Properties

Label 49.6.g.a.2.14
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
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] = [49,6,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.85880717084\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(3.73931 + 1.15342i) q^{2} +(0.0993195 - 0.253062i) q^{3} +(-13.7876 - 9.40021i) q^{4} +(41.9031 - 6.31588i) q^{5} +(0.663274 - 0.831720i) q^{6} +(64.1502 - 112.658i) q^{7} +(-118.788 - 148.955i) q^{8} +(178.077 + 165.232i) q^{9} +O(q^{10})\) \(q+(3.73931 + 1.15342i) q^{2} +(0.0993195 - 0.253062i) q^{3} +(-13.7876 - 9.40021i) q^{4} +(41.9031 - 6.31588i) q^{5} +(0.663274 - 0.831720i) q^{6} +(64.1502 - 112.658i) q^{7} +(-118.788 - 148.955i) q^{8} +(178.077 + 165.232i) q^{9} +(163.974 + 24.7151i) q^{10} +(391.800 - 363.537i) q^{11} +(-3.74821 + 2.55549i) q^{12} +(-122.837 - 538.183i) q^{13} +(369.820 - 347.270i) q^{14} +(2.56349 - 11.2314i) q^{15} +(-77.2877 - 196.926i) q^{16} +(95.5982 + 1275.67i) q^{17} +(475.305 + 823.252i) q^{18} +(-8.21888 + 14.2355i) q^{19} +(-637.113 - 306.818i) q^{20} +(-22.1380 - 27.4231i) q^{21} +(1884.37 - 907.467i) q^{22} +(113.036 - 1508.36i) q^{23} +(-49.4928 + 15.2665i) q^{24} +(-1270.18 + 391.800i) q^{25} +(161.429 - 2154.12i) q^{26} +(119.019 - 57.3165i) q^{27} +(-1943.48 + 950.252i) q^{28} +(429.722 + 206.943i) q^{29} +(22.5402 - 39.0408i) q^{30} +(626.100 + 1084.44i) q^{31} +(393.741 + 5254.10i) q^{32} +(-53.0840 - 135.256i) q^{33} +(-1113.92 + 4880.39i) q^{34} +(1976.56 - 5125.88i) q^{35} +(-902.044 - 3952.11i) q^{36} +(-10672.5 + 7276.40i) q^{37} +(-47.1525 + 43.7512i) q^{38} +(-148.394 - 22.3668i) q^{39} +(-5918.36 - 5491.44i) q^{40} +(299.854 + 376.006i) q^{41} +(-51.1505 - 128.078i) q^{42} +(-10855.8 + 13612.8i) q^{43} +(-8819.30 + 1329.30i) q^{44} +(8505.59 + 5799.01i) q^{45} +(2162.45 - 5509.84i) q^{46} +(26997.0 + 8327.47i) q^{47} -57.5106 q^{48} +(-8576.51 - 14454.0i) q^{49} -5201.52 q^{50} +(332.318 + 102.507i) q^{51} +(-3365.41 + 8574.94i) q^{52} +(3576.61 + 2438.49i) q^{53} +(511.159 - 77.0448i) q^{54} +(14121.6 - 17707.9i) q^{55} +(-24401.2 + 3826.86i) q^{56} +(2.78617 + 3.49375i) q^{57} +(1368.17 + 1269.48i) q^{58} +(-4156.65 - 626.514i) q^{59} +(-140.922 + 130.756i) q^{60} +(32451.1 - 22124.8i) q^{61} +(1090.37 + 4777.20i) q^{62} +(30038.3 - 9462.15i) q^{63} +(-6094.27 + 26700.7i) q^{64} +(-8546.35 - 21775.7i) q^{65} +(-42.4902 - 566.992i) q^{66} +(3066.53 + 5311.38i) q^{67} +(10673.5 - 18487.0i) q^{68} +(-370.481 - 178.414i) q^{69} +(13303.3 - 16887.4i) q^{70} +(35798.0 - 17239.4i) q^{71} +(3458.69 - 46153.0i) q^{72} +(79796.1 - 24613.8i) q^{73} +(-48300.6 + 14898.8i) q^{74} +(-27.0044 + 360.348i) q^{75} +(247.135 - 119.014i) q^{76} +(-15821.2 - 67460.2i) q^{77} +(-529.092 - 254.797i) q^{78} +(-24456.2 + 42359.4i) q^{79} +(-4482.36 - 7763.67i) q^{80} +(4408.71 + 58830.2i) q^{81} +(687.555 + 1751.86i) q^{82} +(-20680.9 + 90609.0i) q^{83} +(47.4469 + 586.200i) q^{84} +(12062.8 + 52850.7i) q^{85} +(-56294.6 + 38381.0i) q^{86} +(95.0493 - 88.1929i) q^{87} +(-100692. - 15176.8i) q^{88} +(-37854.4 - 35123.8i) q^{89} +(25116.3 + 31494.9i) q^{90} +(-68510.5 - 20686.0i) q^{91} +(-15737.4 + 19734.0i) q^{92} +(336.613 - 50.7363i) q^{93} +(91345.0 + 62278.0i) q^{94} +(-254.487 + 648.422i) q^{95} +(1368.72 + 422.194i) q^{96} -61296.3 q^{97} +(-15398.6 - 63940.4i) q^{98} +129839. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.73931 + 1.15342i 0.661023 + 0.203899i 0.607074 0.794645i \(-0.292343\pi\)
0.0539488 + 0.998544i \(0.482819\pi\)
\(3\) 0.0993195 0.253062i 0.00637135 0.0162339i −0.927653 0.373444i \(-0.878177\pi\)
0.934024 + 0.357210i \(0.116272\pi\)
\(4\) −13.7876 9.40021i −0.430862 0.293757i
\(5\) 41.9031 6.31588i 0.749586 0.112982i 0.236871 0.971541i \(-0.423878\pi\)
0.512715 + 0.858559i \(0.328640\pi\)
\(6\) 0.663274 0.831720i 0.00752168 0.00943189i
\(7\) 64.1502 112.658i 0.494826 0.868992i
\(8\) −118.788 148.955i −0.656216 0.822869i
\(9\) 178.077 + 165.232i 0.732829 + 0.679966i
\(10\) 163.974 + 24.7151i 0.518531 + 0.0781559i
\(11\) 391.800 363.537i 0.976298 0.905872i −0.0192794 0.999814i \(-0.506137\pi\)
0.995578 + 0.0939416i \(0.0299467\pi\)
\(12\) −3.74821 + 2.55549i −0.00751399 + 0.00512295i
\(13\) −122.837 538.183i −0.201591 0.883226i −0.969969 0.243230i \(-0.921793\pi\)
0.768378 0.639996i \(-0.221064\pi\)
\(14\) 369.820 347.270i 0.504278 0.473529i
\(15\) 2.56349 11.2314i 0.00294173 0.0128886i
\(16\) −77.2877 196.926i −0.0754763 0.192310i
\(17\) 95.5982 + 1275.67i 0.0802282 + 1.07057i 0.881473 + 0.472235i \(0.156552\pi\)
−0.801245 + 0.598337i \(0.795828\pi\)
\(18\) 475.305 + 823.252i 0.345773 + 0.598896i
\(19\) −8.21888 + 14.2355i −0.00522310 + 0.00904668i −0.868625 0.495470i \(-0.834996\pi\)
0.863402 + 0.504517i \(0.168329\pi\)
\(20\) −637.113 306.818i −0.356157 0.171516i
\(21\) −22.1380 27.4231i −0.0109544 0.0135696i
\(22\) 1884.37 907.467i 0.830062 0.399737i
\(23\) 113.036 1508.36i 0.0445550 0.594545i −0.929586 0.368605i \(-0.879836\pi\)
0.974141 0.225940i \(-0.0725453\pi\)
\(24\) −49.4928 + 15.2665i −0.0175394 + 0.00541018i
\(25\) −1270.18 + 391.800i −0.406458 + 0.125376i
\(26\) 161.429 2154.12i 0.0468325 0.624937i
\(27\) 119.019 57.3165i 0.0314200 0.0151311i
\(28\) −1943.48 + 950.252i −0.468474 + 0.229057i
\(29\) 429.722 + 206.943i 0.0948840 + 0.0456937i 0.480724 0.876872i \(-0.340374\pi\)
−0.385840 + 0.922566i \(0.626088\pi\)
\(30\) 22.5402 39.0408i 0.00457252 0.00791983i
\(31\) 626.100 + 1084.44i 0.117014 + 0.202675i 0.918583 0.395228i \(-0.129334\pi\)
−0.801569 + 0.597903i \(0.796001\pi\)
\(32\) 393.741 + 5254.10i 0.0679728 + 0.907034i
\(33\) −53.0840 135.256i −0.00848553 0.0216208i
\(34\) −1113.92 + 4880.39i −0.165255 + 0.724031i
\(35\) 1976.56 5125.88i 0.272734 0.707291i
\(36\) −902.044 3952.11i −0.116004 0.508245i
\(37\) −10672.5 + 7276.40i −1.28163 + 0.873800i −0.996410 0.0846622i \(-0.973019\pi\)
−0.285220 + 0.958462i \(0.592067\pi\)
\(38\) −47.1525 + 43.7512i −0.00529720 + 0.00491508i
\(39\) −148.394 22.3668i −0.0156226 0.00235473i
\(40\) −5918.36 5491.44i −0.584859 0.542670i
\(41\) 299.854 + 376.006i 0.0278581 + 0.0349329i 0.795565 0.605868i \(-0.207174\pi\)
−0.767707 + 0.640801i \(0.778603\pi\)
\(42\) −51.1505 128.078i −0.00447431 0.0112034i
\(43\) −10855.8 + 13612.8i −0.895348 + 1.12273i 0.0965040 + 0.995333i \(0.469234\pi\)
