Properties

Label 201.2.m.b.10.5
Level $201$
Weight $2$
Character 201.10
Analytic conductor $1.605$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,2,Mod(4,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.m (of order \(33\), degree \(20\), 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: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(6\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 10.5
Character \(\chi\) \(=\) 201.10
Dual form 201.2.m.b.181.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.07016 + 1.02039i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.00887090 + 0.186223i) q^{4} +(0.810859 - 1.77553i) q^{5} +(0.857707 - 1.20448i) q^{6} +(-0.301535 + 1.24295i) q^{7} +(1.75610 - 2.02665i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(1.07016 + 1.02039i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.00887090 + 0.186223i) q^{4} +(0.810859 - 1.77553i) q^{5} +(0.857707 - 1.20448i) q^{6} +(-0.301535 + 1.24295i) q^{7} +(1.75610 - 2.02665i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(2.67949 - 1.07270i) q^{10} +(0.776595 + 1.09058i) q^{11} +(0.183065 - 0.0352829i) q^{12} +(0.437473 - 1.26399i) q^{13} +(-1.59098 + 1.02246i) q^{14} +(-1.87286 - 0.549921i) q^{15} +(4.31847 - 0.412364i) q^{16} +(-0.285862 + 6.00098i) q^{17} +(-1.31429 - 0.677561i) q^{18} +(-0.624200 - 2.57299i) q^{19} +(0.337838 + 0.135250i) q^{20} +(1.27321 + 0.121577i) q^{21} +(-0.281736 + 1.95952i) q^{22} +(-6.37445 + 5.01292i) q^{23} +(-2.25594 - 1.44981i) q^{24} +(0.779278 + 0.899334i) q^{25} +(1.75793 - 0.906278i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-0.234140 - 0.0451268i) q^{28} +(-2.36469 + 4.09577i) q^{29} +(-1.44312 - 2.49955i) q^{30} +(-1.21923 - 3.52274i) q^{31} +(0.826375 + 0.649869i) q^{32} +(0.968954 - 0.923895i) q^{33} +(-6.42927 + 6.13029i) q^{34} +(1.96239 + 1.54324i) q^{35} +(-0.0609767 - 0.176181i) q^{36} +(-1.62936 - 2.82213i) q^{37} +(1.95747 - 3.39043i) q^{38} +(-1.31339 - 0.253135i) q^{39} +(-2.17444 - 4.76135i) q^{40} +(-2.41234 + 1.24365i) q^{41} +(1.23848 + 1.42928i) q^{42} +(0.913253 + 0.586912i) q^{43} +(-0.196201 + 0.154294i) q^{44} +(-0.277788 + 1.93206i) q^{45} +(-11.9368 - 1.13983i) q^{46} +(-3.36434 - 1.34688i) q^{47} +(-1.02275 - 4.21583i) q^{48} +(4.76786 + 2.45800i) q^{49} +(-0.0837247 + 1.75760i) q^{50} +(5.98058 - 0.571076i) q^{51} +(0.239266 + 0.0702548i) q^{52} +(10.2055 - 6.55865i) q^{53} +(-0.483622 + 1.39733i) q^{54} +(2.56606 - 0.494568i) q^{55} +(1.98949 + 2.79385i) q^{56} +(-2.45797 + 0.984022i) q^{57} +(-6.70988 + 1.97020i) q^{58} +(-1.99755 + 2.30530i) q^{59} +(0.0857940 - 0.353648i) q^{60} +(5.12616 - 7.19869i) q^{61} +(2.28980 - 5.01397i) q^{62} +(-0.0608572 - 1.27755i) q^{63} +(-1.01353 - 7.04922i) q^{64} +(-1.88954 - 1.80167i) q^{65} +1.97967 q^{66} +(-8.02477 + 1.61340i) q^{67} -1.12006 q^{68} +(5.86907 + 5.59615i) q^{69} +(0.525354 + 3.65391i) q^{70} +(0.675765 + 14.1861i) q^{71} +(-1.11400 + 2.43931i) q^{72} +(2.60213 - 3.65418i) q^{73} +(1.13601 - 4.68270i) q^{74} +(0.779278 - 0.899334i) q^{75} +(0.473613 - 0.139065i) q^{76} +(-1.58970 + 0.636419i) q^{77} +(-1.14723 - 1.61106i) q^{78} +(-9.34483 + 1.80107i) q^{79} +(2.76950 - 8.00195i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-3.85058 - 1.13063i) q^{82} +(-1.72035 + 0.164273i) q^{83} +(-0.0113459 + 0.238179i) q^{84} +(10.4231 + 5.37350i) q^{85} +(0.378443 + 1.55996i) q^{86} +(4.39061 + 1.75774i) q^{87} +(3.57400 + 0.341276i) q^{88} +(1.13673 - 7.90611i) q^{89} +(-2.26873 + 1.78415i) q^{90} +(1.43916 + 0.924894i) q^{91} +(-0.990069 - 1.14260i) q^{92} +(-3.31337 + 1.70816i) q^{93} +(-2.22602 - 4.87431i) q^{94} +(-5.07457 - 0.978042i) q^{95} +(0.525648 - 0.910450i) q^{96} +(1.90778 + 3.30437i) q^{97} +(2.59423 + 7.49553i) q^{98} +(-1.05239 - 0.827607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 2 q^{2} - 12 q^{3} + 8 q^{4} + 2 q^{5} - 9 q^{6} + 5 q^{7} - 33 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 2 q^{2} - 12 q^{3} + 8 q^{4} + 2 q^{5} - 9 q^{6} + 5 q^{7} - 33 q^{8} - 12 q^{9} - 29 q^{10} - 15 q^{11} - 3 q^{12} + 6 q^{13} - 10 q^{14} - 9 q^{15} + 20 q^{16} + 42 q^{17} + 2 q^{18} - 2 q^{19} + 5 q^{21} - 41 q^{22} - 10 q^{23} + 30 q^{25} + 27 q^{26} - 12 q^{27} + 82 q^{28} - 67 q^{29} - 18 q^{30} - 5 q^{31} - 124 q^{32} + 40 q^{33} + 12 q^{34} - 33 q^{35} - 3 q^{36} - 80 q^{37} - 22 q^{38} + 6 q^{39} - 177 q^{40} - 24 q^{41} - 32 q^{42} - 7 q^{43} + 115 q^{44} + 2 q^{45} - 85 q^{46} - 44 q^{47} + 20 q^{48} + 81 q^{49} + 14 q^{50} - 24 q^{51} - 84 q^{52} + 16 q^{53} + 2 q^{54} - 5 q^{55} + 121 q^{56} - 24 q^{57} - 40 q^{58} + 34 q^{59} + 198 q^{60} + 8 q^{61} - 66 q^{62} - 28 q^{63} - 37 q^{64} + 170 q^{65} + 58 q^{66} + 15 q^{67} - 14 q^{68} + 23 q^{69} + 84 q^{70} + 147 q^{71} + 44 q^{72} - 106 q^{73} - 33 q^{74} + 30 q^{75} + 254 q^{76} - 18 q^{77} + 71 q^{78} - 31 q^{79} + 95 q^{80} - 12 q^{81} - 108 q^{82} - 13 q^{83} - 83 q^{84} - 99 q^{85} - 111 q^{86} + 10 q^{87} - 194 q^{88} - 79 q^{89} - 29 q^{90} - 110 q^{91} + 156 q^{92} + 6 q^{93} - 150 q^{94} + 53 q^{95} - 3 q^{96} - 46 q^{97} - 71 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{33}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07016 + 1.02039i 0.756715 + 0.721526i 0.966625 0.256195i \(-0.0824688\pi\)
−0.209910 + 0.977721i \(0.567317\pi\)
\(3\) −0.142315 0.989821i −0.0821655 0.571474i
\(4\) 0.00887090 + 0.186223i 0.00443545 + 0.0931116i
\(5\) 0.810859 1.77553i 0.362627 0.794043i −0.637102 0.770779i \(-0.719867\pi\)
0.999729 0.0232633i \(-0.00740561\pi\)
\(6\) 0.857707 1.20448i 0.350157 0.491727i
\(7\) −0.301535 + 1.24295i −0.113970 + 0.469789i 0.886012 + 0.463663i \(0.153465\pi\)
−0.999981 + 0.00612628i \(0.998050\pi\)
\(8\) 1.75610 2.02665i 0.620877 0.716530i
\(9\) −0.959493 + 0.281733i −0.319831 + 0.0939109i
\(10\) 2.67949 1.07270i 0.847328 0.339219i
\(11\) 0.776595 + 1.09058i 0.234152 + 0.328821i 0.914888 0.403709i \(-0.132279\pi\)
−0.680735 + 0.732529i \(0.738340\pi\)
\(12\) 0.183065 0.0352829i 0.0528464 0.0101853i
\(13\) 0.437473 1.26399i 0.121333 0.350569i −0.867936 0.496677i \(-0.834553\pi\)
0.989269 + 0.146108i \(0.0466746\pi\)
\(14\) −1.59098 + 1.02246i −0.425208 + 0.273265i
\(15\) −1.87286 0.549921i −0.483570 0.141989i
\(16\) 4.31847 0.412364i 1.07962 0.103091i
\(17\) −0.285862 + 6.00098i −0.0693317 + 1.45545i 0.649550 + 0.760319i \(0.274957\pi\)
−0.718882 + 0.695132i \(0.755346\pi\)
\(18\) −1.31429 0.677561i −0.309780 0.159703i
\(19\) −0.624200 2.57299i −0.143201 0.590284i −0.997510 0.0705188i \(-0.977535\pi\)
0.854309 0.519765i \(-0.173981\pi\)
\(20\) 0.337838 + 0.135250i 0.0755430 + 0.0302428i
\(21\) 1.27321 + 0.121577i 0.277837 + 0.0265302i
\(22\) −0.281736 + 1.95952i −0.0600663 + 0.417770i
\(23\) −6.37445 + 5.01292i −1.32916 + 1.04527i −0.334468 + 0.942407i \(0.608557\pi\)
−0.994696 + 0.102859i \(0.967201\pi\)
\(24\) −2.25594 1.44981i −0.460493 0.295941i
\(25\) 0.779278 + 0.899334i 0.155856 + 0.179867i
\(26\) 1.75793 0.906278i 0.344759 0.177736i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −0.234140 0.0451268i −0.0442484 0.00852817i
\(29\) −2.36469 + 4.09577i −0.439112 + 0.760565i −0.997621 0.0689335i \(-0.978040\pi\)
0.558509 + 0.829499i \(0.311374\pi\)
\(30\) −1.44312 2.49955i −0.263476 0.456353i
\(31\) −1.21923 3.52274i −0.218980 0.632702i −0.999967 0.00815414i \(-0.997404\pi\)
0.780986 0.624548i \(-0.214717\pi\)
\(32\) 0.826375 + 0.649869i 0.146084 + 0.114882i
\(33\) 0.968954 0.923895i 0.168673 0.160830i
\(34\) −6.42927 + 6.13029i −1.10261 + 1.05134i
\(35\) 1.96239 + 1.54324i 0.331704 + 0.260855i
\(36\) −0.0609767 0.176181i −0.0101628 0.0293634i
\(37\) −1.62936 2.82213i −0.267864 0.463955i 0.700446 0.713706i \(-0.252985\pi\)
−0.968310 + 0.249751i \(0.919651\pi\)
\(38\) 1.95747 3.39043i 0.317543 0.550000i
\(39\) −1.31339 0.253135i −0.210310 0.0405340i
\(40\) −2.17444 4.76135i −0.343809 0.752836i
\(41\) −2.41234 + 1.24365i −0.376744 + 0.194225i −0.636190 0.771533i \(-0.719490\pi\)
0.259446 + 0.965758i \(0.416460\pi\)
\(42\) 1.23848 + 1.42928i 0.191101 + 0.220542i
\(43\) 0.913253 + 0.586912i 0.139270 + 0.0895033i 0.608420 0.793615i \(-0.291803\pi\)
−0.469151 + 0.883118i \(0.655440\pi\)
\(44\) −0.196201 + 0.154294i −0.0295785 + 0.0232608i
