Properties

Label 637.2.bl.a.625.4
Level $637$
Weight $2$
Character 637.625
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [637,2,Mod(53,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([10, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), 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: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 625.4
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.a.53.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.98190 + 1.35124i) q^{2} +(0.272118 - 0.252488i) q^{3} +(1.37140 - 3.49428i) q^{4} +(-2.27380 - 0.701373i) q^{5} +(-0.198139 + 0.868102i) q^{6} +(-1.25655 - 2.32832i) q^{7} +(0.936090 + 4.10128i) q^{8} +(-0.213893 + 2.85420i) q^{9} +O(q^{10})\) \(q+(-1.98190 + 1.35124i) q^{2} +(0.272118 - 0.252488i) q^{3} +(1.37140 - 3.49428i) q^{4} +(-2.27380 - 0.701373i) q^{5} +(-0.198139 + 0.868102i) q^{6} +(-1.25655 - 2.32832i) q^{7} +(0.936090 + 4.10128i) q^{8} +(-0.213893 + 2.85420i) q^{9} +(5.45416 - 1.68238i) q^{10} +(-0.208316 - 2.77978i) q^{11} +(-0.509082 - 1.29712i) q^{12} +(0.900969 + 0.433884i) q^{13} +(5.63647 + 2.91660i) q^{14} +(-0.795829 + 0.383251i) q^{15} +(-1.89363 - 1.75703i) q^{16} +(0.248311 + 0.0374268i) q^{17} +(-3.43278 - 5.94575i) q^{18} +(1.18625 - 2.05465i) q^{19} +(-5.56909 + 6.98341i) q^{20} +(-0.929804 - 0.316313i) q^{21} +(4.16900 + 5.22776i) q^{22} +(-1.18695 + 0.178904i) q^{23} +(1.29025 + 0.879679i) q^{24} +(0.547031 + 0.372960i) q^{25} +(-2.37191 + 0.357508i) q^{26} +(1.35679 + 1.70136i) q^{27} +(-9.85904 + 1.19767i) q^{28} +(-5.16777 + 6.48017i) q^{29} +(1.05939 - 1.83492i) q^{30} +(1.55569 + 2.69454i) q^{31} +(-2.19240 - 0.330450i) q^{32} +(-0.758549 - 0.703830i) q^{33} +(-0.542699 + 0.261350i) q^{34} +(1.22412 + 6.17544i) q^{35} +(9.68003 + 4.66166i) q^{36} +(0.822366 + 2.09535i) q^{37} +(0.425284 + 5.67502i) q^{38} +(0.354720 - 0.109417i) q^{39} +(0.748049 - 9.98202i) q^{40} +(2.43938 + 10.6876i) q^{41} +(2.27019 - 0.629483i) q^{42} +(0.474634 - 2.07951i) q^{43} +(-9.99901 - 3.08429i) q^{44} +(2.48821 - 6.33985i) q^{45} +(2.11067 - 1.95842i) q^{46} +(-3.75244 + 2.55837i) q^{47} -0.958918 q^{48} +(-3.84216 + 5.85131i) q^{49} -1.58812 q^{50} +(0.0770196 - 0.0525111i) q^{51} +(2.75170 - 2.55321i) q^{52} +(-3.22506 + 8.21732i) q^{53} +(-4.98796 - 1.53858i) q^{54} +(-1.47600 + 6.46676i) q^{55} +(8.37285 - 7.33298i) q^{56} +(-0.195975 - 0.858623i) q^{57} +(1.48575 - 19.8259i) q^{58} +(-3.85458 + 1.18898i) q^{59} +(0.247783 + 3.30644i) q^{60} +(1.23489 + 3.14645i) q^{61} +(-6.72418 - 3.23819i) q^{62} +(6.91426 - 3.08843i) q^{63} +(9.44640 - 4.54915i) q^{64} +(-1.74431 - 1.61848i) q^{65} +(2.45441 + 0.369942i) q^{66} +(-6.14457 - 10.6427i) q^{67} +(0.471314 - 0.816339i) q^{68} +(-0.277819 + 0.348374i) q^{69} +(-10.7706 - 10.5850i) q^{70} +(1.14037 + 1.42998i) q^{71} +(-11.9061 + 1.79455i) q^{72} +(4.18537 + 2.85354i) q^{73} +(-4.46116 - 3.04157i) q^{74} +(0.243025 - 0.0366301i) q^{75} +(-5.55270 - 6.96286i) q^{76} +(-6.21046 + 3.97796i) q^{77} +(-0.555172 + 0.696164i) q^{78} +(-2.13094 + 3.69090i) q^{79} +(3.07339 + 5.32326i) q^{80} +(-7.69192 - 1.15937i) q^{81} +(-19.2761 - 17.8856i) q^{82} +(-6.41850 + 3.09099i) q^{83} +(-2.38042 + 2.81520i) q^{84} +(-0.538358 - 0.259259i) q^{85} +(1.86923 + 4.76272i) q^{86} +(0.229928 + 3.06817i) q^{87} +(11.2057 - 3.45649i) q^{88} +(0.367411 - 4.90276i) q^{89} +(3.63525 + 15.9271i) q^{90} +(-0.121892 - 2.64294i) q^{91} +(-1.00265 + 4.39288i) q^{92} +(1.10367 + 0.340437i) q^{93} +(3.97999 - 10.1409i) q^{94} +(-4.13838 + 3.83985i) q^{95} +(-0.680025 + 0.463633i) q^{96} -16.3428 q^{97} +(-0.291718 - 16.7884i) q^{98} +7.97860 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.98190 + 1.35124i −1.40141 + 0.955468i −0.402211 + 0.915547i \(0.631758\pi\)
−0.999203 + 0.0399213i \(0.987289\pi\)
\(3\) 0.272118 0.252488i 0.157107 0.145774i −0.597703 0.801718i \(-0.703920\pi\)
0.754810 + 0.655944i \(0.227729\pi\)
\(4\) 1.37140 3.49428i 0.685702 1.74714i
\(5\) −2.27380 0.701373i −1.01687 0.313664i −0.258868 0.965913i \(-0.583349\pi\)
−0.758005 + 0.652249i \(0.773826\pi\)
\(6\) −0.198139 + 0.868102i −0.0808897 + 0.354401i
\(7\) −1.25655 2.32832i −0.474931 0.880023i
\(8\) 0.936090 + 4.10128i 0.330958 + 1.45002i
\(9\) −0.213893 + 2.85420i −0.0712975 + 0.951399i
\(10\) 5.45416 1.68238i 1.72476 0.532017i
\(11\) −0.208316 2.77978i −0.0628096 0.838135i −0.936279 0.351257i \(-0.885754\pi\)
0.873470 0.486879i \(-0.161865\pi\)
\(12\) −0.509082 1.29712i −0.146959 0.374446i
\(13\) 0.900969 + 0.433884i 0.249884 + 0.120338i
\(14\) 5.63647 + 2.91660i 1.50641 + 0.779495i
\(15\) −0.795829 + 0.383251i −0.205482 + 0.0989550i
\(16\) −1.89363 1.75703i −0.473406 0.439257i
\(17\) 0.248311 + 0.0374268i 0.0602242 + 0.00907733i 0.179085 0.983834i \(-0.442686\pi\)
−0.118861 + 0.992911i \(0.537924\pi\)
\(18\) −3.43278 5.94575i −0.809114 1.40143i
\(19\) 1.18625 2.05465i 0.272145 0.471370i −0.697266 0.716813i \(-0.745600\pi\)
0.969411 + 0.245443i \(0.0789335\pi\)
\(20\) −5.56909 + 6.98341i −1.24529 + 1.56154i
\(21\) −0.929804 0.316313i −0.202900 0.0690252i
\(22\) 4.16900 + 5.22776i 0.888834 + 1.11456i
\(23\) −1.18695 + 0.178904i −0.247496 + 0.0373040i −0.271619 0.962405i \(-0.587559\pi\)
0.0241225 + 0.999709i \(0.492321\pi\)
\(24\) 1.29025 + 0.879679i 0.263372 + 0.179564i
\(25\) 0.547031 + 0.372960i 0.109406 + 0.0745919i
\(26\) −2.37191 + 0.357508i −0.465170 + 0.0701130i
\(27\) 1.35679 + 1.70136i 0.261114 + 0.327427i
\(28\) −9.85904 + 1.19767i −1.86318 + 0.226338i
\(29\) −5.16777 + 6.48017i −0.959630 + 1.20334i 0.0194393 + 0.999811i \(0.493812\pi\)
−0.979069 + 0.203527i \(0.934760\pi\)
\(30\) 1.05939 1.83492i 0.193417 0.335009i
\(31\) 1.55569 + 2.69454i 0.279410 + 0.483953i 0.971238 0.238109i \(-0.0765277\pi\)
−0.691828 + 0.722062i \(0.743194\pi\)
\(32\) −2.19240 0.330450i −0.387564 0.0584159i
\(33\) −0.758549 0.703830i −0.132046 0.122521i
\(34\) −0.542699 + 0.261350i −0.0930721 + 0.0448212i
\(35\) 1.22412 + 6.17544i 0.206914 + 1.04384i
\(36\) 9.68003 + 4.66166i 1.61334 + 0.776943i
\(37\) 0.822366 + 2.09535i 0.135196 + 0.344474i 0.982399 0.186796i \(-0.0598103\pi\)
−0.847203 + 0.531270i \(0.821715\pi\)
\(38\) 0.425284 + 5.67502i 0.0689902 + 0.920610i
\(39\) 0.354720 0.109417i 0.0568007 0.0175207i
\(40\) 0.748049 9.98202i 0.118277 1.57830i
\(41\) 2.43938 + 10.6876i 0.380968 + 1.66913i 0.694455 + 0.719536i \(0.255645\pi\)
−0.313488 + 0.949592i \(0.601497\pi\)
\(42\) 2.27019 0.629483i 0.350298 0.0971314i
\(43\) 0.474634 2.07951i 0.0723811 0.317122i −0.925757 0.378119i \(-0.876571\pi\)
0.998138 + 0.0609972i \(0.0194281\pi\)
\(44\) −9.99901 3.08429i −1.50741 0.464974i
\(45\) 2.48821 6.33985i 0.370920 0.945089i
\(46\) 2.11067 1.95842i 0.311202 0.288753i
\(47\) −3.75244 + 2.55837i −0.547349 + 0.373177i −0.805195 0.593010i \(-0.797940\pi\)
0.257846 + 0.966186i \(0.416987\pi\)
\(48\) −0.958918 −0.138408
\(49\) −3.84216 + 5.85131i −0.548880 + 0.835901i
\(50\) −1.58812 −0.224594
\(51\) 0.0770196 0.0525111i 0.0107849 0.00735302i
\(52\) 2.75170 2.55321i 0.381593 0.354066i
\(53\) −3.22506 + 8.21732i −0.442996 + 1.12874i 0.518782 + 0.854907i \(0.326386\pi\)
−0.961778 + 0.273830i \(0.911710\pi\)
\(54\) −4.98796 1.53858i −0.678775 0.209374i
\(55\) −1.47600 + 6.46676i −0.199023 + 0.871978i
\(56\) 8.37285 7.33298i 1.11887 0.979911i
\(57\) −0.195975 0.858623i −0.0259575 0.113727i
\(58\) 1.48575 19.8259i 0.195088 2.60327i
\(59\) −3.85458 + 1.18898i −0.501823 + 0.154792i −0.535324 0.844647i \(-0.679810\pi\)
0.0335010 + 0.999439i \(0.489334\pi\)
\(60\) 0.247783 + 3.30644i 0.0319887 + 0.426860i
\(61\) 1.23489 + 3.14645i 0.158112 + 0.402862i 0.987875 0.155254i \(-0.0496197\pi\)
−0.829763 + 0.558116i \(0.811524\pi\)
\(62\) −6.72418 3.23819i −0.853971 0.411251i
\(63\) 6.91426 3.08843i 0.871115 0.389106i
\(64\) 9.44640 4.54915i 1.18080 0.568643i
\(65\) −1.74431 1.61848i −0.216354 0.200748i
\(66\) 2.45441 + 0.369942i 0.302117 + 0.0455368i
