Properties

Label 49.6.g.a.25.20
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 25.20
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(9.25626 - 2.85518i) q^{2} +(4.05332 + 10.3277i) q^{3} +(51.0867 - 34.8304i) q^{4} +(20.5483 + 3.09715i) q^{5} +(67.0061 + 84.0230i) q^{6} +(13.7032 + 128.916i) q^{7} +(180.161 - 225.915i) q^{8} +(87.8996 - 81.5589i) q^{9} +O(q^{10})\) \(q+(9.25626 - 2.85518i) q^{2} +(4.05332 + 10.3277i) q^{3} +(51.0867 - 34.8304i) q^{4} +(20.5483 + 3.09715i) q^{5} +(67.0061 + 84.0230i) q^{6} +(13.7032 + 128.916i) q^{7} +(180.161 - 225.915i) q^{8} +(87.8996 - 81.5589i) q^{9} +(199.043 - 30.0009i) q^{10} +(-385.204 - 357.417i) q^{11} +(566.789 + 386.430i) q^{12} +(67.0386 - 293.715i) q^{13} +(494.918 + 1154.15i) q^{14} +(51.3023 + 224.770i) q^{15} +(299.738 - 763.720i) q^{16} +(-109.067 + 1455.40i) q^{17} +(580.757 - 1005.90i) q^{18} +(-633.873 - 1097.90i) q^{19} +(1157.62 - 557.480i) q^{20} +(-1275.86 + 664.059i) q^{21} +(-4586.04 - 2208.52i) q^{22} +(-158.579 - 2116.09i) q^{23} +(3063.44 + 944.945i) q^{24} +(-2573.53 - 793.828i) q^{25} +(-218.083 - 2910.11i) q^{26} +(3627.61 + 1746.96i) q^{27} +(5190.23 + 6108.59i) q^{28} +(-5332.39 + 2567.94i) q^{29} +(1116.63 + 1934.06i) q^{30} +(510.456 - 884.136i) q^{31} +(-97.1030 + 1295.75i) q^{32} +(2129.94 - 5426.99i) q^{33} +(3145.87 + 13783.0i) q^{34} +(-117.694 + 2691.43i) q^{35} +(1649.78 - 7228.16i) q^{36} +(-1392.86 - 949.635i) q^{37} +(-9001.99 - 8352.63i) q^{38} +(3305.13 - 498.169i) q^{39} +(4401.70 - 4084.18i) q^{40} +(-2687.30 + 3369.77i) q^{41} +(-9913.67 + 9789.51i) q^{42} +(4842.94 + 6072.86i) q^{43} +(-32127.8 - 4842.48i) q^{44} +(2058.79 - 1403.66i) q^{45} +(-7509.68 - 19134.3i) q^{46} +(1000.10 - 308.490i) q^{47} +9102.41 q^{48} +(-16431.4 + 3533.11i) q^{49} -26087.8 q^{50} +(-15473.0 + 4772.79i) q^{51} +(-6805.42 - 17339.9i) q^{52} +(19958.5 - 13607.5i) q^{53} +(38566.0 + 5812.89i) q^{54} +(-6808.30 - 8537.34i) q^{55} +(31592.8 + 20129.8i) q^{56} +(8769.49 - 10996.6i) q^{57} +(-42026.1 + 38994.5i) q^{58} +(47048.0 - 7091.34i) q^{59} +(10449.7 + 9695.90i) q^{60} +(25884.1 + 17647.5i) q^{61} +(2200.55 - 9641.24i) q^{62} +(11718.7 + 10214.0i) q^{63} +(8642.82 + 37866.7i) q^{64} +(2287.21 - 5827.71i) q^{65} +(4220.23 - 56315.1i) q^{66} +(28586.8 - 49513.9i) q^{67} +(45120.2 + 78150.4i) q^{68} +(21211.6 - 10215.0i) q^{69} +(6595.12 + 25248.7i) q^{70} +(5540.46 + 2668.15i) q^{71} +(-2589.29 - 34551.6i) q^{72} +(-61188.4 - 18874.1i) q^{73} +(-15604.0 - 4813.21i) q^{74} +(-2232.92 - 29796.2i) q^{75} +(-70622.7 - 34010.1i) q^{76} +(40798.1 - 54556.5i) q^{77} +(29170.8 - 14047.9i) q^{78} +(22143.6 + 38353.8i) q^{79} +(8524.46 - 14764.8i) q^{80} +(-1160.77 + 15489.4i) q^{81} +(-15253.1 + 38864.2i) q^{82} +(5237.81 + 22948.3i) q^{83} +(-42050.0 + 78363.2i) q^{84} +(-6748.73 + 29568.1i) q^{85} +(62166.7 + 42384.5i) q^{86} +(-48134.9 - 44662.6i) q^{87} +(-150145. + 22630.7i) q^{88} +(58063.1 - 53874.7i) q^{89} +(15049.0 - 18870.8i) q^{90} +(38783.1 + 4617.48i) q^{91} +(-81805.6 - 102581. i) q^{92} +(11200.1 + 1688.15i) q^{93} +(8376.39 - 5710.93i) q^{94} +(-9624.63 - 24523.1i) q^{95} +(-13775.7 + 4249.24i) q^{96} -136701. q^{97} +(-142006. + 79618.1i) q^{98} -63009.8 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 9.25626 2.85518i 1.63629 0.504729i 0.665854 0.746082i \(-0.268067\pi\)
0.970438 + 0.241353i \(0.0775910\pi\)
\(3\) 4.05332 + 10.3277i 0.260021 + 0.662522i 0.999948 0.0101643i \(-0.00323546\pi\)
−0.739927 + 0.672687i \(0.765140\pi\)
\(4\) 51.0867 34.8304i 1.59646 1.08845i
\(5\) 20.5483 + 3.09715i 0.367579 + 0.0554036i 0.330235 0.943899i \(-0.392872\pi\)
0.0373441 + 0.999302i \(0.488110\pi\)
\(6\) 67.0061 + 84.0230i 0.759864 + 0.952840i
\(7\) 13.7032 + 128.916i 0.105700 + 0.994398i
\(8\) 180.161 225.915i 0.995260 1.24802i
\(9\) 87.8996 81.5589i 0.361727 0.335634i
\(10\) 199.043 30.0009i 0.629430 0.0948713i
\(11\) −385.204 357.417i −0.959862 0.890622i 0.0342025 0.999415i \(-0.489111\pi\)
−0.994064 + 0.108793i \(0.965301\pi\)
\(12\) 566.789 + 386.430i 1.13623 + 0.774672i
\(13\) 67.0386 293.715i 0.110019 0.482023i −0.889659 0.456626i \(-0.849058\pi\)
0.999677 0.0253974i \(-0.00808510\pi\)
\(14\) 494.918 + 1154.15i 0.674859 + 1.57378i
\(15\) 51.3023 + 224.770i 0.0588720 + 0.257935i
\(16\) 299.738 763.720i 0.292713 0.745820i
\(17\) −109.067 + 1455.40i −0.0915317 + 1.22141i 0.742560 + 0.669779i \(0.233611\pi\)
−0.834092 + 0.551626i \(0.814008\pi\)
\(18\) 580.757 1005.90i 0.422487 0.731769i
\(19\) −633.873 1097.90i −0.402826 0.697716i 0.591239 0.806496i \(-0.298639\pi\)
−0.994066 + 0.108780i \(0.965306\pi\)
\(20\) 1157.62 557.480i 0.647129 0.311641i
\(21\) −1275.86 + 664.059i −0.631327 + 0.328593i
\(22\) −4586.04 2208.52i −2.02014 0.972847i
\(23\) −158.579 2116.09i −0.0625067 0.834095i −0.937061 0.349166i \(-0.886465\pi\)
0.874554 0.484928i \(-0.161154\pi\)
\(24\) 3063.44 + 944.945i 1.08563 + 0.334872i
\(25\) −2573.53 793.828i −0.823528 0.254025i
\(26\) −218.083 2910.11i −0.0632686 0.844261i
\(27\) 3627.61 + 1746.96i 0.957660 + 0.461185i
\(28\) 5190.23 + 6108.59i 1.25110 + 1.47247i
\(29\) −5332.39 + 2567.94i −1.17741 + 0.567010i −0.917155 0.398531i \(-0.869520\pi\)
−0.260253 + 0.965541i \(0.583806\pi\)
\(30\) 1116.63 + 1934.06i 0.226519 + 0.392343i
\(31\) 510.456 884.136i 0.0954013 0.165240i −0.814375 0.580339i \(-0.802920\pi\)
0.909776 + 0.415099i \(0.136253\pi\)
\(32\) −97.1030 + 1295.75i −0.0167632 + 0.223690i
\(33\) 2129.94 5426.99i 0.340473 0.867510i
\(34\) 3145.87 + 13783.0i 0.466706 + 2.04477i
\(35\) −117.694 + 2691.43i −0.0162400 + 0.371376i
\(36\) 1649.78 7228.16i 0.212163 0.929547i
\(37\) −1392.86 949.635i −0.167264 0.114039i 0.476795 0.879015i \(-0.341798\pi\)
−0.644059 + 0.764976i \(0.722751\pi\)
\(38\) −9001.99 8352.63i −1.01130 0.938349i
\(39\) 3305.13 498.169i 0.347958 0.0524463i
\(40\) 4401.70 4084.18i 0.434981 0.403604i
\(41\) −2687.30 + 3369.77i −0.249665 + 0.313069i −0.890833 0.454331i \(-0.849878\pi\)
0.641169 + 0.767400i \(0.278450\pi\)
\(42\) −9913.67 + 9789.51i −0.867184 + 0.856323i
\(43\) 4842.94 + 6072.86i 0.399428 + 0.500867i 0.940351 0.340205i \(-0.110497\pi\)
−0.540923 + 0.841072i \(0.681925\pi\)
\(44\) −32127.8 4842.48i −2.50178 0.377082i
