Properties

Label 49.6.g.a.25.16
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 25.16
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.22133 - 1.61057i) q^{2} +(8.72914 + 22.2415i) q^{3} +(-1.77125 + 1.20762i) q^{4} +(-104.732 - 15.7858i) q^{5} +(81.3992 + 102.071i) q^{6} +(122.487 + 42.4725i) q^{7} +(-116.321 + 145.862i) q^{8} +(-240.355 + 223.016i) q^{9} +O(q^{10})\) \(q+(5.22133 - 1.61057i) q^{2} +(8.72914 + 22.2415i) q^{3} +(-1.77125 + 1.20762i) q^{4} +(-104.732 - 15.7858i) q^{5} +(81.3992 + 102.071i) q^{6} +(122.487 + 42.4725i) q^{7} +(-116.321 + 145.862i) q^{8} +(-240.355 + 223.016i) q^{9} +(-572.263 + 86.2548i) q^{10} +(99.8611 + 92.6576i) q^{11} +(-42.3207 - 28.8537i) q^{12} +(62.1361 - 272.236i) q^{13} +(707.951 + 24.4891i) q^{14} +(-563.119 - 2467.19i) q^{15} +(-347.368 + 885.079i) q^{16} +(-58.6898 + 783.161i) q^{17} +(-895.788 + 1551.55i) q^{18} +(1383.15 + 2395.69i) q^{19} +(204.569 - 98.5153i) q^{20} +(124.556 + 3095.04i) q^{21} +(670.639 + 322.963i) q^{22} +(-236.457 - 3155.30i) q^{23} +(-4259.57 - 1313.90i) q^{24} +(7733.38 + 2385.43i) q^{25} +(-114.021 - 1521.51i) q^{26} +(-1827.26 - 879.960i) q^{27} +(-268.245 + 72.6881i) q^{28} +(4712.66 - 2269.50i) q^{29} +(-6913.81 - 11975.1i) q^{30} +(-2555.00 + 4425.39i) q^{31} +(57.8996 - 772.617i) q^{32} +(-1189.14 + 3029.88i) q^{33} +(954.895 + 4183.67i) q^{34} +(-12157.8 - 6381.77i) q^{35} +(156.409 - 685.274i) q^{36} +(-1889.02 - 1287.91i) q^{37} +(11080.3 + 10281.0i) q^{38} +(6597.33 - 994.388i) q^{39} +(14485.0 - 13440.2i) q^{40} +(-5796.48 + 7268.56i) q^{41} +(5635.13 + 15959.7i) q^{42} +(-8404.18 - 10538.5i) q^{43} +(-288.774 - 43.5256i) q^{44} +(28693.2 - 19562.7i) q^{45} +(-6316.45 - 16094.0i) q^{46} +(-4899.74 + 1511.37i) q^{47} -22717.7 q^{48} +(13199.2 + 10404.7i) q^{49} +44220.5 q^{50} +(-17931.0 + 5530.97i) q^{51} +(218.698 + 557.234i) q^{52} +(12116.3 - 8260.76i) q^{53} +(-10957.9 - 1651.64i) q^{54} +(-8995.96 - 11280.6i) q^{55} +(-20442.9 + 12925.8i) q^{56} +(-41209.9 + 51675.6i) q^{57} +(20951.2 - 19439.9i) q^{58} +(-7343.63 + 1106.87i) q^{59} +(3976.84 + 3689.97i) q^{60} +(9821.04 + 6695.87i) q^{61} +(-6213.12 + 27221.5i) q^{62} +(-38912.4 + 17108.2i) q^{63} +(-7712.40 - 33790.2i) q^{64} +(-10805.1 + 27530.9i) q^{65} +(-1329.07 + 17735.2i) q^{66} +(4960.72 - 8592.22i) q^{67} +(-841.803 - 1458.05i) q^{68} +(68114.5 - 32802.2i) q^{69} +(-73758.3 - 13740.3i) q^{70} +(-20571.5 - 9906.71i) q^{71} +(-4571.33 - 61000.1i) q^{72} +(-13848.6 - 4271.72i) q^{73} +(-11937.5 - 3682.22i) q^{74} +(14450.2 + 192825. i) q^{75} +(-5342.97 - 2573.04i) q^{76} +(8296.30 + 15590.7i) q^{77} +(32845.3 - 15817.5i) q^{78} +(43123.0 + 74691.3i) q^{79} +(50352.1 - 87212.4i) q^{80} +(-2332.90 + 31130.4i) q^{81} +(-18558.9 + 47287.2i) q^{82} +(492.338 + 2157.07i) q^{83} +(-3958.25 - 5331.68i) q^{84} +(18509.5 - 81095.3i) q^{85} +(-60854.0 - 41489.6i) q^{86} +(91614.5 + 85005.9i) q^{87} +(-25131.2 + 3787.91i) q^{88} +(-2301.67 + 2135.64i) q^{89} +(118310. - 148356. i) q^{90} +(19173.4 - 30706.3i) q^{91} +(4229.21 + 5303.27i) q^{92} +(-120730. - 18197.2i) q^{93} +(-23149.0 + 15782.7i) q^{94} +(-107042. - 272738. i) q^{95} +(17689.6 - 5456.51i) q^{96} +165543. q^{97} +(85674.7 + 33068.0i) q^{98} -44666.2 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.22133 1.61057i 0.923010 0.284711i 0.203405 0.979095i \(-0.434799\pi\)
0.719605 + 0.694384i \(0.244323\pi\)
\(3\) 8.72914 + 22.2415i 0.559975 + 1.42679i 0.877977 + 0.478703i \(0.158893\pi\)
−0.318002 + 0.948090i \(0.603012\pi\)
\(4\) −1.77125 + 1.20762i −0.0553515 + 0.0377380i
\(5\) −104.732 15.7858i −1.87350 0.282384i −0.889017 0.457874i \(-0.848611\pi\)
−0.984481 + 0.175489i \(0.943849\pi\)
\(6\) 81.3992 + 102.071i 0.923086 + 1.15751i
\(7\) 122.487 + 42.4725i 0.944812 + 0.327614i
\(8\) −116.321 + 145.862i −0.642589 + 0.805781i
\(9\) −240.355 + 223.016i −0.989114 + 0.917763i
\(10\) −572.263 + 86.2548i −1.80966 + 0.272762i
\(11\) 99.8611 + 92.6576i 0.248837 + 0.230887i 0.794723 0.606973i \(-0.207616\pi\)
−0.545886 + 0.837860i \(0.683807\pi\)
\(12\) −42.3207 28.8537i −0.0848398 0.0578428i
\(13\) 62.1361 272.236i 0.101973 0.446773i −0.898004 0.439988i \(-0.854983\pi\)
0.999977 0.00678577i \(-0.00215999\pi\)
\(14\) 707.951 + 24.4891i 0.965346 + 0.0333928i
\(15\) −563.119 2467.19i −0.646208 2.83122i
\(16\) −347.368 + 885.079i −0.339226 + 0.864335i
\(17\) −58.6898 + 783.161i −0.0492538 + 0.657247i 0.916873 + 0.399179i \(0.130705\pi\)
−0.966127 + 0.258068i \(0.916914\pi\)
\(18\) −895.788 + 1551.55i −0.651665 + 1.12872i
\(19\) 1383.15 + 2395.69i 0.878993 + 1.52246i 0.852448 + 0.522812i \(0.175117\pi\)
0.0265447 + 0.999648i \(0.491550\pi\)
\(20\) 204.569 98.5153i 0.114358 0.0550717i
\(21\) 124.556 + 3095.04i 0.0616335 + 1.53151i
\(22\) 670.639 + 322.963i 0.295415 + 0.142264i
\(23\) −236.457 3155.30i −0.0932036 1.24372i −0.826158 0.563438i \(-0.809478\pi\)
0.732955 0.680277i \(-0.238141\pi\)
\(24\) −4259.57 1313.90i −1.50952 0.465624i
\(25\) 7733.38 + 2385.43i 2.47468 + 0.763339i
\(26\) −114.021 1521.51i −0.0330790 0.441409i
\(27\) −1827.26 879.960i −0.482381 0.232302i
\(28\) −268.245 + 72.6881i −0.0646602 + 0.0175214i
\(29\) 4712.66 2269.50i 1.04057 0.501112i 0.166058 0.986116i \(-0.446896\pi\)
0.874512 + 0.485004i \(0.161182\pi\)
\(30\) −6913.81 11975.1i −1.40254 2.42926i
\(31\) −2555.00 + 4425.39i −0.477515 + 0.827081i −0.999668 0.0257715i \(-0.991796\pi\)
0.522153 + 0.852852i \(0.325129\pi\)
\(32\) 57.8996 772.617i 0.00999541 0.133380i
\(33\) −1189.14 + 3029.88i −0.190085 + 0.484329i
\(34\) 954.895 + 4183.67i 0.141664 + 0.620669i
\(35\) −12157.8 6381.77i −1.67759 0.880584i
\(36\) 156.409 685.274i 0.0201144 0.0881268i
\(37\) −1889.02 1287.91i −0.226846 0.154661i 0.444564 0.895747i \(-0.353359\pi\)
−0.671410 + 0.741086i \(0.734311\pi\)
\(38\) 11080.3 + 10281.0i 1.24478 + 1.15499i
\(39\) 6597.33 994.388i 0.694555 0.104687i
\(40\) 14485.0 13440.2i 1.43143 1.32817i
\(41\) −5796.48 + 7268.56i −0.538524 + 0.675287i −0.974427 0.224706i \(-0.927858\pi\)
0.435903 + 0.899994i \(0.356429\pi\)
\(42\) 5635.13 + 15959.7i 0.492925 + 1.39605i
\(43\) −8404.18 10538.5i −0.693145 0.869177i 0.303345 0.952881i \(-0.401896\pi\)
−0.996491 + 0.0837038i \(0.973325\pi\)
