Properties

Label 273.2.r.b.68.4
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [273,2,Mod(68,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.68");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.4
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.29

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q-2.39579i q^{2} +(0.452516 + 1.67189i) q^{3} -3.73983 q^{4} +(-1.50632 + 2.60901i) q^{5} +(4.00551 - 1.08414i) q^{6} +(2.64172 - 0.145950i) q^{7} +4.16828i q^{8} +(-2.59046 + 1.51312i) q^{9} +O(q^{10})\) \(q-2.39579i q^{2} +(0.452516 + 1.67189i) q^{3} -3.73983 q^{4} +(-1.50632 + 2.60901i) q^{5} +(4.00551 - 1.08414i) q^{6} +(2.64172 - 0.145950i) q^{7} +4.16828i q^{8} +(-2.59046 + 1.51312i) q^{9} +(6.25066 + 3.60882i) q^{10} +(2.03299 + 1.17375i) q^{11} +(-1.69233 - 6.25260i) q^{12} +(1.38026 + 3.33090i) q^{13} +(-0.349666 - 6.32902i) q^{14} +(-5.04363 - 1.33778i) q^{15} +2.50668 q^{16} +7.57477 q^{17} +(3.62512 + 6.20621i) q^{18} +(-0.990209 + 0.571698i) q^{19} +(5.63336 - 9.75727i) q^{20} +(1.43944 + 4.35064i) q^{21} +(2.81206 - 4.87063i) q^{22} -2.98207i q^{23} +(-6.96892 + 1.88621i) q^{24} +(-2.03797 - 3.52987i) q^{25} +(7.98015 - 3.30681i) q^{26} +(-3.70200 - 3.64626i) q^{27} +(-9.87960 + 0.545828i) q^{28} +(-3.46295 + 1.99933i) q^{29} +(-3.20504 + 12.0835i) q^{30} +(-6.93264 + 4.00256i) q^{31} +2.33108i q^{32} +(-1.04242 + 3.93009i) q^{33} -18.1476i q^{34} +(-3.59848 + 7.11214i) q^{35} +(9.68788 - 5.65881i) q^{36} -4.43428 q^{37} +(1.36967 + 2.37234i) q^{38} +(-4.94432 + 3.81493i) q^{39} +(-10.8751 - 6.27874i) q^{40} +(-2.44169 - 4.22913i) q^{41} +(10.4232 - 3.44859i) q^{42} +(1.21160 - 2.09856i) q^{43} +(-7.60305 - 4.38962i) q^{44} +(-0.0457018 - 9.03778i) q^{45} -7.14444 q^{46} +(5.09681 - 8.82793i) q^{47} +(1.13431 + 4.19090i) q^{48} +(6.95740 - 0.771118i) q^{49} +(-8.45684 + 4.88256i) q^{50} +(3.42771 + 12.6642i) q^{51} +(-5.16193 - 12.4570i) q^{52} +(3.05667 - 1.76477i) q^{53} +(-8.73569 + 8.86923i) q^{54} +(-6.12466 + 3.53607i) q^{55} +(0.608360 + 11.0114i) q^{56} +(-1.40390 - 1.39682i) q^{57} +(4.78999 + 8.29651i) q^{58} -0.573777 q^{59} +(18.8623 + 5.00306i) q^{60} +(7.66197 - 4.42364i) q^{61} +(9.58931 + 16.6092i) q^{62} +(-6.62243 + 4.37532i) q^{63} +10.5981 q^{64} +(-10.7695 - 1.41628i) q^{65} +(9.41569 + 2.49743i) q^{66} +(1.13672 - 1.96886i) q^{67} -28.3284 q^{68} +(4.98571 - 1.34944i) q^{69} +(17.0392 + 8.62122i) q^{70} +(-1.96371 - 1.13375i) q^{71} +(-6.30710 - 10.7978i) q^{72} +(0.346827 - 0.200241i) q^{73} +10.6236i q^{74} +(4.97935 - 5.00459i) q^{75} +(3.70322 - 2.13805i) q^{76} +(5.54191 + 2.80400i) q^{77} +(9.13978 + 11.8456i) q^{78} +(6.63110 - 11.4854i) q^{79} +(-3.77584 + 6.53995i) q^{80} +(4.42094 - 7.83934i) q^{81} +(-10.1321 + 5.84978i) q^{82} +9.96949 q^{83} +(-5.38325 - 16.2706i) q^{84} +(-11.4100 + 19.7627i) q^{85} +(-5.02771 - 2.90275i) q^{86} +(-4.90971 - 4.88495i) q^{87} +(-4.89251 + 8.47408i) q^{88} -2.75244 q^{89} +(-21.6527 + 0.109492i) q^{90} +(4.13240 + 8.59786i) q^{91} +11.1525i q^{92} +(-9.82899 - 9.77941i) q^{93} +(-21.1499 - 12.2109i) q^{94} -3.44463i q^{95} +(-3.89731 + 1.05485i) q^{96} +(-7.47021 - 4.31293i) q^{97} +(-1.84744 - 16.6685i) q^{98} +(-7.04240 + 0.0356117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.39579i 1.69408i −0.531527 0.847041i \(-0.678382\pi\)
0.531527 0.847041i \(-0.321618\pi\)
\(3\) 0.452516 + 1.67189i 0.261260 + 0.965268i
\(4\) −3.73983 −1.86992
\(5\) −1.50632 + 2.60901i −0.673645 + 1.16679i 0.303218 + 0.952921i \(0.401939\pi\)
−0.976863 + 0.213866i \(0.931395\pi\)
\(6\) 4.00551 1.08414i 1.63524 0.442597i
\(7\) 2.64172 0.145950i 0.998477 0.0551639i
\(8\) 4.16828i 1.47371i
\(9\) −2.59046 + 1.51312i −0.863486 + 0.504373i
\(10\) 6.25066 + 3.60882i 1.97663 + 1.14121i
\(11\) 2.03299 + 1.17375i 0.612970 + 0.353899i 0.774127 0.633030i \(-0.218189\pi\)
−0.161157 + 0.986929i \(0.551522\pi\)
\(12\) −1.69233 6.25260i −0.488535 1.80497i
\(13\) 1.38026 + 3.33090i 0.382814 + 0.923825i
\(14\) −0.349666 6.32902i −0.0934521 1.69150i
\(15\) −5.04363 1.33778i −1.30226 0.345413i
\(16\) 2.50668 0.626669
\(17\) 7.57477 1.83715 0.918575 0.395246i \(-0.129341\pi\)
0.918575 + 0.395246i \(0.129341\pi\)
\(18\) 3.62512 + 6.20621i 0.854449 + 1.46282i
\(19\) −0.990209 + 0.571698i −0.227170 + 0.131156i −0.609266 0.792966i \(-0.708536\pi\)
0.382096 + 0.924123i \(0.375202\pi\)
\(20\) 5.63336 9.75727i 1.25966 2.18179i
\(21\) 1.43944 + 4.35064i 0.314111 + 0.949386i
\(22\) 2.81206 4.87063i 0.599534 1.03842i
\(23\) 2.98207i 0.621806i −0.950442 0.310903i \(-0.899369\pi\)
0.950442 0.310903i \(-0.100631\pi\)
\(24\) −6.96892 + 1.88621i −1.42252 + 0.385022i
\(25\) −2.03797 3.52987i −0.407594 0.705974i
\(26\) 7.98015 3.30681i 1.56504 0.648519i
\(27\) −3.70200 3.64626i −0.712450 0.701723i
\(28\) −9.87960 + 0.545828i −1.86707 + 0.103152i
\(29\) −3.46295 + 1.99933i −0.643053 + 0.371267i −0.785790 0.618494i \(-0.787743\pi\)
0.142737 + 0.989761i \(0.454410\pi\)
\(30\) −3.20504 + 12.0835i −0.585158 + 2.20613i
\(31\) −6.93264 + 4.00256i −1.24514 + 0.718881i −0.970136 0.242562i \(-0.922012\pi\)
−0.275003 + 0.961443i \(0.588679\pi\)
\(32\) 2.33108i 0.412080i
\(33\) −1.04242 + 3.93009i −0.181462 + 0.684141i
\(34\) 18.1476i 3.11229i
\(35\) −3.59848 + 7.11214i −0.608254 + 1.20217i
\(36\) 9.68788 5.65881i 1.61465 0.943135i
\(37\) −4.43428 −0.728991 −0.364495 0.931205i \(-0.618758\pi\)
−0.364495 + 0.931205i \(0.618758\pi\)
\(38\) 1.36967 + 2.37234i 0.222190 + 0.384844i
\(39\) −4.94432 + 3.81493i −0.791725 + 0.610877i
\(40\) −10.8751 6.27874i −1.71950 0.992756i
\(41\) −2.44169 4.22913i −0.381327 0.660478i 0.609925 0.792459i \(-0.291200\pi\)
−0.991252 + 0.131981i \(0.957866\pi\)
\(42\) 10.4232 3.44859i 1.60834 0.532129i
\(43\) 1.21160 2.09856i 0.184768 0.320027i −0.758731 0.651405i \(-0.774180\pi\)
0.943498 + 0.331378i \(0.107513\pi\)
