Properties

Label 770.2.bd.a.527.31
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.31
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.66804 - 0.446949i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-2.10823 - 0.745241i) q^{5} -1.72688i q^{6} +(1.49658 + 2.18180i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.0154982 - 0.00894790i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.66804 - 0.446949i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-2.10823 - 0.745241i) q^{5} -1.72688i q^{6} +(1.49658 + 2.18180i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.0154982 - 0.00894790i) q^{9} +(0.174199 - 2.22927i) q^{10} +(-1.04087 - 3.14906i) q^{11} +(1.66804 - 0.446949i) q^{12} +(2.15820 + 2.15820i) q^{13} +(-1.72011 + 2.01028i) q^{14} +(3.18351 + 2.18536i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.94259 - 0.788464i) q^{17} +(0.00463178 - 0.0172860i) q^{18} +(0.776257 - 1.34452i) q^{19} +(2.19840 - 0.408715i) q^{20} +(-1.52120 - 4.30821i) q^{21} +(2.77236 - 1.82044i) q^{22} +(-0.955268 - 3.56511i) q^{23} +(0.863439 + 1.49552i) q^{24} +(3.88923 + 3.14227i) q^{25} +(-1.52608 + 2.64324i) q^{26} +(3.68511 + 3.68511i) q^{27} +(-2.38698 - 1.14120i) q^{28} +8.75642 q^{29} +(-1.28694 + 3.64065i) q^{30} +(3.11504 + 5.39541i) q^{31} +(0.965926 + 0.258819i) q^{32} +(0.328745 + 5.71796i) q^{33} -3.04639i q^{34} +(-1.52916 - 5.71504i) q^{35} +0.0178958 q^{36} +(7.25971 - 1.94523i) q^{37} +(1.49961 + 0.401820i) q^{38} +(-2.63535 - 4.56456i) q^{39} +(0.963776 + 2.01771i) q^{40} -6.18993i q^{41} +(3.76770 - 2.58441i) q^{42} +(6.93669 + 6.93669i) q^{43} +(2.47595 + 2.20673i) q^{44} +(0.0260054 + 0.0304141i) q^{45} +(3.19639 - 1.84544i) q^{46} +(1.73493 - 0.464873i) q^{47} +(-1.22109 + 1.22109i) q^{48} +(-2.52050 + 6.53048i) q^{49} +(-2.02860 + 4.56999i) q^{50} +(4.55593 + 2.63037i) q^{51} +(-2.94816 - 0.789956i) q^{52} +(8.78311 + 2.35343i) q^{53} +(-2.60577 + 4.51332i) q^{54} +(-0.152413 + 7.41463i) q^{55} +(0.484523 - 2.60101i) q^{56} +(-1.89575 + 1.89575i) q^{57} +(2.26633 + 8.45805i) q^{58} +(-4.01387 + 2.31741i) q^{59} +(-3.84968 - 0.300820i) q^{60} +(-7.39576 - 4.26995i) q^{61} +(-4.40534 + 4.40534i) q^{62} +(-0.00367181 - 0.0472053i) q^{63} +1.00000i q^{64} +(-2.94159 - 6.15835i) q^{65} +(-5.43804 + 1.79746i) q^{66} +(4.01993 - 15.0026i) q^{67} +(2.94259 - 0.788464i) q^{68} +6.37368i q^{69} +(5.12453 - 2.95622i) q^{70} +4.05504 q^{71} +(0.00463178 + 0.0172860i) q^{72} +(2.81204 - 10.4947i) q^{73} +(3.75790 + 6.50888i) q^{74} +(-5.08294 - 6.97971i) q^{75} +1.55251i q^{76} +(5.31287 - 6.98380i) q^{77} +(3.72695 - 3.72695i) q^{78} +(-0.693914 + 1.20189i) q^{79} +(-1.69951 + 1.45316i) q^{80} +(-4.47300 - 7.74746i) q^{81} +(5.97901 - 1.60207i) q^{82} +(6.01057 + 6.01057i) q^{83} +(3.47150 + 2.97042i) q^{84} +(5.61604 + 3.85520i) q^{85} +(-4.90498 + 8.49568i) q^{86} +(-14.6060 - 3.91367i) q^{87} +(-1.49071 + 2.96273i) q^{88} +(-12.4567 - 7.19191i) q^{89} +(-0.0226471 + 0.0329910i) q^{90} +(-1.47884 + 7.93868i) q^{91} +(2.60984 + 2.60984i) q^{92} +(-2.78453 - 10.3920i) q^{93} +(0.898066 + 1.55550i) q^{94} +(-2.63851 + 2.25605i) q^{95} +(-1.49552 - 0.863439i) q^{96} +(-6.27407 - 6.27407i) q^{97} +(-6.96031 - 0.744400i) q^{98} +(-0.0120458 + 0.0581185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) −1.66804 0.446949i −0.963041 0.258046i −0.257154 0.966371i \(-0.582785\pi\)
−0.705887 + 0.708325i \(0.749451\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −2.10823 0.745241i −0.942827 0.333282i
\(6\) 1.72688i 0.704995i
\(7\) 1.49658 + 2.18180i 0.565654 + 0.824643i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −0.0154982 0.00894790i −0.00516607 0.00298263i
\(10\) 0.174199 2.22927i 0.0550864 0.704958i
\(11\) −1.04087 3.14906i −0.313835 0.949477i
\(12\) 1.66804 0.446949i 0.481520 0.129023i
\(13\) 2.15820 + 2.15820i 0.598577 + 0.598577i 0.939934 0.341357i \(-0.110886\pi\)
−0.341357 + 0.939934i \(0.610886\pi\)
\(14\) −1.72011 + 2.01028i −0.459719 + 0.537269i
\(15\) 3.18351 + 2.18536i 0.821979 + 0.564257i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.94259 0.788464i −0.713682 0.191231i −0.116331 0.993210i \(-0.537113\pi\)
−0.597351 + 0.801980i \(0.703780\pi\)
\(18\) 0.00463178 0.0172860i 0.00109172 0.00407435i
\(19\) 0.776257 1.34452i 0.178086 0.308453i −0.763139 0.646234i \(-0.776343\pi\)
0.941225 + 0.337781i \(0.109676\pi\)
\(20\) 2.19840 0.408715i 0.491577 0.0913915i
\(21\) −1.52120 4.30821i −0.331952 0.940129i
\(22\) 2.77236 1.82044i 0.591069 0.388120i
\(23\) −0.955268 3.56511i −0.199187 0.743376i −0.991143 0.132798i \(-0.957604\pi\)
0.791956 0.610578i \(-0.209063\pi\)
\(24\) 0.863439 + 1.49552i 0.176249 + 0.305272i
\(25\) 3.88923 + 3.14227i 0.777846 + 0.628455i
\(26\) −1.52608 + 2.64324i −0.299289 + 0.518383i
\(27\) 3.68511 + 3.68511i 0.709200 + 0.709200i
\(28\) −2.38698 1.14120i −0.451096 0.215667i
\(29\) 8.75642 1.62603 0.813013 0.582246i \(-0.197826\pi\)
0.813013 + 0.582246i \(0.197826\pi\)
\(30\) −1.28694 + 3.64065i −0.234962 + 0.664688i
\(31\) 3.11504 + 5.39541i 0.559478 + 0.969045i 0.997540 + 0.0701000i \(0.0223318\pi\)
−0.438062 + 0.898945i \(0.644335\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) 0.328745 + 5.71796i 0.0572272 + 0.995369i
\(34\) 3.04639i 0.522452i
\(35\) −1.52916 5.71504i −0.258476 0.966018i
\(36\) 0.0178958 0.00298263
\(37\) 7.25971 1.94523i 1.19349 0.319795i 0.393225 0.919442i \(-0.371359\pi\)
0.800264 + 0.599647i \(0.204693\pi\)
\(38\) 1.49961 + 0.401820i 0.243269 + 0.0651839i
\(39\) −2.63535 4.56456i −0.421994 0.730914i
\(40\) 0.963776 + 2.01771i 0.152386 + 0.319027i
\(41\) 6.18993i 0.966704i −0.875426 0.483352i \(-0.839419\pi\)
0.875426 0.483352i \(-0.160581\pi\)
\(42\) 3.76770 2.58441i 0.581369 0.398783i
\(43\) 6.93669 + 6.93669i 1.05784 + 1.05784i 0.998221 + 0.0596141i \(0.0189870\pi\)
0.0596141 + 0.998221i \(0.481013\pi\)
\(44\) 2.47595 + 2.20673i 0.373264 + 0.332677i
\(45\) 0.0260054 + 0.0304141i 0.00387666 + 0.00453387i
\(46\) 3.19639 1.84544i 0.471282 0.272095i
\(47\) 1.73493 0.464873i 0.253066 0.0678087i −0.130056 0.991507i \(-0.541516\pi\)
