Properties

Label 770.2.w.b.349.21
Level $770$
Weight $2$
Character 770.349
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 349.21
Character \(\chi\) \(=\) 770.349
Dual form 770.2.w.b.139.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 - 0.587785i) q^{2} +(0.732958 + 2.25581i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.464104 + 2.18737i) q^{5} +(1.91891 + 1.39417i) q^{6} +(1.96220 + 1.77476i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.12441 + 1.54347i) q^{9} +O(q^{10})\) \(q+(0.809017 - 0.587785i) q^{2} +(0.732958 + 2.25581i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.464104 + 2.18737i) q^{5} +(1.91891 + 1.39417i) q^{6} +(1.96220 + 1.77476i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.12441 + 1.54347i) q^{9} +(0.910238 + 2.04242i) q^{10} +(-2.63315 + 2.01656i) q^{11} +2.37190 q^{12} +(-0.478040 - 0.657965i) q^{13} +(2.63063 + 0.282464i) q^{14} +(-5.27447 + 0.556321i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.374125 + 0.514939i) q^{17} +(-0.811453 + 2.49739i) q^{18} +(0.231172 + 0.711476i) q^{19} +(1.93690 + 1.11733i) q^{20} +(-2.56533 + 5.72717i) q^{21} +(-0.944954 + 3.17916i) q^{22} -5.84039i q^{23} +(1.91891 - 1.39417i) q^{24} +(-4.56921 - 2.03034i) q^{25} +(-0.773484 - 0.251320i) q^{26} +(0.717833 + 0.521536i) q^{27} +(2.29425 - 1.31773i) q^{28} +(8.07009 + 2.62213i) q^{29} +(-3.94014 + 3.55033i) q^{30} +(-2.72989 - 3.75737i) q^{31} -1.00000 q^{32} +(-6.47898 - 4.46183i) q^{33} +0.636500i q^{34} +(-4.79274 + 3.46838i) q^{35} +(0.811453 + 2.49739i) q^{36} +(-3.85636 - 1.25301i) q^{37} +(0.605217 + 0.439716i) q^{38} +(1.13386 - 1.56063i) q^{39} +(2.22373 - 0.234546i) q^{40} +(0.693842 + 2.13543i) q^{41} +(1.29095 + 6.14124i) q^{42} +1.78702 q^{43} +(1.10418 + 3.12743i) q^{44} +(-2.39021 - 5.36321i) q^{45} +(-3.43289 - 4.72497i) q^{46} +(1.40295 + 4.31784i) q^{47} +(0.732958 - 2.25581i) q^{48} +(0.700426 + 6.96487i) q^{49} +(-4.88998 + 1.04314i) q^{50} +(-1.43582 - 0.466527i) q^{51} +(-0.773484 + 0.251320i) q^{52} +(1.23908 + 1.70545i) q^{53} +0.887291 q^{54} +(-3.18893 - 6.69558i) q^{55} +(1.08155 - 2.41459i) q^{56} +(-1.43552 + 1.04296i) q^{57} +(8.07009 - 2.62213i) q^{58} +(11.4455 + 3.71887i) q^{59} +(-1.10081 + 5.18824i) q^{60} +(9.48273 + 6.88961i) q^{61} +(-4.41705 - 1.43519i) q^{62} +(-6.90781 - 0.741728i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(1.66108 - 0.740287i) q^{65} +(-7.86420 + 0.198551i) q^{66} -7.11959i q^{67} +(0.374125 + 0.514939i) q^{68} +(13.1748 - 4.28076i) q^{69} +(-1.83874 + 5.62308i) q^{70} +(6.16231 + 4.47718i) q^{71} +(2.12441 + 1.54347i) q^{72} +(-9.50651 - 3.08885i) q^{73} +(-3.85636 + 1.25301i) q^{74} +(1.23103 - 11.7954i) q^{75} +0.748090 q^{76} +(-8.74568 - 0.716320i) q^{77} -1.92904i q^{78} +(-9.15919 - 12.6065i) q^{79} +(1.66117 - 1.49683i) q^{80} +(-3.08470 + 9.49374i) q^{81} +(1.81650 + 1.31977i) q^{82} +(4.36182 - 6.00353i) q^{83} +(4.65414 + 4.20956i) q^{84} +(-0.952731 - 1.05734i) q^{85} +(1.44573 - 1.05039i) q^{86} +20.1265i q^{87} +(2.73155 + 1.88112i) q^{88} +10.1872i q^{89} +(-5.08614 - 2.93400i) q^{90} +(0.229725 - 2.13946i) q^{91} +(-5.55454 - 1.80478i) q^{92} +(6.47503 - 8.91211i) q^{93} +(3.67298 + 2.66857i) q^{94} +(-1.66355 + 0.175462i) q^{95} +(-0.732958 - 2.25581i) q^{96} +(9.78252 - 7.10742i) q^{97} +(4.66050 + 5.22300i) q^{98} +(2.48137 - 8.34821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 0.587785i 0.572061 0.415627i
\(3\) 0.732958 + 2.25581i 0.423173 + 1.30239i 0.904733 + 0.425980i \(0.140071\pi\)
−0.481559 + 0.876414i \(0.659929\pi\)
\(4\) 0.309017 0.951057i 0.154508 0.475528i
\(5\) −0.464104 + 2.18737i −0.207554 + 0.978224i
\(6\) 1.91891 + 1.39417i 0.783391 + 0.569167i
\(7\) 1.96220 + 1.77476i 0.741640 + 0.670798i
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) −2.12441 + 1.54347i −0.708137 + 0.514492i
\(10\) 0.910238 + 2.04242i 0.287843 + 0.645869i
\(11\) −2.63315 + 2.01656i −0.793924 + 0.608017i
\(12\) 2.37190 0.684709
\(13\) −0.478040 0.657965i −0.132584 0.182487i 0.737563 0.675278i \(-0.235976\pi\)
−0.870147 + 0.492792i \(0.835976\pi\)
\(14\) 2.63063 + 0.282464i 0.703065 + 0.0754918i
\(15\) −5.27447 + 0.556321i −1.36186 + 0.143641i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) −0.374125 + 0.514939i −0.0907387 + 0.124891i −0.851973 0.523586i \(-0.824594\pi\)
0.761234 + 0.648477i \(0.224594\pi\)
\(18\) −0.811453 + 2.49739i −0.191261 + 0.588641i
\(19\) 0.231172 + 0.711476i 0.0530346 + 0.163224i 0.974066 0.226265i \(-0.0726516\pi\)
−0.921031 + 0.389489i \(0.872652\pi\)
\(20\) 1.93690 + 1.11733i 0.433104 + 0.249842i
\(21\) −2.56533 + 5.72717i −0.559800 + 1.24977i
\(22\) −0.944954 + 3.17916i −0.201465 + 0.677799i
\(23\) 5.84039i 1.21781i −0.793245 0.608903i \(-0.791610\pi\)
0.793245 0.608903i \(-0.208390\pi\)
\(24\) 1.91891 1.39417i 0.391696 0.284583i
\(25\) −4.56921 2.03034i −0.913843 0.406068i
\(26\) −0.773484 0.251320i −0.151693 0.0492880i
\(27\) 0.717833 + 0.521536i 0.138147 + 0.100370i
\(28\) 2.29425 1.31773i 0.433573 0.249027i
\(29\) 8.07009 + 2.62213i 1.49858 + 0.486918i 0.939603 0.342267i \(-0.111195\pi\)
0.558975 + 0.829184i \(0.311195\pi\)
\(30\) −3.94014 + 3.55033i −0.719368 + 0.648199i
\(31\) −2.72989 3.75737i −0.490303 0.674844i 0.490141 0.871643i \(-0.336945\pi\)
−0.980444 + 0.196799i \(0.936945\pi\)
\(32\) −1.00000 −0.176777
\(33\) −6.47898 4.46183i −1.12785 0.776705i
\(34\) 0.636500i 0.109159i
\(35\) −4.79274 + 3.46838i −0.810120 + 0.586263i
\(36\) 0.811453 + 2.49739i 0.135242 + 0.416232i
\(37\) −3.85636 1.25301i −0.633982 0.205993i −0.0256440 0.999671i \(-0.508164\pi\)
−0.608338 + 0.793678i \(0.708164\pi\)
\(38\) 0.605217 + 0.439716i 0.0981792 + 0.0713314i
\(39\) 1.13386 1.56063i 0.181563 0.249900i
\(40\) 2.22373 0.234546i 0.351603 0.0370850i
\(41\) 0.693842 + 2.13543i 0.108360 + 0.333498i 0.990504 0.137481i \(-0.0439007\pi\)
−0.882144 + 0.470979i \(0.843901\pi\)
\(42\) 1.29095 + 6.14124i 0.199199 + 0.947614i
\(43\) 1.78702 0.272519 0.136259 0.990673i \(-0.456492\pi\)
0.136259 + 0.990673i \(0.456492\pi\)
