Properties

Label 273.2.r.b.68.16
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.16
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.17

$q$-expansion

\(f(q)\) \(=\) \(q-0.0504397i q^{2} +(-1.05075 + 1.37693i) q^{3} +1.99746 q^{4} +(-1.19579 + 2.07117i) q^{5} +(0.0694519 + 0.0529993i) q^{6} +(0.00656452 + 2.64574i) q^{7} -0.201631i q^{8} +(-0.791866 - 2.89360i) q^{9} +O(q^{10})\) \(q-0.0504397i q^{2} +(-1.05075 + 1.37693i) q^{3} +1.99746 q^{4} +(-1.19579 + 2.07117i) q^{5} +(0.0694519 + 0.0529993i) q^{6} +(0.00656452 + 2.64574i) q^{7} -0.201631i q^{8} +(-0.791866 - 2.89360i) q^{9} +(0.104469 + 0.0603154i) q^{10} +(-2.85650 - 1.64920i) q^{11} +(-2.09882 + 2.75035i) q^{12} +(-3.26013 + 1.53997i) q^{13} +(0.133451 - 0.000331113i) q^{14} +(-1.59538 - 3.82279i) q^{15} +3.98474 q^{16} +6.34997 q^{17} +(-0.145953 + 0.0399415i) q^{18} +(-4.30999 + 2.48837i) q^{19} +(-2.38854 + 4.13707i) q^{20} +(-3.64990 - 2.77097i) q^{21} +(-0.0831852 + 0.144081i) q^{22} +3.78971i q^{23} +(0.277631 + 0.211862i) q^{24} +(-0.359831 - 0.623246i) q^{25} +(0.0776759 + 0.164440i) q^{26} +(4.81634 + 1.95010i) q^{27} +(0.0131123 + 5.28476i) q^{28} +(-2.15531 + 1.24437i) q^{29} +(-0.192821 + 0.0804706i) q^{30} +(4.40944 - 2.54579i) q^{31} -0.604250i q^{32} +(5.27229 - 2.20030i) q^{33} -0.320291i q^{34} +(-5.48763 - 3.15016i) q^{35} +(-1.58172 - 5.77985i) q^{36} +5.24612 q^{37} +(0.125513 + 0.217394i) q^{38} +(1.30514 - 6.10710i) q^{39} +(0.417611 + 0.241108i) q^{40} +(0.726691 + 1.25866i) q^{41} +(-0.139767 + 0.184100i) q^{42} +(-0.219074 + 0.379447i) q^{43} +(-5.70573 - 3.29420i) q^{44} +(6.94005 + 1.82006i) q^{45} +0.191152 q^{46} +(2.16184 - 3.74442i) q^{47} +(-4.18695 + 5.48671i) q^{48} +(-6.99991 + 0.0347361i) q^{49} +(-0.0314364 + 0.0181498i) q^{50} +(-6.67220 + 8.74345i) q^{51} +(-6.51197 + 3.07603i) q^{52} +(11.7501 - 6.78394i) q^{53} +(0.0983625 - 0.242935i) q^{54} +(6.83155 - 3.94420i) q^{55} +(0.533463 - 0.00132361i) q^{56} +(1.10239 - 8.54919i) q^{57} +(0.0627656 + 0.108713i) q^{58} +2.83547 q^{59} +(-3.18670 - 7.63586i) q^{60} +(2.46719 - 1.42443i) q^{61} +(-0.128409 - 0.222411i) q^{62} +(7.65054 - 2.11407i) q^{63} +7.93900 q^{64} +(0.708889 - 8.59378i) q^{65} +(-0.110983 - 0.265933i) q^{66} +(-0.719519 + 1.24624i) q^{67} +12.6838 q^{68} +(-5.21815 - 3.98202i) q^{69} +(-0.158893 + 0.276795i) q^{70} +(5.14430 + 2.97006i) q^{71} +(-0.583439 + 0.159664i) q^{72} +(4.79664 - 2.76934i) q^{73} -0.264613i q^{74} +(1.23626 + 0.159411i) q^{75} +(-8.60901 + 4.97041i) q^{76} +(4.34461 - 7.56839i) q^{77} +(-0.308040 - 0.0658308i) q^{78} +(2.32507 - 4.02714i) q^{79} +(-4.76492 + 8.25308i) q^{80} +(-7.74590 + 4.58269i) q^{81} +(0.0634867 - 0.0366541i) q^{82} -16.2715 q^{83} +(-7.29051 - 5.53488i) q^{84} +(-7.59323 + 13.1519i) q^{85} +(0.0191392 + 0.0110500i) q^{86} +(0.551276 - 4.27522i) q^{87} +(-0.332529 + 0.575957i) q^{88} -5.09488 q^{89} +(0.0918032 - 0.350054i) q^{90} +(-4.09578 - 8.61537i) q^{91} +7.56977i q^{92} +(-1.12783 + 8.74647i) q^{93} +(-0.188868 - 0.109043i) q^{94} -11.9023i q^{95} +(0.832010 + 0.634914i) q^{96} +(11.0551 + 6.38267i) q^{97} +(0.00175208 + 0.353074i) q^{98} +(-2.51017 + 9.57152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0504397i 0.0356663i −0.999841 0.0178331i \(-0.994323\pi\)
0.999841 0.0178331i \(-0.00567676\pi\)
\(3\) −1.05075 + 1.37693i −0.606648 + 0.794970i
\(4\) 1.99746 0.998728
\(5\) −1.19579 + 2.07117i −0.534774 + 0.926256i 0.464400 + 0.885625i \(0.346270\pi\)
−0.999174 + 0.0406302i \(0.987063\pi\)
\(6\) 0.0694519 + 0.0529993i 0.0283536 + 0.0216369i
\(7\) 0.00656452 + 2.64574i 0.00248116 + 0.999997i
\(8\) 0.201631i 0.0712872i
\(9\) −0.791866 2.89360i −0.263955 0.964535i
\(10\) 0.104469 + 0.0603154i 0.0330361 + 0.0190734i
\(11\) −2.85650 1.64920i −0.861267 0.497253i 0.00316960 0.999995i \(-0.498991\pi\)
−0.864436 + 0.502742i \(0.832324\pi\)
\(12\) −2.09882 + 2.75035i −0.605877 + 0.793959i
\(13\) −3.26013 + 1.53997i −0.904199 + 0.427112i
\(14\) 0.133451 0.000331113i 0.0356662 8.84936e-5i
\(15\) −1.59538 3.82279i −0.411926 0.987041i
\(16\) 3.98474 0.996185
\(17\) 6.34997 1.54009 0.770046 0.637988i \(-0.220233\pi\)
0.770046 + 0.637988i \(0.220233\pi\)
\(18\) −0.145953 + 0.0399415i −0.0344014 + 0.00941430i
\(19\) −4.30999 + 2.48837i −0.988778 + 0.570871i −0.904909 0.425605i \(-0.860061\pi\)
−0.0838695 + 0.996477i \(0.526728\pi\)
\(20\) −2.38854 + 4.13707i −0.534094 + 0.925077i
\(21\) −3.64990 2.77097i −0.796473 0.604674i
\(22\) −0.0831852 + 0.144081i −0.0177351 + 0.0307182i
\(23\) 3.78971i 0.790208i 0.918636 + 0.395104i \(0.129291\pi\)
−0.918636 + 0.395104i \(0.870709\pi\)
\(24\) 0.277631 + 0.211862i 0.0566712 + 0.0432463i
\(25\) −0.359831 0.623246i −0.0719663 0.124649i
\(26\) 0.0776759 + 0.164440i 0.0152335 + 0.0322494i
\(27\) 4.81634 + 1.95010i 0.926905 + 0.375297i
\(28\) 0.0131123 + 5.28476i 0.00247800 + 0.998725i
\(29\) −2.15531 + 1.24437i −0.400231 + 0.231073i −0.686584 0.727051i \(-0.740890\pi\)
0.286353 + 0.958124i \(0.407557\pi\)
\(30\) −0.192821 + 0.0804706i −0.0352041 + 0.0146919i
\(31\) 4.40944 2.54579i 0.791960 0.457238i −0.0486923 0.998814i \(-0.515505\pi\)
0.840652 + 0.541576i \(0.182172\pi\)
\(32\) 0.604250i 0.106817i
\(33\) 5.27229 2.20030i 0.917787 0.383024i
\(34\) 0.320291i 0.0549294i
\(35\) −5.48763 3.15016i −0.927580 0.532474i
\(36\) −1.58172 5.77985i −0.263620 0.963308i
\(37\) 5.24612 0.862457 0.431228 0.902243i \(-0.358080\pi\)
0.431228 + 0.902243i \(0.358080\pi\)
\(38\) 0.125513 + 0.217394i 0.0203609 + 0.0352660i
\(39\) 1.30514 6.10710i 0.208989 0.977918i
\(40\) 0.417611 + 0.241108i 0.0660301 + 0.0381225i
\(41\) 0.726691 + 1.25866i 0.113490 + 0.196570i 0.917175 0.398484i \(-0.130464\pi\)
−0.803685 + 0.595055i \(0.797130\pi\)
\(42\) −0.139767 + 0.184100i −0.0215665 + 0.0284072i
\(43\) −0.219074 + 0.379447i −0.0334085 + 0.0578652i −0.882246 0.470788i \(-0.843970\pi\)
0.848838 + 0.528653i \(0.177303\pi\)
\(44\) −5.70573 3.29420i −0.860171 0.496620i
\(45\) 6.94005 + 1.82006i 1.03456 + 0.271318i
\(46\) 0.191152 0.0281838
