Properties

Label 280.2.bv.e.117.6
Level $280$
Weight $2$
Character 280.117
Analytic conductor $2.236$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(117,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.117");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bv (of order \(12\), degree \(4\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(40\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 117.6
Character \(\chi\) \(=\) 280.117
Dual form 280.2.bv.e.213.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.29882 - 0.559518i) q^{2} +(1.21391 + 0.325266i) q^{3} +(1.37388 + 1.45343i) q^{4} +(2.11050 - 0.738764i) q^{5} +(-1.39466 - 1.10167i) q^{6} +(2.63915 - 0.186831i) q^{7} +(-0.971208 - 2.65646i) q^{8} +(-1.23029 - 0.710311i) q^{9} +O(q^{10})\) \(q+(-1.29882 - 0.559518i) q^{2} +(1.21391 + 0.325266i) q^{3} +(1.37388 + 1.45343i) q^{4} +(2.11050 - 0.738764i) q^{5} +(-1.39466 - 1.10167i) q^{6} +(2.63915 - 0.186831i) q^{7} +(-0.971208 - 2.65646i) q^{8} +(-1.23029 - 0.710311i) q^{9} +(-3.15452 - 0.221340i) q^{10} +(1.03641 - 0.598372i) q^{11} +(1.19502 + 2.21121i) q^{12} +(-3.40964 + 3.40964i) q^{13} +(-3.53232 - 1.23399i) q^{14} +(2.80226 - 0.210318i) q^{15} +(-0.224907 + 3.99367i) q^{16} +(6.64507 + 1.78054i) q^{17} +(1.20050 + 1.61094i) q^{18} +(-5.60413 - 3.23554i) q^{19} +(3.97332 + 2.05249i) q^{20} +(3.26446 + 0.631630i) q^{21} +(-1.68091 + 0.197289i) q^{22} +(0.101175 + 0.377591i) q^{23} +(-0.314904 - 3.54060i) q^{24} +(3.90845 - 3.11833i) q^{25} +(6.33627 - 2.52076i) q^{26} +(-3.92836 - 3.92836i) q^{27} +(3.89742 + 3.57913i) q^{28} +0.845412 q^{29} +(-3.75731 - 1.29475i) q^{30} +(-1.69432 + 0.978216i) q^{31} +(2.52664 - 5.06123i) q^{32} +(1.45274 - 0.389261i) q^{33} +(-7.63452 - 6.03064i) q^{34} +(5.43191 - 2.34401i) q^{35} +(-0.657891 - 2.76403i) q^{36} +(2.12857 + 7.94394i) q^{37} +(5.46842 + 7.33801i) q^{38} +(-5.24804 + 3.02996i) q^{39} +(-4.01223 - 4.88897i) q^{40} -9.17369i q^{41} +(-3.88654 - 2.64690i) q^{42} +(-1.94366 - 1.94366i) q^{43} +(2.29359 + 0.684257i) q^{44} +(-3.12129 - 0.590216i) q^{45} +(0.0798602 - 0.547033i) q^{46} +(1.62690 + 6.07167i) q^{47} +(-1.57202 + 4.77481i) q^{48} +(6.93019 - 0.986148i) q^{49} +(-6.82115 + 1.86331i) q^{50} +(7.48737 + 4.32283i) q^{51} +(-9.64010 - 0.271230i) q^{52} +(-0.731932 + 2.73161i) q^{53} +(2.90426 + 7.30023i) q^{54} +(1.74529 - 2.02853i) q^{55} +(-3.05947 - 6.82932i) q^{56} +(-5.75050 - 5.75050i) q^{57} +(-1.09804 - 0.473023i) q^{58} +(-4.65384 + 2.68690i) q^{59} +(4.15565 + 3.78393i) q^{60} +(-2.40927 + 4.17298i) q^{61} +(2.74795 - 0.322527i) q^{62} +(-3.37964 - 1.64476i) q^{63} +(-6.11351 + 5.15994i) q^{64} +(-4.67714 + 9.71498i) q^{65} +(-2.10465 - 0.307253i) q^{66} +(-5.50754 - 1.47574i) q^{67} +(6.54164 + 12.1044i) q^{68} +0.491271i q^{69} +(-8.36660 + 0.00521267i) q^{70} -9.20735 q^{71} +(-0.692037 + 3.95808i) q^{72} +(-2.20801 + 8.24040i) q^{73} +(1.68014 - 11.5087i) q^{74} +(5.75880 - 2.51409i) q^{75} +(-2.99677 - 12.5904i) q^{76} +(2.62344 - 1.77282i) q^{77} +(8.51159 - 0.999006i) q^{78} +(-11.2282 - 6.48258i) q^{79} +(2.47572 + 8.59481i) q^{80} +(-1.35998 - 2.35556i) q^{81} +(-5.13284 + 11.9150i) q^{82} +(-2.85713 + 2.85713i) q^{83} +(3.56695 + 5.61244i) q^{84} +(15.3398 - 1.15130i) q^{85} +(1.43695 + 3.61197i) q^{86} +(1.02626 + 0.274984i) q^{87} +(-2.59612 - 2.17203i) q^{88} +(-1.53866 + 2.66504i) q^{89} +(3.72377 + 2.51301i) q^{90} +(-8.36151 + 9.63556i) q^{91} +(-0.409799 + 0.665816i) q^{92} +(-2.37493 + 0.636362i) q^{93} +(1.28415 - 8.79631i) q^{94} +(-14.2178 - 2.68850i) q^{95} +(4.71337 - 5.32205i) q^{96} +(-7.67886 + 7.67886i) q^{97} +(-9.55285 - 2.59673i) q^{98} -1.70012 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29882 0.559518i −0.918406 0.395639i
\(3\) 1.21391 + 0.325266i 0.700852 + 0.187793i 0.591612 0.806223i \(-0.298492\pi\)
0.109240 + 0.994015i \(0.465158\pi\)
\(4\) 1.37388 + 1.45343i 0.686940 + 0.726714i
\(5\) 2.11050 0.738764i 0.943846 0.330385i
\(6\) −1.39466 1.10167i −0.569369 0.449754i
\(7\) 2.63915 0.186831i 0.997504 0.0706154i
\(8\) −0.971208 2.65646i −0.343374 0.939199i
\(9\) −1.23029 0.710311i −0.410098 0.236770i
\(10\) −3.15452 0.221340i −0.997547 0.0699939i
\(11\) 1.03641 0.598372i 0.312489 0.180416i −0.335550 0.942022i \(-0.608922\pi\)
0.648040 + 0.761606i \(0.275589\pi\)
\(12\) 1.19502 + 2.21121i 0.344972 + 0.638321i
\(13\) −3.40964 + 3.40964i −0.945664 + 0.945664i −0.998598 0.0529344i \(-0.983143\pi\)
0.0529344 + 0.998598i \(0.483143\pi\)
\(14\) −3.53232 1.23399i −0.944052 0.329797i
\(15\) 2.80226 0.210318i 0.723540 0.0543039i
\(16\) −0.224907 + 3.99367i −0.0562267 + 0.998418i
\(17\) 6.64507 + 1.78054i 1.61167 + 0.431844i 0.948538 0.316662i \(-0.102562\pi\)
0.663127 + 0.748507i \(0.269229\pi\)
\(18\) 1.20050 + 1.61094i 0.282961 + 0.379702i
\(19\) −5.60413 3.23554i −1.28567 0.742285i −0.307795 0.951453i \(-0.599591\pi\)
−0.977880 + 0.209168i \(0.932925\pi\)
\(20\) 3.97332 + 2.05249i 0.888461 + 0.458951i
\(21\) 3.26446 + 0.631630i 0.712363 + 0.137833i
\(22\) −1.68091 + 0.197289i −0.358372 + 0.0420622i
\(23\) 0.101175 + 0.377591i 0.0210965 + 0.0787332i 0.975672 0.219237i \(-0.0703569\pi\)
−0.954575 + 0.297971i \(0.903690\pi\)
\(24\) −0.314904 3.54060i −0.0642795 0.722722i
\(25\) 3.90845 3.11833i 0.781691 0.623666i
\(26\) 6.33627 2.52076i 1.24264 0.494362i
\(27\) −3.92836 3.92836i −0.756013 0.756013i
\(28\) 3.89742 + 3.57913i 0.736542 + 0.676391i
\(29\) 0.845412 0.156989 0.0784946 0.996915i \(-0.474989\pi\)
0.0784946 + 0.996915i \(0.474989\pi\)
\(30\) −3.75731 1.29475i −0.685989 0.236387i
\(31\) −1.69432 + 0.978216i −0.304309 + 0.175693i −0.644377 0.764708i \(-0.722883\pi\)
0.340068 + 0.940401i \(0.389550\pi\)
\(32\) 2.52664 5.06123i 0.446652 0.894708i
\(33\) 1.45274 0.389261i 0.252890 0.0677616i
\(34\) −7.63452 6.03064i −1.30931 1.03425i
\(35\) 5.43191 2.34401i 0.918160 0.396211i
\(36\) −0.657891 2.76403i −0.109649 0.460671i
\(37\) 2.12857 + 7.94394i 0.349935 + 1.30598i 0.886740 + 0.462269i \(0.152964\pi\)
−0.536805 + 0.843706i \(0.680369\pi\)
\(38\) 5.46842 + 7.33801i 0.887095 + 1.19038i
\(39\) −5.24804 + 3.02996i −0.840359 + 0.485181i
\(40\) −4.01223 4.88897i −0.634390 0.773013i
\(41\) 9.17369i 1.43269i −0.697746 0.716345i \(-0.745814\pi\)
0.697746 0.716345i \(-0.254186\pi\)
\(42\) −3.88654 2.64690i −0.599707 0.408425i
\(43\) −1.94366 1.94366i −0.296405 0.296405i 0.543199 0.839604i \(-0.317213\pi\)
−0.839604 + 0.543199i \(0.817213\pi\)
\(44\) 2.29359 + 0.684257i 0.345772 + 0.103156i
\(45\) −3.12129 0.590216i −0.465295 0.0879842i
\(46\) 0.0798602 0.547033i 0.0117747 0.0806556i
\(47\) 1.62690 + 6.07167i 0.237308 + 0.885645i 0.977095 + 0.212804i \(0.0682595\pi\)
−0.739787 + 0.672841i \(0.765074\pi\)
\(48\) −1.57202 + 4.77481i −0.226902 + 0.689184i
\(49\) 6.93019 0.986148i 0.990027 0.140878i
\(50\) −6.82115 + 1.86331i −0.964656 + 0.263512i
\(51\) 7.48737 + 4.32283i 1.04844 + 0.605318i
\(52\) −9.64010 0.271230i −1.33684 0.0376128i
\(53\) −0.731932 + 2.73161i −0.100539 + 0.375215i −0.997801 0.0662827i \(-0.978886\pi\)
0.897262 + 0.441498i \(0.145553\pi\)
\(54\) 2.90426 + 7.30023i 0.395219 + 0.993436i
\(55\) 1.74529 2.02853i 0.235335 0.273527i
\(56\) −3.05947 6.82932i −0.408839 0.912607i
\(57\) −5.75050 5.75050i −0.761672 0.761672i
\(58\) −1.09804 0.473023i −0.144180 0.0621110i
\(59\) −4.65384 + 2.68690i −0.605879 + 0.349804i −0.771351 0.636410i \(-0.780419\pi\)
0.165472 + 0.986214i \(0.447085\pi\)
\(60\) 4.15565 + 3.78393i 0.536492 + 0.488503i
\(61\) −2.40927 + 4.17298i −0.308476 + 0.534296i −0.978029 0.208468i \(-0.933152\pi\)
0.669553 + 0.742764i \(0.266486\pi\)
\(62\) 2.74795 0.322527i 0.348990 0.0409610i
\(63\) −3.37964 1.64476i −0.425794 0.207220i
\(64\) −6.11351 + 5.15994i −0.764189 + 0.644993i
\(65\) −4.67714 + 9.71498i −0.580127 + 1.20499i
\(66\) −2.10465 0.307253i −0.259065 0.0378203i
\(67\) −5.50754 1.47574i −0.672853 0.180291i −0.0938136 0.995590i \(-0.529906\pi\)
