Properties

Label 546.2.ch.a.305.25
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 305.25
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.24738 - 1.20169i) q^{3} +1.00000i q^{4} +(0.505894 - 1.88802i) q^{5} +(-0.0323060 - 1.73175i) q^{6} +(-2.61407 + 0.408204i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.111892 + 2.99791i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.24738 - 1.20169i) q^{3} +1.00000i q^{4} +(0.505894 - 1.88802i) q^{5} +(-0.0323060 - 1.73175i) q^{6} +(-2.61407 + 0.408204i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.111892 + 2.99791i) q^{9} +(1.69275 - 0.977313i) q^{10} +(-3.42642 - 0.918106i) q^{11} +(1.20169 - 1.24738i) q^{12} +(-1.12860 - 3.42436i) q^{13} +(-2.13707 - 1.55978i) q^{14} +(-2.89985 + 1.74715i) q^{15} -1.00000 q^{16} -2.53611 q^{17} +(-2.04072 + 2.19896i) q^{18} +(1.58408 + 5.91185i) q^{19} +(1.88802 + 0.505894i) q^{20} +(3.75126 + 2.63212i) q^{21} +(-1.77364 - 3.07204i) q^{22} -6.64429 q^{23} +(1.73175 - 0.0323060i) q^{24} +(1.02143 + 0.589721i) q^{25} +(1.62335 - 3.21943i) q^{26} +(3.46298 - 3.87398i) q^{27} +(-0.408204 - 2.61407i) q^{28} +(-7.81199 - 4.51025i) q^{29} +(-3.28593 - 0.815088i) q^{30} +(-0.215339 - 0.803657i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(3.17075 + 5.26271i) q^{33} +(-1.79330 - 1.79330i) q^{34} +(-0.551746 + 5.14193i) q^{35} +(-2.99791 + 0.111892i) q^{36} +(-3.90449 - 3.90449i) q^{37} +(-3.06020 + 5.30042i) q^{38} +(-2.70722 + 5.62769i) q^{39} +(0.977313 + 1.69275i) q^{40} +(6.19829 - 1.66083i) q^{41} +(0.791357 + 4.51373i) q^{42} +(-4.42594 + 2.55532i) q^{43} +(0.918106 - 3.42642i) q^{44} +(5.71673 + 1.30537i) q^{45} +(-4.69822 - 4.69822i) q^{46} +(-11.1371 - 2.98417i) q^{47} +(1.24738 + 1.20169i) q^{48} +(6.66674 - 2.13415i) q^{49} +(0.305262 + 1.13925i) q^{50} +(3.16348 + 3.04761i) q^{51} +(3.42436 - 1.12860i) q^{52} +(4.87278 + 2.81330i) q^{53} +(5.18802 - 0.290619i) q^{54} +(-3.46681 + 6.00469i) q^{55} +(1.55978 - 2.13707i) q^{56} +(5.12826 - 9.27786i) q^{57} +(-2.33468 - 8.71314i) q^{58} +(7.16184 - 7.16184i) q^{59} +(-1.74715 - 2.89985i) q^{60} +(5.60901 - 9.71509i) q^{61} +(0.416003 - 0.720539i) q^{62} +(-1.51625 - 7.79108i) q^{63} -1.00000i q^{64} +(-7.03623 + 0.398463i) q^{65} +(-1.47924 + 5.96336i) q^{66} +(11.5062 + 3.08307i) q^{67} -2.53611i q^{68} +(8.28793 + 7.98437i) q^{69} +(-4.02604 + 3.24575i) q^{70} +(1.52491 - 5.69106i) q^{71} +(-2.19896 - 2.04072i) q^{72} +(-10.3618 + 2.77643i) q^{73} -5.52178i q^{74} +(-0.565442 - 1.96304i) q^{75} +(-5.91185 + 1.58408i) q^{76} +(9.33168 + 1.00132i) q^{77} +(-5.89368 + 2.06509i) q^{78} +(5.90403 + 10.2261i) q^{79} +(-0.505894 + 1.88802i) q^{80} +(-8.97496 + 0.670883i) q^{81} +(5.55723 + 3.20847i) q^{82} +(0.859699 + 0.859699i) q^{83} +(-2.63212 + 3.75126i) q^{84} +(-1.28300 + 4.78824i) q^{85} +(-4.93650 - 1.32273i) q^{86} +(4.32457 + 15.0136i) q^{87} +(3.07204 - 1.77364i) q^{88} +(1.99327 - 1.99327i) q^{89} +(3.11930 + 4.96538i) q^{90} +(4.34809 + 8.49083i) q^{91} -6.64429i q^{92} +(-0.697136 + 1.26123i) q^{93} +(-5.76497 - 9.98523i) q^{94} +11.9631 q^{95} +(0.0323060 + 1.73175i) q^{96} +(6.95381 + 1.86327i) q^{97} +(6.22317 + 3.20503i) q^{98} +(2.36901 - 10.3748i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −1.24738 1.20169i −0.720173 0.693795i
\(4\) 1.00000i 0.500000i
\(5\) 0.505894 1.88802i 0.226243 0.844349i −0.755660 0.654964i \(-0.772684\pi\)
0.981903 0.189385i \(-0.0606496\pi\)
\(6\) −0.0323060 1.73175i −0.0131889 0.706984i
\(7\) −2.61407 + 0.408204i −0.988026 + 0.154286i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.111892 + 2.99791i 0.0372973 + 0.999304i
\(10\) 1.69275 0.977313i 0.535296 0.309053i
\(11\) −3.42642 0.918106i −1.03310 0.276819i −0.297851 0.954612i \(-0.596270\pi\)
−0.735253 + 0.677793i \(0.762937\pi\)
\(12\) 1.20169 1.24738i 0.346897 0.360086i
\(13\) −1.12860 3.42436i −0.313018 0.949747i
\(14\) −2.13707 1.55978i −0.571156 0.416870i
\(15\) −2.89985 + 1.74715i −0.748739 + 0.451111i
\(16\) −1.00000 −0.250000
\(17\) −2.53611 −0.615097 −0.307549 0.951532i \(-0.599509\pi\)
−0.307549 + 0.951532i \(0.599509\pi\)
\(18\) −2.04072 + 2.19896i −0.481003 + 0.518301i
\(19\) 1.58408 + 5.91185i 0.363412 + 1.35627i 0.869561 + 0.493825i \(0.164402\pi\)
−0.506149 + 0.862446i \(0.668932\pi\)
\(20\) 1.88802 + 0.505894i 0.422175 + 0.113121i
\(21\) 3.75126 + 2.63212i 0.818593 + 0.574375i
\(22\) −1.77364 3.07204i −0.378142 0.654962i
\(23\) −6.64429 −1.38543 −0.692715 0.721211i \(-0.743586\pi\)
−0.692715 + 0.721211i \(0.743586\pi\)
\(24\) 1.73175 0.0323060i 0.353492 0.00659443i
\(25\) 1.02143 + 0.589721i 0.204285 + 0.117944i
\(26\) 1.62335 3.21943i 0.318364 0.631383i
\(27\) 3.46298 3.87398i 0.666452 0.745548i
\(28\) −0.408204 2.61407i −0.0771432 0.494013i
\(29\) −7.81199 4.51025i −1.45065 0.837533i −0.452132 0.891951i \(-0.649336\pi\)
−0.998518 + 0.0544178i \(0.982670\pi\)
\(30\) −3.28593 0.815088i −0.599925 0.148814i
\(31\) −0.215339 0.803657i −0.0386761 0.144341i 0.943888 0.330266i \(-0.107138\pi\)
−0.982564 + 0.185925i \(0.940472\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 3.17075 + 5.26271i 0.551957 + 0.916120i
\(34\) −1.79330 1.79330i −0.307549 0.307549i
\(35\) −0.551746 + 5.14193i −0.0932621 + 0.869146i
\(36\) −2.99791 + 0.111892i −0.499652 + 0.0186486i
\(37\) −3.90449 3.90449i −0.641894 0.641894i 0.309127 0.951021i \(-0.399963\pi\)
−0.951021 + 0.309127i \(0.899963\pi\)
\(38\) −3.06020 + 5.30042i −0.496430 + 0.859841i
\(39\) −2.70722 + 5.62769i −0.433503 + 0.901152i
\(40\) 0.977313 + 1.69275i 0.154527 + 0.267648i
\(41\) 6.19829 1.66083i 0.968010 0.259377i 0.260023 0.965603i \(-0.416270\pi\)
0.707987 + 0.706225i \(0.249603\pi\)
\(42\) 0.791357 + 4.51373i 0.122109 + 0.696484i
\(43\) −4.42594 + 2.55532i −0.674950 + 0.389682i −0.797950 0.602724i \(-0.794082\pi\)
0.123000 + 0.992407i \(0.460749\pi\)
\(44\) 0.918106 3.42642i 0.138410 0.516552i
\(45\) 5.71673 + 1.30537i 0.852200 + 0.194593i
\(46\) −4.69822 4.69822i −0.692715 0.692715i
\(47\) −11.1371 2.98417i −1.62451 0.435286i −0.672187 0.740381i \(-0.734645\pi\)
