Properties

Label 252.2.ba.a.155.22
Level $252$
Weight $2$
Character 252.155
Analytic conductor $2.012$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 252.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.01223013094\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 155.22
Character \(\chi\) \(=\) 252.155
Dual form 252.2.ba.a.239.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.412980 + 1.35257i) q^{2} +(0.642722 - 1.60839i) q^{3} +(-1.65890 + 1.11717i) q^{4} +(2.51813 - 1.45385i) q^{5} +(2.44089 + 0.205095i) q^{6} +(0.866025 + 0.500000i) q^{7} +(-2.19614 - 1.78241i) q^{8} +(-2.17382 - 2.06749i) q^{9} +O(q^{10})\) \(q+(0.412980 + 1.35257i) q^{2} +(0.642722 - 1.60839i) q^{3} +(-1.65890 + 1.11717i) q^{4} +(2.51813 - 1.45385i) q^{5} +(2.44089 + 0.205095i) q^{6} +(0.866025 + 0.500000i) q^{7} +(-2.19614 - 1.78241i) q^{8} +(-2.17382 - 2.06749i) q^{9} +(3.00637 + 2.80555i) q^{10} +(1.18430 - 2.05127i) q^{11} +(0.730632 + 3.38617i) q^{12} +(-0.125913 - 0.218087i) q^{13} +(-0.318634 + 1.37785i) q^{14} +(-0.719887 - 4.98455i) q^{15} +(1.50387 - 3.70653i) q^{16} +7.60859i q^{17} +(1.89868 - 3.79407i) q^{18} -2.60920i q^{19} +(-2.55313 + 5.22496i) q^{20} +(1.36081 - 1.07154i) q^{21} +(3.26359 + 0.754720i) q^{22} +(4.51674 + 7.82323i) q^{23} +(-4.27830 + 2.38665i) q^{24} +(1.72733 - 2.99183i) q^{25} +(0.242979 - 0.260371i) q^{26} +(-4.72248 + 2.16752i) q^{27} +(-1.99523 + 0.138049i) q^{28} +(-5.53448 - 3.19533i) q^{29} +(6.44466 - 3.03222i) q^{30} +(-0.0905658 + 0.0522882i) q^{31} +(5.63441 + 0.503365i) q^{32} +(-2.53807 - 3.22322i) q^{33} +(-10.2912 + 3.14219i) q^{34} +2.90769 q^{35} +(5.91587 + 1.00123i) q^{36} -3.15261 q^{37} +(3.52912 - 1.07755i) q^{38} +(-0.431695 + 0.0623469i) q^{39} +(-8.12152 - 1.29549i) q^{40} +(-7.24183 + 4.18107i) q^{41} +(2.01132 + 1.39806i) q^{42} +(-7.18102 - 4.14596i) q^{43} +(0.326984 + 4.72592i) q^{44} +(-8.47978 - 2.04582i) q^{45} +(-8.71615 + 9.34005i) q^{46} +(0.248282 - 0.430036i) q^{47} +(-4.99497 - 4.80107i) q^{48} +(0.500000 + 0.866025i) q^{49} +(4.76001 + 1.10078i) q^{50} +(12.2376 + 4.89020i) q^{51} +(0.452516 + 0.221118i) q^{52} -2.38678i q^{53} +(-4.88201 - 5.49235i) q^{54} -6.88718i q^{55} +(-1.01071 - 2.64168i) q^{56} +(-4.19660 - 1.67699i) q^{57} +(2.03629 - 8.80538i) q^{58} +(3.99487 + 6.91932i) q^{59} +(6.76280 + 7.46462i) q^{60} +(3.69592 - 6.40151i) q^{61} +(-0.108125 - 0.100903i) q^{62} +(-0.848836 - 2.87741i) q^{63} +(1.64606 + 7.82882i) q^{64} +(-0.634129 - 0.366115i) q^{65} +(3.31146 - 4.76404i) q^{66} +(0.444103 - 0.256403i) q^{67} +(-8.50008 - 12.6219i) q^{68} +(15.4858 - 2.23651i) q^{69} +(1.20082 + 3.93286i) q^{70} +1.45233 q^{71} +(1.08890 + 8.41512i) q^{72} +4.06828 q^{73} +(-1.30196 - 4.26412i) q^{74} +(-3.70182 - 4.70113i) q^{75} +(2.91491 + 4.32839i) q^{76} +(2.05127 - 1.18430i) q^{77} +(-0.262610 - 0.558150i) q^{78} +(-10.0369 - 5.79482i) q^{79} +(-1.60178 - 11.5199i) q^{80} +(0.450966 + 8.98869i) q^{81} +(-8.64592 - 8.06839i) q^{82} +(-0.439593 + 0.761398i) q^{83} +(-1.06034 + 3.29783i) q^{84} +(11.0617 + 19.1594i) q^{85} +(2.64209 - 11.4250i) q^{86} +(-8.69646 + 6.84787i) q^{87} +(-6.25710 + 2.39398i) q^{88} +14.6787i q^{89} +(-0.734854 - 12.3144i) q^{90} -0.251825i q^{91} +(-16.2327 - 7.93195i) q^{92} +(0.0258910 + 0.179272i) q^{93} +(0.684190 + 0.158222i) q^{94} +(-3.79337 - 6.57031i) q^{95} +(4.43097 - 8.73880i) q^{96} +(2.88066 - 4.98945i) q^{97} +(-0.964871 + 1.03394i) q^{98} +(-6.81545 + 2.01056i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 6 q^{6} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 6 q^{6} + 4 q^{9} - 12 q^{12} - 34 q^{18} - 42 q^{20} - 2 q^{24} + 36 q^{25} + 28 q^{30} + 30 q^{32} - 44 q^{33} - 12 q^{34} + 20 q^{36} - 12 q^{40} - 60 q^{41} + 20 q^{42} - 24 q^{45} - 24 q^{46} - 28 q^{48} + 36 q^{49} - 78 q^{50} - 18 q^{52} - 10 q^{54} - 4 q^{57} - 18 q^{58} - 76 q^{60} - 60 q^{64} + 24 q^{65} + 54 q^{66} + 78 q^{68} + 24 q^{69} + 74 q^{72} - 24 q^{73} + 12 q^{76} - 20 q^{78} - 4 q^{81} - 36 q^{82} + 14 q^{84} + 30 q^{86} + 24 q^{88} + 8 q^{90} - 114 q^{92} - 96 q^{93} + 42 q^{94} + 112 q^{96} - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.412980 + 1.35257i 0.292021 + 0.956412i
\(3\) 0.642722 1.60839i 0.371076 0.928603i
\(4\) −1.65890 + 1.11717i −0.829448 + 0.558584i
\(5\) 2.51813 1.45385i 1.12614 0.650179i 0.183182 0.983079i \(-0.441360\pi\)
0.942962 + 0.332900i \(0.108027\pi\)
\(6\) 2.44089 + 0.205095i 0.996488 + 0.0837298i
\(7\) 0.866025 + 0.500000i 0.327327 + 0.188982i
\(8\) −2.19614 1.78241i −0.776453 0.630175i
\(9\) −2.17382 2.06749i −0.724606 0.689164i
\(10\) 3.00637 + 2.80555i 0.950697 + 0.887191i
\(11\) 1.18430 2.05127i 0.357081 0.618483i −0.630391 0.776278i \(-0.717105\pi\)
0.987472 + 0.157795i \(0.0504387\pi\)
\(12\) 0.730632 + 3.38617i 0.210915 + 0.977504i
\(13\) −0.125913 0.218087i −0.0349219 0.0604864i 0.848036 0.529938i \(-0.177785\pi\)
−0.882958 + 0.469452i \(0.844452\pi\)
\(14\) −0.318634 + 1.37785i −0.0851586 + 0.368246i
\(15\) −0.719887 4.98455i −0.185874 1.28701i
\(16\) 1.50387 3.70653i 0.375967 0.926633i
\(17\) 7.60859i 1.84535i 0.385574 + 0.922677i \(0.374003\pi\)
−0.385574 + 0.922677i \(0.625997\pi\)
\(18\) 1.89868 3.79407i 0.447524 0.894272i
\(19\) 2.60920i 0.598591i −0.954160 0.299295i \(-0.903248\pi\)
0.954160 0.299295i \(-0.0967516\pi\)
\(20\) −2.55313 + 5.22496i −0.570897 + 1.16834i
\(21\) 1.36081 1.07154i 0.296952 0.233830i
\(22\) 3.26359 + 0.754720i 0.695799 + 0.160907i
\(23\) 4.51674 + 7.82323i 0.941806 + 1.63126i 0.762024 + 0.647549i \(0.224206\pi\)
0.179782 + 0.983706i \(0.442461\pi\)
\(24\) −4.27830 + 2.38665i −0.873305 + 0.487173i
\(25\) 1.72733 2.99183i 0.345467 0.598366i
\(26\) 0.242979 0.260371i 0.0476520 0.0510630i
\(27\) −4.72248 + 2.16752i −0.908843 + 0.417139i
\(28\) −1.99523 + 0.138049i −0.377063 + 0.0260888i
\(29\) −5.53448 3.19533i −1.02773 0.593358i −0.111394 0.993776i \(-0.535532\pi\)
−0.916333 + 0.400418i \(0.868865\pi\)
\(30\) 6.44466 3.03222i 1.17663 0.553605i
\(31\) −0.0905658 + 0.0522882i −0.0162661 + 0.00939124i −0.508111 0.861292i \(-0.669656\pi\)
0.491845 + 0.870683i \(0.336323\pi\)
\(32\) 5.63441 + 0.503365i 0.996033 + 0.0889831i
