Properties

Label 49.6.g.a.2.13
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.16057 + 0.666447i) q^{2} +(6.26230 - 15.9561i) q^{3} +(-22.2157 - 15.1464i) q^{4} +(0.666814 - 0.100506i) q^{5} +(24.1640 - 30.3007i) q^{6} +(-129.491 + 6.24655i) q^{7} +(-83.0154 - 104.098i) q^{8} +(-37.2488 - 34.5618i) q^{9} +O(q^{10})\) \(q+(2.16057 + 0.666447i) q^{2} +(6.26230 - 15.9561i) q^{3} +(-22.2157 - 15.1464i) q^{4} +(0.666814 - 0.100506i) q^{5} +(24.1640 - 30.3007i) q^{6} +(-129.491 + 6.24655i) q^{7} +(-83.0154 - 104.098i) q^{8} +(-37.2488 - 34.5618i) q^{9} +(1.50768 + 0.227246i) q^{10} +(-298.436 + 276.908i) q^{11} +(-380.800 + 259.625i) q^{12} +(-104.771 - 459.031i) q^{13} +(-283.938 - 72.8029i) q^{14} +(2.57211 - 11.2691i) q^{15} +(204.358 + 520.696i) q^{16} +(-74.3686 - 992.380i) q^{17} +(-57.4449 - 99.4975i) q^{18} +(904.716 - 1567.01i) q^{19} +(-16.3361 - 7.86704i) q^{20} +(-711.243 + 2105.29i) q^{21} +(-829.336 + 399.387i) q^{22} +(317.805 - 4240.81i) q^{23} +(-2180.87 + 672.708i) q^{24} +(-2985.73 + 920.976i) q^{25} +(79.5553 - 1061.59i) q^{26} +(2968.03 - 1429.33i) q^{27} +(2971.36 + 1822.56i) q^{28} +(-1445.57 - 696.150i) q^{29} +(13.0675 - 22.6336i) q^{30} +(3404.67 + 5897.07i) q^{31} +(412.915 + 5509.96i) q^{32} +(2549.48 + 6495.96i) q^{33} +(500.690 - 2193.67i) q^{34} +(-85.7187 + 17.1799i) q^{35} +(304.021 + 1332.00i) q^{36} +(10944.4 - 7461.74i) q^{37} +(2999.03 - 2782.69i) q^{38} +(-7980.45 - 1202.86i) q^{39} +(-65.8183 - 61.0705i) q^{40} +(2098.93 + 2631.97i) q^{41} +(-2939.75 + 4074.62i) q^{42} +(-2532.08 + 3175.12i) q^{43} +(10824.2 - 1631.48i) q^{44} +(-28.3117 - 19.3026i) q^{45} +(3512.91 - 8950.76i) q^{46} +(-12738.4 - 3929.27i) q^{47} +9588.03 q^{48} +(16729.0 - 1617.75i) q^{49} -7064.65 q^{50} +(-16300.2 - 5027.95i) q^{51} +(-4625.12 + 11784.6i) q^{52} +(7974.30 + 5436.79i) q^{53} +(7365.21 - 1110.13i) q^{54} +(-171.170 + 214.641i) q^{55} +(11400.0 + 12961.2i) q^{56} +(-19337.8 - 24248.8i) q^{57} +(-2659.31 - 2467.48i) q^{58} +(-28135.0 - 4240.67i) q^{59} +(-227.829 + 211.394i) q^{60} +(-7371.27 + 5025.65i) q^{61} +(3425.95 + 15010.1i) q^{62} +(5039.28 + 4242.78i) q^{63} +(1203.07 - 5271.00i) q^{64} +(-115.998 - 295.558i) q^{65} +(1179.10 + 15734.0i) q^{66} +(-28348.0 - 49100.1i) q^{67} +(-13378.9 + 23172.9i) q^{68} +(-65676.6 - 31628.2i) q^{69} +(-196.651 - 20.0086i) q^{70} +(15884.8 - 7649.72i) q^{71} +(-505.594 + 6746.69i) q^{72} +(-4693.01 + 1447.60i) q^{73} +(28618.9 - 8827.76i) q^{74} +(-4002.38 + 53408.0i) q^{75} +(-43833.6 + 21109.2i) q^{76} +(36915.1 - 37721.4i) q^{77} +(-16440.7 - 7917.40i) q^{78} +(1726.06 - 2989.62i) q^{79} +(188.602 + 326.668i) q^{80} +(-5142.52 - 68622.2i) q^{81} +(2780.80 + 7085.37i) q^{82} +(12865.0 - 56365.0i) q^{83} +(47688.5 - 35997.8i) q^{84} +(-149.330 - 654.258i) q^{85} +(-7586.77 + 5172.57i) q^{86} +(-20160.4 + 18706.2i) q^{87} +(53600.4 + 8078.96i) q^{88} +(104366. + 96837.0i) q^{89} +(-48.3052 - 60.5728i) q^{90} +(16434.3 + 58786.1i) q^{91} +(-71293.4 + 89399.1i) q^{92} +(115415. - 17396.1i) q^{93} +(-24903.5 - 16978.9i) q^{94} +(445.783 - 1135.84i) q^{95} +(90503.3 + 27916.6i) q^{96} -15210.2 q^{97} +(37222.2 + 7653.71i) q^{98} +20686.8 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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.16057 + 0.666447i 0.381938 + 0.117812i 0.479778 0.877390i \(-0.340717\pi\)
−0.0978401 + 0.995202i \(0.531193\pi\)
\(3\) 6.26230 15.9561i 0.401727 1.02358i −0.576694 0.816961i \(-0.695657\pi\)
0.978421 0.206623i \(-0.0662474\pi\)
\(4\) −22.2157 15.1464i −0.694242 0.473326i
\(5\) 0.666814 0.100506i 0.0119283 0.00179791i −0.143075 0.989712i \(-0.545699\pi\)
0.155004 + 0.987914i \(0.450461\pi\)
\(6\) 24.1640 30.3007i 0.274026 0.343617i
\(7\) −129.491 + 6.24655i −0.998839 + 0.0481831i
\(8\) −83.0154 104.098i −0.458600 0.575066i
\(9\) −37.2488 34.5618i −0.153287 0.142230i
\(10\) 1.50768 + 0.227246i 0.00476770 + 0.000718615i
\(11\) −298.436 + 276.908i −0.743652 + 0.690008i −0.958006 0.286748i \(-0.907426\pi\)
0.214354 + 0.976756i \(0.431235\pi\)
\(12\) −380.800 + 259.625i −0.763385 + 0.520467i
\(13\) −104.771 459.031i −0.171942 0.753327i −0.985198 0.171421i \(-0.945164\pi\)
0.813256 0.581906i \(-0.197693\pi\)
\(14\) −283.938 72.8029i −0.387171 0.0992725i
\(15\) 2.57211 11.2691i 0.00295162 0.0129319i
\(16\) 204.358 + 520.696i 0.199569 + 0.508493i
\(17\) −74.3686 992.380i −0.0624119 0.832828i −0.937305 0.348511i \(-0.886687\pi\)
0.874893 0.484317i \(-0.160932\pi\)
\(18\) −57.4449 99.4975i −0.0417898 0.0723821i
\(19\) 904.716 1567.01i 0.574948 0.995838i −0.421100 0.907014i \(-0.638356\pi\)
0.996047 0.0888241i \(-0.0283109\pi\)
\(20\) −16.3361 7.86704i −0.00913214 0.00439781i
\(21\) −711.243 + 2105.29i −0.351941 + 1.04175i
\(22\) −829.336 + 399.387i −0.365320 + 0.175929i
\(23\) 317.805 4240.81i 0.125268 1.67159i −0.481300 0.876556i \(-0.659835\pi\)
0.606568 0.795032i \(-0.292546\pi\)
\(24\) −2180.87 + 672.708i −0.772860 + 0.238396i
\(25\) −2985.73 + 920.976i −0.955434 + 0.294712i
\(26\) 79.5553 1061.59i 0.0230800 0.307981i
\(27\) 2968.03 1429.33i 0.783537 0.377331i
\(28\) 2971.36 + 1822.56i 0.716242 + 0.439326i
\(29\) −1445.57 696.150i −0.319186 0.153712i 0.267429 0.963577i \(-0.413826\pi\)
−0.586616 + 0.809865i \(0.699540\pi\)
\(30\) 13.0675 22.6336i 0.00265088 0.00459145i
\(31\) 3404.67 + 5897.07i 0.636314 + 1.10213i 0.986235 + 0.165349i \(0.0528750\pi\)
−0.349921 + 0.936779i \(0.613792\pi\)
\(32\) 412.915 + 5509.96i 0.0712829 + 0.951204i
\(33\) 2549.48 + 6495.96i 0.407536 + 1.03838i
\(34\) 500.690 2193.67i 0.0742799 0.325442i
\(35\) −85.7187 + 17.1799i −0.0118278 + 0.00237056i
\(36\) 304.021 + 1332.00i 0.0390973 + 0.171297i
\(37\) 10944.4 7461.74i 1.31428 0.896058i 0.315671 0.948869i \(-0.397771\pi\)
0.998605 + 0.0528113i \(0.0168182\pi\)
\(38\) 2999.03 2782.69i 0.336916 0.312613i
\(39\) −7980.45 1202.86i −0.840167 0.126635i
\(40\) −65.8183 61.0705i −0.00650424 0.00603506i
\(41\) 2098.93 + 2631.97i 0.195001 + 0.244524i 0.869713 0.493557i \(-0.164304\pi\)
−0.674712 + 0.738081i \(0.735732\pi\)
\(42\) −2939.75 + 4074.62i −0.257151 + 0.356421i
\(43\) −2532.08 + 3175.12i −0.208836 + 0.261872i −0.875207 0.483748i \(-0.839275\pi\)
0.666371 + 0.745620i \(0.267847\pi\)
\(44\) 10824.2 1631.48i 0.842873 0.127043i
