Properties

Label 546.2.bi.f.17.5
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 17.5
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.5

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(-0.942473 - 1.45318i) q^{3} +1.00000 q^{4} +(3.27919 - 1.89324i) q^{5} +(-0.942473 - 1.45318i) q^{6} +(0.475130 - 2.60274i) q^{7} +1.00000 q^{8} +(-1.22349 + 2.73917i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(-0.942473 - 1.45318i) q^{3} +1.00000 q^{4} +(3.27919 - 1.89324i) q^{5} +(-0.942473 - 1.45318i) q^{6} +(0.475130 - 2.60274i) q^{7} +1.00000 q^{8} +(-1.22349 + 2.73917i) q^{9} +(3.27919 - 1.89324i) q^{10} +(2.90419 + 5.03020i) q^{11} +(-0.942473 - 1.45318i) q^{12} +(-0.879475 - 3.49664i) q^{13} +(0.475130 - 2.60274i) q^{14} +(-5.84178 - 2.98094i) q^{15} +1.00000 q^{16} -4.53944 q^{17} +(-1.22349 + 2.73917i) q^{18} +(-1.42838 + 2.47403i) q^{19} +(3.27919 - 1.89324i) q^{20} +(-4.23006 + 1.76256i) q^{21} +(2.90419 + 5.03020i) q^{22} +4.84897i q^{23} +(-0.942473 - 1.45318i) 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} +(-5.84178 - 2.98094i) q^{30} +(-0.824954 + 1.42886i) q^{31} +1.00000 q^{32} +(4.57269 - 8.96114i) q^{33} -4.53944 q^{34} +(-3.36958 - 9.43442i) q^{35} +(-1.22349 + 2.73917i) q^{36} -0.999410i q^{37} +(-1.42838 + 2.47403i) q^{38} +(-4.25239 + 4.57353i) q^{39} +(3.27919 - 1.89324i) q^{40} +(-3.48711 - 2.01328i) q^{41} +(-4.23006 + 1.76256i) 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} +(-0.942473 - 1.45318i) q^{48} +(-6.54850 - 2.47328i) q^{49} +(4.66874 - 8.08650i) q^{50} +(4.27830 + 6.59665i) 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} +(-5.84178 - 2.98094i) q^{60} +(-3.15624 - 1.82226i) q^{61} +(-0.824954 + 1.42886i) q^{62} +(6.54804 + 4.48589i) q^{63} +1.00000 q^{64} +(-9.50397 - 9.80111i) q^{65} +(4.57269 - 8.96114i) q^{66} +(-9.24567 + 5.33799i) q^{67} -4.53944 q^{68} +(7.04644 - 4.57002i) q^{69} +(-3.36958 - 9.43442i) q^{70} +(6.77969 + 11.7428i) q^{71} +(-1.22349 + 2.73917i) 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} +(-4.25239 + 4.57353i) q^{78} +(-8.40177 - 14.5523i) q^{79} +(3.27919 - 1.89324i) q^{80} +(-6.00615 - 6.70270i) q^{81} +(-3.48711 - 2.01328i) q^{82} +11.9716i q^{83} +(-4.23006 + 1.76256i) 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} +(-0.942473 - 1.45318i) q^{96} +(6.30970 + 10.9287i) q^{97} +(-6.54850 - 2.47328i) q^{98} +(-17.3318 + 1.80068i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

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
\(3\) −0.942473 1.45318i −0.544137 0.838996i
\(4\) 1.00000 0.500000
\(5\) 3.27919 1.89324i 1.46650 0.846684i 0.467202 0.884151i \(-0.345262\pi\)
0.999298 + 0.0374664i \(0.0119287\pi\)
\(6\) −0.942473 1.45318i −0.384763 0.593260i
\(7\) 0.475130 2.60274i 0.179582 0.983743i
\(8\) 1.00000 0.353553
\(9\) −1.22349 + 2.73917i −0.407830 + 0.913058i
\(10\) 3.27919 1.89324i 1.03697 0.598696i
\(11\) 2.90419 + 5.03020i 0.875645 + 1.51666i 0.856074 + 0.516853i \(0.172897\pi\)
0.0195712 + 0.999808i \(0.493770\pi\)
\(12\) −0.942473 1.45318i −0.272069 0.419498i
\(13\) −0.879475 3.49664i −0.243923 0.969795i
\(14\) 0.475130 2.60274i 0.126984 0.695611i
\(15\) −5.84178 2.98094i −1.50834 0.769676i
\(16\) 1.00000 0.250000
\(17\) −4.53944 −1.10098 −0.550488 0.834843i \(-0.685558\pi\)
−0.550488 + 0.834843i \(0.685558\pi\)
\(18\) −1.22349 + 2.73917i −0.288379 + 0.645629i
\(19\) −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
\(21\) −4.23006 + 1.76256i −0.923074 + 0.384622i
\(22\) 2.90419 + 5.03020i 0.619175 + 1.07244i
\(23\) 4.84897i 1.01108i 0.862803 + 0.505540i \(0.168707\pi\)
−0.862803 + 0.505540i \(0.831293\pi\)
\(24\) −0.942473 1.45318i −0.192381 0.296630i
\(25\) 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 0.281344 0.959607i \(-0.409220\pi\)
−0.690372 + 0.723454i \(0.742553\pi\)
\(30\) −5.84178 2.98094i −1.06656 0.544243i
\(31\) −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
\(33\) 4.57269 8.96114i 0.796003 1.55993i
\(34\) −4.53944 −0.778508