\(44\) −7.60305 4.38962i −1.14620 0.661761i
\(45\) −0.0457018 9.03778i −0.00681282 1.34727i
\(46\) −7.14444 −1.05339
\(47\) 5.09681 8.82793i 0.743445 1.28769i −0.207472 0.978241i \(-0.566524\pi\)
0.950918 0.309444i \(-0.100143\pi\)
\(48\) 1.13431 + 4.19090i 0.163724 + 0.604904i
\(49\) 6.95740 0.771118i 0.993914 0.110160i
\(50\) −8.45684 + 4.88256i −1.19598 + 0.690498i
\(51\) 3.42771 + 12.6642i 0.479975 + 1.77334i
\(52\) −5.16193 12.4570i −0.715830 1.72748i
\(53\) 3.05667 1.76477i 0.419866 0.242410i −0.275154 0.961400i \(-0.588729\pi\)
0.695020 + 0.718990i \(0.255396\pi\)
\(54\) −8.73569 + 8.86923i −1.18878 + 1.20695i
\(55\) −6.12466 + 3.53607i −0.825849 + 0.476804i
\(56\) 0.608360 + 11.0114i 0.0812955 + 1.47146i
\(57\) −1.40390 1.39682i −0.185952 0.185014i
\(58\) 4.78999 + 8.29651i 0.628956 + 1.08938i
\(59\) −0.573777 −0.0746994 −0.0373497 0.999302i \(-0.511892\pi\)
−0.0373497 + 0.999302i \(0.511892\pi\)
\(60\) 18.8623 + 5.00306i 2.43511 + 0.645893i
\(61\) 7.66197 4.42364i 0.981015 0.566389i 0.0784387 0.996919i \(-0.475006\pi\)
0.902576 + 0.430530i \(0.141673\pi\)
\(62\) 9.58931 + 16.6092i 1.21784 + 2.10937i
\(63\) −6.62243 + 4.37532i −0.834348 + 0.551238i
\(64\) 10.5981 1.32477
\(65\) −10.7695 1.41628i −1.33579 0.175667i
\(66\) 9.41569 + 2.49743i 1.15899 + 0.307412i
\(67\) 1.13672 1.96886i 0.138873 0.240535i −0.788197 0.615422i \(-0.788985\pi\)
0.927070 + 0.374888i \(0.122319\pi\)
\(68\) −28.3284 −3.43532
\(69\) 4.98571 1.34944i 0.600209 0.162453i
\(70\) 17.0392 + 8.62122i 2.03658 + 1.03043i
\(71\) −1.96371 1.13375i −0.233050 0.134551i 0.378929 0.925426i \(-0.376293\pi\)
−0.611978 + 0.790875i \(0.709626\pi\)
\(72\) −6.30710 10.7978i −0.743299 1.27253i
\(73\) 0.346827 0.200241i 0.0405930 0.0234364i −0.479566 0.877506i \(-0.659206\pi\)
0.520159 + 0.854069i \(0.325873\pi\)
\(74\) 10.6236i 1.23497i
\(75\) 4.97935 5.00459i 0.574966 0.577881i
\(76\) 3.70322 2.13805i 0.424788 0.245251i
\(77\) 5.54191 + 2.80400i 0.631560 + 0.319546i
\(78\) 9.13978 + 11.8456i 1.03488 + 1.34125i
\(79\) 6.63110 11.4854i 0.746057 1.29221i −0.203642 0.979045i \(-0.565278\pi\)
0.949699 0.313163i \(-0.101389\pi\)
\(80\) −3.77584 + 6.53995i −0.422152 + 0.731189i
\(81\) 4.42094 7.83934i 0.491216 0.871038i
\(82\) −10.1321 + 5.84978i −1.11891 + 0.646000i
\(83\) 9.96949 1.09429 0.547147 0.837037i \(-0.315714\pi\)
0.547147 + 0.837037i \(0.315714\pi\)
\(84\) −5.38325 16.2706i −0.587360 1.77527i
\(85\) −11.4100 + 19.7627i −1.23759 + 2.14356i
\(86\) −5.02771 2.90275i −0.542152 0.313012i
\(87\) −4.90971 4.88495i −0.526376 0.523721i
\(88\) −4.89251 + 8.47408i −0.521544 + 0.903340i
\(89\) −2.75244 −0.291758 −0.145879 0.989302i \(-0.546601\pi\)
−0.145879 + 0.989302i \(0.546601\pi\)
\(90\) −21.6527 + 0.109492i −2.28239 + 0.0115415i
\(91\) 4.13240 + 8.59786i 0.433193 + 0.901301i
\(92\) 11.1525i 1.16272i
\(93\) −9.82899 9.77941i −1.01922 1.01408i
\(94\) −21.1499 12.2109i −2.18145 1.25946i
\(95\) 3.44463i 0.353411i
\(96\) −3.89731 + 1.05485i −0.397768 + 0.107660i
\(97\) −7.47021 4.31293i −0.758484 0.437911i 0.0702669 0.997528i \(-0.477615\pi\)
−0.828751 + 0.559617i \(0.810948\pi\)
\(98\) −1.84744 16.6685i −0.186620 1.68377i
\(99\) −7.04240 + 0.0356117i −0.707788 + 0.00357911i
\(100\) 7.62167 + 13.2011i 0.762167 + 1.32011i
\(101\) −7.46597 + 12.9314i −0.742891 + 1.28673i 0.208282 + 0.978069i \(0.433213\pi\)
−0.951173 + 0.308657i \(0.900120\pi\)
\(102\) 30.3408 8.21208i 3.00419 0.813117i
\(103\) 8.34410 + 4.81747i 0.822169 + 0.474679i 0.851164 0.524900i \(-0.175897\pi\)
−0.0289949 + 0.999580i \(0.509231\pi\)
\(104\) −13.8841 + 5.75329i −1.36145 + 0.564157i
\(105\) −13.5191 2.79792i −1.31933 0.273049i
\(106\) −4.22803 7.32316i −0.410662 0.711288i
\(107\) 0.881311i 0.0851996i 0.999092 + 0.0425998i \(0.0135640\pi\)
−0.999092 + 0.0425998i \(0.986436\pi\)
\(108\) 13.8448 + 13.6364i 1.33222 + 1.31216i
\(109\) −5.12018 8.86840i −0.490424 0.849439i 0.509515 0.860462i \(-0.329825\pi\)
−0.999939 + 0.0110224i \(0.996491\pi\)
\(110\) 8.47170 + 14.6734i 0.807745 + 1.39906i
\(111\) −2.00658 7.41364i −0.190456 0.703672i
\(112\) 6.62194 0.365849i 0.625715 0.0345695i
\(113\) 2.35913 + 1.36205i 0.221929 + 0.128131i 0.606843 0.794822i \(-0.292436\pi\)
−0.384914 + 0.922952i \(0.625769\pi\)
\(114\) −3.34650 + 3.36346i −0.313428 + 0.315017i
\(115\) 7.78028 + 4.49194i 0.725514 + 0.418876i
\(116\) 12.9508 7.47717i 1.20245 0.694237i
\(117\) −8.61554 6.54006i −0.796507 0.604629i
\(118\) 1.37465i 0.126547i
\(119\) 20.0104 1.10554i 1.83435 0.101344i
\(120\) 5.57623 21.0232i 0.509038 1.91915i
\(121\) −2.74463 4.75383i −0.249511 0.432167i
\(122\) −10.5981 18.3565i −0.959510 1.66192i
\(123\) 5.96575 5.99599i 0.537913 0.540640i
\(124\) 25.9269 14.9689i 2.32830 1.34425i
\(125\) −2.78385 −0.248995
\(126\) 10.4824 + 15.8660i 0.933843 + 1.41345i
\(127\) −2.28093 3.95069i −0.202400 0.350567i 0.746901 0.664935i \(-0.231541\pi\)
−0.949301 + 0.314368i \(0.898207\pi\)
\(128\) 20.7288i 1.83218i
\(129\) 4.05683 + 1.07604i 0.357184 + 0.0947400i
\(130\) −3.39311 + 25.8014i −0.297595 + 2.26293i
\(131\) 3.29835 5.71291i 0.288178 0.499139i −0.685197 0.728358i \(-0.740284\pi\)
0.973375 + 0.229219i \(0.0736172\pi\)
\(132\) 3.89848 14.6979i 0.339319 1.27929i
\(133\) −2.53242 + 1.65479i −0.219589 + 0.143488i
\(134\) −4.71699 2.72335i −0.407486 0.235262i
\(135\) 15.0895 4.16615i 1.29870 0.358565i
\(136\) 31.5737i 2.70743i
\(137\) 3.02636i 0.258559i −0.991608 0.129280i \(-0.958734\pi\)
0.991608 0.129280i \(-0.0412665\pi\)
\(138\) −3.23297 11.9447i −0.275209 1.01680i
\(139\) 13.5658 + 7.83223i 1.15064 + 0.664321i 0.949042 0.315148i \(-0.102054\pi\)
0.201595 + 0.979469i \(0.435388\pi\)
\(140\) 13.4577 26.5982i 1.13738 2.24796i
\(141\) 17.0657 + 4.52654i 1.43719 + 0.381203i
\(142\) −2.71623 + 4.70465i −0.227941 + 0.394805i
\(143\) −1.10359 + 8.39177i −0.0922867 + 0.701755i