−0.991852 + 0.127398i \(0.959337\pi\)
\(44\) −8819.30 + 1329.30i −0.686756 + 0.103512i
\(45\) 8505.59 + 5799.01i 0.626142 + 0.426897i
\(46\) 2162.45 5509.84i 0.150679 0.383923i
\(47\) 26997.0 + 8327.47i 1.78267 + 0.549880i 0.997582 0.0695048i \(-0.0221419\pi\)
0.785087 + 0.619385i \(0.212618\pi\)
\(48\) −57.5106 −0.00360284
\(49\) −8576.51 14454.0i −0.510294 0.860000i
\(50\) −5201.52 −0.294242
\(51\) 332.318 + 102.507i 0.0178907 + 0.00551856i
\(52\) −3365.41 + 8574.94i −0.172596 + 0.439767i
\(53\) 3576.61 + 2438.49i 0.174897 + 0.119243i 0.647604 0.761977i \(-0.275771\pi\)
−0.472708 + 0.881219i \(0.656723\pi\)
\(54\) 511.159 77.0448i 0.0238546 0.00359550i
\(55\) 14121.6 17707.9i 0.629472 0.789333i
\(56\) −24401.2 + 3826.86i −1.03978 + 0.163069i
\(57\) 2.78617 + 3.49375i 0.000113585 + 0.000142431i
\(58\) 1368.17 + 1269.48i 0.0534036 + 0.0495513i
\(59\) −4156.65 626.514i −0.155458 0.0234315i 0.0708520 0.997487i \(-0.477428\pi\)
−0.226310 + 0.974055i \(0.572666\pi\)
\(60\) −140.922 + 130.756i −0.00505358 + 0.00468904i
\(61\) 32451.1 22124.8i 1.11662 0.761298i 0.143055 0.989715i \(-0.454307\pi\)
0.973563 + 0.228417i \(0.0733550\pi\)
\(62\) 1090.37 + 4777.20i 0.0360241 + 0.157832i
\(63\) 30038.3 9462.15i 0.953508 0.300358i
\(64\) −6094.27 + 26700.7i −0.185982 + 0.814842i
\(65\) −8546.35 21775.7i −0.250898 0.639278i
\(66\) −42.4902 566.992i −0.00120068 0.0160220i
\(67\) 3066.53 + 5311.38i 0.0834564 + 0.144551i 0.904732 0.425980i \(-0.140071\pi\)
−0.821276 + 0.570531i \(0.806737\pi\)
\(68\) 10673.5 18487.0i 0.279920 0.484836i
\(69\) −370.481 178.414i −0.00936792 0.00451135i
\(70\) 13303.3 16887.4i 0.324499 0.411925i
\(71\) 35798.0 17239.4i 0.842777 0.405860i 0.0378852 0.999282i \(-0.487938\pi\)
0.804891 + 0.593422i \(0.202224\pi\)
\(72\) 3458.69 46153.0i 0.0786286 1.04923i
\(73\) 79796.1 24613.8i 1.75257 0.540595i 0.758726 0.651410i \(-0.225822\pi\)
0.993841 + 0.110814i \(0.0353458\pi\)
\(74\) −48300.6 + 14898.8i −1.02535 + 0.316280i
\(75\) −27.0044 + 360.348i −0.000554346 + 0.00739723i
\(76\) 247.135 119.014i 0.00490796 0.00236355i
\(77\) −15821.2 67460.2i −0.304098 1.29664i
\(78\) −529.092 254.797i −0.00984679 0.00474196i
\(79\) −24456.2 + 42359.4i −0.440881 + 0.763628i −0.997755 0.0669689i \(-0.978667\pi\)
0.556874 + 0.830597i \(0.312001\pi\)
\(80\) −4482.36 7763.67i −0.0783035 0.135626i
\(81\) 4408.71 + 58830.2i 0.0746619 + 0.996294i
\(82\) 687.555 + 1751.86i 0.0112921 + 0.0287717i
\(83\) −20680.9 + 90609.0i −0.329515 + 1.44370i 0.490543 + 0.871417i \(0.336798\pi\)
−0.820058 + 0.572281i \(0.806059\pi\)
\(84\) 47.4469 + 586.200i 0.000733686 + 0.00906457i
\(85\) 12062.8 + 52850.7i 0.181093 + 0.793421i
\(86\) −56294.6 + 38381.0i −0.820769 + 0.559591i
\(87\) 95.0493 88.1929i 0.00134633 0.00124921i
\(88\) −100692. 15176.8i −1.38608 0.208917i
\(89\) −37854.4 35123.8i −0.506572 0.470031i 0.384995 0.922919i \(-0.374203\pi\)
−0.891567 + 0.452888i \(0.850394\pi\)
\(90\) 25116.3 + 31494.9i 0.326851 + 0.409858i
\(91\) −68510.5 20686.0i −0.867268 0.261863i
\(92\) −15737.4 + 19734.0i −0.193848 + 0.243078i
\(93\) 336.613 50.7363i 0.00403575 0.000608291i
\(94\) 91345.0 + 62278.0i 1.06627 + 0.726967i
\(95\) −254.487 + 648.422i −0.00289305 + 0.00737138i
\(96\) 1368.72 + 422.194i 0.0151578 + 0.00467556i
\(97\) −61296.3 −0.661462 −0.330731 0.943725i \(-0.607295\pi\)
−0.330731 + 0.943725i \(0.607295\pi\)
\(98\) −15398.6 63940.4i −0.161963 0.672528i
\(99\) 129839. 1.33142
\(100\) 21195.7 + 6538.02i 0.211957 + 0.0653802i
\(101\) −28458.2 + 72510.2i −0.277590 + 0.707287i 0.722287 + 0.691593i \(0.243091\pi\)
−0.999877 + 0.0156939i \(0.995004\pi\)
\(102\) 1124.41 + 766.607i 0.0107010 + 0.00729579i
\(103\) −1332.95 + 200.910i −0.0123800 + 0.00186599i −0.155229 0.987878i \(-0.549612\pi\)
0.142849 + 0.989744i \(0.454374\pi\)
\(104\) −65573.6 + 82226.7i −0.594492 + 0.745469i
\(105\) −1100.85 1009.29i −0.00974442 0.00893394i
\(106\) 10561.4 + 13243.6i 0.0912974 + 0.114483i
\(107\) −147080. 136470.i −1.24192 1.15234i −0.982438 0.186588i \(-0.940257\pi\)
−0.259484 0.965747i \(-0.583552\pi\)
\(108\) −2179.77 328.547i −0.0179825 0.00271043i
\(109\) −49852.1 + 46256.0i −0.401899 + 0.372908i −0.855067 0.518517i \(-0.826484\pi\)
0.453168 + 0.891425i \(0.350294\pi\)
\(110\) 73229.7 49927.2i 0.577040 0.393419i
\(111\) 781.390 + 3423.49i 0.00601950 + 0.0263732i
\(112\) −27143.2 3925.77i −0.204464 0.0295719i
\(113\) −19967.4 + 87482.9i −0.147104 + 0.644506i 0.846577 + 0.532267i \(0.178660\pi\)
−0.993681 + 0.112240i \(0.964198\pi\)
\(114\) 6.38858 + 16.2778i 4.60408e−5 + 0.000117310i
\(115\) −4790.05 63918.8i −0.0337750 0.450696i
\(116\) −3979.52 6892.73i −0.0274591 0.0475605i
\(117\) 67050.5 116135.i 0.452832 0.784328i
\(118\) −14820.4 7137.12i −0.0979838 0.0471865i
\(119\) 149847. + 71064.5i 0.970017 + 0.460029i
\(120\) −1977.48 + 952.305i −0.0125360 + 0.00603703i
\(121\) 9312.52 124267.i 0.0578234 0.771600i
\(122\) 146864. 45301.6i 0.893338 0.275558i
\(123\) 124.934 38.5371i 0.000744592 0.000229676i
\(124\) 1561.53 20837.2i 0.00912005 0.121699i
\(125\) −170062. + 81897.6i −0.973492 + 0.468809i
\(126\) 123237. 734.994i 0.691533 0.00412437i
\(127\) 119664. + 57627.2i 0.658346 + 0.317043i 0.733062 0.680162i \(-0.238091\pi\)
−0.0747156 + 0.997205i \(0.523805\pi\)
\(128\) 30715.7 53201.2i 0.165705 0.287010i
\(129\) 2366.68 + 4099.21i 0.0125218 + 0.0216883i
\(130\) −6840.78 91283.8i −0.0355015 0.473735i
\(131\) −11304.1 28802.4i −0.0575516 0.146639i 0.899206 0.437526i \(-0.144145\pi\)
−0.956758 + 0.290886i \(0.906050\pi\)
\(132\) −539.534 + 2363.85i −0.00269516 + 0.0118083i
\(133\) 1076.50 + 1839.13i 0.00527696 + 0.00901536i
\(134\) 5340.42 + 23397.9i 0.0256929 + 0.112568i
\(135\) 4625.26 3153.45i 0.0218425 0.0148919i
\(136\) 178662. 165774.i 0.828293 0.768543i
\(137\) −202288. 30490.0i −0.920807 0.138789i −0.328502 0.944503i \(-0.606544\pi\)
−0.592305 + 0.805714i \(0.701782\pi\)
\(138\) −1179.56 1094.47i −0.00527255 0.00489221i
\(139\) 188808. + 236758.i 0.828865 + 1.03936i 0.998548 + 0.0538656i \(0.0171542\pi\)
−0.169683 + 0.985499i \(0.554274\pi\)
\(140\) −75436.3 + 52093.3i −0.325282 + 0.224627i
\(141\) 4788.69 6004.83i 0.0202847 0.0254362i
\(142\) 153744. 23173.2i 0.639849 0.0964417i
\(143\) −243777. 166204.i −0.996902 0.679677i
