Properties

Label 273.2.bf.b.152.4
Level $273$
Weight $2$
Character 273.152
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(152,273)]
 
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, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (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 152.4
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.07482 + 1.19790i) q^{2} +(1.22164 - 1.22784i) q^{3} +(1.86992 - 3.23879i) q^{4} +(-1.50632 + 2.60901i) q^{5} +(-1.06387 + 4.01095i) q^{6} +(-1.19447 + 2.36077i) q^{7} +4.16828i q^{8} +(-0.0151701 - 2.99996i) q^{9} +O(q^{10})\) \(q+(-2.07482 + 1.19790i) q^{2} +(1.22164 - 1.22784i) q^{3} +(1.86992 - 3.23879i) q^{4} +(-1.50632 + 2.60901i) q^{5} +(-1.06387 + 4.01095i) q^{6} +(-1.19447 + 2.36077i) q^{7} +4.16828i q^{8} +(-0.0151701 - 2.99996i) q^{9} -7.21764i q^{10} -2.34750i q^{11} +(-1.69233 - 6.25260i) q^{12} +(-1.38026 + 3.33090i) q^{13} +(-0.349666 - 6.32902i) q^{14} +(1.36326 + 5.03680i) q^{15} +(-1.25334 - 2.17085i) q^{16} +(-3.78738 + 6.55994i) q^{17} +(3.62512 + 6.20621i) q^{18} -1.14340i q^{19} +(5.63336 + 9.75727i) q^{20} +(1.43944 + 4.35064i) q^{21} +(2.81206 + 4.87063i) q^{22} +(-2.58255 + 1.49104i) q^{23} +(5.11797 + 5.09215i) q^{24} +(-2.03797 - 3.52987i) q^{25} +(-1.12629 - 8.56442i) q^{26} +(-3.70200 - 3.64626i) q^{27} +(5.41250 + 8.28307i) q^{28} +(3.46295 + 1.99933i) q^{29} +(-8.86209 - 8.81739i) q^{30} +(-6.93264 + 4.00256i) q^{31} +(-2.01877 - 1.16554i) q^{32} +(-2.88235 - 2.86781i) q^{33} -18.1476i q^{34} +(-4.36005 - 6.67245i) q^{35} +(-9.74461 - 5.56054i) q^{36} +(2.21714 + 3.84020i) q^{37} +(1.36967 + 2.37234i) q^{38} +(2.40362 + 5.76391i) q^{39} +(-10.8751 - 6.27874i) q^{40} +(-2.44169 + 4.22913i) q^{41} +(-8.19818 - 7.30248i) q^{42} +(1.21160 + 2.09856i) q^{43} +(-7.60305 - 4.38962i) q^{44} +(7.84979 + 4.47931i) q^{45} +(3.57222 - 6.18726i) q^{46} +(5.09681 - 8.82793i) q^{47} +(-4.19658 - 1.11311i) q^{48} +(-4.14651 - 5.63972i) q^{49} +(8.45684 + 4.88256i) q^{50} +(3.42771 + 12.6642i) q^{51} +(8.20712 + 10.6989i) q^{52} +(3.05667 - 1.76477i) q^{53} +(12.0488 + 3.13072i) q^{54} +(6.12466 + 3.53607i) q^{55} +(-9.84036 - 4.97886i) q^{56} +(-1.40390 - 1.39682i) q^{57} -9.57998 q^{58} +(0.286889 - 0.496906i) q^{59} +(18.8623 + 5.00306i) q^{60} +8.84729i q^{61} +(9.58931 - 16.6092i) q^{62} +(7.10035 + 3.54754i) q^{63} +10.5981 q^{64} +(-6.61126 - 8.61849i) q^{65} +(9.41569 + 2.49743i) q^{66} -2.27345 q^{67} +(14.1642 + 24.5331i) q^{68} +(-1.32421 + 4.99247i) q^{69} +(17.0392 + 8.62122i) q^{70} +(1.96371 - 1.13375i) q^{71} +(12.5047 - 0.0632330i) q^{72} +(0.346827 - 0.200241i) q^{73} +(-9.20032 - 5.31181i) q^{74} +(-6.82378 - 1.80995i) q^{75} +(-3.70322 - 2.13805i) q^{76} +(5.54191 + 2.80400i) q^{77} +(-11.8916 - 9.07977i) q^{78} +(6.63110 - 11.4854i) q^{79} +7.55169 q^{80} +(-8.99954 + 0.0910192i) q^{81} -11.6996i q^{82} +9.96949 q^{83} +(16.7824 + 3.47329i) q^{84} +(-11.4100 - 19.7627i) q^{85} +(-5.02771 - 2.90275i) q^{86} +(6.68534 - 1.80946i) q^{87} +9.78503 q^{88} +(1.37622 + 2.38369i) q^{89} +(-21.6527 + 0.109492i) q^{90} +(-6.21483 - 7.23712i) q^{91} +11.1525i q^{92} +(-3.55472 + 13.4019i) q^{93} +24.4218i q^{94} +(2.98313 + 1.72231i) q^{95} +(-3.89731 + 1.05485i) q^{96} +(7.47021 - 4.31293i) q^{97} +(15.3591 + 6.73432i) q^{98} +(-7.04240 + 0.0356117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07482 + 1.19790i −1.46712 + 0.847041i −0.999323 0.0367953i \(-0.988285\pi\)
−0.467796 + 0.883837i \(0.654952\pi\)
\(3\) 1.22164 1.22784i 0.705317 0.708892i
\(4\) 1.86992 3.23879i 0.934958 1.61939i
\(5\) −1.50632 + 2.60901i −0.673645 + 1.16679i 0.303218 + 0.952921i \(0.401939\pi\)
−0.976863 + 0.213866i \(0.931395\pi\)
\(6\) −1.06387 + 4.01095i −0.434322 + 1.63746i
\(7\) −1.19447 + 2.36077i −0.451465 + 0.892289i
\(8\) 4.16828i 1.47371i
\(9\) −0.0151701 2.99996i −0.00505668 0.999987i
\(10\) 7.21764i 2.28242i
\(11\) 2.34750i 0.707797i −0.935284 0.353899i \(-0.884856\pi\)
0.935284 0.353899i \(-0.115144\pi\)
\(12\) −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
\(15\) 1.36326 + 5.03680i 0.351993 + 1.30050i
\(16\) −1.25334 2.17085i −0.313334 0.542711i
\(17\) −3.78738 + 6.55994i −0.918575 + 1.59102i −0.116995 + 0.993133i \(0.537326\pi\)
−0.801581 + 0.597887i \(0.796007\pi\)
\(18\) 3.62512 + 6.20621i 0.854449 + 1.46282i
\(19\) 1.14340i 0.262313i −0.991362 0.131156i \(-0.958131\pi\)
0.991362 0.131156i \(-0.0418690\pi\)
\(20\) 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
\(23\) −2.58255 + 1.49104i −0.538499 + 0.310903i −0.744471 0.667655i \(-0.767298\pi\)
0.205971 + 0.978558i \(0.433965\pi\)
\(24\) 5.11797 + 5.09215i 1.04470 + 1.03943i
\(25\) −2.03797 3.52987i −0.407594 0.705974i
\(26\) −1.12629 8.56442i −0.220884 1.67962i
\(27\) −3.70200 3.64626i −0.712450 0.701723i
\(28\) 5.41250 + 8.28307i 1.02287 + 1.56535i
\(29\) 3.46295 + 1.99933i 0.643053 + 0.371267i 0.785790 0.618494i \(-0.212257\pi\)
−0.142737 + 0.989761i \(0.545590\pi\)
\(30\) −8.86209 8.81739i −1.61799 1.60983i
\(31\) −6.93264 + 4.00256i −1.24514 + 0.718881i −0.970136 0.242562i \(-0.922012\pi\)
−0.275003 + 0.961443i \(0.588679\pi\)
\(32\) −2.01877 1.16554i −0.356872 0.206040i
\(33\) −2.88235 2.86781i −0.501752 0.499221i
\(34\) 18.1476i 3.11229i
\(35\) −4.36005 6.67245i −0.736983 1.12785i
\(36\) −9.74461 5.56054i −1.62410 0.926757i
\(37\) 2.21714 + 3.84020i 0.364495 + 0.631324i 0.988695 0.149940i \(-0.0479082\pi\)
−0.624200 + 0.781265i \(0.714575\pi\)
\(38\) 1.36967 + 2.37234i 0.222190 + 0.384844i
\(39\) 2.40362 + 5.76391i 0.384887 + 0.922964i
\(40\) −10.8751 6.27874i −1.71950 0.992756i