\(144\) −6.49344 + 3.79290i −0.541120 + 0.316075i
\(145\) 12.0465i 1.00041i
\(146\) −0.479735 0.830926i −0.0397032 0.0687679i
\(147\) 4.43756 + 11.2831i 0.366004 + 0.930613i
\(148\) 16.5834 1.36315
\(149\) 6.10792 3.52641i 0.500380 0.288895i −0.228490 0.973546i \(-0.573379\pi\)
0.728871 + 0.684652i \(0.240046\pi\)
\(150\) −11.9900 11.9295i −0.978978 0.974040i
\(151\) 3.71789 + 6.43958i 0.302558 + 0.524046i 0.976715 0.214543i \(-0.0688261\pi\)
−0.674157 + 0.738588i \(0.735493\pi\)
\(152\) −2.38299 4.12747i −0.193286 0.334782i
\(153\) −19.6221 + 11.4615i −1.58635 + 0.926609i
\(154\) 6.71782 13.2773i 0.541337 1.06991i
\(155\) 24.1165i 1.93708i
\(156\) 18.4909 14.2672i 1.48046 1.14229i
\(157\) −17.9506 + 10.3638i −1.43261 + 0.827120i −0.997320 0.0731686i \(-0.976689\pi\)
−0.435294 + 0.900288i \(0.643356\pi\)
\(158\) −27.5167 15.8867i −2.18911 1.26388i
\(159\) 4.33370 + 4.31184i 0.343685 + 0.341951i
\(160\) −6.08181 3.51134i −0.480809 0.277595i
\(161\) −0.435233 7.87781i −0.0343012 0.620859i
\(162\) −18.7814 10.5917i −1.47561 0.832161i
\(163\) −1.58512 2.74550i −0.124156 0.215044i 0.797247 0.603653i \(-0.206289\pi\)
−0.921403 + 0.388609i \(0.872956\pi\)
\(164\) 9.13150 + 15.8162i 0.713050 + 1.23504i
\(165\) −8.68344 8.63965i −0.676005 0.672595i
\(166\) 23.8848i 1.85382i
\(167\) −2.15047 3.72473i −0.166409 0.288228i 0.770746 0.637142i \(-0.219884\pi\)
−0.937155 + 0.348914i \(0.886550\pi\)
\(168\) −18.1347 + 5.99997i −1.39912 + 0.462908i
\(169\) −9.18978 + 9.19499i −0.706907 + 0.707307i
\(170\) 47.3473 + 27.3360i 3.63137 + 2.09657i
\(171\) 1.70005 2.97926i 0.130006 0.227830i
\(172\) −4.53119 + 7.84825i −0.345500 + 0.598423i
\(173\) 9.80920 + 16.9900i 0.745780 + 1.29173i 0.949829 + 0.312768i \(0.101256\pi\)
−0.204050 + 0.978961i \(0.565410\pi\)
\(174\) −11.7033 + 11.7627i −0.887227 + 0.891725i
\(175\) −5.89894 9.02749i −0.445918 0.682414i
\(176\) 5.09605 + 2.94221i 0.384130 + 0.221777i
\(177\) −0.259644 0.959295i −0.0195160 0.0721050i
\(178\) 6.59429i 0.494263i
\(179\) −8.80695 5.08469i −0.658262 0.380048i 0.133352 0.991069i \(-0.457426\pi\)
−0.791614 + 0.611021i \(0.790759\pi\)
\(180\) 0.170917 + 33.7998i 0.0127394 + 2.51929i
\(181\) 17.9244i 1.33231i −0.745813 0.666155i \(-0.767939\pi\)
0.745813 0.666155i \(-0.232061\pi\)
\(182\) 20.5987 9.90038i 1.52688 0.733865i
\(183\) 10.8630 + 10.8082i 0.803018 + 0.798968i
\(184\) 12.4301 0.916360
\(185\) 6.67942 11.5691i 0.491081 0.850577i
\(186\) −23.4295 + 23.5482i −1.71793 + 1.72664i
\(187\) 15.3994 + 8.89088i 1.12612 + 0.650165i
\(188\) −19.0612 + 33.0150i −1.39018 + 2.40786i
\(189\) −10.3118 9.09210i −0.750075 0.661353i
\(190\) −8.25262 −0.598708
\(191\) 3.02197 1.74474i 0.218662 0.126245i −0.386669 0.922219i \(-0.626374\pi\)
0.605331 + 0.795974i \(0.293041\pi\)
\(192\) 4.79583 + 17.7190i 0.346109 + 1.27876i
\(193\) 3.29537 5.70775i 0.237206 0.410853i −0.722705 0.691156i \(-0.757102\pi\)
0.959912 + 0.280303i \(0.0904350\pi\)
\(194\) −10.3329 + 17.8971i −0.741858 + 1.28494i
\(195\) −2.50550 18.6463i −0.179422 1.33529i
\(196\) −26.0195 + 2.88385i −1.85854 + 0.205989i
\(197\) −18.2907 + 10.5602i −1.30316 + 0.752380i −0.980945 0.194286i \(-0.937761\pi\)
−0.322216 + 0.946666i \(0.604428\pi\)
\(198\) 0.0853183 + 16.8722i 0.00606330 + 1.19905i
\(199\) 1.73731i 0.123155i 0.998102 + 0.0615775i \(0.0196131\pi\)
−0.998102 + 0.0615775i \(0.980387\pi\)
\(200\) 14.7135 8.49483i 1.04040 0.600675i
\(201\) 3.80611 + 1.00954i 0.268463 + 0.0712073i
\(202\) 30.9811 + 17.8869i 2.17982 + 1.25852i
\(203\) −8.85634 + 5.78710i −0.621593 + 0.406175i
\(204\) −12.8190 47.3620i −0.897512 3.31600i
\(205\) 14.7118 1.02752
\(206\) 11.5417 19.9908i 0.804146 1.39282i
\(207\) 4.51223 + 7.72494i 0.313622 + 0.536920i
\(208\) 3.45986 + 8.34949i 0.239898 + 0.578933i
\(209\) −2.68412 −0.185664
\(210\) −6.70324 + 32.3890i −0.462568 + 2.23505i
\(211\) 2.76341 + 4.78637i 0.190241 + 0.329507i 0.945330 0.326115i \(-0.105740\pi\)
−0.755089 + 0.655622i \(0.772406\pi\)
\(212\) −11.4314 + 6.59994i −0.785114 + 0.453286i
\(213\) 1.00690 3.79616i 0.0689914 0.260108i
\(214\) 2.11144 0.144335
\(215\) 3.65011 + 6.32218i 0.248935 + 0.431169i
\(216\) 15.1986 15.4310i 1.03414 1.04994i
\(217\) −17.7299 + 11.5855i −1.20359 + 0.786473i
\(218\) −21.2469 + 12.2669i −1.43902 + 0.830819i
\(219\) 0.491726 + 0.489245i 0.0332277 + 0.0330601i
\(220\) 22.9052 13.2243i 1.54427 0.891583i
\(221\) 10.4551 + 25.2308i 0.703288 + 1.69721i
\(222\) −17.7616 + 4.80736i −1.19208 + 0.322649i
\(223\) −12.4756 + 7.20276i −0.835425 + 0.482333i −0.855706 0.517462i \(-0.826877\pi\)
0.0202817 + 0.999794i \(0.493544\pi\)
\(224\) 0.340220 + 6.15806i 0.0227319 + 0.411453i
\(225\) 10.6204 + 6.06029i 0.708026 + 0.404019i
\(226\) 3.26318 5.65200i 0.217064 0.375965i
\(227\) 0.136345 0.00904957 0.00452478 0.999990i \(-0.498560\pi\)
0.00452478 + 0.999990i \(0.498560\pi\)
\(228\) 5.25036 + 5.22388i 0.347714 + 0.345960i
\(229\) 0.521290 + 0.300967i 0.0344478 + 0.0198885i 0.517125 0.855910i \(-0.327002\pi\)
−0.482677 + 0.875798i \(0.660336\pi\)
\(230\) 10.7618 18.6399i 0.709610 1.22908i
\(231\) −2.18019 + 10.5343i −0.143446 + 0.693109i
\(232\) −8.33377 14.4345i −0.547139 0.947673i
\(233\) −12.3805 7.14790i −0.811076 0.468275i 0.0362537 0.999343i \(-0.488458\pi\)
−0.847329 + 0.531068i \(0.821791\pi\)
\(234\) −15.6686 + 20.6411i −1.02429 + 1.34935i
\(235\) 15.3548 + 26.5953i 1.00164 + 1.73488i
\(236\) 2.14583 0.139682
\(237\) 22.2030 + 5.88916i 1.44224 + 0.382542i
\(238\) −2.64864 47.9409i −0.171686 3.10755i
\(239\) 17.4646i 1.12969i 0.825197 + 0.564846i \(0.191064\pi\)
−0.825197 + 0.564846i \(0.808936\pi\)
\(240\) −12.6427 3.35337i −0.816085 0.216459i
\(241\) 13.7346i 0.884722i −0.896837 0.442361i \(-0.854141\pi\)
0.896837 0.442361i \(-0.145859\pi\)
\(242\) −11.3892 + 6.57556i −0.732126 + 0.422693i
\(243\) 15.1071 + 3.84392i 0.969120 + 0.246588i
