Properties

Label 49.6.g.a.25.2
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 25.2
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.2

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.0399 + 3.09691i −1.77483 + 0.547462i −0.996739 0.0806935i \(-0.974287\pi\)
−0.778088 + 0.628155i \(0.783810\pi\)
\(3\) 9.56163 + 24.3626i 0.613379 + 1.56286i 0.812545 + 0.582898i \(0.198081\pi\)
−0.199167 + 0.979966i \(0.563824\pi\)
\(4\) 64.7699 44.1593i 2.02406 1.37998i
\(5\) −25.7914 3.88743i −0.461371 0.0695404i −0.0857556 0.996316i \(-0.527330\pi\)
−0.375615 + 0.926776i \(0.622569\pi\)
\(6\) −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 −0.991617 0.129210i \(-0.958756\pi\)
−0.202952 0.979189i \(-0.565054\pi\)
\(12\) 1695.14 + 1155.73i 3.39823 + 2.31688i
\(13\) 195.268 855.524i 0.320459 1.40402i −0.516281 0.856420i \(-0.672684\pi\)
0.836739 0.547602i \(-0.184459\pi\)
\(14\) 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 −0.914624 0.404306i \(-0.867513\pi\)
0.964667 0.263473i \(-0.0848680\pi\)
\(18\) 2321.79 4021.46i 1.68905 2.92551i
\(19\) 702.647 + 1217.02i 0.446532 + 0.773417i 0.998158 0.0606752i \(-0.0193254\pi\)
−0.551625 + 0.834092i \(0.685992\pi\)
\(20\) −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 0.994244 + 0.107142i \(0.0341700\pi\)
−0.967170 + 0.254130i \(0.918211\pi\)
\(24\) −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 −0.506973 0.861962i \(-0.669236\pi\)
0.357816 + 0.933792i \(0.383521\pi\)
\(30\) 3586.11 + 6211.32i 0.727479 + 1.26003i
\(31\) 18.1285 31.3995i 0.00338812 0.00586839i −0.864326 0.502931i \(-0.832255\pi\)
0.867714 + 0.497063i \(0.165588\pi\)
\(32\) −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 0.571262 0.820768i \(-0.306454\pi\)
−0.555326 + 0.831633i \(0.687406\pi\)
\(38\) −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 −0.476193 0.879341i \(-0.657984\pi\)
0.963257 + 0.268582i \(0.0865551\pi\)
\(42\) −31568.2 + 16561.7i −2.76138 + 1.44871i
\(43\) −6768.40 8487.31i −0.558232 0.700001i 0.419998 0.907525i \(-0.362031\pi\)
−0.978230 + 0.207524i \(0.933459\pi\)
\(44\) −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 −0.676931 0.736047i \(-0.736690\pi\)
−0.144677 + 0.989479i \(0.546214\pi\)
\(48\) 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 −0.825226 0.564803i \(-0.808952\pi\)
0.224272 + 0.974527i \(0.428000\pi\)
\(54\) 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 0.352785 0.935704i \(-0.385235\pi\)
0.612916 + 0.790148i \(0.289996\pi\)
\(60\) −39227.3 36397.6i −1.40673 1.30525i
\(61\) −22954.1 15649.8i −0.789833 0.538499i 0.0998908 0.994998i \(-0.468151\pi\)
−0.889724 + 0.456499i \(0.849103\pi\)
\(62\) −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 −0.0905054 0.995896i \(-0.528848\pi\)
0.907724 0.419568i \(-0.137818\pi\)
\(68\) −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 0.222133 0.975016i \(-0.428698\pi\)
−0.623801 + 0.781583i \(0.714412\pi\)
\(72\) −16098.4 214819.i −0.365976 4.88361i
\(73\) −2025.32 624.727i −0.0444821 0.0137209i 0.272434 0.962174i \(-0.412171\pi\)
−0.316916 + 0.948453i \(0.602647\pi\)
\(74\) −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 0.966507 + 0.256642i \(0.0826160\pi\)
−0.260995 + 0.965340i \(0.584051\pi\)
\(80\) −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 −0.904497 0.426480i \(-0.859753\pi\)
0.629881 0.776692i \(-0.283104\pi\)
\(84\) 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 −0.421110 0.907009i \(-0.638359\pi\)
0.873004 + 0.487714i \(0.162169\pi\)
\(90\) −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 0.859866 0.510519i \(-0.170547\pi\)
−0.977568 + 0.210621i \(0.932452\pi\)
\(102\) −181292. + 123602.i −1.72535 + 1.17632i
\(103\) −80673.6 12159.6i −0.749270 0.112934i −0.236704 0.971582i \(-0.576067\pi\)