−0.579040 + 0.815299i \(0.696572\pi\)
\(68\) 6.54164 + 12.1044i 0.793290 + 1.46787i
\(69\) 0.491271i 0.0591421i
\(70\) −8.36660 + 0.00521267i −1.00000 + 0.000623033i
\(71\) −9.20735 −1.09271 −0.546355 0.837553i \(-0.683985\pi\)
−0.546355 + 0.837553i \(0.683985\pi\)
\(72\) −0.692037 + 3.95808i −0.0815574 + 0.466464i
\(73\) −2.20801 + 8.24040i −0.258428 + 0.964466i 0.707723 + 0.706490i \(0.249722\pi\)
−0.966151 + 0.257976i \(0.916944\pi\)
\(74\) 1.68014 11.5087i 0.195312 1.33786i
\(75\) 5.75880 2.51409i 0.664969 0.290302i
\(76\) −2.99677 12.5904i −0.343753 1.44422i
\(77\) 2.62344 1.77282i 0.298969 0.202032i
\(78\) 8.51159 0.999006i 0.963747 0.113115i
\(79\) −11.2282 6.48258i −1.26327 0.729347i −0.289561 0.957160i \(-0.593509\pi\)
−0.973705 + 0.227813i \(0.926843\pi\)
\(80\) 2.47572 + 8.59481i 0.276793 + 0.960929i
\(81\) −1.35998 2.35556i −0.151109 0.261729i
\(82\) −5.13284 + 11.9150i −0.566828 + 1.31579i
\(83\) −2.85713 + 2.85713i −0.313611 + 0.313611i −0.846307 0.532696i \(-0.821179\pi\)
0.532696 + 0.846307i \(0.321179\pi\)
\(84\) 3.56695 + 5.61244i 0.389186 + 0.612367i
\(85\) 15.3398 1.15130i 1.66384 0.124876i
\(86\) 1.43695 + 3.61197i 0.154951 + 0.389489i
\(87\) 1.02626 + 0.274984i 0.110026 + 0.0294814i
\(88\) −2.59612 2.17203i −0.276747 0.231540i
\(89\) −1.53866 + 2.66504i −0.163098 + 0.282494i −0.935978 0.352058i \(-0.885482\pi\)
0.772880 + 0.634552i \(0.218815\pi\)
\(90\) 3.72377 + 2.51301i 0.392520 + 0.264894i
\(91\) −8.36151 + 9.63556i −0.876524 + 1.01008i
\(92\) −0.409799 + 0.665816i −0.0427245 + 0.0694161i
\(93\) −2.37493 + 0.636362i −0.246269 + 0.0659876i
\(94\) 1.28415 8.79631i 0.132450 0.907270i
\(95\) −14.2178 2.68850i −1.45872 0.275834i
\(96\) 4.71337 5.32205i 0.481056 0.543180i
\(97\) −7.67886 + 7.67886i −0.779670 + 0.779670i −0.979775 0.200104i \(-0.935872\pi\)
0.200104 + 0.979775i \(0.435872\pi\)
\(98\) −9.55285 2.59673i −0.964984 0.262309i
\(99\) −1.70012 −0.170869
\(100\) 9.90202 + 1.39645i 0.990202 + 0.139645i
\(101\) −0.399840 0.692543i −0.0397856 0.0689106i 0.845447 0.534059i \(-0.179334\pi\)
−0.885232 + 0.465149i \(0.846001\pi\)
\(102\) −7.30606 9.80391i −0.723408 0.970732i
\(103\) 13.0659 3.50098i 1.28742 0.344962i 0.450738 0.892656i \(-0.351161\pi\)
0.836679 + 0.547694i \(0.184494\pi\)
\(104\) 12.3690 + 5.74608i 1.21288 + 0.563450i
\(105\) 7.35628 1.07861i 0.717899 0.105261i
\(106\) 2.47903 3.13834i 0.240785 0.304823i
\(107\) −4.56846 17.0497i −0.441650 1.64826i −0.724633 0.689135i \(-0.757990\pi\)
0.282982 0.959125i \(-0.408676\pi\)
\(108\) 0.312493 11.1067i 0.0300697 1.06874i
\(109\) −4.48121 7.76168i −0.429222 0.743434i 0.567582 0.823317i \(-0.307879\pi\)
−0.996804 + 0.0798824i \(0.974546\pi\)
\(110\) −3.40182 + 1.65818i −0.324351 + 0.158101i
\(111\) 10.3356i 0.981010i
\(112\) 0.152579 + 10.5819i 0.0144174 + 0.999896i
\(113\) 11.9228 11.9228i 1.12160 1.12160i 0.130099 0.991501i \(-0.458471\pi\)
0.991501 0.130099i \(-0.0415294\pi\)
\(114\) 4.25137 + 10.6864i 0.398177 + 1.00087i
\(115\) 0.492481 + 0.722163i 0.0459241 + 0.0673420i
\(116\) 1.16150 + 1.22875i 0.107842 + 0.114086i
\(117\) 6.61676 1.77296i 0.611720 0.163910i
\(118\) 7.54788 0.885896i 0.694839 0.0815534i
\(119\) 17.8700 + 3.45760i 1.63814 + 0.316958i
\(120\) −3.28028 7.23981i −0.299447 0.660902i
\(121\) −4.78390 + 8.28596i −0.434900 + 0.753269i
\(122\) 5.46407 4.07193i 0.494694 0.368655i
\(123\) 2.98389 11.1360i 0.269049 1.00410i
\(124\) −3.74956 1.11862i −0.336720 0.100455i
\(125\) 5.94510 9.46868i 0.531746 0.846904i
\(126\) 3.46928 + 4.02721i 0.309068 + 0.358773i
\(127\) −8.79830 8.79830i −0.780723 0.780723i 0.199230 0.979953i \(-0.436156\pi\)
−0.979953 + 0.199230i \(0.936156\pi\)
\(128\) 10.8274 3.28123i 0.957020 0.290023i
\(129\) −1.72722 2.99163i −0.152073 0.263398i
\(130\) 11.5105 10.0011i 1.00954 0.877154i
\(131\) 4.16907 7.22105i 0.364254 0.630906i −0.624402 0.781103i \(-0.714657\pi\)
0.988656 + 0.150197i \(0.0479908\pi\)
\(132\) 2.56165 + 1.57666i 0.222963 + 0.137230i
\(133\) −15.3946 7.49205i −1.33488 0.649643i
\(134\) 6.32762 + 4.99829i 0.546623 + 0.431787i
\(135\) −11.1930 5.38869i −0.963336 0.463785i
\(136\) −1.72382 19.3816i −0.147816 1.66196i
\(137\) −2.76191 + 10.3076i −0.235966 + 0.880636i 0.741745 + 0.670682i \(0.233998\pi\)
−0.977711 + 0.209955i \(0.932668\pi\)
\(138\) 0.274875 0.638074i 0.0233989 0.0543164i
\(139\) 10.7051i 0.907996i 0.891003 + 0.453998i \(0.150003\pi\)
−0.891003 + 0.453998i \(0.849997\pi\)
\(140\) 10.8696 + 4.67449i 0.918653 + 0.395066i
\(141\) 7.89965i 0.665270i
\(142\) 11.9587 + 5.15167i 1.00355 + 0.432319i
\(143\) −1.49355 + 5.57402i −0.124897 + 0.466123i
\(144\) 3.11345 4.75364i 0.259454 0.396137i
\(145\) 1.78425 0.624561i 0.148174 0.0518669i
\(146\) 7.47846 9.46740i 0.618922 0.783528i
\(147\) 8.73339 + 1.05706i 0.720318 + 0.0871850i
\(148\) −8.62154 + 14.0077i −0.708686 + 1.15143i
\(149\) −3.33948 + 5.78414i −0.273580 + 0.473855i −0.969776 0.243997i \(-0.921541\pi\)
0.696196 + 0.717852i \(0.254875\pi\)
\(150\) −8.88634 + 0.0431999i −0.725567 + 0.00352725i
\(151\) 6.94865 + 12.0354i 0.565473 + 0.979428i 0.997006 + 0.0773305i \(0.0246397\pi\)
−0.431533 + 0.902097i \(0.642027\pi\)
\(152\) −3.15231 + 18.0295i −0.255686 + 1.46239i
\(153\) −6.91065 6.91065i −0.558693 0.558693i
\(154\) −4.39932 + 0.834721i −0.354507 + 0.0672637i
\(155\) −2.85320 + 3.31623i −0.229174 + 0.266366i
\(156\) −11.6140 3.46485i −0.929864 0.277410i
\(157\) 0.553836 2.06694i 0.0442009 0.164960i −0.940297 0.340354i \(-0.889453\pi\)
0.984498 + 0.175394i \(0.0561199\pi\)
\(158\) 10.9563 + 14.7021i 0.871633 + 1.16963i
\(159\) −1.77700 + 3.07786i −0.140925 + 0.244090i
\(160\) 1.59343 12.5483i 0.125972 0.992034i
\(161\) 0.337562 + 0.977615i 0.0266036 + 0.0770469i
\(162\) 0.448400 + 3.82039i 0.0352296 + 0.300158i
\(163\) 2.01839 0.540827i 0.158093 0.0423608i −0.178905 0.983866i \(-0.557255\pi\)
0.336997 + 0.941506i \(0.390589\pi\)
\(164\) 13.3333 12.6036i 1.04116 0.984172i
\(165\) 2.77844 1.89477i 0.216301 0.147508i
\(166\) 5.30952 2.11229i 0.412099 0.163945i
\(167\) 6.09891 6.09891i 0.471948 0.471948i −0.430597 0.902545i \(-0.641697\pi\)
0.902545 + 0.430597i \(0.141697\pi\)
\(168\) −1.49257 9.28533i −0.115154 0.716379i
\(169\) 10.2513i 0.788559i
\(170\) −20.5679 7.08757i −1.57749 0.543592i
\(171\) 4.59649 + 7.96135i 0.351502 + 0.608819i
\(172\) 0.154614 5.49531i 0.0117892 0.419014i
\(173\) 2.10683 + 7.86281i 0.160180 + 0.597798i 0.998606 + 0.0527835i \(0.0168093\pi\)
−0.838426 + 0.545015i \(0.816524\pi\)
\(174\) −1.17907 0.931364i −0.0893847 0.0706065i
\(175\) 9.73238 8.95995i 0.735699 0.677309i
\(176\) 2.15661 + 4.27366i 0.162560 + 0.322139i
\(177\) −6.52331 + 1.74792i −0.490322 + 0.131381i
\(178\) 3.48959 2.60051i 0.261556 0.194916i
\(179\) −2.05446 3.55843i −0.153557 0.265969i 0.778975 0.627054i \(-0.215740\pi\)
−0.932533 + 0.361085i \(0.882406\pi\)
\(180\) −3.43045 5.34746i −0.255690 0.398576i
\(181\) 14.5319 1.08014 0.540072 0.841619i \(-0.318397\pi\)
0.540072 + 0.841619i \(0.318397\pi\)
\(182\) 16.2514 7.83647i 1.20463 0.580878i
\(183\) −4.28197 + 4.28197i −0.316533 + 0.316533i
\(184\) 0.904792 0.635487i 0.0667021 0.0468487i
\(185\) 10.3611 + 15.1932i 0.761760 + 1.11703i
\(186\) 3.44067 + 0.502297i 0.252282 + 0.0368302i
\(187\) 7.95244 2.13085i 0.581540 0.155823i
\(188\) −6.58958 + 10.7063i −0.480594 + 0.780840i
\(189\) −11.1015 9.63358i −0.807512 0.700740i
\(190\) 16.9622 + 11.4470i 1.23057 + 0.830454i
\(191\) 1.85526 3.21340i 0.134242 0.232514i −0.791066 0.611731i \(-0.790473\pi\)
0.925308 + 0.379218i \(0.123807\pi\)
\(192\) −9.09961 + 4.27519i −0.656708 + 0.308535i
\(193\) −14.5498 3.89860i −1.04732 0.280628i −0.306174 0.951976i \(-0.599049\pi\)
−0.741142 + 0.671348i \(0.765716\pi\)
\(194\) 14.2699 5.67702i 1.02452 0.407586i
\(195\) −8.83758 + 10.2718i −0.632872 + 0.735579i
\(196\) 10.9545 + 8.71768i 0.782467 + 0.622692i
