Properties

Label 231.2.ba.a.19.16
Level $231$
Weight $2$
Character 231.19
Analytic conductor $1.845$
Analytic rank $0$
Dimension $128$
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] = [231,2,Mod(19,231)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(231, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 25, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("231.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 231 = 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 231.ba (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.84454428669\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 19.16
Character \(\chi\) \(=\) 231.19
Dual form 231.2.ba.a.73.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.65417 - 0.278965i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(5.01052 - 1.06502i) q^{4} +(-0.0958279 - 0.215233i) q^{5} +(-2.15910 - 1.56868i) q^{6} +(-2.64356 - 0.107664i) q^{7} +(7.92533 - 2.57510i) q^{8} +(0.104528 + 0.994522i) q^{9} +O(q^{10})\) \(q+(2.65417 - 0.278965i) q^{2} +(-0.743145 - 0.669131i) q^{3} +(5.01052 - 1.06502i) q^{4} +(-0.0958279 - 0.215233i) q^{5} +(-2.15910 - 1.56868i) q^{6} +(-2.64356 - 0.107664i) q^{7} +(7.92533 - 2.57510i) q^{8} +(0.104528 + 0.994522i) q^{9} +(-0.314386 - 0.544533i) q^{10} +(-1.24906 + 3.07243i) q^{11} +(-4.43618 - 2.56123i) q^{12} +(-3.01526 + 2.19072i) q^{13} +(-7.04650 + 0.451703i) q^{14} +(-0.0728050 + 0.224071i) q^{15} +(10.9577 - 4.87866i) q^{16} +(0.401870 - 3.82354i) q^{17} +(0.554873 + 2.61047i) q^{18} +(4.68129 + 0.995039i) q^{19} +(-0.709375 - 0.976371i) q^{20} +(1.89251 + 1.84890i) q^{21} +(-2.45813 + 8.50321i) q^{22} +(-2.07688 + 3.59726i) q^{23} +(-7.61275 - 3.38941i) q^{24} +(3.30851 - 3.67447i) q^{25} +(-7.39189 + 6.65569i) q^{26} +(0.587785 - 0.809017i) q^{27} +(-13.3603 + 2.27599i) q^{28} +(-3.14773 - 1.02276i) q^{29} +(-0.130729 + 0.615033i) q^{30} +(-3.04239 + 6.83333i) q^{31} +(13.2890 - 7.67242i) q^{32} +(2.98409 - 1.44748i) q^{33} -10.2604i q^{34} +(0.230154 + 0.579299i) q^{35} +(1.58293 + 4.87175i) q^{36} +(-2.80574 - 3.11609i) q^{37} +(12.7025 + 1.33509i) q^{38} +(3.70665 + 0.389585i) q^{39} +(-1.31371 - 1.45903i) q^{40} +(-1.45611 - 4.48144i) q^{41} +(5.53882 + 4.37935i) q^{42} -10.6448i q^{43} +(-2.98626 + 16.7248i) q^{44} +(0.204037 - 0.117801i) q^{45} +(-4.50889 + 10.1271i) q^{46} +(-0.775630 + 3.64905i) q^{47} +(-11.4076 - 3.70655i) q^{48} +(6.97682 + 0.569230i) q^{49} +(7.75631 - 10.6756i) q^{50} +(-2.85709 + 2.57254i) q^{51} +(-12.7749 + 14.1879i) q^{52} +(-5.81868 - 2.59064i) q^{53} +(1.33440 - 2.31124i) q^{54} +(0.780984 - 0.0255852i) q^{55} +(-21.2283 + 5.95415i) q^{56} +(-2.81307 - 3.87185i) q^{57} +(-8.63995 - 1.83648i) q^{58} +(0.532560 + 2.50550i) q^{59} +(-0.126151 + 1.20025i) q^{60} +(6.48807 - 2.88867i) q^{61} +(-6.16878 + 18.9856i) q^{62} +(-0.169254 - 2.64033i) q^{63} +(13.7233 - 9.97055i) q^{64} +(0.760461 + 0.439052i) q^{65} +(7.51651 - 4.67431i) q^{66} +(5.39141 + 9.33820i) q^{67} +(-2.05856 - 19.5859i) q^{68} +(3.95046 - 1.28358i) q^{69} +(0.772473 + 1.47335i) q^{70} +(-2.72196 - 1.97762i) q^{71} +(3.38941 + 7.61275i) q^{72} +(12.0098 - 2.55276i) q^{73} +(-8.31619 - 7.48793i) q^{74} +(-4.91741 + 0.516840i) q^{75} +24.5154 q^{76} +(3.63276 - 7.98768i) q^{77} +9.94677 q^{78} +(10.9330 - 1.14910i) q^{79} +(-2.10010 - 1.89094i) q^{80} +(-0.978148 + 0.207912i) q^{81} +(-5.11493 - 11.4883i) q^{82} +(-12.9336 - 9.39678i) q^{83} +(11.4515 + 7.24837i) q^{84} +(-0.861462 + 0.279906i) q^{85} +(-2.96953 - 28.2532i) q^{86} +(1.65486 + 2.86631i) q^{87} +(-1.98743 + 27.5665i) q^{88} +(-7.15365 - 4.13016i) q^{89} +(0.508688 - 0.369583i) q^{90} +(8.20688 - 5.46665i) q^{91} +(-6.57510 + 20.2361i) q^{92} +(6.83333 - 3.04239i) q^{93} +(-1.04070 + 9.90159i) q^{94} +(-0.234433 - 1.10292i) q^{95} +(-15.0095 - 3.19037i) q^{96} +(1.40251 + 1.93039i) q^{97} +(18.6765 - 0.435452i) q^{98} +(-3.18616 - 0.921064i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9} - 2 q^{11} + 12 q^{14} + 12 q^{15} + 40 q^{16} - 60 q^{17} - 10 q^{18} + 52 q^{22} - 24 q^{23} - 90 q^{24} - 20 q^{25} + 24 q^{26} + 30 q^{28} + 40 q^{29} - 18 q^{31} + 18 q^{33} - 80 q^{35} - 24 q^{36} - 8 q^{37} - 24 q^{38} - 90 q^{40} + 14 q^{42} - 82 q^{44} + 12 q^{45} + 70 q^{46} - 24 q^{47} - 94 q^{49} - 20 q^{51} + 4 q^{53} - 104 q^{56} - 32 q^{58} + 48 q^{59} + 30 q^{61} - 10 q^{63} - 48 q^{64} + 36 q^{66} - 40 q^{67} + 180 q^{68} + 146 q^{70} - 32 q^{71} + 10 q^{72} + 90 q^{73} + 40 q^{74} - 24 q^{75} - 72 q^{78} + 50 q^{79} + 228 q^{80} + 16 q^{81} + 168 q^{82} - 60 q^{84} - 20 q^{85} + 146 q^{86} + 16 q^{88} + 48 q^{91} - 204 q^{92} + 44 q^{93} + 10 q^{95} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.65417 0.278965i 1.87678 0.197258i 0.903772 0.428014i \(-0.140787\pi\)
0.973012 + 0.230756i \(0.0741199\pi\)
\(3\) −0.743145 0.669131i −0.429055 0.386323i
\(4\) 5.01052 1.06502i 2.50526 0.532509i
\(5\) −0.0958279 0.215233i −0.0428556 0.0962552i 0.890849 0.454299i \(-0.150110\pi\)
−0.933705 + 0.358044i \(0.883444\pi\)
\(6\) −2.15910 1.56868i −0.881448 0.640410i
\(7\) −2.64356 0.107664i −0.999172 0.0406930i
\(8\) 7.92533 2.57510i 2.80203 0.910434i
\(9\) 0.104528 + 0.994522i 0.0348428 + 0.331507i
\(10\) −0.314386 0.544533i −0.0994177 0.172197i
\(11\) −1.24906 + 3.07243i −0.376607 + 0.926373i
\(12\) −4.43618 2.56123i −1.28061 0.739363i
\(13\) −3.01526 + 2.19072i −0.836283 + 0.607595i −0.921330 0.388782i \(-0.872896\pi\)
0.0850470 + 0.996377i \(0.472896\pi\)
\(14\) −7.04650 + 0.451703i −1.88326 + 0.120723i
\(15\) −0.0728050 + 0.224071i −0.0187982 + 0.0578548i
\(16\) 10.9577 4.87866i 2.73941 1.21967i
\(17\) 0.401870 3.82354i 0.0974678 0.927344i −0.831085 0.556145i \(-0.812280\pi\)
0.928553 0.371199i \(-0.121053\pi\)
\(18\) 0.554873 + 2.61047i 0.130785 + 0.615294i
\(19\) 4.68129 + 0.995039i 1.07396 + 0.228278i 0.710761 0.703433i \(-0.248351\pi\)
0.363201 + 0.931711i \(0.381684\pi\)
\(20\) −0.709375 0.976371i −0.158621 0.218323i
\(21\) 1.89251 + 1.84890i 0.412979 + 0.403462i
\(22\) −2.45813 + 8.50321i −0.524075 + 1.81289i
\(23\) −2.07688 + 3.59726i −0.433060 + 0.750081i −0.997135 0.0756420i \(-0.975899\pi\)
0.564075 + 0.825723i \(0.309233\pi\)
\(24\) −7.61275 3.38941i −1.55395 0.691861i
\(25\) 3.30851 3.67447i 0.661702 0.734895i
\(26\) −7.39189 + 6.65569i −1.44967 + 1.30529i
\(27\) 0.587785 0.809017i 0.113119 0.155695i
\(28\) −13.3603 + 2.27599i −2.52485 + 0.430122i
\(29\) −3.14773 1.02276i −0.584520 0.189922i 0.00180464 0.999998i \(-0.499426\pi\)
−0.586324 + 0.810076i \(0.699426\pi\)
\(30\) −0.130729 + 0.615033i −0.0238678 + 0.112289i
\(31\) −3.04239 + 6.83333i −0.546430 + 1.22730i 0.403540 + 0.914962i \(0.367779\pi\)
−0.949970 + 0.312340i \(0.898887\pi\)
\(32\) 13.2890 7.67242i 2.34919 1.35631i
\(33\) 2.98409 1.44748i 0.519464 0.251973i
\(34\) 10.2604i 1.75965i
\(35\) 0.230154 + 0.579299i 0.0389031 + 0.0979193i
\(36\) 1.58293 + 4.87175i 0.263821 + 0.811958i
\(37\) −2.80574 3.11609i −0.461260 0.512281i 0.466977 0.884269i \(-0.345343\pi\)
−0.928238 + 0.371988i \(0.878676\pi\)
\(38\) 12.7025 + 1.33509i 2.06062 + 0.216580i
\(39\) 3.70665 + 0.389585i 0.593539 + 0.0623835i
\(40\) −1.31371 1.45903i −0.207716 0.230693i
\(41\) −1.45611 4.48144i −0.227406 0.699883i −0.998038 0.0626037i \(-0.980060\pi\)
0.770633 0.637280i \(-0.219940\pi\)
\(42\) 5.53882 + 4.37935i 0.854658 + 0.675748i
\(43\) 10.6448i 1.62332i −0.584129 0.811661i \(-0.698564\pi\)
0.584129 0.811661i \(-0.301436\pi\)
\(44\) −2.98626 + 16.7248i −0.450195 + 2.52135i
\(45\) 0.204037 0.117801i 0.0304161 0.0175607i
\(46\) −4.50889 + 10.1271i −0.664800 + 1.49316i
\(47\) −0.775630 + 3.64905i −0.113137 + 0.532269i 0.884678 + 0.466203i \(0.154378\pi\)
−0.997815 + 0.0660663i \(0.978955\pi\)
\(48\) −11.4076 3.70655i −1.64654 0.534994i
\(49\) 6.97682 + 0.569230i 0.996688 + 0.0813186i
\(50\) 7.75631 10.6756i 1.09691 1.50976i
\(51\) −2.85709 + 2.57254i −0.400073 + 0.360227i
\(52\) −12.7749 + 14.1879i −1.77156 + 1.96751i
\(53\) −5.81868 2.59064i −0.799258 0.355852i −0.0338735 0.999426i \(-0.510784\pi\)
