Properties

Label 546.2.bw.a.527.28
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.28
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.28

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.287995 - 1.70794i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.571804 - 2.13400i) q^{5} +(0.163866 - 1.72428i) q^{6} +(-2.64337 - 0.112194i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.83412 + 0.983756i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.287995 - 1.70794i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.571804 - 2.13400i) q^{5} +(0.163866 - 1.72428i) q^{6} +(-2.64337 - 0.112194i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.83412 + 0.983756i) q^{9} -2.20928i q^{10} +(-1.49302 - 1.49302i) q^{11} +(0.604559 - 1.62312i) q^{12} +(-3.42792 - 1.11774i) q^{13} +(-2.52426 - 0.792526i) q^{14} +(-3.48007 + 1.59119i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.09461 - 3.62798i) q^{17} +(-2.99216 + 0.216711i) q^{18} +(0.337423 + 0.337423i) q^{19} +(0.571804 - 2.13400i) q^{20} +(0.569656 + 4.54703i) q^{21} +(-1.05573 - 1.82857i) q^{22} +(2.41507 + 4.18302i) q^{23} +(1.00405 - 1.41134i) q^{24} +(0.103127 - 0.0595401i) q^{25} +(-3.02183 - 1.96687i) q^{26} +(2.49641 + 4.55719i) q^{27} +(-2.23313 - 1.41885i) q^{28} +(-0.814739 - 0.470390i) q^{29} +(-3.77332 + 0.636261i) q^{30} +(1.14902 - 4.28819i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-2.12001 + 2.97998i) q^{33} +(2.96223 - 2.96223i) q^{34} +(1.27207 + 5.70511i) q^{35} +(-2.94630 - 0.565101i) q^{36} +(-8.78173 - 2.35306i) q^{37} +(0.238594 + 0.413257i) q^{38} +(-0.921812 + 6.17659i) q^{39} +(1.10464 - 1.91329i) q^{40} +(-2.42880 - 9.06440i) q^{41} +(-0.626612 + 4.53953i) q^{42} +(2.32396 - 1.34174i) q^{43} +(-0.546485 - 2.03951i) q^{44} +(3.71990 + 5.48550i) q^{45} +(1.25013 + 4.66555i) q^{46} +(4.06004 - 1.08788i) q^{47} +(1.33512 - 1.10338i) q^{48} +(6.97482 + 0.593142i) q^{49} +(0.115023 - 0.0308202i) q^{50} +(-6.79960 - 2.53264i) q^{51} +(-2.40980 - 2.68195i) q^{52} +(4.82321 - 2.78468i) q^{53} +(1.23186 + 5.04802i) q^{54} +(-2.33240 + 4.03983i) q^{55} +(-1.78981 - 1.94848i) q^{56} +(0.479123 - 0.673475i) q^{57} +(-0.665231 - 0.665231i) q^{58} +(13.7931 - 3.69585i) q^{59} +(-3.80942 - 0.362025i) q^{60} -4.04297 q^{61} +(2.21973 - 3.84468i) q^{62} +(7.60200 - 2.28246i) q^{63} +1.00000i q^{64} +(-0.425162 + 7.95432i) q^{65} +(-2.81905 + 2.32974i) q^{66} +(-6.00262 - 6.00262i) q^{67} +(3.62798 - 2.09461i) q^{68} +(6.44882 - 5.32948i) q^{69} +(-0.247868 + 5.83995i) q^{70} +(5.98706 + 1.60423i) q^{71} +(-2.69964 - 1.30840i) q^{72} +(6.72115 + 1.80093i) q^{73} +(-7.87349 - 4.54576i) q^{74} +(-0.131391 - 0.158987i) q^{75} +(0.123506 + 0.460929i) q^{76} +(3.77911 + 4.11413i) q^{77} +(-2.48902 + 5.72755i) q^{78} +(-1.77600 + 3.07612i) q^{79} +(1.56220 - 1.56220i) q^{80} +(7.06445 - 5.57616i) q^{81} -9.38416i q^{82} +(-7.36931 + 7.36931i) q^{83} +(-1.78018 + 4.22267i) q^{84} +(-8.93981 - 2.39542i) q^{85} +(2.59204 - 0.694536i) q^{86} +(-0.568757 + 1.52699i) q^{87} -2.11145i q^{88} +(4.08834 - 15.2579i) q^{89} +(2.17339 + 6.26136i) q^{90} +(8.93587 + 3.33920i) q^{91} +4.83014i q^{92} +(-7.65488 - 0.727475i) q^{93} +4.20326 q^{94} +(0.527122 - 0.913002i) q^{95} +(1.57520 - 0.720229i) q^{96} +(-4.62372 + 17.2560i) q^{97} +(6.58365 + 2.37815i) q^{98} +(5.70018 + 2.76263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152 q + 12 q^{7} + O(q^{10}) \) \( 152 q + 12 q^{7} + 76 q^{16} - 8 q^{18} + 12 q^{19} + 8 q^{21} + 24 q^{27} + 16 q^{28} - 12 q^{31} - 48 q^{33} + 24 q^{36} - 36 q^{37} - 8 q^{39} + 84 q^{43} - 40 q^{45} - 16 q^{46} - 28 q^{49} + 4 q^{52} + 24 q^{54} + 16 q^{55} - 8 q^{57} - 16 q^{58} + 64 q^{61} - 100 q^{63} + 16 q^{66} - 112 q^{67} + 84 q^{69} + 16 q^{72} - 120 q^{73} - 48 q^{76} - 8 q^{78} + 32 q^{79} + 48 q^{81} - 8 q^{84} - 152 q^{85} + 48 q^{87} + 16 q^{91} - 12 q^{93} - 64 q^{94} - 100 q^{97} + 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −0.287995 1.70794i −0.166274 0.986080i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −0.571804 2.13400i −0.255718 0.954354i −0.967689 0.252145i \(-0.918864\pi\)
0.711971 0.702209i \(-0.247803\pi\)
\(6\) 0.163866 1.72428i 0.0668979 0.703935i
\(7\) −2.64337 0.112194i −0.999100 0.0424054i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.83412 + 0.983756i −0.944706 + 0.327919i
\(10\) 2.20928i 0.698636i
\(11\) −1.49302 1.49302i −0.450164 0.450164i 0.445245 0.895409i \(-0.353117\pi\)
−0.895409 + 0.445245i \(0.853117\pi\)
\(12\) 0.604559 1.62312i 0.174521 0.468553i
\(13\) −3.42792 1.11774i −0.950735 0.310006i
\(14\) −2.52426 0.792526i −0.674638 0.211812i
\(15\) −3.48007 + 1.59119i −0.898550 + 0.410843i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.09461 3.62798i 0.508018 0.879914i −0.491939 0.870630i \(-0.663712\pi\)
0.999957 0.00928370i \(-0.00295514\pi\)
\(18\) −2.99216 + 0.216711i −0.705259 + 0.0510794i
\(19\) 0.337423 + 0.337423i 0.0774102 + 0.0774102i 0.744752 0.667342i \(-0.232568\pi\)
−0.667342 + 0.744752i \(0.732568\pi\)
\(20\) 0.571804 2.13400i 0.127859 0.477177i
\(21\) 0.569656 + 4.54703i 0.124309 + 0.992244i
\(22\) −1.05573 1.82857i −0.225082 0.389853i
\(23\) 2.41507 + 4.18302i 0.503577 + 0.872220i 0.999991 + 0.00413478i \(0.00131615\pi\)
−0.496415 + 0.868085i \(0.665351\pi\)
\(24\) 1.00405 1.41134i 0.204951 0.288088i
\(25\) 0.103127 0.0595401i 0.0206253 0.0119080i
\(26\) −3.02183 1.96687i −0.592629 0.385734i
\(27\) 2.49641 + 4.55719i 0.480434 + 0.877031i
\(28\) −2.23313 1.41885i −0.422022 0.268137i
\(29\) −0.814739 0.470390i −0.151293 0.0873492i 0.422442 0.906390i \(-0.361173\pi\)
−0.573735 + 0.819041i \(0.694506\pi\)
\(30\) −3.77332 + 0.636261i −0.688911 + 0.116165i
\(31\) 1.14902 4.28819i 0.206369 0.770181i −0.782658 0.622452i \(-0.786137\pi\)
0.989028 0.147730i \(-0.0471966\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −2.12001 + 2.97998i −0.369047 + 0.518748i
\(34\) 2.96223 2.96223i 0.508018 0.508018i
\(35\) 1.27207 + 5.70511i 0.215019 + 0.964340i
\(36\) −2.94630 0.565101i −0.491049 0.0941836i
\(37\) −8.78173 2.35306i −1.44371 0.386840i −0.549877 0.835245i \(-0.685326\pi\)
−0.893831 + 0.448405i \(0.851992\pi\)
