Properties

Label 49.6.g.a.2.19
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 2.19
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.81307 + 2.41001i) q^{2} +(8.62663 - 21.9803i) q^{3} +(28.7962 + 19.6329i) q^{4} +(40.7138 - 6.13662i) q^{5} +(120.373 - 150.943i) q^{6} +(-56.8046 + 116.534i) q^{7} +(14.5399 + 18.2325i) q^{8} +(-230.583 - 213.950i) q^{9} +O(q^{10})\) \(q+(7.81307 + 2.41001i) q^{2} +(8.62663 - 21.9803i) q^{3} +(28.7962 + 19.6329i) q^{4} +(40.7138 - 6.13662i) q^{5} +(120.373 - 150.943i) q^{6} +(-56.8046 + 116.534i) q^{7} +(14.5399 + 18.2325i) q^{8} +(-230.583 - 213.950i) q^{9} +(332.889 + 50.1749i) q^{10} +(345.649 - 320.715i) q^{11} +(679.952 - 463.583i) q^{12} +(-16.3543 - 71.6528i) q^{13} +(-724.667 + 773.591i) q^{14} +(216.338 - 947.839i) q^{15} +(-337.793 - 860.682i) q^{16} +(144.478 + 1927.92i) q^{17} +(-1285.94 - 2227.31i) q^{18} +(-763.874 + 1323.07i) q^{19} +(1292.88 + 622.620i) q^{20} +(2071.43 + 2253.88i) q^{21} +(3473.50 - 1672.75i) q^{22} +(-235.375 + 3140.86i) q^{23} +(526.186 - 162.307i) q^{24} +(-1366.21 + 421.420i) q^{25} +(44.9070 - 599.242i) q^{26} +(-1522.21 + 733.056i) q^{27} +(-3923.67 + 2240.51i) q^{28} +(535.267 + 257.771i) q^{29} +(3974.57 - 6884.15i) q^{30} +(-2599.26 - 4502.05i) q^{31} +(-620.711 - 8282.81i) q^{32} +(-4067.63 - 10364.1i) q^{33} +(-3517.50 + 15411.2i) q^{34} +(-1597.60 + 5093.14i) q^{35} +(-2439.46 - 10688.0i) q^{36} +(5276.01 - 3597.12i) q^{37} +(-9156.81 + 8496.28i) q^{38} +(-1716.03 - 258.650i) q^{39} +(703.862 + 653.088i) q^{40} +(8891.03 + 11149.0i) q^{41} +(10752.3 + 22601.9i) q^{42} +(-1862.15 + 2335.07i) q^{43} +(16249.9 - 2449.29i) q^{44} +(-10700.8 - 7295.70i) q^{45} +(-9408.50 + 23972.5i) q^{46} +(-12055.1 - 3718.51i) q^{47} -21832.1 q^{48} +(-10353.5 - 13239.4i) q^{49} -11689.9 q^{50} +(43622.6 + 13455.8i) q^{51} +(935.813 - 2384.41i) q^{52} +(-22111.1 - 15075.1i) q^{53} +(-13659.8 + 2058.88i) q^{54} +(12104.6 - 15178.6i) q^{55} +(-2950.65 + 658.712i) q^{56} +(22491.8 + 28203.8i) q^{57} +(3560.85 + 3303.98i) q^{58} +(26926.0 + 4058.45i) q^{59} +(24838.6 - 23046.8i) q^{60} +(-21584.8 + 14716.3i) q^{61} +(-9458.20 - 41439.1i) q^{62} +(38030.6 - 14717.5i) q^{63} +(8528.28 - 37364.8i) q^{64} +(-1105.55 - 2816.90i) q^{65} +(-6802.93 - 90778.8i) q^{66} +(-22371.1 - 38747.9i) q^{67} +(-33690.3 + 58353.3i) q^{68} +(67006.4 + 32268.6i) q^{69} +(-24756.7 + 35942.8i) q^{70} +(64680.0 - 31148.3i) q^{71} +(548.177 - 7314.92i) q^{72} +(-15155.9 + 4674.98i) q^{73} +(49891.0 - 15389.3i) q^{74} +(-2522.85 + 33665.1i) q^{75} +(-47972.4 + 23102.3i) q^{76} +(17739.9 + 58498.0i) q^{77} +(-12784.1 - 6156.51i) q^{78} +(11545.7 - 19997.7i) q^{79} +(-19034.5 - 32968.7i) q^{80} +(-2730.80 - 36440.0i) q^{81} +(42597.0 + 108535. i) q^{82} +(25559.3 - 111983. i) q^{83} +(15399.0 + 105571. i) q^{84} +(17713.1 + 77606.3i) q^{85} +(-20176.7 + 13756.2i) q^{86} +(10283.4 - 9541.64i) q^{87} +(10873.1 + 1638.86i) q^{88} +(-2026.99 - 1880.78i) q^{89} +(-66023.6 - 82790.9i) q^{90} +(9279.01 + 2164.37i) q^{91} +(-68442.1 + 85823.7i) q^{92} +(-121379. + 18295.0i) q^{93} +(-85225.8 - 58106.0i) q^{94} +(-22981.0 + 58554.8i) q^{95} +(-187413. - 57809.3i) q^{96} +807.754 q^{97} +(-48985.4 - 128392. i) q^{98} -148318. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.81307 + 2.41001i 1.38117 + 0.426034i 0.894310 0.447447i \(-0.147667\pi\)
0.486858 + 0.873481i \(0.338143\pi\)
\(3\) 8.62663 21.9803i 0.553398 1.41004i −0.331146 0.943580i \(-0.607435\pi\)
0.884544 0.466457i \(-0.154470\pi\)
\(4\) 28.7962 + 19.6329i 0.899882 + 0.613529i
\(5\) 40.7138 6.13662i 0.728311 0.109775i 0.225588 0.974223i \(-0.427570\pi\)
0.502723 + 0.864448i \(0.332332\pi\)
\(6\) 120.373 150.943i 1.36506 1.71173i
\(7\) −56.8046 + 116.534i −0.438165 + 0.898894i
\(8\) 14.5399 + 18.2325i 0.0803226 + 0.100721i
\(9\) −230.583 213.950i −0.948901 0.880451i
\(10\) 332.889 + 50.1749i 1.05269 + 0.158667i
\(11\) 345.649 320.715i 0.861297 0.799167i −0.119777 0.992801i \(-0.538218\pi\)
0.981074 + 0.193634i \(0.0620274\pi\)
\(12\) 679.952 463.583i 1.36309 0.929340i
\(13\) −16.3543 71.6528i −0.0268394 0.117591i 0.959734 0.280912i \(-0.0906367\pi\)
−0.986573 + 0.163320i \(0.947780\pi\)
\(14\) −724.667 + 773.591i −0.988140 + 1.05485i
\(15\) 216.338 947.839i 0.248259 1.08769i
\(16\) −337.793 860.682i −0.329876 0.840510i
\(17\) 144.478 + 1927.92i 0.121249 + 1.61796i 0.643695 + 0.765283i \(0.277401\pi\)
−0.522446 + 0.852673i \(0.674980\pi\)
\(18\) −1285.94 2227.31i −0.935489 1.62032i
\(19\) −763.874 + 1323.07i −0.485443 + 0.840811i −0.999860 0.0167287i \(-0.994675\pi\)
0.514418 + 0.857540i \(0.328008\pi\)
\(20\) 1292.88 + 622.620i 0.722744 + 0.348055i
\(21\) 2071.43 + 2253.88i 1.02499 + 1.11528i
\(22\) 3473.50 1672.75i 1.53007 0.736842i
\(23\) −235.375 + 3140.86i −0.0927769 + 1.23802i 0.735430 + 0.677600i \(0.236980\pi\)
−0.828207 + 0.560422i \(0.810639\pi\)
\(24\) 526.186 162.307i 0.186471 0.0575187i
\(25\) −1366.21 + 421.420i −0.437187 + 0.134854i
\(26\) 44.9070 599.242i 0.0130281 0.173848i
\(27\) −1522.21 + 733.056i −0.401850 + 0.193521i
\(28\) −3923.67 + 2240.51i −0.945795 + 0.540071i
\(29\) 535.267 + 257.771i 0.118189 + 0.0569166i 0.492044 0.870570i \(-0.336250\pi\)
−0.373855 + 0.927487i \(0.621964\pi\)
\(30\) 3974.57 6884.15i 0.806282 1.39652i
\(31\) −2599.26 4502.05i −0.485787 0.841407i 0.514080 0.857742i \(-0.328133\pi\)
−0.999867 + 0.0163352i \(0.994800\pi\)
\(32\) −620.711 8282.81i −0.107155 1.42989i
\(33\) −4067.63 10364.1i −0.650214 1.65672i
\(34\) −3517.50 + 15411.2i −0.521839 + 2.28632i
\(35\) −1597.60 + 5093.14i −0.220444 + 0.702774i
\(36\) −2439.46 10688.0i −0.313716 1.37448i
\(37\) 5276.01 3597.12i 0.633580 0.431968i −0.203480 0.979079i \(-0.565225\pi\)
0.837060 + 0.547112i \(0.184273\pi\)
\(38\) −9156.81 + 8496.28i −1.02869 + 0.954487i
\(39\) −1716.03 258.650i −0.180661 0.0272302i
\(40\) 703.862 + 653.088i 0.0695565 + 0.0645390i
\(41\) 8891.03 + 11149.0i 0.826024 + 1.03580i 0.998708 + 0.0508237i \(0.0161847\pi\)
−0.172684 + 0.984977i \(0.555244\pi\)
\(42\) 10752.3 + 22601.9i 0.940543 + 1.97707i
\(43\) −1862.15 + 2335.07i −0.153583 + 0.192588i −0.852671 0.522449i \(-0.825019\pi\)
0.699087 + 0.715037i \(0.253590\pi\)
\(44\) 16249.9 2449.29i 1.26538 0.190725i