\(144\) 18775.2 47838.4i 0.0754533 0.192252i
\(145\) 19313.7 + 5957.50i 0.0762863 + 0.0235312i
\(146\) 326773. 1.26871
\(147\) −4509.58 + 734.823i −0.0172124 + 0.00280472i
\(148\) 215548. 0.808890
\(149\) −324230. 100012.i −1.19643 0.369050i −0.368365 0.929681i \(-0.620082\pi\)
−0.828065 + 0.560632i \(0.810558\pi\)
\(150\) −516.612 + 1316.31i −0.00187472 + 0.00477671i
\(151\) −182753. 124599.i −0.652263 0.444705i 0.191448 0.981503i \(-0.438682\pi\)
−0.843711 + 0.536797i \(0.819634\pi\)
\(152\) 3096.75 466.761i 0.0108717 0.00163865i
\(153\) −193757. + 242964.i −0.669158 + 0.839098i
\(154\) 18649.8 270503.i 0.0633683 0.919117i
\(155\) 33084.7 + 41486.9i 0.110611 + 0.138702i
\(156\) 1835.74 + 1703.32i 0.00603948 + 0.00560381i
\(157\) 408645. + 61593.3i 1.32311 + 0.199427i 0.772330 0.635222i \(-0.219091\pi\)
0.550783 + 0.834649i \(0.314329\pi\)
\(158\) −140308. + 130186.i −0.447135 + 0.414881i
\(159\) 972.316 662.914i 0.00305011 0.00207953i
\(160\) 49683.3 + 217677.i 0.153430 + 0.672221i
\(161\) −162677. 109496.i −0.494608 0.332914i
\(162\) −51370.6 + 225069.i −0.153790 + 0.673797i
\(163\) 25389.5 + 64691.4i 0.0748488 + 0.190712i 0.963401 0.268063i \(-0.0863836\pi\)
−0.888552 + 0.458775i \(0.848288\pi\)
\(164\) −599.735 8002.90i −0.00174120 0.0232347i
\(165\) −3078.65 5332.37i −0.00880339 0.0152479i
\(166\) −181843. + 314961.i −0.512185 + 0.887130i
\(167\) −252504. 121599.i −0.700611 0.337396i 0.0494395 0.998777i \(-0.484256\pi\)
−0.750050 + 0.661381i \(0.769971\pi\)
\(168\) −1455.08 + 6555.09i −0.00397754 + 0.0179187i
\(169\) 59971.2 28880.6i 0.161520 0.0777838i
\(170\) −15852.7 + 211539.i −0.0420707 + 0.561394i
\(171\) −3815.75 + 1177.00i −0.00997907 + 0.00307814i
\(172\) 277639. 85640.1i 0.715581 0.220727i
\(173\) 28332.6 378072.i 0.0719732 0.960416i −0.837979 0.545703i \(-0.816263\pi\)
0.909952 0.414713i \(-0.136118\pi\)
\(174\) 457.143 220.148i 0.00114467 0.000551242i
\(175\) −37343.2 + 168230.i −0.0921757 + 0.415248i
\(176\) −101871. 49058.6i −0.247896 0.119380i
\(177\) −571.383 + 989.665i −0.00137086 + 0.00237441i
\(178\) −101037. 175001.i −0.239018 0.413990i
\(179\) 36693.2 + 489637.i 0.0855959 + 1.14220i 0.860270 + 0.509838i \(0.170295\pi\)
−0.774675 + 0.632360i \(0.782086\pi\)
\(180\) −62759.5 159909.i −0.144377 0.367867i
\(181\) 180700. 791698.i 0.409979 1.79624i −0.174311 0.984691i \(-0.555770\pi\)
0.584290 0.811545i \(-0.301373\pi\)
\(182\) −232322. 156373.i −0.519891 0.349932i
\(183\) −2375.91 10409.6i −0.00524449 0.0229776i
\(184\) −238105. + 162337.i −0.518470 + 0.353487i
\(185\) −401255. + 372310.i −0.861968 + 0.799789i
\(186\) 1317.22 + 198.539i 0.00279175 + 0.000420789i
\(187\) 501208. + 465053.i 1.04813 + 0.972521i
\(188\) −293943. 368593.i −0.606553 0.760593i
\(189\) 1177.94 17085.3i 0.00239866 0.0347910i
\(190\) −1699.51 + 2131.12i −0.00341539 + 0.00428276i
\(191\) 471776. 71108.7i 0.935733 0.141039i 0.336563 0.941661i \(-0.390735\pi\)
0.599170 + 0.800622i \(0.295497\pi\)
\(192\) 6151.66 + 4194.13i 0.0120431 + 0.00821086i
\(193\) −135903. + 346275.i −0.262625 + 0.669157i −0.999980 0.00634809i \(-0.997979\pi\)
0.737355 + 0.675506i \(0.236075\pi\)
\(194\) −229206. 70700.7i −0.437242 0.134871i
\(195\) −6359.43 −0.0119765
\(196\) −17621.5 + 279907.i −0.0327644 + 0.520443i
\(197\) −847701. −1.55624 −0.778121 0.628114i \(-0.783827\pi\)
−0.778121 + 0.628114i \(0.783827\pi\)
\(198\) 485507. + 149759.i 0.880101 + 0.271475i
\(199\) −193055. + 491896.i −0.345580 + 0.880523i 0.647391 + 0.762158i \(0.275860\pi\)
−0.992970 + 0.118364i \(0.962235\pi\)
\(200\) 209243. + 142659.i 0.369892 + 0.252188i
\(201\) 1648.67 248.498i 0.00287836 0.000433842i
\(202\) −190049. + 238314.i −0.327708 + 0.410933i
\(203\) 50880.5 35136.1i 0.0866586 0.0598430i
\(204\) −3618.28 4537.18i −0.00608732 0.00763326i
\(205\) 14939.6 + 13862.0i 0.0248288 + 0.0230378i
\(206\) −5216.06 786.195i −0.00856396 0.00129081i
\(207\) 269357. 249927.i 0.436921 0.405404i
\(208\) −96488.4 + 65784.7i −0.154638 + 0.105431i
\(209\) 1954.98 + 8565.34i 0.00309583 + 0.0135637i
\(210\) −2952.29 5043.80i −0.00461967 0.00789242i
\(211\) 205209. 899078.i 0.317314 1.39024i −0.524928 0.851146i \(-0.675908\pi\)
0.842243 0.539098i \(-0.181235\pi\)
\(212\) −26390.5 67241.8i −0.0403281 0.102754i
\(213\) −807.198 10771.3i −0.00121908 0.0162674i
\(214\) −392570. 679951.i −0.585980 1.01495i
\(215\) −368916. + 638982.i −0.544292 + 0.942741i
\(216\) −22675.6 10920.0i −0.0330692 0.0159253i
\(217\) 162334. 968.178i 0.234025 0.00139574i
\(218\) −239765. + 115465.i −0.341700 + 0.164554i
\(219\) 1696.48 22638.0i 0.00239023 0.0318954i
\(220\) −361161. + 111403.i −0.503088 + 0.155182i
\(221\) 674801. 208148.i 0.929383 0.286677i
\(222\) −1026.88 + 13702.8i −0.00139842 + 0.0186606i
\(223\) 1.22098e6 587995.i 1.64417 0.791792i 0.644544 0.764567i \(-0.277047\pi\)
0.999629 0.0272245i \(-0.00866690\pi\)
\(224\) 617174. + 292694.i 0.821840 + 0.389756i
\(225\) −290929. 140104.i −0.383116 0.184499i
\(226\) −175569. + 304095.i −0.228653 + 0.396039i
\(227\) 455976. + 789774.i 0.587324 + 1.01727i 0.994581 + 0.103961i \(0.0331517\pi\)
−0.407258 + 0.913313i \(0.633515\pi\)
\(228\) −5.57258 74.3609i −7.09936e−6 9.47344e-5i
\(229\) −65867.5 167828.i −0.0830009 0.211483i 0.883348 0.468718i \(-0.155284\pi\)
−0.966349 + 0.257235i \(0.917189\pi\)
\(230\) 55814.0 244537.i 0.0695703 0.304807i
\(231\) −18643.0 2696.36i −0.0229872 0.00332467i
\(232\) −20220.5 88591.7i −0.0246645 0.108062i
\(233\) −163293. + 111332.i −0.197051 + 0.134347i −0.657826 0.753170i \(-0.728524\pi\)
0.460775 + 0.887517i \(0.347571\pi\)
\(234\) 384675. 356927.i 0.459256 0.426127i
\(235\) 1.18385e6 + 178437.i 1.39839 + 0.210773i
\(236\) 51420.8 + 47711.5i 0.0600978 + 0.0557626i
\(237\) 8290.57 + 10396.0i 0.00958767 + 0.0120226i
\(238\) 478355. + 438569.i 0.547404 + 0.501875i
\(239\) 495044. 620766.i 0.560595 0.702964i −0.418073 0.908414i \(-0.637294\pi\)
0.978668 + 0.205450i \(0.0658656\pi\)
\(240\) −2409.87 + 363.230i −0.00270064 + 0.000407056i
\(241\) −1.40981e6 961191.i −1.56357 1.06602i −0.964069 0.265651i \(-0.914413\pi\)
−0.599502 0.800373i \(-0.704635\pi\)
\(242\) 178155. 453931.i 0.195551 0.498255i
\(243\) 46000.0 + 14189.1i 0.0499737 + 0.0154149i
\(244\) −655400. −0.704745
\(245\) −450673. 551500.i −0.479674 0.586990i
\(246\) 511.617 0.000539023
