Properties

Label 384.2.v.a.13.2
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39658 - 0.222610i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(1.90089 + 0.621788i) q^{4} +(0.0409738 + 0.416014i) q^{5} +(0.192382 + 1.40107i) q^{6} +(-0.338624 + 0.506787i) q^{7} +(-2.51633 - 1.29154i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.39658 - 0.222610i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(1.90089 + 0.621788i) q^{4} +(0.0409738 + 0.416014i) q^{5} +(0.192382 + 1.40107i) q^{6} +(-0.338624 + 0.506787i) q^{7} +(-2.51633 - 1.29154i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(0.0353857 - 0.590120i) q^{10} +(2.06540 - 1.10398i) q^{11} +(0.0432145 - 1.99953i) q^{12} +(6.13408 + 0.604154i) q^{13} +(0.585733 - 0.632389i) q^{14} +(0.386207 - 0.159972i) q^{15} +(3.22676 + 2.36390i) q^{16} +(-1.03287 - 0.427827i) q^{17} +(1.28489 - 0.590806i) q^{18} +(-2.98293 + 2.44803i) q^{19} +(-0.180786 + 0.816274i) q^{20} +(0.583262 + 0.176931i) q^{21} +(-3.13027 + 1.08202i) q^{22} +(0.814610 - 4.09532i) q^{23} +(-0.505469 + 2.78289i) q^{24} +(4.73254 - 0.941360i) q^{25} +(-8.43226 - 2.20926i) q^{26} +(0.773010 + 0.634393i) q^{27} +(-0.958801 + 0.752794i) q^{28} +(-0.734072 + 1.37335i) q^{29} +(-0.574981 + 0.137441i) q^{30} +(5.44942 - 5.44942i) q^{31} +(-3.98021 - 4.01969i) q^{32} +(-1.65600 - 1.65600i) q^{33} +(1.34724 + 0.827422i) q^{34} +(-0.224705 - 0.120107i) q^{35} +(-1.92598 + 0.539080i) q^{36} +(3.28325 - 4.00065i) q^{37} +(4.71087 - 2.75484i) q^{38} +(-1.20249 - 6.04532i) q^{39} +(0.434193 - 1.09975i) q^{40} +(8.27977 + 1.64695i) q^{41} +(-0.775188 - 0.376939i) q^{42} +(1.68787 - 5.56418i) q^{43} +(4.61255 - 0.814304i) q^{44} +(-0.265194 - 0.323139i) q^{45} +(-2.04933 + 5.53811i) q^{46} +(2.83461 - 6.84336i) q^{47} +(1.32543 - 3.77402i) q^{48} +(2.53662 + 6.12394i) q^{49} +(-6.81894 + 0.261176i) q^{50} +(-0.109580 + 1.11258i) q^{51} +(11.2845 + 4.96252i) q^{52} +(-0.184717 - 0.345582i) q^{53} +(-0.938351 - 1.05806i) q^{54} +(0.543899 + 0.814003i) q^{55} +(1.50662 - 0.837900i) q^{56} +(3.20852 + 2.14386i) q^{57} +(1.33091 - 1.75459i) q^{58} +(-10.7359 + 1.05739i) q^{59} +(0.833605 - 0.0639507i) q^{60} +(-11.3165 + 3.43284i) q^{61} +(-8.82367 + 6.39748i) q^{62} -0.609507i q^{63} +(4.66387 + 6.49987i) q^{64} +2.57662i q^{65} +(1.94410 + 2.68138i) q^{66} +(-7.58663 + 2.30138i) q^{67} +(-1.69735 - 1.45547i) q^{68} +(-4.15545 + 0.409276i) q^{69} +(0.287082 + 0.217762i) q^{70} +(6.87928 + 4.59659i) q^{71} +(2.80979 - 0.324128i) q^{72} +(0.422635 + 0.632519i) q^{73} +(-5.47591 + 4.85635i) q^{74} +(-2.27461 - 4.25549i) q^{75} +(-7.19237 + 2.79868i) q^{76} +(-0.139912 + 1.42055i) q^{77} +(0.333626 + 8.71048i) q^{78} +(-1.95015 - 4.70808i) q^{79} +(-0.851203 + 1.43924i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-11.1968 - 4.14326i) q^{82} +(5.03186 + 6.13134i) q^{83} +(0.998704 + 0.698991i) q^{84} +(0.135662 - 0.447216i) q^{85} +(-3.59590 + 7.39510i) q^{86} +(1.52731 + 0.303800i) q^{87} +(-6.62308 + 0.110443i) q^{88} +(1.92002 + 9.65260i) q^{89} +(0.298431 + 0.510326i) q^{90} +(-2.38332 + 2.90409i) q^{91} +(4.09490 - 7.27824i) q^{92} +(-6.79666 - 3.63289i) q^{93} +(-5.48218 + 8.92631i) q^{94} +(-1.14064 - 1.14064i) q^{95} +(-2.69121 + 4.97568i) q^{96} +(4.85430 - 4.85430i) q^{97} +(-2.17935 - 9.11726i) q^{98} +(-1.10398 + 2.06540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39658 0.222610i −0.987533 0.157409i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) 1.90089 + 0.621788i 0.950445 + 0.310894i
\(5\) 0.0409738 + 0.416014i 0.0183240 + 0.186047i 0.999990 0.00456440i \(-0.00145290\pi\)
−0.981666 + 0.190612i \(0.938953\pi\)
\(6\) 0.192382 + 1.40107i 0.0785396 + 0.571983i
\(7\) −0.338624 + 0.506787i −0.127988 + 0.191547i −0.889929 0.456099i \(-0.849246\pi\)
0.761941 + 0.647646i \(0.224246\pi\)
\(8\) −2.51633 1.29154i −0.889658 0.456627i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 0.0353857 0.590120i 0.0111899 0.186612i
\(11\) 2.06540 1.10398i 0.622743 0.332863i −0.129668 0.991557i \(-0.541391\pi\)
0.752410 + 0.658695i \(0.228891\pi\)
\(12\) 0.0432145 1.99953i 0.0124750 0.577215i
\(13\) 6.13408 + 0.604154i 1.70129 + 0.167562i 0.901517 0.432744i \(-0.142455\pi\)
0.799770 + 0.600306i \(0.204955\pi\)
\(14\) 0.585733 0.632389i 0.156544 0.169013i
\(15\) 0.386207 0.159972i 0.0997181 0.0413046i
\(16\) 3.22676 + 2.36390i 0.806690 + 0.590975i
\(17\) −1.03287 0.427827i −0.250507 0.103763i 0.253897 0.967231i \(-0.418288\pi\)
−0.504404 + 0.863468i \(0.668288\pi\)
\(18\) 1.28489 0.590806i 0.302852 0.139254i
\(19\) −2.98293 + 2.44803i −0.684331 + 0.561616i −0.911026 0.412350i \(-0.864708\pi\)
0.226694 + 0.973966i \(0.427208\pi\)
\(20\) −0.180786 + 0.816274i −0.0404249 + 0.182524i
\(21\) 0.583262 + 0.176931i 0.127278 + 0.0386094i
\(22\) −3.13027 + 1.08202i −0.667375 + 0.230688i
\(23\) 0.814610 4.09532i 0.169858 0.853933i −0.798043 0.602601i \(-0.794131\pi\)
0.967901 0.251333i \(-0.0808688\pi\)
\(24\) −0.505469 + 2.78289i −0.103178 + 0.568056i
\(25\) 4.73254 0.941360i 0.946507 0.188272i
\(26\) −8.43226 2.20926i −1.65370 0.433271i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) −0.958801 + 0.752794i −0.181196 + 0.142265i
\(29\) −0.734072 + 1.37335i −0.136314 + 0.255025i −0.940811 0.338931i \(-0.889935\pi\)
0.804498 + 0.593956i \(0.202435\pi\)
\(30\) −0.574981 + 0.137441i −0.104977 + 0.0250931i
\(31\) 5.44942 5.44942i 0.978745 0.978745i −0.0210335 0.999779i \(-0.506696\pi\)
0.999779 + 0.0210335i \(0.00669566\pi\)
\(32\) −3.98021 4.01969i −0.703609 0.710588i
\(33\) −1.65600 1.65600i −0.288272 0.288272i
\(34\) 1.34724 + 0.827422i 0.231050 + 0.141902i
\(35\) −0.224705 0.120107i −0.0379821 0.0203019i
\(36\) −1.92598 + 0.539080i −0.320996 + 0.0898467i
\(37\) 3.28325 4.00065i 0.539763 0.657703i −0.429691 0.902976i \(-0.641378\pi\)
0.969454 + 0.245273i \(0.0788776\pi\)
\(38\) 4.71087 2.75484i 0.764204 0.446895i
\(39\) −1.20249 6.04532i −0.192552 0.968026i
\(40\) 0.434193 1.09975i 0.0686520 0.173886i
\(41\) 8.27977 + 1.64695i 1.29308 + 0.257210i 0.793241 0.608907i \(-0.208392\pi\)
0.499841 + 0.866117i \(0.333392\pi\)
\(42\) −0.775188 0.376939i −0.119614 0.0581629i
\(43\) 1.68787 5.56418i 0.257398 0.848529i −0.729050 0.684460i \(-0.760038\pi\)
0.986449 0.164069i \(-0.0524619\pi\)
