Properties

Label 504.2.w.a.205.11
Level $504$
Weight $2$
Character 504.205
Analytic conductor $4.024$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [504,2,Mod(205,504)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(504, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("504.205");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 504.w (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.02446026187\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(92\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 205.11
Character \(\chi\) \(=\) 504.205
Dual form 504.2.w.a.445.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.31691 - 0.515516i) q^{2} +(-0.229486 - 1.71678i) q^{3} +(1.46849 + 1.35777i) q^{4} +1.20405i q^{5} +(-0.582816 + 2.37914i) q^{6} +(-2.62096 + 0.361324i) q^{7} +(-1.23391 - 2.54509i) q^{8} +(-2.89467 + 0.787953i) q^{9} +O(q^{10})\) \(q+(-1.31691 - 0.515516i) q^{2} +(-0.229486 - 1.71678i) q^{3} +(1.46849 + 1.35777i) q^{4} +1.20405i q^{5} +(-0.582816 + 2.37914i) q^{6} +(-2.62096 + 0.361324i) q^{7} +(-1.23391 - 2.54509i) q^{8} +(-2.89467 + 0.787953i) q^{9} +(0.620709 - 1.58563i) q^{10} +3.08518i q^{11} +(1.99400 - 2.83266i) q^{12} +(4.30593 - 2.48603i) q^{13} +(3.63783 + 0.875318i) q^{14} +(2.06710 - 0.276313i) q^{15} +(0.312909 + 3.98774i) q^{16} +(1.97677 + 3.42387i) q^{17} +(4.21822 + 0.454588i) q^{18} +(4.41935 + 2.55151i) q^{19} +(-1.63483 + 1.76814i) q^{20} +(1.22179 + 4.41670i) q^{21} +(1.59046 - 4.06290i) q^{22} -8.60244 q^{23} +(-4.08619 + 2.70241i) q^{24} +3.55025 q^{25} +(-6.95210 + 1.05410i) q^{26} +(2.01703 + 4.78869i) q^{27} +(-4.33945 - 3.02807i) q^{28} +(1.49365 + 0.862361i) q^{29} +(-2.86462 - 0.701742i) q^{30} +(-0.751514 + 1.30166i) q^{31} +(1.64367 - 5.41279i) q^{32} +(5.29658 - 0.708006i) q^{33} +(-0.838167 - 5.52798i) q^{34} +(-0.435053 - 3.15578i) q^{35} +(-5.32065 - 2.77321i) q^{36} +(3.01187 + 1.73890i) q^{37} +(-4.50452 - 5.63835i) q^{38} +(-5.25612 - 6.82183i) q^{39} +(3.06442 - 1.48569i) q^{40} +(3.85365 + 6.67472i) q^{41} +(0.667898 - 6.44623i) q^{42} +(8.44603 + 4.87632i) q^{43} +(-4.18898 + 4.53055i) q^{44} +(-0.948739 - 3.48534i) q^{45} +(11.3286 + 4.43469i) q^{46} +(0.619899 + 1.07370i) q^{47} +(6.77427 - 1.45233i) q^{48} +(6.73889 - 1.89403i) q^{49} +(-4.67535 - 1.83021i) q^{50} +(5.42440 - 4.17942i) q^{51} +(9.69867 + 2.19577i) q^{52} +(7.11339 - 4.10692i) q^{53} +(-0.187592 - 7.34607i) q^{54} -3.71473 q^{55} +(4.15363 + 6.22474i) q^{56} +(3.36621 - 8.17259i) q^{57} +(-1.52244 - 1.90565i) q^{58} +(-7.80537 - 4.50644i) q^{59} +(3.41068 + 2.40088i) q^{60} +(-9.17817 + 5.29902i) q^{61} +(1.66070 - 1.32675i) q^{62} +(7.30212 - 3.11111i) q^{63} +(-4.95494 + 6.28081i) q^{64} +(2.99331 + 5.18457i) q^{65} +(-7.34010 - 1.79810i) q^{66} +(-2.51124 - 1.44986i) q^{67} +(-1.74597 + 7.71192i) q^{68} +(1.97414 + 14.7685i) q^{69} +(-1.05393 + 4.38015i) q^{70} +9.13679 q^{71} +(5.57717 + 6.39493i) q^{72} +(-6.91851 - 11.9832i) q^{73} +(-3.06992 - 3.84264i) q^{74} +(-0.814733 - 6.09501i) q^{75} +(3.02538 + 9.74733i) q^{76} +(-1.11475 - 8.08615i) q^{77} +(3.40506 + 11.6933i) q^{78} +(0.333546 + 0.577719i) q^{79} +(-4.80146 + 0.376759i) q^{80} +(7.75826 - 4.56173i) q^{81} +(-1.63398 - 10.7766i) q^{82} +(-1.67229 - 0.965495i) q^{83} +(-4.20269 + 8.14478i) q^{84} +(-4.12253 + 2.38014i) q^{85} +(-8.60881 - 10.7757i) q^{86} +(1.13771 - 2.76218i) q^{87} +(7.85206 - 3.80683i) q^{88} +(-7.05696 + 12.2230i) q^{89} +(-0.547349 + 5.07896i) q^{90} +(-10.3874 + 8.07163i) q^{91} +(-12.6326 - 11.6802i) q^{92} +(2.40713 + 0.991473i) q^{93} +(-0.262842 - 1.73353i) q^{94} +(-3.07216 + 5.32113i) q^{95} +(-9.66978 - 1.57967i) q^{96} +(-3.31897 + 5.74862i) q^{97} +(-9.85089 - 0.979739i) q^{98} +(-2.43098 - 8.93060i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(127\) \(253\) \(281\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31691 0.515516i −0.931194 0.364525i
\(3\) −0.229486 1.71678i −0.132494 0.991184i
\(4\) 1.46849 + 1.35777i 0.734244 + 0.678886i
\(5\) 1.20405i 0.538469i 0.963075 + 0.269235i \(0.0867707\pi\)
−0.963075 + 0.269235i \(0.913229\pi\)
\(6\) −0.582816 + 2.37914i −0.237934 + 0.971281i
\(7\) −2.62096 + 0.361324i −0.990631 + 0.136568i
\(8\) −1.23391 2.54509i −0.436252 0.899824i
\(9\) −2.89467 + 0.787953i −0.964891 + 0.262651i
\(10\) 0.620709 1.58563i 0.196285 0.501419i
\(11\) 3.08518i 0.930218i 0.885253 + 0.465109i \(0.153985\pi\)
−0.885253 + 0.465109i \(0.846015\pi\)
\(12\) 1.99400 2.83266i 0.575618 0.817718i
\(13\) 4.30593 2.48603i 1.19425 0.689501i 0.234983 0.972000i \(-0.424497\pi\)
0.959268 + 0.282499i \(0.0911633\pi\)
\(14\) 3.63783 + 0.875318i 0.972251 + 0.233938i
\(15\) 2.06710 0.276313i 0.533722 0.0713438i
\(16\) 0.312909 + 3.98774i 0.0782271 + 0.996936i
\(17\) 1.97677 + 3.42387i 0.479438 + 0.830411i 0.999722 0.0235823i \(-0.00750719\pi\)
−0.520284 + 0.853993i \(0.674174\pi\)
\(18\) 4.21822 + 0.454588i 0.994243 + 0.107147i
\(19\) 4.41935 + 2.55151i 1.01387 + 0.585357i 0.912322 0.409474i \(-0.134288\pi\)
0.101546 + 0.994831i \(0.467621\pi\)
\(20\) −1.63483 + 1.76814i −0.365559 + 0.395368i
\(21\) 1.22179 + 4.41670i 0.266616 + 0.963803i
\(22\) 1.59046 4.06290i 0.339087 0.866213i
\(23\) −8.60244 −1.79373 −0.896866 0.442302i \(-0.854162\pi\)
−0.896866 + 0.442302i \(0.854162\pi\)
\(24\) −4.08619 + 2.70241i −0.834091 + 0.551627i
\(25\) 3.55025 0.710051
\(26\) −6.95210 + 1.05410i −1.36342 + 0.206725i
\(27\) 2.01703 + 4.78869i 0.388177 + 0.921585i
\(28\) −4.33945 3.02807i −0.820078 0.572252i
\(29\) 1.49365 + 0.862361i 0.277364 + 0.160136i 0.632230 0.774781i \(-0.282140\pi\)
−0.354865 + 0.934917i \(0.615473\pi\)
\(30\) −2.86462 0.701742i −0.523005 0.128120i
\(31\) −0.751514 + 1.30166i −0.134976 + 0.233785i −0.925588 0.378532i \(-0.876429\pi\)
0.790612 + 0.612317i \(0.209762\pi\)
\(32\) 1.64367 5.41279i 0.290563 0.956856i
\(33\) 5.29658 0.708006i 0.922017 0.123248i
\(34\) −0.838167 5.52798i −0.143744 0.948041i
\(35\) −0.435053 3.15578i −0.0735375 0.533424i
\(36\) −5.32065 2.77321i −0.886775 0.462201i
\(37\) 3.01187 + 1.73890i 0.495148 + 0.285874i 0.726708 0.686947i \(-0.241049\pi\)
−0.231560 + 0.972821i \(0.574383\pi\)
\(38\) −4.50452 5.63835i −0.730730 0.914661i
\(39\) −5.25612 6.82183i −0.841653 1.09237i
\(40\) 3.06442 1.48569i 0.484528 0.234908i
\(41\) 3.85365 + 6.67472i 0.601839 + 1.04242i 0.992542 + 0.121899i \(0.0388985\pi\)
−0.390703 + 0.920517i \(0.627768\pi\)
\(42\) 0.667898 6.44623i 0.103059 0.994675i
\(43\) 8.44603 + 4.87632i 1.28801 + 0.743631i 0.978299 0.207200i \(-0.0664352\pi\)
0.309709 + 0.950832i \(0.399769\pi\)
\(44\) −4.18898 + 4.53055i −0.631512 + 0.683007i
\(45\) −0.948739 3.48534i −0.141430 0.519564i
\(46\) 11.3286 + 4.43469i 1.67031 + 0.653860i
\(47\) 0.619899 + 1.07370i 0.0904216 + 0.156615i 0.907689 0.419644i \(-0.137845\pi\)
−0.817267 + 0.576259i \(0.804512\pi\)
\(48\) 6.77427 1.45233i 0.977782 0.209625i
\(49\) 6.73889 1.89403i 0.962699 0.270576i
\(50\) −4.67535 1.83021i −0.661195 0.258831i
\(51\) 5.42440 4.17942i 0.759568 0.585235i
\(52\) 9.69867 + 2.19577i 1.34496 + 0.304499i
\(53\) 7.11339 4.10692i 0.977100 0.564129i 0.0757065 0.997130i \(-0.475879\pi\)
0.901393 + 0.433001i \(0.142545\pi\)
\(54\) −0.187592 7.34607i −0.0255281 0.999674i
\(55\) −3.71473 −0.500894
\(56\) 4.15363 + 6.22474i 0.555052 + 0.831816i
\(57\) 3.36621 8.17259i 0.445865 1.08249i
\(58\) −1.52244 1.90565i −0.199906 0.250224i
\(59\) −7.80537 4.50644i −1.01617 0.586688i −0.103180 0.994663i \(-0.532902\pi\)
−0.912993 + 0.407975i \(0.866235\pi\)
\(60\) 3.41068 + 2.40088i 0.440316 + 0.309953i
\(61\) −9.17817 + 5.29902i −1.17514 + 0.678470i −0.954886 0.296972i \(-0.904023\pi\)
−0.220258 + 0.975442i \(0.570690\pi\)
\(62\) 1.66070 1.32675i 0.210909 0.168497i
\(63\) 7.30212 3.11111i 0.919981 0.391963i
\(64\) −4.95494 + 6.28081i −0.619368 + 0.785101i
