Properties

Label 322.2.i.c.239.2
Level $322$
Weight $2$
Character 322.239
Analytic conductor $2.571$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 239.2
Root \(0.988210 + 2.16388i\) of defining polynomial
Character \(\chi\) \(=\) 322.239
Dual form 322.2.i.c.225.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(2.21268 + 2.55356i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.212341 - 1.47686i) q^{5} +(-2.84247 - 1.82674i) q^{6} +(0.415415 - 0.909632i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-1.19781 + 8.33096i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(2.21268 + 2.55356i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.212341 - 1.47686i) q^{5} +(-2.84247 - 1.82674i) q^{6} +(0.415415 - 0.909632i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-1.19781 + 8.33096i) q^{9} +(0.619820 + 1.35722i) q^{10} +(1.05545 + 0.309909i) q^{11} +(3.24198 + 0.951932i) q^{12} +(1.15860 + 2.53698i) q^{13} +(-0.142315 + 0.989821i) q^{14} +(3.30142 - 3.81004i) q^{15} +(0.415415 - 0.909632i) q^{16} +(3.49530 + 2.24629i) q^{17} +(-1.19781 - 8.33096i) q^{18} +(-1.19006 + 0.764804i) q^{19} +(-0.977084 - 1.12762i) q^{20} +(3.24198 - 0.951932i) q^{21} -1.10001 q^{22} +(-4.78153 - 0.370091i) q^{23} -3.37885 q^{24} +(2.66143 - 0.781467i) q^{25} +(-1.82642 - 2.10780i) q^{26} +(-15.3966 + 9.89479i) q^{27} +(-0.142315 - 0.989821i) q^{28} +(-7.47158 - 4.80169i) q^{29} +(-2.09428 + 4.58583i) q^{30} +(3.71898 - 4.29193i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(1.54400 + 3.38090i) q^{33} +(-3.98657 - 1.17056i) q^{34} +(-1.43161 - 0.420359i) q^{35} +(3.49639 + 7.65603i) q^{36} +(1.17774 - 8.19133i) q^{37} +(0.926383 - 1.06910i) q^{38} +(-3.91473 + 8.57207i) q^{39} +(1.25519 + 0.806663i) q^{40} +(-0.816490 - 5.67881i) q^{41} +(-2.84247 + 1.82674i) q^{42} +(7.23064 + 8.34460i) q^{43} +(1.05545 - 0.309909i) q^{44} +12.5580 q^{45} +(4.69211 - 0.992013i) q^{46} -0.764916 q^{47} +(3.24198 - 0.951932i) q^{48} +(-0.654861 - 0.755750i) q^{49} +(-2.33346 + 1.49962i) q^{50} +(1.99791 + 13.8958i) q^{51} +(2.34627 + 1.50786i) q^{52} +(0.307454 - 0.673230i) q^{53} +(11.9852 - 13.8317i) q^{54} +(0.233577 - 1.62457i) q^{55} +(0.415415 + 0.909632i) q^{56} +(-4.58619 - 1.34663i) q^{57} +(8.52172 + 2.50220i) q^{58} +(-4.37255 - 9.57454i) q^{59} +(0.717467 - 4.99010i) q^{60} +(5.00517 - 5.77628i) q^{61} +(-2.35916 + 5.16584i) q^{62} +(7.08052 + 4.55037i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(3.50075 - 2.24979i) q^{65} +(-2.43397 - 2.80895i) q^{66} +(-2.44665 + 0.718401i) q^{67} +4.15487 q^{68} +(-9.63493 - 13.0288i) q^{69} +1.49205 q^{70} +(-6.38134 + 1.87373i) q^{71} +(-5.51172 - 6.36086i) q^{72} +(-2.62668 + 1.68807i) q^{73} +(1.17774 + 8.19133i) q^{74} +(7.88441 + 5.06700i) q^{75} +(-0.587657 + 1.28679i) q^{76} +(0.720355 - 0.831333i) q^{77} +(1.34113 - 9.32774i) q^{78} +(1.79853 + 3.93823i) q^{79} +(-1.43161 - 0.420359i) q^{80} +(-35.1076 - 10.3085i) q^{81} +(2.38332 + 5.21875i) q^{82} +(1.53316 - 10.6633i) q^{83} +(2.21268 - 2.55356i) q^{84} +(2.57527 - 5.63905i) q^{85} +(-9.28869 - 5.96948i) q^{86} +(-4.27075 - 29.7037i) q^{87} +(-0.925389 + 0.594711i) q^{88} +(5.18059 + 5.97872i) q^{89} +(-12.0493 + 3.53800i) q^{90} +2.78902 q^{91} +(-4.22257 + 2.27375i) q^{92} +19.1886 q^{93} +(0.733932 - 0.215502i) q^{94} +(1.38221 + 1.59515i) q^{95} +(-2.84247 + 1.82674i) q^{96} +(-0.915675 - 6.36866i) q^{97} +(0.841254 + 0.540641i) q^{98} +(-3.84607 + 8.42173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9} + 6 q^{10} + 6 q^{11} + 4 q^{12} + 14 q^{13} - 2 q^{14} + 13 q^{15} - 2 q^{16} + 7 q^{17} - 12 q^{18} - 2 q^{19} + 6 q^{20} + 4 q^{21} - 16 q^{22} + 9 q^{23} - 18 q^{24} + 23 q^{25} + 3 q^{26} - 47 q^{27} - 2 q^{28} + 2 q^{29} - 20 q^{30} + 28 q^{31} - 2 q^{32} + 26 q^{33} + 18 q^{34} - 5 q^{35} + 10 q^{36} - 17 q^{37} + 9 q^{38} + 36 q^{39} - 5 q^{40} - 7 q^{41} + 4 q^{42} - 17 q^{43} + 6 q^{44} + 90 q^{45} + 9 q^{46} - 68 q^{47} + 4 q^{48} - 2 q^{49} - 43 q^{50} - 15 q^{51} + 14 q^{52} - 35 q^{53} + 19 q^{54} + 8 q^{55} - 2 q^{56} - 20 q^{57} + 24 q^{58} - 60 q^{59} + 13 q^{60} - 48 q^{61} - 5 q^{62} + 10 q^{63} - 2 q^{64} + 40 q^{65} - 29 q^{66} - 57 q^{67} + 18 q^{68} + 4 q^{69} + 6 q^{70} - 39 q^{71} - q^{72} - 30 q^{73} - 17 q^{74} + 57 q^{75} - 2 q^{76} + 6 q^{77} - 19 q^{78} - 18 q^{79} - 5 q^{80} - 90 q^{81} + 26 q^{82} + 28 q^{83} + 4 q^{84} - 13 q^{85} - 6 q^{86} + 13 q^{87} + 6 q^{88} + 34 q^{89} - 20 q^{90} - 30 q^{91} - 2 q^{92} - 16 q^{93} + 9 q^{94} + 110 q^{95} + 4 q^{96} - 2 q^{98} - 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) 2.21268 + 2.55356i 1.27749 + 1.47430i 0.805377 + 0.592762i \(0.201963\pi\)
0.472112 + 0.881539i \(0.343492\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.212341 1.47686i −0.0949616 0.660473i −0.980589 0.196076i \(-0.937180\pi\)
0.885627 0.464397i \(-0.153729\pi\)
\(6\) −2.84247 1.82674i −1.16043 0.745765i
\(7\) 0.415415 0.909632i 0.157012 0.343809i
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) −1.19781 + 8.33096i −0.399270 + 2.77699i
\(10\) 0.619820 + 1.35722i 0.196004 + 0.429189i
\(11\) 1.05545 + 0.309909i 0.318231 + 0.0934411i 0.436947 0.899487i \(-0.356060\pi\)
−0.118716 + 0.992928i \(0.537878\pi\)
\(12\) 3.24198 + 0.951932i 0.935880 + 0.274799i
\(13\) 1.15860 + 2.53698i 0.321337 + 0.703631i 0.999511 0.0312709i \(-0.00995547\pi\)
−0.678173 + 0.734902i \(0.737228\pi\)
\(14\) −0.142315 + 0.989821i −0.0380352 + 0.264541i
\(15\) 3.30142 3.81004i 0.852423 0.983749i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 3.49530 + 2.24629i 0.847734 + 0.544806i 0.890867 0.454264i \(-0.150098\pi\)
−0.0431330 + 0.999069i \(0.513734\pi\)
\(18\) −1.19781 8.33096i −0.282327 1.96363i
\(19\) −1.19006 + 0.764804i −0.273018 + 0.175458i −0.669985 0.742375i \(-0.733699\pi\)
0.396966 + 0.917833i \(0.370063\pi\)
\(20\) −0.977084 1.12762i −0.218483 0.252142i
\(21\) 3.24198 0.951932i 0.707459 0.207729i
\(22\) −1.10001 −0.234523
\(23\) −4.78153 0.370091i −0.997018 0.0771693i
\(24\) −3.37885 −0.689705
\(25\) 2.66143 0.781467i 0.532286 0.156293i
\(26\) −1.82642 2.10780i −0.358190 0.413373i
\(27\) −15.3966 + 9.89479i −2.96308 + 1.90425i
\(28\) −0.142315 0.989821i −0.0268950 0.187059i
\(29\) −7.47158 4.80169i −1.38744 0.891652i −0.387889 0.921706i \(-0.626796\pi\)
−0.999548 + 0.0300543i \(0.990432\pi\)
\(30\) −2.09428 + 4.58583i −0.382361 + 0.837254i
\(31\) 3.71898 4.29193i 0.667948 0.770854i −0.316105 0.948724i \(-0.602375\pi\)
0.984054 + 0.177870i \(0.0569208\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) 1.54400 + 3.38090i 0.268777 + 0.588539i
\(34\) −3.98657 1.17056i −0.683691 0.200750i
\(35\) −1.43161 0.420359i −0.241986 0.0710536i
\(36\) 3.49639 + 7.65603i 0.582732 + 1.27601i
\(37\) 1.17774 8.19133i 0.193619 1.34665i −0.628713 0.777638i \(-0.716418\pi\)
0.822331 0.569009i \(-0.192673\pi\)
\(38\) 0.926383 1.06910i 0.150279 0.173431i
\(39\) −3.91473 + 8.57207i −0.626859 + 1.37263i
\(40\) 1.25519 + 0.806663i 0.198463 + 0.127545i
\(41\) −0.816490 5.67881i −0.127514 0.886881i −0.948690 0.316207i \(-0.897591\pi\)
0.821176 0.570675i \(-0.193318\pi\)
\(42\) −2.84247 + 1.82674i −0.438603 + 0.281873i
\(43\) 7.23064 + 8.34460i 1.10266 + 1.27254i 0.959152 + 0.282891i \(0.0912934\pi\)
0.143510 + 0.989649i \(0.454161\pi\)
\(44\) 1.05545 0.309909i 0.159116 0.0467206i
\(45\) 12.5580 1.87204
\(46\) 4.69211 0.992013i 0.691814 0.146264i
\(47\) −0.764916 −0.111575 −0.0557873 0.998443i \(-0.517767\pi\)
−0.0557873 + 0.998443i \(0.517767\pi\)
\(48\) 3.24198 0.951932i 0.467940 0.137400i
\(49\) −0.654861 0.755750i −0.0935515 0.107964i
\(50\) −2.33346 + 1.49962i −0.330001 + 0.212079i
\(51\) 1.99791 + 13.8958i 0.279764 + 1.94580i
\(52\) 2.34627 + 1.50786i 0.325369 + 0.209102i
\(53\) 0.307454 0.673230i 0.0422320 0.0924752i −0.887340 0.461116i \(-0.847449\pi\)
0.929572 + 0.368640i \(0.120177\pi\)
