Properties

Label 403.2.bi.a.40.4
Level $403$
Weight $2$
Character 403.40
Analytic conductor $3.218$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [403,2,Mod(14,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.14");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.bi (of order \(15\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(15\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 40.4
Character \(\chi\) \(=\) 403.40
Dual form 403.2.bi.a.131.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.584417 + 1.79865i) q^{2} +(3.21845 + 0.684102i) q^{3} +(-1.27557 - 0.926754i) q^{4} +(1.13209 + 1.96083i) q^{5} +(-3.11138 + 5.38906i) q^{6} +(-1.46764 + 0.653435i) q^{7} +(-0.647676 + 0.470565i) q^{8} +(7.14976 + 3.18328i) q^{9} +O(q^{10})\) \(q+(-0.584417 + 1.79865i) q^{2} +(3.21845 + 0.684102i) q^{3} +(-1.27557 - 0.926754i) q^{4} +(1.13209 + 1.96083i) q^{5} +(-3.11138 + 5.38906i) q^{6} +(-1.46764 + 0.653435i) q^{7} +(-0.647676 + 0.470565i) q^{8} +(7.14976 + 3.18328i) q^{9} +(-4.18846 + 0.890285i) q^{10} +(0.566511 - 5.38999i) q^{11} +(-3.47135 - 3.85533i) q^{12} +(-0.669131 + 0.743145i) q^{13} +(-0.317588 - 3.02165i) q^{14} +(2.30215 + 7.08530i) q^{15} +(-1.44232 - 4.43899i) q^{16} +(-0.446365 - 4.24688i) q^{17} +(-9.90405 + 10.9996i) q^{18} +(-4.57803 - 5.08442i) q^{19} +(0.373156 - 3.55034i) q^{20} +(-5.17053 + 1.09903i) q^{21} +(9.36363 + 4.16896i) q^{22} +(2.38966 - 1.73619i) q^{23} +(-2.40643 + 1.07141i) q^{24} +(-0.0632418 + 0.109538i) q^{25} +(-0.945607 - 1.63784i) q^{26} +(12.8476 + 9.33433i) q^{27} +(2.47765 + 0.526640i) q^{28} +(-1.22194 + 3.76076i) q^{29} -14.0894 q^{30} +(5.56612 - 0.135453i) q^{31} +7.22596 q^{32} +(5.51058 - 16.9598i) q^{33} +(7.89952 + 1.67909i) q^{34} +(-2.94277 - 2.13805i) q^{35} +(-6.16989 - 10.6866i) q^{36} +(-5.54585 + 9.60570i) q^{37} +(11.8206 - 5.26286i) q^{38} +(-2.66195 + 1.93402i) q^{39} +(-1.65592 - 0.737265i) q^{40} +(-3.42156 + 0.727274i) q^{41} +(1.04497 - 9.94227i) q^{42} +(3.87863 + 4.30766i) q^{43} +(-5.71782 + 6.35028i) q^{44} +(1.85228 + 17.6232i) q^{45} +(1.72624 + 5.31282i) q^{46} +(-1.33650 - 4.11332i) q^{47} +(-1.60529 - 15.2733i) q^{48} +(-2.95693 + 3.28400i) q^{49} +(-0.160061 - 0.177766i) q^{50} +(1.46870 - 13.9737i) q^{51} +(1.54223 - 0.327812i) q^{52} +(-11.3139 - 5.03727i) q^{53} +(-24.2975 + 17.6532i) q^{54} +(11.2102 - 4.99110i) q^{55} +(0.643072 - 1.11383i) q^{56} +(-11.2559 - 19.4958i) q^{57} +(-6.05017 - 4.39570i) q^{58} +(-1.10341 - 0.234536i) q^{59} +(3.62978 - 11.1713i) q^{60} +0.932843 q^{61} +(-3.00930 + 10.0907i) q^{62} -12.5733 q^{63} +(-1.33835 + 4.11901i) q^{64} +(-2.21470 - 0.470748i) q^{65} +(27.2843 + 19.8232i) q^{66} +(4.37993 + 7.58626i) q^{67} +(-3.36645 + 5.83086i) q^{68} +(8.87872 - 3.95306i) q^{69} +(5.56541 - 4.04350i) q^{70} +(-1.88943 - 0.841229i) q^{71} +(-6.12867 + 1.30269i) q^{72} +(-0.135550 + 1.28968i) q^{73} +(-14.0362 - 15.5888i) q^{74} +(-0.278475 + 0.309278i) q^{75} +(1.12758 + 10.7282i) q^{76} +(2.69057 + 8.28073i) q^{77} +(-1.92294 - 5.91819i) q^{78} +(0.576998 + 5.48977i) q^{79} +(7.07129 - 7.85346i) q^{80} +(19.2530 + 21.3827i) q^{81} +(0.691504 - 6.57922i) q^{82} +(-0.288886 + 0.0614045i) q^{83} +(7.61389 + 3.38992i) q^{84} +(7.82210 - 5.68309i) q^{85} +(-10.0147 + 4.45883i) q^{86} +(-6.50551 + 11.2679i) q^{87} +(2.16942 + 3.75755i) q^{88} +(-3.99415 - 2.90192i) q^{89} +(-32.7805 - 6.96772i) q^{90} +(0.496445 - 1.52790i) q^{91} -4.65720 q^{92} +(18.0069 + 3.37184i) q^{93} +8.17950 q^{94} +(4.78696 - 14.7328i) q^{95} +(23.2564 + 4.94329i) q^{96} +(6.25011 + 4.54097i) q^{97} +(-4.17869 - 7.23771i) q^{98} +(21.2083 - 36.7338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 6 q^{2} + 2 q^{3} - 22 q^{4} + 13 q^{5} - 10 q^{6} - 16 q^{7} - 6 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 6 q^{2} + 2 q^{3} - 22 q^{4} + 13 q^{5} - 10 q^{6} - 16 q^{7} - 6 q^{8} + 13 q^{9} + 3 q^{10} + 3 q^{11} - 12 q^{12} - 15 q^{13} - 3 q^{14} - 39 q^{15} - 2 q^{16} + 6 q^{17} - 34 q^{18} - 25 q^{19} - 10 q^{20} + 40 q^{21} + 18 q^{22} + q^{23} + 46 q^{24} - 45 q^{25} - 12 q^{26} + 26 q^{27} - 13 q^{28} + 14 q^{29} - 28 q^{30} - 14 q^{31} - 76 q^{32} + 63 q^{33} + 36 q^{34} + 50 q^{35} - 42 q^{36} + 14 q^{37} + 44 q^{38} - 6 q^{39} + 27 q^{40} - 17 q^{41} - 159 q^{42} - 15 q^{43} + 70 q^{44} + 40 q^{45} - 62 q^{46} + 9 q^{47} + 19 q^{48} - 151 q^{49} - 22 q^{50} - 25 q^{51} - q^{52} - 69 q^{53} + 51 q^{54} + 27 q^{55} + 51 q^{56} - 28 q^{57} + 156 q^{58} - 27 q^{59} + 87 q^{60} - 28 q^{61} - 25 q^{62} - 88 q^{63} + 10 q^{64} + 7 q^{65} + 30 q^{66} + 61 q^{67} + 124 q^{68} + 3 q^{69} - 263 q^{70} + 31 q^{71} + 31 q^{72} - 50 q^{73} - 90 q^{74} + 78 q^{75} + 66 q^{76} - 38 q^{77} + 31 q^{79} - 145 q^{80} + 36 q^{81} + 3 q^{82} + 23 q^{83} - 228 q^{84} - 58 q^{85} - 12 q^{86} + 68 q^{87} + 28 q^{88} + 39 q^{89} - 7 q^{90} - 12 q^{91} - 32 q^{92} - 17 q^{93} + 14 q^{94} + 123 q^{95} + 165 q^{96} - 51 q^{97} + 45 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{15}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.584417 + 1.79865i −0.413245 + 1.27184i 0.500566 + 0.865699i \(0.333125\pi\)
−0.913811 + 0.406140i \(0.866875\pi\)
\(3\) 3.21845 + 0.684102i 1.85817 + 0.394966i 0.994106 0.108414i \(-0.0345772\pi\)
0.864065 + 0.503380i \(0.167911\pi\)
\(4\) −1.27557 0.926754i −0.637784 0.463377i
\(5\) 1.13209 + 1.96083i 0.506285 + 0.876911i 0.999974 + 0.00727219i \(0.00231483\pi\)
−0.493689 + 0.869639i \(0.664352\pi\)
\(6\) −3.11138 + 5.38906i −1.27021 + 2.20007i
\(7\) −1.46764 + 0.653435i −0.554715 + 0.246975i −0.664895 0.746937i \(-0.731524\pi\)
0.110180 + 0.993912i \(0.464857\pi\)
\(8\) −0.647676 + 0.470565i −0.228988 + 0.166370i
\(9\) 7.14976 + 3.18328i 2.38325 + 1.06109i
\(10\) −4.18846 + 0.890285i −1.32451 + 0.281533i
\(11\) 0.566511 5.38999i 0.170809 1.62514i −0.488008 0.872839i \(-0.662276\pi\)
0.658817 0.752303i \(-0.271057\pi\)
\(12\) −3.47135 3.85533i −1.00209 1.11294i
\(13\) −0.669131 + 0.743145i −0.185583 + 0.206111i
\(14\) −0.317588 3.02165i −0.0848789 0.807569i
\(15\) 2.30215 + 7.08530i 0.594413 + 1.82942i
\(16\) −1.44232 4.43899i −0.360579 1.10975i
\(17\) −0.446365 4.24688i −0.108259 1.03002i −0.904917 0.425589i \(-0.860067\pi\)
0.796657 0.604431i \(-0.206600\pi\)
\(18\) −9.90405 + 10.9996i −2.33441 + 2.59262i
\(19\) −4.57803 5.08442i −1.05027 1.16645i −0.985696 0.168533i \(-0.946097\pi\)
−0.0645762 0.997913i \(-0.520570\pi\)
\(20\) 0.373156 3.55034i 0.0834402 0.793880i
\(21\) −5.17053 + 1.09903i −1.12830 + 0.239828i
\(22\) 9.36363 + 4.16896i 1.99633 + 0.888824i
\(23\) 2.38966 1.73619i 0.498279 0.362021i −0.310080 0.950710i \(-0.600356\pi\)
0.808359 + 0.588690i \(0.200356\pi\)
\(24\) −2.40643 + 1.07141i −0.491210 + 0.218701i
\(25\) −0.0632418 + 0.109538i −0.0126484 + 0.0219076i
\(26\) −0.945607 1.63784i −0.185449 0.321207i
\(27\) 12.8476 + 9.33433i 2.47252 + 1.79639i
\(28\) 2.47765 + 0.526640i 0.468231 + 0.0995256i
\(29\) −1.22194 + 3.76076i −0.226909 + 0.698356i 0.771183 + 0.636614i \(0.219665\pi\)
−0.998092 + 0.0617417i \(0.980335\pi\)
\(30\) −14.0894 −2.57236
\(31\) 5.56612 0.135453i 0.999704 0.0243281i
\(32\) 7.22596 1.27738
\(33\) 5.51058 16.9598i 0.959270 2.95233i
\(34\) 7.89952 + 1.67909i 1.35476 + 0.287962i
\(35\) −2.94277 2.13805i −0.497419 0.361396i
\(36\) −6.16989 10.6866i −1.02832 1.78109i
\(37\) −5.54585 + 9.60570i −0.911733 + 1.57917i −0.100117 + 0.994976i \(0.531922\pi\)
−0.811615 + 0.584192i \(0.801411\pi\)
\(38\) 11.8206 5.26286i 1.91755 0.853748i
\(39\) −2.66195 + 1.93402i −0.426253 + 0.309691i
\(40\) −1.65592 0.737265i −0.261825 0.116572i
\(41\) −3.42156 + 0.727274i −0.534357 + 0.113581i −0.467184 0.884160i \(-0.654731\pi\)
−0.0671734 + 0.997741i \(0.521398\pi\)
\(42\) 1.04497 9.94227i 0.161243 1.53413i
\(43\) 3.87863 + 4.30766i 0.591486 + 0.656911i 0.962362 0.271771i \(-0.0876093\pi\)
−0.370876 + 0.928682i \(0.620943\pi\)
\(44\) −5.71782 + 6.35028i −0.861993 + 0.957341i
\(45\) 1.85228 + 17.6232i 0.276121 + 2.62712i