\(45\) 2058.79 1403.66i 0.151558 0.103331i
\(46\) −7509.68 19134.3i −0.523271 1.33327i
\(47\) 1000.10 308.490i 0.0660387 0.0203702i −0.261560 0.965187i \(-0.584237\pi\)
0.327599 + 0.944817i \(0.393761\pi\)
\(48\) 9102.41 0.570234
\(49\) −16431.4 + 3533.11i −0.977655 + 0.210217i
\(50\) −26087.8 −1.47575
\(51\) −15473.0 + 4772.79i −0.833008 + 0.256949i
\(52\) −6805.42 17339.9i −0.349017 0.889281i
\(53\) 19958.5 13607.5i 0.975975 0.665408i 0.0334137 0.999442i \(-0.489362\pi\)
0.942561 + 0.334033i \(0.108410\pi\)
\(54\) 38566.0 + 5812.89i 1.79978 + 0.271274i
\(55\) −6808.30 8537.34i −0.303481 0.380553i
\(56\) 31592.8 + 20129.8i 1.34623 + 0.857769i
\(57\) 8769.49 10996.6i 0.357509 0.448302i
\(58\) −42026.1 + 38994.5i −1.64040 + 1.52207i
\(59\) 47048.0 7091.34i 1.75959 0.265215i 0.811758 0.583994i \(-0.198511\pi\)
0.947829 + 0.318779i \(0.103273\pi\)
\(60\) 10449.7 + 9695.90i 0.374736 + 0.347704i
\(61\) 25884.1 + 17647.5i 0.890654 + 0.607238i 0.919822 0.392337i \(-0.128333\pi\)
−0.0291674 + 0.999575i \(0.509286\pi\)
\(62\) 2200.55 9641.24i 0.0727030 0.318533i
\(63\) 11718.7 + 10214.0i 0.371988 + 0.324224i
\(64\) 8642.82 + 37866.7i 0.263758 + 1.15560i
\(65\) 2287.21 5827.71i 0.0671464 0.171086i
\(66\) 4220.23 56315.1i 0.119255 1.59135i
\(67\) 28586.8 49513.9i 0.777999 1.34753i −0.155094 0.987900i \(-0.549568\pi\)
0.933093 0.359635i \(-0.117099\pi\)
\(68\) 45120.2 + 78150.4i 1.18331 + 2.04955i
\(69\) 21211.6 10215.0i 0.536353 0.258294i
\(70\) 6595.12 + 25248.7i 0.160871 + 0.615876i
\(71\) 5540.46 + 2668.15i 0.130437 + 0.0628150i 0.497964 0.867198i \(-0.334081\pi\)
−0.367527 + 0.930013i \(0.619795\pi\)
\(72\) −2589.29 34551.6i −0.0588639 0.785484i
\(73\) −61188.4 18874.1i −1.34388 0.414533i −0.462368 0.886688i \(-0.653000\pi\)
−0.881516 + 0.472154i \(0.843476\pi\)
\(74\) −15604.0 4813.21i −0.331252 0.102178i
\(75\) −2232.92 29796.2i −0.0458374 0.611658i
\(76\) −70622.7 34010.1i −1.40252 0.675420i
\(77\) 40798.1 54556.5i 0.784175 1.04862i
\(78\) 29170.8 14047.9i 0.542890 0.261442i
\(79\) 22143.6 + 38353.8i 0.399190 + 0.691417i 0.993626 0.112725i \(-0.0359581\pi\)
−0.594436 + 0.804143i \(0.702625\pi\)
\(80\) 8524.46 14764.8i 0.148916 0.257930i
\(81\) −1160.77 + 15489.4i −0.0196578 + 0.262315i
\(82\) −15253.1 + 38864.2i −0.250509 + 0.638286i
\(83\) 5237.81 + 22948.3i 0.0834554 + 0.365642i 0.999361 0.0357524i \(-0.0113828\pi\)
−0.915905 + 0.401395i \(0.868526\pi\)
\(84\) −42050.0 + 78363.2i −0.650231 + 1.21175i
\(85\) −6748.73 + 29568.1i −0.101315 + 0.443891i
\(86\) 62166.7 + 42384.5i 0.906383 + 0.617961i
\(87\) −48134.9 44662.6i −0.681807 0.632625i
\(88\) −150145. + 22630.7i −2.06682 + 0.311524i
\(89\) 58063.1 53874.7i 0.777008 0.720958i −0.188289 0.982114i \(-0.560294\pi\)
0.965297 + 0.261156i \(0.0841036\pi\)
\(90\) 15049.0 18870.8i 0.195840 0.245575i
\(91\) 38783.1 + 4617.48i 0.490952 + 0.0584523i
\(92\) −81805.6 102581.i −1.00766 1.26356i
\(93\) 11200.1 + 1688.15i 0.134281 + 0.0202397i
\(94\) 8376.39 5710.93i 0.0977771 0.0666633i
\(95\) −9624.63 24523.1i −0.109414 0.278784i
\(96\) −13775.7 + 4249.24i −0.152558 + 0.0470580i
\(97\) −136701. −1.47517 −0.737584 0.675255i \(-0.764034\pi\)
−0.737584 + 0.675255i \(0.764034\pi\)
\(98\) −142006. + 79618.1i −1.49363 + 0.837427i
\(99\) −63009.8 −0.646130
\(100\) −159122. + 49082.7i −1.59122 + 0.490827i
\(101\) 72420.8 + 184525.i 0.706415 + 1.79992i 0.591118 + 0.806585i \(0.298687\pi\)
0.115296 + 0.993331i \(0.463218\pi\)
\(102\) −129595. + 88356.4i −1.23335 + 0.840887i
\(103\) 62491.9 + 9419.13i 0.580404 + 0.0874818i 0.432681 0.901547i \(-0.357568\pi\)
0.147723 + 0.989029i \(0.452806\pi\)
\(104\) −54277.0 68061.2i −0.492076 0.617044i
\(105\) −28273.4 + 9693.74i −0.250267 + 0.0858061i
\(106\) 145890. 182940.i 1.26113 1.58141i
\(107\) 53288.1 49444.1i 0.449957 0.417499i −0.422369 0.906424i \(-0.638801\pi\)
0.872326 + 0.488925i \(0.162611\pi\)
\(108\) 246170. 37104.2i 2.03084 0.306100i
\(109\) 1777.70 + 1649.46i 0.0143315 + 0.0132977i 0.687306 0.726368i \(-0.258793\pi\)
−0.672974 + 0.739666i \(0.734984\pi\)
\(110\) −87395.0 59584.9i −0.688660 0.469521i
\(111\) 4161.84 18234.2i 0.0320610 0.140469i
\(112\) 102563. + 28175.5i 0.772582 + 0.212240i
\(113\) 9.34309 + 40.9347i 6.88326e−5 + 0.000301575i 0.974962 0.222370i \(-0.0713793\pi\)
−0.974893 + 0.222672i \(0.928522\pi\)
\(114\) 49775.5 126826.i 0.358718 0.913999i
\(115\) 3295.34 43973.2i 0.0232357 0.310059i
\(116\) −182972. + 316917.i −1.26252 + 2.18676i
\(117\) −18062.4 31285.1i −0.121986 0.211287i
\(118\) 415241. 199970.i 2.74534 1.32208i
\(119\) −189118. + 5883.18i −1.22424 + 0.0380842i
\(120\) 60021.7 + 28904.9i 0.380501 + 0.183239i
\(121\) 8599.77 + 114756.i 0.0533978 + 0.712544i
\(122\) 289977. + 89446.1i 1.76386 + 0.544079i
\(123\) −45694.5 14094.9i −0.272333 0.0840037i
\(124\) −4717.23 62947.0i −0.0275507 0.367638i
\(125\) −108931. 52458.2i −0.623555 0.300288i
\(126\) 137634. + 61084.5i 0.772326 + 0.342772i
\(127\) 199745. 96191.9i 1.09892 0.529211i 0.205601 0.978636i \(-0.434085\pi\)
0.893318 + 0.449425i \(0.148371\pi\)
\(128\) 167326. + 289818.i 0.902691 + 1.56351i
\(129\) −43088.7 + 74631.8i −0.227976 + 0.394866i
\(130\) 4531.84 60473.2i 0.0235189 0.313838i
\(131\) −119039. + 303307.i −0.606055 + 1.54420i 0.216958 + 0.976181i \(0.430387\pi\)
−0.823013 + 0.568022i \(0.807709\pi\)
\(132\) −80212.5 351434.i −0.400689 1.75553i
\(133\) 132850. 96760.8i 0.651228 0.474319i
\(134\) 123236. 539934.i 0.592894 2.59764i
\(135\) 69130.5 + 47132.4i 0.326464 + 0.222579i
\(136\) 309147. + 286847.i 1.43324 + 1.32985i
\(137\) −380943. + 57417.9i −1.73404 + 0.261364i −0.938683 0.344781i \(-0.887953\pi\)
−0.795354 + 0.606145i \(0.792715\pi\)
\(138\) 167175. 155115.i 0.747262 0.693358i
\(139\) −237603. + 297945.i −1.04308 + 1.30798i −0.0930977 + 0.995657i \(0.529677\pi\)
−0.949978 + 0.312318i \(0.898895\pi\)
\(140\) 87731.0 + 141596.i 0.378297 + 0.610563i
\(141\) 7239.72 + 9078.32i 0.0306672 + 0.0384554i
\(142\) 58902.0 + 8878.05i 0.245137 + 0.0369485i
\(143\) −130802. + 89179.5i −0.534903 + 0.364691i
\(144\) −35941.3 91577.0i −0.144440 0.368027i
\(145\) −117525. + 36251.6i −0.464204 + 0.143188i
\(146\) −620265. −2.40821
\(147\) −103091. 155378.i −0.393484 0.593057i
\(148\) −104233. −0.391156
