Properties

Label 546.2.bi.e.17.10
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.10
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.10

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(0.787258 + 1.54280i) q^{3} +1.00000 q^{4} +(-3.27919 + 1.89324i) q^{5} +(-0.787258 - 1.54280i) q^{6} +(0.475130 - 2.60274i) q^{7} -1.00000 q^{8} +(-1.76045 + 2.42916i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(0.787258 + 1.54280i) q^{3} +1.00000 q^{4} +(-3.27919 + 1.89324i) q^{5} +(-0.787258 - 1.54280i) q^{6} +(0.475130 - 2.60274i) q^{7} -1.00000 q^{8} +(-1.76045 + 2.42916i) q^{9} +(3.27919 - 1.89324i) q^{10} +(-2.90419 - 5.03020i) q^{11} +(0.787258 + 1.54280i) q^{12} +(-0.879475 - 3.49664i) q^{13} +(-0.475130 + 2.60274i) q^{14} +(-5.50246 - 3.56866i) q^{15} +1.00000 q^{16} +4.53944 q^{17} +(1.76045 - 2.42916i) q^{18} +(-1.42838 + 2.47403i) q^{19} +(-3.27919 + 1.89324i) q^{20} +(4.38955 - 1.31600i) q^{21} +(2.90419 + 5.03020i) q^{22} -4.84897i q^{23} +(-0.787258 - 1.54280i) q^{24} +(4.66874 - 8.08650i) q^{25} +(0.879475 + 3.49664i) q^{26} +(-5.13363 - 0.803642i) q^{27} +(0.475130 - 2.60274i) q^{28} +(2.20269 + 1.27172i) q^{29} +(5.50246 + 3.56866i) q^{30} +(-0.824954 + 1.42886i) q^{31} -1.00000 q^{32} +(5.47423 - 8.44064i) q^{33} -4.53944 q^{34} +(3.36958 + 9.43442i) q^{35} +(-1.76045 + 2.42916i) q^{36} -0.999410i q^{37} +(1.42838 - 2.47403i) q^{38} +(4.70224 - 4.10961i) q^{39} +(3.27919 - 1.89324i) q^{40} +(3.48711 + 2.01328i) q^{41} +(-4.38955 + 1.31600i) q^{42} +(-0.445979 - 0.772459i) q^{43} +(-2.90419 - 5.03020i) q^{44} +(1.17386 - 11.2986i) q^{45} +4.84897i q^{46} +(-6.23486 + 3.59970i) q^{47} +(0.787258 + 1.54280i) q^{48} +(-6.54850 - 2.47328i) q^{49} +(-4.66874 + 8.08650i) q^{50} +(3.57371 + 7.00344i) q^{51} +(-0.879475 - 3.49664i) q^{52} +(-5.41458 - 3.12611i) q^{53} +(5.13363 + 0.803642i) q^{54} +(19.0468 + 10.9967i) q^{55} +(-0.475130 + 2.60274i) q^{56} +(-4.94143 - 0.256004i) q^{57} +(-2.20269 - 1.27172i) q^{58} -10.0175i q^{59} +(-5.50246 - 3.56866i) q^{60} +(-3.15624 - 1.82226i) q^{61} +(0.824954 - 1.42886i) q^{62} +(5.48603 + 5.73616i) q^{63} +1.00000 q^{64} +(9.50397 + 9.80111i) q^{65} +(-5.47423 + 8.44064i) q^{66} +(-9.24567 + 5.33799i) q^{67} +4.53944 q^{68} +(7.48098 - 3.81739i) q^{69} +(-3.36958 - 9.43442i) q^{70} +(-6.77969 - 11.7428i) q^{71} +(1.76045 - 2.42916i) q^{72} +(2.19097 - 3.79486i) q^{73} +0.999410i q^{74} +(16.1513 + 0.836763i) q^{75} +(-1.42838 + 2.47403i) q^{76} +(-14.4722 + 5.16884i) q^{77} +(-4.70224 + 4.10961i) q^{78} +(-8.40177 - 14.5523i) q^{79} +(-3.27919 + 1.89324i) q^{80} +(-2.80163 - 8.55283i) q^{81} +(-3.48711 - 2.01328i) q^{82} -11.9716i q^{83} +(4.38955 - 1.31600i) q^{84} +(-14.8857 + 8.59427i) q^{85} +(0.445979 + 0.772459i) q^{86} +(-0.227927 + 4.39948i) q^{87} +(2.90419 + 5.03020i) q^{88} +2.18827i q^{89} +(-1.17386 + 11.2986i) q^{90} +(-9.51872 + 0.627686i) q^{91} -4.84897i q^{92} +(-2.85390 - 0.147854i) q^{93} +(6.23486 - 3.59970i) q^{94} -10.8171i q^{95} +(-0.787258 - 1.54280i) q^{96} +(6.30970 + 10.9287i) q^{97} +(6.54850 + 2.47328i) q^{98} +(17.3318 + 1.80068i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) 0.787258 + 1.54280i 0.454524 + 0.890735i
\(4\) 1.00000 0.500000
\(5\) −3.27919 + 1.89324i −1.46650 + 0.846684i −0.999298 0.0374664i \(-0.988071\pi\)
−0.467202 + 0.884151i \(0.654738\pi\)
\(6\) −0.787258 1.54280i −0.321397 0.629845i
\(7\) 0.475130 2.60274i 0.179582 0.983743i
\(8\) −1.00000 −0.353553
\(9\) −1.76045 + 2.42916i −0.586817 + 0.809720i
\(10\) 3.27919 1.89324i 1.03697 0.598696i
\(11\) −2.90419 5.03020i −0.875645 1.51666i −0.856074 0.516853i \(-0.827103\pi\)
−0.0195712 0.999808i \(-0.506230\pi\)
\(12\) 0.787258 + 1.54280i 0.227262 + 0.445367i
\(13\) −0.879475 3.49664i −0.243923 0.969795i
\(14\) −0.475130 + 2.60274i −0.126984 + 0.695611i
\(15\) −5.50246 3.56866i −1.42073 0.921424i
\(16\) 1.00000 0.250000
\(17\) 4.53944 1.10098 0.550488 0.834843i \(-0.314442\pi\)
0.550488 + 0.834843i \(0.314442\pi\)
\(18\) 1.76045 2.42916i 0.414942 0.572558i
\(19\) −1.42838 + 2.47403i −0.327693 + 0.567582i −0.982054 0.188601i \(-0.939605\pi\)
0.654360 + 0.756183i \(0.272938\pi\)
\(20\) −3.27919 + 1.89324i −0.733250 + 0.423342i
\(21\) 4.38955 1.31600i 0.957878 0.287174i
\(22\) 2.90419 + 5.03020i 0.619175 + 1.07244i
\(23\) 4.84897i 1.01108i −0.862803 0.505540i \(-0.831293\pi\)
0.862803 0.505540i \(-0.168707\pi\)
\(24\) −0.787258 1.54280i −0.160698 0.314922i
\(25\) 4.66874 8.08650i 0.933748 1.61730i
\(26\) 0.879475 + 3.49664i 0.172479 + 0.685748i
\(27\) −5.13363 0.803642i −0.987968 0.154661i
\(28\) 0.475130 2.60274i 0.0897911 0.491871i
\(29\) 2.20269 + 1.27172i 0.409029 + 0.236153i 0.690372 0.723454i \(-0.257447\pi\)
−0.281344 + 0.959607i \(0.590780\pi\)
\(30\) 5.50246 + 3.56866i 1.00461 + 0.651545i
\(31\) −0.824954 + 1.42886i −0.148166 + 0.256631i −0.930550 0.366166i \(-0.880670\pi\)
0.782384 + 0.622797i \(0.214004\pi\)
\(32\) −1.00000 −0.176777
\(33\) 5.47423 8.44064i 0.952942 1.46933i
\(34\) −4.53944 −0.778508
\(35\) 3.36958 + 9.43442i 0.569562 + 1.59471i
\(36\) −1.76045 + 2.42916i −0.293408 + 0.404860i
\(37\) 0.999410i 0.164302i −0.996620 0.0821510i \(-0.973821\pi\)
0.996620 0.0821510i \(-0.0261790\pi\)
\(38\) 1.42838 2.47403i 0.231714 0.401341i
\(39\) 4.70224 4.10961i 0.752961 0.658065i
\(40\) 3.27919 1.89324i 0.518486 0.299348i
\(41\) 3.48711 + 2.01328i 0.544595 + 0.314422i 0.746939 0.664893i \(-0.231523\pi\)
−0.202344 + 0.979314i \(0.564856\pi\)
\(42\) −4.38955 + 1.31600i −0.677322 + 0.203063i
\(43\) −0.445979 0.772459i −0.0680112 0.117799i 0.830015 0.557742i \(-0.188332\pi\)
−0.898026 + 0.439943i \(0.854999\pi\)
\(44\) −2.90419 5.03020i −0.437823 0.758331i
\(45\) 1.17386 11.2986i 0.174989 1.68430i
\(46\) 4.84897i 0.714941i
\(47\) −6.23486 + 3.59970i −0.909448 + 0.525070i −0.880253 0.474504i \(-0.842627\pi\)
−0.0291943 + 0.999574i \(0.509294\pi\)
