Properties

Label 49.6.g.a.25.10
Level $49$
Weight $6$
Character 49.25
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 25.10
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.52973 + 0.471861i) q^{2} +(10.3277 + 26.3145i) q^{3} +(-24.3222 + 16.5826i) q^{4} +(90.2851 + 13.6083i) q^{5} +(-28.2154 - 35.3810i) q^{6} +(124.488 + 36.1916i) q^{7} +(61.3216 - 76.8948i) q^{8} +(-407.661 + 378.255i) q^{9} +O(q^{10})\) \(q+(-1.52973 + 0.471861i) q^{2} +(10.3277 + 26.3145i) q^{3} +(-24.3222 + 16.5826i) q^{4} +(90.2851 + 13.6083i) q^{5} +(-28.2154 - 35.3810i) q^{6} +(124.488 + 36.1916i) q^{7} +(61.3216 - 76.8948i) q^{8} +(-407.661 + 378.255i) q^{9} +(-144.533 + 21.7849i) q^{10} +(-128.000 - 118.767i) q^{11} +(-687.555 - 468.767i) q^{12} +(67.7066 - 296.642i) q^{13} +(-207.510 + 3.37723i) q^{14} +(574.341 + 2516.35i) q^{15} +(286.626 - 730.312i) q^{16} +(-62.2963 + 831.286i) q^{17} +(445.130 - 770.988i) q^{18} +(-912.061 - 1579.74i) q^{19} +(-2421.59 + 1166.18i) q^{20} +(333.304 + 3649.61i) q^{21} +(251.847 + 121.283i) q^{22} +(-25.5846 - 341.403i) q^{23} +(2656.76 + 819.502i) q^{24} +(4980.05 + 1536.14i) q^{25} +(36.4006 + 485.732i) q^{26} +(-7974.78 - 3840.45i) q^{27} +(-3627.96 + 1184.07i) q^{28} +(3320.37 - 1599.00i) q^{29} +(-2065.96 - 3578.34i) q^{30} +(2765.27 - 4789.58i) q^{31} +(-329.053 + 4390.90i) q^{32} +(1803.34 - 4594.84i) q^{33} +(-296.954 - 1301.04i) q^{34} +(10746.9 + 4961.63i) q^{35} +(3642.78 - 15960.1i) q^{36} +(-10846.4 - 7394.94i) q^{37} +(2140.63 + 1986.21i) q^{38} +(8505.25 - 1281.96i) q^{39} +(6582.84 - 6107.98i) q^{40} +(4562.34 - 5720.99i) q^{41} +(-2231.97 - 5425.66i) q^{42} +(14556.7 + 18253.5i) q^{43} +(5082.70 + 766.094i) q^{44} +(-41953.2 + 28603.2i) q^{45} +(200.232 + 510.184i) q^{46} +(-19403.0 + 5985.03i) q^{47} +22178.0 q^{48} +(14187.3 + 9010.82i) q^{49} -8343.00 q^{50} +(-22518.3 + 6945.97i) q^{51} +(3272.32 + 8337.74i) q^{52} +(3224.03 - 2198.11i) q^{53} +(14011.5 + 2111.89i) q^{54} +(-9940.28 - 12464.7i) q^{55} +(10416.7 - 7353.13i) q^{56} +(32150.5 - 40315.5i) q^{57} +(-4324.77 + 4012.80i) q^{58} +(20427.5 - 3078.95i) q^{59} +(-55696.9 - 51679.2i) q^{60} +(14173.2 + 9663.10i) q^{61} +(-1970.11 + 8631.61i) q^{62} +(-64438.4 + 32334.1i) q^{63} +(4017.95 + 17603.8i) q^{64} +(10149.7 - 25861.0i) q^{65} +(-590.510 + 7879.81i) q^{66} +(-33771.4 + 58493.7i) q^{67} +(-12269.7 - 21251.8i) q^{68} +(8719.63 - 4199.15i) q^{69} +(-18781.1 - 2518.95i) q^{70} +(-20055.6 - 9658.28i) q^{71} +(4087.38 + 54542.2i) q^{72} +(41487.6 + 12797.2i) q^{73} +(20081.5 + 6194.32i) q^{74} +(11009.6 + 146913. i) q^{75} +(48379.4 + 23298.3i) q^{76} +(-11636.1 - 19417.5i) q^{77} +(-12405.9 + 5974.35i) q^{78} +(-3311.84 - 5736.27i) q^{79} +(35816.4 - 62035.8i) q^{80} +(8599.89 - 114757. i) q^{81} +(-4279.66 + 10904.4i) q^{82} +(-5683.78 - 24902.3i) q^{83} +(-68626.7 - 83239.5i) q^{84} +(-16936.8 + 74205.1i) q^{85} +(-30881.0 - 21054.3i) q^{86} +(76368.8 + 70859.9i) q^{87} +(-16981.7 + 2559.58i) q^{88} +(43309.6 - 40185.4i) q^{89} +(50680.5 - 63551.3i) q^{90} +(19164.6 - 34477.9i) q^{91} +(6283.63 + 7879.42i) q^{92} +(154594. + 23301.4i) q^{93} +(26857.3 - 18311.0i) q^{94} +(-60848.0 - 155038. i) q^{95} +(-118943. + 36689.0i) q^{96} -2530.79 q^{97} +(-25954.7 - 7089.71i) q^{98} +97104.6 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52973 + 0.471861i −0.270421 + 0.0834140i −0.427000 0.904252i \(-0.640430\pi\)
0.156579 + 0.987665i \(0.449953\pi\)
\(3\) 10.3277 + 26.3145i 0.662522 + 1.68808i 0.723848 + 0.689960i \(0.242372\pi\)
−0.0613261 + 0.998118i \(0.519533\pi\)
\(4\) −24.3222 + 16.5826i −0.760069 + 0.518206i
\(5\) 90.2851 + 13.6083i 1.61507 + 0.243433i 0.893551 0.448962i \(-0.148206\pi\)
0.721519 + 0.692395i \(0.243444\pi\)
\(6\) −28.2154 35.3810i −0.319969 0.401229i
\(7\) 124.488 + 36.1916i 0.960243 + 0.279166i
\(8\) 61.3216 76.8948i 0.338757 0.424788i
\(9\) −407.661 + 378.255i −1.67762 + 1.55660i
\(10\) −144.533 + 21.7849i −0.457055 + 0.0688900i
\(11\) −128.000 118.767i −0.318954 0.295946i 0.504405 0.863467i \(-0.331712\pi\)
−0.823359 + 0.567521i \(0.807902\pi\)
\(12\) −687.555 468.767i −1.37833 0.939732i
\(13\) 67.7066 296.642i 0.111115 0.486827i −0.888495 0.458887i \(-0.848248\pi\)
0.999610 0.0279396i \(-0.00889461\pi\)
\(14\) −207.510 + 3.37723i −0.282957 + 0.00460512i
\(15\) 574.341 + 2516.35i 0.659085 + 2.88764i
\(16\) 286.626 730.312i 0.279909 0.713195i
\(17\) −62.2963 + 831.286i −0.0522805 + 0.697635i 0.908066 + 0.418827i \(0.137559\pi\)
−0.960347 + 0.278809i \(0.910061\pi\)
\(18\) 445.130 770.988i 0.323822 0.560876i
\(19\) −912.061 1579.74i −0.579615 1.00392i −0.995523 0.0945163i \(-0.969870\pi\)
0.415908 0.909407i \(-0.363464\pi\)
\(20\) −2421.59 + 1166.18i −1.35371 + 0.651914i
\(21\) 333.304 + 3649.61i 0.164927 + 1.80592i
\(22\) 251.847 + 121.283i 0.110938 + 0.0534249i
\(23\) −25.5846 341.403i −0.0100846 0.134570i 0.989889 0.141845i \(-0.0453034\pi\)
−0.999974 + 0.00727484i \(0.997684\pi\)
\(24\) 2656.76 + 819.502i 0.941509 + 0.290417i
\(25\) 4980.05 + 1536.14i 1.59362 + 0.491566i
\(26\) 36.4006 + 485.732i 0.0105603 + 0.140917i
\(27\) −7974.78 3840.45i −2.10528 1.01385i
\(28\) −3627.96 + 1184.07i −0.874516 + 0.285418i
\(29\) 3320.37 1599.00i 0.733147 0.353065i −0.0297740 0.999557i \(-0.509479\pi\)
0.762921 + 0.646492i \(0.223764\pi\)
\(30\) −2065.96 3578.34i −0.419100 0.725903i
\(31\) 2765.27 4789.58i 0.516812 0.895145i −0.482997 0.875622i \(-0.660452\pi\)
0.999809 0.0195233i \(-0.00621484\pi\)
\(32\) −329.053 + 4390.90i −0.0568055 + 0.758017i
\(33\) 1803.34 4594.84i 0.288266 0.734490i
\(34\) −296.954 1301.04i −0.0440547 0.193016i
\(35\) 10746.9 + 4961.63i 1.48290 + 0.684627i
\(36\) 3642.78 15960.1i 0.468465 2.05248i
\(37\) −10846.4 7394.94i −1.30251 0.888036i −0.304588 0.952484i \(-0.598519\pi\)
−0.997921 + 0.0644482i \(0.979471\pi\)
\(38\) 2140.63 + 1986.21i 0.240482 + 0.223134i
\(39\) 8505.25 1281.96i 0.895417 0.134962i
\(40\) 6582.84 6107.98i 0.650524 0.603598i
\(41\) 4562.34 5720.99i 0.423865 0.531510i −0.523346 0.852120i \(-0.675316\pi\)
0.947211 + 0.320610i \(0.103888\pi\)
\(42\) −2231.97 5425.66i −0.195239 0.474602i
\(43\) 14556.7 + 18253.5i 1.20058 + 1.50548i 0.811577 + 0.584246i \(0.198610\pi\)
0.389005 + 0.921236i \(0.372819\pi\)
