Properties

Label 320.2.bf.a.269.30
Level $320$
Weight $2$
Character 320.269
Analytic conductor $2.555$
Analytic rank $0$
Dimension $368$
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] = [320,2,Mod(29,320)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(320, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([0, 11, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("320.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 320 = 2^{6} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 320.bf (of order \(16\), 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: \(2.55521286468\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 269.30
Character \(\chi\) \(=\) 320.269
Dual form 320.2.bf.a.69.30

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.564747 + 1.29656i) q^{2} +(1.51286 + 2.26416i) q^{3} +(-1.36212 + 1.46445i) q^{4} +(1.26947 - 1.84077i) q^{5} +(-2.08123 + 3.24019i) q^{6} +(2.06566 - 0.855626i) q^{7} +(-2.66800 - 0.939025i) q^{8} +(-1.68961 + 4.07907i) q^{9} +O(q^{10})\) \(q+(0.564747 + 1.29656i) q^{2} +(1.51286 + 2.26416i) q^{3} +(-1.36212 + 1.46445i) q^{4} +(1.26947 - 1.84077i) q^{5} +(-2.08123 + 3.24019i) q^{6} +(2.06566 - 0.855626i) q^{7} +(-2.66800 - 0.939025i) q^{8} +(-1.68961 + 4.07907i) q^{9} +(3.10360 + 0.606376i) q^{10} +(-3.55285 + 5.31721i) q^{11} +(-5.37645 - 0.868545i) q^{12} +(0.617663 - 3.10520i) q^{13} +(2.27595 + 2.19504i) q^{14} +(6.08833 + 0.0894563i) q^{15} +(-0.289245 - 3.98953i) q^{16} +(1.13278 - 1.13278i) q^{17} +(-6.24295 + 0.112970i) q^{18} +(0.557339 - 2.80193i) q^{19} +(0.966544 + 4.36644i) q^{20} +(5.06233 + 3.38254i) q^{21} +(-8.90053 - 1.60359i) q^{22} +(-0.174871 + 0.422175i) q^{23} +(-1.91022 - 7.46139i) q^{24} +(-1.77687 - 4.67362i) q^{25} +(4.37490 - 0.952817i) q^{26} +(-3.77953 + 0.751795i) q^{27} +(-1.56066 + 4.19054i) q^{28} +(-5.37265 - 8.04074i) q^{29} +(3.32238 + 7.94439i) q^{30} +3.46791i q^{31} +(5.00930 - 2.62809i) q^{32} -17.4140 q^{33} +(2.10845 + 0.828981i) q^{34} +(1.04729 - 4.88861i) q^{35} +(-3.67216 - 8.03054i) q^{36} +(0.697180 - 0.138678i) q^{37} +(3.94762 - 0.859760i) q^{38} +(7.96510 - 3.29925i) q^{39} +(-5.11549 + 3.71911i) q^{40} +(8.59195 + 3.55890i) q^{41} +(-1.52673 + 8.47389i) q^{42} +(3.46034 - 5.17876i) q^{43} +(-2.94739 - 12.4457i) q^{44} +(5.36372 + 8.28845i) q^{45} +(-0.646132 + 0.0116921i) q^{46} +(-1.78464 + 1.78464i) q^{47} +(8.59533 - 6.69050i) q^{48} +(-1.41488 + 1.41488i) q^{49} +(5.05613 - 4.94323i) q^{50} +(4.27853 + 0.851053i) q^{51} +(3.70609 + 5.13420i) q^{52} +(4.69376 + 3.13627i) q^{53} +(-3.10922 - 4.47580i) q^{54} +(5.27752 + 13.2900i) q^{55} +(-6.31465 + 0.343101i) q^{56} +(7.18719 - 2.97703i) q^{57} +(7.39110 - 11.5069i) q^{58} +(-3.28682 + 0.653789i) q^{59} +(-8.42406 + 8.79422i) q^{60} +(-12.3242 + 8.23478i) q^{61} +(-4.49635 + 1.95849i) q^{62} +9.87166i q^{63} +(6.23646 + 5.01064i) q^{64} +(-4.93186 - 5.07895i) q^{65} +(-9.83448 - 22.5782i) q^{66} +(-3.89296 - 5.82622i) q^{67} +(0.115918 + 3.20189i) q^{68} +(-1.22042 + 0.242758i) q^{69} +(6.92982 - 1.40295i) q^{70} +(2.63315 + 6.35699i) q^{71} +(8.33822 - 9.29638i) q^{72} +(4.28403 + 1.77450i) q^{73} +(0.573533 + 0.825616i) q^{74} +(7.89364 - 11.0937i) q^{75} +(3.34413 + 4.63277i) q^{76} +(-2.78944 + 14.0235i) q^{77} +(8.77593 + 8.46397i) q^{78} +(9.11699 - 9.11699i) q^{79} +(-7.71100 - 4.53217i) q^{80} +(1.94587 + 1.94587i) q^{81} +(0.237954 + 13.1498i) q^{82} +(-2.23317 - 0.444205i) q^{83} +(-11.8491 + 2.80611i) q^{84} +(-0.647154 - 3.52322i) q^{85} +(8.66878 + 1.56184i) q^{86} +(10.0774 - 24.3291i) q^{87} +(14.4720 - 10.8501i) q^{88} +(-4.97856 + 2.06219i) q^{89} +(-7.71731 + 11.6352i) q^{90} +(-1.38101 - 6.94279i) q^{91} +(-0.380060 - 0.831144i) q^{92} +(-7.85190 + 5.24647i) q^{93} +(-3.32175 - 1.30602i) q^{94} +(-4.45019 - 4.58291i) q^{95} +(13.5288 + 7.36590i) q^{96} -10.3610 q^{97} +(-2.63351 - 1.03542i) q^{98} +(-15.6864 - 23.4763i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9} - 8 q^{10} - 16 q^{11} - 16 q^{14} - 8 q^{15} - 16 q^{16} - 16 q^{19} - 8 q^{20} - 16 q^{21} - 16 q^{24} - 8 q^{25} - 96 q^{26} - 16 q^{29} + 72 q^{30} - 16 q^{34} - 8 q^{35} - 176 q^{36} - 16 q^{39} + 32 q^{40} - 16 q^{41} - 16 q^{44} - 8 q^{45} - 16 q^{46} - 16 q^{49} + 16 q^{50} + 16 q^{51} + 48 q^{54} - 72 q^{55} - 112 q^{56} - 80 q^{59} + 88 q^{60} - 16 q^{61} + 80 q^{64} - 16 q^{65} - 144 q^{66} - 16 q^{69} + 88 q^{70} + 48 q^{71} + 80 q^{74} - 72 q^{75} - 80 q^{76} - 48 q^{79} + 16 q^{80} - 16 q^{81} - 128 q^{84} - 8 q^{85} - 16 q^{86} - 16 q^{89} - 8 q^{90} - 16 q^{91} - 192 q^{94} - 16 q^{96} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(257\) \(261\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.564747 + 1.29656i 0.399336 + 0.916805i
\(3\) 1.51286 + 2.26416i 0.873451 + 1.30721i 0.950672 + 0.310197i \(0.100395\pi\)
−0.0772214 + 0.997014i \(0.524605\pi\)
\(4\) −1.36212 + 1.46445i −0.681061 + 0.732226i
\(5\) 1.26947 1.84077i 0.567726 0.823218i
\(6\) −2.08123 + 3.24019i −0.849657 + 1.32280i
\(7\) 2.06566 0.855626i 0.780748 0.323396i 0.0435304 0.999052i \(-0.486139\pi\)
0.737217 + 0.675656i \(0.236139\pi\)
\(8\) −2.66800 0.939025i −0.943281 0.331996i
\(9\) −1.68961 + 4.07907i −0.563202 + 1.35969i
\(10\) 3.10360 + 0.606376i 0.981443 + 0.191753i
\(11\) −3.55285 + 5.31721i −1.07122 + 1.60320i −0.314751 + 0.949174i \(0.601921\pi\)
−0.756473 + 0.654025i \(0.773079\pi\)
\(12\) −5.37645 0.868545i −1.55205 0.250727i
\(13\) 0.617663 3.10520i 0.171309 0.861228i −0.795544 0.605895i \(-0.792815\pi\)
0.966853 0.255333i \(-0.0821850\pi\)
\(14\) 2.27595 + 2.19504i 0.608272 + 0.586649i
\(15\) 6.08833 + 0.0894563i 1.57200 + 0.0230975i
\(16\) −0.289245 3.98953i −0.0723111 0.997382i
\(17\) 1.13278 1.13278i 0.274740 0.274740i −0.556265 0.831005i \(-0.687766\pi\)
0.831005 + 0.556265i \(0.187766\pi\)
\(18\) −6.24295 + 0.112970i −1.47148 + 0.0266272i
\(19\) 0.557339 2.80193i 0.127862 0.642807i −0.862697 0.505721i \(-0.831226\pi\)
0.990559 0.137086i \(-0.0437736\pi\)
\(20\) 0.966544 + 4.36644i 0.216126 + 0.976366i
\(21\) 5.06233 + 3.38254i 1.10469 + 0.738131i
\(22\) −8.90053 1.60359i −1.89760 0.341887i
\(23\) −0.174871 + 0.422175i −0.0364630 + 0.0880295i −0.941062 0.338234i \(-0.890170\pi\)
0.904599 + 0.426264i \(0.140170\pi\)
\(24\) −1.91022 7.46139i −0.389921 1.52305i
\(25\) −1.77687 4.67362i −0.355375 0.934724i
\(26\) 4.37490 0.952817i 0.857988 0.186863i
\(27\) −3.77953 + 0.751795i −0.727370 + 0.144683i
\(28\) −1.56066 + 4.19054i −0.294938 + 0.791937i
\(29\) −5.37265 8.04074i −0.997676 1.49313i −0.864876 0.501986i \(-0.832603\pi\)
−0.132800 0.991143i \(-0.542397\pi\)
\(30\) 3.32238 + 7.94439i 0.606581 + 1.45044i
\(31\) 3.46791i 0.622856i 0.950270 + 0.311428i \(0.100807\pi\)
−0.950270 + 0.311428i \(0.899193\pi\)
\(32\) 5.00930 2.62809i 0.885528 0.464586i
\(33\) −17.4140 −3.03138
\(34\) 2.10845 + 0.828981i 0.361596 + 0.142169i
\(35\) 1.04729 4.88861i 0.177025 0.826326i
\(36\) −3.67216 8.03054i −0.612026 1.33842i
\(37\) 0.697180 0.138678i 0.114616 0.0227985i −0.137449 0.990509i \(-0.543890\pi\)
0.252065 + 0.967710i \(0.418890\pi\)
\(38\) 3.94762 0.859760i 0.640389 0.139471i
\(39\) 7.96510 3.29925i 1.27544 0.528303i
\(40\) −5.11549 + 3.71911i −0.808830 + 0.588043i
\(41\) 8.59195 + 3.55890i 1.34184 + 0.555807i 0.934008 0.357251i \(-0.116286\pi\)
0.407829 + 0.913058i \(0.366286\pi\)
\(42\) −1.52673 + 8.47389i −0.235579 + 1.30755i
\(43\) 3.46034 5.17876i 0.527697 0.789754i −0.467872 0.883796i \(-0.654979\pi\)
0.995568 + 0.0940427i \(0.0299790\pi\)
\(44\) −2.94739 12.4457i −0.444336 1.87626i
\(45\) 5.36372 + 8.28845i 0.799577 + 1.23557i
\(46\) −0.646132 + 0.0116921i −0.0952669 + 0.00172391i
\(47\) −1.78464 + 1.78464i −0.260316 + 0.260316i −0.825182 0.564866i \(-0.808928\pi\)
0.564866 + 0.825182i \(0.308928\pi\)
\(48\) 8.59533 6.69050i 1.24063 0.965690i
\(49\) −1.41488 + 1.41488i −0.202125 + 0.202125i
\(50\) 5.05613 4.94323i 0.715045 0.699078i
\(51\) 4.27853 + 0.851053i 0.599114 + 0.119171i
\(52\) 3.70609 + 5.13420i 0.513942 + 0.711986i