\(54\) 11.9852 13.8317i 1.63098 1.88226i
\(55\) 0.233577 1.62457i 0.0314956 0.219056i
\(56\) 0.415415 + 0.909632i 0.0555122 + 0.121555i
\(57\) −4.58619 1.34663i −0.607456 0.178365i
\(58\) 8.52172 + 2.50220i 1.11896 + 0.328555i
\(59\) −4.37255 9.57454i −0.569257 1.24650i −0.947192 0.320667i \(-0.896093\pi\)
0.377935 0.925832i \(-0.376634\pi\)
\(60\) 0.717467 4.99010i 0.0926246 0.644219i
\(61\) 5.00517 5.77628i 0.640847 0.739576i −0.338678 0.940902i \(-0.609980\pi\)
0.979524 + 0.201326i \(0.0645251\pi\)
\(62\) −2.35916 + 5.16584i −0.299613 + 0.656062i
\(63\) 7.08052 + 4.55037i 0.892061 + 0.573293i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) 3.50075 2.24979i 0.434214 0.279053i
\(66\) −2.43397 2.80895i −0.299601 0.345758i
\(67\) −2.44665 + 0.718401i −0.298906 + 0.0877667i −0.427747 0.903899i \(-0.640693\pi\)
0.128841 + 0.991665i \(0.458874\pi\)
\(68\) 4.15487 0.503852
\(69\) −9.63493 13.0288i −1.15991 1.56849i
\(70\) 1.49205 0.178334
\(71\) −6.38134 + 1.87373i −0.757326 + 0.222371i −0.637528 0.770427i \(-0.720043\pi\)
−0.119798 + 0.992798i \(0.538225\pi\)
\(72\) −5.51172 6.36086i −0.649562 0.749635i
\(73\) −2.62668 + 1.68807i −0.307430 + 0.197573i −0.685254 0.728304i \(-0.740309\pi\)
0.377824 + 0.925877i \(0.376672\pi\)
\(74\) 1.17774 + 8.19133i 0.136909 + 0.952223i
\(75\) 7.88441 + 5.06700i 0.910414 + 0.585087i
\(76\) −0.587657 + 1.28679i −0.0674089 + 0.147605i
\(77\) 0.720355 0.831333i 0.0820920 0.0947392i
\(78\) 1.34113 9.32774i 0.151853 1.05616i
\(79\) 1.79853 + 3.93823i 0.202350 + 0.443085i 0.983416 0.181363i \(-0.0580510\pi\)
−0.781066 + 0.624449i \(0.785324\pi\)
\(80\) −1.43161 0.420359i −0.160059 0.0469975i
\(81\) −35.1076 10.3085i −3.90084 1.14539i
\(82\) 2.38332 + 5.21875i 0.263194 + 0.576314i
\(83\) 1.53316 10.6633i 0.168286 1.17045i −0.714140 0.700003i \(-0.753182\pi\)
0.882426 0.470451i \(-0.155909\pi\)
\(84\) 2.21268 2.55356i 0.241423 0.278617i
\(85\) 2.57527 5.63905i 0.279327 0.611641i
\(86\) −9.28869 5.96948i −1.00163 0.643706i
\(87\) −4.27075 29.7037i −0.457873 3.18458i
\(88\) −0.925389 + 0.594711i −0.0986468 + 0.0633964i
\(89\) 5.18059 + 5.97872i 0.549141 + 0.633743i 0.960683 0.277648i \(-0.0895550\pi\)
−0.411542 + 0.911391i \(0.635010\pi\)
\(90\) −12.0493 + 3.53800i −1.27011 + 0.372938i
\(91\) 2.78902 0.292368
\(92\) −4.22257 + 2.27375i −0.440233 + 0.237055i
\(93\) 19.1886 1.98977
\(94\) 0.733932 0.215502i 0.0756993 0.0222273i
\(95\) 1.38221 + 1.59515i 0.141812 + 0.163659i
\(96\) −2.84247 + 1.82674i −0.290108 + 0.186441i
\(97\) −0.915675 6.36866i −0.0929727 0.646640i −0.982013 0.188811i \(-0.939537\pi\)
0.889041 0.457828i \(-0.151373\pi\)
\(98\) 0.841254 + 0.540641i 0.0849794 + 0.0546130i
\(99\) −3.84607 + 8.42173i −0.386545 + 0.846415i
\(100\) 1.81645 2.09629i 0.181645 0.209629i
\(101\) −1.50296 + 10.4533i −0.149550 + 1.04015i 0.767407 + 0.641160i \(0.221547\pi\)
−0.916957 + 0.398985i \(0.869363\pi\)
\(102\) −5.83188 12.7700i −0.577442 1.26442i
\(103\) −11.4094 3.35012i −1.12421 0.330097i −0.333778 0.942652i \(-0.608324\pi\)
−0.790428 + 0.612555i \(0.790142\pi\)
\(104\) −2.67604 0.785756i −0.262407 0.0770497i
\(105\) −2.09428 4.58583i −0.204381 0.447531i
\(106\) −0.105329 + 0.732579i −0.0102305 + 0.0711544i
\(107\) 5.27302 6.08539i 0.509762 0.588297i −0.441276 0.897372i \(-0.645474\pi\)
0.951038 + 0.309075i \(0.100019\pi\)
\(108\) −7.60291 + 16.6481i −0.731591 + 1.60196i
\(109\) 10.6880 + 6.86875i 1.02372 + 0.657907i 0.940909 0.338658i \(-0.109973\pi\)
0.0828134 + 0.996565i \(0.473609\pi\)
\(110\) 0.233577 + 1.62457i 0.0222707 + 0.154896i
\(111\) 23.5230 15.1173i 2.23271 1.43487i
\(112\) −0.654861 0.755750i −0.0618785 0.0714116i
\(113\) 16.5971 4.87336i 1.56133 0.458447i 0.616865 0.787069i \(-0.288402\pi\)
0.944462 + 0.328622i \(0.106584\pi\)
\(114\) 4.77981 0.447670
\(115\) 0.468740 + 7.14025i 0.0437103 + 0.665831i
\(116\) −8.88148 −0.824625
\(117\) −22.5232 + 6.61342i −2.08227 + 0.611411i
\(118\) 6.89289 + 7.95482i 0.634542 + 0.732300i
\(119\) 3.49530 2.24629i 0.320413 0.205917i
\(120\) 0.717467 + 4.99010i 0.0654955 + 0.455531i
\(121\) −8.23585 5.29286i −0.748714 0.481169i
\(122\) −3.17506 + 6.95242i −0.287457 + 0.629442i
\(123\) 12.6946 14.6503i 1.14463 1.32098i
\(124\) 0.808212 5.62123i 0.0725795 0.504802i
\(125\) −4.81835 10.5507i −0.430966 0.943684i
\(126\) −8.07569 2.37124i −0.719440 0.211247i
\(127\) 6.25714 + 1.83726i 0.555232 + 0.163031i 0.547298 0.836938i \(-0.315656\pi\)
0.00793372 + 0.999969i \(0.497475\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −5.30942 + 36.9278i −0.467468 + 3.25131i
\(130\) −2.72510 + 3.14494i −0.239007 + 0.275829i
\(131\) −4.90645 + 10.7436i −0.428678 + 0.938674i 0.564861 + 0.825186i \(0.308930\pi\)
−0.993539 + 0.113488i \(0.963798\pi\)
\(132\) 3.12675 + 2.00944i 0.272149 + 0.174899i
\(133\) 0.201322 + 1.40023i 0.0174569 + 0.121415i
\(134\) 2.14515 1.37860i 0.185312 0.119093i
\(135\) 17.8826 + 20.6376i 1.53909 + 1.77620i
\(136\) −3.98657 + 1.17056i −0.341845 + 0.100375i
\(137\) −18.3082 −1.56418 −0.782090 0.623166i \(-0.785846\pi\)
−0.782090 + 0.623166i \(0.785846\pi\)
\(138\) 12.9153 + 9.78660i 1.09942 + 0.833091i
\(139\) −7.13208 −0.604935 −0.302467 0.953160i \(-0.597810\pi\)
−0.302467 + 0.953160i \(0.597810\pi\)
\(140\) −1.43161 + 0.420359i −0.120993 + 0.0355268i
\(141\) −1.69251 1.95326i −0.142535 0.164494i
\(142\) 5.59496 3.59566i 0.469519 0.301741i
\(143\) 0.436615 + 3.03672i 0.0365116 + 0.253943i
\(144\) 7.08052 + 4.55037i 0.590043 + 0.379198i
\(145\) −5.50492 + 12.0541i −0.457158 + 1.00104i
\(146\) 2.04470 2.35971i 0.169221 0.195291i
\(147\) 0.480860 3.34446i 0.0396607 0.275846i
\(148\) −3.43779 7.52772i −0.282585 0.618775i
\(149\) 0.657972 + 0.193198i 0.0539032 + 0.0158274i 0.308573 0.951201i \(-0.400149\pi\)
−0.254670 + 0.967028i \(0.581967\pi\)
\(150\) −8.99258 2.64046i −0.734241 0.215593i
\(151\) 6.57269 + 14.3922i 0.534878 + 1.17122i 0.963493 + 0.267733i \(0.0862744\pi\)
−0.428615 + 0.903487i \(0.640998\pi\)
\(152\) 0.201322 1.40023i 0.0163294 0.113573i
\(153\) −22.9005 + 26.4285i −1.85139 + 2.13662i
\(154\) −0.456961 + 1.00061i −0.0368230 + 0.0806311i
\(155\) −7.12828 4.58107i −0.572557 0.367960i
\(156\) 1.34113 + 9.32774i 0.107376 + 0.746817i
\(157\) 12.9323 8.31107i 1.03211 0.663296i 0.0890855 0.996024i \(-0.471606\pi\)
0.943023 + 0.332728i \(0.107969\pi\)
\(158\) −2.83520 3.27200i −0.225556 0.260306i
\(159\) 2.39943 0.704537i 0.190287 0.0558734i
\(160\) 1.49205 0.117957
\(161\) −2.32297 + 4.19569i −0.183075 + 0.330667i
\(162\) 36.5897 2.87476
\(163\) 14.0589 4.12807i 1.10118 0.323336i 0.319859 0.947465i \(-0.396364\pi\)
0.781321 + 0.624129i \(0.214546\pi\)
\(164\) −3.75707 4.33589i −0.293378 0.338576i
\(165\) 4.66526 2.99818i 0.363190 0.233408i
\(166\) 1.53316 + 10.6633i 0.118996 + 0.827636i
\(167\) 4.49165 + 2.88661i 0.347574 + 0.223372i 0.702766 0.711421i \(-0.251948\pi\)
−0.355192 + 0.934793i \(0.615584\pi\)
\(168\) −1.40362 + 3.07351i −0.108292 + 0.237126i
\(169\) 3.41929 3.94607i 0.263022 0.303544i
\(170\) −0.882248 + 6.13617i −0.0676653 + 0.470623i
\(171\) −4.94609 10.8304i −0.378237 0.828223i
\(172\) 10.5942 + 3.11075i 0.807803 + 0.237192i
\(173\) −8.67612 2.54754i −0.659633 0.193686i −0.0652515 0.997869i \(-0.520785\pi\)
−0.594382 + 0.804183i \(0.702603\pi\)
\(174\) 12.4663 + 27.2973i 0.945066 + 2.06940i
\(175\) 0.394751 2.74556i 0.0298404 0.207545i
\(176\) 0.720355 0.831333i 0.0542988 0.0626641i
\(177\) 14.7742 32.3509i 1.11050 2.43165i
\(178\) −6.65513 4.27700i −0.498823 0.320574i
\(179\) 2.32587 + 16.1768i 0.173844 + 1.20911i 0.870670 + 0.491868i \(0.163686\pi\)
−0.696826 + 0.717240i \(0.745405\pi\)
\(180\) 10.5645 6.78938i 0.787430 0.506050i
\(181\) −16.6960 19.2682i −1.24100 1.43219i −0.862087 0.506761i \(-0.830843\pi\)
−0.378915 0.925431i \(-0.623703\pi\)
\(182\) −2.67604 + 0.785756i −0.198361 + 0.0582441i
\(183\) 25.8249 1.90903
\(184\) 3.41093 3.37128i 0.251457 0.248534i
