Properties

Label 430.2.x.a.3.12
Level $430$
Weight $2$
Character 430.3
Analytic conductor $3.434$
Analytic rank $0$
Dimension $528$
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] = [430,2,Mod(3,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.x (of order \(84\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(528\)
Relative dimension: \(22\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 3.12
Character \(\chi\) \(=\) 430.3
Dual form 430.2.x.a.287.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.330279 + 0.943883i) q^{2} +(-1.92406 - 2.23579i) q^{3} +(-0.781831 + 0.623490i) q^{4} +(-2.01247 - 0.974668i) q^{5} +(1.47485 - 2.55452i) q^{6} +(-0.743303 + 2.77404i) q^{7} +(-0.846724 - 0.532032i) q^{8} +(-0.849656 + 5.63710i) q^{9} +O(q^{10})\) \(q+(0.330279 + 0.943883i) q^{2} +(-1.92406 - 2.23579i) q^{3} +(-0.781831 + 0.623490i) q^{4} +(-2.01247 - 0.974668i) q^{5} +(1.47485 - 2.55452i) q^{6} +(-0.743303 + 2.77404i) q^{7} +(-0.846724 - 0.532032i) q^{8} +(-0.849656 + 5.63710i) q^{9} +(0.255297 - 2.22145i) q^{10} +(1.14468 - 1.43539i) q^{11} +(2.89828 + 0.548385i) q^{12} +(4.87313 + 0.182340i) q^{13} +(-2.86387 + 0.214617i) q^{14} +(1.69294 + 6.37478i) q^{15} +(0.222521 - 0.974928i) q^{16} +(-1.87355 + 3.54493i) q^{17} +(-5.60139 + 1.05984i) q^{18} +(3.59719 - 0.542190i) q^{19} +(2.18111 - 0.492727i) q^{20} +(7.63235 - 3.67555i) q^{21} +(1.73290 + 0.606370i) q^{22} +(-2.16790 + 4.96888i) q^{23} +(0.439631 + 2.91676i) q^{24} +(3.10005 + 3.92297i) q^{25} +(1.43738 + 4.65989i) q^{26} +(6.74542 - 4.23843i) q^{27} +(-1.14845 - 2.63228i) q^{28} +(0.471753 + 6.29511i) q^{29} +(-5.45790 + 3.70340i) q^{30} +(4.57683 - 3.12043i) q^{31} +(0.993712 - 0.111964i) q^{32} +(-5.41167 + 0.202490i) q^{33} +(-3.96479 - 0.597596i) q^{34} +(4.19964 - 4.85820i) q^{35} +(-2.85039 - 4.93701i) q^{36} +(-2.74180 + 0.734664i) q^{37} +(1.69984 + 3.21626i) q^{38} +(-8.96850 - 11.2461i) q^{39} +(1.18545 + 1.89597i) q^{40} +(6.95453 + 3.34912i) q^{41} +(5.99009 + 5.99009i) q^{42} +(-5.02098 + 4.21779i) q^{43} +1.83593i q^{44} +(7.20420 - 10.5163i) q^{45} +(-5.40606 - 0.405128i) q^{46} +(-11.3246 - 1.27597i) q^{47} +(-2.60788 + 1.37831i) q^{48} +(-1.08064 - 0.623908i) q^{49} +(-2.67895 + 4.22176i) q^{50} +(11.5305 - 2.63177i) q^{51} +(-3.92365 + 2.89579i) q^{52} +(0.0890153 + 2.37898i) q^{53} +(6.22845 + 4.96702i) q^{54} +(-3.70267 + 1.77299i) q^{55} +(2.10525 - 1.95339i) q^{56} +(-8.13343 - 6.99938i) q^{57} +(-5.78604 + 2.52442i) q^{58} +(1.58818 + 0.362491i) q^{59} +(-5.29821 - 3.92847i) q^{60} +(-4.82569 + 7.07799i) q^{61} +(4.45695 + 3.28938i) q^{62} +(-15.0060 - 6.54705i) q^{63} +(0.433884 + 0.900969i) q^{64} +(-9.62929 - 5.11663i) q^{65} +(-1.97849 - 5.04111i) q^{66} +(3.47283 - 4.70551i) q^{67} +(-0.745426 - 3.93967i) q^{68} +(15.2806 - 4.71343i) q^{69} +(5.97263 + 2.35941i) q^{70} +(-15.6711 - 6.15046i) q^{71} +(3.71854 - 4.32102i) q^{72} +(0.0295794 - 0.790527i) q^{73} +(-1.59900 - 2.34530i) q^{74} +(2.80630 - 14.4791i) q^{75} +(-2.47435 + 2.66671i) q^{76} +(3.13098 + 4.24233i) q^{77} +(7.65294 - 12.1796i) q^{78} +(7.83013 - 4.52073i) q^{79} +(-1.39805 + 1.74513i) q^{80} +(-6.11231 - 1.88540i) q^{81} +(-0.864248 + 7.67041i) q^{82} +(7.82024 - 6.72986i) q^{83} +(-3.67555 + 7.63235i) q^{84} +(7.22558 - 5.30796i) q^{85} +(-5.63943 - 3.34617i) q^{86} +(13.1669 - 13.1669i) q^{87} +(-1.73290 + 0.606370i) q^{88} +(-0.882883 + 11.7813i) q^{89} +(12.3056 + 3.32660i) q^{90} +(-4.12803 + 13.3827i) q^{91} +(-1.40311 - 5.23649i) q^{92} +(-15.7827 - 4.22897i) q^{93} +(-2.53590 - 11.1105i) q^{94} +(-7.76769 - 2.41493i) q^{95} +(-2.16229 - 2.00631i) q^{96} +(0.597445 + 5.30247i) q^{97} +(0.231983 - 1.22606i) q^{98} +(7.11884 + 7.67229i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 528 q - 4 q^{6} - 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 528 q - 4 q^{6} - 12 q^{7} + 40 q^{13} + 88 q^{16} - 4 q^{17} + 16 q^{21} - 12 q^{23} + 8 q^{25} - 12 q^{28} + 36 q^{30} - 72 q^{31} - 124 q^{33} + 40 q^{35} - 268 q^{36} - 44 q^{38} + 56 q^{41} - 168 q^{43} - 24 q^{46} - 72 q^{47} - 24 q^{50} + 280 q^{51} + 16 q^{52} - 132 q^{53} - 24 q^{55} + 8 q^{56} - 20 q^{57} - 8 q^{60} - 72 q^{61} + 48 q^{62} - 84 q^{65} - 72 q^{66} - 40 q^{67} - 32 q^{68} - 24 q^{71} + 192 q^{73} + 48 q^{76} - 148 q^{77} - 40 q^{78} + 56 q^{82} - 28 q^{83} - 20 q^{86} - 216 q^{87} + 8 q^{90} - 48 q^{91} + 12 q^{92} + 108 q^{93} - 4 q^{95} + 4 q^{96} - 120 q^{97} + 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.330279 + 0.943883i 0.233543 + 0.667426i
\(3\) −1.92406 2.23579i −1.11085 1.29084i −0.952865 0.303396i \(-0.901880\pi\)
−0.157990 0.987441i \(-0.550501\pi\)
\(4\) −0.781831 + 0.623490i −0.390916 + 0.311745i
\(5\) −2.01247 0.974668i −0.900003 0.435885i
\(6\) 1.47485 2.55452i 0.602106 1.04288i
\(7\) −0.743303 + 2.77404i −0.280942 + 1.04849i 0.670812 + 0.741628i \(0.265946\pi\)
−0.951754 + 0.306862i \(0.900721\pi\)
\(8\) −0.846724 0.532032i −0.299362 0.188102i
\(9\) −0.849656 + 5.63710i −0.283219 + 1.87903i
\(10\) 0.255297 2.22145i 0.0807319 0.702483i
\(11\) 1.14468 1.43539i 0.345135 0.432786i −0.578721 0.815526i \(-0.696448\pi\)
0.923856 + 0.382740i \(0.125019\pi\)
\(12\) 2.89828 + 0.548385i 0.836662 + 0.158305i
\(13\) 4.87313 + 0.182340i 1.35156 + 0.0505719i 0.703326 0.710867i \(-0.251697\pi\)
0.648236 + 0.761439i \(0.275507\pi\)
\(14\) −2.86387 + 0.214617i −0.765402 + 0.0573589i
\(15\) 1.69294 + 6.37478i 0.437116 + 1.64596i
\(16\) 0.222521 0.974928i 0.0556302 0.243732i
\(17\) −1.87355 + 3.54493i −0.454402 + 0.859771i 0.545365 + 0.838199i \(0.316391\pi\)
−0.999767 + 0.0215723i \(0.993133\pi\)
\(18\) −5.60139 + 1.05984i −1.32026 + 0.249807i
\(19\) 3.59719 0.542190i 0.825253 0.124387i 0.277180 0.960818i \(-0.410600\pi\)
0.548072 + 0.836431i \(0.315362\pi\)
\(20\) 2.18111 0.492727i 0.487710 0.110177i
\(21\) 7.63235 3.67555i 1.66551 0.802070i
\(22\) 1.73290 + 0.606370i 0.369457 + 0.129278i
\(23\) −2.16790 + 4.96888i −0.452039 + 1.03608i 0.530102 + 0.847934i \(0.322154\pi\)
−0.982140 + 0.188149i \(0.939751\pi\)
\(24\) 0.439631 + 2.91676i 0.0897393 + 0.595381i
\(25\) 3.10005 + 3.92297i 0.620009 + 0.784595i
\(26\) 1.43738 + 4.65989i 0.281894 + 0.913879i
\(27\) 6.74542 4.23843i 1.29816 0.815686i
\(28\) −1.14845 2.63228i −0.217037 0.497453i
\(29\) 0.471753 + 6.29511i 0.0876024 + 1.16897i 0.851756 + 0.523939i \(0.175538\pi\)
−0.764154 + 0.645034i \(0.776843\pi\)
\(30\) −5.45790 + 3.70340i −0.996472 + 0.676145i
\(31\) 4.57683 3.12043i 0.822023 0.560446i −0.0776647 0.996980i \(-0.524746\pi\)
0.899688 + 0.436534i \(0.143794\pi\)
\(32\) 0.993712 0.111964i 0.175665 0.0197927i
\(33\) −5.41167 + 0.202490i −0.942051 + 0.0352491i
\(34\) −3.96479 0.597596i −0.679956 0.102487i
\(35\) 4.19964 4.85820i 0.709869 0.821185i
\(36\) −2.85039 4.93701i −0.475064 0.822836i
\(37\) −2.74180 + 0.734664i −0.450750 + 0.120778i −0.477050 0.878876i \(-0.658294\pi\)
0.0263004 + 0.999654i \(0.491627\pi\)
\(38\) 1.69984 + 3.21626i 0.275751 + 0.521746i
\(39\) −8.96850 11.2461i −1.43611 1.80082i
\(40\) 1.18545 + 1.89597i 0.187436 + 0.299779i
\(41\) 6.95453 + 3.34912i 1.08611 + 0.523045i 0.889267 0.457389i \(-0.151215\pi\)
0.196848 + 0.980434i \(0.436929\pi\)
\(42\) 5.99009 + 5.99009i 0.924291 + 0.924291i
\(43\) −5.02098 + 4.21779i −0.765693 + 0.643207i
\(44\) 1.83593i 0.276777i
\(45\) 7.20420 10.5163i 1.07394 1.56768i
\(46\) −5.40606 0.405128i −0.797080 0.0597329i
\(47\) −11.3246 1.27597i −1.65186 0.186120i −0.763672 0.645604i \(-0.776606\pi\)
−0.888186 + 0.459484i \(0.848034\pi\)
\(48\) −2.60788 + 1.37831i −0.376415 + 0.198941i
\(49\) −1.08064 0.623908i −0.154377 0.0891297i
\(50\) −2.67895 + 4.22176i −0.378860 + 0.597047i
\(51\) 11.5305 2.63177i 1.61460 0.368522i
\(52\) −3.92365 + 2.89579i −0.544112 + 0.401573i
\(53\) 0.0890153 + 2.37898i 0.0122272 + 0.326778i 0.991966 + 0.126501i \(0.0403748\pi\)
−0.979739 + 0.200277i \(0.935816\pi\)
\(54\) 6.22845 + 4.96702i 0.847585 + 0.675926i
\(55\) −3.70267 + 1.77299i −0.499267 + 0.239069i
\(56\) 2.10525 1.95339i 0.281326 0.261033i
\(57\) −8.13343 6.99938i −1.07730 0.927091i