\(48\) 0.787258 + 1.54280i 0.113631 + 0.222684i
\(49\) −6.54850 2.47328i −0.935501 0.353325i
\(50\) −4.66874 + 8.08650i −0.660260 + 1.14360i
\(51\) 3.57371 + 7.00344i 0.500420 + 0.980678i
\(52\) −0.879475 3.49664i −0.121961 0.484897i
\(53\) −5.41458 3.12611i −0.743749 0.429404i 0.0796817 0.996820i \(-0.474610\pi\)
−0.823431 + 0.567417i \(0.807943\pi\)
\(54\) 5.13363 + 0.803642i 0.698599 + 0.109362i
\(55\) 19.0468 + 10.9967i 2.56827 + 1.48279i
\(56\) −0.475130 + 2.60274i −0.0634919 + 0.347806i
\(57\) −4.94143 0.256004i −0.654509 0.0339086i
\(58\) −2.20269 1.27172i −0.289227 0.166985i
\(59\) 10.0175i 1.30417i −0.758144 0.652087i \(-0.773894\pi\)
0.758144 0.652087i \(-0.226106\pi\)
\(60\) −5.50246 3.56866i −0.710365 0.460712i
\(61\) −3.15624 1.82226i −0.404115 0.233316i 0.284143 0.958782i \(-0.408291\pi\)
−0.688258 + 0.725466i \(0.741624\pi\)
\(62\) 0.824954 1.42886i 0.104769 0.181466i
\(63\) 5.48603 + 5.73616i 0.691175 + 0.722688i
\(64\) 1.00000 0.125000
\(65\) 9.50397 + 9.80111i 1.17882 + 1.21568i
\(66\) −5.47423 + 8.44064i −0.673832 + 1.03897i
\(67\) −9.24567 + 5.33799i −1.12954 + 0.652139i −0.943819 0.330464i \(-0.892795\pi\)
−0.185720 + 0.982603i \(0.559462\pi\)
\(68\) 4.53944 0.550488
\(69\) 7.48098 3.81739i 0.900604 0.459560i
\(70\) −3.36958 9.43442i −0.402741 1.12763i
\(71\) −6.77969 11.7428i −0.804602 1.39361i −0.916560 0.399898i \(-0.869046\pi\)
0.111958 0.993713i \(-0.464288\pi\)
\(72\) 1.76045 2.42916i 0.207471 0.286279i
\(73\) 2.19097 3.79486i 0.256433 0.444155i −0.708851 0.705359i \(-0.750786\pi\)
0.965284 + 0.261203i \(0.0841193\pi\)
\(74\) 0.999410i 0.116179i
\(75\) 16.1513 + 0.836763i 1.86500 + 0.0966211i
\(76\) −1.42838 + 2.47403i −0.163847 + 0.283791i
\(77\) −14.4722 + 5.16884i −1.64926 + 0.589044i
\(78\) −4.70224 + 4.10961i −0.532424 + 0.465322i
\(79\) −8.40177 14.5523i −0.945273 1.63726i −0.755203 0.655491i \(-0.772462\pi\)
−0.190071 0.981770i \(-0.560872\pi\)
\(80\) −3.27919 + 1.89324i −0.366625 + 0.211671i
\(81\) −2.80163 8.55283i −0.311293 0.950314i
\(82\) −3.48711 2.01328i −0.385087 0.222330i
\(83\) 11.9716i 1.31405i −0.753867 0.657027i \(-0.771814\pi\)
0.753867 0.657027i \(-0.228186\pi\)
\(84\) 4.38955 1.31600i 0.478939 0.143587i
\(85\) −14.8857 + 8.59427i −1.61458 + 0.932180i
\(86\) 0.445979 + 0.772459i 0.0480912 + 0.0832963i
\(87\) −0.227927 + 4.39948i −0.0244363 + 0.471673i
\(88\) 2.90419 + 5.03020i 0.309587 + 0.536221i
\(89\) 2.18827i 0.231956i 0.993252 + 0.115978i \(0.0370003\pi\)
−0.993252 + 0.115978i \(0.963000\pi\)
\(90\) −1.17386 + 11.2986i −0.123736 + 1.19098i
\(91\) −9.51872 + 0.627686i −0.997833 + 0.0657994i
\(92\) 4.84897i 0.505540i
\(93\) −2.85390 0.147854i −0.295935 0.0153317i
\(94\) 6.23486 3.59970i 0.643077 0.371280i
\(95\) 10.8171i 1.10981i
\(96\) −0.787258 1.54280i −0.0803492 0.157461i
\(97\) 6.30970 + 10.9287i 0.640653 + 1.10964i 0.985287 + 0.170907i \(0.0546697\pi\)
−0.344634 + 0.938737i \(0.611997\pi\)
\(98\) 6.54850 + 2.47328i 0.661499 + 0.249839i
\(99\) 17.3318 + 1.80068i 1.74191 + 0.180975i
\(100\) 4.66874 8.08650i 0.466874 0.808650i
\(101\) −4.84579 8.39315i −0.482174 0.835150i 0.517617 0.855613i \(-0.326819\pi\)
−0.999791 + 0.0204629i \(0.993486\pi\)
\(102\) −3.57371 7.00344i −0.353850 0.693444i
\(103\) 2.94432 1.69990i 0.290112 0.167496i −0.347880 0.937539i \(-0.613098\pi\)
0.637992 + 0.770043i \(0.279765\pi\)
\(104\) 0.879475 + 3.49664i 0.0862397 + 0.342874i
\(105\) −11.9027 + 12.6259i −1.16158 + 1.23216i
\(106\) 5.41458 + 3.12611i 0.525910 + 0.303634i
\(107\) 8.84801i 0.855369i 0.903928 + 0.427684i \(0.140671\pi\)
−0.903928 + 0.427684i \(0.859329\pi\)
\(108\) −5.13363 0.803642i −0.493984 0.0773305i
\(109\) 2.56093 + 1.47855i 0.245292 + 0.141620i 0.617607 0.786487i \(-0.288102\pi\)
−0.372314 + 0.928107i \(0.621436\pi\)
\(110\) −19.0468 10.9967i −1.81604 1.04849i
\(111\) 1.54189 0.786794i 0.146349 0.0746791i
\(112\) 0.475130 2.60274i 0.0448955 0.245936i
\(113\) −8.71628 + 5.03235i −0.819959 + 0.473403i −0.850402 0.526133i \(-0.823641\pi\)
0.0304434 + 0.999536i \(0.490308\pi\)
\(114\) 4.94143 + 0.256004i 0.462808 + 0.0239770i
\(115\) 9.18028 + 15.9007i 0.856065 + 1.48275i
\(116\) 2.20269 + 1.27172i 0.204514 + 0.118076i
\(117\) 10.0422 + 4.01928i 0.928400 + 0.371583i
\(118\) 10.0175i 0.922190i
\(119\) 2.15682 11.8150i 0.197716 1.08308i
\(120\) 5.50246 + 3.56866i 0.502304 + 0.325773i
\(121\) −11.3686 + 19.6910i −1.03351 + 1.79009i
\(122\) 3.15624 + 1.82226i 0.285753 + 0.164979i
\(123\) −0.360834 + 6.96487i −0.0325353 + 0.628002i
\(124\) −0.824954 + 1.42886i −0.0740830 + 0.128316i
\(125\) 16.4238i 1.46899i
\(126\) −5.48603 5.73616i −0.488734 0.511017i
\(127\) −0.534780 + 0.926266i −0.0474540 + 0.0821928i −0.888777 0.458340i \(-0.848444\pi\)
0.841323 + 0.540533i \(0.181777\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 0.840647 1.29618i 0.0740148 0.114122i
\(130\) −9.50397 9.80111i −0.833553 0.859615i
\(131\) 6.27140 + 10.8624i 0.547935 + 0.949051i 0.998416 + 0.0562650i \(0.0179192\pi\)
−0.450481 + 0.892786i \(0.648747\pi\)
\(132\) 5.47423 8.44064i 0.476471 0.734663i
\(133\) 5.76059 + 4.89319i 0.499507 + 0.424294i
\(134\) 9.24567 5.33799i 0.798704 0.461132i
\(135\) 18.3557 7.08391i 1.57980 0.609686i
\(136\) −4.53944 −0.389254
\(137\) 15.5523 1.32872 0.664360 0.747413i \(-0.268704\pi\)
0.664360 + 0.747413i \(0.268704\pi\)
\(138\) −7.48098 + 3.81739i −0.636823 + 0.324958i
\(139\) −7.60046 + 4.38812i −0.644662 + 0.372196i −0.786408 0.617707i \(-0.788062\pi\)
0.141746 + 0.989903i \(0.454728\pi\)
\(140\) 3.36958 + 9.43442i 0.284781 + 0.797354i
\(141\) −10.4620 6.78524i −0.881063 0.571420i
\(142\) 6.77969 + 11.7428i 0.568939 + 0.985432i
\(143\) −15.0347 + 14.5788i −1.25726 + 1.21914i
\(144\) −1.76045 + 2.42916i −0.146704 + 0.202430i
\(145\) −9.63072 −0.799788
\(146\) −2.19097 + 3.79486i −0.181326 + 0.314065i
\(147\) −1.33960 12.0501i −0.110488 0.993877i
\(148\) 0.999410i 0.0821510i