−0.765384 + 0.643574i \(0.777451\pi\)
\(54\) 1.33440 2.31124i 0.181588 0.314520i
\(55\) 0.780984 0.0255852i 0.105308 0.00344990i
\(56\) −21.2283 + 5.95415i −2.83676 + 0.795657i
\(57\) −2.81307 3.87185i −0.372600 0.512840i
\(58\) −8.63995 1.83648i −1.13448 0.241141i
\(59\) 0.532560 + 2.50550i 0.0693334 + 0.326188i 0.999122 0.0419071i \(-0.0133434\pi\)
−0.929788 + 0.368095i \(0.880010\pi\)
\(60\) −0.126151 + 1.20025i −0.0162861 + 0.154952i
\(61\) 6.48807 2.88867i 0.830712 0.369857i 0.0530906 0.998590i \(-0.483093\pi\)
0.777621 + 0.628733i \(0.216426\pi\)
\(62\) −6.16878 + 18.9856i −0.783436 + 2.41117i
\(63\) −0.169254 2.64033i −0.0213239 0.332651i
\(64\) 13.7233 9.97055i 1.71541 1.24632i
\(65\) 0.760461 + 0.439052i 0.0943235 + 0.0544577i
\(66\) 7.51651 4.67431i 0.925218 0.575368i
\(67\) 5.39141 + 9.33820i 0.658666 + 1.14084i 0.980961 + 0.194204i \(0.0622123\pi\)
−0.322295 + 0.946639i \(0.604454\pi\)
\(68\) −2.05856 19.5859i −0.249637 2.37514i
\(69\) 3.95046 1.28358i 0.475580 0.154525i
\(70\) 0.772473 + 1.47335i 0.0923282 + 0.176099i
\(71\) −2.72196 1.97762i −0.323037 0.234700i 0.414433 0.910080i \(-0.363980\pi\)
−0.737470 + 0.675380i \(0.763980\pi\)
\(72\) 3.38941 + 7.61275i 0.399446 + 0.897171i
\(73\) 12.0098 2.55276i 1.40564 0.298778i 0.558217 0.829695i \(-0.311486\pi\)
0.847424 + 0.530917i \(0.178152\pi\)
\(74\) −8.31619 7.48793i −0.966737 0.870454i
\(75\) −4.91741 + 0.516840i −0.567813 + 0.0596796i
\(76\) 24.5154 2.81211
\(77\) 3.63276 7.98768i 0.413992 0.910281i
\(78\) 9.94677 1.12625
\(79\) 10.9330 1.14910i 1.23006 0.129284i 0.532884 0.846188i \(-0.321108\pi\)
0.697172 + 0.716904i \(0.254442\pi\)
\(80\) −2.10010 1.89094i −0.234798 0.211413i
\(81\) −0.978148 + 0.207912i −0.108683 + 0.0231013i
\(82\) −5.11493 11.4883i −0.564849 1.26867i
\(83\) −12.9336 9.39678i −1.41964 1.03143i −0.991830 0.127564i \(-0.959284\pi\)
−0.427813 0.903867i \(-0.640716\pi\)
\(84\) 11.4515 + 7.24837i 1.24947 + 0.790862i
\(85\) −0.861462 + 0.279906i −0.0934387 + 0.0303601i
\(86\) −2.96953 28.2532i −0.320213 3.04662i
\(87\) 1.65486 + 2.86631i 0.177420 + 0.307300i
\(88\) −1.98743 + 27.5665i −0.211861 + 2.93860i
\(89\) −7.15365 4.13016i −0.758285 0.437796i 0.0703946 0.997519i \(-0.477574\pi\)
−0.828680 + 0.559723i \(0.810907\pi\)
\(90\) 0.508688 0.369583i 0.0536204 0.0389575i
\(91\) 8.20688 5.46665i 0.860315 0.573061i
\(92\) −6.57510 + 20.2361i −0.685501 + 2.10976i
\(93\) 6.83333 3.04239i 0.708583 0.315482i
\(94\) −1.04070 + 9.90159i −0.107340 + 1.02127i
\(95\) −0.234433 1.10292i −0.0240523 0.113157i
\(96\) −15.0095 3.19037i −1.53190 0.325616i
\(97\) 1.40251 + 1.93039i 0.142404 + 0.196002i 0.874261 0.485456i \(-0.161346\pi\)
−0.731858 + 0.681458i \(0.761346\pi\)
\(98\) 18.6765 0.435452i 1.88661 0.0439873i
\(99\) −3.18616 0.921064i −0.320222 0.0925704i
\(100\) 12.6640 21.9346i 1.26640 2.19346i
\(101\) 15.6287 + 6.95837i 1.55512 + 0.692383i 0.991068 0.133357i \(-0.0425757\pi\)
0.564050 + 0.825740i \(0.309242\pi\)
\(102\) −6.86557 + 7.62499i −0.679793 + 0.754986i
\(103\) 6.34825 5.71599i 0.625511 0.563213i −0.294232 0.955734i \(-0.595064\pi\)
0.919743 + 0.392521i \(0.128397\pi\)
\(104\) −18.2556 + 25.1267i −1.79011 + 2.46388i
\(105\) 0.216589 0.584506i 0.0211369 0.0570419i
\(106\) −16.1665 5.25281i −1.57023 0.510198i
\(107\) −1.16003 + 5.45749i −0.112144 + 0.527596i 0.885832 + 0.464006i \(0.153588\pi\)
−0.997976 + 0.0635899i \(0.979745\pi\)
\(108\) 2.08349 4.67960i 0.200484 0.450294i
\(109\) −10.0052 + 5.77649i −0.958322 + 0.553287i −0.895656 0.444747i \(-0.853293\pi\)
−0.0626655 + 0.998035i \(0.519960\pi\)
\(110\) 2.06573 0.285775i 0.196960 0.0272475i
\(111\) 4.19311i 0.397992i
\(112\) −29.4925 + 11.7173i −2.78678 + 1.10718i
\(113\) −2.07188 6.37658i −0.194906 0.599858i −0.999978 0.00668105i \(-0.997873\pi\)
0.805072 0.593177i \(-0.202127\pi\)
\(114\) −8.54648 9.49182i −0.800451 0.888991i
\(115\) 0.973273 + 0.102295i 0.0907582 + 0.00953907i
\(116\) −16.8610 1.77217i −1.56551 0.164542i
\(117\) −2.49389 2.76975i −0.230561 0.256064i
\(118\) 2.11245 + 6.50146i 0.194467 + 0.598508i
\(119\) −1.47402 + 10.0645i −0.135123 + 0.922610i
\(120\) 1.96332i 0.179225i
\(121\) −7.87968 7.67532i −0.716335 0.697757i
\(122\) 16.4146 9.47698i 1.48611 0.858006i
\(123\) −1.91657 + 4.30469i −0.172811 + 0.388140i
\(124\) −7.96635 + 37.4787i −0.715399 + 3.36569i
\(125\) −2.22827 0.724009i −0.199303 0.0647573i
\(126\) −1.18579 6.96068i −0.105638 0.620107i
\(127\) 3.82996 5.27148i 0.339854 0.467768i −0.604545 0.796571i \(-0.706645\pi\)
0.944399 + 0.328803i \(0.106645\pi\)
\(128\) 10.8357 9.75648i 0.957747 0.862359i
\(129\) −7.12278 + 7.91065i −0.627126 + 0.696494i
\(130\) 2.14087 + 0.953178i 0.187767 + 0.0835993i
\(131\) −3.55659 + 6.16019i −0.310740 + 0.538218i −0.978523 0.206138i \(-0.933910\pi\)
0.667782 + 0.744357i \(0.267244\pi\)
\(132\) 13.4103 10.4307i 1.16721 0.907878i
\(133\) −12.2681 3.13445i −1.06378 0.271791i
\(134\) 16.9148 + 23.2812i 1.46121 + 2.01119i
\(135\) −0.230453 0.0489844i −0.0198343 0.00421591i
\(136\) −6.66102 31.3377i −0.571178 2.68718i
\(137\) −0.0701072 + 0.667025i −0.00598966 + 0.0569878i −0.997108 0.0759916i \(-0.975788\pi\)
0.991119 + 0.132979i \(0.0424544\pi\)
\(138\) 10.1271 4.50889i 0.862079 0.383822i
\(139\) 0.957979 2.94836i 0.0812548 0.250076i −0.902174 0.431373i \(-0.858029\pi\)
0.983428 + 0.181296i \(0.0580294\pi\)
\(140\) 1.77016 + 2.65747i 0.149605 + 0.224597i
\(141\) 3.01810 2.19278i 0.254170 0.184665i
\(142\) −7.77623 4.48961i −0.652567 0.376760i
\(143\) −2.96457 12.0005i −0.247910 1.00353i
\(144\) 5.99732 + 10.3877i 0.499777 + 0.865639i
\(145\) 0.0815089 + 0.775506i 0.00676895 + 0.0644022i
\(146\) 31.1640 10.1258i 2.57915 0.838016i
\(147\) −4.80390 5.09142i −0.396219 0.419933i
\(148\) −17.3769 12.6250i −1.42837 1.03777i
\(149\) 6.79720 + 15.2668i 0.556848 + 1.25070i 0.944383 + 0.328847i \(0.106660\pi\)
−0.387535 + 0.921855i \(0.626673\pi\)
\(150\) −12.9075 + 2.74357i −1.05389 + 0.224011i
\(151\) 2.48002 + 2.23302i 0.201821 + 0.181721i 0.763844 0.645401i \(-0.223310\pi\)
−0.562022 + 0.827122i \(0.689977\pi\)
\(152\) 39.6631 4.16876i 3.21710 0.338131i
\(153\) 3.84460 0.310817
\(154\) 7.41370 22.2141i 0.597413 1.79006i
\(155\) 1.76230 0.141552
\(156\) 18.9871 1.99563i 1.52019 0.159778i
\(157\) 14.5241 + 13.0775i 1.15915 + 1.04370i 0.998391 + 0.0567068i \(0.0180600\pi\)
0.160756 + 0.986994i \(0.448607\pi\)
\(158\) 28.6974 6.09983i 2.28305 0.485276i
\(159\) 2.59064 + 5.81868i 0.205452 + 0.461452i
\(160\) −2.92482 2.12500i −0.231227 0.167996i
\(161\) 5.87765 9.28598i 0.463224 0.731837i
\(162\) −2.53817 + 0.824702i −0.199418 + 0.0647947i
\(163\) 1.31520 + 12.5132i 0.103014 + 0.980113i 0.916908 + 0.399099i \(0.130677\pi\)
−0.813894 + 0.581014i \(0.802656\pi\)
\(164\) −12.0687 20.9036i −0.942405 1.63229i
\(165\) −0.597504 0.503567i −0.0465156 0.0392026i
\(166\) −36.9493 21.3327i −2.86782 1.65574i
\(167\) −5.12519 + 3.72367i −0.396599 + 0.288146i −0.768154 0.640265i \(-0.778825\pi\)
0.371555 + 0.928411i \(0.378825\pi\)
\(168\) 19.7598 + 9.77973i 1.52450 + 0.754523i
\(169\) 0.275343 0.847418i 0.0211802 0.0651860i
\(170\) −2.20839 + 0.983236i −0.169375 + 0.0754108i
\(171\) −0.500260 + 4.75966i −0.0382558 + 0.363980i
\(172\) −11.3369 53.3361i −0.864434 4.06684i
\(173\) 3.32600 + 0.706964i 0.252871 + 0.0537495i 0.332603 0.943067i \(-0.392073\pi\)
−0.0797318 + 0.996816i \(0.525406\pi\)
\(174\) 5.19189 + 7.14602i 0.393596 + 0.541739i
\(175\) −9.14185 + 9.35748i −0.691059 + 0.707359i
\(176\) 1.30256 + 39.7604i 0.0981839 + 2.99705i
\(177\) 1.28074 2.21830i 0.0962661 0.166738i
\(178\) −20.1392 8.96654i −1.50950 0.672071i
\(179\) −7.93608 + 8.81391i −0.593170 + 0.658782i −0.962743 0.270420i \(-0.912838\pi\)
0.369572 + 0.929202i \(0.379504\pi\)
\(180\) 0.896872 0.807547i 0.0668489 0.0601910i
\(181\) −3.36941 + 4.63759i −0.250446 + 0.344710i −0.915668 0.401937i \(-0.868337\pi\)
0.665221 + 0.746646i \(0.268337\pi\)
\(182\) 20.2575 16.7989i 1.50158 1.24522i
\(183\) −6.75447 2.19466i −0.499305 0.162234i
