Properties

Label 731.2.y.a.4.13
Level $731$
Weight $2$
Character 731.4
Analytic conductor $5.837$
Analytic rank $0$
Dimension $768$
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] = [731,2,Mod(4,731)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(731, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([21, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("731.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 731 = 17 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 731.y (of order \(28\), degree \(12\), 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: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 731.4
Dual form 731.2.y.a.183.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.52642 - 1.21728i) q^{2} +(-1.43515 - 0.161703i) q^{3} +(0.403150 + 1.76631i) q^{4} +(-2.05291 + 0.718343i) q^{5} +(1.99381 + 1.99381i) q^{6} +(-0.0817540 - 0.0817540i) q^{7} +(-0.159477 + 0.331157i) q^{8} +(-0.891265 - 0.203425i) q^{9} +O(q^{10})\) \(q+(-1.52642 - 1.21728i) q^{2} +(-1.43515 - 0.161703i) q^{3} +(0.403150 + 1.76631i) q^{4} +(-2.05291 + 0.718343i) q^{5} +(1.99381 + 1.99381i) q^{6} +(-0.0817540 - 0.0817540i) q^{7} +(-0.159477 + 0.331157i) q^{8} +(-0.891265 - 0.203425i) q^{9} +(4.00802 + 1.40247i) q^{10} +(-3.75022 + 2.35642i) q^{11} +(-0.292964 - 2.60012i) q^{12} +(-5.65812 - 2.72481i) q^{13} +(0.0252735 + 0.224309i) q^{14} +(3.06239 - 0.698971i) q^{15} +(3.91118 - 1.88352i) q^{16} +(3.58018 + 2.04507i) q^{17} +(1.11282 + 1.39543i) q^{18} +(-4.42408 + 1.00977i) q^{19} +(-2.09645 - 3.33648i) q^{20} +(0.104110 + 0.130549i) q^{21} +(8.59286 + 0.968182i) q^{22} +(3.07621 - 1.93291i) q^{23} +(0.282422 - 0.449473i) q^{24} +(-0.210754 + 0.168071i) q^{25} +(5.31982 + 11.0467i) q^{26} +(5.33578 + 1.86707i) q^{27} +(0.111444 - 0.177362i) q^{28} +(0.471021 + 4.18042i) q^{29} +(-5.52535 - 2.66087i) q^{30} +(-0.170640 - 1.51447i) q^{31} +(-7.54621 - 1.72237i) q^{32} +(5.76319 - 2.77541i) q^{33} +(-2.97545 - 7.47972i) q^{34} +(0.226560 + 0.109106i) q^{35} -1.65626i q^{36} +(1.30848 - 1.30848i) q^{37} +(7.98218 + 3.84402i) q^{38} +(7.67966 + 4.82545i) q^{39} +(0.0895065 - 0.794392i) q^{40} +(-1.73422 + 0.195400i) q^{41} -0.326004i q^{42} +(3.52428 - 5.52987i) q^{43} +(-5.67408 - 5.67408i) q^{44} +(1.97581 - 0.222620i) q^{45} +(-7.04849 - 0.794174i) q^{46} +(0.812666 + 3.56052i) q^{47} +(-5.91772 + 2.07070i) q^{48} -6.98663i q^{49} +0.526289 q^{50} +(-4.80742 - 3.51391i) q^{51} +(2.53180 - 11.0925i) q^{52} +(-0.269966 - 0.560591i) q^{53} +(-5.87190 - 9.34507i) q^{54} +(6.00614 - 7.53146i) q^{55} +(0.0401112 - 0.0140355i) q^{56} +(6.51251 - 0.733784i) q^{57} +(4.36977 - 6.95446i) q^{58} +(-5.67042 - 11.7748i) q^{59} +(2.46921 + 5.12736i) q^{60} +(0.428380 - 3.80198i) q^{61} +(-1.58307 + 2.51944i) q^{62} +(0.0562336 + 0.0894952i) q^{63} +(4.00885 + 5.02694i) q^{64} +(13.5729 + 1.52930i) q^{65} +(-12.1755 - 2.77898i) q^{66} +(2.24409 + 9.83202i) q^{67} +(-2.16888 + 7.14819i) q^{68} +(-4.72739 + 2.27659i) q^{69} +(-0.213015 - 0.442329i) q^{70} +(6.91547 + 4.34528i) q^{71} +(0.209501 - 0.262707i) q^{72} +(-0.529334 + 0.185222i) q^{73} +(-3.59009 + 0.404506i) q^{74} +(0.329642 - 0.207128i) q^{75} +(-3.56713 - 7.40722i) q^{76} +(0.499243 + 0.113949i) q^{77} +(-5.84848 - 16.7140i) q^{78} +(-7.52817 - 7.52817i) q^{79} +(-6.67626 + 6.67626i) q^{80} +(-4.88479 - 2.35239i) q^{81} +(2.88501 + 1.81277i) q^{82} +(0.269825 - 0.215178i) q^{83} +(-0.188619 + 0.236521i) q^{84} +(-8.81883 - 1.62653i) q^{85} +(-12.1109 + 4.15088i) q^{86} -6.07572i q^{87} +(-0.182272 - 1.61771i) q^{88} +(0.984617 + 1.23467i) q^{89} +(-3.28691 - 2.06530i) q^{90} +(0.239810 + 0.685337i) q^{91} +(4.65430 + 4.65430i) q^{92} +2.20109i q^{93} +(3.09368 - 6.42410i) q^{94} +(8.35685 - 5.25096i) q^{95} +(10.5515 + 3.69211i) q^{96} +(-0.528864 - 0.841682i) q^{97} +(-8.50470 + 10.6646i) q^{98} +(3.82180 - 1.33731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q - 14 q^{3} + 104 q^{4} - 6 q^{5} - 36 q^{6} - 28 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q - 14 q^{3} + 104 q^{4} - 6 q^{5} - 36 q^{6} - 28 q^{7} - 18 q^{10} - 4 q^{11} + 34 q^{12} + 4 q^{13} + 26 q^{14} - 152 q^{16} - 10 q^{17} - 24 q^{18} + 22 q^{20} - 20 q^{21} + 12 q^{22} - 24 q^{23} - 100 q^{24} + 10 q^{27} - 42 q^{28} - 18 q^{29} + 48 q^{30} + 4 q^{31} + 36 q^{33} - 4 q^{34} - 60 q^{35} + 40 q^{37} + 12 q^{38} + 34 q^{39} + 6 q^{40} - 48 q^{41} - 104 q^{44} - 52 q^{45} - 74 q^{46} + 20 q^{47} + 94 q^{48} - 344 q^{50} + 80 q^{51} + 12 q^{52} + 60 q^{54} - 32 q^{55} - 50 q^{56} + 38 q^{57} + 112 q^{58} - 12 q^{61} + 10 q^{62} + 52 q^{63} + 144 q^{64} - 10 q^{65} - 20 q^{67} - 54 q^{68} - 12 q^{69} + 14 q^{71} - 208 q^{72} - 176 q^{73} + 46 q^{74} - 116 q^{75} + 140 q^{78} - 168 q^{79} + 32 q^{80} + 116 q^{81} + 186 q^{82} - 60 q^{84} - 184 q^{85} + 176 q^{86} + 24 q^{88} - 4 q^{89} - 58 q^{90} - 152 q^{91} - 136 q^{92} + 70 q^{95} - 332 q^{96} + 72 q^{97} + 104 q^{98} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{2}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52642 1.21728i −1.07934 0.860748i −0.0885422 0.996072i \(-0.528221\pi\)
−0.990801 + 0.135325i \(0.956792\pi\)
\(3\) −1.43515 0.161703i −0.828587 0.0933593i −0.312524 0.949910i \(-0.601174\pi\)
−0.516063 + 0.856551i \(0.672603\pi\)
\(4\) 0.403150 + 1.76631i 0.201575 + 0.883157i
\(5\) −2.05291 + 0.718343i −0.918087 + 0.321253i −0.747632 0.664113i \(-0.768809\pi\)
−0.170455 + 0.985365i \(0.554524\pi\)
\(6\) 1.99381 + 1.99381i 0.813971 + 0.813971i
\(7\) −0.0817540 0.0817540i −0.0309001 0.0309001i 0.691488 0.722388i \(-0.256956\pi\)
−0.722388 + 0.691488i \(0.756956\pi\)
\(8\) −0.159477 + 0.331157i −0.0563835 + 0.117082i
\(9\) −0.891265 0.203425i −0.297088 0.0678084i
\(10\) 4.00802 + 1.40247i 1.26745 + 0.443500i
\(11\) −3.75022 + 2.35642i −1.13074 + 0.710488i −0.961423 0.275074i \(-0.911298\pi\)
−0.169312 + 0.985562i \(0.554155\pi\)
\(12\) −0.292964 2.60012i −0.0845713 0.750591i
\(13\) −5.65812 2.72481i −1.56928 0.755725i −0.571392 0.820678i \(-0.693596\pi\)
−0.997888 + 0.0649522i \(0.979311\pi\)
\(14\) 0.0252735 + 0.224309i 0.00675463 + 0.0599490i
\(15\) 3.06239 0.698971i 0.790707 0.180474i
\(16\) 3.91118 1.88352i 0.977795 0.470881i
\(17\) 3.58018 + 2.04507i 0.868322 + 0.496002i
\(18\) 1.11282 + 1.39543i 0.262294 + 0.328907i
\(19\) −4.42408 + 1.00977i −1.01495 + 0.231656i −0.697475 0.716609i \(-0.745693\pi\)
−0.317478 + 0.948266i \(0.602836\pi\)
\(20\) −2.09645 3.33648i −0.468780 0.746059i
\(21\) 0.104110 + 0.130549i 0.0227186 + 0.0284882i
\(22\) 8.59286 + 0.968182i 1.83200 + 0.206417i
\(23\) 3.07621 1.93291i 0.641434 0.403040i −0.171673 0.985154i \(-0.554917\pi\)
0.813107 + 0.582114i \(0.197774\pi\)
\(24\) 0.282422 0.449473i 0.0576492 0.0917482i
\(25\) −0.210754 + 0.168071i −0.0421508 + 0.0336141i
\(26\) 5.31982 + 11.0467i 1.04330 + 2.16644i
\(27\) 5.33578 + 1.86707i 1.02687 + 0.359318i
\(28\) 0.111444 0.177362i 0.0210610 0.0335183i
\(29\) 0.471021 + 4.18042i 0.0874663 + 0.776285i 0.958506 + 0.285072i \(0.0920177\pi\)
−0.871040 + 0.491213i \(0.836554\pi\)
\(30\) −5.52535 2.66087i −1.00879 0.485806i
\(31\) −0.170640 1.51447i −0.0306478 0.272007i −0.999685 0.0250926i \(-0.992012\pi\)
0.969037 0.246914i \(-0.0794166\pi\)
\(32\) −7.54621 1.72237i −1.33399 0.304475i
\(33\) 5.76319 2.77541i 1.00324 0.483136i
\(34\) −2.97545 7.47972i −0.510285 1.28276i
\(35\) 0.226560 + 0.109106i 0.0382957 + 0.0184422i
\(36\) 1.65626i 0.276044i
\(37\) 1.30848 1.30848i 0.215114 0.215114i −0.591322 0.806436i \(-0.701394\pi\)
0.806436 + 0.591322i \(0.201394\pi\)
\(38\) 7.98218 + 3.84402i 1.29488 + 0.623582i
\(39\) 7.67966 + 4.82545i 1.22973 + 0.772691i
\(40\) 0.0895065 0.794392i 0.0141522 0.125604i
\(41\) −1.73422 + 0.195400i −0.270840 + 0.0305163i −0.246340 0.969184i \(-0.579228\pi\)
−0.0244998 + 0.999700i \(0.507799\pi\)
\(42\) 0.326004i 0.0503035i
\(43\) 3.52428 5.52987i 0.537447 0.843297i
\(44\) −5.67408 5.67408i −0.855400 0.855400i
\(45\) 1.97581 0.222620i 0.294536 0.0331863i
\(46\) −7.04849 0.794174i −1.03924 0.117095i
\(47\) 0.812666 + 3.56052i 0.118539 + 0.519355i 0.998978 + 0.0451954i \(0.0143910\pi\)
