584i 0.102576 + 0.227987i
\(145\) −1.97090 + 3.41369i −0.163674 + 0.283492i
\(146\) 0.823515 + 4.67038i 0.0681546 + 0.386524i
\(147\) 0.0872671 1.72985i 0.00719767 0.142676i
\(148\) 10.5441 3.83775i 0.866723 0.315461i
\(149\) −10.0097 + 3.64323i −0.820026 + 0.298465i −0.717759 0.696292i \(-0.754832\pi\)
−0.102267 + 0.994757i \(0.532610\pi\)
\(150\) 16.4488 + 10.6363i 1.34304 + 0.868453i
\(151\) 0.698196 + 3.95966i 0.0568184 + 0.322233i 0.999948 0.0101921i \(-0.00324429\pi\)
−0.943130 + 0.332425i \(0.892133\pi\)
\(152\) 2.89839 5.02016i 0.235090 0.407188i
\(153\) −4.74065 + 16.7799i −0.383259 + 1.35658i
\(154\) 0.935228 + 1.61986i 0.0753628 + 0.130532i
\(155\) −1.36910 + 1.14881i −0.109969 + 0.0922746i
\(156\) 0.241823 + 0.0553315i 0.0193613 + 0.00443007i
\(157\) 3.04833 17.2879i 0.243283 1.37973i −0.581163 0.813787i \(-0.697402\pi\)
0.824446 0.565941i \(-0.191487\pi\)
\(158\) −10.6627 8.94708i −0.848280 0.711791i
\(159\) 2.29869 0.286807i 0.182298 0.0227452i
\(160\) 3.79492 + 1.38124i 0.300015 + 0.109196i
\(161\) 5.01453 0.395200
\(162\) −8.90235 + 1.32221i −0.699434 + 0.103882i
\(163\) −19.5981 −1.53504 −0.767520 0.641025i \(-0.778510\pi\)
−0.767520 + 0.641025i \(0.778510\pi\)
\(164\) −5.19951 1.89247i −0.406013 0.147777i
\(165\) 12.9829 1.61986i 1.01071 0.126106i
\(166\) 4.65986 + 3.91009i 0.361675 + 0.303482i
\(167\) −1.89828 + 10.7657i −0.146893 + 0.833072i 0.818935 + 0.573887i \(0.194565\pi\)
−0.965828 + 0.259185i \(0.916546\pi\)
\(168\) −1.68842 0.386327i −0.130264 0.0298058i
\(169\) −9.94286 + 8.34305i −0.764836 + 0.641773i
\(170\) 11.7363 + 20.3278i 0.900132 + 1.55907i
\(171\) 12.1292 + 12.4622i 0.927539 + 0.953010i
\(172\) 3.92928 6.80572i 0.299605 0.518931i
\(173\) −0.350017 1.98504i −0.0266113 0.150920i 0.968607 0.248598i \(-0.0799697\pi\)
−0.995218 + 0.0976776i \(0.968859\pi\)
\(174\) −1.41964 0.917987i −0.107623 0.0695924i
\(175\) −10.6272 + 3.86798i −0.803340 + 0.292392i
\(176\) 1.75765 0.639734i 0.132488 0.0482217i
\(177\) 0.558188 11.0647i 0.0419560 0.831671i
\(178\) 2.54796 + 14.4502i 0.190977 + 1.08309i
\(179\) 5.26387 9.11729i 0.393440 0.681458i −0.599461 0.800404i \(-0.704618\pi\)
0.992901 + 0.118946i \(0.0379515\pi\)
\(180\) −7.08288 + 9.82933i −0.527927 + 0.732635i
\(181\) 13.3805 + 23.1756i 0.994562 + 1.72263i 0.587476 + 0.809241i \(0.300122\pi\)
0.407085 + 0.913390i \(0.366545\pi\)
\(182\) −0.109716 + 0.0920630i −0.00813272 + 0.00682417i
\(183\) −5.23559 + 5.63654i −0.387026 + 0.416665i
\(184\) 0.870764 4.93835i 0.0641935 0.364060i
\(185\) 34.7133 + 29.1279i 2.55217 + 2.14153i
\(186\) −0.462500 0.611269i −0.0339122 0.0448204i
\(187\) 10.2159 + 3.71829i 0.747062 + 0.271908i
\(188\) 0.847133 0.0617835
\(189\) 2.49245 4.55935i 0.181299 0.331644i
\(190\) 23.4101 1.69835
\(191\) 0.349848 + 0.127334i 0.0253141 + 0.00921358i 0.354646 0.935001i \(-0.384601\pi\)
−0.329332 + 0.944214i \(0.606824\pi\)
\(192\) −0.673648 + 1.59568i −0.0486164 + 0.115158i
\(193\) −20.4027 17.1199i −1.46862 1.23232i −0.917407 0.397950i \(-0.869722\pi\)
−0.551210 0.834366i \(-0.685834\pi\)
\(194\) 1.20884 6.85567i 0.0867896 0.492208i
\(195\) 0.294780 + 0.957482i 0.0211096 + 0.0685667i
\(196\) 0.766044 0.642788i 0.0547175 0.0459134i
\(197\) −3.00912 5.21195i −0.214391 0.371336i 0.738693 0.674042i \(-0.235443\pi\)
−0.953084 + 0.302706i \(0.902110\pi\)
\(198\) 0.413311 + 5.59613i 0.0293727 + 0.397699i
\(199\) 3.78279 6.55198i 0.268155 0.464458i −0.700231 0.713917i \(-0.746919\pi\)
0.968385 + 0.249459i \(0.0802528\pi\)
\(200\) 1.96382 + 11.1374i 0.138863 + 0.787533i
\(201\) −17.1791 + 8.79551i −1.21172 + 0.620388i
\(202\) −4.89978 + 1.78337i −0.344747 + 0.125478i
\(203\) 0.917198 0.333833i 0.0643746 0.0234305i
\(204\) −8.96091 + 4.58790i −0.627389 + 0.321217i
\(205\) −3.88028 22.0062i −0.271011 1.53698i
\(206\) −2.50918 + 4.34602i −0.174823 + 0.302802i
\(207\) 13.5468 + 6.54176i 0.941565 + 0.454684i
\(208\) 0.0716123 + 0.124036i 0.00496542 + 0.00860036i
\(209\) 8.30592 6.96950i 0.574533 0.482090i
\(210\) −2.05816 6.68518i −0.142027 0.461321i
\(211\) −3.25946 + 18.4853i −0.224390 + 1.27258i 0.639457 + 0.768827i \(0.279159\pi\)
−0.863847 + 0.503754i \(0.831952\pi\)
\(212\) 1.02454 + 0.859691i 0.0703657 + 0.0590438i
\(213\) 11.0450 26.1625i 0.756791 1.79262i
\(214\) 13.3691 + 4.86594i 0.913890 + 0.332629i
\(215\) 31.7366 2.16442
\(216\) −4.05728 3.24631i −0.276063 0.220883i
\(217\) 0.442552 0.0300424
\(218\) −1.55661 0.566560i −0.105427 0.0383723i
\(219\) −4.95620 6.55042i −0.334909 0.442637i
\(220\) 5.78653 + 4.85547i 0.390128 + 0.327356i
\(221\) −0.144555 + 0.819810i −0.00972380 + 0.0551464i