\(41\) −2.44169 + 4.22913i −0.381327 + 0.660478i −0.991252 0.131981i \(-0.957866\pi\)
0.609925 + 0.792459i \(0.291200\pi\)
\(42\) −8.19818 7.30248i −1.26501 1.12680i
\(43\) 1.21160 + 2.09856i 0.184768 + 0.320027i 0.943498 0.331378i \(-0.107513\pi\)
−0.758731 + 0.651405i \(0.774180\pi\)
\(44\) −7.60305 4.38962i −1.14620 0.661761i
\(45\) 7.84979 + 4.47931i 1.17018 + 0.667736i
\(46\) 3.57222 6.18726i 0.526695 0.912262i
\(47\) 5.09681 8.82793i 0.743445 1.28769i −0.207472 0.978241i \(-0.566524\pi\)
0.950918 0.309444i \(-0.100143\pi\)
\(48\) −4.19658 1.11311i −0.605724 0.160663i
\(49\) −4.14651 5.63972i −0.592358 0.805675i
\(50\) 8.45684 + 4.88256i 1.19598 + 0.690498i
\(51\) 3.42771 + 12.6642i 0.479975 + 1.77334i
\(52\) 8.20712 + 10.6989i 1.13812 + 1.48367i
\(53\) 3.05667 1.76477i 0.419866 0.242410i −0.275154 0.961400i \(-0.588729\pi\)
0.695020 + 0.718990i \(0.255396\pi\)
\(54\) 12.0488 + 3.13072i 1.63964 + 0.426036i
\(55\) 6.12466 + 3.53607i 0.825849 + 0.476804i
\(56\) −9.84036 4.97886i −1.31497 0.665329i
\(57\) −1.40390 1.39682i −0.185952 0.185014i
\(58\) −9.57998 −1.25791
\(59\) 0.286889 0.496906i 0.0373497 0.0646916i −0.846746 0.531997i \(-0.821442\pi\)
0.884096 + 0.467305i \(0.154775\pi\)
\(60\) 18.8623 + 5.00306i 2.43511 + 0.645893i
\(61\) 8.84729i 1.13278i 0.824138 + 0.566389i \(0.191660\pi\)
−0.824138 + 0.566389i \(0.808340\pi\)
\(62\) 9.58931 16.6092i 1.21784 2.10937i
\(63\) 7.10035 + 3.54754i 0.894560 + 0.446948i
\(64\) 10.5981 1.32477
\(65\) −6.61126 8.61849i −0.820026 1.06899i
\(66\) 9.41569 + 2.49743i 1.15899 + 0.307412i
\(67\) −2.27345 −0.277746 −0.138873 0.990310i \(-0.544348\pi\)
−0.138873 + 0.990310i \(0.544348\pi\)
\(68\) 14.1642 + 24.5331i 1.71766 + 2.97507i
\(69\) −1.32421 + 4.99247i −0.159416 + 0.601023i
\(70\) 17.0392 + 8.62122i 2.03658 + 1.03043i
\(71\) 1.96371 1.13375i 0.233050 0.134551i −0.378929 0.925426i \(-0.623707\pi\)
0.611978 + 0.790875i \(0.290374\pi\)
\(72\) 12.5047 0.0632330i 1.47369 0.00745208i
\(73\) 0.346827 0.200241i 0.0405930 0.0234364i −0.479566 0.877506i \(-0.659206\pi\)
0.520159 + 0.854069i \(0.325873\pi\)
\(74\) −9.20032 5.31181i −1.06952 0.617485i
\(75\) −6.82378 1.80995i −0.787942 0.208995i
\(76\) −3.70322 2.13805i −0.424788 0.245251i
\(77\) 5.54191 + 2.80400i 0.631560 + 0.319546i
\(78\) −11.8916 9.07977i −1.34646 1.02808i
\(79\) 6.63110 11.4854i 0.746057 1.29221i −0.203642 0.979045i \(-0.565278\pi\)
0.949699 0.313163i \(-0.101389\pi\)
\(80\) 7.55169 0.844304
\(81\) −8.99954 + 0.0910192i −0.999949 + 0.0101132i
\(82\) 11.6996i 1.29200i
\(83\) 9.96949 1.09429 0.547147 0.837037i \(-0.315714\pi\)
0.547147 + 0.837037i \(0.315714\pi\)
\(84\) 16.7824 + 3.47329i 1.83111 + 0.378967i
\(85\) −11.4100 19.7627i −1.23759 2.14356i
\(86\) −5.02771 2.90275i −0.542152 0.313012i
\(87\) 6.68534 1.80946i 0.716744 0.193995i
\(88\) 9.78503 1.04309
\(89\) 1.37622 + 2.38369i 0.145879 + 0.252670i 0.929701 0.368316i \(-0.120066\pi\)
−0.783821 + 0.620986i \(0.786732\pi\)
\(90\) −21.6527 + 0.109492i −2.28239 + 0.0115415i
\(91\) −6.21483 7.23712i −0.651492 0.758656i
\(92\) 11.1525i 1.16272i
\(93\) −3.55472 + 13.4019i −0.368608 + 1.38971i
\(94\) 24.4218i 2.51892i
\(95\) 2.98313 + 1.72231i 0.306063 + 0.176706i
\(96\) −3.89731 + 1.05485i −0.397768 + 0.107660i
\(97\) 7.47021 4.31293i 0.758484 0.437911i −0.0702669 0.997528i \(-0.522385\pi\)
0.828751 + 0.559617i \(0.189052\pi\)
\(98\) 15.3591 + 6.73432i 1.55150 + 0.680269i
\(99\) −7.04240 + 0.0356117i −0.707788 + 0.00357911i
\(100\) −15.2433 −1.52433
\(101\) 14.9319 1.48578 0.742891 0.669412i \(-0.233454\pi\)
0.742891 + 0.669412i \(0.233454\pi\)
\(102\) −22.2823 22.1699i −2.20628 2.19515i
\(103\) 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
\(107\) 0.763238 0.440656i 0.0737850 0.0425998i −0.462654 0.886539i \(-0.653103\pi\)
0.536439 + 0.843939i \(0.319769\pi\)
\(108\) −18.7319 + 5.17179i −1.80248 + 0.497656i
\(109\) −5.12018 8.86840i −0.490424 0.849439i 0.509515 0.860462i \(-0.329825\pi\)
−0.999939 + 0.0110224i \(0.996491\pi\)
\(110\) −16.9434 −1.61549
\(111\) 7.42369 + 1.96907i 0.704626 + 0.186896i
\(112\) 6.62194 0.365849i 0.625715 0.0345695i
\(113\) −2.35913 + 1.36205i −0.221929 + 0.128131i −0.606843 0.794822i \(-0.707564\pi\)
0.384914 + 0.922952i \(0.374231\pi\)
\(114\) 4.58610 + 1.21642i 0.429527 + 0.113928i
\(115\) 8.98389i 0.837752i
\(116\) 12.9508 7.47717i 1.20245 0.694237i
\(117\) 10.0135 + 4.09019i 0.925749 + 0.378138i
\(118\) 1.37465i 0.126547i
\(119\) −10.9626 16.7768i −1.00494 1.53792i
\(120\) −20.9948 + 5.68247i −1.91655 + 0.518736i
\(121\) 5.48925 0.499023
\(122\) −10.5981 18.3565i −0.959510 1.66192i
\(123\) 2.20981 + 8.16448i 0.199252 + 0.736167i
\(124\) 29.9378i 2.68849i
\(125\) −2.78385 −0.248995
\(126\) −18.9815 + 1.14500i −1.69101 + 0.102004i
\(127\) −2.28093 + 3.95069i −0.202400 + 0.350567i −0.949301 0.314368i \(-0.898207\pi\)
0.746901 + 0.664935i \(0.231541\pi\)
\(128\) −17.9517 + 10.3644i −1.58672 + 0.916092i
\(129\) 4.05683 + 1.07604i 0.357184 + 0.0947400i
\(130\) 24.0412 + 9.96220i 2.10856 + 0.873743i
\(131\) 3.29835 5.71291i 0.288178 0.499139i −0.685197 0.728358i \(-0.740284\pi\)
0.973375 + 0.229219i \(0.0736172\pi\)
\(132\) −14.6780 + 3.97275i −1.27755 + 0.345784i
\(133\) 2.69930 + 1.36575i 0.234059 + 0.118425i
\(134\) 4.71699 2.72335i 0.407486 0.235262i
\(135\) 15.0895 4.16615i 1.29870 0.358565i
\(136\) −27.3437 15.7869i −2.34470 1.35371i
\(137\) 2.62090 + 1.51318i 0.223919 + 0.129280i 0.607763 0.794118i \(-0.292067\pi\)
−0.383845 + 0.923398i \(0.625400\pi\)
\(138\) −3.23297 11.9447i −0.275209 1.01680i
\(139\) −13.5658 + 7.83223i −1.15064 + 0.664321i −0.949042 0.315148i \(-0.897946\pi\)