\(185\) −12.3475 −0.907810
\(186\) −18.4113 + 5.40606i −1.34999 + 0.396391i
\(187\) 2.99298 + 3.45408i 0.218868 + 0.252587i
\(188\) −0.643489 + 0.413545i −0.0469312 + 0.0301609i
\(189\) 2.60464 + 18.1157i 0.189460 + 1.31772i
\(190\) −1.77563 1.14113i −0.128817 0.0827860i
\(191\) −6.36188 + 13.9306i −0.460329 + 1.00798i 0.527083 + 0.849814i \(0.323286\pi\)
−0.987412 + 0.158167i \(0.949442\pi\)
\(192\) 2.21268 2.55356i 0.159686 0.184288i
\(193\) −2.20537 + 15.3387i −0.158746 + 1.10410i 0.742201 + 0.670177i \(0.233782\pi\)
−0.900948 + 0.433928i \(0.857127\pi\)
\(194\) 2.67284 + 5.85271i 0.191899 + 0.420200i
\(195\) 13.4910 + 3.96132i 0.966112 + 0.283676i
\(196\) −0.959493 0.281733i −0.0685352 0.0201238i
\(197\) −0.595792 1.30460i −0.0424484 0.0929491i 0.887220 0.461347i \(-0.152634\pi\)
−0.929668 + 0.368398i \(0.879906\pi\)
\(198\) 1.31761 9.16415i 0.0936382 0.651268i
\(199\) −12.1950 + 14.0737i −0.864479 + 0.997661i 0.135498 + 0.990778i \(0.456737\pi\)
−0.999976 + 0.00688374i \(0.997809\pi\)
\(200\) −1.15227 + 2.52313i −0.0814781 + 0.178412i
\(201\) −7.24813 4.65809i −0.511243 0.328556i
\(202\) −1.50296 10.4533i −0.105748 0.735494i
\(203\) −7.47158 + 4.80169i −0.524402 + 0.337013i
\(204\) 9.19338 + 10.6097i 0.643665 + 0.742829i
\(205\) −8.21345 + 2.41169i −0.573652 + 0.168439i
\(206\) 11.8911 0.828493
\(207\) 8.81058 39.3914i 0.612378 2.73789i
\(208\) 2.78902 0.193383
\(209\) −1.49307 + 0.438405i −0.103278 + 0.0303251i
\(210\) 3.30142 + 3.81004i 0.227820 + 0.262918i
\(211\) −13.7004 + 8.80469i −0.943172 + 0.606140i −0.919293 0.393575i \(-0.871238\pi\)
−0.0238795 + 0.999715i \(0.507602\pi\)
\(212\) −0.105329 0.732579i −0.00723402 0.0503137i
\(213\) −18.9045 12.1492i −1.29532 0.832450i
\(214\) −3.34497 + 7.32447i −0.228658 + 0.500690i
\(215\) 10.7885 12.4506i 0.735767 0.849121i
\(216\) 2.60464 18.1157i 0.177223 1.23262i
\(217\) −2.35916 5.16584i −0.160150 0.350680i
\(218\) −12.1902 3.57936i −0.825624 0.242425i
\(219\) −10.1226 2.97226i −0.684021 0.200847i
\(220\) −0.681809 1.49295i −0.0459675 0.100655i
\(221\) −1.64914 + 11.4700i −0.110933 + 0.771559i
\(222\) −18.3111 + 21.1322i −1.22896 + 1.41830i
\(223\) −3.88003 + 8.49607i −0.259826 + 0.568939i −0.993920 0.110109i \(-0.964880\pi\)
0.734094 + 0.679048i \(0.237607\pi\)
\(224\) 0.841254 + 0.540641i 0.0562086 + 0.0361231i
\(225\) 3.32248 + 23.1083i 0.221498 + 1.54056i
\(226\) −14.5518 + 9.35191i −0.967975 + 0.622079i
\(227\) −7.43420 8.57953i −0.493425 0.569443i 0.453352 0.891331i \(-0.350228\pi\)
−0.946778 + 0.321888i \(0.895683\pi\)
\(228\) −4.58619 + 1.34663i −0.303728 + 0.0891826i
\(229\) −9.51259 −0.628609 −0.314305 0.949322i \(-0.601771\pi\)
−0.314305 + 0.949322i \(0.601771\pi\)
\(230\) −2.46139 6.71896i −0.162299 0.443035i
\(231\) 3.71677 0.244546
\(232\) 8.52172 2.50220i 0.559478 0.164278i
\(233\) −6.07878 7.01528i −0.398234 0.459586i 0.520850 0.853648i \(-0.325615\pi\)
−0.919084 + 0.394062i \(0.871070\pi\)
\(234\) 19.7477 12.6911i 1.29095 0.829640i
\(235\) 0.162423 + 1.12968i 0.0105953 + 0.0736919i
\(236\) −8.85481 5.69064i −0.576399 0.370429i
\(237\) −6.07696 + 13.3067i −0.394741 + 0.864361i
\(238\) −2.72086 + 3.14004i −0.176367 + 0.203539i
\(239\) 0.839416 5.83827i 0.0542973 0.377646i −0.944495 0.328524i \(-0.893449\pi\)
0.998793 0.0491217i \(-0.0156422\pi\)
\(240\) −2.09428 4.58583i −0.135185 0.296014i
\(241\) −11.1659 3.27860i −0.719258 0.211193i −0.0984343 0.995144i \(-0.531383\pi\)
−0.620823 + 0.783950i \(0.713202\pi\)
\(242\) 9.39341 + 2.75815i 0.603831 + 0.177301i
\(243\) −28.5495 62.5147i −1.83145 4.01032i
\(244\) 1.08773 7.56531i 0.0696346 0.484320i
\(245\) −0.977084 + 1.12762i −0.0624236 + 0.0720407i
\(246\) −8.05289 + 17.6334i −0.513433 + 1.12426i
\(247\) −3.31909 2.13305i −0.211189 0.135723i
\(248\) 0.808212 + 5.62123i 0.0513215 + 0.356949i
\(249\) 30.6219 19.6795i 1.94058 1.24714i
\(250\) 7.59565 + 8.76584i 0.480391 + 0.554401i
\(251\) −11.2997 + 3.31788i −0.713228 + 0.209423i −0.618165 0.786049i \(-0.712124\pi\)
−0.0950633 + 0.995471i \(0.530305\pi\)
\(252\) 8.41663 0.530198
\(253\) −4.93199 1.87245i −0.310071 0.117720i
\(254\) −6.52130 −0.409183
\(255\) 20.0979 5.90128i 1.25858 0.369553i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 6.13434 3.94230i 0.382650 0.245914i −0.335148 0.942165i \(-0.608786\pi\)
0.717798 + 0.696251i \(0.245150\pi\)
\(258\) −5.30942 36.9278i −0.330550 2.29902i
\(259\) −6.96185 4.47411i −0.432588 0.278008i
\(260\) 1.72869 3.78529i 0.107209 0.234754i
\(261\) 48.9522 56.4939i 3.03007 3.49688i
\(262\) 1.68087 11.6907i 0.103845 0.722256i
\(263\) 11.1061 + 24.3190i 0.684832 + 1.49957i 0.857441 + 0.514582i \(0.172053\pi\)
−0.172609 + 0.984990i \(0.555220\pi\)
\(264\) −3.56622 1.04714i −0.219486 0.0644468i
\(265\) −1.05955 0.311113i −0.0650878 0.0191115i
\(266\) −0.587657 1.28679i −0.0360316 0.0788981i
\(267\) −3.80407 + 26.4579i −0.232806 + 1.61920i
\(268\) −1.66986 + 1.92712i −0.102003 + 0.117717i
\(269\) 4.11522 9.01108i 0.250910 0.549415i −0.741705 0.670726i \(-0.765983\pi\)
0.992615 + 0.121311i \(0.0387098\pi\)
\(270\) −22.9725 14.7635i −1.39806 0.898479i
\(271\) 2.66740 + 18.5522i 0.162033 + 1.12696i 0.894795 + 0.446478i \(0.147322\pi\)
−0.732762 + 0.680485i \(0.761769\pi\)
\(272\) 3.49530 2.24629i 0.211934 0.136201i
\(273\) 6.17119 + 7.12193i 0.373497 + 0.431039i
\(274\) 17.5666 5.15803i 1.06124 0.311608i
\(275\) 3.05120 0.183994
\(276\) −15.1493 5.75152i −0.911883 0.346201i
\(277\) −15.1351 −0.909382 −0.454691 0.890649i \(-0.650250\pi\)
−0.454691 + 0.890649i \(0.650250\pi\)
\(278\) 6.84318 2.00934i 0.410427 0.120512i
\(279\) 31.3013 + 36.1236i 1.87396 + 2.16266i
\(280\) 1.25519 0.806663i 0.0750120 0.0482073i
\(281\) 1.60683 + 11.1757i 0.0958552 + 0.666687i 0.979930 + 0.199342i \(0.0638804\pi\)
−0.884075 + 0.467345i \(0.845210\pi\)
\(282\) 2.17425 + 1.39731i 0.129475 + 0.0832084i
\(283\) 3.66052 8.01542i 0.217595 0.476467i −0.769083 0.639148i \(-0.779287\pi\)
0.986679 + 0.162681i \(0.0520142\pi\)
\(284\) −4.35531 + 5.02630i −0.258440 + 0.298256i
\(285\) −1.01495 + 7.05912i −0.0601203 + 0.418146i
\(286\) −1.27447 2.79070i −0.0753611 0.165018i
\(287\) −5.50481 1.61636i −0.324939 0.0954106i
\(288\) −8.07569 2.37124i −0.475865 0.139727i
\(289\) 0.109227 + 0.239175i 0.00642514 + 0.0140691i
\(290\) 1.88590 13.1167i 0.110744 0.770241i
\(291\) 14.2367 16.4300i 0.834570 0.963145i
\(292\) −1.29707 + 2.84019i −0.0759053 + 0.166209i
\(293\) 13.6619 + 8.77999i 0.798139 + 0.512933i 0.875008 0.484109i \(-0.160856\pi\)
−0.0768693 + 0.997041i \(0.524492\pi\)
\(294\) 0.480860 + 3.34446i 0.0280444 + 0.195053i
\(295\) −13.2118 + 8.49071i −0.769221 + 0.494348i
\(296\) 5.41934 + 6.25426i 0.314993 + 0.363521i
\(297\) −19.3169 + 5.67195i −1.12088 + 0.329120i
\(298\) −0.685750 −0.0397244
\(299\) −4.60096 12.5594i −0.266081 0.726330i
\(300\) 9.37222 0.541105
\(301\) 10.5942 3.11075i 0.610641 0.179300i
\(302\) −10.3612 11.9575i −0.596220 0.688075i
\(303\) −30.0188 + 19.2919i −1.72454 + 1.10829i
\(304\) 0.201322 + 1.40023i 0.0115466 + 0.0803085i
\(305\) −9.59357 6.16541i −0.549326 0.353030i
\(306\) 14.5271 31.8098i 0.830456 1.81845i
\(307\) −18.5539 + 21.4123i −1.05892 + 1.22206i −0.0847180 + 0.996405i \(0.526999\pi\)
−0.974206 + 0.225659i \(0.927547\pi\)
\(308\) 0.156548 1.08882i 0.00892015 0.0620410i
\(309\) −16.6907 36.5475i −0.949499 2.07911i
\(310\) 8.13017 + 2.38723i 0.461763 + 0.135586i
\(311\) 13.2049 + 3.87732i 0.748783 + 0.219862i 0.633791 0.773504i \(-0.281498\pi\)
0.114991 + 0.993366i \(0.463316\pi\)
\(312\) −3.91473 8.57207i −0.221628 0.485298i
\(313\) 1.24023 8.62596i 0.0701017 0.487568i −0.924280 0.381715i \(-0.875334\pi\)
0.994382 0.105853i \(-0.0337574\pi\)
\(314\) −10.0669 + 11.6179i −0.568110 + 0.655634i
\(315\) 5.21679 11.4232i 0.293933 0.643623i
\(316\) 3.64218 + 2.34069i 0.204889 + 0.131674i
\(317\) 3.50519 + 24.3792i 0.196871 + 1.36927i 0.813293 + 0.581854i \(0.197672\pi\)