\(44\) 5082.70 + 766.094i 0.395788 + 0.0596555i
\(45\) −41953.2 + 28603.2i −3.08840 + 2.10563i
\(46\) 200.232 + 510.184i 0.0139521 + 0.0355494i
\(47\) −19403.0 + 5985.03i −1.28122 + 0.395204i −0.859320 0.511438i \(-0.829113\pi\)
−0.421901 + 0.906642i \(0.638637\pi\)
\(48\) 22178.0 1.38937
\(49\) 14187.3 + 9010.82i 0.844132 + 0.536135i
\(50\) −8343.00 −0.471952
\(51\) −22518.3 + 6945.97i −1.21230 + 0.373945i
\(52\) 3272.32 + 8337.74i 0.167822 + 0.427602i
\(53\) 3224.03 2198.11i 0.157656 0.107488i −0.481923 0.876214i \(-0.660061\pi\)
0.639578 + 0.768726i \(0.279109\pi\)
\(54\) 14011.5 + 2111.89i 0.653881 + 0.0985568i
\(55\) −9940.28 12464.7i −0.443090 0.555617i
\(56\) 10416.7 7353.13i 0.443876 0.313330i
\(57\) 32150.5 40315.5i 1.31069 1.64356i
\(58\) −4324.77 + 4012.80i −0.168808 + 0.156631i
\(59\) 20427.5 3078.95i 0.763986 0.115152i 0.244521 0.969644i \(-0.421369\pi\)
0.519465 + 0.854492i \(0.326131\pi\)
\(60\) −55696.9 51679.2i −1.99734 1.85326i
\(61\) 14173.2 + 9663.10i 0.487688 + 0.332500i 0.782073 0.623187i \(-0.214162\pi\)
−0.294385 + 0.955687i \(0.595115\pi\)
\(62\) −1970.11 + 8631.61i −0.0650895 + 0.285176i
\(63\) −64438.4 + 32334.1i −2.04547 + 1.02638i
\(64\) 4017.95 + 17603.8i 0.122618 + 0.537225i
\(65\) 10149.7 25861.0i 0.297968 0.759210i
\(66\) −590.510 + 7879.81i −0.0166866 + 0.222667i
\(67\) −33771.4 + 58493.7i −0.919097 + 1.59192i −0.118308 + 0.992977i \(0.537747\pi\)
−0.800789 + 0.598946i \(0.795586\pi\)
\(68\) −12269.7 21251.8i −0.321782 0.557343i
\(69\) 8719.63 4199.15i 0.220483 0.106179i
\(70\) −18781.1 2518.95i −0.458116 0.0614433i
\(71\) −20055.6 9658.28i −0.472161 0.227381i 0.182643 0.983179i \(-0.441535\pi\)
−0.654804 + 0.755798i \(0.727249\pi\)
\(72\) 4087.38 + 54542.2i 0.0929209 + 1.23994i
\(73\) 41487.6 + 12797.2i 0.911195 + 0.281066i 0.714694 0.699437i \(-0.246566\pi\)
0.196501 + 0.980504i \(0.437042\pi\)
\(74\) 20081.5 + 6194.32i 0.426301 + 0.131496i
\(75\) 11009.6 + 146913.i 0.226005 + 3.01582i
\(76\) 48379.4 + 23298.3i 0.960787 + 0.462690i
\(77\) −11636.1 19417.5i −0.223655 0.373221i
\(78\) −12405.9 + 5974.35i −0.230882 + 0.111187i
\(79\) −3311.84 5736.27i −0.0597037 0.103410i 0.834629 0.550813i \(-0.185682\pi\)
−0.894332 + 0.447403i \(0.852349\pi\)
\(80\) 35816.4 62035.8i 0.625687 1.08372i
\(81\) 8599.89 114757.i 0.145640 1.94343i
\(82\) −4279.66 + 10904.4i −0.0702869 + 0.179088i
\(83\) −5683.78 24902.3i −0.0905612 0.396774i 0.909249 0.416252i \(-0.136657\pi\)
−0.999810 + 0.0194779i \(0.993800\pi\)
\(84\) −68626.7 83239.5i −1.06119 1.28716i
\(85\) −16936.8 + 74205.1i −0.254264 + 1.11400i
\(86\) −30881.0 21054.3i −0.450241 0.306969i
\(87\) 76368.8 + 70859.9i 1.08173 + 1.00370i
\(88\) −16981.7 + 2559.58i −0.233762 + 0.0352340i
\(89\) 43309.6 40185.4i 0.579574 0.537766i −0.334982 0.942224i \(-0.608730\pi\)
0.914556 + 0.404458i \(0.132540\pi\)
\(90\) 50680.5 63551.3i 0.659530 0.827024i
\(91\) 19164.6 34477.9i 0.242603 0.436452i
\(92\) 6283.63 + 7879.42i 0.0774000 + 0.0970565i
\(93\) 154594. + 23301.4i 1.85347 + 0.279366i
\(94\) 26857.3 18311.0i 0.313504 0.213743i
\(95\) −60848.0 155038.i −0.691731 1.76250i
\(96\) −118943. + 36689.0i −1.31723 + 0.406310i
\(97\) −2530.79 −0.0273103 −0.0136551 0.999907i \(-0.504347\pi\)
−0.0136551 + 0.999907i \(0.504347\pi\)
\(98\) −25954.7 7089.71i −0.272993 0.0745699i
\(99\) 97104.6 0.995754
\(100\) −146599. + 45219.8i −1.46599 + 0.452198i
\(101\) −40453.7 103074.i −0.394598 1.00542i −0.980759 0.195225i \(-0.937456\pi\)
0.586160 0.810195i \(-0.300639\pi\)
\(102\) 31169.5 21251.0i 0.296639 0.202245i
\(103\) −89979.5 13562.2i −0.835700 0.125961i −0.282768 0.959188i \(-0.591253\pi\)
−0.552931 + 0.833227i \(0.686491\pi\)
\(104\) −18658.4 23396.9i −0.169157 0.212116i
\(105\) −19572.5 + 334041.i −0.173250 + 2.95683i
\(106\) −3894.71 + 4883.81i −0.0336675 + 0.0422177i
\(107\) −42736.5 + 39653.6i −0.360860 + 0.334829i −0.839678 0.543085i \(-0.817256\pi\)
0.478817 + 0.877915i \(0.341066\pi\)
\(108\) 257649. 38834.3i 2.12554 0.320374i
\(109\) −114832. 106549.i −0.925758 0.858978i 0.0645433 0.997915i \(-0.479441\pi\)
−0.990301 + 0.138937i \(0.955631\pi\)
\(110\) 21087.6 + 14377.3i 0.166167 + 0.113291i
\(111\) 82576.3 361790.i 0.636133 2.78708i
\(112\) 62112.6 80541.3i 0.467880 0.606700i
\(113\) −7352.14 32211.8i −0.0541648 0.237312i 0.940598 0.339523i \(-0.110265\pi\)
−0.994763 + 0.102211i \(0.967408\pi\)
\(114\) −30158.5 + 76842.5i −0.217344 + 0.553783i
\(115\) 2336.00 31171.8i 0.0164713 0.219795i
\(116\) −54243.0 + 93951.6i −0.374282 + 0.648275i
\(117\) 84604.8 + 146540.i 0.571387 + 0.989672i
\(118\) −29795.8 + 14348.9i −0.196993 + 0.0948668i
\(119\) −37840.7 + 101230.i −0.244958 + 0.655304i
\(120\) 228714. + 110143.i 1.44991 + 0.698238i
\(121\) −9756.87 130196.i −0.0605825 0.808418i
\(122\) −26240.8 8094.22i −0.159616 0.0492352i
\(123\) 197664. + 60971.1i 1.17805 + 0.363380i
\(124\) 12166.3 + 162349.i 0.0710568 + 0.948187i
\(125\) 171649. + 82661.8i 0.982576 + 0.473184i
\(126\) 83316.5 79868.5i 0.467525 0.448177i
\(127\) −34455.1 + 16592.7i −0.189559 + 0.0912867i −0.526256 0.850326i \(-0.676405\pi\)
0.336697 + 0.941613i \(0.390690\pi\)
\(128\) −84904.4 147059.i −0.458042 0.793352i
\(129\) −329996. + 571569.i −1.74596 + 3.02409i
\(130\) −3323.55 + 44349.7i −0.0172482 + 0.230161i
\(131\) −41593.6 + 105979.i −0.211762 + 0.539561i −0.996804 0.0798810i \(-0.974546\pi\)
0.785042 + 0.619442i \(0.212641\pi\)
\(132\) 32333.1 + 141661.i 0.161515 + 0.707644i
\(133\) −56367.1 229666.i −0.276310 1.12582i
\(134\) 24060.3 105415.i 0.115755 0.507156i
\(135\) −667742. 455259.i −3.15337 2.14993i
\(136\) 60101.5 + 55766.1i 0.278637 + 0.258537i
\(137\) 144629. 21799.3i 0.658346 0.0992297i 0.188631 0.982048i \(-0.439595\pi\)
0.469715 + 0.882818i \(0.344357\pi\)
\(138\) −11357.3 + 10538.0i −0.0507665 + 0.0471045i
\(139\) −132947. + 166710.i −0.583636 + 0.731856i −0.982728 0.185054i \(-0.940754\pi\)
0.399092 + 0.916911i \(0.369325\pi\)
\(140\) −343664. + 57533.3i −1.48188 + 0.248084i
\(141\) −357881. 448769.i −1.51597 1.90097i
\(142\) 35237.1 + 5311.14i 0.146649 + 0.0221038i
\(143\) −43897.6 + 29928.9i −0.179515 + 0.122391i
\(144\) 159397. + 406138.i 0.640582 + 1.63218i
\(145\) 321539. 99181.8i 1.27003 0.391753i
\(146\) −69503.6 −0.269852