\(44\) −288.774 43.5256i −0.0224867 0.00338932i
\(45\) 28693.2 19562.7i 2.11227 1.44012i
\(46\) −6316.45 16094.0i −0.440127 1.12143i
\(47\) −4899.74 + 1511.37i −0.323540 + 0.0997990i −0.452271 0.891881i \(-0.649386\pi\)
0.128731 + 0.991680i \(0.458910\pi\)
\(48\) −22717.7 −1.42318
\(49\) 13199.2 + 10404.7i 0.785338 + 0.619067i
\(50\) 44220.5 2.50149
\(51\) −17931.0 + 5530.97i −0.965336 + 0.297767i
\(52\) 218.698 + 557.234i 0.0112160 + 0.0285778i
\(53\) 12116.3 8260.76i 0.592490 0.403953i −0.229621 0.973280i \(-0.573749\pi\)
0.822111 + 0.569327i \(0.192796\pi\)
\(54\) −10957.9 1651.64i −0.511381 0.0770783i
\(55\) −8995.96 11280.6i −0.400997 0.502834i
\(56\) −20442.9 + 12925.8i −0.871111 + 0.550790i
\(57\) −41209.9 + 51675.6i −1.68002 + 2.10668i
\(58\) 20951.2 19439.9i 0.817784 0.758793i
\(59\) −7343.63 + 1106.87i −0.274651 + 0.0413969i −0.284923 0.958550i \(-0.591968\pi\)
0.0102726 + 0.999947i \(0.496730\pi\)
\(60\) 3976.84 + 3689.97i 0.142613 + 0.132326i
\(61\) 9821.04 + 6695.87i 0.337935 + 0.230400i 0.720382 0.693577i \(-0.243966\pi\)
−0.382447 + 0.923977i \(0.624919\pi\)
\(62\) −6213.12 + 27221.5i −0.205272 + 0.899357i
\(63\) −38912.4 + 17108.2i −1.23520 + 0.543066i
\(64\) −7712.40 33790.2i −0.235364 1.03120i
\(65\) −10805.1 + 27530.9i −0.317208 + 0.808233i
\(66\) −1329.07 + 17735.2i −0.0375568 + 0.501160i
\(67\) 4960.72 8592.22i 0.135007 0.233840i −0.790593 0.612342i \(-0.790228\pi\)
0.925600 + 0.378502i \(0.123561\pi\)
\(68\) −841.803 1458.05i −0.0220769 0.0382383i
\(69\) 68114.5 32802.2i 1.72233 0.829432i
\(70\) −73758.3 13740.3i −1.79914 0.335160i
\(71\) −20571.5 9906.71i −0.484306 0.233230i 0.175766 0.984432i \(-0.443760\pi\)
−0.660072 + 0.751202i \(0.729474\pi\)
\(72\) −4571.33 61000.1i −0.103923 1.38675i
\(73\) −13848.6 4271.72i −0.304157 0.0938200i 0.138920 0.990304i \(-0.455637\pi\)
−0.443077 + 0.896484i \(0.646113\pi\)
\(74\) −11937.5 3682.22i −0.253415 0.0781683i
\(75\) 14450.2 + 192825.i 0.296634 + 3.95831i
\(76\) −5342.97 2573.04i −0.106108 0.0510990i
\(77\) 8296.30 + 15590.7i 0.159462 + 0.299667i
\(78\) 32845.3 15817.5i 0.611276 0.294375i
\(79\) 43123.0 + 74691.3i 0.777395 + 1.34649i 0.933439 + 0.358737i \(0.116792\pi\)
−0.156044 + 0.987750i \(0.549874\pi\)
\(80\) 50352.1 87212.4i 0.879615 1.52354i
\(81\) −2332.90 + 31130.4i −0.0395078 + 0.527196i
\(82\) −18558.9 + 47287.2i −0.304801 + 0.776621i
\(83\) 492.338 + 2157.07i 0.00784455 + 0.0343692i 0.978699 0.205302i \(-0.0658176\pi\)
−0.970854 + 0.239671i \(0.922960\pi\)
\(84\) −3958.25 5331.68i −0.0612075 0.0824452i
\(85\) 18509.5 81095.3i 0.277873 1.21744i
\(86\) −60854.0 41489.6i −0.887244 0.604913i
\(87\) 91614.5 + 85005.9i 1.29768 + 1.20407i
\(88\) −25131.2 + 3787.91i −0.345944 + 0.0521427i
\(89\) −2301.67 + 2135.64i −0.0308013 + 0.0285794i −0.695423 0.718600i \(-0.744783\pi\)
0.664622 + 0.747180i \(0.268593\pi\)
\(90\) 118310. 148356.i 1.53962 1.93063i
\(91\) 19173.4 30706.3i 0.242715 0.388709i
\(92\) 4229.21 + 5303.27i 0.0520943 + 0.0653242i
\(93\) −120730. 18197.2i −1.44747 0.218171i
\(94\) −23149.0 + 15782.7i −0.270217 + 0.184231i
\(95\) −107042. 272738.i −1.21687 3.10054i
\(96\) 17689.6 5456.51i 0.195902 0.0604278i
\(97\) 165543. 1.78642 0.893208 0.449643i \(-0.148449\pi\)
0.893208 + 0.449643i \(0.148449\pi\)
\(98\) 85674.7 + 33068.0i 0.901130 + 0.347811i
\(99\) −44666.2 −0.458027
\(100\) −16578.4 + 5113.77i −0.165784 + 0.0511377i
\(101\) −8803.29 22430.4i −0.0858701 0.218793i 0.881488 0.472206i \(-0.156542\pi\)
−0.967358 + 0.253413i \(0.918447\pi\)
\(102\) −84715.6 + 57758.1i −0.806237 + 0.549683i
\(103\) −817.673 123.244i −0.00759428 0.00114465i 0.145244 0.989396i \(-0.453603\pi\)
−0.152838 + 0.988251i \(0.548841\pi\)
\(104\) 32481.1 + 40730.1i 0.294475 + 0.369260i
\(105\) 35812.7 326116.i 0.317003 2.88668i
\(106\) 49958.8 62646.4i 0.431864 0.541541i
\(107\) 65403.2 60685.3i 0.552255 0.512417i −0.353946 0.935266i \(-0.615160\pi\)
0.906200 + 0.422849i \(0.138970\pi\)
\(108\) 4299.18 647.997i 0.0354671 0.00534581i
\(109\) 15534.2 + 14413.6i 0.125234 + 0.116200i 0.740304 0.672272i \(-0.234682\pi\)
−0.615070 + 0.788473i \(0.710872\pi\)
\(110\) −65139.0 44411.0i −0.513286 0.349953i
\(111\) 12155.6 53257.0i 0.0936413 0.410269i
\(112\) −80139.6 + 93657.2i −0.603673 + 0.705498i
\(113\) 47242.8 + 206984.i 0.348048 + 1.52490i 0.781606 + 0.623772i \(0.214401\pi\)
−0.433558 + 0.901126i \(0.642742\pi\)
\(114\) −131944. + 336187.i −0.950881 + 2.42281i
\(115\) −25044.3 + 334193.i −0.176589 + 2.35642i
\(116\) −5606.61 + 9710.93i −0.0386861 + 0.0670063i
\(117\) 45778.4 + 79290.6i 0.309169 + 0.535497i
\(118\) −36560.8 + 17606.8i −0.241719 + 0.116406i
\(119\) −40451.5 + 93434.4i −0.261859 + 0.604838i
\(120\) 425371. + 204848.i 2.69659 + 1.29861i
\(121\) −10648.5 142095.i −0.0661191 0.882298i
\(122\) 62063.1 + 19143.9i 0.377515 + 0.116448i
\(123\) −212262. 65474.1i −1.26505 0.390218i
\(124\) −818.636 10923.9i −0.00478119 0.0638006i
\(125\) −474069. 228300.i −2.71373 1.30686i
\(126\) −175621. + 151999.i −0.985484 + 0.852930i
\(127\) 28389.8 13671.8i 0.156190 0.0752170i −0.354156 0.935186i \(-0.615232\pi\)
0.510346 + 0.859969i \(0.329517\pi\)
\(128\) −82294.0 142537.i −0.443959 0.768960i
\(129\) 161031. 278914.i 0.851991 1.47569i
\(130\) −12076.5 + 161150.i −0.0626735 + 0.836320i
\(131\) 55450.1 141284.i 0.282308 0.719310i −0.717434 0.696626i \(-0.754684\pi\)
0.999743 0.0226838i \(-0.00722110\pi\)
\(132\) −1552.67 6802.70i −0.00775612 0.0339818i
\(133\) 67667.3 + 352186.i 0.331703 + 1.72641i
\(134\) 12063.2 52852.4i 0.0580365 0.254274i
\(135\) 177481. + 121004.i 0.838141 + 0.571435i
\(136\) −107406. 99658.6i −0.497947 0.462027i
\(137\) 47539.4 7165.41i 0.216398 0.0326167i −0.0399486 0.999202i \(-0.512719\pi\)
0.256346 + 0.966585i \(0.417481\pi\)
\(138\) 302818. 280974.i 1.35358 1.25594i
\(139\) 82748.6 103763.i 0.363265 0.455520i −0.566288 0.824207i \(-0.691621\pi\)
0.929554 + 0.368687i \(0.120193\pi\)
\(140\) 29241.3 3378.29i 0.126089 0.0145672i
\(141\) −76385.7 95784.6i −0.323567 0.405740i
\(142\) −123366. 18594.4i −0.513422 0.0773860i
\(143\) 31429.7 21428.4i 0.128529 0.0876294i
\(144\) −113896. 290202.i −0.457721 1.16625i
\(145\) −529391. + 163296.i −2.09101 + 0.644992i
\(146\) −79187.9 −0.307451
\(147\) −116198. + 384393.i −0.443511 + 1.46718i
