Properties

Label 384.2.w.a.35.4
Level $384$
Weight $2$
Character 384.35
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(11,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([16, 21, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), 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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 35.4
Character \(\chi\) \(=\) 384.35
Dual form 384.2.w.a.11.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.39869 + 0.208968i) q^{2} +(-0.339181 - 1.69852i) q^{3} +(1.91266 - 0.584564i) q^{4} +(-0.321371 + 0.171776i) q^{5} +(0.829345 + 2.30482i) q^{6} +(-1.36158 + 0.270834i) q^{7} +(-2.55307 + 1.21731i) q^{8} +(-2.76991 + 1.15221i) q^{9} +O(q^{10})\) \(q+(-1.39869 + 0.208968i) q^{2} +(-0.339181 - 1.69852i) q^{3} +(1.91266 - 0.584564i) q^{4} +(-0.321371 + 0.171776i) q^{5} +(0.829345 + 2.30482i) q^{6} +(-1.36158 + 0.270834i) q^{7} +(-2.55307 + 1.21731i) q^{8} +(-2.76991 + 1.15221i) q^{9} +(0.413602 - 0.307418i) q^{10} +(-0.181039 - 0.148575i) q^{11} +(-1.64163 - 3.05042i) q^{12} +(-2.85114 - 1.52396i) q^{13} +(1.84783 - 0.663339i) q^{14} +(0.400768 + 0.487590i) q^{15} +(3.31657 - 2.23615i) q^{16} +(-5.78209 - 2.39502i) q^{17} +(3.63347 - 2.19041i) q^{18} +(1.97671 + 6.51633i) q^{19} +(-0.514260 + 0.516412i) q^{20} +(0.921837 + 2.22080i) q^{21} +(0.284265 + 0.169979i) q^{22} +(4.20927 - 2.81254i) q^{23} +(2.93357 + 3.92354i) q^{24} +(-2.70408 + 4.04694i) q^{25} +(4.30632 + 1.53576i) q^{26} +(2.89655 + 4.31393i) q^{27} +(-2.44592 + 1.31394i) q^{28} +(-6.21541 + 5.10086i) q^{29} +(-0.662440 - 0.598239i) q^{30} +(-4.89115 - 4.89115i) q^{31} +(-4.17157 + 3.82073i) q^{32} +(-0.190952 + 0.357892i) q^{33} +(8.58783 + 2.14162i) q^{34} +(0.391048 - 0.320925i) q^{35} +(-4.62437 + 3.82298i) q^{36} +(0.879289 - 2.89863i) q^{37} +(-4.12650 - 8.70125i) q^{38} +(-1.62143 + 5.35960i) q^{39} +(0.611377 - 0.829764i) q^{40} +(-0.650342 + 0.434545i) q^{41} +(-1.75344 - 2.91357i) q^{42} +(0.655730 + 6.65774i) q^{43} +(-0.433119 - 0.178345i) q^{44} +(0.692246 - 0.846092i) q^{45} +(-5.29973 + 4.81348i) q^{46} +(-3.86428 - 1.60064i) q^{47} +(-4.92305 - 4.87479i) q^{48} +(-4.68662 + 1.94126i) q^{49} +(2.93648 - 6.22548i) q^{50} +(-2.10680 + 10.6333i) q^{51} +(-6.34412 - 1.24816i) q^{52} +(-3.87295 - 3.17844i) q^{53} +(-4.95285 - 5.42856i) q^{54} +(0.0837023 + 0.0166494i) q^{55} +(3.14651 - 2.34892i) q^{56} +(10.3976 - 5.56768i) q^{57} +(7.62751 - 8.43334i) q^{58} +(0.638190 - 0.341120i) q^{59} +(1.05156 + 0.698322i) q^{60} +(-0.446058 + 4.52890i) q^{61} +(7.86329 + 5.81910i) q^{62} +(3.45939 - 2.31901i) q^{63} +(5.03632 - 6.21575i) q^{64} +1.17805 q^{65} +(0.192294 - 0.540482i) q^{66} +(-3.71202 - 0.365602i) q^{67} +(-12.4592 - 1.20087i) q^{68} +(-6.20486 - 6.19555i) q^{69} +(-0.479891 + 0.530590i) q^{70} +(14.2521 - 2.83492i) q^{71} +(5.66918 - 6.31351i) q^{72} +(0.725080 - 3.64522i) q^{73} +(-0.624131 + 4.23802i) q^{74} +(7.79097 + 3.22027i) q^{75} +(7.58998 + 11.3080i) q^{76} +(0.286738 + 0.153264i) q^{77} +(1.14788 - 7.83524i) q^{78} +(-3.36193 - 8.11643i) q^{79} +(-0.681732 + 1.28834i) q^{80} +(6.34482 - 6.38304i) q^{81} +(0.818821 - 0.743694i) q^{82} +(-2.76955 - 9.12998i) q^{83} +(3.06136 + 3.70877i) q^{84} +(2.26960 - 0.223536i) q^{85} +(-2.30842 - 9.17508i) q^{86} +(10.7720 + 8.82686i) q^{87} +(0.643067 + 0.158941i) q^{88} +(-5.05079 + 7.55905i) q^{89} +(-0.791431 + 1.32808i) q^{90} +(4.29478 + 1.30281i) q^{91} +(6.40681 - 7.84004i) q^{92} +(-6.64870 + 9.96667i) q^{93} +(5.73941 + 1.43128i) q^{94} +(-1.75461 - 1.75461i) q^{95} +(7.90450 + 5.78955i) q^{96} +(8.99316 - 8.99316i) q^{97} +(6.14946 - 3.69458i) q^{98} +(0.672652 + 0.202944i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39869 + 0.208968i −0.989023 + 0.147763i
\(3\) −0.339181 1.69852i −0.195826 0.980639i
\(4\) 1.91266 0.584564i 0.956332 0.292282i
\(5\) −0.321371 + 0.171776i −0.143721 + 0.0768207i −0.541690 0.840578i \(-0.682215\pi\)
0.397969 + 0.917399i \(0.369715\pi\)
\(6\) 0.829345 + 2.30482i 0.338579 + 0.940938i
\(7\) −1.36158 + 0.270834i −0.514627 + 0.102366i −0.445570 0.895247i \(-0.646999\pi\)
−0.0690570 + 0.997613i \(0.521999\pi\)
\(8\) −2.55307 + 1.21731i −0.902646 + 0.430384i
\(9\) −2.76991 + 1.15221i −0.923304 + 0.384070i
\(10\) 0.413602 0.307418i 0.130792 0.0972141i
\(11\) −0.181039 0.148575i −0.0545853 0.0447970i 0.606705 0.794927i \(-0.292491\pi\)
−0.661290 + 0.750130i \(0.729991\pi\)
\(12\) −1.64163 3.05042i −0.473898 0.880580i
\(13\) −2.85114 1.52396i −0.790763 0.422672i 0.0259877 0.999662i \(-0.491727\pi\)
−0.816751 + 0.576991i \(0.804227\pi\)
\(14\) 1.84783 0.663339i 0.493852 0.177285i
\(15\) 0.400768 + 0.487590i 0.103478 + 0.125895i
\(16\) 3.31657 2.23615i 0.829143 0.559037i
\(17\) −5.78209 2.39502i −1.40236 0.580878i −0.451999 0.892019i \(-0.649289\pi\)
−0.950364 + 0.311141i \(0.899289\pi\)
\(18\) 3.63347 2.19041i 0.856417 0.516284i
\(19\) 1.97671 + 6.51633i 0.453487 + 1.49495i 0.824253 + 0.566221i \(0.191595\pi\)
−0.370766 + 0.928726i \(0.620905\pi\)
\(20\) −0.514260 + 0.516412i −0.114992 + 0.115473i
\(21\) 0.921837 + 2.22080i 0.201161 + 0.484617i
\(22\) 0.284265 + 0.169979i 0.0606055 + 0.0362396i
\(23\) 4.20927 2.81254i 0.877694 0.586456i −0.0330384 0.999454i \(-0.510518\pi\)
0.910732 + 0.412998i \(0.135518\pi\)
\(24\) 2.93357 + 3.92354i 0.598813 + 0.800889i
\(25\) −2.70408 + 4.04694i −0.540816 + 0.809388i
\(26\) 4.30632 + 1.53576i 0.844538 + 0.301186i
\(27\) 2.89655 + 4.31393i 0.557441 + 0.830216i
\(28\) −2.44592 + 1.31394i −0.462235 + 0.248312i
\(29\) −6.21541 + 5.10086i −1.15417 + 0.947205i −0.999171 0.0407087i \(-0.987038\pi\)
−0.155002 + 0.987914i \(0.549538\pi\)
\(30\) −0.662440 0.598239i −0.120945 0.109223i
\(31\) −4.89115 4.89115i −0.878476 0.878476i 0.114901 0.993377i \(-0.463345\pi\)
−0.993377 + 0.114901i \(0.963345\pi\)
\(32\) −4.17157 + 3.82073i −0.737436 + 0.675417i
\(33\) −0.190952 + 0.357892i −0.0332404 + 0.0623009i
\(34\) 8.58783 + 2.14162i 1.47280 + 0.367284i
\(35\) 0.391048 0.320925i 0.0660991 0.0542462i
\(36\) −4.62437 + 3.82298i −0.770729 + 0.637163i
\(37\) 0.879289 2.89863i 0.144554 0.476531i −0.854526 0.519408i \(-0.826152\pi\)
0.999080 + 0.0428770i \(0.0136524\pi\)
\(38\) −4.12650 8.70125i −0.669407 1.41153i
\(39\) −1.62143 + 5.35960i −0.259636 + 0.858223i
\(40\) 0.611377 0.829764i 0.0966672 0.131197i
\(41\) −0.650342 + 0.434545i −0.101566 + 0.0678645i −0.605316 0.795985i \(-0.706953\pi\)
0.503750 + 0.863850i \(0.331953\pi\)
\(42\) −1.75344 2.91357i −0.270562 0.449574i
\(43\) 0.655730 + 6.65774i 0.0999978 + 1.01530i 0.905970 + 0.423342i \(0.139143\pi\)
−0.805972 + 0.591953i \(0.798357\pi\)
\(44\) −0.433119 0.178345i −0.0652951 0.0268865i
\(45\) 0.692246 0.846092i 0.103194 0.126128i
\(46\) −5.29973 + 4.81348i −0.781402 + 0.709709i
\(47\) −3.86428 1.60064i −0.563663 0.233477i 0.0826114 0.996582i \(-0.473674\pi\)
−0.646275 + 0.763105i \(0.723674\pi\)
\(48\) −4.92305 4.87479i −0.710581 0.703615i
\(49\) −4.68662 + 1.94126i −0.669517 + 0.277323i
\(50\) 2.93648 6.22548i 0.415282 0.880416i
\(51\) −2.10680 + 10.6333i −0.295011 + 1.48896i
\(52\) −6.34412 1.24816i −0.879771 0.173089i
\(53\) −3.87295 3.17844i −0.531990 0.436593i 0.329657 0.944101i \(-0.393067\pi\)
−0.861647 + 0.507508i \(0.830567\pi\)
\(54\) −4.95285 5.42856i −0.673997 0.738734i
\(55\) 0.0837023 + 0.0166494i 0.0112864 + 0.00224501i
\(56\) 3.14651 2.34892i 0.420470 0.313887i
\(57\) 10.3976 5.56768i 1.37720 0.737458i
\(58\) 7.62751 8.43334i 1.00154 1.10735i
\(59\) 0.638190 0.341120i 0.0830853 0.0444100i −0.429331 0.903147i \(-0.641251\pi\)
0.512416 + 0.858737i \(0.328751\pi\)
\(60\) 1.05156 + 0.698322i 0.135756 + 0.0901530i
\(61\) −0.446058 + 4.52890i −0.0571118 + 0.579866i 0.923459 + 0.383698i \(0.125350\pi\)
−0.980570 + 0.196168i \(0.937150\pi\)
\(62\) 7.86329 + 5.81910i 0.998639 + 0.739026i
\(63\) 3.45939 2.31901i 0.435842 0.292168i
\(64\) 5.03632 6.21575i 0.629540 0.776968i
\(65\) 1.17805 0.146119
\(66\) 0.192294 0.540482i 0.0236698 0.0665287i
\(67\) −3.71202 0.365602i −0.453495 0.0446654i −0.131309 0.991342i \(-0.541918\pi\)