\(33\) −2.53807 3.22322i −0.441820 0.561090i
\(34\) −10.2912 + 3.14219i −1.76492 + 0.538882i
\(35\) 2.90769 0.491489
\(36\) 5.91587 + 1.00123i 0.985979 + 0.166872i
\(37\) −3.15261 −0.518285 −0.259143 0.965839i \(-0.583440\pi\)
−0.259143 + 0.965839i \(0.583440\pi\)
\(38\) 3.52912 1.07755i 0.572499 0.174801i
\(39\) −0.431695 + 0.0623469i −0.0691265 + 0.00998349i
\(40\) −8.12152 1.29549i −1.28412 0.204835i
\(41\) −7.24183 + 4.18107i −1.13098 + 0.652974i −0.944182 0.329424i \(-0.893145\pi\)
−0.186801 + 0.982398i \(0.559812\pi\)
\(42\) 2.01132 + 1.39806i 0.310354 + 0.215726i
\(43\) −7.18102 4.14596i −1.09510 0.632254i −0.160167 0.987090i \(-0.551203\pi\)
−0.934928 + 0.354836i \(0.884537\pi\)
\(44\) 0.326984 + 4.72592i 0.0492946 + 0.712459i
\(45\) −8.47978 2.04582i −1.26409 0.304973i
\(46\) −8.71615 + 9.34005i −1.28513 + 1.37712i
\(47\) 0.248282 0.430036i 0.0362156 0.0627273i −0.847349 0.531036i \(-0.821803\pi\)
0.883565 + 0.468308i \(0.155136\pi\)
\(48\) −4.99497 4.80107i −0.720962 0.692975i
\(49\) 0.500000 + 0.866025i 0.0714286 + 0.123718i
\(50\) 4.76001 + 1.10078i 0.673167 + 0.155673i
\(51\) 12.2376 + 4.89020i 1.71360 + 0.684766i
\(52\) 0.452516 + 0.221118i 0.0627526 + 0.0306635i
\(53\) 2.38678i 0.327849i −0.986473 0.163925i \(-0.947585\pi\)
0.986473 0.163925i \(-0.0524154\pi\)
\(54\) −4.88201 5.49235i −0.664358 0.747415i
\(55\) 6.88718i 0.928667i
\(56\) −1.01071 2.64168i −0.135062 0.353009i
\(57\) −4.19660 1.67699i −0.555853 0.222122i
\(58\) 2.03629 8.80538i 0.267377 1.15620i
\(59\) 3.99487 + 6.91932i 0.520088 + 0.900818i 0.999727 + 0.0233526i \(0.00743403\pi\)
−0.479640 + 0.877466i \(0.659233\pi\)
\(60\) 6.76280 + 7.46462i 0.873074 + 0.963678i
\(61\) 3.69592 6.40151i 0.473214 0.819630i −0.526316 0.850289i \(-0.676427\pi\)
0.999530 + 0.0306589i \(0.00976058\pi\)
\(62\) −0.108125 0.100903i −0.0137319 0.0128147i
\(63\) −0.848836 2.87741i −0.106943 0.362519i
\(64\) 1.64606 + 7.82882i 0.205758 + 0.978603i
\(65\) −0.634129 0.366115i −0.0786541 0.0454109i
\(66\) 3.31146 4.76404i 0.407613 0.586412i
\(67\) 0.444103 0.256403i 0.0542559 0.0313246i −0.472627 0.881263i \(-0.656694\pi\)
0.526883 + 0.849938i \(0.323361\pi\)
\(68\) −8.50008 12.6219i −1.03079 1.53062i
\(69\) 15.4858 2.23651i 1.86427 0.269244i
\(70\) 1.20082 + 3.93286i 0.143525 + 0.470066i
\(71\) 1.45233 0.172360 0.0861800 0.996280i \(-0.472534\pi\)
0.0861800 + 0.996280i \(0.472534\pi\)
\(72\) 1.08890 + 8.41512i 0.128328 + 0.991732i
\(73\) 4.06828 0.476157 0.238078 0.971246i \(-0.423483\pi\)
0.238078 + 0.971246i \(0.423483\pi\)
\(74\) −1.30196 4.26412i −0.151350 0.495694i
\(75\) −3.70182 4.70113i −0.427450 0.542840i
\(76\) 2.91491 + 4.32839i 0.334364 + 0.496500i
\(77\) 2.05127 1.18430i 0.233764 0.134964i
\(78\) −0.262610 0.558150i −0.0297347 0.0631980i
\(79\) −10.0369 5.79482i −1.12924 0.651968i −0.185498 0.982645i \(-0.559390\pi\)
−0.943744 + 0.330677i \(0.892723\pi\)
\(80\) −1.60178 11.5199i −0.179085 1.28797i
\(81\) 0.450966 + 8.98869i 0.0501073 + 0.998744i
\(82\) −8.64592 8.06839i −0.954782 0.891004i
\(83\) −0.439593 + 0.761398i −0.0482516 + 0.0835743i −0.889142 0.457630i \(-0.848698\pi\)
0.840891 + 0.541205i \(0.182032\pi\)
\(84\) −1.06034 + 3.29783i −0.115693 + 0.359823i
\(85\) 11.0617 + 19.1594i 1.19981 + 2.07813i
\(86\) 2.64209 11.4250i 0.284904 1.23199i
\(87\) −8.69646 + 6.84787i −0.932359 + 0.734169i
\(88\) −6.25710 + 2.39398i −0.667009 + 0.255199i
\(89\) 14.6787i 1.55594i 0.628304 + 0.777968i \(0.283749\pi\)
−0.628304 + 0.777968i \(0.716251\pi\)
\(90\) −0.734854 12.3144i −0.0774605 1.29805i
\(91\) 0.251825i 0.0263984i
\(92\) −16.2327 7.93195i −1.69237 0.826963i
\(93\) 0.0258910 + 0.179272i 0.00268478 + 0.0185896i
\(94\) 0.684190 + 0.158222i 0.0705688 + 0.0163194i
\(95\) −3.79337 6.57031i −0.389191 0.674099i
\(96\) 4.43097 8.73880i 0.452234 0.891900i
\(97\) 2.88066 4.98945i 0.292487 0.506602i −0.681910 0.731436i \(-0.738851\pi\)
0.974397 + 0.224834i \(0.0721839\pi\)
\(98\) −0.964871 + 1.03394i −0.0974667 + 0.104443i
\(99\) −6.81545 + 2.01056i −0.684979 + 0.202069i
\(100\) 0.476913 + 6.89285i 0.0476913 + 0.689285i
\(101\) −12.4968 7.21504i −1.24348 0.717923i −0.273678 0.961821i \(-0.588240\pi\)
−0.969801 + 0.243898i \(0.921574\pi\)
\(102\) −1.56049 + 18.5717i −0.154511 + 1.83887i
\(103\) −10.3804 + 5.99314i −1.02281 + 0.590521i −0.914918 0.403641i \(-0.867745\pi\)
−0.107896 + 0.994162i \(0.534411\pi\)
\(104\) −0.112198 + 0.703377i −0.0110019 + 0.0689718i
\(105\) 1.86884 4.67669i 0.182380 0.456398i
\(106\) 3.22829 0.985691i 0.313559 0.0957388i
\(107\) 6.10346 0.590043 0.295022 0.955491i \(-0.404673\pi\)
0.295022 + 0.955491i \(0.404673\pi\)
\(108\) 5.41262 8.87150i 0.520830 0.853660i
\(109\) 6.25509 0.599129 0.299564 0.954076i \(-0.403159\pi\)
0.299564 + 0.954076i \(0.403159\pi\)
\(110\) 9.31540 2.84427i 0.888188 0.271190i
\(111\) −2.02625 + 5.07061i −0.192323 + 0.481281i
\(112\) 3.15565 2.45802i 0.298181 0.232261i
\(113\) 15.8902 9.17418i 1.49482 0.863035i 0.494838 0.868985i \(-0.335228\pi\)
0.999982 + 0.00595082i \(0.00189422\pi\)
\(114\) 0.535134 6.36876i 0.0501199 0.596489i
\(115\) 22.7475 + 13.1333i 2.12122 + 1.22469i
\(116\) 12.7508 0.882224i 1.18389 0.0819125i
\(117\) −0.177182 + 0.734404i −0.0163805 + 0.0678957i
\(118\) −7.70906 + 8.26088i −0.709677 + 0.760476i
\(119\) −3.80429 + 6.58923i −0.348739 + 0.604034i
\(120\) −7.30352 + 12.2299i −0.666717 + 1.11643i
\(121\) 2.69485 + 4.66762i 0.244986 + 0.424329i
\(122\) 10.1848 + 2.35529i 0.922092 + 0.213238i
\(123\) 2.07030 + 14.3349i 0.186673 + 1.29254i
\(124\) 0.0918245 0.187918i 0.00824608 0.0168755i
\(125\) 4.49335i 0.401898i
\(126\) 3.54135 2.33642i 0.315488 0.208145i
\(127\) 13.5835i 1.20534i −0.797989 0.602672i \(-0.794103\pi\)
0.797989 0.602672i \(-0.205897\pi\)
\(128\) −9.90925 + 5.45956i −0.875862 + 0.482562i
\(129\) −11.2837 + 8.88516i −0.993476 + 0.782295i
\(130\) 0.233314 1.00890i 0.0204629 0.0884866i
\(131\) 0.740508 + 1.28260i 0.0646985 + 0.112061i 0.896560 0.442922i \(-0.146058\pi\)
−0.831862 + 0.554983i \(0.812725\pi\)
\(132\) 7.81126 + 2.51153i 0.679883 + 0.218601i
\(133\) 1.30460 2.25963i 0.113123 0.195935i
\(134\) 0.530209 + 0.494792i 0.0458031 + 0.0427435i