\(65\) 2.99331 + 5.18457i 0.371275 + 0.643067i
\(66\) −7.34010 1.79810i −0.903503 0.221330i
\(67\) −2.51124 1.44986i −0.306796 0.177129i 0.338696 0.940896i \(-0.390014\pi\)
−0.645492 + 0.763767i \(0.723348\pi\)
\(68\) −1.74597 + 7.71192i −0.211730 + 0.935208i
\(69\) 1.97414 + 14.7685i 0.237658 + 1.77792i
\(70\) −1.05393 + 4.38015i −0.125969 + 0.523528i
\(71\) 9.13679 1.08434 0.542169 0.840270i \(-0.317603\pi\)
0.542169 + 0.840270i \(0.317603\pi\)
\(72\) 5.57717 + 6.39493i 0.657276 + 0.753650i
\(73\) −6.91851 11.9832i −0.809751 1.40253i −0.913037 0.407878i \(-0.866269\pi\)
0.103286 0.994652i \(-0.467064\pi\)
\(74\) −3.06992 3.84264i −0.356871 0.446698i
\(75\) −0.814733 6.09501i −0.0940772 0.703791i
\(76\) 3.02538 + 9.74733i 0.347035 + 1.11810i
\(77\) −1.11475 8.08615i −0.127038 0.921503i
\(78\) 3.40506 + 11.6933i 0.385547 + 1.32401i
\(79\) 0.333546 + 0.577719i 0.0375269 + 0.0649984i 0.884179 0.467149i \(-0.154719\pi\)
−0.846652 + 0.532147i \(0.821385\pi\)
\(80\) −4.80146 + 0.376759i −0.536819 + 0.0421229i
\(81\) 7.75826 4.56173i 0.862029 0.506859i
\(82\) −1.63398 10.7766i −0.180442 1.19008i
\(83\) −1.67229 0.965495i −0.183557 0.105977i 0.405406 0.914137i \(-0.367130\pi\)
−0.588963 + 0.808160i \(0.700464\pi\)
\(84\) −4.20269 + 8.14478i −0.458551 + 0.888668i
\(85\) −4.12253 + 2.38014i −0.447151 + 0.258163i
\(86\) −8.60881 10.7757i −0.928312 1.16198i
\(87\) 1.13771 2.76218i 0.121976 0.296136i
\(88\) 7.85206 3.80683i 0.837033 0.405810i
\(89\) −7.05696 + 12.2230i −0.748037 + 1.29564i 0.200726 + 0.979647i \(0.435670\pi\)
−0.948763 + 0.315990i \(0.897663\pi\)
\(90\) −0.547349 + 5.07896i −0.0576956 + 0.535369i
\(91\) −10.3874 + 8.07163i −1.08890 + 0.846137i
\(92\) −12.6326 11.6802i −1.31704 1.21774i
\(93\) 2.40713 + 0.991473i 0.249608 + 0.102811i
\(94\) −0.262842 1.73353i −0.0271101 0.178800i
\(95\) −3.07216 + 5.32113i −0.315197 + 0.545937i
\(96\) −9.66978 1.57967i −0.986918 0.161224i
\(97\) −3.31897 + 5.74862i −0.336990 + 0.583684i −0.983865 0.178912i \(-0.942742\pi\)
0.646875 + 0.762596i \(0.276076\pi\)
\(98\) −9.85089 0.979739i −0.995091 0.0989686i
\(99\) −2.43098 8.93060i −0.244323 0.897559i
\(100\) 5.21350 + 4.82044i 0.521350 + 0.482044i
\(101\) 12.3161i 1.22550i 0.790276 + 0.612751i \(0.209937\pi\)
−0.790276 + 0.612751i \(0.790063\pi\)
\(102\) −9.29798 + 2.70754i −0.920637 + 0.268086i
\(103\) 7.14272 0.703793 0.351897 0.936039i \(-0.385537\pi\)
0.351897 + 0.936039i \(0.385537\pi\)
\(104\) −11.6403 7.89144i −1.14142 0.773819i
\(105\) −5.31795 + 1.47110i −0.518978 + 0.143564i
\(106\) −11.4849 + 1.74136i −1.11551 + 0.169136i
\(107\) 6.92675 + 3.99916i 0.669634 + 0.386614i 0.795938 0.605378i \(-0.206978\pi\)
−0.126304 + 0.991992i \(0.540311\pi\)
\(108\) −3.53998 + 9.77080i −0.340634 + 0.940196i
\(109\) −7.01534 + 4.05031i −0.671948 + 0.387949i −0.796814 0.604224i \(-0.793483\pi\)
0.124867 + 0.992174i \(0.460150\pi\)
\(110\) 4.89195 + 1.91500i 0.466429 + 0.182588i
\(111\) 2.29413 5.56977i 0.217750 0.528659i
\(112\) −2.26099 10.3387i −0.213643 0.976912i
\(113\) 1.09625 + 1.89876i 0.103126 + 0.178620i 0.912971 0.408024i \(-0.133782\pi\)
−0.809845 + 0.586644i \(0.800449\pi\)
\(114\) −8.64608 + 9.02720i −0.809780 + 0.845475i
\(115\) 10.3578i 0.965870i
\(116\) 1.02252 + 3.29441i 0.0949386 + 0.305878i
\(117\) −10.5054 + 10.5891i −0.971223 + 0.978964i
\(118\) 7.95581 + 9.95835i 0.732392 + 0.916740i
\(119\) −6.41818 8.25959i −0.588353 0.757155i
\(120\) −3.25385 4.92000i −0.297034 0.449132i
\(121\) 1.48164 0.134694
\(122\) 14.8185 2.24682i 1.34161 0.203418i
\(123\) 10.5747 8.14763i 0.953486 0.734647i
\(124\) −2.87095 + 0.891087i −0.257819 + 0.0800220i
\(125\) 10.2950i 0.920810i
\(126\) −11.2200 + 0.332684i −0.999561 + 0.0296378i
\(127\) −18.0795 −1.60430 −0.802150 0.597122i \(-0.796311\pi\)
−0.802150 + 0.597122i \(0.796311\pi\)
\(128\) 9.76305 5.71689i 0.862940 0.505306i
\(129\) 6.43332 15.6190i 0.566423 1.37518i
\(130\) −1.26919 8.37070i −0.111315 0.734159i
\(131\) 6.53097i 0.570614i 0.958436 + 0.285307i \(0.0920955\pi\)
−0.958436 + 0.285307i \(0.907905\pi\)
\(132\) 8.73928 + 6.15186i 0.760656 + 0.535451i
\(133\) −12.5049 5.09060i −1.08431 0.441411i
\(134\) 2.55964 + 3.20392i 0.221119 + 0.276776i
\(135\) −5.76585 + 2.42861i −0.496245 + 0.209022i
\(136\) 6.27490 9.25580i 0.538068 0.793679i
\(137\) −5.62128 −0.480258 −0.240129 0.970741i \(-0.577190\pi\)
−0.240129 + 0.970741i \(0.577190\pi\)
\(138\) 5.01364 20.4664i 0.426790 1.74222i
\(139\) 1.71098 0.987835i 0.145123 0.0837870i −0.425680 0.904874i \(-0.639965\pi\)
0.570804 + 0.821087i \(0.306632\pi\)
\(140\) 3.64596 5.22493i 0.308140 0.441587i
\(141\) 1.70104 1.31063i 0.143254 0.110375i
\(142\) −12.0323 4.71016i −1.00973 0.395268i
\(143\) 7.66986 + 13.2846i 0.641386 + 1.11091i
\(144\) −4.04792 11.2967i −0.337327 0.941388i
\(145\) −1.03833 + 1.79844i −0.0862286 + 0.149352i
\(146\) 2.93350 + 19.3474i 0.242778 + 1.60120i
\(147\) −4.79812 11.1345i −0.395742 0.918362i
\(148\) 2.06186 + 6.64299i 0.169483 + 0.546050i
\(149\) 22.1587i 1.81531i −0.419719 0.907654i \(-0.637871\pi\)
0.419719 0.907654i \(-0.362129\pi\)
\(150\) −2.06915 + 8.44656i −0.168945 + 0.689659i
\(151\) −16.0856 −1.30903 −0.654514 0.756050i \(-0.727127\pi\)
−0.654514 + 0.756050i \(0.727127\pi\)
\(152\) 1.04075 14.3960i 0.0844163 1.16767i
\(153\) −8.41996 8.35338i −0.680714 0.675331i
\(154\) −2.70052 + 11.2234i −0.217614 + 0.904406i
\(155\) −1.56727 0.904864i −0.125886 0.0726804i
\(156\) 1.54395 17.1544i 0.123615 1.37345i
\(157\) 10.3512 + 5.97626i 0.826115 + 0.476958i 0.852521 0.522693i \(-0.175073\pi\)
−0.0264055 + 0.999651i \(0.508406\pi\)
\(158\) −0.141426 0.932750i −0.0112512 0.0742056i
\(159\) −8.68310 11.2697i −0.688615 0.893742i
\(160\) 6.51730 + 1.97907i 0.515238 + 0.156459i
\(161\) 22.5467 3.10827i 1.77693 0.244966i
\(162\) −12.5685 + 2.00787i −0.987479 + 0.157753i
\(163\) 9.74129 + 5.62413i 0.762996 + 0.440516i 0.830371 0.557212i \(-0.188129\pi\)
−0.0673741 + 0.997728i \(0.521462\pi\)
\(164\) −3.40371 + 15.0341i −0.265785 + 1.17397i
\(165\) 0.852477 + 6.37738i 0.0663653 + 0.496478i
\(166\) 1.70452 + 2.13356i 0.132296 + 0.165596i
\(167\) −4.06731 7.04478i −0.314738 0.545142i 0.664644 0.747160i \(-0.268583\pi\)
−0.979382 + 0.202019i \(0.935250\pi\)
\(168\) 9.73332 8.55936i 0.750942 0.660369i
\(169\) 5.86069 10.1510i 0.450822 0.780847i
\(170\) 6.65599 1.00920i 0.510491 0.0774020i
\(171\) −14.8030 3.90355i −1.13202 0.298512i
\(172\) 5.78195 + 18.6286i 0.440870 + 1.42042i
\(173\) −8.67895 + 5.01080i −0.659849 + 0.380964i −0.792219 0.610237i \(-0.791074\pi\)
0.132371 + 0.991200i \(0.457741\pi\)
\(174\) −2.92221 + 3.05102i −0.221532 + 0.231297i
\(175\) −9.30508 + 1.28279i −0.703398 + 0.0969699i
\(176\) −12.3029 + 0.965381i −0.927367 + 0.0727683i
\(177\) −5.94534 + 14.4343i −0.446879 + 1.08495i
\(178\) 15.5945 12.4586i 1.16886 0.933812i
\(179\) 4.43670 2.56153i 0.331614 0.191458i −0.324943 0.945734i \(-0.605345\pi\)
0.656558 + 0.754276i \(0.272012\pi\)
\(180\) 3.33909 6.40635i 0.248881 0.477501i
\(181\) 0.224272i 0.0166700i −0.999965 0.00833499i \(-0.997347\pi\)
0.999965 0.00833499i \(-0.00265314\pi\)
\(182\) 17.8403 5.27470i 1.32241 0.390987i
\(183\) 11.2035 + 14.5409i 0.828187 + 1.07489i
\(184\) 10.6146 + 21.8940i 0.782520 + 1.61404i
\(185\) −2.09373 + 3.62645i −0.153934 + 0.266622i
\(186\) −2.65884 2.54659i −0.194956 0.186725i
\(187\) −10.5633 + 6.09871i −0.772463 + 0.445982i
\(188\) −0.547522 + 2.41839i −0.0399322 + 0.176379i
\(189\) −7.01683 11.8222i −0.510399 0.859938i
\(190\) 6.78887 5.42369i 0.492517 0.393476i
\(191\) −2.73775 4.74192i −0.198097 0.343114i 0.749815 0.661648i \(-0.230143\pi\)
−0.947911 + 0.318534i \(0.896809\pi\)
\(192\) 11.9199 + 7.06520i 0.860242 + 0.509887i
\(193\) −9.32466 + 16.1508i −0.671204 + 1.16256i 0.306359 + 0.951916i \(0.400889\pi\)
−0.977563 + 0.210643i \(0.932444\pi\)