0.383122 + 0.923698i \(0.374849\pi\)
\(48\) −1.22109 + 1.22109i −0.176249 + 0.176249i
\(49\) −2.52050 + 6.53048i −0.360071 + 0.932925i
\(50\) −2.02860 + 4.56999i −0.286887 + 0.646294i
\(51\) 4.55593 + 2.63037i 0.637958 + 0.368325i
\(52\) −2.94816 0.789956i −0.408836 0.109547i
\(53\) 8.78311 + 2.35343i 1.20645 + 0.323268i 0.805369 0.592774i \(-0.201967\pi\)
0.401083 + 0.916042i \(0.368634\pi\)
\(54\) −2.60577 + 4.51332i −0.354600 + 0.614185i
\(55\) −0.152413 + 7.41463i −0.0205513 + 0.999789i
\(56\) 0.484523 2.60101i 0.0647471 0.347574i
\(57\) −1.89575 + 1.89575i −0.251099 + 0.251099i
\(58\) 2.26633 + 8.45805i 0.297583 + 1.11060i
\(59\) −4.01387 + 2.31741i −0.522561 + 0.301701i −0.737982 0.674821i \(-0.764221\pi\)
0.215421 + 0.976521i \(0.430888\pi\)
\(60\) −3.84968 0.300820i −0.496991 0.0388356i
\(61\) −7.39576 4.26995i −0.946931 0.546711i −0.0548045 0.998497i \(-0.517454\pi\)
−0.892126 + 0.451786i \(0.850787\pi\)
\(62\) −4.40534 + 4.40534i −0.559478 + 0.559478i
\(63\) −0.00367181 0.0472053i −0.000462604 0.00594730i
\(64\) 1.00000i 0.125000i
\(65\) −2.94159 6.15835i −0.364860 0.763850i
\(66\) −5.43804 + 1.79746i −0.669376 + 0.221252i
\(67\) 4.01993 15.0026i 0.491113 1.83286i −0.0596825 0.998217i \(-0.519009\pi\)
0.550795 0.834640i \(-0.314325\pi\)
\(68\) 2.94259 0.788464i 0.356841 0.0956153i
\(69\) 6.37368i 0.767301i
\(70\) 5.12453 2.95622i 0.612498 0.353336i
\(71\) 4.05504 0.481244 0.240622 0.970619i \(-0.422649\pi\)
0.240622 + 0.970619i \(0.422649\pi\)
\(72\) 0.00463178 + 0.0172860i 0.000545860 + 0.00203718i
\(73\) 2.81204 10.4947i 0.329125 1.22831i −0.580975 0.813921i \(-0.697329\pi\)
0.910100 0.414389i \(-0.136005\pi\)
\(74\) 3.75790 + 6.50888i 0.436848 + 0.756642i
\(75\) −5.08294 6.97971i −0.586927 0.805947i
\(76\) 1.55251i 0.178086i
\(77\) 5.31287 6.98380i 0.605457 0.795878i
\(78\) 3.72695 3.72695i 0.421994 0.421994i
\(79\) −0.693914 + 1.20189i −0.0780714 + 0.135224i −0.902418 0.430862i \(-0.858210\pi\)
0.824346 + 0.566086i \(0.191543\pi\)
\(80\) −1.69951 + 1.45316i −0.190011 + 0.162468i
\(81\) −4.47300 7.74746i −0.497000 0.860829i
\(82\) 5.97901 1.60207i 0.660271 0.176919i
\(83\) 6.01057 + 6.01057i 0.659746 + 0.659746i 0.955320 0.295574i \(-0.0955109\pi\)
−0.295574 + 0.955320i \(0.595511\pi\)
\(84\) 3.47150 + 2.97042i 0.378772 + 0.324100i
\(85\) 5.61604 + 3.85520i 0.609145 + 0.418155i
\(86\) −4.90498 + 8.49568i −0.528918 + 0.916113i
\(87\) −14.6060 3.91367i −1.56593 0.419589i
\(88\) −1.49071 + 2.96273i −0.158911 + 0.315828i
\(89\) −12.4567 7.19191i −1.32041 0.762340i −0.336618 0.941641i \(-0.609283\pi\)
−0.983794 + 0.179301i \(0.942616\pi\)
\(90\) −0.0226471 + 0.0329910i −0.00238721 + 0.00347756i
\(91\) −1.47884 + 7.93868i −0.155025 + 0.832200i
\(92\) 2.60984 + 2.60984i 0.272095 + 0.272095i
\(93\) −2.78453 10.3920i −0.288742 1.07760i
\(94\) 0.898066 + 1.55550i 0.0926284 + 0.160437i
\(95\) −2.63851 + 2.25605i −0.270706 + 0.231465i
\(96\) −1.49552 0.863439i −0.152636 0.0881243i
\(97\) −6.27407 6.27407i −0.637035 0.637035i 0.312788 0.949823i \(-0.398737\pi\)
−0.949823 + 0.312788i \(0.898737\pi\)
\(98\) −6.96031 0.744400i −0.703097 0.0751958i
\(99\) −0.0120458 + 0.0581185i −0.00121065 + 0.00584113i
\(100\) −4.93931 0.776672i −0.493931 0.0776672i
\(101\) 0.821255 0.474152i 0.0817180 0.0471799i −0.458584 0.888651i \(-0.651643\pi\)
0.540302 + 0.841471i \(0.318310\pi\)
\(102\) −1.36158 + 5.08148i −0.134816 + 0.503142i
\(103\) 3.08716 + 11.5214i 0.304187 + 1.13524i 0.933643 + 0.358204i \(0.116611\pi\)
−0.629457 + 0.777036i \(0.716722\pi\)
\(104\) 3.05216i 0.299289i
\(105\) −0.00363158 + 10.2163i −0.000354406 + 0.997013i
\(106\) 9.09294i 0.883184i
\(107\) 2.07577 + 7.74689i 0.200673 + 0.748920i 0.990725 + 0.135881i \(0.0433865\pi\)
−0.790053 + 0.613039i \(0.789947\pi\)
\(108\) −5.03396 1.34884i −0.484393 0.129793i
\(109\) −4.25423 7.36854i −0.407481 0.705778i 0.587126 0.809496i \(-0.300259\pi\)
−0.994607 + 0.103718i \(0.966926\pi\)
\(110\) −7.20143 + 1.77183i −0.686630 + 0.168937i
\(111\) −12.9789 −1.23190
\(112\) 2.63778 0.205177i 0.249247 0.0193874i
\(113\) 0.199487 0.199487i 0.0187662 0.0187662i −0.697661 0.716428i \(-0.745776\pi\)
0.716428 + 0.697661i \(0.245776\pi\)
\(114\) −2.32182 1.34050i −0.217458 0.125549i
\(115\) −0.642945 + 8.22796i −0.0599549 + 0.767261i
\(116\) −7.58328 + 4.37821i −0.704090 + 0.406506i
\(117\) −0.0141369 0.0527596i −0.00130696 0.00487763i
\(118\) −3.27731 3.27731i −0.301701 0.301701i
\(119\) −2.68355 7.60013i −0.246000 0.696703i
\(120\) −0.705801 3.79636i −0.0644305 0.346559i
\(121\) −8.83316 + 6.55555i −0.803015 + 0.595959i
\(122\) 2.21029 8.24890i 0.200110 0.746821i
\(123\) −2.76658 + 10.3250i −0.249454 + 0.930975i
\(124\) −5.39541 3.11504i −0.484522 0.279739i
\(125\) −5.85763 9.52304i −0.523922 0.851766i
\(126\) 0.0446464 0.0157643i 0.00397742 0.00140440i
\(127\) 7.38236 7.38236i 0.655078 0.655078i −0.299133 0.954211i \(-0.596697\pi\)
0.954211 + 0.299133i \(0.0966975\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −8.47030 14.6710i −0.745768 1.29171i
\(130\) 5.18717 4.43526i 0.454945 0.388998i
\(131\) 14.9227 + 8.61561i 1.30380 + 0.752749i 0.981054 0.193736i \(-0.0620606\pi\)
0.322746 + 0.946485i \(0.395394\pi\)
\(132\) −3.14368 4.78753i −0.273622 0.416701i
\(133\) 4.09520 0.318540i 0.355099 0.0276209i
\(134\) 15.5318 1.34175
\(135\) −5.02275 10.5153i −0.432290 0.905017i
\(136\) 1.52319 + 2.63825i 0.130613 + 0.226228i
\(137\) −1.35879 + 5.07109i −0.116090 + 0.433252i −0.999366 0.0356002i \(-0.988666\pi\)
0.883277 + 0.468852i \(0.155332\pi\)
\(138\) −6.15650 + 1.64963i −0.524076 + 0.140426i
\(139\) −13.9277 −1.18133 −0.590666 0.806916i \(-0.701135\pi\)
−0.590666 + 0.806916i \(0.701135\pi\)
\(140\) 4.18181 + 4.18479i 0.353428 + 0.353679i
\(141\) −3.10170 −0.261210
\(142\) 1.04952 + 3.91686i 0.0880738 + 0.328696i
\(143\) 4.54989 9.04272i 0.380481 0.756190i
\(144\) −0.0154982 + 0.00894790i −0.00129152 + 0.000745659i
\(145\) −18.4605 6.52564i −1.53306 0.541925i
\(146\) 10.8649 0.899186
\(147\) 7.12306 9.76653i 0.587500 0.805530i
\(148\) −5.31448 + 5.31448i −0.436848 + 0.436848i