\(44\) 4.61255 0.814304i 0.695367 0.122761i
\(45\) −0.265194 0.323139i −0.0395327 0.0481708i
\(46\) −2.04933 + 5.53811i −0.302157 + 0.816550i
\(47\) 2.83461 6.84336i 0.413471 0.998207i −0.570728 0.821139i \(-0.693339\pi\)
0.984199 0.177068i \(-0.0566612\pi\)
\(48\) 1.32543 3.77402i 0.191309 0.544733i
\(49\) 2.53662 + 6.12394i 0.362374 + 0.874848i
\(50\) −6.81894 + 0.261176i −0.964344 + 0.0369359i
\(51\) −0.109580 + 1.11258i −0.0153442 + 0.155793i
\(52\) 11.2845 + 4.96252i 1.56489 + 0.688178i
\(53\) −0.184717 0.345582i −0.0253729 0.0474694i 0.868915 0.494961i \(-0.164818\pi\)
−0.894288 + 0.447491i \(0.852318\pi\)
\(54\) −0.938351 1.05806i −0.127693 0.143984i
\(55\) 0.543899 + 0.814003i 0.0733394 + 0.109760i
\(56\) 1.50662 0.837900i 0.201331 0.111969i
\(57\) 3.20852 + 2.14386i 0.424978 + 0.283961i
\(58\) 1.33091 1.75459i 0.174758 0.230389i
\(59\) −10.7359 + 1.05739i −1.39769 + 0.137661i −0.768629 0.639695i \(-0.779061\pi\)
−0.629062 + 0.777355i \(0.716561\pi\)
\(60\) 0.833605 0.0639507i 0.107618 0.00825600i
\(61\) −11.3165 + 3.43284i −1.44894 + 0.439530i −0.914121 0.405440i \(-0.867118\pi\)
−0.534814 + 0.844970i \(0.679618\pi\)
\(62\) −8.82367 + 6.39748i −1.12061 + 0.812480i
\(63\) 0.609507i 0.0767907i
\(64\) 4.66387 + 6.49987i 0.582984 + 0.812484i
\(65\) 2.57662i 0.319590i
\(66\) 1.94410 + 2.68138i 0.239302 + 0.330055i
\(67\) −7.58663 + 2.30138i −0.926854 + 0.281158i −0.717401 0.696661i \(-0.754668\pi\)
−0.209453 + 0.977819i \(0.567168\pi\)
\(68\) −1.69735 1.45547i −0.205833 0.176502i
\(69\) −4.15545 + 0.409276i −0.500257 + 0.0492710i
\(70\) 0.287082 + 0.217762i 0.0343129 + 0.0260275i
\(71\) 6.87928 + 4.59659i 0.816421 + 0.545515i 0.892216 0.451609i \(-0.149150\pi\)
−0.0757956 + 0.997123i \(0.524150\pi\)
\(72\) 2.80979 0.324128i 0.331137 0.0381988i
\(73\) 0.422635 + 0.632519i 0.0494657 + 0.0740307i 0.855378 0.518004i \(-0.173325\pi\)
−0.805912 + 0.592035i \(0.798325\pi\)
\(74\) −5.47591 + 4.85635i −0.636562 + 0.564540i
\(75\) −2.27461 4.25549i −0.262649 0.491382i
\(76\) −7.19237 + 2.79868i −0.825022 + 0.321031i
\(77\) −0.139912 + 1.42055i −0.0159445 + 0.161887i
\(78\) 0.333626 + 8.71048i 0.0377757 + 0.986268i
\(79\) −1.95015 4.70808i −0.219409 0.529700i 0.775399 0.631472i \(-0.217549\pi\)
−0.994808 + 0.101772i \(0.967549\pi\)
\(80\) −0.851203 + 1.43924i −0.0951673 + 0.160911i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −11.1968 4.14326i −1.23647 0.457547i
\(83\) 5.03186 + 6.13134i 0.552318 + 0.673002i 0.972085 0.234631i \(-0.0753880\pi\)
−0.419767 + 0.907632i \(0.637888\pi\)
\(84\) 0.998704 + 0.698991i 0.108968 + 0.0762662i
\(85\) 0.135662 0.447216i 0.0147146 0.0485074i
\(86\) −3.59590 + 7.39510i −0.387756 + 0.797434i
\(87\) 1.52731 + 0.303800i 0.163744 + 0.0325708i
\(88\) −6.62308 + 0.110443i −0.706022 + 0.0117733i
\(89\) 1.92002 + 9.65260i 0.203522 + 1.02317i 0.938552 + 0.345139i \(0.112168\pi\)
−0.735030 + 0.678035i \(0.762832\pi\)
\(90\) 0.298431 + 0.510326i 0.0314574 + 0.0537931i
\(91\) −2.38332 + 2.90409i −0.249840 + 0.304431i
\(92\) 4.09490 7.27824i 0.426923 0.758809i
\(93\) −6.79666 3.63289i −0.704780 0.376713i
\(94\) −5.48218 + 8.92631i −0.565443 + 0.920679i
\(95\) −1.14064 1.14064i −0.117027 0.117027i
\(96\) −2.69121 + 4.97568i −0.274670 + 0.507828i
\(97\) 4.85430 4.85430i 0.492880 0.492880i −0.416333 0.909212i \(-0.636685\pi\)
0.909212 + 0.416333i \(0.136685\pi\)
\(98\) −2.17935 9.11726i −0.220147 0.920983i
\(99\) −1.10398 + 2.06540i −0.110954 + 0.207581i
\(100\) 9.58136 + 1.15321i 0.958136 + 0.115321i
\(101\) 7.15808 + 5.87448i 0.712255 + 0.584533i 0.919186 0.393823i \(-0.128848\pi\)
−0.206931 + 0.978356i \(0.566348\pi\)
\(102\) 0.400709 1.52942i 0.0396762 0.151435i
\(103\) −5.46101 + 1.08626i −0.538089 + 0.107033i −0.456651 0.889646i \(-0.650951\pi\)
−0.0814381 + 0.996678i \(0.525951\pi\)
\(104\) −14.6551 9.44263i −1.43705 0.925926i
\(105\) −0.0497072 + 0.249895i −0.00485092 + 0.0243872i
\(106\) 0.181043 + 0.523754i 0.0175845 + 0.0508715i
\(107\) 2.25225 + 0.683212i 0.217733 + 0.0660486i 0.397267 0.917703i \(-0.369959\pi\)
−0.179533 + 0.983752i \(0.557459\pi\)
\(108\) 1.07495 + 1.68656i 0.103437 + 0.162289i
\(109\) −5.96616 + 4.89630i −0.571454 + 0.468980i −0.875192 0.483775i \(-0.839265\pi\)
0.303738 + 0.952756i \(0.401765\pi\)
\(110\) −0.578395 1.25790i −0.0551478 0.119936i
\(111\) −4.78146 1.98055i −0.453836 0.187985i
\(112\) −2.29065 + 0.834807i −0.216446 + 0.0788818i
\(113\) −16.1462 + 6.68799i −1.51891 + 0.629153i −0.977373 0.211524i \(-0.932157\pi\)
−0.541537 + 0.840677i \(0.682157\pi\)
\(114\) −4.00371 3.70833i −0.374982 0.347317i
\(115\) 1.73709 + 0.171088i 0.161984 + 0.0159541i
\(116\) −2.24932 + 2.15415i −0.208844 + 0.200008i
\(117\) −5.43595 + 2.90558i −0.502554 + 0.268621i
\(118\) 15.2289 + 0.913180i 1.40194 + 0.0840650i
\(119\) 0.566570 0.378570i 0.0519374 0.0347035i
\(120\) −1.17843 0.0962565i −0.107576 0.00878698i
\(121\) −3.06416 + 4.58583i −0.278560 + 0.416894i
\(122\) 16.5687 2.27506i 1.50006 0.205974i
\(123\) −0.827458 8.40133i −0.0746094 0.757522i
\(124\) 13.7471 6.97037i 1.23453 0.625957i
\(125\) 1.19226 + 3.93037i 0.106639 + 0.351543i
\(126\) −0.135683 + 0.851228i −0.0120876 + 0.0758334i
\(127\) −4.84433 −0.429864 −0.214932 0.976629i \(-0.568953\pi\)
−0.214932 + 0.976629i \(0.568953\pi\)
\(128\) −5.06655 10.1158i −0.447824 0.894122i
\(129\) −5.81455 −0.511942
\(130\) 0.573582 3.59846i 0.0503064 0.315606i
\(131\) 2.68374 + 8.84711i 0.234480 + 0.772975i 0.992661 + 0.120932i \(0.0385882\pi\)
−0.758181 + 0.652044i \(0.773912\pi\)
\(132\) −2.11819 4.17755i −0.184365 0.363609i
\(133\) −0.230536 2.34067i −0.0199900 0.202962i
\(134\) 11.1077 1.52520i 0.959556 0.131758i
\(135\) −0.232243 + 0.347577i −0.0199883 + 0.0299146i
\(136\) 2.04648 + 2.41054i 0.175484 + 0.206702i
\(137\) 0.482280 0.322249i 0.0412040 0.0275316i −0.534798 0.844980i \(-0.679612\pi\)
0.576002 + 0.817449i \(0.304612\pi\)
\(138\) 5.89453 + 0.353457i 0.501776 + 0.0300883i
\(139\) −11.8735 + 6.34650i −1.00709 + 0.538303i −0.890551 0.454882i \(-0.849681\pi\)
−0.116543 + 0.993186i \(0.537181\pi\)
\(140\) −0.352459 0.368030i −0.0297882 0.0311042i
\(141\) −7.37154 0.726033i −0.620795 0.0611430i
\(142\) −8.58424 7.95092i −0.720374 0.667226i
\(143\) 13.3363 5.52408i 1.11524 0.461947i
\(144\) −3.99627 0.172818i −0.333022 0.0144015i