\(222\) −13.2269 + 14.2398i −0.887729 + 0.955712i
\(223\) 2.99149 2.51016i 0.200325 0.168093i −0.537107 0.843514i \(-0.680483\pi\)
0.737432 + 0.675422i \(0.236038\pi\)
\(224\) −0.500000 0.866025i −0.0334077 0.0578638i
\(225\) −33.7554 3.41446i −2.25036 0.227631i
\(226\) −6.51616 + 11.2863i −0.433449 + 0.750755i
\(227\) −2.37421 13.4648i −0.157582 0.893690i −0.956387 0.292101i \(-0.905646\pi\)
0.798806 0.601589i \(-0.205465\pi\)
\(228\) −0.505868 + 10.0276i −0.0335019 + 0.664091i
\(229\) −4.27135 + 1.55464i −0.282259 + 0.102734i −0.479270 0.877667i \(-0.659099\pi\)
0.197012 + 0.980401i \(0.436876\pi\)
\(230\) 19.0297 6.92625i 1.25478 0.456703i
\(231\) −2.72051 1.75917i −0.178996 0.115745i
\(232\) −0.169491 0.961233i −0.0111276 0.0631080i
\(233\) 13.5384 23.4492i 0.886931 1.53621i 0.0434464 0.999056i \(-0.486166\pi\)
0.843484 0.537154i \(-0.180500\pi\)
\(234\) −0.416501 + 0.105577i −0.0272275 + 0.00690177i
\(235\) 1.71056 + 2.96277i 0.111585 + 0.193270i
\(236\) 4.89986 4.11147i 0.318954 0.267634i
\(237\) 23.5014 + 5.37735i 1.52658 + 0.349297i
\(238\) 1.00929 5.72395i 0.0654223 0.371028i
\(239\) 1.40909 + 1.18237i 0.0911467 + 0.0764812i 0.687222 0.726447i \(-0.258830\pi\)
−0.596076 + 0.802928i \(0.703274\pi\)
\(240\) −6.94101 + 0.866025i −0.448040 + 0.0559017i
\(241\) 13.9391 + 5.07340i 0.897893 + 0.326806i 0.749408 0.662108i \(-0.230338\pi\)
0.148485 + 0.988915i \(0.452560\pi\)
\(242\) −7.50139 −0.482208
\(243\) 12.6813 9.06555i 0.813507 0.581555i
\(244\) −4.44155 −0.284341
\(245\) 3.79492 + 1.38124i 0.242448 + 0.0882440i
\(246\) 9.51005 1.18656i 0.606338 0.0756524i
\(247\) 0.636002 + 0.533669i 0.0404678 + 0.0339565i
\(248\) 0.0768483 0.435828i 0.00487987 0.0276751i
\(249\) −10.2707 2.35003i −0.650877 0.148927i
\(250\) −19.5185 + 16.3779i −1.23446 + 1.03583i
\(251\) 8.95502 + 15.5106i 0.565236 + 0.979018i 0.997028 + 0.0770443i \(0.0245483\pi\)
−0.431792 + 0.901973i \(0.642118\pi\)
\(252\) 2.90803 0.737141i 0.183189 0.0464355i
\(253\) 4.68973 8.12284i 0.294841 0.510679i
\(254\) −2.96861 16.8358i −0.186267 1.05637i
\(255\) −34.1399 22.0760i −2.13793 1.38245i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 26.9143 9.79601i 1.67887 0.611058i 0.685715 0.727870i \(-0.259490\pi\)
0.993154 + 0.116812i \(0.0372675\pi\)
\(258\) −0.685795 + 13.5941i −0.0426957 + 0.846335i
\(259\) −1.94848 11.0504i −0.121072 0.686636i
\(260\) −0.289204 + 0.500916i −0.0179357 + 0.0310655i
\(261\) 2.91332 + 0.294691i 0.180330 + 0.0182409i
\(262\) −1.09215 1.89166i −0.0674732 0.116867i
\(263\) −19.2683 + 16.1680i −1.18813 + 0.996961i −0.188242 + 0.982123i \(0.560279\pi\)
−0.999890 + 0.0148386i \(0.995277\pi\)
\(264\) −2.20485 + 2.37370i −0.135699 + 0.146091i
\(265\) −0.937911 + 5.31916i −0.0576154 + 0.326753i
\(266\) −4.44059 3.72610i −0.272270 0.228462i
\(267\) −15.3345 20.2670i −0.938456 1.24032i
\(268\) −10.4707 3.81104i −0.639602 0.232796i
\(269\) −18.8481 −1.14919 −0.574595 0.818438i \(-0.694840\pi\)
−0.574595 + 0.818438i \(0.694840\pi\)
\(270\) 3.16109 20.7450i 0.192378 1.26250i
\(271\) −8.29592 −0.503941 −0.251971 0.967735i \(-0.581079\pi\)
−0.251971 + 0.967735i \(0.581079\pi\)
\(272\) −5.46173 1.98791i −0.331166 0.120534i
\(273\) 0.0964830 0.228541i 0.00583942 0.0138319i
\(274\) −4.18744 3.51368i −0.252972 0.212269i
\(275\) −3.67325 + 20.8320i −0.221505 + 1.25622i
\(276\) 2.55560 + 8.30093i 0.153829 + 0.499657i
\(277\) −12.7031 + 10.6592i −0.763255 + 0.640447i −0.938972 0.343994i \(-0.888220\pi\)
0.175717 + 0.984441i \(0.443776\pi\)
\(278\) 0.620104 + 1.07405i 0.0371914 + 0.0644173i
\(279\) 1.19556 + 0.577336i 0.0715760 + 0.0345642i
\(280\) 2.01923 3.49741i 0.120672 0.209011i
\(281\) 5.17006 + 29.3209i 0.308420 + 1.74914i 0.606954 + 0.794737i \(0.292391\pi\)
−0.298534 + 0.954399i \(0.596498\pi\)
\(282\) −1.30605 + 0.668684i −0.0777741 + 0.0398196i
\(283\) 15.4418 5.62035i 0.917919 0.334095i 0.160509 0.987034i \(-0.448687\pi\)
0.757410 + 0.652939i \(0.226464\pi\)
\(284\) 15.4070 5.60770i 0.914238 0.332755i
\(285\) −36.0920 + 18.4787i −2.13791 + 1.09459i
\(286\) 0.0465195 + 0.263825i 0.00275076 + 0.0156003i
\(287\) −2.76660 + 4.79189i −0.163307 + 0.282856i
\(288\) −0.220968 2.99185i −0.0130207 0.176297i
\(289\) −8.39111 14.5338i −0.493594 0.854931i
\(290\) 3.01959 2.53373i 0.177316 0.148786i
\(291\) 3.54782 + 11.5238i 0.207977 + 0.675535i
\(292\) 0.823515 4.67038i 0.0481926 0.273314i
\(293\) −9.29473 7.79920i −0.543004 0.455634i 0.329560 0.944135i \(-0.393100\pi\)
−0.872564 + 0.488500i \(0.837544\pi\)
\(294\) −0.673648 + 1.59568i −0.0392880 + 0.0930620i
\(295\) 24.2735 + 8.83482i 1.41326 + 0.514383i
