Properties

Label 49.6.g.a.2.18
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 2.18
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.87515 + 1.81224i) q^{2} +(-3.88671 + 9.90318i) q^{3} +(4.79349 + 3.26815i) q^{4} +(-68.8177 + 10.3726i) q^{5} +(-40.7820 + 51.1390i) q^{6} +(-128.506 - 17.1261i) q^{7} +(-100.429 - 125.934i) q^{8} +(95.1652 + 88.3004i) q^{9} +O(q^{10})\) \(q+(5.87515 + 1.81224i) q^{2} +(-3.88671 + 9.90318i) q^{3} +(4.79349 + 3.26815i) q^{4} +(-68.8177 + 10.3726i) q^{5} +(-40.7820 + 51.1390i) q^{6} +(-128.506 - 17.1261i) q^{7} +(-100.429 - 125.934i) q^{8} +(95.1652 + 88.3004i) q^{9} +(-423.112 - 63.7738i) q^{10} +(14.1146 - 13.0965i) q^{11} +(-50.9959 + 34.7684i) q^{12} +(122.970 + 538.767i) q^{13} +(-723.953 - 333.502i) q^{14} +(164.753 - 721.829i) q^{15} +(-429.638 - 1094.70i) q^{16} +(16.8049 + 224.246i) q^{17} +(399.088 + 691.240i) q^{18} +(-848.725 + 1470.04i) q^{19} +(-363.776 - 175.185i) q^{20} +(669.067 - 1206.05i) q^{21} +(106.660 - 51.3645i) q^{22} +(-49.9558 + 666.614i) q^{23} +(1637.49 - 505.098i) q^{24} +(1642.12 - 506.526i) q^{25} +(-253.909 + 3388.18i) q^{26} +(-3573.50 + 1720.91i) q^{27} +(-560.020 - 502.069i) q^{28} +(396.665 + 191.024i) q^{29} +(2276.08 - 3942.28i) q^{30} +(-1935.39 - 3352.19i) q^{31} +(-155.134 - 2070.12i) q^{32} +(74.8372 + 190.682i) q^{33} +(-307.657 + 1347.93i) q^{34} +(9021.10 - 154.357i) q^{35} +(167.595 + 734.281i) q^{36} +(-2243.96 + 1529.91i) q^{37} +(-7650.45 + 7098.58i) q^{38} +(-5813.45 - 876.237i) q^{39} +(8217.56 + 7624.78i) q^{40} +(3413.06 + 4279.85i) q^{41} +(6116.52 - 5873.21i) q^{42} +(10414.3 - 13059.1i) q^{43} +(110.460 - 16.6491i) q^{44} +(-7464.95 - 5089.52i) q^{45} +(-1501.56 + 3825.93i) q^{46} +(25293.0 + 7801.85i) q^{47} +12510.9 q^{48} +(16220.4 + 4401.61i) q^{49} +10565.6 q^{50} +(-2286.07 - 705.158i) q^{51} +(-1171.31 + 2984.46i) q^{52} +(-28880.5 - 19690.4i) q^{53} +(-24113.5 + 3634.53i) q^{54} +(-835.492 + 1047.67i) q^{55} +(10748.9 + 17903.2i) q^{56} +(-11259.3 - 14118.7i) q^{57} +(1984.28 + 1841.14i) q^{58} +(-48492.1 - 7309.00i) q^{59} +(3148.78 - 2921.64i) q^{60} +(-24643.3 + 16801.5i) q^{61} +(-5295.71 - 23202.0i) q^{62} +(-10717.0 - 12976.9i) q^{63} +(-5533.72 + 24244.8i) q^{64} +(-14050.9 - 35801.1i) q^{65} +(94.1173 + 1255.91i) q^{66} +(8981.50 + 15556.4i) q^{67} +(-652.315 + 1129.84i) q^{68} +(-6407.44 - 3085.66i) q^{69} +(53280.0 + 15441.6i) q^{70} +(-51257.0 + 24684.1i) q^{71} +(1562.68 - 20852.5i) q^{72} +(-27838.3 + 8586.97i) q^{73} +(-15956.2 + 