\(45\) −0.277788 + 1.93206i −0.0414102 + 0.288014i
\(46\) −11.9368 1.13983i −1.75998 0.168058i
\(47\) −3.36434 1.34688i −0.490739 0.196462i 0.113077 0.993586i \(-0.463929\pi\)
−0.603816 + 0.797124i \(0.706354\pi\)
\(48\) −1.02275 4.21583i −0.147621 0.608502i
\(49\) 4.76786 + 2.45800i 0.681122 + 0.351143i
\(50\) −0.0837247 + 1.75760i −0.0118405 + 0.248562i
\(51\) 5.98058 0.571076i 0.837449 0.0799666i
\(52\) 0.239266 + 0.0702548i 0.0331802 + 0.00974259i
\(53\) 10.2055 6.55865i 1.40183 0.900900i 0.401937 0.915667i \(-0.368337\pi\)
0.999891 + 0.0147671i \(0.00470070\pi\)
\(54\) −0.483622 + 1.39733i −0.0658126 + 0.190153i
\(55\) 2.56606 0.494568i 0.346008 0.0666875i
\(56\) 1.98949 + 2.79385i 0.265857 + 0.373344i
\(57\) −2.45797 + 0.984022i −0.325566 + 0.130337i
\(58\) −6.70988 + 1.97020i −0.881050 + 0.258700i
\(59\) −1.99755 + 2.30530i −0.260059 + 0.300124i −0.870731 0.491760i \(-0.836354\pi\)
0.610672 + 0.791884i \(0.290899\pi\)
\(60\) 0.0857940 0.353648i 0.0110760 0.0456557i
\(61\) 5.12616 7.19869i 0.656338 0.921697i −0.343510 0.939149i \(-0.611616\pi\)
0.999848 + 0.0174518i \(0.00555536\pi\)
\(62\) 2.28980 5.01397i 0.290805 0.636775i
\(63\) −0.0608572 1.27755i −0.00766729 0.160956i
\(64\) −1.01353 7.04922i −0.126691 0.881153i
\(65\) −1.88954 1.80167i −0.234368 0.223469i
\(66\) 1.97967 0.243680
\(67\) −8.02477 + 1.61340i −0.980382 + 0.197108i
\(68\) −1.12006 −0.135827
\(69\) 5.86907 + 5.59615i 0.706553 + 0.673697i
\(70\) 0.525354 + 3.65391i 0.0627918 + 0.436726i
\(71\) 0.675765 + 14.1861i 0.0801985 + 1.68357i 0.577808 + 0.816173i \(0.303908\pi\)
−0.497609 + 0.867401i \(0.665789\pi\)
\(72\) −1.11400 + 2.43931i −0.131286 + 0.287476i
\(73\) 2.60213 3.65418i 0.304556 0.427689i −0.633727 0.773557i \(-0.718476\pi\)
0.938283 + 0.345867i \(0.112415\pi\)
\(74\) 1.13601 4.68270i 0.132059 0.544353i
\(75\) 0.779278 0.899334i 0.0899832 0.103846i
\(76\) 0.473613 0.139065i 0.0543271 0.0159519i
\(77\) −1.58970 + 0.636419i −0.181163 + 0.0725266i
\(78\) −1.14723 1.61106i −0.129899 0.182417i
\(79\) −9.34483 + 1.80107i −1.05138 + 0.202636i −0.685534 0.728041i \(-0.740431\pi\)
−0.365842 + 0.930677i \(0.619219\pi\)
\(80\) 2.76950 8.00195i 0.309640 0.894645i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) −3.85058 1.13063i −0.425226 0.124858i
\(83\) −1.72035 + 0.164273i −0.188833 + 0.0180314i −0.189044 0.981969i \(-0.560539\pi\)
0.000211093 1.00000i \(0.499933\pi\)
\(84\) −0.0113459 + 0.238179i −0.00123794 + 0.0259875i
\(85\) 10.4231 + 5.37350i 1.13055 + 0.582838i
\(86\) 0.378443 + 1.55996i 0.0408086 + 0.168215i
\(87\) 4.39061 + 1.75774i 0.470723 + 0.188449i
\(88\) 3.57400 + 0.341276i 0.380990 + 0.0363801i
\(89\) 1.13673 7.90611i 0.120493 0.838046i −0.836507 0.547957i \(-0.815406\pi\)
0.957000 0.290089i \(-0.0936851\pi\)
\(90\) −2.26873 + 1.78415i −0.239145 + 0.188066i
\(91\) 1.43916 + 0.924894i 0.150865 + 0.0969553i
\(92\) −0.990069 1.14260i −0.103222 0.119124i
\(93\) −3.31337 + 1.70816i −0.343580 + 0.177128i
\(94\) −2.22602 4.87431i −0.229597 0.502747i
\(95\) −5.07457 0.978042i −0.520640 0.100345i
\(96\) 0.525648 0.910450i 0.0536488 0.0929224i
\(97\) 1.90778 + 3.30437i 0.193706 + 0.335508i 0.946475 0.322776i \(-0.104616\pi\)
−0.752770 + 0.658284i \(0.771283\pi\)
\(98\) 2.59423 + 7.49553i 0.262057 + 0.757163i
\(99\) −1.05239 0.827607i −0.105769 0.0831776i
\(100\) −0.160564 + 0.153097i −0.0160564 + 0.0153097i
\(101\) 1.15151 1.09797i 0.114580 0.109252i −0.630624 0.776089i \(-0.717201\pi\)
0.745204 + 0.666837i \(0.232352\pi\)
\(102\) 6.98288 + 5.49139i 0.691408 + 0.543729i
\(103\) 3.58620 + 10.3616i 0.353359 + 1.02096i 0.971937 + 0.235240i \(0.0755877\pi\)
−0.618578 + 0.785723i \(0.712291\pi\)
\(104\) −1.79343 3.10631i −0.175860 0.304599i
\(105\) 1.24825 2.16204i 0.121817 0.210994i
\(106\) 17.6138 + 3.39479i 1.71081 + 0.329731i
\(107\) 3.93818 + 8.62342i 0.380719 + 0.833657i 0.998867 + 0.0475957i \(0.0151559\pi\)
−0.618148 + 0.786062i \(0.712117\pi\)
\(108\) −0.165709 + 0.0854292i −0.0159454 + 0.00822043i
\(109\) −3.69764 4.26731i −0.354170 0.408734i 0.550508 0.834830i \(-0.314434\pi\)
−0.904678 + 0.426096i \(0.859889\pi\)
\(110\) 3.25074 + 2.08912i 0.309946 + 0.199190i
\(111\) −2.56152 + 2.01440i −0.243129 + 0.191199i
\(112\) −0.789625 + 5.49196i −0.0746126 + 0.518942i
\(113\) −7.96815 0.760866i −0.749581 0.0715763i −0.286729 0.958012i \(-0.592568\pi\)
−0.462852 + 0.886436i \(0.653174\pi\)
\(114\) −3.63450 1.45503i −0.340402 0.136276i
\(115\) 3.73183 + 15.3828i 0.347995 + 1.43445i
\(116\) −0.783704 0.404027i −0.0727651 0.0375130i
\(117\) −0.0636436 + 1.33604i −0.00588386 + 0.123517i
\(118\) −4.49000 + 0.428743i −0.413338 + 0.0394690i
\(119\) −7.37269 2.16482i −0.675854 0.198449i
\(120\) −4.40343 + 2.82992i −0.401977 + 0.258335i
\(121\) 3.01149 8.70114i 0.273772 0.791013i
\(122\) 12.8313 2.47303i 1.16169 0.223897i
\(123\) 1.57430 + 2.21079i 0.141950 + 0.199340i
\(124\) 0.645200 0.258299i 0.0579406 0.0231959i
\(125\) 11.5930 3.40400i 1.03691 0.304463i
\(126\) 1.23848 1.42928i 0.110332 0.127330i
\(127\) 0.913087 3.76380i 0.0810234 0.333983i −0.916845 0.399244i \(-0.869273\pi\)
0.997868 + 0.0652607i \(0.0207879\pi\)
\(128\) 7.32796 10.2907i 0.647707 0.909577i
\(129\) 0.450969 0.987484i 0.0397056 0.0869431i
\(130\) −0.183690 3.85613i −0.0161107 0.338205i
\(131\) −2.60857 18.1430i −0.227912 1.58516i −0.706881 0.707332i \(-0.749899\pi\)
0.478969 0.877832i \(-0.341011\pi\)
\(132\) 0.180646 + 0.172246i 0.0157232 + 0.0149921i
\(133\) 3.38631 0.293630
\(134\) −10.2341 6.46182i −0.884088 0.558216i
\(135\) 1.95192 0.167995
\(136\) 11.6599 + 11.1177i 0.999828 + 0.953334i
\(137\) −0.951716 6.61933i −0.0813106 0.565528i −0.989228 0.146380i \(-0.953238\pi\)
0.907918 0.419148i \(-0.137671\pi\)
\(138\) 0.570559 + 11.9775i 0.0485692 + 1.01959i
\(139\) 9.63736 21.1029i 0.817430 1.78992i 0.246004 0.969269i \(-0.420882\pi\)
0.571426 0.820654i \(-0.306390\pi\)
\(140\) −0.269979 + 0.379132i −0.0228174 + 0.0320425i
\(141\) −0.854373 + 3.52177i −0.0719512 + 0.296587i
\(142\) −13.7522 + 15.8708i −1.15406 + 1.33185i
\(143\) 1.71822 0.504515i 0.143685 0.0421897i
\(144\) −4.02736 + 1.61231i −0.335614 + 0.134359i
\(145\) 5.35474 + 7.51968i 0.444687 + 0.624475i
\(146\) 6.51338 1.25535i 0.539051 0.103894i
\(147\) 1.75445 5.06914i 0.144704 0.418095i
\(148\) 0.511092 0.328459i 0.0420115 0.0269991i
\(149\) −15.9696 4.68910i −1.30828 0.384146i −0.448031 0.894018i \(-0.647875\pi\)
−0.860250 + 0.509872i \(0.829693\pi\)
\(150\) 1.75162 0.167260i 0.143019 0.0136567i
\(151\) 0.684484 14.3691i 0.0557025 1.16934i −0.782024 0.623249i \(-0.785812\pi\)
0.837726 0.546091i \(-0.183885\pi\)
\(152\) −6.31072 3.25340i −0.511867 0.263886i
\(153\) −1.41639 5.83843i −0.114508 0.472009i
\(154\) −2.35062 0.941047i −0.189418 0.0758317i
\(155\) −7.24336 0.691657i −0.581801 0.0555552i
\(156\) 0.0354886 0.246829i 0.00284136 0.0197621i
\(157\) 6.97139 5.48236i 0.556378 0.437540i −0.299964 0.953951i \(-0.596975\pi\)
0.856341 + 0.516410i \(0.172732\pi\)
\(158\) −11.8382 7.60796i −0.941798 0.605257i
\(159\) −7.94428 9.16819i −0.630023 0.727085i
\(160\) 1.82394 0.940305i 0.144195 0.0743376i
\(161\) −4.30867 9.43467i −0.339571 0.743556i
\(162\) 1.45194 + 0.279838i 0.114075 + 0.0219862i
\(163\) −8.90300 + 15.4205i −0.697337 + 1.20782i 0.272049 + 0.962283i \(0.412299\pi\)
−0.969386 + 0.245540i \(0.921035\pi\)
\(164\) −0.252995 0.438201i −0.0197556 0.0342177i
\(165\) −0.854722 2.46956i −0.0665400 0.192255i
\(166\) −2.00867 1.57963i −0.155903 0.122603i
\(167\) 8.58668 8.18738i 0.664457 0.633558i −0.280846 0.959753i \(-0.590615\pi\)
0.945303 + 0.326195i \(0.105766\pi\)
\(168\) 2.48228 2.36685i 0.191512 0.182606i
\(169\) 8.81239 + 6.93014i 0.677876 + 0.533088i
\(170\) 5.67131 + 16.3862i 0.434970 + 1.25676i
\(171\) 1.32381 + 2.29291i 0.101234 + 0.175343i
\(172\) −0.101195 + 0.175275i −0.00771607 + 0.0133646i
\(173\) −8.04381 1.55032i −0.611560 0.117868i −0.125939 0.992038i \(-0.540194\pi\)
−0.485621 + 0.874170i \(0.661406\pi\)
\(174\) 2.90506 + 6.36119i 0.220232 + 0.482241i
\(175\) −1.35280 + 0.697419i −0.102262 + 0.0527199i
\(176\) 3.80341 + 4.38937i 0.286693 + 0.330861i
\(177\) 2.56611 + 1.64914i 0.192881 + 0.123957i
\(178\) 9.28381 7.30087i 0.695851 0.547223i