−0.952322 + 0.305095i \(0.901312\pi\)
\(48\) 1.24738 + 1.20169i 0.180043 + 0.173449i
\(49\) 6.66674 2.13415i 0.952391 0.304878i
\(50\) 0.305262 + 1.13925i 0.0431705 + 0.161115i
\(51\) 3.16348 + 3.04761i 0.442976 + 0.426751i
\(52\) 3.42436 1.12860i 0.474874 0.156509i
\(53\) 4.87278 + 2.81330i 0.669328 + 0.386437i 0.795822 0.605531i \(-0.207039\pi\)
−0.126494 + 0.991967i \(0.540372\pi\)
\(54\) 5.18802 0.290619i 0.706000 0.0395482i
\(55\) −3.46681 + 6.00469i −0.467465 + 0.809672i
\(56\) 1.55978 2.13707i 0.208435 0.285578i
\(57\) 5.12826 9.27786i 0.679255 1.22888i
\(58\) −2.33468 8.71314i −0.306558 1.14409i
\(59\) 7.16184 7.16184i 0.932392 0.932392i −0.0654632 0.997855i \(-0.520852\pi\)
0.997855 + 0.0654632i \(0.0208525\pi\)
\(60\) −1.74715 2.89985i −0.225556 0.374370i
\(61\) 5.60901 9.71509i 0.718160 1.24389i −0.243568 0.969884i \(-0.578318\pi\)
0.961728 0.274006i \(-0.0883488\pi\)
\(62\) 0.416003 0.720539i 0.0528325 0.0915085i
\(63\) −1.51625 7.79108i −0.191030 0.981584i
\(64\) 1.00000i 0.125000i
\(65\) −7.03623 + 0.398463i −0.872737 + 0.0494233i
\(66\) −1.47924 + 5.96336i −0.182081 + 0.734039i
\(67\) 11.5062 + 3.08307i 1.40570 + 0.376657i 0.880389 0.474252i \(-0.157282\pi\)
0.525313 + 0.850909i \(0.323948\pi\)
\(68\) 2.53611i 0.307549i
\(69\) 8.28793 + 7.98437i 0.997749 + 0.961205i
\(70\) −4.02604 + 3.24575i −0.481204 + 0.387942i
\(71\) 1.52491 5.69106i 0.180974 0.675404i −0.814483 0.580188i \(-0.802979\pi\)
0.995457 0.0952161i \(-0.0303542\pi\)
\(72\) −2.19896 2.04072i −0.259150 0.240502i
\(73\) −10.3618 + 2.77643i −1.21275 + 0.324957i −0.807842 0.589399i \(-0.799365\pi\)
−0.404913 + 0.914355i \(0.632698\pi\)
\(74\) 5.52178i 0.641894i
\(75\) −0.565442 1.96304i −0.0652916 0.226672i
\(76\) −5.91185 + 1.58408i −0.678136 + 0.181706i
\(77\) 9.33168 + 1.00132i 1.06344 + 0.114111i
\(78\) −5.89368 + 2.06509i −0.667327 + 0.233825i
\(79\) 5.90403 + 10.2261i 0.664255 + 1.15052i 0.979487 + 0.201509i \(0.0645845\pi\)
−0.315232 + 0.949015i \(0.602082\pi\)
\(80\) −0.505894 + 1.88802i −0.0565607 + 0.211087i
\(81\) −8.97496 + 0.670883i −0.997218 + 0.0745426i
\(82\) 5.55723 + 3.20847i 0.613694 + 0.354316i
\(83\) 0.859699 + 0.859699i 0.0943642 + 0.0943642i 0.752713 0.658349i \(-0.228745\pi\)
−0.658349 + 0.752713i \(0.728745\pi\)
\(84\) −2.63212 + 3.75126i −0.287187 + 0.409296i
\(85\) −1.28300 + 4.78824i −0.139161 + 0.519357i
\(86\) −4.93650 1.32273i −0.532316 0.142634i
\(87\) 4.32457 + 15.0136i 0.463642 + 1.60962i
\(88\) 3.07204 1.77364i 0.327481 0.189071i
\(89\) 1.99327 1.99327i 0.211286 0.211286i −0.593528 0.804814i \(-0.702265\pi\)
0.804814 + 0.593528i \(0.202265\pi\)
\(90\) 3.11930 + 4.96538i 0.328803 + 0.523397i
\(91\) 4.34809 + 8.49083i 0.455803 + 0.890081i
\(92\) 6.64429i 0.692715i
\(93\) −0.697136 + 1.26123i −0.0722896 + 0.130784i
\(94\) −5.76497 9.98523i −0.594612 1.02990i
\(95\) 11.9631 1.22739
\(96\) 0.0323060 + 1.73175i 0.00329722 + 0.176746i
\(97\) 6.95381 + 1.86327i 0.706052 + 0.189186i 0.593940 0.804509i \(-0.297572\pi\)
0.112112 + 0.993696i \(0.464238\pi\)
\(98\) 6.22317 + 3.20503i 0.628635 + 0.323757i
\(99\) 2.36901 10.3748i 0.238095 1.04271i
\(100\) −0.589721 + 1.02143i −0.0589721 + 0.102143i
\(101\) 2.71777 + 4.70732i 0.270429 + 0.468396i 0.968972 0.247172i \(-0.0795012\pi\)
−0.698543 + 0.715568i \(0.746168\pi\)
\(102\) 0.0819316 + 4.39191i 0.00811244 + 0.434864i
\(103\) −10.5376 + 6.08387i −1.03830 + 0.599461i −0.919350 0.393440i \(-0.871285\pi\)
−0.118947 + 0.992901i \(0.537952\pi\)
\(104\) 3.21943 + 1.62335i 0.315691 + 0.159182i
\(105\) 6.86724 5.75090i 0.670174 0.561230i
\(106\) 1.45627 + 5.43488i 0.141446 + 0.527882i
\(107\) 7.08782i 0.685205i −0.939480 0.342602i \(-0.888692\pi\)
0.939480 0.342602i \(-0.111308\pi\)
\(108\) 3.87398 + 3.46298i 0.372774 + 0.333226i
\(109\) 2.13828 + 7.98018i 0.204810 + 0.764362i 0.989507 + 0.144483i \(0.0461519\pi\)
−0.784697 + 0.619879i \(0.787181\pi\)
\(110\) −6.69736 + 1.79455i −0.638568 + 0.171104i
\(111\) 0.178387 + 9.56234i 0.0169317 + 0.907617i
\(112\) 2.61407 0.408204i 0.247007 0.0385716i
\(113\) −9.45842 + 5.46082i −0.889774 + 0.513711i −0.873868 0.486163i \(-0.838396\pi\)
−0.0159051 + 0.999874i \(0.505063\pi\)
\(114\) 10.1867 2.93421i 0.954069 0.274814i
\(115\) −3.36131 + 12.5446i −0.313444 + 1.16979i
\(116\) 4.51025 7.81199i 0.418767 0.725325i
\(117\) 10.1397 3.76661i 0.937412 0.348223i
\(118\) 10.1284 0.932392
\(119\) 6.62958 1.03525i 0.607732 0.0949012i
\(120\) 0.815088 3.28593i 0.0744070 0.299963i
\(121\) 1.37114 + 0.791629i 0.124649 + 0.0719662i
\(122\) 10.8358 2.90344i 0.981025 0.262865i
\(123\) −9.72739 5.37673i −0.877089 0.484804i
\(124\) 0.803657 0.215339i 0.0721705 0.0193380i
\(125\) 8.54078 8.54078i 0.763911 0.763911i
\(126\) 4.43698 6.58128i 0.395277 0.586307i
\(127\) −11.1018 6.40962i −0.985124 0.568762i −0.0813110 0.996689i \(-0.525911\pi\)
−0.903813 + 0.427927i \(0.859244\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 8.59151 + 2.13116i 0.756440 + 0.187638i
\(130\) −5.25712 4.69361i −0.461080 0.411657i
\(131\) −4.78950 + 2.76522i −0.418461 + 0.241598i −0.694419 0.719571i \(-0.744338\pi\)
0.275958 + 0.961170i \(0.411005\pi\)
\(132\) −5.26271 + 3.17075i −0.458060 + 0.275979i
\(133\) −6.55412 14.8074i −0.568315 1.28396i
\(134\) 5.95603 + 10.3161i 0.514523 + 0.891180i
\(135\) −5.56226 8.49802i −0.478723 0.731393i
\(136\) 1.79330 1.79330i 0.153774 0.153774i
\(137\) 8.89989 8.89989i 0.760369 0.760369i −0.216020 0.976389i \(-0.569308\pi\)
0.976389 + 0.216020i \(0.0693077\pi\)
\(138\) 0.214650 + 11.5062i 0.0182723 + 0.979477i
\(139\) −5.11177 8.85384i −0.433574 0.750973i 0.563604 0.826045i \(-0.309415\pi\)
−0.997178 + 0.0750724i \(0.976081\pi\)
\(140\) −5.14193 0.551746i −0.434573 0.0466310i
\(141\) 10.3061 + 17.1057i 0.867928 + 1.44056i
\(142\) 5.10246 2.94591i 0.428189 0.247215i
\(143\) 0.723139 + 12.7695i 0.0604719 + 1.06784i
\(144\) −0.111892 2.99791i −0.00932431 0.249826i
\(145\) −12.4675 + 12.4675i −1.03537 + 1.03537i
\(146\) −9.29012 5.36365i −0.768856 0.443899i
\(147\) −10.8805 5.34926i −0.897409 0.441199i
\(148\) 3.90449 3.90449i 0.320947 0.320947i