\(244\) −28.6545 + 16.5437i −1.83442 + 1.05910i
\(245\) −8.46817 + 19.3135i −0.541012 + 1.23389i
\(246\) −14.3652 14.2927i −0.915889 0.911269i
\(247\) −3.27101 2.50920i −0.208129 0.159656i
\(248\) −16.6838 28.8972i −1.05942 1.83497i
\(249\) 4.51136 + 16.6679i 0.285896 + 1.05629i
\(250\) 6.66953i 0.421818i
\(251\) 14.5439 25.1908i 0.918003 1.59003i 0.115559 0.993301i \(-0.463134\pi\)
0.802444 0.596727i \(-0.203533\pi\)
\(252\) 24.7668 16.3629i 1.56016 1.03077i
\(253\) 3.50021 6.06254i 0.220056 0.381148i
\(254\) −9.46503 + 5.46464i −0.593889 + 0.342882i
\(255\) −38.2043 10.1334i −2.39245 0.634575i
\(256\) −28.4657 −1.77910
\(257\) 0.564893 0.0352370 0.0176185 0.999845i \(-0.494392\pi\)
0.0176185 + 0.999845i \(0.494392\pi\)
\(258\) 2.57797 9.71934i 0.160497 0.605100i
\(259\) −11.7141 + 0.647182i −0.727881 + 0.0402139i
\(260\) 40.2760 + 5.29663i 2.49781 + 0.328483i
\(261\) 5.94539 10.4190i 0.368010 0.644922i
\(262\) −13.6870 7.90216i −0.845583 0.488197i
\(263\) −18.1106 10.4562i −1.11675 0.644756i −0.176181 0.984358i \(-0.556374\pi\)
−0.940569 + 0.339602i \(0.889708\pi\)
\(264\) −16.3817 4.34510i −1.00822 0.267423i
\(265\) 10.6332i 0.653192i
\(266\) 3.96453 + 6.06716i 0.243081 + 0.372001i
\(267\) −1.24553 4.60179i −0.0762249 0.281625i
\(268\) −4.25115 + 7.36321i −0.259680 + 0.449780i
\(269\) 15.8796 0.968199 0.484099 0.875013i \(-0.339147\pi\)
0.484099 + 0.875013i \(0.339147\pi\)
\(270\) −9.98124 36.1514i −0.607439 2.20010i
\(271\) 5.99130i 0.363945i 0.983304 + 0.181973i \(0.0582483\pi\)
−0.983304 + 0.181973i \(0.941752\pi\)
\(272\) 18.9875 1.15129
\(273\) −12.5047 + 10.7996i −0.756821 + 0.653622i
\(274\) −7.25053 −0.438020
\(275\) 9.56826i 0.576988i
\(276\) −18.6457 + 5.04667i −1.12234 + 0.303774i
\(277\) 28.7317 1.72632 0.863160 0.504930i \(-0.168482\pi\)
0.863160 + 0.504930i \(0.168482\pi\)
\(278\) 18.7644 32.5009i 1.12541 1.94927i
\(279\) 11.9024 20.8584i 0.712576 1.24876i
\(280\) −29.6454 14.9995i −1.77165 0.896390i
\(281\) 13.6303i 0.813117i −0.913625 0.406558i \(-0.866729\pi\)
0.913625 0.406558i \(-0.133271\pi\)
\(282\) 10.8447 40.8860i 0.645790 2.43473i
\(283\) 24.0386 + 13.8787i 1.42895 + 0.825003i 0.997038 0.0769133i \(-0.0245065\pi\)
0.431910 + 0.901917i \(0.357840\pi\)
\(284\) 7.34395 + 4.24003i 0.435783 + 0.251599i
\(285\) 5.75905 1.55875i 0.341137 0.0923324i
\(286\) 20.1050 + 2.64397i 1.18883 + 0.156341i
\(287\) −7.06750 10.8158i −0.417181 0.638437i
\(288\) −3.52719 6.03856i −0.207842 0.355825i
\(289\) 40.3771 2.37512
\(290\) −28.8609 −1.69477
\(291\) 3.83036 14.4411i 0.224540 0.846550i
\(292\) −1.29707 + 0.748866i −0.0759055 + 0.0438241i
\(293\) −4.84856 + 8.39795i −0.283256 + 0.490614i −0.972185 0.234215i \(-0.924748\pi\)
0.688929 + 0.724829i \(0.258081\pi\)
\(294\) 27.0320 10.6315i 1.57654 0.620041i
\(295\) 0.864289 1.49699i 0.0503209 0.0871583i
\(296\) 18.4833i 1.07432i
\(297\) −3.24634 11.7580i −0.188372 0.682271i
\(298\) −8.44855 14.6333i −0.489411 0.847685i
\(299\) 9.93299 4.11603i 0.574440 0.238036i
\(300\) −18.6219 + 18.7163i −1.07514 + 1.08059i
\(301\) 2.89443 5.72064i 0.166832 0.329732i
\(302\) 15.4279 8.90731i 0.887777 0.512558i
\(303\) −24.9985 6.63062i −1.43612 0.380919i
\(304\) −2.48213 + 1.43306i −0.142360 + 0.0821917i
\(305\) 26.6536i 1.52618i
\(306\) 27.4594 + 47.0106i 1.56975 + 2.68741i
\(307\) 31.6343i 1.80546i 0.430203 + 0.902732i \(0.358442\pi\)
−0.430203 + 0.902732i \(0.641558\pi\)
\(308\) −20.7258 10.4865i −1.18096 0.597524i
\(309\) −4.27846 + 16.1304i −0.243393 + 0.917629i
\(310\) −57.7781 −3.28158
\(311\) 7.62664 + 13.2097i 0.432467 + 0.749055i 0.997085 0.0762977i \(-0.0243099\pi\)
−0.564618 + 0.825352i \(0.690977\pi\)
\(312\) −15.9017 20.6093i −0.900256 1.16677i
\(313\) −10.5870 6.11243i −0.598414 0.345495i 0.170003 0.985444i \(-0.445622\pi\)
−0.768418 + 0.639949i \(0.778956\pi\)
\(314\) 24.8295 + 43.0059i 1.40121 + 2.42697i
\(315\) −1.43979 23.8686i −0.0811232 1.34484i
\(316\) −24.7992 + 42.9535i −1.39506 + 2.41632i
\(317\) −26.5252 15.3144i −1.48981 0.860140i −0.489874 0.871793i \(-0.662957\pi\)
−0.999932 + 0.0116535i \(0.996291\pi\)
\(318\) 10.3303 10.3827i 0.579294 0.582230i
\(319\) −9.38686 −0.525563
\(320\) −15.9641 + 27.6507i −0.892422 + 1.54572i
\(321\) −1.47346 + 0.398808i −0.0822404 + 0.0222593i
\(322\) −18.8736 + 1.04273i −1.05179 + 0.0581091i
\(323\) −7.50060 + 4.33048i −0.417345 + 0.240954i
\(324\) −16.5336 + 29.3178i −0.918533 + 1.62877i
\(325\) 8.94472 11.6604i 0.496164 0.646803i
\(326\) −6.57766 + 3.79761i −0.364303 + 0.210330i
\(327\) 12.5101 12.5735i 0.691808 0.695316i
\(328\) 17.6282 10.1776i 0.973353 0.561966i
\(329\) 12.1759 24.0648i 0.671280 1.32674i
\(330\) −20.6988 + 20.8037i −1.13943 + 1.14521i
\(331\) 8.70725 + 15.0814i 0.478594 + 0.828948i 0.999699 0.0245441i \(-0.00781342\pi\)
−0.521105 + 0.853492i \(0.674480\pi\)
\(332\) −37.2842 −2.04624
\(333\) 11.4868 6.70959i 0.629473 0.367683i
\(334\) −8.92368 + 5.15209i −0.488282 + 0.281910i
\(335\) 3.42453 + 5.93145i 0.187102 + 0.324070i
\(336\) 3.60820 + 10.9056i 0.196843 + 0.594951i
\(337\) 19.3854 1.05599 0.527996 0.849247i \(-0.322944\pi\)
0.527996 + 0.849247i \(0.322944\pi\)
\(338\) 22.0293 + 22.0168i 1.19824 + 1.19756i
\(339\) −1.20965 + 4.56057i −0.0656992 + 0.247696i
\(340\) 42.6714 73.9091i 2.31418 4.00828i
\(341\) −18.7920 −1.01764
\(342\) −7.13770 4.07297i −0.385963 0.220241i
\(343\) 18.2670 3.05251i 0.986324 0.164820i
\(344\) 8.74737 + 5.05030i 0.471627 + 0.272294i
\(345\) −3.98935 + 15.0405i −0.214779 + 0.809752i
\(346\) 40.7046 23.5008i 2.18830 1.26341i
\(347\) 0.0971993i 0.00521793i 0.999997 + 0.00260897i \(0.000830460\pi\)
−0.999997 + 0.00260897i \(0.999170\pi\)
\(348\) 18.3615 + 18.2689i 0.984279 + 0.979315i
\(349\) −16.6421 + 9.60835i −0.890834 + 0.514323i −0.874215 0.485539i \(-0.838623\pi\)
−0.0166187 + 0.999862i \(0.505290\pi\)
