Properties

Label 49.6.g.a.2.2
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-10.0399 - 3.09691i) q^{2} +(9.56163 - 24.3626i) q^{3} +(64.7699 + 44.1593i) q^{4} +(-25.7914 + 3.88743i) q^{5} +(-171.447 + 214.988i) q^{6} +(24.4890 + 127.308i) q^{7} +(-303.901 - 381.080i) q^{8} +(-323.981 - 300.611i) q^{9} +O(q^{10})\) \(q+(-10.0399 - 3.09691i) q^{2} +(9.56163 - 24.3626i) q^{3} +(64.7699 + 44.1593i) q^{4} +(-25.7914 + 3.88743i) q^{5} +(-171.447 + 214.988i) q^{6} +(24.4890 + 127.308i) q^{7} +(-303.901 - 381.080i) q^{8} +(-323.981 - 300.611i) q^{9} +(270.983 + 40.8441i) q^{10} +(-479.395 + 444.813i) q^{11} +(1695.14 - 1155.73i) q^{12} +(195.268 + 855.524i) q^{13} +(148.393 - 1354.00i) q^{14} +(-151.900 + 665.517i) q^{15} +(954.513 + 2432.06i) q^{16} +(59.6303 + 795.711i) q^{17} +(2321.79 + 4021.46i) q^{18} +(702.647 - 1217.02i) q^{19} +(-1842.17 - 887.143i) q^{20} +(3335.71 + 620.655i) q^{21} +(6190.64 - 2981.25i) q^{22} +(68.6855 - 916.545i) q^{23} +(-12189.9 + 3760.09i) q^{24} +(-2336.08 + 720.585i) q^{25} +(689.005 - 9194.13i) q^{26} +(-4691.53 + 2259.32i) q^{27} +(-4035.68 + 9327.13i) q^{28} +(-675.521 - 325.314i) q^{29} +(3586.11 - 6211.32i) q^{30} +(18.1285 + 31.3995i) q^{31} +(-885.784 - 11820.0i) q^{32} +(6253.03 + 15932.5i) q^{33} +(1865.56 - 8173.56i) q^{34} +(-1126.50 - 3188.25i) q^{35} +(-7709.45 - 33777.3i) q^{36} +(132.710 - 90.4798i) q^{37} +(-10823.5 + 10042.8i) q^{38} +(22709.9 + 3422.96i) q^{39} +(9319.46 + 8647.19i) q^{40} +(5242.58 + 6573.99i) q^{41} +(-31568.2 - 16561.7i) q^{42} +(-6768.40 + 8487.31i) q^{43} +(-50693.0 + 7640.74i) q^{44} +(9524.54 + 6493.72i) q^{45} +(-3528.06 + 8989.34i) q^{46} +(-12442.5 - 3838.02i) q^{47} +68378.1 q^{48} +(-15607.6 + 6235.28i) q^{49} +25685.7 q^{50} +(19955.8 + 6155.54i) q^{51} +(-25131.9 + 64035.0i) q^{52} +(-12289.4 - 8378.78i) q^{53} +(54099.6 - 8154.20i) q^{54} +(10635.1 - 13336.0i) q^{55} +(41072.3 - 48021.3i) q^{56} +(-22931.4 - 28755.0i) q^{57} +(5774.72 + 5358.16i) q^{58} +(25821.0 + 3891.89i) q^{59} +(-39227.3 + 36397.6i) q^{60} +(-22954.1 + 15649.8i) q^{61} +(-84.7678 - 371.392i) q^{62} +(30336.1 - 48607.0i) q^{63} +(-9108.24 + 39905.8i) q^{64} +(-8362.01 - 21306.1i) q^{65} +(-13438.6 - 179326. i) q^{66} +(30027.9 + 52009.9i) q^{67} +(-31275.8 + 54171.3i) q^{68} +(-21672.7 - 10437.0i) q^{69} +(1436.32 + 35498.5i) q^{70} +(-17061.3 + 8216.30i) q^{71} +(-16098.4 + 214819. i) q^{72} +(-2025.32 + 624.727i) q^{73} +(-1612.60 + 497.422i) q^{74} +(-4781.38 + 63803.0i) q^{75} +(99253.1 - 47797.8i) q^{76} +(-68368.1 - 50137.7i) q^{77} +(-217405. - 104697. i) q^{78} +(39135.6 - 67784.8i) q^{79} +(-34072.7 - 59015.6i) q^{80} +(2158.57 + 28804.1i) q^{81} +(-32276.2 - 82238.3i) q^{82} +(-17235.4 + 75513.2i) q^{83} +(188646. + 187502. i) q^{84} +(-4631.22 - 20290.7i) q^{85} +(94238.8 - 64250.9i) q^{86} +(-14384.6 + 13346.9i) q^{87} +(315198. + 47508.5i) q^{88} +(33768.4 + 31332.5i) q^{89} +(-75515.3 - 94693.2i) q^{90} +(-104133. + 45810.0i) q^{91} +(44922.8 - 56331.4i) q^{92} +(938.314 - 141.428i) q^{93} +(113036. + 77066.9i) q^{94} +(-13391.2 + 34120.1i) q^{95} +(-296435. - 91438.0i) q^{96} -97393.0 q^{97} +(176009. - 14266.5i) q^{98} +289031. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.0399 3.09691i −1.77483 0.547462i −0.778088 0.628155i \(-0.783810\pi\)
−0.996739 + 0.0806935i \(0.974287\pi\)
\(3\) 9.56163 24.3626i 0.613379 1.56286i −0.199167 0.979966i \(-0.563824\pi\)
0.812545 0.582898i \(-0.198081\pi\)
\(4\) 64.7699 + 44.1593i 2.02406 + 1.37998i
\(5\) −25.7914 + 3.88743i −0.461371 + 0.0695404i −0.375615 0.926776i \(-0.622569\pi\)
−0.0857556 + 0.996316i \(0.527330\pi\)
\(6\) −171.447 + 214.988i −1.94425 + 2.43801i
\(7\) 24.4890 + 127.308i 0.188897 + 0.981997i
\(8\) −303.901 381.080i −1.67883 2.10519i
\(9\) −323.981 300.611i −1.33326 1.23708i
\(10\) 270.983 + 40.8441i 0.856924 + 0.129160i
\(11\) −479.395 + 444.813i −1.19457 + 1.10840i −0.202952 + 0.979189i \(0.565054\pi\)
−0.991617 + 0.129210i \(0.958756\pi\)
\(12\) 1695.14 1155.73i 3.39823 2.31688i
\(13\) 195.268 + 855.524i 0.320459 + 1.40402i 0.836739 + 0.547602i \(0.184459\pi\)
−0.516281 + 0.856420i \(0.672684\pi\)
\(14\) 148.393 1354.00i 0.202346 1.84629i
\(15\) −151.900 + 665.517i −0.174313 + 0.763714i
\(16\) 954.513 + 2432.06i 0.932142 + 2.37506i
\(17\) 59.6303 + 795.711i 0.0500431 + 0.667779i 0.964667 + 0.263473i \(0.0848680\pi\)
−0.914624 + 0.404306i \(0.867513\pi\)
\(18\) 2321.79 + 4021.46i 1.68905 + 2.92551i
\(19\) 702.647 1217.02i 0.446532 0.773417i −0.551625 0.834092i \(-0.685992\pi\)
0.998158 + 0.0606752i \(0.0193254\pi\)
\(20\) −1842.17 887.143i −1.02981 0.495928i
\(21\) 3335.71 + 620.655i 1.65059 + 0.307116i
\(22\) 6190.64 2981.25i 2.72696 1.31323i
\(23\) 68.6855 916.545i 0.0270736 0.361272i −0.967170 0.254130i \(-0.918211\pi\)
0.994244 0.107142i \(-0.0341700\pi\)
\(24\) −12189.9 + 3760.09i −4.31988 + 1.33251i
\(25\) −2336.08 + 720.585i −0.747546 + 0.230587i
\(26\) 689.005 9194.13i 0.199889 2.66733i
\(27\) −4691.53 + 2259.32i −1.23853 + 0.596442i
\(28\) −4035.68 + 9327.13i −0.972797 + 2.24829i
\(29\) −675.521 325.314i −0.149157 0.0718303i 0.357816 0.933792i \(-0.383521\pi\)
−0.506973 + 0.861962i \(0.669236\pi\)
\(30\) 3586.11 6211.32i 0.727479 1.26003i
\(31\) 18.1285 + 31.3995i 0.00338812 + 0.00586839i 0.867714 0.497063i \(-0.165588\pi\)
−0.864326 + 0.502931i \(0.832255\pi\)
\(32\) −885.784 11820.0i −0.152916 2.04052i
\(33\) 6253.03 + 15932.5i 0.999552 + 2.54682i
\(34\) 1865.56 8173.56i 0.276766 1.21259i
\(35\) −1126.50 3188.25i −0.155440 0.439929i
\(36\) −7709.45 33777.3i −0.991442 4.34379i
\(37\) 132.710 90.4798i 0.0159367 0.0108654i −0.555326 0.831633i \(-0.687406\pi\)
0.571262 + 0.820768i \(0.306454\pi\)
\(38\) −10823.5 + 10042.8i −1.21593 + 1.12822i
\(39\) 22709.9 + 3422.96i 2.39086 + 0.360364i
\(40\) 9319.46 + 8647.19i 0.920960 + 0.854526i
\(41\) 5242.58 + 6573.99i 0.487064 + 0.610759i 0.963257 0.268582i \(-0.0865551\pi\)
−0.476193 + 0.879341i \(0.657984\pi\)
\(42\) −31568.2 16561.7i −2.76138 1.44871i
\(43\) −6768.40 + 8487.31i −0.558232 + 0.700001i −0.978230 0.207524i \(-0.933459\pi\)
0.419998 + 0.907525i \(0.362031\pi\)
\(44\) −50693.0 + 7640.74i −3.94745 + 0.594982i
\(45\) 9524.54 + 6493.72i 0.701153 + 0.478038i