\(38\) 0.238594 + 0.413257i 0.0387051 + 0.0670392i
\(39\) −0.921812 + 6.17659i −0.147608 + 0.989046i
\(40\) 1.10464 1.91329i 0.174659 0.302518i
\(41\) −2.42880 9.06440i −0.379315 1.41562i −0.846937 0.531693i \(-0.821556\pi\)
0.467623 0.883928i \(-0.345111\pi\)
\(42\) −0.626612 + 4.53953i −0.0966884 + 0.700465i
\(43\) 2.32396 1.34174i 0.354401 0.204613i −0.312221 0.950010i \(-0.601073\pi\)
0.666622 + 0.745396i \(0.267740\pi\)
\(44\) −0.546485 2.03951i −0.0823857 0.307467i
\(45\) 3.71990 + 5.48550i 0.554529 + 0.817729i
\(46\) 1.25013 + 4.66555i 0.184322 + 0.687898i
\(47\) 4.06004 1.08788i 0.592218 0.158684i 0.0497512 0.998762i \(-0.484157\pi\)
0.542467 + 0.840077i \(0.317490\pi\)
\(48\) 1.33512 1.10338i 0.192708 0.159259i
\(49\) 6.97482 + 0.593142i 0.996404 + 0.0847345i
\(50\) 0.115023 0.0308202i 0.0162667 0.00435864i
\(51\) −6.79960 2.53264i −0.952135 0.354640i
\(52\) −2.40980 2.68195i −0.334179 0.371920i
\(53\) 4.82321 2.78468i 0.662518 0.382505i −0.130718 0.991420i \(-0.541728\pi\)
0.793236 + 0.608915i \(0.208395\pi\)
\(54\) 1.23186 + 5.04802i 0.167635 + 0.686949i
\(55\) −2.33240 + 4.03983i −0.314500 + 0.544731i
\(56\) −1.78981 1.94848i −0.239174 0.260376i
\(57\) 0.479123 0.673475i 0.0634613 0.0892039i
\(58\) −0.665231 0.665231i −0.0873492 0.0873492i
\(59\) 13.7931 3.69585i 1.79571 0.481158i 0.802412 0.596770i \(-0.203550\pi\)
0.993294 + 0.115612i \(0.0368830\pi\)
\(60\) −3.80942 0.362025i −0.491794 0.0467373i
\(61\) −4.04297 −0.517650 −0.258825 0.965924i \(-0.583335\pi\)
−0.258825 + 0.965924i \(0.583335\pi\)
\(62\) 2.21973 3.84468i 0.281906 0.488275i
\(63\) 7.60200 2.28246i 0.957762 0.287563i
\(64\) 1.00000i 0.125000i
\(65\) −0.425162 + 7.95432i −0.0527349 + 0.986612i
\(66\) −2.81905 + 2.32974i −0.347001 + 0.286771i
\(67\) −6.00262 6.00262i −0.733337 0.733337i 0.237942 0.971279i \(-0.423527\pi\)
−0.971279 + 0.237942i \(0.923527\pi\)
\(68\) 3.62798 2.09461i 0.439957 0.254009i
\(69\) 6.44882 5.32948i 0.776347 0.641594i
\(70\) −0.247868 + 5.83995i −0.0296259 + 0.698007i
\(71\) 5.98706 + 1.60423i 0.710533 + 0.190387i 0.595944 0.803026i \(-0.296778\pi\)
0.114589 + 0.993413i \(0.463445\pi\)
\(72\) −2.69964 1.30840i −0.318156 0.154197i
\(73\) 6.72115 + 1.80093i 0.786651 + 0.210782i 0.629715 0.776826i \(-0.283172\pi\)
0.156936 + 0.987609i \(0.449838\pi\)
\(74\) −7.87349 4.54576i −0.915274 0.528434i
\(75\) −0.131391 0.158987i −0.0151717 0.0183582i
\(76\) 0.123506 + 0.460929i 0.0141671 + 0.0528722i
\(77\) 3.77911 + 4.11413i 0.430669 + 0.468848i
\(78\) −2.48902 + 5.72755i −0.281826 + 0.648517i
\(79\) −1.77600 + 3.07612i −0.199816 + 0.346091i −0.948469 0.316871i \(-0.897368\pi\)
0.748653 + 0.662962i \(0.230701\pi\)
\(80\) 1.56220 1.56220i 0.174659 0.174659i
\(81\) 7.06445 5.57616i 0.784939 0.619573i
\(82\) 9.38416i 1.03631i
\(83\) −7.36931 + 7.36931i −0.808887 + 0.808887i −0.984465 0.175578i \(-0.943820\pi\)
0.175578 + 0.984465i \(0.443820\pi\)
\(84\) −1.78018 + 4.22267i −0.194233 + 0.460731i
\(85\) −8.93981 2.39542i −0.969659 0.259819i
\(86\) 2.59204 0.694536i 0.279507 0.0748937i
\(87\) −0.568757 + 1.52699i −0.0609771 + 0.163711i
\(88\) 2.11145i 0.225082i
\(89\) 4.08834 15.2579i 0.433363 1.61733i −0.311590 0.950217i \(-0.600862\pi\)
0.744953 0.667116i \(-0.232472\pi\)
\(90\) 2.17339 + 6.26136i 0.229096 + 0.660005i
\(91\) 8.93587 + 3.33920i 0.936734 + 0.350043i
\(92\) 4.83014i 0.503577i
\(93\) −7.65488 0.727475i −0.793774 0.0754357i
\(94\) 4.20326 0.433534
\(95\) 0.527122 0.913002i 0.0540815 0.0936720i
\(96\) 1.57520 0.720229i 0.160769 0.0735081i
\(97\) −4.62372 + 17.2560i −0.469468 + 1.75208i 0.172168 + 0.985068i \(0.444923\pi\)
−0.641635 + 0.767010i \(0.721744\pi\)
\(98\) 6.58365 + 2.37815i 0.665049 + 0.240229i
\(99\) 5.70018 + 2.76263i 0.572889 + 0.277655i
\(100\) 0.119080 0.0119080
\(101\) −8.14985 −0.810940 −0.405470 0.914108i \(-0.632892\pi\)
−0.405470 + 0.914108i \(0.632892\pi\)
\(102\) −5.91242 4.20621i −0.585417 0.416476i
\(103\) 10.9259 + 6.30805i 1.07656 + 0.621551i 0.929966 0.367646i \(-0.119836\pi\)
0.146592 + 0.989197i \(0.453170\pi\)
\(104\) −1.63354 3.21427i −0.160182 0.315185i
\(105\) 9.37764 3.81566i 0.915164 0.372370i
\(106\) 5.37959 1.44146i 0.522512 0.140007i
\(107\) 0.474592 0.274006i 0.0458806 0.0264892i −0.476884 0.878966i \(-0.658234\pi\)
0.522765 + 0.852477i \(0.324901\pi\)
\(108\) −0.116641 + 5.19484i −0.0112238 + 0.499874i
\(109\) −2.35063 + 8.77267i −0.225150 + 0.840270i 0.757195 + 0.653189i \(0.226569\pi\)
−0.982345 + 0.187081i \(0.940097\pi\)
\(110\) −3.29851 + 3.29851i −0.314500 + 0.314500i
\(111\) −1.48979 + 15.6763i −0.141404 + 1.48793i
\(112\) −1.22452 2.34532i −0.115707 0.221612i
\(113\) −5.76556 + 3.32875i −0.542378 + 0.313142i −0.746042 0.665899i \(-0.768048\pi\)
0.203664 + 0.979041i \(0.434715\pi\)
\(114\) 0.637105 0.526521i 0.0596704 0.0493132i
\(115\) 7.54563 7.54563i 0.703633 0.703633i
\(116\) −0.470390 0.814739i −0.0436746 0.0756466i
\(117\) 10.8147 0.204427i 0.999821 0.0188993i
\(118\) 14.2797 1.31455
\(119\) −5.94388 + 9.35509i −0.544874 + 0.857579i
\(120\) −3.58592 1.33564i −0.327348 0.121927i
\(121\) 6.54176i 0.594705i
\(122\) −3.90521 1.04640i −0.353561 0.0947365i
\(123\) −14.7820 + 6.75874i −1.33284 + 0.609415i
\(124\) 3.13917 3.13917i 0.281906 0.281906i
\(125\) −7.99701 7.99701i −0.715275 0.715275i
\(126\) 7.93371 0.237146i 0.706791 0.0211266i
\(127\) 4.84622 + 2.79797i 0.430033 + 0.248280i 0.699361 0.714769i \(-0.253468\pi\)
−0.269328 + 0.963049i \(0.586801\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −2.96090 3.58277i −0.260693 0.315446i
\(130\) −2.46940 + 7.57324i −0.216581 + 0.664217i
\(131\) 1.13235 + 0.653760i 0.0989335 + 0.0571193i 0.548650 0.836052i \(-0.315142\pi\)
−0.449717 + 0.893171i \(0.648475\pi\)
\(132\) −3.32597 + 1.52073i −0.289489 + 0.132363i
\(133\) −0.854078 0.929792i −0.0740580 0.0806232i
\(134\) −4.24449 7.35168i −0.366669 0.635089i
\(135\) 8.29759 7.93315i 0.714142 0.682777i
\(136\) 4.04648 1.08425i 0.346983 0.0929738i
\(137\) 16.3692 4.38612i 1.39852 0.374731i 0.520705 0.853737i \(-0.325669\pi\)
0.877812 + 0.479005i \(0.159003\pi\)
\(138\) 7.60845 3.47880i 0.647675 0.296136i
\(139\) 0.00803392 + 0.0139152i 0.000681428 + 0.00118027i 0.866366 0.499410i \(-0.166450\pi\)