\(45\) −10700.8 7295.70i −0.787746 0.537076i
\(46\) −9408.50 + 23972.5i −0.655580 + 1.67039i
\(47\) −12055.1 3718.51i −0.796025 0.245541i −0.130042 0.991508i \(-0.541511\pi\)
−0.665983 + 0.745967i \(0.731988\pi\)
\(48\) −21832.1 −1.36770
\(49\) −10353.5 13239.4i −0.616022 0.787729i
\(50\) −11689.9 −0.661282
\(51\) 43622.6 + 13455.8i 2.34847 + 0.724408i
\(52\) 935.813 2384.41i 0.0479933 0.122285i
\(53\) −22111.1 15075.1i −1.08124 0.737175i −0.114622 0.993409i \(-0.536566\pi\)
−0.966615 + 0.256235i \(0.917518\pi\)
\(54\) −13659.8 + 2058.88i −0.637469 + 0.0960830i
\(55\) 12104.6 15178.6i 0.539563 0.676591i
\(56\) −2950.65 + 658.712i −0.125732 + 0.0280689i
\(57\) 22491.8 + 28203.8i 0.916931 + 1.14980i
\(58\) 3560.85 + 3303.98i 0.138990 + 0.128964i
\(59\) 26926.0 + 4058.45i 1.00703 + 0.151785i 0.631788 0.775141i \(-0.282321\pi\)
0.375242 + 0.926927i \(0.377559\pi\)
\(60\) 24838.6 23046.8i 0.890735 0.826482i
\(61\) −21584.8 + 14716.3i −0.742717 + 0.506376i −0.874573 0.484893i \(-0.838859\pi\)
0.131857 + 0.991269i \(0.457906\pi\)
\(62\) −9458.20 41439.1i −0.312485 1.36909i
\(63\) 38030.6 14717.5i 1.20721 0.467178i
\(64\) 8528.28 37364.8i 0.260262 1.14028i
\(65\) −1105.55 2816.90i −0.0324560 0.0826966i
\(66\) −6802.93 90778.8i −0.192237 2.56522i
\(67\) −22371.1 38747.9i −0.608836 1.05453i −0.991433 0.130619i \(-0.958303\pi\)
0.382597 0.923915i \(-0.375030\pi\)
\(68\) −33690.3 + 58353.3i −0.883553 + 1.53036i
\(69\) 67006.4 + 32268.6i 1.69431 + 0.815938i
\(70\) −24756.7 + 35942.8i −0.603876 + 0.876732i
\(71\) 64680.0 31148.3i 1.52274 0.733311i 0.529379 0.848386i \(-0.322425\pi\)
0.993357 + 0.115075i \(0.0367109\pi\)
\(72\) 548.177 7314.92i 0.0124621 0.166295i
\(73\) −15155.9 + 4674.98i −0.332870 + 0.102677i −0.456685 0.889629i \(-0.650963\pi\)
0.123815 + 0.992305i \(0.460487\pi\)
\(74\) 49891.0 15389.3i 1.05911 0.326693i
\(75\) −2522.85 + 33665.1i −0.0517891 + 0.691078i
\(76\) −47972.4 + 23102.3i −0.952703 + 0.458798i
\(77\) 17739.9 + 58498.0i 0.340976 + 1.12438i
\(78\) −12784.1 6156.51i −0.237922 0.114577i
\(79\) 11545.7 19997.7i 0.208138 0.360506i −0.742990 0.669303i \(-0.766593\pi\)
0.951128 + 0.308797i \(0.0999263\pi\)
\(80\) −19034.5 32968.7i −0.332519 0.575940i
\(81\) −2730.80 36440.0i −0.0462464 0.617115i
\(82\) 42597.0 + 108535.i 0.699591 + 1.78253i
\(83\) 25559.3 111983.i 0.407244 1.78425i −0.189565 0.981868i \(-0.560708\pi\)
0.596809 0.802384i \(-0.296435\pi\)
\(84\) 15399.0 + 105571.i 0.238119 + 1.63248i
\(85\) 17713.1 + 77606.3i 0.265918 + 1.16506i
\(86\) −20176.7 + 13756.2i −0.294173 + 0.200564i
\(87\) 10283.4 9541.64i 0.145660 0.135153i
\(88\) 10873.1 + 1638.86i 0.149675 + 0.0225598i
\(89\) −2026.99 1880.78i −0.0271255 0.0251688i 0.666494 0.745511i \(-0.267794\pi\)
−0.693619 + 0.720342i \(0.743985\pi\)
\(90\) −66023.6 82790.9i −0.859197 1.07740i
\(91\) 9279.01 + 2164.37i 0.117462 + 0.0273986i
\(92\) −68442.1 + 85823.7i −0.843051 + 1.05715i
\(93\) −121379. + 18295.0i −1.45525 + 0.219343i
\(94\) −85225.8 58106.0i −0.994836 0.678267i
\(95\) −22981.0 + 58554.8i −0.261253 + 0.665661i
\(96\) −187413. 57809.3i −2.07550 0.640206i
\(97\) 807.754 0.00871665 0.00435833 0.999991i \(-0.498613\pi\)
0.00435833 + 0.999991i \(0.498613\pi\)
\(98\) −48985.4 128392.i −0.515231 1.35043i
\(99\) −148318. −1.52091
\(100\) −47615.4 14687.4i −0.476154 0.146874i
\(101\) −53500.2 + 136316.i −0.521858 + 1.32967i 0.390622 + 0.920551i \(0.372260\pi\)
−0.912480 + 0.409121i \(0.865835\pi\)
\(102\) 308398. + 210262.i 2.93502 + 2.00106i
\(103\) −37064.8 + 5586.62i −0.344246 + 0.0518867i −0.318890 0.947792i \(-0.603310\pi\)
−0.0253561 + 0.999678i \(0.508072\pi\)
\(104\) 1068.62 1340.01i 0.00968813 0.0121485i
\(105\) 98166.8 + 79052.4i 0.868943 + 0.699748i
\(106\) −136424. 171071.i −1.17931 1.47881i
\(107\) 109853. + 101929.i 0.927581 + 0.860669i 0.990523 0.137348i \(-0.0438579\pi\)
−0.0629422 + 0.998017i \(0.520048\pi\)
\(108\) −58225.8 8776.13i −0.480348 0.0724009i
\(109\) 89964.0 83474.4i 0.725275 0.672957i −0.228478 0.973549i \(-0.573375\pi\)
0.953753 + 0.300592i \(0.0971844\pi\)
\(110\) 131154. 89419.6i 1.03348 0.704613i
\(111\) −33551.6 146999.i −0.258468 1.13242i
\(112\) 119487. + 9526.23i 0.900069 + 0.0717589i
\(113\) 42013.0 184071.i 0.309519 1.35609i −0.545767 0.837937i \(-0.683761\pi\)
0.855286 0.518156i \(-0.173381\pi\)
\(114\) 107758. + 274564.i 0.776584 + 1.97870i
\(115\) 9691.24 + 129321.i 0.0683336 + 0.911849i
\(116\) 10352.9 + 17931.7i 0.0714358 + 0.123730i
\(117\) −11559.1 + 20020.9i −0.0780654 + 0.135213i
\(118\) 200594. + 96601.0i 1.32621 + 0.638670i
\(119\) −232876. 92678.0i −1.50750 0.599942i
\(120\) 20427.0 9837.14i 0.129495 0.0623614i
\(121\) 4579.46 61108.7i 0.0284349 0.379437i
\(122\) −204110. + 62959.5i −1.24155 + 0.382967i
\(123\) 321758. 99249.2i 1.91764 0.591513i
\(124\) 13539.6 180673.i 0.0790771 1.05521i
\(125\) −168963. + 81368.3i −0.967201 + 0.465780i
\(126\) 332605. 23334.5i 1.86639 0.130940i
\(127\) −89199.9 42956.4i −0.490744 0.236330i 0.172111 0.985078i \(-0.444941\pi\)
−0.662855 + 0.748748i \(0.730656\pi\)
\(128\) 23785.1 41197.0i 0.128316 0.222249i
\(129\) 35261.4 + 61074.5i 0.186563 + 0.323136i
\(130\) −1848.99 24673.0i −0.00959567 0.128045i
\(131\) −38972.6 99300.5i −0.198418 0.505561i 0.796686 0.604393i \(-0.206584\pi\)
−0.995104 + 0.0988326i \(0.968489\pi\)
\(132\) 86346.2 378308.i 0.431329 1.88978i
\(133\) −110791. 164174.i −0.543096 0.804776i
\(134\) −81404.0 356654.i −0.391637 1.71587i
\(135\) −57476.3 + 39186.7i −0.271428 + 0.185056i
\(136\) −33050.1 + 30666.0i −0.153224 + 0.142171i
\(137\) −271408. 40908.2i −1.23544 0.186213i −0.501337 0.865252i \(-0.667158\pi\)
−0.734102 + 0.679039i \(0.762397\pi\)
\(138\) 445758. + 413603.i 1.99251 + 1.84878i
\(139\) 192072. + 240851.i 0.843194 + 1.05733i 0.997594 + 0.0693233i \(0.0220840\pi\)
−0.154400 + 0.988008i \(0.549345\pi\)
\(140\) −145998. + 115298.i −0.629546 + 0.497164i
\(141\) −185729. + 232897.i −0.786741 + 0.986542i
\(142\) 580417. 87483.8i 2.41557 0.364088i
\(143\) −28633.0 19521.6i −0.117092 0.0798318i
\(144\) −106253. + 270729.i −0.427008 + 1.08800i
\(145\) 23374.6 + 7210.11i 0.0923261 + 0.0284788i
\(146\) −129681. −0.503493
\(147\) −380321. + 113361.i −1.45163 + 0.432685i