−0.880439 + 0.474160i \(0.842752\pi\)
\(48\) −5.91772 + 2.07070i −0.854149 + 0.298880i
\(49\) 6.98663i 0.998090i
\(50\) 0.526289 0.0744285
\(51\) −4.80742 3.51391i −0.673173 0.492046i
\(52\) 2.53180 11.0925i 0.351097 1.53826i
\(53\) −0.269966 0.560591i −0.0370827 0.0770031i 0.881604 0.471989i \(-0.156464\pi\)
−0.918687 + 0.394986i \(0.870749\pi\)
\(54\) −5.87190 9.34507i −0.799064 1.27170i
\(55\) 6.00614 7.53146i 0.809867 1.01554i
\(56\) 0.0401112 0.0140355i 0.00536008 0.00187557i
\(57\) 6.51251 0.733784i 0.862604 0.0971921i
\(58\) 4.36977 6.95446i 0.573780 0.913165i
\(59\) −5.67042 11.7748i −0.738226 1.53294i −0.842681 0.538413i \(-0.819024\pi\)
0.104455 0.994530i \(-0.466690\pi\)
\(60\) 2.46921 + 5.12736i 0.318773 + 0.661939i
\(61\) 0.428380 3.80198i 0.0548484 0.486793i −0.936019 0.351951i \(-0.885519\pi\)
0.990867 0.134843i \(-0.0430529\pi\)
\(62\) −1.58307 + 2.51944i −0.201050 + 0.319969i
\(63\) 0.0562336 + 0.0894952i 0.00708477 + 0.0112753i
\(64\) 4.00885 + 5.02694i 0.501106 + 0.628367i
\(65\) 13.5729 + 1.52930i 1.68351 + 0.189687i
\(66\) −12.1755 2.77898i −1.49870 0.342069i
\(67\) 2.24409 + 9.83202i 0.274160 + 1.20117i 0.905052 + 0.425302i \(0.139832\pi\)
−0.630892 + 0.775871i \(0.717311\pi\)
\(68\) −2.16888 + 7.14819i −0.263016 + 0.866846i
\(69\) −4.72739 + 2.27659i −0.569111 + 0.274069i
\(70\) −0.213015 0.442329i −0.0254601 0.0528685i
\(71\) 6.91547 + 4.34528i 0.820715 + 0.515689i 0.875733 0.482796i \(-0.160379\pi\)
−0.0550180 + 0.998485i \(0.517522\pi\)
\(72\) 0.209501 0.262707i 0.0246900 0.0309603i
\(73\) −0.529334 + 0.185222i −0.0619539 + 0.0216786i −0.361078 0.932536i \(-0.617591\pi\)
0.299124 + 0.954214i \(0.403306\pi\)
\(74\) −3.59009 + 0.404506i −0.417340 + 0.0470229i
\(75\) 0.329642 0.207128i 0.0380638 0.0239171i
\(76\) −3.56713 7.40722i −0.409178 0.849667i
\(77\) 0.499243 + 0.113949i 0.0568940 + 0.0129857i
\(78\) −5.84848 16.7140i −0.662210 1.89249i
\(79\) −7.52817 7.52817i −0.846985 0.846985i 0.142771 0.989756i \(-0.454399\pi\)
−0.989756 + 0.142771i \(0.954399\pi\)
\(80\) −6.67626 + 6.67626i −0.746429 + 0.746429i
\(81\) −4.88479 2.35239i −0.542755 0.261377i
\(82\) 2.88501 + 1.81277i 0.318596 + 0.200187i
\(83\) 0.269825 0.215178i 0.0296171 0.0236189i −0.608569 0.793501i \(-0.708256\pi\)
0.638187 + 0.769882i \(0.279685\pi\)
\(84\) −0.188619 + 0.236521i −0.0205801 + 0.0258066i
\(85\) −8.81883 1.62653i −0.956537 0.176422i
\(86\) −12.1109 + 4.15088i −1.30596 + 0.447601i
\(87\) 6.07572i 0.651385i
\(88\) −0.182272 1.61771i −0.0194302 0.172448i
\(89\) 0.984617 + 1.23467i 0.104369 + 0.130875i 0.831273 0.555865i \(-0.187613\pi\)
−0.726904 + 0.686740i \(0.759041\pi\)
\(90\) −3.28691 2.06530i −0.346471 0.217702i
\(91\) 0.239810 + 0.685337i 0.0251389 + 0.0718429i
\(92\) 4.65430 + 4.65430i 0.485244 + 0.485244i
\(93\) 2.20109i 0.228243i
\(94\) 3.09368 6.42410i 0.319089 0.662595i
\(95\) 8.35685 5.25096i 0.857395 0.538737i
\(96\) 10.5515 + 3.69211i 1.07690 + 0.376825i
\(97\) −0.528864 0.841682i −0.0536980 0.0854598i 0.818796 0.574084i \(-0.194642\pi\)
−0.872494 + 0.488624i \(0.837499\pi\)
\(98\) −8.50470 + 10.6646i −0.859104 + 1.07728i
\(99\) 3.82180 1.33731i 0.384105 0.134404i
\(100\) −0.381831 0.304500i −0.0381831 0.0304500i
\(101\) 1.91201 + 8.37706i 0.190252 + 0.833548i 0.976479 + 0.215611i \(0.0691743\pi\)
−0.786227 + 0.617937i \(0.787969\pi\)
\(102\) 3.06073 + 11.2157i 0.303058 + 1.11052i
\(103\) 9.96088 4.79691i 0.981474 0.472653i 0.126862 0.991920i \(-0.459509\pi\)
0.854612 + 0.519267i \(0.173795\pi\)
\(104\) 1.80468 1.43918i 0.176963 0.141123i
\(105\) −0.307506 0.193219i −0.0300096 0.0188563i
\(106\) −0.270314 + 1.18432i −0.0262552 + 0.115032i
\(107\) −12.5447 1.41345i −1.21275 0.136644i −0.517670 0.855580i \(-0.673200\pi\)
−0.695075 + 0.718937i \(0.744629\pi\)
\(108\) −1.14671 + 10.1774i −0.110343 + 0.979317i
\(109\) −0.0991107 + 0.0622754i −0.00949308 + 0.00596490i −0.536770 0.843728i \(-0.680356\pi\)
0.527277 + 0.849693i \(0.323213\pi\)
\(110\) −18.3358 + 4.18503i −1.74825 + 0.399027i
\(111\) −2.08946 + 1.66629i −0.198323 + 0.158157i
\(112\) −0.473740 0.165769i −0.0447642 0.0156637i
\(113\) 13.2196 + 4.62573i 1.24359 + 0.435152i 0.870282 0.492554i \(-0.163937\pi\)
0.373312 + 0.927706i \(0.378222\pi\)
\(114\) −10.8341 6.80750i −1.01470 0.637580i
\(115\) −4.92667 + 6.17785i −0.459415 + 0.576088i
\(116\) −7.19405 + 2.51731i −0.667951 + 0.233726i
\(117\) 4.48859 + 3.57953i 0.414970 + 0.330928i
\(118\) −5.67773 + 24.8757i −0.522677 + 2.29000i
\(119\) −0.125502 0.459886i −0.0115047 0.0421577i
\(120\) −0.256911 + 1.12560i −0.0234527 + 0.102753i
\(121\) 3.73874 7.76357i 0.339885 0.705779i
\(122\) −5.28196 + 5.28196i −0.478206 + 0.478206i
\(123\) 2.52047 0.227263
\(124\) 2.60624 0.911962i 0.234047 0.0818966i
\(125\) 6.09766 9.70437i 0.545391 0.867985i
\(126\) 0.0231047 0.205060i 0.00205833 0.0182682i
\(127\) 6.90627 + 5.50757i 0.612833 + 0.488718i 0.880026 0.474925i \(-0.157525\pi\)
−0.267194 + 0.963643i \(0.586096\pi\)
\(128\) 2.92742i 0.258750i
\(129\) −5.95208 + 7.36633i −0.524051 + 0.648569i
\(130\) −18.8564 18.8564i −1.65382 1.65382i
\(131\) −0.619267 5.49615i −0.0541056 0.480201i −0.991322 0.131453i \(-0.958036\pi\)
0.937217 0.348747i \(-0.113393\pi\)
\(132\) 7.22567 + 9.06070i 0.628914 + 0.788633i
\(133\) 0.444238 + 0.279133i 0.0385203 + 0.0242039i
\(134\) 8.54290 17.7395i 0.737994 1.53246i
\(135\) −12.2950 −1.05819
\(136\) −1.24819 + 0.859460i −0.107032 + 0.0736981i
\(137\) 11.7941 + 5.67972i 1.00763 + 0.485251i 0.863522 0.504310i \(-0.168253\pi\)
0.144112 + 0.989561i \(0.453968\pi\)
\(138\) 9.98725 + 2.27952i 0.850171 + 0.194046i
\(139\) 5.02167 14.3511i 0.425932 1.21724i −0.508487 0.861070i \(-0.669795\pi\)
0.934419 0.356175i \(-0.115919\pi\)
\(140\) −0.101377 + 0.444163i −0.00856795 + 0.0375386i
\(141\) −0.590553 5.24131i −0.0497336 0.441398i
\(142\) −5.26650 15.0508i −0.441955 1.26303i
\(143\) 27.6400 3.11428i 2.31137 0.260429i
\(144\) −3.86905 + 0.883086i −0.322421 + 0.0735905i
\(145\) −3.96994 8.24366i −0.329685 0.684599i
\(146\) 1.03345 + 0.361621i 0.0855293 + 0.0299280i
\(147\) −1.12976 + 10.0269i −0.0931810 + 0.827004i
\(148\) 2.83871 + 1.78368i 0.233341 + 0.146618i
\(149\) −4.42861 + 19.4030i −0.362806 + 1.58956i 0.383232 + 0.923652i \(0.374811\pi\)
−0.746037 + 0.665904i \(0.768046\pi\)
\(150\) −0.755306 0.0851025i −0.0616704 0.00694859i
\(151\) −10.9692 + 8.74768i −0.892665 + 0.711876i −0.958238 0.285971i \(-0.907684\pi\)
0.0655735 + 0.997848i \(0.479112\pi\)
\(152\) 0.371146 1.62610i 0.0301039 0.131894i
\(153\) −2.77487 2.55100i −0.224335 0.206236i
\(154\) −0.623347 0.781653i −0.0502307 0.0629874i
\(155\) 1.43822 + 2.98649i 0.115520 + 0.239880i
\(156\) −5.42721 + 15.5101i −0.434525 + 1.24180i
\(157\) 2.82782 + 12.3895i 0.225685 + 0.988790i 0.953115 + 0.302608i \(0.0978574\pi\)
−0.727430 + 0.686182i \(0.759285\pi\)
\(158\) 2.32727 + 20.6551i 0.185147 + 1.64323i
\(159\) 0.296794 + 0.848189i 0.0235373 + 0.0672657i
\(160\) 16.7289 1.88489i 1.32254 0.149014i
\(161\) −0.409515 0.0934692i −0.0322743 0.00736640i
\(162\) 4.59273 + 9.53691i 0.360839 + 0.749290i
\(163\) 3.44914 2.16724i 0.270157 0.169751i −0.390140 0.920756i \(-0.627573\pi\)
0.660297 + 0.751005i \(0.270430\pi\)
\(164\) −1.04429 2.98440i −0.0815451 0.233043i
\(165\) −9.83759 + 9.83759i −0.765855 + 0.765855i
\(166\) −0.673799 −0.0522970
\(167\) 7.55014 2.64191i 0.584247 0.204437i −0.0219396 0.999759i \(-0.506984\pi\)
0.606187 + 0.795322i \(0.292698\pi\)
\(168\) −0.0598353 + 0.0136570i −0.00461640 + 0.00105366i
\(169\) 16.4844 + 20.6708i 1.26803 + 1.59006i
\(170\) 11.4813 + 13.2178i 0.880577 + 1.01376i
\(171\) 4.14844 0.317239
\(172\) 11.1883 + 3.99562i 0.853100 + 0.304663i
\(173\) −5.91364 + 5.91364i −0.449606 + 0.449606i −0.895223 0.445618i \(-0.852984\pi\)
0.445618 + 0.895223i \(0.352984\pi\)
\(174\) −7.39586 + 9.27411i −0.560678 + 0.703068i
\(175\) 0.0309704 + 0.00348953i 0.00234114 + 0.000263784i
\(176\) −10.2294 + 16.2800i −0.771072 + 1.22715i
\(177\) 6.23392 + 17.8155i 0.468570 + 1.33910i
\(178\) 3.08318i 0.231094i
\(179\) 11.5740i 0.865082i 0.901614 + 0.432541i \(0.142383\pi\)