\(44\) 1.10418 + 3.12743i 0.166461 + 0.471477i
\(45\) −2.39021 5.36321i −0.356311 0.799501i
\(46\) −3.43289 4.72497i −0.506153 0.696659i
\(47\) 1.40295 + 4.31784i 0.204642 + 0.629822i 0.999728 + 0.0233258i \(0.00742551\pi\)
−0.795086 + 0.606496i \(0.792574\pi\)
\(48\) 0.732958 2.25581i 0.105793 0.325598i
\(49\) 0.700426 + 6.96487i 0.100061 + 0.994981i
\(50\) −4.88998 + 1.04314i −0.691547 + 0.147522i
\(51\) −1.43582 0.466527i −0.201056 0.0653269i
\(52\) −0.773484 + 0.251320i −0.107263 + 0.0348518i
\(53\) 1.23908 + 1.70545i 0.170201 + 0.234262i 0.885594 0.464461i \(-0.153752\pi\)
−0.715392 + 0.698723i \(0.753752\pi\)
\(54\) 0.887291 0.120745
\(55\) −3.18893 6.69558i −0.429995 0.902831i
\(56\) 1.08155 2.41459i 0.144528 0.322663i
\(57\) −1.43552 + 1.04296i −0.190139 + 0.138144i
\(58\) 8.07009 2.62213i 1.05965 0.344303i
\(59\) 11.4455 + 3.71887i 1.49008 + 0.484155i 0.937106 0.349046i \(-0.113494\pi\)
0.552970 + 0.833201i \(0.313494\pi\)
\(60\) −1.10081 + 5.18824i −0.142114 + 0.669798i
\(61\) 9.48273 + 6.88961i 1.21414 + 0.882124i 0.995600 0.0937040i \(-0.0298707\pi\)
0.218540 + 0.975828i \(0.429871\pi\)
\(62\) −4.41705 1.43519i −0.560966 0.182269i
\(63\) −6.90781 0.741728i −0.870303 0.0934489i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 1.66108 0.740287i 0.206031 0.0918213i
\(66\) −7.86420 + 0.198551i −0.968016 + 0.0244400i
\(67\) 7.11959i 0.869796i −0.900480 0.434898i \(-0.856784\pi\)
0.900480 0.434898i \(-0.143216\pi\)
\(68\) 0.374125 + 0.514939i 0.0453693 + 0.0624455i
\(69\) 13.1748 4.28076i 1.58606 0.515343i
\(70\) −1.83874 + 5.62308i −0.219772 + 0.672087i
\(71\) 6.16231 + 4.47718i 0.731331 + 0.531343i 0.889984 0.455991i \(-0.150715\pi\)
−0.158653 + 0.987334i \(0.550715\pi\)
\(72\) 2.12441 + 1.54347i 0.250364 + 0.181900i
\(73\) −9.50651 3.08885i −1.11265 0.361523i −0.305693 0.952130i \(-0.598888\pi\)
−0.806959 + 0.590607i \(0.798888\pi\)
\(74\) −3.85636 + 1.25301i −0.448293 + 0.145659i
\(75\) 1.23103 11.7954i 0.142147 1.36202i
\(76\) 0.748090 0.0858118
\(77\) −8.74568 0.716320i −0.996663 0.0816323i
\(78\) 1.92904i 0.218421i
\(79\) −9.15919 12.6065i −1.03049 1.41835i −0.904580 0.426305i \(-0.859815\pi\)
−0.125910 0.992042i \(-0.540185\pi\)
\(80\) 1.66117 1.49683i 0.185725 0.167351i
\(81\) −3.08470 + 9.49374i −0.342745 + 1.05486i
\(82\) 1.81650 + 1.31977i 0.200599 + 0.145744i
\(83\) 4.36182 6.00353i 0.478772 0.658973i −0.499496 0.866316i \(-0.666482\pi\)
0.978268 + 0.207343i \(0.0664815\pi\)
\(84\) 4.65414 + 4.20956i 0.507808 + 0.459301i
\(85\) −0.952731 1.05734i −0.103338 0.114684i
\(86\) 1.44573 1.05039i 0.155897 0.113266i
\(87\) 20.1265i 2.15779i
\(88\) 2.73155 + 1.88112i 0.291185 + 0.200528i
\(89\) 10.1872i 1.07984i 0.841717 + 0.539919i \(0.181545\pi\)
−0.841717 + 0.539919i \(0.818455\pi\)
\(90\) −5.08614 2.93400i −0.536126 0.309271i
\(91\) 0.229725 2.13946i 0.0240817 0.224277i
\(92\) −5.55454 1.80478i −0.579101 0.188161i
\(93\) 6.47503 8.91211i 0.671429 0.924143i
\(94\) 3.67298 + 2.66857i 0.378839 + 0.275242i
\(95\) −1.66355 + 0.175462i −0.170677 + 0.0180020i
\(96\) −0.732958 2.25581i −0.0748072 0.230233i
\(97\) 9.78252 7.10742i 0.993264 0.721649i 0.0326308 0.999467i \(-0.489611\pi\)
0.960634 + 0.277819i \(0.0896115\pi\)
\(98\) 4.66050 + 5.22300i 0.470782 + 0.527602i
\(99\) 2.48137 8.34821i 0.249387 0.839026i
\(100\) −3.34293 + 3.71817i −0.334293 + 0.371817i
\(101\) −1.69439 + 1.23104i −0.168598 + 0.122493i −0.668884 0.743366i \(-0.733228\pi\)
0.500287 + 0.865860i \(0.333228\pi\)
\(102\) −1.43582 + 0.466527i −0.142168 + 0.0461931i
\(103\) 3.03083 9.32794i 0.298637 0.919110i −0.683339 0.730101i \(-0.739473\pi\)
0.981976 0.189008i \(-0.0605272\pi\)
\(104\) −0.478040 + 0.657965i −0.0468756 + 0.0645188i
\(105\) −11.3369 8.26934i −1.10637 0.807005i
\(106\) 2.00488 + 0.651425i 0.194731 + 0.0632720i
\(107\) −0.172623 0.531279i −0.0166881 0.0513607i 0.942366 0.334585i \(-0.108596\pi\)
−0.959054 + 0.283224i \(0.908596\pi\)
\(108\) 0.717833 0.521536i 0.0690735 0.0501849i
\(109\) 2.34499i 0.224609i −0.993674 0.112305i \(-0.964177\pi\)
0.993674 0.112305i \(-0.0358232\pi\)
\(110\) −6.51546 3.54243i −0.621224 0.337758i
\(111\) 9.61764i 0.912866i
\(112\) −0.544270 2.58916i −0.0514287 0.244653i
\(113\) 8.21206 2.66826i 0.772526 0.251009i 0.103880 0.994590i \(-0.466874\pi\)
0.668646 + 0.743581i \(0.266874\pi\)
\(114\) −0.548318 + 1.68755i −0.0513547 + 0.158054i
\(115\) 12.7751 + 2.71055i 1.19129 + 0.252760i
\(116\) 4.98759 6.86483i 0.463086 0.637383i
\(117\) 2.03110 + 0.659946i 0.187776 + 0.0610120i
\(118\) 11.4455 3.71887i 1.05364 0.342349i
\(119\) −1.64800 + 0.346428i −0.151072 + 0.0317570i
\(120\) 2.15899 + 4.84441i 0.197088 + 0.442232i
\(121\) 2.86693 10.6198i 0.260630 0.965439i
\(122\) 11.7213 1.06120
\(123\) −4.30856 + 3.13036i −0.388490 + 0.282255i
\(124\) −4.41705 + 1.43519i −0.396663 + 0.128884i
\(125\) 6.56171 9.05229i 0.586897 0.809662i
\(126\) −6.02451 + 3.46024i −0.536706 + 0.308263i
\(127\) 3.94559 + 2.86664i 0.350115 + 0.254373i 0.748917 0.662664i \(-0.230574\pi\)
−0.398802 + 0.917037i \(0.630574\pi\)
\(128\) −0.309017 + 0.951057i −0.0273135 + 0.0840623i
\(129\) 1.30981 + 4.03119i 0.115323 + 0.354927i
\(130\) 0.908709 1.57526i 0.0796990 0.138160i
\(131\) −12.5690 −1.09816 −0.549081 0.835769i \(-0.685022\pi\)
−0.549081 + 0.835769i \(0.685022\pi\)
\(132\) −6.24557 + 4.78309i −0.543607 + 0.416315i
\(133\) −0.809096 + 1.80633i −0.0701575 + 0.156629i
\(134\) −4.18479 5.75987i −0.361511 0.497577i
\(135\) −1.47395 + 1.32812i −0.126857 + 0.114307i
\(136\) 0.605347 + 0.196689i 0.0519081 + 0.0168660i
\(137\) 12.0558 16.5933i 1.02999 1.41766i 0.125039 0.992152i \(-0.460094\pi\)
0.904953 0.425511i \(-0.139906\pi\)
\(138\) 8.14249 11.2072i 0.693135 0.954018i
\(139\) −1.58657 + 4.88296i −0.134571 + 0.414168i −0.995523 0.0945189i \(-0.969869\pi\)
0.860952 + 0.508686i \(0.169869\pi\)
\(140\) 1.81759 + 5.62995i 0.153614 + 0.475818i
\(141\) −8.71194 + 6.32959i −0.733678 + 0.533048i
\(142\) 7.61703 0.639207
\(143\) 2.58558 + 0.768521i 0.216217 + 0.0642670i