\(58\) −5.78604 + 2.52442i −0.759744 + 0.331473i
\(59\) 1.58818 + 0.362491i 0.206763 + 0.0471924i 0.324648 0.945835i \(-0.394754\pi\)
−0.117885 + 0.993027i \(0.537611\pi\)
\(60\) −5.29821 3.92847i −0.683996 0.507163i
\(61\) −4.82569 + 7.07799i −0.617866 + 0.906243i −0.999839 0.0179301i \(-0.994292\pi\)
0.381973 + 0.924174i \(0.375245\pi\)
\(62\) 4.45695 + 3.28938i 0.566034 + 0.417752i
\(63\) −15.0060 6.54705i −1.89058 0.824851i
\(64\) 0.433884 + 0.900969i 0.0542355 + 0.112621i
\(65\) −9.62929 5.11663i −1.19437 0.634640i
\(66\) −1.97849 5.04111i −0.243535 0.620518i
\(67\) 3.47283 4.70551i 0.424273 0.574870i −0.539368 0.842070i \(-0.681337\pi\)
0.963641 + 0.267201i \(0.0860986\pi\)
\(68\) −0.745426 3.93967i −0.0903962 0.477756i
\(69\) 15.2806 4.71343i 1.83956 0.567430i
\(70\) 5.97263 + 2.35941i 0.713865 + 0.282004i
\(71\) −15.6711 6.15046i −1.85982 0.729925i −0.946538 0.322593i \(-0.895446\pi\)
−0.913280 0.407332i \(-0.866459\pi\)
\(72\) 3.71854 4.32102i 0.438234 0.509238i
\(73\) 0.0295794 0.790527i 0.00346201 0.0925242i −0.996498 0.0836132i \(-0.973354\pi\)
0.999960 0.00891100i \(-0.00283650\pi\)
\(74\) −1.59900 2.34530i −0.185880 0.272636i
\(75\) 2.80630 14.4791i 0.324043 1.67190i
\(76\) −2.47435 + 2.66671i −0.283827 + 0.305893i
\(77\) 3.13098 + 4.24233i 0.356809 + 0.483459i
\(78\) 7.65294 12.1796i 0.866525 1.37907i
\(79\) 7.83013 4.52073i 0.880959 0.508622i 0.00998442 0.999950i \(-0.496822\pi\)
0.870974 + 0.491328i \(0.163488\pi\)
\(80\) −1.39805 + 1.74513i −0.156306 + 0.195111i
\(81\) −6.11231 1.88540i −0.679146 0.209489i
\(82\) −0.864248 + 7.67041i −0.0954402 + 0.847055i
\(83\) 7.82024 6.72986i 0.858383 0.738698i −0.108452 0.994102i \(-0.534589\pi\)
0.966835 + 0.255404i \(0.0822084\pi\)
\(84\) −3.67555 + 7.63235i −0.401035 + 0.832757i
\(85\) 7.22558 5.30796i 0.783724 0.575729i
\(86\) −5.63943 3.34617i −0.608115 0.360827i
\(87\) 13.1669 13.1669i 1.41164 1.41164i
\(88\) −1.73290 + 0.606370i −0.184728 + 0.0646392i
\(89\) −0.882883 + 11.7813i −0.0935854 + 1.24881i 0.730725 + 0.682672i \(0.239182\pi\)
−0.824310 + 0.566138i \(0.808437\pi\)
\(90\) 12.3056 + 3.32660i 1.29712 + 0.350654i
\(91\) −4.12803 + 13.3827i −0.432735 + 1.40289i
\(92\) −1.40311 5.23649i −0.146285 0.545942i
\(93\) −15.7827 4.22897i −1.63659 0.438524i
\(94\) −2.53590 11.1105i −0.261558 1.14596i
\(95\) −7.76769 2.41493i −0.796948 0.247766i
\(96\) −2.16229 2.00631i −0.220688 0.204768i
\(97\) 0.597445 + 5.30247i 0.0606613 + 0.538384i 0.986887 + 0.161414i \(0.0516055\pi\)
−0.926225 + 0.376970i \(0.876966\pi\)
\(98\) 0.231983 1.22606i 0.0234339 0.123851i
\(99\) 7.11884 + 7.67229i 0.715470 + 0.771094i
\(100\) −4.86965 1.13426i −0.486965 0.113426i
\(101\) 0.217299 0.553669i 0.0216221 0.0550921i −0.919655 0.392727i \(-0.871532\pi\)
0.941277 + 0.337635i \(0.109627\pi\)
\(102\) 6.29238 + 10.0143i 0.623038 + 0.991560i
\(103\) 17.6203 + 9.31258i 1.73618 + 0.917596i 0.956657 + 0.291217i \(0.0940603\pi\)
0.779519 + 0.626378i \(0.215464\pi\)
\(104\) −4.02918 2.74705i −0.395094 0.269371i
\(105\) −18.9423 0.0420893i −1.84858 0.00410749i
\(106\) −2.21608 + 0.869748i −0.215245 + 0.0844774i
\(107\) −4.23928 + 12.1152i −0.409827 + 1.17122i 0.535342 + 0.844635i \(0.320183\pi\)
−0.945169 + 0.326582i \(0.894103\pi\)
\(108\) −2.63116 + 7.51944i −0.253184 + 0.723558i
\(109\) −4.66475 + 1.83078i −0.446802 + 0.175357i −0.578065 0.815991i \(-0.696192\pi\)
0.131263 + 0.991348i \(0.458097\pi\)
\(110\) −2.89640 2.90930i −0.276161 0.277391i
\(111\) 6.91795 + 4.71658i 0.656622 + 0.447678i
\(112\) 2.53909 + 1.34195i 0.239922 + 0.126802i
\(113\) 6.62971 + 10.5511i 0.623670 + 0.992566i 0.997871 + 0.0652181i \(0.0207743\pi\)
−0.374201 + 0.927348i \(0.622083\pi\)
\(114\) 3.92030 9.98876i 0.367169 0.935533i
\(115\) 9.20584 7.88673i 0.858449 0.735441i
\(116\) −4.29377 4.62758i −0.398667 0.429660i
\(117\) −5.16835 + 27.3154i −0.477814 + 2.52531i
\(118\) 0.182393 + 1.61878i 0.0167906 + 0.149021i
\(119\) −8.44117 7.83226i −0.773800 0.717982i
\(120\) 1.95813 6.29838i 0.178752 0.574961i
\(121\) 1.69769 + 7.43807i 0.154336 + 0.676188i
\(122\) −8.27462 2.21718i −0.749149 0.200734i
\(123\) −5.89295 21.9928i −0.531350 1.98302i
\(124\) −1.63275 + 5.29326i −0.146626 + 0.475349i
\(125\) −2.41515 10.9164i −0.216017 0.976390i
\(126\) 1.22349 16.3263i 0.108997 1.45446i
\(127\) −3.46910 + 1.21389i −0.307832 + 0.107715i −0.479774 0.877392i \(-0.659282\pi\)
0.171942 + 0.985107i \(0.444996\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 19.0908 + 3.11062i 1.68085 + 0.273875i
\(130\) 1.64915 10.7788i 0.144640 0.945367i
\(131\) 5.78329 12.0091i 0.505288 1.04924i −0.479829 0.877362i \(-0.659301\pi\)
0.985118 0.171880i \(-0.0549843\pi\)
\(132\) 4.10476 3.53244i 0.357274 0.307459i
\(133\) −1.16975 + 10.3818i −0.101430 + 0.900214i
\(134\) 5.58846 + 1.72381i 0.482769 + 0.148915i
\(135\) −17.7060 + 1.95515i −1.52389 + 0.168273i
\(136\) 3.47239 2.00479i 0.297755 0.171909i
\(137\) 11.5616 18.4002i 0.987778 1.57204i 0.179063 0.983838i \(-0.442693\pi\)
0.808714 0.588202i \(-0.200164\pi\)
\(138\) 9.49578 + 12.8663i 0.808334 + 1.09525i
\(139\) 2.15103 2.31826i 0.182448 0.196632i −0.635205 0.772344i \(-0.719084\pi\)
0.817653 + 0.575711i \(0.195275\pi\)
\(140\) −0.254376 + 6.41673i −0.0214987 + 0.542312i
\(141\) 18.9363 + 27.7745i 1.59472 + 2.33903i
\(142\) 0.629475 16.8231i 0.0528243 1.41176i
\(143\) 5.83992 6.78611i 0.488359 0.567483i
\(144\) 5.30670 + 2.08273i 0.442225 + 0.173561i
\(145\) 5.18625 13.1285i 0.430695 1.09026i
\(146\) 0.755935 0.233175i 0.0625616 0.0192977i
\(147\) 0.684283 + 3.61652i 0.0564387 + 0.298286i
\(148\) 1.68557 2.28387i 0.138553 0.187733i
\(149\) 4.74255 + 12.0838i 0.388525 + 0.989945i 0.982633 + 0.185560i \(0.0594099\pi\)
−0.594108 + 0.804385i \(0.702495\pi\)
\(150\) 14.5934 2.13332i 1.19155 0.174185i
\(151\) 3.44103 + 7.14536i 0.280027 + 0.581482i 0.992782 0.119931i \(-0.0382674\pi\)
−0.712755 + 0.701413i \(0.752553\pi\)
\(152\) −3.33429 1.45474i −0.270447 0.117995i
\(153\) −18.3912 13.5733i −1.48684 1.09734i
\(154\) −2.97017 + 4.35644i −0.239343 + 0.351052i
\(155\) −12.2521 + 1.81887i −0.984113 + 0.146096i
\(156\) 14.0237 + 3.20082i 1.12280 + 0.256271i
\(157\) −1.88760 + 0.823553i −0.150647 + 0.0657267i −0.473863 0.880599i \(-0.657141\pi\)
0.323216 + 0.946325i \(0.395236\pi\)
\(158\) 6.85317 + 5.89763i 0.545209 + 0.469190i
\(159\) 5.14765 4.77632i 0.408235 0.378787i
\(160\) −2.10894 0.743214i −0.166726 0.0587562i
\(161\) −12.1725 9.70723i −0.959326 0.765037i
\(162\) −0.239173 6.39202i −0.0187912 0.502204i
\(163\) −3.07114 + 2.26660i −0.240550 + 0.177534i −0.707423 0.706790i \(-0.750142\pi\)
0.466873 + 0.884324i \(0.345381\pi\)
\(164\) −7.52541 + 1.71763i −0.587636 + 0.134124i
\(165\) 11.0882 + 4.86708i 0.863213 + 0.378901i
\(166\) 8.93506 + 5.15866i 0.693495 + 0.400390i
\(167\) −21.7158 + 11.4771i −1.68042 + 0.888127i −0.694787 + 0.719215i \(0.744502\pi\)
−0.985631 + 0.168912i \(0.945975\pi\)
\(168\) −8.41800 0.948481i −0.649463 0.0731769i
\(169\) 10.7505 + 0.805636i 0.826959 + 0.0619720i
\(170\) 7.39655 + 5.06699i 0.567290 + 0.388621i
\(171\) 20.7384i 1.58591i
\(172\) 1.29581 6.42813i 0.0988048 0.490140i
\(173\) −8.03083 8.03083i −0.610573 0.610573i 0.332522 0.943095i \(-0.392100\pi\)
−0.943095 + 0.332522i \(0.892100\pi\)
\(174\) 16.7768 + 8.07926i 1.27184 + 0.612487i
\(175\) −13.1868 + 5.68371i −0.996826 + 0.429648i
\(176\) −1.14468 1.43539i −0.0862838 0.108196i
\(177\) −2.24529 4.24830i −0.168766 0.319321i
\(178\) −11.4117 + 3.05776i −0.855345 + 0.229189i
\(179\) −4.70041 8.14136i −0.351325 0.608513i 0.635157 0.772383i \(-0.280936\pi\)
−0.986482 + 0.163870i \(0.947602\pi\)
\(180\) 0.924361 + 12.7138i 0.0688978 + 0.947627i
\(181\) 1.06691 + 0.160811i 0.0793027 + 0.0119530i 0.188574 0.982059i \(-0.439614\pi\)
−0.109271 + 0.994012i \(0.534852\pi\)
\(182\) −13.9951 + 0.523661i −1.03739 + 0.0388163i
\(183\) 25.1098 2.82920i 1.85617 0.209140i
\(184\) 4.47922 3.05388i 0.330212 0.225135i
\(185\) 6.23384 + 1.19386i 0.458321 + 0.0877744i
\(186\) −1.22105 16.2938i −0.0895318 1.19472i