\(145\) −0.601411 0.249113i −0.0499445 0.0206877i
\(146\) −0.449440 0.977448i −0.0371959 0.0808942i
\(147\) 5.12390 4.20508i 0.422612 0.346829i
\(148\) 8.72864 5.56331i 0.717490 0.457301i
\(149\) −0.177772 0.0539265i −0.0145636 0.00441783i 0.282994 0.959122i \(-0.408672\pi\)
−0.297558 + 0.954704i \(0.596172\pi\)
\(150\) 2.22936 + 6.44950i 0.182027 + 0.526600i
\(151\) −1.71263 + 8.60995i −0.139371 + 0.700668i 0.846396 + 0.532554i \(0.178768\pi\)
−0.985768 + 0.168114i \(0.946232\pi\)
\(152\) 10.6678 2.30749i 0.865270 0.187163i
\(153\) 1.09648 0.218104i 0.0886455 0.0176327i
\(154\) 0.511629 1.95278i 0.0412283 0.157359i
\(155\) 2.49032 + 2.04375i 0.200027 + 0.164158i
\(156\) 1.47311 12.2392i 0.117943 0.979919i
\(157\) 4.42119 8.27146i 0.352849 0.660134i −0.641402 0.767205i \(-0.721647\pi\)
0.994251 + 0.107070i \(0.0341470\pi\)
\(158\) 1.67548 + 7.00935i 0.133294 + 0.557634i
\(159\) −0.277081 + 0.277081i −0.0219739 + 0.0219739i
\(160\) 1.50916 1.82053i 0.119310 0.143925i
\(161\) 1.79961 + 1.79961i 0.141829 + 0.141829i
\(162\) −0.740114 + 1.20509i −0.0581489 + 0.0946804i
\(163\) −0.669026 0.357602i −0.0524022 0.0280096i 0.444988 0.895537i \(-0.353208\pi\)
−0.497390 + 0.867527i \(0.665708\pi\)
\(164\) 14.7149 + 8.27892i 1.14904 + 0.646475i
\(165\) 0.621066 0.756772i 0.0483500 0.0589146i
\(166\) −5.66251 9.68306i −0.439496 0.751552i
\(167\) −3.61584 18.1780i −0.279802 1.40666i −0.823471 0.567359i \(-0.807965\pi\)
0.543669 0.839300i \(-0.317035\pi\)
\(168\) −1.23917 1.19852i −0.0956041 0.0924679i
\(169\) 24.5117 + 4.87568i 1.88552 + 0.375052i
\(170\) −0.289018 + 0.594375i −0.0221666 + 0.0455865i
\(171\) 1.12016 3.69269i 0.0856611 0.282387i
\(172\) 6.66820 9.52738i 0.508445 0.726456i
\(173\) 2.77486 + 3.38117i 0.210969 + 0.257066i 0.867734 0.497029i \(-0.165576\pi\)
−0.656765 + 0.754095i \(0.728076\pi\)
\(174\) −2.06538 0.764276i −0.156576 0.0579396i
\(175\) −1.12548 + 2.71716i −0.0850785 + 0.205398i
\(176\) 9.27426 + 1.32012i 0.699074 + 0.0995079i
\(177\) 4.12832 + 9.96664i 0.310303 + 0.749138i
\(178\) −0.532702 13.9081i −0.0399277 1.04245i
\(179\) −1.16050 + 11.7827i −0.0867398 + 0.880684i 0.849094 + 0.528242i \(0.177149\pi\)
−0.935834 + 0.352442i \(0.885351\pi\)
\(180\) −0.303180 0.779146i −0.0225977 0.0580741i
\(181\) −8.96137 16.7656i −0.666094 1.24617i −0.957185 0.289478i \(-0.906518\pi\)
0.291091 0.956695i \(-0.405982\pi\)
\(182\) 3.97499 3.52525i 0.294646 0.261309i
\(183\) 6.57004 + 9.83276i 0.485671 + 0.726858i
\(184\) −7.33908 + 9.25310i −0.541044 + 0.682147i
\(185\) 1.79885 + 1.20196i 0.132254 + 0.0883695i
\(186\) 8.68338 + 6.58664i 0.636696 + 0.482956i
\(187\) −2.60560 + 0.256629i −0.190540 + 0.0187666i
\(188\) 9.64341 11.2460i 0.703318 0.820195i
\(189\) −0.583262 + 0.176931i −0.0424261 + 0.0128698i
\(190\) 1.33908 + 1.84691i 0.0971468 + 0.133989i
\(191\) 19.9430i 1.44302i −0.692403 0.721511i \(-0.743448\pi\)
0.692403 0.721511i \(-0.256552\pi\)
\(192\) 4.86614 6.34986i 0.351183 0.458262i
\(193\) 15.8427i 1.14038i −0.821512 0.570191i \(-0.806869\pi\)
0.821512 0.570191i \(-0.193131\pi\)
\(194\) −7.86006 + 5.69882i −0.564319 + 0.409152i
\(195\) 2.46567 0.747953i 0.176570 0.0535620i
\(196\) 1.01404 + 13.2182i 0.0724316 + 0.944154i
\(197\) 1.21870 0.120031i 0.0868287 0.00855188i −0.0545095 0.998513i \(-0.517360\pi\)
0.141338 + 0.989961i \(0.454860\pi\)
\(198\) 2.00158 2.63875i 0.142246 0.187528i
\(199\) −20.4761 13.6817i −1.45152 0.969872i −0.996858 0.0792050i \(-0.974762\pi\)
−0.454657 0.890667i \(-0.650238\pi\)
\(200\) −13.1244 3.74346i −0.928038 0.264703i
\(201\) 4.40456 + 6.59189i 0.310674 + 0.464956i
\(202\) −8.68913 9.79766i −0.611365 0.689361i
\(203\) −0.447422 0.837068i −0.0314029 0.0587507i
\(204\) −0.900089 + 2.04676i −0.0630188 + 0.143302i
\(205\) −0.345900 + 3.51198i −0.0241587 + 0.245287i
\(206\) 7.86857 0.301379i 0.548229 0.0209981i
\(207\) 1.59791 + 3.85771i 0.111063 + 0.268129i
\(208\) 18.3650 + 16.4498i 1.27339 + 1.14059i
\(209\) −3.45838 + 8.34927i −0.239221 + 0.577531i
\(210\) 0.125049 0.337934i 0.00862923 0.0233196i
\(211\) −0.918023 1.11861i −0.0631993 0.0770086i 0.740451 0.672110i \(-0.234612\pi\)
−0.803651 + 0.595101i \(0.797112\pi\)
\(212\) −0.136249 0.771768i −0.00935761 0.0530053i
\(213\) 2.40171 7.91738i 0.164563 0.542490i
\(214\) −2.99336 1.45554i −0.204622 0.0994984i
\(215\) 2.38393 + 0.474194i 0.162583 + 0.0323398i
\(216\) −1.12581 2.59472i −0.0766017 0.176548i
\(217\) 0.916390 + 4.60700i 0.0622086 + 0.312744i
\(218\) 9.42220 5.50996i 0.638152 0.373182i
\(219\) 0.482598 0.588047i 0.0326109 0.0397366i
\(220\) 0.527756 + 1.88552i 0.0355813 + 0.127122i
\(221\) −6.07720 3.24833i −0.408797 0.218507i
\(222\) 6.23682 + 3.83040i 0.418588 + 0.257079i
\(223\) 15.6533 + 15.6533i 1.04822 + 1.04822i 0.998777 + 0.0494474i \(0.0157460\pi\)
0.0494474 + 0.998777i \(0.484254\pi\)
\(224\) 3.38492 0.655955i 0.226165 0.0438278i
\(225\) −3.41197 + 3.41197i −0.227465 + 0.227465i
\(226\) 24.0384 5.74602i 1.59901 0.382219i
\(227\) −13.8127 + 25.8418i −0.916784 + 1.71518i −0.252666 + 0.967554i \(0.581307\pi\)
−0.664118 + 0.747628i \(0.731193\pi\)
\(228\) 4.76601 + 6.07026i 0.315637 + 0.402013i
\(229\) −21.5818 17.7117i −1.42617 1.17042i −0.957994 0.286787i \(-0.907413\pi\)
−0.468172 0.883637i \(-0.655087\pi\)
\(230\) −2.38790 0.625633i −0.157454 0.0412530i
\(231\) 1.40000 0.278477i 0.0921132 0.0183225i
\(232\) 3.62090 2.50773i 0.237724 0.164641i
\(233\) 3.35240 16.8537i 0.219623 1.10412i −0.700848 0.713310i \(-0.747195\pi\)
0.920471 0.390810i \(-0.127805\pi\)
\(234\) 8.23857 2.84778i 0.538572 0.186165i
\(235\) 2.96308 + 0.898841i 0.193290 + 0.0586339i
\(236\) −21.0652 4.66544i −1.37123 0.303695i
\(237\) −3.93925 + 3.23286i −0.255882 + 0.209997i
\(238\) −0.875536 + 0.402580i −0.0567526 + 0.0260954i
\(239\) 15.9379 + 6.60171i 1.03094 + 0.427029i 0.833052 0.553195i \(-0.186592\pi\)
0.197888 + 0.980225i \(0.436592\pi\)
\(240\) 1.62435 + 0.396762i 0.104852 + 0.0256109i
\(241\) 23.6164 9.78225i 1.52127 0.630130i 0.543423 0.839459i \(-0.317128\pi\)
0.977845 + 0.209329i \(0.0671280\pi\)
\(242\) 5.30020 5.72238i 0.340710 0.367849i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −23.6460 0.511044i −1.51378 0.0327163i
\(245\) −2.44371 + 1.30619i −0.156123 + 0.0834494i
\(246\) −0.714607 + 11.9174i −0.0455617 + 0.759823i