\(144\) 2.62592 0.218826
\(145\) −9.48095 + 16.4354i −0.787350 + 1.36488i
\(146\) −9.50651 + 3.08885i −0.786764 + 0.255635i
\(147\) −15.1981 + 6.68498i −1.25351 + 0.551368i
\(148\) −2.38336 + 3.28042i −0.195911 + 0.269649i
\(149\) 6.72048 9.24994i 0.550563 0.757785i −0.439526 0.898230i \(-0.644853\pi\)
0.990088 + 0.140445i \(0.0448534\pi\)
\(150\) −5.93727 10.2663i −0.484776 0.838239i
\(151\) 1.93498 0.628714i 0.157467 0.0511640i −0.229223 0.973374i \(-0.573618\pi\)
0.386690 + 0.922210i \(0.373618\pi\)
\(152\) 0.605217 0.439716i 0.0490896 0.0356657i
\(153\) 1.67139i 0.135124i
\(154\) −7.49644 + 4.56107i −0.604081 + 0.367541i
\(155\) 9.48573 4.22748i 0.761912 0.339559i
\(156\) −1.13386 1.56063i −0.0907817 0.124950i
\(157\) 1.25232 + 3.85425i 0.0999461 + 0.307602i 0.988511 0.151148i \(-0.0482971\pi\)
−0.888565 + 0.458751i \(0.848297\pi\)
\(158\) −14.8199 4.81527i −1.17901 0.383082i
\(159\) −2.93899 + 4.04517i −0.233077 + 0.320803i
\(160\) 0.464104 2.18737i 0.0366907 0.172927i
\(161\) 10.3653 11.4600i 0.816901 0.903174i
\(162\) 3.08470 + 9.49374i 0.242357 + 0.745899i
\(163\) −9.76479 13.4401i −0.764837 1.05271i −0.996796 0.0799827i \(-0.974513\pi\)
0.231959 0.972726i \(-0.425487\pi\)
\(164\) 2.24532 0.175330
\(165\) 12.7666 12.1012i 0.993880 0.942077i
\(166\) 7.42077i 0.575964i
\(167\) −1.66365 2.28982i −0.128737 0.177192i 0.739783 0.672846i \(-0.234928\pi\)
−0.868520 + 0.495654i \(0.834928\pi\)
\(168\) 6.23959 + 0.669978i 0.481395 + 0.0516899i
\(169\) 3.81282 11.7347i 0.293294 0.902667i
\(170\) −1.39226 0.295402i −0.106782 0.0226563i
\(171\) −1.58925 1.15466i −0.121533 0.0882989i
\(172\) 0.552221 1.69956i 0.0421065 0.129590i
\(173\) −19.9440 + 6.48021i −1.51632 + 0.492681i −0.944727 0.327859i \(-0.893673\pi\)
−0.571589 + 0.820540i \(0.693673\pi\)
\(174\) 11.8301 + 16.2827i 0.896835 + 1.23439i
\(175\) −5.36232 12.0932i −0.405353 0.914160i
\(176\) 3.31557 0.0837098i 0.249920 0.00630987i
\(177\) 28.5447i 2.14555i
\(178\) 5.98787 + 8.24159i 0.448809 + 0.617733i
\(179\) 0.393228 + 1.21023i 0.0293912 + 0.0904570i 0.964676 0.263439i \(-0.0848567\pi\)
−0.935285 + 0.353896i \(0.884857\pi\)
\(180\) −5.83934 + 0.615899i −0.435238 + 0.0459064i
\(181\) −3.21681 + 4.42756i −0.239103 + 0.329098i −0.911658 0.410950i \(-0.865197\pi\)
0.672554 + 0.740048i \(0.265197\pi\)
\(182\) −1.07169 1.86589i −0.0794392 0.138309i
\(183\) −8.59122 + 26.4411i −0.635081 + 1.95458i
\(184\) −5.55454 + 1.80478i −0.409486 + 0.133050i
\(185\) 4.53056 7.85379i 0.333093 0.577422i
\(186\) 11.0160i 0.807731i
\(187\) −0.0532813 2.11036i −0.00389631 0.154325i
\(188\) 4.54005 0.331117
\(189\) 0.482926 + 2.29734i 0.0351277 + 0.167107i
\(190\) −1.24271 + 1.11976i −0.0901555 + 0.0812361i
\(191\) −2.75958 + 8.49313i −0.199676 + 0.614541i 0.800214 + 0.599715i \(0.204719\pi\)
−0.999890 + 0.0148259i \(0.995281\pi\)
\(192\) −1.91891 1.39417i −0.138485 0.100615i
\(193\) 17.0889 + 12.4158i 1.23008 + 0.893709i 0.996897 0.0787231i \(-0.0250843\pi\)
0.233188 + 0.972432i \(0.425084\pi\)
\(194\) 3.73659 11.5000i 0.268272 0.825655i
\(195\) 2.88745 + 3.20448i 0.206774 + 0.229477i
\(196\) 6.84043 + 1.48612i 0.488602 + 0.106151i
\(197\) 13.6474 0.972338 0.486169 0.873865i \(-0.338394\pi\)
0.486169 + 0.873865i \(0.338394\pi\)
\(198\) −2.89948 8.21235i −0.206057 0.583627i
\(199\) 5.76658i 0.408782i 0.978889 + 0.204391i \(0.0655214\pi\)
−0.978889 + 0.204391i \(0.934479\pi\)
\(200\) −0.519004 + 4.97299i −0.0366991 + 0.351644i
\(201\) 16.0605 5.21836i 1.13282 0.368075i
\(202\) −0.647198 + 1.99187i −0.0455367 + 0.140147i
\(203\) 11.1814 + 19.4676i 0.784783 + 1.36636i
\(204\) −0.887388 + 1.22138i −0.0621296 + 0.0855140i
\(205\) −4.99299 + 0.526632i −0.348726 + 0.0367816i
\(206\) −3.03083 9.32794i −0.211168 0.649909i
\(207\) 9.01449 + 12.4074i 0.626551 + 0.862373i
\(208\) 0.813289i 0.0563915i
\(209\) −2.04345 1.40725i −0.141348 0.0973413i
\(210\) −14.0323 0.0263768i −0.968323 0.00182017i
\(211\) −12.6807 17.4535i −0.872974 1.20155i −0.978318 0.207110i \(-0.933594\pi\)
0.105343 0.994436i \(-0.466406\pi\)
\(212\) 2.00488 0.651425i 0.137696 0.0447401i
\(213\) −5.58296 + 17.1826i −0.382538 + 1.17733i
\(214\) −0.451933 0.328349i −0.0308935 0.0224455i
\(215\) −0.829366 + 3.90889i −0.0565623 + 0.266584i
\(216\) 0.274188 0.843864i 0.0186561 0.0574177i
\(217\) 1.31187 12.2176i 0.0890554 0.829385i
\(218\) −1.37835 1.89714i −0.0933537 0.128490i
\(219\) 23.7089i 1.60210i
\(220\) −7.35330 + 0.963803i −0.495760 + 0.0649796i
\(221\) 0.517658 0.0348215
\(222\) −5.65311 7.78083i −0.379412 0.522215i
\(223\) −4.89906 15.0778i −0.328065 1.00968i −0.970038 0.242954i \(-0.921884\pi\)
0.641972 0.766728i \(-0.278116\pi\)
\(224\) −1.96220 1.77476i −0.131105 0.118581i
\(225\) 12.8407 2.73919i 0.856044 0.182613i
\(226\) 5.07533 6.98560i 0.337606 0.464675i
\(227\) −14.1957 4.61246i −0.942201 0.306140i −0.202658 0.979250i \(-0.564958\pi\)
−0.739542 + 0.673110i \(0.764958\pi\)
\(228\) 0.548318 + 1.68755i 0.0363133 + 0.111761i
\(229\) 12.7501 + 17.5490i 0.842548 + 1.15967i 0.985456 + 0.169932i \(0.0543549\pi\)
−0.142907 + 0.989736i \(0.545645\pi\)
\(230\) 11.9285 5.31615i 0.786543 0.350536i
\(231\) −4.79433 20.2536i −0.315444 1.33259i
\(232\) 8.48540i 0.557094i
\(233\) −20.8110 + 15.1201i −1.36338 + 0.990550i −0.365153 + 0.930948i \(0.618983\pi\)
−0.998222 + 0.0596025i \(0.981017\pi\)
\(234\) 2.03110 0.659946i 0.132777 0.0431420i
\(235\) −10.0959 + 1.06485i −0.658581 + 0.0694633i
\(236\) 7.07370 9.73612i 0.460459 0.633767i
\(237\) 21.7247 29.9015i 1.41117 1.94231i
\(238\) −1.12964 + 1.24894i −0.0732235 + 0.0809566i
\(239\) −7.45527 + 2.42237i −0.482242 + 0.156690i −0.540041 0.841638i \(-0.681591\pi\)
0.0577999 + 0.998328i \(0.481591\pi\)
\(240\) 4.59414 + 2.65019i 0.296550 + 0.171069i
\(241\) −30.5782 −1.96971 −0.984856 0.173373i \(-0.944533\pi\)
−0.984856 + 0.173373i \(0.944533\pi\)
\(242\) −3.92278 10.2768i −0.252166 0.660615i
\(243\) −21.0152 −1.34813
\(244\) 9.48273 6.88961i 0.607070 0.441062i
\(245\) −15.5598 1.70033i −0.994082 0.108630i
\(246\) −1.64573 + 5.06502i −0.104928 + 0.322934i