\(187\) 2.94373 + 6.74709i 0.215267 + 0.493396i
\(188\) 9.64946 6.06316i 0.703759 0.442201i
\(189\) 6.74369 + 21.8625i 0.490532 + 1.59026i
\(190\) −0.286093 8.12939i −0.0207554 0.589768i
\(191\) −2.83970 18.8402i −0.205473 1.36323i −0.819109 0.573637i \(-0.805532\pi\)
0.613636 0.789589i \(-0.289706\pi\)
\(192\) 1.17956 2.70359i 0.0851277 0.195115i
\(193\) −25.3192 8.85957i −1.82252 0.637726i −0.997343 0.0728437i \(-0.976793\pi\)
−0.825172 0.564882i \(-0.808922\pi\)
\(194\) −4.80759 + 2.31521i −0.345165 + 0.166223i
\(195\) 7.08756 + 31.3738i 0.507551 + 2.24672i
\(196\) 1.23388 0.185977i 0.0881341 0.0132841i
\(197\) 6.43173 1.21695i 0.458242 0.0867040i 0.0483345 0.998831i \(-0.484609\pi\)
0.409907 + 0.912127i \(0.365561\pi\)
\(198\) −4.89054 + 9.25335i −0.347555 + 0.657607i
\(199\) −1.28471 + 5.62869i −0.0910708 + 0.399007i −0.999832 0.0183084i \(-0.994172\pi\)
0.908762 + 0.417316i \(0.137029\pi\)
\(200\) −0.537737 4.97100i −0.0380237 0.351503i
\(201\) −17.2025 + 1.28915i −1.21337 + 0.0909294i
\(202\) 0.594368 + 0.0222397i 0.0418196 + 0.00156478i
\(203\) −17.8136 3.37051i −1.25027 0.236563i
\(204\) −7.37406 + 9.24678i −0.516287 + 0.647404i
\(205\) −10.7315 13.5184i −0.749519 0.944163i
\(206\) −2.97039 + 19.7072i −0.206957 + 1.37307i
\(207\) −26.1681 16.4425i −1.81881 1.14283i
\(208\) 1.26214 4.71037i 0.0875137 0.326606i
\(209\) 3.33940 5.78400i 0.230991 0.400088i
\(210\) −6.21651 17.8932i −0.428980 1.23475i
\(211\) −10.8595 + 8.66016i −0.747599 + 0.596190i −0.921411 0.388589i \(-0.872963\pi\)
0.173813 + 0.984779i \(0.444391\pi\)
\(212\) −1.55287 1.80446i −0.106651 0.123931i
\(213\) 16.4009 + 46.8712i 1.12377 + 3.21156i
\(214\) −12.8354 −0.877413
\(215\) 14.2155 3.59437i 0.969489 0.245134i
\(216\) −7.96649 −0.542051
\(217\) 5.25424 + 15.0158i 0.356681 + 1.01934i
\(218\) −3.26871 3.79831i −0.221385 0.257254i
\(219\) −1.82437 + 1.45489i −0.123279 + 0.0983121i
\(220\) 1.78942 3.69475i 0.120643 0.249100i
\(221\) −9.77642 + 16.9333i −0.657633 + 1.13905i
\(222\) −2.16704 + 8.08752i −0.145443 + 0.542799i
\(223\) 13.8374 + 8.69463i 0.926622 + 0.582235i 0.908630 0.417603i \(-0.137130\pi\)
0.0179925 + 0.999838i \(0.494272\pi\)
\(224\) −0.428035 + 2.83982i −0.0285993 + 0.189744i
\(225\) −24.7482 + 14.1421i −1.64988 + 0.942806i
\(226\) −7.76937 + 9.74248i −0.516811 + 0.648060i
\(227\) 5.73540 + 1.08520i 0.380672 + 0.0720270i 0.372726 0.927941i \(-0.378423\pi\)
0.00794576 + 0.999968i \(0.497471\pi\)
\(228\) 10.7230 + 0.401227i 0.710149 + 0.0265719i
\(229\) 11.9514 0.895635i 0.789772 0.0591852i 0.326265 0.945278i \(-0.394210\pi\)
0.463507 + 0.886093i \(0.346591\pi\)
\(230\) 10.4846 + 6.08441i 0.691337 + 0.401194i
\(231\) 3.46079 15.1627i 0.227703 0.997634i
\(232\) 2.94976 5.58121i 0.193661 0.366424i
\(233\) 3.58195 0.677742i 0.234661 0.0444003i −0.0672507 0.997736i \(-0.521423\pi\)
0.301912 + 0.953336i \(0.402375\pi\)
\(234\) −27.4895 + 4.14338i −1.79705 + 0.270861i
\(235\) 21.5467 + 13.6055i 1.40555 + 0.887528i
\(236\) −1.46770 + 0.706806i −0.0955390 + 0.0460092i
\(237\) −25.1730 8.80843i −1.63517 0.572169i
\(238\) 4.60480 10.5543i 0.298485 0.684134i
\(239\) −1.90145 12.6153i −0.122995 0.816016i −0.962228 0.272245i \(-0.912234\pi\)
0.839233 0.543771i \(-0.183004\pi\)
\(240\) 6.59167 0.231977i 0.425490 0.0149740i
\(241\) −5.37630 17.4295i −0.346318 1.12273i −0.946455 0.322837i \(-0.895363\pi\)
0.600137 0.799897i \(-0.295113\pi\)
\(242\) −6.45996 + 4.05906i −0.415262 + 0.260926i
\(243\) −2.01213 4.61185i −0.129078 0.295851i
\(244\) −0.640177 8.54256i −0.0409831 0.546881i
\(245\) 1.56665 + 2.30886i 0.100090 + 0.147508i
\(246\) 18.8123 12.8260i 1.19943 0.817757i
\(247\) 17.6284 1.98625i 1.12167 0.126382i
\(248\) −5.53548 + 0.207123i −0.351504 + 0.0131523i
\(249\) −30.0932 4.53582i −1.90708 0.287446i
\(250\) 9.50610 5.88506i 0.601219 0.372204i
\(251\) 6.96412 + 12.0622i 0.439572 + 0.761360i 0.997656 0.0684237i \(-0.0217970\pi\)
−0.558085 + 0.829784i \(0.688464\pi\)
\(252\) 15.8142 4.23740i 0.996200 0.266931i
\(253\) 4.65071 + 8.79958i 0.292388 + 0.553225i
\(254\) −2.29154 2.87350i −0.143784 0.180299i
\(255\) −25.7699 5.94209i −1.61378 0.372108i
\(256\) −0.900969 0.433884i −0.0563106 0.0271177i
\(257\) 5.31399 + 5.31399i 0.331477 + 0.331477i 0.853147 0.521670i \(-0.174691\pi\)
−0.521670 + 0.853147i \(0.674691\pi\)
\(258\) 3.36922 + 19.0468i 0.209758 + 1.18580i
\(259\) 8.15196i 0.506538i
\(260\) 10.7186 2.00342i 0.664742 0.124247i
\(261\) −35.8870 2.68936i −2.22135 0.166467i
\(262\) 13.2453 + 1.49239i 0.818298 + 0.0922001i
\(263\) 0.343265 0.181421i 0.0211666 0.0111869i −0.456652 0.889645i \(-0.650951\pi\)
0.477818 + 0.878459i \(0.341428\pi\)
\(264\) 4.68993 + 2.70773i 0.288645 + 0.166649i
\(265\) 2.13958 4.87439i 0.131433 0.299431i
\(266\) −10.1855 + 2.32478i −0.624515 + 0.142541i
\(267\) 28.0392 20.6939i 1.71597 1.26644i
\(268\) 0.218674 + 5.84419i 0.0133576 + 0.356991i
\(269\) −13.4065 10.6913i −0.817408 0.651861i 0.122812 0.992430i \(-0.460809\pi\)
−0.940220 + 0.340569i \(0.889380\pi\)
\(270\) −7.69336 16.0666i −0.468203 0.977785i
\(271\) −7.08545 + 6.57434i −0.430410 + 0.399362i −0.865407 0.501070i \(-0.832940\pi\)
0.434997 + 0.900432i \(0.356750\pi\)
\(272\) 3.03914 + 2.61539i 0.184275 + 0.158582i
\(273\) 37.8636 16.5197i 2.29161 0.999819i
\(274\) 21.1863 + 4.83562i 1.27991 + 0.292131i
\(275\) 9.17956 + 0.0407937i 0.553549 + 0.00245995i
\(276\) −9.00805 + 13.2124i −0.542221 + 0.795292i
\(277\) −6.29474 4.64573i −0.378214 0.279135i 0.388078 0.921626i \(-0.373139\pi\)
−0.766293 + 0.642491i \(0.777901\pi\)
\(278\) 2.89861 + 1.26465i 0.173847 + 0.0758487i
\(279\) 13.7014 + 28.4514i 0.820284 + 1.70334i
\(280\) −6.14066 + 1.87921i −0.366974 + 0.112304i
\(281\) 2.22238 + 5.66254i 0.132576 + 0.337799i 0.981711 0.190378i \(-0.0609712\pi\)
−0.849135 + 0.528176i \(0.822876\pi\)
\(282\) −19.9616 + 27.0470i −1.18869 + 1.61062i
\(283\) −0.361291 1.90947i −0.0214765 0.113506i 0.970188 0.242354i \(-0.0779196\pi\)
−0.991664 + 0.128848i \(0.958872\pi\)
\(284\) 16.0869 4.96215i 0.954582 0.294450i
\(285\) 9.54618 + 22.0134i 0.565467 + 1.30396i
\(286\) 8.33410 + 3.27089i 0.492806 + 0.193412i
\(287\) −14.4599 + 16.8028i −0.853543 + 0.991835i
\(288\) −0.213159 + 5.69679i −0.0125605 + 0.335686i
\(289\) 0.520123 + 0.762880i 0.0305955 + 0.0448753i
\(290\) 14.1047 + 0.559147i 0.828256 + 0.0328342i
\(291\) 10.7057 11.5380i 0.627580 0.676371i
\(292\) 0.469760 + 0.636502i 0.0274906 + 0.0372484i
\(293\) 4.11101 6.54264i 0.240168 0.382225i −0.704791 0.709415i \(-0.748959\pi\)
0.944958 + 0.327191i \(0.106102\pi\)
\(294\) −3.18757 + 1.84034i −0.185903 + 0.107331i
\(295\) −2.84285 2.27745i −0.165517 0.132598i
\(296\) 2.71242 + 0.836670i 0.157656 + 0.0486305i
\(297\) 1.63758 14.5340i 0.0950223 0.843346i
\(298\) −9.83935 + 8.46745i −0.569978 + 0.490506i
\(299\) −11.4705 + 23.8187i −0.663355 + 1.37747i
\(300\) 6.83351 + 13.0699i 0.394533 + 0.754591i
\(301\) −7.96822 17.0635i −0.459281 0.983525i
\(302\) −5.60789 + 5.60789i −0.322698 + 0.322698i
\(303\) −1.65599 + 0.579455i −0.0951339 + 0.0332888i
\(304\) 0.271855 3.62765i 0.0155919 0.208060i
\(305\) 16.6102 9.54077i 0.951099 0.546303i
\(306\) 6.73742 21.8422i 0.385152 1.24863i
\(307\) −5.30566 19.8010i −0.302810 1.13010i −0.934814 0.355137i \(-0.884434\pi\)
0.632005 0.774965i \(-0.282232\pi\)
\(308\) −5.09295 1.36465i −0.290198 0.0777583i
\(309\) −13.0814 57.3132i −0.744173 3.26044i
\(310\) −5.76342 10.9638i −0.327340 0.622703i
\(311\) 22.2625 + 20.6566i 1.26239 + 1.17133i 0.977075 + 0.212897i \(0.0682898\pi\)
0.285318 + 0.958433i \(0.407901\pi\)
\(312\) 1.61054 + 14.2939i 0.0911787 + 0.809233i
\(313\) 5.43776 28.7392i 0.307360 1.62444i −0.399255 0.916840i \(-0.630731\pi\)
0.706615 0.707598i \(-0.250221\pi\)
\(314\) −1.40077 1.50968i −0.0790503 0.0851959i
\(315\) 23.8179 + 27.8016i 1.34199 + 1.56644i
\(316\) −3.30322 + 8.41646i −0.185820 + 0.473463i
\(317\) 12.8980 + 20.5271i 0.724426 + 1.15292i 0.982404 + 0.186767i \(0.0598008\pi\)
−0.257978 + 0.966151i \(0.583056\pi\)
\(318\) 6.20845 + 3.28126i 0.348152 + 0.184004i