\(135\) −8.74061 + 12.3239i −0.752272 + 1.06067i
\(136\) 13.5616 16.7095i 1.16290 1.43283i
\(137\) 15.5721 + 8.99055i 1.33041 + 0.768115i 0.985363 0.170469i \(-0.0545284\pi\)
0.345051 + 0.938584i \(0.387862\pi\)
\(138\) 9.42036 + 20.0220i 0.801914 + 1.70438i
\(139\) 7.21297 4.16441i 0.611796 0.353221i −0.161872 0.986812i \(-0.551753\pi\)
0.773668 + 0.633591i \(0.218420\pi\)
\(140\) −4.82355 + 3.24838i −0.407665 + 0.274538i
\(141\) −0.532089 0.675727i −0.0448100 0.0569064i
\(142\) 0.599783 + 1.96438i 0.0503327 + 0.164847i
\(143\) −0.596475 −0.0498797
\(144\) −10.9324 + 4.94809i −0.911030 + 0.412341i
\(145\) −18.5821 −1.54316
\(146\) 1.68012 + 5.50264i 0.139048 + 0.455402i
\(147\) 1.71426 0.247580i 0.141390 0.0204201i
\(148\) 5.22984 3.52199i 0.429890 0.289506i
\(149\) −2.86752 + 1.65557i −0.234917 + 0.135629i −0.612838 0.790208i \(-0.709972\pi\)
0.377921 + 0.925838i \(0.376639\pi\)
\(150\) 4.82984 6.94845i 0.394355 0.567339i
\(151\) 5.39261 + 3.11343i 0.438845 + 0.253367i 0.703107 0.711084i \(-0.251795\pi\)
−0.264263 + 0.964451i \(0.585129\pi\)
\(152\) −4.65065 + 5.73016i −0.377217 + 0.464778i
\(153\) 15.7307 16.5397i 1.27175 1.33715i
\(154\) 2.44899 + 2.28540i 0.197345 + 0.184163i
\(155\) −0.152038 + 0.263337i −0.0122120 + 0.0211518i
\(156\) 0.646485 0.585703i 0.0517602 0.0468938i
\(157\) 1.48912 + 2.57922i 0.118844 + 0.205844i 0.919310 0.393534i \(-0.128748\pi\)
−0.800466 + 0.599379i \(0.795414\pi\)
\(158\) 3.69286 15.9688i 0.293788 1.27041i
\(159\) −3.83886 1.53403i −0.304442 0.121657i
\(160\) 14.9200 6.92403i 1.17953 0.547392i
\(161\) 9.03348i 0.711938i
\(162\) −11.9716 + 4.32211i −0.940578 + 0.339577i
\(163\) 8.29335i 0.649585i 0.945785 + 0.324793i \(0.105294\pi\)
−0.945785 + 0.324793i \(0.894706\pi\)
\(164\) 7.34247 15.0263i 0.573351 1.17336i
\(165\) −11.0772 4.42654i −0.862363 0.344606i
\(166\) −1.21139 0.280139i −0.0940219 0.0217430i
\(167\) −9.34971 16.1942i −0.723503 1.25314i −0.959587 0.281411i \(-0.909198\pi\)
0.236085 0.971732i \(-0.424136\pi\)
\(168\) −4.89845 0.0722504i −0.377923 0.00557424i
\(169\) 6.46829 11.2034i 0.497561 0.861801i
\(170\) −21.3462 + 22.8742i −1.63718 + 1.75437i
\(171\) −5.39449 + 5.67192i −0.412527 + 0.433742i
\(172\) 16.5443 1.14469i 1.26149 0.0872819i
\(173\) 7.58848 + 4.38121i 0.576942 + 0.333097i 0.759917 0.650020i \(-0.225240\pi\)
−0.182975 + 0.983118i \(0.558573\pi\)
\(174\) −12.8537 8.93455i −0.974436 0.677326i
\(175\) 2.99183 1.72733i 0.226161 0.130574i
\(176\) −5.82208 7.47451i −0.438856 0.563412i
\(177\) 13.6965 1.97810i 1.02949 0.148683i
\(178\) −19.8539 + 6.06199i −1.48812 + 0.454365i
\(179\) −2.87709 −0.215044 −0.107522 0.994203i \(-0.534292\pi\)
−0.107522 + 0.994203i \(0.534292\pi\)
\(180\) 16.3526 6.07953i 1.21885 0.453142i
\(181\) −4.82998 −0.359010 −0.179505 0.983757i \(-0.557450\pi\)
−0.179505 + 0.983757i \(0.557450\pi\)
\(182\) 0.340611 0.103999i 0.0252478 0.00770890i
\(183\) −7.92067 10.0589i −0.585513 0.743572i
\(184\) 4.02476 25.2316i 0.296709 1.86010i
\(185\) −7.93868 + 4.58340i −0.583664 + 0.336978i
\(186\) −0.231785 + 0.109055i −0.0169953 + 0.00799630i
\(187\) 15.6073 + 9.01088i 1.14132 + 0.658941i
\(188\) 0.0685500 + 0.990758i 0.00499952 + 0.0722584i
\(189\) −5.17355 0.484116i −0.376320 0.0352143i
\(190\) 7.32022 7.84421i 0.531065 0.569078i
\(191\) 10.2584 17.7680i 0.742270 1.28565i −0.209189 0.977875i \(-0.567082\pi\)
0.951459 0.307775i \(-0.0995843\pi\)
\(192\) 13.6497 + 2.38425i 0.985085 + 0.172068i
\(193\) −9.29894 16.1062i −0.669352 1.15935i −0.978085 0.208204i \(-0.933238\pi\)
0.308733 0.951149i \(-0.400095\pi\)
\(194\) 7.93824 + 1.83576i 0.569932 + 0.131800i
\(195\) −0.996423 + 0.784616i −0.0713553 + 0.0561875i
\(196\) −1.79694 0.878061i −0.128353 0.0627187i
\(197\) 17.2523i 1.22917i −0.788850 0.614586i \(-0.789323\pi\)
0.788850 0.614586i \(-0.210677\pi\)
\(198\) −5.53407 8.38806i −0.393289 0.596113i
\(199\) 1.17220i 0.0830948i 0.999137 + 0.0415474i \(0.0132288\pi\)
−0.999137 + 0.0415474i \(0.986771\pi\)
\(200\) −9.12612 + 3.49167i −0.645314 + 0.246898i
\(201\) −0.126961 0.879086i −0.00895511 0.0620059i
\(202\) 4.59792 19.8825i 0.323508 1.39893i
\(203\) −3.19533 5.53448i −0.224268 0.388444i
\(204\) −25.7640 + 5.55908i −1.80384 + 0.389213i
\(205\) −12.1573 + 21.0570i −0.849100 + 1.47068i
\(206\) −12.3930 11.5652i −0.863464 0.805786i
\(207\) 6.35587 26.3446i 0.441764 1.83108i
\(208\) −0.997702 + 0.138725i −0.0691782 + 0.00961885i
\(209\) −5.35218 3.09008i −0.370218 0.213745i
\(210\) 7.09735 + 0.596354i 0.489764 + 0.0411523i
\(211\) −8.81152 + 5.08733i −0.606610 + 0.350226i −0.771637 0.636063i \(-0.780562\pi\)
0.165028 + 0.986289i \(0.447229\pi\)
\(212\) 2.66643 + 3.95942i 0.183131 + 0.271934i
\(213\) 0.933445 2.33591i 0.0639586 0.160054i
\(214\) 2.52060 + 8.25536i 0.172305 + 0.564325i
\(215\) −24.1104 −1.64431
\(216\) 14.2346 + 3.65721i 0.968544 + 0.248841i
\(217\) −0.104576 −0.00709911
\(218\) 2.58322 + 8.46045i 0.174958 + 0.573014i
\(219\) 2.61477 6.54337i 0.176690 0.442160i
\(220\) 7.69414 + 11.4251i 0.518739 + 0.770281i
\(221\) 1.65933 0.958017i 0.111619 0.0644432i
\(222\) −7.69516 0.646585i −0.516465 0.0433959i
\(223\) 5.28069 + 3.04881i 0.353621 + 0.204163i 0.666279 0.745703i \(-0.267886\pi\)
−0.312658 + 0.949866i \(0.601219\pi\)
\(224\) 4.62786 + 3.25313i 0.309212 + 0.217359i
\(225\) −9.94048 + 2.93244i −0.662699 + 0.195496i
\(226\) 18.9710 + 17.7038i 1.26194 + 1.17764i
\(227\) −11.1581 + 19.3264i −0.740589 + 1.28274i 0.211639 + 0.977348i \(0.432120\pi\)
−0.952228 + 0.305390i \(0.901213\pi\)
\(228\) 8.83520 1.90636i 0.585125 0.126252i
\(229\) −2.70895 4.69204i −0.179013 0.310059i 0.762530 0.646953i \(-0.223957\pi\)
−0.941543 + 0.336894i \(0.890624\pi\)
\(230\) −8.36944 + 36.1914i −0.551864 + 2.38639i
\(231\) −0.586420 4.06042i −0.0385836 0.267156i
\(232\) 6.45911 + 16.8821i 0.424062 + 1.10836i
\(233\) 6.08190i 0.398439i −0.979955 0.199219i \(-0.936159\pi\)
0.979955 0.199219i \(-0.0638406\pi\)
\(234\) −1.06651 + 0.0636432i −0.0697197 + 0.00416049i
\(235\) 1.44385i 0.0941865i
\(236\) −14.3571 7.01548i −0.934568 0.456669i
\(237\) −15.7713 + 12.4188i −1.02445 + 0.806687i
\(238\) −10.4835 2.42436i −0.679544 0.157148i