\(247\) −19.7765 + 13.2142i −1.25835 + 0.840802i
\(248\) −20.7507 + 6.67444i −1.31767 + 0.423828i
\(249\) 4.40665 6.59502i 0.279260 0.417942i
\(250\) −0.790155 5.75449i −0.0499738 0.363946i
\(251\) 0.770247 + 7.82045i 0.0486176 + 0.493622i 0.988403 + 0.151856i \(0.0485251\pi\)
−0.939785 + 0.341766i \(0.888975\pi\)
\(252\) 0.378984 1.15861i 0.0238738 0.0729853i
\(253\) −2.83866 9.35780i −0.178465 0.588320i
\(254\) 6.76550 + 1.07840i 0.424505 + 0.0676646i
\(255\) −0.467340 −0.0292660
\(256\) 4.82397 + 15.2555i 0.301498 + 0.953467i
\(257\) −18.6111 −1.16093 −0.580464 0.814286i \(-0.697129\pi\)
−0.580464 + 0.814286i \(0.697129\pi\)
\(258\) 8.12050 + 1.29438i 0.505560 + 0.0805845i
\(259\) 0.915690 + 3.01862i 0.0568982 + 0.187568i
\(260\) −1.60211 + 4.89786i −0.0993586 + 0.303753i
\(261\) −0.152635 1.54973i −0.00944787 0.0959258i
\(262\) −1.77861 12.9532i −0.109883 0.800248i
\(263\) −0.981916 + 1.46954i −0.0605475 + 0.0906158i −0.860508 0.509437i \(-0.829854\pi\)
0.799960 + 0.600053i \(0.204854\pi\)
\(264\) 2.02827 + 6.30583i 0.124831 + 0.388097i
\(265\) 0.136198 0.0910049i 0.00836661 0.00559039i
\(266\) −0.199095 + 3.32026i −0.0122073 + 0.203578i
\(267\) 8.67961 4.63935i 0.531183 0.283923i
\(268\) −15.8523 0.342605i −0.968334 0.0209279i
\(269\) 12.5169 + 1.23280i 0.763166 + 0.0751653i 0.472109 0.881540i \(-0.343493\pi\)
0.291058 + 0.956706i \(0.405993\pi\)
\(270\) 0.401721 0.433720i 0.0244480 0.0263954i
\(271\) 4.47825 1.85495i 0.272034 0.112680i −0.242496 0.970152i \(-0.577966\pi\)
0.514530 + 0.857472i \(0.327966\pi\)
\(272\) −2.32147 3.82208i −0.140760 0.231748i
\(273\) 3.47088 + 1.43769i 0.210067 + 0.0870128i
\(274\) −0.745280 + 0.342687i −0.0450240 + 0.0207025i
\(275\) 8.73536 7.16892i 0.526762 0.432302i
\(276\) −8.15353 1.80582i −0.490785 0.108697i
\(277\) −8.60193 2.60937i −0.516840 0.156782i 0.0210799 0.999778i \(-0.493290\pi\)
−0.537920 + 0.842996i \(0.680790\pi\)
\(278\) 17.9951 6.22026i 1.07927 0.373066i
\(279\) −1.50349 + 7.55857i −0.0900117 + 0.452520i
\(280\) 0.410310 + 0.592445i 0.0245207 + 0.0354054i
\(281\) −4.72946 + 0.940748i −0.282136 + 0.0561203i −0.334130 0.942527i \(-0.608442\pi\)
0.0519939 + 0.998647i \(0.483442\pi\)
\(282\) 10.1333 + 2.65494i 0.603432 + 0.158100i
\(283\) −14.0344 11.5177i −0.834259 0.684658i 0.116973 0.993135i \(-0.462681\pi\)
−0.951232 + 0.308477i \(0.900181\pi\)
\(284\) 10.2187 + 13.0151i 0.606365 + 0.772302i
\(285\) −0.760412 + 1.42263i −0.0450429 + 0.0842693i
\(286\) −19.8550 + 4.74604i −1.17405 + 0.280639i
\(287\) −3.63838 + 3.63838i −0.214767 + 0.214767i
\(288\) 5.54265 + 1.13096i 0.326604 + 0.0666427i
\(289\) −11.1370 11.1370i −0.655120 0.655120i
\(290\) 0.784466 + 0.481787i 0.0460654 + 0.0282915i
\(291\) −6.05441 3.23615i −0.354916 0.189706i
\(292\) 0.410091 + 1.46514i 0.0239988 + 0.0857407i
\(293\) 10.1985 12.4270i 0.595805 0.725991i −0.384578 0.923093i \(-0.625653\pi\)
0.980383 + 0.197102i \(0.0631529\pi\)
\(294\) −8.09205 + 4.73211i −0.471938 + 0.275982i
\(295\) −0.879779 4.42295i −0.0512227 0.257514i
\(296\) −13.4287 + 5.82654i −0.780529 + 0.338661i
\(297\) 2.29694 + 0.456889i 0.133282 + 0.0265114i
\(298\) 0.236269 + 0.114887i 0.0136867 + 0.00665521i
\(299\) 7.47108 24.6289i 0.432064 1.42432i
\(300\) −1.67777 9.50355i −0.0968659 0.548687i
\(301\) 2.24830 + 2.73956i 0.129590 + 0.157905i
\(302\) 4.30849 11.6433i 0.247926 0.669995i
\(303\) 3.54365 8.55513i 0.203577 0.491479i
\(304\) −15.4121 + 0.847855i −0.883944 + 0.0486278i
\(305\) −1.89179 4.56719i −0.108324 0.261516i
\(306\) −1.57988 + 0.0605121i −0.0903159 + 0.00345925i
\(307\) −1.69690 + 17.2289i −0.0968474 + 0.983308i 0.816833 + 0.576874i \(0.195728\pi\)
−0.913680 + 0.406434i \(0.866772\pi\)
\(308\) −1.14924 + 2.61332i −0.0654841 + 0.148908i
\(309\) 2.62474 + 4.91054i 0.149316 + 0.279351i
\(310\) −3.02298 3.40864i −0.171694 0.193598i
\(311\) 9.06083 + 13.5605i 0.513793 + 0.768945i 0.994136 0.108135i \(-0.0344880\pi\)
−0.480344 + 0.877080i \(0.659488\pi\)
\(312\) −4.78188 + 16.7651i −0.270721 + 0.949137i
\(313\) −1.76224 1.17749i −0.0996075 0.0665556i 0.504769 0.863254i \(-0.331578\pi\)
−0.604376 + 0.796699i \(0.706578\pi\)
\(314\) −8.01587 + 10.5676i −0.452362 + 0.596363i
\(315\) 0.253564 0.0249738i 0.0142867 0.00140712i
\(316\) −0.779595 10.1621i −0.0438556 0.571664i
\(317\) −30.4668 + 9.24201i −1.71119 + 0.519083i −0.985607 0.169055i \(-0.945929\pi\)
−0.725580 + 0.688138i \(0.758429\pi\)
\(318\) 0.448647 0.325285i 0.0251589 0.0182411i
\(319\) 3.64693i 0.204189i
\(320\) −2.51294 + 2.20656i −0.140478 + 0.123351i
\(321\) 2.35359i 0.131365i
\(322\) −2.11269 2.91391i −0.117736 0.162386i
\(323\) 4.12830 1.25231i 0.229705 0.0696801i
\(324\) 1.30190 1.51824i 0.0723275 0.0843469i
\(325\) 29.5985 2.91520i 1.64183 0.161706i
\(326\) 0.854745 + 0.648353i 0.0473400 + 0.0359090i
\(327\) 6.41735 + 4.28794i 0.354880 + 0.237123i
\(328\) −18.7076 14.8379i −1.03295 0.819285i
\(329\) 2.50826 + 3.75387i 0.138285 + 0.206958i
\(330\) −1.03584 + 0.918639i −0.0570209 + 0.0505694i
\(331\) −1.97375 3.69262i −0.108487 0.202965i 0.821820 0.569748i \(-0.192959\pi\)
−0.930307 + 0.366783i \(0.880459\pi\)
\(332\) 5.75262 + 14.7837i 0.315716 + 0.811363i
\(333\) −0.507279 + 5.15049i −0.0277987 + 0.282245i
\(334\) 1.00320 + 26.1921i 0.0548926 + 1.43317i
\(335\) −1.26826 3.06185i −0.0692924 0.167287i
\(336\) 1.46380 + 1.94969i 0.0798569 + 0.106364i
\(337\) −10.7330 + 25.9119i −0.584666 + 1.41151i 0.303875 + 0.952712i \(0.401719\pi\)
−0.888541 + 0.458797i \(0.848281\pi\)
\(338\) −33.1472 12.2658i −1.80297 0.667174i
\(339\) 11.0870 + 13.5096i 0.602164 + 0.733739i
\(340\) 0.535951 0.765756i 0.0290660 0.0415290i
\(341\) 5.23920 17.2713i 0.283718 0.935294i
\(342\) −2.38643 + 4.90779i −0.129044 + 0.265383i
\(343\) −8.14706 1.62055i −0.439900 0.0875016i
\(344\) −11.4336 + 11.8214i −0.616458 + 0.637366i
\(345\) −0.340529 1.71195i −0.0183335 0.0921685i
\(346\) −3.12264 5.33980i −0.167874 0.287070i
\(347\) −14.3509 + 17.4867i −0.770398 + 0.938733i −0.999398 0.0346937i \(-0.988954\pi\)
0.229000 + 0.973426i \(0.426454\pi\)
\(348\) 2.71434 + 1.52715i 0.145504 + 0.0818638i
\(349\) 17.1181 + 9.14984i 0.916313 + 0.489779i 0.860952 0.508687i \(-0.169869\pi\)
0.0553613 + 0.998466i \(0.482369\pi\)
\(350\) 2.17670 3.54419i 0.116349 0.189445i
