Properties

Label 49.6.g.a.25.6
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 25.6
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-6.81543 + 2.10228i) q^{2} +(3.52552 + 8.98289i) q^{3} +(15.5909 - 10.6297i) q^{4} +(80.2537 + 12.0963i) q^{5} +(-42.9125 - 53.8106i) q^{6} +(-85.3330 - 97.5975i) q^{7} +(58.3893 - 73.2178i) q^{8} +(109.869 - 101.943i) q^{9} +O(q^{10})\) \(q+(-6.81543 + 2.10228i) q^{2} +(3.52552 + 8.98289i) q^{3} +(15.5909 - 10.6297i) q^{4} +(80.2537 + 12.0963i) q^{5} +(-42.9125 - 53.8106i) q^{6} +(-85.3330 - 97.5975i) q^{7} +(58.3893 - 73.2178i) q^{8} +(109.869 - 101.943i) q^{9} +(-572.393 + 86.2744i) q^{10} +(415.840 + 385.843i) q^{11} +(150.451 + 102.576i) q^{12} +(20.6664 - 90.5452i) q^{13} +(786.759 + 485.775i) q^{14} +(174.277 + 763.556i) q^{15} +(-464.628 + 1183.85i) q^{16} +(-5.71997 + 76.3277i) q^{17} +(-534.489 + 925.762i) q^{18} +(1254.84 + 2173.45i) q^{19} +(1379.81 - 664.480i) q^{20} +(575.864 - 1110.62i) q^{21} +(-3645.28 - 1755.47i) q^{22} +(-51.6075 - 688.654i) q^{23} +(863.561 + 266.373i) q^{24} +(3308.17 + 1020.44i) q^{25} +(49.5015 + 660.551i) q^{26} +(3415.81 + 1644.97i) q^{27} +(-2367.85 - 614.569i) q^{28} +(-5080.93 + 2446.85i) q^{29} +(-2792.98 - 4837.58i) q^{30} +(3354.97 - 5810.98i) q^{31} +(453.898 - 6056.85i) q^{32} +(-1999.93 + 5095.74i) q^{33} +(-121.478 - 532.231i) q^{34} +(-5667.72 - 8864.77i) q^{35} +(629.325 - 2757.25i) q^{36} +(-5429.12 - 3701.51i) q^{37} +(-13121.5 - 12175.0i) q^{38} +(886.217 - 133.576i) q^{39} +(5571.62 - 5169.71i) q^{40} +(-6181.61 + 7751.49i) q^{41} +(-1589.93 + 8779.98i) q^{42} +(12687.6 + 15909.8i) q^{43} +(10584.7 + 1595.39i) q^{44} +(10050.5 - 6852.31i) q^{45} +(1799.47 + 4584.98i) q^{46} +(26412.8 - 8147.27i) q^{47} -12272.5 q^{48} +(-2243.55 + 16656.6i) q^{49} -24691.8 q^{50} +(-705.809 + 217.713i) q^{51} +(-640.261 - 1631.36i) q^{52} +(9744.95 - 6643.99i) q^{53} +(-26738.4 - 4030.16i) q^{54} +(28705.4 + 35995.4i) q^{55} +(-12128.4 + 549.252i) q^{56} +(-15099.9 + 18934.6i) q^{57} +(29484.8 - 27357.9i) q^{58} +(772.611 - 116.452i) q^{59} +(10833.5 + 10052.0i) q^{60} +(-8393.82 - 5722.81i) q^{61} +(-10649.3 + 46657.5i) q^{62} +(-19324.8 - 2023.78i) q^{63} +(583.885 + 2558.17i) q^{64} +(2753.81 - 7016.60i) q^{65} +(2917.71 - 38934.1i) q^{66} +(17776.9 - 30790.6i) q^{67} +(722.161 + 1250.82i) q^{68} +(6004.16 - 2891.45i) q^{69} +(57264.2 + 48502.1i) q^{70} +(-75982.6 - 36591.3i) q^{71} +(-1048.91 - 13996.7i) q^{72} +(2966.48 + 915.037i) q^{73} +(44783.4 + 13813.8i) q^{74} +(2496.58 + 33314.5i) q^{75} +(42667.2 + 20547.4i) q^{76} +(2172.44 - 73510.0i) q^{77} +(-5759.14 + 2773.46i) q^{78} +(35537.0 + 61551.9i) q^{79} +(-51608.3 + 89388.2i) q^{80} +(-12.3316 + 164.554i) q^{81} +(25834.5 - 65825.3i) q^{82} +(-6679.05 - 29262.8i) q^{83} +(-2827.31 - 23436.8i) q^{84} +(-1382.33 + 6056.39i) q^{85} +(-119918. - 81759.0i) q^{86} +(-39892.7 - 37015.0i) q^{87} +(52531.2 - 7917.80i) q^{88} +(25021.1 - 23216.2i) q^{89} +(-54093.0 + 67830.5i) q^{90} +(-10600.5 + 5709.51i) q^{91} +(-8124.78 - 10188.2i) q^{92} +(64027.4 + 9650.58i) q^{93} +(-162887. + 111054. i) q^{94} +(74414.9 + 189606. i) q^{95} +(56008.3 - 17276.3i) q^{96} -14961.9 q^{97} +(-19726.1 - 118238. i) q^{98} +85021.8 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.81543 + 2.10228i −1.20481 + 0.371635i −0.831212 0.555956i \(-0.812352\pi\)
−0.373598 + 0.927591i \(0.621876\pi\)
\(3\) 3.52552 + 8.98289i 0.226162 + 0.576253i 0.998242 0.0592736i \(-0.0188784\pi\)
−0.772079 + 0.635526i \(0.780783\pi\)
\(4\) 15.5909 10.6297i 0.487215 0.332178i
\(5\) 80.2537 + 12.0963i 1.43562 + 0.216385i 0.820319 0.571906i \(-0.193796\pi\)
0.615302 + 0.788291i \(0.289034\pi\)
\(6\) −42.9125 53.8106i −0.486638 0.610225i
\(7\) −85.3330 97.5975i −0.658221 0.752824i
\(8\) 58.3893 73.2178i 0.322558 0.404475i
\(9\) 109.869 101.943i 0.452134 0.419519i
\(10\) −572.393 + 86.2744i −1.81007 + 0.272824i
\(11\) 415.840 + 385.843i 1.03620 + 0.961454i 0.999283 0.0378640i \(-0.0120554\pi\)
0.0369184 + 0.999318i \(0.488246\pi\)
\(12\) 150.451 + 102.576i 0.301608 + 0.205633i
\(13\) 20.6664 90.5452i 0.0339161 0.148596i −0.955135 0.296172i \(-0.904290\pi\)
0.989051 + 0.147576i \(0.0471470\pi\)
\(14\) 786.759 + 485.775i 1.07281 + 0.662392i
\(15\) 174.277 + 763.556i 0.199991 + 0.876219i
\(16\) −464.628 + 1183.85i −0.453738 + 1.15611i
\(17\) −5.71997 + 76.3277i −0.00480034 + 0.0640560i −0.999089 0.0426635i \(-0.986416\pi\)
0.994289 + 0.106720i \(0.0340347\pi\)
\(18\) −534.489 + 925.762i −0.388828 + 0.673470i
\(19\) 1254.84 + 2173.45i 0.797452 + 1.38123i 0.921270 + 0.388923i \(0.127153\pi\)
−0.123818 + 0.992305i \(0.539514\pi\)
\(20\) 1379.81 664.480i 0.771335 0.371455i
\(21\) 575.864 1110.62i 0.284952 0.549562i
\(22\) −3645.28 1755.47i −1.60573 0.773281i
\(23\) −51.6075 688.654i −0.0203420 0.271445i −0.998096 0.0616876i \(-0.980352\pi\)
0.977754 0.209757i \(-0.0672673\pi\)
\(24\) 863.561 + 266.373i 0.306030 + 0.0943979i
\(25\) 3308.17 + 1020.44i 1.05861 + 0.326539i
\(26\) 49.5015 + 660.551i 0.0143610 + 0.191634i
\(27\) 3415.81 + 1644.97i 0.901745 + 0.434258i
\(28\) −2367.85 614.569i −0.570767 0.148141i
\(29\) −5080.93 + 2446.85i −1.12188 + 0.540271i −0.900474 0.434910i \(-0.856780\pi\)
−0.221410 + 0.975181i \(0.571066\pi\)
\(30\) −2792.98 4837.58i −0.566585 0.981353i
\(31\) 3354.97 5810.98i 0.627025 1.08604i −0.361121 0.932519i \(-0.617606\pi\)
0.988146 0.153520i \(-0.0490608\pi\)
\(32\) 453.898 6056.85i 0.0783581 1.04562i
\(33\) −1999.93 + 5095.74i −0.319691 + 0.814558i
\(34\) −121.478 532.231i −0.0180219 0.0789593i
\(35\) −5667.72 8864.77i −0.782057 1.22320i
\(36\) 629.325 2757.25i 0.0809318 0.354585i
\(37\) −5429.12 3701.51i −0.651966 0.444503i 0.191640 0.981465i \(-0.438619\pi\)
−0.843606 + 0.536963i \(0.819572\pi\)
\(38\) −13121.5 12175.0i −1.47409 1.36776i
\(39\) 886.217 133.576i 0.0932994 0.0140626i
\(40\) 5571.62 5169.71i 0.550594 0.510877i
\(41\) −6181.61 + 7751.49i −0.574304 + 0.720154i −0.981130 0.193351i \(-0.938064\pi\)
0.406826 + 0.913506i \(0.366636\pi\)
\(42\) −1589.93 + 8779.98i −0.139076 + 0.768016i
\(43\) 12687.6 + 15909.8i 1.04643 + 1.31218i 0.948428 + 0.316991i \(0.102673\pi\)
0.0979984 + 0.995187i \(0.468756\pi\)
\(44\) 10584.7 + 1595.39i 0.824227 + 0.124232i