4921.83i) q^{74} +(-1366.22 + 18230.9i) q^{75} +(-8872.65 + 4272.84i) q^{76} +(-2038.10 + 1441.24i) q^{77} +(-32566.9 - 15683.4i) q^{78} +(35224.3 - 61010.3i) q^{79} +(40921.6 + 70878.3i) q^{80} +(-795.819 - 10619.5i) q^{81} +(12296.1 + 31330.0i) q^{82} +(-8496.96 + 37227.6i) q^{83} +(7148.71 - 3594.58i) q^{84} +(-3482.49 - 15257.8i) q^{85} +(84851.9 - 57851.0i) q^{86} +(-3433.46 + 3185.79i) q^{87} +(-3066.81 - 462.248i) q^{88} +(49734.0 + 46146.4i) q^{89} +(-34634.2 - 43430.0i) q^{90} +(-6575.35 - 71340.5i) q^{91} +(-2418.06 + 3032.15i) q^{92} +(40719.7 - 6137.50i) q^{93} +(134461. + 91674.0i) q^{94} +(43159.2 - 109968. i) q^{95} +(21103.8 + 6509.65i) q^{96} -60207.4 q^{97} +(87320.4 + 55255.4i) q^{98} +2499.65 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.87515 + 1.81224i 1.03859 + 0.320362i 0.766727 0.641974i \(-0.221884\pi\)
0.271863 + 0.962336i \(0.412360\pi\)
\(3\) −3.88671 + 9.90318i −0.249333 + 0.635289i −0.999668 0.0257682i \(-0.991797\pi\)
0.750335 + 0.661057i \(0.229892\pi\)
\(4\) 4.79349 + 3.26815i 0.149797 + 0.102130i
\(5\) −68.8177 + 10.3726i −1.23105 + 0.185551i −0.732170 0.681122i \(-0.761492\pi\)
−0.498878 + 0.866672i \(0.666254\pi\)
\(6\) −40.7820 + 51.1390i −0.462477 + 0.579928i
\(7\) −128.506 17.1261i −0.991236 0.132103i
\(8\) −100.429 125.934i −0.554797 0.695694i
\(9\) 95.1652 + 88.3004i 0.391626 + 0.363376i
\(10\) −423.112 63.7738i −1.33800 0.201671i
\(11\) 14.1146 13.0965i 0.0351713 0.0326342i −0.662391 0.749158i \(-0.730458\pi\)
0.697563 + 0.716524i \(0.254268\pi\)
\(12\) −50.9959 + 34.7684i −0.102231 + 0.0696999i
\(13\) 122.970 + 538.767i 0.201809 + 0.884183i 0.969835 + 0.243764i \(0.0783822\pi\)
−0.768026 + 0.640419i \(0.778761\pi\)
\(14\) −723.953 333.502i −0.987166 0.454756i
\(15\) 164.753 721.829i 0.189062 0.828335i
\(16\) −429.638 1094.70i −0.419569 1.06904i
\(17\) 16.8049 + 224.246i 0.0141031 + 0.188193i 0.999806 + 0.0196997i \(0.00627103\pi\)
−0.985703 + 0.168493i \(0.946110\pi\)
\(18\) 399.088 + 691.240i 0.290327 + 0.502861i
\(19\) −848.725 + 1470.04i −0.539365 + 0.934208i 0.459573 + 0.888140i \(0.348003\pi\)
−0.998938 + 0.0460682i \(0.985331\pi\)
\(20\) −363.776 175.185i −0.203357 0.0979315i
\(21\) 669.067 1206.05i 0.331071 0.596784i
\(22\) 106.660 51.3645i 0.0469833 0.0226259i
\(23\) −49.9558 + 666.614i −0.0196909 + 0.262757i 0.978666 + 0.205457i \(0.0658682\pi\)
−0.998357 + 0.0573000i \(0.981751\pi\)
\(24\) 1637.49 505.098i 0.580296 0.178998i
\(25\) 1642.12 506.526i 0.525477 0.162088i
\(26\) −253.909 + 3388.18i −0.0736623 + 0.982955i
