Properties

Label 49.6.g.a.25.17
Level $49$
Weight $6$
Character 49.25
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 25.17
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.34627 - 1.64911i) q^{2} +(-3.67157 - 9.35501i) q^{3} +(-0.576558 + 0.393090i) q^{4} +(96.5461 + 14.5520i) q^{5} +(-35.0566 - 43.9596i) q^{6} +(41.8489 - 122.702i) q^{7} +(-114.061 + 143.027i) q^{8} +(104.096 - 96.5868i) q^{9} +O(q^{10})\) \(q+(5.34627 - 1.64911i) q^{2} +(-3.67157 - 9.35501i) q^{3} +(-0.576558 + 0.393090i) q^{4} +(96.5461 + 14.5520i) q^{5} +(-35.0566 - 43.9596i) q^{6} +(41.8489 - 122.702i) q^{7} +(-114.061 + 143.027i) q^{8} +(104.096 - 96.5868i) q^{9} +(540.160 - 81.4160i) q^{10} +(-160.772 - 149.175i) q^{11} +(5.79424 + 3.95045i) q^{12} +(241.656 - 1058.76i) q^{13} +(21.3876 - 725.009i) q^{14} +(-218.342 - 956.619i) q^{15} +(-365.773 + 931.975i) q^{16} +(-132.666 + 1770.31i) q^{17} +(397.243 - 688.044i) q^{18} +(548.533 + 950.088i) q^{19} +(-61.3847 + 29.5613i) q^{20} +(-1301.53 + 59.0106i) q^{21} +(-1105.54 - 532.398i) q^{22} +(98.4796 + 1314.12i) q^{23} +(1756.80 + 541.902i) q^{24} +(6123.23 + 1888.77i) q^{25} +(-454.055 - 6058.95i) q^{26} +(-3486.00 - 1678.77i) q^{27} +(24.1045 + 87.1949i) q^{28} +(-1279.27 + 616.066i) q^{29} +(-2744.88 - 4754.28i) q^{30} +(-2960.80 + 5128.26i) q^{31} +(18.8760 - 251.883i) q^{32} +(-805.244 + 2051.73i) q^{33} +(2210.15 + 9683.32i) q^{34} +(5825.90 - 11237.4i) q^{35} +(-22.0499 + 96.6069i) q^{36} +(7079.90 + 4827.00i) q^{37} +(4499.41 + 4174.84i) q^{38} +(-10792.0 + 1626.63i) q^{39} +(-13093.4 + 12148.9i) q^{40} +(-2833.77 + 3553.44i) q^{41} +(-6861.00 + 2461.84i) q^{42} +(-3444.24 - 4318.94i) q^{43} +(151.333 + 22.8098i) q^{44} +(11455.6 - 7810.28i) q^{45} +(2693.62 + 6863.24i) q^{46} +(-25024.4 + 7718.99i) q^{47} +10061.6 q^{48} +(-13304.3 - 10269.8i) q^{49} +35851.2 q^{50} +(17048.3 - 5258.71i) q^{51} +(276.861 + 705.430i) q^{52} +(-3827.56 + 2609.58i) q^{53} +(-21405.6 - 3226.38i) q^{54} +(-13351.1 - 16741.8i) q^{55} +(12776.4 + 19980.9i) q^{56} +(6874.10 - 8619.85i) q^{57} +(-5823.39 + 5403.31i) q^{58} +(-25509.1 + 3844.87i) q^{59} +(501.925 + 465.718i) q^{60} +(22672.5 + 15457.8i) q^{61} +(-7372.21 + 32299.8i) q^{62} +(-7495.05 - 16814.8i) q^{63} +(-7443.56 - 32612.4i) q^{64} +(38738.0 - 98702.8i) q^{65} +(-921.536 + 12297.0i) q^{66} +(16889.4 - 29253.3i) q^{67} +(-619.401 - 1072.83i) q^{68} +(11932.0 - 5746.16i) q^{69} +(12615.2 - 69685.6i) q^{70} +(46648.2 + 22464.6i) q^{71} +(1941.33 + 25905.3i) q^{72} +(45639.7 + 14078.0i) q^{73} +(45811.3 + 14130.9i) q^{74} +(-4812.45 - 64217.6i) q^{75} +(-689.732 - 332.157i) q^{76} +(-25032.1 + 13484.2i) q^{77} +(-55014.4 + 26493.6i) q^{78} +(-5132.93 - 8890.50i) q^{79} +(-48876.1 + 84655.9i) q^{80} +(-327.113 + 4365.02i) q^{81} +(-9290.12 + 23670.8i) q^{82} +(-7969.15 - 34915.1i) q^{83} +(727.208 - 545.640i) q^{84} +(-38569.9 + 168986. i) q^{85} +(-25536.2 - 17410.3i) q^{86} +(10460.2 + 9705.69i) q^{87} +(39673.8 - 5979.86i) q^{88} +(-62132.7 + 57650.7i) q^{89} +(48364.6 - 60647.4i) q^{90} +(-119799. - 73959.5i) q^{91} +(-573.347 - 718.954i) q^{92} +(58845.8 + 8869.57i) q^{93} +(-121058. + 82535.7i) q^{94} +(39133.1 + 99709.6i) q^{95} +(-2425.67 + 748.220i) q^{96} +82720.4 q^{97} +(-88064.7 - 32965.1i) q^{98} -31144.0 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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.34627 1.64911i 0.945096 0.291524i 0.216357 0.976314i \(-0.430583\pi\)
0.728740 + 0.684791i \(0.240106\pi\)
\(3\) −3.67157 9.35501i −0.235531 0.600124i 0.763420 0.645902i \(-0.223519\pi\)
−0.998952 + 0.0457778i \(0.985423\pi\)
\(4\) −0.576558 + 0.393090i −0.0180174 + 0.0122841i
\(5\) 96.5461 + 14.5520i 1.72707 + 0.260314i 0.936149 0.351604i \(-0.114364\pi\)
0.790921 + 0.611918i \(0.209602\pi\)
\(6\) −35.0566 43.9596i −0.397550 0.498512i
\(7\) 41.8489 122.702i 0.322804 0.946466i
\(8\) −114.061 + 143.027i −0.630101 + 0.790122i
\(9\) 104.096 96.5868i 0.428378 0.397476i
\(10\) 540.160 81.4160i 1.70814 0.257460i
\(11\) −160.772 149.175i −0.400616 0.371718i 0.453979 0.891012i \(-0.350004\pi\)
−0.854595 + 0.519295i \(0.826195\pi\)
\(12\) 5.79424 + 3.95045i 0.0116156 + 0.00791941i
\(13\) 241.656 1058.76i 0.396587 1.73756i −0.244092 0.969752i \(-0.578490\pi\)
0.640679 0.767809i \(-0.278653\pi\)
\(14\) 21.3876 725.009i 0.0291637 0.988607i
\(15\) −218.342 956.619i −0.250559 1.09777i
\(16\) −365.773 + 931.975i −0.357200 + 0.910132i
\(17\) −132.666 + 1770.31i −0.111337 + 1.48568i 0.609615 + 0.792697i \(0.291324\pi\)
−0.720952 + 0.692985i \(0.756295\pi\)
\(18\) 397.243 688.044i 0.288984 0.500536i
\(19\) 548.533 + 950.088i 0.348593 + 0.603781i 0.986000 0.166746i \(-0.0533261\pi\)
−0.637406 + 0.770528i \(0.719993\pi\)
\(20\) −61.3847 + 29.5613i −0.0343151 + 0.0165253i
\(21\) −1301.53 + 59.0106i −0.644028 + 0.0291999i
\(22\) −1105.54 532.398i −0.486986 0.234520i
\(23\) 98.4796 + 1314.12i 0.0388174 + 0.517983i 0.982393 + 0.186826i \(0.0598199\pi\)
−0.943576 + 0.331157i \(0.892561\pi\)
\(24\) 1756.80 + 541.902i 0.622580 + 0.192041i
\(25\) 6123.23 + 1888.77i 1.95943 + 0.604405i
\(26\) −454.055 6058.95i −0.131727 1.75778i
\(27\) −3486.00 1678.77i −0.920277 0.443182i
\(28\) 24.1045 + 87.1949i 0.00581036 + 0.0210182i
\(29\) −1279.27 + 616.066i −0.282467 + 0.136029i −0.569753 0.821816i \(-0.692961\pi\)
0.287286 + 0.957845i \(0.407247\pi\)
\(30\) −2744.88 4754.28i −0.556828 0.964454i
\(31\) −2960.80 + 5128.26i −0.553357 + 0.958443i 0.444672 + 0.895693i \(0.353320\pi\)
−0.998029 + 0.0627492i \(0.980013\pi\)
\(32\) 18.8760 251.883i 0.00325863 0.0434834i
\(33\) −805.244 + 2051.73i −0.128719 + 0.327971i
\(34\) 2210.15 + 9683.32i 0.327888 + 1.43657i
\(35\) 5825.90 11237.4i 0.803883 1.55058i
\(36\) −22.0499 + 96.6069i −0.00283564 + 0.0124237i
\(37\) 7079.90 + 4827.00i 0.850204 + 0.579659i 0.908143 0.418661i \(-0.137501\pi\)
−0.0579390 + 0.998320i \(0.518453\pi\)
\(38\) 4499.41 + 4174.84i 0.505471 + 0.469009i
\(39\) −10792.0 + 1626.63i −1.13616 + 0.171249i
\(40\) −13093.4 + 12148.9i −1.29391 + 1.20057i
\(41\) −2833.77 + 3553.44i −0.263272 + 0.330133i −0.895844 0.444369i \(-0.853428\pi\)
0.632572 + 0.774502i \(0.281999\pi\)
\(42\) −6861.00 + 2461.84i −0.600156 + 0.215346i
\(43\) −3444.24 4318.94i −0.284068 0.356210i 0.619241 0.785201i \(-0.287440\pi\)