\(149\) −1.53689 + 2.66197i −0.125907 + 0.218077i −0.922087 0.386982i \(-0.873517\pi\)
0.796180 + 0.605060i \(0.206851\pi\)
\(150\) −16.1513 0.836763i −1.31875 0.0683214i
\(151\) 10.9434 + 6.31820i 0.890564 + 0.514167i 0.874127 0.485697i \(-0.161434\pi\)
0.0164372 + 0.999865i \(0.494768\pi\)
\(152\) 1.42838 2.47403i 0.115857 0.200670i
\(153\) −7.99146 + 11.0270i −0.646071 + 0.891483i
\(154\) 14.4722 5.16884i 1.16620 0.416517i
\(155\) 6.24735i 0.501799i
\(156\) 4.70224 4.10961i 0.376481 0.329032i
\(157\) 8.31434 + 4.80029i 0.663556 + 0.383104i 0.793631 0.608400i \(-0.208188\pi\)
−0.130074 + 0.991504i \(0.541522\pi\)
\(158\) 8.40177 + 14.5523i 0.668409 + 1.15772i
\(159\) 0.560282 10.8146i 0.0444333 0.857657i
\(160\) 3.27919 1.89324i 0.259243 0.149674i
\(161\) −12.6206 2.30389i −0.994643 0.181572i
\(162\) 2.80163 + 8.55283i 0.220117 + 0.671974i
\(163\) 5.52266 + 3.18851i 0.432568 + 0.249743i 0.700440 0.713711i \(-0.252987\pi\)
−0.267872 + 0.963454i \(0.586320\pi\)
\(164\) 3.48711 + 2.01328i 0.272297 + 0.157211i
\(165\) −1.97090 + 38.0425i −0.153434 + 2.96161i
\(166\) 11.9716i 0.929177i
\(167\) 6.39087 + 3.68977i 0.494540 + 0.285523i 0.726456 0.687213i \(-0.241166\pi\)
−0.231916 + 0.972736i \(0.574499\pi\)
\(168\) −4.38955 + 1.31600i −0.338661 + 0.101531i
\(169\) −11.4530 + 6.15043i −0.881004 + 0.473110i
\(170\) 14.8857 8.59427i 1.14168 0.659151i
\(171\) −3.49522 7.82518i −0.267286 0.598406i
\(172\) −0.445979 0.772459i −0.0340056 0.0588994i
\(173\) −2.54914 + 4.41523i −0.193807 + 0.335684i −0.946509 0.322678i \(-0.895417\pi\)
0.752702 + 0.658362i \(0.228750\pi\)
\(174\) 0.227927 4.39948i 0.0172791 0.333523i
\(175\) −18.8288 15.9936i −1.42332 1.20901i
\(176\) −2.90419 5.03020i −0.218911 0.379165i
\(177\) 15.4550 7.88639i 1.16167 0.592778i
\(178\) 2.18827i 0.164018i
\(179\) −7.44227 + 4.29680i −0.556261 + 0.321158i −0.751643 0.659570i \(-0.770739\pi\)
0.195382 + 0.980727i \(0.437405\pi\)
\(180\) 1.17386 11.2986i 0.0874947 0.842151i
\(181\) 2.78775i 0.207211i 0.994618 + 0.103606i \(0.0330380\pi\)
−0.994618 + 0.103606i \(0.966962\pi\)
\(182\) 9.51872 0.627686i 0.705574 0.0465272i
\(183\) 0.326597 6.30402i 0.0241427 0.466007i
\(184\) 4.84897i 0.357471i
\(185\) 1.89213 + 3.27726i 0.139112 + 0.240949i
\(186\) 2.85390 + 0.147854i 0.209258 + 0.0108412i
\(187\) −13.1834 22.8343i −0.964065 1.66981i
\(188\) −6.23486 + 3.59970i −0.454724 + 0.262535i
\(189\) −4.53081 + 12.9797i −0.329568 + 0.944132i
\(190\) 10.8171i 0.784755i
\(191\) −16.9062 9.76080i −1.22329 0.706267i −0.257672 0.966232i \(-0.582955\pi\)
−0.965618 + 0.259966i \(0.916289\pi\)
\(192\) 0.787258 + 1.54280i 0.0568155 + 0.111342i
\(193\) 5.49481 3.17243i 0.395525 0.228357i −0.289026 0.957321i \(-0.593331\pi\)
0.684551 + 0.728965i \(0.259998\pi\)
\(194\) −6.30970 10.9287i −0.453010 0.784637i
\(195\) −7.63906 + 22.3787i −0.547044 + 1.60257i
\(196\) −6.54850 2.47328i −0.467750 0.176663i
\(197\) −4.25750 + 7.37421i −0.303334 + 0.525391i −0.976889 0.213747i \(-0.931433\pi\)
0.673555 + 0.739137i \(0.264767\pi\)
\(198\) −17.3318 1.80068i −1.23172 0.127969i
\(199\) 1.69156i 0.119912i −0.998201 0.0599559i \(-0.980904\pi\)
0.998201 0.0599559i \(-0.0190960\pi\)
\(200\) −4.66874 + 8.08650i −0.330130 + 0.571802i
\(201\) −15.5142 10.0618i −1.09428 0.709706i
\(202\) 4.84579 + 8.39315i 0.340948 + 0.590540i
\(203\) 4.35652 5.12879i 0.305768 0.359970i
\(204\) 3.57371 + 7.00344i 0.250210 + 0.490339i
\(205\) −15.2465 −1.06486
\(206\) −2.94432 + 1.69990i −0.205140 + 0.118438i
\(207\) 11.7789 + 8.53636i 0.818691 + 0.593318i
\(208\) −0.879475 3.49664i −0.0609807 0.242449i
\(209\) 16.5932 1.14777
\(210\) 11.9027 12.6259i 0.821363 0.871270i
\(211\) 11.5387 19.9857i 0.794360 1.37587i −0.128885 0.991660i \(-0.541140\pi\)
0.923245 0.384213i \(-0.125527\pi\)
\(212\) −5.41458 3.12611i −0.371875 0.214702i
\(213\) 12.7794 19.7043i 0.875627 1.35012i
\(214\) 8.84801i 0.604837i
\(215\) 2.92490 + 1.68869i 0.199477 + 0.115168i
\(216\) 5.13363 + 0.803642i 0.349299 + 0.0546809i
\(217\) 3.32699 + 2.82603i 0.225851 + 0.191844i
\(218\) −2.56093 1.47855i −0.173448 0.100140i
\(219\) 7.57956 + 0.392680i 0.512179 + 0.0265348i
\(220\) 19.0468 + 10.9967i 1.28413 + 0.741395i
\(221\) −3.99233 15.8728i −0.268553 1.06772i
\(222\) −1.54189 + 0.786794i −0.103485 + 0.0528061i
\(223\) 8.68120 15.0363i 0.581336 1.00690i −0.413985 0.910284i \(-0.635864\pi\)
0.995321 0.0966199i \(-0.0308031\pi\)
\(224\) −0.475130 + 2.60274i −0.0317459 + 0.173903i
\(225\) 11.4243 + 25.5770i 0.761621 + 1.70513i
\(226\) 8.71628 5.03235i 0.579798 0.334747i
\(227\) 19.1522i 1.27118i 0.772027 + 0.635589i \(0.219243\pi\)
−0.772027 + 0.635589i \(0.780757\pi\)
\(228\) −4.94143 0.256004i −0.327254 0.0169543i
\(229\) −8.79153 15.2274i −0.580960 1.00625i −0.995366 0.0961607i \(-0.969344\pi\)
0.414405 0.910092i \(-0.363990\pi\)
\(230\) −9.18028 15.9007i −0.605330 1.04846i
\(231\) −19.3678 18.2584i −1.27431 1.20131i
\(232\) −2.20269 1.27172i −0.144614 0.0834927i
\(233\) −1.22176 + 0.705386i −0.0800405 + 0.0462114i −0.539486 0.841995i \(-0.681381\pi\)
0.459446 + 0.888206i \(0.348048\pi\)
\(234\) −10.0422 4.01928i −0.656478 0.262749i
\(235\) 13.6302 23.6082i 0.889137 1.54003i
\(236\) 10.0175i 0.652087i
\(237\) 15.8369 24.4187i 1.02872 1.58616i
\(238\) −2.15682 + 11.8150i −0.139806 + 0.765852i
\(239\) 22.2321 1.43807 0.719037 0.694972i \(-0.244583\pi\)
0.719037 + 0.694972i \(0.244583\pi\)
\(240\) −5.50246 3.56866i −0.355182 0.230356i
\(241\) 12.1874 0.785057 0.392528 0.919740i \(-0.371600\pi\)
0.392528 + 0.919740i \(0.371600\pi\)
\(242\) 11.3686 19.6910i 0.730801 1.26578i
\(243\) 10.9897 11.0556i 0.704988 0.709219i
\(244\) −3.15624 1.82226i −0.202058 0.116658i
\(245\) 26.1563 4.28756i 1.67107 0.273922i
\(246\) 0.360834 6.96487i 0.0230059 0.444064i
\(247\) 9.90703 + 2.81870i 0.630369 + 0.179349i
\(248\) 0.824954 1.42886i 0.0523846 0.0907328i