\(45\) −28.3117 19.3026i −0.00208418 0.00142097i
\(46\) 3512.91 8950.76i 0.244778 0.623685i
\(47\) −12738.4 3929.27i −0.841143 0.259458i −0.155900 0.987773i \(-0.549828\pi\)
−0.685243 + 0.728315i \(0.740304\pi\)
\(48\) 9588.03 0.600657
\(49\) 16729.0 1617.75i 0.995357 0.0962544i
\(50\) −7064.65 −0.399637
\(51\) −16300.2 5027.95i −0.877542 0.270686i
\(52\) −4625.12 + 11784.6i −0.237200 + 0.604376i
\(53\) 7974.30 + 5436.79i 0.389945 + 0.265860i 0.742384 0.669975i \(-0.233695\pi\)
−0.352439 + 0.935835i \(0.614648\pi\)
\(54\) 7365.21 1110.13i 0.343717 0.0518070i
\(55\) −171.170 + 214.641i −0.00762995 + 0.00956766i
\(56\) 11400.0 + 12961.2i 0.485776 + 0.552301i
\(57\) −19337.8 24248.8i −0.788352 0.988562i
\(58\) −2659.31 2467.48i −0.103800 0.0963126i
\(59\) −28135.0 4240.67i −1.05224 0.158600i −0.399927 0.916547i \(-0.630965\pi\)
−0.652317 + 0.757946i \(0.726203\pi\)
\(60\) −227.829 + 211.394i −0.00817015 + 0.00758079i
\(61\) −7371.27 + 5025.65i −0.253640 + 0.172929i −0.683465 0.729984i \(-0.739528\pi\)
0.429825 + 0.902912i \(0.358575\pi\)
\(62\) 3425.95 + 15010.1i 0.113188 + 0.495910i
\(63\) 5039.28 + 4242.78i 0.159962 + 0.134679i
\(64\) 1203.07 5271.00i 0.0367148 0.160858i
\(65\) −115.998 295.558i −0.00340539 0.00867680i
\(66\) 1179.10 + 15734.0i 0.0333190 + 0.444611i
\(67\) −28348.0 49100.1i −0.771498 1.33627i −0.936742 0.350021i \(-0.886174\pi\)
0.165244 0.986253i \(-0.447159\pi\)
\(68\) −13378.9 + 23172.9i −0.350870 + 0.607725i
\(69\) −65676.6 31628.2i −1.66069 0.799745i
\(70\) −196.651 20.0086i −0.00479679 0.000488058i
\(71\) 15884.8 7649.72i 0.373969 0.180094i −0.237452 0.971399i \(-0.576312\pi\)
0.611422 + 0.791305i \(0.290598\pi\)
\(72\) −505.594 + 6746.69i −0.0114940 + 0.153377i
\(73\) −4693.01 + 1447.60i −0.103073 + 0.0317938i −0.345863 0.938285i \(-0.612414\pi\)
0.242790 + 0.970079i \(0.421938\pi\)
\(74\) 28618.9 8827.76i 0.607538 0.187401i
\(75\) −4002.38 + 53408.0i −0.0821608 + 1.09636i
\(76\) −43833.6 + 21109.2i −0.870509 + 0.419215i
\(77\) 36915.1 37721.4i 0.709541 0.725038i
\(78\) −16440.7 7917.40i −0.305973 0.147349i
\(79\) 1726.06 2989.62i 0.0311162 0.0538949i −0.850048 0.526705i \(-0.823427\pi\)
0.881164 + 0.472810i \(0.156760\pi\)
\(80\) 188.602 + 326.668i 0.00329474 + 0.00570666i
\(81\) −5142.52 68622.2i −0.0870891 1.16212i
\(82\) 2780.80 + 7085.37i 0.0456705 + 0.116366i
\(83\) 12865.0 56365.0i 0.204981 0.898079i −0.762870 0.646552i \(-0.776210\pi\)
0.967850 0.251527i \(-0.0809326\pi\)
\(84\) 47688.5 35997.8i 0.737420 0.556645i
\(85\) −149.330 654.258i −0.00224182 0.00982204i
\(86\) −7586.77 + 5172.57i −0.110614 + 0.0754155i
\(87\) −20160.4 + 18706.2i −0.285563 + 0.264964i
\(88\) 53600.4 + 8078.96i 0.737839 + 0.111211i
\(89\) 104366. + 96837.0i 1.39663 + 1.29589i 0.905211 + 0.424963i \(0.139713\pi\)
0.491422 + 0.870922i \(0.336477\pi\)
\(90\) −48.3052 60.5728i −0.000628619 0.000788263i
\(91\) 16434.3 + 58786.1i 0.208040 + 0.744168i
\(92\) −71293.4 + 89399.1i −0.878173 + 1.10119i
\(93\) 115415. 17396.1i 1.38374 0.208566i
\(94\) −24903.5 16978.9i −0.290697 0.198194i
\(95\) 445.783 1135.84i 0.00506774 0.0129124i
\(96\) 90503.3 + 27916.6i 1.00227 + 0.309160i
\(97\) −15210.2 −0.164137 −0.0820684 0.996627i \(-0.526153\pi\)
−0.0820684 + 0.996627i \(0.526153\pi\)
\(98\) 37222.2 + 7653.71i 0.391505 + 0.0805020i
\(99\) 20686.8 0.212132
\(100\) 80279.7 + 24763.0i 0.802797 + 0.247630i
\(101\) −42058.0 + 107162.i −0.410246 + 1.04529i 0.565181 + 0.824967i \(0.308806\pi\)
−0.975427 + 0.220323i \(0.929289\pi\)
\(102\) −31866.9 21726.5i −0.303277 0.206770i
\(103\) −71633.1 + 10797.0i −0.665305 + 0.100279i −0.473008 0.881058i \(-0.656832\pi\)
−0.192297 + 0.981337i \(0.561594\pi\)
\(104\) −39086.6 + 49013.1i −0.354360 + 0.444354i
\(105\) −262.672 + 1475.32i −0.00232510 + 0.0130591i
\(106\) 13605.7 + 17061.0i 0.117613 + 0.147482i
\(107\) 16626.8 + 15427.4i 0.140394 + 0.130266i 0.747244 0.664550i \(-0.231377\pi\)
−0.606850 + 0.794816i \(0.707567\pi\)
\(108\) −87586.3 13201.5i −0.722565 0.108909i
\(109\) 123184. 114299.i 0.993093 0.921455i −0.00381851 0.999993i \(-0.501215\pi\)
0.996911 + 0.0785374i \(0.0250250\pi\)
\(110\) −512.872 + 349.670i −0.00404136 + 0.00275535i
\(111\) −50523.3 221357.i −0.389210 1.70524i
\(112\) −29715.2 66149.1i −0.223838 0.498286i
\(113\) −21021.3 + 92100.2i −0.154868 + 0.678523i 0.836560 + 0.547875i \(0.184563\pi\)
−0.991429 + 0.130648i \(0.958294\pi\)
\(114\) −25620.1 65278.9i −0.184637 0.470447i
\(115\) −214.310 2859.77i −0.00151112 0.0201645i
\(116\) 21570.2 + 37360.7i 0.148837 + 0.257793i
\(117\) −11962.4 + 20719.4i −0.0807890 + 0.139931i
\(118\) −57961.3 27912.7i −0.383207 0.184543i
\(119\) 15829.0 + 128040.i 0.102468 + 0.828854i
\(120\) −1386.62 + 667.761i −0.00879032 + 0.00423319i
\(121\) 350.578 4678.14i 0.00217681 0.0290476i
\(122\) −19275.5 + 5945.69i −0.117248 + 0.0361662i
\(123\) 55140.0 17008.5i 0.328628 0.101368i
\(124\) 13682.2 182576.i 0.0799102 1.06633i
\(125\) −3797.00 + 1828.54i −0.0217353 + 0.0104672i
\(126\) 8060.13 + 12525.2i 0.0452289 + 0.0702844i
\(127\) −211172. 101695.i −1.16179 0.559489i −0.249235 0.968443i \(-0.580179\pi\)
−0.912555 + 0.408954i \(0.865894\pi\)
\(128\) 94518.8 163711.i 0.509910 0.883189i
\(129\) 34805.9 + 60285.6i 0.184153 + 0.318962i
\(130\) −53.6478 715.880i −0.000278416 0.00371520i
\(131\) 115297. + 293771.i 0.587000 + 1.49565i 0.847831 + 0.530267i \(0.177908\pi\)
−0.260831 + 0.965385i \(0.583996\pi\)
\(132\) 41752.1 182928.i 0.208566 0.913788i
\(133\) −107364. + 208566.i −0.526297 + 1.02238i
\(134\) −28525.1 124977.i −0.137235 0.601266i
\(135\) 1835.47 1251.40i 0.00866788 0.00590966i
\(136\) −97131.0 + 90124.4i −0.450309 + 0.417826i
\(137\) −301907. 45505.2i −1.37427 0.207138i −0.579957 0.814647i \(-0.696931\pi\)
−0.794313 + 0.607509i \(0.792169\pi\)
\(138\) −120820. 112105.i −0.540060 0.501102i
\(139\) −15842.8 19866.2i −0.0695495 0.0872124i 0.745840 0.666125i \(-0.232048\pi\)
−0.815389 + 0.578913i \(0.803477\pi\)
\(140\) 2164.52 + 916.668i 0.00933344 + 0.00395268i
\(141\) −142467. + 178649.i −0.603487 + 0.756749i
\(142\) 39418.3 5941.36i 0.164050 0.0247266i
\(143\) 158377. + 107980.i 0.647667 + 0.441572i
\(144\) 10384.1 26458.3i 0.0417314 0.106330i
\(145\) −1033.89 318.914i −0.00408372 0.00125966i
\(146\) −11104.3 −0.0431132