\(179\) −1.98342 + 13.7950i −0.148248 + 1.03109i 0.770839 + 0.637030i \(0.219837\pi\)
−0.919087 + 0.394056i \(0.871072\pi\)
\(180\) −0.362258 0.0345914i −0.0270011 0.00257829i
\(181\) 0.482810 + 0.193288i 0.0358870 + 0.0143670i 0.389537 0.921011i \(-0.372635\pi\)
−0.353650 + 0.935378i \(0.615059\pi\)
\(182\) 0.596375 + 2.45829i 0.0442063 + 0.182221i
\(183\) −7.85494 4.04950i −0.580654 0.299348i
\(184\) −1.03475 + 21.7220i −0.0762825 + 1.60137i
\(185\) −6.33196 + 0.604629i −0.465535 + 0.0444532i
\(186\) −5.28881 1.55293i −0.387794 0.113867i
\(187\) −6.76652 + 4.34858i −0.494817 + 0.317999i
\(188\) 0.220975 0.638465i 0.0161163 0.0465649i
\(189\) −1.25589 + 0.242052i −0.0913523 + 0.0176067i
\(190\) −4.43259 6.22471i −0.321574 0.451588i
\(191\) −7.98257 + 3.19574i −0.577599 + 0.231236i −0.642021 0.766687i \(-0.721904\pi\)
0.0644223 + 0.997923i \(0.479480\pi\)
\(192\) −6.83323 + 2.00642i −0.493146 + 0.144801i
\(193\) −8.23269 + 9.50103i −0.592602 + 0.683899i −0.970265 0.242044i \(-0.922182\pi\)
0.377663 + 0.925943i \(0.376728\pi\)
\(194\) −1.33013 + 5.48288i −0.0954979 + 0.393648i
\(195\) −1.51442 + 2.12671i −0.108450 + 0.152297i
\(196\) −0.415442 + 0.909690i −0.0296744 + 0.0649779i
\(197\) 0.281615 + 5.91182i 0.0200642 + 0.421200i 0.986446 + 0.164088i \(0.0524680\pi\)
−0.966382 + 0.257112i \(0.917229\pi\)
\(198\) −0.281736 1.95952i −0.0200221 0.139257i
\(199\) −16.0468 15.3006i −1.13752 1.08463i −0.995500 0.0947648i \(-0.969790\pi\)
−0.142025 0.989863i \(-0.545361\pi\)
\(200\) 3.19113 0.225647
\(201\) 2.73902 + 7.71348i 0.193196 + 0.544067i
\(202\) 2.35266 0.165532
\(203\) −4.37778 4.17420i −0.307260 0.292972i
\(204\) 0.159401 + 1.10866i 0.0111603 + 0.0776215i
\(205\) 0.252070 + 5.29160i 0.0176053 + 0.369582i
\(206\) −6.73515 + 14.7479i −0.469260 + 1.02754i
\(207\) 4.70393 6.60575i 0.326946 0.459131i
\(208\) 1.36799 5.63892i 0.0948528 0.390989i
\(209\) 2.32129 2.67891i 0.160567 0.185304i
\(210\) 3.54196 1.04001i 0.244418 0.0717677i
\(211\) −10.9662 + 4.39020i −0.754944 + 0.302234i −0.717026 0.697047i \(-0.754497\pi\)
−0.0379184 + 0.999281i \(0.512073\pi\)
\(212\) 1.31190 + 1.84231i 0.0901020 + 0.126531i
\(213\) 13.9455 2.68777i 0.955529 0.184163i
\(214\) −4.58480 + 13.2469i −0.313410 + 0.905539i
\(215\) 1.78260 1.14561i 0.121572 0.0781299i
\(216\) 2.57302 + 0.755507i 0.175072 + 0.0514057i
\(217\) 4.74621 0.453208i 0.322194 0.0307658i
\(218\) 0.397270 8.33973i 0.0269065 0.564838i
\(219\) −3.98731 2.05560i −0.269437 0.138905i
\(220\) 0.114863 + 0.473473i 0.00774408 + 0.0319215i
\(221\) 7.46015 + 2.98659i 0.501824 + 0.200900i
\(222\) −4.79671 0.458030i −0.321934 0.0307410i
\(223\) −0.329092 + 2.28889i −0.0220377 + 0.153275i −0.997869 0.0652500i \(-0.979216\pi\)
0.975831 + 0.218525i \(0.0701246\pi\)
\(224\) −1.05693 + 0.831181i −0.0706193 + 0.0555356i
\(225\) −1.00108 0.643357i −0.0667389 0.0428905i
\(226\) −7.75079 8.94488i −0.515575 0.595005i
\(227\) −3.87454 + 1.99746i −0.257162 + 0.132576i −0.581988 0.813198i \(-0.697725\pi\)
0.324825 + 0.945774i \(0.394694\pi\)
\(228\) −0.205052 0.449001i −0.0135799 0.0297358i
\(229\) −20.6786 3.98547i −1.36648 0.263367i −0.547315 0.836927i \(-0.684350\pi\)
−0.819164 + 0.573559i \(0.805562\pi\)
\(230\) −11.7029 + 20.2699i −0.771663 + 1.33656i
\(231\) 0.856178 + 1.48294i 0.0563324 + 0.0975706i
\(232\) 4.14805 + 11.9850i 0.272333 + 0.786854i
\(233\) −12.7371 10.0166i −0.834437 0.656208i 0.106679 0.994294i \(-0.465978\pi\)
−0.941115 + 0.338085i \(0.890221\pi\)
\(234\) −1.43140 + 1.36483i −0.0935734 + 0.0892220i
\(235\) −5.11943 + 4.88136i −0.333955 + 0.318425i
\(236\) −0.447020 0.351540i −0.0290985 0.0228833i
\(237\) 3.11264 + 8.99339i 0.202188 + 0.584184i
\(238\) −5.68097 9.83973i −0.368243 0.637815i
\(239\) 13.6647 23.6679i 0.883894 1.53095i 0.0369183 0.999318i \(-0.488246\pi\)
0.846976 0.531631i \(-0.178421\pi\)
\(240\) −8.31464 1.60252i −0.536708 0.103442i
\(241\) 2.07793 + 4.55003i 0.133851 + 0.293093i 0.964675 0.263442i \(-0.0848578\pi\)
−0.830824 + 0.556535i \(0.812130\pi\)
\(242\) 12.1013 6.23867i 0.777904 0.401037i
\(243\) −0.654861 0.755750i −0.0420093 0.0484814i
\(244\) 1.38604 + 0.890751i 0.0887318 + 0.0570245i
\(245\) 8.23032 6.47240i 0.525816 0.413506i
\(246\) −0.571130 + 3.97229i −0.0364139 + 0.253264i
\(247\) −3.52532 0.336627i −0.224310 0.0214190i
\(248\) −9.28046 3.71534i −0.589310 0.235924i
\(249\) 0.407433 + 1.67946i 0.0258200 + 0.106431i
\(250\) 15.8797 + 8.18656i 1.00432 + 0.517764i
\(251\) −0.681120 + 14.2985i −0.0429919 + 0.902511i 0.869629 + 0.493705i \(0.164358\pi\)
−0.912621 + 0.408806i \(0.865945\pi\)
\(252\) 0.237370 0.0226661i 0.0149529 0.00142783i
\(253\) −10.4173 3.05880i −0.654932 0.192305i
\(254\) 4.81769 3.09614i 0.302289 0.194269i
\(255\) 3.83544 11.0818i 0.240185 0.693968i
\(256\) 4.35657 0.839661i 0.272286 0.0524788i
\(257\) 6.88739 + 9.67198i 0.429623 + 0.603322i 0.971472 0.237155i \(-0.0762148\pi\)
−0.541849 + 0.840476i \(0.682275\pi\)
\(258\) 1.49023 0.596597i 0.0927776 0.0371425i
\(259\) 3.99906 1.17423i 0.248490 0.0729631i
\(260\) 0.318751 0.367858i 0.0197681 0.0228136i
\(261\) 1.11499 4.59607i 0.0690165 0.284490i
\(262\) 15.7214 22.0776i 0.971272 1.36396i
\(263\) −7.91467 + 17.3307i −0.488040 + 1.06866i 0.492134 + 0.870519i \(0.336217\pi\)
−0.980174 + 0.198138i \(0.936510\pi\)
\(264\) −0.170831 3.58619i −0.0105139 0.220715i
\(265\) −3.36992 23.4383i −0.207012 1.43980i
\(266\) 3.62388 + 3.45536i 0.222194 + 0.211862i
\(267\) −7.98741 −0.488822
\(268\) −0.371639 1.48009i −0.0227015 0.0904106i
\(269\) 28.2645 1.72332 0.861659 0.507487i \(-0.169425\pi\)
0.861659 + 0.507487i \(0.169425\pi\)
\(270\) 2.08886 + 1.99173i 0.127124 + 0.121213i
\(271\) −4.47193 31.1030i −0.271650 1.88937i −0.431319 0.902199i \(-0.641952\pi\)
0.159669 0.987171i \(-0.448957\pi\)
\(272\) 1.24010 + 26.0329i 0.0751921 + 1.57848i
\(273\) 0.710666 1.55614i 0.0430115 0.0941819i
\(274\) 5.73583 8.05484i 0.346514 0.486611i
\(275\) −0.375608 + 1.54828i −0.0226500 + 0.0933648i
\(276\) −0.990069 + 1.14260i −0.0595951 + 0.0687765i
\(277\) 26.2037 7.69411i 1.57443 0.462294i 0.626143 0.779708i \(-0.284633\pi\)
0.948287 + 0.317414i \(0.102815\pi\)
\(278\) 31.8467 12.7495i 1.91004 0.764664i
\(279\) 2.16231 + 3.03654i 0.129454 + 0.181793i
\(280\) 6.57377 1.26699i 0.392858 0.0757172i
\(281\) −4.94911 + 14.2995i −0.295239 + 0.853038i 0.695653 + 0.718378i \(0.255115\pi\)
−0.990892 + 0.134660i \(0.957006\pi\)
\(282\) −4.50790 + 2.89705i −0.268442 + 0.172517i
\(283\) 20.8351 + 6.11774i 1.23852 + 0.363662i 0.834458 0.551071i \(-0.185781\pi\)
0.404060 + 0.914733i \(0.367599\pi\)
\(284\) −2.63578 + 0.251686i −0.156405 + 0.0149348i
\(285\) −0.245901 + 5.16210i −0.0145659 + 0.305777i
\(286\) 2.35357 + 1.21335i 0.139169 + 0.0717468i
\(287\) −0.818380 3.37341i −0.0483074 0.199126i
\(288\) −0.975990 0.390728i −0.0575108 0.0230238i
\(289\) −19.0070 1.81495i −1.11806 0.106762i
\(290\) −1.94261 + 13.5112i −0.114074 + 0.793403i
\(291\) 2.99923 2.35862i 0.175818 0.138265i
\(292\) 0.703576 + 0.452161i 0.0411737 + 0.0264607i
\(293\) 4.73330 + 5.46252i 0.276522 + 0.319124i 0.876974 0.480537i \(-0.159558\pi\)
−0.600452 + 0.799661i \(0.705013\pi\)
\(294\) 7.05004 3.63455i 0.411167 0.211971i
\(295\) 2.47340 + 5.41599i 0.144007 + 0.315331i
\(296\) −8.58079 1.65381i −0.498748 0.0961259i
\(297\) −0.669413 + 1.15946i −0.0388433 + 0.0672785i
\(298\) −12.3053 21.3133i −0.712825 1.23465i
\(299\) 3.54766 + 10.2503i 0.205166 + 0.592789i
\(300\) 0.174390 + 0.137142i 0.0100684 + 0.00791788i
\(301\) −1.00488 + 0.958150i −0.0579202 + 0.0552268i
\(302\) 15.3946 14.6787i 0.885860 0.844666i
\(303\) −1.25067 0.983537i −0.0718490 0.0565027i
\(304\) −3.75660 10.8540i −0.215456 0.622518i
\(305\) −8.62491 14.9388i −0.493861 0.855392i
\(306\) 4.44173 7.69331i 0.253917 0.439797i
\(307\) −10.9062 2.10199i −0.622449 0.119967i −0.131731 0.991286i \(-0.542053\pi\)
−0.490718 + 0.871318i \(0.663265\pi\)
\(308\) −0.132618 0.290393i −0.00755661 0.0165467i
\(309\) 9.74581 5.02432i 0.554420 0.285823i
\(310\) −7.04577 8.13125i −0.400173 0.461824i
\(311\) 26.6273 + 17.1123i 1.50990 + 0.970352i 0.993479 + 0.114016i \(0.0363715\pi\)
0.516419 + 0.856336i \(0.327265\pi\)
\(312\) −2.81946 + 2.21725i −0.159621 + 0.125527i