\(27\) −3573.50 + 1720.91i −0.943374 + 0.454305i
\(28\) −560.020 502.069i −0.134992 0.121023i
\(29\) 396.665 + 191.024i 0.0875848 + 0.0421786i 0.477163 0.878815i \(-0.341665\pi\)
−0.389579 + 0.920993i \(0.627379\pi\)
\(30\) 2276.08 3942.28i 0.461725 0.799732i
\(31\) −1935.39 3352.19i −0.361713 0.626505i 0.626530 0.779397i \(-0.284475\pi\)
−0.988243 + 0.152892i \(0.951141\pi\)
\(32\) −155.134 2070.12i −0.0267814 0.357373i
\(33\) 74.8372 + 190.682i 0.0119628 + 0.0304807i
\(34\) −307.657 + 1347.93i −0.0456426 + 0.199973i
\(35\) 9021.10 154.357i 1.24477 0.0212988i
\(36\) 167.595 + 734.281i 0.0215528 + 0.0944291i
\(37\) −2243.96 + 1529.91i −0.269471 + 0.183722i −0.690515 0.723318i \(-0.742616\pi\)
0.421044 + 0.907040i \(0.361664\pi\)
\(38\) −7650.45 + 7098.58i −0.859464 + 0.797466i
\(39\) −5813.45 876.237i −0.612030 0.0922486i
\(40\) 8217.56 + 7624.78i 0.812069 + 0.753490i
\(41\) 3413.06 + 4279.85i 0.317092 + 0.397620i 0.914677 0.404185i \(-0.132445\pi\)
−0.597586 + 0.801805i \(0.703873\pi\)
\(42\) 6116.52 5873.21i 0.535034 0.513750i
\(43\) 10414.3 13059.1i 0.858933 1.07707i −0.137315 0.990527i \(-0.543847\pi\)
0.996248 0.0865405i \(-0.0275812\pi\)
\(44\) 110.460 16.6491i 0.00860145 0.00129646i
\(45\) −7464.95 5089.52i −0.549535 0.374667i
\(46\) −1501.56 + 3825.93i −0.104628 + 0.266589i
\(47\) 25293.0 + 7801.85i 1.67015 + 0.515173i 0.978357 0.206925i \(-0.0663455\pi\)
0.691792 + 0.722097i \(0.256822\pi\)
\(48\) 12510.9 0.783764
\(49\) 16220.4 + 4401.61i 0.965097 + 0.261891i
\(50\) 10565.6 0.597682
\(51\) −2286.07 705.158i −0.123073 0.0379631i
\(52\) −1171.31 + 2984.46i −0.0600709 + 0.153058i
\(53\) −28880.5 19690.4i −1.41226 0.962864i −0.998625 0.0524216i \(-0.983306\pi\)
−0.413637 0.910442i \(-0.635742\pi\)
\(54\) −24113.5 + 3634.53i −1.12532 + 0.169615i
\(55\) −835.492 + 1047.67i −0.0372422 + 0.0467003i
\(56\) 10748.9 + 17903.2i 0.458032 + 0.762888i
\(57\) −11259.3 14118.7i −0.459011 0.575582i
\(58\) 1984.28 + 1841.14i 0.0774521 + 0.0718651i
\(59\) −48492.1 7309.00i −1.81360 0.273356i −0.847361 0.531017i \(-0.821810\pi\)
−0.966235 + 0.257661i \(0.917048\pi\)
\(60\) 3148.78 2921.64i 0.112918 0.104773i
\(61\) −24643.3 + 16801.5i −0.847958 + 0.578128i −0.907478 0.420099i \(-0.861995\pi\)
0.0595202 + 0.998227i \(0.481043\pi\)
\(62\) −5295.71 23202.0i −0.174962 0.766561i
\(63\) −10717.0 12976.9i −0.340191 0.411927i
\(64\) −5533.72 + 24244.8i −0.168876 + 0.739893i
\(65\) −14050.9 35801.1i −0.412497 1.05103i
\(66\) 94.1173 + 1255.91i 0.00265956 + 0.0354893i