\(319\) 9.57594 + 6.52877i 0.536150 + 0.365541i
\(320\) 0.00496847 2.23606i 0.000277746 0.125000i
\(321\) 35.2436 13.8321i 1.96711 0.772033i
\(322\) 5.14218 14.6955i 0.286562 0.818948i
\(323\) −4.81749 + 13.7676i −0.268052 + 0.766050i
\(324\) 5.95433 2.33690i 0.330796 0.129828i
\(325\) 14.3916 + 19.6824i 0.798303 + 1.09178i
\(326\) −3.15374 2.15019i −0.174670 0.119088i
\(327\) 13.0685 + 6.90689i 0.722689 + 0.381952i
\(328\) −4.10673 6.53582i −0.226756 0.360880i
\(329\) 11.9572 30.4664i 0.659221 1.67967i
\(330\) −0.931761 + 12.0734i −0.0512917 + 0.664621i
\(331\) 15.0935 + 16.2670i 0.829615 + 0.894112i 0.995760 0.0919889i \(-0.0293224\pi\)
−0.166145 + 0.986101i \(0.553132\pi\)
\(332\) −1.91811 + 10.1375i −0.105270 + 0.556365i
\(333\) −1.81179 16.0800i −0.0992852 0.881181i
\(334\) −18.0053 16.7065i −0.985209 0.914140i
\(335\) −11.5753 + 6.08484i −0.632424 + 0.332450i
\(336\) −1.88503 8.25887i −0.102837 0.450559i
\(337\) 10.4273 + 2.79397i 0.568009 + 0.152198i 0.531383 0.847132i \(-0.321672\pi\)
0.0366256 + 0.999329i \(0.488339\pi\)
\(338\) 2.79023 + 10.4133i 0.151768 + 0.566407i
\(339\) 10.8342 35.1236i 0.588433 1.90765i
\(340\) −2.33973 + 8.65500i −0.126889 + 0.469384i
\(341\) 0.759996 10.1414i 0.0411561 0.549190i
\(342\) −19.5746 + 6.84946i −1.05848 + 0.370376i
\(343\) −11.6812 + 11.6812i −0.630725 + 0.630725i
\(344\) 6.49539 0.899981i 0.350208 0.0485237i
\(345\) −35.3457 5.40785i −1.90295 0.291149i
\(346\) 4.92775 10.2326i 0.264918 0.550107i
\(347\) 10.2323 8.80565i 0.549301 0.472712i −0.333309 0.942818i \(-0.608165\pi\)
0.882610 + 0.470106i \(0.155784\pi\)
\(348\) −2.08487 + 18.5037i −0.111761 + 0.991904i
\(349\) −18.9838 5.85574i −1.01618 0.313450i −0.258455 0.966023i \(-0.583213\pi\)
−0.757726 + 0.652573i \(0.773690\pi\)
\(350\) −9.72007 10.5696i −0.519560 0.564967i
\(351\) 33.6441 19.4244i 1.79579 1.03680i
\(352\) 0.976774 1.55453i 0.0520622 0.0828566i
\(353\) 4.81679 + 6.52652i 0.256372 + 0.347372i 0.913814 0.406134i \(-0.133123\pi\)
−0.657442 + 0.753505i \(0.728361\pi\)
\(354\) 3.26832 3.52241i 0.173709 0.187214i
\(355\) 25.5429 + 27.6517i 1.35568 + 1.46760i
\(356\) −6.65522 9.76142i −0.352726 0.517354i
\(357\) −1.27004 + 33.9424i −0.0672174 + 1.79642i
\(358\) 6.13204 7.12556i 0.324088 0.376598i
\(359\) −27.5625 10.8175i −1.45469 0.570924i −0.499342 0.866405i \(-0.666425\pi\)
−0.955349 + 0.295481i \(0.904520\pi\)
\(360\) −11.6950 + 5.07158i −0.616381 + 0.267296i
\(361\) −5.51006 + 1.69963i −0.290003 + 0.0894541i
\(362\) 0.200591 + 1.06015i 0.0105428 + 0.0557203i
\(363\) 13.3635 18.1070i 0.701404 0.950369i
\(364\) −5.11658 13.0368i −0.268181 0.683315i
\(365\) −0.830029 + 1.56208i −0.0434457 + 0.0817630i
\(366\) 10.9637 + 22.7663i 0.573081 + 1.19001i
\(367\) −8.45707 3.68978i −0.441455 0.192605i 0.167395 0.985890i \(-0.446464\pi\)
−0.608851 + 0.793285i \(0.708369\pi\)
\(368\) 4.36190 + 3.21923i 0.227380 + 0.167814i
\(369\) −24.7883 + 36.3578i −1.29043 + 1.89271i
\(370\) 0.932043 + 6.27833i 0.0484546 + 0.326395i
\(371\) −6.66557 1.52137i −0.346059 0.0789857i
\(372\) 14.9762 6.53403i 0.776477 0.338774i
\(373\) −4.46147 3.83940i −0.231006 0.198797i 0.529167 0.848518i \(-0.322505\pi\)
−0.760173 + 0.649721i \(0.774886\pi\)
\(374\) −5.39622 + 5.00696i −0.279032 + 0.258904i
\(375\) −19.7599 + 26.4035i −1.02040 + 1.36347i
\(376\) 8.90993 + 7.10543i 0.459494 + 0.366435i
\(377\) 1.15107 + 30.7629i 0.0592829 + 1.58437i
\(378\) −18.4084 + 13.5860i −0.946824 + 0.698788i
\(379\) 20.6404 4.71103i 1.06022 0.241989i 0.343361 0.939204i \(-0.388435\pi\)
0.716863 + 0.697214i \(0.245577\pi\)
\(380\) 7.57870 2.95501i 0.388779 0.151589i
\(381\) 9.38874 + 5.42059i 0.481000 + 0.277705i
\(382\) 16.8450 8.90285i 0.861866 0.455510i
\(383\) 27.3078 + 3.07685i 1.39536 + 0.157220i 0.777410 0.628995i \(-0.216533\pi\)
0.617954 + 0.786214i \(0.287962\pi\)
\(384\) 2.94146 + 0.220432i 0.150106 + 0.0112489i
\(385\) −2.16614 11.5892i −0.110397 0.590641i
\(386\) 26.8245i 1.36533i
\(387\) −19.5100 31.8874i −0.991748 1.62093i
\(388\) −3.77314 3.77314i −0.191552 0.191552i
\(389\) −32.0500 15.4345i −1.62500 0.782559i −0.999998 0.00193657i \(-0.999384\pi\)
−0.625003 0.780623i \(-0.714902\pi\)
\(390\) −27.2723 + 17.0519i −1.38099 + 0.863458i
\(391\) −13.5527 16.9945i −0.685387 0.859448i
\(392\) 0.583065 + 1.10321i 0.0294492 + 0.0557206i
\(393\) −37.9773 + 10.1760i −1.91570 + 0.513311i
\(394\) 3.27292 + 5.66887i 0.164888 + 0.285594i
\(395\) −20.1641 + 1.46604i −1.01457 + 0.0737646i
\(396\) −10.3493 1.55991i −0.520073 0.0783884i
\(397\) 32.2247 1.20576i 1.61731 0.0605155i 0.786688 0.617351i \(-0.211794\pi\)
0.830623 + 0.556835i \(0.187984\pi\)
\(398\) −5.73714 + 0.646420i −0.287577 + 0.0324021i
\(399\) 25.4622 17.3598i 1.27470 0.869078i
\(400\) 4.51444 2.14938i 0.225722 0.107469i
\(401\) −2.78667 37.1856i −0.139160 1.85696i −0.433366 0.901218i \(-0.642674\pi\)
0.294206 0.955742i \(-0.404945\pi\)
\(402\) −6.89842 15.8114i −0.344062 0.788598i
\(403\) 22.8725 14.3717i 1.13936 0.715906i
\(404\) 0.175316 + 0.568360i 0.00872229 + 0.0282770i
\(405\) 10.4632 + 9.75178i 0.519920 + 0.484570i
\(406\) −2.70208 17.9271i −0.134102 0.889709i
\(407\) −2.08397 + 4.77651i −0.103299 + 0.236763i
\(408\) −11.1634 3.90623i −0.552669 0.193387i
\(409\) 17.0413 8.20666i 0.842639 0.405793i 0.0377987 0.999285i \(-0.487965\pi\)
0.804840 + 0.593492i \(0.202251\pi\)
\(410\) 9.21537 14.5941i 0.455115 0.720751i
\(411\) −63.3844 + 9.55367i −3.12652 + 0.471248i
\(412\) −19.5824 + 3.70519i −0.964754 + 0.182541i
\(413\) −2.18606 + 4.13624i −0.107569 + 0.203531i
\(414\) 6.87704 30.1303i 0.337988 1.48082i
\(415\) −22.2973 + 5.92149i −1.09453 + 0.290674i
\(416\) 4.86290 0.364424i 0.238423 0.0178674i
\(417\) −9.32186 0.348799i −0.456494 0.0170808i
\(418\) 6.56236 + 1.24167i 0.320975 + 0.0607318i
\(419\) −8.68103 + 10.8857i −0.424096 + 0.531799i −0.947274 0.320424i \(-0.896175\pi\)
0.523178 + 0.852223i \(0.324746\pi\)
\(420\) 14.8359 11.7774i 0.723919 0.574679i
\(421\) 2.96359 19.6621i 0.144436 0.958273i −0.792776 0.609513i \(-0.791365\pi\)
0.937212 0.348759i \(-0.113397\pi\)
\(422\) −11.7608 7.38983i −0.572509 0.359731i
\(423\) 16.8148 62.7536i 0.817562 3.05118i
\(424\) 1.19032 2.06170i 0.0578072 0.100125i
\(425\) −19.7147 + 3.63956i −0.956305 + 0.176544i
\(426\) −38.8241 + 30.9612i −1.88103 + 1.50007i
\(427\) −16.0477 18.6478i −0.776602 0.902428i
\(428\) −4.23928 12.1152i −0.204913 0.585609i
\(429\) −26.4087 −1.27502
\(430\) 8.08775 + 12.2306i 0.390026 + 0.589813i
\(431\) −19.8569 −0.956474 −0.478237 0.878231i \(-0.658724\pi\)
−0.478237 + 0.878231i \(0.658724\pi\)
\(432\) −2.63116 7.51944i −0.126592 0.361779i
\(433\) 1.46752 + 1.70529i 0.0705246 + 0.0819511i 0.792126 0.610358i \(-0.208974\pi\)
−0.721601 + 0.692309i \(0.756593\pi\)
\(434\) −12.4378 + 9.91878i −0.597031 + 0.476117i
\(435\) −39.3313 + 13.6646i −1.88579 + 0.655167i
\(436\) 2.50557 4.33978i 0.119995 0.207838i
\(437\) −5.10428 + 19.0494i −0.244171 + 0.911258i
\(438\) −1.97579 1.24147i −0.0944071 0.0593199i
\(439\) −2.62330 + 17.4044i −0.125203 + 0.830669i 0.834775 + 0.550592i \(0.185598\pi\)
−0.959978 + 0.280077i \(0.909640\pi\)
\(440\) 4.07842 + 0.468707i 0.194431 + 0.0223447i
\(441\) 4.43520 5.56157i 0.211200 0.264837i
\(442\) −19.2120 3.63510i −0.913820 0.172904i
\(443\) 10.1149 + 0.378474i 0.480575 + 0.0179818i 0.276582 0.960990i \(-0.410798\pi\)
0.203993 + 0.978972i \(0.434608\pi\)
\(444\) −8.34941 + 0.625701i −0.396245 + 0.0296945i
\(445\) 13.2596 22.8489i 0.628564 1.08314i
\(446\) −3.63650 + 15.9326i −0.172193 + 0.754429i
\(447\) 17.8920 33.8533i 0.846263 1.60121i
\(448\) −2.82183 + 0.533920i −0.133319 + 0.0252253i
\(449\) −1.18355 + 0.178392i −0.0558553 + 0.00841883i −0.176910 0.984227i \(-0.556610\pi\)
0.121055 + 0.992646i \(0.461372\pi\)
\(450\) −21.5223 18.6885i −1.01457 0.880986i
\(451\) 12.7680 6.14876i 0.601223 0.289534i
\(452\) −11.7618 4.11564i −0.553230 0.193584i
\(453\) 9.35484 21.4415i 0.439529 1.00741i
\(454\) 0.869984 + 5.77196i 0.0408304 + 0.270892i
\(455\) 21.3512 22.9089i 1.00096 1.07398i
\(456\) 3.16287 + 10.2538i 0.148115 + 0.480178i