\(149\) 2.39807 4.15358i 0.196457 0.340274i −0.750920 0.660393i \(-0.770390\pi\)
0.947377 + 0.320119i \(0.103723\pi\)
\(150\) 5.42632 6.71622i 0.443057 0.548377i
\(151\) 8.13638 4.69754i 0.662129 0.382281i −0.130958 0.991388i \(-0.541805\pi\)
0.793088 + 0.609107i \(0.208472\pi\)
\(152\) −1.49961 + 0.401820i −0.121635 + 0.0325919i
\(153\) 0.0385498 + 0.0385498i 0.00311656 + 0.00311656i
\(154\) 8.12090 + 3.32430i 0.654401 + 0.267879i
\(155\) −2.54633 13.6962i −0.204526 1.10011i
\(156\) 4.56456 + 2.63535i 0.365457 + 0.210997i
\(157\) −2.15787 + 8.05326i −0.172216 + 0.642720i 0.824793 + 0.565435i \(0.191292\pi\)
−0.997009 + 0.0772850i \(0.975375\pi\)
\(158\) −1.34054 0.359196i −0.106648 0.0285761i
\(159\) −13.5987 7.85119i −1.07844 0.622640i
\(160\) −1.84351 1.26550i −0.145742 0.100046i
\(161\) 6.34871 7.41967i 0.500349 0.584752i
\(162\) 6.32577 6.32577i 0.497000 0.497000i
\(163\) 1.16013 + 4.32967i 0.0908686 + 0.339126i 0.996361 0.0852369i \(-0.0271647\pi\)
−0.905492 + 0.424363i \(0.860498\pi\)
\(164\) 3.09496 + 5.36063i 0.241676 + 0.418595i
\(165\) 3.56819 12.2997i 0.277783 0.957534i
\(166\) −4.25011 + 7.36141i −0.329873 + 0.571357i
\(167\) −7.29704 + 7.29704i −0.564662 + 0.564662i −0.930628 0.365966i \(-0.880739\pi\)
0.365966 + 0.930628i \(0.380739\pi\)
\(168\) −1.97072 + 4.12201i −0.152044 + 0.318020i
\(169\) 3.68434i 0.283411i
\(170\) −2.27029 + 6.42248i −0.174124 + 0.492581i
\(171\) −0.0240612 + 0.0138917i −0.00184001 + 0.00106233i
\(172\) −9.47570 2.53901i −0.722515 0.193597i
\(173\) 21.9767 5.88864i 1.67086 0.447705i 0.705516 0.708694i \(-0.250715\pi\)
0.965342 + 0.260989i \(0.0840487\pi\)
\(174\) 15.1213i 1.14634i
\(175\) −1.03526 + 13.1882i −0.0782584 + 0.996933i
\(176\) −3.24760 0.673107i −0.244797 0.0507374i
\(177\) 7.73103 2.07152i 0.581100 0.155705i
\(178\) 3.72280 13.8937i 0.279036 1.04138i
\(179\) −5.54106 + 3.19913i −0.414158 + 0.239114i −0.692575 0.721346i \(-0.743524\pi\)
0.278417 + 0.960460i \(0.410190\pi\)
\(180\) −0.0377284 0.0133367i −0.00281211 0.000994058i
\(181\) −1.74418 −0.129644 −0.0648218 0.997897i \(-0.520648\pi\)
−0.0648218 + 0.997897i \(0.520648\pi\)
\(182\) −8.05093 + 0.626232i −0.596774 + 0.0464194i
\(183\) 10.4279 + 10.4279i 0.770856 + 0.770856i
\(184\) −1.84544 + 3.19639i −0.136047 + 0.235641i
\(185\) −16.7548 1.30924i −1.23184 0.0962575i
\(186\) 9.31722 5.37930i 0.683171 0.394429i
\(187\) 0.579940 + 10.0871i 0.0424094 + 0.737640i
\(188\) −1.27006 + 1.27006i −0.0926284 + 0.0926284i
\(189\) −2.52511 + 13.5552i −0.183675 + 0.985999i
\(190\) −2.86207 1.96470i −0.207636 0.142534i
\(191\) 0.510567 0.884328i 0.0369433 0.0639877i −0.846963 0.531653i \(-0.821571\pi\)
0.883906 + 0.467665i \(0.154905\pi\)
\(192\) 0.446949 1.66804i 0.0322557 0.120380i
\(193\) 0.788030 2.94097i 0.0567237 0.211696i −0.931747 0.363108i \(-0.881716\pi\)
0.988471 + 0.151413i \(0.0483822\pi\)
\(194\) 4.43644 7.68413i 0.318518 0.551689i
\(195\) 2.15421 + 11.5871i 0.154267 + 0.829769i
\(196\) −1.08242 6.91580i −0.0773160 0.493986i
\(197\) 19.7134 19.7134i 1.40452 1.40452i 0.619603 0.784916i \(-0.287294\pi\)
0.784916 0.619603i \(-0.212706\pi\)
\(198\) −0.0592558 + 0.00340682i −0.00421113 + 0.000242112i
\(199\) 20.9597 12.1011i 1.48580 0.857825i 0.485928 0.873999i \(-0.338482\pi\)
0.999869 + 0.0161734i \(0.00514837\pi\)
\(200\) −0.528180 4.97202i −0.0373479 0.351575i
\(201\) −13.4108 + 23.2281i −0.945923 + 1.63839i
\(202\) 0.670552 + 0.670552i 0.0471799 + 0.0471799i
\(203\) 13.1047 + 19.1047i 0.919768 + 1.34089i
\(204\) −5.26074 −0.368325
\(205\) −4.61299 + 13.0498i −0.322185 + 0.911435i
\(206\) −10.3298 + 5.96393i −0.719713 + 0.415527i
\(207\) −0.0170953 + 0.0638005i −0.00118820 + 0.00443444i
\(208\) 2.94816 0.789956i 0.204418 0.0547736i
\(209\) −5.04195 1.04501i −0.348759 0.0722848i
\(210\) −9.86917 + 2.64068i −0.681037 + 0.182224i
\(211\) 4.12319i 0.283852i −0.989877 0.141926i \(-0.954671\pi\)
0.989877 0.141926i \(-0.0453295\pi\)
\(212\) −8.78311 + 2.35343i −0.603226 + 0.161634i
\(213\) −6.76394 1.81239i −0.463458 0.124183i
\(214\) −6.94567 + 4.01009i −0.474796 + 0.274124i
\(215\) −9.45461 19.7936i −0.644799 1.34991i
\(216\) 5.21153i 0.354600i
\(217\) −7.10980 + 14.8711i −0.482644 + 1.00951i
\(218\) 6.01639 6.01639i 0.407481 0.407481i
\(219\) −9.38117 + 16.2487i −0.633921 + 1.09798i
\(220\) −3.57532 6.49747i −0.241048 0.438059i
\(221\) −4.64903 8.05235i −0.312727 0.541660i
\(222\) −3.35918 12.5366i −0.225453 0.841404i
\(223\) −5.84761 + 5.84761i −0.391585 + 0.391585i −0.875252 0.483667i \(-0.839305\pi\)
0.483667 + 0.875252i \(0.339305\pi\)
\(224\) 0.880894 + 2.49480i 0.0588572 + 0.166691i
\(225\) −0.0321594 0.0835001i −0.00214396 0.00556667i
\(226\) 0.244321 + 0.141059i 0.0162520 + 0.00938308i
\(227\) 20.6574 + 5.53514i 1.37108 + 0.367380i 0.867874 0.496785i \(-0.165486\pi\)
0.503208 + 0.864165i \(0.332153\pi\)
\(228\) 0.693894 2.58965i 0.0459543 0.171504i
\(229\) 17.6162 + 10.1707i 1.16411 + 0.672100i 0.952286 0.305207i \(-0.0987258\pi\)
0.211826 + 0.977307i \(0.432059\pi\)
\(230\) −8.11400 + 1.50851i −0.535021 + 0.0994685i
\(231\) −11.9834 + 9.27464i −0.788453 + 0.610227i
\(232\) −6.19172 6.19172i −0.406506 0.406506i
\(233\) −28.1370 + 7.53929i −1.84332 + 0.493915i −0.999113 0.0421062i \(-0.986593\pi\)
−0.844204 + 0.536022i \(0.819927\pi\)
\(234\) 0.0473030 0.0273104i 0.00309229 0.00178534i
\(235\) −4.00407 0.312884i −0.261197 0.0204103i
\(236\) 2.31741 4.01387i 0.150850 0.261280i
\(237\) 1.69466 1.69466i 0.110080 0.110080i
\(238\) 6.64661 4.55917i 0.430836 0.295527i
\(239\) 7.18083 0.464489 0.232245 0.972657i \(-0.425393\pi\)
0.232245 + 0.972657i \(0.425393\pi\)
\(240\) 3.48433 1.66432i 0.224913 0.107432i
\(241\) 7.61472 4.39636i 0.490507 0.283194i −0.234278 0.972170i \(-0.575273\pi\)
0.724785 + 0.688975i \(0.241939\pi\)
\(242\) −8.61836 6.83548i −0.554009 0.439401i
\(243\) −0.0481342 0.179639i −0.00308781 0.0115239i
\(244\) 8.53989 0.546711
\(245\) 10.1806 11.8893i 0.650412 0.759582i
\(246\) −10.6892 −0.681521
\(247\) 4.57706 1.22642i 0.291231 0.0780351i
\(248\) 1.61247 6.01780i 0.102392 0.382131i