\(184\) −7.19667 + 33.8577i −0.530546 + 2.49602i
\(185\) −0.401817 + 0.902495i −0.0295422 + 0.0663528i
\(186\) 17.2881 9.98130i 1.26763 0.731864i
\(187\) 11.2456 + 6.01056i 0.822360 + 0.439535i
\(188\) 19.1097i 1.39372i
\(189\) −1.64095 + 2.07540i −0.119361 + 0.150963i
\(190\) −0.929902 2.86195i −0.0674622 0.207627i
\(191\) −11.6838 12.9762i −0.845411 0.938924i 0.153376 0.988168i \(-0.450985\pi\)
−0.998787 + 0.0492440i \(0.984319\pi\)
\(192\) −16.8700 1.77311i −1.21749 0.127963i
\(193\) −12.3582 1.29889i −0.889560 0.0934965i −0.351288 0.936268i \(-0.614256\pi\)
−0.538272 + 0.842771i \(0.680923\pi\)
\(194\) 4.26102 + 4.73235i 0.305924 + 0.339763i
\(195\) −0.271349 0.835127i −0.0194317 0.0598047i
\(196\) 35.5637 4.57830i 2.54026 0.327022i
\(197\) 9.04921i 0.644729i −0.946616 0.322365i \(-0.895522\pi\)
0.946616 0.322365i \(-0.104478\pi\)
\(198\) −8.71358 1.55584i −0.619247 0.110568i
\(199\) −3.64229 + 2.10288i −0.258195 + 0.149069i −0.623511 0.781815i \(-0.714294\pi\)
0.365316 + 0.930884i \(0.380961\pi\)
\(200\) 16.7589 37.6412i 1.18503 2.66163i
\(201\) 2.24188 10.5472i 0.158130 0.743942i
\(202\) 43.4225 + 14.1088i 3.05520 + 0.992694i
\(203\) 8.21111 + 3.04263i 0.576307 + 0.213550i
\(204\) −11.5757 + 15.9326i −0.810462 + 1.11551i
\(205\) −0.825018 + 0.742850i −0.0576218 + 0.0518829i
\(206\) 15.2548 16.9422i 1.06285 1.18042i
\(207\) −3.79465 1.68949i −0.263746 0.117427i
\(208\) −22.3524 + 38.7155i −1.54986 + 2.68444i
\(209\) −8.90442 + 13.1401i −0.615932 + 0.908919i
\(210\) 0.411807 1.61180i 0.0284174 0.111225i
\(211\) 11.8736 + 16.3426i 0.817414 + 1.12507i 0.990137 + 0.140104i \(0.0447435\pi\)
−0.172723 + 0.984970i \(0.555256\pi\)
\(212\) −31.9137 6.78347i −2.19184 0.465890i
\(213\) 0.699524 + 3.29100i 0.0479306 + 0.225496i
\(214\) −1.55646 + 14.8087i −0.106397 + 1.01230i
\(215\) −2.29112 + 1.02007i −0.156253 + 0.0695683i
\(216\) 2.57510 7.92533i 0.175213 0.539251i
\(217\) 8.77845 17.7368i 0.595920 1.20405i
\(218\) −24.9440 + 18.1229i −1.68942 + 1.22744i
\(219\) −10.6332 6.13905i −0.718522 0.414839i
\(220\) 3.88589 0.959958i 0.261986 0.0647203i
\(221\) 7.16454 + 12.4093i 0.481939 + 0.834743i
\(222\) 1.16973 + 11.1292i 0.0785071 + 0.746945i
\(223\) −14.7252 + 4.78452i −0.986075 + 0.320395i −0.757288 0.653081i \(-0.773476\pi\)
−0.228787 + 0.973477i \(0.573476\pi\)
\(224\) −35.9564 + 18.8518i −2.40244 + 1.25959i
\(225\) 4.00018 + 2.90630i 0.266679 + 0.193753i
\(226\) −7.27796 16.3466i −0.484123 1.08736i
\(227\) −23.0692 + 4.90350i −1.53115 + 0.325457i −0.894986 0.446094i \(-0.852815\pi\)
−0.636168 + 0.771551i \(0.719481\pi\)
\(228\) −18.2185 16.4040i −1.20655 1.08638i
\(229\) −13.1802 + 1.38530i −0.870975 + 0.0915431i −0.529462 0.848334i \(-0.677606\pi\)
−0.341513 + 0.939877i \(0.610939\pi\)
\(230\) 2.61177 0.172215
\(231\) −8.04447 + 3.50521i −0.529287 + 0.230626i
\(232\) −27.5806 −1.81075
\(233\) 17.0190 1.78877i 1.11495 0.117186i 0.470913 0.882180i \(-0.343925\pi\)
0.644038 + 0.764994i \(0.277258\pi\)
\(234\) −7.39189 6.65569i −0.483223 0.435096i
\(235\) 0.859724 0.182740i 0.0560822 0.0119206i
\(236\) 5.33680 + 11.9867i 0.347396 + 0.780265i
\(237\) −8.89368 6.46164i −0.577707 0.419729i
\(238\) −1.10467 + 27.1241i −0.0716054 + 1.75819i
\(239\) −7.85731 + 2.55299i −0.508247 + 0.165139i −0.551905 0.833907i \(-0.686099\pi\)
0.0436578 + 0.999047i \(0.486099\pi\)
\(240\) 0.295393 + 2.81048i 0.0190676 + 0.181416i
\(241\) −12.9495 22.4291i −0.834148 1.44479i −0.894722 0.446623i \(-0.852626\pi\)
0.0605740 0.998164i \(-0.480707\pi\)
\(242\) −23.0552 18.1735i −1.48204 1.16824i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 29.4321 21.3837i 1.88420 1.36895i
\(245\) −0.546057 1.55619i −0.0348863 0.0994213i
\(246\) −3.88605 + 11.9600i −0.247766 + 0.762544i
\(247\) −16.2952 + 7.25507i −1.03684 + 0.461629i
\(248\) −6.51550 + 61.9909i −0.413735 + 3.93642i
\(249\) 3.32384 + 15.6374i 0.210639 + 0.990981i
\(250\) −6.11619 1.30004i −0.386822 0.0822215i
\(251\) 8.94180 + 12.3073i 0.564402 + 0.776832i 0.991878 0.127194i \(-0.0405972\pi\)
−0.427476 + 0.904027i \(0.640597\pi\)
\(252\) −3.66005 13.0492i −0.230561 0.822021i
\(253\) −8.45819 10.8743i −0.531762 0.683660i
\(254\) 8.69481 15.0598i 0.545561 0.944939i
\(255\) 0.827485 + 0.368420i 0.0518191 + 0.0230713i
\(256\) 3.33722 3.70636i 0.208576 0.231647i
\(257\) −15.3866 + 13.8542i −0.959793 + 0.864201i −0.990802 0.135318i \(-0.956794\pi\)
0.0310097 + 0.999519i \(0.490128\pi\)
\(258\) −16.6983 + 22.9832i −1.03959 + 1.43087i
\(259\) 7.08164 + 8.53964i 0.440032 + 0.530627i
\(260\) 4.27790 + 1.38997i 0.265304 + 0.0862025i
\(261\) 0.688130 3.23740i 0.0425942 0.200390i
\(262\) −7.72132 + 17.3424i −0.477025 + 1.07142i
\(263\) 13.0755 7.54913i 0.806269 0.465500i −0.0393896 0.999224i \(-0.512541\pi\)
0.845658 + 0.533724i \(0.179208\pi\)
\(264\) 19.9225 19.1561i 1.22615 1.17897i
\(265\) 1.50063i 0.0921829i
\(266\) −33.4362 4.89699i −2.05010 0.300254i
\(267\) 2.55258 + 7.85603i 0.156215 + 0.480781i
\(268\) 36.9591 + 41.0473i 2.25764 + 2.50736i
\(269\) 17.8171 + 1.87265i 1.08633 + 0.114178i 0.630726 0.776006i \(-0.282757\pi\)
0.455602 + 0.890184i \(0.349424\pi\)
\(270\) −0.625328 0.0657247i −0.0380563 0.00399987i
\(271\) −8.07525 8.96847i −0.490536 0.544796i 0.446153 0.894957i \(-0.352794\pi\)
−0.936690 + 0.350161i \(0.886127\pi\)
\(272\) −14.2502 43.8576i −0.864045 2.65926i
\(273\) −9.75681 1.42896i −0.590509 0.0864847i
\(274\) 1.78996i 0.108135i
\(275\) 7.15703 + 14.7548i 0.431585 + 0.889749i
\(276\) 18.4268 10.6387i 1.10916 0.640376i
\(277\) −0.0538320 + 0.120909i −0.00323445 + 0.00726470i −0.915155 0.403101i \(-0.867932\pi\)
0.911921 + 0.410366i \(0.134599\pi\)
\(278\) 1.72016 8.09269i 0.103168 0.485368i
\(279\) −7.11391 2.31145i −0.425899 0.138383i
\(280\) 3.31580 + 3.99847i 0.198157 + 0.238954i
\(281\) 14.8622 20.4561i 0.886607 1.22031i −0.0879401 0.996126i \(-0.528028\pi\)
0.974547 0.224184i \(-0.0719716\pi\)
\(282\) 7.39885 6.66195i 0.440595 0.396713i
\(283\) 10.7025 11.8864i 0.636200 0.706572i −0.335699 0.941969i \(-0.608973\pi\)
0.971899 + 0.235397i \(0.0756392\pi\)
\(284\) −15.7446 7.00995i −0.934271 0.415964i
\(285\) −0.563781 + 0.976497i −0.0333955 + 0.0578427i
\(286\) −11.2162 31.0245i −0.663229 1.83451i
\(287\) 3.36682 + 12.0037i 0.198737 + 0.708558i
\(288\) 9.01947 + 12.4142i 0.531477 + 0.731516i
\(289\) 2.17058 + 0.461370i 0.127681 + 0.0271394i
\(290\) 0.432678 + 2.03559i 0.0254077 + 0.119534i
\(291\) 0.249415 2.37303i 0.0146210 0.139109i
\(292\) 57.4566 25.5813i 3.36239 1.49703i
\(293\) 4.87645 15.0082i 0.284885 0.876786i −0.701548 0.712622i \(-0.747507\pi\)
0.986433 0.164164i \(-0.0524926\pi\)
\(294\) −14.1707 12.1734i −0.826452 0.709967i
\(295\) 0.488232 0.354721i 0.0284260 0.0206527i
\(296\) −30.2606 17.4710i −1.75886 1.01548i
\(297\) 1.75147 + 2.81644i 0.101631 + 0.163427i
\(298\) 22.2998 + 38.6244i 1.29179 + 2.23745i
\(299\) −1.61824 15.3965i −0.0935853 0.890405i
\(300\) −24.0883 + 7.82676i −1.39074 + 0.451878i
\(301\) −1.14606 + 28.1402i −0.0660578 + 1.62198i
\(302\) 7.20534 + 5.23499i 0.414621 + 0.301240i
\(303\) −6.95837 15.6287i −0.399748 0.897848i
\(304\) 56.1504 11.9351i 3.22045 0.684527i
\(305\) −1.24348 1.11963i −0.0712012 0.0641099i
\(306\) 10.2042 1.07251i 0.583337 0.0613112i
\(307\) −25.7813 −1.47142 −0.735709 0.677298i \(-0.763151\pi\)
−0.735709 + 0.677298i \(0.763151\pi\)
\(308\) 9.69499 43.8914i 0.552423 2.50094i
\(309\) −8.54241 −0.485961
\(310\) 4.67746 0.491621i 0.265662 0.0279222i
\(311\) 12.5692 + 11.3173i 0.712731 + 0.641746i 0.943542 0.331252i \(-0.107471\pi\)
−0.230811 + 0.972999i \(0.574138\pi\)
\(312\) 30.3797 6.45739i 1.71991 0.365578i
\(313\) 0.660891 + 1.48439i 0.0373558 + 0.0839024i 0.931260 0.364356i \(-0.118711\pi\)
−0.893904 + 0.448259i \(0.852044\pi\)
\(314\) 42.1976 + 30.6583i 2.38135 + 1.73015i
\(315\) −0.552068 + 0.289447i −0.0311055 + 0.0163085i
\(316\) 53.5561 17.4014i 3.01276 0.978906i
\(317\) 3.01182 + 28.6555i 0.169161 + 1.60946i 0.668949 + 0.743308i \(0.266744\pi\)
−0.499789 + 0.866147i \(0.666589\pi\)