\(148\) 4901.22 0.0183929
\(149\) −58021.6 + 17897.3i −0.214104 + 0.0660422i −0.399952 0.916536i \(-0.630973\pi\)
0.185848 + 0.982579i \(0.440497\pi\)
\(150\) 386007. + 983530.i 1.40077 + 3.56910i
\(151\) 376184. 256478.i 1.34264 0.915393i 0.342923 0.939364i \(-0.388583\pi\)
0.999713 + 0.0239701i \(0.00763064\pi\)
\(152\) −510329. 76919.7i −1.79160 0.270040i
\(153\) −160551. 201325.i −0.554479 0.695295i
\(154\) 68427.6 + 68042.5i 0.232504 + 0.231195i
\(155\) 337448. 423147.i 1.12818 1.41469i
\(156\) −10484.7 + 9728.35i −0.0344940 + 0.0320057i
\(157\) −425002. + 64058.8i −1.37607 + 0.207410i −0.795083 0.606500i \(-0.792573\pi\)
−0.580991 + 0.813910i \(0.697335\pi\)
\(158\) 345455. + 320535.i 1.10090 + 1.02149i
\(159\) 289497. + 197376.i 0.908136 + 0.619157i
\(160\) −18260.3 + 80003.5i −0.0563907 + 0.247064i
\(161\) 105050. 396526.i 0.319399 1.20561i
\(162\) 37956.7 + 166299.i 0.113632 + 0.497855i
\(163\) −89722.9 + 228610.i −0.264505 + 0.673948i −0.999994 0.00358910i \(-0.998858\pi\)
0.735488 + 0.677537i \(0.236953\pi\)
\(164\) 1489.38 19874.3i 0.00432409 0.0577010i
\(165\) 172370. 298553.i 0.492892 0.853713i
\(166\) 6044.78 + 10469.9i 0.0170259 + 0.0294897i
\(167\) 318739. 153497.i 0.884391 0.425900i 0.0641644 0.997939i \(-0.479562\pi\)
0.820226 + 0.572039i \(0.193848\pi\)
\(168\) −465938. 341851.i −1.27366 0.934466i
\(169\) 264272. + 127267.i 0.711761 + 0.342766i
\(170\) −33965.4 453236.i −0.0901393 1.20283i
\(171\) −866724. 267349.i −2.26668 0.699179i
\(172\) 27612.4 + 8517.29i 0.0711676 + 0.0219523i
\(173\) −14346.9 191447.i −0.0364455 0.486332i −0.985325 0.170692i \(-0.945400\pi\)
0.948879 0.315640i \(-0.102219\pi\)
\(174\) 615258. + 296293.i 1.54058 + 0.741904i
\(175\) 845925. + 620641.i 2.08803 + 1.53195i
\(176\) −116698. + 56198.7i −0.283976 + 0.136755i
\(177\) −88722.1 153671.i −0.212862 0.368688i
\(178\) −8578.21 + 14857.9i −0.0202930 + 0.0351486i
\(179\) 16653.7 222229.i 0.0388489 0.518403i −0.943503 0.331363i \(-0.892492\pi\)
0.982352 0.187040i \(-0.0598894\pi\)
\(180\) −27198.6 + 69300.9i −0.0625698 + 0.159425i
\(181\) 12176.4 + 53348.3i 0.0276263 + 0.121039i 0.986861 0.161573i \(-0.0516566\pi\)
−0.959235 + 0.282611i \(0.908799\pi\)
\(182\) 50656.1 191208.i 0.113358 0.427886i
\(183\) −63197.0 + 276884.i −0.139498 + 0.611181i
\(184\) 487743. + 332538.i 1.06205 + 0.724096i
\(185\) 177510. + 164705.i 0.381323 + 0.353816i
\(186\) −659681. + 99431.0i −1.39814 + 0.210736i
\(187\) −78426.6 + 72769.2i −0.164006 + 0.152175i
\(188\) 6853.50 8594.02i 0.0141422 0.0177338i
\(189\) −186441. 185392.i −0.379653 0.377517i
\(190\) −998166. 1.25166e6i −2.00594 2.51537i
\(191\) −732849. 110459.i −1.45355 0.219088i −0.625714 0.780052i \(-0.715192\pi\)
−0.827840 + 0.560964i \(0.810430\pi\)
\(192\) 684223. 466495.i 1.33951 0.913260i
\(193\) 221428. + 564189.i 0.427897 + 1.09026i 0.968506 + 0.248990i \(0.0800987\pi\)
−0.540609 + 0.841274i \(0.681806\pi\)
\(194\) 864358. 266619.i 1.64888 0.508612i
\(195\) −706647. −1.33081
\(196\) −35943.9 2489.69i −0.0668320 0.00462919i
\(197\) 378673. 0.695182 0.347591 0.937646i \(-0.387000\pi\)
0.347591 + 0.937646i \(0.387000\pi\)
\(198\) −233217. + 71938.0i −0.422764 + 0.130405i
\(199\) −255136. 650075.i −0.456708 1.16367i −0.954985 0.296655i \(-0.904129\pi\)
0.498277 0.867018i \(-0.333966\pi\)
\(200\) −1.24750e6 + 850530.i −2.20529 + 1.50354i
\(201\) 234407. + 35331.1i 0.409242 + 0.0616832i
\(202\) −82090.7 102938.i −0.141552 0.177500i
\(203\) 673631. 77825.9i 1.14731 0.132551i
\(204\) 25080.9 31450.5i 0.0421957 0.0529117i
\(205\) 721815. 669747.i 1.19961 1.11308i
\(206\) −4467.84 + 673.418i −0.00733550 + 0.00110565i
\(207\) 760517. + 705657.i 1.23363 + 1.14464i
\(208\) 219366. + 149561.i 0.351570 + 0.239696i
\(209\) −83855.5 + 367395.i −0.132790 + 0.581792i
\(210\) −338242. 1.76044e6i −0.529272 2.75469i
\(211\) 45037.8 + 197324.i 0.0696420 + 0.305121i 0.997738 0.0672189i \(-0.0214126\pi\)
−0.928096 + 0.372340i \(0.878555\pi\)
\(212\) −11485.2 + 29263.7i −0.0175508 + 0.0447188i
\(213\) 40768.5 544018.i 0.0615709 0.821607i
\(214\) 243754. 422194.i 0.363846 0.630199i
\(215\) 713826. + 1.23638e6i 1.05316 + 1.82414i
\(216\) 340901. 164169.i 0.497157 0.239418i
\(217\) −500912. + 433536.i −0.722125 + 0.624995i
\(218\) 104323. + 50239.5i 0.148676 + 0.0715985i
\(219\) −25876.8 345301.i −0.0364586 0.486506i
\(220\) 29556.7 + 9117.03i 0.0411717 + 0.0126998i
\(221\) 209558. + 64640.0i 0.288618 + 0.0890268i
\(222\) −22305.8 297650.i −0.0303763 0.405343i
\(223\) 574404. + 276619.i 0.773492 + 0.372494i 0.778622 0.627493i \(-0.215919\pi\)
−0.00513066 + 0.999987i \(0.501633\pi\)
\(224\) 39906.9 92176.4i 0.0531408 0.122744i
\(225\) −2.39075e6 + 1.15132e6i −3.14831 + 1.51614i
\(226\) 580032. + 1.00465e6i 0.755407 + 1.30840i
\(227\) 315061. 545702.i 0.405817 0.702896i −0.588599 0.808425i \(-0.700320\pi\)
0.994416 + 0.105529i \(0.0336537\pi\)
\(228\) 10588.7 141296.i 0.0134898 0.180008i
\(229\) 176404. 449470.i 0.222290 0.566386i −0.775606 0.631217i \(-0.782556\pi\)
0.997896 + 0.0648314i \(0.0206510\pi\)
\(230\) 407476. + 1.78527e6i 0.507904 + 2.22527i
\(231\) −274341. + 320616.i −0.338268 + 0.395325i
\(232\) −217148. + 951388.i −0.264872 + 1.16048i
\(233\) −774651. 528148.i −0.934795 0.637333i −0.00287502 0.999996i \(-0.500915\pi\)
−0.931920 + 0.362663i \(0.881868\pi\)
\(234\) 366727. + 340273.i 0.437828 + 0.406245i
\(235\) 537017. 80942.2i 0.634334 0.0956105i
\(236\) 11670.7 10828.8i 0.0136401 0.0126562i
\(237\) −1.28482e6 + 1.61111e6i −1.48584 + 1.86318i
\(238\) −60728.4 + 553002.i −0.0694943 + 0.632826i
\(239\) −149318. 187239.i −0.169090 0.212032i 0.690065 0.723747i \(-0.257582\pi\)
−0.859155 + 0.511715i \(0.829010\pi\)
\(240\) 2.37926e6 + 358616.i 2.66633 + 0.401885i
\(241\) −458977. + 312925.i −0.509035 + 0.347054i −0.790445 0.612533i \(-0.790150\pi\)
0.281409 + 0.959588i \(0.409198\pi\)
\(242\) −284453. 724775.i −0.312228 0.795545i
\(243\) −1.18368e6 + 365118.i −1.28594 + 0.396659i
\(244\) −25481.6 −0.0274000
\(245\) −1.21813e6 1.29806e6i −1.29651 1.38159i
\(246\) −1.21374e6 −1.27876
\(247\) 738135. 227685.i 0.769828 0.237460i
\(248\) −348296. 887444.i −0.359600 0.916245i
\(249\) −43678.9 + 29779.8i −0.0446450 + 0.0304385i