−0.616422 + 0.787416i \(0.711419\pi\)
\(318\) −2.10375 + 1.35200i −0.117972 + 0.0758162i
\(319\) −6.39782 7.38347i −0.358209 0.413395i
\(320\) −1.43161 + 0.420359i −0.0800295 + 0.0234988i
\(321\) 27.2069 1.51854
\(322\) 1.04681 4.68019i 0.0583363 0.260817i
\(323\) −5.87758 −0.327038
\(324\) −35.1076 + 10.3085i −1.95042 + 0.572695i
\(325\) 5.06610 + 5.84659i 0.281016 + 0.324310i
\(326\) −12.3264 + 7.92172i −0.682698 + 0.438743i
\(327\) 6.10925 + 42.4908i 0.337842 + 2.34974i
\(328\) 4.82645 + 3.10177i 0.266496 + 0.171267i
\(329\) −0.317758 + 0.695792i −0.0175186 + 0.0383603i
\(330\) −3.63160 + 4.19109i −0.199913 + 0.230712i
\(331\) 3.36878 23.4304i 0.185165 1.28785i −0.659154 0.752008i \(-0.729085\pi\)
0.844319 0.535841i \(-0.180006\pi\)
\(332\) −4.47526 9.79946i −0.245612 0.537815i
\(333\) 66.8309 + 19.6233i 3.66231 + 1.07535i
\(334\) −5.12296 1.50424i −0.280316 0.0823081i
\(335\) 1.58050 + 3.46082i 0.0863521 + 0.189085i
\(336\) 0.480860 3.34446i 0.0262331 0.182455i
\(337\) 15.4441 17.8234i 0.841292 0.970903i −0.158572 0.987347i \(-0.550689\pi\)
0.999865 + 0.0164442i \(0.00523458\pi\)
\(338\) −2.16905 + 4.74955i −0.117981 + 0.258341i
\(339\) 49.1685 + 31.5987i 2.67047 + 1.71620i
\(340\) −0.882248 6.13617i −0.0478466 0.332780i
\(341\) 5.25532 3.37739i 0.284591 0.182896i
\(342\) 7.79702 + 8.99824i 0.421615 + 0.486569i
\(343\) −0.959493 + 0.281733i −0.0518078 + 0.0152121i
\(344\) −11.0415 −0.595317
\(345\) −17.1959 + 16.9960i −0.925797 + 0.915034i
\(346\) 9.04240 0.486122
\(347\) 19.7797 5.80785i 1.06183 0.311782i 0.296243 0.955113i \(-0.404266\pi\)
0.765588 + 0.643331i \(0.222448\pi\)
\(348\) −19.6518 22.6794i −1.05345 1.21575i
\(349\) 1.61881 1.04035i 0.0866529 0.0556884i −0.496597 0.867981i \(-0.665417\pi\)
0.583250 + 0.812293i \(0.301781\pi\)
\(350\) 0.394751 + 2.74556i 0.0211004 + 0.146756i
\(351\) −42.9413 27.5967i −2.29204 1.47300i
\(352\) −0.456961 + 1.00061i −0.0243561 + 0.0533325i
\(353\) −14.3637 + 16.5766i −0.764502 + 0.882282i −0.995889 0.0905793i \(-0.971128\pi\)
0.231387 + 0.972862i \(0.425674\pi\)
\(354\) −5.06141 + 35.2029i −0.269011 + 1.87101i
\(355\) 4.12226 + 9.02649i 0.218787 + 0.479076i
\(356\) 7.59052 + 2.22878i 0.402297 + 0.118125i
\(357\) 13.4700 + 3.95515i 0.712909 + 0.209329i
\(358\) −6.78918 14.8662i −0.358819 0.785704i
\(359\) −4.89683 + 34.0582i −0.258445 + 1.79752i 0.285477 + 0.958385i \(0.407848\pi\)
−0.543922 + 0.839136i \(0.683061\pi\)
\(360\) −8.22375 + 9.49072i −0.433430 + 0.500205i
\(361\) −7.06157 + 15.4627i −0.371662 + 0.813825i
\(362\) 21.4481 + 13.7839i 1.12729 + 0.724465i
\(363\) −4.70761 32.7422i −0.247086 1.71852i
\(364\) 2.34627 1.50786i 0.122978 0.0790331i
\(365\) 3.05080 + 3.52081i 0.159686 + 0.184287i
\(366\) −24.7788 + 7.27572i −1.29521 + 0.380308i
\(367\) −10.8440 −0.566051 −0.283026 0.959112i \(-0.591338\pi\)
−0.283026 + 0.959112i \(0.591338\pi\)
\(368\) −2.32297 + 4.19569i −0.121093 + 0.218716i
\(369\) 48.2879 2.51377
\(370\) 11.8474 3.47871i 0.615916 0.180849i
\(371\) −0.484670 0.559339i −0.0251628 0.0290395i
\(372\) 16.1425 10.3742i 0.836949 0.537875i
\(373\) −3.85236 26.7938i −0.199468 1.38733i −0.805833 0.592142i \(-0.798282\pi\)
0.606366 0.795186i \(-0.292627\pi\)
\(374\) −3.84487 2.47095i −0.198813 0.127770i
\(375\) 16.2805 35.6493i 0.840720 1.84092i
\(376\) 0.500914 0.578085i 0.0258326 0.0298125i
\(377\) 3.52522 24.5185i 0.181558 1.26276i
\(378\) −7.60291 16.6481i −0.391052 0.856284i
\(379\) 18.1134 + 5.31858i 0.930424 + 0.273197i 0.711614 0.702571i \(-0.247964\pi\)
0.218810 + 0.975768i \(0.429783\pi\)
\(380\) 2.02519 + 0.594650i 0.103890 + 0.0305049i
\(381\) 9.15346 + 20.0433i 0.468946 + 1.02685i
\(382\) 2.17948 15.1586i 0.111512 0.775583i
\(383\) 23.0501 26.6012i 1.17780 1.35926i 0.258355 0.966050i \(-0.416820\pi\)
0.919449 0.393208i \(-0.128635\pi\)
\(384\) −1.40362 + 3.07351i −0.0716284 + 0.156844i
\(385\) −1.38073 0.887338i −0.0703683 0.0452229i
\(386\) −2.20537 15.3387i −0.112251 0.780720i
\(387\) −78.1795 + 50.2429i −3.97409 + 2.55399i
\(388\) −4.21347 4.86261i −0.213907 0.246861i
\(389\) −0.649667 + 0.190760i −0.0329394 + 0.00967189i −0.298161 0.954516i \(-0.596373\pi\)
0.265221 + 0.964188i \(0.414555\pi\)
\(390\) −14.0606 −0.711984
\(391\) −15.8815 12.0343i −0.803164 0.608600i
\(392\) 1.00000 0.0505076
\(393\) −38.2909 + 11.2432i −1.93152 + 0.567145i
\(394\) 0.939207 + 1.08390i 0.0473166 + 0.0546063i
\(395\) 5.43432 3.49242i 0.273430 0.175723i
\(396\) 1.31761 + 9.16415i 0.0662122 + 0.460516i
\(397\) −6.89104 4.42860i −0.345852 0.222265i 0.356170 0.934421i \(-0.384083\pi\)
−0.702021 + 0.712156i \(0.747719\pi\)
\(398\) 7.73596 16.9394i 0.387768 0.849094i
\(399\) −3.13011 + 3.61234i −0.156701 + 0.180843i
\(400\) 0.394751 2.74556i 0.0197376 0.137278i
\(401\) −1.50454 3.29449i −0.0751333 0.164519i 0.868338 0.495972i \(-0.165188\pi\)
−0.943472 + 0.331453i \(0.892461\pi\)
\(402\) 8.26686 + 2.42737i 0.412314 + 0.121066i
\(403\) 15.1973 + 4.46234i 0.757033 + 0.222285i
\(404\) 4.38713 + 9.60646i 0.218268 + 0.477939i
\(405\) −7.76949 + 54.0380i −0.386069 + 2.68517i
\(406\) 5.81613 6.71218i 0.288650 0.333120i
\(407\) 3.78161 8.28058i 0.187448 0.410453i
\(408\) −11.8101 7.58988i −0.584686 0.375755i
\(409\) 0.572415 + 3.98123i 0.0283041 + 0.196859i 0.999067 0.0431799i \(-0.0137488\pi\)
−0.970763 + 0.240039i \(0.922840\pi\)
\(410\) 7.20130 4.62799i 0.355647 0.228560i
\(411\) −40.5102 46.7513i −1.99822 2.30607i
\(412\) −11.4094 + 3.35012i −0.562103 + 0.165048i
\(413\) −10.5257 −0.517937
\(414\) 2.64416 + 40.2780i 0.129953 + 1.97956i
\(415\) −16.0738 −0.789034
\(416\) −2.67604 + 0.785756i −0.131204 + 0.0385249i
\(417\) −15.7810 18.2122i −0.772798 0.891856i
\(418\) 1.30908 0.841294i 0.0640291 0.0411490i
\(419\) −3.53657 24.5974i −0.172773 1.20166i −0.872992 0.487734i \(-0.837823\pi\)
0.700219 0.713928i \(-0.253086\pi\)
\(420\) −4.24110 2.72559i −0.206945 0.132995i
\(421\) −7.18632 + 15.7358i −0.350240 + 0.766918i 0.649737 + 0.760159i \(0.274879\pi\)
−0.999977 + 0.00675930i \(0.997848\pi\)
\(422\) 10.6648 12.3079i 0.519156 0.599138i
\(423\) 0.916225 6.37249i 0.0445484 0.309841i
\(424\) 0.307454 + 0.673230i 0.0149313 + 0.0326949i
\(425\) 11.0579 + 3.24689i 0.536387 + 0.157497i
\(426\) 21.5616 + 6.33106i 1.04466 + 0.306741i
\(427\) −3.17506 6.95242i −0.153652 0.336451i
\(428\) 1.14594 7.97016i 0.0553909 0.385252i
\(429\) −6.78838 + 7.83421i −0.327746 + 0.378239i
\(430\) −6.84373 + 14.9857i −0.330034 + 0.722674i
\(431\) 13.7833 + 8.85796i 0.663916 + 0.426673i 0.828728 0.559652i \(-0.189065\pi\)
−0.164812 + 0.986325i \(0.552702\pi\)
\(432\) 2.60464 + 18.1157i 0.125316 + 0.871591i
\(433\) −10.7191 + 6.88874i −0.515126 + 0.331052i −0.772241 0.635329i \(-0.780864\pi\)
0.257115 + 0.966381i \(0.417228\pi\)
\(434\) 3.71898 + 4.29193i 0.178517 + 0.206019i
\(435\) −42.9615 + 12.6146i −2.05985 + 0.604825i
\(436\) 12.7048 0.608451
\(437\) 5.97335 3.21651i 0.285744 0.153866i
\(438\) 10.5499 0.504096
\(439\) −12.5127 + 3.67405i −0.597197 + 0.175353i −0.566341 0.824171i \(-0.691642\pi\)
−0.0308561 + 0.999524i \(0.509823\pi\)
\(440\) 1.07480 + 1.24039i 0.0512393 + 0.0591333i
\(441\) 7.08052 4.55037i 0.337167 0.216684i
\(442\) −1.64914 11.4700i −0.0784417 0.545574i
\(443\) 4.42056 + 2.84092i 0.210027 + 0.134976i 0.641425 0.767185i \(-0.278343\pi\)
−0.431399 + 0.902161i \(0.641980\pi\)
\(444\) 11.6158 25.4350i 0.551261 1.20709i
\(445\) 7.72969 8.92054i 0.366422 0.422874i
\(446\) 1.32924 9.24505i 0.0629412 0.437766i
\(447\) 0.962535 + 2.10766i 0.0455264 + 0.0996888i
\(448\) −0.959493 0.281733i −0.0453318 0.0133106i
\(449\) 37.5468 + 11.0247i 1.77194 + 0.520289i 0.994129 0.108205i \(-0.0345103\pi\)
0.777814 + 0.628494i \(0.216328\pi\)
\(450\) −9.69826 21.2362i −0.457180 1.00109i
\(451\) 0.898149 6.24676i 0.0422922 0.294148i
\(452\) 11.3277 13.0728i 0.532808 0.614894i
\(453\) −22.2081 + 48.6291i −1.04343 + 2.28479i