\(350\) −21.6280 + 14.1326i −1.15607 + 0.755421i
\(351\) 7.03562 17.3638i 0.375534 0.926809i
\(352\) −2.73610 + 4.73906i −0.145835 + 0.252593i
\(353\) −1.17384 + 2.03315i −0.0624773 + 0.108214i −0.895572 0.444916i \(-0.853233\pi\)
0.833095 + 0.553130i \(0.186567\pi\)
\(354\) −2.29827 + 0.622053i −0.122152 + 0.0330617i
\(355\) 5.91593 3.41557i 0.313985 0.181279i
\(356\) 10.2937 0.545564
\(357\) 10.9034 + 32.9550i 0.577068 + 1.74417i
\(358\) −12.1819 + 21.0996i −0.643832 + 1.11515i
\(359\) 4.25959 + 2.45928i 0.224813 + 0.129796i 0.608177 0.793802i \(-0.291901\pi\)
−0.383364 + 0.923597i \(0.625235\pi\)
\(360\) 37.6720 0.190498i 1.98549 0.0100401i
\(361\) −8.84632 + 15.3223i −0.465596 + 0.806436i
\(362\) −42.9432 −2.25704
\(363\) 6.70591 6.73991i 0.351969 0.353754i
\(364\) −15.4545 32.1546i −0.810035 1.68536i
\(365\) 1.20650i 0.0631512i
\(366\) 25.8943 26.0256i 1.35352 1.36038i
\(367\) 4.54478 + 2.62393i 0.237235 + 0.136968i 0.613905 0.789380i \(-0.289598\pi\)
−0.376670 + 0.926348i \(0.622931\pi\)
\(368\) 7.47509i 0.389666i
\(369\) 12.7243 + 7.26081i 0.662398 + 0.377983i
\(370\) −27.7172 16.0025i −1.44095 0.831931i
\(371\) 7.81731 5.10815i 0.405854 0.265202i
\(372\) 36.7588 + 36.5733i 1.90585 + 1.89624i
\(373\) −16.1661 28.0005i −0.837050 1.44981i −0.892351 0.451343i \(-0.850945\pi\)
0.0553011 0.998470i \(-0.482388\pi\)
\(374\) 21.3007 36.8939i 1.10143 1.90774i
\(375\) −1.25974 4.65430i −0.0650525 0.240347i
\(376\) 36.7973 + 21.2449i 1.89767 + 1.09562i
\(377\) −11.4393 8.77513i −0.589155 0.451942i
\(378\) −21.7828 + 24.7050i −1.12039 + 1.27069i
\(379\) 2.14418 + 3.71383i 0.110139 + 0.190766i 0.915826 0.401575i \(-0.131537\pi\)
−0.805687 + 0.592341i \(0.798204\pi\)
\(380\) 12.8823i 0.660849i
\(381\) 5.57297 5.60122i 0.285512 0.286959i
\(382\) −4.18003 7.24002i −0.213869 0.370432i
\(383\) −8.12508 14.0730i −0.415172 0.719099i 0.580274 0.814421i \(-0.302945\pi\)
−0.995446 + 0.0953219i \(0.969612\pi\)
\(384\) 34.6563 9.38012i 1.76855 0.478677i
\(385\) −15.6636 + 10.2352i −0.798289 + 0.521635i
\(386\) −13.6746 7.89504i −0.696019 0.401847i
\(387\) 0.0367602 + 7.26952i 0.00186862 + 0.369531i
\(388\) 27.9373 + 16.1296i 1.41830 + 0.818857i
\(389\) −8.08628 + 4.66861i −0.409990 + 0.236708i −0.690786 0.723060i \(-0.742735\pi\)
0.280795 + 0.959768i \(0.409402\pi\)
\(390\) −44.6727 + 6.00265i −2.26209 + 0.303956i
\(391\) 22.5885i 1.14235i
\(392\) 3.21423 + 29.0004i 0.162343 + 1.46474i
\(393\) 11.0439 + 2.92930i 0.557093 + 0.147764i
\(394\) 25.3000 + 43.8208i 1.27459 + 2.20766i
\(395\) 19.9770 + 34.6013i 1.00515 + 1.74098i
\(396\) 26.3374 0.133182i 1.32350 0.00669263i
\(397\) −0.218983 + 0.126430i −0.0109904 + 0.00634534i −0.505485 0.862835i \(-0.668686\pi\)
0.494495 + 0.869181i \(0.335353\pi\)
\(398\) 4.16225 0.208635
\(399\) −3.91259 3.48512i −0.195874 0.174474i
\(400\) −5.10853 8.84824i −0.255427 0.442412i
\(401\) 18.8656i 0.942104i 0.882105 + 0.471052i \(0.156126\pi\)
−0.882105 + 0.471052i \(0.843874\pi\)
\(402\) 2.41865 9.11867i 0.120631 0.454798i
\(403\) −22.9009 17.5674i −1.14078 0.875093i
\(404\) 27.9215 48.3614i 1.38914 2.40607i
\(405\) 13.7936 + 23.3428i 0.685410 + 1.15991i
\(406\) 13.8647 + 21.2180i 0.688093 + 1.05303i
\(407\) −9.01485 5.20473i −0.446850 0.257989i
\(408\) −52.7879 + 14.2876i −2.61339 + 0.707343i
\(409\) 7.91197i 0.391221i −0.980682 0.195611i \(-0.937331\pi\)
0.980682 0.195611i \(-0.0626689\pi\)
\(410\) 35.2464i 1.74070i
\(411\) 5.05975 1.36948i 0.249579 0.0675513i
\(412\) −31.2055 18.0165i −1.53739 0.887611i
\(413\) −1.51576 + 0.0837427i −0.0745857 + 0.00412071i
\(414\) 18.5074 10.8104i 0.909587 0.531301i
\(415\) −15.0172 + 26.0105i −0.737165 + 1.27681i
\(416\) −7.76458 + 3.21748i −0.380690 + 0.157750i
\(417\) −6.95590 + 26.2248i −0.340632 + 1.28423i
\(418\) 6.43060i 0.314531i
\(419\) −3.20858 5.55742i −0.156749 0.271498i 0.776945 0.629568i \(-0.216768\pi\)
−0.933695 + 0.358070i \(0.883435\pi\)
\(420\) 50.5592 + 10.4638i 2.46704 + 0.510579i
\(421\) −27.2075 −1.32601 −0.663007 0.748614i \(-0.730720\pi\)
−0.663007 + 0.748614i \(0.730720\pi\)
\(422\) 11.4672 6.62056i 0.558212 0.322284i
\(423\) 0.154638 + 30.5804i 0.00751874 + 1.48687i
\(424\) 7.35605 + 12.7411i 0.357241 + 0.618760i
\(425\) −15.4372 26.7379i −0.748812 1.29698i
\(426\) −9.09481 2.41232i −0.440645 0.116877i
\(427\) 19.5952 12.8043i 0.948277 0.619644i
\(428\) 3.29595i 0.159316i
\(429\) −14.5295 + 1.95233i −0.701493 + 0.0942594i
\(430\) 15.1466 8.74491i 0.730436 0.421717i
\(431\) 19.5603 + 11.2931i 0.942185 + 0.543971i 0.890645 0.454700i \(-0.150254\pi\)
0.0515405 + 0.998671i \(0.483587\pi\)
\(432\) −9.27971 9.13999i −0.446470 0.439748i
\(433\) −23.8203 13.7527i −1.14473 0.660910i −0.197133 0.980377i \(-0.563163\pi\)
−0.947598 + 0.319466i \(0.896496\pi\)
\(434\) 27.7564 + 42.4773i 1.33235 + 2.03897i
\(435\) 20.1405 5.45124i 0.965662 0.261367i
\(436\) 19.1486 + 33.1663i 0.917051 + 1.58838i
\(437\) 1.70484 + 2.95288i 0.0815538 + 0.141255i
\(438\) 1.17213 1.17807i 0.0560066 0.0562905i
\(439\) 26.9564i 1.28656i −0.765631 0.643280i \(-0.777573\pi\)
0.765631 0.643280i \(-0.222427\pi\)
\(440\) −14.7393 25.5293i −0.702670 1.21706i
\(441\) −16.8561 + 12.5249i −0.802669 + 0.596425i
\(442\) 60.4478 25.0483i 2.87521 1.19143i
\(443\) −11.1645 6.44581i −0.530440 0.306250i 0.210756 0.977539i \(-0.432408\pi\)
−0.741196 + 0.671289i \(0.765741\pi\)
\(444\) 7.50428 + 27.7258i 0.356137 + 1.31581i
\(445\) 4.14605 7.18116i 0.196542 0.340420i
\(446\) 17.2563 + 29.8889i 0.817111 + 1.41528i
\(447\) 8.65971 + 8.61603i 0.409590 + 0.407524i
\(448\) 27.9973 1.54680i 1.32275 0.0730792i
\(449\) 15.3399 + 8.85649i 0.723934 + 0.417964i 0.816199 0.577771i \(-0.196077\pi\)
−0.0922648 + 0.995735i \(0.529411\pi\)
\(450\) 14.5192 25.4443i 0.684442 1.19945i
\(451\) 11.4637i 0.539805i
\(452\) −8.82276 5.09382i −0.414988 0.239593i