\(67\) 8981.50 + 15556.4i 0.244434 + 0.423372i 0.961972 0.273147i \(-0.0880645\pi\)
−0.717538 + 0.696519i \(0.754731\pi\)
\(68\) −652.315 + 1129.84i −0.0171075 + 0.0296310i
\(69\) −6407.44 3085.66i −0.162017 0.0780235i
\(70\) 53280.0 + 15441.6i 1.29963 + 0.376657i
\(71\) −51257.0 + 24684.1i −1.20672 + 0.581127i −0.925585 0.378540i \(-0.876426\pi\)
−0.281138 + 0.959667i \(0.590712\pi\)
\(72\) 1562.68 20852.5i 0.0355253 0.474052i
\(73\) −27838.3 + 8586.97i −0.611413 + 0.188596i −0.584971 0.811054i \(-0.698894\pi\)
−0.0264425 + 0.999650i \(0.508418\pi\)
\(74\) −15956.2 + 4921.83i −0.338727 + 0.104483i
\(75\) −1366.22 + 18230.9i −0.0280457 + 0.374244i
\(76\) −8872.65 + 4272.84i −0.176205 + 0.0848560i
\(77\) −2038.10 + 1441.24i −0.0391741 + 0.0277019i
\(78\) −32566.9 15683.4i −0.606094 0.291880i
\(79\) 35224.3 61010.3i 0.635002 1.09986i −0.351513 0.936183i \(-0.614333\pi\)
0.986515 0.163672i \(-0.0523340\pi\)
\(80\) 40921.6 + 70878.3i 0.714871 + 1.23819i
\(81\) −795.819 10619.5i −0.0134773 0.179842i
\(82\) 12296.1 + 31330.0i 0.201945 + 0.514548i
\(83\) −8496.96 + 37227.6i −0.135384 + 0.593158i 0.861030 + 0.508554i \(0.169820\pi\)
−0.996415 + 0.0846040i \(0.973037\pi\)
\(84\) 7148.71 3594.58i 0.110543 0.0555840i
\(85\) −3482.49 15257.8i −0.0522809 0.229058i
\(86\) 84851.9 57851.0i 1.23713 0.843461i
\(87\) −3433.46 + 3185.79i −0.0486333 + 0.0451252i
\(88\) −3066.81 462.248i −0.0422163 0.00636309i
\(89\) 49734.0 + 46146.4i 0.665547 + 0.617537i 0.938824 0.344398i \(-0.111917\pi\)
−0.273277 + 0.961935i \(0.588108\pi\)
\(90\) −34634.2 43430.0i −0.450712 0.565175i
\(91\) −6575.35 71340.5i −0.0832368 0.903094i
\(92\) −2418.06 + 3032.15i −0.0297849 + 0.0373491i
\(93\) 40719.7 6137.50i 0.488199 0.0735841i
\(94\) 134461. + 91674.0i 1.56956 + 1.07011i
\(95\) 43159.2 109968.i 0.490642 1.25013i
\(96\) 21103.8 + 6509.65i 0.233713 + 0.0720908i
\(97\) −60207.4 −0.649712 −0.324856 0.945764i \(-0.605316\pi\)
−0.324856 + 0.945764i \(0.605316\pi\)
\(98\) 87320.4 + 55255.4i 0.918440 + 0.581178i
\(99\) 2499.65 0.0256325
\(100\) 9526.87 + 2938.65i 0.0952687 + 0.0293865i
\(101\) −8808.70 + 22444.2i −0.0859228 + 0.218928i −0.967377 0.253342i \(-0.918470\pi\)
0.881454 + 0.472270i \(0.156565\pi\)
\(102\) −12153.1 8285.82i −0.115661 0.0788560i
\(103\) 74715.8 11261.6i 0.693936 0.104594i 0.207402 0.978256i \(-0.433499\pi\)
0.486534 + 0.873662i \(0.338261\pi\)
\(104\) 55499.3 69593.9i 0.503158 0.630940i
\(105\) −33533.8 + 89937.5i −0.296831 + 0.796100i
\(106\) −133993. 168022.i −1.15829 1.45246i