−0.901614 + 0.432541i \(0.857617\pi\)
\(180\) 1.18977 + 3.40015i 0.0886799 + 0.253432i
\(181\) 3.06068 1.92315i 0.227498 0.142947i −0.413460 0.910522i \(-0.635680\pi\)
0.640959 + 0.767575i \(0.278537\pi\)
\(182\) 0.468197 1.33803i 0.0347051 0.0991814i
\(183\) −1.22958 + 5.38715i −0.0908933 + 0.398230i
\(184\) 0.149513 + 1.32696i 0.0110222 + 0.0978248i
\(185\) −1.74625 + 3.62613i −0.128387 + 0.266599i
\(186\) 2.67935 3.35980i 0.196459 0.246352i
\(187\) −18.2455 + 0.766959i −1.33425 + 0.0560856i
\(188\) −5.96137 + 2.87085i −0.434778 + 0.209378i
\(189\) −0.283581 0.588861i −0.0206274 0.0428333i
\(190\) −19.1480 2.15746i −1.38914 0.156519i
\(191\) 0.389209 + 1.70524i 0.0281622 + 0.123387i 0.987055 0.160382i \(-0.0512725\pi\)
−0.958893 + 0.283768i \(0.908415\pi\)
\(192\) −4.94044 7.86267i −0.356546 0.567439i
\(193\) 1.50378 13.3464i 0.108245 0.960698i −0.815779 0.578364i \(-0.803692\pi\)
0.924024 0.382335i \(-0.124880\pi\)
\(194\) −0.217294 + 1.92854i −0.0156008 + 0.138461i
\(195\) −19.2319 4.38957i −1.37723 0.314343i
\(196\) 12.3406 2.81666i 0.881471 0.201190i
\(197\) −1.49025 + 13.2264i −0.106176 + 0.942339i 0.821819 + 0.569748i \(0.192959\pi\)
−0.927996 + 0.372591i \(0.878469\pi\)
\(198\) −7.46156 2.61091i −0.530270 0.185549i
\(199\) −5.22534 + 14.9332i −0.370415 + 1.05858i 0.596308 + 0.802756i \(0.296634\pi\)
−0.966722 + 0.255828i \(0.917652\pi\)
\(200\) −0.0220474 0.0965959i −0.00155899 0.00683036i
\(201\) −1.63075 14.4733i −0.115025 1.02087i
\(202\) 7.27870 15.1144i 0.512128 1.06344i
\(203\) 0.303258 0.380274i 0.0212846 0.0266900i
\(204\) 4.26856 9.90804i 0.298859 0.693702i
\(205\) 3.41982 1.64690i 0.238851 0.115024i
\(206\) −21.0437 4.80308i −1.46618 0.334647i
\(207\) −3.13492 + 1.09696i −0.217892 + 0.0762437i
\(208\) −27.2622 −1.89029
\(209\) 14.2118 14.2118i 0.983054 0.983054i
\(210\) 0.234183 + 0.669256i 0.0161601 + 0.0461830i
\(211\) 11.0941 17.6562i 0.763752 1.21550i −0.207682 0.978196i \(-0.566592\pi\)
0.971434 0.237308i \(-0.0762651\pi\)
\(212\) 0.881343 0.702847i 0.0605309 0.0482718i
\(213\) −9.22211 7.35439i −0.631889 0.503915i
\(214\) 17.4280 + 17.4280i 1.19135 + 1.19135i
\(215\) −3.26267 + 13.8839i −0.222512 + 0.946877i
\(216\) −1.46922 + 1.46922i −0.0999680 + 0.0999680i
\(217\) −0.109864 + 0.137764i −0.00745802 + 0.00935206i
\(218\) 0.227091 + 0.0255871i 0.0153806 + 0.00173297i
\(219\) 0.789627 0.180227i 0.0533580 0.0121786i
\(220\) 15.7243 + 7.57242i 1.06013 + 0.510532i
\(221\) −14.6847 21.3265i −0.987799 1.43458i
\(222\) 5.21775 0.350192
\(223\) −2.56300 + 5.32213i −0.171631 + 0.356396i −0.968986 0.247115i \(-0.920518\pi\)
0.797355 + 0.603511i \(0.206232\pi\)
\(224\) 0.476122 + 0.757743i 0.0318122 + 0.0506288i
\(225\) 0.222027 0.106923i 0.0148018 0.00712818i
\(226\) −14.5478 23.1528i −0.967708 1.54010i
\(227\) 1.91282 0.215524i 0.126959 0.0143048i −0.0482565 0.998835i \(-0.515366\pi\)
0.175215 + 0.984530i \(0.443938\pi\)
\(228\) 3.92161 + 11.2073i 0.259715 + 0.742223i
\(229\) 16.0315 + 12.7847i 1.05939 + 0.844837i 0.988283 0.152632i \(-0.0487749\pi\)
0.0711085 + 0.997469i \(0.477346\pi\)
\(230\) 15.0404 3.43287i 0.991732 0.226356i
\(231\) −0.698064 0.244263i −0.0459292 0.0160713i
\(232\) −1.45949 0.510698i −0.0958203 0.0335290i
\(233\) 15.9398 + 1.79599i 1.04425 + 0.117659i 0.617390 0.786657i \(-0.288190\pi\)
0.426863 + 0.904316i \(0.359619\pi\)
\(234\) −2.49419 10.9277i −0.163050 0.714369i
\(235\) −4.22600 6.72564i −0.275674 0.438732i
\(236\) 18.5119 14.7627i 1.20502 0.960972i
\(237\) 9.58676 + 12.0214i 0.622727 + 0.780875i
\(238\) −0.368242 + 0.854752i −0.0238696 + 0.0554053i
\(239\) −5.59198 24.5001i −0.361715 1.58478i −0.748841 0.662750i \(-0.769389\pi\)
0.387126 0.922027i \(-0.373468\pi\)
\(240\) 10.6610 8.50189i 0.688167 0.548795i
\(241\) −6.17728 + 17.6537i −0.397914 + 1.13717i 0.554452 + 0.832216i \(0.312928\pi\)
−0.952366 + 0.304957i \(0.901358\pi\)
\(242\) −15.1573 + 7.29939i −0.974351 + 0.469223i
\(243\) −7.72956 4.85681i −0.495852 0.311564i
\(244\) 6.88819 0.776112i 0.440971 0.0496855i
\(245\) 5.01880 + 14.3429i 0.320639 + 0.916334i
\(246\) −3.84730 3.06812i −0.245295 0.195616i
\(247\) 27.7834 + 6.34137i 1.76781 + 0.403492i
\(248\) 0.528740 + 0.185014i 0.0335750 + 0.0117484i
\(249\) −0.422035 + 0.265182i −0.0267454 + 0.0168052i
\(250\) −21.1205 + 7.39040i −1.33578 + 0.467410i
\(251\) −28.3448 −1.78911 −0.894554 0.446960i \(-0.852507\pi\)
−0.894554 + 0.446960i \(0.852507\pi\)
\(252\) −0.135406 + 0.135406i −0.00852979 + 0.00852979i
\(253\) −6.98172 + 14.4977i −0.438937 + 0.911462i
\(254\) −3.83763 16.8137i −0.240794 1.05499i
\(255\) 12.3934 + 3.76036i 0.776103 + 0.235483i
\(256\) 11.5812 14.5224i 0.723824 0.907647i
\(257\) 3.05299i 0.190440i 0.995456 + 0.0952200i \(0.0303555\pi\)
−0.995456 + 0.0952200i \(0.969645\pi\)
\(258\) 18.0523 3.99878i 1.12389 0.248953i
\(259\) −0.213948 −0.0132941
\(260\) 2.77069 + 24.5906i 0.171831 + 1.52504i
\(261\) 0.430600 3.82168i 0.0266535 0.236556i
\(262\) −5.74509 + 9.14326i −0.354933 + 0.564873i
\(263\) 8.27145 17.1758i 0.510039 1.05911i −0.473896 0.880581i \(-0.657153\pi\)
0.983935 0.178527i \(-0.0571330\pi\)
\(264\) 2.35113i 0.144702i
\(265\) 0.956912 + 0.956912i 0.0587826 + 0.0587826i
\(266\) −0.338311 0.966838i −0.0207432 0.0592807i
\(267\) −1.21343 1.93116i −0.0742605 0.118185i
\(268\) −16.4617 + 7.92755i −1.00556 + 0.484252i
\(269\) −3.87051 6.15988i −0.235989 0.375575i 0.707643 0.706570i \(-0.249758\pi\)
−0.943632 + 0.330995i \(0.892616\pi\)
\(270\) 18.7674 + 14.9665i 1.14215 + 0.910833i
\(271\) −9.62855 4.63687i −0.584893 0.281669i 0.117945 0.993020i \(-0.462370\pi\)
−0.702837 + 0.711351i \(0.748084\pi\)
\(272\) 17.8547 + 1.25526i 1.08260 + 0.0761115i
\(273\) −0.233343 1.02234i −0.0141226 0.0618750i
\(274\) −11.0889 23.0263i −0.669905 1.39107i
\(275\) 0.394329 1.12693i 0.0237789 0.0679563i
\(276\) −5.92702 7.43225i −0.356765 0.447369i
\(277\) 13.2967 + 8.35488i 0.798922 + 0.501996i 0.868565 0.495576i \(-0.165043\pi\)
−0.0696427 + 0.997572i \(0.522186\pi\)
\(278\) −25.1345 + 15.7931i −1.50747 + 0.947205i
\(279\) −0.155996 + 1.38451i −0.00933927 + 0.0828883i
\(280\) −0.0722622 + 0.0576272i −0.00431849 + 0.00344388i
\(281\) −16.9309 3.86436i −1.01001 0.230529i −0.314665 0.949203i \(-0.601892\pi\)
−0.695347 + 0.718674i \(0.744749\pi\)
\(282\) −5.47871 + 8.71932i −0.326252 + 0.519228i
\(283\) 3.53284 31.3548i 0.210005 1.86385i −0.239934 0.970789i \(-0.577126\pi\)
0.449939 0.893059i \(-0.351446\pi\)
\(284\) −4.88715 + 13.9667i −0.289999 + 0.828770i
\(285\) −12.8425 + 6.18461i −0.760722 + 0.366344i
\(286\) −45.9813 28.8920i −2.71893 1.70842i
\(287\) 0.157754 + 0.125805i 0.00931192 + 0.00742601i
\(288\) 6.37529 + 3.07018i 0.375668 + 0.180912i
\(289\) 8.63540 + 14.6434i 0.507965 + 0.861378i
\(290\) −3.97505 + 17.4158i −0.233423 + 1.02269i
\(291\) 0.622898 + 1.29346i 0.0365149 + 0.0758241i
\(292\) −0.540561 0.860298i −0.0316339 0.0503451i
\(293\) 17.3657 + 8.36286i 1.01451 + 0.488563i 0.865839 0.500323i \(-0.166785\pi\)
0.148673 + 0.988886i \(0.452500\pi\)
\(294\) 13.9300 13.9300i 0.812416 0.812416i
\(295\) 20.0991 + 20.0991i 1.17022 + 1.17022i
\(296\) 0.224641 + 0.641986i 0.0130570 + 0.0373147i
\(297\) −24.4100 + 5.57141i −1.41641 + 0.323286i
\(298\) 30.3788 24.2263i 1.75980 1.40339i
\(299\) −22.6724 + 2.55456i −1.31118 + 0.147734i
\(300\) 0.498748 + 0.498748i 0.0287952 + 0.0287952i
\(301\) −0.740212 + 0.163965i −0.0426651 + 0.00945079i
\(302\) 27.3921 1.57624
\(303\) −1.38943 12.3315i −0.0798207 0.708429i
\(304\) −15.4014 + 12.2822i −0.883333 + 0.704435i
\(305\) 1.85170 + 8.11282i 0.106028 + 0.464539i
\(306\) 1.13035 + 7.27169i 0.0646176 + 0.415695i
\(307\) 25.9853 1.48306 0.741530 0.670920i \(-0.234100\pi\)
0.741530 + 0.670920i \(0.234100\pi\)
\(308\) 0.927758i 0.0528639i
\(309\) −15.0711 + 5.27359i −0.857363 + 0.300004i
\(310\) 1.44007 6.30936i 0.0817904 0.358347i
\(311\) 5.85181 16.7235i 0.331826 0.948304i −0.650234 0.759734i \(-0.725329\pi\)
0.982060 0.188570i \(-0.0603852\pi\)
\(312\) −2.82271 + 1.77362i −0.159804 + 0.100412i
\(313\) 26.7532 3.01436i 1.51218 0.170382i 0.683437 0.730010i \(-0.260485\pi\)
