Properties

Label 930.2.bs.a.107.18
Level $930$
Weight $2$
Character 930.107
Analytic conductor $7.426$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(107,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([30, 15, 44]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.107");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bs (of order \(60\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 107.18
Character \(\chi\) \(=\) 930.107
Dual form 930.2.bs.a.113.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.453990 - 0.891007i) q^{2} +(0.0504550 + 1.73132i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-2.07141 + 0.842184i) q^{5} +(1.51971 - 0.830957i) q^{6} +(-3.23873 + 2.62267i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-2.99491 + 0.174707i) q^{9} +O(q^{10})\) \(q+(-0.453990 - 0.891007i) q^{2} +(0.0504550 + 1.73132i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-2.07141 + 0.842184i) q^{5} +(1.51971 - 0.830957i) q^{6} +(-3.23873 + 2.62267i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-2.99491 + 0.174707i) q^{9} +(1.69079 + 1.46329i) q^{10} +(1.97769 + 4.44196i) q^{11} +(-1.43032 - 0.976823i) q^{12} +(-2.60381 + 1.69093i) q^{13} +(3.80717 + 1.69506i) q^{14} +(-1.56260 - 3.54377i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(6.19618 - 2.37849i) q^{17} +(1.51533 + 2.58917i) q^{18} +(-1.05458 - 4.96142i) q^{19} +(0.536201 - 2.17083i) q^{20} +(-4.70408 - 5.47494i) q^{21} +(3.05996 - 3.77874i) q^{22} +(-5.96605 - 0.944930i) q^{23} +(-0.221004 + 1.71789i) q^{24} +(3.58145 - 3.48901i) q^{25} +(2.68874 + 1.55234i) q^{26} +(-0.453581 - 5.17632i) q^{27} +(-0.218108 - 4.16175i) q^{28} +(2.10128 - 6.46706i) q^{29} +(-2.44811 + 3.00112i) q^{30} +(-0.292740 + 5.56006i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-7.59065 + 3.64812i) q^{33} +(-4.93225 - 4.44102i) q^{34} +(4.49995 - 8.16023i) q^{35} +(1.61902 - 2.52562i) q^{36} +(-2.86426 + 10.6896i) q^{37} +(-3.94189 + 3.19208i) q^{38} +(-3.05891 - 4.42270i) q^{39} +(-2.17765 + 0.507776i) q^{40} +(3.66558 - 3.30050i) q^{41} +(-2.74260 + 6.67694i) q^{42} +(-0.0923388 + 0.142189i) q^{43} +(-4.75608 - 1.01094i) q^{44} +(6.05654 - 2.88415i) q^{45} +(1.86659 + 5.74478i) q^{46} +(-5.55340 - 2.82960i) q^{47} +(1.63099 - 0.582992i) q^{48} +(2.15558 - 10.1412i) q^{49} +(-4.73468 - 1.60712i) q^{50} +(4.43054 + 10.6075i) q^{51} +(0.162487 - 3.10043i) q^{52} +(3.50294 - 4.32577i) q^{53} +(-4.40621 + 2.75414i) q^{54} +(-7.83755 - 7.53553i) q^{55} +(-3.60913 + 2.08373i) q^{56} +(8.53657 - 2.07614i) q^{57} +(-6.71615 + 1.06373i) q^{58} +(-4.84136 + 5.37687i) q^{59} +(3.78544 + 0.818804i) q^{60} +6.26812 q^{61} +(5.08695 - 2.26338i) q^{62} +(9.24150 - 8.42049i) q^{63} +(0.951057 + 0.309017i) q^{64} +(3.96947 - 5.69550i) q^{65} +(6.69659 + 5.10711i) q^{66} +(-10.3893 + 2.78380i) q^{67} +(-1.71778 + 6.41085i) q^{68} +(1.33495 - 10.3768i) q^{69} +(-9.31375 - 0.304823i) q^{70} +(-1.42163 + 0.149419i) q^{71} +(-2.98537 - 0.295951i) q^{72} +(1.18834 - 3.09573i) q^{73} +(10.8248 - 2.30089i) q^{74} +(6.22128 + 6.02458i) q^{75} +(4.63374 + 2.06307i) q^{76} +(-18.0550 - 9.19948i) q^{77} +(-2.55194 + 4.73338i) q^{78} +(1.56510 - 3.51527i) q^{79} +(1.44106 + 1.70978i) q^{80} +(8.93895 - 1.04646i) q^{81} +(-4.60491 - 1.76766i) q^{82} +(-0.0520453 + 0.993083i) q^{83} +(7.19431 - 0.587596i) q^{84} +(-10.8317 + 10.1451i) q^{85} +(0.168613 + 0.0177219i) q^{86} +(11.3025 + 3.31168i) q^{87} +(1.25846 + 4.69665i) q^{88} +(-4.40691 - 3.20181i) q^{89} +(-5.31941 - 4.08704i) q^{90} +(3.99827 - 12.3054i) q^{91} +(4.27122 - 4.27122i) q^{92} +(-9.64100 - 0.226293i) q^{93} +6.23272i q^{94} +(6.36290 + 9.38896i) q^{95} +(-1.25990 - 1.18855i) q^{96} +(0.767074 + 4.84312i) q^{97} +(-10.0145 + 2.68338i) q^{98} +(-6.69904 - 12.9578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q - 8 q^{3} + 24 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 8 q^{3} + 24 q^{7} + 8 q^{10} + 8 q^{12} - 8 q^{15} + 256 q^{16} + 44 q^{22} + 16 q^{25} - 20 q^{27} + 4 q^{28} + 48 q^{30} - 32 q^{31} - 52 q^{33} + 112 q^{37} + 12 q^{42} + 40 q^{45} + 24 q^{46} - 12 q^{48} + 16 q^{51} - 20 q^{55} - 40 q^{57} - 56 q^{58} - 12 q^{60} + 32 q^{61} + 224 q^{63} - 32 q^{66} + 24 q^{67} - 24 q^{70} - 88 q^{73} + 224 q^{75} - 96 q^{76} - 32 q^{78} + 48 q^{81} - 24 q^{85} + 20 q^{87} - 36 q^{88} + 8 q^{90} - 80 q^{91} - 252 q^{93} - 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(e\left(\frac{11}{15}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 0.891007i −0.321020 0.630037i
\(3\) 0.0504550 + 1.73132i 0.0291302 + 0.999576i
\(4\) −0.587785 + 0.809017i −0.293893 + 0.404508i
\(5\) −2.07141 + 0.842184i −0.926361 + 0.376636i
\(6\) 1.51971 0.830957i 0.620418 0.339237i
\(7\) −3.23873 + 2.62267i −1.22412 + 0.991277i −0.224265 + 0.974528i \(0.571998\pi\)
−0.999860 + 0.0167483i \(0.994669\pi\)
\(8\) 0.987688 + 0.156434i 0.349201 + 0.0553079i
\(9\) −2.99491 + 0.174707i −0.998303 + 0.0582357i
\(10\) 1.69079 + 1.46329i 0.534675 + 0.462734i
\(11\) 1.97769 + 4.44196i 0.596296 + 1.33930i 0.919544 + 0.392988i \(0.128558\pi\)
−0.323248 + 0.946314i \(0.604775\pi\)
\(12\) −1.43032 0.976823i −0.412898 0.281984i
\(13\) −2.60381 + 1.69093i −0.722167 + 0.468980i −0.852658 0.522469i \(-0.825011\pi\)
0.130492 + 0.991449i \(0.458344\pi\)
\(14\) 3.80717 + 1.69506i 1.01751 + 0.453024i
\(15\) −1.56260 3.54377i −0.403462 0.914997i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) 6.19618 2.37849i 1.50279 0.576868i 0.538715 0.842488i \(-0.318910\pi\)
0.964078 + 0.265619i \(0.0855765\pi\)
\(18\) 1.51533 + 2.58917i 0.357166 + 0.610273i
\(19\) −1.05458 4.96142i −0.241938 1.13823i −0.916508 0.400017i \(-0.869004\pi\)
0.674570 0.738211i \(-0.264329\pi\)
\(20\) 0.536201 2.17083i 0.119898 0.485412i
\(21\) −4.70408 5.47494i −1.02651 1.19473i
\(22\) 3.05996 3.77874i 0.652387 0.805630i
\(23\) −5.96605 0.944930i −1.24401 0.197031i −0.500487 0.865744i \(-0.666846\pi\)
−0.743521 + 0.668713i \(0.766846\pi\)
\(24\) −0.221004 + 1.71789i −0.0451122 + 0.350664i
\(25\) 3.58145 3.48901i 0.716290 0.697802i
\(26\) 2.68874 + 1.55234i 0.527305 + 0.304439i
\(27\) −0.453581 5.17632i −0.0872917 0.996183i
\(28\) −0.218108 4.16175i −0.0412186 0.786498i
\(29\) 2.10128 6.46706i 0.390197 1.20090i −0.542442 0.840093i \(-0.682500\pi\)
0.932639 0.360810i \(-0.117500\pi\)
\(30\) −2.44811 + 3.00112i −0.446962 + 0.547928i
\(31\) −0.292740 + 5.56006i −0.0525777 + 0.998617i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −7.59065 + 3.64812i −1.32136 + 0.635057i
\(34\) −4.93225 4.44102i −0.845875 0.761629i
\(35\) 4.49995 8.16023i 0.760631 1.37933i
\(36\) 1.61902 2.52562i 0.269837 0.420937i
\(37\) −2.86426 + 10.6896i −0.470882 + 1.75736i 0.165730 + 0.986171i \(0.447002\pi\)
−0.636612 + 0.771184i \(0.719665\pi\)
\(38\) −3.94189 + 3.19208i −0.639458 + 0.517823i
\(39\) −3.05891 4.42270i −0.489818 0.708199i
\(40\) −2.17765 + 0.507776i −0.344317 + 0.0802865i
\(41\) 3.66558 3.30050i 0.572467 0.515452i −0.331272 0.943535i \(-0.607478\pi\)
0.903739 + 0.428084i \(0.140811\pi\)
\(42\) −2.74260 + 6.67694i −0.423192 + 1.03027i
\(43\) −0.0923388 + 0.142189i −0.0140815 + 0.0216837i −0.845641 0.533752i \(-0.820782\pi\)
0.831560 + 0.555435i \(0.187448\pi\)
\(44\) −4.75608 1.01094i −0.717006 0.152404i
\(45\) 6.05654 2.88415i 0.902855 0.429944i
\(46\) 1.86659 + 5.74478i 0.275214 + 0.847022i
\(47\) −5.55340 2.82960i −0.810046 0.412739i −0.000648134 1.00000i \(-0.500206\pi\)
−0.809398 + 0.587261i \(0.800206\pi\)
\(48\) 1.63099 0.582992i 0.235413 0.0841476i
\(49\) 2.15558 10.1412i 0.307940 1.44874i
\(50\) −4.73468 1.60712i −0.669585 0.227281i
\(51\) 4.43054 + 10.6075i 0.620400 + 1.48535i
\(52\) 0.162487 3.10043i 0.0225329 0.429952i
\(53\) 3.50294 4.32577i 0.481166 0.594190i −0.477533 0.878614i \(-0.658469\pi\)
0.958699 + 0.284423i \(0.0918022\pi\)
\(54\) −4.40621 + 2.75414i −0.599609 + 0.374791i
\(55\) −7.83755 7.53553i −1.05681 1.01609i
\(56\) −3.60913 + 2.08373i −0.482290 + 0.278451i
\(57\) 8.53657 2.07614i 1.13070 0.274992i
\(58\) −6.71615 + 1.06373i −0.881874 + 0.139675i
\(59\) −4.84136 + 5.37687i −0.630291 + 0.700009i −0.970707 0.240266i \(-0.922765\pi\)