\(318\) 8.49923 + 14.7211i 0.476613 + 0.825518i
\(319\) 7.07408 8.39371i 0.396073 0.469957i
\(320\) −3.46107 1.99825i −0.193480 0.111705i
\(321\) 4.51384 3.27950i 0.251938 0.183044i
\(322\) 13.0098 26.2862i 0.725010 1.46488i
\(323\) 5.68584 17.4992i 0.316369 0.973682i
\(324\) −4.67960 + 2.08349i −0.259978 + 0.115749i
\(325\) −1.92630 + 18.3275i −0.106852 + 1.01663i
\(326\) 6.98151 + 32.8454i 0.386670 + 1.81914i
\(327\) 11.3005 + 2.40200i 0.624920 + 0.132831i
\(328\) −23.0803 31.7673i −1.27440 1.75406i
\(329\) 2.44329 9.56298i 0.134703 0.527224i
\(330\) −1.72636 1.16987i −0.0950328 0.0643993i
\(331\) 5.43171 9.40800i 0.298554 0.517110i −0.677252 0.735752i \(-0.736829\pi\)
0.975805 + 0.218641i \(0.0701624\pi\)
\(332\) −74.8116 33.3083i −4.10582 1.82803i
\(333\) 2.80574 3.11609i 0.153753 0.170760i
\(334\) −12.5644 + 11.3130i −0.687492 + 0.619021i
\(335\) 1.49324 2.05527i 0.0815845 0.112291i
\(336\) 29.7576 + 11.0267i 1.62341 + 0.601554i
\(337\) 9.81536 + 3.18920i 0.534677 + 0.173727i 0.563896 0.825846i \(-0.309302\pi\)
−0.0292190 + 0.999573i \(0.509302\pi\)
\(338\) 0.494408 2.32601i 0.0268922 0.126518i
\(339\) −2.72706 + 6.12508i −0.148114 + 0.332669i
\(340\) −4.01827 + 2.31995i −0.217921 + 0.125817i
\(341\) −17.1948 17.8828i −0.931150 0.968408i
\(342\) 12.7725i 0.690658i
\(343\) −18.3823 2.25594i −0.992554 0.121809i
\(344\) −27.4115 84.3638i −1.47793 4.54859i
\(345\) −0.654834 0.727267i −0.0352551 0.0391547i
\(346\) 9.02501 + 0.948567i 0.485187 + 0.0509953i
\(347\) −10.9575 1.15168i −0.588228 0.0618252i −0.194261 0.980950i \(-0.562231\pi\)
−0.393967 + 0.919125i \(0.628898\pi\)
\(348\) 11.3444 + 12.5992i 0.608123 + 0.675389i
\(349\) −0.323865 0.996755i −0.0173361 0.0533551i 0.942014 0.335573i \(-0.108930\pi\)
−0.959350 + 0.282218i \(0.908930\pi\)
\(350\) −21.6537 + 27.3866i −1.15744 + 1.46388i
\(351\) 3.72707i 0.198936i
\(352\) 6.97417 + 50.4130i 0.371724 + 2.68702i
\(353\) 3.64157 2.10246i 0.193821 0.111903i −0.399949 0.916537i \(-0.630972\pi\)
0.593770 + 0.804635i \(0.297639\pi\)
\(354\) 2.78047 6.24503i 0.147780 0.331920i
\(355\) −0.164809 + 0.775366i −0.00874716 + 0.0411522i
\(356\) −40.2422 13.0755i −2.13283 0.692999i
\(357\) 7.82986 6.49305i 0.414400 0.343649i
\(358\) −18.6050 + 25.6075i −0.983302 + 1.35340i
\(359\) −4.14801 + 3.73489i −0.218924 + 0.197120i −0.771294 0.636479i \(-0.780390\pi\)
0.552370 + 0.833599i \(0.313723\pi\)
\(360\) 1.31371 1.45903i 0.0692388 0.0768975i
\(361\) 3.56702 + 1.58814i 0.187738 + 0.0835863i
\(362\) −7.64927 + 13.2489i −0.402037 + 0.696348i
\(363\) 0.719951 + 10.9764i 0.0377876 + 0.576112i
\(364\) 35.2986 36.1312i 1.85015 1.89379i
\(365\) −1.70031 2.34028i −0.0889985 0.122496i
\(366\) −18.5398 3.94075i −0.969090 0.205986i
\(367\) −1.30047 6.11823i −0.0678839 0.319369i 0.931083 0.364807i \(-0.118865\pi\)
−0.998967 + 0.0454380i \(0.985532\pi\)
\(368\) −5.20791 + 49.5500i −0.271481 + 2.58297i
\(369\) 4.30469 1.91657i 0.224093 0.0997726i
\(370\) −0.814727 + 2.50747i −0.0423556 + 0.130357i
\(371\) 15.1031 + 7.47498i 0.784115 + 0.388082i
\(372\) 30.9983 22.5216i 1.60719 1.16769i
\(373\) −8.39019 4.84408i −0.434427 0.250817i 0.266804 0.963751i \(-0.414033\pi\)
−0.701231 + 0.712934i \(0.747366\pi\)
\(374\) 31.5245 + 12.8159i 1.63009 + 0.662696i
\(375\) 1.17147 + 2.02905i 0.0604945 + 0.104780i
\(376\) 3.24954 + 30.9173i 0.167582 + 1.59444i
\(377\) 11.7318 3.81190i 0.604219 0.196323i
\(378\) −3.77639 + 5.96624i −0.194237 + 0.306870i
\(379\) −6.65607 4.83592i −0.341899 0.248404i 0.403564 0.914952i \(-0.367771\pi\)
−0.745463 + 0.666547i \(0.767771\pi\)
\(380\) −2.34926 5.27653i −0.120515 0.270680i
\(381\) −6.37352 + 1.35473i −0.326525 + 0.0694051i
\(382\) −34.6308 31.1817i −1.77186 1.59539i
\(383\) 6.98093 0.733726i 0.356709 0.0374916i 0.0755207 0.997144i \(-0.475938\pi\)
0.281188 + 0.959653i \(0.409271\pi\)
\(384\) −14.5808 −0.744075
\(385\) −2.06733 0.0164476i −0.105361 0.000838248i
\(386\) −33.1630 −1.68795
\(387\) 10.5865 1.11269i 0.538143 0.0565611i
\(388\) 9.08322 + 8.17857i 0.461131 + 0.415204i
\(389\) 5.18263 1.10160i 0.262770 0.0558534i −0.0746427 0.997210i \(-0.523782\pi\)
0.337413 + 0.941357i \(0.390448\pi\)
\(390\) −0.953178 2.14087i −0.0482661 0.108407i
\(391\) 12.9196 + 9.38666i 0.653374 + 0.474704i
\(392\) 56.7594 13.4546i 2.86678 0.679562i
\(393\) 6.76503 2.19809i 0.341251 0.110879i
\(394\) −2.52441 24.0182i −0.127178 1.21002i
\(395\) −1.29501 2.24302i −0.0651590 0.112859i
\(396\) −16.9453 1.22168i −0.851532 0.0613919i
\(397\) 9.21969 + 5.32299i 0.462723 + 0.267153i 0.713189 0.700972i \(-0.247250\pi\)
−0.250465 + 0.968126i \(0.580584\pi\)
\(398\) −9.08065 + 6.59747i −0.455172 + 0.330702i
\(399\) 7.01965 + 10.5383i 0.351422 + 0.527577i
\(400\) 18.3270 56.4047i 0.916350 2.82023i
\(401\) −3.39006 + 1.50935i −0.169291 + 0.0753733i −0.489633 0.871929i \(-0.662869\pi\)
0.320341 + 0.947302i \(0.396202\pi\)
\(402\) 3.00803 28.6195i 0.150027 1.42741i
\(403\) −5.79626 27.2693i −0.288733 1.35838i
\(404\) 85.7189 + 18.2201i 4.26467 + 0.906485i
\(405\) 0.138483 + 0.190606i 0.00688129 + 0.00947129i
\(406\) 22.6425 + 5.78505i 1.12373 + 0.287107i
\(407\) 13.0785 4.72825i 0.648277 0.234371i
\(408\) −16.0189 + 27.7455i −0.793053 + 1.37361i
\(409\) 21.8354 + 9.72176i 1.07969 + 0.480710i 0.867969 0.496619i \(-0.165425\pi\)
0.211724 + 0.977329i \(0.432092\pi\)
\(410\) −1.98251 + 2.20180i −0.0979093 + 0.108739i
\(411\) 0.498427 0.448786i 0.0245856 0.0221370i
\(412\) 25.7204 35.4010i 1.26715 1.74408i
\(413\) −1.13810 6.68077i −0.0560024 0.328739i
\(414\) −10.5430 3.42562i −0.518159 0.168360i
\(415\) −0.783102 + 3.68421i −0.0384410 + 0.180851i
\(416\) −23.2618 + 52.2468i −1.14050 + 2.56161i
\(417\) −2.68475 + 1.55004i −0.131473 + 0.0759059i
\(418\) −19.9682 + 37.3601i −0.976679 + 1.82734i
\(419\) 25.9740i 1.26891i −0.772958 0.634457i \(-0.781224\pi\)
0.772958 0.634457i \(-0.218776\pi\)
\(420\) 0.462712 3.15935i 0.0225780 0.154160i
\(421\) −1.84742 5.68577i −0.0900377 0.277108i 0.895891 0.444274i \(-0.146538\pi\)
−0.985929 + 0.167166i \(0.946538\pi\)
\(422\) 36.0737 + 40.0639i 1.75604 + 1.95028i
\(423\) −3.71014 0.389951i −0.180393 0.0189601i
\(424\) −52.7862 5.54805i −2.56352 0.269437i
\(425\) −12.7199 14.1269i −0.617005 0.685254i
\(426\) 2.77473 + 8.53974i 0.134436 + 0.413752i
\(427\) −17.4626 + 6.93785i −0.845074 + 0.335746i
\(428\) 28.5803i 1.38148i
\(429\) −5.82681 + 10.9018i −0.281321 + 0.526345i
\(430\) −5.79646 + 3.34659i −0.279530 + 0.161387i
\(431\) −4.28461 + 9.62339i −0.206382 + 0.463542i −0.986847 0.161658i \(-0.948316\pi\)
0.780465 + 0.625200i \(0.214983\pi\)
\(432\) 2.49383 11.7325i 0.119984 0.564482i
\(433\) −8.64573 2.80917i −0.415487 0.135000i 0.0938112 0.995590i \(-0.470095\pi\)
−0.509298 + 0.860590i \(0.670095\pi\)
\(434\) 18.3516 49.5253i 0.880905 2.37729i
\(435\) 0.458342 0.630853i 0.0219758 0.0302471i
\(436\) −43.9790 + 39.5989i −2.10621 + 1.89644i
\(437\) −13.3019 + 14.7733i −0.636316 + 0.706701i
\(438\) −29.9348 13.3278i −1.43034 0.636829i
\(439\) 11.2092 19.4150i 0.534988 0.926626i −0.464176 0.885743i \(-0.653650\pi\)
0.999164 0.0408831i \(-0.0130171\pi\)
\(440\) 6.12368 2.21388i 0.291935 0.105543i
\(441\) 0.163164 + 6.99810i 0.00776973 + 0.333243i
\(442\) 22.4777 + 30.9379i 1.06915 + 1.47157i
\(443\) 31.3450 + 6.66258i 1.48925 + 0.316549i 0.879443 0.476005i \(-0.157915\pi\)
0.609802 + 0.792553i \(0.291249\pi\)
\(444\) 4.46574 + 21.0096i 0.211934 + 0.997073i
\(445\) −0.203428 + 1.93549i −0.00964340 + 0.0917509i
\(446\) −37.7486 + 16.8068i −1.78745 + 0.795823i
\(447\) 5.16415 15.8936i 0.244256 0.751743i
\(448\) −37.3518 + 24.8803i −1.76471 + 1.17548i
\(449\) 14.8444 10.7851i 0.700549 0.508979i −0.179562 0.983747i \(-0.557468\pi\)
0.880111 + 0.474768i \(0.157468\pi\)
\(450\) 11.4279 + 6.59791i 0.538717 + 0.311029i
\(451\) 15.5877 + 1.12381i 0.733996 + 0.0529180i
\(452\) −17.1724 29.7434i −0.807719 1.39901i
\(453\) −0.348832 3.31892i −0.0163896 0.155936i
\(454\) −59.8616 + 19.4502i −2.80945 + 0.912844i
\(455\) −1.96305 1.24253i −0.0920293 0.0582509i
\(456\) −32.2649 23.4418i −1.51094 1.09776i