\(249\) 18.4698 9.42475i 1.17047 0.597269i
\(250\) 16.4238i 1.03873i
\(251\) 4.15920 + 7.20395i 0.262527 + 0.454709i 0.966913 0.255108i \(-0.0821109\pi\)
−0.704386 + 0.709817i \(0.748778\pi\)
\(252\) 5.48603 + 5.73616i 0.345587 + 0.361344i
\(253\) −24.3913 + 14.0823i −1.53347 + 0.885347i
\(254\) 0.534780 0.926266i 0.0335551 0.0581191i
\(255\) −24.9781 16.1997i −1.56419 1.01447i
\(256\) 1.00000 0.0625000
\(257\) 22.0410 1.37488 0.687438 0.726243i \(-0.258735\pi\)
0.687438 + 0.726243i \(0.258735\pi\)
\(258\) −0.840647 + 1.29618i −0.0523364 + 0.0806966i
\(259\) −2.60120 0.474849i −0.161631 0.0295057i
\(260\) 9.50397 + 9.80111i 0.589411 + 0.607839i
\(261\) −6.96694 + 3.11188i −0.431243 + 0.192620i
\(262\) −6.27140 10.8624i −0.387448 0.671080i
\(263\) 14.9822 8.64996i 0.923840 0.533379i 0.0389820 0.999240i \(-0.487588\pi\)
0.884858 + 0.465861i \(0.154255\pi\)
\(264\) −5.47423 + 8.44064i −0.336916 + 0.519485i
\(265\) 23.6739 1.45428
\(266\) −5.76059 4.89319i −0.353204 0.300021i
\(267\) −3.37606 + 1.72273i −0.206611 + 0.105430i
\(268\) −9.24567 + 5.33799i −0.564769 + 0.326070i
\(269\) 7.57009 0.461557 0.230778 0.973006i \(-0.425873\pi\)
0.230778 + 0.973006i \(0.425873\pi\)
\(270\) −18.3557 + 7.08391i −1.11709 + 0.431113i
\(271\) −2.07387 −0.125979 −0.0629893 0.998014i \(-0.520063\pi\)
−0.0629893 + 0.998014i \(0.520063\pi\)
\(272\) 4.53944 0.275244
\(273\) −8.46208 14.1913i −0.512148 0.858897i
\(274\) −15.5523 −0.939547
\(275\) −54.2356 −3.27053
\(276\) 7.48098 3.81739i 0.450302 0.229780i
\(277\) −23.6718 −1.42230 −0.711150 0.703040i \(-0.751825\pi\)
−0.711150 + 0.703040i \(0.751825\pi\)
\(278\) 7.60046 4.38812i 0.455845 0.263182i
\(279\) −2.01864 4.51938i −0.120853 0.270568i
\(280\) −3.36958 9.43442i −0.201371 0.563815i
\(281\) −25.8285 −1.54080 −0.770400 0.637561i \(-0.779944\pi\)
−0.770400 + 0.637561i \(0.779944\pi\)
\(282\) 10.4620 + 6.78524i 0.623006 + 0.404055i
\(283\) −14.5695 + 8.41173i −0.866070 + 0.500026i −0.866040 0.499974i \(-0.833343\pi\)
−2.94496e−5 1.00000i \(0.500009\pi\)
\(284\) −6.77969 11.7428i −0.402301 0.696805i
\(285\) 16.6886 8.51585i 0.988547 0.504435i
\(286\) 15.0347 14.5788i 0.889018 0.862065i
\(287\) 6.89688 8.11946i 0.407110 0.479277i
\(288\) 1.76045 2.42916i 0.103735 0.143140i
\(289\) 3.60655 0.212150
\(290\) 9.63072 0.565535
\(291\) −11.8934 + 18.3383i −0.697206 + 1.07501i
\(292\) 2.19097 3.79486i 0.128217 0.222078i
\(293\) −23.6154 + 13.6344i −1.37963 + 0.796529i −0.992115 0.125335i \(-0.960000\pi\)
−0.387514 + 0.921864i \(0.626666\pi\)
\(294\) 1.33960 + 12.0501i 0.0781268 + 0.702777i
\(295\) 18.9657 + 32.8495i 1.10422 + 1.91257i
\(296\) 0.999410i 0.0580895i
\(297\) 10.8665 + 28.1571i 0.630541 + 1.63384i
\(298\) 1.53689 2.66197i 0.0890297 0.154204i
\(299\) −16.9551 + 4.26455i −0.980540 + 0.246625i
\(300\) 16.1513 + 0.836763i 0.932498 + 0.0483106i
\(301\) −2.22241 + 0.793749i −0.128097 + 0.0457510i
\(302\) −10.9434 6.31820i −0.629724 0.363571i
\(303\) 9.13405 14.0836i 0.524737 0.809084i
\(304\) −1.42838 + 2.47403i −0.0819233 + 0.141895i
\(305\) 13.7999 0.790180
\(306\) 7.99146 11.0270i 0.456841 0.630374i
\(307\) −22.9818 −1.31164 −0.655821 0.754917i \(-0.727677\pi\)
−0.655821 + 0.754917i \(0.727677\pi\)
\(308\) −14.4722 + 5.16884i −0.824628 + 0.294522i
\(309\) 4.94054 + 3.20422i 0.281058 + 0.182282i
\(310\) 6.24735i 0.354826i
\(311\) 15.9662 27.6543i 0.905360 1.56813i 0.0849258 0.996387i \(-0.472935\pi\)
0.820434 0.571742i \(-0.193732\pi\)
\(312\) −4.70224 + 4.10961i −0.266212 + 0.232661i
\(313\) −5.32050 + 3.07179i −0.300732 + 0.173628i −0.642772 0.766058i \(-0.722216\pi\)
0.342039 + 0.939686i \(0.388882\pi\)
\(314\) −8.31434 4.80029i −0.469205 0.270896i
\(315\) −28.8497 8.42358i −1.62550 0.474615i
\(316\) −8.40177 14.5523i −0.472637 0.818631i
\(317\) 7.01958 + 12.1583i 0.394259 + 0.682877i 0.993006 0.118061i \(-0.0376679\pi\)
−0.598747 + 0.800938i \(0.704335\pi\)
\(318\) −0.560282 + 10.8146i −0.0314191 + 0.606455i
\(319\) 14.7733i 0.827145i
\(320\) −3.27919 + 1.89324i −0.183313 + 0.105836i
\(321\) −13.6507 + 6.96566i −0.761907 + 0.388785i
\(322\) 12.6206 + 2.30389i 0.703319 + 0.128391i
\(323\) −6.48406 + 11.2307i −0.360783 + 0.624894i
\(324\) −2.80163 8.55283i −0.155646 0.475157i
\(325\) −32.3816 9.21305i −1.79621 0.511048i
\(326\) −5.52266 3.18851i −0.305872 0.176595i
\(327\) −0.264996 + 5.11499i −0.0146543 + 0.282860i
\(328\) −3.48711 2.01328i −0.192543 0.111165i
\(329\) 6.40671 + 17.9380i 0.353213 + 0.988956i
\(330\) 1.97090 38.0425i 0.108494 2.09417i
\(331\) −7.16125 4.13455i −0.393618 0.227256i 0.290108 0.956994i \(-0.406309\pi\)
−0.683727 + 0.729738i \(0.739642\pi\)
\(332\) 11.9716i 0.657027i
\(333\) 2.42773 + 1.75941i 0.133039 + 0.0964151i
\(334\) −6.39087 3.68977i −0.349693 0.201895i
\(335\) 20.2122 35.0086i 1.10431 1.91272i
\(336\) 4.38955 1.31600i 0.239470 0.0717936i
\(337\) 8.78687 0.478651 0.239326 0.970939i \(-0.423074\pi\)
0.239326 + 0.970939i \(0.423074\pi\)
\(338\) 11.4530 6.15043i 0.622964 0.334539i
\(339\) −14.6259 9.48570i −0.794368 0.515193i
\(340\) −14.8857 + 8.59427i −0.807291 + 0.466090i
\(341\) 9.58328 0.518964
\(342\) 3.49522 + 7.82518i 0.189000 + 0.423137i
\(343\) −9.54868 + 15.8689i −0.515580 + 0.856841i
\(344\) 0.445979 + 0.772459i 0.0240456 + 0.0416482i
\(345\) −17.3043 + 26.6813i −0.931634 + 1.43647i
\(346\) 2.54914 4.41523i 0.137042 0.237364i
\(347\) 16.4055i 0.880693i 0.897828 + 0.440347i \(0.145144\pi\)
−0.897828 + 0.440347i \(0.854856\pi\)
\(348\) −0.227927 + 4.39948i −0.0122182 + 0.235837i
\(349\) 4.38530 7.59556i 0.234740 0.406581i −0.724457 0.689320i \(-0.757910\pi\)
0.959197 + 0.282739i \(0.0912429\pi\)
\(350\) 18.8288 + 15.9936i 1.00644 + 0.854897i
\(351\) 1.70485 + 18.6573i 0.0909983 + 0.995851i
\(352\) 2.90419 + 5.03020i 0.154794 + 0.268110i
\(353\) 16.9161 9.76652i 0.900353 0.519819i 0.0230385 0.999735i \(-0.492666\pi\)
0.877315 + 0.479915i \(0.159333\pi\)