0.340416 + 0.940275i \(0.389432\pi\)
\(60\) 3.78544 + 0.818804i 0.488698 + 0.105707i
\(61\) 6.26812 0.802550 0.401275 0.915958i \(-0.368567\pi\)
0.401275 + 0.915958i \(0.368567\pi\)
\(62\) 5.08695 2.26338i 0.646044 0.287450i
\(63\) 9.24150 8.42049i 1.16432 1.06088i
\(64\) 0.951057 + 0.309017i 0.118882 + 0.0386271i
\(65\) 3.96947 5.69550i 0.492352 0.706439i
\(66\) 6.69659 + 5.10711i 0.824293 + 0.628642i
\(67\) −10.3893 + 2.78380i −1.26925 + 0.340096i −0.829745 0.558142i \(-0.811514\pi\)
−0.439510 + 0.898238i \(0.644848\pi\)
\(68\) −1.71778 + 6.41085i −0.208312 + 0.777430i
\(69\) 1.33495 10.3768i 0.160710 1.24922i
\(70\) −9.31375 0.304823i −1.11321 0.0364333i
\(71\) −1.42163 + 0.149419i −0.168716 + 0.0177328i −0.188510 0.982071i \(-0.560366\pi\)
0.0197935 + 0.999804i \(0.493699\pi\)
\(72\) −2.98537 0.295951i −0.351829 0.0348781i
\(73\) 1.18834 3.09573i 0.139085 0.362328i −0.846292 0.532720i \(-0.821170\pi\)
0.985376 + 0.170392i \(0.0545034\pi\)
\(74\) 10.8248 2.30089i 1.25836 0.267473i
\(75\) 6.22128 + 6.02458i 0.718372 + 0.695659i
\(76\) 4.63374 + 2.06307i 0.531526 + 0.236651i
\(77\) −18.0550 9.19948i −2.05756 1.04838i
\(78\) −2.55194 + 4.73338i −0.288950 + 0.535949i
\(79\) 1.56510 3.51527i 0.176088 0.395499i −0.803842 0.594843i \(-0.797214\pi\)
0.979930 + 0.199344i \(0.0638810\pi\)
\(80\) 1.44106 + 1.70978i 0.161116 + 0.191159i
\(81\) 8.93895 1.04646i 0.993217 0.116274i
\(82\) −4.60491 1.76766i −0.508527 0.195205i
\(83\) −0.0520453 + 0.993083i −0.00571271 + 0.109005i 0.994285 + 0.106760i \(0.0340478\pi\)
−0.999997 + 0.00224455i \(0.999286\pi\)
\(84\) 7.19431 0.587596i 0.784963 0.0641119i
\(85\) −10.8317 + 10.1451i −1.17486 + 1.10039i
\(86\) 0.168613 + 0.0177219i 0.0181820 + 0.00191100i
\(87\) 11.3025 + 3.31168i 1.21176 + 0.355049i
\(88\) 1.25846 + 4.69665i 0.134153 + 0.500665i
\(89\) −4.40691 3.20181i −0.467132 0.339391i 0.329191 0.944263i \(-0.393224\pi\)
−0.796322 + 0.604872i \(0.793224\pi\)
\(90\) −5.31941 4.08704i −0.560715 0.430811i
\(91\) 3.99827 12.3054i 0.419133 1.28996i
\(92\) 4.27122 4.27122i 0.445306 0.445306i
\(93\) −9.64100 0.226293i −0.999725 0.0234655i
\(94\) 6.23272i 0.642856i
\(95\) 6.36290 + 9.38896i 0.652819 + 0.963287i
\(96\) −1.25990 1.18855i −0.128588 0.121306i
\(97\) 0.767074 + 4.84312i 0.0778846 + 0.491744i 0.995538 + 0.0943621i \(0.0300811\pi\)
−0.917653 + 0.397382i \(0.869919\pi\)
\(98\) −10.0145 + 2.68338i −1.01162 + 0.271062i
\(99\) −6.69904 12.9578i −0.673279 1.30230i
\(100\) 0.717546 + 4.94824i 0.0717546 + 0.494824i
\(101\) −3.10014 4.26698i −0.308475 0.424580i 0.626430 0.779478i \(-0.284516\pi\)
−0.934905 + 0.354898i \(0.884516\pi\)
\(102\) 7.43995 8.76336i 0.736665 0.867702i
\(103\) −4.17625 0.218868i −0.411498 0.0215657i −0.154536 0.987987i \(-0.549388\pi\)
−0.256962 + 0.966421i \(0.582722\pi\)
\(104\) −2.83627 + 1.26279i −0.278119 + 0.123827i
\(105\) 14.3550 + 7.37912i 1.40090 + 0.720128i
\(106\) −5.44459 1.15728i −0.528826 0.112405i
\(107\) −8.76546 + 3.36475i −0.847389 + 0.325282i −0.743031 0.669257i \(-0.766612\pi\)
−0.104359 + 0.994540i \(0.533279\pi\)
\(108\) 4.45434 + 2.67561i 0.428619 + 0.257461i
\(109\) −5.94914 + 1.93299i −0.569824 + 0.185147i −0.579737 0.814804i \(-0.696845\pi\)
0.00991277 + 0.999951i \(0.496845\pi\)
\(110\) −3.15603 + 10.4044i −0.300916 + 0.992017i
\(111\) −18.6516 4.41960i −1.77033 0.419490i
\(112\) 3.49513 + 2.26976i 0.330259 + 0.214473i
\(113\) 7.33582 + 2.81596i 0.690096 + 0.264903i 0.678041 0.735024i \(-0.262829\pi\)
0.0120551 + 0.999927i \(0.496163\pi\)
\(114\) −5.72538 6.66359i −0.536231 0.624103i
\(115\) 13.1539 3.06718i 1.22661 0.286016i
\(116\) 3.99686 + 5.50121i 0.371099 + 0.510775i
\(117\) 7.50275 5.51909i 0.693630 0.510240i
\(118\) 6.98876 + 1.87263i 0.643367 + 0.172390i
\(119\) −13.8297 + 23.9538i −1.26777 + 2.19584i
\(120\) −0.988994 3.74458i −0.0902824 0.341832i
\(121\) −8.45933 + 9.39504i −0.769030 + 0.854095i
\(122\) −2.84567 5.58493i −0.257634 0.505636i
\(123\) 5.89916 + 6.17975i 0.531909 + 0.557209i
\(124\) −4.32612 3.50496i −0.388497 0.314754i
\(125\) −4.48025 + 10.2434i −0.400726 + 0.916198i
\(126\) −11.6983 4.41141i −1.04216 0.393000i
\(127\) 9.82914 0.515123i 0.872195 0.0457098i 0.389016 0.921231i \(-0.372815\pi\)
0.483180 + 0.875521i \(0.339482\pi\)
\(128\) −0.156434 0.987688i −0.0138270 0.0873001i
\(129\) −0.250834 0.152694i −0.0220847 0.0134439i
\(130\) −6.87683 0.951122i −0.603138 0.0834189i
\(131\) 16.1496 + 1.69740i 1.41100 + 0.148302i 0.779174 0.626808i \(-0.215639\pi\)
0.631827 + 0.775110i \(0.282306\pi\)
\(132\) 1.51028 8.28528i 0.131453 0.721141i
\(133\) 16.4277 + 13.3029i 1.42446 + 1.15350i
\(134\) 7.19703 + 7.99311i 0.621729 + 0.690500i
\(135\) 5.29896 + 10.3403i 0.456062 + 0.889948i
\(136\) 6.49197 1.37991i 0.556682 0.118326i
\(137\) −2.46225 + 1.59900i −0.210364 + 0.136612i −0.645521 0.763743i \(-0.723360\pi\)
0.435157 + 0.900355i \(0.356693\pi\)
\(138\) −9.85185 + 3.52151i −0.838645 + 0.299771i
\(139\) −2.29817 + 0.746721i −0.194928 + 0.0633360i −0.404854 0.914381i \(-0.632678\pi\)
0.209926 + 0.977717i \(0.432678\pi\)
\(140\) 3.95676 + 8.43700i 0.334407 + 0.713057i
\(141\) 4.61873 9.75745i 0.388967 0.821725i
\(142\) 0.778540 + 1.19885i 0.0653336 + 0.100605i
\(143\) −12.6606 8.22188i −1.05873 0.687548i
\(144\) 1.09163 + 2.79434i 0.0909695 + 0.232862i
\(145\) 1.09386 + 15.1656i 0.0908402 + 1.25943i
\(146\) −3.29781 + 0.346614i −0.272929 + 0.0286860i
\(147\) 17.6664 + 3.22032i 1.45710 + 0.265607i
\(148\) −6.96448 8.60041i −0.572477 0.706950i
\(149\) −8.42217 14.5876i −0.689971 1.19506i −0.971847 0.235613i \(-0.924290\pi\)
0.281876 0.959451i \(-0.409043\pi\)
\(150\) 2.54354 8.27831i 0.207679 0.675921i
\(151\) −15.6802 11.3923i −1.27604 0.927094i −0.276610 0.960982i \(-0.589211\pi\)
−0.999426 + 0.0338885i \(0.989211\pi\)
\(152\) −0.265462 5.06531i −0.0215318 0.410851i
\(153\) −18.1414 + 8.20587i −1.46665 + 0.663406i
\(154\) 20.2636i 1.63289i
\(155\) −4.07621 11.7637i −0.327409 0.944883i
\(156\) 5.37602 + 0.124884i 0.430426 + 0.00999869i
\(157\) −21.1987 + 10.8013i −1.69184 + 0.862034i −0.703330 + 0.710863i \(0.748304\pi\)
−0.988508 + 0.151171i \(0.951696\pi\)
\(158\) −3.84267 + 0.201386i −0.305707 + 0.0160214i
\(159\) 7.66602 + 5.84644i 0.607955 + 0.463653i
\(160\) 0.869191 2.06022i 0.0687156 0.162875i
\(161\) 21.8007 12.5866i 1.71813 0.991965i
\(162\) −4.99061 7.48958i −0.392099 0.588437i
\(163\) −1.30265 + 8.22463i −0.102032 + 0.644203i 0.882675 + 0.469983i \(0.155740\pi\)
−0.984707 + 0.174219i \(0.944260\pi\)
\(164\) 0.515589 + 4.90550i 0.0402607 + 0.383055i
\(165\) 12.6509 13.9495i 0.984874 1.08597i
\(166\) 0.908471 0.404478i 0.0705111 0.0313935i
\(167\) −1.64892 + 2.53911i −0.127597 + 0.196482i −0.896695 0.442648i \(-0.854039\pi\)
0.769098 + 0.639131i \(0.220706\pi\)
\(168\) −3.78970 6.14341i −0.292382 0.473974i
\(169\) −1.36701 + 3.07036i −0.105155 + 0.236181i
\(170\) 13.9569 + 5.04530i 1.07044 + 0.386956i
\(171\) 4.02517 + 14.6748i 0.307813 + 1.12221i
\(172\) −0.0607582 0.158280i −0.00463277 0.0120688i
\(173\) 3.87051 + 5.96006i 0.294269 + 0.453135i 0.954622 0.297821i \(-0.0962598\pi\)
−0.660353 + 0.750956i \(0.729593\pi\)
\(174\) −2.18052 11.5741i −0.165305 0.877431i
\(175\) −2.44882 + 20.6929i −0.185113 + 1.56424i
\(176\) 3.61342 3.25354i 0.272372 0.245244i
\(177\) −9.55333 8.11063i −0.718072 0.609632i
\(178\) −0.852137 + 5.38018i −0.0638703 + 0.403261i
\(179\) 1.35567 12.8983i 0.101327 0.964064i −0.819232 0.573462i \(-0.805600\pi\)
0.920560 0.390602i \(-0.127733\pi\)
\(180\) −1.22661 + 6.59511i −0.0914264 + 0.491570i
\(181\) 5.86488 10.1583i 0.435933 0.755058i −0.561438 0.827519i \(-0.689752\pi\)
0.997371 + 0.0724607i \(0.0230852\pi\)
\(182\) −12.7794 + 2.02405i −0.947270 + 0.150033i
\(183\) 0.316258 + 10.8521i 0.0233785 + 0.802210i
\(184\) −5.74478 1.86659i −0.423511 0.137607i
\(185\) −3.06954 24.5547i −0.225677 1.80530i
\(186\) 4.17529 + 8.69292i 0.306147 + 0.637396i
\(187\) 22.8193 + 22.8193i 1.66871 + 1.66871i
\(188\) 5.55340 2.82960i 0.405023 0.206370i
\(189\) 15.0448 + 15.5751i 1.09435 + 1.13292i
\(190\) 5.47693 9.93188i 0.397338 0.720534i