0.828744 + 0.559628i \(0.189056\pi\)
\(314\) 10.7651 22.3539i 0.607507 1.26150i
\(315\) −0.179730 0.143330i −0.0101267 0.00807575i
\(316\) 10.2621 16.3321i 0.577290 0.918752i
\(317\) −28.9309 10.1234i −1.62492 0.568585i −0.644348 0.764732i \(-0.722871\pi\)
−0.980575 + 0.196147i \(0.937157\pi\)
\(318\) 0.579451 1.65598i 0.0324940 0.0928625i
\(319\) −11.6173 14.5676i −0.650443 0.815629i
\(320\) −11.8408 7.44010i −0.661924 0.415914i
\(321\) 17.7751 + 4.05704i 0.992108 + 0.226442i
\(322\) 0.511315 + 0.641169i 0.0284945 + 0.0357309i
\(323\) −17.9040 5.43239i −0.996208 0.302266i
\(324\) 2.18576 9.57644i 0.121431 0.532025i
\(325\) 1.65043 0.376700i 0.0915495 0.0208956i
\(326\) −7.90298 0.890452i −0.437706 0.0493176i
\(327\) 0.152309 0.0733483i 0.00842272 0.00405617i
\(328\) 0.211859 0.605460i 0.0116980 0.0334309i
\(329\) 0.224648 0.357525i 0.0123852 0.0197110i
\(330\) 26.9914 3.04120i 1.48583 0.167413i
\(331\) 0.841883 1.74819i 0.0462741 0.0960891i −0.876550 0.481311i \(-0.840161\pi\)
0.922824 + 0.385222i \(0.125875\pi\)
\(332\) 0.488852 + 0.389847i 0.0268292 + 0.0213956i
\(333\) −1.43238 + 0.900027i −0.0784942 + 0.0493212i
\(334\) −14.7406 5.15797i −0.806572 0.282232i
\(335\) −11.6697 18.5722i −0.637582 1.01471i
\(336\) 0.653084 + 0.314509i 0.0356287 + 0.0171579i
\(337\) 4.13785 4.13785i 0.225403 0.225403i −0.585366 0.810769i \(-0.699049\pi\)
0.810769 + 0.585366i \(0.199049\pi\)
\(338\) 51.6184i 2.80767i
\(339\) −18.2241 8.77628i −0.989799 0.476662i
\(340\) −0.682343 16.2326i −0.0370052 0.880334i
\(341\) 4.20867 + 5.27751i 0.227912 + 0.285793i
\(342\) −6.33227 5.04981i −0.342410 0.273063i
\(343\) −1.14346 + 1.14346i −0.0617412 + 0.0617412i
\(344\) 1.26921 + 2.04897i 0.0684314 + 0.110473i
\(345\) 8.06951 8.06951i 0.434448 0.434448i
\(346\) 16.2253 1.82815i 0.872276 0.0982819i
\(347\) −0.0584233 + 0.518521i −0.00313633 + 0.0278357i −0.995183 0.0980356i \(-0.968744\pi\)
0.992047 + 0.125871i \(0.0401727\pi\)
\(348\) 10.7316 2.44942i 0.575276 0.131303i
\(349\) −5.48290 + 11.3854i −0.293493 + 0.609444i −0.994620 0.103592i \(-0.966966\pi\)
0.701127 + 0.713036i \(0.252681\pi\)
\(350\) −0.0430262 0.0430262i −0.00229985 0.00229985i
\(351\) −25.1031 25.1031i −1.33990 1.33990i
\(352\) 32.3586 11.3228i 1.72472 0.603506i
\(353\) 2.51345 11.0121i 0.133777 0.586117i −0.862951 0.505288i \(-0.831386\pi\)
0.996728 0.0808285i \(-0.0257566\pi\)
\(354\) 12.1709 34.7824i 0.646876 1.84866i
\(355\) −17.3182 3.95276i −0.919154 0.209791i
\(356\) −1.78387 + 2.23690i −0.0945448 + 0.118555i
\(357\) 0.105749 + 0.680302i 0.00559684 + 0.0360054i
\(358\) 14.0888 17.6668i 0.744618 0.933721i
\(359\) −11.5320 + 2.63211i −0.608636 + 0.138917i −0.515721 0.856757i \(-0.672476\pi\)
−0.0929154 + 0.995674i \(0.529619\pi\)
\(360\) −0.241373 + 0.689805i −0.0127215 + 0.0363559i
\(361\) 1.43442 0.690782i 0.0754960 0.0363569i
\(362\) −7.01290 0.790164i −0.368590 0.0415301i
\(363\) −6.62106 + 10.5374i −0.347515 + 0.553068i
\(364\) −1.11384 + 0.699873i −0.0583812 + 0.0366833i
\(365\) 0.953620 0.760486i 0.0499147 0.0398057i
\(366\) 8.43454 6.72632i 0.440880 0.351590i
\(367\) 4.37684 2.75015i 0.228469 0.143557i −0.412933 0.910761i \(-0.635496\pi\)
0.641403 + 0.767204i \(0.278353\pi\)
\(368\) 8.39092 13.3541i 0.437407 0.696129i
\(369\) 1.58540 + 0.178631i 0.0825325 + 0.00929918i
\(370\) 7.07955 3.40933i 0.368048 0.177243i
\(371\) −0.0237597 + 0.0679013i −0.00123354 + 0.00352526i
\(372\) −3.88782 + 0.887370i −0.201574 + 0.0460080i
\(373\) −16.8044 + 21.0721i −0.870099 + 1.09107i 0.124997 + 0.992157i \(0.460108\pi\)
−0.995096 + 0.0989124i \(0.968464\pi\)
\(374\) 28.7840 + 21.0392i 1.48838 + 1.08791i
\(375\) −10.3203 + 12.9413i −0.532938 + 0.668283i
\(376\) −1.30869 0.298700i −0.0674906 0.0154043i
\(377\) 8.72576 24.9368i 0.449399 1.28431i
\(378\) −0.283946 + 1.24405i −0.0146046 + 0.0639869i
\(379\) 19.0535 6.66710i 0.978712 0.342466i 0.206932 0.978355i \(-0.433652\pi\)
0.771780 + 0.635889i \(0.219367\pi\)
\(380\) 12.6439 + 12.6439i 0.648619 + 0.648619i
\(381\) −9.02097 9.02097i −0.462158 0.462158i
\(382\) 1.48166 3.07669i 0.0758081 0.157417i
\(383\) −26.7904 + 6.11472i −1.36892 + 0.312448i −0.842922 0.538036i \(-0.819167\pi\)
−0.526001 + 0.850484i \(0.676309\pi\)
\(384\) 0.473373 4.20130i 0.0241567 0.214397i
\(385\) −1.10675 + 0.124701i −0.0564053 + 0.00635535i
\(386\) −18.5418 + 18.5418i −0.943752 + 0.943752i
\(387\) −4.26598 + 4.21165i −0.216852 + 0.214090i
\(388\) 1.27346 1.27346i 0.0646503 0.0646503i
\(389\) −28.1574 22.4548i −1.42764 1.13850i −0.968166 0.250307i \(-0.919468\pi\)
−0.459469 0.888194i \(-0.651960\pi\)
\(390\) 24.0127 + 30.1110i 1.21593 + 1.52473i
\(391\) 14.9663 0.629116i 0.756879 0.0318157i
\(392\) 2.31367 + 1.11420i 0.116858 + 0.0562758i
\(393\) 7.98796i 0.402939i
\(394\) 18.3750 18.3750i 0.925717 0.925717i
\(395\) 20.8624 + 10.0468i 1.04970 + 0.505510i
\(396\) 3.90286 + 6.21136i 0.196126 + 0.312133i
\(397\) −27.1476 9.49935i −1.36250 0.476758i −0.452645 0.891691i \(-0.649520\pi\)
−0.909852 + 0.414932i \(0.863805\pi\)
\(398\) 26.1539 16.4336i 1.31098 0.823742i
\(399\) −0.592414 0.472434i −0.0296578 0.0236513i
\(400\) −0.507731 + 1.05431i −0.0253866 + 0.0527157i
\(401\) −32.3440 + 3.64429i −1.61518 + 0.181987i −0.872831 0.488023i \(-0.837718\pi\)
−0.742352 + 0.670010i \(0.766290\pi\)
\(402\) −15.1289 + 24.0775i −0.754561 + 1.20088i
\(403\) −3.16114 + 9.03402i −0.157468 + 0.450017i
\(404\) −14.0257 + 6.75441i −0.697804 + 0.336045i
\(405\) 11.7178 + 1.32028i 0.582264 + 0.0656054i
\(406\) −0.925801 + 0.211308i −0.0459467 + 0.0104870i
\(407\) −1.82377 + 7.99045i −0.0904009 + 0.396072i
\(408\) 1.93033 1.03162i 0.0955654 0.0510729i
\(409\) 0.197819 + 0.248058i 0.00978154 + 0.0122657i 0.786698 0.617338i \(-0.211789\pi\)
−0.776917 + 0.629603i \(0.783217\pi\)
\(410\) −7.22484 1.64902i −0.356809 0.0814394i
\(411\) −16.0079 10.0584i −0.789609 0.496145i
\(412\) 12.4886 + 15.6602i 0.615268 + 0.771521i
\(413\) −0.499053 + 1.42621i −0.0245568 + 0.0701793i
\(414\) 6.12051 + 2.14166i 0.300807 + 0.105257i
\(415\) −0.399353 + 0.635567i −0.0196035 + 0.0311988i
\(416\) 38.0042 + 30.3073i 1.86331 + 1.48594i
\(417\) −9.52748 + 19.7840i −0.466563 + 0.968828i
\(418\) −38.9931 + 4.39347i −1.90721 + 0.214891i
\(419\) 20.6887 12.9995i 1.01071 0.635070i 0.0784698 0.996916i \(-0.474997\pi\)
0.932238 + 0.361847i \(0.117854\pi\)
\(420\) 0.217315 0.621049i 0.0106039 0.0303041i
\(421\) 3.00685 13.1739i 0.146545 0.642055i −0.847285 0.531139i \(-0.821764\pi\)
0.993830 0.110916i \(-0.0353785\pi\)
\(422\) −38.4269 + 13.4462i −1.87059 + 0.654549i
\(423\) 3.33868i 0.162332i
\(424\) 0.228697 0.0111065
\(425\) −1.09825 + 0.170718i −0.0532731 + 0.00828102i
\(426\) 5.12448 + 22.4518i 0.248282 + 1.08779i
\(427\) −0.345848 + 0.275805i −0.0167368 + 0.0133471i
\(428\) −2.56081 22.7278i −0.123781 1.09859i
\(429\) −40.1713 −1.93949
\(430\) 21.8809 17.2212i 1.05519 0.830479i
\(431\) 14.2381 + 14.2381i 0.685826 + 0.685826i 0.961307 0.275480i \(-0.0888369\pi\)
−0.275480 + 0.961307i \(0.588837\pi\)
\(432\) 24.3858 2.74762i 1.17326 0.132195i
\(433\) 18.3388 14.6247i 0.881309 0.702820i −0.0743704 0.997231i \(-0.523695\pi\)
0.955679 + 0.294411i \(0.0951233\pi\)
\(434\) 0.335396 0.0765520i 0.0160995 0.00367461i
\(435\) 4.36445 + 12.4729i 0.209259 + 0.598028i
\(436\) −0.149954 0.149954i −0.00718151 0.00718151i
\(437\) −11.6576 + 11.6576i −0.557658 + 0.557658i
\(438\) −1.42469 0.686095i −0.0680744 0.0327829i
\(439\) −1.82186 2.89947i −0.0869525 0.138384i 0.800416 0.599445i \(-0.204612\pi\)
−0.887369 + 0.461061i \(0.847469\pi\)
\(440\) 1.53625 + 3.19006i 0.0732380 + 0.152080i
\(441\) −1.42126 + 6.22694i −0.0676790 + 0.296521i
\(442\) −3.54536 + 50.4287i −0.168636 + 2.39865i
\(443\) 12.8393 + 6.18306i 0.610012 + 0.293766i 0.713271 0.700888i \(-0.247213\pi\)
−0.103259 + 0.994654i \(0.532927\pi\)
\(444\) −3.78556 3.01888i −0.179655 0.143270i
\(445\) −2.90824 1.82737i −0.137864 0.0866256i
\(446\) 10.3907 5.00392i 0.492016 0.236943i
\(447\) 9.49326 27.1302i 0.449016 1.28321i
\(448\) 0.0832328 0.738711i 0.00393238 0.0349008i