−0.201595 + 0.979469i \(0.564612\pi\)
\(140\) −29.7636 + 1.64438i −2.51548 + 0.138975i
\(141\) −4.61278 17.0426i −0.388466 1.43525i
\(142\) −2.71623 + 4.70465i −0.227941 + 0.394805i
\(143\) 7.81928 + 3.24015i 0.653881 + 0.270955i
\(144\) −6.49344 + 3.79290i −0.541120 + 0.316075i
\(145\) −10.4326 + 6.02325i −0.866378 + 0.500204i
\(146\) −0.479735 + 0.830926i −0.0397032 + 0.0687679i
\(147\) −11.9902 1.79850i −0.988937 0.148338i
\(148\) 16.5834 1.36315
\(149\) 7.05282i 0.577789i 0.957361 + 0.288895i \(0.0932877\pi\)
−0.957361 + 0.288895i \(0.906712\pi\)
\(150\) 16.3262 4.41888i 1.33303 0.360800i
\(151\) 3.71789 + 6.43958i 0.302558 + 0.524046i 0.976715 0.214543i \(-0.0688261\pi\)
−0.674157 + 0.738588i \(0.735493\pi\)
\(152\) 4.76599 0.386573
\(153\) 19.7370 + 11.2625i 1.59564 + 0.910518i
\(154\) −14.8574 + 0.820840i −1.19724 + 0.0661452i
\(155\) 24.1165i 1.93708i
\(156\) 23.1626 + 2.99320i 1.85450 + 0.239647i
\(157\) −17.9506 + 10.3638i −1.43261 + 0.827120i −0.997320 0.0731686i \(-0.976689\pi\)
−0.435294 + 0.900288i \(0.643356\pi\)
\(158\) 31.7735i 2.52776i
\(159\) 1.56731 5.90902i 0.124296 0.468615i
\(160\) 6.08181 3.51134i 0.480809 0.277595i
\(161\) −0.435233 7.87781i −0.0343012 0.620859i
\(162\) 18.5634 10.9694i 1.45848 0.861835i
\(163\) 3.17023 0.248312 0.124156 0.992263i \(-0.460378\pi\)
0.124156 + 0.992263i \(0.460378\pi\)
\(164\) 9.13150 + 15.8162i 0.713050 + 1.23504i
\(165\) 11.8239 3.20026i 0.920487 0.249140i
\(166\) −20.6849 + 11.9424i −1.60546 + 0.926912i
\(167\) −2.15047 + 3.72473i −0.166409 + 0.288228i −0.937155 0.348914i \(-0.886550\pi\)
0.770746 + 0.637142i \(0.219884\pi\)
\(168\) −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
\(171\) −3.43014 + 0.0173454i −0.262309 + 0.00132643i
\(172\) 9.06238 0.691000
\(173\) −19.6184 −1.49156 −0.745780 0.666192i \(-0.767923\pi\)
−0.745780 + 0.666192i \(0.767923\pi\)
\(174\) −11.7033 + 11.7627i −0.887227 + 0.891725i
\(175\) 10.7675 0.594883i 0.813947 0.0449689i
\(176\) −5.09605 + 2.94221i −0.384130 + 0.221777i
\(177\) −0.259644 0.959295i −0.0195160 0.0721050i
\(178\) −5.71082 3.29714i −0.428044 0.247131i
\(179\) 10.1694i 0.760096i 0.924967 + 0.380048i \(0.124092\pi\)
−0.924967 + 0.380048i \(0.875908\pi\)
\(180\) 29.1860 17.0479i 2.17540 1.27068i
\(181\) 17.9244i 1.33231i −0.745813 0.666155i \(-0.767939\pi\)
0.745813 0.666155i \(-0.232061\pi\)
\(182\) 21.5640 + 7.57097i 1.59843 + 0.561198i
\(183\) 10.8630 + 10.8082i 0.803018 + 0.798968i
\(184\) −6.21506 10.7648i −0.458180 0.793591i
\(185\) −13.3588 −0.982161
\(186\) −8.67864 32.0646i −0.636349 2.35109i
\(187\) 15.3994 + 8.89088i 1.12612 + 0.650165i
\(188\) −19.0612 33.0150i −1.39018 2.40786i
\(189\) 13.0299 4.38425i 0.947786 0.318907i
\(190\) −8.25262 −0.598708
\(191\) 3.48947i 0.252489i 0.991999 + 0.126245i \(0.0402924\pi\)
−0.991999 + 0.126245i \(0.959708\pi\)
\(192\) 12.9471 13.0128i 0.934380 0.939117i
\(193\) −6.59075 −0.474412 −0.237206 0.971459i \(-0.576232\pi\)
−0.237206 + 0.971459i \(0.576232\pi\)
\(194\) −10.3329 + 17.8971i −0.741858 + 1.28494i
\(195\) −18.6587 2.41118i −1.33618 0.172668i
\(196\) −26.0195 + 2.88385i −1.85854 + 0.205989i
\(197\) 18.2907 + 10.5602i 1.30316 + 0.752380i 0.980945 0.194286i \(-0.0622390\pi\)
0.322216 + 0.946666i \(0.395572\pi\)
\(198\) 14.5691 8.50996i 1.03538 0.604777i
\(199\) −1.50456 0.868657i −0.106655 0.0615775i 0.445723 0.895171i \(-0.352946\pi\)
−0.552379 + 0.833593i \(0.686280\pi\)
\(200\) 14.7135 8.49483i 1.04040 0.600675i
\(201\) −2.77734 + 2.79142i −0.195899 + 0.196892i
\(202\) −30.9811 + 17.8869i −2.17982 + 1.25852i
\(203\) −8.85634 + 5.78710i −0.621593 + 0.406175i
\(204\) 47.4262 + 12.5794i 3.32050 + 0.880733i
\(205\) −7.35590 12.7408i −0.513758 0.889856i
\(206\) −23.0833 −1.60829
\(207\) 4.51223 + 7.72494i 0.313622 + 0.536920i
\(208\) 8.96079 1.17842i 0.621319 0.0817087i
\(209\) −2.68412 −0.185664
\(210\) 31.4013 10.3893i 2.16690 0.716932i
\(211\) 2.76341 4.78637i 0.190241 0.329507i −0.755089 0.655622i \(-0.772406\pi\)
0.945330 + 0.326115i \(0.105740\pi\)
\(212\) 13.1999i 0.906572i
\(213\) 1.00690 3.79616i 0.0689914 0.260108i
\(214\) −1.05572 + 1.82856i −0.0721675 + 0.124998i
\(215\) −7.30022 −0.497871
\(216\) 15.1986 15.4310i 1.03414 1.04994i
\(217\) −1.16835 21.1473i −0.0793125 1.43557i
\(218\) 21.2469 + 12.2669i 1.43902 + 0.830819i
\(219\) 0.177836 0.670470i 0.0120171 0.0453061i
\(220\) 22.9052 13.2243i 1.54427 0.891583i
\(221\) −16.6229 21.6698i −1.11818 1.45767i
\(222\) −17.7616 + 4.80736i −1.19208 + 0.322649i
\(223\) 12.4756 + 7.20276i 0.835425 + 0.482333i 0.855706 0.517462i \(-0.173123\pi\)
−0.0202817 + 0.999794i \(0.506456\pi\)
\(224\) 5.16292 3.37367i 0.344962 0.225413i
\(225\) −10.5586 + 6.16738i −0.703904 + 0.411159i
\(226\) 3.26318 5.65200i 0.217064 0.375965i
\(227\) −0.0681727 + 0.118079i −0.00452478 + 0.00783716i −0.868279 0.496076i \(-0.834774\pi\)
0.863754 + 0.503913i \(0.168107\pi\)
\(228\) −7.14919 + 1.93501i −0.473467 + 0.128149i
\(229\) 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
\(231\) 10.2131 3.37907i 0.671973 0.222327i
\(232\) −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 \(0.821791\pi\)
\(234\) −25.6758 + 3.50876i −1.67848 + 0.229375i
\(235\) 15.3548 + 26.5953i 1.00164 + 1.73488i
\(236\) −1.07292 1.85834i −0.0698408 0.120968i
\(237\) −6.00136 22.1730i −0.389830 1.44029i
\(238\) 42.8423 + 21.6767i 2.77706 + 1.40509i
\(239\) 17.4646i 1.12969i 0.825197 + 0.564846i \(0.191064\pi\)
−0.825197 + 0.564846i \(0.808936\pi\)
\(240\) 9.22548 9.27225i 0.595502 0.598521i