\(351\) 4.35843 + 4.35843i 0.232636 + 0.232636i
\(352\) −12.6584 3.90821i −0.674695 0.208308i
\(353\) 15.1681 15.1681i 0.807319 0.807319i −0.176909 0.984227i \(-0.556610\pi\)
0.984227 + 0.176909i \(0.0566097\pi\)
\(354\) −3.54686 14.8382i −0.188514 0.788644i
\(355\) −1.63038 + 3.05022i −0.0865314 + 0.161889i
\(356\) −2.35212 + 19.5424i −0.124662 + 1.03574i
\(357\) −0.526736 0.432281i −0.0278778 0.0228787i
\(358\) 4.24370 16.1973i 0.224286 0.856051i
\(359\) −23.9405 + 4.76206i −1.26353 + 0.251332i −0.780991 0.624542i \(-0.785286\pi\)
−0.482540 + 0.875874i \(0.660286\pi\)
\(360\) 0.249970 + 1.15563i 0.0131746 + 0.0609072i
\(361\) −0.801682 + 4.03033i −0.0421938 + 0.212122i
\(362\) 8.78312 + 25.4094i 0.461631 + 1.33549i
\(363\) 5.27785 + 1.60102i 0.277015 + 0.0840316i
\(364\) −6.33616 + 4.03843i −0.332105 + 0.211671i
\(365\) −0.245820 + 0.201739i −0.0128668 + 0.0105595i
\(366\) −6.98673 15.1948i −0.365202 0.794246i
\(367\) 24.9908 + 10.3515i 1.30451 + 0.540346i 0.923277 0.384134i \(-0.125500\pi\)
0.381232 + 0.924479i \(0.375500\pi\)
\(368\) 12.3095 11.2890i 0.641676 0.588478i
\(369\) −7.79937 + 3.23060i −0.406019 + 0.168179i
\(370\) −2.24468 2.07907i −0.116695 0.108086i
\(371\) 0.237686 + 0.0234101i 0.0123401 + 0.00121539i
\(372\) −10.6608 11.1318i −0.552737 0.577157i
\(373\) −19.4855 + 10.4152i −1.00892 + 0.539279i −0.891125 0.453758i \(-0.850083\pi\)
−0.117796 + 0.993038i \(0.537583\pi\)
\(374\) 3.69606 + 0.221629i 0.191119 + 0.0114602i
\(375\) 3.41503 2.28185i 0.176351 0.117834i
\(376\) −15.9713 + 13.5592i −0.823656 + 0.699262i
\(377\) −5.33257 + 7.98075i −0.274641 + 0.411030i
\(378\) 0.853961 0.117258i 0.0439230 0.00603111i
\(379\) 1.83099 + 18.5904i 0.0940516 + 0.954922i 0.920194 + 0.391462i \(0.128030\pi\)
−0.826143 + 0.563461i \(0.809470\pi\)
\(380\) −1.45899 2.87746i −0.0748446 0.147610i
\(381\) 1.40623 + 4.63573i 0.0720435 + 0.237496i
\(382\) −4.43951 + 27.8520i −0.227145 + 1.42503i
\(383\) −8.20885 −0.419453 −0.209726 0.977760i \(-0.567257\pi\)
−0.209726 + 0.977760i \(0.567257\pi\)
\(384\) −8.20951 + 7.78486i −0.418940 + 0.397269i
\(385\) −0.596703 −0.0304108
\(386\) −3.52675 + 22.1256i −0.179507 + 1.12617i
\(387\) 1.68787 + 5.56418i 0.0857995 + 0.282843i
\(388\) 12.2458 6.20915i 0.621688 0.315222i
\(389\) −1.05951 10.7574i −0.0537194 0.545422i −0.983950 0.178446i \(-0.942893\pi\)
0.930230 0.366976i \(-0.119607\pi\)
\(390\) −3.61001 + 0.495695i −0.182800 + 0.0251005i
\(391\) −2.59347 + 3.88140i −0.131157 + 0.196291i
\(392\) 1.52630 18.6860i 0.0770900 0.943785i
\(393\) 7.68711 5.13636i 0.387763 0.259095i
\(394\) −1.72873 0.103661i −0.0870923 0.00522237i
\(395\) 1.87872 1.00420i 0.0945288 0.0505267i
\(396\) −3.38279 + 3.23966i −0.169992 + 0.162799i
\(397\) 20.4277 + 2.01195i 1.02524 + 0.100977i 0.596632 0.802515i \(-0.296505\pi\)
0.428605 + 0.903492i \(0.359005\pi\)
\(398\) 25.5509 + 23.6659i 1.28075 + 1.18626i
\(399\) −2.17296 + 0.900070i −0.108784 + 0.0450599i
\(400\) 17.4960 + 8.14969i 0.874802 + 0.407485i
\(401\) −21.9440 9.08949i −1.09583 0.453907i −0.239793 0.970824i \(-0.577080\pi\)
−0.856036 + 0.516917i \(0.827080\pi\)
\(402\) −4.68392 10.1866i −0.233612 0.508063i
\(403\) 36.7195 30.1349i 1.82913 1.50113i
\(404\) 9.95403 + 15.6175i 0.495232 + 0.777002i
\(405\) 0.400027 + 0.121347i 0.0198775 + 0.00602977i
\(406\) 0.438522 + 1.26864i 0.0217635 + 0.0629613i
\(407\) 2.36459 11.8876i 0.117208 0.589246i
\(408\) 1.71268 2.65810i 0.0847902 0.131596i
\(409\) −3.22902 + 0.642292i −0.159665 + 0.0317593i −0.274275 0.961651i \(-0.588438\pi\)
0.114611 + 0.993410i \(0.463438\pi\)
\(410\) 1.26488 4.82777i 0.0624680 0.238427i
\(411\) −0.448372 0.367969i −0.0221165 0.0181506i
\(412\) −11.0562 1.33072i −0.544700 0.0655600i
\(413\) 3.09955 5.79885i 0.152519 0.285343i
\(414\) −1.37286 5.74332i −0.0674722 0.282269i
\(415\) −2.34455 + 2.34455i −0.115089 + 0.115089i
\(416\) −21.9864 27.0618i −1.07797 1.32681i
\(417\) 9.51991 + 9.51991i 0.466192 + 0.466192i
\(418\) 6.68855 10.8906i 0.327147 0.532675i
\(419\) −8.07165 4.31439i −0.394326 0.210772i 0.262303 0.964986i \(-0.415518\pi\)
−0.656629 + 0.754214i \(0.728018\pi\)
\(420\) −0.249869 + 0.444115i −0.0121924 + 0.0216706i
\(421\) 14.5215 17.6944i 0.707732 0.862375i −0.287712 0.957717i \(-0.592895\pi\)
0.995445 + 0.0953425i \(0.0303946\pi\)
\(422\) 1.03308 + 1.76660i 0.0502896 + 0.0859967i
\(423\) 1.44507 + 7.26488i 0.0702619 + 0.353230i
\(424\) 0.0184793 + 1.10817i 0.000897435 + 0.0538175i
\(425\) −5.29081 1.05241i −0.256642 0.0510493i
\(426\) −5.11668 + 10.5226i −0.247904 + 0.509823i
\(427\) 2.09234 6.89752i 0.101255 0.333794i
\(428\) 3.85646 + 2.69913i 0.186409 + 0.130467i
\(429\) −9.15755 11.1585i −0.442131 0.538738i
\(430\) −3.22380 1.19294i −0.155466 0.0575287i
\(431\) 8.56771 20.6843i 0.412692 0.996327i −0.571720 0.820449i \(-0.693724\pi\)
0.984412 0.175878i \(-0.0562764\pi\)
\(432\) 0.994678 + 3.87435i 0.0478565 + 0.186405i
\(433\) −11.5356 27.8494i −0.554365 1.33836i −0.914171 0.405329i \(-0.867157\pi\)
0.359806 0.933027i \(-0.382843\pi\)
\(434\) −0.254249 6.63806i −0.0122043 0.318637i
\(435\) −0.0638055 + 0.647828i −0.00305924 + 0.0310610i
\(436\) −14.3855 + 5.59764i −0.688939 + 0.268078i
\(437\) 7.59553 + 14.2102i 0.363344 + 0.679768i
\(438\) −0.804894 + 0.713826i −0.0384593 + 0.0341079i
\(439\) 17.2069 + 25.7520i 0.821243 + 1.22908i 0.970697 + 0.240308i \(0.0772484\pi\)
−0.149454 + 0.988769i \(0.547752\pi\)
\(440\) −0.317319 2.75077i −0.0151276 0.131138i
\(441\) −5.51140 3.68260i −0.262447 0.175362i
\(442\) 7.76421 + 5.88941i 0.369306 + 0.280131i
\(443\) 12.0436 1.18619i 0.572207 0.0563575i 0.192224 0.981351i \(-0.438430\pi\)
0.379983 + 0.924994i \(0.375930\pi\)
\(444\) −7.85755 6.73785i −0.372903 0.319764i
\(445\) −3.93695 + 1.19426i −0.186629 + 0.0566134i
\(446\) −18.3766 25.3458i −0.870156 1.20016i
\(447\) 0.185771i 0.00878667i
\(448\) −4.87335 + 0.162577i −0.230244 + 0.00768102i
\(449\) 37.2145i 1.75626i −0.478421 0.878130i \(-0.658791\pi\)
0.478421 0.878130i \(-0.341209\pi\)
\(450\) 5.52464 4.00556i 0.260434 0.188824i
\(451\) 18.9193 5.73909i 0.890873 0.270243i
\(452\) −34.8507 + 2.67360i −1.63924 + 0.125756i
\(453\) 8.73636 0.860456i 0.410470 0.0404278i
\(454\) 25.0433 33.0154i 1.17534 1.54949i
\(455\) −1.30580 0.872505i −0.0612167 0.0409037i