\(46\) 1.72624 + 5.31282i 0.254520 + 0.783333i
\(47\) −1.33650 4.11332i −0.194948 0.599989i −0.999977 0.00675359i \(-0.997850\pi\)
0.805029 0.593236i \(-0.202150\pi\)
\(48\) −1.60529 15.2733i −0.231704 2.20452i
\(49\) −2.95693 + 3.28400i −0.422418 + 0.469143i
\(50\) −0.160061 0.177766i −0.0226360 0.0251399i
\(51\) 1.46870 13.9737i 0.205659 1.95671i
\(52\) 1.54223 0.327812i 0.213869 0.0454593i
\(53\) −11.3139 5.03727i −1.55408 0.691923i −0.563160 0.826348i \(-0.690415\pi\)
−0.990924 + 0.134425i \(0.957081\pi\)
\(54\) −24.2975 + 17.6532i −3.30648 + 2.40230i
\(55\) 11.2102 4.99110i 1.51158 0.673000i
\(56\) 0.643072 1.11383i 0.0859341 0.148842i
\(57\) −11.2559 19.4958i −1.49088 2.58228i
\(58\) −6.05017 4.39570i −0.794426 0.577184i
\(59\) −1.10341 0.234536i −0.143651 0.0305340i 0.135525 0.990774i \(-0.456728\pi\)
−0.279176 + 0.960240i \(0.590061\pi\)
\(60\) 3.62978 11.1713i 0.468602 1.44221i
\(61\) 0.932843 0.119438 0.0597192 0.998215i \(-0.480979\pi\)
0.0597192 + 0.998215i \(0.480979\pi\)
\(62\) −3.00930 + 10.0907i −0.382182 + 1.28152i
\(63\) −12.5733 −1.58409
\(64\) −1.33835 + 4.11901i −0.167293 + 0.514876i
\(65\) −2.21470 0.470748i −0.274699 0.0583891i
\(66\) 27.2843 + 19.8232i 3.35847 + 2.44007i
\(67\) 4.37993 + 7.58626i 0.535094 + 0.926810i 0.999159 + 0.0410085i \(0.0130571\pi\)
−0.464065 + 0.885801i \(0.653610\pi\)
\(68\) −3.36645 + 5.83086i −0.408242 + 0.707095i
\(69\) 8.87872 3.95306i 1.06887 0.475893i
\(70\) 5.56541 4.04350i 0.665193 0.483291i
\(71\) −1.88943 0.841229i −0.224234 0.0998355i 0.291545 0.956557i \(-0.405831\pi\)
−0.515779 + 0.856722i \(0.672497\pi\)
\(72\) −6.12867 + 1.30269i −0.722271 + 0.153523i
\(73\) −0.135550 + 1.28968i −0.0158650 + 0.150945i −0.999587 0.0287544i \(-0.990846\pi\)
0.983722 + 0.179700i \(0.0575126\pi\)
\(74\) −14.0362 15.5888i −1.63168 1.81216i
\(75\) −0.278475 + 0.309278i −0.0321556 + 0.0357124i
\(76\) 1.12758 + 10.7282i 0.129343 + 1.23061i
\(77\) 2.69057 + 8.28073i 0.306619 + 0.943677i
\(78\) −1.92294 5.91819i −0.217730 0.670103i
\(79\) 0.576998 + 5.48977i 0.0649173 + 0.617647i 0.977817 + 0.209462i \(0.0671714\pi\)
−0.912899 + 0.408185i \(0.866162\pi\)
\(80\) 7.07129 7.85346i 0.790594 0.878044i
\(81\) 19.2530 + 21.3827i 2.13923 + 2.37585i
\(82\) 0.691504 6.57922i 0.0763638 0.726553i
\(83\) −0.288886 + 0.0614045i −0.0317093 + 0.00674002i −0.223739 0.974649i \(-0.571826\pi\)
0.192030 + 0.981389i \(0.438493\pi\)
\(84\) 7.61389 + 3.38992i 0.830744 + 0.369871i
\(85\) 7.82210 5.68309i 0.848426 0.616417i
\(86\) −10.0147 + 4.45883i −1.07991 + 0.480809i
\(87\) −6.50551 + 11.2679i −0.697464 + 1.20804i
\(88\) 2.16942 + 3.75755i 0.231261 + 0.400556i
\(89\) −3.99415 2.90192i −0.423379 0.307603i 0.355617 0.934632i \(-0.384271\pi\)
−0.778996 + 0.627029i \(0.784271\pi\)
\(90\) −32.7805 6.96772i −3.45537 0.734462i
\(91\) 0.496445 1.52790i 0.0520416 0.160168i
\(92\) −4.65720 −0.485546
\(93\) 18.0069 + 3.37184i 1.86723 + 0.349644i
\(94\) 8.17950 0.843651
\(95\) 4.78696 14.7328i 0.491132 1.51155i
\(96\) 23.2564 + 4.94329i 2.37359 + 0.504523i
\(97\) 6.25011 + 4.54097i 0.634603 + 0.461066i 0.857992 0.513664i \(-0.171712\pi\)
−0.223389 + 0.974729i \(0.571712\pi\)
\(98\) −4.17869 7.23771i −0.422112 0.731119i
\(99\) 21.2083 36.7338i 2.13151 3.69188i
\(100\) 0.182184 0.0811135i 0.0182184 0.00811135i
\(101\) −1.64552 + 1.19554i −0.163735 + 0.118960i −0.666636 0.745384i \(-0.732266\pi\)
0.502900 + 0.864344i \(0.332266\pi\)
\(102\) 24.2755 + 10.8082i 2.40363 + 1.07017i
\(103\) 8.59558 1.82705i 0.846948 0.180024i 0.236057 0.971739i \(-0.424145\pi\)
0.610891 + 0.791715i \(0.290811\pi\)
\(104\) 0.0836826 0.796187i 0.00820575 0.0780725i
\(105\) −8.00850 8.89434i −0.781550 0.867999i
\(106\) 15.6723 17.4059i 1.52223 1.69061i
\(107\) 1.10764 + 10.5384i 0.107079 + 1.01879i 0.907700 + 0.419619i \(0.137836\pi\)
−0.800621 + 0.599171i \(0.795497\pi\)
\(108\) −7.73736 23.8131i −0.744527 2.29142i
\(109\) 0.277522 + 0.854126i 0.0265818 + 0.0818104i 0.963467 0.267826i \(-0.0863052\pi\)
−0.936886 + 0.349636i \(0.886305\pi\)
\(110\) 2.42582 + 23.0801i 0.231293 + 2.20060i
\(111\) −24.4203 + 27.1215i −2.31787 + 2.57426i
\(112\) 5.01739 + 5.57237i 0.474098 + 0.526540i
\(113\) 1.68408 16.0230i 0.158425 1.50732i −0.569689 0.821861i \(-0.692936\pi\)
0.728114 0.685456i \(-0.240397\pi\)
\(114\) 41.6442 8.85175i 3.90034 0.829042i
\(115\) 6.10968 + 2.72021i 0.569731 + 0.253660i
\(116\) 5.04397 3.66466i 0.468321 0.340255i
\(117\) −7.14976 + 3.18328i −0.660996 + 0.294294i
\(118\) 1.06670 1.84758i 0.0981976 0.170083i
\(119\) 3.43016 + 5.94121i 0.314442 + 0.544630i
\(120\) −4.82514 3.50567i −0.440473 0.320022i
\(121\) −17.9714 3.81994i −1.63376 0.347267i
\(122\) −0.545170 + 1.67786i −0.0493573 + 0.151906i
\(123\) −11.5096 −1.03779
\(124\) −7.22549 4.98564i −0.648868 0.447724i
\(125\) 11.0345 0.986955
\(126\) 7.34807 22.6150i 0.654618 2.01471i
\(127\) −6.11692 1.30019i −0.542789 0.115373i −0.0716456 0.997430i \(-0.522825\pi\)
−0.471143 + 0.882057i \(0.656158\pi\)
\(128\) 5.06535 + 3.68019i 0.447718 + 0.325286i
\(129\) 9.53629 + 16.5173i 0.839623 + 1.45427i
\(130\) 2.14102 3.70835i 0.187780 0.325244i
\(131\) −10.6932 + 4.76094i −0.934273 + 0.415965i −0.816676 0.577096i \(-0.804186\pi\)
−0.117597 + 0.993061i \(0.537519\pi\)
\(132\) −22.7467 + 16.5265i −1.97985 + 1.43844i
\(133\) 10.0412 + 4.47064i 0.870685 + 0.387654i
\(134\) −16.2047 + 3.44443i −1.39988 + 0.297553i
\(135\) −3.75845 + 35.7592i −0.323476 + 3.07767i
\(136\) 2.28753 + 2.54056i 0.196154 + 0.217851i
\(137\) −2.46077 + 2.73296i −0.210238 + 0.233493i −0.839036 0.544076i \(-0.816880\pi\)
0.628798 + 0.777568i \(0.283547\pi\)
\(138\) 1.92130 + 18.2800i 0.163552 + 1.55609i
\(139\) −3.68780 11.3499i −0.312795 0.962684i −0.976653 0.214825i \(-0.931082\pi\)
0.663858 0.747859i \(-0.268918\pi\)
\(140\) 1.77226 + 5.45445i 0.149783 + 0.460985i
\(141\) −1.48752 14.1528i −0.125272 1.19188i
\(142\) 2.61729 2.90680i 0.219638 0.243933i
\(143\) 3.62647 + 4.02761i 0.303261 + 0.336805i
\(144\) 3.81833 36.3290i 0.318194 3.02742i
\(145\) −8.75757 + 1.86148i −0.727276 + 0.154587i
\(146\) −2.24046 0.997517i −0.185422 0.0825551i
\(147\) −11.7633 + 8.54654i −0.970221 + 0.704907i
\(148\) 15.9762 7.11308i 1.31324 0.584692i
\(149\) 7.23968 12.5395i 0.593097 1.02727i −0.400715 0.916203i \(-0.631238\pi\)
0.993812 0.111072i \(-0.0354285\pi\)
\(150\) −0.393538 0.681627i −0.0321322 0.0556546i
\(151\) −8.63783 6.27575i −0.702937 0.510713i 0.177951 0.984039i \(-0.443053\pi\)
−0.880887 + 0.473326i \(0.843053\pi\)
\(152\) 5.35763 + 1.13880i 0.434561 + 0.0923688i
\(153\) 10.3276 31.7851i 0.834937 2.56967i
\(154\) −16.4666 −1.32691
\(155\) 6.56693 + 10.7609i 0.527468 + 0.864334i
\(156\) 5.18785 0.415361
\(157\) −2.49330 + 7.67360i −0.198987 + 0.612420i 0.800920 + 0.598772i \(0.204344\pi\)
−0.999907 + 0.0136481i \(0.995656\pi\)
\(158\) −10.2114 2.17050i −0.812374 0.172675i
\(159\) −32.9672 23.9521i −2.61447 1.89952i
\(160\) 8.18042 + 14.1689i 0.646719 + 1.12015i
\(161\) −2.37267 + 4.10959i −0.186993 + 0.323881i
\(162\) −49.7118 + 22.1331i −3.90572 + 1.73894i
\(163\) 2.44718 1.77798i 0.191678 0.139262i −0.487807 0.872951i \(-0.662203\pi\)
0.679485 + 0.733689i \(0.262203\pi\)
\(164\) 5.03843 + 2.24325i 0.393435 + 0.175169i
\(165\) 39.4938 8.39468i 3.07459 0.653525i
\(166\) 0.0583844 0.555490i 0.00453151 0.0431144i
\(167\) 7.23145 + 8.03134i 0.559586 + 0.621484i 0.954852 0.297084i \(-0.0960140\pi\)
−0.395265 + 0.918567i \(0.629347\pi\)
\(168\) 2.83167 3.14488i 0.218468 0.242633i
\(169\) −0.104528 0.994522i −0.00804065 0.0765017i
\(170\) 5.65052 + 17.3905i 0.433375 + 1.33379i
\(171\) −16.5467 50.9255i −1.26536 3.89437i
\(172\) −0.955318 9.08924i −0.0728423 0.693048i
\(173\) 11.0881 12.3145i 0.843009 0.936257i −0.155661 0.987811i \(-0.549751\pi\)
0.998670 + 0.0515538i \(0.0164174\pi\)
\(174\) −16.4650 18.2863i −1.24821 1.38628i
\(175\) 0.0212401 0.202086i 0.00160560 0.0152763i
\(176\) −24.7432 + 5.25933i −1.86509 + 0.396437i