\(354\) −15.4550 + 7.88639i −0.821427 + 0.419157i
\(355\) 44.4639 + 25.6712i 2.35990 + 1.36249i
\(356\) 2.18827i 0.115978i
\(357\) 19.9261 5.97390i 1.05460 0.316172i
\(358\) 7.44227 4.29680i 0.393336 0.227093i
\(359\) 1.54798 + 2.68118i 0.0816994 + 0.141507i 0.903980 0.427575i \(-0.140632\pi\)
−0.822281 + 0.569082i \(0.807299\pi\)
\(360\) −1.17386 + 11.2986i −0.0618681 + 0.595491i
\(361\) 5.41945 + 9.38676i 0.285234 + 0.494040i
\(362\) 2.78775i 0.146521i
\(363\) −39.3292 2.03756i −2.06425 0.106944i
\(364\) −9.51872 + 0.627686i −0.498916 + 0.0328997i
\(365\) 16.5921i 0.868472i
\(366\) −0.326597 + 6.30402i −0.0170715 + 0.329517i
\(367\) 7.02340 4.05496i 0.366619 0.211667i −0.305362 0.952236i \(-0.598777\pi\)
0.671980 + 0.740569i \(0.265444\pi\)
\(368\) 4.84897i 0.252770i
\(369\) −11.0295 + 4.92646i −0.574171 + 0.256461i
\(370\) −1.89213 3.27726i −0.0983670 0.170377i
\(371\) −10.7091 + 12.6074i −0.555987 + 0.654545i
\(372\) −2.85390 0.147854i −0.147968 0.00766586i
\(373\) 10.1944 17.6572i 0.527845 0.914255i −0.471628 0.881798i \(-0.656333\pi\)
0.999473 0.0324572i \(-0.0103333\pi\)
\(374\) 13.1834 + 22.8343i 0.681697 + 1.18073i
\(375\) −25.3386 + 12.9298i −1.30848 + 0.667691i
\(376\) 6.23486 3.59970i 0.321538 0.185640i
\(377\) 2.50955 8.82046i 0.129248 0.454277i
\(378\) 4.53081 12.9797i 0.233040 0.667602i
\(379\) −16.2771 9.39758i −0.836098 0.482721i 0.0198382 0.999803i \(-0.493685\pi\)
−0.855936 + 0.517082i \(0.827018\pi\)
\(380\) 10.8171i 0.554906i
\(381\) −1.85005 0.0958468i −0.0947809 0.00491038i
\(382\) 16.9062 + 9.76080i 0.864997 + 0.499406i
\(383\) 21.4155 + 12.3643i 1.09428 + 0.631785i 0.934714 0.355402i \(-0.115656\pi\)
0.159570 + 0.987187i \(0.448989\pi\)
\(384\) −0.787258 1.54280i −0.0401746 0.0787306i
\(385\) 37.6711 44.3490i 1.91990 2.26023i
\(386\) −5.49481 + 3.17243i −0.279679 + 0.161472i
\(387\) 2.66155 + 0.276520i 0.135294 + 0.0140563i
\(388\) 6.30970 + 10.9287i 0.320327 + 0.554822i
\(389\) −7.93751 4.58272i −0.402448 0.232353i 0.285092 0.958500i \(-0.407976\pi\)
−0.687540 + 0.726147i \(0.741309\pi\)
\(390\) 7.63906 22.3787i 0.386819 1.13319i
\(391\) 22.0116i 1.11318i
\(392\) 6.54850 + 2.47328i 0.330749 + 0.124919i
\(393\) −11.8213 + 18.2270i −0.596303 + 0.919431i
\(394\) 4.25750 7.37421i 0.214490 0.371507i
\(395\) 55.1021 + 31.8132i 2.77249 + 1.60070i
\(396\) 17.3318 + 1.80068i 0.870957 + 0.0904874i
\(397\) 1.69223 2.93103i 0.0849306 0.147104i −0.820431 0.571746i \(-0.806266\pi\)
0.905362 + 0.424641i \(0.139600\pi\)
\(398\) 1.69156i 0.0847905i
\(399\) −3.01413 + 12.7396i −0.150895 + 0.637779i
\(400\) 4.66874 8.08650i 0.233437 0.404325i
\(401\) 7.25130 0.362112 0.181056 0.983473i \(-0.442048\pi\)
0.181056 + 0.983473i \(0.442048\pi\)
\(402\) 15.5142 + 10.0618i 0.773776 + 0.501838i
\(403\) 5.72175 + 1.62792i 0.285021 + 0.0810925i
\(404\) −4.84579 8.39315i −0.241087 0.417575i
\(405\) 25.3797 + 22.7422i 1.26113 + 1.13007i
\(406\) −4.35652 + 5.12879i −0.216211 + 0.254538i
\(407\) −5.02723 + 2.90247i −0.249191 + 0.143870i
\(408\) −3.57371 7.00344i −0.176925 0.346722i
\(409\) 1.57460 0.0778592 0.0389296 0.999242i \(-0.487605\pi\)
0.0389296 + 0.999242i \(0.487605\pi\)
\(410\) 15.2465 0.752973
\(411\) 12.2437 + 23.9940i 0.603935 + 1.18354i
\(412\) 2.94432 1.69990i 0.145056 0.0837482i
\(413\) −26.0731 4.75963i −1.28297 0.234206i
\(414\) −11.7789 8.53636i −0.578902 0.419539i
\(415\) 22.6652 + 39.2572i 1.11259 + 1.92706i
\(416\) 0.879475 + 3.49664i 0.0431198 + 0.171437i
\(417\) −12.7535 8.27138i −0.624542 0.405051i
\(418\) −16.5932 −0.811598
\(419\) 13.4922 23.3691i 0.659136 1.14166i −0.321704 0.946840i \(-0.604255\pi\)
0.980840 0.194817i \(-0.0624112\pi\)
\(420\) −11.9027 + 12.6259i −0.580791 + 0.616081i
\(421\) 13.0461i 0.635827i −0.948120 0.317913i \(-0.897018\pi\)
0.948120 0.317913i \(-0.102982\pi\)
\(422\) −11.5387 + 19.9857i −0.561697 + 0.972889i
\(423\) 2.23191 21.4826i 0.108519 1.04452i
\(424\) 5.41458 + 3.12611i 0.262955 + 0.151817i
\(425\) 21.1935 36.7082i 1.02804 1.78061i
\(426\) −12.7794 + 19.7043i −0.619162 + 0.954676i
\(427\) −6.24248 + 7.34906i −0.302095 + 0.355646i
\(428\) 8.84801i 0.427684i
\(429\) −34.3284 11.7181i −1.65739 0.565756i
\(430\) −2.92490 1.68869i −0.141051 0.0814361i
\(431\) −18.2521 31.6136i −0.879173 1.52277i −0.852250 0.523135i \(-0.824762\pi\)
−0.0269232 0.999638i \(-0.508571\pi\)
\(432\) −5.13363 0.803642i −0.246992 0.0386652i
\(433\) −23.6502 + 13.6545i −1.13656 + 0.656192i −0.945576 0.325402i \(-0.894501\pi\)
−0.190982 + 0.981594i \(0.561167\pi\)
\(434\) −3.32699 2.82603i −0.159701 0.135654i
\(435\) −7.58186 14.8583i −0.363522 0.712399i
\(436\) 2.56093 + 1.47855i 0.122646 + 0.0708098i
\(437\) 11.9965 + 6.92618i 0.573870 + 0.331324i
\(438\) −7.57956 0.392680i −0.362166 0.0187630i
\(439\) 0.455718i 0.0217502i −0.999941 0.0108751i \(-0.996538\pi\)
0.999941 0.0108751i \(-0.00346172\pi\)
\(440\) −19.0468 10.9967i −0.908020 0.524245i
\(441\) 17.5363 11.5533i 0.835062 0.550156i
\(442\) 3.99233 + 15.8728i 0.189896 + 0.754993i
\(443\) 23.2231 13.4079i 1.10337 0.637028i 0.166262 0.986082i \(-0.446830\pi\)
0.937103 + 0.349053i \(0.113497\pi\)
\(444\) 1.54189 0.786794i 0.0731747 0.0373396i
\(445\) −4.14293 7.17576i −0.196394 0.340164i
\(446\) −8.68120 + 15.0363i −0.411067 + 0.711988i
\(447\) −5.31681 0.275452i −0.251477 0.0130284i
\(448\) 0.475130 2.60274i 0.0224478 0.122968i
\(449\) 0.402024 + 0.696326i 0.0189727 + 0.0328616i 0.875356 0.483479i \(-0.160627\pi\)
−0.856383 + 0.516341i \(0.827294\pi\)
\(450\) −11.4243 25.5770i −0.538547 1.20571i
\(451\) 23.3878i 1.10129i
\(452\) −8.71628 + 5.03235i −0.409979 + 0.236702i
\(453\) −1.13239 + 21.8576i −0.0532043 + 1.02696i
\(454\) 19.1522i 0.898859i
\(455\) 30.0254 20.0796i 1.40761 0.941344i
\(456\) 4.94143 + 0.256004i 0.231404 + 0.0119885i
\(457\) 15.2345i 0.712641i 0.934364 + 0.356321i \(0.115969\pi\)
−0.934364 + 0.356321i \(0.884031\pi\)