\(241\) 11.8945 + 6.86729i 0.766191 + 0.442361i 0.831514 0.555503i \(-0.187474\pi\)
−0.0653229 + 0.997864i \(0.520808\pi\)
\(242\) −11.3892 + 6.57556i −0.732126 + 0.422693i
\(243\) −10.8825 + 11.1612i −0.698111 + 0.715989i
\(244\) 28.6545 + 16.5437i 1.83442 + 1.05910i
\(245\) 20.9601 2.32309i 1.33909 0.148417i
\(246\) −14.3652 14.2927i −0.915889 0.911269i
\(247\) 3.80853 + 1.57818i 0.242331 + 0.100417i
\(248\) −16.6838 28.8972i −1.05942 1.83497i
\(249\) 12.1792 12.2409i 0.771823 0.775736i
\(250\) 5.77598 3.33476i 0.365305 0.210909i
\(251\) 14.5439 + 25.1908i 0.918003 + 1.59003i 0.802444 + 0.596727i \(0.203533\pi\)
0.115559 + 0.993301i \(0.463134\pi\)
\(252\) 24.7668 16.3629i 1.56016 1.03077i
\(253\) 3.50021 + 6.06254i 0.220056 + 0.381148i
\(254\) 10.9293i 0.685764i
\(255\) −38.2043 10.1334i −2.39245 0.634575i
\(256\) 14.2328 24.6520i 0.889552 1.54075i
\(257\) −0.282446 0.489211i −0.0176185 0.0305162i 0.857082 0.515180i \(-0.172275\pi\)
−0.874700 + 0.484664i \(0.838942\pi\)
\(258\) −9.70618 + 2.62708i −0.604280 + 0.163555i
\(259\) −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
\(262\) 15.8043i 0.976395i
\(263\) 20.9124i 1.28951i 0.764389 + 0.644756i \(0.223041\pi\)
−0.764389 + 0.644756i \(0.776959\pi\)
\(264\) 11.9538 12.0144i 0.735707 0.739437i
\(265\) 10.6332i 0.653192i
\(266\) −7.23658 + 0.399806i −0.443703 + 0.0245137i
\(267\) 4.60803 + 1.22224i 0.282007 + 0.0747999i
\(268\) −4.25115 + 7.36321i −0.259680 + 0.449780i
\(269\) −7.93982 + 13.7522i −0.484099 + 0.838485i −0.999833 0.0182640i \(-0.994186\pi\)
0.515734 + 0.856749i \(0.327519\pi\)
\(270\) −26.3174 + 26.7197i −1.60163 + 1.62611i
\(271\) 5.18862 2.99565i 0.315186 0.181973i −0.334059 0.942552i \(-0.608418\pi\)
0.649245 + 0.760580i \(0.275085\pi\)
\(272\) 18.9875 1.15129
\(273\) −16.4783 1.21038i −0.997313 0.0732554i
\(274\) −7.25053 −0.438020
\(275\) −8.28636 + 4.78413i −0.499686 + 0.288494i
\(276\) 13.6934 + 13.6243i 0.824246 + 0.820089i
\(277\) −14.3659 + 24.8824i −0.863160 + 1.49504i 0.00570199 + 0.999984i \(0.498185\pi\)
−0.868862 + 0.495054i \(0.835148\pi\)
\(278\) 18.7644 32.5009i 1.12541 1.94927i
\(279\) 12.1127 + 20.7369i 0.725168 + 1.24149i
\(280\) 27.8126 18.1739i 1.66212 1.08610i
\(281\) 13.6303i 0.813117i −0.913625 0.406558i \(-0.866729\pi\)
0.913625 0.406558i \(-0.133271\pi\)
\(282\) 29.9860 + 29.8348i 1.78564 + 1.77663i
\(283\) 27.7574i 1.65001i −0.565128 0.825003i \(-0.691173\pi\)
0.565128 0.825003i \(-0.308827\pi\)
\(284\) 8.48006i 0.503199i
\(285\) 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
\(288\) −3.46595 + 6.07392i −0.204233 + 0.357909i
\(289\) −20.1885 34.9676i −1.18756 2.05692i
\(290\) 14.4305 24.9943i 0.847386 1.46772i
\(291\) 3.83036 14.4411i 0.224540 0.846550i
\(292\) 1.49773i 0.0876481i
\(293\) −4.84856 8.39795i −0.283256 0.490614i 0.688929 0.724829i \(-0.258081\pi\)
−0.972185 + 0.234215i \(0.924748\pi\)
\(294\) 27.0320 10.6315i 1.57654 0.620041i
\(295\) 0.864289 + 1.49699i 0.0503209 + 0.0871583i
\(296\) −16.0070 + 9.24165i −0.930389 + 0.537160i
\(297\) −8.55959 + 8.69043i −0.496678 + 0.504270i
\(298\) −8.44855 14.6333i −0.489411 0.847685i
\(299\) −1.40191 10.6602i −0.0810746 0.616497i
\(300\) −18.6219 + 18.7163i −1.07514 + 1.08059i
\(301\) −6.40144 + 0.353666i −0.368973 + 0.0203850i
\(302\) −15.4279 8.90731i −0.887777 0.512558i
\(303\) 18.2415 18.3340i 1.04795 1.05326i
\(304\) −2.48213 + 1.43306i −0.142360 + 0.0821917i
\(305\) −23.0827 13.3268i −1.32171 0.763090i
\(306\) −54.4421 + 0.275300i −3.11225 + 0.0157378i
\(307\) 31.6343i 1.80546i 0.430203 + 0.902732i \(0.358442\pi\)
−0.430203 + 0.902732i \(0.641558\pi\)
\(308\) 19.4445 12.7058i 1.10795 0.723982i
\(309\) 16.1086 4.35997i 0.916386 0.248030i
\(310\) 28.8891 + 50.0373i 1.64079 + 2.84193i
\(311\) 7.62664 + 13.2097i 0.432467 + 0.749055i 0.997085 0.0762977i \(-0.0243099\pi\)
−0.564618 + 0.825352i \(0.690977\pi\)
\(312\) −24.0256 + 10.0190i −1.36018 + 0.567212i
\(313\) −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
\(315\) −19.9509 + 13.1812i −1.12411 + 0.742677i
\(316\) −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 \(0.996291\pi\)
\(318\) 3.82650 + 14.1376i 0.214580 + 0.792798i
\(319\) 4.69343 8.12926i 0.262782 0.455151i
\(320\) −15.9641 + 27.6507i −0.892422 + 1.54572i
\(321\) 0.391352 1.47546i 0.0218431 0.0823519i
\(322\) 10.3398 + 15.8237i 0.576217 + 0.881819i
\(323\) 7.50060 + 4.33048i 0.417345 + 0.240954i
\(324\) −16.5336 + 29.3178i −0.918533 + 1.62877i
\(325\) 14.5706 1.91615i 0.808229 0.106289i
\(326\) −6.57766 + 3.79761i −0.364303 + 0.210330i
\(327\) −17.1440 4.54729i −0.948065 0.251466i
\(328\) −17.6282 10.1776i −0.973353 0.561966i
\(329\) 14.7528 + 22.5771i 0.813347 + 1.24471i
\(330\) −20.6988 + 20.8037i −1.13943 + 1.14521i
\(331\) −17.4145 −0.957187 −0.478594 0.878037i \(-0.658853\pi\)
−0.478594 + 0.878037i \(0.658853\pi\)
\(332\) 18.6421 32.2891i 1.02312 1.77209i
\(333\) 11.4868 6.70959i 0.629473 0.367683i
\(334\) 10.3042i 0.563820i
\(335\) 3.42453 5.93145i 0.187102 0.324070i
\(336\) 7.64046 8.57761i 0.416821 0.467947i
\(337\) 19.3854 1.05599 0.527996 0.849247i \(-0.322944\pi\)
0.527996 + 0.849247i \(0.322944\pi\)
\(338\) 30.0818 + 8.06952i 1.63623 + 0.438924i
\(339\) −1.20965 + 4.56057i −0.0656992 + 0.247696i
\(340\) −85.3429 −4.62837
\(341\) 9.39600 + 16.2744i 0.508822 + 0.881306i
\(342\) 7.09614 4.14495i 0.383716 0.224133i
\(343\) 18.2670 3.05251i 0.986324 0.164820i
\(344\) −8.74737 + 5.05030i −0.471627 + 0.272294i
\(345\) −11.0308 10.9751i −0.593876 0.590880i
\(346\) 40.7046 23.5008i 2.18830 1.26341i
\(347\) −0.0841770 0.0485996i −0.00451886 0.00260897i 0.497739 0.867327i \(-0.334164\pi\)