−0.322187 + 0.946676i \(0.604418\pi\)
\(68\) −12.4592 1.20087i −1.51090 0.145627i
\(69\) −6.20486 6.19555i −0.746977 0.745857i
\(70\) −0.479891 + 0.530590i −0.0573580 + 0.0634177i
\(71\) 14.2521 2.83492i 1.69141 0.336443i 0.746905 0.664930i \(-0.231539\pi\)
0.944508 + 0.328487i \(0.106539\pi\)
\(72\) 5.66918 6.31351i 0.668119 0.744054i
\(73\) 0.725080 3.64522i 0.0848642 0.426641i −0.914874 0.403740i \(-0.867710\pi\)
0.999738 0.0229006i \(-0.00729011\pi\)
\(74\) −0.624131 + 4.23802i −0.0725537 + 0.492660i
\(75\) 7.79097 + 3.22027i 0.899623 + 0.371845i
\(76\) 7.58998 + 11.3080i 0.870631 + 1.29712i
\(77\) 0.286738 + 0.153264i 0.0326768 + 0.0174661i
\(78\) 1.14788 7.83524i 0.129972 0.887167i
\(79\) −3.36193 8.11643i −0.378247 0.913170i −0.992295 0.123900i \(-0.960460\pi\)
0.614047 0.789269i \(-0.289540\pi\)
\(80\) −0.681732 + 1.28834i −0.0762199 + 0.144041i
\(81\) 6.34482 6.38304i 0.704981 0.709227i
\(82\) 0.818821 0.743694i 0.0904236 0.0821273i
\(83\) −2.76955 9.12998i −0.303998 1.00215i −0.967266 0.253764i \(-0.918331\pi\)
0.663268 0.748382i \(-0.269169\pi\)
\(84\) 3.06136 + 3.70877i 0.334022 + 0.404659i
\(85\) 2.26960 0.223536i 0.246173 0.0242459i
\(86\) −2.30842 9.17508i −0.248923 0.989374i
\(87\) 10.7720 + 8.82686i 1.15488 + 0.946339i
\(88\) 0.643067 + 0.158941i 0.0685512 + 0.0169432i
\(89\) −5.05079 + 7.55905i −0.535383 + 0.801258i −0.996278 0.0861972i \(-0.972528\pi\)
0.460895 + 0.887455i \(0.347528\pi\)
\(90\) −0.791431 + 1.32808i −0.0834242 + 0.139992i
\(91\) 4.29478 + 1.30281i 0.450215 + 0.136571i
\(92\) 6.40681 7.84004i 0.667956 0.817381i
\(93\) −6.64870 + 9.96667i −0.689438 + 1.03350i
\(94\) 5.73941 + 1.43128i 0.591975 + 0.147626i
\(95\) −1.75461 1.75461i −0.180019 0.180019i
\(96\) 7.90450 + 5.78955i 0.806749 + 0.590894i
\(97\) 8.99316 8.99316i 0.913117 0.913117i −0.0833995 0.996516i \(-0.526578\pi\)
0.996516 + 0.0833995i \(0.0265778\pi\)
\(98\) 6.14946 3.69458i 0.621190 0.373209i
\(99\) 0.672652 + 0.202944i 0.0676041 + 0.0203967i
\(100\) −2.80630 + 9.32115i −0.280630 + 0.932115i
\(101\) 4.31870 14.2368i 0.429727 1.41662i −0.428590 0.903499i \(-0.640989\pi\)
0.858317 0.513120i \(-0.171511\pi\)
\(102\) 0.724735 15.3130i 0.0717595 1.51621i
\(103\) −6.63465 4.43313i −0.653731 0.436809i 0.183975 0.982931i \(-0.441104\pi\)
−0.837706 + 0.546122i \(0.816104\pi\)
\(104\) 9.13428 + 0.420070i 0.895690 + 0.0411913i
\(105\) −0.677732 0.555349i −0.0661398 0.0541965i
\(106\) 6.08124 + 3.63633i 0.590663 + 0.353192i
\(107\) 1.39310 + 14.1444i 0.134676 + 1.36739i 0.790494 + 0.612470i \(0.209824\pi\)
−0.655817 + 0.754919i \(0.727676\pi\)
\(108\) 8.06189 + 6.55789i 0.775756 + 0.631033i
\(109\) −0.534798 + 0.162229i −0.0512243 + 0.0155387i −0.315793 0.948828i \(-0.602270\pi\)
0.264569 + 0.964367i \(0.414770\pi\)
\(110\) −0.120553 0.00579625i −0.0114943 0.000552650i
\(111\) −5.22160 0.510326i −0.495613 0.0484380i
\(112\) −3.91014 + 3.94293i −0.369473 + 0.372571i
\(113\) −2.24751 + 0.930950i −0.211428 + 0.0875764i −0.485884 0.874023i \(-0.661502\pi\)
0.274456 + 0.961600i \(0.411502\pi\)
\(114\) −13.3796 + 9.96023i −1.25311 + 0.932861i
\(115\) −0.869608 + 1.62692i −0.0810914 + 0.151711i
\(116\) −8.90622 + 13.3895i −0.826922 + 1.24319i
\(117\) 9.65332 + 0.936139i 0.892450 + 0.0865461i
\(118\) −0.821347 + 0.610482i −0.0756111 + 0.0561994i
\(119\) 8.52140 + 1.69501i 0.781156 + 0.155382i
\(120\) −1.61674 0.756993i −0.147587 0.0691036i
\(121\) −2.13529 10.7348i −0.194118 0.975895i
\(122\) −0.322500 6.42774i −0.0291978 0.581940i
\(123\) 0.958665 + 0.957227i 0.0864399 + 0.0863103i
\(124\) −12.2143 6.49594i −1.09688 0.583352i
\(125\) 0.352430 3.57828i 0.0315223 0.320051i
\(126\) −4.35401 + 3.96647i −0.387886 + 0.353362i
\(127\) 4.77665i 0.423859i −0.977285 0.211930i \(-0.932025\pi\)
0.977285 0.211930i \(-0.0679748\pi\)
\(128\) −5.74535 + 9.74633i −0.507822 + 0.861462i
\(129\) 11.0859 3.37195i 0.976055 0.296883i
\(130\) −1.64773 + 0.246176i −0.144515 + 0.0215910i
\(131\) 9.98659 + 0.983594i 0.872533 + 0.0859370i 0.524363 0.851495i \(-0.324303\pi\)
0.348169 + 0.937432i \(0.386803\pi\)
\(132\) −0.156016 + 0.796150i −0.0135795 + 0.0692960i
\(133\) −4.45628 8.33711i −0.386408 0.722919i
\(134\) 5.26836 0.264331i 0.455117 0.0228347i
\(135\) −1.67190 0.888813i −0.143894 0.0764968i
\(136\) 17.6775 0.923941i 1.51584 0.0792273i
\(137\) 1.41756 7.12654i 0.121110 0.608862i −0.871787 0.489885i \(-0.837039\pi\)
0.992897 0.118977i \(-0.0379613\pi\)
\(138\) 9.97334 + 7.36903i 0.848987 + 0.627294i
\(139\) −3.79829 + 4.62823i −0.322167 + 0.392562i −0.908759 0.417321i \(-0.862969\pi\)
0.586592 + 0.809882i \(0.300469\pi\)
\(140\) 0.560342 0.842413i 0.0473576 0.0711969i
\(141\) −1.40802 + 7.10645i −0.118576 + 0.598471i
\(142\) −19.3419 + 6.94341i −1.62313 + 0.582678i
\(143\) 0.289744 + 0.699505i 0.0242296 + 0.0584955i
\(144\) −6.61010 + 10.0153i −0.550841 + 0.834610i
\(145\) 1.12125 2.70693i 0.0931144 0.224798i
\(146\) −0.252426 + 5.25005i −0.0208909 + 0.434497i
\(147\) 4.88688 + 7.30186i 0.403063 + 0.602247i
\(148\) −0.0126471 6.05810i −0.00103958 0.497973i
\(149\) −8.65981 + 0.852917i −0.709439 + 0.0698737i −0.446299 0.894884i \(-0.647258\pi\)
−0.263140 + 0.964758i \(0.584758\pi\)
\(150\) −11.5701 2.87610i −0.944693 0.234832i
\(151\) −10.3561 15.4990i −0.842765 1.26129i −0.963259 0.268573i \(-0.913448\pi\)
0.120495 0.992714i \(-0.461552\pi\)
\(152\) −12.9791 14.2304i −1.05274 1.15424i
\(153\) 18.7754 0.0281867i 1.51790 0.00227876i
\(154\) −0.433084 0.154450i −0.0348989 0.0124460i
\(155\) 2.41205 + 0.731689i 0.193741 + 0.0587706i
\(156\) 0.0317856 + 11.1989i 0.00254488 + 0.896633i
\(157\) −6.36307 7.75342i −0.507828 0.618790i 0.454478 0.890758i \(-0.349826\pi\)
−0.962306 + 0.271968i \(0.912326\pi\)
\(158\) 6.39838 + 10.6498i 0.509028 + 0.847255i
\(159\) −4.08501 + 7.65633i −0.323962 + 0.607186i
\(160\) 0.684309 1.94445i 0.0540994 0.153722i
\(161\) −4.96951 + 4.96951i −0.391652 + 0.391652i
\(162\) −7.54059 + 10.2538i −0.592444 + 0.805611i
\(163\) −3.25235 3.96300i −0.254743 0.310406i 0.629898 0.776678i \(-0.283097\pi\)
−0.884641 + 0.466272i \(0.845597\pi\)
\(164\) −0.989868 + 1.21130i −0.0772957 + 0.0945870i
\(165\) −0.000110955 0.147817i −8.63786e−6 0.0115075i
\(166\) 5.78162 + 12.1913i 0.448741 + 0.946226i
\(167\) −13.7421 9.18215i −1.06339 0.710536i −0.104563 0.994518i \(-0.533344\pi\)
−0.958830 + 0.283982i \(0.908344\pi\)
\(168\) −5.05691 4.54768i −0.390149 0.350861i
\(169\) −1.41590 2.11904i −0.108915 0.163003i
\(170\) −3.12776 + 0.786933i −0.239888 + 0.0603550i
\(171\) −12.9835 15.7721i −0.992871 1.20612i
\(172\) 5.14606 + 12.3507i 0.392383 + 0.941732i
\(173\) −10.0807 + 3.05796i −0.766424 + 0.232492i −0.649205 0.760614i \(-0.724898\pi\)
−0.117219 + 0.993106i \(0.537398\pi\)
\(174\) −16.9113 10.0950i −1.28204 0.765302i
\(175\) 2.58576 6.24257i 0.195465 0.471894i
\(176\) −0.932665 0.0879291i −0.0703022 0.00662791i
\(177\) −0.795860 0.968275i −0.0598205 0.0727800i
\(178\) 5.48489 11.6282i 0.411110 0.871572i
\(179\) −0.660765 + 1.23620i −0.0493879 + 0.0923982i −0.905404 0.424550i \(-0.860432\pi\)
0.856016 + 0.516949i \(0.172932\pi\)
\(180\) 0.829441 2.02295i 0.0618229 0.150782i
\(181\) −8.72779 + 10.6348i −0.648731 + 0.790482i −0.988692 0.149958i \(-0.952086\pi\)
0.339961 + 0.940440i \(0.389586\pi\)
\(182\) −6.27931 0.924750i −0.465453 0.0685470i
\(183\) 7.84370 0.778482i 0.579823 0.0575471i
\(184\) −7.32282 + 12.3046i −0.539845 + 0.907107i
\(185\) 0.215338 + 1.08257i 0.0158319 + 0.0795925i
\(186\) 7.21675 15.3297i 0.529158 1.12402i
\(187\) 0.690944 + 1.29267i 0.0505268 + 0.0945291i
\(188\) −8.32675 0.802565i −0.607290 0.0585330i
\(189\) −5.11223 5.08926i −0.371860 0.370189i
\(190\) 2.82081 + 2.08749i 0.204643 + 0.151443i
\(191\) 8.74939i 0.633083i 0.948579 + 0.316542i \(0.102522\pi\)
−0.948579 + 0.316542i \(0.897478\pi\)
\(192\) −12.2658 6.44600i −0.885206 0.465200i
\(193\) 4.02910i 0.290021i 0.989430 + 0.145010i \(0.0463215\pi\)
−0.989430 + 0.145010i \(0.953678\pi\)
\(194\) −10.6993 + 14.4579i −0.768168 + 1.03802i