−0.865684 + 0.500590i \(0.833116\pi\)
\(140\) −1.75091 + 5.57680i −0.147979 + 0.471326i
\(141\) −3.02731 6.62100i −0.254946 0.557589i
\(142\) 5.36785 + 3.09913i 0.450460 + 0.260073i
\(143\) 3.44916 + 6.78679i 0.288433 + 0.567539i
\(144\) −2.26902 1.96254i −0.189085 0.163545i
\(145\) −0.537941 + 2.00762i −0.0446736 + 0.166724i
\(146\) 6.02601 + 3.47912i 0.498716 + 0.287934i
\(147\) −0.995663 12.0834i −0.0821209 0.996622i
\(148\) −6.42867 6.42867i −0.528434 0.528434i
\(149\) 7.35460 7.35460i 0.602513 0.602513i −0.338466 0.940979i \(-0.609908\pi\)
0.940979 + 0.338466i \(0.109908\pi\)
\(150\) −0.0857650 0.187576i −0.00700269 0.0153155i
\(151\) 14.7620 + 3.95546i 1.20131 + 0.321891i 0.803348 0.595510i \(-0.203050\pi\)
0.397964 + 0.917401i \(0.369717\pi\)
\(152\) 0.477189i 0.0387051i
\(153\) −2.36734 + 12.3427i −0.191388 + 0.997848i
\(154\) 2.58552 + 4.95204i 0.208347 + 0.399047i
\(155\) −9.80801 −0.787798
\(156\) −3.88661 + 4.88818i −0.311178 + 0.391367i
\(157\) −10.4574 18.1128i −0.834592 1.44556i −0.894362 0.447343i \(-0.852370\pi\)
0.0597707 0.998212i \(-0.480963\pi\)
\(158\) −2.51164 + 2.51164i −0.199816 + 0.199816i
\(159\) −6.14512 7.43577i −0.487340 0.589695i
\(160\) 1.91329 1.10464i 0.151259 0.0873295i
\(161\) −5.91461 11.3282i −0.466137 0.892790i
\(162\) 8.26695 3.55774i 0.649513 0.279523i
\(163\) −17.9535 + 17.9535i −1.40623 + 1.40623i −0.628075 + 0.778153i \(0.716157\pi\)
−0.778153 + 0.628075i \(0.783843\pi\)
\(164\) 2.42880 9.06440i 0.189657 0.707811i
\(165\) 7.57151 + 2.82014i 0.589441 + 0.219548i
\(166\) −9.02553 + 5.21089i −0.700517 + 0.404444i
\(167\) −6.53289 + 1.75048i −0.505530 + 0.135456i −0.502565 0.864539i \(-0.667610\pi\)
−0.00296472 + 0.999996i \(0.500944\pi\)
\(168\) −2.81243 + 3.61804i −0.216984 + 0.279138i
\(169\) 10.5013 + 7.66306i 0.807793 + 0.589466i
\(170\) −8.01522 4.62759i −0.614739 0.354920i
\(171\) −1.28824 0.624355i −0.0985141 0.0477456i
\(172\) 2.68348 0.204613
\(173\) −6.71395 −0.510452 −0.255226 0.966881i \(-0.582150\pi\)
−0.255226 + 0.966881i \(0.582150\pi\)
\(174\) −0.944592 + 1.32776i −0.0716093 + 0.100657i
\(175\) −0.279282 + 0.145816i −0.0211117 + 0.0110227i
\(176\) 0.546485 2.03951i 0.0411928 0.153734i
\(177\) −10.2846 22.4934i −0.773039 1.69071i
\(178\) 7.89806 13.6798i 0.591985 1.02535i
\(179\) −4.39615 −0.328584 −0.164292 0.986412i \(-0.552534\pi\)
−0.164292 + 0.986412i \(0.552534\pi\)
\(180\) 0.478776 + 6.61053i 0.0356859 + 0.492720i
\(181\) 26.8774i 1.99778i 0.0470732 + 0.998891i \(0.485011\pi\)
−0.0470732 + 0.998891i \(0.514989\pi\)
\(182\) 7.76714 + 5.53819i 0.575739 + 0.410518i
\(183\) 1.16436 + 6.90516i 0.0860716 + 0.510444i
\(184\) −1.25013 + 4.66555i −0.0921609 + 0.343949i
\(185\) 20.0857i 1.47673i
\(186\) −7.20576 2.68392i −0.528352 0.196794i
\(187\) −8.54396 + 2.28935i −0.624797 + 0.167414i
\(188\) 4.06004 + 1.08788i 0.296109 + 0.0793421i
\(189\) −6.08764 12.3264i −0.442811 0.896615i
\(190\) 0.745463 0.745463i 0.0540815 0.0540815i
\(191\) 4.81472i 0.348381i 0.984712 + 0.174191i \(0.0557309\pi\)
−0.984712 + 0.174191i \(0.944269\pi\)
\(192\) 1.70794 0.287995i 0.123260 0.0207842i
\(193\) −0.594684 + 0.594684i −0.0428063 + 0.0428063i −0.728186 0.685380i \(-0.759636\pi\)
0.685380 + 0.728186i \(0.259636\pi\)
\(194\) −8.93234 + 15.4713i −0.641305 + 1.11077i
\(195\) 13.7079 1.56465i 0.981646 0.112047i
\(196\) 5.74380 + 4.00109i 0.410272 + 0.285792i
\(197\) −3.67600 13.7190i −0.261904 0.977440i −0.964118 0.265474i \(-0.914472\pi\)
0.702214 0.711966i \(-0.252195\pi\)
\(198\) 4.79093 + 4.14381i 0.340476 + 0.294488i
\(199\) 6.18891 + 3.57317i 0.438720 + 0.253295i 0.703055 0.711136i \(-0.251819\pi\)
−0.264334 + 0.964431i \(0.585152\pi\)
\(200\) 0.115023 + 0.0308202i 0.00813333 + 0.00217932i
\(201\) −8.52339 + 11.9808i −0.601194 + 0.845064i
\(202\) −7.87215 2.10934i −0.553883 0.148412i
\(203\) 2.10088 + 1.33482i 0.147453 + 0.0936862i
\(204\) −4.62231 5.59313i −0.323627 0.391597i
\(205\) −17.9546 + 10.3661i −1.25401 + 0.724001i
\(206\) 8.92093 + 8.92093i 0.621551 + 0.621551i
\(207\) −10.9597 9.47934i −0.761749 0.658859i
\(208\) −0.745969 3.52754i −0.0517236 0.244591i
\(209\) 1.00756i 0.0696945i
\(210\) 10.0457 1.25853i 0.693217 0.0868469i
\(211\) 6.91083 11.9699i 0.475761 0.824042i −0.523854 0.851808i \(-0.675506\pi\)
0.999614 + 0.0277663i \(0.00883942\pi\)
\(212\) 5.56936 0.382505
\(213\) 1.01568 10.6875i 0.0695934 0.732299i
\(214\) 0.529339 0.141836i 0.0361849 0.00969571i
\(215\) −4.19213 4.19213i −0.285901 0.285901i
\(216\) −1.45719 + 4.98764i −0.0991493 + 0.339366i
\(217\) −3.51839 + 11.2064i −0.238844 + 0.760737i
\(218\) −4.54107 + 7.86536i −0.307560 + 0.532710i
\(219\) 1.14022 11.9980i 0.0770488 0.810748i
\(220\) −4.03983 + 2.33240i −0.272365 + 0.157250i
\(221\) −11.2353 + 10.0952i −0.755769 + 0.679076i
\(222\) −5.49636 + 14.7566i −0.368892 + 0.990398i
\(223\) −4.03794 + 1.08196i −0.270401 + 0.0724536i −0.391471 0.920190i \(-0.628034\pi\)
0.121071 + 0.992644i \(0.461367\pi\)
\(224\) −0.575784 2.58234i −0.0384712 0.172540i
\(225\) −0.233700 + 0.270195i −0.0155800 + 0.0180130i
\(226\) −6.43065 + 1.72309i −0.427760 + 0.114618i
\(227\) −2.92533 10.9175i −0.194161 0.724619i −0.992482 0.122387i \(-0.960945\pi\)
0.798321 0.602232i \(-0.205722\pi\)
\(228\) 0.751670 0.343685i 0.0497805 0.0227611i
\(229\) −0.512008 1.91084i −0.0338344 0.126272i 0.946943 0.321401i \(-0.104154\pi\)
−0.980777 + 0.195130i \(0.937487\pi\)
\(230\) 9.24147 5.33556i 0.609364 0.351817i
\(231\) 5.93832 7.63934i 0.390712 0.502631i
\(232\) −0.243492 0.908723i −0.0159860 0.0596606i
\(233\) 8.36770 14.4933i 0.548187 0.949487i −0.450212 0.892922i \(-0.648652\pi\)
0.998399 0.0565654i \(-0.0180150\pi\)
\(234\) 10.4991 + 2.60159i 0.686350 + 0.170072i
\(235\) −4.64309 8.04207i −0.302882 0.524607i
\(236\) 13.7931 + 3.69585i 0.897853 + 0.240579i
\(237\) 5.76531 + 2.14739i 0.374497 + 0.139488i
\(238\) −8.16262 + 7.49793i −0.529104 + 0.486019i
\(239\) 10.8665 10.8665i 0.702893 0.702893i −0.262138 0.965030i \(-0.584428\pi\)
0.965030 + 0.262138i \(0.0844275\pi\)
\(240\) −3.11804 2.21823i −0.201269 0.143186i
\(241\) −7.04677 26.2989i −0.453922 1.69406i −0.691237 0.722628i \(-0.742934\pi\)
0.237315 0.971433i \(-0.423733\pi\)