\(147\) −90593.0 + 466394.i −0.345781 + 1.78016i
\(148\) 386435. 1.45018
\(149\) 315522. 97325.8i 1.16430 0.359139i 0.348407 0.937343i \(-0.386723\pi\)
0.815892 + 0.578205i \(0.196246\pi\)
\(150\) −86164.0 219542.i −0.312678 0.796691i
\(151\) −52565.3 + 35838.4i −0.187610 + 0.127911i −0.653483 0.756941i \(-0.726693\pi\)
0.465873 + 0.884852i \(0.345741\pi\)
\(152\) −177403. 26739.1i −0.622803 0.0938725i
\(153\) −289042. 362447.i −0.998234 1.25175i
\(154\) 26962.4 + 24213.0i 0.0916130 + 0.0822710i
\(155\) 314841. 394798.i 1.05260 1.31991i
\(156\) −185608. + 172219.i −0.610640 + 0.566592i
\(157\) −34058.0 + 5133.41i −0.110273 + 0.0166210i −0.203947 0.978982i \(-0.565377\pi\)
0.0936738 + 0.995603i \(0.470139\pi\)
\(158\) 7772.95 + 7212.24i 0.0247710 + 0.0229841i
\(159\) 91138.9 + 62137.5i 0.285898 + 0.194922i
\(160\) −89461.2 + 391955.i −0.276271 + 1.21042i
\(161\) 9170.96 43426.4i 0.0278837 0.132035i
\(162\) 40994.0 + 179606.i 0.122725 + 0.537693i
\(163\) −17245.2 + 43940.0i −0.0508392 + 0.129536i −0.954037 0.299688i \(-0.903118\pi\)
0.903198 + 0.429224i \(0.141213\pi\)
\(164\) −16097.2 + 214803.i −0.0467349 + 0.623634i
\(165\) 225343. 390305.i 0.644368 1.11608i
\(166\) 20445.1 + 35411.9i 0.0575862 + 0.0997422i
\(167\) −177694. + 85572.9i −0.493039 + 0.237435i −0.663846 0.747869i \(-0.731077\pi\)
0.170807 + 0.985305i \(0.445363\pi\)
\(168\) 301075. + 198170.i 0.823003 + 0.541708i
\(169\) 251111. + 120929.i 0.676315 + 0.325696i
\(170\) −9105.60 121506.i −0.0241650 0.322459i
\(171\) 969354. + 299006.i 2.53508 + 0.781969i
\(172\) −656742. 202578.i −1.69267 0.522121i
\(173\) −2373.92 31677.7i −0.00603045 0.0804708i 0.993377 0.114905i \(-0.0366563\pi\)
−0.999407 + 0.0344338i \(0.989037\pi\)
\(174\) −150260. 72361.3i −0.376244 0.181190i
\(175\) 564360. + 371467.i 1.39303 + 0.916907i
\(176\) −123425. + 59438.2i −0.300345 + 0.144639i
\(177\) 291990. + 505742.i 0.700544 + 1.21338i
\(178\) −47290.2 + 81909.1i −0.111872 + 0.193768i
\(179\) 52274.9 697560.i 0.121944 1.62723i −0.515609 0.856824i \(-0.672434\pi\)
0.637553 0.770406i \(-0.279947\pi\)
\(180\) 546078. 1.39138e6i 1.25624 3.20086i
\(181\) −16841.8 73788.8i −0.0382113 0.167415i 0.952222 0.305407i \(-0.0987924\pi\)
−0.990433 + 0.137992i \(0.955935\pi\)
\(182\) −13048.0 + 61785.0i −0.0291988 + 0.138262i
\(183\) −107904. + 472758.i −0.238182 + 1.04354i
\(184\) −27821.0 18968.1i −0.0605799 0.0413027i
\(185\) −878635. 815254.i −1.88747 1.75131i
\(186\) −247483. + 37302.1i −0.524522 + 0.0790590i
\(187\) 106703. 99005.9i 0.223137 0.207041i
\(188\) 372676. 467321.i 0.769019 0.964319i
\(189\) −853770. 766709.i −1.73855 1.56126i
\(190\) 166238. + 208455.i 0.334076 + 0.418918i
\(191\) 751194. + 113224.i 1.48994 + 0.224572i 0.842977 0.537949i \(-0.180801\pi\)
0.646963 + 0.762521i \(0.276039\pi\)
\(192\) −421740. + 287537.i −0.825641 + 0.562913i
\(193\) 203804. + 519284.i 0.393840 + 1.00349i 0.980999 + 0.194015i \(0.0621511\pi\)
−0.587159 + 0.809472i \(0.699754\pi\)
\(194\) 3871.43 1194.18i 0.00738529 0.00227806i
\(195\) 785343. 1.47902
\(196\) −494490. + 16099.9i −0.919427 + 0.0299353i
\(197\) −708773. −1.30119 −0.650597 0.759423i \(-0.725481\pi\)
−0.650597 + 0.759423i \(0.725481\pi\)
\(198\) −148544. + 45819.8i −0.269273 + 0.0830597i
\(199\) 57949.5 + 147653.i 0.103733 + 0.264307i 0.973312 0.229487i \(-0.0737048\pi\)
−0.869579 + 0.493794i \(0.835610\pi\)
\(200\) 423506. 288742.i 0.748660 0.510428i
\(201\) −1.88801e6 284572.i −3.29621 0.496824i
\(202\) 110520. + 138588.i 0.190574 + 0.238972i
\(203\) 471215. 78886.8i 0.802563 0.134358i
\(204\) 432512. 542353.i 0.727651 0.912445i
\(205\) 489764. 454435.i 0.813959 0.755243i
\(206\) 144044. 21711.2i 0.236498 0.0356463i
\(207\) 139567. + 129499.i 0.226390 + 0.210059i
\(208\) −197235. 134472.i −0.316100 0.215514i
\(209\) −70876.1 + 310528.i −0.112236 + 0.491740i
\(210\) −127680. 520230.i −0.199790 0.814042i
\(211\) 107222. + 469768.i 0.165797 + 0.726403i 0.987646 + 0.156699i \(0.0500852\pi\)
−0.821850 + 0.569704i \(0.807058\pi\)
\(212\) −41965.2 + 106926.i −0.0641283 + 0.163396i
\(213\) 47024.8 627502.i 0.0710195 0.947689i
\(214\) 46664.4 80825.2i 0.0696549 0.120646i
\(215\) 1.06585e6 + 1.84611e6i 1.57254 + 2.72372i
\(216\) −784338. + 377717.i −1.14385 + 0.550849i
\(217\) 517584. 496164.i 0.746160 0.715280i
\(218\) 225939. + 108806.i 0.321995 + 0.155065i
\(219\) 91718.1 + 1.22389e6i 0.129224 + 1.72438i
\(220\) 448467. + 138334.i 0.624703 + 0.192695i
\(221\) 242377. + 74763.3i 0.333818 + 0.102969i
\(222\) 44394.8 + 592407.i 0.0604574 + 0.806748i
\(223\) −16828.6 8104.22i −0.0226613 0.0109131i 0.422519 0.906354i \(-0.361146\pi\)
−0.445180 + 0.895441i \(0.646860\pi\)
\(224\) −199877. + 534704.i −0.266160 + 0.712022i
\(225\) −2.61123e6 + 1.25750e6i −3.43866 + 1.65597i
\(226\) 26446.3 + 45806.3i 0.0344424 + 0.0596560i
\(227\) 613597. 1.06278e6i 0.790349 1.36892i −0.135402 0.990791i \(-0.543233\pi\)
0.925751 0.378134i \(-0.123434\pi\)
\(228\) −113436. + 1.51370e6i −0.144515 + 1.92842i
\(229\) −49296.8 + 125606.i −0.0621199 + 0.158279i −0.958564 0.284879i \(-0.908047\pi\)
0.896444 + 0.443158i \(0.146142\pi\)
\(230\) 11135.3 + 48786.8i 0.0138797 + 0.0608111i
\(231\) 390789. 506735.i 0.481850 0.624814i
\(232\) 80655.0 353373.i 0.0983810 0.431035i
\(233\) −512752. 349589.i −0.618754 0.421859i 0.212962 0.977060i \(-0.431689\pi\)
−0.831716 + 0.555201i \(0.812641\pi\)
\(234\) −198569. 184245.i −0.237068 0.219967i
\(235\) −1.83325e6 + 276318.i −2.16547 + 0.326392i
\(236\) −445785. + 413628.i −0.521010 + 0.483426i
\(237\) 116744. 146392.i 0.135009 0.169296i
\(238\) 10119.7 172711.i 0.0115804 0.197641i
\(239\) −1.04852e6 1.31480e6i −1.18736 1.48890i −0.832543 0.553961i \(-0.813116\pi\)
−0.354814 0.934937i \(-0.615456\pi\)
\(240\) 2.00234e6 + 301805.i 2.24394 + 0.338219i
\(241\) 593543. 404670.i 0.658278 0.448806i −0.187555 0.982254i \(-0.560056\pi\)
0.845833 + 0.533448i \(0.179104\pi\)
\(242\) 76360.0 + 194562.i 0.0838161 + 0.213560i
\(243\) 1.05329e6 324896.i 1.14428 0.352963i
\(244\) −504962. −0.542980
\(245\) 1.15828e6 + 1.00661e6i 1.23282 + 1.07138i
\(246\) −331143. −0.348881
\(247\) −530369. + 163597.i −0.553140 + 0.170621i
\(248\) −198724. 506340.i −0.205173 0.522773i
\(249\) 596591. 406749.i 0.609787 0.415746i