\(47\) 2.16184 3.74442i 0.315337 0.546180i −0.664172 0.747580i \(-0.731216\pi\)
0.979509 + 0.201400i \(0.0645491\pi\)
\(48\) −4.18695 + 5.48671i −0.604334 + 0.791938i
\(49\) −6.99991 + 0.0347361i −0.999988 + 0.00496230i
\(50\) −0.0314364 + 0.0181498i −0.00444577 + 0.00256677i
\(51\) −6.67220 + 8.74345i −0.934295 + 1.22433i
\(52\) −6.51197 + 3.07603i −0.903048 + 0.426569i
\(53\) 11.7501 6.78394i 1.61400 0.931845i 0.625574 0.780165i \(-0.284865\pi\)
0.988430 0.151681i \(-0.0484686\pi\)
\(54\) 0.0983625 0.242935i 0.0133854 0.0330592i
\(55\) 6.83155 3.94420i 0.921166 0.531835i
\(56\) 0.533463 0.00132361i 0.0712869 0.000176875i
\(57\) 1.10239 8.54919i 0.146015 1.13237i
\(58\) 0.0627656 + 0.108713i 0.00824153 + 0.0142747i
\(59\) 2.83547 0.369146 0.184573 0.982819i \(-0.440910\pi\)
0.184573 + 0.982819i \(0.440910\pi\)
\(60\) −3.18670 7.63586i −0.411402 0.985785i
\(61\) 2.46719 1.42443i 0.315891 0.182380i −0.333669 0.942690i \(-0.608287\pi\)
0.649560 + 0.760311i \(0.274953\pi\)
\(62\) −0.128409 0.222411i −0.0163080 0.0282462i
\(63\) 7.65054 2.11407i 0.963877 0.266348i
\(64\) 7.93900 0.992376
\(65\) 0.708889 8.59378i 0.0879269 1.06593i
\(66\) −0.110983 0.265933i −0.0136610 0.0327340i
\(67\) −0.719519 + 1.24624i −0.0879032 + 0.152253i −0.906625 0.421938i \(-0.861350\pi\)
0.818721 + 0.574191i \(0.194683\pi\)
\(68\) 12.6838 1.53813
\(69\) −5.21815 3.98202i −0.628192 0.479379i
\(70\) −0.158893 + 0.276795i −0.0189914 + 0.0330833i
\(71\) 5.14430 + 2.97006i 0.610516 + 0.352482i 0.773167 0.634202i \(-0.218671\pi\)
−0.162651 + 0.986684i \(0.552005\pi\)
\(72\) −0.583439 + 0.159664i −0.0687590 + 0.0188166i
\(73\) 4.79664 2.76934i 0.561404 0.324127i −0.192305 0.981335i \(-0.561596\pi\)
0.753709 + 0.657209i \(0.228263\pi\)
\(74\) 0.264613i 0.0307606i
\(75\) 1.23626 + 0.159411i 0.142751 + 0.0184072i
\(76\) −8.60901 + 4.97041i −0.987521 + 0.570145i
\(77\) 4.34461 7.56839i 0.495114 0.862498i
\(78\) −0.308040 0.0658308i −0.0348787 0.00745387i
\(79\) 2.32507 4.02714i 0.261591 0.453088i −0.705074 0.709134i \(-0.749086\pi\)
0.966665 + 0.256045i \(0.0824197\pi\)
\(80\) −4.76492 + 8.25308i −0.532734 + 0.922722i
\(81\) −7.74590 + 4.58269i −0.860655 + 0.509188i
\(82\) 0.0634867 0.0366541i 0.00701093 0.00404776i
\(83\) −16.2715 −1.78603 −0.893015 0.450026i \(-0.851415\pi\)
−0.893015 + 0.450026i \(0.851415\pi\)
\(84\) −7.29051 5.53488i −0.795460 0.603905i
\(85\) −7.59323 + 13.1519i −0.823602 + 1.42652i
\(86\) 0.0191392 + 0.0110500i 0.00206384 + 0.00119156i
\(87\) 0.551276 4.27522i 0.0591030 0.458352i
\(88\) −0.332529 + 0.575957i −0.0354477 + 0.0613973i
\(89\) −5.09488 −0.540056 −0.270028 0.962852i \(-0.587033\pi\)
−0.270028 + 0.962852i \(0.587033\pi\)
\(90\) 0.0918032 0.350054i 0.00967690 0.0368990i
\(91\) −4.09578 8.61537i −0.429354 0.903136i
\(92\) 7.56977i 0.789203i
\(93\) −1.12783 + 8.74647i −0.116950 + 0.906967i
\(94\) −0.188868 0.109043i −0.0194802 0.0112469i
\(95\) 11.9023i 1.22115i
\(96\) 0.832010 + 0.634914i 0.0849166 + 0.0648006i
\(97\) 11.0551 + 6.38267i 1.12248 + 0.648062i 0.942032 0.335523i \(-0.108913\pi\)
0.180445 + 0.983585i \(0.442246\pi\)
\(98\) 0.00175208 + 0.353074i 0.000176987 + 0.0356658i
\(99\) −2.51017 + 9.57152i −0.252282 + 0.961974i
\(100\) −0.718747 1.24491i −0.0718747 0.124491i
\(101\) 7.70071 13.3380i 0.766250 1.32718i −0.173334 0.984863i \(-0.555454\pi\)
0.939583 0.342320i \(-0.111213\pi\)
\(102\) 0.441017 + 0.336544i 0.0436672 + 0.0333228i
\(103\) −8.35522 4.82389i −0.823264 0.475312i 0.0282768 0.999600i \(-0.490998\pi\)
−0.851541 + 0.524288i \(0.824331\pi\)
\(104\) 0.310506 + 0.657343i 0.0304476 + 0.0644578i
\(105\) 10.1037 4.24607i 0.986016 0.414374i
\(106\) −0.342180 0.592673i −0.0332355 0.0575655i
\(107\) 15.9995i 1.54673i 0.633964 + 0.773363i \(0.281427\pi\)
−0.633964 + 0.773363i \(0.718573\pi\)
\(108\) 9.62042 + 3.89524i 0.925726 + 0.374820i
\(109\) −1.34089 2.32249i −0.128434 0.222454i 0.794636 0.607086i \(-0.207662\pi\)
−0.923070 + 0.384632i \(0.874328\pi\)
\(110\) −0.198944 0.344581i −0.0189686 0.0328546i
\(111\) −5.51234 + 7.22353i −0.523208 + 0.685627i
\(112\) 0.0261579 + 10.5426i 0.00247169 + 0.996182i
\(113\) 1.59016 + 0.918079i 0.149590 + 0.0863656i 0.572927 0.819607i \(-0.305808\pi\)
−0.423337 + 0.905972i \(0.639141\pi\)
\(114\) −0.431219 0.0556042i −0.0403873 0.00520781i
\(115\) −7.84913 4.53170i −0.731935 0.422583i
\(116\) −4.30514 + 2.48557i −0.399722 + 0.230779i
\(117\) 7.03767 + 8.21409i 0.650633 + 0.759393i
\(118\) 0.143020i 0.0131661i
\(119\) 0.0416845 + 16.8004i 0.00382121 + 1.54009i
\(120\) −0.770792 + 0.321678i −0.0703633 + 0.0293650i
\(121\) −0.0602782 0.104405i −0.00547984 0.00949135i
\(122\) −0.0718479 0.124444i −0.00650480 0.0112666i
\(123\) −2.49666 0.321936i −0.225116 0.0290280i
\(124\) 8.80767 5.08511i 0.790952 0.456656i
\(125\) −10.2368 −0.915605
\(126\) −0.106633 0.385891i −0.00949963 0.0343779i
\(127\) 2.35503 + 4.07903i 0.208975 + 0.361956i 0.951392 0.307983i \(-0.0996539\pi\)
−0.742417 + 0.669938i \(0.766321\pi\)
\(128\) 1.60894i 0.142212i
\(129\) −0.292281 0.700352i −0.0257339 0.0616626i
\(130\) −0.433468 0.0357562i −0.0380177 0.00313602i
\(131\) −8.13750 + 14.0946i −0.710977 + 1.23145i 0.253514 + 0.967332i \(0.418413\pi\)
−0.964491 + 0.264116i \(0.914920\pi\)
\(132\) 10.5312 4.39501i 0.916620 0.382537i
\(133\) −6.61188 11.3868i −0.573323 0.987359i
\(134\) 0.0628601 + 0.0362923i 0.00543029 + 0.00313518i
\(135\) −9.79832 + 7.64354i −0.843305 + 0.657852i
\(136\) 1.28035i 0.109789i
\(137\) 8.87491i 0.758235i −0.925349 0.379118i \(-0.876228\pi\)
0.925349 0.379118i \(-0.123772\pi\)
\(138\) −0.200852 + 0.263202i −0.0170976 + 0.0224053i
\(139\) 4.70649 + 2.71729i 0.399199 + 0.230478i 0.686138 0.727471i \(-0.259304\pi\)
−0.286939 + 0.957949i \(0.592638\pi\)
\(140\) −10.9613 6.29230i −0.926400 0.531797i
\(141\) 2.88425 + 6.91114i 0.242898 + 0.582023i
\(142\) 0.149809 0.259477i 0.0125717 0.0217748i
\(143\) 11.8523 + 0.977679i 0.991139 + 0.0817576i
\(144\) −3.15538 11.5303i −0.262948 0.960856i
\(145\) 5.95202i 0.494288i