\(296\) −11.2208 −0.652198
\(297\) −5.05451 8.30146i −0.293293 0.481700i
\(298\) 10.6521 0.617059
\(299\) 0.674891 + 0.245640i 0.0390300 + 0.0142057i
\(300\) −11.8190 15.6207i −0.682370 0.901862i
\(301\) −6.02001 5.05139i −0.346988 0.291157i
\(302\) 0.698196 3.95966i 0.0401766 0.227853i
\(303\) 6.14643 6.61712i 0.353103 0.380144i
\(304\) −4.44059 + 3.72610i −0.254685 + 0.213706i
\(305\) −8.96852 15.5339i −0.513536 0.889470i
\(306\) 10.1938 14.1466i 0.582742 0.808706i
\(307\) −11.6331 + 20.1491i −0.663935 + 1.14997i 0.315637 + 0.948880i \(0.397782\pi\)
−0.979573 + 0.201090i \(0.935552\pi\)
\(308\) −0.324801 1.84204i −0.0185073 0.104960i
\(309\) 0.437937 8.68101i 0.0249134 0.493845i
\(310\) 1.67945 0.611269i 0.0953862 0.0347177i
\(311\) −1.26459 + 0.460273i −0.0717083 + 0.0260997i −0.377625 0.925959i \(-0.623259\pi\)
0.305917 + 0.952058i \(0.401037\pi\)
\(312\) −0.208315 0.134703i −0.0117935 0.00762605i
\(313\) 3.31953 + 18.8260i 0.187631 + 1.06411i 0.922528 + 0.385930i \(0.126119\pi\)
−0.734897 + 0.678179i \(0.762770\pi\)
\(314\) −8.77732 + 15.2028i −0.495333 + 0.857942i
\(315\) 8.45007 + 8.68212i 0.476108 + 0.489182i
\(316\) 6.95959 + 12.0544i 0.391508 + 0.678111i
\(317\) −8.44115 + 7.08296i −0.474102 + 0.397819i −0.848288 0.529535i \(-0.822367\pi\)
0.374186 + 0.927354i \(0.377922\pi\)
\(318\) −2.25816 0.516690i −0.126631 0.0289745i
\(319\) 0.317026 1.79794i 0.0177500 0.100665i
\(320\) −3.09365 2.59588i −0.172940 0.145114i
\(321\) −24.4524 + 3.05091i −1.36480 + 0.170285i
\(322\) −4.71211 1.71507i −0.262596 0.0955771i
\(323\) −33.6923 −1.87469
\(324\) 8.81769 + 1.80231i 0.489872 + 0.100128i
\(325\) −1.61976 −0.0898480
\(326\) 18.4162 + 6.70294i 1.01998 + 0.371242i
\(327\) 2.84708 0.355229i 0.157444 0.0196442i
\(328\) 4.23868 + 3.55667i 0.234042 + 0.196384i
\(329\) 0.147103 0.834263i 0.00811005 0.0459944i
\(330\) −12.7539 2.91823i −0.702080 0.160643i
\(331\) 7.80619 6.55017i 0.429067 0.360030i −0.402533 0.915406i \(-0.631870\pi\)
0.831600 + 0.555376i \(0.187426\pi\)
\(332\) −3.04151 5.26804i −0.166924 0.289121i
\(333\) 9.15206 32.3945i 0.501530 1.77521i
\(334\) 5.46587 9.46716i 0.299079 0.518020i
\(335\) −7.81409 44.3159i −0.426929 2.42124i
\(336\) 1.45446 + 0.940501i 0.0793474 + 0.0513085i
\(337\) −8.83173 + 3.21449i −0.481095 + 0.175104i −0.571172 0.820830i \(-0.693511\pi\)
0.0900766 + 0.995935i \(0.471289\pi\)
\(338\) 12.1967 4.43925i 0.663415 0.241463i
\(339\) 1.13729 22.5440i 0.0617693 1.22442i
\(340\) −4.07597 23.1160i −0.221050 1.25364i
\(341\) 0.413887 0.716873i 0.0224132 0.0388209i
\(342\) −7.13534 15.8591i −0.385835 0.857561i
\(343\) −0.500000 0.866025i −0.0269975 0.0467610i
\(344\) −6.02001 + 5.05139i −0.324577 + 0.272353i
\(345\) −23.8714 + 25.6995i −1.28519 + 1.38361i
\(346\) −0.350017 + 1.98504i −0.0188170 + 0.106717i
\(347\) −6.28929 5.27734i −0.337627 0.283302i 0.458172 0.888863i \(-0.348504\pi\)
−0.795799 + 0.605561i \(0.792949\pi\)
\(348\) 1.02006 + 1.34817i 0.0546809 + 0.0722696i
\(349\) 14.4931 + 5.27506i 0.775798 + 0.282368i 0.699420 0.714711i \(-0.253442\pi\)
0.0763789 + 0.997079i \(0.475664\pi\)
\(350\) 11.3092 0.604503
\(351\) 0.558795 0.491536i 0.0298263 0.0262362i
\(352\) −1.87046 −0.0996956
\(353\) −11.7876 4.29033i −0.627390 0.228351i 0.00870476 0.999962i \(-0.497229\pi\)
−0.636095 + 0.771611i \(0.719451\pi\)
\(354\) −4.30886 + 10.2065i −0.229013 + 0.542468i
\(355\) 50.7228 + 42.5615i 2.69209 + 2.25893i
\(356\) 2.54796 14.4502i 0.135041 0.765858i
\(357\) 2.96215 + 9.62145i 0.156774 + 0.509221i
\(358\) −8.06472 + 6.76710i −0.426234 + 0.357652i
\(359\) 13.2218 + 22.9009i 0.697821 + 1.20866i 0.969221 + 0.246194i \(0.0791801\pi\)
−0.271400 + 0.962467i \(0.587487\pi\)
\(360\) 10.0176 6.81406i 0.527972 0.359133i
\(361\) −7.30130 + 12.6462i −0.384279 + 0.665591i
\(362\) −4.64698 26.3544i −0.244240 1.38515i
\(363\) 11.5651 5.92123i 0.607011 0.310784i
\(364\) 0.134587 0.0489857i 0.00705428 0.00256755i
\(365\) 17.9971 6.55042i 0.942013 0.342865i
\(366\) 6.84766 3.50593i 0.357933 0.183258i
\(367\) −1.86052 10.5515i −0.0971182 0.550785i −0.994078 0.108672i \(-0.965340\pi\)
0.896959 0.442113i \(-0.145771\pi\)
\(368\) −2.50726 + 4.34271i −0.130700 + 0.226379i
\(369\) −13.7253 + 9.33611i −0.714510 + 0.486019i
\(370\) −22.6575 39.2439i −1.17791 2.04019i
\(371\) 1.02454 0.859691i 0.0531915 0.0446329i
\(372\) 0.225542 + 0.732589i 0.0116938 + 0.0379830i
\(373\) −1.98986 + 11.2851i −0.103031 + 0.584319i 0.888957 + 0.457990i \(0.151431\pi\)
−0.991988 + 0.126329i \(0.959681\pi\)
\(374\) −8.32809 6.98810i −0.430635 0.361346i
\(375\) 17.1643 40.6572i 0.886358 2.09953i