\(458\) 8.79153 + 15.2274i 0.410801 + 0.711528i
\(459\) −23.3038 3.64809i −1.08773 0.170278i
\(460\) 9.18028 + 15.9007i 0.428033 + 0.741374i
\(461\) 11.4420 6.60603i 0.532906 0.307673i −0.209293 0.977853i \(-0.567116\pi\)
0.742199 + 0.670180i \(0.233783\pi\)
\(462\) 19.3678 + 18.2584i 0.901072 + 0.849458i
\(463\) 15.4572i 0.718355i −0.933269 0.359177i \(-0.883057\pi\)
0.933269 0.359177i \(-0.116943\pi\)
\(464\) 2.20269 + 1.27172i 0.102257 + 0.0590382i
\(465\) 9.63840 4.91828i 0.446970 0.228080i
\(466\) 1.22176 0.705386i 0.0565972 0.0326764i
\(467\) 0.665574 + 1.15281i 0.0307991 + 0.0533456i 0.881014 0.473090i \(-0.156861\pi\)
−0.850215 + 0.526436i \(0.823528\pi\)
\(468\) 10.0422 + 4.01928i 0.464200 + 0.185791i
\(469\) 9.50050 + 26.6003i 0.438693 + 1.22829i
\(470\) −13.6302 + 23.6082i −0.628715 + 1.08897i
\(471\) −0.860340 + 16.6064i −0.0396424 + 0.765183i
\(472\) 10.0175i 0.461095i
\(473\) −2.59041 + 4.48673i −0.119107 + 0.206300i
\(474\) −15.8369 + 24.4187i −0.727412 + 1.12159i
\(475\) 13.3375 + 23.1012i 0.611966 + 1.05996i
\(476\) 2.15682 11.8150i 0.0988579 0.541539i
\(477\) 17.1259 7.64952i 0.784141 0.350247i
\(478\) −22.2321 −1.01687
\(479\) 12.4718 7.20059i 0.569851 0.329003i −0.187239 0.982314i \(-0.559954\pi\)
0.757090 + 0.653311i \(0.226621\pi\)
\(480\) 5.50246 + 3.56866i 0.251152 + 0.162886i
\(481\) −3.49458 + 0.878957i −0.159339 + 0.0400770i
\(482\) −12.1874 −0.555119
\(483\) −6.38124 21.2848i −0.290356 0.968491i
\(484\) −11.3686 + 19.6910i −0.516754 + 0.895045i
\(485\) −41.3815 23.8916i −1.87904 1.08486i
\(486\) −10.9897 + 11.0556i −0.498502 + 0.501494i
\(487\) 30.5356i 1.38370i 0.722042 + 0.691849i \(0.243204\pi\)
−0.722042 + 0.691849i \(0.756796\pi\)
\(488\) 3.15624 + 1.82226i 0.142876 + 0.0824896i
\(489\) −0.571466 + 11.0305i −0.0258426 + 0.498817i
\(490\) −26.1563 + 4.28756i −1.18162 + 0.193692i
\(491\) 2.79101 + 1.61139i 0.125957 + 0.0727211i 0.561655 0.827372i \(-0.310165\pi\)
−0.435698 + 0.900093i \(0.643498\pi\)
\(492\) −0.360834 + 6.96487i −0.0162677 + 0.314001i
\(493\) 9.99898 + 5.77291i 0.450331 + 0.259999i
\(494\) −9.90703 2.81870i −0.445738 0.126819i
\(495\) −60.2435 + 26.9086i −2.70775 + 1.20945i
\(496\) −0.824954 + 1.42886i −0.0370415 + 0.0641578i
\(497\) −33.7846 + 12.0664i −1.51545 + 0.541254i
\(498\) −18.4698 + 9.42475i −0.827650 + 0.422333i
\(499\) 15.8562 9.15459i 0.709821 0.409816i −0.101173 0.994869i \(-0.532260\pi\)
0.810995 + 0.585053i \(0.198926\pi\)
\(500\) 16.4238i 0.734495i
\(501\) −0.661306 + 12.7646i −0.0295450 + 0.570281i
\(502\) −4.15920 7.20395i −0.185634 0.321528i
\(503\) −4.84489 8.39159i −0.216023 0.374162i 0.737566 0.675275i \(-0.235975\pi\)
−0.953588 + 0.301113i \(0.902642\pi\)
\(504\) −5.48603 5.73616i −0.244367 0.255509i
\(505\) 31.7806 + 18.3485i 1.41422 + 0.816498i
\(506\) 24.3913 14.0823i 1.08432 0.626035i
\(507\) −18.5054 12.8278i −0.821852 0.569701i
\(508\) −0.534780 + 0.926266i −0.0237270 + 0.0410964i
\(509\) 32.4912i 1.44015i 0.693897 + 0.720074i \(0.255892\pi\)
−0.693897 + 0.720074i \(0.744108\pi\)
\(510\) 24.9781 + 16.1997i 1.10605 + 0.717336i
\(511\) −8.83605 7.50556i −0.390884 0.332027i
\(512\) −1.00000 −0.0441942
\(513\) 9.32102 11.5529i 0.411533 0.510071i
\(514\) −22.0410 −0.972185
\(515\) −6.43666 + 11.1486i −0.283633 + 0.491267i
\(516\) 0.840647 1.29618i 0.0370074 0.0570611i
\(517\) 36.2144 + 20.9084i 1.59271 + 0.919550i
\(518\) 2.60120 + 0.474849i 0.114290 + 0.0208637i
\(519\) −8.81864 0.456874i −0.387095 0.0200545i
\(520\) −9.50397 9.80111i −0.416777 0.429807i
\(521\) −21.3684 + 37.0111i −0.936166 + 1.62149i −0.163624 + 0.986523i \(0.552318\pi\)
−0.772542 + 0.634964i \(0.781015\pi\)
\(522\) 6.96694 3.11188i 0.304935 0.136203i
\(523\) 0.499654i 0.0218484i −0.999940 0.0109242i \(-0.996523\pi\)
0.999940 0.0109242i \(-0.00347734\pi\)
\(524\) 6.27140 + 10.8624i 0.273967 + 0.474526i
\(525\) 9.85185 41.6401i 0.429970 1.81732i
\(526\) −14.9822 + 8.64996i −0.653254 + 0.377156i
\(527\) −3.74483 + 6.48624i −0.163127 + 0.282545i
\(528\) 5.47423 8.44064i 0.238235 0.367332i
\(529\) −0.512495 −0.0222824
\(530\) −23.6739 −1.02833
\(531\) 24.3342 + 17.6354i 1.05602 + 0.765311i
\(532\) 5.76059 + 4.89319i 0.249753 + 0.212147i
\(533\) 3.97291 13.9638i 0.172086 0.604840i
\(534\) 3.37606 1.72273i 0.146096 0.0745500i
\(535\) −16.7514 29.0143i −0.724227 1.25440i
\(536\) 9.24567 5.33799i 0.399352 0.230566i
\(537\) −12.4881 8.09923i −0.538900 0.349507i
\(538\) −7.57009 −0.326370
\(539\) 6.57700 + 40.1231i 0.283291 + 1.72823i
\(540\) 18.3557 7.08391i 0.789902 0.304843i
\(541\) −14.9336 + 8.62192i −0.642046 + 0.370685i −0.785402 0.618986i \(-0.787544\pi\)
0.143356 + 0.989671i \(0.454210\pi\)
\(542\) 2.07387 0.0890803
\(543\) −4.30093 + 2.19467i −0.184570 + 0.0941825i
\(544\) −4.53944 −0.194627
\(545\) −11.1970 −0.479628
\(546\) 8.46208 + 14.1913i 0.362144 + 0.607332i
\(547\) 22.0489 0.942741 0.471370 0.881935i \(-0.343759\pi\)
0.471370 + 0.881935i \(0.343759\pi\)
\(548\) 15.5523 0.664360
\(549\) 9.98295 4.45902i 0.426062 0.190306i
\(550\) 54.2356 2.31261
\(551\) −6.29256 + 3.63301i −0.268072 + 0.154771i
\(552\) −7.48098 + 3.81739i −0.318412 + 0.162479i
\(553\) −41.8678 + 14.9534i −1.78040 + 0.635883i
\(554\) 23.6718 1.00572
\(555\) −3.56656 + 5.49922i −0.151392 + 0.233429i
\(556\) −7.60046 + 4.38812i −0.322331 + 0.186098i
\(557\) −7.59729 13.1589i −0.321908 0.557560i 0.658974 0.752166i \(-0.270991\pi\)
−0.980882 + 0.194605i \(0.937657\pi\)
\(558\) 2.01864 + 4.51938i 0.0854560 + 0.191321i
\(559\) −2.30879 + 2.23879i −0.0976512 + 0.0946907i
\(560\) 3.36958 + 9.43442i 0.142391 + 0.398677i
\(561\) 24.8500 38.3158i 1.04917 1.61769i
\(562\) 25.8285 1.08951
\(563\) 2.63574 0.111083 0.0555416 0.998456i \(-0.482311\pi\)
0.0555416 + 0.998456i \(0.482311\pi\)
\(564\) −10.4620 6.78524i −0.440532 0.285710i
\(565\) 19.0549 33.0041i 0.801646 1.38849i
\(566\) 14.5695 8.41173i 0.612404 0.353571i