\(148\) 222551. 0.835172
\(149\) −482748. 148908.i −1.78137 0.549480i −0.783922 0.620859i \(-0.786784\pi\)
−0.997449 + 0.0713784i \(0.977260\pi\)
\(150\) −100845. + 256948.i −0.365952 + 0.932431i
\(151\) −23837.4 16252.1i −0.0850778 0.0580051i 0.520034 0.854146i \(-0.325919\pi\)
−0.605112 + 0.796140i \(0.706872\pi\)
\(152\) −35229.5 + 5310.00i −0.123680 + 0.0186417i
\(153\) 379164. 475456.i 1.30948 1.64203i
\(154\) −2378.01 + 499802.i −0.00808000 + 1.69823i
\(155\) −133453. 167345.i −0.446169 0.559478i
\(156\) −44337.2 41138.9i −0.145867 0.135345i
\(157\) 132501. + 19971.3i 0.429012 + 0.0646632i 0.359999 0.932953i \(-0.382777\pi\)
0.0690130 + 0.997616i \(0.478015\pi\)
\(158\) 138402. 128418.i 0.441061 0.409245i
\(159\) −522099. + 355961.i −1.63780 + 1.11663i
\(160\) −76099.9 333416.i −0.235009 1.02964i
\(161\) −352647. 205844.i −1.07220 0.625855i
\(162\) 66485.0 291290.i 0.199038 0.872042i
\(163\) 147196. + 375049.i 0.433937 + 1.10565i 0.965907 + 0.258890i \(0.0833567\pi\)
−0.531970 + 0.846763i \(0.678548\pi\)
\(164\) 37140.5 + 495606.i 0.107830 + 1.43889i
\(165\) −229209. 397002.i −0.655424 1.13523i
\(166\) 469577. 813331.i 1.32262 2.29085i
\(167\) 511726. + 246434.i 1.41986 + 0.683769i 0.977082 0.212861i \(-0.0682783\pi\)
0.442779 + 0.896631i \(0.353993\pi\)
\(168\) −10975.5 + 70538.5i −0.0300020 + 0.192821i
\(169\) 329657. 158754.i 0.887862 0.427572i
\(170\) −48638.2 + 649032.i −0.129079 + 1.72244i
\(171\) 459206. 141646.i 1.20093 0.370438i
\(172\) −99467.2 + 30681.6i −0.256365 + 0.0790781i
\(173\) −35683.7 + 476166.i −0.0906472 + 1.20960i 0.747538 + 0.664219i \(0.231236\pi\)
−0.838186 + 0.545385i \(0.816383\pi\)
\(174\) 103341. 49766.2i 0.258761 0.124613i
\(175\) 28497.1 183149.i 0.0703405 0.452074i
\(176\) −392791. 189158.i −0.955829 0.460303i
\(177\) 321487. 556832.i 0.771312 1.33595i
\(178\) −11304.3 19579.7i −0.0267421 0.0463187i
\(179\) 31508.8 + 420456.i 0.0735020 + 0.980816i 0.905034 + 0.425339i \(0.139845\pi\)
−0.831532 + 0.555477i \(0.812536\pi\)
\(180\) −164907. 420177.i −0.379366 0.966610i
\(181\) −112609. + 493374.i −0.255492 + 1.11939i 0.670520 + 0.741892i \(0.266071\pi\)
−0.926012 + 0.377494i \(0.876786\pi\)
\(182\) 67281.3 + 39272.9i 0.150562 + 0.0878850i
\(183\) 137264. + 601392.i 0.302990 + 1.32749i
\(184\) −60688.0 + 41376.4i −0.132147 + 0.0900965i
\(185\) 192732. 178829.i 0.414024 0.384158i
\(186\) −992435. 149586.i −2.10339 0.317035i
\(187\) 668251. + 620046.i 1.39745 + 1.29664i
\(188\) −274136. 343756.i −0.565682 0.709343i
\(189\) 1042.12 219030.i 0.00212209 0.446015i
\(190\) −320670. + 402108.i −0.644428 + 0.808087i
\(191\) 385328. 58078.8i 0.764270 0.115195i 0.244672 0.969606i \(-0.421320\pi\)
0.519598 + 0.854411i \(0.326082\pi\)
\(192\) −747719. 509786.i −1.46381 0.998011i
\(193\) 145281. 370171.i 0.280748 0.715334i −0.719045 0.694964i \(-0.755420\pi\)
0.999793 0.0203700i \(-0.00648444\pi\)
\(194\) 6311.04 + 1946.70i 0.0120392 + 0.00371359i
\(195\) −71453.4 −0.134566
\(196\) −38213.7 584513.i −0.0710524 1.08681i
\(197\) −906359. −1.66393 −0.831964 0.554830i \(-0.812783\pi\)
−0.831964 + 0.554830i \(0.812783\pi\)
\(198\) −1.15881e6 357447.i −2.10064 0.647961i
\(199\) 101584. 258831.i 0.181841 0.463322i −0.810667 0.585508i \(-0.800895\pi\)
0.992507 + 0.122186i \(0.0389904\pi\)
\(200\) −27548.1 18782.0i −0.0486987 0.0332022i
\(201\) −1.04468e6 + 157460.i −1.82386 + 0.274903i
\(202\) −746525. + 936112.i −1.28726 + 1.61417i
\(203\) −60444.8 + 47734.4i −0.102948 + 0.0813002i
\(204\) 991989. + 1.24391e6i 1.66890 + 2.09274i
\(205\) 430405. + 399357.i 0.715307 + 0.663708i
\(206\) −303054. 45678.0i −0.497567 0.0749962i
\(207\) 726258. 673869.i 1.17805 1.09307i
\(208\) −56145.9 + 38279.6i −0.0899829 + 0.0613493i
\(209\) 160296. + 702303.i 0.253838 + 1.11214i
\(210\) 576466. + 854225.i 0.902040 + 1.33667i
\(211\) −82296.0 + 360562.i −0.127254 + 0.557538i 0.870596 + 0.491999i \(0.163734\pi\)
−0.997850 + 0.0655386i \(0.979123\pi\)
\(212\) −340748. 868211.i −0.520707 1.32674i
\(213\) −126677. 1.69039e6i −0.191315 2.55293i
\(214\) 612638. + 1.06112e6i 0.914471 + 1.58391i
\(215\) −61485.9 + 106497.i −0.0907151 + 0.157123i
\(216\) −35498.2 17095.1i −0.0517693 0.0249308i
\(217\) 672293. 47165.9i 0.969191 0.0679953i
\(218\) 904069. 435377.i 1.28843 0.620475i
\(219\) −27987.0 + 373460.i −0.0394317 + 0.526180i
\(220\) 646567. 199439.i 0.900651 0.277814i
\(221\) 135778. 41882.0i 0.187003 0.0576828i
\(222\) 92129.0 1.22938e6i 0.125462 1.67418i
\(223\) −1.15607e6 + 556733.i −1.55676 + 0.749696i −0.996884 0.0788812i \(-0.974865\pi\)
−0.559875 + 0.828577i \(0.689151\pi\)
\(224\) 1.00049e6 + 398167.i 1.33227 + 0.530207i
\(225\) 405187. + 195128.i 0.533580 + 0.256959i
\(226\) 771864. 1.33691e6i 1.00524 1.74113i
\(227\) −49456.8 85661.6i −0.0637032 0.110337i 0.832415 0.554153i \(-0.186958\pi\)
−0.896118 + 0.443816i \(0.853624\pi\)
\(228\) 93955.0 + 1.25374e6i 0.119697 + 1.59724i
\(229\) −246826. 628901.i −0.311029 0.792490i −0.997842 0.0656559i \(-0.979086\pi\)
0.686813 0.726834i \(-0.259009\pi\)
\(230\) −235946. + 1.03375e6i −0.294098 + 1.28853i
\(231\) 1.43884e6 + 114713.i 1.77412 + 0.141443i
\(232\) 3082.94 + 13507.2i 0.00376050 + 0.0164758i
\(233\) 106836. 72839.6i 0.128922 0.0878977i −0.497142 0.867669i \(-0.665617\pi\)
0.626064 + 0.779772i \(0.284665\pi\)
\(234\) −138562. + 128567.i −0.165427 + 0.153494i
\(235\) −513629. 77417.1i −0.606708 0.0914465i
\(236\) 695689. + 645505.i 0.813083 + 0.754431i
\(237\) −339955. 426290.i −0.393143 0.492986i
\(238\) −1.59612e6 1.28533e6i −1.82651 1.47087i
\(239\) 245261. 307548.i 0.277737 0.348272i −0.623324 0.781964i \(-0.714218\pi\)
0.901061 + 0.433692i \(0.142790\pi\)
\(240\) −888866. + 133975.i −0.996112 + 0.150140i
\(241\) 1.00872e6 + 687734.i 1.11874 + 0.762743i 0.973960 0.226721i \(-0.0728007\pi\)
0.144778 + 0.989464i \(0.453753\pi\)
\(242\) 183052. 466410.i 0.200926 0.511952i
\(243\) −1.21683e6 375344.i −1.32195 0.407768i
\(244\) −910483. −0.979033
\(245\) −502774. 475489.i −0.535128 0.506087i
\(246\) 2.75311e6 2.90058
\(247\) 107294. + 33095.9i 0.111901 + 0.0345169i
\(248\) 44290.6 112851.i 0.0457280 0.116513i
\(249\) −2.24092e6 1.52784e6i −2.29049 1.56163i
\(250\) −1.51622e6 + 228533.i −1.53431 + 0.231259i