\(53\) 4.69376 + 3.13627i 0.644737 + 0.430799i 0.834483 0.551034i \(-0.185766\pi\)
−0.189746 + 0.981833i \(0.560766\pi\)
\(54\) −3.10922 4.47580i −0.423111 0.609079i
\(55\) 5.27752 + 13.2900i 0.711621 + 1.79203i
\(56\) −6.31465 + 0.343101i −0.843830 + 0.0458488i
\(57\) 7.18719 2.97703i 0.951967 0.394317i
\(58\) 7.39110 11.5069i 0.970499 1.51093i
\(59\) −3.28682 + 0.653789i −0.427908 + 0.0851161i −0.404346 0.914606i \(-0.632501\pi\)
−0.0235620 + 0.999722i \(0.507501\pi\)
\(60\) −8.42406 + 8.79422i −1.08754 + 1.13533i
\(61\) −12.3242 + 8.23478i −1.57795 + 1.05436i −0.613643 + 0.789583i \(0.710297\pi\)
−0.964311 + 0.264772i \(0.914703\pi\)
\(62\) −4.49635 + 1.95849i −0.571037 + 0.248729i
\(63\) 9.87166i 1.24371i
\(64\) 6.23646 + 5.01064i 0.779558 + 0.626330i
\(65\) −4.93186 5.07895i −0.611722 0.629966i
\(66\) −9.83448 22.5782i −1.21054 2.77918i
\(67\) −3.89296 5.82622i −0.475600 0.711786i 0.513653 0.857998i \(-0.328292\pi\)
−0.989253 + 0.146212i \(0.953292\pi\)
\(68\) 0.115918 + 3.20189i 0.0140571 + 0.388286i
\(69\) −1.22042 + 0.242758i −0.146922 + 0.0292246i
\(70\) 6.92982 1.40295i 0.828272 0.167684i
\(71\) 2.63315 + 6.35699i 0.312497 + 0.754435i 0.999611 + 0.0278855i \(0.00887739\pi\)
−0.687114 + 0.726550i \(0.741123\pi\)
\(72\) 8.33822 9.29638i 0.982669 1.09559i
\(73\) 4.28403 + 1.77450i 0.501408 + 0.207690i 0.619028 0.785369i \(-0.287527\pi\)
−0.117621 + 0.993059i \(0.537527\pi\)
\(74\) 0.573533 + 0.825616i 0.0666719 + 0.0959759i
\(75\) 7.89364 11.0937i 0.911479 1.28099i
\(76\) 3.34413 + 4.63277i 0.383598 + 0.531415i
\(77\) −2.78944 + 14.0235i −0.317887 + 1.59812i
\(78\) 8.77593 + 8.46397i 0.993679 + 0.958356i
\(79\) 9.11699 9.11699i 1.02574 1.02574i 0.0260821 0.999660i \(-0.491697\pi\)
0.999660 0.0260821i \(-0.00830312\pi\)
\(80\) −7.71100 4.53217i −0.862116 0.506712i
\(81\) 1.94587 + 1.94587i 0.216208 + 0.216208i
\(82\) 0.237954 + 13.1498i 0.0262776 + 1.45216i
\(83\) −2.23317 0.444205i −0.245122 0.0487579i 0.0709999 0.997476i \(-0.477381\pi\)
−0.316122 + 0.948718i \(0.602381\pi\)
\(84\) −11.8491 + 2.80611i −1.29284 + 0.306172i
\(85\) −0.647154 3.52322i −0.0701937 0.382147i
\(86\) 8.66878 + 1.56184i 0.934778 + 0.168417i
\(87\) 10.0774 24.3291i 1.08041 2.60835i
\(88\) 14.4720 10.8501i 1.54272 1.15663i
\(89\) −4.97856 + 2.06219i −0.527726 + 0.218591i −0.630607 0.776102i \(-0.717194\pi\)
0.102881 + 0.994694i \(0.467194\pi\)
\(90\) −7.71731 + 11.6352i −0.813475 + 1.22646i
\(91\) −1.38101 6.94279i −0.144769 0.727802i
\(92\) −0.380060 0.831144i −0.0396240 0.0866527i
\(93\) −7.85190 + 5.24647i −0.814204 + 0.544034i
\(94\) −3.32175 1.30602i −0.342612 0.134705i
\(95\) −4.45019 4.58291i −0.456580 0.470197i
\(96\) 13.5288 + 7.36590i 1.38078 + 0.751779i
\(97\) −10.3610 −1.05200 −0.526002 0.850483i \(-0.676310\pi\)
−0.526002 + 0.850483i \(0.676310\pi\)
\(98\) −2.63351 1.03542i −0.266025 0.104593i
\(99\) −15.6864 23.4763i −1.57654 2.35946i
\(100\) 9.26462 + 3.76389i 0.926462 + 0.376389i
\(101\) −0.819505 4.11993i −0.0815438 0.409948i −0.999899 0.0141918i \(-0.995482\pi\)
0.918356 0.395756i \(-0.129518\pi\)
\(102\) 1.31285 + 6.02799i 0.129991 + 0.596860i
\(103\) −2.22218 5.36482i −0.218958 0.528611i 0.775787 0.630995i \(-0.217353\pi\)
−0.994745 + 0.102384i \(0.967353\pi\)
\(104\) −4.56379 + 7.70468i −0.447516 + 0.755506i
\(105\) 12.6530 5.02455i 1.23480 0.490346i
\(106\) −1.41557 + 7.85692i −0.137492 + 0.763131i
\(107\) −9.09406 + 13.6102i −0.879156 + 1.31575i 0.0688919 + 0.997624i \(0.478054\pi\)
−0.948048 + 0.318126i \(0.896946\pi\)
\(108\) 4.04721 6.55898i 0.389443 0.631138i
\(109\) 0.296202 1.48911i 0.0283710 0.142631i −0.964004 0.265889i \(-0.914334\pi\)
0.992375 + 0.123259i \(0.0393344\pi\)
\(110\) −14.2508 + 14.3481i −1.35876 + 1.36804i
\(111\) 1.36872 + 1.36872i 0.129914 + 0.129914i
\(112\) −4.01103 7.99354i −0.379006 0.755319i
\(113\) 4.98447 + 4.98447i 0.468900 + 0.468900i 0.901558 0.432658i \(-0.142424\pi\)
−0.432658 + 0.901558i \(0.642424\pi\)
\(114\) 7.91883 + 7.63734i 0.741667 + 0.715302i
\(115\) 0.555134 + 0.857836i 0.0517665 + 0.0799937i
\(116\) 19.0935 + 3.08448i 1.77279 + 0.286387i
\(117\) 11.6227 + 7.76606i 1.07452 + 0.717972i
\(118\) −2.70390 3.89233i −0.248914 0.358318i
\(119\) 1.37071 3.30918i 0.125653 0.303352i
\(120\) −16.1597 5.95577i −1.47517 0.543685i
\(121\) −11.4405 27.6198i −1.04005 2.51089i
\(122\) −17.6369 11.3285i −1.59677 1.02563i
\(123\) 4.94052 + 24.8377i 0.445471 + 2.23954i
\(124\) −5.07860 4.72372i −0.456071 0.424203i
\(125\) −10.8588 2.66222i −0.971237 0.238116i
\(126\) −12.7992 + 5.57499i −1.14024 + 0.496659i
\(127\) 17.9886i 1.59623i −0.602506 0.798114i \(-0.705831\pi\)
0.602506 0.798114i \(-0.294169\pi\)
\(128\) −2.97456 + 10.9157i −0.262917 + 0.964819i
\(129\) 16.9605 1.49329
\(130\) 3.79990 9.26275i 0.333273 0.812397i
\(131\) 5.88646 3.93321i 0.514302 0.343646i −0.271181 0.962528i \(-0.587414\pi\)
0.785484 + 0.618882i \(0.212414\pi\)
\(132\) 23.7200 25.5019i 2.06456 2.21966i
\(133\) −1.24613 6.26472i −0.108053 0.543221i
\(134\) 5.35550 8.33778i 0.462644 0.720274i
\(135\) −3.41413 + 7.91163i −0.293841 + 0.680924i
\(136\) −4.08597 + 1.95855i −0.350369 + 0.167944i
\(137\) −4.16155 1.72377i −0.355546 0.147272i 0.197759 0.980251i \(-0.436634\pi\)
−0.553305 + 0.832979i \(0.686634\pi\)
\(138\) −1.00398 1.44525i −0.0854645 0.123028i
\(139\) −7.20226 + 10.7789i −0.610888 + 0.914259i −0.999976 0.00694211i \(-0.997790\pi\)
0.389088 + 0.921201i \(0.372790\pi\)
\(140\) 5.73259 + 8.19260i 0.484493 + 0.692401i
\(141\) −6.74060 1.34079i −0.567661 0.112915i
\(142\) −6.75513 + 7.00412i −0.566878 + 0.587772i
\(143\) 14.3166 + 14.3166i 1.19721 + 1.19721i
\(144\) 16.7623 + 5.56088i 1.39686 + 0.463407i
\(145\) −21.6216 0.317688i −1.79558 0.0263826i
\(146\) 0.118646 + 6.55664i 0.00981921 + 0.542631i
\(147\) −5.34401 1.06299i −0.440767 0.0876739i
\(148\) −0.746557 + 1.20988i −0.0613666 + 0.0994517i
\(149\) −3.74589 2.50292i −0.306875 0.205047i 0.392591 0.919713i \(-0.371579\pi\)
−0.699466 + 0.714666i \(0.746579\pi\)
\(150\) 18.8415 + 3.96946i 1.53840 + 0.324105i
\(151\) 2.69034 + 1.11438i 0.218937 + 0.0906867i 0.489456 0.872028i \(-0.337195\pi\)
−0.270519 + 0.962715i \(0.587195\pi\)
\(152\) −4.11807 + 6.95220i −0.334019 + 0.563898i
\(153\) 2.70674 + 6.53464i 0.218827 + 0.528295i
\(154\) −19.7576 + 4.30304i −1.59211 + 0.346749i
\(155\) 6.38363 + 4.40242i 0.512746 + 0.353611i
\(156\) −6.01784 + 16.1585i −0.481813 + 1.29372i
\(157\) 10.7073 7.15439i 0.854536 0.570983i −0.0493375 0.998782i \(-0.515711\pi\)
0.903874 + 0.427799i \(0.140711\pi\)
\(158\) 16.9695 + 6.67191i 1.35002 + 0.530789i
\(159\) 15.3721i 1.21909i
\(160\) 1.52146 12.5573i 0.120282 0.992740i
\(161\) 1.02170i 0.0805209i
\(162\) −1.42401 + 3.62186i −0.111881 + 0.284560i
\(163\) −7.91076 + 5.28580i −0.619619 + 0.414016i −0.825373 0.564588i \(-0.809035\pi\)
0.205754 + 0.978604i \(0.434035\pi\)
\(164\) −16.9151 + 7.73485i −1.32085 + 0.603990i
\(165\) −22.1066 + 32.0551i −1.72099 + 2.49549i
\(166\) −0.685238 3.14630i −0.0531848 0.244200i
\(167\) 7.60570 + 18.3618i 0.588547 + 1.42088i 0.884892 + 0.465797i \(0.154232\pi\)
−0.296345 + 0.955081i \(0.595768\pi\)
\(168\) −10.3300 13.7783i −0.796978 1.06302i
\(169\) 2.74966 + 1.13895i 0.211513 + 0.0876114i
\(170\) 4.20258 2.82880i 0.322323 0.216959i
\(171\) 10.4876 + 7.00759i 0.802006 + 0.535884i
\(172\) 2.87065 + 12.1216i 0.218885 + 0.924264i
\(173\) −13.9037 2.76562i −1.05708 0.210266i −0.364200 0.931321i \(-0.618658\pi\)
−0.692878 + 0.721055i \(0.743658\pi\)
\(174\) 37.2352 0.673792i 2.82279 0.0510800i
\(175\) −7.66930 8.13379i −0.579744 0.614857i
\(176\) 22.2408 + 12.6362i 1.67646 + 0.952490i
\(177\) −6.45278 6.45278i −0.485021 0.485021i
\(178\) −5.48536 5.29037i −0.411145 0.396530i
\(179\) −8.07361 1.60594i −0.603450 0.120034i −0.116096 0.993238i \(-0.537038\pi\)
−0.487354 + 0.873204i \(0.662038\pi\)
\(180\) −19.4441 3.43496i −1.44928 0.256027i
\(181\) 0.482532 0.722160i 0.0358663 0.0536778i −0.813103 0.582120i \(-0.802224\pi\)