\(191\) −5.28064 3.04878i −0.382094 0.220602i 0.296635 0.954991i \(-0.404136\pi\)
−0.678729 + 0.734389i \(0.737469\pi\)
\(192\) −0.487020 + 1.66217i −0.0351477 + 0.119957i
\(193\) −13.8032 17.0456i −0.993578 1.22697i −0.973857 0.227161i \(-0.927056\pi\)
−0.0197205 0.999806i \(-0.506278\pi\)
\(194\) 3.96700 2.88220i 0.284814 0.206930i
\(195\) 10.0610 + 6.58504i 0.720482 + 0.471564i
\(196\) 6.93739 + 7.70476i 0.495528 + 0.550340i
\(197\) 4.01962 10.4715i 0.286386 0.746061i −0.712623 0.701547i \(-0.752493\pi\)
0.999009 0.0445136i \(-0.0141738\pi\)
\(198\) −8.50414 + 11.8516i −0.604363 + 0.842255i
\(199\) −0.794240 + 3.73661i −0.0563022 + 0.264881i −0.997291 0.0735565i \(-0.976565\pi\)
0.940989 + 0.338438i \(0.109898\pi\)
\(200\) 4.08316 2.88579i 0.288723 0.204056i
\(201\) −5.34384 17.8467i −0.376925 1.25881i
\(202\) −2.39447 + 4.69941i −0.168474 + 0.330649i
\(203\) 10.1555 + 26.4560i 0.712777 + 1.85685i
\(204\) −11.1859 2.65056i −0.783168 0.185577i
\(205\) −4.81327 + 9.92377i −0.336174 + 0.693106i
\(206\) 1.70096 + 3.82043i 0.118512 + 0.266182i
\(207\) 18.0329 + 1.78767i 1.25337 + 0.124251i
\(208\) 2.41279 + 1.95384i 0.167297 + 0.135475i
\(209\) 19.9528 14.4966i 1.38016 1.00275i
\(210\) 0.0578188 16.1404i 0.00398988 1.11379i
\(211\) 6.34962 + 10.9979i 0.437126 + 0.757124i 0.997466 0.0711382i \(-0.0226631\pi\)
−0.560341 + 0.828262i \(0.689330\pi\)
\(212\) 1.44065 + 5.37656i 0.0989440 + 0.369264i
\(213\) −0.330420 2.45375i −0.0226400 0.168128i
\(214\) 6.97745 + 6.28252i 0.476969 + 0.429464i
\(215\) 0.0715217 0.372298i 0.00487774 0.0253905i
\(216\) 0.361758 5.18354i 0.0246145 0.352696i
\(217\) −13.6341 18.7753i −0.925544 1.27455i
\(218\) 4.42316 + 4.42316i 0.299574 + 0.299574i
\(219\) 5.41964 + 1.90119i 0.366225 + 0.128471i
\(220\) 10.7032 1.91144i 0.721607 0.128869i
\(221\) −12.1118 + 16.6704i −0.814727 + 1.12138i
\(222\) 4.52973 + 18.6251i 0.304016 + 1.25004i
\(223\) 13.7613 + 3.68732i 0.921523 + 0.246921i 0.688236 0.725487i \(-0.258385\pi\)
0.233287 + 0.972408i \(0.425052\pi\)
\(224\) 0.435619 4.14464i 0.0291060 0.276925i
\(225\) −10.1166 + 11.0750i −0.674438 + 0.738332i
\(226\) −0.821356 7.81468i −0.0546358 0.519825i
\(227\) −14.2504 0.746830i −0.945830 0.0495689i −0.426820 0.904337i \(-0.640366\pi\)
−0.519011 + 0.854768i \(0.673699\pi\)
\(228\) −3.33804 + 8.12656i −0.221067 + 0.538194i
\(229\) 5.02011 + 23.6178i 0.331738 + 1.56071i 0.755634 + 0.654994i \(0.227329\pi\)
−0.423896 + 0.905711i \(0.639338\pi\)
\(230\) −8.70464 10.3278i −0.573967 0.680992i
\(231\) 15.0162 31.7231i 0.987996 2.08722i
\(232\) 3.08708 6.05873i 0.202676 0.397775i
\(233\) −5.91121 + 11.6014i −0.387256 + 0.760034i −0.999531 0.0306114i \(-0.990255\pi\)
0.612275 + 0.790645i \(0.290255\pi\)
\(234\) −8.32373 4.17938i −0.544139 0.273215i
\(235\) 13.8864 + 1.18426i 0.905848 + 0.0772528i
\(236\) −1.50430 7.07718i −0.0979217 0.460685i
\(237\) 6.16502 + 2.53232i 0.400461 + 0.164492i
\(238\) 27.6216 + 1.44759i 1.79044 + 0.0938330i
\(239\) −0.469703 4.46893i −0.0303826 0.289071i −0.999154 0.0411168i \(-0.986908\pi\)
0.968772 0.247954i \(-0.0797583\pi\)
\(240\) −2.88745 + 2.58120i −0.186384 + 0.166616i
\(241\) 1.84258 17.5310i 0.118691 1.12927i −0.759349 0.650684i \(-0.774482\pi\)
0.878040 0.478587i \(-0.158851\pi\)
\(242\) 12.2115 + 3.27206i 0.784985 + 0.210336i
\(243\) 2.26277 + 15.4234i 0.145157 + 0.989409i
\(244\) −3.68431 + 5.07101i −0.235864 + 0.324638i
\(245\) 4.07568 + 22.8220i 0.260386 + 1.45804i
\(246\) 2.82803 8.06173i 0.180309 0.513997i
\(247\) 11.1354 + 11.1354i 0.708526 + 0.708526i
\(248\) −1.15892 + 5.44581i −0.0735916 + 0.345810i
\(249\) −1.72197 0.0400008i −0.109125 0.00253495i
\(250\) 11.1609 0.658476i 0.705879 0.0416457i
\(251\) −9.17385 8.26017i −0.579048 0.521377i 0.326737 0.945115i \(-0.394051\pi\)
−0.905785 + 0.423738i \(0.860718\pi\)
\(252\) 1.38030 + 12.4260i 0.0869509 + 0.782762i
\(253\) −7.60165 28.3697i −0.477912 1.78359i
\(254\) −4.92132 8.52397i −0.308791 0.534841i
\(255\) −18.1110 18.2412i −1.13415 1.14231i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −15.9681 12.9307i −0.996062 0.806595i −0.0149210 0.999889i \(-0.504750\pi\)
−0.981141 + 0.193294i \(0.938083\pi\)
\(258\) −0.0221749 + 0.292816i −0.00138055 + 0.0182299i
\(259\) −18.7587 42.1327i −1.16561 2.61800i
\(260\) 2.27456 + 6.55910i 0.141062 + 0.406778i
\(261\) −5.16329 + 19.7354i −0.319599 + 1.22159i
\(262\) −5.81939 15.1600i −0.359523 0.936590i
\(263\) −0.907370 + 1.78081i −0.0559508 + 0.109810i −0.917289 0.398223i \(-0.869627\pi\)
0.861338 + 0.508033i \(0.169627\pi\)
\(264\) −8.06789 + 2.41577i −0.496544 + 0.148680i
\(265\) −3.61292 + 11.9106i −0.221940 + 0.731659i
\(266\) 4.39493 20.6765i 0.269471 1.26776i
\(267\) 5.32099 7.79130i 0.325639 0.476820i
\(268\) 3.85453 10.0414i 0.235453 0.613376i
\(269\) 1.18736 + 1.31870i 0.0723946 + 0.0804023i 0.778254 0.627950i \(-0.216106\pi\)
−0.705859 + 0.708352i \(0.749439\pi\)
\(270\) 6.80756 9.41579i 0.414295 0.573027i
\(271\) −7.47925 + 5.43400i −0.454332 + 0.330092i −0.791304 0.611423i \(-0.790597\pi\)
0.336972 + 0.941515i \(0.390597\pi\)
\(272\) −4.17680 5.15792i −0.253256 0.312745i
\(273\) 21.5063 + 6.30140i 1.30162 + 0.381378i
\(274\) 2.54256 + 1.46795i 0.153602 + 0.0886819i
\(275\) 22.5811 + 9.00849i 1.36169 + 0.543232i
\(276\) 7.61034 + 7.17933i 0.458088 + 0.432145i
\(277\) −1.98927 + 1.01358i −0.119524 + 0.0609003i −0.512730 0.858550i \(-0.671366\pi\)
0.393206 + 0.919450i \(0.371366\pi\)
\(278\) 1.70868 + 1.70868i 0.102480 + 0.102480i
\(279\) −0.0946515 16.7030i −0.00566663 0.999984i
\(280\) 5.72109 7.35581i 0.341901 0.439594i
\(281\) −1.12684 0.366131i −0.0672214 0.0218416i 0.275213 0.961383i \(-0.411252\pi\)
−0.342435 + 0.939542i \(0.611252\pi\)
\(282\) −10.7908 + 0.314472i −0.642583 + 0.0187265i
\(283\) −18.6509 + 2.95401i −1.10868 + 0.175598i −0.683812 0.729658i \(-0.739679\pi\)
−0.424867 + 0.905256i \(0.639679\pi\)
\(284\) 0.714730 1.23795i 0.0424115 0.0734588i
\(285\) −15.9342 + 11.4899i −0.943862 + 0.680603i
\(286\) −1.57796 + 15.0133i −0.0933069 + 0.887756i
\(287\) −3.21569 + 20.3030i −0.189816 + 1.19845i
\(288\) 1.99418 2.24126i 0.117508 0.132067i
\(289\) 20.1019 18.0999i 1.18247 1.06470i
\(290\) 13.0160 7.85966i 0.764327 0.461535i
\(291\) −8.34626 + 1.57241i −0.489266 + 0.0921761i
\(292\) 1.80601 + 2.78101i 0.105689 + 0.162746i
\(293\) 8.66406 + 22.5706i 0.506160 + 1.31859i 0.914065 + 0.405567i \(0.132926\pi\)
−0.407906 + 0.913024i \(0.633741\pi\)
\(294\) −5.15105 17.2029i −0.300416 1.00329i
\(295\) 5.50010 15.2150i 0.320228 0.885852i
\(296\) −4.50122 + 10.1099i −0.261628 + 0.587626i
\(297\) 22.0960 12.2519i 1.28214 0.710929i
\(298\) −9.17408 + 14.1268i −0.531440 + 0.818346i
\(299\) 17.1323 7.62778i 0.990785 0.441126i
\(300\) −8.53077 + 1.49196i −0.492524 + 0.0861385i
\(301\) −0.0738554 0.702687i −0.00425695 0.0405022i
\(302\) −3.03198 + 19.1432i −0.174471 + 1.10156i
\(303\) 7.23107 5.58261i 0.415414 0.320713i
\(304\) −4.39271 + 2.53613i −0.251939 + 0.145457i
\(305\) −12.9838 + 5.27891i −0.743451 + 0.302269i
\(306\) 15.5475 + 12.4388i 0.888793 + 0.711076i
\(307\) 8.34919 0.437562i 0.476513 0.0249730i 0.187432 0.982278i \(-0.439984\pi\)
0.289081 + 0.957305i \(0.406650\pi\)
\(308\) 18.0550 9.19948i 1.02878 0.524189i
\(309\) 0.168217 7.24145i 0.00956952 0.411951i
\(310\) −8.63097 + 8.97254i −0.490206 + 0.509606i
\(311\) 13.8001i 0.782532i 0.920278 + 0.391266i \(0.127963\pi\)
−0.920278 + 0.391266i \(0.872037\pi\)
\(312\) −2.32939 4.84677i −0.131876 0.274394i
\(313\) 0.602697 + 11.5001i 0.0340665 + 0.650027i 0.961293 + 0.275527i \(0.0888523\pi\)
−0.927227 + 0.374500i \(0.877814\pi\)
\(314\) 19.2480 + 13.9845i 1.08623 + 0.789190i
\(315\) −12.0513 + 25.2253i −0.679014 + 1.42128i
\(316\) 1.92397 + 3.33242i 0.108232 + 0.187463i
\(317\) 10.8530 + 13.4024i 0.609567 + 0.752752i 0.984708 0.174216i \(-0.0557389\pi\)
−0.375141 + 0.926968i \(0.622406\pi\)
\(318\) 1.72892 9.48470i 0.0969528 0.531876i
\(319\) 32.8821 3.45605i 1.84104 0.193502i
\(320\) −2.23027 + 0.160865i −0.124676 + 0.00899263i
\(321\) −6.26770 15.0060i −0.349829 0.837554i
\(322\) −21.1121 13.7103i −1.17653 0.764047i