\(457\) 4.26560 2.68025i 0.199536 0.125377i −0.428558 0.903514i \(-0.640978\pi\)
0.628094 + 0.778137i \(0.283835\pi\)
\(458\) 4.79268 + 10.9849i 0.223947 + 0.513292i
\(459\) 2.38705 + 31.8529i 0.111418 + 1.48677i
\(460\) −2.28012 + 11.9058i −0.106311 + 0.555112i
\(461\) −3.02180 + 2.06023i −0.140739 + 0.0959545i −0.631643 0.775259i \(-0.717619\pi\)
0.490904 + 0.871214i \(0.336667\pi\)
\(462\) 15.4549 1.74135i 0.719026 0.0810147i
\(463\) −38.1131 + 1.42609i −1.77127 + 0.0662761i −0.902953 0.429740i \(-0.858605\pi\)
−0.868313 + 0.496016i \(0.834796\pi\)
\(464\) 6.24226 + 0.940869i 0.289789 + 0.0436787i
\(465\) 27.6404 + 23.8936i 1.28179 + 1.10804i
\(466\) 1.82275 + 3.15710i 0.0844374 + 0.146250i
\(467\) 30.8448 8.26483i 1.42732 0.382451i 0.539249 0.842147i \(-0.318708\pi\)
0.888076 + 0.459696i \(0.152042\pi\)
\(468\) −12.9901 24.5784i −0.600467 1.13614i
\(469\) 10.4719 + 13.1314i 0.483549 + 0.606351i
\(470\) −5.72563 + 24.8312i −0.264104 + 1.14538i
\(471\) 5.47316 + 2.63573i 0.252190 + 0.121448i
\(472\) −1.15189 1.15189i −0.0530201 0.0530201i
\(473\) 0.306728 + 12.0351i 0.0141033 + 0.553374i
\(474\) 26.6697i 1.22498i
\(475\) 13.2785 + 12.4309i 0.609257 + 0.570368i
\(476\) 11.4829 + 0.860524i 0.526318 + 0.0394421i
\(477\) −13.4862 1.51953i −0.617491 0.0695745i
\(478\) 11.2794 5.96132i 0.515906 0.272664i
\(479\) −15.3991 8.89070i −0.703605 0.406226i 0.105084 0.994463i \(-0.466489\pi\)
−0.808689 + 0.588237i \(0.799822\pi\)
\(480\) 2.39605 + 6.14515i 0.109364 + 0.280486i
\(481\) −13.4951 + 3.08017i −0.615325 + 0.140444i
\(482\) 14.6758 10.8312i 0.668463 0.493348i
\(483\) 1.71717 + 45.8924i 0.0781341 + 2.08818i
\(484\) −5.96487 4.75683i −0.271131 0.216219i
\(485\) 3.96581 11.2534i 0.180078 0.510989i
\(486\) 3.68849 3.42242i 0.167313 0.155244i
\(487\) −1.36100 1.17124i −0.0616729 0.0530738i 0.620911 0.783881i \(-0.286763\pi\)
−0.682584 + 0.730807i \(0.739144\pi\)
\(488\) 7.85174 3.42568i 0.355432 0.155073i
\(489\) 10.9767 + 2.50536i 0.496384 + 0.113296i
\(490\) −1.66186 + 2.24130i −0.0750752 + 0.101252i
\(491\) −3.54133 + 5.19417i −0.159818 + 0.234410i −0.897792 0.440419i \(-0.854830\pi\)
0.737975 + 0.674828i \(0.235782\pi\)
\(492\) 18.3196 + 13.5205i 0.825911 + 0.609550i
\(493\) −23.1996 10.1219i −1.04486 0.455866i
\(494\) 7.69709 + 15.9832i 0.346308 + 0.719117i
\(495\) −6.84850 22.3787i −0.307817 1.00585i
\(496\) −2.02375 5.15644i −0.0908693 0.231531i
\(497\) 28.7100 38.9007i 1.28782 1.74493i
\(498\) −5.65786 29.9025i −0.253535 1.33996i
\(499\) −15.2890 + 4.71605i −0.684432 + 0.211119i −0.617421 0.786633i \(-0.711822\pi\)
−0.0670109 + 0.997752i \(0.521346\pi\)
\(500\) 8.69448 + 7.02894i 0.388829 + 0.314344i
\(501\) 67.4429 + 26.4694i 3.01313 + 1.18257i
\(502\) −9.08522 + 10.5572i −0.405493 + 0.471192i
\(503\) −1.23942 + 33.1242i −0.0552629 + 1.47693i 0.645621 + 0.763658i \(0.276599\pi\)
−0.700884 + 0.713275i \(0.747211\pi\)
\(504\) 9.22271 + 13.5272i 0.410812 + 0.602551i
\(505\) −0.976951 + 0.902446i −0.0434737 + 0.0401583i
\(506\) −6.76974 + 7.29605i −0.300952 + 0.324349i
\(507\) −18.8833 25.5859i −0.838636 1.13631i
\(508\) 1.95540 3.11200i 0.0867569 0.138073i
\(509\) 6.78373 3.91659i 0.300684 0.173600i −0.342066 0.939676i \(-0.611127\pi\)
0.642750 + 0.766076i \(0.277793\pi\)
\(510\) −2.90263 26.2864i −0.128530 1.16398i
\(511\) 2.17097 + 0.669656i 0.0960381 + 0.0296238i
\(512\) 0.111964 0.993712i 0.00494818 0.0439163i
\(513\) 21.9665 18.9037i 0.969846 0.834620i
\(514\) −3.26069 + 6.77088i −0.143823 + 0.298651i
\(515\) −26.3835 35.9152i −1.16260 1.58261i
\(516\) −16.8652 + 9.47092i −0.742449 + 0.416934i
\(517\) −14.7946 + 14.7946i −0.650665 + 0.650665i
\(518\) 7.69450 2.69242i 0.338077 0.118298i
\(519\) −2.50351 + 33.4071i −0.109892 + 1.46641i
\(520\) 5.43114 + 9.45546i 0.238171 + 0.414650i
\(521\) −5.99288 + 19.4284i −0.262553 + 0.851175i 0.724291 + 0.689495i \(0.242167\pi\)
−0.986843 + 0.161680i \(0.948309\pi\)
\(522\) −9.31428 34.7614i −0.407675 1.52146i
\(523\) −18.3123 4.90677i −0.800741 0.214558i −0.164832 0.986322i \(-0.552708\pi\)
−0.635909 + 0.771764i \(0.719375\pi\)
\(524\) 2.96601 + 12.9949i 0.129571 + 0.567686i
\(525\) 38.0797 + 18.5471i 1.66193 + 0.809463i
\(526\) 0.284613 + 0.264083i 0.0124097 + 0.0115145i
\(527\) 2.48678 + 22.0708i 0.108326 + 0.961419i
\(528\) −1.00680 + 5.32105i −0.0438152 + 0.231569i
\(529\) −4.34601 4.68389i −0.188957 0.203647i
\(530\) 5.30751 + 0.409604i 0.230543 + 0.0177921i
\(531\) −3.39281 + 8.64473i −0.147235 + 0.375149i
\(532\) −5.55839 8.84613i −0.240987 0.383528i
\(533\) 33.2796 + 17.5888i 1.44150 + 0.761855i
\(534\) 28.7933 + 19.6310i 1.24601 + 0.849515i
\(535\) 20.3397 20.2495i 0.879361 0.875461i
\(536\) −5.44401 + 2.13662i −0.235145 + 0.0922878i
\(537\) −9.15854 + 26.1736i −0.395220 + 1.12947i
\(538\) 5.66347 16.1853i 0.244170 0.697797i
\(539\) −2.13254 + 0.836961i −0.0918550 + 0.0360504i
\(540\) 12.6241 12.5681i 0.543254 0.540845i
\(541\) 20.6688 + 14.0918i 0.888622 + 0.605852i 0.919248 0.393679i \(-0.128798\pi\)
−0.0306263 + 0.999531i \(0.509750\pi\)
\(542\) −8.54558 4.51647i −0.367064 0.193999i
\(543\) −1.69325 2.69480i −0.0726645 0.115645i
\(544\) −1.46486 + 3.73241i −0.0628054 + 0.160026i
\(545\) 11.1720 + 0.862197i 0.478558 + 0.0369325i
\(546\) 28.0982 + 30.2827i 1.20249 + 1.29598i
\(547\) 1.73324 9.16037i 0.0741078 0.391669i −0.925799 0.378016i \(-0.876606\pi\)
0.999907 0.0136529i \(-0.00434600\pi\)
\(548\) 2.43311 + 21.5945i 0.103937 + 0.922470i
\(549\) −35.7991 33.2168i −1.52787 1.41766i
\(550\) 2.99331 + 8.67791i 0.127635 + 0.370027i
\(551\) 5.11013 + 22.3889i 0.217699 + 0.953801i
\(552\) −15.4461 4.13877i −0.657430 0.176158i
\(553\) 6.72054 + 25.0814i 0.285786 + 1.06657i
\(554\) 2.30601 7.47589i 0.0979728 0.317620i
\(555\) −9.32505 16.2347i −0.395826 0.689123i
\(556\) −0.236332 + 3.15364i −0.0100227 + 0.133744i
\(557\) 14.1409 4.94813i 0.599171 0.209659i −0.0136158 0.999907i \(-0.504334\pi\)
0.612787 + 0.790248i \(0.290048\pi\)
\(558\) −22.3295 + 22.3295i −0.945281 + 0.945281i
\(559\) −25.2370 + 19.6383i −1.06741 + 0.830611i
\(560\) −3.80188 5.17540i −0.160659 0.218701i
\(561\) 9.42121 19.5634i 0.397764 0.825965i
\(562\) −4.61077 + 3.96789i −0.194494 + 0.167375i
\(563\) 3.55331 31.5365i 0.149754 1.32910i −0.663930 0.747795i \(-0.731113\pi\)
0.813684 0.581308i \(-0.197459\pi\)
\(564\) −32.1221 9.90835i −1.35258 0.417217i
\(565\) −3.05823 27.6955i −0.128661 1.16516i
\(566\) 1.68299 0.971675i 0.0707413 0.0408425i
\(567\) 9.77348 15.5544i 0.410448 0.653224i
\(568\) 9.99686 + 13.5453i 0.419459 + 0.568347i
\(569\) −18.4470 + 19.8812i −0.773340 + 0.833463i −0.989746 0.142841i \(-0.954376\pi\)
0.216405 + 0.976304i \(0.430567\pi\)
\(570\) −17.6252 + 16.2811i −0.738238 + 0.681938i
\(571\) 6.23294 + 9.14205i 0.260840 + 0.382583i 0.934210 0.356723i \(-0.116106\pi\)
−0.673370 + 0.739306i \(0.735154\pi\)
\(572\) −0.334763 + 8.94672i −0.0139971 + 0.374081i
\(573\) −36.6590 + 42.5985i −1.53145 + 1.77958i
\(574\) −20.6357 8.09890i −0.861315 0.338041i
\(575\) −26.2134 + 6.89915i −1.09317 + 0.287714i
\(576\) −5.44750 + 1.68033i −0.226979 + 0.0700138i
\(577\) −3.19334 16.8772i −0.132940 0.702607i −0.984088 0.177681i \(-0.943140\pi\)
0.851148 0.524926i \(-0.175907\pi\)
\(578\) −0.548284 + 0.742899i −0.0228056 + 0.0309005i
\(579\) 28.9074 + 73.6548i 1.20135 + 3.06099i
\(580\) 4.13071 + 13.4979i 0.171519 + 0.560468i
\(581\) 12.8561 + 26.6960i 0.533362 + 1.10754i
\(582\) 14.4264 + 6.29418i 0.597994 + 0.260902i
\(583\) 3.51666 + 2.59541i 0.145645 + 0.107491i
\(584\) −0.445631 + 0.653621i −0.0184404 + 0.0270470i
\(585\) 37.0245 49.9339i 1.53078 2.06451i
\(586\) 7.53327 + 1.71942i 0.311196 + 0.0710285i
\(587\) −15.9513 + 6.95948i −0.658381 + 0.287248i −0.702400 0.711782i \(-0.747888\pi\)
0.0440197 + 0.999031i \(0.485984\pi\)
\(588\) −2.78986 2.40087i −0.115052 0.0990101i
\(589\) 14.7719 13.7063i 0.608665 0.564758i
\(590\) 1.21071 3.43551i 0.0498442 0.141438i
\(591\) −15.0959 12.0385i −0.620961 0.495200i
\(592\) 0.106136 + 2.83654i 0.00436216 + 0.116581i
\(593\) 31.1364 22.9797i 1.27862 0.943665i 0.278760 0.960361i \(-0.410077\pi\)
