Properties

Label 49.6.g.a.2.10
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 2.10
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.10

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52973 0.471861i −0.270421 0.0834140i 0.156579 0.987665i \(-0.449953\pi\)
−0.427000 + 0.904252i \(0.640430\pi\)
\(3\) 10.3277 26.3145i 0.662522 1.68808i −0.0613261 0.998118i \(-0.519533\pi\)
0.723848 0.689960i \(-0.242372\pi\)
\(4\) −24.3222 16.5826i −0.760069 0.518206i
\(5\) 90.2851 13.6083i 1.61507 0.243433i 0.721519 0.692395i \(-0.243444\pi\)
0.893551 + 0.448962i \(0.148206\pi\)
\(6\) −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 −0.823359 0.567521i \(-0.807902\pi\)
0.504405 + 0.863467i \(0.331712\pi\)
\(12\) −687.555 + 468.767i −1.37833 + 0.939732i
\(13\) 67.7066 + 296.642i 0.111115 + 0.486827i 0.999610 + 0.0279396i \(0.00889461\pi\)
−0.888495 + 0.458887i \(0.848248\pi\)
\(14\) −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 −0.960347 0.278809i \(-0.910061\pi\)
0.908066 0.418827i \(-0.137559\pi\)
\(18\) 445.130 + 770.988i 0.323822 + 0.560876i
\(19\) −912.061 + 1579.74i −0.579615 + 1.00392i 0.415908 + 0.909407i \(0.363464\pi\)
−0.995523 + 0.0945163i \(0.969870\pi\)
\(20\) −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 −0.999974 0.00727484i \(-0.997684\pi\)
0.989889 + 0.141845i \(0.0453034\pi\)
\(24\) 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 0.762921 0.646492i \(-0.223764\pi\)
−0.0297740 + 0.999557i \(0.509479\pi\)
\(30\) −2065.96 + 3578.34i −0.419100 + 0.725903i
\(31\) 2765.27 + 4789.58i 0.516812 + 0.895145i 0.999809 + 0.0195233i \(0.00621484\pi\)
−0.482997 + 0.875622i \(0.660452\pi\)
\(32\) −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 −0.997921 0.0644482i \(-0.979471\pi\)
−0.304588 + 0.952484i \(0.598519\pi\)
\(38\) 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 0.947211 0.320610i \(-0.103888\pi\)
−0.523346 + 0.852120i \(0.675316\pi\)
\(42\) −2231.97 + 5425.66i −0.195239 + 0.474602i
\(43\) 14556.7 18253.5i 1.20058 1.50548i 0.389005 0.921236i \(-0.372819\pi\)
0.811577 0.584246i \(-0.198610\pi\)
\(44\) 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 −0.421901 0.906642i \(-0.638637\pi\)
−0.859320 + 0.511438i \(0.829113\pi\)
\(48\) 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 0.639578 0.768726i \(-0.279109\pi\)
−0.481923 + 0.876214i \(0.660061\pi\)
\(54\) 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 0.519465 0.854492i \(-0.326131\pi\)
0.244521 + 0.969644i \(0.421369\pi\)
\(60\) −55696.9 + 51679.2i −1.99734 + 1.85326i
\(61\) 14173.2 9663.10i 0.487688 0.332500i −0.294385 0.955687i \(-0.595115\pi\)
0.782073 + 0.623187i \(0.214162\pi\)
\(62\) −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 −0.800789 0.598946i \(-0.795586\pi\)
−0.118308 0.992977i \(-0.537747\pi\)
\(68\) −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 −0.654804 0.755798i \(-0.727249\pi\)
0.182643 + 0.983179i \(0.441535\pi\)
\(72\) 4087.38 54542.2i 0.0929209 1.23994i
\(73\) 41487.6 12797.2i 0.911195 0.281066i 0.196501 0.980504i \(-0.437042\pi\)
0.714694 + 0.699437i \(0.246566\pi\)
\(74\) 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 −0.894332 0.447403i \(-0.852349\pi\)
0.834629 + 0.550813i \(0.185682\pi\)
\(80\) 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 −0.999810 0.0194779i \(-0.993800\pi\)
0.909249 + 0.416252i \(0.136657\pi\)
\(84\) −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 0.914556 0.404458i \(-0.132540\pi\)
−0.334982 + 0.942224i \(0.608730\pi\)
\(90\) 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 0.586160 + 0.810195i \(0.300639\pi\)
−0.980759 + 0.195225i \(0.937456\pi\)
\(102\) 31169.5 + 21251.0i 0.296639 + 0.202245i
\(103\) −89979.5 + 13562.2i −0.835700 + 0.125961i −0.552931 0.833227i \(-0.686491\pi\)