\(242\) 1.69313 6.31885i 0.108839 0.406191i
\(243\) −11.5583 10.4597i −0.741463 0.670993i
\(244\) −3.50132 2.02149i −0.224149 0.129412i
\(245\) −2.72247 15.2234i −0.173932 0.972590i
\(246\) −16.0276 + 2.70259i −1.02188 + 0.172311i
\(247\) −0.779509 1.53381i −0.0495990 0.0975942i
\(248\) 3.84468 2.21973i 0.244138 0.140953i
\(249\) 14.7087 + 10.4640i 0.932124 + 0.663130i
\(250\) −5.65474 9.79430i −0.357637 0.619446i
\(251\) 9.46986 + 16.4023i 0.597732 + 1.03530i 0.993155 + 0.116804i \(0.0372648\pi\)
−0.395423 + 0.918499i \(0.629402\pi\)
\(252\) 7.72475 + 1.82433i 0.486614 + 0.114922i
\(253\) 2.63960 9.85110i 0.165950 0.619334i
\(254\) 3.95693 + 3.95693i 0.248280 + 0.248280i
\(255\) −1.51661 + 15.9585i −0.0949736 + 0.999362i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −7.29961 12.6433i −0.455337 0.788667i 0.543370 0.839493i \(-0.317148\pi\)
−0.998708 + 0.0508258i \(0.983815\pi\)
\(258\) −1.93272 4.22703i −0.120326 0.263163i
\(259\) 22.9494 + 7.20527i 1.42601 + 0.447713i
\(260\) −4.34536 + 6.67606i −0.269488 + 0.414032i
\(261\) 2.77181 + 0.531636i 0.171571 + 0.0329074i
\(262\) 0.924557 + 0.924557i 0.0571193 + 0.0571193i
\(263\) 17.5577i 1.08265i 0.840813 + 0.541326i \(0.182078\pi\)
−0.840813 + 0.541326i \(0.817922\pi\)
\(264\) −3.60624 + 0.608088i −0.221949 + 0.0374252i
\(265\) −8.70044 8.70044i −0.534464 0.534464i
\(266\) −0.584328 1.11916i −0.0358275 0.0686202i
\(267\) −27.2370 2.58844i −1.66688 0.158410i
\(268\) −2.19711 8.19973i −0.134210 0.500879i
\(269\) 10.1402 + 5.85445i 0.618260 + 0.356952i 0.776191 0.630498i \(-0.217149\pi\)
−0.157932 + 0.987450i \(0.550483\pi\)
\(270\) 10.0681 5.51526i 0.612725 0.335648i
\(271\) −13.0026 3.48405i −0.789854 0.211641i −0.158729 0.987322i \(-0.550740\pi\)
−0.631125 + 0.775681i \(0.717406\pi\)
\(272\) 4.18923 0.254009
\(273\) 3.12967 16.2236i 0.189416 0.981897i
\(274\) 16.9467 1.02379
\(275\) −0.242865 0.0650755i −0.0146453 0.00392420i
\(276\) 8.24958 1.39105i 0.496567 0.0837316i
\(277\) 2.59276 + 1.49693i 0.155784 + 0.0899418i 0.575865 0.817545i \(-0.304665\pi\)
−0.420082 + 0.907486i \(0.637999\pi\)
\(278\) 0.00415866 + 0.0155203i 0.000249420 + 0.000930849i
\(279\) 0.962082 + 13.2836i 0.0575983 + 0.795267i
\(280\) −3.13463 + 4.93361i −0.187330 + 0.294840i
\(281\) −7.79421 7.79421i −0.464964 0.464964i 0.435315 0.900278i \(-0.356637\pi\)
−0.900278 + 0.435315i \(0.856637\pi\)
\(282\) −1.21052 7.17892i −0.0720853 0.427499i
\(283\) 5.58090i 0.331750i 0.986147 + 0.165875i \(0.0530449\pi\)
−0.986147 + 0.165875i \(0.946955\pi\)
\(284\) 4.38283 + 4.38283i 0.260073 + 0.260073i
\(285\) −1.71116 0.637352i −0.101360 0.0377535i
\(286\) 1.57508 + 7.44824i 0.0931364 + 0.440424i
\(287\) 5.40324 + 24.2331i 0.318943 + 1.43043i
\(288\) −1.68376 2.48293i −0.0992164 0.146308i
\(289\) −0.274811 0.475986i −0.0161653 0.0279992i
\(290\) −1.03922 + 1.79999i −0.0610253 + 0.105699i
\(291\) 30.8038 + 2.92741i 1.80575 + 0.171608i
\(292\) 4.92022 + 4.92022i 0.287934 + 0.287934i
\(293\) 4.48295 16.7306i 0.261897 0.977412i −0.702226 0.711955i \(-0.747810\pi\)
0.964122 0.265458i \(-0.0855231\pi\)
\(294\) 2.16568 11.9294i 0.126305 0.695735i
\(295\) −15.7739 27.3212i −0.918391 1.59070i
\(296\) −4.54576 7.87349i −0.264217 0.457637i
\(297\) 3.07679 10.5312i 0.178534 0.611081i
\(298\) 9.00751 5.20049i 0.521791 0.301256i
\(299\) −3.60313 17.0385i −0.208374 0.985362i
\(300\) −0.0342945 0.203382i −0.00197999 0.0117423i
\(301\) −6.29363 + 3.28598i −0.362759 + 0.189401i
\(302\) 13.2352 + 7.64136i 0.761601 + 0.439711i
\(303\) 2.34712 + 13.9195i 0.134838 + 0.799652i
\(304\) −0.123506 + 0.460929i −0.00708353 + 0.0264361i
\(305\) 2.31179 + 8.62771i 0.132373 + 0.494021i
\(306\) −5.48120 + 11.3094i −0.313339 + 0.646517i
\(307\) 4.71257 4.71257i 0.268961 0.268961i −0.559721 0.828681i \(-0.689092\pi\)
0.828681 + 0.559721i \(0.189092\pi\)
\(308\) 1.21574 + 5.45249i 0.0692733 + 0.310685i
\(309\) 7.62718 20.4774i 0.433895 1.16492i
\(310\) −9.47381 2.53850i −0.538076 0.144177i
\(311\) −8.67825 15.0312i −0.492098 0.852339i 0.507860 0.861440i \(-0.330437\pi\)
−0.999959 + 0.00910006i \(0.997103\pi\)
\(312\) −5.01933 + 3.71569i −0.284163 + 0.210359i
\(313\) −0.700926 + 1.21404i −0.0396187 + 0.0686215i −0.885155 0.465297i \(-0.845948\pi\)
0.845536 + 0.533918i \(0.179281\pi\)
\(314\) −5.41315 20.2022i −0.305482 1.14007i
\(315\) −9.21762 14.9176i −0.519354 0.840509i
\(316\) −3.07612 + 1.77600i −0.173045 + 0.0999078i
\(317\) 6.62944 + 24.7414i 0.372346 + 1.38962i 0.857184 + 0.515011i \(0.172212\pi\)
−0.484837 + 0.874604i \(0.661121\pi\)
\(318\) −4.01121 8.77288i −0.224938 0.491959i
\(319\) 0.514121 + 1.91873i 0.0287853 + 0.107428i
\(320\) 2.13400 0.571804i 0.119294 0.0319648i
\(321\) −0.604666 0.731663i −0.0337492 0.0408374i
\(322\) −2.78111 12.4730i −0.154985 0.695096i
\(323\) 1.93094 0.517393i 0.107440 0.0287885i
\(324\) 8.90607 1.29687i 0.494782 0.0720484i
\(325\) −0.420060 + 0.0888301i −0.0233007 + 0.00492741i
\(326\) −21.9885 + 12.6951i −1.21783 + 0.703114i
\(327\) 15.6602 + 1.48825i 0.866009 + 0.0823005i
\(328\) 4.69208 8.12692i 0.259077 0.448734i
\(329\) −10.8542 + 2.42017i −0.598414 + 0.133428i
\(330\) 6.58361 + 4.68370i 0.362416 + 0.257829i
\(331\) −3.18618 3.18618i −0.175128 0.175128i 0.614100 0.789228i \(-0.289519\pi\)
−0.789228 + 0.614100i \(0.789519\pi\)
\(332\) −10.0667 + 2.69736i −0.552480 + 0.148037i
\(333\) 27.2033 1.97024i 1.49073 0.107968i
\(334\) −6.76334 −0.370074
\(335\) −9.37728 + 16.2419i −0.512336 + 0.887391i
\(336\) −3.65302 + 2.76685i −0.199288 + 0.150944i
\(337\) 34.7055i 1.89053i 0.326303 + 0.945265i \(0.394197\pi\)
−0.326303 + 0.945265i \(0.605803\pi\)
\(338\) 8.16014 + 10.1199i 0.443853 + 0.550449i
\(339\) 7.34576 + 8.88857i 0.398967 + 0.482761i
\(340\) −6.54440 6.54440i −0.354920 0.354920i
\(341\) −8.11787 + 4.68686i −0.439608 + 0.253808i
\(342\) −1.08275 0.936502i −0.0585484 0.0506402i
\(343\) −18.3705 2.35043i −0.991914 0.126911i
\(344\) 2.59204 + 0.694536i 0.139754 + 0.0374469i
\(345\) −15.0606 10.7144i −0.810834 0.576843i
\(346\) −6.48518 1.73770i −0.348645 0.0934192i
\(347\) −13.7162 7.91904i −0.736323 0.425116i 0.0844080 0.996431i \(-0.473100\pi\)
−0.820731 + 0.571315i \(0.806433\pi\)