\(146\) −0.139685 0.241941i −0.0115604 0.0200232i
\(147\) 7.30730 9.67488i 0.602696 0.797971i
\(148\) 10.4789 0.861359
\(149\) 3.21822 1.85804i 0.263647 0.152217i −0.362350 0.932042i \(-0.618026\pi\)
0.625997 + 0.779825i \(0.284692\pi\)
\(150\) 0.00804066 0.0623565i 0.000656517 0.00509138i
\(151\) 9.64969 + 16.7138i 0.785280 + 1.36015i 0.928831 + 0.370503i \(0.120815\pi\)
−0.143551 + 0.989643i \(0.545852\pi\)
\(152\) 0.501732 + 0.869025i 0.0406958 + 0.0704872i
\(153\) −5.02832 18.3743i −0.406516 1.48547i
\(154\) −0.381747 0.219141i −0.0307621 0.0176589i
\(155\) 12.1769i 0.978076i
\(156\) 2.60695 12.1987i 0.208723 0.976674i
\(157\) −5.75610 + 3.32329i −0.459387 + 0.265227i −0.711786 0.702396i \(-0.752114\pi\)
0.252400 + 0.967623i \(0.418780\pi\)
\(158\) −0.203128 0.117276i −0.0161600 0.00932996i
\(159\) −3.00540 + 23.3073i −0.238343 + 1.84839i
\(160\) 1.25151 + 0.722557i 0.0989402 + 0.0571232i
\(161\) −10.0266 + 0.0248776i −0.790206 + 0.00196063i
\(162\) 0.231150 + 0.390701i 0.0181608 + 0.0306964i
\(163\) −9.68893 16.7817i −0.758896 1.31445i −0.943414 0.331617i \(-0.892406\pi\)
0.184519 0.982829i \(-0.440927\pi\)
\(164\) 1.45153 + 2.51413i 0.113346 + 0.196320i
\(165\) −1.74734 + 13.5509i −0.136031 + 1.05494i
\(166\) 0.820731i 0.0637011i
\(167\) 8.60942 + 14.9119i 0.666217 + 1.15392i 0.978954 + 0.204081i \(0.0654207\pi\)
−0.312737 + 0.949840i \(0.601246\pi\)
\(168\) −0.558711 + 0.735931i −0.0431055 + 0.0567783i
\(169\) 8.25696 10.0410i 0.635150 0.772388i
\(170\) 0.663376 + 0.383000i 0.0508786 + 0.0293748i
\(171\) 10.6133 + 10.5009i 0.811619 + 0.803027i
\(172\) −0.437591 + 0.757929i −0.0333660 + 0.0577916i
\(173\) −0.520101 0.900841i −0.0395425 0.0684897i 0.845577 0.533854i \(-0.179257\pi\)
−0.885119 + 0.465364i \(0.845923\pi\)
\(174\) −0.215641 0.0278062i −0.0163477 0.00210798i
\(175\) 1.64659 0.956113i 0.124470 0.0722753i
\(176\) −11.3824 6.57164i −0.857981 0.495356i
\(177\) −2.97936 + 3.90424i −0.223942 + 0.293460i
\(178\) 0.256984i 0.0192618i
\(179\) 2.71634 + 1.56828i 0.203029 + 0.117219i 0.598067 0.801446i \(-0.295935\pi\)
−0.395039 + 0.918665i \(0.629269\pi\)
\(180\) 13.8625 + 3.63548i 1.03325 + 0.270973i
\(181\) 20.8722i 1.55142i −0.631091 0.775709i \(-0.717393\pi\)
0.631091 0.775709i \(-0.282607\pi\)
\(182\) −0.434557 + 0.206590i −0.0322115 + 0.0153135i
\(183\) −0.631046 + 4.89386i −0.0466483 + 0.361764i
\(184\) 0.764120 0.0563317
\(185\) −6.27326 + 10.8656i −0.461219 + 0.798855i
\(186\) 0.441170 + 0.0568874i 0.0323481 + 0.00417119i
\(187\) −18.1387 10.4724i −1.32643 0.765815i
\(188\) 4.31818 7.47931i 0.314936 0.545485i
\(189\) −5.12785 + 12.7556i −0.372996 + 0.927833i
\(190\) −0.600348 −0.0435538
\(191\) −21.0162 + 12.1337i −1.52068 + 0.877966i −0.520979 + 0.853569i \(0.674433\pi\)
−0.999702 + 0.0243967i \(0.992234\pi\)
\(192\) −8.34188 + 10.9314i −0.602023 + 0.788909i
\(193\) −0.774391 + 1.34128i −0.0557419 + 0.0965478i −0.892550 0.450949i \(-0.851086\pi\)
0.836808 + 0.547497i \(0.184419\pi\)
\(194\) 0.321940 0.557617i 0.0231140 0.0400346i
\(195\) 11.0882 + 10.0060i 0.794040 + 0.716543i
\(196\) −13.9820 + 0.0693838i −0.998716 + 0.00495598i
\(197\) 18.2395 10.5306i 1.29951 0.750273i 0.319191 0.947690i \(-0.396589\pi\)
0.980319 + 0.197418i \(0.0632555\pi\)
\(198\) 0.482785 + 0.126612i 0.0343100 + 0.00899794i
\(199\) 20.0628i 1.42221i −0.703085 0.711106i \(-0.748195\pi\)
0.703085 0.711106i \(-0.251805\pi\)
\(200\) −0.125666 + 0.0725530i −0.00888589 + 0.00513027i
\(201\) −0.959956 2.30021i −0.0677101 0.162244i
\(202\) −0.672766 0.388422i −0.0473357 0.0273293i
\(203\) −3.30643 5.69423i −0.232066 0.399656i
\(204\) −13.3274 + 17.4647i −0.933107 + 1.22277i
\(205\) −3.47588 −0.242766
\(206\) −0.243315 + 0.421435i −0.0169526 + 0.0293628i
\(207\) 10.9659 3.00094i 0.762183 0.208580i
\(208\) −12.9908 + 6.13640i −0.900749 + 0.425483i
\(209\) 16.4153 1.13547
\(210\) −0.214170 0.509626i −0.0147792 0.0351675i
\(211\) −9.09366 15.7507i −0.626033 1.08432i −0.988340 0.152263i \(-0.951344\pi\)
0.362307 0.932059i \(-0.381989\pi\)
\(212\) 23.4704 13.5506i 1.61195 0.930660i
\(213\) −9.49491 + 3.96255i −0.650581 + 0.271510i
\(214\) 0.807008 0.0551659
\(215\) −0.523933 0.907479i −0.0357320 0.0618896i
\(216\) 0.393200 0.971121i 0.0267539 0.0660764i
\(217\) 6.76446 + 11.6495i 0.459202 + 0.790823i
\(218\) −0.117146 + 0.0676341i −0.00793410 + 0.00458076i
\(219\) −1.22686 + 9.51450i −0.0829037 + 0.642930i
\(220\) 13.6457 7.87836i 0.919994 0.531159i
\(221\) −20.7017 + 9.77879i −1.39255 + 0.657792i
\(222\) 0.364353 + 0.278041i 0.0244538 + 0.0186609i
\(223\) −21.7090 + 12.5337i −1.45374 + 0.839320i −0.998691 0.0511442i \(-0.983713\pi\)
−0.455053 + 0.890464i \(0.650380\pi\)
\(224\) 1.59869 0.00396661i 0.106817 0.000265031i
\(225\) −1.51849 + 1.53474i −0.101233 + 0.102316i
\(226\) 0.0463076 0.0802072i 0.00308034 0.00533530i
\(227\) −5.62046 −0.373043 −0.186522 0.982451i \(-0.559721\pi\)
−0.186522 + 0.982451i \(0.559721\pi\)
\(228\) 2.20197 17.0766i 0.145829 1.13093i
\(229\) −12.7089 7.33749i −0.839828 0.484875i 0.0173777 0.999849i \(-0.494468\pi\)
−0.857206 + 0.514974i \(0.827802\pi\)
\(230\) −0.228577 + 0.395908i −0.0150720 + 0.0261054i
\(231\) 5.85605 + 13.9347i 0.385300 + 0.916834i
\(232\) 0.250903 + 0.434576i 0.0164726 + 0.0285313i
\(233\) −12.2033 7.04557i −0.799464 0.461571i 0.0438198 0.999039i \(-0.486047\pi\)
−0.843284 + 0.537469i \(0.819381\pi\)
\(234\) 0.414316 0.354978i 0.0270847 0.0232056i
\(235\) 5.17022 + 8.95509i 0.337268 + 0.584165i
\(236\) 5.66372 0.368677
\(237\) 3.10202 + 7.43295i 0.201498 + 0.482822i
\(238\) 0.847406 0.00210255i 0.0549292 0.000136288i
\(239\) 23.9806i 1.55117i −0.631241 0.775587i \(-0.717454\pi\)
0.631241 0.775587i \(-0.282546\pi\)
\(240\) −6.35718 15.2328i −0.410354 0.983276i
\(241\) 15.5732i 1.00316i 0.865112 + 0.501578i \(0.167247\pi\)
−0.865112 + 0.501578i \(0.832753\pi\)
\(242\) −0.00526615 + 0.00304042i −0.000338521 + 0.000195445i
\(243\) 1.82893 15.4808i 0.117326 0.993093i
\(244\) 4.92810 2.84524i 0.315489 0.182148i
\(245\) 8.29849 14.5396i 0.530171 0.928898i