\(35\) −3.36958 9.43442i −0.569562 1.59471i
\(36\) −1.22349 + 2.73917i −0.203915 + 0.456529i
\(37\) 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
\(39\) −4.25239 + 4.57353i −0.680927 + 0.732351i
\(40\) 3.27919 1.89324i 0.518486 0.299348i
\(41\) −3.48711 2.01328i −0.544595 0.314422i 0.202344 0.979314i \(-0.435144\pi\)
−0.746939 + 0.664893i \(0.768477\pi\)
\(42\) −4.23006 + 1.76256i −0.652712 + 0.271969i
\(43\) −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 0.0291943 0.999574i \(-0.490706\pi\)
0.880253 + 0.474504i \(0.157373\pi\)
\(48\) −0.942473 1.45318i −0.136034 0.209749i
\(49\) −6.54850 2.47328i −0.935501 0.353325i
\(50\) 4.66874 8.08650i 0.660260 1.14360i
\(51\) 4.27830 + 6.59665i 0.599082 + 0.923715i
\(52\) −0.879475 3.49664i −0.121961 0.484897i
\(53\) 5.41458 + 3.12611i 0.743749 + 0.429404i 0.823431 0.567417i \(-0.192057\pi\)
−0.0796817 + 0.996820i \(0.525390\pi\)
\(54\) 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 \(0.226106\pi\)
−0.758144 + 0.652087i \(0.773894\pi\)
\(60\) −5.84178 2.98094i −0.754171 0.384838i
\(61\) −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
\(63\) 6.54804 + 4.48589i 0.824975 + 0.565169i
\(64\) 1.00000 0.125000
\(65\) −9.50397 9.80111i −1.17882 1.21568i
\(66\) 4.57269 8.96114i 0.562859 1.10304i
\(67\) −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
\(69\) 7.04644 4.57002i 0.848292 0.550166i
\(70\) −3.36958 9.43442i −0.402741 1.12763i
\(71\) 6.77969 + 11.7428i 0.804602 + 1.39361i 0.916560 + 0.399898i \(0.130954\pi\)
−0.111958 + 0.993713i \(0.535712\pi\)
\(72\) −1.22349 + 2.73917i −0.144190 + 0.322815i
\(73\) 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
\(78\) −4.25239 + 4.57353i −0.481488 + 0.517851i
\(79\) −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
\(81\) −6.00615 6.70270i −0.667350 0.744744i
\(82\) −3.48711 2.01328i −0.385087 0.222330i
\(83\) 11.9716i 1.31405i 0.753867 + 0.657027i \(0.228186\pi\)
−0.753867 + 0.657027i \(0.771814\pi\)
\(84\) −4.23006 + 1.76256i −0.461537 + 0.192311i
\(85\) −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 \(-0.963000\pi\)
0.993252 0.115978i \(-0.0370003\pi\)
\(90\) 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
\(96\) −0.942473 1.45318i −0.0961907 0.148315i
\(97\) 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 0.999791 0.0204629i \(-0.00651399\pi\)
−0.517617 + 0.855613i \(0.673181\pi\)
\(102\) 4.27830 + 6.59665i 0.423615 + 0.653165i
\(103\) 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
\(105\) −10.5342 + 13.7883i −1.02803 + 1.34560i
\(106\) 5.41458 + 3.12611i 0.525910 + 0.303634i
\(107\) 8.84801i 0.855369i −0.903928 0.427684i \(-0.859329\pi\)
0.903928 0.427684i \(-0.140671\pi\)
\(108\) 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
\(111\) −1.45233 + 0.941917i −0.137849 + 0.0894028i
\(112\) 0.475130 2.60274i 0.0448955 0.245936i
\(113\) 8.71628 5.03235i 0.819959 0.473403i −0.0304434 0.999536i \(-0.509692\pi\)
0.850402 + 0.526133i \(0.176359\pi\)
\(114\) 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
\(117\) 10.6539 + 1.86907i 0.984958 + 0.172796i
\(118\) 10.0175i 0.922190i
\(119\) −2.15682 + 11.8150i −0.197716 + 1.08308i
\(120\) −5.84178 2.98094i −0.533279 0.272122i
\(121\) −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
\(126\) 6.54804 + 4.48589i 0.583346 + 0.399635i
\(127\) −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
\(129\) −0.702201 + 1.37611i −0.0618254 + 0.121160i
\(130\) −9.50397 9.80111i −0.833553 0.859615i
\(131\) −6.27140 10.8624i −0.547935 0.949051i −0.998416 0.0562650i \(-0.982081\pi\)
0.450481 0.892786i \(-0.351253\pi\)
\(132\) 4.57269 8.96114i 0.398001 0.779967i
\(133\) 5.76059 + 4.89319i 0.499507 + 0.424294i
\(134\) −9.24567 + 5.33799i −0.798704 + 0.461132i
\(135\) 15.3127 12.3545i 1.31791 1.06331i
\(136\) −4.53944 −0.389254
\(137\) −15.5523 −1.32872 −0.664360 0.747413i \(-0.731296\pi\)
−0.664360 + 0.747413i \(0.731296\pi\)
\(138\) 7.04644 4.57002i 0.599833 0.389026i
\(139\) −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