\(348\) −1.25606 + 1.03804i −0.0673316 + 0.0556447i
\(349\) −7.94079 29.6354i −0.425061 1.58635i −0.763790 0.645465i \(-0.776664\pi\)
0.338729 0.940884i \(-0.390003\pi\)
\(350\) −0.307505 + 0.0685644i −0.0164369 + 0.00366492i
\(351\) −3.46373 18.4120i −0.184880 0.982761i
\(352\) 1.05573 1.82857i 0.0562705 0.0974633i
\(353\) −7.76783 + 7.76783i −0.413440 + 0.413440i −0.882935 0.469495i \(-0.844436\pi\)
0.469495 + 0.882935i \(0.344436\pi\)
\(354\) −4.11247 24.3888i −0.218575 1.29625i
\(355\) 13.6937i 0.726786i
\(356\) 11.1696 11.1696i 0.591985 0.591985i
\(357\) 17.6897 + 7.45757i 0.936240 + 0.394697i
\(358\) −4.24635 1.13781i −0.224427 0.0601350i
\(359\) 3.14697 0.843227i 0.166091 0.0445038i −0.174815 0.984601i \(-0.555933\pi\)
0.340906 + 0.940097i \(0.389266\pi\)
\(360\) −1.24847 + 6.50919i −0.0658000 + 0.343065i
\(361\) 18.7723i 0.988015i
\(362\) −6.95639 + 25.9616i −0.365620 + 1.36451i
\(363\) −11.1729 + 1.88399i −0.586427 + 0.0988840i
\(364\) 6.06909 + 7.35977i 0.318107 + 0.385757i
\(365\) 15.3727i 0.804644i
\(366\) −0.662505 + 6.97123i −0.0346297 + 0.364392i
\(367\) −20.6079 −1.07573 −0.537863 0.843032i \(-0.680768\pi\)
−0.537863 + 0.843032i \(0.680768\pi\)
\(368\) −2.41507 + 4.18302i −0.125894 + 0.218055i
\(369\) 15.8007 + 23.3002i 0.822549 + 1.21296i
\(370\) −5.19857 + 19.4013i −0.270261 + 1.00863i
\(371\) −13.0619 + 6.81981i −0.678143 + 0.354067i
\(372\) −6.26558 4.45745i −0.324855 0.231108i
\(373\) 1.41011 0.0730125 0.0365063 0.999333i \(-0.488377\pi\)
0.0365063 + 0.999333i \(0.488377\pi\)
\(374\) −8.84536 −0.457383
\(375\) −11.3553 + 15.9615i −0.586386 + 0.824249i
\(376\) 3.64013 + 2.10163i 0.187726 + 0.108383i
\(377\) 2.26709 + 2.52313i 0.116761 + 0.129948i
\(378\) −2.68990 13.4820i −0.138353 0.693439i
\(379\) −15.7641 + 4.22399i −0.809749 + 0.216972i −0.639860 0.768492i \(-0.721008\pi\)
−0.169889 + 0.985463i \(0.554341\pi\)
\(380\) 0.913002 0.527122i 0.0468360 0.0270408i
\(381\) 3.38308 9.08286i 0.173320 0.465329i
\(382\) −1.24614 + 4.65067i −0.0637582 + 0.237949i
\(383\) −17.5749 + 17.5749i −0.898038 + 0.898038i −0.995262 0.0972248i \(-0.969003\pi\)
0.0972248 + 0.995262i \(0.469003\pi\)
\(384\) 1.72428 + 0.163866i 0.0879919 + 0.00836224i
\(385\) 6.61864 10.4171i 0.337317 0.530904i
\(386\) −0.728336 + 0.420505i −0.0370713 + 0.0214032i
\(387\) −5.26644 + 6.08886i −0.267708 + 0.309514i
\(388\) −12.6322 + 12.6322i −0.641305 + 0.641305i
\(389\) 5.33488 + 9.24029i 0.270489 + 0.468501i 0.968987 0.247111i \(-0.0794812\pi\)
−0.698498 + 0.715612i \(0.746148\pi\)
\(390\) 13.6458 + 2.03654i 0.690983 + 0.103124i
\(391\) 20.2345 1.02330
\(392\) 4.51253 + 5.35136i 0.227917 + 0.270285i
\(393\) 0.790474 2.12226i 0.0398741 0.107054i
\(394\) 14.2030i 0.715536i
\(395\) 7.57997 + 2.03105i 0.381390 + 0.102193i
\(396\) 3.55518 + 5.24260i 0.178655 + 0.263451i
\(397\) 14.0420 14.0420i 0.704746 0.704746i −0.260679 0.965425i \(-0.583947\pi\)
0.965425 + 0.260679i \(0.0839465\pi\)
\(398\) 5.05322 + 5.05322i 0.253295 + 0.253295i
\(399\) −1.34206 + 1.72649i −0.0671870 + 0.0864326i
\(400\) 0.103127 + 0.0595401i 0.00515633 + 0.00297701i
\(401\) −1.90657 + 7.11542i −0.0952096 + 0.355327i −0.997051 0.0767398i \(-0.975549\pi\)
0.901842 + 0.432067i \(0.142216\pi\)
\(402\) −11.3338 + 9.36659i −0.565280 + 0.467163i
\(403\) −8.73182 + 13.4153i −0.434963 + 0.668262i
\(404\) −7.05798 4.07493i −0.351148 0.202735i
\(405\) −15.9390 11.8871i −0.792016 0.590673i
\(406\) 1.68382 + 1.83309i 0.0835665 + 0.0909747i
\(407\) 9.59816 + 16.6245i 0.475763 + 0.824046i
\(408\) −3.01720 6.59889i −0.149374 0.326694i
\(409\) 38.9605 10.4394i 1.92647 0.516196i 0.943933 0.330137i \(-0.107095\pi\)
0.982538 0.186060i \(-0.0595717\pi\)
\(410\) −20.0258 + 5.36590i −0.989004 + 0.265003i
\(411\) −12.2055 26.6945i −0.602052 1.31674i
\(412\) 6.30805 + 10.9259i 0.310775 + 0.538279i
\(413\) −36.8749 + 8.22199i −1.81450 + 0.404578i
\(414\) −8.13279 11.9929i −0.399705 0.589419i
\(415\) 19.9399 + 11.5123i 0.978812 + 0.565117i
\(416\) 0.192444 3.60041i 0.00943534 0.176525i
\(417\) 0.0214525 0.0177290i 0.00105054 0.000868191i
\(418\) 0.260776 0.973230i 0.0127550 0.0476022i
\(419\) 13.8736 + 8.00994i 0.677771 + 0.391311i 0.799015 0.601312i \(-0.205355\pi\)
−0.121244 + 0.992623i \(0.538688\pi\)
\(420\) 10.0291 + 1.38436i 0.489370 + 0.0675500i
\(421\) 14.1022 + 14.1022i 0.687301 + 0.687301i 0.961635 0.274334i \(-0.0884573\pi\)
−0.274334 + 0.961635i \(0.588457\pi\)
\(422\) 9.77338 9.77338i 0.475761 0.475761i
\(423\) −10.4364 + 7.07728i −0.507436 + 0.344109i
\(424\) 5.37959 + 1.44146i 0.261256 + 0.0700033i
\(425\) 0.498854i 0.0241980i
\(426\) 3.74721 10.0605i 0.181553 0.487433i
\(427\) 10.6871 + 0.453598i 0.517184 + 0.0219511i
\(428\) 0.548012 0.0264892
\(429\) 10.5981 7.84551i 0.511680 0.378785i
\(430\) −2.96428 5.13428i −0.142950 0.247597i
\(431\) −22.4057 + 22.4057i −1.07924 + 1.07924i −0.0826660 + 0.996577i \(0.526343\pi\)
−0.996577 + 0.0826660i \(0.973657\pi\)
\(432\) −2.69844 + 4.44055i −0.129829 + 0.213646i
\(433\) 23.8503 13.7700i 1.14617 0.661744i 0.198222 0.980157i \(-0.436483\pi\)
0.947952 + 0.318414i \(0.103150\pi\)
\(434\) −6.29892 + 9.91389i −0.302358 + 0.475882i
\(435\) 3.58383 + 0.340586i 0.171831 + 0.0163298i
\(436\) −6.42204 + 6.42204i −0.307560 + 0.307560i
\(437\) −0.596548 + 2.22635i −0.0285368 + 0.106501i
\(438\) 4.20667 11.2940i 0.201002 0.539650i
\(439\) −1.60920 + 0.929070i −0.0768028 + 0.0443421i −0.537910 0.843003i \(-0.680786\pi\)
0.461107 + 0.887345i \(0.347452\pi\)
\(440\) −4.50585 + 1.20734i −0.214808 + 0.0575576i
\(441\) −20.3510 + 5.18049i −0.969094 + 0.246690i
\(442\) −13.4653 + 6.84329i −0.640479 + 0.325502i
\(443\) 27.1823 + 15.6937i 1.29147 + 0.745631i 0.978915 0.204269i \(-0.0654817\pi\)
0.312555 + 0.949900i \(0.398815\pi\)
\(444\) −9.12837 + 12.8312i −0.433213 + 0.608943i
\(445\) −34.8981 −1.65433
\(446\) −4.18039 −0.197947
\(447\) −14.6793 10.4431i −0.694307 0.493943i
\(448\) 0.112194 2.64337i 0.00530068 0.124888i
\(449\) −1.27900 + 4.77331i −0.0603600 + 0.225266i −0.989516 0.144420i \(-0.953868\pi\)
0.929156 + 0.369687i \(0.120535\pi\)
\(450\) −0.295668 + 0.200502i −0.0139379 + 0.00945177i
\(451\) −9.90711 + 17.1596i −0.466508 + 0.808015i
\(452\) −6.65750 −0.313142
