Properties

Label 49.6.g.a.25.15
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 25.15
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(4.24738 - 1.31014i) q^{2} +(-9.79667 - 24.9615i) q^{3} +(-10.1159 + 6.89687i) q^{4} +(-27.7351 - 4.18039i) q^{5} +(-74.3134 - 93.1860i) q^{6} +(129.357 + 8.58801i) q^{7} +(-122.612 + 153.751i) q^{8} +(-348.971 + 323.797i) q^{9} +O(q^{10})\) \(q+(4.24738 - 1.31014i) q^{2} +(-9.79667 - 24.9615i) q^{3} +(-10.1159 + 6.89687i) q^{4} +(-27.7351 - 4.18039i) q^{5} +(-74.3134 - 93.1860i) q^{6} +(129.357 + 8.58801i) q^{7} +(-122.612 + 153.751i) q^{8} +(-348.971 + 323.797i) q^{9} +(-123.279 + 18.5812i) q^{10} +(-488.818 - 453.557i) q^{11} +(271.258 + 184.941i) q^{12} +(-152.165 + 666.680i) q^{13} +(560.680 - 133.000i) q^{14} +(167.363 + 733.264i) q^{15} +(-176.211 + 448.977i) q^{16} +(46.2115 - 616.649i) q^{17} +(-1057.99 + 1832.49i) q^{18} +(-125.282 - 216.995i) q^{19} +(309.396 - 148.997i) q^{20} +(-1052.90 - 3313.08i) q^{21} +(-2670.42 - 1286.01i) q^{22} +(-320.725 - 4279.78i) q^{23} +(5039.05 + 1554.34i) q^{24} +(-2234.40 - 689.223i) q^{25} +(227.142 + 3031.00i) q^{26} +(5630.44 + 2711.48i) q^{27} +(-1367.79 + 805.284i) q^{28} +(-4174.16 + 2010.17i) q^{29} +(1671.54 + 2895.18i) q^{30} +(3784.94 - 6555.70i) q^{31} +(310.064 - 4137.52i) q^{32} +(-6532.68 + 16645.0i) q^{33} +(-611.622 - 2679.69i) q^{34} +(-3551.83 - 778.953i) q^{35} +(1296.95 - 5682.29i) q^{36} +(5149.15 + 3510.63i) q^{37} +(-816.416 - 757.523i) q^{38} +(18132.1 - 2732.97i) q^{39} +(4043.41 - 3751.73i) q^{40} +(2473.50 - 3101.67i) q^{41} +(-8812.68 - 12692.5i) q^{42} +(1549.91 + 1943.53i) q^{43} +(8072.94 + 1216.80i) q^{44} +(11032.3 - 7521.72i) q^{45} +(-6969.37 - 17757.7i) q^{46} +(-20755.7 + 6402.29i) q^{47} +12933.4 q^{48} +(16659.5 + 2221.84i) q^{49} -10393.4 q^{50} +(-15845.2 + 4887.60i) q^{51} +(-3058.73 - 7793.51i) q^{52} +(-13802.0 + 9410.01i) q^{53} +(27467.0 + 4139.99i) q^{54} +(11661.4 + 14622.9i) q^{55} +(-17181.2 + 18835.8i) q^{56} +(-4189.17 + 5253.06i) q^{57} +(-15095.6 + 14006.7i) q^{58} +(27059.5 - 4078.56i) q^{59} +(-6750.25 - 6263.31i) q^{60} +(407.182 + 277.612i) q^{61} +(7487.16 - 32803.4i) q^{62} +(-47922.6 + 38888.5i) q^{63} +(-7538.21 - 33027.1i) q^{64} +(7007.31 - 17854.3i) q^{65} +(-5939.45 + 79256.4i) q^{66} +(-7258.28 + 12571.7i) q^{67} +(3785.48 + 6556.65i) q^{68} +(-103688. + 49933.4i) q^{69} +(-16106.5 + 1344.90i) q^{70} +(37139.1 + 17885.2i) q^{71} +(-6996.07 - 93356.1i) q^{72} +(-18171.3 - 5605.10i) q^{73} +(26469.8 + 8164.86i) q^{74} +(4685.69 + 62526.2i) q^{75} +(2763.92 + 1331.03i) q^{76} +(-59336.9 - 62868.8i) q^{77} +(73433.2 - 35363.6i) q^{78} +(-36849.0 - 63824.4i) q^{79} +(6764.12 - 11715.8i) q^{80} +(3878.16 - 51750.5i) q^{81} +(6442.27 - 16414.6i) q^{82} +(-7590.30 - 33255.3i) q^{83} +(33500.9 + 26252.9i) q^{84} +(-3859.52 + 16909.7i) q^{85} +(9129.36 + 6224.29i) q^{86} +(91069.7 + 84500.4i) q^{87} +(129670. - 19544.6i) q^{88} +(35944.0 - 33351.2i) q^{89} +(37004.0 - 46401.6i) q^{90} +(-25409.1 + 84933.0i) q^{91} +(32761.5 + 41081.6i) q^{92} +(-200720. - 30253.7i) q^{93} +(-79769.6 + 54386.0i) q^{94} +(2567.59 + 6542.11i) q^{95} +(-106316. + 32794.2i) q^{96} +167524. q^{97} +(73670.2 - 12389.3i) q^{98} +317444. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.24738 1.31014i 0.750838 0.231603i 0.104365 0.994539i \(-0.466719\pi\)
0.646474 + 0.762936i \(0.276243\pi\)
\(3\) −9.79667 24.9615i −0.628457 1.60128i −0.789097 0.614269i \(-0.789451\pi\)
0.160640 0.987013i \(-0.448644\pi\)
\(4\) −10.1159 + 6.89687i −0.316121 + 0.215527i
\(5\) −27.7351 4.18039i −0.496141 0.0747812i −0.103794 0.994599i \(-0.533098\pi\)
−0.392346 + 0.919818i \(0.628336\pi\)
\(6\) −74.3134 93.1860i −0.842731 1.05675i
\(7\) 129.357 + 8.58801i 0.997803 + 0.0662441i
\(8\) −122.612 + 153.751i −0.677344 + 0.849362i
\(9\) −348.971 + 323.797i −1.43609 + 1.33250i
\(10\) −123.279 + 18.5812i −0.389841 + 0.0587591i
\(11\) −488.818 453.557i −1.21805 1.13019i −0.987581 0.157108i \(-0.949783\pi\)
−0.230470 0.973079i \(-0.574026\pi\)
\(12\) 271.258 + 184.941i 0.543788 + 0.370748i
\(13\) −152.165 + 666.680i −0.249722 + 1.09411i 0.682119 + 0.731241i \(0.261058\pi\)
−0.931842 + 0.362865i \(0.881799\pi\)
\(14\) 560.680 133.000i 0.764531 0.181356i
\(15\) 167.363 + 733.264i 0.192057 + 0.841458i
\(16\) −176.211 + 448.977i −0.172081 + 0.438455i
\(17\) 46.2115 616.649i 0.0387818 0.517507i −0.943657 0.330924i \(-0.892640\pi\)
0.982439 0.186583i \(-0.0597413\pi\)
\(18\) −1057.99 + 1832.49i −0.769663 + 1.33309i
\(19\) −125.282 216.995i −0.0796169 0.137900i 0.823468 0.567363i \(-0.192036\pi\)
−0.903085 + 0.429463i \(0.858703\pi\)
\(20\) 309.396 148.997i 0.172958 0.0832920i
\(21\) −1052.90 3313.08i −0.521001 1.63940i
\(22\) −2670.42 1286.01i −1.17631 0.566483i
\(23\) −320.725 4279.78i −0.126419 1.68695i −0.595155 0.803611i \(-0.702909\pi\)
0.468736 0.883338i \(-0.344710\pi\)
\(24\) 5039.05 + 1554.34i 1.78575 + 0.550831i
\(25\) −2234.40 689.223i −0.715009 0.220551i
\(26\) 227.142 + 3031.00i 0.0658969 + 0.879333i
\(27\) 5630.44 + 2711.48i 1.48639 + 0.715807i
\(28\) −1367.79 + 805.284i −0.329704 + 0.194113i
\(29\) −4174.16 + 2010.17i −0.921667 + 0.443851i −0.833666 0.552269i \(-0.813762\pi\)
−0.0880010 + 0.996120i \(0.528048\pi\)
\(30\) 1671.54 + 2895.18i 0.339088 + 0.587318i
\(31\) 3784.94 6555.70i 0.707382 1.22522i −0.258442 0.966027i \(-0.583209\pi\)
0.965825 0.259196i \(-0.0834574\pi\)
\(32\) 310.064 4137.52i 0.0535275 0.714275i
\(33\) −6532.68 + 16645.0i −1.04425 + 2.66072i
\(34\) −611.622 2679.69i −0.0907373 0.397546i
\(35\) −3551.83 778.953i −0.490097 0.107483i
\(36\) 1296.95 5682.29i 0.166788 0.730748i
\(37\) 5149.15 + 3510.63i 0.618345 + 0.421581i 0.831568 0.555423i \(-0.187444\pi\)
−0.213223 + 0.977004i \(0.568396\pi\)
\(38\) −816.416 757.523i −0.0917175 0.0851014i
\(39\) 18132.1 2732.97i 1.90891 0.287722i
\(40\) 4043.41 3751.73i 0.399574 0.370751i
\(41\) 2473.50 3101.67i 0.229801 0.288162i −0.653540 0.756892i \(-0.726717\pi\)
0.883341 + 0.468730i \(0.155288\pi\)
\(42\) −8812.68 12692.5i −0.770876 1.11026i
\(43\) 1549.91 + 1943.53i 0.127831 + 0.160295i 0.841628 0.540058i \(-0.181598\pi\)
−0.713797 + 0.700352i \(0.753026\pi\)
\(44\) 8072.94 + 1216.80i 0.628637 + 0.0947518i