\(149\) −340174. + 104930.i −1.25526 + 0.387198i −0.849894 0.526954i \(-0.823334\pi\)
−0.405371 + 0.914152i \(0.632858\pi\)
\(150\) −105742. 269427.i −0.383725 0.977715i
\(151\) 327880. 223545.i 1.17023 0.797852i 0.187389 0.982286i \(-0.439998\pi\)
0.982845 + 0.184434i \(0.0590452\pi\)
\(152\) −362232. 54597.6i −1.27168 0.191675i
\(153\) 109114. + 136824.i 0.376835 + 0.472536i
\(154\) 221869. 621475.i 0.753867 2.11165i
\(155\) 13227.3 16586.5i 0.0442224 0.0554531i
\(156\) 151497. 140569.i 0.498417 0.462463i
\(157\) −401304. + 60486.8i −1.29934 + 0.195845i −0.762032 0.647539i \(-0.775798\pi\)
−0.537312 + 0.843384i \(0.680560\pi\)
\(158\) 314473. + 291789.i 1.00217 + 0.929878i
\(159\) 221432. + 150970.i 0.694622 + 0.473585i
\(160\) −6008.44 + 26324.7i −0.0185550 + 0.0812949i
\(161\) 270624. 49440.6i 0.822815 0.150321i
\(162\) 33480.7 + 146688.i 0.100232 + 0.439146i
\(163\) 46835.2 119334.i 0.138071 0.351800i −0.845068 0.534659i \(-0.820440\pi\)
0.983139 + 0.182859i \(0.0585352\pi\)
\(164\) −19915.2 + 265750.i −0.0578197 + 0.771550i
\(165\) 60574.8 104919.i 0.173214 0.300015i
\(166\) 114004. + 197461.i 0.321108 + 0.556175i
\(167\) 102262. 49247.0i 0.283743 0.136643i −0.286599 0.958051i \(-0.592525\pi\)
0.570342 + 0.821407i \(0.306811\pi\)
\(168\) −79839.2 + 407873.i −0.218244 + 1.11494i
\(169\) 252749. + 121717.i 0.680726 + 0.327821i
\(170\) 21954.3 + 292959.i 0.0582635 + 0.777473i
\(171\) −145261. 44807.0i −0.379890 0.117181i
\(172\) 458930. + 141561.i 1.18284 + 0.364857i
\(173\) 28765.2 + 383845.i 0.0730722 + 0.975081i 0.906432 + 0.422351i \(0.138795\pi\)
−0.833360 + 0.552730i \(0.813586\pi\)
\(174\) −573069. 275975.i −1.43494 0.691030i
\(175\) 67071.2 342645.i 0.165554 0.845765i
\(176\) −388427. + 187056.i −0.945208 + 0.455188i
\(177\) 263938. + 457154.i 0.633240 + 1.09680i
\(178\) 383626. 664459.i 0.907523 1.57188i
\(179\) 20480.7 273296.i 0.0477763 0.637531i −0.920995 0.389575i \(-0.872622\pi\)
0.968771 0.247956i \(-0.0797589\pi\)
\(180\) 56286.8 143417.i 0.129487 0.329927i
\(181\) −65622.3 287510.i −0.148886 0.652314i −0.993196 0.116458i \(-0.962846\pi\)
0.844309 0.535856i \(-0.180011\pi\)
\(182\) 372170. 67992.1i 0.832844 0.152153i
\(183\) −77341.4 + 338855.i −0.170720 + 0.747973i
\(184\) −506628. 345413.i −1.10317 0.752132i
\(185\) −25679.7 23827.3i −0.0551646 0.0511852i
\(186\) 108491. 16352.5i 0.229939 0.0346578i
\(187\) 562197. 521643.i 1.17567 1.09086i
\(188\) 40347.0 50593.6i 0.0832562 0.104400i
\(189\) −175501. + 491594.i −0.357376 + 1.00104i
\(190\) −159106. 199513.i −0.319744 0.400947i
\(191\) −606353. 91393.0i −1.20266 0.181272i −0.483013 0.875613i \(-0.660458\pi\)
−0.719645 + 0.694342i \(0.755696\pi\)
\(192\) −356044. + 242746.i −0.697028 + 0.475225i
\(193\) −172864. 440449.i −0.334049 0.851143i −0.994922 0.100646i \(-0.967909\pi\)
0.660873 0.750497i \(-0.270186\pi\)
\(194\) −1.26534e6 + 390305.i −2.41381 + 0.744561i
\(195\) 69457.7 0.130808
\(196\) −716369. + 752808.i −1.33198 + 1.39973i
\(197\) 887133. 1.62863 0.814316 0.580422i \(-0.197112\pi\)
0.814316 + 0.580422i \(0.197112\pi\)
\(198\) −583235. + 179904.i −1.05726 + 0.326121i
\(199\) −353020. 899479.i −0.631926 1.61012i −0.783300 0.621644i \(-0.786465\pi\)
0.151374 0.988477i \(-0.451630\pi\)
\(200\) −642988. + 438382.i −1.13665 + 0.774956i
\(201\) 627236. + 94540.7i 1.09507 + 0.165055i
\(202\) 1.19720e6 + 1.50124e6i 2.06437 + 2.58864i
\(203\) −404119. 652239.i −0.688286 1.11088i
\(204\) −624228. + 782757.i −1.05019 + 1.31690i
\(205\) −65656.1 + 60920.0i −0.109117 + 0.101245i
\(206\) 605335. 91239.5i 0.993865 0.149801i
\(207\) −186525. 173070.i −0.302560 0.280735i
\(208\) −204222. 139236.i −0.327299 0.223149i
\(209\) −148238. + 649472.i −0.234743 + 1.02848i
\(210\) −234028. + 170453.i −0.366202 + 0.266721i
\(211\) −64725.6 283581.i −0.100085 0.438502i −0.999997 0.00243013i \(-0.999226\pi\)
0.899912 0.436072i \(-0.143631\pi\)
\(212\) 545662. 1.39032e6i 0.833843 2.12460i
\(213\) −5098.52 + 68035.1i −0.00770009 + 0.102750i
\(214\) 352077. 609815.i 0.525537 0.910256i
\(215\) 80705.6 + 139786.i 0.119071 + 0.206238i
\(216\) 1.04822e6 504797.i 1.52869 0.736177i
\(217\) 120974. + 53690.3i 0.174398 + 0.0774009i
\(218\) 21164.4 + 10192.2i 0.0301623 + 0.0145254i
\(219\) −53090.1 708438.i −0.0748003 0.998141i
\(220\) −645172. 199009.i −0.898709 0.277215i
\(221\) 420161. + 129603.i 0.578676 + 0.178498i
\(222\) −13538.9 180663.i −0.0184374 0.246030i
\(223\) 665907. + 320684.i 0.896708 + 0.431832i 0.824699 0.565572i \(-0.191345\pi\)
0.0720093 + 0.997404i \(0.477059\pi\)
\(224\) −168373. + 5237.83i −0.224209 + 0.00697479i
\(225\) −290956. + 140117.i −0.383152 + 0.184516i
\(226\) 203.358 + 352.227i 0.000264844 + 0.000458724i
\(227\) −158960. + 275326.i −0.204749 + 0.354636i −0.950053 0.312089i \(-0.898971\pi\)
0.745304 + 0.666725i \(0.232305\pi\)
\(228\) 64989.5 867224.i 0.0827953 1.10483i
\(229\) 16116.0 41062.9i 0.0203081 0.0517441i −0.920360 0.391072i \(-0.872104\pi\)
0.940668 + 0.339328i \(0.110200\pi\)
\(230\) −95048.9 416437.i −0.118475 0.519074i
\(231\) 728811. + 200215.i 0.898638 + 0.246869i
\(232\) −380553. + 1.66731e6i −0.464190 + 2.03375i
\(233\) 1.01205e6 + 690005.i 1.22127 + 0.832650i 0.990114 0.140266i \(-0.0447959\pi\)
0.231159 + 0.972916i \(0.425748\pi\)
\(234\) −256515. 238011.i −0.306248 0.284157i
\(235\) 21505.8 3241.47i 0.0254030 0.00382889i
\(236\) 2.15653e6 2.00097e6i 2.52044 2.33863i
\(237\) −306351. + 384152.i −0.354282 + 0.444255i
\(238\) −1.73373e6 + 594422.i −1.98399 + 0.680225i
\(239\) −626180. 785205.i −0.709096 0.889178i 0.288571 0.957459i \(-0.406820\pi\)
−0.997666 + 0.0682810i \(0.978249\pi\)
\(240\) 187039. + 28191.6i 0.209606 + 0.0315930i
\(241\) −93444.0 + 63709.1i −0.103636 + 0.0706576i −0.614029 0.789284i \(-0.710452\pi\)
0.510393 + 0.859941i \(0.329500\pi\)
\(242\) 407250. + 1.03766e6i 0.447016 + 1.13898i
\(243\) 770259. 237593.i 0.836798 0.258118i
\(244\) 1.93701e6 2.08284
\(245\) −348580. + 21708.6i −0.371012 + 0.0231056i
\(246\) −463204. −0.488016
\(247\) −364964. + 112576.i −0.380634 + 0.117410i
\(248\) −107775. 274607.i −0.111273 0.283519i
\(249\) −215773. + 147112.i −0.220546 + 0.150366i
\(250\) −1.15807e6 174551.i −1.17188 0.176633i
\(251\) 173630. + 217726.i 0.173957 + 0.218135i 0.861165 0.508326i \(-0.169735\pi\)