\(246\) −0.0162384 + 0.125931i −0.00103532 + 0.00802905i
\(247\) 10.2191 14.7497i 0.650226 0.938501i
\(248\) −0.513310 0.889079i −0.0325952 0.0564566i
\(249\) 17.0972 22.4047i 1.08349 1.41984i
\(250\) 0.516340i 0.0326562i
\(251\) 5.82685 10.0924i 0.367788 0.637027i −0.621432 0.783468i \(-0.713449\pi\)
0.989219 + 0.146441i \(0.0467820\pi\)
\(252\) 15.2816 4.22276i 0.962651 0.266009i
\(253\) 6.24998 10.8253i 0.392933 0.680580i
\(254\) 0.205745 0.118787i 0.0129096 0.00745337i
\(255\) −10.1306 24.2746i −0.634404 1.52013i
\(256\) 15.7969 0.987303
\(257\) −0.0170368 −0.00106273 −0.000531363 1.00000i \(-0.500169\pi\)
−0.000531363 1.00000i \(0.500169\pi\)
\(258\) −0.0353256 + 0.0147426i −0.00219927 + 0.000917832i
\(259\) 0.0344383 + 13.8799i 0.00213989 + 0.862454i
\(260\) 1.41597 17.1657i 0.0878150 1.06457i
\(261\) 5.30743 + 5.25124i 0.328521 + 0.325044i
\(262\) 0.710926 + 0.410453i 0.0439211 + 0.0253579i
\(263\) 9.56050 + 5.51976i 0.589526 + 0.340363i 0.764910 0.644137i \(-0.222783\pi\)
−0.175384 + 0.984500i \(0.556117\pi\)
\(264\) −0.443649 1.06305i −0.0273047 0.0654264i
\(265\) 32.4487i 1.99331i
\(266\) −0.574346 + 0.333502i −0.0352154 + 0.0204483i
\(267\) 5.35343 7.01529i 0.327624 0.429329i
\(268\) −1.43721 + 2.48931i −0.0877914 + 0.152059i
\(269\) 15.0187 0.915703 0.457852 0.889029i \(-0.348619\pi\)
0.457852 + 0.889029i \(0.348619\pi\)
\(270\) 0.385538 + 0.494225i 0.0234631 + 0.0300776i
\(271\) 13.2624i 0.805634i −0.915280 0.402817i \(-0.868031\pi\)
0.915280 0.402817i \(-0.131969\pi\)
\(272\) 25.3030 1.53422
\(273\) 16.1664 + 3.41297i 0.978433 + 0.206562i
\(274\) −0.447648 −0.0270434
\(275\) 2.37374i 0.143142i
\(276\) −10.4230 7.95390i −0.627393 0.478769i
\(277\) −23.0286 −1.38365 −0.691826 0.722064i \(-0.743194\pi\)
−0.691826 + 0.722064i \(0.743194\pi\)
\(278\) 0.137060 0.237394i 0.00822028 0.0142379i
\(279\) −10.8582 10.7433i −0.650064 0.643182i
\(280\) −0.635168 + 1.10647i −0.0379586 + 0.0661245i
\(281\) 11.1312i 0.664031i −0.943274 0.332016i \(-0.892271\pi\)
0.943274 0.332016i \(-0.107729\pi\)
\(282\) 0.348596 0.145481i 0.0207586 0.00866326i
\(283\) 18.7447 + 10.8223i 1.11426 + 0.643317i 0.939929 0.341371i \(-0.110891\pi\)
0.174328 + 0.984688i \(0.444225\pi\)
\(284\) 10.2755 + 5.93257i 0.609739 + 0.352033i
\(285\) 16.3886 + 12.5063i 0.970777 + 0.740808i
\(286\) 0.0493139 0.597826i 0.00291599 0.0353502i
\(287\) −3.32533 + 1.93090i −0.196288 + 0.113977i
\(288\) −1.74846 + 0.478485i −0.103029 + 0.0281950i
\(289\) 23.3221 1.37189
\(290\) −0.300218 −0.0176294
\(291\) −20.4046 + 8.51554i −1.19614 + 0.499190i
\(292\) 9.58107 5.53163i 0.560690 0.323714i
\(293\) −2.12989 + 3.68908i −0.124430 + 0.215519i −0.921510 0.388355i \(-0.873043\pi\)
0.797080 + 0.603874i \(0.206377\pi\)
\(294\) −0.487998 0.368578i −0.0284606 0.0214959i
\(295\) −3.39063 + 5.87274i −0.197410 + 0.341924i
\(296\) 1.05778i 0.0614821i
\(297\) −10.5418 13.5136i −0.611695 0.784136i
\(298\) −0.0937191 0.162326i −0.00542900 0.00940331i
\(299\) −5.83605 12.3550i −0.337508 0.714505i
\(300\) 2.46937 + 0.318417i 0.142569 + 0.0183838i
\(301\) −1.00536 0.577123i −0.0579479 0.0332648i
\(302\) 0.843037 0.486728i 0.0485113 0.0280080i
\(303\) 10.2740 + 24.6182i 0.590227 + 1.41428i
\(304\) −17.1742 + 9.91552i −0.985007 + 0.568694i
\(305\) 6.81329i 0.390128i
\(306\) −0.926794 + 0.253627i −0.0529813 + 0.0144989i
\(307\) 23.3540i 1.33288i −0.745557 0.666441i \(-0.767817\pi\)
0.745557 0.666441i \(-0.232183\pi\)
\(308\) 8.67816 15.1175i 0.494484 0.861401i
\(309\) 15.4214 6.43586i 0.877290 0.366123i
\(310\) 0.614202 0.0348843
\(311\) −10.9226 18.9184i −0.619362 1.07277i −0.989602 0.143830i \(-0.954058\pi\)
0.370241 0.928936i \(-0.379275\pi\)
\(312\) −1.23138 0.263156i −0.0697130 0.0148983i
\(313\) 11.2662 + 6.50456i 0.636804 + 0.367659i 0.783383 0.621540i \(-0.213493\pi\)
−0.146578 + 0.989199i \(0.546826\pi\)
\(314\) 0.167626 + 0.290336i 0.00945966 + 0.0163846i
\(315\) −4.76984 + 18.3736i −0.268750 + 1.03523i
\(316\) 4.64422 8.04403i 0.261258 0.452512i
\(317\) 18.4310 + 10.6412i 1.03519 + 0.597667i 0.918467 0.395497i \(-0.129428\pi\)
0.116723 + 0.993165i \(0.462761\pi\)
\(318\) 1.17561 + 0.151591i 0.0659251 + 0.00850082i
\(319\) 8.20885 0.459607
\(320\) −9.49339 + 16.4430i −0.530697 + 0.919193i
\(321\) −22.0301 16.8114i −1.22960 0.938319i
\(322\) 0.00125482 + 0.505738i 6.99283e−5 + 0.0281837i
\(323\) −27.3683 + 15.8011i −1.52281 + 0.879195i
\(324\) −15.4721 + 9.15373i −0.859560 + 0.508540i
\(325\) 2.13288 + 1.47774i 0.118311 + 0.0819700i
\(326\) −0.846465 + 0.488707i −0.0468814 + 0.0270670i
\(327\) 4.60683 + 0.594036i 0.254758 + 0.0328503i
\(328\) 0.253785 0.146523i 0.0140129 0.00809038i
\(329\) 9.92097 + 5.69510i 0.546961 + 0.313981i
\(330\) 0.683504 + 0.0881356i 0.0376257 + 0.00485170i
\(331\) 3.39537 + 5.88095i 0.186626 + 0.323246i 0.944123 0.329592i \(-0.106911\pi\)
−0.757497 + 0.652839i \(0.773578\pi\)
\(332\) −32.5016 −1.78376
\(333\) −4.15422 15.1802i −0.227650 0.831870i
\(334\) 0.752154 0.434257i 0.0411561 0.0237615i
\(335\) −1.72079 2.98049i −0.0940167 0.162842i
\(336\) −14.5439 11.0416i −0.793435 0.602368i
\(337\) −27.2006 −1.48171 −0.740854 0.671666i \(-0.765579\pi\)
−0.740854 + 0.671666i \(0.765579\pi\)
\(338\) −0.506468 0.416479i −0.0275482 0.0226534i
\(339\) −2.93498 + 1.22487i −0.159406 + 0.0665257i
\(340\) −15.1671 + 26.2703i −0.822554 + 1.42471i
\(341\) −16.7941 −0.909451
\(342\) 0.529664 0.535332i 0.0286410 0.0289474i
\(343\) −0.137854 18.5197i −0.00744340 0.999972i
\(344\) 0.0765082 + 0.0441720i 0.00412505 + 0.00238160i
\(345\) 14.4873 6.04603i 0.779968 0.325507i
\(346\) −0.0454382 + 0.0262337i −0.00244277 + 0.00141033i
\(347\) 26.4068i 1.41759i 0.705413 + 0.708796i \(0.250761\pi\)
−0.705413 + 0.708796i \(0.749239\pi\)
\(348\) 1.10115 8.53957i 0.0590278 0.457769i
\(349\) −5.26120 + 3.03756i −0.281626 + 0.162597i −0.634159 0.773203i \(-0.718654\pi\)
0.352533 + 0.935799i \(0.385320\pi\)
\(350\) −0.0482261 0.0830534i −0.00257779 0.00443939i
\(351\) −18.7050 + 1.05945i −0.998400 + 0.0565491i