\(449\) 1.30360 2.07467i 0.0615209 0.0979099i −0.814547 0.580097i \(-0.803015\pi\)
0.876068 + 0.482187i \(0.160157\pi\)
\(450\) −0.469063 0.107060i −0.0221118 0.00504688i
\(451\) 6.04327 4.81934i 0.284566 0.226934i
\(452\) −2.84103 + 25.2148i −0.133631 + 1.18600i
\(453\) 17.1571 10.7805i 0.806110 0.506513i
\(454\) −3.18213 1.99946i −0.149345 0.0938395i
\(455\) −0.984614 1.23467i −0.0461594 0.0578821i
\(456\) −0.795596 + 2.27368i −0.0372572 + 0.106475i
\(457\) 6.39042 + 13.2698i 0.298931 + 0.620737i 0.995288 0.0969584i \(-0.0309114\pi\)
−0.696357 + 0.717695i \(0.745197\pi\)
\(458\) −8.90827 39.0297i −0.416256 1.82374i
\(459\) 15.2848 + 17.5965i 0.713432 + 0.821333i
\(460\) −12.8982 6.21145i −0.601382 0.289610i
\(461\) 26.3127 + 20.9837i 1.22550 + 0.977306i 0.999995 + 0.00306508i \(0.000975645\pi\)
0.225508 + 0.974241i \(0.427596\pi\)
\(462\) 0.768204 + 1.22259i 0.0357401 + 0.0568800i
\(463\) 27.3172 13.1553i 1.26954 0.611376i 0.326856 0.945074i \(-0.394011\pi\)
0.942680 + 0.333698i \(0.108296\pi\)
\(464\) 9.71618 + 15.4632i 0.451062 + 0.717861i
\(465\) −1.58114 4.51863i −0.0733235 0.209547i
\(466\) −22.1447 22.1447i −1.02583 1.02583i
\(467\) 14.2691i 0.660293i −0.943930 0.330147i \(-0.892902\pi\)
0.943930 0.330147i \(-0.107098\pi\)
\(468\) −4.51300 + 9.37134i −0.208613 + 0.433190i
\(469\) 0.620343 0.987270i 0.0286448 0.0455879i
\(470\) −1.73633 + 15.4104i −0.0800911 + 0.710829i
\(471\) −2.05494 18.2381i −0.0946867 0.840368i
\(472\) 4.80359 0.221103
\(473\) −0.186124 + 29.0429i −0.00855799 + 1.33540i
\(474\) 30.0195i 1.37884i
\(475\) 0.762680 0.956370i 0.0349941 0.0438813i
\(476\) 0.761708 0.407078i 0.0349128 0.0186584i
\(477\) 0.126573 + 0.554553i 0.00579538 + 0.0253912i
\(478\) −21.2877 + 44.2044i −0.973678 + 2.02186i
\(479\) 29.2075 29.2075i 1.33452 1.33452i 0.433249 0.901274i \(-0.357367\pi\)
0.901274 0.433249i \(-0.142633\pi\)
\(480\) −24.3133 −1.10975
\(481\) −10.9689 + 3.83819i −0.500140 + 0.175007i
\(482\) 30.9186 19.4275i 1.40830 0.884896i
\(483\) 0.572603 + 0.200363i 0.0260543 + 0.00911681i
\(484\) 15.2202 + 3.47391i 0.691826 + 0.157905i
\(485\) 1.69032 + 1.34799i 0.0767536 + 0.0612090i
\(486\) 5.88648 + 16.8226i 0.267016 + 0.763088i
\(487\) −3.52566 + 0.397247i −0.159763 + 0.0180010i −0.191484 0.981496i \(-0.561330\pi\)
0.0317206 + 0.999497i \(0.489901\pi\)
\(488\) 1.19073 + 0.748187i 0.0539019 + 0.0338688i
\(489\) −5.30050 + 2.55258i −0.239697 + 0.115432i
\(490\) 9.79853 28.0026i 0.442653 1.26503i
\(491\) −21.5699 + 17.2015i −0.973438 + 0.776291i −0.974656 0.223709i \(-0.928184\pi\)
0.00121847 + 0.999999i \(0.499612\pi\)
\(492\) 1.01613 + 4.45194i 0.0458105 + 0.200709i
\(493\) −6.86291 + 15.9299i −0.309090 + 0.717449i
\(494\) −34.6899 43.4998i −1.56077 1.95715i
\(495\) −6.88515 + 5.49072i −0.309464 + 0.246790i
\(496\) −3.51995 5.60196i −0.158050 0.251536i
\(497\) −0.210123 0.920610i −0.00942532 0.0412950i
\(498\) 0.967006 + 0.108955i 0.0433326 + 0.00488241i
\(499\) 11.4951 + 4.02233i 0.514594 + 0.180064i 0.575068 0.818106i \(-0.304976\pi\)
−0.0604744 + 0.998170i \(0.519261\pi\)
\(500\) 19.5992 + 6.85807i 0.876504 + 0.306702i
\(501\) −11.2628 + 2.57066i −0.503185 + 0.114849i
\(502\) 43.2661 + 34.5036i 1.93106 + 1.53997i
\(503\) −1.74975 5.00049i −0.0780174 0.222961i 0.898268 0.439448i \(-0.144826\pi\)
−0.976286 + 0.216487i \(0.930540\pi\)
\(504\) −0.0386049 + 0.00434972i −0.00171960 + 0.000193752i
\(505\) −9.94277 15.8238i −0.442447 0.704151i
\(506\) 28.3048 13.6309i 1.25830 0.605967i
\(507\) −20.3151 32.3313i −0.902225 1.43588i
\(508\) −6.94383 + 14.4190i −0.308083 + 0.639741i
\(509\) 16.3525 0.724812 0.362406 0.932020i \(-0.381955\pi\)
0.362406 + 0.932020i \(0.381955\pi\)
\(510\) −14.3401 20.8261i −0.634990 0.922195i
\(511\) 0.0584178 + 0.0281325i 0.00258425 + 0.00124451i
\(512\) −29.6475 + 6.76685i −1.31025 + 0.299056i
\(513\) −25.4912 2.87217i −1.12546 0.126809i
\(514\) 3.71634 4.66015i 0.163921 0.205550i
\(515\) −17.0029 + 17.0029i −0.749238 + 0.749238i
\(516\) −15.4108 7.54351i −0.678424 0.332084i
\(517\) −11.4378 11.4378i −0.503033 0.503033i
\(518\) 0.326574 + 0.260434i 0.0143489 + 0.0114428i
\(519\) 9.44324 7.53073i 0.414512 0.330562i
\(520\) −2.67100 + 4.25088i −0.117131 + 0.186413i
\(521\) 14.0920 + 40.2727i 0.617383 + 1.76438i 0.644337 + 0.764742i \(0.277134\pi\)
−0.0269538 + 0.999637i \(0.508581\pi\)
\(522\) −5.30934 + 5.30934i −0.232383 + 0.232383i
\(523\) −30.5707 −1.33677 −0.668383 0.743818i \(-0.733013\pi\)
−0.668383 + 0.743818i \(0.733013\pi\)
\(524\) 9.45827 3.30959i 0.413186 0.144580i
\(525\) −0.0438830 0.0100160i −0.00191521 0.000437135i
\(526\) −33.5335 + 16.1489i −1.46213 + 0.704126i
\(527\) 2.48627 5.77105i 0.108304 0.251391i
\(528\) 17.3133 21.7102i 0.753466 0.944816i
\(529\) −4.25241 + 8.83022i −0.184887 + 0.383922i
\(530\) −0.295821 2.62548i −0.0128496 0.114044i
\(531\) 2.65856 + 11.6479i 0.115372 + 0.505477i
\(532\) −0.313943 + 0.897197i −0.0136111 + 0.0388984i
\(533\) 10.3448 + 3.61982i 0.448085 + 0.156792i
\(534\) −0.498560 + 4.42484i −0.0215748 + 0.191482i
\(535\) 26.7685 6.10973i 1.15730 0.264147i
\(536\) −3.61382 0.824830i −0.156093 0.0356272i
\(537\) 1.87155 16.6105i 0.0807635 0.716796i
\(538\) −1.59028 + 14.1141i −0.0685617 + 0.608501i
\(539\) 16.4635 + 26.2014i 0.709131 + 1.12858i
\(540\) −4.95674 21.7169i −0.213304 0.934546i
\(541\) 29.6137 + 3.33666i 1.27319 + 0.143454i 0.722568 0.691300i \(-0.242962\pi\)
0.550623 + 0.834754i \(0.314390\pi\)
\(542\) 9.05286 + 18.7985i 0.388854 + 0.807463i
\(543\) −4.70352 + 2.26510i −0.201848 + 0.0972046i
\(544\) −23.4944 21.5989i −1.00732 0.926046i
\(545\) 0.158730 0.199041i 0.00679924 0.00852598i
\(546\) −0.888298 + 1.84457i −0.0380157 + 0.0789403i
\(547\) 0.867614 + 7.70029i 0.0370965 + 0.329241i 0.998530 + 0.0542029i \(0.0172618\pi\)
−0.961433 + 0.275038i \(0.911310\pi\)
\(548\) −5.27740 + 23.1218i −0.225439 + 0.987714i
\(549\) −1.15522 + 3.30142i −0.0493035 + 0.140901i
\(550\) −1.97370 + 1.24016i −0.0841589 + 0.0528805i
\(551\) −6.30508 18.0189i −0.268606 0.767631i
\(552\) 1.92857i 0.0820854i
\(553\) 1.23092i 0.0523438i
\(554\) −10.1262 28.9389i −0.430219 1.22950i
\(555\) 3.09250 4.92169i 0.131269 0.208914i
\(556\) 27.3730 + 3.08420i 1.16088 + 0.130799i
\(557\) −5.12712 + 6.42920i −0.217243 + 0.272414i −0.878497 0.477748i \(-0.841453\pi\)
0.661254 + 0.750162i \(0.270025\pi\)
\(558\) 1.92345 1.92345i 0.0814262 0.0814262i
\(559\) −35.0086 + 21.6857i −1.48071 + 0.917207i
\(560\) 1.09162 0.0461294
\(561\) 26.3092 + 1.84965i 1.11077 + 0.0780924i
\(562\) 21.1397 + 26.5083i 0.891723 + 1.11818i
\(563\) 14.6012 3.33262i 0.615365 0.140453i 0.0965338 0.995330i \(-0.469224\pi\)
0.518831 + 0.854877i \(0.326367\pi\)
\(564\) 9.01971 3.15613i 0.379798 0.132897i
\(565\) −30.4614 −1.28152
\(566\) −43.5602 + 43.5602i −1.83097 + 1.83097i
\(567\) 0.207034 + 0.591668i 0.00869460 + 0.0248477i
\(568\) −2.54182 + 1.59713i −0.106652 + 0.0670142i
\(569\) 6.13430 + 12.7380i 0.257163 + 0.534005i 0.989078 0.147391i \(-0.0470875\pi\)
−0.731915 + 0.681396i \(0.761373\pi\)
\(570\) 27.1314 + 6.19257i 1.13641 + 0.259378i
\(571\) 38.6261 4.35212i 1.61645 0.182130i 0.743086 0.669196i \(-0.233361\pi\)
0.873365 + 0.487065i \(0.161933\pi\)
\(572\) 16.6439 + 47.5654i 0.695915 + 1.98881i
\(573\) −0.282833 2.51021i −0.0118155 0.104866i
\(574\) −0.0876596 0.384062i −0.00365884 0.0160304i
\(575\) −0.323458 + 0.924389i −0.0134891 + 0.0385497i
\(576\) −2.55034 5.29583i −0.106264 0.220660i
\(577\) −26.1148 32.7469i −1.08717 1.36327i −0.926513 0.376262i \(-0.877209\pi\)
−0.160660 0.987010i \(-0.551362\pi\)
\(578\) 4.64390 32.8638i 0.193161 1.36695i
\(579\) −4.31632 + 18.9110i −0.179380 + 0.785916i
\(580\) 12.9604 10.3356i 0.538152 0.429162i
\(581\) −0.0396509 0.00446759i −0.00164500 0.000185347i
\(582\) 0.623701 2.73261i 0.0258532 0.113270i
\(583\) 2.33342 + 1.46619i 0.0966405 + 0.0607233i
\(584\) 0.0230789 0.204831i 0.000955012 0.00847597i
\(585\) −11.7860 4.12409i −0.487290 0.170510i
\(586\) −16.3274 33.9041i −0.674477 1.40057i
\(587\) 38.5528 8.79942i 1.59124 0.363191i 0.667019 0.745041i \(-0.267570\pi\)
0.924225 + 0.381850i \(0.124713\pi\)