\(194\) 7.33427 5.85942i 0.526570 0.420682i
\(195\) 8.21385 6.32865i 0.588206 0.453204i
\(196\) 12.4676 + 6.36852i 0.890546 + 0.454894i
\(197\) 2.25777i 0.160859i −0.996760 0.0804297i \(-0.974371\pi\)
0.996760 0.0804297i \(-0.0256293\pi\)
\(198\) −1.40249 + 13.0140i −0.0996705 + 0.924863i
\(199\) 2.41951 + 4.19071i 0.171514 + 0.297072i 0.938949 0.344055i \(-0.111801\pi\)
−0.767435 + 0.641127i \(0.778467\pi\)
\(200\) −4.38069 9.03571i −0.309761 0.638921i
\(201\) −1.91280 + 4.64397i −0.134919 + 0.327560i
\(202\) 6.34917 16.2192i 0.446726 1.14118i
\(203\) −4.22640 1.72052i −0.296635 0.120757i
\(204\) 13.6404 + 1.22768i 0.955016 + 0.0859546i
\(205\) −8.03672 + 4.64000i −0.561309 + 0.324072i
\(206\) −9.40630 3.68219i −0.655368 0.256550i
\(207\) 24.9012 6.77832i 1.73076 0.471126i
\(208\) 11.2610 + 16.3930i 0.780811 + 1.13665i
\(209\) −7.87188 + 13.6345i −0.544510 + 0.943118i
\(210\) 7.76161 + 0.804185i 0.535602 + 0.0554941i
\(211\) 16.9050 9.76013i 1.16379 0.671915i 0.211581 0.977360i \(-0.432139\pi\)
0.952210 + 0.305446i \(0.0988054\pi\)
\(212\) 16.0222 + 3.62741i 1.10041 + 0.249132i
\(213\) −2.09676 15.6859i −0.143668 1.07478i
\(214\) −7.06025 8.83737i −0.482629 0.604110i
\(215\) −5.87135 + 10.1695i −0.400423 + 0.693552i
\(216\) 9.69882 11.0423i 0.659921 0.751335i
\(217\) 1.49937 3.68315i 0.101784 0.250028i
\(218\) 11.3265 1.71736i 0.767130 0.116314i
\(219\) −18.9849 + 14.6275i −1.28288 + 0.988438i
\(220\) −5.45503 5.04376i −0.367778 0.340050i
\(221\) 17.0237 + 9.82864i 1.14514 + 0.661146i
\(222\) −5.89247 + 6.15221i −0.395476 + 0.412909i
\(223\) −8.48171 + 14.6907i −0.567977 + 0.983765i 0.428789 + 0.903405i \(0.358940\pi\)
−0.996766 + 0.0803605i \(0.974393\pi\)
\(224\) −2.35223 + 14.7806i −0.157165 + 0.987572i
\(225\) −10.2768 + 2.79743i −0.685121 + 0.186496i
\(226\) −0.464817 3.06562i −0.0309192 0.203922i
\(227\) 19.6516i 1.30432i −0.758080 0.652161i \(-0.773863\pi\)
0.758080 0.652161i \(-0.226137\pi\)
\(228\) 16.0397 7.43079i 1.06226 0.492116i
\(229\) 6.55011i 0.432844i −0.976300 0.216422i \(-0.930561\pi\)
0.976300 0.216422i \(-0.0694386\pi\)
\(230\) −5.33961 + 13.6403i −0.352084 + 0.899412i
\(231\) −13.6263 + 3.76944i −0.896547 + 0.248011i
\(232\) 0.351755 4.86555i 0.0230938 0.319439i
\(233\) 3.87408 6.71011i 0.253800 0.439594i −0.710769 0.703425i \(-0.751653\pi\)
0.964569 + 0.263831i \(0.0849862\pi\)
\(234\) 19.2935 8.52919i 1.26125 0.557571i
\(235\) −1.29279 + 0.746392i −0.0843323 + 0.0486893i
\(236\) −5.34338 17.2156i −0.347824 1.12064i
\(237\) 0.915272 0.705204i 0.0594533 0.0458079i
\(238\) 4.19419 + 14.1858i 0.271869 + 0.919527i
\(239\) −1.73384 3.00309i −0.112152 0.194254i 0.804485 0.593972i \(-0.202441\pi\)
−0.916638 + 0.399719i \(0.869108\pi\)
\(240\) 1.74868 + 8.15659i 0.112877 + 0.526506i
\(241\) −0.190127 −0.0122472 −0.00612358 0.999981i \(-0.501949\pi\)
−0.00612358 + 0.999981i \(0.501949\pi\)
\(242\) −1.95118 0.763808i −0.125427 0.0490994i
\(243\) −9.61191 12.2724i −0.616604 0.787273i
\(244\) −20.6729 4.68032i −1.32345 0.299627i
\(245\) 2.28052 + 8.11399i 0.145697 + 0.518384i
\(246\) −18.1261 + 5.27825i −1.15568 + 0.336529i
\(247\) 25.3725 1.61442
\(248\) 4.24014 + 0.306541i 0.269249 + 0.0194653i
\(249\) −1.27378 + 3.09252i −0.0807224 + 0.195980i
\(250\) 5.30722 13.5575i 0.335658 0.857452i
\(251\) 13.9646i 0.881437i −0.897645 0.440719i \(-0.854724\pi\)
0.897645 0.440719i \(-0.145276\pi\)
\(252\) 14.9473 + 5.34599i 0.941588 + 0.336766i
\(253\) 26.5401i 1.66856i
\(254\) 23.8091 + 9.32029i 1.49391 + 0.584807i
\(255\) 5.03224 + 6.53127i 0.315131 + 0.409004i
\(256\) −15.8042 + 2.49560i −0.987761 + 0.155975i
\(257\) 16.4225 1.02441 0.512205 0.858863i \(-0.328829\pi\)
0.512205 + 0.858863i \(0.328829\pi\)
\(258\) −16.5239 + 17.2523i −1.02874 + 1.07408i
\(259\) −8.52230 3.46934i −0.529550 0.215574i
\(260\) −2.64383 + 11.6777i −0.163963 + 0.724221i
\(261\) −5.00314 1.31932i −0.309686 0.0816641i
\(262\) 3.36682 8.60068i 0.208003 0.531352i
\(263\) 16.7677 1.03394 0.516971 0.856003i \(-0.327059\pi\)
0.516971 + 0.856003i \(0.327059\pi\)
\(264\) −8.33743 12.6067i −0.513134 0.775886i
\(265\) 4.94495 + 8.56491i 0.303766 + 0.526138i
\(266\) 13.8435 + 13.1503i 0.848797 + 0.806297i
\(267\) 22.6037 + 9.31025i 1.38332 + 0.569778i
\(268\) −1.71914 5.53879i −0.105013 0.338336i
\(269\) 16.9239 9.77102i 1.03187 0.595750i 0.114349 0.993441i \(-0.463522\pi\)
0.917519 + 0.397691i \(0.130188\pi\)
\(270\) 8.84507 0.225871i 0.538294 0.0137461i
\(271\) 0.742734 1.28645i 0.0451179 0.0781464i −0.842585 0.538564i \(-0.818967\pi\)
0.887702 + 0.460418i \(0.152300\pi\)
\(272\) −13.0350 + 8.95422i −0.790361 + 0.542930i
\(273\) 16.2410 + 15.9806i 0.982949 + 0.967190i
\(274\) 7.40270 + 2.89786i 0.447213 + 0.175066i
\(275\) 10.9532i 0.660502i
\(276\) −17.1533 + 24.3678i −1.03251 + 1.46677i
\(277\) 2.54372i 0.152837i −0.997076 0.0764187i \(-0.975651\pi\)
0.997076 0.0764187i \(-0.0243486\pi\)
\(278\) −2.76245 + 0.418849i −0.165680 + 0.0251209i
\(279\) 1.14974 4.36004i 0.0688331 0.261029i
\(280\) −7.49492 + 5.00119i −0.447907 + 0.298878i
\(281\) 0.930613 1.61187i 0.0555157 0.0961561i −0.836932 0.547307i \(-0.815653\pi\)
0.892448 + 0.451151i \(0.148986\pi\)
\(282\) −2.91577 + 0.849062i −0.173631 + 0.0505609i
\(283\) 0.844915 + 0.487812i 0.0502250 + 0.0289974i 0.524902 0.851163i \(-0.324102\pi\)
−0.474677 + 0.880160i \(0.657435\pi\)
\(284\) 13.4173 + 12.4057i 0.796167 + 0.736141i
\(285\) 9.84024 + 4.05310i 0.582885 + 0.240085i
\(286\) −3.25208 21.4485i −0.192299 1.26828i
\(287\) −12.5120 16.1018i −0.738561 0.950458i
\(288\) −0.492864 + 16.9634i −0.0290423 + 0.999578i
\(289\) 0.684732 1.18599i 0.0402783 0.0697641i
\(290\) 2.29451 1.83310i 0.134738 0.107643i
\(291\) 10.6308 + 4.37871i 0.623187 + 0.256685i
\(292\) 6.11073 26.9910i 0.357604 1.57953i
\(293\) 4.03639 2.33041i 0.235808 0.136144i −0.377440 0.926034i \(-0.623196\pi\)
0.613249 + 0.789890i \(0.289862\pi\)
\(294\) 0.578642 + 17.1367i 0.0337471 + 0.999430i
\(295\) 5.42599 9.39809i 0.315913 0.547178i
\(296\) 0.709293 9.81111i 0.0412268 0.570259i
\(297\) −14.7740 + 6.22291i −0.857275 + 0.361090i
\(298\) −11.4231 + 29.1809i −0.661725 + 1.69040i
\(299\) −37.0415 + 21.3859i −2.14217 + 1.23678i
\(300\) 7.07921 10.0567i 0.408718 0.580622i
\(301\) −23.8987 9.72889i −1.37750 0.560764i
\(302\) 21.1832 + 8.29238i 1.21896 + 0.477173i
\(303\) 21.1441 2.82638i 1.21470 0.162371i
\(304\) −8.79192 + 18.4216i −0.504251 + 1.05655i
\(305\) −6.38030 11.0510i −0.365335 0.632779i
\(306\) 6.78201 + 15.3413i 0.387702 + 0.877001i
\(307\) 13.5954i 0.775932i 0.921674 + 0.387966i \(0.126822\pi\)
−0.921674 + 0.387966i \(0.873178\pi\)
\(308\) 9.34216 13.3880i 0.532319 0.762851i
\(309\) −1.63915 12.2625i −0.0932481 0.697589i
\(310\) 1.59748 + 1.99957i 0.0907306 + 0.113568i
\(311\) −7.39899 + 12.8154i −0.419558 + 0.726696i −0.995895 0.0905163i \(-0.971148\pi\)
0.576337 + 0.817212i \(0.304482\pi\)
\(312\) −10.8766 + 21.7948i −0.615766 + 1.23389i
\(313\) −16.9045 29.2795i −0.955500 1.65497i −0.733220 0.679991i \(-0.761984\pi\)
−0.222279 0.974983i \(-0.571350\pi\)
\(314\) −10.5507 13.2064i −0.595410 0.745280i
\(315\) 3.74595 + 8.79215i 0.211060 + 0.495382i
\(316\) −0.294602 + 1.30125i −0.0165727 + 0.0732011i
\(317\) 13.3938 7.73293i 0.752273 0.434325i −0.0742419 0.997240i \(-0.523654\pi\)
0.826514 + 0.562915i \(0.190320\pi\)
\(318\) 5.62515 + 19.3174i 0.315443 + 1.08326i
\(319\) −2.66054 + 4.60820i −0.148962 + 0.258009i
\(320\) −7.56243 5.96602i −0.422753 0.333511i
\(321\) 5.27609 12.8095i 0.294483 0.714954i
\(322\) −31.2942 7.52987i −1.74396 0.419623i
\(323\) 20.1750i 1.12257i
\(324\) 17.5867 + 3.83510i 0.977039 + 0.213061i
\(325\) 15.2871 8.82604i 0.847978 0.489580i
\(326\) −9.92904 12.4282i −0.549918 0.688337i
\(327\) 8.56341 + 11.1143i 0.473558 + 0.614623i
\(328\) 12.2327 18.0439i 0.675438 0.996306i