\(45\) 11032.3 7521.72i 0.812150 0.553714i
\(46\) −6969.37 17757.7i −0.485623 1.23735i
\(47\) −20755.7 + 6402.29i −1.37054 + 0.422757i −0.890698 0.454595i \(-0.849784\pi\)
−0.479847 + 0.877352i \(0.659308\pi\)
\(48\) 12933.4 0.810234
\(49\) 16659.5 + 2221.84i 0.991223 + 0.132197i
\(50\) −10393.4 −0.587937
\(51\) −15845.2 + 4887.60i −0.853047 + 0.263130i
\(52\) −3058.73 7793.51i −0.156867 0.399691i
\(53\) −13802.0 + 9410.01i −0.674918 + 0.460151i −0.851652 0.524107i \(-0.824399\pi\)
0.176734 + 0.984259i \(0.443447\pi\)
\(54\) 27467.0 + 4139.99i 1.28182 + 0.193203i
\(55\) 11661.4 + 14622.9i 0.519808 + 0.651819i
\(56\) −17181.2 + 18835.8i −0.732121 + 0.802627i
\(57\) −4189.17 + 5253.06i −0.170782 + 0.214153i
\(58\) −15095.6 + 14006.7i −0.589226 + 0.546721i
\(59\) 27059.5 4078.56i 1.01202 0.152538i 0.377961 0.925822i \(-0.376625\pi\)
0.634060 + 0.773284i \(0.281387\pi\)
\(60\) −6750.25 6263.31i −0.242070 0.224608i
\(61\) 407.182 + 277.612i 0.0140108 + 0.00955243i 0.570305 0.821433i \(-0.306825\pi\)
−0.556294 + 0.830985i \(0.687777\pi\)
\(62\) 7487.16 32803.4i 0.247365 1.08378i
\(63\) −47922.6 + 38888.5i −1.52121 + 1.23444i
\(64\) −7538.21 33027.1i −0.230048 1.00791i
\(65\) 7007.31 17854.3i 0.205716 0.524156i
\(66\) −5939.45 + 79256.4i −0.167836 + 2.23962i
\(67\) −7258.28 + 12571.7i −0.197536 + 0.342143i −0.947729 0.319076i \(-0.896627\pi\)
0.750193 + 0.661219i \(0.229961\pi\)
\(68\) 3785.48 + 6556.65i 0.0992771 + 0.171953i
\(69\) −103688. + 49933.4i −2.62183 + 1.26261i
\(70\) −16106.5 + 1344.90i −0.392877 + 0.0328053i
\(71\) 37139.1 + 17885.2i 0.874349 + 0.421064i 0.816557 0.577264i \(-0.195880\pi\)
0.0577919 + 0.998329i \(0.481594\pi\)
\(72\) −6996.07 93356.1i −0.159046 2.12232i
\(73\) −18171.3 5605.10i −0.399097 0.123105i 0.0887080 0.996058i \(-0.471726\pi\)
−0.487805 + 0.872952i \(0.662202\pi\)
\(74\) 26469.8 + 8164.86i 0.561917 + 0.173328i
\(75\) 4685.69 + 62526.2i 0.0961879 + 1.28354i
\(76\) 2763.92 + 1331.03i 0.0548898 + 0.0264335i
\(77\) −59336.9 62868.8i −1.14051 1.20839i
\(78\) 73433.2 35363.6i 1.36665 0.658142i
\(79\) −36849.0 63824.4i −0.664291 1.15059i −0.979477 0.201555i \(-0.935400\pi\)
0.315187 0.949030i \(-0.397933\pi\)
\(80\) 6764.12 11715.8i 0.118164 0.204667i
\(81\) 3878.16 51750.5i 0.0656771 0.876400i
\(82\) 6442.27 16414.6i 0.105804 0.269585i
\(83\) −7590.30 33255.3i −0.120938 0.529865i −0.998710 0.0507853i \(-0.983828\pi\)
0.877771 0.479080i \(-0.159030\pi\)
\(84\) 33500.9 + 26252.9i 0.518034 + 0.405957i
\(85\) −3859.52 + 16909.7i −0.0579410 + 0.253856i
\(86\) 9129.36 + 6224.29i 0.133105 + 0.0907495i
\(87\) 91069.7 + 84500.4i 1.28996 + 1.19691i
\(88\) 129670. 19544.6i 1.78498 0.269042i
\(89\) 35944.0 33351.2i 0.481007 0.446309i −0.402020 0.915631i \(-0.631692\pi\)
0.883027 + 0.469321i \(0.155501\pi\)
\(90\) 37004.0 46401.6i 0.481551 0.603846i
\(91\) −25409.1 + 84933.0i −0.321652 + 1.07516i
\(92\) 32761.5 + 41081.6i 0.403547 + 0.506032i
\(93\) −200720. 30253.7i −2.40648 0.362719i
\(94\) −79769.6 + 54386.0i −0.931146 + 0.634844i
\(95\) 2567.59 + 6542.11i 0.0291888 + 0.0743719i
\(96\) −106316. + 32794.2i −1.17739 + 0.363178i
\(97\) 167524. 1.80779 0.903897 0.427751i \(-0.140694\pi\)
0.903897 + 0.427751i \(0.140694\pi\)
\(98\) 73670.2 12389.3i 0.774866 0.130312i
\(99\) 317444. 3.25521
\(100\) 27356.4 8438.33i 0.273564 0.0843833i
\(101\) −11086.3 28247.4i −0.108139 0.275533i 0.866553 0.499085i \(-0.166330\pi\)
−0.974692 + 0.223551i \(0.928235\pi\)
\(102\) −60897.2 + 41519.0i −0.579558 + 0.395136i
\(103\) 69373.4 + 10456.4i 0.644317 + 0.0971152i 0.463069 0.886322i \(-0.346748\pi\)
0.181248 + 0.983437i \(0.441986\pi\)
\(104\) −83845.4 105139.i −0.760144 0.953190i
\(105\) 15352.3 + 96290.2i 0.135894 + 0.852332i
\(106\) −46293.7 + 58050.5i −0.400182 + 0.501812i
\(107\) 7169.77 6652.57i 0.0605405 0.0561733i −0.649322 0.760513i \(-0.724947\pi\)
0.709863 + 0.704340i \(0.248757\pi\)
\(108\) −75657.4 + 11403.5i −0.624154 + 0.0940761i
\(109\) −139071. 129039.i −1.12117 1.04029i −0.998857 0.0477993i \(-0.984779\pi\)
−0.122310 0.992492i \(-0.539030\pi\)
\(110\) 68688.5 + 46831.0i 0.541255 + 0.369022i
\(111\) 37186.1 162923.i 0.286466 1.25509i
\(112\) −26649.9 + 56565.1i −0.200748 + 0.426092i
\(113\) −34108.3 149438.i −0.251283 1.10094i −0.930294 0.366815i \(-0.880448\pi\)
0.679011 0.734128i \(-0.262409\pi\)
\(114\) −10910.8 + 27800.2i −0.0786309 + 0.200348i
\(115\) −8995.82 + 120041.i −0.0634302 + 0.846418i
\(116\) 28361.3 49123.2i 0.195696 0.338955i
\(117\) −162768. 281922.i −1.09927 1.90399i
\(118\) 109588. 52775.0i 0.724536 0.348918i
\(119\) 11273.6 79371.1i 0.0729784 0.513801i
\(120\) −133261. 64175.0i −0.844791 0.406830i
\(121\) 21193.9 + 282813.i 0.131598 + 1.75605i
\(122\) 2093.17 + 645.658i 0.0127323 + 0.00392738i
\(123\) −101654. 31356.2i −0.605848 0.186879i
\(124\) 6925.98 + 92420.7i 0.0404508 + 0.539778i
\(125\) 138061. + 66486.8i 0.790309 + 0.380593i
\(126\) −152596. + 227960.i −0.856282 + 1.27918i
\(127\) −72781.7 + 35049.8i −0.400417 + 0.192831i −0.623244 0.782027i \(-0.714186\pi\)
0.222827 + 0.974858i \(0.428471\pi\)
\(128\) −8901.97 15418.7i −0.0480243 0.0831806i
\(129\) 33329.4 57728.2i 0.176341 0.305431i
\(130\) 6370.98 85014.8i 0.0330634 0.441201i
\(131\) −108767. + 277133.i −0.553755 + 1.41094i 0.330441 + 0.943827i \(0.392803\pi\)
−0.884195 + 0.467117i \(0.845293\pi\)
\(132\) −48714.8 213433.i −0.243347 1.06617i
\(133\) −14342.6 29145.8i −0.0703069 0.142872i
\(134\) −14357.9 + 62906.3i −0.0690765 + 0.302644i
\(135\) −144826. 98740.5i −0.683929 0.466295i
\(136\) 89144.4 + 82713.9i 0.413282 + 0.383470i
\(137\) 75709.7 11411.4i 0.344627 0.0519442i 0.0255519 0.999673i \(-0.491866\pi\)
0.319076 + 0.947729i \(0.396628\pi\)
\(138\) −374982. + 347932.i −1.67615 + 1.55524i
\(139\) −40949.5 + 51349.0i −0.179767 + 0.225421i −0.863548 0.504266i \(-0.831763\pi\)
0.683781 + 0.729688i \(0.260334\pi\)
\(140\) 41302.1 16616.7i 0.178095 0.0716516i
\(141\) 363148. + 455373.i 1.53828 + 1.92894i
\(142\) 181176. + 27307.9i 0.754015 + 0.113649i
\(143\) 376759. 256870.i 1.54072 1.05044i
\(144\) −83885.4 213736.i −0.337116 0.858959i
\(145\) 124174. 38302.6i 0.490468 0.151289i
\(146\) −84523.9 −0.328169
\(147\) −107747. 437613.i −0.411256 1.67031i
\(148\) −76300.4 −0.286334