\(454\) 9.55020 + 6.13754i 0.448213 + 0.288049i
\(455\) −0.592221 4.11899i −0.0277638 0.193101i
\(456\) 4.02103 2.58416i 0.188302 0.121014i
\(457\) −3.26814 3.77163i −0.152877 0.176429i 0.674145 0.738599i \(-0.264512\pi\)
−0.827022 + 0.562170i \(0.809967\pi\)
\(458\) 9.12726 2.68001i 0.426489 0.125228i
\(459\) −76.0423 −3.54935
\(460\) 4.25464 + 5.75334i 0.198374 + 0.268251i
\(461\) −5.11545 −0.238250 −0.119125 0.992879i \(-0.538009\pi\)
−0.119125 + 0.992879i \(0.538009\pi\)
\(462\) −3.56622 + 1.04714i −0.165916 + 0.0487172i
\(463\) −6.46589 7.46204i −0.300495 0.346790i 0.585342 0.810787i \(-0.300960\pi\)
−0.885837 + 0.463997i \(0.846415\pi\)
\(464\) −7.47158 + 4.80169i −0.346859 + 0.222913i
\(465\) −4.07453 28.3389i −0.188952 1.31419i
\(466\) 7.80898 + 5.01853i 0.361744 + 0.232479i
\(467\) −4.17865 + 9.14996i −0.193365 + 0.423410i −0.981336 0.192303i \(-0.938404\pi\)
0.787971 + 0.615713i \(0.211132\pi\)
\(468\) −15.3723 + 17.7405i −0.710583 + 0.820057i
\(469\) −0.362894 + 2.52399i −0.0167569 + 0.116547i
\(470\) −0.474110 1.03816i −0.0218691 0.0478866i
\(471\) 49.8378 + 14.6337i 2.29640 + 0.674285i
\(472\) 10.0994 + 2.96544i 0.464861 + 0.136495i
\(473\) 5.04553 + 11.0482i 0.231994 + 0.507996i
\(474\) 2.08187 14.4797i 0.0956235 0.665076i
\(475\) −2.56959 + 2.96547i −0.117901 + 0.136065i
\(476\) 1.72599 3.77940i 0.0791108 0.173229i
\(477\) 5.24038 + 3.36779i 0.239940 + 0.154200i
\(478\) 0.839416 + 5.83827i 0.0383940 + 0.267036i
\(479\) 1.06809 0.686418i 0.0488022 0.0313632i −0.516012 0.856581i \(-0.672584\pi\)
0.564814 + 0.825218i \(0.308948\pi\)
\(480\) 3.30142 + 3.81004i 0.150689 + 0.173904i
\(481\) 22.1457 6.50258i 1.00976 0.296492i
\(482\) 11.6373 0.530063
\(483\) −15.8539 + 3.35186i −0.721379 + 0.152515i
\(484\) −9.78997 −0.444999
\(485\) −9.21120 + 2.70465i −0.418259 + 0.122812i
\(486\) 45.0055 + 51.9391i 2.04149 + 2.35601i
\(487\) 5.22673 3.35902i 0.236846 0.152212i −0.416834 0.908982i \(-0.636861\pi\)
0.653680 + 0.756771i \(0.273224\pi\)
\(488\) 1.08773 + 7.56531i 0.0492391 + 0.342466i
\(489\) 41.6492 + 26.7663i 1.88344 + 1.21041i
\(490\) 0.619820 1.35722i 0.0280006 0.0613127i
\(491\) −6.52515 + 7.53042i −0.294476 + 0.339843i −0.883637 0.468172i \(-0.844913\pi\)
0.589162 + 0.808015i \(0.299458\pi\)
\(492\) 2.75880 19.1879i 0.124376 0.865055i
\(493\) −15.3294 33.5667i −0.690401 1.51177i
\(494\) 3.78560 + 1.11155i 0.170322 + 0.0500111i
\(495\) 13.2544 + 3.89184i 0.595741 + 0.174925i
\(496\) −2.35916 5.16584i −0.105929 0.231953i
\(497\) −0.946499 + 6.58305i −0.0424563 + 0.295290i
\(498\) −23.8372 + 27.5095i −1.06817 + 1.23273i
\(499\) −9.35514 + 20.4849i −0.418794 + 0.917030i 0.576220 + 0.817294i \(0.304527\pi\)
−0.995014 + 0.0997356i \(0.968200\pi\)
\(500\) −9.75759 6.27083i −0.436373 0.280440i
\(501\) 2.56743 + 17.8568i 0.114704 + 0.797785i
\(502\) 9.90719 6.36696i 0.442179 0.284171i
\(503\) −7.21771 8.32969i −0.321822 0.371402i 0.571668 0.820485i \(-0.306296\pi\)
−0.893490 + 0.449082i \(0.851751\pi\)
\(504\) −8.07569 + 2.37124i −0.359720 + 0.105623i
\(505\) 15.7573 0.701189
\(506\) 5.25974 + 0.407104i 0.233824 + 0.0180980i
\(507\) 17.6423 0.783522
\(508\) 6.25714 1.83726i 0.277616 0.0815154i
\(509\) −18.6082 21.4750i −0.824792 0.951861i 0.174671 0.984627i \(-0.444114\pi\)
−0.999463 + 0.0327657i \(0.989568\pi\)
\(510\) −17.6212 + 11.3245i −0.780281 + 0.501456i
\(511\) 0.444356 + 3.09057i 0.0196572 + 0.136719i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) 10.7553 23.5508i 0.474857 1.03979i
\(514\) −4.77518 + 5.51085i −0.210624 + 0.243073i
\(515\) −2.52497 + 17.5615i −0.111263 + 0.773854i
\(516\) 15.4981 + 33.9361i 0.682266 + 1.49395i
\(517\) −0.807334 0.237055i −0.0355065 0.0104256i
\(518\) 7.94035 + 2.33150i 0.348879 + 0.102440i
\(519\) −12.6921 27.7919i −0.557123 1.21993i
\(520\) −0.592221 + 4.11899i −0.0259706 + 0.180630i
\(521\) 26.5130 30.5977i 1.16156 1.34051i 0.231613 0.972808i \(-0.425600\pi\)
0.929944 0.367700i \(-0.119855\pi\)
\(522\) −31.0532 + 67.9969i −1.35916 + 2.97614i
\(523\) 22.2209 + 14.2805i 0.971652 + 0.624443i 0.927199 0.374568i \(-0.122209\pi\)
0.0444532 + 0.999011i \(0.485845\pi\)
\(524\) 1.68087 + 11.6907i 0.0734293 + 0.510712i
\(525\) 7.88441 5.06700i 0.344104 0.221142i
\(526\) −17.5077 20.2049i −0.763371 0.880977i
\(527\) 22.6399 6.64767i 0.986208 0.289577i
\(528\) 3.71677 0.161752
\(529\) 22.7261 + 3.53920i 0.988090 + 0.153878i
\(530\) 1.10428 0.0479670
\(531\) 85.0026 24.9590i 3.68880 1.08313i
\(532\) 0.926383 + 1.06910i 0.0401638 + 0.0463515i
\(533\) 13.4610 8.65088i 0.583062 0.374711i
\(534\) −3.80407 26.4579i −0.164618 1.14495i
\(535\) −10.1070 6.49535i −0.436962 0.280818i
\(536\) 1.05928 2.31951i 0.0457541 0.100187i
\(537\) −36.1620 + 41.7332i −1.56051 + 1.80092i
\(538\) −1.40981 + 9.80546i −0.0607813 + 0.422743i
\(539\) −0.456961 1.00061i −0.0196827 0.0430991i
\(540\) 26.2013 + 7.69339i 1.12752 + 0.331071i
\(541\) 1.42532 + 0.418513i 0.0612795 + 0.0179933i 0.312229 0.950007i \(-0.398925\pi\)
−0.250949 + 0.968000i \(0.580743\pi\)
\(542\) −7.78610 17.0492i −0.334441 0.732325i
\(543\) 12.2598 85.2685i 0.526116 3.65922i
\(544\) −2.72086 + 3.14004i −0.116656 + 0.134628i
\(545\) 7.87470 17.2432i 0.337315 0.738617i
\(546\) −7.92769 5.09482i −0.339274 0.218038i
\(547\) 1.53131 + 10.6505i 0.0654742 + 0.455383i 0.996014 + 0.0891932i \(0.0284288\pi\)
−0.930540 + 0.366190i \(0.880662\pi\)
\(548\) −15.4019 + 9.89819i −0.657936 + 0.422830i
\(549\) 42.1267 + 48.6168i 1.79792 + 2.07491i
\(550\) −2.92761 + 0.859623i −0.124834 + 0.0366544i
\(551\) 12.5640 0.535243
\(552\) 16.1561 + 1.25048i 0.687648 + 0.0532240i
\(553\) 4.32947 0.184108
\(554\) 14.5220 4.26406i 0.616983 0.181162i
\(555\) −27.3211 31.5303i −1.15972 1.33839i
\(556\) −5.99989 + 3.85589i −0.254452 + 0.163526i
\(557\) 0.192660 + 1.33998i 0.00816325 + 0.0567766i 0.993496 0.113868i \(-0.0363241\pi\)
−0.985333 + 0.170645i \(0.945415\pi\)
\(558\) −40.2105 25.8417i −1.70225 1.09397i
\(559\) −12.7927 + 28.0120i −0.541072 + 1.18478i
\(560\) −0.977084 + 1.12762i −0.0412893 + 0.0476504i
\(561\) −2.19773 + 15.2855i −0.0927881 + 0.645355i
\(562\) −4.69030 10.2703i −0.197848 0.433228i
\(563\) −9.39237 2.75785i −0.395841 0.116230i 0.0777529 0.996973i \(-0.475225\pi\)
−0.473594 + 0.880743i \(0.657044\pi\)
\(564\) −2.47985 0.728148i −0.104420 0.0306606i
\(565\) −10.7215 23.4769i −0.451058 0.987679i
\(566\) −1.25404 + 8.72203i −0.0527112 + 0.366614i
\(567\) −23.9612 + 27.6527i −1.00627 + 1.16130i
\(568\) 2.76282 6.04973i 0.115925 0.253841i
\(569\) 12.4758 + 8.01773i 0.523014 + 0.336121i 0.775363 0.631516i \(-0.217567\pi\)
−0.252349 + 0.967636i \(0.581203\pi\)
\(570\) −1.01495 7.05912i −0.0425115 0.295674i
\(571\) −29.4214 + 18.9080i −1.23125 + 0.791274i −0.984085 0.177700i \(-0.943134\pi\)
−0.247162 + 0.968974i \(0.579498\pi\)
\(572\) 2.00908 + 2.31860i 0.0840038 + 0.0969456i
\(573\) −49.6494 + 14.5784i −2.07413 + 0.609020i
\(574\) 5.73721 0.239466
\(575\) −13.0149 + 2.75164i −0.542760 + 0.114751i
\(576\) 8.41663 0.350693
\(577\) 33.1050 9.72052i 1.37818 0.404670i 0.493045 0.870004i \(-0.335884\pi\)
0.885136 + 0.465333i \(0.154065\pi\)
\(578\) −0.172186 0.198713i −0.00716200 0.00826539i
\(579\) −44.0482 + 28.3080i −1.83058 + 1.17644i
\(580\) 1.88590 + 13.1167i 0.0783077 + 0.544642i
\(581\) −9.06282 5.82432i −0.375989 0.241634i
\(582\) −9.03114 + 19.7754i −0.374353 + 0.819718i
\(583\) 0.533143 0.615280i 0.0220805 0.0254823i
\(584\) 0.444356 3.09057i 0.0183876 0.127889i
\(585\) 14.5497 + 31.8594i 0.601556 + 1.31722i
\(586\) −15.5821 4.57533i −0.643692 0.189005i
\(587\) 24.9845 + 7.33611i 1.03122 + 0.302794i 0.753207 0.657784i \(-0.228506\pi\)
0.278013 + 0.960577i \(0.410324\pi\)
\(588\) −1.40362 3.07351i −0.0578845 0.126749i
\(589\) −1.14332 + 7.95194i −0.0471096 + 0.327654i
\(590\) 10.2845 11.8690i 0.423407 0.488638i
\(591\) 2.01309 4.40806i 0.0828075 0.181323i
\(592\) −6.96185 4.47411i −0.286130 0.183885i