\(588\) −18.1661 + 2.04683i −0.749158 + 0.0844098i
\(589\) 2.28419 + 6.52783i 0.0941183 + 0.268975i
\(590\) −6.21347 55.1461i −0.255805 2.27033i
\(591\) 4.27749 18.7409i 0.175952 0.770897i
\(592\) 2.65315 7.58228i 0.109044 0.311630i
\(593\) −45.1002 10.2938i −1.85204 0.422716i −0.856427 0.516268i \(-0.827321\pi\)
−0.995614 + 0.0935517i \(0.970178\pi\)
\(594\) 44.0419 + 21.2095i 1.80706 + 0.870234i
\(595\) 0.587999 + 0.853950i 0.0241056 + 0.0350085i
\(596\) −36.0572 −1.47696
\(597\) 9.91391 20.5864i 0.405749 0.842547i
\(598\) 37.7172 + 23.6993i 1.54237 + 0.969136i
\(599\) −26.5057 33.2370i −1.08299 1.35803i −0.929052 0.369949i \(-0.879375\pi\)
−0.153940 0.988080i \(-0.549196\pi\)
\(600\) 0.0160215 + 0.142195i 0.000654077 + 0.00580509i
\(601\) 22.2900 + 22.2900i 0.909230 + 0.909230i 0.996210 0.0869804i \(-0.0277217\pi\)
−0.0869804 + 0.996210i \(0.527722\pi\)
\(602\) 1.32947 + 0.650767i 0.0541851 + 0.0265233i
\(603\) 9.21944i 0.375445i
\(604\) −19.8734 15.8485i −0.808637 0.644867i
\(605\) −2.09837 + 18.6236i −0.0853110 + 0.757156i
\(606\) −12.8901 + 20.5145i −0.523624 + 0.833343i
\(607\) −26.9751 + 9.43899i −1.09489 + 0.383117i −0.816496 0.577351i \(-0.804086\pi\)
−0.278389 + 0.960468i \(0.589801\pi\)
\(608\) 35.1242 1.42447
\(609\) −0.496714 + 0.496714i −0.0201279 + 0.0201279i
\(610\) 7.04911 14.6376i 0.285410 0.592660i
\(611\) 5.10357 22.3602i 0.206468 0.904597i
\(612\) 3.38717 5.92973i 0.136918 0.239695i
\(613\) 5.70807 25.0087i 0.230547 1.01009i −0.718641 0.695381i \(-0.755236\pi\)
0.949188 0.314710i \(-0.101907\pi\)
\(614\) −39.6646 31.6314i −1.60073 1.27654i
\(615\) −5.17428 + 1.81056i −0.208647 + 0.0730088i
\(616\) −0.117352 + 0.147155i −0.00472826 + 0.00592905i
\(617\) 35.3275 + 22.1978i 1.42223 + 0.893648i 0.999918 0.0128016i \(-0.00407500\pi\)
0.422314 + 0.906449i \(0.361218\pi\)
\(618\) 29.4243 + 10.2960i 1.18362 + 0.414166i
\(619\) 11.6015 + 4.05954i 0.466303 + 0.163167i 0.553196 0.833051i \(-0.313408\pi\)
−0.0868928 + 0.996218i \(0.527694\pi\)
\(620\) −4.69526 + 3.74434i −0.188566 + 0.150376i
\(621\) 20.0228 4.57008i 0.803489 0.183391i
\(622\) −29.2896 + 18.4039i −1.17440 + 0.737927i
\(623\) 0.0204429 0.181436i 0.000819026 0.00726906i
\(624\) 39.1254 + 4.40837i 1.56627 + 0.176476i
\(625\) −5.24694 + 22.9883i −0.209877 + 0.919533i
\(626\) −44.5060 27.9650i −1.77882 1.11771i
\(627\) −22.6943 + 18.0981i −0.906323 + 0.722768i
\(628\) −20.7437 + 9.98965i −0.827765 + 0.398630i
\(629\) 7.36055 2.00867i 0.293484 0.0800911i
\(630\) 0.0998714 + 0.437565i 0.00397897 + 0.0174330i
\(631\) −5.08846 4.05791i −0.202569 0.161543i 0.516952 0.856015i \(-0.327067\pi\)
−0.719520 + 0.694472i \(0.755638\pi\)
\(632\) 3.69357 1.29244i 0.146922 0.0514103i
\(633\) −18.7769 + 23.5454i −0.746313 + 0.935847i
\(634\) 31.8378 + 50.6696i 1.26444 + 2.01235i
\(635\) −18.1342 6.34545i −0.719635 0.251811i
\(636\) −1.37852 + 0.866178i −0.0546617 + 0.0343462i
\(637\) −19.0372 + 39.5312i −0.754282 + 1.56628i
\(638\) 36.3778i 1.44021i
\(639\) −5.27957 5.27957i −0.208857 0.208857i
\(640\) −2.10289 6.00972i −0.0831241 0.237555i
\(641\) 3.02169 + 1.89865i 0.119350 + 0.0749923i 0.590384 0.807123i \(-0.298976\pi\)
−0.471034 + 0.882115i \(0.656119\pi\)
\(642\) −22.1937 27.8300i −0.875915 1.09836i
\(643\) 5.08608 + 45.1402i 0.200575 + 1.78016i 0.542131 + 0.840294i \(0.317618\pi\)
−0.341556 + 0.939862i \(0.610954\pi\)
\(644\) 0.761015i 0.0299882i
\(645\) 6.92750 19.3980i 0.272770 0.763796i
\(646\) 20.7164 + 30.0864i 0.815075 + 1.18373i
\(647\) 11.6144 14.5639i 0.456608 0.572568i −0.499228 0.866471i \(-0.666383\pi\)
0.955835 + 0.293903i \(0.0949543\pi\)
\(648\) 1.55802 1.24248i 0.0612048 0.0488092i
\(649\) 49.0117 + 30.7961i 1.92388 + 1.20885i
\(650\) −2.97780 1.43404i −0.116799 0.0562475i
\(651\) 0.179948 0.179948i 0.00705272 0.00705272i
\(652\) 5.21854 + 5.21854i 0.204374 + 0.204374i
\(653\) −7.90163 22.5816i −0.309215 0.883685i −0.988688 0.149985i \(-0.952078\pi\)
0.679474 0.733700i \(-0.262208\pi\)
\(654\) −0.321774 0.0734427i −0.0125823 0.00287184i
\(655\) 5.21941 + 10.8382i 0.203939 + 0.423484i
\(656\) −6.41480 + 4.03069i −0.250456 + 0.157372i
\(657\) 0.509456 0.0574019i 0.0198758 0.00223946i
\(658\) −0.778117 + 0.272275i −0.0303341 + 0.0106144i
\(659\) −19.7484 + 24.7637i −0.769288 + 0.964657i −0.999965 0.00837368i \(-0.997335\pi\)
0.230677 + 0.973030i \(0.425906\pi\)
\(660\) −21.3423 13.4103i −0.830748 0.521993i
\(661\) −5.46137 11.3407i −0.212423 0.441100i 0.767346 0.641233i \(-0.221577\pi\)
−0.979769 + 0.200133i \(0.935863\pi\)
\(662\) −3.41310 + 1.64366i −0.132654 + 0.0638828i
\(663\) 17.6262 + 32.9814i 0.684545 + 1.28089i
\(664\) 0.0282269 + 0.123670i 0.00109542 + 0.00479933i
\(665\) −1.11249 0.253919i −0.0431406 0.00984656i
\(666\) 3.28201 + 0.369794i 0.127175 + 0.0143292i
\(667\) 9.52934 + 11.9494i 0.368978 + 0.462683i
\(668\) 7.71027 + 12.2708i 0.298319 + 0.474773i
\(669\) 4.53891 7.22363i 0.175484 0.279282i
\(670\) −4.79471 + 42.5543i −0.185236 + 1.64401i
\(671\) 7.35254 + 15.2677i 0.283842 + 0.589403i
\(672\) −0.560778 1.16447i −0.0216325 0.0449203i
\(673\) −3.29304 + 5.24085i −0.126937 + 0.202020i −0.904146 0.427223i \(-0.859492\pi\)
0.777209 + 0.629243i \(0.216635\pi\)
\(674\) −11.3530 + 1.27918i −0.437302 + 0.0492721i
\(675\) −1.43834 + 0.503295i −0.0553616 + 0.0193718i
\(676\) −29.8654 + 37.4500i −1.14867 + 1.44038i
\(677\) −4.58333 7.29432i −0.176152 0.280344i 0.746965 0.664863i \(-0.231510\pi\)
−0.923117 + 0.384519i \(0.874367\pi\)
\(678\) 17.1345 + 35.5802i 0.658048 + 1.36645i
\(679\) −0.0255741 + 0.112048i −0.000981444 + 0.00429999i
\(680\) 1.94503 2.66102i 0.0745886 0.102045i
\(681\) −2.78005 −0.106532
\(682\) 13.1788i 0.504644i
\(683\) 12.1664 4.25720i 0.465533 0.162897i −0.0873122 0.996181i \(-0.527828\pi\)
0.552845 + 0.833284i \(0.313542\pi\)
\(684\) 1.67244 + 7.32744i 0.0639474 + 0.280172i
\(685\) −28.2921 3.18775i −1.08098 0.121798i
\(686\) 3.13732 0.353491i 0.119784 0.0134964i
\(687\) −20.9404 20.9404i −0.798924 0.798924i
\(688\) 3.36844 28.2664i 0.128420 1.07765i
\(689\) 3.90750i 0.148864i
\(690\) −22.1403 + 2.49462i −0.842869 + 0.0949685i
\(691\) 5.09973 45.2614i 0.194003 1.72182i −0.399279 0.916830i \(-0.630739\pi\)
0.593282 0.804995i \(-0.297832\pi\)
\(692\) −12.8294 8.06126i −0.487702 0.306443i
\(693\) −0.421777 0.203117i −0.0160220 0.00771578i
\(694\) 0.720365 0.720365i 0.0273447 0.0273447i
\(695\) 33.0687i 1.25437i
\(696\) 2.01201 + 0.968935i 0.0762652 + 0.0367274i
\(697\) −6.60842 2.84703i −0.250312 0.107839i
\(698\) 22.2284 10.7046i 0.841357 0.405176i
\(699\) −22.5857 5.15504i −0.854269 0.194981i
\(700\) 0.00632211 + 0.0561103i 0.000238953 + 0.00212077i
\(701\) −12.7333 6.13202i −0.480929 0.231603i 0.177680 0.984088i \(-0.443141\pi\)
−0.658609 + 0.752485i \(0.728855\pi\)
\(702\) 7.76039 + 68.8753i 0.292897 + 2.59953i
\(703\) −4.46757 + 7.11010i −0.168498 + 0.268163i
\(704\) −26.8797 9.40560i −1.01307 0.354487i
\(705\) 4.97740 + 10.3357i 0.187460 + 0.389264i
\(706\) −17.2414 + 13.7496i −0.648890 + 0.517473i
\(707\) 0.528543 0.841172i 0.0198779 0.0316355i
\(708\) −28.9546 + 18.1934i −1.08818 + 0.683749i
\(709\) 45.0694 + 5.07810i 1.69262 + 0.190712i 0.904988 0.425438i \(-0.139880\pi\)
0.787629 + 0.616150i \(0.211309\pi\)
\(710\) 21.6232 + 27.1147i 0.811506 + 1.01760i
\(711\) 5.17817 + 8.24101i 0.194197 + 0.309062i
\(712\) −0.565892 + 0.129161i −0.0212077 + 0.00484052i
\(713\) −3.45226 4.32900i −0.129288 0.162122i
\(714\) 0.666701 1.16715i 0.0249506 0.0436797i
\(715\) −54.5052 + 26.2483i −2.03838 + 0.981632i
\(716\) −20.4433 + 4.66606i −0.764004 + 0.174379i
\(717\) 4.06362 + 36.0656i 0.151759 + 1.34689i
\(718\) 20.8067 + 10.0200i 0.776500 + 0.373943i
\(719\) −3.35167 29.7469i −0.124996 1.10937i −0.886991 0.461787i \(-0.847208\pi\)
0.761995 0.647583i \(-0.224220\pi\)
\(720\) 7.30844 4.59220i 0.272369 0.171141i
\(721\) −1.20651 0.422175i −0.0449327 0.0157226i
\(722\) −3.03041 0.691672i −0.112780 0.0257414i
\(723\) 11.7200 24.3368i 0.435872 0.905097i
\(724\) 4.63080 + 4.63080i 0.172102 + 0.172102i
\(725\) −0.801876 0.801876i −0.0297809 0.0297809i