\(46\) −3528.06 + 8989.34i −0.245833 + 0.626373i
\(47\) −12442.5 3838.02i −0.821608 0.253432i −0.144677 0.989479i \(-0.546214\pi\)
−0.676931 + 0.736047i \(0.736690\pi\)
\(48\) 68378.1 4.28365
\(49\) −15607.6 + 6235.28i −0.928636 + 0.370993i
\(50\) 25685.7 1.45300
\(51\) 19955.8 + 6155.54i 1.07434 + 0.331391i
\(52\) −25131.9 + 64035.0i −1.28889 + 3.28405i
\(53\) −12289.4 8378.78i −0.600954 0.409724i 0.224272 0.974527i \(-0.428000\pi\)
−0.825226 + 0.564803i \(0.808952\pi\)
\(54\) 54099.6 8154.20i 2.52470 0.380537i
\(55\) 10635.1 13336.0i 0.474061 0.594453i
\(56\) 41072.3 48021.3i 1.75016 2.04627i
\(57\) −22931.4 28755.0i −0.934852 1.17227i
\(58\) 5774.72 + 5358.16i 0.225404 + 0.209144i
\(59\) 25821.0 + 3891.89i 0.965701 + 0.145556i 0.612916 0.790148i \(-0.289996\pi\)
0.352785 + 0.935704i \(0.385235\pi\)
\(60\) −39227.3 + 36397.6i −1.40673 + 1.30525i
\(61\) −22954.1 + 15649.8i −0.789833 + 0.538499i −0.889724 0.456499i \(-0.849103\pi\)
0.0998908 + 0.994998i \(0.468151\pi\)
\(62\) −84.7678 371.392i −0.00280060 0.0122702i
\(63\) 30336.1 48607.0i 0.962962 1.54294i
\(64\) −9108.24 + 39905.8i −0.277961 + 1.21783i
\(65\) −8362.01 21306.1i −0.245486 0.625489i
\(66\) −13438.6 179326.i −0.379747 5.06738i
\(67\) 30027.9 + 52009.9i 0.817219 + 1.41546i 0.907724 + 0.419568i \(0.137818\pi\)
−0.0905054 + 0.995896i \(0.528848\pi\)
\(68\) −31275.8 + 54171.3i −0.820232 + 1.42068i
\(69\) −21672.7 10437.0i −0.548012 0.263909i
\(70\) 1436.32 + 35498.5i 0.0350352 + 0.865895i
\(71\) −17061.3 + 8216.30i −0.401668 + 0.193433i −0.623801 0.781583i \(-0.714412\pi\)
0.222133 + 0.975016i \(0.428698\pi\)
\(72\) −16098.4 + 214819.i −0.365976 + 4.88361i
\(73\) −2025.32 + 624.727i −0.0444821 + 0.0137209i −0.316916 0.948453i \(-0.602647\pi\)
0.272434 + 0.962174i \(0.412171\pi\)
\(74\) −1612.60 + 497.422i −0.0342333 + 0.0105596i
\(75\) −4781.38 + 63803.0i −0.0981521 + 1.30975i
\(76\) 99253.1 47797.8i 1.97111 0.949235i
\(77\) −68368.1 50137.7i −1.31409 0.963690i
\(78\) −217405. 104697.i −4.04607 1.94848i
\(79\) 39135.6 67784.8i 0.705512 1.22198i −0.260995 0.965340i \(-0.584051\pi\)
0.966507 0.256642i \(-0.0826160\pi\)
\(80\) −34072.7 59015.6i −0.595225 1.03096i
\(81\) 2158.57 + 28804.1i 0.0365556 + 0.487801i
\(82\) −32276.2 82238.3i −0.530087 1.35064i
\(83\) −17235.4 + 75513.2i −0.274616 + 1.20317i 0.629881 + 0.776692i \(0.283104\pi\)
−0.904497 + 0.426480i \(0.859753\pi\)
\(84\) 188646. + 187502.i 2.91708 + 2.89940i
\(85\) −4631.22 20290.7i −0.0695261 0.304614i
\(86\) 94238.8 64250.9i 1.37399 0.936770i
\(87\) −14384.6 + 13346.9i −0.203751 + 0.189053i
\(88\) 315198. + 47508.5i 4.33887 + 0.653980i
\(89\) 33768.4 + 31332.5i 0.451893 + 0.419296i 0.873004 0.487714i \(-0.162169\pi\)
−0.421110 + 0.907009i \(0.638359\pi\)
\(90\) −75515.3 94693.2i −0.982717 1.23229i
\(91\) −104133. + 45810.0i −1.31821 + 0.579905i
\(92\) 44922.8 56331.4i 0.553346 0.693874i
\(93\) 938.314 141.428i 0.0112497 0.00169562i
\(94\) 113036. + 77066.9i 1.31947 + 0.899597i
\(95\) −13391.2 + 34120.1i −0.152233 + 0.387884i
\(96\) −296435. 91438.0i −3.28285 1.01263i
\(97\) −97393.0 −1.05099 −0.525495 0.850797i \(-0.676120\pi\)
−0.525495 + 0.850797i \(0.676120\pi\)
\(98\) 176009. 14266.5i 1.85127 0.150056i
\(99\) 289031. 2.96385
\(100\) −183128. 56487.6i −1.83128 0.564876i
\(101\) −12066.6 + 30745.2i −0.117702 + 0.299899i −0.977568 0.210621i \(-0.932452\pi\)
0.859866 + 0.510519i \(0.170547\pi\)
\(102\) −181292. 123602.i −1.72535 1.17632i
\(103\) −80673.6 + 12159.6i −0.749270 + 0.112934i −0.512566 0.858648i \(-0.671305\pi\)
−0.236704 + 0.971582i \(0.576067\pi\)
\(104\) 266681. 334407.i 2.41773 3.03174i
\(105\) −88445.4 3040.23i −0.782892 0.0269112i
\(106\) 97436.6 + 122182.i 0.842282 + 1.05619i
\(107\) −111804. 103739.i −0.944060 0.875960i 0.0483628 0.998830i \(-0.484600\pi\)
−0.992423 + 0.122870i \(0.960790\pi\)
\(108\) −403640. 60838.9i −3.32992 0.501905i
\(109\) 8415.87 7808.78i 0.0678473 0.0629531i −0.645520 0.763743i \(-0.723359\pi\)
0.713368 + 0.700790i \(0.247169\pi\)
\(110\) −148076. + 100956.i −1.16682 + 0.795522i
\(111\) −935.407 4098.29i −0.00720598 0.0315715i
\(112\) −286245. + 181076.i −2.15622 + 1.36400i
\(113\) −49227.1 + 215678.i −0.362667 + 1.58895i 0.383727 + 0.923446i \(0.374640\pi\)
−0.746395 + 0.665503i \(0.768217\pi\)
\(114\) 141178. + 359715.i 1.01743 + 2.59237i
\(115\) 1791.51 + 23906.0i 0.0126320 + 0.168563i
\(116\) −29387.8 50901.1i −0.202778 0.351222i
\(117\) 193917. 335873.i 1.30963 2.26835i
\(118\) −247188. 119040.i −1.63427 0.787021i
\(119\) −99840.0 + 27077.5i −0.646304 + 0.175284i
\(120\) 299778. 144365.i 1.90040 0.915186i
\(121\) 19925.1 265881.i 0.123719 1.65091i
\(122\) 278924. 86036.5i 1.69662 0.523339i
\(123\) 210287. 64865.1i 1.25329 0.386588i
\(124\) −212.401 + 2834.29i −0.00124051 + 0.0165535i
\(125\) 130886. 63031.5i 0.749236 0.360813i
\(126\) −455105. + 394063.i −2.55379 + 2.21126i
\(127\) 299914. + 144431.i 1.65002 + 0.794606i 0.999380 + 0.0352156i \(0.0112118\pi\)
0.650636 + 0.759390i \(0.274503\pi\)
\(128\) 25381.1 43961.4i 0.136926 0.237163i
\(129\) 142056. + 246048.i 0.751598 + 1.30181i
\(130\) 17971.1 + 239808.i 0.0932646 + 1.24453i
\(131\) −17846.9 45473.2i −0.0908625 0.231514i 0.878217 0.478262i \(-0.158733\pi\)
−0.969080 + 0.246748i \(0.920638\pi\)
\(132\) −298559. + 1.30807e6i −1.49140 + 6.53427i
\(133\) 172143. + 59648.9i 0.843842 + 0.292397i
\(134\) −140408. 615170.i −0.675509 2.95960i
\(135\) 112218. 76509.0i 0.529942 0.361308i
\(136\) 285108. 264541.i 1.32179 1.22644i
\(137\) 168603. + 25412.8i 0.767474 + 0.115678i 0.521099 0.853496i \(-0.325522\pi\)
0.246375 + 0.969175i \(0.420760\pi\)
\(138\) 185270. + 171905.i 0.828147 + 0.768408i
\(139\) −203058. 254626.i −0.891420 1.11781i −0.992417 0.122919i \(-0.960774\pi\)
0.100996 0.994887i \(-0.467797\pi\)
\(140\) 67827.4 256248.i 0.292473 1.10495i
\(141\) −212475. + 266435.i −0.900037 + 1.12861i
\(142\) 196740. 29653.8i 0.818788 0.123412i
\(143\) −474158. 323276.i −1.93903 1.32200i
\(144\) 421859. 1.07488e6i 1.69536 4.31970i
\(145\) 18687.3 + 5764.26i 0.0738118 + 0.0227679i
\(146\) 22268.8 0.0864598
\(147\) 2673.82 + 439861.i 0.0102056 + 1.67889i
\(148\) 12591.1 0.0472509
\(149\) 26333.6 + 8122.83i 0.0971727 + 0.0299738i 0.342960 0.939350i \(-0.388570\pi\)