\(149\) 37851.0 11675.5i 0.139673 0.0430834i −0.224130 0.974559i \(-0.571954\pi\)
0.363803 + 0.931476i \(0.381478\pi\)
\(150\) 101820. + 259434.i 0.369493 + 0.941452i
\(151\) −346632. + 236330.i −1.23716 + 0.843482i −0.992029 0.126008i \(-0.959783\pi\)
−0.245131 + 0.969490i \(0.578831\pi\)
\(152\) 48724.3 + 7344.01i 0.171055 + 0.0257825i
\(153\) 183543. + 230156.i 0.633883 + 0.794864i
\(154\) −334394. 189288.i −1.13620 0.643163i
\(155\) −132381. + 166001.i −0.442585 + 0.554984i
\(156\) −164572. + 152701.i −0.541434 + 0.502377i
\(157\) −136910. + 20635.9i −0.443289 + 0.0668151i −0.366895 0.930263i \(-0.619579\pi\)
−0.0763948 + 0.997078i \(0.524341\pi\)
\(158\) −240131. 222809.i −0.765254 0.710052i
\(159\) 370101. + 252331.i 1.16099 + 0.791548i
\(160\) −25896.1 + 113458.i −0.0799714 + 0.350378i
\(161\) −4733.27 556374.i −0.0143912 1.69162i
\(162\) −51328.6 224885.i −0.153664 0.673245i
\(163\) −88943.9 + 226625.i −0.262209 + 0.668097i −0.999976 0.00695850i \(-0.997785\pi\)
0.737767 + 0.675055i \(0.235880\pi\)
\(164\) −3629.74 + 48435.5i −0.0105382 + 0.140622i
\(165\) 250767. 434341.i 0.717069 1.24200i
\(166\) −75808.1 131304.i −0.213523 0.369833i
\(167\) 256308. 123432.i 0.711167 0.342480i −0.0430792 0.999072i \(-0.513717\pi\)
0.754246 + 0.656592i \(0.228002\pi\)
\(168\) 638488. + 244340.i 1.74534 + 0.667916i
\(169\) −86784.7 41793.3i −0.233736 0.112562i
\(170\) 5761.23 + 76878.3i 0.0152895 + 0.204024i
\(171\) 113982. + 35158.8i 0.298089 + 0.0919484i
\(172\) −29082.9 8970.90i −0.0749578 0.0231214i
\(173\) −47768.1 637422.i −0.121345 1.61924i −0.642850 0.765992i \(-0.722248\pi\)
0.521504 0.853249i \(-0.325371\pi\)
\(174\) 497516. + 239591.i 1.24576 + 0.599925i
\(175\) −283117. 108345.i −0.698829 0.267432i
\(176\) 289772. 139547.i 0.705139 0.339577i
\(177\) −366900. 635489.i −0.880267 1.52467i
\(178\) 108973. 188747.i 0.257792 0.446509i
\(179\) 22521.1 300524.i 0.0525361 0.701046i −0.907300 0.420484i \(-0.861860\pi\)
0.959836 0.280562i \(-0.0905207\pi\)
\(180\) −59725.2 + 152177.i −0.137397 + 0.350081i
\(181\) −26789.9 117374.i −0.0607820 0.266303i 0.935401 0.353587i \(-0.115038\pi\)
−0.996183 + 0.0872842i \(0.972181\pi\)
\(182\) 3352.17 + 394033.i 0.00750150 + 0.881766i
\(183\) 2940.59 12883.6i 0.00649093 0.0284386i
\(184\) 697345. + 475442.i 1.51846 + 1.03527i
\(185\) −128136. 118893.i −0.275260 0.255404i
\(186\) −892171. + 134473.i −1.89089 + 0.285006i
\(187\) −302275. + 280470.i −0.632118 + 0.586519i
\(188\) 165806. 207914.i 0.342142 0.429032i
\(189\) 705050. + 399103.i 1.43571 + 0.812700i
\(190\) 19476.6 + 24422.9i 0.0391408 + 0.0490810i
\(191\) −650737. 98082.8i −1.29069 0.194540i −0.532419 0.846481i \(-0.678717\pi\)
−0.758270 + 0.651940i \(0.773955\pi\)
\(192\) −750556. + 511721.i −1.46937 + 1.00180i
\(193\) 327617. + 834755.i 0.633102 + 1.61312i 0.781297 + 0.624159i \(0.214558\pi\)
−0.148195 + 0.988958i \(0.547346\pi\)
\(194\) 711540. 219481.i 1.35736 0.418690i
\(195\) −514319. −0.968604
\(196\) −183849. + 92422.6i −0.341838 + 0.171845i
\(197\) −668436. −1.22714 −0.613570 0.789640i \(-0.710267\pi\)
−0.613570 + 0.789640i \(0.710267\pi\)
\(198\) 1.34831e6 415897.i 2.44414 0.753916i
\(199\) −59592.3 151839.i −0.106674 0.271800i 0.867563 0.497327i \(-0.165685\pi\)
−0.974237 + 0.225526i \(0.927590\pi\)
\(200\) 379934. 259035.i 0.671635 0.457913i
\(201\) 384916. + 58016.7i 0.672010 + 0.101289i
\(202\) −84095.7 105453.i −0.145009 0.181836i
\(203\) −557220. + 224182.i −0.949045 + 0.381821i
\(204\) 126579. 158725.i 0.212954 0.267036i
\(205\) −81569.0 + 75685.0i −0.135563 + 0.125784i
\(206\) 308355. 46477.0i 0.506270 0.0763080i
\(207\) 1.49771e6 + 1.38967e6i 2.42941 + 2.25416i
\(208\) −272511. 185795.i −0.436743 0.297766i
\(209\) −37179.4 + 162894.i −0.0588758 + 0.257952i
\(210\) 191361. + 388868.i 0.299437 + 0.608490i
\(211\) −93962.8 411678.i −0.145295 0.636578i −0.994155 0.107961i \(-0.965568\pi\)
0.848860 0.528617i \(-0.177289\pi\)
\(212\) 74718.9 190381.i 0.114180 0.290926i
\(213\) 82603.2 1.10226e6i 0.124752 1.66470i
\(214\) 21736.9 37649.5i 0.0324462 0.0561984i
\(215\) −34862.2 60383.1i −0.0514350 0.0890881i
\(216\) −1.10725e6 + 533225.i −1.61478 + 0.777635i
\(217\) 545908. 815521.i 0.786992 1.17567i
\(218\) −759748. 365875.i −1.08275 0.521425i
\(219\) 38106.4 + 508494.i 0.0536893 + 0.716433i
\(220\) −218817. 67496.2i −0.304807 0.0940205i
\(221\) 404076. + 124641.i 0.556522 + 0.171664i
\(222\) −55508.9 740715.i −0.0755928 1.00872i
\(223\) −867368. 417702.i −1.16800 0.562477i −0.253604 0.967308i \(-0.581616\pi\)
−0.914391 + 0.404831i \(0.867330\pi\)
\(224\) 75642.1 532555.i 0.100726 0.709160i
\(225\) 1.00291e6 482976.i 1.32070 0.636018i
\(226\) −340656. 590034.i −0.443655 0.768433i
\(227\) −69759.7 + 120827.i −0.0898545 + 0.155633i −0.907449 0.420161i \(-0.861974\pi\)
0.817595 + 0.575794i \(0.195307\pi\)
\(228\) 6147.40 82031.4i 0.00783167 0.104506i
\(229\) −147253. + 375196.i −0.185557 + 0.472791i −0.993136 0.116969i \(-0.962682\pi\)
0.807579 + 0.589760i \(0.200777\pi\)
\(230\) 119062. + 521646.i 0.148407 + 0.650214i
\(231\) −987995. + 2.09704e6i −1.21822 + 2.58570i
\(232\) 202738. 888253.i 0.247295 1.08347i
\(233\) −465457. 317343.i −0.561681 0.382948i 0.248940 0.968519i \(-0.419918\pi\)
−0.810621 + 0.585571i \(0.800870\pi\)
\(234\) −1.06070e6 984183.i −1.26634 1.17500i
\(235\) 602426. 90801.2i 0.711597 0.107256i
\(236\) −245601. + 227884.i −0.287045 + 0.266338i
\(237\) −1.23215e6 + 1.54507e6i −1.42493 + 1.78681i
\(238\) −56104.4 351889.i −0.0642029 0.402683i
\(239\) 419767. + 526372.i 0.475350 + 0.596071i 0.960472 0.278376i \(-0.0897962\pi\)
−0.485122 + 0.874447i \(0.661225\pi\)
\(240\) −358710. 54066.8i −0.401990 0.0605903i
\(241\) 58500.3 39884.8i 0.0648806 0.0442349i −0.530445 0.847719i \(-0.677975\pi\)
0.595326 + 0.803484i \(0.297023\pi\)
\(242\) 460545. + 1.17345e6i 0.505515 + 1.28803i
\(243\) 121353. 37432.3i 0.131836 0.0406659i
\(244\) −6033.66 −0.00648793
\(245\) −452765. 131266.i −0.481900 0.139713i
\(246\) −472847. −0.498176
\(247\) 163730. 50504.0i 0.170760 0.0526724i
\(248\) 543866. + 1.38575e6i 0.561516 + 1.43072i
\(249\) −755742. + 515256.i −0.772459 + 0.526654i
\(250\) 673506. + 101515.i 0.681540 + 0.102726i