\(177\) −3.39081 1.50969i −0.254869 0.113475i
\(178\) 7.55379 5.48815i 0.566181 0.411354i
\(179\) 0.127087 0.0565827i 0.00949891 0.00422919i −0.401982 0.915648i \(-0.631678\pi\)
0.411481 + 0.911419i \(0.365012\pi\)
\(180\) 13.9697 24.1962i 1.04124 1.80348i
\(181\) 4.92296 + 8.52682i 0.365921 + 0.633793i 0.988923 0.148426i \(-0.0474208\pi\)
−0.623003 + 0.782220i \(0.714087\pi\)
\(182\) 2.45803 + 1.78586i 0.182201 + 0.132377i
\(183\) 3.00231 + 0.638160i 0.221937 + 0.0471741i
\(184\) −0.730738 + 2.24898i −0.0538707 + 0.165797i
\(185\) −25.1136 −1.84639
\(186\) −16.5883 + 30.4176i −1.21631 + 2.23033i
\(187\) −23.1435 −1.69242
\(188\) −2.10724 + 6.48542i −0.153686 + 0.472998i
\(189\) −24.9550 5.30435i −1.81521 0.385835i
\(190\) 23.7015 + 17.2201i 1.71949 + 1.24928i
\(191\) −4.54938 7.87976i −0.329182 0.570160i 0.653168 0.757213i \(-0.273440\pi\)
−0.982350 + 0.187054i \(0.940106\pi\)
\(192\) −7.12521 + 12.3412i −0.514218 + 0.890652i
\(193\) 6.52709 2.90605i 0.469830 0.209182i −0.158144 0.987416i \(-0.550551\pi\)
0.627974 + 0.778234i \(0.283884\pi\)
\(194\) −11.8203 + 8.58795i −0.848648 + 0.616579i
\(195\) −6.80584 3.03016i −0.487376 0.216994i
\(196\) 6.81523 1.44862i 0.486802 0.103473i
\(197\) −0.812589 + 7.73126i −0.0578945 + 0.550830i 0.926678 + 0.375855i \(0.122651\pi\)
−0.984573 + 0.174975i \(0.944016\pi\)
\(198\) 53.6768 + 59.6141i 3.81464 + 4.23659i
\(199\) 7.39269 8.21042i 0.524054 0.582021i −0.421769 0.906703i \(-0.638591\pi\)
0.945823 + 0.324682i \(0.105257\pi\)
\(200\) −0.0105845 0.100704i −0.000748435 0.00712088i
\(201\) 8.90680 + 27.4123i 0.628237 + 1.93351i
\(202\) −1.18869 3.65840i −0.0836357 0.257404i
\(203\) −0.664038 6.31790i −0.0466063 0.443429i
\(204\) −14.8236 + 16.4633i −1.03786 + 1.15266i
\(205\) −5.29956 5.88576i −0.370137 0.411079i
\(206\) −1.73718 + 16.5282i −0.121035 + 1.15157i
\(207\) 22.6123 4.80639i 1.57166 0.334067i
\(208\) 4.26391 + 1.89841i 0.295649 + 0.131631i
\(209\) −29.9985 + 21.7952i −2.07504 + 1.50760i
\(210\) 20.6781 9.20650i 1.42693 0.635309i
\(211\) −9.03631 + 15.6514i −0.622085 + 1.07748i 0.367011 + 0.930216i \(0.380381\pi\)
−0.989097 + 0.147267i \(0.952952\pi\)
\(212\) 9.76333 + 16.9106i 0.670549 + 1.16142i
\(213\) −5.50554 4.00001i −0.377234 0.274076i
\(214\) −19.6023 4.16660i −1.33999 0.284823i
\(215\) −4.05564 + 12.4820i −0.276593 + 0.851264i
\(216\) −12.7135 −0.865043
\(217\) −8.08054 + 3.83589i −0.548542 + 0.260397i
\(218\) −1.69846 −0.115034
\(219\) −1.31853 + 4.05802i −0.0890981 + 0.274216i
\(220\) −18.9249 4.02261i −1.27592 0.271204i
\(221\) 3.45472 + 2.51000i 0.232390 + 0.168841i
\(222\) −34.5105 59.7739i −2.31619 4.01176i
\(223\) −9.49936 + 16.4534i −0.636124 + 1.10180i 0.350152 + 0.936693i \(0.386130\pi\)
−0.986276 + 0.165106i \(0.947203\pi\)
\(224\) −10.6051 + 4.72169i −0.708583 + 0.315481i
\(225\) −0.800854 + 0.581854i −0.0533902 + 0.0387903i
\(226\) 27.8356 + 12.3932i 1.85159 + 0.824383i
\(227\) 20.6858 4.39690i 1.37296 0.291833i 0.538375 0.842705i \(-0.319038\pi\)
0.834589 + 0.550873i \(0.185705\pi\)
\(228\) −3.71014 + 35.2996i −0.245710 + 2.33777i
\(229\) −8.63068 9.58534i −0.570332 0.633417i 0.387114 0.922032i \(-0.373472\pi\)
−0.957445 + 0.288615i \(0.906805\pi\)
\(230\) −8.46330 + 9.39945i −0.558054 + 0.619781i
\(231\) 2.99460 + 28.4917i 0.197030 + 1.87462i
\(232\) −0.978255 3.01076i −0.0642256 0.197666i
\(233\) 2.00654 + 6.17550i 0.131453 + 0.404571i 0.995021 0.0996609i \(-0.0317758\pi\)
−0.863568 + 0.504232i \(0.831776\pi\)
\(234\) −1.54716 14.7203i −0.101141 0.962296i
\(235\) 6.55250 7.27728i 0.427438 0.474718i
\(236\) 1.19011 + 1.32175i 0.0774697 + 0.0860389i
\(237\) −1.89852 + 18.0632i −0.123322 + 1.17333i
\(238\) −12.6908 + 2.69752i −0.822623 + 0.174854i
\(239\) 4.68732 + 2.08693i 0.303198 + 0.134992i 0.552696 0.833383i \(-0.313599\pi\)
−0.249498 + 0.968375i \(0.580266\pi\)
\(240\) 28.1311 20.4385i 1.81586 1.31930i
\(241\) 14.0470 6.25414i 0.904849 0.402865i 0.0990695 0.995081i \(-0.468413\pi\)
0.805779 + 0.592216i \(0.201747\pi\)
\(242\) 17.3735 30.0919i 1.11681 1.93438i
\(243\) 23.5162 + 40.7312i 1.50856 + 2.61291i
\(244\) −1.18990 0.864517i −0.0761759 0.0553450i
\(245\) −9.78688 2.08027i −0.625261 0.132903i
\(246\) 6.72642 20.7018i 0.428861 1.31990i
\(247\) 6.84176 0.435331
\(248\) −3.54130 + 2.70695i −0.224873 + 0.171891i
\(249\) −0.971769 −0.0615834
\(250\) −6.44874 + 19.8472i −0.407854 + 1.25525i
\(251\) −25.5460 5.42998i −1.61245 0.342737i −0.688497 0.725239i \(-0.741729\pi\)
−0.923955 + 0.382502i \(0.875063\pi\)
\(252\) 16.0381 + 11.6524i 1.01031 + 0.734031i
\(253\) −8.00428 13.8638i −0.503224 0.871610i
\(254\) 5.91342 10.2423i 0.371041 0.642662i
\(255\) 29.0628 12.9396i 1.81998 0.810309i
\(256\) −16.5873 + 12.0514i −1.03671 + 0.753213i
\(257\) −9.41667 4.19257i −0.587396 0.261526i 0.0914459 0.995810i \(-0.470851\pi\)
−0.678842 + 0.734285i \(0.737518\pi\)
\(258\) −35.2821 + 7.49944i −2.19657 + 0.466895i
\(259\) 1.86261 17.7215i 0.115737 1.10116i
\(260\) 2.38873 + 2.65295i 0.148143 + 0.164529i
\(261\) −20.7082 + 22.9987i −1.28180 + 1.42359i
\(262\) −2.31395 22.0158i −0.142956 1.36014i
\(263\) −0.470098 1.44681i −0.0289875 0.0892143i 0.935516 0.353284i \(-0.114935\pi\)
−0.964504 + 0.264070i \(0.914935\pi\)
\(264\) 4.41162 + 13.5776i 0.271516 + 0.835642i
\(265\) −2.93107 27.8873i −0.180054 1.71310i
\(266\) −13.9094 + 15.4479i −0.852839 + 0.947174i
\(267\) −10.8698 12.0721i −0.665218 0.738800i
\(268\) 1.44370 13.7359i 0.0881882 0.839055i
\(269\) −8.26305 + 1.75637i −0.503807 + 0.107088i −0.452802 0.891611i \(-0.649576\pi\)
−0.0510047 + 0.998698i \(0.516242\pi\)
\(270\) −62.1219 27.6585i −3.78062 1.68324i
\(271\) 10.3615 7.52809i 0.629418 0.457299i −0.226781 0.973946i \(-0.572820\pi\)
0.856199 + 0.516647i \(0.172820\pi\)
\(272\) −18.2081 + 8.10675i −1.10403 + 0.491544i
\(273\) 2.64302 4.57785i 0.159963 0.277064i
\(274\) −3.47753 6.02325i −0.210085 0.363878i
\(275\) 0.554581 + 0.402927i 0.0334425 + 0.0242974i
\(276\) −14.9889 3.18600i −0.902228 0.191774i
\(277\) −3.22220 + 9.91690i −0.193603 + 0.595849i 0.806387 + 0.591388i \(0.201420\pi\)
−0.999990 + 0.00446060i \(0.998580\pi\)
\(278\) 22.5697 1.35364
\(279\) 40.2276 + 16.7500i 2.40836 + 1.00280i
\(280\) 2.91205 0.174028
\(281\) 10.1981 31.3866i 0.608368 1.87237i 0.136642 0.990620i \(-0.456369\pi\)
0.471726 0.881745i \(-0.343631\pi\)
\(282\) 26.3253 + 5.59561i 1.56765 + 0.333214i
\(283\) −7.16009 5.20211i −0.425623 0.309233i 0.354273 0.935142i \(-0.384728\pi\)
−0.779896 + 0.625909i \(0.784728\pi\)
\(284\) 1.63048 + 2.82408i 0.0967515 + 0.167578i
\(285\) 25.4853 44.1418i 1.50962 2.61473i
\(286\) −9.36363 + 4.16896i −0.553683 + 0.246516i
\(287\) 4.54638 3.30314i 0.268364 0.194978i
\(288\) 51.6639 + 23.0023i 3.04433 + 1.35542i
\(289\) −1.20825 + 0.256822i −0.0710736 + 0.0151072i
\(290\) 1.76992 16.8397i 0.103933 0.988860i
\(291\) 17.0092 + 18.8906i 0.997094 + 1.10739i
\(292\) 1.36812 1.51945i 0.0800630 0.0889190i
\(293\) −1.25418 11.9327i −0.0732701 0.697118i −0.968075 0.250661i \(-0.919352\pi\)
0.894805 0.446458i \(-0.147315\pi\)
\(294\) −8.49757 26.1528i −0.495588 1.52526i
\(295\) −0.789266 2.42911i −0.0459528 0.141428i
\(296\) −0.928183 8.83107i −0.0539495 0.513295i
\(297\) 57.5902 63.9604i 3.34172 3.71136i
\(298\) 18.3232 + 20.3499i 1.06143 + 1.17884i
\(299\) −0.308754 + 2.93760i −0.0178557 + 0.169886i
\(300\) 0.641839 0.136427i 0.0370566 0.00787662i
\(301\) −8.50720 3.78765i −0.490347 0.218316i
\(302\) 16.3360 11.8688i 0.940030 0.682972i
\(303\) −6.11388 + 2.72207i −0.351233 + 0.156379i
\(304\) −15.9667 + 27.6552i −0.915754 + 1.58613i
\(305\) 1.05606 + 1.82915i 0.0604698 + 0.104737i
\(306\) 51.1347 + 37.1515i 2.92317 + 2.12381i
\(307\) 18.4608 + 3.92396i 1.05361 + 0.223952i 0.701988 0.712188i \(-0.252296\pi\)
0.351625 + 0.936141i \(0.385629\pi\)
\(308\) 4.24219 13.0561i 0.241721 0.743942i
\(309\) 28.9143 1.64488
\(310\) −23.1929 + 5.52277i −1.31727 + 0.313672i
\(311\) 18.9886 1.07674 0.538371 0.842708i \(-0.319040\pi\)
0.538371 + 0.842708i \(0.319040\pi\)