−0.502258 + 0.864718i \(0.667497\pi\)
\(348\) 6.64057 25.0360i 0.355972 1.34207i
\(349\) 16.6421 + 9.60835i 0.890834 + 0.514323i 0.874215 0.485539i \(-0.161377\pi\)
0.0166187 + 0.999862i \(0.494710\pi\)
\(350\) −21.6280 + 14.1326i −1.15607 + 0.755421i
\(351\) 17.2550 7.29821i 0.921005 0.389550i
\(352\) −2.73610 + 4.73906i −0.145835 + 0.252593i
\(353\) 2.34768 0.124955 0.0624773 0.998046i \(-0.480100\pi\)
0.0624773 + 0.998046i \(0.480100\pi\)
\(354\) 1.68785 + 1.67934i 0.0897082 + 0.0892557i
\(355\) 6.83113i 0.362559i
\(356\) 10.2937 0.545564
\(357\) −33.9916 7.03491i −1.79903 0.372327i
\(358\) −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 \(0.625235\pi\)
\(360\) −18.6710 + 32.7201i −0.984048 + 1.72450i
\(361\) 17.6926 0.931192
\(362\) 21.4716 + 37.1899i 1.12852 + 1.95466i
\(363\) 6.70591 6.73991i 0.351969 0.353754i
\(364\) −35.0607 + 6.59573i −1.83768 + 0.345710i
\(365\) 1.20650i 0.0631512i
\(366\) −35.4860 9.41234i −1.85488 0.491991i
\(367\) 5.24786i 0.273936i −0.990575 0.136968i \(-0.956264\pi\)
0.990575 0.136968i \(-0.0437357\pi\)
\(368\) 6.47362 + 3.73755i 0.337461 + 0.194833i
\(369\) 12.7243 + 7.26081i 0.662398 + 0.377983i
\(370\) 27.7172 16.0025i 1.44095 0.831931i
\(371\) 0.515136 + 9.32406i 0.0267445 + 0.484081i
\(372\) 36.7588 + 36.5733i 1.90585 + 1.89624i
\(373\) 32.3322 1.67410 0.837050 0.547127i \(-0.184279\pi\)
0.837050 + 0.547127i \(0.184279\pi\)
\(374\) −42.6014 −2.20287
\(375\) −3.40087 + 3.41811i −0.175620 + 0.176511i
\(376\) 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 −0.805687 0.592341i \(-0.798204\pi\)
0.915826 + 0.401575i \(0.131537\pi\)
\(380\) 11.1564 6.44116i 0.572312 0.330425i
\(381\) 2.06432 + 7.62694i 0.105758 + 0.390740i
\(382\) −4.18003 7.24002i −0.213869 0.370432i
\(383\) 16.2502 0.830344 0.415172 0.909743i \(-0.363721\pi\)
0.415172 + 0.909743i \(0.363721\pi\)
\(384\) −9.20475 + 34.7033i −0.469728 + 1.77095i
\(385\) −15.6636 + 10.2352i −0.798289 + 0.521635i
\(386\) 13.6746 7.89504i 0.696019 0.401847i
\(387\) 6.27721 3.66660i 0.319089 0.186384i
\(388\) 32.2592i 1.63771i
\(389\) −8.08628 + 4.66861i −0.409990 + 0.236708i −0.690786 0.723060i \(-0.742735\pi\)
0.280795 + 0.959768i \(0.409402\pi\)
\(390\) 41.6018 17.3485i 2.10659 0.878474i
\(391\) 22.5885i 1.14235i
\(392\) 23.5079 17.2838i 1.18733 0.872963i
\(393\) −2.98511 11.0290i −0.150579 0.556338i
\(394\) −50.5999 −2.54919
\(395\) 19.9770 + 34.6013i 1.00515 + 1.74098i
\(396\) −13.0534 + 22.8755i −0.655956 + 1.14953i
\(397\) 0.252860i 0.0126907i −0.999980 0.00634534i \(-0.997980\pi\)
0.999980 0.00634534i \(-0.00201980\pi\)
\(398\) 4.16225 0.208635
\(399\) 4.97450 1.64584i 0.249036 0.0823952i
\(400\) −5.10853 + 8.84824i −0.255427 + 0.442412i
\(401\) 16.3381 9.43281i 0.815886 0.471052i −0.0331096 0.999452i \(-0.510541\pi\)
0.848996 + 0.528400i \(0.177208\pi\)
\(402\) 2.41865 9.11867i 0.120631 0.454798i
\(403\) −3.76331 28.6165i −0.187464 1.42549i
\(404\) 27.9215 48.3614i 1.38914 2.40607i
\(405\) 13.3187 23.6170i 0.661810 1.17354i
\(406\) 11.4430 22.6162i 0.567904 1.12242i
\(407\) 9.01485 5.20473i 0.446850 0.257989i
\(408\) −52.7879 + 14.2876i −2.61339 + 0.707343i
\(409\) 6.85196 + 3.95598i 0.338808 + 0.195611i 0.659745 0.751490i \(-0.270664\pi\)
−0.320937 + 0.947101i \(0.603998\pi\)
\(410\) 30.5243 + 17.6232i 1.50749 + 0.870349i
\(411\) 5.05975 1.36948i 0.249579 0.0675513i
\(412\) 31.2055 18.0165i 1.53739 0.887611i
\(413\) 0.830404 + 1.27082i 0.0408615 + 0.0625328i
\(414\) −18.6157 10.6227i −0.914914 0.522075i
\(415\) −15.0172 + 26.0105i −0.737165 + 1.27681i
\(416\) 6.66871 5.11558i 0.326961 0.250812i
\(417\) −6.95590 + 26.2248i −0.340632 + 1.28423i
\(418\) 5.56906 3.21530i 0.272392 0.157265i
\(419\) −3.20858 + 5.55742i −0.156749 + 0.271498i −0.933695 0.358070i \(-0.883435\pi\)
0.776945 + 0.629568i \(0.216768\pi\)
\(420\) −34.3415 + 38.5537i −1.67569 + 1.88123i
\(421\) −27.2075 −1.32601 −0.663007 0.748614i \(-0.730720\pi\)
−0.663007 + 0.748614i \(0.730720\pi\)
\(422\) 13.2411i 0.644568i
\(423\) −26.5608 15.1563i −1.29143 0.736925i
\(424\) 7.35605 + 12.7411i 0.357241 + 0.618760i
\(425\) 30.8743 1.49762
\(426\) 2.45828 + 9.08249i 0.119104 + 0.440048i
\(427\) −20.8864 10.5678i −1.01077 0.511410i
\(428\) 3.29595i 0.159316i
\(429\) 13.5308 5.64250i 0.653271 0.272422i
\(430\) 15.1466 8.74491i 0.730436 0.421717i
\(431\) 22.5863i 1.08794i −0.839104 0.543971i \(-0.816920\pi\)
0.839104 0.543971i \(-0.183080\pi\)
\(432\) −3.27561 + 12.6065i −0.157598 + 0.606529i
\(433\) 23.8203 13.7527i 1.14473 0.660910i 0.197133 0.980377i \(-0.436837\pi\)
0.947598 + 0.319466i \(0.103504\pi\)
\(434\) 27.7564 + 42.4773i 1.33235 + 2.03897i
\(435\) −5.34932 + 20.1678i −0.256480 + 0.966971i
\(436\) −38.2972 −1.83410
\(437\) 1.70484 + 2.95288i 0.0815538 + 0.141255i
\(438\) 0.434176 + 1.60413i 0.0207457 + 0.0766484i
\(439\) −23.3450 + 13.4782i −1.11419 + 0.643280i −0.939913 0.341415i \(-0.889094\pi\)
−0.174282 + 0.984696i \(0.555760\pi\)
\(440\) −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 \(0.765741\pi\)
\(444\) 20.2591 20.3618i 0.961453 0.966327i
\(445\) −8.29209 −0.393083
\(446\) −34.5127 −1.63422
\(447\) 8.65971 + 8.61603i 0.409590 + 0.407524i
\(448\) −12.6591 + 25.0198i −0.598086 + 1.18207i
\(449\) −15.3399 + 8.85649i −0.723934 + 0.417964i −0.816199 0.577771i \(-0.803923\pi\)
0.0922648 + 0.995735i \(0.470589\pi\)
\(450\) 14.5192 25.4443i 0.684442 1.19945i
\(451\) 9.92786 + 5.73186i 0.467485 + 0.269903i
\(452\) 10.1876i 0.479187i
\(453\) 12.4487 + 3.30191i 0.584891 + 0.155137i
\(454\) 0.326656i 0.0153307i
\(455\) 28.2432 5.31321i 1.32406 0.249087i