\(250\) −2.84297e6 428508.i −2.87688 0.433620i
\(251\) 162466. + 203726.i 0.162771 + 0.204109i 0.856528 0.516101i \(-0.172617\pi\)
−0.693756 + 0.720210i \(0.744046\pi\)
\(252\) 48263.4 77294.1i 0.0478758 0.0766734i
\(253\) 268750. 337001.i 0.263965 0.331002i
\(254\) 126213. 117109.i 0.122750 0.113895i
\(255\) 1.96525e6 296214.i 1.89264 0.285270i
\(256\) 153774. + 142681.i 0.146650 + 0.136071i
\(257\) 26618.0 + 18147.9i 0.0251387 + 0.0171393i 0.575824 0.817574i \(-0.304681\pi\)
−0.550686 + 0.834713i \(0.685634\pi\)
\(258\) 391587. 1.71565e6i 0.366251 1.60465i
\(259\) −176680. 237984.i −0.163658 0.220444i
\(260\) −14108.3 61812.4i −0.0129432 0.0567077i
\(261\) −626574. + 1.59649e6i −0.569340 + 1.45065i
\(262\) 61975.0 826999.i 0.0557781 0.744307i
\(263\) 203937. 353230.i 0.181805 0.314896i −0.760690 0.649115i \(-0.775139\pi\)
0.942495 + 0.334219i \(0.108473\pi\)
\(264\) −303622. 525889.i −0.268117 0.464392i
\(265\) −1.39937e6 + 673899.i −1.22410 + 0.589495i
\(266\) 920534. + 1.72990e6i 0.797693 + 1.49905i
\(267\) −67591.5 32550.4i −0.0580249 0.0279433i
\(268\) 1589.44 + 21209.6i 0.00135178 + 0.0180383i
\(269\) −191849. 59177.5i −0.161651 0.0498628i 0.212873 0.977080i \(-0.431718\pi\)
−0.374524 + 0.927217i \(0.622194\pi\)
\(270\) 1.12157e6 + 345959.i 0.936306 + 0.288812i
\(271\) 139193. + 1.85740e6i 0.115131 + 1.53632i 0.693446 + 0.720508i \(0.256091\pi\)
−0.578315 + 0.815813i \(0.696290\pi\)
\(272\) −672772. 323990.i −0.551373 0.265527i
\(273\) 850322. + 158405.i 0.690521 + 0.128636i
\(274\) 236679. 113978.i 0.190451 0.0917162i
\(275\) 551236. + 954769.i 0.439547 + 0.761318i
\(276\) −81035.2 + 140357.i −0.0640326 + 0.110908i
\(277\) 101374. 1.35274e6i 0.0793828 1.05929i −0.805230 0.592963i \(-0.797958\pi\)
0.884612 0.466327i \(-0.154423\pi\)
\(278\) 264940. 675056.i 0.205606 0.523875i
\(279\) −372829. 1.63347e6i −0.286747 1.25632i
\(280\) 2.34507e6 1.03103e6i 1.78756 0.785916i
\(281\) −91358.2 + 400266.i −0.0690211 + 0.302401i −0.997642 0.0686280i \(-0.978138\pi\)
0.928621 + 0.371029i \(0.120995\pi\)
\(282\) −553103. 377099.i −0.414174 0.282379i
\(283\) −1.93008e6 1.79085e6i −1.43255 1.32921i −0.860965 0.508665i \(-0.830139\pi\)
−0.571583 0.820545i \(-0.693670\pi\)
\(284\) 48400.7 7295.23i 0.0356087 0.00536715i
\(285\) 5.13173e6 4.76155e6i 3.74241 3.47245i
\(286\) 129593. 162505.i 0.0936843 0.117476i
\(287\) −1.01871e6 + 644114.i −0.730037 + 0.461591i
\(288\) 158390. + 198615.i 0.112524 + 0.141101i
\(289\) 794102. + 119692.i 0.559283 + 0.0842984i
\(290\) −2.50113e6 + 1.70524e6i −1.74639 + 1.19067i
\(291\) 1.44505e6 + 3.68194e6i 1.00035 + 2.54885i
\(292\) 29687.8 9157.49i 0.0203761 0.00628520i
\(293\) 2.26937e6 1.54432 0.772158 0.635430i \(-0.219177\pi\)
0.772158 + 0.635430i \(0.219177\pi\)
\(294\) 12384.7 + 2.19419e6i 0.00835633 + 1.48049i
\(295\) 786584. 0.526248
\(296\) 407590. 125725.i 0.270392 0.0834049i
\(297\) −100937. 257183.i −0.0663985 0.169181i
\(298\) −274125. + 186896.i −0.178817 + 0.121915i
\(299\) −873679. 131686.i −0.565163 0.0851846i
\(300\) −258453. 324090.i −0.165798 0.207904i
\(301\) −581807. 1.64778e6i −0.370137 1.04829i
\(302\) 1.55111e6 1.94503e6i 0.978644 1.22718i
\(303\) 422041. 391597.i 0.264088 0.245038i
\(304\) −2.60083e6 + 392012.i −1.61409 + 0.243285i
\(305\) −922876. 856303.i −0.568059 0.527082i
\(306\) −1.16254e6 792606.i −0.709748 0.483898i
\(307\) −291458. + 1.27696e6i −0.176494 + 0.773270i 0.806738 + 0.590909i \(0.201231\pi\)
−0.983232 + 0.182360i \(0.941626\pi\)
\(308\) −33522.4 17596.3i −0.0201353 0.0105692i
\(309\) −4396.45 19262.1i −0.00261942 0.0114764i
\(310\) 1.08042e6 2.75287e6i 0.638542 1.62698i
\(311\) −190404. + 2.54076e6i −0.111628 + 1.48958i 0.607288 + 0.794482i \(0.292257\pi\)
−0.718916 + 0.695097i \(0.755362\pi\)
\(312\) −622365. + 1.07797e6i −0.361958 + 0.626930i
\(313\) −1.60471e6 2.77943e6i −0.925837 1.60360i −0.790210 0.612836i \(-0.790029\pi\)
−0.135627 0.990760i \(-0.543305\pi\)
\(314\) −2.11591e6 + 1.01897e6i −1.21108 + 0.583225i
\(315\) 4.34543e6 1.17751e6i 2.46750 0.668633i
\(316\) −166580. 80220.7i −0.0938437 0.0451927i
\(317\) 1989.64 + 26549.9i 0.00111206 + 0.0148393i 0.997732 0.0673084i \(-0.0214411\pi\)
−0.996620 + 0.0821477i \(0.973822\pi\)
\(318\) 1.82945e6 + 564309.i 1.01450 + 0.312932i
\(319\) 680898. + 210029.i 0.374632 + 0.115559i
\(320\) 274328. + 3.66066e6i 0.149760 + 1.99841i
\(321\) 1.92065e6 + 924934.i 1.04036 + 0.501012i
\(322\) −90129.4 2.23959e6i −0.0484425 1.20373i
\(323\) −1.95738e6 + 942626.i −1.04393 + 0.502728i
\(324\) −33461.4 57956.8i −0.0177085 0.0306720i
\(325\) 1.12992e6 1.95708e6i 0.593390 1.02778i
\(326\) −100281. + 1.33815e6i −0.0522605 + 0.697369i
\(327\) −184980. + 471323.i −0.0956657 + 0.243752i
\(328\) −385953. 1.69097e6i −0.198084 0.867864i
\(329\) −664347. 22980.8i −0.338380 0.0117051i
\(330\) 419160. 1.83646e6i 0.211882 0.928318i
\(331\) −3.25661e6 2.22032e6i −1.63379 1.11390i −0.901380 0.433029i \(-0.857445\pi\)
−0.732407 0.680868i \(-0.761603\pi\)
\(332\) −3476.97 3226.16i −0.00173123 0.00160635i
\(333\) 741260. 111727.i 0.366319 0.0552138i
\(334\) 1.41703e6 1.31481e6i 0.695043 0.644906i
\(335\) −655180. + 821569.i −0.318969 + 0.399974i
\(336\) −2.78263e6 964877.i −1.34464 0.466255i
\(337\) 513581. + 644010.i 0.246340 + 0.308900i 0.889594 0.456753i \(-0.150988\pi\)
−0.643254 + 0.765653i \(0.722416\pi\)
\(338\) 1.58482e6 + 238874.i 0.754552 + 0.113730i
\(339\) −4.19125e6 + 2.85754e6i −1.98082 + 1.35050i
\(340\) 65147.2 + 165992.i 0.0305632 + 0.0778736i
\(341\) −665192. + 205184.i −0.309785 + 0.0955561i
\(342\) −4.95604e6 −2.29123
\(343\) 1.17482e6 + 1.83504e6i 0.539182 + 0.842190i
\(344\) 2.51475e6 1.14577
\(345\) −7.65156e6 + 2.36019e6i −3.46101 + 1.06758i
\(346\) −383248. 976500.i −0.172104 0.438513i
\(347\) −2.98656e6 + 2.03620e6i −1.33152 + 0.907816i −0.999373 0.0354116i \(-0.988726\pi\)
−0.332148 + 0.943227i \(0.607773\pi\)
\(348\) −264927. 39931.2i −0.117267 0.0176752i
\(349\) 1.63788e6 + 2.05384e6i 0.719813 + 0.902616i 0.998327 0.0578156i \(-0.0184136\pi\)
−0.278515 + 0.960432i \(0.589842\pi\)
\(350\) 5.41644e6 + 1.87815e6i 2.36344 + 0.819523i
\(351\) −353095. + 442768.i −0.152976 + 0.191826i
\(352\) 77370.7 71789.5i 0.0332828 0.0308819i