\(453\) −9.08389 + 9.12994i −0.426798 + 0.428962i
\(454\) 0.326656i 0.0153307i
\(455\) −28.6566 2.16961i −1.34344 0.101713i
\(456\) 5.82234 5.85186i 0.272656 0.274038i
\(457\) −26.9925 −1.26266 −0.631329 0.775515i \(-0.717490\pi\)
−0.631329 + 0.775515i \(0.717490\pi\)
\(458\) 0.721055 1.24890i 0.0336927 0.0583575i
\(459\) −28.0418 27.6196i −1.30888 1.28917i
\(460\) −29.0969 16.7991i −1.35665 0.783263i
\(461\) −9.02803 + 15.6370i −0.420477 + 0.728288i −0.995986 0.0895077i \(-0.971471\pi\)
0.575509 + 0.817795i \(0.304804\pi\)
\(462\) 25.2381 + 5.22329i 1.17418 + 0.243010i
\(463\) −7.75112 −0.360225 −0.180113 0.983646i \(-0.557646\pi\)
−0.180113 + 0.983646i \(0.557646\pi\)
\(464\) −8.68048 + 5.01168i −0.402981 + 0.232661i
\(465\) 40.3202 10.9131i 1.86980 0.506083i
\(466\) −17.1249 + 29.6612i −0.793296 + 1.37403i
\(467\) 9.49821 16.4514i 0.439525 0.761279i −0.558128 0.829755i \(-0.688480\pi\)
0.997653 + 0.0684756i \(0.0218135\pi\)
\(468\) 32.2207 + 24.4587i 1.48940 + 1.13061i
\(469\) 2.71555 5.36709i 0.125393 0.247829i
\(470\) 63.7168 36.7869i 2.93904 1.69685i
\(471\) −25.4501 25.3217i −1.17268 1.16676i
\(472\) 2.39166i 0.110085i
\(473\) 4.92636 2.84423i 0.226514 0.130778i
\(474\) 14.1092 53.1939i 0.648058 2.44328i
\(475\) 4.03603 + 2.33021i 0.185186 + 0.106917i
\(476\) −74.8357 + 4.13452i −3.43009 + 0.189505i
\(477\) −5.24787 + 9.19667i −0.240284 + 0.421086i
\(478\) 41.8416 1.91379
\(479\) 5.30499 9.18852i 0.242391 0.419834i −0.719004 0.695006i \(-0.755402\pi\)
0.961395 + 0.275172i \(0.0887349\pi\)
\(480\) 3.11846 11.7571i 0.142338 0.536635i
\(481\) −6.12044 14.7701i −0.279068 0.673460i
\(482\) −32.9052 −1.49879
\(483\) 12.9739 4.29250i 0.590334 0.195316i
\(484\) 10.2644 + 17.7785i 0.466565 + 0.808115i
\(485\) 22.5050 12.9932i 1.02190 0.589993i
\(486\) 9.20925 36.1935i 0.417740 1.64177i
\(487\) −34.2992 −1.55425 −0.777124 0.629348i \(-0.783322\pi\)
−0.777124 + 0.629348i \(0.783322\pi\)
\(488\) 18.4390 + 31.9372i 0.834693 + 1.44573i
\(489\) 3.87290 3.89253i 0.175138 0.176026i
\(490\) 46.2712 + 20.2880i 2.09032 + 0.916519i
\(491\) −13.6044 + 7.85449i −0.613957 + 0.354468i −0.774512 0.632559i \(-0.782005\pi\)
0.160556 + 0.987027i \(0.448671\pi\)
\(492\) −22.3109 + 22.4240i −1.00585 + 1.01095i
\(493\) −26.2310 + 15.1445i −1.18139 + 0.682073i
\(494\) −6.01152 + 7.83667i −0.270471 + 0.352588i
\(495\) 10.5152 18.4274i 0.472622 0.828249i
\(496\) −17.3779 + 10.0331i −0.780290 + 0.450500i
\(497\) −5.35305 2.70845i −0.240117 0.121490i
\(498\) 39.9329 10.8083i 1.78944 0.484331i
\(499\) 14.6954 25.4532i 0.657856 1.13944i −0.323313 0.946292i \(-0.604797\pi\)
0.981170 0.193149i \(-0.0618700\pi\)
\(500\) 10.4111 0.465599
\(501\) 5.25422 5.28086i 0.234741 0.235931i
\(502\) −60.3519 34.8442i −2.69364 1.55517i
\(503\) −7.24340 + 12.5459i −0.322967 + 0.559396i −0.981099 0.193507i \(-0.938014\pi\)
0.658132 + 0.752903i \(0.271347\pi\)
\(504\) −18.2375 27.6041i −0.812364 1.22959i
\(505\) −22.4922 38.9576i −1.00089 1.73359i
\(506\) −14.5246 8.38578i −0.645697 0.372793i
\(507\) −19.5316 11.2035i −0.867428 0.497563i
\(508\) 8.53029 + 14.7749i 0.378470 + 0.655530i
\(509\) −19.2843 −0.854762 −0.427381 0.904072i \(-0.640564\pi\)
−0.427381 + 0.904072i \(0.640564\pi\)
\(510\) −24.2774 + 91.5297i −1.07502 + 4.05300i
\(511\) 0.886995 0.579599i 0.0392383 0.0256400i
\(512\) 26.7403i 1.18177i
\(513\) 5.75031 + 1.49414i 0.253882 + 0.0659678i
\(514\) 1.35337i 0.0596944i
\(515\) −25.1377 + 14.5133i −1.10770 + 0.639530i
\(516\) −15.1719 4.02421i −0.667905 0.177156i
\(517\) 20.7235 11.9647i 0.911420 0.526209i
\(518\) 1.55052 + 28.0647i 0.0681257 + 1.23309i
\(519\) −23.9667 + 24.0882i −1.05202 + 1.05736i
\(520\) 5.90343 44.8901i 0.258883 1.96856i
\(521\) 1.83171 + 3.17261i 0.0802486 + 0.138995i 0.903357 0.428890i \(-0.141095\pi\)
−0.823108 + 0.567885i \(0.807762\pi\)
\(522\) −24.9619 14.2439i −1.09255 0.623440i
\(523\) 1.22628i 0.0536214i −0.999641 0.0268107i \(-0.991465\pi\)
0.999641 0.0268107i \(-0.00853513\pi\)
\(524\) −12.3353 + 21.3653i −0.538869 + 0.933348i
\(525\) 12.4236 13.9475i 0.542212 0.608718i
\(526\) −25.0509 + 43.3894i −1.09227 + 1.89187i
\(527\) −52.5131 + 30.3185i −2.28751 + 1.32069i
\(528\) −2.61301 + 9.85146i −0.113717 + 0.428730i
\(529\) 14.1072 0.613358
\(530\) 25.4750 1.10656
\(531\) 1.48635 0.868193i 0.0645019 0.0376764i
\(532\) 9.47082 6.18863i 0.410612 0.268311i
\(533\) 10.7166 13.9703i 0.464189 0.605120i
\(534\) −11.0250 + 2.98402i −0.477096 + 0.129131i
\(535\) −2.29935 1.32753i −0.0994097 0.0573942i
\(536\) 8.20676 + 4.73818i 0.354478 + 0.204658i
\(537\) 4.51578 17.0252i 0.194870 0.734691i
\(538\) 38.0444i 1.64021i
\(539\) 15.0494 + 6.59856i 0.648225 + 0.284220i
\(540\) −56.4323 + 15.5807i −2.42846 + 0.670486i
\(541\) −19.9675 + 34.5848i −0.858472 + 1.48692i 0.0149143 + 0.999889i \(0.495252\pi\)
−0.873386 + 0.487028i \(0.838081\pi\)
\(542\) 14.3539 0.616554
\(543\) 29.9677 8.11109i 1.28604 0.348080i
\(544\) 17.6574i 0.757053i
\(545\) 30.8504 1.32149
\(546\) 25.8736 + 29.9588i 1.10729 + 1.28212i
\(547\) 9.62236 0.411422 0.205711 0.978613i \(-0.434049\pi\)
0.205711 + 0.978613i \(0.434049\pi\)
\(548\) 11.3181i 0.483484i
\(549\) −13.1545 + 23.0527i −0.561421 + 0.983867i
\(550\) −22.9236 −0.977465
\(551\) 2.28603 3.95952i 0.0973880 0.168681i
\(552\) 5.62483 + 20.7818i 0.239409 + 0.884534i
\(553\) 15.8412 31.3090i 0.673638 1.33140i
\(554\) 68.8353i 2.92453i
\(555\) 22.3648 + 5.93208i 0.949335 + 0.251803i
\(556\) −50.7339 29.2912i −2.15159 1.24222i
\(557\) 4.00214 + 2.31063i 0.169576 + 0.0979047i 0.582386 0.812912i \(-0.302119\pi\)
−0.412810 + 0.910817i \(0.635453\pi\)
\(558\) −49.9724 28.5156i −2.11550 1.20716i
\(559\) 8.66241 + 1.13918i 0.366381 + 0.0481822i
\(560\) −9.02023 + 17.8278i −0.381174 + 0.753363i
\(561\) −7.89610 + 29.7695i −0.333374 + 1.25687i
\(562\) −32.6555 −1.37749
\(563\) 31.4988 1.32752 0.663759 0.747947i \(-0.268960\pi\)