\(247\) 0.357616 0.492217i 0.0227546 0.0313190i
\(248\) −2.72989 + 3.75737i −0.173348 + 0.238593i
\(249\) 16.7399 + 5.43911i 1.06085 + 0.344690i
\(250\) −0.0122717 11.1803i −0.000776128 0.707106i
\(251\) −2.29582 3.15992i −0.144911 0.199452i 0.730392 0.683029i \(-0.239338\pi\)
−0.875302 + 0.483576i \(0.839338\pi\)
\(252\) −2.84006 + 6.34051i −0.178907 + 0.399415i
\(253\) 11.7775 + 15.3786i 0.740447 + 0.966845i
\(254\) 4.87702 0.306012
\(255\) 1.68684 2.92417i 0.105634 0.183118i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 6.06728 18.6732i 0.378466 1.16480i −0.562644 0.826699i \(-0.690216\pi\)
0.941110 0.338100i \(-0.109784\pi\)
\(258\) 3.42914 + 2.49141i 0.213489 + 0.155109i
\(259\) −5.34315 9.30279i −0.332007 0.578047i
\(260\) −0.190754 1.80854i −0.0118301 0.112161i
\(261\) −21.1914 + 6.88550i −1.31171 + 0.426202i
\(262\) −10.1686 + 7.38790i −0.628216 + 0.456426i
\(263\) −19.3898 −1.19563 −0.597814 0.801634i \(-0.703964\pi\)
−0.597814 + 0.801634i \(0.703964\pi\)
\(264\) −2.24134 + 7.54065i −0.137945 + 0.464095i
\(265\) −4.30553 + 1.91883i −0.264487 + 0.117873i
\(266\) 0.407163 + 1.93693i 0.0249647 + 0.118761i
\(267\) −22.9803 + 7.46676i −1.40637 + 0.456958i
\(268\) −6.77113 2.20007i −0.413613 0.134391i
\(269\) 17.4834 24.0639i 1.06598 1.46720i 0.191909 0.981413i \(-0.438532\pi\)
0.874076 0.485789i \(-0.161468\pi\)
\(270\) −0.411796 + 1.94084i −0.0250611 + 0.118116i
\(271\) 0.613137 1.88704i 0.0372454 0.114630i −0.930705 0.365770i \(-0.880806\pi\)
0.967951 + 0.251141i \(0.0808056\pi\)
\(272\) 0.605347 0.196689i 0.0367046 0.0119260i
\(273\) 4.99461 1.04992i 0.302287 0.0635440i
\(274\) 20.5105i 1.23908i
\(275\) 16.1257 3.86793i 0.972418 0.233245i
\(276\) 13.8528i 0.833842i
\(277\) 17.8717 12.9845i 1.07380 0.780165i 0.0972125 0.995264i \(-0.469007\pi\)
0.976592 + 0.215099i \(0.0690073\pi\)
\(278\) 1.58657 + 4.88296i 0.0951562 + 0.292861i
\(279\) 11.5988 + 3.76868i 0.694403 + 0.225625i
\(280\) 4.77966 + 3.48638i 0.285640 + 0.208351i
\(281\) −14.5120 + 19.9741i −0.865716 + 1.19156i 0.114460 + 0.993428i \(0.463486\pi\)
−0.980176 + 0.198128i \(0.936514\pi\)
\(282\) −3.32766 + 10.2415i −0.198160 + 0.609872i
\(283\) −19.4605 + 6.32311i −1.15681 + 0.375870i −0.823704 0.567020i \(-0.808096\pi\)
−0.333105 + 0.942890i \(0.608096\pi\)
\(284\) 6.16231 4.47718i 0.365666 0.265672i
\(285\) −1.61512 3.62405i −0.0956716 0.214670i
\(286\) 2.54350 0.898018i 0.150400 0.0531009i
\(287\) −2.42842 + 5.42153i −0.143345 + 0.320023i
\(288\) 2.12441 1.54347i 0.125182 0.0909501i
\(289\) 5.12810 + 15.7827i 0.301653 + 0.928392i
\(290\) 1.99022 + 18.8693i 0.116870 + 1.10804i
\(291\) 23.2032 + 16.8581i 1.36019 + 0.988239i
\(292\) −5.87534 + 8.08672i −0.343829 + 0.473239i
\(293\) 13.3177 + 4.32720i 0.778031 + 0.252798i 0.670999 0.741458i \(-0.265865\pi\)
0.107032 + 0.994256i \(0.465865\pi\)
\(294\) −8.36615 + 14.3415i −0.487924 + 0.836411i
\(295\) −13.4465 + 23.3096i −0.782883 + 1.35714i
\(296\) 4.05482i 0.235682i
\(297\) −2.94187 + 0.0742750i −0.170705 + 0.00430987i
\(298\) 11.4336i 0.662328i
\(299\) −3.84277 + 2.79194i −0.222233 + 0.161462i
\(300\) −10.8377 4.81577i −0.625716 0.278038i
\(301\) 3.50649 + 3.17155i 0.202111 + 0.182805i
\(302\) 1.19589 1.64599i 0.0688155 0.0947164i
\(303\) −4.01892 2.91991i −0.230881 0.167745i
\(304\) 0.231172 0.711476i 0.0132586 0.0408059i
\(305\) −19.4711 + 17.5448i −1.11491 + 1.00461i
\(306\) −0.982421 1.35219i −0.0561613 0.0772993i
\(307\) 19.9751i 1.14004i −0.821630 0.570021i \(-0.806935\pi\)
0.821630 0.570021i \(-0.193065\pi\)
\(308\) −3.38382 + 8.09628i −0.192811 + 0.461328i
\(309\) 23.2636 1.32342
\(310\) 5.18927 8.99567i 0.294731 0.510920i
\(311\) −29.0709 + 9.44572i −1.64846 + 0.535618i −0.978406 0.206693i \(-0.933730\pi\)
−0.670056 + 0.742310i \(0.733730\pi\)
\(312\) −1.83463 0.596107i −0.103865 0.0337479i
\(313\) −8.35933 6.07341i −0.472497 0.343289i 0.325917 0.945399i \(-0.394327\pi\)
−0.798414 + 0.602109i \(0.794327\pi\)
\(314\) 3.27862 + 2.38206i 0.185023 + 0.134427i
\(315\) 4.82838 14.7657i 0.272049 0.831955i
\(316\) −14.8199 + 4.81527i −0.833683 + 0.270880i
\(317\) −1.53946 2.11889i −0.0864649 0.119009i 0.763593 0.645698i \(-0.223433\pi\)
−0.850058 + 0.526689i \(0.823433\pi\)
\(318\) 5.00010i 0.280392i
\(319\) −26.5374 + 9.36940i −1.48581 + 0.524586i
\(320\) −0.910238 2.04242i −0.0508839 0.114175i
\(321\) 1.07194 0.778811i 0.0598299 0.0434690i
\(322\) 1.64970 15.3639i 0.0919343 0.856197i
\(323\) −0.452854 0.147141i −0.0251975 0.00818715i
\(324\) 8.07586 + 5.86746i 0.448659 + 0.325970i
\(325\) 0.848372 + 3.97697i 0.0470592 + 0.220602i
\(326\) −15.7998 5.13365i −0.875068 0.284327i
\(327\) 5.28986 1.71878i 0.292530 0.0950487i
\(328\) 1.81650 1.31977i 0.100300 0.0728719i
\(329\) −4.91028 + 10.9624i −0.270713 + 0.604375i
\(330\) 3.21550 17.2941i 0.177008 0.952009i
\(331\) 9.65619 0.530752 0.265376 0.964145i \(-0.414504\pi\)
0.265376 + 0.964145i \(0.414504\pi\)
\(332\) −4.36182 6.00353i −0.239386 0.329487i
\(333\) 10.1265 3.29030i 0.554928 0.180307i
\(334\) −2.69185 0.874634i −0.147291 0.0478578i
\(335\) 15.5732 + 3.30423i 0.850855 + 0.180530i
\(336\) 5.44174 3.12552i 0.296871 0.170511i
\(337\) 6.71481 20.6661i 0.365779 1.12575i −0.583713 0.811960i \(-0.698401\pi\)
0.949492 0.313792i \(-0.101599\pi\)
\(338\) −3.81282 11.7347i −0.207390 0.638282i
\(339\) 12.0382 + 16.5691i 0.653825 + 0.899913i
\(340\) −1.30000 + 0.579366i −0.0705023 + 0.0314205i
\(341\) 14.7652 + 4.38871i 0.799580 + 0.237662i
\(342\) −1.96442 −0.106224
\(343\) −10.9866 + 14.9095i −0.593222 + 0.805039i
\(344\) −0.552221 1.69956i −0.0297738 0.0916342i
\(345\) 3.24913 + 30.8050i 0.174927 + 1.65848i
\(346\) −12.3261 + 16.9654i −0.662654 + 0.912066i
\(347\) 5.89044 + 4.27966i 0.316216 + 0.229744i 0.734559 0.678545i \(-0.237389\pi\)
−0.418343 + 0.908289i \(0.637389\pi\)
\(348\) 19.1415 + 6.21944i 1.02609 + 0.333397i
\(349\) 3.04276 + 9.36466i 0.162875 + 0.501279i 0.998873 0.0474536i \(-0.0151106\pi\)
−0.835998 + 0.548732i \(0.815111\pi\)
\(350\) −11.4464 6.63171i −0.611837 0.354480i