−0.245788 + 0.969324i \(0.579047\pi\)
\(150\) 245597. 625771.i 0.891241 2.27084i
\(151\) −120768. 82338.2i −0.431032 0.293872i 0.328303 0.944572i \(-0.393523\pi\)
−0.759335 + 0.650700i \(0.774476\pi\)
\(152\) −677317. + 102089.i −2.37784 + 0.358402i
\(153\) 219880. 275721.i 0.759377 0.952229i
\(154\) 531139. + 715109.i 1.80471 + 2.42980i
\(155\) −589.624 739.365i −0.00197127 0.00247189i
\(156\) 1.31976e6 + 1.22456e6i 4.34194 + 4.02873i
\(157\) −330187. 49767.7i −1.06908 0.161138i −0.409152 0.912466i \(-0.634176\pi\)
−0.659929 + 0.751328i \(0.729414\pi\)
\(158\) −602842. + 559356.i −1.92115 + 1.78257i
\(159\) −321636. + 219288.i −1.00895 + 0.687893i
\(160\) 68794.9 + 301410.i 0.212450 + 0.930803i
\(161\) 118365. 13701.0i 0.359882 0.0416570i
\(162\) 67531.9 295877.i 0.202172 0.885775i
\(163\) 162217. + 413321.i 0.478218 + 1.21848i 0.942922 + 0.333014i \(0.108066\pi\)
−0.464703 + 0.885466i \(0.653839\pi\)
\(164\) 49258.3 + 657306.i 0.143011 + 1.90835i
\(165\) −223211. 386612.i −0.638271 1.10552i
\(166\) 406900. 704772.i 1.14609 1.98508i
\(167\) 519226. + 250046.i 1.44067 + 0.693791i 0.980948 0.194270i \(-0.0622339\pi\)
0.459724 + 0.888062i \(0.347948\pi\)
\(168\) −777207. 1.45979e6i −2.12453 3.99041i
\(169\) −359268. + 173014.i −0.967613 + 0.465978i
\(170\) −16341.3 + 218060.i −0.0433675 + 0.578700i
\(171\) −593494. + 183069.i −1.55212 + 0.478766i
\(172\) −813182. + 250834.i −2.09588 + 0.646494i
\(173\) 14870.0 198426.i 0.0377743 0.504062i −0.945942 0.324335i \(-0.894859\pi\)
0.983716 0.179727i \(-0.0575215\pi\)
\(174\) 185755. 89454.7i 0.465121 0.223991i
\(175\) −148944. 279755.i −0.367645 0.690530i
\(176\) −1.53940e6 741336.i −3.74602 1.80399i
\(177\) 341707. 591854.i 0.819825 1.41998i
\(178\) −241999. 419155.i −0.572484 0.991572i
\(179\) 10440.5 + 139319.i 0.0243551 + 0.324996i 0.996052 + 0.0887667i \(0.0282925\pi\)
−0.971697 + 0.236229i \(0.924088\pi\)
\(180\) 330145. + 841195.i 0.759491 + 1.93515i
\(181\) 142418. 623973.i 0.323123 1.41569i −0.508839 0.860862i \(-0.669925\pi\)
0.831962 0.554833i \(-0.187218\pi\)
\(182\) 1.18736e6 137439.i 2.65707 0.307561i
\(183\) 161793. + 708859.i 0.357134 + 1.56470i
\(184\) −370151. + 252364.i −0.805998 + 0.549520i
\(185\) −3071.03 + 2849.50i −0.00659713 + 0.00612124i
\(186\) −9858.60 1485.95i −0.0208946 0.00314935i
\(187\) −382529. 354935.i −0.799946 0.742241i
\(188\) −636417. 798042.i −1.31325 1.64676i
\(189\) −402520. 541940.i −0.819658 1.10356i
\(190\) 240114. 301093.i 0.482539 0.605085i
\(191\) −406004. + 61195.2i −0.805279 + 0.121376i −0.538767 0.842455i \(-0.681110\pi\)
−0.266513 + 0.963831i \(0.585871\pi\)
\(192\) 885120. + 603465.i 1.73280 + 1.18141i
\(193\) 130838. 333370.i 0.252837 0.644218i −0.746950 0.664881i \(-0.768482\pi\)
0.999787 + 0.0206628i \(0.00657763\pi\)
\(194\) 977819. + 301617.i 1.86532 + 0.575376i
\(195\) −599026. −1.12813
\(196\) −1.28625e6 285363.i −2.39158 0.530587i
\(197\) 310189. 0.569457 0.284728 0.958608i \(-0.408097\pi\)
0.284728 + 0.958608i \(0.408097\pi\)
\(198\) −2.90185e6 895102.i −5.26032 1.62259i
\(199\) 101701. 259130.i 0.182051 0.463858i −0.810493 0.585749i \(-0.800801\pi\)
0.992543 + 0.121891i \(0.0388958\pi\)
\(200\) 984538. + 671247.i 1.74043 + 1.18661i
\(201\) 1.55421e6 234260.i 2.71344 0.408985i
\(202\) 216363. 271311.i 0.373083 0.467831i
\(203\) 24872.2 93965.7i 0.0423617 0.160040i
\(204\) 1.02071e6 + 1.27993e6i 1.71722 + 2.15333i
\(205\) −160770. 149172.i −0.267189 0.247915i
\(206\) 847615. + 127757.i 1.39165 + 0.209758i
\(207\) −297776. + 276296.i −0.483019 + 0.448176i
\(208\) −1.89430e6 + 1.29151e6i −3.03592 + 2.06986i
\(209\) 204501. + 895979.i 0.323840 + 1.41884i
\(210\) 878571. + 304431.i 1.37476 + 0.476366i
\(211\) 160307. 702349.i 0.247882 1.08604i −0.685758 0.727830i \(-0.740529\pi\)
0.933640 0.358213i \(-0.116614\pi\)
\(212\) −425982. 1.08538e6i −0.650956 1.65861i
\(213\) 37036.7 + 494220.i 0.0559349 + 0.746400i
\(214\) 801238. + 1.38779e6i 1.19599 + 2.07151i
\(215\) 141573. 245211.i 0.208874 0.361780i
\(216\) 2.28674e6 + 1.10124e6i 3.33490 + 1.60600i
\(217\) −3553.46 + 3076.85i −0.00512274 + 0.00443564i
\(218\) −108678. + 52336.5i −0.154882 + 0.0745871i
\(219\) −4145.32 + 55315.4i −0.00584047 + 0.0779356i
\(220\) 1.27774e6 394131.i 1.77986 0.549014i
\(221\) −669106. + 206392.i −0.921540 + 0.284257i
\(222\) −3300.60 + 44043.4i −0.00449480 + 0.0599789i
\(223\) 47115.8 22689.8i 0.0634460 0.0305540i −0.401892 0.915687i \(-0.631647\pi\)
0.465338 + 0.885133i \(0.345933\pi\)
\(224\) 1.48308e6 402226.i 1.97490 0.535612i
\(225\) 973462. + 468795.i 1.28193 + 0.617343i
\(226\) 1.16217e6 2.01294e6i 1.51356 2.62156i
\(227\) 232795. + 403212.i 0.299853 + 0.519361i 0.976102 0.217312i \(-0.0697291\pi\)
−0.676249 + 0.736673i \(0.736396\pi\)
\(228\) −215458. 2.87509e6i −0.274490 3.66281i
\(229\) −200528. 510937.i −0.252689 0.643841i 0.747093 0.664719i \(-0.231449\pi\)
−0.999782 + 0.0208786i \(0.993354\pi\)
\(230\) 56048.1 245563.i 0.0698620 0.306086i
\(231\) −1.87520e6 + 1.18623e6i −2.31215 + 1.46264i
\(232\) 81321.0 + 356291.i 0.0991934 + 0.434595i
\(233\) −281250. + 191753.i −0.339393 + 0.231394i −0.721007 0.692927i \(-0.756321\pi\)
0.381614 + 0.924322i \(0.375368\pi\)
\(234\) −2.98708e6 + 2.77161e6i −3.56621 + 3.30896i
\(235\) 335831. + 50618.3i 0.396689 + 0.0597913i
\(236\) 1.50056e6 + 1.39232e6i 1.75377 + 1.62726i
\(237\) −1.27722e6 1.60158e6i −1.47704 1.85216i
\(238\) 1.08624e6 + 37338.6i 1.24304 + 0.0427283i
\(239\) −485297. + 608543.i −0.549557 + 0.689123i −0.976589 0.215114i \(-0.930988\pi\)
0.427032 + 0.904237i \(0.359559\pi\)
\(240\) −1.76357e6 + 265815.i −1.97635 + 0.297887i
\(241\) 201375. + 137295.i 0.223338 + 0.152269i 0.669821 0.742523i \(-0.266371\pi\)
−0.446482 + 0.894792i \(0.647323\pi\)
\(242\) −1.02346e6 + 2.60773e6i −1.12339 + 2.86236i
\(243\) −486750. 150143.i −0.528799 0.163113i
\(244\) −2.17782e6 −2.34179
\(245\) 378302. 221490.i 0.402646 0.235743i
\(246\) −2.31215e6 −2.43601
\(247\) 1.17839e6 + 363486.i 1.22899 + 0.379093i
\(248\) 6456.46 16450.8i 0.00666600 0.0169847i
\(249\) 1.67490e6 + 1.14193e6i 1.71195 + 1.16719i
\(250\) −1.50929e6 + 227489.i −1.52730 + 0.230203i
\(251\) 300956. 377387.i 0.301522 0.378096i −0.607870 0.794036i \(-0.707976\pi\)