\(147\) 78948.9 277060.i 0.301337 1.05750i
\(148\) −356156. −1.33655
\(149\) 214155. + 66058.2i 0.790248 + 0.243759i 0.663500 0.748176i \(-0.269070\pi\)
0.126747 + 0.991935i \(0.459546\pi\)
\(150\) −44241.0 + 112724.i −0.160545 + 0.409062i
\(151\) −68309.4 46572.6i −0.243803 0.166222i 0.435254 0.900308i \(-0.356659\pi\)
−0.679057 + 0.734086i \(0.737611\pi\)
\(152\) −238228. + 35907.2i −0.836343 + 0.126058i
\(153\) −31528.3 + 39535.2i −0.108886 + 0.136539i
\(154\) 104897. 56897.6i 0.356419 0.193327i
\(155\) 2862.98 + 3590.06i 0.00957168 + 0.0120025i
\(156\) 159073. + 147598.i 0.523340 + 0.485588i
\(157\) 337596. + 50884.3i 1.09307 + 0.164754i 0.670743 0.741690i \(-0.265975\pi\)
0.422326 + 0.906444i \(0.361214\pi\)
\(158\) 5721.68 5308.94i 0.0182339 0.0169186i
\(159\) 136687. 93191.9i 0.428781 0.292338i
\(160\) 829.122 + 3632.62i 0.00256046 + 0.0112181i
\(161\) −14662.5 + 551133.i −0.0445803 + 1.67568i
\(162\) 34622.3 151690.i 0.103650 0.454119i
\(163\) −230447. 587169.i −0.679363 1.73099i −0.682384 0.730994i \(-0.739057\pi\)
0.00302045 0.999995i \(-0.499039\pi\)
\(164\) −6764.23 90262.4i −0.0196385 0.262058i
\(165\) 2352.91 + 4075.36i 0.00672814 + 0.0116535i
\(166\) 65359.9 113207.i 0.184095 0.318861i
\(167\) 174825. + 84191.2i 0.485079 + 0.233602i 0.660406 0.750909i \(-0.270384\pi\)
−0.175328 + 0.984510i \(0.556098\pi\)
\(168\) 278201. 100733.i 0.760476 0.275358i
\(169\) 134791. 64911.8i 0.363031 0.174826i
\(170\) 113.390 1513.09i 0.000300922 0.00401552i
\(171\) −87858.4 + 27100.7i −0.229770 + 0.0708746i
\(172\) 104344. 32185.8i 0.268934 0.0829550i
\(173\) 14789.6 197353.i 0.0375699 0.501336i −0.946399 0.322998i \(-0.895309\pi\)
0.983969 0.178337i \(-0.0570718\pi\)
\(174\) −56024.7 + 26980.1i −0.140283 + 0.0675569i
\(175\) 380873. 137909.i 0.940124 0.340406i
\(176\) −205173. 98806.1i −0.499274 0.240437i
\(177\) −243854. + 422368.i −0.585056 + 1.01335i
\(178\) 160952. + 278777.i 0.380756 + 0.659488i
\(179\) −18452.5 246232.i −0.0430451 0.574397i −0.976474 0.215635i \(-0.930818\pi\)
0.933429 0.358762i \(-0.116801\pi\)
\(180\) 336.600 + 857.642i 0.000774341 + 0.00197299i
\(181\) 24026.3 105266.i 0.0545118 0.238832i −0.940331 0.340261i \(-0.889485\pi\)
0.994843 + 0.101430i \(0.0323416\pi\)
\(182\) −3670.43 + 137964.i −0.00821369 + 0.308736i
\(183\) 34028.5 + 149089.i 0.0751131 + 0.329092i
\(184\) −467843. + 318970.i −1.01872 + 0.694552i
\(185\) 6547.91 6075.57i 0.0140661 0.0130514i
\(186\) 260956. + 39332.8i 0.553076 + 0.0833628i
\(187\) 296992. + 275569.i 0.621071 + 0.576270i
\(188\) 223478. + 280233.i 0.461148 + 0.578262i
\(189\) −375406. + 203626.i −0.764446 + 0.414646i
\(190\) 1720.12 2156.96i 0.00345680 0.00433469i
\(191\) 422909. 63743.3i 0.838811 0.126430i 0.284433 0.958696i \(-0.408195\pi\)
0.554377 + 0.832265i \(0.312956\pi\)
\(192\) −76570.6 52204.9i −0.149902 0.102202i
\(193\) −79281.7 + 202006.i −0.153207 + 0.390366i −0.986785 0.162037i \(-0.948194\pi\)
0.833577 + 0.552403i \(0.186289\pi\)
\(194\) −32862.7 10136.8i −0.0626901 0.0193373i
\(195\) −5442.37 −0.0102495
\(196\) −396149. 217445.i −0.736578 0.404305i
\(197\) 858759. 1.57654 0.788271 0.615328i \(-0.210977\pi\)
0.788271 + 0.615328i \(0.210977\pi\)
\(198\) 44695.3 + 13786.7i 0.0810213 + 0.0249917i
\(199\) 163397. 416328.i 0.292490 0.745252i −0.706794 0.707419i \(-0.749859\pi\)
0.999284 0.0378328i \(-0.0120454\pi\)
\(200\) 343733. + 234353.i 0.607641 + 0.414282i
\(201\) −960969. + 144843.i −1.67772 + 0.252876i
\(202\) −162287. + 203501.i −0.279837 + 0.350904i
\(203\) 191537. + 81115.5i 0.326222 + 0.138154i
\(204\) 285966. + 358590.i 0.481104 + 0.603285i
\(205\) 1664.12 + 1544.08i 0.00276567 + 0.00256617i
\(206\) −161964. 24412.1i −0.265919 0.0400809i
\(207\) −158408. + 146981.i −0.256952 + 0.238416i
\(208\) 217605. 148361.i 0.348747 0.237772i
\(209\) 163919. + 718177.i 0.259576 + 1.13728i
\(210\) −1550.74 + 3012.48i −0.00242657 + 0.00471385i
\(211\) 169851. 744167.i 0.262641 1.15071i −0.655733 0.754993i \(-0.727640\pi\)
0.918374 0.395713i \(-0.129503\pi\)
\(212\) −94807.1 241565.i −0.144878 0.369142i
\(213\) −22584.1 301364.i −0.0341078 0.455138i
\(214\) 25641.7 + 44412.7i 0.0382748 + 0.0662938i
\(215\) −1369.30 + 2371.70i −0.00202024 + 0.00349916i
\(216\) −395183. 190310.i −0.576320 0.277541i
\(217\) −477712. 742351.i −0.688679 1.07019i
\(218\) 342322. 164854.i 0.487859 0.234940i
\(219\) −6290.99 + 83947.5i −0.00886358 + 0.118276i
\(220\) 7053.72 2175.78i 0.00982566 0.00303081i
\(221\) −447741. + 138110.i −0.616661 + 0.190215i
\(222\) 38363.7 511928.i 0.0522442 0.697150i
\(223\) 707681. 340801.i 0.952961 0.458922i 0.108238 0.994125i \(-0.465479\pi\)
0.844723 + 0.535203i \(0.179765\pi\)
\(224\) −87887.1 710913.i −0.117032 0.946665i
\(225\) 143045. + 68887.1i 0.188373 + 0.0907155i
\(226\) −106798. + 184979.i −0.139088 + 0.240908i
\(227\) −572318. 991284.i −0.737179 1.27683i −0.953761 0.300567i \(-0.902824\pi\)
0.216582 0.976264i \(-0.430509\pi\)
\(228\) 62320.2 + 831605.i 0.0793947 + 1.05945i
\(229\) 153976. + 392324.i 0.194028 + 0.494374i 0.994468 0.105038i \(-0.0334964\pi\)
−0.800441 + 0.599412i \(0.795401\pi\)
\(230\) 1442.85 6321.56i 0.00179847 0.00787961i
\(231\) −370712. 825244.i −0.457095 1.01754i
\(232\) 47536.8 + 208272.i 0.0579842 + 0.254046i
\(233\) −716601. + 488570.i −0.864744 + 0.589573i −0.912404 0.409291i \(-0.865776\pi\)
0.0476597 + 0.998864i \(0.484824\pi\)
\(234\) −39653.9 + 36793.4i −0.0473420 + 0.0439269i
\(235\) −8889.05 1339.81i −0.0104999 0.00158261i
\(236\) 560808. + 520354.i 0.655442 + 0.608162i
\(237\) −36893.5 46263.0i −0.0426657 0.0535011i
\(238\) −51132.1 + 287188.i −0.0585129 + 0.328643i
\(239\) −424892. + 532798.i −0.481154 + 0.603348i −0.961863 0.273532i \(-0.911808\pi\)
0.480709 + 0.876880i \(0.340379\pi\)
\(240\) 6393.43 963.655i 0.00716483 0.00107992i
\(241\) −1.29315e6 881654.i −1.43419 0.977812i −0.996915 0.0784825i \(-0.974993\pi\)
−0.437271 0.899330i \(-0.644055\pi\)
\(242\) 3875.18 9873.79i 0.00425357 0.0108379i
\(243\) −362203. 111725.i −0.393493 0.121376i
\(244\) 239879. 0.257939
\(245\) 10992.5 2760.10i 0.0116999 0.00293771i
\(246\) 130469. 0.137458
\(247\) −814096. 251115.i −0.849050 0.261897i
\(248\) 331233. 843968.i 0.341983 0.871358i
\(249\) −818801. 558249.i −0.836913 0.570597i
