Properties

Label 490.2.p.a.239.19
Level $490$
Weight $2$
Character 490.239
Analytic conductor $3.913$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [490,2,Mod(29,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.p (of order \(14\), degree \(6\), 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: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 239.19
Character \(\chi\) \(=\) 490.239
Dual form 490.2.p.a.449.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.781831 + 0.623490i) q^{2} +(-0.318558 + 0.661493i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.92448 - 1.13859i) q^{5} +(-0.661493 + 0.318558i) q^{6} +(-2.42890 - 1.04901i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(1.53438 + 1.92405i) q^{9} +O(q^{10})\) \(q+(0.781831 + 0.623490i) q^{2} +(-0.318558 + 0.661493i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.92448 - 1.13859i) q^{5} +(-0.661493 + 0.318558i) q^{6} +(-2.42890 - 1.04901i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(1.53438 + 1.92405i) q^{9} +(-0.794720 - 2.09008i) q^{10} +(-3.47481 + 4.35727i) q^{11} +(-0.715794 - 0.163375i) q^{12} +(-2.13724 - 1.70439i) q^{13} +(-1.24494 - 2.33455i) q^{14} +(1.36623 - 0.910322i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.971162 - 0.221661i) q^{17} +2.46095i q^{18} -3.53291 q^{19} +(0.681805 - 2.12959i) q^{20} +(1.46766 - 1.27253i) q^{21} +(-5.43343 + 1.24015i) q^{22} +(-4.50253 + 1.02767i) q^{23} +(-0.457767 - 0.574022i) q^{24} +(2.40723 + 4.38238i) q^{25} +(-0.608290 - 2.66509i) q^{26} +(-3.90891 + 0.892184i) q^{27} +(0.482230 - 2.60143i) q^{28} +(0.0726888 - 0.318470i) q^{29} +(1.63574 + 0.140110i) q^{30} +7.02091 q^{31} +(-0.974928 - 0.222521i) q^{32} +(-1.77538 - 3.68661i) q^{33} +(-0.621081 - 0.778812i) q^{34} +(3.47998 + 4.78432i) q^{35} +(-1.53438 + 1.92405i) q^{36} +(2.14296 + 0.489117i) q^{37} +(-2.76214 - 2.20273i) q^{38} +(1.80828 - 0.870820i) q^{39} +(1.86083 - 1.23988i) q^{40} +(2.19372 + 1.05644i) q^{41} +(1.94087 - 0.0798325i) q^{42} +(-5.13991 - 10.6731i) q^{43} +(-5.02125 - 2.41810i) q^{44} +(-0.762176 - 5.44981i) q^{45} +(-4.16096 - 2.00381i) q^{46} +(6.06060 + 4.83317i) q^{47} -0.734202i q^{48} +(4.79914 + 5.09590i) q^{49} +(-0.850316 + 4.92717i) q^{50} +(0.455999 - 0.571805i) q^{51} +(1.18608 - 2.46292i) q^{52} +(3.19723 - 0.729746i) q^{53} +(-3.61238 - 1.73963i) q^{54} +(11.6483 - 4.42910i) q^{55} +(1.99899 - 1.73322i) q^{56} +(1.12544 - 2.33699i) q^{57} +(0.255393 - 0.203670i) q^{58} +(-0.581337 + 0.279957i) q^{59} +(1.19151 + 1.12941i) q^{60} +(-0.124372 + 0.544909i) q^{61} +(5.48917 + 4.37747i) q^{62} +(-1.70850 - 6.28290i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(2.17247 + 5.71350i) q^{65} +(0.910517 - 3.98923i) q^{66} +11.4819i q^{67} -0.996137i q^{68} +(0.754518 - 3.30576i) q^{69} +(-0.262220 + 5.91027i) q^{70} +(2.88625 + 12.6455i) q^{71} +(-2.39925 + 0.547612i) q^{72} +(-5.91202 + 4.71468i) q^{73} +(1.37047 + 1.71852i) q^{74} +(-3.66575 + 0.196326i) q^{75} +(-0.786146 - 3.44433i) q^{76} +(13.0108 - 6.93828i) q^{77} +(1.95671 + 0.446607i) q^{78} -13.7392 q^{79} +(2.22791 + 0.190833i) q^{80} +(-0.987795 + 4.32781i) q^{81} +(1.05644 + 2.19372i) q^{82} +(-5.15780 + 4.11321i) q^{83} +(1.56721 + 1.14770i) q^{84} +(1.61660 + 1.53234i) q^{85} +(2.63605 - 11.5493i) q^{86} +(0.187510 + 0.149534i) q^{87} +(-2.41810 - 5.02125i) q^{88} +(-4.20768 - 5.27626i) q^{89} +(2.80201 - 4.73604i) q^{90} +(3.40322 + 6.38179i) q^{91} +(-2.00381 - 4.16096i) q^{92} +(-2.23657 + 4.64428i) q^{93} +(1.72494 + 7.55744i) q^{94} +(6.79901 + 4.02253i) q^{95} +(0.457767 - 0.574022i) q^{96} +1.20324i q^{97} +(0.574879 + 6.97635i) q^{98} -13.7153 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.781831 + 0.623490i 0.552838 + 0.440874i
\(3\) −0.318558 + 0.661493i −0.183920 + 0.381913i −0.972460 0.233070i \(-0.925123\pi\)
0.788540 + 0.614983i \(0.210837\pi\)
\(4\) 0.222521 + 0.974928i 0.111260 + 0.487464i
\(5\) −1.92448 1.13859i −0.860653 0.509192i
\(6\) −0.661493 + 0.318558i −0.270053 + 0.130051i
\(7\) −2.42890 1.04901i −0.918039 0.396490i
\(8\) −0.433884 + 0.900969i −0.153401 + 0.318541i
\(9\) 1.53438 + 1.92405i 0.511459 + 0.641349i
\(10\) −0.794720 2.09008i −0.251312 0.660940i
\(11\) −3.47481 + 4.35727i −1.04769 + 1.31377i −0.0998611 + 0.995001i \(0.531840\pi\)
−0.947833 + 0.318766i \(0.896732\pi\)
\(12\) −0.715794 0.163375i −0.206632 0.0471624i
\(13\) −2.13724 1.70439i −0.592763 0.472713i 0.280572 0.959833i \(-0.409476\pi\)
−0.873335 + 0.487120i \(0.838047\pi\)
\(14\) −1.24494 2.33455i −0.332725 0.623934i
\(15\) 1.36623 0.910322i 0.352758 0.235044i
\(16\) −0.900969 + 0.433884i −0.225242 + 0.108471i
\(17\) −0.971162 0.221661i −0.235541 0.0537608i 0.103121 0.994669i \(-0.467117\pi\)
−0.338662 + 0.940908i \(0.609974\pi\)
\(18\) 2.46095i 0.580051i
\(19\) −3.53291 −0.810505 −0.405253 0.914205i \(-0.632816\pi\)
−0.405253 + 0.914205i \(0.632816\pi\)
\(20\) 0.681805 2.12959i 0.152456 0.476190i
\(21\) 1.46766 1.27253i 0.320270 0.277689i
\(22\) −5.43343 + 1.24015i −1.15841 + 0.264400i
\(23\) −4.50253 + 1.02767i −0.938842 + 0.214284i −0.664449 0.747333i \(-0.731334\pi\)
−0.274392 + 0.961618i \(0.588477\pi\)
\(24\) −0.457767 0.574022i −0.0934413 0.117172i
\(25\) 2.40723 + 4.38238i 0.481447 + 0.876475i
\(26\) −0.608290 2.66509i −0.119295 0.522668i
\(27\) −3.90891 + 0.892184i −0.752270 + 0.171701i
\(28\) 0.482230 2.60143i 0.0911329 0.491625i
\(29\) 0.0726888 0.318470i 0.0134980 0.0591385i −0.967730 0.251988i \(-0.918916\pi\)
0.981228 + 0.192849i \(0.0617729\pi\)
\(30\) 1.63574 + 0.140110i 0.298643 + 0.0255804i
\(31\) 7.02091 1.26099 0.630496 0.776192i \(-0.282851\pi\)
0.630496 + 0.776192i \(0.282851\pi\)
\(32\) −0.974928 0.222521i −0.172345 0.0393365i
\(33\) −1.77538 3.68661i −0.309053 0.641756i
\(34\) −0.621081 0.778812i −0.106515 0.133565i
\(35\) 3.47998 + 4.78432i 0.588224 + 0.808698i
\(36\) −1.53438 + 1.92405i −0.255729 + 0.320674i
\(37\) 2.14296 + 0.489117i 0.352300 + 0.0804103i 0.395009 0.918677i \(-0.370742\pi\)
−0.0427084 + 0.999088i \(0.513599\pi\)
\(38\) −2.76214 2.20273i −0.448078 0.357331i
\(39\) 1.80828 0.870820i 0.289556 0.139443i
\(40\) 1.86083 1.23988i 0.294223 0.196042i
\(41\) 2.19372 + 1.05644i 0.342602 + 0.164989i 0.597270 0.802040i \(-0.296252\pi\)
−0.254668 + 0.967029i \(0.581966\pi\)
\(42\) 1.94087 0.0798325i 0.299483 0.0123184i
\(43\) −5.13991 10.6731i −0.783829 1.62764i −0.778493 0.627653i \(-0.784016\pi\)
−0.00533612 0.999986i \(-0.501699\pi\)
\(44\) −5.02125 2.41810i −0.756981 0.364543i
\(45\) −0.762176 5.44981i −0.113619 0.812409i
\(46\) −4.16096 2.00381i −0.613500 0.295446i
\(47\) 6.06060 + 4.83317i 0.884029 + 0.704990i 0.956297 0.292396i \(-0.0944524\pi\)
−0.0722684 + 0.997385i \(0.523024\pi\)
\(48\) 0.734202i 0.105973i
\(49\) 4.79914 + 5.09590i 0.685592 + 0.727986i
\(50\) −0.850316 + 4.92717i −0.120253 + 0.696806i
\(51\) 0.455999 0.571805i 0.0638526 0.0800687i
\(52\) 1.18608 2.46292i 0.164479 0.341545i
\(53\) 3.19723 0.729746i 0.439173 0.100238i 0.00278321 0.999996i \(-0.499114\pi\)
0.436390 + 0.899758i \(0.356257\pi\)
\(54\) −3.61238 1.73963i −0.491582 0.236734i
\(55\) 11.6483 4.42910i 1.57066 0.597220i
\(56\) 1.99899 1.73322i 0.267126 0.231611i
\(57\) 1.12544 2.33699i 0.149068 0.309542i
\(58\) 0.255393 0.203670i 0.0335348 0.0267431i
\(59\) −0.581337 + 0.279957i −0.0756837 + 0.0364473i −0.471343 0.881950i \(-0.656230\pi\)
0.395659 + 0.918397i \(0.370516\pi\)
\(60\) 1.19151 + 1.12941i 0.153824 + 0.145806i
\(61\) −0.124372 + 0.544909i −0.0159242 + 0.0697684i −0.982266 0.187494i \(-0.939963\pi\)
0.966342 + 0.257263i \(0.0828205\pi\)
\(62\) 5.48917 + 4.37747i 0.697125 + 0.555939i
\(63\) −1.70850 6.28290i −0.215251 0.791571i
\(64\) −0.623490 0.781831i −0.0779362 0.0977289i
\(65\) 2.17247 + 5.71350i 0.269462 + 0.708672i
\(66\) 0.910517 3.98923i 0.112077 0.491041i