\(376\) −0.796044 0.289736i −0.0410528 0.0149420i
\(377\) 0.139796 0.00719986
\(378\) −3.90153 + 3.43192i −0.200673 + 0.176519i
\(379\) 25.7730 1.32387 0.661936 0.749560i \(-0.269735\pi\)
0.661936 + 0.749560i \(0.269735\pi\)
\(380\) −21.9983 8.00672i −1.12849 0.410736i
\(381\) 17.8662 + 23.6130i 0.915311 + 1.20973i
\(382\) −0.285199 0.239310i −0.0145920 0.0122442i
\(383\) −0.142628 + 0.808881i −0.00728793 + 0.0413319i −0.988235 0.152944i \(-0.951125\pi\)
0.980947 + 0.194276i \(0.0622357\pi\)
\(384\) 1.17878 1.26905i 0.0601542 0.0647609i
\(385\) 5.78653 4.85547i 0.294909 0.247458i
\(386\) 13.3169 + 23.0656i 0.677813 + 1.17401i
\(387\) −9.67323 21.4998i −0.491718 1.09290i
\(388\) −3.48071 + 6.02877i −0.176706 + 0.306064i
\(389\) 2.03448 + 11.5381i 0.103152 + 0.585004i 0.991942 + 0.126690i \(0.0404354\pi\)
−0.888790 + 0.458314i \(0.848453\pi\)
\(390\) 0.0504760 1.00056i 0.00255595 0.0506653i
\(391\) −27.3880 + 9.96841i −1.38507 + 0.504124i
\(392\) −0.939693 + 0.342020i −0.0474616 + 0.0172746i
\(393\) 3.17698 + 2.05433i 0.160257 + 0.103627i
\(394\) 1.04506 + 5.92681i 0.0526492 + 0.298589i
\(395\) −28.1061 + 48.6811i −1.41417 + 2.44941i
\(396\) 1.52560 5.40000i 0.0766644 0.271360i
\(397\) −8.56236 14.8304i −0.429733 0.744319i 0.567117 0.823637i \(-0.308059\pi\)
−0.996849 + 0.0793187i \(0.974726\pi\)
\(398\) −5.79557 + 4.86306i −0.290506 + 0.243763i
\(399\) 9.78737 + 2.23945i 0.489982 + 0.112113i
\(400\) 1.96382 11.1374i 0.0981912 0.556870i
\(401\) 20.4643 + 17.1716i 1.02194 + 0.857509i 0.989870 0.141976i \(-0.0453457\pi\)
0.0320697 + 0.999486i \(0.489790\pi\)
\(402\) 19.1513 2.38949i 0.955179 0.119177i
\(403\) 0.0595618 + 0.0216787i 0.00296698 + 0.00107989i
\(404\) 5.21424 0.259418
\(405\) 11.5015 + 34.4784i 0.571516 + 1.71325i
\(406\) −0.976061 −0.0484411
\(407\) −19.7223 7.17834i −0.977600 0.355817i
\(408\) 9.98965 1.24640i 0.494561 0.0617061i
\(409\) −17.2699 14.4912i −0.853941 0.716541i 0.106713 0.994290i \(-0.465967\pi\)
−0.960654 + 0.277749i \(0.910412\pi\)
\(410\) −3.88028 + 22.0062i −0.191633 + 1.08681i
\(411\) 9.22941 + 2.11178i 0.455253 + 0.104167i
\(412\) 3.84428 3.22574i 0.189394 0.158921i
\(413\) −3.19816 5.53937i −0.157371 0.272574i
\(414\) −10.4924 10.7805i −0.515672 0.529833i
\(415\) 12.2830 21.2748i 0.602950 1.04434i
\(416\) −0.0248707 0.141049i −0.00121939 0.00691548i
\(417\) −1.80383 1.16642i −0.0883342 0.0571197i
\(418\) −10.1887 + 3.70839i −0.498347 + 0.181383i
\(419\) −9.21448 + 3.35379i −0.450157 + 0.163844i −0.557142 0.830417i \(-0.688102\pi\)
0.106986 + 0.994261i \(0.465880\pi\)
\(420\) −0.352425 + 6.98595i −0.0171966 + 0.340879i
\(421\) 2.01256 + 11.4138i 0.0980859 + 0.556273i 0.993758 + 0.111558i \(0.0355840\pi\)
−0.895672 + 0.444715i \(0.853305\pi\)
\(422\) 9.38523 16.2557i 0.456866 0.791315i
\(423\) 1.48575 2.06186i 0.0722395 0.100251i
\(424\) −0.668721 1.15826i −0.0324760 0.0562500i
\(425\) 50.3536 42.2517i 2.44251 2.04951i
\(426\) −19.3270 + 20.8071i −0.936396 + 1.00811i
\(427\) −0.771266 + 4.37407i −0.0373242 + 0.211676i
\(428\) −10.8986 9.14497i −0.526801 0.442039i
\(429\) −0.279971 0.370027i −0.0135171 0.0178651i
\(430\) −29.8226 10.8545i −1.43817 0.523452i
\(431\) 26.2094 1.26246 0.631232 0.775594i \(-0.282549\pi\)
0.631232 + 0.775594i \(0.282549\pi\)
\(432\) 2.70229 + 4.43820i 0.130014 + 0.213533i
\(433\) 1.41235 0.0678730 0.0339365 0.999424i \(-0.489196\pi\)
0.0339365 + 0.999424i \(0.489196\pi\)
\(434\) −0.415863 0.151362i −0.0199620 0.00726559i
\(435\) −2.65538 + 6.28984i −0.127316 + 0.301575i
\(436\) 1.26896 + 1.06478i 0.0607722 + 0.0509939i
\(437\) −5.04762 + 28.6265i −0.241460 + 1.36939i
\(438\) 2.41693 + 7.85051i 0.115485 + 0.375112i
\(439\) 11.4747 9.62846i 0.547660 0.459541i −0.326488 0.945201i \(-0.605865\pi\)
0.874148 + 0.485660i \(0.161421\pi\)
\(440\) −3.77689 6.54176i −0.180056 0.311866i
\(441\) −0.220968 2.99185i −0.0105223 0.142469i
\(442\) 0.416228 0.720929i 0.0197980 0.0342911i
\(443\) 4.22405 + 23.9558i 0.200691 + 1.13817i 0.904079 + 0.427366i \(0.140559\pi\)
−0.703388 + 0.710806i \(0.748330\pi\)
\(444\) 17.2995 8.85716i 0.820997 0.420342i
\(445\) 55.6832 20.2670i 2.63964 0.960749i
\(446\) −3.66960 + 1.33563i −0.173761 + 0.0632438i
\(447\) −16.4226 + 8.40822i −0.776764 + 0.397695i
\(448\) 0.173648 + 0.984808i 0.00820411 + 0.0465278i
\(449\) 0.909705 1.57566i 0.0429316 0.0743598i −0.843761 0.536719i \(-0.819664\pi\)
0.886693 + 0.462359i \(0.152997\pi\)
\(450\) 30.5519 + 14.7536i 1.44023 + 0.695490i
\(451\) 5.17480 + 8.96302i 0.243672 + 0.422052i
\(452\) 9.98334 8.37702i 0.469577 0.394022i
\(453\) 2.04913 + 6.65585i 0.0962766 + 0.312719i