\(351\) 0.721624i 0.0385175i
\(352\) 2.63315 2.01656i 0.140347 0.107483i
\(353\) 7.84044 0.417305 0.208652 0.977990i \(-0.433092\pi\)
0.208652 + 0.977990i \(0.433092\pi\)
\(354\) 16.7781 + 23.0931i 0.891747 + 1.22738i
\(355\) −12.6532 + 11.4014i −0.671563 + 0.605123i
\(356\) 9.68857 + 3.14801i 0.513493 + 0.166844i
\(357\) −1.98939 3.46367i −0.105290 0.183317i
\(358\) 1.02948 + 0.747964i 0.0544099 + 0.0395311i
\(359\) 32.5863 + 10.5879i 1.71984 + 0.558809i 0.991921 0.126855i \(-0.0404884\pi\)
0.727917 + 0.685665i \(0.240488\pi\)
\(360\) −4.36211 + 3.93055i −0.229903 + 0.207158i
\(361\) 14.9186 10.8390i 0.785188 0.570472i
\(362\) 5.47276i 0.287642i
\(363\) 26.0577 1.31662i 1.36767 0.0691047i
\(364\) −1.96376 0.879612i −0.102929 0.0461042i
\(365\) 11.1685 19.3607i 0.584585 1.01339i
\(366\) 8.59122 + 26.4411i 0.449070 + 1.38210i
\(367\) −8.93956 + 27.5131i −0.466641 + 1.43617i 0.390266 + 0.920702i \(0.372383\pi\)
−0.856907 + 0.515472i \(0.827617\pi\)
\(368\) −3.43289 + 4.72497i −0.178952 + 0.246306i
\(369\) −4.76998 3.46559i −0.248315 0.180412i
\(370\) −0.951044 9.01684i −0.0494424 0.468763i
\(371\) −0.595451 + 5.54552i −0.0309143 + 0.287909i
\(372\) −6.47503 8.91211i −0.335715 0.462072i
\(373\) −25.7514 −1.33336 −0.666678 0.745346i \(-0.732285\pi\)
−0.666678 + 0.745346i \(0.732285\pi\)
\(374\) −1.28354 1.67600i −0.0663704 0.0866638i
\(375\) 25.2297 + 8.16703i 1.30286 + 0.421744i
\(376\) 3.67298 2.66857i 0.189419 0.137621i
\(377\) −2.13255 6.56332i −0.109832 0.338028i
\(378\) 1.74104 + 1.57473i 0.0895494 + 0.0809955i
\(379\) −9.34352 6.78846i −0.479944 0.348700i 0.321360 0.946957i \(-0.395860\pi\)
−0.801304 + 0.598257i \(0.795860\pi\)
\(380\) −0.347192 + 1.63635i −0.0178106 + 0.0839431i
\(381\) −3.57465 + 11.0016i −0.183135 + 0.563631i
\(382\) 2.75958 + 8.49313i 0.141193 + 0.434546i
\(383\) 7.03306 5.10982i 0.359373 0.261100i −0.393418 0.919360i \(-0.628707\pi\)
0.752790 + 0.658260i \(0.228707\pi\)
\(384\) −2.37190 −0.121041
\(385\) 5.62577 18.7976i 0.286716 0.958016i
\(386\) 21.1230 1.07513
\(387\) −3.79637 + 2.75823i −0.192981 + 0.140209i
\(388\) −3.73659 11.5000i −0.189697 0.583826i
\(389\) −8.02071 + 24.6852i −0.406666 + 1.25159i 0.512830 + 0.858490i \(0.328597\pi\)
−0.919496 + 0.393100i \(0.871403\pi\)
\(390\) 4.21954 + 0.895277i 0.213665 + 0.0453341i
\(391\) 3.00744 + 2.18504i 0.152093 + 0.110502i
\(392\) 6.40754 2.81841i 0.323630 0.142351i
\(393\) −9.21258 28.3534i −0.464713 1.43024i
\(394\) 11.0410 8.02175i 0.556237 0.404130i
\(395\) 31.8260 14.1838i 1.60134 0.713666i
\(396\) −7.17283 4.93966i −0.360448 0.248227i
\(397\) 16.6671 0.836496 0.418248 0.908333i \(-0.362644\pi\)
0.418248 + 0.908333i \(0.362644\pi\)
\(398\) 3.38951 + 4.66526i 0.169901 + 0.233848i
\(399\) −4.66778 0.501203i −0.233681 0.0250916i
\(400\) 2.50317 + 4.32830i 0.125158 + 0.216415i
\(401\) 17.5610 + 12.7588i 0.876956 + 0.637146i 0.932444 0.361314i \(-0.117672\pi\)
−0.0554885 + 0.998459i \(0.517672\pi\)
\(402\) 9.92591 13.6618i 0.495059 0.681391i
\(403\) −1.16722 + 3.59234i −0.0581435 + 0.178947i
\(404\) 0.647198 + 1.99187i 0.0321993 + 0.0990992i
\(405\) −19.3347 11.1535i −0.960751 0.554222i
\(406\) 20.4888 + 9.17737i 1.01684 + 0.455465i
\(407\) 12.6812 4.47725i 0.628581 0.221929i
\(408\) 1.50971i 0.0747420i
\(409\) −0.708496 + 0.514752i −0.0350329 + 0.0254529i −0.605164 0.796101i \(-0.706892\pi\)
0.570131 + 0.821554i \(0.306892\pi\)
\(410\) −3.72987 + 3.36086i −0.184205 + 0.165981i
\(411\) 46.2678 + 15.0333i 2.28222 + 0.741539i
\(412\) −7.93482 5.76499i −0.390921 0.284020i
\(413\) 15.8582 + 27.6102i 0.780330 + 1.35861i
\(414\) 14.5858 + 4.73920i 0.716851 + 0.232919i
\(415\) 11.1076 + 12.3272i 0.545252 + 0.605119i
\(416\) 0.478040 + 0.657965i 0.0234378 + 0.0322594i
\(417\) −12.1779 −0.596356
\(418\) −2.48034 + 0.0626225i −0.121318 + 0.00306297i
\(419\) 13.9264i 0.680349i 0.940362 + 0.340174i \(0.110486\pi\)
−0.940362 + 0.340174i \(0.889514\pi\)
\(420\) −11.3679 + 8.22666i −0.554697 + 0.401420i
\(421\) −5.40865 16.6461i −0.263601 0.811282i −0.992012 0.126141i \(-0.959741\pi\)
0.728411 0.685140i \(-0.240259\pi\)
\(422\) −20.5178 6.66663i −0.998790 0.324526i
\(423\) −9.64493 7.00745i −0.468952 0.340714i
\(424\) 1.23908 1.70545i 0.0601753 0.0828242i
\(425\) 2.75496 1.59327i 0.133635 0.0772847i
\(426\) 5.58296 + 17.1826i 0.270495 + 0.832499i
\(427\) 6.37955 + 30.3484i 0.308728 + 1.46866i
\(428\) −0.558620 −0.0270019
\(429\) 0.161480 + 6.39587i 0.00779632 + 0.308796i
\(430\) 1.62662 + 3.64985i 0.0784425 + 0.176011i
\(431\) 2.46504 + 3.39284i 0.118737 + 0.163427i 0.864248 0.503066i \(-0.167795\pi\)
−0.745511 + 0.666493i \(0.767795\pi\)
\(432\) −0.274188 0.843864i −0.0131919 0.0406004i
\(433\) −3.34165 + 10.2845i −0.160589 + 0.494243i −0.998684 0.0512812i \(-0.983670\pi\)
0.838095 + 0.545525i \(0.183670\pi\)
\(434\) −6.12001 10.6553i −0.293770 0.511473i
\(435\) −44.0242 9.34081i −2.11080 0.447857i
\(436\) −2.23022 0.724642i −0.106808 0.0347040i
\(437\) 4.15530 1.35014i 0.198775 0.0645858i
\(438\) −13.9357 19.1809i −0.665875 0.916499i
\(439\) −6.91580 −0.330073 −0.165037 0.986287i \(-0.552774\pi\)
−0.165037 + 0.986287i \(0.552774\pi\)
\(440\) −5.38244 + 5.10190i −0.256598 + 0.243223i
\(441\) −12.2381 13.7152i −0.582766 0.653102i
\(442\) 0.418794 0.304272i 0.0199200 0.0144727i
\(443\) 20.7098 6.72901i 0.983950 0.319705i 0.227516 0.973774i \(-0.426940\pi\)
0.756434 + 0.654069i \(0.226940\pi\)
\(444\) −9.14692 2.97201i −0.434093 0.141046i
\(445\) −22.2831 4.72791i −1.05632 0.224124i
\(446\) −12.8259 9.31857i −0.607324 0.441247i
\(447\) 25.7920 + 8.38032i 1.21992 + 0.396375i
\(448\) −2.63063 0.282464i −0.124286 0.0133452i
\(449\) −17.2079 + 12.5023i −0.812091 + 0.590018i −0.914436 0.404730i \(-0.867365\pi\)
0.102345 + 0.994749i \(0.467365\pi\)
\(450\) 8.77826 9.76360i 0.413811 0.460261i
\(451\) −6.13321 4.22372i −0.288802 0.198887i
\(452\) 8.63467i 0.406141i
\(453\) 2.83652 + 3.90414i 0.133271 + 0.183432i
\(454\) −14.1957 + 4.61246i −0.666236 + 0.216473i
\(455\) 4.57319 + 1.49543i 0.214395 + 0.0701068i