\(251\) −760076. 953105.i −0.761505 0.954897i 0.238362 0.971176i \(-0.423389\pi\)
−0.999867 + 0.0162791i \(0.994818\pi\)
\(252\) 216569. 723907.i 0.214830 0.718094i
\(253\) −1.78435e6 + 2.23750e6i −1.75258 + 2.19767i
\(254\) −263211. + 244224.i −0.255988 + 0.237523i
\(255\) 459901. 69318.9i 0.442908 0.0667577i
\(256\) 736651. + 683512.i 0.702525 + 0.651848i
\(257\) 1.19368e6 + 813835.i 1.12734 + 0.768606i 0.975544 0.219806i \(-0.0705426\pi\)
0.151794 + 0.988412i \(0.451495\pi\)
\(258\) 65930.4 288860.i 0.0616647 0.270171i
\(259\) 635929. + 498346.i 0.589060 + 0.461616i
\(260\) 52254.2 + 228940.i 0.0479388 + 0.210034i
\(261\) 805771. 2.05307e6i 0.732168 1.86553i
\(262\) −98889.6 + 1.31959e6i −0.0890015 + 1.18764i
\(263\) −29383.6 + 50893.9i −0.0261948 + 0.0453708i −0.878826 0.477143i \(-0.841672\pi\)
0.852631 + 0.522514i \(0.175006\pi\)
\(264\) −1.75820e6 3.04529e6i −1.55259 2.68917i
\(265\) 422136. 203290.i 0.369265 0.177829i
\(266\) −99103.5 105002.i −0.0858786 0.0909903i
\(267\) −1.18463e6 570486.i −1.01696 0.489742i
\(268\) −13281.8 177233.i −0.0112959 0.150733i
\(269\) −1.30681e6 403097.i −1.10111 0.339648i −0.309640 0.950854i \(-0.600208\pi\)
−0.791471 + 0.611206i \(0.790685\pi\)
\(270\) −744494. 229646.i −0.621516 0.191712i
\(271\) −121596. 1.62258e6i −0.100576 1.34210i −0.787926 0.615770i \(-0.788845\pi\)
0.687350 0.726326i \(-0.258774\pi\)
\(272\) 268719. + 129408.i 0.220230 + 0.106057i
\(273\) 2.36898e6 197810.i 1.92378 0.160636i
\(274\) 306617. 147659.i 0.246729 0.118818i
\(275\) 779616. + 1.35033e6i 0.621655 + 1.07674i
\(276\) 704506. 1.22024e6i 0.556688 0.964212i
\(277\) −19074.1 + 254526.i −0.0149363 + 0.199312i 0.984744 + 0.174012i \(0.0556731\pi\)
−0.999680 + 0.0252998i \(0.991946\pi\)
\(278\) −106653. + 271749.i −0.0827681 + 0.210890i
\(279\) 801887. + 3.51330e6i 0.616741 + 2.70212i
\(280\) 555263. 450588.i 0.423256 0.343467i
\(281\) 193753. 848886.i 0.146380 0.641333i −0.847493 0.530806i \(-0.821889\pi\)
0.993873 0.110526i \(-0.0352537\pi\)
\(282\) 2.13903e6 + 1.45837e6i 1.60175 + 1.09205i
\(283\) 503150. + 466855.i 0.373449 + 0.346510i 0.844461 0.535617i \(-0.179921\pi\)
−0.471012 + 0.882127i \(0.656111\pi\)
\(284\) −499045. + 75219.0i −0.367151 + 0.0553391i
\(285\) 138147. 128182.i 0.100746 0.0934790i
\(286\) 1.26370e6 1.58463e6i 0.913544 1.14555i
\(287\) 346602. 379981.i 0.248385 0.272306i
\(288\) 1.23151e6 + 1.54427e6i 0.874900 + 1.09709i
\(289\) 1.02588e6 + 154626.i 0.722522 + 0.108903i
\(290\) 477233. 325372.i 0.333223 0.227188i
\(291\) −1.64118e6 4.18166e6i −1.13612 2.89479i
\(292\) 222476. 68624.7i 0.152695 0.0471003i
\(293\) 80986.0 0.0551113 0.0275557 0.999620i \(-0.491228\pi\)
0.0275557 + 0.999620i \(0.491228\pi\)
\(294\) −1.03098e6 1.71754e6i −0.695635 1.15888i
\(295\) −767548. −0.513512
\(296\) −1.17111e6 + 361240.i −0.776907 + 0.239644i
\(297\) −1.52245e6 3.87914e6i −1.00150 2.55179i
\(298\) 145471. 99180.6i 0.0948935 0.0646973i
\(299\) 2.90205e6 + 437413.i 1.87727 + 0.282953i
\(300\) −478635. 600189.i −0.307045 0.385022i
\(301\) 183801. + 264719.i 0.116931 + 0.168411i
\(302\) −1.16265e6 + 1.45792e6i −0.733555 + 0.919848i
\(303\) −596488. + 553460.i −0.373246 + 0.346322i
\(304\) 119502. 18012.0i 0.0741636 0.0111784i
\(305\) −10132.7 9401.79i −0.00623701 0.00578710i
\(306\) 1.08111e6 + 737091.i 0.660037 + 0.450005i
\(307\) 56767.3 248714.i 0.0343758 0.150610i −0.954827 0.297161i \(-0.903960\pi\)
0.989203 + 0.146551i \(0.0468173\pi\)
\(308\) 1.03384e6 + 226732.i 0.620980 + 0.136187i
\(309\) −418622. 1.83410e6i −0.249417 1.09277i
\(310\) −344788. + 878506.i −0.203774 + 0.519207i
\(311\) −40123.0 + 535404.i −0.0235230 + 0.313893i 0.973014 + 0.230745i \(0.0741163\pi\)
−0.996537 + 0.0831475i \(0.973503\pi\)
\(312\) −1.80302e6 + 3.12292e6i −1.04861 + 1.81624i
\(313\) −977427. 1.69295e6i −0.563928 0.976752i −0.997149 0.0754640i \(-0.975956\pi\)
0.433221 0.901288i \(-0.357377\pi\)
\(314\) −554475. + 267021.i −0.317364 + 0.152834i
\(315\) 1.49171e6 878242.i 0.847046 0.498698i
\(316\) 812948. + 391495.i 0.457978 + 0.220551i
\(317\) 140428. + 1.87389e6i 0.0784886 + 1.04736i 0.887876 + 0.460082i \(0.152180\pi\)
−0.809388 + 0.587275i \(0.800201\pi\)
\(318\) 1.90255e6 + 586860.i 1.05504 + 0.325437i
\(319\) 2.95213e6 + 910612.i 1.62427 + 0.501022i
\(320\) 71007.0 + 947522.i 0.0387638 + 0.517267i
\(321\) −236298. 113795.i −0.127996 0.0616398i
\(322\) −749034. 2.35693e6i −0.402589 1.26680i
\(323\) −139599. + 67227.5i −0.0744521 + 0.0358542i
\(324\) 317686. + 550248.i 0.168126 + 0.291203i
\(325\) 799490. 1.38476e6i 0.419860 0.727219i
\(326\) −80866.9 + 1.07909e6i −0.0421431 + 0.562361i
\(327\) −1.85858e6 + 4.73558e6i −0.961194 + 2.44908i
\(328\) 173603. + 760606.i 0.0890992 + 0.390369i
\(329\) −2.73988e6 + 649931.i −1.39554 + 0.331038i
\(330\) 496054. 2.17336e6i 0.250752 1.09862i
\(331\) 1.14664e6 + 781766.i 0.575250 + 0.392199i 0.815711 0.578460i \(-0.196346\pi\)
−0.240460 + 0.970659i \(0.577298\pi\)
\(332\) 306140. + 284056.i 0.152431 + 0.141436i
\(333\) −2.93363e6 + 442174.i −1.44976 + 0.218516i
\(334\) 926927. 860062.i 0.454652 0.421856i
\(335\) 253864. 318335.i 0.123592 0.154979i
\(336\) 1.67303e6 + 111072.i 0.808455 + 0.0536733i
\(337\) −1.77829e6 2.22991e6i −0.852960 1.06958i −0.996797 0.0799771i \(-0.974515\pi\)
0.143836 0.989602i \(-0.454056\pi\)
\(338\) −423363. 63811.7i −0.201568 0.0303815i
\(339\) −3.39605e6 + 2.31539e6i −1.60500 + 1.09427i
\(340\) −77581.4 197674.i −0.0363966 0.0927369i
\(341\) −4.82353e6 + 1.48786e6i −2.24636 + 0.692910i
\(342\) 530189. 0.245113
\(343\) 2.13594e6 + 430482.i 0.980289 + 0.197570i
\(344\) −488857. −0.222734
\(345\) 3.08453e6 951452.i 1.39522 0.430367i
\(346\) −1.03800e6 2.64479e6i −0.466132 1.18768i
\(347\) 888078. 605481.i 0.395938 0.269946i −0.348942 0.937144i \(-0.613459\pi\)
0.744880 + 0.667198i \(0.232507\pi\)
\(348\) −1.50404e6 226697.i −0.665749 0.100345i
\(349\) 824611. + 1.03403e6i 0.362398 + 0.454432i 0.929285 0.369363i \(-0.120424\pi\)
−0.566888 + 0.823795i \(0.691853\pi\)
\(350\) −1.34445e6 89258.2i −0.586645 0.0389474i
\(351\) −2.66444e6 + 3.34111e6i −1.15435 + 1.44751i
\(352\) −2.02817e6 + 1.88186e6i −0.872463 + 0.809527i
\(353\) 172826. 26049.3i 0.0738196 0.0111265i −0.112029 0.993705i \(-0.535735\pi\)
0.185848 + 0.982578i \(0.440497\pi\)