\(726\) 22.9335 8.02476i 0.851140 0.297827i
\(727\) 1.46406 + 6.41445i 0.0542988 + 0.237899i 0.994794 0.101909i \(-0.0324951\pi\)
−0.940495 + 0.339808i \(0.889638\pi\)
\(728\) −0.265198 0.0298806i −0.00982889 0.00110745i
\(729\) 23.0243 + 18.3613i 0.852754 + 0.680048i
\(730\) −2.38135 −0.0881378
\(731\) 23.9265 12.5906i 0.884954 0.465679i
\(732\) −10.0111 −0.370021
\(733\) −8.06986 6.43550i −0.298067 0.237701i 0.463024 0.886346i \(-0.346764\pi\)
−0.761091 + 0.648645i \(0.775336\pi\)
\(734\) −10.0286 1.12995i −0.370163 0.0417074i
\(735\) −4.88346 21.3958i −0.180129 0.789197i
\(736\) −26.5429 + 9.28776i −0.978384 + 0.342351i
\(737\) −31.5843 31.5843i −1.16342 1.16342i
\(738\) −2.20254 2.20254i −0.0810767 0.0810767i
\(739\) 4.78290 9.93179i 0.175942 0.365347i −0.794285 0.607545i \(-0.792154\pi\)
0.970227 + 0.242199i \(0.0778686\pi\)
\(740\) −7.10890 1.62256i −0.261328 0.0596465i
\(741\) −38.8480 13.5935i −1.42712 0.499370i
\(742\) 0.118922 0.0747239i 0.00436578 0.00274320i
\(743\) −4.39577 39.0135i −0.161265 1.43127i −0.770077 0.637952i \(-0.779782\pi\)
0.608812 0.793315i \(-0.291647\pi\)
\(744\) −0.728906 0.351023i −0.0267230 0.0128691i
\(745\) −4.84649 43.0138i −0.177562 1.57590i
\(746\) 51.3012 11.7092i 1.87827 0.428703i
\(747\) −0.284258 + 0.136892i −0.0104005 + 0.00500860i
\(748\) −8.71037 31.9181i −0.318483 1.16704i
\(749\) 0.910027 + 1.14114i 0.0332516 + 0.0416962i
\(750\) 31.5063 7.19110i 1.15045 0.262582i
\(751\) −13.7110 21.8210i −0.500322 0.796258i 0.497124 0.867679i \(-0.334389\pi\)
−0.997446 + 0.0714213i \(0.977247\pi\)
\(752\) 9.88481 + 12.3952i 0.360462 + 0.452005i
\(753\) 40.6792 + 4.58344i 1.48243 + 0.167030i
\(754\) −43.6743 + 27.4424i −1.59052 + 0.999392i
\(755\) 16.2350 25.8378i 0.590852 0.940335i
\(756\) 0.925788 0.738291i 0.0336706 0.0268514i
\(757\) 0.747714 + 1.55264i 0.0271761 + 0.0564318i 0.914115 0.405455i \(-0.132887\pi\)
−0.886939 + 0.461887i \(0.847173\pi\)
\(758\) −37.1994 13.0166i −1.35114 0.472785i
\(759\) 12.3642 19.6775i 0.448791 0.714246i
\(760\) 0.406167 + 3.60483i 0.0147332 + 0.130761i
\(761\) −3.88432 1.87059i −0.140806 0.0678088i 0.362154 0.932118i \(-0.382042\pi\)
−0.502960 + 0.864310i \(0.667756\pi\)
\(762\) 2.78875 + 24.7509i 0.101026 + 0.896630i
\(763\) 0.0131940 + 0.00301143i 0.000477653 + 0.000109021i
\(764\) −2.85508 + 1.37493i −0.103293 + 0.0497433i
\(765\) 7.52904 + 3.24364i 0.272213 + 0.117274i
\(766\) 48.3367 + 23.2777i 1.74648 + 0.841059i
\(767\) 82.0738i 2.96351i
\(768\) −18.9691 + 18.9691i −0.684488 + 0.684488i
\(769\) −42.0846 20.2669i −1.51761 0.730842i −0.524876 0.851178i \(-0.675888\pi\)
−0.992733 + 0.120336i \(0.961603\pi\)
\(770\) 1.84117 + 1.15688i 0.0663511 + 0.0416911i
\(771\) 0.493677 4.38150i 0.0177793 0.157796i
\(772\) 24.1803 2.72446i 0.870267 0.0980556i
\(773\) 41.9450i 1.50866i −0.656498 0.754328i \(-0.727963\pi\)
0.656498 0.754328i \(-0.272037\pi\)
\(774\) 11.6384 1.23586i 0.418335 0.0444221i
\(775\) 0.290501 + 0.290501i 0.0104351 + 0.0104351i
\(776\) 0.363070 0.0409081i 0.0130334 0.00146852i
\(777\) 0.307048 + 0.0345960i 0.0110153 + 0.00124112i
\(778\) 15.6463 + 68.5509i 0.560947 + 2.45767i
\(779\) 7.47501 2.61562i 0.267820 0.0937143i
\(780\) 35.7393i 1.27967i
\(781\) −36.1739 −1.29440
\(782\) −23.6107 17.2579i −0.844318 0.617142i
\(783\) −5.29188 + 23.1852i −0.189116 + 0.828573i
\(784\) −13.1595 27.3260i −0.469982 0.975927i
\(785\) −14.7052 23.4031i −0.524850 0.835294i
\(786\) 9.72359 12.1930i 0.346829 0.434910i
\(787\) 5.82062 2.03672i 0.207483 0.0726014i −0.224537 0.974466i \(-0.572087\pi\)
0.432020 + 0.901864i \(0.357801\pi\)
\(788\) −23.9627 + 2.69995i −0.853636 + 0.0961817i
\(789\) −14.6482 + 23.3125i −0.521489 + 0.829945i
\(790\) −19.6151 40.7311i −0.697873 1.44915i
\(791\) −0.702581 1.45892i −0.0249809 0.0518734i
\(792\) −0.166630 + 1.47888i −0.00592094 + 0.0525498i
\(793\) −12.7835 + 20.3448i −0.453955 + 0.722464i
\(794\) 29.8753 + 47.5462i 1.06023 + 1.68735i
\(795\) −1.21858 1.52805i −0.0432186 0.0541944i
\(796\) −28.4833 3.20929i −1.00956 0.113750i
\(797\) 23.4175 + 5.34490i 0.829492 + 0.189326i 0.616127 0.787646i \(-0.288701\pi\)
0.213365 + 0.976973i \(0.431558\pi\)
\(798\) 0.329188 + 1.44227i 0.0116531 + 0.0510557i
\(799\) −4.37201 + 14.4093i −0.154671 + 0.509763i
\(800\) 1.87987 0.905299i 0.0664636 0.0320072i
\(801\) −0.626391 1.30071i −0.0221324 0.0459585i
\(802\) 53.8067 + 33.8090i 1.89998 + 1.19384i
\(803\) 1.54866 1.94196i 0.0546510 0.0685302i
\(804\) 24.9070 8.71535i 0.878403 0.307367i
\(805\) 0.907839 0.102289i 0.0319971 0.00360521i
\(806\) 15.8222 9.94173i 0.557312 0.350183i
\(807\) 4.55871 + 9.46626i 0.160474 + 0.333228i
\(808\) −3.07904 0.702770i −0.108320 0.0247234i
\(809\) 14.2975 + 40.8600i 0.502675 + 1.43656i 0.863700 + 0.504006i \(0.168141\pi\)
−0.361025 + 0.932556i \(0.617573\pi\)
\(810\) −16.2792 16.2792i −0.571993 0.571993i
\(811\) 16.2598 16.2598i 0.570959 0.570959i −0.361438 0.932396i \(-0.617714\pi\)
0.932396 + 0.361438i \(0.117714\pi\)
\(812\) 0.793942 + 0.382342i 0.0278619 + 0.0134176i
\(813\) 13.0687 + 8.21158i 0.458338 + 0.287993i
\(814\) 12.5105 9.97677i 0.438492 0.349685i
\(815\) −5.52394 + 6.92680i −0.193495 + 0.242635i
\(816\) −25.4212 4.68865i −0.889920 0.164136i
\(817\) −10.0078 + 28.0233i −0.350129 + 0.980410i
\(818\) 0.619443i 0.0216583i
\(819\) −0.0743191 0.659600i −0.00259692 0.0230483i
\(820\) 4.28764 + 5.37654i 0.149731 + 0.187757i
\(821\) −13.7438 8.63580i −0.479662 0.301391i 0.270413 0.962744i \(-0.412840\pi\)
−0.750075 + 0.661353i \(0.769983\pi\)
\(822\) 12.1908 + 34.8394i 0.425205 + 1.21516i
\(823\) 2.80329 + 2.80329i 0.0977166 + 0.0977166i 0.754275 0.656558i \(-0.227988\pi\)
−0.656558 + 0.754275i \(0.727988\pi\)
\(824\) 4.06360i 0.141562i
\(825\) −0.748151 + 1.55355i −0.0260473 + 0.0540877i
\(826\) 2.49787 1.56951i 0.0869119 0.0546104i
\(827\) 7.79927 + 2.72908i 0.271207 + 0.0948995i 0.462456 0.886642i \(-0.346968\pi\)
−0.191249 + 0.981542i \(0.561254\pi\)
\(828\) −3.20141 5.09501i −0.111257 0.177064i
\(829\) 11.3099 14.1822i 0.392811 0.492569i −0.545622 0.838031i \(-0.683707\pi\)
0.938433 + 0.345463i \(0.112278\pi\)
\(830\) 1.38325 0.484019i 0.0480132 0.0168005i
\(831\) −17.7318 14.1407i −0.615110 0.490534i
\(832\) −8.98511 39.3663i −0.311503 1.36478i
\(833\) 14.2881 25.0134i 0.495054 0.866663i
\(834\) 38.6257 18.6011i 1.33750 0.644105i
\(835\) −13.6019 + 10.8472i −0.470714 + 0.375382i
\(836\) 30.8321 + 19.3731i 1.06635 + 0.670032i
\(837\) 1.91713 8.39947i 0.0662655 0.290328i
\(838\) −47.4037 5.34112i −1.63754 0.184506i
\(839\) −2.10382 + 18.6719i −0.0726318 + 0.644625i 0.903673 + 0.428224i \(0.140860\pi\)
−0.976305 + 0.216401i \(0.930568\pi\)
\(840\) 0.113026 0.0710188i 0.00389976 0.00245038i
\(841\) 11.0188 2.51498i 0.379960 0.0867233i
\(842\) −20.6260 + 16.4487i −0.710820 + 0.566860i
\(843\) 23.6735 + 8.28373i 0.815360 + 0.285307i
\(844\) 35.6590 + 12.4776i 1.22743 + 0.429498i
\(845\) −48.6895 30.5937i −1.67497 1.05245i
\(846\) −4.06412 + 5.09624i −0.139727 + 0.175212i
\(847\) −0.940359 + 0.329046i −0.0323111 + 0.0113062i
\(848\) −2.11177 1.68408i −0.0725186 0.0578316i
\(849\) −10.1403 + 44.4277i −0.348015 + 1.52475i
\(850\) 1.88421 + 1.07630i 0.0646279 + 0.0369166i
\(851\) 1.49599 6.55435i 0.0512818 0.224680i
\(852\) 9.27227 19.2541i 0.317663 0.659634i
\(853\) −5.98983 + 5.98983i −0.205088 + 0.205088i −0.802176 0.597088i \(-0.796324\pi\)
0.597088 + 0.802176i \(0.296324\pi\)
\(854\) 0.863643 0.0295532
\(855\) −8.51635 + 2.98000i −0.291253 + 0.101914i
\(856\) 2.46867 3.92886i 0.0843773 0.134286i
\(857\) 6.39103 56.7219i 0.218313 1.93758i −0.111991 0.993709i \(-0.535723\pi\)
0.330304 0.943875i \(-0.392849\pi\)
\(858\) 61.3183 + 48.8997i 2.09337 + 1.66941i
\(859\) 22.7429i 0.775978i −0.921664 0.387989i \(-0.873170\pi\)
0.921664 0.387989i \(-0.126830\pi\)
\(860\) −25.8387 0.165590i −0.881094 0.00564656i
\(861\) −0.206058 0.206058i −0.00702245 0.00702245i
\(862\) −4.40159 39.0652i −0.149919 1.33057i
\(863\) −15.0112 18.8234i −0.510987 0.640757i 0.457681 0.889116i \(-0.348680\pi\)
−0.968668 + 0.248359i \(0.920109\pi\)
\(864\) −37.0491 23.2795i −1.26044 0.791984i