0.848970 + 0.528442i \(0.177224\pi\)
\(182\) 8.22181 5.71147i 0.609441 0.423363i
\(183\) −37.2897 15.4459i −2.75653 1.14179i
\(184\) 0.862988 0.962155i 0.0636203 0.0709310i
\(185\) 0.629777 1.45940i 0.0463021 0.107297i
\(186\) −11.2367 7.21751i −0.823914 0.529214i
\(187\) 1.99864 + 10.0478i 0.146155 + 0.734770i
\(188\) −0.182622 5.04441i −0.0133191 0.367901i
\(189\) −7.16398 + 4.78682i −0.521103 + 0.348190i
\(190\) 3.42878 8.35811i 0.248750 0.606361i
\(191\) −14.9972 −1.08516 −0.542578 0.840005i \(-0.682552\pi\)
−0.542578 + 0.840005i \(0.682552\pi\)
\(192\) −1.90997 + 21.7007i −0.137841 + 1.56612i
\(193\) 22.3644i 1.60982i −0.593395 0.804911i \(-0.702213\pi\)
0.593395 0.804911i \(-0.297787\pi\)
\(194\) −5.85137 13.4337i −0.420104 0.964483i
\(195\) 4.03832 18.8502i 0.289190 1.34989i
\(196\) −0.144785 3.99925i −0.0103418 0.285661i
\(197\) 2.09979 + 10.5563i 0.149604 + 0.752108i 0.980629 + 0.195874i \(0.0627542\pi\)
−0.831026 + 0.556234i \(0.812246\pi\)
\(198\) 21.5796 33.5964i 1.53359 2.38759i
\(199\) 3.95055 + 9.53746i 0.280047 + 0.676093i 0.999836 0.0180996i \(-0.00576161\pi\)
−0.719789 + 0.694193i \(0.755762\pi\)
\(200\) 0.352056 + 14.1378i 0.0248941 + 0.999690i
\(201\) 7.30197 17.6285i 0.515041 1.24342i
\(202\) 4.87891 3.38925i 0.343279 0.238467i
\(203\) −17.9780 12.0125i −1.26181 0.843112i
\(204\) −7.07421 + 5.10647i −0.495294 + 0.357524i
\(205\) 17.4584 11.2979i 1.21935 0.789078i
\(206\) 5.70083 5.91095i 0.397195 0.411835i
\(207\) −1.42662 1.42662i −0.0991568 0.0991568i
\(208\) −12.5669 1.56602i −0.871361 0.108584i
\(209\) 12.9183 + 12.9183i 0.893579 + 0.893579i
\(210\) 13.6603 + 13.5677i 0.942653 + 0.936262i
\(211\) −4.79836 + 24.1230i −0.330333 + 1.66070i 0.356812 + 0.934176i \(0.383864\pi\)
−0.687145 + 0.726520i \(0.741136\pi\)
\(212\) −10.9864 + 2.60180i −0.754548 + 0.178693i
\(213\) −10.4096 + 15.5791i −0.713255 + 1.06746i
\(214\) −22.7823 4.10465i −1.55737 0.280588i
\(215\) −5.14011 12.9440i −0.350552 0.882773i
\(216\) 10.7897 + 1.54328i 0.734149 + 0.105007i
\(217\) 2.96724 + 7.16354i 0.201429 + 0.486293i
\(218\) 2.09800 0.456926i 0.142094 0.0309469i
\(219\) 2.46339 + 12.3843i 0.166460 + 0.836853i
\(220\) −26.6513 10.3740i −1.79683 0.699413i
\(221\) −2.81783 4.21719i −0.189548 0.283679i
\(222\) −1.00165 + 2.54761i −0.0672261 + 0.170984i
\(223\) 11.4352 0.765757 0.382879 0.923799i \(-0.374933\pi\)
0.382879 + 0.923799i \(0.374933\pi\)
\(224\) 8.09887 9.71485i 0.541129 0.649101i
\(225\) 22.0662 + 0.648582i 1.47108 + 0.0432388i
\(226\) −3.64769 + 9.27762i −0.242641 + 0.617138i
\(227\) 11.8615 7.92558i 0.787274 0.526039i −0.0957290 0.995407i \(-0.530518\pi\)
0.883003 + 0.469368i \(0.155518\pi\)
\(228\) −5.43011 + 14.5804i −0.359618 + 0.965609i
\(229\) 0.0300497 + 0.151070i 0.00198574 + 0.00998299i 0.981765 0.190096i \(-0.0608800\pi\)
−0.979780 + 0.200079i \(0.935880\pi\)
\(230\) −0.798724 + 1.20422i −0.0526663 + 0.0794041i
\(231\) −35.9714 + 14.8998i −2.36674 + 0.980338i
\(232\) 6.78378 + 26.4978i 0.445377 + 1.73966i
\(233\) −9.28944 + 22.4267i −0.608571 + 1.46922i 0.255983 + 0.966681i \(0.417601\pi\)
−0.864554 + 0.502540i \(0.832399\pi\)
\(234\) −3.50524 + 19.4554i −0.229145 + 1.27184i
\(235\) 1.01956 + 5.55065i 0.0665086 + 0.362085i
\(236\) 3.51961 5.70394i 0.229107 0.371295i
\(237\) 34.4350 + 6.84956i 2.23680 + 0.444926i
\(238\) 5.06464 0.0916475i 0.328292 0.00594063i
\(239\) −5.80859 5.80859i −0.375727 0.375727i 0.493831 0.869558i \(-0.335596\pi\)
−0.869558 + 0.493831i \(0.835596\pi\)
\(240\) −1.40413 24.3154i −0.0906361 1.56955i
\(241\) 19.9361 19.9361i 1.28419 1.28419i 0.345936 0.938258i \(-0.387561\pi\)
0.938258 0.345936i \(-0.112439\pi\)
\(242\) 29.3497 30.4315i 1.88667 1.95621i
\(243\) −3.71731 + 18.6882i −0.238466 + 1.19885i
\(244\) 4.72765 29.2650i 0.302657 1.87350i
\(245\) 0.808315 + 4.40061i 0.0516413 + 0.281145i
\(246\) −29.4133 + 20.4326i −1.87532 + 1.30274i
\(247\) −8.35632 3.46130i −0.531700 0.220237i
\(248\) 3.25646 9.25240i 0.206785 0.587528i
\(249\) −2.37273 5.72827i −0.150365 0.363014i
\(250\) −2.68073 15.5825i −0.169544 0.985523i
\(251\) −6.82277 + 1.35713i −0.430649 + 0.0856615i −0.405655 0.914026i \(-0.632957\pi\)
−0.0249941 + 0.999688i \(0.507957\pi\)
\(252\) −14.4566 13.4464i −0.910679 0.847044i
\(253\) −1.62350 2.42975i −0.102069 0.152757i
\(254\) 23.3232 10.1590i 1.46343 0.637432i
\(255\) 6.99807 6.79541i 0.438236 0.425545i
\(256\) −15.8327 + 2.30790i −0.989542 + 0.144244i
\(257\) 6.64213i 0.414324i −0.978307 0.207162i \(-0.933577\pi\)
0.978307 0.207162i \(-0.0664228\pi\)
\(258\) 9.57841 + 21.9903i 0.596326 + 1.36906i
\(259\) 1.32148 0.882986i 0.0821129 0.0548661i
\(260\) 14.1557 0.304325i 0.877898 0.0188734i
\(261\) 41.8764 8.32974i 2.59208 0.515598i
\(262\) 8.42399 + 5.41087i 0.520436 + 0.334285i
\(263\) 3.19499 1.32341i 0.197012 0.0816050i −0.281996 0.959416i \(-0.590997\pi\)
0.479008 + 0.877811i \(0.340997\pi\)
\(264\) 46.4605 + 16.3522i 2.85944 + 1.00641i
\(265\) 11.7317 4.65872i 0.720675 0.286183i
\(266\) 7.41883 5.15366i 0.454877 0.315991i
\(267\) −12.2010 8.15243i −0.746688 0.498921i
\(268\) 13.8349 + 2.23497i 0.845101 + 0.136523i
\(269\) 0.0558625 + 0.0111117i 0.00340600 + 0.000677495i 0.196793 0.980445i \(-0.436947\pi\)
−0.193387 + 0.981123i \(0.561947\pi\)
\(270\) −12.1860 + 0.0414515i −0.741616 + 0.00252266i
\(271\) 2.87793 2.87793i 0.174822 0.174822i −0.614272 0.789094i \(-0.710550\pi\)
0.789094 + 0.614272i \(0.210550\pi\)
\(272\) −4.84691 4.19161i −0.293887 0.254154i
\(273\) 13.6303 13.6303i 0.824943 0.824943i
\(274\) −0.115254 6.36919i −0.00696275 0.384777i
\(275\) 31.1636 + 7.15664i 1.87923 + 0.431562i
\(276\) 1.30686 2.11792i 0.0786638 0.127484i
\(277\) −8.08703 + 12.1031i −0.485902 + 0.727204i −0.990705 0.136031i \(-0.956565\pi\)
0.504802 + 0.863235i \(0.331565\pi\)
\(278\) −18.0430 3.25077i −1.08215 0.194968i
\(279\) −14.1459 5.85941i −0.846890 0.350794i
\(280\) −7.38471 + 12.0594i −0.441321 + 0.720686i
\(281\) 11.1186 4.60546i 0.663278 0.274739i −0.0255392 0.999674i \(-0.508130\pi\)
0.688817 + 0.724935i \(0.258130\pi\)
\(282\) −2.06832 9.49678i −0.123167 0.565525i
\(283\) −23.7116 + 4.71652i −1.40951 + 0.280368i −0.840432 0.541917i \(-0.817699\pi\)
−0.569075 + 0.822286i \(0.692699\pi\)
\(284\) −12.8962 4.80287i −0.765247 0.284998i
\(285\) 3.64391 17.0092i 0.215847 1.00754i
\(286\) −10.4770 + 26.6475i −0.619518 + 1.57570i
\(287\) 20.7932 1.22738
\(288\) 2.25643 + 24.8737i 0.132962 + 1.46570i
\(289\) 14.4336i 0.849036i
\(290\) −11.7988 28.2131i −0.692851 1.65673i
\(291\) −15.6748 23.4590i −0.918874 1.37519i
\(292\) −8.43405 + 3.85667i −0.493565 + 0.225694i
\(293\) 14.2459 2.83368i 0.832253 0.165545i 0.239466 0.970905i \(-0.423028\pi\)
0.592787 + 0.805359i \(0.298028\pi\)
\(294\) −1.63978 7.52914i −0.0956342 0.439108i
\(295\) −2.96906 + 6.88025i −0.172865 + 0.400584i
\(296\) −1.99030 0.284677i −0.115684 0.0165465i
\(297\) 9.43063 22.7676i 0.547221 1.32111i
\(298\) 1.12970 6.27028i 0.0654420 0.363227i
\(299\) 1.20293 + 0.803770i 0.0695671 + 0.0464832i
\(300\) 5.49403 + 26.6708i 0.317198 + 1.53984i
\(301\) 2.71681 13.6583i 0.156594 0.787253i
\(302\) 0.0745089 + 4.11752i 0.00428750 + 0.236937i
\(303\) 8.08836 8.08836i 0.464664 0.464664i
\(304\) −11.3396 1.41308i −0.650370 0.0810455i
\(305\) −0.486927 + 33.1399i −0.0278814 + 1.89758i
\(306\) −6.94392 + 7.19986i −0.396957 + 0.411588i
\(307\) 3.19525 16.0636i 0.182362 0.916797i −0.775889 0.630870i \(-0.782698\pi\)
0.958251 0.285928i \(-0.0923017\pi\)
\(308\) −16.7372 23.1867i −0.953688 1.32119i
\(309\) 8.78494 13.1476i 0.499758 0.747940i
\(310\) −2.10286 + 10.7630i −0.119434 + 0.611297i
\(311\) 1.69527 4.09275i 0.0961302 0.232079i −0.868498 0.495692i \(-0.834914\pi\)
0.964628 + 0.263614i \(0.0849144\pi\)
\(312\) −24.3490 + 1.32298i −1.37849 + 0.0748990i
\(313\) 16.1938 6.70771i 0.915330 0.379142i 0.125236 0.992127i \(-0.460031\pi\)
0.790095 + 0.612985i \(0.210031\pi\)
\(314\) 15.3230 + 9.84222i 0.864727 + 0.555429i
\(315\) 18.1715 + 12.5318i 1.02385 + 0.706087i