\(353\) 4.57000e6 688816.i 1.95200 0.294216i 0.952065 0.305895i \(-0.0989555\pi\)
0.999932 + 0.0116784i \(0.00371743\pi\)
\(354\) −710746. 659476.i −0.301444 0.279699i
\(355\) 1.99810e6 + 1.36228e6i 0.841486 + 0.573716i
\(356\) 1497.80 6562.29i 0.000626367 0.00274429i
\(357\) −2.43123e6 84100.0i −1.00961 0.0349241i
\(358\) −270960. 1.18715e6i −0.111737 0.489552i
\(359\) −736610. + 1.87685e6i −0.301649 + 0.768588i 0.697022 + 0.717049i \(0.254508\pi\)
−0.998671 + 0.0515389i \(0.983587\pi\)
\(360\) −484171. + 6.46081e6i −0.196898 + 2.62743i
\(361\) −2.58816e6 + 4.48282e6i −1.04526 + 1.81044i
\(362\) 149498. + 258938.i 0.0599603 + 0.103854i
\(363\) 3.06745e6 1.47721e6i 1.22183 0.588403i
\(364\) 3120.60 + 77542.6i 0.00123448 + 0.0306752i
\(365\) 1.38295e6 + 665995.i 0.543344 + 0.261661i
\(366\) 115968. + 1.54749e6i 0.0452518 + 0.603843i
\(367\) 1.56144e6 + 481642.i 0.605148 + 0.186663i 0.582163 0.813072i \(-0.302207\pi\)
0.0229852 + 0.999736i \(0.492683\pi\)
\(368\) 2.87483e6 + 886766.i 1.10660 + 0.341342i
\(369\) −227797. 3.03974e6i −0.0870928 1.16217i
\(370\) 1.19211e6 + 574088.i 0.452700 + 0.218009i
\(371\) 1.83495e6 497227.i 0.692132 0.187551i
\(372\) 235819. 113564.i 0.0883529 0.0425485i
\(373\) 852272. + 1.47618e6i 0.317180 + 0.549372i 0.979899 0.199496i \(-0.0639306\pi\)
−0.662718 + 0.748869i \(0.730597\pi\)
\(374\) −292292. + 506264.i −0.108053 + 0.187153i
\(375\) 939508. 1.25369e7i 0.345003 4.60374i
\(376\) 349491. 890490.i 0.127487 0.324832i
\(377\) −325013. 1.42397e6i −0.117773 0.515999i
\(378\) −1.27206e6 667716.i −0.457907 0.240360i
\(379\) 69632.4 305079.i 0.0249008 0.109097i −0.960950 0.276721i \(-0.910752\pi\)
0.985851 + 0.167624i \(0.0536093\pi\)
\(380\) 518961. + 353822.i 0.184364 + 0.125697i
\(381\) 551899. + 512088.i 0.194781 + 0.180731i
\(382\) −4.00435e6 + 603559.i −1.40402 + 0.211622i
\(383\) −2.21257e6 + 2.05296e6i −0.770726 + 0.715129i −0.963967 0.266022i \(-0.914291\pi\)
0.193241 + 0.981151i \(0.438100\pi\)
\(384\) 2.45189e6 3.07457e6i 0.848541 1.06404i
\(385\) −622775. 1.76381e6i −0.214131 0.606455i
\(386\) 2.06482e6 + 2.58920e6i 0.705363 + 0.884498i
\(387\) 4.37025e6 + 658709.i 1.48330 + 0.223571i
\(388\) −293219. + 199913.i −0.0988808 + 0.0674158i
\(389\) −1.47365e6 3.75481e6i −0.493766 1.25810i −0.933050 0.359747i \(-0.882863\pi\)
0.439284 0.898348i \(-0.355232\pi\)
\(390\) −3.68964e6 + 1.13810e6i −1.22835 + 0.378896i
\(391\) 2.48498e6 0.822019
\(392\) −3.05299e6 + 714977.i −1.00348 + 0.235005i
\(393\) 3.62641e6 1.18439
\(394\) 1.97718e6 609879.i 0.641660 0.197926i
\(395\) −3.33729e6 8.50328e6i −1.07622 2.74217i
\(396\) 79115.0 53939.7i 0.0253525 0.0172850i
\(397\) −1.29338e6 194946.i −0.411860 0.0620779i −0.0601556 0.998189i \(-0.519160\pi\)
−0.351704 + 0.936111i \(0.614398\pi\)
\(398\) −2.37914e6 2.98335e6i −0.752857 0.944052i
\(399\) −7.24247e6 + 4.57931e6i −2.27748 + 1.44002i
\(400\) −4.79763e6 + 6.01603e6i −1.49926 + 1.88001i
\(401\) 129965. 120590.i 0.0403613 0.0374498i −0.659734 0.751499i \(-0.729331\pi\)
0.700096 + 0.714049i \(0.253141\pi\)
\(402\) 1.28082e6 193052.i 0.395296 0.0595813i
\(403\) 1.04599e6 + 970541.i 0.320824 + 0.297681i
\(404\) 42680.2 + 29098.8i 0.0130099 + 0.00886997i
\(405\) 735745. 3.22351e6i 0.222890 0.976544i
\(406\) 3.39191e6 1.49128e6i 1.02124 0.448999i
\(407\) −69304.8 303644.i −0.0207385 0.0908613i
\(408\) 1.27899e6 3.25882e6i 0.380379 0.969191i
\(409\) 115161. 1.53671e6i 0.0340405 0.454239i −0.953975 0.299886i \(-0.903052\pi\)
0.988016 0.154353i \(-0.0493294\pi\)
\(410\) 2.69017e6 4.65950e6i 0.790350 1.36893i
\(411\) 574348. + 994799.i 0.167714 + 0.290490i
\(412\) 1597.13 769.139i 0.000463552 0.000223235i
\(413\) −946512. 176324.i −0.273055 0.0508671i
\(414\) 5.10742e6 + 2.45961e6i 1.46454 + 0.705285i
\(415\) −17512.4 233686.i −0.00499142 0.0666059i
\(416\) −206736. 63769.7i −0.0585711 0.0180668i
\(417\) 3.03018e6 + 934687.i 0.853352 + 0.263224i
\(418\) 153877. + 2.05335e6i 0.0430758 + 0.574807i
\(419\) −141213. 68004.4i −0.0392951 0.0189235i 0.414133 0.910216i \(-0.364085\pi\)
−0.453428 + 0.891293i \(0.649799\pi\)
\(420\) 330389. + 620880.i 0.0913909 + 0.171745i
\(421\) −2.42164e6 + 1.16620e6i −0.665893 + 0.320677i −0.736117 0.676854i \(-0.763343\pi\)
0.0702244 + 0.997531i \(0.477628\pi\)
\(422\) 552960. + 957755.i 0.151152 + 0.261802i
\(423\) 840615. 1.45599e6i 0.228426 0.395646i
\(424\) −204451. + 2.72821e6i −0.0552300 + 0.736993i
\(425\) −2.32205e6 + 5.91648e6i −0.623590 + 1.58888i
\(426\) −663312. 2.90616e6i −0.177090 0.775882i
\(427\) 918561. + 1.23728e6i 0.243803 + 0.328397i
\(428\) −42560.7 + 186471.i −0.0112305 + 0.0492041i
\(429\) 750954. + 511992.i 0.197002 + 0.134314i
\(430\) 5.71840e6 + 5.30590e6i 1.49143 + 1.38385i
\(431\) −3.59702e6 + 542163.i −0.932716 + 0.140584i −0.597783 0.801658i \(-0.703952\pi\)
−0.334932 + 0.942242i \(0.608713\pi\)
\(432\) 1.41356e6 1.31160e6i 0.364423 0.338135i
\(433\) −1.93097e6 + 2.42136e6i −0.494944 + 0.620641i −0.965081 0.261953i \(-0.915633\pi\)
0.470136 + 0.882594i \(0.344205\pi\)
\(434\) −1.91719e6 + 3.07039e6i −0.488586 + 0.782473i
\(435\) −8.25307e6 1.03490e7i −2.09118 2.62226i
\(436\) −44921.1 6770.76i −0.0113171 0.00170577i
\(437\) 7.23205e6 4.93073e6i 1.81158 1.23512i
\(438\) −691242. 1.76126e6i −0.172165 0.438670i
\(439\) −1.43474e6 + 442558.i −0.355313 + 0.109600i −0.467273 0.884113i \(-0.654763\pi\)
0.111960 + 0.993713i \(0.464287\pi\)
\(440\) 2.69183e6 0.662850
\(441\) −5.49289e6 + 442826.i −1.34495 + 0.108427i
\(442\) 1.19828e6 0.291744
\(443\) 5.91551e6 1.82469e6i 1.43213 0.441754i 0.520889 0.853625i \(-0.325601\pi\)
0.911242 + 0.411871i \(0.135124\pi\)
\(444\) 42783.5 + 109011.i 0.0102996 + 0.0262429i
\(445\) 274771. 187336.i 0.0657765 0.0448457i
\(446\) 3.44467e6 + 519200.i 0.819994 + 0.123594i
\(447\) −904542. 1.13426e6i −0.214121 0.268500i
\(448\) 490485. 4.46643e6i 0.115460 1.05139i
\(449\) −1.09985e6 + 1.37916e6i −0.257464 + 0.322849i −0.893717 0.448631i \(-0.851912\pi\)
0.636254 + 0.771480i \(0.280483\pi\)
\(450\) −1.06286e7 + 9.86190e6i −2.47426 + 2.29577i
\(451\) −1.25233e6 + 188758.i −0.289919 + 0.0436983i
\(452\) −333636. 309569.i −0.0768116 0.0712708i
\(453\) 8.98822e6 + 6.12807e6i 2.05792 + 1.40307i
\(454\) 766149. 3.35672e6i 0.174451 0.764320i