\(197\) −9.86832 + 9.86832i −0.703088 + 0.703088i −0.965072 0.261984i \(-0.915623\pi\)
0.261984 + 0.965072i \(0.415623\pi\)
\(198\) 2.20815 + 0.951247i 0.156927 + 0.0676022i
\(199\) 2.25308 + 3.90246i 0.159717 + 0.276638i 0.934767 0.355263i \(-0.115609\pi\)
−0.775050 + 0.631900i \(0.782275\pi\)
\(200\) −12.0796 7.35409i −0.854159 0.520013i
\(201\) −6.20566 3.58284i −0.437713 0.252714i
\(202\) 0.131831 + 1.12321i 0.00927560 + 0.0790286i
\(203\) 2.23117 0.157949i 0.156597 0.0110859i
\(204\) 4.00382 + 16.8214i 0.280323 + 1.17773i
\(205\) −6.77720 19.3611i −0.473340 1.35224i
\(206\) −18.9291 2.76342i −1.31885 0.192536i
\(207\) 0.143732 0.536414i 0.00999004 0.0372834i
\(208\) −12.8501 14.3838i −0.890996 0.997339i
\(209\) −7.74423 −0.535680
\(210\) −10.1580 2.71505i −0.700969 0.187356i
\(211\) 4.28235i 0.294809i −0.989076 0.147404i \(-0.952908\pi\)
0.989076 0.147404i \(-0.0470919\pi\)
\(212\) −4.97578 + 2.68909i −0.341738 + 0.184688i
\(213\) −11.1769 2.99484i −0.765828 0.205203i
\(214\) −3.60601 + 24.7007i −0.246501 + 1.68851i
\(215\) −5.53800 2.66619i −0.377688 0.181833i
\(216\) −6.62026 + 14.2508i −0.450452 + 0.969642i
\(217\) −4.28880 + 2.89821i −0.291143 + 0.196743i
\(218\) 1.47750 + 12.5884i 0.100069 + 0.852591i
\(219\) −5.36065 + 9.28492i −0.362239 + 0.627417i
\(220\) 5.34614 0.250299i 0.360437 0.0168751i
\(221\) −28.7283 + 16.5863i −1.93247 + 1.11571i
\(222\) 5.78294 13.4241i 0.388126 0.900966i
\(223\) 16.1614 + 16.1614i 1.08225 + 1.08225i 0.996300 + 0.0859478i \(0.0273918\pi\)
0.0859478 + 0.996300i \(0.472608\pi\)
\(224\) 5.72259 13.8294i 0.382357 0.924015i
\(225\) −7.02353 + 1.06025i −0.468236 + 0.0706831i
\(226\) −22.1566 + 8.81456i −1.47383 + 0.586336i
\(227\) −0.258564 + 0.964972i −0.0171615 + 0.0640475i −0.973976 0.226653i \(-0.927222\pi\)
0.956814 + 0.290700i \(0.0938883\pi\)
\(228\) 0.457441 16.2584i 0.0302947 1.07674i
\(229\) 3.48380 + 2.01137i 0.230216 + 0.132915i 0.610672 0.791884i \(-0.290899\pi\)
−0.380456 + 0.924799i \(0.624233\pi\)
\(230\) −0.235583 1.21351i −0.0155339 0.0800167i
\(231\) 3.76127 1.29873i 0.247473 0.0854503i
\(232\) −0.821071 2.24580i −0.0539060 0.147444i
\(233\) −4.89238 18.2586i −0.320510 1.19616i −0.918749 0.394843i \(-0.870799\pi\)
0.598238 0.801318i \(-0.295868\pi\)
\(234\) −9.58600 1.39944i −0.626657 0.0914842i
\(235\) 7.91912 + 11.6124i 0.516586 + 0.757509i
\(236\) −10.2990 3.07255i −0.670410 0.200006i
\(237\) −11.5214 11.5214i −0.748396 0.748396i
\(238\) −21.2753 14.4894i −1.37907 0.939207i
\(239\) 5.89245i 0.381151i −0.981673 0.190575i \(-0.938965\pi\)
0.981673 0.190575i \(-0.0610353\pi\)
\(240\) 0.209694 + 11.2386i 0.0135357 + 0.725449i
\(241\) 12.3017 7.10239i 0.792422 0.457505i −0.0483923 0.998828i \(-0.515410\pi\)
0.840815 + 0.541323i \(0.182076\pi\)
\(242\) 10.8496 8.08532i 0.697438 0.519744i
\(243\) 3.42893 + 12.7969i 0.219966 + 0.820923i
\(244\) −9.37518 + 2.23147i −0.600184 + 0.142855i
\(245\) 13.8977 7.20105i 0.887889 0.460058i
\(246\) −10.1064 + 12.7942i −0.644358 + 0.815729i
\(247\) 30.1401 8.07601i 1.91777 0.513864i
\(248\) 4.24412 + 3.55083i 0.269502 + 0.225478i
\(249\) −4.39763 + 2.53897i −0.278688 + 0.160901i
\(250\) −13.0195 + 8.97174i −0.823427 + 0.567423i
\(251\) 23.2774 1.46926 0.734628 0.678471i \(-0.237357\pi\)
0.734628 + 0.678471i \(0.237357\pi\)
\(252\) −2.25268 7.17176i −0.141905 0.451778i
\(253\) 0.330799 + 0.330799i 0.0207971 + 0.0207971i
\(254\) 6.50463 + 16.3502i 0.408137 + 1.02591i
\(255\) 18.9957 + 3.59196i 1.18956 + 0.224937i
\(256\) −15.8988 1.79641i −0.993677 0.112275i
\(257\) −1.34001 5.00100i −0.0835877 0.311954i 0.911455 0.411399i \(-0.134960\pi\)
−0.995043 + 0.0994455i \(0.968293\pi\)
\(258\) 0.569481 + 4.85201i 0.0354543 + 0.302073i
\(259\) 7.10178 + 20.5675i 0.441283 + 1.27800i
\(260\) −20.5458 + 6.54933i −1.27420 + 0.406172i
\(261\) −1.04011 0.600506i −0.0643810 0.0371704i
\(262\) −9.45519 + 7.04619i −0.584144 + 0.435315i
\(263\) −11.5897 3.10544i −0.714650 0.191490i −0.116867 0.993148i \(-0.537285\pi\)
−0.597783 + 0.801658i \(0.703952\pi\)
\(264\) −2.44497 3.48109i −0.150477 0.214246i
\(265\) 0.473269 + 6.30579i 0.0290727 + 0.387362i
\(266\) 15.8029 + 18.3444i 0.968940 + 1.12477i
\(267\) −2.73465 + 2.73465i −0.167358 + 0.167358i
\(268\) −5.42182 10.0323i −0.331190 0.612821i
\(269\) 0.139084 0.0803001i 0.00848009 0.00489598i −0.495754 0.868463i \(-0.665108\pi\)
0.504234 + 0.863567i \(0.331775\pi\)
\(270\) 11.5226 + 13.2616i 0.701243 + 0.807076i
\(271\) −7.18293 4.14707i −0.436332 0.251916i 0.265708 0.964053i \(-0.414394\pi\)
−0.702041 + 0.712137i \(0.747727\pi\)
\(272\) −8.60541 + 26.1378i −0.521780 + 1.58483i
\(273\) −13.2843 + 8.97700i −0.804000 + 0.543312i
\(274\) 9.35450 11.8424i 0.565126 0.715425i
\(275\) 2.18484 5.57058i 0.131751 0.335919i
\(276\) −0.714027 + 0.674947i −0.0429794 + 0.0406270i
\(277\) 26.7910 + 7.17864i 1.60972 + 0.431322i 0.947958 0.318394i \(-0.103144\pi\)
0.661759 + 0.749717i \(0.269810\pi\)
\(278\) 5.98970 13.9040i 0.359238 0.833909i
\(279\) 2.77935 0.166395
\(280\) −11.5023 12.1531i −0.687393 0.726286i
\(281\) 10.0208 0.597789 0.298895 0.954286i \(-0.403382\pi\)
0.298895 + 0.954286i \(0.403382\pi\)
\(282\) 4.41999 10.2602i 0.263207 0.610988i
\(283\) 12.8950 + 3.45521i 0.766529 + 0.205391i 0.620838 0.783939i \(-0.286793\pi\)
0.145692 + 0.989330i \(0.453459\pi\)
\(284\) −12.6498 13.3822i −0.750627 0.794088i
\(285\) −16.3847 7.88819i −0.970547 0.467256i
\(286\) 5.05862 6.40399i 0.299123 0.378676i
\(287\) −1.71393 24.2107i −0.101170 1.42911i
\(288\) −6.70356 + 4.43210i −0.395011 + 0.261164i
\(289\) 26.2642 + 15.1636i 1.54495 + 0.891978i
\(290\) −2.66687 0.187124i −0.156604 0.0109883i
\(291\) −11.8191 + 6.82378i −0.692850 + 0.400017i
\(292\) −15.0104 + 8.11214i −0.878416 + 0.474727i
\(293\) 22.3253 22.3253i 1.30426 1.30426i 0.378767 0.925492i \(-0.376348\pi\)
0.925492 0.378767i \(-0.123652\pi\)
\(294\) −10.7517 6.25942i −0.627051 0.365057i
\(295\) −7.83697 + 9.10880i −0.456286 + 0.530335i
\(296\) 19.0354 13.3697i 1.10641 0.777096i
\(297\) −6.42202 1.72077i −0.372643 0.0998494i
\(298\) 7.57371 5.64408i 0.438734 0.326953i
\(299\) −1.63242 0.942478i −0.0944053 0.0545049i
\(300\) 11.5660 + 4.91595i 0.667760 + 0.283823i
\(301\) −5.49273 4.76646i −0.316595 0.274734i
\(302\) −2.29104 19.5198i −0.131834 1.12324i
\(303\) −0.260109 0.970740i −0.0149429 0.0557676i
\(304\) 14.1821 21.6534i 0.813400 1.24190i
\(305\) −2.00193 + 10.5870i −0.114630 + 0.606209i
\(306\) 5.10908 + 12.8423i 0.292067 + 0.734148i
\(307\) −5.80998 5.80998i −0.331593 0.331593i 0.521598 0.853191i \(-0.325336\pi\)
−0.853191 + 0.521598i \(0.825336\pi\)
\(308\) 6.18097 + 1.37734i 0.352194 + 0.0784812i
\(309\) 16.9995 0.967070
\(310\) 5.56129 2.71078i 0.315860 0.153962i
\(311\) −12.3326 + 7.12021i −0.699316 + 0.403750i −0.807093 0.590425i \(-0.798960\pi\)
0.107777 + 0.994175i \(0.465627\pi\)
\(312\) 13.1459 + 10.9985i 0.744239 + 0.622665i
\(313\) 11.4330 3.06345i 0.646229 0.173156i 0.0792055 0.996858i \(-0.474762\pi\)
0.567023 + 0.823702i \(0.308095\pi\)
\(314\) −1.87582 + 2.37471i −0.105859 + 0.134013i
\(315\) −8.34782 0.974513i −0.470347 0.0549076i
\(316\) −6.00418 25.2256i −0.337761 1.41905i
\(317\) 0.239713 + 0.894622i 0.0134636 + 0.0502470i 0.972331 0.233608i \(-0.0750532\pi\)
−0.958867 + 0.283855i \(0.908387\pi\)
\(318\) 4.03012 3.00333i 0.225998 0.168418i
\(319\) 0.876194 0.505871i 0.0490575 0.0283233i
\(320\) −9.09061 + 15.4065i −0.508180 + 0.861251i
\(321\) 22.1828i 1.23813i
\(322\) 0.108560 1.45862i 0.00604981 0.0812858i
\(323\) −31.4788 31.4788i −1.75153 1.75153i
\(324\) 1.55518 5.21290i 0.0863991 0.289605i
\(325\) −2.69404 + 23.9588i −0.149438 + 1.32899i
\(326\) −2.92414 0.426889i −0.161953 0.0236432i
\(327\) −2.91517 10.8796i −0.161209 0.601642i
\(328\) −24.3695 + 8.90956i −1.34558 + 0.491948i
\(329\) 5.42800 + 15.7201i 0.299256 + 0.866676i
\(330\) −4.66886 + 0.906381i −0.257012 + 0.0498946i
\(331\) 12.7385 + 7.35457i 0.700170 + 0.404244i 0.807411 0.589990i \(-0.200868\pi\)