\(593\) −0.377148 2.62312i −0.0154876 0.107719i 0.980611 0.195963i \(-0.0627834\pi\)
−0.996099 + 0.0882446i \(0.971874\pi\)
\(594\) 16.9364 10.8844i 0.694910 0.446592i
\(595\) −4.05966 4.68509i −0.166430 0.192070i
\(596\) 0.657972 0.193198i 0.0269516 0.00791370i
\(597\) −62.9217 −2.57522
\(598\) 7.95299 + 10.7544i 0.325222 + 0.439782i
\(599\) −0.0575911 −0.00235311 −0.00117655 0.999999i \(-0.500375\pi\)
−0.00117655 + 0.999999i \(0.500375\pi\)
\(600\) −8.99258 + 2.64046i −0.367121 + 0.107796i
\(601\) 15.7154 + 18.1366i 0.641046 + 0.739806i 0.979559 0.201155i \(-0.0644696\pi\)
−0.338514 + 0.940961i \(0.609924\pi\)
\(602\) −9.28869 + 5.96948i −0.378579 + 0.243298i
\(603\) −3.05435 21.2434i −0.124383 0.865100i
\(604\) 13.3103 + 8.55402i 0.541589 + 0.348058i
\(605\) −6.06802 + 13.2871i −0.246700 + 0.540198i
\(606\) 23.3677 26.9677i 0.949247 1.09549i
\(607\) −2.80673 + 19.5213i −0.113922 + 0.792343i 0.850119 + 0.526590i \(0.176530\pi\)
−0.964041 + 0.265753i \(0.914379\pi\)
\(608\) −0.587657 1.28679i −0.0238326 0.0521862i
\(609\) −28.7936 8.45457i −1.16678 0.342596i
\(610\) 10.9420 + 3.21285i 0.443027 + 0.130084i
\(611\) −0.886231 1.94058i −0.0358531 0.0785073i
\(612\) −4.97675 + 34.6140i −0.201173 + 1.39919i
\(613\) −17.7757 + 20.5142i −0.717953 + 0.828561i −0.991059 0.133422i \(-0.957403\pi\)
0.273107 + 0.961984i \(0.411949\pi\)
\(614\) 11.7698 25.7722i 0.474989 1.04008i
\(615\) −24.3321 15.6373i −0.981165 0.630556i
\(616\) 0.156548 + 1.08882i 0.00630750 + 0.0438696i
\(617\) 19.9041 12.7916i 0.801309 0.514970i −0.0747335 0.997204i \(-0.523811\pi\)
0.876043 + 0.482233i \(0.160174\pi\)
\(618\) 26.3112 + 30.3647i 1.05839 + 1.22145i
\(619\) −3.28671 + 0.965066i −0.132104 + 0.0387893i −0.347116 0.937822i \(-0.612839\pi\)
0.215012 + 0.976611i \(0.431021\pi\)
\(620\) −8.47340 −0.340300
\(621\) 77.2813 41.6141i 3.10119 1.66992i
\(622\) −13.7624 −0.551822
\(623\) 7.59052 2.22878i 0.304108 0.0892941i
\(624\) 6.17119 + 7.12193i 0.247045 + 0.285105i
\(625\) −2.89151 + 1.85826i −0.115660 + 0.0743303i
\(626\) 1.24023 + 8.62596i 0.0495694 + 0.344763i
\(627\) −4.42318 2.84261i −0.176645 0.113523i
\(628\) 6.38602 13.9834i 0.254830 0.558000i
\(629\) 22.5167 25.9856i 0.897798 1.03611i
\(630\) −1.78719 + 12.4302i −0.0712035 + 0.495231i
\(631\) −0.0504098 0.110382i −0.00200678 0.00439424i 0.908626 0.417611i \(-0.137132\pi\)
−0.910633 + 0.413217i \(0.864405\pi\)
\(632\) −4.15410 1.21975i −0.165241 0.0485192i
\(633\) −52.7978 15.5028i −2.09852 0.616182i
\(634\) −10.2316 22.4041i −0.406349 0.889780i
\(635\) 1.38474 9.63106i 0.0549517 0.382197i
\(636\) 1.63763 1.88992i 0.0649362 0.0749404i
\(637\) 1.15860 2.53698i 0.0459054 0.100519i
\(638\) 8.21882 + 5.28192i 0.325386 + 0.209113i
\(639\) −7.96633 55.4071i −0.315143 2.19187i
\(640\) 1.25519 0.806663i 0.0496158 0.0318861i
\(641\) 5.75397 + 6.64044i 0.227268 + 0.262281i 0.857919 0.513786i \(-0.171757\pi\)
−0.630650 + 0.776067i \(0.717212\pi\)
\(642\) −26.1048 + 7.66507i −1.03028 + 0.302516i
\(643\) −0.0957894 −0.00377757 −0.00188878 0.999998i \(-0.500601\pi\)
−0.00188878 + 0.999998i \(0.500601\pi\)
\(644\) 0.314159 + 4.78553i 0.0123796 + 0.188576i
\(645\) 55.6647 2.19179
\(646\) 5.63950 1.65591i 0.221883 0.0651508i
\(647\) 12.2566 + 14.1449i 0.481856 + 0.556092i 0.943671 0.330885i \(-0.107347\pi\)
−0.461815 + 0.886976i \(0.652802\pi\)
\(648\) 30.7812 19.7819i 1.20920 0.777106i
\(649\) −1.64778 11.4606i −0.0646811 0.449867i
\(650\) −6.50806 4.18247i −0.255267 0.164050i
\(651\) 7.97124 17.4546i 0.312418 0.684099i
\(652\) 9.59532 11.0736i 0.375782 0.433675i
\(653\) −0.249581 + 1.73587i −0.00976686 + 0.0679300i −0.994122 0.108266i \(-0.965470\pi\)
0.984355 + 0.176196i \(0.0563793\pi\)
\(654\) −17.8328 39.0484i −0.697318 1.52691i
\(655\) 16.9087 + 4.96484i 0.660677 + 0.193992i
\(656\) −5.50481 1.61636i −0.214927 0.0631082i
\(657\) −10.9170 23.9048i −0.425911 0.932615i
\(658\) 0.108859 0.757131i 0.00424376 0.0295160i
\(659\) −10.1669 + 11.7333i −0.396048 + 0.457064i −0.918392 0.395671i \(-0.870512\pi\)
0.522345 + 0.852735i \(0.325058\pi\)
\(660\) 2.30373 5.04446i 0.0896726 0.196355i
\(661\) −1.66410 1.06945i −0.0647261 0.0415970i 0.507878 0.861429i \(-0.330430\pi\)
−0.572604 + 0.819832i \(0.694067\pi\)
\(662\) 3.36878 + 23.4304i 0.130931 + 0.910647i
\(663\) −32.9385 + 21.1683i −1.27923 + 0.822109i
\(664\) 7.05481 + 8.14169i 0.273780 + 0.315959i
\(665\) 2.02519 0.594650i 0.0785336 0.0230596i
\(666\) −69.6524 −2.69897
\(667\) 33.9485 + 25.7246i 1.31449 + 0.996060i
\(668\) 5.33923 0.206581
\(669\) −30.2805 + 8.89116i −1.17071 + 0.343752i
\(670\) −2.49151 2.87535i −0.0962553 0.111085i
\(671\) 7.07285 4.54544i 0.273044 0.175475i
\(672\) 0.480860 + 3.34446i 0.0185496 + 0.129015i
\(673\) −7.36873 4.73560i −0.284044 0.182544i 0.390859 0.920451i \(-0.372178\pi\)
−0.674903 + 0.737907i \(0.735814\pi\)
\(674\) −9.79705 + 21.4525i −0.377368 + 0.826321i
\(675\) −33.2445 + 38.3662i −1.27958 + 1.47672i
\(676\) 0.743082 5.16825i 0.0285801 0.198779i
\(677\) −13.5372 29.6424i −0.520278 1.13925i −0.969334 0.245746i \(-0.920967\pi\)
0.449057 0.893503i \(-0.351760\pi\)
\(678\) −56.0792 16.4663i −2.15371 0.632386i
\(679\) −6.17352 1.81271i −0.236918 0.0695654i
\(680\) 2.57527 + 5.63905i 0.0987571 + 0.216248i
\(681\) 5.45889 37.9674i 0.209185 1.45492i
\(682\) −4.09092 + 4.72117i −0.156649 + 0.180783i
\(683\) −4.39724 + 9.62861i −0.168256 + 0.368428i −0.974911 0.222593i \(-0.928548\pi\)
0.806656 + 0.591021i \(0.201275\pi\)
\(684\) −10.0163 6.43707i −0.382982 0.246128i
\(685\) 3.88759 + 27.0388i 0.148537 + 1.03310i
\(686\) 0.841254 0.540641i 0.0321192 0.0206418i
\(687\) −21.0483 24.2910i −0.803042 0.926760i
\(688\) 10.5942 3.11075i 0.403901 0.118596i
\(689\) 2.06418 0.0786392
\(690\) 11.7110 21.1522i 0.445831 0.805250i
\(691\) −42.5871 −1.62009 −0.810046 0.586367i \(-0.800558\pi\)
−0.810046 + 0.586367i \(0.800558\pi\)
\(692\) −8.67612 + 2.54754i −0.329817 + 0.0968429i
\(693\) 6.06296 + 6.99702i 0.230313 + 0.265795i
\(694\) −17.3422 + 11.1452i −0.658302 + 0.423065i
\(695\) 1.51443 + 10.5331i 0.0574456 + 0.399543i
\(696\) 25.2453 + 16.2242i 0.956922 + 0.614977i
\(697\) 9.90239 21.6832i 0.375080 0.821310i
\(698\) −1.26014 + 1.45428i −0.0476969 + 0.0550452i
\(699\) 4.46361 31.0451i 0.168829 1.17423i
\(700\) −1.15227 2.52313i −0.0435519 0.0953653i
\(701\) −29.5844 8.68677i −1.11739 0.328095i −0.329649 0.944104i \(-0.606930\pi\)
−0.787739 + 0.616009i \(0.788749\pi\)
\(702\) 48.9768 + 14.3809i 1.84851 + 0.542772i
\(703\) 4.86319 + 10.6489i 0.183419 + 0.401631i
\(704\) 0.156548 1.08882i 0.00590012 0.0410363i
\(705\) −2.52531 + 2.91436i −0.0951087 + 0.109761i
\(706\) 9.11170 19.9518i 0.342923 0.750897i
\(707\) 8.88433 + 5.70961i 0.334130 + 0.214732i
\(708\) −5.06141 35.2029i −0.190219 1.32300i
\(709\) 40.7459 26.1858i 1.53025 0.983429i 0.540380 0.841421i \(-0.318281\pi\)
0.989866 0.142008i \(-0.0453557\pi\)
\(710\) −6.49834 7.49948i −0.243878 0.281450i
\(711\) −34.9635 + 10.2662i −1.31123 + 0.385013i
\(712\) −7.91097 −0.296476
\(713\) −19.3708 + 19.1456i −0.725443 + 0.717010i
\(714\) −14.0387 −0.525384
\(715\) 4.39211 1.28964i 0.164256 0.0482298i
\(716\) 10.7025 + 12.3513i 0.399970 + 0.461590i
\(717\) 16.7657 10.7747i 0.626128 0.402388i
\(718\) −4.89683 34.0582i −0.182748 1.27104i
\(719\) 11.9800 + 7.69908i 0.446779 + 0.287127i 0.744621 0.667488i \(-0.232630\pi\)
−0.297842 + 0.954615i \(0.596267\pi\)
\(720\) 5.21679 11.4232i 0.194418 0.425717i
\(721\) −7.78703 + 8.98671i −0.290004 + 0.334682i
\(722\) 2.41919 16.8258i 0.0900328 0.626192i
\(723\) −16.3344 35.7673i −0.607482 1.33020i
\(724\) −24.4627 7.18290i −0.909149 0.266950i
\(725\) −23.6375 6.94058i −0.877873 0.257767i
\(726\) 13.7415 + 30.0896i 0.509993 + 1.11673i
\(727\) −0.826131 + 5.74587i −0.0306395 + 0.213103i −0.999390 0.0349366i \(-0.988877\pi\)
0.968750 + 0.248039i \(0.0797862\pi\)