\(45\) 10050.5 6852.31i 0.739872 0.504436i
\(46\) 1799.47 + 4584.98i 0.125386 + 0.319479i
\(47\) 26412.8 8147.27i 1.74409 0.537981i 0.751528 0.659701i \(-0.229317\pi\)
0.992565 + 0.121719i \(0.0388408\pi\)
\(48\) −12272.5 −0.768827
\(49\) −2243.55 + 16656.6i −0.133489 + 0.991050i
\(50\) −24691.8 −1.39678
\(51\) −705.809 + 217.713i −0.0379981 + 0.0117209i
\(52\) −640.261 1631.36i −0.0328359 0.0836644i
\(53\) 9744.95 6643.99i 0.476530 0.324892i −0.301124 0.953585i \(-0.597362\pi\)
0.777654 + 0.628692i \(0.216410\pi\)
\(54\) −26738.4 4030.16i −1.24782 0.188078i
\(55\) 28705.4 + 35995.4i 1.27955 + 1.60450i
\(56\) −12128.4 + 549.252i −0.516814 + 0.0234046i
\(57\) −15099.9 + 18934.6i −0.615582 + 0.771916i
\(58\) 29484.8 27357.9i 1.15087 1.06785i
\(59\) 772.611 116.452i 0.0288955 0.00435530i −0.134579 0.990903i \(-0.542968\pi\)
0.163474 + 0.986548i \(0.447730\pi\)
\(60\) 10833.5 + 10052.0i 0.388499 + 0.360475i
\(61\) −8393.82 5722.81i −0.288825 0.196918i 0.410236 0.911979i \(-0.365446\pi\)
−0.699061 + 0.715062i \(0.746399\pi\)
\(62\) −10649.3 + 46657.5i −0.351836 + 1.54149i
\(63\) −19324.8 2023.78i −0.613429 0.0642411i
\(64\) 583.885 + 2558.17i 0.0178188 + 0.0780691i
\(65\) 2753.81 7016.60i 0.0808446 0.205989i
\(66\) 2917.71 38934.1i 0.0824483 1.10020i
\(67\) 17776.9 30790.6i 0.483805 0.837974i −0.516022 0.856575i \(-0.672588\pi\)
0.999827 + 0.0186008i \(0.00592116\pi\)
\(68\) 722.161 + 1250.82i 0.0189392 + 0.0328036i
\(69\) 6004.16 2891.45i 0.151820 0.0731127i
\(70\) 57264.2 + 48502.1i 1.39681 + 1.18308i
\(71\) −75982.6 36591.3i −1.78883 0.861454i −0.946658 0.322240i \(-0.895564\pi\)
−0.842169 0.539214i \(-0.818722\pi\)
\(72\) −1048.91 13996.7i −0.0238455 0.318197i
\(73\) 2966.48 + 915.037i 0.0651529 + 0.0200970i 0.327160 0.944969i \(-0.393908\pi\)
−0.262007 + 0.965066i \(0.584384\pi\)
\(74\) 44783.4 + 13813.8i 0.950687 + 0.293248i
\(75\) 2496.58 + 33314.5i 0.0512497 + 0.683880i
\(76\) 42667.2 + 20547.4i 0.847344 + 0.408059i
\(77\) 2172.44 73510.0i 0.0417562 1.41293i
\(78\) −5759.14 + 2773.46i −0.107182 + 0.0516160i
\(79\) 35537.0 + 61551.9i 0.640639 + 1.10962i 0.985290 + 0.170888i \(0.0546637\pi\)
−0.344652 + 0.938731i \(0.612003\pi\)
\(80\) −51608.3 + 89388.2i −0.901560 + 1.56155i
\(81\) −12.3316 + 164.554i −0.000208837 + 0.00278674i
\(82\) 25834.5 65825.3i 0.424293 1.08108i
\(83\) −6679.05 29262.8i −0.106419 0.466252i −0.999854 0.0170606i \(-0.994569\pi\)
0.893435 0.449192i \(-0.148288\pi\)
\(84\) −2827.31 23436.8i −0.0437195 0.362410i
\(85\) −1382.33 + 6056.39i −0.0207522 + 0.0909215i
\(86\) −119918. 81759.0i −1.74840 1.19204i
\(87\) −39892.7 37015.0i −0.565061 0.524300i
\(88\) 52531.2 7917.80i 0.723120 0.108993i
\(89\) 25021.1 23216.2i 0.334835 0.310682i −0.494779 0.869019i \(-0.664751\pi\)
0.829614 + 0.558337i \(0.188560\pi\)
\(90\) −54093.0 + 67830.5i −0.703939 + 0.882711i
\(91\) −10600.5 + 5709.51i −0.134191 + 0.0722762i
\(92\) −8124.78 10188.2i −0.100079 0.125495i
\(93\) 64027.4 + 9650.58i 0.767642 + 0.115703i
\(94\) −162887. + 111054.i −1.90137 + 1.29633i
\(95\) 74414.9 + 189606.i 0.845962 + 2.15548i
\(96\) 56008.3 17276.3i 0.620260 0.191325i
\(97\) −14961.9 −0.161457 −0.0807284 0.996736i \(-0.525725\pi\)
−0.0807284 + 0.996736i \(0.525725\pi\)
\(98\) −19726.1 118238.i −0.207480 1.24364i
\(99\) 85021.8 0.871851
\(100\) 62424.2 19255.3i 0.624242 0.192553i
\(101\) −35861.4 91373.4i −0.349804 0.891285i −0.992171 0.124888i \(-0.960143\pi\)
0.642367 0.766397i \(-0.277952\pi\)
\(102\) 4352.70 2967.62i 0.0414246 0.0282428i
\(103\) −116582. 17572.0i −1.08278 0.163203i −0.416670 0.909058i \(-0.636803\pi\)
−0.666108 + 0.745855i \(0.732041\pi\)
\(104\) −5422.83 6800.02i −0.0491635 0.0616491i
\(105\) 59649.6 82165.5i 0.528000 0.727304i
\(106\) −52448.5 + 65768.3i −0.453386 + 0.568528i
\(107\) −14904.1 + 13829.0i −0.125848 + 0.116770i −0.740586 0.671961i \(-0.765452\pi\)
0.614738 + 0.788731i \(0.289262\pi\)
\(108\) 70740.9 10662.5i 0.583595 0.0879627i
\(109\) −45434.1 42156.7i −0.366282 0.339860i 0.475463 0.879736i \(-0.342281\pi\)
−0.841745 + 0.539876i \(0.818471\pi\)
\(110\) −271312. 184978.i −2.13790 1.45760i
\(111\) 14109.8 61818.9i 0.108696 0.476227i
\(112\) 155189. 55675.2i 1.16900 0.419389i
\(113\) 12018.3 + 52655.7i 0.0885417 + 0.387927i 0.999709 0.0241093i \(-0.00767497\pi\)
−0.911168 + 0.412036i \(0.864818\pi\)
\(114\) 63106.2 160792.i 0.454789 1.15878i
\(115\) 4188.47 55891.3i 0.0295332 0.394094i
\(116\) −53207.0 + 92157.2i −0.367133 + 0.635893i
\(117\) −6959.88 12054.9i −0.0470043 0.0814138i
\(118\) −5020.86 + 2417.92i −0.0331950 + 0.0159859i
\(119\) 7937.50 5955.02i 0.0513826 0.0385492i
\(120\) 66081.8 + 31823.3i 0.418918 + 0.201740i
\(121\) 12012.6 + 160297.i 0.0745887 + 0.995316i
\(122\) 69238.5 + 21357.2i 0.421161 + 0.129911i
\(123\) −91424.2 28200.6i −0.544877 0.168072i
\(124\) −9461.93 126261.i −0.0552619 0.737418i
\(125\) 24640.6 + 11866.3i 0.141051 + 0.0679265i
\(126\) 135962. 26833.3i 0.762939 0.150573i
\(127\) −92535.3 + 44562.7i −0.509094 + 0.245167i −0.670754 0.741680i \(-0.734029\pi\)
0.161660 + 0.986847i \(0.448315\pi\)
\(128\) 87824.0 + 152116.i 0.473792 + 0.820633i
\(129\) −98185.2 + 170062.i −0.519483 + 0.899772i
\(130\) −4017.55 + 53610.5i −0.0208498 + 0.278222i
\(131\) 464.351 1183.15i 0.00236411 0.00602366i −0.929687 0.368351i \(-0.879922\pi\)
0.932051 + 0.362327i \(0.118018\pi\)
\(132\) 22985.4 + 100706.i 0.114820 + 0.503060i
\(133\) 105044. 307936.i 0.514922 1.50949i
\(134\) −56427.1 + 247223.i −0.271472 + 1.18940i
\(135\) 254233. + 173333.i 1.20060 + 0.818554i
\(136\) 5254.57 + 4875.53i 0.0243607 + 0.0226034i
\(137\) 31373.7 4728.82i 0.142812 0.0215254i −0.0772473 0.997012i \(-0.524613\pi\)
0.220059 + 0.975487i \(0.429375\pi\)
\(138\) −34842.3 + 32328.9i −0.155743 + 0.144509i
\(139\) −157060. + 196947.i −0.689491 + 0.864594i −0.996190 0.0872127i \(-0.972204\pi\)
0.306699 + 0.951807i \(0.400775\pi\)
\(140\) −182595. 77963.6i −0.787350 0.336180i
\(141\) 166305. + 208540.i 0.704461 + 0.883367i
\(142\) 594780. + 89648.6i 2.47534 + 0.373098i
\(143\) 43530.1 29678.3i 0.178012 0.121367i
\(144\) 69637.7 + 177434.i 0.279858 + 0.713067i
\(145\) −437361. + 134908.i −1.72751 + 0.532866i
\(146\) −22141.5 −0.0859656
\(147\) −157534. + 38569.6i −0.601285 + 0.147215i