\(456\) 5.82234 5.85186i 0.272656 0.274038i
\(457\) 13.4963 + 23.3762i 0.631329 + 1.09349i 0.987280 + 0.158989i \(0.0508235\pi\)
−0.355952 + 0.934504i \(0.615843\pi\)
\(458\) −1.44211 −0.0673854
\(459\) 37.9401 10.4751i 1.77089 0.488936i
\(460\) −29.0969 16.7991i −1.35665 0.783263i
\(461\) −9.02803 15.6370i −0.420477 0.728288i 0.575509 0.817795i \(-0.304804\pi\)
−0.995986 + 0.0895077i \(0.971471\pi\)
\(462\) −17.1426 + 19.2452i −0.797544 + 0.895368i
\(463\) −7.75112 −0.360225 −0.180113 0.983646i \(-0.557646\pi\)
−0.180113 + 0.983646i \(0.557646\pi\)
\(464\) 10.0234i 0.465323i
\(465\) −29.6111 29.4617i −1.37318 1.36626i
\(466\) 34.2498 1.58659
\(467\) 9.49821 16.4514i 0.439525 0.761279i −0.558128 0.829755i \(-0.688480\pi\)
0.997653 + 0.0684756i \(0.0218135\pi\)
\(468\) 31.9717 24.7833i 1.47789 1.14561i
\(469\) 2.71555 5.36709i 0.125393 0.247829i
\(470\) −63.7168 36.7869i −2.93904 1.69685i
\(471\) −9.20420 + 34.7013i −0.424107 + 1.59895i
\(472\) 2.07124 + 1.19583i 0.0953366 + 0.0550426i
\(473\) 4.92636 2.84423i 0.226514 0.130778i
\(474\) 39.0127 + 38.8159i 1.79191 + 1.78287i
\(475\) −4.03603 + 2.33021i −0.185186 + 0.106917i
\(476\) −74.8357 + 4.13452i −3.43009 + 0.189505i
\(477\) −5.34061 9.14312i −0.244530 0.418635i
\(478\) −20.9208 36.2359i −0.956895 1.65739i
\(479\) −10.6100 −0.484783 −0.242391 0.970179i \(-0.577932\pi\)
−0.242391 + 0.970179i \(0.577932\pi\)
\(480\) 3.11846 11.7571i 0.142338 0.536635i
\(481\) −15.8515 + 2.08461i −0.722768 + 0.0950500i
\(482\) −32.9052 −1.49879
\(483\) −10.2044 9.08949i −0.464315 0.413586i
\(484\) 10.2644 17.7785i 0.466565 0.808115i
\(485\) 25.9865i 1.17999i
\(486\) 9.20925 36.1935i 0.417740 1.64177i
\(487\) 17.1496 29.7040i 0.777124 1.34602i −0.156470 0.987683i \(-0.550011\pi\)
0.933593 0.358335i \(-0.116655\pi\)
\(488\) −36.8779 −1.66939
\(489\) 3.87290 3.89253i 0.175138 0.176026i
\(490\) −40.7055 + 29.9280i −1.83889 + 1.35201i
\(491\) 13.6044 + 7.85449i 0.613957 + 0.354468i 0.774512 0.632559i \(-0.217995\pi\)
−0.160556 + 0.987027i \(0.551329\pi\)
\(492\) 30.5752 + 8.10980i 1.37844 + 0.365618i
\(493\) −26.2310 + 15.1445i −1.18139 + 0.682073i
\(494\) −9.79252 + 1.28780i −0.440586 + 0.0579408i
\(495\) 10.5152 18.4274i 0.472622 0.828249i
\(496\) 17.3779 + 10.0331i 0.780290 + 0.450500i
\(497\) 0.330941 + 5.99010i 0.0148447 + 0.268693i
\(498\) −10.6062 + 39.9871i −0.475276 + 1.79186i
\(499\) 14.6954 25.4532i 0.657856 1.13944i −0.323313 0.946292i \(-0.604797\pi\)
0.981170 0.193149i \(-0.0618700\pi\)
\(500\) −5.20556 + 9.01629i −0.232800 + 0.403221i
\(501\) 1.94625 + 7.19072i 0.0869519 + 0.321258i
\(502\) −60.3519 34.8442i −2.69364 1.55517i
\(503\) −7.24340 12.5459i −0.322967 0.559396i 0.658132 0.752903i \(-0.271347\pi\)
−0.981099 + 0.193507i \(0.938014\pi\)
\(504\) −14.7871 + 29.5962i −0.658671 + 1.31832i
\(505\) −22.4922 + 38.9576i −1.00089 + 1.73359i
\(506\) −14.5246 8.38578i −0.645697 0.372793i
\(507\) −22.5166 + 0.0505539i −0.999997 + 0.00224518i
\(508\) 8.53029 + 14.7749i 0.378470 + 0.655530i
\(509\) 9.64216 + 16.7007i 0.427381 + 0.740246i 0.996639 0.0819128i \(-0.0261029\pi\)
−0.569258 + 0.822159i \(0.692770\pi\)
\(510\) 91.4057 24.7400i 4.04751 1.09550i
\(511\) 0.0584501 + 1.05796i 0.00258568 + 0.0468014i
\(512\) 26.7403i 1.18177i
\(513\) −4.16912 + 4.23285i −0.184071 + 0.186885i
\(514\) 1.17205 + 0.676683i 0.0516969 + 0.0298472i
\(515\) −25.1377 + 14.5133i −1.10770 + 0.639530i
\(516\) 11.0710 11.1271i 0.487374 0.489845i
\(517\) −20.7235 11.9647i −0.911420 0.526209i
\(518\) 23.5294 15.3751i 1.03382 0.675544i
\(519\) −23.9667 + 24.0882i −1.05202 + 1.05736i
\(520\) 35.9243 27.5576i 1.57538 1.20848i
\(521\) 1.83171 + 3.17261i 0.0802486 + 0.138995i 0.903357 0.428890i \(-0.141095\pi\)
−0.823108 + 0.567885i \(0.807762\pi\)
\(522\) 0.145329 + 28.7396i 0.00636087 + 1.25790i
\(523\) −1.06199 + 0.613139i −0.0464375 + 0.0268107i −0.523039 0.852309i \(-0.675202\pi\)
0.476602 + 0.879119i \(0.341868\pi\)
\(524\) −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
\(527\) 60.6369i 2.64139i
\(528\) −2.61301 + 9.85146i −0.113717 + 0.428730i
\(529\) −7.05362 + 12.2172i −0.306679 + 0.531184i
\(530\) −12.7375 22.0620i −0.553281 0.958310i
\(531\) −1.49505 0.853117i −0.0648796 0.0370221i
\(532\) 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
\(535\) 2.65506i 0.114788i
\(536\) 9.47635i 0.409316i
\(537\) 12.4864 + 12.4234i 0.538826 + 0.536108i
\(538\) 38.0444i 1.64021i
\(539\) −13.2392 + 9.73392i −0.570254 + 0.419269i
\(540\) 14.7229 56.6621i 0.633571 2.43835i
\(541\) −19.9675 + 34.5848i −0.858472 + 1.48692i 0.0149143 + 0.999889i \(0.495252\pi\)
−0.873386 + 0.487028i \(0.838081\pi\)
\(542\) −7.17696 + 12.4309i −0.308277 + 0.533951i
\(543\) −22.0083 21.8972i −0.944465 0.939701i
\(544\) 15.2917 8.82868i 0.655627 0.378527i
\(545\) 30.8504 1.32149
\(546\) 35.6394 17.2280i 1.52523 0.737291i
\(547\) 9.62236 0.411422 0.205711 0.978613i \(-0.434049\pi\)
0.205711 + 0.978613i \(0.434049\pi\)
\(548\) 9.80173 5.65903i 0.418709 0.241742i
\(549\) 26.5415 0.134214i 1.13276 0.00572811i
\(550\) 11.4618 19.8524i 0.488733 0.846510i
\(551\) 2.28603 3.95952i 0.0973880 0.168681i
\(552\) −20.8100 5.51967i −0.885733 0.234933i
\(553\) 19.1938 + 29.3734i 0.816204 + 1.24909i
\(554\) 68.8353i 2.92453i
\(555\) −16.3197 + 16.4025i −0.692735 + 0.696247i
\(556\) 58.5824i 2.48445i
\(557\) 4.62127i 0.195809i −0.995196 0.0979047i \(-0.968786\pi\)
0.995196 0.0979047i \(-0.0312140\pi\)
\(558\) −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
\(561\) 29.7292 8.04653i 1.25517 0.339725i
\(562\) 16.3277 + 28.2805i 0.688744 + 1.19294i