\(728\) −1.82642 + 2.10780i −0.0676915 + 0.0781202i
\(729\) 50.8648 111.378i 1.88388 4.12512i
\(730\) −3.91914 2.51868i −0.145054 0.0932205i
\(731\) 6.52883 + 45.4090i 0.241477 + 1.67951i
\(732\) 21.7253 13.9620i 0.802990 0.516051i
\(733\) 4.53979 + 5.23920i 0.167681 + 0.193514i 0.833371 0.552715i \(-0.186408\pi\)
−0.665690 + 0.746229i \(0.731863\pi\)
\(734\) 10.4047 3.05510i 0.384046 0.112766i
\(735\) −5.04141 −0.185955
\(736\) 1.04681 4.68019i 0.0385858 0.172514i
\(737\) −2.80496 −0.103322
\(738\) −46.3319 + 13.6043i −1.70550 + 0.500781i
\(739\) −28.0666 32.3906i −1.03245 1.19151i −0.981234 0.192818i \(-0.938237\pi\)
−0.0512115 0.998688i \(-0.516308\pi\)
\(740\) −10.3874 + 6.67559i −0.381849 + 0.245400i
\(741\) −1.89719 13.1953i −0.0696951 0.484740i
\(742\) 0.622622 + 0.400135i 0.0228572 + 0.0146894i
\(743\) 8.94478 19.5863i 0.328152 0.718553i −0.671598 0.740916i \(-0.734392\pi\)
0.999750 + 0.0223629i \(0.00711894\pi\)
\(744\) −12.5659 + 14.5018i −0.460687 + 0.531661i
\(745\) 0.145613 1.01276i 0.00533483 0.0371046i
\(746\) 11.2450 + 24.6231i 0.411708 + 0.901515i
\(747\) 86.9994 + 25.5453i 3.18314 + 0.934655i
\(748\) 4.38527 + 1.28763i 0.160341 + 0.0470805i
\(749\) −3.34497 7.32447i −0.122223 0.267630i
\(750\) −5.57744 + 38.7920i −0.203659 + 1.41648i
\(751\) 2.94664 3.40060i 0.107524 0.124090i −0.699436 0.714695i \(-0.746566\pi\)
0.806961 + 0.590605i \(0.201111\pi\)
\(752\) −0.317758 + 0.695792i −0.0115874 + 0.0253729i
\(753\) −33.4749 21.5130i −1.21989 0.783978i
\(754\) 3.52522 + 24.5185i 0.128381 + 0.892910i
\(755\) 19.8596 12.7630i 0.722766 0.464493i
\(756\) 11.9852 + 13.8317i 0.435899 + 0.503054i
\(757\) −40.9236 + 12.0163i −1.48739 + 0.436738i −0.921709 0.387883i \(-0.873206\pi\)
−0.565685 + 0.824621i \(0.691388\pi\)
\(758\) −18.8781 −0.685684
\(759\) −6.13146 16.7373i −0.222558 0.607525i
\(760\) −2.11069 −0.0765628
\(761\) 0.928916 0.272754i 0.0336732 0.00988734i −0.264853 0.964289i \(-0.585323\pi\)
0.298526 + 0.954402i \(0.403505\pi\)
\(762\) −14.4295 16.6526i −0.522727 0.603259i
\(763\) 10.6880 6.86875i 0.386931 0.248665i
\(764\) 2.17948 + 15.1586i 0.0788509 + 0.548420i
\(765\) 43.8940 + 28.2090i 1.58699 + 1.01990i
\(766\) −14.6220 + 32.0176i −0.528313 + 1.15684i
\(767\) 19.2244 22.1861i 0.694152 0.801094i
\(768\) 0.480860 3.34446i 0.0173516 0.120683i
\(769\) −5.62795 12.3235i −0.202949 0.444396i 0.780602 0.625029i \(-0.214913\pi\)
−0.983551 + 0.180633i \(0.942186\pi\)
\(770\) 1.57479 + 0.462400i 0.0567514 + 0.0166637i
\(771\) 23.6402 + 6.94140i 0.851382 + 0.249988i
\(772\) 6.43746 + 14.0961i 0.231689 + 0.507328i
\(773\) −7.38569 + 51.3686i −0.265645 + 1.84760i 0.222622 + 0.974905i \(0.428539\pi\)
−0.488266 + 0.872695i \(0.662371\pi\)
\(774\) 60.8576 70.2334i 2.18748 2.52449i
\(775\) 6.54381 14.3289i 0.235061 0.514711i
\(776\) 5.41275 + 3.47856i 0.194306 + 0.124873i
\(777\) −3.97939 27.6773i −0.142760 0.992917i
\(778\) 0.569608 0.366065i 0.0204214 0.0131241i
\(779\) 5.31485 + 6.13367i 0.190424 + 0.219761i
\(780\) 13.4910 3.96132i 0.483056 0.141838i
\(781\) −7.31590 −0.261783
\(782\) 18.6287 + 7.07247i 0.666160 + 0.252911i
\(783\) 162.549 5.80901
\(784\) −0.959493 + 0.281733i −0.0342676 + 0.0100619i
\(785\) −15.0204 17.3344i −0.536099 0.618692i
\(786\) 33.5723 21.5756i 1.19748 0.769576i
\(787\) −7.70008 53.5552i −0.274478 1.90904i −0.399231 0.916850i \(-0.630723\pi\)
0.124753 0.992188i \(-0.460186\pi\)
\(788\) −1.20653 0.775392i −0.0429810 0.0276222i
\(789\) −37.5259 + 82.1702i −1.33596 + 2.92534i
\(790\) −4.23026 + 4.88198i −0.150506 + 0.173693i
\(791\) 2.46174 17.1217i 0.0875293 0.608779i
\(792\) −3.84607 8.42173i −0.136664 0.299253i
\(793\) 20.4533 + 6.00562i 0.726317 + 0.213266i
\(794\) 7.85959 + 2.30778i 0.278926 + 0.0819002i
\(795\) −1.55000 3.39403i −0.0549728 0.120374i
\(796\) −2.65022 + 18.4327i −0.0939346 + 0.653329i
\(797\) 15.0633 17.3840i 0.533570 0.615773i −0.423406 0.905940i \(-0.639165\pi\)
0.956976 + 0.290167i \(0.0937109\pi\)
\(798\) 1.98560 4.34787i 0.0702896 0.153913i
\(799\) −2.67361 1.71823i −0.0945855 0.0607864i
\(800\) 0.394751 + 2.74556i 0.0139566 + 0.0970701i
\(801\) −56.0138 + 35.9979i −1.97915 + 1.27192i
\(802\) 2.37176 + 2.73716i 0.0837499 + 0.0966525i
\(803\) −3.29549 + 0.967644i −0.116295 + 0.0341474i
\(804\) −8.61586 −0.303858
\(805\) 6.68972 + 2.53978i 0.235782 + 0.0895156i
\(806\) −15.8389 −0.557902
\(807\) 32.1160 9.43012i 1.13054 0.331956i
\(808\) −6.91587 7.98134i −0.243299 0.280783i
\(809\) −6.57187 + 4.22348i −0.231055 + 0.148490i −0.651046 0.759038i \(-0.725669\pi\)
0.419991 + 0.907528i \(0.362033\pi\)
\(810\) −7.76949 54.0380i −0.272992 1.89870i
\(811\) −32.8317 21.0996i −1.15288 0.740909i −0.182667 0.983175i \(-0.558473\pi\)
−0.970210 + 0.242266i \(0.922109\pi\)
\(812\) −3.68950 + 8.07888i −0.129476 + 0.283513i
\(813\) −41.4720 + 47.8613i −1.45449 + 1.67857i
\(814\) −1.29552 + 9.01056i −0.0454081 + 0.315820i
\(815\) −9.08188 19.8865i −0.318124 0.696595i
\(816\) 13.4700 + 3.95515i 0.471545 + 0.138458i
\(817\) −14.9869 4.40054i −0.524324 0.153956i
\(818\) −1.67087 3.65869i −0.0584206 0.127923i
\(819\) −3.34071 + 23.2352i −0.116734 + 0.811902i
\(820\) −5.60574 + 6.46936i −0.195761 + 0.225920i
\(821\) −4.32742 + 9.47572i −0.151028 + 0.330705i −0.969991 0.243141i \(-0.921822\pi\)
0.818963 + 0.573846i \(0.194549\pi\)
\(822\) 52.0406 + 33.4445i 1.81513 + 1.16651i
\(823\) 1.71891 + 11.9552i 0.0599173 + 0.416734i 0.997600 + 0.0692410i \(0.0220578\pi\)
−0.937683 + 0.347493i \(0.887033\pi\)
\(824\) 10.0034 6.42882i 0.348487 0.223959i
\(825\) 6.75132 + 7.79144i 0.235051 + 0.271263i
\(826\) 10.0994 2.96544i 0.351402 0.103181i
\(827\) 54.1234 1.88206 0.941028 0.338328i \(-0.109861\pi\)
0.941028 + 0.338328i \(0.109861\pi\)
\(828\) −13.8847 37.9015i −0.482526 1.31717i
\(829\) 10.8509 0.376866 0.188433 0.982086i \(-0.439659\pi\)
0.188433 + 0.982086i \(0.439659\pi\)
\(830\) 15.4227 4.52852i 0.535331 0.157187i
\(831\) −33.4891 38.6485i −1.16173 1.34070i
\(832\) 2.34627 1.50786i 0.0813422 0.0522755i
\(833\) −0.591299 4.11258i −0.0204873 0.142492i
\(834\) 20.2727 + 13.0285i 0.701987 + 0.451139i
\(835\) 3.30936 7.24649i 0.114525 0.250775i
\(836\) −1.01903 + 1.17603i −0.0352440 + 0.0406737i
\(837\) −14.7919 + 102.880i −0.511282 + 3.55604i
\(838\) 10.3232 + 22.6047i 0.356609 + 0.780866i
\(839\) −18.6265 5.46923i −0.643058 0.188819i −0.0560855 0.998426i \(-0.517862\pi\)
−0.586972 + 0.809607i \(0.699680\pi\)
\(840\) 4.83720 + 1.42033i 0.166899 + 0.0490060i
\(841\) 20.7212 + 45.3731i 0.714524 + 1.56459i
\(842\) 2.46192 17.1230i 0.0848435 0.590099i
\(843\) −24.9825 + 28.8314i −0.860444 + 0.993005i
\(844\) −6.76531 + 14.8140i −0.232871 + 0.509917i
\(845\) −6.55385 4.21190i −0.225459 0.144894i
\(846\) 0.916225 + 6.37249i 0.0315005 + 0.219091i
\(847\) −8.23585 + 5.29286i −0.282987 + 0.181865i
\(848\) −0.484670 0.559339i −0.0166437 0.0192078i
\(849\) 28.5674 8.38816i 0.980432 0.287881i
\(850\) −11.5247 −0.395295
\(851\) −8.66292 + 38.7312i −0.296961 + 1.32769i
\(852\) −22.4719 −0.769873
\(853\) 9.12862 2.68041i 0.312558 0.0917753i −0.121691 0.992568i \(-0.538832\pi\)
0.434249 + 0.900793i \(0.357014\pi\)
\(854\) 5.00517 + 5.77628i 0.171273 + 0.197660i
\(855\) −14.9448 + 9.60443i −0.511101 + 0.328465i
\(856\) 1.14594 + 7.97016i 0.0391673 + 0.272415i
\(857\) 41.2725 + 26.5242i 1.40984 + 0.906049i 0.999981 0.00609987i \(-0.00194166\pi\)
0.409859 + 0.912149i \(0.365578\pi\)
\(858\) 4.30625 9.42937i 0.147013 0.321913i
\(859\) 12.2487 14.1357i 0.417919 0.482304i −0.507283 0.861780i \(-0.669350\pi\)
0.925202 + 0.379475i \(0.123895\pi\)
\(860\) 2.34456 16.3068i 0.0799488 0.556056i
\(861\) −8.05289 17.6334i −0.274442 0.600944i
\(862\) −15.7205 4.61596i −0.535443 0.157220i
\(863\) −23.5181 6.90554i −0.800566 0.235067i −0.144238 0.989543i \(-0.546073\pi\)
−0.656328 + 0.754476i \(0.727891\pi\)
\(864\) −7.60291 16.6481i −0.258656 0.566378i
\(865\) −1.92007 + 13.3544i −0.0652843 + 0.454062i