\(148\) −123991. −0.465302
\(149\) −357336. + 110224.i −1.31859 + 0.406732i −0.872658 0.488333i \(-0.837605\pi\)
−0.445936 + 0.895065i \(0.647129\pi\)
\(150\) −87051.7 221804.i −0.315900 0.804899i
\(151\) 196816. 134187.i 0.702453 0.478924i −0.158663 0.987333i \(-0.550718\pi\)
0.861116 + 0.508408i \(0.169766\pi\)
\(152\) 232404. + 35029.3i 0.815897 + 0.122977i
\(153\) 7152.65 + 8969.14i 0.0247023 + 0.0309758i
\(154\) 139733. + 505570.i 0.474784 + 1.71783i
\(155\) 339540. 425770.i 1.13517 1.42346i
\(156\) 12397.0 11502.8i 0.0407856 0.0378435i
\(157\) −410935. + 61938.4i −1.33053 + 0.200545i −0.775531 0.631309i \(-0.782518\pi\)
−0.554995 + 0.831854i \(0.687280\pi\)
\(158\) −371600. 344794.i −1.18422 1.09880i
\(159\) 94038.3 + 64114.2i 0.294993 + 0.201123i
\(160\) 109693. 480594.i 0.338748 1.48415i
\(161\) −62807.1 + 63801.7i −0.190961 + 0.193985i
\(162\) −261.894 1147.43i −0.000784040 0.00343510i
\(163\) 243075. 619346.i 0.716592 1.82585i 0.176369 0.984324i \(-0.443565\pi\)
0.540223 0.841522i \(-0.318340\pi\)
\(164\) −13980.8 + 186561.i −0.0405904 + 0.541641i
\(165\) −222141. + 384760.i −0.635213 + 1.10022i
\(166\) 107039. + 185398.i 0.301490 + 0.522196i
\(167\) −164075. + 79014.5i −0.455252 + 0.219238i −0.647434 0.762121i \(-0.724158\pi\)
0.192182 + 0.981359i \(0.438444\pi\)
\(168\) −47692.9 107012.i −0.130371 0.292522i
\(169\) 326752. + 157356.i 0.880038 + 0.423804i
\(170\) −3311.06 44183.0i −0.00878707 0.117255i
\(171\) 359436. + 110871.i 0.940007 + 0.289954i
\(172\) 366927. + 113182.i 0.945712 + 0.291713i
\(173\) −38863.2 518594.i −0.0987242 1.31738i −0.798055 0.602585i \(-0.794138\pi\)
0.699331 0.714798i \(-0.253481\pi\)
\(174\) 349702. + 168408.i 0.875639 + 0.421685i
\(175\) −182704. 409946.i −0.450976 1.01189i
\(176\) −649992. + 313019.i −1.58171 + 0.761710i
\(177\) 3769.93 + 6529.72i 0.00904484 + 0.0156661i
\(178\) −121723. + 210830.i −0.287953 + 0.498749i
\(179\) 18348.6 244845.i 0.0428025 0.571160i −0.934036 0.357180i \(-0.883738\pi\)
0.976838 0.213980i \(-0.0686427\pi\)
\(180\) 83858.3 213667.i 0.192914 0.491538i
\(181\) −109299. 478872.i −0.247983 1.08648i −0.933542 0.358467i \(-0.883300\pi\)
0.685560 0.728016i \(-0.259558\pi\)
\(182\) 60244.1 61198.1i 0.134814 0.136949i
\(183\) 21814.7 95576.6i 0.0481529 0.210972i
\(184\) −53435.1 36431.4i −0.116354 0.0793289i
\(185\) −390932. 362732.i −0.839792 0.779213i
\(186\) −456663. + 68830.9i −0.967862 + 0.145882i
\(187\) −31829.1 + 29533.1i −0.0665611 + 0.0617596i
\(188\) 325196. 407783.i 0.671043 0.841462i
\(189\) −130937. 473744.i −0.266628 0.964693i
\(190\) −905776. 1.13581e6i −1.82027 2.28255i
\(191\) −528014. 79585.3i −1.04728 0.157852i −0.397210 0.917728i \(-0.630022\pi\)
−0.650068 + 0.759876i \(0.725260\pi\)
\(192\) −20921.2 + 14263.9i −0.0409576 + 0.0279244i
\(193\) 43203.8 + 110082.i 0.0834890 + 0.212726i 0.966522 0.256585i \(-0.0825974\pi\)
−0.883033 + 0.469312i \(0.844502\pi\)
\(194\) 101972. 31454.0i 0.194525 0.0600029i
\(195\) 72738.0 0.136986
\(196\) 142075. + 283539.i 0.264167 + 0.527197i
\(197\) 87843.5 0.161266 0.0806332 0.996744i \(-0.474306\pi\)
0.0806332 + 0.996744i \(0.474306\pi\)
\(198\) −579460. + 178740.i −1.05041 + 0.324010i
\(199\) 126375. + 321998.i 0.226219 + 0.576396i 0.998247 0.0591929i \(-0.0188527\pi\)
−0.772028 + 0.635589i \(0.780757\pi\)
\(200\) 267876. 182635.i 0.473542 0.322855i
\(201\) 339261. + 51135.4i 0.592303 + 0.0892754i
\(202\) 436504. + 547359.i 0.752679 + 0.943830i
\(203\) 672377. + 287089.i 1.14518 + 0.488964i
\(204\) −8689.97 + 10896.9i −0.0146198 + 0.0183327i
\(205\) −589861. + 547311.i −0.980314 + 0.909598i
\(206\) 831500. 125328.i 1.36519 0.205770i
\(207\) −75873.6 70400.4i −0.123074 0.114196i
\(208\) 97590.0 + 66535.7i 0.156404 + 0.106634i
\(209\) −316797. + 1.38798e6i −0.501666 + 2.19794i
\(210\) −233803. + 685394.i −0.365848 + 1.07249i
\(211\) −35957.8 157541.i −0.0556015 0.243606i 0.939488 0.342581i \(-0.111301\pi\)
−0.995090 + 0.0989744i \(0.968444\pi\)
\(212\) 81308.8 207172.i 0.124250 0.316585i
\(213\) 60817.0 811547.i 0.0918494 1.22564i
\(214\) 72505.5 125583.i 0.108227 0.187455i
\(215\) 825779. + 1.43029e6i 1.21834 + 2.11022i
\(216\) 319887. 154050.i 0.466512 0.224660i
\(217\) −853427. + 168432.i −1.23032 + 0.242815i
\(218\) 398278. + 191801.i 0.567604 + 0.273344i
\(219\) 2238.71 + 29873.5i 0.00315419 + 0.0420897i
\(220\) 830163. + 256071.i 1.15640 + 0.356701i
\(221\) 6792.90 + 2095.33i 0.00935566 + 0.00288584i
\(222\) 33796.7 + 450985.i 0.0460248 + 0.614158i
\(223\) −1.00238e6 482720.i −1.34980 0.650030i −0.387463 0.921885i \(-0.626649\pi\)
−0.962338 + 0.271855i \(0.912363\pi\)
\(224\) −629866. + 472550.i −0.838742 + 0.629257i
\(225\) 467490. 225132.i 0.615625 0.296470i
\(226\) −192607. 333606.i −0.250843 0.434473i
\(227\) 199283. 345167.i 0.256687 0.444596i −0.708665 0.705545i \(-0.750702\pi\)
0.965352 + 0.260949i \(0.0840356\pi\)
\(228\) −34151.1 + 455715.i −0.0435078 + 0.580572i
\(229\) −13843.7 + 35273.2i −0.0174447 + 0.0444484i −0.939331 0.343013i \(-0.888553\pi\)
0.921886 + 0.387461i \(0.126648\pi\)
\(230\) 88953.0 + 389729.i 0.110877 + 0.485783i
\(231\) 667991. 239647.i 0.823647 0.295489i
\(232\) −117519. + 514884.i −0.143347 + 0.628043i
\(233\) −791188. 539423.i −0.954750 0.650938i −0.0175932 0.999845i \(-0.505600\pi\)
−0.937157 + 0.348907i \(0.886553\pi\)
\(234\) 72777.4 + 67527.5i 0.0868874 + 0.0806197i
\(235\) 2.21828e6 334351.i 2.62027 0.394942i
\(236\) 10807.8 10028.2i 0.0126316 0.0117204i
\(237\) −427627. + 536228.i −0.494532 + 0.620124i
\(238\) −41578.4 + 57272.9i −0.0475800 + 0.0655401i
\(239\) 248189. + 311219.i 0.281053 + 0.352429i 0.902241 0.431233i \(-0.141921\pi\)
−0.621188 + 0.783661i \(0.713350\pi\)
\(240\) −984911. 148451.i −1.10375 0.166363i
\(241\) −102749. + 70053.0i −0.113955 + 0.0776934i −0.618957 0.785425i \(-0.712444\pi\)
0.505001 + 0.863119i \(0.331492\pi\)
\(242\) −418860. 1.06724e6i −0.459759 1.17145i
\(243\) 878824. 271081.i 0.954743 0.294499i
\(244\) −191699. −0.206132
\(245\) −381536. + 1.30961e6i −0.406088 + 1.39389i
\(246\) 682381. 0.718934
\(247\) 222728. 68702.6i 0.232291 0.0716524i
\(248\) −229573. 584943.i −0.237024 0.603927i
\(249\) 239318. 163164.i 0.244611 0.166773i
\(250\) −192882. 29072.3i −0.195183 0.0294191i