\(251\) 998296. 1.25182e6i 1.00017 1.25418i 0.0331601 0.999450i \(-0.489443\pi\)
0.967013 0.254727i \(-0.0819857\pi\)
\(252\) 1.38409e6 + 322844.i 1.37297 + 0.320252i
\(253\) 925963. + 1.16112e6i 0.909478 + 1.14045i
\(254\) −593400. 550594.i −0.577116 0.535485i
\(255\) 1.85861e6 + 280141.i 1.78994 + 0.269790i
\(256\) −613912. + 569627.i −0.585472 + 0.543239i
\(257\) 900558. 613990.i 0.850509 0.579867i −0.0577239 0.998333i \(-0.518384\pi\)
0.908233 + 0.418466i \(0.137432\pi\)
\(258\) 128309. + 562159.i 0.120007 + 0.525787i
\(259\) 119487. + 819170.i 0.110680 + 0.758795i
\(260\) 23468.3 102821.i 0.0215302 0.0943299i
\(261\) −68273.4 173958.i −0.0620370 0.158068i
\(262\) −65179.9 869766.i −0.0586625 0.782797i
\(263\) 88995.7 + 154145.i 0.0793378 + 0.137417i 0.902964 0.429715i \(-0.141386\pi\)
−0.823627 + 0.567132i \(0.808053\pi\)
\(264\) 129821. 224857.i 0.114640 0.198562i
\(265\) −992737. 478077.i −0.868399 0.418199i
\(266\) −469959. 1.54971e6i −0.407245 1.34291i
\(267\) −58826.1 + 28329.2i −0.0505001 + 0.0243196i
\(268\) 116531. 1.55500e6i 0.0991073 1.32249i
\(269\) −136507. + 42106.7i −0.115020 + 0.0354790i −0.351731 0.936101i \(-0.614407\pi\)
0.236711 + 0.971580i \(0.423931\pi\)
\(270\) −543507. + 167650.i −0.453728 + 0.139957i
\(271\) 20911.9 279050.i 0.0172970 0.230813i −0.981855 0.189634i \(-0.939270\pi\)
0.999152 0.0411783i \(-0.0131112\pi\)
\(272\) 1.61052e6 775586.i 1.31991 0.635635i
\(273\) 127620. 185284.i 0.103636 0.150464i
\(274\) −2.02194e6 973715.i −1.62702 0.783530i
\(275\) −337073. + 583827.i −0.268777 + 0.465535i
\(276\) 1.29600e6 + 2.24475e6i 1.02408 + 1.77376i
\(277\) 13237.9 + 176648.i 0.0103662 + 0.138328i 0.999985 0.00538628i \(-0.00171451\pi\)
−0.989619 + 0.143714i \(0.954095\pi\)
\(278\) 920219. + 2.34468e6i 0.714133 + 1.81958i
\(279\) −363867. + 1.59421e6i −0.279855 + 1.22612i
\(280\) −116090. + 44925.6i −0.0884909 + 0.0342452i
\(281\) −38554.5 168918.i −0.0291279 0.127618i 0.958274 0.285853i \(-0.0922768\pi\)
−0.987401 + 0.158235i \(0.949420\pi\)
\(282\) −2.01240e6 + 1.37203e6i −1.50692 + 1.02740i
\(283\) −208877. + 193809.i −0.155033 + 0.143850i −0.753876 0.657017i \(-0.771818\pi\)
0.598843 + 0.800867i \(0.295627\pi\)
\(284\) 2.47407e6 + 372906.i 1.82019 + 0.274349i
\(285\) 1.08880e6 + 1.01026e6i 0.794029 + 0.736752i
\(286\) −176664. 221530.i −0.127712 0.160146i
\(287\) −1.80429e6 + 402796.i −1.29301 + 0.288656i
\(288\) −1.62898e6 + 2.04268e6i −1.15727 + 1.45117i
\(289\) −2.29200e6 + 345463.i −1.61425 + 0.243309i
\(290\) 165251. + 112666.i 0.115385 + 0.0786681i
\(291\) 6968.19 17754.7i 0.00482378 0.0122908i
\(292\) −528216. 162933.i −0.362539 0.111828i
\(293\) −510552. −0.347433 −0.173717 0.984796i \(-0.555578\pi\)
−0.173717 + 0.984796i \(0.555578\pi\)
\(294\) −3.24467e6 30876.3i −2.18929 0.0208333i
\(295\) 1.12117e6 0.750093
\(296\) 142297. + 43893.0i 0.0943991 + 0.0291183i
\(297\) −291047. + 741574.i −0.191457 + 0.487825i
\(298\) −3.41287e6 2.32686e6i −2.22628 1.51785i
\(299\) 228901. 34501.2i 0.148071 0.0223181i
\(300\) −733594. + 919897.i −0.470600 + 0.590114i
\(301\) −166337. 349647.i −0.105821 0.222441i
\(302\) −147076. 184427.i −0.0927947 0.116361i
\(303\) 2.53475e6 + 2.35190e6i 1.58609 + 1.47168i
\(304\) 1.39677e6 + 210530.i 0.866846 + 0.130656i
\(305\) −788491. + 731612.i −0.485341 + 0.450331i
\(306\) 4.10828e6 2.80098e6i 2.50817 1.71004i
\(307\) 503619. + 2.20650e6i 0.304969 + 1.33616i 0.862523 + 0.506017i \(0.168883\pi\)
−0.557554 + 0.830141i \(0.688260\pi\)
\(308\) −637645. + 2.03281e6i −0.383003 + 1.22101i
\(309\) −196949. + 862890.i −0.117343 + 0.514114i
\(310\) −639375. 1.62910e6i −0.377878 0.962817i
\(311\) −5752.77 76765.4i −0.00337269 0.0450054i 0.995264 0.0972138i \(-0.0309930\pi\)
−0.998636 + 0.0522084i \(0.983374\pi\)
\(312\) −20235.2 35048.3i −0.0117685 0.0203836i
\(313\) 311885. 540201.i 0.179943 0.311670i −0.761918 0.647673i \(-0.775742\pi\)
0.941861 + 0.336004i \(0.109075\pi\)
\(314\) 987108. + 475366.i 0.564990 + 0.272085i
\(315\) 1.45806e6 832584.i 0.827938 0.472772i
\(316\) 725085. 349183.i 0.408480 0.196714i
\(317\) −113815. + 1.51875e6i −0.0636137 + 0.848866i 0.870563 + 0.492056i \(0.163755\pi\)
−0.934177 + 0.356810i \(0.883864\pi\)
\(318\) −4.93707e6 + 1.52288e6i −2.73780 + 0.844498i
\(319\) 267685. 82570.0i 0.147281 0.0454303i
\(320\) 117925. 1.57360e6i 0.0643770 0.859051i
\(321\) 3.18808e6 1.53530e6i 1.72690 0.831629i
\(322\) −2.25917e6 2.45816e6i −1.21425 1.32120i
\(323\) −2.66113e6 1.28153e6i −1.41925 0.683477i
\(324\) 636788. 1.10295e6i 0.337002 0.583704i
\(325\) 52539.3 + 91000.8i 0.0275915 + 0.0477900i
\(326\) 246179. + 3.28503e6i 0.128294 + 1.71196i
\(327\) −1.05871e6 2.69754e6i −0.547527 1.39508i
\(328\) −73999.2 + 324212.i −0.0379789 + 0.166396i
\(329\) 1.11812e6 1.19361e6i 0.569506 0.607955i
\(330\) −834048. 3.65420e6i −0.421605 1.84717i
\(331\) 2.34217e6 1.59687e6i 1.17503 0.801121i 0.191433 0.981506i \(-0.438687\pi\)
0.983596 + 0.180384i \(0.0577341\pi\)
\(332\) 2.93456e6 2.72288e6i 1.46116 1.35576i
\(333\) −1.98616e6 299366.i −0.981531 0.147942i
\(334\) 3.40424e6 + 3.15867e6i 1.66976 + 1.54931i
\(335\) −1.14859e6 1.44029e6i −0.559183 0.701194i
\(336\) 1.24016e6 2.54418e6i 0.599280 1.22942i
\(337\) −1.24069e6 + 1.55578e6i −0.595098 + 0.746229i −0.984605 0.174794i \(-0.944074\pi\)
0.389507 + 0.921023i \(0.372645\pi\)
\(338\) 2.95823e6 445881.i 1.40845 0.212289i
\(339\) −3.68351e6 2.51137e6i −1.74085 1.18689i
\(340\) −1.01357e6 + 2.58253e6i −0.475505 + 1.21157i
\(341\) −2.34231e6 722506.i −1.09083 0.336477i
\(342\) 3.92918e6 1.81651
\(343\) 2.13096e6 454479.i 0.978005 0.208583i
\(344\) −69649.7 −0.0317339
\(345\) 2.92611e6 + 902584.i 1.32356 + 0.408263i
\(346\) −1.42636e6 + 3.63432e6i −0.640531 + 1.63205i
\(347\) 1.26938e6 + 865452.i 0.565939 + 0.385851i 0.812223 0.583347i \(-0.198257\pi\)
−0.246284 + 0.969198i \(0.579210\pi\)
\(348\) 483454. 72869.0i 0.213997 0.0322548i
\(349\) 26689.7 33467.8i 0.0117295 0.0147083i −0.775932 0.630816i \(-0.782720\pi\)
0.787662 + 0.616108i \(0.211292\pi\)
\(350\) 664041. 1.36228e6i 0.289751 0.594422i
\(351\) 77420.2 + 97081.8i 0.0335418 + 0.0420601i
\(352\) −2.87097e6 2.66387e6i −1.23501 1.14593i
\(353\) 1.21419e6 + 183009.i 0.518620 + 0.0781693i 0.403136 0.915140i \(-0.367920\pi\)