−0.687208 + 0.726461i \(0.741164\pi\)
\(252\) 954429. + 113633.i 0.946765 + 0.112721i
\(253\) −695242. + 871806.i −0.682865 + 0.856285i
\(254\) 1.57424e6 1.46068e6i 1.53104 1.42060i
\(255\) −332726. + 50150.3i −0.320432 + 0.0482974i
\(256\) 1.46519e6 + 1.35950e6i 1.39731 + 1.29652i
\(257\) 252853. + 172392.i 0.238801 + 0.162811i 0.676807 0.736160i \(-0.263363\pi\)
−0.438007 + 0.898972i \(0.644315\pi\)
\(258\) −185753. + 813837.i −0.173735 + 0.761182i
\(259\) 103336. 192574.i 0.0957200 0.178381i
\(260\) −86135.2 377383.i −0.0790219 0.346218i
\(261\) −259276. + 660625.i −0.235593 + 0.600280i
\(262\) −235863. + 3.14737e6i −0.212279 + 2.83266i
\(263\) 272296. 471631.i 0.242746 0.420448i −0.718749 0.695269i \(-0.755285\pi\)
0.961495 + 0.274821i \(0.0886185\pi\)
\(264\) −842308. 1.45892e6i −0.743808 1.28831i
\(265\) 452258. 217796.i 0.395614 0.190518i
\(266\) 953428. 1.27495e6i 0.826197 1.10482i
\(267\) 791751. + 381287.i 0.679689 + 0.327321i
\(268\) −264177. 3.52519e6i −0.224676 2.99810i
\(269\) −1.00730e6 310710.i −0.848745 0.261803i −0.160279 0.987072i \(-0.551239\pi\)
−0.688466 + 0.725269i \(0.741716\pi\)
\(270\) 774462. + 238890.i 0.646533 + 0.199429i
\(271\) −72811.6 971603.i −0.0602250 0.803647i −0.942775 0.333429i \(-0.891794\pi\)
0.882550 0.470218i \(-0.155825\pi\)
\(272\) 1.07883e6 + 519535.i 0.884156 + 0.425787i
\(273\) 109513. + 419256.i 0.0889319 + 0.340466i
\(274\) −3.36217e6 + 1.61914e6i −2.70547 + 1.30289i
\(275\) 707604. + 1.22561e6i 0.564233 + 0.977281i
\(276\) 727841. 1.26066e6i 0.575127 0.996149i
\(277\) 183924. 2.45430e6i 0.144026 1.92189i −0.194447 0.980913i \(-0.562291\pi\)
0.338472 0.940976i \(-0.390090\pi\)
\(278\) −1.34863e6 + 3.43626e6i −1.04660 + 2.66670i
\(279\) −27240.3 119348.i −0.0209508 0.0917916i
\(280\) 586832. + 511481.i 0.447320 + 0.389883i
\(281\) 10095.1 44229.7i 0.00762688 0.0334155i −0.970971 0.239196i \(-0.923116\pi\)
0.978598 + 0.205780i \(0.0659733\pi\)
\(282\) 92933.0 + 63360.6i 0.0695900 + 0.0474457i
\(283\) −120358. 111676.i −0.0893326 0.0828886i 0.634243 0.773134i \(-0.281312\pi\)
−0.723575 + 0.690246i \(0.757503\pi\)
\(284\) 375977. 56669.4i 0.276608 0.0416920i
\(285\) 214256. 198801.i 0.156250 0.144979i
\(286\) −956117. + 1.19893e6i −0.691188 + 0.866722i
\(287\) −471240. 300258.i −0.337705 0.215174i
\(288\) 97144.7 + 121816.i 0.0690141 + 0.0865409i
\(289\) −702292. 105853.i −0.494621 0.0745522i
\(290\) −984335. + 671108.i −0.687303 + 0.468595i
\(291\) −554093. 1.41180e6i −0.383575 0.977332i
\(292\) −3.78331e6 + 1.16700e6i −2.59666 + 0.800963i
\(293\) −2.22207e6 −1.51213 −0.756065 0.654497i \(-0.772880\pi\)
−0.756065 + 0.654497i \(0.772880\pi\)
\(294\) −1.39787e6 1.14388e6i −0.943188 0.771812i
\(295\) 988717. 0.661481
\(296\) −465476. + 143580.i −0.308794 + 0.0952502i
\(297\) −772974. 1.96951e6i −0.508480 1.29559i
\(298\) −2.84915e6 + 1.94252e6i −1.85855 + 1.26714i
\(299\) −632160. 95282.8i −0.408930 0.0616363i
\(300\) −1.15189e6 1.44442e6i −0.738935 0.926596i
\(301\) −716522. + 707549.i −0.455841 + 0.450132i
\(302\) 2.39668e6 3.00535e6i 1.51214 1.89617i
\(303\) −1.61218e6 + 1.49588e6i −1.00880 + 0.936031i
\(304\) −1.02848e6 + 155019.i −0.638283 + 0.0962057i
\(305\) 477217. + 442793.i 0.293742 + 0.272553i
\(306\) 1.40064e6 + 954943.i 0.855115 + 0.583007i
\(307\) 517370. 2.26674e6i 0.313296 1.37264i −0.535775 0.844361i \(-0.679980\pi\)
0.849071 0.528279i \(-0.177162\pi\)
\(308\) 184018. 4.20813e6i 0.110531 2.52762i
\(309\) 156022. + 683576.i 0.0929585 + 0.407278i
\(310\) 75078.0 191296.i 0.0443719 0.113058i
\(311\) −85134.0 + 1.13603e6i −0.0499117 + 0.666025i 0.915001 + 0.403453i \(0.132190\pi\)
−0.964912 + 0.262573i \(0.915429\pi\)
\(312\) 482913. 836430.i 0.280855 0.486456i
\(313\) −183700. 318178.i −0.105986 0.183573i 0.808155 0.588971i \(-0.200467\pi\)
−0.914141 + 0.405397i \(0.867133\pi\)
\(314\) −3.54187e6 + 1.70568e6i −2.02726 + 0.976276i
\(315\) 209165. + 246175.i 0.118772 + 0.139787i
\(316\) 2.46712e6 + 1.18810e6i 1.38986 + 0.669323i
\(317\) 135032. + 1.80187e6i 0.0754723 + 1.00711i 0.898462 + 0.439051i \(0.144685\pi\)
−0.822990 + 0.568056i \(0.807696\pi\)
\(318\) 2.48068e6 + 765190.i 1.37564 + 0.424328i
\(319\) 2.97188e6 + 916704.i 1.63514 + 0.504374i
\(320\) 60316.2 + 804863.i 0.0329275 + 0.439387i
\(321\) 726638. + 349930.i 0.393600 + 0.189548i
\(322\) 2.36381e6 1.23032e6i 1.27049 0.661267i
\(323\) 1.66702e6 802793.i 0.889065 0.428151i
\(324\) 480202. + 831735.i 0.254133 + 0.440172i
\(325\) −405685. + 702667.i −0.213049 + 0.369012i
\(326\) 92798.6 1.23831e6i 0.0483613 0.645336i
\(327\) −9829.58 + 25045.4i −0.00508353 + 0.0129526i
\(328\) 277134. + 1.21420e6i 0.142235 + 0.623171i
\(329\) 53473.7 + 124701.i 0.0272365 + 0.0635156i
\(330\) 261135. 1.14411e6i 0.132002 0.578338i
\(331\) 369510. + 251928.i 0.185377 + 0.126388i 0.652453 0.757829i \(-0.273740\pi\)
−0.467076 + 0.884217i \(0.654692\pi\)
\(332\) 1.06688e6 + 989922.i 0.531216 + 0.492896i
\(333\) −199883. + 30127.5i −0.0987791 + 0.0148886i
\(334\) 805959. 747821.i 0.395318 0.366802i
\(335\) 740763. 928887.i 0.360634 0.452221i
\(336\) 124732. + 1.17344e6i 0.0602740 + 0.567040i
\(337\) 1.68588e6 + 2.11402e6i 0.808632 + 1.01399i 0.999476 + 0.0323720i \(0.0103061\pi\)
−0.190844 + 0.981620i \(0.561122\pi\)
\(338\) 2.68704e6 + 405006.i 1.27933 + 0.192828i
\(339\) −384.891 + 262.414i −0.000181903 + 0.000124019i
\(340\) 685098. + 1.74560e6i 0.321407 + 0.818932i
\(341\) −512635. + 158127.i −0.238738 + 0.0736410i
\(342\) −1.47250e6 −0.680755
\(343\) −680637. 2.06985e6i −0.312378 0.949958i
\(344\) 2.24446e6 1.02262
\(345\) 467499. 144204.i 0.211462 0.0652275i
\(346\) 1.36220e6 + 3.47084e6i 0.611719 + 1.55864i
\(347\) −2.59433e6 + 1.76879e6i −1.15665 + 0.788591i −0.980644 0.195798i \(-0.937270\pi\)
−0.176006 + 0.984389i \(0.556318\pi\)
\(348\) −4.01467e6 605114.i −1.77706 0.267848i
\(349\) 637400. + 799274.i 0.280123 + 0.351263i 0.901911 0.431923i \(-0.142165\pi\)
−0.621788 + 0.783186i \(0.713593\pi\)
\(350\) −357486. 3.36312e6i −0.155987 1.46748i
\(351\) 756300. 948370.i 0.327662 0.410875i
\(352\) 500527. 464421.i 0.215313 0.199782i
\(353\) 2.57102e6 387519.i 1.09817 0.165522i 0.425131 0.905132i \(-0.360228\pi\)
0.673036 + 0.739610i \(0.264990\pi\)