\(567\) −23.5919 + 3.22822i −0.990767 + 0.135573i
\(568\) 6.77969 + 11.7428i 0.284470 + 0.492716i
\(569\) 44.2841i 1.85649i −0.371973 0.928244i \(-0.621319\pi\)
0.371973 0.928244i \(-0.378681\pi\)
\(570\) −16.6886 + 8.51585i −0.699008 + 0.356690i
\(571\) −1.88780 + 3.26977i −0.0790021 + 0.136836i −0.902820 0.430019i \(-0.858507\pi\)
0.823818 + 0.566855i \(0.191840\pi\)
\(572\) −15.0347 + 14.5788i −0.628630 + 0.609572i
\(573\) 1.74940 33.7671i 0.0730821 1.41064i
\(574\) −6.89688 + 8.11946i −0.287870 + 0.338900i
\(575\) −39.2112 22.6386i −1.63522 0.944094i
\(576\) −1.76045 + 2.42916i −0.0733521 + 0.101215i
\(577\) 11.1370 19.2899i 0.463640 0.803048i −0.535499 0.844536i \(-0.679877\pi\)
0.999139 + 0.0414882i \(0.0132099\pi\)
\(578\) −3.60655 −0.150013
\(579\) 9.22025 + 5.97986i 0.383181 + 0.248515i
\(580\) −9.63072 −0.399894
\(581\) −31.1590 5.68807i −1.29269 0.235981i
\(582\) 11.8934 18.3383i 0.492999 0.760148i
\(583\) 36.3152i 1.50402i
\(584\) −2.19097 + 3.79486i −0.0906628 + 0.157033i
\(585\) −40.5397 + 5.83230i −1.67611 + 0.241136i
\(586\) 23.6154 13.6344i 0.975545 0.563231i
\(587\) −18.7811 10.8433i −0.775179 0.447550i 0.0595402 0.998226i \(-0.481037\pi\)
−0.834719 + 0.550676i \(0.814370\pi\)
\(588\) −1.33960 12.0501i −0.0552440 0.496939i
\(589\) −2.35670 4.08192i −0.0971061 0.168193i
\(590\) −18.9657 32.8495i −0.780804 1.35239i
\(591\) −14.7287 0.763058i −0.605856 0.0313880i
\(592\) 0.999410i 0.0410755i
\(593\) −2.83216 + 1.63515i −0.116303 + 0.0671475i −0.557023 0.830497i \(-0.688056\pi\)
0.440720 + 0.897645i \(0.354723\pi\)
\(594\) −10.8665 28.1571i −0.445860 1.15530i
\(595\) 15.2960 + 42.8270i 0.627075 + 1.75574i
\(596\) −1.53689 + 2.66197i −0.0629535 + 0.109039i
\(597\) 2.60974 1.33170i 0.106810 0.0545028i
\(598\) 16.9551 4.26455i 0.693346 0.174390i
\(599\) 17.7669 + 10.2577i 0.725935 + 0.419119i 0.816933 0.576732i \(-0.195672\pi\)
−0.0909981 + 0.995851i \(0.529006\pi\)
\(600\) −16.1513 0.836763i −0.659375 0.0341607i
\(601\) −25.4328 14.6836i −1.03743 0.598958i −0.118322 0.992975i \(-0.537752\pi\)
−0.919103 + 0.394017i \(0.871085\pi\)
\(602\) 2.22241 0.793749i 0.0905785 0.0323508i
\(603\) 3.30970 31.8565i 0.134782 1.29730i
\(604\) 10.9434 + 6.31820i 0.445282 + 0.257084i
\(605\) 86.0941i 3.50022i
\(606\) −9.13405 + 14.0836i −0.371045 + 0.572109i
\(607\) 6.35329 + 3.66808i 0.257872 + 0.148883i 0.623364 0.781932i \(-0.285766\pi\)
−0.365491 + 0.930815i \(0.619099\pi\)
\(608\) 1.42838 2.47403i 0.0579286 0.100335i
\(609\) 11.3424 + 2.68355i 0.459617 + 0.108743i
\(610\) −13.7999 −0.558741
\(611\) 18.0703 + 18.6352i 0.731045 + 0.753901i
\(612\) −7.99146 + 11.0270i −0.323036 + 0.445741i
\(613\) 8.59919 4.96474i 0.347318 0.200524i −0.316185 0.948697i \(-0.602402\pi\)
0.663503 + 0.748173i \(0.269069\pi\)
\(614\) 22.9818 0.927470
\(615\) −12.0030 23.5223i −0.484006 0.948512i
\(616\) 14.4722 5.16884i 0.583100 0.208259i
\(617\) 9.05420 + 15.6823i 0.364508 + 0.631347i 0.988697 0.149927i \(-0.0479038\pi\)
−0.624189 + 0.781273i \(0.714570\pi\)
\(618\) −4.94054 3.20422i −0.198738 0.128893i
\(619\) −24.1824 + 41.8852i −0.971973 + 1.68351i −0.282392 + 0.959299i \(0.591128\pi\)
−0.689582 + 0.724208i \(0.742206\pi\)
\(620\) 6.24735i 0.250900i
\(621\) −3.89683 + 24.8928i −0.156375 + 0.998914i
\(622\) −15.9662 + 27.6543i −0.640186 + 1.10883i
\(623\) 5.69550 + 1.03971i 0.228185 + 0.0416552i
\(624\) 4.70224 4.10961i 0.188240 0.164516i
\(625\) −7.75058 13.4244i −0.310023 0.536976i
\(626\) 5.32050 3.07179i 0.212650 0.122773i
\(627\) 13.0631 + 25.5999i 0.521690 + 1.02236i
\(628\) 8.31434 + 4.80029i 0.331778 + 0.191552i
\(629\) 4.53677i 0.180893i
\(630\) 28.8497 + 8.42358i 1.14940 + 0.335604i
\(631\) 12.4784 7.20438i 0.496756 0.286802i −0.230617 0.973045i \(-0.574075\pi\)
0.727373 + 0.686243i \(0.240741\pi\)
\(632\) 8.40177 + 14.5523i 0.334205 + 0.578859i
\(633\) 39.9179 + 2.06805i 1.58659 + 0.0821977i
\(634\) −7.01958 12.1583i −0.278783 0.482867i
\(635\) 4.04987i 0.160714i
\(636\) 0.560282 10.8146i 0.0222166 0.428829i
\(637\) −2.88892 + 25.0730i −0.114463 + 0.993427i
\(638\) 14.7733i 0.584880i
\(639\) 40.4604 + 4.20360i 1.60059 + 0.166292i
\(640\) 3.27919 1.89324i 0.129622 0.0748370i
\(641\) 8.01456i 0.316556i −0.987395 0.158278i \(-0.949406\pi\)
0.987395 0.158278i \(-0.0505942\pi\)
\(642\) 13.6507 6.96566i 0.538749 0.274913i
\(643\) −13.5619 23.4899i −0.534830 0.926353i −0.999172 0.0406964i \(-0.987042\pi\)
0.464342 0.885656i \(-0.346291\pi\)
\(644\) −12.6206 2.30389i −0.497321 0.0907859i
\(645\) −0.302659 + 5.84197i −0.0119172 + 0.230027i
\(646\) 6.48406 11.2307i 0.255112 0.441867i
\(647\) −7.96876 13.8023i −0.313284 0.542624i 0.665787 0.746142i \(-0.268096\pi\)
−0.979071 + 0.203518i \(0.934763\pi\)
\(648\) 2.80163 + 8.55283i 0.110059 + 0.335987i
\(649\) −50.3902 + 29.0928i −1.97799 + 1.14199i
\(650\) 32.3816 + 9.21305i 1.27011 + 0.361366i
\(651\) −1.74080 + 7.35770i −0.0682272 + 0.288371i
\(652\) 5.52266 + 3.18851i 0.216284 + 0.124872i
\(653\) 42.3070i 1.65560i 0.561022 + 0.827801i \(0.310408\pi\)
−0.561022 + 0.827801i \(0.689592\pi\)
\(654\) 0.264996 5.11499i 0.0103622 0.200012i
\(655\) −41.1303 23.7466i −1.60709 0.927856i
\(656\) 3.48711 + 2.01328i 0.136149 + 0.0786055i
\(657\) 5.36125 + 12.0029i 0.209162 + 0.468277i
\(658\) −6.40671 17.9380i −0.249760 0.699298i
\(659\) 32.3775 18.6932i 1.26125 0.728182i 0.287932 0.957651i \(-0.407032\pi\)
0.973316 + 0.229469i \(0.0736989\pi\)
\(660\) −1.97090 + 38.0425i −0.0767170 + 1.48080i
\(661\) −10.4632 18.1227i −0.406970 0.704892i 0.587579 0.809167i \(-0.300081\pi\)
−0.994549 + 0.104275i \(0.966748\pi\)
\(662\) 7.16125 + 4.13455i 0.278330 + 0.160694i
\(663\) 21.3456 18.6554i 0.828993 0.724514i
\(664\) 11.9716i 0.464589i
\(665\) −28.1541 5.13953i −1.09177 0.199302i
\(666\) −2.42773 1.75941i −0.0940725 0.0681758i
\(667\) 6.16654 10.6808i 0.238769 0.413561i
\(668\) 6.39087 + 3.68977i 0.247270 + 0.142761i