\(149\) −20.4208 + 5.47173i −1.67294 + 0.448262i −0.965900 0.258915i \(-0.916635\pi\)
−0.707036 + 0.707177i \(0.749968\pi\)
\(150\) 0.988250 1.78791i 0.0806903 0.145982i
\(151\) 2.30442 0.617468i 0.187531 0.0502488i −0.163831 0.986488i \(-0.552385\pi\)
0.351362 + 0.936240i \(0.385719\pi\)
\(152\) −5.30042 3.06020i −0.429921 0.248215i
\(153\) −0.283770 7.60304i −0.0229414 0.614669i
\(154\) 5.89045 + 7.30653i 0.474666 + 0.588777i
\(155\) −1.62626 −0.130624
\(156\) −5.62769 2.70722i −0.450576 0.216751i
\(157\) 5.47220 9.47812i 0.436729 0.756437i −0.560706 0.828015i \(-0.689470\pi\)
0.997435 + 0.0715782i \(0.0228036\pi\)
\(158\) −3.05615 + 11.4057i −0.243134 + 0.907389i
\(159\) −2.69748 9.36481i −0.213924 0.742678i
\(160\) −1.69275 + 0.977313i −0.133824 + 0.0772633i
\(161\) 17.3687 2.71222i 1.36884 0.213753i
\(162\) −6.82064 5.87187i −0.535880 0.461338i
\(163\) 19.7291 5.28639i 1.54530 0.414062i 0.617326 0.786707i \(-0.288216\pi\)
0.927974 + 0.372645i \(0.121549\pi\)
\(164\) 1.66083 + 6.19829i 0.129689 + 0.484005i
\(165\) 11.5402 3.32408i 0.898402 0.258779i
\(166\) 1.21580i 0.0943642i
\(167\) 0.700037 + 2.61257i 0.0541705 + 0.202167i 0.987707 0.156314i \(-0.0499613\pi\)
−0.933537 + 0.358481i \(0.883295\pi\)
\(168\) −4.51373 + 0.791357i −0.348242 + 0.0610545i
\(169\) −10.4525 + 7.72949i −0.804039 + 0.594576i
\(170\) −4.29302 + 2.47857i −0.329259 + 0.190098i
\(171\) −17.5460 + 5.41041i −1.34177 + 0.413744i
\(172\) −2.55532 4.42594i −0.194841 0.337475i
\(173\) 4.29069 7.43170i 0.326215 0.565022i −0.655542 0.755159i \(-0.727560\pi\)
0.981758 + 0.190137i \(0.0608932\pi\)
\(174\) −7.55826 + 13.6741i −0.572990 + 1.03663i
\(175\) −2.91081 1.12462i −0.220036 0.0850134i
\(176\) 3.42642 + 0.918106i 0.258276 + 0.0692048i
\(177\) −17.5398 + 0.327207i −1.31837 + 0.0245944i
\(178\) 2.81890 0.211286
\(179\) 1.02031 + 1.76722i 0.0762612 + 0.132088i 0.901634 0.432500i \(-0.142368\pi\)
−0.825373 + 0.564588i \(0.809035\pi\)
\(180\) −1.30537 + 5.71673i −0.0972967 + 0.426100i
\(181\) 3.77689i 0.280734i 0.990100 + 0.140367i \(0.0448283\pi\)
−0.990100 + 0.140367i \(0.955172\pi\)
\(182\) −2.92936 + 9.07848i −0.217139 + 0.672942i
\(183\) −18.6710 + 5.37809i −1.38020 + 0.397560i
\(184\) 4.69822 4.69822i 0.346358 0.346358i
\(185\) −9.34702 + 5.39651i −0.687207 + 0.396759i
\(186\) −1.38478 + 0.398876i −0.101537 + 0.0292470i
\(187\) 8.68978 + 2.32842i 0.635459 + 0.170271i
\(188\) 2.98417 11.1371i 0.217643 0.812254i
\(189\) −7.47112 + 11.5405i −0.543444 + 0.839446i
\(190\) 8.45917 + 8.45917i 0.613693 + 0.613693i
\(191\) −8.57497 4.95076i −0.620463 0.358224i 0.156586 0.987664i \(-0.449951\pi\)
−0.777049 + 0.629440i \(0.783284\pi\)
\(192\) −1.20169 + 1.24738i −0.0867244 + 0.0900216i
\(193\) 1.01017 3.76999i 0.0727134 0.271370i −0.919992 0.391938i \(-0.871805\pi\)
0.992705 + 0.120568i \(0.0384715\pi\)
\(194\) 3.59956 + 6.23461i 0.258433 + 0.447619i
\(195\) 9.25565 + 7.95832i 0.662811 + 0.569907i
\(196\) 2.13415 + 6.66674i 0.152439 + 0.476196i
\(197\) −4.64694 + 1.24514i −0.331081 + 0.0887129i −0.420530 0.907279i \(-0.638156\pi\)
0.0894493 + 0.995991i \(0.471489\pi\)
\(198\) 9.01126 5.66097i 0.640402 0.402307i
\(199\) 8.78409i 0.622688i −0.950297 0.311344i \(-0.899221\pi\)
0.950297 0.311344i \(-0.100779\pi\)
\(200\) −1.13925 + 0.305262i −0.0805573 + 0.0215853i
\(201\) −10.6476 17.6726i −0.751026 1.24653i
\(202\) −1.40682 + 5.25034i −0.0989838 + 0.369412i
\(203\) 22.2622 + 8.60125i 1.56250 + 0.603689i
\(204\) −3.04761 + 3.16348i −0.213376 + 0.221488i
\(205\) 12.5427i 0.876021i
\(206\) −11.7531 3.14924i −0.818879 0.219418i
\(207\) −0.743442 19.9190i −0.0516728 1.38447i
\(208\) 1.12860 + 3.42436i 0.0782545 + 0.237437i
\(209\) 21.7108i 1.50177i
\(210\) 8.92237 + 0.789370i 0.615702 + 0.0544717i
\(211\) −8.63034 + 14.9482i −0.594137 + 1.02908i 0.399531 + 0.916720i \(0.369173\pi\)
−0.993668 + 0.112356i \(0.964160\pi\)
\(212\) −2.81330 + 4.87278i −0.193218 + 0.334664i
\(213\) −8.74101 + 5.26641i −0.598924 + 0.360849i
\(214\) 5.01184 5.01184i 0.342602 0.342602i
\(215\) 2.58544 + 9.64900i 0.176326 + 0.658056i
\(216\) 0.290619 + 5.18802i 0.0197741 + 0.353000i
\(217\) 0.890968 + 2.01291i 0.0604828 + 0.136645i
\(218\) −4.13084 + 7.15483i −0.279776 + 0.484586i
\(219\) 16.2614 + 8.98838i 1.09885 + 0.607378i
\(220\) −6.00469 3.46681i −0.404836 0.233732i
\(221\) 2.86226 + 8.68456i 0.192537 + 0.584187i
\(222\) −6.63546 + 6.88774i −0.445343 + 0.462275i
\(223\) −4.00258 14.9378i −0.268032 1.00031i −0.960368 0.278735i \(-0.910085\pi\)
0.692336 0.721576i \(-0.256582\pi\)
\(224\) 2.13707 + 1.55978i 0.142789 + 0.104217i
\(225\) −1.65364 + 3.12813i −0.110243 + 0.208542i
\(226\) −10.5495 2.82673i −0.701742 0.188031i
\(227\) −13.7448 13.7448i −0.912278 0.912278i 0.0841735 0.996451i \(-0.473175\pi\)
−0.996451 + 0.0841735i \(0.973175\pi\)
\(228\) 9.27786 + 5.12826i 0.614441 + 0.339627i
\(229\) −1.38301 + 5.16146i −0.0913917 + 0.341079i −0.996448 0.0842139i \(-0.973162\pi\)
0.905056 + 0.425292i \(0.139829\pi\)
\(230\) −11.2472 + 6.49355i −0.741616 + 0.428172i
\(231\) −10.4368 12.4628i −0.686693 0.819991i
\(232\) 8.71314 2.33468i 0.572046 0.153279i
\(233\) −2.67277 4.62938i −0.175099 0.303281i 0.765096 0.643916i \(-0.222691\pi\)
−0.940196 + 0.340635i \(0.889358\pi\)
\(234\) 9.83322 + 4.50642i 0.642817 + 0.294594i
\(235\) −11.2684 + 19.5174i −0.735067 + 1.27317i
\(236\) 7.16184 + 7.16184i 0.466196 + 0.466196i
\(237\) 4.92401 19.8506i 0.319849 1.28943i
\(238\) 5.41985 + 3.95579i 0.351317 + 0.256416i
\(239\) 1.77800 + 1.77800i 0.115009 + 0.115009i 0.762269 0.647260i \(-0.224085\pi\)
−0.647260 + 0.762269i \(0.724085\pi\)
\(240\) 2.89985 1.74715i 0.187185 0.112778i
\(241\) 0.541486 + 0.541486i 0.0348802 + 0.0348802i 0.724332 0.689452i \(-0.242148\pi\)
−0.689452 + 0.724332i \(0.742148\pi\)
\(242\) 0.409777 + 1.52931i 0.0263415 + 0.0983077i
\(243\) 12.0013 + 9.94826i 0.769886 + 0.638181i
\(244\) 9.71509 + 5.60901i 0.621945 + 0.359080i
\(245\) −0.656653 13.6666i −0.0419520 0.873128i
\(246\) −3.07638 10.6802i −0.196143 0.680946i
\(247\) 18.4565 12.0966i 1.17436 0.769687i