\(250\) −301582. 45456.2i −0.305180 0.0459984i
\(251\) 822874. + 1.03185e6i 0.824421 + 1.03379i 0.998793 + 0.0491117i \(0.0156390\pi\)
−0.174372 + 0.984680i \(0.555790\pi\)
\(252\) 1.03110e6 1.85499e6i 1.02282 1.84010i
\(253\) −37272.4 + 46738.2i −0.0366089 + 0.0459061i
\(254\) 44877.7 41640.4i 0.0436462 0.0404977i
\(255\) −2.12759e6 + 320682.i −2.04898 + 0.308834i
\(256\) −224291. 208112.i −0.213901 0.198471i
\(257\) −1.38178e6 942083.i −1.30499 0.889726i −0.306913 0.951737i \(-0.599296\pi\)
−0.998075 + 0.0620111i \(0.980249\pi\)
\(258\) 235105. 1.03006e6i 0.219893 0.963416i
\(259\) −1.08261e6 1.31313e6i −1.00282 1.21635i
\(260\) 181980. + 797305.i 0.166951 + 0.731461i
\(261\) −748755. + 1.90780e6i −0.680359 + 1.73353i
\(262\) 13620.0 181746.i 0.0122581 0.163573i
\(263\) −791220. + 1.37043e6i −0.705355 + 1.22171i 0.261208 + 0.965282i \(0.415879\pi\)
−0.966563 + 0.256428i \(0.917454\pi\)
\(264\) −242736. 420431.i −0.214350 0.371266i
\(265\) 320994. 154583.i 0.280791 0.135222i
\(266\) 194597. + 324731.i 0.168629 + 0.281397i
\(267\) 1.50475e6 + 724649.i 1.29177 + 0.622084i
\(268\) −148584. 1.98271e6i −0.126367 1.68625i
\(269\) −1.39224e6 429450.i −1.17310 0.361853i −0.353856 0.935300i \(-0.615130\pi\)
−0.819243 + 0.573447i \(0.805606\pi\)
\(270\) 1.23629e6 + 381344.i 1.03207 + 0.318352i
\(271\) −37237.1 496895.i −0.0308002 0.411000i −0.991200 0.132374i \(-0.957740\pi\)
0.960400 0.278626i \(-0.0898790\pi\)
\(272\) 589243. + 283764.i 0.482916 + 0.232560i
\(273\) 1.10519e6 + 148231.i 0.897495 + 0.120374i
\(274\) −210958. + 101592.i −0.169754 + 0.0817491i
\(275\) −455004. 788090.i −0.362814 0.628412i
\(276\) −142448. + 246727.i −0.112560 + 0.194959i
\(277\) 38.5526 514.449i 3.01894e−5 0.000402850i −0.997189 0.0749315i \(-0.976126\pi\)
0.997219 + 0.0745287i \(0.0237452\pi\)
\(278\) 124710. 317755.i 0.0967806 0.246593i
\(279\) 684389. + 2.99850e6i 0.526372 + 2.30618i
\(280\) 1.04054e6 522124.i 0.793165 0.397996i
\(281\) −307294. + 1.34634e6i −0.232160 + 1.01716i 0.715683 + 0.698425i \(0.246116\pi\)
−0.947843 + 0.318736i \(0.896742\pi\)
\(282\) 759220. + 517627.i 0.568519 + 0.387609i
\(283\) 565644. + 524841.i 0.419834 + 0.389549i 0.861605 0.507579i \(-0.169459\pi\)
−0.441772 + 0.897128i \(0.645650\pi\)
\(284\) 647956. 97663.7i 0.476705 0.0718518i
\(285\) 3.45134e6 3.20237e6i 2.51695 2.33539i
\(286\) 53029.4 66496.8i 0.0383356 0.0480713i
\(287\) 775007. 547074.i 0.555393 0.392050i
\(288\) −1.52674e6 1.91447e6i −1.08463 1.36009i
\(289\) 716842. + 108047.i 0.504869 + 0.0760968i
\(290\) −445070. + 303444.i −0.310766 + 0.211877i
\(291\) −26137.2 66596.5i −0.0180937 0.0461019i
\(292\) −1.22128e6 + 376716.i −0.838222 + 0.258557i
\(293\) −824318. −0.560952 −0.280476 0.959861i \(-0.590492\pi\)
−0.280476 + 0.959861i \(0.590492\pi\)
\(294\) −81489.7 756206.i −0.0549837 0.510237i
\(295\) 1.88620e6 1.26192
\(296\) −1.23375e6 + 380562.i −0.818461 + 0.252462i
\(297\) 564654. + 1.43872e6i 0.371442 + 0.946420i
\(298\) −436741. + 297765.i −0.284894 + 0.194238i
\(299\) −103007. 15525.8i −0.0666328 0.0100433i
\(300\) −2.70397e6 3.39067e6i −1.73460 2.17512i
\(301\) 1.15150e6 + 2.79917e6i 0.732570 + 1.78079i
\(302\) 63500.2 79626.7i 0.0400643 0.0502391i
\(303\) 2.29456e6 2.12904e6i 1.43580 1.33222i
\(304\) −1.41512e6 + 213295.i −0.878232 + 0.132372i
\(305\) 1.14813e6 + 1.06531e6i 0.706709 + 0.655730i
\(306\) 613182. + 418061.i 0.374357 + 0.255232i
\(307\) −367812. + 1.61149e6i −0.222731 + 0.975848i 0.732681 + 0.680572i \(0.238269\pi\)
−0.955412 + 0.295276i \(0.904588\pi\)
\(308\) 605007. + 279320.i 0.363399 + 0.167774i
\(309\) −572397. 2.50783e6i −0.341036 1.49418i
\(310\) −295333. + 752496.i −0.174545 + 0.444734i
\(311\) 39571.1 528039.i 0.0231994 0.309575i −0.973518 0.228612i \(-0.926581\pi\)
0.996717 0.0809630i \(-0.0257995\pi\)
\(312\) 422979. 732622.i 0.245999 0.426082i
\(313\) −26384.8 45699.8i −0.0152227 0.0263666i 0.858314 0.513125i \(-0.171512\pi\)
−0.873536 + 0.486759i \(0.838179\pi\)
\(314\) 49677.4 23923.4i 0.0284338 0.0136930i
\(315\) −6.25784e6 + 2.04239e6i −3.55344 + 1.15974i
\(316\) 175673. + 84599.8i 0.0989665 + 0.0476598i
\(317\) −166299. 2.21910e6i −0.0929482 1.24031i −0.827387 0.561632i \(-0.810174\pi\)
0.734439 0.678675i \(-0.237446\pi\)
\(318\) −168739. 52049.0i −0.0935721 0.0288632i
\(319\) −614915. 189676.i −0.338328 0.104360i
\(320\) 123204. + 1.64404e6i 0.0672588 + 0.897506i
\(321\) −1.48484e6 715059.i −0.804296 0.387328i
\(322\) 6462.07 + 70758.3i 0.00347322 + 0.0380310i
\(323\) 1.37003e6 659772.i 0.730675 0.351874i
\(324\) 1.69381e6 + 2.93376e6i 0.896400 + 1.55261i
\(325\) 792867. 1.37329e6i 0.416382 0.721195i
\(326\) 5646.99 75353.9i 0.00294288 0.0392701i
\(327\) 1.61783e6 4.12216e6i 0.836687 2.13184i
\(328\) −160145. 701641.i −0.0821918 0.360106i
\(329\) −2.63204e6 + 42836.4i −1.34061 + 0.0218184i
\(330\) −160545. + 703394.i −0.0811544 + 0.355561i
\(331\) −1.28357e6 875122.i −0.643945 0.439034i 0.196816 0.980440i \(-0.436940\pi\)
−0.840761 + 0.541406i \(0.817892\pi\)
\(332\) 551186. + 511426.i 0.274444 + 0.254647i
\(333\) 7.21883e6 1.08806e6i 3.56743 0.537704i
\(334\) 231446. 214751.i 0.113523 0.105334i
\(335\) −3.84505e6 + 4.82154e6i −1.87193 + 2.34733i
\(336\) 2.76089e6 + 802658.i 1.33414 + 0.387866i
\(337\) −1.18264e6 1.48299e6i −0.567256 0.711317i 0.412624 0.910901i \(-0.364612\pi\)
−0.979881 + 0.199584i \(0.936041\pi\)
\(338\) −441195. 66499.4i −0.210058 0.0316611i
\(339\) 771708. 526142.i 0.364715 0.248659i
\(340\) −818572. 2.08569e6i −0.384025 0.978480i
\(341\) −922796. + 284645.i −0.429754 + 0.132562i
\(342\) −1.62394e6 −0.750768
\(343\) 1.44003e6 + 1.63520e6i 0.660901 + 0.750473i
\(344\) 2.29624e6 1.04622
\(345\) 844396. 260462.i 0.381943 0.117814i
\(346\) 18578.9 + 47338.3i 0.00834315 + 0.0212580i
\(347\) −1.04509e6 + 712528.i −0.465939 + 0.317672i −0.773433 0.633878i \(-0.781462\pi\)
0.307494 + 0.951550i \(0.400510\pi\)
\(348\) −3.03250e6 457075.i −1.34231 0.202320i
\(349\) 739261. + 927004.i 0.324888 + 0.407397i 0.917274 0.398258i \(-0.130385\pi\)
−0.592385 + 0.805655i \(0.701814\pi\)
\(350\) −1.03860e6 301947.i −0.453188 0.131753i
\(351\) −1.67919e6 + 2.10563e6i −0.727497 + 0.912252i
\(352\) 563611. 522955.i 0.242450 0.224961i
\(353\) 1.92393e6 289986.i 0.821774 0.123863i 0.275321 0.961352i \(-0.411216\pi\)