\(313\) −3.78398 + 26.3182i −0.213883 + 1.48759i 0.546140 + 0.837694i \(0.316097\pi\)
−0.760023 + 0.649896i \(0.774812\pi\)
\(314\) 13.0546 + 1.24657i 0.736716 + 0.0703478i
\(315\) −2.31768 0.927859i −0.130586 0.0522789i
\(316\) −0.418298 1.72425i −0.0235311 0.0969965i
\(317\) −0.433359 0.223412i −0.0243399 0.0125481i 0.446014 0.895026i \(-0.352843\pi\)
−0.470353 + 0.882478i \(0.655874\pi\)
\(318\) 0.853524 17.9177i 0.0478633 1.00477i
\(319\) −6.30315 + 0.601878i −0.352909 + 0.0336987i
\(320\) −13.3380 3.91638i −0.745614 0.218932i
\(321\) 7.97518 5.12534i 0.445131 0.286069i
\(322\) 5.01611 14.4931i 0.279537 0.807669i
\(323\) 15.6189 3.01029i 0.869058 0.167497i
\(324\) 0.108143 + 0.151865i 0.00600792 + 0.00843694i
\(325\) 1.47767 0.591568i 0.0819662 0.0328143i
\(326\) −25.2625 + 7.41774i −1.39916 + 0.410831i
\(327\) −3.69764 + 4.26731i −0.204480 + 0.235983i
\(328\) −1.71588 + 7.07294i −0.0947434 + 0.390538i
\(329\) 2.68856 3.77556i 0.148225 0.208153i
\(330\) 1.60523 3.51497i 0.0883650 0.193492i
\(331\) −0.836877 17.5682i −0.0459989 0.965636i −0.897426 0.441164i \(-0.854566\pi\)
0.851428 0.524472i \(-0.175737\pi\)
\(332\) −0.0458526 0.318912i −0.00251649 0.0175026i
\(333\) 2.35844 + 2.24877i 0.129242 + 0.123232i
\(334\) 17.5434 0.959933
\(335\) −3.64231 + 15.5565i −0.199001 + 0.849942i
\(336\) 5.54844 0.302692
\(337\) 15.8902 + 15.1513i 0.865596 + 0.825344i 0.985890 0.167394i \(-0.0535351\pi\)
−0.120294 + 0.992738i \(0.538384\pi\)
\(338\) 2.35918 + 16.4084i 0.128322 + 0.892501i
\(339\) 0.380865 + 7.99533i 0.0206857 + 0.434247i
\(340\) −0.908208 + 1.98870i −0.0492545 + 0.107852i
\(341\) 2.89496 4.06540i 0.156771 0.220154i
\(342\) −0.922980 + 3.80458i −0.0499090 + 0.205728i
\(343\) −10.3558 + 11.9512i −0.559161 + 0.645306i
\(344\) 2.79324 0.820168i 0.150601 0.0442205i
\(345\) 14.6951 5.88305i 0.791160 0.316733i
\(346\) −7.02620 9.86692i −0.377731 0.530449i
\(347\) 14.5685 2.80785i 0.782079 0.150733i 0.217443 0.976073i \(-0.430229\pi\)
0.564636 + 0.825340i \(0.309016\pi\)
\(348\) −0.288382 + 0.833226i −0.0154589 + 0.0446656i
\(349\) −12.5993 + 8.09707i −0.674424 + 0.433426i −0.832518 0.553998i \(-0.813102\pi\)
0.158094 + 0.987424i \(0.449465\pi\)
\(350\) −2.15935 0.634043i −0.115422 0.0338910i
\(351\) 1.33150 0.127143i 0.0710704 0.00678640i
\(352\) −0.0669717 + 1.40591i −0.00356960 + 0.0749352i
\(353\) 19.5839 + 10.0962i 1.04234 + 0.537366i 0.892361 0.451323i \(-0.149048\pi\)
0.149983 + 0.988689i \(0.452078\pi\)
\(354\) 1.06337 + 4.38328i 0.0565176 + 0.232969i
\(355\) 25.7358 + 10.3030i 1.36591 + 0.546829i
\(356\) 1.48239 + 0.141551i 0.0785663 + 0.00750217i
\(357\) −1.09354 + 7.60574i −0.0578763 + 0.402538i
\(358\) −16.1989 + 12.7389i −0.856137 + 0.673273i
\(359\) −17.0529 10.9592i −0.900018 0.578407i 0.00677744 0.999977i \(-0.497843\pi\)
−0.906796 + 0.421570i \(0.861479\pi\)
\(360\) 3.42778 + 3.95587i 0.180660 + 0.208493i
\(361\) 10.6572 5.49418i 0.560907 0.289167i
\(362\) 0.319453 + 0.699504i 0.0167901 + 0.0367651i
\(363\) −9.04115 1.74254i −0.474538 0.0914596i
\(364\) −0.159470 + 0.276210i −0.00835850 + 0.0144774i
\(365\) −4.37816 7.58319i −0.229163 0.396922i
\(366\) −4.27393 12.3487i −0.223402 0.645478i
\(367\) 7.95154 + 6.25316i 0.415067 + 0.326412i 0.803758 0.594956i \(-0.202830\pi\)
−0.388692 + 0.921368i \(0.627073\pi\)
\(368\) −25.4607 + 24.2767i −1.32723 + 1.26551i
\(369\) 1.96424 1.87290i 0.102254 0.0974994i
\(370\) −7.39314 5.81403i −0.384351 0.302257i
\(371\) 5.07474 + 14.6625i 0.263467 + 0.761239i
\(372\) −0.347491 0.601873i −0.0180166 0.0312056i
\(373\) −7.55548 + 13.0865i −0.391208 + 0.677592i −0.992609 0.121355i \(-0.961276\pi\)
0.601401 + 0.798947i \(0.294609\pi\)
\(374\) −11.6785 2.25084i −0.603880 0.116388i
\(375\) −5.01921 10.9905i −0.259191 0.567549i
\(376\) −8.63778 + 4.45308i −0.445459 + 0.229650i
\(377\) 4.14254 + 4.78075i 0.213352 + 0.246221i
\(378\) −1.59098 1.02246i −0.0818313 0.0525898i
\(379\) 10.0217 7.88116i 0.514780 0.404828i −0.326690 0.945132i \(-0.605933\pi\)
0.841470 + 0.540304i \(0.181691\pi\)
\(380\) 0.137118 0.953678i 0.00703402 0.0489226i
\(381\) −3.85543 0.368149i −0.197520 0.0188609i
\(382\) −11.8035 4.72541i −0.603920 0.241773i
\(383\) −4.21249 17.3641i −0.215248 0.887266i −0.972267 0.233873i \(-0.924860\pi\)
0.757019 0.653393i \(-0.226655\pi\)
\(384\) −11.2288 5.78886i −0.573018 0.295411i
\(385\) −0.159037 + 3.33861i −0.00810530 + 0.170151i
\(386\) −18.5050 + 1.76702i −0.941882 + 0.0899388i
\(387\) −1.04161 0.305845i −0.0529481 0.0155470i
\(388\) −0.598427 + 0.384586i −0.0303805 + 0.0195244i
\(389\) 6.74149 19.4783i 0.341807 0.987587i −0.634823 0.772658i \(-0.718927\pi\)
0.976630 0.214929i \(-0.0689520\pi\)
\(390\) −3.79074 + 0.730606i −0.191952 + 0.0369957i
\(391\) −28.2602 39.6859i −1.42918 2.00700i
\(392\) 13.3544 5.34628i 0.674498 0.270028i
\(393\) −17.5871 + 5.16404i −0.887153 + 0.260492i
\(394\) −5.73100 + 6.61393i −0.288724 + 0.333205i
\(395\) −4.37948 + 18.0525i −0.220356 + 0.908318i
\(396\) 0.144784 0.203321i 0.00727567 0.0102172i
\(397\) −15.2723 + 33.4417i −0.766496 + 1.67839i −0.0322761 + 0.999479i \(0.510276\pi\)
−0.734219 + 0.678912i \(0.762452\pi\)
\(398\) −1.55998 32.7480i −0.0781947 1.64151i
\(399\) −0.481922 3.35184i −0.0241263 0.167802i
\(400\) 3.73614 + 3.56240i 0.186807 + 0.178120i
\(401\) −8.23091 −0.411032 −0.205516 0.978654i \(-0.565887\pi\)
−0.205516 + 0.978654i \(0.565887\pi\)
\(402\) −4.93959 + 11.0495i −0.246364 + 0.551099i
\(403\) −4.98610 −0.248375
\(404\) 0.214682 + 0.204699i 0.0106808 + 0.0101841i
\(405\) −0.277788 1.93206i −0.0138034 0.0960047i
\(406\) −0.425584 8.93410i −0.0211214 0.443392i
\(407\) 1.81239 3.96858i 0.0898369 0.196715i
\(408\) 9.34515 13.1234i 0.462654 0.649707i
\(409\) −5.15740 + 21.2591i −0.255017 + 1.05120i 0.689905 + 0.723900i \(0.257652\pi\)
−0.944922 + 0.327295i \(0.893863\pi\)
\(410\) −5.12975 + 5.92005i −0.253341 + 0.292371i
\(411\) −6.41651 + 1.88406i −0.316503 + 0.0929337i
\(412\) −1.89777 + 0.759751i −0.0934962 + 0.0374302i
\(413\) −2.26303 3.17798i −0.111356 0.156378i
\(414\) 11.7744 2.26933i 0.578680 0.111531i
\(415\) −1.10329 + 3.18774i −0.0541583 + 0.156480i
\(416\) 1.18295 0.760234i 0.0579988 0.0372735i
\(417\) −22.2596 6.53601i −1.09006 0.320070i
\(418\) 5.21768 0.498228i 0.255205 0.0243691i
\(419\) −0.333988 + 7.01127i −0.0163164 + 0.342523i 0.975918 + 0.218139i \(0.0699986\pi\)
−0.992234 + 0.124384i \(0.960304\pi\)
\(420\) 0.413695 + 0.213275i 0.0201863 + 0.0104067i
\(421\) 7.89410 + 32.5399i 0.384735 + 1.58590i 0.754193 + 0.656652i \(0.228028\pi\)
−0.369458 + 0.929247i \(0.620457\pi\)
\(422\) −16.2153 6.49161i −0.789347 0.316007i
\(423\) 3.60752 + 0.344476i 0.175403 + 0.0167490i
\(424\) 4.62975 32.2006i 0.224840 1.56380i
\(425\) −5.61965 + 4.41934i −0.272593 + 0.214370i
\(426\) 17.6664 + 11.3535i 0.855941 + 0.550080i
\(427\) 7.40186 + 8.54220i 0.358201 + 0.413386i
\(428\) −1.57095 + 0.809879i −0.0759345 + 0.0391470i
\(429\) −0.743908 1.62893i −0.0359162 0.0786455i
\(430\) 3.07663 + 0.592972i 0.148368 + 0.0285957i
\(431\) −12.0442 + 20.8611i −0.580147 + 1.00484i 0.415315 + 0.909678i \(0.363671\pi\)
−0.995461 + 0.0951657i \(0.969662\pi\)
\(432\) 2.16906 + 3.75691i 0.104359 + 0.180755i
\(433\) 7.59852 + 21.9545i 0.365162 + 1.05507i 0.966632 + 0.256170i \(0.0824608\pi\)
−0.601470 + 0.798895i \(0.705418\pi\)
\(434\) 5.54164 + 4.35799i 0.266007 + 0.209190i
\(435\) 6.68108 6.37040i 0.320333 0.305437i
\(436\) 0.761870 0.726441i 0.0364869 0.0347902i
\(437\) 16.8771 + 13.2723i 0.807342 + 0.634901i
\(438\) −2.16952 6.26843i −0.103664 0.299517i
\(439\) 1.45314 + 2.51690i 0.0693544 + 0.120125i 0.898617 0.438733i \(-0.144573\pi\)
−0.829263 + 0.558859i \(0.811239\pi\)
\(440\) 3.50396 6.06903i 0.167045 0.289330i
\(441\) −5.26722 1.01517i −0.250820 0.0483416i
\(442\) 4.93603 + 10.8084i 0.234783 + 0.514103i
\(443\) −13.1695 + 6.78937i −0.625704 + 0.322573i −0.741756 0.670670i \(-0.766007\pi\)
0.116051 + 0.993243i \(0.462976\pi\)
\(444\) −0.397851 0.459145i −0.0188812 0.0217901i
\(445\) −13.1158 8.42904i −0.621750 0.399575i
\(446\) −2.68774 + 2.11366i −0.127268 + 0.100085i
\(447\) −2.36866 + 16.4744i −0.112034 + 0.779212i
\(448\) 9.06742 + 0.865833i 0.428395 + 0.0409068i