\(354\) −2.39095e6 2.21847e6i −1.01406 0.940906i
\(355\) −955288. 651304.i −0.402313 0.274292i
\(356\) −133586. + 585277.i −0.0558643 + 0.244758i
\(357\) −2.09167e6 + 496167.i −0.868604 + 0.206043i
\(358\) −298074. 1.30595e6i −0.122918 0.538540i
\(359\) −219031. + 558082.i −0.0896953 + 0.228540i −0.968681 0.248308i \(-0.920125\pi\)
0.878986 + 0.476848i \(0.158221\pi\)
\(360\) −196229. + 2.61849e6i −0.0798006 + 1.06486i
\(361\) 1.20666e6 2.08999e6i 0.487322 0.844067i
\(362\) −267564. 463435.i −0.107314 0.185873i
\(363\) 6.85182e6 3.29966e6i 2.72922 1.31433i
\(364\) −328737. 1.03441e6i −0.130045 0.409205i
\(365\) 480551. + 231421.i 0.188802 + 0.0909224i
\(366\) −4389.52 58574.0i −0.00171283 0.0228561i
\(367\) −1.00546e6 310143.i −0.389672 0.120198i 0.0937274 0.995598i \(-0.470122\pi\)
−0.483399 + 0.875400i \(0.660598\pi\)
\(368\) 1.97804e6 + 610145.i 0.761405 + 0.234862i
\(369\) 141134. + 1.88330e6i 0.0539593 + 0.720037i
\(370\) −700011. 337108.i −0.265828 0.128016i
\(371\) −1.86619e6 + 1.09872e6i −0.703918 + 0.414431i
\(372\) 2.23911e6 1.07830e6i 0.838915 0.404000i
\(373\) −1.89186e6 3.27679e6i −0.704070 1.21949i −0.967026 0.254678i \(-0.918031\pi\)
0.262956 0.964808i \(-0.415303\pi\)
\(374\) −916421. + 1.58729e6i −0.338778 + 0.586782i
\(375\) 307070. 4.09757e6i 0.112761 1.50469i
\(376\) 1.56055e6 3.97621e6i 0.569256 1.45044i
\(377\) −704977. 3.08871e6i −0.255459 1.11924i
\(378\) 3.51750e6 + 771424.i 1.26621 + 0.277692i
\(379\) −1.09725e6 + 4.80738e6i −0.392382 + 1.71914i 0.263839 + 0.964567i \(0.415011\pi\)
−0.656220 + 0.754569i \(0.727846\pi\)
\(380\) −71093.4 48470.7i −0.0252563 0.0172195i
\(381\) 1.58791e6 + 1.47337e6i 0.560421 + 0.519995i
\(382\) −2.89243e6 + 435964.i −1.01416 + 0.152859i
\(383\) 3.81551e6 3.54028e6i 1.32909 1.23322i 0.377444 0.926032i \(-0.376803\pi\)
0.951649 0.307186i \(-0.0993875\pi\)
\(384\) −297664. + 373258.i −0.103014 + 0.129176i
\(385\) 1.38290e6 + 1.99172e6i 0.475487 + 0.684821i
\(386\) 2.48517e6 + 3.11630e6i 0.848960 + 1.06456i
\(387\) −1.17018e6 176377.i −0.397170 0.0598637i
\(388\) −1.69465e6 + 1.15539e6i −0.571480 + 0.389629i
\(389\) −750536. 1.91233e6i −0.251477 0.640752i 0.748267 0.663398i \(-0.230886\pi\)
−0.999744 + 0.0226459i \(0.992791\pi\)
\(390\) −2.18451e6 + 673833.i −0.727265 + 0.224332i
\(391\) −2.65395e6 −0.877910
\(392\) −2.38427e6 + 2.28899e6i −0.783682 + 0.752365i
\(393\) 7.98321e6 2.60733
\(394\) −2.83910e6 + 875748.i −0.921384 + 0.284209i
\(395\) 755200. + 1.92422e6i 0.243539 + 0.620528i
\(396\) −3.21122e6 + 2.18937e6i −1.02904 + 0.701586i
\(397\) 2.76071e6 + 416110.i 0.879113 + 0.132505i 0.573064 0.819511i \(-0.305755\pi\)
0.306049 + 0.952016i \(0.400993\pi\)
\(398\) −452042. 566843.i −0.143045 0.179372i
\(399\) −587013. + 643543.i −0.184593 + 0.202370i
\(400\) 703171. 881749.i 0.219741 0.275547i
\(401\) 347336. 322281.i 0.107867 0.100086i −0.624396 0.781108i \(-0.714655\pi\)
0.732263 + 0.681022i \(0.238464\pi\)
\(402\) 1.71089e6 257876.i 0.528030 0.0795876i
\(403\) 3.79462e6 + 3.52089e6i 1.16387 + 1.07992i
\(404\) 306966. + 209286.i 0.0935699 + 0.0637949i
\(405\) −323899. + 1.41909e6i −0.0981232 + 0.429906i
\(406\) −2.07302e6 + 1.68223e6i −0.624148 + 0.506488i
\(407\) −924727. 4.05149e6i −0.276712 1.21235i
\(408\) 1.19135e6 3.03550e6i 0.354313 0.902775i
\(409\) −357795. + 4.77445e6i −0.105761 + 1.41129i 0.651735 + 0.758447i \(0.274041\pi\)
−0.757497 + 0.652839i \(0.773578\pi\)
\(410\) −247297. + 428330.i −0.0726538 + 0.125840i
\(411\) −1.02655e6 1.77803e6i −0.299761 0.519201i
\(412\) −773887. + 372685.i −0.224613 + 0.108168i
\(413\) 3.53536e6 295204.i 1.01990 0.0851621i
\(414\) 8.18199e6 + 3.94024e6i 2.34616 + 1.12985i
\(415\) 71497.6 + 954069.i 0.0203785 + 0.271932i
\(416\) 2.71122e6 + 836301.i 0.768125 + 0.236935i
\(417\) 1.68292e6 + 519111.i 0.473939 + 0.146191i
\(418\) 55499.0 + 740582.i 0.0155362 + 0.207316i
\(419\) −1.61001e6 775339.i −0.448015 0.215753i 0.196252 0.980554i \(-0.437123\pi\)
−0.644267 + 0.764801i \(0.722837\pi\)
\(420\) −819403. 868175.i −0.226660 0.240151i
\(421\) −4.57960e6 + 2.20542e6i −1.25928 + 0.606437i −0.939984 0.341218i \(-0.889160\pi\)
−0.319295 + 0.947655i \(0.603446\pi\)
\(422\) −938454. 1.62545e6i −0.256526 0.444316i
\(423\) 5.17009e6 8.95486e6i 1.40491 2.43337i
\(424\) 245491. 3.27585e6i 0.0663164 0.884930i
\(425\) −528264. + 1.34599e6i −0.141866 + 0.361469i
\(426\) −1.09328e6 4.78995e6i −0.291881 1.27881i
\(427\) 50287.8 + 39408.0i 0.0133473 + 0.0104596i
\(428\) −26646.4 + 116745.i −0.00703119 + 0.0308057i
\(429\) −1.01028e7 6.88800e6i −2.65033 1.80697i
\(430\) −227184. 210796.i −0.0592524 0.0549782i
\(431\) 5.76283e6 868608.i 1.49432 0.225232i 0.649531 0.760335i \(-0.274965\pi\)
0.844787 + 0.535103i \(0.179727\pi\)
\(432\) −2.20953e6 + 2.05015e6i −0.569628 + 0.528537i
\(433\) −1.02938e6 + 1.29081e6i −0.263850 + 0.330858i −0.896055 0.443944i \(-0.853579\pi\)
0.632204 + 0.774802i \(0.282150\pi\)
\(434\) 1.25023e6 4.17905e6i 0.318615 1.06501i
\(435\) −2.17258e6 2.72433e6i −0.550495 0.690299i
\(436\) 2.29679e6 + 346185.i 0.578635 + 0.0872152i
\(437\) −888510. + 605776.i −0.222566 + 0.151743i
\(438\) 828053. + 2.10985e6i 0.206240 + 0.525491i
\(439\) 5.99022e6 1.84774e6i 1.48348 0.457593i 0.555909 0.831243i \(-0.312370\pi\)
0.927570 + 0.373650i \(0.121894\pi\)
\(440\) −3.67812e6 −0.905719
\(441\) −6.53310e6 + 4.61894e6i −1.59964 + 1.13096i
\(442\) 1.87956e6 0.457616
\(443\) −4.13844e6 + 1.27654e6i −1.00191 + 0.309047i −0.751958 0.659211i \(-0.770890\pi\)
−0.249950 + 0.968259i \(0.580414\pi\)
\(444\) 747490. + 1.90457e6i 0.179948 + 0.458501i
\(445\) −1.13633e6 + 774738.i −0.272023 + 0.185462i
\(446\) −4.23129e6 637765.i −1.00725 0.151818i
\(447\) −662252. 830438.i −0.156767 0.196580i
\(448\) −691484. 4.33702e6i −0.162775 1.02093i
\(449\) 3.24659e6 4.07110e6i 0.759997 0.953007i −0.239844 0.970811i \(-0.577096\pi\)
0.999841 + 0.0178048i \(0.00566773\pi\)
\(450\) 3.62697e6 3.36534e6i 0.844332 0.783426i
\(451\) −2.61588e6 + 394280.i −0.605586 + 0.0912774i
\(452\) 1.37569e6 + 1.27645e6i 0.316719 + 0.293872i
\(453\) 9.29498e6 + 6.33721e6i 2.12815 + 1.45095i
\(454\) −137995. + 604595.i −0.0314212 + 0.137665i
\(455\) 1.05978e6 2.24940e6i 0.239986 0.509377i