\(454\) −2.37421 + 13.4648i −0.111427 + 0.631934i
\(455\) 0.443086 + 0.371793i 0.0207722 + 0.0174299i
\(456\) 3.90499 9.24981i 0.182868 0.433162i
\(457\) −5.58503 2.03278i −0.261257 0.0950896i 0.208071 0.978114i \(-0.433281\pi\)
−0.469328 + 0.883024i \(0.655504\pi\)
\(458\) 4.54547 0.212396
\(459\) −4.54951 + 29.8567i −0.212353 + 1.39359i
\(460\) −20.2510 −0.944208
\(461\) −6.69058 2.43517i −0.311611 0.113417i 0.181480 0.983395i \(-0.441911\pi\)
−0.493092 + 0.869977i \(0.664133\pi\)
\(462\) 1.95477 + 2.58354i 0.0909441 + 0.120197i
\(463\) −13.4528 11.2883i −0.625207 0.524611i 0.274229 0.961665i \(-0.411577\pi\)
−0.899435 + 0.437054i \(0.856022\pi\)
\(464\) −0.169491 + 0.961233i −0.00786843 + 0.0446241i
\(465\) −2.10675 + 2.26808i −0.0976981 + 0.105180i
\(466\) −20.7421 + 17.4046i −0.960857 + 0.806255i
\(467\) 10.8850 + 18.8534i 0.503700 + 0.872433i 0.999991 + 0.00427731i \(0.00136152\pi\)
−0.496291 + 0.868156i \(0.665305\pi\)
\(468\) 0.427492 + 0.0432421i 0.0197608 + 0.00199887i
\(469\) −5.57136 + 9.64989i −0.257262 + 0.445590i
\(470\) −0.594071 3.36914i −0.0274024 0.155407i
\(471\) 1.53194 30.3669i 0.0705882 1.39923i
\(472\) −6.01057 + 2.18767i −0.276659 + 0.100696i
\(473\) −13.8126 + 5.02739i −0.635106 + 0.231160i
\(474\) −20.2449 13.0910i −0.929880 0.601290i
\(475\) −11.3838 64.5610i −0.522327 2.96226i
\(476\) −2.90612 + 5.03355i −0.133202 + 0.230713i
\(477\) 3.88932 0.985883i 0.178080 0.0451405i
\(478\) −0.919721 1.59300i −0.0420671 0.0728623i
\(479\) −20.4386 + 17.1500i −0.933862 + 0.783603i −0.976507 0.215487i \(-0.930866\pi\)
0.0426446 + 0.999090i \(0.486422\pi\)
\(480\) 6.81862 + 1.56017i 0.311226 + 0.0712116i
\(481\) 0.279070 1.58268i 0.0127245 0.0721642i
\(482\) −11.3632 9.53487i −0.517580 0.434302i
\(483\) 8.61859 1.07534i 0.392160 0.0489295i
\(484\) 7.04901 + 2.56563i 0.320409 + 0.116619i
\(485\) −28.1135 −1.27657
\(486\) −15.0171 + 4.18157i −0.681191 + 0.189680i
\(487\) −0.474106 −0.0214838 −0.0107419 0.999942i \(-0.503419\pi\)
−0.0107419 + 0.999942i \(0.503419\pi\)
\(488\) 4.17369 + 1.51910i 0.188934 + 0.0687664i
\(489\) −33.6837 + 4.20269i −1.52323 + 0.190052i
\(490\) −3.09365 2.59588i −0.139757 0.117270i
\(491\) 4.44602 25.2146i 0.200646 1.13792i −0.703499 0.710696i \(-0.748380\pi\)
0.904145 0.427225i \(-0.140509\pi\)
\(492\) −9.34235 2.13762i −0.421186 0.0963715i
\(493\) −4.34585 + 3.64660i −0.195727 + 0.164235i
\(494\) −0.415121 0.719010i −0.0186772 0.0323498i
\(495\) 21.9666 5.56819i 0.987324 0.250272i
\(496\) −0.221276 + 0.383261i −0.00993558 + 0.0172089i
\(497\) −2.84710 16.1467i −0.127710 0.724279i
\(498\) 8.84751 + 5.72108i 0.396466 + 0.256368i
\(499\) −30.4203 + 11.0721i −1.36180 + 0.495655i −0.916611 0.399781i \(-0.869086\pi\)
−0.445190 + 0.895436i \(0.646864\pi\)
\(500\) 23.9429 8.71452i 1.07076 0.389725i
\(501\) −0.953982 + 18.9103i −0.0426208 + 0.844849i
\(502\) −3.11005 17.6380i −0.138808 0.787220i
\(503\) 10.4516 18.1026i 0.466012 0.807157i −0.533234 0.845968i \(-0.679024\pi\)
0.999247 + 0.0388107i \(0.0123569\pi\)
\(504\) −2.98477 0.301918i −0.132952 0.0134485i
\(505\) 10.5288 + 18.2364i 0.468524 + 0.811507i
\(506\) −7.18508 + 6.02900i −0.319416 + 0.268022i
\(507\) −15.2999 + 16.4716i −0.679493 + 0.731529i
\(508\) −2.96861 + 16.8358i −0.131711 + 0.746969i
\(509\) −29.7747 24.9839i −1.31974 1.10739i −0.986361 0.164599i \(-0.947367\pi\)
−0.333378 0.942793i \(-0.608189\pi\)
\(510\) 24.5306 + 32.4212i 1.08623 + 1.43563i
\(511\) −4.45643 1.62201i −0.197141 0.0717534i
\(512\) 1.00000 0.0441942
\(513\) 23.5191 + 18.8181i 1.03839 + 0.830840i
\(514\) −28.6416 −1.26333
\(515\) 19.0442 + 6.93154i 0.839189 + 0.305440i
\(516\) 5.29391 12.5398i 0.233051 0.552032i
\(517\) −1.21382 1.01851i −0.0533836 0.0447941i
\(518\) −1.94848 + 11.0504i −0.0856112 + 0.485525i
\(519\) −1.02726 3.33668i −0.0450918 0.146464i
\(520\) 0.443086 0.371793i 0.0194306 0.0163042i
\(521\) −1.86798 3.23544i −0.0818377 0.141747i 0.822202 0.569196i \(-0.192746\pi\)
−0.904039 + 0.427449i \(0.859412\pi\)
\(522\) −2.63683 1.27333i −0.115411 0.0557322i
\(523\) −0.558685 + 0.967670i −0.0244296 + 0.0423133i −0.877982 0.478694i \(-0.841110\pi\)
0.853552 + 0.521007i \(0.174444\pi\)
\(524\) 0.379299 + 2.15111i 0.0165698 + 0.0939718i
\(525\) −17.4357 + 8.92693i −0.760958 + 0.389603i
\(526\) 23.6360 8.60281i 1.03058 0.375100i
\(527\) −2.41710 + 0.879751i −0.105290 + 0.0383226i
\(528\) 2.88374 1.47644i 0.125498 0.0642540i
\(529\) 0.372561 + 2.11290i 0.0161983 + 0.0918650i
\(530\) 2.70061 4.67759i 0.117307 0.203182i
\(531\) −1.41338 19.1368i −0.0613355 0.830467i
\(532\) 2.89839 + 5.02016i 0.125661 + 0.217651i