\(195\) −0.399574 2.00094i −0.0286141 0.143290i
\(196\) −7.82914 + 6.45261i −0.559224 + 0.460901i
\(197\) 12.1911 + 22.8080i 0.868583 + 1.62501i 0.777256 + 0.629184i \(0.216611\pi\)
0.0913272 + 0.995821i \(0.470889\pi\)
\(198\) −0.983240 0.143293i −0.0698758 0.0101834i
\(199\) 4.74872 + 23.8734i 0.336628 + 1.69234i 0.664232 + 0.747527i \(0.268759\pi\)
−0.327604 + 0.944815i \(0.606241\pi\)
\(200\) 1.97732 13.6238i 0.139818 0.963349i
\(201\) 0.638067 + 6.42893i 0.0450058 + 0.453462i
\(202\) −3.06547 + 20.8154i −0.215686 + 1.46457i
\(203\) 7.08127 8.62855i 0.497008 0.605606i
\(204\) 2.18624 + 21.5695i 0.153068 + 1.51017i
\(205\) 0.134357 0.251363i 0.00938387 0.0175560i
\(206\) 10.2062 + 4.81414i 0.711099 + 0.335417i
\(207\) −8.41867 + 12.6405i −0.585138 + 0.878573i
\(208\) −12.8638 + 1.32123i −0.891945 + 0.0916107i
\(209\) 0.610302 1.47340i 0.0422155 0.101917i
\(210\) 1.06399 + 0.635137i 0.0734220 + 0.0438286i
\(211\) 19.6003 5.94570i 1.34934 0.409319i 0.468808 0.883300i \(-0.344684\pi\)
0.880535 + 0.473982i \(0.157184\pi\)
\(212\) −9.26565 3.81532i −0.636367 0.262037i
\(213\) −9.64920 23.2459i −0.661153 1.59278i
\(214\) −4.90424 19.4925i −0.335247 1.33248i
\(215\) −1.35437 2.02696i −0.0923675 0.138238i
\(216\) −12.6465 7.48777i −0.860484 0.509478i
\(217\) 7.98436 + 5.33498i 0.542013 + 0.362162i
\(218\) 0.714115 0.338664i 0.0483660 0.0229372i
\(219\) −6.43740 + 0.00483209i −0.434999 + 0.000326522i
\(220\) 0.169827 0.0170846i 0.0114497 0.00115184i
\(221\) 12.8356 + 15.6402i 0.863416 + 1.05208i
\(222\) 7.41004 0.377362i 0.497329 0.0253269i
\(223\) 11.1231 11.1231i 0.744860 0.744860i −0.228649 0.973509i \(-0.573431\pi\)
0.973509 + 0.228649i \(0.0734309\pi\)
\(224\) 4.64512 6.33202i 0.310365 0.423076i
\(225\) 2.82714 14.3253i 0.188476 0.955022i
\(226\) 2.94903 1.77177i 0.196167 0.117856i
\(227\) −13.5200 16.4742i −0.897356 1.09343i −0.995164 0.0982257i \(-0.968683\pi\)
0.0978085 0.995205i \(-0.468817\pi\)
\(228\) 16.6325 16.7272i 1.10151 1.10778i
\(229\) 4.76181 + 1.44448i 0.314669 + 0.0954539i 0.443669 0.896191i \(-0.353677\pi\)
−0.129000 + 0.991645i \(0.541177\pi\)
\(230\) 0.876336 2.45728i 0.0577839 0.162028i
\(231\) 0.163066 0.539013i 0.0107290 0.0354644i
\(232\) 9.65905 20.5889i 0.634148 1.35173i
\(233\) 12.3351 + 18.4607i 0.808097 + 1.20940i 0.974730 + 0.223384i \(0.0717105\pi\)
−0.166633 + 0.986019i \(0.553290\pi\)
\(234\) −13.6976 + 0.707871i −0.895442 + 0.0462750i
\(235\) 1.51682 0.149394i 0.0989463 0.00974536i
\(236\) 1.02124 1.02551i 0.0664769 0.0667550i
\(237\) −12.6456 + 8.46324i −0.821418 + 0.549747i
\(238\) −12.2730 0.590093i −0.795541 0.0382500i
\(239\) 0.871052 2.10291i 0.0563437 0.136026i −0.893201 0.449658i \(-0.851546\pi\)
0.949545 + 0.313632i \(0.101546\pi\)
\(240\) 2.41950 + 0.720951i 0.156178 + 0.0465372i
\(241\) −2.89552 6.99040i −0.186517 0.450291i 0.802768 0.596292i \(-0.203360\pi\)
−0.989285 + 0.146001i \(0.953360\pi\)
\(242\) 5.22985 + 14.5685i 0.336188 + 0.936499i
\(243\) −12.9937 8.61178i −0.833549 0.552446i
\(244\) 1.79427 + 8.92301i 0.114866 + 0.571237i
\(245\) 1.17268 1.42891i 0.0749198 0.0912900i
\(246\) −1.54091 1.13853i −0.0982445 0.0725902i
\(247\) 4.29479 21.5914i 0.273271 1.37383i
\(248\) 18.4415 + 6.53339i 1.17103 + 0.414871i
\(249\) −14.5680 + 7.80084i −0.923212 + 0.494358i
\(250\) 0.254808 + 5.07855i 0.0161154 + 0.321196i
\(251\) 5.62447 + 10.5226i 0.355014 + 0.664184i 0.994514 0.104607i \(-0.0333586\pi\)
−0.639500 + 0.768791i \(0.720859\pi\)
\(252\) 5.26104 6.45772i 0.331414 0.406798i
\(253\) −1.17992 0.116212i −0.0741807 0.00730616i
\(254\) 0.998169 + 6.68105i 0.0626307 + 0.419207i
\(255\) −1.14949 3.77913i −0.0719836 0.236659i
\(256\) 5.99928 14.8327i 0.374955 0.927043i
\(257\) 24.0854i 1.50241i 0.660070 + 0.751204i \(0.270527\pi\)
−0.660070 + 0.751204i \(0.729473\pi\)
\(258\) −14.8010 + 7.03290i −0.921473 + 0.437849i
\(259\) −0.412171 + 4.18484i −0.0256111 + 0.260033i
\(260\) 2.25322 0.688647i 0.139739 0.0427081i
\(261\) 11.3389 21.2904i 0.701859 1.31784i
\(262\) −14.1737 + 0.711140i −0.875653 + 0.0439343i
\(263\) 1.18329 + 5.94881i 0.0729649 + 0.366819i 0.999966 0.00823925i \(-0.00262266\pi\)
−0.927001 + 0.375058i \(0.877623\pi\)
\(264\) 0.0518483 1.14617i 0.00319104 0.0705418i
\(265\) 1.79063 + 0.356179i 0.109998 + 0.0218799i
\(266\) 7.97514 + 10.7298i 0.488987 + 0.657887i
\(267\) 14.5523 + 6.01497i 0.890586 + 0.368110i
\(268\) −7.31356 + 1.47064i −0.446747 + 0.0898335i
\(269\) −0.143808 + 0.269046i −0.00876813 + 0.0164040i −0.886267 0.463174i \(-0.846710\pi\)
0.877499 + 0.479578i \(0.159210\pi\)
\(270\) 2.52420 + 0.893800i 0.153618 + 0.0543949i
\(271\) −20.1002 + 8.32578i −1.22100 + 0.505755i −0.897728 0.440550i \(-0.854783\pi\)
−0.323273 + 0.946306i \(0.604783\pi\)
\(272\) −24.5323 + 4.98635i −1.48749 + 0.302342i
\(273\) 0.756129 7.73664i 0.0457630 0.468243i
\(274\) −0.493501 + 10.2640i −0.0298135 + 0.620074i
\(275\) 1.09082 0.330896i 0.0657788 0.0199538i
\(276\) −15.4895 8.22287i −0.932359 0.494959i
\(277\) 2.22554 + 22.5963i 0.133720 + 1.35768i 0.794575 + 0.607166i \(0.207694\pi\)
−0.660855 + 0.750514i \(0.729806\pi\)
\(278\) 4.34548 7.26718i 0.260624 0.435857i
\(279\) 19.1837 + 7.91242i 1.14850 + 0.473704i
\(280\) −0.607707 + 1.29537i −0.0363175 + 0.0774131i
\(281\) 27.5449 + 18.4049i 1.64319 + 1.09794i 0.906963 + 0.421210i \(0.138395\pi\)
0.736227 + 0.676734i \(0.236605\pi\)
\(282\) 0.484355 10.2339i 0.0288429 0.609422i
\(283\) −0.552743 + 1.82215i −0.0328571 + 0.108315i −0.971835 0.235662i \(-0.924274\pi\)
0.938978 + 0.343977i \(0.111774\pi\)
\(284\) 25.6023 13.7535i 1.51922 0.816121i
\(285\) −2.38510 + 3.57536i −0.141281 + 0.211786i
\(286\) −0.551437 0.917842i −0.0326071 0.0542732i
\(287\) 0.767801 0.767801i 0.0453218 0.0453218i
\(288\) 7.15259 15.3896i 0.421470 0.906842i
\(289\) 15.6756 + 15.6756i 0.922095 + 0.922095i
\(290\) −1.00261 + 4.02045i −0.0588754 + 0.236089i
\(291\) −18.3253 12.2247i −1.07425 0.716625i
\(292\) −0.744030 7.39594i −0.0435410 0.432815i
\(293\) −9.68693 2.93850i −0.565917 0.171669i −0.00565411 0.999984i \(-0.501800\pi\)
−0.560263 + 0.828315i \(0.689300\pi\)
\(294\) −8.36108 9.19183i −0.487628 0.536078i
\(295\) −0.146499 + 0.219252i −0.00852953 + 0.0127653i
\(296\) 1.28364 + 8.47076i 0.0746101 + 0.492353i
\(297\) 0.116553 1.21134i 0.00676311 0.0702894i
\(298\) 11.9342 3.00259i 0.691327 0.173935i
\(299\) −16.2874 + 1.60417i −0.941926 + 0.0927716i
\(300\) 16.7840 + 1.60499i 0.969022 + 0.0926641i
\(301\) −2.69597 8.88742i −0.155393 0.512262i
\(302\) 17.7237 + 19.5141i 1.01989 + 1.12291i
\(303\) −25.6463 2.50651i −1.47334 0.143995i
\(304\) 21.1274 + 17.1917i 1.21174 + 0.986009i
\(305\) −0.634607 1.53208i −0.0363375 0.0877265i
\(306\) −26.2551 + 3.96290i −1.50091 + 0.226544i
\(307\) 14.4689 + 7.73380i 0.825785 + 0.441391i 0.829436 0.558602i \(-0.188662\pi\)
−0.00365112 + 0.999993i \(0.501162\pi\)
\(308\) 0.638026 + 0.125527i 0.0363549 + 0.00715257i
\(309\) −5.27939 + 12.7727i −0.300334 + 0.726613i
\(310\) −3.52661 0.519362i −0.200298 0.0294978i
\(311\) 2.55234 12.8315i 0.144730 0.727606i −0.838452 0.544976i \(-0.816539\pi\)
0.983182 0.182630i \(-0.0584611\pi\)
\(312\) −2.38468 15.6572i −0.135006 0.886415i
\(313\) 4.32184 0.859668i 0.244285 0.0485913i −0.0714291 0.997446i \(-0.522756\pi\)
0.315714 + 0.948854i \(0.397756\pi\)
\(314\) 10.5202 + 9.51495i 0.593688 + 0.536960i
\(315\) −0.713395 + 1.33950i −0.0401953 + 0.0754724i
\(316\) −11.1748 13.5587i −0.628633 0.762739i
\(317\) −18.1683 1.78942i −1.02043 0.100504i −0.426062 0.904694i \(-0.640099\pi\)
−0.594372 + 0.804190i \(0.702599\pi\)
\(318\) 4.11373 11.5625i 0.230686 0.648391i
\(319\) 1.88309 0.105433
\(320\) −0.550807 + 2.86268i −0.0307911 + 0.160029i
\(321\) 23.5520 7.16372i 1.31454 0.399840i
\(322\) 5.91233 7.98927i 0.329481 0.445224i
\(323\) 4.17724 42.4122i 0.232428 2.35988i
\(324\) 8.40423 15.9176i 0.466902 0.884309i
\(325\) 13.8771 7.41746i 0.769763 0.411447i
\(326\) 5.37716 + 4.86336i 0.297814 + 0.269357i
\(327\) 0.456942 + 0.853337i 0.0252690 + 0.0471897i