\(456\) −294019. 1.28818e6i −0.0662159 0.290111i
\(457\) 2.09454e6 5.33680e6i 0.469135 1.19534i −0.479098 0.877762i \(-0.659036\pi\)
0.948233 0.317576i \(-0.102869\pi\)
\(458\) −133881. + 1.78652e6i −0.0298233 + 0.397965i
\(459\) 1.93222e6 3.34670e6i 0.428080 0.741456i
\(460\) −736907. 1.27636e6i −0.162375 0.281241i
\(461\) −1.67723e6 + 807712.i −0.367570 + 0.177013i −0.608546 0.793519i \(-0.708247\pi\)
0.240976 + 0.970531i \(0.422533\pi\)
\(462\) −1.44896e6 + 1.02014e7i −0.315829 + 2.22358i
\(463\) −2.06939e6 996567.i −0.448632 0.216050i 0.195905 0.980623i \(-0.437236\pi\)
−0.644537 + 0.764573i \(0.722950\pi\)
\(464\) −166989. 2.22832e6i −0.0360075 0.480487i
\(465\) 5.44052e6 + 1.67818e6i 1.16683 + 0.359920i
\(466\) −2.39274e6 738063.i −0.510424 0.157445i
\(467\) 93133.0 + 1.24277e6i 0.0197611 + 0.263694i 0.998330 + 0.0577728i \(0.0183999\pi\)
−0.978569 + 0.205921i \(0.933981\pi\)
\(468\) 3.59092e6 + 1.72930e6i 0.757864 + 0.364968i
\(469\) −1.04688e6 + 1.56390e6i −0.219767 + 0.328306i
\(470\) 2.43977e6 1.17493e6i 0.509454 0.245340i
\(471\) 1.85637e6 + 3.21533e6i 0.385578 + 0.667841i
\(472\) −2.69074e6 + 4.66050e6i −0.555926 + 0.962893i
\(473\) 123876. 1.65300e6i 0.0254585 0.339720i
\(474\) −3.20916e6 + 8.17682e6i −0.656064 + 1.67162i
\(475\) 130373. + 571202.i 0.0265127 + 0.116160i
\(476\) 433371. + 880659.i 0.0876682 + 0.178152i
\(477\) 1.76954e6 7.75285e6i 0.356094 1.56015i
\(478\) 2.47254e6 + 1.68575e6i 0.494963 + 0.337460i
\(479\) −1.78475e6 1.65601e6i −0.355417 0.329779i 0.482175 0.876075i \(-0.339847\pi\)
−0.837592 + 0.546296i \(0.816037\pi\)
\(480\) 3.08579e6 465108.i 0.611312 0.0921405i
\(481\) −3.12399e6 + 2.89864e6i −0.615668 + 0.571257i
\(482\) 196218. 246050.i 0.0384699 0.0482398i
\(483\) −1.38416e7 + 5.56876e6i −2.69971 + 1.08615i
\(484\) −2.16492e6 2.71473e6i −0.420077 0.526760i
\(485\) −4.64631e6 700318.i −0.896920 0.135189i
\(486\) 466389. 317979.i 0.0895690 0.0610671i
\(487\) 2.15795e6 + 5.49837e6i 0.412306 + 1.05054i 0.974670 + 0.223648i \(0.0717967\pi\)
−0.562364 + 0.826890i \(0.690108\pi\)
\(488\) −92608.7 + 28566.0i −0.0176036 + 0.00543000i
\(489\) 6.52826e6 1.23460
\(490\) −2.09504e6 + 35649.1i −0.394187 + 0.00670746i
\(491\) 224506. 0.0420267 0.0210133 0.999779i \(-0.493311\pi\)
0.0210133 + 0.999779i \(0.493311\pi\)
\(492\) 1.24458e6 383903.i 0.231799 0.0715004i
\(493\) 1.04668e6 + 2.66689e6i 0.193952 + 0.494182i
\(494\) 629256. 429019.i 0.116014 0.0790969i
\(495\) −8.80434e6 1.32704e6i −1.61504 0.243428i
\(496\) 2.27642e6 + 2.85453e6i 0.415477 + 0.520992i
\(497\) 4.65060e6 + 2.63253e6i 0.844536 + 0.478060i
\(498\) −2.53487e6 + 3.17862e6i −0.458017 + 0.574335i
\(499\) 3.79882e6 3.52479e6i 0.682964 0.633698i −0.260383 0.965505i \(-0.583849\pi\)
0.943347 + 0.331808i \(0.107658\pi\)
\(500\) −1.85516e6 + 279620.i −0.331861 + 0.0500200i
\(501\) −5.59201e6 5.18863e6i −0.995345 0.923545i
\(502\) −4.47704e6 3.05239e6i −0.792924 0.540607i
\(503\) 2.14049e6 9.37810e6i 0.377219 1.65270i −0.328718 0.944428i \(-0.606617\pi\)
0.705937 0.708275i \(-0.250526\pi\)
\(504\) −103248. 1.21364e7i −0.0181053 2.12820i
\(505\) 189394. + 829788.i 0.0330474 + 0.144790i
\(506\) −4.64736e6 + 1.18413e7i −0.806919 + 2.05600i
\(507\) −193023. + 2.57571e6i −0.0333495 + 0.445018i
\(508\) 494515. 856525.i 0.0850198 0.147259i
\(509\) 5.49618e6 + 9.51967e6i 0.940301 + 1.62865i 0.764897 + 0.644152i \(0.222790\pi\)
0.175403 + 0.984497i \(0.443877\pi\)
\(510\) 1.86256e6 896960.i 0.317091 0.152703i
\(511\) −2.30245e6 881115.i −0.390066 0.149273i
\(512\) 4.53764e6 + 2.18521e6i 0.764990 + 0.368400i
\(513\) −117016. 1.56148e6i −0.0196315 0.261964i
\(514\) 6.13624e6 + 1.89278e6i 1.02446 + 0.316004i
\(515\) −1.88037e6 580016.i −0.312410 0.0963656i
\(516\) 60988.8 + 813839.i 0.0100838 + 0.134559i
\(517\) 1.30496e7 + 6.28435e6i 2.14719 + 1.03403i
\(518\) 3.35394e6 + 1.28351e6i 0.549200 + 0.210171i
\(519\) −1.54430e7 + 7.43697e6i −2.51660 + 1.21193i
\(520\) 1.88594e6 + 3.26654e6i 0.305858 + 0.529761i
\(521\) 3.73789e6 6.47421e6i 0.603298 1.04494i −0.389020 0.921229i \(-0.627186\pi\)
0.992318 0.123714i \(-0.0394805\pi\)
\(522\) 732599. 9.77586e6i 0.117677 1.57029i
\(523\) 2.59923e6 6.62273e6i 0.415518 1.05872i −0.557944 0.829878i \(-0.688410\pi\)
0.973463 0.228845i \(-0.0734950\pi\)
\(524\) −811083. 3.55359e6i −0.129044 0.565378i
\(525\) 69151.5 + 8.12845e6i 0.0109497 + 1.28709i
\(526\) −58125.1 + 254663.i −0.00916008 + 0.0401329i
\(527\) −3.86766e6 2.63693e6i −0.606627 0.413591i
\(528\) −6.32210e6 5.86605e6i −0.986907 0.915716i
\(529\) −1.18492e7 + 1.78598e6i −1.84098 + 0.277484i
\(530\) 1.52663e6 1.41651e6i 0.236073 0.219043i
\(531\) −8.12234e6 + 1.01851e7i −1.25010 + 1.56758i
\(532\) 346102. + 195915.i 0.0530182 + 0.0300116i
\(533\) 1.69144e6 + 2.12100e6i 0.257893 + 0.323387i
\(534\) −5.77898e6 871042.i −0.876997 0.132186i
\(535\) −226665. + 154537.i −0.0342373 + 0.0233426i
\(536\) −1.04296e6 2.65741e6i −0.156803 0.399528i
\(537\) −7.72216e6 + 2.38197e6i −1.15559 + 0.356452i
\(538\) −6.07863e6 −0.905420
\(539\) −7.13573e6 8.64211e6i −1.05795 1.28129i
\(540\) 2.14604e6 0.316703
\(541\) 2.52625e6 779246.i 0.371094 0.114467i −0.103598 0.994619i \(-0.533036\pi\)
0.474692 + 0.880152i \(0.342559\pi\)
\(542\) −2.64228e6 6.73242e6i −0.386350 0.984403i
\(543\) −2.66739e6 + 1.81859e6i −0.388228 + 0.264689i
\(544\) −2.53707e6 382402.i −0.367566 0.0554017i
\(545\) 3.31772e6 + 4.16028e6i 0.478462 + 0.599973i
\(546\) 9.80281e6 3.94388e6i 1.40724 0.566164i
\(547\) 4.37536e6 5.48653e6i 0.625238 0.784024i −0.363833 0.931464i \(-0.618532\pi\)
0.989071 + 0.147440i \(0.0471035\pi\)
\(548\) −687165. + 637596.i −0.0977484 + 0.0906973i
\(549\) −231985. + 34966.1i −0.0328495 + 0.00495126i
\(550\) 5.08046e6 + 4.71398e6i 0.716138 + 0.664479i
\(551\) 959144. + 653933.i 0.134588 + 0.0917602i
\(552\) 5.03609e6 2.20645e7i 0.703470 3.08210i
\(553\) −4.21855e6 8.57259e6i −0.586612 1.19206i
\(554\) 252451. + 1.10606e6i 0.0349464 + 0.153110i
\(555\) −1.71244e6 + 4.36323e6i −0.235985 + 0.601279i
\(556\) 60091.3 801862.i 0.00824374 0.110005i
\(557\) 4.91663e6 8.51586e6i 0.671475 1.16303i −0.306011 0.952028i \(-0.598994\pi\)
0.977486 0.211001i \(-0.0676723\pi\)
\(558\) 8.00885e6 + 1.38717e7i 1.08889 + 1.88602i
\(559\) −1.53155e6 + 737557.i −0.207302 + 0.0998312i