\(323\) −18.3351 28.2335i −1.02019 1.57095i
\(324\) −4.40758 + 7.84686i −0.244866 + 0.435937i
\(325\) −3.42573 + 15.1407i −0.190025 + 0.839856i
\(326\) 7.91959 2.57323i 0.438625 0.142518i
\(327\) −3.64678 10.2023i −0.201668 0.564189i
\(328\) 4.13676 2.68644i 0.228414 0.148334i
\(329\) 25.4070 5.40043i 1.40074 0.297736i
\(330\) −18.1725 4.93914i −1.00036 0.271891i
\(331\) 12.0676 + 13.4025i 0.663297 + 0.736666i 0.977090 0.212826i \(-0.0682666\pi\)
−0.313794 + 0.949491i \(0.601600\pi\)
\(332\) −0.772829 0.625825i −0.0424145 0.0343466i
\(333\) 6.71066 32.5147i 0.367742 1.78180i
\(334\) 3.01096 + 0.316464i 0.164752 + 0.0173162i
\(335\) 19.1760 14.5161i 1.04770 0.793099i
\(336\) −3.75333 + 6.16570i −0.204761 + 0.336366i
\(337\) −2.10018 13.2600i −0.114404 0.722321i −0.976491 0.215559i \(-0.930843\pi\)
0.862086 0.506761i \(-0.169157\pi\)
\(338\) 3.35632 0.175897i 0.182560 0.00956755i
\(339\) −4.50518 + 12.8427i −0.244688 + 0.697520i
\(340\) −1.84089 14.7262i −0.0998364 0.798639i
\(341\) −25.2765 + 9.69573i −1.36880 + 0.525053i
\(342\) 11.2479 10.2487i 0.608217 0.554184i
\(343\) 6.37179 + 12.5053i 0.344044 + 0.675225i
\(344\) −0.113445 + 0.125994i −0.00611656 + 0.00679313i
\(345\) 5.97394 + 22.6188i 0.321626 + 1.21776i
\(346\) 3.55328 6.15446i 0.191025 0.330866i
\(347\) 1.46673 + 0.393008i 0.0787380 + 0.0210978i 0.297973 0.954574i \(-0.403689\pi\)
−0.219235 + 0.975672i \(0.570356\pi\)
\(348\) −9.32267 + 7.19740i −0.499748 + 0.385821i
\(349\) 9.35800 + 12.8802i 0.500922 + 0.689461i 0.982356 0.187022i \(-0.0598836\pi\)
−0.481433 + 0.876483i \(0.659884\pi\)
\(350\) 19.5493 7.21248i 1.04495 0.385523i
\(351\) 9.93385 + 12.7112i 0.530229 + 0.678472i
\(352\) −4.53938 1.74250i −0.241950 0.0928758i
\(353\) −24.1598 15.6895i −1.28589 0.835069i −0.293238 0.956039i \(-0.594733\pi\)
−0.992656 + 0.120970i \(0.961400\pi\)
\(354\) −2.88950 + 12.1942i −0.153575 + 0.648116i
\(355\) 2.81894 1.50678i 0.149614 0.0799717i
\(356\) 5.18064 1.68329i 0.274573 0.0892142i
\(357\) −42.1694 22.7351i −2.23184 1.20327i
\(358\) −12.1079 + 4.64780i −0.639924 + 0.245644i
\(359\) 20.8459 + 4.43094i 1.10021 + 0.233856i 0.722019 0.691873i \(-0.243214\pi\)
0.378187 + 0.925729i \(0.376548\pi\)
\(360\) 6.43315 1.90119i 0.339057 0.100202i
\(361\) −6.14616 + 2.73645i −0.323482 + 0.144024i
\(362\) −11.7137 0.613888i −0.615657 0.0322652i
\(363\) −16.6926 14.1717i −0.876134 0.743824i
\(364\) 7.60516 + 10.4676i 0.398619 + 0.548652i
\(365\) 0.145641 + 7.41331i 0.00762319 + 0.388031i
\(366\) 9.52571 5.20853i 0.497917 0.272254i
\(367\) 14.7002 3.93891i 0.767345 0.205610i 0.146147 0.989263i \(-0.453313\pi\)
0.621198 + 0.783653i \(0.286646\pi\)
\(368\) 0.944930 + 5.96605i 0.0492579 + 0.311002i
\(369\) −10.4015 + 10.5251i −0.541478 + 0.547915i
\(370\) −20.4849 + 13.8826i −1.06496 + 0.721721i
\(371\) 23.1971i 1.20433i
\(372\) 5.84991 7.66672i 0.303304 0.397501i
\(373\) 9.01462 9.01462i 0.466759 0.466759i −0.434104 0.900863i \(-0.642935\pi\)
0.900863 + 0.434104i \(0.142935\pi\)
\(374\) 9.97238 30.6918i 0.515660 1.58704i
\(375\) −17.9606 7.23990i −0.927482 0.373867i
\(376\) −5.04238 3.66350i −0.260041 0.188931i
\(377\) 5.46405 + 20.3921i 0.281413 + 1.05025i
\(378\) 7.04731 20.4760i 0.362475 1.05317i
\(379\) −19.7366 2.07440i −1.01380 0.106555i −0.416969 0.908921i \(-0.636907\pi\)
−0.596832 + 0.802366i \(0.703574\pi\)
\(380\) −11.3358 0.371002i −0.581517 0.0190320i
\(381\) 1.38777 + 16.9914i 0.0710976 + 0.870494i
\(382\) −0.319122 + 6.08920i −0.0163277 + 0.311551i
\(383\) −12.8734 4.94163i −0.657799 0.252506i 0.00649239 0.999979i \(-0.497933\pi\)
−0.664292 + 0.747473i \(0.731267\pi\)
\(384\) 1.70211 0.320671i 0.0868603 0.0163642i
\(385\) 45.1469 + 3.85023i 2.30090 + 0.196226i
\(386\) −8.92117 + 20.0373i −0.454076 + 1.01987i
\(387\) 0.251705 0.441976i 0.0127949 0.0224669i
\(388\) −4.36904 2.22614i −0.221804 0.113015i
\(389\) −24.9414 11.1046i −1.26458 0.563026i −0.338715 0.940889i \(-0.609992\pi\)
−0.925861 + 0.377863i \(0.876659\pi\)
\(390\) 1.29972 11.9539i 0.0658140 0.605312i
\(391\) −39.2142 + 8.33524i −1.98315 + 0.421531i
\(392\) 3.71548 9.67915i 0.187660 0.488871i
\(393\) −2.12390 + 28.0458i −0.107136 + 1.41472i
\(394\) −11.1550 + 1.17244i −0.561981 + 0.0590666i
\(395\) −0.281452 + 8.59967i −0.0141614 + 0.432696i
\(396\) 14.4206 + 2.19674i 0.724664 + 0.110390i
\(397\) 3.15317 11.7678i 0.158253 0.590608i −0.840552 0.541731i \(-0.817769\pi\)
0.998805 0.0488769i \(-0.0155642\pi\)
\(398\) 3.68992 0.988711i 0.184959 0.0495596i
\(399\) −22.2026 + 29.1127i −1.11152 + 1.45746i
\(400\) −4.42498 2.32800i −0.221249 0.116400i
\(401\) −18.7062 6.07800i −0.934141 0.303521i −0.197886 0.980225i \(-0.563408\pi\)
−0.736255 + 0.676704i \(0.763408\pi\)
\(402\) −13.4755 + 12.8636i −0.672096 + 0.641579i
\(403\) −8.63945 14.9723i −0.430362 0.745826i
\(404\) 5.27427 0.262405
\(405\) −17.6349 + 9.69590i −0.876285 + 0.481793i
\(406\) 18.9620 21.0594i 0.941067 1.04516i
\(407\) −53.1473 + 8.41771i −2.63441 + 0.417250i
\(408\) 2.71661 + 11.1700i 0.134492 + 0.552999i
\(409\) −25.7440 + 14.8633i −1.27296 + 0.734942i −0.975544 0.219806i \(-0.929457\pi\)
−0.297414 + 0.954749i \(0.596124\pi\)
\(410\) 11.0273 0.216641i 0.544601 0.0106992i
\(411\) −2.89261 4.18225i −0.142682 0.206295i
\(412\) 2.63180 3.25001i 0.129660 0.160116i
\(413\) 1.57808 30.1115i 0.0776521 1.48169i
\(414\) −6.59393 16.8790i −0.324074 0.829557i
\(415\) −0.728552 2.10091i −0.0357632 0.103130i
\(416\) 0.645500 3.03684i 0.0316483 0.148893i
\(417\) −1.40876 3.94118i −0.0689874 0.193000i
\(418\) −21.9749 11.1968i −1.07483 0.547652i
\(419\) 10.0107 + 30.8097i 0.489054 + 1.50515i 0.826023 + 0.563637i \(0.190598\pi\)
−0.336969 + 0.941516i \(0.609402\pi\)
\(420\) −14.4075 + 7.27608i −0.703013 + 0.355036i
\(421\) −37.4466 7.95953i −1.82504 0.387924i −0.837645 0.546215i \(-0.816068\pi\)
−0.987393 + 0.158291i \(0.949402\pi\)
\(422\) 6.91650 10.6505i 0.336690 0.518457i
\(423\) 17.1263 + 7.50416i 0.832707 + 0.364865i
\(424\) 4.13651 3.72453i 0.200887 0.180879i
\(425\) 13.8927 30.1370i 0.673896 1.46186i
\(426\) −2.03630 + 1.40839i −0.0986591 + 0.0682366i
\(427\) −20.3007 + 16.4392i −0.982421 + 0.795549i
\(428\) 2.43007 9.06916i 0.117462 0.438374i
\(429\) 13.5959 22.3343i 0.656415 1.07831i
\(430\) −0.364190 + 0.105294i −0.0175628 + 0.00507771i
\(431\) −1.42585 1.28384i −0.0686808 0.0618405i 0.634075 0.773271i \(-0.281381\pi\)
−0.702756 + 0.711431i \(0.748048\pi\)
\(432\) −4.78281 + 2.03095i −0.230113 + 0.0977142i
\(433\) −12.0058 + 12.0058i −0.576961 + 0.576961i −0.934065 0.357104i \(-0.883764\pi\)
0.357104 + 0.934065i \(0.383764\pi\)
\(434\) −10.5392 + 20.6719i −0.505896 + 0.992282i
\(435\) −26.2012 + 2.65900i −1.25625 + 0.127489i
\(436\) 1.93299 5.94914i 0.0925735 0.284912i
\(437\) 1.60350 + 30.5966i 0.0767058 + 1.46363i
\(438\) −0.766489 5.69206i −0.0366242 0.271977i
\(439\) −7.29795 4.21347i −0.348312 0.201098i 0.315630 0.948882i \(-0.397784\pi\)
−0.663942 + 0.747784i \(0.731118\pi\)
\(440\) −6.56224 8.66882i −0.312842 0.413270i
\(441\) −4.68403 + 30.7486i −0.223049 + 1.46422i
\(442\) 20.3521 + 3.22346i 0.968051 + 0.153324i
\(443\) −15.0603 + 18.5979i −0.715536 + 0.883614i −0.997114 0.0759250i \(-0.975809\pi\)
0.281577 + 0.959539i \(0.409142\pi\)
\(444\) 14.5386 12.4916i 0.689973 0.592827i
\(445\) 11.8250 + 2.92082i 0.560560 + 0.138460i
\(446\) −2.96206 13.9354i −0.140258 0.659860i
\(447\) 24.8308 15.3174i 1.17446 0.724490i
\(448\) −3.89066 + 1.49349i −0.183817 + 0.0705606i
\(449\) −0.574066 1.76679i −0.0270919 0.0833802i 0.936596 0.350410i \(-0.113958\pi\)
−0.963688 + 0.267030i \(0.913958\pi\)
\(450\) 14.4607 + 3.98599i 0.681684 + 0.187901i
\(451\) 21.9101 + 9.75499i 1.03171 + 0.459345i
\(452\) −6.59004 + 4.27962i −0.309970 + 0.201297i
\(453\) 18.9326 27.7221i 0.889529 1.30250i
\(454\) 5.80410 + 13.0362i 0.272400 + 0.611820i
\(455\) 2.08138 + 28.8568i 0.0975766 + 1.35283i
\(456\) 8.75625 0.715168i 0.410049 0.0334908i
\(457\) −34.8582 5.52099i −1.63060 0.258261i −0.726997 0.686640i \(-0.759085\pi\)
−0.903599 + 0.428379i \(0.859085\pi\)
\(458\) 18.7645 15.1952i 0.876807 0.710024i