0.115484 + 0.993309i \(0.463158\pi\)
\(354\) 3.85377e6 3.57577e6i 1.63447 1.51657i
\(355\) 2.44223e6 1.66508e6i 1.02852 0.701236i
\(356\) −21444.6 93955.0i −0.00896795 0.0392912i
\(357\) −4.04602e6 + 4.31918e6i −1.68019 + 1.79362i
\(358\) −767123. + 3.36098e6i −0.316342 + 1.38599i
\(359\) −315436. 803717.i −0.129174 0.329130i 0.851625 0.524152i \(-0.175617\pi\)
−0.980799 + 0.195022i \(0.937522\pi\)
\(360\) −22570.5 301182.i −0.00917877 0.122482i
\(361\) 71042.0 + 123048.i 0.0286911 + 0.0496944i
\(362\) −2.06886e6 + 3.58337e6i −0.829774 + 1.43721i
\(363\) −1.30368e6 627820.i −0.519284 0.250074i
\(364\) 224707. + 244500.i 0.0888922 + 0.0967220i
\(365\) −588366. + 283342.i −0.231161 + 0.111321i
\(366\) −376910. + 5.02952e6i −0.147074 + 1.96256i
\(367\) 3.85551e6 1.18927e6i 1.49423 0.460908i 0.563344 0.826223i \(-0.309515\pi\)
0.930884 + 0.365314i \(0.119038\pi\)
\(368\) 2.78279e6 858376.i 1.07117 0.330414i
\(369\) 335205. 4.47300e6i 0.128158 1.71015i
\(370\) 1.93681e6 932719.i 0.735501 0.354198i
\(371\) 3.01278e6 1.72037e6i 1.13640 0.648913i
\(372\) −3.85445e6 1.85620e6i −1.44412 0.695454i
\(373\) −2.11741e6 + 3.66745e6i −0.788010 + 1.36487i 0.139174 + 0.990268i \(0.455555\pi\)
−0.927184 + 0.374606i \(0.877778\pi\)
\(374\) 3.72677e6 + 6.45496e6i 1.37770 + 2.38624i
\(375\) 330918. + 4.41579e6i 0.121518 + 1.62155i
\(376\) −107483. 273862.i −0.0392075 0.0998992i
\(377\) 9716.11 42569.1i 0.00352078 0.0154256i
\(378\) 536008. 1.70879e6i 0.192949 0.615118i
\(379\) −394252. 1.72733e6i −0.140986 0.617700i −0.995207 0.0977899i \(-0.968823\pi\)
0.854221 0.519910i \(-0.174034\pi\)
\(380\) −1.81137e6 + 1.23497e6i −0.643499 + 0.438730i
\(381\) −1.71369e6 + 1.59007e6i −0.604811 + 0.561183i
\(382\) 3.15056e6 + 474871.i 1.10466 + 0.166501i
\(383\) 1.70090e6 + 1.57821e6i 0.592491 + 0.549752i 0.918402 0.395649i \(-0.129480\pi\)
−0.325910 + 0.945401i \(0.605671\pi\)
\(384\) −700336. 878194.i −0.242370 0.303922i
\(385\) 1.08124e6 + 2.27281e6i 0.371766 + 0.781469i
\(386\) 2.02721e6 2.54204e6i 0.692517 0.868388i
\(387\) 928968. 140019.i 0.315299 0.0475237i
\(388\) 23260.3 + 15858.6i 0.00784396 + 0.00534792i
\(389\) 1.60632e6 4.09284e6i 0.538218 1.37136i −0.360471 0.932771i \(-0.617384\pi\)
0.898689 0.438587i \(-0.144521\pi\)
\(390\) −558270. 172204.i −0.185859 0.0573298i
\(391\) −6.08932e6 −2.01431
\(392\) 90847.7 381269.i 0.0298606 0.125319i
\(393\) −2.51886e6 −0.822663
\(394\) −7.08144e6 2.18433e6i −2.29816 0.708890i
\(395\) 347350. 885033.i 0.112015 0.285409i
\(396\) −4.27098e6 2.91191e6i −1.36864 0.933124i
\(397\) 402401. 60652.3i 0.128140 0.0193139i −0.0846593 0.996410i \(-0.526980\pi\)
0.212799 + 0.977096i \(0.431742\pi\)
\(398\) 1.41746e6 1.77744e6i 0.448543 0.562455i
\(399\) −4.56435e6 + 1.01896e6i −1.43531 + 0.320424i
\(400\) 824204. + 1.03352e6i 0.257564 + 0.322975i
\(401\) 806250. + 748090.i 0.250385 + 0.232324i 0.795373 0.606121i \(-0.207275\pi\)
−0.544988 + 0.838444i \(0.683466\pi\)
\(402\) −8.54161e6 1.28744e6i −2.63618 0.397340i
\(403\) −280076. + 259872.i −0.0859038 + 0.0797071i
\(404\) −4.21689e6 + 2.87503e6i −1.28540 + 0.876372i
\(405\) −334800. 1.46685e6i −0.101426 0.444375i
\(406\) −587300. + 227279.i −0.176825 + 0.0684298i
\(407\) 669995. 2.93544e6i 0.200487 0.878389i
\(408\) 388937. + 990995.i 0.115672 + 0.294728i
\(409\) −335428. 4.47598e6i −0.0991498 1.32306i −0.795760 0.605612i \(-0.792928\pi\)
0.696610 0.717450i \(-0.254691\pi\)
\(410\) 2.40033e6 + 4.15749e6i 0.705197 + 1.22144i
\(411\) −3.24051e6 + 5.61273e6i −0.946257 + 1.63896i
\(412\) −1.17701e6 566817.i −0.341615 0.164513i
\(413\) −2.00247e6 + 2.90727e6i −0.577685 + 0.838707i
\(414\) 7.29834e6 3.51469e6i 2.09278 1.00783i
\(415\) 353422. 4.71609e6i 0.100733 1.34419i
\(416\) −583335. + 179935.i −0.165267 + 0.0509780i
\(417\) 6.95091e6 2.14407e6i 1.95750 0.603808i
\(418\) −440155. + 5.87345e6i −0.123215 + 1.64419i
\(419\) −1.32718e6 + 639135.i −0.369312 + 0.177851i −0.609329 0.792917i \(-0.708561\pi\)
0.240017 + 0.970769i \(0.422847\pi\)
\(420\) 1.27480e6 + 4.20371e6i 0.352630 + 1.16281i
\(421\) 5.37807e6 + 2.58994e6i 1.47884 + 0.712172i 0.987327 0.158699i \(-0.0507299\pi\)
0.491513 + 0.870870i \(0.336444\pi\)
\(422\) −1.51194e6 + 2.61876e6i −0.413290 + 0.715839i
\(423\) 1.98413e6 + 3.43661e6i 0.539162 + 0.933856i
\(424\) −46637.3 622332.i −0.0125985 0.168115i
\(425\) −1.00985e6 2.57306e6i −0.271197 0.690998i
\(426\) 3.08412e6 1.35124e7i 0.823394 3.60753i
\(427\) −488834. 3.35132e6i −0.129745 0.889500i
\(428\) 1.16219e6 + 5.09189e6i 0.306667 + 1.34360i
\(429\) −676097. + 460955.i −0.177364 + 0.120925i
\(430\) −737052. + 683885.i −0.192233 + 0.178366i
\(431\) −4.07546e6 614277.i −1.05678 0.159284i −0.402409 0.915460i \(-0.631827\pi\)
−0.654368 + 0.756176i \(0.727065\pi\)
\(432\) 1.14512e6 + 1.06251e6i 0.295217 + 0.273921i
\(433\) 591091. + 741204.i 0.151508 + 0.189984i 0.851793 0.523878i \(-0.175515\pi\)
−0.700285 + 0.713863i \(0.746944\pi\)
\(434\) 5.36634e6 + 1.25172e6i 1.36758 + 0.318995i
\(435\) 360124. 451582.i 0.0912493 0.114423i
\(436\) 4.22947e6 637490.i 1.06554 0.160604i
\(437\) −3.97577e6 2.71064e6i −0.995905 0.678996i
\(438\) −1.11871e6 + 2.85042e6i −0.278632 + 0.709944i
\(439\) −1.33853e6 412883.i −0.331488 0.102251i 0.124543 0.992214i \(-0.460253\pi\)
−0.456032 + 0.889964i \(0.650730\pi\)
\(440\) 452744. 0.111486
\(441\) −445221. + 5.26789e6i −0.109013 + 1.28985i
\(442\) 1.16178e6 0.282858
\(443\) 3.25962e6 + 1.00546e6i 0.789146 + 0.243419i 0.663027 0.748596i \(-0.269272\pi\)
0.126119 + 0.992015i \(0.459748\pi\)
\(444\) 1.91987e6 4.89174e6i 0.462183 1.17762i
\(445\) −94068.2 64134.6i −0.0225187 0.0153530i
\(446\) −1.03742e7 + 1.56366e6i −2.46954 + 0.372224i
\(447\) −7.43753e6 + 9.32636e6i −1.76060 + 2.20772i
\(448\) 3.86984e6 + 3.11633e6i 0.910957 + 0.733581i
\(449\) −2.51004e6 3.14749e6i −0.587577 0.736799i 0.395807 0.918334i \(-0.370465\pi\)
−0.983384 + 0.181535i \(0.941893\pi\)
\(450\) 2.69549e6 + 2.50105e6i 0.627491 + 0.582226i
\(451\) 6.64882e6 + 1.00215e6i 1.53923 + 0.232002i
\(452\) 4.82367e6 4.47571e6i 1.11053 1.03042i
\(453\) −562861. + 383752.i −0.128871 + 0.0878629i
\(454\) −179963. 788471.i −0.0409774 0.179534i
\(455\) 391066. + 31178.1i 0.0885566 + 0.00706026i