\(316\) 0.932945 + 25.7699i 0.0524823 + 1.44967i
\(317\) −11.3639 17.0073i −0.638259 0.955223i −0.999739 0.0228428i \(-0.992728\pi\)
0.361480 0.932380i \(-0.382272\pi\)
\(318\) −19.9309 + 8.68136i −1.11767 + 0.486826i
\(319\) 61.8425 3.46252
\(320\) 17.1405 5.11902i 0.958181 0.286162i
\(321\) −44.5737 −2.48786
\(322\) −1.32469 + 0.576999i −0.0738219 + 0.0321549i
\(323\) −2.54263 3.80532i −0.141476 0.211733i
\(324\) −5.50016 + 0.199122i −0.305564 + 0.0110623i
\(325\) −15.6100 + 2.63083i −0.865889 + 0.145932i
\(326\) −11.3209 7.27162i −0.627008 0.402738i
\(327\) 3.81969 1.58217i 0.211229 0.0874940i
\(328\) −19.5814 17.5632i −1.08120 0.969767i
\(329\) −2.15948 + 5.21344i −0.119056 + 0.287426i
\(330\) −54.0459 10.5594i −2.97513 0.581277i
\(331\) −3.77440 + 5.64879i −0.207460 + 0.310485i −0.920578 0.390558i \(-0.872282\pi\)
0.713119 + 0.701043i \(0.247282\pi\)
\(332\) 3.69237 2.66531i 0.202645 0.146278i
\(333\) −0.612283 + 3.07815i −0.0335529 + 0.168682i
\(334\) −19.5118 + 20.2310i −1.06764 + 1.10699i
\(335\) −15.6667 0.230193i −0.855965 0.0125768i
\(336\) 12.0305 21.1747i 0.656318 1.15517i
\(337\) 4.02973 4.02973i 0.219514 0.219514i −0.588780 0.808293i \(-0.700392\pi\)
0.808293 + 0.588780i \(0.200392\pi\)
\(338\) 0.0761518 + 4.20832i 0.00414211 + 0.228902i
\(339\) −3.74481 + 18.8264i −0.203390 + 1.02251i
\(340\) 6.04110 + 3.85133i 0.327625 + 0.208868i
\(341\) −18.4396 12.3210i −0.998562 0.667218i
\(342\) −3.16291 + 17.5553i −0.171030 + 0.949281i
\(343\) −7.70144 + 18.5929i −0.415838 + 1.00392i
\(344\) −14.0952 + 10.5676i −0.759961 + 0.569767i
\(345\) −1.10244 + 2.55470i −0.0593532 + 0.137540i
\(346\) −4.26628 19.5888i −0.229357 1.05310i
\(347\) −9.61100 + 1.91175i −0.515945 + 0.102628i −0.446194 0.894936i \(-0.647221\pi\)
−0.0697517 + 0.997564i \(0.522221\pi\)
\(348\) 21.9021 + 47.8971i 1.17407 + 2.56755i
\(349\) −3.08654 4.61933i −0.165218 0.247267i 0.739617 0.673028i \(-0.235007\pi\)
−0.904836 + 0.425761i \(0.860007\pi\)
\(350\) 6.21471 14.5372i 0.332190 0.777047i
\(351\) 12.2005i 0.651217i
\(352\) −3.82315 + 35.9727i −0.203775 + 1.91735i
\(353\) −16.4074 −0.873279 −0.436639 0.899637i \(-0.643831\pi\)
−0.436639 + 0.899637i \(0.643831\pi\)
\(354\) 4.72222 12.0106i 0.250983 0.638356i
\(355\) 15.0445 + 3.22300i 0.798477 + 0.171059i
\(356\) 3.76143 10.0998i 0.199355 0.535289i
\(357\) 9.56619 1.90283i 0.506296 0.100709i
\(358\) −2.47735 11.3748i −0.130932 0.601179i
\(359\) −7.12735 + 2.95225i −0.376167 + 0.155814i −0.562753 0.826625i \(-0.690258\pi\)
0.186586 + 0.982439i \(0.440258\pi\)
\(360\) −6.52736 27.1503i −0.344022 1.43094i
\(361\) 10.0135 + 4.14773i 0.527027 + 0.218302i
\(362\) 1.20883 + 0.217793i 0.0635347 + 0.0114469i
\(363\) 45.2277 67.6880i 2.37384 3.55270i
\(364\) 12.0485 + 7.43451i 0.631513 + 0.389674i
\(365\) 8.70492 5.63323i 0.455636 0.294857i
\(366\) −1.03273 57.0712i −0.0539819 2.98316i
\(367\) −11.8976 + 11.8976i −0.621048 + 0.621048i −0.945799 0.324751i \(-0.894719\pi\)
0.324751 + 0.945799i \(0.394719\pi\)
\(368\) 1.73486 + 0.575539i 0.0904358 + 0.0300021i
\(369\) −29.0340 + 29.0340i −1.51145 + 1.51145i
\(370\) 2.24785 0.00764623i 0.116860 0.000397508i
\(371\) 12.3792 + 2.46237i 0.642696 + 0.127840i
\(372\) 3.01204 18.6451i 0.156167 0.966702i
\(373\) 14.3856 + 9.61213i 0.744857 + 0.497697i 0.869150 0.494548i \(-0.164666\pi\)
−0.124293 + 0.992246i \(0.539666\pi\)
\(374\) −11.8989 + 8.26582i −0.615276 + 0.427416i
\(375\) −10.4001 28.6135i −0.537059 1.47759i
\(376\) 6.43723 3.08559i 0.331975 0.159127i
\(377\) −28.2866 + 11.7167i −1.45683 + 0.603441i
\(378\) −10.2522 6.58517i −0.527317 0.338705i
\(379\) 0.340573 0.0677442i 0.0174941 0.00347978i −0.186336 0.982486i \(-0.559661\pi\)
0.203830 + 0.979006i \(0.434661\pi\)
\(380\) 12.7732 0.274603i 0.655249 0.0140868i
\(381\) 40.7290 27.2142i 2.08661 1.39423i
\(382\) −8.46960 19.4447i −0.433342 0.994877i
\(383\) 16.7280i 0.854759i 0.904072 + 0.427379i \(0.140563\pi\)
−0.904072 + 0.427379i \(0.859437\pi\)
\(384\) −29.2149 + 9.77902i −1.49087 + 0.499034i
\(385\) 22.2729 + 22.9372i 1.13513 + 1.16899i
\(386\) 28.9967 12.6302i 1.47589 0.642860i
\(387\) 15.2779 + 22.8650i 0.776620 + 1.16229i
\(388\) 14.1130 15.1733i 0.716480 0.770306i
\(389\) 12.7383 2.53380i 0.645855 0.128469i 0.138715 0.990332i \(-0.455703\pi\)
0.507140 + 0.861864i \(0.330703\pi\)
\(390\) 26.7210 5.40970i 1.35307 0.273931i
\(391\) 0.280141 + 0.676321i 0.0141674 + 0.0342030i
\(392\) 5.10349 2.44629i 0.257765 0.123556i
\(393\) 17.8108 + 7.37747i 0.898436 + 0.372144i
\(394\) −12.5010 + 8.68415i −0.629794 + 0.437501i
\(395\) −5.20851 28.3561i −0.262069 1.42675i
\(396\) 55.7467 + 9.00566i 2.80138 + 0.452551i
\(397\) 4.77696 24.0154i 0.239749 1.20530i −0.653918 0.756566i \(-0.726876\pi\)
0.893666 0.448732i \(-0.148124\pi\)
\(398\) −10.1348 + 10.5084i −0.508012 + 0.526737i
\(399\) 12.2991 12.2991i 0.615725 0.615725i
\(400\) −18.1316 + 8.44071i −0.906579 + 0.422035i
\(401\) 12.0241 + 12.0241i 0.600454 + 0.600454i 0.940433 0.339979i \(-0.110420\pi\)
−0.339979 + 0.940433i \(0.610420\pi\)
\(402\) 26.9802 0.488221i 1.34565 0.0243502i
\(403\) 10.7686 + 2.14200i 0.536421 + 0.106701i
\(404\) 7.14971 + 4.41172i 0.355711 + 0.219491i
\(405\) 6.05214 1.11167i 0.300733 0.0552395i
\(406\) 5.42189 30.0935i 0.269084 1.49351i
\(407\) −1.73959 + 4.19975i −0.0862285 + 0.208174i
\(408\) −10.6160 6.28826i −0.525569 0.311315i
\(409\) −2.28021 + 0.944493i −0.112749 + 0.0467022i −0.438345 0.898807i \(-0.644435\pi\)
0.325596 + 0.945509i \(0.394435\pi\)
\(410\) 24.5079 + 16.2554i 1.21036 + 0.802795i
\(411\) −2.39296 12.0302i −0.118036 0.593408i
\(412\) 10.8834 + 4.05326i 0.536187 + 0.199690i
\(413\) −6.23007 + 4.16280i −0.306562 + 0.204838i
\(414\) 1.04401 2.65537i 0.0513105 0.130504i
\(415\) −3.65263 + 3.54685i −0.179301 + 0.174108i
\(416\) −5.06670 17.1782i −0.248416 0.842229i
\(417\) −35.3013 −1.72871
\(418\) −9.45377 + 24.0449i −0.462399 + 1.17608i
\(419\) 10.7501 + 16.0886i 0.525174 + 0.785979i 0.995322 0.0966086i \(-0.0307995\pi\)
−0.470148 + 0.882588i \(0.655800\pi\)
\(420\) −9.87670 + 25.3737i −0.481934 + 1.23811i
\(421\) −0.814178 4.09315i −0.0396806 0.199488i 0.955860 0.293823i \(-0.0949276\pi\)
−0.995541 + 0.0943349i \(0.969928\pi\)
\(422\) −33.9867 + 7.40203i −1.65445 + 0.360325i
\(423\) −4.26432 10.2950i −0.207338 0.500559i
\(424\) −9.57791 12.7751i −0.465145 0.620415i
\(425\) −7.30699 3.28138i −0.354441 0.159170i
\(426\) −26.0780 4.69843i −1.26348 0.227640i
\(427\) −18.4118 + 27.5552i −0.891009 + 1.33349i
\(428\) −7.54431 31.8566i −0.364668 1.53985i
\(429\) −10.7560 + 54.0739i −0.519303 + 2.61071i
\(430\) 13.8798 13.9745i 0.669342 0.673911i
\(431\) 16.2590 + 16.2590i 0.783169 + 0.783169i 0.980364 0.197195i \(-0.0631833\pi\)
−0.197195 + 0.980364i \(0.563183\pi\)
\(432\) 4.09251 + 14.8611i 0.196901 + 0.715004i
\(433\) 7.56914 + 7.56914i 0.363750 + 0.363750i 0.865191 0.501442i \(-0.167197\pi\)
−0.501442 + 0.865191i \(0.667197\pi\)
\(434\) −7.61221 + 7.89278i −0.365398 + 0.378866i
\(435\) −31.9912 49.4353i −1.53386 2.37024i
\(436\) 1.77727 + 2.46212i 0.0851156 + 0.117914i
\(437\) 1.08544 + 0.725270i 0.0519238 + 0.0346944i
\(438\) −14.6658 + 10.1879i −0.700757 + 0.486797i
\(439\) −0.303189 + 0.731963i −0.0144704 + 0.0349347i −0.930950 0.365148i \(-0.881018\pi\)
0.916479 + 0.400082i \(0.131018\pi\)
\(440\) −1.60076 40.4136i −0.0763131 1.92664i
\(441\) −3.38079 8.16196i −0.160990 0.388665i
\(442\) 3.87646 6.03513i 0.184385 0.287062i
\(443\) −6.41866 32.2688i −0.304960 1.53314i −0.764291 0.644871i \(-0.776911\pi\)
0.459331 0.888265i \(-0.348089\pi\)
\(444\) −3.86880 + 0.140062i −0.183605 + 0.00664705i
\(445\) −2.52413 + 11.7823i −0.119655 + 0.558533i
\(446\) 6.45799 + 14.8264i 0.305795 + 0.702050i
\(447\) 12.2678i 0.580249i
\(448\) 17.1697 + 5.01422i 0.811191 + 0.236900i
\(449\) 14.7605 0.696589 0.348295 0.937385i \(-0.386761\pi\)
0.348295 + 0.937385i \(0.386761\pi\)
\(450\) 11.6209 + 28.9764i 0.547815 + 1.36596i
\(451\) −49.4493 + 33.0410i −2.32848 + 1.55584i
\(452\) −14.0890 + 0.510063i −0.662690 + 0.0239913i