0.909392 + 0.415940i \(0.136547\pi\)
\(252\) 4.11132e6 1.80865e6i 4.07831 1.79412i
\(253\) 374764. + 469939.i 0.368092 + 0.461573i
\(254\) −2.56383e6 2.37889e6i −2.49348 2.31361i
\(255\) −538617. 81183.4i −0.518716 0.0781838i
\(256\) 569200. 528141.i 0.542832 0.503674i
\(257\) 715159. 487587.i 0.675414 0.460489i −0.176411 0.984317i \(-0.556449\pi\)
0.851824 + 0.523827i \(0.175496\pi\)
\(258\) −664245. 2.91025e6i −0.621268 2.72195i
\(259\) 14768.7 + 14679.2i 0.0136802 + 0.0135973i
\(260\) 399255. 1.74925e6i 0.366284 1.60479i
\(261\) 121063. + 308464.i 0.110005 + 0.280288i
\(262\) 38355.5 + 511818.i 0.0345202 + 0.460641i
\(263\) 982401. + 1.70157e6i 0.875789 + 1.51691i 0.855920 + 0.517108i \(0.172992\pi\)
0.0198689 + 0.999803i \(0.493675\pi\)
\(264\) 4.17124e6 7.22479e6i 3.68345 6.37993i
\(265\) 349533. + 168326.i 0.305755 + 0.147244i
\(266\) −1.54358e6 1.13198e6i −1.33760 0.980926i
\(267\) 1.08622e6 523098.i 0.932484 0.449061i
\(268\) −351818. + 4.69469e6i −0.299213 + 3.99273i
\(269\) −746755. + 230343.i −0.629212 + 0.194086i −0.592928 0.805255i \(-0.702028\pi\)
−0.0362840 + 0.999342i \(0.511552\pi\)
\(270\) −1.36360e6 + 420616.i −1.13836 + 0.351137i
\(271\) −129593. + 1.72929e6i −0.107191 + 1.43036i 0.641338 + 0.767258i \(0.278379\pi\)
−0.748529 + 0.663102i \(0.769240\pi\)
\(272\) −1.87830e6 + 904541.i −1.53937 + 0.741321i
\(273\) 120371. + 2.97497e6i 0.0977499 + 2.41588i
\(274\) −1.61406e6 777291.i −1.29880 0.625471i
\(275\) 799379. 1.38456e6i 0.637413 1.10403i
\(276\) −942846. 1.63306e6i −0.745020 1.29041i
\(277\) −95246.0 1.27097e6i −0.0745843 0.995258i −0.901457 0.432869i \(-0.857501\pi\)
0.826873 0.562389i \(-0.190118\pi\)
\(278\) 1.25013e6 + 3.18528e6i 0.970161 + 2.47193i
\(279\) 3565.73 15622.5i 0.00274245 0.0120155i
\(280\) −872632. + 1.39820e6i −0.665175 + 1.06580i
\(281\) −455803. 1.99700e6i −0.344359 1.50873i −0.789767 0.613407i \(-0.789799\pi\)
0.445408 0.895328i \(-0.353059\pi\)
\(282\) 2.95836e6 2.01698e6i 2.21528 1.51035i
\(283\) 1.21946e6 1.13150e6i 0.905112 0.839821i −0.0825234 0.996589i \(-0.526298\pi\)
0.987635 + 0.156768i \(0.0501074\pi\)
\(284\) −1.46789e6 221248.i −1.07993 0.162774i
\(285\) 703215. + 652488.i 0.512833 + 0.475839i
\(286\) 3.75937e6 + 4.71410e6i 2.71769 + 3.40787i
\(287\) −708536. + 828412.i −0.507758 + 0.593666i
\(288\) −3.26623e6 + 4.09572e6i −2.32041 + 2.90971i
\(289\) 774398. 116722.i 0.545406 0.0822067i
\(290\) −169768. 115746.i −0.118539 0.0808183i
\(291\) −931235. + 2.37275e6i −0.644654 + 1.64255i
\(292\) −158767. 48973.1i −0.108969 0.0336125i
\(293\) −1.70658e6 −1.16134 −0.580668 0.814140i \(-0.697209\pi\)
−0.580668 + 0.814140i \(0.697209\pi\)
\(294\) 1.33537e6 4.42446e6i 0.901015 2.98533i
\(295\) −681089. −0.455668
\(296\) −74810.6 23076.0i −0.0496288 0.0153085i
\(297\) 1.24412e6 3.16996e6i 0.818409 2.08527i
\(298\) −239232. 163105.i −0.156055 0.106397i
\(299\) 797538. 120209.i 0.515909 0.0777608i
\(300\) −3.12719e6 + 3.92137e6i −2.00609 + 2.51556i
\(301\) −1.24625e6 653825.i −0.792847 0.415954i
\(302\) 957508. + 1.20068e6i 0.604123 + 0.757546i
\(303\) 633658. + 587949.i 0.396505 + 0.367903i
\(304\) 3.63055e6 + 547218.i 2.25314 + 0.339607i
\(305\) 531180. 492863.i 0.326958 0.303373i
\(306\) −3.06147e6 + 2.08727e6i −1.86907 + 1.27431i
\(307\) −3306.07 14484.9i −0.00200201 0.00877138i 0.973917 0.226904i \(-0.0728605\pi\)
−0.975919 + 0.218133i \(0.930003\pi\)
\(308\) −2.21414e6 6.26650e6i −1.32993 3.76399i
\(309\) −475131. + 2.08169e6i −0.283085 + 1.24028i
\(310\) 3630.04 + 9249.19i 0.00214539 + 0.00546638i
\(311\) 173391. + 2.31374e6i 0.101654 + 1.35648i 0.781856 + 0.623459i \(0.214273\pi\)
−0.680202 + 0.733025i \(0.738108\pi\)
\(312\) −5.59714e6 9.69453e6i −3.25521 5.63819i
\(313\) −259057. + 448701.i −0.149463 + 0.258878i −0.931029 0.364944i \(-0.881088\pi\)
0.781566 + 0.623823i \(0.214421\pi\)
\(314\) 3.16093e6 + 1.52222e6i 1.80922 + 0.871273i
\(315\) −593455. + 1.37157e6i −0.336986 + 0.778830i
\(316\) 5.52814e6 2.66221e6i 3.11431 1.49977i
\(317\) 78461.2 1.04699e6i 0.0438537 0.585187i −0.931385 0.364035i \(-0.881399\pi\)
0.975239 0.221153i \(-0.0709820\pi\)
\(318\) 3.90832e6 1.20556e6i 2.16731 0.668528i
\(319\) 468545. 144527.i 0.257795 0.0795192i
\(320\) 79783.3 1.06463e6i 0.0435549 0.581200i
\(321\) −3.59640e6 + 1.73193e6i −1.94807 + 0.938142i
\(322\) −1.23081e6 229010.i −0.661534 0.123088i
\(323\) 1.01030e6 + 486532.i 0.538818 + 0.259481i
\(324\) −1.13216e6 + 1.96096e6i −0.599164 + 1.03778i
\(325\) −1.07264e6 1.85787e6i −0.563307 0.975676i
\(326\) −348626. 4.65209e6i −0.181684 2.42440i
\(327\) −109773. 279697.i −0.0567710 0.144650i
\(328\) 911990. 3.99569e6i 0.468064 2.05072i
\(329\) 183905. 1.67802e6i 0.0936705 0.854689i
\(330\) 1.04372e6 + 4.57282e6i 0.527592 + 2.31153i
\(331\) −2.13745e6 + 1.45729e6i −1.07233 + 0.731099i −0.964769 0.263100i \(-0.915255\pi\)
−0.107557 + 0.994199i \(0.534303\pi\)
\(332\) −4.45095e6 + 4.12988e6i −2.21619 + 2.05633i
\(333\) −70194.6 10580.1i −0.0346891 0.00522854i
\(334\) −4.43863e6 4.11844e6i −2.17712 2.02007i
\(335\) −976647. 1.22468e6i −0.475473 0.596224i
\(336\) 1.67451e6 + 8.70507e6i 0.809169 + 4.20653i
\(337\) −189319. + 237399.i −0.0908072 + 0.113869i −0.825159 0.564900i \(-0.808915\pi\)
0.734352 + 0.678769i \(0.237486\pi\)
\(338\) 4.14284e6 624432.i 1.97245 0.297299i
\(339\) 4.78380e6 + 3.26154e6i 2.26086 + 1.54143i
\(340\) 596060. 1.51874e6i 0.279636 0.712501i
\(341\) −22657.7 6988.96i −0.0105519 0.00325482i
\(342\) 6.52559e6 3.01685
\(343\) −1.17601e6 1.83427e6i −0.539730 0.841838i
\(344\) 5.29127e6 2.41081
\(345\) 599542. + 184934.i 0.271189 + 0.0836508i
\(346\) −763803. + 1.94614e6i −0.342998 + 0.873944i
\(347\) −659469. 449618.i −0.294016 0.200457i 0.407324 0.913284i \(-0.366462\pi\)
−0.701340 + 0.712827i \(0.747414\pi\)
\(348\) −1.52108e6 + 229266.i −0.673292 + 0.101482i
\(349\) 1.17909e6 1.47854e6i 0.518185 0.649783i −0.452038 0.891999i \(-0.649303\pi\)
0.970222 + 0.242216i \(0.0778742\pi\)
\(350\) 629016. + 3.26999e6i 0.274468 + 1.42684i
\(351\) −2.84901e6 3.57254e6i −1.23431 1.54778i
\(352\) 5.68231e6 + 5.27242e6i 2.44438 + 2.26805i
\(353\) −4.56795e6 688508.i −1.95112 0.294085i −0.951229 0.308487i \(-0.900177\pi\)