−0.282768 + 0.959188i \(0.591253\pi\)
\(104\) −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 0.478817 0.877915i \(-0.341066\pi\)
−0.839678 + 0.543085i \(0.817256\pi\)
\(108\) 257649. + 38834.3i 2.12554 + 0.320374i
\(109\) −114832. + 106549.i −0.925758 + 0.858978i −0.990301 0.138937i \(-0.955631\pi\)
0.0645433 + 0.997915i \(0.479441\pi\)
\(110\) 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 −0.994763 0.102211i \(-0.967408\pi\)
0.940598 + 0.339523i \(0.110265\pi\)
\(114\) −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 0.336697 0.941613i \(-0.390690\pi\)
−0.526256 + 0.850326i \(0.676405\pi\)
\(128\) −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 0.785042 0.619442i \(-0.212641\pi\)
−0.996804 + 0.0798810i \(0.974546\pi\)
\(132\) 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 0.469715 0.882818i \(-0.344357\pi\)
0.188631 + 0.982048i \(0.439595\pi\)
\(138\) −11357.3 10538.0i −0.0507665 0.0471045i
\(139\) −132947. 166710.i −0.583636 0.731856i 0.399092 0.916911i \(-0.369325\pi\)
−0.982728 + 0.185054i \(0.940754\pi\)
\(140\) −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 0.815892 0.578205i \(-0.196246\pi\)
0.348407 + 0.937343i \(0.386723\pi\)
\(150\) −86164.0 + 219542.i −0.312678 + 0.796691i
\(151\) −52565.3 35838.4i −0.187610 0.127911i 0.465873 0.884852i \(-0.345741\pi\)
−0.653483 + 0.756941i \(0.726693\pi\)
\(152\) −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 0.0936738 0.995603i \(-0.470139\pi\)
−0.203947 + 0.978982i \(0.565377\pi\)
\(158\) 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 0.903198 0.429224i \(-0.141213\pi\)
−0.954037 + 0.299688i \(0.903118\pi\)
\(164\) −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 0.170807 0.985305i \(-0.445363\pi\)
−0.663846 + 0.747869i \(0.731077\pi\)
\(168\) 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 −0.999407 0.0344338i \(-0.989037\pi\)
0.993377 + 0.114905i \(0.0366563\pi\)
\(174\) −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 0.637553 + 0.770406i \(0.279947\pi\)
−0.515609 + 0.856824i \(0.672434\pi\)
\(180\) 546078. + 1.39138e6i 1.25624 + 3.20086i
\(181\) −16841.8 + 73788.8i −0.0382113 + 0.167415i −0.990433 0.137992i \(-0.955935\pi\)
0.952222 + 0.305407i \(0.0987924\pi\)
\(182\) −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 0.646963 0.762521i \(-0.276039\pi\)
0.842977 + 0.537949i \(0.180801\pi\)
\(192\) −421740. 287537.i −0.825641 0.562913i
\(193\) 203804. 519284.i 0.393840 1.00349i −0.587159 0.809472i \(-0.699754\pi\)
0.980999 0.194015i \(-0.0621511\pi\)
\(194\) 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 −0.869579 0.493794i \(-0.835610\pi\)
0.973312 + 0.229487i \(0.0737048\pi\)
\(200\) 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 −0.821850 0.569704i \(-0.807058\pi\)
0.987646 0.156699i \(-0.0500852\pi\)
\(212\) −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 −0.445180 0.895441i \(-0.646860\pi\)
0.422519 + 0.906354i \(0.361146\pi\)
\(224\) −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 0.925751 + 0.378134i \(0.123434\pi\)
−0.135402 + 0.990791i \(0.543233\pi\)
\(228\) −113436. 1.51370e6i −0.144515 1.92842i
\(229\) −49296.8 125606.i −0.0621199 0.158279i 0.896444 0.443158i \(-0.146142\pi\)
−0.958564 + 0.284879i \(0.908047\pi\)
\(230\) 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 −0.831716 0.555201i \(-0.812641\pi\)
0.212962 + 0.977060i \(0.431689\pi\)
\(234\) −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 −0.354814 + 0.934937i \(0.615456\pi\)
−0.832543 + 0.553961i \(0.813116\pi\)
\(240\) 2.00234e6 301805.i 2.24394 0.338219i
\(241\) 593543. + 404670.i 0.658278 + 0.448806i 0.845833 0.533448i \(-0.179104\pi\)
−0.187555 + 0.982254i \(0.560056\pi\)