\(249\) −7.33943 12.7123i −0.465117 0.805607i
\(250\) 7.68248 8.12278i 0.485883 0.513729i
\(251\) 4.54374 0.286798 0.143399 0.989665i \(-0.454197\pi\)
0.143399 + 0.989665i \(0.454197\pi\)
\(252\) 0.0267825 + 0.0390451i 0.00168714 + 0.00245961i
\(253\) −10.2324 + 6.71902i −0.643307 + 0.422421i
\(254\) 9.04150 + 5.22012i 0.567314 + 0.327539i
\(255\) −7.64468 8.94068i −0.478728 0.559887i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.1428 3.78955i 0.882204 0.236386i 0.210846 0.977519i \(-0.432378\pi\)
0.671358 + 0.741133i \(0.265711\pi\)
\(258\) 11.9788 11.9788i 0.745768 0.745768i
\(259\) 15.1089 + 12.9280i 0.938819 + 0.803309i
\(260\) 5.62667 + 3.86249i 0.348951 + 0.239542i
\(261\) −0.135709 0.0783516i −0.00840017 0.00484984i
\(262\) −4.45977 + 16.6441i −0.275525 + 1.02827i
\(263\) −6.34301 + 23.6725i −0.391127 + 1.45971i 0.437151 + 0.899388i \(0.355988\pi\)
−0.828278 + 0.560318i \(0.810679\pi\)
\(264\) 3.81075 4.27567i 0.234535 0.263149i
\(265\) −16.7629 11.5071i −1.02974 0.706875i
\(266\) 1.36760 + 3.87321i 0.0838530 + 0.237482i
\(267\) 17.5639 + 17.5639i 1.07489 + 1.07489i
\(268\) 4.01993 + 15.0026i 0.245556 + 0.916429i
\(269\) −13.9510 + 8.05459i −0.850605 + 0.491097i −0.860855 0.508850i \(-0.830071\pi\)
0.0102498 + 0.999947i \(0.496737\pi\)
\(270\) 8.85706 7.57318i 0.539023 0.460889i
\(271\) 1.92331 + 1.11042i 0.116832 + 0.0674533i 0.557277 0.830326i \(-0.311846\pi\)
−0.440445 + 0.897780i \(0.645179\pi\)
\(272\) −2.15412 + 2.15412i −0.130613 + 0.130613i
\(273\) 6.01494 12.5810i 0.364041 0.761439i
\(274\) −5.24998 −0.317163
\(275\) 5.84701 15.5181i 0.352588 0.935779i
\(276\) −3.18684 5.51977i −0.191825 0.332251i
\(277\) −20.6259 5.52669i −1.23929 0.332066i −0.421099 0.907015i \(-0.638356\pi\)
−0.818190 + 0.574948i \(0.805022\pi\)
\(278\) −3.60475 13.4531i −0.216199 0.806865i
\(279\) 0.111492i 0.00667488i
\(280\) −2.95986 + 5.12242i −0.176886 + 0.306123i
\(281\) 20.9838i 1.25179i −0.779909 0.625893i \(-0.784735\pi\)
0.779909 0.625893i \(-0.215265\pi\)
\(282\) −0.802779 2.99601i −0.0478048 0.178410i
\(283\) −1.45504 + 5.43029i −0.0864933 + 0.322797i −0.995593 0.0937817i \(-0.970104\pi\)
0.909099 + 0.416579i \(0.136771\pi\)
\(284\) −3.51177 + 2.02752i −0.208385 + 0.120311i
\(285\) 5.40947 2.58388i 0.320429 0.153056i
\(286\) 9.91219 + 2.05443i 0.586120 + 0.121481i
\(287\) 13.5052 9.26372i 0.797185 0.546820i
\(288\) −0.0126542 0.0126542i −0.000745659 0.000745659i
\(289\) −6.68529 3.85976i −0.393252 0.227044i
\(290\) 1.52536 19.5204i 0.0895720 1.14628i
\(291\) 7.66118 + 13.2696i 0.449106 + 0.777875i
\(292\) 2.81204 + 10.4947i 0.164562 + 0.614155i
\(293\) −5.42475 5.42475i −0.316917 0.316917i 0.530665 0.847582i \(-0.321942\pi\)
−0.847582 + 0.530665i \(0.821942\pi\)
\(294\) 11.2773 + 4.35259i 0.657707 + 0.253848i
\(295\) 10.1892 1.89432i 0.593236 0.110291i
\(296\) −6.50888 3.75790i −0.378321 0.218424i
\(297\) 7.76890 15.4404i 0.450798 0.895941i
\(298\) 4.63271 + 1.24133i 0.268366 + 0.0719084i
\(299\) 5.63256 9.75588i 0.325739 0.564197i
\(300\) 7.89181 + 3.50313i 0.455634 + 0.202254i
\(301\) −4.75315 + 25.5158i −0.273967 + 1.47071i
\(302\) 6.64333 + 6.64333i 0.382281 + 0.382281i
\(303\) −1.58180 + 0.423843i −0.0908723 + 0.0243492i
\(304\) −0.776257 1.34452i −0.0445214 0.0771133i
\(305\) 12.4098 + 14.5136i 0.710583 + 0.831049i
\(306\) −0.0272588 + 0.0472136i −0.00155828 + 0.00269902i
\(307\) 6.63243 6.63243i 0.378533 0.378533i −0.492040 0.870573i \(-0.663749\pi\)
0.870573 + 0.492040i \(0.163749\pi\)
\(308\) −1.10918 + 8.70458i −0.0632013 + 0.495990i
\(309\) 20.5979i 1.17178i
\(310\) 12.5705 6.00441i 0.713955 0.341027i
\(311\) 6.80279 + 11.7828i 0.385751 + 0.668140i 0.991873 0.127232i \(-0.0406092\pi\)
−0.606122 + 0.795371i \(0.707276\pi\)
\(312\) −1.36416 + 5.09110i −0.0772302 + 0.288227i
\(313\) 6.41779 + 23.9515i 0.362755 + 1.35382i 0.870439 + 0.492276i \(0.163835\pi\)
−0.507684 + 0.861543i \(0.669498\pi\)
\(314\) −8.33735 −0.470504
\(315\) −0.0274383 + 0.102256i −0.00154597 + 0.00576146i
\(316\) 1.38783i 0.0780714i
\(317\) −20.2960 + 5.43830i −1.13994 + 0.305445i −0.778926 0.627116i \(-0.784235\pi\)
−0.361012 + 0.932561i \(0.617569\pi\)
\(318\) 4.06408 15.1673i 0.227902 0.850542i
\(319\) −9.11432 27.5745i −0.510304 1.54387i
\(320\) 0.745241 2.10823i 0.0416602 0.117853i
\(321\) 13.8499i 0.773023i
\(322\) 8.81002 + 4.21203i 0.490963 + 0.234727i
\(323\) −3.34431 + 3.34431i −0.186082 + 0.186082i
\(324\) 7.74746 + 4.47300i 0.430414 + 0.248500i
\(325\) 1.61209 + 15.1754i 0.0894225 + 0.841779i
\(326\) −3.88188 + 2.24120i −0.214997 + 0.124129i
\(327\) 3.80284 + 14.1924i 0.210298 + 0.784841i
\(328\) −4.37694 + 4.37694i −0.241676 + 0.241676i
\(329\) 3.61072 + 3.08955i 0.199066 + 0.170332i
\(330\) 12.8042 + 0.263198i 0.704846 + 0.0144886i
\(331\) 5.43730 9.41768i 0.298861 0.517643i −0.677015 0.735970i \(-0.736727\pi\)
0.975876 + 0.218327i \(0.0700600\pi\)
\(332\) −8.21059 2.20002i −0.450615 0.120742i
\(333\) −0.129918 0.0348115i −0.00711949 0.00190766i
\(334\) −8.93701 5.15979i −0.489011 0.282331i
\(335\) −19.6555 + 28.6330i −1.07389 + 1.56439i
\(336\) −4.49162 0.836712i −0.245038 0.0456464i
\(337\) 6.64080 6.64080i 0.361747 0.361747i −0.502709 0.864456i \(-0.667663\pi\)
0.864456 + 0.502709i \(0.167663\pi\)
\(338\) 3.55880 0.953578i 0.193573 0.0518678i
\(339\) −0.421912 + 0.243591i −0.0229151 + 0.0132300i
\(340\) −6.79123 0.530677i −0.368306 0.0287800i
\(341\) 13.7481 15.4254i 0.744502 0.835332i
\(342\) −0.0196459 0.0196459i −0.00106233 0.00106233i
\(343\) −18.0203 + 4.27417i −0.973005 + 0.230783i
\(344\) 9.80996i 0.528918i
\(345\) 4.74993 13.4372i 0.255728 0.723432i
\(346\) 11.3760 + 19.7038i 0.611576 + 1.05928i
\(347\) 5.08406 + 1.36227i 0.272927 + 0.0731305i 0.392687 0.919672i \(-0.371546\pi\)
−0.119760 + 0.992803i \(0.538212\pi\)
\(348\) 14.6060 3.91367i 0.782964 0.209795i
\(349\) −15.3310 −0.820652 −0.410326 0.911939i \(-0.634585\pi\)
−0.410326 + 0.911939i \(0.634585\pi\)
\(350\) −13.0068 + 2.41337i −0.695240 + 0.129000i
\(351\) 15.9064i 0.849022i
\(352\) −0.190370 3.31116i −0.0101467 0.176485i