\(456\) −5.30482 9.53858i −0.248421 0.446685i
\(457\) 3.80698 + 5.69755i 0.178083 + 0.266520i 0.909763 0.415128i \(-0.136263\pi\)
−0.731680 + 0.681649i \(0.761263\pi\)
\(458\) 26.1980 + 29.5402i 1.22415 + 1.38033i
\(459\) −0.527005 0.985958i −0.0245985 0.0460206i
\(460\) 3.19563 + 1.40532i 0.148997 + 0.0655234i
\(461\) −2.29273 + 23.2785i −0.106783 + 1.08419i 0.781191 + 0.624292i \(0.214613\pi\)
−0.887974 + 0.459894i \(0.847887\pi\)
\(462\) −2.01721 + 0.0772624i −0.0938490 + 0.00359457i
\(463\) 6.25907 + 15.1107i 0.290884 + 0.702255i 0.999996 0.00284016i \(-0.000904054\pi\)
−0.709112 + 0.705096i \(0.750904\pi\)
\(464\) −5.61514 + 2.69621i −0.260676 + 0.125168i
\(465\) 1.23285 2.97636i 0.0571720 0.138025i
\(466\) −8.43371 + 22.7913i −0.390684 + 1.05578i
\(467\) 7.35742 + 8.96504i 0.340461 + 0.414853i 0.914891 0.403701i \(-0.132276\pi\)
−0.574430 + 0.818554i \(0.694776\pi\)
\(468\) −12.1398 + 2.14317i −0.561162 + 0.0990682i
\(469\) 1.40271 4.62411i 0.0647710 0.213521i
\(470\) −3.93810 1.91492i −0.181651 0.0883286i
\(471\) −9.19870 1.82973i −0.423854 0.0843097i
\(472\) 28.3807 + 11.2050i 1.30633 + 0.515752i
\(473\) −2.65660 13.3556i −0.122151 0.614093i
\(474\) 6.22116 3.63804i 0.285747 0.167101i
\(475\) −11.8124 + 14.3934i −0.541988 + 0.660414i
\(476\) 1.31238 0.367334i 0.0601527 0.0168367i
\(477\) 0.345582 + 0.184717i 0.0158231 + 0.00845763i
\(478\) −20.7891 12.7678i −0.950869 0.583985i
\(479\) 10.3486 + 10.3486i 0.472840 + 0.472840i 0.902832 0.429993i \(-0.141484\pi\)
−0.429993 + 0.902832i \(0.641484\pi\)
\(480\) −2.18022 0.915709i −0.0995131 0.0417962i
\(481\) 22.5567 22.5567i 1.02850 1.02850i
\(482\) −35.1599 + 8.40446i −1.60149 + 0.382813i
\(483\) 1.19972 2.24452i 0.0545891 0.102129i
\(484\) −8.67603 + 6.81191i −0.394365 + 0.309632i
\(485\) 2.21836 + 1.82056i 0.100730 + 0.0826674i
\(486\) 1.36804 + 0.358427i 0.0620555 + 0.0162586i
\(487\) −16.5317 + 3.28836i −0.749124 + 0.149010i −0.554865 0.831940i \(-0.687230\pi\)
−0.194259 + 0.980950i \(0.562230\pi\)
\(488\) 32.9098 + 5.97756i 1.48976 + 0.270591i
\(489\) −0.147996 + 0.744025i −0.00669260 + 0.0336460i
\(490\) 3.70361 1.28021i 0.167312 0.0578339i
\(491\) −17.3577 5.26541i −0.783344 0.237625i −0.126816 0.991926i \(-0.540476\pi\)
−0.656528 + 0.754302i \(0.727976\pi\)
\(492\) 3.65093 16.4845i 0.164597 0.743178i
\(493\) 1.34575 1.10443i 0.0606097 0.0497411i
\(494\) 30.5612 14.0523i 1.37501 0.632244i
\(495\) −0.904471 0.374644i −0.0406530 0.0168390i
\(496\) 30.4659 4.70210i 1.36796 0.211131i
\(497\) −4.65898 + 1.92981i −0.208984 + 0.0865640i
\(498\) −7.62237 + 8.22953i −0.341567 + 0.368774i
\(499\) 15.8508 + 1.56117i 0.709578 + 0.0698874i 0.446366 0.894851i \(-0.352718\pi\)
0.263212 + 0.964738i \(0.415218\pi\)
\(500\) −0.177492 + 8.21253i −0.00793766 + 0.367275i
\(501\) −16.3457 + 8.73695i −0.730271 + 0.390338i
\(502\) 0.665198 11.0934i 0.0296892 0.495121i
\(503\) 23.7973 15.9009i 1.06107 0.708985i 0.102758 0.994706i \(-0.467233\pi\)
0.958313 + 0.285722i \(0.0922333\pi\)
\(504\) −0.787201 + 1.53372i −0.0350647 + 0.0683175i
\(505\) −2.15057 + 3.21856i −0.0956993 + 0.143224i
\(506\) 1.88128 + 13.7009i 0.0836331 + 0.609078i
\(507\) −2.44964 24.8716i −0.108792 1.10458i
\(508\) −9.20853 3.01214i −0.408562 0.133642i
\(509\) −12.3609 40.7483i −0.547886 1.80614i −0.590488 0.807046i \(-0.701065\pi\)
0.0426019 0.999092i \(-0.486435\pi\)
\(510\) 0.652679 + 0.104035i 0.0289011 + 0.00460673i
\(511\) −0.463667 −0.0205114
\(512\) −3.34105 22.3794i −0.147655 0.989039i
\(513\) −3.85885 −0.170372
\(514\) 25.9919 + 4.14302i 1.14645 + 0.182741i
\(515\) −0.675659 2.22735i −0.0297731 0.0981487i
\(516\) −11.0528 3.61541i −0.486573 0.159160i
\(517\) −1.70032 17.2637i −0.0747801 0.759255i
\(518\) −0.606860 4.41960i −0.0266639 0.194186i
\(519\) 2.43008 3.63688i 0.106669 0.159641i
\(520\) 3.32779 6.48363i 0.145933 0.284326i
\(521\) −11.3479 + 7.58242i −0.497160 + 0.332192i −0.778741 0.627346i \(-0.784141\pi\)
0.281581 + 0.959538i \(0.409141\pi\)
\(522\) −0.131818 + 2.19830i −0.00576952 + 0.0962171i
\(523\) −9.96630 + 5.32710i −0.435796 + 0.232938i −0.674680 0.738110i \(-0.735718\pi\)
0.238884 + 0.971048i \(0.423218\pi\)
\(524\) −0.399527 + 18.4861i −0.0174534 + 0.807569i
\(525\) 2.92687 + 0.288271i 0.127739 + 0.0125812i
\(526\) 1.69846 1.83375i 0.0740565 0.0799554i
\(527\) −7.95993 + 3.29711i −0.346740 + 0.143624i
\(528\) −1.42890 9.25813i −0.0621848 0.402908i
\(529\) 5.14117 + 2.12954i 0.223529 + 0.0925888i
\(530\) −0.210471 + 0.0967768i −0.00914228 + 0.00420371i
\(531\) 8.33909 6.84372i 0.361886 0.296992i
\(532\) 1.01718 4.59270i 0.0441002 0.199119i
\(533\) 49.7937 + 15.1048i 2.15681 + 0.654260i
\(534\) −13.1546 + 4.54707i −0.569254 + 0.196771i
\(535\) −0.191943 + 0.964961i −0.00829841 + 0.0417189i
\(536\) 22.0628 + 4.00736i 0.952968 + 0.173092i
\(537\) 11.6123 2.30982i 0.501106 0.0996762i
\(538\) −17.2064 4.50809i −0.741821 0.194358i
\(539\) 11.9998 + 9.84802i 0.516870 + 0.424184i
\(540\) −0.657588 + 0.516299i −0.0282981 + 0.0222180i
\(541\) −13.9503 + 26.0993i −0.599772 + 1.12209i 0.380563 + 0.924755i \(0.375730\pi\)
−0.980335 + 0.197340i \(0.936770\pi\)
\(542\) −6.66718 + 1.59369i −0.286380 + 0.0684548i
\(543\) −13.4423 + 13.4423i −0.576864 + 0.576864i
\(544\) 2.39129 + 5.85464i 0.102526 + 0.251016i
\(545\) −2.28139 2.28139i −0.0977238 0.0977238i
\(546\) −4.52733 2.78050i −0.193752 0.118995i
\(547\) −34.4733 18.4263i −1.47397 0.787854i −0.478071 0.878321i \(-0.658664\pi\)
−0.995899 + 0.0904677i \(0.971164\pi\)
\(548\) 1.11713 0.312684i 0.0477215 0.0133572i
\(549\) 7.50218 9.14143i 0.320185 0.390147i
\(550\) −13.7955 + 8.06742i −0.588243 + 0.343996i
\(551\) −1.17232 5.89364i −0.0499424 0.251078i
\(552\) 10.9851 + 4.33703i 0.467556 + 0.184596i
\(553\) 3.04636 + 0.605959i 0.129544 + 0.0257680i
\(554\) 11.4324 + 5.55907i 0.485718 + 0.236182i
\(555\) 0.628020 2.07031i 0.0266580 0.0878796i
\(556\) −26.5163 + 4.68122i −1.12454 + 0.198528i
\(557\) 23.9379 + 29.1684i 1.01428 + 1.23591i 0.971554 + 0.236819i \(0.0761047\pi\)
0.0427275 + 0.999087i \(0.486395\pi\)
\(558\) 3.78237 10.2215i 0.160120 0.432710i
\(559\) 13.7152 33.1113i 0.580090 1.40046i
\(560\) −0.441148 0.918739i −0.0186419 0.0388238i
\(561\) 1.00194 + 2.41891i 0.0423021 + 0.102126i
\(562\) 6.81450 0.261007i 0.287452 0.0110099i