−0.512566 + 0.858648i \(0.671305\pi\)
\(104\) 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 −0.992423 0.122870i \(-0.960790\pi\)
0.0483628 + 0.998830i \(0.484600\pi\)
\(108\) −403640. + 60838.9i −3.32992 + 0.501905i
\(109\) 8415.87 + 7808.78i 0.0678473 + 0.0629531i 0.713368 0.700790i \(-0.247169\pi\)
−0.645520 + 0.763743i \(0.723359\pi\)
\(110\) −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 −0.746395 0.665503i \(-0.768217\pi\)
0.383727 0.923446i \(-0.374640\pi\)
\(114\) 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 0.650636 0.759390i \(-0.274503\pi\)
0.999380 0.0352156i \(-0.0112118\pi\)
\(128\) 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 −0.969080 0.246748i \(-0.920638\pi\)
0.878217 + 0.478262i \(0.158733\pi\)
\(132\) −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 0.246375 0.969175i \(-0.420760\pi\)
0.521099 + 0.853496i \(0.325522\pi\)
\(138\) 185270. 171905.i 0.828147 0.768408i
\(139\) −203058. + 254626.i −0.891420 + 1.11781i 0.100996 + 0.994887i \(0.467797\pi\)
−0.992417 + 0.122919i \(0.960774\pi\)
\(140\) 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 −0.245788 0.969324i \(-0.579047\pi\)
0.342960 + 0.939350i \(0.388570\pi\)
\(150\) 245597. + 625771.i 0.891241 + 2.27084i
\(151\) −120768. + 82338.2i −0.431032 + 0.293872i −0.759335 0.650700i \(-0.774476\pi\)
0.328303 + 0.944572i \(0.393523\pi\)
\(152\) −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 −0.659929 0.751328i \(-0.729414\pi\)
−0.409152 + 0.912466i \(0.634176\pi\)
\(158\) −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 −0.464703 0.885466i \(-0.653839\pi\)
0.942922 0.333014i \(-0.108066\pi\)
\(164\) 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 0.459724 0.888062i \(-0.347948\pi\)
0.980948 + 0.194270i \(0.0622339\pi\)
\(168\) −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 0.983716 + 0.179727i \(0.0575215\pi\)
−0.945942 + 0.324335i \(0.894859\pi\)
\(174\) 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 −0.971697 0.236229i \(-0.924088\pi\)
0.996052 0.0887667i \(-0.0282925\pi\)
\(180\) 330145. 841195.i 0.759491 1.93515i
\(181\) 142418. + 623973.i 0.323123 + 1.41569i 0.831962 + 0.554833i \(0.187218\pi\)
−0.508839 + 0.860862i \(0.669925\pi\)
\(182\) 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 −0.266513 0.963831i \(-0.585871\pi\)
−0.538767 + 0.842455i \(0.681110\pi\)
\(192\) 885120. 603465.i 1.73280 1.18141i
\(193\) 130838. + 333370.i 0.252837 + 0.644218i 0.999787 0.0206628i \(-0.00657763\pi\)
−0.746950 + 0.664881i \(0.768482\pi\)
\(194\) 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 0.992543 0.121891i \(-0.0388958\pi\)
−0.810493 + 0.585749i \(0.800801\pi\)
\(200\) 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 0.933640 + 0.358213i \(0.116614\pi\)
−0.685758 + 0.727830i \(0.740529\pi\)
\(212\) −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 0.465338 0.885133i \(-0.345933\pi\)
−0.401892 + 0.915687i \(0.631647\pi\)
\(224\) 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 −0.676249 0.736673i \(-0.736396\pi\)
0.976102 + 0.217312i \(0.0697291\pi\)
\(228\) −215458. + 2.87509e6i −0.274490 + 3.66281i
\(229\) −200528. + 510937.i −0.252689 + 0.643841i −0.999782 0.0208786i \(-0.993354\pi\)
0.747093 + 0.664719i \(0.231449\pi\)
\(230\) 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 0.381614 0.924322i \(-0.375368\pi\)
−0.721007 + 0.692927i \(0.756321\pi\)
\(234\) −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 0.427032 0.904237i \(-0.359559\pi\)
−0.976589 + 0.215114i \(0.930988\pi\)
\(240\) −1.76357e6 265815.i −1.97635 0.297887i
\(241\) 201375. 137295.i 0.223338 0.152269i −0.446482 0.894792i \(-0.647323\pi\)
0.669821 + 0.742523i \(0.266371\pi\)