\(250\) −9422.31 + 1420.18i −0.00953470 + 0.00143713i
\(251\) −924669. + 1.15950e6i −0.926407 + 1.16168i 0.0601381 + 0.998190i \(0.480846\pi\)
−0.986545 + 0.163488i \(0.947726\pi\)
\(252\) −47688.5 170584.i −0.0473055 0.169214i
\(253\) 1.07947e6 + 1.35361e6i 1.06025 + 1.32952i
\(254\) −388478. 360455.i −0.377817 0.350563i
\(255\) −11374.6 1714.44i −0.0109543 0.00165109i
\(256\) 186494. 173041.i 0.177855 0.165025i
\(257\) −24349.0 + 16600.8i −0.0229958 + 0.0156782i −0.574763 0.818320i \(-0.694906\pi\)
0.551768 + 0.833998i \(0.313954\pi\)
\(258\) 35023.4 + 153447.i 0.0327573 + 0.143519i
\(259\) −1.37059e6 + 1.03459e6i −1.26957 + 0.958343i
\(260\) −1899.67 + 8323.00i −0.00174279 + 0.00763566i
\(261\) 29785.5 + 75892.3i 0.0270648 + 0.0689599i
\(262\) 53323.4 + 711551.i 0.0479915 + 0.640402i
\(263\) 141510. + 245103.i 0.126153 + 0.218504i 0.922183 0.386754i \(-0.126404\pi\)
−0.796030 + 0.605257i \(0.793070\pi\)
\(264\) 464571. 804660.i 0.410244 0.710563i
\(265\) 5863.81 + 2823.86i 0.00512938 + 0.00247018i
\(266\) −370966. + 379068.i −0.321462 + 0.328483i
\(267\) 2.19871e6 1.05884e6i 1.88751 0.908978i
\(268\) −113921. + 1.52017e6i −0.0968870 + 1.29287i
\(269\) 1.18440e6 365338.i 0.997967 0.307832i 0.247606 0.968861i \(-0.420356\pi\)
0.750361 + 0.661029i \(0.229880\pi\)
\(270\) 4799.65 1480.50i 0.00400682 0.00123594i
\(271\) 110749. 1.47785e6i 0.0916048 1.22238i −0.742145 0.670239i \(-0.766192\pi\)
0.833750 0.552142i \(-0.186189\pi\)
\(272\) 501531. 241524.i 0.411032 0.197942i
\(273\) 1.04091e6 + 105909.i 0.845293 + 0.0860059i
\(274\) −621964. 299522.i −0.500483 0.241020i
\(275\) 636024. 1.10163e6i 0.507156 0.878420i
\(276\) 979999. + 1.69741e6i 0.774378 + 1.34126i
\(277\) 178078. + 2.37628e6i 0.139447 + 1.86080i 0.428576 + 0.903506i \(0.359015\pi\)
−0.289129 + 0.957290i \(0.593365\pi\)
\(278\) −20989.6 53480.7i −0.0162889 0.0415035i
\(279\) 76993.5 337330.i 0.0592166 0.259445i
\(280\) 8904.37 + 7496.95i 0.00678748 + 0.00571465i
\(281\) −289111. 1.26668e6i −0.218423 0.956975i −0.958643 0.284610i \(-0.908136\pi\)
0.740220 0.672365i \(-0.234721\pi\)
\(282\) −426870. + 291035.i −0.319649 + 0.217933i
\(283\) 1.47501e6 1.36861e6i 1.09479 1.01581i 0.0949929 0.995478i \(-0.469717\pi\)
0.999793 0.0203351i \(-0.00647331\pi\)
\(284\) −468759. 70654.0i −0.344868 0.0519806i
\(285\) −15331.9 14225.9i −0.0111811 0.0103745i
\(286\) 270221. + 338847.i 0.195346 + 0.244956i
\(287\) −288233. 327706.i −0.206557 0.234844i
\(288\) 175054. 219511.i 0.124363 0.155946i
\(289\) 424712. 64015.0i 0.299123 0.0450855i
\(290\) −2021.26 1378.07i −0.00141133 0.000962225i
\(291\) −95250.9 + 242695.i −0.0659382 + 0.168008i
\(292\) 126185. + 38922.9i 0.0866064 + 0.0267145i
\(293\) 917722. 0.624514 0.312257 0.949998i \(-0.398915\pi\)
0.312257 + 0.949998i \(0.398915\pi\)
\(294\) 355220. 545991.i 0.239679 0.368398i
\(295\) −19187.0 −0.0128367
\(296\) −1.68530e6 519847.i −1.11802 0.344863i
\(297\) −489975. + 1.24844e6i −0.322317 + 0.821250i
\(298\) 418673. + 285446.i 0.273108 + 0.186202i
\(299\) −1.97996e6 + 298431.i −1.28079 + 0.193048i
\(300\) 897857. 1.12588e6i 0.575975 0.722250i
\(301\) 308048. 426967.i 0.195976 0.271630i
\(302\) −116549. 146148.i −0.0735345 0.0922093i
\(303\) 1.44651e6 + 1.34216e6i 0.905135 + 0.839843i
\(304\) 1.00082e6 + 150850.i 0.621118 + 0.0936185i
\(305\) −4410.16 + 4092.03i −0.00271459 + 0.00251877i
\(306\) −94467.2 + 64406.6i −0.0576736 + 0.0393212i
\(307\) 693007. + 3.03626e6i 0.419654 + 1.83863i 0.534401 + 0.845231i \(0.320537\pi\)
−0.114747 + 0.993395i \(0.536606\pi\)
\(308\) −1.39144e6 + 278876.i −0.835773 + 0.167507i
\(309\) −276311. + 1.21060e6i −0.164628 + 0.721280i
\(310\) 3793.07 + 9664.58i 0.00224175 + 0.00571188i
\(311\) −196636. 2.62393e6i −0.115282 1.53833i −0.692304 0.721606i \(-0.743404\pi\)
0.577022 0.816729i \(-0.304215\pi\)
\(312\) 537285. + 930605.i 0.312477 + 0.541226i
\(313\) 632758. 1.09597e6i 0.365070 0.632321i −0.623717 0.781650i \(-0.714378\pi\)
0.988787 + 0.149330i \(0.0477116\pi\)
\(314\) 695486. + 334929.i 0.398075 + 0.191703i
\(315\) 3786.69 + 2322.66i 0.00215022 + 0.00131889i
\(316\) −83627.6 + 40272.9i −0.0471120 + 0.0226880i
\(317\) 20967.3 279789.i 0.0117191 0.156380i −0.988274 0.152690i \(-0.951206\pi\)
0.999993 0.00369009i \(-0.00117459\pi\)
\(318\) 357430. 110252.i 0.198209 0.0611393i
\(319\) 624180. 192534.i 0.343426 0.105933i
\(320\) 272.457 3635.69i 0.000148739 0.00198478i
\(321\) 350282. 168687.i 0.189739 0.0913733i
\(322\) −398980. + 1.18099e6i −0.214443 + 0.634755i
\(323\) −1.62236e6 781285.i −0.865246 0.416681i
\(324\) −925137. + 1.60238e6i −0.489602 + 0.848016i
\(325\) 735574. + 1.27405e6i 0.386294 + 0.669081i
\(326\) −106579. 1.42220e6i −0.0555429 0.741168i
\(327\) −1.05234e6 2.68131e6i −0.544235 1.38669i
\(328\) 99739.7 436988.i 0.0511898 0.224277i
\(329\) 1.67405e6 + 429235.i 0.852668 + 0.218628i
\(330\) 2367.61 + 10373.2i 0.00119681 + 0.00524357i
\(331\) 719818. 490764.i 0.361121 0.246208i −0.369144 0.929372i \(-0.620349\pi\)
0.730265 + 0.683164i \(0.239397\pi\)
\(332\) −1.13953e6 + 1.05733e6i −0.567390 + 0.526461i
\(333\) −665556. 100316.i −0.328908 0.0495748i
\(334\) 321612. + 298412.i 0.157749 + 0.146370i
\(335\) −23837.7 29891.5i −0.0116052 0.0145524i
\(336\) −1.24157e6 + 59892.1i −0.599959 + 0.0289415i
\(337\) −1.37509e6 + 1.72431e6i −0.659564 + 0.827067i −0.993296 0.115601i \(-0.963121\pi\)
0.333732 + 0.942668i \(0.391692\pi\)
\(338\) 334485. 50415.5i 0.159252 0.0240034i
\(339\) 1.33792e6 + 912177.i 0.632310 + 0.431102i
\(340\) −6592.20 + 16796.6i −0.00309267 + 0.00787998i
\(341\) −2.64902e6 817116.i −1.23367 0.380538i
\(342\) −207885. −0.0961078
\(343\) −2.15615e6 + 313982.i −0.989563 + 0.144102i
\(344\) 540725. 0.246366
\(345\) −46972.9 14489.2i −0.0212471 0.00655386i
\(346\) 163479. 416538.i 0.0734129 0.187053i
\(347\) −1.59522e6 1.08760e6i −0.711208 0.484893i 0.152874 0.988246i \(-0.451147\pi\)
−0.864081 + 0.503353i \(0.832100\pi\)
\(348\) 731211. 110212.i 0.323664 0.0487845i
\(349\) −806441. + 1.01125e6i −0.354413 + 0.444419i −0.926795 0.375567i \(-0.877448\pi\)
0.572383 + 0.819987i \(0.306019\pi\)
\(350\) 914811. 44129.7i 0.399173 0.0192558i
\(351\) −967070. 1.21267e6i −0.418977 0.525381i
\(352\) −1.64898e6 1.53003e6i −0.709348 0.658179i