\(449\) −26.3623 10.5539i −1.24411 0.498067i −0.346166 0.938173i \(-0.612517\pi\)
−0.897946 + 0.440106i \(0.854941\pi\)
\(450\) −0.414839 1.70999i −0.0195557 0.0806097i
\(451\) −3.22970 1.66502i −0.152080 0.0784029i
\(452\) 0.0710062 1.49060i 0.00333985 0.0701121i
\(453\) −14.3202 + 1.36742i −0.672824 + 0.0642469i
\(454\) −6.18456 1.81595i −0.290256 0.0852268i
\(455\) 2.80914 1.80532i 0.131694 0.0846349i
\(456\) −2.32218 + 6.70949i −0.108746 + 0.314201i
\(457\) 34.6948 6.68688i 1.62296 0.312799i 0.704917 0.709290i \(-0.250984\pi\)
0.918039 + 0.396491i \(0.129772\pi\)
\(458\) −18.0626 25.3653i −0.844009 1.18524i
\(459\) −5.57743 + 2.23287i −0.260332 + 0.104221i
\(460\) −2.83153 + 0.831413i −0.132021 + 0.0387648i
\(461\) 8.56951 9.88974i 0.399122 0.460611i −0.520242 0.854019i \(-0.674158\pi\)
0.919364 + 0.393408i \(0.128704\pi\)
\(462\) −0.596940 + 2.46062i −0.0277722 + 0.114478i
\(463\) 17.2453 24.2177i 0.801459 1.12549i −0.188211 0.982129i \(-0.560269\pi\)
0.989670 0.143363i \(-0.0457917\pi\)
\(464\) −8.52290 + 18.6626i −0.395666 + 0.866387i
\(465\) 0.346221 + 7.26807i 0.0160556 + 0.337048i
\(466\) −3.40987 23.7162i −0.157959 1.09863i
\(467\) 6.36043 + 6.06466i 0.294326 + 0.280639i 0.822825 0.568295i \(-0.192397\pi\)
−0.528499 + 0.848934i \(0.677245\pi\)
\(468\) −0.249367 −0.0115270
\(469\) 0.414384 10.4609i 0.0191345 0.483037i
\(470\) −10.4595 −0.482460
\(471\) −6.41869 6.12021i −0.295758 0.282004i
\(472\) 1.16413 + 8.09668i 0.0535833 + 0.372680i
\(473\) 0.0691561 + 1.45176i 0.00317980 + 0.0667522i
\(474\) −5.84577 + 12.8005i −0.268505 + 0.587944i
\(475\) 1.82755 2.56644i 0.0838538 0.117756i
\(476\) 0.337737 1.39217i 0.0154801 0.0638100i
\(477\) −7.94428 + 9.16819i −0.363744 + 0.419783i
\(478\) 38.7739 11.3850i 1.77348 0.520739i
\(479\) 19.4047 7.76846i 0.886622 0.354950i 0.116760 0.993160i \(-0.462749\pi\)
0.769862 + 0.638210i \(0.220325\pi\)
\(480\) −1.19031 1.67155i −0.0543298 0.0762956i
\(481\) −4.27995 + 0.824893i −0.195149 + 0.0376119i
\(482\) −2.41910 + 6.98954i −0.110187 + 0.318365i
\(483\) −8.72545 + 5.60750i −0.397022 + 0.255150i
\(484\) 1.64707 + 0.483623i 0.0748667 + 0.0219829i
\(485\) 7.41397 0.707948i 0.336651 0.0321463i
\(486\) 0.0703575 1.47698i 0.00319148 0.0669974i
\(487\) 1.61375 + 0.831946i 0.0731260 + 0.0376991i 0.494402 0.869234i \(-0.335387\pi\)
−0.421276 + 0.906933i \(0.638418\pi\)
\(488\) −5.58716 23.0306i −0.252919 1.04255i
\(489\) 16.5305 + 6.61782i 0.747536 + 0.299268i
\(490\) 15.4121 + 1.47168i 0.696248 + 0.0664836i
\(491\) −1.43846 + 10.0047i −0.0649168 + 0.451506i 0.931275 + 0.364317i \(0.118698\pi\)
−0.996192 + 0.0871892i \(0.972212\pi\)
\(492\) −0.397735 + 0.312783i −0.0179313 + 0.0141013i
\(493\) −23.9026 15.3613i −1.07652 0.691838i
\(494\) −3.42915 3.95745i −0.154285 0.178054i
\(495\) −2.32278 + 1.19748i −0.104401 + 0.0538226i
\(496\) −6.71786 14.7101i −0.301641 0.660501i
\(497\) −17.8363 3.43766i −0.800066 0.154200i
\(498\) −1.27769 + 2.21303i −0.0572547 + 0.0991681i
\(499\) 19.9635 + 34.5777i 0.893687 + 1.54791i 0.835421 + 0.549611i \(0.185224\pi\)
0.0582667 + 0.998301i \(0.481443\pi\)
\(500\) 0.736745 + 2.12868i 0.0329482 + 0.0951976i
\(501\) −9.32605 7.33409i −0.416657 0.327663i
\(502\) −15.3189 + 14.6066i −0.683718 + 0.651924i
\(503\) 7.02961 6.70272i 0.313435 0.298859i −0.516989 0.855992i \(-0.672947\pi\)
0.830423 + 0.557133i \(0.188099\pi\)
\(504\) −2.69602 2.12018i −0.120090 0.0944401i
\(505\) −1.01576 2.93485i −0.0452008 0.130599i
\(506\) −8.02699 13.9032i −0.356843 0.618071i
\(507\) 5.60547 9.70895i 0.248948 0.431190i
\(508\) 0.709006 + 0.136650i 0.0314571 + 0.00606285i
\(509\) −15.7846 34.5634i −0.699639 1.53200i −0.840408 0.541954i \(-0.817685\pi\)
0.140769 0.990042i \(-0.455043\pi\)
\(510\) 15.4123 7.94558i 0.682467 0.351836i
\(511\) 3.75731 + 4.33617i 0.166214 + 0.191821i
\(512\) −15.7364 10.1132i −0.695458 0.446944i
\(513\) 2.08117 1.63665i 0.0918860 0.0722599i
\(514\) −2.49863 + 17.3784i −0.110210 + 0.766527i
\(515\) 21.3054 + 2.03441i 0.938826 + 0.0896470i
\(516\) 0.187893 + 0.0752210i 0.00827153 + 0.00331142i
\(517\) −1.14386 4.71504i −0.0503067 0.207367i
\(518\) 5.47779 + 2.82400i 0.240680 + 0.124079i
\(519\) −0.389784 + 8.18257i −0.0171096 + 0.359175i
\(520\) −6.96958 + 0.665514i −0.305636 + 0.0291847i
\(521\) −36.3388 10.6700i −1.59203 0.467462i −0.638716 0.769442i \(-0.720534\pi\)
−0.953314 + 0.301980i \(0.902352\pi\)
\(522\) 5.88301 3.78078i 0.257493 0.165480i
\(523\) −9.94939 + 28.7469i −0.435056 + 1.25701i 0.488168 + 0.872750i \(0.337665\pi\)
−0.923224 + 0.384263i \(0.874456\pi\)
\(524\) 3.35551 0.646722i 0.146586 0.0282522i
\(525\) 0.882844 + 1.23978i 0.0385305 + 0.0541085i
\(526\) −26.1541 + 10.4705i −1.14037 + 0.456536i
\(527\) 21.4884 6.30956i 0.936049 0.274849i
\(528\) 3.80341 4.38937i 0.165522 0.191023i
\(529\) 10.0817 41.5575i 0.438337 1.80685i
\(530\) 20.3099 28.5213i 0.882205 1.23888i
\(531\) 1.26716 2.77469i 0.0549900 0.120411i
\(532\) 0.0300396 + 0.630609i 0.00130238 + 0.0273404i
\(533\) 0.516630 + 3.59324i 0.0223777 + 0.155641i
\(534\) −8.54778 8.15029i −0.369899 0.352698i
\(535\) 18.5045 0.800018
\(536\) −10.8225 + 19.0967i −0.467462 + 0.824853i
\(537\) 13.9368 0.601419
\(538\) 30.2475 + 28.8409i 1.30406 + 1.24342i
\(539\) 1.02206 + 7.10858i 0.0440232 + 0.306188i
\(540\) 0.0173153 + 0.363494i 0.000745133 + 0.0156423i
\(541\) 0.158015 0.346004i 0.00679358 0.0148759i −0.906205 0.422839i \(-0.861034\pi\)
0.912998 + 0.407963i \(0.133761\pi\)
\(542\) 26.9515 37.8481i 1.15767 1.62572i
\(543\) 0.122610 0.505403i 0.00526168 0.0216889i
\(544\) −4.13608 + 4.77329i −0.177333 + 0.204653i
\(545\) −10.5750 + 3.10510i −0.452984 + 0.133008i
\(546\) 2.34840 0.940157i 0.100502 0.0402350i
\(547\) −2.23862 3.14371i −0.0957166 0.134415i 0.763940 0.645287i \(-0.223262\pi\)
−0.859657 + 0.510872i \(0.829323\pi\)
\(548\) 1.22423 0.235951i 0.0522965 0.0100793i
\(549\) −2.89041 + 8.35129i −0.123360 + 0.356425i
\(550\) −1.98181 + 1.27363i −0.0845047 + 0.0543079i
\(551\) 12.0144 + 3.52775i 0.511831 + 0.150287i
\(552\) 21.6482 2.06715i 0.921407 0.0879837i
\(553\) 0.579167 12.1582i 0.0246287 0.517019i
\(554\) 35.8931 + 18.5042i 1.52495 + 0.786167i
\(555\) 1.49961 + 6.18146i 0.0636547 + 0.262388i
\(556\) 4.01534 + 1.60750i 0.170288 + 0.0681731i
\(557\) −37.4198 3.57316i −1.58553 0.151400i −0.735274 0.677770i \(-0.762947\pi\)
−0.850255 + 0.526370i \(0.823553\pi\)
\(558\) −0.784452 + 5.45598i −0.0332085 + 0.230970i
\(559\) 1.14138 0.897589i 0.0482751 0.0379640i
\(560\) 9.11089 + 5.85521i 0.385005 + 0.247428i
\(561\) 5.26729 + 6.07878i 0.222385 + 0.256646i
\(562\) −19.8874 + 10.2527i −0.838901 + 0.432484i
\(563\) 5.58487 + 12.2292i 0.235374 + 0.515398i 0.990053 0.140697i \(-0.0449343\pi\)
−0.754678 + 0.656095i \(0.772207\pi\)
\(564\) −0.663415 0.127863i −0.0279348 0.00538399i
\(565\) −7.81199 + 13.5308i −0.328653 + 0.569243i
\(566\) 16.0543 + 27.8069i 0.674813 + 1.16881i
\(567\) 0.418320 + 1.20866i 0.0175678 + 0.0507587i
\(568\) 29.9369 + 23.5427i 1.25613 + 0.987828i
\(569\) 32.6229 31.1058i 1.36762 1.30403i 0.457783 0.889064i \(-0.348644\pi\)
0.909839 0.414961i \(-0.136205\pi\)
\(570\) −5.53052 + 5.27334i −0.231648 + 0.220876i
\(571\) 13.3258 + 10.4795i 0.557666 + 0.438553i 0.856793 0.515660i \(-0.172453\pi\)
−0.299128 + 0.954213i \(0.596696\pi\)
\(572\) 0.109195 + 0.315497i 0.00456565 + 0.0131916i
\(573\) 4.29925 + 7.44652i 0.179604 + 0.311083i
\(574\) 2.56640 4.44514i 0.107120 0.185537i
\(575\) −9.47575 1.82630i −0.395166 0.0761620i
\(576\) 2.95847 + 6.47814i 0.123269 + 0.269922i
\(577\) 5.71929 2.94850i 0.238097 0.122748i −0.335049 0.942201i \(-0.608753\pi\)
0.573146 + 0.819453i \(0.305723\pi\)
\(578\) −18.4885 21.3369i −0.769020 0.887497i
\(579\) 10.5760 + 6.79676i 0.439522 + 0.282464i
\(580\) −1.35284 + 1.06388i −0.0561735 + 0.0441753i
\(581\) 0.314563 2.18784i 0.0130503 0.0907667i
\(582\) 5.61637 + 0.536298i 0.232806 + 0.0222303i
\(583\) 15.0782 + 6.03641i 0.624476 + 0.250002i
\(584\) −2.83614 11.6907i −0.117360 0.483766i
\(585\) 2.32058 + 1.19634i 0.0959444 + 0.0494628i
\(586\) −0.508540 + 10.6756i −0.0210076 + 0.441004i
\(587\) 15.8231 1.51092i 0.653090 0.0623625i 0.236749 0.971571i \(-0.423918\pi\)
0.416341 + 0.909208i \(0.363312\pi\)