\(67\) 11.4819i 1.40274i 0.712799 + 0.701368i \(0.247427\pi\)
−0.712799 + 0.701368i \(0.752573\pi\)
\(68\) 0.996137i 0.120799i
\(69\) 0.754518 3.30576i 0.0908334 0.397967i
\(70\) −0.262220 + 5.91027i −0.0313413 + 0.706412i
\(71\) 2.88625 + 12.6455i 0.342535 + 1.50074i 0.793703 + 0.608305i \(0.208150\pi\)
−0.451168 + 0.892439i \(0.648993\pi\)
\(72\) −2.39925 + 0.547612i −0.282754 + 0.0645367i
\(73\) −5.91202 + 4.71468i −0.691950 + 0.551812i −0.905095 0.425209i \(-0.860201\pi\)
0.213145 + 0.977020i \(0.431629\pi\)
\(74\) 1.37047 + 1.71852i 0.159314 + 0.199774i
\(75\) −3.66575 + 0.196326i −0.423285 + 0.0226698i
\(76\) −0.786146 3.44433i −0.0901772 0.395092i
\(77\) 13.0108 6.93828i 1.48272 0.790690i
\(78\) 1.95671 + 0.446607i 0.221554 + 0.0505683i
\(79\) −13.7392 −1.54579 −0.772893 0.634537i \(-0.781191\pi\)
−0.772893 + 0.634537i \(0.781191\pi\)
\(80\) 2.22791 + 0.190833i 0.249088 + 0.0213357i
\(81\) −0.987795 + 4.32781i −0.109755 + 0.480868i
\(82\) 1.05644 + 2.19372i 0.116665 + 0.242256i
\(83\) −5.15780 + 4.11321i −0.566142 + 0.451483i −0.864260 0.503046i \(-0.832213\pi\)
0.298118 + 0.954529i \(0.403641\pi\)
\(84\) 1.56721 + 1.14770i 0.170997 + 0.125224i
\(85\) 1.61660 + 1.53234i 0.175345 + 0.166205i
\(86\) 2.63605 11.5493i 0.284252 1.24539i
\(87\) 0.187510 + 0.149534i 0.0201032 + 0.0160318i
\(88\) −2.41810 5.02125i −0.257771 0.535267i
\(89\) −4.20768 5.27626i −0.446013 0.559283i 0.507104 0.861885i \(-0.330716\pi\)
−0.953117 + 0.302602i \(0.902145\pi\)
\(90\) 2.80201 4.73604i 0.295357 0.499223i
\(91\) 3.40322 + 6.38179i 0.356754 + 0.668993i
\(92\) −2.00381 4.16096i −0.208912 0.433810i
\(93\) −2.23657 + 4.64428i −0.231921 + 0.481590i
\(94\) 1.72494 + 7.55744i 0.177914 + 0.779491i
\(95\) 6.79901 + 4.02253i 0.697564 + 0.412703i
\(96\) 0.457767 0.574022i 0.0467207 0.0585859i
\(97\) 1.20324i 0.122170i 0.998133 + 0.0610852i \(0.0194561\pi\)
−0.998133 + 0.0610852i \(0.980544\pi\)
\(98\) 0.574879 + 6.97635i 0.0580715 + 0.704718i
\(99\) −13.7153 −1.37844
\(100\) −3.73684 + 3.32205i −0.373684 + 0.332205i
\(101\) 7.98767 + 3.84666i 0.794803 + 0.382757i 0.786798 0.617211i \(-0.211737\pi\)
0.00800550 + 0.999968i \(0.497452\pi\)
\(102\) 0.713029 0.162744i 0.0706004 0.0161141i
\(103\) 3.09553 6.42793i 0.305011 0.633362i −0.690974 0.722880i \(-0.742818\pi\)
0.995985 + 0.0895172i \(0.0285324\pi\)
\(104\) 2.46292 1.18608i 0.241509 0.116304i
\(105\) −4.27337 + 0.777895i −0.417038 + 0.0759148i
\(106\) 2.95468 + 1.42290i 0.286984 + 0.138204i
\(107\) 13.3179 10.6207i 1.28749 1.02674i 0.289921 0.957051i \(-0.406371\pi\)
0.997569 0.0696878i \(-0.0222003\pi\)
\(108\) −1.73963 3.61238i −0.167396 0.347601i
\(109\) 2.64430 3.31585i 0.253278 0.317601i −0.638895 0.769294i \(-0.720608\pi\)
0.892173 + 0.451693i \(0.149180\pi\)
\(110\) 11.8685 + 3.79981i 1.13162 + 0.362298i
\(111\) −1.00620 + 1.26174i −0.0955047 + 0.119759i
\(112\) 2.64352 0.108734i 0.249789 0.0102744i
\(113\) −3.48764 + 2.78130i −0.328089 + 0.261642i −0.773655 0.633607i \(-0.781574\pi\)
0.445566 + 0.895249i \(0.353002\pi\)
\(114\) 2.33699 1.12544i 0.218880 0.105407i
\(115\) 9.83511 + 3.14879i 0.917129 + 0.293626i
\(116\) 0.326661 0.0303297
\(117\) 6.72732i 0.621941i
\(118\) −0.629058 0.143578i −0.0579095 0.0132175i
\(119\) 2.12633 + 1.55716i 0.194921 + 0.142744i
\(120\) 0.227388 + 1.62590i 0.0207576 + 0.148424i
\(121\) −4.46380 19.5572i −0.405800 1.77793i
\(122\) −0.436983 + 0.348482i −0.0395626 + 0.0315501i
\(123\) −1.39766 + 1.11459i −0.126023 + 0.100500i
\(124\) 1.56230 + 6.84488i 0.140299 + 0.614689i
\(125\) 0.357054 11.1746i 0.0319359 0.999490i
\(126\) 2.58157 5.97741i 0.229984 0.532510i
\(127\) 4.61924 + 1.05431i 0.409891 + 0.0935550i 0.422494 0.906366i \(-0.361155\pi\)
−0.0126030 + 0.999921i \(0.504012\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 8.69757 0.765778
\(130\) −1.86380 + 5.82150i −0.163466 + 0.510580i
\(131\) −17.7798 + 8.56230i −1.55343 + 0.748092i −0.996589 0.0825276i \(-0.973701\pi\)
−0.556840 + 0.830620i \(0.687986\pi\)
\(132\) 3.19912 2.55121i 0.278447 0.222054i
\(133\) 8.58110 + 3.70607i 0.744075 + 0.321357i
\(134\) −7.15884 + 8.97690i −0.618430 + 0.775486i
\(135\) 8.53845 + 2.73365i 0.734872 + 0.235275i
\(136\) 0.621081 0.778812i 0.0532573 0.0667825i
\(137\) 8.94033 + 18.5648i 0.763824 + 1.58610i 0.809486 + 0.587140i \(0.199746\pi\)
−0.0456618 + 0.998957i \(0.514540\pi\)
\(138\) 2.65101 2.11411i 0.225669 0.179965i
\(139\) −11.7561 5.66142i −0.997136 0.480195i −0.137170 0.990547i \(-0.543801\pi\)
−0.859966 + 0.510352i \(0.829515\pi\)
\(140\) −3.89000 + 4.45734i −0.328765 + 0.376714i
\(141\) −5.12776 + 2.46940i −0.431835 + 0.207961i
\(142\) −5.62777 + 11.6862i −0.472272 + 0.980684i
\(143\) 14.8530 3.39010i 1.24207 0.283494i
\(144\) −2.21724 1.06777i −0.184770 0.0889804i
\(145\) −0.502495 + 0.530127i −0.0417299 + 0.0440246i
\(146\) −7.56176 −0.625816
\(147\) −4.89971 + 1.55126i −0.404121 + 0.127946i
\(148\) 2.19807i 0.180680i
\(149\) 9.93720 12.4609i 0.814087 1.02083i −0.185186 0.982704i \(-0.559289\pi\)
0.999273 0.0381294i \(-0.0121399\pi\)
\(150\) −2.98841 2.13207i −0.244003 0.174083i
\(151\) 0.536607 + 2.35103i 0.0436684 + 0.191324i 0.992058 0.125785i \(-0.0401450\pi\)
−0.948389 + 0.317109i \(0.897288\pi\)
\(152\) 1.53287 3.18304i 0.124332 0.258179i
\(153\) −1.06364 2.20867i −0.0859903 0.178561i
\(154\) 14.4982 + 2.68755i 1.16830 + 0.216569i
\(155\) −13.5116 7.99393i −1.08528 0.642088i
\(156\) 1.25137 + 1.56916i 0.100189 + 0.125634i
\(157\) −5.02227 10.4288i −0.400821 0.832313i −0.999509 0.0313307i \(-0.990025\pi\)
0.598688 0.800982i \(-0.295689\pi\)
\(158\) −10.7418 8.56628i −0.854569 0.681496i
\(159\) −0.535781 + 2.34741i −0.0424902 + 0.186162i
\(160\) 1.62287 + 1.53828i 0.128299 + 0.121612i
\(161\) 12.0142 + 2.22709i 0.946855 + 0.175519i
\(162\) −3.47064 + 2.76774i −0.272679 + 0.217454i
\(163\) −1.57814 3.27704i −0.123609 0.256677i 0.829977 0.557798i \(-0.188354\pi\)
−0.953586 + 0.301121i \(0.902639\pi\)
\(164\) −0.541805 + 2.37380i −0.0423079 + 0.185363i
\(165\) −0.780854 + 9.11622i −0.0607894 + 0.709696i
\(166\) −6.59707 −0.512032
\(167\) −12.2720 2.80101i −0.949639 0.216749i −0.280473 0.959862i \(-0.590491\pi\)
−0.669166 + 0.743113i \(0.733348\pi\)
\(168\) 0.509716 + 1.87445i 0.0393254 + 0.144617i
\(169\) −1.22993 5.38869i −0.0946102 0.414514i
\(170\) 0.308512 + 2.20596i 0.0236618 + 0.169190i
\(171\) −5.42081 6.79748i −0.414540 0.519817i
\(172\) 9.26180 7.38604i 0.706206 0.563180i
\(173\) −21.1193 + 4.82034i −1.60567 + 0.366484i −0.929081 0.369876i \(-0.879400\pi\)
−0.676590 + 0.736360i \(0.736543\pi\)
\(174\) 0.0533682 + 0.233822i 0.00404584 + 0.0177260i
\(175\) −1.24977 13.1696i −0.0944736 0.995527i
\(176\) 1.24015 5.43343i 0.0934795 0.409560i
\(177\) 0.473733i 0.0356080i
\(178\) 6.74859i 0.505828i
\(179\) −3.99919 + 17.5216i −0.298914 + 1.30963i 0.572834 + 0.819671i \(0.305844\pi\)
−0.871748 + 0.489955i \(0.837013\pi\)
\(180\) 5.14357 1.95576i 0.383379 0.145774i
\(181\) −1.27232 1.59544i −0.0945710 0.118588i 0.732294 0.680988i \(-0.238450\pi\)
−0.826865 + 0.562400i \(0.809878\pi\)
\(182\) −1.31824 + 7.11136i −0.0977144 + 0.527129i
\(183\) −0.320833 0.255856i −0.0237167 0.0189134i
\(184\) 1.02767 4.50253i 0.0757610 0.331931i
\(185\) −3.56718 3.38124i −0.262264 0.248594i
\(186\) −4.64428 + 2.23657i −0.340535 + 0.163993i
\(187\) 4.34044 3.46139i 0.317405 0.253122i
\(188\) −3.36338 + 6.98413i −0.245300 + 0.509370i
\(189\) 10.4303 + 1.93347i 0.758691 + 0.140639i
\(190\) 2.80767 + 7.38405i 0.203690 + 0.535696i
\(191\) 11.3263 + 5.45447i 0.819544 + 0.394671i 0.796183 0.605056i \(-0.206849\pi\)
0.0233605 + 0.999727i \(0.492563\pi\)
\(192\) 0.715794 0.163375i 0.0516580 0.0117906i
\(193\) 6.75854 14.0343i 0.486491 1.01021i −0.502821 0.864391i \(-0.667704\pi\)
0.989311 0.145818i \(-0.0465813\pi\)