\(866\) 8.34411 9.62961i 0.283544 0.327228i
\(867\) −0.369063 + 0.808135i −0.0125340 + 0.0274457i
\(868\) −4.77751 3.07032i −0.162159 0.104213i
\(869\) 0.677770 + 4.71399i 0.0229918 + 0.159911i
\(870\) 37.6673 24.2073i 1.27704 0.820704i
\(871\) −4.65725 5.37476i −0.157805 0.182117i
\(872\) −12.1902 + 3.57936i −0.412812 + 0.121213i
\(873\) 54.1538 1.83283
\(874\) −4.82519 + 4.76910i −0.163215 + 0.161317i
\(875\) −11.5989 −0.392114
\(876\) −10.1226 + 2.97226i −0.342011 + 0.100423i
\(877\) 2.62247 + 3.02649i 0.0885544 + 0.102197i 0.798297 0.602264i \(-0.205734\pi\)
−0.709743 + 0.704461i \(0.751189\pi\)
\(878\) 10.9707 7.05045i 0.370244 0.237941i
\(879\) 7.80916 + 54.3139i 0.263396 + 1.83196i
\(880\) −1.38073 0.887338i −0.0465442 0.0299122i
\(881\) −23.6777 + 51.8469i −0.797721 + 1.74676i −0.144629 + 0.989486i \(0.546199\pi\)
−0.653092 + 0.757279i \(0.726528\pi\)
\(882\) −5.51172 + 6.36086i −0.185589 + 0.214181i
\(883\) −6.09211 + 42.3715i −0.205016 + 1.42592i 0.584105 + 0.811678i \(0.301446\pi\)
−0.789121 + 0.614238i \(0.789464\pi\)
\(884\) 4.81383 + 10.5408i 0.161906 + 0.354526i
\(885\) −50.9150 14.9500i −1.71149 0.502539i
\(886\) −5.04187 1.48043i −0.169385 0.0497359i
\(887\) −15.3133 33.5315i −0.514171 1.12588i −0.971600 0.236631i \(-0.923957\pi\)
0.457428 0.889246i \(-0.348771\pi\)
\(888\) −3.97939 + 27.6773i −0.133540 + 0.928789i
\(889\) 4.27055 4.92847i 0.143229 0.165296i
\(890\) −4.90338 + 10.7369i −0.164362 + 0.359902i
\(891\) −33.8597 21.7603i −1.13434 0.728998i
\(892\) 1.32924 + 9.24505i 0.0445062 + 0.309547i
\(893\) 0.910296 0.585011i 0.0304619 0.0195767i
\(894\) −1.51734 1.75111i −0.0507475 0.0585657i
\(895\) 23.3970 6.86997i 0.782075 0.229638i
\(896\) 1.00000 0.0334077
\(897\) 21.8909 39.5388i 0.730914 1.32016i
\(898\) −39.1319 −1.30585
\(899\) −48.3952 + 14.2101i −1.61407 + 0.473934i
\(900\) 15.2883 + 17.6437i 0.509612 + 0.588123i
\(901\) 2.58691 1.66251i 0.0861826 0.0553862i
\(902\) 0.898149 + 6.24676i 0.0299051 + 0.207994i
\(903\) 31.3851 + 20.1700i 1.04443 + 0.671215i
\(904\) −7.18577 + 15.7346i −0.238995 + 0.523327i
\(905\) −24.9112 + 28.7491i −0.828076 + 0.955651i
\(906\) 7.60817 52.9160i 0.252765 1.75802i
\(907\) 2.17627 + 4.76536i 0.0722618 + 0.158231i 0.942316 0.334725i \(-0.108643\pi\)
−0.870054 + 0.492956i \(0.835916\pi\)
\(908\) −10.8925 3.19832i −0.361480 0.106140i
\(909\) −85.2860 25.0422i −2.82876 0.830598i
\(910\) 1.72869 + 3.78529i 0.0573054 + 0.125481i
\(911\) −1.63951 + 11.4030i −0.0543193 + 0.377799i 0.944470 + 0.328599i \(0.106576\pi\)
−0.998789 + 0.0492005i \(0.984333\pi\)
\(912\) −3.13011 + 3.61234i −0.103648 + 0.119616i
\(913\) 4.92284 10.7795i 0.162922 0.356750i
\(914\) 4.19834 + 2.69811i 0.138869 + 0.0892456i
\(915\) −5.48368 38.1398i −0.181285 1.26086i
\(916\) −8.00250 + 5.14289i −0.264410 + 0.169926i
\(917\) 7.73453 + 8.92612i 0.255417 + 0.294766i
\(918\) 72.9620 21.4236i 2.40811 0.707084i
\(919\) −27.6583 −0.912362 −0.456181 0.889887i \(-0.650783\pi\)
−0.456181 + 0.889887i \(0.650783\pi\)
\(920\) −5.70320 4.32162i −0.188029 0.142479i
\(921\) −95.7313 −3.15445
\(922\) 4.90824 1.44119i 0.161644 0.0474630i
\(923\) −12.1470 14.0184i −0.399824 0.461422i
\(924\) 3.12675 2.00944i 0.102863 0.0661057i
\(925\) −3.26679 22.7210i −0.107411 0.747063i
\(926\) 8.30628 + 5.33812i 0.272961 + 0.175421i
\(927\) 41.5760 91.0388i 1.36554 2.99011i
\(928\) 5.81613 6.71218i 0.190924 0.220338i
\(929\) 3.76306 26.1727i 0.123462 0.858697i −0.830124 0.557578i \(-0.811731\pi\)
0.953587 0.301119i \(-0.0973602\pi\)
\(930\) 11.8935 + 26.0431i 0.390003 + 0.853987i
\(931\) 1.35732 + 0.398546i 0.0444845 + 0.0130618i
\(932\) −8.90654 2.61520i −0.291743 0.0856636i
\(933\) 19.3173 + 42.2989i 0.632418 + 1.38480i
\(934\) 1.43154 9.95659i 0.0468415 0.325790i
\(935\) 4.46567 5.15366i 0.146043 0.168543i
\(936\) 9.75149 21.3528i 0.318738 0.697938i
\(937\) −2.82033 1.81251i −0.0921361 0.0592123i 0.493762 0.869597i \(-0.335622\pi\)
−0.585898 + 0.810385i \(0.699258\pi\)
\(938\) −0.362894 2.52399i −0.0118489 0.0824110i
\(939\) 24.7712 15.9195i 0.808377 0.519512i
\(940\) 0.747388 + 0.862531i 0.0243771 + 0.0281327i
\(941\) −6.97894 + 2.04920i −0.227507 + 0.0668020i −0.393499 0.919325i \(-0.628736\pi\)
0.165992 + 0.986127i \(0.446917\pi\)
\(942\) −51.9418 −1.69236
\(943\) 1.80239 + 27.4556i 0.0586940 + 0.894077i
\(944\) −10.5257 −0.342583
\(945\) 26.2013 7.69339i 0.852328 0.250266i
\(946\) −7.95379 9.17916i −0.258600 0.298440i
\(947\) −19.1117 + 12.2823i −0.621046 + 0.399122i −0.812985 0.582285i \(-0.802159\pi\)
0.191939 + 0.981407i \(0.438522\pi\)
\(948\) 2.08187 + 14.4797i 0.0676161 + 0.470280i
\(949\) −7.32586 4.70805i −0.237808 0.152830i
\(950\) 1.63004 3.56928i 0.0528854 0.115803i
\(951\) −54.4979 + 62.8939i −1.76721 + 2.03947i
\(952\) −0.591299 + 4.11258i −0.0191641 + 0.133289i
\(953\) 10.1217 + 22.1634i 0.327874 + 0.717945i 0.999742 0.0227269i \(-0.00723481\pi\)
−0.671867 + 0.740671i \(0.734508\pi\)
\(954\) −5.97692 1.75498i −0.193510 0.0568196i
\(955\) 21.9244 + 6.43759i 0.709457 + 0.208316i
\(956\) −2.45024 5.36528i −0.0792465 0.173526i
\(957\) 4.69788 32.6745i 0.151861 1.05622i
\(958\) −0.831436 + 0.959528i −0.0268625 + 0.0310010i
\(959\) −7.60552 + 16.6538i −0.245595 + 0.537778i
\(960\) −4.24110 2.72559i −0.136881 0.0879681i
\(961\) −0.178105 1.23875i −0.00574532 0.0399596i
\(962\) −19.4167 + 12.4784i −0.626020 + 0.402318i
\(963\) 44.3810 + 51.2184i 1.43016 + 1.65049i
\(964\) −11.1659 + 3.27860i −0.359629 + 0.105597i
\(965\) 23.1215 0.744306
\(966\) 14.2674 7.68266i 0.459047 0.247186i
\(967\) 24.3273 0.782314 0.391157 0.920324i \(-0.372075\pi\)
0.391157 + 0.920324i \(0.372075\pi\)
\(968\) 9.39341 2.75815i 0.301916 0.0886504i
\(969\) −13.0052 15.0088i −0.417787 0.482152i
\(970\) 8.07609 5.19019i 0.259308 0.166647i
\(971\) −4.70543 32.7270i −0.151004 1.05026i −0.914541 0.404494i \(-0.867448\pi\)
0.763537 0.645765i \(-0.223461\pi\)
\(972\) −57.8154 37.1557i −1.85443 1.19177i
\(973\) −2.96277 + 6.48757i −0.0949821 + 0.207982i
\(974\) −4.06867 + 4.69549i −0.130369 + 0.150453i
\(975\) −3.72000 + 25.8732i −0.119136 + 0.828606i
\(976\) −3.17506 6.95242i −0.101631 0.222541i
\(977\) −11.8305 3.47375i −0.378491 0.111135i 0.0869528 0.996212i \(-0.472287\pi\)
−0.465444 + 0.885077i \(0.654105\pi\)
\(978\) −47.5030 13.9481i −1.51898 0.446012i
\(979\) 3.61501 + 7.91577i 0.115536 + 0.252989i
\(980\) −0.212341 + 1.47686i −0.00678297 + 0.0471766i
\(981\) −70.0254 + 80.8136i −2.23574 + 2.58018i
\(982\) 4.13927 9.06373i 0.132089 0.289235i
\(983\) 8.07249 + 5.18787i 0.257472 + 0.165468i 0.663009 0.748611i \(-0.269279\pi\)
−0.405537 + 0.914079i \(0.632915\pi\)
\(984\) 2.75880 + 19.1879i 0.0879472 + 0.611686i
\(985\) −1.80021 + 1.15692i −0.0573594 + 0.0368626i
\(986\) 24.1653 + 27.8882i 0.769579 + 0.888142i
\(987\) −2.47985 + 0.728148i −0.0789344 + 0.0231772i
\(988\) −3.94541 −0.125520
\(989\) −31.4853 42.5760i −1.00117 1.35384i
\(990\) −13.8140 −0.439037
\(991\) −0.917341 + 0.269356i −0.0291403 + 0.00855637i −0.296270 0.955104i \(-0.595743\pi\)
0.267130 + 0.963661i \(0.413925\pi\)
\(992\) 3.71898 + 4.29193i 0.118078 + 0.136269i
\(993\) 67.2850 43.2414i 2.13522 1.37223i
\(994\) −0.946499 6.58305i −0.0300211 0.208802i
\(995\) 23.3745 + 15.0219i 0.741020 + 0.476225i
\(996\) 15.1212 33.1109i 0.479135 1.04916i
\(997\) 32.7201 37.7611i 1.03626 1.19590i 0.0559486 0.998434i \(-0.482182\pi\)
0.980309 0.197471i \(-0.0632728\pi\)
\(998\) 3.20493 22.2908i 0.101450 0.705602i
\(999\) 62.9184 + 137.772i 1.99065 + 4.35892i
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 322.2.i.c.239.2 yes 20
23.8 even 11 7406.2.a.bp.1.1 10
23.15 odd 22 7406.2.a.bo.1.1 10
23.18 even 11 inner 322.2.i.c.225.2 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.c.225.2 20 23.18 even 11 inner
322.2.i.c.239.2 yes 20 1.1 even 1 trivial
7406.2.a.bo.1.1 10 23.15 odd 22
7406.2.a.bp.1.1 10 23.8 even 11