\(248\) 0.720539 + 0.416003i 0.0457543 + 0.0264162i
\(249\) −0.0392775 2.10546i −0.00248911 0.133428i
\(250\) 12.0785 0.763911
\(251\) −4.20343 7.28055i −0.265318 0.459544i 0.702329 0.711853i \(-0.252144\pi\)
−0.967647 + 0.252308i \(0.918810\pi\)
\(252\) 7.79108 1.51625i 0.490792 0.0955149i
\(253\) 22.7661 + 6.10016i 1.43129 + 0.383514i
\(254\) −3.31786 12.3824i −0.208181 0.776943i
\(255\) 7.35435 4.43096i 0.460548 0.277477i
\(256\) 1.00000 0.0625000
\(257\) 6.24911 0.389808 0.194904 0.980822i \(-0.437560\pi\)
0.194904 + 0.980822i \(0.437560\pi\)
\(258\) 4.56816 + 7.58207i 0.284401 + 0.472039i
\(259\) 11.8004 + 8.61279i 0.733244 + 0.535173i
\(260\) −0.398463 7.03623i −0.0247117 0.436368i
\(261\) 12.6473 23.9243i 0.782845 1.48088i
\(262\) −5.34200 1.43138i −0.330030 0.0884312i
\(263\) −25.7211 + 14.8501i −1.58603 + 0.915695i −0.592078 + 0.805880i \(0.701692\pi\)
−0.993952 + 0.109815i \(0.964974\pi\)
\(264\) −5.96336 1.47924i −0.367019 0.0910407i
\(265\) 7.77669 7.77669i 0.477718 0.477718i
\(266\) 5.83593 15.1049i 0.357824 0.926138i
\(267\) −4.88164 + 0.0910675i −0.298751 + 0.00557324i
\(268\) −3.08307 + 11.5062i −0.188328 + 0.702851i
\(269\) 24.7830i 1.51105i 0.655121 + 0.755524i \(0.272618\pi\)
−0.655121 + 0.755524i \(0.727382\pi\)
\(270\) 2.07589 9.94212i 0.126335 0.605058i
\(271\) −18.8800 18.8800i −1.14688 1.14688i −0.987164 0.159712i \(-0.948944\pi\)
−0.159712 0.987164i \(-0.551056\pi\)
\(272\) 2.53611 0.153774
\(273\) 4.77963 15.8163i 0.289276 0.957246i
\(274\) 12.5863 0.760369
\(275\) −2.95841 2.95841i −0.178399 0.178399i
\(276\) −7.98437 + 8.28793i −0.480602 + 0.498875i
\(277\) 12.7942i 0.768728i −0.923182 0.384364i \(-0.874421\pi\)
0.923182 0.384364i \(-0.125579\pi\)
\(278\) 2.64605 9.87518i 0.158699 0.592274i
\(279\) 2.38520 0.735491i 0.142798 0.0440327i
\(280\) −3.24575 4.02604i −0.193971 0.240602i
\(281\) 6.25598 6.25598i 0.373200 0.373200i −0.495441 0.868641i \(-0.664994\pi\)
0.868641 + 0.495441i \(0.164994\pi\)
\(282\) −4.80804 + 19.3830i −0.286315 + 1.15424i
\(283\) −11.8593 + 6.84695i −0.704961 + 0.407009i −0.809192 0.587544i \(-0.800095\pi\)
0.104232 + 0.994553i \(0.466762\pi\)
\(284\) 5.69106 + 1.52491i 0.337702 + 0.0904870i
\(285\) −14.9225 14.3759i −0.883930 0.851554i
\(286\) −8.51804 + 9.54072i −0.503683 + 0.564154i
\(287\) −15.5248 + 6.87168i −0.916401 + 0.405623i
\(288\) 2.04072 2.19896i 0.120251 0.129575i
\(289\) −10.5681 −0.621655
\(290\) −17.6317 −1.03537
\(291\) −6.43494 10.6805i −0.377223 0.626102i
\(292\) −2.77643 10.3618i −0.162478 0.606377i
\(293\) −4.43762 1.18906i −0.259249 0.0694655i 0.126854 0.991921i \(-0.459512\pi\)
−0.386102 + 0.922456i \(0.626179\pi\)
\(294\) −3.91118 11.4762i −0.228105 0.669304i
\(295\) −9.89858 17.1448i −0.576318 0.998211i
\(296\) 5.52178 0.320947
\(297\) −15.4224 + 10.0945i −0.894896 + 0.585742i
\(298\) −18.3088 10.5706i −1.06060 0.612337i
\(299\) 7.49877 + 22.7525i 0.433665 + 1.31581i
\(300\) 1.96304 0.565442i 0.113336 0.0326458i
\(301\) 10.5266 8.48647i 0.606745 0.489152i
\(302\) 2.06609 + 1.19286i 0.118890 + 0.0686412i
\(303\) 2.26665 9.13772i 0.130216 0.524948i
\(304\) −1.58408 5.91185i −0.0908529 0.339068i
\(305\) −15.5047 15.5047i −0.887799 0.887799i
\(306\) 5.17551 5.57682i 0.295864 0.318805i
\(307\) −5.42627 5.42627i −0.309694 0.309694i 0.535097 0.844791i \(-0.320275\pi\)
−0.844791 + 0.535097i \(0.820275\pi\)
\(308\) −1.00132 + 9.33168i −0.0570554 + 0.531722i
\(309\) 20.4552 + 5.07400i 1.16366 + 0.288650i
\(310\) −1.14994 1.14994i −0.0653122 0.0653122i
\(311\) −7.38492 + 12.7911i −0.418760 + 0.725314i −0.995815 0.0913914i \(-0.970869\pi\)
0.577055 + 0.816705i \(0.304202\pi\)
\(312\) −2.06509 5.89368i −0.116912 0.333664i
\(313\) −9.11510 15.7878i −0.515216 0.892380i −0.999844 0.0176598i \(-0.994378\pi\)
0.484628 0.874720i \(-0.338955\pi\)
\(314\) 10.5715 2.83262i 0.596583 0.159854i
\(315\) −15.4768 1.07875i −0.872019 0.0607804i
\(316\) −10.2261 + 5.90403i −0.575262 + 0.332128i
\(317\) −6.53071 + 24.3729i −0.366801 + 1.36892i 0.498162 + 0.867084i \(0.334009\pi\)
−0.864963 + 0.501836i \(0.832658\pi\)
\(318\) 4.71451 8.52932i 0.264377 0.478301i
\(319\) 22.6263 + 22.6263i 1.26683 + 1.26683i
\(320\) −1.88802 0.505894i −0.105544 0.0282803i
\(321\) −8.51734 + 8.84117i −0.475392 + 0.493466i
\(322\) 14.1993 + 10.3637i 0.791297 + 0.577544i
\(323\) −4.01739 14.9931i −0.223534 0.834239i
\(324\) −0.670883 8.97496i −0.0372713 0.498609i
\(325\) 0.866632 4.16329i 0.0480721 0.230938i
\(326\) 17.6886 + 10.2125i 0.979681 + 0.565619i
\(327\) 6.92244 12.5238i 0.382812 0.692569i
\(328\) −3.20847 + 5.55723i −0.177158 + 0.306847i
\(329\) 30.3313 + 3.25464i 1.67222 + 0.179434i
\(330\) 10.5106 + 5.80966i 0.578591 + 0.319811i
\(331\) 5.03732 + 18.7996i 0.276876 + 1.03332i 0.954573 + 0.297976i \(0.0963114\pi\)
−0.677697 + 0.735341i \(0.737022\pi\)
\(332\) −0.859699 + 0.859699i −0.0471821 + 0.0471821i
\(333\) 11.2684 12.1422i 0.617507 0.665388i
\(334\) −1.35237 + 2.34237i −0.0739982 + 0.128169i
\(335\) 11.6418 20.1642i 0.636060 1.10169i
\(336\) −3.75126 2.63212i −0.204648 0.143594i
\(337\) 4.64457i 0.253006i 0.991966 + 0.126503i \(0.0403753\pi\)
−0.991966 + 0.126503i \(0.959625\pi\)
\(338\) −12.8566 1.92547i −0.699308 0.104732i
\(339\) 18.3604 + 4.55438i 0.997201 + 0.247360i
\(340\) −4.78824 1.28300i −0.259679 0.0695807i
\(341\) 2.95137i 0.159826i
\(342\) −16.2326 8.58113i −0.877759 0.464015i
\(343\) −16.5562 + 8.30020i −0.893949 + 0.448169i
\(344\) 1.32273 4.93650i 0.0713168 0.266158i
\(345\) 19.2675 11.6086i 1.03733 0.624983i
\(346\) 8.28899 2.22103i 0.445619 0.119403i
\(347\) 16.2364i 0.871618i −0.900039 0.435809i \(-0.856462\pi\)
0.900039 0.435809i \(-0.143538\pi\)
\(348\) −15.0136 + 4.32457i −0.804811 + 0.231821i
\(349\) 8.30463 2.22522i 0.444536 0.119113i −0.0296054 0.999562i \(-0.509425\pi\)
0.474142 + 0.880448i \(0.342758\pi\)
\(350\) −1.26302 2.85348i −0.0675114 0.152525i
\(351\) −17.1743 7.48633i −0.916694 0.399590i
\(352\) 1.77364 + 3.07204i 0.0945356 + 0.163740i
\(353\) −7.15637 + 26.7079i −0.380895 + 1.42152i 0.463642 + 0.886023i \(0.346542\pi\)
−0.844537 + 0.535497i \(0.820124\pi\)