\(312\) 0.814001 2.50524i 0.0460837 0.141831i
\(313\) −10.2286 2.17415i −0.578153 0.122890i −0.0904517 0.995901i \(-0.528831\pi\)
−0.487701 + 0.873011i \(0.662164\pi\)
\(314\) −12.3450 8.96917i −0.696669 0.506159i
\(315\) −14.2341 24.6542i −0.802001 1.38911i
\(316\) 4.35167 7.53731i 0.244800 0.424007i
\(317\) −2.15929 + 0.961379i −0.121278 + 0.0539964i −0.466479 0.884532i \(-0.654478\pi\)
0.345201 + 0.938529i \(0.387811\pi\)
\(318\) 62.3480 45.2984i 3.49630 2.54021i
\(319\) 19.5782 + 8.71678i 1.09617 + 0.488046i
\(320\) −9.59180 + 2.03880i −0.536198 + 0.113972i
\(321\) −3.64451 + 34.6752i −0.203417 + 1.93538i
\(322\) −6.00508 6.66932i −0.334650 0.371667i
\(323\) −19.5494 + 21.7119i −1.08776 + 1.20808i
\(324\) −4.74208 45.1179i −0.263449 2.50655i
\(325\) −0.0390856 0.120293i −0.00216808 0.00667265i
\(326\) 1.76779 + 5.44070i 0.0979089 + 0.301333i
\(327\) 0.308881 + 2.93881i 0.0170812 + 0.162517i
\(328\) 1.87383 2.08110i 0.103465 0.114910i
\(329\) 4.64928 + 5.16355i 0.256323 + 0.284676i
\(330\) −7.98179 + 75.9416i −0.439383 + 4.18045i
\(331\) −14.5852 + 3.10019i −0.801678 + 0.170402i −0.590491 0.807044i \(-0.701066\pi\)
−0.211186 + 0.977446i \(0.567733\pi\)
\(332\) 0.425400 + 0.189400i 0.0233469 + 0.0103947i
\(333\) −70.2292 + 51.0245i −3.84854 + 2.79612i
\(334\) −18.6718 + 8.31320i −1.02167 + 0.454878i
\(335\) −9.91693 + 17.1766i −0.541820 + 0.938459i
\(336\) 12.3361 + 21.3668i 0.672990 + 1.16565i
\(337\) −2.12476 1.54373i −0.115743 0.0840922i 0.528408 0.848991i \(-0.322789\pi\)
−0.644151 + 0.764898i \(0.722789\pi\)
\(338\) 1.84989 + 0.393205i 0.100621 + 0.0213876i
\(339\) 16.3815 50.4171i 0.889721 2.73828i
\(340\) −15.2444 −0.826746
\(341\) 2.42317 30.0780i 0.131222 1.62882i
\(342\) 101.267 5.47592
\(343\) 5.66894 17.4472i 0.306094 0.942060i
\(344\) −4.53913 0.964821i −0.244733 0.0520197i
\(345\) 17.8028 + 12.9345i 0.958470 + 0.696369i
\(346\) 15.6695 + 27.1404i 0.842398 + 1.45908i
\(347\) −8.03884 + 13.9237i −0.431548 + 0.747462i −0.997007 0.0773140i \(-0.975366\pi\)
0.565459 + 0.824776i \(0.308699\pi\)
\(348\) 18.7408 8.34392i 1.00461 0.447281i
\(349\) −29.8898 + 21.7162i −1.59997 + 1.16244i −0.712387 + 0.701787i \(0.752386\pi\)
−0.887579 + 0.460656i \(0.847614\pi\)
\(350\) 0.351070 + 0.156306i 0.0187655 + 0.00835493i
\(351\) −15.5335 + 3.30174i −0.829116 + 0.176234i
\(352\) 4.09358 38.9479i 0.218189 2.07593i
\(353\) −14.8921 16.5394i −0.792629 0.880304i 0.202460 0.979291i \(-0.435106\pi\)
−0.995089 + 0.0989870i \(0.968440\pi\)
\(354\) 4.69704 5.21659i 0.249645 0.277259i
\(355\) −0.489492 4.65720i −0.0259795 0.247179i
\(356\) 2.40544 + 7.40320i 0.127488 + 0.392369i
\(357\) 6.97540 + 21.4681i 0.369177 + 1.13621i
\(358\) 0.0275008 + 0.261653i 0.00145346 + 0.0138288i
\(359\) −13.0825 + 14.5296i −0.690468 + 0.766842i −0.981828 0.189771i \(-0.939225\pi\)
0.291361 + 0.956613i \(0.405892\pi\)
\(360\) −9.49254 10.5425i −0.500301 0.555641i
\(361\) −2.90690 + 27.6573i −0.152995 + 1.45565i
\(362\) −18.2138 + 3.87147i −0.957298 + 0.203480i
\(363\) −55.2268 24.5885i −2.89865 1.29056i
\(364\) −2.04924 + 1.48886i −0.107409 + 0.0780374i
\(365\) −2.68229 + 1.19423i −0.140398 + 0.0625091i
\(366\) −2.90243 + 5.02715i −0.151712 + 0.262773i
\(367\) 12.3695 + 21.4245i 0.645681 + 1.11835i 0.984144 + 0.177373i \(0.0567598\pi\)
−0.338463 + 0.940980i \(0.609907\pi\)
\(368\) −11.1536 8.10355i −0.581420 0.422427i
\(369\) −26.7784 5.69193i −1.39403 0.296310i
\(370\) 14.6768 45.1705i 0.763010 2.34830i
\(371\) 19.8962 1.03296
\(372\) −19.8442 20.9890i −1.02887 1.08823i
\(373\) 4.56913 0.236581 0.118290 0.992979i \(-0.462259\pi\)
0.118290 + 0.992979i \(0.462259\pi\)
\(374\) 13.5255 41.6271i 0.699385 2.15249i
\(375\) 35.5139 + 7.54871i 1.83393 + 0.389814i
\(376\) 2.80120 + 2.03519i 0.144461 + 0.104957i
\(377\) −1.97715 3.42452i −0.101828 0.176372i
\(378\) 24.1248 41.7854i 1.24085 2.14921i
\(379\) 32.1425 14.3108i 1.65105 0.735095i 0.651331 0.758794i \(-0.274211\pi\)
0.999719 + 0.0236989i \(0.00754429\pi\)
\(380\) −19.7597 + 14.3563i −1.01365 + 0.736462i
\(381\) −18.7975 8.36919i −0.963025 0.428766i
\(382\) 16.8317 3.57768i 0.861183 0.183050i
\(383\) 1.83356 17.4452i 0.0936907 0.891408i −0.842211 0.539147i \(-0.818747\pi\)
0.935902 0.352260i \(-0.114587\pi\)
\(384\) 13.7849 + 15.3097i 0.703460 + 0.781271i
\(385\) −13.1912 + 14.6503i −0.672284 + 0.746647i
\(386\) 1.41242 + 13.4383i 0.0718904 + 0.683991i
\(387\) 14.0188 + 43.1455i 0.712616 + 2.19321i
\(388\) −3.76408 11.5846i −0.191092 0.588121i
\(389\) 1.03938 + 9.88901i 0.0526985 + 0.501393i 0.988755 + 0.149543i \(0.0477804\pi\)
−0.936057 + 0.351849i \(0.885553\pi\)
\(390\) 9.42764 10.4705i 0.477387 0.530192i
\(391\) −8.44005 9.37363i −0.426832 0.474045i
\(392\) 0.369798 3.51840i 0.0186776 0.177706i
\(393\) −37.6726 + 8.00756i −1.90033 + 0.403928i
\(394\) −13.4310 5.97985i −0.676642 0.301260i
\(395\) −10.1113 + 7.34629i −0.508755 + 0.369632i
\(396\) −61.0958 + 27.2016i −3.07018 + 1.36693i
\(397\) −1.68375 + 2.91634i −0.0845049 + 0.146367i −0.905180 0.425028i \(-0.860264\pi\)
0.820675 + 0.571395i \(0.193598\pi\)
\(398\) 10.4473 + 18.0952i 0.523674 + 0.907029i
\(399\) 29.2588 + 21.2577i 1.46477 + 1.06422i
\(400\) 0.577452 + 0.122741i 0.0288726 + 0.00613707i
\(401\) 8.94333 27.5247i 0.446609 1.37452i −0.434101 0.900864i \(-0.642934\pi\)
0.880710 0.473656i \(-0.157066\pi\)
\(402\) −54.5104 −2.71873
\(403\) −3.62380 + 4.22707i −0.180514 + 0.210565i
\(404\) 3.20694 0.159551
\(405\) −20.1317 + 61.9590i −1.00035 + 3.07877i
\(406\) 11.7518 + 2.49791i 0.583230 + 0.123969i
\(407\) 48.6328 + 35.3338i 2.41064 + 1.75143i
\(408\) 5.62430 + 9.74156i 0.278444 + 0.482279i
\(409\) −18.0789 + 31.3136i −0.893945 + 1.54836i −0.0588408 + 0.998267i \(0.518740\pi\)
−0.835104 + 0.550091i \(0.814593\pi\)
\(410\) 13.6836 6.09232i 0.675784 0.300878i
\(411\) −9.78948 + 7.11247i −0.482879 + 0.350832i
\(412\) −12.6575 5.63547i −0.623589 0.277640i
\(413\) 1.77266 0.376790i 0.0872267 0.0185406i
\(414\) −4.56999 + 43.4805i −0.224603 + 2.13695i
\(415\) −0.447447 0.496941i −0.0219643 0.0243939i
\(416\) −4.83511 + 5.36994i −0.237061 + 0.263283i
\(417\) −4.10451 39.0518i −0.200999 1.91237i
\(418\) −21.6703 66.6942i −1.05993 3.26212i
\(419\) 1.89686 + 5.83793i 0.0926676 + 0.285201i 0.986639 0.162923i \(-0.0520922\pi\)
−0.893971 + 0.448124i \(0.852092\pi\)
\(420\) 1.97252 + 18.7673i 0.0962490 + 0.915748i
\(421\) −13.1349 + 14.5878i −0.640157 + 0.710967i −0.972686 0.232127i \(-0.925432\pi\)
0.332528 + 0.943093i \(0.392098\pi\)
\(422\) −22.8703 25.4001i −1.11331 1.23646i
\(423\) 3.53820 33.6637i 0.172033 1.63679i
\(424\) 9.69811 2.06140i 0.470982 0.100110i
\(425\) 0.493424 + 0.219686i 0.0239346 + 0.0106564i
\(426\) 10.4122 7.56488i 0.504471 0.366520i
\(427\) −1.36908 + 0.609552i −0.0662543 + 0.0294983i
\(428\) 8.35369 14.4690i 0.403791 0.699386i
\(429\) 8.91631 + 15.4435i 0.430484 + 0.745619i
\(430\) −20.0805 14.5894i −0.968370 0.703562i
\(431\) 16.9153 + 3.59547i 0.814783 + 0.173187i 0.596412 0.802678i \(-0.296592\pi\)
0.218371 + 0.975866i \(0.429926\pi\)
\(432\) 22.9047 70.4934i 1.10200 3.39161i
\(433\) 14.2021 0.682510 0.341255 0.939971i \(-0.389148\pi\)
0.341255 + 0.939971i \(0.389148\pi\)
\(434\) −2.17702 16.7758i −0.104500 0.805265i
\(435\) −29.4592 −1.41246
\(436\) 0.437566 1.34669i 0.0209556 0.0644948i
\(437\) −19.7675 4.20170i −0.945606 0.200995i
\(438\) −6.52840 4.74316i −0.311939 0.226637i
\(439\) 1.28827 + 2.23135i 0.0614858 + 0.106496i 0.895130 0.445806i \(-0.147083\pi\)
−0.833644 + 0.552302i \(0.813749\pi\)
\(440\) −4.91195 + 8.50774i −0.234168 + 0.405591i
\(441\) −31.5952 + 14.0671i −1.50454 + 0.669862i
\(442\) −6.53362 + 4.74695i −0.310773 + 0.225790i
\(443\) −2.45831 1.09451i −0.116798 0.0520017i 0.347506 0.937678i \(-0.387029\pi\)
−0.464304 + 0.885676i \(0.653695\pi\)
\(444\) 56.2847 11.9637i 2.67116 0.567772i
\(445\) 1.16845 11.1171i 0.0553900 0.527001i
\(446\) −24.0423 26.7017i −1.13843 1.26436i
\(447\) 31.8788 35.4050i 1.50782 1.67460i