0.999861 + 0.0166960i \(0.00531474\pi\)
\(594\) 14.2592 3.25457i 0.585063 0.133537i
\(595\) 9.35372 + 23.9895i 0.383465 + 0.983473i
\(596\) −11.2420 6.49058i −0.460491 0.265865i
\(597\) 15.0565 7.95757i 0.616220 0.325682i
\(598\) −26.2705 2.95998i −1.07428 0.121042i
\(599\) 30.8124 + 2.30907i 1.25896 + 0.0943459i 0.687439 0.726242i \(-0.258735\pi\)
0.571520 + 0.820588i \(0.306354\pi\)
\(600\) −10.0795 + 10.7668i −0.411494 + 0.439551i
\(601\) 22.7944i 0.929802i 0.885363 + 0.464901i \(0.153910\pi\)
−0.885363 + 0.464901i \(0.846090\pi\)
\(602\) 13.4742 13.1568i 0.549169 0.536231i
\(603\) 23.5747 + 23.5747i 0.960037 + 0.960037i
\(604\) −7.14536 3.44103i −0.290741 0.140013i
\(605\) 3.83310 16.6236i 0.155838 0.675844i
\(606\) −1.09388 1.37168i −0.0444356 0.0557205i
\(607\) −7.50384 14.1980i −0.304571 0.576277i 0.683559 0.729895i \(-0.260431\pi\)
−0.988130 + 0.153618i \(0.950907\pi\)
\(608\) 3.51387 0.941538i 0.142506 0.0381844i
\(609\) 26.7386 + 46.3125i 1.08350 + 1.87668i
\(610\) 14.4914 + 12.5270i 0.586739 + 0.507203i
\(611\) −54.9534 8.28289i −2.22318 0.335090i
\(612\) 22.8417 0.854676i 0.923320 0.0345482i
\(613\) 25.3326 2.85430i 1.02317 0.115284i 0.415600 0.909548i \(-0.363572\pi\)
0.607573 + 0.794264i \(0.292143\pi\)
\(614\) 16.9375 11.5478i 0.683541 0.466030i
\(615\) −9.57630 + 50.0035i −0.386154 + 2.01633i
\(616\) −0.394023 5.25787i −0.0158756 0.211846i
\(617\) −10.1825 23.3385i −0.409931 0.939572i −0.991977 0.126416i \(-0.959653\pi\)
0.582046 0.813156i \(-0.302252\pi\)
\(618\) 49.7765 31.2766i 2.00230 1.25813i
\(619\) −9.13808 29.6249i −0.367291 1.19073i −0.931082 0.364810i \(-0.881134\pi\)
0.563792 0.825917i \(-0.309342\pi\)
\(620\) 8.44503 9.06112i 0.339161 0.363903i
\(621\) 6.43685 + 42.7057i 0.258302 + 1.71372i
\(622\) −12.1446 + 27.8357i −0.486954 + 1.11611i
\(623\) −32.0255 11.2062i −1.28307 0.448967i
\(624\) −12.9599 + 6.24114i −0.518810 + 0.249845i
\(625\) −5.77943 + 24.3228i −0.231177 + 0.972912i
\(626\) 28.9225 4.35936i 1.15597 0.174235i
\(627\) −19.3570 + 3.66255i −0.773046 + 0.146268i
\(628\) 0.962312 1.82078i 0.0384004 0.0726571i
\(629\) 2.53257 11.0959i 0.100980 0.442423i
\(630\) −18.3749 + 31.6636i −0.732074 + 1.26151i
\(631\) 3.82626 0.286738i 0.152321 0.0114149i 0.00164859 0.999999i \(-0.499475\pi\)
0.150672 + 0.988584i \(0.451856\pi\)
\(632\) −9.03514 0.338071i −0.359398 0.0134477i
\(633\) 40.2566 + 7.61697i 1.60006 + 0.302747i
\(634\) −15.1152 + 18.9539i −0.600303 + 0.752756i
\(635\) 8.16458 + 0.938303i 0.324001 + 0.0372354i
\(636\) −1.04661 + 6.94378i −0.0415007 + 0.275339i
\(637\) −5.15233 3.23742i −0.204143 0.128271i
\(638\) −2.99966 + 11.1949i −0.118758 + 0.443210i
\(639\) 47.9858 83.1138i 1.89829 3.28793i
\(640\) 2.11222 0.733835i 0.0834929 0.0290074i
\(641\) 19.2510 15.3522i 0.760370 0.606375i −0.164624 0.986356i \(-0.552641\pi\)
0.924994 + 0.379982i \(0.124070\pi\)
\(642\) 24.6961 + 28.6974i 0.974679 + 1.13260i
\(643\) −8.14212 23.2689i −0.321094 0.917634i −0.985412 0.170184i \(-0.945564\pi\)
0.664318 0.747450i \(-0.268722\pi\)
\(644\) 15.5692 0.613512
\(645\) −35.3877 24.8672i −1.39339 0.979144i
\(646\) −14.5861 −0.573883
\(647\) −1.71875 4.91190i −0.0675709 0.193107i 0.905147 0.425100i \(-0.139761\pi\)
−0.972717 + 0.231993i \(0.925475\pi\)
\(648\) 4.17235 + 4.84836i 0.163905 + 0.190462i
\(649\) 2.33828 1.86472i 0.0917855 0.0731965i
\(650\) −13.8246 + 20.0847i −0.542247 + 0.787786i
\(651\) 23.4627 40.6386i 0.919575 1.59275i
\(652\) 0.987909 3.68693i 0.0386895 0.144391i
\(653\) 8.60772 + 5.40859i 0.336846 + 0.211654i 0.689824 0.723977i \(-0.257688\pi\)
−0.352978 + 0.935632i \(0.614831\pi\)
\(654\) −2.20306 + 14.6163i −0.0861463 + 0.571543i
\(655\) −23.3436 + 18.5312i −0.912109 + 0.724073i
\(656\) 4.81268 6.03491i 0.187904 0.235624i
\(657\) 4.43115 + 0.838419i 0.172876 + 0.0327098i
\(658\) 32.7059 + 1.22377i 1.27501 + 0.0477075i
\(659\) 9.52157 0.713543i 0.370908 0.0277957i 0.112027 0.993705i \(-0.464266\pi\)
0.258880 + 0.965909i \(0.416647\pi\)
\(660\) −11.7037 + 3.10813i −0.455564 + 0.120984i
\(661\) −0.861827 + 3.77591i −0.0335212 + 0.146866i −0.988919 0.148456i \(-0.952570\pi\)
0.955398 + 0.295322i \(0.0954268\pi\)
\(662\) −10.3690 + 19.6192i −0.403004 + 0.762520i
\(663\) 56.6697 10.7225i 2.20087 0.416427i
\(664\) −10.2021 + 1.53772i −0.395918 + 0.0596750i
\(665\) 12.4729 19.7529i 0.483677 0.765984i
\(666\) 14.5793 7.02101i 0.564936 0.272059i
\(667\) −32.3024 11.3031i −1.25075 0.437657i
\(668\) 9.82222 22.5128i 0.380033 0.871045i
\(669\) −7.18458 47.6666i −0.277772 1.84290i
\(670\) −9.56644 8.91600i −0.369584 0.344455i
\(671\) 4.63577 + 15.0288i 0.178962 + 0.580180i
\(672\) 7.17283 4.50699i 0.276698 0.173861i
\(673\) −0.0925131 0.212042i −0.00356612 0.00817363i 0.914770 0.403975i \(-0.132372\pi\)
−0.918336 + 0.395801i \(0.870467\pi\)
\(674\) 0.806718 + 10.7649i 0.0310736 + 0.414649i
\(675\) 37.5383 + 13.3228i 1.44485 + 0.512794i
\(676\) −8.90736 + 6.07294i −0.342591 + 0.233574i
\(677\) 36.4620 4.10828i 1.40135 0.157894i 0.621280 0.783589i \(-0.286613\pi\)
0.780068 + 0.625695i \(0.215184\pi\)
\(678\) 36.7309 1.37437i 1.41064 0.0527825i
\(679\) −15.1534 2.28400i −0.581533 0.0876520i
\(680\) −8.94208 + 0.650139i −0.342913 + 0.0249317i
\(681\) −8.60896 14.9112i −0.329896 0.571397i
\(682\) 9.82335 2.63216i 0.376155 0.100791i
\(683\) −6.52560 12.3470i −0.249695 0.472446i 0.727126 0.686504i \(-0.240856\pi\)
−0.976821 + 0.214058i \(0.931332\pi\)
\(684\) −12.9302 16.2139i −0.494398 0.619955i
\(685\) −41.2015 + 25.7611i −1.57423 + 0.984282i
\(686\) −14.8837 7.16763i −0.568264 0.273661i
\(687\) −24.9977 24.9977i −0.953720 0.953720i
\(688\) 2.99477 + 5.83364i 0.114174 + 0.222405i
\(689\) 11.6093i 0.442280i
\(690\) −6.56955 35.1483i −0.250099 1.33807i
\(691\) −26.9336 2.01839i −1.02460 0.0767832i −0.448186 0.893940i \(-0.647930\pi\)
−0.576415 + 0.817157i \(0.695549\pi\)
\(692\) 11.2859 + 1.27162i 0.429026 + 0.0483396i
\(693\) −26.5747 + 14.0451i −1.00949 + 0.533531i
\(694\) 11.6910 + 6.74982i 0.443786 + 0.256220i
\(695\) −6.58841 + 2.56888i −0.249913 + 0.0974433i
\(696\) −18.1539 + 4.14352i −0.688123 + 0.157060i
\(697\) −24.9020 + 18.3785i −0.943232 + 0.696137i
\(698\) −0.742830 19.8526i −0.0281165 0.751430i
\(699\) −8.40717 6.70449i −0.317988 0.253587i
\(700\) 6.76610 12.6655i 0.255734 0.478712i
\(701\) −1.70914 + 1.58585i −0.0645535 + 0.0598969i −0.711790 0.702393i \(-0.752115\pi\)
0.647236 + 0.762289i \(0.275925\pi\)
\(702\) 29.4464 + 25.3406i 1.11138 + 0.956421i
\(703\) −9.46447 + 4.12931i −0.356959 + 0.155740i
\(704\) 1.78990 + 0.408533i 0.0674594 + 0.0153972i
\(705\) −11.0378 74.3518i −0.415708 2.80025i
\(706\) −4.56939 + 6.70206i −0.171971 + 0.252235i
\(707\) 1.37438 + 1.01434i 0.0516890 + 0.0381482i
\(708\) 4.40421 + 1.92154i 0.165520 + 0.0722157i
\(709\) 17.6677 + 36.6873i 0.663523 + 1.37782i 0.912406 + 0.409286i \(0.134222\pi\)
−0.248883 + 0.968534i \(0.580063\pi\)
\(710\) −17.6637 + 33.2423i −0.662906 + 1.24756i
\(711\) 18.8309 + 47.9803i 0.706213 + 1.79940i
\(712\) 7.01556 9.50575i 0.262919 0.356243i
\(713\) 5.58293 + 29.5065i 0.209083 + 1.10503i
\(714\) −32.4572 + 10.0117i −1.21468 + 0.374679i
\(715\) −18.3668 + 7.96484i −0.686881 + 0.297868i
\(716\) 8.75098 + 3.43451i 0.327040 + 0.128354i
\(717\) −24.5467 + 28.5238i −0.916714 + 1.06524i
\(718\) 1.10712 29.5885i 0.0413175 1.10423i
\(719\) 9.64432 + 14.1456i 0.359673 + 0.527543i 0.962840 0.270072i \(-0.0870474\pi\)
−0.603168 + 0.797614i \(0.706095\pi\)
\(720\) −8.64959 9.36369i −0.322351 0.348964i
\(721\) −38.9307 + 41.9573i −1.44985 + 1.56257i
\(722\) −3.42411 4.63950i −0.127432 0.172664i
\(723\) −28.6245 + 45.5557i −1.06456 + 1.69423i
\(724\) −0.934407 + 0.539480i −0.0347270 + 0.0200496i
\(725\) −23.2331 + 21.3658i −0.862855 + 0.793506i
\(726\) 21.5046 + 6.63328i 0.798109 + 0.246184i
\(727\) −1.39018 + 12.3382i −0.0515591 + 0.457599i 0.941234 + 0.337756i \(0.109668\pi\)
−0.992793 + 0.119843i \(0.961761\pi\)
\(728\) 10.6153 9.13524i 0.393431 0.338575i
\(729\) −14.7657 + 30.6613i −0.546878 + 1.13560i