\(354\) −12.6339 12.1711i −0.671483 0.646889i
\(355\) −9.97340 5.75814i −0.529333 0.305611i
\(356\) 1.99327 + 1.99327i 0.105643 + 0.105643i
\(357\) −9.51362 6.67534i −0.503514 0.353296i
\(358\) −0.528149 + 1.97108i −0.0279135 + 0.104175i
\(359\) 6.30441 + 1.68926i 0.332734 + 0.0891558i 0.421318 0.906913i \(-0.361568\pi\)
−0.0885842 + 0.996069i \(0.528234\pi\)
\(360\) −4.96538 + 3.11930i −0.261698 + 0.164402i
\(361\) −15.9862 + 9.22963i −0.841378 + 0.485770i
\(362\) −2.67067 + 2.67067i −0.140367 + 0.140367i
\(363\) −0.759037 2.63514i −0.0398391 0.138309i
\(364\) −8.49083 + 4.34809i −0.445040 + 0.227902i
\(365\) 20.9679i 1.09751i
\(366\) −17.0053 9.39954i −0.888882 0.491322i
\(367\) −8.87685 15.3751i −0.463368 0.802576i 0.535759 0.844371i \(-0.320026\pi\)
−0.999126 + 0.0417949i \(0.986692\pi\)
\(368\) 6.64429 0.346358
\(369\) 5.67255 + 18.3961i 0.295301 + 0.957662i
\(370\) −10.4252 2.79344i −0.541983 0.145224i
\(371\) −13.8862 5.36508i −0.720936 0.278541i
\(372\) −1.26123 0.697136i −0.0653918 0.0361448i
\(373\) −7.91561 + 13.7102i −0.409855 + 0.709889i −0.994873 0.101131i \(-0.967754\pi\)
0.585018 + 0.811020i \(0.301087\pi\)
\(374\) 4.49816 + 7.79104i 0.232594 + 0.402865i
\(375\) −20.9169 + 0.390208i −1.08015 + 0.0201502i
\(376\) 9.98523 5.76497i 0.514949 0.297306i
\(377\) −6.62811 + 31.8414i −0.341365 + 1.63991i
\(378\) −13.4432 + 2.87747i −0.691445 + 0.148001i
\(379\) −1.80495 6.73617i −0.0927141 0.346014i 0.903949 0.427641i \(-0.140655\pi\)
−0.996663 + 0.0816269i \(0.973988\pi\)
\(380\) 11.9631i 0.613693i
\(381\) 6.14574 + 21.3361i 0.314856 + 1.09308i
\(382\) −2.56270 9.56413i −0.131119 0.489344i
\(383\) 32.4182 8.68644i 1.65649 0.443856i 0.695074 0.718938i \(-0.255372\pi\)
0.961421 + 0.275082i \(0.0887049\pi\)
\(384\) −1.73175 + 0.0323060i −0.0883730 + 0.00164861i
\(385\) 6.61135 17.1119i 0.336946 0.872101i
\(386\) 3.38008 1.95149i 0.172042 0.0993284i
\(387\) −8.15585 12.9827i −0.414585 0.659946i
\(388\) −1.86327 + 6.95381i −0.0945930 + 0.353026i
\(389\) −15.1589 + 26.2560i −0.768587 + 1.33123i 0.169743 + 0.985488i \(0.445706\pi\)
−0.938329 + 0.345743i \(0.887627\pi\)
\(390\) 0.917351 + 12.1721i 0.0464519 + 0.616359i
\(391\) 16.8507 0.852175
\(392\) −3.20503 + 6.22317i −0.161878 + 0.314317i
\(393\) 9.29724 + 2.30622i 0.468984 + 0.116333i
\(394\) −4.16633 2.40543i −0.209897 0.121184i
\(395\) 22.2939 5.97363i 1.12173 0.300566i
\(396\) 10.3748 + 2.36901i 0.521355 + 0.119047i
\(397\) −17.2557 + 4.62365i −0.866039 + 0.232055i −0.664374 0.747400i \(-0.731302\pi\)
−0.201665 + 0.979455i \(0.564635\pi\)
\(398\) 6.21129 6.21129i 0.311344 0.311344i
\(399\) −9.61839 + 26.3464i −0.481522 + 1.31897i
\(400\) −1.02143 0.589721i −0.0510713 0.0294860i
\(401\) 0.697848 0.697848i 0.0348489 0.0348489i −0.689468 0.724316i \(-0.742155\pi\)
0.724316 + 0.689468i \(0.242155\pi\)
\(402\) 4.96738 20.0254i 0.247751 0.998776i
\(403\) −2.50898 + 1.64441i −0.124981 + 0.0819138i
\(404\) −4.70732 + 2.71777i −0.234198 + 0.135214i
\(405\) −3.27374 + 17.2843i −0.162673 + 0.858865i
\(406\) 9.65976 + 21.8238i 0.479406 + 1.08309i
\(407\) 9.79368 + 16.9631i 0.485455 + 0.840832i
\(408\) −4.39191 + 0.0819316i −0.217432 + 0.00405622i
\(409\) −4.54898 + 4.54898i −0.224932 + 0.224932i −0.810572 0.585639i \(-0.800844\pi\)
0.585639 + 0.810572i \(0.300844\pi\)
\(410\) 8.86904 8.86904i 0.438010 0.438010i
\(411\) −21.7964 + 0.406614i −1.07514 + 0.0200568i
\(412\) −6.08387 10.5376i −0.299731 0.519149i
\(413\) −15.7981 + 21.6450i −0.777372 + 1.06508i
\(414\) 13.5592 14.6106i 0.666397 0.718070i
\(415\) 2.05805 1.18821i 0.101026 0.0583271i
\(416\) −1.62335 + 3.21943i −0.0795911 + 0.157846i
\(417\) −4.26326 + 17.1868i −0.208773 + 0.841642i
\(418\) 15.3519 15.3519i 0.750884 0.750884i
\(419\) 4.14630 + 2.39387i 0.202560 + 0.116948i 0.597849 0.801609i \(-0.296022\pi\)
−0.395289 + 0.918557i \(0.629356\pi\)
\(420\) 5.75090 + 6.86724i 0.280615 + 0.335087i
\(421\) −0.472730 + 0.472730i −0.0230395 + 0.0230395i −0.718533 0.695493i \(-0.755186\pi\)
0.695493 + 0.718533i \(0.255186\pi\)
\(422\) −16.6725 + 4.46739i −0.811606 + 0.217469i
\(423\) 7.70013 33.7219i 0.374393 1.63961i
\(424\) −5.43488 + 1.45627i −0.263941 + 0.0707228i
\(425\) −2.59045 1.49560i −0.125655 0.0725471i
\(426\) −9.90475 2.45691i −0.479887 0.119038i
\(427\) −10.6966 + 27.6856i −0.517646 + 1.33980i
\(428\) 7.08782 0.342602
\(429\) 14.4429 16.7973i 0.697310 0.810982i
\(430\) −4.99469 + 8.65106i −0.240865 + 0.417191i
\(431\) −1.02355 + 3.81994i −0.0493027 + 0.184000i −0.986186 0.165642i \(-0.947030\pi\)
0.936883 + 0.349643i \(0.113697\pi\)
\(432\) −3.46298 + 3.87398i −0.166613 + 0.186387i
\(433\) 19.3037 11.1450i 0.927677 0.535595i 0.0416011 0.999134i \(-0.486754\pi\)
0.886076 + 0.463540i \(0.153421\pi\)
\(434\) −0.793336 + 2.05335i −0.0380813 + 0.0985642i
\(435\) 30.5337 0.569610i 1.46398 0.0273107i
\(436\) −7.98018 + 2.13828i −0.382181 + 0.102405i
\(437\) −10.5251 39.2801i −0.503482 1.87902i
\(438\) 5.14283 + 17.8543i 0.245734 + 0.853112i
\(439\) 15.3657i 0.733364i −0.930346 0.366682i \(-0.880494\pi\)
0.930346 0.366682i \(-0.119506\pi\)
\(440\) −1.79455 6.69736i −0.0855519 0.319284i
\(441\) 7.14394 + 19.7475i 0.340188 + 0.940358i
\(442\) −4.11699 + 8.16484i −0.195825 + 0.388362i
\(443\) −21.4724 + 12.3971i −1.02018 + 0.589004i −0.914157 0.405359i \(-0.867146\pi\)
−0.106027 + 0.994363i \(0.533813\pi\)
\(444\) −9.56234 + 0.178387i −0.453809 + 0.00846585i
\(445\) −2.75495 4.77171i −0.130597 0.226201i
\(446\) 7.73239 13.3929i 0.366139 0.634172i
\(447\) 32.0477 + 17.7141i 1.51580 + 0.837849i
\(448\) 0.408204 + 2.61407i 0.0192858 + 0.123503i
\(449\) 25.1155 + 6.72968i 1.18527 + 0.317593i 0.797016 0.603958i \(-0.206411\pi\)
0.388257 + 0.921551i \(0.373077\pi\)
\(450\) −3.38122 + 1.04262i −0.159392 + 0.0491496i
\(451\) −22.7627 −1.07186
\(452\) −5.46082 9.45842i −0.256855 0.444887i
\(453\) −3.61648 1.99898i −0.169917 0.0939204i
\(454\) 19.4382i 0.912278i
\(455\) 18.2305 3.91383i 0.854661 0.183483i
\(456\) 2.93421 + 10.1867i 0.137407 + 0.477034i
\(457\) −12.5689 + 12.5689i −0.587946 + 0.587946i −0.937075 0.349128i \(-0.886478\pi\)