\(354\) 3.74833e6 + 3.47795e6i 1.58975 + 1.47508i
\(355\) 105583. + 71985.5i 0.0444656 + 0.0303161i
\(356\) 1.08978e6 4.77464e6i 0.455737 1.99671i
\(357\) −827317. 1.92931e6i −0.343559 0.801182i
\(358\) −590735. 2.58818e6i −0.243604 1.06730i
\(359\) −393540. + 1.00272e6i −0.161158 + 0.410625i −0.988529 0.151032i \(-0.951741\pi\)
0.827371 + 0.561657i \(0.189836\pi\)
\(360\) 53806.4 717996.i 0.0218815 0.291989i
\(361\) 434460. 752508.i 0.175462 0.303909i
\(362\) −1.42831e6 2.47391e6i −0.572864 0.992229i
\(363\) −1.15031e6 + 553959.i −0.458192 + 0.220654i
\(364\) 2.14213e6 1.11494e6i 0.847408 0.441059i
\(365\) −1.19886e6 577341.i −0.471017 0.226830i
\(366\) 251599. + 3.35735e6i 0.0981761 + 1.31007i
\(367\) −3.97211e6 1.22523e6i −1.53942 0.474847i −0.595035 0.803700i \(-0.702862\pi\)
−0.944381 + 0.328853i \(0.893338\pi\)
\(368\) −1.66364e6 513163.i −0.640381 0.197531i
\(369\) 38622.0 + 515375.i 0.0147662 + 0.197041i
\(370\) −305729. 147231.i −0.116100 0.0559108i
\(371\) 2.02771e6 + 2.38650e6i 0.764842 + 0.900174i
\(372\) 630978. 303863.i 0.236405 0.113847i
\(373\) −2.36736e6 4.10039e6i −0.881033 1.52599i −0.850193 0.526470i \(-0.823515\pi\)
−0.0308400 0.999524i \(-0.509818\pi\)
\(374\) 3.71446e6 6.43364e6i 1.37315 2.37836i
\(375\) 100242. 1.33763e6i 0.0368104 0.491201i
\(376\) 110487. 281516.i 0.0403033 0.102691i
\(377\) 396768. + 1.73836e6i 0.143775 + 0.629920i
\(378\) −220894. + 5.05141e6i −0.0795161 + 1.81838i
\(379\) −257953. + 1.13017e6i −0.0922451 + 0.404152i −0.999878 0.0156124i \(-0.995030\pi\)
0.907633 + 0.419765i \(0.137887\pi\)
\(380\) −1.34584e6 917579.i −0.478117 0.325975i
\(381\) 1.80307e6 + 1.67300e6i 0.636356 + 0.590452i
\(382\) −5.87351e6 + 885289.i −2.05939 + 0.310404i
\(383\) 1.39687e6 1.29610e6i 0.486585 0.451485i −0.398327 0.917243i \(-0.630409\pi\)
0.884912 + 0.465759i \(0.154219\pi\)
\(384\) −2.31492e6 + 2.90282e6i −0.801140 + 1.00460i
\(385\) 1.00730e6 994684.i 0.346343 0.342006i
\(386\) −2.85763e6 3.58336e6i −0.976198 1.22411i
\(387\) 920989. + 138817.i 0.312591 + 0.0471156i
\(388\) −6.98360e6 + 4.76134e6i −2.35505 + 1.60565i
\(389\) 913313. + 2.32708e6i 0.306017 + 0.779719i 0.998311 + 0.0581028i \(0.0185051\pi\)
−0.692293 + 0.721616i \(0.743400\pi\)
\(390\) 642919. 198314.i 0.214040 0.0660225i
\(391\) 3.09706e6 1.02449
\(392\) −2.16213e6 + 4.34864e6i −0.710667 + 1.42935i
\(393\) −3.61497e6 −1.18066
\(394\) 8.21154e6 2.53292e6i 2.66492 0.822018i
\(395\) 336224. + 856686.i 0.108427 + 0.276267i
\(396\) −3.21897e6 + 2.19465e6i −1.03152 + 0.703280i
\(397\) −3.52551e6 531385.i −1.12265 0.169213i −0.438627 0.898669i \(-0.644535\pi\)
−0.684027 + 0.729457i \(0.739773\pi\)
\(398\) −5.83582e6 7.31788e6i −1.84669 2.31568i
\(399\) 1.53780e6 + 979835.i 0.483580 + 0.308121i
\(400\) −1.37765e6 + 1.72751e6i −0.430514 + 0.539848i
\(401\) 1.04281e6 967591.i 0.323852 0.300490i −0.501445 0.865189i \(-0.667198\pi\)
0.825297 + 0.564699i \(0.191008\pi\)
\(402\) 6.07580e6 915779.i 1.87516 0.282635i
\(403\) −225464. 209200.i −0.0691536 0.0641651i
\(404\) 1.01268e7 + 6.90435e6i 3.08688 + 2.10460i
\(405\) −71825.0 + 314686.i −0.0217590 + 0.0953323i
\(406\) −5.60289e6 4.88347e6i −1.68693 1.47032i
\(407\) 197119. + 863634.i 0.0589851 + 0.258430i
\(408\) −1.70939e6 + 4.35546e6i −0.508383 + 1.29534i
\(409\) −46411.1 + 619313.i −0.0137187 + 0.183064i 0.986135 + 0.165946i \(0.0530679\pi\)
−0.999853 + 0.0171171i \(0.994551\pi\)
\(410\) −433793. + 751351.i −0.127445 + 0.220741i
\(411\) −2.13708e6 3.70153e6i −0.624045 1.08088i
\(412\) 3.52058e6 1.69542e6i 1.02181 0.492079i
\(413\) 1.55889e6 + 5.96804e6i 0.449719 + 1.72170i
\(414\) −2.22068e6 1.06942e6i −0.636772 0.306653i
\(415\) 36553.4 + 487771.i 0.0104186 + 0.139026i
\(416\) 374072. + 115386.i 0.105979 + 0.0326903i
\(417\) −4.04017e6 1.24623e6i −1.13778 0.350960i
\(418\) 482231. + 6.43493e6i 0.134994 + 1.80137i
\(419\) 4.95243e6 + 2.38497e6i 1.37811 + 0.663662i 0.968595 0.248642i \(-0.0799843\pi\)
0.409513 + 0.912304i \(0.365699\pi\)
\(420\) −1.10676e6 + 1.47999e6i −0.306147 + 0.409389i
\(421\) −891466. + 429307.i −0.245132 + 0.118049i −0.552416 0.833569i \(-0.686294\pi\)
0.307284 + 0.951618i \(0.400580\pi\)
\(422\) −1.40879e6 2.44010e6i −0.385093 0.667001i
\(423\) 62748.3 108683.i 0.0170510 0.0295333i
\(424\) 521616. 6.96048e6i 0.140908 1.88029i
\(425\) 1.43602e6 3.65893e6i 0.385646 0.982610i
\(426\) 147059. + 644308.i 0.0392616 + 0.172016i
\(427\) −1.92034e6 + 3.57870e6i −0.509693 + 0.949850i
\(428\) 1.00016e6 4.38198e6i 0.263912 1.15628i
\(429\) −1.45120e6 989413.i −0.380702 0.259558i
\(430\) 1.14615e6 + 1.06347e6i 0.298930 + 0.277366i
\(431\) −4.74310e6 + 714907.i −1.22990 + 0.185377i −0.731664 0.681665i \(-0.761256\pi\)
−0.498234 + 0.867043i \(0.666018\pi\)
\(432\) 2.42152e6 2.24685e6i 0.624280 0.579247i
\(433\) 4.40779e6 5.52719e6i 1.12980 1.41672i 0.234014 0.972233i \(-0.424814\pi\)
0.895784 0.444489i \(-0.146615\pi\)
\(434\) 1.27306e6 + 151569.i 0.324433 + 0.0386267i
\(435\) −850761. 1.06682e6i −0.215568 0.270314i
\(436\) 148268. + 22347.9i 0.0373536 + 0.00563015i
\(437\) −2.22274e6 + 1.51544e6i −0.556782 + 0.379607i
\(438\) −2.51413e6 6.40591e6i −0.626186 1.59550i
\(439\) 746350. 230219.i 0.184834 0.0570137i −0.200957 0.979600i \(-0.564405\pi\)
0.385790 + 0.922586i \(0.373929\pi\)
\(440\) −3.15531e6 −0.776980
\(441\) −1.15616e6 + 1.65069e6i −0.283088 + 0.404175i
\(442\) 4.25916e6 1.03698
\(443\) −4.64032e6 + 1.43135e6i −1.12341 + 0.346526i −0.800160 0.599787i \(-0.795252\pi\)
−0.323251 + 0.946313i \(0.604776\pi\)
\(444\) −422489. 1.07648e6i −0.101709 0.259149i
\(445\) 1.35996e6 927202.i 0.325555 0.221960i
\(446\) 7.07942e6 + 1.06705e6i 1.68523 + 0.254008i
\(447\) −2.46252e6 3.08790e6i −0.582922 0.730961i
\(448\) −4.76317e6 + 1.63309e6i −1.12125 + 0.384428i
\(449\) −3.44230e6 + 4.31651e6i −0.805811 + 1.01045i 0.193757 + 0.981050i \(0.437933\pi\)
−0.999568 + 0.0294053i \(0.990639\pi\)
\(450\) −2.29310e6 + 2.12769e6i −0.533817 + 0.495310i
\(451\) 2.23957e6 337561.i 0.518470 0.0781468i
\(452\) 1903.08 + 1765.80i 0.000438138 + 0.000406533i
\(453\) 3.63771e6 + 2.48015e6i 0.832880 + 0.567848i
\(454\) −685267. + 3.00235e6i −0.156034 + 0.683631i
\(455\) 782625. + 214998.i 0.177225 + 0.0486863i
\(456\) −904374. 3.96232e6i −0.203674 0.892355i