\(455\) −2.49279e6 + 2.91326e6i −0.564491 + 0.659707i
\(456\) −2.74392e6 1.20219e7i −0.617960 2.70746i
\(457\) 1.81283e6 4.61902e6i 0.406039 1.03457i −0.570894 0.821023i \(-0.693403\pi\)
0.976933 0.213546i \(-0.0685013\pi\)
\(458\) 197162. 2.63094e6i 0.0439197 0.586068i
\(459\) 796391. 1.37939e6i 0.176439 0.305601i
\(460\) −359217. 622182.i −0.0791521 0.137095i
\(461\) 4.28336e6 2.06276e6i 0.938712 0.452060i 0.0989973 0.995088i \(-0.468436\pi\)
0.839715 + 0.543028i \(0.182722\pi\)
\(462\) −916052. + 2.11589e6i −0.199671 + 0.461198i
\(463\) 3.63931e6 + 1.75260e6i 0.788980 + 0.379953i 0.784572 0.620037i \(-0.212883\pi\)
0.00440805 + 0.999990i \(0.498597\pi\)
\(464\) 371658. + 4.95943e6i 0.0801398 + 1.06939i
\(465\) 1.23570e7 + 3.81164e6i 2.65022 + 0.817485i
\(466\) −4.89533e6 1.51001e6i −1.04428 0.322118i
\(467\) −126306. 1.68543e6i −0.0267997 0.357618i −0.994442 0.105290i \(-0.966423\pi\)
0.967642 0.252328i \(-0.0811961\pi\)
\(468\) −176838. 85160.5i −0.0373216 0.0179731i
\(469\) 972557. 841742.i 0.204166 0.176704i
\(470\) 2.67358e6 1.28753e6i 0.558275 0.268851i
\(471\) −5.13467e6 8.89351e6i −1.06650 1.84723i
\(472\) 692768. 1.19991e6i 0.143131 0.247910i
\(473\) 137222. 1.83110e6i 0.0282014 0.376321i
\(474\) −4.11366e6 + 1.04814e7i −0.840974 + 2.14277i
\(475\) 4.98168e6 + 2.18262e7i 1.01308 + 4.43857i
\(476\) −41183.2 214345.i −0.00833111 0.0433607i
\(477\) −1.06993e6 + 4.68765e6i −0.215307 + 0.943321i
\(478\) −1.08120e6 737150.i −0.216439 0.147566i
\(479\) −5.98490e6 5.55317e6i −1.19184 1.10587i −0.992026 0.126032i \(-0.959776\pi\)
−0.199814 0.979834i \(-0.564034\pi\)
\(480\) −1.93879e6 + 292226.i −0.384086 + 0.0578917i
\(481\) −467992. + 434233.i −0.0922308 + 0.0855777i
\(482\) −1.89248e6 + 2.37310e6i −0.371035 + 0.465263i
\(483\) 9.73634e6 1.12486e6i 1.89901 0.219396i
\(484\) 190457. + 238826.i 0.0369559 + 0.0463413i
\(485\) −1.73377e7 2.61323e6i −3.34685 0.504456i
\(486\) −5.59236e6 + 3.81281e6i −1.07400 + 0.732241i
\(487\) −628107. 1.60039e6i −0.120008 0.305776i 0.858229 0.513268i \(-0.171565\pi\)
−0.978237 + 0.207492i \(0.933470\pi\)
\(488\) −2.11907e6 + 653646.i −0.402805 + 0.124249i
\(489\) −5.86784e6 −1.10970
\(490\) −8.45086e6 4.81571e6i −1.59005 0.906088i
\(491\) 1.68185e6 0.314836 0.157418 0.987532i \(-0.449683\pi\)
0.157418 + 0.987532i \(0.449683\pi\)
\(492\) 455036. 140360.i 0.0847487 0.0261415i
\(493\) 1.50080e6 + 3.82397e6i 0.278102 + 0.708593i
\(494\) 3.48735e6 2.37763e6i 0.642951 0.438357i
\(495\) 4.67797e6 + 705091.i 0.858114 + 0.129340i
\(496\) −3.02930e6 3.79862e6i −0.552889 0.693301i
\(497\) −2.09898e6 2.08717e6i −0.381169 0.379023i
\(498\) −180100. + 225838.i −0.0325416 + 0.0408059i
\(499\) 5.46472e6 5.07052e6i 0.982463 0.911592i −0.0136296 0.999907i \(-0.504339\pi\)
0.996093 + 0.0883147i \(0.0281481\pi\)
\(500\) 1.11539e6 168118.i 0.199527 0.0300739i
\(501\) 6.19632e6 + 5.74934e6i 1.10291 + 1.02335i
\(502\) 1.17640e6 + 802058.i 0.208352 + 0.142052i
\(503\) 1.18515e6 5.19249e6i 0.208859 0.915073i −0.756468 0.654031i \(-0.773077\pi\)
0.965327 0.261042i \(-0.0840661\pi\)
\(504\) 2.03090e6 7.66588e6i 0.356132 1.34427i
\(505\) 567903. + 2.48814e6i 0.0990936 + 0.434157i
\(506\) 860467. 2.19244e6i 0.149403 0.380672i
\(507\) −523733. + 6.98873e6i −0.0904878 + 1.20748i
\(508\) −33775.0 + 58500.1i −0.00580679 + 0.0100577i
\(509\) −1.15109e6 1.99374e6i −0.196931 0.341094i 0.750601 0.660756i \(-0.229764\pi\)
−0.947532 + 0.319662i \(0.896431\pi\)
\(510\) 9.78417e6 4.71181e6i 1.66571 0.802162i
\(511\) −1.51484e6 1.11141e6i −0.256634 0.188288i
\(512\) 5.77794e6 + 2.78251e6i 0.974088 + 0.469096i
\(513\) −419261. 5.59465e6i −0.0703381 0.938597i
\(514\) 168210. + 51885.9i 0.0280830 + 0.00866247i
\(515\) 83690.9 + 25815.2i 0.0139046 + 0.00428902i
\(516\) 51595.1 + 688489.i 0.00853069 + 0.113834i
\(517\) −629333. 303071.i −0.103551 0.0498675i
\(518\) −1.30579e6 958038.i −0.213821 0.156877i
\(519\) 4.13282e6 1.99026e6i 0.673486 0.324334i
\(520\) −2.75885e6 4.77847e6i −0.447425 0.774962i
\(521\) −4.20914e6 + 7.29044e6i −0.679358 + 1.17668i 0.295816 + 0.955245i \(0.404408\pi\)
−0.975174 + 0.221438i \(0.928925\pi\)
\(522\) −700305. + 9.34492e6i −0.112489 + 1.50107i
\(523\) 3.23284e6 8.23715e6i 0.516809 1.31681i −0.399646 0.916670i \(-0.630867\pi\)
0.916455 0.400139i \(-0.131038\pi\)
\(524\) 72401.6 + 317212.i 0.0115191 + 0.0504686i
\(525\) −6.41978e6 + 2.42323e7i −1.01653 + 3.83704i
\(526\) 495924. 2.17278e6i 0.0781539 0.342414i
\(527\) −3.31584e6 2.26070e6i −0.520077 0.354582i
\(528\) −2.26861e6 2.10497e6i −0.354141 0.328595i
\(529\) −3.53555e6 + 532898.i −0.549310 + 0.0827952i
\(530\) −6.22119e6 + 5.77242e6i −0.962020 + 0.892624i
\(531\) 1.51822e6 1.90379e6i 0.233668 0.293011i
\(532\) −545162. 542093.i −0.0835115 0.0830414i
\(533\) 1.61859e6 + 2.02965e6i 0.246785 + 0.309459i
\(534\) −405342. 61095.5i −0.0615133 0.00927164i
\(535\) −7.80775e6 + 5.32324e6i −1.17935 + 0.804065i
\(536\) 676242. + 1.72304e6i 0.101669 + 0.259049i
\(537\) 5.08807e6 1.56946e6i 0.761408 0.234863i
\(538\) −1.09702e6 −0.163402
\(539\) 354014. + 2.26202e6i 0.0524866 + 0.335371i
\(540\) −460489. −0.0679572
\(541\) −3.16976e6 + 977742.i −0.465622 + 0.143625i −0.518684 0.854966i \(-0.673578\pi\)
0.0530623 + 0.998591i \(0.483102\pi\)
\(542\) 3.71824e6 + 9.47392e6i 0.543675 + 1.38526i
\(543\) −1.08026e6 + 736506.i −0.157227 + 0.107196i
\(544\) 601685. + 90689.4i 0.0871710 + 0.0131389i
\(545\) −1.39939e6 1.75478e6i −0.201813 0.253065i
\(546\) 4.69494e6 542415.i 0.673982 0.0778663i
\(547\) −3.85416e6 + 4.83296e6i −0.550758 + 0.690629i −0.976819 0.214065i \(-0.931329\pi\)
0.426061 + 0.904694i \(0.359901\pi\)
\(548\) −75551.0 + 70101.1i −0.0107470 + 0.00997179i
\(549\) −3.85382e6 + 580870.i −0.545709 + 0.0822524i
\(550\) 4.41591e6 + 4.09736e6i 0.622462 + 0.577561i
\(551\) 1.19553e7 + 8.15100e6i 1.67758 + 1.14375i
\(552\) −3.13855e6 + 1.37509e7i −0.438411 + 1.92081i
\(553\) 2.10969e6 + 1.09803e7i 0.293364 + 1.52686i
\(554\) −1.64937e6 7.22638e6i −0.228320 1.00034i
\(555\) −2.11378e6 + 5.38581e6i −0.291291 + 0.742196i
\(556\) −21261.8 + 283719.i −0.00291685 + 0.0389226i
\(557\) 4.18920e6 7.25591e6i 0.572128 0.990955i −0.424219 0.905560i \(-0.639451\pi\)
0.996347 0.0853955i \(-0.0272154\pi\)