0.546453 + 0.837490i \(0.315978\pi\)
\(354\) −685307. 635872.i −0.290655 0.269688i
\(355\) −1.67929e6 1.14492e6i −0.707221 0.482175i
\(356\) −387006. + 1.69558e6i −0.161842 + 0.709078i
\(357\) −3.05463e6 + 49714.2i −1.26849 + 0.0206447i
\(358\) 249184. + 1.09175e6i 0.102757 + 0.450210i
\(359\) 121431. 309402.i 0.0497272 0.126703i −0.903852 0.427845i \(-0.859273\pi\)
0.953579 + 0.301143i \(0.0973680\pi\)
\(360\) −373198. + 4.97997e6i −0.151769 + 2.02521i
\(361\) −425660. + 737264.i −0.171907 + 0.297752i
\(362\) 60581.5 + 104930.i 0.0242979 + 0.0420852i
\(363\) 3.32529e6 1.60138e6i 1.32453 0.637862i
\(364\) 105607. + 1.15638e6i 0.0417773 + 0.457452i
\(365\) 3.57157e6 + 1.71998e6i 1.40322 + 0.675756i
\(366\) −58011.5 774109.i −0.0226366 0.302064i
\(367\) −3.07236e6 947698.i −1.19071 0.367286i −0.364801 0.931085i \(-0.618863\pi\)
−0.825912 + 0.563799i \(0.809339\pi\)
\(368\) −256664. 79170.4i −0.0987974 0.0304750i
\(369\) 304102. + 4.05795e6i 0.116266 + 1.55146i
\(370\) 1.72876e6 + 832529.i 0.656495 + 0.316151i
\(371\) 480905. 156954.i 0.181395 0.0592022i
\(372\) −4.14647e6 + 1.99684e6i −1.55354 + 0.748144i
\(373\) 319651. + 553652.i 0.118961 + 0.206046i 0.919356 0.393426i \(-0.128710\pi\)
−0.800395 + 0.599473i \(0.795377\pi\)
\(374\) −116510. + 201802.i −0.0430710 + 0.0746012i
\(375\) −402468. + 5.37057e6i −0.147793 + 1.97216i
\(376\) −729604. + 1.85900e6i −0.266145 + 0.678126i
\(377\) −249521. 1.09322e6i −0.0904178 0.396146i
\(378\) 1.66782e6 + 770001.i 0.600371 + 0.277180i
\(379\) 828811. 3.63126e6i 0.296386 1.29855i −0.579080 0.815271i \(-0.696588\pi\)
0.875466 0.483280i \(-0.160555\pi\)
\(380\) 4.05089e6 + 2.76185e6i 1.43910 + 0.981164i
\(381\) −792470. 735305.i −0.279686 0.259511i
\(382\) −1.20255e6 + 181256.i −0.421644 + 0.0635526i
\(383\) 765396. 710184.i 0.266618 0.247385i −0.535522 0.844521i \(-0.679885\pi\)
0.802140 + 0.597136i \(0.203695\pi\)
\(384\) 2.99291e6 3.75299e6i 1.03578 1.29882i
\(385\) −786323. 1.91146e6i −0.270364 0.657223i
\(386\) −556795. 698199.i −0.190207 0.238513i
\(387\) −1.28387e7 1.93512e6i −4.35756 0.656796i
\(388\) 61554.3 41967.0i 0.0207577 0.0141524i
\(389\) −1.94143e6 4.94668e6i −0.650501 1.65745i −0.749210 0.662332i \(-0.769567\pi\)
0.0987098 0.995116i \(-0.468528\pi\)
\(390\) −1.20137e6 + 370572.i −0.399957 + 0.123371i
\(391\) 285398. 0.0944079
\(392\) 1.56288e6 538375.i 0.513700 0.176958i
\(393\) −3.21835e6 −1.05112
\(394\) 1.08423e6 334442.i 0.351870 0.108538i
\(395\) −220949. 562968.i −0.0712523 0.181548i
\(396\) −2.36180e6 + 1.61025e6i −0.756841 + 0.516006i
\(397\) 5.56186e6 + 838315.i 1.77110 + 0.266951i 0.951868 0.306508i \(-0.0991607\pi\)
0.819234 + 0.573459i \(0.194399\pi\)
\(398\) −158319. 198526.i −0.0500985 0.0628216i
\(399\) 5.46142e6 3.85520e6i 1.71741 1.21231i
\(400\) 2.54928e6 3.19669e6i 0.796649 0.998967i
\(401\) −2.44858e6 + 2.27195e6i −0.760421 + 0.705568i −0.961742 0.273958i \(-0.911667\pi\)
0.201321 + 0.979525i \(0.435477\pi\)
\(402\) 3.02244e6 455559.i 0.932808 0.140598i
\(403\) −1.23357e6 1.14458e6i −0.378355 0.351062i
\(404\) 2.69317e6 + 1.83617e6i 0.820936 + 0.559705i
\(405\) 2.33810e6 1.02439e7i 0.708312 3.10332i
\(406\) −683610. + 343024.i −0.205823 + 0.103278i
\(407\) 510065. + 2.23474e6i 0.152630 + 0.668715i
\(408\) −846748. + 2.15748e6i −0.251828 + 0.641647i
\(409\) −88327.3 + 1.17865e6i −0.0261088 + 0.348397i 0.968816 + 0.247780i \(0.0797009\pi\)
−0.994925 + 0.100618i \(0.967918\pi\)
\(410\) −534779. + 926265.i −0.157114 + 0.272129i
\(411\) 2.06732e6 + 3.58071e6i 0.603676 + 1.04560i
\(412\) 2.41340e6 1.16223e6i 0.700463 0.337325i
\(413\) 2.65441e6 + 356014.i 0.765759 + 0.102705i
\(414\) −274606. 132243.i −0.0787426 0.0379204i
\(415\) −174283. 2.32565e6i −0.0496748 0.662864i
\(416\) 1.28025e6 + 394904.i 0.362711 + 0.111881i
\(417\) −5.75994e6 1.77671e6i −1.62210 0.500352i
\(418\) −38104.5 508469.i −0.0106668 0.142339i
\(419\) 3.82857e6 + 1.84374e6i 1.06537 + 0.513057i 0.882613 0.470100i \(-0.155782\pi\)
0.182761 + 0.983157i \(0.441497\pi\)
\(420\) −5.06322e6 8.44918e6i −1.40057 2.33718i
\(421\) 700850. 337512.i 0.192717 0.0928076i −0.335037 0.942205i \(-0.608749\pi\)
0.527754 + 0.849397i \(0.323034\pi\)
\(422\) −385686. 668027.i −0.105427 0.182605i
\(423\) 5.64599e6 9.77914e6i 1.53422 2.65735i
\(424\) 28679.6 382703.i 0.00774745 0.103382i
\(425\) −1.58721e6 + 4.04416e6i −0.426249 + 1.08606i
\(426\) 224158. + 982100.i 0.0598453 + 0.262200i
\(427\) 1.41466e6 + 1.71589e6i 0.375476 + 0.455427i
\(428\) 381884. 1.67315e6i 0.100768 0.441493i
\(429\) −1.24092e6 846048.i −0.325538 0.221948i
\(430\) −2.50158e6 2.32113e6i −0.652444 0.605380i
\(431\) 1.25910e6 189779.i 0.326488 0.0492101i 0.0162466 0.999868i \(-0.494828\pi\)
0.310241 + 0.950658i \(0.399590\pi\)
\(432\) −5.09051e6 + 4.72331e6i −1.31236 + 1.21769i
\(433\) 728191. 913123.i 0.186649 0.234050i −0.679699 0.733491i \(-0.737890\pi\)
0.866348 + 0.499441i \(0.166461\pi\)
\(434\) −557646. + 1.00323e6i −0.142113 + 0.255667i
\(435\) 5.93068e6 + 7.43684e6i 1.50273 + 1.88437i
\(436\) 4.55983e6 + 687283.i 1.14877 + 0.173149i
\(437\) −515992. + 351797.i −0.129253 + 0.0881229i
\(438\) −717811. 1.82895e6i −0.178782 0.455530i
\(439\) −4.51040e6 + 1.39128e6i −1.11700 + 0.344550i −0.797671 0.603093i \(-0.793935\pi\)
−0.319332 + 0.947643i \(0.603458\pi\)
\(440\) −1.56803e6 −0.386119
\(441\) −9.19201e6 + 1.69306e6i −2.25068 + 0.414549i
\(442\) −406050. −0.0988607
\(443\) 158733. 48962.5i 0.0384288 0.0118537i −0.275481 0.961306i \(-0.588837\pi\)
0.313910 + 0.949453i \(0.398361\pi\)
\(444\) 3.99099e6 + 1.01689e7i 0.960777 + 2.44802i
\(445\) 4.45707e6 3.03878e6i 1.06696 0.727443i
\(446\) 29567.3 + 4456.56i 0.00703842 + 0.00106087i
\(447\) 5.81970e6 + 7.29767e6i 1.37763 + 1.72749i
\(448\) −136925. + 2.33687e6i −0.0322320 + 0.550098i
\(449\) −1.86813e6 + 2.34256e6i −0.437312 + 0.548373i −0.950833 0.309705i \(-0.899770\pi\)
0.513520 + 0.858077i \(0.328341\pi\)
\(450\) 3.40112e6 3.15578e6i 0.791755 0.734641i
\(451\) −1.26344e6 + 190433.i −0.292492 + 0.0440861i
\(452\) 712976. + 661545.i 0.164145 + 0.152305i
\(453\) −1.48595e6 1.01310e6i −0.340219 0.231957i
\(454\) −437156. + 1.91531e6i −0.0995399 + 0.436113i
\(455\) 2.19946e6 2.85204e6i 0.498067 0.645843i