\(329\) −2.01269 2.59014i −0.110963 0.142799i
\(330\) 2.16500 8.83787i 0.119180 0.486509i
\(331\) 30.1710 17.4193i 1.65835 0.957449i 0.684874 0.728661i \(-0.259857\pi\)
0.973476 0.228788i \(-0.0734762\pi\)
\(332\) −1.14481 3.68840i −0.0628296 0.202427i
\(333\) −10.0885 2.66034i −0.552849 0.145786i
\(334\) 1.72457 + 11.3741i 0.0943642 + 0.622362i
\(335\) 1.74571 3.02367i 0.0953786 0.165201i
\(336\) −17.2304 + 6.25420i −0.939993 + 0.341194i
\(337\) −14.4711 25.0646i −0.788289 1.36536i −0.927014 0.375026i \(-0.877634\pi\)
0.138726 0.990331i \(-0.455699\pi\)
\(338\) −12.9510 + 10.3467i −0.704441 + 0.562784i
\(339\) 3.00817 2.31775i 0.163382 0.125883i
\(340\) −9.28557 2.10225i −0.503581 0.114010i
\(341\) −4.01586 2.31856i −0.217471 0.125557i
\(342\) 17.4819 + 12.7718i 0.945312 + 0.690620i
\(343\) −16.9780 + 7.39911i −0.916727 + 0.399514i
\(344\) 1.98904 27.5128i 0.107242 1.48339i
\(345\) −17.7821 + 2.37697i −0.957355 + 0.127972i
\(346\) 14.0125 2.12461i 0.753318 0.114220i
\(347\) −5.44117 3.14146i −0.292097 0.168642i 0.346790 0.937943i \(-0.387272\pi\)
−0.638887 + 0.769300i \(0.720605\pi\)
\(348\) 5.42112 2.51146i 0.290603 0.134629i
\(349\) −5.57481 3.21862i −0.298413 0.172289i 0.343317 0.939220i \(-0.388450\pi\)
−0.641730 + 0.766931i \(0.721783\pi\)
\(350\) 12.9152 + 3.10760i 0.690348 + 0.166108i
\(351\) 20.5900 + 15.6054i 1.09901 + 0.832954i
\(352\) 16.6995 + 5.07103i 0.890085 + 0.270287i
\(353\) 18.2117 0.969312 0.484656 0.874705i \(-0.338945\pi\)
0.484656 + 0.874705i \(0.338945\pi\)
\(354\) 15.2706 15.9437i 0.811621 0.847397i
\(355\) 11.0012i 0.583882i
\(356\) −26.9591 + 8.36759i −1.42883 + 0.443482i
\(357\) −12.7070 + 12.9141i −0.672527 + 0.683485i
\(358\) −7.16323 + 1.08611i −0.378588 + 0.0574026i
\(359\) 12.0321 20.8403i 0.635032 1.09991i −0.351476 0.936197i \(-0.614320\pi\)
0.986508 0.163711i \(-0.0523465\pi\)
\(360\) −7.69985 + 6.71521i −0.405818 + 0.353923i
\(361\) 3.52042 + 6.09755i 0.185285 + 0.320924i
\(362\) −0.115616 + 0.295345i −0.00607662 + 0.0155230i
\(363\) −0.340015 2.54365i −0.0178462 0.133507i
\(364\) −26.2132 2.25067i −1.37395 0.117967i
\(365\) 14.4284 8.33026i 0.755219 0.436026i
\(366\) −7.25794 24.9245i −0.379379 1.30283i
\(367\) −19.9630 −1.04206 −0.521030 0.853539i \(-0.674452\pi\)
−0.521030 + 0.853539i \(0.674452\pi\)
\(368\) −2.69178 34.3043i −0.140319 1.78824i
\(369\) −16.4144 16.2846i −0.854501 0.847744i
\(370\) 4.62674 3.69635i 0.240533 0.192164i
\(371\) −17.1600 + 13.3343i −0.890903 + 0.692284i
\(372\) 2.18864 + 4.72430i 0.113476 + 0.244943i
\(373\) 16.4338i 0.850911i −0.904979 0.425456i \(-0.860114\pi\)
0.904979 0.425456i \(-0.139886\pi\)
\(374\) 17.0548 2.58590i 0.881884 0.133714i
\(375\) 17.6742 2.36255i 0.912692 0.122001i
\(376\) 1.96776 2.90254i 0.101479 0.149687i
\(377\) 8.57542 0.441657
\(378\) 3.14598 + 19.1860i 0.161812 + 0.986822i
\(379\) 22.7424i 1.16820i 0.811683 + 0.584098i \(0.198552\pi\)
−0.811683 + 0.584098i \(0.801448\pi\)
\(380\) −11.7363 + 3.64273i −0.602060 + 0.186868i
\(381\) 4.14900 + 31.0386i 0.212560 + 1.59016i
\(382\) 1.16083 + 7.65603i 0.0593931 + 0.391716i
\(383\) 24.7287 1.26358 0.631790 0.775140i \(-0.282321\pi\)
0.631790 + 0.775140i \(0.282321\pi\)
\(384\) −12.0551 15.4491i −0.615185 0.788383i
\(385\) 9.73617 1.34222i 0.496201 0.0684059i
\(386\) 20.6057 16.4621i 1.04880 0.837898i
\(387\) −28.2908 7.46026i −1.43810 0.379226i
\(388\) −12.6792 + 3.93537i −0.643688 + 0.199788i
\(389\) 13.9862i 0.709129i −0.935032 0.354564i \(-0.884629\pi\)
0.935032 0.354564i \(-0.115371\pi\)
\(390\) −14.0794 + 4.09987i −0.712938 + 0.207605i
\(391\) −17.0051 29.4537i −0.859984 1.48954i
\(392\) −13.1356 14.8140i −0.663450 0.748220i
\(393\) 11.2122 1.49876i 0.565583 0.0756027i
\(394\) −1.16392 + 2.97327i −0.0586372 + 0.149791i
\(395\) −0.695605 + 0.401607i −0.0349997 + 0.0202071i
\(396\) 8.55585 16.4152i 0.429948 0.824894i
\(397\) −1.69724 0.979904i −0.0851822 0.0491800i 0.456804 0.889567i \(-0.348994\pi\)
−0.541986 + 0.840387i \(0.682327\pi\)
\(398\) −1.02589 6.76607i −0.0514232 0.339152i
\(399\) −5.86976 + 22.6363i −0.293855 + 1.13323i
\(400\) 1.11090 + 14.1575i 0.0555452 + 0.707875i
\(401\) −0.341655 −0.0170614 −0.00853071 0.999964i \(-0.502715\pi\)
−0.00853071 + 0.999964i \(0.502715\pi\)
\(402\) 4.91302 5.12959i 0.245039 0.255841i
\(403\) 7.47315i 0.372264i
\(404\) −16.7225 + 18.0861i −0.831977 + 0.899817i
\(405\) 5.49257 + 9.34136i 0.272928 + 0.464176i
\(406\) 4.67882 + 4.44455i 0.232206 + 0.220579i
\(407\) −5.36484 + 9.29217i −0.265925 + 0.460596i
\(408\) −17.3302 8.64855i −0.857972 0.428167i
\(409\) −17.4370 + 30.2018i −0.862204 + 1.49338i 0.00759318 + 0.999971i \(0.497583\pi\)
−0.869797 + 0.493410i \(0.835750\pi\)
\(410\) 12.9756 1.96740i 0.640820 0.0971628i
\(411\) 1.29000 + 9.65050i 0.0636311 + 0.476024i
\(412\) 10.4890 + 9.69819i 0.516756 + 0.477796i
\(413\) 22.0859 + 8.99093i 1.08677 + 0.442415i
\(414\) −36.2870 3.91057i −1.78341 0.192194i
\(415\) 1.16251 2.01352i 0.0570653 0.0988400i
\(416\) −6.37883 27.3933i −0.312748 1.34307i
\(417\) −2.08854 2.71068i −0.102276 0.132743i
\(418\) 17.3953 13.8973i 0.850834 0.679739i
\(419\) 4.06238 2.34542i 0.198460 0.114581i −0.397477 0.917612i \(-0.630114\pi\)
0.595937 + 0.803031i \(0.296781\pi\)
\(420\) −9.80675 5.06027i −0.478520 0.246916i
\(421\) 21.7094 + 12.5339i 1.05805 + 0.610865i 0.924892 0.380230i \(-0.124155\pi\)
0.133157 + 0.991095i \(0.457489\pi\)
\(422\) −27.2939 + 4.13837i −1.32864 + 0.201452i
\(423\) −2.64043 2.61955i −0.128382 0.127367i
\(424\) −19.2297 13.0367i −0.933879 0.633116i
\(425\) 7.01805 + 12.1556i 0.340425 + 0.589634i
\(426\) −5.32507 + 21.7377i −0.258000 + 1.05320i
\(427\) 22.1410 17.2048i 1.07148 0.832599i
\(428\) 4.74189 + 15.2777i 0.229208 + 0.738474i
\(429\) 21.0466 16.2161i 1.01614 0.782920i
\(430\) 12.9745 10.3655i 0.625688 0.499868i
\(431\) −15.2533 26.4194i −0.734724 1.27258i −0.954844 0.297107i \(-0.903978\pi\)
0.220120 0.975473i \(-0.429355\pi\)
\(432\) −18.4649 + 9.54182i −0.888394 + 0.459081i
\(433\) 22.3235 1.07280 0.536400 0.843964i \(-0.319784\pi\)
0.536400 + 0.843964i \(0.319784\pi\)
\(434\) −3.87325 + 4.07741i −0.185922 + 0.195722i
\(435\) 3.32581 + 1.36987i 0.159460 + 0.0656801i
\(436\) −15.8013 3.57741i −0.756746 0.171327i
\(437\) −38.0172 21.9492i −1.81861 1.04997i
\(438\) 32.5420 9.47613i 1.55492 0.452787i
\(439\) 4.17216 + 7.22639i 0.199126 + 0.344897i 0.948245 0.317539i \(-0.102856\pi\)
−0.749119 + 0.662435i \(0.769523\pi\)
\(440\) 4.58363 + 9.45431i 0.218516 + 0.450717i
\(441\) −18.0145 + 10.7925i −0.857832 + 0.513930i
\(442\) −17.3518 21.7194i −0.825341 1.03309i
\(443\) −0.352662 + 0.203609i −0.0167555 + 0.00967377i −0.508354 0.861148i \(-0.669746\pi\)
0.491599 + 0.870822i \(0.336413\pi\)
\(444\) 10.9314 5.06422i 0.518781 0.240337i
\(445\) −14.7172 8.49696i −0.697661 0.402795i
\(446\) 18.7429 14.9739i 0.887503 0.709034i
\(447\) −38.0416 + 5.08510i −1.79930 + 0.240517i
\(448\) 10.7173 18.2521i 0.506346 0.862331i
\(449\) −28.9395 −1.36574 −0.682869 0.730541i \(-0.739268\pi\)
−0.682869 + 0.730541i \(0.739268\pi\)
\(450\) 14.9757 + 1.61390i 0.705963 + 0.0760801i
\(451\) −20.5927 + 11.8892i −0.969674 + 0.559842i
\(452\) −0.968253 + 4.27675i −0.0455428 + 0.201161i
\(453\) 3.69141 + 27.6154i 0.173438 + 1.29749i
\(454\) −10.1307 + 25.8793i −0.475458 + 1.21458i
\(455\) −9.71868 12.5070i −0.455619 0.586338i
\(456\) −24.9535 + 1.51692i −1.16856 + 0.0710363i
\(457\) −9.84340 17.0493i −0.460455 0.797532i 0.538529 0.842607i \(-0.318980\pi\)
−0.998984 + 0.0450757i \(0.985647\pi\)
\(458\) −3.37669 + 8.62589i −0.157782 + 0.403061i
\(459\) −12.4087 + 16.3722i −0.579187 + 0.764190i
\(460\) 14.0635 15.2103i 0.655716 0.709184i
\(461\) −2.81419 1.62477i −0.131070 0.0756731i 0.433031 0.901379i \(-0.357444\pi\)
−0.564101 + 0.825706i \(0.690777\pi\)