\(558\) −4.57748e6 7.92843e6i −0.622359 1.07796i
\(559\) −3.39117e6 + 1.63310e6i −0.459007 + 0.221046i
\(560\) 9.87161e6 8.54381e6i 1.33020 1.15128i
\(561\) −2.30309e6 1.10911e6i −0.308962 0.148788i
\(562\) 167645. + 2.23706e6i 0.0223897 + 0.298770i
\(563\) −9.86907e6 3.04421e6i −1.31222 0.404765i −0.441814 0.897107i \(-0.645665\pi\)
−0.870402 + 0.492341i \(0.836141\pi\)
\(564\) 250969. + 77413.7i 0.0332217 + 0.0102475i
\(565\) −1.68041e6 2.24236e7i −0.221460 2.95518i
\(566\) −1.29619e7 6.24211e6i −1.70070 0.819012i
\(567\) −1.60793e6 + 3.71398e6i −0.210044 + 0.485157i
\(568\) 3.83791e6 1.84824e6i 0.499142 0.240374i
\(569\) 5.13888e6 + 8.90080e6i 0.665408 + 1.15252i 0.979175 + 0.203020i \(0.0650757\pi\)
−0.313767 + 0.949500i \(0.601591\pi\)
\(570\) 1.91257e7 3.31266e7i 2.46564 4.27061i
\(571\) 358096. 4.77845e6i 0.0459630 0.613334i −0.925897 0.377776i \(-0.876689\pi\)
0.971860 0.235558i \(-0.0756919\pi\)
\(572\) −29792.5 + 75910.0i −0.00380730 + 0.00970084i
\(573\) −3.94037e6 1.72639e7i −0.501361 2.19660i
\(574\) −4.28162e6 + 5.00383e6i −0.542411 + 0.633903i
\(575\) 5.69814e6 2.49652e7i 0.718727 3.14895i
\(576\) 9.38949e6 + 6.40165e6i 1.17920 + 0.803962i
\(577\) −1.96999e6 1.82788e6i −0.246334 0.228564i 0.547336 0.836913i \(-0.315642\pi\)
−0.793670 + 0.608348i \(0.791832\pi\)
\(578\) 4.33904e6 654006.i 0.540225 0.0814258i
\(579\) −1.06155e7 + 9.84978e6i −1.31597 + 1.22104i
\(580\) 740484. 928538.i 0.0914000 0.114612i
\(581\) −31311.2 + 285125.i −0.00384822 + 0.0350424i
\(582\) 1.34751e7 + 1.68973e7i 1.64902 + 2.06780i
\(583\) 1.97537e6 + 297739.i 0.240701 + 0.0362798i
\(584\) 2.23396e6 1.52309e6i 0.271046 0.184796i
\(585\) −3.54279e6 9.02689e6i −0.428012 1.09056i
\(586\) 1.18491e7 3.65497e6i 1.42542 0.439684i
\(587\) −1.18297e7 −1.41702 −0.708512 0.705699i \(-0.750633\pi\)
−0.708512 + 0.705699i \(0.750633\pi\)
\(588\) −258385. 821178.i −0.0308193 0.0979476i
\(589\) −1.41358e7 −1.67893
\(590\) 4.10702e6 1.26685e6i 0.485732 0.149828i
\(591\) 3.30549e6 + 8.42225e6i 0.389285 + 0.991881i
\(592\) 1.79609e6 1.22455e6i 0.210631 0.143606i
\(593\) 4.17547e6 + 629351.i 0.487606 + 0.0734947i 0.388244 0.921557i \(-0.373082\pi\)
0.0993617 + 0.995051i \(0.468320\pi\)
\(594\) −941235. 1.18027e6i −0.109454 0.137251i
\(595\) 5.71149e6 9.14699e6i 0.661389 1.05922i
\(596\) 81157.6 101768.i 0.00935866 0.0117354i
\(597\) 1.22315e7 1.13492e7i 1.40458 1.30326i
\(598\) −4.77386e6 + 719543.i −0.545904 + 0.0822818i
\(599\) 5.71703e6 + 5.30463e6i 0.651034 + 0.604071i 0.934951 0.354778i \(-0.115443\pi\)
−0.283917 + 0.958849i \(0.591634\pi\)
\(600\) −2.98067e7 2.03218e7i −3.38014 2.30454i
\(601\) −804636. + 3.52534e6i −0.0908685 + 0.398121i −0.999824 0.0187727i \(-0.994024\pi\)
0.908955 + 0.416894i \(0.136881\pi\)
\(602\) −5.69167e6 7.66656e6i −0.640101 0.862202i
\(603\) 723874. + 3.17150e6i 0.0810718 + 0.355199i
\(604\) −356588. + 908572.i −0.0397718 + 0.101337i
\(605\) −1.12784e6 + 1.50499e7i −0.125273 + 1.67165i
\(606\) 1.57292e6 2.72438e6i 0.173991 0.301361i
\(607\) −4.22821e6 7.32347e6i −0.465784 0.806762i 0.533452 0.845830i \(-0.320894\pi\)
−0.999237 + 0.0390683i \(0.987561\pi\)
\(608\) 1.93103e6 929935.i 0.211851 0.102022i
\(609\) 7.61119e6 + 1.43032e7i 0.831590 + 1.56275i
\(610\) −6.19778e6 2.98469e6i −0.674390 0.324769i
\(611\) 106999. + 1.42780e6i 0.0115951 + 0.154726i
\(612\) 527500. + 162712.i 0.0569303 + 0.0175607i
\(613\) 8.50473e6 + 2.62336e6i 0.914133 + 0.281973i 0.715917 0.698186i \(-0.246009\pi\)
0.198216 + 0.980158i \(0.436485\pi\)
\(614\) 534832. + 7.13684e6i 0.0572528 + 0.763985i
\(615\) 2.11970e7 + 1.02079e7i 2.25989 + 1.08830i
\(616\) −3.23912e6 603412.i −0.343935 0.0640711i
\(617\) −6.98067e6 + 3.36172e6i −0.738218 + 0.355507i −0.764910 0.644137i \(-0.777217\pi\)
0.0266926 + 0.999644i \(0.491502\pi\)
\(618\) −53978.2 93493.1i −0.00568522 0.00984710i
\(619\) 7.27061e6 1.25931e7i 0.762683 1.32101i −0.178779 0.983889i \(-0.557215\pi\)
0.941463 0.337117i \(-0.109452\pi\)
\(620\) −86705.6 + 1.15701e6i −0.00905874 + 0.120880i
\(621\) −2.34447e6 + 5.97361e6i −0.243958 + 0.621596i
\(622\) 3.09791e6 + 1.35728e7i 0.321065 + 1.40668i
\(623\) −372631. + 163831.i −0.0384644 + 0.0169112i
\(624\) −1.41159e6 + 6.18458e6i −0.145127 + 0.635841i
\(625\) 2.51503e7 + 1.71472e7i 2.57539 + 1.75587i
\(626\) −1.28552e7 1.19278e7i −1.31112 1.21654i
\(627\) −8.90340e6 + 1.34197e6i −0.904456 + 0.136325i
\(628\) 675426. 626703.i 0.0683406 0.0634108i
\(629\) 1.11951e6 1.40382e6i 0.112824 0.141476i
\(630\) 2.07925e7 1.31468e7i 2.08716 1.31968i
\(631\) 5.58905e6 + 7.00845e6i 0.558811 + 0.700726i 0.978337 0.207017i \(-0.0663754\pi\)
−0.419527 + 0.907743i \(0.637804\pi\)
\(632\) −1.59107e7 2.39816e6i −1.58452 0.238828i
\(633\) −3.99563e6 + 2.72417e6i −0.396347 + 0.270225i
\(634\) 53149.0 + 135421.i 0.00525136 + 0.0133803i
\(635\) −3.18913e6 + 983716.i −0.313861 + 0.0968134i
\(636\) −751125. −0.0736324
\(637\) 3.65267e6 2.94679e6i 0.356666 0.287740i
\(638\) 3.89346e6 0.378690
\(639\) 7.15381e6 2.20666e6i 0.693083 0.213788i
\(640\) 6.36873e6 + 1.62273e7i 0.614615 + 1.56601i
\(641\) 5.64369e6 3.84780e6i 0.542523 0.369886i −0.260834 0.965384i \(-0.583997\pi\)
0.803357 + 0.595498i \(0.203045\pi\)
\(642\) 1.15180e7 + 1.73606e6i 1.10291 + 0.166237i
\(643\) −2.06762e6 2.59271e6i −0.197216 0.247302i 0.673383 0.739294i \(-0.264840\pi\)
−0.870600 + 0.491992i \(0.836269\pi\)
\(644\) 292781. + 829207.i 0.0278182 + 0.0787859i
\(645\) −2.12679e7 + 2.66691e7i −2.01292 + 2.52412i
\(646\) −8.70199e6 + 8.07426e6i −0.820422 + 0.761240i
\(647\) −3.03861e6 + 457997.i −0.285374 + 0.0430133i −0.290170 0.956975i \(-0.593712\pi\)
0.00479527 + 0.999989i \(0.498474\pi\)
\(648\) −4.26937e6 3.96140e6i −0.399417 0.370605i
\(649\) −835903. 569909.i −0.0779012 0.0531122i
\(650\) 2.74769e6 1.20384e7i 0.255084 1.11760i
\(651\) −1.40150e7 7.35664e6i −1.29611 0.680341i
\(652\) −117152. 513276.i −0.0107927 0.0472859i
\(653\) −7.07331e6 + 1.80225e7i −0.649142 + 1.65399i 0.102755 + 0.994707i \(0.467234\pi\)
−0.751897 + 0.659280i \(0.770861\pi\)
\(654\) −206748. + 2.75886e6i −0.0189015 + 0.252223i
\(655\) −8.03767e6 + 1.39216e7i −0.732026 + 1.26791i
\(656\) −4.41974e6 7.65521e6i −0.400993 0.694540i
\(657\) 4.28123e6 2.06173e6i 0.386950 0.186345i