\(457\) −1.93063e6 + 4.91917e6i −0.432423 + 1.10180i 0.534147 + 0.845392i \(0.320633\pi\)
−0.966570 + 0.256404i \(0.917462\pi\)
\(458\) 31932.0 426103.i 0.00711316 0.0949185i
\(459\) −2.93818e6 + 5.08908e6i −0.650949 + 1.12748i
\(460\) −1.36325e6 2.36123e6i −0.300388 0.520287i
\(461\) 967354. 465853.i 0.211999 0.102093i −0.324871 0.945758i \(-0.605321\pi\)
0.536870 + 0.843665i \(0.319607\pi\)
\(462\) 7.31772e6 227643.i 1.59504 0.0496192i
\(463\) 593946. + 286029.i 0.128764 + 0.0620094i 0.497157 0.867661i \(-0.334377\pi\)
−0.368393 + 0.929670i \(0.620092\pi\)
\(464\) 362870. + 4.84216e6i 0.0782449 + 1.04411i
\(465\) 224915. + 69377.1i 0.0482377 + 0.0148793i
\(466\) 1.13379e7 + 3.49728e6i 2.41862 + 0.746046i
\(467\) 51534.3 + 687678.i 0.0109346 + 0.145913i 0.999999 0.00157351i \(-0.000500864\pi\)
−0.989064 + 0.147486i \(0.952882\pi\)
\(468\) −2.01242e6 969131.i −0.424721 0.204535i
\(469\) 6.77484e6 + 3.00679e6i 1.42222 + 0.631206i
\(470\) 189808. 91406.7i 0.0396342 0.0190868i
\(471\) −2.25130e6 3.89937e6i −0.467608 0.809921i
\(472\) 6.87418e6 1.19064e7i 1.42025 2.45995i
\(473\) 305022. 4.07024e6i 0.0626872 0.836502i
\(474\) −1.73884e6 + 4.43050e6i −0.355480 + 0.905747i
\(475\) 759745. + 3.32866e6i 0.154502 + 0.676917i
\(476\) −9.45652e6 + 6.88760e6i −1.91299 + 1.39332i
\(477\) 644534. 2.82389e6i 0.129703 0.568266i
\(478\) −8.03799e6 5.48021e6i −1.60908 1.09705i
\(479\) −6.60343e6 6.12709e6i −1.31501 1.22016i −0.958240 0.285965i \(-0.907686\pi\)
−0.356775 0.934190i \(-0.616124\pi\)
\(480\) −296228. + 44649.1i −0.0586844 + 0.00884524i
\(481\) −372297. + 345442.i −0.0733715 + 0.0680788i
\(482\) −683042. + 856507.i −0.133915 + 0.167924i
\(483\) 1.60754e6 + 2.59453e6i 0.313540 + 0.506047i
\(484\) 4.43632e6 + 5.56297e6i 0.860815 + 1.07943i
\(485\) −2.80897e6 423383.i −0.542241 0.0817296i
\(486\) 6.45135e6 4.39845e6i 1.23897 0.844713i
\(487\) 203190. + 517721.i 0.0388223 + 0.0989175i 0.948970 0.315366i \(-0.102127\pi\)
−0.910148 + 0.414284i \(0.864032\pi\)
\(488\) 8.65016e6 2.66822e6i 1.64428 0.507192i
\(489\) 1.42229e6 0.268977
\(490\) −3.16457e6 + 1.19620e6i −0.595422 + 0.225068i
\(491\) −4.84840e6 −0.907600 −0.453800 0.891104i \(-0.649932\pi\)
−0.453800 + 0.891104i \(0.649932\pi\)
\(492\) −2.82531e6 + 871493.i −0.526203 + 0.162312i
\(493\) −3.15579e6 8.04083e6i −0.584778 1.48999i
\(494\) −3.05678e6 + 2.08407e6i −0.563568 + 0.384234i
\(495\) −1.29474e6 195151.i −0.237504 0.0357979i
\(496\) −522229. 654855.i −0.0953141 0.119520i
\(497\) −268043. + 750814.i −0.0486759 + 0.136346i
\(498\) −1.57722e6 + 1.97778e6i −0.284984 + 0.357358i
\(499\) 2.14917e6 1.99413e6i 0.386383 0.358511i −0.462935 0.886392i \(-0.653204\pi\)
0.849318 + 0.527881i \(0.177013\pi\)
\(500\) −7.39205e6 + 1.11417e6i −1.32233 + 0.199309i
\(501\) 923111. + 856522.i 0.164308 + 0.152456i
\(502\) 2.22882e6 + 1.51958e6i 0.394743 + 0.269131i
\(503\) −481937. + 2.11150e6i −0.0849318 + 0.372110i −0.999476 0.0323760i \(-0.989693\pi\)
0.914544 + 0.404487i \(0.132550\pi\)
\(504\) 4.41876e6 807267.i 0.774862 0.141560i
\(505\) 916620. + 4.01597e6i 0.159941 + 0.700749i
\(506\) −3.94618e6 + 1.00547e7i −0.685174 + 1.74579i
\(507\) −232588. + 3.10368e6i −0.0401854 + 0.536237i
\(508\) 6.85390e6 1.18713e7i 1.17836 2.04098i
\(509\) −4.65835e6 8.06850e6i −0.796962 1.38038i −0.921586 0.388175i \(-0.873106\pi\)
0.124623 0.992204i \(-0.460228\pi\)
\(510\) −2.93661e6 + 1.41420e6i −0.499943 + 0.240760i
\(511\) 1.59469e6 8.14677e6i 0.270162 1.38017i
\(512\) 7.79544e6 + 3.75408e6i 1.31421 + 0.632891i
\(513\) −381451. 5.09010e6i −0.0639948 0.853952i
\(514\) 2.83268e6 + 873768.i 0.472923 + 0.145877i
\(515\) 1.25493e6 + 387094.i 0.208497 + 0.0643129i
\(516\) 398191. + 5.31349e6i 0.0658365 + 0.878527i
\(517\) −495501. 238621.i −0.0815302 0.0392629i
\(518\) 406672. 2.07756e6i 0.0665917 0.340196i
\(519\) −3.84764e6 + 1.85293e6i −0.627013 + 0.301953i
\(520\) −904502. 1.56664e6i −0.146690 0.254075i
\(521\) 1.88974e6 3.27313e6i 0.305006 0.528286i −0.672256 0.740318i \(-0.734675\pi\)
0.977263 + 0.212032i \(0.0680081\pi\)
\(522\) −513727. + 6.85520e6i −0.0825193 + 1.10114i
\(523\) −1.71423e6 + 4.36779e6i −0.274041 + 0.698245i 0.725904 + 0.687796i \(0.241421\pi\)
−0.999945 + 0.0104496i \(0.996674\pi\)
\(524\) 4.48297e6 + 1.96412e7i 0.713243 + 3.12492i
\(525\) 3.81060e6 696162.i 0.603386 0.110233i
\(526\) 1.17385e6 5.14299e6i 0.184991 0.810497i
\(527\) 1.23110e6 + 839348.i 0.193093 + 0.131648i
\(528\) −3.50628e6 3.25335e6i −0.547346 0.507863i
\(529\) 1.91175e6 288150.i 0.297024 0.0447692i
\(530\) 3.56437e6 3.30725e6i 0.551180 0.511420i
\(531\) 3.55714e6 4.46051e6i 0.547475 0.686512i
\(532\) 3.41667e6 9.57041e6i 0.523389 1.46606i
\(533\) 809600. + 1.01521e6i 0.123439 + 0.154788i
\(534\) 8.41730e6 + 1.26870e6i 1.27738 + 0.192534i
\(535\) 1.24811e6 850950.i 0.188525 0.128534i
\(536\) −6.03569e6 1.53787e7i −0.907434 2.31210i
\(537\) 2.90554e6 896240.i 0.434801 0.134118i
\(538\) −1.02109e7 −1.52093
\(539\) 7.59225e6 + 4.51191e6i 1.12564 + 0.668942i
\(540\) 5.17329e6 0.763453
\(541\) 7.08940e6 2.18679e6i 1.04140 0.321229i 0.273548 0.961858i \(-0.411803\pi\)
0.767850 + 0.640630i \(0.221327\pi\)
\(542\) −3.44806e6 8.78552e6i −0.504170 1.28460i
\(543\) 2.70333e6 1.84310e6i 0.393459 0.268256i
\(544\) −1.87524e6 282647.i −0.271681 0.0409494i
\(545\) 31420.0 + 39399.5i 0.00453122 + 0.00568197i
\(546\) 2.21073e6 + 3.56807e6i 0.317361 + 0.512214i
\(547\) −3.62789e6 + 4.54923e6i −0.518425 + 0.650085i −0.970274 0.242010i \(-0.922193\pi\)
0.451848 + 0.892095i \(0.350765\pi\)
\(548\) −1.74612e7 + 1.62017e7i −2.48384 + 2.30467i
\(549\) 3.71452e6 559874.i 0.525983 0.0792792i
\(550\) 1.00491e7 + 9.32420e6i 1.41651 + 1.31433i
\(551\) 6.19940e6 + 4.22668e6i 0.869903 + 0.593090i
\(552\) 1.51379e6 6.63237e6i 0.211456 0.926448i
\(553\) −4.64096e6 + 3.38022e6i −0.645349 + 0.470037i
\(554\) −5.30502e6 2.32428e7i −0.734366 3.21747i
\(555\) 141993. 361792.i 0.0195674 0.0498570i
\(556\) −1.76085e6 + 2.34969e7i −0.241565 + 3.22346i
\(557\) 1.35258e6 2.34273e6i 0.184724 0.319951i −0.758759 0.651371i \(-0.774194\pi\)
0.943483 + 0.331420i \(0.107528\pi\)
\(558\) −592902. 1.02694e6i −0.0806116 0.139623i
\(559\) 2.10836e6 1.01533e6i 0.285374 0.137429i