\(563\) −4.30399 + 43.6992i −0.181392 + 1.84170i 0.286699 + 0.958021i \(0.407442\pi\)
−0.468091 + 0.883680i \(0.655058\pi\)
\(564\) −13.5610 5.96364i −0.571023 0.251114i
\(565\) −3.44387 6.44303i −0.144885 0.271060i
\(566\) 17.0362 + 19.2097i 0.716087 + 0.807443i
\(567\) 0.338624 + 0.506787i 0.0142209 + 0.0212831i
\(568\) −11.3739 20.4514i −0.477239 0.858121i
\(569\) −32.6635 21.8250i −1.36932 0.914953i −0.369427 0.929260i \(-0.620446\pi\)
−0.999898 + 0.0143066i \(0.995446\pi\)
\(570\) 1.37867 1.81755i 0.0577461 0.0761286i
\(571\) 11.5810 1.14063i 0.484651 0.0477340i 0.147259 0.989098i \(-0.452955\pi\)
0.337393 + 0.941364i \(0.390455\pi\)
\(572\) 28.7857 2.20832i 1.20359 0.0923343i
\(573\) −19.0842 + 5.78913i −0.797255 + 0.241845i
\(574\) 5.89124 4.27136i 0.245896 0.178283i
\(575\) 20.1481i 0.840234i
\(576\) −7.48900 2.81333i −0.312042 0.117222i
\(577\) 28.8153i 1.19960i 0.800151 + 0.599799i \(0.204753\pi\)
−0.800151 + 0.599799i \(0.795247\pi\)
\(578\) 13.0746 + 18.0330i 0.543831 + 0.750075i
\(579\) −15.1605 + 4.59889i −0.630050 + 0.191123i
\(580\) −0.988321 0.847486i −0.0410378 0.0351899i
\(581\) −4.81119 + 0.473861i −0.199602 + 0.0196591i
\(582\) 7.73509 + 5.86733i 0.320630 + 0.243208i
\(583\) −0.763032 0.509842i −0.0316016 0.0211155i
\(584\) −0.246572 2.13748i −0.0102032 0.0884494i
\(585\) −1.43149 2.14238i −0.0591849 0.0885765i
\(586\) −17.0095 + 15.0850i −0.702655 + 0.623155i
\(587\) −18.4032 34.4300i −0.759582 1.42108i −0.902208 0.431301i \(-0.858055\pi\)
0.142626 0.989777i \(-0.454445\pi\)
\(588\) 12.3546 4.80741i 0.509496 0.198254i
\(589\) −2.91491 + 29.5956i −0.120107 + 1.21947i
\(590\) 0.244091 + 6.37286i 0.0100491 + 0.262367i
\(591\) −0.468632 1.13138i −0.0192770 0.0465387i
\(592\) 20.0514 5.14787i 0.824107 0.211576i
\(593\) −16.3369 + 39.4407i −0.670875 + 1.61964i 0.109251 + 0.994014i \(0.465155\pi\)
−0.780126 + 0.625622i \(0.784845\pi\)
\(594\) −3.10616 1.14941i −0.127447 0.0471607i
\(595\) 0.180705 + 0.220190i 0.00740819 + 0.00902690i
\(596\) −0.304394 0.213045i −0.0124685 0.00872665i
\(597\) −7.14868 + 23.5660i −0.292576 + 0.964494i
\(598\) −15.9166 + 32.7331i −0.650879 + 1.33856i
\(599\) −10.9243 2.17298i −0.446355 0.0887856i −0.0332053 0.999449i \(-0.510572\pi\)
−0.413150 + 0.910663i \(0.635572\pi\)
\(600\) 0.227554 + 13.6460i 0.00928985 + 0.557095i
\(601\) 0.792285 + 3.98309i 0.0323180 + 0.162473i 0.993574 0.113183i \(-0.0361047\pi\)
−0.961256 + 0.275657i \(0.911105\pi\)
\(602\) −2.53008 4.32651i −0.103118 0.176336i
\(603\) 5.02947 6.12843i 0.204816 0.249569i
\(604\) −8.60907 + 15.3017i −0.350298 + 0.622616i
\(605\) −2.03332 1.08683i −0.0826663 0.0441860i
\(606\) −6.85346 + 11.1591i −0.278403 + 0.453307i
\(607\) 0.665676 + 0.665676i 0.0270190 + 0.0270190i 0.720487 0.693468i \(-0.243918\pi\)
−0.693468 + 0.720487i \(0.743918\pi\)
\(608\) 21.7130 + 2.24679i 0.880579 + 0.0911194i
\(609\) −0.671144 + 0.671144i −0.0271961 + 0.0271961i
\(610\) 1.62534 + 6.79959i 0.0658081 + 0.275307i
\(611\) 21.5222 40.2652i 0.870695 1.62895i
\(612\) 2.21991 + 0.267188i 0.0897345 + 0.0108004i
\(613\) −2.67832 2.19804i −0.108176 0.0887780i 0.578750 0.815505i \(-0.303541\pi\)
−0.686927 + 0.726727i \(0.741041\pi\)
\(614\) 6.20521 23.6839i 0.250422 0.955805i
\(615\) 3.46117 0.688469i 0.139568 0.0277617i
\(616\) 2.18676 3.39389i 0.0881072 0.136744i
\(617\) 6.45664 32.4597i 0.259934 1.30678i −0.601485 0.798884i \(-0.705424\pi\)
0.861419 0.507895i \(-0.169576\pi\)
\(618\) −2.57253 7.44226i −0.103482 0.299372i
\(619\) 44.3891 + 13.4653i 1.78415 + 0.541215i 0.997130 0.0757144i \(-0.0241237\pi\)
0.787018 + 0.616930i \(0.211624\pi\)
\(620\) 3.46304 + 5.43340i 0.139079 + 0.218211i
\(621\) 3.22775 2.64894i 0.129525 0.106298i
\(622\) −9.63550 20.9554i −0.386348 0.840235i
\(623\) −5.54198 2.29556i −0.222035 0.0919698i
\(624\) 10.4104 22.3494i 0.416749 0.894691i
\(625\) 20.7035 8.57568i 0.828141 0.343027i
\(626\) 2.19899 + 2.03675i 0.0878893 + 0.0814050i
\(627\) 8.99366 + 0.885798i 0.359172 + 0.0353754i
\(628\) 13.5473 12.9741i 0.540595 0.517723i
\(629\) −5.10274 + 2.72747i −0.203460 + 0.108751i
\(630\) −0.359682 0.0215678i −0.0143301 0.000859283i
\(631\) −30.2892 + 20.2386i −1.20579 + 0.805686i −0.985488 0.169744i \(-0.945706\pi\)
−0.220307 + 0.975431i \(0.570706\pi\)
\(632\) −1.17342 + 14.3658i −0.0466762 + 0.571440i
\(633\) −0.803959 + 1.20321i −0.0319545 + 0.0478233i
\(634\) 44.6068 6.12501i 1.77156 0.243255i
\(635\) −0.198491 2.01531i −0.00787686 0.0799751i
\(636\) −0.698985 + 0.354415i −0.0277166 + 0.0140535i
\(637\) 11.8600 + 39.0972i 0.469911 + 1.54909i
\(638\) 0.811843 5.09324i 0.0321412 0.201643i
\(639\) −8.27364 −0.327300
\(640\) 4.00073 2.52224i 0.158143 0.0997003i
\(641\) −41.6297 −1.64428 −0.822138 0.569289i \(-0.807219\pi\)
−0.822138 + 0.569289i \(0.807219\pi\)
\(642\) −0.523934 + 3.28699i −0.0206780 + 0.129727i
\(643\) −10.3052 33.9716i −0.406396 1.33971i −0.886594 0.462548i \(-0.846935\pi\)
0.480198 0.877160i \(-0.340565\pi\)
\(644\) 2.30188 + 4.53983i 0.0907069 + 0.178894i
\(645\) −0.238244 2.41893i −0.00938086 0.0952454i
\(646\) −6.04429 + 0.829947i −0.237809 + 0.0326538i
\(647\) 5.57193 8.33898i 0.219055 0.327839i −0.705624 0.708586i \(-0.749333\pi\)
0.924679 + 0.380747i \(0.124333\pi\)
\(648\) −2.15618 + 1.83054i −0.0847028 + 0.0719104i
\(649\) −21.0066 + 14.0361i −0.824579 + 0.550966i
\(650\) −41.9857 2.51761i −1.64681 0.0987489i
\(651\) 4.14261 2.21427i 0.162362 0.0867842i
\(652\) −1.04939 1.09575i −0.0410974 0.0429130i
\(653\) 34.8828 + 3.43566i 1.36507 + 0.134448i 0.753868 0.657026i \(-0.228186\pi\)
0.611203 + 0.791474i \(0.290686\pi\)
\(654\) −8.00782 7.41703i −0.313131 0.290029i
\(655\) −3.57056 + 1.47897i −0.139513 + 0.0577883i
\(656\) 22.8236 + 24.8868i 0.891112 + 0.971668i
\(657\) −0.702817 0.291116i −0.0274195 0.0113575i
\(658\) −2.66734 5.80096i −0.103984 0.226145i
\(659\) −29.2206 + 23.9807i −1.13827 + 0.934156i −0.998430 0.0560181i \(-0.982160\pi\)
−0.139842 + 0.990174i \(0.544660\pi\)
\(660\) 1.65113 1.05237i 0.0642701 0.0409634i
\(661\) 15.4591 + 4.68946i 0.601288 + 0.182399i 0.576231 0.817287i \(-0.304523\pi\)
0.0250577 + 0.999686i \(0.492023\pi\)
\(662\) 1.93449 + 5.59643i 0.0751860 + 0.217511i
\(663\) −1.34434 + 6.75846i −0.0522099 + 0.262477i
\(664\) −4.74300 21.9273i −0.184064 0.850945i