\(453\) 2.50431 26.3517i 0.117663 1.23811i
\(454\) 11.3026i 0.530458i
\(455\) 2.01629 20.9785i 0.0945251 0.983488i
\(456\) 0.815010 0.137428i 0.0381663 0.00643565i
\(457\) 0.529511 1.97616i 0.0247695 0.0924410i −0.952435 0.304743i \(-0.901429\pi\)
0.977204 + 0.212302i \(0.0680961\pi\)
\(458\) 1.97825i 0.0924374i
\(459\) 21.7624 + 0.488636i 1.01578 + 0.0228076i
\(460\) 10.3075 2.76189i 0.480590 0.128774i
\(461\) −36.8262 9.86755i −1.71517 0.459578i −0.738485 0.674270i \(-0.764459\pi\)
−0.976682 + 0.214692i \(0.931125\pi\)
\(462\) 7.71318 5.84208i 0.358850 0.271798i
\(463\) 13.6453 13.6453i 0.634149 0.634149i −0.314957 0.949106i \(-0.601990\pi\)
0.949106 + 0.314957i \(0.101990\pi\)
\(464\) 0.940779i 0.0436746i
\(465\) 2.82466 + 16.7515i 0.130990 + 0.776832i
\(466\) 11.8337 11.8337i 0.548187 0.548187i
\(467\) −4.93246 + 8.54326i −0.228247 + 0.395335i −0.957289 0.289134i \(-0.906633\pi\)
0.729042 + 0.684469i \(0.239966\pi\)
\(468\) 9.46804 + 5.23032i 0.437660 + 0.241772i
\(469\) 15.1937 + 16.5406i 0.701580 + 0.763775i
\(470\) −2.40344 8.96977i −0.110863 0.413745i
\(471\) −27.9238 + 23.0770i −1.28666 + 1.06333i
\(472\) 12.3665 + 7.13983i 0.569216 + 0.328637i
\(473\) −5.47298 1.46648i −0.251648 0.0674289i
\(474\) 5.01308 + 3.56639i 0.230258 + 0.163810i
\(475\) 0.0548875 + 0.0147071i 0.00251841 + 0.000674806i
\(476\) −9.82509 + 5.12980i −0.450332 + 0.235124i
\(477\) −10.9301 + 12.6370i −0.500454 + 0.578607i
\(478\) 13.3086 7.68374i 0.608723 0.351446i
\(479\) 11.0918 + 11.0918i 0.506799 + 0.506799i 0.913542 0.406744i \(-0.133336\pi\)
−0.406744 + 0.913542i \(0.633336\pi\)
\(480\) −2.43768 2.94966i −0.111264 0.134633i
\(481\) 27.4730 + 17.8818i 1.25266 + 0.815340i
\(482\) 27.2266i 1.24014i
\(483\) −17.6446 + 13.3643i −0.802856 + 0.608096i
\(484\) 3.27088 5.66533i 0.148676 0.257515i
\(485\) 39.4681 1.79215
\(486\) −8.45725 13.0948i −0.383629 0.593994i
\(487\) −35.2651 + 9.44927i −1.59802 + 0.428187i −0.944443 0.328676i \(-0.893398\pi\)
−0.653573 + 0.756863i \(0.726731\pi\)
\(488\) −2.85881 2.85881i −0.129412 0.129412i
\(489\) 35.8340 + 25.4930i 1.62047 + 1.15283i
\(490\) 1.31042 15.4093i 0.0591986 0.696123i
\(491\) 16.2655 28.1727i 0.734053 1.27142i −0.221084 0.975255i \(-0.570960\pi\)
0.955138 0.296163i \(-0.0957071\pi\)
\(492\) −16.1809 1.53774i −0.729493 0.0693267i
\(493\) −3.41313 + 1.97057i −0.153719 + 0.0887500i
\(494\) −0.355968 1.68330i −0.0160157 0.0757353i
\(495\) 2.63608 13.7439i 0.118483 0.617741i
\(496\) 4.28819 1.14902i 0.192545 0.0515924i
\(497\) −15.6460 4.91228i −0.701821 0.220346i
\(498\) 11.4992 + 13.9143i 0.515291 + 0.623517i
\(499\) 33.1116 8.87224i 1.48228 0.397176i 0.575158 0.818042i \(-0.304941\pi\)
0.907123 + 0.420866i \(0.138274\pi\)
\(500\) −2.92711 10.9241i −0.130904 0.488542i
\(501\) 4.87116 + 10.6537i 0.217627 + 0.475970i
\(502\) 4.90196 + 18.2944i 0.218785 + 0.816518i
\(503\) 9.85823 5.69165i 0.439557 0.253778i −0.263853 0.964563i \(-0.584993\pi\)
0.703410 + 0.710785i \(0.251660\pi\)
\(504\) 6.98937 + 3.76148i 0.311331 + 0.167550i
\(505\) 4.66012 + 17.3918i 0.207372 + 0.773925i
\(506\) 5.09931 8.83226i 0.226692 0.392642i
\(507\) 10.0637 20.1425i 0.446946 0.894561i
\(508\) 2.79797 + 4.84622i 0.124140 + 0.215016i
\(509\) 26.3143 + 7.05090i 1.16636 + 0.312525i 0.789504 0.613746i \(-0.210338\pi\)
0.376857 + 0.926271i \(0.377005\pi\)
\(510\) −5.59530 + 15.0222i −0.247764 + 0.665196i
\(511\) −17.5644 5.51459i −0.777005 0.243951i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −0.695355 + 2.38005i −0.0307007 + 0.105082i
\(514\) −3.77856 14.1018i −0.166665 0.622002i
\(515\) 7.21394 26.9228i 0.317884 1.18636i
\(516\) −0.772829 4.58322i −0.0340219 0.201765i
\(517\) −7.68598 4.43750i −0.338029 0.195161i
\(518\) 20.3025 + 12.8995i 0.892042 + 0.566771i
\(519\) 1.93358 + 11.4670i 0.0848749 + 0.503346i
\(520\) −5.92519 + 5.32392i −0.259837 + 0.233469i
\(521\) 23.4026 13.5115i 1.02529 0.591949i 0.109655 0.993970i \(-0.465025\pi\)
0.915631 + 0.402021i \(0.131692\pi\)
\(522\) 2.53977 + 1.23092i 0.111163 + 0.0538759i
\(523\) 12.7790 + 22.1340i 0.558789 + 0.967850i 0.997598 + 0.0692700i \(0.0220670\pi\)
−0.438809 + 0.898580i \(0.644600\pi\)
\(524\) 0.653760 + 1.13235i 0.0285597 + 0.0494668i
\(525\) 0.329477 + 0.435002i 0.0143796 + 0.0189850i
\(526\) −4.54426 + 16.9594i −0.198139 + 0.739465i
\(527\) −13.1507 13.1507i −0.572853 0.572853i
\(528\) −3.64074 0.345995i −0.158443 0.0150575i
\(529\) −0.165110 + 0.285979i −0.00717869 + 0.0124338i
\(530\) −6.15214 10.6558i −0.267232 0.462859i
\(531\) −35.4554 + 24.0435i −1.53863 + 1.04340i
\(532\) −0.274757 1.23226i −0.0119122 0.0534254i
\(533\) −1.80592 + 33.7868i −0.0782232 + 1.46347i
\(534\) −25.6390 9.54969i −1.10951 0.413256i
\(535\) −0.856103 0.856103i −0.0370126 0.0370126i
\(536\) 8.48899i 0.366669i
\(537\) 1.26607 + 7.50836i 0.0546349 + 0.324010i
\(538\) 8.27945 + 8.27945i 0.356952 + 0.356952i
\(539\) −9.52801 11.2992i −0.410400 0.486689i
\(540\) 11.1525 2.72152i 0.479927 0.117116i
\(541\) −3.03870 11.3406i −0.130644 0.487569i 0.869334 0.494225i \(-0.164548\pi\)
−0.999978 + 0.00665574i \(0.997881\pi\)
\(542\) −11.6578 6.73066i −0.500747 0.289107i
\(543\) 45.9050 7.74056i 1.96997 0.332179i
\(544\) 4.04648 + 1.08425i 0.173492 + 0.0464869i
\(545\) 20.0650 0.859490
\(546\) 7.22200 14.8608i 0.309073 0.635983i
\(547\) 40.5275 1.73283 0.866415 0.499324i \(-0.166418\pi\)
0.866415 + 0.499324i \(0.166418\pi\)
\(548\) 16.3692 + 4.38612i 0.699258 + 0.187366i
\(549\) 11.4583 3.97730i 0.489027 0.169747i
\(550\) −0.217747 0.125716i −0.00928476 0.00536056i
\(551\) −0.116191 0.433632i −0.00494992 0.0184734i
\(552\) 8.32852 + 0.791494i 0.354485 + 0.0336882i
\(553\) 5.03975 7.93208i 0.214312 0.337306i
\(554\) 2.11698 + 2.11698i 0.0899418 + 0.0899418i
\(555\) 34.3052 5.78458i 1.45617 0.245542i
\(556\) 0.0160678i 0.000681428i
\(557\) 24.4821 + 24.4821i 1.03734 + 1.03734i 0.999275 + 0.0380657i \(0.0121196\pi\)
0.0380657 + 0.999275i \(0.487880\pi\)
\(558\) −2.50874 + 13.0800i −0.106204 + 0.553719i
\(559\) −9.46608 + 2.00179i −0.400373 + 0.0846668i
\(560\) −4.30474 + 3.95420i −0.181908 + 0.167095i
\(561\) 6.37069 + 13.9333i 0.268971 + 0.588263i
\(562\) −5.51134 9.54592i −0.232482 0.402670i