\(328\) 1.13139 1.90109i 0.0624707 0.104970i
\(329\) 5.69502 + 1.13281i 0.313977 + 0.0624538i
\(330\) 0.0310442 + 0.206727i 0.00170893 + 0.0113799i
\(331\) 24.6053 + 20.1931i 1.35243 + 1.10991i 0.983590 + 0.180418i \(0.0577451\pi\)
0.368840 + 0.929493i \(0.379755\pi\)
\(332\) −10.6343 15.8436i −0.583632 0.869531i
\(333\) 0.904274 + 9.04207i 0.0495539 + 0.495502i
\(334\) 21.1397 + 9.97133i 1.15671 + 0.545607i
\(335\) 1.25574 0.520143i 0.0686082 0.0284184i
\(336\) 8.02337 + 5.30406i 0.437711 + 0.289360i
\(337\) −32.5864 13.4977i −1.77509 0.735268i −0.993810 0.111091i \(-0.964565\pi\)
−0.781283 0.624176i \(-0.785435\pi\)
\(338\) 2.42322 + 2.66801i 0.131806 + 0.145120i
\(339\) 2.34355 + 3.50167i 0.127284 + 0.190185i
\(340\) 4.21032 1.75428i 0.228336 0.0951390i
\(341\) 0.158787 + 1.61219i 0.00859879 + 0.0873050i
\(342\) 21.4557 + 19.3471i 1.16019 + 1.04617i
\(343\) 13.9354 9.31137i 0.752443 0.502767i
\(344\) −9.77865 16.1994i −0.527229 0.873415i
\(345\) 3.05831 + 0.925221i 0.164654 + 0.0498122i
\(346\) 13.4608 6.38369i 0.723657 0.343189i
\(347\) −3.11564 + 10.2709i −0.167256 + 0.551371i −0.999997 0.00229222i \(-0.999270\pi\)
0.832741 + 0.553663i \(0.186770\pi\)
\(348\) 25.7632 + 10.5859i 1.38105 + 0.567463i
\(349\) −13.3439 + 10.9510i −0.714281 + 0.586196i −0.919767 0.392464i \(-0.871623\pi\)
0.205486 + 0.978660i \(0.434123\pi\)
\(350\) −2.31217 + 9.27176i −0.123591 + 0.495597i
\(351\) −1.68418 16.7138i −0.0898949 0.892119i
\(352\) 1.32288 0.0719118i 0.0705099 0.00383291i
\(353\) −23.7176 23.7176i −1.26236 1.26236i −0.949946 0.312415i \(-0.898862\pi\)
−0.312415 0.949946i \(-0.601138\pi\)
\(354\) 1.31550 + 1.18801i 0.0699180 + 0.0631418i
\(355\) −4.09324 + 3.35923i −0.217247 + 0.178290i
\(356\) −5.24173 + 17.4104i −0.277811 + 0.922751i
\(357\) −0.0112959 15.0487i −0.000597844 0.796459i
\(358\) 0.665877 1.86714i 0.0351927 0.0986817i
\(359\) 9.39583 14.0619i 0.495893 0.742156i −0.496125 0.868251i \(-0.665244\pi\)
0.992018 + 0.126095i \(0.0402443\pi\)
\(360\) −0.737397 + 3.00281i −0.0388643 + 0.158262i
\(361\) −22.7572 + 15.2059i −1.19775 + 0.800310i
\(362\) 9.98512 16.6987i 0.524806 0.877663i
\(363\) −17.5090 + 7.26789i −0.918987 + 0.381465i
\(364\) 8.97605 0.0187387i 0.470473 0.000982174i
\(365\) 0.393143 + 1.29602i 0.0205781 + 0.0678368i
\(366\) −10.8082 + 2.72794i −0.564955 + 0.142592i
\(367\) −7.92994 3.28469i −0.413940 0.171459i 0.165987 0.986128i \(-0.446919\pi\)
−0.579927 + 0.814669i \(0.696919\pi\)
\(368\) 7.67108 18.7406i 0.399883 0.976919i
\(369\) 1.30070 1.95298i 0.0677120 0.101668i
\(370\) −0.527414 1.46919i −0.0274190 0.0763794i
\(371\) 6.13414 + 3.27877i 0.318469 + 0.170225i
\(372\) −6.89058 + 22.9495i −0.357260 + 1.18988i
\(373\) 14.1297 + 11.5959i 0.731606 + 0.600413i 0.924669 0.380773i \(-0.124342\pi\)
−0.193063 + 0.981186i \(0.561842\pi\)
\(374\) −1.23654 1.66365i −0.0639401 0.0860254i
\(375\) −6.19731 + 0.615079i −0.320028 + 0.0317625i
\(376\) 11.8142 0.617487i 0.609273 0.0318445i
\(377\) 25.4945 5.07117i 1.31303 0.261179i
\(378\) 8.21392 + 6.05000i 0.422478 + 0.311178i
\(379\) −24.7566 + 13.2327i −1.27166 + 0.679717i −0.962497 0.271292i \(-0.912549\pi\)
−0.309164 + 0.951009i \(0.600049\pi\)
\(380\) −4.38165 2.33029i −0.224774 0.119542i
\(381\) −8.11322 + 1.62015i −0.415653 + 0.0830029i
\(382\) −1.82834 12.2377i −0.0935462 0.626134i
\(383\) 7.48476 0.382453 0.191227 0.981546i \(-0.438753\pi\)
0.191227 + 0.981546i \(0.438753\pi\)
\(384\) 18.5030 + 6.45279i 0.944228 + 0.329293i
\(385\) −0.118476 −0.00603811
\(386\) −0.841953 5.63545i −0.0428543 0.286837i
\(387\) −9.48742 17.6858i −0.482273 0.899020i
\(388\) 11.9438 22.4580i 0.606356 1.14013i
\(389\) 15.4968 8.28320i 0.785718 0.419975i −0.0291840 0.999574i \(-0.509291\pi\)
0.814902 + 0.579599i \(0.196791\pi\)
\(390\) 0.977013 + 2.71520i 0.0494730 + 0.137489i
\(391\) −31.0745 + 6.18110i −1.57150 + 0.312591i
\(392\) 9.60214 10.6612i 0.484982 0.538474i
\(393\) −1.71662 17.2960i −0.0865919 0.872468i
\(394\) −21.8178 29.3538i −1.09916 1.47882i
\(395\) 2.47464 + 2.03088i 0.124513 + 0.102185i
\(396\) 1.40519 0.00504309i 0.0706135 0.000253425i
\(397\) 21.0056 + 11.2277i 1.05424 + 0.563503i 0.905050 0.425305i \(-0.139833\pi\)
0.149191 + 0.988808i \(0.452333\pi\)
\(398\) −11.6308 32.3992i −0.582998 1.62402i
\(399\) −12.6492 + 10.3969i −0.633254 + 0.520494i
\(400\) 0.0812873 + 19.4687i 0.00406436 + 0.973434i
\(401\) −15.2411 6.31307i −0.761104 0.315260i −0.0318411 0.999493i \(-0.510137\pi\)
−0.729263 + 0.684233i \(0.760137\pi\)
\(402\) −2.23590 8.85874i −0.111517 0.441834i
\(403\) 6.49139 + 21.3993i 0.323359 + 1.06597i
\(404\) −0.0621172 29.7549i −0.00309045 1.48036i
\(405\) −0.942586 + 3.14121i −0.0468375 + 0.156088i
\(406\) −8.10140 + 13.5484i −0.402066 + 0.672397i
\(407\) −0.589849 + 0.394125i −0.0292377 + 0.0195360i
\(408\) −7.56522 29.7122i −0.374534 1.47097i
\(409\) −7.43455 + 11.1266i −0.367615 + 0.550175i −0.968453 0.249196i \(-0.919834\pi\)
0.600838 + 0.799371i \(0.294834\pi\)
\(410\) −0.135396 + 0.379656i −0.00668674 + 0.0187499i
\(411\) −12.5854 + 0.00944691i −0.620790 + 0.000465982i
\(412\) −15.2813 4.60072i −0.752855 0.226661i
\(413\) −0.776558 + 0.637304i −0.0382119 + 0.0313597i
\(414\) 9.13364 19.4393i 0.448894 0.955390i
\(415\) 2.45837 + 2.45837i 0.120676 + 0.120676i
\(416\) 17.7164 4.53612i 0.868617 0.222401i
\(417\) 9.14944 + 4.88165i 0.448050 + 0.239055i
\(418\) −0.545729 + 2.18836i −0.0266925 + 0.107036i
\(419\) 4.04993 3.32369i 0.197852 0.162373i −0.530251 0.847841i \(-0.677902\pi\)
0.728103 + 0.685468i \(0.240402\pi\)
\(420\) −1.62091 0.666019i −0.0790923 0.0324984i
\(421\) 8.39382 27.6707i 0.409090 1.34859i −0.474470 0.880271i \(-0.657360\pi\)
0.883560 0.468317i \(-0.155140\pi\)
\(422\) −26.1723 + 12.4120i −1.27405 + 0.604208i
\(423\) 12.5480 0.0188377i 0.610104 0.000915921i
\(424\) 13.7570 + 3.40021i 0.668101 + 0.165129i
\(425\) 25.3277 16.9234i 1.22858 0.820908i
\(426\) 18.3539 + 30.4974i 0.889249 + 1.47760i
\(427\) −0.619240 6.28725i −0.0299671 0.304261i
\(428\) 10.9328 + 26.2391i 0.528458 + 1.26832i
\(429\) 1.08984 0.729394i 0.0526182 0.0352155i
\(430\) 2.31792 + 2.55207i 0.111780 + 0.123072i
\(431\) −28.5090 11.8088i −1.37323 0.568811i −0.430568 0.902558i \(-0.641687\pi\)
−0.942662 + 0.333748i \(0.891687\pi\)
\(432\) 19.2532 + 7.83035i 0.926320 + 0.376738i
\(433\) −7.79101 + 3.22714i −0.374412 + 0.155087i −0.561951 0.827171i \(-0.689949\pi\)
0.187539 + 0.982257i \(0.439949\pi\)
\(434\) −12.2825 5.79350i −0.589578 0.278097i
\(435\) −4.97806 0.986314i −0.238680 0.0472902i
\(436\) −0.928055 + 0.622913i −0.0444458 + 0.0298321i
\(437\) 26.6480 + 21.8694i 1.27474 + 1.04616i
\(438\) 9.00292 1.35197i 0.430176 0.0645997i
\(439\) 2.79815 + 0.556587i 0.133548 + 0.0265644i 0.261412 0.965227i \(-0.415812\pi\)
−0.127863 + 0.991792i \(0.540812\pi\)
\(440\) −0.233965 + 0.0593845i −0.0111539 + 0.00283104i
\(441\) 10.7448 10.7771i 0.511656 0.513195i
\(442\) −21.2213 19.1936i −1.00940 0.912946i
\(443\) −18.9077 + 10.1064i −0.898331 + 0.480168i −0.854844 0.518886i \(-0.826347\pi\)
−0.0434878 + 0.999054i \(0.513847\pi\)
\(444\) −10.2855 + 2.07628i −0.488128 + 0.0985357i
\(445\) 0.324713 3.29686i 0.0153929 0.156286i
\(446\) −13.2334 + 17.8822i −0.626621 + 0.846746i
\(447\) 4.38594 + 14.4195i 0.207448 + 0.682020i
\(448\) −5.17389 + 9.82722i −0.244443 + 0.464292i
\(449\) −33.1212 −1.56309 −0.781543 0.623851i \(-0.785567\pi\)
−0.781543 + 0.623851i \(0.785567\pi\)
\(450\) −0.960744 + 20.6275i −0.0452899 + 0.972389i
\(451\) 0.182300 + 0.0179550i 0.00858417 + 0.000845467i
\(452\) −3.75454 + 3.09441i −0.176599 + 0.145549i
\(453\) −22.8126 + 22.8469i −1.07183 + 1.07344i
\(454\) 22.3529 + 20.2170i 1.04907 + 0.948832i
\(455\) −1.60401 + 0.319057i −0.0751971 + 0.0149576i
\(456\) −19.7682 + 26.8718i −0.925733 + 1.25839i
\(457\) −7.74464 + 38.9350i −0.362279 + 1.82130i 0.183080 + 0.983098i \(0.441393\pi\)
−0.545360 + 0.838202i \(0.683607\pi\)
\(458\) −6.96214 1.02531i −0.325320 0.0479096i
\(459\) −6.41616 31.8808i −0.299480 1.48807i