\(353\) −227444. 34281.7i −0.0971489 0.0146428i 0.100288 0.994958i \(-0.468024\pi\)
−0.197437 + 0.980316i \(0.563262\pi\)
\(354\) −808349. + 750039.i −0.342840 + 0.318109i
\(355\) 9823.37 6697.46i 0.00413704 0.00282058i
\(356\) −851821. 3.73207e6i −0.356224 1.56072i
\(357\) 2.14214e6 + 549256.i 0.889565 + 0.228089i
\(358\) 124233. 544299.i 0.0512305 0.224455i
\(359\) −483399. 1.23168e6i −0.197957 0.504385i 0.797083 0.603870i \(-0.206376\pi\)
−0.995039 + 0.0994855i \(0.968280\pi\)
\(360\) 340.946 + 4549.60i 0.000138653 + 0.00185019i
\(361\) −398972. 691041.i −0.161129 0.279084i
\(362\) 122065. 211422.i 0.0489574 0.0847967i
\(363\) −72449.4 34889.8i −0.0288581 0.0138973i
\(364\) 525300. 1.55490e6i 0.207804 0.615103i
\(365\) −2983.87 + 1436.96i −0.00117233 + 0.000564562i
\(366\) −25838.8 + 344795.i −0.0100825 + 0.134542i
\(367\) −929294. + 286649.i −0.360154 + 0.111093i −0.469551 0.882905i \(-0.655584\pi\)
0.109397 + 0.993998i \(0.465108\pi\)
\(368\) 2.27312e6 701165.i 0.874990 0.269899i
\(369\) 12783.2 170580.i 0.00488736 0.0652173i
\(370\) 18196.2 8762.84i 0.00690999 0.00332767i
\(371\) −1.06656e6 654205.i −0.402302 0.246762i
\(372\) −2.82752e6 1.36166e6i −1.05937 0.510167i
\(373\) 1.18360e6 2.05005e6i 0.440487 0.762945i −0.557239 0.830352i \(-0.688139\pi\)
0.997726 + 0.0674070i \(0.0214726\pi\)
\(374\) 458020. + 793314.i 0.169319 + 0.293269i
\(375\) 5398.37 + 72036.2i 0.00198237 + 0.0264529i
\(376\) 648453. + 1.65223e6i 0.236542 + 0.602700i
\(377\) −168101. + 736499.i −0.0609140 + 0.266882i
\(378\) −946796. + 189759.i −0.340821 + 0.0683082i
\(379\) 451764. + 1.97931e6i 0.161552 + 0.707807i 0.989202 + 0.146561i \(0.0468205\pi\)
−0.827649 + 0.561246i \(0.810322\pi\)
\(380\) −27107.3 + 18481.4i −0.00963001 + 0.00656563i
\(381\) −2.94508e6 + 2.73264e6i −1.03941 + 0.964428i
\(382\) 956206. + 144125.i 0.335269 + 0.0505336i
\(383\) 3.90463e6 + 3.62297e6i 1.36014 + 1.26202i 0.933956 + 0.357387i \(0.116332\pi\)
0.426182 + 0.904637i \(0.359858\pi\)
\(384\) −2.02029e6 2.53336e6i −0.699174 0.876736i
\(385\) 20824.3 28863.3i 0.00716009 0.00992418i
\(386\) −305920. + 383611.i −0.104506 + 0.131046i
\(387\) 204055. 30756.3i 0.0692579 0.0104389i
\(388\) 337906. + 230380.i 0.113951 + 0.0776902i
\(389\) 34334.4 87482.7i 0.0115042 0.0293122i −0.925006 0.379952i \(-0.875941\pi\)
0.936510 + 0.350640i \(0.114036\pi\)
\(390\) −11758.6 3627.05i −0.00391466 0.00120751i
\(391\) −4.23213e6 −1.39996
\(392\) −1.55717e6 1.60715e6i −0.511823 0.528253i
\(393\) 5.40946e6 1.76674
\(394\) 1.85541e6 + 572317.i 0.602141 + 0.185736i
\(395\) 850.483 2167.00i 0.000274267 0.000698820i
\(396\) −459573. 313332.i −0.147271 0.100408i
\(397\) 364432. 54929.2i 0.116049 0.0174915i −0.0907612 0.995873i \(-0.528930\pi\)
0.206810 + 0.978381i \(0.433692\pi\)
\(398\) 630490. 790610.i 0.199513 0.250181i
\(399\) 2.65555e6 + 3.01922e6i 0.835068 + 0.949429i
\(400\) −1.08971e6 1.36645e6i −0.340534 0.427016i
\(401\) 2.89640e6 + 2.68747e6i 0.899494 + 0.834608i 0.986862 0.161568i \(-0.0516550\pi\)
−0.0873676 + 0.996176i \(0.527845\pi\)
\(402\) −2.17277e6 327492.i −0.670577 0.101073i
\(403\) 2.35023e6 2.18069e6i 0.720854 0.668855i
\(404\) 2.55747e6 1.74365e6i 0.779573 0.531504i
\(405\) −10326.1 45241.4i −0.00312822 0.0137056i
\(406\) 359770. + 302905.i 0.108320 + 0.0911993i
\(407\) −1.19998e6 + 5.25744e6i −0.359076 + 1.57322i
\(408\) 829769. + 2.11422e6i 0.246778 + 0.628781i
\(409\) −309709. 4.13277e6i −0.0915472 1.22161i −0.834019 0.551735i \(-0.813966\pi\)
0.742472 0.669877i \(-0.233653\pi\)
\(410\) 2566.40 + 4445.14i 0.000753989 + 0.00130595i
\(411\) −2.61672e6 + 4.53229e6i −0.764104 + 1.32347i
\(412\) 1.75492e6 + 845124.i 0.509347 + 0.245289i
\(413\) 3.66972e6 + 373382.i 1.05866 + 0.107716i
\(414\) −440206. + 211992.i −0.126228 + 0.0607882i
\(415\) 2913.50 38878.0i 0.000830415 0.0110811i
\(416\) 2.48598e6 766824.i 0.704312 0.217251i
\(417\) −416199. + 128381.i −0.117209 + 0.0361542i
\(418\) −124468. + 1.66091e6i −0.0348432 + 0.464950i
\(419\) −2.39363e6 + 1.15271e6i −0.666073 + 0.320764i −0.736190 0.676775i \(-0.763377\pi\)
0.0701167 + 0.997539i \(0.477663\pi\)
\(420\) 28181.3 28796.8i 0.00779540 0.00796565i
\(421\) 1.06028e6 + 510604.i 0.291551 + 0.140404i 0.573942 0.818896i \(-0.305413\pi\)
−0.282391 + 0.959299i \(0.591128\pi\)
\(422\) 862923. 1.49463e6i 0.235880 0.408556i
\(423\) 338687. + 586623.i 0.0920338 + 0.159407i
\(424\) −96031.1 1.28145e6i −0.0259416 0.346167i
\(425\) 1.13600e6 + 2.89449e6i 0.305075 + 0.777319i
\(426\) 152049. 666169.i 0.0405937 0.177853i
\(427\) 923122. 696822.i 0.245013 0.184949i
\(428\) −135706. 594567.i −0.0358088 0.156889i
\(429\) 2.71474e6 1.85088e6i 0.712171 0.485550i
\(430\) −4539.09 + 4211.66i −0.00118385 + 0.00109845i
\(431\) 783917. + 118156.i 0.203272 + 0.0306383i 0.249889 0.968275i \(-0.419606\pi\)
−0.0466171 + 0.998913i \(0.514844\pi\)
\(432\) 1.35079e6 + 1.25335e6i 0.348240 + 0.323119i
\(433\) −2.37795e6 2.98185e6i −0.609512 0.764304i 0.377314 0.926085i \(-0.376848\pi\)
−0.986827 + 0.161781i \(0.948276\pi\)
\(434\) −537391. 1.92227e6i −0.136951 0.489880i
\(435\) −11563.2 + 14499.8i −0.00292991 + 0.00367399i
\(436\) −4.46785e6 + 673420.i −1.12560 + 0.169656i
\(437\) −6.35789e6 4.33473e6i −1.59261 1.08582i
\(438\) −69538.7 + 177182.i −0.0173197 + 0.0441299i
\(439\) 2.22289e6 + 685670.i 0.550499 + 0.169806i 0.557512 0.830169i \(-0.311756\pi\)
−0.00701292 + 0.999975i \(0.502232\pi\)
\(440\) 36553.5 0.00900113
\(441\) −679046. 517924.i −0.166266 0.126815i
\(442\) −1.05942e6 −0.257936
\(443\) 2.33781e6 + 721119.i 0.565978 + 0.174581i 0.564522 0.825418i \(-0.309060\pi\)
0.00145596 + 0.999999i \(0.499537\pi\)
\(444\) −2.23036e6 + 5.68286e6i −0.536929 + 1.36807i
\(445\) 79325.1 + 54082.9i 0.0189894 + 0.0129467i
\(446\) 1.75612e6 264692.i 0.418039 0.0630092i
\(447\) 2.39514e6 3.00341e6i 0.566972 0.710960i
\(448\) −122862. + 690063.i −0.0289215 + 0.162440i
\(449\) −3.91277e6 4.90646e6i −0.915944 1.14856i −0.988504 0.151193i \(-0.951688\pi\)
0.0725605 0.997364i \(-0.476883\pi\)
\(450\) 263150. + 244167.i 0.0612593 + 0.0568403i
\(451\) −1.35521e6 204265.i −0.313736 0.0472882i
\(452\) 1.86199e6 1.72768e6i 0.428679 0.397756i
\(453\) −1.17089e6 + 798300.i −0.268084 + 0.182777i
\(454\) −575894. 2.52316e6i −0.131130 0.574519i
\(455\) 16867.0 + 37547.6i 0.00381951 + 0.00850264i