−0.999896 + 0.0144024i \(0.995415\pi\)
\(354\) −5.26364e6 + 4.88394e6i −2.23243 + 2.07139i
\(355\) 408095. 278235.i 0.171866 0.117176i
\(356\) 803553. + 3.52060e6i 0.336039 + 1.47228i
\(357\) −294952. + 2.69127e6i −0.122485 + 1.11760i
\(358\) 326636. 1.43109e6i 0.134697 0.590145i
\(359\) 706641. + 1.80049e6i 0.289376 + 0.737318i 0.999449 + 0.0331900i \(0.0105666\pi\)
−0.710073 + 0.704128i \(0.751338\pi\)
\(360\) −419891. 5.60306e6i −0.170758 2.27860i
\(361\) 250624. + 434094.i 0.101217 + 0.175314i
\(362\) −3.36226e6 + 5.82360e6i −1.34853 + 2.33572i
\(363\) −6.28705e6 3.02769e6i −2.50427 1.20599i
\(364\) −8.76762e6 1.63134e6i −3.46839 0.645342i
\(365\) 49807.2 23985.9i 0.0195686 0.00942374i
\(366\) 570887. 7.61796e6i 0.222765 2.97260i
\(367\) 2.26141e6 697553.i 0.876424 0.270341i 0.176278 0.984340i \(-0.443594\pi\)
0.700146 + 0.714000i \(0.253118\pi\)
\(368\) 2.29465e6 707807.i 0.883278 0.272455i
\(369\) 277713. 3.70583e6i 0.106177 1.41684i
\(370\) 39657.6 19098.1i 0.0150599 0.00725247i
\(371\) 765729. 1.76973e6i 0.288829 0.667531i
\(372\) 67019.8 + 32275.0i 0.0251100 + 0.0120923i
\(373\) −126343. + 218833.i −0.0470197 + 0.0814404i −0.888577 0.458727i \(-0.848306\pi\)
0.841558 + 0.540167i \(0.181639\pi\)
\(374\) 2.74137e6 + 4.74819e6i 1.01342 + 1.75529i
\(375\) −284127. 3.79142e6i −0.104336 1.39227i
\(376\) 2.31871e6 + 5.90798e6i 0.845818 + 2.15511i
\(377\) 146406. 641447.i 0.0530525 0.232438i
\(378\) 2.36294e6 + 6.68761e6i 0.850594 + 2.40736i
\(379\) 830597. + 3.63908e6i 0.297024 + 1.30135i 0.874534 + 0.484965i \(0.161168\pi\)
−0.577509 + 0.816384i \(0.695975\pi\)
\(380\) −2.37407e6 + 1.61861e6i −0.843401 + 0.575021i
\(381\) 6.38639e6 5.92571e6i 2.25394 2.09135i
\(382\) 4.26577e6 + 642961.i 1.49568 + 0.225438i
\(383\) −1.59838e6 1.48308e6i −0.556778 0.516615i 0.350827 0.936440i \(-0.385901\pi\)
−0.907605 + 0.419826i \(0.862091\pi\)
\(384\) −828330. 1.03869e6i −0.286666 0.359467i
\(385\) 1.95822e6 + 1.02735e6i 0.673300 + 0.353236i
\(386\) −2.34602e6 + 2.94182e6i −0.801426 + 1.00496i
\(387\) 4.74421e6 715075.i 1.61023 0.242702i
\(388\) −6.30813e6 4.30081e6i −2.12726 1.45034i
\(389\) 1.58481e6 4.03803e6i 0.531011 1.35299i −0.373930 0.927457i \(-0.621990\pi\)
0.904941 0.425537i \(-0.139915\pi\)
\(390\) 6.01419e6 + 1.85513e6i 2.00224 + 0.617608i
\(391\) 733401. 0.242605
\(392\) 7.11930e6 + 4.05283e6i 2.34003 + 1.33212i
\(393\) −1.27849e6 −0.417558
\(394\) −3.11428e6 960628.i −1.01069 0.311756i
\(395\) −745853. + 1.90040e6i −0.240525 + 0.612848i
\(396\) 1.87205e7 + 1.27634e7i 5.99900 + 4.09005i
\(397\) 785781. 118437.i 0.250222 0.0377149i −0.0227336 0.999742i \(-0.507237\pi\)
0.272955 + 0.962027i \(0.411999\pi\)
\(398\) −1.82357e6 + 2.28669e6i −0.577053 + 0.723601i
\(399\) 3.09917e6 3.62352e6i 0.974572 1.13946i
\(400\) −3.98233e6 4.99368e6i −1.24448 1.56053i
\(401\) 609647. + 565670.i 0.189329 + 0.175672i 0.769142 0.639078i \(-0.220684\pi\)
−0.579813 + 0.814750i \(0.696874\pi\)
\(402\) −1.63297e7 2.46130e6i −5.03979 0.759627i
\(403\) −23323.1 + 21640.7i −0.00715360 + 0.00663757i
\(404\) −2.13924e6 + 1.45851e6i −0.652089 + 0.444586i
\(405\) −167647. 734508.i −0.0507875 0.222515i
\(406\) −540719. + 866383.i −0.162801 + 0.260852i
\(407\) −23373.6 + 102406.i −0.00699423 + 0.0306437i
\(408\) −3.71883e6 9.47542e6i −1.10600 2.81805i
\(409\) −129925. 1.73373e6i −0.0384048 0.512476i −0.982923 0.184017i \(-0.941090\pi\)
0.944518 0.328459i \(-0.106529\pi\)
\(410\) 1.15214e6 + 1.99557e6i 0.338491 + 0.586283i
\(411\) 2.23124e6 3.86462e6i 0.651541 1.12850i
\(412\) −5.76218e6 2.77492e6i −1.67241 0.805392i
\(413\) 136861. + 3.38252e6i 0.0394826 + 0.975811i
\(414\) 3.84532e6 1.85181e6i 1.10263 0.531000i
\(415\) 150973. 2.01459e6i 0.0430307 0.574205i
\(416\) 9.93929e6 3.06587e6i 2.81593 0.868600i
\(417\) −8.14493e6 + 2.51238e6i −2.29376 + 0.707530i
\(418\) 721586. 9.62890e6i 0.201998 2.69548i
\(419\) −362931. + 174778.i −0.100993 + 0.0486354i −0.483698 0.875235i \(-0.660707\pi\)
0.382705 + 0.923870i \(0.374992\pi\)
\(420\) −5.59434e6 4.10260e6i −1.54748 1.13484i
\(421\) −4.83551e6 2.32866e6i −1.32965 0.640325i −0.371991 0.928236i \(-0.621325\pi\)
−0.957657 + 0.287911i \(0.907039\pi\)
\(422\) −3.78458e6 + 6.55509e6i −1.03451 + 1.79183i
\(423\) 2.87740e6 + 4.98381e6i 0.781897 + 1.35429i
\(424\) 541781. + 7.22957e6i 0.146356 + 1.95298i
\(425\) −712679. 1.81588e6i −0.191391 0.487656i
\(426\) 1.15871e6 5.07664e6i 0.309350 1.35535i
\(427\) −2.55447e6 2.53899e6i −0.678001 0.673893i
\(428\) −2.66050e6 1.16564e7i −0.702026 3.07578i
\(429\) −1.24096e7 + 8.46070e6i −3.25547 + 2.21954i
\(430\) −2.18078e6 + 2.02347e6i −0.568775 + 0.527746i
\(431\) 4.46438e6 + 672898.i 1.15763 + 0.174484i 0.699654 0.714482i \(-0.253338\pi\)
0.457973 + 0.888966i \(0.348576\pi\)
\(432\) −9.97293e6 9.25352e6i −2.57107 2.38560i
\(433\) 4.63146e6 + 5.80766e6i 1.18713 + 1.48861i 0.832873 + 0.553464i \(0.186694\pi\)
0.354256 + 0.935148i \(0.384734\pi\)
\(434\) 45205.2 19886.6i 0.0115203 0.00506800i
\(435\) 319113. 400155.i 0.0808577 0.101392i
\(436\) 889925. 134135.i 0.224201 0.0337928i
\(437\) −1.06719e6 727599.i −0.267325 0.182259i
\(438\) 212926. 542526.i 0.0530326 0.135125i
\(439\) −2.82975e6 872861.i −0.700787 0.216164i −0.0761693 0.997095i \(-0.524269\pi\)
−0.624618 + 0.780931i \(0.714745\pi\)
\(440\) −8.31408e6 −2.04731
\(441\) 6.93096e6 + 2.67169e6i 1.69706 + 0.654169i
\(442\) 7.35696e6 1.79119
\(443\) 5.55949e6 + 1.71488e6i 1.34594 + 0.415167i 0.882229 0.470820i \(-0.156042\pi\)
0.463710 + 0.885987i \(0.346518\pi\)
\(444\) 120391. 306752.i 0.0289827 0.0738466i
\(445\) −992739. 676838.i −0.237648 0.162026i
\(446\) −543308. + 81890.5i −0.129333 + 0.0194938i
\(447\) 449685. 563888.i 0.106449 0.133482i
\(448\) −5.30337e6 182299.i −1.24841 0.0429129i
\(449\) 2.01244e6 + 2.52352e6i 0.471093 + 0.590732i 0.959438 0.281918i \(-0.0909708\pi\)
−0.488345 + 0.872650i \(0.662399\pi\)
\(450\) −8.32169e6 7.72140e6i −1.93723 1.79748i
\(451\) −5.43747e6 819566.i −1.25880 0.189733i
\(452\) −1.27126e7 + 1.17956e7i −2.92678 + 2.71565i
\(453\) −3.16071e6 + 2.15494e6i −0.723668 + 0.493389i
\(454\) −1.08853e6 4.76917e6i −0.247857 1.08593i
\(455\) 2.50765e6 1.58631e6i 0.567857 0.359220i
\(456\) −3.98909e6 + 1.74774e7i −0.898384 + 3.93608i