\(456\) −1.12853e6 4.94442e6i −0.254157 1.11353i
\(457\) −353767. + 901383.i −0.0792367 + 0.201892i −0.965003 0.262241i \(-0.915539\pi\)
0.885766 + 0.464132i \(0.153634\pi\)
\(458\) 16142.4 215406.i 0.00359588 0.0479836i
\(459\) 3.68932e6 6.39008e6i 0.817362 1.41571i
\(460\) 460093. + 796904.i 0.101380 + 0.175595i
\(461\) 373431. 179835.i 0.0818385 0.0394113i −0.392517 0.919745i \(-0.628396\pi\)
0.474355 + 0.880334i \(0.342681\pi\)
\(462\) −358694. + 959568.i −0.0781843 + 0.209156i
\(463\) −2.09907e6 1.01086e6i −0.455067 0.219149i 0.192286 0.981339i \(-0.438410\pi\)
−0.647353 + 0.762190i \(0.724124\pi\)
\(464\) −216068. 2.88322e6i −0.0465902 0.621703i
\(465\) 1.36405e7 + 4.20753e6i 2.92548 + 0.902392i
\(466\) 949332. + 292830.i 0.202513 + 0.0624671i
\(467\) −78935.9 1.05333e6i −0.0167487 0.223496i −0.999297 0.0374888i \(-0.988064\pi\)
0.982548 0.186008i \(-0.0595549\pi\)
\(468\) −4.48779e6 2.16120e6i −0.947148 0.456122i
\(469\) −6.32110e6 + 6.05950e6i −1.32697 + 1.27205i
\(470\) 2.67400e6 1.28773e6i 0.558363 0.268893i
\(471\) −486823. 843203.i −0.101116 0.175138i
\(472\) 1.01589e6 1.75958e6i 0.209890 0.363541i
\(473\) 304652. 4.06530e6i 0.0626111 0.835487i
\(474\) −109510. + 279027.i −0.0223876 + 0.0570428i
\(475\) −2.11541e6 9.26822e6i −0.430191 1.88479i
\(476\) −758291. 3.08964e6i −0.153398 0.625015i
\(477\) −482869. + 2.11559e6i −0.0971703 + 0.425731i
\(478\) 2.22436e6 + 1.51654e6i 0.445281 + 0.303588i
\(479\) −6.54399e6 6.07193e6i −1.30318 1.20917i −0.963215 0.268733i \(-0.913395\pi\)
−0.339963 0.940439i \(-0.610415\pi\)
\(480\) −1.12380e7 + 1.69386e6i −2.22632 + 0.335564i
\(481\) −2.92802e6 + 2.71681e6i −0.577048 + 0.535422i
\(482\) −717014. + 899108.i −0.140576 + 0.176276i
\(483\) 1.23746e6 207165.i 0.241359 0.0404062i
\(484\) 2.39630e6 + 3.00487e6i 0.464974 + 0.583059i
\(485\) −228492. 34439.7i −0.0441080 0.00664821i
\(486\) −1.45794e6 + 994009.i −0.279995 + 0.190897i
\(487\) 2.57386e6 + 6.55808e6i 0.491770 + 1.25301i 0.934375 + 0.356292i \(0.115959\pi\)
−0.442605 + 0.896717i \(0.645946\pi\)
\(488\) 1.61216e6 497287.i 0.306450 0.0945273i
\(489\) −1.33436e6 −0.252349
\(490\) −2.24684e6 993295.i −0.422749 0.186891i
\(491\) 927559. 0.173635 0.0868176 0.996224i \(-0.472330\pi\)
0.0868176 + 0.996224i \(0.472330\pi\)
\(492\) −5.81867e6 + 1.79482e6i −1.08371 + 0.334279i
\(493\) 1.12238e6 + 2.85979e6i 0.207981 + 0.529928i
\(494\) 734128. 500520.i 0.135349 0.0922792i
\(495\) 8.76710e6 + 1.32143e6i 1.60821 + 0.242399i
\(496\) −2.70529e6 3.39233e6i −0.493753 0.619147i
\(497\) −2.14713e6 1.92818e6i −0.389912 0.350152i
\(498\) −720697. + 903726.i −0.130221 + 0.163291i
\(499\) −4.50667e6 + 4.18158e6i −0.810223 + 0.751777i −0.971983 0.235053i \(-0.924474\pi\)
0.161759 + 0.986830i \(0.448283\pi\)
\(500\) −5.54563e6 + 835869.i −0.992032 + 0.149525i
\(501\) −4.08698e6 3.79216e6i −0.727458 0.674983i
\(502\) −1.74567e6 1.19018e6i −0.309174 0.210791i
\(503\) −505244. + 2.21362e6i −0.0890391 + 0.390106i −0.999736 0.0229690i \(-0.992688\pi\)
0.910697 + 0.413075i \(0.135545\pi\)
\(504\) −1.46514e6 + 6.93776e6i −0.256924 + 1.21659i
\(505\) −2.24970e6 9.85659e6i −0.392552 1.71988i
\(506\) 34963.0 89084.4i 0.00607062 0.0154677i
\(507\) −588785. + 7.85678e6i −0.101727 + 1.35745i
\(508\) 562874. 974926.i 0.0967724 0.167615i
\(509\) −1.06511e6 1.84482e6i −0.182221 0.315616i 0.760416 0.649437i \(-0.224995\pi\)
−0.942637 + 0.333821i \(0.891662\pi\)
\(510\) 3.10333e6 1.49448e6i 0.528326 0.254429i
\(511\) 4.70154e6 + 3.09460e6i 0.796504 + 0.524267i
\(512\) 5.33706e6 + 2.57019e6i 0.899761 + 0.433302i
\(513\) 1.20659e6 + 1.61008e7i 0.202425 + 2.70118i
\(514\) 2.55829e6 + 789128.i 0.427112 + 0.131747i
\(515\) −7.93925e6 2.44893e6i −1.31905 0.406873i
\(516\) −1.45188e6 1.93740e7i −0.240053 3.20328i
\(517\) 3.19440e6 + 1.53834e6i 0.525610 + 0.253120i
\(518\) 2.27571e6 + 1.49790e6i 0.372643 + 0.245277i
\(519\) 809067. 389626.i 0.131846 0.0634935i
\(520\) −1.36618e6 2.36630e6i −0.221564 0.383761i
\(521\) −3.38091e6 + 5.85591e6i −0.545682 + 0.945148i 0.452882 + 0.891570i \(0.350396\pi\)
−0.998564 + 0.0535779i \(0.982937\pi\)
\(522\) 245182. 3.27173e6i 0.0393834 0.525534i
\(523\) −3.58174e6 + 9.12613e6i −0.572585 + 1.45892i 0.291991 + 0.956421i \(0.405682\pi\)
−0.864576 + 0.502502i \(0.832413\pi\)
\(524\) −745756. 3.26737e6i −0.118650 0.519840i
\(525\) −3.94645e6 + 1.86872e7i −0.624897 + 2.95901i
\(526\) 563703. 2.46974e6i 0.0888354 0.389213i
\(527\) 3.80925e6 + 2.59710e6i 0.597466 + 0.407345i
\(528\) −2.83878e6 2.63401e6i −0.443146 0.411180i
\(529\) 6.24855e6 941818.i 0.970823 0.146328i
\(530\) −418095. + 387935.i −0.0646525 + 0.0599887i
\(531\) −7.16288e6 + 8.98197e6i −1.10243 + 1.38241i
\(532\) 5.17944e6 + 4.65128e6i 0.793421 + 0.712514i
\(533\) −1.38819e6 1.74073e6i −0.211656 0.265408i
\(534\) −2.64380e6 398488.i −0.401213 0.0604731i
\(535\) −4.39808e6 + 2.99856e6i −0.664323 + 0.452928i
\(536\) 2.42695e6 + 6.18377e6i 0.364879 + 0.929697i
\(537\) 1.88958e7 5.82859e6i 2.82768 0.872224i
\(538\) 2.33240e6 0.347414
\(539\) −745794. 2.83836e6i −0.110572 0.420820i
\(540\) 2.37903e7 3.51088
\(541\) −794687. + 245129.i −0.116736 + 0.0360081i −0.352573 0.935784i \(-0.614693\pi\)
0.235837 + 0.971793i \(0.424217\pi\)
\(542\) 291428. + 742547.i 0.0426121 + 0.108574i
\(543\) 1.76778e6 1.20525e6i 0.257293 0.175420i
\(544\) −3.62960e6 547074.i −0.525849 0.0792590i
\(545\) −8.91769e6 1.11824e7i −1.28606 1.61267i
\(546\) −1.76060e6 + 294744.i −0.252743 + 0.0423120i
\(547\) −6.74668e6 + 8.46007e6i −0.964099 + 1.20894i 0.0138085 + 0.999905i \(0.495604\pi\)
−0.977908 + 0.209037i \(0.932967\pi\)
\(548\) −3.15621e6 + 2.92853e6i −0.448967 + 0.416581i
\(549\) −9.43296e6 + 1.42179e6i −1.33573 + 0.201328i
\(550\) 1.06790e6 + 990870.i 0.150531 + 0.139672i
\(551\) −5.55438e6 3.78691e6i −0.779393 0.531381i
\(552\) 211808. 927993.i 0.0295866 0.129628i
\(553\) −204678. 833955.i −0.0284615 0.115966i
\(554\) 183.773 + 805.162i 2.54394e−5 + 0.000111457i
\(555\) 1.23788e7 3.15406e7i 1.70586 4.34647i
\(556\) 469075. 6.25938e6i 0.0643510 0.858705i
\(557\) 728093. 1.26109e6i 0.0994371 0.172230i −0.812015 0.583637i \(-0.801629\pi\)
0.911452 + 0.411407i \(0.134962\pi\)
\(558\) −2.46181e6 4.26398e6i −0.334710 0.579735i
\(559\) 6.40035e6 3.08224e6i 0.866311 0.417194i