\(453\) 1.54699 + 7.77725i 0.0726840 + 0.365407i
\(454\) 16.9747 + 10.9031i 0.796662 + 0.511709i
\(455\) −14.5332 6.27157i −0.681329 0.294016i
\(456\) −21.9709 + 1.19377i −1.02888 + 0.0559035i
\(457\) −27.6627 11.4583i −1.29401 0.535995i −0.373829 0.927497i \(-0.621955\pi\)
−0.920177 + 0.391502i \(0.871955\pi\)
\(458\) −0.178901 + 0.124277i −0.00835947 + 0.00580711i
\(459\) −3.42976 + 5.13299i −0.160087 + 0.239588i
\(460\) −2.01242 0.355511i −0.0938296 0.0165758i
\(461\) −0.858057 0.170678i −0.0399637 0.00794927i 0.175068 0.984556i \(-0.443985\pi\)
−0.215032 + 0.976607i \(0.568985\pi\)
\(462\) −39.6332 38.2243i −1.84390 1.77836i
\(463\) −6.21428 6.21428i −0.288802 0.288802i 0.547804 0.836606i \(-0.315464\pi\)
−0.836606 + 0.547804i \(0.815464\pi\)
\(464\) −30.5248 + 23.7601i −1.41708 + 1.10303i
\(465\) −0.310227 + 21.1138i −0.0143864 + 0.979129i
\(466\) −34.3237 + 0.621106i −1.59001 + 0.0287722i
\(467\) 7.10583 + 1.41344i 0.328819 + 0.0654061i 0.356739 0.934204i \(-0.383888\pi\)
−0.0279204 + 0.999610i \(0.508888\pi\)
\(468\) −27.2046 + 6.44261i −1.25753 + 0.297810i
\(469\) −13.0266 8.70410i −0.601513 0.401918i
\(470\) −6.62095 + 4.45663i −0.305402 + 0.205569i
\(471\) 32.3973 + 13.4194i 1.49279 + 0.618334i
\(472\) 9.38317 + 1.34210i 0.431895 + 0.0617750i
\(473\) 15.2425 + 36.7987i 0.700852 + 1.69201i
\(474\) 10.5662 + 48.5153i 0.485323 + 2.22838i
\(475\) −14.0855 + 2.37389i −0.646286 + 0.108922i
\(476\) 2.97907 + 6.51484i 0.136545 + 0.298607i
\(477\) −20.7236 + 13.8471i −0.948871 + 0.634015i
\(478\) 4.25079 10.8116i 0.194427 0.494509i
\(479\) 20.6017i 0.941317i 0.882316 + 0.470658i \(0.155984\pi\)
−0.882316 + 0.470658i \(0.844016\pi\)
\(480\) 30.7334 15.5526i 1.40278 0.709876i
\(481\) 2.25054i 0.102616i
\(482\) 37.1071 + 14.5894i 1.69018 + 0.664530i
\(483\) −2.31328 + 1.54568i −0.105258 + 0.0703310i
\(484\) 56.0313 + 20.8675i 2.54688 + 0.948522i
\(485\) −13.1531 + 19.0723i −0.597250 + 0.866029i
\(486\) −26.3296 + 5.73438i −1.19434 + 0.260117i
\(487\) 0.841211 + 2.03086i 0.0381189 + 0.0920271i 0.941792 0.336195i \(-0.109140\pi\)
−0.903674 + 0.428222i \(0.859140\pi\)
\(488\) 40.6137 10.3976i 1.83850 0.470679i
\(489\) −23.9358 9.91452i −1.08241 0.448350i
\(490\) −5.24915 + 3.53326i −0.237132 + 0.159616i
\(491\) 28.9917 + 19.3717i 1.30838 + 0.874231i 0.997101 0.0760879i \(-0.0242429\pi\)
0.311278 + 0.950319i \(0.399243\pi\)
\(492\) −43.1032 26.5968i −1.94324 1.19908i
\(493\) −15.1944 3.02236i −0.684323 0.136120i
\(494\) −0.231428 12.7892i −0.0104124 0.575413i
\(495\) −63.1279 0.927544i −2.83739 0.0416900i
\(496\) 13.8353 1.00308i 0.621225 0.0450394i
\(497\) 10.8784 + 10.8784i 0.487963 + 0.487963i
\(498\) 6.08704 6.31140i 0.272767 0.282821i
\(499\) 13.6066 + 2.70652i 0.609116 + 0.121161i 0.490004 0.871720i \(-0.336995\pi\)
0.119112 + 0.992881i \(0.461995\pi\)
\(500\) 18.6896 12.2759i 0.835827 0.548994i
\(501\) −30.0676 + 44.9993i −1.34332 + 2.01042i
\(502\) −5.61274 8.07968i −0.250509 0.360614i
\(503\) 25.2916 + 10.4761i 1.12770 + 0.467107i 0.866997 0.498314i \(-0.166047\pi\)
0.260698 + 0.965420i \(0.416047\pi\)
\(504\) 9.26974 26.3376i 0.412907 1.17317i
\(505\) −8.62418 3.72162i −0.383771 0.165610i
\(506\) 2.23344 3.47716i 0.0992884 0.154579i
\(507\) 1.58110 + 7.94874i 0.0702193 + 0.353016i
\(508\) 26.3434 + 24.5027i 1.16880 + 1.08713i
\(509\) 15.3172 10.2346i 0.678921 0.453641i −0.167699 0.985838i \(-0.553634\pi\)
0.846620 + 0.532197i \(0.178634\pi\)
\(510\) 12.7628 + 5.23572i 0.565145 + 0.231842i
\(511\) 10.3677 0.458639
\(512\) −11.9338 19.2246i −0.527403 0.849615i
\(513\) 11.0090i 0.486059i
\(514\) 8.61190 3.75112i 0.379855 0.165455i
\(515\) −12.6964 2.71997i −0.559470 0.119856i
\(516\) −23.1023 + 24.8379i −1.01702 + 1.09343i
\(517\) −3.14875 15.8298i −0.138482 0.696195i
\(518\) 1.89115 + 1.21471i 0.0830922 + 0.0533715i
\(519\) −14.7726 35.6641i −0.648444 1.56548i
\(520\) 8.38894 + 18.1818i 0.367879 + 0.797324i
\(521\) −11.8784 + 28.6771i −0.520404 + 1.25637i 0.417249 + 0.908792i \(0.362994\pi\)
−0.937653 + 0.347574i \(0.887006\pi\)
\(522\) 34.4495 + 49.5910i 1.50782 + 2.17054i
\(523\) 19.4756 + 13.0132i 0.851607 + 0.569026i 0.902994 0.429653i \(-0.141364\pi\)
−0.0513870 + 0.998679i \(0.516364\pi\)
\(524\) −2.25808 + 13.9780i −0.0986448 + 0.610630i
\(525\) 6.81359 29.6698i 0.297369 1.29490i
\(526\) 3.52024 + 3.39510i 0.153490 + 0.148034i
\(527\) 3.92838 + 3.92838i 0.171123 + 0.171123i
\(528\) 5.03689 + 69.4735i 0.219203 + 3.02345i
\(529\) 16.1158 + 16.1158i 0.700687 + 0.700687i
\(530\) 12.6658 + 12.5799i 0.550166 + 0.546435i
\(531\) 2.88658 14.5118i 0.125267 0.629759i
\(532\) 10.8718 + 6.70842i 0.471351 + 0.290847i
\(533\) 16.3580 24.4815i 0.708546 1.06041i
\(534\) 3.67964 20.4233i 0.159233 0.883804i
\(535\) 13.5086 + 34.0179i 0.584029 + 1.47072i
\(536\) 4.91544 + 19.1999i 0.212315 + 0.829311i
\(537\) −8.57814 20.7095i −0.370174 0.893680i
\(538\) 0.0171411 + 0.0787042i 0.000739007 + 0.00339318i
\(539\) −2.49636 12.5500i −0.107526 0.540568i
\(540\) −6.93574 15.7764i −0.298467 0.678910i
\(541\) −4.48562 6.71321i −0.192852 0.288623i 0.722424 0.691450i \(-0.243028\pi\)
−0.915276 + 0.402827i \(0.868028\pi\)
\(542\) 5.35670 + 2.10610i 0.230090 + 0.0904648i
\(543\) 2.36509 0.101496
\(544\) 2.69739 8.65149i 0.115649 0.370930i
\(545\) −2.36509 2.43563i −0.101309 0.104331i
\(546\) 25.3701 + 9.97480i 1.08574 + 0.426882i
\(547\) −25.7673 + 17.2172i −1.10173 + 0.736153i −0.967012 0.254730i \(-0.918013\pi\)
−0.134719 + 0.990884i \(0.543013\pi\)
\(548\) 8.19293 3.74641i 0.349985 0.160039i
\(549\) −12.7672 64.1849i −0.544889 2.73934i
\(550\) 8.32053 + 44.4471i 0.354789 + 1.89523i
\(551\) −25.5240 + 10.5724i −1.08736 + 0.450399i
\(552\) 3.48405 + 0.498332i 0.148291 + 0.0212104i
\(553\) 11.0319 26.6334i 0.469124 1.13257i
\(554\) −20.2595 3.65012i −0.860743 0.155079i
\(555\) 4.25707 0.781948i 0.180702 0.0331918i
\(556\) −5.97490 25.2296i −0.253392 1.06997i
\(557\) 6.84556 + 1.36167i 0.290056 + 0.0576957i 0.337974 0.941156i \(-0.390259\pi\)
−0.0479177 + 0.998851i \(0.515259\pi\)
\(558\) −0.391769 21.6500i −0.0165849 0.916518i
\(559\) −13.9438 13.9438i −0.589759 0.589759i
\(560\) −19.8062 2.76421i −0.836963 0.116809i
\(561\) −19.7262 + 19.7262i −0.832841 + 0.832841i
\(562\) 12.2504 + 11.8149i 0.516753 + 0.498383i
\(563\) 1.18300 5.94733i 0.0498574 0.250650i −0.947817 0.318816i \(-0.896715\pi\)
0.997674 + 0.0681661i \(0.0217148\pi\)
\(564\) 11.1450 8.04497i 0.469291 0.338755i
\(565\) 15.5029 2.84762i 0.652213 0.119800i
\(566\) −19.5063 28.0798i −0.819910 1.18028i
\(567\) 5.68446 + 2.35458i 0.238725 + 0.0988831i
\(568\) −1.05588 19.4330i −0.0443036 0.815392i
\(569\) 12.5152 + 30.2144i 0.524664 + 1.26665i 0.934977 + 0.354707i \(0.115419\pi\)
−0.410313 + 0.911945i \(0.634581\pi\)
\(570\) 24.1113 4.88136i 1.00991 0.204458i
\(571\) 26.6055 5.29217i 1.11341 0.221470i 0.396086 0.918214i \(-0.370368\pi\)
0.717321 + 0.696743i \(0.245368\pi\)
\(572\) −40.4668 + 1.46502i −1.69200 + 0.0612555i
\(573\) −22.6886 33.9559i −0.947831 1.41853i
\(574\) 11.7429 + 26.9596i 0.490138 + 1.12527i
\(575\) 2.28381 + 0.0671268i 0.0952414 + 0.00279938i
\(576\) −30.9759 + 16.9730i −1.29066 + 0.707207i
\(577\) 4.88434i 0.203338i −0.994818 0.101669i \(-0.967582\pi\)
0.994818 0.101669i \(-0.0324182\pi\)
\(578\) −18.7140 + 8.15134i −0.778400 + 0.339051i
\(579\) 50.6364 33.8342i 2.10438 1.40610i
\(580\) 29.9165 31.2311i 1.24222 1.29680i
\(581\) −4.99305 + 0.993180i −0.207147 + 0.0412041i
\(582\) 21.5637 33.5717i 0.893843 1.39159i
\(583\) −33.3524 + 13.8150i −1.38131 + 0.572159i
\(584\) −9.76349 8.75719i −0.404016 0.362375i
\(585\) 29.0503 11.5360i 1.20108 0.476954i
\(586\) 11.7193 + 16.8703i 0.484122 + 0.696905i
\(587\) 21.6936 + 14.4952i 0.895391 + 0.598281i 0.915855 0.401509i \(-0.131514\pi\)
−0.0204637 + 0.999791i \(0.506514\pi\)
\(588\) 8.83590 6.37813i 0.364386 0.263030i
\(589\) 9.71686 + 1.93280i 0.400376 + 0.0796398i
\(590\) −10.5974 + 0.0360478i −0.436288 + 0.00148406i
\(591\) −20.7245 + 20.7245i −0.852492 + 0.852492i