\(107\) 94593.6 + 87770.0i 0.798734 + 0.741117i 0.969737 0.244154i \(-0.0785101\pi\)
−0.171003 + 0.985271i \(0.554701\pi\)
\(108\) −22753.7 3429.57i −0.187712 0.0282931i
\(109\) 62192.7 57706.4i 0.501387 0.465219i −0.388468 0.921462i \(-0.626996\pi\)
0.889855 + 0.456243i \(0.150805\pi\)
\(110\) −6807.28 + 4641.12i −0.0536404 + 0.0365714i
\(111\) −6429.32 28168.7i −0.0495287 0.217000i
\(112\) 36463.0 + 148033.i 0.274667 + 1.11510i
\(113\) −51969.1 + 227692.i −0.382868 + 1.67746i 0.305577 + 0.952167i \(0.401151\pi\)
−0.688445 + 0.725288i \(0.741707\pi\)
\(114\) −40563.4 103354.i −0.292329 0.744843i
\(115\) −3476.68 46393.0i −0.0245143 0.327121i
\(116\) 1277.11 + 2212.03i 0.00881221 + 0.0152632i
\(117\) −35870.8 + 62130.1i −0.242257 + 0.419602i
\(118\) −271652. 130821.i −1.79601 0.864912i
\(119\) 1680.94 29104.7i 0.0108814 0.188407i
\(120\) −107449. + 51744.6i −0.681159 + 0.328029i
\(121\) −12007.7 + 160231.i −0.0745581 + 0.994908i
\(122\) −175231. + 54051.8i −1.06589 + 0.328784i
\(123\) −55649.7 + 17165.7i −0.331665 + 0.102305i
\(124\) 1678.19 22393.8i 0.00980135 0.130790i
\(125\) 88194.0 42472.0i 0.504852 0.243124i
\(126\) −39446.7 95663.1i −0.221353 0.536807i
\(127\) −8722.67 4200.62i −0.0479889 0.0231102i 0.409735 0.912204i \(-0.365621\pi\)
−0.457724 + 0.889094i \(0.651335\pi\)
\(128\) −109664. + 189943.i −0.591614 + 1.02471i
\(129\) 88849.5 + 153892.i 0.470090 + 0.814219i
\(130\) −17670.8 235801.i −0.0917061 1.22373i
\(131\) −39007.4 99389.4i −0.198595 0.506013i 0.796534 0.604594i \(-0.206665\pi\)
−0.995129 + 0.0985814i \(0.968570\pi\)
\(132\) −264.445 + 1158.61i −0.00132100 + 0.00578766i
\(133\) 134242. 174372.i 0.658050 0.854769i
\(134\) 24575.6 + 107673.i 0.118234 + 0.518017i
\(135\) 228069. 155495.i 1.07704 0.734315i
\(136\) 26552.5 24637.2i 0.123100 0.114220i
\(137\) 284386. + 42864.3i 1.29451 + 0.195116i 0.759933 0.650001i \(-0.225232\pi\)
0.534580 + 0.845118i \(0.320470\pi\)
\(138\) −32052.7 29740.5i −0.143274 0.132939i
\(139\) −196871. 246868.i −0.864261 1.08375i −0.995719 0.0924270i \(-0.970538\pi\)
0.131459 0.991322i \(-0.458034\pi\)
\(140\) 43747.0 + 28742.4i 0.188638 + 0.123937i
\(141\) −175570. + 220157.i −0.743706 + 0.932578i
\(142\) −345876. + 52132.5i −1.43946 + 0.216964i
\(143\) 8791.62 + 5994.02i 0.0359525 + 0.0245120i
\(144\) 55775.9 142115.i 0.224151 0.571127i
\(145\) −29278.9 9031.36i −0.115647 0.0356725i
\(146\) −179116. −0.695426
\(147\) −106634. + 143526.i −0.407007 + 0.547818i
\(148\) −15756.4 −0.0591292