\(456\) 1.43552 + 1.04296i 0.0672242 + 0.0488412i
\(457\) −6.90983 5.02029i −0.323228 0.234839i 0.414323 0.910130i \(-0.364018\pi\)
−0.737552 + 0.675291i \(0.764018\pi\)
\(458\) 20.6300 + 6.70311i 0.963979 + 0.313216i
\(459\) −0.537119 + 0.174521i −0.0250706 + 0.00814592i
\(460\) 6.52562 11.3123i 0.304258 0.527437i
\(461\) 13.2900 0.618978 0.309489 0.950903i \(-0.399842\pi\)
0.309489 + 0.950903i \(0.399842\pi\)
\(462\) −15.7835 13.5675i −0.734314 0.631217i
\(463\) 22.8521i 1.06203i 0.847363 + 0.531015i \(0.178189\pi\)
−0.847363 + 0.531015i \(0.821811\pi\)
\(464\) −4.98759 6.86483i −0.231543 0.318692i
\(465\) 16.4890 + 18.2995i 0.764661 + 0.848617i
\(466\) −7.94910 + 24.4648i −0.368235 + 1.13331i
\(467\) −21.1191 15.3439i −0.977275 0.710032i −0.0201767 0.999796i \(-0.506423\pi\)
−0.957098 + 0.289765i \(0.906423\pi\)
\(468\) 1.25529 1.72776i 0.0580259 0.0798658i
\(469\) 12.6356 13.9700i 0.583457 0.645076i
\(470\) −7.54181 + 6.79568i −0.347878 + 0.313461i
\(471\) −7.77656 + 5.65000i −0.358325 + 0.260338i
\(472\) 12.0345i 0.553933i
\(473\) −4.70550 + 3.60365i −0.216359 + 0.165696i
\(474\) 36.9603i 1.69764i
\(475\) 0.388261 3.72024i 0.0178146 0.170696i
\(476\) −0.179788 + 1.67439i −0.00824059 + 0.0767458i
\(477\) −5.26465 1.71059i −0.241052 0.0783225i
\(478\) −4.60761 + 6.34184i −0.210747 + 0.290069i
\(479\) −10.9775 7.97561i −0.501574 0.364415i 0.308044 0.951372i \(-0.400326\pi\)
−0.809618 + 0.586957i \(0.800326\pi\)
\(480\) 5.27447 0.556321i 0.240746 0.0253925i
\(481\) 1.01906 + 3.13634i 0.0464651 + 0.143005i
\(482\) −24.7383 + 17.9734i −1.12680 + 0.818666i
\(483\) 33.4489 + 14.9825i 1.52198 + 0.681728i
\(484\) −9.21412 6.00832i −0.418824 0.273106i
\(485\) 11.0065 + 24.6966i 0.499778 + 1.12142i
\(486\) −17.0016 + 12.3524i −0.771210 + 0.560317i
\(487\) −25.0477 + 8.13850i −1.13502 + 0.368791i −0.815482 0.578782i \(-0.803528\pi\)
−0.319539 + 0.947573i \(0.603528\pi\)
\(488\) 3.62208 11.1476i 0.163964 0.504629i
\(489\) 23.1611 31.8785i 1.04738 1.44160i
\(490\) −13.5876 + 7.77025i −0.613826 + 0.351024i
\(491\) 28.3233 + 9.20280i 1.27821 + 0.415317i 0.867950 0.496651i \(-0.165437\pi\)
0.410262 + 0.911967i \(0.365437\pi\)
\(492\) 1.64573 + 5.06502i 0.0741950 + 0.228349i
\(493\) −4.36946 + 3.17460i −0.196791 + 0.142977i
\(494\) 0.608413i 0.0273738i
\(495\) 17.1090 + 9.30213i 0.768994 + 0.418099i
\(496\) 4.64437i 0.208538i
\(497\) 4.14572 + 19.7217i 0.185961 + 0.884641i
\(498\) 16.7399 5.43911i 0.750132 0.243733i
\(499\) −4.08584 + 12.5749i −0.182907 + 0.562931i −0.999906 0.0137088i \(-0.995636\pi\)
0.816999 + 0.576639i \(0.195636\pi\)
\(500\) −6.58156 9.03787i −0.294336 0.404186i
\(501\) 3.94602 5.43123i 0.176295 0.242649i
\(502\) −3.71471 1.20698i −0.165796 0.0538703i
\(503\) −15.6041 + 5.07007i −0.695752 + 0.226063i −0.635479 0.772119i \(-0.719197\pi\)
−0.0602731 + 0.998182i \(0.519197\pi\)
\(504\) 1.42921 + 6.79893i 0.0636619 + 0.302848i
\(505\) −1.90638 4.27759i −0.0848328 0.190350i
\(506\) 18.5675 + 5.51890i 0.825428 + 0.245345i
\(507\) 29.2658 1.29974
\(508\) 3.94559 2.86664i 0.175057 0.127187i
\(509\) 39.3139 12.7738i 1.74256 0.566191i 0.747389 0.664386i \(-0.231307\pi\)
0.995167 + 0.0981955i \(0.0313071\pi\)
\(510\) −0.354098 3.35720i −0.0156797 0.148659i
\(511\) −13.1716 22.9327i −0.582679 1.01448i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) −0.205117 + 0.631286i −0.00905615 + 0.0278720i
\(514\) −6.06728 18.6732i −0.267616 0.823638i
\(515\) 18.9971 + 10.9587i 0.837111 + 0.482898i
\(516\) 4.23865 0.186596
\(517\) −12.4014 8.54037i −0.545413 0.375605i
\(518\) −9.79074 4.38549i −0.430180 0.192687i
\(519\) −29.2363 40.2403i −1.28333 1.76635i
\(520\) −1.21736 1.35102i −0.0533846 0.0592460i
\(521\) −40.5006 13.1594i −1.77436 0.576526i −0.775845 0.630924i \(-0.782676\pi\)
−0.998519 + 0.0543984i \(0.982676\pi\)
\(522\) −13.0970 + 18.0265i −0.573240 + 0.788997i
\(523\) −20.4047 + 28.0847i −0.892236 + 1.22806i 0.0806429 + 0.996743i \(0.474303\pi\)
−0.972879 + 0.231315i \(0.925697\pi\)
\(524\) −3.88405 + 11.9539i −0.169675 + 0.522207i
\(525\) 23.3496 20.9602i 1.01906 0.914778i
\(526\) −15.6867 + 11.3971i −0.683973 + 0.496936i
\(527\) 2.95614 0.128771
\(528\) 2.61901 + 7.41794i 0.113978 + 0.322825i
\(529\) −11.1101 −0.483050
\(530\) −2.35539 + 4.08310i −0.102311 + 0.177358i
\(531\) −30.0549 + 9.76543i −1.30427 + 0.423783i
\(532\) 1.46790 + 1.32768i 0.0636415 + 0.0575623i
\(533\) 1.07335 1.47734i 0.0464920 0.0639908i
\(534\) −14.2026 + 19.5482i −0.614608 + 0.845935i
\(535\) 1.24222 0.131022i 0.0537060 0.00566459i
\(536\) −6.77113 + 2.20007i −0.292468 + 0.0950287i
\(537\) −2.44184 + 1.77410i −0.105373 + 0.0765580i
\(538\) 29.7446i 1.28238i
\(539\) −15.8894 16.9271i −0.684406 0.729101i
\(540\) 0.807646 + 1.81222i 0.0347555 + 0.0779854i
\(541\) 2.63962 + 3.63313i 0.113486 + 0.156200i 0.861981 0.506940i \(-0.169223\pi\)
−0.748495 + 0.663140i \(0.769223\pi\)
\(542\) −0.613137 1.88704i −0.0263365 0.0810553i
\(543\) −12.3455 4.01130i −0.529797 0.172141i
\(544\) 0.374125 0.514939i 0.0160405 0.0220778i
\(545\) 5.12937 + 1.08832i 0.219718 + 0.0466185i
\(546\) 3.42359 3.78516i 0.146516 0.161990i
\(547\) −11.0877 34.1243i −0.474074 1.45905i −0.847202 0.531270i \(-0.821715\pi\)
0.373128 0.927780i \(-0.378285\pi\)
\(548\) −12.0558 16.5933i −0.514996 0.708832i
\(549\) −30.7792 −1.31362
\(550\) 10.7725 12.6077i 0.459340 0.537594i
\(551\) 6.34784i 0.270427i
\(552\) −8.14249 11.2072i −0.346567 0.477009i
\(553\) 4.40151 40.9919i 0.187171 1.74315i
\(554\) 6.82637 21.0094i 0.290025 0.892604i
\(555\) 21.0374 + 4.46359i 0.892987 + 0.189469i
\(556\) 4.15370 + 3.01784i 0.176156 + 0.127985i
\(557\) −14.1950 + 43.6878i −0.601463 + 1.85111i −0.0819763 + 0.996634i \(0.526123\pi\)
−0.519487 + 0.854479i \(0.673877\pi\)
\(558\) 11.5988 3.76868i 0.491017 0.159541i
\(559\) −0.854269 1.17580i −0.0361317 0.0497310i
\(560\) 5.91607 + 0.0111205i 0.250000 + 0.000469928i
\(561\) 4.72152 1.66700i 0.199343 0.0703806i
\(562\) 24.6894i 1.04146i
\(563\) −1.67074 2.29958i −0.0704135 0.0969158i 0.772358 0.635188i \(-0.219077\pi\)