\(560\) 6.70387e6 6.42644e6i 0.903350 0.865965i
\(561\) 3.70729e6 + 1.78534e6i 0.497335 + 0.239504i
\(562\) −165208. 2.20455e6i −0.0220643 0.294428i
\(563\) 3.59992e6 + 1.11043e6i 0.478654 + 0.147645i 0.524688 0.851295i \(-0.324182\pi\)
−0.0460338 + 0.998940i \(0.514658\pi\)
\(564\) 1.61462e7 + 4.98045e6i 2.13734 + 0.659281i
\(565\) −225441. 3.00830e6i −0.0297106 0.396460i
\(566\) −1.11294e6 535962.i −0.146026 0.0703223i
\(567\) 5.22384e6 1.39746e7i 0.682389 1.82551i
\(568\) −1.97251e6 + 949913.i −0.256537 + 0.123542i
\(569\) −3.98342e6 6.89949e6i −0.515793 0.893380i −0.999832 0.0183332i \(-0.994164\pi\)
0.484039 0.875046i \(-0.339169\pi\)
\(570\) −3.76856e6 + 6.52733e6i −0.485834 + 0.841489i
\(571\) 884134. 1.17979e7i 0.113482 1.51431i −0.592203 0.805789i \(-0.701742\pi\)
0.705685 0.708526i \(-0.250639\pi\)
\(572\) 571388. 1.45587e6i 0.0730199 0.186052i
\(573\) 4.77866e6 + 2.09367e7i 0.608022 + 2.66392i
\(574\) −927412. + 1.20257e6i −0.117488 + 0.152346i
\(575\) 397031. 1.73951e6i 0.0500789 0.219410i
\(576\) −8.29668e6 5.65658e6i −1.04195 0.710392i
\(577\) 1.06769e7 + 9.90676e6i 1.33508 + 1.23877i 0.948600 + 0.316476i \(0.102500\pi\)
0.386480 + 0.922298i \(0.373691\pi\)
\(578\) −1.14756e6 + 172967.i −0.142875 + 0.0215349i
\(579\) −1.15599e7 + 1.07260e7i −1.43304 + 1.32966i
\(580\) −6.17586e6 + 7.74428e6i −0.762302 + 0.955897i
\(581\) 193693. 3.30573e6i 0.0238053 0.406281i
\(582\) 71407.2 + 89541.8i 0.00873845 + 0.0109577i
\(583\) −673737. 101550.i −0.0820955 0.0123739i
\(584\) 3.52813e6 2.40544e6i 0.428068 0.291852i
\(585\) 5.64440e6 + 1.43817e7i 0.681912 + 1.73748i
\(586\) 1.26099e6 388963.i 0.151693 0.0467912i
\(587\) −1.63591e7 −1.95959 −0.979796 0.200001i \(-0.935905\pi\)
−0.979796 + 0.200001i \(0.935905\pi\)
\(588\) −5.53060e6 1.28460e7i −0.659673 1.53223i
\(589\) −1.00884e7 −1.19821
\(590\) −2.88539e6 + 890024.i −0.341251 + 0.105262i
\(591\) −7.31999e6 1.86510e7i −0.862069 2.19652i
\(592\) −8.50948e6 + 5.80166e6i −0.997927 + 0.680375i
\(593\) 5.37988e6 + 810886.i 0.628255 + 0.0946942i 0.455449 0.890262i \(-0.349479\pi\)
0.172806 + 0.984956i \(0.444717\pi\)
\(594\) −1.54264e6 1.93441e6i −0.179391 0.224949i
\(595\) −4.79403e6 + 8.62464e6i −0.555147 + 0.998731i
\(596\) −6.06029e6 + 7.59936e6i −0.698840 + 0.876317i
\(597\) −3.28693e6 + 3.04983e6i −0.377446 + 0.350219i
\(598\) 164899. 24854.5i 0.0188567 0.00284219i
\(599\) 4.21567e6 + 3.91157e6i 0.480064 + 0.445434i 0.882708 0.469923i \(-0.155718\pi\)
−0.402644 + 0.915357i \(0.631909\pi\)
\(600\) 1.19719e7 + 8.16233e6i 1.35765 + 0.925627i
\(601\) 2.04822e6 8.97383e6i 0.231308 1.01343i −0.717249 0.696817i \(-0.754599\pi\)
0.948556 0.316608i \(-0.102544\pi\)
\(602\) −3.08231e6 3.73863e6i −0.346645 0.420457i
\(603\) −8.35823e6 3.66198e7i −0.936097 4.10131i
\(604\) 684210. 1.74334e6i 0.0763127 0.194442i
\(605\) 890851. 1.18876e7i 0.0989502 1.32040i
\(606\) −2.50546e6 + 4.33958e6i −0.277144 + 0.480027i
\(607\) 1.93820e6 + 3.35705e6i 0.213514 + 0.369817i 0.952812 0.303562i \(-0.0981758\pi\)
−0.739298 + 0.673378i \(0.764842\pi\)
\(608\) 7.23658e6 3.48495e6i 0.793916 0.382330i
\(609\) 6.94243e6 + 1.15851e7i 0.758522 + 1.26577i
\(610\) −2.25901e6 1.08788e6i −0.245806 0.118374i
\(611\) 461701. + 6.16097e6i 0.0500331 + 0.667646i
\(612\) 1.30405e7 + 4.02245e6i 1.40739 + 0.434122i
\(613\) 1.40529e6 + 433473.i 0.151047 + 0.0465920i 0.369357 0.929288i \(-0.379578\pi\)
−0.218309 + 0.975880i \(0.570054\pi\)
\(614\) −197744. 2.63871e6i −0.0211681 0.282469i
\(615\) 1.70164e7 + 8.19465e6i 1.81417 + 0.873661i
\(616\) −2.20665e6 295959.i −0.234305 0.0314253i
\(617\) 1.09635e7 5.27973e6i 1.15941 0.558340i 0.247560 0.968873i \(-0.420371\pi\)
0.911846 + 0.410532i \(0.134657\pi\)
\(618\) 2.05896e6 + 3.56623e6i 0.216859 + 0.375611i
\(619\) 1.06378e6 1.84252e6i 0.111590 0.193280i −0.804821 0.593517i \(-0.797739\pi\)
0.916412 + 0.400237i \(0.131072\pi\)
\(620\) −1.11085e6 + 1.48232e7i −0.116058 + 1.54869i
\(621\) −1.10711e6 + 2.82087e6i −0.115203 + 0.293531i
\(622\) 188628. + 826432.i 0.0195492 + 0.0856507i
\(623\) 6.84588e6 3.43514e6i 0.706658 0.354589i
\(624\) 1.50160e6 6.57893e6i 0.154380 0.676385i
\(625\) 916156. + 624625.i 0.0938144 + 0.0639616i
\(626\) 61925.6 + 57458.6i 0.00631589 + 0.00586029i
\(627\) −8.90339e6 + 1.34197e6i −0.904454 + 0.136325i
\(628\) 743240. 689626.i 0.0752021 0.0697773i
\(629\) 6.82301e6 8.55578e6i 0.687621 0.862249i
\(630\) 8.60912e6 6.07714e6i 0.864186 0.610026i
\(631\) 1.33986e6 + 1.68013e6i 0.133963 + 0.167984i 0.844288 0.535889i \(-0.180024\pi\)
−0.710325 + 0.703874i \(0.751452\pi\)
\(632\) −644176. 97094.0i −0.0641523 0.00966940i
\(633\) −1.12544e7 + 7.67311e6i −1.11638 + 0.761136i
\(634\) 1.30150e6 + 3.31617e6i 0.128594 + 0.327652i
\(635\) −3.33658e6 + 1.02920e6i −0.328373 + 0.101290i
\(636\) −3.24710e6 −0.318312
\(637\) 3.63356e6 3.59847e6i 0.354800 0.351374i
\(638\) 1.03016e6 0.100196
\(639\) 1.18292e7 3.64882e6i 1.14605 0.353509i
\(640\) −5.66438e6 1.44326e7i −0.546642 1.39282i
\(641\) 1.41233e7 9.62910e6i 1.35766 0.925637i 0.357694 0.933839i \(-0.383563\pi\)
0.999966 + 0.00820219i \(0.00261087\pi\)
\(642\) 2.60881e6 + 393215.i 0.249807 + 0.0376524i
\(643\) 4.80145e6 + 6.02083e6i 0.457978 + 0.574287i 0.956182 0.292773i \(-0.0945782\pi\)
−0.498203 + 0.867060i \(0.666007\pi\)
\(644\) 497065. + 1.20830e6i 0.0472279 + 0.114805i
\(645\) −3.75718e7 + 4.71135e7i −3.55601 + 4.45909i
\(646\) −1.78446e6 + 1.65574e6i −0.168239 + 0.156103i
\(647\) −1.33507e6 + 201229.i −0.125384 + 0.0188986i −0.211435 0.977392i \(-0.567814\pi\)
0.0860503 + 0.996291i \(0.472575\pi\)
\(648\) −8.29690e6 7.69840e6i −0.776209 0.720216i
\(649\) −2.98040e6 2.03200e6i −0.277755 0.189370i
\(650\) −564877. + 2.47489e6i −0.0524409 + 0.229759i
\(651\) 1.84018e7 + 8.49575e6i 1.70180 + 0.785687i
\(652\) −309199. 1.35469e6i −0.0284852 0.124802i
\(653\) −3.90832e6 + 9.95823e6i −0.358680 + 0.913901i 0.631661 + 0.775245i \(0.282374\pi\)
−0.990341 + 0.138656i \(0.955722\pi\)
\(654\) −529763. + 7.06919e6i −0.0484325 + 0.646287i
\(655\) −5.19748e6 + 9.00229e6i −0.473357 + 0.819879i
\(656\) −2.87042e6 4.97172e6i −0.260427 0.451073i
\(657\) −2.17535e7 + 1.04759e7i −1.96615 + 0.946847i
\(658\) 4.00611e6 1.30748e6i 0.360710 0.117726i