−0.107240 + 0.994233i \(0.534201\pi\)
\(332\) −8.07799 0.227279i −0.443337 0.0124736i
\(333\) 3.02390 11.2853i 0.165708 0.618432i
\(334\) −11.3339 + 4.50896i −0.620161 + 0.246719i
\(335\) −12.7139 + 0.954218i −0.694635 + 0.0521345i
\(336\) −3.25672 + 12.8951i −0.177669 + 0.703486i
\(337\) 1.69858 + 1.69858i 0.0925273 + 0.0925273i 0.751855 0.659328i \(-0.229159\pi\)
−0.659328 + 0.751855i \(0.729159\pi\)
\(338\) −5.73577 + 13.3146i −0.311985 + 0.724218i
\(339\) 18.3513 10.5951i 0.996703 0.575447i
\(340\) 22.7484 + 20.7136i 1.23371 + 1.12335i
\(341\) −1.17067 + 2.02767i −0.0633956 + 0.109804i
\(342\) −1.51551 12.9122i −0.0819492 0.698211i
\(343\) 18.1055 3.89736i 0.977607 0.210438i
\(344\) −3.27554 + 7.05093i −0.176605 + 0.380161i
\(345\) 0.362933 + 1.03683i 0.0195397 + 0.0558210i
\(346\) 1.66298 11.3912i 0.0894022 0.612395i
\(347\) 9.50618 + 2.54717i 0.510318 + 0.136739i 0.504785 0.863245i \(-0.331572\pi\)
0.00553365 + 0.999985i \(0.498239\pi\)
\(348\) 1.01028 + 1.86938i 0.0541568 + 0.100209i
\(349\) 19.6587i 1.05230i −0.850390 0.526152i \(-0.823634\pi\)
0.850390 0.526152i \(-0.176366\pi\)
\(350\) −17.6539 + 6.19195i −0.943640 + 0.330973i
\(351\) 26.7886 1.42987
\(352\) −0.409859 6.75739i −0.0218456 0.360170i
\(353\) −2.20907 + 8.24438i −0.117577 + 0.438804i −0.999467 0.0326520i \(-0.989605\pi\)
0.881890 + 0.471456i \(0.156271\pi\)
\(354\) 9.45061 + 1.37967i 0.502294 + 0.0733289i
\(355\) −19.4321 + 6.80206i −1.03135 + 0.361016i
\(356\) −5.98739 + 1.42511i −0.317331 + 0.0755309i
\(357\) 20.5679 + 10.0097i 1.08857 + 0.529771i
\(358\) 0.677375 + 5.77127i 0.0358004 + 0.305021i
\(359\) −23.4786 13.5554i −1.23915 0.715425i −0.270232 0.962795i \(-0.587100\pi\)
−0.968921 + 0.247370i \(0.920434\pi\)
\(360\) 1.46354 + 8.86480i 0.0771355 + 0.467216i
\(361\) 11.4375 + 19.8103i 0.601973 + 1.04265i
\(362\) −18.8743 8.13083i −0.992011 0.427347i
\(363\) −8.50238 + 8.50238i −0.446259 + 0.446259i
\(364\) −25.4923 + 1.08525i −1.33616 + 0.0568827i
\(365\) 1.42770 + 19.0226i 0.0747294 + 0.995688i
\(366\) 7.95736 3.16568i 0.415938 0.165473i
\(367\) 30.9437 + 8.29134i 1.61525 + 0.432805i 0.949601 0.313461i \(-0.101489\pi\)
0.665648 + 0.746266i \(0.268155\pi\)
\(368\) −1.53073 + 0.319138i −0.0797948 + 0.0166362i
\(369\) −6.51618 + 11.2863i −0.339219 + 0.587544i
\(370\) −4.95631 25.5305i −0.257666 1.32727i
\(371\) −1.42133 + 7.34586i −0.0737916 + 0.381378i
\(372\) −4.18778 2.57751i −0.217126 0.133638i
\(373\) −10.4848 + 2.80939i −0.542881 + 0.145464i −0.519830 0.854270i \(-0.674005\pi\)
−0.0230509 + 0.999734i \(0.507338\pi\)
\(374\) −11.5211 1.68193i −0.595740 0.0869708i
\(375\) 10.2967 9.56039i 0.531717 0.493696i
\(376\) 14.5491 10.2186i 0.750311 0.526986i
\(377\) −2.88255 + 2.88255i −0.148459 + 0.148459i
\(378\) 9.02867 + 18.7238i 0.464385 + 0.963047i
\(379\) 16.2037 0.832328 0.416164 0.909289i \(-0.363374\pi\)
0.416164 + 0.909289i \(0.363374\pi\)
\(380\) −15.6261 24.3583i −0.801600 1.24955i
\(381\) −7.81856 13.5422i −0.400557 0.693785i
\(382\) −4.20760 + 3.13559i −0.215280 + 0.160431i
\(383\) −9.59034 + 2.56972i −0.490043 + 0.131307i −0.495375 0.868679i \(-0.664969\pi\)
0.00533195 + 0.999986i \(0.498303\pi\)
\(384\) 14.2108 0.461319i 0.725193 0.0235416i
\(385\) 4.22709 5.67966i 0.215432 0.289462i
\(386\) 16.7162 + 13.2045i 0.850835 + 0.672089i
\(387\) 1.01067 + 3.77187i 0.0513752 + 0.191735i
\(388\) −21.7105 0.610838i −1.10218 0.0310106i
\(389\) 7.29304 + 12.6319i 0.369772 + 0.640464i 0.989530 0.144330i \(-0.0461025\pi\)
−0.619758 + 0.784793i \(0.712769\pi\)
\(390\) 17.2257 8.39646i 0.872257 0.425171i
\(391\) 2.68926i 0.136002i
\(392\) −9.35031 17.4520i −0.472262 0.881458i
\(393\) 7.40965 7.40965i 0.373767 0.373767i
\(394\) 18.3387 7.29570i 0.923890 0.367552i
\(395\) −28.4862 5.38655i −1.43329 0.271027i
\(396\) −2.33576 2.47100i −0.117376 0.124173i
\(397\) −16.3399 + 4.37826i −0.820076 + 0.219739i −0.644380 0.764706i \(-0.722884\pi\)
−0.175696 + 0.984444i \(0.556218\pi\)
\(398\) −0.742864 6.32924i −0.0372364 0.317256i
\(399\) −16.2508 14.1020i −0.813556 0.705985i
\(400\) 11.5746 + 16.3104i 0.578728 + 0.815521i
\(401\) 7.21196 12.4915i 0.360148 0.623795i −0.627837 0.778345i \(-0.716060\pi\)
0.987985 + 0.154550i \(0.0493929\pi\)
\(402\) 6.05539 + 8.12565i 0.302015 + 0.405270i
\(403\) 2.44166 9.11238i 0.121628 0.453920i
\(404\) 0.457229 1.53261i 0.0227480 0.0762502i
\(405\) −4.61046 3.96671i −0.229095 0.197108i
\(406\) −2.98627 1.04323i −0.148206 0.0517746i
\(407\) 6.95950 + 6.95950i 0.344970 + 0.344970i
\(408\) 4.21163 24.0882i 0.208507 1.19255i
\(409\) −2.33119 4.03774i −0.115270 0.199653i 0.802618 0.596494i \(-0.203440\pi\)
−0.917888 + 0.396840i \(0.870107\pi\)
\(410\) −2.03051 + 28.9386i −0.100280 + 1.42918i
\(411\) −6.70542 + 11.6141i −0.330754 + 0.572883i
\(412\) 23.0393 + 14.1803i 1.13507 + 0.698615i
\(413\) −11.7802 + 7.96060i −0.579665 + 0.391715i
\(414\) −0.486815 + 0.616286i −0.0239257 + 0.0302888i
\(415\) −3.91924 + 8.14073i −0.192388 + 0.399613i
\(416\) 8.64203 + 25.8719i 0.423710 + 1.26848i
\(417\) −3.48201 + 12.9951i −0.170515 + 0.636371i
\(418\) 10.0584 + 4.33304i 0.491972 + 0.211936i
\(419\) 31.8445i 1.55570i 0.628447 + 0.777852i \(0.283691\pi\)
−0.628447 + 0.777852i \(0.716309\pi\)
\(420\) 11.6743 + 9.20994i 0.569649 + 0.449399i
\(421\) 35.7142i 1.74060i −0.492520 0.870301i \(-0.663924\pi\)
0.492520 0.870301i \(-0.336076\pi\)
\(422\) −2.39605 + 5.56201i −0.116638 + 0.270754i
\(423\) 2.31121 8.62555i 0.112375 0.419389i
\(424\) 7.96725 0.708614i 0.386924 0.0344133i
\(425\) 31.5243 13.7624i 1.52915 0.667572i
\(426\) 12.8411 + 10.1434i 0.622155 + 0.491451i
\(427\) −5.57878 + 11.4632i −0.269976 + 0.554745i
\(428\) 18.5040 30.0642i 0.894427 1.45321i
\(429\) −3.62608 + 6.28056i −0.175069 + 0.303228i
\(430\) 5.70109 + 6.56151i 0.274931 + 0.316424i
\(431\) −7.30236 12.6481i −0.351742 0.609235i 0.634813 0.772666i \(-0.281077\pi\)
−0.986555 + 0.163431i \(0.947744\pi\)
\(432\) 16.5721 14.8051i 0.797326 0.712309i
\(433\) −0.628140 0.628140i −0.0301865 0.0301865i 0.691852 0.722039i \(-0.256795\pi\)
−0.722039 + 0.691852i \(0.756795\pi\)
\(434\) 7.19199 1.36460i 0.345226 0.0655028i
\(435\) 2.36906 0.177805i 0.113588 0.00852512i
\(436\) 5.12440 17.1767i 0.245414 0.822616i
\(437\) 0.654714 2.44343i 0.0313192 0.116885i
\(438\) 12.1576 9.06009i 0.580913 0.432908i
\(439\) 4.61863 7.99969i 0.220435 0.381805i −0.734505 0.678603i \(-0.762586\pi\)
0.954940 + 0.296799i \(0.0959190\pi\)
\(440\) −7.08374 2.66617i −0.337704 0.127105i
\(441\) −9.22665 3.70934i −0.439364 0.176635i
\(442\) 46.5932 5.46866i 2.21621 0.260117i
\(443\) 29.2504 7.83762i 1.38973 0.372376i 0.515083 0.857141i \(-0.327761\pi\)
0.874645 + 0.484764i \(0.161095\pi\)
\(444\) −15.0220 + 14.1999i −0.712914 + 0.673895i
\(445\) −1.27852 + 6.76130i −0.0606075 + 0.320516i
\(446\) −11.9482 30.0334i −0.565764 1.42212i
\(447\) −5.93521 + 5.93521i −0.280726 + 0.280726i
\(448\) −15.1704 + 14.7600i −0.716735 + 0.697346i
\(449\) 26.4008i 1.24593i −0.782250 0.622965i \(-0.785928\pi\)
0.782250 0.622965i \(-0.214072\pi\)
\(450\) 9.71555 + 2.55272i 0.457996 + 0.120336i
\(451\) −5.48928 9.50771i −0.258480 0.447701i
\(452\) 33.7093 + 0.948432i 1.58555 + 0.0446105i
\(453\) 4.52032 + 16.8701i 0.212383 + 0.792625i
\(454\) 0.875747 1.10866i 0.0411008 0.0520318i
\(455\) −10.5286 + 26.5131i −0.493588 + 1.24295i
\(456\) −9.69101 + 20.8609i −0.453823 + 0.976900i
\(457\) 5.68306 1.52277i 0.265842 0.0712323i −0.123436 0.992353i \(-0.539391\pi\)
0.389278 + 0.921120i \(0.372725\pi\)
\(458\) −3.39944 4.56167i −0.158845 0.213153i
\(459\) −19.1096 33.0988i −0.891961 1.54492i
\(460\) −0.373001 + 1.70795i −0.0173913 + 0.0796336i
\(461\) −3.46791 −0.161517 −0.0807584 0.996734i \(-0.525734\pi\)
−0.0807584 + 0.996734i \(0.525734\pi\)
\(462\) −5.61188 0.417673i −0.261088 0.0194319i
\(463\) −24.3542 + 24.3542i −1.13184 + 1.13184i −0.141965 + 0.989872i \(0.545342\pi\)