−0.842771 + 0.538272i \(0.819077\pi\)
\(564\) 3.32766 + 10.2415i 0.140120 + 0.431245i
\(565\) 2.02523 + 19.2012i 0.0852021 + 0.807801i
\(566\) −12.0273 + 16.5541i −0.505544 + 0.695822i
\(567\) −22.9020 + 13.1540i −0.961791 + 0.552415i
\(568\) 2.35379 7.24423i 0.0987629 0.303961i
\(569\) −16.9563 + 5.50944i −0.710846 + 0.230968i −0.642050 0.766663i \(-0.721916\pi\)
−0.0687963 + 0.997631i \(0.521916\pi\)
\(570\) −3.43683 1.98258i −0.143953 0.0830410i
\(571\) 21.8949i 0.916274i −0.888882 0.458137i \(-0.848517\pi\)
0.888882 0.458137i \(-0.151483\pi\)
\(572\) 1.52989 2.22154i 0.0639681 0.0928874i
\(573\) −21.1816 −0.884872
\(574\) 1.22206 + 5.81350i 0.0510078 + 0.242651i
\(575\) −11.8580 + 26.6860i −0.494512 + 1.11288i
\(576\) 0.811453 2.49739i 0.0338105 0.104058i
\(577\) −31.6951 23.0279i −1.31949 0.958663i −0.999938 0.0110923i \(-0.996469\pi\)
−0.319547 0.947570i \(-0.603531\pi\)
\(578\) 13.4255 + 9.75422i 0.558428 + 0.405722i
\(579\) −15.4823 + 47.6496i −0.643422 + 1.98025i
\(580\) 12.7012 + 14.0957i 0.527388 + 0.585293i
\(581\) 19.2136 4.03890i 0.797114 0.167562i
\(582\) 28.6807 1.18885
\(583\) −6.70185 1.99202i −0.277562 0.0825009i
\(584\) 9.99573i 0.413626i
\(585\) −2.38619 + 4.13650i −0.0986569 + 0.171023i
\(586\) 13.3177 4.32720i 0.550151 0.178755i
\(587\) 4.57871 14.0918i 0.188983 0.581631i −0.811011 0.585031i \(-0.801082\pi\)
0.999994 + 0.00340007i \(0.00108228\pi\)
\(588\) 1.66134 + 16.5200i 0.0685126 + 0.681273i
\(589\) 2.04220 2.81085i 0.0841475 0.115819i
\(590\) 2.82265 + 26.7615i 0.116207 + 1.10175i
\(591\) 10.0030 + 30.7860i 0.411468 + 1.26637i
\(592\) 2.38336 + 3.28042i 0.0979557 + 0.134824i
\(593\) 18.0520i 0.741306i −0.928771 0.370653i \(-0.879134\pi\)
0.928771 0.370653i \(-0.120866\pi\)
\(594\) −2.33637 + 1.78928i −0.0958623 + 0.0734150i
\(595\) 0.00707822 3.76558i 0.000290179 0.154374i
\(596\) −6.72048 9.24994i −0.275281 0.378892i
\(597\) −13.0083 + 4.22666i −0.532395 + 0.172986i
\(598\) −1.46781 + 4.51745i −0.0600231 + 0.184732i
\(599\) −31.0302 22.5447i −1.26786 0.921153i −0.268744 0.963212i \(-0.586608\pi\)
−0.999115 + 0.0420585i \(0.986608\pi\)
\(600\) −11.5985 + 2.47422i −0.473508 + 0.101010i
\(601\) 13.0875 40.2791i 0.533849 1.64302i −0.212273 0.977210i \(-0.568087\pi\)
0.746122 0.665809i \(-0.231913\pi\)
\(602\) 4.70100 + 0.504771i 0.191599 + 0.0205729i
\(603\) 10.9889 + 15.1249i 0.447503 + 0.615935i
\(604\) 2.03456i 0.0827851i
\(605\) 21.8990 + 11.1998i 0.890320 + 0.455335i
\(606\) −4.96765 −0.201797
\(607\) 14.1598 + 19.4893i 0.574728 + 0.791046i 0.993105 0.117228i \(-0.0374008\pi\)
−0.418377 + 0.908274i \(0.637401\pi\)
\(608\) −0.231172 0.711476i −0.00937528 0.0288541i
\(609\) −35.7198 + 39.4922i −1.44744 + 1.60030i
\(610\) −5.43991 + 25.6389i −0.220255 + 1.03809i
\(611\) 2.17032 2.98719i 0.0878019 0.120849i
\(612\) −1.58959 0.516489i −0.0642554 0.0208778i
\(613\) −7.73309 23.8000i −0.312337 0.961273i −0.976837 0.213985i \(-0.931356\pi\)
0.664500 0.747288i \(-0.268644\pi\)
\(614\) −11.7411 16.1602i −0.473832 0.652174i
\(615\) −4.84764 10.8773i −0.195476 0.438613i
\(616\) 2.02130 + 8.53899i 0.0814406 + 0.344046i
\(617\) 9.96719i 0.401264i −0.979667 0.200632i \(-0.935700\pi\)
0.979667 0.200632i \(-0.0642995\pi\)
\(618\) 18.8206 13.6740i 0.757076 0.550048i
\(619\) 17.5478 5.70164i 0.705307 0.229168i 0.0656656 0.997842i \(-0.479083\pi\)
0.639641 + 0.768674i \(0.279083\pi\)
\(620\) −1.08932 10.3278i −0.0437481 0.414776i
\(621\) 3.04598 4.19243i 0.122231 0.168236i
\(622\) −17.9668 + 24.7292i −0.720404 + 0.991552i
\(623\) −18.0798 + 19.9892i −0.724352 + 0.800851i
\(624\) −1.83463 + 0.596107i −0.0734439 + 0.0238634i
\(625\) 16.7554 + 18.5541i 0.670217 + 0.742165i
\(626\) −10.3327 −0.412978
\(627\) 1.67672 5.64109i 0.0669618 0.225283i
\(628\) 4.05259 0.161716
\(629\) 2.08799 1.51701i 0.0832534 0.0604872i
\(630\) −4.77284 14.7838i −0.190154 0.589000i
\(631\) 7.41037 22.8068i 0.295002 0.907924i −0.688218 0.725504i \(-0.741607\pi\)
0.983221 0.182420i \(-0.0583931\pi\)
\(632\) −9.15919 + 12.6065i −0.364333 + 0.501461i
\(633\) 30.0773 41.3979i 1.19547 1.64542i
\(634\) −2.49090 0.809344i −0.0989264 0.0321431i
\(635\) −8.10159 + 7.30007i −0.321502 + 0.289694i
\(636\) 2.93899 + 4.04517i 0.116538 + 0.160401i
\(637\) 4.24781 3.79034i 0.168304 0.150179i
\(638\) −15.9620 + 23.1783i −0.631943 + 0.917638i
\(639\) −20.0017 −0.791254
\(640\) −1.93690 1.11733i −0.0765627 0.0441662i
\(641\) −13.5051 41.5643i −0.533417 1.64169i −0.747044 0.664775i \(-0.768528\pi\)
0.213627 0.976915i \(-0.431472\pi\)
\(642\) 0.409445 1.26014i 0.0161595 0.0497339i
\(643\) −31.0256 22.5414i −1.22353 0.888947i −0.227142 0.973862i \(-0.572938\pi\)
−0.996388 + 0.0849146i \(0.972938\pi\)
\(644\) −7.69604 13.3993i −0.303266 0.528008i
\(645\) −9.42562 + 0.994159i −0.371133 + 0.0391450i
\(646\) −0.452854 + 0.147141i −0.0178173 + 0.00578919i
\(647\) −10.9257 + 7.93796i −0.429532 + 0.312073i −0.781462 0.623953i \(-0.785526\pi\)
0.351930 + 0.936026i \(0.385526\pi\)
\(648\) 9.98231 0.392142
\(649\) −37.6370 + 13.2883i −1.47738 + 0.521610i
\(650\) 3.02395 + 2.71877i 0.118609 + 0.106639i
\(651\) 28.5222 5.99566i 1.11787 0.234989i
\(652\) −15.7998 + 5.13365i −0.618766 + 0.201049i
\(653\) 31.7819 + 10.3266i 1.24372 + 0.404109i 0.855667 0.517527i \(-0.173147\pi\)
0.388054 + 0.921637i \(0.373147\pi\)
\(654\) 3.26931 4.49982i 0.127840 0.175957i
\(655\) 5.83335 27.4932i 0.227928 1.07425i
\(656\) 0.693842 2.13543i 0.0270900 0.0833744i
\(657\) 24.9633 8.11106i 0.973911 0.316443i
\(658\) 2.47101 + 11.7549i 0.0963301 + 0.458255i
\(659\) 5.15933i 0.200979i 0.994938 + 0.100489i \(0.0320409\pi\)
−0.994938 + 0.100489i \(0.967959\pi\)
\(660\) −7.56382 15.8812i −0.294421 0.618177i
\(661\) 33.9879i 1.32198i 0.750396 + 0.660989i \(0.229863\pi\)
−0.750396 + 0.660989i \(0.770137\pi\)
\(662\) 7.81203 5.67577i 0.303623 0.220595i
\(663\) 0.379422 + 1.16774i 0.0147355 + 0.0453513i
\(664\) −7.05758 2.29315i −0.273887 0.0889913i
\(665\) −3.57562 2.60812i −0.138657 0.101139i