\(141\) −11.1072 5.66778i −0.935396 0.477313i
\(142\) 6.77969 + 11.7428i 0.568939 + 0.985432i
\(143\) 15.0347 14.5788i 1.25726 1.21914i
\(144\) −1.22349 + 2.73917i −0.101957 + 0.228264i
\(145\) −9.63072 −0.799788
\(146\) 2.19097 3.79486i 0.181326 0.314065i
\(147\) 2.57766 + 11.8472i 0.212602 + 0.977139i
\(148\) 0.999410i 0.0821510i
\(149\) 1.53689 2.66197i 0.125907 0.218077i −0.796180 0.605060i \(-0.793149\pi\)
0.922087 + 0.386982i \(0.126483\pi\)
\(150\) −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
\(153\) 5.55396 12.4343i 0.449011 1.00526i
\(154\) 14.4722 5.16884i 1.16620 0.416517i
\(155\) 6.24735i 0.501799i
\(156\) −4.25239 + 4.57353i −0.340463 + 0.366176i
\(157\) 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
\(162\) −6.00615 6.70270i −0.471888 0.526614i
\(163\) 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 0.231916 0.972736i \(-0.425501\pi\)
−0.726456 + 0.687213i \(0.758834\pi\)
\(168\) −4.23006 + 1.76256i −0.326356 + 0.135984i
\(169\) −11.4530 + 6.15043i −0.881004 + 0.473110i
\(170\) −14.8857 + 8.59427i −1.14168 + 0.659151i
\(171\) −5.02919 6.93954i −0.384592 0.530680i
\(172\) −0.445979 0.772459i −0.0340056 0.0588994i
\(173\) 2.54914 4.41523i 0.193807 0.335684i −0.752702 0.658362i \(-0.771250\pi\)
0.946509 + 0.322678i \(0.104583\pi\)
\(174\) 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
\(177\) 14.5573 9.44127i 1.09420 0.709649i
\(178\) 2.18827i 0.164018i
\(179\) 7.44227 4.29680i 0.556261 0.321158i −0.195382 0.980727i \(-0.562595\pi\)
0.751643 + 0.659570i \(0.229261\pi\)
\(180\) 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
\(189\) 0.347470 13.7433i 0.0252747 0.999681i
\(190\) 10.8171i 0.784755i
\(191\) 16.9062 + 9.76080i 1.22329 + 0.706267i 0.965618 0.259966i \(-0.0837112\pi\)
0.257672 + 0.966232i \(0.417045\pi\)
\(192\) −0.942473 1.45318i −0.0680171 0.104875i
\(193\) 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
\(195\) −5.28559 + 23.0483i −0.378509 + 1.65052i
\(196\) −6.54850 2.47328i −0.467750 0.176663i
\(197\) 4.25750 7.37421i 0.303334 0.525391i −0.673555 0.739137i \(-0.735233\pi\)
0.976889 + 0.213747i \(0.0685668\pi\)
\(198\) −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
\(201\) 16.4709 + 8.40475i 1.16177 + 0.592825i
\(202\) 4.84579 + 8.39315i 0.340948 + 0.590540i
\(203\) −4.35652 + 5.12879i −0.305768 + 0.359970i
\(204\) 4.27830 + 6.59665i 0.299541 + 0.461858i
\(205\) −15.2465 −1.06486
\(206\) 2.94432 1.69990i 0.205140 0.118438i
\(207\) −13.2822 5.93266i −0.923174 0.412348i
\(208\) −0.879475 3.49664i −0.0609807 0.242449i
\(209\) −16.5932 −1.14777
\(210\) −10.5342 + 13.7883i −0.726930 + 0.951483i
\(211\) 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
\(213\) 10.6747 20.9194i 0.731421 1.43337i
\(214\) 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
\(222\) −1.45233 + 0.941917i −0.0974738 + 0.0632173i
\(223\) 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
\(225\) 16.4382 + 22.6822i 1.09588 + 1.51215i
\(226\) 8.71628 5.03235i 0.579798 0.334747i
\(227\) 19.1522i 1.27118i −0.772027 0.635589i \(-0.780757\pi\)
0.772027 0.635589i \(-0.219243\pi\)
\(228\) 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
\(231\) −21.1509 16.1592i −1.39163 1.06320i
\(232\) −2.20269 1.27172i −0.144614 0.0834927i
\(233\) 1.22176 0.705386i 0.0800405 0.0462114i −0.459446 0.888206i \(-0.651952\pi\)
0.539486 + 0.841995i \(0.318619\pi\)
\(234\) 10.6539 + 1.86907i 0.696470 + 0.122185i
\(235\) 13.6302 23.6082i 0.889137 1.54003i
\(236\) 10.0175i 0.652087i
\(237\) −13.2287 + 25.9245i −0.859298 + 1.68398i
\(238\) −2.15682 + 11.8150i −0.139806 + 0.765852i
\(239\) −22.2321 −1.43807 −0.719037 0.694972i \(-0.755417\pi\)
−0.719037 + 0.694972i \(0.755417\pi\)
\(240\) −5.84178 2.98094i −0.377085 0.192419i
\(241\) 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
\(243\) −4.07963 + 15.0452i −0.261708 + 0.965147i
\(244\) −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
\(249\) 17.3970 11.2829i 1.10249 0.715026i
\(250\) 16.4238i 1.03873i