\(352\) −0.996530 + 1.72604i −0.0531152 + 0.0919983i
\(353\) −12.6092 + 21.8397i −0.671118 + 1.16241i 0.306469 + 0.951881i \(0.400852\pi\)
−0.977587 + 0.210530i \(0.932481\pi\)
\(354\) 0.196929 + 0.150278i 0.0104666 + 0.00798718i
\(355\) −12.3030 + 7.10315i −0.652976 + 0.376996i
\(356\) −10.1768 −0.539369
\(357\) −23.1767 17.5955i −1.22664 0.931254i
\(358\) 0.0791036 0.137011i 0.00418076 0.00724128i
\(359\) 11.9864 + 6.92033i 0.632616 + 0.365241i 0.781764 0.623574i \(-0.214320\pi\)
−0.149149 + 0.988815i \(0.547653\pi\)
\(360\) 0.366979 1.39933i 0.0193415 0.0737510i
\(361\) 2.88398 4.99520i 0.151789 0.262905i
\(362\) −1.05279 −0.0553333
\(363\) 0.207095 + 0.0267042i 0.0108697 + 0.00140161i
\(364\) −8.18114 17.2088i −0.428808 0.901987i
\(365\) 13.2462i 0.693338i
\(366\) 0.246845 + 0.0318298i 0.0129028 + 0.00166377i
\(367\) 17.1610 + 9.90789i 0.895795 + 0.517188i 0.875834 0.482613i \(-0.160312\pi\)
0.0199617 + 0.999801i \(0.493646\pi\)
\(368\) 15.1010i 0.787194i
\(369\) 3.06664 3.09945i 0.159643 0.161351i
\(370\) 0.548058 + 0.316422i 0.0284922 + 0.0164500i
\(371\) 18.0257 + 31.0433i 0.935847 + 1.61169i
\(372\) −2.25279 + 17.4707i −0.116802 + 0.905813i
\(373\) 8.78317 + 15.2129i 0.454775 + 0.787694i 0.998675 0.0514563i \(-0.0163863\pi\)
−0.543900 + 0.839150i \(0.683053\pi\)
\(374\) −0.528223 + 0.914909i −0.0273138 + 0.0473088i
\(375\) 10.7563 14.0953i 0.555450 0.727879i
\(376\) −0.754990 0.435893i −0.0389356 0.0224795i
\(377\) 5.11030 7.37593i 0.263194 0.379880i
\(378\) 0.643389 + 0.258647i 0.0330923 + 0.0133034i
\(379\) 9.24290 + 16.0092i 0.474776 + 0.822336i 0.999583 0.0288853i \(-0.00919576\pi\)
−0.524807 + 0.851221i \(0.675862\pi\)
\(380\) 23.7743i 1.21960i
\(381\) −8.09108 1.04332i −0.414519 0.0534508i
\(382\) 0.612022 + 1.06005i 0.0313138 + 0.0542370i
\(383\) −1.58258 2.74110i −0.0808659 0.140064i 0.822756 0.568394i \(-0.192435\pi\)
−0.903622 + 0.428331i \(0.859102\pi\)
\(384\) 2.21540 + 1.69059i 0.113054 + 0.0862725i
\(385\) 10.4802 + 18.0486i 0.534119 + 0.919843i
\(386\) 0.0676540 + 0.0390601i 0.00344350 + 0.00198811i
\(387\) 1.27145 + 0.333442i 0.0646313 + 0.0169498i
\(388\) 22.0821 + 12.7491i 1.12105 + 0.647238i
\(389\) −13.6079 + 7.85653i −0.689949 + 0.398342i −0.803593 0.595179i \(-0.797081\pi\)
0.113644 + 0.993522i \(0.463748\pi\)
\(390\) 0.504698 0.559284i 0.0255564 0.0283204i
\(391\) 24.0645i 1.21699i
\(392\) 0.00700385 + 1.41140i 0.000353748 + 0.0712863i
\(393\) −10.8568 26.0146i −0.547651 1.31226i
\(394\) −0.531159 0.919995i −0.0267594 0.0463487i
\(395\) 5.56059 + 9.63122i 0.279784 + 0.484599i
\(396\) −5.01395 + 19.1187i −0.251961 + 0.960750i
\(397\) 15.0351 8.68055i 0.754593 0.435664i −0.0727584 0.997350i \(-0.523180\pi\)
0.827351 + 0.561685i \(0.189847\pi\)
\(398\) −1.01196 −0.0507250
\(399\) 22.6262 + 2.86052i 1.13273 + 0.143205i
\(400\) −1.43384 2.48348i −0.0716918 0.124174i
\(401\) 6.92669i 0.345902i −0.984930 0.172951i \(-0.944670\pi\)
0.984930 0.172951i \(-0.0553303\pi\)
\(402\) −0.116022 + 0.0484199i −0.00578665 + 0.00241497i
\(403\) −10.4549 + 15.0901i −0.520797 + 0.751690i
\(404\) 15.3818 26.6421i 0.765275 1.32550i
\(405\) −0.229068 21.5230i −0.0113825 1.06949i
\(406\) −0.287215 + 0.166775i −0.0142543 + 0.00827692i
\(407\) −14.9855 8.65190i −0.742805 0.428859i
\(408\) 1.76295 + 1.34532i 0.0872789 + 0.0666032i
\(409\) 3.78042i 0.186930i 0.995623 + 0.0934648i \(0.0297943\pi\)
−0.995623 + 0.0934648i \(0.970206\pi\)
\(410\) 0.175322i 0.00865856i
\(411\) 12.2201 + 9.32528i 0.602774 + 0.459982i
\(412\) −16.6892 9.63550i −0.822217 0.474707i
\(413\) 0.0186135 + 7.50192i 0.000915910 + 0.369145i
\(414\) −0.151367 0.553117i −0.00743926 0.0271842i
\(415\) 19.4573 33.7011i 0.955123 1.65432i
\(416\) 0.930530 + 1.96994i 0.0456230 + 0.0965841i
\(417\) −8.68685 + 3.62532i −0.425397 + 0.177533i
\(418\) 0.827983i 0.0404980i
\(419\) −12.6236 21.8647i −0.616703 1.06816i −0.990083 0.140483i \(-0.955135\pi\)
0.373380 0.927678i \(-0.378199\pi\)
\(420\) 20.1816 8.48133i 0.984761 0.413846i
\(421\) 18.4740 0.900367 0.450184 0.892936i \(-0.351358\pi\)
0.450184 + 0.892936i \(0.351358\pi\)
\(422\) −0.794460 + 0.458682i −0.0386737 + 0.0223283i
\(423\) −12.5468 3.29044i −0.610044 0.159987i
\(424\) −1.36785 2.36918i −0.0664286 0.115058i
\(425\) −2.28492 3.95759i −0.110835 0.191971i
\(426\) 0.199870 + 0.478921i 0.00968373 + 0.0232038i
\(427\) 3.78487 + 6.51819i 0.183163 + 0.315437i
\(428\) 31.9582i 1.54476i
\(429\) −13.7999 + 15.2925i −0.666268 + 0.738328i
\(430\) −0.0457730 + 0.0264271i −0.00220737 + 0.00127443i
\(431\) −26.5875 15.3503i −1.28067 0.739397i −0.303701 0.952767i \(-0.598222\pi\)
−0.976971 + 0.213371i \(0.931556\pi\)
\(432\) 19.1919 + 7.77065i 0.923369 + 0.373865i
\(433\) −5.40561 3.12093i −0.259777 0.149982i 0.364456 0.931221i \(-0.381255\pi\)
−0.624233 + 0.781238i \(0.714588\pi\)
\(434\) 0.587600 0.341198i 0.0282057 0.0163780i
\(435\) 8.19550 + 6.25406i 0.392944 + 0.299859i
\(436\) −2.67837 4.63907i −0.128270 0.222171i
\(437\) −9.43019 16.3336i −0.451107 0.781341i
\(438\) 0.479909 + 0.0618826i 0.0229309 + 0.00295687i
\(439\) 5.95015i 0.283985i −0.989868 0.141993i \(-0.954649\pi\)
0.989868 0.141993i \(-0.0453509\pi\)
\(440\) −0.795271 1.37745i −0.0379130 0.0656673i
\(441\) 5.64351 + 20.2275i 0.268738 + 0.963213i
\(442\) 0.493239 + 1.04419i 0.0234610 + 0.0496671i
\(443\) 6.56417 + 3.78983i 0.311873 + 0.180060i 0.647764 0.761841i \(-0.275704\pi\)
−0.335891 + 0.941901i \(0.609037\pi\)
\(444\) −11.0107 + 14.4287i −0.522542 + 0.684755i
\(445\) 6.09241 10.5524i 0.288808 0.500230i
\(446\) 0.632197 + 1.09500i 0.0299354 + 0.0518497i
\(447\) −0.823143 + 6.38359i −0.0389333 + 0.301934i
\(448\) 0.0521158 + 21.0046i 0.00246224 + 0.992373i
\(449\) 31.9151 + 18.4262i 1.50617 + 0.869586i 0.999974 + 0.00716492i \(0.00228069\pi\)
0.506192 + 0.862421i \(0.331053\pi\)
\(450\) 0.0774117 + 0.0765922i 0.00364922 + 0.00361059i
\(451\) 4.79383i 0.225733i
\(452\) 3.17627 + 1.83382i 0.149399 + 0.0862557i
\(453\) −33.1530 4.27497i −1.55766 0.200856i
\(454\) 0.283495i 0.0133051i