\(239\) −4.58910 7.94855i −0.296844 0.514149i 0.678568 0.734538i \(-0.262601\pi\)
−0.975412 + 0.220388i \(0.929268\pi\)
\(240\) −19.5580 4.82782i −1.26246 0.311635i
\(241\) −4.60034 + 7.96801i −0.296334 + 0.513265i −0.975294 0.220910i \(-0.929097\pi\)
0.678961 + 0.734175i \(0.262431\pi\)
\(242\) −5.20036 + 5.57260i −0.334292 + 0.358221i
\(243\) 14.7471 + 5.05190i 0.946030 + 0.324080i
\(244\) 1.02043 + 14.7484i 0.0653266 + 0.944170i
\(245\) 2.51813 + 1.45385i 0.160878 + 0.0928828i
\(246\) −18.5340 + 8.72026i −1.18169 + 0.555984i
\(247\) −0.569032 + 0.328531i −0.0362066 + 0.0209039i
\(248\) 0.292094 + 0.0465928i 0.0185480 + 0.00295864i
\(249\) 0.942087 + 1.19640i 0.0597023 + 0.0758190i
\(250\) −6.07758 + 1.85566i −0.384380 + 0.117363i
\(251\) 17.5771 1.10946 0.554729 0.832031i \(-0.312822\pi\)
0.554729 + 0.832031i \(0.312822\pi\)
\(252\) 4.62268 + 3.82503i 0.291202 + 0.240954i
\(253\) 21.3968 1.34520
\(254\) 18.3727 5.60972i 1.15280 0.351985i
\(255\) 37.9254 5.47732i 2.37498 0.343003i
\(256\) −11.4768 11.1483i −0.717298 0.696767i
\(257\) −9.36418 + 5.40641i −0.584122 + 0.337243i −0.762770 0.646670i \(-0.776161\pi\)
0.178648 + 0.983913i \(0.442828\pi\)
\(258\) −16.6778 11.5926i −1.03831 0.721726i
\(259\) −2.73024 1.57630i −0.169649 0.0979467i
\(260\) 1.46097 0.101083i 0.0906053 0.00626893i
\(261\) 5.42463 + 18.3886i 0.335776 + 1.13822i
\(262\) −1.42899 + 1.53128i −0.0882833 + 0.0946026i
\(263\) 1.23346 2.13642i 0.0760585 0.131737i −0.825488 0.564420i \(-0.809100\pi\)
0.901546 + 0.432683i \(0.142433\pi\)
\(264\) −0.171133 + 11.6025i −0.0105325 + 0.714084i
\(265\) −3.47001 6.01023i −0.213161 0.369205i
\(266\) 3.59508 + 0.831380i 0.220429 + 0.0509752i
\(267\) 23.6090 + 9.43430i 1.44485 + 0.577370i
\(268\) −0.450275 + 0.921484i −0.0275049 + 0.0562886i
\(269\) 18.6417i 1.13661i −0.822820 0.568303i \(-0.807600\pi\)
0.822820 0.568303i \(-0.192400\pi\)
\(270\) −20.2786 6.73279i −1.23412 0.409745i
\(271\) 11.9123i 0.723621i −0.932252 0.361811i \(-0.882159\pi\)
0.932252 0.361811i \(-0.117841\pi\)
\(272\) 28.2015 + 11.4423i 1.70997 + 0.693792i
\(273\) −0.405032 0.161853i −0.0245137 0.00979582i
\(274\) −5.72940 + 24.7753i −0.346126 + 1.49673i
\(275\) −4.09137 7.08647i −0.246719 0.427330i
\(276\) −23.1907 + 21.0104i −1.39592 + 1.26468i
\(277\) 8.83024 15.2944i 0.530558 0.918953i −0.468807 0.883301i \(-0.655316\pi\)
0.999364 0.0356520i \(-0.0113508\pi\)
\(278\) 8.61147 + 8.03624i 0.516482 + 0.481981i
\(279\) 0.304979 + 0.0735790i 0.0182586 + 0.00440506i
\(280\) −6.38570 5.18268i −0.381618 0.309725i
\(281\) −16.5651 9.56389i −0.988193 0.570534i −0.0834596 0.996511i \(-0.526597\pi\)
−0.904734 + 0.425977i \(0.859930\pi\)
\(282\) 0.694226 0.998749i 0.0413406 0.0594747i
\(283\) −2.81044 + 1.62261i −0.167063 + 0.0964541i −0.581200 0.813760i \(-0.697417\pi\)
0.414137 + 0.910215i \(0.364083\pi\)
\(284\) −2.40927 + 1.62250i −0.142964 + 0.0962776i
\(285\) −13.0057 + 1.87833i −0.770390 + 0.111262i
\(286\) −0.246332 0.806775i −0.0145659 0.0477056i
\(287\) −8.36214 −0.493602
\(288\) −11.2075 12.7433i −0.660407 0.750907i
\(289\) −40.8906 −2.40533
\(290\) −7.67402 25.1336i −0.450634 1.47589i
\(291\) −6.17351 7.84005i −0.361897 0.459592i
\(292\) −6.74886 + 4.54496i −0.394947 + 0.265974i
\(293\) 11.1294 6.42555i 0.650185 0.375385i −0.138342 0.990385i \(-0.544177\pi\)
0.788527 + 0.615000i \(0.210844\pi\)
\(294\) 1.04283 + 2.21642i 0.0608189 + 0.129264i
\(295\) 20.1192 + 11.6158i 1.17139 + 0.676300i
\(296\) 6.92356 + 5.61922i 0.402424 + 0.326611i
\(297\) −1.14668 + 12.2541i −0.0665372 + 0.711056i
\(298\) −3.42350 3.19481i −0.198318 0.185071i
\(299\) 1.13743 1.97009i 0.0657792 0.113933i
\(300\) 11.3929 + 3.66313i 0.657769 + 0.211491i
\(301\) −4.14596 7.18102i −0.238969 0.413907i
\(302\) −1.98409 + 8.57967i −0.114172 + 0.493705i
\(303\) −19.6365 + 15.4624i −1.12809 + 0.888294i
\(304\) −9.67107 3.92389i −0.554674 0.225050i
\(305\) 21.4932i 1.23069i
\(306\) 28.8675 + 14.4463i 1.65025 + 0.825840i
\(307\) 17.7017i 1.01029i −0.863035 0.505144i \(-0.831439\pi\)
0.863035 0.505144i \(-0.168561\pi\)
\(308\) −2.07978 + 4.25626i −0.118507 + 0.242523i
\(309\) 2.96756 + 20.5477i 0.168819 + 1.16891i
\(310\) −0.418971 0.0968890i −0.0237960 0.00550293i
\(311\) 3.30345 + 5.72174i 0.187321 + 0.324450i 0.944356 0.328924i \(-0.106686\pi\)
−0.757035 + 0.653374i \(0.773353\pi\)
\(312\) 1.05919 + 0.632533i 0.0599648 + 0.0358101i
\(313\) 5.34114 9.25113i 0.301899 0.522905i −0.674667 0.738122i \(-0.735713\pi\)
0.976566 + 0.215217i \(0.0690460\pi\)
\(314\) −2.87361 + 3.07930i −0.162167 + 0.173775i
\(315\) −6.32079 6.01162i −0.356136 0.338717i
\(316\) 23.1240 1.59994i 1.30083 0.0900034i
\(317\) −22.1073 12.7636i −1.24167 0.716878i −0.272235 0.962231i \(-0.587763\pi\)
−0.969434 + 0.245353i \(0.921096\pi\)
\(318\) 0.489517 5.82586i 0.0274508 0.326698i
\(319\) −13.1090 + 7.56849i −0.733964 + 0.423754i
\(320\) 15.5269 + 17.3209i 0.867980 + 0.968268i
\(321\) 3.92282 9.81672i 0.218951 0.547916i
\(322\) −12.2184 + 3.73065i −0.680906 + 0.207901i
\(323\) 19.8523 1.10461
\(324\) −10.7900 14.4075i −0.599444 0.800417i
\(325\) −0.869972 −0.0482573
\(326\) −11.2173 + 3.42498i −0.621271 + 0.189692i
\(327\) 4.02028 10.0606i 0.222322 0.556353i
\(328\) 23.3564 + 3.72565i 1.28964 + 0.205715i
\(329\) 0.430036 0.248282i 0.0237087 0.0136882i
\(330\) 1.41253 16.8108i 0.0777571 0.925406i
\(331\) −23.0921 13.3322i −1.26925 0.732804i −0.294407 0.955680i \(-0.595122\pi\)
−0.974847 + 0.222876i \(0.928456\pi\)
\(332\) −0.121371 1.75418i −0.00666108 0.0962731i
\(333\) 6.85319 + 6.51798i 0.375553 + 0.357183i
\(334\) 18.0425 19.3340i 0.987243 1.05791i
\(335\) 0.745541 1.29132i 0.0407333 0.0705521i
\(336\) −1.92524 6.65533i −0.105030 0.363078i
\(337\) 3.17158 + 5.49333i 0.172767 + 0.299241i 0.939386 0.342861i \(-0.111396\pi\)
−0.766619 + 0.642102i \(0.778063\pi\)
\(338\) 17.8247 + 4.12204i 0.969535 + 0.224209i
\(339\) −4.54269 31.4540i −0.246725 1.70834i
\(340\) −39.7546 19.4257i −2.15599 1.05351i
\(341\) 0.247700i 0.0134137i
\(342\) −9.89949 4.95404i −0.535303 0.267884i
\(343\) 1.00000i 0.0539949i
\(344\) 8.38074 + 21.9046i 0.451859 + 1.18102i
\(345\) 35.7437 28.1458i 1.92438 1.51532i