\(457\) −4.07074 9.14304i −0.190421 0.427693i 0.792953 0.609283i \(-0.208542\pi\)
−0.983374 + 0.181589i \(0.941876\pi\)
\(458\) −34.5962 + 7.35365i −1.61657 + 0.343613i
\(459\) −2.85709 2.57254i −0.133358 0.120076i
\(460\) 4.98555 0.524002i 0.232452 0.0244317i
\(461\) −6.49015 −0.302276 −0.151138 0.988513i \(-0.548294\pi\)
−0.151138 + 0.988513i \(0.548294\pi\)
\(462\) −20.3736 + 11.5476i −0.947865 + 0.537241i
\(463\) 6.25854 0.290859 0.145429 0.989369i \(-0.453544\pi\)
0.145429 + 0.989369i \(0.453544\pi\)
\(464\) −39.4815 + 4.14967i −1.83288 + 0.192644i
\(465\) −1.30965 1.17921i −0.0607334 0.0546846i
\(466\) 44.6723 9.49539i 2.06940 0.439866i
\(467\) 9.52743 + 21.3990i 0.440877 + 0.990226i 0.988181 + 0.153292i \(0.0489875\pi\)
−0.547304 + 0.836934i \(0.684346\pi\)
\(468\) −15.4455 11.2218i −0.713970 0.518730i
\(469\) −13.2471 25.2666i −0.611696 1.16670i
\(470\) 2.23088 0.724856i 0.102903 0.0334351i
\(471\) −2.04291 19.4370i −0.0941324 0.895610i
\(472\) 10.6726 + 18.4855i 0.491247 + 0.850865i
\(473\) 32.7055 + 13.2961i 1.50380 + 0.611354i
\(474\) −25.4079 14.6693i −1.16703 0.673782i
\(475\) 19.1443 13.9092i 0.878403 0.638197i
\(476\) 3.33324 + 51.9981i 0.152779 + 2.38333i
\(477\) 1.96824 6.05760i 0.0901193 0.277359i
\(478\) −20.1425 + 8.96800i −0.921295 + 0.410187i
\(479\) 2.44004 23.2154i 0.111488 1.06074i −0.785553 0.618794i \(-0.787621\pi\)
0.897041 0.441946i \(-0.145712\pi\)
\(480\) 0.751658 + 3.53627i 0.0343083 + 0.161408i
\(481\) 15.2865 + 3.24924i 0.697004 + 0.148153i
\(482\) −40.6270 55.9183i −1.85051 2.54701i
\(483\) −10.5815 + 2.96791i −0.481474 + 0.135044i
\(484\) −47.6557 30.0653i −2.16617 1.36661i
\(485\) 0.281085 0.486853i 0.0127634 0.0221068i
\(486\) 2.43806 + 1.08550i 0.110593 + 0.0492391i
\(487\) 26.1124 29.0007i 1.18326 1.31415i 0.244475 0.969656i \(-0.421384\pi\)
0.938789 0.344492i \(-0.111949\pi\)
\(488\) 43.9815 39.6011i 1.99095 1.79266i
\(489\) 7.39562 10.1792i 0.334441 0.460319i
\(490\) −1.88345 3.97807i −0.0850857 0.179711i
\(491\) 3.59074 + 1.16670i 0.162048 + 0.0526525i 0.388917 0.921273i \(-0.372849\pi\)
−0.226870 + 0.973925i \(0.572849\pi\)
\(492\) −5.01844 + 23.6099i −0.226249 + 1.06442i
\(493\) −5.17554 + 11.6245i −0.233095 + 0.523539i
\(494\) −41.2263 + 23.8020i −1.85486 + 1.07090i
\(495\) 0.107080 + 0.774032i 0.00481289 + 0.0347901i
\(496\) 89.7200i 4.02855i
\(497\) 6.98274 + 5.52101i 0.313219 + 0.247651i
\(498\) 13.1843 + 40.5772i 0.590804 + 1.81831i
\(499\) 16.5867 + 18.4214i 0.742524 + 0.824656i 0.989525 0.144359i \(-0.0461120\pi\)
−0.247002 + 0.969015i \(0.579445\pi\)
\(500\) −11.9359 1.25451i −0.533788 0.0561034i
\(501\) 6.30038 + 0.662197i 0.281480 + 0.0295848i
\(502\) 27.1664 + 30.1714i 1.21250 + 1.34661i
\(503\) −13.6237 41.9294i −0.607450 1.86954i −0.478981 0.877825i \(-0.658994\pi\)
−0.128469 0.991714i \(-0.541006\pi\)
\(504\) −8.14050 20.4897i −0.362607 0.912682i
\(505\) 4.03063i 0.179361i
\(506\) −25.4831 26.5027i −1.13286 1.17819i
\(507\) −0.771653 + 0.445514i −0.0342703 + 0.0197860i
\(508\) 13.5758 30.4918i 0.602330 1.35286i
\(509\) −4.42155 + 20.8018i −0.195982 + 0.922022i 0.764703 + 0.644382i \(0.222885\pi\)
−0.960685 + 0.277640i \(0.910448\pi\)
\(510\) 2.29906 + 0.747011i 0.101804 + 0.0330782i
\(511\) −32.0235 + 5.45536i −1.41664 + 0.241331i
\(512\) −9.31719 + 12.8240i −0.411765 + 0.566747i
\(513\) 3.55660 3.20237i 0.157028 0.141388i
\(514\) −36.9740 + 41.0638i −1.63085 + 1.81125i
\(515\) −1.83861 0.818601i −0.0810188 0.0360719i
\(516\) −27.2638 + 47.2223i −1.20022 + 2.07885i
\(517\) −10.2427 6.94097i −0.450471 0.305263i
\(518\) 21.1782 + 20.6901i 0.930515 + 0.909073i
\(519\) −1.99865 2.75091i −0.0877311 0.120751i
\(520\) 7.15750 + 1.52137i 0.313877 + 0.0667167i
\(521\) −8.57517 40.3430i −0.375685 1.76746i −0.607121 0.794609i \(-0.707676\pi\)
0.231436 0.972850i \(-0.425658\pi\)
\(522\) 0.923297 8.78458i 0.0404116 0.384491i
\(523\) 5.68683 2.53194i 0.248668 0.110714i −0.278618 0.960402i \(-0.589876\pi\)
0.527286 + 0.849688i \(0.323210\pi\)
\(524\) −11.2596 + 34.6536i −0.491879 + 1.51385i
\(525\) 13.0551 0.836873i 0.569771 0.0365241i
\(526\) 32.5987 23.6843i 1.42137 1.03268i
\(527\) 24.9048 + 14.3788i 1.08487 + 0.626351i
\(528\) 25.6369 30.4193i 1.11570 1.32383i
\(529\) 2.87313 + 4.97641i 0.124919 + 0.216366i
\(530\) 0.418623 + 3.98293i 0.0181838 + 0.173007i
\(531\) −2.43611 + 0.791539i −0.105718 + 0.0343499i
\(532\) −64.8080 2.63942i −2.80978 0.114433i
\(533\) 14.2081 + 10.3228i 0.615421 + 0.447130i
\(534\) 8.96654 + 20.1392i 0.388020 + 0.871508i
\(535\) 1.28580 0.273304i 0.0555898 0.0118160i
\(536\) 66.7755 + 60.1250i 2.88426 + 2.59700i
\(537\) 11.7953 1.23974i 0.509005 0.0534986i
\(538\) 47.8121 2.06132
\(539\) −10.4634 + 20.7248i −0.450691 + 0.892680i
\(540\) −1.20686 −0.0519350
\(541\) −4.14633 + 0.435797i −0.178265 + 0.0187364i −0.193240 0.981151i \(-0.561900\pi\)
0.0149755 + 0.999888i \(0.495233\pi\)
\(542\) −23.9350 21.5512i −1.02810 0.925702i
\(543\) 5.60712 1.19183i 0.240624 0.0511463i
\(544\) −23.9953 53.8944i −1.02879 2.31070i
\(545\) 2.20207 + 1.59989i 0.0943262 + 0.0685320i
\(546\) −26.2949 1.07090i −1.12532 0.0458305i
\(547\) −11.5676 + 3.75853i −0.494593 + 0.160703i −0.545684 0.837991i \(-0.683730\pi\)
0.0510910 + 0.998694i \(0.483730\pi\)
\(548\) 0.359121 + 3.41681i 0.0153409 + 0.145959i
\(549\) 3.55104 + 6.15058i 0.151555 + 0.262500i
\(550\) 23.1121 + 37.1653i 0.985502 + 1.58473i
\(551\) −13.7178 7.91996i −0.584397 0.337402i
\(552\) 28.0034 20.3456i 1.19190 0.865968i
\(553\) −29.0257 + 1.86064i −1.23430 + 0.0791223i
\(554\) −0.109150 + 0.335930i −0.00463735 + 0.0142723i
\(555\) 0.902495 0.401817i 0.0383088 0.0170562i
\(556\) 1.65992 15.7931i 0.0703962 0.669775i
\(557\) −0.422995 1.99003i −0.0179229 0.0843204i 0.968277 0.249879i \(-0.0803907\pi\)
−0.986200 + 0.165558i \(0.947057\pi\)
\(558\) −19.5264 4.15046i −0.826617 0.175703i
\(559\) 23.3198 + 32.0969i 0.986322 + 1.35756i
\(560\) 5.34815 + 5.22491i 0.226001 + 0.220793i
\(561\) −4.33526 11.9915i −0.183035 0.506281i
\(562\) 33.7404 58.4401i 1.42325 2.46515i
\(563\) −39.2312 17.4669i −1.65340 0.736140i −0.653613 0.756829i \(-0.726747\pi\)
−0.999786 + 0.0206887i \(0.993414\pi\)
\(564\) 12.7869 14.2013i 0.538425 0.597981i
\(565\) −1.17391 + 1.05699i −0.0493867 + 0.0444679i
\(566\) 25.0905 34.5341i 1.05463 1.45158i
\(567\) 2.60818 0.444316i 0.109533 0.0186595i
\(568\) −26.6650 8.66398i −1.11884 0.363532i
\(569\) −5.51271 + 25.9353i −0.231105 + 1.08726i 0.697613 + 0.716475i \(0.254246\pi\)
−0.928718 + 0.370788i \(0.879088\pi\)
\(570\) −1.22396 + 2.74907i −0.0512662 + 0.115146i
\(571\) 7.25913 4.19106i 0.303785 0.175391i −0.340357 0.940296i \(-0.610548\pi\)
0.644142 + 0.764906i \(0.277215\pi\)
\(572\) −27.6348 56.9715i −1.15547 2.38210i
\(573\) 17.4612i 0.729451i
\(574\) 12.2847 + 30.9207i 0.512755 + 1.29061i
\(575\) 6.34667 + 19.5330i 0.264674 + 0.814584i
\(576\) 11.3504 + 12.6059i 0.472934 + 0.525246i
\(577\) −10.5410 1.10790i −0.438828 0.0461227i −0.117461 0.993077i \(-0.537476\pi\)
−0.321367 + 0.946955i \(0.604142\pi\)
\(578\) 5.88979 + 0.619042i 0.244983 + 0.0257487i
\(579\) 8.31477 + 9.23449i 0.345550 + 0.383772i
\(580\) 1.23433 + 3.79888i 0.0512528 + 0.157740i
\(581\) 33.1790 + 26.2334i 1.37650 + 1.08835i
\(582\) 6.36800i 0.263962i
\(583\) 15.2275 14.6416i 0.630658 0.606395i
\(584\) 88.6081 51.1579i 3.66663 2.11693i
\(585\) −0.357157 + 0.802188i −0.0147666 + 0.0331664i
\(586\) 8.75619 41.1946i 0.361715 1.70173i
\(587\) −6.17879 2.00761i −0.255026 0.0828629i 0.178714 0.983901i \(-0.442806\pi\)
−0.433740 + 0.901038i \(0.642806\pi\)
\(588\) −29.4925 20.3944i −1.21625 0.841052i
\(589\) −21.0418 + 28.9615i −0.867011 + 1.19334i
\(590\) 1.19690 1.07769i 0.0492755 0.0443679i
\(591\) −6.05510 + 6.72487i −0.249074 + 0.276624i
\(592\) −45.9466 20.4567i −1.88839 0.840767i
\(593\) 18.9855 32.8839i 0.779641 1.35038i −0.152508 0.988302i \(-0.548735\pi\)
0.932149 0.362076i \(-0.117932\pi\)
\(594\) 5.43439 + 6.98673i 0.222976 + 0.286669i
\(595\) 2.30746 0.647200i 0.0945967 0.0265326i