\(455\) 22.7416 + 1.81912i 1.06614 + 0.0852818i
\(456\) −1.72378 0.222275i −0.0807233 0.0104090i
\(457\) −15.2305 −0.712451 −0.356226 0.934400i \(-0.615937\pi\)
−0.356226 + 0.934400i \(0.615937\pi\)
\(458\) −0.370101 + 0.641034i −0.0172937 + 0.0299535i
\(459\) 30.5836 + 12.3831i 1.42752 + 0.577992i
\(460\) −15.6783 9.05186i −0.731004 0.422045i
\(461\) 6.56203 11.3658i 0.305624 0.529356i −0.671776 0.740754i \(-0.734468\pi\)
0.977400 + 0.211398i \(0.0678016\pi\)
\(462\) 0.702861 0.295378i 0.0327000 0.0137422i
\(463\) −4.01885 −0.186772 −0.0933859 0.995630i \(-0.529769\pi\)
−0.0933859 + 0.995630i \(0.529769\pi\)
\(464\) −8.58835 + 4.95849i −0.398704 + 0.230192i
\(465\) −16.7668 12.7949i −0.777541 0.593348i
\(466\) −0.355377 + 0.615530i −0.0164625 + 0.0285139i
\(467\) 3.22927 5.59327i 0.149433 0.258825i −0.781585 0.623799i \(-0.785589\pi\)
0.931018 + 0.364973i \(0.118922\pi\)
\(468\) 14.0574 + 16.4073i 0.649805 + 0.758427i
\(469\) −3.30196 1.89548i −0.152470 0.0875251i
\(470\) 0.451692 0.260785i 0.0208350 0.0120291i
\(471\) 1.47227 11.4177i 0.0678387 0.526098i
\(472\) 0.571717i 0.0263154i
\(473\) 1.25157 0.722594i 0.0575472 0.0332249i
\(474\) 0.374916 0.156465i 0.0172205 0.00718668i
\(475\) 3.10174 + 1.79079i 0.142317 + 0.0821670i
\(476\) 0.0832629 + 33.5580i 0.00381635 + 1.53813i
\(477\) −28.9346 28.6282i −1.32482 1.31080i
\(478\) −1.20957 −0.0553246
\(479\) 12.0197 20.8188i 0.549195 0.951233i −0.449135 0.893464i \(-0.648268\pi\)
0.998330 0.0577693i \(-0.0183988\pi\)
\(480\) −2.30992 + 0.964010i −0.105433 + 0.0440008i
\(481\) −17.1031 + 8.07889i −0.779832 + 0.368366i
\(482\) 0.785506 0.0357788
\(483\) 10.5011 13.8320i 0.477818 0.629380i
\(484\) −0.120403 0.208544i −0.00547286 0.00947928i
\(485\) −26.4392 + 15.2647i −1.20054 + 0.693134i
\(486\) −0.780847 0.0922506i −0.0354199 0.00418457i
\(487\) 11.1262 0.504177 0.252088 0.967704i \(-0.418883\pi\)
0.252088 + 0.967704i \(0.418883\pi\)
\(488\) −0.287209 0.497460i −0.0130013 0.0225190i
\(489\) 33.2878 + 4.29236i 1.50533 + 0.194107i
\(490\) −0.733371 0.418573i −0.0331303 0.0189092i
\(491\) −0.596057 + 0.344134i −0.0268997 + 0.0155305i −0.513390 0.858156i \(-0.671610\pi\)
0.486490 + 0.873686i \(0.338277\pi\)
\(492\) −4.98697 0.643053i −0.224830 0.0289911i
\(493\) −13.6861 + 7.90170i −0.616393 + 0.355875i
\(494\) −0.743970 0.515449i −0.0334728 0.0231911i
\(495\) −16.8226 16.6445i −0.756120 0.748116i
\(496\) 17.5705 10.1443i 0.788939 0.455494i
\(497\) −7.82425 + 13.6300i −0.350966 + 0.611389i
\(498\) −1.13009 0.862379i −0.0506404 0.0386441i
\(499\) 7.85879 13.6118i 0.351808 0.609349i −0.634759 0.772711i \(-0.718900\pi\)
0.986566 + 0.163362i \(0.0522338\pi\)
\(500\) −20.4475 −0.914440
\(501\) −29.5790 3.81411i −1.32149 0.170402i
\(502\) −0.509058 0.293905i −0.0227204 0.0131176i
\(503\) 4.12748 7.14901i 0.184035 0.318758i −0.759216 0.650839i \(-0.774417\pi\)
0.943251 + 0.332081i \(0.107751\pi\)
\(504\) −0.426261 1.54258i −0.0189872 0.0687121i
\(505\) 18.4169 + 31.8990i 0.819541 + 1.41949i
\(506\) −0.546025 0.315247i −0.0242738 0.0140145i
\(507\) 5.14985 + 21.9198i 0.228713 + 0.973494i
\(508\) 4.70407 + 8.14769i 0.208709 + 0.361495i
\(509\) 8.21856 0.364281 0.182141 0.983273i \(-0.441697\pi\)
0.182141 + 0.983273i \(0.441697\pi\)
\(510\) −1.22440 + 0.510986i −0.0542175 + 0.0226268i
\(511\) 7.35845 + 12.6725i 0.325519 + 0.560598i
\(512\) 4.01467i 0.177425i
\(513\) −25.6109 + 3.57993i −1.13075 + 0.158058i
\(514\) 0 0.000859331i 0 3.79035e-5i
\(515\) 19.9822 11.5367i 0.880520 0.508369i
\(516\) −0.583818 1.39892i −0.0257012 0.0615841i
\(517\) −12.3506 + 7.13062i −0.543179 + 0.313604i
\(518\) 0.700097 0.00173706i 0.0307605 7.63218e-5i
\(519\) 1.78689 + 0.230413i 0.0784357 + 0.0101140i
\(520\) −1.73277 0.142934i −0.0759870 0.00626806i
\(521\) −16.9788 29.4082i −0.743856 1.28840i −0.950727 0.310028i \(-0.899661\pi\)
0.206871 0.978368i \(-0.433672\pi\)
\(522\) 0.264871 0.267705i 0.0115931 0.0117171i
\(523\) 25.7982i 1.12807i 0.825749 + 0.564037i \(0.190753\pi\)
−0.825749 + 0.564037i \(0.809247\pi\)
\(524\) −16.2543 + 28.1533i −0.710072 + 1.22988i
\(525\) −0.413646 + 3.27187i −0.0180530 + 0.142796i
\(526\) 0.278415 0.482229i 0.0121395 0.0210262i
\(527\) 27.9998 16.1657i 1.21969 0.704189i
\(528\) 21.0087 8.76764i 0.914286 0.381563i
\(529\) 8.63813 0.375571
\(530\) 1.63670 0.0710938
\(531\) −2.24531 8.20472i −0.0974382 0.356055i
\(532\) −13.2069 22.7446i −0.572594 0.986103i
\(533\) −4.30742 2.98433i −0.186575 0.129266i
\(534\) −0.353849 0.270025i −0.0153126 0.0116851i
\(535\) −33.1376 19.1320i −1.43266 0.827148i
\(536\) 0.251281 + 0.145077i 0.0108537 + 0.00626637i
\(537\) −5.01359 + 2.09234i −0.216353 + 0.0902913i
\(538\) 0.757537i 0.0326597i
\(539\) 20.0525 + 11.4450i 0.863724 + 0.492973i
\(540\) −19.5717 + 15.2676i −0.842233 + 0.657015i
\(541\) −6.70147 + 11.6073i −0.288119 + 0.499036i −0.973361 0.229279i \(-0.926363\pi\)
0.685242 + 0.728315i \(0.259696\pi\)
\(542\) −0.668952 −0.0287340
\(543\) 28.7395 + 21.9314i 1.23333 + 0.941165i
\(544\) 3.83697i 0.164509i
\(545\) 6.41369 0.274732
\(546\) 0.172149 0.815427i 0.00736731 0.0348971i
\(547\) 27.6554 1.18246 0.591230 0.806503i \(-0.298642\pi\)
0.591230 + 0.806503i \(0.298642\pi\)
\(548\) 17.7272i 0.757271i
\(549\) −6.07542 6.01110i −0.259293 0.256548i
\(550\) 0.119731 0.00510533
\(551\) 6.19290 10.7264i 0.263826 0.456961i
\(552\) −0.802896 + 1.05214i −0.0341735 + 0.0447820i
\(553\) 10.6700 + 6.12510i 0.453736 + 0.260466i
\(554\) 1.16155i 0.0493497i
\(555\) −8.36956 20.0548i −0.355268 0.851280i
\(556\) 9.40101 + 5.42767i 0.398691 + 0.230185i
\(557\) 12.0281 + 6.94444i 0.509648 + 0.294245i 0.732689 0.680564i \(-0.238265\pi\)
−0.223041 + 0.974809i \(0.571598\pi\)
\(558\) −0.541887 + 0.547685i −0.0229399 + 0.0231854i
\(559\) 0.129872 1.57442i 0.00549298 0.0665908i
\(560\) −21.8668 12.5526i −0.924041 0.530443i
\(561\) 33.4788 13.9719i 1.41348 0.589892i
\(562\) −0.561454 −0.0236835
\(563\) −11.6814 −0.492312 −0.246156 0.969230i \(-0.579168\pi\)
−0.246156 + 0.969230i \(0.579168\pi\)