\(666\) 6.25851 8.61411i 0.242512 0.333790i
\(667\) 15.3143 47.1325i 0.592971 1.82498i
\(668\) −2.69185 + 0.874634i −0.104151 + 0.0338406i
\(669\) 30.4218 22.1027i 1.17617 0.854541i
\(670\) 14.5412 6.48052i 0.561774 0.250364i
\(671\) −38.8628 + 0.981188i −1.50028 + 0.0378784i
\(672\) 2.56533 5.72717i 0.0989596 0.220930i
\(673\) 13.2169 9.60262i 0.509473 0.370154i −0.303151 0.952943i \(-0.598039\pi\)
0.812624 + 0.582789i \(0.198039\pi\)
\(674\) −6.71481 20.6661i −0.258645 0.796027i
\(675\) −2.22104 3.84046i −0.0854878 0.147819i
\(676\) −9.98211 7.25242i −0.383927 0.278939i
\(677\) −11.3366 + 15.6036i −0.435703 + 0.599693i −0.969250 0.246077i \(-0.920858\pi\)
0.533548 + 0.845770i \(0.320858\pi\)
\(678\) 19.4782 + 6.32885i 0.748056 + 0.243058i
\(679\) 31.8092 + 3.41552i 1.22073 + 0.131076i
\(680\) −0.711177 + 1.23284i −0.0272724 + 0.0472771i
\(681\) 35.4035i 1.35667i
\(682\) 14.5249 5.12821i 0.556187 0.196369i
\(683\) 42.7262i 1.63487i −0.576020 0.817435i \(-0.695395\pi\)
0.576020 0.817435i \(-0.304605\pi\)
\(684\) −1.58925 + 1.15466i −0.0607665 + 0.0441494i
\(685\) 30.7007 + 34.0715i 1.17301 + 1.30180i
\(686\) −0.124766 + 18.5198i −0.00476357 + 0.707091i
\(687\) −30.2419 + 41.6244i −1.15380 + 1.58807i
\(688\) −1.44573 1.05039i −0.0551181 0.0400456i
\(689\) 0.529797 1.63055i 0.0201837 0.0621190i
\(690\) 20.7353 + 23.0120i 0.789380 + 0.876051i
\(691\) −22.0867 30.3997i −0.840216 1.15646i −0.985934 0.167132i \(-0.946549\pi\)
0.145718 0.989326i \(-0.453451\pi\)
\(692\) 20.9704i 0.797175i
\(693\) 19.6850 11.9770i 0.747773 0.454968i
\(694\) 7.28099 0.276382
\(695\) −9.94453 5.73663i −0.377218 0.217603i
\(696\) 19.1415 6.21944i 0.725555 0.235747i
\(697\) −1.35920 0.441630i −0.0514833 0.0167279i
\(698\) 7.96605 + 5.78768i 0.301520 + 0.219067i
\(699\) −49.3617 35.8634i −1.86703 1.35648i
\(700\) −13.1584 + 1.36286i −0.497339 + 0.0515114i
\(701\) −9.48040 + 3.08037i −0.358070 + 0.116344i −0.482527 0.875881i \(-0.660281\pi\)
0.124457 + 0.992225i \(0.460281\pi\)
\(702\) −0.424160 0.583806i −0.0160089 0.0220343i
\(703\) 3.03337i 0.114406i
\(704\) 0.944954 3.17916i 0.0356143 0.119819i
\(705\) −9.80194 21.9939i −0.369163 0.828337i
\(706\) 6.34305 4.60850i 0.238724 0.173443i
\(707\) −5.50953 0.591587i −0.207207 0.0222489i
\(708\) 27.1476 + 8.82078i 1.02027 + 0.331505i
\(709\) 14.2703 + 10.3680i 0.535932 + 0.389377i 0.822572 0.568661i \(-0.192538\pi\)
−0.286640 + 0.958038i \(0.592538\pi\)
\(710\) −3.53510 + 16.6613i −0.132670 + 0.625288i
\(711\) 38.9158 + 12.6445i 1.45945 + 0.474206i
\(712\) 9.68857 3.14801i 0.363094 0.117977i
\(713\) −21.9445 + 15.9436i −0.821828 + 0.597093i
\(714\) −3.64534 1.63283i −0.136424 0.0611071i
\(715\) −2.88102 + 5.29895i −0.107744 + 0.198170i
\(716\) 1.27251 0.0475560
\(717\) −10.9288 15.0422i −0.408144 0.561762i
\(718\) 32.5863 10.5879i 1.21611 0.395138i
\(719\) 6.31619 + 2.05225i 0.235554 + 0.0765361i 0.424415 0.905468i \(-0.360480\pi\)
−0.188861 + 0.982004i \(0.560480\pi\)
\(720\) −1.21870 + 5.74386i −0.0454182 + 0.214061i
\(721\) 22.5020 12.9242i 0.838018 0.481324i
\(722\) 5.69839 17.5378i 0.212072 0.652690i
\(723\) −22.4125 68.9786i −0.833530 2.56534i
\(724\) 3.21681 + 4.42756i 0.119552 + 0.164549i
\(725\) −31.5502 28.3661i −1.17174 1.05349i
\(726\) 20.3072 16.3815i 0.753671 0.607974i
\(727\) 40.8132 1.51368 0.756839 0.653601i \(-0.226742\pi\)
0.756839 + 0.653601i \(0.226742\pi\)
\(728\) −2.10574 + 0.442649i −0.0780439 + 0.0164057i
\(729\) −6.14913 18.9251i −0.227746 0.700929i
\(730\) −2.34446 22.2278i −0.0867725 0.822689i
\(731\) −0.668571 + 0.920209i −0.0247280 + 0.0340352i
\(732\) 22.4921 + 16.3415i 0.831332 + 0.603998i
\(733\) 20.9481 + 6.80646i 0.773737 + 0.251402i 0.669164 0.743115i \(-0.266652\pi\)
0.104573 + 0.994517i \(0.466652\pi\)
\(734\) 8.93956 + 27.5131i 0.329965 + 1.01553i
\(735\) −7.56908 36.3464i −0.279190 1.34066i
\(736\) 5.84039i 0.215280i
\(737\) 14.3571 + 18.7469i 0.528851 + 0.690552i
\(738\) −5.89602 −0.217036
\(739\) 15.4581 + 21.2762i 0.568635 + 0.782659i 0.992392 0.123117i \(-0.0392891\pi\)
−0.423757 + 0.905776i \(0.639289\pi\)
\(740\) −6.06938 6.73577i −0.223115 0.247612i
\(741\) 1.37247 + 0.445941i 0.0504188 + 0.0163821i
\(742\) 2.77784 + 4.83642i 0.101978 + 0.177550i
\(743\) 42.4776 + 30.8618i 1.55835 + 1.13221i 0.937345 + 0.348402i \(0.113275\pi\)
0.621005 + 0.783806i \(0.286725\pi\)
\(744\) −10.4768 3.40412i −0.384099 0.124801i
\(745\) 17.1141 + 18.9931i 0.627012 + 0.695855i
\(746\) −20.8333 + 15.1363i −0.762762 + 0.554179i
\(747\) 19.4863i 0.712967i
\(748\) −2.02353 0.601463i −0.0739877 0.0219917i
\(749\) 0.604175 1.34884i 0.0220761 0.0492855i
\(750\) 25.2117 8.22240i 0.920602 0.300239i
\(751\) −0.953302 2.93396i −0.0347865 0.107062i 0.932156 0.362058i \(-0.117926\pi\)
−0.966942 + 0.254996i \(0.917926\pi\)
\(752\) 1.40295 4.31784i 0.0511604 0.157456i
\(753\) 5.44545 7.49502i 0.198443 0.273134i
\(754\) −5.58309 4.05635i −0.203324 0.147724i
\(755\) 0.477199 + 4.52432i 0.0173670 + 0.164657i
\(756\) 2.33413 + 0.250628i 0.0848916 + 0.00911525i
\(757\) −18.8592 25.9575i −0.685450 0.943440i 0.314534 0.949246i \(-0.398152\pi\)
−0.999983 + 0.00580602i \(0.998152\pi\)
\(758\) −11.5492 −0.419487
\(759\) −26.0588 + 37.8398i −0.945875 + 1.37350i
\(760\) 0.680940 + 1.52791i 0.0247003 + 0.0554232i
\(761\) −20.1886 + 14.6679i −0.731836 + 0.531710i −0.890144 0.455680i \(-0.849396\pi\)
0.158308 + 0.987390i \(0.449396\pi\)
\(762\) 3.57465 + 11.0016i 0.129496 + 0.398548i
\(763\) 4.16180 4.60133i 0.150667 0.166579i
\(764\) 7.22468 + 5.24904i 0.261380 + 0.189904i
\(765\) 3.65597 + 0.775701i 0.132182 + 0.0280455i
\(766\) 2.68639 8.26786i 0.0970633 0.298730i
\(767\) −3.02451 9.30850i −0.109209 0.336110i
\(768\) −1.91891 + 1.39417i −0.0692426 + 0.0503077i
\(769\) −4.84628 −0.174761 −0.0873807 0.996175i \(-0.527850\pi\)
−0.0873807 + 0.996175i \(0.527850\pi\)
\(770\) −6.49763 18.5143i −0.234158 0.667211i
\(771\) 46.5702 1.67718
\(772\) 17.0889 12.4158i 0.615042 0.446854i
\(773\) 4.04957 + 12.4633i 0.145653 + 0.448274i 0.997094 0.0761761i \(-0.0242711\pi\)