\(247\) 8670.89 + 2674.62i 0.00904319 + 0.00278945i
\(248\) 87159.4 222078.i 0.0899881 0.229286i
\(249\) 20875.7 + 14232.8i 0.0213374 + 0.0145476i
\(250\) −730378. + 110087.i −0.739091 + 0.111400i
\(251\) 747229. 936995.i 0.748633 0.938757i −0.250939 0.968003i \(-0.580739\pi\)
0.999572 + 0.0292464i \(0.00931074\pi\)
\(252\) −503102. 151906.i −0.499062 0.150687i
\(253\) −504056. 632067.i −0.495083 0.620814i
\(254\) 380992. + 353509.i 0.370537 + 0.343808i
\(255\) 14572.6 + 2196.46i 0.0140341 + 0.00211531i
\(256\) 818663. 759609.i 0.780738 0.724419i
\(257\) 1.36243e6 928889.i 1.28671 0.877265i 0.289900 0.957057i \(-0.406378\pi\)
0.996812 + 0.0797915i \(0.0254254\pi\)
\(258\) 4121.62 + 18058.0i 0.00385495 + 0.0168896i
\(259\) 135099. + 1.66912e6i 0.125142 + 1.54610i
\(260\) −86863.1 + 380572.i −0.0796897 + 0.349143i
\(261\) 42330.3 + 107856.i 0.0384636 + 0.0980036i
\(262\) −9048.17 120739.i −0.00814343 0.108667i
\(263\) 615874. + 1.06673e6i 0.549038 + 0.950962i 0.998341 + 0.0575825i \(0.0183392\pi\)
−0.449302 + 0.893380i \(0.648327\pi\)
\(264\) −13841.3 + 23973.9i −0.0122227 + 0.0211704i
\(265\) 165272. + 79591.0i 0.144573 + 0.0696224i
\(266\) 1904.06 + 8118.74i 0.00164997 + 0.00703533i
\(267\) −12648.2 + 6091.04i −0.0108580 + 0.00522893i
\(268\) 7648.12 102057.i 0.00650456 0.0867973i
\(269\) −1.05771e6 + 326259.i −0.891219 + 0.274905i −0.706354 0.707859i \(-0.749661\pi\)
−0.184866 + 0.982764i \(0.559185\pi\)
\(270\) 20932.6 6456.84i 0.0174748 0.00539027i
\(271\) −13663.6 + 182329.i −0.0113017 + 0.150810i 0.988698 + 0.149921i \(0.0479021\pi\)
−1.00000 0.000889092i \(0.999717\pi\)
\(272\) 243824. 117419.i 0.199827 0.0962315i
\(273\) −12039.3 + 15282.9i −0.00977673 + 0.0124108i
\(274\) −721250. 347336.i −0.580376 0.279494i
\(275\) −355224. + 615266.i −0.283250 + 0.490604i
\(276\) 3430.90 + 5942.50i 0.00271104 + 0.00469566i
\(277\) 57773.6 + 770936.i 0.0452408 + 0.603697i 0.973043 + 0.230624i \(0.0740767\pi\)
−0.927802 + 0.373073i \(0.878304\pi\)
\(278\) 432930. + 1.10309e6i 0.335974 + 0.856048i
\(279\) −67689.0 + 296565.i −0.0520604 + 0.228092i
\(280\) −998317. + 314472.i −0.760980 + 0.239711i
\(281\) −56552.6 247773.i −0.0427254 0.187192i 0.949062 0.315089i \(-0.102034\pi\)
−0.991787 + 0.127897i \(0.959177\pi\)
\(282\) 24832.5 16930.5i 0.0185951 0.0126779i
\(283\) −1.24712e6 + 1.15716e6i −0.925643 + 0.858872i −0.990287 0.139037i \(-0.955599\pi\)
0.0646437 + 0.997908i \(0.479409\pi\)
\(284\) −655621. 98819.0i −0.482344 0.0727017i
\(285\) 138.815 + 128.802i 0.000101234 + 9.39312e-5i
\(286\) −719854. 902668.i −0.520390 0.652549i
\(287\) 61595.6 9660.09i 0.0441413 0.00692272i
\(288\) −798028. + 1.00070e6i −0.566940 + 0.710920i
\(289\) −214194. + 32284.5i −0.150856 + 0.0227379i
\(290\) 65348.6 + 44553.9i 0.0456290 + 0.0311093i
\(291\) −6087.92 + 15511.8i −0.00421441 + 0.0107381i
\(292\) −1.33157e6 410735.i −0.913918 0.281906i
\(293\) −637813. −0.434035 −0.217017 0.976168i \(-0.569633\pi\)
−0.217017 + 0.976168i \(0.569633\pi\)
\(294\) −17710.3 2453.72i −0.0119497 0.00165561i
\(295\) −178134. −0.119177
\(296\) 2.35162e6 + 725379.i 1.56005 + 0.481211i
\(297\) 25794.9 65724.4i 0.0169685 0.0432350i
\(298\) −1.09704e6 747949.i −0.715619 0.487901i
\(299\) −825657. + 124448.i −0.534099 + 0.0805025i
\(300\) 3759.67 4714.48i 0.00241183 0.00302434i
\(301\) 837181. + 2.09625e6i 0.532602 + 1.33361i
\(302\) −539656. 676707.i −0.340486 0.426956i
\(303\) 15523.1 + 14403.4i 0.00971343 + 0.00901275i
\(304\) 3438.56 + 518.279i 0.00213399 + 0.000321647i
\(305\) 1.22007e6 1.13206e6i 0.750989 0.696816i
\(306\) −1.00476e6 + 685033.i −0.613420 + 0.418223i
\(307\) −278180. 1.21878e6i −0.168453 0.738042i −0.986617 0.163056i \(-0.947865\pi\)
0.818164 0.574986i \(-0.194992\pi\)
\(308\) −416004. + 1.07884e6i −0.249874 + 0.648006i
\(309\) −81.5454 + 357.274i −4.85851e−5 + 0.000212865i
\(310\) 75862.0 + 193293.i 0.0448353 + 0.114238i
\(311\) −96033.5 1.28148e6i −0.0563017 0.751294i −0.951896 0.306422i \(-0.900868\pi\)
0.895594 0.444872i \(-0.146751\pi\)
\(312\) 14295.7 + 24760.9i 0.00831418 + 0.0144006i
\(313\) −1.56482e6 + 2.71036e6i −0.902828 + 1.56374i −0.0790210 + 0.996873i \(0.525179\pi\)
−0.823807 + 0.566871i \(0.808154\pi\)
\(314\) 1.45701e6 + 701657.i 0.833945 + 0.401607i
\(315\) 1.19894e6 586212.i 0.680801 0.332873i
\(316\) 735379. 354140.i 0.414279 0.199506i
\(317\) 31991.7 426899.i 0.0178809 0.238604i −0.981101 0.193495i \(-0.938018\pi\)
0.998982 0.0451086i \(-0.0143634\pi\)
\(318\) 4400.42 1357.35i 0.00244020 0.000752703i
\(319\) 243597. 75139.7i 0.134028 0.0413421i
\(320\) −86730.3 + 1.15734e6i −0.0473474 + 0.631807i
\(321\) −49143.4 + 23666.2i −0.0266196 + 0.0128193i
\(322\) −482004. 597074.i −0.259066 0.320914i
\(323\) −18945.5 9123.68i −0.0101042 0.00486590i
\(324\) 492231. 852568.i 0.260499 0.451198i
\(325\) 366885. + 635464.i 0.192673 + 0.333720i
\(326\) 20322.6 + 271186.i 0.0105909 + 0.141326i
\(327\) 6754.34 + 17209.8i 0.00349312 + 0.00890033i
\(328\) 20388.9 89329.7i 0.0104643 0.0458470i
\(329\) 2.67001e6 2.50721e6i 1.35995 1.27703i
\(330\) −5361.53 23490.4i −0.00271022 0.0118742i
\(331\) 1.66305e6 1.13385e6i 0.834327 0.568834i −0.0690840 0.997611i \(-0.522008\pi\)
0.903411 + 0.428777i \(0.141055\pi\)
\(332\) 1.13688e6 1.05487e6i 0.566071 0.525237i
\(333\) −3.10283e6 467676.i −1.53337 0.231118i
\(334\) −803935. 745942.i −0.394325 0.365880i
\(335\) 162043. + 203196.i 0.0788894 + 0.0989241i
\(336\) −3689.31 + 6479.01i −0.00178278 + 0.00313084i
\(337\) 254041. 318557.i 0.121851 0.152796i −0.717164 0.696904i \(-0.754560\pi\)
0.839015 + 0.544108i \(0.183132\pi\)
\(338\) 257563. 38821.3i 0.122628 0.0184832i
\(339\) 20155.4 + 13741.8i 0.00952562 + 0.00649446i
\(340\) 330491. 842077.i 0.155047 0.395052i
\(341\) 639539. + 197272.i 0.297838 + 0.0918710i
\(342\) −15625.9 −0.00722402
\(343\) −2.17854e6 + 38982.8i −0.999840 + 0.0178911i
\(344\) 3.31723e6 1.51140
\(345\) −16651.2 5136.20i −0.00753176 0.00232324i
\(346\) 542022. 1.38105e6i 0.243403 0.620182i
\(347\) −935472. 637794.i −0.417068 0.284352i 0.336549 0.941666i \(-0.390740\pi\)
−0.753617 + 0.657314i \(0.771693\pi\)
\(348\) −2139.53 + 322.482i −0.000947045 + 0.000142744i
\(349\) −870920. + 1.09210e6i −0.382749 + 0.479952i −0.935466 0.353417i \(-0.885020\pi\)
0.552717 + 0.833369i \(0.313591\pi\)