\(448\) −0.727293 6.91973i −0.0343614 0.326927i
\(449\) 5.94647 + 18.3014i 0.280631 + 0.863694i 0.987674 + 0.156524i \(0.0500287\pi\)
−0.707043 + 0.707171i \(0.749971\pi\)
\(450\) −0.578520 1.78050i −0.0272717 0.0839337i
\(451\) 1.98165 + 18.8542i 0.0933123 + 0.887807i
\(452\) −16.9975 + 18.8777i −0.799497 + 0.887932i
\(453\) −23.5071 26.1073i −1.10446 1.22663i
\(454\) −4.18064 + 39.7762i −0.196207 + 1.86679i
\(455\) 3.55798 0.756271i 0.166800 0.0354545i
\(456\) 16.4642 + 7.33033i 0.771006 + 0.343274i
\(457\) −23.1103 + 16.7906i −1.08105 + 0.785432i −0.977867 0.209230i \(-0.932904\pi\)
−0.103188 + 0.994662i \(0.532904\pi\)
\(458\) 22.2846 9.92175i 1.04129 0.463613i
\(459\) 33.9071 58.7287i 1.58265 2.74122i
\(460\) −5.27235 9.13198i −0.245825 0.425781i
\(461\) 18.6891 + 13.5784i 0.870439 + 0.632411i 0.930705 0.365771i \(-0.119195\pi\)
−0.0602656 + 0.998182i \(0.519195\pi\)
\(462\) −52.9967 11.2648i −2.46563 0.524086i
\(463\) −4.55782 + 14.0275i −0.211820 + 0.651914i 0.787544 + 0.616258i \(0.211352\pi\)
−0.999364 + 0.0356561i \(0.988648\pi\)
\(464\) 18.4564 0.856817
\(465\) 13.7738 + 39.1257i 0.638743 + 1.81441i
\(466\) −12.2802 −0.568871
\(467\) −5.92134 + 18.2240i −0.274007 + 0.843307i 0.715473 + 0.698640i \(0.246211\pi\)
−0.989480 + 0.144667i \(0.953789\pi\)
\(468\) 12.0701 + 2.56558i 0.557942 + 0.118594i
\(469\) −11.3853 8.27189i −0.525724 0.381960i
\(470\) 9.25990 + 16.0386i 0.427127 + 0.739806i
\(471\) −13.2741 + 22.9914i −0.611638 + 1.05939i
\(472\) 0.825015 0.367320i 0.0379744 0.0169073i
\(473\) 25.4155 18.4654i 1.16861 0.849042i
\(474\) −31.3799 13.9712i −1.44133 0.641721i
\(475\) 0.846459 0.179921i 0.0388382 0.00825532i
\(476\) 1.13064 10.7573i 0.0518229 0.493062i
\(477\) −64.8567 72.0306i −2.96958 3.29806i
\(478\) −6.49301 + 7.21122i −0.296983 + 0.329834i
\(479\) 1.31625 + 12.5233i 0.0601411 + 0.572204i 0.982551 + 0.185992i \(0.0595500\pi\)
−0.922410 + 0.386212i \(0.873783\pi\)
\(480\) 16.6353 + 51.1981i 0.759292 + 2.33686i
\(481\) −3.42753 10.5488i −0.156282 0.480986i
\(482\) 3.03969 + 28.9207i 0.138454 + 1.31730i
\(483\) −10.4477 + 11.6033i −0.475386 + 0.527970i
\(484\) 19.3836 + 21.5277i 0.881073 + 0.978531i
\(485\) −1.82841 + 17.3962i −0.0830240 + 0.789920i
\(486\) −87.0045 + 18.4934i −3.94661 + 0.838877i
\(487\) 11.7820 + 5.24569i 0.533894 + 0.237705i 0.655931 0.754820i \(-0.272276\pi\)
−0.122037 + 0.992526i \(0.538943\pi\)
\(488\) −0.604181 + 0.438963i −0.0273500 + 0.0198709i
\(489\) 9.09244 4.04821i 0.411174 0.183067i
\(490\) 9.46129 16.3874i 0.427418 0.740309i
\(491\) 9.96193 + 17.2546i 0.449576 + 0.778688i 0.998358 0.0572770i \(-0.0182418\pi\)
−0.548783 + 0.835965i \(0.684908\pi\)
\(492\) 14.6813 + 10.6666i 0.661884 + 0.480887i
\(493\) 16.5169 + 3.51078i 0.743885 + 0.158118i
\(494\) −3.99844 + 12.3059i −0.179898 + 0.553670i
\(495\) 96.0384 4.31660
\(496\) −8.62937 24.5126i −0.387470 1.10065i
\(497\) 3.32269 0.149043
\(498\) 0.567919 1.74787i 0.0254490 0.0783241i
\(499\) −31.2657 6.64573i −1.39965 0.297504i −0.554564 0.832141i \(-0.687115\pi\)
−0.845082 + 0.534637i \(0.820448\pi\)
\(500\) −14.0752 10.2263i −0.629464 0.457332i
\(501\) 17.7798 + 30.7955i 0.794342 + 1.37584i
\(502\) 24.6962 42.7750i 1.10224 1.90914i
\(503\) 2.14600 0.955461i 0.0956854 0.0426019i −0.358336 0.933593i \(-0.616656\pi\)
0.454021 + 0.890991i \(0.349989\pi\)
\(504\) 8.14345 5.91656i 0.362738 0.263545i
\(505\) −4.20712 1.87313i −0.187214 0.0833532i
\(506\) 29.6140 6.29465i 1.31650 0.279831i
\(507\) 0.343935 3.27232i 0.0152747 0.145329i
\(508\) 6.59759 + 7.32736i 0.292721 + 0.325099i
\(509\) 10.7440 11.9324i 0.476217 0.528893i −0.456393 0.889778i \(-0.650859\pi\)
0.932610 + 0.360885i \(0.117525\pi\)
\(510\) 6.28901 + 59.8360i 0.278482 + 2.64958i
\(511\) −0.643780 1.98135i −0.0284792 0.0876499i
\(512\) −8.11276 24.9685i −0.358537 1.10346i
\(513\) −11.3571 108.055i −0.501427 4.77076i
\(514\) 13.0442 14.4871i 0.575357 0.638998i
\(515\) 13.3135 + 14.7861i 0.586662 + 0.651554i
\(516\) 3.14333 29.9068i 0.138377 1.31657i
\(517\) −22.9279 + 4.87347i −1.00837 + 0.214335i
\(518\) 30.7863 + 13.7070i 1.35267 + 0.602249i
\(519\) 44.1107 32.0483i 1.93625 1.40676i
\(520\) 1.65592 0.737265i 0.0726171 0.0323312i
\(521\) −10.7177 + 18.5636i −0.469552 + 0.813288i −0.999394 0.0348085i \(-0.988918\pi\)
0.529842 + 0.848096i \(0.322251\pi\)
\(522\) −29.2645 50.6876i −1.28087 2.21854i
\(523\) 18.3078 + 13.3014i 0.800542 + 0.581628i 0.911073 0.412245i \(-0.135255\pi\)
−0.110531 + 0.993873i \(0.535255\pi\)
\(524\) 18.0522 + 3.83711i 0.788613 + 0.167625i
\(525\) 0.206608 0.635874i 0.00901711 0.0277518i
\(526\) 2.87705 0.125445
\(527\) −3.05977 23.5782i −0.133286 1.02708i
\(528\) −83.2325 −3.62223
\(529\) −4.41127 + 13.5765i −0.191794 + 0.590282i
\(530\) 51.8725 + 11.0258i 2.25320 + 0.478932i
\(531\) −7.14250 5.18933i −0.309958 0.225198i
\(532\) −8.66508 15.0084i −0.375679 0.650695i
\(533\) 1.74900 3.02935i 0.0757575 0.131216i
\(534\) 28.0659 12.4958i 1.21453 0.540744i
\(535\) −19.4102 + 14.1023i −0.839176 + 0.609697i
\(536\) −6.40661 2.85240i −0.276723 0.123205i
\(537\) 0.447730 0.0951680i 0.0193210 0.00410680i
\(538\) 1.66998 15.8888i 0.0719979 0.685015i
\(539\) 16.0256 + 17.7982i 0.690272 + 0.766624i
\(540\) 37.9342 42.1302i 1.63243 1.81299i
\(541\) −2.99079 28.4554i −0.128584 1.22339i −0.848448 0.529279i \(-0.822462\pi\)
0.719864 0.694115i \(-0.244204\pi\)
\(542\) 7.48495 + 23.0363i 0.321506 + 0.989495i
\(543\) 10.0111 + 30.8109i 0.429616 + 1.32222i
\(544\) −3.22542 30.6878i −0.138289 1.31573i
\(545\) −1.36062 + 1.51112i −0.0582825 + 0.0647292i
\(546\) 6.68932 + 7.42925i 0.286277 + 0.317942i
\(547\) 1.27486 12.1295i 0.0545092 0.518621i −0.932866 0.360223i \(-0.882701\pi\)
0.987375 0.158397i \(-0.0506327\pi\)
\(548\) 5.67166 1.20555i 0.242281 0.0514985i
\(549\) 6.66961 + 2.96950i 0.284652 + 0.126735i
\(550\) −1.04883 + 0.762021i −0.0447223 + 0.0324927i
\(551\) 24.7154 11.0040i 1.05291 0.468786i
\(552\) −3.89037 + 6.73832i −0.165585 + 0.286802i
\(553\) −4.43403 7.67996i −0.188554 0.326585i
\(554\) −15.9539 11.5912i −0.677818 0.492463i
\(555\) −80.8266 17.1802i −3.43090 0.729260i
\(556\) −5.81451 + 17.8952i −0.246590 + 0.758926i
\(557\) 11.2129 0.475106 0.237553 0.971375i \(-0.423655\pi\)
0.237553 + 0.971375i \(0.423655\pi\)
\(558\) −53.6372 + 62.5664i −2.27064 + 2.64865i
\(559\) −5.79652 −0.245167
\(560\) −5.24637 + 16.1467i −0.221700 + 0.682321i
\(561\) −74.4861 15.8325i −3.14481 0.668449i
\(562\) 50.4935 + 36.6857i 2.12994 + 1.54749i
\(563\) −10.3918 17.9992i −0.437963 0.758575i 0.559569 0.828784i \(-0.310967\pi\)
−0.997532 + 0.0702089i \(0.977633\pi\)
\(564\) −11.2187 + 19.4314i −0.472394 + 0.818210i
\(565\) 33.3249 14.8372i 1.40199 0.624206i
\(566\) 13.5413 9.83830i 0.569181 0.413535i
\(567\) −42.2287 18.8014i −1.77344 0.789585i
\(568\) 1.61959 0.344255i 0.0679566 0.0144446i
\(569\) 3.21846 30.6216i 0.134925 1.28372i −0.692201 0.721705i \(-0.743359\pi\)
0.827125 0.562017i \(-0.189975\pi\)
\(570\) 64.5017 + 71.6363i 2.70168 + 3.00052i
\(571\) 0.0507575 0.0563719i 0.00212413 0.00235909i −0.742082 0.670309i \(-0.766161\pi\)
0.744206 + 0.667950i \(0.232828\pi\)
\(572\) −0.893211 8.49833i −0.0373470 0.355333i
\(573\) −9.25138 28.4728i −0.386482 1.18947i
\(574\) 3.28421 + 10.1078i 0.137080 + 0.421890i
\(575\) 0.0390523 + 0.371558i 0.00162860 + 0.0154951i
\(576\) −22.6808 + 25.1896i −0.945033 + 1.04957i
\(577\) −0.137737 0.152973i −0.00573408 0.00636834i 0.740271 0.672309i \(-0.234697\pi\)
−0.746005 + 0.665940i \(0.768031\pi\)
\(578\) 0.244190 2.32331i 0.0101570 0.0966370i
\(579\) 22.9951 4.88776i 0.955644 0.203128i
\(580\) 12.8960 + 5.74167i 0.535477 + 0.238410i
\(581\) 0.383856 0.278887i 0.0159250 0.0115702i
\(582\) −43.9180 + 19.5536i −1.82046 + 0.810521i
\(583\) −33.5603 + 58.1281i −1.38992 + 2.40742i
\(584\) −0.519083 0.899078i −0.0214798 0.0372041i
\(585\) −14.3360 10.4157i −0.592722 0.430638i
\(586\) 22.1958 + 4.71787i 0.916900 + 0.194893i