\(730\) −1.74856 0.267528i −0.0647172 0.00990166i
\(731\) −5.54470 25.7012i −0.205078 0.950595i
\(732\) −17.8677 + 17.8677i −0.660408 + 0.660408i
\(733\) −35.0125 + 12.2514i −1.29321 + 0.452515i −0.887214 0.461358i \(-0.847363\pi\)
−0.406000 + 0.913873i \(0.633077\pi\)
\(734\) 0.689530 9.20114i 0.0254510 0.339620i
\(735\) 2.14781 7.94508i 0.0792232 0.293059i
\(736\) −1.59793 + 5.18037i −0.0589005 + 0.190951i
\(737\) −2.77895 10.3712i −0.102364 0.382027i
\(738\) −42.5046 11.3891i −1.56461 0.419237i
\(739\) 10.7726 + 47.1979i 0.396277 + 1.73620i 0.641857 + 0.766825i \(0.278164\pi\)
−0.245580 + 0.969376i \(0.578978\pi\)
\(740\) −5.61818 + 2.95334i −0.206528 + 0.108567i
\(741\) −38.3590 35.5919i −1.40915 1.30750i
\(742\) −0.765500 6.79400i −0.0281024 0.249415i
\(743\) −5.91800 + 31.2774i −0.217110 + 1.14746i 0.689112 + 0.724655i \(0.258001\pi\)
−0.906223 + 0.422801i \(0.861047\pi\)
\(744\) 11.1137 + 11.9777i 0.407447 + 0.439123i
\(745\) 2.23348 28.9407i 0.0818285 1.06031i
\(746\) 2.15042 5.47918i 0.0787324 0.200607i
\(747\) 31.2924 + 49.8015i 1.14493 + 1.82214i
\(748\) −6.50824 3.43971i −0.237965 0.125768i
\(749\) −30.4569 20.7652i −1.11287 0.758743i
\(750\) −31.4481 9.93050i −1.14832 0.362611i
\(751\) 36.0548 14.1505i 1.31566 0.516358i 0.399338 0.916804i \(-0.369240\pi\)
0.916320 + 0.400446i \(0.131145\pi\)
\(752\) −3.76393 + 10.7567i −0.137257 + 0.392257i
\(753\) 13.5693 38.7787i 0.494492 1.41318i
\(754\) −28.6564 + 11.2468i −1.04361 + 0.409585i
\(755\) 0.0394038 17.7337i 0.00143405 0.645394i
\(756\) −18.9035 12.8882i −0.687513 0.468739i
\(757\) 5.59019 + 2.95450i 0.203179 + 0.107383i 0.565763 0.824568i \(-0.308582\pi\)
−0.362584 + 0.931951i \(0.618105\pi\)
\(758\) 11.2637 + 17.9261i 0.409117 + 0.651106i
\(759\) 10.7258 27.3289i 0.389322 0.991977i
\(760\) 5.29227 + 6.17744i 0.191971 + 0.224079i
\(761\) −24.9010 26.8369i −0.902661 0.972837i 0.0970869 0.995276i \(-0.469048\pi\)
−0.999748 + 0.0224384i \(0.992857\pi\)
\(762\) −2.01550 + 10.6522i −0.0730139 + 0.385888i
\(763\) −1.61134 14.3010i −0.0583344 0.517732i
\(764\) 13.9668 + 12.9593i 0.505302 + 0.468851i
\(765\) 23.7822 + 45.2412i 0.859849 + 1.63570i
\(766\) 6.11501 + 26.7916i 0.220944 + 0.968020i
\(767\) 7.67330 + 2.05605i 0.277067 + 0.0742398i
\(768\) 0.763440 + 2.84920i 0.0275483 + 0.102812i
\(769\) −2.34450 + 7.60068i −0.0845448 + 0.274088i −0.987967 0.154664i \(-0.950570\pi\)
0.903422 + 0.428752i \(0.141047\pi\)
\(770\) 10.2234 5.87226i 0.368427 0.211621i
\(771\) 1.65657 22.1054i 0.0596599 0.796106i
\(772\) 25.3192 8.85957i 0.911258 0.318863i
\(773\) 8.92931 8.92931i 0.321165 0.321165i −0.528049 0.849214i \(-0.677076\pi\)
0.849214 + 0.528049i \(0.177076\pi\)
\(774\) 23.6543 28.9469i 0.850236 1.04048i
\(775\) 26.4298 + 8.28130i 0.949385 + 0.297473i
\(776\) 2.31521 4.80759i 0.0831113 0.172582i
\(777\) −18.2261 + 15.6848i −0.653858 + 0.562691i
\(778\) 3.98289 35.3492i 0.142794 1.26733i
\(779\) 26.8326 + 8.27677i 0.961379 + 0.296546i
\(780\) −25.1025 20.1100i −0.898814 0.720054i
\(781\) −26.7668 + 15.4538i −0.957790 + 0.552980i
\(782\) 11.5647 18.4050i 0.413551 0.658163i
\(783\) 29.8636 + 40.4637i 1.06724 + 1.44605i
\(784\) −0.848730 + 0.914713i −0.0303118 + 0.0326683i
\(785\) 4.60143 + 0.182413i 0.164232 + 0.00651060i
\(786\) −22.1481 32.4852i −0.789995 1.15871i
\(787\) 1.33590 35.7027i 0.0476197 1.27266i −0.746699 0.665162i \(-0.768362\pi\)
0.794319 0.607501i \(-0.207828\pi\)
\(788\) −4.26977 + 4.96157i −0.152104 + 0.176748i
\(789\) −1.06608 0.418406i −0.0379535 0.0148957i
\(790\) −8.04355 18.5483i −0.286177 0.659921i
\(791\) −34.1971 + 10.5484i −1.21591 + 0.375059i
\(792\) −1.94579 10.2838i −0.0691407 0.365418i
\(793\) −24.8068 + 33.6120i −0.880915 + 1.19360i
\(794\) 11.7812 + 30.0181i 0.418101 + 1.06530i
\(795\) −15.0148 + 4.59494i −0.532520 + 0.162966i
\(796\) −2.50500 5.20169i −0.0887875 0.184369i
\(797\) 19.6115 + 8.55640i 0.694674 + 0.303083i 0.717403 0.696659i \(-0.245331\pi\)
−0.0227290 + 0.999742i \(0.507235\pi\)
\(798\) 24.7953 + 18.2997i 0.877743 + 0.647804i
\(799\) 25.7404 37.7542i 0.910628 1.33565i
\(800\) 3.51979 + 3.55121i 0.124443 + 0.125554i
\(801\) −65.6619 14.9869i −2.32005 0.529536i
\(802\) 34.1785 14.9119i 1.20688 0.526558i
\(803\) −1.10085 0.947362i −0.0388483 0.0334317i
\(804\) 12.6457 11.7335i 0.445978 0.413807i
\(805\) 15.0354 + 31.3996i 0.529928 + 1.10669i
\(806\) 21.1195 + 16.8423i 0.743903 + 0.593243i
\(807\) 1.89125 + 50.5448i 0.0665753 + 1.77926i
\(808\) −0.478562 + 0.353195i −0.0168358 + 0.0124254i
\(809\) −38.9570 + 8.89167i −1.36965 + 0.312615i −0.843205 0.537592i \(-0.819334\pi\)
−0.526449 + 0.850207i \(0.676477\pi\)
\(810\) −5.74877 + 13.0968i −0.201991 + 0.460176i
\(811\) −7.30993 4.22039i −0.256686 0.148198i 0.366136 0.930561i \(-0.380681\pi\)
−0.622822 + 0.782364i \(0.714014\pi\)
\(812\) 16.0287 8.47141i 0.562497 0.297288i
\(813\) 28.3317 + 3.19221i 0.993635 + 0.111956i
\(814\) −5.19676 0.389444i −0.182146 0.0136500i
\(815\) 8.38975 1.56813i 0.293880 0.0549290i
\(816\) 11.8271i 0.414030i
\(817\) −15.7746 + 17.8945i −0.551883 + 0.626050i
\(818\) 13.3745 + 13.3745i 0.467629 + 0.467629i
\(819\) −71.9324 34.6408i −2.51352 1.21045i
\(820\) 16.8188 + 3.87811i 0.587337 + 0.135429i
\(821\) 21.4134 + 26.8516i 0.747334 + 0.937127i 0.999533 0.0305483i \(-0.00972535\pi\)
−0.252200 + 0.967675i \(0.581154\pi\)
\(822\) −29.9521 56.6721i −1.04470 1.97667i
\(823\) −11.3402 + 3.03860i −0.395295 + 0.105919i −0.450991 0.892529i \(-0.648929\pi\)
0.0556951 + 0.998448i \(0.482263\pi\)
\(824\) −9.96491 17.2597i −0.347144 0.601271i
\(825\) −17.5708 20.6021i −0.611737 0.717273i
\(826\) −4.62613 0.697278i −0.160964 0.0242614i
\(827\) 19.2184 0.719102i 0.668290 0.0250056i 0.298906 0.954283i \(-0.403378\pi\)
0.369384 + 0.929277i \(0.379569\pi\)
\(828\) 30.7108 3.46028i 1.06727 0.120253i
\(829\) 35.0639 23.9062i 1.21782 0.830296i 0.228145 0.973627i \(-0.426734\pi\)
0.989675 + 0.143331i \(0.0457814\pi\)
\(830\) −12.9535 19.0904i −0.449624 0.662636i
\(831\) 1.72454 + 23.0124i 0.0598237 + 0.798291i
\(832\) 1.95009 + 4.46965i 0.0676071 + 0.154957i
\(833\) 4.23634 2.66187i 0.146780 0.0922282i
\(834\) −2.74959 8.91395i −0.0952105 0.308665i
\(835\) 54.8887 1.93167i 1.89950 0.0668481i
\(836\) 0.995423 + 6.60420i 0.0344274 + 0.228411i
\(837\) 17.6469 40.4472i 0.609967 1.39806i
\(838\) −13.1420 4.59857i −0.453981 0.158855i
\(839\) −16.4652 + 7.92923i −0.568442 + 0.273747i −0.695950 0.718090i \(-0.745016\pi\)
0.127508 + 0.991838i \(0.459302\pi\)
\(840\) 16.0165 + 10.1135i 0.552622 + 0.348950i
\(841\) −10.7298 + 1.61726i −0.369993 + 0.0557674i
\(842\) 19.5375 3.69670i 0.673308 0.127397i
\(843\) 8.38428 15.8638i 0.288770 0.546379i
\(844\) 3.09078 13.5416i 0.106389 0.466120i
\(845\) −20.8497 12.0995i −0.717253 0.416234i
\(846\) 64.7856 4.85501i 2.22738 0.166919i
\(847\) −21.8954 0.819269i −0.752336 0.0281504i
\(848\) 2.33914 + 0.442590i 0.0803266 + 0.0151986i
\(849\) −3.57404 + 4.48170i −0.122661 + 0.153812i
\(850\) −9.94668 17.4063i −0.341168 0.597032i
\(851\) 2.29350 15.2164i 0.0786202 0.521611i
\(852\) −42.0465 26.4196i −1.44049 0.905119i
\(853\) 3.66636 13.6831i 0.125534 0.468499i −0.874324 0.485342i \(-0.838695\pi\)
0.999858 + 0.0168434i \(0.00536168\pi\)
\(854\) 12.3011 21.3061i 0.420935 0.729080i
\(855\) 20.2131 41.7354i 0.691272 1.42732i
\(856\) 10.0352 8.00277i 0.342995 0.273529i
\(857\) −13.2520 15.3991i −0.452681 0.526024i 0.484536 0.874771i \(-0.338988\pi\)
−0.937217 + 0.348747i \(0.886607\pi\)
\(858\) −8.72224 24.9267i −0.297772 0.850984i
\(859\) 44.4107 1.51527 0.757637 0.652676i \(-0.226354\pi\)
0.757637 + 0.652676i \(0.226354\pi\)
\(860\) −8.87307 + 11.6734i −0.302569 + 0.398060i
\(861\) 65.3892 2.22846
\(862\) −6.55832 18.7426i −0.223377 0.638376i
\(863\) 37.1266 + 43.1419i 1.26380 + 1.46857i 0.819916 + 0.572483i \(0.194020\pi\)
0.443887 + 0.896083i \(0.353599\pi\)
\(864\) 6.22845 4.96702i 0.211896 0.168982i
\(865\) 8.33439 + 23.9892i 0.283378 + 0.815657i
\(866\) −1.12490 + 1.94839i −0.0382258 + 0.0662091i
\(867\) 0.704897 2.63071i 0.0239396 0.0893437i
\(868\) −13.4701 8.46382i −0.457205 0.287281i