\(346\) −2.79201 + 12.0733i −0.150099 + 0.649065i
\(347\) 2.10127 + 3.63950i 0.112802 + 0.195379i 0.916899 0.399119i \(-0.130684\pi\)
−0.804097 + 0.594498i \(0.797351\pi\)
\(348\) 6.77629 21.0753i 0.363247 1.12976i
\(349\) −17.6897 + 30.6395i −0.946908 + 1.64009i −0.195023 + 0.980799i \(0.562478\pi\)
−0.751885 + 0.659294i \(0.770855\pi\)
\(350\) 3.57190 + 3.33331i 0.190926 + 0.178173i
\(351\) 1.06733 + 0.756994i 0.0569697 + 0.0404054i
\(352\) 7.70540 10.9616i 0.410699 0.584255i
\(353\) 25.9389 + 14.9758i 1.38059 + 0.797082i 0.992229 0.124426i \(-0.0397090\pi\)
0.388358 + 0.921509i \(0.373042\pi\)
\(354\) 8.33191 + 17.7086i 0.442836 + 0.941202i
\(355\) 3.65716 2.11146i 0.194102 0.112065i
\(356\) −16.3985 24.3504i −0.869121 1.29057i
\(357\) 8.15293 + 10.3538i 0.431499 + 0.547982i
\(358\) −1.18818 3.89147i −0.0627973 0.205670i
\(359\) 5.48093 0.289272 0.144636 0.989485i \(-0.453799\pi\)
0.144636 + 0.989485i \(0.453799\pi\)
\(360\) 14.9763 + 19.6073i 0.789320 + 1.03340i
\(361\) 12.1921 0.641689
\(362\) −1.99468 6.53289i −0.104838 0.343361i
\(363\) 9.23937 1.33438i 0.484941 0.0700369i
\(364\) 0.281331 + 0.417752i 0.0147458 + 0.0218961i
\(365\) 10.2445 5.91465i 0.536221 0.309587i
\(366\) 10.3342 14.8674i 0.540179 0.777130i
\(367\) −14.7364 8.50804i −0.769232 0.444116i 0.0633686 0.997990i \(-0.479816\pi\)
−0.832601 + 0.553874i \(0.813149\pi\)
\(368\) 35.7896 4.97635i 1.86566 0.259410i
\(369\) 24.3867 + 5.88352i 1.26952 + 0.306284i
\(370\) −9.47789 8.84478i −0.492732 0.459818i
\(371\) 1.19339 2.06701i 0.0619577 0.107314i
\(372\) −0.243227 0.268468i −0.0126107 0.0139194i
\(373\) −0.570268 0.987733i −0.0295274 0.0511429i 0.850884 0.525353i \(-0.176067\pi\)
−0.880411 + 0.474211i \(0.842734\pi\)
\(374\) −5.74235 + 24.8313i −0.296930 + 1.28400i
\(375\) 7.22705 + 2.88798i 0.373203 + 0.149134i
\(376\) −1.31176 + 0.501882i −0.0676489 + 0.0258826i
\(377\) 1.60933i 0.0828847i
\(378\) −1.48177 7.19752i −0.0762141 0.370201i
\(379\) 26.5456i 1.36356i 0.731559 + 0.681778i \(0.238793\pi\)
−0.731559 + 0.681778i \(0.761207\pi\)
\(380\) 13.6329 + 6.66162i 0.699355 + 0.341734i
\(381\) −21.8476 8.73043i −1.11928 0.447273i
\(382\) 28.2690 + 6.53735i 1.44637 + 0.334480i
\(383\) 17.3272 + 30.0116i 0.885380 + 1.53352i 0.845277 + 0.534328i \(0.179435\pi\)
0.0401027 + 0.999196i \(0.487231\pi\)
\(384\) 2.41220 + 19.4469i 0.123097 + 0.992395i
\(385\) 3.44359 5.96447i 0.175502 0.303978i
\(386\) 17.9446 19.2290i 0.913354 0.978732i
\(387\) 7.03849 + 23.8593i 0.357786 + 1.21283i
\(388\) 0.795344 + 11.4952i 0.0403775 + 0.583578i
\(389\) 10.2165 + 5.89849i 0.517996 + 0.299065i 0.736114 0.676857i \(-0.236659\pi\)
−0.218118 + 0.975922i \(0.569992\pi\)
\(390\) −1.47275 1.02370i −0.0745756 0.0518372i
\(391\) −59.5237 + 34.3660i −3.01024 + 1.73796i
\(392\) 0.445538 2.79312i 0.0225031 0.141074i
\(393\) 2.53885 0.366670i 0.128068 0.0184961i
\(394\) 23.3349 7.12483i 1.17559 0.358944i
\(395\) −33.6991 −1.69558
\(396\) 9.05999 10.9493i 0.455281 0.550224i
\(397\) −13.5577 −0.680441 −0.340221 0.940346i \(-0.610502\pi\)
−0.340221 + 0.940346i \(0.610502\pi\)
\(398\) −1.58548 + 0.484094i −0.0794729 + 0.0242654i
\(399\) −2.79587 3.55061i −0.139968 0.177753i
\(400\) −8.49163 10.9017i −0.424581 0.545086i
\(401\) −5.39384 + 3.11414i −0.269356 + 0.155513i −0.628595 0.777733i \(-0.716370\pi\)
0.359239 + 0.933246i \(0.383036\pi\)
\(402\) 1.13659 0.534768i 0.0566881 0.0266718i
\(403\) 0.0228067 + 0.0131675i 0.00113609 + 0.000655919i
\(404\) 28.7913 1.99206i 1.43242 0.0991085i
\(405\) 14.2038 + 21.9791i 0.705791 + 1.09215i
\(406\) 6.16617 6.60754i 0.306022 0.327927i
\(407\) −3.73364 + 6.46686i −0.185070 + 0.320550i
\(408\) −18.1591 32.5519i −0.899007 1.61156i
\(409\) −0.409311 0.708947i −0.0202391 0.0350552i 0.855728 0.517425i \(-0.173109\pi\)
−0.875968 + 0.482370i \(0.839776\pi\)
\(410\) −33.5018 7.74744i −1.65453 0.382619i
\(411\) 24.4688 19.2675i 1.20696 0.950397i
\(412\) 10.5247 21.5387i 0.518514 1.06113i
\(413\) 7.98974i 0.393149i
\(414\) 38.2578 2.28301i 1.88027 0.112204i
\(415\) 2.55640i 0.125489i
\(416\) −0.599666 1.29217i −0.0294011 0.0633540i
\(417\) −2.06205 14.2778i −0.100979 0.699187i
\(418\) 1.96921 8.51534i 0.0963174 0.416499i
\(419\) 7.99122 + 13.8412i 0.390397 + 0.676187i 0.992502 0.122230i \(-0.0390045\pi\)
−0.602105 + 0.798417i \(0.705671\pi\)
\(420\) 2.12445 + 9.84595i 0.103663 + 0.480433i
\(421\) −4.02490 + 6.97133i −0.196161 + 0.339762i −0.947281 0.320405i \(-0.896181\pi\)
0.751119 + 0.660167i \(0.229514\pi\)
\(422\) −10.5200 9.81723i −0.512103 0.477896i
\(423\) −1.42882 + 0.421501i −0.0694714 + 0.0204941i
\(424\) −4.25421 + 5.24170i −0.206603 + 0.254559i
\(425\) 22.7636 + 13.1426i 1.10420 + 0.637508i
\(426\) 3.54498 + 0.297866i 0.171755 + 0.0144317i
\(427\) 6.40151 3.69592i 0.309791 0.178858i
\(428\) −10.1250 + 6.81859i −0.489410 + 0.329589i
\(429\) −0.383367 + 0.959362i −0.0185092 + 0.0463185i
\(430\) −9.95709 32.6110i −0.480174 1.57264i
\(431\) −32.4604 −1.56356 −0.781780 0.623554i \(-0.785688\pi\)
−0.781780 + 0.623554i \(0.785688\pi\)
\(432\) 0.931986 + 20.7637i 0.0448402 + 0.998994i
\(433\) −18.4266 −0.885525 −0.442762 0.896639i \(-0.646001\pi\)
−0.442762 + 0.896639i \(0.646001\pi\)
\(434\) −0.0431879 0.141447i −0.00207309 0.00678967i
\(435\) −11.9431 + 29.8872i −0.572628 + 1.43298i
\(436\) −10.3765 + 6.98799i −0.496946 + 0.334664i
\(437\) 20.4123 11.7851i 0.976455 0.563756i
\(438\) 9.93023 + 0.834386i 0.474485 + 0.0398685i
\(439\) 31.5605 + 18.2214i 1.50630 + 0.869662i 0.999973 + 0.00731896i \(0.00232972\pi\)
0.506325 + 0.862343i \(0.331004\pi\)
\(440\) −12.2757 + 15.1252i −0.585223 + 0.721066i
\(441\) 0.703591 2.91633i 0.0335043 0.138873i
\(442\) 1.98106 + 1.84872i 0.0942293 + 0.0879349i
\(443\) 11.3610 19.6778i 0.539776 0.934919i −0.459140 0.888364i \(-0.651842\pi\)
0.998916 0.0465549i \(-0.0148243\pi\)
\(444\) −2.30339 10.6753i −0.109314 0.506626i
\(445\) 21.3405 + 36.9628i 1.01164 + 1.75221i
\(446\) −1.94291 + 8.40160i −0.0919994 + 0.397827i
\(447\) 0.819770 + 5.67616i 0.0387738 + 0.268473i
\(448\) −2.48888 + 7.60299i −0.117589 + 0.359208i
\(449\) 9.26171i 0.437087i −0.975827 0.218544i \(-0.929869\pi\)
0.975827 0.218544i \(-0.0701306\pi\)