\(350\) −333678. + 585991.i −0.145599 + 0.255694i
\(351\) −45466.7 57013.4i −0.0196981 0.0247007i
\(352\) 2.06433e6 + 1.91542e6i 0.888019 + 0.823961i
\(353\) −2.48610e6 374720.i −1.06190 0.160055i −0.405214 0.914222i \(-0.632803\pi\)
−0.656683 + 0.754167i \(0.728041\pi\)
\(354\) −3278.08 + 3041.62i −0.00139031 + 0.00129002i
\(355\) 1.39116e6 948480.i 0.585879 0.399445i
\(356\) 191750. + 840111.i 0.0801882 + 0.351327i
\(357\) 32866.4 30862.4i 0.0136484 0.0128162i
\(358\) −427552. + 1.87323e6i −0.176312 + 0.772472i
\(359\) −953660. 2.42989e6i −0.390533 0.995061i −0.982025 0.188750i \(-0.939556\pi\)
0.591492 0.806311i \(-0.298539\pi\)
\(360\) −146567. 1.95580e6i −0.0596047 0.795369i
\(361\) 1.23791e6 + 2.14413e6i 0.499945 + 0.865931i
\(362\) 1.58886e6 2.75198e6i 0.637255 1.10376i
\(363\) −30522.3 14698.8i −0.0121577 0.00585483i
\(364\) 750141. + 929223.i 0.296749 + 0.367593i
\(365\) 3.18825e6 1.53538e6i 1.25262 0.603231i
\(366\) 3122.36 41665.0i 0.00121837 0.0162581i
\(367\) 2.02306e6 624031.i 0.784049 0.241847i 0.123216 0.992380i \(-0.460679\pi\)
0.660833 + 0.750533i \(0.270203\pi\)
\(368\) −305771. + 94317.8i −0.117700 + 0.0363056i
\(369\) −8730.74 + 116504.i −0.00333799 + 0.0445424i
\(370\) −1.92985e6 + 929366.i −0.732857 + 0.352925i
\(371\) 504155. 246503.i 0.190164 0.0929796i
\(372\) −5118.02 2464.71i −0.00191754 0.000923438i
\(373\) −249222. + 431665.i −0.0927500 + 0.160648i −0.908667 0.417521i \(-0.862899\pi\)
0.815917 + 0.578169i \(0.196232\pi\)
\(374\) 1.33777e6 + 2.31709e6i 0.494541 + 0.856570i
\(375\) 3834.68 + 51170.3i 0.00140816 + 0.0187906i
\(376\) −1.96649e6 5.01054e6i −0.717336 1.82774i
\(377\) 58587.7 256690.i 0.0212302 0.0930154i
\(378\) 24111.2 62528.4i 0.00867941 0.0225086i
\(379\) −156107. 683950.i −0.0558245 0.244583i 0.939315 0.343055i \(-0.111462\pi\)
−0.995140 + 0.0984718i \(0.968605\pi\)
\(380\) 9604.06 6547.94i 0.00341190 0.00232619i
\(381\) 26468.2 24558.9i 0.00934140 0.00866755i
\(382\) 1.84613e6 + 278260.i 0.647299 + 0.0975646i
\(383\) 3.24553e6 + 3.01141e6i 1.13055 + 1.04899i 0.998330 + 0.0577729i \(0.0183999\pi\)
0.132217 + 0.991221i \(0.457791\pi\)
\(384\) −10412.5 13056.9i −0.00360353 0.00451868i
\(385\) −1.08903e6 2.72687e6i −0.374445 0.937589i
\(386\) −907586. + 1.13808e6i −0.310041 + 0.388780i
\(387\) −4.18244e6 + 630401.i −1.41956 + 0.213964i
\(388\) 845128. + 576199.i 0.284999 + 0.194309i
\(389\) −986957. + 2.51473e6i −0.330693 + 0.842591i 0.664736 + 0.747079i \(0.268544\pi\)
−0.995428 + 0.0955123i \(0.969551\pi\)
\(390\) −23779.9 7335.12i −0.00791677 0.00244200i
\(391\) 1.93497e6 0.640077
\(392\) −1.13422e6 + 2.99448e6i −0.372804 + 0.984251i
\(393\) −8411.50 −0.00274721
\(394\) −3.16982e6 977760.i −1.02871 0.317316i
\(395\) −757254. + 1.92945e6i −0.244202 + 0.622216i
\(396\) −1.79016e6 1.22051e6i −0.573659 0.391114i
\(397\) −1.57924e6 + 238032.i −0.502888 + 0.0757982i −0.395587 0.918428i \(-0.629459\pi\)
−0.107301 + 0.994227i \(0.534221\pi\)
\(398\) −1.28926e6 + 1.61668e6i −0.407974 + 0.511583i
\(399\) 572.331 89.7591i 0.000179976 2.82258e-5i
\(400\) 175325. + 219851.i 0.0547890 + 0.0687033i
\(401\) −2.61187e6 2.42346e6i −0.811130 0.752619i 0.161027 0.986950i \(-0.448520\pi\)
−0.972157 + 0.234331i \(0.924710\pi\)
\(402\) 6451.53 + 972.411i 0.00199112 + 0.000300113i
\(403\) 506717. 470165.i 0.155419 0.144207i
\(404\) 1.07398e6 732228.i 0.327373 0.223199i
\(405\) 556303. + 2.43732e6i 0.168529 + 0.738373i
\(406\) 230785. 72697.9i 0.0694852 0.0218880i
\(407\) −1.53625e6 + 6.73075e6i −0.459701 + 2.01408i
\(408\) −24206.4 61677.0i −0.00719914 0.0183431i
\(409\) −298656. 3.98529e6i −0.0882801 1.17802i −0.848805 0.528707i \(-0.822677\pi\)
0.760524 0.649309i \(-0.224942\pi\)
\(410\) 39875.3 + 69066.0i 0.0117150 + 0.0202910i
\(411\) −27807.0 + 48163.1i −0.00811988 + 0.0140640i
\(412\) 20266.8 + 9759.98i 0.00588223 + 0.00283273i
\(413\) −337232. + 428088.i −0.0972866 + 0.123497i
\(414\) 1.29548e6 623872.i 0.371476 0.178894i
\(415\) −294319. + 3.92742e6i −0.0838878 + 1.11940i
\(416\) 2.77930e6 857302.i 0.787413 0.242885i
\(417\) 78666.8 24265.5i 0.0221540 0.00683359i
\(418\) −2569.18 + 34283.4i −0.000719208 + 0.00959717i
\(419\) 304190. 146490.i 0.0846466 0.0407637i −0.391081 0.920356i \(-0.627899\pi\)
0.475728 + 0.879592i \(0.342185\pi\)
\(420\) 5690.54 + 24263.9i 0.00157409 + 0.00671178i
\(421\) −4.31204e6 2.07657e6i −1.18571 0.571006i −0.266138 0.963935i \(-0.585748\pi\)
−0.919569 + 0.392929i \(0.871462\pi\)
\(422\) 1.80436e6 3.12524e6i 0.493221 0.854284i
\(423\) 3.43159e6 + 5.94369e6i 0.932491 + 1.61512i
\(424\) −61631.7 822417.i −0.0166490 0.222166i
\(425\) −621234. 1.58288e6i −0.166833 0.425084i
\(426\) 9405.53 41208.3i 0.00251107 0.0110017i
\(427\) −410784. 5.07517e6i −0.109029 1.34704i
\(428\) 745028. + 3.26418e6i 0.196591 + 0.861320i
\(429\) −66271.8 + 45183.3i −0.0173854 + 0.0118532i
\(430\) −2.11651e6 + 1.96384e6i −0.552013 + 0.512193i
\(431\) −4.30291e6 648559.i −1.11575 0.168173i −0.434820 0.900517i \(-0.643188\pi\)
−0.680934 + 0.732344i \(0.738426\pi\)
\(432\) −20485.8 19008.0i −0.00528133 0.00490036i
\(433\) 1.24443e6 + 1.56047e6i 0.318971 + 0.399977i 0.915306 0.402759i \(-0.131949\pi\)
−0.596335 + 0.802735i \(0.703377\pi\)
\(434\) 608136. + 183620.i 0.154980 + 0.0467947i
\(435\) 3425.85 4295.88i 0.000868050 0.00108850i
\(436\) 1.12216e6 169138.i 0.282707 0.0426113i
\(437\) 20543.2 + 14006.1i 0.00514594 + 0.00350844i
\(438\) 32454.9 82693.7i 0.00808342 0.0205962i
\(439\) 1.29904e6 + 400701.i 0.321708 + 0.0992337i 0.451403 0.892320i \(-0.350924\pi\)
−0.129695 + 0.991554i \(0.541400\pi\)
\(440\) −4.31515e6 −1.06259
\(441\) 860979. 3.99105e6i 0.210812 0.977215i
\(442\) 2.76337e6 0.672797
\(443\) −6.71151e6 2.07023e6i −1.62484 0.501197i −0.657240 0.753681i \(-0.728276\pi\)
−0.967601 + 0.252484i \(0.918752\pi\)
\(444\) 21408.1 54546.9i 0.00515372 0.0131315i
\(445\) −1.80806e6 1.23271e6i −0.432825 0.295095i
\(446\) 5.24384e6 790382.i 1.24828 0.188148i
\(447\) −57511.5 + 72117.1i −0.0136140 + 0.0170714i
\(448\) 2.61710e6 + 2.39942e6i 0.616062 + 0.564822i
\(449\) −3.20081e6 4.01369e6i −0.749280 0.939568i 0.250311 0.968166i \(-0.419467\pi\)
−0.999591 + 0.0285977i \(0.990896\pi\)
\(450\) −926273. 859456.i −0.215629 0.200075i
\(451\) 254175. + 38310.7i 0.0588425 + 0.00886908i
\(452\) 1.09766e6 1.01848e6i 0.252710 0.234480i