\(194\) −0.750207 + 0.940730i −0.0538617 + 0.0675405i
\(195\) −4.47149 0.383008i −0.320210 0.0274278i
\(196\) −3.90023 + 5.81276i −0.278588 + 0.415197i
\(197\) 14.1634i 1.00910i 0.863383 + 0.504549i \(0.168341\pi\)
−0.863383 + 0.504549i \(0.831659\pi\)
\(198\) −10.7230 8.55133i −0.762052 0.607716i
\(199\) 14.5565 + 7.01003i 1.03188 + 0.496928i 0.871638 0.490150i \(-0.163058\pi\)
0.160243 + 0.987078i \(0.448772\pi\)
\(200\) −4.99284 + 0.267401i −0.353047 + 0.0189081i
\(201\) −7.59519 3.65765i −0.535723 0.257991i
\(202\) 3.84666 + 7.98767i 0.270650 + 0.562011i
\(203\) −0.510634 + 0.697283i −0.0358395 + 0.0489396i
\(204\) 0.658938 + 0.317328i 0.0461349 + 0.0222174i
\(205\) −3.01892 4.53085i −0.210851 0.316448i
\(206\) 6.42793 3.09553i 0.447855 0.215676i
\(207\) −8.88586 7.08623i −0.617610 0.492527i
\(208\) 2.66509 + 0.608290i 0.184791 + 0.0421773i
\(209\) 12.2762 15.3939i 0.849162 1.06482i
\(210\) −3.82607 2.05622i −0.264024 0.141893i
\(211\) 2.88431 + 3.61680i 0.198564 + 0.248991i 0.871138 0.491039i \(-0.163383\pi\)
−0.672574 + 0.740030i \(0.734811\pi\)
\(212\) 1.42290 + 2.95468i 0.0977252 + 0.202928i
\(213\) −9.28434 2.11909i −0.636153 0.145198i
\(214\) 17.0342 1.16444
\(215\) −2.26066 + 26.3925i −0.154176 + 1.79995i
\(216\) 0.892184 3.90891i 0.0607054 0.265968i
\(217\) −17.0531 7.36503i −1.15764 0.499971i
\(218\) 4.13479 0.943740i 0.280044 0.0639181i
\(219\) −1.23540 5.41266i −0.0834809 0.365754i
\(220\) 6.91005 + 10.3707i 0.465876 + 0.699194i
\(221\) 1.69781 + 2.12898i 0.114207 + 0.143211i
\(222\) −1.57336 + 0.359110i −0.105597 + 0.0241019i
\(223\) −23.4006 + 5.34103i −1.56702 + 0.357662i −0.915929 0.401340i \(-0.868545\pi\)
−0.651089 + 0.759002i \(0.725687\pi\)
\(224\) 2.13458 + 1.56319i 0.142623 + 0.104445i
\(225\) −4.73830 + 11.3558i −0.315886 + 0.757056i
\(226\) −4.46085 −0.296732
\(227\) 21.5391i 1.42960i 0.699328 + 0.714801i \(0.253483\pi\)
−0.699328 + 0.714801i \(0.746517\pi\)
\(228\) 2.52883 + 0.577190i 0.167476 + 0.0382253i
\(229\) 10.1103 4.86886i 0.668107 0.321743i −0.0689047 0.997623i \(-0.521950\pi\)
0.737012 + 0.675880i \(0.236236\pi\)
\(230\) 5.72616 + 8.59391i 0.377572 + 0.566666i
\(231\) 0.444919 + 10.8168i 0.0292735 + 0.711693i
\(232\) 0.255393 + 0.203670i 0.0167674 + 0.0133716i
\(233\) 0.641823 + 0.146492i 0.0420472 + 0.00959700i 0.243493 0.969903i \(-0.421707\pi\)
−0.201446 + 0.979500i \(0.564564\pi\)
\(234\) 4.19442 5.25963i 0.274198 0.343833i
\(235\) −6.16050 16.2018i −0.401867 1.05689i
\(236\) −0.402298 0.504466i −0.0261874 0.0328379i
\(237\) 4.37675 9.08841i 0.284300 0.590356i
\(238\) 0.691564 + 2.54318i 0.0448274 + 0.164850i
\(239\) −15.7636 + 7.59135i −1.01966 + 0.491043i −0.867566 0.497322i \(-0.834317\pi\)
−0.152096 + 0.988366i \(0.548602\pi\)
\(240\) −0.835953 + 1.41296i −0.0539606 + 0.0912059i
\(241\) −5.93920 26.0213i −0.382578 1.67618i −0.689373 0.724406i \(-0.742114\pi\)
0.306796 0.951775i \(-0.400743\pi\)
\(242\) 8.70377 18.0736i 0.559499 1.16181i
\(243\) −11.9523 9.53161i −0.766738 0.611453i
\(244\) −0.558922 −0.0357813
\(245\) −3.43371 15.2712i −0.219372 0.975641i
\(246\) −1.78767 −0.113978
\(247\) 7.55067 + 6.02146i 0.480438 + 0.383136i
\(248\) −3.04626 + 6.32562i −0.193438 + 0.401677i
\(249\) −1.07780 4.72214i −0.0683027 0.299254i
\(250\) 7.24643 8.51406i 0.458304 0.538477i
\(251\) −1.14245 + 0.550173i −0.0721106 + 0.0347266i −0.469591 0.882884i \(-0.655599\pi\)
0.397481 + 0.917610i \(0.369885\pi\)
\(252\) 5.74520 3.06374i 0.361914 0.192998i
\(253\) 11.1676 23.1897i 0.702099 1.45792i
\(254\) 2.95412 + 3.70434i 0.185358 + 0.232431i
\(255\) −1.52861 + 0.581231i −0.0957253 + 0.0363981i
\(256\) 0.623490 0.781831i 0.0389681 0.0488645i
\(257\) −11.7935 2.69179i −0.735659 0.167909i −0.161754 0.986831i \(-0.551715\pi\)
−0.573905 + 0.818922i \(0.694572\pi\)
\(258\) 6.80003 + 5.42284i 0.423351 + 0.337612i
\(259\) −4.69195 3.43601i −0.291544 0.213503i
\(260\) −5.08683 + 3.38937i −0.315472 + 0.210200i
\(261\) 0.724284 0.348797i 0.0448321 0.0215900i
\(262\) −19.2393 4.39125i −1.18861 0.271292i
\(263\) 11.9861i 0.739094i 0.929212 + 0.369547i \(0.120487\pi\)
−0.929212 + 0.369547i \(0.879513\pi\)
\(264\) 4.09182 0.251834
\(265\) −6.98387 2.23594i −0.429016 0.137353i
\(266\) 4.39828 + 8.24775i 0.269676 + 0.505702i
\(267\) 4.83060 1.10255i 0.295628 0.0674751i
\(268\) −11.1940 + 2.55496i −0.683783 + 0.156069i
\(269\) −2.74381 3.44063i −0.167293 0.209779i 0.691117 0.722743i \(-0.257119\pi\)
−0.858410 + 0.512964i \(0.828547\pi\)
\(270\) 4.97122 + 7.46089i 0.302539 + 0.454055i
\(271\) −2.23917 9.81044i −0.136020 0.595942i −0.996287 0.0860978i \(-0.972560\pi\)
0.860267 0.509844i \(-0.170297\pi\)
\(272\) 0.971162 0.221661i 0.0588854 0.0134402i
\(273\) −5.30563 + 0.218232i −0.321111 + 0.0132080i
\(274\) −4.58512 + 20.0887i −0.276997 + 1.21360i
\(275\) −27.4599 4.73895i −1.65589 0.285769i
\(276\) 3.39078 0.204101
\(277\) −10.5667 2.41177i −0.634889 0.144909i −0.107050 0.994254i \(-0.534140\pi\)
−0.527839 + 0.849344i \(0.676998\pi\)
\(278\) −5.66142 11.7561i −0.339549 0.705082i
\(279\) 10.7727 + 13.5086i 0.644946 + 0.808736i
\(280\) −5.82043 + 1.05951i −0.347837 + 0.0633179i
\(281\) 11.4649 14.3765i 0.683937 0.857630i −0.311773 0.950157i \(-0.600923\pi\)
0.995710 + 0.0925264i \(0.0294942\pi\)
\(282\) −5.54869 1.26645i −0.330419 0.0754161i
\(283\) 18.5947 + 14.8288i 1.10534 + 0.881479i 0.993678 0.112267i \(-0.0358112\pi\)
0.111662 + 0.993746i \(0.464383\pi\)
\(284\) −11.6862 + 5.62777i −0.693448 + 0.333947i
\(285\) −4.82675 + 3.21609i −0.285912 + 0.190504i
\(286\) 13.7262 + 6.61020i 0.811649 + 0.390869i
\(287\) −4.22012 4.86724i −0.249106 0.287304i
\(288\) −1.06777 2.21724i −0.0629187 0.130652i
\(289\) −14.4224 6.94549i −0.848379 0.408558i
\(290\) −0.723395 + 0.101170i −0.0424792 + 0.00594088i
\(291\) −0.795934 0.383301i −0.0466585 0.0224695i
\(292\) −5.91202 4.71468i −0.345975 0.275906i
\(293\) 14.5703i 0.851206i −0.904910 0.425603i \(-0.860062\pi\)
0.904910 0.425603i \(-0.139938\pi\)
\(294\) −4.79794 1.84210i −0.279822 0.107433i
\(295\) 1.43753 + 0.123132i 0.0836961 + 0.00716903i
\(296\) −1.37047 + 1.71852i −0.0796572 + 0.0998870i
\(297\) 9.69524 20.1324i 0.562575 1.16820i
\(298\) 15.5384 3.54655i 0.900117 0.205446i
\(299\) 11.3745 + 5.47768i 0.657806 + 0.316783i
\(300\) −1.00711 3.53016i −0.0581456 0.203814i
\(301\) 1.28809 + 31.3159i 0.0742444 + 1.80502i
\(302\) −1.04631 + 2.17268i −0.0602081 + 0.125023i
\(303\) −5.08908 + 4.05840i −0.292360 + 0.233149i
\(304\) 3.18304 1.53287i 0.182560 0.0879163i
\(305\) 0.859777 0.907056i 0.0492307 0.0519379i
\(306\) 0.545497 2.38998i 0.0311840 0.136626i
\(307\) 12.3215 + 9.82611i 0.703228 + 0.560806i 0.908493 0.417901i \(-0.137234\pi\)
−0.205265 + 0.978706i \(0.565806\pi\)
\(308\) 9.65950 + 11.1407i 0.550401 + 0.634800i
\(309\) 3.26592 + 4.09534i 0.185792 + 0.232976i
\(310\) −5.57966 14.6742i −0.316903 0.833441i
\(311\) 2.43411 10.6645i 0.138025 0.604729i −0.857842 0.513913i \(-0.828195\pi\)
0.995868 0.0908160i \(-0.0289475\pi\)
\(312\) 2.00704i 0.113626i
\(313\) 34.0182i 1.92282i 0.275118 + 0.961410i \(0.411283\pi\)
−0.275118 + 0.961410i \(0.588717\pi\)
\(314\) 2.57571 11.2849i 0.145356 0.636846i
\(315\) −3.86567 + 14.0366i −0.217806 + 0.790872i
\(316\) −3.05727 13.3948i −0.171985 0.753515i
\(317\) −6.33973 + 1.44700i −0.356074 + 0.0812717i −0.396816 0.917898i \(-0.629885\pi\)
0.0407419 + 0.999170i \(0.487028\pi\)
\(318\) −1.88248 + 1.50122i −0.105564 + 0.0841845i
\(319\) 1.13508 + 1.42335i 0.0635525 + 0.0796923i
\(320\) 0.309708 + 2.21452i 0.0173132 + 0.123795i
\(321\) 2.78297 + 12.1930i 0.155330 + 0.680546i
\(322\) 8.00454 + 9.23197i 0.446076 + 0.514477i
\(323\) 3.43103 + 0.783110i 0.190908 + 0.0435734i
\(324\) −4.43911 −0.246617
\(325\) 2.32445 13.4690i 0.128937 0.747128i
\(326\) 0.809361 3.54604i 0.0448264 0.196397i
\(327\) 1.35105 + 2.80548i 0.0747130 + 0.155143i