\(242\) 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 −0.174372 0.984680i \(-0.555790\pi\)
0.998793 0.0491117i \(-0.0156390\pi\)
\(252\) 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 −0.998075 0.0620111i \(-0.980249\pi\)
−0.306913 + 0.951737i \(0.599296\pi\)
\(258\) 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 −0.966563 0.256428i \(-0.917454\pi\)
0.261208 0.965282i \(-0.415879\pi\)
\(264\) −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 −0.819243 0.573447i \(-0.805606\pi\)
−0.353856 + 0.935300i \(0.615130\pi\)
\(270\) 1.23629e6 381344.i 1.03207 0.318352i
\(271\) −37237.1 + 496895.i −0.0308002 + 0.411000i 0.960400 + 0.278626i \(0.0898790\pi\)
−0.991200 + 0.132374i \(0.957740\pi\)
\(272\) 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 0.997219 0.0745287i \(-0.0237452\pi\)
−0.997189 + 0.0749315i \(0.976126\pi\)
\(278\) 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 −0.947843 0.318736i \(-0.896742\pi\)
0.715683 0.698425i \(-0.246116\pi\)
\(282\) 759220. 517627.i 0.568519 0.387609i
\(283\) 565644. 524841.i 0.419834 0.389549i −0.441772 0.897128i \(-0.645650\pi\)
0.861605 + 0.507579i \(0.169459\pi\)
\(284\) 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 −0.955412 0.295276i \(-0.904588\pi\)
0.732681 0.680572i \(-0.238269\pi\)
\(308\) 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 0.996717 + 0.0809630i \(0.0257995\pi\)
−0.973518 + 0.228612i \(0.926581\pi\)
\(312\) 422979. + 732622.i 0.245999 + 0.426082i
\(313\) −26384.8 + 45699.8i −0.0152227 + 0.0263666i −0.873536 0.486759i \(-0.838179\pi\)
0.858314 + 0.513125i \(0.171512\pi\)
\(314\) 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 0.734439 + 0.678675i \(0.237446\pi\)
−0.827387 + 0.561632i \(0.810174\pi\)
\(318\) −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 −0.840761 0.541406i \(-0.817892\pi\)
0.196816 + 0.980440i \(0.436940\pi\)
\(332\) 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 −0.979881 0.199584i \(-0.936041\pi\)
0.412624 + 0.910901i \(0.364612\pi\)
\(338\) −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 0.307494 0.951550i \(-0.400510\pi\)
−0.773433 + 0.633878i \(0.781462\pi\)
\(348\) −3.03250e6 + 457075.i −1.34231 + 0.202320i
\(349\) 739261. 927004.i 0.324888 0.407397i −0.592385 0.805655i \(-0.701814\pi\)
0.917274 + 0.398258i \(0.130385\pi\)
\(350\) −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 0.546453 0.837490i \(-0.315978\pi\)
0.275321 + 0.961352i \(0.411216\pi\)
\(354\) −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 0.953579 0.301143i \(-0.0973680\pi\)
−0.903852 + 0.427845i \(0.859273\pi\)
\(360\) −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 −0.825912 0.563799i \(-0.809339\pi\)
−0.364801 + 0.931085i \(0.618863\pi\)
\(368\) −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 −0.800395 0.599473i \(-0.795377\pi\)
0.919356 + 0.393426i \(0.128710\pi\)
\(374\) −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 0.875466 + 0.483280i \(0.160555\pi\)
−0.579080 + 0.815271i \(0.696588\pi\)
\(380\) 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 0.802140 0.597136i \(-0.203695\pi\)
−0.535522 + 0.844521i \(0.679885\pi\)
\(384\) 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 0.0987098 + 0.995116i \(0.468528\pi\)
−0.749210 + 0.662332i \(0.769567\pi\)
\(390\) −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 0.819234 0.573459i \(-0.194399\pi\)
0.951868 + 0.306508i \(0.0991607\pi\)
\(398\) −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 0.201321 0.979525i \(-0.435477\pi\)
−0.961742 + 0.273958i \(0.911667\pi\)
\(402\) 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 −0.994925 0.100618i \(-0.967918\pi\)
0.968816 0.247780i \(-0.0797009\pi\)