\(560\) 975603. 1.45743e6i 0.131463 0.196389i
\(561\) 9.96224e6 + 4.79756e6i 1.33644 + 0.643596i
\(562\) −289221. 3.85939e6i −0.0386268 0.515439i
\(563\) 5.47166e6 + 1.68778e6i 0.727526 + 0.224412i 0.636326 0.771421i \(-0.280454\pi\)
0.0912001 + 0.995833i \(0.470930\pi\)
\(564\) −6.81420e6 2.10190e6i −0.902022 0.278237i
\(565\) 321286. + 4.28727e6i 0.0423420 + 0.565014i
\(566\) 2.74872e6 + 1.32371e6i 0.360653 + 0.173681i
\(567\) 946102. 6.66099e6i 0.123589 0.870124i
\(568\) −7.30358e6 + 3.51722e6i −0.949871 + 0.457434i
\(569\) 4.15598e6 + 7.19836e6i 0.538137 + 0.932080i 0.999004 + 0.0446112i \(0.0142049\pi\)
−0.460868 + 0.887469i \(0.652462\pi\)
\(570\) 418827. 725429.i 0.0539942 0.0935208i
\(571\) −329649. + 4.39886e6i −0.0423118 + 0.564611i 0.935253 + 0.353979i \(0.115171\pi\)
−0.977565 + 0.210633i \(0.932448\pi\)
\(572\) −2.03964e6 + 5.19692e6i −0.260653 + 0.664134i
\(573\) 3.92676e6 + 1.72043e7i 0.499629 + 2.18902i
\(574\) 974321. 2.06802e6i 0.123431 0.261984i
\(575\) −2.23309e6 + 9.78381e6i −0.281668 + 1.23407i
\(576\) 1.33247e7 + 9.08462e6i 1.67341 + 1.14091i
\(577\) −1.82185e6 1.69043e6i −0.227811 0.211377i 0.558006 0.829837i \(-0.311567\pi\)
−0.785817 + 0.618460i \(0.787757\pi\)
\(578\) 4.55988e6 687291.i 0.567719 0.0855699i
\(579\) 1.76272e7 1.63556e7i 2.18518 2.02755i
\(580\) −991959. + 1.24388e6i −0.122440 + 0.153535i
\(581\) −696262. 4.36699e6i −0.0855722 0.536713i
\(582\) −1.24493e7 1.56109e7i −1.52348 1.91039i
\(583\) 1.10146e7 + 1.66019e6i 1.34214 + 0.202295i
\(584\) 3.08981e6 2.10660e6i 0.374887 0.255594i
\(585\) 3.33584e6 + 8.49958e6i 0.403010 + 1.02685i
\(586\) 343979. 106103.i 0.0413797 0.0127639i
\(587\) −2.93507e6 −0.351579 −0.175790 0.984428i \(-0.556248\pi\)
−0.175790 + 0.984428i \(0.556248\pi\)
\(588\) 4.10811e6 + 3.68371e6i 0.490003 + 0.439382i
\(589\) −1.89674e6 −0.225278
\(590\) −3.26007e6 + 1.00560e6i −0.385564 + 0.118931i
\(591\) 6.54845e6 + 1.66852e7i 0.771205 + 1.96500i
\(592\) −2.48353e6 + 1.69324e6i −0.291249 + 0.198570i
\(593\) −8.33945e6 1.25697e6i −0.973869 0.146787i −0.357216 0.934022i \(-0.616274\pi\)
−0.616653 + 0.787235i \(0.711512\pi\)
\(594\) −1.15487e7 1.44816e7i −1.34297 1.68403i
\(595\) −644476. + 2.15424e6i −0.0746302 + 0.249460i
\(596\) −302371. + 379162.i −0.0348678 + 0.0437229i
\(597\) −3.20632e6 + 2.97503e6i −0.368189 + 0.341630i
\(598\) 1.28992e7 1.94424e6i 1.47506 0.222329i
\(599\) −856979. 795160.i −0.0975895 0.0905498i 0.629869 0.776701i \(-0.283108\pi\)
−0.727459 + 0.686151i \(0.759299\pi\)
\(600\) −1.01880e7 6.94605e6i −1.15534 0.787698i
\(601\) −3.45013e6 + 1.51160e7i −0.389627 + 1.70707i 0.276319 + 0.961066i \(0.410885\pi\)
−0.665946 + 0.746000i \(0.731972\pi\)
\(602\) 1.12749e6 + 883559.i 0.126801 + 0.0993675i
\(603\) −1.53776e6 6.73737e6i −0.172225 0.754566i
\(604\) 1.87654e6 4.78135e6i 0.209298 0.533284i
\(605\) 594456. 7.93246e6i 0.0660284 0.881088i
\(606\) −1.80840e6 + 3.13224e6i −0.200038 + 0.346477i
\(607\) 1.46979e6 + 2.54575e6i 0.161913 + 0.280442i 0.935555 0.353181i \(-0.114900\pi\)
−0.773641 + 0.633624i \(0.781567\pi\)
\(608\) −936666. + 451075.i −0.102760 + 0.0494868i
\(609\) 1.10548e7 + 1.17128e7i 1.20784 + 1.27973i
\(610\) −55355.2 26657.7i −0.00602329 0.00290067i
\(611\) −1.10998e6 1.48116e7i −0.120285 1.60509i
\(612\) −3.44405e6 1.06235e6i −0.371698 0.114654i
\(613\) −8.32165e6 2.56689e6i −0.894455 0.275903i −0.186747 0.982408i \(-0.559794\pi\)
−0.707708 + 0.706505i \(0.750271\pi\)
\(614\) −84738.5 1.13076e6i −0.00907109 0.121045i
\(615\) 2.68832e6 + 1.29462e6i 0.286611 + 0.138024i
\(616\) 1.69416e7 1.41463e6i 1.79888 0.150207i
\(617\) −3.69054e6 + 1.77727e6i −0.390281 + 0.187949i −0.618725 0.785608i \(-0.712350\pi\)
0.228444 + 0.973557i \(0.426636\pi\)
\(618\) −4.18098e6 7.24168e6i −0.440360 0.762725i
\(619\) 7.31237e6 1.26654e7i 0.767064 1.32859i −0.172084 0.985082i \(-0.555050\pi\)
0.939148 0.343512i \(-0.111617\pi\)
\(620\) 194262. 2.59225e6i 0.0202960 0.270831i
\(621\) 9.79870e6 2.49667e7i 1.01962 2.59796i
\(622\) 531039. + 2.32663e6i 0.0550365 + 0.241131i
\(623\) 4.93603e6 4.00552e6i 0.509516 0.413465i
\(624\) −1.96802e6 + 8.62246e6i −0.202334 + 0.886482i
\(625\) 2.48625e6 + 1.69510e6i 0.254592 + 0.173578i
\(626\) −6.36952e6 5.91005e6i −0.649637 0.602775i
\(627\) 4.43031e6 667761.i 0.450054 0.0678348i
\(628\) 1.24264e6 1.15300e6i 0.125732 0.116663i
\(629\) 2.40278e6 3.01299e6i 0.242151 0.303648i
\(630\) 5.18523e6 5.68458e6i 0.520495 0.570620i
\(631\) 1.50622e6 + 1.88874e6i 0.150596 + 0.188842i 0.851407 0.524505i \(-0.175750\pi\)
−0.700811 + 0.713347i \(0.747178\pi\)
\(632\) 1.43312e7 + 2.16008e6i 1.42722 + 0.215118i
\(633\) −9.35558e6 + 6.37853e6i −0.928029 + 0.632719i
\(634\) 3.05151e6 + 7.77513e6i 0.301503 + 0.768218i
\(635\) 2.16513e6 667854.i 0.213083 0.0657275i
\(636\) −5.48419e6 −0.537613
\(637\) −4.01625e6 + 1.07685e7i −0.392168 + 1.05149i
\(638\) 1.37319e7 1.33560
\(639\) −1.87516e7 + 5.78411e6i −1.81671 + 0.560382i
\(640\) 182441. + 464852.i 0.0176065 + 0.0448606i
\(641\) −1.14403e7 + 7.79986e6i −1.09974 + 0.749793i −0.970327 0.241797i \(-0.922263\pi\)
−0.129418 + 0.991590i \(0.541311\pi\)
\(642\) −1.15274e6 173747.i −0.110381 0.0166372i
\(643\) −1.19255e7 1.49541e7i −1.13749 1.42637i −0.889099 0.457715i \(-0.848668\pi\)
−0.248396 0.968659i \(-0.579903\pi\)
\(644\) 3.88512e6 + 5.59556e6i 0.369139 + 0.531653i
\(645\) −1.16572e6 + 1.46177e6i −0.110330 + 0.138350i
\(646\) −504854. + 468436.i −0.0475975 + 0.0441641i
\(647\) −1.22237e7 + 1.84243e6i −1.14800 + 0.173033i −0.695361 0.718661i \(-0.744755\pi\)
−0.452639 + 0.891694i \(0.649517\pi\)
\(648\) 7.48118e6 + 6.94152e6i 0.699895 + 0.649407i
\(649\) −1.50770e7 1.02793e7i −1.40509 0.957974i
\(650\) 1.58151e6 6.92904e6i 0.146821 0.643265i
\(651\) −2.57047e7 5.63731e6i −2.37717 0.521338i
\(652\) −663263. 2.90594e6i −0.0611036 0.267712i
\(653\) −706969. + 1.80133e6i −0.0648810 + 0.165314i −0.959637 0.281241i \(-0.909254\pi\)
0.894756 + 0.446555i \(0.147349\pi\)
\(654\) −1.68980e6 + 2.25488e7i −0.154487 + 2.06148i
\(655\) 4.17518e6 7.23162e6i 0.380252 0.658616i
\(656\) 956723. + 1.65709e6i 0.0868014 + 0.150344i
\(657\) 8.15616e6 3.92780e6i 0.737178 0.355006i
\(658\) −1.07858e7 + 6.35015e6i −0.971155 + 0.571767i