\(564\) 5.76117 + 13.8047i 0.242589 + 0.581282i
\(565\) −3.80300 + 2.19566i −0.159993 + 0.0923721i
\(566\) 0.545872 0.945478i 0.0229447 0.0397414i
\(567\) −12.1755 20.4636i −0.511322 0.859389i
\(568\) 0.598855 1.03725i 0.0251274 0.0435220i
\(569\) 14.4187i 0.604465i 0.953234 + 0.302233i \(0.0977320\pi\)
−0.953234 + 0.302233i \(0.902268\pi\)
\(570\) 0.630813 0.826636i 0.0264219 0.0346240i
\(571\) −1.58864 2.75161i −0.0664827 0.115151i 0.830868 0.556469i \(-0.187844\pi\)
−0.897351 + 0.441318i \(0.854511\pi\)
\(572\) 23.6744 + 1.95287i 0.989878 + 0.0816536i
\(573\) 5.37544 41.6873i 0.224562 1.74151i
\(574\) 0.0973940 + 0.167729i 0.00406515 + 0.00700087i
\(575\) 2.36192 1.36366i 0.0984989 0.0568684i
\(576\) −6.28663 22.9723i −0.261943 0.957181i
\(577\) 28.1688 16.2633i 1.17268 0.677048i 0.218371 0.975866i \(-0.429926\pi\)
0.954310 + 0.298818i \(0.0965922\pi\)
\(578\) 1.17636i 0.0489301i
\(579\) −1.03317 2.47563i −0.0429369 0.102884i
\(580\) 11.8889i 0.493659i
\(581\) −0.106815 43.0502i −0.00443142 1.78603i
\(582\) 0.429521 + 1.02920i 0.0178042 + 0.0426618i
\(583\) −44.7523 −1.85345
\(584\) −0.558383 0.967148i −0.0231061 0.0400209i
\(585\) −25.4284 + 4.75388i −1.05133 + 0.196549i
\(586\) 0.186076 + 0.107431i 0.00768674 + 0.00443794i
\(587\) −15.9879 27.6918i −0.659890 1.14296i −0.980644 0.195800i \(-0.937270\pi\)
0.320754 0.947163i \(-0.396064\pi\)
\(588\) 14.5960 19.3251i 0.601929 0.796956i
\(589\) −12.6698 + 21.9447i −0.522048 + 0.904214i
\(590\) 0.296219 + 0.171022i 0.0121952 + 0.00704087i
\(591\) −4.66522 + 36.1795i −0.191902 + 1.48822i
\(592\) 20.9044 0.859167
\(593\) 9.25724 16.0340i 0.380149 0.658438i −0.610934 0.791681i \(-0.709206\pi\)
0.991083 + 0.133244i \(0.0425393\pi\)
\(594\) −0.681620 + 0.531723i −0.0279672 + 0.0218169i
\(595\) −34.8463 20.0034i −1.42856 0.820060i
\(596\) 6.42826 3.71136i 0.263312 0.152023i
\(597\) 27.6250 + 21.0809i 1.13062 + 0.862782i
\(598\) −0.623180 + 0.294369i −0.0254837 + 0.0120376i
\(599\) 17.5513 10.1332i 0.717125 0.414033i −0.0965683 0.995326i \(-0.530787\pi\)
0.813694 + 0.581294i \(0.197453\pi\)
\(600\) 0.0321422 0.249267i 0.00131220 0.0101763i
\(601\) 28.7369 16.5912i 1.17220 0.676771i 0.218004 0.975948i \(-0.430045\pi\)
0.954198 + 0.299177i \(0.0967120\pi\)
\(602\) −0.0291099 + 0.0507100i −0.00118643 + 0.00206679i
\(603\) 4.17590 + 1.09515i 0.170056 + 0.0445978i
\(604\) 19.2748 + 33.3850i 0.784282 + 1.35842i
\(605\) 0.288320 0.0117219
\(606\) 1.24174 0.518219i 0.0504421 0.0210512i
\(607\) 8.60080 4.96568i 0.349096 0.201551i −0.315191 0.949028i \(-0.602069\pi\)
0.664287 + 0.747478i \(0.268735\pi\)
\(608\) 1.50360 + 2.60431i 0.0609790 + 0.105619i
\(609\) 11.3148 + 1.43047i 0.458497 + 0.0579655i
\(610\) 0.343660 0.0139144
\(611\) −1.28158 + 15.5365i −0.0518473 + 0.628539i
\(612\) −10.0439 36.7018i −0.405999 1.48358i
\(613\) −11.9041 + 20.6186i −0.480803 + 0.832776i −0.999757 0.0220265i \(-0.992988\pi\)
0.518954 + 0.854802i \(0.326322\pi\)
\(614\) −1.17797 −0.0475390
\(615\) 3.65227 4.78604i 0.147274 0.192992i
\(616\) −1.52602 0.876006i −0.0614850 0.0352953i
\(617\) −24.2100 13.9777i −0.974659 0.562720i −0.0740057 0.997258i \(-0.523578\pi\)
−0.900653 + 0.434538i \(0.856912\pi\)
\(618\) −0.324623 0.777849i −0.0130582 0.0312897i
\(619\) −10.8076 + 6.23976i −0.434393 + 0.250797i −0.701216 0.712949i \(-0.747359\pi\)
0.266823 + 0.963745i \(0.414026\pi\)
\(620\) 24.3229i 0.976832i
\(621\) −7.39031 + 18.2525i −0.296563 + 0.732448i
\(622\) −0.954240 + 0.550931i −0.0382615 + 0.0220903i
\(623\) −0.0334455 13.4798i −0.00133996 0.540055i
\(624\) 5.20064 24.3352i 0.208192 0.974188i
\(625\) 14.0402 24.3183i 0.561608 0.972734i
\(626\) 0.328088 0.568265i 0.0131130 0.0227124i
\(627\) −17.2483 + 22.6027i −0.688831 + 0.902664i
\(628\) −11.4976 + 6.63812i −0.458802 + 0.264890i
\(629\) 33.3127 1.32826
\(630\) 0.926757 + 0.240590i 0.0369229 + 0.00958532i
\(631\) 0.0948913 0.164357i 0.00377756 0.00654293i −0.864130 0.503268i \(-0.832131\pi\)
0.867908 + 0.496725i \(0.165464\pi\)
\(632\) −0.811994 0.468805i −0.0322994 0.0186481i
\(633\) 31.2427 + 4.02864i 1.24179 + 0.160124i
\(634\) 0.536737 0.929656i 0.0213166 0.0369214i
\(635\) −11.2645 −0.447018
\(636\) −6.00315 + 46.5553i −0.238040 + 1.84604i
\(637\) 22.7672 10.8929i 0.902068 0.431594i
\(638\) 0.414052i 0.0163925i
\(639\) 4.52059 17.2375i 0.178832 0.681903i
\(640\) 3.33239 + 1.92396i 0.131724 + 0.0760511i
\(641\) 23.8442i 0.941790i 0.882189 + 0.470895i \(0.156069\pi\)
−0.882189 + 0.470895i \(0.843931\pi\)
\(642\) −0.847960 + 1.11119i −0.0334663 + 0.0438553i
\(643\) 30.1098 + 17.3839i 1.18741 + 0.685553i 0.957718 0.287709i \(-0.0928936\pi\)
0.229696 + 0.973263i \(0.426227\pi\)
\(644\) −20.0277 + 0.0496919i −0.789201 + 0.00195814i
\(645\) 1.80006 + 0.232111i 0.0708771 + 0.00913937i
\(646\) 0.797002 + 1.38045i 0.0313576 + 0.0543130i
\(647\) 6.37831 11.0476i 0.250757 0.434324i −0.712977 0.701187i \(-0.752654\pi\)
0.963735 + 0.266863i \(0.0859871\pi\)
\(648\) 0.924011 + 1.56181i 0.0362986 + 0.0613537i
\(649\) −8.09951 4.67625i −0.317934 0.183559i
\(650\) 0.0745366 0.107582i 0.00292356 0.00421971i
\(651\) −23.1483 2.92653i −0.907255 0.114700i
\(652\) −19.3532 33.5207i −0.757930 1.31277i
\(653\) 12.3645i 0.483861i −0.970294 0.241931i \(-0.922219\pi\)
0.970294 0.241931i \(-0.0777806\pi\)
\(654\) 0.0299630 0.232367i 0.00117165 0.00908628i
\(655\) −19.4615 33.7083i −0.760423 1.31709i
\(656\) 2.89567 + 5.01545i 0.113057 + 0.195821i
\(657\) −11.8117 11.6866i −0.460817 0.455939i
\(658\) 0.287259 0.500411i 0.0111985 0.0195080i
\(659\) 7.20356 + 4.15898i 0.280611 + 0.162011i 0.633700 0.773579i \(-0.281535\pi\)
−0.353089 + 0.935590i \(0.614869\pi\)
\(660\) −3.49024 + 27.0673i −0.135858 + 1.05359i
\(661\) −28.7318 16.5883i −1.11754 0.645210i −0.176765 0.984253i \(-0.556563\pi\)
−0.940771 + 0.339043i \(0.889897\pi\)
\(662\) 0.296634 0.171261i 0.0115290 0.00665627i
\(663\) 8.28758 38.7798i 0.321863 1.50608i
\(664\) 3.28083i 0.127321i
\(665\) 31.4904 0.0781328i 1.22114 0.00302986i
\(666\) −0.765685 + 0.209538i −0.0296697 + 0.00811943i