\(560\) 2.02022e6 + 896610.i 0.272226 + 0.120819i
\(561\) 7.66614e6 + 3.69182e6i 1.02842 + 0.495260i
\(562\) −32840.5 438225.i −0.00438600 0.0585271i
\(563\) 9.07697e6 + 2.79987e6i 1.20690 + 0.372278i 0.831993 0.554786i \(-0.187200\pi\)
0.374903 + 0.927064i \(0.377676\pi\)
\(564\) 686055. + 211620.i 0.0908157 + 0.0280129i
\(565\) 65.2031 + 870.075i 8.59305e−6 + 0.000114666i
\(566\) −1.43292e6 690060.i −0.188011 0.0905411i
\(567\) −2.01274e6 + 62613.2i −0.262923 + 0.00817915i
\(568\) 1.60095e6 770978.i 0.208213 0.100270i
\(569\) −343051. 594181.i −0.0444199 0.0769375i 0.842961 0.537975i \(-0.180811\pi\)
−0.887381 + 0.461038i \(0.847477\pi\)
\(570\) 1.41560e6 2.45189e6i 0.182496 0.316092i
\(571\) 95818.4 1.27861e6i 0.0122987 0.164115i −0.987673 0.156534i \(-0.949968\pi\)
0.999971 0.00758062i \(-0.00241301\pi\)
\(572\) −3.57611e6 + 9.11178e6i −0.457005 + 1.16443i
\(573\) −1.51387e6 6.63268e6i −0.192620 0.843922i
\(574\) −5.21922e6 1.43380e6i −0.661189 0.181638i
\(575\) −1.27171e6 + 5.57171e6i −0.160405 + 0.702779i
\(576\) 3.84807e6 + 2.62357e6i 0.483266 + 0.329485i
\(577\) 3.76910e6 + 3.49722e6i 0.471301 + 0.437304i 0.879721 0.475491i \(-0.157729\pi\)
−0.408420 + 0.912794i \(0.633920\pi\)
\(578\) −6.80283e6 + 1.02536e6i −0.846974 + 0.127661i
\(579\) 3.84816e6 3.57057e6i 0.477042 0.442630i
\(580\) −4.74130e6 + 5.94540e6i −0.585231 + 0.733857i
\(581\) −2.88662e6 + 989701.i −0.354773 + 0.121636i
\(582\) −9.15978e6 1.14860e7i −1.12093 1.40560i
\(583\) −1.25516e7 1.89186e6i −1.52943 0.230524i
\(584\) −1.52877e7 + 1.04230e7i −1.85486 + 1.26462i
\(585\) −274257. 698796.i −0.0331336 0.0844230i
\(586\) −2.05681e7 + 6.34441e6i −2.47428 + 0.763216i
\(587\) 7.08875e6 0.849131 0.424565 0.905397i \(-0.360427\pi\)
0.424565 + 0.905397i \(0.360427\pi\)
\(588\) −1.06785e7 4.34707e6i −1.27369 0.518506i
\(589\) −1.29426e6 −0.153721
\(590\) 9.15183e6 2.82297e6i 1.08238 0.333869i
\(591\) 3.59584e6 + 9.16204e6i 0.423478 + 1.07901i
\(592\) −1.14275e6 + 779112.i −0.134013 + 0.0913683i
\(593\) −3.85330e6 580792.i −0.449983 0.0678241i −0.0798587 0.996806i \(-0.525447\pi\)
−0.370125 + 0.928982i \(0.620685\pi\)
\(594\) −1.27781e7 1.60233e7i −1.48594 1.86331i
\(595\) −3.90427e6 464839.i −0.452114 0.0538282i
\(596\) −1.37236e7 + 1.72089e7i −1.58254 + 1.98444i
\(597\) 7.85865e6 7.29176e6i 0.902427 0.837330i
\(598\) −6.12349e6 + 922967.i −0.700238 + 0.105544i
\(599\) −2.34550e6 2.17630e6i −0.267096 0.247829i 0.535242 0.844699i \(-0.320220\pi\)
−0.802338 + 0.596870i \(0.796411\pi\)
\(600\) −7.13371e6 4.86368e6i −0.808979 0.551553i
\(601\) 1.98446e6 8.69447e6i 0.224107 0.981876i −0.730243 0.683187i \(-0.760593\pi\)
0.954350 0.298689i \(-0.0965495\pi\)
\(602\) −4.61214e6 + 8.59506e6i −0.518694 + 0.966624i
\(603\) −1.52553e6 6.68376e6i −0.170854 0.748562i
\(604\) 8.96418e6 2.28404e7i 0.999812 2.54748i
\(605\) −178706. + 2.38467e6i −0.0198496 + 0.264874i
\(606\) −1.06517e7 + 1.84493e7i −1.17825 + 2.04079i
\(607\) −1.15581e6 2.00192e6i −0.127325 0.220534i 0.795314 0.606197i \(-0.207306\pi\)
−0.922639 + 0.385664i \(0.873973\pi\)
\(608\) 1.48415e6 714731.i 0.162825 0.0784122i
\(609\) 5.09811e6 6.81735e6i 0.557013 0.744856i
\(610\) 5.68150e6 + 2.73607e6i 0.618214 + 0.297716i
\(611\) −23562.9 314425.i −0.00255344 0.0340733i
\(612\) 1.03399e7 + 3.18944e6i 1.11593 + 0.344220i
\(613\) −9.02118e6 2.78266e6i −0.969643 0.299095i −0.230821 0.972996i \(-0.574141\pi\)
−0.738822 + 0.673901i \(0.764618\pi\)
\(614\) −1.68305e6 2.24588e7i −0.180168 2.40417i
\(615\) −895289. 431148.i −0.0954499 0.0459662i
\(616\) −4.97491e6 1.90459e7i −0.528243 2.02232i
\(617\) 980390. 472131.i 0.103678 0.0499286i −0.381326 0.924441i \(-0.624532\pi\)
0.485004 + 0.874512i \(0.338818\pi\)
\(618\) 3.39591e6 + 5.88189e6i 0.357672 + 0.619506i
\(619\) −7.55943e6 + 1.30933e7i −0.792980 + 1.37348i 0.131134 + 0.991365i \(0.458138\pi\)
−0.924114 + 0.382117i \(0.875195\pi\)
\(620\) 98025.8 1.30806e6i 0.0102414 0.136662i
\(621\) 3.12148e6 7.95339e6i 0.324811 0.827606i
\(622\) 2.45556e6 + 1.07585e7i 0.254492 + 1.11500i
\(623\) 7.74094e6 + 6.74698e6i 0.799049 + 0.696449i
\(624\) 610212. 2.67352e6i 0.0627364 0.274866i
\(625\) 4.87790e6 + 3.32570e6i 0.499497 + 0.340552i
\(626\) −2.60884e6 2.42065e6i −0.266079 0.246885i
\(627\) −7.30841e6 + 1.10156e6i −0.742427 + 0.111903i
\(628\) −1.83945e7 + 1.70676e7i −1.86118 + 1.72693i
\(629\) 1.53401e6 1.92359e6i 0.154597 0.193859i
\(630\) 2.63896e6 + 1.68146e6i 0.264900 + 0.168785i
\(631\) −1.91284e6 2.39862e6i −0.191252 0.239822i 0.676955 0.736024i \(-0.263299\pi\)
−0.868207 + 0.496202i \(0.834728\pi\)
\(632\) 1.26541e7 + 1.90730e6i 1.26020 + 0.189944i
\(633\) 2.66639e6 1.81791e6i 0.264493 0.180328i
\(634\) 6.39456e6 + 1.62931e7i 0.631811 + 1.60983i
\(635\) 4.40233e6 1.35794e6i 0.433259 0.133643i
\(636\) 1.65706e7 1.62441
\(637\) −63812.0 + 5.06302e6i −0.00623094 + 0.494380i
\(638\) 3.01259e7 2.93014
\(639\) 704616. 217345.i 0.0682653 0.0210571i
\(640\) 2.54066e6 + 6.47349e6i 0.245186 + 0.624724i
\(641\) 316889. 216051.i 0.0304623 0.0207688i −0.547993 0.836483i \(-0.684608\pi\)
0.578455 + 0.815714i \(0.303656\pi\)
\(642\) 7.72507e6 + 1.16437e6i 0.739715 + 0.111494i
\(643\) 6.21757e6 + 7.79659e6i 0.593053 + 0.743665i 0.984277 0.176631i \(-0.0565198\pi\)
−0.391224 + 0.920295i \(0.627948\pi\)
\(644\) 1.21033e7 1.19517e7i 1.14998 1.13557i
\(645\) −1.11654e6 + 1.40010e6i −0.105676 + 0.132514i
\(646\) 1.31382e7 1.21905e7i 1.23867 1.14932i
\(647\) 1.35299e6 203930.i 0.127067 0.0191523i −0.0852008 0.996364i \(-0.527153\pi\)
0.212268 + 0.977212i \(0.431915\pi\)
\(648\) 3.29017e6 + 3.05283e6i 0.307809 + 0.285605i
\(649\) −2.06576e7 1.40841e7i −1.92517 1.31256i
\(650\) −1.74889e6 + 7.66237e6i −0.162360 + 0.711344i
\(651\) −64151.0 + 1.46701e6i −0.00593268 + 0.135669i
\(652\) −1.76379e6 7.72768e6i −0.162491 0.711918i
\(653\) 3.13761e6 7.99451e6i 0.287949 0.733683i −0.711568 0.702617i \(-0.752015\pi\)
0.999517 0.0310659i \(-0.00989018\pi\)
\(654\) −19476.2 + 259892.i −0.00178057 + 0.0237601i
\(655\) −3.38544e6 + 5.86376e6i −0.308327 + 0.534039i
\(656\) 1.76807e6 + 3.06239e6i 0.160413 + 0.277844i
\(657\) −6.91779e6 + 3.33143e6i −0.625250 + 0.301105i
\(658\) 851011. + 1.00159e6i 0.0766250 + 0.0901830i
\(659\) −5.18339e6 2.49619e6i −0.464944 0.223905i 0.186720 0.982413i \(-0.440214\pi\)