\(410\) −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 0.182761 0.983157i \(-0.441497\pi\)
0.882613 + 0.470100i \(0.155782\pi\)
\(420\) −5.06322e6 + 8.44918e6i −1.40057 + 2.33718i
\(421\) 700850. + 337512.i 0.192717 + 0.0928076i 0.527754 0.849397i \(-0.323034\pi\)
−0.335037 + 0.942205i \(0.608749\pi\)
\(422\) −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 0.310241 0.950658i \(-0.399590\pi\)
0.0162466 + 0.999868i \(0.494828\pi\)
\(432\) −5.09051e6 4.72331e6i −1.31236 1.21769i
\(433\) 728191. + 913123.i 0.186649 + 0.234050i 0.866348 0.499441i \(-0.166461\pi\)
−0.679699 + 0.733491i \(0.737890\pi\)
\(434\) −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 −0.319332 0.947643i \(-0.603458\pi\)
−0.797671 + 0.603093i \(0.793935\pi\)
\(440\) −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 0.313910 0.949453i \(-0.398361\pi\)
−0.275481 + 0.961306i \(0.588837\pi\)
\(444\) 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 0.513520 0.858077i \(-0.328341\pi\)
−0.950833 + 0.309705i \(0.899770\pi\)
\(450\) 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 0.885766 0.464132i \(-0.153634\pi\)
−0.965003 + 0.262241i \(0.915539\pi\)
\(458\) 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 0.474355 0.880334i \(-0.342681\pi\)
−0.392517 + 0.919745i \(0.628396\pi\)
\(462\) −358694. 959568.i −0.0781843 0.209156i
\(463\) −2.09907e6 + 1.01086e6i −0.455067 + 0.219149i −0.647353 0.762190i \(-0.724124\pi\)
0.192286 + 0.981339i \(0.438410\pi\)
\(464\) −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 0.982548 + 0.186008i \(0.0595549\pi\)
−0.999297 + 0.0374888i \(0.988064\pi\)
\(468\) −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 −0.339963 + 0.940439i \(0.610415\pi\)
−0.963215 + 0.268733i \(0.913395\pi\)
\(480\) −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 −0.442605 0.896717i \(-0.645946\pi\)
0.934375 0.356292i \(-0.115959\pi\)
\(488\) 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 0.161759 0.986830i \(-0.448283\pi\)
−0.971983 + 0.235053i \(0.924474\pi\)
\(500\) −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 0.910697 0.413075i \(-0.135545\pi\)
−0.999736 + 0.0229690i \(0.992688\pi\)
\(504\) −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 −0.942637 0.333821i \(-0.891662\pi\)
0.760416 + 0.649437i \(0.224995\pi\)
\(510\) 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 −0.998564 0.0535779i \(-0.982937\pi\)
0.452882 0.891570i \(-0.350396\pi\)
\(522\) 245182. + 3.27173e6i 0.0393834 + 0.525534i
\(523\) −3.58174e6 9.12613e6i −0.572585 1.45892i −0.864576 0.502502i \(-0.832413\pi\)
0.291991 0.956421i \(-0.405682\pi\)
\(524\) −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 0.235837 0.971793i \(-0.424217\pi\)
−0.352573 + 0.935784i \(0.614693\pi\)
\(542\) 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 −0.977908 0.209037i \(-0.932967\pi\)
0.0138085 0.999905i \(-0.495604\pi\)
\(548\) −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 0.911452 0.411407i \(-0.134962\pi\)
−0.812015 + 0.583637i \(0.801629\pi\)
\(558\) −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 −0.0460338 0.998940i \(-0.514658\pi\)
0.524688 + 0.851295i \(0.324182\pi\)
\(564\) 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 0.484039 + 0.875046i \(0.339169\pi\)
−0.999832 + 0.0183332i \(0.994164\pi\)
\(570\) −3.76856e6 6.52733e6i −0.485834 0.841489i
\(571\) 884134. + 1.17979e7i 0.113482 + 1.51431i 0.705685 + 0.708526i \(0.250639\pi\)
−0.592203 + 0.805789i \(0.701742\pi\)
\(572\) 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 0.386480 0.922298i \(-0.373691\pi\)
0.948600 0.316476i \(-0.102500\pi\)
\(578\) −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 0.172806 0.984956i \(-0.444717\pi\)
0.455449 + 0.890262i \(0.349479\pi\)