\(456\) −918921. + 4.02606e6i −0.206950 + 0.906709i
\(457\) 474944. + 1.21014e6i 0.106378 + 0.271047i 0.974145 0.225925i \(-0.0725404\pi\)
−0.867767 + 0.496972i \(0.834445\pi\)
\(458\) 71212.0 + 950258.i 0.0158632 + 0.211679i
\(459\) −1.63917e6 2.83912e6i −0.363154 0.629002i
\(460\) −38554.3 + 66778.0i −0.00849529 + 0.0147143i
\(461\) 4.61235e6 + 2.22119e6i 1.01081 + 0.486781i 0.864593 0.502472i \(-0.167576\pi\)
0.146217 + 0.989253i \(0.453290\pi\)
\(462\) −250967. 2.03006e6i −0.0547031 0.442490i
\(463\) 7.05138e6 3.39577e6i 1.52870 0.736182i 0.534645 0.845077i \(-0.320445\pi\)
0.994053 + 0.108895i \(0.0347311\pi\)
\(464\) 67068.6 894968.i 0.0144619 0.192980i
\(465\) 75212.1 23199.9i 0.0161308 0.00497569i
\(466\) −1.87387e6 + 578013.i −0.399738 + 0.123303i
\(467\) −510102. + 6.80684e6i −0.108234 + 1.44429i 0.633578 + 0.773679i \(0.281585\pi\)
−0.741813 + 0.670607i \(0.766034\pi\)
\(468\) 579578. 279110.i 0.122320 0.0589062i
\(469\) 3.97752e6 + 6.18096e6i 0.834988 + 1.29755i
\(470\) −18312.5 8818.83i −0.00382387 0.00184148i
\(471\) 2.92604e6 5.06805e6i 0.607755 1.05266i
\(472\) 1.89419e6 + 3.28084e6i 0.391353 + 0.677844i
\(473\) −123555. 1.64872e6i −0.0253926 0.338840i
\(474\) −48879.1 124542.i −0.00999257 0.0254606i
\(475\) −1.25806e6 + 5.51190e6i −0.255839 + 1.12090i
\(476\) 1.58769e6 3.08425e6i 0.321181 0.623926i
\(477\) −109128. 478120.i −0.0219604 0.0962146i
\(478\) −1.27309e6 + 867978.i −0.254853 + 0.173756i
\(479\) −2.14830e6 + 1.99333e6i −0.427815 + 0.396954i −0.864478 0.502671i \(-0.832351\pi\)
0.436663 + 0.899625i \(0.356160\pi\)
\(480\) 63154.6 + 9519.03i 0.0125113 + 0.00188577i
\(481\) −4.57182e6 4.24203e6i −0.901004 0.836009i
\(482\) −2.20636e6 2.76669e6i −0.432572 0.542428i
\(483\) 8.70211e6 + 3.68532e6i 1.69729 + 0.718799i
\(484\) −78645.5 + 98618.3i −0.0152602 + 0.0191357i
\(485\) −10142.4 + 1528.72i −0.00195788 + 0.000295102i
\(486\) −708106. 482779.i −0.135990 0.0927166i
\(487\) 2.25203e6 5.73808e6i 0.430281 1.09634i −0.537214 0.843446i \(-0.680523\pi\)
0.967495 0.252892i \(-0.0813816\pi\)
\(488\) 1.13509e6 + 350129.i 0.215765 + 0.0665546i
\(489\) −1.08121e7 −2.04473
\(490\) 25589.5 + 1362.55i 0.00481473 + 0.000256366i
\(491\) −7.46421e6 −1.39727 −0.698634 0.715479i \(-0.746209\pi\)
−0.698634 + 0.715479i \(0.746209\pi\)
\(492\) −1.48259e6 457320.i −0.276127 0.0851740i
\(493\) −583340. + 1.48633e6i −0.108095 + 0.275421i
\(494\) −1.59155e6 1.08510e6i −0.293430 0.200057i
\(495\) 13794.3 2079.15i 0.00253038 0.000381393i
\(496\) −2.37481e6 + 2.97792e6i −0.433436 + 0.543511i
\(497\) −2.00916e6 + 1.08980e6i −0.364857 + 0.197904i
\(498\) −1.39703e6 1.75182e6i −0.252425 0.316531i
\(499\) −5.65217e6 5.24445e6i −1.01616 0.942863i −0.0177888 0.999842i \(-0.505663\pi\)
−0.998375 + 0.0569792i \(0.981853\pi\)
\(500\) 112049. + 16888.7i 0.0200439 + 0.00302114i
\(501\) 2.43817e6 2.26229e6i 0.433980 0.402675i
\(502\) −2.77055e6 + 1.88893e6i −0.490690 + 0.334547i
\(503\) 772730. + 3.38555e6i 0.136178 + 0.596636i 0.996254 + 0.0864703i \(0.0275588\pi\)
−0.860076 + 0.510166i \(0.829584\pi\)
\(504\) 23326.5 876795.i 0.00409047 0.153752i
\(505\) −17274.4 + 75684.1i −0.00301422 + 0.0132062i
\(506\) 1.43016e6 + 3.64398e6i 0.248318 + 0.632703i
\(507\) −191638. 2.55723e6i −0.0331102 0.441825i
\(508\) 3.15103e6 + 5.45774e6i 0.541743 + 0.938326i
\(509\) −1.45905e6 + 2.52716e6i −0.249619 + 0.432352i −0.963420 0.267996i \(-0.913639\pi\)
0.713801 + 0.700348i \(0.246972\pi\)
\(510\) −23432.9 11284.7i −0.00398934 0.00192116i
\(511\) 598662. 216767.i 0.101421 0.0367232i
\(512\) −4.93189e6 + 2.37507e6i −0.831454 + 0.400407i
\(513\) 445448. 5.94409e6i 0.0747315 0.997222i
\(514\) −63671.2 + 19640.0i −0.0106300 + 0.00327893i
\(515\) −46680.8 + 14399.1i −0.00775569 + 0.00239231i
\(516\) 139873. 1.86647e6i 0.0231265 0.308601i
\(517\) 4.88964e6 2.35473e6i 0.804546 0.387449i
\(518\) −3.65075e6 + 1.32189e6i −0.597803 + 0.216456i
\(519\) −3.05637e6 1.47187e6i −0.498066 0.239856i
\(520\) −21137.4 + 36611.1i −0.00342802 + 0.00593751i
\(521\) 5.23253e6 + 9.06302e6i 0.844535 + 1.46278i 0.886024 + 0.463639i \(0.153457\pi\)
−0.0414889 + 0.999139i \(0.513210\pi\)
\(522\) 13775.5 + 183821.i 0.00221274 + 0.0295270i
\(523\) −2.52368e6 6.43023e6i −0.403441 1.02795i −0.977836 0.209372i \(-0.932858\pi\)
0.574395 0.818578i \(-0.305237\pi\)
\(524\) 1.88818e6 8.27267e6i 0.300411 1.31619i
\(525\) 184657. 6.94087e6i 0.0292393 1.09905i
\(526\) 142394. + 623870.i 0.0224403 + 0.0983173i
\(527\) 5.59893e6 3.81729e6i 0.878170 0.598726i
\(528\) −2.86141e6 + 2.65501e6i −0.446680 + 0.414458i
\(529\) −1.15190e7 1.73621e6i −1.78968 0.269751i
\(530\) 10787.2 + 10009.1i 0.00166809 + 0.00154776i
\(531\) 901429. + 1.13036e6i 0.138738 + 0.173972i
\(532\) 5.54421e6 3.00726e6i 0.849299 0.460672i
\(533\) 988250. 1.23923e6i 0.150678 0.188944i
\(534\) 5.45612e6 822378.i 0.828001 0.124801i
\(535\) 12637.5 + 8616.10i 0.00190887 + 0.00130145i
\(536\) −2.75791e6 + 7.02703e6i −0.414637 + 1.05648i
\(537\) −4.04446e6 1.24755e6i −0.605236 0.186691i
\(538\) 2.80244e6 0.417428
\(539\) −4.54456e6 + 5.11518e6i −0.673783 + 0.758384i
\(540\) −59730.6 −0.00881480
\(541\) −3.30013e6 1.01795e6i −0.484772 0.149532i 0.0427293 0.999087i \(-0.486395\pi\)
−0.527501 + 0.849554i \(0.676871\pi\)
\(542\) 1.22419e6 3.11918e6i 0.178999 0.456081i
\(543\) −1.52917e6 1.04257e6i −0.222565 0.151742i
\(544\) 5.43727e6 819536.i 0.787741 0.118733i
\(545\) 70653.4 88596.6i 0.0101892 0.0127769i
\(546\) 2.17838e6 + 922537.i 0.312717 + 0.132435i
\(547\) −7.66981e6 9.61764e6i −1.09601 1.37436i −0.920895 0.389811i \(-0.872540\pi\)
−0.175120 0.984547i \(-0.556031\pi\)
\(548\) 6.01785e6 + 5.58375e6i 0.856032 + 0.794282i
\(549\) 448266. + 67565.3i 0.0634754 + 0.00956737i
\(550\) 2.10835e6 1.95626e6i 0.297191 0.275753i
\(551\) −2.39871e6 + 1.63541e6i −0.336588 + 0.229482i
\(552\) 2.15974e6 + 9.46243e6i 0.301685 + 1.32177i
\(553\) −204834. + 397911.i −0.0284833 + 0.0553316i
\(554\) −1.19892e6 + 5.25280e6i −0.165964 + 0.727137i
\(555\) −55937.3 142526.i −0.00770849 0.0196409i
\(556\) 51056.7 + 681304.i 0.00700432 + 0.0934661i
\(557\) −4.93975e6 8.55589e6i −0.674632 1.16850i −0.976576 0.215171i \(-0.930969\pi\)
0.301945 0.953325i \(-0.402364\pi\)
\(558\) 391162. 677513.i 0.0531829 0.0921154i