\(251\) −4.15920 7.20395i −0.262527 0.454709i 0.704386 0.709817i \(-0.251222\pi\)
−0.966913 + 0.255108i \(0.917889\pi\)
\(252\) 6.54804 + 4.48589i 0.412488 + 0.282584i
\(253\) −24.3913 + 14.0823i −1.53347 + 0.885347i
\(254\) −0.534780 + 0.926266i −0.0335551 + 0.0581191i
\(255\) 26.5184 + 13.5318i 1.66065 + 0.847395i
\(256\) 1.00000 0.0625000
\(257\) −22.0410 −1.37488 −0.687438 0.726243i \(-0.741265\pi\)
−0.687438 + 0.726243i \(0.741265\pi\)
\(258\) −0.702201 + 1.37611i −0.0437171 + 0.0856729i
\(259\) −2.60120 0.474849i −0.161631 0.0295057i
\(260\) −9.50397 9.80111i −0.589411 0.607839i
\(261\) 6.17843 4.47761i 0.382435 0.277157i
\(262\) −6.27140 10.8624i −0.387448 0.671080i
\(263\) −14.9822 + 8.64996i −0.923840 + 0.533379i −0.884858 0.465861i \(-0.845745\pi\)
−0.0389820 + 0.999240i \(0.512412\pi\)
\(264\) 4.57269 8.96114i 0.281430 0.551520i
\(265\) 23.6739 1.45428
\(266\) 5.76059 + 4.89319i 0.353204 + 0.300021i
\(267\) −3.17996 + 2.06239i −0.194610 + 0.126216i
\(268\) −9.24567 + 5.33799i −0.564769 + 0.326070i
\(269\) −7.57009 −0.461557 −0.230778 0.973006i \(-0.574127\pi\)
−0.230778 + 0.973006i \(0.574127\pi\)
\(270\) 15.3127 12.3545i 0.931900 0.751871i
\(271\) −2.07387 −0.125979 −0.0629893 0.998014i \(-0.520063\pi\)
−0.0629893 + 0.998014i \(0.520063\pi\)
\(272\) −4.53944 −0.275244
\(273\) 9.88328 + 13.2409i 0.598163 + 0.801374i
\(274\) −15.5523 −0.939547
\(275\) 54.2356 3.27053
\(276\) 7.04644 4.57002i 0.424146 0.275083i
\(277\) −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
\(279\) −2.90458 4.00789i −0.173893 0.239946i
\(280\) −3.36958 9.43442i −0.201371 0.563815i
\(281\) 25.8285 1.54080 0.770400 0.637561i \(-0.220056\pi\)
0.770400 + 0.637561i \(0.220056\pi\)
\(282\) −11.1072 5.66778i −0.661425 0.337512i
\(283\) −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
\(285\) 15.7192 10.1948i 0.931128 0.603889i
\(286\) 15.0347 14.5788i 0.889018 0.862065i
\(287\) −6.89688 + 8.11946i −0.407110 + 0.479277i
\(288\) −1.22349 + 2.73917i −0.0720948 + 0.161407i
\(289\) 3.60655 0.212150
\(290\) −9.63072 −0.565535
\(291\) 9.93473 19.4692i 0.582384 1.14130i
\(292\) 2.19097 3.79486i 0.128217 0.222078i
\(293\) 23.6154 13.6344i 1.37963 0.796529i 0.387514 0.921864i \(-0.373334\pi\)
0.992115 + 0.125335i \(0.0400005\pi\)
\(294\) 2.57766 + 11.8472i 0.150332 + 0.690942i
\(295\) 18.9657 + 32.8495i 1.10422 + 1.91257i
\(296\) 0.999410i 0.0580895i
\(297\) 18.9515 + 23.4893i 1.09968 + 1.36298i
\(298\) 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
\(303\) 7.62977 14.9521i 0.438319 0.858978i
\(304\) −1.42838 + 2.47403i −0.0819233 + 0.141895i
\(305\) −13.7999 −0.790180
\(306\) 5.55396 12.4343i 0.317499 0.710823i
\(307\) −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
\(309\) −5.24521 2.67652i −0.298390 0.152262i
\(310\) 6.24735i 0.354826i
\(311\) −15.9662 + 27.6543i −0.905360 + 1.56813i −0.0849258 + 0.996387i \(0.527065\pi\)
−0.820434 + 0.571742i \(0.806268\pi\)
\(312\) −4.25239 + 4.57353i −0.240744 + 0.258925i
\(313\) −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
\(315\) 29.9652 + 2.31306i 1.68835 + 0.130326i
\(316\) −8.40177 14.5523i −0.472637 0.818631i
\(317\) −7.01958 12.1583i −0.394259 0.682877i 0.598747 0.800938i \(-0.295665\pi\)
−0.993006 + 0.118061i \(0.962332\pi\)
\(318\) −0.560282 10.8146i −0.0314191 0.606455i
\(319\) 14.7733i 0.827145i
\(320\) 3.27919 1.89324i 0.183313 0.105836i
\(321\) −12.8578 + 8.33901i −0.717651 + 0.465438i
\(322\) 12.6206 + 2.30389i 0.703319 + 0.128391i
\(323\) 6.48406 11.2307i 0.360783 0.624894i
\(324\) −6.00615 6.70270i −0.333675 0.372372i
\(325\) −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
\(333\) 2.73756 + 1.22277i 0.150017 + 0.0670073i
\(334\) −6.39087 3.68977i −0.349693 0.201895i
\(335\) −20.2122 + 35.0086i −1.10431 + 1.91272i
\(336\) −4.23006 + 1.76256i −0.230769 + 0.0961556i
\(337\) 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
\(339\) −15.5278 7.92351i −0.843354 0.430346i
\(340\) −14.8857 + 8.59427i −0.807291 + 0.466090i
\(341\) −9.58328 −0.518964