\(251\) −799151. 1.00210e6i −0.800654 1.00399i −0.999712 0.0240004i \(-0.992360\pi\)
0.199058 0.979988i \(-0.436212\pi\)
\(252\) −322803. + 173864.i −0.320211 + 0.172468i
\(253\) 244252. 306282.i 0.239903 0.300829i
\(254\) 536985. 498249.i 0.522249 0.484576i
\(255\) −59277.3 + 8934.62i −0.0570871 + 0.00860450i
\(256\) −979900. 909214.i −0.934505 0.867094i
\(257\) −1.08933e6 742695.i −1.02879 0.701420i −0.0735656 0.997290i \(-0.523438\pi\)
−0.955228 + 0.295871i \(0.904390\pi\)
\(258\) 311657. 1.36546e6i 0.291492 1.27711i
\(259\) 102025. + 845729.i 0.0945054 + 0.783397i
\(260\) −31649.9 138667.i −0.0290361 0.127216i
\(261\) −308795. + 786798.i −0.280588 + 0.714927i
\(262\) −677.444 + 9039.86i −0.000609705 + 0.00813595i
\(263\) 204410. 354049.i 0.182227 0.315627i −0.760411 0.649442i \(-0.775003\pi\)
0.942639 + 0.333815i \(0.108336\pi\)
\(264\) 256325. + 443967.i 0.226350 + 0.392050i
\(265\) 862436. 415327.i 0.754418 0.363309i
\(266\) −68549.6 + 2.31955e6i −0.0594020 + 2.01002i
\(267\) 296761. + 142912.i 0.254758 + 0.122685i
\(268\) −50135.8 669016.i −0.0426394 0.568983i
\(269\) 1.50189e6 + 463272.i 1.26549 + 0.390351i 0.853622 0.520894i \(-0.174401\pi\)
0.411865 + 0.911245i \(0.364877\pi\)
\(270\) −2.09710e6 646871.i −1.75069 0.540018i
\(271\) 157545. + 2.10230e6i 0.130311 + 1.73888i 0.553506 + 0.832845i \(0.313289\pi\)
−0.423195 + 0.906039i \(0.639092\pi\)
\(272\) −87703.1 42235.6i −0.0718775 0.0346144i
\(273\) −88660.3 75094.2i −0.0719983 0.0609817i
\(274\) −203884. + 98185.3i −0.164061 + 0.0790078i
\(275\) 981940. + 1.70077e6i 0.782985 + 1.35617i
\(276\) 62874.9 108903.i 0.0496827 0.0860529i
\(277\) −114498. + 1.52788e6i −0.0896603 + 1.19643i 0.753012 + 0.658007i \(0.228600\pi\)
−0.842672 + 0.538427i \(0.819019\pi\)
\(278\) 656393. 1.67246e6i 0.509392 1.29791i
\(279\) −223784. 980461.i −0.172115 0.754084i
\(280\) −979994. 102629.i −0.747013 0.0782306i
\(281\) 378630. 1.65889e6i 0.286055 1.25329i −0.603834 0.797110i \(-0.706361\pi\)
0.889889 0.456177i \(-0.150782\pi\)
\(282\) −1.57185e6 1.07167e6i −1.17703 0.802487i
\(283\) −448105. 415780.i −0.332593 0.308601i 0.496143 0.868241i \(-0.334749\pi\)
−0.828736 + 0.559639i \(0.810940\pi\)
\(284\) −1.57359e6 + 237181.i −1.15770 + 0.174495i
\(285\) −1.44086e6 + 1.33692e6i −1.05077 + 0.974976i
\(286\) −234284. + 293783.i −0.169367 + 0.212379i
\(287\) 1.28402e6 58148.7i 0.920169 0.0416711i
\(288\) −567586. 711730.i −0.403228 0.505631i
\(289\) 1.39821e6 + 210746.i 0.984751 + 0.148427i
\(290\) 2.69719e6 1.83891e6i 1.88329 1.28400i
\(291\) −52748.4 134401.i −0.0365154 0.0930398i
\(292\) 55976.6 17266.5i 0.0384193 0.0118508i
\(293\) −588908. −0.400755 −0.200377 0.979719i \(-0.564217\pi\)
−0.200377 + 0.979719i \(0.564217\pi\)
\(294\) 992577. 594050.i 0.669724 0.400825i
\(295\) 63413.5 0.0424255
\(296\) −588019. + 181380.i −0.390087 + 0.120326i
\(297\) 785729. + 2.00201e6i 0.516871 + 1.31696i
\(298\) 2.20368e6 1.50244e6i 1.43750 0.980070i
\(299\) −63420.8 9559.15i −0.0410255 0.00618360i
\(300\) 393046. + 492865.i 0.252139 + 0.316173i
\(301\) 470081. 2.59591e6i 0.299059 1.65148i
\(302\) −1.05929e6 + 1.32830e6i −0.668337 + 0.838069i
\(303\) 694367. 644279.i 0.434493 0.403150i
\(304\) −3.15608e6 + 475702.i −1.95868 + 0.295223i
\(305\) −604410. 560811.i −0.372033 0.345197i
\(306\) −67604.0 46091.7i −0.0412733 0.0281397i
\(307\) 126025. 552151.i 0.0763151 0.334358i −0.922330 0.386404i \(-0.873717\pi\)
0.998645 + 0.0520457i \(0.0165742\pi\)
\(308\) −747519. 1.16918e6i −0.448999 0.702270i
\(309\) −253167. 1.10920e6i −0.150838 0.660864i
\(310\) −1.41902e6 + 3.61562e6i −0.838660 + 2.13687i
\(311\) −150441. + 2.00749e6i −0.0881993 + 1.17694i 0.760959 + 0.648800i \(0.224729\pi\)
−0.849159 + 0.528138i \(0.822890\pi\)
\(312\) 41965.5 72686.3i 0.0244065 0.0422733i
\(313\) 752923. + 1.30410e6i 0.434400 + 0.752403i 0.997246 0.0741586i \(-0.0236271\pi\)
−0.562846 + 0.826561i \(0.690294\pi\)
\(314\) 2.67048e6 1.28604e6i 1.52850 0.736088i
\(315\) −1.52641e6 396175.i −0.866751 0.224963i
\(316\) 1.20833e6 + 581902.i 0.680720 + 0.327817i
\(317\) −51958.0 693332.i −0.0290405 0.387519i −0.992719 0.120454i \(-0.961565\pi\)
0.963678 0.267065i \(-0.0860540\pi\)
\(318\) −775698. 239271.i −0.430155 0.132685i
\(319\) −3.05695e6 942944.i −1.68194 0.518811i
\(320\) 15914.6 + 212365.i 0.00868800 + 0.115933i
\(321\) −176769. 85127.5i −0.0957511 0.0461113i
\(322\) 293928. 566874.i 0.157980 0.304682i
\(323\) −173072. + 83347.1i −0.0923040 + 0.0444513i
\(324\) 1556.90 + 2696.63i 0.000823944 + 0.00142711i
\(325\) 160763. 278450.i 0.0844265 0.146231i
\(326\) −354624. + 4.73212e6i −0.184809 + 2.46611i
\(327\) 218510. 556754.i 0.113006 0.287935i
\(328\) 206608. + 905208.i 0.106038 + 0.464583i
\(329\) −3.04904e6 1.88259e6i −1.55300 0.958885i
\(330\) 705115. 3.08931e6i 0.356431 1.56162i
\(331\) 2.36340e6 + 1.61134e6i 1.18568 + 0.808383i 0.985216 0.171319i \(-0.0548027\pi\)
0.200464 + 0.979701i \(0.435755\pi\)
\(332\) −415187. 385237.i −0.206728 0.191815i
\(333\) −973833. + 146782.i −0.481254 + 0.0725373i
\(334\) 952133. 883451.i 0.467016 0.433327i
\(335\) 1.79912e6 2.25602e6i 0.875886 1.09833i
\(336\) 1.04725e6 + 1.19776e6i 0.506059 + 0.578792i
\(337\) 1.16655e6 + 1.46281e6i 0.559536 + 0.701636i 0.978472 0.206380i \(-0.0661682\pi\)
−0.418936 + 0.908016i \(0.637597\pi\)
\(338\) −2.55776e6 385521.i −1.21778 0.183551i
\(339\) −430630. + 293598.i −0.203519 + 0.138757i
\(340\) 42825.8 + 109118.i 0.0200913 + 0.0511918i
\(341\) 3.63726e6 1.12194e6i 1.69390 0.522499i
\(342\) −2.68279e6 −1.24029
\(343\) 1.81709e6 1.20239e6i 0.833952 0.551837i
\(344\) 1.90570e6 0.868277
\(345\) 516832. 159421.i 0.233777 0.0721106i
\(346\) 1.35510e6 + 3.45274e6i 0.608529 + 1.55051i
\(347\) −332305. + 226562.i −0.148154 + 0.101010i −0.635128 0.772407i \(-0.719053\pi\)
0.486974 + 0.873416i \(0.338100\pi\)
\(348\) −1.01542e6 153050.i −0.449467 0.0677463i
\(349\) −952697. 1.19464e6i −0.418689 0.525019i 0.527099 0.849804i \(-0.323280\pi\)
−0.945788 + 0.324785i \(0.894708\pi\)
\(350\) 2.10703e6 + 2.40986e6i 0.919392 + 1.05153i
\(351\) 219536. 275289.i 0.0951126 0.119267i
\(352\) 2.52574e6 2.34355e6i 1.08651 1.00813i
\(353\) −907820. + 136832.i −0.387760 + 0.0584454i −0.340029 0.940415i \(-0.610437\pi\)