\(67\) −6.14457 10.6427i −0.750679 1.30021i −0.947494 0.319773i \(-0.896393\pi\)
0.196815 0.980441i \(-0.436940\pi\)
\(68\) 0.471314 0.816339i 0.0571552 0.0989957i
\(69\) −0.277819 + 0.348374i −0.0334455 + 0.0419393i
\(70\) −10.7706 10.5850i −1.28733 1.26515i
\(71\) 1.14037 + 1.42998i 0.135337 + 0.169707i 0.844882 0.534953i \(-0.179671\pi\)
−0.709545 + 0.704660i \(0.751099\pi\)
\(72\) −11.9061 + 1.79455i −1.40315 + 0.211490i
\(73\) 4.18537 + 2.85354i 0.489860 + 0.333981i 0.782930 0.622110i \(-0.213724\pi\)
−0.293070 + 0.956091i \(0.594677\pi\)
\(74\) −4.46116 3.04157i −0.518600 0.353575i
\(75\) 0.243025 0.0366301i 0.0280621 0.00422968i
\(76\) −5.55270 6.96286i −0.636938 0.798695i
\(77\) −6.21046 + 3.97796i −0.707748 + 0.453331i
\(78\) −0.555172 + 0.696164i −0.0628608 + 0.0788250i
\(79\) −2.13094 + 3.69090i −0.239750 + 0.415259i −0.960642 0.277788i \(-0.910399\pi\)
0.720893 + 0.693047i \(0.243732\pi\)
\(80\) 3.07339 + 5.32326i 0.343615 + 0.595159i
\(81\) −7.69192 1.15937i −0.854658 0.128819i
\(82\) −19.2761 17.8856i −2.12869 1.97514i
\(83\) −6.41850 + 3.09099i −0.704522 + 0.339280i −0.751607 0.659611i \(-0.770721\pi\)
0.0470853 + 0.998891i \(0.485007\pi\)
\(84\) −2.38042 + 2.81520i −0.259725 + 0.307164i
\(85\) −0.538358 0.259259i −0.0583931 0.0281206i
\(86\) 1.86923 + 4.76272i 0.201564 + 0.513577i
\(87\) 0.229928 + 3.06817i 0.0246508 + 0.328942i
\(88\) 11.2057 3.45649i 1.19453 0.368463i
\(89\) 0.367411 4.90276i 0.0389455 0.519692i −0.943281 0.331994i \(-0.892278\pi\)
0.982227 0.187698i \(-0.0601025\pi\)
\(90\) 3.63525 + 15.9271i 0.383189 + 1.67886i
\(91\) −0.121892 2.64294i −0.0127777 0.277056i
\(92\) −1.00265 + 4.39288i −0.104533 + 0.457990i
\(93\) 1.10367 + 0.340437i 0.114445 + 0.0353017i
\(94\) 3.97999 10.1409i 0.410505 1.04595i
\(95\) −4.13838 + 3.83985i −0.424589 + 0.393961i
\(96\) −0.680025 + 0.463633i −0.0694047 + 0.0473193i
\(97\) −16.3428 −1.65936 −0.829682 0.558236i \(-0.811478\pi\)
−0.829682 + 0.558236i \(0.811478\pi\)
\(98\) −0.291718 16.7884i −0.0294680 1.69588i
\(99\) 7.97860 0.801880
\(100\) 2.05343 1.40000i 0.205343 0.140000i
\(101\) −7.41887 + 6.88370i −0.738205 + 0.684954i −0.956763 0.290870i \(-0.906055\pi\)
0.218558 + 0.975824i \(0.429865\pi\)
\(102\) −0.0816902 + 0.208143i −0.00808853 + 0.0206092i
\(103\) 16.9846 + 5.23904i 1.67354 + 0.516218i 0.979108 0.203342i \(-0.0651804\pi\)
0.694430 + 0.719560i \(0.255657\pi\)
\(104\) −0.936090 + 4.10128i −0.0917912 + 0.402163i
\(105\) 1.89233 + 1.37137i 0.184673 + 0.133832i
\(106\) −4.71180 20.6437i −0.457650 2.00510i
\(107\) 0.683379 9.11906i 0.0660648 0.881573i −0.861463 0.507820i \(-0.830452\pi\)
0.927528 0.373753i \(-0.121929\pi\)
\(108\) 7.80573 2.40775i 0.751107 0.231686i
\(109\) 0.518678 + 6.92128i 0.0496804 + 0.662939i 0.965342 + 0.260988i \(0.0840485\pi\)
−0.915662 + 0.401950i \(0.868332\pi\)
\(110\) −5.81285 14.8109i −0.554233 1.41216i
\(111\) 0.752833 + 0.362545i 0.0714557 + 0.0344113i
\(112\) −1.71149 + 6.61676i −0.161721 + 0.625225i
\(113\) 14.8383 7.14575i 1.39587 0.672215i 0.423550 0.905873i \(-0.360784\pi\)
0.972319 + 0.233657i \(0.0750694\pi\)
\(114\) 1.54860 + 1.43689i 0.145040 + 0.134578i
\(115\) 2.82436 + 0.425704i 0.263373 + 0.0396971i
\(116\) 15.5564 + 26.9445i 1.44438 + 2.50174i
\(117\) −1.43110 + 2.47874i −0.132305 + 0.229160i
\(118\) 6.03279 7.56488i 0.555363 0.696403i
\(119\) −0.224873 0.625176i −0.0206141 0.0573098i
\(120\) −2.31679 2.90516i −0.211493 0.265203i
\(121\) 3.19335 0.481321i 0.290305 0.0437564i
\(122\) −6.69903 4.56732i −0.606501 0.413506i
\(123\) 3.36230 + 2.29238i 0.303169 + 0.206697i
\(124\) 11.5489 1.74072i 1.03713 0.156322i
\(125\) 6.43575 + 8.07018i 0.575631 + 0.721819i
\(126\) −9.53016 + 15.4638i −0.849014 + 1.37762i
\(127\) −6.23852 + 7.82286i −0.553579 + 0.694166i −0.977356 0.211600i \(-0.932133\pi\)
0.423777 + 0.905766i \(0.360704\pi\)
\(128\) −10.3577 + 17.9400i −0.915499 + 1.58569i
\(129\) −0.395895 0.685711i −0.0348566 0.0603735i
\(130\) 5.64398 + 0.850694i 0.495010 + 0.0746108i
\(131\) 6.49227 + 6.02395i 0.567233 + 0.526315i 0.910819 0.412806i \(-0.135451\pi\)
−0.343586 + 0.939121i \(0.611642\pi\)
\(132\) −3.49966 + 1.68535i −0.304606 + 0.146690i
\(133\) −6.27448 0.180207i −0.544066 0.0156259i
\(134\) 26.5587 + 12.7900i 2.29432 + 1.10489i
\(135\) −1.89177 4.82016i −0.162818 0.414853i
\(136\) 0.0789434 + 1.05343i 0.00676934 + 0.0903305i
\(137\) 11.1347 3.43459i 0.951300 0.293437i 0.220005 0.975499i \(-0.429393\pi\)
0.731295 + 0.682062i \(0.238916\pi\)
\(138\) 0.0798737 1.06584i 0.00679930 0.0907304i
\(139\) 1.04021 + 4.55744i 0.0882292 + 0.386557i 0.999692 0.0248256i \(-0.00790305\pi\)
−0.911463 + 0.411383i \(0.865046\pi\)
\(140\) 23.2575 + 4.19161i 1.96561 + 0.354256i
\(141\) −0.375147 + 1.64362i −0.0315930 + 0.138418i
\(142\) −4.19234 1.29316i −0.351813 0.108520i
\(143\) 1.01842 2.59488i 0.0851642 0.216995i
\(144\) 5.41994 5.02897i 0.451662 0.419081i
\(145\) 16.2955 11.1101i 1.35326 0.922640i
\(146\) −12.1508 −1.00561
\(147\) 0.431866 + 2.56235i 0.0356197 + 0.211339i
\(148\) 8.44955 0.694548
\(149\) 2.48742 1.69590i 0.203778 0.138933i −0.457132 0.889399i \(-0.651123\pi\)
0.660909 + 0.750466i \(0.270171\pi\)
\(150\) −0.432155 + 0.400981i −0.0352853 + 0.0327400i
\(151\) −5.95795 + 15.1806i −0.484851 + 1.23538i 0.453984 + 0.891010i \(0.350002\pi\)
−0.938834 + 0.344369i \(0.888093\pi\)
\(152\) 9.53714 + 2.94182i 0.773564 + 0.238613i
\(153\) −0.159935 + 0.700722i −0.0129300 + 0.0566501i
\(154\) 6.93335 16.2757i 0.558705 1.31153i
\(155\) −1.64745 7.21795i −0.132326 0.579760i
\(156\) 0.104132 1.38955i 0.00833724 0.111253i
\(157\) 6.76275 2.08603i 0.539726 0.166483i −0.0128938 0.999917i \(-0.504104\pi\)
0.552620 + 0.833433i \(0.313628\pi\)
\(158\) −0.763965 10.1944i −0.0607778 0.811024i
\(159\) 1.19718 + 3.05037i 0.0949427 + 0.241910i
\(160\) 4.75329 + 2.28906i 0.375781 + 0.180966i
\(161\) 1.90801 + 2.53880i 0.150372 + 0.200085i
\(162\) 16.8112 8.09584i 1.32081 0.636069i
\(163\) −10.7006 9.92869i −0.838135 0.777675i 0.139001 0.990292i \(-0.455611\pi\)
−0.977136 + 0.212617i \(0.931801\pi\)
\(164\) 40.6910 + 6.13317i 3.17743 + 0.478920i
\(165\) 1.23114 + 2.13239i 0.0958439 + 0.166007i
\(166\) 8.54417 14.7989i 0.663156 1.14862i
\(167\) 3.72260 4.66799i 0.288063 0.361220i −0.616652 0.787235i \(-0.711512\pi\)
0.904716 + 0.426015i \(0.140083\pi\)
\(168\) 0.426909 4.10948i 0.0329367 0.317053i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) 1.41729 0.213622i 0.108701 0.0163841i
\(171\) 5.61065 + 3.82528i 0.429057 + 0.292526i
\(172\) −6.61547 4.51035i −0.504425 0.343911i
\(173\) 2.16378 0.326138i 0.164509 0.0247958i −0.0662710 0.997802i \(-0.521110\pi\)
0.230780 + 0.973006i \(0.425872\pi\)
\(174\) −4.60152 5.77012i −0.348840 0.437432i
\(175\) 0.180997 1.74231i 0.0136821 0.131706i
\(176\) −4.48968 + 5.62988i −0.338422 + 0.424368i
\(177\) −0.748695 + 1.29678i −0.0562754 + 0.0974718i
\(178\) 5.89662 + 10.2132i 0.441970 + 0.765515i
\(179\) 4.97583 + 0.749985i 0.371911 + 0.0560565i 0.332338 0.943160i \(-0.392162\pi\)
0.0395722 + 0.999217i \(0.487400\pi\)
\(180\) −18.7409 17.3890i −1.39686 1.29610i
\(181\) 14.2559 6.86529i 1.05963 0.510293i 0.178882 0.983871i \(-0.442752\pi\)
0.880752 + 0.473578i \(0.157038\pi\)
\(182\) 3.81282 + 5.07334i 0.282625 + 0.376061i
\(183\) 1.13048 + 0.544410i 0.0835674 + 0.0402439i
\(184\) −1.84483 4.70054i −0.136002 0.346528i
\(185\) −0.400267 5.34119i −0.0294282 0.392692i
\(186\) −2.64737 + 0.816607i −0.194115 + 0.0598765i
\(187\) 0.0523113 0.698046i 0.00382538 0.0510462i
\(188\) 3.79355 + 16.6206i 0.276673 + 1.21218i
\(189\) 2.25644 5.29688i 0.164132 0.385292i
\(190\) 3.01330 13.2021i 0.218608 0.957783i
\(191\) −11.6148 3.58268i −0.840414 0.259233i −0.155480 0.987839i \(-0.549693\pi\)
−0.684934 + 0.728606i \(0.740169\pi\)
\(192\) 1.42193 3.62301i 0.102619 0.261468i
\(193\) −12.4841 + 11.5835i −0.898624 + 0.833801i −0.986740 0.162309i \(-0.948106\pi\)
0.0881163 + 0.996110i \(0.471915\pi\)