\(659\) 1.23360e7 + 5.94068e6i 1.10652 + 0.532872i 0.895703 0.444653i \(-0.146673\pi\)
0.210818 + 0.977525i \(0.432387\pi\)
\(660\) 458874. + 6.12324e6i 0.0410047 + 0.547169i
\(661\) −1.95364e7 6.02617e6i −1.73916 0.536460i −0.747379 0.664398i \(-0.768688\pi\)
−0.991782 + 0.127937i \(0.959164\pi\)
\(662\) 5.89444e6 + 1.81820e6i 0.522755 + 0.161248i
\(663\) −847374. 1.13074e7i −0.0748671 0.999032i
\(664\) 6.04370e6 + 2.91049e6i 0.531964 + 0.256180i
\(665\) 275952. + 868318.i 0.0241980 + 0.0761421i
\(666\) −1.18810e7 + 5.72157e6i −1.03792 + 0.499838i
\(667\) 9.94184e6 + 1.72198e7i 0.865271 + 1.49869i
\(668\) −1.74149e6 + 3.01634e6i −0.151001 + 0.261541i
\(669\) −1.92916e6 + 2.57429e7i −0.166649 + 2.22378i
\(670\) 661192. 1.68469e6i 0.0569037 0.144988i
\(671\) −73125.2 320382.i −0.00626990 0.0274702i
\(672\) −1.40344e7 + 3.32912e6i −1.19887 + 0.284385i
\(673\) −111607. + 488982.i −0.00949846 + 0.0416155i −0.979455 0.201662i \(-0.935366\pi\)
0.969957 + 0.243278i \(0.0782227\pi\)
\(674\) −1.04746e7 7.14146e6i −0.888153 0.605532i
\(675\) −1.07119e7 9.93916e6i −0.904910 0.839634i
\(676\) 1.16614e6 175768.i 0.0981490 0.0147936i
\(677\) −1.79618e6 + 1.66661e6i −0.150618 + 0.139753i −0.751883 0.659297i \(-0.770854\pi\)
0.601265 + 0.799050i \(0.294664\pi\)
\(678\) −1.13908e7 + 1.42837e7i −0.951659 + 1.19334i
\(679\) 2.16705e7 + 1.43870e6i 1.80382 + 0.119756i
\(680\) −2.12665e6 2.66674e6i −0.176370 0.221161i
\(681\) 3.69944e6 + 557601.i 0.305681 + 0.0460740i
\(682\) −1.85381e7 + 1.26390e7i −1.52617 + 1.04053i
\(683\) −7.04319e6 1.79458e7i −0.577720 1.47201i −0.858794 0.512321i \(-0.828786\pi\)
0.281074 0.959686i \(-0.409309\pi\)
\(684\) −1.39551e6 + 430459.i −0.114050 + 0.0351796i
\(685\) −2.14752e6 −0.174868
\(686\) 9.63616e6 969968.i 0.781796 0.0786950i
\(687\) 1.08080e7 0.873685
\(688\) −1.14571e6 + 353405.i −0.0922792 + 0.0284644i
\(689\) −4.17329e6 1.06334e7i −0.334912 0.853341i
\(690\) 1.18546e7 8.08236e6i 0.947908 0.646272i
\(691\) −1.69986e6 256213.i −0.135431 0.0204130i 0.0809767 0.996716i \(-0.474196\pi\)
−0.216408 + 0.976303i \(0.569434\pi\)
\(692\) 4.87943e6 + 6.11861e6i 0.387350 + 0.485722i
\(693\) 4.10636e7 + 2.72621e6i 3.24806 + 0.215638i
\(694\) 2.97874e6 3.73522e6i 0.234765 0.294386i
\(695\) 1.35040e6 1.25298e6i 0.106047 0.0983974i
\(696\) −2.41583e7 + 3.64128e6i −1.89035 + 0.284925i
\(697\) −1.79834e6 1.66862e6i −0.140213 0.130099i
\(698\) 4.85716e6 + 3.31156e6i 0.377350 + 0.257273i
\(699\) −3.36144e6 + 1.47274e7i −0.260215 + 1.14008i
\(700\) 3.61121e6 856621.i 0.278553 0.0660759i
\(701\) −601257. 2.63428e6i −0.0462131 0.202473i 0.946551 0.322554i \(-0.104542\pi\)
−0.992764 + 0.120082i \(0.961684\pi\)
\(702\) −6.93958e6 + 1.76818e7i −0.531484 + 1.35420i
\(703\) 116693. 1.55716e6i 0.00890545 0.118835i
\(704\) −1.12948e7 + 1.95633e7i −0.858912 + 1.48768i
\(705\) −8.16831e6 1.41479e7i −0.618955 1.07206i
\(706\) 699929. 337068.i 0.0528497 0.0254511i
\(707\) −1.19150e6 3.74920e6i −0.0896489 0.282092i
\(708\) 8.09440e6 + 3.89806e6i 0.606878 + 0.292257i
\(709\) −1.72935e6 2.30766e7i −0.129202 1.72407i −0.565906 0.824470i \(-0.691474\pi\)
0.436705 0.899605i \(-0.356145\pi\)
\(710\) −4.91078e6 1.51477e6i −0.365599 0.112772i
\(711\) 3.35254e7 + 1.03412e7i 2.48714 + 0.767180i
\(712\) 720596. + 9.61569e6i 0.0532712 + 0.710854i
\(713\) −2.92709e7 1.40961e7i −2.15631 1.03843i
\(714\) −8.23405e6 + 4.84779e6i −0.604461 + 0.355876i
\(715\) −1.15233e7 + 5.54931e6i −0.842966 + 0.405951i
\(716\) 1.84485e6 + 3.19538e6i 0.134487 + 0.232938i
\(717\) 9.02671e6 1.56347e7i 0.655740 1.13577i
\(718\) −199141. + 2.65735e6i −0.0144162 + 0.192370i
\(719\) −3.15126e6 + 8.02928e6i −0.227333 + 0.579235i −0.998340 0.0575916i \(-0.981658\pi\)
0.771007 + 0.636826i \(0.219753\pi\)
\(720\) 1.43307e6 + 6.27868e6i 0.103023 + 0.451374i
\(721\) 8.88414e6 + 1.94838e6i 0.636469 + 0.139584i
\(722\) 2.38695e6 1.04579e7i 0.170412 0.746623i
\(723\) −1.56869e6 1.06952e6i −0.111607 0.0760925i
\(724\) 1.08052e6 + 1.00257e6i 0.0766101 + 0.0710837i
\(725\) 1.07122e7 1.61461e6i 0.756893 0.114083i
\(726\) 2.47793e7 2.29918e7i 1.74480 1.61894i
\(727\) 1.02519e7 1.28555e7i 0.719397 0.902095i −0.278906 0.960318i \(-0.589972\pi\)
0.998304 + 0.0582228i \(0.0185434\pi\)
\(728\) −9.94306e6 1.43205e7i −0.695331 1.00145i
\(729\) −9.98582e6 1.25218e7i −0.695929 0.872667i
\(730\) 2.34428e6 + 353343.i 0.162818 + 0.0245409i
\(731\) 1.27010e6 865938.i 0.0879111 0.0599368i
\(732\) 59109.7 + 150609.i 0.00407738 + 0.0103890i
\(733\) 1.19083e7 3.67321e6i 0.818631 0.252514i 0.142971 0.989727i \(-0.454335\pi\)
0.675661 + 0.737213i \(0.263858\pi\)
\(734\) −4.67690e6 −0.320419
\(735\) 1.15898e6 + 1.25877e7i 0.0791332 + 0.859462i
\(736\) −1.78071e7 −1.21171
\(737\) 9.24997e6 2.85324e6i 0.627295 0.193495i
\(738\) 3.06685e6 + 7.81421e6i 0.207277 + 0.528134i
\(739\) 4.94823e6 3.37364e6i 0.333302 0.227242i −0.385091 0.922878i \(-0.625830\pi\)
0.718394 + 0.695637i \(0.244878\pi\)
\(740\) 2.11620e6 + 318966.i 0.142062 + 0.0214124i
\(741\) −2.86466e6 3.59217e6i −0.191658 0.240332i
\(742\) −6.48696e6 + 7.11167e6i −0.432545 + 0.474200i
\(743\) −1.84012e6 + 2.30744e6i −0.122286 + 0.153341i −0.839206 0.543814i \(-0.816980\pi\)
0.716920 + 0.697155i \(0.245551\pi\)
\(744\) 2.92623e7 2.71514e7i 1.93810 1.79829i
\(745\) −1.09861e6 + 165589.i −0.0725192 + 0.0109305i
\(746\) −1.23285e7 1.14392e7i −0.811080 0.752572i
\(747\) 1.34168e7 + 9.14739e6i 0.879724 + 0.599785i
\(748\) 1.12340e6 4.92194e6i 0.0734144 0.321649i
\(749\) 984593. 798983.i 0.0641286 0.0520395i
\(750\) −4.06416e6 1.78062e7i −0.263826 1.15590i
\(751\) −970988. + 2.47404e6i −0.0628223 + 0.160069i −0.958838 0.283954i \(-0.908354\pi\)
0.896016 + 0.444023i \(0.146449\pi\)
\(752\) 782895. 1.04470e7i 0.0504846 0.673670i
\(753\) −1.63447e7 + 2.83099e7i −1.05049 + 1.81950i
\(754\) −7.04096e6 1.21953e7i −0.451028 0.781204i
\(755\) 1.06018e7 5.10557e6i 0.676882 0.325969i
\(756\) −9.88475e6 + 825379.i −0.629015 + 0.0525229i
\(757\) 4.87239e6 + 2.34642e6i 0.309031 + 0.148822i 0.581971 0.813209i \(-0.302282\pi\)
−0.272940 + 0.962031i \(0.587996\pi\)
\(758\) 1.63791e6 + 2.18563e7i 0.103542 + 1.38167i
\(759\) 7.33321e7 + 2.26200e7i 4.62051 + 1.42524i
\(760\) −1.32067e6 407374.i −0.0829395 0.0255834i