\(328\) −1.90364 + 1.51810i −0.105111 + 0.0838233i
\(329\) −9.65055 18.0969i −0.532052 0.997717i
\(330\) −6.29436 + 6.64049i −0.346493 + 0.365547i
\(331\) 0.755093 3.30828i 0.0415036 0.181839i −0.949927 0.312471i \(-0.898843\pi\)
0.991431 + 0.130632i \(0.0417005\pi\)
\(332\) −5.15780 4.11321i −0.283071 0.225742i
\(333\) 2.34702 + 4.87364i 0.128616 + 0.267074i
\(334\) −7.84826 9.84141i −0.429438 0.538498i
\(335\) 13.0731 22.0967i 0.714262 1.20727i
\(336\) −0.770187 + 1.78330i −0.0420171 + 0.0972872i
\(337\) 5.86174 + 12.1720i 0.319309 + 0.663052i 0.997411 0.0719161i \(-0.0229114\pi\)
−0.678102 + 0.734968i \(0.737197\pi\)
\(338\) 2.39819 4.97990i 0.130444 0.270871i
\(339\) −0.728793 3.19305i −0.0395826 0.173423i
\(340\) −1.13419 + 1.91704i −0.0615101 + 0.103966i
\(341\) −24.3963 + 30.5920i −1.32114 + 1.65665i
\(342\) 8.69431i 0.470134i
\(343\) −6.31099 17.4118i −0.340761 0.940150i
\(344\) 11.8463 0.638709
\(345\) −5.21596 + 5.50278i −0.280818 + 0.296260i
\(346\) −19.5172 9.39897i −1.04925 0.505292i
\(347\) −35.1717 + 8.02772i −1.88812 + 0.430951i −0.999610 0.0279117i \(-0.991114\pi\)
−0.888507 + 0.458862i \(0.848257\pi\)
\(348\) −0.104060 + 0.216084i −0.00557822 + 0.0115833i
\(349\) −1.49839 + 0.721586i −0.0802069 + 0.0386256i −0.473557 0.880763i \(-0.657030\pi\)
0.393350 + 0.919389i \(0.371316\pi\)
\(350\) 7.23400 11.0756i 0.386673 0.592017i
\(351\) 9.87490 + 4.75550i 0.527083 + 0.253830i
\(352\) 4.35727 3.47481i 0.232243 0.185208i
\(353\) 12.5079 + 25.9729i 0.665728 + 1.38240i 0.910782 + 0.412888i \(0.135480\pi\)
−0.245054 + 0.969509i \(0.578806\pi\)
\(354\) 0.295368 0.370380i 0.0156986 0.0196855i
\(355\) 8.84348 27.6222i 0.469363 1.46604i
\(356\) 4.20768 5.27626i 0.223007 0.279641i
\(357\) −1.70741 + 0.910509i −0.0903656 + 0.0481893i
\(358\) −14.0512 + 11.2055i −0.742631 + 0.592229i
\(359\) 8.52407 4.10498i 0.449883 0.216652i −0.195202 0.980763i \(-0.562536\pi\)
0.645085 + 0.764111i \(0.276822\pi\)
\(360\) 5.24080 + 1.67789i 0.276215 + 0.0884324i
\(361\) −6.51855 −0.343081
\(362\) 2.04065i 0.107254i
\(363\) 14.3589 + 3.27733i 0.753648 + 0.172015i
\(364\) −5.46450 + 4.73797i −0.286418 + 0.248337i
\(365\) 16.7456 2.34194i 0.876507 0.122583i
\(366\) −0.0913140 0.400073i −0.00477306 0.0209121i
\(367\) −12.0361 + 9.59847i −0.628280 + 0.501036i −0.885087 0.465426i \(-0.845901\pi\)
0.256807 + 0.966463i \(0.417330\pi\)
\(368\) 3.61075 2.87947i 0.188223 0.150103i
\(369\) 1.33335 + 5.84181i 0.0694117 + 0.304112i
\(370\) −0.680761 4.86766i −0.0353911 0.253058i
\(371\) −8.53127 1.58145i −0.442921 0.0821048i
\(372\) −5.02552 1.14704i −0.260561 0.0594714i
\(373\) 1.31118i 0.0678902i −0.999424 0.0339451i \(-0.989193\pi\)
0.999424 0.0339451i \(-0.0108071\pi\)
\(374\) 5.55164 0.287068
\(375\) 7.27820 + 3.79596i 0.375845 + 0.196023i
\(376\) −6.98413 + 3.36338i −0.360179 + 0.173453i
\(377\) −0.698151 + 0.556757i −0.0359566 + 0.0286744i
\(378\) 6.94922 + 8.01482i 0.357429 + 0.412238i
\(379\) 0.241043 0.302259i 0.0123816 0.0155260i −0.775602 0.631222i \(-0.782554\pi\)
0.787984 + 0.615696i \(0.211125\pi\)
\(380\) −2.40875 + 7.52364i −0.123567 + 0.385955i
\(381\) −2.16892 + 2.71973i −0.111117 + 0.139336i
\(382\) 5.45447 + 11.3263i 0.279075 + 0.579505i
\(383\) 9.54114 7.60881i 0.487530 0.388792i −0.348645 0.937255i \(-0.613358\pi\)
0.836175 + 0.548463i \(0.184787\pi\)
\(384\) 0.661493 + 0.318558i 0.0337567 + 0.0162564i
\(385\) −32.9389 1.46140i −1.67872 0.0744797i
\(386\) 14.0343 6.75854i 0.714325 0.344001i
\(387\) 12.6491 26.2660i 0.642988 1.33518i
\(388\) −1.17307 + 0.267746i −0.0595537 + 0.0135927i
\(389\) −8.22592 3.96140i −0.417071 0.200851i 0.213566 0.976929i \(-0.431492\pi\)
−0.630637 + 0.776078i \(0.717206\pi\)
\(390\) −3.25715 3.08738i −0.164932 0.156336i
\(391\) 4.60048 0.232656
\(392\) −6.67352 + 2.11285i −0.337064 + 0.106715i
\(393\) 14.4888i 0.730864i
\(394\) −8.83072 + 11.0734i −0.444885 + 0.557868i
\(395\) 26.4409 + 15.6433i 1.33038 + 0.787102i
\(396\) −3.05193 13.3714i −0.153365 0.671938i
\(397\) −15.0558 + 31.2637i −0.755630 + 1.56908i 0.0651757 + 0.997874i \(0.479239\pi\)
−0.820806 + 0.571208i \(0.806475\pi\)
\(398\) 7.01003 + 14.5565i 0.351381 + 0.729650i
\(399\) −5.18512 + 4.49574i −0.259580 + 0.225068i
\(400\) −4.07028 2.90393i −0.203514 0.145196i
\(401\) 16.8312 + 21.1056i 0.840509 + 1.05396i 0.997792 + 0.0664112i \(0.0211549\pi\)
−0.157284 + 0.987553i \(0.550274\pi\)
\(402\) −3.65765 7.59519i −0.182427 0.378814i
\(403\) −15.0054 11.9664i −0.747470 0.596088i
\(404\) −1.97279 + 8.64337i −0.0981501 + 0.430024i
\(405\) 6.82859 7.20409i 0.339315 0.357974i
\(406\) −0.833978 + 0.226783i −0.0413896 + 0.0112550i
\(407\) −9.57759 + 7.63788i −0.474744 + 0.378595i
\(408\) 0.317328 + 0.658938i 0.0157101 + 0.0326223i
\(409\) −3.32269 + 14.5577i −0.164297 + 0.719830i 0.823912 + 0.566717i \(0.191787\pi\)
−0.988209 + 0.153113i \(0.951070\pi\)
\(410\) 0.464649 5.42463i 0.0229474 0.267903i
\(411\) −15.1285 −0.746233
\(412\) 6.95558 + 1.58757i 0.342677 + 0.0782138i
\(413\) 1.70569 0.0701589i 0.0839316 0.00345229i
\(414\) −2.52905 11.0805i −0.124296 0.544576i
\(415\) 14.6093 2.04317i 0.717143 0.100295i
\(416\) 1.70439 + 2.13724i 0.0835646 + 0.104787i
\(417\) 7.48998 5.97306i 0.366786 0.292502i
\(418\) 19.1958 4.38132i 0.938898 0.214297i
\(419\) −6.39120 28.0017i −0.312231 1.36797i −0.850844 0.525418i \(-0.823909\pi\)
0.538614 0.842553i \(-0.318948\pi\)
\(420\) −1.70931 3.99313i −0.0834056 0.194845i
\(421\) 1.28779 5.64216i 0.0627629 0.274982i −0.933803 0.357788i \(-0.883531\pi\)
0.996566 + 0.0828060i \(0.0263882\pi\)
\(422\) 4.62607i 0.225193i
\(423\) 19.0768i 0.927544i
\(424\) −0.729746 + 3.19723i −0.0354396 + 0.155271i
\(425\) −1.36641 4.78959i −0.0662806 0.232329i
\(426\) −5.93756 7.44546i −0.287676 0.360734i
\(427\) 0.873703 1.19306i 0.0422815 0.0577363i
\(428\) 13.3179 + 10.6207i 0.643745 + 0.513369i
\(429\) −2.48902 + 10.9051i −0.120171 + 0.526503i
\(430\) −18.2229 + 19.2250i −0.878786 + 0.927110i
\(431\) −11.8875 + 5.72472i −0.572601 + 0.275750i −0.697695 0.716395i \(-0.745791\pi\)
0.125094 + 0.992145i \(0.460077\pi\)
\(432\) 3.13470 2.49984i 0.150819 0.120274i
\(433\) 7.67806 15.9436i 0.368984 0.766203i −0.630970 0.775807i \(-0.717343\pi\)
0.999954 + 0.00960436i \(0.00305721\pi\)
\(434\) −8.74064 16.3907i −0.419564 0.786777i
\(435\) −0.190601 0.501273i −0.00913863 0.0240342i
\(436\) 3.82112 + 1.84016i 0.182999 + 0.0881275i
\(437\) 15.9070 3.63067i 0.760936 0.173679i
\(438\) 2.40886 5.00205i 0.115100 0.239007i
\(439\) 11.5293 14.4572i 0.550262 0.690007i −0.426462 0.904505i \(-0.640240\pi\)
0.976724 + 0.214499i \(0.0688117\pi\)
\(440\) −1.06354 + 12.4165i −0.0507024 + 0.591934i
\(441\) −2.44106 + 17.0528i −0.116241 + 0.812038i
\(442\) 2.72307i 0.129523i
\(443\) 5.39594 + 4.30312i 0.256369 + 0.204447i 0.743237 0.669028i \(-0.233289\pi\)
−0.486868 + 0.873475i \(0.661861\pi\)
\(444\) −1.45401 0.700213i −0.0690041 0.0332306i
\(445\) 2.09010 + 14.9449i 0.0990801 + 0.708455i
\(446\) −21.6254 10.4142i −1.02399 0.493128i
\(447\) 5.07719 + 10.5429i 0.240143 + 0.498662i
\(448\) 0.694245 + 2.55304i 0.0328000 + 0.120620i
\(449\) 18.7931 + 9.05029i 0.886902 + 0.427109i 0.821141 0.570726i \(-0.193338\pi\)
0.0657612 + 0.997835i \(0.479052\pi\)
\(450\) −10.7848 + 5.92408i −0.508400 + 0.279264i
\(451\) −12.2260 + 5.88772i −0.575699 + 0.277242i
\(452\) −3.48764 2.78130i −0.164045 0.130821i
\(453\) −1.72613 0.393977i −0.0811006 0.0185107i
\(454\) −13.4294 + 16.8400i −0.630274 + 0.790339i
\(455\) 0.716813 16.1565i 0.0336047 0.757427i
\(456\) 1.61725 + 2.02797i 0.0757347 + 0.0949683i
\(457\) 5.54637 + 11.5172i 0.259448 + 0.538750i 0.989481 0.144662i \(-0.0462095\pi\)
−0.730033 + 0.683412i \(0.760495\pi\)
\(458\) 10.9402 + 2.49704i 0.511204 + 0.116679i
\(459\) 3.99395 0.186422