\(460\) −0.712229 + 3.62010i −0.0332078 + 0.168788i
\(461\) −3.39260 1.81338i −0.158009 0.0844576i 0.390497 0.920604i \(-0.372303\pi\)
−0.548506 + 0.836147i \(0.684803\pi\)
\(462\) −0.115442 + 0.787987i −0.00537085 + 0.0366605i
\(463\) 3.59696 + 8.68384i 0.167165 + 0.403572i 0.985157 0.171658i \(-0.0549125\pi\)
−0.817992 + 0.575230i \(0.804912\pi\)
\(464\) −9.20758 + 30.8159i −0.427451 + 1.43059i
\(465\) 0.424661 4.34509i 0.0196932 0.201499i
\(466\) −21.1106 23.2432i −0.977932 1.07672i
\(467\) −10.5599 34.8115i −0.488656 1.61088i −0.761048 0.648696i \(-0.775315\pi\)
0.272392 0.962186i \(-0.412185\pi\)
\(468\) 19.0108 3.85246i 0.878775 0.178080i
\(469\) 5.15321 0.507547i 0.237953 0.0234364i
\(470\) −2.09034 + 0.525922i −0.0964202 + 0.0242590i
\(471\) −11.0111 + 13.4376i −0.507363 + 0.619171i
\(472\) −1.21410 + 1.64778i −0.0558833 + 0.0758451i
\(473\) 0.870460 1.30274i 0.0400238 0.0598998i
\(474\) 15.9187 14.4800i 0.731169 0.665087i
\(475\) −31.7164 9.62105i −1.45525 0.441444i
\(476\) 17.2894 1.73931i 0.792460 0.0797212i
\(477\) 14.3900 + 4.34156i 0.658871 + 0.198787i
\(478\) −0.778891 + 3.12333i −0.0356256 + 0.142858i
\(479\) −0.804665 0.804665i −0.0367661 0.0367661i 0.688485 0.725251i \(-0.258276\pi\)
−0.725251 + 0.688485i \(0.758276\pi\)
\(480\) −3.53478 0.502788i −0.161340 0.0229490i
\(481\) −6.92438 + 6.92438i −0.315724 + 0.315724i
\(482\) 5.51070 + 9.17233i 0.251006 + 0.417788i
\(483\) 10.1264 + 6.75522i 0.460765 + 0.307373i
\(484\) −10.3593 19.2839i −0.470877 0.876543i
\(485\) −1.34533 + 4.43495i −0.0610881 + 0.201381i
\(486\) 19.9738 + 9.32992i 0.906030 + 0.423214i
\(487\) 27.9363 + 18.6664i 1.26591 + 0.845856i 0.993221 0.116245i \(-0.0370857\pi\)
0.272693 + 0.962101i \(0.412086\pi\)
\(488\) −4.37425 12.1056i −0.198013 0.547994i
\(489\) −5.62808 + 6.86834i −0.254510 + 0.310597i
\(490\) −1.34162 + 2.24366i −0.0606081 + 0.101358i
\(491\) 3.16576 + 32.1425i 0.142869 + 1.45057i 0.752870 + 0.658169i \(0.228669\pi\)
−0.610002 + 0.792400i \(0.708831\pi\)
\(492\) 2.39317 + 1.27045i 0.107892 + 0.0572765i
\(493\) 48.1547 14.6076i 2.16878 0.657892i
\(494\) −1.49517 + 31.0971i −0.0672707 + 1.39912i
\(495\) −0.251032 + 0.0503252i −0.0112830 + 0.00226195i
\(496\) −27.1592 5.28451i −1.21948 0.237281i
\(497\) −18.6375 + 7.71992i −0.836007 + 0.346286i
\(498\) 18.7460 13.9552i 0.840030 0.625348i
\(499\) 0.286135 0.535321i 0.0128092 0.0239642i −0.875435 0.483335i \(-0.839425\pi\)
0.888244 + 0.459371i \(0.151925\pi\)
\(500\) −1.41765 7.05007i −0.0633994 0.315289i
\(501\) −10.9350 + 26.4555i −0.488539 + 1.18195i
\(502\) −10.0658 13.5426i −0.449258 0.604435i
\(503\) −20.9985 4.17686i −0.936277 0.186237i −0.296706 0.954969i \(-0.595888\pi\)
−0.639571 + 0.768732i \(0.720888\pi\)
\(504\) −6.00910 + 10.1317i −0.267667 + 0.451303i
\(505\) 1.05765 + 5.31716i 0.0470647 + 0.236610i
\(506\) 1.67462 0.0840211i 0.0744460 0.00373520i
\(507\) −3.11898 + 3.12367i −0.138519 + 0.138727i
\(508\) −2.79226 9.13613i −0.123886 0.405350i
\(509\) 3.80878 38.6712i 0.168821 1.71407i −0.421440 0.906856i \(-0.638475\pi\)
0.590261 0.807213i \(-0.299025\pi\)
\(510\) 2.39749 + 5.04563i 0.106163 + 0.223424i
\(511\) 5.15962i 0.228248i
\(512\) −5.29158 + 22.0000i −0.233857 + 0.972271i
\(513\) −22.3854 + 27.4022i −0.988338 + 1.20984i
\(514\) −5.03309 33.6881i −0.222000 1.48592i
\(515\) 2.89369 + 0.285003i 0.127511 + 0.0125587i
\(516\) 19.2324 12.9298i 0.846660 0.569202i
\(517\) 0.461771 + 0.863913i 0.0203087 + 0.0379949i
\(518\) −0.298000 5.93943i −0.0130934 0.260963i
\(519\) 8.61319 + 16.0851i 0.378077 + 0.706057i
\(520\) −3.00765 + 1.43405i −0.131894 + 0.0628875i
\(521\) −5.34415 + 26.8669i −0.234131 + 1.17706i 0.667519 + 0.744593i \(0.267356\pi\)
−0.901650 + 0.432466i \(0.857644\pi\)
\(522\) −11.4106 + 32.1481i −0.499427 + 1.40708i
\(523\) 24.9836 30.4426i 1.09246 1.33116i 0.153102 0.988210i \(-0.451074\pi\)
0.939354 0.342950i \(-0.111426\pi\)
\(524\) 19.6760 3.95651i 0.859549 0.172841i
\(525\) −11.4802 2.27459i −0.501035 0.0992711i
\(526\) −2.89817 8.07326i −0.126366 0.352011i
\(527\) 16.5666 + 39.9954i 0.721655 + 1.74223i
\(528\) 0.166993 + 1.61397i 0.00726746 + 0.0702390i
\(529\) 1.00583 2.42829i 0.0437318 0.105578i
\(530\) −2.57897 0.123998i −0.112023 0.00538614i
\(531\) −1.37469 + 1.68020i −0.0596564 + 0.0729145i
\(532\) −13.3969 13.3411i −0.580831 0.578411i
\(533\) 2.51645 0.247848i 0.108999 0.0107355i
\(534\) −21.6111 5.37210i −0.935203 0.232474i
\(535\) −2.87737 4.30629i −0.124400 0.186177i
\(536\) 9.92209 3.58527i 0.428569 0.154860i
\(537\) 2.32383 + 0.703022i 0.100281 + 0.0303376i
\(538\) 0.144921 0.406363i 0.00624797 0.0175195i
\(539\) 1.13688 + 0.344870i 0.0489691 + 0.0148546i
\(540\) −3.71735 0.722671i −0.159969 0.0310988i
\(541\) 6.65674 + 8.11126i 0.286196 + 0.348730i 0.896186 0.443678i \(-0.146327\pi\)
−0.609990 + 0.792409i \(0.708827\pi\)
\(542\) 26.3741 15.8455i 1.13287 0.680622i
\(543\) 21.0237 + 11.2171i 0.902215 + 0.481374i
\(544\) 33.2711 12.1008i 1.42649 0.518819i
\(545\) 0.144001 0.144001i 0.00616833 0.00616833i
\(546\) 0.559123 + 10.9792i 0.0239282 + 0.469865i
\(547\) 1.65827 + 2.02061i 0.0709024 + 0.0863948i 0.807254 0.590205i \(-0.200953\pi\)
−0.736351 + 0.676599i \(0.763453\pi\)
\(548\) −1.45461 14.4593i −0.0621377 0.617672i
\(549\) −3.98270 13.0586i −0.169978 0.557328i
\(550\) −1.45657 + 0.690767i −0.0621083 + 0.0294544i
\(551\) −45.5249 30.4188i −1.93943 1.29588i
\(552\) 23.3833 + 8.26443i 0.995260 + 0.351758i
\(553\) 6.77574 + 10.1406i 0.288134 + 0.431222i
\(554\) −7.83475 31.1401i −0.332867 1.32302i
\(555\) 1.76573 0.732944i 0.0749512 0.0311117i
\(556\) −4.55936 + 11.0726i −0.193360 + 0.469583i
\(557\) 12.9051 3.91473i 0.546808 0.165872i −0.00478063 0.999989i \(-0.501522\pi\)
0.551589 + 0.834116i \(0.314022\pi\)
\(558\) −28.4854 7.05823i −1.20588 0.298799i
\(559\) 8.27658 19.9814i 0.350062 0.845124i
\(560\) 0.579303 1.93881i 0.0244800 0.0819297i
\(561\) 1.96126 1.61203i 0.0828044 0.0680599i
\(562\) −42.3728 19.9867i −1.78739 0.843090i
\(563\) −9.12670 + 17.0749i −0.384645 + 0.719619i −0.997507 0.0705704i \(-0.977518\pi\)
0.612862 + 0.790190i \(0.290018\pi\)
\(564\) 1.46111 + 14.4153i 0.0615238 + 0.606995i
\(565\) 0.562369 0.685249i 0.0236591 0.0288286i
\(566\) 0.392344 2.66413i 0.0164915 0.111982i
\(567\) −6.91021 + 10.4094i −0.290202 + 0.437153i
\(568\) −32.9356 + 24.5870i −1.38195 + 1.03165i
\(569\) −5.75598 28.9373i −0.241303 1.21311i −0.891384 0.453248i \(-0.850265\pi\)
0.650081 0.759865i \(-0.274735\pi\)
\(570\) 2.58887 5.49922i 0.108436 0.230337i
\(571\) −4.21146 7.87909i −0.176244 0.329730i 0.778252 0.627952i \(-0.216106\pi\)
−0.954497 + 0.298222i \(0.903606\pi\)
\(572\) 0.963089 + 1.16854i 0.0402688 + 0.0488593i
\(573\) 14.8610 2.96763i 0.620826 0.123974i
\(574\) −0.913469 + 1.23436i −0.0381275 + 0.0515212i
\(575\) 24.6400i 1.02756i
\(576\) −6.78831 + 23.0200i −0.282846 + 0.959165i
\(577\) 28.7585i 1.19723i 0.801036 + 0.598617i \(0.204283\pi\)
−0.801036 + 0.598617i \(0.795717\pi\)
\(578\) −25.2010 18.6496i −1.04822 0.775721i
\(579\) 6.84348 1.36659i 0.284405 0.0567937i
\(580\) 0.562196 5.83288i 0.0233439 0.242197i
\(581\) 6.24366 + 11.6811i 0.259031 + 0.484613i
\(582\) 28.1860 + 13.2692i 1.16835 + 0.550024i
\(583\) 0.228917 + 1.15085i 0.00948079 + 0.0476631i
\(584\) 2.58618 + 10.1891i 0.107017 + 0.421630i
\(585\) −3.26310 + 1.35736i −0.134913 + 0.0561201i
\(586\) 14.1631 + 2.08579i 0.585071 + 0.0861630i
\(587\) −10.8758 + 13.2522i −0.448891 + 0.546975i −0.947460 0.319875i \(-0.896359\pi\)
0.498569 + 0.866850i \(0.333859\pi\)
\(588\) 13.6154 + 11.1093i 0.561488 + 0.458140i
\(589\) 22.2039 41.5407i 0.914898 1.71165i
\(590\) 0.159090 0.337279i 0.00654965 0.0138856i
\(591\) 34.6048 28.4429i 1.42345 1.16999i
\(592\) −3.56553 11.5797i −0.146543 0.475924i
\(593\) 7.11924 17.1874i 0.292352 0.705801i −0.707647 0.706566i \(-0.750243\pi\)
1.00000 0.000764900i \(0.000243475\pi\)
\(594\) 0.0901107 + 1.71865i 0.00369729 + 0.0705171i
\(595\) −3.02969 + 0.919047i −0.124205 + 0.0376773i
\(596\) −16.0647 + 6.69355i −0.658037 + 0.274179i