\(457\) 1.94271e6 + 4.94994e6i 0.435128 + 1.10869i 0.965380 + 0.260848i \(0.0840022\pi\)
−0.530252 + 0.847840i \(0.677903\pi\)
\(458\) 430962. + 5.75079e6i 0.0960009 + 1.28104i
\(459\) −2.07752e6 3.59838e6i −0.460272 0.797214i
\(460\) −939637. + 1.62750e6i −0.207045 + 0.358613i
\(461\) 1.25006e6 + 601998.i 0.273955 + 0.131930i 0.565817 0.824531i \(-0.308561\pi\)
−0.291863 + 0.956460i \(0.594275\pi\)
\(462\) 2.25005e7 6.10235e6i 4.90441 1.33012i
\(463\) 1.42058e6 684118.i 0.307974 0.148313i −0.273512 0.961868i \(-0.588185\pi\)
0.581487 + 0.813556i \(0.302471\pi\)
\(464\) 146389. 1.95342e6i 0.0315655 0.421213i
\(465\) −23650.6 + 7295.26i −0.00507237 + 0.00156462i
\(466\) 3.41758e6 1.05418e6i 0.729043 0.224880i
\(467\) −345707. + 4.61315e6i −0.0733528 + 0.978825i 0.832168 + 0.554523i \(0.187099\pi\)
−0.905521 + 0.424301i \(0.860520\pi\)
\(468\) 2.73919e7 1.31912e7i 5.78106 2.78401i
\(469\) −5.88591e6 + 5.09646e6i −1.23561 + 1.06988i
\(470\) −3.21496e6 1.54824e6i −0.671322 0.323291i
\(471\) −4.36960e6 + 7.56836e6i −0.907589 + 1.57199i
\(472\) −6.36391e6 1.10226e7i −1.31483 2.27735i
\(473\) −530531. 7.07944e6i −0.109033 1.45494i
\(474\) 7.86323e6 + 2.00352e7i 1.60752 + 4.09588i
\(475\) −764473. + 3.34937e6i −0.155463 + 0.681129i
\(476\) −7.66235e6 2.65506e6i −1.55005 0.537102i
\(477\) 1.46279e6 + 6.40890e6i 0.294365 + 1.28970i
\(478\) 6.75696e6 4.60682e6i 1.35264 0.922213i
\(479\) 3.11694e6 2.89210e6i 0.620712 0.575937i −0.305849 0.952080i \(-0.598940\pi\)
0.926562 + 0.376143i \(0.122750\pi\)
\(480\) 8.00093e6 + 1.20595e6i 1.58503 + 0.238905i
\(481\) 103322. + 95868.4i 0.0203624 + 0.0188935i
\(482\) −1.59660e6 2.00208e6i −0.313025 0.392521i
\(483\) 797973. 3.01470e6i 0.155640 0.587998i
\(484\) 1.30317e7 1.63412e7i 2.52864 3.17082i
\(485\) 2.51190e6 378608.i 0.484896 0.0730863i
\(486\) 4.42196e6 + 3.01484e6i 0.849228 + 0.578994i
\(487\) −1.14982e6 + 2.92970e6i −0.219689 + 0.559759i −0.997647 0.0685576i \(-0.978160\pi\)
0.777958 + 0.628316i \(0.216256\pi\)
\(488\) 1.29396e7 + 3.99134e6i 2.45964 + 0.758698i
\(489\) 1.16206e7 2.19765
\(490\) −4.48407e6 + 1.05218e6i −0.843688 + 0.197969i
\(491\) −2.26838e6 −0.424632 −0.212316 0.977201i \(-0.568101\pi\)
−0.212316 + 0.977201i \(0.568101\pi\)
\(492\) 1.64847e7 + 5.08485e6i 3.07021 + 0.947034i
\(493\) 218574. 556918.i 0.0405025 0.103199i
\(494\) −1.07053e7 7.29876e6i −1.97370 1.34565i
\(495\) −7.45450e6 + 1.12359e6i −1.36743 + 0.206107i
\(496\) −59061.7 + 74061.0i −0.0107796 + 0.0135172i
\(497\) −1.46381e6 1.97083e6i −0.265825 0.357898i
\(498\) −1.32795e7 1.66519e7i −2.39943 3.00878i
\(499\) −6.08901e6 5.64978e6i −1.09470 1.01573i −0.999795 0.0202477i \(-0.993555\pi\)
−0.0949058 0.995486i \(-0.530255\pi\)
\(500\) 1.12609e7 + 1.69731e6i 2.01441 + 0.303624i
\(501\) 1.10564e7 1.02589e7i 1.96798 1.82602i
\(502\) −4.19031e6 + 2.85690e6i −0.742142 + 0.505984i
\(503\) 1.65063e6 + 7.23188e6i 0.290891 + 1.27447i 0.883289 + 0.468830i \(0.155324\pi\)
−0.592398 + 0.805645i \(0.701819\pi\)
\(504\) −2.77424e7 + 3.21123e6i −4.86482 + 0.563113i
\(505\) 191695. 839871.i 0.0334489 0.146549i
\(506\) −2.30725e6 5.87877e6i −0.400606 1.02073i
\(507\) 779897. + 1.04070e7i 0.134747 + 1.79807i
\(508\) 1.30474e7 + 2.25988e7i 2.24319 + 3.88532i
\(509\) 3.71761e6 6.43908e6i 0.636017 1.10161i −0.350281 0.936645i \(-0.613914\pi\)
0.986299 0.164970i \(-0.0527526\pi\)
\(510\) 5.15626e6 + 2.48312e6i 0.877828 + 0.422740i
\(511\) −129131. 242540.i −0.0218765 0.0410895i
\(512\) −8.81387e6 + 4.24454e6i −1.48591 + 0.715575i
\(513\) −546848. + 7.29719e6i −0.0917431 + 1.22423i
\(514\) −8.69017e6 + 2.68056e6i −1.45084 + 0.447526i
\(515\) 2.03342e6 627226.i 0.337838 0.104209i
\(516\) −1.66438e6 + 2.22096e7i −0.275188 + 3.67212i
\(517\) 7.67209e6 3.69468e6i 1.26237 0.607926i
\(518\) −102817. 193116.i −0.0168360 0.0316223i
\(519\) −4.69201e6 2.25955e6i −0.764611 0.368217i
\(520\) −5.57809e6 + 9.66154e6i −0.904643 + 1.56689i
\(521\) 839250. + 1.45362e6i 0.135456 + 0.234616i 0.925771 0.378084i \(-0.123417\pi\)
−0.790316 + 0.612700i \(0.790084\pi\)
\(522\) −260182. 3.47189e6i −0.0417927 0.557685i
\(523\) −99730.4 254109.i −0.0159431 0.0406224i 0.922681 0.385565i \(-0.125994\pi\)
−0.938624 + 0.344943i \(0.887898\pi\)
\(524\) 852124. 3.73340e6i 0.135573 0.593986i
\(525\) −8.23972e6 + 953763.i −1.30471 + 0.151023i
\(526\) −4.59364e6 2.01261e7i −0.723923 3.17172i
\(527\) −23904.0 + 16297.4i −0.00374924 + 0.00255619i
\(528\) −3.27801e7 + 3.04155e7i −5.11712 + 4.74799i
\(529\) 5.52912e6 + 833380.i 0.859046 + 0.129480i
\(530\) −2.98800e6 2.77246e6i −0.462052 0.428721i
\(531\) −7.19558e6 9.02297e6i −1.10746 1.38871i
\(532\) 8.51564e6 + 1.14652e7i 1.30448 + 1.75631i
\(533\) −4.60050e6 + 5.76884e6i −0.701434 + 0.879571i
\(534\) −1.25256e7 + 1.88793e6i −1.90084 + 0.286506i
\(535\) 3.28687e6 + 2.24095e6i 0.496476 + 0.338492i
\(536\) 1.06944e7 2.72489e7i 1.60785 4.09673i
\(537\) 3.49401e6 + 1.07776e6i 0.522863 + 0.161282i
\(538\) 8.21072e6 1.22300
\(539\) 4.70866e6 9.93162e6i 0.698112 1.47248i
\(540\) 1.06469e7 1.57123
\(541\) −289299. 89236.9i −0.0424965 0.0131084i 0.273434 0.961891i \(-0.411840\pi\)
−0.315931 + 0.948782i \(0.602317\pi\)
\(542\) 6.65657e6 1.69607e7i 0.973312 2.47996i
\(543\) −1.38399e7 9.43587e6i −2.01434 1.37335i
\(544\) 9.35245e6 1.40966e6i 1.35497 0.204228i
\(545\) −186701. + 234116.i −0.0269250 + 0.0337628i
\(546\) 8.00470e6 3.02413e7i 1.14911 4.34129i
\(547\) 7.16810e6 + 8.98851e6i 1.02432 + 1.28446i 0.958033 + 0.286656i \(0.0925438\pi\)
0.0662869 + 0.997801i \(0.478885\pi\)
\(548\) 9.79817e6 + 9.09138e6i 1.39378 + 1.29324i
\(549\) 1.21412e7 + 1.82999e6i 1.71922 + 0.259130i
\(550\) −1.23136e7 + 1.14253e7i −1.73571 + 1.61051i
\(551\) −870566. + 593542.i −0.122158 + 0.0832861i
\(552\) 2.60902e6 + 1.14309e7i 0.364443 + 1.59673i
\(553\) 9.58793e6 + 3.32229e6i 1.33325 + 0.461981i
\(554\) −2.97982e6 + 1.30554e7i −0.412491 + 1.80724i
\(555\) 40057.3 + 102064.i 0.00552012 + 0.0140650i
\(556\) −1.90789e6 2.54590e7i −0.261738 3.49265i
\(557\) −982372. 1.70152e6i −0.134165 0.232380i 0.791113 0.611669i \(-0.209502\pi\)
−0.925278 + 0.379290i \(0.876168\pi\)
\(558\) −84181.2 + 145806.i −0.0114454 + 0.0198240i
\(559\) −8.58274e6 4.13323e6i −1.16171 0.559448i