−0.0477307 + 0.998860i \(0.515199\pi\)
\(354\) −39421.1 36577.4i −0.0167194 0.0155133i
\(355\) −5.65527e6 3.85569e6i −2.38167 1.62380i
\(356\) 143320. 627927.i 0.0599353 0.262594i
\(357\) 81477.1 + 50307.1i 0.0338349 + 0.0208910i
\(358\) 389679. + 1.70730e6i 0.160694 + 0.704046i
\(359\) −437249. + 1.11409e6i −0.179058 + 0.456231i −0.992019 0.126086i \(-0.959759\pi\)
0.812962 + 0.582317i \(0.197854\pi\)
\(360\) 85129.8 1.13598e6i 0.0346198 0.461970i
\(361\) −1.91120e6 + 3.31030e6i −0.771859 + 1.33690i
\(362\) 1.75165e6 + 3.03394e6i 0.702547 + 1.21685i
\(363\) −1.39758e6 + 673038.i −0.556684 + 0.268085i
\(364\) −104581. + 201697.i −0.0413713 + 0.0797894i
\(365\) 227002. + 109318.i 0.0891862 + 0.0429498i
\(366\) 52252.2 + 697257.i 0.0203893 + 0.272076i
\(367\) 148056. + 45669.3i 0.0573801 + 0.0176994i 0.323312 0.946292i \(-0.395204\pi\)
−0.265932 + 0.963992i \(0.585680\pi\)
\(368\) 839243. + 258872.i 0.323049 + 0.0996473i
\(369\) 111047. + 1.48182e6i 0.0424562 + 0.566538i
\(370\) 3.42694e6 + 1.65033e6i 1.30137 + 0.626708i
\(371\) −1.48000e6 384131.i −0.558249 0.144892i
\(372\) 1.10083e6 530131.i 0.412441 0.198621i
\(373\) −1.39328e6 2.41322e6i −0.518519 0.898101i −0.999768 0.0215177i \(-0.993150\pi\)
0.481249 0.876584i \(-0.340183\pi\)
\(374\) 154842. 268194.i 0.0572414 0.0991450i
\(375\) −19722.5 + 263178.i −0.00724242 + 0.0966433i
\(376\) 945698. 2.40960e6i 0.344971 0.878973i
\(377\) 116546. + 510621.i 0.0422322 + 0.185031i
\(378\) 1.88833e6 + 2.95350e6i 0.679750 + 1.06318i
\(379\) −1.14831e6 + 5.03107e6i −0.410640 + 1.79913i 0.170536 + 0.985352i \(0.445450\pi\)
−0.581175 + 0.813778i \(0.697407\pi\)
\(380\) 3.17565e6 + 2.16512e6i 1.12817 + 0.769171i
\(381\) −726537. 674128.i −0.256416 0.237919i
\(382\) 3.76596e6 567627.i 1.32043 0.199023i
\(383\) −3.04531e6 + 2.82563e6i −1.06080 + 0.984280i −0.999904 0.0138641i \(-0.995587\pi\)
−0.0608976 + 0.998144i \(0.519396\pi\)
\(384\) −1.05681e6 + 1.32520e6i −0.365738 + 0.458620i
\(385\) 1.06355e6 5.87317e6i 0.365683 2.01939i
\(386\) −525876. 659427.i −0.179645 0.225267i
\(387\) 3.01586e6 + 454568.i 1.02361 + 0.154284i
\(388\) −233269. + 159040.i −0.0786642 + 0.0536323i
\(389\) 109511. + 279028.i 0.0366929 + 0.0934920i 0.948046 0.318134i \(-0.103056\pi\)
−0.911353 + 0.411626i \(0.864961\pi\)
\(390\) −495741. + 152916.i −0.165041 + 0.0509086i
\(391\) 52858.6 0.0174853
\(392\) 1.08856e6 + 1.13683e6i 0.357797 + 0.373664i
\(393\) 12265.2 0.00400582
\(394\) −598691. + 184672.i −0.194295 + 0.0599322i
\(395\) 2.10743e6 + 5.36963e6i 0.679610 + 1.73162i
\(396\) 1.32557e6 903755.i 0.424779 0.289609i
\(397\) −4.43457e6 668403.i −1.41213 0.212844i −0.601720 0.798707i \(-0.705518\pi\)
−0.810411 + 0.585862i \(0.800756\pi\)
\(398\) −1.53823e6 1.92888e6i −0.486759 0.610376i
\(399\) 3.13649e6 142040.i 0.986306 0.0446662i
\(400\) −2.74511e6 + 3.44226e6i −0.857848 + 1.07571i
\(401\) −1.25315e6 + 1.16275e6i −0.389173 + 0.361099i −0.850358 0.526204i \(-0.823615\pi\)
0.461186 + 0.887304i \(0.347424\pi\)
\(402\) −2.41971e6 + 364713.i −0.746791 + 0.112561i
\(403\) −456822. 423868.i −0.140115 0.130008i
\(404\) −1.53038e6 1.04340e6i −0.466495 0.318051i
\(405\) −2980.15 + 13056.9i −0.000902820 + 0.00395551i
\(406\) −5.18608e6 543110.i −1.56144 0.163521i
\(407\) −829441. 3.63402e6i −0.248199 1.08743i
\(408\) −25271.2 + 64390.0i −0.00751580 + 0.0191500i
\(409\) 236553. 3.15658e6i 0.0699230 0.933058i −0.846382 0.532576i \(-0.821224\pi\)
0.916305 0.400481i \(-0.131157\pi\)
\(410\) 2.86956e6 4.97022e6i 0.843053 1.46021i
\(411\) 153087. + 265155.i 0.0447027 + 0.0774274i
\(412\) −2.00441e6 + 965271.i −0.581759 + 0.280160i
\(413\) −77294.7 65467.6i −0.0222984 0.0188865i
\(414\) 665113. + 320302.i 0.190719 + 0.0918456i
\(415\) −182046. 2.42924e6i −0.0518874 0.692389i
\(416\) −539039. 166271.i −0.152717 0.0471069i
\(417\) −2.32287e6 716511.i −0.654161 0.201782i
\(418\) −758813. 1.01257e7i −0.212419 2.83454i
\(419\) −1.80713e6 870268.i −0.502868 0.242169i 0.165212 0.986258i \(-0.447169\pi\)
−0.668080 + 0.744090i \(0.732884\pi\)
\(420\) 56596.6 1.91509e6i 0.0156555 0.529744i
\(421\) −989498. + 476517.i −0.272088 + 0.131031i −0.564953 0.825123i \(-0.691106\pi\)
0.292865 + 0.956154i \(0.405391\pi\)
\(422\) 576264. + 998119.i 0.157522 + 0.272836i
\(423\) 2.07138e6 3.58773e6i 0.562871 0.974921i
\(424\) 82541.7 1.10144e6i 0.0222976 0.297541i
\(425\) −96810.1 + 246668.i −0.0259985 + 0.0662431i
\(426\) 1.29161e6 + 5.65890e6i 0.344831 + 1.51080i
\(427\) 157738. + 1.30756e6i 0.0418665 + 0.347050i
\(428\) −85370.4 + 374032.i −0.0225267 + 0.0986960i
\(429\) 420063. + 286394.i 0.110197 + 0.0751314i
\(430\) −8.63491e6 8.01203e6i −2.25210 2.08964i
\(431\) 5.76678e6 869202.i 1.49534 0.225386i 0.650131 0.759822i \(-0.274714\pi\)
0.845209 + 0.534435i \(0.179476\pi\)
\(432\) −3.53447e6 + 3.27951e6i −0.911204 + 0.845474i
\(433\) −3.72824e6 + 4.67506e6i −0.955616 + 1.19831i 0.0244633 + 0.999701i \(0.492212\pi\)
−0.980080 + 0.198604i \(0.936359\pi\)
\(434\) 5.46238e6 2.94208e6i 1.39206 0.749774i
\(435\) −2.75379e6 3.45314e6i −0.697763 0.874967i
\(436\) −1.15647e6 174310.i −0.291352 0.0439143i
\(437\) 1.43199e6 976317.i 0.358705 0.244561i
\(438\) −78060.3 198895.i −0.0194422 0.0495379i
\(439\) 338535. 104424.i 0.0838383 0.0258607i −0.252552 0.967583i \(-0.581270\pi\)
0.336391 + 0.941723i \(0.390794\pi\)
\(440\) 4.31159e6 1.06171
\(441\) 1.45153e6 + 2.05875e6i 0.355410 + 0.504089i
\(442\) −50701.5 −0.0123443
\(443\) 5.95656e6 1.83736e6i 1.44207 0.444820i 0.527606 0.849489i \(-0.323090\pi\)
0.914463 + 0.404669i \(0.132613\pi\)
\(444\) −437132. 1.11379e6i −0.105234 0.268131i
\(445\) 2.28886e6 1.56052e6i 0.547924 0.373568i
\(446\) 7.84646e6 + 1.18266e6i 1.86783 + 0.281530i
\(447\) −2.24992e6 2.82131e6i −0.532597 0.667855i
\(448\) 199846. 275282.i 0.0470436 0.0648011i
\(449\) 1.63276e6 2.04741e6i 0.382213 0.479280i −0.553093 0.833119i \(-0.686553\pi\)
0.935306 + 0.353839i \(0.115124\pi\)
\(450\) −2.71286e6 + 2.51717e6i −0.631533 + 0.585977i
\(451\) −5.56141e6 + 838248.i −1.28749 + 0.194058i
\(452\) 747091. + 693199.i 0.171999 + 0.159592i
\(453\) 1.89926e6 + 1.29489e6i 0.434850 + 0.296476i
\(454\) −632557. + 2.77141e6i −0.144032 + 0.631047i
\(455\) −919794. + 329983.i −0.208287 + 0.0747244i