\(597\) 38.9387 16.1632i 1.59366 0.661515i
\(598\) 22.4458 5.64729i 0.917878 0.230935i
\(599\) 17.1982 + 25.7390i 0.702701 + 1.05167i 0.995432 + 0.0954712i \(0.0304358\pi\)
−0.292732 + 0.956195i \(0.594564\pi\)
\(600\) −23.8109 + 1.26243i −0.972077 + 0.0515386i
\(601\) −37.6688 25.1695i −1.53654 1.02669i −0.980727 0.195381i \(-0.937406\pi\)
−0.555817 0.831305i \(-0.687594\pi\)
\(602\) 5.62801 + 11.8674i 0.229381 + 0.483678i
\(603\) 10.7032 3.26434i 0.435869 0.132934i
\(604\) −28.8678 23.5905i −1.17461 0.959884i
\(605\) 2.53021 + 3.08307i 0.102868 + 0.125345i
\(606\) 36.3950 1.85345i 1.47845 0.0752911i
\(607\) −10.2266 + 10.2266i −0.415086 + 0.415086i −0.883506 0.468420i \(-0.844823\pi\)
0.468420 + 0.883506i \(0.344823\pi\)
\(608\) −33.1431 19.6308i −1.34413 0.796136i
\(609\) −17.0576 9.10100i −0.691207 0.368791i
\(610\) 1.20777 + 2.01029i 0.0489014 + 0.0813942i
\(611\) 8.57828 + 10.4527i 0.347040 + 0.422869i
\(612\) 35.8946 11.0293i 1.45095 0.445835i
\(613\) 6.40177 + 1.94196i 0.258565 + 0.0784349i 0.416906 0.908950i \(-0.363114\pi\)
−0.158341 + 0.987385i \(0.550614\pi\)
\(614\) −21.8536 7.79363i −0.881941 0.314525i
\(615\) −0.472516 0.142949i −0.0190537 0.00576426i
\(616\) −0.918631 0.0422463i −0.0370127 0.00170215i
\(617\) −12.8196 19.1859i −0.516097 0.772394i 0.478290 0.878202i \(-0.341257\pi\)
−0.994387 + 0.105809i \(0.966257\pi\)
\(618\) 4.71514 18.9682i 0.189671 0.763015i
\(619\) 26.9542 2.65475i 1.08338 0.106704i 0.459464 0.888196i \(-0.348041\pi\)
0.623914 + 0.781493i \(0.285541\pi\)
\(620\) 5.04117 0.0105241i 0.202458 0.000422658i
\(621\) 24.3255 + 10.0118i 0.976148 + 0.401761i
\(622\) −0.888558 + 18.4806i −0.0356279 + 0.741005i
\(623\) 4.82979 11.6601i 0.193501 0.467154i
\(624\) 6.60729 + 21.4012i 0.264503 + 0.856735i
\(625\) −8.81161 21.2731i −0.352464 0.850924i
\(626\) −5.86527 + 2.10554i −0.234423 + 0.0841542i
\(627\) −2.70959 0.536858i −0.108211 0.0214400i
\(628\) −16.7028 11.1101i −0.666513 0.443340i
\(629\) −12.0264 + 14.6542i −0.479524 + 0.584301i
\(630\) 0.717905 2.02262i 0.0286020 0.0805833i
\(631\) 4.74394 23.8494i 0.188853 0.949429i −0.763819 0.645430i \(-0.776678\pi\)
0.952672 0.303999i \(-0.0983220\pi\)
\(632\) 18.4635 + 16.6293i 0.734437 + 0.661477i
\(633\) −16.7469 31.2748i −0.665631 1.24306i
\(634\) 25.7857 1.29375i 1.02408 0.0513816i
\(635\) 0.820516 + 1.53508i 0.0325612 + 0.0609177i
\(636\) −3.33764 + 17.0319i −0.132346 + 0.675360i
\(637\) 16.3206 + 1.60744i 0.646646 + 0.0636891i
\(638\) −2.63386 + 0.393507i −0.104276 + 0.0155791i
\(639\) −36.2107 + 24.2739i −1.43247 + 0.960260i
\(640\) 0.172199 4.11910i 0.00680676 0.162822i
\(641\) 17.2720i 0.682204i −0.940026 0.341102i \(-0.889200\pi\)
0.940026 0.341102i \(-0.110800\pi\)
\(642\) −31.4449 + 14.9414i −1.24103 + 0.589691i
\(643\) 1.64863 16.7388i 0.0650157 0.660115i −0.906350 0.422527i \(-0.861143\pi\)
0.971366 0.237588i \(-0.0763569\pi\)
\(644\) −6.60001 + 12.4100i −0.260077 + 0.489022i
\(645\) −2.98345 + 2.98793i −0.117473 + 0.117650i
\(646\) 3.02015 + 60.1944i 0.118826 + 2.36832i
\(647\) 3.29426 + 16.5614i 0.129511 + 0.651095i 0.989936 + 0.141518i \(0.0451982\pi\)
−0.860425 + 0.509577i \(0.829802\pi\)
\(648\) −8.42864 + 24.0200i −0.331108 + 0.943593i
\(649\) −0.166219 0.0330631i −0.00652468 0.00129784i
\(650\) −17.8597 + 13.2746i −0.700516 + 0.520672i
\(651\) 6.35340 15.3711i 0.249009 0.602440i
\(652\) −8.53727 5.67868i −0.334345 0.222394i
\(653\) −15.6556 + 29.2895i −0.612649 + 1.14619i 0.364011 + 0.931395i \(0.381407\pi\)
−0.976660 + 0.214791i \(0.931093\pi\)
\(654\) −0.817440 1.09807i −0.0319645 0.0429378i
\(655\) −3.37836 + 1.39936i −0.132003 + 0.0546776i
\(656\) −1.18520 + 2.89546i −0.0462743 + 0.113049i
\(657\) 2.19165 + 10.9324i 0.0855046 + 0.426513i
\(658\) −8.20228 0.394370i −0.319758 0.0153742i
\(659\) 29.7080 9.01182i 1.15726 0.351051i 0.347424 0.937708i \(-0.387056\pi\)
0.809835 + 0.586657i \(0.199556\pi\)
\(660\) −0.0866206 0.282659i −0.00337170 0.0110025i
\(661\) −2.69517 27.3645i −0.104830 1.06436i −0.893354 0.449353i \(-0.851655\pi\)
0.788525 0.615003i \(-0.210845\pi\)
\(662\) −38.6349 23.1021i −1.50159 0.897888i
\(663\) 22.2116 27.1063i 0.862626 1.05272i
\(664\) 18.1849 + 19.9381i 0.705710 + 0.773747i
\(665\) 2.86424 + 1.91382i 0.111070 + 0.0742148i
\(666\) −3.15430 12.4581i −0.122227 0.482741i
\(667\) −11.8160 + 38.9520i −0.457516 + 1.50823i
\(668\) −31.6515 9.52927i −1.22463 0.368699i
\(669\) −22.6656 15.1201i −0.876301 0.584575i
\(670\) −1.64769 + 0.989928i −0.0636559 + 0.0382442i
\(671\) 0.753635 0.753635i 0.0290937 0.0290937i
\(672\) −12.3306 5.74211i −0.475663 0.221507i
\(673\) 3.53187 + 3.53187i 0.136144 + 0.136144i 0.771894 0.635751i \(-0.219309\pi\)
−0.635751 + 0.771894i \(0.719309\pi\)
\(674\) 48.3988 + 12.0696i 1.86425 + 0.464904i
\(675\) −25.2907 + 0.0569518i −0.973440 + 0.00219207i
\(676\) −3.94686 3.22534i −0.151802 0.124051i
\(677\) 7.03619 + 2.13441i 0.270423 + 0.0820319i 0.422584 0.906324i \(-0.361123\pi\)
−0.152161 + 0.988356i \(0.548623\pi\)
\(678\) −4.00963 4.40803i −0.153989 0.169289i
\(679\) −9.80921 + 14.6805i −0.376443 + 0.563387i
\(680\) −5.52234 + 3.33351i −0.211772 + 0.127834i
\(681\) −23.3959 + 28.5517i −0.896535 + 1.09410i
\(682\) −0.558990 2.22177i −0.0214048 0.0850761i
\(683\) 12.3672 1.21806i 0.473216 0.0466078i 0.141402 0.989952i \(-0.454839\pi\)
0.331815 + 0.943345i \(0.392339\pi\)
\(684\) −34.0528 22.5770i −1.30204 0.863254i
\(685\) 0.768609 + 2.53377i 0.0293671 + 0.0968102i
\(686\) −17.5456 + 15.9358i −0.669893 + 0.608431i
\(687\) 0.838353 8.57795i 0.0319852 0.327269i
\(688\) 17.0625 + 20.6145i 0.650500 + 0.785922i
\(689\) 6.19846 + 14.9644i 0.236143 + 0.570099i
\(690\) −4.47097 0.655008i −0.170207 0.0249357i
\(691\) 3.10721 + 1.66084i 0.118204 + 0.0631812i 0.529439 0.848348i \(-0.322402\pi\)
−0.411235 + 0.911529i \(0.634902\pi\)
\(692\) −17.4935 + 11.7417i −0.665003 + 0.446352i
\(693\) −0.970831 0.0941471i −0.0368788 0.00357635i
\(694\) 2.21152 15.0169i 0.0839483 0.570032i
\(695\) 0.425640 2.13984i 0.0161454 0.0811686i
\(696\) −38.2468 9.42268i −1.44974 0.357166i
\(697\) 4.80108 0.954994i 0.181854 0.0361730i
\(698\) 16.3755 18.1055i 0.619823 0.685305i
\(699\) 27.1720 27.2129i 1.02774 1.02928i
\(700\) 1.29651 13.4515i 0.0490034 0.508418i
\(701\) −52.3213 5.15320i −1.97615 0.194633i −0.976377 0.216074i \(-0.930675\pi\)
−0.999770 + 0.0214408i \(0.993175\pi\)
\(702\) 5.84831 + 23.0255i 0.220730 + 0.869043i
\(703\) 20.6265 0.777943
\(704\) −1.83527 + 0.377023i −0.0691695 + 0.0142096i
\(705\) −0.768224 2.52567i −0.0289330 0.0951222i
\(706\) 38.1298 + 28.2173i 1.43503 + 1.06197i
\(707\) −2.02441 + 20.5542i −0.0761359 + 0.773020i
\(708\) −2.08823 1.38675i −0.0784805 0.0521174i
\(709\) 15.2539 8.15338i 0.572872 0.306207i −0.159405 0.987213i \(-0.550958\pi\)
0.732277 + 0.681007i \(0.238458\pi\)
\(710\) 5.02320 5.55388i 0.188517 0.208433i
\(711\) 18.6641 + 18.6081i 0.699958 + 0.697860i
\(712\) 3.69333 25.4471i 0.138413 0.953672i
\(713\) −34.3447 6.83159i −1.28622 0.255845i
\(714\) 3.16049 + 21.0460i 0.118278 + 0.787628i
\(715\) −0.213274 0.175029i −0.00797598 0.00654572i
\(716\) −0.541182 + 2.75070i −0.0202249 + 0.102799i
\(717\) −3.86726 0.766229i −0.144426 0.0286153i
\(718\) −10.2034 + 21.6316i −0.380786 + 0.807284i
\(719\) 44.3262 18.3605i 1.65309 0.684731i 0.655568 0.755136i \(-0.272429\pi\)
0.997518 + 0.0704053i \(0.0224292\pi\)
\(720\) 0.403898 4.35409i 0.0150524 0.162267i
\(721\) 10.2342 + 4.23915i 0.381142 + 0.157874i
\(722\) 28.6527 26.0239i 1.06634 0.968508i
\(723\) −10.8912 + 7.28910i −0.405048 + 0.271084i
\(724\) −10.4766 + 25.4428i −0.389359 + 0.945575i
\(725\) −3.83590 38.9465i −0.142462 1.44644i
\(726\) 22.9710 13.8244i 0.852532 0.513070i
\(727\) −5.55991 + 3.71501i −0.206206 + 0.137782i −0.654385 0.756161i \(-0.727073\pi\)
0.448180 + 0.893944i \(0.352073\pi\)
\(728\) −12.5508 + 1.90192i −0.465163 + 0.0704898i
\(729\) −10.2200 + 24.9910i −0.378519 + 0.925594i
\(730\) −0.820712 1.73057i −0.0303759 0.0640514i
\(731\) 12.1539 40.0661i 0.449529 1.48190i