\(456\) −187197. + 820163.i −0.0421586 + 0.184709i
\(457\) −2.54827e6 6.49289e6i −0.570762 1.45428i −0.866582 0.499034i \(-0.833688\pi\)
0.295821 0.955244i \(-0.404407\pi\)
\(458\) −412805. 5.50850e6i −0.0919563 1.22707i
\(459\) −1.63320e6 2.82878e6i −0.361832 0.626712i
\(460\) −2.25987e6 + 3.91421e6i −0.497954 + 0.862481i
\(461\) −5.14696e6 2.47865e6i −1.12797 0.543203i −0.225626 0.974214i \(-0.572443\pi\)
−0.902347 + 0.431011i \(0.858157\pi\)
\(462\) 1.09653e7 + 4.36388e6i 2.39009 + 0.951190i
\(463\) −2.17549e6 + 1.04766e6i −0.471633 + 0.227126i −0.654575 0.755997i \(-0.727152\pi\)
0.182942 + 0.983124i \(0.441438\pi\)
\(464\) 41049.5 547768.i 0.00885143 0.118114i
\(465\) −4.82954e6 + 1.48972e6i −1.03579 + 0.319500i
\(466\) 1.01026e6 311624.i 0.215511 0.0664763i
\(467\) −42883.9 + 572247.i −0.00909919 + 0.121420i −0.999904 0.0138814i \(-0.995581\pi\)
0.990804 + 0.135302i \(0.0432003\pi\)
\(468\) −725927. + 349588.i −0.153207 + 0.0737805i
\(469\) 5.78624e6 405943.i 1.21469 0.0852184i
\(470\) −3.82644e6 1.84272e6i −0.799006 0.384781i
\(471\) 1.58201e6 2.74012e6i 0.328592 0.569139i
\(472\) 317507. + 549939.i 0.0655992 + 0.113621i
\(473\) 105240. + 1.40433e6i 0.0216286 + 0.288614i
\(474\) −1.62873e6 4.14993e6i −0.332968 0.848388i
\(475\) 486045. 2.12950e6i 0.0988422 0.433056i
\(476\) −4.88640e6 7.24081e6i −0.988488 1.46477i
\(477\) 1.87313e6 + 8.20672e6i 0.376940 + 1.65148i
\(478\) 2.65744e6 1.81181e6i 0.531977 0.362696i
\(479\) 1.65117e6 1.53206e6i 0.328816 0.305097i −0.498437 0.866926i \(-0.666093\pi\)
0.827253 + 0.561829i \(0.189902\pi\)
\(480\) −7.98506e6 1.20355e6i −1.58189 0.238431i
\(481\) −344030. 319213.i −0.0678005 0.0629097i
\(482\) 6.22376e6 + 7.80434e6i 1.22021 + 1.53010i
\(483\) −7.56667e6 + 5.97554e6i −1.47583 + 1.16549i
\(484\) 1.33161e6 1.66979e6i 0.258384 0.324003i
\(485\) 32886.7 4956.88i 0.00634843 0.000956872i
\(486\) −8.60262e6 5.86517e6i −1.65212 1.12639i
\(487\) −2.04689e6 + 5.21538e6i −0.391085 + 0.996468i 0.590771 + 0.806839i \(0.298824\pi\)
−0.981856 + 0.189629i \(0.939272\pi\)
\(488\) −582156. 179571.i −0.110660 0.0341340i
\(489\) 9.51349e6 1.79915
\(490\) −2.78228e6 4.92672e6i −0.523492 0.926975i
\(491\) 3.43877e6 0.643723 0.321861 0.946787i \(-0.395691\pi\)
0.321861 + 0.946787i \(0.395691\pi\)
\(492\) 1.12140e7 + 3.45905e6i 2.08856 + 0.644234i
\(493\) −419628. + 1.06919e6i −0.0777583 + 0.198125i
\(494\) 758536. + 517161.i 0.139849 + 0.0953473i
\(495\) −6.03857e6 + 910168.i −1.10770 + 0.166958i
\(496\) −2.99682e6 + 3.75790e6i −0.546962 + 0.685868i
\(497\) −44280.8 + 9.30681e6i −0.00804127 + 1.69009i
\(498\) −1.38264e7 1.73377e7i −2.49825 3.13270i
\(499\) 2.81155e6 + 2.60874e6i 0.505469 + 0.469006i 0.891204 0.453603i \(-0.149862\pi\)
−0.385735 + 0.922610i \(0.626052\pi\)
\(500\) −6.46300e6 974140.i −1.15614 0.174259i
\(501\) 9.83116e6 9.12198e6i 1.74989 1.62366i
\(502\) 1.08167e7 7.37468e6i 1.91573 1.30612i
\(503\) 648236. + 2.84011e6i 0.114239 + 0.500512i 0.999381 + 0.0351912i \(0.0112040\pi\)
−0.885142 + 0.465321i \(0.845939\pi\)
\(504\) 821300. + 479402.i 0.144021 + 0.0840666i
\(505\) −1.34168e6 + 5.87827e6i −0.234110 + 1.02570i
\(506\) 4.43629e6 + 1.13035e7i 0.770272 + 1.96262i
\(507\) −645640. 8.61547e6i −0.111550 1.48853i
\(508\) −1.72526e6 2.98824e6i −0.296617 0.513755i
\(509\) −251756. + 436054.i −0.0430711 + 0.0746012i −0.886757 0.462235i \(-0.847048\pi\)
0.843686 + 0.536837i \(0.180381\pi\)
\(510\) 1.38463e7 + 6.66804e6i 2.35727 + 1.13520i
\(511\) 316129. 2.03174e6i 0.0535565 0.344204i
\(512\) −7.54084e6 + 3.63148e6i −1.27129 + 0.612221i
\(513\) 192891. 2.57395e6i 0.0323607 0.431823i
\(514\) 8.51584e6 2.62679e6i 1.42174 0.438548i
\(515\) −1.47477e6 + 454905.i −0.245022 + 0.0755793i
\(516\) −183677. + 2.45100e6i −0.0303690 + 0.405246i
\(517\) −5.35942e6 + 2.58096e6i −0.881843 + 0.424673i
\(518\) −1.04065e6 + 6.68819e6i −0.170404 + 1.09518i
\(519\) 1.01584e7 + 4.89204e6i 1.65542 + 0.797209i
\(520\) 35284.5 61114.5i 0.00572236 0.00991142i
\(521\) −4.20756e6 7.28771e6i −0.679104 1.17624i −0.975251 0.221100i \(-0.929035\pi\)
0.296147 0.955142i \(-0.404298\pi\)
\(522\) −114184. 1.52368e6i −0.0183413 0.244748i
\(523\) 1.29408e6 + 3.29726e6i 0.206875 + 0.527108i 0.996222 0.0868384i \(-0.0276764\pi\)
−0.789348 + 0.613946i \(0.789581\pi\)
\(524\) 827297. 3.62462e6i 0.131623 0.576680i
\(525\) −3.77983e6 2.20633e6i −0.598514 0.349360i
\(526\) 323838. + 1.41883e6i 0.0510345 + 0.223597i
\(527\) 8.30405e6 5.66161e6i 1.30246 0.888001i
\(528\) −7.54622e6 + 7.00187e6i −1.17800 + 1.09302i
\(529\) −3.44512e6 519268.i −0.535260 0.0806775i
\(530\) −6.60415e6 6.12775e6i −1.02124 0.947571i
\(531\) −5.34038e6 6.69663e6i −0.821932 1.03067i
\(532\) 32842.5 6.90275e6i 0.00503104 1.05741i
\(533\) 653451. 819401.i 0.0996311 0.124933i
\(534\) −527886. + 79566.0i −0.0801100 + 0.0120746i
\(535\) 5.09802e6 + 3.47577e6i 0.770047 + 0.525009i
\(536\) 381196. 971273.i 0.0573109 0.146026i
\(537\) 9.51355e6 + 2.93454e6i 1.42366 + 0.439142i
\(538\) −1.16801e6 −0.173977
\(539\) −7.82473e6 1.25565e6i −1.16011 0.186164i
\(540\) −2.42445e6 −0.357791
\(541\) 7.40920e6 + 2.28544e6i 1.08837 + 0.335719i 0.786476 0.617621i \(-0.211903\pi\)
0.301899 + 0.953340i \(0.402380\pi\)
\(542\) 835901. 2.12984e6i 0.122224 0.311422i
\(543\) 9.87306e6 + 6.73134e6i 1.43698 + 0.979719i
\(544\) 1.58789e7 2.39336e6i 2.30051 0.346746i
\(545\) 3.15053e6 3.95063e6i 0.454351 0.569739i
\(546\) 1.44364e6 1.14007e6i 0.207242 0.163663i
\(547\) −3.99201e6 5.00582e6i −0.570457 0.715331i 0.409995 0.912088i \(-0.365530\pi\)
−0.980452 + 0.196757i \(0.936959\pi\)
\(548\) −7.01238e6 6.50654e6i −0.997503 0.925547i
\(549\) 8.12562e6 + 1.22474e6i 1.15060 + 0.173426i
\(550\) −4.04060e6 + 3.74913e6i −0.569560 + 0.528474i
\(551\) −749926. + 511291.i −0.105230 + 0.0717446i
\(552\) 385932. + 1.69088e6i 0.0539092 + 0.236192i
\(553\) 1.67457e6 + 2.48143e6i 0.232858 + 0.345055i
\(554\) −322295. + 1.41207e6i −0.0446148 + 0.195470i
\(555\) −2.26809e6 5.77901e6i −0.312556 0.796381i
\(556\) 802344. + 1.07065e7i 0.110071 + 1.46880i
\(557\) −3.53338e6 6.12000e6i −0.482562 0.835821i 0.517238 0.855842i \(-0.326960\pi\)
−0.999800 + 0.0200205i \(0.993627\pi\)
\(558\) −6.68498e6 + 1.15787e7i −0.908896 + 1.57425i