\(453\) −49682.2 + 33872.8i −0.0113751 + 0.00775542i
\(454\) 794092. + 3.47914e6i 0.180814 + 0.792196i
\(455\) −3.00145e6 434105.i −0.679678 0.0983029i
\(456\) 189.449 830.029i 4.26658e−5 0.000186931i
\(457\) 1.83484e6 + 4.67509e6i 0.410967 + 1.04713i 0.975163 + 0.221486i \(0.0710909\pi\)
−0.564196 + 0.825641i \(0.690814\pi\)
\(458\) −52722.5 703533.i −0.0117444 0.156719i
\(459\) 84494.8 + 146349.i 0.0187197 + 0.0324234i
\(460\) −534807. + 926313.i −0.117843 + 0.204109i
\(461\) 1.81859e6 + 875786.i 0.398550 + 0.191931i 0.622413 0.782689i \(-0.286153\pi\)
−0.223863 + 0.974621i \(0.571867\pi\)
\(462\) −66601.8 31585.8i −0.0145171 0.00688473i
\(463\) 779558. 375416.i 0.169004 0.0813879i −0.347469 0.937691i \(-0.612959\pi\)
0.516473 + 0.856303i \(0.327245\pi\)
\(464\) 7540.25 100618.i 0.00162589 0.0216960i
\(465\) 13784.7 4252.02i 0.00295641 0.000911933i
\(466\) −739018. + 227957.i −0.157649 + 0.0486281i
\(467\) 372246. 4.96727e6i 0.0789837 1.05396i −0.807093 0.590425i \(-0.798960\pi\)
0.886076 0.463539i \(-0.153421\pi\)
\(468\) −2.01616e6 + 970929.i −0.425510 + 0.204915i
\(469\) 795086. 4741.97i 0.166910 0.000995466i
\(470\) 4.22098e6 + 2.03272e6i 0.881392 + 0.424456i
\(471\) 56173.3 97295.0i 0.0116675 0.0202087i
\(472\) 400437. + 693577.i 0.0827330 + 0.143298i
\(473\) 695438. + 9.27998e6i 0.142924 + 1.90719i
\(474\) 19010.0 + 48436.6i 0.00388629 + 0.00990211i
\(475\) 4862.01 21301.9i 0.000988739 0.00433195i
\(476\) −1.39800e6 2.38840e6i −0.282807 0.483158i
\(477\) 233997. + 1.02521e6i 0.0470885 + 0.206308i
\(478\) 2.56713e6 1.75024e6i 0.513900 0.350371i
\(479\) 1.87563e6 1.74033e6i 0.373516 0.346572i −0.470970 0.882149i \(-0.656096\pi\)
0.844487 + 0.535577i \(0.179906\pi\)
\(480\) 60020.2 + 9046.58i 0.0118903 + 0.00179218i
\(481\) 5.22701e6 + 4.84996e6i 1.03013 + 0.955818i
\(482\) −4.16305e6 5.22030e6i −0.816196 1.02348i
\(483\) −43866.1 + 30292.2i −0.00855582 + 0.00590831i
\(484\) −1.29653e6 + 1.62580e6i −0.251576 + 0.315467i
\(485\) −2.56851e6 + 387140.i −0.495823 + 0.0747333i
\(486\) 155642. + 106115.i 0.0298907 + 0.0203791i
\(487\) −2.06587e6 + 5.26374e6i −0.394712 + 1.00571i 0.586011 + 0.810303i \(0.300698\pi\)
−0.980723 + 0.195405i \(0.937398\pi\)
\(488\) −7.15039e6 2.20560e6i −1.35919 0.419255i
\(489\) 18892.6 0.00357289
\(490\) −1.04909e6 2.58205e6i −0.197389 0.485819i
\(491\) 3.62735e6 0.679026 0.339513 0.940601i \(-0.389738\pi\)
0.339513 + 0.940601i \(0.389738\pi\)
\(492\) −2084.79 643.074i −0.000388285 0.000119770i
\(493\) −222911. + 567967.i −0.0413060 + 0.105246i
\(494\) 29338.2 + 20002.4i 0.00540899 + 0.00368779i
\(495\) 5.44064e6 820045.i 0.998015 0.150427i
\(496\) 165164. 207109.i 0.0301447 0.0378002i
\(497\) 354295. 5.13883e6i 0.0643390 0.933196i
\(498\) 61644.2 + 77299.3i 0.0111383 + 0.0139670i
\(499\) −1.79159e6 1.66235e6i −0.322097 0.298862i 0.502507 0.864573i \(-0.332411\pi\)
−0.824603 + 0.565711i \(0.808602\pi\)
\(500\) 3.11460e6 + 469450.i 0.557157 + 0.0839778i
\(501\) −55850.7 + 51821.9i −0.00994110 + 0.00922399i
\(502\) 3.87487e6 2.64184e6i 0.686275 0.467894i
\(503\) 157486. + 689990.i 0.0277537 + 0.121597i 0.986907 0.161289i \(-0.0515652\pi\)
−0.959153 + 0.282886i \(0.908708\pi\)
\(504\) −4.97762e6 3.35037e6i −0.872862 0.587512i
\(505\) −734521. + 3.21814e6i −0.128167 + 0.561535i
\(506\) −1.15578e6 2.94488e6i −0.200678 0.511319i
\(507\) −1352.27 18044.8i −0.000233638 0.00311769i
\(508\) −1.10817e6 1.91941e6i −0.190523 0.329995i
\(509\) 2.08873e6 3.61779e6i 0.357345 0.618940i −0.630171 0.776456i \(-0.717015\pi\)
0.987516 + 0.157516i \(0.0503487\pi\)
\(510\) 51958.0 + 25021.6i 0.00884559 + 0.00425981i
\(511\) 2.34600e6 1.05686e7i 0.397443 1.79047i
\(512\) 2.16626e6 1.04322e6i 0.365204 0.175873i
\(513\) −162.272 + 2165.37i −2.72239e−5 + 0.000363278i
\(514\) 6.16595e6 1.90194e6i 1.02942 0.317534i
\(515\) −54586.0 + 16837.5i −0.00906908 + 0.00279744i
\(516\) 5902.66 78765.5i 0.000975940 0.0130230i
\(517\) 1.36048e7 6.55171e6i 2.23854 1.07802i
\(518\) −1.42003e6 + 6.39720e6i −0.232527 + 1.04753i
\(519\) −92861.7 44719.8i −0.0151328 0.00728755i
\(520\) −2.22841e6 + 3.85971e6i −0.361398 + 0.625960i
\(521\) 4.80542e6 + 8.32323e6i 0.775599 + 1.34338i 0.934457 + 0.356075i \(0.115885\pi\)
−0.158859 + 0.987301i \(0.550781\pi\)
\(522\) 33882.5 + 452131.i 0.00544251 + 0.0726253i
\(523\) −616194. 1.57004e6i −0.0985061 0.250989i 0.873123 0.487501i \(-0.162091\pi\)
−0.971629 + 0.236511i \(0.923996\pi\)
\(524\) −114892. + 503376.i −0.0182794 + 0.0800874i
\(525\) 38863.7 + 26158.6i 0.00615383 + 0.00414207i
\(526\) 1.07256e6 + 4.69918e6i 0.169027 + 0.740556i
\(527\) −1.32353e6 + 902366.i −0.207590 + 0.141532i
\(528\) −22532.6 + 20907.2i −0.00351744 + 0.00326371i
\(529\) 4.10209e6 + 618291.i 0.637333 + 0.0960624i
\(530\) 526203. + 488245.i 0.0813698 + 0.0755002i
\(531\) −636686. 798379.i −0.0979916 0.122878i
\(532\) 2445.91 35476.5i 0.000374682 0.00543452i
\(533\) 165527. 207564.i 0.0252377 0.0316471i
\(534\) −54321.0 + 8187.57i −0.00824355 + 0.00124252i
\(535\) −7.02505e6 4.78959e6i −1.06112 0.723460i
\(536\) 426891. 1.08770e6i 0.0641808 0.163530i
\(537\) 127553. + 39344.8i 0.0190877 + 0.00588778i
\(538\) −4.33141e6 −0.645169
\(539\) −8.61485e6 2.54520e6i −1.27725 0.377355i
\(540\) −93414.3 −0.0137857
\(541\) 4.49825e6 + 1.38753e6i 0.660770 + 0.203821i 0.606962 0.794731i \(-0.292388\pi\)
0.0538080 + 0.998551i \(0.482864\pi\)
\(542\) −261395. + 666023.i −0.0382207 + 0.0973848i
\(543\) −182402. 124359.i −0.0265478 0.0181000i
\(544\) −6.66486e6 + 1.00457e6i −0.965592 + 0.145540i
\(545\) −1.79681e6 + 2.25313e6i −0.259126 + 0.324934i
\(546\) −62646.2 + 43261.0i −0.00899318 + 0.00621033i
\(547\) −8.11558e6 1.01766e7i −1.15972 1.45424i −0.867189 0.497980i \(-0.834075\pi\)
−0.292527 0.956257i \(-0.594496\pi\)
\(548\) 2.50245e6 + 2.32193e6i 0.355970 + 0.330292i
\(549\) 9.43452e6 + 1.42203e6i 1.33595 + 0.201362i
\(550\) −2.03795e6 + 1.89095e6i −0.287268 + 0.266546i
\(551\) −6477.78 + 4416.48i −0.000908965 + 0.000619722i
\(552\) 17432.9 + 76378.5i 0.00243513 + 0.0106690i
\(553\) 3.20324e6 + 5.47254e6i 0.445427 + 0.760985i
\(554\) −673183. + 2.94941e6i −0.0931877 + 0.408282i
\(555\) 54365.1 + 138520.i 0.00749182 + 0.0190889i
\(556\) −377633. 5.03916e6i −0.0518063 0.691307i
\(557\) −3.16880e6 5.48853e6i −0.432770 0.749580i 0.564340 0.825542i \(-0.309131\pi\)