\(587\) 3.80537 11.7117i 0.157064 0.483394i −0.841300 0.540569i \(-0.818209\pi\)
0.998364 + 0.0571744i \(0.0182091\pi\)
\(588\) 22.9254 0.945429
\(589\) −26.1706 27.6804i −1.07834 1.14055i
\(590\) 4.83038 0.198864
\(591\) −7.90424 + 24.3268i −0.325137 + 1.00067i
\(592\) 50.6385 + 10.7635i 2.08123 + 0.442379i
\(593\) 4.78377 + 3.47561i 0.196446 + 0.142726i 0.681660 0.731669i \(-0.261258\pi\)
−0.485214 + 0.874395i \(0.661258\pi\)
\(594\) 81.3857 + 140.964i 3.33930 + 5.78383i
\(595\) −7.76648 + 13.4519i −0.318395 + 0.551476i
\(596\) −20.8557 + 9.28557i −0.854284 + 0.380352i
\(597\) 29.4097 21.3674i 1.20366 0.874511i
\(598\) −5.10328 2.27213i −0.208689 0.0929142i
\(599\) −8.67255 + 1.84341i −0.354351 + 0.0753196i −0.381648 0.924308i \(-0.624643\pi\)
0.0272972 + 0.999627i \(0.491310\pi\)
\(600\) 0.0348266 0.331353i 0.00142179 0.0135274i
\(601\) 14.8971 + 16.5449i 0.607665 + 0.674880i 0.965949 0.258733i \(-0.0833048\pi\)
−0.358284 + 0.933612i \(0.616638\pi\)
\(602\) 11.7844 13.0879i 0.480297 0.533423i
\(603\) 7.16627 + 68.1825i 0.291833 + 2.77661i
\(604\) 5.20206 + 16.0103i 0.211669 + 0.651450i
\(605\) −12.8549 39.5634i −0.522627 1.60848i
\(606\) −1.32301 12.5876i −0.0537434 0.511334i
\(607\) 14.7048 16.3314i 0.596850 0.662869i −0.366718 0.930332i \(-0.619519\pi\)
0.963568 + 0.267463i \(0.0861853\pi\)
\(608\) −33.0807 36.7398i −1.34160 1.49000i
\(609\) 2.18491 20.7881i 0.0885372 0.842375i
\(610\) −3.90718 + 0.830497i −0.158197 + 0.0336258i
\(611\) 3.95108 + 1.75914i 0.159844 + 0.0711670i
\(612\) −42.6305 + 30.9729i −1.72324 + 1.25201i
\(613\) 1.84030 0.819353i 0.0743289 0.0330934i −0.369235 0.929336i \(-0.620380\pi\)
0.443564 + 0.896243i \(0.353714\pi\)
\(614\) −17.8466 + 30.9113i −0.720232 + 1.24748i
\(615\) −13.0299 22.5684i −0.525416 0.910047i
\(616\) −5.63924 4.09715i −0.227211 0.165079i
\(617\) 17.3406 + 3.68585i 0.698105 + 0.148387i 0.543276 0.839554i \(-0.317184\pi\)
0.154829 + 0.987941i \(0.450517\pi\)
\(618\) −16.8980 + 52.0067i −0.679738 + 2.09202i
\(619\) 7.32942 0.294594 0.147297 0.989092i \(-0.452943\pi\)
0.147297 + 0.989092i \(0.452943\pi\)
\(620\) 1.59612 19.8122i 0.0641019 0.795675i
\(621\) 46.9076 1.88234
\(622\) −11.0972 + 34.1538i −0.444959 + 1.36944i
\(623\) 7.75819 + 1.64905i 0.310825 + 0.0660679i
\(624\) 12.4245 + 9.02689i 0.497376 + 0.361365i
\(625\) 12.8082 + 22.1845i 0.512328 + 0.887379i
\(626\) 9.88829 17.1270i 0.395215 0.684533i
\(627\) −111.459 + 49.6245i −4.45122 + 1.98181i
\(628\) 10.2919 7.47752i 0.410692 0.298386i
\(629\) 43.2698 + 19.2649i 1.72528 + 0.768143i
\(630\) 52.6629 11.1939i 2.09814 0.445974i
\(631\) −4.75320 + 45.2237i −0.189222 + 1.80033i 0.328212 + 0.944604i \(0.393554\pi\)
−0.517434 + 0.855723i \(0.673113\pi\)
\(632\) −2.95700 3.28408i −0.117623 0.130634i
\(633\) −39.7900 + 44.1913i −1.58151 + 1.75645i
\(634\) −0.467258 4.44566i −0.0185572 0.176560i
\(635\) −4.37543 13.4662i −0.173633 0.534389i
\(636\) 19.8542 + 61.1049i 0.787270 + 2.42297i
\(637\) −0.461918 4.39485i −0.0183018 0.174130i
\(638\) −27.1203 + 30.1201i −1.07370 + 1.19247i
\(639\) −10.8311 12.0292i −0.428472 0.475867i
\(640\) −1.48182 + 14.0986i −0.0585742 + 0.557296i
\(641\) 34.5638 7.34676i 1.36519 0.290179i 0.533677 0.845689i \(-0.320810\pi\)
0.831510 + 0.555509i \(0.187477\pi\)
\(642\) −60.2386 26.8200i −2.37743 1.05850i
\(643\) 15.0569 10.9395i 0.593785 0.431410i −0.249882 0.968276i \(-0.580392\pi\)
0.843668 + 0.536866i \(0.180392\pi\)
\(644\) 6.83508 3.04317i 0.269340 0.119918i
\(645\) −21.5918 + 37.3981i −0.850177 + 1.47255i
\(646\) −27.6270 47.8514i −1.08697 1.88269i
\(647\) −24.5987 17.8720i −0.967073 0.702620i −0.0122905 0.999924i \(-0.503912\pi\)
−0.954783 + 0.297305i \(0.903912\pi\)
\(648\) −22.5317 4.78925i −0.885127 0.188140i
\(649\) −1.88924 + 5.81448i −0.0741591 + 0.228238i
\(650\) 0.239207 0.00938249
\(651\) −28.6309 + 6.81769i −1.12213 + 0.267206i
\(652\) −4.76929 −0.186780
\(653\) −2.33560 + 7.18825i −0.0913992 + 0.281298i −0.986299 0.164970i \(-0.947247\pi\)
0.894899 + 0.446268i \(0.147247\pi\)
\(654\) −5.46641 1.16192i −0.213754 0.0454347i
\(655\) −21.4411 15.5779i −0.837773 0.608677i
\(656\) 8.16332 + 14.1393i 0.318724 + 0.552047i
\(657\) −5.07455 + 8.78939i −0.197977 + 0.342907i
\(658\) −12.0045 + 5.34477i −0.467986 + 0.208361i
\(659\) 37.5147 27.2560i 1.46137 1.06174i 0.478362 0.878163i \(-0.341231\pi\)
0.983004 0.183582i \(-0.0587692\pi\)
\(660\) −58.1569 25.8931i −2.26375 1.00789i
\(661\) −24.9824 + 5.31017i −0.971703 + 0.206542i −0.666302 0.745682i \(-0.732124\pi\)
−0.305401 + 0.952224i \(0.598790\pi\)
\(662\) 2.94771 28.0456i 0.114566 1.09002i
\(663\) 9.40175 + 10.4417i 0.365134 + 0.405522i
\(664\) 0.158210 0.175710i 0.00613972 0.00681885i
\(665\) 2.60136 + 24.7503i 0.100877 + 0.959776i
\(666\) −50.7321 156.137i −1.96583 6.05020i
\(667\) 3.60936 + 11.1085i 0.139755 + 0.430122i
\(668\) −1.78113 16.9463i −0.0689139 0.655672i
\(669\) −41.8289 + 46.4557i −1.61720 + 1.79608i
\(670\) −25.0991 27.8754i −0.969664 1.07692i
\(671\) 0.528466 5.02801i 0.0204012 0.194104i
\(672\) −37.3621 + 7.94155i −1.44127 + 0.306352i
\(673\) −0.362589 0.161435i −0.0139768 0.00622286i 0.399736 0.916630i \(-0.369102\pi\)
−0.413713 + 0.910407i \(0.635768\pi\)
\(674\) 4.01837 2.91952i 0.154782 0.112456i
\(675\) −1.83497 + 0.816980i −0.0706279 + 0.0314456i
\(676\) −0.788344 + 1.36545i −0.0303209 + 0.0525174i
\(677\) 21.7840 + 37.7309i 0.837225 + 1.45012i 0.892206 + 0.451629i \(0.149157\pi\)
−0.0549802 + 0.998487i \(0.517510\pi\)
\(678\) 81.1091 + 58.9292i 3.11497 + 2.26316i
\(679\) −12.1401 2.58046i −0.465895 0.0990291i
\(680\) −2.39193 + 7.36160i −0.0917263 + 0.282305i
\(681\) 69.5840 2.66647
\(682\) 52.6837 + 21.9366i 2.01736 + 0.839994i
\(683\) 22.8767 0.875353 0.437677 0.899132i \(-0.355801\pi\)
0.437677 + 0.899132i \(0.355801\pi\)
\(684\) −26.0890 + 80.2937i −0.997538 + 3.07011i
\(685\) −8.14468 1.73121i −0.311192 0.0661460i
\(686\) 28.0684 + 20.3929i 1.07166 + 0.778604i
\(687\) −21.2200 36.7542i −0.809595 1.40226i
\(688\) 13.5274 23.4302i 0.515728 0.893268i
\(689\) 11.3139 5.03727i 0.431025 0.191905i
\(690\) −33.6689 + 24.4619i −1.28175 + 0.931247i
\(691\) 37.5592 + 16.7224i 1.42882 + 0.636151i 0.967910 0.251296i \(-0.0808569\pi\)
0.460909 + 0.887448i \(0.347524\pi\)
\(692\) −25.5561 + 5.43212i −0.971498 + 0.206498i
\(693\) −7.12292 + 67.7701i −0.270578 + 2.57437i
\(694\) −20.3458 22.5963i −0.772316 0.857744i
\(695\) 18.0803 20.0802i 0.685825 0.761685i
\(696\) −1.08880 10.3592i −0.0412707 0.392664i
\(697\) 4.61591 + 14.2063i 0.174840 + 0.538102i
\(698\) −21.5918 66.4527i −0.817261 2.51527i
\(699\) 2.23328 + 21.2482i 0.0844703 + 0.803681i
\(700\) −0.214378 + 0.238091i −0.00810272 + 0.00899898i
\(701\) −23.9407 26.5888i −0.904226 1.00424i −0.999961 0.00883780i \(-0.997187\pi\)
0.0957350 0.995407i \(-0.469480\pi\)
\(702\) 3.13935 29.8689i 0.118487 1.12733i
\(703\) 74.2285 15.7778i 2.79958 0.595069i
\(704\) 21.4432 + 9.54713i 0.808171 + 0.359821i
\(705\) 26.0673 18.9390i 0.981750 0.713283i
\(706\) 38.4518 17.1199i 1.44715 0.644314i
\(707\) 1.63382 2.82985i 0.0614460 0.106428i
\(708\) 2.92610 + 5.06815i 0.109970 + 0.190473i
\(709\) −26.2539 19.0746i −0.985986 0.716361i −0.0269474 0.999637i \(-0.508579\pi\)
−0.959038 + 0.283276i \(0.908579\pi\)
\(710\) 8.66275 + 1.84132i 0.325107 + 0.0691036i
\(711\) −13.3501 + 41.0873i −0.500667 + 1.54089i
\(712\) 3.95246 0.148125
\(713\) 13.0660 9.98752i 0.489324 0.374036i
\(714\) −42.6901 −1.59764
\(715\) −3.79198 + 11.6705i −0.141812 + 0.436452i
\(716\) −0.214546 0.0456032i −0.00801796 0.00170427i
\(717\) 13.6582 + 9.92328i 0.510076 + 0.370592i
\(718\) −18.4880 32.0222i −0.689967 1.19506i
\(719\) −21.4097 + 37.0827i −0.798447 + 1.38295i 0.122180 + 0.992508i \(0.461012\pi\)
−0.920627 + 0.390443i \(0.872322\pi\)
\(720\) 75.5578 33.6405i 2.81587 1.25371i
\(721\) −11.4213 + 8.29809i −0.425353 + 0.309037i
\(722\) −48.0470 21.3919i −1.78813 0.796125i
\(723\) 49.4881 10.5190i 1.84048 0.391206i
\(724\) 1.62269 15.4389i 0.0603070 0.573783i