\(353\) −0.127441 0.0341476i −0.00678298 0.00181749i 0.255426 0.966829i \(-0.417784\pi\)
−0.262209 + 0.965011i \(0.584451\pi\)
\(354\) 4.00188 + 6.93145i 0.212697 + 0.368403i
\(355\) −8.54893 3.02198i −0.453730 0.160390i
\(356\) 14.3838 0.762340
\(357\) 1.07938 + 13.8767i 0.0571270 + 0.734433i
\(358\) −4.52425 4.52425i −0.239114 0.239114i
\(359\) −15.7554 + 27.2891i −0.831536 + 1.44026i 0.0652836 + 0.997867i \(0.479205\pi\)
−0.896820 + 0.442396i \(0.854129\pi\)
\(360\) 0.00311742 0.0398946i 0.000164303 0.00210263i
\(361\) 8.29485 + 14.3671i 0.436571 + 0.756163i
\(362\) −0.451426 1.68475i −0.0237264 0.0885482i
\(363\) 17.6640 6.98691i 0.927121 0.366718i
\(364\) −2.68863 7.61452i −0.140922 0.399109i
\(365\) −13.7495 + 20.0295i −0.719681 + 1.04839i
\(366\) −7.37367 + 12.7716i −0.385428 + 0.667581i
\(367\) −3.70581 + 13.8303i −0.193442 + 0.721935i 0.799223 + 0.601035i \(0.205245\pi\)
−0.992665 + 0.120900i \(0.961422\pi\)
\(368\) −3.56511 0.955268i −0.185844 0.0497968i
\(369\) −0.0553869 + 0.0959328i −0.00288332 + 0.00499406i
\(370\) −3.07183 16.5227i −0.159697 0.858976i
\(371\) 8.00992 + 22.6851i 0.415854 + 1.17775i
\(372\) 7.60748 + 7.60748i 0.394429 + 0.394429i
\(373\) 12.8496 3.44304i 0.665327 0.178274i 0.0896779 0.995971i \(-0.471416\pi\)
0.575649 + 0.817697i \(0.304750\pi\)
\(374\) −9.59327 + 3.17091i −0.496056 + 0.163964i
\(375\) 5.51442 + 18.5028i 0.284763 + 0.955481i
\(376\) −1.55550 0.898066i −0.0802186 0.0463142i
\(377\) 18.8981 + 18.8981i 0.973302 + 0.973302i
\(378\) −13.7469 + 1.06929i −0.707064 + 0.0549982i
\(379\) 3.34431i 0.171786i 0.996304 + 0.0858928i \(0.0273743\pi\)
−0.996304 + 0.0858928i \(0.972626\pi\)
\(380\) 1.15700 3.27305i 0.0593527 0.167904i
\(381\) −15.6136 + 9.01450i −0.799907 + 0.461827i
\(382\) 0.986340 + 0.264289i 0.0504655 + 0.0135222i
\(383\) −5.32581 19.8762i −0.272136 1.01563i −0.957736 0.287647i \(-0.907127\pi\)
0.685601 0.727978i \(-0.259540\pi\)
\(384\) 1.72688 0.0881243
\(385\) −16.4053 + 10.7641i −0.836093 + 0.548587i
\(386\) 3.04471 0.154972
\(387\) −0.0454376 0.169575i −0.00230972 0.00861999i
\(388\) 8.57054 + 2.29647i 0.435103 + 0.116586i
\(389\) 12.2119 7.05055i 0.619168 0.357477i −0.157377 0.987539i \(-0.550304\pi\)
0.776545 + 0.630062i \(0.216970\pi\)
\(390\) −10.6347 + 5.07977i −0.538510 + 0.257224i
\(391\) 11.2438i 0.568625i
\(392\) 6.40000 2.83548i 0.323249 0.143214i
\(393\) −21.0408 21.0408i −1.06137 1.06137i
\(394\) 24.1438 + 13.9394i 1.21635 + 0.702259i
\(395\) 2.35863 2.01673i 0.118675 0.101473i
\(396\) −0.0186273 0.0563550i −0.000936056 0.00283194i
\(397\) 33.4441 8.96132i 1.67851 0.449756i 0.711127 0.703064i \(-0.248185\pi\)
0.967386 + 0.253308i \(0.0815186\pi\)
\(398\) 17.1136 + 17.1136i 0.857825 + 0.857825i
\(399\) −6.97330 1.29901i −0.349102 0.0650317i
\(400\) 4.66590 1.79704i 0.233295 0.0898518i
\(401\) 6.32514 10.9555i 0.315862 0.547090i −0.663758 0.747947i \(-0.731040\pi\)
0.979620 + 0.200858i \(0.0643729\pi\)
\(402\) −25.9076 6.94193i −1.29215 0.346232i
\(403\) −4.92150 + 18.3673i −0.245157 + 0.914939i
\(404\) −0.474152 + 0.821255i −0.0235899 + 0.0408590i
\(405\) 3.65636 + 19.6668i 0.181686 + 0.977254i
\(406\) −15.0620 + 17.6028i −0.747516 + 0.873613i
\(407\) −13.6821 20.8365i −0.678197 1.03283i
\(408\) −1.36158 5.08148i −0.0674082 0.251571i
\(409\) 2.34735 + 4.06573i 0.116069 + 0.201038i 0.918207 0.396102i \(-0.129637\pi\)
−0.802138 + 0.597139i \(0.796304\pi\)
\(410\) −13.7990 1.07828i −0.681485 0.0532523i
\(411\) 4.53303 7.85144i 0.223598 0.387283i
\(412\) −8.43427 8.43427i −0.415527 0.415527i
\(413\) −11.0632 5.28926i −0.544384 0.260268i
\(414\) −0.0660511 −0.00324623
\(415\) −8.19231 17.1510i −0.402145 0.841908i
\(416\) 1.52608 + 2.64324i 0.0748221 + 0.129596i
\(417\) 23.2319 + 6.22497i 1.13767 + 0.304838i
\(418\) −0.295552 5.14062i −0.0144559 0.251436i
\(419\) 26.6533i 1.30210i 0.759036 + 0.651049i \(0.225671\pi\)
−0.759036 + 0.651049i \(0.774329\pi\)
\(420\) −5.10503 8.84943i −0.249100 0.431808i
\(421\) 9.06968 0.442029 0.221015 0.975270i \(-0.429063\pi\)
0.221015 + 0.975270i \(0.429063\pi\)
\(422\) 3.98269 1.06716i 0.193874 0.0519485i
\(423\) −0.0310480 0.00831928i −0.00150960 0.000404497i
\(424\) −4.54647 7.87472i −0.220796 0.382430i
\(425\) −8.96683 12.3129i −0.434955 0.597265i
\(426\) 7.00255i 0.339275i
\(427\) −1.75219 22.5264i −0.0847944 1.09013i
\(428\) −5.67112 5.67112i −0.274124 0.274124i
\(429\) −11.6310 + 13.0500i −0.561550 + 0.630060i
\(430\) 16.6721 14.2554i 0.804002 0.687457i
\(431\) 16.5720 9.56786i 0.798246 0.460867i −0.0446117 0.999004i \(-0.514205\pi\)
0.842857 + 0.538137i \(0.180872\pi\)
\(432\) 5.03396 1.34884i 0.242196 0.0648963i
\(433\) −2.40966 + 2.40966i −0.115801 + 0.115801i −0.762633 0.646832i \(-0.776094\pi\)
0.646832 + 0.762633i \(0.276094\pi\)
\(434\) −16.2045 3.01862i −0.777841 0.144898i
\(435\) 27.8761 + 19.1359i 1.33656 + 0.917496i
\(436\) 7.36854 + 4.25423i 0.352889 + 0.203741i
\(437\) −5.53488 1.48307i −0.264769 0.0709447i
\(438\) −18.1230 4.85605i −0.865952 0.232031i
\(439\) 17.0113 29.4645i 0.811907 1.40626i −0.0996203 0.995026i \(-0.531763\pi\)
0.911528 0.411239i \(-0.134904\pi\)
\(440\) 5.35071 5.13516i 0.255085 0.244809i
\(441\) 0.0974973 0.0786576i 0.00464273 0.00374560i
\(442\) 6.57472 6.57472i 0.312727 0.312727i
\(443\) −2.87977 10.7474i −0.136822 0.510627i −0.999984 0.00569915i \(-0.998186\pi\)
0.863162 0.504927i \(-0.168481\pi\)
\(444\) 11.2400 6.48944i 0.533429 0.307975i
\(445\) 20.9019 + 24.4454i 0.990846 + 1.15882i
\(446\) −7.16183 4.13488i −0.339122 0.195792i
\(447\) −5.85650 + 5.85650i −0.277003 + 0.277003i
\(448\) −2.18180 + 1.49658i −0.103080 + 0.0707068i
\(449\) 37.4110i 1.76553i 0.469810 + 0.882767i \(0.344322\pi\)
−0.469810 + 0.882767i \(0.655678\pi\)
\(450\) 0.0723314 0.0526750i 0.00340974 0.00248313i
\(451\) −19.4925 + 6.44293i −0.917864 + 0.303386i
\(452\) −0.0730173 + 0.272504i −0.00343445 + 0.0128175i
\(453\) −15.6713 + 4.19912i −0.736303 + 0.197292i
\(454\) 21.3861i 1.00370i
\(455\) 9.03396 15.6344i 0.423518 0.732954i
\(456\) 2.68100 0.125549
\(457\) 5.26827 + 19.6614i 0.246439 + 0.919723i 0.972655 + 0.232256i \(0.0746108\pi\)