\(149\) 367904. + 113483.i 1.35759 + 0.418761i 0.886257 0.463194i \(-0.153297\pi\)
0.471333 + 0.881955i \(0.343773\pi\)
\(150\) −41065.5 + 104633.i −0.149022 + 0.379701i
\(151\) −431024. 293867.i −1.53837 1.04884i −0.974885 0.222710i \(-0.928510\pi\)
−0.563481 0.826129i \(-0.690538\pi\)
\(152\) 270364. 40750.8i 0.949162 0.143063i
\(153\) −18201.8 + 22824.3i −0.0628616 + 0.0788260i
\(154\) −14586.0 + 4773.97i −0.0495605 + 0.0162210i
\(155\) 167960. + 210615.i 0.561534 + 0.704142i
\(156\) −25003.0 23199.4i −0.0822586 0.0763248i
\(157\) −164833. 24844.5i −0.533697 0.0804418i −0.123336 0.992365i \(-0.539359\pi\)
−0.410361 + 0.911923i \(0.634597\pi\)
\(158\) 317514. 294610.i 1.01186 0.938867i
\(159\) 307248. 209478.i 0.963820 0.657121i
\(160\) 32148.5 + 140852.i 0.0992799 + 0.434974i
\(161\) 17836.1 84808.1i 0.0542295 0.257853i
\(162\) 14569.5 63833.2i 0.0436171 0.191099i
\(163\) 69866.9 + 178018.i 0.205969 + 0.524801i 0.996109 0.0881249i \(-0.0280875\pi\)
−0.790140 + 0.612926i \(0.789992\pi\)
\(164\) 2373.32 + 31669.8i 0.00689045 + 0.0919466i
\(165\) −7127.99 12346.0i −0.0203825 0.0353035i
\(166\) −117386. + 203319.i −0.330634 + 0.572675i
\(167\) 82570.5 + 39763.9i 0.229105 + 0.110331i 0.544915 0.838491i \(-0.316562\pi\)
−0.315810 + 0.948822i \(0.602276\pi\)
\(168\) −219077. + 36864.1i −0.598856 + 0.100770i
\(169\) 59375.6 28593.8i 0.159916 0.0770114i
\(170\) 7190.68 95952.9i 0.0190830 0.254645i
\(171\) −210574. + 64953.4i −0.550699 + 0.169868i
\(172\) 92600.0 28563.3i 0.238666 0.0736186i
\(173\) −43109.3 + 575254.i −0.109511 + 1.46132i 0.623886 + 0.781516i \(0.285553\pi\)
−0.733396 + 0.679801i \(0.762066\pi\)
\(174\) −25945.5 + 12494.7i −0.0649665 + 0.0312862i
\(175\) −219696. + 36968.3i −0.542284 + 0.0912504i
\(176\) −20400.9 9824.56i −0.0496441 0.0239073i
\(177\) 260857. 451818.i 0.625849 1.08400i
\(178\) 208566. + 361247.i 0.493394 + 0.854583i
\(179\) 54892.2 + 732486.i 0.128050 + 1.70870i 0.578319 + 0.815811i \(0.303709\pi\)
−0.450269 + 0.892893i \(0.648672\pi\)
\(180\) −19149.9 48793.1i −0.0440539 0.112248i
\(181\) −41220.4 + 180598.i −0.0935224 + 0.409748i −0.999920 0.0126781i \(-0.995964\pi\)
0.906397 + 0.422426i \(0.138821\pi\)
\(182\) 90655.2 431052.i 0.202868 0.964609i
\(183\) −70607.1 309350.i −0.155855 0.682845i
\(184\) 88966.5 60656.3i 0.193723 0.132078i
\(185\) 138555. 128560.i 0.297641 0.276171i
\(186\) 250357. + 37735.2i 0.530612 + 0.0799768i
\(187\) 3174.03 + 2945.07i 0.00663754 + 0.00615874i
\(188\) 95744.0 + 120059.i 0.197568 + 0.247743i