\(559\) 197768. + 95240.2i 0.0267687 + 0.0128911i
\(560\) 4.92323e6 345398.i 0.663407 0.0465425i
\(561\) 1.93936e7 9.33944e6i 2.60166 1.25289i
\(562\) 105866. 1.41269e6i 0.0141389 0.188671i
\(563\) 828977. 255706.i 0.110223 0.0339993i −0.239153 0.970982i \(-0.576870\pi\)
0.349376 + 0.936983i \(0.386394\pi\)
\(564\) −9.92074e6 + 3.06014e6i −1.31325 + 0.405083i
\(565\) 580936. 7.75205e6i 0.0765609 1.02163i
\(566\) −2.09905e6 + 1.01085e6i −0.275411 + 0.132631i
\(567\) 4.40163e6 + 1.75173e6i 0.574985 + 0.228828i
\(568\) 1.50835e6 + 726385.i 0.196170 + 0.0944705i
\(569\) −2.26574e6 + 3.92437e6i −0.293379 + 0.508148i −0.974607 0.223924i \(-0.928113\pi\)
0.681227 + 0.732072i \(0.261446\pi\)
\(570\) 6.07214e6 + 1.05173e7i 0.782807 + 1.35586i
\(571\) −439256. 5.86146e6i −0.0563802 0.752342i −0.951722 0.306962i \(-0.900688\pi\)
0.895342 0.445380i \(-0.146931\pi\)
\(572\) −441254. 1.12430e6i −0.0563896 0.143678i
\(573\) 2.04749e6 8.97064e6i 0.260517 1.14140i
\(574\) −1.50678e7 1.20129e6i −1.90884 0.152184i
\(575\) −1.00205e6 4.39026e6i −0.126392 0.553759i
\(576\) −9.96066e6 + 6.79107e6i −1.25093 + 0.852868i
\(577\) −1.07144e7 + 9.94146e6i −1.33976 + 1.24311i −0.393651 + 0.919260i \(0.628788\pi\)
−0.946107 + 0.323853i \(0.895022\pi\)
\(578\) −1.87401e7 2.82462e6i −2.33320 0.351674i
\(579\) −6.88317e6 6.38665e6i −0.853281 0.791729i
\(580\) 531545. + 666536.i 0.0656100 + 0.0822723i
\(581\) 1.15980e7 + 9.33968e6i 1.42541 + 1.14787i
\(582\) 97231.9 121925.i 0.0118988 0.0149206i
\(583\) −1.24775e7 + 1.88068e6i −1.52039 + 0.229162i
\(584\) −305602. 208356.i −0.0370787 0.0252798i
\(585\) −347753. + 886061.i −0.0420128 + 0.107047i
\(586\) −3.98898e6 1.23044e6i −0.479863 0.148018i
\(587\) −1.45028e7 −1.73723 −0.868615 0.495488i \(-0.834989\pi\)
−0.868615 + 0.495488i \(0.834989\pi\)
\(588\) −1.31774e7 4.20243e6i −1.57176 0.501253i
\(589\) 7.94203e6 0.943286
\(590\) 8.75975e6 + 2.70202e6i 1.03600 + 0.319565i
\(591\) −7.81882e6 + 1.99220e7i −0.920815 + 2.34620i
\(592\) −4.87818e6 3.32589e6i −0.572076 0.390035i
\(593\) 566282. 85353.3i 0.0661296 0.00996744i −0.115894 0.993262i \(-0.536973\pi\)
0.182024 + 0.983294i \(0.441735\pi\)
\(594\) −4.06117e6 + 5.09255e6i −0.472264 + 0.592201i
\(595\) −1.00500e7 2.34421e6i −1.16379 0.271458i
\(596\) −1.09778e7 1.37657e7i −1.26590 1.58739i
\(597\) −4.81285e6 4.46567e6i −0.552671 0.512803i
\(598\) 1.87156e6 + 282093.i 0.214019 + 0.0322581i
\(599\) 4.25566e6 3.94867e6i 0.484618 0.449660i −0.399631 0.916676i \(-0.630862\pi\)
0.884249 + 0.467017i \(0.154671\pi\)
\(600\) −650482. + 443491.i −0.0737661 + 0.0502929i
\(601\) −459449. 2.01298e6i −0.0518862 0.227328i 0.942336 0.334668i \(-0.108624\pi\)
−0.994222 + 0.107339i \(0.965767\pi\)
\(602\) −456944. 3.13269e6i −0.0513892 0.352311i
\(603\) −3.13170e6 + 1.37209e7i −0.350742 + 1.53670i
\(604\) −367351. 935996.i −0.0409722 0.104395i
\(605\) −188553. 2.51607e6i −0.0209433 0.279469i
\(606\) 1.41360e7 + 2.44843e7i 1.56367 + 2.70836i
\(607\) 2.54156e6 4.40211e6i 0.279981 0.484942i −0.691399 0.722474i \(-0.743005\pi\)
0.971380 + 0.237532i \(0.0763384\pi\)
\(608\) 1.14329e7 + 5.50578e6i 1.25429 + 0.604032i
\(609\) 527781. + 1.74038e6i 0.0576648 + 0.190152i
\(610\) −7.92372e6 + 3.81586e6i −0.862194 + 0.415211i
\(611\) −69288.9 + 924597.i −0.00750863 + 0.100196i
\(612\) 2.02531e7 6.24724e6i 2.18581 0.674233i
\(613\) −3.25513e6 + 1.00407e6i −0.349878 + 0.107923i −0.464713 0.885461i \(-0.653842\pi\)
0.114834 + 0.993385i \(0.463366\pi\)
\(614\) −1.38288e6 + 1.84533e7i −0.148035 + 1.97539i
\(615\) 1.24909e7 6.01532e6i 1.33170 0.641314i
\(616\) −808628. + 1.17400e6i −0.0858612 + 0.124657i
\(617\) 237808. + 114522.i 0.0251485 + 0.0121109i 0.446416 0.894826i \(-0.352700\pi\)
−0.421267 + 0.906937i \(0.638415\pi\)
\(618\) −3.61835e6 + 6.26716e6i −0.381100 + 0.660085i
\(619\) 1.83682e6 + 3.18147e6i 0.192682 + 0.333735i 0.946138 0.323763i \(-0.104948\pi\)
−0.753456 + 0.657498i \(0.771615\pi\)
\(620\) −557474. 7.43897e6i −0.0582432 0.777202i
\(621\) −1.94414e6 4.95358e6i −0.202301 0.515454i
\(622\) 140059. 613638.i 0.0145156 0.0635969i
\(623\) 334317. 129378.i 0.0345095 0.0133549i
\(624\) 357048. + 1.56433e6i 0.0367083 + 0.160830i
\(625\) −2.68825e6 + 1.83282e6i −0.275277 + 0.187680i
\(626\) 3.73867e6 3.46898e6i 0.381313 0.353807i
\(627\) 1.68196e7 + 2.53515e6i 1.70863 + 0.257534i
\(628\) 3.42343e6 + 3.17648e6i 0.346388 + 0.321401i
\(629\) 7.69723e6 + 9.65202e6i 0.775725 + 0.972729i
\(630\) 1.33984e7 2.99111e6i 1.34494 0.300248i
\(631\) 3.10946e6 3.89915e6i 0.310894 0.389849i −0.601696 0.798725i \(-0.705508\pi\)
0.912590 + 0.408877i \(0.134079\pi\)
\(632\) 532481. 80258.7i 0.0530288 0.00799281i
\(633\) 7.21533e6 + 4.91933e6i 0.715726 + 0.487974i
\(634\) −4.54946e6 + 1.15918e7i −0.449507 + 1.14532i
\(635\) −3.89528e6 1.20153e6i −0.383357 0.118250i
\(636\) −2.20230e7 −2.15891
\(637\) −779314. + 958376.i −0.0760963 + 0.0935810i
\(638\) 2.29044e6 0.222775
\(639\) −2.15783e7 6.65601e6i −2.09057 0.644855i
\(640\) 715571. 1.82324e6i 0.0690562 0.175952i
\(641\) −1.07857e6 735353.i −0.103682 0.0706889i 0.510369 0.859955i \(-0.329509\pi\)
−0.614051 + 0.789266i \(0.710461\pi\)
\(642\) 2.86087e7 4.31207e6i 2.73944 0.412904i
\(643\) 4.85005e6 6.08177e6i 0.462614 0.580100i −0.494731 0.869046i \(-0.664733\pi\)
0.957345 + 0.288946i \(0.0933049\pi\)
\(644\) −6.11358e6 1.28510e7i −0.580872 1.22102i
\(645\) 1.81041e6 + 2.27019e6i 0.171348 + 0.214863i
\(646\) −1.77031e7 1.64261e7i −1.66904 1.54865i
\(647\) −2.20264e6 331995.i −0.206863 0.0311796i 0.0447931 0.998996i \(-0.485737\pi\)
−0.251656 + 0.967817i \(0.580975\pi\)
\(648\) 624687. 579625.i 0.0584420 0.0542263i
\(649\) 1.06086e7 7.23279e6i 0.988654 0.674053i
\(650\) 191180. + 837615.i 0.0177484 + 0.0777609i
\(651\) 4.76290e6 1.51841e7i 0.440473 1.40422i
\(652\) −3.12462e6 + 1.36899e7i −0.287858 + 1.26119i
\(653\) 5.39327e6 + 1.37418e7i 0.494959 + 1.26114i 0.932250 + 0.361815i \(0.117843\pi\)
−0.437291 + 0.899320i \(0.644062\pi\)
\(654\) −1.77064e6 2.36275e7i −0.161877 2.16010i
\(655\) −2.19609e6 3.80374e6i −0.200008 0.346424i
\(656\) 6.59242e6 1.14184e7i 0.598116 1.03597i
\(657\) 4.49490e6 + 2.16463e6i 0.406262 + 0.195646i
\(658\) 1.16126e7 6.63104e6i 1.04559 0.597059i