\(459\) −15.1223 30.9945i −0.705848 1.44670i
\(460\) −5.25028 + 12.4446i −0.244796 + 0.580232i
\(461\) 8.84577 12.1752i 0.411989 0.567054i −0.551713 0.834034i \(-0.686026\pi\)
0.963702 + 0.266980i \(0.0860257\pi\)
\(462\) −35.0827 + 1.02240i −1.63219 + 0.0475664i
\(463\) −7.77921 15.2676i −0.361530 0.709543i 0.636566 0.771223i \(-0.280354\pi\)
−0.998096 + 0.0616791i \(0.980354\pi\)
\(464\) −6.79987 −0.315676
\(465\) 20.1610 7.65075i 0.934944 0.354795i
\(466\) 13.0206 0.603166
\(467\) 3.64285 + 7.14949i 0.168571 + 0.330839i 0.959802 0.280678i \(-0.0905594\pi\)
−0.791231 + 0.611517i \(0.790559\pi\)
\(468\) 0.0550344 + 9.31389i 0.00254396 + 0.430535i
\(469\) 26.3471 36.2637i 1.21660 1.67450i
\(470\) −5.24910 12.9105i −0.242123 0.595517i
\(471\) −19.7700 36.1566i −0.910952 1.66601i
\(472\) −5.62288 + 4.55332i −0.258814 + 0.209583i
\(473\) −0.814217 0.128959i −0.0374377 0.00592956i
\(474\) −0.542545 6.64272i −0.0249199 0.305110i
\(475\) −21.0874 14.0896i −0.967555 0.646476i
\(476\) −11.2501 25.2682i −0.515649 1.15817i
\(477\) −9.73524 + 13.5673i −0.445746 + 0.621203i
\(478\) −3.76860 + 2.44736i −0.172372 + 0.111940i
\(479\) −35.0752 15.6165i −1.60263 0.713536i −0.605991 0.795472i \(-0.707223\pi\)
−0.996638 + 0.0819353i \(0.973890\pi\)
\(480\) 3.61075 + 1.40090i 0.164807 + 0.0639419i
\(481\) −10.6174 32.6769i −0.484110 1.48994i
\(482\) −16.4567 + 6.31715i −0.749584 + 0.287738i
\(483\) 22.8914 + 37.1088i 1.04159 + 1.68851i
\(484\) −2.62848 12.3660i −0.119476 0.562091i
\(485\) −5.66772 9.38604i −0.257358 0.426198i
\(486\) 12.7150 9.01820i 0.576766 0.409074i
\(487\) −2.68494 + 3.31563i −0.121666 + 0.150246i −0.834340 0.551250i \(-0.814151\pi\)
0.712673 + 0.701496i \(0.247484\pi\)
\(488\) 6.19095 + 0.980550i 0.280251 + 0.0443874i
\(489\) −14.3052 1.84033i −0.646901 0.0832226i
\(490\) 18.4842 13.9924i 0.835031 0.632113i
\(491\) 20.1532 + 11.6354i 0.909499 + 0.525100i 0.880270 0.474473i \(-0.157361\pi\)
0.0292293 + 0.999573i \(0.490695\pi\)
\(492\) −8.46696 + 1.14015i −0.381720 + 0.0514021i
\(493\) −2.36196 45.0689i −0.106377 2.02980i
\(494\) 4.86633 14.9770i 0.218946 0.673848i
\(495\) 24.7892 + 21.1989i 1.11419 + 0.952822i
\(496\) 5.37840 1.43974i 0.241497 0.0646463i
\(497\) 4.21240 4.21240i 0.188952 0.188952i
\(498\) 0.746115 + 1.55244i 0.0334342 + 0.0695666i
\(499\) 6.87024 + 6.18599i 0.307554 + 0.276923i 0.808425 0.588599i \(-0.200320\pi\)
−0.500871 + 0.865522i \(0.666987\pi\)
\(500\) −5.65366 9.64552i −0.252840 0.431361i
\(501\) −4.47920 2.72669i −0.200116 0.121819i
\(502\) −3.19503 + 11.9240i −0.142601 + 0.532194i
\(503\) −13.2627 + 10.7399i −0.591355 + 0.478870i −0.877670 0.479265i \(-0.840903\pi\)
0.286315 + 0.958136i \(0.407570\pi\)
\(504\) 10.4450 6.87113i 0.465256 0.306064i
\(505\) 10.0152 + 6.22775i 0.445672 + 0.277131i
\(506\) −21.8266 + 19.6527i −0.970309 + 0.873670i
\(507\) −5.38473 2.21181i −0.239144 0.0982301i
\(508\) −5.36068 + 8.25472i −0.237842 + 0.366244i
\(509\) 10.9599 + 2.32959i 0.485787 + 0.103257i 0.444293 0.895881i \(-0.353455\pi\)
0.0414942 + 0.999139i \(0.486788\pi\)
\(510\) −8.03081 + 24.4183i −0.355610 + 1.08126i
\(511\) 4.27037 + 13.1428i 0.188910 + 0.581405i
\(512\) 0.891007 + 0.453990i 0.0393773 + 0.0200637i
\(513\) −25.2035 + 7.70926i −1.11276 + 0.340372i
\(514\) −4.27198 + 20.0981i −0.188429 + 0.886489i
\(515\) 8.83503 3.06381i 0.389318 0.135007i
\(516\) 0.270968 0.113178i 0.0119287 0.00498237i
\(517\) 1.58607 30.2640i 0.0697553 1.33101i
\(518\) −29.0242 + 35.8419i −1.27525 + 1.57480i
\(519\) −10.1235 + 7.00179i −0.444371 + 0.307344i
\(520\) 4.81157 5.00441i 0.211001 0.219458i
\(521\) −26.8136 + 15.4808i −1.17472 + 0.678227i −0.954788 0.297287i \(-0.903918\pi\)
−0.219936 + 0.975514i \(0.570585\pi\)
\(522\) 19.9284 4.35914i 0.872243 0.190795i
\(523\) 11.2072 1.77505i 0.490058 0.0776175i 0.0934846 0.995621i \(-0.470199\pi\)
0.396573 + 0.918003i \(0.370199\pi\)
\(524\) −10.8657 + 12.0676i −0.474672 + 0.527177i
\(525\) −35.9496 3.19562i −1.56897 0.139468i
\(526\) 1.99865 0.0871455
\(527\) 11.4107 + 35.1474i 0.497057 + 1.53105i
\(528\) 5.81521 + 6.09181i 0.253075 + 0.265112i
\(529\) 12.8266 + 4.16761i 0.557677 + 0.181200i
\(530\) 12.2526 2.18814i 0.532219 0.0950469i
\(531\) 13.5600 16.9491i 0.588456 0.735526i
\(532\) −20.4182 + 5.47104i −0.885241 + 0.237200i
\(533\) −3.96354 + 14.7921i −0.171680 + 0.640718i
\(534\) −9.35778 1.20386i −0.404951 0.0520961i
\(535\) 15.3231 14.3519i 0.662476 0.620487i
\(536\) −10.6969 + 1.12429i −0.462035 + 0.0485618i
\(537\) 22.3994 + 1.69630i 0.966607 + 0.0732008i
\(538\) 0.635917 1.65662i 0.0274163 0.0714220i
\(539\) 49.3099 10.4811i 2.12393 0.451455i
\(540\) −11.4801 1.79090i −0.494025 0.0770681i
\(541\) −17.3426 7.72142i −0.745616 0.331970i −0.00148124 0.999999i \(-0.500471\pi\)
−0.744135 + 0.668029i \(0.767138\pi\)
\(542\) 8.23724 + 4.19708i 0.353820 + 0.180280i
\(543\) 17.8831 + 9.64142i 0.767436 + 0.413753i
\(544\) −2.69951 + 6.06320i −0.115741 + 0.259958i
\(545\) 10.6951 9.01428i 0.458130 0.386129i
\(546\) −4.14906 22.0230i −0.177563 0.942498i
\(547\) −25.1878 9.66870i −1.07695 0.413404i −0.245728 0.969339i \(-0.579027\pi\)
−0.831226 + 0.555935i \(0.812360\pi\)
\(548\) 0.153653 2.93187i 0.00656372 0.125243i
\(549\) −18.7724 + 1.09508i −0.801188 + 0.0467371i
\(550\) −2.22496 24.2096i −0.0948727 1.03230i
\(551\) −34.3018 3.60526i −1.46130 0.153589i
\(552\) 2.94181 10.0402i 0.125212 0.427340i
\(553\) 4.15047 + 15.4898i 0.176496 + 0.658692i
\(554\) 1.80622 + 1.31229i 0.0767388 + 0.0557540i
\(555\) 42.3571 6.55325i 1.79796 0.278170i
\(556\) 0.746721 2.29817i 0.0316680 0.0974641i
\(557\) 27.6810 27.6810i 1.17288 1.17288i 0.191363 0.981519i \(-0.438709\pi\)
0.981519 0.191363i \(-0.0612909\pi\)
\(558\) −14.8395 + 7.66735i −0.628208 + 0.324585i
\(559\) 0.526373i 0.0222632i
\(560\) −9.15140 1.75806i −0.386717 0.0742916i
\(561\) −38.3560 + 40.6587i −1.61939 + 1.71661i
\(562\) 0.185348 + 1.17024i 0.00781842 + 0.0493635i
\(563\) 36.4945 9.77867i 1.53806 0.412122i 0.612422 0.790531i \(-0.290195\pi\)
0.925638 + 0.378409i \(0.123529\pi\)
\(564\) 5.17912 + 9.47191i 0.218080 + 0.398839i
\(565\) −17.5670 + 0.345119i −0.739050 + 0.0145193i
\(566\) 11.0994 + 15.2770i 0.466541 + 0.642138i
\(567\) −26.2063 + 26.8332i −1.10056 + 1.12689i
\(568\) −1.42750 0.0748122i −0.0598967 0.00313905i
\(569\) −34.5448 + 15.3803i −1.44819 + 0.644777i −0.972089 0.234613i \(-0.924618\pi\)
−0.476103 + 0.879390i \(0.657951\pi\)
\(570\) 17.4716 + 8.98119i 0.731803 + 0.376180i
\(571\) −14.6629 3.11669i −0.613623 0.130430i −0.109392 0.993999i \(-0.534891\pi\)
−0.504231 + 0.863569i \(0.668224\pi\)
\(572\) 14.0933 5.40993i 0.589272 0.226200i
\(573\) 5.01197 9.29629i 0.209378 0.388358i
\(574\) 19.5500 6.35219i 0.816003 0.265135i
\(575\) −24.6640 + 17.4314i −1.02856 + 0.726940i
\(576\) −2.90231 0.759321i −0.120930 0.0316384i
\(577\) 22.5352 + 14.6345i 0.938151 + 0.609243i 0.920559 0.390603i \(-0.127733\pi\)
0.0175919 + 0.999845i \(0.494400\pi\)
\(578\) −25.2532 9.69378i −1.05039 0.403208i
\(579\) 28.8148 24.7578i 1.19750 1.02890i
\(580\) −12.9122 8.02915i −0.536148 0.333392i
\(581\) −2.43597 3.35282i −0.101061 0.139099i
\(582\) 5.19015 + 6.72271i 0.215139 + 0.278665i
\(583\) 26.1426 + 7.00490i 1.08272 + 0.290113i
\(584\) 1.65799 2.87172i 0.0686080 0.118833i
\(585\) −10.8932 + 17.7510i −0.450377 + 0.733913i
\(586\) 16.1772 17.9666i 0.668273 0.742193i
\(587\) −14.2173 27.9031i −0.586813 1.15168i −0.973331 0.229403i \(-0.926323\pi\)
0.386519 0.922282i \(-0.373677\pi\)
\(588\) −12.9893 + 12.3996i −0.535671 + 0.511349i
\(589\) 27.8945 4.41113i 1.14937 0.181758i
\(590\) −16.0537 + 2.00684i −0.660919 + 0.0826203i
\(591\) 18.3322 + 6.43089i 0.754087 + 0.264532i
\(592\) 11.0515 0.579184i 0.454214 0.0238043i
\(593\) −1.23365 7.78893i −0.0506597 0.319853i −0.999985 0.00555636i \(-0.998231\pi\)
0.949325 0.314297i \(-0.101769\pi\)
\(594\) −20.9479 14.1254i −0.859503 0.579572i
\(595\) 8.47349 61.2653i 0.347379 2.51163i
\(596\) 16.7521 + 1.76071i 0.686191 + 0.0721216i
\(597\) −6.50932 1.18655i −0.266409 0.0485623i
\(598\) −14.5743 11.8020i −0.595987 0.482621i