\(533\) −0.607083 + 0.509403i −0.0262957 + 0.0220647i
\(534\) 7.47799 + 24.2895i 0.323604 + 1.05111i
\(535\) 9.97704 56.5826i 0.431345 2.44628i
\(536\) 8.53583 + 7.16241i 0.368692 + 0.309369i
\(537\) 7.09199 16.7989i 0.306042 0.724927i
\(538\) 17.7114 + 6.44643i 0.763594 + 0.277925i
\(539\) −1.87046 −0.0805662
\(540\) −10.0657 + 18.4128i −0.433158 + 0.792360i
\(541\) −15.5472 −0.668426 −0.334213 0.942498i \(-0.608471\pi\)
−0.334213 + 0.942498i \(0.608471\pi\)
\(542\) 7.79561 + 2.83737i 0.334850 + 0.121876i
\(543\) 27.9672 + 36.9632i 1.20019 + 1.58624i
\(544\) 4.45244 + 3.73604i 0.190897 + 0.160181i
\(545\) −1.16166 + 6.58813i −0.0497603 + 0.282204i
\(546\) −0.168830 + 0.181759i −0.00722526 + 0.00777857i
\(547\) 13.8868 11.6524i 0.593756 0.498220i −0.295676 0.955288i \(-0.595545\pi\)
0.889432 + 0.457068i \(0.151100\pi\)
\(548\) 2.73316 + 4.73396i 0.116755 + 0.202225i
\(549\) −7.78982 + 10.8104i −0.332461 + 0.461377i
\(550\) 10.5767 18.3194i 0.450992 0.781141i
\(551\) 0.982503 + 5.57205i 0.0418560 + 0.237377i
\(552\) 0.437604 8.67439i 0.0186256 0.369206i
\(553\) 13.0798 4.76064i 0.556208 0.202443i
\(554\) 15.5827 5.67162i 0.662044 0.240964i
\(555\) 65.9089 + 42.6188i 2.79768 + 1.80907i
\(556\) −0.215360 1.22137i −0.00913329 0.0517975i
\(557\) −5.21004 + 9.02405i −0.220756 + 0.382361i −0.955038 0.296484i \(-0.904186\pi\)
0.734281 + 0.678845i \(0.237519\pi\)
\(558\) −0.925994 0.951422i −0.0392004 0.0402769i
\(559\) −0.562770 0.974746i −0.0238026 0.0412274i
\(560\) −3.09365 + 2.59588i −0.130730 + 0.109696i
\(561\) 18.3557 + 4.19997i 0.774979 + 0.177323i
\(562\) 5.17006 29.3209i 0.218086 1.23683i
\(563\) −27.6486 23.2000i −1.16525 0.977762i −0.165287 0.986245i \(-0.552855\pi\)
−0.999964 + 0.00848362i \(0.997300\pi\)
\(564\) 1.45599 0.181663i 0.0613081 0.00764938i
\(565\) 49.4566 + 18.0007i 2.08065 + 0.757296i
\(566\) −16.4328 −0.690722
\(567\) 3.30611 8.37076i 0.138843 0.351539i
\(568\) −16.3958 −0.687953
\(569\) 34.7927 + 12.6635i 1.45859 + 0.530882i 0.944975 0.327142i \(-0.106085\pi\)
0.513610 + 0.858024i \(0.328308\pi\)
\(570\) 40.2355 5.02016i 1.68528 0.210271i
\(571\) 9.18757 + 7.70929i 0.384488 + 0.322624i 0.814461 0.580218i \(-0.197033\pi\)
−0.429973 + 0.902842i \(0.641477\pi\)
\(572\) 0.0465195 0.263825i 0.00194508 0.0110311i
\(573\) 0.628598 + 0.143830i 0.0262601 + 0.00600857i
\(574\) 4.23868 3.55667i 0.176919 0.148453i
\(575\) −28.3552 49.1126i −1.18249 2.04814i
\(576\) −0.815631 + 2.88700i −0.0339846 + 0.120291i
\(577\) −9.97108 + 17.2704i −0.415101 + 0.718977i −0.995439 0.0953992i \(-0.969587\pi\)
0.580338 + 0.814376i \(0.302921\pi\)
\(578\) 2.91420 + 16.5273i 0.121215 + 0.687443i
\(579\) −38.7379 25.0491i −1.60989 1.04101i
\(580\) −3.70407 + 1.34817i −0.153803 + 0.0559798i
\(581\) −5.71616 + 2.08051i −0.237146 + 0.0863142i
\(582\) 0.607504 12.0422i 0.0251818 0.499166i
\(583\) −0.434403 2.46362i −0.0179911 0.102033i
\(584\) −2.37122 + 4.10707i −0.0981216 + 0.169952i
\(585\) 0.711971 + 1.58243i 0.0294364 + 0.0654256i
\(586\) 6.06670 + 10.5078i 0.250613 + 0.434075i
\(587\) −10.5311 + 8.83668i −0.434667 + 0.364729i −0.833709 0.552204i \(-0.813787\pi\)
0.399042 + 0.916933i \(0.369343\pi\)
\(588\) 1.17878 1.26905i 0.0486120 0.0523347i
\(589\) −0.445472 + 2.52640i −0.0183554 + 0.104098i
\(590\) −19.7879 16.6040i −0.814656 0.683577i
\(591\) −6.28952 8.31262i −0.258716 0.341936i
\(592\) 10.5441 + 3.83775i 0.433361 + 0.157731i
\(593\) −1.92182 −0.0789196 −0.0394598 0.999221i \(-0.512564\pi\)
−0.0394598 + 0.999221i \(0.512564\pi\)
\(594\) 1.91042 + 9.52957i 0.0783857 + 0.391003i
\(595\) −23.4726 −0.962281
\(596\) −10.0097 3.64323i −0.410013 0.149232i
\(597\) 5.09654 12.0723i 0.208587 0.494084i
\(598\) −0.550176 0.461653i −0.0224984 0.0188784i
\(599\) −0.352388 + 1.99849i −0.0143982 + 0.0816561i −0.991160 0.132671i \(-0.957645\pi\)
0.976762 + 0.214327i \(0.0687558\pi\)
\(600\) 5.76362 + 18.7210i 0.235299 + 0.764281i
\(601\) −18.9142 + 15.8709i −0.771526 + 0.647387i −0.941099 0.338131i \(-0.890205\pi\)
0.169573 + 0.985518i \(0.445761\pi\)
\(602\) 3.92928 + 6.80572i 0.160146 + 0.277380i
\(603\) −27.6399 + 18.8010i −1.12558 + 0.765636i
\(604\) −2.01037 + 3.48207i −0.0818010 + 0.141683i
\(605\) 5.26052 + 29.8339i 0.213871 + 1.21292i
\(606\) −8.03894 + 4.11586i −0.326560 + 0.167195i
\(607\) −6.95920 + 2.53294i −0.282465 + 0.102809i −0.479368 0.877614i \(-0.659134\pi\)
0.196902 + 0.980423i \(0.436912\pi\)
\(608\) 5.44719 1.98261i 0.220913 0.0804056i
\(609\) 1.50482 0.770454i 0.0609784 0.0312204i
\(610\) 3.11473 + 17.6645i 0.126112 + 0.715216i
\(611\) 0.0606651 0.105075i 0.00245425 0.00425088i