\(456\) 504683. + 2.21116e6i 0.113660 + 0.497976i
\(457\) 2.27545e6 5.79775e6i 0.509655 1.29858i −0.412217 0.911086i \(-0.635245\pi\)
0.921872 0.387494i \(-0.126659\pi\)
\(458\) 20196.7 269506.i 0.00449900 0.0600350i
\(459\) −145095. + 251312.i −0.0321455 + 0.0556776i
\(460\) −528805. 915917.i −0.116520 0.201819i
\(461\) −3.60803e6 + 1.73754e6i −0.790712 + 0.380787i −0.785235 0.619198i \(-0.787458\pi\)
−0.00547718 + 0.999985i \(0.501743\pi\)
\(462\) −4.04885e6 + 3.03760e6i −0.882524 + 0.662104i
\(463\) 2.46012e6 + 1.18473e6i 0.533340 + 0.256843i 0.681113 0.732178i \(-0.261496\pi\)
−0.147773 + 0.989021i \(0.547210\pi\)
\(464\) −535964. 7.15194e6i −0.115569 1.54216i
\(465\) 5.02170e6 + 1.54899e6i 1.07701 + 0.332213i
\(466\) 6.52631e6 + 2.01310e6i 1.39220 + 0.429438i
\(467\) −128289. 1.71190e6i −0.0272207 0.363235i −0.994136 0.108137i \(-0.965511\pi\)
0.966915 0.255098i \(-0.0821076\pi\)
\(468\) −236650. 113965.i −0.0499451 0.0240523i
\(469\) −4.52204e6 + 892467.i −0.949298 + 0.187353i
\(470\) −1.44156e7 + 6.94219e6i −3.01015 + 1.44961i
\(471\) −2.00515e6 3.47301e6i −0.416479 0.721364i
\(472\) 36585.8 63368.4i 0.00755888 0.0130924i
\(473\) −862655. + 1.15113e7i −0.177290 + 2.36577i
\(474\) 1.78716e6 4.55362e6i 0.365358 0.930916i
\(475\) 1.93336e6 + 8.47062e6i 0.393169 + 1.72259i
\(476\) 60452.7 177217.i 0.0122292 0.0358499i
\(477\) 393354. 1.72340e6i 0.0791567 0.346808i
\(478\) −2.34578e6 1.59933e6i −0.469589 0.320161i
\(479\) 1.34656e6 + 1.24943e6i 0.268156 + 0.248813i 0.802777 0.596279i \(-0.203355\pi\)
−0.534621 + 0.845092i \(0.679545\pi\)
\(480\) 4.70385e6 708991.i 0.931859 0.140455i
\(481\) −447354. + 415084.i −0.0881634 + 0.0818037i
\(482\) 553007. 693448.i 0.108421 0.135955i
\(483\) −794551. 339255.i −0.154972 0.0661695i
\(484\) 1.89119e6 + 2.37148e6i 0.366963 + 0.460157i
\(485\) −1.20074e6 180983.i −0.231791 0.0349368i
\(486\) −5.41968e6 + 3.69507e6i −1.04084 + 0.709631i
\(487\) 3.08627e6 + 7.86370e6i 0.589674 + 1.50247i 0.844542 + 0.535489i \(0.179873\pi\)
−0.254868 + 0.966976i \(0.582032\pi\)
\(488\) −909121. + 280427.i −0.172811 + 0.0533052i
\(489\) 6.42048e6 1.21421
\(490\) −152845. 9.72768e6i −0.0287581 1.83029i
\(491\) −8.77369e6 −1.64240 −0.821200 0.570641i \(-0.806695\pi\)
−0.821200 + 0.570641i \(0.806695\pi\)
\(492\) −1.72515e6 + 532138.i −0.321302 + 0.0991086i
\(493\) −157699. 401812.i −0.0292222 0.0744569i
\(494\) −1.37356e6 + 936476.i −0.253238 + 0.172655i
\(495\) 6.82331e6 + 1.02845e6i 1.25165 + 0.188656i
\(496\) 5.32053e6 + 6.67173e6i 0.971071 + 1.21768i
\(497\) 2.91261e6 + 1.05382e7i 0.528921 + 1.91370i
\(498\) −1.28804e6 + 1.61515e6i −0.232731 + 0.291836i
\(499\) 450259. 417779.i 0.0809489 0.0751096i −0.638661 0.769488i \(-0.720511\pi\)
0.719610 + 0.694379i \(0.244321\pi\)
\(500\) 510303. 76915.8i 0.0912858 0.0137591i
\(501\) −1.28823e6 1.19530e6i −0.229297 0.212757i
\(502\) 7.55327e6 + 5.14973e6i 1.33775 + 0.912064i
\(503\) 1.55915e6 6.83109e6i 0.274769 1.20384i −0.629541 0.776967i \(-0.716757\pi\)
0.904310 0.426876i \(-0.140386\pi\)
\(504\) −1.27654e6 + 1.29675e6i −0.223850 + 0.227395i
\(505\) −1.77273e6 7.76685e6i −0.309325 1.35524i
\(506\) −1.02079e6 + 2.60093e6i −0.177239 + 0.451598i
\(507\) −261535. + 3.48994e6i −0.0451866 + 0.602973i
\(508\) −969021. + 1.67839e6i −0.166600 + 0.288559i
\(509\) −3.00771e6 5.20951e6i −0.514567 0.891257i −0.999857 0.0169032i \(-0.994619\pi\)
0.485290 0.874353i \(-0.338714\pi\)
\(510\) 385218. 185511.i 0.0655814 0.0315823i
\(511\) −163833. 367604.i −0.0277555 0.0622770i
\(512\) 3.52576e6 + 1.69792e6i 0.594399 + 0.286248i
\(513\) 711046. + 9.48824e6i 0.119290 + 1.59181i
\(514\) 8.98564e6 + 2.77170e6i 1.50017 + 0.462742i
\(515\) −9.14361e6 2.82043e6i −1.51915 0.468594i
\(516\) 276909. + 3.69509e6i 0.0457839 + 0.610943i
\(517\) 1.41270e7 + 6.80323e6i 2.32448 + 1.11941i
\(518\) −2.47330e6 5.54952e6i −0.404998 0.908723i
\(519\) 4.52146e6 2.17742e6i 0.736817 0.354833i
\(520\) −352947. 611323.i −0.0572402 0.0991430i
\(521\) −1.01846e6 + 1.76403e6i −0.164381 + 0.284716i −0.936435 0.350841i \(-0.885896\pi\)
0.772054 + 0.635556i \(0.219229\pi\)
\(522\) 450503. 6.01154e6i 0.0723638 0.965628i
\(523\) 501077. 1.27672e6i 0.0801032 0.204100i −0.885211 0.465189i \(-0.845986\pi\)
0.965315 + 0.261089i \(0.0840817\pi\)
\(524\) −5336.84 23382.2i −0.000849094 0.00372013i
\(525\) 3.03837e6 3.08649e6i 0.481108 0.488727i
\(526\) −648833. + 2.84272e6i −0.102251 + 0.447992i
\(527\) 424349. + 289316.i 0.0665574 + 0.0453781i
\(528\) −5.10338e6 4.73524e6i −0.796660 0.739192i
\(529\) 5.89287e6 888208.i 0.915562 0.137999i
\(530\) −5.00474e6 + 4.64372e6i −0.773912 + 0.718086i
\(531\) 73014.1 91556.8i 0.0112375 0.0140914i
\(532\) −1.63554e6 5.91758e6i −0.250543 0.906495i
\(533\) 574109. + 719910.i 0.0875339 + 0.109764i
\(534\) −2.32300e6 350135.i −0.352529 0.0531352i
\(535\) −1.36339e6 + 929543.i −0.205937 + 0.140406i
\(536\) −1.21644e6 3.09943e6i −0.182885 0.465983i
\(537\) 2.26410e6 698382.i 0.338813 0.104510i
\(538\) −1.12100e7 −1.66974
\(539\) −7.35978e6 + 6.06081e6i −1.09117 + 0.898584i
\(540\) 5.80620e6 0.856855
\(541\) 1.00859e7 3.11110e6i 1.48157 0.457005i 0.554595 0.832121i \(-0.312873\pi\)
0.926978 + 0.375116i \(0.122397\pi\)
\(542\) −5.49336e6 1.39968e7i −0.803230 2.04660i
\(543\) 3.91632e6 2.67010e6i 0.570004 0.388622i
\(544\) 459709. + 69290.1i 0.0666018 + 0.0100386i
\(545\) −3.13631e6 3.93281e6i −0.452302 0.567169i
\(546\) 762127. + 325410.i 0.109407 + 0.0467143i
\(547\) −6.52942e6 + 8.18764e6i −0.933054 + 1.17001i 0.0521527 + 0.998639i \(0.483392\pi\)
−0.985206 + 0.171373i \(0.945180\pi\)
\(548\) 438878. 407219.i 0.0624298 0.0579264i
\(549\) −1.50562e6 + 226935.i −0.213198 + 0.0321345i
\(550\) −1.02678e7 9.52717e6i −1.44735 1.34294i
\(551\) −1.16938e7 7.97273e6i −1.64089 1.11874i
\(552\) 138873. 608441.i 0.0193985 0.0849906i
\(553\) 2.97483e6 8.72074e6i 0.413666 1.21266i
\(554\) −2.43167e6 1.06538e7i −0.336612 1.47480i
\(555\) 1.88014e6 4.79052e6i 0.259094 0.660161i
\(556\) −355220. + 4.74008e6i −0.0487315 + 0.650277i
\(557\) −1.90993e6 + 3.30810e6i −0.260844 + 0.451795i −0.966466 0.256793i \(-0.917334\pi\)
0.705623 + 0.708588i \(0.250667\pi\)
\(558\) 3.58639e6 + 6.21181e6i 0.487609 + 0.844564i
\(559\) 1.70276e6 820006.i 0.230475 0.110991i