\(194\) 32.3899 22.0830i 2.32546 1.58547i
\(195\) −0.883303 −0.0632547
\(196\) 15.1769 + 21.4501i 1.08407 + 1.53215i
\(197\) −25.0553 −1.78512 −0.892560 0.450929i \(-0.851093\pi\)
−0.892560 + 0.450929i \(0.851093\pi\)
\(198\) −15.8128 + 10.7810i −1.12377 + 0.766170i
\(199\) −18.7828 + 17.4279i −1.33148 + 1.23543i −0.381025 + 0.924565i \(0.624429\pi\)
−0.950454 + 0.310867i \(0.899381\pi\)
\(200\) −1.01754 + 2.59265i −0.0719510 + 0.183328i
\(201\) −4.35921 1.34464i −0.307475 0.0948434i
\(202\) 5.40194 23.6674i 0.380079 1.66524i
\(203\) 21.5815 + 3.88956i 1.51472 + 0.272993i
\(204\) −0.0778634 0.341142i −0.00545153 0.0238847i
\(205\) 1.94936 26.0124i 0.136149 1.81679i
\(206\) −40.7408 + 12.5669i −2.83855 + 0.875577i
\(207\) −0.256747 3.42606i −0.0178452 0.238127i
\(208\) −0.943752 2.40464i −0.0654374 0.166732i
\(209\) −5.95860 2.86951i −0.412165 0.198488i
\(210\) −5.60345 0.160934i −0.386675 0.0111055i
\(211\) 2.62108 1.26224i 0.180442 0.0868965i −0.341482 0.939888i \(-0.610929\pi\)
0.521924 + 0.852992i \(0.325214\pi\)
\(212\) 24.2908 + 22.5385i 1.66830 + 1.54795i
\(213\) 0.671368 + 0.101192i 0.0460014 + 0.00693359i
\(214\) 10.9676 + 18.9965i 0.749731 + 1.29857i
\(215\) −2.53773 + 4.39548i −0.173072 + 0.299769i
\(216\) −5.70767 + 7.15719i −0.388358 + 0.486985i
\(217\) 4.31894 7.00797i 0.293189 0.475732i
\(218\) −10.3803 13.0164i −0.703040 0.881584i
\(219\) 1.85940 0.280259i 0.125646 0.0189382i
\(220\) 20.5725 + 14.0261i 1.38700 + 0.945638i
\(221\) 0.207481 + 0.141458i 0.0139567 + 0.00951552i
\(222\) −1.98192 + 0.298727i −0.133018 + 0.0200492i
\(223\) 16.7316 + 20.9808i 1.12043 + 1.40498i 0.903394 + 0.428812i \(0.141068\pi\)
0.217037 + 0.976163i \(0.430361\pi\)
\(224\) 1.98546 + 5.51983i 0.132659 + 0.368809i
\(225\) −1.18151 + 1.48156i −0.0787671 + 0.0987708i
\(226\) −19.7524 + 34.2122i −1.31391 + 2.27576i
\(227\) −3.51684 6.09134i −0.233421 0.404297i 0.725392 0.688336i \(-0.241659\pi\)
−0.958813 + 0.284040i \(0.908325\pi\)
\(228\) −3.26903 0.492727i −0.216497 0.0326316i
\(229\) 12.6441 + 11.7320i 0.835547 + 0.775275i 0.976676 0.214717i \(-0.0688828\pi\)
−0.141129 + 0.989991i \(0.545073\pi\)
\(230\) −6.17282 + 2.97267i −0.407024 + 0.196012i
\(231\) −0.685589 + 2.65054i −0.0451084 + 0.174393i
\(232\) −31.4145 15.1284i −2.06246 0.993230i
\(233\) −4.12011 10.4979i −0.269917 0.687738i −0.999990 0.00436874i \(-0.998609\pi\)
0.730073 0.683369i \(-0.239486\pi\)
\(234\) −0.513064 6.84637i −0.0335401 0.447561i
\(235\) 10.3267 3.18535i 0.673637 0.207789i
\(236\) −1.13155 + 15.0995i −0.0736579 + 0.982896i
\(237\) 0.352043 + 1.54240i 0.0228676 + 0.100190i
\(238\) 1.29044 + 0.935178i 0.0836465 + 0.0606186i
\(239\) 2.01781 8.84059i 0.130521 0.571850i −0.866797 0.498661i \(-0.833825\pi\)
0.997318 0.0731891i \(-0.0233177\pi\)
\(240\) 2.18038 + 0.672560i 0.140743 + 0.0434135i
\(241\) −0.151241 + 0.385355i −0.00974227 + 0.0248229i −0.935662 0.352897i \(-0.885197\pi\)
0.925920 + 0.377720i \(0.123292\pi\)
\(242\) −5.67853 + 5.26890i −0.365030 + 0.338698i
\(243\) −7.77982 + 5.30419i −0.499076 + 0.340264i
\(244\) 12.6881 0.812273
\(245\) 12.8402 10.6099i 0.820333 0.677841i
\(246\) −9.76129 −0.622357
\(247\) 1.96026 1.33648i 0.124728 0.0850383i
\(248\) −9.59478 + 8.90265i −0.609269 + 0.565319i
\(249\) −0.966149 + 2.46171i −0.0612272 + 0.156004i
\(250\) −23.6597 7.29806i −1.49637 0.461570i
\(251\) −2.31592 + 10.1467i −0.146179 + 0.640454i 0.847746 + 0.530402i \(0.177959\pi\)
−0.993926 + 0.110052i \(0.964898\pi\)
\(252\) −1.30961 28.3958i −0.0824977 1.78877i
\(253\) 0.744574 + 3.26219i 0.0468110 + 0.205092i
\(254\) 1.79359 23.9338i 0.112540 1.50174i
\(255\) −0.211957 + 0.0653800i −0.0132732 + 0.00409425i
\(256\) −2.14629 28.6402i −0.134143 1.79001i
\(257\) 4.18100 + 10.6530i 0.260804 + 0.664517i 0.999959 0.00901757i \(-0.00287042\pi\)
−0.739156 + 0.673535i \(0.764775\pi\)
\(258\) 1.71118 + 0.824062i 0.106534 + 0.0513038i
\(259\) 3.84531 4.54765i 0.238936 0.282577i
\(260\) −8.04756 + 3.87550i −0.499089 + 0.240348i
\(261\) −17.3904 16.1359i −1.07644 0.998786i
\(262\) −21.0068 3.16627i −1.29780 0.195613i
\(263\) −12.9939 22.5061i −0.801237 1.38778i −0.918802 0.394718i \(-0.870842\pi\)
0.117565 0.993065i \(-0.462491\pi\)
\(264\) 2.17653 3.76987i 0.133956 0.232019i
\(265\) 13.0965 16.4225i 0.804514 1.00883i
\(266\) 12.6789 8.12115i 0.777392 0.497940i
\(267\) −1.13791 1.42690i −0.0696391 0.0873246i
\(268\) −45.6153 + 6.87540i −2.78640 + 0.419982i
\(269\) −4.49165 3.06236i −0.273861 0.186715i 0.418600 0.908171i \(-0.362521\pi\)
−0.692461 + 0.721456i \(0.743473\pi\)
\(270\) 10.2625 + 6.99684i 0.624555 + 0.425814i
\(271\) −3.77742 + 0.569355i −0.229462 + 0.0345858i −0.262767 0.964859i \(-0.584635\pi\)
0.0333046 + 0.999445i \(0.489397\pi\)
\(272\) −0.404447 0.507161i −0.0245232 0.0307512i
\(273\) −0.700481 0.688415i −0.0423950 0.0416648i
\(274\) −17.4269 + 21.8526i −1.05280 + 1.32016i
\(275\) 0.922791 1.59832i 0.0556464 0.0963823i
\(276\) 0.836314 + 1.44854i 0.0503402 + 0.0871917i
\(277\) −29.1443 4.39279i −1.75111 0.263937i −0.806288 0.591523i \(-0.798527\pi\)
−0.944821 + 0.327586i \(0.893765\pi\)
\(278\) −8.21977 7.62683i −0.492989 0.457427i
\(279\) −8.02349 + 3.86391i −0.480354 + 0.231326i
\(280\) −24.1813 + 10.8012i −1.44511 + 0.645496i
\(281\) −10.8390 5.21978i −0.646599 0.311386i 0.0816877 0.996658i \(-0.473969\pi\)
−0.728287 + 0.685272i \(0.759683\pi\)
\(282\) −1.47742 3.76441i −0.0879792 0.224167i
\(283\) −1.29596 17.2934i −0.0770368 1.02798i −0.893052 0.449954i \(-0.851440\pi\)
0.816015 0.578031i \(-0.196179\pi\)
\(284\) 6.56065 2.02369i 0.389303 0.120084i
\(285\) −0.156608 + 2.08978i −0.00927664 + 0.123788i
\(286\) 1.48790 + 6.51891i 0.0879813 + 0.385471i
\(287\) 21.8190 19.1092i 1.28794 1.12798i
\(288\) 1.41211 6.18685i 0.0832093 0.364564i
\(289\) −16.1845 4.99225i −0.952028 0.293662i
\(290\) −17.2837 + 44.0380i −1.01493 + 2.58600i
\(291\) −4.44718 + 4.12638i −0.260698 + 0.241893i
\(292\) 15.7109 10.7115i 0.919409 0.626843i
\(293\) 0.231862 0.0135455 0.00677277 0.999977i \(-0.497844\pi\)
0.00677277 + 0.999977i \(0.497844\pi\)
\(294\) −4.31825 4.49476i −0.251845 0.262140i
\(295\) 9.59844 0.558843
\(296\) −7.82382 + 5.33419i −0.454750 + 0.310044i
\(297\) 4.44677 4.12600i 0.258028 0.239415i
\(298\) −2.63827 + 6.72219i −0.152831 + 0.389406i
\(299\) −1.14703 0.353811i −0.0663344 0.0204614i
\(300\) 0.205289 0.899431i 0.0118524 0.0519287i
\(301\) −5.43817 + 1.50791i −0.313451 + 0.0869143i
\(302\) −8.70452 38.1370i −0.500889 2.19454i
\(303\) −0.280750 + 3.74635i −0.0161287 + 0.215222i
\(304\) −5.85640 + 1.80646i −0.335888 + 0.103608i
\(305\) −0.601054 8.02051i −0.0344163 0.459253i
\(306\) −0.629866 1.60487i −0.0360070 0.0917444i
\(307\) −26.5587 12.7900i −1.51578 0.729963i −0.523278 0.852162i \(-0.675291\pi\)
−0.992506 + 0.122199i \(0.961005\pi\)
\(308\) 5.38305 + 27.1565i 0.306728 + 1.54738i
\(309\) 5.94460 2.86277i 0.338176 0.162857i
\(310\) 13.0182 + 12.0792i 0.739386 + 0.686050i
\(311\) 11.5449 + 1.74012i 0.654654 + 0.0986732i 0.467967 0.883746i \(-0.344987\pi\)
0.186687 + 0.982419i \(0.440225\pi\)
\(312\) 0.780798 + 1.35238i 0.0442040 + 0.0765636i
\(313\) −5.18867 + 8.98704i −0.293281 + 0.507977i −0.974584 0.224024i \(-0.928080\pi\)
0.681303 + 0.732002i \(0.261414\pi\)
\(314\) −10.5844 + 13.2724i −0.597310 + 0.749003i
\(315\) −17.8878 + 2.17299i −1.00786 + 0.122434i
\(316\) 9.97466 + 12.5078i 0.561119 + 0.703621i
\(317\) −13.2574 + 1.99824i −0.744612 + 0.112232i −0.510381 0.859949i \(-0.670496\pi\)
−0.234232 + 0.972181i \(0.575257\pi\)
\(318\) −6.49446 4.42785i −0.364191 0.248302i
\(319\) 19.0900 + 13.0153i 1.06883 + 0.728719i
\(320\) −24.6698 + 3.71838i −1.37909 + 0.207864i
\(321\) −2.11650 2.65400i −0.118131 0.148132i
\(322\) −7.21199 2.45347i −0.401909 0.136727i
\(323\) 0.371459 0.465794i 0.0206685 0.0259175i
\(324\) −14.5999 + 25.2877i −0.811105 + 1.40487i
\(325\) 0.331037 + 0.573373i 0.0183626 + 0.0318050i