\(612\) −14.4175 + 9.80694i −0.582792 + 0.396422i
\(613\) −14.4883 25.0946i −0.585179 1.01356i −0.994853 0.101328i \(-0.967691\pi\)
0.409674 0.912232i \(-0.365642\pi\)
\(614\) 17.8229 14.9552i 0.719275 0.603543i
\(615\) −11.3882 36.9904i −0.459218 1.49160i
\(616\) −0.324801 + 1.84204i −0.0130866 + 0.0742179i
\(617\) −9.20524 7.72411i −0.370589 0.310961i 0.438406 0.898777i \(-0.355543\pi\)
−0.808994 + 0.587816i \(0.799988\pi\)
\(618\) −3.38061 + 8.00769i −0.135988 + 0.322117i
\(619\) 15.6287 + 5.68838i 0.628170 + 0.228635i 0.636435 0.771331i \(-0.280409\pi\)
−0.00826470 + 0.999966i \(0.502631\pi\)
\(620\) −1.78723 −0.0717769
\(621\) 24.6860 + 8.33846i 0.990615 + 0.334611i
\(622\) 1.34575 0.0539596
\(623\) −13.7882 5.01849i −0.552412 0.201062i
\(624\) 0.149681 + 0.197827i 0.00599202 + 0.00791943i
\(625\) 35.5079 + 29.7946i 1.42032 + 1.19179i
\(626\) 3.31953 18.8260i 0.132675 0.752438i
\(627\) 12.7810 13.7598i 0.510425 0.549514i
\(628\) 13.4476 11.2839i 0.536619 0.450277i
\(629\) 32.6091 + 56.4807i 1.30021 + 2.25203i
\(630\) −4.97101 11.0486i −0.198050 0.440187i
\(631\) −8.79981 + 15.2417i −0.350315 + 0.606763i −0.986305 0.164935i \(-0.947259\pi\)
0.635990 + 0.771697i \(0.280592\pi\)
\(632\) −2.41704 13.7077i −0.0961447 0.545264i
\(633\) −1.63804 + 32.4701i −0.0651064 + 1.29057i
\(634\) 10.3546 3.76877i 0.411234 0.149677i
\(635\) −64.8762 + 23.6130i −2.57453 + 0.937054i
\(636\) 1.94526 + 1.25787i 0.0771345 + 0.0498776i
\(637\) −0.0248707 0.141049i −0.000985413 0.00558855i
\(638\) −0.912840 + 1.58108i −0.0361397 + 0.0625957i
\(639\) 13.3729 47.3346i 0.529025 1.87253i
\(640\) 2.01923 + 3.49741i 0.0798172 + 0.138247i
\(641\) −1.08960 + 0.914286i −0.0430368 + 0.0361121i −0.664052 0.747686i \(-0.731165\pi\)
0.621016 + 0.783798i \(0.286720\pi\)
\(642\) 24.0212 + 5.49629i 0.948041 + 0.216921i
\(643\) 0.665454 3.77398i 0.0262429 0.148831i −0.968871 0.247567i \(-0.920369\pi\)
0.995114 + 0.0987362i \(0.0314800\pi\)
\(644\) 3.84135 + 3.22328i 0.151370 + 0.127015i
\(645\) 54.5464 6.80572i 2.14776 0.267975i
\(646\) 31.6604 + 11.5234i 1.24566 + 0.453384i
\(647\) 19.5538 0.768740 0.384370 0.923179i \(-0.374419\pi\)
0.384370 + 0.923179i \(0.374419\pi\)
\(648\) −7.66949 4.70945i −0.301286 0.185005i
\(649\) −11.9640 −0.469629
\(650\) 1.52207 + 0.553990i 0.0597007 + 0.0217293i
\(651\) 0.760625 0.0949026i 0.0298112 0.00371953i
\(652\) −15.0130 12.5974i −0.587955 0.493353i
\(653\) 0.916996 5.20054i 0.0358848 0.203513i −0.961594 0.274475i \(-0.911496\pi\)
0.997479 + 0.0709622i \(0.0226070\pi\)
\(654\) −2.79688 0.639954i −0.109367 0.0250242i
\(655\) −6.75744 + 5.67016i −0.264035 + 0.221552i
\(656\) −2.76660 4.79189i −0.108018 0.187092i
\(657\) −9.92305 10.1955i −0.387135 0.397766i
\(658\) −0.423566 + 0.733638i −0.0165123 + 0.0286002i
\(659\) 3.22042 + 18.2639i 0.125450 + 0.711461i 0.981040 + 0.193807i \(0.0620836\pi\)
−0.855590 + 0.517654i \(0.826805\pi\)
\(660\) 10.9867 + 7.10433i 0.427656 + 0.276536i
\(661\) −24.4686 + 8.90583i −0.951717 + 0.346397i −0.770783 0.637098i \(-0.780135\pi\)
−0.180935 + 0.983495i \(0.557912\pi\)
\(662\) −9.57571 + 3.48527i −0.372170 + 0.135459i
\(663\) −0.0726461 + 1.44003i −0.00282134 + 0.0559260i
\(664\) 1.05630 + 5.99060i 0.0409926 + 0.232480i
\(665\) −11.7050 + 20.2737i −0.453902 + 0.786181i
\(666\) −19.6797 + 27.3107i −0.762573 + 1.05827i
\(667\) 2.44724 + 4.23875i 0.0947576 + 0.164125i
\(668\) −8.37420 + 7.02679i −0.324007 + 0.271875i
\(669\) 4.60326 4.95578i 0.177972 0.191601i
\(670\) −7.81409 + 44.3159i −0.301885 + 1.71207i
\(671\) 6.36408 + 5.34010i 0.245683 + 0.206152i
\(672\) −1.04508 1.38124i −0.0403147 0.0532824i
\(673\) −25.0848 9.13012i −0.966948 0.351940i −0.190195 0.981746i \(-0.560912\pi\)
−0.776752 + 0.629806i \(0.783134\pi\)
\(674\) 9.39854 0.362018
\(675\) −58.7484 + 1.37013i −2.26123 + 0.0527363i
\(676\) −12.9795 −0.499211
\(677\) 0.413421 + 0.150473i 0.0158891 + 0.00578315i 0.349952 0.936767i \(-0.386198\pi\)
−0.334063 + 0.942551i \(0.608420\pi\)
\(678\) −8.77920 + 20.7954i −0.337163 + 0.798644i
\(679\) 5.33276 + 4.47472i 0.204653 + 0.171724i
\(680\) −4.07597 + 23.1160i −0.156306 + 0.886457i
\(681\) −6.96806 22.6331i −0.267016 0.867304i
\(682\) −0.634111 + 0.532083i −0.0242814 + 0.0203745i
\(683\) −14.8735 25.7617i −0.569120 0.985745i −0.996653 0.0817455i \(-0.973951\pi\)
0.427533 0.904000i \(-0.359383\pi\)
\(684\) 1.28090 + 17.3431i 0.0489765 + 0.663130i
\(685\) −11.0378 + 19.1180i −0.421731 + 0.730460i
\(686\) 0.173648 + 0.984808i 0.00662992 + 0.0376001i
\(687\) −7.00789 + 3.58797i −0.267368 + 0.136890i
\(688\) 7.38464 2.68779i 0.281537 0.102471i