−0.997111 + 0.0759621i \(0.975797\pi\)
\(558\) −595176. + 1.03087e6i −0.0809207 + 0.140159i
\(559\) 8.65966e6 + 4.17027e6i 1.17212 + 0.564462i
\(560\) −1.16218e6 + 6931.35i −0.156604 + 0.000934003i
\(561\) 167467. 80647.9i 0.0224658 0.0108190i
\(562\) 74319.8 991729.i 0.00992576 0.132450i
\(563\) −2.49456e6 + 769468.i −0.331682 + 0.102310i −0.456123 0.889917i \(-0.650762\pi\)
0.124441 + 0.992227i \(0.460286\pi\)
\(564\) −122471. + 37777.3i −0.0162120 + 0.00500073i
\(565\) −284165. + 3.79192e6i −0.0374498 + 0.499733i
\(566\) −5.99809e6 + 2.88853e6i −0.786994 + 0.378997i
\(567\) 6.91049e6 + 3.27729e6i 0.902716 + 0.428112i
\(568\) −6.82025e6 3.28446e6i −0.887013 0.427163i
\(569\) 1.53747e6 2.66298e6i 0.199079 0.344816i −0.749151 0.662400i \(-0.769538\pi\)
0.948230 + 0.317584i \(0.102871\pi\)
\(570\) 370.511 + 641.743i 4.77654e−5 + 8.27321e-5i
\(571\) −312001. 4.16337e6i −0.0400467 0.534386i −0.980764 0.195195i \(-0.937466\pi\)
0.940718 0.339190i \(-0.110153\pi\)
\(572\) 1.79874e6 + 4.58311e6i 0.229868 + 0.585693i
\(573\) 28861.6 126451.i 0.00367226 0.0160892i
\(574\) 241467. + 34923.8i 0.0305900 + 0.00442428i
\(575\) 447397. + 1.96018e6i 0.0564318 + 0.247244i
\(576\) −5.49706e6 + 3.74783e6i −0.690358 + 0.470678i
\(577\) −8.85156e6 + 8.21305e6i −1.10683 + 1.02699i −0.107366 + 0.994220i \(0.534242\pi\)
−0.999463 + 0.0327674i \(0.989568\pi\)
\(578\) −838175. 126335.i −0.104355 0.0157291i
\(579\) 74131.3 + 68783.8i 0.00918978 + 0.00852687i
\(580\) −210288. 263693.i −0.0259564 0.0325483i
\(581\) 8.88112e6 + 8.14245e6i 1.09151 + 1.00072i
\(582\) −40656.3 + 50981.4i −0.00497531 + 0.00623884i
\(583\) 2.28780e6 344830.i 0.278770 0.0420178i
\(584\) −1.31452e7 8.96222e6i −1.59490 1.08739i
\(585\) 2.07613e6 5.28990e6i 0.250822 0.639083i
\(586\) −2.38498e6 735669.i −0.286907 0.0884991i
\(587\) −9.71274e6 −1.16345 −0.581723 0.813387i \(-0.697621\pi\)
−0.581723 + 0.813387i \(0.697621\pi\)
\(588\) 69083.6 + 32259.5i 0.00824009 + 0.00384782i
\(589\) −20583.3 −0.00244471
\(590\) −666097. 205464.i −0.0787785 0.0242999i
\(591\) −84193.2 + 214521.i −0.00991536 + 0.0252639i
\(592\) 2.25776e6 + 1.53932e6i 0.264773 + 0.180519i
\(593\) −1.83294e6 + 276271.i −0.214048 + 0.0322626i −0.255191 0.966891i \(-0.582138\pi\)
0.0411426 + 0.999153i \(0.486900\pi\)
\(594\) 172263. 216011.i 0.0200321 0.0251195i
\(595\) 6.72788e6 + 2.03141e6i 0.779086 + 0.235237i
\(596\) 3.53021e6 + 4.42675e6i 0.407085 + 0.510469i
\(597\) 105306. + 97709.7i 0.0120925 + 0.0112202i
\(598\) −3.23093e6 486984.i −0.369466 0.0556881i
\(599\) −4.68572e6 + 4.34771e6i −0.533592 + 0.495101i −0.900321 0.435227i \(-0.856668\pi\)
0.366729 + 0.930328i \(0.380478\pi\)
\(600\) 56883.5 38782.5i 0.00645072 0.00439803i
\(601\) 1.45843e6 + 6.38978e6i 0.164702 + 0.721605i 0.988058 + 0.154081i \(0.0492417\pi\)
−0.823356 + 0.567525i \(0.807901\pi\)
\(602\) 712609. + 8.80417e6i 0.0801420 + 0.990141i
\(603\) −331529. + 1.45252e6i −0.0371303 + 0.162678i
\(604\) 1.34847e6 + 3.43584e6i 0.150400 + 0.383213i
\(605\) −394631. 5.26599e6i −0.0438332 0.584913i
\(606\) 41432.6 + 71763.4i 0.00458312 + 0.00793819i
\(607\) −8.32171e6 + 1.44136e7i −0.916728 + 1.58782i −0.112378 + 0.993666i \(0.535847\pi\)
−0.804351 + 0.594155i \(0.797487\pi\)
\(608\) −78031.0 37577.7i −0.00856068 0.00412260i
\(609\) −3838.18 16365.6i −0.000419355 0.00178809i
\(610\) 5.86794e6 2.82585e6i 0.638501 0.307486i
\(611\) 1.16548e6 1.55522e7i 0.126300 1.68535i
\(612\) 4.95535e6 1.52852e6i 0.534806 0.164966i
\(613\) 9.58986e6 2.95808e6i 1.03077 0.317950i 0.267176 0.963648i \(-0.413910\pi\)
0.763593 + 0.645698i \(0.223433\pi\)
\(614\) 365576. 4.87827e6i 0.0391342 0.522210i
\(615\) 4991.73 2403.89i 0.000532186 0.000256287i
\(616\) −8.16918e6 + 1.03701e7i −0.867414 + 1.10111i
\(617\) −1.61784e6 779113.i −0.171090 0.0823925i 0.346379 0.938095i \(-0.387411\pi\)
−0.517468 + 0.855702i \(0.673126\pi\)
\(618\) −717.012 + 1241.90i −7.55189e−5 + 0.000130803i
\(619\) −1.57895e6 2.73483e6i −0.165631 0.286882i 0.771248 0.636535i \(-0.219633\pi\)
−0.936879 + 0.349653i \(0.886300\pi\)
\(620\) −66172.2 883007.i −0.00691348 0.0922540i
\(621\) −73000.3 186002.i −0.00759619 0.0193548i
\(622\) 1.11899e6 4.90261e6i 0.115971 0.508103i
\(623\) −6.38533e6 + 2.01140e6i −0.659118 + 0.207624i
\(624\) 7064.42 + 30951.2i 0.000726298 + 0.00318212i
\(625\) −3.17680e6 + 2.16590e6i −0.325304 + 0.221788i
\(626\) −8.97756e6 + 8.32996e6i −0.915635 + 0.849585i
\(627\) 2361.73 + 355.973i 0.000239917 + 3.61617e-5i
\(628\) −5.05523e6 4.69057e6i −0.511496 0.474599i
\(629\) −1.03025e7 1.29190e7i −1.03829 1.30197i
\(630\) 5.15935e6 809146.i 0.517898 0.0812223i
\(631\) 680356. 853140.i 0.0680241 0.0852996i −0.746655 0.665211i \(-0.768342\pi\)
0.814679 + 0.579912i \(0.196913\pi\)
\(632\) 9.21474e6 1.38890e6i 0.917678 0.138318i
\(633\) −207141. 141226.i −0.0205474 0.0140090i
\(634\) 612023. 1.55941e6i 0.0604707 0.154077i
\(635\) 5.37826e6 + 1.65897e6i 0.529307 + 0.163270i
\(636\) −19637.4 −0.00192505
\(637\) −6.72540e6 + 6.39122e6i −0.656704 + 0.624073i
\(638\) 997552. 0.0970251
\(639\) 9.22330e6 + 2.84501e6i 0.893582 + 0.275633i
\(640\) 951073. 2.42329e6i 0.0917833 0.233860i
\(641\) 507522. + 346023.i 0.0487877 + 0.0332629i 0.587468 0.809247i \(-0.300125\pi\)
−0.538681 + 0.842510i \(0.681077\pi\)
\(642\) −211059. + 31812.1i −0.0202100 + 0.00304617i
\(643\) −4.67494e6 + 5.86219e6i −0.445912 + 0.559155i −0.953091 0.302685i \(-0.902117\pi\)
0.507179 + 0.861841i \(0.330688\pi\)
\(644\) 1.21364e6 + 3.03888e6i 0.115312 + 0.288734i
\(645\) 125061. + 156822.i 0.0118365 + 0.0148425i
\(646\) −60319.7 55968.5i −0.00568693 0.00527670i
\(647\) −1.52741e7 2.30219e6i −1.43448 0.216213i −0.614640 0.788808i \(-0.710699\pi\)
−0.819838 + 0.572595i \(0.805937\pi\)
\(648\) 8.23935e6 7.64500e6i 0.770825 0.715221i
\(649\) −1.85634e6 + 1.26563e6i −0.173000 + 0.117949i
\(650\) 638938. + 2.79937e6i 0.0593165 + 0.259882i
\(651\) 15878.0 41176.8i 0.00146839 0.00380803i
\(652\) 258053. 1.13060e6i 0.0237733 0.104158i
\(653\) 2.09301e6 + 5.33291e6i 0.192083 + 0.489420i 0.994175 0.107781i \(-0.0343746\pi\)
−0.802091 + 0.597201i \(0.796279\pi\)
\(654\) 5406.40 + 72143.4i 0.000494269 + 0.00659556i
\(655\) −655589. 1.13551e6i −0.0597075 0.103416i
\(656\) 50870.2 88109.7i 0.00461534 0.00799400i