\(342\) −5.02919 6.93954i −0.271947 0.375247i
\(343\) −9.54868 + 15.8689i −0.515580 + 0.856841i
\(344\) −0.445979 0.772459i −0.0240456 0.0416482i
\(345\) 14.4545 28.3266i 0.778204 1.52505i
\(346\) 2.54914 4.41523i 0.137042 0.237364i
\(347\) 16.4055i 0.880693i −0.897828 0.440347i \(-0.854856\pi\)
0.897828 0.440347i \(-0.145144\pi\)
\(348\) 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
\(351\) −7.32495 17.2437i −0.390977 0.920400i
\(352\) 2.90419 + 5.03020i 0.154794 + 0.268110i
\(353\) −16.9161 + 9.76652i −0.900353 + 0.519819i −0.877315 0.479915i \(-0.840667\pi\)
−0.0230385 + 0.999735i \(0.507334\pi\)
\(354\) 14.5573 9.44127i 0.773714 0.501798i
\(355\) 44.4639 + 25.6712i 2.35990 + 1.36249i
\(356\) 2.18827i 0.115978i
\(357\) 19.2021 8.00104i 1.01628 0.423460i
\(358\) 7.44227 4.29680i 0.393336 0.227093i
\(359\) −1.54798 2.68118i −0.0816994 0.141507i 0.822281 0.569082i \(-0.192701\pi\)
−0.903980 + 0.427575i \(0.859368\pi\)
\(360\) 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
\(369\) 9.78117 7.08856i 0.509187 0.369016i
\(370\) −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
\(375\) −23.8668 + 15.4790i −1.23248 + 0.799332i
\(376\) 6.23486 3.59970i 0.321538 0.185640i
\(377\) −2.50955 + 8.82046i −0.129248 + 0.454277i
\(378\) 0.347470 13.7433i 0.0178719 0.706881i
\(379\) −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 −0.159570 0.987187i \(-0.551011\pi\)
−0.934714 + 0.355402i \(0.884344\pi\)
\(384\) −0.942473 1.45318i −0.0480954 0.0741575i
\(385\) 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 0.687540 0.726147i \(-0.258691\pi\)
−0.285092 + 0.958500i \(0.592024\pi\)
\(390\) −5.28559 + 23.0483i −0.267646 + 1.16710i
\(391\) 22.0116i 1.11318i
\(392\) −6.54850 2.47328i −0.330749 0.124919i
\(393\) −9.87442 + 19.3510i −0.498099 + 0.976129i
\(394\) 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
\(399\) 1.68151 12.9829i 0.0841808 0.649958i
\(400\) 4.66874 8.08650i 0.233437 0.404325i
\(401\) −7.25130 −0.362112 −0.181056 0.983473i \(-0.557952\pi\)
−0.181056 + 0.983473i \(0.557952\pi\)
\(402\) 16.4709 + 8.40475i 0.821493 + 0.419191i
\(403\) 5.72175 + 1.62792i 0.285021 + 0.0810925i
\(404\) 4.84579 + 8.39315i 0.241087 + 0.417575i
\(405\) −32.3852 10.6084i −1.60923 0.527133i
\(406\) −4.35652 + 5.12879i −0.216211 + 0.254538i
\(407\) 5.02723 2.90247i 0.249191 0.143870i
\(408\) 4.27830 + 6.59665i 0.211808 + 0.326583i
\(409\) 1.57460 0.0778592 0.0389296 0.999242i \(-0.487605\pi\)
0.0389296 + 0.999242i \(0.487605\pi\)
\(410\) −15.2465 −0.752973
\(411\) 14.6576 + 22.6003i 0.723006 + 1.11479i
\(412\) 2.94432 1.69990i 0.145056 0.0837482i
\(413\) 26.0731 + 4.75963i 1.28297 + 0.234206i
\(414\) −13.2822 5.93266i −0.652783 0.291574i
\(415\) 22.6652 + 39.2572i 1.11259 + 1.92706i
\(416\) −0.879475 3.49664i −0.0431198 0.171437i
\(417\) 13.5400 + 6.90917i 0.663056 + 0.338344i
\(418\) −16.5932 −0.811598
\(419\) −13.4922 + 23.3691i −0.659136 + 1.14166i 0.321704 + 0.946840i \(0.395745\pi\)
−0.980840 + 0.194817i \(0.937589\pi\)
\(420\) −10.5342 + 13.7883i −0.514017 + 0.672800i
\(421\) 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
\(426\) 10.6747 20.9194i 0.517193 1.01355i
\(427\) −6.24248 + 7.34906i −0.302095 + 0.355646i
\(428\) 8.84801i 0.427684i
\(429\) −35.3555 8.10796i −1.70698 0.391456i
\(430\) −2.92490 1.68869i −0.141051 0.0814361i
\(431\) 18.2521 + 31.6136i 0.879173 + 1.52277i 0.852250 + 0.523135i \(0.175238\pi\)
0.0269232 + 0.999638i \(0.491429\pi\)
\(432\) 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
\(435\) 9.07669 + 13.9952i 0.435194 + 0.671019i
\(436\) 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
\(441\) 14.7868 14.9115i 0.704131 0.710070i
\(442\) 3.99233 + 15.8728i 0.189896 + 0.754993i
\(443\) −23.2231 + 13.4079i −1.10337 + 0.637028i −0.937103 0.349053i \(-0.886503\pi\)
−0.166262 + 0.986082i \(0.553170\pi\)
\(444\) −1.45233 + 0.941917i −0.0689244 + 0.0447014i
\(445\) −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 0.856383 0.516341i \(-0.172706\pi\)