\(588\) 0.959554 + 0.281751i 0.0395714 + 0.0116192i
\(589\) −8.30292 + 5.33596i −0.342116 + 0.219864i
\(590\) −2.87951 + 8.31979i −0.118547 + 0.342520i
\(591\) 5.81157 1.12009i 0.239056 0.0460743i
\(592\) −8.20006 11.5154i −0.337020 0.473279i
\(593\) −1.00239 + 0.401295i −0.0411631 + 0.0164792i −0.392153 0.919900i \(-0.628270\pi\)
0.350990 + 0.936379i \(0.385845\pi\)
\(594\) −1.89948 + 0.557737i −0.0779365 + 0.0228842i
\(595\) −9.82192 + 11.3351i −0.402660 + 0.464694i
\(596\) 0.731554 3.01551i 0.0299656 0.123520i
\(597\) −12.8611 + 18.0609i −0.526371 + 0.739185i
\(598\) −6.66276 + 14.5894i −0.272460 + 0.596605i
\(599\) −0.396392 8.32129i −0.0161961 0.339999i −0.992393 0.123112i \(-0.960713\pi\)
0.976197 0.216887i \(-0.0695903\pi\)
\(600\) −0.454145 3.15865i −0.0185404 0.128951i
\(601\) −30.9869 29.5459i −1.26398 1.20520i −0.968265 0.249927i \(-0.919593\pi\)
−0.295716 0.955276i \(-0.595558\pi\)
\(602\) −2.05307 −0.0836767
\(603\) 7.24516 3.80888i 0.295046 0.155110i
\(604\) 2.68193 0.109126
\(605\) −13.0073 12.4024i −0.528821 0.504229i
\(606\) −0.334818 2.32871i −0.0136011 0.0945974i
\(607\) −1.58875 33.3519i −0.0644852 1.35371i −0.766819 0.641863i \(-0.778162\pi\)
0.702334 0.711847i \(-0.252141\pi\)
\(608\) 1.15628 2.53190i 0.0468934 0.102682i
\(609\) −3.50869 + 4.92727i −0.142179 + 0.199663i
\(610\) 6.01341 24.7876i 0.243476 1.00362i
\(611\) −3.17425 + 3.66328i −0.128416 + 0.148200i
\(612\) 1.07469 0.315557i 0.0434416 0.0127556i
\(613\) −40.2682 + 16.1210i −1.62642 + 0.651119i −0.992496 0.122278i \(-0.960980\pi\)
−0.633922 + 0.773397i \(0.718556\pi\)
\(614\) −9.52646 13.3780i −0.384457 0.539894i
\(615\) 5.20187 1.00258i 0.209760 0.0404278i
\(616\) −1.50187 + 4.33938i −0.0605123 + 0.174839i
\(617\) 40.2127 25.8431i 1.61890 1.04041i 0.662205 0.749322i \(-0.269621\pi\)
0.956698 0.291083i \(-0.0940157\pi\)
\(618\) 15.5563 + 4.56775i 0.625767 + 0.183742i
\(619\) −4.94487 + 0.472178i −0.198751 + 0.0189784i −0.193957 0.981010i \(-0.562132\pi\)
−0.00479436 + 0.999989i \(0.501526\pi\)
\(620\) 0.0645474 1.35502i 0.00259229 0.0544188i
\(621\) −7.20795 3.71596i −0.289245 0.149116i
\(622\) 11.0341 + 45.4832i 0.442427 + 1.82371i
\(623\) 9.48411 + 3.79686i 0.379973 + 0.152118i
\(624\) −5.77621 0.551561i −0.231233 0.0220801i
\(625\) 2.50958 17.4545i 0.100383 0.698179i
\(626\) −30.9043 + 24.3034i −1.23518 + 0.971359i
\(627\) −2.98199 1.91641i −0.119089 0.0765341i
\(628\) 1.08279 + 1.24960i 0.0432079 + 0.0498645i
\(629\) 17.4013 8.97099i 0.693835 0.357697i
\(630\) −1.53350 3.35790i −0.0610961 0.133782i
\(631\) 9.49247 + 1.82952i 0.377889 + 0.0728322i 0.374659 0.927163i \(-0.377760\pi\)
0.00323008 + 0.999995i \(0.498972\pi\)
\(632\) −12.7604 + 22.1016i −0.507580 + 0.879154i
\(633\) 5.90617 + 10.2298i 0.234749 + 0.406597i
\(634\) −0.235794 0.681282i −0.00936457 0.0270572i
\(635\) −5.94236 4.67312i −0.235815 0.185447i
\(636\) 1.63686 1.56074i 0.0649056 0.0618874i
\(637\) 5.19271 4.95124i 0.205743 0.196175i
\(638\) −7.35951 5.78758i −0.291366 0.229133i
\(639\) −4.64506 13.4210i −0.183756 0.530928i
\(640\) −12.3295 21.3553i −0.487367 0.844144i
\(641\) −24.6024 + 42.6126i −0.971735 + 1.68309i −0.281423 + 0.959584i \(0.590806\pi\)
−0.690313 + 0.723511i \(0.742527\pi\)
\(642\) 13.7645 + 2.65290i 0.543243 + 0.104702i
\(643\) −6.39115 13.9947i −0.252042 0.551896i 0.740745 0.671787i \(-0.234473\pi\)
−0.992787 + 0.119891i \(0.961746\pi\)
\(644\) 1.71873 0.886068i 0.0677275 0.0349160i
\(645\) −1.38764 1.60142i −0.0546382 0.0630559i
\(646\) 19.7863 + 12.7159i 0.778483 + 0.500300i
\(647\) 29.2235 22.9817i 1.14890 0.903502i 0.152498 0.988304i \(-0.451268\pi\)
0.996398 + 0.0848017i \(0.0270257\pi\)
\(648\) 0.381638 2.65435i 0.0149922 0.104273i
\(649\) −4.06539 0.388197i −0.159580 0.0152381i
\(650\) 2.18497 + 0.874728i 0.0857014 + 0.0343097i
\(651\) −1.12405 4.63341i −0.0440551 0.181597i
\(652\) −2.95062 1.52115i −0.115555 0.0595729i
\(653\) −0.403404 + 8.46848i −0.0157864 + 0.331397i 0.977135 + 0.212621i \(0.0682001\pi\)
−0.992921 + 0.118776i \(0.962103\pi\)
\(654\) −8.31138 + 0.793640i −0.325001 + 0.0310338i
\(655\) −34.3287 10.0798i −1.34133 0.393851i
\(656\) −9.90476 + 6.36540i −0.386716 + 0.248527i
\(657\) −1.46722 + 4.23926i −0.0572418 + 0.165389i
\(658\) 6.72973 1.29705i 0.262352 0.0505642i
\(659\) 17.5597 + 24.6592i 0.684031 + 0.960587i 0.999930 + 0.0117941i \(0.00375426\pi\)
−0.315900 + 0.948793i \(0.602306\pi\)
\(660\) 0.452307 0.181076i 0.0176060 0.00704839i
\(661\) 43.7498 12.8461i 1.70167 0.499655i 0.720606 0.693345i \(-0.243864\pi\)
0.981063 + 0.193690i \(0.0620456\pi\)
\(662\) 17.0309 19.6547i 0.661924 0.763901i
\(663\) 1.89450 7.80925i 0.0735764 0.303286i
\(664\) −2.68819 + 3.77503i −0.104322 + 0.146500i
\(665\) 2.74582 6.01250i 0.106478 0.233155i
\(666\) 0.229275 + 4.81307i 0.00888421 + 0.186503i
\(667\) −5.45815 37.9623i −0.211340 1.46990i
\(668\) 1.60085 + 1.52641i 0.0619388 + 0.0590585i
\(669\) 2.31242 0.0894035
\(670\) −19.7716 + 12.9313i −0.763842 + 0.499579i
\(671\) 11.8317 0.456756
\(672\) 0.973138 + 0.927886i 0.0375396 + 0.0357940i
\(673\) 4.18504 + 29.1076i 0.161321 + 1.12201i 0.896147 + 0.443758i \(0.146355\pi\)
−0.734825 + 0.678256i \(0.762736\pi\)
\(674\) 1.54476 + 32.4285i 0.0595020 + 1.24910i
\(675\) −0.494340 + 1.08245i −0.0190271 + 0.0416636i
\(676\) −1.21238 + 1.70255i −0.0466300 + 0.0654826i
\(677\) −1.06132 + 4.37484i −0.0407900 + 0.168139i −0.988563 0.150806i \(-0.951813\pi\)
0.947773 + 0.318945i \(0.103328\pi\)
\(678\) −7.75079 + 8.94488i −0.297667 + 0.343526i
\(679\) −4.68242 + 1.37488i −0.179695 + 0.0527632i
\(680\) 29.1944 11.6877i 1.11955 0.448201i
\(681\) 2.52854 + 3.55083i 0.0968938 + 0.136068i
\(682\) 7.24636 1.39662i 0.277478 0.0534794i
\(683\) −2.97872 + 8.60646i −0.113978 + 0.329317i −0.987534 0.157406i \(-0.949687\pi\)
0.873556 + 0.486723i \(0.161808\pi\)
\(684\) −0.415249 + 0.266864i −0.0158774 + 0.0102038i
\(685\) −12.5246 3.67754i −0.478539 0.140512i
\(686\) −23.2773 + 2.22271i −0.888730 + 0.0848635i
\(687\) −1.00203 + 21.0353i −0.0382300 + 0.802547i
\(688\) 4.18588 + 2.15797i 0.159585 + 0.0822718i
\(689\) −3.82549 15.7689i −0.145740 0.600746i
\(690\) 21.7291 + 8.69902i 0.827213 + 0.331166i
\(691\) −25.5652 2.44118i −0.972546 0.0928669i −0.403330 0.915055i \(-0.632147\pi\)
−0.569216 + 0.822188i \(0.692753\pi\)
\(692\) 0.217349 1.51170i 0.00826238 0.0574661i
\(693\) 1.34600 1.05851i 0.0511304 0.0402094i
\(694\) 18.4557 + 11.8608i 0.700569 + 0.450228i
\(695\) −29.6543 34.2229i −1.12485 1.29815i
\(696\) 11.2727 5.81148i 0.427290 0.220283i
\(697\) −6.77349 14.8319i −0.256564 0.561798i
\(698\) −21.7454 4.19108i −0.823075 0.158635i
\(699\) −8.10195 + 14.0330i −0.306444 + 0.530776i
\(700\) −0.141876 0.245737i −0.00536241 0.00928797i
\(701\) −0.473221 1.36728i −0.0178733 0.0516416i 0.935711 0.352767i \(-0.114759\pi\)
−0.953585 + 0.301125i \(0.902638\pi\)
\(702\) 1.55465 + 1.22259i 0.0586765 + 0.0461437i
\(703\) −6.24426 + 5.95389i −0.235507 + 0.224555i
\(704\) 6.90061 6.57972i 0.260076 0.247982i
\(705\) 5.56025 + 4.37263i 0.209411 + 0.164683i
\(706\) 10.6557 + 30.7877i 0.401034 + 1.15871i
\(707\) 1.01749 + 1.76235i 0.0382667 + 0.0662799i
\(708\) −0.284344 + 0.492499i −0.0106863 + 0.0185092i
\(709\) 27.8871 + 5.37480i 1.04732 + 0.201855i 0.683754 0.729713i \(-0.260346\pi\)
0.363568 + 0.931568i \(0.381558\pi\)
\(710\) 17.0281 + 37.2864i 0.639055 + 1.39933i
\(711\) 8.45888 4.36085i 0.317233 0.163545i
\(712\) −14.0267 16.1877i −0.525674 0.606660i
\(713\) 25.4311 + 16.3436i 0.952403 + 0.612072i
\(714\) −8.93109 + 7.02349i −0.334238 + 0.262847i
\(715\) 0.497451 3.45985i 0.0186036 0.129391i
\(716\) −2.58654 0.246985i −0.0966636 0.00923026i
\(717\) −25.3717 10.1573i −0.947523 0.379331i
\(718\) −7.06656 29.1288i −0.263722 1.08708i
\(719\) −7.42223 3.82642i −0.276802 0.142702i 0.314236 0.949345i \(-0.398252\pi\)
−0.591039 + 0.806643i \(0.701282\pi\)
\(720\) −0.402908 + 8.45808i −0.0150155 + 0.315214i
\(721\) −13.9603 + 1.33305i −0.519910 + 0.0496454i
\(722\) 17.0111 + 4.99491i 0.633088 + 0.185891i
\(723\) 4.20800 2.70431i 0.156497 0.100575i
\(724\) −0.0317117 + 0.0916250i −0.00117856 + 0.00340522i
\(725\) −5.52622 + 1.06509i −0.205239 + 0.0395565i
\(726\) −7.89737 11.0903i −0.293099 0.411600i