−0.903309 + 0.428992i \(0.858869\pi\)
\(44\) 151.333 + 22.8098i 0.0117843 + 0.00177620i
\(45\) 11455.6 7810.28i 0.843307 0.574957i
\(46\) 2693.62 + 6863.24i 0.187690 + 0.478227i
\(47\) −25024.4 + 7718.99i −1.65241 + 0.509701i −0.974299 0.225257i \(-0.927678\pi\)
−0.678112 + 0.734958i \(0.737202\pi\)
\(48\) 10061.6 0.630324
\(49\) −13304.3 10269.8i −0.791595 0.611046i
\(50\) 35851.2 2.02805
\(51\) 17048.3 5258.71i 0.917817 0.283109i
\(52\) 276.861 + 705.430i 0.0141989 + 0.0361781i
\(53\) −3827.56 + 2609.58i −0.187168 + 0.127609i −0.653279 0.757117i \(-0.726607\pi\)
0.466111 + 0.884726i \(0.345655\pi\)
\(54\) −21405.6 3226.38i −0.998948 0.150567i
\(55\) −13351.1 16741.8i −0.595129 0.746268i
\(56\) 12776.4 + 19980.9i 0.544424 + 0.851424i
\(57\) 6874.10 8619.85i 0.280239 0.351409i
\(58\) −5823.39 + 5403.31i −0.227303 + 0.210907i
\(59\) −25509.1 + 3844.87i −0.954036 + 0.143798i −0.607571 0.794265i \(-0.707856\pi\)
−0.346465 + 0.938063i \(0.612618\pi\)
\(60\) 501.925 + 465.718i 0.0179995 + 0.0167011i
\(61\) 22672.5 + 15457.8i 0.780143 + 0.531893i 0.886662 0.462418i \(-0.153018\pi\)
−0.106519 + 0.994311i \(0.533970\pi\)
\(62\) −7372.21 + 32299.8i −0.243567 + 1.06714i
\(63\) −7495.05 16814.8i −0.237916 0.533752i
\(64\) −7443.56 32612.4i −0.227159 0.995250i
\(65\) 38738.0 98702.8i 1.13724 2.89765i
\(66\) −921.536 + 12297.0i −0.0260407 + 0.347489i
\(67\) 16889.4 29253.3i 0.459650 0.796138i −0.539292 0.842119i \(-0.681308\pi\)
0.998942 + 0.0459810i \(0.0146414\pi\)
\(68\) −619.401 1072.83i −0.0162442 0.0281358i
\(69\) 11932.0 5746.16i 0.301711 0.145296i
\(70\) 12615.2 69685.6i 0.307716 1.69980i
\(71\) 46648.2 + 22464.6i 1.09822 + 0.528874i 0.893098 0.449863i \(-0.148527\pi\)
0.205120 + 0.978737i \(0.434241\pi\)
\(72\) 1941.33 + 25905.3i 0.0441335 + 0.588921i
\(73\) 45639.7 + 14078.0i 1.00239 + 0.309196i 0.752152 0.658989i \(-0.229016\pi\)
0.250235 + 0.968185i \(0.419492\pi\)
\(74\) 45811.3 + 14130.9i 0.972509 + 0.299979i
\(75\) −4812.45 64217.6i −0.0987899 1.31826i
\(76\) −689.732 332.157i −0.0136977 0.00659644i
\(77\) −25032.1 + 13484.2i −0.481139 + 0.259178i
\(78\) −55014.4 + 26493.6i −1.02386 + 0.493065i
\(79\) −5132.93 8890.50i −0.0925333 0.160272i 0.816043 0.577991i \(-0.196163\pi\)
−0.908576 + 0.417719i \(0.862830\pi\)
\(80\) −48876.1 + 84655.9i −0.853830 + 1.47888i
\(81\) −327.113 + 4365.02i −0.00553969 + 0.0739220i
\(82\) −9290.12 + 23670.8i −0.152576 + 0.388758i
\(83\) −7969.15 34915.1i −0.126975 0.556312i −0.997893 0.0648841i \(-0.979332\pi\)
0.870918 0.491428i \(-0.163525\pi\)
\(84\) 727.208 545.640i 0.0112450 0.00843739i
\(85\) −38569.9 + 168986.i −0.579030 + 2.53689i
\(86\) −25536.2 17410.3i −0.372315 0.253840i
\(87\) 10460.2 + 9705.69i 0.148164 + 0.137476i
\(88\) 39673.8 5979.86i 0.546131 0.0823160i
\(89\) −62132.7 + 57650.7i −0.831467 + 0.771489i −0.975945 0.218019i \(-0.930041\pi\)
0.144477 + 0.989508i \(0.453850\pi\)
\(90\) 48364.6 60647.4i 0.629393 0.789234i
\(91\) −119799. 73959.5i −1.51652 0.936248i
\(92\) −573.347 718.954i −0.00706233 0.00885588i
\(93\) 58845.8 + 8869.57i 0.705518 + 0.106340i
\(94\) −121058. + 82535.7i −1.41310 + 0.963434i
\(95\) 39133.1 + 99709.6i 0.444872 + 1.13352i
\(96\) −2425.67 + 748.220i −0.0268629 + 0.00828612i
\(97\) 82720.4 0.892654 0.446327 0.894870i \(-0.352732\pi\)
0.446327 + 0.894870i \(0.352732\pi\)
\(98\) −88064.7 32965.1i −0.926268 0.346729i
\(99\) −31144.0 −0.319364
\(100\) −4272.85 + 1318.00i −0.0427285 + 0.0131800i
\(101\) −65430.7 166715.i −0.638231 1.62619i −0.772332 0.635220i \(-0.780910\pi\)
0.134100 0.990968i \(-0.457186\pi\)
\(102\) 82472.8 56229.0i 0.784893 0.535131i
\(103\) 98949.8 + 14914.3i 0.919013 + 0.138519i 0.591479 0.806320i \(-0.298544\pi\)
0.327534 + 0.944839i \(0.393782\pi\)
\(104\) 123869. + 155326.i 1.12300 + 1.40819i
\(105\) −126516. 13242.5i −1.11988 0.117219i
\(106\) −16159.7 + 20263.6i −0.139691 + 0.175167i
\(107\) −65660.8 + 60924.3i −0.554430 + 0.514436i −0.906877 0.421396i \(-0.861540\pi\)
0.352447 + 0.935832i \(0.385350\pi\)
\(108\) 2669.79 402.406i 0.0220251 0.00331975i
\(109\) −52389.1 48610.0i −0.422352 0.391886i 0.440162 0.897918i \(-0.354921\pi\)
−0.862514 + 0.506033i \(0.831112\pi\)
\(110\) −98987.7 67488.7i −0.780009 0.531801i
\(111\) 19162.2 83955.2i 0.147618 0.646756i
\(112\) 99047.6 + 83883.1i 0.746103 + 0.631872i
\(113\) 20149.0 + 88278.7i 0.148442 + 0.650369i 0.993318 + 0.115406i \(0.0368170\pi\)
−0.844876 + 0.534962i \(0.820326\pi\)
\(114\) 22535.8 57420.2i 0.162409 0.413812i
\(115\) −9615.22 + 128306.i −0.0677977 + 0.904697i
\(116\) 495.406 858.068i 0.00341835 0.00592075i
\(117\) −77107.1 133553.i −0.520751 0.901966i
\(118\) −130038. + 62622.9i −0.859735 + 0.414027i
\(119\) 211667. + 90363.7i 1.37021 + 0.584960i
\(120\) 161727. + 77883.6i 1.02525 + 0.493734i
\(121\) −8440.79 112634.i −0.0524106 0.699372i
\(122\) 146705. + 45252.4i 0.892370 + 0.275260i
\(123\) 43646.9 + 13463.3i 0.260130 + 0.0802394i
\(124\) −308.797 4120.60i −0.00180351 0.0240662i
\(125\) 288790. + 139074.i 1.65313 + 0.796106i
\(126\) −67799.9 77536.2i −0.380455 0.435089i
\(127\) 21975.0 10582.6i 0.120898 0.0582214i −0.372457 0.928049i \(-0.621485\pi\)
0.493355 + 0.869828i \(0.335770\pi\)
\(128\) −89535.2 155079.i −0.483024 0.836622i
\(129\) −27757.9 + 48078.2i −0.146863 + 0.254374i
\(130\) 44332.4 591575.i 0.230072 3.07009i
\(131\) −36080.9 + 91932.7i −0.183696 + 0.468049i −0.992824 0.119583i \(-0.961844\pi\)
0.809128 + 0.587632i \(0.199940\pi\)
\(132\) −342.245 1499.47i −0.00170963 0.00749039i
\(133\) 139533. 27545.8i 0.683986 0.135029i
\(134\) 42053.6 184249.i 0.202321 0.886426i
\(135\) −312131. 212807.i −1.47402 1.00497i
\(136\) −238070. 220897.i −1.10372 1.02410i
\(137\) −71217.7 + 10734.3i −0.324180 + 0.0488623i −0.309116 0.951024i \(-0.600033\pi\)
−0.0150639 + 0.999887i \(0.504795\pi\)
\(138\) 54315.8 50397.7i 0.242789 0.225275i
\(139\) −128853. + 161577.i −0.565663 + 0.709319i −0.979593 0.200990i \(-0.935584\pi\)
0.413931 + 0.910308i \(0.364156\pi\)
\(140\) 1058.34 + 8769.10i 0.00456356 + 0.0378125i
\(141\) 164090. + 205762.i 0.695079 + 0.871602i
\(142\) 286440. + 43173.9i 1.19210 + 0.179680i
\(143\) −196792. + 134170.i −0.804761 + 0.548677i
\(144\) 51941.0 + 132344.i 0.208739 + 0.531859i
\(145\) −132474. + 40862.8i −0.523251 + 0.161402i