\(462\) 19.8878 + 2.06059i 0.925265 + 0.0958672i
\(463\) −11.1994 19.3979i −0.520480 0.901497i −0.999716 0.0238116i \(-0.992420\pi\)
0.479237 0.877686i \(-0.340914\pi\)
\(464\) −2.97150 + 6.22614i −0.137948 + 0.289042i
\(465\) −1.19379 + 2.89831i −0.0553605 + 0.134406i
\(466\) −8.56098 + 6.83944i −0.396580 + 0.316831i
\(467\) 18.4036 + 10.6253i 0.851617 + 0.491681i 0.861196 0.508273i \(-0.169716\pi\)
−0.00957923 + 0.999954i \(0.503049\pi\)
\(468\) −29.8046 + 1.28606i −1.37772 + 0.0594482i
\(469\) 7.10573 + 2.89267i 0.328112 + 0.133571i
\(470\) 2.08726 0.316476i 0.0962781 0.0145979i
\(471\) 7.88449 19.1422i 0.363298 0.882026i
\(472\) −1.83816 + 25.4259i −0.0846083 + 1.17032i
\(473\) −15.0443 + 26.0575i −0.691739 + 1.19813i
\(474\) −1.56887 + 0.456850i −0.0720607 + 0.0209838i
\(475\) 15.6898 + 9.05851i 0.719898 + 0.415633i
\(476\) 1.78963 20.8435i 0.0820275 0.955361i
\(477\) −17.3549 + 17.4932i −0.794626 + 0.800959i
\(478\) 0.735159 + 4.84861i 0.0336254 + 0.221770i
\(479\) 25.4743 1.16395 0.581976 0.813206i \(-0.302280\pi\)
0.581976 + 0.813206i \(0.302280\pi\)
\(480\) 1.90200 11.6429i 0.0868142 0.531425i
\(481\) 17.2919 0.788441
\(482\) 0.250379 + 0.0980134i 0.0114045 + 0.00446439i
\(483\) −10.5104 37.9944i −0.478238 1.72880i
\(484\) 2.17577 + 2.01173i 0.0988985 + 0.0914422i
\(485\) −6.92165 3.99622i −0.314296 0.181459i
\(486\) 6.33138 + 21.1167i 0.287197 + 0.957871i
\(487\) 16.6969 + 28.9199i 0.756609 + 1.31049i 0.944570 + 0.328309i \(0.106479\pi\)
−0.187961 + 0.982176i \(0.560188\pi\)
\(488\) 24.8115 + 16.8207i 1.12316 + 0.761439i
\(489\) 7.41992 18.0143i 0.335540 0.814635i
\(490\) 1.17966 11.8610i 0.0532916 0.535826i
\(491\) −4.10192 + 2.36824i −0.185117 + 0.106877i −0.589695 0.807626i \(-0.700752\pi\)
0.404578 + 0.914504i \(0.367419\pi\)
\(492\) 26.5914 + 2.39331i 1.19883 + 0.107899i
\(493\) 6.81877i 0.307102i
\(494\) −33.4133 13.0799i −1.50333 0.588494i
\(495\) 10.7529 2.92703i 0.483308 0.131560i
\(496\) −5.42584 2.58954i −0.243628 0.116274i
\(497\) −23.9472 + 3.30134i −1.07418 + 0.148085i
\(498\) 3.27169 3.41590i 0.146608 0.153070i
\(499\) 19.1575i 0.857605i 0.903398 + 0.428803i \(0.141064\pi\)
−0.903398 + 0.428803i \(0.858936\pi\)
\(500\) −13.9782 + 15.1180i −0.625125 + 0.676099i
\(501\) −11.1610 + 8.59935i −0.498635 + 0.384191i
\(502\) −7.19897 + 18.3901i −0.321306 + 0.820789i
\(503\) 7.33907 0.327233 0.163616 0.986524i \(-0.447684\pi\)
0.163616 + 0.986524i \(0.447684\pi\)
\(504\) −16.9282 14.7457i −0.754042 0.656827i
\(505\) −14.8293 −0.659896
\(506\) −13.6818 + 34.9509i −0.608232 + 1.55376i
\(507\) −18.7720 7.73201i −0.833695 0.343391i
\(508\) −26.5496 24.5479i −1.17795 1.08914i
\(509\) 0.737612i 0.0326941i −0.999866 0.0163470i \(-0.994796\pi\)
0.999866 0.0163470i \(-0.00520365\pi\)
\(510\) −3.26003 11.1953i −0.144356 0.495735i
\(511\) 22.4630 + 28.9077i 0.993704 + 1.27880i
\(512\) 22.0991 + 4.86083i 0.976654 + 0.214820i
\(513\) −3.30446 + 26.3094i −0.145895 + 1.16159i
\(514\) −21.6270 8.46608i −0.953924 0.373423i
\(515\) 8.60022i 0.378971i
\(516\) 30.6543 14.2013i 1.34948 0.625179i
\(517\) −3.31255 + 1.91250i −0.145686 + 0.0841118i
\(518\) 9.43458 + 8.96218i 0.414532 + 0.393775i
\(519\) 10.5941 + 13.7500i 0.465031 + 0.603556i
\(520\) 9.50172 14.0155i 0.416678 0.614622i
\(521\) −12.9458 22.4228i −0.567166 0.982360i −0.996845 0.0793783i \(-0.974706\pi\)
0.429679 0.902982i \(-0.358627\pi\)
\(522\) 5.90853 + 4.31662i 0.258610 + 0.188933i
\(523\) 14.6678 + 8.46844i 0.641377 + 0.370299i 0.785145 0.619312i \(-0.212588\pi\)
−0.143768 + 0.989611i \(0.545922\pi\)
\(524\) −8.86757 + 9.59065i −0.387382 + 0.418969i
\(525\) 4.33766 + 15.6804i 0.189311 + 0.684349i
\(526\) −22.0815 8.64403i −0.962801 0.376898i
\(527\) −5.94230 −0.258850
\(528\) 4.48069 + 20.8999i 0.194997 + 0.909550i
\(529\) 51.0020 2.21748
\(530\) −2.09670 13.8284i −0.0910747 0.600667i
\(531\) 26.1449 + 6.89438i 1.13459 + 0.299191i
\(532\) −11.4514 24.4542i −0.496479 1.06023i
\(533\) 33.1871 + 19.1606i 1.43749 + 0.829937i
\(534\) −24.9674 23.9133i −1.08045 1.03483i
\(535\) −4.81521 + 8.34018i −0.208180 + 0.360578i
\(536\) −0.591395 + 8.18032i −0.0255444 + 0.353336i
\(537\) −5.41574 7.02900i −0.233707 0.303324i
\(538\) −27.3243 + 4.14299i −1.17804 + 0.178617i
\(539\) 5.84344 + 20.7907i 0.251695 + 0.895520i
\(540\) −11.7646 4.26232i −0.506267 0.183421i
\(541\) −5.97436 3.44930i −0.256858 0.148297i 0.366043 0.930598i \(-0.380712\pi\)
−0.622900 + 0.782301i \(0.714046\pi\)
\(542\) −1.64130 + 1.31125i −0.0704998 + 0.0563229i
\(543\) −0.385025 + 0.0514672i −0.0165230 + 0.00220867i
\(544\) 21.7819 5.07214i 0.933891 0.217466i
\(545\) −4.87679 8.44685i −0.208899 0.361823i
\(546\) −13.1496 29.4174i −0.562751 1.25895i
\(547\) −35.9571 20.7598i −1.53741 0.887626i −0.998989 0.0449517i \(-0.985687\pi\)
−0.538424 0.842674i \(-0.680980\pi\)
\(548\) −8.25477 7.63241i −0.352626 0.326040i
\(549\) 22.3924 22.5709i 0.955685 0.963302i
\(550\) 5.64654 14.4243i 0.240769 0.615055i
\(551\) 4.40065 + 7.62215i 0.187474 + 0.324714i
\(552\) 35.1512 23.2473i 1.49614 0.989472i
\(553\) −1.08296 1.39366i −0.0460519 0.0592645i
\(554\) −1.31133 + 3.34985i −0.0557130 + 0.142321i
\(555\) 6.70631 + 2.76226i 0.284667 + 0.117251i
\(556\) 3.85381 + 0.872499i 0.163438 + 0.0370022i
\(557\) −17.9043 + 10.3371i −0.758630 + 0.437995i −0.828804 0.559540i \(-0.810978\pi\)
0.0701736 + 0.997535i \(0.477645\pi\)
\(558\) −3.76177 + 5.14906i −0.159248 + 0.217977i
\(559\) 48.4907 2.05094
\(560\) 12.4483 2.72235i 0.526037 0.115040i
\(561\) 12.8943 + 16.7353i 0.544397 + 0.706563i
\(562\) −2.05647 + 1.64294i −0.0867471 + 0.0693031i
\(563\) −5.29495 3.05704i −0.223156 0.128839i 0.384255 0.923227i \(-0.374458\pi\)
−0.607411 + 0.794388i \(0.707792\pi\)
\(564\) 4.27750 + 0.384989i 0.180115 + 0.0162110i
\(565\) −2.28620 + 1.31994i −0.0961813 + 0.0555303i
\(566\) −0.861200 1.07797i −0.0361989 0.0453105i
\(567\) −18.6858 + 14.7594i −0.784732 + 0.619836i
\(568\) −11.2740 23.2539i −0.473044 0.975713i
\(569\) −15.2323 26.3831i −0.638570 1.10604i −0.985747 0.168236i \(-0.946193\pi\)
0.347177 0.937800i \(-0.387140\pi\)
\(570\) −10.8692 10.4103i −0.455262 0.436042i
\(571\) 20.5389 + 11.8581i 0.859527 + 0.496248i 0.863854 0.503743i \(-0.168044\pi\)
−0.00432704 + 0.999991i \(0.501377\pi\)
\(572\) −6.77436 + 29.9222i −0.283250 + 1.25111i
\(573\) −7.51257 + 5.78832i −0.313842 + 0.241811i
\(574\) 8.17643 + 27.6547i 0.341278 + 1.15428i
\(575\) −30.5408 −1.27364
\(576\) 9.39396 22.0851i 0.391415 0.920214i
\(577\) −14.4404 25.0114i −0.601160 1.04124i −0.992646 0.121056i \(-0.961372\pi\)
0.391486 0.920184i \(-0.371961\pi\)
\(578\) −1.51312 + 1.20885i −0.0629377 + 0.0502815i
\(579\) 29.8672 + 12.3020i 1.24124 + 0.511255i
\(580\) −3.96665 + 1.23117i −0.164706 + 0.0511216i
\(581\) 4.73186 + 1.92629i 0.196311 + 0.0799160i
\(582\) −11.7424 11.2467i −0.486740 0.466190i
\(583\) 12.6706 + 21.9461i 0.524763 + 0.908916i
\(584\) −21.9615 + 32.3944i −0.908775 + 1.34049i
\(585\) −12.7499 12.6491i −0.527142 0.522974i
\(586\) −6.51691 + 0.988111i −0.269211 + 0.0408185i
\(587\) −28.4007 16.3972i −1.17222 0.676783i −0.218020 0.975944i \(-0.569960\pi\)
−0.954203 + 0.299161i \(0.903293\pi\)
\(588\) 8.07220 22.8657i 0.332892 0.942965i
\(589\) −6.64241 + 3.83500i −0.273696 + 0.158018i
\(590\) −11.9904 + 9.57923i −0.493637 + 0.394371i
\(591\) −3.87610 + 0.518126i −0.159441 + 0.0213128i
\(592\) −5.99186 + 12.5547i −0.246264 + 0.515994i
\(593\) −8.82204 + 15.2802i −0.362278 + 0.627483i −0.988335 0.152293i \(-0.951334\pi\)
0.626058 + 0.779777i \(0.284667\pi\)
\(594\) 22.6640 0.578757i 0.929915 0.0237467i
\(595\) 9.94499 7.72783i 0.407705 0.316810i
\(596\) 30.0864 32.5397i 1.23239 1.33288i
\(597\) 6.63929 5.11547i 0.271728 0.209362i
\(598\) 59.8050 9.06779i 2.44561 0.370810i
\(599\) 14.5653 25.2279i 0.595124 1.03078i −0.398406 0.917209i \(-0.630436\pi\)