\(559\) 1.72277e6 + 829641.i 0.233183 + 0.112295i
\(560\) −26462.9 41122.6i −0.00356588 0.00554128i
\(561\) 6.25685e6 3.01314e6i 0.839361 0.404215i
\(562\) 219530. 2.92942e6i 0.0293192 0.391238i
\(563\) 1.23961e7 3.82368e6i 1.64821 0.508405i 0.674901 0.737908i \(-0.264186\pi\)
0.973308 + 0.229503i \(0.0737100\pi\)
\(564\) 5.87091e6 1.81094e6i 0.777155 0.239721i
\(565\) −4760.65 + 63526.5i −0.000627401 + 0.00837209i
\(566\) 4.09897e6 1.97396e6i 0.537816 0.258998i
\(567\) 1.09456e6 + 8.85385e6i 0.142983 + 1.15658i
\(568\) −2.11500e6 1.01853e6i −0.275068 0.132466i
\(569\) −5.63446e6 + 9.75916e6i −0.729577 + 1.26366i 0.227485 + 0.973782i \(0.426950\pi\)
−0.957062 + 0.289883i \(0.906384\pi\)
\(570\) −23644.8 40953.9i −0.00304823 0.00527969i
\(571\) 908683. + 1.21255e7i 0.116633 + 1.55636i 0.681895 + 0.731450i \(0.261156\pi\)
−0.565262 + 0.824911i \(0.691225\pi\)
\(572\) −1.88295e6 4.79769e6i −0.240630 0.613115i
\(573\) 1.63129e6 7.14716e6i 0.207561 0.909384i
\(574\) −404349. 900123.i −0.0512243 0.114031i
\(575\) 2.95680e6 + 1.29546e7i 0.372952 + 1.63401i
\(576\) −226988. + 154758.i −0.0285067 + 0.0194356i
\(577\) −4.51116e6 + 4.18575e6i −0.564090 + 0.523399i −0.909857 0.414921i \(-0.863809\pi\)
0.345767 + 0.938320i \(0.387619\pi\)
\(578\) 960281. + 144739.i 0.119558 + 0.0180205i
\(579\) 2.72675e6 + 2.53005e6i 0.338025 + 0.313641i
\(580\) 18138.3 + 22744.7i 0.00223886 + 0.00280744i
\(581\) −1.31381e6 + 7.37914e6i −0.161470 + 0.906912i
\(582\) −367540. + 460880.i −0.0449777 + 0.0564002i
\(583\) −3.88531e6 + 585616.i −0.473429 + 0.0713579i
\(584\) 540285. + 368360.i 0.0655527 + 0.0446931i
\(585\) −5894.25 + 15018.3i −0.000712096 + 0.00181439i
\(586\) 1.98280e6 + 611613.i 0.238526 + 0.0735754i
\(587\) 3.14144e6 0.376299 0.188149 0.982140i \(-0.439751\pi\)
0.188149 + 0.982140i \(0.439751\pi\)
\(588\) −5.95037e6 + 4.95929e6i −0.709743 + 0.591529i
\(589\) 1.23211e7 1.46339
\(590\) −41454.8 12787.1i −0.00490281 0.00151232i
\(591\) 5.37781e6 1.37024e7i 0.633339 1.61372i
\(592\) 6.12187e6 + 4.17382e6i 0.717927 + 0.489474i
\(593\) 8.04457e6 1.21252e6i 0.939434 0.141597i 0.338564 0.940944i \(-0.390059\pi\)
0.600870 + 0.799347i \(0.294821\pi\)
\(594\) −1.89064e6 + 2.37079e6i −0.219858 + 0.275694i
\(595\) 23423.8 + 83787.9i 0.00271247 + 0.00970262i
\(596\) −3.75707e6 4.71122e6i −0.433245 0.543273i
\(597\) −5.61973e6 5.21435e6i −0.645327 0.598776i
\(598\) −4.47673e6 674758.i −0.511927 0.0771605i
\(599\) −6.87360e6 + 6.37777e6i −0.782739 + 0.726276i −0.966492 0.256697i \(-0.917366\pi\)
0.183753 + 0.982972i \(0.441175\pi\)
\(600\) 5.89193e6 4.01705e6i 0.668158 0.455543i
\(601\) −89284.1 391179.i −0.0100830 0.0441763i 0.969636 0.244552i \(-0.0786409\pi\)
−0.979719 + 0.200376i \(0.935784\pi\)
\(602\) 950109. 717194.i 0.106852 0.0806576i
\(603\) −641062. + 2.80868e6i −0.0717971 + 0.314564i
\(604\) 812136. + 2.06929e6i 0.0905808 + 0.230796i
\(605\) −236.411 3154.68i −2.62590e−5 0.000350403i
\(606\) 2.23079e6 + 3.86385e6i 0.246762 + 0.427404i
\(607\) −1.73818e6 + 3.01061e6i −0.191480 + 0.331653i −0.945741 0.324922i \(-0.894662\pi\)
0.754261 + 0.656575i \(0.227995\pi\)
\(608\) 9.00776e6 + 4.33791e6i 0.988230 + 0.475906i
\(609\) 2.49375e6 2.54822e6i 0.272465 0.278415i
\(610\) −12255.6 + 5901.97i −0.00133355 + 0.000642203i
\(611\) −469047. + 6.25899e6i −0.0508292 + 0.678268i
\(612\) 1.29924e6 400763.i 0.140221 0.0432523i
\(613\) −4.59490e6 + 1.41734e6i −0.493884 + 0.152343i −0.531685 0.846942i \(-0.678441\pi\)
0.0378009 + 0.999285i \(0.487965\pi\)
\(614\) −526219. + 7.02190e6i −0.0563307 + 0.751682i
\(615\) 35058.7 16883.4i 0.00373773 0.00180000i
\(616\) −6.99125e6 711337.i −0.742340 0.0755307i
\(617\) 1.16203e7 + 5.59607e6i 1.22887 + 0.591793i 0.931769 0.363053i \(-0.118265\pi\)
0.297102 + 0.954846i \(0.403980\pi\)
\(618\) −1.40379e6 + 2.43143e6i −0.147853 + 0.256089i
\(619\) 5.05779e6 + 8.76035e6i 0.530559 + 0.918956i 0.999364 + 0.0356540i \(0.0113514\pi\)
−0.468805 + 0.883302i \(0.655315\pi\)
\(620\) −9226.54 123120.i −0.000963962 0.0128632i
\(621\) −5.11826e6 1.30411e7i −0.532590 1.35702i
\(622\) 1.32386e6 5.80022e6i 0.137204 0.601130i
\(623\) −1.41193e7 1.18876e7i −1.45745 1.22709i
\(624\) −1.00455e6 4.40121e6i −0.103278 0.452491i
\(625\) 8.06522e6 5.49877e6i 0.825878 0.563074i
\(626\) 2.09752e6 1.94622e6i 0.213929 0.198497i
\(627\) 1.24858e7 + 1.88193e6i 1.26838 + 0.191177i
\(628\) −6.72922e6 6.24380e6i −0.680872 0.631757i
\(629\) −8.21880e6 1.03060e7i −0.828289 1.03864i
\(630\) 6633.47 + 7541.90i 0.000665870 + 0.000757058i
\(631\) 9.84528e6 1.23456e7i 0.984361 1.23435i 0.0122269 0.999925i \(-0.496108\pi\)
0.972134 0.234425i \(-0.0753206\pi\)
\(632\) −454502. + 68505.2i −0.0452630 + 0.00682230i
\(633\) −1.08103e7 7.37037e6i −1.07233 0.731105i
\(634\) 231765. 590529.i 0.0228995 0.0583469i
\(635\) −151034. 46587.7i −0.0148641 0.00458498i
\(636\) −4.44814e6 −0.436049
\(637\) −2.49530e6 7.50962e6i −0.243655 0.733279i
\(638\) 1.47690e6 0.143648
\(639\) −856078. 264065.i −0.0829395 0.0255834i
\(640\) 46572.5 118665.i 0.00449448 0.0114517i
\(641\) 3.73771e6 + 2.54832e6i 0.359302 + 0.244968i 0.729494 0.683987i \(-0.239756\pi\)
−0.370192 + 0.928955i \(0.620708\pi\)
\(642\) 869230. 131015.i 0.0832333 0.0125454i
\(643\) −1.03000e7 + 1.29158e7i −0.982452 + 1.23196i −0.00973741 + 0.999953i \(0.503100\pi\)
−0.972715 + 0.232004i \(0.925472\pi\)
\(644\) 8.67344e6 1.20217e7i 0.824094 1.14223i
\(645\) 29268.1 + 36701.1i 0.00277010 + 0.00347360i
\(646\) −2.98452e6 2.76923e6i −0.281380 0.261083i
\(647\) 776684. + 117066.i 0.0729430 + 0.0109944i 0.185412 0.982661i \(-0.440638\pi\)
−0.112469 + 0.993655i \(0.535876\pi\)
\(648\) −6.71653e6 + 6.23203e6i −0.628358 + 0.583031i
\(649\) 9.57077e6 6.52524e6i 0.891939 0.608114i
\(650\) 740170. + 3.24290e6i 0.0687144 + 0.301058i
\(651\) −1.48366e7 + 2.97358e6i −1.37209 + 0.274997i
\(652\) −3.77397e6 + 1.65349e7i −0.347680 + 1.52329i
\(653\) 3.80504e6 + 9.69508e6i 0.349202 + 0.889751i 0.992288 + 0.123957i \(0.0395585\pi\)
−0.643086 + 0.765794i \(0.722346\pi\)
\(654\) −486695. 6.49449e6i −0.0444951 0.593746i
\(655\) 106407. + 184302.i 0.00969097 + 0.0167853i
\(656\) −941524. + 1.63077e6i −0.0854224 + 0.147956i
\(657\) 224841. + 108278.i 0.0203218 + 0.00978646i
\(658\) 3.33084e6 + 2.04306e6i 0.299909 + 0.183957i