\(599\) 0.0187004 + 0.0207689i 0.000764077 + 0.000848593i 0.743527 0.668706i \(-0.233152\pi\)
−0.742763 + 0.669555i \(0.766485\pi\)
\(600\) 5.20224 + 6.92364i 0.212380 + 0.282656i
\(601\) 28.1423 5.98183i 1.14795 0.244004i 0.405620 0.914042i \(-0.367055\pi\)
0.742327 + 0.670038i \(0.233722\pi\)
\(602\) −0.592569 + 0.384819i −0.0241513 + 0.0156840i
\(603\) 30.6287 10.1523i 1.24730 0.413435i
\(604\) 18.4332 5.98930i 0.750035 0.243701i
\(605\) 9.61036 26.5853i 0.390717 1.08084i
\(606\) −8.25698 3.90847i −0.335417 0.158771i
\(607\) −2.41297 3.71564i −0.0979393 0.150813i 0.786304 0.617840i \(-0.211992\pi\)
−0.884243 + 0.467026i \(0.845325\pi\)
\(608\) 4.25395 + 2.76255i 0.172521 + 0.112036i
\(609\) −45.2913 + 18.9172i −1.83530 + 0.766565i
\(610\) 10.5981 + 9.17209i 0.429103 + 0.371367i
\(611\) 19.2446 2.02269i 0.778555 0.0818294i
\(612\) 4.02458 19.5000i 0.162684 0.788242i
\(613\) 22.5648 + 27.8653i 0.911386 + 1.12547i 0.991684 + 0.128697i \(0.0410794\pi\)
−0.0802984 + 0.996771i \(0.525587\pi\)
\(614\) −4.18032 7.24053i −0.168704 0.292204i
\(615\) −17.4240 7.83259i −0.702605 0.315841i
\(616\) −16.3936 11.9106i −0.660517 0.479894i
\(617\) −1.04727 19.9831i −0.0421616 0.804490i −0.935116 0.354343i \(-0.884705\pi\)
0.892954 0.450148i \(-0.148629\pi\)
\(618\) −6.52854 + 3.13767i −0.262617 + 0.126215i
\(619\) 26.1265i 1.05011i 0.851067 + 0.525057i \(0.175956\pi\)
−0.851067 + 0.525057i \(0.824044\pi\)
\(620\) 11.9130 + 3.61680i 0.478436 + 0.145254i
\(621\) −2.18517 + 31.3108i −0.0876878 + 1.25646i
\(622\) 12.2960 6.26511i 0.493024 0.251208i
\(623\) 22.6701 1.18809i 0.908258 0.0475998i
\(624\) −3.26098 + 4.27589i −0.130544 + 0.171173i
\(625\) 0.653587 24.9915i 0.0261435 0.999658i
\(626\) 9.97309 5.75796i 0.398605 0.230135i
\(627\) 26.1048 + 33.8132i 1.04253 + 1.35037i
\(628\) 3.72186 23.4989i 0.148518 0.937708i
\(629\) 7.67756 + 73.0471i 0.306124 + 2.91258i
\(630\) 27.9471 0.714262i 1.11344 0.0284569i
\(631\) 43.1053 19.1917i 1.71599 0.764010i 0.718330 0.695703i \(-0.244907\pi\)
0.997664 0.0683072i \(-0.0217598\pi\)
\(632\) 2.09574 3.22716i 0.0833641 0.128370i
\(633\) −18.7204 + 11.5481i −0.744069 + 0.458995i
\(634\) 7.01443 15.7547i 0.278579 0.625698i
\(635\) −19.9263 + 9.34498i −0.790752 + 0.370844i
\(636\) −9.23584 + 2.76549i −0.366225 + 0.109659i
\(637\) 11.5354 + 30.0507i 0.457049 + 1.19065i
\(638\) −18.0075 27.7292i −0.712925 1.09781i
\(639\) 4.23155 0.695866i 0.167397 0.0275280i
\(640\) 1.15585 + 1.91416i 0.0456892 + 0.0756637i
\(641\) 22.3674 20.1397i 0.883458 0.795469i −0.0963630 0.995346i \(-0.530721\pi\)
0.979821 + 0.199877i \(0.0640543\pi\)
\(642\) −10.5250 + 12.3972i −0.415388 + 0.489277i
\(643\) −3.18011 + 20.0784i −0.125411 + 0.791817i 0.842162 + 0.539225i \(0.181283\pi\)
−0.967573 + 0.252591i \(0.918717\pi\)
\(644\) −2.63132 + 25.0353i −0.103689 + 0.986531i
\(645\) 0.648174 + 0.105042i 0.0255218 + 0.00413603i
\(646\) −16.8323 + 29.1544i −0.662258 + 1.14706i
\(647\) 39.1543 6.20143i 1.53931 0.243803i 0.671618 0.740898i \(-0.265600\pi\)
0.867697 + 0.497094i \(0.165600\pi\)
\(648\) 8.99260 + 0.364781i 0.353263 + 0.0143299i
\(649\) −33.4585 10.8713i −1.31336 0.426737i
\(650\) 15.0457 3.82140i 0.590142 0.149887i
\(651\) 31.8181 24.5523i 1.24705 0.962279i
\(652\) −5.88818 5.88818i −0.230599 0.230599i
\(653\) −2.02693 + 1.03277i −0.0793198 + 0.0404155i −0.493200 0.869916i \(-0.664173\pi\)
0.413881 + 0.910331i \(0.364173\pi\)
\(654\) −7.43472 + 7.88106i −0.290720 + 0.308174i
\(655\) −34.8820 + 10.0850i −1.36295 + 0.394053i
\(656\) −4.27169 2.46626i −0.166781 0.0962913i
\(657\) −3.01812 + 9.47904i −0.117748 + 0.369812i
\(658\) −16.3464 20.1861i −0.637248 0.786936i
\(659\) 10.0651 7.31276i 0.392083 0.284865i −0.374226 0.927338i \(-0.622092\pi\)
0.766308 + 0.642473i \(0.222092\pi\)
\(660\) 3.84933 + 18.4341i 0.149835 + 0.717547i
\(661\) 14.2704 + 15.8489i 0.555054 + 0.616450i 0.953738 0.300639i \(-0.0971998\pi\)
−0.398684 + 0.917088i \(0.630533\pi\)
\(662\) 6.46309 16.8369i 0.251195 0.654385i
\(663\) −29.4729 20.1282i −1.14463 0.781716i
\(664\) −0.206757 + 0.972715i −0.00802372 + 0.0377487i
\(665\) −45.2319 13.7205i −1.75402 0.532059i
\(666\) −32.0174 + 8.78213i −1.24065 + 0.340300i
\(667\) −18.6472 + 36.5973i −0.722024 + 1.41705i
\(668\) −1.08497 2.82645i −0.0419789 0.109359i
\(669\) −5.68959 + 24.0111i −0.219972 + 0.928325i
\(670\) −21.6397 10.4958i −0.836013 0.405487i
\(671\) 12.3964 + 27.8427i 0.478557 + 1.07486i
\(672\) 7.19765 + 0.545076i 0.277655 + 0.0210268i
\(673\) 19.2896 + 15.6204i 0.743559 + 0.602122i 0.924415 0.381388i \(-0.124554\pi\)
−0.180857 + 0.983509i \(0.557887\pi\)
\(674\) −10.8613 + 7.89121i −0.418363 + 0.303958i
\(675\) −19.6847 16.9562i −0.757665 0.652644i
\(676\) −1.68046 2.91065i −0.0646332 0.111948i
\(677\) −4.22765 15.7778i −0.162482 0.606390i −0.998348 0.0574568i \(-0.981701\pi\)
0.835866 0.548933i \(-0.184966\pi\)
\(678\) 13.4882 1.81632i 0.518013 0.0697552i
\(679\) −15.1862 13.6738i −0.582795 0.524751i
\(680\) −12.2854 + 8.32579i −0.471122 + 0.319279i
\(681\) 0.573997 24.7096i 0.0219956 0.946873i
\(682\) 20.1143 + 18.1198i 0.770215 + 0.693843i
\(683\) −16.0149 16.0149i −0.612793 0.612793i 0.330880 0.943673i \(-0.392655\pi\)
−0.943673 + 0.330880i \(0.892655\pi\)
\(684\) −14.2381 5.36917i −0.544406 0.205295i
\(685\) 3.75366 5.38585i 0.143420 0.205783i
\(686\) 8.24961 11.3546i 0.314971 0.433521i
\(687\) −40.6365 + 9.88303i −1.55038 + 0.377061i
\(688\) 0.163764 + 0.0438805i 0.00624346 + 0.00167293i
\(689\) −1.80640 + 17.1867i −0.0688182 + 0.654762i
\(690\) 17.4414 15.5916i 0.663984 0.593561i
\(691\) −0.0627116 0.596661i −0.00238566 0.0226981i 0.993264 0.115871i \(-0.0369658\pi\)
−0.995650 + 0.0931726i \(0.970299\pi\)
\(692\) −7.09682 0.371928i −0.269781 0.0141386i
\(693\) 55.6803 + 24.3973i 2.11512 + 0.926776i
\(694\) −0.315707 1.48529i −0.0119841 0.0563807i
\(695\) 4.13157 3.48224i 0.156719 0.132089i
\(696\) 10.6453 + 5.03901i 0.403510 + 0.191003i
\(697\) 14.8624 29.1690i 0.562952 1.10486i
\(698\) 7.22789 14.1855i 0.273580 0.536930i
\(699\) −20.3840 9.64883i −0.770992 0.364952i
\(700\) −15.3016 14.1441i −0.578344 0.534598i
\(701\) −2.18957 10.3011i −0.0826990 0.389068i 0.917258 0.398293i \(-0.130397\pi\)
−0.999957 + 0.00922425i \(0.997064\pi\)
\(702\) 6.81586 14.6219i 0.257248 0.551867i
\(703\) 56.0561 + 2.93777i 2.11419 + 0.110800i
\(704\) 0.508252 + 4.83570i 0.0191555 + 0.182252i
\(705\) −1.34969 + 24.1015i −0.0508324 + 0.907714i
\(706\) −3.01117 + 28.6494i −0.113327 + 1.07823i
\(707\) 21.2314 + 5.68893i 0.798489 + 0.213954i
\(708\) 12.1769 2.96150i 0.457638 0.111300i
\(709\) −29.8707 + 41.1134i −1.12182 + 1.54405i −0.319067 + 0.947732i \(0.603369\pi\)
−0.802750 + 0.596316i \(0.796631\pi\)
\(710\) −2.62232 1.82763i −0.0984140 0.0685895i
\(711\) −4.07319 + 10.8014i −0.152757 + 0.405083i
\(712\) −3.85178 3.85178i −0.144352 0.144352i
\(713\) 7.00037 32.8950i 0.262166 1.23193i
\(714\) −1.11258 + 47.8947i −0.0416373 + 1.79241i
\(715\) 33.1496 + 6.36831i 1.23972 + 0.238161i
\(716\) 9.63810 + 8.67819i 0.360193 + 0.324319i
\(717\) 7.71343 1.03868i 0.288063 0.0387904i
\(718\) −5.51586 20.5855i −0.205850 0.768243i
\(719\) 16.1756 + 28.0170i 0.603250 + 1.04486i 0.992325 + 0.123653i \(0.0394611\pi\)
−0.389076 + 0.921206i \(0.627206\pi\)
\(720\) −4.61457 4.86886i −0.171975 0.181452i
\(721\) 14.0998 10.2441i 0.525102 0.381509i
\(722\) 5.22849 + 4.23395i 0.194584 + 0.157571i
\(723\) 30.4447 + 2.30556i 1.13225 + 0.0857449i
\(724\) 4.77092 + 10.7157i 0.177310 + 0.398244i
\(725\) −15.0380 30.4928i −0.558499 1.13248i
\(726\) −5.04884 + 21.3071i −0.187380 + 0.790779i
\(727\) −14.3166 37.2961i −0.530975 1.38324i −0.892573 0.450903i \(-0.851102\pi\)
0.361598 0.932334i \(-0.382231\pi\)
\(728\) 5.87403 11.5284i 0.217706 0.427272i
\(729\) −26.5885 + 4.69576i −0.984760 + 0.173917i
\(730\) 6.53919 3.49534i 0.242026 0.129368i
\(731\) −0.233952 + 1.10066i −0.00865302 + 0.0407093i
\(732\) −8.96542 6.12284i −0.331371 0.226307i
\(733\) 3.13095 8.15639i 0.115644 0.301263i −0.863526 0.504304i \(-0.831749\pi\)
0.979170 + 0.203041i \(0.0650824\pi\)
\(734\) −10.1834 11.3098i −0.375875 0.417451i