\(146\) 267218. 1.03749
\(147\) −47226.7 + 162169.i −0.180258 + 0.618976i
\(148\) −5979.42 −0.0224391
\(149\) −83977.7 + 25903.7i −0.309884 + 0.0955864i −0.445796 0.895134i \(-0.647079\pi\)
0.135913 + 0.990721i \(0.456603\pi\)
\(150\) −131630. 335389.i −0.477670 1.21708i
\(151\) 239027. 162966.i 0.853107 0.581639i −0.0558917 0.998437i \(-0.517800\pi\)
0.908999 + 0.416798i \(0.136848\pi\)
\(152\) −198455. 29912.2i −0.696710 0.105012i
\(153\) 157178. + 197095.i 0.542830 + 0.680687i
\(154\) −111591. + 113371.i −0.379166 + 0.385211i
\(155\) −360481. + 452028.i −1.20518 + 1.51125i
\(156\) 5582.79 5180.07i 0.0183671 0.0170422i
\(157\) 203388. 30655.7i 0.658530 0.0992574i 0.188728 0.982029i \(-0.439564\pi\)
0.469802 + 0.882772i \(0.344325\pi\)
\(158\) −42103.4 39066.3i −0.134176 0.124497i
\(159\) 38465.9 + 26225.6i 0.120665 + 0.0822682i
\(160\) 5487.80 24043.6i 0.0169472 0.0742505i
\(161\) 165366. + 42910.8i 0.502783 + 0.130467i
\(162\) 5449.55 + 23876.0i 0.0163145 + 0.0714784i
\(163\) 198505. 505782.i 0.585197 1.49106i −0.264818 0.964298i \(-0.585312\pi\)
0.850015 0.526758i \(-0.176593\pi\)
\(164\) 237.011 3162.69i 0.000688111 0.00918221i
\(165\) −107600. + 186369.i −0.307682 + 0.532921i
\(166\) −100184. 173524.i −0.282181 0.488752i
\(167\) 5446.97 2623.12i 0.0151135 0.00727826i −0.426312 0.904576i \(-0.640187\pi\)
0.441425 + 0.897298i \(0.354473\pi\)
\(168\) 140013. 192885.i 0.382731 0.527259i
\(169\) −728057. 350614.i −1.96087 0.944304i
\(170\) 72470.3 + 967049.i 0.192326 + 2.56641i
\(171\) 148866. + 45919.1i 0.389319 + 0.120089i
\(172\) 3683.53 + 1136.22i 0.00949387 + 0.00292847i
\(173\) 29503.3 + 393694.i 0.0749471 + 1.00010i 0.900240 + 0.435395i \(0.143391\pi\)
−0.825293 + 0.564705i \(0.808990\pi\)
\(174\) 71929.1 + 34639.2i 0.180107 + 0.0867351i
\(175\) 488005. 672287.i 1.20456 1.65943i
\(176\) 197833. 95271.4i 0.481412 0.231836i
\(177\) 129627. + 224521.i 0.311002 + 0.538671i
\(178\) −237106. + 410680.i −0.560910 + 0.971524i
\(179\) 4300.13 57381.3i 0.0100311 0.133856i −0.989940 0.141490i \(-0.954811\pi\)
0.999971 + 0.00763363i \(0.00242988\pi\)
\(180\) −3534.66 + 9006.15i −0.00813141 + 0.0207185i
\(181\) −59466.7 260540.i −0.134920 0.591124i −0.996507 0.0835133i \(-0.973386\pi\)
0.861586 0.507611i \(-0.169471\pi\)
\(182\) −762444. 197847.i −1.70620 0.442742i
\(183\) 61364.6 268856.i 0.135453 0.593460i
\(184\) −199188. 135804.i −0.433728 0.295711i
\(185\) 613295. + 569054.i 1.31747 + 1.22243i
\(186\) 329232. 49623.8i 0.697783 0.105174i
\(187\) 285414. 264825.i 0.596858 0.553803i
\(188\) 11393.7 14287.3i 0.0235110 0.0294819i
\(189\) −351873. + 357483.i −0.716525 + 0.727950i
\(190\) 373648. + 468540.i 0.750894 + 0.941591i
\(191\) −138841. 20926.9i −0.275381 0.0415071i 0.00989962 0.999951i \(-0.496849\pi\)
−0.285281 + 0.958444i \(0.592087\pi\)
\(192\) −277760. + 189373.i −0.543771 + 0.370737i
\(193\) 38554.2 + 98234.6i 0.0745039 + 0.189833i 0.963274 0.268520i \(-0.0865347\pi\)
−0.888770 + 0.458353i \(0.848439\pi\)
\(194\) 442246. 136415.i 0.843644 0.260230i
\(195\) −1.06560e6 −2.00681
\(196\) 11707.7 + 691.352i 0.0217686 + 0.00128546i
\(197\) 321799. 0.590771 0.295385 0.955378i \(-0.404552\pi\)
0.295385 + 0.955378i \(0.404552\pi\)
\(198\) −166504. + 51359.7i −0.301830 + 0.0931022i
\(199\) 80481.9 + 205065.i 0.144067 + 0.367078i 0.984634 0.174630i \(-0.0558731\pi\)
−0.840567 + 0.541708i \(0.817778\pi\)
\(200\) −968564. + 660356.i −1.71220 + 1.16736i
\(201\) −335676. 50595.0i −0.586044 0.0883319i
\(202\) −624741. 783400.i −1.07726 1.35084i
\(203\) 22056.0 + 182751.i 0.0375653 + 0.311257i
\(204\) −7762.20 + 9733.49i −0.0130590 + 0.0163754i
\(205\) −325299. + 301834.i −0.540628 + 0.501629i
\(206\) 553608. 83442.9i 0.908938 0.137000i
\(207\) 137178. + 127282.i 0.222514 + 0.206463i
\(208\) 898349. + 612484.i 1.43975 + 0.981604i
\(209\) 53540.2 234575.i 0.0847840 0.371463i
\(210\) −698227. + 137840.i −1.09257 + 0.215689i
\(211\) −243260. 1.06579e6i −0.376152 1.64803i −0.709116 0.705091i \(-0.750906\pi\)
0.332964 0.942940i \(-0.391951\pi\)
\(212\) 1181.01 3009.15i 0.00180473 0.00459838i
\(213\) 38884.3 518874.i 0.0587252 0.783634i
\(214\) −250570. + 434000.i −0.374019 + 0.647821i
\(215\) −269679. 467097.i −0.397878 0.689145i
\(216\) 637726. 307112.i 0.930035 0.447881i
\(217\) 505339. + 577907.i 0.728507 + 0.833123i
\(218\) −360250. 173487.i −0.513408 0.247244i
\(219\) −35869.7 478648.i −0.0505380 0.674382i
\(220\) 14278.7 + 4404.40i 0.0198899 + 0.00613523i
\(221\) 1.84227e6 + 568266.i 2.53731 + 0.782656i
\(222\) −36004.6 480448.i −0.0490316 0.654281i
\(223\) −416984. 200809.i −0.561509 0.270409i 0.131525 0.991313i \(-0.458012\pi\)
−0.693035 + 0.720904i \(0.743727\pi\)
\(224\) −30116.4 12857.1i −0.0401036 0.0171208i
\(225\) 819832. 394810.i 1.07961 0.519915i
\(226\) 253303. + 438734.i 0.329890 + 0.571387i
\(227\) 557083. 964895.i 0.717555 1.24284i −0.244411 0.969672i \(-0.578595\pi\)
0.961966 0.273169i \(-0.0880720\pi\)
\(228\) −574.936 + 7671.99i −0.000732457 + 0.00977397i
\(229\) −320348. + 816233.i −0.403676 + 1.02855i 0.574079 + 0.818800i \(0.305360\pi\)
−0.977755 + 0.209750i \(0.932735\pi\)
\(230\) 160185. + 701817.i 0.199665 + 0.874790i
\(231\) 218052. + 184667.i 0.268862 + 0.227698i
\(232\) 57800.4 253240.i 0.0705035 0.308896i
\(233\) 469269. + 319942.i 0.566281 + 0.386084i 0.812352 0.583168i \(-0.198187\pi\)
−0.246070 + 0.969252i \(0.579139\pi\)
\(234\) −632480. 586855.i −0.755104 0.700634i
\(235\) −2.52833e6 + 381085.i −2.98651 + 0.450144i
\(236\) 13196.1 12244.2i 0.0154228 0.0143103i
\(237\) −64324.8 + 80660.8i −0.0743888 + 0.0932806i
\(238\) 1.28065e6 + 134047.i 1.46551 + 0.153396i
\(239\) −282040. 353667.i −0.319386 0.400498i 0.596059 0.802941i \(-0.296733\pi\)
−0.915445 + 0.402443i \(0.868161\pi\)
\(240\) 971409. + 146416.i 1.08861 + 0.164082i
\(241\) 54687.7 37285.5i 0.0606523 0.0413520i −0.532614 0.846358i \(-0.678790\pi\)
0.593267 + 0.805006i \(0.297838\pi\)
\(242\) −230873. 588255.i −0.253416 0.645695i
\(243\) −856402. + 264165.i −0.930384 + 0.286985i
\(244\) −19148.3 −0.0205900
\(245\) −1.13504e6 1.18512e6i −1.20808 1.26138i
\(246\) 255550. 0.269239
\(247\) 1.13847e6 351173.i 1.18735 0.366250i
\(248\) −395771. 1.00841e6i −0.408616 1.04114i
\(249\) −297372. + 202745.i −0.303950 + 0.207230i