\(189\) 488687. 159946.i 0.995122 0.325701i
\(190\) 452855. 567862.i 0.910071 1.14119i
\(191\) −424732. + 64018.0i −0.842425 + 0.126975i −0.556057 0.831144i \(-0.687686\pi\)
−0.286368 + 0.958120i \(0.592448\pi\)
\(192\) −218593. 149034.i −0.427940 0.291765i
\(193\) −303903. + 774331.i −0.587274 + 1.49635i 0.260222 + 0.965549i \(0.416204\pi\)
−0.847496 + 0.530802i \(0.821891\pi\)
\(194\) −353727. 109110.i −0.674783 0.208143i
\(195\) 409157. 0.770555
\(196\) 63367.2 + 74109.7i 0.117821 + 0.137795i
\(197\) −191092. −0.350815 −0.175407 0.984496i \(-0.556124\pi\)
−0.175407 + 0.984496i \(0.556124\pi\)
\(198\) 14685.8 + 4529.96i 0.0266216 + 0.00821168i
\(199\) 397210. 1.01208e6i 0.711030 1.81168i 0.141076 0.989999i \(-0.454944\pi\)
0.569954 0.821676i \(-0.306961\pi\)
\(200\) −228705. 155928.i −0.404297 0.275645i
\(201\) −188966. + 28482.1i −0.329909 + 0.0497258i
\(202\) −92426.7 + 115899.i −0.159375 + 0.199849i
\(203\) −47702.1 31340.9i −0.0812452 0.0533792i
\(204\) −8653.68 10851.4i −0.0145588 0.0182562i
\(205\) −279272. 259127.i −0.464134 0.430653i
\(206\) 459375. + 69239.7i 0.754223 + 0.113681i
\(207\) −63616.4 + 59027.3i −0.103191 + 0.0957475i
\(208\) 536955. 366090.i 0.860557 0.586718i
\(209\) 7272.82 + 31864.3i 0.0115169 + 0.0504590i
\(210\) −360005. + 467625.i −0.563326 + 0.731727i
\(211\) 19715.9 86381.0i 0.0304867 0.133571i −0.957394 0.288784i \(-0.906749\pi\)
0.987881 + 0.155213i \(0.0496063\pi\)
\(212\) −74087.3 188771.i −0.113215 0.288467i
\(213\) −45229.6 603548.i −0.0683084 0.911512i
\(214\) 396691. + 687088.i 0.592131 + 1.02560i
\(215\) −581231. + 1.00672e6i −0.857537 + 1.48530i
\(216\) 575604. + 277196.i 0.839439 + 0.404253i
\(217\) 191298. + 463921.i 0.275779 + 0.668798i
\(218\) 469969. 226325.i 0.669774 0.322546i
\(219\) 23161.0 309062.i 0.0326323 0.435447i
\(220\) −7428.88 + 2291.50i −0.0103482 + 0.00319201i
\(221\) −118750. + 36629.5i −0.163551 + 0.0504487i
\(222\) 13275.3 177147.i 0.0180785 0.241241i
\(223\) 267550. 128845.i 0.360282 0.173503i −0.244982 0.969528i \(-0.578782\pi\)
0.605264 + 0.796025i \(0.293068\pi\)
\(224\) −15517.6 + 268679.i −0.0206635 + 0.357779i
\(225\) 200999. + 96795.9i 0.264690 + 0.127468i
\(226\) −717959. + 1.24354e6i −0.935036 + 1.61953i
\(227\) 116821. + 202341.i 0.150473 + 0.260627i 0.931401 0.363994i \(-0.118587\pi\)
−0.780929 + 0.624620i \(0.785254\pi\)
\(228\) −7829.30 104475.i −0.00997437 0.133099i
\(229\) −399371. 1.01758e6i −0.503255 1.28227i −0.926513 0.376264i \(-0.877209\pi\)
0.423257 0.906009i \(-0.360887\pi\)