\(727\) 19.4100 7.77061i 0.719879 0.288196i 0.0173481 0.999850i \(-0.494478\pi\)
0.702531 + 0.711654i \(0.252053\pi\)
\(728\) 4.40176 1.29247i 0.163140 0.0479023i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 3.05251 12.5826i 0.112979 0.465704i
\(731\) −3.78311 + 5.31264i −0.139923 + 0.196495i
\(732\) 0.684431 1.49870i 0.0252973 0.0553934i
\(733\) −1.26343 26.5227i −0.0466659 0.979637i −0.893858 0.448351i \(-0.852012\pi\)
0.847192 0.531287i \(-0.178291\pi\)
\(734\) 2.12871 + 14.8055i 0.0785723 + 0.546482i
\(735\) −7.57781 7.22543i −0.279512 0.266514i
\(736\) −8.52542 −0.314251
\(737\) −7.99153 7.49866i −0.294372 0.276217i
\(738\) 4.01314 0.147726
\(739\) −0.811263 0.773538i −0.0298428 0.0284551i 0.675011 0.737808i \(-0.264139\pi\)
−0.704854 + 0.709353i \(0.748987\pi\)
\(740\) −0.168766 1.17379i −0.00620396 0.0431495i
\(741\) 0.168504 + 3.53734i 0.00619016 + 0.129947i
\(742\) −9.53074 + 20.8694i −0.349884 + 0.766140i
\(743\) 10.6885 15.0099i 0.392122 0.550658i −0.570573 0.821247i \(-0.693279\pi\)
0.962695 + 0.270589i \(0.0872183\pi\)
\(744\) −2.35677 + 9.71475i −0.0864035 + 0.356160i
\(745\) −21.2748 + 24.5524i −0.779447 + 0.899530i
\(746\) −21.4389 + 6.29502i −0.784933 + 0.230477i
\(747\) 1.60438 0.642298i 0.0587013 0.0235004i
\(748\) −0.869831 1.22151i −0.0318042 0.0446627i
\(749\) −11.9059 + 2.29468i −0.435034 + 0.0838459i
\(750\) 5.84331 16.8831i 0.213368 0.616485i
\(751\) 19.5594 12.5701i 0.713734 0.458689i −0.132718 0.991154i \(-0.542371\pi\)
0.846452 + 0.532465i \(0.178734\pi\)
\(752\) −15.0842 4.42911i −0.550063 0.161513i
\(753\) 14.2499 1.36070i 0.519294 0.0495865i
\(754\) −0.445070 + 9.34316i −0.0162085 + 0.340258i
\(755\) −24.9578 12.8666i −0.908306 0.468264i
\(756\) −0.0562166 0.231728i −0.00204458 0.00842786i
\(757\) −16.2121 6.49036i −0.589240 0.235896i 0.0578302 0.998326i \(-0.481582\pi\)
−0.647070 + 0.762430i \(0.724006\pi\)
\(758\) 18.7667 + 1.79200i 0.681636 + 0.0650883i
\(759\) −1.54513 + 10.7466i −0.0560846 + 0.390077i
\(760\) −10.8936 + 8.56684i −0.395153 + 0.310752i
\(761\) −11.9835 7.70131i −0.434401 0.279172i 0.305110 0.952317i \(-0.401307\pi\)
−0.739511 + 0.673145i \(0.764943\pi\)
\(762\) −3.75026 4.32803i −0.135858 0.156788i
\(763\) 6.41900 3.30922i 0.232383 0.119802i
\(764\) −0.665933 1.45819i −0.0240926 0.0527555i
\(765\) −11.5148 2.21930i −0.416319 0.0802390i
\(766\) 13.2102 22.8807i 0.477304 0.826714i
\(767\) 2.04001 + 3.53340i 0.0736604 + 0.127584i
\(768\) −1.45112 4.19273i −0.0523628 0.151292i
\(769\) 11.4807 + 9.02856i 0.414006 + 0.325578i 0.803342 0.595518i \(-0.203053\pi\)
−0.389336 + 0.921096i \(0.627295\pi\)
\(770\) −3.57688 + 3.41055i −0.128902 + 0.122908i
\(771\) 8.59336 8.19375i 0.309482 0.295091i
\(772\) −1.84234 1.44884i −0.0663074 0.0521447i
\(773\) 10.0422 + 29.0150i 0.361193 + 1.04360i 0.968475 + 0.249112i \(0.0801387\pi\)
−0.607282 + 0.794487i \(0.707740\pi\)
\(774\) −0.802606 1.39016i −0.0288491 0.0499681i
\(775\) 2.21800 3.84169i 0.0796729 0.137997i
\(776\) 10.0471 + 1.93642i 0.360669 + 0.0695133i
\(777\) −1.73140 3.79125i −0.0621138 0.136010i
\(778\) 27.0899 13.9658i 0.971220 0.500699i
\(779\) 4.70567 + 5.43063i 0.168598 + 0.194572i
\(780\) −0.409476 0.263155i −0.0146616 0.00942244i
\(781\) −14.9462 + 11.7538i −0.534816 + 0.420584i
\(782\) 10.2523 71.3066i 0.366623 2.54992i
\(783\) −4.70797 0.449557i −0.168249 0.0160658i
\(784\) 21.6034 + 8.64871i 0.771551 + 0.308882i
\(785\) −4.08130 16.8234i −0.145668 0.600452i
\(786\) −24.0903 12.4194i −0.859273 0.442986i
\(787\) −0.852729 + 17.9010i −0.0303965 + 0.638101i 0.931344 + 0.364140i \(0.118637\pi\)
−0.961741 + 0.273961i \(0.911666\pi\)
\(788\) −1.09842 + 0.104886i −0.0391296 + 0.00373642i
\(789\) 18.2807 + 5.36769i 0.650810 + 0.191095i
\(790\) −23.1073 + 14.8502i −0.822122 + 0.528345i
\(791\) 3.34840 9.67455i 0.119055 0.343988i
\(792\) −3.52538 + 0.679461i −0.125269 + 0.0241436i
\(793\) −6.85654 9.62867i −0.243483 0.341924i
\(794\) −50.4674 + 20.2041i −1.79102 + 0.717017i
\(795\) −22.7201 + 6.67123i −0.805800 + 0.236604i
\(796\) 2.70697 3.12401i 0.0959460 0.110728i
\(797\) 6.33700 26.1215i 0.224468 0.925271i −0.742392 0.669965i \(-0.766309\pi\)
0.966861 0.255305i \(-0.0821759\pi\)
\(798\) 2.90446 4.07874i 0.102817 0.144386i
\(799\) 9.04431 19.8043i 0.319965 0.700625i
\(800\) 0.0595265 + 1.24962i 0.00210458 + 0.0441806i
\(801\) 1.13673 + 7.90611i 0.0401643 + 0.279349i
\(802\) −8.80836 8.39875i −0.311034 0.296570i
\(803\) 6.00596 0.211946
\(804\) −1.41213 + 0.578495i −0.0498020 + 0.0204019i
\(805\) −20.2453 −0.713552
\(806\) −5.33591 5.08778i −0.187949 0.179209i
\(807\) −4.02246 27.9768i −0.141597 0.984831i
\(808\) −0.203018 4.26186i −0.00714214 0.149932i
\(809\) −19.8875 + 43.5475i −0.699207 + 1.53105i 0.141724 + 0.989906i \(0.454736\pi\)
−0.840931 + 0.541143i \(0.817992\pi\)
\(810\) 1.67418 2.35106i 0.0588247 0.0826077i
\(811\) 5.50211 22.6800i 0.193205 0.796403i −0.789881 0.613260i \(-0.789858\pi\)
0.983086 0.183143i \(-0.0586272\pi\)
\(812\) 0.738499 0.852273i 0.0259162 0.0299089i
\(813\) −30.1499 + 8.85282i −1.05740 + 0.310482i
\(814\) 5.98905 2.39766i 0.209916 0.0840378i
\(815\) 20.1604 + 28.3114i 0.706190 + 0.991705i
\(816\) 25.5914 4.93235i 0.895880 0.172667i
\(817\) 0.940066 2.71614i 0.0328887 0.0950258i
\(818\) −27.2119 + 17.4880i −0.951440 + 0.611454i
\(819\) −1.64144 0.481970i −0.0573566 0.0168414i
\(820\) −0.983183 + 0.0938826i −0.0343342 + 0.00327852i
\(821\) 0.697426 14.6408i 0.0243403 0.510966i −0.953472 0.301482i \(-0.902519\pi\)
0.977812 0.209484i \(-0.0671784\pi\)
\(822\) −8.78915 4.53112i −0.306557 0.158041i
\(823\) 3.66410 + 15.1036i 0.127722 + 0.526479i 0.999341 + 0.0362943i \(0.0115554\pi\)
−0.871619 + 0.490184i \(0.836929\pi\)
\(824\) 27.2972 + 10.9282i 0.950943 + 0.380700i
\(825\) 1.58597 + 0.151442i 0.0552165 + 0.00527254i
\(826\) 0.820989 5.71011i 0.0285659 0.198680i
\(827\) −27.4803 + 21.6107i −0.955583 + 0.751479i −0.968648 0.248436i \(-0.920084\pi\)
0.0130651 + 0.999915i \(0.495841\pi\)
\(828\) 1.27187 + 0.817382i 0.0442006 + 0.0284060i
\(829\) −4.70262 5.42712i −0.163329 0.188492i 0.668186 0.743995i \(-0.267071\pi\)
−0.831515 + 0.555503i \(0.812526\pi\)
\(830\) −4.43343 + 2.28559i −0.153887 + 0.0793341i
\(831\) −11.3450 24.8420i −0.393553 0.861761i
\(832\) −9.35357 1.80275i −0.324277 0.0624992i
\(833\) −16.1134 + 27.9092i −0.558295 + 0.966995i
\(834\) −17.1520 29.7081i −0.593924 1.02871i
\(835\) −7.57438 21.8847i −0.262122 0.757353i
\(836\) 0.519467 + 0.408513i 0.0179661 + 0.0141287i
\(837\) 2.69791 2.57245i 0.0932533 0.0889168i
\(838\) −7.51167 + 7.16236i −0.259486 + 0.247420i
\(839\) 3.65849 + 2.87707i 0.126305 + 0.0993274i 0.679313 0.733848i \(-0.262278\pi\)
−0.553008 + 0.833176i \(0.686520\pi\)
\(840\) −2.18964 6.32655i −0.0755498 0.218287i
\(841\) 3.31646 + 5.74427i 0.114361 + 0.198078i
\(842\) −24.7556 + 42.8779i −0.853133 + 1.47767i
\(843\) 14.8583 + 2.86370i 0.511747 + 0.0986312i
\(844\) −0.914837 2.00321i −0.0314900 0.0689535i
\(845\) 19.4503 10.0273i 0.669111 0.344951i
\(846\) 3.50910 + 4.04972i 0.120646 + 0.139232i
\(847\) 9.90697 + 6.36683i 0.340408 + 0.218767i
\(848\) 41.3674 32.5317i 1.42056 1.11714i
\(849\) 3.09032 21.4937i 0.106060 0.737661i
\(850\) −10.5234 1.00486i −0.360948 0.0344664i
\(851\) 24.5333 + 9.82167i 0.840992 + 0.336682i
\(852\) 0.624235 + 2.57313i 0.0213859 + 0.0881540i
\(853\) −24.9512 12.8632i −0.854313 0.440429i −0.0253144 0.999680i \(-0.508059\pi\)
−0.828999 + 0.559251i \(0.811089\pi\)
\(854\) −0.795247 + 16.6943i −0.0272128 + 0.571267i
\(855\) 5.14456 0.491246i 0.175940 0.0168002i
\(856\) 24.3925 + 7.16230i 0.833720 + 0.244802i
\(857\) −20.6658 + 13.2811i −0.705929 + 0.453673i −0.843717 0.536789i \(-0.819637\pi\)
0.137788 + 0.990462i \(0.456001\pi\)
\(858\) 0.866051 2.50229i 0.0295665 0.0854267i
\(859\) 5.68634 1.09595i 0.194015 0.0373934i −0.0913177 0.995822i \(-0.529108\pi\)
0.285333 + 0.958428i \(0.407896\pi\)
\(860\) 0.229152 + 0.321799i 0.00781402 + 0.0109733i
\(861\) −3.22260 + 1.29014i −0.109826 + 0.0439677i
\(862\) −34.1756 + 10.0349i −1.16403 + 0.341789i
\(863\) 5.30565 6.12304i 0.180606 0.208431i −0.658226 0.752820i \(-0.728693\pi\)
0.838833 + 0.544389i \(0.183239\pi\)
\(864\) −0.247853 + 1.02166i −0.00843212 + 0.0347577i