−0.989872 + 0.141965i \(0.954658\pi\)
\(464\) −0.190139 + 3.37630i −0.00882698 + 0.156741i
\(465\) −4.54219 + 3.09756i −0.210639 + 0.143646i
\(466\) −3.86168 + 26.4521i −0.178889 + 1.22537i
\(467\) 10.5468 2.82599i 0.488045 0.130771i −0.00640095 0.999980i \(-0.502037\pi\)
0.494446 + 0.869208i \(0.335371\pi\)
\(468\) 11.6675 + 7.18116i 0.539331 + 0.331949i
\(469\) −14.8109 2.86572i −0.683905 0.132327i
\(470\) −3.78819 19.5133i −0.174736 0.900083i
\(471\) 1.34461 2.32894i 0.0619566 0.107312i
\(472\) 11.6575 + 9.75319i 0.536579 + 0.448927i
\(473\) −3.17745 0.851396i −0.146099 0.0391472i
\(474\) 8.51784 + 21.4107i 0.391237 + 0.983426i
\(475\) −31.9930 + 4.82954i −1.46794 + 0.221595i
\(476\) 19.5258 + 30.7230i 0.894964 + 1.40819i
\(477\) 2.84078 2.84078i 0.130071 0.130071i
\(478\) −3.29693 + 7.65324i −0.150798 + 0.350051i
\(479\) 0.0607594 + 0.105238i 0.00277617 + 0.00480846i 0.867410 0.497594i \(-0.165783\pi\)
−0.864634 + 0.502402i \(0.832450\pi\)
\(480\) 6.01584 14.7143i 0.274584 0.671612i
\(481\) −34.3436 19.8283i −1.56593 0.904092i
\(482\) −19.9516 + 2.34173i −0.908772 + 0.106663i
\(483\) 0.0917846 + 1.29654i 0.00417634 + 0.0589944i
\(484\) −18.6156 + 4.43086i −0.846162 + 0.201403i
\(485\) −10.5334 + 21.8791i −0.478297 + 0.993481i
\(486\) 2.70654 18.5395i 0.122771 0.840968i
\(487\) −8.01105 + 29.8976i −0.363015 + 1.35479i 0.507076 + 0.861901i \(0.330726\pi\)
−0.870091 + 0.492890i \(0.835940\pi\)
\(488\) 13.4252 + 2.34729i 0.607732 + 0.106257i
\(489\) 2.62606 0.118755
\(490\) −22.0797 + 1.57690i −0.997459 + 0.0712369i
\(491\) 34.3798i 1.55154i −0.631015 0.775770i \(-0.717361\pi\)
0.631015 0.775770i \(-0.282639\pi\)
\(492\) 20.2850 10.9627i 0.914517 0.494237i
\(493\) 5.61782 + 1.50529i 0.253014 + 0.0677949i
\(494\) −43.6653 6.37460i −1.96459 0.286807i
\(495\) −3.58811 + 1.25599i −0.161274 + 0.0564525i
\(496\) −3.52561 6.98657i −0.158305 0.313706i
\(497\) −24.2995 + 1.72022i −1.08998 + 0.0771623i
\(498\) 7.13234 0.837124i 0.319608 0.0375124i
\(499\) 19.8323 34.3506i 0.887816 1.53774i 0.0453641 0.998971i \(-0.485555\pi\)
0.842452 0.538772i \(-0.181111\pi\)
\(500\) 21.9299 4.36805i 0.980735 0.195345i
\(501\) 9.38731 5.41976i 0.419394 0.242137i
\(502\) −30.2332 13.0241i −1.34937 0.581294i
\(503\) 2.92828 + 2.92828i 0.130566 + 0.130566i 0.769370 0.638804i \(-0.220570\pi\)
−0.638804 + 0.769370i \(0.720570\pi\)
\(504\) −1.08690 + 10.5753i −0.0484142 + 0.471059i
\(505\) −1.35549 1.16623i −0.0603185 0.0518964i
\(506\) −0.244561 0.614737i −0.0108721 0.0273284i
\(507\) 3.33440 12.4441i 0.148086 0.552663i
\(508\) 0.699888 24.8755i 0.0310525 1.10367i
\(509\) 5.58298 + 3.22334i 0.247461 + 0.142872i 0.618601 0.785705i \(-0.287700\pi\)
−0.371140 + 0.928577i \(0.621033\pi\)
\(510\) −22.6623 15.2937i −1.00350 0.677218i
\(511\) −4.28770 + 22.1602i −0.189677 + 0.980307i
\(512\) 19.6446 + 11.2289i 0.868179 + 0.496252i
\(513\) 9.30465 + 34.7254i 0.410810 + 1.53316i
\(514\) −1.05771 + 7.24517i −0.0466534 + 0.319571i
\(515\) 24.9891 17.0414i 1.10115 0.750935i
\(516\) 1.97513 6.62053i 0.0869502 0.291453i
\(517\) 5.31925 + 5.31925i 0.233941 + 0.233941i
\(518\) 2.28394 30.6871i 0.100350 1.34832i
\(519\) 10.2300i 0.449049i
\(520\) 30.3499 + 2.98934i 1.33093 + 0.131091i
\(521\) −10.4597 + 6.03894i −0.458250 + 0.264571i −0.711308 0.702880i \(-0.751897\pi\)
0.253058 + 0.967451i \(0.418564\pi\)
\(522\) 1.01492 + 1.36191i 0.0444218 + 0.0596091i
\(523\) −0.979314 3.65485i −0.0428224 0.159815i 0.941204 0.337840i \(-0.109696\pi\)
−0.984026 + 0.178024i \(0.943029\pi\)
\(524\) 16.2231 3.86140i 0.708709 0.168686i
\(525\) 14.7286 7.71096i 0.642810 0.336534i
\(526\) 13.3154 + 10.5180i 0.580578 + 0.458609i
\(527\) −13.0006 + 3.48351i −0.566316 + 0.151744i
\(528\) 1.22785 + 5.88932i 0.0534352 + 0.256300i
\(529\) 19.7862 11.4236i 0.860272 0.496678i
\(530\) 2.91351 8.45491i 0.126555 0.367258i
\(531\) 7.63413 0.331293
\(532\) −10.2612 32.6681i −0.444879 1.41634i
\(533\) 31.2790 + 31.2790i 1.35484 + 1.35484i
\(534\) 5.08191 2.02174i 0.219916 0.0874893i
\(535\) −22.2375 32.6085i −0.961411 1.40979i
\(536\) 1.42873 + 16.0638i 0.0617116 + 0.693850i
\(537\) −1.33649 4.98786i −0.0576739 0.215242i
\(538\) −0.225575 + 0.0264757i −0.00972521 + 0.00114145i
\(539\) 6.59244 5.16888i 0.283956 0.222640i
\(540\) −7.54571 23.6716i −0.324716 1.01866i
\(541\) −13.3727 7.72075i −0.574939 0.331941i 0.184181 0.982892i \(-0.441037\pi\)
−0.759119 + 0.650951i \(0.774370\pi\)
\(542\) 7.00900 + 9.40528i 0.301062 + 0.403991i
\(543\) 17.6404 + 4.72672i 0.757021 + 0.202843i
\(544\) 25.8014 29.1334i 1.10623 1.24909i
\(545\) −15.1917 13.0705i −0.650739 0.559879i
\(546\) 22.2767 4.22675i 0.953354 0.180888i
\(547\) −30.2381 + 30.2381i −1.29289 + 1.29289i −0.359893 + 0.932994i \(0.617187\pi\)
−0.932994 + 0.359893i \(0.882813\pi\)
\(548\) −18.7759 + 10.1471i −0.802065 + 0.433465i
\(549\) 5.92823 3.42266i 0.253011 0.146076i
\(550\) −5.95456 + 6.01274i −0.253903 + 0.256384i
\(551\) −4.73780 2.73537i −0.201837 0.116531i
\(552\) 1.30504 0.477126i 0.0555461 0.0203078i
\(553\) −30.8439 15.0107i −1.31162 0.638320i
\(554\) −30.7802 24.3138i −1.30773 1.03300i
\(555\) 7.63556 + 21.8133i 0.324112 + 0.925923i
\(556\) −15.5591 + 14.7075i −0.659853 + 0.623739i
\(557\) −12.1644 3.25943i −0.515420 0.138106i −0.00827282 0.999966i \(-0.502633\pi\)
−0.507147 + 0.861859i \(0.669300\pi\)
\(558\) −3.60988 1.55510i −0.152819 0.0658324i
\(559\) 13.2543 0.560598
\(560\) 8.13955 + 22.2204i 0.343959 + 0.938985i
\(561\) 10.3467 0.436836
\(562\) −13.0152 5.60680i −0.549014 0.236509i
\(563\) 36.5359 + 9.78976i 1.53980 + 0.412589i 0.926202 0.377026i \(-0.123053\pi\)
0.613602 + 0.789616i \(0.289720\pi\)
\(564\) −11.4816 + 10.8532i −0.483461 + 0.457001i
\(565\) 16.3549 33.9712i 0.688057 1.42918i
\(566\) −14.8151 11.7027i −0.622725 0.491901i
\(567\) −4.02929 5.96258i −0.169214 0.250405i
\(568\) 8.94225 + 24.4589i 0.375208 + 1.02627i
\(569\) 6.18069 + 3.56843i 0.259108 + 0.149596i 0.623928 0.781482i \(-0.285536\pi\)
−0.364819 + 0.931078i \(0.618869\pi\)
\(570\) 16.8673 + 19.4129i 0.706492 + 0.813116i
\(571\) 8.71805 5.03337i 0.364839 0.210640i −0.306362 0.951915i \(-0.599112\pi\)
0.671201 + 0.741275i \(0.265779\pi\)
\(572\) −10.1534 + 5.48726i −0.424535 + 0.229434i
\(573\) 3.29733 3.29733i 0.137748 0.137748i
\(574\) −11.3202 + 32.4044i −0.472497 + 1.35253i
\(575\) 1.57289 + 1.16030i 0.0655941 + 0.0483878i
\(576\) 11.1866 2.00575i 0.466108 0.0835731i
\(577\) −19.7488 5.29167i −0.822152 0.220295i −0.176865 0.984235i \(-0.556596\pi\)
−0.645287 + 0.763940i \(0.723262\pi\)
\(578\) −25.6282 34.3901i −1.06599 1.43044i
\(579\) −16.3941 9.46511i −0.681314 0.393357i
\(580\) 3.35909 + 1.73520i 0.139479 + 0.0720504i
\(581\) −7.00658 + 8.07418i −0.290682 + 0.334974i
\(582\) 19.1690 2.24987i 0.794580 0.0932599i
\(583\) 0.875935 + 3.26903i 0.0362775 + 0.135390i
\(584\) 24.0347 2.13767i 0.994563 0.0884573i
\(585\) 12.6549 8.63006i 0.523216 0.356809i
\(586\) −41.4880 + 16.5052i −1.71385 + 0.681824i
\(587\) −33.1414 33.1414i −1.36789 1.36789i −0.863442 0.504448i \(-0.831696\pi\)
−0.504448 0.863442i \(-0.668304\pi\)
\(588\) 10.4623 + 14.1456i 0.431457 + 0.583356i
\(589\) 12.6602 0.521656
\(590\) 15.2754 7.44580i 0.628877 0.306539i
\(591\) −15.1891 + 8.76943i −0.624796 + 0.360726i
\(592\) −32.2042 + 6.71417i −1.32358 + 0.275951i
\(593\) 17.1891 4.60580i 0.705871 0.189138i 0.112012 0.993707i \(-0.464270\pi\)
0.593859 + 0.804569i \(0.297604\pi\)
\(594\) 7.37826 + 5.82821i 0.302733 + 0.239134i
\(595\) 40.2690 5.90441i 1.65087 0.242057i
\(596\) −12.9949 + 3.09303i −0.532291 + 0.126695i
\(597\) 1.46571 + 5.47009i 0.0599873 + 0.223876i
\(598\) 1.59289 + 2.13748i 0.0651381 + 0.0874080i
\(599\) −25.9248 + 14.9677i −1.05926 + 0.611564i −0.925227 0.379413i \(-0.876126\pi\)
−0.134032 + 0.990977i \(0.542793\pi\)
\(600\) −12.2716 12.8563i −0.500984 0.524856i
\(601\) 40.8962i 1.66819i 0.551621 + 0.834095i \(0.314010\pi\)