\(450\) −8.07156 12.2342i −0.380497 0.576724i
\(451\) 19.8066i 0.932658i
\(452\) −16.1110 + 32.9710i −0.757797 + 1.55083i
\(453\) 8.47354 6.67234i 0.398122 0.313494i
\(454\) −30.7484 7.11071i −1.44309 0.333722i
\(455\) −0.366115 0.634129i −0.0171637 0.0297284i
\(456\) 6.22725 + 11.1629i 0.291618 + 0.522753i
\(457\) 5.90082 10.2205i 0.276029 0.478096i −0.694365 0.719623i \(-0.744315\pi\)
0.970394 + 0.241527i \(0.0776482\pi\)
\(458\) 5.22758 5.60177i 0.244269 0.261753i
\(459\) −16.4918 35.9314i −0.769769 1.67714i
\(460\) −52.4079 + 3.62607i −2.44353 + 0.169066i
\(461\) 2.21744 + 1.28024i 0.103276 + 0.0596266i 0.550749 0.834671i \(-0.314342\pi\)
−0.447472 + 0.894298i \(0.647676\pi\)
\(462\) 5.24983 2.47005i 0.244244 0.114917i
\(463\) 10.0234 5.78704i 0.465829 0.268947i −0.248663 0.968590i \(-0.579991\pi\)
0.714492 + 0.699643i \(0.246658\pi\)
\(464\) −20.1667 + 15.7084i −0.936217 + 0.729243i
\(465\) 0.325830 + 0.413788i 0.0151100 + 0.0191890i
\(466\) 8.22620 2.51170i 0.381071 0.116352i
\(467\) 0.571766 0.0264582 0.0132291 0.999912i \(-0.495789\pi\)
0.0132291 + 0.999912i \(0.495789\pi\)
\(468\) −0.526527 1.41624i −0.0243387 0.0654658i
\(469\) 0.512806 0.0236792
\(470\) 1.95291 0.596282i 0.0900811 0.0275044i
\(471\) 5.10548 0.737351i 0.235248 0.0339753i
\(472\) 3.55973 22.3163i 0.163850 1.02719i
\(473\) −17.0090 + 9.82016i −0.782076 + 0.451532i
\(474\) −23.3105 16.2030i −1.07069 0.744230i
\(475\) −7.80627 4.50695i −0.358176 0.206793i
\(476\) −1.05036 15.1809i −0.0481430 0.695815i
\(477\) −4.93464 + 5.18842i −0.225942 + 0.237562i
\(478\) 8.85578 9.48967i 0.405054 0.434048i
\(479\) 13.9036 24.0818i 0.635273 1.10033i −0.351184 0.936306i \(-0.614221\pi\)
0.986457 0.164019i \(-0.0524457\pi\)
\(480\) −1.54709 28.4474i −0.0706147 1.29844i
\(481\) 0.396953 + 0.687542i 0.0180995 + 0.0313492i
\(482\) −12.6771 2.93165i −0.577428 0.133533i
\(483\) 14.5293 + 5.80602i 0.661108 + 0.264183i
\(484\) −9.68499 4.73248i −0.440227 0.215113i
\(485\) 16.7521i 0.760676i
\(486\) −0.742783 + 22.0329i −0.0336933 + 0.999432i
\(487\) 10.3286i 0.468031i −0.972233 0.234016i \(-0.924813\pi\)
0.972233 0.234016i \(-0.0751867\pi\)
\(488\) −19.5268 + 7.47100i −0.883939 + 0.338196i
\(489\) 13.3389 + 5.33031i 0.603206 + 0.241045i
\(490\) −0.926490 + 4.00636i −0.0418546 + 0.180989i
\(491\) −16.9157 29.2988i −0.763394 1.32224i −0.941091 0.338153i \(-0.890198\pi\)
0.177697 0.984085i \(-0.443135\pi\)
\(492\) −19.4489 21.4673i −0.876826 0.967819i
\(493\) 24.3120 42.1096i 1.09496 1.89652i
\(494\) −0.679360 0.633979i −0.0305658 0.0285241i
\(495\) −14.2392 + 14.9715i −0.640003 + 0.672918i
\(496\) 0.0576089 + 0.414320i 0.00258672 + 0.0186035i
\(497\) 1.25776 + 0.726166i 0.0564181 + 0.0325730i
\(498\) −1.22916 + 1.76833i −0.0550799 + 0.0792407i
\(499\) −5.27446 + 3.04521i −0.236117 + 0.136322i −0.613391 0.789779i \(-0.710195\pi\)
0.377274 + 0.926102i \(0.376862\pi\)
\(500\) −5.01984 7.45400i −0.224494 0.333353i
\(501\) −32.0558 + 4.62961i −1.43215 + 0.206836i
\(502\) 7.25900 + 23.7743i 0.323985 + 1.06110i
\(503\) 21.4710 0.957345 0.478673 0.877993i \(-0.341118\pi\)
0.478673 + 0.877993i \(0.341118\pi\)
\(504\) −3.26454 + 7.83216i −0.145414 + 0.348872i
\(505\) −41.9582 −1.86712
\(506\) 8.83644 + 28.9407i 0.392828 + 1.28657i
\(507\) −13.8621 17.6042i −0.615638 0.781830i
\(508\) 15.1751 + 22.5337i 0.673286 + 0.999769i
\(509\) −18.4897 + 10.6750i −0.819540 + 0.473161i −0.850258 0.526367i \(-0.823554\pi\)
0.0307180 + 0.999528i \(0.490221\pi\)
\(510\) 23.0709 + 49.0348i 1.02160 + 2.17130i
\(511\) 3.52324 + 2.03414i 0.155859 + 0.0899851i
\(512\) 10.3392 20.1271i 0.456930 0.889503i
\(513\) 5.65548 + 12.3219i 0.249696 + 0.544025i
\(514\) −11.1798 10.4330i −0.493119 0.460179i
\(515\) −17.4262 + 30.1830i −0.767890 + 1.33002i
\(516\) 8.79228 27.3454i 0.387058 1.20381i
\(517\) −0.588082 1.01859i −0.0258638 0.0447974i
\(518\) 1.00453 4.34382i 0.0441365 0.190856i
\(519\) 11.9240 9.38932i 0.523404 0.412145i
\(520\) 0.740072 + 1.93431i 0.0324543 + 0.0848253i
\(521\) 30.4799i 1.33535i 0.744453 + 0.667675i \(0.232710\pi\)
−0.744453 + 0.667675i \(0.767290\pi\)
\(522\) −22.6316 + 14.9313i −0.990557 + 0.653525i
\(523\) 28.4494i 1.24401i 0.783014 + 0.622004i \(0.213681\pi\)
−0.783014 + 0.622004i \(0.786319\pi\)
\(524\) −2.66130 1.30042i −0.116260 0.0568092i
\(525\) −0.855307 5.92221i −0.0373286 0.258467i
\(526\) 3.39905 + 0.786046i 0.148206 + 0.0342733i
\(527\) −0.397839 0.689078i −0.0173302 0.0300167i
\(528\) −15.7639 + 4.56013i −0.686035 + 0.198454i
\(529\) −29.3019 + 50.7524i −1.27400 + 2.20663i
\(530\) 6.69622 7.17553i 0.290865 0.311685i
\(531\) 5.62150 23.3007i 0.243952 1.01116i
\(532\) 0.360197 + 5.20595i 0.0156165 + 0.225706i
\(533\) 1.82367 + 1.05290i 0.0789921 + 0.0456061i
\(534\) −3.01052 + 35.8290i −0.130278 + 1.55047i
\(535\) 15.3693 8.87348i 0.664474 0.383634i
\(536\) −1.43233 0.228475i −0.0618671 0.00986861i
\(537\) −1.84917 + 4.62747i −0.0797975 + 0.199690i
\(538\) 25.2142 7.69865i 1.08706 0.331912i
\(539\) 2.36861 0.102023
\(540\) 0.731924 30.2087i 0.0314970 1.29998i
\(541\) 28.9747 1.24572 0.622861 0.782333i \(-0.285970\pi\)
0.622861 + 0.782333i \(0.285970\pi\)
\(542\) 16.1122 4.91954i 0.692080 0.211312i
\(543\) −3.10433 + 7.76848i −0.133220 + 0.333377i
\(544\) −3.82989 + 42.8699i −0.164205 + 1.83803i
\(545\) 15.7512 9.09393i 0.674705 0.389541i
\(546\) 0.0516481 0.614677i 0.00221034 0.0263057i
\(547\) −32.0274 18.4910i −1.36939 0.790619i −0.378541 0.925584i \(-0.623574\pi\)
−0.990850 + 0.134966i \(0.956908\pi\)
\(548\) −35.8764 + 2.48227i −1.53257 + 0.106037i
\(549\) −21.2693 + 6.27445i −0.907752 + 0.267787i
\(550\) 7.89529 8.46044i 0.336656 0.360754i
\(551\) −8.33725 + 14.4405i −0.355179 + 0.615188i
\(552\) −37.9953 22.6903i −1.61719 0.965761i
\(553\) −5.79482 10.0369i −0.246421 0.426813i
\(554\) 24.3335 + 5.62724i 1.03383 + 0.239078i
\(555\) 2.26952 + 15.7143i 0.0963357 + 0.667036i
\(556\) −7.31321 + 14.9664i −0.310149 + 0.634718i
\(557\) 4.29428i 0.181955i 0.995853 + 0.0909773i \(0.0289991\pi\)
−0.995853 + 0.0909773i \(0.971001\pi\)
\(558\) 0.0264294 + 0.442892i 0.00111884 + 0.0187491i
\(559\) 2.08812i 0.0883179i
\(560\) 4.37278 10.7774i 0.184784 0.455430i