\(659\) 1.38531e6 + 667129.i 0.124260 + 0.0598406i 0.494981 0.868904i \(-0.335175\pi\)
−0.370721 + 0.928744i \(0.620889\pi\)
\(660\) 991441. + 1.32299e7i 0.0885946 + 1.18221i
\(661\) 1.00750e7 + 3.10772e6i 0.896894 + 0.276655i 0.708728 0.705482i \(-0.249269\pi\)
0.188166 + 0.982137i \(0.439746\pi\)
\(662\) 2.37645e6 + 733039.i 0.210758 + 0.0650103i
\(663\) 535830. + 7.15016e6i 0.0473417 + 0.631731i
\(664\) −2.26339e6 1.08999e6i −0.199223 0.0959409i
\(665\) −1.96374e6 2.15025e7i −0.172199 1.88554i
\(666\) −1.05295e7 + 5.07073e6i −0.919858 + 0.442980i
\(667\) −630855. 1.09267e6i −0.0549054 0.0950990i
\(668\) 2.90289e6 5.02795e6i 0.251703 0.435963i
\(669\) 39458.3 526534.i 0.00340858 0.0454843i
\(670\) 3.60681e6 9.19000e6i 0.310410 0.790913i
\(671\) −666511. 2.92017e6i −0.0571480 0.250382i
\(672\) −1.61347e7 + 262593.i −1.37828 + 0.0224316i
\(673\) −1.97907e6 + 8.67086e6i −0.168431 + 0.737946i 0.818194 + 0.574942i \(0.194975\pi\)
−0.986625 + 0.163004i \(0.947882\pi\)
\(674\) 2.50890e6 + 1.71054e6i 0.212732 + 0.145038i
\(675\) −3.38154e7 3.13761e7i −2.85663 2.65057i
\(676\) −8.11289e6 + 1.22282e6i −0.682824 + 0.102919i
\(677\) 916331. 850231.i 0.0768388 0.0712960i −0.640819 0.767692i \(-0.721405\pi\)
0.717657 + 0.696396i \(0.245214\pi\)
\(678\) −932243. + 1.16900e6i −0.0778852 + 0.0976649i
\(679\) −315052. 91593.3i −0.0262245 0.00762411i
\(680\) 4.66739e6 + 5.85273e6i 0.387081 + 0.485385i
\(681\) 3.43036e7 + 5.17044e6i 2.83447 + 0.427228i
\(682\) 1.27732e6 870862.i 0.105157 0.0716950i
\(683\) −7.26718e6 1.85165e7i −0.596094 1.51882i −0.836397 0.548124i \(-0.815342\pi\)
0.240304 0.970698i \(-0.422753\pi\)
\(684\) −2.85351e7 + 8.80192e6i −2.33206 + 0.719345i
\(685\) 1.33545e7 1.08743
\(686\) −2.97445e6 1.82192e6i −0.241322 0.147816i
\(687\) −3.81439e6 −0.308343
\(688\) 1.75031e7 5.39899e6i 1.40976 0.434852i
\(689\) −433763. 1.10521e6i −0.0348100 0.0886945i
\(690\) −1.16880e6 + 796875.i −0.0934582 + 0.0637188i
\(691\) 1.38419e7 + 2.08633e6i 1.10281 + 0.166222i 0.675123 0.737705i \(-0.264091\pi\)
0.427687 + 0.903927i \(0.359329\pi\)
\(692\) 583038. + 731106.i 0.0462840 + 0.0580384i
\(693\) 1.20883e7 + 3.51437e6i 0.956165 + 0.277981i
\(694\) 1.26249e6 1.58311e6i 0.0995016 0.124771i
\(695\) −1.42718e7 + 1.32423e7i −1.12077 + 1.03992i
\(696\) 1.01318e7 1.52712e6i 0.792801 0.119495i
\(697\) 4.47157e6 + 4.14901e6i 0.348640 + 0.323491i
\(698\) −1.56829e6 1.06924e6i −0.121839 0.0830687i
\(699\) 3.90371e6 1.71033e7i 0.302193 1.32400i
\(700\) −1.98864e7 + 323650.i −1.53395 + 0.0249650i
\(701\) 2.11941e6 + 9.28572e6i 0.162899 + 0.713708i 0.988720 + 0.149776i \(0.0478551\pi\)
−0.825821 + 0.563933i \(0.809288\pi\)
\(702\) 1.57514e6 4.01340e6i 0.120636 0.307376i
\(703\) −1.78949e6 + 2.38791e7i −0.136565 + 1.82234i
\(704\) 1.57645e6 2.73048e6i 0.119880 0.207639i
\(705\) −2.62044e7 4.53873e7i −1.98564 3.43923i
\(706\) −2.80627e6 + 1.35143e6i −0.211893 + 0.102043i
\(707\) −1.30556e6 1.42956e7i −0.0982308 1.07561i
\(708\) −1.54884e7 7.45880e6i −1.16124 0.559224i
\(709\) 534295. + 7.12966e6i 0.0399177 + 0.532664i 0.980939 + 0.194317i \(0.0622489\pi\)
−0.941021 + 0.338348i \(0.890132\pi\)
\(710\) 3.10911e6 + 959035.i 0.231468 + 0.0713984i
\(711\) 3.51988e6 + 1.08574e6i 0.261128 + 0.0805473i
\(712\) −434239. 5.79452e6i −0.0321018 0.428368i
\(713\) −1.70593e6 821531.i −0.125671 0.0605202i
\(714\) 4.64932e6 1.51741e6i 0.341306 0.111393i
\(715\) −4.37058e6 + 2.10476e6i −0.319723 + 0.153971i
\(716\) 1.02959e7 + 1.78330e7i 0.750555 + 1.30000i
\(717\) 2.37696e7 4.11701e7i 1.72673 2.99078i
\(718\) −39763.1 + 530601.i −0.00287852 + 0.0384111i
\(719\) −7.96130e6 + 2.02851e7i −0.574330 + 1.46337i 0.288303 + 0.957539i \(0.406909\pi\)
−0.862633 + 0.505830i \(0.831186\pi\)
\(720\) 8.86437e6 + 3.88373e7i 0.637260 + 2.79202i
\(721\) −1.07105e7 4.94483e6i −0.767311 0.354253i
\(722\) 303260. 1.32867e6i 0.0216507 0.0948581i
\(723\) 1.67786e7 + 1.14395e7i 1.19374 + 0.813880i
\(724\) 1.63324e6 + 1.51543e6i 0.115799 + 0.107445i
\(725\) 1.89919e7 2.86257e6i 1.34191 0.202260i
\(726\) −4.33119e6 + 4.01875e6i −0.304976 + 0.282976i
\(727\) −1.27997e7 + 1.60504e7i −0.898183 + 1.12629i 0.0932466 + 0.995643i \(0.470276\pi\)
−0.991430 + 0.130643i \(0.958296\pi\)
\(728\) −1.47597e6 3.58790e6i −0.103216 0.250906i
\(729\) 1.99207e6 + 2.49798e6i 0.138831 + 0.174089i
\(730\) −6.27514e6 945825.i −0.435829 0.0656906i
\(731\) −1.60807e7 + 1.09637e7i −1.11304 + 0.758861i
\(732\) −5.21509e6 1.32878e7i −0.359736 0.916593i
\(733\) 2.11241e7 6.51593e6i 1.45217 0.447936i 0.534465 0.845191i \(-0.320513\pi\)
0.917709 + 0.397254i \(0.130037\pi\)
\(734\) 5.14708e6 0.352631
\(735\) −1.45260e7 + 4.08756e7i −0.991810 + 2.79091i
\(736\) 1.50749e6 0.102579
\(737\) 1.12698e7 3.47628e6i 0.764273 0.235747i
\(738\) −2.37998e6 6.06410e6i −0.160854 0.409850i
\(739\) −6.82534e6 + 4.65344e6i −0.459741 + 0.313446i −0.770950 0.636895i \(-0.780218\pi\)
0.311209 + 0.950341i \(0.399266\pi\)
\(740\) 3.48894e7 + 5.25873e6i 2.34215 + 0.353022i
\(741\) −9.78246e6 1.22668e7i −0.654489 0.820704i
\(742\) −661596. + 467018.i −0.0441147 + 0.0311404i
\(743\) 1.06720e7 1.33822e7i 0.709207 0.889317i −0.288467 0.957490i \(-0.593146\pi\)
0.997674 + 0.0681730i \(0.0217170\pi\)
\(744\) 1.12717e7 1.04586e7i 0.746549 0.692696i
\(745\) 2.98114e7 4.49335e6i 1.96785 0.296606i
\(746\) −750228. 696110.i −0.0493567 0.0457963i
\(747\) 1.17365e7 + 8.00178e6i 0.769547 + 0.524669i
\(748\) −953477. + 4.17745e6i −0.0623098 + 0.272997i
\(749\) −6.75529e6 + 3.38968e6i −0.439986 + 0.220777i
\(750\) −1.91849e6 8.40545e6i −0.124539 0.545642i
\(751\) 382456. 974482.i 0.0247447 0.0630484i −0.917967 0.396656i \(-0.870171\pi\)
0.942712 + 0.333607i \(0.108266\pi\)
\(752\) −1.19047e6 + 1.58857e7i −0.0767668 + 1.02438i
\(753\) −1.86543e7 + 3.23102e7i −1.19892 + 2.07660i
\(754\) 897550. + 1.55460e6i 0.0574950 + 0.0995843i
\(755\) −5.23356e6 + 2.52035e6i −0.334141 + 0.160914i
\(756\) 3.34796e7 + 4.49034e6i 2.13047 + 0.285743i
\(757\) 4.76714e6 + 2.29574e6i 0.302356 + 0.145607i 0.578910 0.815391i \(-0.303478\pi\)
−0.276554 + 0.960998i \(0.589192\pi\)
\(758\) 445587. + 5.94594e6i 0.0281682 + 0.375879i
\(759\) −1.61483e6 498109.i −0.101747 0.0313849i
\(760\) −1.56529e7 4.82829e6i −0.983019 0.303221i
\(761\) 1.04395e6 + <