\(669\) 30.0323 + 1.55590i 1.16111 + 0.0601547i
\(670\) −20.2122 + 35.0086i −0.780867 + 1.35250i
\(671\) 21.1687i 0.817208i
\(672\) −4.38955 + 1.31600i −0.169331 + 0.0507657i
\(673\) 10.6922 18.5194i 0.412152 0.713869i −0.582973 0.812492i \(-0.698111\pi\)
0.995125 + 0.0986232i \(0.0314439\pi\)
\(674\) −8.78687 −0.338458
\(675\) −30.4662 + 37.7611i −1.17265 + 1.45342i
\(676\) −11.4530 + 6.15043i −0.440502 + 0.236555i
\(677\) −12.4515 21.5666i −0.478550 0.828873i 0.521147 0.853467i \(-0.325504\pi\)
−0.999698 + 0.0245935i \(0.992171\pi\)
\(678\) 14.6259 + 9.48570i 0.561703 + 0.364296i
\(679\) 31.4425 11.2299i 1.20665 0.430966i
\(680\) 14.8857 8.59427i 0.570841 0.329575i
\(681\) −29.5480 + 15.0778i −1.13228 + 0.577781i
\(682\) −9.58328 −0.366963
\(683\) 17.9767 0.687860 0.343930 0.938995i \(-0.388242\pi\)
0.343930 + 0.938995i \(0.388242\pi\)
\(684\) −3.49522 7.82518i −0.133643 0.299203i
\(685\) −50.9989 + 29.4442i −1.94857 + 1.12501i
\(686\) 9.54868 15.8689i 0.364570 0.605878i
\(687\) 16.5716 25.5514i 0.632244 0.974847i
\(688\) −0.445979 0.772459i −0.0170028 0.0294497i
\(689\) −6.16890 + 21.6822i −0.235016 + 0.826025i
\(690\) 17.3043 26.6813i 0.658764 1.01574i
\(691\) 21.1436 0.804341 0.402170 0.915565i \(-0.368256\pi\)
0.402170 + 0.915565i \(0.368256\pi\)
\(692\) −2.54914 + 4.41523i −0.0969036 + 0.167842i
\(693\) 12.9216 44.2547i 0.490849 1.68110i
\(694\) 16.4055i 0.622744i
\(695\) 16.6156 28.7790i 0.630265 1.09165i
\(696\) 0.227927 4.39948i 0.00863954 0.166762i
\(697\) 15.8295 + 9.13918i 0.599586 + 0.346171i
\(698\) −4.38530 + 7.59556i −0.165986 + 0.287496i
\(699\) −2.05011 1.32962i −0.0775424 0.0502907i
\(700\) −18.8288 15.9936i −0.711661 0.604503i
\(701\) 22.8317i 0.862342i −0.902270 0.431171i \(-0.858100\pi\)
0.902270 0.431171i \(-0.141900\pi\)
\(702\) −1.70485 18.6573i −0.0643455 0.704173i
\(703\) 2.47257 + 1.42754i 0.0932548 + 0.0538407i
\(704\) −2.90419 5.03020i −0.109456 0.189583i
\(705\) 47.1532 + 2.44290i 1.77589 + 0.0920049i
\(706\) −16.9161 + 9.76652i −0.636646 + 0.367568i
\(707\) −24.1476 + 8.62449i −0.908163 + 0.324357i
\(708\) 15.4550 7.88639i 0.580836 0.296389i
\(709\) −42.6427 24.6198i −1.60148 0.924615i −0.991191 0.132437i \(-0.957720\pi\)
−0.610289 0.792179i \(-0.708947\pi\)
\(710\) −44.4639 25.6712i −1.66870 0.963424i
\(711\) 50.1408 + 5.20934i 1.88043 + 0.195365i
\(712\) 2.18827i 0.0820089i
\(713\) 6.92851 + 4.00017i 0.259475 + 0.149808i
\(714\) −19.9261 + 5.97390i −0.745716 + 0.223568i
\(715\) 21.7002 76.2711i 0.811543 2.85238i
\(716\) −7.44227 + 4.29680i −0.278131 + 0.160579i
\(717\) 17.5024 + 34.2996i 0.653638 + 1.28094i
\(718\) −1.54798 2.68118i −0.0577702 0.100061i
\(719\) −24.8204 + 42.9901i −0.925643 + 1.60326i −0.135119 + 0.990829i \(0.543142\pi\)
−0.790524 + 0.612431i \(0.790192\pi\)
\(720\) 1.17386 11.2986i 0.0437473 0.421076i
\(721\) −3.02547 8.47096i −0.112674 0.315475i
\(722\) −5.41945 9.38676i −0.201691 0.349339i
\(723\) 9.59460 + 18.8026i 0.356827 + 0.699277i
\(724\) 2.78775i 0.103606i
\(725\) 20.5676 11.8747i 0.763860 0.441015i
\(726\) 39.3292 + 2.03756i 1.45964 + 0.0756208i
\(727\) 24.4519i 0.906870i −0.891289 0.453435i \(-0.850198\pi\)
0.891289 0.453435i \(-0.149802\pi\)
\(728\) 9.51872 0.627686i 0.352787 0.0232636i
\(729\) 25.7083 + 8.25120i 0.952160 + 0.305600i
\(730\) 16.5921i 0.614102i
\(731\) −2.02450 3.50653i −0.0748787 0.129694i
\(732\) 0.326597 6.30402i 0.0120714 0.233003i
\(733\) 1.21258 + 2.10024i 0.0447875 + 0.0775743i 0.887550 0.460711i \(-0.152406\pi\)
−0.842763 + 0.538285i \(0.819072\pi\)
\(734\) −7.02340 + 4.05496i −0.259239 + 0.149671i
\(735\) 27.2066 + 36.9785i 1.00353 + 1.36397i
\(736\) 4.84897i 0.178735i
\(737\) 53.7023 + 31.0050i 1.97815 + 1.14209i
\(738\) 11.0295 4.92646i 0.406000 0.181345i
\(739\) 40.5440 23.4081i 1.49144 0.861081i 0.491484 0.870887i \(-0.336455\pi\)
0.999952 + 0.00980593i \(0.00312138\pi\)
\(740\) 1.89213 + 3.27726i 0.0695560 + 0.120474i
\(741\) 3.45071 + 17.5036i 0.126765 + 0.643010i
\(742\) 10.7091 12.6074i 0.393142 0.462833i
\(743\) −3.32899 + 5.76598i −0.122129 + 0.211533i −0.920607 0.390490i \(-0.872305\pi\)
0.798478 + 0.602024i \(0.205639\pi\)
\(744\) 2.85390 + 0.147854i 0.104629 + 0.00542058i
\(745\) 11.6388i 0.426414i
\(746\) −10.1944 + 17.6572i −0.373243 + 0.646476i
\(747\) 29.0810 + 21.0754i 1.06402 + 0.771109i
\(748\) −13.1834 22.8343i −0.482032 0.834905i
\(749\) 23.0291 + 4.20395i 0.841463 + 0.153609i
\(750\) 25.3386 12.9298i 0.925236 0.472129i
\(751\) −5.99014 −0.218583 −0.109292 0.994010i \(-0.534858\pi\)
−0.109292 + 0.994010i \(0.534858\pi\)
\(752\) −6.23486 + 3.59970i −0.227362 + 0.131267i
\(753\) −7.83987 + 12.0882i −0.285701 + 0.440518i
\(754\) −2.50955 + 8.82046i −0.0913925 + 0.321222i
\(755\) −47.8475 −1.74135
\(756\) −4.53081 + 12.9797i −0.164784 + 0.472066i
\(757\) 25.0828 43.4447i 0.911651 1.57903i 0.0999189 0.994996i \(-0.468142\pi\)
0.811732 0.584030i \(-0.198525\pi\)
\(758\) 16.2771 + 9.39758i 0.591210 + 0.341335i
\(759\) −40.9284 26.5444i −1.48561 0.963500i
\(760\) 10.8171i 0.392378i
\(761\) 7.23145 + 4.17508i 0.262140 + 0.151347i 0.625310 0.780376i \(-0.284972\pi\)
−0.363170 + 0.931723i \(0.618306\pi\)
\(762\) 1.85005 + 0.0958468i 0.0670202 + 0.00347216i
\(763\) 5.06506 5.96292i 0.183367 0.215872i
\(764\) −16.9062 9.76080i −0.611645 0.353133i
\(765\) 5.32869 51.2896i 0.192659 1.85438i
\(766\) −21.4155 12.3643i −0.773775 0.446739i
\(767\) −35.0278 + 8.81019i −1.26478 + 0.318117i
\(768\) 0.787258 + 1.54280i 0.0284077 + 0.0556709i
\(769\) 23.1255 40.0545i 0.833926 1.44440i −0.0609760 0.998139i \(-0.519421\pi\)
0.894902 0.446263i \(-0.147245\pi\)
\(770\) −37.6711 + 44.3490i −1.35757 + 1.59823i
\(771\) 17.3519 + 34.0047i 0.624914 + 1.22465i
\(772\) 5.49481 3.17243i 0.197763 0.114178i
\(773\) 0.668313i 0.0240375i 0.999928 + 0.0120188i \(0.00382578\pi\)
−0.999928 + 0.0120188i \(0.996174\pi\)
\(774\) −2.66155 0.276520i<