\(865\) −9.27504 + 13.0250i −0.315361 + 0.442862i
\(866\) −14.2706 + 31.2482i −0.484934 + 1.06186i
\(867\) 0.908503 + 19.0718i 0.0308544 + 0.647713i
\(868\) 0.126501 + 0.879835i 0.00429373 + 0.0298635i
\(869\) −9.22135 8.79254i −0.312813 0.298266i
\(870\) 13.6501 0.462782
\(871\) −1.47129 + 10.8491i −0.0498528 + 0.367607i
\(872\) −15.1418 −0.512766
\(873\) −2.76145 2.63304i −0.0934610 0.0891149i
\(874\) 4.51819 + 31.4247i 0.152830 + 1.06296i
\(875\) 0.735301 + 15.4359i 0.0248577 + 0.521828i
\(876\) 0.347429 0.760764i 0.0117385 0.0257038i
\(877\) 5.40796 7.59441i 0.182614 0.256445i −0.713114 0.701048i \(-0.752716\pi\)
0.895728 + 0.444603i \(0.146655\pi\)
\(878\) −1.01315 + 4.17625i −0.0341921 + 0.140942i
\(879\) 4.73330 5.46252i 0.159650 0.184246i
\(880\) 10.8775 3.19393i 0.366681 0.107667i
\(881\) 9.66916 3.87095i 0.325762 0.130415i −0.203016 0.979175i \(-0.565074\pi\)
0.528779 + 0.848760i \(0.322650\pi\)
\(882\) −4.60088 6.46103i −0.154920 0.217554i
\(883\) 4.03036 0.776789i 0.135633 0.0261410i −0.120983 0.992655i \(-0.538605\pi\)
0.256616 + 0.966514i \(0.417393\pi\)
\(884\) −0.489994 + 1.41575i −0.0164803 + 0.0476167i
\(885\) 5.00886 3.21900i 0.168371 0.108205i
\(886\) −21.0213 6.17241i −0.706224 0.207366i
\(887\) −50.2503 + 4.79832i −1.68724 + 0.161112i −0.894081 0.447905i \(-0.852170\pi\)
−0.793158 + 0.609016i \(0.791564\pi\)
\(888\) −0.415805 + 8.72881i −0.0139535 + 0.292920i
\(889\) 4.40287 + 2.26984i 0.147667 + 0.0761279i
\(890\) −5.43507 22.4037i −0.182184 0.750973i
\(891\) 1.24292 + 0.497591i 0.0416395 + 0.0166699i
\(892\) −0.429163 0.0409801i −0.0143694 0.00137212i
\(893\) −1.36548 + 9.49712i −0.0456940 + 0.317809i
\(894\) −19.3452 + 15.2132i −0.646999 + 0.508806i
\(895\) 22.8852 + 14.7074i 0.764968 + 0.491615i
\(896\) 10.5811 + 12.2113i 0.353491 + 0.407950i
\(897\) 9.64106 4.97031i 0.321906 0.165954i
\(898\) −17.4427 38.1941i −0.582069 1.27455i
\(899\) 17.3114 + 3.33650i 0.577368 + 0.111279i
\(900\) 0.110927 0.192132i 0.00369758 0.00640440i
\(901\) 36.4410 + 63.1176i 1.21402 + 2.10275i
\(902\) −1.75730 5.07739i −0.0585118 0.169059i
\(903\) 1.09141 + 0.858292i 0.0363197 + 0.0285622i
\(904\) −15.5349 + 14.8125i −0.516684 + 0.492657i
\(905\) 0.734680 0.700516i 0.0244216 0.0232859i
\(906\) −16.7202 13.1489i −0.555491 0.436843i
\(907\) 2.73343 + 7.89773i 0.0907621 + 0.262240i 0.981241 0.192784i \(-0.0617518\pi\)
−0.890479 + 0.455024i \(0.849631\pi\)
\(908\) −0.406345 0.703810i −0.0134850 0.0233568i
\(909\) −0.795537 + 1.37791i −0.0263863 + 0.0457024i
\(910\) 4.84836 + 0.934444i 0.160721 + 0.0309765i
\(911\) −18.8360 41.2450i −0.624064 1.36651i −0.912526 0.409018i \(-0.865871\pi\)
0.288463 0.957491i \(-0.406856\pi\)
\(912\) −10.2089 + 5.26304i −0.338050 + 0.174277i
\(913\) −1.51517 1.74860i −0.0501447 0.0578701i
\(914\) 43.9521 + 28.2463i 1.45381 + 0.934305i
\(915\) −13.5593 + 10.6631i −0.448256 + 0.352512i
\(916\) 0.558749 3.88619i 0.0184616 0.128403i
\(917\) 23.3374 + 2.22845i 0.770668 + 0.0735899i
\(918\) −8.24712 3.30165i −0.272196 0.108971i
\(919\) 7.15717 + 29.5022i 0.236093 + 0.973189i 0.959262 + 0.282518i \(0.0911697\pi\)
−0.723169 + 0.690671i \(0.757315\pi\)
\(920\) 37.7291 + 19.4507i 1.24389 + 0.641271i
\(921\) −0.528487 + 11.0943i −0.0174143 + 0.365570i
\(922\) 19.2621 1.83931i 0.634364 0.0605744i
\(923\) 18.2267 + 5.35185i 0.599940 + 0.176158i
\(924\) −0.268564 + 0.172595i −0.00883509 + 0.00567797i
\(925\) 1.26832 3.66456i 0.0417019 0.120490i
\(926\) 43.1668 8.31971i 1.41855 0.273403i
\(927\) −6.36015 8.93158i −0.208895 0.293352i
\(928\) −4.61583 + 1.84790i −0.151522 + 0.0606603i
\(929\) −50.4593 + 14.8162i −1.65552 + 0.486103i −0.970233 0.242174i \(-0.922140\pi\)
−0.685283 + 0.728277i \(0.740321\pi\)
\(930\) −7.04577 + 8.13125i −0.231040 + 0.266634i
\(931\) 3.34831 13.8019i 0.109736 0.452340i
\(932\) 1.75233 2.46080i 0.0573995 0.0806063i
\(933\) 13.1487 28.7916i 0.430469 0.942596i
\(934\) 0.618326 + 12.9803i 0.0202322 + 0.424727i
\(935\) 2.23435 + 15.5403i 0.0730711 + 0.508221i
\(936\) 2.59593 + 2.47522i 0.0848507 + 0.0809050i
\(937\) 0.778642 0.0254371 0.0127186 0.999919i \(-0.495951\pi\)
0.0127186 + 0.999919i \(0.495951\pi\)
\(938\) 11.1176 10.7719i 0.363003 0.351716i
\(939\) 26.5888 0.867692
\(940\) −0.954437 0.910054i −0.0311303 0.0296827i
\(941\) −0.938843 6.52980i −0.0306054 0.212865i 0.968780 0.247922i \(-0.0797478\pi\)
−0.999385 + 0.0350570i \(0.988839\pi\)
\(942\) −0.623990 13.0992i −0.0203307 0.426794i
\(943\) 9.14301 20.0204i 0.297737 0.651954i
\(944\) −7.67574 + 10.7791i −0.249824 + 0.350829i
\(945\) −0.588575 + 2.42614i −0.0191463 + 0.0789223i
\(946\) −1.40736 + 1.62418i −0.0457573 + 0.0528067i
\(947\) 19.1598 5.62582i 0.622609 0.182815i 0.0448127 0.998995i \(-0.485731\pi\)
0.577796 + 0.816181i \(0.303913\pi\)
\(948\) −1.64717 + 0.659426i −0.0534975 + 0.0214172i
\(949\) −3.48050 4.88768i −0.112982 0.158661i
\(950\) 4.57454 0.881670i 0.148418 0.0286052i
\(951\) −0.159465 + 0.460743i −0.00517100 + 0.0149406i
\(952\) −17.3346 + 11.1402i −0.561816 + 0.361057i
\(953\) −17.8626 5.24494i −0.578627 0.169900i −0.0206933 0.999786i \(-0.506587\pi\)
−0.557933 + 0.829886i \(0.688406\pi\)
\(954\) −17.8568 + 1.70512i −0.578134 + 0.0552051i
\(955\) −0.798597 + 16.7646i −0.0258420 + 0.542490i
\(956\) 4.52873 + 2.33472i 0.146470 + 0.0755103i
\(957\) 1.49278 + 6.15334i 0.0482548 + 0.198909i
\(958\) 28.6929 + 11.4869i 0.927026 + 0.371125i
\(959\) 8.51445 + 0.813031i 0.274946 + 0.0262542i
\(960\) −1.97832 + 13.7596i −0.0638502 + 0.444088i
\(961\) 13.4445 10.5729i 0.433693 0.341060i
\(962\) −5.42193 3.48446i −0.174810 0.112344i
\(963\) −6.20816 7.16460i −0.200055 0.230876i
\(964\) −0.828888 + 0.427321i −0.0266967 + 0.0137631i
\(965\) 10.1938 + 22.3214i 0.328152 + 0.718552i
\(966\) −15.0594 2.90247i −0.484530 0.0933854i
\(967\) 19.9797 34.6058i 0.642503 1.11285i −0.342369 0.939566i \(-0.611229\pi\)
0.984872 0.173283i \(-0.0554375\pi\)
\(968\) −12.3457 21.3834i −0.396806 0.687287i
\(969\) −5.20245 15.0315i −0.167127 0.482881i
\(970\) 8.65649 + 6.80754i 0.277943 + 0.218577i
\(971\) 31.5910 30.1219i 1.01380 0.966658i 0.0143545 0.999897i \(-0.495431\pi\)
0.999447 + 0.0332388i \(0.0105822\pi\)
\(972\) 0.134929 0.128654i 0.00432785 0.00412659i
\(973\) 23.3237 + 18.3420i 0.747724 + 0.588017i
\(974\) 0.878054 + 2.53697i 0.0281347 + 0.0812898i
\(975\) −0.795841 1.37844i −0.0254873 0.0441453i
\(976\) 19.1687 33.2011i 0.613575 1.06274i
\(977\) 4.76679 + 0.918723i 0.152503 + 0.0293925i 0.264931 0.964267i \(-0.414651\pi\)
−0.112428 + 0.993660i \(0.535863\pi\)
\(978\) 10.9375 + 23.9497i 0.349742 + 0.765828i
\(979\) 9.50499 4.90016i 0.303781 0.156610i
\(980\) 1.27832 + 1.47526i 0.0408345 + 0.0471255i
\(981\) 4.75010 + 3.05270i 0.151659 + 0.0974653i
\(982\) −11.7481 + 9.23881i −0.374897 + 0.294822i
\(983\) −2.76572 + 19.2360i −0.0882128 + 0.613534i 0.896978 + 0.442074i \(0.145757\pi\)
−0.985191 + 0.171459i \(0.945152\pi\)
\(984\) 7.24514 + 0.691827i 0.230967 + 0.0220546i
\(985\) 10.7250 + 4.29363i 0.341726 + 0.136807i
\(986\) −9.90502 40.8290i −0.315440 1.30026i
\(987\) −4.11975 2.12388i −0.131133 0.0676038i
\(988\) 0.0314150 0.659482i 0.000999444 0.0209809i
\(989\) −8.76363 + 0.836825i −0.278667 + 0.0266095i
\(990\) −3.70764 1.08866i −0.117836 0.0345999i
\(991\) 7.14613 4.59254i 0.227004 0.145887i −0.422195 0.906505i \(-0.638740\pi\)
0.649200 + 0.760618i \(0.275104\pi\)
\(992\) 1.28177 3.70344i 0.0406964 0.117584i
\(993\) −17.2703 + 3.32858i −0.548056 + 0.105629i
\(994\) −15.5798 21.8788i −0.494162 0.693954i
\(995\) −40.1783 + 16.0850i −1.27374 + 0.509928i
\(996\) −0.309140 + 0.0907717i −0.00979548 + 0.00287621i
\(997\) 28.5752 32.9775i 0.904985 1.04441i −0.0938231 0.995589i \(-0.529909\pi\)
0.998808 0.0488190i \(-0.0155457\pi\)
\(998\) −13.9188 + 57.3741i −0.440592 + 1.81615i
\(999\) 1.89024 2.65447i 0.0598045 0.0839837i
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 201.2.m.b.10.5 120
3.2 odd 2 603.2.z.d.10.2 120
67.47 even 33 inner 201.2.m.b.181.5 yes 120
201.47 odd 66 603.2.z.d.181.2 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.m.b.10.5 120 1.1 even 1 trivial
201.2.m.b.181.5 yes 120 67.47 even 33 inner
603.2.z.d.10.2 120 3.2 odd 2
603.2.z.d.181.2 120 201.47 odd 66