\(667\) −4.71579 8.16799i −0.182596 0.316266i
\(668\) 17.1969 + 29.7860i 0.665369 + 1.15245i
\(669\) 5.55265 43.0616i 0.214678 1.66486i
\(670\) −0.150335 + 0.0867960i −0.00580795 + 0.00335322i
\(671\) −9.39669 −0.362755
\(672\) −1.67436 + 2.20545i −0.0645897 + 0.0850772i
\(673\) −10.9583 18.9804i −0.422412 0.731640i 0.573762 0.819022i \(-0.305483\pi\)
−0.996175 + 0.0873819i \(0.972150\pi\)
\(674\) 1.37199i 0.0528470i
\(675\) −0.517677 3.70347i −0.0199254 0.142547i
\(676\) 16.4929 20.0566i 0.634342 0.771406i
\(677\) −16.0223 + 27.7515i −0.615787 + 1.06658i 0.374458 + 0.927244i \(0.377829\pi\)
−0.990246 + 0.139331i \(0.955505\pi\)
\(678\) 0.0617820 + 0.148040i 0.00237272 + 0.00568543i
\(679\) −16.8143 + 29.2909i −0.645275 + 1.12408i
\(680\) 2.65182 + 1.53103i 0.101693 + 0.0587122i
\(681\) 5.90568 7.73898i 0.226306 0.296558i
\(682\) 0.847090i 0.0324367i
\(683\) 18.2613i 0.698749i −0.936983 0.349374i \(-0.886394\pi\)
0.936983 0.349374i \(-0.113606\pi\)
\(684\) 21.1996 + 20.9752i 0.810586 + 0.802005i
\(685\) 18.3815 + 10.6125i 0.702319 + 0.405484i
\(686\) −0.934131 + 0.00695331i −0.0356653 + 0.000265478i
\(687\) 23.4570 9.78942i 0.894941 0.373490i
\(688\) −0.872953 + 1.51200i −0.0332810 + 0.0576445i
\(689\) −27.8599 + 40.2114i −1.06138 + 1.53193i
\(690\) −0.304960 0.730733i −0.0116096 0.0278185i
\(691\) 24.0040i 0.913156i 0.889683 + 0.456578i \(0.150925\pi\)
−0.889683 + 0.456578i \(0.849075\pi\)
\(692\) −1.03888 1.79939i −0.0394922 0.0684025i
\(693\) −25.3403 6.57843i −0.962597 0.249894i
\(694\) 1.33195 0.0505602
\(695\) −11.2560 + 6.49863i −0.426963 + 0.246507i
\(696\) −0.862016 0.111154i −0.0326746 0.00421328i
\(697\) 4.61446 + 7.99248i 0.174785 + 0.302737i
\(698\) 0.153214 + 0.265374i 0.00579922 + 0.0100445i
\(699\) 22.5238 9.39995i 0.851928 0.355539i
\(700\) 3.28899 1.90979i 0.124312 0.0721834i
\(701\) 21.5626i 0.814410i −0.913337 0.407205i \(-0.866504\pi\)
0.913337 0.407205i \(-0.133496\pi\)
\(702\) 0.0534383 + 0.943476i 0.00201690 + 0.0356092i
\(703\) −22.6107 + 13.0543i −0.852778 + 0.492352i
\(704\) −22.6778 13.0930i −0.854700 0.493461i
\(705\) −17.7631 2.29049i −0.668997 0.0862650i
\(706\) 1.10159 + 0.636003i 0.0414589 + 0.0239363i
\(707\) 35.3395 + 20.2866i 1.32908 + 0.762954i
\(708\) −5.95113 + 7.79854i −0.223657 + 0.293087i
\(709\) 7.76763 + 13.4539i 0.291719 + 0.505273i 0.974216 0.225616i \(-0.0724393\pi\)
−0.682497 + 0.730888i \(0.739106\pi\)
\(710\) 0.358281 + 0.620560i 0.0134460 + 0.0232892i
\(711\) −13.4941 3.53888i −0.506068 0.132718i
\(712\) 1.02728i 0.0384991i
\(713\) 9.64781 + 16.7105i 0.361313 + 0.625813i
\(714\) −0.887514 + 1.16903i −0.0332144 + 0.0437498i
\(715\) −16.1978 + 23.3790i −0.605764 + 0.874326i
\(716\) 5.42577 + 3.13257i 0.202771 + 0.117070i
\(717\) 33.0195 + 25.1975i 1.23314 + 0.941017i
\(718\) 0.349059 0.604589i 0.0130268 0.0225631i
\(719\) −12.0233 20.8250i −0.448394 0.776642i 0.549887 0.835239i \(-0.314671\pi\)
−0.998282 + 0.0585970i \(0.981337\pi\)
\(720\) 27.6543 + 7.25246i 1.03062 + 0.270283i
\(721\) 12.7079 22.1374i 0.473268 0.824441i
\(722\) −0.251957 0.145467i −0.00937686 0.00541373i
\(723\) −21.4431 16.3634i −0.797479 0.608563i
\(724\) 41.6913i 1.54944i
\(725\) 1.55110 + 0.895526i 0.0576063 + 0.0332590i
\(726\) 0.00134695 0.0104458i 4.99902e−5 0.000387681i
\(727\) 14.4681i 0.536592i −0.963337 0.268296i \(-0.913539\pi\)
0.963337 0.268296i \(-0.0864605\pi\)
\(728\) −1.73712 + 0.825834i −0.0643820 + 0.0306075i
\(729\) 19.3942 + 18.7847i 0.718304 + 0.695729i
\(730\) 0.668135 0.0247288
\(731\) −1.39111 + 2.40948i −0.0514522 + 0.0891178i
\(732\) −1.26049 + 9.77526i −0.0465890 + 0.361304i
\(733\) 33.3177 + 19.2360i 1.23062 + 0.710496i 0.967158 0.254175i \(-0.0818038\pi\)
0.263457 + 0.964671i \(0.415137\pi\)
\(734\) 0.499751 0.865595i 0.0184462 0.0319497i
\(735\) 11.3003 + 26.7038i 0.416819 + 0.984985i
\(736\) 2.28993 0.0844080
\(737\) 4.11061 2.37326i 0.151416 0.0874202i
\(738\) −0.156335 0.154680i −0.00575478 0.00569386i
\(739\) −3.00764 + 5.20938i −0.110638 + 0.191630i −0.916028 0.401115i \(-0.868623\pi\)
0.805390 + 0.592745i \(0.201956\pi\)
\(740\) −12.5306 + 21.7036i −0.460633 + 0.797839i
\(741\) 9.57160 + 29.5692i 0.351621 + 1.08625i
\(742\) 1.56581 0.909211i 0.0574829 0.0333782i
\(743\) 27.6154 15.9438i 1.01311 0.584920i 0.101010 0.994885i \(-0.467792\pi\)
0.912101 + 0.409965i \(0.134459\pi\)
\(744\) 1.76356 + 0.227405i 0.0646551 + 0.00833706i
\(745\) 8.88732i 0.325606i
\(746\) 0.767334 0.443021i 0.0280941 0.0162201i
\(747\) 12.8849 + 47.0833i 0.471432 + 1.72269i
\(748\) −36.2312 20.9181i −1.32474 0.764841i
\(749\) −42.3304 + 0.105029i −1.54672 + 0.00383767i
\(750\) −0.710964 0.542542i −0.0259607 0.0198108i
\(751\) −10.3516 −0.377736 −0.188868 0.982003i \(-0.560482\pi\)
−0.188868 + 0.982003i \(0.560482\pi\)
\(752\) 8.61438 14.9205i 0.314134 0.544096i
\(753\) 7.77398 + 18.6277i 0.283300 + 0.678832i
\(754\) −0.372040 0.257762i −0.0135489 0.00938715i
\(755\) −46.1560 −1.67979
\(756\) −10.2427 + 25.4787i −0.372522 + 0.926653i
\(757\) 2.99136 + 5.18119i 0.108723 + 0.188313i 0.915253 0.402879i \(-0.131991\pi\)
−0.806530 + 0.591193i \(0.798657\pi\)
\(758\) 0.807498 0.466209i 0.0293297 0.0169335i
\(759\) 8.33851 + 19.9804i 0.302669 + 0.725243i
\(760\) −2.39986 −0.0870522
\(761\) 0.956390 + 1.65652i 0.0346691 + 0.0600487i 0.882839 0.469675i \(-0.155629\pi\)
−0.848170 + 0.529724i \(0.822296\pi\)
\(762\) −0.0526247 + 0.408112i −0.00190639 + 0.0147843i
\(763\) 6.13590 3.56289i 0.222135 0.128985i
\(764\) −41.9790 + 24.2366i −1.51875 + 0.876849i
\(765\) 44.0691 + 11.5573i 1.59332 + 0.417855i
\(766\) −0.138260 + 0.0798247i −0.00499555 + 0.00288418i
\(767\) −9.24401 + 4.36655i −0.333782 + 0.157667i
\(768\) −16.5985 + 21.7511i −0.598946 + 0.784877i
\(769\) 3.32745 1.92110i 0.119991 0.0692768i −0.438803 0.898583i \(-0.644598\pi\)
0.558794 + 0.829306i \(0.311264\pi\)
\(770\) 0.910368 0.528617i 0.0328074 0.0190500i
\(771\) 0.0179013 0.0234584i 0.000644701 0.000844835i
\(772\) −1.54681 + 2.67916i −0.0556710 + 0.0964250i
\(773\) 38.4530