\(596\) 50.3169 + 69.2552i 2.06106 + 2.83680i
\(597\) 4.11385 + 0.874426i 0.168369 + 0.0357879i
\(598\) −8.59019 40.4136i −0.351279 1.65264i
\(599\) 3.01690 28.7038i 0.123267 1.17281i −0.741613 0.670828i \(-0.765939\pi\)
0.864880 0.501979i \(-0.167395\pi\)
\(600\) −37.6412 + 16.7589i −1.53669 + 0.684180i
\(601\) −5.87227 + 18.0730i −0.239535 + 0.737213i 0.756952 + 0.653470i \(0.226687\pi\)
−0.996487 + 0.0837428i \(0.973313\pi\)
\(602\) 4.80830 + 75.0088i 0.195972 + 3.05713i
\(603\) −8.72349 + 6.33799i −0.355248 + 0.258103i
\(604\) 14.8044 + 8.54733i 0.602383 + 0.347786i
\(605\) −0.896890 + 2.43148i −0.0364638 + 0.0988537i
\(606\) −22.8286 39.5403i −0.927348 1.60621i
\(607\) −0.854178 8.12696i −0.0346700 0.329863i −0.998085 0.0618506i \(-0.980300\pi\)
0.963415 0.268013i \(-0.0863669\pi\)
\(608\) 69.8441 22.6937i 2.83255 0.920353i
\(609\) −4.06613 7.75542i −0.164768 0.314265i
\(610\) −3.61274 2.62481i −0.146276 0.106275i
\(611\) −5.65531 12.7020i −0.228789 0.513869i
\(612\) 19.2634 4.09457i 0.778678 0.165513i
\(613\) −10.8688 9.78630i −0.438986 0.395265i 0.419786 0.907623i \(-0.362105\pi\)
−0.858772 + 0.512358i \(0.828772\pi\)
\(614\) −68.4281 + 7.19208i −2.76153 + 0.290249i
\(615\) 1.11017 0.0447664
\(616\) 8.22180 72.6597i 0.331266 2.92754i
\(617\) −17.0126 −0.684901 −0.342450 0.939536i \(-0.611257\pi\)
−0.342450 + 0.939536i \(0.611257\pi\)
\(618\) −22.6730 + 2.38303i −0.912043 + 0.0958596i
\(619\) −0.683084 0.615051i −0.0274555 0.0247210i 0.655289 0.755379i \(-0.272547\pi\)
−0.682744 + 0.730658i \(0.739214\pi\)
\(620\) 8.83006 1.87689i 0.354624 0.0753776i
\(621\) 1.68949 + 3.79465i 0.0677968 + 0.152274i
\(622\) 36.5178 + 26.5318i 1.46423 + 1.06383i
\(623\) 18.4664 + 11.6885i 0.739842 + 0.468290i
\(624\) 42.5168 13.8146i 1.70204 0.553025i
\(625\) −2.52650 24.0380i −0.101060 0.961522i
\(626\) 2.16821 + 3.75545i 0.0866591 + 0.150098i
\(627\) 15.4097 3.80677i 0.615404 0.152028i
\(628\) 86.7010 + 50.0568i 3.45974 + 1.99748i
\(629\) −13.0420 + 9.47558i −0.520019 + 0.377816i
\(630\) −1.38454 + 0.922249i −0.0551613 + 0.0367433i
\(631\) −7.15855 + 22.0318i −0.284977 + 0.877070i 0.701428 + 0.712740i \(0.252546\pi\)
−0.986405 + 0.164330i \(0.947454\pi\)
\(632\) 83.6884 37.2605i 3.32895 1.48214i
\(633\) 2.11154 20.0900i 0.0839262 0.798504i
\(634\) 15.9878 + 75.2166i 0.634956 + 2.98723i
\(635\) −1.50161 0.319178i −0.0595897 0.0126662i
\(636\) 19.1775 + 26.3955i 0.760436 + 1.04665i
\(637\) −22.2839 + 13.5678i −0.882922 + 0.537577i
\(638\) 16.4343 24.2518i 0.650640 0.960137i
\(639\) 1.68226 2.91376i 0.0665493 0.115267i
\(640\) −3.13828 1.39725i −0.124051 0.0552312i
\(641\) −1.08902 + 1.20948i −0.0430136 + 0.0477715i −0.764268 0.644899i \(-0.776899\pi\)
0.721254 + 0.692671i \(0.243566\pi\)
\(642\) 11.0657 9.96356i 0.436726 0.393230i
\(643\) 4.79592 6.60101i 0.189133 0.260319i −0.703912 0.710288i \(-0.748565\pi\)
0.893044 + 0.449969i \(0.148565\pi\)
\(644\) 19.5604 52.7874i 0.770786 2.08011i
\(645\) 2.38520 + 0.774997i 0.0939170 + 0.0305155i
\(646\) 10.2095 48.0321i 0.401689 1.88980i
\(647\) 5.87080 13.1860i 0.230805 0.518396i −0.760601 0.649220i \(-0.775096\pi\)
0.991406 + 0.130824i \(0.0417622\pi\)
\(648\) −7.21675 + 4.16659i −0.283501 + 0.163679i
\(649\) −8.36318 1.49327i −0.328283 0.0586160i
\(650\) 49.1817i 1.92907i
\(651\) −18.3919 + 7.30705i −0.720834 + 0.286386i
\(652\) 19.9166 + 61.2971i 0.779996 + 2.40058i
\(653\) −18.5063 20.5533i −0.724208 0.804314i 0.262823 0.964844i \(-0.415346\pi\)
−0.987031 + 0.160530i \(0.948680\pi\)
\(654\) 30.6636 + 3.22287i 1.19904 + 0.126024i
\(655\) 1.66670 + 0.175177i 0.0651232 + 0.00684473i
\(656\) −37.8190 42.0022i −1.47658 1.63991i
\(657\) 3.79414 + 11.6772i 0.148024 + 0.455570i
\(658\) 3.81719 26.0634i 0.148810 1.01606i
\(659\) 41.7753i 1.62734i 0.581330 + 0.813668i \(0.302533\pi\)
−0.581330 + 0.813668i \(0.697467\pi\)
\(660\) −3.53011 1.88678i −0.137409 0.0734427i
\(661\) −28.4168 + 16.4065i −1.10529 + 0.638138i −0.937605 0.347703i \(-0.886962\pi\)
−0.167682 + 0.985841i \(0.553628\pi\)
\(662\) 11.7922 26.4857i 0.458317 1.02940i
\(663\) 2.97918 14.0159i 0.115702 0.544334i
\(664\) −126.700 41.1675i −4.91693 1.59761i
\(665\) 0.500994 + 2.94088i 0.0194277 + 0.114042i
\(666\) 6.57763 9.05333i 0.254878 0.350810i
\(667\) 10.2166 9.19908i 0.395589 0.356190i
\(668\) −21.7141 + 24.1159i −0.840144 + 0.933074i
\(669\) 14.1444 + 6.29751i 0.546856 + 0.243476i
\(670\) 3.38997 5.87161i 0.130966 0.226840i
\(671\) 0.771249 + 23.5423i 0.0297737 + 0.908840i
\(672\) 39.3351 + 10.0499i 1.51738 + 0.387684i
\(673\) 3.00454 + 4.13540i 0.115817 + 0.159408i 0.862990 0.505222i \(-0.168589\pi\)
−0.747173 + 0.664630i \(0.768589\pi\)
\(674\) 26.9413 + 5.72656i 1.03774 + 0.220579i
\(675\) −1.02802 4.83644i −0.0395684 0.186155i
\(676\) 0.477094 4.53925i 0.0183498 0.174587i
\(677\) −17.6183 + 7.84419i −0.677128 + 0.301477i −0.716337 0.697754i \(-0.754183\pi\)
0.0392093 + 0.999231i \(0.487516\pi\)
\(678\) −5.52941 + 17.0178i −0.212356 + 0.653564i
\(679\) −3.49979 5.25411i −0.134310 0.201634i
\(680\) −6.10659 + 4.43670i −0.234177 + 0.170140i
\(681\) 20.4248 + 11.7923i 0.782680 + 0.451881i
\(682\) −50.6266 42.6673i −1.93859 1.63382i
\(683\) 1.48922 + 2.57941i 0.0569835 + 0.0986983i 0.893110 0.449838i \(-0.148518\pi\)
−0.836126 + 0.548537i \(0.815185\pi\)
\(684\) 2.56256 + 24.3811i 0.0979819 + 0.932236i
\(685\) 0.150284 0.0488303i 0.00574206 0.00186571i
\(686\) −49.4193 0.859633i −1.88684 0.0328209i
\(687\) 10.7218 + 7.78982i 0.409061 + 0.297200i
\(688\) −51.9325 116.642i −1.97991 4.44695i
\(689\) 23.2202 4.93561i 0.884620 0.188032i
\(690\) −1.94093 1.74762i −0.0738898 0.0665306i
\(691\) −12.9051 + 1.35638i −0.490934 + 0.0515993i −0.346762 0.937953i \(-0.612719\pi\)
−0.144173 + 0.989553i \(0.546052\pi\)
\(692\) 17.4179 0.662130
\(693\) 8.32365 + 2.77792i 0.316189 + 0.105525i
\(694\) −29.4043 −1.11617
\(695\) −0.726385 + 0.0763462i −0.0275534 + 0.00289598i
\(696\) 20.4963 + 18.4550i 0.776912 + 0.699535i
\(697\) −17.7201 + 3.76653i −0.671197 + 0.142667i
\(698\) −1.13765 2.55521i −0.0430608 0.0967162i
\(699\) −13.8445 10.0586i −0.523646 0.380451i
\(700\) −35.8395 + 56.6221i −1.35461 + 2.14011i
\(701\) −29.9894 + 9.74416i −1.13269 + 0.368032i −0.814596 0.580029i \(-0.803041\pi\)
−0.318090 + 0.948061i \(0.603041\pi\)
\(702\) 1.03972 + 9.89228i 0.0392417 + 0.373360i
\(703\) −10.0338 17.3791i −0.378433 0.655466i
\(704\) 13.4926 + 54.6177i 0.508521 + 2.05848i
\(705\) −0.761176 0.439465i −0.0286675 0.0165512i
\(706\) 9.07883 6.59616i 0.341686 0.248250i
\(707\) −40.5664 20.0775i −1.52566 0.755092i
\(708\) 4.05462 12.4788i 0.152382 0.468984i
\(709\) −43.1134 + 19.1953i −1.61916 + 0.720896i −0.998026 0.0628089i \(-0.979994\pi\)
−0.621133 + 0.783705i \(0.713327\pi\)
\(710\) −0.221132 + 2.10393i −0.00829894 + 0.0789592i
\(711\) 2.28561 + 10.7530i 0.0857172 + 0.403268i
\(712\) −67.3306 14.3116i −2.52332 0.536348i
\(713\) −18.2626 25.1363i −0.683939 0.941362i
\(714\) 18.9705 19.4179i 0.709952 0.726698i
\(715\) −2.29882 + 1.78806i −0.0859710 + 0.0668696i
\(716\) −30.3769 + 52.6143i −1.13524 + 1.96629i
\(717\) 7.54741 + 3.36032i 0.281863 + 0.125494i
\(718\) −9.96764 + 11.0702i −0.371989 + 0.413135i
\(719\) −34.7730 + 31.3097i −1.29681 + 1.16766i −0.321480 + 0.946916i \(0.604180\pi\)
−0.975333 + 0.220739i \(0.929153\pi\)
\(720\) 1.66106 2.28625i 0.0619040 0.0852035i
\(721\) −17.3974 + 14.4271i −0.647912 + 0.537292i
\(722\) 9.91052 + 3.22012i 0.368831 + 0.119841i
\(723\) −5.38469 + 25.3330i −0.200259 + 0.942143i
\(724\) −11.9434 + 26.8252i −0.443872 + 0.996952i
\(725\) −14.1724 + 8.18245i −0.526351 + 0.303889i
\(726\) 4.97291 + 28.9325i 0.184562 + 1.07378i
\(727\) 7.14658i 0.265052i 0.991180 + 0.132526i \(0.0423088\pi\)
−0.991180 + 0.132526i \(0.957691\pi\)
\(728\) 50.9651 64.4586i 1.88889 2.38899i
\(729\) −0.309017 0.951057i −0.0114451 0.0352243i
\(730\) −5.16578 5.73718i −0.191194 0.212343i
\(731\) −40.7009 4.27784i −1.50538 0.158222i
\(732\) −36.1808 3.80275i −1.33728 0.140554i