\(250\) 1.77330e6 + 267282.i 1.79445 + 0.270470i
\(251\) −663413. 831893.i −0.664660 0.833457i 0.329182 0.944267i \(-0.393227\pi\)
−0.993842 + 0.110809i \(0.964656\pi\)
\(252\) 10931.1 + 6748.45i 0.0108433 + 0.00669426i
\(253\) 180200. 225964.i 0.176992 0.221941i
\(254\) 100032. 92816.6i 0.0972874 0.0902695i
\(255\) 1.72247e6 259621.i 1.65883 0.250029i
\(256\) 50261.5 + 46635.8i 0.0479331 + 0.0444754i
\(257\) −136125. 92808.4i −0.128560 0.0876505i 0.497333 0.867560i \(-0.334313\pi\)
−0.625893 + 0.779909i \(0.715265\pi\)
\(258\) −69115.5 + 302815.i −0.0646437 + 0.283222i
\(259\) 888566. 666710.i 0.823076 0.617572i
\(260\) 16464.4 + 72135.4i 0.0151048 + 0.0661782i
\(261\) −73663.2 + 187691.i −0.0669344 + 0.170546i
\(262\) −41291.6 + 550998.i −0.0371628 + 0.495903i
\(263\) 106409. 184305.i 0.0948609 0.164304i −0.814690 0.579897i \(-0.803093\pi\)
0.909551 + 0.415593i \(0.136426\pi\)
\(264\) −201607. 349193.i −0.178031 0.308359i
\(265\) −407511. + 196247.i −0.356471 + 0.171667i
\(266\) 700554. 377372.i 0.607069 0.327013i
\(267\) 767448. + 369583.i 0.658826 + 0.317274i
\(268\) 1761.48 + 23505.3i 0.00149810 + 0.0199907i
\(269\) −518767. 160018.i −0.437111 0.134831i 0.0683868 0.997659i \(-0.478215\pi\)
−0.505497 + 0.862828i \(0.668691\pi\)
\(270\) −2.01968e6 622988.i −1.68606 0.520080i
\(271\) 53991.7 + 720470.i 0.0446585 + 0.595926i 0.973977 + 0.226647i \(0.0727763\pi\)
−0.929318 + 0.369279i \(0.879605\pi\)
\(272\) −1.60136e6 771172.i −1.31240 0.632017i
\(273\) −252043. + 1.39227e6i −0.204676 + 1.13062i
\(274\) −363047. + 174834.i −0.292137 + 0.140686i
\(275\) −702688. 1.21709e6i −0.560313 0.970491i
\(276\) −4620.74 + 8003.36i −0.00365123 + 0.00632411i
\(277\) −107543. + 1.43506e6i −0.0842136 + 1.12375i 0.781732 + 0.623615i \(0.214336\pi\)
−0.865946 + 0.500138i \(0.833283\pi\)
\(278\) −422426. + 1.07632e6i −0.327823 + 0.835279i
\(279\) 187115. + 819805.i 0.143912 + 0.630522i
\(280\) 942747. + 2.11500e6i 0.718621 + 1.61219i
\(281\) 182458. 799403.i 0.137847 0.603948i −0.858059 0.513552i \(-0.828329\pi\)
0.995906 0.0903965i \(-0.0288134\pi\)
\(282\) 1.21659e6 + 829460.i 0.911009 + 0.621116i
\(283\) 432613. + 401406.i 0.321095 + 0.297933i 0.824207 0.566289i \(-0.191621\pi\)
−0.503112 + 0.864221i \(0.667812\pi\)
\(284\) −35726.0 + 5384.82i −0.0262838 + 0.00396164i
\(285\) 789104. 732182.i 0.575469 0.533957i
\(286\) −830842. + 1.04184e6i −0.600625 + 0.753160i
\(287\) 317422. + 496416.i 0.227474 + 0.355747i
\(288\) −22363.6 28043.1i −0.0158877 0.0199225i
\(289\) −1.71238e6 258100.i −1.20603 0.181779i
\(290\) −640855. + 436927.i −0.447471 + 0.305080i
\(291\) −303714. 773850.i −0.210248 0.535703i
\(292\) −31847.8 + 9823.76i −0.0218586 + 0.00674249i
\(293\) −290452. −0.197654 −0.0988270 0.995105i \(-0.531509\pi\)
−0.0988270 + 0.995105i \(0.531509\pi\)
\(294\) 14946.7 + 944880.i 0.0100850 + 0.637542i
\(295\) −2.51875e6 −1.68512
\(296\) −1.49793e6 + 462050.i −0.993716 + 0.306521i
\(297\) 310022. + 789922.i 0.203939 + 0.519629i
\(298\) −406250. + 276977.i −0.265004 + 0.180677i
\(299\) 1.41514e6 + 213298.i 0.915421 + 0.137978i
\(300\) 28018.0 + 35133.5i 0.0179736 + 0.0225381i
\(301\) −674078. + 241870.i −0.428838 + 0.153874i
\(302\) 1.00915e6 1.26544e6i 0.636707 0.798406i
\(303\) −1.31938e6 + 1.22421e6i −0.825591 + 0.766036i
\(304\) −1.08610e6 + 163703.i −0.674038 + 0.101595i
\(305\) 1.96400e6 + 1.82232e6i 1.20890 + 1.12170i
\(306\) 1.16535e6 + 794521.i 0.711463 + 0.485067i
\(307\) 108493. 475340.i 0.0656987 0.287845i −0.931397 0.364005i \(-0.881409\pi\)
0.997096 + 0.0761604i \(0.0242661\pi\)
\(308\) 9131.94 17614.3i 0.00548512 0.0105801i
\(309\) −223778. 980435.i −0.133328 0.584148i
\(310\) −1.18178e6 + 3.01114e6i −0.698448 + 1.77962i
\(311\) −110602. + 1.47588e6i −0.0648428 + 0.865268i 0.866046 + 0.499965i \(0.166654\pi\)
−0.930889 + 0.365303i \(0.880965\pi\)
\(312\) 998287. 1.72908e6i 0.580589 1.00561i
\(313\) −1.15339e6 1.99774e6i −0.665452 1.15260i −0.979163 0.203078i \(-0.934906\pi\)
0.313711 0.949519i \(-0.398428\pi\)
\(314\) 1.03681e6 499302.i 0.593438 0.285785i
\(315\) −478930. 1.73247e6i −0.271954 0.983759i
\(316\) 6454.20 + 3108.18i 0.00363601 + 0.00175101i
\(317\) 99010.1 + 1.32120e6i 0.0553390 + 0.738448i 0.954001 + 0.299805i \(0.0969216\pi\)
−0.898661 + 0.438643i \(0.855459\pi\)
\(318\) 248898. + 76774.8i 0.138024 + 0.0425746i
\(319\) 297573. + 91789.0i 0.163726 + 0.0505026i
\(320\) −244072. 3.25692e6i −0.133243 1.77800i
\(321\) 811026. + 390569.i 0.439311 + 0.211561i
\(322\) 954855. 43292.7i 0.513213 0.0232689i
\(323\) −1.75472e6 + 845028.i −0.935839 + 0.450676i
\(324\) −1527.25 2645.27i −0.000808253 0.00139993i
\(325\) 3.47947e6 6.02661e6i 1.82728 3.16494i
\(326\) 227172. 3.03140e6i 0.118389 1.57979i
\(327\) −262397. + 668576.i −0.135703 + 0.345765i
\(328\) −185017. 810614.i −0.0949572 0.416035i
\(329\) −100109. + 3.39356e6i −0.0509900 + 1.72848i
\(330\) −267917. + 1.17382e6i −0.135430 + 0.593358i
\(331\) 1.43380e6 + 977548.i 0.719314 + 0.490420i 0.866807 0.498643i \(-0.166168\pi\)
−0.147493 + 0.989063i \(0.547121\pi\)
\(332\) 18319.5 + 16998.0i 0.00912154 + 0.00846355i
\(333\) 1.20321e6 181355.i 0.594609 0.0896229i
\(334\) 24795.2 23006.6i 0.0121619 0.0112846i
\(335\) 2.05630e6 2.57852e6i 1.00109 1.25533i
\(336\) 421067. 1.23457e6i 0.203471 0.596580i
\(337\) −1.15791e6 1.45198e6i −0.555393 0.696441i 0.422305 0.906454i \(-0.361221\pi\)
−0.977699 + 0.210012i \(0.932650\pi\)
\(338\) −4.47059e6 673833.i −2.12850 0.320819i
\(339\) 751869. 512616.i 0.355339 0.242266i
\(340\) −44188.9 112591.i −0.0207308 0.0528212i
\(341\) 1.24102e6 382804.i 0.577954 0.178275i
\(342\) 871603. 0.402952
\(343\) −1.81690e6 + 1.20268e6i −0.833864 + 0.551970i
\(344\) 1.01058e6 0.460440
\(345\) 1.23561e6 381135.i 0.558899 0.172398i
\(346\) 806976. + 2.05614e6i 0.362385 + 0.923342i
\(347\) −1.63526e6 + 1.11490e6i −0.729061 + 0.497065i −0.870061 0.492944i \(-0.835921\pi\)
0.141000 + 0.990010i \(0.454968\pi\)
\(348\) −9846.15 1484.07i −0.00435831 0.000656910i
\(349\) 749077. + 939312.i 0.329202 + 0.412806i 0.918695 0.394967i \(-0.129244\pi\)
−0.589493 + 0.807773i \(0.700673\pi\)
\(350\) 1.50033e6 4.39900e6i 0.654663 1.91948i
\(351\) −2.61983e6 + 3.28516e6i −1.13503 + 1.42328i
\(352\) −40609.2 + 37679.8i −0.0174690 + 0.0162089i