\(563\) −15.7494 + 27.2788i −0.663759 + 1.14966i 0.315861 + 0.948805i \(0.397707\pi\)
−0.979620 + 0.200859i \(0.935627\pi\)
\(564\) −63.8230 16.9285i −2.68743 0.712818i
\(565\) 8.20668i 0.345258i
\(566\) 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
\(569\) 25.6881 14.8311i 1.07690 0.621750i 0.146844 0.989160i \(-0.453089\pi\)
0.930059 + 0.367409i \(0.119755\pi\)
\(570\) −10.0818 + 10.1329i −0.422279 + 0.424419i
\(571\) −0.414519 0.717968i −0.0173471 0.0300460i 0.857222 0.514948i \(-0.172189\pi\)
−0.874569 + 0.484902i \(0.838855\pi\)
\(572\) 25.1156 19.2662i 1.05013 0.805560i
\(573\) 4.28450 + 4.26289i 0.178988 + 0.178085i
\(574\) 27.6200 + 13.9747i 1.15284 + 0.583293i
\(575\) 10.5263 + 6.07738i 0.438978 + 0.253444i
\(576\) −0.160774 31.7940i −0.00669893 1.32475i
\(577\) −5.14146 + 2.96842i −0.214042 + 0.123577i −0.603188 0.797599i \(-0.706103\pi\)
0.389147 + 0.921176i \(0.372770\pi\)
\(578\) 83.7752 + 48.3676i 3.48459 + 2.01183i
\(579\) −8.05155 + 8.09237i −0.334611 + 0.336307i
\(580\) 45.0519i 1.87068i
\(581\) −11.9082 + 23.5357i −0.494036 + 0.976426i
\(582\) 9.35160 + 34.5510i 0.387636 + 1.43218i
\(583\) −4.14279 7.17553i −0.171577 0.297180i
\(584\) 0.834658 + 1.44567i 0.0345384 + 0.0598223i
\(585\) −25.7549 + 19.9643i −1.06483 + 0.825421i
\(586\) 20.1198 + 11.6162i 0.831140 + 0.479859i
\(587\) −13.8587 + 24.0040i −0.572012 + 0.990753i 0.424348 + 0.905499i \(0.360503\pi\)
−0.996359 + 0.0852537i \(0.972830\pi\)
\(588\) −28.2457 + 35.4708i −1.16483 + 1.46279i
\(589\) 4.57651 + 7.92674i 0.188572 + 0.326616i
\(590\) −3.58649 2.07066i −0.147653 0.0852477i
\(591\) 35.3109 9.55729i 1.45250 0.393134i
\(592\) 5.55765 9.62613i 0.228418 0.395631i
\(593\) 15.6217 27.0576i 0.641507 1.11112i −0.343589 0.939120i \(-0.611643\pi\)
0.985096 0.172003i \(-0.0550240\pi\)
\(594\) 7.34935 28.2846i 0.301547 1.16053i
\(595\) 60.2840 3.33057i 2.47140 0.136540i
\(596\) 22.8426 + 13.1882i 0.935669 + 0.540209i
\(597\) −2.90461 + 0.786163i −0.118878 + 0.0321755i
\(598\) 15.6786 + 20.4387i 0.641145 + 0.835801i
\(599\) −0.638289 + 0.368516i −0.0260798 + 0.0150572i −0.512983 0.858399i \(-0.671460\pi\)
0.486903 + 0.873456i \(0.338126\pi\)
\(600\) 7.54436 28.4434i 0.307997 1.16120i
\(601\) −7.40310 4.27418i −0.301979 0.174348i 0.341353 0.939935i \(-0.389115\pi\)
−0.643332 + 0.765588i \(0.722448\pi\)
\(602\) 12.8582 8.40206i 0.524060 0.342442i
\(603\) 0.0344883 + 6.82025i 0.00140447 + 0.277742i
\(604\) 27.8086 1.13152
\(605\) −8.26854 + 14.3215i −0.336164 + 0.582253i
\(606\) −15.8856 + 59.8912i −0.645308 + 2.43291i
\(607\) 45.1378i 1.83209i −0.401081 0.916043i \(-0.631365\pi\)
0.401081 0.916043i \(-0.368635\pi\)
\(608\) −1.33267 + 2.30825i −0.0540469 + 0.0936120i
\(609\) −3.71368 + 17.9439i −0.150486 + 0.727124i
\(610\) 63.8565 2.58548
\(611\) 22.3700 + 29.1617i 0.904995 + 1.17976i
\(612\) 73.3834 42.8642i 2.96635 1.73268i
\(613\) −24.1727 −0.976325 −0.488163 0.872753i \(-0.662333\pi\)
−0.488163 + 0.872753i \(0.662333\pi\)
\(614\) −37.8946 65.6354i −1.52930 2.64883i
\(615\) −24.6299 6.53287i −0.993174 0.263431i
\(616\) −11.6879 + 23.1002i −0.470918 + 0.930735i
\(617\) −24.4243 + 14.1014i −0.983286 + 0.567700i −0.903261 0.429092i \(-0.858833\pi\)
−0.0800253 + 0.996793i \(0.525500\pi\)
\(618\) −28.1996 + 28.3426i −1.13436 + 1.14011i
\(619\) 11.2287 6.48287i 0.451318 0.260568i −0.257069 0.966393i \(-0.582757\pi\)
0.708387 + 0.705825i \(0.249423\pi\)
\(620\) −78.1081 45.0958i −3.13690 1.81109i
\(621\) 14.9973 + 3.89684i 0.601821 + 0.156375i
\(622\) −31.6478 18.2719i −1.26896 0.732635i
\(623\) −7.27119 + 0.401719i −0.291314 + 0.0160945i
\(624\) 9.50000 12.4420i 0.380304 0.498079i
\(625\) 14.3832 24.9124i 0.575328 0.996498i
\(626\) 29.2882 1.17059
\(627\) −3.27904 + 3.29566i −0.130952 + 0.131616i
\(628\) 77.5176i 3.09329i
\(629\) −33.5886 −1.33927
\(630\) 25.6049 51.2478i 1.02012 2.04176i
\(631\) 3.84197 + 6.65449i 0.152947 + 0.264911i 0.932309 0.361662i \(-0.117790\pi\)
−0.779363 + 0.626573i \(0.784457\pi\)
\(632\) 47.8743 + 27.6403i 1.90434 + 1.09947i
\(633\) −2.50098 9.24026i −0.0994049 0.367267i
\(634\) 73.3801 2.91430
\(635\) −6.87160 11.9020i −0.272691 0.472315i
\(636\) −16.2073 16.1256i −0.642662 0.639420i
\(637\) 24.5086 6.02733i 0.971066 0.238812i
\(638\) 22.4890i 0.890347i
\(639\) −3.43099 5.87386i −0.135728 0.232366i
\(640\) 62.4482i 2.46848i
\(641\) 19.7887 + 11.4250i 0.781605 + 0.451260i 0.836999 0.547205i \(-0.184308\pi\)
−0.0553938 + 0.998465i \(0.517641\pi\)
\(642\) 0.955461 + 3.53010i 0.0377090 + 0.139322i
\(643\) −2.15372 + 1.24345i −0.0849343 + 0.0490368i −0.541866 0.840465i \(-0.682282\pi\)
0.456931 + 0.889502i \(0.348949\pi\)
\(644\) −26.3284 13.3212i −1.03749 0.524930i
\(645\) −8.91827 + 8.96349i −0.351157 + 0.352937i
\(646\) −20.7499 −0.816392
\(647\) 32.5440 1.27944 0.639718 0.768610i \(-0.279051\pi\)
0.639718 + 0.768610i \(0.279051\pi\)
\(648\) −0.379393 37.5126i −0.0149040 1.47363i
\(649\) −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
\(653\) 0.0120422 0.00695258i 0.000471248 0.000272075i −0.499764 0.866161i \(-0.666580\pi\)
0.500236 + 0.865889i \(0.333247\pi\)
\(654\) 41.0179 11.1019i 1.60393 0.434120i
\(655\) 9.93670 + 17.2109i 0.388259 + 0.672485i
\(656\) 12.2410 0.477932
\(657\) −0.605975 1.03743i −0.0236413 0.0404740i
\(658\) −57.6543 29.1710i −2.24760 1.13720i
\(659\) 22.5680 13.0297i 0.879126 0.507564i 0.00875579 0.999962i \(-0.497213\pi\)
0.870370 + 0.492398i \(0.163880\pi\)
\(660\) 11.7447 44.2793i 0.457161 1.72357i
\(661\) 6.80122i 0.264537i 0.991214 + 0.132268i \(0.0422261\pi\)
−0.991214 + 0.132268i \(0.957774\pi\)