\(592\) −0.754914 2.74131i −0.0310268 0.112667i
\(593\) 12.5659 12.5659i 0.516020 0.516020i −0.400344 0.916365i \(-0.631109\pi\)
0.916365 + 0.400344i \(0.131109\pi\)
\(594\) 34.8454 0.630546i 1.42972 0.0258716i
\(595\) −4.35136 6.72407i −0.178389 0.275660i
\(596\) 8.76777 2.07639i 0.359142 0.0850522i
\(597\) −15.6177 + 23.3735i −0.639189 + 0.956614i
\(598\) −0.362785 + 2.01359i −0.0148354 + 0.0823418i
\(599\) −41.6757 17.2626i −1.70282 0.705333i −0.702842 0.711346i \(-0.748086\pi\)
−0.999982 + 0.00601329i \(0.998086\pi\)
\(600\) −31.4775 + 22.1856i −1.28506 + 0.905722i
\(601\) −26.8940 + 11.1398i −1.09703 + 0.454404i −0.856452 0.516227i \(-0.827336\pi\)
−0.240575 + 0.970630i \(0.577336\pi\)
\(602\) 19.2431 4.19100i 0.784291 0.170812i
\(603\) 30.3431 6.03562i 1.23567 0.245790i
\(604\) −5.29653 + 2.42196i −0.215513 + 0.0985483i
\(605\) −65.3651 14.0033i −2.65747 0.569314i
\(606\) 15.0549 + 5.91915i 0.611564 + 0.240449i
\(607\) 28.7320 1.16620 0.583099 0.812401i \(-0.301840\pi\)
0.583099 + 0.812401i \(0.301840\pi\)
\(608\) −4.57186 15.5005i −0.185414 0.628627i
\(609\) 58.8782i 2.38586i
\(610\) −43.2428 + 18.0843i −1.75085 + 0.732212i
\(611\) 4.43935 + 6.64396i 0.179597 + 0.268786i
\(612\) −13.2566 4.93709i −0.535866 0.199570i
\(613\) 43.9048 8.73320i 1.77330 0.352731i 0.803249 0.595644i \(-0.203103\pi\)
0.970048 + 0.242913i \(0.0781031\pi\)
\(614\) 22.6319 4.92904i 0.913348 0.198920i
\(615\) 51.9923 + 22.4364i 2.09653 + 0.904722i
\(616\) 20.6106 34.7953i 0.830426 1.40194i
\(617\) 12.3416 29.7954i 0.496856 1.19952i −0.454312 0.890843i \(-0.650115\pi\)
0.951168 0.308674i \(-0.0998852\pi\)
\(618\) 22.0079 + 3.96512i 0.885286 + 0.159501i
\(619\) −10.4060 6.95304i −0.418251 0.279466i 0.328586 0.944474i \(-0.393428\pi\)
−0.746836 + 0.665008i \(0.768428\pi\)
\(620\) −15.1424 + 3.35189i −0.608135 + 0.134615i
\(621\) 0.343539 1.72709i 0.0137858 0.0693057i
\(622\) 6.26389 0.113349i 0.251159 0.00454486i
\(623\) −8.51956 + 8.51956i −0.341329 + 0.341329i
\(624\) −15.4663 30.8227i −0.619149 1.23390i
\(625\) −18.6854 + 16.6089i −0.747417 + 0.664355i
\(626\) 17.8424 + 17.2081i 0.713124 + 0.687774i
\(627\) −9.70548 + 48.7927i −0.387600 + 1.94859i
\(628\) −4.10739 + 25.4255i −0.163903 + 1.01459i
\(629\) 0.632660 0.946843i 0.0252258 0.0377531i
\(630\) −5.98594 + 30.6376i −0.238486 + 1.22063i
\(631\) 15.0824 36.4122i 0.600421 1.44955i −0.272727 0.962091i \(-0.587926\pi\)
0.873149 0.487454i \(-0.162074\pi\)
\(632\) −32.8852 + 15.7631i −1.30810 + 0.627021i
\(633\) −61.8775 + 25.6305i −2.45941 + 1.01872i
\(634\) 15.6332 24.3387i 0.620873 0.966614i
\(635\) −33.1129 22.8360i −1.31404 0.906220i
\(636\) −22.5118 20.9387i −0.892650 0.830275i
\(637\) 3.51956 + 5.26739i 0.139450 + 0.208702i
\(638\) 34.9254 + 80.1824i 1.38271 + 3.17445i
\(639\) −30.3796 −1.20180
\(640\) 16.3171 + 19.3326i 0.644991 + 0.764190i
\(641\) 13.0253 0.514466 0.257233 0.966349i \(-0.417189\pi\)
0.257233 + 0.966349i \(0.417189\pi\)
\(642\) −25.1729 57.7924i −0.993494 2.28089i
\(643\) −11.1796 16.7315i −0.440881 0.659825i 0.542776 0.839878i \(-0.317373\pi\)
−0.983657 + 0.180052i \(0.942373\pi\)
\(644\) −1.49622 1.39167i −0.0589595 0.0548396i
\(645\) 21.5310 31.2205i 0.847780 1.22930i
\(646\) 3.49787 5.44571i 0.137622 0.214258i
\(647\) 31.5278 13.0593i 1.23949 0.513412i 0.335932 0.941886i \(-0.390949\pi\)
0.903554 + 0.428474i \(0.140949\pi\)
\(648\) −3.36437 7.01882i −0.132165 0.275725i
\(649\) 8.20124 19.7995i 0.321927 0.777200i
\(650\) −12.2267 18.7536i −0.479572 0.735575i
\(651\) −11.7304 + 17.5557i −0.459749 + 0.688063i
\(652\) 3.03462 18.7849i 0.118845 0.735672i
\(653\) −1.84014 + 9.25098i −0.0720101 + 0.362019i −0.999942 0.0107296i \(-0.996585\pi\)
0.927932 + 0.372749i \(0.121585\pi\)
\(654\) 4.20853 + 4.05892i 0.164566 + 0.158716i
\(655\) 0.232573 15.8287i 0.00908737 0.618479i
\(656\) 11.7132 35.3072i 0.457323 1.37852i
\(657\) −14.4766 + 14.4766i −0.564788 + 0.564788i
\(658\) −7.97908 + 0.144386i −0.311057 + 0.00562875i
\(659\) 5.73319 28.8227i 0.223333 1.12277i −0.692563 0.721358i \(-0.743518\pi\)
0.915896 0.401415i \(-0.131482\pi\)
\(660\) −16.8314 76.0370i −0.655160 2.95974i
\(661\) 19.2760 + 12.8798i 0.749751 + 0.500968i 0.870775 0.491682i \(-0.163618\pi\)
−0.121024 + 0.992650i \(0.538618\pi\)
\(662\) −9.45555 1.70359i −0.367501 0.0662120i
\(663\) 5.28538 12.7600i 0.205267 0.495559i
\(664\) 5.54098 + 3.28214i 0.215032 + 0.127372i
\(665\) −13.1139 5.65906i −0.508533 0.219449i
\(666\) −4.33679 + 0.944517i −0.168047 + 0.0365993i
\(667\) 4.33412 0.862110i 0.167818 0.0333810i
\(668\) −37.2499 13.8728i −1.44124 0.536755i
\(669\) 17.2999 + 25.8911i 0.668851 + 1.00101i
\(670\) −8.54928 20.4428i −0.330288 0.789775i
\(671\) 94.7874i 3.65923i
\(672\) 34.2484 + 3.63989i 1.32116 + 0.140412i
\(673\) 22.2492 0.857643 0.428821 0.903389i \(-0.358929\pi\)
0.428821 + 0.903389i \(0.358929\pi\)
\(674\) 7.50056 + 2.94900i 0.288911 + 0.113591i
\(675\) 10.2293 + 16.3282i 0.393728 + 0.628474i
\(676\) −5.41332 + 2.47537i −0.208204 + 0.0952064i
\(677\) −36.0637 + 7.17351i −1.38604 + 0.275700i −0.831069 0.556170i \(-0.812271\pi\)
−0.554971 + 0.831870i \(0.687271\pi\)
\(678\) −26.5244 + 5.77681i −1.01866 + 0.221857i
\(679\) −21.4024 + 8.86518i −0.821350 + 0.340214i
\(680\) −1.58179 + 10.0077i −0.0606588 + 0.383776i
\(681\) 35.8895 + 14.8659i 1.37529 + 0.569664i
\(682\) 5.56112 30.8663i 0.212946 1.18193i
\(683\) −13.9098 + 20.8175i −0.532244 + 0.796560i −0.995995 0.0894057i \(-0.971503\pi\)
0.463751 + 0.885966i \(0.346503\pi\)
\(684\) −24.5477 + 5.81340i −0.938604 + 0.222281i
\(685\) −8.45605 + 5.47218i −0.323089 + 0.209081i
\(686\) −28.4561 + 0.514929i −1.08646 + 0.0196601i
\(687\) −0.296585 + 0.296585i −0.0113154 + 0.0113154i
\(688\) −21.6617 12.3072i −0.825845 0.469207i
\(689\) 12.6379 12.6379i 0.481466 0.481466i
\(690\) −3.93491 + 0.0133848i −0.149799 + 0.000509553i
\(691\) −2.61557 0.520269i −0.0995010 0.0197920i 0.145089 0.989419i \(-0.453653\pi\)
−0.244590 + 0.969627i \(0.578653\pi\)
\(692\) 22.9887 16.5942i 0.873897 0.630817i
\(693\) −52.4897 35.0725i −1.99392 1.33229i
\(694\) −7.90647 11.3816i −0.300125 0.432038i
\(695\) 10.6985 + 26.9413i 0.405817 + 1.02194i
\(696\) −49.7322 + 55.4470i −1.88509 + 2.10171i
\(697\) 13.7643 5.70134i 0.521358 0.215954i
\(698\) 4.24611 6.61062i 0.160718 0.250216i
\(699\) −64.8312 + 12.8957i −2.45214 + 0.487761i
\(700\) 22.3581 0.152107i 0.845056 0.00574909i
\(701\) 27.7772 18.5601i 1.04913 0.701006i 0.0935123 0.995618i \(-0.470191\pi\)
0.955617 + 0.294612i \(0.0951906\pi\)
\(702\) −15.8187 + 6.89022i −0.597039 + 0.260055i
\(703\) 2.03074i 0.0765908i
\(704\) −48.7998 + 15.3586i −1.83921 + 0.578847i
\(705\) −11.0251 + 10.7058i −0.415229 + 0.403204i
\(706\) −9.26603 21.2732i −0.348732 0.800626i
\(707\) −5.21794 7.80920i −0.196241 0.293695i
\(708\) 18.2393 0.660316i 0.685474 0.0248162i
\(709\) 22.0408 4.38420i 0.827761 0.164652i 0.237012 0.971507i \(-0.423832\pi\)
0.590750 + 0.806855i \(0.298832\pi\)
\(710\) 4.31751 + 21.3262i 0.162033 + 0.800358i
\(711\) 21.7847 + 52.5930i 0.816991 + 1.97239i
\(712\) 15.2192 0.826924i 0.570365 0.0309903i
\(713\) −1.46407 0.606436i −0.0548297 0.0227112i
\(714\) 7.86961 + 11.3285i 0.294513 + 0.423958i
\(715\) 44.5280 8.17901i 1.66525 0.305878i
\(716\) 13.3491 9.63593i 0.498878 0.360112i
\(717\) 4.36397 21.9392i 0.162975 0.819333i
\(718\) −7.85291 7.57375i −0.293068 0.282650i
\(719\) −12.4965 + 12.4965i −0.466040 + 0.466040i −0.900629 0.434589i \(-0.856894\pi\)
0.434589 + 0.900629i \(0.356894\pi\)
\(720\) 31.5156 23.7961i 1.17452 0.886829i
\(721\) −9.18056 9.18056i −0.341902 0.341902i
\(722\) 0.277324 + 15.3255i 0.0103209 + 0.570357i
\(723\) 75.2988 + 14.9779i 2.80039 + 0.557033i
\(724\) 0.400302 + 1.69032i 0.0148771 + 0.0628201i
\(725\) −28.0328 + 39.3971i −1.04111 + 1.46317i
\(726\) 113.304 + 20.4137i 4.20509 + 0.757624i
\(727\) 3.03280 7.32183i 0.112480 0.271552i −0.857608 0.514304i \(-0.828050\pi\)
0.970088 + 0.242752i \(0.0780503\pi\)
\(728\) −2.83493 + 19.8202i −0.105069 + 0.734585i