0.663759 + 0.747947i \(0.268960\pi\)
\(564\) −63.8230 16.9285i −2.68743 0.712818i
\(565\) −7.10720 + 4.10334i −0.299002 + 0.172629i
\(566\) 33.2505 57.5916i 1.39762 2.42076i
\(567\) 10.5348 21.3546i 0.442418 0.896809i
\(568\) 4.72578 8.18529i 0.198289 0.343447i
\(569\) 29.6621i 1.24350i 0.783215 + 0.621750i \(0.213578\pi\)
−0.783215 + 0.621750i \(0.786422\pi\)
\(570\) −3.73444 13.7975i −0.156419 0.577914i
\(571\) −0.414519 0.717968i −0.0173471 0.0300460i 0.857222 0.514948i \(-0.172189\pi\)
−0.874569 + 0.484902i \(0.838855\pi\)
\(572\) 4.12724 31.3838i 0.172568 1.31222i
\(573\) 4.28450 + 4.26289i 0.178988 + 0.178085i
\(574\) −25.9125 + 16.9323i −1.08157 + 0.706740i
\(575\) −10.5263 + 6.07738i −0.438978 + 0.253444i
\(576\) −27.4540 + 16.0362i −1.14392 + 0.668176i
\(577\) −5.14146 + 2.96842i −0.214042 + 0.123577i −0.603188 0.797599i \(-0.706103\pi\)
0.389147 + 0.921176i \(0.372770\pi\)
\(578\) 96.7352i 4.02366i
\(579\) 11.0340 + 2.92666i 0.458556 + 0.121628i
\(580\) 45.0519i 1.87068i
\(581\) 26.3366 1.45505i 1.09263 0.0603654i
\(582\) −34.5978 9.17676i −1.43413 0.380389i
\(583\) 8.28559 0.343154
\(584\) 0.834658 + 1.44567i 0.0345384 + 0.0598223i
\(585\) 30.0408 12.6267i 1.24204 0.522049i
\(586\) 20.1198 + 11.6162i 0.831140 + 0.479859i
\(587\) −13.8587 24.0040i −0.572012 0.990753i −0.996359 0.0852537i \(-0.972830\pi\)
0.424348 0.905499i \(-0.360503\pi\)
\(588\) −16.5957 42.1968i −0.684397 1.74017i
\(589\) 4.57651 7.92674i 0.188572 0.326616i
\(590\) −3.58649 2.07066i −0.147653 0.0852477i
\(591\) −25.9323 25.8015i −1.06671 1.06133i
\(592\) −11.1153 −0.456836
\(593\) 15.6217 27.0576i 0.641507 1.11112i −0.343589 0.939120i \(-0.611643\pi\)
0.985096 0.172003i \(-0.0550240\pi\)
\(594\) −28.1698 + 7.77757i −1.15582 + 0.319117i
\(595\) −27.2577 + 53.8728i −1.11746 + 2.20857i
\(596\) −22.8426 + 13.1882i −0.935669 + 0.540209i
\(597\) −2.90461 + 0.786163i −0.118878 + 0.0321755i
\(598\) −9.86116 23.7974i −0.403253 0.973148i
\(599\) −0.638289 + 0.368516i −0.0260798 + 0.0150572i −0.512983 0.858399i \(-0.671460\pi\)
0.486903 + 0.873456i \(0.338126\pi\)
\(600\) 20.8605 + 20.7553i 0.851628 + 0.847332i
\(601\) 7.40310 4.27418i 0.301979 0.174348i −0.341353 0.939935i \(-0.610885\pi\)
0.643332 + 0.765588i \(0.277552\pi\)
\(602\) −13.7055 6.93447i −0.558593 0.282628i
\(603\) 0.0344883 + 6.82025i 0.00140447 + 0.277742i
\(604\) −13.9043 24.0829i −0.565758 0.979921i
\(605\) 16.5371 0.672328
\(606\) −15.8856 + 59.8912i −0.645308 + 2.43291i
\(607\) −39.0905 + 22.5689i −1.58663 + 0.916043i −0.592776 + 0.805367i \(0.701968\pi\)
−0.993857 + 0.110675i \(0.964699\pi\)
\(608\) −1.33267 2.30825i −0.0540469 0.0936120i
\(609\) −13.6831 12.1881i −0.554465 0.493887i
\(610\) 63.8565 2.58548
\(611\) 36.4398 + 4.79215i 1.47420 + 0.193869i
\(612\) 73.3834 42.8642i 2.96635 1.73268i
\(613\) 12.0863 20.9342i 0.488163 0.845523i −0.511745 0.859138i \(-0.671001\pi\)
0.999907 + 0.0136150i \(0.00433392\pi\)
\(614\) 75.7893 3.05861
\(615\) 6.65733 + 24.5966i 0.268449 + 0.991829i
\(616\) −11.6879 + 23.1002i −0.470918 + 0.930735i
\(617\) 24.4243 + 14.1014i 0.983286 + 0.567700i 0.903261 0.429092i \(-0.141167\pi\)
0.0800253 + 0.996793i \(0.474500\pi\)
\(618\) 38.6452 + 10.2503i 1.55454 + 0.412328i
\(619\) 11.2287 6.48287i 0.451318 0.260568i −0.257069 0.966393i \(-0.582757\pi\)
0.708387 + 0.705825i \(0.249423\pi\)
\(620\) 90.1915i 3.62218i
\(621\) −10.8734 + 11.0396i −0.436335 + 0.443005i
\(622\) 31.6478 18.2719i 1.26896 0.732635i
\(623\) −7.27119 + 0.401719i −0.291314 + 0.0160945i
\(624\) −12.3938 + 9.56279i −0.496150 + 0.382818i
\(625\) 14.3832 24.9124i 0.575328 0.996498i
\(626\) −14.6441 + 25.3644i −0.585297 + 1.01376i
\(627\) −1.21461 4.48756i −0.0485067 0.179216i
\(628\) 67.1322 38.7588i 2.67887 1.54664i
\(629\) −33.5886 −1.33927
\(630\) −57.1843 + 3.44945i −2.27828 + 0.137429i
\(631\) 3.84197 6.65449i 0.152947 0.264911i −0.779363 0.626573i \(-0.784457\pi\)
0.932309 + 0.361662i \(0.117790\pi\)
\(632\) 47.8743 + 27.6403i 1.90434 + 1.09947i
\(633\) −6.75181 + 6.78604i −0.268360 + 0.269721i
\(634\) −36.6900 + 63.5490i −1.45715 + 2.52385i
\(635\) 13.7432 0.545382
\(636\) −16.2073 16.1256i −0.642662 0.639420i
\(637\) 12.1715 + 22.1101i 0.482253 + 0.876032i
\(638\) 22.4890i 0.890347i
\(639\) 6.80241 0.0343981i 0.269099 0.00136077i
\(640\) 54.0817 + 31.2241i 2.13777 + 1.23424i
\(641\) 22.8500i 0.902520i −0.892393 0.451260i \(-0.850975\pi\)
0.892393 0.451260i \(-0.149025\pi\)
\(642\) 0.955461 + 3.53010i 0.0377090 + 0.139322i
\(643\) 2.15372 + 1.24345i 0.0849343 + 0.0490368i 0.541866 0.840465i \(-0.317718\pi\)
−0.456931 + 0.889502i \(0.651051\pi\)
\(644\) 1.62770 + 29.4617i 0.0641403 + 1.16095i
\(645\) −8.91827 + 8.96349i −0.351157 + 0.352937i
\(646\) 10.3749 + 17.9699i 0.408196 + 0.707017i
\(647\) −16.2720 + 28.1839i −0.639718 + 1.10802i 0.345777 + 0.938317i \(0.387615\pi\)
−0.985495 + 0.169707i \(0.945718\pi\)
\(648\) 32.6766 + 18.4277i 1.28366 + 0.723910i
\(649\) −1.16649 0.673471i −0.0457885 0.0264360i
\(650\) −27.9359 21.4297i −1.09574 0.840542i
\(651\) −27.3928 24.4000i −1.07361 0.956309i
\(652\) 5.92807 + 10.2677i 0.232161 + 0.402115i
\(653\) 0.0139052i 0.000544151i 1.00000 0.000272075i \(8.66043e-5\pi\)
−1.00000 0.000272075i \(0.999913\pi\)
\(654\) −30.1235 29.9716i −1.17792 1.17198i
\(655\) 9.93670 + 17.2109i 0.388259 + 0.672485i
\(656\) −6.12052 10.6010i −0.238966 0.413901i
\(657\) −0.595452 + 1.04350i −0.0232308 + 0.0407110i
\(658\) −57.6543 29.1710i −2.24760 1.13720i
\(659\) −22.5680 13.0297i −0.879126 0.507564i −0.00875579 0.999962i \(-0.502787\pi\)
−0.870370 + 0.492398i \(0.836120\pi\)
\(660\) 32.4746 + 32.3108i 1.26407 + 1.25770i
\(661\) −5.89003 3.40061i −0.229096 0.132268i 0.381059 0.924551i \(-0.375559\pi\)
−0.610155 + 0.792282i \(0.708893\pi\)
\(662\) 36.1319 20.8608i 1.40431 0.810777i