\(662\) 36.1319 20.8608i 1.40431 0.810777i
\(663\) −46.9143 6.06251i −1.82200 0.235448i
\(664\) 41.5556i 1.61267i
\(665\) −7.62924 + 4.98526i −0.295849 + 0.193320i
\(666\) −15.7957 + 27.6812i −0.612069 + 1.07262i
\(667\) −11.9243 −0.461711
\(668\) 8.04240 + 13.9299i 0.311170 + 0.538962i
\(669\) 24.0845 6.51874i 0.931161 0.252029i
\(670\) 16.4089i 0.633932i
\(671\) 20.7690 0.801778
\(672\) 2.16494 10.4607i 0.0835144 0.403529i
\(673\) −2.26755 + 3.92750i −0.0874075 + 0.151394i −0.906415 0.422389i \(-0.861192\pi\)
0.819007 + 0.573783i \(0.194525\pi\)
\(674\) −40.2213 + 23.2218i −1.54927 + 0.894469i
\(675\) −5.32626 + 20.4985i −0.205008 + 0.788989i
\(676\) −46.9648 + 12.5699i −1.80634 + 0.483458i
\(677\) −15.3870 + 26.6510i −0.591369 + 1.02428i 0.402679 + 0.915341i \(0.368079\pi\)
−0.994048 + 0.108940i \(0.965254\pi\)
\(678\) −2.95329 10.9114i −0.113420 0.419049i
\(679\) 1.25894 + 22.7871i 0.0483137 + 0.874489i
\(680\) 82.3763 47.5600i 3.15899 1.82384i
\(681\) 0.0616986 + 0.227955i 0.00236429 + 0.00873526i
\(682\) −38.9900 22.5109i −1.49300 0.861987i
\(683\) 1.75409 + 1.01272i 0.0671182 + 0.0387507i 0.533184 0.846000i \(-0.320996\pi\)
−0.466065 + 0.884750i \(0.654329\pi\)
\(684\) −6.35790 + 11.1419i −0.243100 + 0.426023i
\(685\) −7.89581 + 4.55865i −0.301683 + 0.174177i
\(686\) −34.2441 + 28.2154i −1.30744 + 1.07727i
\(687\) 1.00637 0.272385i 0.0383954 0.0103921i
\(688\) 3.03709 5.26040i 0.115788 0.200551i
\(689\) 1.65928 + 12.6173i 0.0632136 + 0.480681i
\(690\) 36.0339 + 9.55767i 1.37179 + 0.363854i
\(691\) 44.9880 25.9739i 1.71143 0.988092i 0.778781 0.627296i \(-0.215838\pi\)
0.932645 0.360796i \(-0.117495\pi\)
\(692\) −36.6848 + 63.5399i −1.39455 + 2.41542i
\(693\) 8.32783 16.6681i 0.316348 0.633167i
\(694\) 0.232870 0.00883961
\(695\) 47.1912i 1.79006i
\(696\) 7.54234 + 27.8664i 0.285892 + 1.05627i
\(697\) −18.4952 32.0346i −0.700556 1.21340i
\(698\) −46.0393 −1.74261
\(699\) −23.9011 + 6.46909i −0.904021 + 0.244683i
\(700\) 18.2076 35.9861i 0.688184 1.36015i
\(701\) 32.3744i 1.22276i −0.791335 0.611382i \(-0.790614\pi\)
0.791335 0.611382i \(-0.209386\pi\)
\(702\) −27.0586 + 35.8122i −1.02126 + 1.35165i
\(703\) 4.39086 2.53507i 0.165605 0.0956118i
\(704\) 24.8791i 0.937666i
\(705\) 51.4128 + 13.6368i 1.93632 + 0.513591i
\(706\) −4.87102 + 2.81228i −0.183323 + 0.105842i
\(707\) −17.8357 + 35.2509i −0.670780 + 1.32575i
\(708\) −3.59246 0.952869i −0.135013 0.0358110i
\(709\) 33.4078 1.25466 0.627329 0.778755i \(-0.284148\pi\)
0.627329 + 0.778755i \(0.284148\pi\)
\(710\) −8.18300 14.1734i −0.307102 0.531917i
\(711\) −34.5564 19.7188i −1.29596 0.739513i
\(712\) −9.93587 + 5.73648i −0.372362 + 0.214984i
\(713\) 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
\(717\) 21.4437 + 21.3355i 0.800829 + 0.796790i
\(718\) −11.7838 −0.439769
\(719\) −14.0626 −0.524448 −0.262224 0.965007i \(-0.584456\pi\)
−0.262224 + 0.965007i \(0.584456\pi\)
\(720\) −0.114560 22.6548i −0.00426938 0.844294i
\(721\) −21.3397 + 13.9442i −0.794732 + 0.519311i
\(722\) −36.7090 + 21.1940i −1.36617 + 0.788758i
\(723\) 22.9627 6.21512i 0.853994 0.231143i
\(724\) −58.0534 33.5171i −2.15754 1.24565i
\(725\) 16.2983i 0.605305i
\(726\) −5.83984 + 22.0171i −0.216737 + 0.817131i
\(727\) 24.2189i 0.898230i 0.893474 + 0.449115i \(0.148261\pi\)
−0.893474 + 0.449115i \(0.851739\pi\)
\(728\) 30.1663 25.9052i 1.11804 0.960109i
\(729\) 0.409577 + 26.9969i 0.0151695 + 0.999885i
\(730\) −1.44526 2.50327i −0.0534916 0.0926502i
\(731\) −18.3552 −0.678892
\(732\) 55.3185 14.9726i 2.04463 0.553402i
\(733\) 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
\(735\) 22.7534 28.5735i 0.839270 1.05395i
\(736\) 6.95144 0.256234
\(737\) 5.33691i 0.196588i
\(738\) −35.0982 + 0.177483i −1.29198 + 0.00653324i
\(739\) −44.7596 −1.64651 −0.823254 0.567673i \(-0.807844\pi\)
−0.823254 + 0.567673i \(0.807844\pi\)
\(740\) −24.9799 + 43.2665i −0.918279 + 1.59051i
\(741\) 6.59042 2.74829i 0.242105 0.100961i
\(742\) −12.2381 18.7287i −0.449274 0.687551i
\(743\) −32.0510 18.5047i −1.17584 0.678870i −0.220790 0.975321i \(-0.570863\pi\)
−0.955048 + 0.296451i \(0.904197\pi\)
\(744\) −55.8627 14.8171i −2.04803 0.543220i
\(745\) −18.4009 10.6238i −0.674157 0.389225i
\(746\) −67.0835 + 38.7307i −2.45610 + 1.41803i
\(747\) −0.151238 29.9081i −0.00553350 1.09428i
\(748\) 57.5913 33.2504i 2.10575 1.21575i
\(749\) 0.128627 + 2.32818i 0.00469994 + 0.0850698i
\(750\) 2.96165 11.1659i 0.108144 0.407720i
\(751\) 8.76983 + 15.1898i 0.320016 + 0.554284i 0.980491 0.196564i \(-0.0629784\pi\)
−0.660475 + 0.750848i \(0.729645\pi\)
\(752\) −25.5521 −0.931788
\(753\) 48.6977 + 12.9166i 1.77464 + 0.470708i
\(754\) 13.2228 31.9100i 0.481547 1.16209i
\(755\) −22.4013 −0.815266
\(756\) 10.1652 50.3993i 0.369703 1.83300i
\(757\) −3.24870 + 5.62691i −0.118076 + 0.204514i −0.919005 0.394245i \(-0.871006\pi\)
0.800929 + 0.598759i \(0.204339\pi\)
\(758\) 10.2740i 0.373169i
\(759\) 11.7198 + 3.10858i 0.425402 + 0.112834i
\(760\) −7.17908 + 12.4345i −0.260413 + 0.451048i
\(761\) 5.41318 0.196228 0.0981138 0.995175i \(-0.468719\pi\)
0.0981138 + 0.995175i \(0.468719\pi\)
\(762\) −13.4194 13.3517i −0.486133 0.483681i
\(763\) 27.0522 1.49458i 0.979354 0.0541074i
\(764\) 11.3017 + 6.52502i 0.408880 + 0.236067i
\(765\) −59.1142 + 34.5293i −2.13728 + 1.24841i
\(766\) −33.7161 + 19.4660i −1.21821 + 0.703336i
\(767\) 1.25916 + 1.64145i 0.0454657 + 0.0592695i
\(768\) −12.8812 47.5916i −0.464809 1.71731i
\(769\) 6.05121 + 3.49367i 0.218212 + 0.125985i 0.605122 0.796133i \(-0.293124\pi\)
−0.386910 + 0.922118i \(0.626458\pi\)
\(770\) 20.2383 39.9995i 0.729338 1.44148i