\(733\) 21.8210 + 24.2346i 0.805976 + 0.895127i 0.996243 0.0866053i \(-0.0276019\pi\)
−0.190267 + 0.981732i \(0.560935\pi\)
\(734\) −5.15844 15.8760i −0.190401 0.585996i
\(735\) −0.635495 + 1.52186i −0.0234406 + 0.0561346i
\(736\) 63.7388i 2.34944i
\(737\) −35.4252 + 4.90075i −1.30490 + 0.180521i
\(738\) 10.8907 6.28776i 0.400893 0.231456i
\(739\) 13.5143 30.3537i 0.497133 1.11658i −0.474537 0.880236i \(-0.657384\pi\)
0.971670 0.236343i \(-0.0759490\pi\)
\(740\) −1.05214 + 4.94991i −0.0386773 + 0.181962i
\(741\) 16.9643 + 5.51202i 0.623197 + 0.202489i
\(742\) 42.1716 + 15.6267i 1.54817 + 0.573673i
\(743\) 12.1160 16.6763i 0.444494 0.611794i −0.526709 0.850045i \(-0.676574\pi\)
0.971203 + 0.238252i \(0.0765744\pi\)
\(744\) 46.3219 41.7085i 1.69824 1.52911i
\(745\) 2.63455 2.92596i 0.0965224 0.107199i
\(746\) −23.6203 10.5165i −0.864802 0.385035i
\(747\) 7.99338 13.8449i 0.292463 0.506560i
\(748\) 62.7476 + 18.1392i 2.29428 + 0.663236i
\(749\) 3.65417 14.3023i 0.133520 0.522595i
\(750\) 3.67532 + 5.05864i 0.134204 + 0.184715i
\(751\) 40.4100 + 8.58942i 1.47458 + 0.313432i 0.873920 0.486070i \(-0.161570\pi\)
0.600663 + 0.799502i \(0.294903\pi\)
\(752\) 9.30340 + 43.7691i 0.339260 + 1.59609i
\(753\) 1.59016 15.1294i 0.0579487 0.551345i
\(754\) 30.0749 13.3902i 1.09526 0.487642i
\(755\) 0.242965 0.747769i 0.00884239 0.0272141i
\(756\) −6.01165 + 12.1465i −0.218642 + 0.441763i
\(757\) 40.1653 29.1818i 1.45983 1.06063i 0.476427 0.879214i \(-0.341932\pi\)
0.983406 0.181417i \(-0.0580682\pi\)
\(758\) −19.0154 10.9785i −0.690671 0.398759i
\(759\) −0.990655 + 13.7408i −0.0359585 + 0.498760i
\(760\) −4.69809 8.13733i −0.170418 0.295172i
\(761\) 4.15915 + 39.5717i 0.150769 + 1.43447i 0.764330 + 0.644825i \(0.223070\pi\)
−0.613561 + 0.789647i \(0.710264\pi\)
\(762\) −16.5385 + 5.37369i −0.599127 + 0.194668i
\(763\) 27.0712 14.1933i 0.980043 0.513832i
\(764\) −72.3618 52.5739i −2.61796 1.90206i
\(765\) −0.368420 0.827485i −0.0133202 0.0299178i
\(766\) 18.3239 3.89487i 0.662070 0.140727i
\(767\) −7.09464 6.38804i −0.256173 0.230659i
\(768\) −4.96007 + 0.521325i −0.178981 + 0.0188117i
\(769\) 6.24486 0.225195 0.112598 0.993641i \(-0.464083\pi\)
0.112598 + 0.993641i \(0.464083\pi\)
\(770\) −5.49165 + 0.533058i −0.197905 + 0.0192101i
\(771\) 20.7048 0.745664
\(772\) −63.3041 + 6.65353i −2.27837 + 0.239466i
\(773\) −4.75288 4.27951i −0.170949 0.153923i 0.579215 0.815175i \(-0.303359\pi\)
−0.750164 + 0.661251i \(0.770026\pi\)
\(774\) 27.7880 5.90653i 0.998821 0.212306i
\(775\) 15.0431 + 33.7873i 0.540364 + 1.21368i
\(776\) 16.0863 + 11.6874i 0.577466 + 0.419553i
\(777\) 0.451445 11.0847i 0.0161955 0.397662i
\(778\) 13.4483 4.36961i 0.482145 0.156658i
\(779\) −2.35726 22.4278i −0.0844575 0.803560i
\(780\) −2.24902 3.89543i −0.0805280 0.139479i
\(781\) 9.47599 5.89286i 0.339078 0.210863i
\(782\) 36.9095 + 21.3097i 1.31988 + 0.762033i
\(783\) −2.67762 + 1.94541i −0.0956904 + 0.0695232i
\(784\) 79.2266 27.8001i 2.82952 0.992861i
\(785\) 1.42291 4.37925i 0.0507857 0.156302i
\(786\) 17.3424 7.72132i 0.618582 0.275410i
\(787\) −1.30336 + 12.4006i −0.0464597 + 0.442035i 0.946422 + 0.322932i \(0.104668\pi\)
−0.992882 + 0.119103i \(0.961998\pi\)
\(788\) −9.63758 45.3412i −0.343324 1.61521i
\(789\) −14.7683 3.13911i −0.525767 0.111755i
\(790\) −4.06290 5.59211i −0.144552 0.198958i
\(791\) 4.79060 + 17.0799i 0.170334 + 0.607293i
\(792\) −27.6232 + 0.904942i −0.981549 + 0.0321557i
\(793\) −13.2350 + 22.9236i −0.469987 + 0.814041i
\(794\) 25.9556 + 11.5562i 0.921129 + 0.410113i
\(795\) 1.00412 1.11518i 0.0356124 0.0395515i
\(796\) −16.0102 + 14.4156i −0.567465 + 0.510948i
\(797\) −3.08834 + 4.25073i −0.109394 + 0.150569i −0.860204 0.509950i \(-0.829664\pi\)
0.750809 + 0.660519i \(0.229664\pi\)
\(798\) 21.5712 + 26.0123i 0.763612 + 0.920827i
\(799\) 13.6406 + 4.43209i 0.482569 + 0.156796i
\(800\) 15.7748 74.2144i 0.557722 2.62388i
\(801\) 3.35978 7.54618i 0.118712 0.266631i
\(802\) −8.57674 + 4.95178i −0.302855 + 0.174854i
\(803\) −7.15781 + 40.0879i −0.252594 + 1.41467i
\(804\) 55.2346i 1.94797i
\(805\) −2.56189 0.375209i −0.0902949 0.0132244i
\(806\) −22.9915 70.7604i −0.809840 2.49243i
\(807\) −11.9876 13.3136i −0.421985 0.468662i
\(808\) 141.781 + 14.9018i 4.98786 + 0.524245i
\(809\) −21.8228 2.29366i −0.767247 0.0806410i −0.287185 0.957875i \(-0.592719\pi\)
−0.480063 + 0.877234i \(0.659386\pi\)
\(810\) 0.420731 + 0.467269i 0.0147830 + 0.0164182i
\(811\) 0.0493231 + 0.151801i 0.00173197 + 0.00533045i 0.951919 0.306351i \(-0.0991080\pi\)
−0.950187 + 0.311681i \(0.899108\pi\)
\(812\) 44.3824 + 6.50015i 1.55752 + 0.228110i
\(813\) 12.0683i 0.423253i
\(814\) 33.3936 16.1980i 1.17045 0.567741i
\(815\) 2.56723 1.48219i 0.0899262 0.0519189i
\(816\) −18.7565 + 42.1278i −0.656608 + 1.47477i
\(817\) 10.5920 49.8315i 0.370568 1.74339i
\(818\) 60.6671 + 19.7119i 2.12117 + 0.689211i
\(819\) 6.29456 + 7.59050i 0.219950 + 0.265234i
\(820\) −3.34262 + 4.60072i −0.116729 + 0.160664i
\(821\) 6.37824 5.74299i 0.222602 0.200432i −0.550282 0.834979i \(-0.685480\pi\)
0.772884 + 0.634547i \(0.218813\pi\)
\(822\) 1.19772 1.33020i 0.0417751 0.0463960i
\(823\) −34.3517 15.2943i −1.19742 0.533127i −0.291501 0.956571i \(-0.594155\pi\)
−0.905923 + 0.423443i \(0.860821\pi\)
\(824\) 35.5927 61.6484i 1.23993 2.14763i
\(825\) 4.55419 15.7540i 0.158557 0.548483i
\(826\) −4.88443 17.4144i −0.169951 0.605926i
\(827\) −6.66173 9.16908i −0.231651 0.318840i 0.677329 0.735680i \(-0.263137\pi\)
−0.908980 + 0.416840i \(0.863137\pi\)
\(828\) −20.8125 4.42383i −0.723284 0.153739i
\(829\) 3.92330 + 18.4577i 0.136262 + 0.641061i 0.992270 + 0.124099i \(0.0396040\pi\)
−0.856008 + 0.516963i \(0.827063\pi\)
\(830\) −1.05072 + 9.99698i −0.0364712 + 0.347000i
\(831\) 0.120909 0.0538320i 0.00419427 0.00186741i
\(832\) −19.5367 + 60.1276i −0.677312 + 2.08455i
\(833\) 4.98024 26.4474i 0.172555 0.916347i
\(834\) −6.69339 + 4.86303i −0.231773 + 0.168393i
\(835\) 1.29259 + 0.746279i 0.0447321 + 0.0258261i
\(836\) −30.6213 + 75.3220i −1.05906 + 2.60507i
\(837\) 3.74000 + 6.47788i 0.129273 + 0.223908i
\(838\) −7.24584 68.9395i −0.250303 2.38148i
\(839\) 10.8137 3.51360i 0.373332 0.121303i −0.116340 0.993209i \(-0.537116\pi\)
0.489672 + 0.871906i \(0.337116\pi\)
\(840\) 0.211377 5.19014i 0.00729322 0.179077i
\(841\) −14.5993 10.6070i −0.503424 0.365759i
\(842\) −6.48950 14.5757i −0.223643 0.502310i
\(843\) −24.7326 + 5.25708i −0.851836 + 0.181063i
\(844\) 76.8982 + 69.2395i 2.64695 + 2.38332i
\(845\) −0.208778 + 0.0219435i −0.00718218 + 0.000754878i
\(846\) −9.95613 −0.342299
\(847\) 20.0041 + 21.1385i 0.687348 + 0.726329i
\(848\) −76.3980 −2.62352
\(849\) −15.9071 + 1.67190i −0.545930 + 0.0573795i
\(850\) −37.7017 33.9468i −1.29316 1.16436i
\(851\) 17.0366 3.62123i 0.584006 0.124134i
\(852\) 7.00995 + 15.7446i 0.240157 + 0.539402i
\(853\) 11.5992 + 8.42735i 0.397151 + 0.288547i 0.768379 0.639995i \(-0.221063\pi\)
−0.371229 + 0.928541i \(0.621063\pi\)
\(854\) −44.4133 + 23.2857i −1.51979 + 0.796821i
\(855\) 1.07237 0.348436i 0.0366744 0.0119162i
\(856\) 4.85998 + 46.2396i 0.166111 + 1.58044i
\(857\) −3.30855 5.73059i −0.113018 0.195753i 0.803968 0.594673i \(-0.202718\pi\)
−0.916986 + 0.398920i \(0.869385\pi\)
\(858\) −12.4241 + 30.5608i −0.424153 + 1.04333i
\(859\) 20.2429 + 11.6873i 0.690679 + 0.398764i 0.803867 0.594810i \(-0.202773\pi\)
−0.113187 + 0.993574i \(0.536106\pi\)
\(860\) −10.3933 + 7.55117i −0.354409 + 0.257493i
\(861\) 5.53002 11.1734i 0.188463 0.380787i
\(862\) −8.68751 + 26.7374i −0.295898 + 0.910680i
\(863\) 8.23583 3.66683i 0.280351 0.124820i −0.261745 0.965137i \(-0.584298\pi\)
0.542095 + 0.840317i \(0.317631\pi\)
\(864\) 1.60397 15.2608i 0.0545683 0.519182i
\(865\) −0.166562 0.783613i −0.00566328 0.0266436i
\(866\) −23.7309 5.04416i −0.806409 0.171408i
\(867\) −1.30433 1.79526i −0.0442975 0.0609703i
\(868\) 25.0946 98.2195i 0.851766 3.33379i
\(869\) −10.1254 + 35.0261i −0.343482 + 1.18818i
\(870\) 1.04053 1.80225i 0.0352773 0.0611022i
\(871\) −36.7139 16.3461i −1.24400 0.553865i