−0.726216 + 0.687467i \(0.758723\pi\)
\(458\) −5.26475 + 19.6483i −0.246006 + 0.918106i
\(459\) −7.93818 13.7493i −0.370523 0.641764i
\(460\) −3.55717 7.44709i −0.165854 0.347222i
\(461\) 7.33590i 0.341667i −0.985300 0.170834i \(-0.945354\pi\)
0.985300 0.170834i \(-0.0546460\pi\)
\(462\) −12.0602 9.17467i −0.561089 0.426844i
\(463\) −27.0696 + 27.0696i −1.25803 + 1.25803i −0.305998 + 0.952032i \(0.598990\pi\)
−0.952032 + 0.305998i \(0.901010\pi\)
\(464\) 4.37821 7.58328i 0.203253 0.352045i
\(465\) −1.87413 + 23.9838i −0.0869108 + 1.11222i
\(466\) −14.5648 25.2270i −0.674701 1.16862i
\(467\) −24.2941 + 6.50958i −1.12420 + 0.301227i −0.772580 0.634917i \(-0.781034\pi\)
−0.351616 + 0.936145i \(0.614368\pi\)
\(468\) 0.0386227 + 0.0386227i 0.00178534 + 0.00178534i
\(469\) 38.7488 13.6819i 1.78925 0.631771i
\(470\) −0.734106 3.94861i −0.0338618 0.182136i
\(471\) 7.19879 12.4687i 0.331703 0.574526i
\(472\) 4.47689 + 1.19958i 0.206065 + 0.0552150i
\(473\) 14.6238 29.0643i 0.672405 1.33638i
\(474\) 2.07552 + 1.19830i 0.0953320 + 0.0550399i
\(475\) 7.24388 2.78993i 0.332372 0.128011i
\(476\) 6.12409 + 5.24013i 0.280697 + 0.240181i
\(477\) −0.115064 0.115064i −0.00526843 0.00526843i
\(478\) 1.85854 + 6.93615i 0.0850074 + 0.317252i
\(479\) −10.1662 17.6085i −0.464508 0.804551i 0.534671 0.845060i \(-0.320435\pi\)
−0.999179 + 0.0405090i \(0.987102\pi\)
\(480\) 2.50942 + 2.93485i 0.114539 + 0.133957i
\(481\) 19.8661 + 11.4697i 0.905817 + 0.522974i
\(482\) 6.21739 + 6.21739i 0.283194 + 0.283194i
\(483\) −13.9061 + 9.53872i −0.632749 + 0.434027i
\(484\) 4.37197 10.0939i 0.198726 0.458811i
\(485\) 8.55146 + 17.9028i 0.388302 + 0.812926i
\(486\) 0.161060 0.0929881i 0.00730583 0.00421803i
\(487\) −10.7838 + 40.2456i −0.488660 + 1.82370i 0.0743210 + 0.997234i \(0.476321\pi\)
−0.562981 + 0.826470i \(0.690346\pi\)
\(488\) 2.21029 + 8.24890i 0.100055 + 0.373410i
\(489\) 7.74057i 0.350041i
\(490\) 14.1191 + 6.75647i 0.637838 + 0.305226i
\(491\) 13.6711i 0.616969i 0.951229 + 0.308484i \(0.0998217\pi\)
−0.951229 + 0.308484i \(0.900178\pi\)
\(492\) −2.76658 10.3250i −0.124727 0.465488i
\(493\) −25.7665 6.90412i −1.16047 0.310946i
\(494\) 2.36926 + 4.10368i 0.106598 + 0.184633i
\(495\) 0.0687075 0.113550i 0.00308817 0.00510369i
\(496\) 6.23009 0.279739
\(497\) 6.06869 + 8.84728i 0.272218 + 0.396855i
\(498\) 10.3795 10.3795i 0.465117 0.465117i
\(499\) 3.10495 + 1.79265i 0.138997 + 0.0802498i 0.567886 0.823107i \(-0.307762\pi\)
−0.428889 + 0.903357i \(0.641095\pi\)
\(500\) 9.83437 + 5.31838i 0.439806 + 0.237845i
\(501\) 15.4331 8.91031i 0.689501 0.398083i
\(502\) 1.17601 + 4.38892i 0.0524878 + 0.195887i
\(503\) −20.7003 20.7003i −0.922979 0.922979i 0.0742598 0.997239i \(-0.476341\pi\)
−0.997239 + 0.0742598i \(0.976341\pi\)
\(504\) −0.0307828 + 0.0359755i −0.00137118 + 0.00160248i
\(505\) −2.08475 + 0.387586i −0.0927701 + 0.0172474i
\(506\) −9.13842 8.14475i −0.406252 0.362078i
\(507\) −1.64671 + 6.14561i −0.0731330 + 0.272936i
\(508\) −2.70213 + 10.0845i −0.119888 + 0.447427i
\(509\) 6.48630 + 3.74487i 0.287500 + 0.165988i 0.636814 0.771017i \(-0.280252\pi\)
−0.349314 + 0.937006i \(0.613585\pi\)
\(510\) 6.65745 9.69821i 0.294797 0.429444i
\(511\) 27.1057 9.57083i 1.19909 0.423389i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 7.81529 2.09410i 0.345053 0.0924568i
\(514\) 7.32085 + 12.6801i 0.322909 + 0.559295i
\(515\) 2.07782 26.5904i 0.0915595 1.17171i
\(516\) 14.6710 + 8.47030i 0.645854 + 0.372884i
\(517\) −3.26976 4.97953i −0.143804 0.218999i
\(518\) −8.57707 + 17.9401i −0.376855 + 0.788241i
\(519\) −39.2898 −1.72463
\(520\) −2.27459 + 6.43463i −0.0997475 + 0.282177i
\(521\) −12.7223 22.0357i −0.557376 0.965403i −0.997714 0.0675712i \(-0.978475\pi\)
0.440339 0.897832i \(-0.354858\pi\)
\(522\) 0.0405578 0.151364i 0.00177516 0.00662500i
\(523\) −5.00656 + 1.34150i −0.218921 + 0.0586598i −0.366613 0.930374i \(-0.619483\pi\)
0.147691 + 0.989034i \(0.452816\pi\)
\(524\) −17.2312 −0.752749
\(525\) 7.62129 21.5356i 0.332621 0.939893i
\(526\) −24.5075 −1.06858
\(527\) −4.91220 18.3326i −0.213979 0.798579i
\(528\) 5.11627 + 2.57428i 0.222657 + 0.112031i
\(529\) 8.12113 4.68874i 0.353093 0.203858i
\(530\) 6.77643 19.1700i 0.294349 0.832690i
\(531\) 0.0829437 0.00359945
\(532\) −3.38727 + 2.32346i −0.146857 + 0.100735i
\(533\) 13.3591 13.3591i 0.578647 0.578647i
\(534\) −12.4195 + 21.5113i −0.537446 + 0.930884i
\(535\) 1.39710 17.8791i 0.0604020 0.772983i
\(536\) −13.4510 + 7.76591i −0.580993 + 0.335436i
\(537\) 10.6725 2.85969i 0.460553 0.123405i
\(538\) −11.3909 11.3909i −0.491097 0.491097i
\(539\) 23.1884 + 1.13979i 0.998794 + 0.0490944i
\(540\) 9.60750 + 6.59518i 0.413441 + 0.283811i
\(541\) 29.6625 + 17.1257i 1.27529 + 0.736290i 0.975979 0.217865i \(-0.0699092\pi\)
0.299313 + 0.954155i \(0.403243\pi\)
\(542\) −0.574796 + 2.14517i −0.0246896 + 0.0921429i
\(543\) 2.90935 + 0.779557i 0.124852 + 0.0334540i
\(544\) −2.63825 1.52319i −0.113114 0.0653064i
\(545\) 3.47753 + 18.7050i 0.148961 + 0.801233i
\(546\) 13.7091 + 2.55377i 0.586696 + 0.109291i
\(547\) 27.6507 27.6507i 1.18226 1.18226i 0.203101 0.979158i \(-0.434898\pi\)
0.979158 0.203101i \(-0.0651019\pi\)
\(548\) −1.35879 5.07109i −0.0580448 0.216626i
\(549\) 0.0764141 + 0.132353i 0.00326128 + 0.00564870i
\(550\) 16.5027 + 1.63139i 0.703677 + 0.0695626i
\(551\) 6.79723 11.7731i 0.289572 0.501553i
\(552\) 4.50687 4.50687i 0.191825 0.191825i
\(553\) −3.66079 + 0.284750i −0.155673 + 0.0121088i
\(554\) 21.3535i 0.907223i
\(555\) 27.3624 + 9.67239i 1.16147 + 0.410570i
\(556\) 12.0617 6.96385i 0.511532 0.295333i
\(557\) 8.03579 + 2.15318i 0.340487 + 0.0912333i 0.425011 0.905188i \(-0.360270\pi\)
−0.0845237 + 0.996421i \(0.526937\pi\)
\(558\) 0.107693 0.0288564i 0.00455903 0.00122159i
\(559\) 29.9415i 1.26639i
\(560\) −5.71395 1.53323i −0.241458 0.0647906i
\(561\) 3.54104 17.0848i 0.149503 0.721321i
\(562\) 20.2688 5.43100i 0.854986 0.229093i
\(563\) 4.42137 16.5008i 0.186338 0.695424i −0.808002 0.589180i \(-0.799451\pi\)
0.994340 0.106244i \(-0.0338825\pi\)
\(564\) 2.68615 1.55085i 0.113107 0.0653025i