0.349128 + 0.937075i \(0.386478\pi\)
\(458\) −4.62763 + 2.67177i −0.216235 + 0.124843i
\(459\) −8.78251 + 9.82485i −0.409933 + 0.458585i
\(460\) −12.5446 3.36131i −0.584894 0.156722i
\(461\) 7.94677 29.6577i 0.370118 1.38130i −0.490231 0.871593i \(-0.663088\pi\)
0.860349 0.509706i \(-0.170246\pi\)
\(462\) 1.43256 16.1925i 0.0666489 0.753342i
\(463\) 4.70860 + 4.70860i 0.218827 + 0.218827i 0.808004 0.589177i \(-0.200548\pi\)
−0.589177 + 0.808004i \(0.700548\pi\)
\(464\) 7.81199 + 4.51025i 0.362663 + 0.209383i
\(465\) 2.02856 + 1.95426i 0.0940721 + 0.0906266i
\(466\) 1.38353 5.16340i 0.0640908 0.239190i
\(467\) −12.7798 22.1352i −0.591377 1.02430i −0.994047 0.108950i \(-0.965251\pi\)
0.402670 0.915345i \(-0.368082\pi\)
\(468\) 3.76661 + 10.1397i 0.174112 + 0.468706i
\(469\) −31.3365 3.36250i −1.44698 0.155266i
\(470\) −21.7688 + 5.83293i −1.00412 + 0.269053i
\(471\) −18.2156 + 5.24691i −0.839332 + 0.241765i
\(472\) 10.1284i 0.466196i
\(473\) 17.5112 4.69211i 0.805165 0.215743i
\(474\) 17.5183 10.5547i 0.804641 0.484792i
\(475\) −1.86832 + 6.97268i −0.0857245 + 0.319928i
\(476\) 1.03525 + 6.62958i 0.0474506 + 0.303866i
\(477\) −7.88881 + 14.9230i −0.361204 + 0.683275i
\(478\) 2.51448i 0.115009i
\(479\) 8.13879 + 2.18078i 0.371871 + 0.0996425i 0.439914 0.898040i \(-0.355009\pi\)
−0.0680431 + 0.997682i \(0.521676\pi\)
\(480\) 3.28593 + 0.815088i 0.149981 + 0.0372035i
\(481\) −8.96377 + 17.7770i −0.408713 + 0.810562i
\(482\) 0.765776i 0.0348802i
\(483\) −24.9245 17.4885i −1.13410 0.795756i
\(484\) −0.791629 + 1.37114i −0.0359831 + 0.0623246i
\(485\) 7.03578 12.1863i 0.319478 0.553353i
\(486\) 1.45175 + 15.5207i 0.0658526 + 0.704034i
\(487\) 13.3275 13.3275i 0.603927 0.603927i −0.337425 0.941352i \(-0.609556\pi\)
0.941352 + 0.337425i \(0.109556\pi\)
\(488\) 2.90344 + 10.8358i 0.131432 + 0.490512i
\(489\) −30.9622 17.1141i −1.40016 0.773925i
\(490\) 9.19943 10.1281i 0.415588 0.457540i
\(491\) 7.87704 13.6434i 0.355486 0.615719i −0.631715 0.775200i \(-0.717649\pi\)
0.987201 + 0.159481i \(0.0509822\pi\)
\(492\) 5.37673 9.72739i 0.242402 0.438545i
\(493\) 19.8121 + 11.4385i 0.892291 + 0.515165i
\(494\) 21.6043 + 4.49716i 0.972023 + 0.202337i
\(495\) −18.3894 9.72132i −0.826544 0.436941i
\(496\) 0.215339 + 0.803657i 0.00966901 + 0.0360853i
\(497\) −1.66312 + 15.4993i −0.0746013 + 0.695239i
\(498\) 1.46101 1.51656i 0.0654694 0.0679585i
\(499\) 12.3274 + 3.30313i 0.551852 + 0.147868i 0.523960 0.851743i \(-0.324454\pi\)
0.0278916 + 0.999611i \(0.491121\pi\)
\(500\) 8.54078 + 8.54078i 0.381955 + 0.381955i
\(501\) 2.26629 4.10009i 0.101250 0.183178i
\(502\) 2.17585 8.12040i 0.0971131 0.362431i
\(503\) 16.2100 9.35887i 0.722770 0.417291i −0.0930013 0.995666i \(-0.529646\pi\)
0.815771 + 0.578374i \(0.196313\pi\)
\(504\) 6.58128 + 4.43698i 0.293154 + 0.197639i
\(505\) 10.2624 2.74981i 0.456673 0.122365i
\(506\) 11.7846 + 20.4115i 0.523890 + 0.907404i
\(507\) 22.3266 + 2.91908i 0.991561 + 0.129641i
\(508\) 6.40962 11.1018i 0.284381 0.492562i
\(509\) 1.70504 + 1.70504i 0.0755745 + 0.0755745i 0.743884 0.668309i \(-0.232982\pi\)
−0.668309 + 0.743884i \(0.732982\pi\)
\(510\) 8.33347 + 2.06715i 0.369012 + 0.0915351i
\(511\) 25.9531 11.4875i 1.14810 0.508177i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 28.3880 + 14.3360i 1.25336 + 0.632948i
\(514\) 4.41878 + 4.41878i 0.194904 + 0.194904i
\(515\) 6.15558 + 22.9730i 0.271247 + 1.01231i
\(516\) −2.13116 + 8.59151i −0.0938191 + 0.378220i
\(517\) 35.4205 + 20.4500i 1.55779 + 0.899391i
\(518\) 2.25401 + 14.4343i 0.0990356 + 0.634208i
\(519\) −14.2827 + 4.11405i −0.626941 + 0.180587i
\(520\) 4.69361 5.25712i 0.205828 0.230540i
\(521\) −26.5738 15.3424i −1.16422 0.672163i −0.211909 0.977289i \(-0.567968\pi\)
−0.952312 + 0.305126i \(0.901301\pi\)
\(522\) 25.8600 7.97409i 1.13186 0.349017i
\(523\) 17.4701 0.763914 0.381957 0.924180i \(-0.375250\pi\)
0.381957 + 0.924180i \(0.375250\pi\)
\(524\) −2.76522 4.78950i −0.120799 0.209230i
\(525\) 2.27942 + 4.90071i 0.0994822 + 0.213884i
\(526\) −28.6882 7.68697i −1.25086 0.335168i
\(527\) 0.546124 + 2.03816i 0.0237895 + 0.0887838i
\(528\) −3.17075 5.26271i −0.137989 0.229030i
\(529\) 21.1466 0.919418
\(530\) 10.9979 0.477718
\(531\) 22.2719 + 20.6692i 0.966519 + 0.896967i
\(532\) 14.8074 6.55412i 0.641981 0.284157i
\(533\) −12.6827 19.3508i −0.549348 0.838175i
\(534\) −3.51623 3.38744i −0.152162 0.146589i
\(535\) −13.3820 3.58568i −0.578552 0.155023i
\(536\) −10.3161 + 5.95603i −0.445590 + 0.257261i
\(537\) 0.850944 3.43048i 0.0367209 0.148036i
\(538\) −17.5242 + 17.5242i −0.755524 + 0.755524i
\(539\) −24.8024 + 1.19171i −1.06832 + 0.0513304i
\(540\) 8.49802 5.56226i 0.365697 0.239362i
\(541\) 3.26775 12.1954i 0.140492 0.524322i −0.859423 0.511265i \(-0.829177\pi\)
0.999915 0.0130571i \(-0.00415634\pi\)
\(542\) 26.7003i 1.14688i
\(543\) 4.53864 4.71120i 0.194772 0.202177i
\(544\) 1.79330 + 1.79330i 0.0768872 + 0.0768872i
\(545\) 16.1485 0.691726
\(546\) 14.5635 7.80410i 0.623261 0.333985i
\(547\) 3.08215 0.131783 0.0658917 0.997827i \(-0.479011\pi\)
0.0658917 + 0.997827i \(0.479011\pi\)
\(548\) 8.89989 + 8.89989i 0.380184 + 0.380184i
\(549\) 29.7526 + 15.7283i 1.26981 + 0.671267i
\(550\) 4.18382i 0.178399i
\(551\) 14.2892 53.3279i 0.608739 2.27184i
\(552\) −11.5062 + 0.214650i −0.489739 + 0.00913613i
\(553\) −19.6079 24.3217i −0.833812 1.03426i
\(554\) 9.04685 9.04685i 0.384364 0.384364i
\(555\) 18.1442 + 4.50074i 0.770177 + 0.191046i
\(556\) 8.85384 5.11177i 0.375486 0.216787i
\(557\) 42.0608 + 11.2702i 1.78217 + 0.477532i 0.990977 0.134029i \(-0.0427915\pi\)
0.791197 + 0.611561i \(0.209458\pi\)
\(558\) 2.20666 + 1.16652i 0.0934154 + 0.0493827i
\(559\) 13.7455 + 12.2721i 0.581371 + 0.519054i
\(560\) 0.551746 5.14193i 0.0233155 0.217286i
\(561\) −8.04138 13.3468i −0.339507 0.563503i
\(562\) 8.84729 0.373200
\(563\) 4.78291 0.201576 0.100788 0.994908i \(-0.467864\pi\)
0.100788 + 0.994908i \(0.467864\pi\)
\(564\) −17.1057 + 10.3061i −0.720278 + 0.433964i
\(565\) 5.52520 + 20.6203i 0.232447 + 0.867503i