\(560\) 1.31280e7 2.59093e6i 1.76900 0.349128i
\(561\) −377507. 181798.i −0.0506428 0.0243883i
\(562\) 906920. + 1.21020e7i 0.121123 + 1.61628i
\(563\) 4.82504e6 + 1.48833e6i 0.641549 + 0.197892i 0.598426 0.801178i \(-0.295793\pi\)
0.0431230 + 0.999070i \(0.486269\pi\)
\(564\) 4.80955e6 + 1.48355e6i 0.636659 + 0.196383i
\(565\) 327576. + 4.37119e6i 0.0431709 + 0.576075i
\(566\) 3.92812e6 + 1.89168e6i 0.515398 + 0.248203i
\(567\) 17112.4 12838.4i 0.00223539 0.00167707i
\(568\) −7.11571e6 + 3.42674e6i −0.925438 + 0.445667i
\(569\) −2.50723e6 4.34264e6i −0.324648 0.562307i 0.656793 0.754071i \(-0.271913\pi\)
−0.981441 + 0.191764i \(0.938579\pi\)
\(570\) 7.00949e6 1.21408e7i 0.903648 1.56516i
\(571\) −308613. + 4.11816e6i −0.0396118 + 0.528582i 0.941737 + 0.336349i \(0.109192\pi\)
−0.981349 + 0.192233i \(0.938427\pi\)
\(572\) 363202. 925423.i 0.0464149 0.118263i
\(573\) −1.14662e6 5.02367e6i −0.145893 0.639197i
\(574\) −8.62892e6 + 3.09568e6i −1.09314 + 0.392172i
\(575\) 532000. 2.33085e6i 0.0671030 0.293998i
\(576\) 324938. + 221539.i 0.0408080 + 0.0278224i
\(577\) 230106. + 213507.i 0.0287732 + 0.0266977i 0.694428 0.719562i \(-0.255657\pi\)
−0.665655 + 0.746260i \(0.731848\pi\)
\(578\) −9.97242e6 + 1.50310e6i −1.24160 + 0.187141i
\(579\) −836535. + 776191.i −0.103702 + 0.0962215i
\(580\) −5.38482e6 + 6.75235e6i −0.664662 + 0.833460i
\(581\) −2.28604e6 + 3.14894e6i −0.280959 + 0.387012i
\(582\) 642051. + 805107.i 0.0785710 + 0.0985249i
\(583\) 6.61587e6 + 997182.i 0.806150 + 0.121508i
\(584\) 240207. 163771.i 0.0291444 0.0198703i
\(585\) −412737. 1.05164e6i −0.0498636 0.127050i
\(586\) 4.01367e6 1.23805e6i 0.482833 0.148934i
\(587\) −1.52329e7 −1.82469 −0.912343 0.409427i \(-0.865729\pi\)
−0.912343 + 0.409427i \(0.865729\pi\)
\(588\) −2.04611e6 + 2.27587e6i −0.244054 + 0.271459i
\(589\) 1.68398e7 2.00009
\(590\) −432190. + 133313.i −0.0511146 + 0.0157668i
\(591\) 309694. + 789088.i 0.0364724 + 0.0929302i
\(592\) 6.90456e6 4.70745e6i 0.809714 0.552054i
\(593\) −7.26219e6 1.09460e6i −0.848068 0.127826i −0.289391 0.957211i \(-0.593453\pi\)
−0.558677 + 0.829385i \(0.688691\pi\)
\(594\) −9.56387e6 1.19927e7i −1.11216 1.39460i
\(595\) 709047. 381898.i 0.0821075 0.0442237i
\(596\) −4.39954e6 + 5.51685e6i −0.507332 + 0.636174i
\(597\) −2.44694e6 + 2.27042e6i −0.280987 + 0.260718i
\(598\) 452337. 68178.8i 0.0517260 0.00779644i
\(599\) −1.01452e6 941334.i −0.115529 0.107196i 0.620293 0.784370i \(-0.287014\pi\)
−0.735822 + 0.677175i \(0.763204\pi\)
\(600\) 2.58499e6 + 1.76241e6i 0.293144 + 0.199862i
\(601\) 2.05214e6 8.99100e6i 0.231750 1.01536i −0.716437 0.697652i \(-0.754228\pi\)
0.948187 0.317712i \(-0.102915\pi\)
\(602\) 2.25353e6 + 1.86805e7i 0.253438 + 2.10086i
\(603\) −1.18576e6 5.19516e6i −0.132802 0.581842i
\(604\) 1.64217e6 4.18418e6i 0.183158 0.466679i
\(605\) −974943. + 1.30097e7i −0.108291 + 1.44504i
\(606\) −3.37796e6 + 5.85079e6i −0.373657 + 0.647192i
\(607\) −4.12444e6 7.14375e6i −0.454353 0.786963i 0.544297 0.838892i \(-0.316796\pi\)
−0.998651 + 0.0519293i \(0.983463\pi\)
\(608\) 1.37338e7 6.61386e6i 1.50672 0.725598i
\(609\) −208409. + 7.05203e6i −0.0227705 + 0.770497i
\(610\) 5.29830e6 + 2.55153e6i 0.576517 + 0.277636i
\(611\) −191840. 2.55993e6i −0.0207891 0.277411i
\(612\) 206855. + 63806.4i 0.0223248 + 0.00688630i
\(613\) 7.49417e6 + 2.31164e6i 0.805512 + 0.248468i 0.670051 0.742315i \(-0.266272\pi\)
0.135461 + 0.990783i \(0.456748\pi\)
\(614\) 301864. + 4.02809e6i 0.0323139 + 0.431200i
\(615\) −6.99600e6 3.36910e6i −0.745869 0.359191i
\(616\) −5.25540e6 4.45126e6i −0.558025 0.472641i
\(617\) 1.26319e7 6.08319e6i 1.33584 0.643307i 0.376726 0.926325i \(-0.377050\pi\)
0.959115 + 0.283018i \(0.0913356\pi\)
\(618\) 4.05729e6 + 7.02743e6i 0.427331 + 0.740159i
\(619\) −1.89377e6 + 3.28010e6i −0.198655 + 0.344081i −0.948093 0.317994i \(-0.896991\pi\)
0.749437 + 0.662075i \(0.230324\pi\)
\(620\) 767932. 1.02473e7i 0.0802312 1.07061i
\(621\) 956531. 2.43720e6i 0.0995336 0.253608i
\(622\) −3.19500e6 1.39982e7i −0.331127 1.45076i
\(623\) −4.40097e6 460889.i −0.454285 0.0475747i
\(624\) −253627. + 1.11121e6i −0.0260756 + 0.114245i
\(625\) −7.10485e6 4.84400e6i −0.727536 0.496026i
\(626\) −7.87309e6 7.30516e6i −0.802988 0.745064i
\(627\) −1.35849e7 + 2.04760e6i −1.38003 + 0.208006i
\(628\) −5.74845e6 + 5.33378e6i −0.581636 + 0.539680i
\(629\) 313582. 393219.i 0.0316027 0.0396286i
\(630\) 1.12360e7 508838.i 1.12787 0.0510773i
\(631\) 2.13574e6 + 2.67813e6i 0.213537 + 0.267768i 0.877052 0.480396i \(-0.159507\pi\)
−0.663514 + 0.748164i \(0.730936\pi\)
\(632\) 6.58168e6 + 992029.i 0.655457 + 0.0987942i
\(633\) 1.28841e6 878420.i 0.127804 0.0871351i
\(634\) 1.81170e6 + 4.61613e6i 0.179004 + 0.456094i
\(635\) −7.96534e6 + 2.45698e6i −0.783917 + 0.241806i
\(636\) 2.14766e6 0.210534
\(637\) 1.46181e6 + 547373.i 0.142739 + 0.0534485i
\(638\) 2.28168e7 2.21923
\(639\) −1.20783e7 + 3.72567e6i −1.17019 + 0.360955i
\(640\) 5.20816e6 + 1.32702e7i 0.502614 + 1.28064i
\(641\) −1.12336e7 + 7.65894e6i −1.07988 + 0.736247i −0.966335 0.257286i \(-0.917172\pi\)
−0.113541 + 0.993533i \(0.536219\pi\)
\(642\) 1.38372e6 + 208562.i 0.132498 + 0.0199709i
\(643\) 6.77556e6 + 8.49629e6i 0.646276 + 0.810404i 0.991772 0.128016i \(-0.0408608\pi\)
−0.345496 + 0.938420i \(0.612289\pi\)
\(644\) −301026. + 1.66234e6i −0.0286016 + 0.157945i
\(645\) −9.93684e6 + 1.24604e7i −0.940479 + 1.17932i
\(646\) 1.00434e6 931893.i 0.0946891 0.0878587i
\(647\) 1.94610e7 2.93328e6i 1.82770 0.275481i 0.856920 0.515450i \(-0.172375\pi\)
0.970781 + 0.239969i \(0.0771371\pi\)
\(648\) 11328.3 + 10511.1i 0.00105980 + 0.000983355i
\(649\) 366214. + 249681.i 0.0341290 + 0.0232688i
\(650\) −510290. + 2.23573e6i −0.0473733 + 0.207556i
\(651\) −4.52178e6 7.07243e6i −0.418174 0.654058i
\(652\) −2.79369e6 1.22400e7i −0.257371 1.12762i
\(653\) −3.26114e6 + 8.30924e6i −0.299286 + 0.762568i 0.699562 + 0.714572i \(0.253379\pi\)
−0.998848 + 0.0479957i \(0.984717\pi\)
\(654\) −318785. + 4.25389e6i −0.0291443 + 0.388903i
\(655\) 51577.6 89335.0i 0.00469740 0.00813614i
\(656\) −6.30447e6 1.09197e7i −0.571991 0.990718i
\(657\) 419205. 201878.i 0.0378890 0.0182464i
\(658\) 2.47382e7 + 6.42074e6i 2.22743 + 0.578123i