\(565\) −0.569229 + 0.271898i −0.0239477 + 0.0114388i
\(566\) −5.62185 −0.236304
\(567\) 10.2092 21.3539i 0.428746 0.896778i
\(568\) −2.86734 2.86734i −0.120311 0.120311i
\(569\) −0.641650 + 1.11137i −0.0268994 + 0.0465911i −0.879162 0.476524i \(-0.841897\pi\)
0.852262 + 0.523115i \(0.175230\pi\)
\(570\) 3.89591 + 4.55639i 0.163182 + 0.190846i
\(571\) 7.41728 4.28237i 0.310404 0.179212i −0.336703 0.941611i \(-0.609312\pi\)
0.647107 + 0.762399i \(0.275979\pi\)
\(572\) 0.581038 + 10.1062i 0.0242944 + 0.422560i
\(573\) −1.24689 + 1.24689i −0.0520897 + 0.0520897i
\(574\) 12.4435 + 10.6474i 0.519380 + 0.444413i
\(575\) 7.48728 16.8672i 0.312241 0.703413i
\(576\) 0.00894790 0.0154982i 0.000372829 0.000645759i
\(577\) 9.57305 35.7271i 0.398531 1.48734i −0.417150 0.908838i \(-0.636971\pi\)
0.815681 0.578501i \(-0.196362\pi\)
\(578\) 1.99796 7.45647i 0.0831040 0.310148i
\(579\) −2.62892 + 4.55343i −0.109254 + 0.189234i
\(580\) 19.2501 3.57888i 0.799316 0.148605i
\(581\) −4.11856 + 22.1092i −0.170866 + 0.917242i
\(582\) −10.8345 + 10.8345i −0.449106 + 0.449106i
\(583\) −1.73102 30.1082i −0.0716916 1.24695i
\(584\) −9.40928 + 5.43245i −0.389359 + 0.224796i
\(585\) −0.00951487 + 0.121765i −0.000393391 + 0.00503435i
\(586\) 3.83588 6.64393i 0.158459 0.274458i
\(587\) −23.3298 23.3298i −0.962925 0.962925i 0.0364115 0.999337i \(-0.488407\pi\)
−0.999337 + 0.0364115i \(0.988407\pi\)
\(588\) −1.28549 + 12.0196i −0.0530126 + 0.495680i
\(589\) 9.67230 0.398540
\(590\) 4.46692 + 9.35169i 0.183900 + 0.385003i
\(591\) −41.6934 + 24.0717i −1.71504 + 0.990178i
\(592\) 1.94523 7.25971i 0.0799487 0.298372i
\(593\) 33.1220 8.87501i 1.36016 0.364453i 0.496283 0.868161i \(-0.334698\pi\)
0.863874 + 0.503708i \(0.168031\pi\)
\(594\) 16.9250 + 3.50792i 0.694441 + 0.143932i
\(595\) −0.00640649 + 18.0227i −0.000262640 + 0.738858i
\(596\) 4.79614i 0.196457i
\(597\) −40.3702 + 10.8172i −1.65224 + 0.442717i
\(598\) 10.8813 + 2.91563i 0.444968 + 0.119229i
\(599\) −32.8575 + 18.9703i −1.34252 + 0.775106i −0.987177 0.159629i \(-0.948970\pi\)
−0.355346 + 0.934735i \(0.615637\pi\)
\(600\) −1.34122 + 8.52958i −0.0547550 + 0.348219i
\(601\) 18.4286i 0.751717i −0.926677 0.375858i \(-0.877348\pi\)
0.926677 0.375858i \(-0.122652\pi\)
\(602\) −25.8766 + 2.01278i −1.05465 + 0.0820347i
\(603\) −0.196543 + 0.196543i −0.00800387 + 0.00800387i
\(604\) −4.69754 + 8.13638i −0.191140 + 0.331065i
\(605\) 23.5078 7.23774i 0.955727 0.294256i
\(606\) −0.818802 1.41821i −0.0332616 0.0576107i
\(607\) 2.29557 + 8.56717i 0.0931742 + 0.347731i 0.996736 0.0807263i \(-0.0257240\pi\)
−0.903562 + 0.428457i \(0.859057\pi\)
\(608\) 1.09779 1.09779i 0.0445214 0.0445214i
\(609\) −13.3202 37.7245i −0.539763 1.52867i
\(610\) −10.8072 + 15.7434i −0.437571 + 0.637430i
\(611\) 4.74762 + 2.74104i 0.192068 + 0.110891i
\(612\) −0.0526600 0.0141102i −0.00212865 0.000570371i
\(613\) −7.39891 + 27.6131i −0.298839 + 1.11528i 0.639281 + 0.768973i \(0.279232\pi\)
−0.938120 + 0.346310i \(0.887435\pi\)
\(614\) 8.12304 + 4.68984i 0.327819 + 0.189266i
\(615\) 13.5272 19.7057i 0.545469 0.794610i
\(616\) −8.69506 + 1.18153i −0.350334 + 0.0476051i
\(617\) −13.2472 13.2472i −0.533311 0.533311i 0.388245 0.921556i \(-0.373081\pi\)
−0.921556 + 0.388245i \(0.873081\pi\)
\(618\) 19.8961 5.33114i 0.800338 0.214450i
\(619\) 11.5612 6.67484i 0.464682 0.268284i −0.249329 0.968419i \(-0.580210\pi\)
0.714011 + 0.700134i \(0.246877\pi\)
\(620\) 9.05329 + 10.5881i 0.363589 + 0.425228i
\(621\) 9.61755 16.6581i 0.385939 0.668466i
\(622\) −9.62059 + 9.62059i −0.385751 + 0.385751i
\(623\) −2.95123 37.9414i −0.118238 1.52009i
\(624\) −5.27070 −0.210997
\(625\) 5.25224 + 24.4421i 0.210090 + 0.977682i
\(626\) −21.4743 + 12.3982i −0.858287 + 0.495532i
\(627\) 7.94308 + 3.99660i 0.317216 + 0.159609i
\(628\) −2.15787 8.05326i −0.0861082 0.321360i
\(629\) −22.8961 −0.912927
\(630\) −0.105873 3.76345e-5i −0.00421808 1.49939e-6i
\(631\) −24.0117 −0.955891 −0.477945 0.878390i \(-0.658618\pi\)
−0.477945 + 0.878390i \(0.658618\pi\)
\(632\) 1.34054 0.359196i 0.0533238 0.0142881i
\(633\) −1.84285 + 6.87762i −0.0732468 + 0.273361i
\(634\) −10.5060 18.1969i −0.417246 0.722691i
\(635\) −21.0653 + 10.0620i −0.835951 + 0.399300i
\(636\) 15.7024 0.622640
\(637\) −19.5338 + 8.65434i −0.773958 + 0.342897i
\(638\) 24.2759 15.9406i 0.961094 0.631093i
\(639\) −0.0628459 0.0362841i −0.00248614 0.00143538i
\(640\) 2.22927 + 0.174199i 0.0881197 + 0.00688580i
\(641\) −7.74123 13.4082i −0.305760 0.529592i 0.671670 0.740850i \(-0.265577\pi\)
−0.977430 + 0.211258i \(0.932244\pi\)
\(642\) 13.3779 3.58460i 0.527985 0.141473i
\(643\) 21.5362 21.5362i 0.849306 0.849306i −0.140741 0.990047i \(-0.544948\pi\)
0.990047 + 0.140741i \(0.0449484\pi\)
\(644\) −1.78831 + 9.59998i −0.0704693 + 0.378292i
\(645\) 6.92388 + 37.2422i 0.272628 + 1.46641i
\(646\) −4.09592 2.36478i −0.161152 0.0930411i
\(647\) −5.68867 + 21.2304i −0.223645 + 0.834653i 0.759298 + 0.650743i \(0.225542\pi\)
−0.982943 + 0.183911i \(0.941124\pi\)
\(648\) −2.31539 + 8.64117i −0.0909572 + 0.339457i
\(649\) 11.4756 + 10.2278i 0.450456 + 0.401475i
\(650\) −14.2411 + 5.48484i −0.558581 + 0.215133i
\(651\) 18.5060 21.6278i 0.725307 0.847658i
\(652\) −3.16954 3.16954i −0.124129 0.124129i
\(653\) 5.48815 + 20.4821i 0.214768 + 0.801525i 0.986248 + 0.165272i \(0.0528501\pi\)
−0.771480 + 0.636254i \(0.780483\pi\)
\(654\) −12.7246 + 7.34653i −0.497570 + 0.287272i
\(655\) −25.0397 29.2846i −0.978380 1.14425i
\(656\) −5.36063 3.09496i −0.209298 0.120838i
\(657\) −0.137487 + 0.137487i −0.00536388 + 0.00536388i
\(658\) −2.04975 + 4.28732i −0.0799077 + 0.167137i
\(659\) −38.3028 −1.49207 −0.746033 0.665909i \(-0.768044\pi\)
−0.746033 + 0.665909i \(0.768044\pi\)
\(660\) 3.05973 + 12.4360i 0.119100 + 0.484070i
\(661\) −18.3949 31.8609i −0.715479 1.23925i −0.962775 0.270305i \(-0.912875\pi\)
0.247296 0.968940i \(-0.420458\pi\)
\(662\) 10.5041 + 2.81455i 0.408252 + 0.109391i
\(663\) 4.15575 + 15.5095i 0.161396 + 0.602339i
\(664\) 8.50023i 0.329873i
\(665\) −8.87099 2.38035i −0.344002 0.0923062i