\(566\) −13.2273 3.54424i −0.555985 0.148976i
\(567\) 23.1873 5.41735i 0.973776 0.227507i
\(568\) 2.94591 + 5.10246i 0.123608 + 0.214094i
\(569\) 33.1751 1.39077 0.695386 0.718637i \(-0.255234\pi\)
0.695386 + 0.718637i \(0.255234\pi\)
\(570\) −0.386479 20.7171i −0.0161878 0.867742i
\(571\) 6.52137 + 3.76512i 0.272911 + 0.157565i 0.630210 0.776425i \(-0.282969\pi\)
−0.357299 + 0.933990i \(0.616302\pi\)
\(572\) −12.7695 + 0.723139i −0.533918 + 0.0302359i
\(573\) 4.74694 + 16.4799i 0.198306 + 0.688457i
\(574\) −15.8367 6.11869i −0.661012 0.255389i
\(575\) −6.78665 3.91828i −0.283023 0.163403i
\(576\) 2.99791 0.111892i 0.124913 0.00466216i
\(577\) 3.71436 + 13.8622i 0.154631 + 0.577090i 0.999137 + 0.0415436i \(0.0132275\pi\)
−0.844506 + 0.535546i \(0.820106\pi\)
\(578\) −7.47280 7.47280i −0.310828 0.310828i
\(579\) −5.79042 + 3.48869i −0.240641 + 0.144985i
\(580\) −12.4675 12.4675i −0.517685 0.517685i
\(581\) −2.59825 1.89638i −0.107793 0.0786752i
\(582\) 3.00206 12.1024i 0.124439 0.501663i
\(583\) −14.1133 14.1133i −0.584512 0.584512i
\(584\) 5.36365 9.29012i 0.221950 0.384428i
\(585\) −1.98185 21.0494i −0.0819396 0.870286i
\(586\) −2.29708 3.97867i −0.0948916 0.164357i
\(587\) −34.5575 + 9.25966i −1.42634 + 0.382187i −0.887729 0.460367i \(-0.847718\pi\)
−0.538612 + 0.842554i \(0.681051\pi\)
\(588\) 5.34926 10.8805i 0.220600 0.448705i
\(589\) 4.40998 2.54611i 0.181710 0.104910i
\(590\) 5.12388 19.1226i 0.210947 0.787264i
\(591\) 7.29276 + 4.03101i 0.299984 + 0.165814i
\(592\) 3.90449 + 3.90449i 0.160474 + 0.160474i
\(593\) 28.8732 + 7.73655i 1.18568 + 0.317702i 0.797177 0.603745i \(-0.206326\pi\)
0.388503 + 0.921447i \(0.372992\pi\)
\(594\) −18.0431 3.76737i −0.740319 0.154577i
\(595\) 1.39929 13.0405i 0.0573653 0.534609i
\(596\) −5.47173 20.4208i −0.224131 0.836468i
\(597\) −10.5557 + 10.9571i −0.432017 + 0.448443i
\(598\) −10.7860 + 21.3909i −0.441072 + 0.874737i
\(599\) 28.4385 + 16.4190i 1.16196 + 0.670861i 0.951774 0.306800i \(-0.0992581\pi\)
0.210191 + 0.977660i \(0.432591\pi\)
\(600\) 1.78791 + 0.988250i 0.0729909 + 0.0403451i
\(601\) −10.4847 + 18.1600i −0.427680 + 0.740764i −0.996667 0.0815832i \(-0.974002\pi\)
0.568986 + 0.822347i \(0.307336\pi\)
\(602\) 13.4443 + 1.44262i 0.547949 + 0.0587966i
\(603\) −7.95533 + 34.8395i −0.323966 + 1.41877i
\(604\) 0.617468 + 2.30442i 0.0251244 + 0.0937656i
\(605\) 2.18827 2.18827i 0.0889656 0.0889656i
\(606\) 8.06411 4.85858i 0.327582 0.197366i
\(607\) −4.81188 + 8.33441i −0.195308 + 0.338283i −0.947001 0.321229i \(-0.895904\pi\)
0.751693 + 0.659513i \(0.229237\pi\)
\(608\) 3.06020 5.30042i 0.124107 0.214960i
\(609\) −17.4333 37.4812i −0.706434 1.51882i
\(610\) 21.9270i 0.887799i
\(611\) 2.35046 + 41.5053i 0.0950893 + 1.67913i
\(612\) 7.60304 0.283770i 0.307335 0.0114707i
\(613\) 1.84344 + 0.493947i 0.0744557 + 0.0199503i 0.295855 0.955233i \(-0.404396\pi\)
−0.221399 + 0.975183i \(0.571062\pi\)
\(614\) 7.67391i 0.309694i
\(615\) −15.0724 + 15.6455i −0.607779 + 0.630886i
\(616\) −7.30653 + 5.89045i −0.294388 + 0.237333i
\(617\) −2.19996 + 8.21036i −0.0885670 + 0.330536i −0.995966 0.0897342i \(-0.971398\pi\)
0.907399 + 0.420271i \(0.138065\pi\)
\(618\) 10.8762 + 18.0519i 0.437503 + 0.726153i
\(619\) 21.1857 5.67669i 0.851524 0.228165i 0.193443 0.981112i \(-0.438035\pi\)
0.658082 + 0.752946i \(0.271368\pi\)
\(620\) 1.62626i 0.0653122i
\(621\) −23.0091 + 25.7399i −0.923323 + 1.03291i
\(622\) −14.2666 + 3.82271i −0.572037 + 0.153277i
\(623\) −4.39688 + 6.02420i −0.176157 + 0.241354i
\(624\) 2.70722 5.62769i 0.108376 0.225288i
\(625\) −8.85586 15.3388i −0.354234 0.613552i
\(626\) 4.71832 17.6090i 0.188582 0.703798i
\(627\) −26.0896 + 27.0815i −1.04192 + 1.08153i
\(628\) 9.47812 + 5.47220i 0.378218 + 0.218364i
\(629\) 9.90222 + 9.90222i 0.394827 + 0.394827i
\(630\) −10.1810 11.7065i −0.405619 0.466400i
\(631\) 1.95596 7.29974i 0.0778655 0.290598i −0.916002 0.401173i \(-0.868603\pi\)
0.993868 + 0.110575i \(0.0352692\pi\)
\(632\) −11.4057 3.05615i −0.453695 0.121567i
\(633\) 28.7283 8.27502i 1.14185 0.328903i
\(634\) −21.8522 + 12.6164i −0.867861 + 0.501060i
\(635\) −17.7178 + 17.7178i −0.703111 + 0.703111i
\(636\) 9.36481 2.69748i 0.371339 0.106962i
\(637\) −14.8322 20.4207i −0.587673 0.809099i
\(638\) 31.9984i 1.26683i
\(639\) 17.2319 + 3.93478i 0.681684 + 0.155657i
\(640\) −0.977313 1.69275i −0.0386317 0.0669120i
\(641\) −7.94978 −0.313997 −0.156999 0.987599i \(-0.550182\pi\)
−0.156999 + 0.987599i \(0.550182\pi\)
\(642\) −12.2743 + 0.228979i −0.484429 + 0.00903708i
\(643\) 24.7126 + 6.62172i 0.974570 + 0.261135i 0.710756 0.703438i \(-0.248353\pi\)
0.263814 + 0.964574i \(0.415020\pi\)
\(644\) 2.71222 + 17.3687i 0.106877 + 0.684421i
\(645\) 8.37007 15.1428i 0.329571 0.596248i
\(646\) 7.76100 13.4425i 0.305353 0.528886i
\(647\) −8.25581 14.2995i −0.324569 0.562170i 0.656856 0.754016i \(-0.271886\pi\)
−0.981425 + 0.191846i \(0.938553\pi\)
\(648\) 5.87187 6.82064i 0.230669 0.267940i
\(649\) −31.1148 + 17.9641i −1.22136 + 0.705153i
\(650\) 3.55669 2.33109i 0.139505 0.0914329i
\(651\) 1.30752 3.58152i 0.0512459 0.140371i
\(652\) 5.28639 + 19.7291i 0.207031 + 0.772650i
\(653\) 14.5471i 0.569271i 0.958636 + 0.284635i \(0.0918725\pi\)
−0.958636 + 0.284635i \(0.908128\pi\)
\(654\) 13.7506 3.96078i 0.537691 0.154879i
\(655\) 2.79782 + 10.4416i 0.109320 + 0.407987i
\(656\) −6.19829 + 1.66083i −0.242002 + 0.0648444i
\(657\) −9.48290 30.7531i −0.369963 1.19979i
\(658\) 19.1461 + 23.7488i 0.746391 + 0.925825i
\(659\) −22.4966 + 12.9884i −0.876342 + 0.505956i −0.869451 0.494020i \(-0.835527\pi\)
−0.00689143 + 0.999976i \(0.502194\pi\)
\(660\) 3.32408 + 11.5402i 0.129390 + 0.449201i
\(661\) 5.38872 20.1110i 0.209597 0.782226i −0.778402 0.627766i \(-0.783969\pi\)
0.987999 0.154460i \(-0.0493639\pi\)
\(662\) −9.73136 + 16.8552i −0.378220 + 0.655097i
\(663\) 6.86582 14.2725i 0.266646 0.554296i
\(664\) −1.21580 −0.0471821
\(665\) −31.2723 + 4.88337i −1.21269 + 0.189369i
\(666\) 16.5538 0.617842i 0.641447 0.0239409i
\(667\) 51.9051 + 29.9675i 2.00978 + 1.16034i
\(668\) −2.61257 + 0.700037i −0.101083 + 0.0270852i