\(872\) −64.4193 + 71.5449i −2.18151 + 2.42282i
\(873\) −1.77322 + 1.59661i −0.0600143 + 0.0540371i
\(874\) −31.1843 + 42.9215i −1.05483 + 1.45184i
\(875\) 5.81261 + 2.15386i 0.196502 + 0.0728139i
\(876\) −59.8158 19.4353i −2.02099 0.656659i
\(877\) −2.33910 + 11.0046i −0.0789860 + 0.371600i −0.999832 0.0183265i \(-0.994166\pi\)
0.920846 + 0.389926i \(0.127500\pi\)
\(878\) 24.3352 54.6577i 0.821272 1.84461i
\(879\) −13.6663 + 7.89026i −0.460954 + 0.266132i
\(880\) 8.43293 4.09051i 0.284274 0.137891i
\(881\) 3.55642i 0.119819i −0.998204 0.0599094i \(-0.980919\pi\)
0.998204 0.0599094i \(-0.0190812\pi\)
\(882\) 2.38529 + 18.5286i 0.0803169 + 0.623892i
\(883\) 7.75476 + 23.8667i 0.260968 + 0.803178i 0.992595 + 0.121472i \(0.0387616\pi\)
−0.731626 + 0.681706i \(0.761238\pi\)
\(884\) 49.1142 + 54.5469i 1.65189 + 1.83461i
\(885\) −0.600182 0.0630817i −0.0201749 0.00212047i
\(886\) 85.0536 + 8.93950i 2.85743 + 0.300328i
\(887\) −20.6403 22.9233i −0.693032 0.769690i 0.289218 0.957263i \(-0.406605\pi\)
−0.982251 + 0.187573i \(0.939938\pi\)
\(888\) 10.7977 + 33.2318i 0.362346 + 1.11519i
\(889\) −10.6923 + 13.5231i −0.358607 + 0.453551i
\(890\) 5.19386i 0.174099i
\(891\) 0.582974 3.26499i 0.0195303 0.109381i
\(892\) −68.6854 + 39.6556i −2.29976 + 1.32777i
\(893\) −7.26190 + 16.3105i −0.243010 + 0.545810i
\(894\) 9.27279 43.6251i 0.310129 1.45904i
\(895\) 2.65754 + 0.863488i 0.0888318 + 0.0288632i
\(896\) −29.6952 + 24.6252i −0.992046 + 0.822672i
\(897\) −9.09971 + 12.5247i −0.303830 + 0.418187i
\(898\) 36.3909 32.7665i 1.21438 1.09343i
\(899\) 16.5655 18.3979i 0.552491 0.613603i
\(900\) 23.1382 + 10.3018i 0.771274 + 0.343393i
\(901\) −12.2438 + 21.2068i −0.407899 + 0.706503i
\(902\) 41.6859 1.36564i 1.38799 0.0454708i
\(903\) 19.6812 20.1454i 0.654949 0.670397i
\(904\) −32.8406 45.2012i −1.09226 1.50337i
\(905\) 1.32105 + 0.280797i 0.0439131 + 0.00933402i
\(906\) −1.85172 8.71167i −0.0615194 0.289426i
\(907\) 4.77553 45.4362i 0.158569 1.50868i −0.568823 0.822460i \(-0.692601\pi\)
0.727391 0.686223i \(-0.240732\pi\)
\(908\) −110.366 + 49.1382i −3.66263 + 1.63071i
\(909\) −5.28660 + 16.2705i −0.175345 + 0.539658i
\(910\) −5.55691 2.75028i −0.184210 0.0911708i
\(911\) −9.33470 + 6.78206i −0.309272 + 0.224700i −0.731584 0.681751i \(-0.761219\pi\)
0.422312 + 0.906451i \(0.361219\pi\)
\(912\) −49.7141 28.7024i −1.64620 0.950432i
\(913\) 45.0258 28.0003i 1.49014 0.926675i
\(914\) −13.3550 23.1316i −0.441745 0.765126i
\(915\) 0.174904 + 1.66410i 0.00578213 + 0.0550133i
\(916\) −64.5645 + 20.9783i −2.13327 + 0.693141i
\(917\) 10.0653 15.9019i 0.332385 0.525127i
\(918\) −8.30087 6.03093i −0.273969 0.199050i
\(919\) −6.67510 14.9925i −0.220191 0.494557i 0.769347 0.638832i \(-0.220582\pi\)
−0.989538 + 0.144274i \(0.953915\pi\)
\(920\) 7.97693 1.69555i 0.262992 0.0559006i
\(921\) 19.1592 + 17.2511i 0.631319 + 0.568442i
\(922\) −17.2260 + 1.81052i −0.567307 + 0.0596264i
\(923\) 12.5398 0.412753
\(924\) −36.5738 + 26.1304i −1.20319 + 0.859628i
\(925\) −20.7328 −0.681690
\(926\) 16.6112 1.74591i 0.545879 0.0573742i
\(927\) 6.34825 + 5.71599i 0.208504 + 0.187738i
\(928\) −49.6774 + 10.5593i −1.63074 + 0.346624i
\(929\) 10.7806 + 24.2136i 0.353699 + 0.794422i 0.999521 + 0.0309338i \(0.00984812\pi\)
−0.645822 + 0.763488i \(0.723485\pi\)
\(930\) −3.80499 2.76449i −0.124771 0.0906511i
\(931\) 32.0941 + 9.60694i 1.05184 + 0.314855i
\(932\) 83.3688 27.0882i 2.73084 0.887303i
\(933\) −1.76794 16.8208i −0.0578797 0.550689i
\(934\) 31.2570 + 54.1387i 1.02276 + 1.77147i
\(935\) 0.216028 2.99640i 0.00706488 0.0979929i
\(936\) −26.8973 15.5292i −0.879166 0.507587i
\(937\) −30.3605 + 22.0582i −0.991835 + 0.720611i −0.960322 0.278893i \(-0.910033\pi\)
−0.0315131 + 0.999503i \(0.510033\pi\)
\(938\) −42.2087 63.3663i −1.37816 2.06898i
\(939\) 0.502110 1.54534i 0.0163857 0.0504301i
\(940\) 4.11304 1.83124i 0.134153 0.0597286i
\(941\) −3.08577 + 29.3591i −0.100593 + 0.957080i 0.821525 + 0.570172i \(0.193123\pi\)
−0.922118 + 0.386908i \(0.873543\pi\)
\(942\) −10.8445 51.0193i −0.353332 1.66230i
\(943\) 19.1451 + 4.06941i 0.623450 + 0.132518i
\(944\) 18.0591 + 24.8562i 0.587773 + 0.809000i
\(945\) 0.603944 + 0.154305i 0.0196463 + 0.00501953i
\(946\) 90.5152 + 26.1664i 2.94290 + 0.850742i
\(947\) 0.582446 1.00883i 0.0189269 0.0327824i −0.856407 0.516302i \(-0.827308\pi\)
0.875334 + 0.483519i \(0.160642\pi\)
\(948\) −51.4437 22.9042i −1.67081 0.743894i
\(949\) −30.6203 + 34.0073i −0.993977 + 1.10392i
\(950\) 46.9322 42.2580i 1.52268 1.37103i
\(951\) 16.9361 23.3105i 0.549190 0.755895i
\(952\) 14.2349 + 83.5601i 0.461356 + 2.70820i
\(953\) 25.3195 + 8.22679i 0.820178 + 0.266492i 0.688902 0.724854i \(-0.258093\pi\)
0.131275 + 0.991346i \(0.458093\pi\)
\(954\) 3.53418 16.6270i 0.114423 0.538319i
\(955\) −1.67327 + 3.75822i −0.0541457 + 0.121613i
\(956\) −36.6502 + 21.1600i −1.18535 + 0.684363i
\(957\) −10.8736 + 1.50426i −0.351492 + 0.0486257i
\(958\) 62.2985i 2.01277i
\(959\) 0.257147 1.75577i 0.00830371 0.0566969i
\(960\) 1.23499 + 3.80089i 0.0398590 + 0.122673i
\(961\) −16.6952 18.5419i −0.538554 0.598124i
\(962\) 41.4794 + 4.35966i 1.33735 + 0.140561i
\(963\) −5.54885 0.583208i −0.178809 0.0187936i
\(964\) −88.7709 98.5901i −2.85912 3.17537i
\(965\) 0.904692 + 2.78436i 0.0291231 + 0.0896316i
\(966\) −27.2571 + 10.8292i −0.876984 + 0.348424i
\(967\) 16.4445i 0.528820i 0.964410 + 0.264410i \(0.0851773\pi\)
−0.964410 + 0.264410i \(0.914823\pi\)
\(968\) −82.2138 40.5386i −2.64245 1.30296i
\(969\) −15.9347 + 9.19988i −0.511895 + 0.295543i
\(970\) 0.610232 1.37060i 0.0195934 0.0440074i
\(971\) 7.74120 36.4195i 0.248427 1.16876i −0.660181 0.751107i \(-0.729520\pi\)
0.908608 0.417651i \(-0.137146\pi\)
\(972\) 4.87175 + 1.58293i 0.156261 + 0.0507724i
\(973\) −2.84991 + 7.69102i −0.0913638 + 0.246563i
\(974\) 61.2165 84.2573i 1.96150 2.69978i
\(975\) 13.6950 12.3310i 0.438591 0.394909i
\(976\) 57.0011 63.3062i 1.82456 2.02638i
\(977\) 33.8510 + 15.0714i 1.08299 + 0.482177i 0.869078 0.494676i \(-0.164713\pi\)
0.213911 + 0.976853i \(0.431380\pi\)
\(978\) 16.7896 29.0805i 0.536872 0.929890i
\(979\) 21.6250 16.8203i 0.691138 0.537578i
\(980\) −4.39340 7.21576i −0.140342 0.230499i
\(981\) −6.79067 9.34655i −0.216809 0.298413i
\(982\) 9.85591 + 2.09494i 0.314515 + 0.0668521i
\(983\) 11.7410 + 55.2369i 0.374479 + 1.76178i 0.612447 + 0.790511i \(0.290185\pi\)
−0.237969 + 0.971273i \(0.576482\pi\)
\(984\) −4.10447 + 39.0514i −0.130846 + 1.24491i
\(985\) −1.94769 + 0.867167i −0.0620585 + 0.0276302i
\(986\) −10.4940 + 32.2971i −0.334196 + 1.02855i
\(987\) −8.21460 + 5.47180i −0.261474 + 0.174169i
\(988\) −73.9204 + 53.7063i −2.35172 + 1.70863i
\(989\) 38.2923 + 22.1080i 1.21762 + 0.702995i
\(990\) 0.500137 + 2.02454i 0.0158954 + 0.0643442i
\(991\) −8.47012 14.6707i −0.269062 0.466030i 0.699558 0.714576i \(-0.253380\pi\)
−0.968620 + 0.248547i \(0.920047\pi\)
\(992\) 11.9977 + 114.151i 0.380928 + 3.62429i
\(993\) −10.3317 + 3.35698i −0.327867 + 0.106531i
\(994\) 20.0736 + 12.7058i 0.636695 + 0.403002i
\(995\) 0.801642 + 0.582427i 0.0254138 + 0.0184642i
\(996\) 33.3083 + 74.8116i 1.05541 + 2.37050i
\(997\) 41.3513 8.78949i 1.30961 0.278366i 0.500353 0.865822i \(-0.333204\pi\)
0.809256 + 0.587456i \(0.199870\pi\)
\(998\) 49.1630 + 44.2665i 1.55623 + 1.40123i
\(999\) −4.17014 + 0.438299i −0.131937 + 0.0138672i
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 231.2.ba.a.19.16 128
3.2 odd 2 693.2.cg.c.19.1 128
7.3 odd 6 inner 231.2.ba.a.52.1 yes 128
11.7 odd 10 inner 231.2.ba.a.40.1 yes 128
21.17 even 6 693.2.cg.c.514.16 128
33.29 even 10 693.2.cg.c.271.16 128
77.73 even 30 inner 231.2.ba.a.73.16 yes 128
231.227 odd 30 693.2.cg.c.73.1 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
231.2.ba.a.19.16 128 1.1 even 1 trivial
231.2.ba.a.40.1 yes 128 11.7 odd 10 inner
231.2.ba.a.52.1 yes 128 7.3 odd 6 inner
231.2.ba.a.73.16 yes 128 77.73 even 30 inner
693.2.cg.c.19.1 128 3.2 odd 2
693.2.cg.c.73.1 128 231.227 odd 30
693.2.cg.c.271.16 128 33.29 even 10
693.2.cg.c.514.16 128 21.17 even 6