\(665\) 0.964307 0.191813i 0.0373942 0.00743817i
\(666\) 1.85501 7.08017i 0.0718802 0.274351i
\(667\) 5.02633 + 4.12500i 0.194620 + 0.159721i
\(668\) 4.42957 36.8027i 0.171385 1.42394i
\(669\) 10.4354 19.5232i 0.403455 0.754811i
\(670\) 1.08963 + 4.55845i 0.0420961 + 0.176108i
\(671\) −19.5834 + 19.5834i −0.756011 + 0.756011i
\(672\) −1.61030 3.04876i −0.0621187 0.117608i
\(673\) 0.465720 + 0.465720i 0.0179522 + 0.0179522i 0.716026 0.698074i \(-0.245959\pi\)
−0.698074 + 0.716026i \(0.745959\pi\)
\(674\) 20.7578 33.7988i 0.799562 1.30188i
\(675\) 4.25549 + 2.27461i 0.163794 + 0.0875497i
\(676\) 43.5624 + 24.5092i 1.67548 + 0.942661i
\(677\) −5.39942 + 6.57921i −0.207517 + 0.252860i −0.866360 0.499421i \(-0.833546\pi\)
0.658843 + 0.752280i \(0.271046\pi\)
\(678\) −12.4766 21.3353i −0.479160 0.819378i
\(679\) 0.816313 + 4.10388i 0.0313272 + 0.157493i
\(680\) −0.918966 + 0.950134i −0.0352407 + 0.0364360i
\(681\) 28.7387 + 5.71648i 1.10127 + 0.219056i
\(682\) −11.1617 + 22.9545i −0.427405 + 0.878975i
\(683\) 6.67581 22.0072i 0.255443 0.842082i −0.731615 0.681718i \(-0.761233\pi\)
0.987058 0.160364i \(-0.0512668\pi\)
\(684\) 4.42538 6.32289i 0.169209 0.241762i
\(685\) 0.153821 + 0.187432i 0.00587720 + 0.00716139i
\(686\) 11.0173 + 4.07685i 0.420642 + 0.155655i
\(687\) −10.6842 + 25.7940i −0.407628 + 0.984101i
\(688\) 18.5995 13.9643i 0.709100 0.532384i
\(689\) −0.924287 2.23143i −0.0352125 0.0850105i
\(690\) 0.0944784 + 2.46669i 0.00359673 + 0.0939054i
\(691\) 1.47751 15.0014i 0.0562072 0.570681i −0.925297 0.379242i \(-0.876185\pi\)
0.981505 0.191439i \(-0.0613154\pi\)
\(692\) 3.17233 + 8.15261i 0.120594 + 0.309916i
\(693\) −0.672885 1.25888i −0.0255608 0.0478209i
\(694\) 23.9350 21.2269i 0.908559 0.805762i
\(695\) −3.12674 4.67949i −0.118604 0.177503i
\(696\) −3.45084 2.73703i −0.130804 0.103747i
\(697\) −7.84728 5.24338i −0.297237 0.198607i
\(698\) −21.8701 16.5892i −0.827794 0.627910i
\(699\) −17.1011 + 1.68431i −0.646823 + 0.0637065i
\(700\) −3.82891 + 4.46520i −0.144719 + 0.168769i
\(701\) 12.3883 3.75795i 0.467900 0.141936i −0.0475260 0.998870i \(-0.515134\pi\)
0.515426 + 0.856934i \(0.327634\pi\)
\(702\) −5.11668 7.05715i −0.193117 0.266355i
\(703\) 19.9711i 0.753226i
\(704\) 16.8085 + 8.27603i 0.633495 + 0.311914i
\(705\) 3.09641i 0.116618i
\(706\) −24.5602 + 17.8070i −0.924334 + 0.670175i
\(707\) −5.40101 + 1.63838i −0.203126 + 0.0616176i
\(708\) 1.65034 + 21.5124i 0.0620237 + 0.808486i
\(709\) −6.56230 + 0.646331i −0.246453 + 0.0242735i −0.220489 0.975389i \(-0.570765\pi\)
−0.0259634 + 0.999663i \(0.508265\pi\)
\(710\) 2.95597 3.89695i 0.110935 0.146250i
\(711\) 4.23716 + 2.83118i 0.158906 + 0.106178i
\(712\) 7.63526 26.7689i 0.286143 1.00321i
\(713\) −17.8780 26.7563i −0.669536 1.00203i
\(714\) 0.639400 + 0.720973i 0.0239289 + 0.0269817i
\(715\) 2.84454 + 5.32176i 0.106380 + 0.199022i
\(716\) −9.53235 + 21.6761i −0.356241 + 0.810075i
\(717\) 1.69090 17.1680i 0.0631480 0.641152i
\(718\) 34.4950 1.32121i 1.28734 0.0493073i
\(719\) 5.85763 + 14.1416i 0.218453 + 0.527391i 0.994674 0.103069i \(-0.0328662\pi\)
−0.776222 + 0.630460i \(0.782866\pi\)
\(720\) −0.0918477 1.66958i −0.00342296 0.0622217i
\(721\) 1.29873 3.13540i 0.0483671 0.116769i
\(722\) 2.01681 5.45022i 0.0750578 0.202836i
\(723\) −16.2165 19.7599i −0.603099 0.734878i
\(724\) −6.60997 37.4415i −0.245658 1.39150i
\(725\) −2.18120 + 7.19046i −0.0810079 + 0.267047i
\(726\) −7.01455 3.41086i −0.260334 0.126589i
\(727\) −1.68224 0.334618i −0.0623907 0.0124103i 0.163796 0.986494i \(-0.447626\pi\)
−0.226187 + 0.974084i \(0.572626\pi\)
\(728\) 9.74797 4.22951i 0.361284 0.156756i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 0.388217 0.227023i 0.0143685 0.00840251i
\(731\) −4.12385 + 5.02493i −0.152526 + 0.185854i
\(732\) 6.37503 + 22.7762i 0.235628 + 0.841831i
\(733\) 4.18935 + 2.23925i 0.154737 + 0.0827087i 0.546948 0.837167i \(-0.315790\pi\)
−0.392211 + 0.919875i \(0.628290\pi\)
\(734\) −32.5974 20.0200i −1.20319 0.738951i
\(735\) 1.95932 + 1.95932i 0.0722705 + 0.0722705i
\(736\) −19.7042 + 13.0258i −0.726308 + 0.480136i
\(737\) −13.1288 + 13.1288i −0.483604 + 0.483604i
\(738\) 11.6116 2.77559i 0.427430 0.102171i
\(739\) 0.0881916 0.164995i 0.00324418 0.00606943i −0.880294 0.474429i \(-0.842655\pi\)
0.883538 + 0.468359i \(0.155155\pi\)
\(740\) 2.67206 + 3.40329i 0.0982269 + 0.125107i
\(741\) 18.3861 + 15.0891i 0.675429 + 0.554310i
\(742\) −0.326737 0.0856055i −0.0119949 0.00314268i
\(743\) −3.36663 + 0.669664i −0.123510 + 0.0245676i −0.256458 0.966555i \(-0.582556\pi\)
0.132948 + 0.991123i \(0.457556\pi\)
\(744\) 12.4107 + 17.9197i 0.454997 + 0.656967i
\(745\) 0.0151502 0.0761652i 0.000555060 0.00279048i
\(746\) 29.5317 10.2080i 1.08123 0.373743i
\(747\) −7.59022 2.30247i −0.277712 0.0842430i
\(748\) −5.11252 1.13230i −0.186932 0.0414012i
\(749\) −1.10891 + 0.910058i −0.0405187 + 0.0332528i
\(750\) −5.27734 + 2.42657i −0.192701 + 0.0886059i
\(751\) 18.9917 + 7.86662i 0.693017 + 0.287057i 0.701257 0.712909i \(-0.252623\pi\)
−0.00823932 + 0.999966i \(0.502623\pi\)
\(752\) 25.3236 15.3812i 0.923458 0.560893i
\(753\) 7.26011 3.00724i 0.264573 0.109590i
\(754\) 9.22397 9.95870i 0.335917 0.362674i
\(755\) −3.65203 0.359694i −0.132911 0.0130906i
\(756\) −1.21873 0.0263396i −0.0443248 0.000957960i
\(757\) −33.6124 + 17.9662i −1.22166 + 0.652993i −0.950854 0.309640i \(-0.899792\pi\)
−0.270810 + 0.962633i \(0.587292\pi\)
\(758\) 1.58127 26.3706i 0.0574344 0.957822i
\(759\) −8.13084 + 5.43285i −0.295131 + 0.197200i
\(760\) 1.39705 + 4.34339i 0.0506763 + 0.157551i
\(761\) −4.42430 + 6.62143i −0.160381 + 0.240027i −0.902953 0.429739i \(-0.858606\pi\)
0.742572 + 0.669766i \(0.233606\pi\)
\(762\) −0.931961 6.78723i −0.0337614 0.245875i
\(763\) −0.461095 4.68158i −0.0166928 0.169484i
\(764\) 12.4003 37.9093i 0.448626 1.37151i
\(765\) 0.135662 + 0.447216i 0.00490486 + 0.0161691i
\(766\) 11.4643 + 1.82738i 0.414224 + 0.0660258i
\(767\) −66.4935 −2.40094
\(768\) 13.1982 9.04468i 0.476251 0.326372i
\(769\) −3.28408 −0.118427 −0.0592135 0.998245i \(-0.518859\pi\)
−0.0592135 + 0.998245i \(0.518859\pi\)
\(770\) 0.833346 + 0.132832i 0.0300317 + 0.00478694i
\(771\) 5.40251 + 17.8097i 0.194567 + 0.641401i
\(772\) 9.85079 30.1152i 0.354538 1.08387i
\(773\) 4.33592 + 44.0233i 0.155952