\(729\) −40.3095 + 16.6968i −1.49295 + 0.618398i
\(730\) 12.2199 + 8.10507i 0.452278 + 0.299982i
\(731\) −1.94660 9.78620i −0.0719975 0.361956i
\(732\) 73.4128 33.5698i 2.71342 1.24077i
\(733\) 1.48938 0.995171i 0.0550115 0.0367575i −0.527760 0.849393i \(-0.676968\pi\)
0.582772 + 0.812636i \(0.301968\pi\)
\(734\) −22.1450 8.70677i −0.817386 0.321373i
\(735\) −8.74080 + 8.48766i −0.322409 + 0.313072i
\(736\) 0.233536 + 2.57438i 0.00860825 + 0.0948928i
\(737\) 44.8103 1.65061
\(738\) −54.0412 21.2474i −1.98928 0.782128i
\(739\) 15.6995 + 23.4959i 0.577514 + 0.864310i 0.999097 0.0424792i \(-0.0135256\pi\)
−0.421584 + 0.906790i \(0.638526\pi\)
\(740\) 1.27938 + 2.91015i 0.0470310 + 0.106979i
\(741\) −4.80502 24.1565i −0.176517 0.887410i
\(742\) 3.79850 + 17.4410i 0.139447 + 0.640277i
\(743\) −16.6073 40.0935i −0.609262 1.47089i −0.863805 0.503827i \(-0.831925\pi\)
0.254543 0.967062i \(-0.418075\pi\)
\(744\) 25.8754 6.62446i 0.948640 0.242864i
\(745\) −9.36261 + 3.71793i −0.343020 + 0.136214i
\(746\) −4.33848 + 24.0801i −0.158843 + 0.881637i
\(747\) 5.58512 8.35873i 0.204349 0.305830i
\(748\) −17.4370 10.7595i −0.637558 0.393405i
\(749\) −7.14002 + 35.8953i −0.260890 + 1.31158i
\(750\) 31.2256 29.6437i 1.14020 1.08244i
\(751\) −15.9508 15.9508i −0.582053 0.582053i 0.353414 0.935467i \(-0.385021\pi\)
−0.935467 + 0.353414i \(0.885021\pi\)
\(752\) 7.63605 + 6.60366i 0.278458 + 0.240811i
\(753\) −13.3947 13.3947i −0.488129 0.488129i
\(754\) −31.1661 30.0583i −1.13500 1.09466i
\(755\) 5.46663 3.53763i 0.198951 0.128748i
\(756\) 2.74815 17.0115i 0.0999492 0.618704i
\(757\) 15.3031 + 10.2252i 0.556201 + 0.371642i 0.801674 0.597762i \(-0.203943\pi\)
−0.245472 + 0.969404i \(0.578943\pi\)
\(758\) 0.280172 + 0.403314i 0.0101763 + 0.0146490i
\(759\) 3.04519 7.35174i 0.110533 0.266851i
\(760\) 7.56964 + 16.4061i 0.274580 + 0.595110i
\(761\) −7.81674 18.8713i −0.283357 0.684083i 0.716553 0.697533i \(-0.245719\pi\)
−0.999910 + 0.0134493i \(0.995719\pi\)
\(762\) 58.2864 + 37.4383i 2.11149 + 1.35625i
\(763\) −0.662266 3.32944i −0.0239757 0.120534i
\(764\) 20.4280 21.9626i 0.739058 0.794580i
\(765\) 15.4649 + 3.31307i 0.559135 + 0.119784i
\(766\) −21.6888 + 9.44706i −0.783647 + 0.341336i
\(767\) 10.6101i 0.383107i
\(768\) −29.1781 32.3561i −1.05287 1.16755i
\(769\) −10.5456 −0.380283 −0.190141 0.981757i \(-0.560895\pi\)
−0.190141 + 0.981757i \(0.560895\pi\)
\(770\) −17.1608 + 41.8318i −0.618433 + 1.50751i
\(771\) 15.0388 10.0486i 0.541610 0.361892i
\(772\) 32.7516 + 30.4630i 1.17875 + 1.09639i
\(773\) −9.66062 48.5672i −0.347468 1.74684i −0.619913 0.784670i \(-0.712832\pi\)
0.272445 0.962171i \(-0.412168\pi\)
\(774\) −21.0177 + 32.7217i −0.755464 + 1.17616i
\(775\) 16.2077 6.16204i 0.582198 0.221347i
\(776\) 27.6433 + 9.72929i 0.992336 + 0.349261i
\(777\) 3.99844 + 1.65621i 0.143443 + 0.0594161i
\(778\) 10.4791 + 15.0849i 0.375694 + 0.540821i
\(779\) 14.7604 22.0906i 0.528848 0.791476i
\(780\) 22.1046 + 31.5903i 0.791472 + 1.13111i
\(781\) −43.1566 8.58438i −1.54427 0.307173i
\(782\) −0.718681 + 0.745170i −0.0257000 + 0.0266472i
\(783\) 26.3511 + 26.3511i 0.941711 + 0.941711i
\(784\) 6.05393 + 5.23544i 0.216212 + 0.186980i
\(785\) 0.423043 28.7920i 0.0150991 1.02763i
\(786\) 0.493269 + 27.2591i 0.0175943 + 0.972301i
\(787\) 11.7359 + 2.33442i 0.418340 + 0.0832131i 0.399772 0.916615i \(-0.369089\pi\)
0.0185681 + 0.999828i \(0.494089\pi\)
\(788\) −18.3194 11.3040i −0.652602 0.402688i
\(789\) 7.82999 + 5.23183i 0.278755 + 0.186258i
\(790\) 33.8238 22.7671i 1.20340 0.810018i
\(791\) 14.5611 + 6.03140i 0.517733 + 0.214452i
\(792\) 19.8064 + 77.3647i 0.703790 + 2.74904i
\(793\) 17.9584 + 43.3555i 0.637723 + 1.53960i
\(794\) 33.8351 7.36901i 1.20076 0.261516i
\(795\) 28.2966 + 19.5145i 1.00358 + 0.692109i
\(796\) −19.3483 7.20580i −0.685782 0.255403i
\(797\) −13.9334 + 9.31000i −0.493546 + 0.329777i −0.777311 0.629117i \(-0.783417\pi\)
0.283764 + 0.958894i \(0.408417\pi\)
\(798\) 22.8924 + 9.00061i 0.810381 + 0.318618i
\(799\) 4.04320i 0.143038i
\(800\) −21.1836 18.7418i −0.748954 0.662622i
\(801\) 23.7922i 0.840655i
\(802\) −8.79935 + 22.3805i −0.310716 + 0.790282i
\(803\) −24.6559 + 16.4746i −0.870088 + 0.581374i
\(804\) 15.8700 + 34.7056i 0.559690 + 1.22397i
\(805\) 1.88071 + 1.29702i 0.0662862 + 0.0457138i
\(806\) 3.30428 + 15.1718i 0.116388 + 0.534402i
\(807\) 0.0593535 + 0.143292i 0.00208934 + 0.00504412i
\(808\) −1.68228 + 11.7615i −0.0591823 + 0.413768i
\(809\) −16.8882 6.99532i −0.593757 0.245942i 0.0655089 0.997852i \(-0.479133\pi\)
−0.659266 + 0.751910i \(0.729133\pi\)
\(810\) 4.85927 + 7.21914i 0.170738 + 0.253655i
\(811\) 26.8362 + 17.9314i 0.942346 + 0.629656i 0.928930 0.370254i \(-0.120729\pi\)
0.0134159 + 0.999910i \(0.495729\pi\)
\(812\) 42.0799 9.96540i 1.47672 0.349717i
\(813\) 10.8700 + 2.16218i 0.381227 + 0.0758308i
\(814\) −6.42765 + 0.116312i −0.225289 + 0.00407673i
\(815\) −0.312553 + 21.2721i −0.0109482 + 0.745129i
\(816\) 2.15776 17.3155i 0.0755366 0.606163i
\(817\) −12.5820 12.5820i −0.440187 0.440187i
\(818\) −2.51233 2.42302i −0.0878415 0.0847189i
\(819\) 30.6535 + 6.09736i 1.07112 + 0.213059i
\(820\) −7.23524 + 40.9561i −0.252666 + 1.43025i
\(821\) −18.3822 + 27.5108i −0.641541 + 0.960135i 0.358109 + 0.933680i \(0.383422\pi\)
−0.999650 + 0.0264547i \(0.991578\pi\)
\(822\) 14.2465 9.89665i 0.496903 0.345185i
\(823\) −20.7024 8.57522i −0.721641 0.298913i −0.00852899 0.999964i \(-0.502715\pi\)
−0.713112 + 0.701050i \(0.752715\pi\)
\(824\) 0.891081 + 16.4000i 0.0310423 + 0.571322i
\(825\) 30.9424 + 81.3862i 1.07728 + 2.83351i
\(826\) −8.91572 5.72671i −0.310217 0.199258i
\(827\) 2.27858 + 11.4552i 0.0792340 + 0.398336i 0.999967 + 0.00814270i \(0.00259193\pi\)
−0.920733 + 0.390194i \(0.872408\pi\)
\(828\) 4.03244 0.145986i 0.140137 0.00507338i
\(829\) −18.1113 + 12.1016i −0.629031 + 0.420305i −0.828806 0.559537i \(-0.810979\pi\)
0.199774 + 0.979842i \(0.435979\pi\)
\(830\) −6.66151 2.73278i −0.231224 0.0948560i
\(831\) −39.6379 −1.37502
\(832\) 19.4111 16.2706i 0.672958 0.564081i
\(833\) 3.20549i 0.111064i
\(834\) −19.9363 45.7701i −0.690336 1.58489i
\(835\) 43.4551 + 9.30945i 1.50383 + 0.322167i
\(836\) −36.5146 + 1.32194i −1.26288 + 0.0457202i
\(837\) −2.60716 13.1071i −0.0901166 0.453047i
\(838\) −14.7887 + 23.0240i −0.510868 + 0.795352i
\(839\) −17.8949 43.2021i −0.617801 1.49150i −0.854251 0.519860i \(-0.825984\pi\)
0.236450 0.971644i \(-0.424016\pi\)
\(840\) −38.4764 + 1.52403i −1.32756 + 0.0525839i
\(841\) −24.6903 + 59.6077i −0.851391 + 2.05544i
\(842\) 4.84720 3.36722i 0.167046 0.116042i
\(843\) 27.2483 + 18.2068i 0.938482 + 0.627074i
\(844\) −28.7910 39.8855i −0.991029 1.37291i
\(845\) 5.58717 3.61564i 0.192204 0.124382i
\(846\) 10.9398 11.3430i 0.376117 0.389980i
\(847\) −47.2645 47.2645i −1.62403 1.62403i
\(848\) 11.1546 19.6330i 0.383050 0.674201i
\(849\) −46.5513 46.5513i −1.59764 1.59764i
\(850\) 0.127894 11.3271i 0.00438671 0.388516i
\(851\) −0.0633700 + 0.318582i −0.00217229 + 0.0109209i
\(852\) −8.63568 36.4650i −0.295853 1.24927i
\(853\) 3.02225 4.52312i 0.103480 0.154869i −0.776116 0.630590i \(-0.782813\pi\)
0.879596 + 0.475721i \(0.157813\pi\)
\(854\) −46.1249 8.31025i −1.57836 0.284371i
\(855\) 26.2131 10.4093i 0.896469 0.355991i
\(856\) 37.0433 27.7726i 1.26611 0.949246i
\(857\) −1.80020 4.34606i −0.0614935 0.148458i 0.890146 0.455675i \(-0.150602\pi\)
−0.951639 + 0.307217i \(0.900602\pi\)
\(858\) −76.1843 + 16.5923i −2.60089 + 0.566452i
\(859\) 6.62865 + 33.3245i 0.226167 + 1.13702i 0.912294 + 0.409536i \(0.134309\pi\)
−0.686127 + 0.727481i \(0.740691\pi\)
\(860\) 25.9573 + 10.1039i 0.885137 + 0.344539i
\(861\) 31.4572 + 47.0790i 1.07206 + 1.60445i
\(862\) −11.8985 + 30.2630i −0.405265 + 1.03076i
\(863\) −42.3911 −1.44301 −0.721504 0.692410i \(-0.756549\pi\)
−0.721504 + 0.692410i \(0.756549\pi\)
\(864\) −16.9570 + 13.6989i −0.576889 + 0.466047i
\(865\) −22.7412 + 22.0826i −0.773225 + 0.750832i
\(866\) −5.53918 + 14.0885i −0.188229 + 0.478746i