\(659\) −1.52246e6 + 733176.i −0.136562 + 0.0657650i −0.500917 0.865495i \(-0.667004\pi\)
0.364355 + 0.931260i \(0.381290\pi\)
\(660\) 9455.53 126175.i 0.000844940 0.0112749i
\(661\) 9.84898e6 3.03801e6i 0.876774 0.270449i 0.176481 0.984304i \(-0.443529\pi\)
0.700293 + 0.713855i \(0.253052\pi\)
\(662\) 1.88228e6 580608.i 0.166932 0.0514918i
\(663\) −600198. + 8.00909e6i −0.0530287 + 0.707619i
\(664\) −6.93548e6 + 3.33995e6i −0.610459 + 0.293981i
\(665\) −50629.9 + 149865.i −0.00443969 + 0.0131416i
\(666\) −1.37112e6 660298.i −0.119782 0.0576839i
\(667\) −3.41165e6 + 5.90915e6i −0.296927 + 0.514293i
\(668\) −2.60867e6 4.51834e6i −0.226192 0.391776i
\(669\) −1.00614e6 1.34260e7i −0.0869148 1.15980i
\(670\) −31581.8 80469.1i −0.00271800 0.00692536i
\(671\) 808210. 3.54100e6i 0.0692976 0.303612i
\(672\) −1.18938e7 3.04962e6i −1.01601 0.260509i
\(673\) 1.73515e6 + 7.60219e6i 0.147672 + 0.646995i 0.993528 + 0.113584i \(0.0362331\pi\)
−0.845856 + 0.533411i \(0.820910\pi\)
\(674\) −4.12014e6 + 2.80906e6i −0.349351 + 0.238184i
\(675\) −7.54537e6 + 7.00108e6i −0.637413 + 0.591433i
\(676\) −3.97766e6 599536.i −0.334781 0.0504601i
\(677\) −1.23863e7 1.14928e7i −1.03865 0.963728i −0.0392824 0.999228i \(-0.512507\pi\)
−0.999370 + 0.0354999i \(0.988698\pi\)
\(678\) 2.28274e6 + 2.86247e6i 0.190714 + 0.239148i
\(679\) 1.96959e6 95011.3i 0.163946 0.00790862i
\(680\) −55710.3 + 69858.5i −0.00462022 + 0.00579358i
\(681\) −1.94011e7 + 2.92424e6i −1.60309 + 0.241627i
\(682\) −5.17883e6 3.53087e6i −0.426355 0.290684i
\(683\) −2.22833e6 + 5.67769e6i −0.182779 + 0.465715i −0.992669 0.120869i \(-0.961432\pi\)
0.809889 + 0.586583i \(0.199527\pi\)
\(684\) 2.36232e6 + 728679.i 0.193063 + 0.0595520i
\(685\) −205889. −0.0167652
\(686\) −4.86776e6 758578.i −0.394929 0.0615446i
\(687\) 7.22419e6 0.583979
\(688\) −2.17072e6 669580.i −0.174837 0.0539301i
\(689\) 1.66018e6 4.23007e6i 0.133232 0.339469i
\(690\) −91831.8 62609.8i −0.00734294 0.00500633i
\(691\) 125318. 18888.6i 0.00998428 0.00150489i −0.144048 0.989571i \(-0.546012\pi\)
0.154033 + 0.988066i \(0.450774\pi\)
\(692\) −3.31776e6 + 4.16034e6i −0.263378 + 0.330265i
\(693\) −2.67876e6 + 129221.i −0.211886 + 0.0102212i
\(694\) −2.72175e6 3.41296e6i −0.214511 0.268988i
\(695\) −12560.9 11654.8i −0.000986410 0.000915254i
\(696\) 3.62090e6 + 545763.i 0.283331 + 0.0427052i
\(697\) 2.45582e6 2.27867e6i 0.191476 0.177664i
\(698\) −2.41631e6 + 1.64741e6i −0.187722 + 0.127986i
\(699\) 3.30810e6 + 1.44937e7i 0.256086 + 1.12199i
\(700\) −1.05502e7 2.70512e6i −0.813796 0.208661i
\(701\) −3.47914e6 + 1.52431e7i −0.267410 + 1.17160i 0.645605 + 0.763671i \(0.276605\pi\)
−0.913015 + 0.407927i \(0.866252\pi\)
\(702\) −1.28124e6 3.26455e6i −0.0981270 0.250023i
\(703\) −1.79111e6 2.39007e7i −0.136689 1.82399i
\(704\) 1.10054e6 + 1.90620e6i 0.0836904 + 0.144956i
\(705\) −77044.1 + 133444.i −0.00583803 + 0.0101118i
\(706\) −468562. 225647.i −0.0353798 0.0170380i
\(707\) 4.77674e6 1.41392e7i 0.359404 1.06384i
\(708\) 1.18148e7 5.68969e6i 0.885813 0.426585i
\(709\) −286814. + 3.82727e6i −0.0214282 + 0.285939i 0.976188 + 0.216928i \(0.0696036\pi\)
−0.997616 + 0.0690115i \(0.978015\pi\)
\(710\) 25687.5 7923.56i 0.00191239 0.000589895i
\(711\) −167620. + 51703.9i −0.0124352 + 0.00383574i
\(712\) 1.41660e6 1.89032e7i 0.104724 1.39745i
\(713\) 2.60904e7 1.25645e7i 1.92201 0.925593i
\(714\) 4.26219e6 + 2.61433e6i 0.312887 + 0.191917i
\(715\) 116461. + 56084.4i 0.00851949 + 0.00410277i
\(716\) −3.31960e6 + 5.74972e6i −0.241993 + 0.419145i
\(717\) 5.84057e6 + 1.01162e7i 0.424285 + 0.734882i
\(718\) −223567. 2.98329e6i −0.0161844 0.215965i
\(719\) 9.03209e6 + 2.30134e7i 0.651577 + 1.66019i 0.747057 + 0.664760i \(0.231466\pi\)
−0.0954794 + 0.995431i \(0.530438\pi\)
\(720\) 4265.06 18686.4i 0.000306615 0.00134337i
\(721\) 9.20842e6 1.84557e6i 0.659701 0.132219i
\(722\) −401465. 1.75893e6i −0.0286619 0.125576i
\(723\) −2.21658e7 + 1.51124e7i −1.57702 + 1.07520i
\(724\) −2.12817e6 + 1.97465e6i −0.150890 + 0.140005i
\(725\) 4.95722e6 + 747181.i 0.350262 + 0.0527936i
\(726\) −133280. 123665.i −0.00938474 0.00870777i
\(727\) 1.06909e7 + 1.34060e7i 0.750205 + 0.940728i 0.999617 0.0276697i \(-0.00880868\pi\)
−0.249412 + 0.968398i \(0.580237\pi\)
\(728\) 4.75522e6 6.59092e6i 0.332538 0.460912i
\(729\) 6.37505e6 7.99406e6i 0.444288 0.557120i
\(730\) −7404.52 + 1116.05i −0.000514268 + 7.75135e-5i
\(731\) 3.33923e6 + 2.27665e6i 0.231128 + 0.157581i
\(732\) 1.50219e6 3.82753e6i 0.103621 0.264022i
\(733\) −4.66576e6 1.43920e6i −0.320747 0.0989373i 0.130201 0.991488i \(-0.458438\pi\)
−0.450948 + 0.892550i \(0.648914\pi\)
\(734\) −2.19884e6 −0.150645
\(735\) 24798.1 192682.i 0.00169317 0.0131560i
\(736\) 2.34979e7 1.59895
\(737\) 2.20563e7 + 6.80346e6i 1.49577 + 0.461383i
\(738\) 141302. 360031.i 0.00955007 0.0243332i
\(739\) −728628. 496770.i −0.0490789 0.0334614i 0.538532 0.842605i \(-0.318979\pi\)
−0.587611 + 0.809144i \(0.699931\pi\)
\(740\) −237490. + 35795.8i −0.0159428 + 0.00240300i
\(741\) −9.10494e6 + 1.14172e7i −0.609160 + 0.763863i
\(742\) −1.86839e6 2.12426e6i −0.124583 0.141644i
\(743\) −1.40048e7 1.75615e7i −0.930690 1.16705i −0.985691 0.168562i \(-0.946088\pi\)
0.0550008 0.998486i \(-0.482484\pi\)
\(744\) −1.13921e7 1.05704e7i −0.754524 0.700096i
\(745\) 149441. + 22524.6i 0.00986459 + 0.00148685i
\(746\) 3.92350e6 3.64047e6i 0.258123 0.239503i
\(747\) −2.42728e6 + 1.65489e6i −0.159154 + 0.108510i
\(748\) −2.42402e6 1.06203e7i −0.158410 0.694040i
\(749\) −2.24939e6 1.89385e6i −0.146507 0.123351i
\(750\) −36344.8 + 159237.i −0.00235933 + 0.0103369i
\(751\) −1.24814e6 3.18020e6i −0.0807536 0.205757i 0.884795 0.465981i \(-0.154299\pi\)
−0.965548 + 0.260225i \(0.916203\pi\)
\(752\) −557237. 7.43581e6i −0.0359332 0.479495i
\(753\) 1.27105e7 + 2.20152e7i 0.816912 + 1.41493i
\(754\) −854031. + 1.47922e6i −0.0547073 + 0.0947558i
\(755\) −50230.5 24189.7i −0.00320701 0.00154441i
\(756\) 1.14241e7 + 1.16237e6i 0.726973 + 0.0739672i
\(757\) 2.06895e7 9.96356e6i 1.31223 0.631939i 0.358764 0.933428i \(-0.383198\pi\)
0.953469 + 0.301490i \(0.0974838\pi\)
\(758\) −343036. + 4.57750e6i −0.0216854 + 0.289371i
\(759\) 2.83584e7 8.74739e6i 1.78680 0.551156i
\(760\) −155245. + 47886.8i −0.00974954 + 0.00300733i