\(460\) −0.881326 + 10.2892i −0.0410920 + 0.479736i
\(461\) −7.74721 + 33.9428i −0.360824 + 1.58087i 0.390285 + 0.920694i \(0.372376\pi\)
−0.751109 + 0.660178i \(0.770481\pi\)
\(462\) −6.39631 + 8.73432i −0.297583 + 0.406357i
\(463\) 34.7031 7.92075i 1.61279 0.368108i 0.681336 0.731971i \(-0.261399\pi\)
0.931453 + 0.363863i \(0.118542\pi\)
\(464\) 0.0726888 + 0.318470i 0.00337449 + 0.0147846i
\(465\) 9.59215 6.39129i 0.444825 0.296389i
\(466\) 0.410461 + 0.514702i 0.0190142 + 0.0238431i
\(467\) 25.3071 5.77619i 1.17107 0.267290i 0.407620 0.913152i \(-0.366359\pi\)
0.763454 + 0.645862i \(0.223502\pi\)
\(468\) 6.55865 1.49697i 0.303174 0.0691975i
\(469\) 12.0447 27.8884i 0.556170 1.28777i
\(470\) 5.28521 16.5081i 0.243789 0.761463i
\(471\) 8.49849 0.391590
\(472\) 0.645236i 0.0296994i
\(473\) 64.3660 + 14.6911i 2.95955 + 0.675499i
\(474\) 9.08841 4.37675i 0.417444 0.201031i
\(475\) −8.50454 15.4825i −0.390215 0.710388i
\(476\) −1.04496 + 2.41952i −0.0478957 + 0.110899i
\(477\) 6.30981 + 5.03191i 0.288907 + 0.230395i
\(478\) −17.0576 3.89329i −0.780197 0.178075i
\(479\) −19.8143 + 24.8463i −0.905338 + 1.13526i 0.0849719 + 0.996383i \(0.472920\pi\)
−0.990310 + 0.138875i \(0.955651\pi\)
\(480\) −1.53454 + 0.583484i −0.0700417 + 0.0266323i
\(481\) −3.74637 4.69780i −0.170820 0.214201i
\(482\) 11.5806 24.0473i 0.527481 1.09533i
\(483\) −5.30044 + 7.23788i −0.241178 + 0.329335i
\(484\) 18.0736 8.70377i 0.821525 0.395626i
\(485\) 1.36999 2.31561i 0.0622082 0.105146i
\(486\) −3.40179 14.9042i −0.154308 0.676069i
\(487\) 16.3565 33.9647i 0.741186 1.53909i −0.0979659 0.995190i \(-0.531234\pi\)
0.839151 0.543898i \(-0.183052\pi\)
\(488\) −0.436983 0.348482i −0.0197813 0.0157750i
\(489\) 2.67046 0.120763
\(490\) 6.83685 14.0804i 0.308858 0.636087i
\(491\) 36.5026 1.64734 0.823669 0.567070i \(-0.191923\pi\)
0.823669 + 0.567070i \(0.191923\pi\)
\(492\) −1.39766 1.11459i −0.0630113 0.0502498i
\(493\) −0.141185 + 0.293174i −0.00635866 + 0.0132039i
\(494\) 2.14903 + 9.41553i 0.0966896 + 0.423625i
\(495\) 26.3947 + 15.6160i 1.18635 + 0.701889i
\(496\) −6.32562 + 3.04626i −0.284029 + 0.136781i
\(497\) 6.25486 33.7424i 0.280569 1.51355i
\(498\) 2.10155 4.36391i 0.0941727 0.195552i
\(499\) 14.9757 + 18.7790i 0.670406 + 0.840662i 0.994431 0.105386i \(-0.0336078\pi\)
−0.324025 + 0.946048i \(0.605036\pi\)
\(500\) 10.9739 2.13849i 0.490769 0.0956361i
\(501\) 5.76221 7.22558i 0.257436 0.322815i
\(502\) −1.23623 0.282161i −0.0551756 0.0125935i
\(503\) 12.5712 + 10.0252i 0.560521 + 0.447000i 0.862315 0.506373i \(-0.169014\pi\)
−0.301794 + 0.953373i \(0.597585\pi\)
\(504\) 6.40199 + 1.18674i 0.285167 + 0.0528617i
\(505\) −10.9923 16.4975i −0.489153 0.734129i
\(506\) 23.1897 11.1676i 1.03091 0.496459i
\(507\) 3.95638 + 0.903018i 0.175709 + 0.0401045i
\(508\) 4.73803i 0.210216i
\(509\) 26.4213 1.17110 0.585551 0.810635i \(-0.300878\pi\)
0.585551 + 0.810635i \(0.300878\pi\)
\(510\) −1.55751 0.498649i −0.0689676 0.0220805i
\(511\) 19.3055 5.24971i 0.854025 0.232234i
\(512\) 0.974928 0.222521i 0.0430861 0.00983413i
\(513\) 13.8098 3.15200i 0.609719 0.139164i
\(514\) −7.54223 9.45766i −0.332673 0.417159i
\(515\) −13.2760 + 8.84588i −0.585012 + 0.389796i
\(516\) 1.93539 + 8.47950i 0.0852008 + 0.373289i
\(517\) −42.1189 + 9.61335i −1.85238 + 0.422795i
\(518\) −1.52600 5.61177i −0.0670486 0.246567i
\(519\) 3.53910 15.5058i 0.155349 0.680630i
\(520\) −6.09028 0.521666i −0.267077 0.0228766i
\(521\) 24.3692 1.06764 0.533818 0.845599i \(-0.320757\pi\)
0.533818 + 0.845599i \(0.320757\pi\)
\(522\) 0.783739 + 0.178883i 0.0343033 + 0.00782951i
\(523\) −9.74012 20.2256i −0.425906 0.884403i −0.997939 0.0641721i \(-0.979559\pi\)
0.572033 0.820231i \(-0.306155\pi\)
\(524\) −12.3040 15.4287i −0.537503 0.674008i
\(525\) 9.10971 + 3.36857i 0.397580 + 0.147016i
\(526\) −7.47320 + 9.37110i −0.325847 + 0.408599i
\(527\) −6.81844 1.55627i −0.297016 0.0677920i
\(528\) 3.19912 + 2.55121i 0.139224 + 0.111027i
\(529\) −1.50566 + 0.725086i −0.0654633 + 0.0315255i
\(530\) −4.06612 6.10251i −0.176621 0.265076i
\(531\) −1.43064 0.688961i −0.0620845 0.0298983i
\(532\) −1.70368 + 9.19063i −0.0738637 + 0.398464i
\(533\) −2.88792 5.99683i −0.125090 0.259752i
\(534\) 4.46415 + 2.14982i 0.193182 + 0.0930318i
\(535\) −37.7226 + 5.27564i −1.63089 + 0.228086i
\(536\) −10.3448 4.98181i −0.446828 0.215181i
\(537\) −10.3164 8.22709i −0.445187 0.355025i
\(538\) 4.40073i 0.189729i
\(539\) −38.8804 + 3.20389i −1.67470 + 0.138001i
\(540\) −0.765132 + 8.93266i −0.0329260 + 0.384401i
\(541\) 7.64240 9.58326i 0.328572 0.412017i −0.589916 0.807465i \(-0.700839\pi\)
0.918488 + 0.395448i \(0.129411\pi\)
\(542\) 4.36606 9.06621i 0.187538 0.389427i
\(543\) 1.46068 0.333391i 0.0626839 0.0143072i
\(544\) 0.897489 + 0.432208i 0.0384795 + 0.0185308i
\(545\) −8.86428 + 3.37051i −0.379704 + 0.144377i
\(546\) −4.28417 3.13739i −0.183346 0.134268i
\(547\) 5.15113 10.6964i 0.220246 0.457346i −0.761343 0.648349i \(-0.775460\pi\)
0.981589 + 0.191003i \(0.0611740\pi\)
\(548\) −16.1099 + 12.8472i −0.688182 + 0.548806i
\(549\) −1.23926 + 0.596797i −0.0528904 + 0.0254707i
\(550\) −18.5143 20.8260i −0.789453 0.888025i
\(551\) −0.256803 + 1.12513i −0.0109402 + 0.0479320i
\(552\) 2.65101 + 2.11411i 0.112835 + 0.0899827i
\(553\) 33.3713 + 14.4126i 1.41909 + 0.612888i
\(554\) −6.75763 8.47380i −0.287104 0.360017i
\(555\) 3.37302 1.28254i 0.143177 0.0544408i
\(556\) 2.90351 12.7211i 0.123136 0.539495i
\(557\) 19.6367i 0.832032i 0.909357 + 0.416016i \(0.136574\pi\)
−0.909357 + 0.416016i \(0.863426\pi\)
\(558\) 17.2781i 0.731440i
\(559\) −7.20598 + 31.5715i −0.304780 + 1.33533i
\(560\) −5.21119 2.80062i −0.220213 0.118348i
\(561\) 0.907000 + 3.97382i 0.0382936 + 0.167775i
\(562\) 17.9272 4.09177i 0.756214 0.172601i
\(563\) −1.31284 + 1.04696i −0.0553297 + 0.0441240i −0.650764 0.759280i \(-0.725551\pi\)
0.595434 + 0.803404i \(0.296980\pi\)
\(564\) −3.54852 4.44970i −0.149420 0.187366i
\(565\) 9.87863 1.38156i 0.415597 0.0581228i
\(566\) 5.29233 + 23.1872i 0.222453 + 0.974631i
\(567\) 6.93919 9.47563i 0.291419 0.397939i
\(568\) −12.6455 2.88625i −0.530593 0.121104i
\(569\) 27.7782 1.16452 0.582261 0.813002i \(-0.302168\pi\)
0.582261 + 0.813002i \(0.302168\pi\)
\(570\) −5.77890 0.494995i −0.242052 0.0207331i
\(571\) 5.92775 25.9712i 0.248068 1.08686i −0.685391 0.728175i \(-0.740369\pi\)
0.933459 0.358684i \(-0.116774\pi\)
\(572\) 6.61020 + 13.7262i 0.276386 + 0.573922i
\(573\) −7.21618 + 5.75471i −0.301460 + 0.240407i
\(574\) −0.264750 6.43657i −0.0110505 0.268657i
\(575\) −15.3423 17.2579i −0.639817 0.719705i
\(576\) 0.547612 2.39925i 0.0228172 0.0999686i
\(577\) 36.4881 + 29.0983i 1.51902 + 1.21138i 0.907429 + 0.420205i \(0.138042\pi\)
0.611591 + 0.791174i \(0.290530\pi\)
\(578\) −6.94549 14.4224i −0.288894 0.599895i
\(579\) 7.13057 + 8.94146i 0.296337 + 0.371594i
\(580\) −0.628651 0.371932i −0.0261033 0.0154436i
\(581\) 16.8426 4.57998i 0.698749 0.190010i
\(582\) −0.383301 0.795934i −0.0158884 0.0329925i
\(583\) −7.93005 + 16.4669i −0.328429 + 0.681990i
\(584\) −1.68265 7.37217i −0.0696285 0.305063i
\(585\) −7.65965 + 12.9466i −0.316688 + 0.535275i
\(586\) 9.08443 11.3915i 0.375274 0.470579i
\(587\) 15.1720i 0.626214i −0.949718 0.313107i \(-0.898630\pi\)
0.949718 0.313107i \(-0.101370\pi\)
\(588\) −2.60265 4.43168i −0.107332 0.182759i
\(589\) −24.8042 −1.02204
\(590\) 1.04713 + 0.992552i 0.0431098 + 0.0408627i
\(591\) −9.36897 4.51186i −0.385388 0.185593i
\(592\) −2.14296 + 0.489117i −0.0880751 + 0.0201026i
\(593\) −8.60386 + 17.8661i −0.353318 + 0.733673i −0.999566 0.0294548i \(-0.990623\pi\)
0.646248 + 0.763128i \(0.276337\pi\)
\(594\) 20.1324 9.69524i 0.826041 0.397800i
\(595\) −2.31912 5.41773i −0.0950748 0.222105i
\(596\) 14.3597 + 6.91525i 0.588195 + 0.283260i
\(597\) −9.27417 + 7.39590i −0.379566 + 0.302694i