\(735\) −39.3064 + 8.20778i −1.44984 + 0.302748i
\(736\) 4.88680 3.55047i 0.180130 0.130872i
\(737\) −32.9124 40.6434i −1.21234 1.49712i
\(738\) 14.1001 + 4.48946i 0.519032 + 0.165259i
\(739\) 2.88409 + 1.66513i 0.106093 + 0.0612527i 0.552108 0.833773i \(-0.313824\pi\)
−0.446015 + 0.895026i \(0.647157\pi\)
\(740\) 21.6694 + 11.9496i 0.796583 + 0.439275i
\(741\) −18.7170 + 19.8407i −0.687586 + 0.728865i
\(742\) 20.6687 10.5312i 0.758773 0.386614i
\(743\) −3.33428 3.33428i −0.122323 0.122323i 0.643295 0.765618i \(-0.277567\pi\)
−0.765618 + 0.643295i \(0.777567\pi\)
\(744\) −9.48690 1.73169i −0.347807 0.0634869i
\(745\) 29.7312 + 23.1239i 1.08927 + 0.847193i
\(746\) −12.1246 3.93953i −0.443914 0.144236i
\(747\) −0.0176278 2.98329i −0.000644966 0.109153i
\(748\) −31.8740 + 5.04835i −1.16543 + 0.184586i
\(749\) 19.5643 33.8864i 0.714866 1.23818i
\(750\) 1.70315 + 19.2899i 0.0621904 + 0.704367i
\(751\) −0.0628803 + 0.598266i −0.00229453 + 0.0218310i −0.995609 0.0936067i \(-0.970160\pi\)
0.993315 + 0.115438i \(0.0368271\pi\)
\(752\) −0.975012 + 6.15599i −0.0355550 + 0.224486i
\(753\) 13.8381 16.2996i 0.504288 0.593990i
\(754\) 15.6889 14.1263i 0.571355 0.514450i
\(755\) 42.0745 + 10.3925i 1.53125 + 0.378223i
\(756\) −21.4436 + 3.01669i −0.779897 + 0.109716i
\(757\) −19.4578 29.9624i −0.707205 1.08900i −0.991480 0.130258i \(-0.958419\pi\)
0.284275 0.958743i \(-0.408247\pi\)
\(758\) 7.11192 + 18.5272i 0.258317 + 0.672938i
\(759\) 48.7335 14.5923i 1.76891 0.529665i
\(760\) 4.81580 + 10.2687i 0.174687 + 0.372487i
\(761\) −8.43288 + 18.9406i −0.305692 + 0.686595i −0.999434 0.0336283i \(-0.989294\pi\)
0.693743 + 0.720223i \(0.255960\pi\)
\(762\) 14.5094 8.95043i 0.525619 0.324240i
\(763\) 14.1980 21.8631i 0.514004 0.791496i
\(764\) 5.57040 2.48010i 0.201530 0.0897269i
\(765\) 30.6674 32.2761i 1.10878 1.16695i
\(766\) 1.44137 + 13.7137i 0.0520788 + 0.495497i
\(767\) 3.51404 22.1868i 0.126884 0.801117i
\(768\) −1.05846 1.37101i −0.0381939 0.0494720i
\(769\) 33.0724 19.0943i 1.19262 0.688559i 0.233720 0.972304i \(-0.424910\pi\)
0.958900 + 0.283745i \(0.0915768\pi\)
\(770\) −17.0657 41.9742i −0.615005 1.51264i
\(771\) 21.5815 28.2982i 0.777237 1.01914i
\(772\) 21.9035 1.14791i 0.788324 0.0413143i
\(773\) −16.1318 + 8.21957i −0.580221 + 0.295637i −0.719362 0.694635i \(-0.755566\pi\)
0.139141 + 0.990273i \(0.455566\pi\)
\(774\) −0.508075 0.0236176i −0.0182624 0.000848919i
\(775\) 18.3507 + 20.9345i 0.659176 + 0.751988i
\(776\) 4.90349i 0.176025i
\(777\) 71.9985 34.6030i 2.58293 1.24138i
\(778\) 1.42886 + 27.2643i 0.0512271 + 0.977472i
\(779\) −20.2408 14.7058i −0.725203 0.526891i
\(780\) −11.2411 + 4.26892i −0.402496 + 0.152852i
\(781\) −3.47526 6.01932i −0.124354 0.215388i
\(782\) 25.2296 + 31.1560i 0.902210 + 1.11414i
\(783\) −34.4287 7.94353i −1.23038 0.283879i
\(784\) −10.3110 + 1.08373i −0.368249 + 0.0387045i
\(785\) 34.8144 40.2270i 1.24258 1.43576i
\(786\) 25.9532 10.8401i 0.925720 0.386654i
\(787\) 16.0933 + 10.4511i 0.573664 + 0.372542i 0.798628 0.601825i \(-0.205560\pi\)
−0.224963 + 0.974367i \(0.572226\pi\)
\(788\) 6.10892 + 9.40691i 0.217621 + 0.335107i
\(789\) −3.12893 1.48109i −0.111393 0.0527283i
\(790\) 7.79013 3.65339i 0.277161 0.129982i
\(791\) −31.1441 + 10.1193i −1.10736 + 0.359802i
\(792\) −4.58952 13.8462i −0.163082 0.492003i
\(793\) −16.3210 + 10.5990i −0.579575 + 0.376380i
\(794\) −11.9167 + 2.53297i −0.422907 + 0.0898917i
\(795\) −20.8032 5.65415i −0.737814 0.200532i
\(796\) −2.55614 2.83888i −0.0905998 0.100621i
\(797\) 21.9237 + 17.7535i 0.776579 + 0.628861i 0.933429 0.358761i \(-0.116801\pi\)
−0.156850 + 0.987622i \(0.550134\pi\)
\(798\) 36.0194 + 6.56578i 1.27507 + 0.232426i
\(799\) −41.1400 4.32399i −1.45543 0.152972i
\(800\) −0.0653642 + 4.99957i −0.00231098 + 0.176762i
\(801\) 13.7577 + 8.81921i 0.486104 + 0.311611i
\(802\) 3.07688 + 19.4267i 0.108648 + 0.685979i
\(803\) 16.1013 0.843832i 0.568202 0.0297782i
\(804\) 17.5793 + 6.16677i 0.619975 + 0.217485i
\(805\) −34.5578 + 44.4322i −1.21800 + 1.56603i
\(806\) −9.41823 + 14.4951i −0.331743 + 0.510569i
\(807\) −2.22317 + 2.12223i −0.0782593 + 0.0747060i
\(808\) −2.39447 4.69941i −0.0842371 0.165325i
\(809\) −8.41935 + 9.35064i −0.296009 + 0.328751i −0.872742 0.488181i \(-0.837660\pi\)
0.576734 + 0.816932i \(0.304327\pi\)
\(810\) 16.6452 + 11.3110i 0.584852 + 0.397427i
\(811\) −15.9077 + 27.5530i −0.558596 + 0.967516i 0.439018 + 0.898478i \(0.355326\pi\)
−0.997614 + 0.0690382i \(0.978007\pi\)
\(812\) −27.3726 7.33447i −0.960591 0.257389i
\(813\) −9.78533 12.6748i −0.343186 0.444524i
\(814\) 31.6286 + 43.5330i 1.10858 + 1.52583i
\(815\) −4.22833 18.1336i −0.148112 0.635193i
\(816\) 8.71925 7.49160i 0.305235 0.262259i
\(817\) 0.802840 + 0.308181i 0.0280878 + 0.0107819i
\(818\) 24.9308 + 16.1903i 0.871685 + 0.566079i
\(819\) −9.82461 + 37.5521i −0.343300 + 1.31218i
\(820\) −5.19933 9.72707i −0.181569 0.339684i
\(821\) 1.03715 0.336991i 0.0361968 0.0117611i −0.290863 0.956765i \(-0.593942\pi\)
0.327059 + 0.945004i \(0.393942\pi\)
\(822\) −2.41320 + 4.47604i −0.0841699 + 0.156120i
\(823\) −40.5389 + 15.5614i −1.41310 + 0.542437i −0.940788 0.338996i \(-0.889913\pi\)
−0.472309 + 0.881433i \(0.656579\pi\)
\(824\) −4.09059 0.869482i −0.142503 0.0302898i
\(825\) −14.4572 + 39.5495i −0.503335 + 1.37694i
\(826\) −27.5460 + 12.2643i −0.958447 + 0.426728i
\(827\) −14.2070 0.744559i −0.494027 0.0258908i −0.196304 0.980543i \(-0.562894\pi\)
−0.297723 + 0.954652i \(0.596227\pi\)
\(828\) −12.0457 + 13.5381i −0.418617 + 0.470483i
\(829\) 13.0540 + 17.9673i 0.453384 + 0.624030i 0.973120 0.230297i \(-0.0739698\pi\)
−0.519736 + 0.854327i \(0.673970\pi\)
\(830\) −1.54117 + 1.60294i −0.0534948 + 0.0556388i
\(831\) −1.85520 3.39291i −0.0643562 0.117699i
\(832\) −2.99890 + 0.803552i −0.103968 + 0.0278581i
\(833\) −10.7644 67.9637i −0.372964 2.35480i
\(834\) −2.87205 + 3.04448i −0.0994511 + 0.105422i
\(835\) 1.27718 6.64822i 0.0441986 0.230071i
\(836\) 24.6630i 0.852988i
\(837\) 28.9134 1.00662i 0.999395 0.0347940i
\(838\) 22.9069 22.9069i 0.791306 0.791306i
\(839\) −9.99167 + 30.7512i −0.344951 + 1.06165i 0.616660 + 0.787230i \(0.288486\pi\)
−0.961610 + 0.274419i \(0.911514\pi\)
\(840\) 13.0239 + 9.53388i 0.449367 + 0.328950i
\(841\) −13.9460 10.1324i −0.480897 0.349392i
\(842\) 9.90843 + 36.9788i 0.341467 + 1.27437i
\(843\) 0.577034 1.96938i 0.0198741 0.0678292i
\(844\) −12.6297 1.32743i −0.434731 0.0456921i
\(845\) 0.245829 7.51124i 0.00845679 0.258394i
\(846\) −1.08890 18.6664i −0.0374372 0.641765i
\(847\) 2.75739 52.6140i 0.0947449 1.80784i
\(848\) −5.19652 1.99476i −0.178449 0.0685003i
\(849\) −6.05535 32.1415i −0.207819 1.10309i
\(850\) −33.1594 + 1.30339i −1.13736 + 0.0447060i
\(851\) 27.1892 61.0680i 0.932035 2.09339i
\(852\) 2.17934 + 1.17496i 0.0746631 + 0.0402536i
\(853\) 13.5086 + 6.88298i 0.462526 + 0.235669i 0.669695 0.742636i \(-0.266425\pi\)
−0.207169 + 0.978305i \(0.566425\pi\)
\(854\) 23.8638 + 10.6248i 0.816602 + 0.363575i
\(855\) −20.6966 27.0074i −0.707809 0.923635i
\(856\) −9.18391 + 1.95210i −0.313900 + 0.0667214i
\(857\) −8.49788 + 22.1377i −0.290282 + 0.756210i 0.708445 + 0.705766i \(0.249397\pi\)
−0.998727 + 0.0504441i \(0.983936\pi\)
\(858\) −26.0724 1.97446i −0.890097 0.0674068i
\(859\) 20.4210 2.14633i 0.696756 0.0732320i 0.250472 0.968124i \(-0.419414\pi\)
0.446283 + 0.894892i \(0.352747\pi\)
\(860\) 0.259156 + 0.276694i 0.00883715 + 0.00943517i
\(861\) −35.3132 4.54298i −1.20347 0.154824i
\(862\) −0.496589 + 1.85330i −0.0169139 + 0.0631235i
\(863\) 9.43300 2.52757i 0.321103 0.0860393i −0.0946672 0.995509i \(-0.530179\pi\)
0.415770 + 0.909470i \(0.363512\pi\)
\(864\) 3.98094 + 3.33948i 0.135434 + 0.113611i
\(865\) −13.0369 9.08603i −0.443267 0.308934i
\(866\) 16.1477 + 5.24672i 0.548722 + 0.178291i
\(867\) 32.3508 + 33.8896i 1.09869 + 1.15095i
\(868\) 23.2035 + 0.00561785i 0.787577 + 0.000190682i
\(869\) 18.7100 0.634693
\(870\) 14.2643 + 22.1383i 0.483604 + 0.750558i
\(871\) 22.3445 24.8161i 0.757115 0.840862i
\(872\) −6.17828 + 0.978543i −0.209223 + 0.0331377i
\(873\) −3.14344 14.3707i −0.106389 0.486374i