\(659\) 4.08921e6 1.96926e6i 0.366797 0.176640i −0.241401 0.970425i \(-0.577607\pi\)
0.608198 + 0.793785i \(0.291893\pi\)
\(660\) 1.19395e6 1.59322e7i 0.106691 1.42369i
\(661\) −3.59356e6 + 1.10847e6i −0.319905 + 0.0986776i −0.450549 0.892752i \(-0.648772\pi\)
0.130644 + 0.991429i \(0.458295\pi\)
\(662\) 2.21480e7 6.83176e6i 1.96422 0.605881i
\(663\) 250729. 3.34574e6i 0.0221524 0.295603i
\(664\) 2.41336e6 1.16221e6i 0.212423 0.102298i
\(665\) −5.51821e6 6.00426e6i −0.483887 0.526508i
\(666\) −1.47965e7 7.12564e6i −1.29263 0.622498i
\(667\) −935610. + 1.62052e6i −0.0814293 + 0.141040i
\(668\) 9.89754e6 + 1.71430e7i 0.858195 + 1.48644i
\(669\) 2.26419e6 + 3.02135e7i 0.195590 + 2.60997i
\(670\) −5.50292e6 1.40212e7i −0.473594 1.20670i
\(671\) −2.74103e6 + 1.20092e7i −0.235021 + 1.02969i
\(672\) 1.73827e7 1.85562e7i 1.48489 1.58514i
\(673\) 4.49452e6 + 1.96918e7i 0.382513 + 1.67590i 0.689580 + 0.724210i \(0.257795\pi\)
−0.307067 + 0.951688i \(0.599348\pi\)
\(674\) −1.34430e7 + 9.16530e6i −1.13985 + 0.777136i
\(675\) 1.77073e6 1.64300e6i 0.149587 0.138796i
\(676\) 1.26097e7 + 1.90060e6i 1.06130 + 0.159965i
\(677\) −8.86668e6 8.22708e6i −0.743515 0.689881i 0.214460 0.976733i \(-0.431201\pi\)
−0.957975 + 0.286852i \(0.907391\pi\)
\(678\) −2.27270e7 2.84988e7i −1.89875 2.38096i
\(679\) −45884.1 + 94131.0i −0.00381934 + 0.00783535i
\(680\) −1.15741e6 + 1.45135e6i −0.0959875 + 0.120365i
\(681\) −2.30951e6 + 348103.i −0.190833 + 0.0287634i
\(682\) −1.65593e7 1.12900e7i −1.36327 0.929462i
\(683\) 7.37383e6 1.87882e7i 0.604841 1.54111i −0.219854 0.975533i \(-0.570558\pi\)
0.824695 0.565577i \(-0.191347\pi\)
\(684\) 1.60043e7 + 4.93669e6i 1.30797 + 0.403455i
\(685\) −1.13011e7 −0.920225
\(686\) 1.77447e7 + 1.58477e6i 1.43965 + 0.128575i
\(687\) −1.59527e7 −1.28956
\(688\) 2.63877e6 + 813953.i 0.212535 + 0.0655584i
\(689\) −718562. + 1.83087e6i −0.0576655 + 0.146929i
\(690\) 2.06866e7 + 1.41039e7i 1.65412 + 1.12776i
\(691\) 3.71141e6 559405.i 0.295695 0.0445688i 0.000480515 1.00000i \(-0.499847\pi\)
0.295214 + 0.955431i \(0.404609\pi\)
\(692\) −1.03761e7 + 1.30112e7i −0.823699 + 1.03289i
\(693\) 8.42511e6 1.72841e7i 0.666412 1.36714i
\(694\) 7.83204e6 + 9.82107e6i 0.617271 + 0.774034i
\(695\) 9.29800e6 + 8.62728e6i 0.730176 + 0.677504i
\(696\) 323488. + 48758.0i 0.0253125 + 0.00381525i
\(697\) −2.02098e7 + 1.87520e7i −1.57573 + 1.46206i
\(698\) 289186. 197164.i 0.0224667 0.0153175i
\(699\) −679400. 2.97665e6i −0.0525936 0.230428i
\(700\) 4.41636e6 4.71451e6i 0.340658 0.363657i
\(701\) −3.40763e6 + 1.49298e7i −0.261913 + 1.14752i 0.657260 + 0.753664i \(0.271715\pi\)
−0.919174 + 0.393853i \(0.871142\pi\)
\(702\) 370921. + 945090.i 0.0284078 + 0.0723820i
\(703\) 729034. + 9.72828e6i 0.0556364 + 0.742417i
\(704\) −9.03567e6 1.56502e7i −0.687114 1.19012i
\(705\) −6.13253e6 + 1.06219e7i −0.464694 + 0.804874i
\(706\) 9.04547e6 + 4.35607e6i 0.682998 + 0.328915i
\(707\) −1.28465e7 1.39780e7i −0.966574 1.05171i
\(708\) 2.01898e7 9.72291e6i 1.51373 0.728976i
\(709\) −103782. + 1.38488e6i −0.00775366 + 0.103465i −0.999738 0.0228968i \(-0.992711\pi\)
0.991984 + 0.126362i \(0.0403301\pi\)
\(710\) 2.30941e7 7.12360e6i 1.71932 0.530339i
\(711\) −6.94073e6 + 2.14093e6i −0.514910 + 0.158829i
\(712\) 4818.88 64303.5i 0.000356243 0.00475373i
\(713\) 1.47521e7 7.10423e6i 1.08675 0.523351i
\(714\) −4.20211e7 + 2.39950e7i −3.08476 + 1.76147i
\(715\) −1.28555e6 619090.i −0.0940427 0.0452886i
\(716\) −7.34744e6 + 1.27261e7i −0.535616 + 0.927714i
\(717\) −4.64421e6 8.04401e6i −0.337376 0.584353i
\(718\) −527552. 7.03970e6i −0.0381904 0.509616i
\(719\) 60562.4 + 154310.i 0.00436899 + 0.0111320i 0.933042 0.359768i \(-0.117144\pi\)
−0.928673 + 0.370900i \(0.879049\pi\)
\(720\) −2.66462e6 + 1.16744e7i −0.191559 + 0.839276i
\(721\) 1.45442e6 4.63667e6i 0.104196 0.332176i
\(722\) 258508. + 1.13260e6i 0.0184557 + 0.0808597i
\(723\) 2.38185e7 1.62392e7i 1.69460 1.15536i
\(724\) −1.29291e7 + 1.19964e7i −0.916688 + 0.850562i
\(725\) −839917. 126597.i −0.0593460 0.00894497i
\(726\) −8.67270e6 8.04709e6i −0.610679 0.566627i
\(727\) −8.79779e6 1.10321e7i −0.617358 0.774143i 0.370612 0.928788i \(-0.379148\pi\)
−0.987970 + 0.154645i \(0.950577\pi\)
\(728\) 95454.3 + 200649.i 0.00667524 + 0.0140317i
\(729\) −1.32109e7 + 1.65659e7i −0.920690 + 1.15451i
\(730\) −5.27980e6 + 795801.i −0.366699 + 0.0552710i
\(731\) −4.77086e6 3.25272e6i −0.330220 0.225140i
\(732\) −7.85440e6 + 2.00127e7i −0.541796 + 1.38047i
\(733\) 1.80878e7 + 5.57935e6i 1.24344 + 0.383551i 0.845558 0.533884i \(-0.179268\pi\)
0.397885 + 0.917435i \(0.369744\pi\)
\(734\) 3.29895e7 2.26014
\(735\) −1.47886e7 + 6.94926e6i −1.00974 + 0.474482i
\(736\) 2.61612e7 1.78018
\(737\) −2.01596e7 6.21840e6i −1.36714 0.421706i
\(738\) 1.33990e7 3.41400e7i 0.905588 2.30740i
\(739\) −1.67559e7 1.14240e7i −1.12865 0.769498i −0.152865 0.988247i \(-0.548850\pi\)
−0.975781 + 0.218749i \(0.929802\pi\)
\(740\) 9.06091e6 1.36571e6i 0.608264 0.0916811i
\(741\) 1.65304e6 2.07285e6i 0.110596 0.138683i
\(742\) 2.76851e7 6.18052e6i 1.84602 0.412112i
\(743\) −5.82693e6 7.30674e6i −0.387229 0.485570i 0.549565 0.835451i \(-0.314793\pi\)
−0.936794 + 0.349881i \(0.886222\pi\)
\(744\) −2.09841e6 1.94704e6i −0.138982 0.128956i
\(745\) −2.05683e7 3.10017e6i −1.35771 0.204642i
\(746\) −2.53820e7 + 2.35511e7i −1.66986 + 1.54940i
\(747\) −2.98522e7 + 2.03529e7i −1.95738 + 1.33452i
\(748\) 7.06978e6 + 3.09747e7i 0.462010 + 2.02420i
\(749\) −1.81183e7 + 7.01161e6i −1.18008 + 0.456681i
\(750\) −8.05663e6 + 3.52984e7i −0.522998 + 2.29141i
\(751\) 6.11386e6 + 1.55779e7i 0.395563 + 1.00788i 0.980451 + 0.196764i \(0.0630434\pi\)
−0.584888 + 0.811114i \(0.698861\pi\)
\(752\) 871676. + 1.16317e7i 0.0562096 + 0.750065i
\(753\) −1.89035e7 3.27419e7i −1.21494 2.10434i
\(754\) 178505. 309179.i 0.0114346 0.0198053i
\(755\) −1.07024e6 515402.i −0.0683306 0.0329063i
\(756\) 4.33021e6 6.28678e6i 0.275553 0.400059i
\(757\) −1.38906e7 + 6.68935e6i −0.881009 + 0.424272i −0.818993 0.573803i \(-0.805467\pi\)
−0.0620163 + 0.998075i \(0.519753\pi\)
\(758\) 1.08257e6 1.44459e7i 0.0684358 0.913212i
\(759\) 3.35097e7 1.03364e7i 2.11138 0.651274i
\(760\) −1.40174e6 + 432380.i −0.0880307 + 0.0271539i
\(761\)