−0.551621 + 0.834095i \(0.685990\pi\)
\(602\) 4.46716 + 9.26406i 0.182068 + 0.377575i
\(603\) 5.72767 + 5.72767i 0.233249 + 0.233249i
\(604\) −7.94600 + 26.6346i −0.323318 + 1.08375i
\(605\) −3.97507 + 21.0217i −0.161610 + 0.854655i
\(606\) −0.205311 + 1.40635i −0.00834017 + 0.0571292i
\(607\) 1.49261 + 5.57049i 0.0605831 + 0.226099i 0.989579 0.143991i \(-0.0459936\pi\)
−0.928996 + 0.370090i \(0.879327\pi\)
\(608\) −30.5355 + 20.1887i −1.23838 + 0.818761i
\(609\) 2.75981 + 0.533988i 0.111833 + 0.0216383i
\(610\) 8.52375 12.6305i 0.345117 0.511394i
\(611\) −26.2494 15.1551i −1.06194 0.613109i
\(612\) 0.549729 19.5385i 0.0222215 0.789799i
\(613\) −1.29375 + 4.82833i −0.0522540 + 0.195015i −0.987119 0.159990i \(-0.948854\pi\)
0.934865 + 0.355004i \(0.115521\pi\)
\(614\) 4.29535 + 10.7969i 0.173346 + 0.435728i
\(615\) −1.92939 25.7071i −0.0778006 1.03661i
\(616\) −7.25734 5.24728i −0.292407 0.211419i
\(617\) 22.8412 + 22.8412i 0.919550 + 0.919550i 0.996997 0.0774463i \(-0.0246766\pi\)
−0.0774463 + 0.996997i \(0.524677\pi\)
\(618\) −22.0794 9.51154i −0.888163 0.382610i
\(619\) 4.70413 2.71593i 0.189075 0.109163i −0.402474 0.915431i \(-0.631850\pi\)
0.591550 + 0.806269i \(0.298516\pi\)
\(620\) −8.73986 + 0.409187i −0.351001 + 0.0164334i
\(621\) 1.08586 1.88077i 0.0435741 0.0754726i
\(622\) 20.0017 2.34760i 0.801995 0.0941303i
\(623\) −3.56285 + 7.32091i −0.142742 + 0.293306i
\(624\) −10.9203 21.6404i −0.437163 0.866310i
\(625\) 5.55203 24.3757i 0.222081 0.975028i
\(626\) −16.5634 2.41806i −0.662008 0.0966451i
\(627\) −9.40081 2.51894i −0.375432 0.100597i
\(628\) 3.76506 2.03477i 0.150242 0.0811962i
\(629\) 56.5780i 2.25591i
\(630\) 10.2971 + 5.93647i 0.410246 + 0.236515i
\(631\) −20.0028 −0.796299 −0.398150 0.917320i \(-0.630348\pi\)
−0.398150 + 0.917320i \(0.630348\pi\)
\(632\) −6.31581 + 36.1230i −0.251229 + 1.43690i
\(633\) 1.39290 5.19839i 0.0553629 0.206617i
\(634\) 0.189212 1.29608i 0.00751456 0.0514739i
\(635\) −25.0687 12.0690i −0.994822 0.478943i
\(636\) −6.91483 + 1.64586i −0.274191 + 0.0652627i
\(637\) −20.2670 + 26.9918i −0.803009 + 1.06946i
\(638\) −1.42106 + 0.166791i −0.0562605 + 0.00660330i
\(639\) 11.3277 + 6.54008i 0.448119 + 0.258721i
\(640\) 20.4273 14.9240i 0.807460 0.589922i
\(641\) 0.897404 + 1.55435i 0.0354453 + 0.0613931i 0.883204 0.468989i \(-0.155382\pi\)
−0.847759 + 0.530382i \(0.822048\pi\)
\(642\) −12.4117 + 28.8116i −0.489850 + 1.13710i
\(643\) −15.7410 + 15.7410i −0.620765 + 0.620765i −0.945727 0.324962i \(-0.894648\pi\)
0.324962 + 0.945727i \(0.394648\pi\)
\(644\) −0.957124 + 1.83375i −0.0377160 + 0.0722598i
\(645\) −5.85541 5.03784i −0.230557 0.198365i
\(646\) 23.2724 + 58.4983i 0.915641 + 2.30158i
\(647\) −31.2692 8.37855i −1.22932 0.329395i −0.415004 0.909820i \(-0.636220\pi\)
−0.814314 + 0.580425i \(0.802887\pi\)
\(648\) −4.93662 + 5.90048i −0.193929 + 0.231793i
\(649\) −3.21553 + 5.56946i −0.126221 + 0.218620i
\(650\) 16.9044 29.6109i 0.663047 1.16143i
\(651\) −6.14891 + 2.12316i −0.240995 + 0.0832133i
\(652\) 3.55908 + 2.19056i 0.139385 + 0.0857889i
\(653\) −18.4209 + 4.93587i −0.720866 + 0.193155i −0.600558 0.799581i \(-0.705055\pi\)
−0.120308 + 0.992737i \(0.538388\pi\)
\(654\) −2.30102 + 15.7617i −0.0899770 + 0.616332i
\(655\) 3.46419 18.3200i 0.135357 0.715822i
\(656\) 36.6367 + 2.06323i 1.43042 + 0.0805554i
\(657\) 8.56975 8.56975i 0.334338 0.334338i
\(658\) 1.74565 23.4547i 0.0680525 0.914358i
\(659\) −2.39538 −0.0933107 −0.0466554 0.998911i \(-0.514856\pi\)
−0.0466554 + 0.998911i \(0.514856\pi\)
\(660\) 6.57116 + 1.43508i 0.255782 + 0.0558605i
\(661\) −8.98443 15.5615i −0.349454 0.605272i 0.636699 0.771113i \(-0.280299\pi\)
−0.986153 + 0.165841i \(0.946966\pi\)
\(662\) −12.4300 16.6797i −0.483106 0.648274i
\(663\) −40.2685 + 10.7899i −1.56390 + 0.419046i
\(664\) 10.3647 + 4.81497i 0.402228 + 0.186857i
\(665\) −38.0253 4.43901i −1.47456 0.172138i
\(666\) −10.2418 + 12.9657i −0.396863 + 0.502411i
\(667\) 0.0855348 + 0.319220i 0.00331192 + 0.0123603i
\(668\) 17.2435 + 0.485156i 0.667171 + 0.0187713i
\(669\) 14.3617 + 24.8753i 0.555257 + 0.961733i
\(670\) 17.0470 + 5.87430i 0.658584 + 0.226944i
\(671\) 5.76656i 0.222616i
\(672\) 11.4449 14.9263i 0.441498 0.575794i
\(673\) −15.1382 + 15.1382i −0.583535 + 0.583535i −0.935873 0.352338i \(-0.885387\pi\)
0.352338 + 0.935873i \(0.385387\pi\)
\(674\) −1.25577 3.15653i −0.0483703 0.121585i
\(675\) −27.6037 3.10389i −1.06247 0.119469i
\(676\) 14.8995 14.0840i 0.573057 0.541693i
\(677\) 28.7703 7.70899i 1.10573 0.296280i 0.340636 0.940195i \(-0.389357\pi\)
0.765097 + 0.643915i \(0.222691\pi\)
\(678\) −29.7632 + 3.49331i −1.14305 + 0.134160i
\(679\) −18.8310 + 21.7003i −0.722667 + 0.832781i
\(680\) −17.9566 39.6314i −0.688602 1.51980i
\(681\) −0.627746 + 1.08729i −0.0240553 + 0.0416650i
\(682\) 2.65501 1.97857i 0.101666 0.0757632i
\(683\) −12.2873 + 45.8567i −0.470159 + 1.75466i 0.169034 + 0.985610i \(0.445935\pi\)
−0.639193 + 0.769046i \(0.720732\pi\)
\(684\) −5.25622 + 17.6186i −0.200977 + 0.673664i
\(685\) 1.78586 + 23.7946i 0.0682340 + 0.909145i
\(686\) −25.6965 5.06839i −0.981098 0.193512i
\(687\) 3.57479 + 3.57479i 0.136387 + 0.136387i
\(688\) 8.19946 7.32518i 0.312602 0.279270i
\(689\) −6.81817 11.8094i −0.259752 0.449903i
\(690\) 0.108738 1.54972i 0.00413959 0.0589970i
\(691\) 9.12300 15.8015i 0.347055 0.601118i −0.638670 0.769481i \(-0.720515\pi\)
0.985725 + 0.168364i \(0.0538483\pi\)
\(692\) −8.53349 + 13.8647i −0.324395 + 0.527056i
\(693\) −4.48687 + 0.317635i −0.170442 + 0.0120660i
\(694\) −10.9216 8.62720i −0.414580 0.327484i
\(695\) 7.90856 + 22.5932i 0.299989 + 0.857008i
\(696\) −0.266224 2.99327i −0.0100912 0.113460i
\(697\) 16.3341 60.9598i 0.618699 2.30902i
\(698\) −10.9994 + 25.5331i −0.416332 + 0.966443i
\(699\) 23.7557i 0.898521i
\(700\) 26.3938 + 1.83542i 0.997591 + 0.0693724i
\(701\) 8.66262i 0.327183i −0.986528 0.163591i \(-0.947692\pi\)
0.986528 0.163591i \(-0.0523079\pi\)
\(702\) −34.7936 14.9887i −1.31320 0.565711i
\(703\) 13.7742 51.4059i 0.519503 1.93881i
\(704\) −3.24854 + 9.00597i −0.122434 + 0.339425i
\(705\) 5.83598 + 16.6722i 0.219796 + 0.627913i
\(706\) 7.48207 9.47197i 0.281591 0.356482i
\(707\) −1.18462 1.75302i −0.0445524 0.0659291i
\(708\) −11.5027 7.07974i −0.432299 0.266073i
\(709\) 16.4006 28.4067i 0.615937 1.06683i −0.374282 0.927315i \(-0.622111\pi\)
0.990219 0.139520i \(-0.0445559\pi\)
\(710\) 29.0448 + 2.03796i 1.09003 + 0.0764831i
\(711\) 9.20929 + 15.9510i 0.345375 + 0.598208i
\(712\) 8.57393 + 1.49908i 0.321322 + 0.0561804i
\(713\) −0.540789 0.540789i −0.0202527 0.0202527i
\(714\) −21.1134 24.5090i −0.790151 0.917225i
\(715\) 0.965735 + 12.8674i 0.0361164 + 0.481212i
\(716\) 2.34934 7.87486i 0.0877988 0.294297i
\(717\) 1.91662 7.15291i 0.0715773 0.267130i
\(718\) 22.9101 + 30.7427i 0.854996 + 1.14731i
\(719\) 5.31567 9.20700i 0.198241 0.343363i −0.749717 0.661758i \(-0.769811\pi\)
0.947958 + 0.318395i \(0.103144\pi\)
\(720\) 3.05913 12.3327i 0.114007 0.459612i
\(721\) 33.8286 11.6807i 1.25984 0.435013i
\(722\) −3.77105 32.1296i −0.140344 1.19574i
\(723\) 17.2433 4.62034i 0.641287 0.171832i
\(724\) 19.9650 + 21.1210i 0.741994 + 0.784956i
\(725\) 3.30426 2.63627i 0.122717 0.0979088i
\(726\) 15.8003 6.28585i 0.586404 0.233290i
\(727\) −9.37189 + 9.37189i −0.347584 + 0.347584i −0.859209 0.511625i \(-0.829044\pi\)
0.511625 + 0.859209i \(0.329044\pi\)
\(728\) 33.7172 + 12.8538i 1.24964 + 0.476395i
\(729\) 24.8095i 0.918872i
\(730\) 8.78915 25.5058i 0.325301 0.944012i
\(731\) −9.45496 16.3765i −0.349704 0.605706i
\(732\) −12.1065 0.340622i −0.447468 0.0125898i
\(733\) 4.99292 + 18.6338i 0.184418 + 0.688256i 0.994754 + 0.102292i \(0.0326175\pi\)
−0.810337 + 0.585964i \(0.800716\pi\)
\(734\) −35.5512 28.0825i −1.31222 1.03655i
\(735\) 19.2128 4.22099i 0.708674 0.155693i
\(736\) 2.16671 + 0.441967i 0.0798660 + 0.0162911i
\(737\) −6.59112 + 1.76608i −0.242787 + 0.0650546i