\(725\) −0.334668 0.371686i −0.0124293 0.0138041i
\(726\) 76.5017 84.9637i 2.83924 3.15330i
\(727\) −3.48887 33.1944i −0.129395 1.23111i −0.845828 0.533456i \(-0.820893\pi\)
0.716433 0.697656i \(-0.245774\pi\)
\(728\) 0.397440 + 1.22319i 0.0147301 + 0.0453346i
\(729\) 21.1470 + 65.0839i 0.783223 + 2.41051i
\(730\) −0.580432 5.52244i −0.0214828 0.204395i
\(731\) 16.5628 18.3949i 0.612598 0.680359i
\(732\) −3.23823 3.59642i −0.119688 0.132927i
\(733\) 3.59745 34.2275i 0.132875 1.26422i −0.701358 0.712809i \(-0.747423\pi\)
0.834233 0.551412i \(-0.185911\pi\)
\(734\) −45.7642 + 9.72748i −1.68919 + 0.359048i
\(735\) −30.0754 13.3904i −1.10935 0.493914i
\(736\) 17.2676 12.5456i 0.636492 0.462439i
\(737\) 43.3711 19.3101i 1.59760 0.711296i
\(738\) 25.8876 44.8386i 0.952935 1.65053i
\(739\) −14.7078 25.4746i −0.541034 0.937099i −0.998845 0.0480492i \(-0.984700\pi\)
0.457811 0.889050i \(-0.348634\pi\)
\(740\) 32.0340 + 23.2741i 1.17760 + 0.855573i
\(741\) 22.0198 + 4.68046i 0.808919 + 0.171941i
\(742\) −11.6277 + 35.7864i −0.426866 + 1.31376i
\(743\) 0.387520 0.0142167 0.00710836 0.999975i \(-0.497737\pi\)
0.00710836 + 0.999975i \(0.497737\pi\)
\(744\) −13.2493 + 6.28955i −0.485744 + 0.230586i
\(745\) 32.7838 1.20110
\(746\) −2.67028 + 8.21828i −0.0977659 + 0.300893i
\(747\) −2.26093 0.480576i −0.0827231 0.0175833i
\(748\) 29.5211 + 21.4483i 1.07940 + 0.784229i
\(749\) −8.51180 14.7429i −0.311014 0.538693i
\(750\) −34.3324 + 59.4655i −1.25364 + 2.17137i
\(751\) −38.0168 + 16.9261i −1.38725 + 0.617644i −0.958321 0.285694i \(-0.907776\pi\)
−0.428930 + 0.903338i \(0.641109\pi\)
\(752\) −16.3313 + 11.8654i −0.595542 + 0.432687i
\(753\) −78.5039 34.9522i −2.86084 1.27373i
\(754\) 7.31500 1.55485i 0.266397 0.0566243i
\(755\) 2.52692 24.0420i 0.0919640 0.874979i
\(756\) 26.9160 + 29.8932i 0.978924 + 1.08721i
\(757\) 30.2391 33.5839i 1.09906 1.22063i 0.125522 0.992091i \(-0.459940\pi\)
0.973535 0.228536i \(-0.0733938\pi\)
\(758\) 6.95544 + 66.1766i 0.252633 + 2.40364i
\(759\) −16.2771 50.0957i −0.590820 1.81836i
\(760\) 3.83231 + 11.7946i 0.139012 + 0.427836i
\(761\) −1.19911 11.4088i −0.0434677 0.413568i −0.994521 0.104540i \(-0.966663\pi\)
0.951053 0.309028i \(-0.100004\pi\)
\(762\) 26.0388 28.9191i 0.943287 1.04763i
\(763\) −0.965418 1.07220i −0.0349505 0.0388164i
\(764\) −1.49956 + 14.2673i −0.0542521 + 0.516174i
\(765\) 74.0170 15.7328i 2.67609 0.568821i
\(766\) 30.3062 + 13.4932i 1.09501 + 0.487529i
\(767\) 0.912618 0.663056i 0.0329527 0.0239415i
\(768\) −61.6298 + 27.4394i −2.22387 + 0.990133i
\(769\) −11.8835 + 20.5828i −0.428530 + 0.742236i −0.996743 0.0806459i \(-0.974302\pi\)
0.568213 + 0.822882i \(0.307635\pi\)
\(770\) −18.6416 32.2882i −0.671796 1.16358i
\(771\) −27.4389 19.9355i −0.988188 0.717961i
\(772\) −11.0189 2.34215i −0.396580 0.0842957i
\(773\) −0.685866 + 2.11088i −0.0246689 + 0.0759230i −0.962633 0.270809i \(-0.912709\pi\)
0.937964 + 0.346732i \(0.112709\pi\)
\(774\) −85.7965 −3.08389
\(775\) −0.337174 + 0.618267i −0.0121116 + 0.0222088i
\(776\) −6.18487 −0.222024
\(777\) 18.1181 55.7616i 0.649982 2.00044i
\(778\) −18.3943 3.90983i −0.659468 0.140174i
\(779\) 19.3618 + 14.0671i 0.693707 + 0.504007i
\(780\) 5.87310 + 10.1725i 0.210291 + 0.364234i
\(781\) −5.60460 + 9.70744i −0.200548 + 0.347360i
\(782\) 21.7924 9.70260i 0.779295 0.346964i
\(783\) −50.8032 + 36.9107i −1.81556 + 1.31908i
\(784\) 18.8425 + 8.38921i 0.672946 + 0.299615i
\(785\) −17.8693 + 3.79823i −0.637782 + 0.135565i
\(786\) 7.61371 72.4396i 0.271572 2.58384i
\(787\) −10.1846 11.3111i −0.363042 0.403199i 0.533757 0.845638i \(-0.320780\pi\)
−0.896798 + 0.442439i \(0.854113\pi\)
\(788\) 8.20149 9.10868i 0.292166 0.324483i
\(789\) −0.523218 4.97809i −0.0186270 0.177225i
\(790\) −7.30419 22.4800i −0.259872 0.799802i
\(791\) 7.99835 + 24.6164i 0.284389 + 0.875258i
\(792\) 3.54952 + 33.7715i 0.126127 + 1.20002i
\(793\) −0.624194 + 0.693238i −0.0221658 + 0.0246176i
\(794\) −4.26146 4.73283i −0.151234 0.167962i
\(795\) 9.64425 91.7589i 0.342046 3.25435i
\(796\) −17.0389 + 3.62173i −0.603929 + 0.128369i
\(797\) −34.2513 15.2497i −1.21324 0.540171i −0.302502 0.953149i \(-0.597822\pi\)
−0.910741 + 0.412978i \(0.864489\pi\)
\(798\) −55.3346 + 40.2029i −1.95882 + 1.42317i
\(799\) −16.8722 + 7.51199i −0.596896 + 0.265755i
\(800\) −0.456983 + 0.791517i −0.0161568 + 0.0279844i
\(801\) −19.3196 33.4626i −0.682625 1.18234i
\(802\) 44.2808 + 32.1719i 1.56361 + 1.13603i
\(803\) 6.87455 + 1.46123i 0.242598 + 0.0515657i
\(804\) 14.0432 43.2207i 0.495267 1.52428i
\(805\) −10.7443 −0.378686
\(806\) −5.48521 8.98832i −0.193208 0.316600i
\(807\) −27.7957 −0.978456
\(808\) 0.503185 1.54864i 0.0177020 0.0544811i
\(809\) 7.52472 + 1.59943i 0.264555 + 0.0562329i 0.338279 0.941046i \(-0.390155\pi\)
−0.0737243 + 0.997279i \(0.523488\pi\)
\(810\) −99.6773 72.4198i −3.50230 2.54457i
\(811\) −3.93256 6.81139i −0.138091 0.239180i 0.788683 0.614800i \(-0.210763\pi\)
−0.926774 + 0.375620i \(0.877430\pi\)
\(812\) −5.00811 + 8.67431i −0.175750 + 0.304408i
\(813\) 38.4980 17.1404i 1.35018 0.601141i
\(814\) −91.9751 + 66.8238i −3.22372 + 2.34217i
\(815\) 6.25674 + 2.78568i 0.219164 + 0.0975781i
\(816\) −64.1475 + 13.6350i −2.24561 + 0.477320i
\(817\) 4.14543 39.4412i 0.145030 1.37987i
\(818\) −45.7566 50.8179i −1.59984 1.77681i
\(819\) 8.41320 9.34381i 0.293981 0.326499i
\(820\) 1.30530 + 12.4191i 0.0455830 + 0.433693i
\(821\) 2.22211 + 6.83895i 0.0775522 + 0.238681i 0.982315 0.187234i \(-0.0599522\pi\)
−0.904763 + 0.425915i \(0.859952\pi\)
\(822\) −7.07171 21.7645i −0.246654 0.759124i
\(823\) −5.42443 51.6100i −0.189084 1.79901i −0.518764 0.854918i \(-0.673607\pi\)
0.329680 0.944093i \(-0.393059\pi\)
\(824\) −4.70741 + 5.22811i −0.163990 + 0.182130i
\(825\) 1.50925 + 1.67619i 0.0525452 + 0.0583574i
\(826\) −0.358257 + 3.40859i −0.0124654 + 0.118600i
\(827\) −52.4717 + 11.1532i −1.82462 + 0.387835i −0.987298 0.158878i \(-0.949212\pi\)
−0.837320 + 0.546713i \(0.815879\pi\)
\(828\) −33.2978 14.8252i −1.15718 0.515210i
\(829\) −20.0827 + 14.5909i −0.697501 + 0.506764i −0.879117 0.476605i \(-0.841867\pi\)
0.181616 + 0.983369i \(0.441867\pi\)
\(830\) 1.15532 0.514381i 0.0401017 0.0178544i
\(831\) −17.1546 + 29.7127i −0.595088 + 1.03072i
\(832\) −2.16549 3.75074i −0.0750748 0.130033i
\(833\) 15.2666 + 11.0919i 0.528958 + 0.384310i
\(834\) 72.6393 + 15.4400i 2.51529 + 0.534642i
\(835\) −7.56148 + 23.2718i −0.261676 + 0.805355i
\(836\) 58.4638 2.02201
\(837\) 72.7756 + 50.2157i 2.51549 + 1.73571i
\(838\) −11.6090 −0.401025
\(839\) −8.34567 + 25.6853i −0.288125 + 0.886756i 0.697320 + 0.716760i \(0.254376\pi\)
−0.985445 + 0.169996i \(0.945624\pi\)
\(840\) 9.37228 + 1.99214i 0.323374 + 0.0687354i
\(841\) 10.8113 + 7.85489i 0.372804 + 0.270858i
\(842\) −18.5621 32.1505i −0.639693 1.10798i
\(843\) 54.2937 94.0394i 1.86997 3.23889i
\(844\) 26.0314 11.5899i 0.896037 0.398941i
\(845\) 1.83176 1.33085i 0.0630143 0.0457826i
\(846\) 58.4815 + 26.0376i 2.01063 + 0.895192i
\(847\) 28.8716 6.13685i 0.992040 0.210865i
\(848\) −6.04219 + 57.4876i −0.207490 + 1.97413i
\(849\) −19.4856 21.6409i −0.668744 0.742715i
\(850\) −0.683504 + 0.759108i −0.0234440 + 0.0260372i
\(851\) 3.42461 + 32.5830i 0.117394 + 1.11693i
\(852\) 3.31567 + 10.2046i 0.113593 + 0.349603i
\(853\) 6.06632 + 18.6702i 0.207707 + 0.639256i 0.999591 + 0.0285849i \(0.00910009\pi\)
−0.791885 + 0.610671i \(0.790900\pi\)
\(854\) −0.296260 2.81872i −0.0101378 0.0964547i
\(855\) 81.1241 90.0975i 2.77439 3.08127i
\(856\) −5.67641 6.30429i −0.194016 0.215476i
\(857\) −5.21583 + 49.6253i −0.178169 + 1.69517i 0.431180 + 0.902266i \(0.358097\pi\)
−0.609349 + 0.792902i \(0.708569\pi\)
\(858\) −32.9883 + 7.01188i −1.12620 + 0.239382i
\(859\) 35.9003 + 15.9839i 1.22490 + 0.545362i 0.914246 0.405160i \(-0.132784\pi\)
0.310658 + 0.950522i \(0.399451\pi\)
\(860\) 16.7410 12.1630i 0.570863 0.414756i
\(861\) 16.8920 7.52079i 0.575677 0.256308i
\(862\) −16.3526 + 28.3235i −0.556972 + 0.964703i