\(326\) 34.6235 + 5.21865i 1.91762 + 0.289034i
\(327\) 1.88869 + 1.75244i 0.104445 + 0.0969104i
\(328\) −41.5495 + 20.0092i −2.29419 + 1.10482i
\(329\) 10.6718 + 5.52216i 0.588357 + 0.304447i
\(330\) −5.32136 2.56263i −0.292931 0.141068i
\(331\) 9.82745 + 25.0399i 0.540165 + 1.37632i 0.896950 + 0.442132i \(0.145778\pi\)
−0.356785 + 0.934187i \(0.616127\pi\)
\(332\) 1.99842 + 26.6670i 0.109677 + 1.46354i
\(333\) −6.15645 + 1.89901i −0.337372 + 0.104065i
\(334\) −1.07026 + 14.2816i −0.0585619 + 0.781455i
\(335\) 6.50699 + 28.5090i 0.355515 + 1.55761i
\(336\) 1.20493 + 2.23267i 0.0657343 + 0.121802i
\(337\) 4.23705 18.5637i 0.230807 1.01123i −0.718165 0.695873i \(-0.755018\pi\)
0.948972 0.315359i \(-0.102125\pi\)
\(338\) −2.29213 0.707029i −0.124676 0.0384573i
\(339\) 2.23355 5.69098i 0.121310 0.309092i
\(340\) −1.64423 + 1.52562i −0.0891709 + 0.0827385i
\(341\) 7.16615 4.88580i 0.388069 0.264581i
\(342\) −16.2886 −0.880787
\(343\) 18.4516 + 1.59333i 0.996292 + 0.0860316i
\(344\) 8.97295 0.483789
\(345\) 0.876044 0.597277i 0.0471646 0.0321563i
\(346\) −3.84771 + 3.57016i −0.206854 + 0.191933i
\(347\) 12.2683 31.2592i 0.658599 1.67808i −0.0738577 0.997269i \(-0.523531\pi\)
0.732457 0.680814i \(-0.238374\pi\)
\(348\) 11.0364 + 3.40427i 0.591612 + 0.182488i
\(349\) 7.70298 33.7490i 0.412331 1.80654i −0.160696 0.987004i \(-0.551374\pi\)
0.573027 0.819537i \(-0.305769\pi\)
\(350\) 1.99555 + 3.69765i 0.106667 + 0.197648i
\(351\) 0.484232 + 2.12156i 0.0258464 + 0.113241i
\(352\) −0.461869 + 6.16322i −0.0246177 + 0.328501i
\(353\) −9.18384 + 2.83284i −0.488807 + 0.150777i −0.529355 0.848401i \(-0.677566\pi\)
0.0405479 + 0.999178i \(0.487090\pi\)
\(354\) −0.268415 3.58175i −0.0142661 0.190368i
\(355\) −1.59002 4.05130i −0.0843895 0.215021i
\(356\) −16.6278 8.00751i −0.881269 0.424397i
\(357\) −0.219042 0.113344i −0.0115929 0.00599878i
\(358\) −10.8750 + 5.23712i −0.574761 + 0.276790i
\(359\) 9.16121 + 8.50036i 0.483510 + 0.448632i 0.883874 0.467724i \(-0.154926\pi\)
−0.400364 + 0.916356i \(0.631116\pi\)
\(360\) 28.3307 + 4.27016i 1.49316 + 0.225057i
\(361\) 6.68560 + 11.5798i 0.351874 + 0.609463i
\(362\) −18.9772 + 32.8694i −0.997418 + 1.72758i
\(363\) 0.747440 0.937261i 0.0392304 0.0491934i
\(364\) −9.40234 3.19862i −0.492817 0.167653i
\(365\) −7.51528 9.42386i −0.393368 0.493267i
\(366\) −2.97612 + 0.448578i −0.155564 + 0.0234475i
\(367\) −19.7421 13.4600i −1.03053 0.702604i −0.0749056 0.997191i \(-0.523866\pi\)
−0.955625 + 0.294587i \(0.904818\pi\)
\(368\) 2.56198 + 1.74673i 0.133552 + 0.0910544i
\(369\) −31.0264 + 4.67648i −1.61517 + 0.243448i
\(370\) 8.01050 + 10.0449i 0.416446 + 0.522207i
\(371\) 23.1850 2.81650i 1.20371 0.146225i
\(372\) 2.70316 3.38966i 0.140152 0.175745i
\(373\) 1.21502 2.10448i 0.0629116 0.108966i −0.832854 0.553493i \(-0.813295\pi\)
0.895766 + 0.444527i \(0.146628\pi\)
\(374\) 0.839549 + 1.45414i 0.0434120 + 0.0751918i
\(375\) 3.78891 + 0.571086i 0.195658 + 0.0294908i
\(376\) −14.0052 12.9949i −0.722263 0.670162i
\(377\) −7.46764 + 3.59622i −0.384603 + 0.185215i
\(378\) 2.68531 + 13.5469i 0.138117 + 0.696776i
\(379\) 10.6778 + 5.14216i 0.548482 + 0.264135i 0.687536 0.726150i \(-0.258692\pi\)
−0.139055 + 0.990285i \(0.544406\pi\)
\(380\) 7.74213 + 19.7266i 0.397163 + 1.01196i
\(381\) 0.277568 + 3.70389i 0.0142203 + 0.189756i
\(382\) 27.8603 8.59377i 1.42546 0.439695i
\(383\) −2.71377 + 36.2128i −0.138667 + 1.85039i 0.302733 + 0.953076i \(0.402101\pi\)
−0.441400 + 0.897310i \(0.645518\pi\)
\(384\) 1.71114 + 7.49700i 0.0873213 + 0.382580i
\(385\) 16.9114 4.68922i 0.861883 0.238985i
\(386\) 9.09010 39.8263i 0.462674 2.02711i
\(387\) 5.83381 + 1.79949i 0.296549 + 0.0914733i
\(388\) −22.4126 + 57.1065i −1.13783 + 2.89914i
\(389\) −1.87033 + 1.73541i −0.0948294 + 0.0879888i −0.726163 0.687522i \(-0.758698\pi\)
0.631334 + 0.775511i \(0.282508\pi\)
\(390\) 1.75062 1.19355i 0.0886460 0.0604378i
\(391\) −0.301428 −0.0152439
\(392\) −27.5944 10.2804i −1.39373 0.519240i
\(393\) 3.28764 0.165839
\(394\) 49.6572 33.8557i 2.50169 1.70562i
\(395\) 7.43403 6.89778i 0.374047 0.347065i
\(396\) 10.9419 27.8795i 0.549850 1.40100i
\(397\) −6.39093 1.97134i −0.320752 0.0989388i 0.130198 0.991488i \(-0.458439\pi\)
−0.450950 + 0.892549i \(0.648915\pi\)
\(398\) 13.6764 59.9204i 0.685538 3.00354i
\(399\) −1.75290 + 1.53520i −0.0877546 + 0.0768559i
\(400\) −0.380572 1.66739i −0.0190286 0.0833697i
\(401\) 0.851623 11.3641i 0.0425280 0.567497i −0.934718 0.355389i \(-0.884348\pi\)
0.977246 0.212108i \(-0.0680327\pi\)
\(402\) 10.4564 3.22538i 0.521519 0.160867i
\(403\) 0.232514 + 3.10268i 0.0115823 + 0.154556i
\(404\) 13.8793 + 35.3639i 0.690522 + 1.75942i
\(405\) 16.6767 + 8.03108i 0.828672 + 0.399068i
\(406\) −48.0280 + 21.4530i −2.38359 + 1.06469i
\(407\) 5.65331 2.72249i 0.280224 0.134949i
\(408\) 0.287460 + 0.266724i 0.0142314 + 0.0132048i
\(409\) −19.1599 2.88789i −0.947397 0.142797i −0.342871 0.939383i \(-0.611399\pi\)
−0.604526 + 0.796586i \(0.706637\pi\)
\(410\) 31.2855 + 54.1880i 1.54508 + 2.67616i
\(411\) 2.16275 3.74599i 0.106681 0.184776i
\(412\) 41.5993 52.1639i 2.04945 2.56993i
\(413\) 7.61179 + 7.48068i 0.374552 + 0.368100i
\(414\) 5.13826 + 6.44317i 0.252532 + 0.316665i
\(415\) 16.7623 2.52651i 0.822829 0.124021i
\(416\) −1.83190 1.24897i −0.0898164 0.0612358i
\(417\) 1.43376 + 0.977521i 0.0702115 + 0.0478694i
\(418\) 15.6867 2.36439i 0.767263 0.115646i
\(419\) 1.77815 + 2.22973i 0.0868682 + 0.108929i 0.823366 0.567510i \(-0.192093\pi\)
−0.736498 + 0.676440i \(0.763522\pi\)
\(420\) 7.38710 4.73163i 0.360454 0.230880i
\(421\) 1.87917 2.35640i 0.0915849 0.114844i −0.733927 0.679228i \(-0.762315\pi\)
0.825512 + 0.564384i \(0.190886\pi\)
\(422\) −3.48912 + 6.04334i −0.169848 + 0.294185i
\(423\) −6.49947 11.2574i −0.316015 0.547354i
\(424\) −36.7205 5.53472i −1.78330 0.268790i
\(425\) 0.121875 + 0.113083i 0.00591180 + 0.00548535i
\(426\) −1.46732 + 0.706623i −0.0710918 + 0.0342360i
\(427\) 5.77425 6.82890i 0.279435 0.330474i
\(428\) −30.9274 14.8938i −1.49493 0.719920i
\(429\) −0.378048 0.963251i −0.0182523 0.0465062i
\(430\) −0.909803 12.1405i −0.0438746 0.585466i
\(431\) 20.2168 6.23607i 0.973811 0.300381i 0.233285 0.972408i \(-0.425053\pi\)
0.740526 + 0.672028i \(0.234576\pi\)
\(432\) 0.420086 5.60565i 0.0202114 0.269702i
\(433\) −0.563332 2.46812i −0.0270720 0.118610i 0.959586 0.281414i \(-0.0908034\pi\)
−0.986658 + 0.162804i \(0.947946\pi\)
\(434\) 0.909713 + 19.7250i 0.0436676 + 0.946830i
\(435\) 1.62912 7.13766i 0.0781105 0.342225i
\(436\) 24.8962 + 7.67946i 1.19231 + 0.367780i
\(437\) −1.04044 + 2.65099i −0.0497709 + 0.126814i
\(438\) −3.30644 + 3.06793i −0.157988 + 0.146591i
\(439\) 0.272346 0.185683i 0.0129984 0.00886215i −0.556803 0.830644i \(-0.687972\pi\)
0.569802 + 0.821782i \(0.307020\pi\)
\(440\) −27.9037 −1.33025
\(441\) −15.8790 12.2178i −0.756142 0.581802i
\(442\) −0.602351 −0.0286509
\(443\) 29.0891 19.8326i 1.38207 0.942277i 0.382232 0.924066i \(-0.375156\pi\)
0.999834 0.0182102i \(-0.00579679\pi\)
\(444\) 2.29927 2.13341i 0.109119 0.101247i
\(445\) −4.27409 + 10.8902i −0.202611 + 0.516245i
\(446\) −61.5103 18.9734i −2.91260 0.898417i
\(447\) 0.248678 1.08953i 0.0117621 0.0515330i
\(448\) −22.4618 16.2780i −1.06122 0.769065i
\(449\) 7.09787 + 31.0978i 0.334969 + 1.46760i 0.809376 + 0.587290i \(0.199805\pi\)
−0.474407 + 0.880306i \(0.657338\pi\)
\(450\) 0.339686 4.53280i 0.0160130 0.213678i
\(451\) 29.2011 9.00735i 1.37503 0.424140i
\(452\) −4.61994 61.6488i −0.217304 2.89972i
\(453\) 2.21166 + 5.63522i 0.103913 + 0.264766i
\(454\) 15.2009 + 7.32035i 0.713412 + 0.343561i
\(455\) −1.57653 + 6.09500i −0.0739089 + 0.285738i
\(456\) 3.33800 1.60750i 0.156316 0.0752779i
\(457\) −16.9154 15.6952i −0.791268 0.734190i 0.176971 0.984216i \(-0.443370\pi\)
−0.968239 + 0.250027i \(0.919561\pi\)
\(458\) −40.9121 6.16651i −1.91170 0.288142i
\(459\) 0.273229 + 0.473246i 0.0127532 + 0.0220892i