\(353\) −3.49624e6 + 526973.i −1.49336 + 0.225088i −0.844390 0.535728i \(-0.820037\pi\)
−0.648968 + 0.760816i \(0.724799\pi\)
\(354\) 1.06328e6 + 986581.i 0.450962 + 0.418432i
\(355\) 4.17679e6 + 2.84769e6i 1.75903 + 1.19928i
\(356\) 13161.1 57662.8i 0.00550388 0.0241141i
\(357\) 68201.4 2.31193e6i 0.0283219 0.960072i
\(358\) −71638.2 313867.i −0.0295418 0.129431i
\(359\) 1.40210e6 3.57249e6i 0.574173 1.46297i −0.288636 0.957439i \(-0.593202\pi\)
0.862809 0.505530i \(-0.168703\pi\)
\(360\) −189545. + 2.52931e6i −0.0770826 + 1.02860i
\(361\) 636272. 1.10205e6i 0.256965 0.445077i
\(362\) −747584. 1.29485e6i −0.299839 0.519337i
\(363\) −1.02271e6 + 492509.i −0.407366 + 0.196177i
\(364\) 98143.7 4449.79i 0.0388248 0.00176030i
\(365\) 4.20147e6 + 2.02332e6i 1.65071 + 0.794938i
\(366\) −115300. 1.53857e6i −0.0449911 0.600365i
\(367\) −3.53014e6 1.08890e6i −1.36813 0.422012i −0.478256 0.878220i \(-0.658731\pi\)
−0.889873 + 0.456208i \(0.849207\pi\)
\(368\) −1.26075e6 388889.i −0.485298 0.149695i
\(369\) 48231.4 + 643603.i 0.0184401 + 0.246066i
\(370\) 4.21727e6 + 2.03093e6i 1.60150 + 0.771242i
\(371\) 160021. + 578856.i 0.0603590 + 0.218341i
\(372\) −37414.5 + 18017.9i −0.0140179 + 0.00675067i
\(373\) 766619. + 1.32782e6i 0.285304 + 0.494160i 0.972683 0.232138i \(-0.0745722\pi\)
−0.687379 + 0.726299i \(0.741239\pi\)
\(374\) 1.08917e6 1.88651e6i 0.402641 0.697395i
\(375\) 240725. 3.21226e6i 0.0883982 1.17959i
\(376\) 1.75026e6 4.45960e6i 0.638460 1.62677i
\(377\) 343124. + 1.50332e6i 0.124336 + 0.544752i
\(378\) −1.29168e6 + 2.49148e6i −0.464971 + 0.896867i
\(379\) 266542. 1.16780e6i 0.0953166 0.417609i −0.904647 0.426162i \(-0.859865\pi\)
0.999963 + 0.00855286i \(0.00272249\pi\)
\(380\) −61757.4 42105.5i −0.0219397 0.0149582i
\(381\) −179683. 166722.i −0.0634154 0.0588409i
\(382\) −776793. + 117083.i −0.272362 + 0.0410520i
\(383\) −954629. + 885766.i −0.332535 + 0.308548i −0.828714 0.559673i \(-0.810927\pi\)
0.496178 + 0.868221i \(0.334736\pi\)
\(384\) −1.12204e6 + 1.40699e6i −0.388310 + 0.486925i
\(385\) −2.61297e6 + 937579.i −0.898427 + 0.322371i
\(386\) 368121. + 461609.i 0.125754 + 0.157691i
\(387\) −775682. 116915.i −0.263273 0.0396820i
\(388\) −47693.1 + 32516.6i −0.0160833 + 0.0109654i
\(389\) −950473. 2.42177e6i −0.318468 0.811443i −0.997038 0.0769076i \(-0.975495\pi\)
0.678570 0.734535i \(-0.262600\pi\)
\(390\) −5.69697e6 + 1.75728e6i −1.89663 + 0.585032i
\(391\) −2.33946e6 −0.773879
\(392\) 2.98637e6 731501.i 0.981586 0.240436i
\(393\) 992505. 0.324154
\(394\) 1.72043e6 530681.i 0.558336 0.172224i
\(395\) −366190. 933038.i −0.118090 0.300889i
\(396\) 17956.3 12242.4i 0.00575412 0.00392309i
\(397\) −5.64977e6 851566.i −1.79910 0.271170i −0.837659 0.546193i \(-0.816077\pi\)
−0.961438 + 0.275023i \(0.911315\pi\)
\(398\) 768452. + 963608.i 0.243169 + 0.304925i
\(399\) −769996. 1.20419e6i −0.242134 0.378673i
\(400\) −4.00000e6 + 5.01584e6i −1.25000 + 1.56745i
\(401\) 4.09037e6 3.79531e6i 1.27029 1.17865i 0.295543 0.955329i \(-0.404499\pi\)
0.974744 0.223325i \(-0.0716910\pi\)
\(402\) −1.87805e6 + 283071.i −0.579619 + 0.0873635i
\(403\) 4.71412e6 + 4.37406e6i 1.44590 + 1.34160i
\(404\) 103259. + 70400.5i 0.0314755 + 0.0214596i
\(405\) −95101.2 + 416666.i −0.0288104 + 0.126226i
\(406\) 419293. + 940662.i 0.126242 + 0.283216i
\(407\) −418185. 1.83219e6i −0.125136 0.548256i
\(408\) −1.19240e6 + 3.03819e6i −0.354627 + 0.903575i
\(409\) −190619. + 2.54364e6i −0.0563454 + 0.751878i 0.895454 + 0.445155i \(0.146851\pi\)
−0.951799 + 0.306723i \(0.900768\pi\)
\(410\) −1.24138e6 + 2.15014e6i −0.364709 + 0.631694i
\(411\) 361901. + 626831.i 0.105678 + 0.183040i
\(412\) −62912.9 + 30297.3i −0.0182598 + 0.00879347i
\(413\) −595754. + 3.29091e6i −0.171867 + 0.949380i
\(414\) 943293. + 454266.i 0.270487 + 0.130259i
\(415\) −261306. 3.48689e6i −0.0744782 0.993843i
\(416\) −262122. 80854.0i −0.0742627 0.0229070i
\(417\) 1.98464e6 + 612182.i 0.558911 + 0.172401i
\(418\) −100599. 1.34239e6i −0.0281612 0.375785i
\(419\) −1.20138e6 578556.i −0.334308 0.160994i 0.259197 0.965824i \(-0.416542\pi\)
−0.593505 + 0.804830i \(0.702256\pi\)
\(420\) 78149.3 42097.1i 0.0216173 0.0116447i
\(421\) 5.11306e6 2.46232e6i 1.40597 0.677078i 0.431605 0.902062i \(-0.357947\pi\)
0.974362 + 0.224984i \(0.0722330\pi\)
\(422\) −3.05813e6 5.29684e6i −0.835940 1.44789i
\(423\) −1.85938e6 + 3.22054e6i −0.505262 + 0.875139i
\(424\) 63331.2 845096.i 0.0171082 0.228292i
\(425\) −4.15604e6 + 1.05894e7i −1.11611 + 2.84380i
\(426\) −647793. 2.83817e6i −0.172947 0.757729i
\(427\) 2.84552e6 2.13505e6i 0.755251 0.566682i
\(428\) 13908.5 60937.0i 0.00367003 0.0160795i
\(429\) 1.97770e6 + 1.34837e6i 0.518821 + 0.353726i
\(430\) −2.21207e6 2.05250e6i −0.576936 0.535318i
\(431\) 363648. 54811.1i 0.0942949 0.0142127i −0.101725 0.994813i \(-0.532436\pi\)
0.196020 + 0.980600i \(0.437198\pi\)
\(432\) 2.83966e6 2.63482e6i 0.732077 0.679268i
\(433\) −2.42475e6 + 3.04054e6i −0.621509 + 0.779348i −0.988556 0.150854i \(-0.951798\pi\)
0.367047 + 0.930203i \(0.380369\pi\)
\(434\) 3.65471e6 + 2.25629e6i 0.931385 + 0.575004i
\(435\) 868659. + 1.08926e6i 0.220103 + 0.276001i
\(436\) 49313.5 + 7432.82i 0.0124237 + 0.00187257i
\(437\) −1.19451e6 + 814403.i −0.299217 + 0.204003i
\(438\) −981112. 2.49983e6i −0.244362 0.622623i
\(439\) 3.08698e6 952206.i 0.764491 0.235814i 0.112100 0.993697i \(-0.464242\pi\)
0.652391 + 0.757883i \(0.273766\pi\)
\(440\) 3.91737e6 0.964635
\(441\) −2.37686e6 + 215975.i −0.581978 + 0.0528820i
\(442\) 1.07864e7 2.62616
\(443\) 2.41755e6 745716.i 0.585284 0.180536i 0.0120492 0.999927i \(-0.496165\pi\)
0.573235 + 0.819391i \(0.305688\pi\)
\(444\) 21953.9 + 55937.5i 0.00528510 + 0.0134662i
\(445\) −6.83761e6 + 4.66180e6i −1.63683 + 1.11597i
\(446\) −2.56046e6 385928.i −0.609511 0.0918690i
\(447\) 550660. + 690505.i 0.130351 + 0.163455i
\(448\) −4.31309e6 451455.i −1.01530 0.106272i
\(449\) −2.11826e6 + 2.65621e6i −0.495864 + 0.621794i −0.965291 0.261177i \(-0.915889\pi\)
0.469427 + 0.882972i \(0.344461\pi\)
\(450\) 3.73196e6 3.46276e6i 0.868772 0.806103i
\(451\) 985674. 148566.i 0.228187 0.0343937i
\(452\) −46318.6 42977.4i −0.0106637 0.00989450i
\(453\) −2.40215e6 1.63776e6i −0.549989 0.374976i
\(454\) 1.38710e6 6.07728e6i 0.315841 1.38379i