\(863\) −2.64140 4.57503i −0.0899142 0.155736i 0.817561 0.575843i \(-0.195326\pi\)
−0.907475 + 0.420107i \(0.861993\pi\)
\(864\) 92.8363 + 67.4495i 3.15835 + 2.29468i
\(865\) 36.6994 + 7.80069i 1.24782 + 0.265232i
\(866\) −8.29996 + 25.5446i −0.282044 + 0.868042i
\(867\) −4.06438 −0.138034
\(868\) 13.8622 + 2.59573i 0.470514 + 0.0881049i
\(869\) 29.9167 1.01485
\(870\) 17.2165 52.9868i 0.583693 1.79642i
\(871\) −8.56844 1.82128i −0.290330 0.0617117i
\(872\) −0.581666 0.422605i −0.0196977 0.0143112i
\(873\) 30.2316 + 52.3627i 1.02319 + 1.77221i
\(874\) 19.1098 33.0992i 0.646400 1.11960i
\(875\) −16.1946 + 7.21032i −0.547479 + 0.243753i
\(876\) 5.44267 3.95433i 0.183891 0.133604i
\(877\) −7.87678 3.50697i −0.265980 0.118422i 0.269414 0.963025i \(-0.413170\pi\)
−0.535394 + 0.844603i \(0.679837\pi\)
\(878\) −4.76630 + 1.01311i −0.160855 + 0.0341908i
\(879\) 4.12670 39.2629i 0.139190 1.32430i
\(880\) −38.3241 42.5632i −1.29191 1.43481i
\(881\) 13.0865 14.5340i 0.440894 0.489663i −0.481209 0.876606i \(-0.659802\pi\)
0.922104 + 0.386943i \(0.126469\pi\)
\(882\) −6.83702 65.0499i −0.230214 2.19034i
\(883\) 12.6061 + 38.7977i 0.424230 + 1.30565i 0.903730 + 0.428104i \(0.140818\pi\)
−0.479499 + 0.877542i \(0.659182\pi\)
\(884\) −2.08058 6.40336i −0.0699774 0.215368i
\(885\) −0.878451 8.35790i −0.0295288 0.280948i
\(886\) 3.40532 3.78199i 0.114404 0.127058i
\(887\) −6.19266 6.87764i −0.207929 0.230929i 0.630155 0.776469i \(-0.282991\pi\)
−0.838085 + 0.545540i \(0.816324\pi\)
\(888\) 3.05404 29.0573i 0.102487 0.975099i
\(889\) 9.82701 2.08880i 0.329587 0.0700560i
\(890\) 19.3129 + 8.59866i 0.647370 + 0.288228i
\(891\) 126.159 91.6601i 4.22650 3.07073i
\(892\) 27.3653 12.1838i 0.916258 0.407944i
\(893\) −14.7953 + 25.6262i −0.495106 + 0.857549i
\(894\) 45.0507 + 78.0301i 1.50672 + 2.60972i
\(895\) 0.254822 + 0.185139i 0.00851778 + 0.00618853i
\(896\) −9.83887 2.09132i −0.328694 0.0698660i
\(897\) −3.00333 + 9.24329i −0.100278 + 0.308625i
\(898\) −36.3930 −1.21445
\(899\) −6.29208 + 21.0983i −0.209853 + 0.703669i
\(900\) 1.56078 0.0520260
\(901\) −16.3426 + 50.2973i −0.544450 + 1.67564i
\(902\) −35.0702 7.45439i −1.16771 0.248204i
\(903\) −24.7888 18.0101i −0.824920 0.599340i
\(904\) 6.44911 + 11.1702i 0.214494 + 0.371515i
\(905\) −11.1464 + 19.3062i −0.370520 + 0.641760i
\(906\) 60.6959 27.0236i 2.01649 0.897798i
\(907\) 31.7852 23.0933i 1.05541 0.766799i 0.0821751 0.996618i \(-0.473813\pi\)
0.973233 + 0.229819i \(0.0738133\pi\)
\(908\) −30.4610 13.5621i −1.01088 0.450074i
\(909\) −15.5708 + 3.30967i −0.516450 + 0.109775i
\(910\) −0.719074 + 6.84153i −0.0238371 + 0.226795i
\(911\) −31.3930 34.8654i −1.04010 1.15514i −0.987675 0.156519i \(-0.949973\pi\)
−0.0524209 0.998625i \(-0.516694\pi\)
\(912\) −70.3070 + 78.0838i −2.32810 + 2.58561i
\(913\) 0.167313 + 1.59188i 0.00553725 + 0.0526834i
\(914\) −16.6944 51.3801i −0.552202 1.69950i
\(915\) 2.14755 + 6.60947i 0.0709957 + 0.218502i
\(916\) 2.12576 + 20.2253i 0.0702372 + 0.668262i
\(917\) 12.5829 13.9747i 0.415522 0.461484i
\(918\) 85.8166 + 95.3090i 2.83237 + 3.14567i
\(919\) 2.21438 21.0685i 0.0730458 0.694984i −0.895316 0.445432i \(-0.853050\pi\)
0.968361 0.249552i \(-0.0802834\pi\)
\(920\) −5.23713 + 1.11319i −0.172663 + 0.0367007i
\(921\) 56.7307 + 25.2581i 1.86934 + 0.832284i
\(922\) −35.3451 + 25.6797i −1.16403 + 0.845717i
\(923\) 1.88943 0.841229i 0.0621914 0.0276894i
\(924\) 22.5850 39.1184i 0.742992 1.28690i
\(925\) −0.701459 1.21496i −0.0230638 0.0399477i
\(926\) −22.5669 16.3958i −0.741596 0.538801i
\(927\) 67.2724 + 14.2992i 2.20951 + 0.469647i
\(928\) −8.82973 + 27.1751i −0.289850 + 0.892067i
\(929\) −26.0349 −0.854177 −0.427088 0.904210i \(-0.640461\pi\)
−0.427088 + 0.904210i \(0.640461\pi\)
\(930\) −78.4232 + 1.90845i −2.57160 + 0.0625806i
\(931\) 30.2342 0.990884
\(932\) 3.16369 9.73685i 0.103630 0.318941i
\(933\) 61.1137 + 12.9901i 2.00077 + 0.425277i
\(934\) −29.3181 21.3009i −0.959318 0.696985i
\(935\) −26.2005 45.3805i −0.856847 1.48410i
\(936\) 3.13279 5.42616i 0.102399 0.177360i
\(937\) −38.6931 + 17.2273i −1.26405 + 0.562791i −0.925710 0.378233i \(-0.876532\pi\)
−0.338339 + 0.941024i \(0.609865\pi\)
\(938\) 21.5320 15.6439i 0.703045 0.510792i
\(939\) −31.4328 13.9948i −1.02577 0.456702i
\(940\) −15.1024 + 3.21012i −0.492586 + 0.104702i
\(941\) 3.17468 30.2050i 0.103492 0.984656i −0.812365 0.583150i \(-0.801820\pi\)
0.915856 0.401506i \(-0.131513\pi\)
\(942\) −33.5959 37.3120i −1.09461 1.21569i
\(943\) −6.91367 + 7.67841i −0.225140 + 0.250043i
\(944\) 0.550356 + 5.23629i 0.0179126 + 0.170427i
\(945\) −17.8503 54.9375i −0.580670 1.78712i
\(946\) 18.3596 + 56.5051i 0.596923 + 1.83714i
\(947\) −2.97127 28.2697i −0.0965532 0.918642i −0.930375 0.366609i \(-0.880519\pi\)
0.833822 0.552033i \(-0.186148\pi\)
\(948\) 19.1619 21.2814i 0.622349 0.691189i
\(949\) −0.867716 0.963696i −0.0281672 0.0312829i
\(950\) −0.171071 + 1.62763i −0.00555028 + 0.0528074i
\(951\) −7.60725 + 1.61697i −0.246682 + 0.0524339i
\(952\) −5.01736 2.23387i −0.162614 0.0724002i
\(953\) −31.1003 + 22.5957i −1.00744 + 0.731945i −0.963670 0.267096i \(-0.913936\pi\)
−0.0437666 + 0.999042i \(0.513936\pi\)
\(954\) 167.461 74.5586i 5.42176 2.41392i
\(955\) 10.3006 17.8411i 0.333319 0.577326i
\(956\) −4.04493 7.00602i −0.130822 0.226591i
\(957\) 57.0482 + 41.4480i 1.84411 + 1.33982i
\(958\) −23.2943 4.95136i −0.752605 0.159971i
\(959\) 1.82571 5.61895i 0.0589552 0.181445i
\(960\) −32.2654 −1.04136
\(961\) 30.9633 1.50790i 0.998816 0.0486418i
\(962\) 20.9768 0.676319
\(963\) −25.6275 + 78.8733i −0.825835 + 2.54166i
\(964\) −23.7140 5.04057i −0.763776 0.162346i
\(965\) 13.0875 + 9.50863i 0.421302 + 0.306093i
\(966\) −14.7645 25.5729i −0.475041 0.822795i
\(967\) 6.17445 10.6945i 0.198557 0.343911i −0.749504 0.662000i \(-0.769708\pi\)
0.948061 + 0.318089i \(0.103041\pi\)
\(968\) 13.4372 5.98262i 0.431888 0.192289i
\(969\) −77.7720 + 56.5046i −2.49840 + 1.81519i
\(970\) −30.2211 13.4553i −0.970342 0.432024i
\(971\) 39.7393 8.44686i 1.27530 0.271073i 0.479987 0.877276i \(-0.340642\pi\)
0.795310 + 0.606203i \(0.207308\pi\)
\(972\) 7.75135 73.7492i 0.248625 2.36551i
\(973\) 12.8288 + 14.2478i 0.411271 + 0.456763i
\(974\) −16.3208 + 18.1261i −0.522952 + 0.580797i
\(975\) −0.0435021 0.413895i −0.00139318 0.0132552i
\(976\) −1.34545 4.14088i −0.0430669 0.132546i
\(977\) −16.6629 51.2832i −0.533094 1.64069i −0.747732 0.664001i \(-0.768857\pi\)
0.214638 0.976694i \(-0.431143\pi\)
\(978\) 1.96755 + 18.7200i 0.0629152 + 0.598598i
\(979\) −17.9041 + 19.8845i −0.572216 + 0.635510i
\(980\) 10.5559 + 11.7236i 0.337197 + 0.374495i
\(981\) −0.734702 + 6.99023i −0.0234572 + 0.223181i
\(982\) −36.8569 + 7.83417i −1.17615 + 0.249998i
\(983\) 30.4102 + 13.5395i 0.969934 + 0.431843i 0.829659 0.558270i \(-0.188535\pi\)
0.140275 + 0.990113i \(0.455201\pi\)
\(984\) 7.45451 5.41602i 0.237641 0.172656i
\(985\) −16.0796 + 7.15911i −0.512340 + 0.228108i
\(986\) −15.9675 + 27.6564i −0.508507 + 0.880760i
\(987\) 11.4311 + 19.7992i 0.363855 + 0.630215i
\(988\) −8.72713 6.34063i −0.277647 0.201722i
\(989\) 16.7475 + 3.55980i 0.532540 + 0.113195i
\(990\) −56.1265 + 172.739i −1.78382 + 5.49002i
\(991\) −23.9415 −0.760526 −0.380263 0.924878i \(-0.624166\pi\)
−0.380263 + 0.924878i \(0.624166\pi\)
\(992\) 40.2206 0.978779i 1.27700 0.0310763i
\(993\) −49.0627 −1.55696
\(994\) −1.94184 + 5.97636i −0.0615913 + 0.189559i
\(995\) 24.4684 + 5.20092i 0.775701 + 0.164880i
\(996\) 1.23956 + 0.900591i 0.0392769 + 0.0285363i
\(997\) 23.0274 + 39.8847i 0.729286 + 1.26316i 0.957185 + 0.289476i \(0.0934812\pi\)
−0.227899 + 0.973685i \(0.573185\pi\)
\(998\) 30.2256 52.3522i 0.956774 1.65718i
\(999\) −160.914 + 71.6434i −5.09108 + 2.26670i
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 403.2.bi.a.40.4 120
31.7 even 15 inner 403.2.bi.a.131.4 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.bi.a.40.4 120 1.1 even 1 trivial
403.2.bi.a.131.4 yes 120 31.7 even 15 inner