\(460\) 5.36086 9.28529i 0.249952 0.432929i
\(461\) 8.06711 10.1158i 0.375723 0.471142i −0.557636 0.830085i \(-0.688292\pi\)
0.933359 + 0.358944i \(0.116863\pi\)
\(462\) −2.22274 6.17950i −0.103411 0.287496i
\(463\) 17.9002 + 22.4462i 0.831894 + 1.04316i 0.998368 + 0.0571158i \(0.0181904\pi\)
−0.166474 + 0.986046i \(0.553238\pi\)
\(464\) 21.1717 3.19111i 0.982870 0.148144i
\(465\) −2.27075 1.54817i −0.105303 0.0717947i
\(466\) 22.3507 + 15.2385i 1.03538 + 0.705908i
\(467\) 2.73730 0.412582i 0.126667 0.0190920i −0.0854027 0.996347i \(-0.527218\pi\)
0.212070 + 0.977255i \(0.431980\pi\)
\(468\) 6.69879 + 8.40002i 0.309652 + 0.388291i
\(469\) −17.0587 + 27.6796i −0.787697 + 1.27813i
\(470\) −16.1622 + 20.2668i −0.745508 + 0.934837i
\(471\) 1.31357 2.27516i 0.0605259 0.104834i
\(472\) −8.48456 14.6957i −0.390534 0.676424i
\(473\) −5.87945 0.886185i −0.270337 0.0407468i
\(474\) −2.78186 2.58119i −0.127775 0.118558i
\(475\) 1.41522 0.681534i 0.0649347 0.0312709i
\(476\) −2.49293 0.0715984i −0.114263 0.00328171i
\(477\) −22.7641 10.9626i −1.04229 0.501943i
\(478\) 7.94663 + 20.2477i 0.363471 + 0.926108i
\(479\) 0.441991 + 5.89795i 0.0201951 + 0.269484i 0.998156 + 0.0606974i \(0.0193325\pi\)
−0.977961 + 0.208787i \(0.933048\pi\)
\(480\) 1.87142 0.577256i 0.0854181 0.0263480i
\(481\) −0.168214 + 2.24466i −0.00766990 + 0.102348i
\(482\) −0.220962 0.968097i −0.0100645 0.0440956i
\(483\) 1.16022 + 0.209102i 0.0527918 + 0.00951449i
\(484\) 2.69751 11.8186i 0.122614 0.537207i
\(485\) 37.1603 + 11.4624i 1.68736 + 0.520482i
\(486\) 8.25160 21.0247i 0.374300 0.953702i
\(487\) −17.2266 + 15.9839i −0.780611 + 0.724301i −0.966050 0.258355i \(-0.916820\pi\)
0.185439 + 0.982656i \(0.440629\pi\)
\(488\) −11.7485 + 8.00999i −0.531830 + 0.362595i
\(489\) −5.41870 −0.245042
\(490\) −11.1116 + 38.3779i −0.501971 + 1.73374i
\(491\) −34.7261 −1.56717 −0.783583 0.621287i \(-0.786610\pi\)
−0.783583 + 0.621287i \(0.786610\pi\)
\(492\) 12.6213 8.60505i 0.569012 0.387946i
\(493\) −1.52574 + 1.41568i −0.0687160 + 0.0637592i
\(494\) −2.07913 + 5.29754i −0.0935446 + 0.238348i
\(495\) −18.1417 5.59598i −0.815410 0.251521i
\(496\) 1.78848 7.83584i 0.0803051 0.351839i
\(497\) 1.89652 4.45199i 0.0850704 0.199699i
\(498\) −1.41154 6.18435i −0.0632525 0.277128i
\(499\) 2.54404 33.9479i 0.113887 1.51972i −0.588835 0.808253i \(-0.700413\pi\)
0.702722 0.711464i \(-0.251968\pi\)
\(500\) 37.0255 11.4208i 1.65583 0.510756i
\(501\) −0.165628 2.21016i −0.00739973 0.0987425i
\(502\) −9.12067 23.2391i −0.407075 1.03721i
\(503\) −30.0564 14.4744i −1.34015 0.645382i −0.380030 0.924974i \(-0.624086\pi\)
−0.960119 + 0.279593i \(0.909801\pi\)
\(504\) 19.1389 + 25.4662i 0.852514 + 1.13436i
\(505\) 21.6970 10.4487i 0.965505 0.464963i
\(506\) −5.88366 5.45924i −0.261561 0.242693i
\(507\) 0.367066 + 0.0553263i 0.0163020 + 0.00245713i
\(508\) 18.7797 + 32.5274i 0.833215 + 1.44317i
\(509\) −6.27672 + 10.8716i −0.278211 + 0.481875i −0.970940 0.239322i \(-0.923075\pi\)
0.692729 + 0.721198i \(0.256408\pi\)
\(510\) 0.331733 0.415980i 0.0146894 0.0184199i
\(511\) 1.38482 13.3305i 0.0612609 0.589706i
\(512\) 17.1218 + 21.4700i 0.756683 + 0.948851i
\(513\) 5.10520 0.769485i 0.225400 0.0339736i
\(514\) −22.6811 15.4637i −1.00042 0.682074i
\(515\) −34.9449 23.8250i −1.53986 1.04986i
\(516\) −2.93900 + 0.442983i −0.129382 + 0.0195012i
\(517\) 7.89340 + 9.89801i 0.347151 + 0.435314i
\(518\) −1.47608 + 14.2089i −0.0648550 + 0.624304i
\(519\) 0.506458 0.635078i 0.0222310 0.0278768i
\(520\) 5.00501 8.66892i 0.219484 0.380157i
\(521\) −16.7617 29.0322i −0.734344 1.27192i −0.955010 0.296572i \(-0.904156\pi\)
0.220666 0.975349i \(-0.429177\pi\)
\(522\) 56.2693 + 8.48124i 2.46284 + 0.371214i
\(523\) 29.9162 + 27.7582i 1.30814 + 1.21378i 0.961187 + 0.275898i \(0.0889753\pi\)
0.346956 + 0.937881i \(0.387215\pi\)
\(524\) 29.9529 14.4245i 1.30850 0.630139i
\(525\) −0.390660 0.519812i −0.0170498 0.0226865i
\(526\) 56.1636 + 27.0469i 2.44885 + 1.17930i
\(527\) 0.285447 + 0.727307i 0.0124343 + 0.0316820i
\(528\) 0.199758 + 2.66558i 0.00869334 + 0.116005i
\(529\) −20.6013 + 6.35467i −0.895710 + 0.276290i
\(530\) −3.76529 + 50.2444i −0.163554 + 2.18248i
\(531\) −2.56912 11.2560i −0.111490 0.488470i
\(532\) −9.23453 + 21.6776i −0.400368 + 0.939845i
\(533\) −2.43938 + 10.6876i −0.105661 + 0.462933i
\(534\) 4.18330 + 1.29038i 0.181029 + 0.0558401i
\(535\) −7.94973 + 20.2556i −0.343697 + 0.875725i
\(536\) 37.8968 35.1631i 1.63689 1.51882i
\(537\) 1.54337 1.05225i 0.0666015 0.0454081i
\(538\) 13.0400 0.562193
\(539\) 17.0657 + 9.46145i 0.735073 + 0.407533i
\(540\) −19.4374 −0.836451
\(541\) −19.0228 + 12.9695i −0.817856 + 0.557604i −0.898416 0.439145i \(-0.855281\pi\)
0.0805605 + 0.996750i \(0.474329\pi\)
\(542\) 6.71714 6.23259i 0.288526 0.267713i
\(543\) 2.14588 5.46762i 0.0920887 0.234638i
\(544\) −0.532027 0.164109i −0.0228105 0.00703610i
\(545\) 3.67503 16.1014i 0.157421 0.689707i
\(546\) 2.31849 + 0.417854i 0.0992224 + 0.0178825i
\(547\) 3.17990 + 13.9320i 0.135963 + 0.595691i 0.996298 + 0.0859632i \(0.0273968\pi\)
−0.860336 + 0.509728i \(0.829746\pi\)
\(548\) 3.26871 43.6179i 0.139632 1.86326i
\(549\) −9.24473 + 2.85162i −0.394555 + 0.121704i
\(550\) 0.330830 + 4.41462i 0.0141066 + 0.188240i
\(551\) 7.18422 + 18.3051i 0.306058 + 0.779823i
\(552\) −1.68884 0.813303i −0.0718819 0.0346165i
\(553\) 11.2712 + 0.323717i 0.479302 + 0.0137658i
\(554\) 63.6967 30.6747i 2.70621 1.30324i
\(555\) −1.45751 1.35237i −0.0618678 0.0574049i
\(556\) 17.3515 + 2.61532i 0.735868 + 0.110914i
\(557\) −15.9801 27.6784i −0.677100 1.17277i −0.975850 0.218440i \(-0.929903\pi\)
0.298750 0.954331i \(-0.403430\pi\)
\(558\) 10.6807 18.4995i 0.452150 0.783147i
\(559\) 1.32990 1.66764i 0.0562486 0.0705335i
\(560\) 8.53240 13.8448i 0.360560 0.585049i
\(561\) −0.162014 0.203159i −0.00684022 0.00857736i
\(562\) 28.5349 4.30095i 1.20367 0.181424i
\(563\) 0.0978601 + 0.0667199i 0.00412431 + 0.00281191i 0.565380 0.824830i \(-0.308729\pi\)
−0.561256 + 0.827642i \(0.689682\pi\)
\(564\) 5.22881 + 3.56494i 0.220172 + 0.150111i
\(565\) −38.7511 + 5.84079i −1.63027 + 0.245724i
\(566\) 25.9359 + 32.5226i 1.09017 + 1.36703i
\(567\) 6.96590 + 19.3661i 0.292540 + 0.813298i
\(568\) −4.79725 + 6.01556i −0.201288 + 0.252407i
\(569\) 10.3819 17.9819i 0.435231 0.753842i −0.562083 0.827080i \(-0.690000\pi\)
0.997314 + 0.0732383i \(0.0233334\pi\)
\(570\) −2.51341 4.35336i −0.105275 0.182342i
\(571\) −11.6830 1.76093i −0.488919 0.0736927i −0.100044 0.994983i \(-0.531898\pi\)
−0.388875 + 0.921290i \(0.627136\pi\)
\(572\) −7.67058 7.11726i −0.320723 0.297587i
\(573\) −4.06516 + 1.95768i −0.169825 + 0.0817833i
\(574\) −17.4221 + 67.3552i −0.727183 + 2.81135i
\(575\) −0.716022 0.344818i −0.0298602 0.0143799i
\(576\) 10.9637 + 27.9349i 0.456819 + 1.16396i
\(577\) 3.09390 + 41.2852i 0.128801 + 1.71872i 0.570277 + 0.821452i \(0.306836\pi\)
−0.441477 + 0.897273i \(0.645545\pi\)
\(578\) 38.8217 11.9749i 1.61477 0.498091i
\(579\) −0.472432 + 6.30417i −0.0196336 + 0.261992i
\(580\) −16.4740 72.1773i −0.684045 2.99700i
\(581\) 15.2620 + 11.0603i 0.633173 + 0.458861i
\(582\) 3.23815 14.1873i 0.134226 0.588081i
\(583\) 23.5142 + 7.25317i 0.973858 + 0.300395i
\(584\) −7.78526 + 19.8365i −0.322156 + 0.820841i
\(585\) 4.99255 4.63241i 0.206417 0.191527i
\(586\) −0.459528 + 0.313301i −0.0189829 + 0.0129423i
\(587\) −1.93171 −0.0797302 −0.0398651 0.999205i \(-0.512693\pi\)
−0.0398651 + 0.999205i \(0.512693\pi\)
\(588\) 9.54581 + 2.00495i 0.393663 + 0.0826827i
\(589\) 7.38178 0.304161
\(590\) −19.0231 + 12.9698i −0.783170 + 0.533956i
\(591\) −6.81800 + 6.32618i −0.280455 + 0.260224i
\(592\) 2.12434 5.41274i 0.0873099 0.222462i
\(593\) −28.0202 8.64307i −1.15065 0.354928i −0.339980 0.940433i \(-0.610420\pi\)
−0.810669 + 0.585504i \(0.800897\pi\)
\(594\) −3.23785 + 14.1859i −0.132850 + 0.582056i
\(595\) 0.0728343 + 1.57924i 0.00298592 + 0.0647426i
\(596\) −2.51468 11.0175i −0.103005 0.451295i