\(455\) −1.04898e7 8.88382e6i −2.37542 2.01174i
\(456\) 448811. + 1.96637e6i 0.101077 + 0.442846i
\(457\) −1.34275e6 + 3.42128e6i −0.300750 + 0.766299i 0.697989 + 0.716108i \(0.254078\pi\)
−0.998740 + 0.0501910i \(0.984017\pi\)
\(458\) −366611. + 4.89209e6i −0.0816662 + 1.08976i
\(459\) 3.43441e6 5.94858e6i 0.760888 1.31790i
\(460\) −44892.2 77755.6i −0.00989183 0.0171331i
\(461\) 3.21838e6 1.54989e6i 0.705318 0.339663i −0.0466054 0.998913i \(-0.514840\pi\)
0.751924 + 0.659250i \(0.229126\pi\)
\(462\) 1.47030e6 + 627691.i 0.320480 + 0.136817i
\(463\) −1.21297e6 584137.i −0.262966 0.126638i 0.297756 0.954642i \(-0.403762\pi\)
−0.560721 + 0.828004i \(0.689476\pi\)
\(464\) −106234. 1.41759e6i −0.0229070 0.305672i
\(465\) 5.55226e6 + 1.71265e6i 1.19080 + 0.367312i
\(466\) 3.03646e6 + 936624.i 0.647743 + 0.199802i
\(467\) 691259. + 9.22421e6i 0.146672 + 1.95721i 0.265039 + 0.964238i \(0.414615\pi\)
−0.118367 + 0.992970i \(0.537766\pi\)
\(468\) 96955.3 + 46691.2i 0.0204624 + 0.00985418i
\(469\) −2.88263e6 3.29658e6i −0.605140 0.692040i
\(470\) −1.28887e7 + 6.20687e6i −2.69131 + 1.29607i
\(471\) −1.03354e6 1.79014e6i −0.214671 0.371821i
\(472\) 2.35966e6 4.08704e6i 0.487521 0.844412i
\(473\) −90538.8 + 1.20816e6i −0.0186072 + 0.248296i
\(474\) −210880. + 537313.i −0.0431111 + 0.109845i
\(475\) 1.56430e6 + 6.85366e6i 0.318117 + 1.39376i
\(476\) −157560. + 31104.5i −0.0318733 + 0.00629225i
\(477\) −146381. + 641338.i −0.0294571 + 0.129060i
\(478\) −2.09110e6 1.42569e6i −0.418605 0.285400i
\(479\) 4.87678e6 + 4.52499e6i 0.971168 + 0.901112i 0.995127 0.0986005i \(-0.0314366\pi\)
−0.0239588 + 0.999713i \(0.507627\pi\)
\(480\) −245077. + 36939.4i −0.0485512 + 0.00731791i
\(481\) 6.82154e6 6.32946e6i 1.34437 1.24740i
\(482\) 230888. 289524.i 0.0452672 0.0567633i
\(483\) −205721. 1.70455e6i −0.0401246 0.332462i
\(484\) 49142.1 + 61622.3i 0.00953544 + 0.0119571i
\(485\) 7.98633e6 + 1.20375e6i 1.54168 + 0.232370i
\(486\) −4.14292e6 + 2.82460e6i −0.795639 + 0.542458i
\(487\) 2.46410e6 + 6.27842e6i 0.470799 + 1.19958i 0.947285 + 0.320394i \(0.103815\pi\)
−0.476486 + 0.879182i \(0.658090\pi\)
\(488\) −4.79693e6 + 1.47966e6i −0.911829 + 0.281262i
\(489\) −5.46042e6 −1.03265
\(490\) −8.02260e6 4.46417e6i −1.50947 0.839945i
\(491\) 713619. 0.133587 0.0667933 0.997767i \(-0.478723\pi\)
0.0667933 + 0.997767i \(0.478723\pi\)
\(492\) −30457.2 + 9394.81i −0.00567254 + 0.00174975i
\(493\) −920909. 2.34644e6i −0.170647 0.434802i
\(494\) 5.50747e6 3.75493e6i 1.01539 0.692284i
\(495\) −3.00683e6 453207.i −0.551564 0.0831349i
\(496\) −3.69643e6 4.63518e6i −0.674650 0.845984i
\(497\) 4.70861e6 4.78368e6i 0.855070 0.868703i
\(498\) −1.25548e6 + 1.57433e6i −0.226850 + 0.284460i
\(499\) −3.59600e6 + 3.33660e6i −0.646500 + 0.599864i −0.933722 0.358000i \(-0.883459\pi\)
0.287222 + 0.957864i \(0.407268\pi\)
\(500\) −221173. + 33336.4i −0.0395646 + 0.00596341i
\(501\) −44538.3 41325.5i −0.00792755 0.00735569i
\(502\) −4.91867e6 3.35349e6i −0.871140 0.593934i
\(503\) −440492. + 1.92992e6i −0.0776280 + 0.340110i −0.998796 0.0490544i \(-0.984379\pi\)
0.921168 + 0.389165i \(0.127236\pi\)
\(504\) 3.25986e6 + 845903.i 0.571640 + 0.148335i
\(505\) −3.89105e6 1.70478e7i −0.678951 2.97468i
\(506\) 590762. 1.50524e6i 0.102574 0.261354i
\(507\) −606882. + 8.09828e6i −0.104854 + 1.39918i
\(508\) −8509.93 + 14739.6i −0.00146308 + 0.00253412i
\(509\) −4.98408e6 8.63268e6i −0.852688 1.47690i −0.878773 0.477240i \(-0.841637\pi\)
0.0260845 0.999660i \(-0.491696\pi\)
\(510\) 8.78068e6 4.22855e6i 1.49487 0.719890i
\(511\) 3.63736e6 5.01091e6i 0.616218 0.848916i
\(512\) 5.50840e6 + 2.65270e6i 0.928646 + 0.447212i
\(513\) −317210. 4.23287e6i −0.0532174 0.710136i
\(514\) −880812. 271694.i −0.147053 0.0453600i
\(515\) 9.33618e6 + 2.87983e6i 1.55114 + 0.478464i
\(516\) −2895.01 38631.2i −0.000478658 0.00638725i
\(517\) 5.17469e6 + 2.49200e6i 0.851448 + 0.410036i
\(518\) 3.65104e6 5.02976e6i 0.597850 0.823612i
\(519\) 3.57469e6 1.72148e6i 0.582532 0.280533i
\(520\) 9.69873e6 + 1.67987e7i 1.57292 + 2.72438i
\(521\) 2.10351e6 3.64339e6i 0.339508 0.588046i −0.644832 0.764324i \(-0.723073\pi\)
0.984340 + 0.176279i \(0.0564060\pi\)
\(522\) −84301.4 + 1.12492e6i −0.0135412 + 0.180695i
\(523\) 1.10567e6 2.81719e6i 0.176754 0.450362i −0.814850 0.579672i \(-0.803181\pi\)
0.991604 + 0.129310i \(0.0412761\pi\)
\(524\) −15335.1 67187.6i −0.00243983 0.0106896i
\(525\) −8.08100e6 2.09694e6i −1.27958 0.332038i
\(526\) 264951. 1.16082e6i 0.0417542 0.182937i
\(527\) −8.68580e6 5.92188e6i −1.36233 0.928823i
\(528\) −1.61762e6 1.50094e6i −0.252518 0.234303i
\(529\) 4.64724e6 700459.i 0.722032 0.108829i
\(530\) −1.85503e6 + 1.72122e6i −0.286854 + 0.266162i
\(531\) −2.28402e6 + 2.86407e6i −0.351531 + 0.440806i
\(532\) −69620.7 + 70730.7i −0.0106650 + 0.0108350i
\(533\) 3.07745e6 + 3.85900e6i 0.469216 + 0.588378i
\(534\) 4.71247e6 + 710290.i 0.715147 + 0.107791i
\(535\) −7.22586e6 + 4.92651e6i −1.09145 + 0.744140i
\(536\) 2.25761e6 + 5.75230e6i 0.339420 + 0.864827i
\(537\) −552591. + 170452.i −0.0826928 + 0.0255074i
\(538\) −3.03736e6 −0.452418
\(539\) 606965. + 3.63577e6i 0.0899894 + 0.539045i
\(540\) 263614. 0.0389031
\(541\) −6.79772e6 + 2.09682e6i −0.998550 + 0.308012i −0.750597 0.660760i \(-0.770234\pi\)
−0.247953 + 0.968772i \(0.579758\pi\)
\(542\) 1.47679e6 + 3.76279e6i 0.215933 + 0.550189i
\(543\) −2.21902e6 + 1.51290e6i −0.322970 + 0.220197i
\(544\) 443405. + 66832.5i 0.0642397 + 0.00968257i
\(545\) −4.35060e6 5.45548e6i −0.627419 0.786758i
\(546\) 948507. + 7.85908e6i 0.136163 + 1.12821i
\(547\) 8.03828e6 1.00797e7i 1.14867 1.44039i 0.270060 0.962843i \(-0.412956\pi\)
0.878609 0.477542i \(-0.158472\pi\)
\(548\) 36841.6 34184.0i 0.00524067 0.00486263i
\(549\) 3.85313e6 580766.i 0.545611 0.0822376i
\(550\) −5.76387e6 5.34809e6i −0.812471 0.753863i
\(551\) −1.28704e6 877490.i −0.180598 0.123130i
\(552\) −539115. + 2.36202e6i −0.0753067 + 0.329940i
\(553\) −1.30569e6 + 257761.i −0.181562 + 0.0358430i
\(554\) 1.79161e6 + 7.84957e6i 0.248010 + 1.08660i
\(555\) 3.07175e6 7.82670e6i 0.423306 1.07857i
\(556\) 10777.0 143809.i 0.00147846 0.0197287i
\(557\) 674331. 1.16798e6i 0.0920948 0.159513i −0.816298 0.577632i \(-0.803977\pi\)
0.908392 + 0.418119i \(0.137310\pi\)
\(558\) 2.35232e6 + 4.07433e6i 0.319823 + 0.553950i