\(867\) −32.6800 + 21.8361i −1.10987 + 0.741591i
\(868\) −14.5324 5.41224i −0.493262 0.183704i
\(869\) 16.0857 + 80.8683i 0.545670 + 2.74327i
\(870\) 46.0288 69.3968i 1.56052 2.35277i
\(871\) −20.4961 + 8.48977i −0.694485 + 0.287665i
\(872\) −2.18858 + 3.69480i −0.0741146 + 0.125122i
\(873\) 17.5061 42.2634i 0.592491 1.43040i
\(874\) −0.327354 + 1.81693i −0.0110729 + 0.0614587i
\(875\) −24.7084 + 3.79179i −0.835297 + 0.128186i
\(876\) −21.4916 13.2614i −0.726135 0.448061i
\(877\) −16.5558 3.29316i −0.559050 0.111202i −0.0925256 0.995710i \(-0.529494\pi\)
−0.466524 + 0.884508i \(0.654494\pi\)
\(878\) −1.12026 + 0.0202717i −0.0378068 + 0.000684136i
\(879\) 27.9679 + 27.9679i 0.943335 + 0.943335i
\(880\) 51.4945 24.8989i 1.73588 0.839342i
\(881\) −0.567217 + 0.567217i −0.0191100 + 0.0191100i −0.716597 0.697487i \(-0.754301\pi\)
0.697487 + 0.716597i \(0.254301\pi\)
\(882\) 8.67316 8.99283i 0.292040 0.302804i
\(883\) 2.03415 10.2264i 0.0684546 0.344144i −0.931346 0.364137i \(-0.881364\pi\)
0.999800 + 0.0199922i \(0.00636414\pi\)
\(884\) 10.0141 + 1.61774i 0.336811 + 0.0544105i
\(885\) −20.0697 + 3.68646i −0.674637 + 0.123919i
\(886\) 38.2134 26.5459i 1.28380 0.891825i
\(887\) −21.1693 8.76860i −0.710795 0.294421i −0.00216143 0.999998i \(-0.500688\pi\)
−0.708633 + 0.705577i \(0.750688\pi\)
\(888\) −2.36649 4.93702i −0.0794142 0.165676i
\(889\) −15.3915 37.1584i −0.516214 1.24625i
\(890\) −16.7019 + 3.38131i −0.559849 + 0.113342i
\(891\) −17.2600 + 3.43323i −0.578232 + 0.115018i
\(892\) −15.5761 + 16.7463i −0.521528 + 0.560708i
\(893\) 4.00578 + 5.99508i 0.134048 + 0.200618i
\(894\) 15.9060 6.92823i 0.531975 0.231715i
\(895\) −13.2054 + 12.8230i −0.441408 + 0.428624i
\(896\) 3.19529 + 25.0932i 0.106747 + 0.838306i
\(897\) 3.93961i 0.131540i
\(898\) 8.33592 + 19.1378i 0.278173 + 0.638636i
\(899\) 27.8846 18.6319i 0.930003 0.621408i
\(900\) −31.0067 + 31.4315i −1.03356 + 1.04772i
\(901\) 8.86969 1.76429i 0.295492 0.0587771i
\(902\) −70.7659 45.4541i −2.35625 1.51346i
\(903\) 35.0348 14.5119i 1.16588 0.482925i
\(904\) −8.61803 17.9791i −0.286632 0.597977i
\(905\) −0.716770 1.80499i −0.0238262 0.0600001i
\(906\) −9.21000 + 6.39794i −0.305982 + 0.212557i
\(907\) −23.8357 15.9265i −0.791451 0.528830i 0.0928880 0.995677i \(-0.470390\pi\)
−0.884339 + 0.466846i \(0.845390\pi\)
\(908\) −4.55014 + 28.1662i −0.151002 + 0.934728i
\(909\) 18.1901 + 3.61824i 0.603328 + 0.120009i
\(910\) −0.0761442 22.3850i −0.00252415 0.742057i
\(911\) 2.72946 2.72946i 0.0904309 0.0904309i −0.660444 0.750875i \(-0.729632\pi\)
0.750875 + 0.660444i \(0.229632\pi\)
\(912\) −13.9558 27.8124i −0.462123 0.920961i
\(913\) 10.2961 10.2961i 0.340750 0.340750i
\(914\) −0.766117 42.3373i −0.0253409 1.40039i
\(915\) −75.7706 + 49.0336i −2.50490 + 1.62100i
\(916\) −0.262166 0.161770i −0.00866222 0.00534502i
\(917\) 8.79409 13.1613i 0.290407 0.434624i
\(918\) −8.59216 1.54804i −0.283584 0.0510928i
\(919\) 39.7203 + 16.4527i 1.31025 + 0.542723i 0.924957 0.380071i \(-0.124100\pi\)
0.385293 + 0.922794i \(0.374100\pi\)
\(920\) −0.675567 2.80999i −0.0222728 0.0926427i
\(921\) 41.2044 17.0674i 1.35773 0.562391i
\(922\) −0.263291 1.20891i −0.00867101 0.0398133i
\(923\) 21.3661 4.24999i 0.703274 0.139890i
\(924\) 27.1773 72.9738i 0.894069 2.40066i
\(925\) −1.88693 3.01194i −0.0620418 0.0990320i
\(926\) 4.54768 11.5667i 0.149446 0.380104i
\(927\) 25.6381 0.842065
\(928\) −48.0451 26.1587i −1.57716 0.858701i
\(929\) 10.2358i 0.335826i −0.985802 0.167913i \(-0.946297\pi\)
0.985802 0.167913i \(-0.0537028\pi\)
\(930\) −27.5505 + 11.5217i −0.903415 + 0.377812i
\(931\) 3.17582 + 4.75295i 0.104083 + 0.155772i
\(932\) −20.1895 44.1518i −0.661328 1.44624i
\(933\) 11.8314 2.35340i 0.387341 0.0770469i
\(934\) 2.18039 + 10.0114i 0.0713446 + 0.327582i
\(935\) 21.0330 + 9.07642i 0.687852 + 0.296831i
\(936\) −23.7169 31.6339i −0.775212 1.03399i
\(937\) −16.6701 + 40.2451i −0.544588 + 1.31475i 0.376867 + 0.926267i \(0.377001\pi\)
−0.921455 + 0.388484i \(0.872999\pi\)
\(938\) 3.92863 21.8053i 0.128274 0.711970i
\(939\) 39.6864 + 26.5176i 1.29512 + 0.865368i
\(940\) −9.51743 6.06758i −0.310424 0.197903i
\(941\) 5.69814 28.6465i 0.185754 0.933848i −0.769632 0.638488i \(-0.779560\pi\)
0.955386 0.295360i \(-0.0954397\pi\)
\(942\) 0.897242 + 49.5836i 0.0292337 + 1.61552i
\(943\) −3.00496 + 3.00496i −0.0978549 + 0.0978549i
\(944\) 3.55901 + 12.9238i 0.115836 + 0.420633i
\(945\) −0.283047 + 19.2640i −0.00920753 + 0.626657i
\(946\) −39.1035 + 40.5447i −1.27136 + 1.31822i
\(947\) 7.31501 36.7750i 0.237706 1.19503i −0.658911 0.752221i \(-0.728983\pi\)
0.896617 0.442807i \(-0.146017\pi\)
\(948\) −56.9356 + 41.0986i −1.84918 + 1.33482i
\(949\) 8.15628 12.2067i 0.264764 0.396247i
\(950\) −11.0326 16.9220i −0.357945 0.549022i
\(951\) 21.3151 51.4592i 0.691190 1.66868i
\(952\) −6.76445 + 7.54177i −0.219237 + 0.244430i
\(953\) 48.5188 20.0971i 1.57168 0.651010i 0.584609 0.811315i \(-0.301248\pi\)
0.987068 + 0.160305i \(0.0512478\pi\)
\(954\) −29.6572 19.0493i −0.960186 0.616744i
\(955\) −19.0385 + 27.6063i −0.616071 + 0.893320i
\(956\) 16.4184 0.594396i 0.531010 0.0192241i
\(957\) 93.5592 + 140.021i 3.02434 + 4.52624i
\(958\) −26.7113 + 11.6348i −0.863004 + 0.375902i
\(959\) −10.0713 −0.325218
\(960\) 37.5214 + 31.0643i 1.21100 + 1.00260i
\(961\) 18.9736 0.612051
\(962\) 2.91795 1.27098i 0.0940786 0.0409782i
\(963\) −40.1517 60.0913i −1.29387 1.93641i
\(964\) 2.04006 + 56.3508i 0.0657061 + 1.81494i
\(965\) −41.1677 28.3910i −1.32523 0.913938i
\(966\) −3.31048 2.12638i −0.106513 0.0684151i
\(967\) 20.4833 8.48447i 0.658699 0.272842i −0.0281919 0.999603i \(-0.508975\pi\)
0.686891 + 0.726760i \(0.258975\pi\)
\(968\) 4.58757 + 84.4326i 0.147450 + 2.71377i
\(969\) 4.76918 11.5138i 0.153208 0.369877i
\(970\) −32.1565 6.28269i −1.03248 0.201725i
\(971\) 14.9146 22.3212i 0.478631 0.716322i −0.511059 0.859545i \(-0.670747\pi\)
0.989690 + 0.143224i \(0.0457468\pi\)
\(972\) −22.3045 30.8994i −0.715418 0.991099i
\(973\) −5.65471 + 28.4281i −0.181282 + 0.911364i
\(974\) −2.15806 + 2.23760i −0.0691487 + 0.0716973i
\(975\) −29.5724 31.3635i −0.947076 1.00444i
\(976\) 36.4176 + 46.7860i 1.16570 + 1.49758i
\(977\) −9.43824 + 9.43824i −0.301956 + 0.301956i −0.841779 0.539823i \(-0.818491\pi\)
0.539823 + 0.841779i \(0.318491\pi\)
\(978\) −0.662900 36.6333i −0.0211972 1.17140i
\(979\) 6.72297 33.7987i 0.214867 1.08021i
\(980\) −7.54551 4.81043i −0.241032 0.153664i
\(981\) 5.57372 + 3.72424i 0.177955 + 0.118906i
\(982\) −8.74349 + 48.5295i −0.279016 + 1.54864i
\(983\) −12.7999 + 30.9017i −0.408254 + 0.985611i 0.577344 + 0.816501i \(0.304089\pi\)
−0.985597 + 0.169110i \(0.945911\pi\)
\(984\) 10.1419 70.9062i 0.323311 2.26041i
\(985\) 22.0974 + 9.53576i 0.704082 + 0.303835i
\(986\) −4.66234 21.4073i −0.148479 0.681748i
\(987\) −15.0710 + 2.99781i −0.479716 + 0.0954215i
\(988\) 16.4512 7.52272i 0.523384 0.239330i
\(989\) 1.58123 + 2.36648i 0.0502802 + 0.0752497i
\(990\) −34.4487 82.3728i −1.09485 2.61798i
\(991\) 3.56673i 0.113301i 0.998394 + 0.0566505i \(0.0180421\pi\)
−0.998394 + 0.0566505i \(0.981958\pi\)
\(992\) 9.11400 + 17.3718i 0.289370 + 0.551556i
\(993\) −18.4999 −0.587076
\(994\) −7.96093 + 20.2480i −0.252506 + 0.642228i
\(995\) 22.5714 + 4.83551i 0.715562 + 0.153296i
\(996\) 11.6207 + 4.32786i 0.368217 + 0.137133i
\(997\) 40.2166 7.99957i 1.27367 0.253349i 0.488465 0.872583i \(-0.337557\pi\)
0.785206 + 0.619234i \(0.212557\pi\)
\(998\) 4.17512 + 19.1703i 0.132161 + 0.606824i
\(999\) −2.53075 + 1.04827i −0.0800695 + 0.0331659i
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 320.2.bf.a.269.30 yes 368
5.4 even 2 inner 320.2.bf.a.269.17 yes 368
64.5 even 16 inner 320.2.bf.a.69.17 368
320.69 even 16 inner 320.2.bf.a.69.30 yes 368
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
320.2.bf.a.69.17 368 64.5 even 16 inner
320.2.bf.a.69.30 yes 368 320.69 even 16 inner
320.2.bf.a.269.17 yes 368 5.4 even 2 inner
320.2.bf.a.269.30 yes 368 1.1 even 1 trivial