−0.651664 + 0.758508i \(0.725929\pi\)
\(660\) −559784. 7.46979e6i −0.0500219 0.667496i
\(661\) 1.22968e7 + 3.79305e6i 1.09468 + 0.337665i 0.788953 0.614454i \(-0.210624\pi\)
0.305729 + 0.952119i \(0.401100\pi\)
\(662\) 4.13958e6 + 1.27689e6i 0.367123 + 0.113242i
\(663\) 364553. + 4.86462e6i 0.0322090 + 0.429799i
\(664\) 6.12803e6 + 2.95110e6i 0.539387 + 0.259755i
\(665\) 3.02953e6 1.57681e6i 0.265657 0.138269i
\(666\) −1.76415e6 + 849570.i −0.154117 + 0.0742187i
\(667\) 6.27962e6 + 1.08766e7i 0.546536 + 0.946627i
\(668\) 3.50897e6 6.07771e6i 0.304255 0.526985i
\(669\) −612790. + 8.17712e6i −0.0529354 + 0.706374i
\(670\) 4.20456e6 1.07130e7i 0.361854 0.921988i
\(671\) −3.66315e6 1.60493e7i −0.314086 1.37610i
\(672\) −736565. 1.71767e6i −0.0629199 0.146730i
\(673\) −1.17950e6 + 5.16774e6i −0.100383 + 0.439807i 0.899612 + 0.436690i \(0.143849\pi\)
−0.999995 + 0.00311728i \(0.999008\pi\)
\(674\) 2.16408e7 + 1.47545e7i 1.83495 + 1.25105i
\(675\) −7.94896e6 7.37556e6i −0.671507 0.623068i
\(676\) 1.71516e7 2.58519e6i 1.44357 0.217583i
\(677\) −3.17539e6 + 2.94633e6i −0.266272 + 0.247065i −0.801997 0.597328i \(-0.796229\pi\)
0.535725 + 0.844393i \(0.320039\pi\)
\(678\) −2813.41 + 3527.91i −0.000235050 + 0.000294743i
\(679\) −1.87324e6 1.76229e7i −0.155926 1.46690i
\(680\) 5.46403e6 + 6.85168e6i 0.453149 + 0.568231i
\(681\) −3.48780e6 525701.i −0.288193 0.0434381i
\(682\) −4.29360e6 + 2.92733e6i −0.353477 + 0.240996i
\(683\) 2.88380e6 + 7.34780e6i 0.236545 + 0.602706i 0.999018 0.0443141i \(-0.0141102\pi\)
−0.762473 + 0.647020i \(0.776015\pi\)
\(684\) −8.98154e6 + 2.77044e6i −0.734025 + 0.226417i
\(685\) −8.00555e6 −0.651876
\(686\) −1.22100e7 1.72158e7i −0.990613 1.39674i
\(687\) 489409. 0.0395621
\(688\) 6.08958e6 1.87839e6i 0.490474 0.151291i
\(689\) −2.65874e6 6.77435e6i −0.213367 0.543650i
\(690\) 3.91557e6 2.66959e6i 0.313092 0.213463i
\(691\) 1.00694e7 + 1.51772e6i 0.802250 + 0.120920i 0.537353 0.843357i \(-0.319424\pi\)
0.264896 + 0.964277i \(0.414662\pi\)
\(692\) 1.48390e7 + 1.86075e7i 1.17798 + 1.47714i
\(693\) −863436. 8.12294e6i −0.0682963 0.642511i
\(694\) −1.89636e7 + 2.37796e7i −1.49459 + 1.87416i
\(695\) −5.80512e6 + 5.38637e6i −0.455879 + 0.422994i
\(696\) −1.87620e7 + 2.82792e6i −1.46810 + 0.221281i
\(697\) −4.61126e6 4.27863e6i −0.359532 0.333597i
\(698\) 8.18201e6 + 5.57840e6i 0.635655 + 0.433382i
\(699\) −3.02399e6 + 1.32490e7i −0.234093 + 1.02563i
\(700\) −8.50802e6 1.98408e7i −0.656271 1.53043i
\(701\) 1.60318e6 + 7.02397e6i 0.123221 + 0.539868i 0.998424 + 0.0561124i \(0.0178705\pi\)
−0.875203 + 0.483756i \(0.839272\pi\)
\(702\) 4.29275e6 1.09377e7i 0.328770 0.837693i
\(703\) −159709. + 2.13117e6i −0.0121882 + 0.162641i
\(704\) 1.02049e7 1.76755e7i 0.776031 1.34412i
\(705\) 120647. + 208966.i 0.00914203 + 0.0158345i
\(706\) 2.26916e7 1.09277e7i 1.71338 0.825119i
\(707\) −2.27958e7 + 1.18648e7i −1.71516 + 0.892710i
\(708\) 2.94066e7 + 1.41614e7i 2.20476 + 1.06176i
\(709\) 1.25308e6 + 1.67212e7i 0.0936187 + 1.24925i 0.824149 + 0.566374i \(0.191654\pi\)
−0.730530 + 0.682881i \(0.760727\pi\)
\(710\) 1.18284e6 + 364857.i 0.0880602 + 0.0271630i
\(711\) 5.07450e6 + 1.56528e6i 0.376461 + 0.116123i
\(712\) −1.71038e6 2.28235e7i −0.126443 1.68726i
\(713\) −1.95186e6 939968.i −0.143789 0.0692451i
\(714\) −1.31664e7 1.54961e7i −0.966543 1.13756i
\(715\) −2.96396e6 + 1.42737e6i −0.216824 + 0.104417i
\(716\) −8.47271e6 1.46752e7i −0.617647 1.06980i
\(717\) 5.57125e6 9.64970e6i 0.404720 0.700996i
\(718\) −779755. + 1.04051e7i −0.0564478 + 0.753244i
\(719\) −3.31333e6 + 8.44222e6i −0.239024 + 0.609024i −0.999170 0.0407282i \(-0.987032\pi\)
0.760146 + 0.649753i \(0.225127\pi\)
\(720\) −454904. 1.99307e6i −0.0327031 0.143282i
\(721\) −357934. + 8.18525e6i −0.0256428 + 0.586399i
\(722\) 1.87294e6 8.20587e6i 0.133715 0.585844i
\(723\) −1.03673e6 706828.i −0.0737596 0.0502885i
\(724\) −1.33665e7 1.24023e7i −0.947702 0.879339i
\(725\) 1.57615e7 2.37567e6i 1.11366 0.167858i
\(726\) −9.06590e6 + 8.41192e6i −0.638365 + 0.592316i
\(727\) −1.50014e7 + 1.88112e7i −1.05268 + 1.32002i −0.107239 + 0.994233i \(0.534201\pi\)
−0.945443 + 0.325788i \(0.894370\pi\)
\(728\) 8.03038e6 7.92980e6i 0.561575 0.554541i
\(729\) 7.92925e6 + 9.94297e6i 0.552603 + 0.692943i
\(730\) −1.27454e7 1.92106e6i −0.885208 0.133424i
\(731\) −9.36664e6 + 6.38607e6i −0.648321 + 0.442018i
\(732\) 7.85131e6 + 2.00048e7i 0.541582 + 1.37993i
\(733\) −8.98278e6 + 2.77082e6i −0.617520 + 0.190480i −0.587704 0.809076i \(-0.699968\pi\)
−0.0298155 + 0.999555i \(0.509492\pi\)
\(734\) −4.02651e7 −2.75860
\(735\) −1.63711e6 3.51204e6i −0.111779 0.239796i
\(736\) 2.75733e6 0.187626
\(737\) −2.87089e7 + 8.85551e6i −1.94692 + 0.600544i
\(738\) 1.82898e6 + 4.66018e6i 0.123614 + 0.314964i
\(739\) 1.77509e6 1.21023e6i 0.119566 0.0815188i −0.502060 0.864833i \(-0.667425\pi\)
0.621627 + 0.783314i \(0.286472\pi\)
\(740\) −2.14180e6 322825.i −0.143781 0.0216714i
\(741\) −2.64197e6 3.31293e6i −0.176759 0.221649i
\(742\) 2.55829e7 + 1.63006e7i 1.70585 + 1.08691i
\(743\) 1.33351e7 1.67216e7i 0.886182 1.11124i −0.106953 0.994264i \(-0.534109\pi\)
0.993135 0.116973i \(-0.0373191\pi\)
\(744\) 2.39921e6 2.22614e6i 0.158904 0.147442i
\(745\) −7.31497e6 + 1.10255e6i −0.482861 + 0.0727796i
\(746\) −3.36203e7 3.11950e7i −2.21184 2.05229i
\(747\) 2.33204e6 + 1.58996e6i 0.152910 + 0.104252i
\(748\) 1.05518e7 4.62305e7i 0.689562 3.02117i
\(749\) 7.10433e6 + 6.19212e6i 0.462721 + 0.403306i
\(750\) −2.89132e6 1.26677e7i −0.187691 0.822327i
\(751\) 6.25762e6 1.59441e7i 0.404864 1.03158i −0.572480 0.819919i \(-0.694019\pi\)
0.977344 0.211658i \(-0.0678862\pi\)
\(752\) 64168.0 856262.i 0.00413784 0.0552156i
\(753\) −1.54483e6 + 2.67572e6i −0.0992869 + 0.171970i
\(754\) 8.63591e6 + 1.49578e7i 0.553197 + 0.958165i
\(755\) 7.42972e6 3.57797e6i 0.474357 0.228438i
\(756\) 8.15663e6 + 3.12267e7i 0.519046 + 1.98711i
\(757\) −1.18178e7 5.69116e6i −0.749545 0.360962i 0.0197929 0.999804i \(-0.493699\pi\)
−0.769338 + 0.638842i \(0.779414\pi\)
\(758\) 839147. + 1.11976e7i 0.0530475 + 0.707870i
\(759\) −1.18218e7 3.64654e6i −0.744867 0.229761i
\(760\) −7.27414e6 2.24377e6i −0.456823 0.140911i
\(761\) 814738. + 1.08719e7i 0.0509984