\(559\) −5.40504e6 + 2.60293e6i −0.731593 + 0.352317i
\(560\) 8.34200e6 + 9.53993e6i 1.12409 + 1.28551i
\(561\) −3.52536e6 1.69772e6i −0.472929 0.227751i
\(562\) −342828. 4.57472e6i −0.0457863 0.610975i
\(563\) 1.26032e7 + 3.88758e6i 1.67576 + 0.516903i 0.979595 0.200981i \(-0.0644130\pi\)
0.696163 + 0.717884i \(0.254889\pi\)
\(564\) −175491. 54131.7i −0.0232304 0.00716562i
\(565\) 660681. + 8.81617e6i 0.0870704 + 1.16187i
\(566\) 2.97483e6 + 1.43260e6i 0.390320 + 0.187968i
\(567\) 521906. + 222809.i 0.0681764 + 0.0291054i
\(568\) −8.53376e6 + 4.10964e6i −1.10986 + 0.534482i
\(569\) −2.87032e6 4.97154e6i −0.371663 0.643740i 0.618158 0.786054i \(-0.287879\pi\)
−0.989822 + 0.142314i \(0.954546\pi\)
\(570\) 3.01132e6 5.21576e6i 0.388213 0.672404i
\(571\) 752894. 1.00467e7i 0.0966370 1.28953i −0.712400 0.701773i \(-0.752392\pi\)
0.809037 0.587757i \(-0.199989\pi\)
\(572\) 60720.8 154714.i 0.00775974 0.0197715i
\(573\) 313993. + 1.37569e6i 0.0399516 + 0.175039i
\(574\) 2.51567e6 + 2.13051e6i 0.318694 + 0.269901i
\(575\) −1.87905e6 + 8.23266e6i −0.237011 + 1.03841i
\(576\) −3.92477e6 2.67586e6i −0.492899 0.336053i
\(577\) −8.51850e6 7.90402e6i −1.06518 0.988344i −0.0652272 0.997870i \(-0.520777\pi\)
−0.999955 + 0.00952617i \(0.996968\pi\)
\(578\) −9.58051e6 + 1.44403e6i −1.19280 + 0.179786i
\(579\) 777431. 721351.i 0.0963753 0.0894232i
\(580\) 60316.1 75634.0i 0.00744497 0.00933570i
\(581\) −4.61764e6 483332.i −0.567518 0.0594026i
\(582\) −2.89990e6 3.63636e6i −0.354875 0.444999i
\(583\) 1.00465e6 + 151426.i 0.122417 + 0.0184514i
\(584\) −7.21923e6 + 4.92198e6i −0.875908 + 0.597184i
\(585\) −5.50092e6 1.40161e7i −0.664578 1.69332i
\(586\) −1.55284e6 + 478986.i −0.186802 + 0.0576208i
\(587\) −931439. −0.111573 −0.0557865 0.998443i \(-0.517767\pi\)
−0.0557865 + 0.998443i \(0.517767\pi\)
\(588\) −36518.1 112064.i −0.00435576 0.0133667i
\(589\) −6.49640e6 −0.771586
\(590\) −1.34659e7 + 4.15369e6i −1.59260 + 0.491252i
\(591\) −1.18151e6 3.01043e6i −0.139145 0.354536i
\(592\) −7.08828e6 + 4.83271e6i −0.831259 + 0.566743i
\(593\) −372787. 56188.6i −0.0435336 0.00656163i 0.127239 0.991872i \(-0.459388\pi\)
−0.170773 + 0.985310i \(0.554626\pi\)
\(594\) 2.96013e6 + 3.71188e6i 0.344226 + 0.431646i
\(595\) 1.91207e7 + 1.18044e7i 2.21417 + 1.36695i
\(596\) 38235.5 47945.8i 0.00440911 0.00552885i
\(597\) 1.62289e6 1.50582e6i 0.186360 0.172917i
\(598\) 7.91747e6 1.19337e6i 0.905385 0.136465i
\(599\) −3.96887e6 3.68258e6i −0.451960 0.419358i 0.421067 0.907030i \(-0.361656\pi\)
−0.873027 + 0.487672i \(0.837846\pi\)
\(600\) 9.73379e6 + 6.63639e6i 1.10383 + 0.752581i
\(601\) −1.30054e6 + 5.69805e6i −0.146872 + 0.643488i 0.846871 + 0.531798i \(0.178483\pi\)
−0.993743 + 0.111690i \(0.964374\pi\)
\(602\) −3.20493e6 + 2.40473e6i −0.360436 + 0.270443i
\(603\) −1.06737e6 4.67644e6i −0.119542 0.523748i
\(604\) −73752.4 + 187918.i −0.00822591 + 0.0209593i
\(605\) 824130. 1.09973e7i 0.0915393 1.22151i
\(606\) −5.03494e6 + 8.72077e6i −0.556945 + 0.964658i
\(607\) 4.71781e6 + 8.17148e6i 0.519719 + 0.900180i 0.999737 + 0.0229211i \(0.00729665\pi\)
−0.480018 + 0.877258i \(0.659370\pi\)
\(608\) 249665. 120232.i 0.0273904 0.0131905i
\(609\) 1.62865e6 877316.i 0.177945 0.0958546i
\(610\) 1.35053e7 + 6.50380e6i 1.46953 + 0.707689i
\(611\) 2.12530e6 + 2.83602e7i 0.230313 + 3.07331i
\(612\) −168099. 51851.5i −0.0181420 0.00559607i
\(613\) −1.31129e7 4.04478e6i −1.40944 0.434754i −0.505652 0.862738i \(-0.668748\pi\)
−0.903787 + 0.427983i \(0.859224\pi\)
\(614\) −203852. 2.72022e6i −0.0218220 0.291194i
\(615\) 4.01802e6 + 1.93498e6i 0.428375 + 0.206294i
\(616\) 926566. 5.11829e6i 0.0983840 0.543466i
\(617\) −9.82282e6 + 4.73042e6i −1.03878 + 0.500250i −0.873921 0.486067i \(-0.838431\pi\)
−0.164858 + 0.986317i \(0.552717\pi\)
\(618\) −2.81322e6 4.87264e6i −0.296301 0.513208i
\(619\) 2.90390e6 5.02971e6i 0.304618 0.527614i −0.672558 0.740044i \(-0.734804\pi\)
0.977176 + 0.212430i \(0.0681378\pi\)
\(620\) 30149.9 402322.i 0.00314997 0.0420334i
\(621\) 1.86280e6 4.74635e6i 0.193838 0.493891i
\(622\) 1.84258e6 + 8.07286e6i 0.190963 + 0.836665i
\(623\) 4.47365e6 + 1.00364e7i 0.461787 + 1.03600i
\(624\) 2.43144e6 1.06528e7i 0.249978 1.09523i
\(625\) 9.31256e6 + 6.34919e6i 0.953606 + 0.650157i
\(626\) −9.46084e6 8.77837e6i −0.964925 0.895320i
\(627\) −2.39103e6 + 360389.i −0.242893 + 0.0366103i
\(628\) −105214. + 97624.5i −0.0106457 + 0.00987779i
\(629\) −9.48452e6 + 1.18932e7i −0.955848 + 1.19860i
\(630\) −5.41752e6 8.47244e6i −0.543812 0.850467i
\(631\) −3.23973e6 4.06249e6i −0.323918 0.406181i 0.593034 0.805177i \(-0.297930\pi\)
−0.916952 + 0.398997i \(0.869359\pi\)
\(632\) 1.85705e6 + 279905.i 0.184940 + 0.0278752i
\(633\) −9.07733e6 + 6.18882e6i −0.900428 + 0.613901i
\(634\) 2.70813e6 + 6.90021e6i 0.267576 + 0.681772i
\(635\) 2.27560e6 701929.i 0.223955 0.0690810i
\(636\) −32486.8 −0.00318467
\(637\) −1.40884e7 + 1.16044e7i −1.37567 + 1.13311i
\(638\) 1.74227e6 0.169459
\(639\) 7.02566e6 2.16713e6i 0.680667 0.209958i
\(640\) −6.38756e6 1.62752e7i −0.616432 1.57064i
\(641\) 1.65436e7 1.12792e7i 1.59032 1.08426i 0.642110 0.766612i \(-0.278059\pi\)
0.948208 0.317649i \(-0.102893\pi\)
\(642\) 4.98006e6 + 750623.i 0.476866 + 0.0718760i
\(643\) −6.19948e6 7.77390e6i −0.591327 0.741501i 0.392671 0.919679i \(-0.371551\pi\)
−0.983998 + 0.178178i \(0.942980\pi\)
\(644\) −112211. + 40263.1i −0.0106615 + 0.00382554i
\(645\) −3.37955e6 + 4.23783e6i −0.319860 + 0.401092i
\(646\) −7.98766e6 + 7.41147e6i −0.753075 + 0.698752i
\(647\) 5.11504e6 770968.i 0.480384 0.0724062i 0.0956134 0.995419i \(-0.469519\pi\)
0.384770 + 0.923012i \(0.374281\pi\)
\(648\) −587007. 544663.i −0.0549169 0.0509554i
\(649\) 4.67470e6 + 3.18716e6i 0.435654 + 0.297024i
\(650\) 8.66365e6 3.79579e7i 0.804299 3.52386i
\(651\) 3.55094e6 6.84929e6i 0.328391 0.633422i
\(652\) 84368.5 + 369643.i 0.00777252 + 0.0340536i
\(653\) 6.12612e6 1.56091e7i 0.562215 1.43250i −0.313461 0.949601i \(-0.601489\pi\)
0.875676 0.482899i \(-0.160416\pi\)
\(654\) −300292. + 4.00711e6i −0.0274536 + 0.366342i
\(655\) −4.82128e6 + 8.35069e6i −0.439095 + 0.760535i
\(656\) −2.27520e6 3.94076e6i −0.206424 0.357536i
\(657\) 6.11065e6 2.94273e6i 0.552298 0.265973i
\(658\) 5.06113e6 + 1.83080e7i 0.455704 + 1.64845i