−0.875356 + 0.483479i \(0.839373\pi\)
\(450\) 16.4382 + 22.6822i 0.774903 + 1.06925i
\(451\) 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 −0.742199 0.670180i \(-0.766217\pi\)
0.209293 + 0.977853i \(0.432884\pi\)
\(462\) −21.1509 16.1592i −0.984029 0.751795i
\(463\) 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
\(465\) 9.07856 5.88796i 0.421008 0.273048i
\(466\) 1.22176 0.705386i 0.0565972 0.0326764i
\(467\) −0.665574 1.15281i −0.0307991 0.0533456i 0.850215 0.526436i \(-0.176472\pi\)
−0.881014 + 0.473090i \(0.843139\pi\)
\(468\) 10.6539 + 1.86907i 0.492479 + 0.0863978i
\(469\) 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
\(474\) −13.2287 + 25.9245i −0.607616 + 1.19075i
\(475\) 13.3375 + 23.1012i 0.611966 + 1.05996i
\(476\) −2.15682 + 11.8150i −0.0988579 + 0.541539i
\(477\) −15.1876 + 11.0067i −0.695394 + 0.503962i
\(478\) −22.2321 −1.01687
\(479\) −12.4718 + 7.20059i −0.569851 + 0.329003i −0.757090 0.653311i \(-0.773379\pi\)
0.187239 + 0.982314i \(0.440046\pi\)
\(480\) −5.84178 2.98094i −0.266640 0.136061i
\(481\) −3.49458 + 0.878957i −0.159339 + 0.0400770i
\(482\) 12.1874 0.555119
\(483\) −8.54660 20.5114i −0.388884 0.933302i
\(484\) −11.3686 + 19.6910i −0.516754 + 0.895045i
\(485\) 41.3815 + 23.8916i 1.87904 + 1.08486i
\(486\) −4.07963 + 15.0452i −0.185056 + 0.682462i
\(487\) 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 0.435698 0.900093i \(-0.356502\pi\)
−0.561655 + 0.827372i \(0.689835\pi\)
\(492\) 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
\(495\) −53.4253 + 38.7181i −2.40129 + 1.74025i
\(496\) −0.824954 + 1.42886i −0.0370415 + 0.0641578i
\(497\) 33.7846 12.0664i 1.51545 0.541254i
\(498\) 17.3970 11.2829i 0.779576 0.505600i
\(499\) 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 0.953588 0.301113i \(-0.0973581\pi\)
−0.737566 + 0.675275i \(0.764025\pi\)
\(504\) 6.54804 + 4.48589i 0.291673 + 0.199817i
\(505\) 31.7806 + 18.3485i 1.41422 + 0.816498i
\(506\) −24.3913 + 14.0823i −1.08432 + 0.626035i
\(507\) 19.7319 + 10.8468i 0.876324 + 0.481722i
\(508\) −0.534780 + 0.926266i −0.0237270 + 0.0410964i
\(509\) 32.4912i 1.44015i −0.693897 0.720074i \(-0.744108\pi\)
0.693897 0.720074i \(-0.255892\pi\)
\(510\) 26.5184 + 13.5318i 1.17426 + 0.599199i
\(511\) −8.83605 7.50556i −0.390884 0.332027i
\(512\) 1.00000 0.0441942
\(513\) −5.34455 + 13.8487i −0.235968 + 0.611434i
\(514\) −22.0410 −0.972185
\(515\) 6.43666 11.1486i 0.283633 0.491267i
\(516\) −0.702201 + 1.37611i −0.0309127 + 0.0605799i
\(517\) 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 \(-0.447682\pi\)
0.772542 0.634964i \(-0.218985\pi\)
\(522\) 6.17843 4.47761i 0.270423 0.195979i
\(523\) 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
\(525\) −5.49610 + 42.4353i −0.239869 + 1.85203i
\(526\) −14.9822 + 8.64996i −0.653254 + 0.377156i
\(527\) 3.74483 6.48624i 0.163127 0.282545i
\(528\) 4.57269 8.96114i 0.199001 0.389984i
\(529\) −0.512495 −0.0222824
\(530\) 23.6739 1.02833
\(531\) −27.4398 12.2564i −1.19079 0.531881i
\(532\) 5.76059 + 4.89319i 0.249753 + 0.212147i
\(533\) −3.97291 + 13.9638i −0.172086 + 0.604840i
\(534\) −3.17996 + 2.06239i −0.137610 + 0.0892482i
\(535\) −16.7514 29.0143i −0.724227 1.25440i
\(536\) −9.24567 + 5.33799i −0.399352 + 0.230566i
\(537\) −13.2582 6.76537i −0.572132 0.291947i
\(538\) −7.57009 −0.326370
\(539\) −6.57700 40.1231i −0.283291 1.72823i
\(540\) 15.3127 12.3545i 0.658953 0.531653i
\(541\) −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
\(543\) 4.05111 2.62737i 0.173850 0.112751i
\(544\) −4.53944 −0.194627
\(545\) 11.1970 0.479628
\(546\) 9.88328 + 13.2409i 0.422965 + 0.566657i
\(547\) 22.0489 0.942741 0.471370 0.881935i \(-0.343759\pi\)
0.471370 + 0.881935i \(0.343759\pi\)
\(548\) −15.5523 −0.664360
\(549\) 8.85310 6.41598i 0.377841 0.273827i
\(550\) 54.2356 2.31261
\(551\) 6.29256 3.63301i 0.268072 0.154771i
\(552\) 7.04644 4.57002i 0.299917 0.194513i
\(553\) −41.8678 + 14.9534i −1.78040 + 0.635883i
\(554\) −23.6718 −1.00572
\(555\) −2.97918 + 5.83834i −0.126459 + 0.247824i