\(732\) 14.5473 6.07412i 0.537684 0.224506i
\(733\) −37.1824 + 30.5148i −1.37336 + 1.12709i −0.395355 + 0.918528i \(0.629378\pi\)
−0.978009 + 0.208562i \(0.933122\pi\)
\(734\) 11.7779 + 2.93715i 0.434731 + 0.108412i
\(735\) −2.82479 1.50715i −0.104194 0.0555922i
\(736\) −6.81327 + 27.8152i −0.251141 + 1.02528i
\(737\) 0.617701 + 0.617701i 0.0227533 + 0.0227533i
\(738\) −1.41117 + 3.00342i −0.0519459 + 0.110557i
\(739\) −16.4924 + 13.5350i −0.606683 + 0.497892i −0.886849 0.462060i \(-0.847111\pi\)
0.280166 + 0.959952i \(0.409611\pi\)
\(740\) 1.04470 + 1.94472i 0.0384040 + 0.0714895i
\(741\) −38.1300 + 0.0286214i −1.40074 + 0.00105143i
\(742\) −9.26492 3.30414i −0.340126 0.121299i
\(743\) 2.13834 3.20025i 0.0784480 0.117406i −0.790171 0.612887i \(-0.790008\pi\)
0.868619 + 0.495481i \(0.165008\pi\)
\(744\) 4.84207 33.5391i 0.177519 1.22960i
\(745\) 2.63650 1.76165i 0.0965938 0.0645419i
\(746\) −22.1862 13.2664i −0.812294 0.485718i
\(747\) 18.1911 + 22.0981i 0.665576 + 0.808529i
\(748\) 2.07719 + 2.06853i 0.0759496 + 0.0756331i
\(749\) −5.72760 18.8814i −0.209282 0.689910i
\(750\) 8.53958 2.15535i 0.311821 0.0787021i
\(751\) −13.5951 5.63126i −0.496091 0.205488i 0.120588 0.992703i \(-0.461522\pi\)
−0.616679 + 0.787215i \(0.711522\pi\)
\(752\) −16.3954 + 3.33248i −0.597879 + 0.121523i
\(753\) 15.9652 13.1223i 0.581803 0.478205i
\(754\) −34.5992 + 12.4205i −1.26003 + 0.452330i
\(755\) 5.99049 + 3.20198i 0.218016 + 0.116532i
\(756\) −12.7530 6.74562i −0.463821 0.245336i
\(757\) −26.6026 21.8322i −0.966886 0.793503i 0.0115751 0.999933i \(-0.496315\pi\)
−0.978461 + 0.206430i \(0.933815\pi\)
\(758\) 31.8616 23.6818i 1.15726 0.860160i
\(759\) 0.202818 + 2.04352i 0.00736184 + 0.0741752i
\(760\) 6.61553 + 2.34373i 0.239970 + 0.0850161i
\(761\) 16.5166 3.28535i 0.598726 0.119094i 0.113582 0.993529i \(-0.463767\pi\)
0.485143 + 0.874435i \(0.338767\pi\)
\(762\) 11.0093 3.96150i 0.398825 0.143510i
\(763\) 0.684230 0.365729i 0.0247708 0.0132403i
\(764\) 5.11457 + 16.7346i 0.185039 + 0.605438i
\(765\) −6.02904 + 3.23423i −0.217980 + 0.116934i
\(766\) −10.4689 + 1.56408i −0.378255 + 0.0565124i
\(767\) −2.33942 −0.0844716
\(768\) −27.2284 5.15891i −0.982520 0.186156i
\(769\) 11.6389 0.419708 0.209854 0.977733i \(-0.432701\pi\)
0.209854 + 0.977733i \(0.432701\pi\)
\(770\) 0.165712 0.0247578i 0.00597183 0.000892209i
\(771\) 40.9095 8.16933i 1.47332 0.294211i
\(772\) 2.35526 + 7.70631i 0.0847678 + 0.277356i
\(773\) −8.57280 + 4.58226i −0.308342 + 0.164812i −0.618309 0.785935i \(-0.712182\pi\)
0.309967 + 0.950747i \(0.399682\pi\)
\(774\) 16.9657 + 22.7544i 0.609821 + 0.817889i
\(775\) 33.0202 6.56813i 1.18612 0.235934i
\(776\) −12.0127 + 33.9076i −0.431230 + 1.21721i
\(777\) 7.24782 0.719342i 0.260014 0.0258062i
\(778\) −19.9442 + 14.8240i −0.715036 + 0.531465i
\(779\) −4.11717 3.37888i −0.147513 0.121061i
\(780\) −1.93393 3.59355i −0.0692457 0.128670i
\(781\) −3.00139 1.60427i −0.107398 0.0574054i
\(782\) 42.1719 15.1390i 1.50806 0.541370i
\(783\) −40.0080 12.0380i −1.42977 0.430202i
\(784\) −11.2026 + 16.9183i −0.400091 + 0.604225i
\(785\) 3.37676 + 1.39870i 0.120522 + 0.0499217i
\(786\) 6.01533 + 23.8330i 0.214560 + 0.850096i
\(787\) −3.88088 12.7936i −0.138339 0.456041i 0.860208 0.509944i \(-0.170334\pi\)
−0.998546 + 0.0539029i \(0.982834\pi\)
\(788\) 36.6503 + 36.4976i 1.30561 + 1.30017i
\(789\) 9.70279 4.02756i 0.345429 0.143385i
\(790\) −3.88564 2.32345i −0.138245 0.0826647i
\(791\) 2.80802 1.87626i 0.0998418 0.0667122i
\(792\) −1.96437 + 0.300694i −0.0698009 + 0.0106847i
\(793\) 8.17365 12.2327i 0.290255 0.434397i
\(794\) −31.7265 11.3146i −1.12593 0.401540i
\(795\) −0.00237365 3.16223i −8.41848e−5 0.112153i
\(796\) 23.0382 + 42.8859i 0.816569 + 1.52005i
\(797\) 21.9654 18.0265i 0.778054 0.638533i −0.159173 0.987251i \(-0.550883\pi\)
0.937228 + 0.348718i \(0.113383\pi\)
\(798\) 15.5197 17.1853i 0.549393 0.608352i
\(799\) 18.5101 + 18.5101i 0.654839 + 0.654839i
\(800\) −4.18203 27.2137i −0.147857 0.962148i
\(801\) 5.28065 26.7575i 0.186582 0.945429i
\(802\) 22.6368 + 5.64512i 0.799333 + 0.199336i
\(803\) −0.672856 + 0.552199i −0.0237446 + 0.0194867i
\(804\) 4.97853 + 11.9234i 0.175579 + 0.420506i
\(805\) 0.743411 2.45070i 0.0262018 0.0863757i
\(806\) −13.5512 28.5744i −0.477321 1.00649i
\(807\) 0.505756 + 0.153005i 0.0178034 + 0.00538602i
\(808\) 6.30471 + 41.6048i 0.221799 + 1.46365i
\(809\) 18.3995 12.2942i 0.646893 0.432240i −0.188365 0.982099i \(-0.560319\pi\)
0.835257 + 0.549859i \(0.185319\pi\)
\(810\) 0.661972 4.59055i 0.0232593 0.161296i
\(811\) −2.54929 25.8834i −0.0895176 0.908888i −0.930125 0.367243i \(-0.880302\pi\)
0.840607 0.541645i \(-0.182198\pi\)
\(812\) 8.50015 20.6430i 0.298297 0.724426i
\(813\) 20.9591 + 31.3166i 0.735068 + 1.09832i
\(814\) 0.742656 0.674518i 0.0260301 0.0236418i
\(815\) 1.72596 + 0.714915i 0.0604577 + 0.0250424i
\(816\) 16.7903 + 39.9773i 0.587778 + 1.39948i
\(817\) −42.0878 + 17.4333i −1.47247 + 0.609915i
\(818\) 8.07353 17.1162i 0.282284 0.598455i
\(819\) −13.3973 + 1.33983i −0.468139 + 0.0468173i
\(820\) 0.110041 0.559314i 0.00384280 0.0195321i
\(821\) 14.5449 + 11.9367i 0.507620 + 0.416593i 0.853032 0.521858i \(-0.174761\pi\)
−0.345413 + 0.938451i \(0.612261\pi\)
\(822\) 17.6010 2.64315i 0.613906 0.0921906i
\(823\) 8.99852 + 1.78992i 0.313669 + 0.0623926i 0.349414 0.936968i \(-0.386381\pi\)
−0.0357456 + 0.999361i \(0.511381\pi\)
\(824\) 22.3352 + 3.24167i 0.778083 + 0.112929i
\(825\) −0.932017 1.74054i −0.0324487 0.0605977i
\(826\) 0.952986 1.05367i 0.0331586 0.0366618i
\(827\) −9.29596 + 4.96880i −0.323252 + 0.172782i −0.625039 0.780594i \(-0.714917\pi\)
0.301787 + 0.953375i \(0.402417\pi\)
\(828\) −8.71293 + 29.0982i −0.302795 + 1.01123i
\(829\) 2.51105 25.4951i 0.0872123 0.885481i −0.847670 0.530524i \(-0.821995\pi\)
0.934882 0.354958i \(-0.115505\pi\)
\(830\) −3.95221 2.92477i −0.137183 0.101520i
\(831\) 37.6253 11.4444i 1.30521 0.397001i
\(832\) −23.8318 + 10.0468i −0.826219 + 0.348309i
\(833\) 31.7478 1.10000
\(834\) −13.8173 4.91597i −0.478455 0.170226i
\(835\) 5.99357 + 0.590316i 0.207416 + 0.0204287i
\(836\) 0.306007 3.17488i 0.0105835 0.109805i
\(837\) 6.93262 35.2675i 0.239626 1.21902i
\(838\) −4.97005 + 5.49512i −0.171687 + 0.189826i
\(839\) −8.78450 + 1.74735i −0.303275 + 0.0603251i −0.344382 0.938830i \(-0.611911\pi\)
0.0411072 + 0.999155i \(0.486911\pi\)
\(840\) 2.40633 + 0.592835i 0.0830262 + 0.0204548i
\(841\) 6.95499 34.9651i 0.239827 1.20569i
\(842\) −5.95805 + 40.4568i −0.205328 + 1.39423i
\(843\) 21.9183 53.0280i 0.754907 1.82638i
\(844\) 34.0132 22.8298i 1.17078 0.785833i
\(845\) 0.819030 + 0.437781i 0.0281755 + 0.0150601i
\(846\) −17.5468 + 2.64848i −0.603271 + 0.0910566i
\(847\) 5.81473 + 14.0380i 0.199796 + 0.482351i
\(848\) −19.9524 1.88106i −0.685167 0.0645958i
\(849\) 3.28243 + 0.320803i 0.112653 + 0.0110099i
\(850\) −31.8892 + 28.9633i −1.09379 + 0.993434i
\(851\) −4.45135 14.6741i −0.152590 0.503023i
\(852\) −32.0444 38.8210i −1.09782 1.32998i
\(853\) 22.5970 2.22561i 0.773705 0.0762033i 0.296544 0.955019i \(-0.404166\pi\)
0.477161 + 0.878816i \(0.341666\pi\)
\(854\) 2.17996 + 8.66451i 0.0745967 + 0.296493i
\(855\) 6.88178 + 2.83843i 0.235352 + 0.0970722i
\(856\) −20.7748 34.4158i −0.710067 1.17631i
\(857\) −6.14675 + 9.19927i −0.209969 + 0.314241i −0.921474 0.388440i \(-0.873014\pi\)
0.711505 + 0.702681i \(0.248014\pi\)
\(858\) −1.37193 + 1.24794i −0.0468370 + 0.0426039i
\(859\) −2.94985 0.894826i −0.100647 0.0305311i 0.239559 0.970882i \(-0.422997\pi\)
−0.340207 + 0.940351i \(0.610497\pi\)
\(860\) −3.77535 3.08518i −0.128738 0.105204i
\(861\) −1.56455 1.04370i −0.0533196 0.0355691i
\(862\) 42.3429 + 10.5594i 1.44221 + 0.359654i
\(863\) 22.0499 + 22.0499i 0.750589 + 0.750589i 0.974589 0.224000i \(-0.0719116\pi\)
−0.224000 + 0.974589i \(0.571912\pi\)
\(864\) −28.5655 6.92891i −0.971819 0.235726i
\(865\) 2.71437 2.71437i 0.0922913 0.0922913i
\(866\) 10.2228 6.14184i 0.347386 0.208708i
\(867\) 21.3084 31.9421i 0.723671 1.08481i
\(868\) 18.3900 + 5.53666i 0.624198 + 0.187926i