\(869\) 2.47403 16.4141i 0.0839256 0.556810i
\(870\) −25.8881 32.6110i −0.877688 1.10562i
\(871\) 17.7815 22.2973i 0.602504 0.755516i
\(872\) 4.92379 + 0.931631i 0.166740 + 0.0315490i
\(873\) −30.3982 1.13742i −1.02882 0.0384958i
\(874\) −19.6663 + 1.47378i −0.665222 + 0.0498515i
\(875\) 32.0777 + 1.41444i 1.08442 + 0.0478169i
\(876\) 0.519243 2.27495i 0.0175436 0.0768635i
\(877\) 0.671686 1.27089i 0.0226812 0.0429150i −0.872514 0.488588i \(-0.837512\pi\)
0.895196 + 0.445674i \(0.147036\pi\)
\(878\) −17.2942 + 3.27224i −0.583650 + 0.110433i
\(879\) −22.5378 + 3.39703i −0.760181 + 0.114579i
\(880\) 0.904612 + 4.00436i 0.0304945 + 0.134987i
\(881\) 11.8547 5.70894i 0.399396 0.192339i −0.223393 0.974728i \(-0.571713\pi\)
0.622790 + 0.782389i \(0.285999\pi\)
\(882\) 6.71432 + 2.34944i 0.226083 + 0.0791099i
\(883\) −14.7392 + 33.7827i −0.496014 + 1.13688i 0.470995 + 0.882136i \(0.343895\pi\)
−0.967009 + 0.254741i \(0.918010\pi\)
\(884\) −2.91420 19.3344i −0.0980151 0.650288i
\(885\) 0.377895 + 10.7380i 0.0127028 + 0.360953i
\(886\) 2.98352 + 9.67232i 0.100233 + 0.324948i
\(887\) −3.30167 + 2.07458i −0.110859 + 0.0696575i −0.586320 0.810079i \(-0.699424\pi\)
0.475461 + 0.879737i \(0.342281\pi\)
\(888\) −3.34822 7.67421i −0.112359 0.257530i
\(889\) −0.788793 10.5257i −0.0264553 0.353021i
\(890\) 25.9460 + 4.96899i 0.869713 + 0.166561i
\(891\) −9.70295 + 6.61536i −0.325061 + 0.221623i
\(892\) −16.2395 + 1.82976i −0.543740 + 0.0612648i
\(893\) −41.4285 + 1.55014i −1.38635 + 0.0518736i
\(894\) 37.8630 + 5.70692i 1.26633 + 0.190868i
\(895\) 1.52431 + 20.9655i 0.0509521 + 0.700801i
\(896\) −1.43595 2.48714i −0.0479717 0.0830895i
\(897\) 75.3236 20.1829i 2.51498 0.673887i
\(898\) −0.559284 1.05822i −0.0186635 0.0353131i
\(899\) 21.8026 + 27.3396i 0.727157 + 0.911826i
\(900\) 10.5314 26.4870i 0.351048 0.882899i
\(901\) −8.60009 4.14159i −0.286511 0.137976i
\(902\) 10.0207 + 10.0207i 0.333654 + 0.333654i
\(903\) −22.8192 + 50.6465i −0.759376 + 1.68541i
\(904\) 12.4611i 0.414450i
\(905\) −1.99038 1.36351i −0.0661626 0.0453245i
\(906\) 23.3280 + 1.74819i 0.775021 + 0.0580798i
\(907\) 14.7111 + 1.65754i 0.488475 + 0.0550379i 0.352767 0.935711i \(-0.385241\pi\)
0.135707 + 0.990749i \(0.456669\pi\)
\(908\) −5.16072 + 2.72752i −0.171265 + 0.0905160i
\(909\) 2.93646 + 1.69537i 0.0973962 + 0.0562317i
\(910\) 28.6751 + 12.5868i 0.950572 + 0.417247i
\(911\) 30.4247 6.94423i 1.00801 0.230073i 0.313528 0.949579i \(-0.398489\pi\)
0.694486 + 0.719506i \(0.255632\pi\)
\(912\) −8.63375 + 6.37200i −0.285892 + 0.210998i
\(913\) −0.708260 18.9286i −0.0234400 0.626447i
\(914\) 3.93868 + 3.14100i 0.130280 + 0.103895i
\(915\) −53.2902 18.7801i −1.76172 0.620850i
\(916\) −8.78558 + 8.15182i −0.290284 + 0.269344i
\(917\) 29.0151 + 24.9695i 0.958163 + 0.824566i
\(918\) −29.2770 + 12.7734i −0.966286 + 0.421586i
\(919\) −16.6244 3.79441i −0.548388 0.125166i −0.0606551 0.998159i \(-0.519319\pi\)
−0.487733 + 0.872993i \(0.662176\pi\)
\(920\) −11.9908 + 1.78008i −0.395325 + 0.0586876i
\(921\) −34.0625 + 49.9606i −1.12240 + 1.64626i
\(922\) −2.94266 2.17178i −0.0969112 0.0715237i
\(923\) −75.2458 32.8294i −2.47675 1.08059i
\(924\) 6.74805 + 14.0125i 0.221994 + 0.460976i
\(925\) −11.3818 8.47853i −0.374231 0.278772i
\(926\) −13.9340 35.5033i −0.457900 1.16671i
\(927\) −67.4671 + 91.4147i −2.21591 + 3.00245i
\(928\) 1.17362 + 6.20271i 0.0385258 + 0.203614i
\(929\) 9.72398 2.99945i 0.319033 0.0984088i −0.131103 0.991369i \(-0.541852\pi\)
0.450136 + 0.892960i \(0.351376\pi\)
\(930\) −13.4237 + 33.9808i −0.440181 + 1.11428i
\(931\) −4.22554 1.65840i −0.138487 0.0543520i
\(932\) −2.37792 + 2.76319i −0.0778913 + 0.0905113i
\(933\) 3.34956 89.5190i 0.109660 2.93072i
\(934\) 17.9884 + 26.3841i 0.588599 + 0.863316i
\(935\) 0.652020 16.4475i 0.0213233 0.537889i
\(936\) 18.9088 20.3789i 0.618054 0.666104i
\(937\) −19.4774 26.3909i −0.636298 0.862153i 0.361226 0.932478i \(-0.382358\pi\)
−0.997524 + 0.0703253i \(0.977596\pi\)
\(938\) −8.93584 + 14.2213i −0.291765 + 0.464342i
\(939\) −74.7176 + 43.1382i −2.43832 + 1.40776i
\(940\) −25.3288 + 2.79689i −0.826134 + 0.0912244i
\(941\) 22.4326 + 6.91953i 0.731281 + 0.225570i 0.637964 0.770066i \(-0.279777\pi\)
0.0933169 + 0.995636i \(0.470253\pi\)
\(942\) −0.680156 + 6.03655i −0.0221607 + 0.196681i
\(943\) −31.7181 + 27.2957i −1.03288 + 0.888869i
\(944\) 0.706806 1.46770i 0.0230046 0.0477695i
\(945\) 7.73723 50.5705i 0.251692 1.64506i
\(946\) −11.2584 + 4.26446i −0.366043 + 0.138649i
\(947\) 14.5739 14.5739i 0.473587 0.473587i −0.429486 0.903073i \(-0.641305\pi\)
0.903073 + 0.429486i \(0.141305\pi\)
\(948\) 25.1730 8.80843i 0.817583 0.286085i
\(949\) 0.288289 3.84695i 0.00935825 0.124877i
\(950\) −7.34770 + 16.6390i −0.238391 + 0.539840i
\(951\) 21.0778 68.3327i 0.683496 2.21584i
\(952\) 2.98033 + 11.1227i 0.0965930 + 0.360490i
\(953\) 0.773446 + 0.207244i 0.0250544 + 0.00671330i 0.271324 0.962488i \(-0.412538\pi\)
−0.246270 + 0.969201i \(0.579205\pi\)
\(954\) −3.01995 13.2313i −0.0977745 0.428378i
\(955\) −12.6481 + 40.6830i −0.409283 + 1.31647i
\(956\) 9.35213 + 8.67750i 0.302469 + 0.280651i
\(957\) −3.82767 33.9716i −0.123731 1.09814i
\(958\) 3.30577 17.4714i 0.106805 0.564475i
\(959\) 42.4493 + 45.7494i 1.37076 + 1.47733i
\(960\) −5.00894 + 4.29120i −0.161663 + 0.138498i
\(961\) −0.115274 + 0.293712i −0.00371850 + 0.00947458i
\(962\) −7.36448 11.7205i −0.237440 0.377884i
\(963\) −64.6925 34.1910i −2.08469 1.10179i
\(964\) 15.0705 + 10.2749i 0.485388 + 0.330932i
\(965\) 42.3189 + 42.5074i 1.36229 + 1.36836i
\(966\) −42.7500 + 16.7781i −1.37546 + 0.539827i
\(967\) −0.155734 + 0.445061i −0.00500805 + 0.0143122i −0.946360 0.323113i \(-0.895270\pi\)
0.941352 + 0.337426i \(0.109556\pi\)
\(968\) 2.51982 7.20122i 0.0809900 0.231456i
\(969\) 40.0507 15.7187i 1.28661 0.504958i
\(970\) 11.9317 + 0.0265119i 0.383103 + 0.000851245i
\(971\) 11.1952 + 7.63278i 0.359272 + 0.244948i 0.729481 0.684001i \(-0.239762\pi\)
−0.370209 + 0.928948i \(0.620714\pi\)
\(972\) 4.44859 + 2.35115i 0.142689 + 0.0754132i
\(973\) 4.83209 + 7.69022i 0.154910 + 0.246537i
\(974\) 0.656000 1.67146i 0.0210196 0.0535571i
\(975\) 16.3155 70.0467i 0.522516 2.24329i
\(976\) 5.82671 + 6.27970i 0.186508 + 0.201008i
\(977\) −2.64430 + 13.9754i −0.0845985 + 0.447114i 0.914497 + 0.404593i \(0.132587\pi\)
−0.999096 + 0.0425213i \(0.986461\pi\)
\(978\) 1.26061 + 11.1882i 0.0403098 + 0.357759i
\(979\) 15.9001 + 14.7531i 0.508168 + 0.471511i
\(980\) −2.66440 0.828348i −0.0851113 0.0264606i
\(981\) −6.35685 27.8512i −0.202959 0.889219i
\(982\) −6.07232 1.62707i −0.193775 0.0519220i
\(983\) −7.12185 26.5791i −0.227152 0.847741i −0.981531 0.191303i \(-0.938729\pi\)
0.754379 0.656439i \(-0.227938\pi\)
\(984\) −6.71117 + 21.7571i −0.213944 + 0.693590i
\(985\) −14.1298 3.81973i −0.450212 0.121707i
\(986\) 1.89153 25.2407i 0.0602386 0.803828i
\(987\) −91.1229 + 31.8853i −2.90048 + 1.01492i
\(988\) −12.5441 + 12.5441i −0.399080 + 0.399080i
\(989\) −10.0727 34.0924i −0.320293 1.08408i
\(990\) 18.8610 13.8554i 0.599442 0.440354i
\(991\) −20.7878 + 43.1663i −0.660346 + 1.37122i 0.254362 + 0.967109i \(0.418134\pi\)
−0.914709 + 0.404114i \(0.867580\pi\)
\(992\) 4.19868 3.61325i 0.133308 0.114721i
\(993\) 7.32876 65.0446i 0.232571 2.06413i
\(994\) 46.2000 + 14.2508i 1.46538 + 0.452008i
\(995\) 8.07154 10.0754i 0.255885 0.319411i
\(996\) 26.3558 15.2165i 0.835116 0.482155i
\(997\) 29.5239 46.9870i 0.935030 1.48809i 0.0633653 0.997990i \(-0.479817\pi\)
0.871665 0.490102i \(-0.163040\pi\)
\(998\) −9.50105 12.8735i −0.300750 0.407502i
\(999\) −15.3808 + 16.5766i −0.486627 + 0.524459i
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 430.2.x.a.3.12 528
5.2 odd 4 inner 430.2.x.a.347.1 yes 528
43.29 odd 42 inner 430.2.x.a.373.1 yes 528
215.72 even 84 inner 430.2.x.a.287.12 yes 528
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.x.a.3.12 528 1.1 even 1 trivial
430.2.x.a.287.12 yes 528 215.72 even 84 inner
430.2.x.a.347.1 yes 528 5.2 odd 4 inner
430.2.x.a.373.1 yes 528 43.29 odd 42 inner