\(689\) 0.180003 0.0655156i 0.00685755 0.00249594i
\(690\) 31.2216 15.9851i 1.18858 0.608543i
\(691\) −1.06268 6.02675i −0.0404262 0.229268i 0.957900 0.287102i \(-0.0926919\pi\)
−0.998326 + 0.0578335i \(0.981581\pi\)
\(692\) 1.00783 1.74562i 0.0383121 0.0663584i
\(693\) −5.05304 2.44012i −0.191949 0.0926927i
\(694\) 4.10504 + 7.11014i 0.155825 + 0.269897i
\(695\) 3.83676 3.21943i 0.145537 0.122120i
\(696\) −0.497439 1.61575i −0.0188554 0.0612448i
\(697\) 5.58458 31.6717i 0.211531 1.19965i
\(698\) −11.8149 9.91387i −0.447200 0.375246i
\(699\) 18.2403 43.2060i 0.689910 1.63420i
\(700\) −10.6272 3.86798i −0.401670 0.146196i
\(701\) −36.3028 −1.37114 −0.685569 0.728007i \(-0.740447\pi\)
−0.685569 + 0.728007i \(0.740447\pi\)
\(702\) −0.693210 + 0.270774i −0.0261635 + 0.0102197i
\(703\) 65.0447 2.45321
\(704\) 1.75765 + 0.639734i 0.0662441 + 0.0241109i
\(705\) 3.57533 + 4.72537i 0.134655 + 0.177968i
\(706\) 9.60933 + 8.06319i 0.361652 + 0.303462i
\(707\) 0.905443 5.13502i 0.0340527 0.193122i
\(708\) 7.53983 8.11723i 0.283364 0.305064i
\(709\) 22.4981 18.8782i 0.844935 0.708985i −0.113733 0.993511i \(-0.536281\pi\)
0.958668 + 0.284526i \(0.0918364\pi\)
\(710\) −33.1070 57.3429i −1.24248 2.15204i
\(711\) 41.5455 + 4.20246i 1.55808 + 0.157604i
\(712\) −7.33655 + 12.7073i −0.274949 + 0.476225i
\(713\) 0.385358 + 2.18547i 0.0144318 + 0.0818466i
\(714\) 0.507218 10.0543i 0.0189822 0.376273i
\(715\) 1.01664 0.370027i 0.0380202 0.0138382i
\(716\) 9.89284 3.60070i 0.369713 0.134564i
\(717\) 2.67540 + 1.73000i 0.0999145 + 0.0646079i
\(718\) −4.59189 26.0419i −0.171368 0.971875i
\(719\) −23.7741 + 41.1779i −0.886624 + 1.53568i −0.0427831 + 0.999084i \(0.513622\pi\)
−0.843841 + 0.536593i \(0.819711\pi\)
\(720\) −11.7440 + 2.97692i −0.437672 + 0.110943i
\(721\) −2.50918 4.34602i −0.0934466 0.161854i
\(722\) 11.1862 9.38638i 0.416309 0.349325i
\(723\) 25.0454 + 5.73063i 0.931447 + 0.213124i
\(724\) −4.64698 + 26.3544i −0.172704 + 0.979452i
\(725\) −8.45597 7.09540i −0.314047 0.263517i
\(726\) −12.8928 + 1.60863i −0.478498 + 0.0597019i
\(727\) 21.2214 + 7.72397i 0.787060 + 0.286466i 0.704113 0.710088i \(-0.251345\pi\)
0.0829464 + 0.996554i \(0.473567\pi\)
\(728\) −0.143225 −0.00530826
\(729\) 19.8516 18.3006i 0.735246 0.677801i
\(730\) −19.1522 −0.708853
\(731\) 42.9213 + 15.6221i 1.58750 + 0.577804i
\(732\) −7.63379 + 0.952463i −0.282153 + 0.0352041i
\(733\) −3.43760 2.88449i −0.126971 0.106541i 0.577091 0.816680i \(-0.304188\pi\)
−0.704062 + 0.710139i \(0.748632\pi\)
\(734\) −1.86052 + 10.5515i −0.0686730 + 0.389464i
\(735\) 6.81862 + 1.56017i 0.251508 + 0.0575477i
\(736\) 3.84135 3.22328i 0.141594 0.118812i
\(737\) 10.4210 + 18.0497i 0.383862 + 0.664869i
\(738\) 16.0907 4.07875i 0.592307 0.150141i
\(739\) 10.5005 18.1875i 0.386269 0.669037i −0.605676 0.795712i \(-0.707097\pi\)
0.991944 + 0.126675i \(0.0404304\pi\)
\(740\) 7.86886 + 44.6265i 0.289265 + 1.64050i
\(741\) 1.20755 + 0.780843i 0.0443606 + 0.0286850i
\(742\) −1.25678 + 0.457432i −0.0461380 + 0.0167929i
\(743\) 40.4804 14.7337i 1.48508 0.540526i 0.532934 0.846157i \(-0.321090\pi\)
0.952150 + 0.305631i \(0.0988673\pi\)
\(744\) 0.0386202 0.765549i 0.00141589 0.0280664i
\(745\) −7.47001 42.3646i −0.273680 1.55212i
\(746\) 5.72958 9.92393i 0.209775 0.363341i
\(747\) −18.1564 1.83657i −0.664308 0.0671967i
\(748\) 5.43578 + 9.41504i 0.198752 + 0.344248i
\(749\) −10.8986 + 9.14497i −0.398224 + 0.334150i
\(750\) −30.0347 + 32.3348i −1.09671 + 1.18070i
\(751\) 0.403440 2.28802i 0.0147217 0.0834912i −0.976562 0.215238i \(-0.930947\pi\)
0.991283 + 0.131747i \(0.0420585\pi\)
\(752\) 0.648941 + 0.544526i 0.0236645 + 0.0198568i
\(753\) 18.7174 + 24.7380i 0.682099 + 0.901504i
\(754\) −0.131365 0.0478131i −0.00478404 0.00174125i
\(755\) −16.2377 −0.590949
\(756\) 4.84002 1.89055i 0.176030 0.0687587i
\(757\) −43.3714 −1.57636 −0.788181 0.615444i \(-0.788977\pi\)
−0.788181 + 0.615444i \(0.788977\pi\)
\(758\) −24.2187 8.81490i −0.879664 0.320172i
\(759\) 6.31845 14.9666i 0.229345 0.543254i
\(760\) 17.9332 + 15.0477i 0.650504 + 0.545838i
\(761\) 3.90808 22.1638i 0.141668 0.803438i −0.828315 0.560263i \(-0.810700\pi\)
0.969982 0.243175i \(-0.0781889\pi\)
\(762\) −8.71257 28.2996i −0.315623 1.02518i
\(763\) 1.26896 1.06478i 0.0459394 0.0385478i
\(764\) 0.186150 + 0.322422i 0.00673468 + 0.0116648i
\(765\) −63.4112 30.6214i −2.29264 1.10712i
\(766\) 0.410680 0.711318i 0.0148385 0.0257010i
\(767\) −0.159081 0.902192i −0.00574407 0.0325762i
\(768\) −1.54173 + 0.789350i −0.0556323 + 0.0284832i
\(769\) 28.8724 10.5087i 1.04117 0.378954i 0.235845 0.971791i \(-0.424214\pi\)
0.805323