\(659\) 7.63684e6 + 3.67771e6i 0.685015 + 0.329886i 0.743817 0.668384i \(-0.233014\pi\)
−0.0588014 + 0.998270i \(0.518728\pi\)
\(660\) 626499. + 8.36005e6i 0.0559835 + 0.747048i
\(661\) 8.34519e6 + 2.57415e6i 0.742904 + 0.229155i 0.643026 0.765844i \(-0.277679\pi\)
0.0998777 + 0.995000i \(0.468155\pi\)
\(662\) −1.94951e7 6.01344e6i −1.72894 0.533308i
\(663\) 5126.40 + 68407.0i 0.000452927 + 0.00604389i
\(664\) −2.53255e6 1.21961e6i −0.222914 0.107350i
\(665\) 1.21550e7 2.34424e7i 1.06586 2.05564i
\(666\) 6.32852e6 3.04765e6i 0.552862 0.266244i
\(667\) 1.94724e6 + 3.37273e6i 0.169475 + 0.293539i
\(668\) −1.71818e6 + 2.97598e6i −0.148980 + 0.258041i
\(669\) 802312. 1.07061e7i 0.0693071 0.924839i
\(670\) −7.51897e6 + 1.91580e7i −0.647100 + 1.64878i
\(671\) −1.28238e6 5.61846e6i −0.109954 0.481738i
\(672\) −6.46547e6 3.99203e6i −0.552303 0.341013i
\(673\) 2.77282e6 1.21485e7i 0.235985 1.03392i −0.708590 0.705620i \(-0.750669\pi\)
0.944575 0.328296i \(-0.106474\pi\)
\(674\) −1.10258e7 7.51724e6i −0.934887 0.637395i
\(675\) 9.62148e6 + 8.92743e6i 0.812798 + 0.754166i
\(676\) 6.76700e6 1.01996e6i 0.569547 0.0858453i
\(677\) 1.12158e7 1.04068e7i 0.940503 0.872659i −0.0515257 0.998672i \(-0.516408\pi\)
0.992029 + 0.126012i \(0.0402179\pi\)
\(678\) 2.31770e6 2.90631e6i 0.193635 0.242810i
\(679\) 1.27674e6 + 1.46024e6i 0.106274 + 0.121549i
\(680\) 362723. + 454840.i 0.0300817 + 0.0377212i
\(681\) 3.80318e6 + 573237.i 0.314252 + 0.0473659i
\(682\) −2.24308e7 + 1.52931e7i −1.84665 + 1.25902i
\(683\) 2.50106e6 + 6.37259e6i 0.205150 + 0.522714i 0.996006 0.0892887i \(-0.0284594\pi\)
−0.790856 + 0.612003i \(0.790364\pi\)
\(684\) 6.78245e6 2.09211e6i 0.554302 0.170980i
\(685\) 2.57505e6 0.209681
\(686\) −9.85649e6 + 1.20149e7i −0.799672 + 0.974784i
\(687\) −365662. −0.0295589
\(688\) −2.47298e7 + 7.62814e6i −1.99182 + 0.614395i
\(689\) −400189. 1.01967e6i −0.0321157 0.0818295i
\(690\) −3.18728e6 + 2.17305e6i −0.254858 + 0.173759i
\(691\) 5.43372e6 + 819002.i 0.432915 + 0.0652514i 0.361885 0.932223i \(-0.382133\pi\)
0.0710299 + 0.997474i \(0.477371\pi\)
\(692\) −6.11840e6 7.67223e6i −0.485705 0.609055i
\(693\) −7.25517e6 8.29791e6i −0.573871 0.656351i
\(694\) 1.78851e6 2.24272e6i 0.140959 0.176757i
\(695\) −1.49870e7 + 1.39059e7i −1.17693 + 1.09203i
\(696\) −5.03946e6 + 759577.i −0.394331 + 0.0594359i
\(697\) −556295. 516166.i −0.0433734 0.0402446i
\(698\) 9.00452e6 + 6.13918e6i 0.699556 + 0.476949i
\(699\) 2.05622e6 9.00890e6i 0.159176 0.697395i
\(700\) −7.20612e6 4.44933e6i −0.555848 0.343202i
\(701\) −4.09100e6 1.79238e7i −0.314438 1.37764i −0.847154 0.531347i \(-0.821686\pi\)
0.532716 0.846294i \(-0.321171\pi\)
\(702\) −917497. + 2.33774e6i −0.0702687 + 0.179042i
\(703\) 1.23236e6 1.64447e7i 0.0940479 1.25498i
\(704\) −744248. + 1.28908e6i −0.0565960 + 0.0980272i
\(705\) 1.08240e7 + 1.87478e7i 0.820193 + 1.42062i
\(706\) 5.89953e6 2.84106e6i 0.445457 0.214521i
\(707\) −5.85766e6 + 1.12972e7i −0.440733 + 0.850004i
\(708\) 128186. + 61730.9i 0.00961072 + 0.00462828i
\(709\) 754129. + 1.00632e7i 0.0563417 + 0.751828i 0.951807 + 0.306697i \(0.0992239\pi\)
−0.895465 + 0.445131i \(0.853157\pi\)
\(710\) 4.66488e7 + 1.43893e7i 3.47292 + 1.07125i
\(711\) 1.01792e7 + 3.13987e6i 0.755161 + 0.232936i
\(712\) −238875. 3.18757e6i −0.0176592 0.235646i
\(713\) −4.17490e6 2.01052e6i −0.307554 0.148110i
\(714\) −661062. 171577.i −0.0485284 0.0125954i
\(715\) 3.85245e6 1.85524e6i 0.281820 0.135717i
\(716\) −2.31655e6 4.01238e6i −0.168873 0.292496i
\(717\) −1.92065e6 + 3.32666e6i −0.139524 + 0.241663i
\(718\) 637905. 8.51224e6i 0.0461790 0.616216i
\(719\) −6.82173e6 + 1.73815e7i −0.492122 + 1.25391i 0.442021 + 0.897005i \(0.354262\pi\)
−0.934142 + 0.356901i \(0.883833\pi\)
\(720\) 3.44239e6 + 1.50821e7i 0.247473 + 1.08425i
\(721\) 8.23334e6 + 1.28776e7i 0.589845 + 0.922566i
\(722\) 6.06648e6 2.65790e7i 0.433106 1.89756i
\(723\) −991521. 676008.i −0.0705434 0.0480957i
\(724\) −6.79434e6 6.30422e6i −0.481727 0.446977i
\(725\) −1.93054e7 + 2.90982e6i −1.36406 + 0.205599i
\(726\) 8.11018e6 7.52514e6i 0.571069 0.529875i
\(727\) −2.95584e6 + 3.70651e6i −0.207417 + 0.260093i −0.874649 0.484758i \(-0.838908\pi\)
0.667231 + 0.744851i \(0.267479\pi\)
\(728\) −200918. + 1.10952e6i −0.0140505 + 0.0775902i
\(729\) 5.55841e6 + 6.97003e6i 0.387375 + 0.485753i
\(730\) −1.77694e6 267830.i −0.123414 0.0186017i
\(731\) −1.28693e6 + 877413.i −0.0890761 + 0.0607311i
\(732\) −675838. 1.72201e6i −0.0466192 0.118784i
\(733\) 6.97986e6 2.15300e6i 0.479829 0.148008i −0.0453992 0.998969i \(-0.514456\pi\)
0.525229 + 0.850961i \(0.323980\pi\)
\(734\) −1.10508e6 −0.0757099
\(735\) −1.31092e7 + 1.18978e6i −0.895074 + 0.0812359i
\(736\) −4.19450e6 −0.285421
\(737\) 1.92727e7 5.94483e6i 1.30699 0.403154i
\(738\) −3.87203e6 9.86578e6i −0.261697 0.666792i
\(739\) −7.98770e6 + 5.44592e6i −0.538035 + 0.366826i −0.801642 0.597804i \(-0.796040\pi\)
0.263607 + 0.964630i \(0.415088\pi\)
\(740\) −9.95070e6 1.49983e6i −0.667997 0.100684i
\(741\) 1.40238e6 + 1.75853e6i 0.0938254 + 0.117653i
\(742\) 1.08944e7 493368.i 0.726431 0.0328974i
\(743\) −1.73677e7 + 2.17784e7i −1.15417 + 1.44729i −0.281112 + 0.959675i \(0.590703\pi\)
−0.873061 + 0.487612i \(0.837868\pi\)
\(744\) 4.44511e6 4.12446e6i 0.294408 0.273171i
\(745\) −3.00108e7 + 4.52340e6i −1.98101 + 0.298590i
\(746\) 1.45690e7 + 1.35181e7i 0.958482 + 0.889342i
\(747\) −3.71696e6 2.53418e6i −0.243718 0.166164i
\(748\) −182316. + 798780.i −0.0119144 + 0.0522003i
\(749\) 2.62149e6 + 274534.i 0.170743 + 0.0178810i
\(750\) −418858. 1.83514e6i −0.0271903 0.119128i
\(751\) 6.54774e6 1.66834e7i 0.423635 1.07940i −0.546633 0.837372i \(-0.684091\pi\)
0.970268 0.242032i \(-0.0778140\pi\)
\(752\) −2.62696e6 + 3.50543e7i −0.169398 + 2.26046i
\(753\) 6.18436e6 1.07116e7i 0.397473 0.688443i
\(754\) −1.86778e6 3.23509e6i −0.119646 0.207233i
\(755\) 1.74183e7 8.38823e6i 1.11209 0.535554i
\(756\) −7.07717e6 5.99428e6i −0.450355 0.381445i
\(757\) 8.25249e6 + 3.97419e6i 0.523414 + 0.252063i 0.676883 0.736091i \(-0.263330\pi\)
−0.153469 + 0.988153i \(0.549045\pi\)
\(758\) −2.75051e6 3.67030e7i −0.173876 2.32022i
\(759\) 3.61241e6 + 1.11428e6i 0.227611 + 0.0702086i
\(760\) 1.82276e7 + 5.62247e6i 1.14471 + 0.353096i
\(761\)