\(657\) 1.82769e7 + 8.80168e6i 1.65192 + 0.795522i
\(658\) 1.28759e7 6.29558e6i 1.15934 0.566854i
\(659\) 1.53821e7 7.40765e6i 1.37976 0.664457i 0.410811 0.911721i \(-0.365246\pi\)
0.968948 + 0.247264i \(0.0795313\pi\)
\(660\) −7678.35 + 102460.i −0.000686133 + 0.00915581i
\(661\) 1.85271e7 5.71487e6i 1.64932 0.508748i 0.675749 0.737132i \(-0.263820\pi\)
0.973571 + 0.228384i \(0.0733442\pi\)
\(662\) 7.52648e6 2.32161e6i 0.667494 0.205895i
\(663\) 14346.4 191439.i 0.00126753 0.0169141i
\(664\) 1.59533e7 7.68271e6i 1.40421 0.676230i
\(665\) 56724.4 + 70266.3i 0.00497411 + 0.00616159i
\(666\) −1.10630e7 5.32766e6i −0.966468 0.465426i
\(667\) 360718. 624783.i 0.0313945 0.0543769i
\(668\) 2.33836e6 + 4.05015e6i 0.202754 + 0.351180i
\(669\) −27531.6 367384.i −0.00237830 0.0317362i
\(670\) 371559. + 946716.i 0.0319772 + 0.0814766i
\(671\) 4.67115e6 2.04657e7i 0.400514 1.75477i
\(672\) 135367. 127113.i 0.0115635 0.0108584i
\(673\) −4.22461e6 1.85092e7i −0.359541 1.57525i −0.754338 0.656486i \(-0.772042\pi\)
0.394797 0.918768i \(-0.370815\pi\)
\(674\) 1.31737e6 898168.i 0.111701 0.0761566i
\(675\) −128719. + 119434.i −0.0108739 + 0.0100895i
\(676\) −1.09834e6 165548.i −0.0924423 0.0139334i
\(677\) −9.80007e6 9.09313e6i −0.821783 0.762503i 0.152386 0.988321i \(-0.451304\pi\)
−0.974170 + 0.225818i \(0.927495\pi\)
\(678\) 59517.4 + 74632.5i 0.00497244 + 0.00623525i
\(679\) −3.93217e6 + 6.90550e6i −0.327309 + 0.574806i
\(680\) 6.43947e6 8.07484e6i 0.534045 0.669671i
\(681\) 245149. 36950.3i 0.0202564 0.00305316i
\(682\) 2.16390e6 + 1.47532e6i 0.178146 + 0.121458i
\(683\) 1.62600e6 4.14298e6i 0.133373 0.339830i −0.848548 0.529118i \(-0.822523\pi\)
0.981922 + 0.189288i \(0.0606181\pi\)
\(684\) 63674.1 + 19640.9i 0.00520382 + 0.00160517i
\(685\) −8.66907e6 −0.705905
\(686\) −8.19121e6 2.36701e6i −0.664565 0.192040i
\(687\) −49012.7 −0.00396202
\(688\) 3.51973e6 + 1.08569e6i 0.283490 + 0.0874452i
\(689\) 873016. 2.22441e6i 0.0700606 0.178512i
\(690\) −56339.6 38411.7i −0.00450496 0.00307143i
\(691\) −1.56990e7 + 2.36624e6i −1.25077 + 0.188523i −0.740832 0.671691i \(-0.765568\pi\)
−0.509934 + 0.860213i \(0.670330\pi\)
\(692\) −3.94460e6 + 4.94637e6i −0.313139 + 0.392664i
\(693\) 8.32917e6 1.46273e7i 0.658822 1.15700i
\(694\) −2.76237e6 3.46391e6i −0.217713 0.273003i
\(695\) 9.40699e6 + 8.72841e6i 0.738735 + 0.685446i
\(696\) −24427.5 3681.85i −0.00191142 0.000288100i
\(697\) −450993. + 418460.i −0.0351632 + 0.0326266i
\(698\) −4.51629e6 + 3.07916e6i −0.350868 + 0.239218i
\(699\) 11955.6 + 52380.7i 0.000925501 + 0.00405489i
\(700\) 2.09627e6 1.96845e6i 0.161697 0.151837i
\(701\) −4.27352e6 + 1.87235e7i −0.328466 + 1.43910i 0.493588 + 0.869696i \(0.335685\pi\)
−0.822054 + 0.569409i \(0.807172\pi\)
\(702\) −104253. 265633.i −0.00798449 0.0203442i
\(703\) −15867.2 211732.i −0.00121091 0.0161584i
\(704\) 7.31898e6 + 1.26768e7i 0.556569 + 0.964005i
\(705\) 162735. 281866.i 0.0123313 0.0213585i
\(706\) −8.86410e6 4.26873e6i −0.669303 0.322319i
\(707\) 6.34324e6 + 7.85758e6i 0.477268 + 0.591208i
\(708\) 17181.1 8273.96i 0.00128815 0.000620341i
\(709\) −949902. + 1.26756e7i −0.0709681 + 0.947003i 0.842133 + 0.539270i \(0.181300\pi\)
−0.913101 + 0.407733i \(0.866319\pi\)
\(710\) 6.29600e6 1.94206e6i 0.468726 0.144583i
\(711\) −1.13542e7 + 3.50231e6i −0.842331 + 0.259825i
\(712\) −735224. + 9.81088e6i −0.0543525 + 0.725284i
\(713\) 1.70649e6 821801.i 0.125713 0.0605401i
\(714\) 158495. 77495.1i 0.0116351 0.00568890i
\(715\) −1.12647e7 5.42482e6i −0.824055 0.396844i
\(716\) 4.09678e6 7.09583e6i 0.298648 0.517274i
\(717\) −107925. 186931.i −0.00784012 0.0135795i
\(718\) −763341. 1.01861e7i −0.0552595 0.737387i
\(719\) 3.49776e6 + 8.91215e6i 0.252329 + 0.642925i 0.999771 0.0214029i \(-0.00681327\pi\)
−0.747442 + 0.664328i \(0.768718\pi\)
\(720\) 484598. 2.12316e6i 0.0348378 0.152634i
\(721\) −62875.1 + 163056.i −0.00450443 + 0.0116815i
\(722\) 2.15585e6 + 9.44541e6i 0.153913 + 0.674339i
\(723\) −383262. + 261304.i −0.0272678 + 0.0185909i
\(724\) −9.93355e6 + 9.21698e6i −0.704300 + 0.653495i
\(725\) −626906. 94490.9i −0.0442953 0.00667644i
\(726\) −97178.5 90168.5i −0.00684272 0.00634911i
\(727\) −3.35621e6 4.20856e6i −0.235512 0.295323i 0.650005 0.759930i \(-0.274767\pi\)
−0.885517 + 0.464607i \(0.846195\pi\)
\(728\) 5.05692e6 + 1.26622e7i 0.353637 + 0.885486i
\(729\) −8.93008e6 + 1.11980e7i −0.622352 + 0.780405i
\(730\) 1.36928e7 2.06386e6i 0.951010 0.143342i
\(731\) −1.84032e7 1.25471e7i −1.27380 0.868459i
\(732\) −65094.0 + 165857.i −0.00449017 + 0.0114408i
\(733\) 8.82553e6 + 2.72231e6i 0.606709 + 0.187145i 0.582863 0.812571i \(-0.301933\pi\)
0.0238465 + 0.999716i \(0.492409\pi\)
\(734\) 8.28462e6 0.567587
\(735\) −184324. + 59273.3i −0.0125853 + 0.00404707i
\(736\) 7.96957e6 0.542301
\(737\) 3.13235e6 + 966201.i 0.212423 + 0.0655238i
\(738\) −167025. + 425573.i −0.0112886 + 0.0287629i
\(739\) 1.22803e7 + 8.37255e6i 0.827175 + 0.563958i 0.901252 0.433294i \(-0.142649\pi\)
−0.0740778 + 0.997252i \(0.523601\pi\)
\(740\) 9.03213e6 1.36137e6i 0.606332 0.0913899i
\(741\) 1538.03 1928.63i 0.000102901 0.000129034i
\(742\) 2.16952e6 340247.i 0.144662 0.0226874i
\(743\) −1.41102e7 1.76936e7i −0.937694 1.17583i −0.984226 0.176914i \(-0.943389\pi\)
0.0465325 0.998917i \(-0.485183\pi\)
\(744\) −47543.0 44113.4i −0.00314886 0.00292172i
\(745\) −1.42179e7 2.14300e6i −0.938523 0.141460i
\(746\) −1.42981e6 + 1.32667e6i −0.0940657 + 0.0872802i
\(747\) −1.86543e7 + 1.27183e7i −1.22314 + 0.833925i
\(748\) −2.53885e6 1.11234e7i −0.165914 0.726917i
\(749\) −2.48096e7 + 7.81511e6i −1.61591 + 0.509015i
\(750\) −44682.0 + 195765.i −0.00290054 + 0.0127081i
\(751\) 1.39961e6 + 3.56614e6i 0.0905536 + 0.230727i 0.968974 0.247161i \(-0.0794977\pi\)
−0.878421 + 0.477888i \(0.841402\pi\)
\(752\) −446641. 5.96001e6i −0.0288014 0.384329i
\(753\) −162903. 282157.i −0.0104699 0.0181344i
\(754\) 515150. 892266.i 0.0329993 0.0571565i
\(755\) −8.44488e6 4.06684e6i −0.539171 0.259651i
\(756\) −176846. + 224491.i −0.0112536 + 0.0142855i
\(757\) 1.26210e7 6.07796e6i 0.800488 0.385494i 0.0115233 0.999934i \(-0.496332\pi\)
0.788964 + 0.614439i \(0.210618\pi\)
\(758\) 205152. 2.73756e6i 0.0129689 0.173058i
\(759\) −210015. + 64780.9i −0.0132326 + 0.00408171i
\(760\) 126816. 39117.5i 0.00796414 0.00245661i