\(597\) −0.710794 + 9.48488i −0.0290909 + 0.388190i
\(598\) 2.75138 0.848687i 0.112512 0.0347054i
\(599\) −2.18182 29.1144i −0.0891469 1.18958i −0.844972 0.534810i \(-0.820383\pi\)
0.755826 0.654773i \(-0.227236\pi\)
\(600\) 0.377723 + 0.962424i 0.0154205 + 0.0392908i
\(601\) −5.09871 2.45541i −0.207981 0.100158i 0.326994 0.945027i \(-0.393964\pi\)
−0.534974 + 0.844868i \(0.679679\pi\)
\(602\) 8.74036 10.3368i 0.356231 0.421295i
\(603\) 31.6907 15.2614i 1.29054 0.621493i
\(604\) 44.8745 + 41.6374i 1.82592 + 1.69420i
\(605\) −7.59862 1.14531i −0.308928 0.0465634i
\(606\) −4.50579 7.80426i −0.183035 0.317026i
\(607\) −2.18799 + 3.78972i −0.0888079 + 0.153820i −0.907007 0.421114i \(-0.861639\pi\)
0.818200 + 0.574934i \(0.194972\pi\)
\(608\) −3.27970 + 4.11261i −0.133009 + 0.166788i
\(609\) 6.85477 4.39066i 0.277769 0.177918i
\(610\) 12.0288 + 15.0837i 0.487033 + 0.610720i
\(611\) −4.49087 + 0.676889i −0.181681 + 0.0273840i
\(612\) 2.22918 + 1.51983i 0.0901094 + 0.0614356i
\(613\) 2.21996 + 1.51354i 0.0896634 + 0.0611315i 0.607322 0.794456i \(-0.292244\pi\)
−0.517658 + 0.855587i \(0.673196\pi\)
\(614\) 69.9189 10.5386i 2.82170 0.425302i
\(615\) −6.03738 7.57063i −0.243451 0.305277i
\(616\) −22.1283 21.7471i −0.891574 0.876216i
\(617\) −27.2289 + 34.1439i −1.09619 + 1.37458i −0.175416 + 0.984494i \(0.556127\pi\)
−0.920777 + 0.390088i \(0.872444\pi\)
\(618\) −7.91332 + 13.7063i −0.318320 + 0.551347i
\(619\) −9.62045 16.6631i −0.386679 0.669747i 0.605322 0.795981i \(-0.293044\pi\)
−0.992001 + 0.126234i \(0.959711\pi\)
\(620\) −27.4808 4.14207i −1.10366 0.166350i
\(621\) −1.91482 1.77669i −0.0768391 0.0712962i
\(622\) −25.2322 + 12.1512i −1.01172 + 0.487219i
\(623\) −11.8769 + 5.30512i −0.475837 + 0.212545i
\(624\) −0.863956 0.416059i −0.0345859 0.0166557i
\(625\) −10.1828 25.9453i −0.407312 1.03781i
\(626\) −1.86019 24.8225i −0.0743482 0.992107i
\(627\) −2.34596 + 0.723632i −0.0936885 + 0.0288991i
\(628\) 1.98528 26.4917i 0.0792213 1.05713i
\(629\) 0.125780 + 0.551077i 0.00501517 + 0.0219729i
\(630\) 32.5155 28.4772i 1.29545 1.13456i
\(631\) −4.43962 + 19.4513i −0.176739 + 0.774342i 0.806384 + 0.591393i \(0.201422\pi\)
−0.983122 + 0.182950i \(0.941435\pi\)
\(632\) −17.1322 5.28458i −0.681482 0.210209i
\(633\) 0.394540 1.00527i 0.0156815 0.0399559i
\(634\) 23.5748 21.8742i 0.936276 0.868737i
\(635\) 19.6719 13.4121i 0.780654 0.532241i
\(636\) 12.3007 0.487753
\(637\) −6.00046 + 3.60479i −0.237747 + 0.142827i
\(638\) −55.4212 −2.19415
\(639\) −4.32536 + 2.94898i −0.171109 + 0.116660i
\(640\) 36.1339 33.5274i 1.42832 1.32529i
\(641\) −15.7679 + 40.1759i −0.622794 + 1.58685i 0.175430 + 0.984492i \(0.443868\pi\)
−0.798224 + 0.602361i \(0.794227\pi\)
\(642\) 7.78087 + 2.40008i 0.307086 + 0.0947236i
\(643\) −9.59265 + 42.0282i −0.378297 + 1.65743i 0.324385 + 0.945925i \(0.394843\pi\)
−0.702682 + 0.711504i \(0.748014\pi\)
\(644\) 11.4879 3.18539i 0.452687 0.125522i
\(645\) 0.419246 + 1.83684i 0.0165078 + 0.0723254i
\(646\) −0.106795 + 1.42509i −0.00420181 + 0.0560692i
\(647\) 7.90679 2.43892i 0.310848 0.0958839i −0.135406 0.990790i \(-0.543234\pi\)
0.446254 + 0.894906i \(0.352758\pi\)
\(648\) −2.44543 32.6320i −0.0960655 1.28191i
\(649\) 4.10807 + 10.4672i 0.161256 + 0.410873i
\(650\) −1.43084 0.689058i −0.0561223 0.0270271i
\(651\) −0.594170 2.99748i −0.0232874 0.117480i
\(652\) −49.3684 + 23.7746i −1.93342 + 0.931085i
\(653\) −6.80243 6.31174i −0.266200 0.246997i 0.535767 0.844366i \(-0.320023\pi\)
−0.801967 + 0.597369i \(0.796213\pi\)
\(654\) −6.11115 0.921107i −0.238965 0.0360182i
\(655\) −10.5371 18.2507i −0.411717 0.713115i
\(656\) 14.1592 24.5244i 0.552824 0.957519i
\(657\) −9.03977 + 11.3355i −0.352675 + 0.442241i
\(658\) −28.6122 + 3.47580i −1.11542 + 0.135501i
\(659\) 2.23654 + 2.80453i 0.0871233 + 0.109249i 0.823483 0.567342i \(-0.192028\pi\)
−0.736359 + 0.676591i \(0.763457\pi\)
\(660\) 9.13956 1.37757i 0.355757 0.0536217i
\(661\) −15.6407 10.6636i −0.608352 0.414768i 0.219581 0.975594i \(-0.429531\pi\)
−0.827933 + 0.560827i \(0.810483\pi\)
\(662\) −53.3119 36.3474i −2.07202 1.41268i
\(663\) 0.0921759 0.0138933i 0.00357982 0.000539570i
\(664\) −18.6853 23.4306i −0.725130 0.909284i
\(665\) 14.1405 + 4.81050i 0.548345 + 0.186543i
\(666\) 9.63545 12.0825i 0.373366 0.468186i
\(667\) 4.97455 8.61617i 0.192615 0.333620i
\(668\) −11.2061 19.4095i −0.433576 0.750976i
\(669\) 9.85036 + 1.48470i 0.380837 + 0.0574019i
\(670\) −51.4186 47.7095i −1.98647 1.84318i
\(671\) 8.48920 4.08818i 0.327722 0.157823i
\(672\) 1.93397 + 1.00074i 0.0746046 + 0.0386043i
\(673\) −26.6725 12.8448i −1.02815 0.495131i −0.157752 0.987479i \(-0.550425\pi\)
−0.870399 + 0.492347i \(0.836139\pi\)
\(674\) 16.6866 + 42.5167i 0.642743 + 1.63768i
\(675\) 0.107668 + 1.43672i 0.00414413 + 0.0552995i
\(676\) 3.58699 1.10644i 0.137961 0.0425554i
\(677\) −2.64453 + 35.2887i −0.101637 + 1.35626i 0.680316 + 0.732919i \(0.261843\pi\)
−0.781953 + 0.623337i \(0.785776\pi\)
\(678\) 3.26320 + 14.2970i 0.125322 + 0.549073i
\(679\) 20.5356 + 38.0514i 0.788084 + 1.46028i
\(680\) 0.559344 2.45064i 0.0214499 0.0939779i
\(681\) −2.49499 0.769602i −0.0956081 0.0294912i
\(682\) −7.60072 + 19.3663i −0.291046 + 0.741574i
\(683\) 32.0077 29.6988i 1.22474 1.13639i 0.238487 0.971146i \(-0.423349\pi\)
0.986252 0.165246i \(-0.0528420\pi\)
\(684\) 21.0611 14.3592i 0.805290 0.549037i
\(685\) −27.7269 −1.05939
\(686\) −38.7222 + 21.7746i −1.47842 + 0.831360i
\(687\) 6.40289 0.244286
\(688\) −4.55253 + 3.10387i −0.173564 + 0.118334i
\(689\) −6.47104 + 6.00425i −0.246527 + 0.228744i
\(690\) −0.929169 + 2.36748i −0.0353729 + 0.0901286i
\(691\) −18.2951 5.64328i −0.695977 0.214681i −0.0734734 0.997297i \(-0.523408\pi\)
−0.622504 + 0.782617i \(0.713885\pi\)
\(692\) 1.82780 8.00813i 0.0694827 0.304424i
\(693\) −10.0255 18.5768i −0.380838 0.705672i
\(694\) 17.9240 + 78.5300i 0.680384 + 2.98096i
\(695\) 0.831251 11.0923i 0.0315311 0.420754i
\(696\) −12.3682 + 3.81508i −0.468815 + 0.144610i
\(697\) 0.205721 + 2.74515i 0.00779223 + 0.103980i
\(698\) 30.3363 + 77.2956i 1.14825 + 2.92568i
\(699\) −3.77174 1.81637i −0.142660 0.0687016i
\(700\) −5.83989 3.02186i −0.220727 0.114216i
\(701\) 9.68915 4.66605i 0.365954 0.176234i −0.241865 0.970310i \(-0.577759\pi\)
0.607819 + 0.794076i \(0.292045\pi\)
\(702\) −3.82643 3.55041i −0.144419 0.134001i
\(703\) 5.28076 + 0.795946i 0.199168 + 0.0300197i
\(704\) −14.6135 25.3113i −0.550766 0.953954i
\(705\) 2.00580 3.47415i 0.0755429 0.130844i
\(706\) 14.3736 18.0239i 0.540958 0.678340i
\(707\) 25.3496 + 8.62379i 0.953372 + 0.324331i
\(708\) 3.50454 + 4.39455i 0.131709 + 0.165157i
\(709\) 30.0835 4.53436i 1.12981 0.170291i 0.442578 0.896730i \(-0.354064\pi\)
0.687231 + 0.726439i \(0.258826\pi\)
\(710\) 8.62553 + 5.88079i 0.323710 + 0.220702i
\(711\) −10.0788 6.87159i −0.377984 0.257705i
\(712\) 20.4515 3.08257i 0.766454 0.115524i
\(713\) −2.32859 2.91996i −0.0872064 0.109353i
\(714\) 0.587272 0.0713414i 0.0219781 0.00266989i
\(715\) −4.13565 + 5.18594i −0.154665 + 0.193943i
\(716\) 9.44452 16.3584i 0.352958 0.611342i
\(717\) −1.68307 2.91515i −0.0628552 0.108868i
\(718\) −29.6426 4.46790i −1.10625 0.166741i
\(719\) −38.6354 35.8484i −1.44086 1.33692i −0.846111 0.533007i \(-0.821062\pi\)
−0.594747 0.803913i \(-0.702748\pi\)
\(720\) −15.8510 + 7.63345i −0.590733 + 0.284482i
\(721\) −9.14378 46.1286i −0.340532 1.71792i
\(722\) −28.8972 13.9162i −1.07544 0.517906i
\(723\) 0.0561424 + 0.143048i 0.00208796 + 0.00532003i
\(724\) −4.43862 59.2292i −0.164960 2.20124i
\(725\) −5.24377 + 1.61749i −0.194749 + 0.0600720i
\(726\) −0.214891 + 2.86752i −0.00797536 + 0.106424i
\(727\) 7.59109 + 33.2588i 0.281538 + 1.23350i 0.895822 + 0.444414i \(0.146588\pi\)
−0.614284 + 0.789085i \(0.710555\pi\)
\(728\) 10.7253 2.97394i 0.397508 0.110222i
\(729\) 4.41506 19.3436i 0.163521 0.716431i
\(730\) 27.6284 + 8.52223i 1.02257 + 0.315422i