\(738\) 14.7783 11.0130i 0.543995 0.405396i
\(739\) −6.27429 10.8674i −0.230803 0.399763i 0.727241 0.686382i \(-0.240802\pi\)
−0.958045 + 0.286619i \(0.907469\pi\)
\(740\) −7.84737 + 35.9327i −0.288475 + 1.32091i
\(741\) 39.2142 1.44057
\(742\) 5.95619 8.74571i 0.218659 0.321065i
\(743\) 25.8943 25.8943i 0.949972 0.949972i −0.0488353 0.998807i \(-0.515551\pi\)
0.998807 + 0.0488353i \(0.0155509\pi\)
\(744\) 3.99702 + 5.69087i 0.146538 + 0.208637i
\(745\) −2.77486 + 14.6745i −0.101663 + 0.537633i
\(746\) 15.1898 + 2.21752i 0.556136 + 0.0811892i
\(747\) 5.54456 1.48566i 0.202865 0.0543575i
\(748\) 14.0227 + 8.63077i 0.512722 + 0.315572i
\(749\) −15.2423 44.1432i −0.556940 1.61296i
\(750\) −18.7227 + 6.65608i −0.683658 + 0.243046i
\(751\) 22.8478 39.5736i 0.833729 1.44406i −0.0613315 0.998117i \(-0.519535\pi\)
0.895061 0.445944i \(-0.147132\pi\)
\(752\) −24.6142 + 5.13175i −0.897587 + 0.187135i
\(753\) 28.2567 + 7.57135i 1.02973 + 0.275915i
\(754\) 5.35676 2.13108i 0.195082 0.0776095i
\(755\) 23.5565 + 20.2674i 0.857308 + 0.737605i
\(756\) −1.25036 29.3706i −0.0454750 1.06820i
\(757\) −26.0085 + 26.0085i −0.945296 + 0.945296i −0.998579 0.0532832i \(-0.983031\pi\)
0.0532832 + 0.998579i \(0.483031\pi\)
\(758\) −21.0457 9.06626i −0.764416 0.329301i
\(759\) 0.293963 + 0.509158i 0.0106702 + 0.0184813i
\(760\) 6.66660 + 40.3801i 0.241823 + 1.46474i
\(761\) 17.7976 + 10.2755i 0.645164 + 0.372486i 0.786601 0.617462i \(-0.211839\pi\)
−0.141437 + 0.989947i \(0.545172\pi\)
\(762\) 2.57786 + 21.9635i 0.0933859 + 0.795653i
\(763\) −13.2767 19.6470i −0.480648 0.711269i
\(764\) 7.21935 1.71834i 0.261187 0.0621675i
\(765\) −19.6903 9.47962i −0.711904 0.342736i
\(766\) 13.8940 + 2.02835i 0.502009 + 0.0732872i
\(767\) 6.70658 25.0293i 0.242160 0.903755i
\(768\) −18.7155 7.35204i −0.675336 0.265294i
\(769\) −1.71324 −0.0617811 −0.0308906 0.999523i \(-0.509834\pi\)
−0.0308906 + 0.999523i \(0.509834\pi\)
\(770\) −8.66811 + 5.01174i −0.312377 + 0.180611i
\(771\) 6.50663i 0.234330i
\(772\) −14.3233 26.5033i −0.515507 0.953874i
\(773\) 30.4346 + 8.15493i 1.09466 + 0.293312i 0.760587 0.649236i \(-0.224911\pi\)
0.334070 + 0.942548i \(0.391578\pi\)
\(774\) 0.797747 5.46448i 0.0286744 0.196417i
\(775\) −3.57177 + 9.10676i −0.128302 + 0.327125i
\(776\) 27.8563 + 12.9408i 0.999984 + 0.464547i
\(777\) 1.93101 + 27.2771i 0.0692745 + 0.978561i
\(778\) −2.40459 20.4872i −0.0862086 0.734502i
\(779\) −29.6819 + 51.4105i −1.06346 + 1.84197i
\(780\) −27.0711 + 1.26743i −0.969301 + 0.0453813i
\(781\) −9.54259 + 5.50942i −0.341461 + 0.197142i
\(782\) 1.50469 3.49288i 0.0538076 0.124905i
\(783\) −3.32109 3.32109i −0.118686 0.118686i
\(784\) 2.37971 + 27.8987i 0.0849895 + 0.996382i
\(785\) −0.358111 4.77144i −0.0127815 0.170300i
\(786\) −13.7696 + 5.47799i −0.491147 + 0.195393i
\(787\) −12.2101 + 45.5688i −0.435244 + 1.62435i 0.305237 + 0.952276i \(0.401264\pi\)
−0.740481 + 0.672077i \(0.765402\pi\)
\(788\) −27.9008 0.785005i −0.993924 0.0279646i
\(789\) −13.0587 7.53947i −0.464903 0.268412i
\(790\) 33.9846 + 22.9347i 1.20912 + 0.815979i
\(791\) 29.2384 33.6935i 1.03960 1.19800i
\(792\) 1.65117 + 4.51629i 0.0586718 + 0.160480i
\(793\) −6.01361 22.4431i −0.213550 0.796978i
\(794\) 23.6723 + 3.45587i 0.840100 + 0.122644i
\(795\) −1.47656 + 7.80861i −0.0523681 + 0.276943i
\(796\) −2.57647 + 8.63620i −0.0913206 + 0.306102i
\(797\) −36.0661 36.0661i −1.27753 1.27753i −0.942048 0.335477i \(-0.891103\pi\)
−0.335477 0.942048i \(-0.608897\pi\)
\(798\) 13.2165 + 27.4086i 0.467860 + 0.970255i
\(799\) 43.2434i 1.52984i
\(800\) −5.90732 27.6605i −0.208855 0.977947i
\(801\) 3.78602 2.18586i 0.133772 0.0772336i
\(802\) −16.3563 + 12.1890i −0.577559 + 0.430408i
\(803\) 2.64242 + 9.86165i 0.0932490 + 0.348010i
\(804\) −3.31843 13.9419i −0.117032 0.491692i
\(805\) 1.43465 + 1.81388i 0.0505649 + 0.0639310i
\(806\) −8.26982 + 10.4692i −0.291292 + 0.368763i
\(807\) 0.194954 0.0522379i 0.00686272 0.00183886i
\(808\) −1.45138 + 1.73476i −0.0510594 + 0.0610286i
\(809\) 6.88755 3.97653i 0.242153 0.139807i −0.374013 0.927424i \(-0.622018\pi\)
0.616166 + 0.787616i \(0.288685\pi\)
\(810\) 3.76872 + 7.73169i 0.132419 + 0.271664i
\(811\) 8.31140 0.291853 0.145926 0.989295i \(-0.453384\pi\)
0.145926 + 0.989295i \(0.453384\pi\)
\(812\) 3.29492 + 3.02584i 0.115629 + 0.106186i
\(813\) −7.37054 7.37054i −0.258496 0.258496i
\(814\) −5.14519 12.9331i −0.180339 0.453306i
\(815\) 3.86028 2.63254i 0.135220 0.0922137i
\(816\) −18.9479 + 28.9299i −0.663311 + 1.01275i
\(817\) 4.60371 + 17.1813i 0.161063 + 0.601097i
\(818\) 0.768615 + 6.54864i 0.0268740 + 0.228968i
\(819\) 17.1314 5.91531i 0.598618 0.206698i
\(820\) 18.8289 36.4500i 0.657535 1.27289i
\(821\) 26.1686 + 15.1084i 0.913289 + 0.527288i 0.881488 0.472207i \(-0.156542\pi\)
0.0318010 + 0.999494i \(0.489876\pi\)
\(822\) 15.2075 11.3329i 0.530421 0.395280i
\(823\) −11.0033 2.94833i −0.383551 0.102772i 0.0618911 0.998083i \(-0.480287\pi\)
−0.445442 + 0.895311i \(0.646954\pi\)
\(824\) −21.9899 31.3087i −0.766053 1.09069i
\(825\) 4.46413 6.05153i 0.155421 0.210687i
\(826\) 19.7545 3.74819i 0.687346 0.130416i
\(827\) 9.75673 9.75673i 0.339275 0.339275i −0.516820 0.856094i \(-0.672884\pi\)
0.856094 + 0.516820i \(0.172884\pi\)
\(828\) 0.977109 0.528065i 0.0339569 0.0183515i
\(829\) 7.84867 4.53143i 0.272596 0.157383i −0.357471 0.933924i \(-0.616361\pi\)
0.630067 + 0.776541i \(0.283028\pi\)
\(830\) 9.64527 8.38048i 0.334792 0.290891i
\(831\) 30.1870 + 17.4284i 1.04717 + 0.604586i
\(832\) 3.25133 38.4384i 0.112719 1.33261i
\(833\) 47.8074 + 5.78646i 1.65643 + 0.200489i
\(834\) 11.7935 14.9300i 0.408375 0.516984i
\(835\) 8.36612 17.3774i 0.289521 0.601371i
\(836\) −10.6397 11.2557i −0.367980 0.389286i
\(837\) 10.4987 + 2.81312i 0.362888 + 0.0972355i
\(838\) 17.8175 41.3603i 0.615497 1.42877i
\(839\) 44.5496 1.53802 0.769012 0.639234i \(-0.220749\pi\)
0.769012 + 0.639234i \(0.220749\pi\)
\(840\) −10.0098 18.4941i −0.345369 0.638106i
\(841\) −28.2853 −0.975354
\(842\) −19.9827 + 46.3864i −0.688649 + 1.59858i
\(843\) 12.1643 + 3.25942i 0.418962 + 0.112260i
\(844\) 6.22408 5.88343i 0.214242 0.202516i
\(845\) −7.57327 21.6354i −0.260529 0.744279i
\(846\) −7.82800 + 9.90990i −0.269132 + 0.340709i
\(847\) −11.0773 + 22.7616i −0.380622 + 0.782099i
\(848\) −10.7445 3.53745i −0.368969 0.121477i
\(849\) 14.5295 + 8.38864i 0.498653 + 0.287897i
\(850\) −48.6447 + 0.236480i −1.66850 + 0.00811120i
\(851\) −2.78420 + 1.60746i −0.0954412 + 0.0551030i
\(852\) −11.0029 20.3594i −0.376954 0.697501i
\(853\) 4.40214 4.40214i 0.150726 0.150726i −0.627716 0.778442i \(-0.716010\pi\)
0.778442 + 0.627716i \(0.216010\pi\)
\(854\) 13.6597 11.7673i 0.467426 0.402668i
\(855\) 15.5825 + 13.4067i 0.532909 + 0.458501i
\(856\) −40.8549 + 28.6948i −1.39639 + 0.980767i
\(857\) 31.8634 + 8.53777i 1.08843 + 0.291645i 0.758046 0.652201i \(-0.226154\pi\)
0.330387 + 0.943846i \(0.392821\pi\)
\(858\) 8.22372 6.12847i 0.280753 0.209223i
\(859\) 14.9024 + 8.60392i 0.508464 + 0.293562i 0.732202 0.681088i \(-0.238493\pi\)
−0.223738 + 0.974649i \(0.571826\pi\)
\(860\) −3.73343 11.7121i −0.127309 0.399379i
\(861\) 5.79438 29.9471i 0.197472 1.02060i
\(862\) 2.40766 + 20.5134i 0.0820051 + 0.698688i
\(863\) 5.91418 + 22.0720i 0.201321 + 0.751340i 0.990540 + 0.137228i \(0.0438192\pi\)
−0.789219 + 0.614112i \(0.789514\pi\)
\(864\) −29.8079 + 9.95678i −1.01409 + 0.338737i
\(865\) 10.2552 + 15.0380i 0.348689 + 0.511309i
\(866\) 0.464387 + 1.16730i 0.0157805 + 0.0396664i
\(867\) 26.9501 + 26.9501i 0.915275 + 0.915275i
\(868\) −10.1046 2.25167i −0.342973 0.0764267i
\(869\) −15.5160 −0.526343
\(870\) −3.17648 1.09460i −0.107693 0.0371103i
\(871\) 23.8105 13.7470i 0.806787 0.465799i
\(872\) −16.2664 + 19.4423i −0.550849 + 0.658401i
\(873\) 14.9016 3.99288i 0.504344 0.135139i
\(874\) −2.21750 + 2.80725i −0.0750079 + 0.0949567i
\(875\) 13.9209 26.0999i 0.470614 0.882339i