\(658\) −3.50579e6 + 949985.i −0.315661 + 0.0855366i
\(659\) −6.51766e6 3.13874e6i −0.584626 0.281541i 0.118100 0.993002i \(-0.462320\pi\)
−0.702726 + 0.711461i \(0.748034\pi\)
\(660\) 55228.2 + 736969.i 0.00493515 + 0.0658551i
\(661\) −4.73264e6 1.45982e6i −0.421308 0.129956i 0.0768500 0.997043i \(-0.475514\pi\)
−0.498158 + 0.867086i \(0.665990\pi\)
\(662\) −2.05798e7 6.34803e6i −1.82514 0.562981i
\(663\) 391569. + 5.22513e6i 0.0345959 + 0.461650i
\(664\) −371904. 179100.i −0.0327349 0.0157643i
\(665\) −1.52738e6 3.79533e7i −0.133935 3.32809i
\(666\) 3.69042e6 1.77721e6i 0.322397 0.155258i
\(667\) −8.27529e6 1.43332e7i −0.720226 1.24747i
\(668\) −379201. + 656795.i −0.0328797 + 0.0569494i
\(669\) −1.13835e6 + 1.51903e7i −0.0983358 + 1.31220i
\(670\) −2.09772e6 + 5.34490e6i −0.180534 + 0.459994i
\(671\) 360317. + 1.57865e6i 0.0308943 + 0.135357i
\(672\) 2.39850e6 + 82967.7i 0.204888 + 0.00708739i
\(673\) 3.94854e6 1.72997e7i 0.336046 1.47231i −0.471162 0.882046i \(-0.656165\pi\)
0.807208 0.590267i \(-0.200977\pi\)
\(674\) 3.71880e6 + 2.53543e6i 0.315321 + 0.214982i
\(675\) −1.20318e7 1.11639e7i −1.01641 0.943094i
\(676\) −621780. + 93718.3i −0.0523323 + 0.00788783i
\(677\) 1.24956e7 1.15942e7i 1.04782 0.972234i 0.0481730 0.998839i \(-0.484660\pi\)
0.999646 + 0.0266050i \(0.00846965\pi\)
\(678\) −1.72816e7 + 2.16705e7i −1.44381 + 1.81048i
\(679\) 2.02769e7 + 7.03104e6i 1.68783 + 0.585255i
\(680\) 9.67568e6 + 1.21329e7i 0.802434 + 1.00622i
\(681\) 1.48874e7 + 2.24392e6i 1.23013 + 0.185413i
\(682\) −3.14272e6 + 2.14267e6i −0.258729 + 0.176399i
\(683\) 3.52850e6 + 8.99046e6i 0.289426 + 0.737446i 0.999447 + 0.0332648i \(0.0105905\pi\)
−0.710020 + 0.704181i \(0.751314\pi\)
\(684\) 1.85804e6 573129.i 0.151850 0.0468395i
\(685\) −5.09200e6 −0.414631
\(686\) 9.08957e6 + 7.68922e6i 0.737451 + 0.623839i
\(687\) 1.15367e7 0.932592
\(688\) 1.22468e7 3.77762e6i 0.986393 0.304262i
\(689\) −1.49602e6 3.81179e6i −0.120057 0.305901i
\(690\) −3.61501e7 + 2.46467e7i −2.89059 + 1.97077i
\(691\) −6.83824e6 1.03070e6i −0.544815 0.0821176i −0.129132 0.991627i \(-0.541219\pi\)
−0.415683 + 0.909510i \(0.636457\pi\)
\(692\) 256606. + 321774.i 0.0203705 + 0.0255438i
\(693\) −5.47104e6 1.89709e6i −0.432750 0.150056i
\(694\) −1.23144e7 + 1.54418e7i −0.970542 + 1.21702i
\(695\) −1.03044e7 + 9.56108e6i −0.809209 + 0.750836i
\(696\) −2.30558e7 + 3.47511e6i −1.80409 + 0.271922i
\(697\) −5.35225e6 4.96617e6i −0.417306 0.387204i
\(698\) 1.18598e7 + 8.08586e6i 0.921379 + 0.628185i
\(699\) 4.98477e6 2.18397e7i 0.385880 1.69065i
\(700\) −2.24784e6 77756.3i −0.173388 0.00599778i
\(701\) −2.63034e6 1.15243e7i −0.202170 0.885765i −0.969612 0.244647i \(-0.921328\pi\)
0.767442 0.641118i \(-0.221529\pi\)
\(702\) −1.13052e6 + 2.88052e6i −0.0865837 + 0.220612i
\(703\) 472635. 6.30687e6i 0.0360693 0.481311i
\(704\) 2.36075e6 4.08894e6i 0.179522 0.310942i
\(705\) 6.48797e6 + 1.12375e7i 0.491627 + 0.851524i
\(706\) 2.27521e7 1.09568e7i 1.71795 0.827319i
\(707\) −125614. 3.12134e6i −0.00945127 0.234851i
\(708\) 342725. + 165048.i 0.0256958 + 0.0123745i
\(709\) −394763. 5.26775e6i −0.0294932 0.393559i −0.992342 0.123519i \(-0.960582\pi\)
0.962849 0.270040i \(-0.0870369\pi\)
\(710\) 1.26268e7 + 3.89486e6i 0.940044 + 0.289965i
\(711\) −2.70222e7 8.33525e6i −2.00469 0.618364i
\(712\) −43775.7 584147.i −0.00323619 0.0431839i
\(713\) 1.45676e7 + 7.01538e6i 1.07316 + 0.516806i
\(714\) −1.28297e7 + 3.47654e6i −0.941826 + 0.255213i
\(715\) −3.62995e6 + 1.74809e6i −0.265544 + 0.127879i
\(716\) 238869. + 413733.i 0.0174131 + 0.0301605i
\(717\) 2.86105e6 4.95549e6i 0.207839 0.359989i
\(718\) −823289. + 1.09860e7i −0.0595993 + 0.795297i
\(719\) 3.27018e6 8.33228e6i 0.235911 0.601093i −0.763065 0.646322i \(-0.776306\pi\)
0.998977 + 0.0452289i \(0.0144017\pi\)
\(720\) 7.34744e6 + 3.21912e7i 0.528208 + 2.31423i
\(721\) −94919.9 49824.5i −0.00680016 0.00356948i
\(722\) −6.29375e6 + 2.75747e7i −0.449331 + 1.96865i
\(723\) −1.09664e7 7.47676e6i −0.780222 0.531946i
\(724\) −85991.6 79788.6i −0.00609691 0.00565711i
\(725\) 4.18586e7 6.30916e6i 2.95760 0.445786i
\(726\) 1.36370e7 1.26533e7i 0.960237 0.890970i
\(727\) 3.87931e6 4.86450e6i 0.272219 0.341352i −0.626865 0.779128i \(-0.715662\pi\)
0.899084 + 0.437776i \(0.144234\pi\)
\(728\) 2.24861e6 + 6.36846e6i 0.157248 + 0.445355i
\(729\) −1.37236e7 1.72088e7i −0.956421 1.19931i
\(730\) 8.29349e6 + 1.25004e6i 0.576010 + 0.0868195i
\(731\) 8.74659e6 5.96332e6i 0.605404 0.412757i
\(732\) −222432. 566748.i −0.0153433 0.0390942i
\(733\) −2.03519e7 + 6.27774e6i −1.39909 + 0.431562i −0.900341 0.435184i \(-0.856683\pi\)
−0.498749 + 0.866746i \(0.666207\pi\)
\(734\) 8.92854e6 0.611703
\(735\) 1.82375e7 3.84239e7i 1.24522 2.62351i
\(736\) −2.45153e6 −0.166818
\(737\) 1.29152e6 398380.i 0.0875853 0.0270165i
\(738\) −6.08512e6 1.55046e7i −0.411271 1.04790i
\(739\) 1.58138e7 1.07817e7i 1.06518 0.726230i 0.101921 0.994792i \(-0.467501\pi\)
0.963262 + 0.268563i \(0.0865486\pi\)
\(740\) −513314. 77369.6i −0.0344591 0.00519387i
\(741\) 1.15073e7 + 1.44297e7i 0.769891 + 0.965413i
\(742\) 8.78005e6 5.55150e6i 0.585447 0.370169i
\(743\) −1.63141e7 + 2.04572e7i −1.08415 + 1.35949i −0.155800 + 0.987789i \(0.549796\pi\)
−0.928354 + 0.371698i \(0.878776\pi\)
\(744\) 1.66978e7 1.54933e7i 1.10593 1.02615i
\(745\) 6.35923e6 958499.i 0.419772 0.0632705i
\(746\) 6.82748e6 + 6.33498e6i 0.449173 + 0.416772i
\(747\) −599399. 408663.i −0.0393020 0.0267956i
\(748\) 51035.6 223602.i 0.00333518 0.0146124i
\(749\) 1.05885e7 4.65533e6i 0.689652 0.303212i
\(750\) −1.52860e7 6.69723e7i −0.992294 4.34753i
\(751\) 1.80607e6 4.60178e6i 0.116851 0.297732i −0.860468 0.509505i \(-0.829828\pi\)
0.977319 + 0.211773i \(0.0679237\pi\)
\(752\) 364331. 4.86166e6i 0.0234937 0.313502i
\(753\) −3.11298e6 + 5.39184e6i −0.200073 + 0.346537i
\(754\) −3.99041e6 6.91159e6i −0.255616 0.442741i
\(755\) −4.34471e7 + 2.09230e7i −2.77392 + 1.33585i
\(756\) 554116. + 103225.i 0.0352611 + 0.00656874i
\(757\) −593309. 285723.i −0.0376306 0.0181219i 0.414974 0.909833i \(-0.363791\pi\)
−0.452604 + 0.891711i \(0.649505\pi\)
\(758\) −127777. 1.70507e6i −0.00807756 0.107788i
\(759\) 9.84136e6 + 3.03566e6i 0.620085 + 0.191271i
\(760\) 5.22334e7 + 1.61119e7i 3.28030 + 1.01184i