\(598\) 5.47768 + 11.3745i 0.223999 + 0.465139i
\(599\) 2.86710 3.59523i 0.117147 0.146897i −0.719800 0.694181i \(-0.755767\pi\)
0.836947 + 0.547284i \(0.184338\pi\)
\(600\) 1.41363 3.38791i 0.0577111 0.138311i
\(601\) −24.2725 + 30.4367i −0.990095 + 1.24154i −0.0197522 + 0.999805i \(0.506288\pi\)
−0.970342 + 0.241734i \(0.922284\pi\)
\(602\) −18.5181 + 25.2868i −0.754739 + 1.03061i
\(603\) −22.0917 + 17.6175i −0.899643 + 0.717442i
\(604\) −2.17268 + 1.04631i −0.0884049 + 0.0425736i
\(605\) −13.6771 + 42.7198i −0.556053 + 1.73681i
\(606\) −6.50917 −0.264417
\(607\) 35.6388i 1.44653i −0.690569 0.723266i \(-0.742640\pi\)
0.690569 0.723266i \(-0.257360\pi\)
\(608\) 3.44433 + 0.786146i 0.139686 + 0.0318824i
\(609\) −0.298581 0.559906i −0.0120991 0.0226885i
\(610\) 1.23774 0.173103i 0.0501147 0.00700873i
\(611\) −4.71534 20.6593i −0.190762 0.835784i
\(612\) 1.91661 1.52845i 0.0774746 0.0617839i
\(613\) −19.3723 + 15.4489i −0.782441 + 0.623976i −0.931038 0.364922i \(-0.881096\pi\)
0.148597 + 0.988898i \(0.452524\pi\)
\(614\) 3.50690 + 15.3647i 0.141527 + 0.620070i
\(615\) 3.95883 0.553657i 0.159635 0.0223256i
\(616\) 0.605991 + 14.7327i 0.0244161 + 0.593599i
\(617\) −25.8637 5.90323i −1.04124 0.237655i −0.332480 0.943110i \(-0.607886\pi\)
−0.708755 + 0.705455i \(0.750743\pi\)
\(618\) 5.23813i 0.210709i
\(619\) −30.2460 −1.21569 −0.607845 0.794056i \(-0.707966\pi\)
−0.607845 + 0.794056i \(0.707966\pi\)
\(620\) 4.78689 14.9516i 0.192246 0.600473i
\(621\) 16.6831 8.03416i 0.669470 0.322400i
\(622\) 8.55228 6.82021i 0.342915 0.273466i
\(623\) 4.68518 + 17.2294i 0.187708 + 0.690283i
\(624\) −1.25137 + 1.56916i −0.0500947 + 0.0628168i
\(625\) −13.4105 + 21.0988i −0.536418 + 0.843952i
\(626\) −21.2100 + 26.5965i −0.847721 + 1.06301i
\(627\) 6.27224 + 13.0244i 0.250489 + 0.520146i
\(628\) 9.04982 7.21699i 0.361127 0.287989i
\(629\) −1.97274 0.950023i −0.0786584 0.0378799i
\(630\) −11.7740 + 8.56405i −0.469086 + 0.341200i
\(631\) −6.82454 + 3.28652i −0.271680 + 0.130834i −0.564764 0.825252i \(-0.691033\pi\)
0.293084 + 0.956087i \(0.405319\pi\)
\(632\) 5.96123 12.3786i 0.237125 0.492395i
\(633\) −3.31131 + 0.755785i −0.131613 + 0.0300397i
\(634\) −5.85879 2.82144i −0.232682 0.112054i
\(635\) −7.68920 7.28841i −0.305137 0.289232i
\(636\) −2.40778 −0.0954746
\(637\) −1.57151 19.0708i −0.0622653 0.755611i
\(638\) 1.82053i 0.0720756i
\(639\) −19.9019 + 24.9562i −0.787308 + 0.987253i
\(640\) −1.13859 + 1.92448i −0.0450067 + 0.0760717i
\(641\) −8.54823 37.4523i −0.337635 1.47928i −0.803971 0.594668i \(-0.797284\pi\)
0.466337 0.884607i \(-0.345574\pi\)
\(642\) −5.42639 + 11.2680i −0.214163 + 0.444713i
\(643\) 18.8049 + 39.0488i 0.741593 + 1.53993i 0.838660 + 0.544655i \(0.183339\pi\)
−0.0970674 + 0.995278i \(0.530946\pi\)
\(644\) 0.502167 + 12.2086i 0.0197881 + 0.481086i
\(645\) −16.7383 9.90295i −0.659069 0.389928i
\(646\) 2.19423 + 2.75147i 0.0863306 + 0.108255i
\(647\) −3.04483 6.32265i −0.119704 0.248569i 0.832503 0.554020i \(-0.186907\pi\)
−0.952208 + 0.305451i \(0.901193\pi\)
\(648\) −3.47064 2.76774i −0.136339 0.108727i
\(649\) 0.800186 3.50584i 0.0314101 0.137616i
\(650\) 10.2151 9.08126i 0.400671 0.356196i
\(651\) 10.3043 8.93432i 0.403858 0.350164i
\(652\) 2.84371 2.26778i 0.111368 0.0888131i
\(653\) −9.21386 19.1328i −0.360566 0.748724i 0.639228 0.769018i \(-0.279254\pi\)
−0.999794 + 0.0202938i \(0.993540\pi\)
\(654\) −0.692895 + 3.03577i −0.0270944 + 0.118708i
\(655\) 43.9658 + 3.76591i 1.71789 + 0.147146i
\(656\) −2.43485 −0.0950649
\(657\) −18.1425 4.14091i −0.707807 0.161552i
\(658\) 3.73815 20.1658i 0.145728 0.786144i
\(659\) −0.113162 0.495796i −0.00440818 0.0193135i 0.972676 0.232167i \(-0.0745815\pi\)
−0.977084 + 0.212853i \(0.931724\pi\)
\(660\) −9.06141 + 1.26727i −0.352715 + 0.0493285i
\(661\) −30.9990 38.8715i −1.20572 1.51193i −0.802310 0.596908i \(-0.796396\pi\)
−0.403411 0.915019i \(-0.632176\pi\)
\(662\) 2.65303 2.11572i 0.103113 0.0822299i
\(663\) −1.94916 + 0.444882i −0.0756990 + 0.0172778i
\(664\) −1.46799 6.43167i −0.0569689 0.249597i
\(665\) −12.2944 16.9026i −0.476758 0.655454i
\(666\) −1.20369 + 5.27371i −0.0466421 + 0.204352i
\(667\) 1.50862i 0.0584141i
\(668\) 12.5876i 0.487030i
\(669\) 3.92139 17.1807i 0.151610 0.664246i
\(670\) 23.9980 9.12488i 0.927125 0.352525i
\(671\) −1.94215 2.43538i −0.0749758 0.0940166i
\(672\) −1.71403 + 0.914040i −0.0661201 + 0.0352599i
\(673\) 12.0261 + 9.59047i 0.463571 + 0.369685i 0.827245 0.561841i \(-0.189907\pi\)
−0.363675 + 0.931526i \(0.618478\pi\)
\(674\) −3.00624 + 13.1712i −0.115796 + 0.507336i
\(675\) −13.3195 14.9826i −0.512670 0.576682i
\(676\) 4.97990 2.39819i 0.191534 0.0922381i
\(677\) 5.09114 4.06005i 0.195668 0.156040i −0.520755 0.853706i \(-0.674349\pi\)
0.716423 + 0.697666i \(0.245778\pi\)
\(678\) 1.42104 2.95082i 0.0545748 0.113326i
\(679\) 1.26221 2.92255i 0.0484393 0.112157i
\(680\) −2.08200 + 0.791650i −0.0798412 + 0.0303584i
\(681\) −14.2480 6.86146i −0.545984 0.262932i
\(682\) −38.1476 + 8.70695i −1.46075 + 0.333406i
\(683\) −1.82596 + 3.79164i −0.0698684 + 0.145083i −0.932978 0.359933i \(-0.882799\pi\)
0.863110 + 0.505017i \(0.168514\pi\)
\(684\) 5.42081 6.79748i 0.207270 0.259908i
\(685\) 3.93218 45.9069i 0.150241 1.75401i
\(686\) 5.92196 17.5479i 0.226102 0.669984i
\(687\) 8.23890i 0.314334i
\(688\) 9.26180 + 7.38604i 0.353103 + 0.281590i
\(689\) −8.07701 3.88968i −0.307709 0.148185i
\(690\) −7.50893 + 1.05015i −0.285860 + 0.0399786i
\(691\) 41.7809 + 20.1206i 1.58942 + 0.765425i 0.999128 0.0417641i \(-0.0132978\pi\)
0.590293 + 0.807189i \(0.299012\pi\)
\(692\) −9.39897 19.5172i −0.357295 0.741931i
\(693\) 33.3130 + 14.3875i 1.26546 + 0.546535i
\(694\) −32.5036 15.6529i −1.23382 0.594176i
\(695\) 16.1783 + 24.2806i 0.613676 + 0.921015i
\(696\) −0.216084 + 0.104060i −0.00819063 + 0.00394440i
\(697\) −1.89629 1.51224i −0.0718271 0.0572802i
\(698\) −1.62139 0.370071i −0.0613705 0.0140074i
\(699\) −0.301361 + 0.377895i −0.0113985 + 0.0142933i
\(700\) 12.5613 4.14894i 0.474773 0.156815i
\(701\) 13.8733 + 17.3965i 0.523986 + 0.657057i 0.971450 0.237245i \(-0.0762443\pi\)
−0.447464 + 0.894302i \(0.647673\pi\)
\(702\) 4.75550 + 9.87490i 0.179485 + 0.372704i
\(703\) −7.57089 1.72801i −0.285541 0.0651729i
\(704\) 5.57316 0.210046
\(705\) 12.6799 + 1.08610i 0.477552 + 0.0409050i
\(706\) −6.41478 + 28.1050i −0.241423 + 1.05774i
\(707\) −15.3661 17.7223i −0.577901 0.666517i
\(708\) 0.461856 0.105416i 0.0173576 0.00396176i
\(709\) 0.490722 + 2.15000i 0.0184295 + 0.0807448i 0.983306 0.181958i \(-0.0582434\pi\)
−0.964877 + 0.262702i \(0.915386\pi\)
\(710\) 24.1363 16.0821i 0.905819 0.603551i
\(711\) −21.0812 26.4349i −0.790605 0.991388i
\(712\) 6.57939 1.50170i 0.246573 0.0562787i
\(713\) −31.6118 + 7.21520i −1.18387 + 0.270211i
\(714\) −1.90260 0.352687i −0.0712030 0.0131990i
\(715\) −32.4442 10.3873i −1.21334 0.388462i
\(716\) −17.9722 −0.671653
\(717\) 12.8458i 0.479735i
\(718\) 9.22380 + 2.10527i 0.344229 + 0.0785681i
\(719\) −17.3877 + 8.37345i −0.648450 + 0.312277i −0.729041 0.684470i \(-0.760034\pi\)
0.0805907 + 0.996747i \(0.474319\pi\)
\(720\) 3.05128 + 4.57941i 0.113715 + 0.170665i
\(721\) −14.2617 + 12.3656i −0.531134 + 0.460518i
\(722\) −5.09641 4.06425i −0.189669 0.151256i
\(723\) 19.1049 + 4.36057i 0.710519 + 0.162171i
\(724\) 1.27232 1.59544i 0.0472855 0.0592941i
\(725\) 1.57064 0.448083i 0.0583320 0.0166414i
\(726\) 9.18287 + 11.5150i 0.340808 + 0.427360i
\(727\) −13.8467 + 28.7529i −0.513545 + 1.06639i 0.469485 + 0.882940i \(0.344440\pi\)
−0.983030 + 0.183446i \(0.941275\pi\)
\(728\) −7.22639 + 0.297238i −0.267828 + 0.0110164i
\(729\) −1.88592 + 0.908211i −0.0698489 + 0.0336375i
\(730\) 14.5524 + 8.60973i 0.538610 + 0.318660i
\(731\) 2.62587 + 11.5047i 0.0971212 + 0.425516i
\(732\) 0.178049 0.369723i 0.00658088 0.0136653i