\(876\) −20.8599 + 4.96505i −0.704789 + 0.167753i
\(877\) 2.57625 + 9.61469i 0.0869937 + 0.324665i 0.995684 0.0928054i \(-0.0295834\pi\)
−0.908691 + 0.417470i \(0.862917\pi\)
\(878\) −10.4747 + 7.80598i −0.353505 + 0.263439i
\(879\) 34.3626 19.8393i 1.15902 0.669162i
\(880\) 7.70875 + 7.42636i 0.259862 + 0.250342i
\(881\) 23.1848i 0.781117i −0.920578 0.390559i \(-0.872282\pi\)
0.920578 0.390559i \(-0.127718\pi\)
\(882\) 9.90834 + 9.98024i 0.333631 + 0.336052i
\(883\) −3.67564 3.67564i −0.123695 0.123695i 0.642549 0.766244i \(-0.277877\pi\)
−0.766244 + 0.642549i \(0.777877\pi\)
\(884\) −63.5762 18.9669i −2.13830 0.637927i
\(885\) −12.4762 + 8.50817i −0.419382 + 0.285999i
\(886\) −42.3763 6.18643i −1.42366 0.207837i
\(887\) 8.25926 + 30.8240i 0.277319 + 1.03497i 0.954272 + 0.298941i \(0.0966334\pi\)
−0.676953 + 0.736026i \(0.736700\pi\)
\(888\) 27.4560 10.0380i 0.921364 0.336853i
\(889\) −24.8638 21.5762i −0.833905 0.723643i
\(890\) 5.44363 8.06637i 0.182471 0.270385i
\(891\) −2.81900 1.62755i −0.0944401 0.0545250i
\(892\) −1.28561 + 45.6933i −0.0430453 + 1.52992i
\(893\) 10.5278 39.2903i 0.352300 1.31480i
\(894\) 11.0296 4.38793i 0.368886 0.146754i
\(895\) −6.96478 5.99231i −0.232807 0.200301i
\(896\) 27.9622 10.6826i 0.934151 0.356879i
\(897\) −1.67506 1.67506i −0.0559285 0.0559285i
\(898\) −14.7717 + 34.2899i −0.492938 + 1.14427i
\(899\) −1.43240 + 0.826996i −0.0477732 + 0.0275819i
\(900\) −11.1905 8.75155i −0.373016 0.291718i
\(901\) −9.72748 + 16.8485i −0.324069 + 0.561304i
\(902\) 1.80987 + 15.4202i 0.0602620 + 0.513436i
\(903\) −5.11731 7.57265i −0.170293 0.252002i
\(904\) −43.2518 20.0928i −1.43853 0.668277i
\(905\) 30.6695 10.7356i 1.01949 0.356864i
\(906\) 3.56801 24.4404i 0.118539 0.811979i
\(907\) 27.0682 + 7.25289i 0.898783 + 0.240828i 0.678494 0.734606i \(-0.262633\pi\)
0.220290 + 0.975435i \(0.429300\pi\)
\(908\) −1.75775 + 0.949953i −0.0583331 + 0.0315253i
\(909\) 1.13604i 0.0376801i
\(910\) 28.5093 28.5449i 0.945074 0.946253i
\(911\) −7.11545 −0.235745 −0.117873 0.993029i \(-0.537607\pi\)
−0.117873 + 0.993029i \(0.537607\pi\)
\(912\) 24.2589 21.6723i 0.803293 0.717641i
\(913\) −1.25153 + 4.67078i −0.0414197 + 0.154580i
\(914\) −8.23331 1.20196i −0.272334 0.0397574i
\(915\) −5.87375 + 12.2005i −0.194180 + 0.403336i
\(916\) 1.86294 + 7.82684i 0.0615532 + 0.258606i
\(917\) 9.65368 19.8363i 0.318793 0.655053i
\(918\) 6.30063 + 53.6817i 0.207952 + 1.77176i
\(919\) −12.7468 7.35939i −0.420479 0.242764i 0.274803 0.961501i \(-0.411387\pi\)
−0.695282 + 0.718737i \(0.744721\pi\)
\(920\) 1.44009 2.00963i 0.0474784 0.0662554i
\(921\) −5.16301 8.94259i −0.170127 0.294668i
\(922\) 4.50420 + 1.94036i 0.148338 + 0.0639023i
\(923\) 31.3937 31.3937i 1.03334 1.03334i
\(924\) 7.05515 + 3.68243i 0.232097 + 0.121143i
\(925\) 33.0912 + 24.4109i 1.08803 + 0.802626i
\(926\) 45.2584 18.0052i 1.48728 0.591687i
\(927\) −18.5616 4.97358i −0.609644 0.163354i
\(928\) 2.13606 4.27883i 0.0701195 0.140459i
\(929\) −24.9750 + 43.2579i −0.819402 + 1.41925i 0.0867217 + 0.996233i \(0.472361\pi\)
−0.906124 + 0.423013i \(0.860972\pi\)
\(930\) 7.63264 1.48175i 0.250284 0.0485885i
\(931\) −42.0284 16.8964i −1.37742 0.553758i
\(932\) 19.8160 32.1959i 0.649096 1.05461i
\(933\) −17.2866 + 4.63193i −0.565938 + 0.151643i
\(934\) −15.2796 2.23063i −0.499962 0.0729884i
\(935\) 15.2095 10.3721i 0.497403 0.339206i
\(936\) −11.1360 15.8552i −0.363993 0.518244i
\(937\) 36.9882 36.9882i 1.20835 1.20835i 0.236789 0.971561i \(-0.423905\pi\)
0.971561 0.236789i \(-0.0760951\pi\)
\(938\) 17.6333 + 12.0090i 0.575749 + 0.392109i
\(939\) 14.8750 0.485428
\(940\) −5.99787 + 27.4639i −0.195629 + 0.895774i
\(941\) 5.14022 + 8.90311i 0.167566 + 0.290233i 0.937564 0.347814i \(-0.113076\pi\)
−0.769997 + 0.638047i \(0.779743\pi\)
\(942\) −3.04950 + 2.27254i −0.0993580 + 0.0740435i
\(943\) 3.46390 0.928150i 0.112800 0.0302247i
\(944\) −9.68391 19.1902i −0.315184 0.624589i
\(945\) −30.5466 12.1303i −0.993682 0.394600i
\(946\) 3.65058 + 2.88365i 0.118691 + 0.0937557i
\(947\) −8.50962 31.7583i −0.276525 1.03201i −0.954812 0.297210i \(-0.903944\pi\)
0.678287 0.734797i \(-0.262723\pi\)
\(948\) 0.916505 32.5746i 0.0297667 1.05797i
\(949\) −20.5683 35.6253i −0.667675 1.15645i
\(950\) 44.2554 + 11.6279i 1.43584 + 0.377259i
\(951\) 1.16396i 0.0377441i
\(952\) −8.17048 50.8288i −0.264807 1.64737i
\(953\) −3.50587 + 3.50587i −0.113566 + 0.113566i −0.761606 0.648040i \(-0.775589\pi\)
0.648040 + 0.761606i \(0.275589\pi\)
\(954\) −5.27914 + 2.10020i −0.170919 + 0.0679966i
\(955\) 1.54158 8.15249i 0.0498845 0.263808i
\(956\) 8.56425 8.09551i 0.276988 0.261828i
\(957\) 1.22816 0.329086i 0.0397009 0.0106378i
\(958\) −0.0200330 0.170682i −0.000647236 0.00551448i
\(959\) −5.36331 + 27.7192i −0.173190 + 0.895101i
\(960\) −16.0464 + 15.7453i −0.517896 + 0.508177i
\(961\) −13.5862 + 23.5320i −0.438264 + 0.759096i
\(962\) 33.5120 + 44.9693i 1.08047 + 1.44987i
\(963\) −6.49006 + 24.2212i −0.209139 + 0.780518i
\(964\) 27.2239 + 8.12181i 0.876822 + 0.261586i
\(965\) −33.5875 + 2.52084i −1.08122 + 0.0811489i
\(966\) 0.606223 1.73532i 0.0195049 0.0558332i
\(967\) −16.1553 16.1553i −0.519520 0.519520i 0.397906 0.917426i \(-0.369737\pi\)
−0.917426 + 0.397906i \(0.869737\pi\)
\(968\) 26.6575 + 4.66083i 0.856803 + 0.149805i
\(969\) −27.9734 48.4514i −0.898637 1.55648i
\(970\) 25.9228 22.5235i 0.832330 0.723186i
\(971\) −8.64545 + 14.9744i −0.277446 + 0.480550i −0.970749 0.240096i \(-0.922821\pi\)
0.693303 + 0.720646i \(0.256155\pi\)
\(972\) −13.8885 + 22.5651i −0.445473 + 0.723777i
\(973\) 2.00005 + 28.2524i 0.0641185 + 0.905729i
\(974\) 27.1332 34.3494i 0.869404 1.10063i
\(975\) −11.0633 + 28.2076i −0.354310 + 0.903365i
\(976\) −16.1237 10.5604i −0.516106 0.338029i
\(977\) 6.89834 25.7449i 0.220697 0.823654i −0.763386 0.645943i \(-0.776464\pi\)
0.984083 0.177710i \(-0.0568690\pi\)
\(978\) −3.41079 1.46933i −0.109065 0.0469839i
\(979\) 3.68277i 0.117702i
\(980\) 29.5599 + 10.3059i 0.944257 + 0.329209i
\(981\) 12.7322i 0.406508i
\(982\) −19.2361 + 44.6533i −0.613850 + 1.42494i
\(983\) −2.61653 + 9.76501i −0.0834542 + 0.311455i −0.995017 0.0997055i \(-0.968210\pi\)
0.911563 + 0.411161i \(0.134877\pi\)
\(984\) −32.4804 + 2.88883i −1.03544 + 0.0920927i
\(985\) −13.5368 + 28.1175i −0.431317 + 0.895897i
\(986\) −6.45432 5.09838i −0.205547 0.162365i
\(987\) 1.47590 + 20.8483i 0.0469784 + 0.663610i
\(988\) 53.1468 + 32.7110i 1.69082 + 1.04067i
\(989\) 0.537257 0.930557i 0.0170838 0.0295900i
\(990\) 5.36307 + 0.376305i 0.170449 + 0.0119598i
\(991\) −24.4223 42.3006i −0.775799 1.34372i −0.934344 0.356372i \(-0.884014\pi\)
0.158545 0.987352i \(-0.449320\pi\)
\(992\) 0.670036 + 11.0470i 0.0212737 + 0.350741i
\(993\) 13.0712 + 13.0712i 0.414802 + 0.414802i
\(994\) 32.5233 + 11.3618i 1.03158 + 0.360373i
\(995\) 7.63814 + 6.57165i 0.242145 + 0.208335i
\(996\) −9.73203 2.90339i −0.308371 0.0919976i
\(997\) 11.4714 42.8120i 0.363304 1.35587i −0.506402 0.862298i \(-0.669025\pi\)
0.869706 0.493571i \(-0.164309\pi\)
\(998\) −44.9784 + 33.5188i −1.42377 + 1.06102i
\(999\) 22.8449 39.5684i 0.722779 1.25189i
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 280.2.bv.e.117.6 160
5.3 odd 4 inner 280.2.bv.e.173.17 yes 160
7.3 odd 6 inner 280.2.bv.e.157.31 yes 160
8.5 even 2 inner 280.2.bv.e.117.13 yes 160
35.3 even 12 inner 280.2.bv.e.213.13 yes 160
40.13 odd 4 inner 280.2.bv.e.173.31 yes 160
56.45 odd 6 inner 280.2.bv.e.157.17 yes 160
280.213 even 12 inner 280.2.bv.e.213.6 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.bv.e.117.6 160 1.1 even 1 trivial
280.2.bv.e.117.13 yes 160 8.5 even 2 inner
280.2.bv.e.157.17 yes 160 56.45 odd 6 inner
280.2.bv.e.157.31 yes 160 7.3 odd 6 inner
280.2.bv.e.173.17 yes 160 5.3 odd 4 inner
280.2.bv.e.173.31 yes 160 40.13 odd 4 inner
280.2.bv.e.213.6 yes 160 280.213 even 12 inner
280.2.bv.e.213.13 yes 160 35.3 even 12 inner