\(731\) 0.195686 0.498600i 0.00723771 0.0184414i
\(732\) 3.45266 3.20360i 0.127614 0.118408i
\(733\) 30.2383 20.6161i 1.11688 0.761474i 0.143266 0.989684i \(-0.454240\pi\)
0.973612 + 0.228210i \(0.0732872\pi\)
\(734\) 57.3145 2.11552
\(735\) 0.815185 6.12915i 0.0300685 0.226077i
\(736\) 2.66138 0.0980998
\(737\) −28.3044 + 19.2976i −1.04261 + 0.710836i
\(738\) 55.1722 51.1923i 2.03092 1.88441i
\(739\) −4.27560 + 10.8941i −0.157281 + 0.400744i −0.987693 0.156405i \(-0.950010\pi\)
0.830412 + 0.557149i \(0.188105\pi\)
\(740\) −19.2125 5.92629i −0.706267 0.217855i
\(741\) 0.195975 0.858623i 0.00719932 0.0315423i
\(742\) −42.1446 + 36.9105i −1.54718 + 1.35503i
\(743\) −1.57366 6.89465i −0.0577319 0.252940i 0.937824 0.347111i \(-0.112837\pi\)
−0.995556 + 0.0941707i \(0.969980\pi\)
\(744\) −0.363093 + 4.84514i −0.0133116 + 0.177631i
\(745\) −6.84535 + 2.11151i −0.250794 + 0.0773598i
\(746\) 0.435599 + 5.81266i 0.0159484 + 0.212817i
\(747\) −7.44942 18.9808i −0.272560 0.694471i
\(748\) −2.36743 1.14009i −0.0865617 0.0416859i
\(749\) −22.0908 + 9.86743i −0.807180 + 0.360548i
\(750\) −8.28091 + 3.98787i −0.302376 + 0.145617i
\(751\) −7.95563 7.38175i −0.290305 0.269364i 0.521553 0.853219i \(-0.325353\pi\)
−0.811858 + 0.583855i \(0.801544\pi\)
\(752\) 11.6008 + 1.74855i 0.423039 + 0.0637629i
\(753\) 1.93172 + 3.34584i 0.0703958 + 0.121929i
\(754\) 9.94076 17.2179i 0.362021 0.627039i
\(755\) 24.1944 30.3388i 0.880525 1.10414i
\(756\) −15.4143 15.1488i −0.560613 0.550956i
\(757\) 12.9134 + 16.1929i 0.469345 + 0.588540i 0.959011 0.283370i \(-0.0914525\pi\)
−0.489665 + 0.871910i \(0.662881\pi\)
\(758\) −28.1106 + 4.23699i −1.02102 + 0.153894i
\(759\) 1.02628 + 0.699704i 0.0372515 + 0.0253976i
\(760\) −19.6222 13.3782i −0.711772 0.485278i
\(761\) 41.5899 6.26867i 1.50763 0.227239i 0.657358 0.753579i \(-0.271674\pi\)
0.850275 + 0.526340i \(0.176436\pi\)
\(762\) −5.55494 6.96568i −0.201234 0.252340i
\(763\) 15.4632 9.90459i 0.559806 0.358570i
\(764\) −28.4474 + 35.6719i −1.02919 + 1.29056i
\(765\) 0.855128 1.48113i 0.0309172 0.0535502i
\(766\) −43.5536 75.4370i −1.57365 2.72565i
\(767\) −3.98873 0.601204i −0.144025 0.0217082i
\(768\) −7.81537 7.25160i −0.282013 0.261670i
\(769\) −40.3765 + 19.4443i −1.45601 + 0.701179i −0.983628 0.180212i \(-0.942322\pi\)
−0.472386 + 0.881392i \(0.656607\pi\)
\(770\) −27.1804 + 32.1448i −0.979513 + 1.15842i
\(771\) 3.82749 + 1.84322i 0.137844 + 0.0663820i
\(772\) 23.3554 + 59.5086i 0.840579 + 2.14176i
\(773\) 3.32465 + 44.3644i 0.119579 + 1.59568i 0.658012 + 0.753008i \(0.271398\pi\)
−0.538433 + 0.842669i \(0.680983\pi\)
\(774\) −13.9936 + 4.31644i −0.502988 + 0.155151i
\(775\) −0.153941 + 2.05421i −0.00552974 + 0.0737892i
\(776\) −15.2984 67.0266i −0.549180 2.40611i
\(777\) −0.101851 2.20839i −0.00365387 0.0792257i
\(778\) 1.36185 5.96666i 0.0488248 0.213915i
\(779\) 24.8531 + 7.66617i 0.890455 + 0.274669i
\(780\) −1.21137 + 3.08651i −0.0433738 + 0.110515i
\(781\) 3.73747 3.46787i 0.133737 0.124090i
\(782\) 0.597400 0.407300i 0.0213630 0.0145650i
\(783\) −18.0367 −0.644578
\(784\) 17.5565 4.32940i 0.627019 0.154621i
\(785\) −16.8402 −0.601053
\(786\) −6.51577 + 4.44238i −0.232410 + 0.158454i
\(787\) −0.440042 + 0.408299i −0.0156858 + 0.0145543i −0.687977 0.725733i \(-0.741501\pi\)
0.672291 + 0.740287i \(0.265310\pi\)
\(788\) −34.3610 + 87.5504i −1.22406 + 3.11885i
\(789\) −9.21838 2.84350i −0.328183 0.101231i
\(790\) −5.41298 + 23.7158i −0.192585 + 0.843771i
\(791\) −35.2827 25.5693i −1.25451 0.909141i
\(792\) 7.46869 + 32.7225i 0.265388 + 1.16274i
\(793\) −0.252596 + 3.37065i −0.00896993 + 0.119695i
\(794\) 15.3299 4.72866i 0.544039 0.167814i
\(795\) −0.582700 7.77559i −0.0206662 0.275772i
\(796\) 35.1391 + 89.5331i 1.24547 + 3.17342i
\(797\) 5.91765 + 2.84979i 0.209614 + 0.100945i 0.535745 0.844380i \(-0.320031\pi\)
−0.326131 + 0.945325i \(0.605745\pi\)
\(798\) 1.39965 5.41118i 0.0495472 0.191554i
\(799\) −1.02752 + 0.494828i −0.0363511 + 0.0175058i
\(800\) −1.07606 0.998441i −0.0380446 0.0353002i
\(801\) 13.9149 + 2.09733i 0.491658 + 0.0741055i
\(802\) 13.6678 + 23.6733i 0.482626 + 0.835933i
\(803\) 7.06032 12.2288i 0.249153 0.431546i
\(804\) −10.6768 + 13.3882i −0.376541 + 0.472167i
\(805\) −2.55778 7.11094i −0.0901497 0.250628i
\(806\) −4.65328 5.83502i −0.163905 0.205530i
\(807\) −1.99547 + 0.300768i −0.0702438 + 0.0105875i
\(808\) −35.1767 23.9831i −1.23751 0.843722i
\(809\) 7.13530 + 4.86476i 0.250864 + 0.171036i 0.682223 0.731144i \(-0.261013\pi\)
−0.431359 + 0.902180i \(0.641966\pi\)
\(810\) −43.9034 + 6.61738i −1.54261 + 0.232511i
\(811\) 22.2175 + 27.8598i 0.780161 + 0.978291i 0.999996 + 0.00275356i \(0.000876487\pi\)
−0.219836 + 0.975537i \(0.570552\pi\)
\(812\) 43.1881 70.0776i 1.51561 2.45924i
\(813\) −0.884148 + 1.10869i −0.0310084 + 0.0388833i
\(814\) −7.52557 + 13.0347i −0.263771 + 0.456865i
\(815\) 17.3672 + 30.0809i 0.608348 + 1.05369i
\(816\) −0.238110 0.0358892i −0.00833550 0.00125637i
\(817\) −3.70963 3.44203i −0.129784 0.120422i
\(818\) 41.8752 20.1660i 1.46413 0.705089i
\(819\) 7.56955 + 0.217402i 0.264502 + 0.00759664i
\(820\) −88.2213 42.4851i −3.08082 1.48365i
\(821\) −11.8391 30.1656i −0.413188 1.05279i −0.974342 0.225074i \(-0.927738\pi\)
0.561154 0.827711i \(-0.310358\pi\)
\(822\) 0.775367 + 10.3466i 0.0270440 + 0.360878i
\(823\) −44.0204 + 13.5785i −1.53445 + 0.473316i −0.942935 0.332976i \(-0.891947\pi\)
−0.591518 + 0.806292i \(0.701471\pi\)
\(824\) −5.58769 + 74.5626i −0.194657 + 2.59751i
\(825\) −0.152450 0.667925i −0.00530761 0.0232542i
\(826\) −25.1940 4.54062i −0.876610 0.157988i
\(827\) −0.458182 + 2.00743i −0.0159326 + 0.0698051i −0.982269 0.187476i \(-0.939969\pi\)
0.966337 + 0.257281i \(0.0828265\pi\)
\(828\) −12.3237 3.80136i −0.428278 0.132106i
\(829\) 7.68617 19.5840i 0.266952 0.680182i −0.733048 0.680177i \(-0.761903\pi\)
1.00000 5.16769e-6i \(-1.64493e-6\pi\)
\(830\) −29.8073 + 27.6571i −1.03463 + 0.959992i
\(831\) −9.03980 + 6.16323i −0.313587 + 0.213800i
\(832\) 10.4847 0.363492
\(833\) −1.17305 + 1.30914i −0.0406436 + 0.0453591i
\(834\) −4.16243 −0.144133
\(835\) −11.7384 + 8.00313i −0.406225 + 0.276960i
\(836\) −18.1985 + 16.8857i −0.629409 + 0.584006i
\(837\) −2.47363 + 6.30271i −0.0855012 + 0.217853i
\(838\) −6.53700 2.01640i −0.225817 0.0696552i
\(839\) −7.40788 + 32.4560i −0.255748 + 1.12051i 0.669998 + 0.742363i \(0.266295\pi\)
−0.925747 + 0.378144i \(0.876562\pi\)
\(840\) −3.85298 + 9.04470i −0.132941 + 0.312072i
\(841\) −8.83374 38.7031i −0.304612 1.33459i
\(842\) −0.540265 + 7.20934i −0.0186188 + 0.248450i
\(843\) −4.26741 + 1.31632i −0.146977 + 0.0453366i
\(844\) −0.816079 10.8898i −0.0280906 0.374843i
\(845\) −0.869333 2.21502i −0.0299060 0.0761992i
\(846\) 28.0927 + 13.5287i 0.965848 + 0.465128i
\(847\) −5.13328 6.83035i −0.176382 0.234694i
\(848\) 20.5451 9.89401i 0.705522 0.339762i
\(849\) −4.71903 4.37862i −0.161957 0.150274i
\(850\) −0.394346 0.0594381i −0.0135260 0.00203871i
\(851\) −1.35097 2.33996i −0.0463108 0.0802126i
\(852\) 1.27431 2.20717i 0.0436572 0.0756164i
\(853\) 28.5722 35.8284i 0.978294 1.22674i 0.00434195 0.999991i \(-0.498618\pi\)
0.973953 0.226752i \(-0.0728107\pi\)
\(854\) −2.21652 + 21.3366i −0.0758478 + 0.730122i
\(855\) −10.0745 12.6331i −0.344542 0.432042i
\(856\) 38.0395 5.73353i 1.30016 0.195968i
\(857\) 42.0312 + 28.6564i 1.43576 + 0.978884i 0.996763 + 0.0803949i \(0.0256181\pi\)
0.438996 + 0.898489i \(0.355334\pi\)
\(858\) 2.05083 + 1.39823i 0.0700143 + 0.0477349i
\(859\) 26.6968 4.02390i 0.910885 0.137294i 0.323150 0.946348i \(-0.395258\pi\)
0.587734 + 0.809054i \(0.300020\pi\)
\(860\) 11.8788 + 14.8955i 0.405063 + 0.507933i
\(861\) 1.11249 10.7090i 0.0379137 0.364962i
\(862\) −31.6413 + 39.6770i −1.07771 + 1.35140i
\(863\) 4.00709 6.94049i 0.136403 0.236257i −0.789730 0.613455i \(-0.789779\pi\)
0.926133 + 0.377198i \(0.123112\pi\)
\(864\) −2.41240 4.17840i −0.0820716 0.142152i
\(865\) −5.14875 0.776049i −0.175063 0.0263865i