0.993529 0.113575i \(-0.0362302\pi\)
\(600\) −14.5070 + 9.59424i −0.592247 + 0.391683i
\(601\) −5.82948 + 10.0970i −0.237790 + 0.411864i −0.960080 0.279727i \(-0.909756\pi\)
0.722290 + 0.691590i \(0.243090\pi\)
\(602\) 26.4569 + 25.1322i 1.07830 + 1.02431i
\(603\) 8.41164 + 2.21814i 0.342548 + 0.0903297i
\(604\) −23.6215 21.8406i −0.961145 0.888680i
\(605\) 1.78397i 0.0725288i
\(606\) −29.3019 7.17805i −1.19031 0.291588i
\(607\) 0.351624 0.0142720 0.00713600 0.999975i \(-0.497729\pi\)
0.00713600 + 0.999975i \(0.497729\pi\)
\(608\) 21.0748 19.7272i 0.854695 0.800042i
\(609\) −1.98386 + 7.65064i −0.0803902 + 0.310020i
\(610\) 2.70530 + 17.8423i 0.109534 + 0.722414i
\(611\) 5.33849 + 3.08218i 0.215972 + 0.124692i
\(612\) −1.02261 23.6992i −0.0413368 0.957985i
\(613\) 4.11764 2.37732i 0.166310 0.0960191i −0.414535 0.910033i \(-0.636056\pi\)
0.580845 + 0.814014i \(0.302722\pi\)
\(614\) 7.00866 17.9039i 0.282846 0.722543i
\(615\) 9.81018 + 12.7325i 0.395585 + 0.513423i
\(616\) −19.2045 + 12.8147i −0.773770 + 0.516319i
\(617\) 1.95016 + 3.37778i 0.0785107 + 0.135984i 0.902608 0.430464i \(-0.141650\pi\)
−0.824097 + 0.566449i \(0.808317\pi\)
\(618\) −4.16289 + 16.9936i −0.167456 + 0.683581i
\(619\) 4.30673i 0.173102i −0.996247 0.0865510i \(-0.972415\pi\)
0.996247 0.0865510i \(-0.0275846\pi\)
\(620\) −1.07292 3.45678i −0.0430894 0.138828i
\(621\) −17.3514 41.1945i −0.696287 1.65308i
\(622\) 16.3503 13.0624i 0.655588 0.523755i
\(623\) 14.0796 34.5859i 0.564086 1.38566i
\(624\) 25.5590 23.0947i 1.02318 0.924526i
\(625\) 5.35557 0.214223
\(626\) 7.16764 + 47.2729i 0.286476 + 1.88940i
\(627\) 25.2139 + 10.3854i 1.00695 + 0.414752i
\(628\) 7.08619 + 22.8306i 0.282770 + 0.911041i
\(629\) 13.7497i 0.548235i
\(630\) −0.400569 13.5095i −0.0159591 0.538233i
\(631\) 33.6332 1.33892 0.669458 0.742850i \(-0.266527\pi\)
0.669458 + 0.742850i \(0.266527\pi\)
\(632\) 1.05878 1.56176i 0.0421160 0.0621233i
\(633\) −20.6355 26.7824i −0.820186 1.06451i
\(634\) −21.6249 + 3.27882i −0.858834 + 0.130219i
\(635\) 21.7688i 0.863867i
\(636\) 2.55061 28.3390i 0.101138 1.12372i
\(637\) 24.3086 24.9087i 0.963141 0.986917i
\(638\) 5.87928 4.69701i 0.232763 0.185957i
\(639\) −26.4480 + 7.19936i −1.04627 + 0.284802i
\(640\) 6.88344 + 11.7552i 0.272092 + 0.464667i
\(641\) 23.6680 0.934830 0.467415 0.884038i \(-0.345185\pi\)
0.467415 + 0.884038i \(0.345185\pi\)
\(642\) −13.5516 + 14.1490i −0.534839 + 0.558415i
\(643\) −13.5690 + 7.83405i −0.535108 + 0.308945i −0.743094 0.669187i \(-0.766643\pi\)
0.207986 + 0.978132i \(0.433309\pi\)
\(644\) 37.3298 + 26.0488i 1.47100 + 1.02647i
\(645\) 18.8061 + 7.74607i 0.740491 + 0.305001i
\(646\) 10.4006 26.5687i 0.409204 1.04533i
\(647\) 15.4232 + 26.7138i 0.606348 + 1.05023i 0.991837 + 0.127513i \(0.0406996\pi\)
−0.385489 + 0.922713i \(0.625967\pi\)
\(648\) −21.1830 14.1167i −0.832146 0.554556i
\(649\) 13.9032 24.0810i 0.545748 0.945263i
\(650\) −24.6817 + 3.74231i −0.968096 + 0.146785i
\(651\) −6.66724 1.72886i −0.261310 0.0677594i
\(652\) 6.66866 + 21.4854i 0.261165 + 0.841434i
\(653\) 26.3879i 1.03264i −0.856396 0.516320i \(-0.827301\pi\)
0.856396 0.516320i \(-0.172699\pi\)
\(654\) −5.54761 19.0511i −0.216929 0.744956i
\(655\) −7.86364 −0.307258
\(656\) −25.4112 + 17.4559i −0.992141 + 0.681540i
\(657\) 29.4690 + 29.2360i 1.14970 + 1.14061i
\(658\) 1.31526 + 4.44854i 0.0512743 + 0.173422i
\(659\) 38.7004 + 22.3437i 1.50755 + 0.870386i 0.999961 + 0.00878902i \(0.00279767\pi\)
0.507592 + 0.861597i \(0.330536\pi\)
\(660\) −7.40717 + 10.5226i −0.288324 + 0.409590i
\(661\) 8.79746 + 5.07922i 0.342182 + 0.197559i 0.661236 0.750178i \(-0.270032\pi\)
−0.319055 + 0.947736i \(0.603365\pi\)
\(662\) −48.7124 + 7.38589i −1.89326 + 0.287061i
\(663\) 12.9669 31.4815i 0.503593 1.22264i
\(664\) −0.393823 + 5.44745i −0.0152833 + 0.211402i
\(665\) 6.12936 15.0565i 0.237686 0.583867i
\(666\) 11.9142 + 8.70423i 0.461667 + 0.337282i
\(667\) −12.8491 7.41841i −0.497518 0.287242i
\(668\) 3.59242 15.8676i 0.138995 0.613938i
\(669\) 27.1672 + 11.1899i 1.05035 + 0.432627i
\(670\) −3.85769 + 3.08194i −0.149036 + 0.119066i
\(671\) −16.3484 28.3163i −0.631125 1.09314i
\(672\) 25.9149 + 0.646324i 0.999689 + 0.0249325i
\(673\) 16.3493 28.3178i 0.630219 1.09157i −0.357288 0.933994i \(-0.616298\pi\)
0.987507 0.157577i \(-0.0503682\pi\)
\(674\) 6.13584 + 40.4678i 0.236344 + 1.55876i
\(675\) 7.16097 + 17.0011i 0.275626 + 0.654372i
\(676\) 22.3891 6.94915i 0.861120 0.267275i
\(677\) −5.10480 + 2.94726i −0.196194 + 0.113272i −0.594879 0.803815i \(-0.702800\pi\)
0.398685 + 0.917088i \(0.369467\pi\)
\(678\) −5.15632 + 1.50150i −0.198027 + 0.0576649i
\(679\) 6.62178 16.2661i 0.254120 0.624237i
\(680\) 11.1445 + 7.55532i 0.427372 + 0.289733i
\(681\) −33.7375 + 4.50976i −1.29282 + 0.172814i
\(682\) 4.09326 + 5.12357i 0.156739 + 0.196192i
\(683\) 4.94281 2.85374i 0.189132 0.109195i −0.402444 0.915444i \(-0.631839\pi\)
0.591576 + 0.806249i \(0.298506\pi\)
\(684\) −16.4379 25.8315i −0.628520 0.987691i
\(685\) 6.76832i 0.258604i
\(686\) 26.1728 0.991503i 0.999283 0.0378558i
\(687\) −11.2451 + 1.50316i −0.429028 + 0.0573490i
\(688\) −16.8027 + 35.2064i −0.640595 + 1.34223i
\(689\) 20.4199 35.3682i 0.777935 1.34742i
\(690\) 24.6427 + 6.03670i 0.938132 + 0.229813i
\(691\) −21.3296 + 12.3146i −0.811414 + 0.468470i −0.847447 0.530880i \(-0.821861\pi\)
0.0360324 + 0.999351i \(0.488528\pi\)
\(692\) −19.5484 4.42575i −0.743121 0.168242i
\(693\) 9.59835 + 22.5284i 0.364611 + 0.855783i
\(694\) 5.54604 + 6.94202i 0.210525 + 0.263515i
\(695\) 1.18941 + 2.06011i 0.0451168 + 0.0781445i
\(696\) −8.43381 + 0.512689i −0.319683 + 0.0194334i
\(697\) −15.2356 + 26.3888i −0.577089 + 0.999548i
\(698\) 5.68226 + 7.11252i 0.215077 + 0.269213i
\(699\) −12.4088 5.11108i −0.469345 0.193319i
\(700\) −15.4061 10.7504i −0.582297 0.406328i
\(701\) 20.0448i 0.757084i 0.925584 + 0.378542i \(0.123574\pi\)
−0.925584 + 0.378542i \(0.876426\pi\)
\(702\) −19.0703 31.1653i −0.719763 1.17626i
\(703\) 8.87366 + 15.3696i 0.334676 + 0.579677i
\(704\) −19.3774 15.2869i −0.730315 0.576147i
\(705\) 1.57807 + 2.04815i 0.0594335 + 0.0771378i
\(706\) −23.9831 9.38843i −0.902617 0.353338i
\(707\) −4.45012 32.2802i −0.167364 1.21402i
\(708\) −28.3291 + 13.1241i −1.06467 + 0.493235i
\(709\) −16.6788 + 9.62954i −0.626387 + 0.361645i −0.779352 0.626587i \(-0.784451\pi\)
0.152964 + 0.988232i \(0.451118\pi\)
\(710\) 5.67128 14.4875i 0.212840 0.543708i
\(711\) −1.42072 1.40949i −0.0532812 0.0528599i
\(712\) 39.8163 + 2.87851i 1.49218 + 0.107877i
\(713\) 6.46486 11.1975i 0.242111 0.419348i
\(714\) 23.3914 10.4559i 0.875400 0.391304i
\(715\) −15.9954 + 9.23493i −0.598193 + 0.345367i
\(716\) 9.99321 + 2.26245i 0.373464 + 0.0845519i
\(717\) −4.75776 + 3.66578i −0.177682 + 0.136901i
\(718\) −26.5887 + 21.2419i −0.992281 + 0.792742i
\(719\) −2.95045 + 5.11034i −0.110033 + 0.190583i −0.915783 0.401672i \(-0.868429\pi\)
0.805750 + 0.592256i \(0.201762\pi\)
\(720\) 13.6018 4.87392i 0.506908 0.181640i
\(721\) −18.7208 + 2.58084i −0.697199 + 0.0961154i
\(722\) −1.49269 9.84474i −0.0555520 0.366383i
\(723\) 0.0436314 + 0.326406i 0.00162267 + 0.0121392i
\(724\) 0.304510 0.329340i 0.0113170 0.0122398i
\(725\) 5.30285 + 3.06160i 0.196943 + 0.113705i
\(726\) −0.863523 + 3.52503i −0.0320483 + 0.130826i
\(727\) 5.92848 10.2684i 0.219875 0.380835i −0.734895 0.678181i \(-0.762768\pi\)
0.954770 + 0.297347i \(0.0961017\pi\)
\(728\) 33.3601 + 16.4773i 1.23641 + 0.610688i
\(729\) −18.8632 + 19.3179i −0.698637 + 0.715477i
\(730\) −23.2953 + 3.53209i −0.862198 + 0.130729i
\(731\) 38.5575i 1.42610i
\(732\) −3.29096 + 36.5649i −0.121637 + 1.35148i
\(733\) 26.5238i 0.979680i 0.871812 + 0.489840i \(0.162945\pi\)
−0.871812 + 0.489840i \(0.837055\pi\)
\(734\) 26.2894 + 10.2912i 0.970359 + 0.379856i