\(556\) −7.60046 + 4.38812i −0.322331 + 0.186098i
\(557\) 7.59729 + 13.1589i 0.321908 + 0.557560i 0.980882 0.194605i \(-0.0623426\pi\)
−0.658974 + 0.752166i \(0.729009\pi\)
\(558\) −2.90458 4.00789i −0.122961 0.169667i
\(559\) −2.30879 + 2.23879i −0.0976512 + 0.0946907i
\(560\) −3.36958 9.43442i −0.142391 0.398677i
\(561\) −20.7575 + 40.6786i −0.876381 + 1.71745i
\(562\) 25.8285 1.08951
\(563\) −2.63574 −0.111083 −0.0555416 0.998456i \(-0.517689\pi\)
−0.0555416 + 0.998456i \(0.517689\pi\)
\(564\) −11.1072 5.66778i −0.467698 0.238657i
\(565\) 19.0549 33.0041i 0.801646 1.38849i
\(566\) −14.5695 + 8.41173i −0.612404 + 0.353571i
\(567\) −20.2991 + 12.4478i −0.852481 + 0.522758i
\(568\) 6.77969 + 11.7428i 0.284470 + 0.492716i
\(569\) 44.2841i 1.85649i 0.371973 + 0.928244i \(0.378681\pi\)
−0.371973 + 0.928244i \(0.621319\pi\)
\(570\) 15.7192 10.1948i 0.658407 0.427014i
\(571\) −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
\(576\) −1.22349 + 2.73917i −0.0509787 + 0.114132i
\(577\) 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
\(579\) −9.78884 4.99504i −0.406810 0.207587i
\(580\) −9.63072 −0.399894
\(581\) 31.1590 + 5.68807i 1.29269 + 0.235981i
\(582\) 9.93473 19.4692i 0.411808 0.807024i
\(583\) 36.3152i 1.50402i
\(584\) 2.19097 3.79486i 0.0906628 0.157033i
\(585\) 38.4750 14.0415i 1.59074 0.580543i
\(586\) 23.6154 13.6344i 0.975545 0.563231i
\(587\) 18.7811 + 10.8433i 0.775179 + 0.447550i 0.834719 0.550676i \(-0.185630\pi\)
−0.0595402 + 0.998226i \(0.518963\pi\)
\(588\) 2.57766 + 11.8472i 0.106301 + 0.488569i
\(589\) −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 −0.440720 0.897645i \(-0.645277\pi\)
0.557023 + 0.830497i \(0.311944\pi\)
\(594\) 18.9515 + 23.4893i 0.777589 + 0.963776i
\(595\) 15.2960 + 42.8270i 0.627075 + 1.75574i
\(596\) 1.53689 2.66197i 0.0629535 0.109039i
\(597\) −2.45816 + 1.59425i −0.100606 + 0.0652485i
\(598\) 16.9551 4.26455i 0.693346 0.174390i
\(599\) −17.7669 10.2577i −0.725935 0.419119i 0.0909981 0.995851i \(-0.470994\pi\)
−0.816933 + 0.576732i \(0.804328\pi\)
\(600\) −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
\(606\) 7.62977 14.9521i 0.309938 0.607389i
\(607\) 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
\(609\) 11.5590 + 1.49709i 0.468394 + 0.0606650i
\(610\) −13.7999 −0.558741
\(611\) −18.0703 18.6352i −0.731045 0.753901i
\(612\) 5.55396 12.4343i 0.224506 0.502628i
\(613\) 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
\(615\) 14.3694 + 22.1560i 0.579432 + 0.893417i
\(616\) 14.4722 5.16884i 0.583100 0.208259i
\(617\) −9.05420 15.6823i −0.364508 0.631347i 0.624189 0.781273i \(-0.285430\pi\)
−0.988697 + 0.149927i \(0.952096\pi\)
\(618\) −5.24521 2.67652i −0.210993 0.107666i
\(619\) −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
\(624\) −4.25239 + 4.57353i −0.170232 + 0.183088i
\(625\) −7.75058 13.4244i −0.310023 0.536976i
\(626\) −5.32050 + 3.07179i −0.212650 + 0.122773i
\(627\) 15.6386 + 24.1129i 0.624545 + 0.962977i
\(628\) 8.31434 + 4.80029i 0.331778 + 0.191552i
\(629\) 4.53677i 0.180893i
\(630\) 29.9652 + 2.31306i 1.19384 + 0.0921545i
\(631\) 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 \(0.0505942\pi\)
−0.987395 + 0.158278i \(0.949406\pi\)
\(642\) −12.8578 + 8.33901i −0.507456 + 0.329114i
\(643\) −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 0.979071 0.203518i \(-0.0652374\pi\)
−0.665787 + 0.746142i \(0.731904\pi\)
\(648\) −6.00615 6.70270i −0.235944 0.263307i
\(649\) −50.3902 + 29.0928i −1.97799 + 1.14199i
\(650\) −32.3816 9.21305i −1.27011 0.361366i
\(651\) 0.971146 7.49820i 0.0380622 0.293878i
\(652\) 5.52266 + 3.18851i 0.216284 + 0.124872i
\(653\) 42.3070i 1.65560i −0.561022 0.827801i \(-0.689592\pi\)
0.561022 0.827801i \(-0.310408\pi\)
\(654\) −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
\(657\) 7.71417 + 10.6444i 0.300958 + 0.415278i
\(658\) −6.40671 17.9380i −0.249760 0.699298i
\(659\) −32.3775 + 18.6932i −1.26125 + 0.728182i −0.973316 0.229469i \(-0.926301\pi\)