\(866\) 4.45148 + 4.13037i 0.151267 + 0.140356i
\(867\) −5.66457 + 2.72791i −0.192379 + 0.0926448i
\(868\) −18.5648 24.7023i −0.630130 0.838452i
\(869\) 10.7038 + 5.15468i 0.363102 + 0.174861i
\(870\) 6.41590 + 16.3475i 0.217520 + 0.554231i
\(871\) −0.918369 12.2548i −0.0311177 0.415237i
\(872\) −27.9006 + 8.60619i −0.944833 + 0.291442i
\(873\) 3.49561 46.6457i 0.118309 1.57872i
\(874\) −1.52007 6.65988i −0.0514173 0.225274i
\(875\) 10.7031 25.1251i 0.361832 0.849383i
\(876\) 1.57068 6.88160i 0.0530684 0.232508i
\(877\) −12.9466 3.99349i −0.437174 0.134850i 0.0683526 0.997661i \(-0.478226\pi\)
−0.505527 + 0.862811i \(0.668702\pi\)
\(878\) −0.288862 + 0.736008i −0.00974862 + 0.0248391i
\(879\) 0.0630938 0.0585425i 0.00212810 0.00197459i
\(880\) 14.1573 9.65226i 0.477241 0.325378i
\(881\) 28.1306 0.947745 0.473872 0.880594i \(-0.342856\pi\)
0.473872 + 0.880594i \(0.342856\pi\)
\(882\) 47.9797 + 2.75829i 1.61556 + 0.0928763i
\(883\) 39.1564 1.31772 0.658860 0.752266i \(-0.271039\pi\)
0.658860 + 0.752266i \(0.271039\pi\)
\(884\) 0.778835 0.531001i 0.0261951 0.0178595i
\(885\) 2.61191 2.42349i 0.0877982 0.0814649i
\(886\) −30.8531 + 78.6125i −1.03653 + 2.64104i
\(887\) 36.7236 + 11.3277i 1.23306 + 0.380348i 0.841728 0.539902i \(-0.181539\pi\)
0.391331 + 0.920250i \(0.372015\pi\)
\(888\) −0.782179 + 3.42695i −0.0262482 + 0.115001i
\(889\) 26.0531 + 4.69547i 0.873794 + 0.157481i
\(890\) −6.24441 27.3586i −0.209313 0.917061i
\(891\) −1.62045 + 21.6234i −0.0542870 + 0.724410i
\(892\) 96.2584 29.6918i 3.22297 0.994155i
\(893\) 0.805214 + 10.7448i 0.0269455 + 0.359562i
\(894\) 0.979357 + 2.49536i 0.0327546 + 0.0834573i
\(895\) −10.7880 5.19522i −0.360603 0.173657i
\(896\) 54.7851 + 1.57346i 1.83024 + 0.0525656i
\(897\) −0.401460 + 0.193333i −0.0134044 + 0.00645520i
\(898\) −56.0877 52.0418i −1.87167 1.73666i
\(899\) −25.5005 3.84358i −0.850490 0.128191i
\(900\) 3.55667 + 6.16033i 0.118556 + 0.205344i
\(901\) −1.10837 + 1.91974i −0.0369250 + 0.0639560i
\(902\) −45.7026 + 57.3093i −1.52173 + 1.90819i
\(903\) −1.09909 + 1.78340i −0.0365755 + 0.0593479i
\(904\) 43.1967 + 54.1669i 1.43670 + 1.80156i
\(905\) −37.2302 + 5.61155i −1.23757 + 0.186534i
\(906\) −11.9978 8.17996i −0.398600 0.271761i
\(907\) −10.8761 7.41517i −0.361133 0.246217i 0.369137 0.929375i \(-0.379653\pi\)
−0.730270 + 0.683159i \(0.760606\pi\)
\(908\) −26.1079 + 3.93513i −0.866420 + 0.130592i
\(909\) −18.0606 22.6473i −0.599033 0.751163i
\(910\) −5.11126 14.2099i −0.169437 0.471055i
\(911\) 8.89500 11.1540i 0.294704 0.369548i −0.612331 0.790601i \(-0.709768\pi\)
0.907036 + 0.421054i \(0.138340\pi\)
\(912\) −1.13752 + 1.97024i −0.0376671 + 0.0652413i
\(913\) 9.92934 + 17.1981i 0.328613 + 0.569175i
\(914\) 54.7325 + 8.24959i 1.81039 + 0.272872i
\(915\) −2.18864 2.03076i −0.0723543 0.0671350i
\(916\) 58.3352 28.0928i 1.92745 0.928211i
\(917\) 5.86782 22.6855i 0.193773 0.749141i
\(918\) −1.18098 0.568729i −0.0389781 0.0187709i
\(919\) 0.823705 + 2.09877i 0.0271715 + 0.0692319i 0.943816 0.330472i \(-0.107208\pi\)
−0.916644 + 0.399704i \(0.869113\pi\)
\(920\) 0.897926 + 11.9820i 0.0296037 + 0.395034i
\(921\) −10.4564 + 3.22538i −0.344550 + 0.106280i
\(922\) −2.31932 + 30.9491i −0.0763827 + 1.01926i
\(923\) 0.406993 + 1.78315i 0.0133963 + 0.0586932i
\(924\) 8.32152 + 6.03060i 0.273758 + 0.198392i
\(925\) −0.331622 + 1.45293i −0.0109037 + 0.0477721i
\(926\) −65.8065 20.2986i −2.16254 0.667054i
\(927\) −18.5861 + 47.3567i −0.610449 + 1.55540i
\(928\) 13.4712 12.4994i 0.442213 0.410313i
\(929\) 21.0484 14.3506i 0.690576 0.470827i −0.166483 0.986044i \(-0.553241\pi\)
0.857060 + 0.515217i \(0.172289\pi\)
\(930\) 6.59234 0.216171
\(931\) 7.46462 + 14.8354i 0.244643 + 0.486212i
\(932\) −42.3328 −1.38666
\(933\) 3.58095 2.44145i 0.117235 0.0799294i
\(934\) −4.86756 + 4.51643i −0.159271 + 0.147782i
\(935\) −0.608536 + 1.55052i −0.0199012 + 0.0507076i
\(936\) −11.5056 3.54902i −0.376074 0.116003i
\(937\) −8.22949 + 36.0558i −0.268846 + 1.17789i 0.642512 + 0.766276i \(0.277892\pi\)
−0.911358 + 0.411615i \(0.864965\pi\)
\(938\) −3.59313 77.9085i −0.117320 2.54380i
\(939\) 0.857194 + 3.75561i 0.0279735 + 0.122560i
\(940\) 3.03150 40.4526i 0.0988767 1.31942i
\(941\) −37.1800 + 11.4685i −1.21203 + 0.373863i −0.833914 0.551894i \(-0.813905\pi\)
−0.378119 + 0.925757i \(0.623429\pi\)
\(942\) 0.470927 + 6.28408i 0.0153436 + 0.204746i
\(943\) −4.80748 12.2493i −0.156553 0.398891i
\(944\) 9.38819 + 4.52111i 0.305560 + 0.147150i
\(945\) −8.84577 + 10.4614i −0.287753 + 0.340310i
\(946\) 12.8499 6.18820i 0.417787 0.201196i
\(947\) 24.3907 + 22.6312i 0.792590 + 0.735416i 0.968506 0.248989i \(-0.0800984\pi\)
−0.175916 + 0.984405i \(0.556289\pi\)
\(948\) 5.87237 + 0.885117i 0.190726 + 0.0287473i
\(949\) 2.53278 + 4.38691i 0.0822176 + 0.142405i
\(950\) −1.88391 + 3.26303i −0.0611221 + 0.105867i
\(951\) −3.10305 + 3.89111i −0.100623 + 0.126178i
\(952\) 2.35352 1.50749i 0.0762780 0.0488580i
\(953\) −13.5771 17.0252i −0.439806 0.551499i 0.511686 0.859172i \(-0.329021\pi\)
−0.951492 + 0.307673i \(0.900450\pi\)
\(954\) 59.9291 9.03286i 1.94028 0.292450i
\(955\) 23.8968 + 16.2926i 0.773282 + 0.527215i
\(956\) −28.1243 19.1748i −0.909604 0.620157i
\(957\) 8.48095 1.27830i 0.274150 0.0413215i
\(958\) −8.84551 11.0919i −0.285785 0.358364i
\(959\) −21.9881 21.6094i −0.710033 0.697803i
\(960\) −5.77426 + 7.24069i −0.186363 + 0.233692i
\(961\) 10.6596 18.4631i 0.343860 0.595582i
\(962\) −2.69968 4.67599i −0.0870412 0.150760i
\(963\) 25.8814 + 3.90100i 0.834018 + 0.125708i
\(964\) 1.13913 + 1.05695i 0.0366888 + 0.0340422i
\(965\) 36.5106 17.5826i 1.17532 0.566004i
\(966\) −2.58199 + 1.15331i −0.0830740 + 0.0371072i
\(967\) −23.1469 11.1470i −0.744354 0.358462i 0.0229575 0.999736i \(-0.492692\pi\)
−0.767312 + 0.641274i \(0.778406\pi\)
\(968\) 4.96330 + 12.6463i 0.159526 + 0.406467i
\(969\) −0.0165272 0.220540i −0.000530929 0.00708476i
\(970\) −89.1364 + 27.4949i −2.86200 + 0.882810i
\(971\) −0.391398 + 5.22284i −0.0125605 + 0.167609i 0.987396 + 0.158270i \(0.0505917\pi\)
−0.999956 + 0.00933870i \(0.997027\pi\)
\(972\) 7.86505 + 34.4591i 0.252272 + 1.10527i
\(973\) 9.30412 8.14859i 0.298276 0.261232i
\(974\) 12.5433 54.9557i 0.401913 1.76089i
\(975\) 0.234851 + 0.0724419i 0.00752125 + 0.00232000i
\(976\) 3.18998 8.12794i 0.102109 0.260169i
\(977\) 40.4822 37.5620i 1.29514 1.20171i 0.328814 0.944395i \(-0.393351\pi\)
0.966326 0.257320i \(-0.0828395\pi\)
\(978\) 10.7393 7.32194i 0.343405 0.234130i
\(979\) −13.7051 −0.438018
\(980\) −19.4648 59.4178i −0.621779 1.89803i
\(981\) −19.8657 −0.634262
\(982\) 68.8236 46.9232i 2.19625 1.49738i
\(983\) −32.4388 + 30.0988i −1.03464 + 0.960003i −0.999225 0.0393693i \(-0.987465\pi\)
−0.0354129 + 0.999373i \(0.511275\pi\)
\(984\) −6.25427 + 15.9356i −0.199379 + 0.508009i
\(985\) 56.9708 + 17.5731i 1.81524 + 0.559927i
\(986\) 1.11095 4.86738i 0.0353798 0.155009i
\(987\) 4.29828 1.19184i 0.136816 0.0379365i
\(988\) −1.98173 8.68254i −0.0630474 0.276229i
\(989\) −0.191335 + 2.55319i −0.00608409 + 0.0811866i
\(990\) 43.5165 13.4231i 1.38305 0.426613i
\(991\) 3.02885 + 40.4172i 0.0962147 + 1.28390i 0.811205 + 0.584762i \(0.198812\pi\)
−0.714990 + 0.699134i \(0.753569\pi\)
\(992\) −2.52028 6.42157i −0.0800190 0.203885i
\(993\) 8.99651 + 4.33249i 0.285496 + 0.137487i
\(994\) 2.25698 + 11.3860i 0.0715870 + 0.361143i
\(995\) 54.9318 26.4537i 1.74145 0.838640i
\(996\) 7.27692 + 6.75199i 0.230578 + 0.213945i
\(997\) 47.8427 + 7.21112i 1.51519 + 0.228379i 0.853380 0.521290i \(-0.174549\pi\)
0.661813 + 0.749669i \(0.269787\pi\)
\(998\) 40.8296 + 70.7189i 1.29244 + 2.23857i
\(999\) −2.44917 + 4.24209i −0.0774884 + 0.134214i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 637.2.bl.a.625.4 yes 324
49.4 even 21 inner 637.2.bl.a.53.4 324
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.bl.a.53.4 324 49.4 even 21 inner
637.2.bl.a.625.4 yes 324 1.1 even 1 trivial