\(242\) −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 0.909392 0.415940i \(-0.136547\pi\)
−0.607870 + 0.794036i \(0.707976\pi\)
\(252\) 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 0.851824 0.523827i \(-0.175496\pi\)
−0.176411 + 0.984317i \(0.556449\pi\)
\(258\) −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 0.0198689 0.999803i \(-0.493675\pi\)
0.855920 0.517108i \(-0.172992\pi\)
\(264\) 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 −0.0362840 0.999342i \(-0.511552\pi\)
−0.592928 + 0.805255i \(0.702028\pi\)
\(270\) −1.36360e6 420616.i −1.13836 0.351137i
\(271\) −129593. 1.72929e6i −0.107191 1.43036i −0.748529 0.663102i \(-0.769240\pi\)
0.641338 0.767258i \(-0.278379\pi\)
\(272\) −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 0.826873 + 0.562389i \(0.190118\pi\)
−0.901457 + 0.432869i \(0.857501\pi\)
\(278\) 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 0.445408 + 0.895328i \(0.353059\pi\)
−0.789767 + 0.613407i \(0.789799\pi\)
\(282\) 2.95836e6 + 2.01698e6i 2.21528 + 1.51035i
\(283\) 1.21946e6 + 1.13150e6i 0.905112 + 0.839821i 0.987635 0.156768i \(-0.0501074\pi\)
−0.0825234 + 0.996589i \(0.526298\pi\)
\(284\) −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 −0.975919 0.218133i \(-0.930003\pi\)
0.973917 + 0.226904i \(0.0728605\pi\)
\(308\) −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 −0.680202 0.733025i \(-0.738108\pi\)
0.781856 0.623459i \(-0.214273\pi\)
\(312\) −5.59714e6 + 9.69453e6i −3.25521 + 5.63819i
\(313\) −259057. 448701.i −0.149463 0.258878i 0.781566 0.623823i \(-0.214421\pi\)
−0.931029 + 0.364944i \(0.881088\pi\)
\(314\) 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 0.975239 + 0.221153i \(0.0709820\pi\)
−0.931385 + 0.364035i \(0.881399\pi\)
\(318\) 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 −0.107557 0.994199i \(-0.534303\pi\)
−0.964769 + 0.263100i \(0.915255\pi\)
\(332\) −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 0.734352 0.678769i \(-0.237486\pi\)
−0.825159 + 0.564900i \(0.808915\pi\)
\(338\) 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 −0.701340 0.712827i \(-0.747414\pi\)
0.407324 + 0.913284i \(0.366462\pi\)
\(348\) −1.52108e6 229266.i −0.673292 0.101482i
\(349\) 1.17909e6 + 1.47854e6i 0.518185 + 0.649783i 0.970222 0.242216i \(-0.0778742\pi\)
−0.452038 + 0.891999i \(0.649303\pi\)
\(350\) 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 −0.999896 0.0144024i \(-0.995415\pi\)
−0.951229 + 0.308487i \(0.900177\pi\)
\(354\) −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 −0.710073 0.704128i \(-0.751338\pi\)
0.999449 0.0331900i \(-0.0105666\pi\)
\(360\) −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 0.700146 0.714000i \(-0.253118\pi\)
0.176278 + 0.984340i \(0.443594\pi\)
\(368\) 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 0.841558 0.540167i \(-0.181639\pi\)
−0.888577 + 0.458727i \(0.848306\pi\)
\(374\) 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 −0.577509 0.816384i \(-0.695975\pi\)
0.874534 0.484965i \(-0.161168\pi\)
\(380\) −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 −0.907605 0.419826i \(-0.862091\pi\)
0.350827 + 0.936440i \(0.385901\pi\)
\(384\) −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 0.904941 + 0.425537i \(0.139915\pi\)
−0.373930 + 0.927457i \(0.621990\pi\)
\(390\) 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 0.272955 0.962027i \(-0.411999\pi\)
−0.0227336 + 0.999742i \(0.507237\pi\)
\(398\) −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 −0.579813 0.814750i \(-0.696874\pi\)
0.769142 + 0.639078i \(0.220684\pi\)
\(402\) −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 0.944518 + 0.328459i \(0.106529\pi\)
−0.982923 + 0.184017i \(0.941090\pi\)
\(410\) 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 0.382705 0.923870i \(-0.374992\pi\)