\(561\) 24.5241 19.3111i 1.03541 0.815315i
\(562\) 6.09477 26.3552i 0.257092 1.11173i
\(563\) 2.78657 + 4.82649i 0.117440 + 0.203412i 0.918753 0.394834i \(-0.129198\pi\)
−0.801312 + 0.598246i \(0.795865\pi\)
\(564\) 1.63758 + 0.526527i 0.0689546 + 0.0221708i
\(565\) 26.6757 46.2037i 1.12225 1.94380i
\(566\) −3.35535 3.13122i −0.141036 0.131615i
\(567\) −4.10380 + 8.00992i −0.172343 + 0.336385i
\(568\) −3.18952 2.58864i −0.133829 0.108617i
\(569\) −5.72734 3.30668i −0.240103 0.138623i 0.375121 0.926976i \(-0.377601\pi\)
−0.615224 + 0.788352i \(0.710934\pi\)
\(570\) −7.91165 16.8154i −0.331383 0.704319i
\(571\) 28.7640 16.6069i 1.20374 0.694978i 0.242353 0.970188i \(-0.422081\pi\)
0.961384 + 0.275211i \(0.0887476\pi\)
\(572\) 0.989489 0.666363i 0.0413726 0.0278620i
\(573\) −21.9846 27.9193i −0.918420 1.16635i
\(574\) −3.45340 11.3104i −0.144142 0.472087i
\(575\) 31.2077 1.30145
\(576\) 12.6078 20.4217i 0.525324 0.850902i
\(577\) 27.6524 1.15119 0.575593 0.817736i \(-0.304771\pi\)
0.575593 + 0.817736i \(0.304771\pi\)
\(578\) −16.8870 55.3074i −0.702406 2.30049i
\(579\) −31.8817 + 4.60447i −1.32496 + 0.191355i
\(580\) 30.8257 20.7593i 1.27997 0.861984i
\(581\) −0.761398 + 0.439593i −0.0315881 + 0.0182374i
\(582\) 8.05468 11.5879i 0.333877 0.480333i
\(583\) −4.89594 2.82667i −0.202769 0.117069i
\(584\) −8.93452 7.25133i −0.369713 0.300062i
\(585\) 0.621543 + 2.10692i 0.0256976 + 0.0871106i
\(586\) 13.2872 + 12.3996i 0.548890 + 0.512225i
\(587\) −12.0238 + 20.8258i −0.496274 + 0.859571i −0.999991 0.00429733i \(-0.998632\pi\)
0.503717 + 0.863869i \(0.331965\pi\)
\(588\) −2.56720 + 2.32583i −0.105869 + 0.0959157i
\(589\) 0.136430 + 0.236304i 0.00562151 + 0.00973674i
\(590\) −7.40241 + 32.0098i −0.304753 + 1.31782i
\(591\) −27.7483 11.0884i −1.14141 0.456116i
\(592\) −4.74110 + 11.6852i −0.194858 + 0.480260i
\(593\) 7.02971i 0.288675i 0.989528 + 0.144338i \(0.0461052\pi\)
−0.989528 + 0.144338i \(0.953895\pi\)
\(594\) −17.0481 + 3.50973i −0.699492 + 0.144006i
\(595\) 22.1234i 0.906972i
\(596\) 2.90738 5.94992i 0.119091 0.243718i
\(597\) 1.88535 + 0.753396i 0.0771621 + 0.0308345i
\(598\) 3.13441 + 0.724848i 0.128176 + 0.0296412i
\(599\) 14.7689 + 25.5804i 0.603439 + 1.04519i 0.992296 + 0.123889i \(0.0395366\pi\)
−0.388857 + 0.921298i \(0.627130\pi\)
\(600\) −0.249601 + 16.9225i −0.0101899 + 0.690858i
\(601\) −11.2326 + 19.4555i −0.458188 + 0.793605i −0.998865 0.0476250i \(-0.984835\pi\)
0.540677 + 0.841230i \(0.318168\pi\)
\(602\) 8.00064 8.57333i 0.326082 0.349423i
\(603\) −1.49551 0.360806i −0.0609019 0.0146931i
\(604\) −12.4240 + 0.859610i −0.505526 + 0.0349770i
\(605\) 13.5720 + 7.83579i 0.551780 + 0.318570i
\(606\) −29.0236 20.1741i −1.17900 0.819518i
\(607\) 31.5236 18.2002i 1.27950 0.738722i 0.302748 0.953071i \(-0.402096\pi\)
0.976757 + 0.214348i \(0.0687628\pi\)
\(608\) 1.31338 14.7013i 0.0532645 0.596216i
\(609\) −10.9553 + 1.58220i −0.443931 + 0.0641141i
\(610\) 29.0710 8.87624i 1.17705 0.359388i
\(611\) −0.125047 −0.00505886
\(612\) −7.61794 + 45.0114i −0.307937 + 1.81948i
\(613\) 12.8571 0.519293 0.259646 0.965704i \(-0.416394\pi\)
0.259646 + 0.965704i \(0.416394\pi\)
\(614\) 23.9428 7.31043i 0.966251 0.295025i
\(615\) 26.0541 + 33.0874i 1.05060 + 1.33421i
\(616\) −6.61580 1.05531i −0.266558 0.0425195i
\(617\) −37.5894 + 21.7022i −1.51329 + 0.873699i −0.513412 + 0.858142i \(0.671619\pi\)
−0.999879 + 0.0155564i \(0.995048\pi\)
\(618\) −26.5666 + 12.4996i −1.06867 + 0.502808i
\(619\) −0.893596 0.515918i −0.0359167 0.0207365i 0.481934 0.876207i \(-0.339934\pi\)
−0.517851 + 0.855471i \(0.673268\pi\)
\(620\) −0.0419773 0.606701i −0.00168585 0.0243657i
\(621\) −38.2872 27.1549i −1.53641 1.08969i
\(622\) −6.37480 + 6.83111i −0.255606 + 0.273903i
\(623\) −7.33933 + 12.7121i −0.294044 + 0.509299i
\(624\) −0.418121 + 1.69385i −0.0167382 + 0.0678084i
\(625\) 15.1693 + 26.2740i 0.606772 + 1.05096i
\(626\) 14.7186 + 3.40374i 0.588274 + 0.136041i
\(627\) −8.41001 + 6.62231i −0.335863 + 0.264470i
\(628\) −5.35172 2.61507i −0.213557 0.104353i
\(629\) 23.9869i 0.956420i
\(630\) 5.52079 11.0320i 0.219953 0.439525i
\(631\) 25.4447i 1.01294i −0.862258 0.506469i \(-0.830951\pi\)
0.862258 0.506469i \(-0.169049\pi\)
\(632\) 11.7138 + 30.6161i 0.465949 + 1.21784i
\(633\) 2.51904 + 17.4421i 0.100123 + 0.693260i
\(634\) 8.13387 35.1728i 0.323037 1.39689i
\(635\) −19.7483 34.2051i −0.783689 1.35739i
\(636\) 8.08205 1.74386i 0.320474 0.0691484i
\(637\) 0.125913 0.218087i 0.00498884 0.00864092i
\(638\) −15.6507 14.6052i −0.619616 0.578227i
\(639\) −3.15710 3.00268i −0.124893 0.118784i
\(640\) −17.0155 + 28.1544i −0.672595 + 1.11290i
\(641\) −24.3065 14.0334i −0.960049 0.554284i −0.0638607 0.997959i \(-0.520341\pi\)
−0.896188 + 0.443674i \(0.853675\pi\)
\(642\) 14.8979 + 1.25179i 0.587972 + 0.0494042i
\(643\) 11.1062 6.41216i 0.437985 0.252871i −0.264757 0.964315i \(-0.585292\pi\)
0.702743 + 0.711444i \(0.251959\pi\)
\(644\) −10.0919 14.9856i −0.397678 0.590516i
\(645\) −15.4963 + 38.7788i −0.610164 + 1.52691i
\(646\) 8.19860 + 26.8516i 0.322570 + 1.05646i
\(647\) −39.1711 −1.53998 −0.769988 0.638058i \(-0.779738\pi\)
−0.769988 + 0.638058i \(0.779738\pi\)
\(648\) 15.0311 20.5442i 0.590478 0.807054i
\(649\) 18.9246 0.742854
\(650\) −0.359281 1.17670i −0.0140921 0.0461539i
\(651\) −0.0672135 + 0.168199i −0.00263431 + 0.00659225i
\(652\) −9.26507 13.7578i −0.362848 0.538797i
\(653\) 5.09574 2.94203i 0.199412 0.115130i −0.396969 0.917832i \(-0.629938\pi\)
0.596381 + 0.802701i \(0.296605\pi\)
\(654\) 15.2680 + 1.28289i 0.597025 + 0.0501649i
\(655\) 3.72940 + 2.15317i 0.145720 + 0.0841313i
\(656\) 4.60652 + 33.1298i 0.179855 + 1.29350i
\(657\) −8.84371 8.41114i −0.345026 0.328150i
\(658\) 0.513415 + 0.479119i 0.0200150 + 0.0186780i
\(659\) −12.9730 + 22.4699i −0.505357 + 0.875304i 0.494624 + 0.869107i \(0.335306\pi\)
−0.999981 + 0.00619658i \(0.998028\pi\)
\(660\) 23.3212 5.03199i 0.907776 0.195870i
\(661\) −19.8403 34.3644i −0.771699 1.33662i −0.936631 0.350316i \(-0.886074\pi\)
0.164933 0.986305i \(-0.447259\pi\)
\(662\) 8.49620 36.7396i 0.330214 1.42792i
\(663\) −0.474372 3.28459i −0.0184231 0.127563i