\(659\) 1.40971e7 + 6.78878e6i 1.26449 + 0.608945i 0.941358 0.337409i \(-0.109551\pi\)
0.323130 + 0.946355i \(0.395265\pi\)
\(660\) −11222.1 149749.i −0.00100280 0.0133815i
\(661\) 1.66634e7 + 5.13998e6i 1.48341 + 0.457571i 0.927547 0.373705i \(-0.121913\pi\)
0.555860 + 0.831276i \(0.312389\pi\)
\(662\) 9.27757e6 + 2.86175e6i 0.822790 + 0.253797i
\(663\) −1.44790e6 1.93209e7i −0.127925 1.70704i
\(664\) 5.90279e6 + 2.84263e6i 0.519561 + 0.250208i
\(665\) 1.38722e7 628960.i 1.21644 0.0551529i
\(666\) 6.13363e6 2.95380e6i 0.535836 0.258045i
\(667\) −935566. 1.62045e6i −0.0814254 0.141033i
\(668\) −2109.37 + 3653.53i −0.000182899 + 0.000316790i
\(669\) −347583. + 4.63817e6i −0.0300257 + 0.400665i
\(670\) 6.74129e6 1.71765e7i 0.580171 1.47825i
\(671\) −1.33918e6 5.86734e6i −0.114824 0.503078i
\(672\) −9703.83 + 328946.i −0.000828934 + 0.0280996i
\(673\) 1.02831e6 4.50531e6i 0.0875155 0.383431i −0.912134 0.409891i \(-0.865567\pi\)
0.999650 + 0.0264608i \(0.00842372\pi\)
\(674\) −8.58498e6 5.85314e6i −0.727930 0.496294i
\(675\) −1.81748e7 1.68637e7i −1.53536 1.42461i
\(676\) 557590. 84043.1i 0.0469297 0.00707352i
\(677\) 1.12308e7 1.04207e7i 0.941758 0.873824i −0.0504106 0.998729i \(-0.516053\pi\)
0.992169 + 0.124905i \(0.0398625\pi\)
\(678\) 3.17434e6 3.98050e6i 0.265204 0.332555i
\(679\) 3.46176e6 1.01499e7i 0.288152 0.844866i
\(680\) −1.97703e7 2.47911e7i −1.63961 2.05600i
\(681\) −1.10720e7 1.66883e6i −0.914866 0.137894i
\(682\) 6.00355e6 4.09315e6i 0.494251 0.336974i
\(683\) 7.54535e6 + 1.92253e7i 0.618911 + 1.57696i 0.804255 + 0.594285i \(0.202565\pi\)
−0.185344 + 0.982674i \(0.559340\pi\)
\(684\) −103880. + 32042.8i −0.00848970 + 0.00261873i
\(685\) −7.03200e6 −0.572601
\(686\) −7.73028e6 + 9.42612e6i −0.627170 + 0.764756i
\(687\) 8.81205e6 0.712336
\(688\) 5.28495e6 1.63019e6i 0.425667 0.131301i
\(689\) 1.83798e6 + 4.68309e6i 0.147500 + 0.375824i
\(690\) 5.97737e6 4.07530e6i 0.477956 0.325865i
\(691\) 8.65226e6 + 1.30412e6i 0.689342 + 0.103902i 0.484366 0.874866i \(-0.339050\pi\)
0.204976 + 0.978767i \(0.434288\pi\)
\(692\) −171768. 215390.i −0.0136357 0.0170986i
\(693\) −1.30334e6 + 3.82141e6i −0.103092 + 0.302267i
\(694\) −6.90397e6 + 8.65730e6i −0.544127 + 0.682313i
\(695\) −1.47915e7 + 1.37245e7i −1.16158 + 1.07779i
\(696\) −2.58128e6 + 389066.i −0.201982 + 0.0304439i
\(697\) −5.91473e6 5.48806e6i −0.461161 0.427895i
\(698\) 5.55380e6 + 3.78651e6i 0.431471 + 0.294172i
\(699\) 1.27011e6 5.56471e6i 0.0983214 0.430774i
\(700\) −17093.4 + 579442.i −0.00131851 + 0.0446956i
\(701\) −205904. 902125.i −0.0158260 0.0693381i 0.966398 0.257049i \(-0.0827503\pi\)
−0.982224 + 0.187711i \(0.939893\pi\)
\(702\) −8.58875e6 + 2.18838e7i −0.657790 + 1.67602i
\(703\) −702506. + 9.37430e6i −0.0536120 + 0.715402i
\(704\) −3.66822e6 + 6.35354e6i −0.278948 + 0.483153i
\(705\) 1.28480e7 + 2.22534e7i 0.973560 + 1.68626i
\(706\) −1.78228e7 + 8.58301e6i −1.34575 + 0.648079i
\(707\) −2.31944e7 + 1.05162e6i −1.74515 + 0.0791246i
\(708\) −162995. 78494.1i −0.0122205 0.00588510i
\(709\) 232109. + 3.09728e6i 0.0173411 + 0.231401i 0.999140 + 0.0414750i \(0.0132057\pi\)
−0.981798 + 0.189926i \(0.939175\pi\)
\(710\) 2.70264e7 + 8.33655e6i 2.01207 + 0.620641i
\(711\) −1.39302e6 429690.i −0.103344 0.0318773i
\(712\) −1.15874e6 1.54624e7i −0.0856618 1.14308i
\(713\) −7.03073e6 3.38582e6i −0.517937 0.249425i
\(714\) −3.44799e6 1.24727e7i −0.253117 0.915617i
\(715\) −2.09519e7 + 1.00899e7i −1.53271 + 0.738113i
\(716\) 20076.8 + 34774.0i 0.00146356 + 0.00253496i
\(717\) −2.27303e6 + 3.93700e6i −0.165123 + 0.286001i
\(718\) 1.60459e6 2.14117e7i 0.116159 1.55003i
\(719\) −2.29214e6 + 5.84028e6i −0.165356 + 0.421319i −0.989402 0.145203i \(-0.953616\pi\)
0.824046 + 0.566523i \(0.191712\pi\)
\(720\) 3.08884e6 + 1.35331e7i 0.222057 + 0.972895i
\(721\) 5.97094e6 1.15171e7i 0.427765 0.825100i
\(722\) 1.58428e6 6.94117e6i 0.113107 0.495552i
\(723\) −549596. 374708.i −0.0391019 0.0266592i
\(724\) 136702. + 126841.i 0.00969233 + 0.00899317i
\(725\) −8.99689e6 + 1.35606e6i −0.635693 + 0.0958153i
\(726\) −4.65547e6 + 4.31964e6i −0.327810 + 0.304163i
\(727\) 2.31884e6 2.90773e6i 0.162718 0.204041i −0.693788 0.720180i \(-0.744059\pi\)
0.856505 + 0.516138i \(0.172631\pi\)
\(728\) 2.42425e7 8.69864e6i 1.69531 0.608307i
\(729\) 6.27880e6 + 7.87337e6i 0.437580 + 0.548708i
\(730\) 2.57989e7 + 3.88856e6i 1.79182 + 0.270073i
\(731\) 8.10277e6 5.52437e6i 0.560841 0.382375i
\(732\) 70304.4 + 179133.i 0.00484959 + 0.0123565i
\(733\) 2.00257e7 6.17712e6i 1.37666 0.424645i 0.483882 0.875133i \(-0.339226\pi\)
0.892782 + 0.450488i \(0.148750\pi\)
\(734\) −2.06688e7 −1.41604
\(735\) −6.91943e6 + 1.49695e7i −0.472446 + 1.02209i
\(736\) 332863. 0.0226501
\(737\) −7.07920e6 + 2.18364e6i −0.480082 + 0.148086i
\(738\) 1.31923e6 + 3.36134e6i 0.0891618 + 0.227181i
\(739\) −1.26168e7 + 8.60200e6i −0.849843 + 0.579413i −0.908036 0.418892i \(-0.862418\pi\)
0.0581932 + 0.998305i \(0.481466\pi\)
\(740\) −577290. 87012.4i −0.0387538 0.00584120i
\(741\) −7.46521e6 9.36108e6i −0.499455 0.626297i
\(742\) 1.81011e6 + 2.83083e6i 0.120697 + 0.188757i
\(743\) −8.82262e6 + 1.10632e7i −0.586307 + 0.735206i −0.983174 0.182670i \(-0.941526\pi\)
0.396867 + 0.917876i \(0.370097\pi\)
\(744\) −7.98057e6 + 7.40489e6i −0.528569 + 0.490440i
\(745\) −8.48468e6 + 1.27886e6i −0.560073 + 0.0844174i
\(746\) 6.28827e6 + 5.83467e6i 0.413699 + 0.383857i
\(747\) −4.20190e6 2.86480e6i −0.275514 0.187842i
\(748\) −60457.2 + 264880.i −0.00395088 + 0.0173099i
\(749\) 4.72767e6 + 1.06063e7i 0.307924 + 0.690811i
\(750\) −4.01037e6 1.75706e7i −0.260334 1.14060i
\(751\) 2.00070e6 5.09770e6i 0.129444 0.329818i −0.851428 0.524471i \(-0.824263\pi\)
0.980872 + 0.194653i \(0.0623582\pi\)
\(752\) 1.95933e6 2.61455e7i 0.126347 1.68598i
\(753\) −5.34661e6 + 9.26059e6i −0.343630 + 0.595184i
\(754\) 4.31357e6 + 7.47132e6i 0.276318 + 0.478596i
\(755\) 2.54486e7 1.22554e7i 1.62478 0.782455i
\(756\) 62351.9 344428.i 0.00396776 0.0219176i
\(757\) 4.82620e6 + 2.32418e6i 0.306102 + 0.147411i 0.580628 0.814169i \(-0.302807\pi\)
−0.274527 + 0.961579i \(0.588521\pi\)
\(758\) −500816. 6.68293e6i −0.0316596 0.422468i
\(759\) −2.77552e6 856134.i −0.174880 0.0539432i
\(760\) −1.87247e7 5.77582e6i −1.17593 0.362727i
\(761\)