−0.483698 + 0.875235i \(0.660707\pi\)
\(420\) −5.59434e6 + 4.10260e6i −1.54748 + 1.13484i
\(421\) −4.83551e6 + 2.32866e6i −1.32965 + 0.640325i −0.957657 0.287911i \(-0.907039\pi\)
−0.371991 + 0.928236i \(0.621325\pi\)
\(422\) −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 0.457973 0.888966i \(-0.348576\pi\)
0.699654 + 0.714482i \(0.253338\pi\)
\(432\) −9.97293e6 + 9.25352e6i −2.57107 + 2.38560i
\(433\) 4.63146e6 5.80766e6i 1.18713 1.48861i 0.354256 0.935148i \(-0.384734\pi\)
0.832873 0.553464i \(-0.186694\pi\)
\(434\) 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 −0.624618 0.780931i \(-0.714745\pi\)
−0.0761693 + 0.997095i \(0.524269\pi\)
\(440\) −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 0.463710 0.885987i \(-0.346518\pi\)
0.882229 + 0.470820i \(0.156042\pi\)
\(444\) 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 −0.488345 0.872650i \(-0.662399\pi\)
0.959438 + 0.281918i \(0.0909708\pi\)
\(450\) −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 −0.530252 0.847840i \(-0.677903\pi\)
0.965380 0.260848i \(-0.0840022\pi\)
\(458\) 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 −0.291863 0.956460i \(-0.594275\pi\)
0.565817 + 0.824531i \(0.308561\pi\)
\(462\) 2.25005e7 + 6.10235e6i 4.90441 + 1.33012i
\(463\) 1.42058e6 + 684118.i 0.307974 + 0.148313i 0.581487 0.813556i \(-0.302471\pi\)
−0.273512 + 0.961868i \(0.588185\pi\)
\(464\) 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 −0.905521 0.424301i \(-0.860520\pi\)
0.832168 0.554523i \(-0.187099\pi\)
\(468\) 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 0.926562 0.376143i \(-0.122750\pi\)
−0.305849 + 0.952080i \(0.598940\pi\)
\(480\) 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 0.777958 0.628316i \(-0.216256\pi\)
−0.997647 + 0.0685576i \(0.978160\pi\)
\(488\) 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 −0.0949058 + 0.995486i \(0.530255\pi\)
−0.999795 + 0.0202477i \(0.993555\pi\)
\(500\) 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 −0.592398 0.805645i \(-0.701819\pi\)
0.883289 0.468830i \(-0.155324\pi\)
\(504\) −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 0.986299 + 0.164970i \(0.0527526\pi\)
−0.350281 + 0.936645i \(0.613914\pi\)
\(510\) 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 −0.790316 0.612700i \(-0.790084\pi\)
0.925771 + 0.378084i \(0.123417\pi\)
\(522\) −260182. + 3.47189e6i −0.0417927 + 0.557685i
\(523\) −99730.4 + 254109.i −0.0159431 + 0.0406224i −0.938624 0.344943i \(-0.887898\pi\)
0.922681 + 0.385565i \(0.125994\pi\)
\(524\) 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 −0.315931 0.948782i \(-0.602317\pi\)
0.273434 + 0.961891i \(0.411840\pi\)
\(542\) 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 0.0662869 0.997801i \(-0.478885\pi\)
0.958033 0.286656i \(-0.0925438\pi\)
\(548\) 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 −0.925278 0.379290i \(-0.876168\pi\)
0.791113 + 0.611669i \(0.209502\pi\)
\(558\) −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 0.712739 0.701429i \(-0.247454\pi\)
0.193764 + 0.981048i \(0.437931\pi\)
\(564\) −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 0.994886 + 0.101007i \(0.0322065\pi\)
−0.409968 + 0.912100i \(0.634460\pi\)
\(570\) −5.03954e6 + 8.72873e6i −0.649686 + 1.12529i
\(571\) 558343. 7.45057e6i 0.0716656 0.956311i −0.839257 0.543735i \(-0.817010\pi\)
0.910923 0.412577i \(-0.135371\pi\)
\(572\) −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 0.0963570 0.995347i \(-0.469281\pi\)
−0.985363 + 0.170470i \(0.945471\pi\)
\(578\) −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 0.144858 0.989452i \(-0.453727\pi\)
−0.153224 + 0.988192i \(0.548966\pi\)