\(664\) 2.32253 0.888603i 0.0901316 0.0344845i
\(665\) 7.58674i 0.294201i
\(666\) −5.98580 + 11.9612i −0.231945 + 0.463488i
\(667\) 57.7300i 2.23531i
\(668\) 33.6018 + 16.4192i 1.30009 + 0.635279i
\(669\) 8.29767 6.53386i 0.320807 0.252613i
\(670\) 2.05449 + 0.475110i 0.0793718 + 0.0183551i
\(671\) −8.75417 15.1627i −0.337951 0.585349i
\(672\) 8.20673 5.35254i 0.316581 0.206479i
\(673\) 5.16943 8.95371i 0.199267 0.345140i −0.749024 0.662543i \(-0.769477\pi\)
0.948291 + 0.317403i \(0.102811\pi\)
\(674\) −6.12032 + 6.55842i −0.235746 + 0.252621i
\(675\) −1.67246 + 17.8729i −0.0643730 + 0.687928i
\(676\) 1.78588 + 25.8115i 0.0686877 + 0.992748i
\(677\) −4.67459 2.69887i −0.179659 0.103726i 0.407473 0.913217i \(-0.366410\pi\)
−0.587132 + 0.809491i \(0.699743\pi\)
\(678\) 40.6677 19.1342i 1.56183 0.734843i
\(679\) 4.98945 2.88066i 0.191478 0.110550i
\(680\) 9.85683 61.7933i 0.377992 2.36966i
\(681\) 23.9128 + 30.3680i 0.916339 + 1.16371i
\(682\) −0.335032 + 0.102295i −0.0128291 + 0.00391709i
\(683\) 39.2840 1.50316 0.751581 0.659641i \(-0.229292\pi\)
0.751581 + 0.659641i \(0.229292\pi\)
\(684\) 2.61241 15.4357i 0.0998878 0.590198i
\(685\) 52.2835 1.99765
\(686\) −1.35257 + 0.412980i −0.0516414 + 0.0157676i
\(687\) −9.28772 + 1.34137i −0.354349 + 0.0511763i
\(688\) −26.1665 + 20.3817i −0.997587 + 0.777045i
\(689\) −0.520525 + 0.300525i −0.0198304 + 0.0114491i
\(690\) 52.8306 + 36.7223i 2.01123 + 1.39799i
\(691\) −15.8640 9.15909i −0.603495 0.348428i 0.166920 0.985970i \(-0.446618\pi\)
−0.770415 + 0.637542i \(0.779951\pi\)
\(692\) −17.4831 + 1.20964i −0.664606 + 0.0459837i
\(693\) −6.90763 1.66653i −0.262399 0.0633062i
\(694\) −4.05490 + 4.34515i −0.153922 + 0.164940i
\(695\) 12.1088 20.9731i 0.459314 0.795555i
\(696\) 31.3043 + 0.461728i 1.18659 + 0.0175018i
\(697\) −31.8120 55.1001i −1.20497 2.08706i
\(698\) −48.7475 11.2731i −1.84512 0.426693i
\(699\) −9.78205 3.90897i −0.369991 0.147851i
\(700\) −3.03341 + 6.20784i −0.114652 + 0.234634i
\(701\) 14.7290i 0.556306i 0.960537 + 0.278153i \(0.0897222\pi\)
−0.960537 + 0.278153i \(0.910278\pi\)
\(702\) −0.583104 + 1.75626i −0.0220078 + 0.0662857i
\(703\) 8.22577i 0.310241i
\(704\) 18.0085 + 5.89518i 0.678721 + 0.222183i
\(705\) −2.32227 0.927995i −0.0874619 0.0349503i
\(706\) −9.54362 + 41.2689i −0.359179 + 1.55317i
\(707\) −7.21504 12.4968i −0.271349 0.469991i
\(708\) −20.5112 + 18.5828i −0.770859 + 0.698384i
\(709\) −0.246081 + 0.426224i −0.00924175 + 0.0160072i −0.870609 0.491975i \(-0.836275\pi\)
0.861368 + 0.507982i \(0.169608\pi\)
\(710\) 4.36624 + 4.07458i 0.163862 + 0.152916i
\(711\) 9.83770 + 33.3481i 0.368943 + 1.25065i
\(712\) 26.1633 32.2364i 0.980512 1.20811i
\(713\) −0.818125 0.472345i −0.0306390 0.0176894i
\(714\) −10.6373 + 15.3033i −0.398090 + 0.572713i
\(715\) −1.50200 + 0.867182i −0.0561718 + 0.0324308i
\(716\) 4.77279 3.21419i 0.178368 0.120120i
\(717\) −15.7339 + 2.27234i −0.587592 + 0.0848621i
\(718\) 2.26351 + 7.41334i 0.0844736 + 0.276664i
\(719\) −7.89549 −0.294452 −0.147226 0.989103i \(-0.547034\pi\)
−0.147226 + 0.989103i \(0.547034\pi\)
\(720\) −20.3354 + 28.3539i −0.757855 + 1.05669i
\(721\) −11.9863 −0.446392
\(722\) 5.03509 + 16.4907i 0.187387 + 0.613719i
\(723\) 9.85892 + 12.5203i 0.366657 + 0.465636i
\(724\) 8.01243 5.39590i 0.297780 0.200537i
\(725\) −19.1198 + 11.0388i −0.710091 + 0.409971i
\(726\) 5.62052 + 11.9458i 0.208597 + 0.443351i
\(727\) 9.22490 + 5.32600i 0.342133 + 0.197530i 0.661215 0.750197i \(-0.270041\pi\)
−0.319082 + 0.947727i \(0.603375\pi\)
\(728\) −0.448854 + 0.553043i −0.0166357 + 0.0204971i
\(729\) 17.6037 20.4721i 0.651990 0.758228i
\(730\) 12.2308 + 11.4138i 0.452681 + 0.422442i
\(731\) 31.5449 54.6374i 1.16673 2.02084i
\(732\) 24.3770 + 7.83787i 0.901000 + 0.289696i
\(733\) 26.0962 + 45.1999i 0.963885 + 1.66950i 0.712581 + 0.701590i \(0.247526\pi\)
0.251304 + 0.967908i \(0.419141\pi\)
\(734\) 5.42191 23.4456i 0.200126 0.865394i
\(735\) 3.95681 3.11572i 0.145949 0.114925i
\(736\) 21.5113 + 46.3529i 0.792916 + 1.70859i
\(737\) 1.21464i 0.0447417i
\(738\) 2.11335 + 35.4146i 0.0777934 + 1.30363i
\(739\) 34.1328i 1.25560i 0.778376 + 0.627798i \(0.216044\pi\)
−0.778376 + 0.627798i \(0.783956\pi\)
\(740\) 8.04901 16.4722i 0.295888 0.605531i
\(741\) 0.162675 + 1.12638i 0.00597603 + 0.0413785i
\(742\) 3.28862 + 0.760510i 0.120729 + 0.0279192i
\(743\) 7.11347 + 12.3209i 0.260968 + 0.452009i 0.966499 0.256669i \(-0.0826250\pi\)
−0.705532 + 0.708678i \(0.749292\pi\)
\(744\) 0.262674 0.439854i 0.00963011 0.0161258i
\(745\) −4.81387 + 8.33787i −0.176367 + 0.305476i
\(746\) 1.10047 1.17924i 0.0402911 0.0431751i
\(747\) 2.52978 0.746285i 0.0925598 0.0273052i
\(748\) −35.9576 + 2.48788i −1.31474 + 0.0909660i
\(749\) 5.28575 + 3.05173i 0.193137 + 0.111508i
\(750\) −0.921566 + 10.9678i −0.0336508 + 0.400487i
\(751\) 27.8733 16.0926i 1.01711 0.587228i 0.103844 0.994594i \(-0.466886\pi\)
0.913265 + 0.407365i \(0.133552\pi\)
\(752\) −1.22056 1.56698i −0.0445093 0.0571419i
\(753\) 11.2972 28.2708i 0.411693 1.03025i
\(754\) −2.17673 + 0.664621i −0.0792719 + 0.0242041i
\(755\) 18.1058 0.658936
\(756\) 9.12322 4.97663i 0.331808 0.180998i
\(757\) −33.8024 −1.22857 −0.614284 0.789085i \(-0.710555\pi\)
−0.614284 + 0.789085i \(0.710555\pi\)
\(758\) −35.9048 + 10.9628i −1.30412 + 0.398187i
\(759\) 13.7522 34.4143i 0.499172 1.24916i
\(760\) −3.38018 + 21.1906i −0.122612 + 0.768665i
\(761\) 7.39633 4.27027i 0.268117 0.154797i −0.359915 0.932985i \(-0.617194\pi\)
0.628031 + 0.778188i \(0.283861\pi\)
\(762\) 2.78592 33.1559i 0.100923 1.20111i
\(763\) 5.41707 + 3.12754i 0.196111 + 0.113225i
\(764\) 2.83232 + 40.9357i 0.102470 + 1.48100i
\(765\) 15.5658 64.5191i 0.562784 2.33269i
\(766\) −33.4371 + 35.8305i −1.20813 + 1.29461i
\(767\) 1.00601 1.74246i 0.0363249 0.0629165i
\(768\) −25.3071 + 11.2938i −0.913191 + 0.407531i
\(769\) −13.0938 22.6792i −0.472176 0.817833i 0.527317 0.849669i \(-0.323198\pi\)
−0.999493 + 0.0318354i \(0.989865\pi\)
\(770\) 9.48950 + 2.19449i 0.341978 + 0.0790840i
\(771\) 2.67704 + 18.5360i 0.0964113 + 0.667559i
\(772\) 33.4194 + 16.3301i 1.20279 + 0.587732i
\(773\) 3.16655i 0.113893i 0.998377 + 0.0569464i \(0.0181364\pi\)