\(560\) 6.67875e6 5.78295e6i 0.899964 0.779255i
\(561\) −1.23048e7 + 5.92566e6i −1.65069 + 0.794931i
\(562\) −1.60831e6 + 2.14614e7i −0.214797 + 2.86627i
\(563\) 6.81774e6 2.10299e6i 0.906503 0.279619i 0.193764 0.981048i \(-0.437931\pi\)
0.712739 + 0.701429i \(0.247454\pi\)
\(564\) −2.55276e7 + 7.87422e6i −3.37919 + 1.04234i
\(565\) 431204. 5.75401e6i 0.0568278 0.758315i
\(566\) −1.57475e7 + 7.58358e6i −2.06619 + 0.995023i
\(567\) −3.61413e6 + 980187.i −0.472113 + 0.128042i
\(568\) 8.31603e6 + 4.00479e6i 1.08155 + 0.520845i
\(569\) 4.51726e6 7.82413e6i 0.584918 1.01311i −0.409968 0.912100i \(-0.634460\pi\)
0.994886 0.101007i \(-0.0322065\pi\)
\(570\) −5.03954e6 8.72873e6i −0.649686 1.12529i
\(571\) 558343. + 7.45057e6i 0.0716656 + 0.956311i 0.910923 + 0.412577i \(0.135371\pi\)
−0.839257 + 0.543735i \(0.817010\pi\)
\(572\) −1.64355e7 4.18771e7i −2.10036 5.35163i
\(573\) −2.39118e6 + 1.04764e7i −0.304246 + 1.33299i
\(574\) 9.67917e6 6.12294e6i 1.22619 0.775676i
\(575\) 499994. + 2.19062e6i 0.0630660 + 0.276310i
\(576\) 1.49470e7 1.01907e7i 1.87715 1.27982i
\(577\) −7.10958e6 + 6.59673e6i −0.889006 + 0.824877i −0.985363 0.170470i \(-0.945471\pi\)
0.0963570 + 0.995347i \(0.469281\pi\)
\(578\) −8.13639e6 1.22636e6i −1.01301 0.152686i
\(579\) −6.87074e6 6.37511e6i −0.851740 0.790299i
\(580\) 955826. + 1.19857e6i 0.117980 + 0.147942i
\(581\) −1.00355e7 344961.i −1.23339 0.0423965i
\(582\) 1.66977e7 2.09383e7i 2.04338 2.56232i
\(583\) 9.61847e6 1.44975e6i 1.17202 0.176653i
\(584\) 853567. + 581952.i 0.103563 + 0.0706082i
\(585\) −3.69570e6 + 9.41648e6i −0.446485 + 1.13762i
\(586\) 1.71340e7 + 5.28513e6i 2.06117 + 0.635787i
\(587\) −4.97044e6 −0.595388 −0.297694 0.954661i \(-0.596217\pi\)
−0.297694 + 0.954661i \(0.596217\pi\)
\(588\) −1.92508e7 + 2.86078e7i −2.29618 + 3.41225i
\(589\) 50951.8 0.00605162
\(590\) 6.83809e6 + 2.10927e6i 0.808732 + 0.249461i
\(591\) 2.96591e6 7.55702e6i 0.349293 0.889983i
\(592\) 346725. + 236393.i 0.0406613 + 0.0277224i
\(593\) −71637.1 + 10797.6i −0.00836568 + 0.00126092i −0.153224 0.988192i \(-0.548966\pi\)
0.144858 + 0.989452i \(0.453727\pi\)
\(594\) −2.23079e7 + 2.79733e7i −2.59414 + 3.25295i
\(595\) 2.46975e6 1.08649e6i 0.285997 0.125815i
\(596\) 1.34692e6 + 1.68899e6i 0.155320 + 0.194765i
\(597\) −5.34066e6 4.95541e6i −0.613280 0.569041i
\(598\) −8.37951e6 1.26301e6i −0.958221 0.144429i
\(599\) 6.07234e6 5.63431e6i 0.691495 0.641614i −0.254017 0.967200i \(-0.581752\pi\)
0.945513 + 0.325586i \(0.105561\pi\)
\(600\) 2.57671e7 1.75677e7i 2.92205 1.99222i
\(601\) 2.08639e6 + 9.14109e6i 0.235619 + 1.03231i 0.944892 + 0.327381i \(0.106166\pi\)
−0.709273 + 0.704933i \(0.750977\pi\)
\(602\) 1.04875e7 + 1.04239e7i 1.17945 + 1.17230i
\(603\) 5.90624e6 2.58769e7i 0.661482 2.89814i
\(604\) −4.18612e6 1.06661e7i −0.466895 1.18963i
\(605\) 519700. + 6.93491e6i 0.0577250 + 0.770287i
\(606\) −4.54106e6 7.86535e6i −0.502315 0.870035i
\(607\) −6.13755e6 + 1.06305e7i −0.676119 + 1.17107i 0.300021 + 0.953932i \(0.403006\pi\)
−0.976140 + 0.217140i \(0.930327\pi\)
\(608\) −1.50075e7 7.22724e6i −1.64646 0.792891i
\(609\) −2.05143e6 1.50442e6i −0.224137 0.164371i
\(610\) −6.85937e6 + 3.30330e6i −0.746379 + 0.359437i
\(611\) 853887. 1.13943e7i 0.0925331 1.23477i
\(612\) 2.64173e7 8.14865e6i 2.85108 0.879442i
\(613\) 9.91402e6 3.05807e6i 1.06561 0.328697i 0.288122 0.957594i \(-0.406969\pi\)
0.777489 + 0.628897i \(0.216493\pi\)
\(614\) −11665.5 + 155666.i −0.00124877 + 0.0166637i
\(615\) −5.17145e6 + 2.49044e6i −0.551346 + 0.265514i
\(616\) 1.67067e6 + 4.12906e7i 0.177394 + 4.38429i
\(617\) 4.17121e6 + 2.00875e6i 0.441112 + 0.212428i 0.641238 0.767342i \(-0.278421\pi\)
−0.200126 + 0.979770i \(0.564135\pi\)
\(618\) 1.12171e7 1.94286e7i 1.18143 2.04630i
\(619\) 6.90848e6 + 1.19658e7i 0.724697 + 1.25521i 0.959099 + 0.283071i \(0.0913534\pi\)
−0.234402 + 0.972140i \(0.575313\pi\)
\(620\) −5539.99 73926.0i −0.000578801 0.00772357i
\(621\) 1.74853e6 + 4.45518e6i 0.181946 + 0.463592i
\(622\) 5.42462e6 2.37668e7i 0.562204 2.46318i
\(623\) −3.16192e6 + 5.06629e6i −0.326386 + 0.522962i
\(624\) 1.33520e7 + 5.84991e7i 1.37273 + 6.01433i
\(625\) 3.18148e6 2.16909e6i 0.325783 0.222115i
\(626\) 3.99051e6 3.70265e6i 0.406998 0.377639i
\(627\) 2.37838e7 + 3.58483e6i 2.41608 + 0.364166i
\(628\) −1.91885e7 1.78043e7i −1.94152 1.80146i
\(629\) 79909.3 + 100203.i 0.00805324 + 0.0100984i
\(630\) 1.02059e7 1.19326e7i 1.02447 1.19780i
\(631\) 2.29257e6 2.87480e6i 0.229219 0.287431i −0.653900 0.756581i \(-0.726868\pi\)
0.883118 + 0.469150i \(0.155440\pi\)
\(632\) −3.77248e7 + 5.68610e6i −3.75694 + 0.566267i
\(633\) −1.55783e7 1.06211e7i −1.54529 1.05356i
\(634\) −4.03018e6 + 1.02687e7i −0.398200 + 1.01460i
\(635\) −8.29668e6 2.55919e6i −0.816526 0.251865i
\(636\) −3.05159e7 −2.99146
\(637\) −8.38208e6 1.21351e7i −0.818471 1.18494i
\(638\) −5.15175e6 −0.501075
\(639\) 7.99746e6 + 2.46689e6i 0.774819 + 0.239000i
\(640\) −483718. + 1.23249e6i −0.0466812 + 0.118942i
\(641\) −403788. 275298.i −0.0388158 0.0264642i 0.543757 0.839243i \(-0.317001\pi\)
−0.582573 + 0.812779i \(0.697954\pi\)
\(642\) 4.14712e7 6.25078e6i 3.97109 0.598545i
\(643\) −5.12096e6 + 6.42148e6i −0.488454 + 0.612502i −0.963581 0.267415i \(-0.913831\pi\)
0.475127 + 0.879917i \(0.342402\pi\)
\(644\) 8.27154e6 + 4.33953e6i 0.785908 + 0.412313i
\(645\) −4.62032e6 5.79370e6i −0.437294 0.548349i
\(646\) −8.63655e6 8.01355e6i −0.814253 0.755516i
\(647\) 3.42516e6 + 516259.i 0.321677 + 0.0484850i 0.307896 0.951420i \(-0.400375\pi\)
0.0137809 + 0.999905i \(0.495613\pi\)
\(648\) 1.03207e7 9.57620e6i 0.965542 0.895892i
\(649\) −1.41096e7 + 9.61977e6i −1.31493 + 0.896505i
\(650\) 5.01559e6 + 2.19747e7i 0.465627 + 2.04005i
\(651\) 40983.2 + 115991.i 0.00379013 + 0.0107269i
\(652\) −7.74524e6 + 3.39341e7i −0.713536 + 3.12621i
\(653\) 2.31316e6 + 5.89384e6i 0.212287 + 0.540898i 0.996864 0.0791333i \(-0.0252153\pi\)
−0.784577 + 0.620031i \(0.787120\pi\)
\(654\) 235918. + 3.14810e6i 0.0215683 + 0.287809i
\(655\) 637070. + 1.10344e6i 0.0580208 + 0.100495i
\(656\) −1.09842e7 + 1.90252e7i −0.996575 + 1.72612i
\(657\) 843965. + 406432.i 0.0762800 + 0.0367345i
\(658\) −7.04308e6 + 1.62777e7i −0.634158 + 1.46564i