\(735\) 13.4066 5.77719i 0.494510 0.213095i
\(736\) −14.1396 + 46.5632i −0.521192 + 1.71634i
\(737\) 4.47310 7.74763i 0.164769 0.285388i
\(738\) 13.2213 + 29.9072i 0.486682 + 1.10090i
\(739\) −13.0287 + 7.52215i −0.479270 + 0.276707i −0.720112 0.693858i \(-0.755910\pi\)
0.240842 + 0.970564i \(0.422576\pi\)
\(740\) −7.99852 + 2.48259i −0.294031 + 0.0912616i
\(741\) −5.82264 43.5591i −0.213900 1.60018i
\(742\) 29.4722 8.71380i 1.08196 0.319894i
\(743\) 12.7703 + 22.1188i 0.468496 + 0.811460i 0.999352 0.0360029i \(-0.0114626\pi\)
−0.530855 + 0.847463i \(0.678129\pi\)
\(744\) −0.446789 7.34974i −0.0163801 0.269455i
\(745\) 26.6802 0.977488
\(746\) −8.47190 + 21.6418i −0.310178 + 0.792363i
\(747\) 5.60149 + 1.47711i 0.204948 + 0.0540446i
\(748\) −23.7927 5.38665i −0.869947 0.196955i
\(749\) −19.5997 7.97885i −0.716159 0.291541i
\(750\) −24.4932 6.00007i −0.894366 0.219092i
\(751\) 45.0522 1.64398 0.821989 0.569503i \(-0.192864\pi\)
0.821989 + 0.569503i \(0.192864\pi\)
\(752\) −4.08766 + 2.80797i −0.149061 + 0.102396i
\(753\) −23.9741 + 3.20467i −0.873666 + 0.116785i
\(754\) −11.2930 4.42077i −0.411268 0.160995i
\(755\) 19.3679i 0.704871i
\(756\) 5.74772 26.8880i 0.209043 0.977907i
\(757\) 36.3330i 1.32055i −0.751026 0.660273i \(-0.770441\pi\)
0.751026 0.660273i \(-0.229559\pi\)
\(758\) 11.7240 29.9496i 0.425836 1.08782i
\(759\) −45.5636 + 6.09058i −1.65385 + 0.221074i
\(760\) 17.3335 + 1.25312i 0.628753 + 0.0454556i
\(761\) −49.4239 −1.79162 −0.895808 0.444442i \(-0.853402\pi\)
−0.895808 + 0.444442i \(0.853402\pi\)
\(762\) 10.5371 43.0138i 0.381717 1.55823i
\(763\) 16.9235 13.1505i 0.612671 0.476081i
\(764\) 2.41810 10.6807i 0.0874838 0.386414i
\(765\) 10.0579 10.1381i 0.363645 0.366544i
\(766\) −32.5654 12.7480i −1.17664 0.460606i
\(767\) −44.8125 −1.61809
\(768\) 7.91123 + 26.5596i 0.285472 + 0.958387i
\(769\) 24.1471 + 41.8240i 0.870766 + 1.50821i 0.861206 + 0.508256i \(0.169710\pi\)
0.00956006 + 0.999954i \(0.496957\pi\)
\(770\) −13.5136 3.25157i −0.486995 0.117178i
\(771\) −3.76874 28.1939i −0.135728 1.01538i
\(772\) −35.6222 + 11.0565i −1.28207 + 0.397931i
\(773\) 28.7377 16.5917i 1.03362 0.596762i 0.115602 0.993296i \(-0.463120\pi\)
0.918020 + 0.396533i \(0.129787\pi\)
\(774\) 33.4105 + 24.4088i 1.20091 + 0.877357i
\(775\) −2.66807 + 4.62123i −0.0958398 + 0.165999i
\(776\) 18.7260 + 1.35380i 0.672226 + 0.0485985i
\(777\) −4.00035 + 15.4271i −0.143512 + 0.553444i
\(778\) −7.21011 + 18.4185i −0.258495 + 0.660336i
\(779\) 39.3305i 1.40916i
\(780\) 20.6548 + 1.85900i 0.739561 + 0.0665629i
\(781\) 28.1887i 1.00867i
\(782\) 7.21028 + 47.5541i 0.257839 + 1.70053i
\(783\) −1.11684 + 8.89206i −0.0399127 + 0.317776i
\(784\) 9.66157 + 26.2803i 0.345056 + 0.938582i
\(785\) −7.19575 + 12.4634i −0.256827 + 0.444838i
\(786\) −15.5381 3.80636i −0.554226 0.135768i
\(787\) −25.5276 14.7384i −0.909960 0.525366i −0.0295417 0.999564i \(-0.509405\pi\)
−0.880418 + 0.474198i \(0.842738\pi\)
\(788\) 3.06554 3.31551i 0.109205 0.118110i
\(789\) −3.84796 28.7865i −0.136991 1.02483i
\(790\) 1.12308 0.170285i 0.0399574 0.00605845i
\(791\) −3.55929 4.58047i −0.126554 0.162863i
\(792\) −19.7296 + 17.2066i −0.701059 + 0.611410i
\(793\) −26.3470 + 45.6344i −0.935611 + 1.62053i
\(794\) 1.72996 + 2.16540i 0.0613939 + 0.0768471i
\(795\) 13.5693 10.4549i 0.481253 0.370798i
\(796\) −2.13701 + 9.43914i −0.0757445 + 0.334562i
\(797\) −42.3890 + 24.4733i −1.50150 + 0.866889i −0.501497 + 0.865160i \(0.667217\pi\)
−0.999999 + 0.00172895i \(0.999450\pi\)
\(798\) 19.3993 26.7840i 0.686728 0.948143i
\(799\) −2.45080 + 4.24491i −0.0867031 + 0.150174i
\(800\) 5.83545 19.2168i 0.206314 0.679416i
\(801\) 10.7964 40.9422i 0.381473 1.44662i
\(802\) 0.449927 + 0.176128i 0.0158875 + 0.00621931i
\(803\) 36.9704 21.3449i 1.30466 0.753245i
\(804\) −9.11438 + 4.22245i −0.321439 + 0.148914i
\(805\) 3.74252 + 27.1474i 0.131907 + 0.956821i
\(806\) 3.85253 9.84144i 0.135699 0.346650i
\(807\) −20.6585 26.8123i −0.727214 0.943839i
\(808\) 31.3457 15.1970i 1.10274 0.534628i
\(809\) −5.37172 9.30409i −0.188860 0.327114i 0.756011 0.654559i \(-0.227146\pi\)
−0.944870 + 0.327445i \(0.893812\pi\)
\(810\) −2.41759 15.1332i −0.0849454 0.531727i
\(811\) 52.5237i 1.84436i −0.386764 0.922179i \(-0.626407\pi\)
0.386764 0.922179i \(-0.373593\pi\)
\(812\) −3.87034 8.26506i −0.135822 0.290047i
\(813\) −2.37900 0.979888i −0.0834353 0.0343662i
\(814\) 11.8552 9.47126i 0.415526 0.331968i
\(815\) −6.77176 + 11.7290i −0.237204 + 0.410850i
\(816\) 18.3638 + 20.3233i 0.642861 + 0.711459i
\(817\) 24.8840 + 43.1003i 0.870579 + 1.50789i
\(818\) 38.5324 30.7839i 1.34725 1.07633i
\(819\) 23.7081 31.5495i 0.828429 1.10243i
\(820\) −18.1019 4.09825i −0.632145 0.143117i
\(821\) −38.8307 + 22.4189i −1.35520 + 0.782425i −0.988972 0.148100i \(-0.952684\pi\)
−0.366228 + 0.930525i \(0.619351\pi\)
\(822\) 3.27617 13.3738i 0.114270 0.466466i
\(823\) 4.32564 7.49224i 0.150782 0.261163i −0.780733 0.624865i \(-0.785154\pi\)
0.931515 + 0.363702i \(0.118487\pi\)
\(824\) −8.81346 18.1789i −0.307031 0.633290i
\(825\) 18.8042 2.51360i 0.654679 0.0875123i
\(826\) −24.4501 23.2258i −0.850727 0.808130i
\(827\) 40.6593i 1.41386i −0.707283 0.706931i \(-0.750079\pi\)
0.707283 0.706931i \(-0.249921\pi\)
\(828\) 45.7706 + 23.8563i 1.59064 + 0.829065i
\(829\) −3.95074 + 2.28096i −0.137215 + 0.0792211i −0.567036 0.823693i \(-0.691910\pi\)
0.429821 + 0.902914i \(0.358577\pi\)
\(830\) −2.56892 + 2.05233i −0.0891685 + 0.0712375i
\(831\) −4.36701 + 0.583748i −0.151490 + 0.0202500i
\(832\) −5.72137 + 39.3629i −0.198353 + 1.36466i
\(833\) 19.8062 + 19.3290i 0.686244 + 0.669711i
\(834\) 1.35301 + 4.64639i 0.0468510 + 0.160891i
\(835\) 8.48230 4.89726i 0.293542 0.169477i
\(836\) −30.0723 + 9.33386i −1.04007 + 0.322818i
\(837\) −7.74908 0.973284i −0.267848 0.0336416i
\(838\) −6.55888 + 0.994475i −0.226573 + 0.0343536i
\(839\) −20.8129 + 36.0490i −0.718542 + 1.24455i 0.243036 + 0.970017i \(0.421857\pi\)
−0.961578 + 0.274534i \(0.911477\pi\)
\(840\) 10.3059 + 11.7194i 0.355588 + 0.404359i
\(841\) −13.0127 22.5386i −0.448713 0.777193i
\(842\) −22.1278 27.6975i −0.762573 0.954519i
\(843\) −2.98079 1.22776i −0.102664 0.0422862i
\(844\) 38.0769 + 8.62057i 1.31066 + 0.296732i
\(845\) 12.2224 + 7.05659i 0.420462 + 0.242754i
\(846\) 2.12678 + 4.81089i 0.0731202 + 0.165402i
\(847\) −3.88332 + 0.535351i −0.133432 + 0.0183949i
\(848\) 18.6032 + 27.0813i 0.638836 + 0.929975i
\(849\) 0.643570 1.56248i 0.0220873 0.0536242i
\(850\) −2.97570 19.6257i −0.102066 0.673157i
\(851\) −25.9094 14.9588i −0.888163 0.512781i
\(852\) 18.2188 25.8814i 0.624164 0.886682i
\(853\) 18.5560 + 10.7133i 0.635345 + 0.366816i 0.782819 0.622249i \(-0.213781\pi\)
−0.147474 + 0.989066i \(0.547114\pi\)
\(854\) −38.0270 + 11.2431i −1.30126 + 0.384732i
\(855\) 4.70009 17.8237i 0.160740 0.609556i
\(856\) 1.63125 22.5638i 0.0557549 0.771214i
\(857\) 17.7079 0.604889 0.302445 0.953167i \(-0.402197\pi\)
0.302445 + 0.953167i \(0.402197\pi\)
\(858\) −36.0761 + 10.5052i −1.23162 + 0.358643i
\(859\) 13.5957i 0.463879i −0.972730 0.231940i \(-0.925493\pi\)
0.972730 0.231940i \(-0.0745072\pi\)
\(860\) −22.4298 + 6.96179i −0.764851 + 0.237395i
\(861\) −24.7719 + 25.1755i −0.844224 + 0.857979i
\(862\) 6.46750 + 42.6552i 0.220284 + 1.45284i
\(863\) −18.5377 + 32.1083i −0.631032 + 1.09298i 0.356310 + 0.934368i \(0.384035\pi\)
−0.987341 + 0.158611i \(0.949298\pi\)
\(864\) 29.2356 3.04672i 0.994614 0.103651i
\(865\) −6.03327 10.4499i −0.205137 0.355308i
\(866\) −29.3980 11.5081i −0.998985 0.391062i
\(867\) −2.19322 0.903366i −0.0744857 0.0306799i
\(868\) 7.20268 3.37285i 0.244475 0.114482i
\(869\) −1.78237 + 1.02905i −0.0604627 + 0.0349082i
\(870\) −3.67359 3.51850i −0.124546 0.119288i
\(871\) −14.4176 −0.488522
\(872\) 18.9647 + 12.8569i 0.642225 + 0.435391i
\(873\) 5.07768 19.2556i 0.171853 0.651702i