\(563\) 15.6649 27.1323i 0.660195 1.14349i −0.320369 0.947293i \(-0.603807\pi\)
0.980564 0.196199i \(-0.0628597\pi\)
\(564\) 0.688771 7.24761i 0.0290025 0.305179i
\(565\) 10.4003 + 10.4003i 0.437545 + 0.437545i
\(566\) −1.44444 + 5.39074i −0.0607145 + 0.226590i
\(567\) −19.2996 + 13.9473i −0.810506 + 0.585730i
\(568\) 3.09913 + 5.36785i 0.130037 + 0.225230i
\(569\) 18.1789 + 31.4868i 0.762098 + 1.31999i 0.941767 + 0.336266i \(0.109164\pi\)
−0.179669 + 0.983727i \(0.557503\pi\)
\(570\) −1.48789 1.05852i −0.0623211 0.0443364i
\(571\) 19.2095 11.0906i 0.803891 0.464126i −0.0409392 0.999162i \(-0.513035\pi\)
0.844830 + 0.535035i \(0.179702\pi\)
\(572\) −0.406336 + 7.60211i −0.0169898 + 0.317860i
\(573\) 8.22326 1.38662i 0.343532 0.0579267i
\(574\) −1.05285 + 24.8058i −0.0439450 + 1.03537i
\(575\) 0.498115 + 0.287587i 0.0207728 + 0.0119932i
\(576\) −0.983756 2.83412i −0.0409898 0.118088i
\(577\) −8.72943 + 32.5787i −0.363411 + 1.35627i 0.506151 + 0.862445i \(0.331068\pi\)
−0.869562 + 0.493823i \(0.835599\pi\)
\(578\) −0.142252 0.530893i −0.00591692 0.0220823i
\(579\) 1.18695 + 0.844419i 0.0493280 + 0.0350929i
\(580\) −1.46968 + 1.46968i −0.0610253 + 0.0610253i
\(581\) 20.3066 18.6530i 0.842461 0.773858i
\(582\) 28.9965 + 10.8003i 1.20194 + 0.447685i
\(583\) −11.3588 3.04357i −0.470432 0.126052i
\(584\) 3.47912 + 6.02601i 0.143967 + 0.249358i
\(585\) −6.62015 22.9617i −0.273709 0.949351i
\(586\) 8.66040 15.0003i 0.357758 0.619655i
\(587\) −11.4129 42.5935i −0.471061 1.75802i −0.635970 0.771714i \(-0.719400\pi\)
0.164909 0.986309i \(-0.447267\pi\)
\(588\) 5.17943 10.9624i 0.213596 0.452080i
\(589\) 1.83464 1.05923i 0.0755950 0.0436448i
\(590\) −8.16516 30.4728i −0.336154 1.25454i
\(591\) −22.3726 + 10.2294i −0.920286 + 0.420781i
\(592\) −2.35306 8.78173i −0.0967101 0.360927i
\(593\) −24.8024 + 6.64578i −1.01851 + 0.272909i −0.729182 0.684320i \(-0.760099\pi\)
−0.289330 + 0.957229i \(0.593432\pi\)
\(594\) 5.69762 9.37601i 0.233776 0.384702i
\(595\) 23.3625 + 7.33497i 0.957769 + 0.300704i
\(596\) 10.0466 2.69197i 0.411524 0.110267i
\(597\) 4.32038 11.5993i 0.176822 0.474729i
\(598\) 0.929530 17.3905i 0.0380113 0.711150i
\(599\) −0.0523660 + 0.0302335i −0.00213962 + 0.00123531i −0.501069 0.865407i \(-0.667060\pi\)
0.498930 + 0.866642i \(0.333727\pi\)
\(600\) 0.0195132 0.205328i 0.000796622 0.00838248i
\(601\) −5.10069 + 8.83465i −0.208061 + 0.360373i −0.951104 0.308872i \(-0.900049\pi\)
0.743042 + 0.669244i \(0.233382\pi\)
\(602\) −6.92966 + 1.54510i −0.282432 + 0.0629737i
\(603\) 22.9173 + 11.1070i 0.933263 + 0.452313i
\(604\) 10.8065 + 10.8065i 0.439711 + 0.439711i
\(605\) −13.9601 + 3.74060i −0.567560 + 0.152077i
\(606\) −1.33548 + 14.0526i −0.0542502 + 0.570850i
\(607\) −0.527175 −0.0213974 −0.0106987 0.999943i \(-0.503406\pi\)
−0.0106987 + 0.999943i \(0.503406\pi\)
\(608\) −0.238594 + 0.413257i −0.00967628 + 0.0167598i
\(609\) 1.67476 3.97260i 0.0678645 0.160978i
\(610\) 8.93206i 0.361649i
\(611\) −15.1335 0.808892i −0.612235 0.0327243i
\(612\) −8.22153 + 9.50542i −0.332335 + 0.384234i
\(613\) −5.56818 5.56818i −0.224897 0.224897i 0.585660 0.810557i \(-0.300835\pi\)
−0.810557 + 0.585660i \(0.800835\pi\)
\(614\) 5.77169 3.33229i 0.232927 0.134480i
\(615\) 22.8755 + 27.6801i 0.922431 + 1.11617i
\(616\) −0.236893 + 5.58136i −0.00954469 + 0.224879i
\(617\) 35.0869 + 9.40151i 1.41255 + 0.378491i 0.882833 0.469686i \(-0.155633\pi\)
0.529713 + 0.848177i \(0.322300\pi\)
\(618\) 12.6672 17.8056i 0.509551 0.716246i
\(619\) 21.3680 + 5.72554i 0.858853 + 0.230129i 0.661261 0.750156i \(-0.270021\pi\)
0.197591 + 0.980284i \(0.436688\pi\)
\(620\) −8.49398 4.90400i −0.341127 0.196950i
\(621\) −13.0338 + 21.4484i −0.523029 + 0.860696i
\(622\) −4.49219 16.7651i −0.180121 0.672219i
\(623\) −12.5188 + 39.8736i −0.501557 + 1.59750i
\(624\) −5.80999 + 2.28998i −0.232586 + 0.0916727i
\(625\) −12.1952 + 21.1227i −0.487808 + 0.844909i
\(626\) −0.991259 + 0.991259i −0.0396187 + 0.0396187i
\(627\) −1.72086 + 0.290173i −0.0687244 + 0.0115884i
\(628\) 20.9148i 0.834592i
\(629\) −26.9312 + 26.9312i −1.07382 + 1.07382i
\(630\) −5.04260 16.7949i −0.200902 0.669127i
\(631\) −2.70265 0.724172i −0.107591 0.0288288i 0.204622 0.978841i \(-0.434403\pi\)
−0.312213 + 0.950012i \(0.601070\pi\)
\(632\) −3.43097 + 0.919325i −0.136477 + 0.0365688i
\(633\) −22.4342 8.35601i −0.891678 0.332121i
\(634\) 25.6142i 1.01727i
\(635\) 3.19978 11.9417i 0.126979 0.473893i
\(636\) −1.60395 9.51213i −0.0636006 0.377180i
\(637\) −23.2462 9.82930i −0.921047 0.389451i
\(638\) 1.98641i 0.0786428i
\(639\) −18.5462 + 1.34323i −0.733676 + 0.0531375i
\(640\) 2.20928 0.0873295
\(641\) −0.930813 + 1.61221i −0.0367649 + 0.0636787i −0.883822 0.467823i \(-0.845039\pi\)
0.847057 + 0.531501i \(0.178372\pi\)
\(642\) −0.394694 0.863231i −0.0155773 0.0340690i
\(643\) 4.16762 15.5538i 0.164355 0.613381i −0.833767 0.552117i \(-0.813820\pi\)
0.998122 0.0612638i \(-0.0195131\pi\)
\(644\) 0.541913 12.7678i 0.0213544 0.503124i
\(645\) −5.95259 + 8.36721i −0.234383 + 0.329459i
\(646\) 1.99905 0.0786516
\(647\) 1.45851 0.0573401 0.0286701 0.999589i \(-0.490873\pi\)
0.0286701 + 0.999589i \(0.490873\pi\)
\(648\) 8.93826 + 1.05238i 0.351128 + 0.0413414i
\(649\) −26.1114 15.0754i −1.02496 0.591762i
\(650\) −0.428738 0.0229163i −0.0168165 0.000898849i
\(651\) 20.1531 + 2.78182i 0.789861 + 0.109028i
\(652\) −24.5250 + 6.57144i −0.960471 + 0.257358i
\(653\) −39.0756 + 22.5603i −1.52915 + 0.882852i −0.529747 + 0.848155i \(0.677713\pi\)
−0.999398 + 0.0346969i \(0.988953\pi\)
\(654\) 14.7414 + 5.49069i 0.576433 + 0.214703i
\(655\) 0.747645 2.79025i 0.0292129 0.109024i
\(656\) 6.63560 6.63560i 0.259077 0.259077i
\(657\) −20.8202 + 1.50793i −0.812273 + 0.0588300i
\(658\) −11.1108 0.471582i −0.433144 0.0183842i
\(659\) −6.23306 + 3.59866i −0.242805 + 0.140184i −0.616465 0.787382i \(-0.711436\pi\)
0.373660 + 0.927566i \(0.378103\pi\)
\(660\) 5.14705 + 6.22807i 0.200348 + 0.242427i
\(661\) −8.25522 + 8.25522i −0.321091 + 0.321091i −0.849185 0.528095i \(-0.822907\pi\)
0.528095 + 0.849185i \(0.322907\pi\)
\(662\) −2.25297 3.90225i −0.0875641 0.151665i
\(663\) 20.4777 + 16.2819i 0.795287 + 0.632336i
\(664\) −10.4218 −0.404444