\(594\) −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 0.945513 0.325586i \(-0.105561\pi\)
−0.254017 + 0.967200i \(0.581752\pi\)
\(600\) 2.57671e7 + 1.75677e7i 2.92205 + 1.99222i
\(601\) 2.08639e6 9.14109e6i 0.235619 1.03231i −0.709273 0.704933i \(-0.750977\pi\)
0.944892 0.327381i \(-0.106166\pi\)
\(602\) 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 −0.976140 0.217140i \(-0.930327\pi\)
0.300021 0.953932i \(-0.403006\pi\)
\(608\) −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 0.777489 0.628897i \(-0.216493\pi\)
0.288122 + 0.957594i \(0.406969\pi\)
\(614\) −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 −0.200126 0.979770i \(-0.564135\pi\)
0.641238 + 0.767342i \(0.278421\pi\)
\(618\) 1.12171e7 + 1.94286e7i 1.18143 + 2.04630i
\(619\) 6.90848e6 1.19658e7i 0.724697 1.25521i −0.234402 0.972140i \(-0.575313\pi\)
0.959099 0.283071i \(-0.0913534\pi\)
\(620\) −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 0.883118 0.469150i \(-0.155440\pi\)
−0.653900 + 0.756581i \(0.726868\pi\)
\(632\) −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 −0.582573 0.812779i \(-0.697954\pi\)
0.543757 + 0.839243i \(0.317001\pi\)
\(642\) 4.14712e7 + 6.25078e6i 3.97109 + 0.598545i
\(643\) −5.12096e6 6.42148e6i −0.488454 0.612502i 0.475127 0.879917i \(-0.342402\pi\)
−0.963581 + 0.267415i \(0.913831\pi\)
\(644\) 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 0.0137809 0.999905i \(-0.495613\pi\)
0.307896 + 0.951420i \(0.400375\pi\)
\(648\) 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 −0.784577 0.620031i \(-0.787120\pi\)
0.996864 + 0.0791333i \(0.0252153\pi\)
\(654\) 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 0.896490 0.443064i \(-0.146109\pi\)
0.212551 + 0.977150i \(0.431823\pi\)
\(660\) 2.61522e6 + 3.48976e7i 0.233694 + 3.11843i
\(661\) −1.42558e7 4.39734e6i −1.26908 0.391459i −0.414153 0.910207i \(-0.635922\pi\)
−0.854927 + 0.518748i \(0.826398\pi\)
\(662\) 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 0.850135 + 0.526565i \(0.176520\pi\)
−0.994413 + 0.105559i \(0.966337\pi\)
\(674\) 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 −0.660081 0.751194i \(-0.729478\pi\)
0.699766 + 0.714372i \(0.253288\pi\)
\(678\) −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 0.837125 + 0.547012i \(0.184235\pi\)
−0.241593 + 0.970378i \(0.577670\pi\)
\(684\) −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 −0.656061 0.754708i \(-0.727779\pi\)
−0.849368 + 0.527801i \(0.823017\pi\)
\(692\) 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 −0.895545 0.444972i \(-0.853214\pi\)
0.613792 0.789468i \(-0.289643\pi\)
\(702\) 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 −0.993251 0.115983i \(-0.962998\pi\)
0.964871 0.262724i \(-0.0846207\pi\)
\(710\) −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 0.702022 + 0.712155i \(0.252281\pi\)
−0.999007 + 0.0445501i \(0.985815\pi\)
\(720\) −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 0.255819 0.966725i \(-0.417655\pi\)
0.885562 0.464522i \(-0.153774\pi\)
\(728\) 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 −0.274458 0.961599i \(-0.588498\pi\)
0.314920 + 0.949118i \(0.398022\pi\)
\(734\) −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 0.146964 0.989142i \(-0.453050\pi\)
0.974458 + 0.224569i \(0.0720974\pi\)
\(740\) −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 −0.685058 0.728488i \(-0.740223\pi\)
0.862663 + 0.505779i \(0.168795\pi\)
\(744\) −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 −0.727130 0.686500i \(-0.759146\pi\)
0.999962 0.00866593i \(-0.00275848\pi\)
\(752\) −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 −0.174657 0.984629i \(-0.555882\pi\)
−0.878711 + 0.477354i \(0.841596\pi\)
\(758\) 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. &minus