\(869\) −0.597256 + 1.96889i −0.0202605 + 0.0667900i
\(870\) 7.16887 + 0.339290i 0.243048 + 0.0115030i
\(871\) 10.0263 + 6.69937i 0.339729 + 0.226999i
\(872\) 1.16789 1.06520i 0.0395498 0.0360721i
\(873\) −14.5482 + 35.2723i −0.492384 + 1.19378i
\(874\) −41.8422 25.0199i −1.41533 0.846312i
\(875\) 0.489261 + 4.96756i 0.0165401 + 0.167934i
\(876\) −12.3098 + 3.77231i −0.415908 + 0.127455i
\(877\) 11.2413 3.41002i 0.379593 0.115148i −0.0947215 0.995504i \(-0.530196\pi\)
0.474314 + 0.880356i \(0.342696\pi\)
\(878\) −4.03005 0.193767i −0.136008 0.00653932i
\(879\) −1.70546 + 17.4501i −0.0575237 + 0.588577i
\(880\) 0.314835 0.131952i 0.0106131 0.00444809i
\(881\) −24.6676 + 10.2176i −0.831072 + 0.344241i −0.757327 0.653036i \(-0.773495\pi\)
−0.0737451 + 0.997277i \(0.523495\pi\)
\(882\) −12.7765 + 17.3191i −0.430209 + 0.583165i
\(883\) 6.86623 12.8458i 0.231067 0.432296i −0.739490 0.673167i \(-0.764933\pi\)
0.970557 + 0.240872i \(0.0774333\pi\)
\(884\) 33.6929 + 22.4113i 1.13321 + 0.753773i
\(885\) 0.422093 + 0.174465i 0.0141885 + 0.00586459i
\(886\) 24.3341 18.0868i 0.817519 0.607637i
\(887\) −27.9181 5.55326i −0.937399 0.186460i −0.297327 0.954776i \(-0.596095\pi\)
−0.640071 + 0.768315i \(0.721095\pi\)
\(888\) 13.9523 5.05341i 0.468210 0.169581i
\(889\) 1.29368 + 6.50377i 0.0433887 + 0.218130i
\(890\) 0.234768 + 4.67914i 0.00786943 + 0.156845i
\(891\) −2.09702 + 0.212898i −0.0702529 + 0.00713235i
\(892\) 14.7726 27.7770i 0.494624 0.930042i
\(893\) 2.79173 28.3449i 0.0934217 0.948526i
\(894\) −9.14779 19.2519i −0.305948 0.643881i
\(895\) 0.510784i 0.0170736i
\(896\) 5.18309 14.8264i 0.173155 0.495315i
\(897\) 8.24910 + 27.1203i 0.275429 + 0.905522i
\(898\) 46.3263 6.92128i 1.54593 0.230966i
\(899\) 55.3495 + 5.45145i 1.84601 + 0.181816i
\(900\) −2.96671 29.0522i −0.0988902 0.968407i
\(901\) 14.7813 + 27.6538i 0.492436 + 0.921283i
\(902\) −0.258733 + 0.0129815i −0.00861486 + 0.000432236i
\(903\) −14.1810 + 7.59359i −0.471914 + 0.252699i
\(904\) 4.60480 5.11269i 0.153153 0.170046i
\(905\) 0.978043 4.91695i 0.0325112 0.163445i
\(906\) 27.1335 36.7228i 0.901450 1.22003i
\(907\) −17.9123 + 21.8262i −0.594767 + 0.724726i −0.980200 0.198010i \(-0.936552\pi\)
0.385433 + 0.922736i \(0.374052\pi\)
\(908\) −35.4895 23.6063i −1.17776 0.783403i
\(909\) 4.44142 + 44.4109i 0.147313 + 1.47302i
\(910\) 2.17684 0.781449i 0.0721614 0.0259048i
\(911\) 17.3834 + 41.9673i 0.575938 + 1.39044i 0.896430 + 0.443186i \(0.146152\pi\)
−0.320492 + 0.947251i \(0.603848\pi\)
\(912\) 22.0343 41.7162i 0.729628 1.38136i
\(913\) −0.855090 + 2.06437i −0.0282993 + 0.0683207i
\(914\) 2.69618 56.0763i 0.0891817 1.85484i
\(915\) −2.38701 + 1.59754i −0.0789122 + 0.0528131i
\(916\) 9.95213 0.0207764i 0.328828 0.000686471i
\(917\) −13.8639 + 1.36547i −0.457826 + 0.0450919i
\(918\) 15.6363 + 43.2506i 0.516075 + 1.42748i
\(919\) −3.35020 5.01393i −0.110513 0.165394i 0.772090 0.635513i \(-0.219211\pi\)
−0.882603 + 0.470118i \(0.844211\pi\)
\(920\) 0.239702 5.21223i 0.00790273 0.171842i
\(921\) 8.22839 27.1988i 0.271135 0.896232i
\(922\) 5.12413 + 1.82741i 0.168754 + 0.0601826i
\(923\) −44.9550 13.6370i −1.47971 0.448866i
\(924\) −0.00319666 1.12627i −0.000105162 0.0370517i
\(925\) 9.35290 + 11.3965i 0.307522 + 0.374716i
\(926\) −6.84568 11.3943i −0.224963 0.374441i
\(927\) 23.4853 + 4.63487i 0.771358 + 0.152229i
\(928\) 6.43900 45.0260i 0.211370 1.47805i
\(929\) −15.4270 + 15.4270i −0.506145 + 0.506145i −0.913341 0.407196i \(-0.866507\pi\)
0.407196 + 0.913341i \(0.366507\pi\)
\(930\) 0.314017 + 6.16617i 0.0102970 + 0.202197i
\(931\) −21.9140 26.7022i −0.718201 0.875131i
\(932\) 34.3843 + 28.0986i 1.12630 + 0.920399i
\(933\) −22.6602 + 0.0170093i −0.741860 + 0.000556860i
\(934\) 22.0446 + 46.4837i 0.721320 + 1.52099i
\(935\) −0.444098 0.296737i −0.0145236 0.00970434i
\(936\) −25.7852 + 9.36105i −0.842815 + 0.305976i
\(937\) 8.68521 + 12.9983i 0.283734 + 0.424637i 0.945771 0.324833i \(-0.105308\pi\)
−0.662038 + 0.749470i \(0.730308\pi\)
\(938\) −7.10168 + 1.78676i −0.231878 + 0.0583398i
\(939\) −2.92605 7.04914i −0.0954880 0.230040i
\(940\) 2.81383 1.17242i 0.0917772 0.0382400i
\(941\) 33.8698 10.2743i 1.10412 0.334932i 0.314954 0.949107i \(-0.398011\pi\)
0.789170 + 0.614174i \(0.210511\pi\)
\(942\) 12.5930 21.0960i 0.410303 0.687344i
\(943\) −1.51529 + 3.65823i −0.0493446 + 0.119128i
\(944\) 1.35381 2.55844i 0.0440627 0.0832700i
\(945\) 2.51714 + 0.757379i 0.0818824 + 0.0246375i
\(946\) −0.945273 + 2.00402i −0.0307335 + 0.0651563i
\(947\) −13.3910 + 25.0528i −0.435150 + 0.814107i −0.999938 0.0111282i \(-0.996458\pi\)
0.564789 + 0.825236i \(0.308958\pi\)
\(948\) −19.2394 + 23.5795i −0.624868 + 0.765826i
\(949\) −7.62249 + 9.28803i −0.247437 + 0.301502i
\(950\) 46.3718 + 6.82915i 1.50450 + 0.221567i
\(951\) 3.12299 + 31.4661i 0.101270 + 1.02036i
\(952\) −23.8191 + 6.04570i −0.771981 + 0.195942i
\(953\) −4.50076 22.6268i −0.145794 0.732955i −0.982641 0.185518i \(-0.940604\pi\)
0.836847 0.547437i \(-0.184396\pi\)
\(954\) −21.0343 3.06546i −0.681012 0.0992478i
\(955\) −1.50294 2.81180i −0.0486339 0.0909876i
\(956\) 0.436748 4.53134i 0.0141254 0.146554i
\(957\) −0.638710 3.19846i −0.0206466 0.103392i
\(958\) 1.29363 + 0.957327i 0.0417951 + 0.0309298i
\(959\) 10.0873i 0.325734i
\(960\) 5.04913 0.0354127i 0.162960 0.00114294i
\(961\) 16.8466i 0.543439i
\(962\) 8.23808 11.1320i 0.265606 0.358911i
\(963\) −20.1561 37.5736i −0.649520 1.21079i
\(964\) −9.62449 11.6777i −0.309984 0.376113i
\(965\) −0.692103 1.29483i −0.0222796 0.0416822i
\(966\) −15.5752 7.33237i −0.501125 0.235915i
\(967\) 3.73743 + 18.7893i 0.120188 + 0.604224i 0.993190 + 0.116508i \(0.0371700\pi\)
−0.873002 + 0.487716i \(0.837830\pi\)
\(968\) 18.5192 + 24.8075i 0.595229 + 0.797342i
\(969\) −73.4547 + 7.29033i −2.35970 + 0.234199i
\(970\) 0.954931 6.48425i 0.0306610 0.208197i
\(971\) 5.67087 6.90998i 0.181987 0.221752i −0.674024 0.738710i \(-0.735436\pi\)
0.856011 + 0.516958i \(0.172936\pi\)
\(972\) −29.8868 8.87577i −0.958619 0.284690i
\(973\) 3.91818 7.33040i 0.125611 0.235002i
\(974\) −42.9749 20.2707i −1.37700 0.649516i
\(975\) −17.3055 21.0546i −0.554220 0.674287i
\(976\) 8.64791 + 16.0179i 0.276813 + 0.512719i
\(977\) 12.0604 29.1163i 0.385845 0.931512i −0.604965 0.796252i \(-0.706813\pi\)
0.990810 0.135260i \(-0.0431870\pi\)
\(978\) 6.43667 10.7828i 0.205822 0.344795i
\(979\) 2.03748 0.618062i 0.0651180 0.0197533i
\(980\) 1.40765 3.41854i 0.0449658 0.109201i
\(981\) 1.29442 1.06556i 0.0413277 0.0340207i
\(982\) −11.1447 44.2958i −0.355641 1.41354i
\(983\) −27.8063 41.6150i −0.886882 1.32731i −0.944342 0.328965i \(-0.893300\pi\)
0.0574603 0.998348i \(-0.481700\pi\)
\(984\) −3.61278 1.27687i −0.115171 0.0407053i
\(985\) −7.83576 5.23569i −0.249668 0.166823i
\(986\) −64.3010 + 30.4943i −2.04776 + 0.971135i
\(987\) −0.00754928 10.0573i −0.000240296 0.320128i
\(988\) −4.40703 43.8076i −0.140206 1.39371i
\(989\) 21.4853 + 26.1799i 0.683194 + 0.832474i
\(990\) 0.340599 0.122847i 0.0108249 0.00390433i
\(991\) −10.8831 + 10.8831i −0.345712 + 0.345712i −0.858509 0.512798i \(-0.828609\pi\)
0.512798 + 0.858509i \(0.328609\pi\)
\(992\) 39.0915 + 1.71598i 1.24116 + 0.0544824i
\(993\) 25.9526 48.6416i 0.823580 1.54360i
\(994\) 24.4549 14.6924i 0.775662 0.466015i
\(995\) −5.62699 6.85650i −0.178387 0.217366i
\(996\) −23.3037 + 23.4363i −0.738405 + 0.742609i
\(997\) 39.8268 + 12.0813i 1.26133 + 0.382620i 0.848989 0.528411i \(-0.177212\pi\)
0.412339 + 0.911030i \(0.364712\pi\)
\(998\) −0.288349 + 0.808540i −0.00912752 + 0.0255939i
\(999\) 15.0514 4.60282i 0.476205 0.145627i
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 384.2.w.a.35.4 yes 992
3.2 odd 2 inner 384.2.w.a.35.59 yes 992
128.11 odd 32 inner 384.2.w.a.11.59 yes 992
384.11 even 32 inner 384.2.w.a.11.4 992
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.w.a.11.4 992 384.11 even 32 inner
384.2.w.a.11.59 yes 992 128.11 odd 32 inner
384.2.w.a.35.4 yes 992 1.1 even 1 trivial
384.2.w.a.35.59 yes 992 3.2 odd 2 inner