\(665\) −1.49581 + 2.35426i −0.0580051 + 0.0912944i
\(666\) 26.7863 + 5.13763i 1.03795 + 0.199079i
\(667\) 4.54409i 0.175948i
\(668\) −6.53289 1.75048i −0.252765 0.0677282i
\(669\) 3.01084 + 6.58496i 0.116406 + 0.254589i
\(670\) −13.2615 + 13.2615i −0.512336 + 0.512336i
\(671\) 6.03626 + 6.03626i 0.233027 + 0.233027i
\(672\) −4.24466 + 1.72710i −0.163741 + 0.0666245i
\(673\) 10.8414 + 6.25926i 0.417903 + 0.241277i 0.694180 0.719802i \(-0.255767\pi\)
−0.276276 + 0.961078i \(0.589101\pi\)
\(674\) −8.98245 + 33.5230i −0.345991 + 1.29126i
\(675\) 0.528781 + 0.321330i 0.0203528 + 0.0123680i
\(676\) 5.26287 + 11.8871i 0.202418 + 0.457195i
\(677\) 26.6494 + 15.3860i 1.02422 + 0.591333i 0.915323 0.402721i \(-0.131935\pi\)
0.108895 + 0.994053i \(0.465269\pi\)
\(678\) 4.79492 + 10.4869i 0.184148 + 0.402748i
\(679\) 14.1582 45.0952i 0.543343 1.73059i
\(680\) −4.62759 8.01522i −0.177460 0.307370i
\(681\) −17.8039 + 8.14047i −0.682248 + 0.311943i
\(682\) −9.05431 + 2.42610i −0.346708 + 0.0929000i
\(683\) 33.6861 9.02617i 1.28896 0.345377i 0.451697 0.892171i \(-0.350819\pi\)
0.837267 + 0.546795i \(0.184152\pi\)
\(684\) −0.803471 1.18483i −0.0307215 0.0453030i
\(685\) −18.7200 32.4239i −0.715253 1.23885i
\(686\) −17.1362 7.02498i −0.654264 0.268215i
\(687\) −3.11614 + 1.42479i −0.118888 + 0.0543591i
\(688\) 2.32396 + 1.34174i 0.0886002 + 0.0511534i
\(689\) −19.6461 + 4.15457i −0.748458 + 0.158276i
\(690\) −11.7743 14.2473i −0.448241 0.542384i
\(691\) −10.6296 + 39.6701i −0.404368 + 1.50912i 0.400852 + 0.916143i \(0.368714\pi\)
−0.805219 + 0.592977i \(0.797952\pi\)
\(692\) −5.81445 3.35697i −0.221032 0.127613i
\(693\) −14.7577 7.94220i −0.560600 0.301699i
\(694\) −11.1992 11.1992i −0.425116 0.425116i
\(695\) 0.0251011 0.0251011i 0.000952141 0.000952141i
\(696\) −1.48192 + 0.677577i −0.0561720 + 0.0256835i
\(697\) −37.9728 10.1748i −1.43832 0.385398i
\(698\) 30.6809i 1.16129i
\(699\) −27.1635 10.1175i −1.02742 0.382681i
\(700\) −0.314773 0.0133601i −0.0118973 0.000504965i
\(701\) 33.7188 1.27354 0.636771 0.771053i \(-0.280270\pi\)
0.636771 + 0.771053i \(0.280270\pi\)
\(702\) 1.41967 18.6811i 0.0535821 0.705074i
\(703\) −2.16918 3.75714i −0.0818123 0.141703i
\(704\) 1.49302 1.49302i 0.0562705 0.0562705i
\(705\) −12.3982 + 10.2462i −0.466943 + 0.385894i
\(706\) −9.51361 + 5.49269i −0.358049 + 0.206720i
\(707\) 21.5431 + 0.914366i 0.810211 + 0.0343883i
\(708\) 2.33995 24.6221i 0.0879405 0.925357i
\(709\) 5.99300 5.99300i 0.225072 0.225072i −0.585558 0.810630i \(-0.699125\pi\)
0.810630 + 0.585558i \(0.199125\pi\)
\(710\) 3.54419 13.2271i 0.133011 0.496404i
\(711\) 2.00724 10.4652i 0.0752774 0.392477i
\(712\) 13.6798 7.89806i 0.512674 0.295992i
\(713\) 20.7125 5.54991i 0.775690 0.207846i
\(714\) 15.1568 + 11.7819i 0.567229 + 0.440927i
\(715\) 12.5108 11.2412i 0.467876 0.420397i
\(716\) −3.80718 2.19808i −0.142281 0.0821459i
\(717\) −21.6887 15.4298i −0.809981 0.576235i
\(718\) 3.25798 0.121587
\(719\) −0.827456 −0.0308589 −0.0154294 0.999881i \(-0.504912\pi\)
−0.0154294 + 0.999881i \(0.504912\pi\)
\(720\) −2.89063 + 5.96427i −0.107727 + 0.222275i
\(721\) −28.1734 17.9003i −1.04923 0.666644i
\(722\) 4.85863 18.1326i 0.180819 0.674827i
\(723\) −42.8875 + 19.6094i −1.59500 + 0.729281i
\(724\) −13.4387 + 23.2765i −0.499446 + 0.865065i
\(725\) −0.112028 −0.00416062
\(726\) −11.2798 1.07197i −0.418634 0.0397845i
\(727\) 4.04016i 0.149841i −0.997190 0.0749206i \(-0.976130\pi\)
0.997190 0.0749206i \(-0.0238703\pi\)
\(728\) 3.95744 + 8.67978i 0.146673 + 0.321694i
\(729\) −14.5359 + 22.7532i −0.538367 + 0.842711i
\(730\) 3.97875 14.8489i 0.147260 0.549582i
\(731\) 11.2417i 0.415790i
\(732\) −2.44422 + 6.56222i −0.0903409 + 0.242547i
\(733\) −36.5502 + 9.79359i −1.35001 + 0.361735i −0.860139 0.510059i \(-0.829623\pi\)
−0.489873 + 0.871794i \(0.662957\pi\)
\(734\) −19.9057 5.33373i −0.734735 0.196872i
\(735\) −25.2167 + 9.03408i −0.930131 + 0.333227i
\(736\) −3.41542 + 3.41542i −0.125894 + 0.125894i
\(737\) 17.9241i 0.660243i
\(738\) 9.23172 + 26.5958i 0.339824 + 0.979005i
\(739\) 27.5299 27.5299i 1.01270 1.01270i 0.0127856 0.999918i \(-0.495930\pi\)
0.999918 0.0127856i \(-0.00406990\pi\)
\(740\) −10.0429 + 17.3947i −0.369183 + 0.639443i
\(741\) −2.39517 + 1.77308i −0.0879886 + 0.0651359i
\(742\) −14.3820 + 3.20675i −0.527979 + 0.117723i
\(743\) −1.98573 7.41084i −0.0728493 0.271877i 0.919888 0.392182i \(-0.128280\pi\)
−0.992737 + 0.120305i \(0.961613\pi\)
\(744\) −4.89841 5.92722i −0.179585 0.217302i
\(745\) −19.9001 11.4893i −0.729084 0.420937i
\(746\) 1.36206 + 0.364962i 0.0498685 + 0.0133622i
\(747\) 13.6359 28.1351i 0.498911 1.02941i
\(748\) −8.54396 2.28935i −0.312398 0.0837069i
\(749\) −1.28527 + 0.671053i −0.0469626 + 0.0245198i
\(750\) −15.0995 + 12.4787i −0.551357 + 0.455657i
\(751\) 32.2926 18.6442i 1.17837 0.680335i 0.222737 0.974879i \(-0.428501\pi\)
0.955638 + 0.294544i \(0.0951676\pi\)
\(752\) 2.97216 + 2.97216i 0.108383 + 0.108383i
\(753\) 25.2868 20.8977i 0.921504 0.761556i
\(754\) 1.53681 + 3.02392i 0.0559671 + 0.110125i
\(755\) 33.7638i 1.22879i
\(756\) 0.891157 13.7188i 0.0324111 0.498948i
\(757\) −6.78893 + 11.7588i −0.246748 + 0.427380i −0.962622 0.270850i \(-0.912695\pi\)
0.715874 + 0.698230i \(0.246029\pi\)
\(758\) −16.3202 −0.592777
\(759\) −17.5853 1.67120i −0.638305 0.0606608i
\(760\) 1.01832 0.272858i 0.0369384 0.00989761i
\(761\) 5.56319 + 5.56319i 0.201665 + 0.201665i 0.800713 0.599048i \(-0.204454\pi\)
−0.599048 + 0.800713i \(0.704454\pi\)
\(762\) 5.61862 7.89777i 0.203541 0.286106i
\(763\) 7.19783 22.9257i 0.260579 0.829966i
\(764\) −2.40736 + 4.16967i −0.0870953 + 0.150853i
\(765\) 27.6930 2.00570i 1.00124 0.0725163i
\(766\) −21.5248 + 12.4274i −0.777723 + 0.449019i
\(767\) −51.4126 2.74803i −1.85640 0.0992256i
\(768\) 1.62312 + 0.604559i 0.0585692 + 0.0218151i
\(769\) 17.5074 4.69109i 0.631333 0.169165i 0.0710583 0.997472i \(-0.477362\pi\)
0.560274 + 0.828307i \(0.310696\pi\)
\(770\) 9.08926 8.34911i 0.327554 0.300881i
\(771\) −19.4917 + 16.1085i −0.701978 + 0.580134i
\(772\) −0.812354 + 0.217670i −0.0292372 + 0.00783410i
\(773\) −7.25258 27.0670i −0.260857 0.973533i −0.964737 0.263214i \(-0.915217\pi\)
0.703880 0.710319i \(-0.25144