\(865\) 7.89212 16.3882i 0.268340 0.557214i
\(866\) −45.7952 −1.55619
\(867\) −10.0252 22.4119i −0.340475 0.761149i
\(868\) −0.287627 0.138514i −0.00976269 0.00470146i
\(869\) 45.9719 + 10.4928i 1.55949 + 0.355943i
\(870\) 8.52100 24.3516i 0.288889 0.825597i
\(871\) 14.0930 61.7455i 0.477523 2.09217i
\(872\) −0.00481706 0.0427526i −0.000163126 0.00144779i
\(873\) 0.300138 + 0.857745i 0.0101581 + 0.0290303i
\(874\) 31.9850 3.60384i 1.08191 0.121902i
\(875\) −1.29188 + 0.294863i −0.0436735 + 0.00996818i
\(876\) 0.636676 + 1.32207i 0.0215113 + 0.0446686i
\(877\) 47.2377 + 16.5292i 1.59510 + 0.558151i 0.974190 0.225729i \(-0.0724764\pi\)
0.620913 + 0.783880i \(0.286762\pi\)
\(878\) −0.748545 + 6.64352i −0.0252622 + 0.224208i
\(879\) −23.5701 14.8101i −0.794999 0.499531i
\(880\) 9.30539 40.7696i 0.313685 1.37434i
\(881\) 20.3072 + 2.28807i 0.684167 + 0.0770871i 0.447205 0.894432i \(-0.352420\pi\)
0.236963 + 0.971519i \(0.423848\pi\)
\(882\) 9.74938 7.77487i 0.328279 0.261793i
\(883\) 2.65294 11.6233i 0.0892785 0.391155i −0.910470 0.413575i \(-0.864280\pi\)
0.999749 + 0.0224202i \(0.00713717\pi\)
\(884\) 31.7492 34.5355i 1.06784 1.16156i
\(885\) −25.5953 32.0955i −0.860376 1.07888i
\(886\) −12.0716 25.0670i −0.405554 0.842141i
\(887\) −8.53557 + 24.3933i −0.286597 + 0.819046i 0.707117 + 0.707096i \(0.249995\pi\)
−0.993714 + 0.111950i \(0.964290\pi\)
\(888\) −0.218583 0.957674i −0.00733516 0.0321374i
\(889\) −0.114350 1.01488i −0.00383516 0.0340380i
\(890\) 2.21478 + 6.32948i 0.0742397 + 0.212165i
\(891\) 23.8623 2.68864i 0.799417 0.0900727i
\(892\) −10.4338 2.38145i −0.349350 0.0797369i
\(893\) −7.19059 14.9314i −0.240624 0.499661i
\(894\) −47.5158 + 29.8561i −1.58917 + 0.998539i
\(895\) −8.31411 23.7603i −0.277910 0.794221i
\(896\) 0.239328 0.239328i 0.00799540 0.00799540i
\(897\) 32.9514 1.10022
\(898\) −4.51531 + 1.57998i −0.150678 + 0.0527245i
\(899\) 6.25076 1.42669i 0.208474 0.0475829i
\(900\) 0.278369 + 0.349064i 0.00927898 + 0.0116355i
\(901\) 0.179917 2.55912i 0.00599392 0.0852565i
\(902\) −15.0911 −0.502478
\(903\) 1.08883 0.115621i 0.0362341 0.00384761i
\(904\) −3.64005 + 3.64005i −0.121066 + 0.121066i
\(905\) −4.90180 + 6.14666i −0.162941 + 0.204322i
\(906\) −39.3119 4.42938i −1.30605 0.147156i
\(907\) −15.4983 + 24.6654i −0.514612 + 0.819001i −0.998421 0.0561729i \(-0.982110\pi\)
0.483809 + 0.875174i \(0.339253\pi\)
\(908\) 1.15184 + 3.29176i 0.0382250 + 0.109241i
\(909\) 7.85512i 0.260538i
\(910\) 3.08318i 0.102206i
\(911\) 10.8274 + 30.9428i 0.358727 + 1.02518i 0.971933 + 0.235259i \(0.0755938\pi\)
−0.613206 + 0.789923i \(0.710120\pi\)
\(912\) 24.0895 15.1364i 0.797683 0.501218i
\(913\) −0.504853 + 1.44279i −0.0167082 + 0.0477493i
\(914\) 6.39865 28.0343i 0.211648 0.927293i
\(915\) −1.34560 11.9426i −0.0444843 0.394809i
\(916\) −16.1187 + 33.4708i −0.532577 + 1.10591i
\(917\) −0.398704 + 0.499959i −0.0131664 + 0.0165101i
\(918\) −1.91116 45.4655i −0.0630777 1.50058i
\(919\) −42.1059 + 20.2771i −1.38895 + 0.668881i −0.970887 0.239539i \(-0.923004\pi\)
−0.418059 + 0.908420i \(0.637289\pi\)
\(920\) −1.26015 2.61672i −0.0415458 0.0862708i
\(921\) −37.2929 4.20190i −1.22884 0.138457i
\(922\) −14.6212 64.0598i −0.481525 2.10970i
\(923\) −27.2885 43.4294i −0.898212 1.42950i
\(924\) 0.150021 1.33148i 0.00493534 0.0438023i
\(925\) −0.0558504 + 0.495686i −0.00183635 + 0.0162981i
\(926\) −57.7112 13.1722i −1.89651 0.432865i
\(927\) −9.85359 + 2.24902i −0.323634 + 0.0738674i
\(928\) 3.64583 32.3576i 0.119680 1.06219i
\(929\) −16.0568 5.61851i −0.526806 0.184337i 0.0537553 0.998554i \(-0.482881\pi\)
−0.580561 + 0.814217i \(0.697167\pi\)
\(930\) −3.08696 + 8.82203i −0.101225 + 0.289286i
\(931\) 7.05487 + 30.9094i 0.231214 + 1.01301i
\(932\) 3.25386 + 28.8788i 0.106584 + 0.945956i
\(933\) −11.1025 + 23.0546i −0.363479 + 0.754773i
\(934\) −17.3695 + 21.7806i −0.568346 + 0.712683i
\(935\) 36.9054 14.6810i 1.20694 0.480121i
\(936\) −1.90121 + 0.915574i −0.0621430 + 0.0299265i
\(937\) 2.93687 + 0.670321i 0.0959433 + 0.0218984i 0.270223 0.962798i \(-0.412903\pi\)
−0.174280 + 0.984696i \(0.555760\pi\)
\(938\) −2.14869 + 0.751859i −0.0701572 + 0.0245491i
\(939\) −38.8824 −1.26888
\(940\) 10.1759 10.1759i 0.331901 0.331901i
\(941\) −16.8517 48.1593i −0.549348 1.56995i −0.798823 0.601566i \(-0.794544\pi\)
0.249475 0.968381i \(-0.419742\pi\)
\(942\) −19.0642 + 30.3405i −0.621145 + 0.988547i
\(943\) −4.95713 + 3.95318i −0.161426 + 0.128733i
\(944\) −44.3561 35.3728i −1.44367 1.15129i
\(945\) 1.00517 + 1.00517i 0.0326981 + 0.0326981i
\(946\) 35.6375 44.1052i 1.15868 1.43398i
\(947\) 18.4626 18.4626i 0.599954 0.599954i −0.340346 0.940300i \(-0.610544\pi\)
0.940300 + 0.340346i \(0.110544\pi\)
\(948\) −17.3687 + 21.7796i −0.564109 + 0.707370i
\(949\) 3.49973 + 0.394325i 0.113606 + 0.0128003i
\(950\) −2.32834 + 0.531429i −0.0755414 + 0.0172418i
\(951\) 39.8834 + 19.2068i 1.29331 + 0.622824i
\(952\) 0.172309 + 0.0317804i 0.00558457 + 0.00103001i
\(953\) 51.9028 1.68130 0.840648 0.541582i \(-0.182175\pi\)
0.840648 + 0.541582i \(0.182175\pi\)
\(954\) 0.481843 1.00056i 0.0156002 0.0323942i
\(955\) −2.02395 3.22110i −0.0654936 0.104233i
\(956\) 41.0204 19.7544i 1.32669 0.638902i
\(957\) 14.3170 + 22.7853i 0.462801 + 0.736544i
\(958\) −80.1366 + 9.02923i −2.58910 + 0.291721i
\(959\) −0.499871 1.42855i −0.0161417 0.0461303i
\(960\) 15.7904 + 12.5924i 0.509632 + 0.406418i
\(961\) 27.9583 6.38129i 0.901879 0.205848i
\(962\) 21.4154 + 7.49356i 0.690459 + 0.241602i
\(963\) 10.8931 + 3.81168i 0.351027 + 0.122830i
\(964\) −33.6723 3.79396i −1.08451 0.122195i
\(965\) 6.50020 + 28.4792i 0.209249 + 0.916779i
\(966\) −0.630137 1.00286i −0.0202743 0.0322664i
\(967\) 27.7033 22.0926i 0.890878 0.710452i −0.0669612 0.997756i \(-0.521330\pi\)
0.957839 + 0.287304i \(0.0927590\pi\)
\(968\) 1.97472 + 2.47622i 0.0634698 + 0.0795886i
\(969\) 24.8166 + 10.6914i 0.797225 + 0.343459i
\(970\) −0.939267 4.11520i −0.0301580 0.132131i
\(971\) 2.16106 1.72339i 0.0693516 0.0553061i −0.588200 0.808715i \(-0.700163\pi\)
0.657552 + 0.753409i \(0.271592\pi\)
\(972\) 5.46248 15.6109i 0.175209 0.500719i
\(973\) −1.58380 + 0.762718i −0.0507743 + 0.0244516i
\(974\) 5.86521 + 3.68536i 0.187933 + 0.118086i
\(975\) −2.42954 + 0.273743i −0.0778074 + 0.00876679i
\(976\) −5.48565 15.6771i −0.175591 0.501811i
\(977\) 45.9258 + 36.6246i 1.46930 + 1.17172i 0.947967 + 0.318368i \(0.103135\pi\)
0.521328 + 0.853356i \(0.325437\pi\)
\(978\) 11.1980 + 2.55587i 0.358073 + 0.0817278i
\(979\) −6.60194 2.31012i −0.210999 0.0738317i
\(980\) −23.3107 + 14.6471i −0.744634 + 0.467885i
\(981\) 0.101002 0.0353422i 0.00322475 0.00112839i
\(982\) 53.8638 1.71886
\(983\) −27.2994 + 27.2994i −0.870715 + 0.870715i −0.992550 0.121836i \(-0.961122\pi\)
0.121836 + 0.992550i \(0.461122\pi\)
\(984\) −0.401956 + 0.834669i −0.0128139 + 0.0266083i
\(985\) −6.44171 28.2230i −0.205250 0.899259i
\(986\) 29.8669 15.9617i 0.951156 0.508325i
\(987\) −0.380217 + 0.476778i −0.0121025 + 0.0151760i
\(988\) 51.6307i 1.64259i
\(989\) 0.152672 23.8231i 0.00485470 0.757532i
\(990\) 17.1934 0.546442
\(991\) −0.0522669 0.463882i −0.00166031 0.0147357i 0.992855 0.119329i \(-0.0380744\pi\)
−0.994515 + 0.104594i \(0.966646\pi\)
\(992\) −1.32080 + 11.7224i −0.0419354 + 0.372187i
\(993\) −1.49092 + 2.37278i −0.0473129 + 0.0752980i
\(994\) −0.799905 + 1.66102i −0.0253714 + 0.0526843i
\(995\) 34.4100i 1.09087i
\(996\) −0.638539 0.638539i −0.0202329 0.0202329i
\(997\) −11.3986 32.5752i −0.360996 1.03167i −0.970961 0.239239i \(-0.923102\pi\)
0.609965 0.792429i \(-0.291184\pi\)
\(998\) −12.6501 20.1326i −0.400433 0.637286i
\(999\) 9.42481 4.53875i 0.298188 0.143600i
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 731.2.y.a.4.13 768
17.13 even 4 inner 731.2.y.a.47.52 yes 768
43.11 even 7 inner 731.2.y.a.140.52 yes 768
731.183 even 28 inner 731.2.y.a.183.13 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
731.2.y.a.4.13 768 1.1 even 1 trivial
731.2.y.a.47.52 yes 768 17.13 even 4 inner
731.2.y.a.140.52 yes 768 43.11 even 7 inner
731.2.y.a.183.13 yes 768 731.183 even 28 inner