\(663\) −37.4521 + 28.8972i −1.45452 + 1.12227i
\(664\) 41.5556i 1.61267i
\(665\) −0.502743 9.09975i −0.0194955 0.352873i
\(666\) −16.0748 27.5200i −0.622886 1.06638i
\(667\) 5.96216 + 10.3268i 0.230856 + 0.399854i
\(668\) 8.04240 + 13.9299i 0.311170 + 0.538962i
\(669\) −17.6876 17.5984i −0.683844 0.680395i
\(670\) 14.2105 8.20446i 0.549001 0.316966i
\(671\) 20.7690 0.801778
\(672\) −10.1417 + 3.35543i −0.391223 + 0.129439i
\(673\) −2.26755 3.92750i −0.0874075 0.151394i 0.819007 0.573783i \(-0.194525\pi\)
−0.906415 + 0.422389i \(0.861192\pi\)
\(674\) 46.4435i 1.78894i
\(675\) −5.32626 + 20.4985i −0.205008 + 0.788989i
\(676\) 34.3682 34.3877i 1.32186 1.32260i
\(677\) −15.3870 + 26.6510i −0.591369 + 1.02428i 0.402679 + 0.915341i \(0.368079\pi\)
−0.994048 + 0.108940i \(0.965254\pi\)
\(678\) 10.9262 + 2.89807i 0.419618 + 0.111300i
\(679\) −20.3637 10.3033i −0.781486 0.395403i
\(680\) −82.3763 47.5600i −3.15899 1.82384i
\(681\) 0.0616986 + 0.227955i 0.00236429 + 0.00873526i
\(682\) 45.0218i 1.72397i
\(683\) 2.02544i 0.0775015i −0.999249 0.0387507i \(-0.987662\pi\)
0.999249 0.0387507i \(-0.0123378\pi\)
\(684\) −6.35790 + 11.1419i −0.243100 + 0.426023i
\(685\) 7.89581 + 4.55865i 0.301683 + 0.174177i
\(686\) −7.31319 43.7639i −0.279219 1.67091i
\(687\) −0.267293 + 1.00773i −0.0101978 + 0.0384475i
\(688\) 3.03709 5.26040i 0.115788 0.200551i
\(689\) 10.0973 + 7.74563i 0.384675 + 0.295085i
\(690\) 36.0339 + 9.55767i 1.37179 + 0.363854i
\(691\) 51.9477i 1.97618i 0.153864 + 0.988092i \(0.450828\pi\)
−0.153864 + 0.988092i \(0.549172\pi\)
\(692\) −36.6848 63.5399i −1.39455 2.41542i
\(693\) −18.5989 + 1.12191i −0.706513 + 0.0426180i
\(694\) 0.232870 0.00883961
\(695\) −40.8688 + 23.5956i −1.55024 + 0.895032i
\(696\) 20.3618 20.4650i 0.771813 0.775725i
\(697\) −18.4952 32.0346i −0.700556 1.21340i
\(698\) 23.0196 + 39.8712i 0.871306 + 1.50915i
\(699\) 6.34814 23.9335i 0.240109 0.905247i
\(700\) 22.0610 + 33.7613i 0.833829 + 1.27606i
\(701\) 32.3744i 1.22276i −0.791335 0.611382i \(-0.790614\pi\)
0.791335 0.611382i \(-0.209386\pi\)
\(702\) −41.6000 16.8559i −1.57009 0.636185i
\(703\) 4.39086 2.53507i 0.165605 0.0956118i
\(704\) 21.5459 + 12.4395i 0.812043 + 0.468833i
\(705\) −37.5162 + 37.7064i −1.41294 + 1.42010i
\(706\) 4.87102 + 2.81228i 0.183323 + 0.105842i
\(707\) −17.8357 + 35.2509i −0.670780 + 1.32575i
\(708\) 0.971023 + 3.58760i 0.0364933 + 0.134830i
\(709\) −16.7039 28.9320i −0.627329 1.08657i −0.988086 0.153905i \(-0.950815\pi\)
0.360757 0.932660i \(-0.382518\pi\)
\(710\) −8.18300 14.1734i −0.307102 0.531917i
\(711\) 0.201188 + 39.7861i 0.00754515 + 1.49209i
\(712\) 11.4730i 0.429967i
\(713\) 11.9359 + 20.6736i 0.447004 + 0.774234i
\(714\) 78.9535 26.1223i 2.95476 0.977602i
\(715\) −20.2319 15.5199i −0.756630 0.580412i
\(716\) 32.9365 + 19.0159i 1.23089 + 0.710657i
\(717\) −29.1990 + 7.90302i −1.09045 + 0.295144i
\(718\) 5.89192 10.2051i 0.219884 0.380851i
\(719\) 7.03132 + 12.1786i 0.262224 + 0.454185i 0.966833 0.255411i \(-0.0822107\pi\)
−0.704609 + 0.709596i \(0.748877\pi\)
\(720\) −0.114560 22.6548i −0.00426938 0.844294i
\(721\) 22.7459 + 11.5086i 0.847102 + 0.428603i
\(722\) 36.7090 + 21.1940i 1.36617 + 0.788758i
\(723\) 22.9627 6.21512i 0.853994 0.231143i
\(724\) 67.0343i 2.49131i
\(725\) 14.1148 + 8.14916i 0.524209 + 0.302652i
\(726\) −16.1474 16.0660i −0.599288 0.596265i
\(727\) 24.2189i 0.898230i 0.893474 + 0.449115i \(0.148261\pi\)
−0.893474 + 0.449115i \(0.851739\pi\)
\(728\) −35.8383 + 17.2250i −1.32826 + 0.638401i
\(729\) 0.409577 + 26.9969i 0.0151695 + 0.999885i
\(730\) 2.89053 0.106983
\(731\) 9.17761 15.8961i 0.339446 0.587938i
\(732\) −40.6259 40.4210i −1.50158 1.49400i
\(733\) 34.5195 + 19.9298i 1.27501 + 0.736125i 0.975926 0.218103i \(-0.0699867\pi\)
0.299081 + 0.954228i \(0.403320\pi\)
\(734\) 6.28639 10.8884i 0.232035 0.401896i
\(735\) −36.1221 5.41822i −1.33238 0.199854i
\(736\) 6.95144 0.256234
\(737\) 4.62190 2.66845i 0.170250 0.0982938i
\(738\) 17.3954 30.4847i 0.640334 1.12216i
\(739\) 22.3798 38.7629i 0.823254 1.42592i −0.0799921 0.996795i \(-0.525490\pi\)
0.903246 0.429123i \(-0.141177\pi\)
\(740\) −24.9799 + 43.2665i −0.918279 + 1.59051i
\(741\) 2.71493 6.60423i 0.0997354 0.242613i
\(742\) −12.2381 18.7287i −0.449274 0.687551i
\(743\) 32.0510 18.5047i 1.17584 0.678870i 0.220790 0.975321i \(-0.429137\pi\)
0.955048 + 0.296451i \(0.0958033\pi\)
\(744\) 40.7633 40.9700i 1.49446 1.50203i
\(745\) 21.2475i 0.778449i
\(746\) −67.0835 + 38.7307i −2.45610 + 1.41803i
\(747\) −25.8255 + 15.0850i −0.944907 + 0.551932i
\(748\) −57.5913 33.2504i −2.10575 1.21575i
\(749\) 0.128627 + 2.32818i 0.00469994 + 0.0850698i
\(750\) −11.1507 + 3.01807i −0.407167 + 0.110204i
\(751\) −17.5397 −0.640032 −0.320016 0.947412i \(-0.603688\pi\)
−0.320016 + 0.947412i \(0.603688\pi\)
\(752\) 12.7760 22.1288i 0.465894 0.806952i
\(753\) 48.6977 + 12.9166i 1.77464 + 0.470708i
\(754\) −21.0234 + 27.4063i −0.765628 + 0.998078i
\(755\) −22.4013 −0.815266
\(756\) 38.5645 + 34.0029i 1.40258 + 1.23667i
\(757\) −3.24870 5.62691i −0.118076 0.204514i 0.800929 0.598759i \(-0.204339\pi\)
−0.919005 + 0.394245i \(0.871006\pi\)
\(758\) 8.89756 5.13701i 0.323174 0.186585i
\(759\) 11.7198 + 3.10858i 0.425402 + 0.112834i
\(760\) 14.3582 0.520825
\(761\) −2.70659 4.68795i −0.0981138 0.169938i 0.812790 0.582557i \(-0.197948\pi\)
−0.910904 + 0.412619i \(0.864614\pi\)
\(762\) −13.4194 13.3517i −0.486133 0.483681i
\(763\) −14.8204 22.6806i −0.536535 0.821092i
\(764\) −11.3017 + 6.52502i −0.408880 + 0.236067i
\(765\) −0.346180 68.4590i −0.0125162 2.47514i
\(766\) −33.7161 + 19.4660i −1.21821 + 0.703336i
\(767\) −0.791960 1.91119i −0.0285960 0.0690092i
\(768\) −12.8812 47.5916i −0.464809 1.71731i
\(769\) −6.05121 + 3.49367i −0.218212 + 0.125985i −0.605122 0.796133i \(-0.706876\pi\)
0.386910 + 0.922118i \(0.373542\pi\)