\(874\) 38.7499 + 48.5035i 1.31074 + 1.64066i
\(875\) −3.71982 26.9827i −0.125753 0.912183i
\(876\) −47.7399 4.29675i −1.61298 0.145174i
\(877\) 39.5791i 1.33649i 0.743941 + 0.668245i \(0.232954\pi\)
−0.743941 + 0.668245i \(0.767046\pi\)
\(878\) −1.76902 11.6673i −0.0597017 0.393752i
\(879\) −4.92710 6.39480i −0.166187 0.215691i
\(880\) −1.16237 14.8134i −0.0391835 0.499359i
\(881\) 14.4866 0.488066 0.244033 0.969767i \(-0.421530\pi\)
0.244033 + 0.969767i \(0.421530\pi\)
\(882\) 29.2871 4.92602i 0.986148 0.165868i
\(883\) 1.55845i 0.0524460i 0.999656 + 0.0262230i \(0.00834800\pi\)
−0.999656 + 0.0262230i \(0.991652\pi\)
\(884\) 11.6540 + 37.5475i 0.391967 + 1.26286i
\(885\) −17.3797 7.15851i −0.584211 0.240631i
\(886\) 0.569386 0.0863318i 0.0191289 0.00290037i
\(887\) −23.6692 −0.794735 −0.397367 0.917660i \(-0.630076\pi\)
−0.397367 + 0.917660i \(0.630076\pi\)
\(888\) −17.0063 + 1.03381i −0.570694 + 0.0346924i
\(889\) 47.3858 6.53257i 1.58927 0.219095i
\(890\) 15.0008 + 18.7766i 0.502829 + 0.629395i
\(891\) 14.0738 + 23.9357i 0.471490 + 0.801875i
\(892\) −32.4020 + 10.0569i −1.08490 + 0.336731i
\(893\) 6.32672i 0.211716i
\(894\) 52.7186 + 12.9144i 1.76318 + 0.431923i
\(895\) 3.08422 + 5.34203i 0.103094 + 0.178564i
\(896\) −23.5230 + 18.5114i −0.785847 + 0.618421i
\(897\) 45.2154 + 58.6844i 1.50970 + 1.95941i
\(898\) 38.1106 + 14.9188i 1.27177 + 0.497845i
\(899\) −2.24500 + 1.29615i −0.0748751 + 0.0432291i
\(900\) −18.8897 9.84559i −0.629655 0.328186i
\(901\) 28.1231 + 16.2369i 0.936918 + 0.540930i
\(902\) 33.2478 5.04112i 1.10703 0.167851i
\(903\) −11.2180 + 43.2614i −0.373311 + 1.43965i
\(904\) 3.47983 5.13293i 0.115737 0.170719i
\(905\) 0.270035 0.00897628
\(906\) 9.37494 38.2699i 0.311462 1.27143i
\(907\) 3.57895i 0.118837i 0.998233 + 0.0594186i \(0.0189247\pi\)
−0.998233 + 0.0594186i \(0.981075\pi\)
\(908\) 26.6824 28.8581i 0.885486 0.957690i
\(909\) −9.70455 35.6512i −0.321880 1.18248i
\(910\) 6.35103 + 21.4807i 0.210535 + 0.712079i
\(911\) 2.01295 3.48653i 0.0666920 0.115514i −0.830751 0.556644i \(-0.812089\pi\)
0.897443 + 0.441130i \(0.145422\pi\)
\(912\) 33.6435 + 10.8663i 1.11405 + 0.359819i
\(913\) 2.97873 5.15931i 0.0985816 0.170748i
\(914\) 4.17368 + 27.5267i 0.138053 + 0.910504i
\(915\) −17.5080 + 13.4896i −0.578796 + 0.445953i
\(916\) 8.89356 9.61875i 0.293851 0.317813i
\(917\) −2.35980 17.1174i −0.0779273 0.565267i
\(918\) 24.7812 15.1638i 0.817901 0.500481i
\(919\) 12.4636 21.5876i 0.411136 0.712108i −0.583878 0.811841i \(-0.698466\pi\)
0.995014 + 0.0997330i \(0.0317989\pi\)
\(920\) −26.3615 + 12.7806i −0.869114 + 0.421363i
\(921\) 23.3404 3.11996i 0.769092 0.102806i
\(922\) 2.86843 + 3.59043i 0.0944666 + 0.118245i
\(923\) 39.3424 22.7143i 1.29497 0.747651i
\(924\) −25.1281 12.9661i −0.826655 0.426553i
\(925\) 10.6929 + 6.17355i 0.351580 + 0.202985i
\(926\) 4.74862 + 31.3187i 0.156049 + 1.02920i
\(927\) −20.6758 + 5.62813i −0.679084 + 0.184852i
\(928\) 7.12286 6.66740i 0.233819 0.218868i
\(929\) 19.3195 + 33.4623i 0.633851 + 1.09786i 0.986757 + 0.162203i \(0.0518601\pi\)
−0.352906 + 0.935659i \(0.614807\pi\)
\(930\) 3.06623 3.20139i 0.100546 0.104978i
\(931\) 34.6141 + 8.82397i 1.13443 + 0.289194i
\(932\) 14.7998 4.59359i 0.484785 0.150468i
\(933\) 23.6992 + 9.76148i 0.775878 + 0.319577i
\(934\) −18.7583 23.4799i −0.613790 0.768286i
\(935\) −7.34318 12.7188i −0.240148 0.415948i
\(936\) 39.9129 + 13.6711i 1.30459 + 0.446855i
\(937\) 4.54013 0.148320 0.0741598 0.997246i \(-0.476373\pi\)
0.0741598 + 0.997246i \(0.476373\pi\)
\(938\) −7.86637 7.47249i −0.256846 0.243985i
\(939\) −46.3871 + 35.7406i −1.51379 + 1.16635i
\(940\) −2.91188 0.659246i −0.0949749 0.0215022i
\(941\) 34.0479 + 19.6576i 1.10993 + 0.640818i 0.938811 0.344432i \(-0.111928\pi\)
0.171119 + 0.985250i \(0.445262\pi\)
\(942\) −20.2512 + 21.1439i −0.659821 + 0.688906i
\(943\) −33.1508 57.4189i −1.07954 1.86982i
\(944\) 15.5281 32.5359i 0.505398 1.05895i
\(945\) 14.2346 8.44864i 0.463050 0.274834i
\(946\) 33.2451 26.5598i 1.08089 0.863533i
\(947\) −6.18499 + 3.57091i −0.200985 + 0.116039i −0.597115 0.802156i \(-0.703686\pi\)
0.396130 + 0.918195i \(0.370353\pi\)
\(948\) 2.30157 + 0.207149i 0.0747516 + 0.00672789i
\(949\) −59.5813 34.3993i −1.93409 1.11665i
\(950\) −15.9922 20.0176i −0.518856 0.649455i
\(951\) −16.3494 21.2197i −0.530167 0.688095i
\(952\) −13.1019 + 26.5264i −0.424636 + 0.859725i
\(953\) −31.2103 −1.01100 −0.505500 0.862827i \(-0.668692\pi\)
−0.505500 + 0.862827i \(0.668692\pi\)
\(954\) 31.8728 14.0902i 1.03192 0.456188i
\(955\) 5.70953 3.29640i 0.184756 0.106669i
\(956\) 1.53140 6.76415i 0.0495290 0.218768i
\(957\) 8.52182 + 3.51005i 0.275471 + 0.113464i
\(958\) −33.5473 13.1324i −1.08386 0.424289i
\(959\) 14.7332 2.03110i 0.475758 0.0655877i
\(960\) −8.50688 + 14.3522i −0.274558 + 0.463214i
\(961\) 14.3705 + 24.8904i 0.463563 + 0.802915i
\(962\) −22.7718 8.91423i −0.734191 0.287406i
\(963\) −23.2018 6.11831i −0.747668 0.197160i
\(964\) −0.279199 0.258149i −0.00899239 0.00831442i
\(965\) −19.4464 11.2274i −0.626003 0.361423i
\(966\) −5.74555 + 55.4533i −0.184860 + 1.78418i
\(967\) −26.0960 45.1996i −0.839190 1.45352i −0.890573 0.454841i \(-0.849696\pi\)
0.0513827 0.998679i \(-0.483637\pi\)
\(968\) −1.82821 3.77090i −0.0587607 0.121201i
\(969\) 34.6361 4.62988i 1.11267 0.148733i
\(970\) 7.05506 + 8.83086i 0.226524 + 0.283542i
\(971\) −21.0064 12.1281i −0.674129 0.389208i 0.123511 0.992343i \(-0.460585\pi\)
−0.797639 + 0.603135i \(0.793918\pi\)
\(972\) 2.54813 31.0726i 0.0817314 0.996654i
\(973\) −4.12749 + 3.20730i −0.132321 + 0.102821i
\(974\) −7.07961 46.6923i −0.226845 1.49612i
\(975\) −18.6606 24.2192i −0.597616 0.775636i
\(976\) −24.0030 34.9421i −0.768319 1.11847i
\(977\) 3.86602 6.69615i 0.123685 0.214229i −0.797533 0.603275i \(-0.793862\pi\)
0.921218 + 0.389046i \(0.127195\pi\)
\(978\) −19.0580 + 19.8981i −0.609408 + 0.636271i
\(979\) −37.7103 21.7720i −1.20523 0.695837i
\(980\) −7.66804 + 15.0117i −0.244946 + 0.479532i
\(981\) 17.1157 17.2521i 0.546461 0.550816i
\(982\) 6.62271 1.00415i 0.211339 0.0320438i
\(983\) 24.2014 0.771904 0.385952 0.922519i \(-0.373873\pi\)
0.385952 + 0.922519i \(0.373873\pi\)
\(984\) −33.7846 16.8600i −1.07701 0.537479i
\(985\) 2.71848 0.0866179
\(986\) 3.51518 8.97969i 0.111946 0.285971i
\(987\) −3.98481 + 4.04974i −0.126838 + 0.128905i
\(988\) 37.2592 + 34.4501i 1.18537 + 1.09600i
\(989\) −72.6564 41.9482i −2.31034 1.33388i
\(990\) −15.6695 1.68867i −0.498010 0.0536695i
\(991\) 11.1542 + 19.3197i 0.354326 + 0.613710i 0.987002 0.160706i \(-0.0513771\pi\)
−0.632677 + 0.774416i \(0.718044\pi\)
\(992\) 5.81038 + 6.20730i 0.184480 + 0.197082i
\(993\) −36.8289 47.7996i −1.16873 1.51687i
\(994\) 33.2381 + 7.99759i 1.05425 + 0.253668i
\(995\) −5.04584 + 2.91322i −0.159964 + 0.0923552i
\(996\) −6.06946 + 2.81182i −0.192318 + 0.0890960i
\(997\) 17.6236i 0.558145i 0.960270 + 0.279073i \(0.0900270\pi\)
−0.960270 + 0.279073i \(0.909973\pi\)
\(998\) 9.87597 25.2286i 0.312618 0.798597i
\(999\) −2.25205 + 17.9303i −0.0712516 + 0.567291i
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 504.2.w.a.205.11 184
7.4 even 3 504.2.cq.a.277.71 yes 184
8.5 even 2 inner 504.2.w.a.205.52 yes 184
9.4 even 3 504.2.cq.a.373.71 yes 184
56.53 even 6 504.2.cq.a.277.72 yes 184
63.4 even 3 inner 504.2.w.a.445.52 yes 184
72.13 even 6 504.2.cq.a.373.72 yes 184
504.445 even 6 inner 504.2.w.a.445.11 yes 184
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
504.2.w.a.205.11 184 1.1 even 1 trivial
504.2.w.a.205.52 yes 184 8.5 even 2 inner
504.2.w.a.445.11 yes 184 504.445 even 6 inner
504.2.w.a.445.52 yes 184 63.4 even 3 inner
504.2.cq.a.277.71 yes 184 7.4 even 3
504.2.cq.a.277.72 yes 184 56.53 even 6
504.2.cq.a.373.71 yes 184 9.4 even 3
504.2.cq.a.373.72 yes 184 72.13 even 6