\(874\) 26.5338 15.3193i 0.897519 0.518183i
\(875\) −12.3548 44.9258i −0.417667 1.51877i
\(876\) −4.72368 + 3.26709i −0.159598 + 0.110385i
\(877\) 7.97104 9.84342i 0.269163 0.332389i −0.624586 0.780956i \(-0.714732\pi\)
0.893749 + 0.448567i \(0.148066\pi\)
\(878\) −0.441032 + 8.41539i −0.0148841 + 0.284006i
\(879\) −38.6398 + 16.1390i −1.30329 + 0.544356i
\(880\) −4.74478 + 9.78256i −0.159946 + 0.329770i
\(881\) −8.41789 + 39.6030i −0.283606 + 1.33426i 0.573536 + 0.819180i \(0.305571\pi\)
−0.857142 + 0.515080i \(0.827762\pi\)
\(882\) 29.5237 9.78607i 0.994115 0.329514i
\(883\) −47.4223 24.1629i −1.59589 0.813146i −0.999949 0.0101170i \(-0.996780\pi\)
−0.595940 0.803029i \(-0.703220\pi\)
\(884\) −6.36755 19.5973i −0.214164 0.659128i
\(885\) 26.6195 + 8.75474i 0.894804 + 0.294287i
\(886\) 23.4081 + 4.97554i 0.786410 + 0.167157i
\(887\) 18.5849 28.6182i 0.624018 0.960904i −0.375402 0.926862i \(-0.622495\pi\)
0.999420 0.0340418i \(-0.0108379\pi\)
\(888\) −17.7305 7.28293i −0.594998 0.244399i
\(889\) −30.4829 + 27.4470i −1.02236 + 0.920541i
\(890\) −2.76598 11.8622i −0.0927159 0.397622i
\(891\) 22.3268 + 37.6369i 0.747977 + 1.26088i
\(892\) −11.0718 + 8.96575i −0.370711 + 0.300195i
\(893\) −8.18230 + 30.5368i −0.273810 + 1.02187i
\(894\) −24.9209 15.1705i −0.833480 0.507376i
\(895\) 8.05461 + 27.8593i 0.269236 + 0.931235i
\(896\) 3.09703 + 2.78858i 0.103465 + 0.0931599i
\(897\) 14.0705 + 29.2765i 0.469800 + 0.977514i
\(898\) −1.31360 + 1.31360i −0.0438356 + 0.0438356i
\(899\) 35.3421 + 13.5764i 1.17873 + 0.452798i
\(900\) −3.01348 14.6942i −0.100449 0.489806i
\(901\) 11.4160 35.1349i 0.380323 1.17051i
\(902\) −1.25520 23.9507i −0.0417937 0.797471i
\(903\) 1.21285 0.163321i 0.0403610 0.00543499i
\(904\) 6.80499 + 3.92886i 0.226331 + 0.130672i
\(905\) −3.59341 + 25.9812i −0.119449 + 0.863644i
\(906\) −33.2958 4.28344i −1.10618 0.142308i
\(907\) 51.5433 + 8.16366i 1.71147 + 0.271070i 0.933849 0.357667i \(-0.116428\pi\)
0.777618 + 0.628737i \(0.216428\pi\)
\(908\) 8.98036 11.0898i 0.298024 0.368028i
\(909\) 10.0301 + 12.2376i 0.332678 + 0.405895i
\(910\) 24.7667 14.9552i 0.821007 0.495761i
\(911\) 7.40914 + 34.8573i 0.245476 + 1.15487i 0.912257 + 0.409619i \(0.134338\pi\)
−0.666781 + 0.745254i \(0.732328\pi\)
\(912\) −4.61247 7.47720i −0.152734 0.247595i
\(913\) −4.51417 + 1.73283i −0.149397 + 0.0573482i
\(914\) 10.9060 + 33.5653i 0.360740 + 1.11024i
\(915\) −9.79456 22.2127i −0.323798 0.734331i
\(916\) −22.0579 9.82082i −0.728814 0.324489i
\(917\) −56.7560 + 36.8578i −1.87425 + 1.21715i
\(918\) −20.7510 + 27.5453i −0.684884 + 0.909130i
\(919\) 9.44272 + 21.2087i 0.311487 + 0.699611i 0.999664 0.0259323i \(-0.00825543\pi\)
−0.688177 + 0.725543i \(0.741589\pi\)
\(920\) 13.4718 0.971692i 0.444152 0.0320357i
\(921\) 1.17882 + 14.4330i 0.0388433 + 0.475583i
\(922\) −14.8640 2.35423i −0.489521 0.0775326i
\(923\) 3.44899 2.79294i 0.113525 0.0919308i
\(924\) 16.8382 + 30.7948i 0.553935 + 1.01307i
\(925\) 27.0378 + 48.2777i 0.888999 + 1.58736i
\(926\) −10.0718 + 13.8626i −0.330980 + 0.455555i
\(927\) 12.5457 0.0741307i 0.412055 0.00243477i
\(928\) 3.08708 + 6.05873i 0.101338 + 0.198887i
\(929\) 19.4895 0.639430 0.319715 0.947514i \(-0.396413\pi\)
0.319715 + 0.947514i \(0.396413\pi\)
\(930\) −15.9698 14.4902i −0.523669 0.475153i
\(931\) −52.5880 −1.72350
\(932\) −5.91121 11.6014i −0.193628 0.380017i
\(933\) −23.8923 + 0.696284i −0.782200 + 0.0227953i
\(934\) 4.71643 6.49160i 0.154326 0.212412i
\(935\) −66.4860 28.0500i −2.17432 0.917331i
\(936\) 8.27376 4.27746i 0.270436 0.139813i
\(937\) −3.66031 + 2.96406i −0.119577 + 0.0968316i −0.687244 0.726427i \(-0.741180\pi\)
0.567667 + 0.823258i \(0.307846\pi\)
\(938\) −44.2725 7.01208i −1.44555 0.228953i
\(939\) −19.8800 + 1.62370i −0.648758 + 0.0529874i
\(940\) −9.12030 + 10.5382i −0.297471 + 0.343719i
\(941\) 5.36463 + 12.0491i 0.174882 + 0.392791i 0.979626 0.200831i \(-0.0643642\pi\)
−0.804744 + 0.593622i \(0.797697\pi\)
\(942\) −23.2404 + 34.0299i −0.757213 + 1.10876i
\(943\) −24.9878 + 16.2273i −0.813714 + 0.528432i
\(944\) 6.60977 + 2.94286i 0.215130 + 0.0957819i
\(945\) −44.2810 19.5919i −1.44046 0.637323i
\(946\) 0.254743 + 0.784019i 0.00828242 + 0.0254907i
\(947\) 35.9817 13.8121i 1.16925 0.448833i 0.305224 0.952281i \(-0.401269\pi\)
0.864025 + 0.503448i \(0.167935\pi\)
\(948\) −5.67240 + 3.49914i −0.184231 + 0.113647i
\(949\) 2.14046 + 10.0701i 0.0694824 + 0.326889i
\(950\) −2.98048 + 25.1856i −0.0966995 + 0.817127i
\(951\) −22.6562 + 19.4662i −0.734676 + 0.631236i
\(952\) −17.4067 + 21.4955i −0.564154 + 0.696672i
\(953\) −29.9957 4.75086i −0.971658 0.153895i −0.349627 0.936889i \(-0.613692\pi\)
−0.622030 + 0.782993i \(0.713692\pi\)
\(954\) 16.5082 + 2.51475i 0.534474 + 0.0814181i
\(955\) 13.5060 + 1.86799i 0.437044 + 0.0604467i
\(956\) 3.89153 + 2.24677i 0.125861 + 0.0726658i
\(957\) 7.64258 + 56.7549i 0.247049 + 1.83463i
\(958\) 2.00942 + 38.3420i 0.0649214 + 1.23877i
\(959\) 3.78090 11.6364i 0.122092 0.375759i
\(960\) −0.391037 3.85319i −0.0126207 0.124361i
\(961\) −30.8286 3.25531i −0.994471 0.105010i
\(962\) −24.2951 + 24.2951i −0.783307 + 0.783307i
\(963\) 25.6639 11.6085i 0.827008 0.374079i
\(964\) 13.0998 + 11.7951i 0.421917 + 0.379896i
\(965\) 42.9476 + 23.6834i 1.38253 + 0.762397i
\(966\) 22.6717 37.2434i 0.729450 1.19829i
\(967\) −6.14921 + 22.9492i −0.197745 + 0.737996i 0.793794 + 0.608187i \(0.208103\pi\)
−0.991539 + 0.129809i \(0.958564\pi\)
\(968\) −9.82489 + 7.95604i −0.315784 + 0.255717i
\(969\) 47.9560 33.1683i 1.54057 1.06552i
\(970\) −5.78994 + 9.31115i −0.185904 + 0.298963i
\(971\) −27.3406 + 24.6176i −0.877401 + 0.790016i −0.978797 0.204830i \(-0.934336\pi\)
0.101396 + 0.994846i \(0.467669\pi\)
\(972\) −13.8078 7.23500i −0.442885 0.232063i
\(973\) 5.48475 8.44577i 0.175833 0.270759i
\(974\) 4.17319 + 0.887038i 0.133718 + 0.0284225i
\(975\) −26.3862 5.16709i −0.845035 0.165479i
\(976\) −1.93695 5.96133i −0.0620004 0.190818i
\(977\) −27.0313 13.7731i −0.864807 0.440641i −0.0354577 0.999371i \(-0.511289\pi\)
−0.829350 + 0.558730i \(0.811289\pi\)
\(978\) 4.85466 + 13.5815i 0.155235 + 0.434288i
\(979\) 5.50681 25.9075i 0.175999 0.828008i
\(980\) −20.8590 10.1171i −0.666316 0.323179i
\(981\) 17.4794 6.82849i 0.558075 0.218017i
\(982\) 1.21790 23.2390i 0.0388648 0.741585i
\(983\) 0.287728 0.355314i 0.00917708 0.0113328i −0.772537 0.634970i \(-0.781012\pi\)
0.781714 + 0.623637i \(0.214346\pi\)
\(984\) 4.85980 + 7.02650i 0.154925 + 0.223997i
\(985\) 0.492638 + 25.0759i 0.0156967 + 0.798985i
\(986\) −39.0844 + 22.5654i −1.24470 + 0.718628i
\(987\) 10.6318 + 43.7151i 0.338413 + 1.39147i
\(988\) −15.5539 + 2.46349i −0.494835 + 0.0783742i
\(989\) 0.685257 0.761055i 0.0217899 0.0242001i
\(990\) 7.63432 31.7115i 0.242635 1.00786i
\(991\) 10.8260 0.343900 0.171950 0.985106i \(-0.444993\pi\)
0.171950 + 0.985106i \(0.444993\pi\)
\(992\) −3.72456 4.13856i −0.118255 0.131399i
\(993\) −22.5950 + 21.5691i −0.717031 + 0.684474i
\(994\) −5.66566 1.84089i −0.179704 0.0583893i
\(995\) −1.50172 8.40893i −0.0476076 0.266581i
\(996\) 1.04451 1.36959i 0.0330965 0.0433971i
\(997\) 6.07190 1.62696i 0.192299 0.0515264i −0.161384 0.986892i \(-0.551596\pi\)
0.353683 + 0.935365i \(0.384929\pi\)
\(998\) 2.39274 8.92981i 0.0757408 0.282668i
\(999\) 56.6318 + 9.97775i 1.79175 + 0.315682i
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 930.2.bs.a.107.18 1024
3.2 odd 2 inner 930.2.bs.a.107.49 yes 1024
5.3 odd 4 inner 930.2.bs.a.293.2 yes 1024
15.8 even 4 inner 930.2.bs.a.293.33 yes 1024
31.20 even 15 inner 930.2.bs.a.857.33 yes 1024
93.20 odd 30 inner 930.2.bs.a.857.2 yes 1024
155.113 odd 60 inner 930.2.bs.a.113.49 yes 1024
465.113 even 60 inner 930.2.bs.a.113.18 yes 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bs.a.107.18 1024 1.1 even 1 trivial
930.2.bs.a.107.49 yes 1024 3.2 odd 2 inner
930.2.bs.a.113.18 yes 1024 465.113 even 60 inner
930.2.bs.a.113.49 yes 1024 155.113 odd 60 inner
930.2.bs.a.293.2 yes 1024 5.3 odd 4 inner
930.2.bs.a.293.33 yes 1024 15.8 even 4 inner
930.2.bs.a.857.2 yes 1024 93.20 odd 30 inner
930.2.bs.a.857.33 yes 1024 31.20 even 15 inner