\(669\) −12.9579 + 23.4429i −0.500981 + 0.906356i
\(670\) 22.4902 6.02624i 0.868874 0.232814i
\(671\) −28.1383 + 28.1383i −1.08627 + 1.08627i
\(672\) −0.791357 4.51373i −0.0305272 0.174121i
\(673\) −42.3938 24.4761i −1.63416 0.943484i −0.982790 0.184726i \(-0.940860\pi\)
−0.651372 0.758758i \(-0.725806\pi\)
\(674\) −3.28421 + 3.28421i −0.126503 + 0.126503i
\(675\) 5.82175 1.91479i 0.224079 0.0737004i
\(676\) −7.72949 10.4525i −0.297288 0.402020i
\(677\) −25.5319 + 14.7409i −0.981273 + 0.566538i −0.902654 0.430367i \(-0.858384\pi\)
−0.0786184 + 0.996905i \(0.525051\pi\)
\(678\) 9.76234 + 16.2032i 0.374920 + 0.622280i
\(679\) −18.9383 2.03214i −0.726787 0.0779865i
\(680\) −2.47857 4.29302i −0.0950490 0.164630i
\(681\) 0.627969 + 33.6620i 0.0240638 + 1.28993i
\(682\) −2.08693 + 2.08693i −0.0799128 + 0.0799128i
\(683\) 28.0663 28.0663i 1.07393 1.07393i 0.0768873 0.997040i \(-0.475502\pi\)
0.997040 0.0768873i \(-0.0244982\pi\)
\(684\) −5.41041 17.5460i −0.206872 0.670887i
\(685\) −12.3008 21.3056i −0.469989 0.814045i
\(686\) −17.5761 5.83785i −0.671059 0.222890i
\(687\) 7.92759 4.77633i 0.302456 0.182228i
\(688\) 4.42594 2.55532i 0.168737 0.0974206i
\(689\) 4.13433 19.8613i 0.157505 0.756654i
\(690\) 21.8327 + 5.41568i 0.831155 + 0.206171i
\(691\) 16.5377 16.5377i 0.629122 0.629122i −0.318725 0.947847i \(-0.603255\pi\)
0.947847 + 0.318725i \(0.103255\pi\)
\(692\) 7.43170 + 4.29069i 0.282511 + 0.163108i
\(693\) −1.95773 + 28.0876i −0.0743679 + 1.06696i
\(694\) 11.4809 11.4809i 0.435809 0.435809i
\(695\) −19.3023 + 5.17203i −0.732177 + 0.196186i
\(696\) −13.6741 7.55826i −0.518316 0.286495i
\(697\) −15.7195 + 4.21204i −0.595420 + 0.159542i
\(698\) 7.44572 + 4.29879i 0.281825 + 0.162712i
\(699\) −2.22912 + 8.98642i −0.0843130 + 0.339897i
\(700\) 1.12462 2.91081i 0.0425067 0.110018i
\(701\) −14.3867 −0.543379 −0.271689 0.962385i \(-0.587582\pi\)
−0.271689 + 0.962385i \(0.587582\pi\)
\(702\) −6.85040 17.4377i −0.258552 0.658142i
\(703\) 16.8977 29.2678i 0.637311 1.10385i
\(704\) −0.918106 + 3.42642i −0.0346024 + 0.129138i
\(705\) 37.5097 10.8044i 1.41270 0.406919i
\(706\) −23.9457 + 13.8250i −0.901207 + 0.520312i
\(707\) −9.02600 11.1959i −0.339458 0.421064i
\(708\) −0.327207 17.5398i −0.0122972 0.659186i
\(709\) −35.3193 + 9.46378i −1.32644 + 0.355420i −0.851388 0.524536i \(-0.824239\pi\)
−0.475056 + 0.879955i \(0.657572\pi\)
\(710\) −2.98063 11.1239i −0.111861 0.417472i
\(711\) −29.9963 + 18.8440i −1.12495 + 0.706704i
\(712\) 2.81890i 0.105643i
\(713\) 1.43078 + 5.33973i 0.0535830 + 0.199974i
\(714\) −2.00697 11.4473i −0.0751089 0.428405i
\(715\) 24.4749 + 5.09470i 0.915309 + 0.190531i
\(716\) −1.76722 + 1.02031i −0.0660441 + 0.0381306i
\(717\) −0.0812326 4.35444i −0.00303369 0.162620i
\(718\) 3.26340 + 5.65238i 0.121789 + 0.210945i
\(719\) −9.58652 + 16.6043i −0.357517 + 0.619238i −0.987545 0.157334i \(-0.949710\pi\)
0.630028 + 0.776572i \(0.283043\pi\)
\(720\) −5.71673 1.30537i −0.213050 0.0486484i
\(721\) 25.0625 20.2051i 0.933376 0.752478i
\(722\) −17.8303 4.77761i −0.663574 0.177804i
\(723\) −0.0247392 1.32613i −0.000920059 0.0493194i
\(724\) −3.77689 −0.140367
\(725\) −5.31958 9.21378i −0.197564 0.342191i
\(726\) 1.32661 2.40005i 0.0492350 0.0890741i
\(727\) 50.2236i 1.86269i 0.364138 + 0.931345i \(0.381364\pi\)
−0.364138 + 0.931345i \(0.618636\pi\)
\(728\) −9.07848 2.92936i −0.336471 0.108569i
\(729\) −3.01547 26.8311i −0.111684 0.993744i
\(730\) −14.8265 + 14.8265i −0.548754 + 0.548754i
\(731\) 11.2247 6.48057i 0.415160 0.239693i
\(732\) −5.37809 18.6710i −0.198780 0.690102i
\(733\) 28.7300 + 7.69817i 1.06117 + 0.284338i 0.746858 0.664983i \(-0.231561\pi\)
0.314307 + 0.949321i \(0.398228\pi\)
\(734\) 4.59499 17.1488i 0.169604 0.632972i
\(735\) −15.6039 + 17.8365i −0.575559 + 0.657909i
\(736\) 4.69822 + 4.69822i 0.173179 + 0.173179i
\(737\) −36.5944 21.1278i −1.34797 0.778251i
\(738\) −8.99690 + 17.0191i −0.331181 + 0.626482i
\(739\) 5.59057 20.8643i 0.205653 0.767506i −0.783597 0.621269i \(-0.786617\pi\)
0.989250 0.146236i \(-0.0467160\pi\)
\(740\) −5.39651 9.34702i −0.198380 0.343603i
\(741\) −37.5585 7.09000i −1.37975 0.260458i
\(742\) −6.02534 13.6127i −0.221197 0.499738i
\(743\) 35.6490 9.55213i 1.30784 0.350434i 0.463428 0.886134i \(-0.346619\pi\)
0.844408 + 0.535701i \(0.179952\pi\)
\(744\) −0.398876 1.38478i −0.0146235 0.0507683i
\(745\) 41.3230i 1.51396i
\(746\) −15.2918 + 4.09742i −0.559872 + 0.150017i
\(747\) −2.48111 + 2.67349i −0.0907790 + 0.0978180i
\(748\) −2.32842 + 8.68978i −0.0851354 + 0.317730i
\(749\) 2.89327 + 18.5281i 0.105718 + 0.677000i
\(750\) −15.0664 14.5146i −0.550148 0.529997i
\(751\) 14.7783i 0.539267i 0.962963 + 0.269633i \(0.0869025\pi\)
−0.962963 + 0.269633i \(0.913097\pi\)
\(752\) 11.1371 + 2.98417i 0.406127 + 0.108821i
\(753\) −3.50570 + 14.1328i −0.127755 + 0.515027i
\(754\) −27.2020 + 17.8285i −0.990639 + 0.649275i
\(755\) 4.66318i 0.169710i
\(756\) −11.5405 7.47112i −0.419723 0.271722i
\(757\) 10.7098 18.5499i 0.389255 0.674209i −0.603095 0.797669i \(-0.706066\pi\)
0.992349 + 0.123461i \(0.0393993\pi\)
\(758\) 3.48690 6.03948i 0.126650 0.219364i
\(759\) −21.0674 34.9670i −0.764699 1.26922i
\(760\) −8.45917 + 8.45917i −0.306847 + 0.306847i
\(761\) −7.86963 29.3698i −0.285274 1.06466i −0.948639 0.316360i \(-0.897539\pi\)
0.663365 0.748296i \(-0.269128\pi\)
\(762\) −10.7412 + 19.4326i −0.389113 + 0.703968i
\(763\) −8.84716 19.9879i −0.320289 0.723611i
\(764\) 4.95076 8.57497i 0.179112 0.310231i
\(765\) −14.4983 3.31057i −0.524186 0.119694i
\(766\) 29.0654 + 16.7809i 1.05018 + 0.606319i
\(767\) −32.6076 16.4419i −1.17739 0.593681i
\(768\) −1.24738 1.20169i −0.0450108 0.0433622i
\(769\) −4.68811 17.4963i −0.169058 0.630931i −0.997488 0.0708390i \(-0.977432\pi\)
0.828430 0.560092i \(-0.189234\pi\)
\(770\) 16.7748 7.42498i 0.604523 0.267578i
\(771\) −7.79498 7.50947i −0.280729 0.270447i
\(772\) 3.76999 + 1.01017i 0.135685 + 0.0363567i
\(773\) −19.1477 19.1477i −0.688694 0.688694i 0.273249 0.961943i \(-0.411902\pi\)
−0.961943 + 0.273249i \(0.911902\pi\)
\(774\)