−0.287932 + 0.957651i \(0.592968\pi\)
\(660\) −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
\(663\) 19.3035 20.7613i 0.749685 0.806302i
\(664\) 11.9716i 0.464589i
\(665\) 28.1541 + 5.13953i 1.09177 + 0.199302i
\(666\) 2.73756 + 1.22277i 0.106078 + 0.0473813i
\(667\) 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
\(672\) −4.23006 + 1.76256i −0.163178 + 0.0679922i
\(673\) 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
\(675\) 17.4689 45.2651i 0.672380 1.74225i
\(676\) −11.4530 + 6.15043i −0.440502 + 0.236555i
\(677\) 12.4515 + 21.5666i 0.478550 + 0.828873i 0.999698 0.0245935i \(-0.00782915\pi\)
−0.521147 + 0.853467i \(0.674496\pi\)
\(678\) −15.5278 7.92351i −0.596341 0.304301i
\(679\) 31.4425 11.2299i 1.20665 0.430966i
\(680\) −14.8857 + 8.59427i −0.570841 + 0.329575i
\(681\) −27.8317 + 18.0505i −1.06651 + 0.691695i
\(682\) −9.58328 −0.366963
\(683\) −17.9767 −0.687860 −0.343930 0.938995i \(-0.611758\pi\)
−0.343930 + 0.938995i \(0.611758\pi\)
\(684\) −5.02919 6.93954i −0.192296 0.265340i
\(685\) −50.9989 + 29.4442i −1.94857 + 1.12501i
\(686\) −9.54868 + 15.8689i −0.364570 + 0.605878i
\(687\) −13.8424 + 27.1271i −0.528121 + 1.03496i
\(688\) −0.445979 0.772459i −0.0170028 0.0294497i
\(689\) 6.16890 21.6822i 0.235016 0.826025i
\(690\) 14.4545 28.3266i 0.550273 1.07838i
\(691\) 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
\(693\) −3.54817 + 45.9658i −0.134784 + 1.74610i
\(694\) 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
\(699\) −2.17654 1.11064i −0.0823242 0.0420083i
\(700\) −18.8288 15.9936i −0.711661 0.604503i
\(701\) 22.8317i 0.862342i 0.902270 + 0.431171i \(0.141900\pi\)
−0.902270 + 0.431171i \(0.858100\pi\)
\(702\) −7.32495 17.2437i −0.276462 0.650821i
\(703\) 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
\(708\) 14.5573 9.44127i 0.547098 0.354825i
\(709\) −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
\(714\) 19.2021 8.00104i 0.718621 0.299432i
\(715\) 21.7002 76.2711i 0.811543 2.85238i
\(716\) 7.44227 4.29680i 0.278131 0.160579i
\(717\) 20.9531 + 32.3073i 0.782509 + 1.20654i
\(718\) −1.54798 2.68118i −0.0577702 0.100061i
\(719\) 24.8204 42.9901i 0.925643 1.60326i 0.135119 0.990829i \(-0.456858\pi\)
0.790524 0.612431i \(-0.209808\pi\)
\(720\) 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
\(723\) −11.4863 17.7105i −0.427179 0.658660i
\(724\) 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
\(735\) 30.8822 + 33.9691i 1.13911 + 1.25297i
\(736\) 4.84897i 0.178735i
\(737\) −53.7023 31.0050i −1.97815 1.14209i
\(738\) 9.78117 7.08856i 0.360050 0.260934i
\(739\) 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
\(741\) −5.24103 17.0533i −0.192534 0.626468i
\(742\) 10.7091 12.6074i 0.393142 0.462833i
\(743\) 3.32899 5.76598i 0.122129 0.211533i −0.798478 0.602024i \(-0.794361\pi\)
0.920607 + 0.390490i \(0.127695\pi\)
\(744\) 2.85390 0.147854i 0.104629 0.00542058i
\(745\) 11.6388i 0.426414i
\(746\) 10.1944 17.6572i 0.373243 0.646476i
\(747\) −32.7923 14.6471i −1.19981 0.535911i
\(748\) −13.1834 22.8343i −0.482032 0.834905i
\(749\) −23.0291 4.20395i −0.841463 0.153609i
\(750\) −23.8668 + 15.4790i −0.871494 + 0.565213i
\(751\) −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
\(753\) −6.54873 + 12.8336i −0.238649 + 0.467683i
\(754\) −2.50955 + 8.82046i −0.0913925 + 0.321222i
\(755\) 47.8475 1.74135
\(756\) 0.347470 13.7433i 0.0126373 0.499840i
\(757\) 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
\(759\) 43.4523 + 22.1728i 1.57722 + 0.804822i
\(760\) 10.8171i 0.392378i
\(761\) −7.23145 4.17508i −0.262140 0.151347i 0.363170 0.931723i \(-0.381694\pi\)
−0.625310 + 0.780376i \(0.715028\pi\)
\(762\) 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
\(768\) −0.942473 1.45318i −0.0340086 0.0524373i
\(769\) 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
\(771\) 20.7730 + 32.0296i 0.748121 + 1.15352i
\(772\) 5.49481 3.17243i 0.197763 0.114178i
\(773\) 0.668313i 0.0240375i −0.999928 0.0120188i \(-0.996174\pi\)
0.999928 0.0120188i \(-0.00382578\pi\)