\(733\) 17.2995 + 13.7959i 0.638973 + 0.509564i 0.888543 0.458793i \(-0.151718\pi\)
−0.249570 + 0.968357i \(0.580289\pi\)
\(734\) −15.3948 −0.568231
\(735\) 11.1956 + 2.59339i 0.412957 + 0.0956586i
\(736\) 4.61832 0.170233
\(737\) −50.0297 39.8974i −1.84287 1.46964i
\(738\) −2.59985 + 5.39864i −0.0957018 + 0.198727i
\(739\) −6.65027 29.1367i −0.244634 1.07181i −0.936743 0.350019i \(-0.886175\pi\)
0.692109 0.721793i \(-0.256682\pi\)
\(740\) 2.50270 4.23014i 0.0920010 0.155503i
\(741\) −6.38848 + 3.07653i −0.234687 + 0.113019i
\(742\) −5.68400 6.55559i −0.208666 0.240663i
\(743\) 7.87521 16.3530i 0.288913 0.599935i −0.705110 0.709097i \(-0.749103\pi\)
0.994024 + 0.109163i \(0.0348169\pi\)
\(744\) −3.21394 4.03016i −0.117829 0.147753i
\(745\) −33.3117 + 12.6663i −1.22045 + 0.464056i
\(746\) 0.817506 1.02512i 0.0299310 0.0375323i
\(747\) −15.8280 3.61264i −0.579116 0.132180i
\(748\) 4.34044 + 3.46139i 0.158702 + 0.126561i
\(749\) −43.4891 + 11.8259i −1.58906 + 0.432110i
\(750\) 3.32358 + 7.50568i 0.121360 + 0.274069i
\(751\) 38.6788 18.6267i 1.41141 0.679699i 0.435969 0.899962i \(-0.356406\pi\)
0.975441 + 0.220263i \(0.0706915\pi\)
\(752\) −7.55744 1.72494i −0.275592 0.0629020i
\(753\) 0.930983i 0.0339269i
\(754\) −0.892969 −0.0325200
\(755\) 1.64416 5.13548i 0.0598373 0.186899i
\(756\) 0.435961 + 10.5990i 0.0158557 + 0.385482i
\(757\) 13.5462 3.09184i 0.492346 0.112375i 0.0308625 0.999524i \(-0.490175\pi\)
0.461483 + 0.887149i \(0.347317\pi\)
\(758\) 0.376911 0.0860274i 0.0136900 0.00312465i
\(759\) 11.7823 + 14.7745i 0.427670 + 0.536282i
\(760\) −6.57415 + 4.38038i −0.238470 + 0.158893i
\(761\) 5.97065 + 26.1591i 0.216436 + 0.948268i 0.960087 + 0.279701i \(0.0902352\pi\)
−0.743651 + 0.668568i \(0.766908\pi\)
\(762\) −3.39145 + 0.774077i −0.122859 + 0.0280419i
\(763\) −9.90112 + 5.27997i −0.358445 + 0.191148i
\(764\) −2.79737 + 12.2561i −0.101205 + 0.443409i
\(765\) −0.467815 + 5.46159i −0.0169139 + 0.197464i
\(766\) 12.2036 0.440933
\(767\) 1.71961 + 0.392490i 0.0620916 + 0.0141720i
\(768\) 0.318558 + 0.661493i 0.0114950 + 0.0238696i
\(769\) 17.8096 + 22.3326i 0.642232 + 0.805334i 0.991280 0.131771i \(-0.0420664\pi\)
−0.349048 + 0.937105i \(0.613495\pi\)
\(770\) −24.8415 21.6796i −0.895225 0.781279i
\(771\) 5.53752 6.94383i 0.199429 0.250076i
\(772\) 15.1863 + 3.46618i 0.546567 + 0.124750i
\(773\) −33.7277 26.8969i −1.21310 0.967416i −0.213147 0.977020i \(-0.568371\pi\)
−0.999954 + 0.00960414i \(0.996943\pi\)
\(774\) 26.2660 12.6491i 0.944113 0.454661i
\(775\) 16.9010 + 30.7683i 0.607101 + 1.10523i
\(776\) −1.08408 0.522066i −0.0389162 0.0187411i
\(777\) 3.76756 2.00912i 0.135160 0.0720769i
\(778\) −3.96140 8.22592i −0.142023 0.294914i
\(779\) −7.75023 3.73231i −0.277681 0.133724i
\(780\) −0.621596 4.44461i −0.0222567 0.159143i
\(781\) −65.1291 31.3645i −2.33050 1.12231i
\(782\) 3.59680 + 2.86835i 0.128621 + 0.102572i
\(783\) 1.30972i 0.0468057i
\(784\) −6.53491 2.50898i −0.233390 0.0896064i
\(785\) −2.20892 + 25.7884i −0.0788396 + 0.920427i
\(786\) 9.03362 11.3278i 0.322219 0.404049i
\(787\) −10.5287 + 21.8630i −0.375306 + 0.779332i −0.999999 0.00153921i \(-0.999510\pi\)
0.624692 + 0.780871i \(0.285224\pi\)
\(788\) −13.8083 + 3.15165i −0.491899 + 0.112273i
\(789\) −7.92871 3.81826i −0.282269 0.135934i
\(790\) 10.9188 + 28.7161i 0.388475 + 1.02167i
\(791\) 11.3887 3.09693i 0.404937 0.110114i
\(792\) 5.95083 12.3570i 0.211454 0.439088i
\(793\) 1.19455 0.952621i 0.0424197 0.0338286i
\(794\) −31.2637 + 15.0558i −1.10951 + 0.534311i
\(795\) 3.70383 3.90750i 0.131361 0.138585i
\(796\) −3.59515 + 15.7514i −0.127427 + 0.558293i
\(797\) 36.0879 + 28.7792i 1.27830 + 1.01941i 0.998233 + 0.0594294i \(0.0189281\pi\)
0.280067 + 0.959980i \(0.409643\pi\)
\(798\) −6.85693 + 0.282041i −0.242733 + 0.00998414i
\(799\) −4.81450 6.03719i −0.170325 0.213580i
\(800\) −1.37171 4.80816i −0.0484972 0.169994i
\(801\) 3.69561 16.1915i 0.130578 0.572100i
\(802\) 26.9951i 0.953230i
\(803\) 42.1429i 1.48719i
\(804\) 1.87586 8.21866i 0.0661564 0.289850i
\(805\) −20.5854 17.9653i −0.725540 0.633192i
\(806\) −4.27075 18.7114i −0.150431 0.659080i
\(807\) 3.15002 0.718971i 0.110886 0.0253090i
\(808\) −6.93144 + 5.52764i −0.243847 + 0.194462i
\(809\) 31.3043 + 39.2544i 1.10060 + 1.38011i 0.917838 + 0.396955i \(0.129933\pi\)
0.182764 + 0.983157i \(0.441496\pi\)
\(810\) 9.83048 1.37483i 0.345408 0.0483066i
\(811\) 7.87621 + 34.5079i 0.276571 + 1.21174i 0.902097 + 0.431534i \(0.142028\pi\)
−0.625525 + 0.780204i \(0.715115\pi\)
\(812\) −0.793427 0.342671i −0.0278438 0.0120254i
\(813\) 7.20284 + 1.64400i 0.252615 + 0.0576576i
\(814\) −12.2502 −0.429369
\(815\) −0.694104 + 8.10343i −0.0243134 + 0.283851i
\(816\) −0.162744 + 0.713029i −0.00569719 + 0.0249610i
\(817\) 18.1589 + 37.7072i 0.635298 + 1.31921i
\(818\) −11.6743 + 9.30997i −0.408184 + 0.325516i
\(819\) −7.05705 + 16.3400i −0.246593 + 0.570966i
\(820\) 3.74548 3.95144i 0.130798 0.137990i
\(821\) 0.464228 2.03392i 0.0162017 0.0709842i −0.966181 0.257866i \(-0.916981\pi\)
0.982382 + 0.186881i \(0.0598380\pi\)
\(822\) −11.8279 9.43246i −0.412546 0.328995i
\(823\) −10.0034 20.7723i −0.348697 0.724078i 0.650680 0.759352i \(-0.274484\pi\)
−0.999378 + 0.0352742i \(0.988770\pi\)
\(824\) 4.44826 + 5.57795i 0.154963 + 0.194317i
\(825\) 11.8824 16.6549i 0.413690 0.579849i
\(826\) 1.37731 + 1.00863i 0.0479226 + 0.0350947i
\(827\) −22.9019 47.5563i −0.796378 1.65369i −0.756055 0.654508i \(-0.772876\pi\)
−0.0403227 0.999187i \(-0.512839\pi\)
\(828\) 4.93128 10.2399i 0.171374 0.355861i
\(829\) 1.29276 + 5.66394i 0.0448993 + 0.196717i 0.992403 0.123027i \(-0.0392602\pi\)
−0.947504 + 0.319744i \(0.896403\pi\)
\(830\) 12.6959 + 7.51135i 0.440682 + 0.260723i
\(831\) 4.96146 6.22148i 0.172111 0.215821i
\(832\) 2.73363i 0.0947716i
\(833\) −3.53118 6.01273i −0.122348 0.208329i
\(834\) 9.58004 0.331730
\(835\) 20.4281 + 19.3633i 0.706943 + 0.670094i
\(836\) 17.7396 + 8.54295i 0.613537 + 0.295464i
\(837\) −27.4441 + 6.26394i −0.948608 + 0.216514i
\(838\) 12.4619 25.8774i 0.430490 0.893921i
\(839\) −13.4270 + 6.46611i −0.463552 + 0.223235i −0.651057 0.759029i \(-0.725674\pi\)
0.187505 + 0.982264i \(0.439960\pi\)
\(840\) 1.15329 4.18769i 0.0397922 0.144489i
\(841\) 26.0320 + 12.5363i 0.897654 + 0.432287i
\(842\) 4.52466 3.60830i 0.155930 0.124350i
\(843\) 5.85772 + 12.1637i 0.201751 + 0.418940i
\(844\) −2.88431 + 3.61680i −0.0992819 + 0.124496i
\(845\) −3.76852 + 11.7708i −0.129641 + 0.404928i
\(846\) −11.8942 + 14.9148i −0.408930 + 0.512782i
\(847\) −9.67360 + 52.1851i −0.332389 + 1.79310i
\(848\) −2.56398 + 2.04470i −0.0880473 + 0.0702154i
\(849\) −15.7326 + 7.57643i −0.539942 + 0.260022i
\(850\) 1.91796 4.59659i 0.0657854 0.157662i
\(851\) −10.1514 −0.347985
\(852\) 9.52311i 0.326256i
\(853\) −28.9449 6.60649i −0.991055 0.226202i −0.303893 0.952706i \(-0.598287\pi\)
−0.687162 + 0.726504i \(0.741144\pi\)
\(854\) 1.42695 0.388029i 0.0488293 0.0132781i
\(855\) 2.69270 + 19.2537i 0.0920884 + 0.658462i
\(856\) 3.79047 + 16.6071i 0.129556 + 0.567620i
\(857\) 11.1040 8.85513i 0.379305 0.302485i −0.415216 0.909723i \(-0.636294\pi\)
0.794520 + 0.607238i \(0.207722\pi\)
\(858\) −8.74520 + 6.97407i −0.298556 + 0.238091i
\(859\) −10.0690 44.1151i −0.343549 1.50519i −0.791523 0.611140i \(-0.790711\pi\)
0.447973 0.894047i \(-0.352146\pi\)
\(860\) −26.2338 + 3.66890i −0.894565 + 0.125108i
\(861\) 4.56400 1.24108i 0.155541 0.0422960i
\(862\) −12.8633 2.93597i −0.438127 0.0999996i
\(863\) 0.127593i 0.00434332i −0.999998 0.00217166i \(-0.999309\pi\)
0.999998 0.00217166i \(-0.000691261\pi\)
\(864\) 4.00944 0.136404
\(865\) 46.1320 + 14.7695i 1.56854 + 0.502180i
\(866\) 15.9436 7.67806i 0.541787 0.260911i
\(867\) 9.18878 7.32780i 0.312067 0.248865i
\(868\) 3.38570 18.2644i 0.114918 0.619935i