\(659\) 1.23641e7 5.95421e6i 1.10904 0.534086i 0.212551 0.977150i \(-0.431823\pi\)
0.896490 + 0.443064i \(0.146109\pi\)
\(660\) 2.61522e6 3.48976e7i 0.233694 3.11843i
\(661\) −1.42558e7 + 4.39734e6i −1.26908 + 0.391459i −0.854927 0.518748i \(-0.826398\pi\)
−0.414153 + 0.910207i \(0.635922\pi\)
\(662\) 2.59730e7 8.01161e6i 2.30344 0.710517i
\(663\) −1.36949e6 + 1.82746e7i −0.120997 + 1.61460i
\(664\) 3.40144e7 1.63805e7i 2.99394 1.44181i
\(665\) −4.67170e6 869234.i −0.409657 0.0762224i
\(666\) 671984. + 323610.i 0.0587048 + 0.0282707i
\(667\) −344563. + 596801.i −0.0299885 + 0.0519415i
\(668\) 2.25883e7 + 3.91241e7i 1.95859 + 3.39237i
\(669\) −102279. 1.36482e6i −0.00883528 0.117899i
\(670\) 6.01276e6 + 1.53203e7i 0.517472 + 1.31850i
\(671\) 4.04281e6 1.77127e7i 0.346639 1.51872i
\(672\) 4.38140e6 3.99777e7i 0.374274 3.41503i
\(673\) −1.69527e6 7.42746e6i −0.144278 0.632124i −0.994413 0.105559i \(-0.966337\pi\)
0.850135 0.526565i \(-0.176520\pi\)
\(674\) 2.63596e6 1.79717e6i 0.223506 0.152384i
\(675\) 9.33175e6 8.65860e6i 0.788322 0.731456i
\(676\) −3.09099e7 4.65892e6i −2.60154 0.392120i
\(677\) 473258. + 439119.i 0.0396850 + 0.0368223i 0.699766 0.714372i \(-0.253288\pi\)
−0.660081 + 0.751194i \(0.729478\pi\)
\(678\) −3.79283e7 4.75606e7i −3.16876 3.97350i
\(679\) −2.38505e6 1.23989e7i −0.198529 1.03207i
\(680\) −6.32494e6 + 7.93123e6i −0.524547 + 0.657761i
\(681\) 1.20492e7 1.81613e6i 0.995613 0.150065i
\(682\) 205837. + 140337.i 0.0169458 + 0.0115535i
\(683\) 7.26033e6 1.84990e7i 0.595532 1.51739i −0.241593 0.970378i \(-0.577670\pi\)
0.837125 0.547012i \(-0.184235\pi\)
\(684\) −4.65247e7 1.43510e7i −3.80227 1.17285i
\(685\) −4.44730e6 −0.362134
\(686\) 6.12652e6 + 2.20580e7i 0.497054 + 1.78960i
\(687\) −1.43651e7 −1.16123
\(688\) −2.71022e7 8.35991e6i −2.18290 0.673334i
\(689\) 4.76852e6 1.21500e7i 0.382680 0.975052i
\(690\) −5.44664e6 3.71346e6i −0.435518 0.296931i
\(691\) −1.88954e7 + 2.84802e6i −1.50543 + 0.226907i −0.849368 0.527801i \(-0.823017\pi\)
−0.656061 + 0.754708i \(0.727779\pi\)
\(692\) 9.72551e6 1.21954e7i 0.772053 0.968124i
\(693\) 7.07806e6 + 3.67959e7i 0.559862 + 2.91049i
\(694\) 5.22860e6 + 6.55646e6i 0.412085 + 0.516738i
\(695\) 6.22699e6 + 5.77780e6i 0.489008 + 0.453733i
\(696\) 9.45774e6 + 1.42553e6i 0.740056 + 0.111545i
\(697\) −4.91838e6 + 4.56359e6i −0.383478 + 0.355815i
\(698\) −1.64169e7 + 1.11929e7i −1.27542 + 0.869566i
\(699\) 1.98240e6 + 8.68546e6i 0.153461 + 0.672357i
\(700\) 2.70669e6 2.46970e7i 0.208782 1.90502i
\(701\) −3.66575e6 + 1.60607e7i −0.281753 + 1.23444i 0.613792 + 0.789468i \(0.289643\pi\)
−0.895545 + 0.444972i \(0.853214\pi\)
\(702\) 1.75400e7 + 4.46912e7i 1.34334 + 3.42278i
\(703\) −16867.8 225086.i −0.00128727 0.0171775i
\(704\) −1.33842e7 2.31821e7i −1.01779 1.76287i
\(705\) 4.44428e6 7.69772e6i 0.336766 0.583297i
\(706\) 4.37297e7 + 2.10591e7i 3.30191 + 1.59012i
\(707\) −4.20961e6 783256.i −0.316733 0.0589325i
\(708\) 4.82682e7 2.32448e7i 3.61891 1.74278i
\(709\) −379865. + 5.06895e6i −0.0283801 + 0.378706i 0.964871 + 0.262724i \(0.0846207\pi\)
−0.993251 + 0.115983i \(0.962998\pi\)
\(710\) −4.95892e6 + 1.52962e6i −0.369183 + 0.113878i
\(711\) −3.30561e7 + 1.01964e7i −2.45232 + 0.756440i
\(712\) 1.67793e6 2.23905e7i 0.124044 1.65525i
\(713\) 30024.3 14458.9i 0.00221181 0.00106515i
\(714\) 1.12959e7 2.61067e7i 0.829232 1.91649i
\(715\) 1.34859e7 + 6.49448e6i 0.986542 + 0.475094i
\(716\) −5.47600e6 + 9.48472e6i −0.399191 + 0.691420i
\(717\) 1.01855e7 + 1.76418e7i 0.739919 + 1.28158i
\(718\) −1.51867e6 2.02652e7i −0.109939 1.46703i
\(719\) −4.11677e6 1.04894e7i −0.296985 0.756705i −0.999007 0.0445501i \(-0.985815\pi\)
0.702022 0.712155i \(-0.252281\pi\)
\(720\) −6.70182e6 + 2.93626e7i −0.481794 + 2.11088i
\(721\) −3.52362e6 9.97260e6i −0.252436 0.714448i
\(722\) −1.17190e6 5.13444e6i −0.0836659 0.366564i
\(723\) 5.27035e6 3.59326e6i 0.374967 0.255648i
\(724\) 3.67786e7 3.41256e7i 2.60765 2.41955i
\(725\) 1.81249e6 + 273189.i 0.128065 + 0.0193027i
\(726\) 5.37452e7 + 4.98682e7i 3.78441 + 3.51142i
\(727\) 1.62655e7 + 2.03963e7i 1.14138 + 1.43125i 0.885562 + 0.464522i \(0.153774\pi\)
0.255819 + 0.966725i \(0.417655\pi\)
\(728\) 4.91034e7 + 2.57613e7i 3.43386 + 1.80152i
\(729\) −1.26883e7 + 1.59106e7i −0.884268 + 1.10884i
\(730\) −574343. + 86568.3i −0.0398900 + 0.00601245i
\(731\) −7.15704e6 4.87959e6i −0.495382 0.337746i
\(732\) −2.08235e7 + 5.30574e7i −1.43640 + 3.65989i
\(733\) 588581. + 181553.i 0.0404619 + 0.0124808i 0.314920 0.949118i \(-0.398022\pi\)
−0.274458 + 0.961599i \(0.588498\pi\)
\(734\) −2.48647e7 −1.70350
\(735\) −1.77889e6 1.13342e7i −0.121459 0.773881i
\(736\) −1.08944e7 −0.741323
\(737\) −3.75299e7 1.15764e7i −2.54512 0.785066i
\(738\) −1.42648e7 + 3.63462e7i −0.964109 + 2.45651i
\(739\) 1.66487e7 + 1.13509e7i 1.12142 + 0.764573i 0.974458 0.224569i \(-0.0720974\pi\)
0.146964 + 0.989142i \(0.453050\pi\)
\(740\) −324742. + 48947.0i −0.0218002 + 0.00328584i
\(741\) 2.01228e7 2.52332e7i 1.34631 1.68821i
\(742\) −1.31686e7 + 1.53965e7i −0.878068 + 1.02663i
\(743\) 2.67256e6 + 3.35128e6i 0.177605 + 0.222709i 0.862663 0.505779i \(-0.168795\pi\)
−0.685058 + 0.728488i \(0.740223\pi\)
\(744\) −339050. 314593.i −0.0224560 0.0208361i
\(745\) −710757. 107129.i −0.0469170 0.00707160i
\(746\) 1.94618e6 1.80579e6i 0.128037 0.118801i
\(747\) 2.82840e7 1.92837e7i 1.85456 1.26442i
\(748\) −9.10266e6 3.98813e7i −0.594859 2.60625i
\(749\) 1.04689e7 1.67741e7i 0.681859 1.09253i
\(750\) −8.88906e6 + 3.89455e7i −0.577035 + 2.52816i
\(751\) 4.21692e6 + 1.07445e7i 0.272832 + 0.695166i 0.999962 + 0.00866593i \(0.00275848\pi\)
−0.727130 + 0.686500i \(0.759146\pi\)
\(752\) −2.54229e6 3.39244e7i −0.163938 2.18760i
\(753\) −6.31650e6 1.09405e7i −0.405966 0.703153i
\(754\) −3.45641e6 + 5.98669e6i −0.221410 + 0.383494i
\(755\) 3.43486e6 + 1.65414e6i 0.219301 + 0.105610i
\(756\) −2.13945e6 5.28764e7i −0.136144 3.36478i
\(757\) −1.66081e7 + 7.99804e6i −1.05337 + 0.507275i −0.878711 0.477354i \(-0.841596\pi\)
−0.174657 + 0.984629i \(0.555882\pi\)
\(758\) 2.93077e6 3.91084e7i 0.185272 2.47228i
\(759\) 1.50323e7 4.63685e6i 0.947155 0.292159i
\(760\) 1.70721e7 5.26604e6i 1.07214 0.330712i
\(761\) −359520. + 4.79747e6i −0.0225041