\(666\) 0.134501i 0.00521183i
\(667\) −8.36472 31.2176i −0.323883 1.20875i
\(668\) 2.67090 9.96794i 0.103340 0.385671i
\(669\) 12.3676 7.14044i 0.478159 0.276065i
\(670\) −32.7446 11.5750i −1.26503 0.447179i
\(671\) −5.74827 + 27.7342i −0.221909 + 1.07067i
\(672\) −0.354315 4.55513i −0.0136680 0.175718i
\(673\) 20.0131 + 20.0131i 0.771447 + 0.771447i 0.978360 0.206912i \(-0.0663415\pi\)
−0.206912 + 0.978360i \(0.566341\pi\)
\(674\) 8.13329 + 4.69575i 0.313282 + 0.180874i
\(675\) 2.75263 + 25.9119i 0.105949 + 0.997349i
\(676\) 1.84217 + 3.19073i 0.0708527 + 0.122721i
\(677\) 0.0780567 + 0.291312i 0.00299996 + 0.0111960i 0.967410 0.253217i \(-0.0814886\pi\)
−0.964410 + 0.264413i \(0.914822\pi\)
\(678\) −0.344489 0.344489i −0.0132300 0.0132300i
\(679\) 4.29911 23.0784i 0.164985 0.885668i
\(680\) −1.24511 6.69718i −0.0477476 0.256825i
\(681\) −31.9834 18.4656i −1.22561 0.707604i
\(682\) 18.4581 + 9.28727i 0.706796 + 0.355628i
\(683\) 2.97640 + 0.797525i 0.113889 + 0.0305164i 0.315313 0.948988i \(-0.397890\pi\)
−0.201424 + 0.979504i \(0.564557\pi\)
\(684\) 0.0138917 0.0240612i 0.000531164 0.000920003i
\(685\) 6.64383 9.67837i 0.253848 0.369791i
\(686\) −8.79253 16.3000i −0.335700 0.622339i
\(687\) −24.8387 24.8387i −0.947654 0.947654i
\(688\) 9.47570 2.53901i 0.361258 0.0967987i
\(689\) 13.8765 + 24.0349i 0.528654 + 0.915656i
\(690\) 14.2087 + 1.11029i 0.540915 + 0.0422679i
\(691\) −16.0250 + 27.7562i −0.609621 + 1.05590i 0.381681 + 0.924294i \(0.375345\pi\)
−0.991303 + 0.131601i \(0.957988\pi\)
\(692\) −16.0881 + 16.0881i −0.611576 + 0.611576i
\(693\) −0.144830 + 0.0606974i −0.00550165 + 0.00230571i
\(694\) 5.26341i 0.199796i
\(695\) 29.3627 + 10.3795i 1.11379 + 0.393717i
\(696\) 7.56063 + 13.0954i 0.286585 + 0.496379i
\(697\) −4.88053 + 18.2144i −0.184863 + 0.689919i
\(698\) −3.96796 14.8086i −0.150190 0.560516i
\(699\) 50.3032 1.90264
\(700\) −5.69753 11.9389i −0.215346 0.451249i
\(701\) 19.0530i 0.719622i −0.933025 0.359811i \(-0.882841\pi\)
0.933025 0.359811i \(-0.117159\pi\)
\(702\) −15.3644 + 4.11688i −0.579893 + 0.155382i
\(703\) 3.02000 11.2708i 0.113902 0.425087i
\(704\) 3.14906 1.04087i 0.118685 0.0392294i
\(705\) 6.53908 + 2.31151i 0.246276 + 0.0870566i
\(706\) 0.131936i 0.00496548i
\(707\) 2.26358 + 1.08221i 0.0851307 + 0.0407006i
\(708\) −5.65951 + 5.65951i −0.212697 + 0.212697i
\(709\) −40.5341 23.4024i −1.52229 0.878894i −0.999653 0.0263376i \(-0.991616\pi\)
−0.522636 0.852556i \(-0.675051\pi\)
\(710\) 0.706382 9.03978i 0.0265100 0.339257i
\(711\) 0.0215089 0.0124181i 0.000806646 0.000465717i
\(712\) 3.72280 + 13.8937i 0.139518 + 0.520688i
\(713\) 16.2595 16.2595i 0.608924 0.608924i
\(714\) −13.1245 + 4.63416i −0.491172 + 0.173429i
\(715\) −16.3312 + 15.6733i −0.610752 + 0.586149i
\(716\) 3.19913 5.54106i 0.119557 0.207079i
\(717\) −11.9779 3.20946i −0.447322 0.119860i
\(718\) −30.4370 8.15558i −1.13590 0.304363i
\(719\) −14.6358 8.45001i −0.545825 0.315132i 0.201611 0.979466i \(-0.435382\pi\)
−0.747436 + 0.664333i \(0.768716\pi\)
\(720\) 0.0393421 0.00731429i 0.00146619 0.000272587i
\(721\) −20.5173 + 23.9783i −0.764103 + 0.892998i
\(722\) −11.7307 + 11.7307i −0.436571 + 0.436571i
\(723\) −14.6666 + 3.92989i −0.545455 + 0.146154i
\(724\) 1.51050 0.872088i 0.0561373 0.0324109i
\(725\) 34.0557 + 27.5150i 1.26480 + 1.02188i
\(726\) 11.3206 + 15.2538i 0.420148 + 0.566121i
\(727\) −14.1045 14.1045i −0.523106 0.523106i 0.395402 0.918508i \(-0.370605\pi\)
−0.918508 + 0.395402i \(0.870605\pi\)
\(728\) 6.65919 4.56780i 0.246806 0.169294i
\(729\) 27.1591i 1.00589i
\(730\) −22.9057 8.09697i −0.847777 0.299682i
\(731\) −14.9425 25.8811i −0.552668 0.957249i
\(732\) −14.2448 3.81689i −0.526505 0.141076i
\(733\) −4.01086 + 1.07471i −0.148144 + 0.0396952i −0.332129 0.943234i \(-0.607767\pi\)
0.183985 + 0.982929i \(0.441100\pi\)
\(734\) −14.3182 −0.528493
\(735\) −22.2954 + 15.2817i −0.822380 + 0.563672i
\(736\) 3.69087i 0.136047i
\(737\) −51.4283 + 2.95679i −1.89439 + 0.108915i
\(738\) −0.106999 0.0286703i −0.00393869 0.00105537i
\(739\) 8.71193 + 15.0895i 0.320474 + 0.555076i 0.980586 0.196091i \(-0.0628246\pi\)
−0.660112 + 0.751167i \(0.729491\pi\)
\(740\) 15.1647 7.24356i 0.557465 0.266278i
\(741\) −8.18283 −0.300604
\(742\) −19.8390 + 13.6083i −0.728311 + 0.499577i
\(743\) −3.91434 3.91434i −0.143603 0.143603i 0.631650 0.775254i \(-0.282378\pi\)
−0.775254 + 0.631650i \(0.782378\pi\)
\(744\) −5.37930 + 9.31722i −0.197215 + 0.341586i
\(745\) −8.15108 + 6.96954i −0.298633 + 0.255344i
\(746\) 6.65144 + 11.5206i 0.243526 + 0.421800i
\(747\) −0.0393712 0.146935i −0.00144052 0.00537608i
\(748\) −5.54578 8.44569i −0.202774 0.308805i
\(749\) −13.7956 + 16.1228i −0.504080 + 0.589113i
\(750\) −16.4451 + 10.1154i −0.600491 + 0.369362i
\(751\) 9.90854 17.1621i 0.361568 0.626254i −0.626651 0.779300i \(-0.715575\pi\)
0.988219 + 0.153046i \(0.0489083\pi\)
\(752\) 0.464873 1.73493i 0.0169522 0.0632664i
\(753\) −7.57912 2.03082i −0.276199 0.0740072i
\(754\) −13.3630 + 23.1454i −0.486651 + 0.842904i
\(755\) −20.6541 + 3.83991i −0.751681 + 0.139749i
\(756\) −4.59081 13.0017i −0.166966 0.472869i
\(757\) −29.2726 29.2726i −1.06393 1.06393i −0.997812 0.0661176i \(-0.978939\pi\)
−0.0661176 0.997812i \(-0.521061\pi\)
\(758\) −3.23035 + 0.865571i −0.117332 + 0.0314389i
\(759\) 20.0711 6.63419i 0.728535 0.240806i
\(760\) 3.46098 + 0.270446i 0.125543 + 0.00981010i
\(761\) −11.0793 6.39665i −0.401625 0.231879i 0.285560 0.958361i \(-0.407821\pi\)
−0.687185 + 0.726482i \(0.741154\pi\)
\(762\) −12.7484 12.7484i −0.461827 0.461827i
\(763\) 9.70988 20.3095i 0.351521 0.735252i
\(764\) 1.02113i 0.0369433i
\(765\) −0.0525427 0.110000i −0.00189969 0.00397708i
\(766\) 17.8205 10.2887i 0.643881 0.371745i
\(767\) −13.6642 3.66130i −0.493384 0.132202i
\(768\) 0.446949 + 1.66804i 0.0161279 + 0.0601900i
\(769\) 25.9007 0.934002 0.467001 0.884257i \(-0.345334\pi\)
0.467001 + 0.884257i \(0.345334\pi\)
\(770\) −14.6433 13.0604i −0.527708 0.470664i
\(771\) −25.2844 −0.910597
\(772\) 0.788030 + 2.94097i 0.0283618 + 0.105848i
\(773\) −20.5331 5.50184i −0.738526