\(869\) 47.7412 59.8656i 1.61951 2.03080i
\(870\) 0.163520 0.510749i 0.00554386 0.0173160i
\(871\) 19.5696 24.5395i 0.663092 0.831490i
\(872\) 1.84016 + 3.82112i 0.0623156 + 0.129400i
\(873\) −2.31509 + 1.84622i −0.0783538 + 0.0624851i
\(874\) 14.7003 + 7.07929i 0.497245 + 0.239461i
\(875\) −12.5896 + 26.7676i −0.425606 + 0.904909i
\(876\) 5.00205 2.40886i 0.169004 0.0813878i
\(877\) −13.0266 + 27.0501i −0.439878 + 0.913417i 0.556696 + 0.830716i \(0.312069\pi\)
−0.996574 + 0.0827007i \(0.973645\pi\)
\(878\) 18.0279 4.11475i 0.608412 0.138866i
\(879\) 9.63814 + 4.64148i 0.325086 + 0.156553i
\(880\) −8.57307 + 9.04451i −0.288998 + 0.304890i
\(881\) −54.1411 −1.82406 −0.912030 0.410124i \(-0.865485\pi\)
−0.912030 + 0.410124i \(0.865485\pi\)
\(882\) −12.5408 + 11.8104i −0.422269 + 0.397678i
\(883\) 2.41451i 0.0812549i −0.999174 0.0406274i \(-0.987064\pi\)
0.999174 0.0406274i \(-0.0129357\pi\)
\(884\) −1.69781 + 2.12898i −0.0571034 + 0.0716054i
\(885\) −0.539387 + 0.911689i −0.0181313 + 0.0306461i
\(886\) 1.53577 + 6.72863i 0.0515951 + 0.226053i
\(887\) 13.3946 27.8142i 0.449747 0.933909i −0.545645 0.838017i \(-0.683715\pi\)
0.995392 0.0958924i \(-0.0305705\pi\)
\(888\) −0.700213 1.45401i −0.0234976 0.0487933i
\(889\) −10.1137 7.40646i −0.339203 0.248405i
\(890\) −7.68387 + 12.9875i −0.257564 + 0.435343i
\(891\) −15.4251 19.3424i −0.516759 0.647995i
\(892\) −10.4142 21.6254i −0.348694 0.724071i
\(893\) −21.4115 17.0751i −0.716510 0.571398i
\(894\) −2.60388 + 11.4083i −0.0870867 + 0.381552i
\(895\) 27.6463 29.1665i 0.924113 0.974929i
\(896\) −1.04901 + 2.42890i −0.0350451 + 0.0811440i
\(897\) −7.24689 + 5.77921i −0.241967 + 0.192962i
\(898\) 9.05029 + 18.7931i 0.302012 + 0.627134i
\(899\) 0.510342 2.23595i 0.0170208 0.0745732i
\(900\) −12.1255 2.09258i −0.404183 0.0697528i
\(901\) −3.26678 −0.108832
\(902\) −13.2296 3.01957i −0.440497 0.100541i
\(903\) −21.1255 9.12386i −0.703014 0.303623i
\(904\) −0.992633 4.34901i −0.0330145 0.144646i
\(905\) 0.632006 + 4.51904i 0.0210086 + 0.150218i
\(906\) −1.10390 1.38425i −0.0366746 0.0459885i
\(907\) −38.2426 + 30.4975i −1.26983 + 1.01265i −0.271082 + 0.962556i \(0.587381\pi\)
−0.998744 + 0.0500960i \(0.984047\pi\)
\(908\) −20.9991 + 4.79291i −0.696880 + 0.159058i
\(909\) 4.85494 + 21.2709i 0.161028 + 0.705511i
\(910\) 10.6338 12.1847i 0.352508 0.403919i
\(911\) 10.7920 47.2827i 0.357554 1.56655i −0.401711 0.915766i \(-0.631584\pi\)
0.759266 0.650781i \(-0.225558\pi\)
\(912\) 2.59387i 0.0858916i
\(913\) 36.7665i 1.21680i
\(914\) −2.84450 + 12.4626i −0.0940878 + 0.412226i
\(915\) 0.326122 + 0.857687i 0.0107813 + 0.0283542i
\(916\) 6.99654 + 8.77339i 0.231172 + 0.289881i
\(917\) 52.1674 2.14576i 1.72272 0.0708593i
\(918\) 3.12260 + 2.49019i 0.103061 + 0.0821884i
\(919\) −2.48264 + 10.8771i −0.0818946 + 0.358804i −0.999227 0.0393191i \(-0.987481\pi\)
0.917332 + 0.398123i \(0.130338\pi\)
\(920\) −7.10426 + 7.49492i −0.234220 + 0.247100i
\(921\) −10.4250 + 5.02043i −0.343516 + 0.165429i
\(922\) −27.2200 + 21.7072i −0.896442 + 0.714889i
\(923\) 15.3843 31.9457i 0.506379 1.05151i
\(924\) −10.4466 + 2.84073i −0.343668 + 0.0934531i
\(925\) 3.01511 + 10.5687i 0.0991363 + 0.347496i
\(926\) 32.0705 + 15.4443i 1.05390 + 0.507532i
\(927\) 17.1173 3.90692i 0.562207 0.128320i
\(928\) −0.141733 + 0.294311i −0.00465260 + 0.00966123i
\(929\) −1.17329 + 1.47126i −0.0384944 + 0.0482705i −0.800706 0.599057i \(-0.795542\pi\)
0.762212 + 0.647328i \(0.224114\pi\)
\(930\) 11.4844 + 0.983698i 0.376587 + 0.0322567i
\(931\) −16.9549 18.0034i −0.555676 0.590036i
\(932\) 0.658329i 0.0215643i
\(933\) 6.27910 + 5.00741i 0.205568 + 0.163935i
\(934\) 23.3873 + 11.2627i 0.765256 + 0.368528i
\(935\) −12.2942 + 1.71939i −0.402063 + 0.0562300i
\(936\) 6.06111 + 2.91888i 0.198113 + 0.0954064i
\(937\) −3.69608 7.67499i −0.120746 0.250731i 0.831831 0.555028i \(-0.187293\pi\)
−0.952577 + 0.304297i \(0.901578\pi\)
\(938\) 26.8050 14.2943i 0.875215 0.466726i
\(939\) −22.5028 10.8368i −0.734350 0.353644i
\(940\) 14.4248 9.61130i 0.470485 0.313486i
\(941\) −11.0616 + 5.32699i −0.360598 + 0.173655i −0.605406 0.795917i \(-0.706989\pi\)
0.244808 + 0.969572i \(0.421275\pi\)
\(942\) 6.64439 + 5.29872i 0.216486 + 0.172642i
\(943\) −10.9630 2.50223i −0.357004 0.0814838i
\(944\) 0.402298 0.504466i 0.0130937 0.0164190i
\(945\) −17.8714 15.5967i −0.581357 0.507361i
\(946\) 41.1636 + 51.6175i 1.33834 + 1.67823i
\(947\) 9.99038 + 20.7452i 0.324644 + 0.674130i 0.997865 0.0653114i \(-0.0208041\pi\)
−0.673221 + 0.739441i \(0.735090\pi\)
\(948\) 9.83446 + 2.24465i 0.319408 + 0.0729029i
\(949\) 20.6711 0.671011
\(950\) 3.00409 17.4072i 0.0974656 0.564765i
\(951\) 1.06239 4.65464i 0.0344504 0.150937i
\(952\) −2.32553 + 1.24014i −0.0753709 + 0.0401930i
\(953\) −37.5065 + 8.56061i −1.21495 + 0.277305i −0.781520 0.623880i \(-0.785556\pi\)
−0.433434 + 0.901185i \(0.642698\pi\)
\(954\) 1.79587 + 7.86821i 0.0581434 + 0.254743i
\(955\) −15.5869 23.3930i −0.504379 0.756980i
\(956\) −10.9087 13.6791i −0.352814 0.442415i
\(957\) −1.30313 + 0.297430i −0.0421241 + 0.00961454i
\(958\) −30.9829 + 7.07164i −1.00101 + 0.228474i
\(959\) −2.24050 54.4706i −0.0723494 1.75895i
\(960\) −1.56355 0.500582i −0.0504632 0.0161562i
\(961\) 18.2932 0.590103
\(962\) 6.00871i 0.193729i
\(963\) 40.8693 + 9.32815i 1.31700 + 0.300596i
\(964\) 24.0473 11.5806i 0.774513 0.372986i
\(965\) −28.9859 + 19.3134i −0.933090 + 0.621721i
\(966\) −8.65679 + 2.35403i −0.278528 + 0.0757397i
\(967\) 33.6536 + 26.8378i 1.08223 + 0.863046i 0.991143 0.132797i \(-0.0423958\pi\)
0.0910828 + 0.995843i \(0.470967\pi\)
\(968\) 19.5572 + 4.46380i 0.628592 + 0.143472i
\(969\) −1.61100 + 2.02013i −0.0517529 + 0.0648961i
\(970\) 2.51486 0.956237i 0.0807473 0.0307029i
\(971\) −25.6222 32.1292i −0.822256 1.03108i −0.998904 0.0468018i \(-0.985097\pi\)
0.176649 0.984274i \(-0.443474\pi\)
\(972\) 6.63300 13.7736i 0.212754 0.441788i
\(973\) 22.6154 + 26.0833i 0.725018 + 0.836192i
\(974\) 33.9647 16.3565i 1.08830 0.524097i
\(975\) 8.16921 + 5.82828i 0.261624 + 0.186654i
\(976\) −0.124372 0.544909i −0.00398104 0.0174421i
\(977\) 19.7778 41.0690i 0.632747 1.31391i −0.300192 0.953879i \(-0.597051\pi\)
0.932939 0.360034i \(-0.117235\pi\)
\(978\) 2.08785 + 1.66501i 0.0667622 + 0.0532411i
\(979\) 37.6110 1.20205
\(980\) 14.1242 6.74579i 0.451183 0.215486i
\(981\) 10.4372 0.333234
\(982\) 28.5389 + 22.7590i 0.910712 + 0.726269i
\(983\) 7.76684 16.1280i 0.247724 0.514404i −0.739615 0.673030i \(-0.764992\pi\)
0.987339 + 0.158627i \(0.0507066\pi\)
\(984\) −0.397794 1.74285i −0.0126812 0.0555600i
\(985\) 16.1262 27.2571i 0.513825 0.868483i
\(986\) −0.293174 + 0.141185i −0.00933657 + 0.00449625i
\(987\) 15.0453 0.618845i 0.478896 0.0196981i
\(988\) −4.19031 + 8.70126i −0.133311 + 0.276824i
\(989\) 34.1111 + 42.7739i 1.08467 + 1.36013i
\(990\) 10.8998 + 28.6660i 0.346418 + 0.911064i
\(991\) 8.56930 10.7456i 0.272213 0.341344i −0.626869 0.779125i \(-0.715664\pi\)
0.899082 + 0.437781i \(0.144235\pi\)
\(992\) −6.84488 1.56230i −0.217325 0.0496031i
\(993\) 1.94786 + 1.55337i 0.0618135 + 0.0492946i
\(994\) 25.9283 22.4810i 0.822395 0.713055i
\(995\) −20.0321 30.0645i −0.635060 0.953108i
\(996\) 4.36391 2.10155i 0.138276 0.0665902i
\(997\) 39.0676 + 8.91691i 1.23728 + 0.282401i 0.790623 0.612303i \(-0.209757\pi\)
0.446659 + 0.894704i \(0.352614\pi\)
\(998\) 24.0192i 0.760315i
\(999\) −8.81302 −0.278832
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 490.2.p.a.239.19 yes 168
5.4 even 2 inner 490.2.p.a.239.10 168
49.8 even 7 inner 490.2.p.a.449.10 yes 168
245.204 even 14 inner 490.2.p.a.449.19 yes 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.p.a.239.10 168 5.4 even 2 inner
490.2.p.a.239.19 yes 168 1.1 even 1 trivial
490.2.p.a.449.10 yes 168 49.8 even 7 inner
490.2.p.a.449.19 yes 168 245.204 even 14 inner