\(594\) −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 −0.402644 0.915357i \(-0.631909\pi\)
0.882708 + 0.469923i \(0.155718\pi\)
\(600\) 1.19719e7 8.16233e6i 1.35765 0.925627i
\(601\) 2.04822e6 + 8.97383e6i 0.231308 + 1.01343i 0.948556 + 0.316608i \(0.102544\pi\)
−0.717249 + 0.696817i \(0.754599\pi\)
\(602\) −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 −0.739298 0.673378i \(-0.764842\pi\)
0.952812 + 0.303562i \(0.0981758\pi\)
\(608\) 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 −0.218309 0.975880i \(-0.570054\pi\)
0.369357 + 0.929288i \(0.379578\pi\)
\(614\) −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 0.911846 0.410532i \(-0.134657\pi\)
0.247560 + 0.968873i \(0.420371\pi\)
\(618\) 2.05896e6 3.56623e6i 0.216859 0.375611i
\(619\) 1.06378e6 + 1.84252e6i 0.111590 + 0.193280i 0.916412 0.400237i \(-0.131072\pi\)
−0.804821 + 0.593517i \(0.797739\pi\)
\(620\) −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 −0.710325 0.703874i \(-0.751452\pi\)
0.844288 + 0.535889i \(0.180024\pi\)
\(632\) −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 0.999966 0.00820219i \(-0.00261087\pi\)
0.357694 + 0.933839i \(0.383563\pi\)
\(642\) 2.60881e6 393215.i 0.249807 0.0376524i
\(643\) 4.80145e6 6.02083e6i 0.457978 0.574287i −0.498203 0.867060i \(-0.666007\pi\)
0.956182 + 0.292773i \(0.0945782\pi\)
\(644\) 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 0.0860503 0.996291i \(-0.472575\pi\)
−0.211435 + 0.977392i \(0.567814\pi\)
\(648\) −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 −0.990341 0.138656i \(-0.955722\pi\)
0.631661 0.775245i \(-0.282374\pi\)
\(654\) −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 −0.370721 0.928744i \(-0.620889\pi\)
0.494981 + 0.868904i \(0.335175\pi\)
\(660\) 991441. 1.32299e7i 0.0885946 1.18221i
\(661\) 1.00750e7 3.10772e6i 0.896894 0.276655i 0.188166 0.982137i \(-0.439746\pi\)
0.708728 + 0.705482i \(0.249269\pi\)
\(662\) 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 −0.986625 0.163004i \(-0.947882\pi\)
0.818194 0.574942i \(-0.194975\pi\)
\(674\) 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 0.717657 0.696396i \(-0.245214\pi\)
−0.640819 + 0.767692i \(0.721405\pi\)
\(678\) −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 0.240304 + 0.970698i \(0.422753\pi\)
−0.836397 + 0.548124i \(0.815342\pi\)
\(684\) −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 0.427687 0.903927i \(-0.359329\pi\)
0.675123 + 0.737705i \(0.264091\pi\)
\(692\) 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 −0.825821 0.563933i \(-0.809288\pi\)
0.988720 0.149776i \(-0.0478551\pi\)
\(702\) 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 −0.941021 0.338348i \(-0.890132\pi\)
0.980939 0.194317i \(-0.0622489\pi\)
\(710\) 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 −0.862633 0.505830i \(-0.831186\pi\)
0.288303 0.957539i \(-0.406909\pi\)
\(720\) 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 −0.991430 0.130643i \(-0.958296\pi\)
0.0932466 0.995643i \(-0.470276\pi\)
\(728\) −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 0.917709 0.397254i \(-0.130037\pi\)
0.534465 + 0.845191i \(0.320513\pi\)
\(734\) 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 0.311209 0.950341i \(-0.399266\pi\)
−0.770950 + 0.636895i \(0.780218\pi\)
\(740\) 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 0.997674 0.0681730i \(-0.0217170\pi\)
−0.288467 + 0.957490i \(0.593146\pi\)
\(744\) 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 0.942712 0.333607i \(-0.108266\pi\)
−0.917967 + 0.396656i \(0.870171\pi\)
\(752\) −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 −0.276554 0.960998i \(-0.589192\pi\)
0.578910 + 0.815391i \(0.303478\pi\)
\(758\) 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
\(761\)