\(230\) 63649.4 278866.i 0.0793368 0.347597i
\(231\) −6351.35 25785.4i −0.00783135 0.0317939i
\(232\) −15780.3 69137.9i −0.0192484 0.0843328i
\(233\) 700908. 477871.i 0.845807 0.576661i −0.0610335 0.998136i \(-0.519440\pi\)
0.906840 + 0.421474i \(0.138487\pi\)
\(234\) −323341. + 300017.i −0.386030 + 0.358184i
\(235\) −1.82153e6 274551.i −2.15162 0.324305i
\(236\) −208559. 193515.i −0.243753 0.226170i
\(237\) 467289. + 585962.i 0.540400 + 0.677640i
\(238\) 62620.6 167948.i 0.0716597 0.192191i
\(239\) 650785. 816058.i 0.736958 0.924116i −0.262206 0.965012i \(-0.584450\pi\)
0.999163 + 0.0408961i \(0.0130213\pi\)
\(240\) −860970. + 129770.i −0.964851 + 0.145428i
\(241\) −927594. 632423.i −1.02876 0.701398i −0.0735417 0.997292i \(-0.523430\pi\)
−0.955221 + 0.295894i \(0.904383\pi\)
\(242\) −360924. + 919620.i −0.396166 + 1.00942i
\(243\) −812728. 250693.i −0.882936 0.272350i
\(244\) −173037. −0.186065
\(245\) −1.16191e6 134661.i −1.23668 0.143326i
\(246\) −358058. −0.377239
\(247\) −896373. 276495.i −0.934860 0.288366i
\(248\) −227786. + 580389.i −0.235178 + 0.599225i
\(249\) −335647. 228840.i −0.343071 0.233902i
\(250\) 595122. 89700.3i 0.602222 0.0907703i
\(251\) −38990.0 + 48891.9i −0.0390633 + 0.0489838i −0.800979 0.598692i \(-0.795687\pi\)
0.761916 + 0.647676i \(0.224259\pi\)
\(252\) −8961.49 97229.4i −0.00888953 0.0964487i
\(253\) 8025.19 + 10063.3i 0.00788232 + 0.00988411i
\(254\) −43634.5 40486.9i −0.0424371 0.0393758i
\(255\) 164636. + 24814.9i 0.158553 + 0.0238980i
\(256\) −405162. + 375935.i −0.386392 + 0.358520i
\(257\) 176534. 120359.i 0.166723 0.113670i −0.477084 0.878858i \(-0.658306\pi\)
0.643807 + 0.765188i \(0.277354\pi\)
\(258\) 243114. + 1.06515e6i 0.227385 + 0.996238i
\(259\) 314563. 158171.i 0.291379 0.146514i
\(260\) 49650.5 217533.i 0.0455502 0.199568i
\(261\) 20881.2 + 53204.4i 0.0189738 + 0.0483444i
\(262\) −49056.8 654618.i −0.0441516 0.589162i
\(263\) −226832. 392884.i −0.202215 0.350247i 0.747027 0.664794i \(-0.231481\pi\)
−0.949242 + 0.314547i \(0.898147\pi\)
\(264\) 16497.5 28574.6i 0.0145683 0.0252331i
\(265\) 2.19173e6 + 1.05548e6i 1.91722 + 0.923285i
\(266\) 1.10470e6 781185.i 0.957280 0.676939i
\(267\) −650298. + 313167.i −0.558257 + 0.268842i
\(268\) −7787.90 + 103922.i −0.00662344 + 0.0883837i
\(269\) −741777. + 228808.i −0.625018 + 0.192793i −0.591056 0.806631i \(-0.701289\pi\)
−0.0339621 + 0.999423i \(0.510813\pi\)
\(270\) 1.62174e6 500240.i 1.35385 0.417608i
\(271\) 30581.0 408075.i 0.0252947 0.337534i −0.970172 0.242419i \(-0.922059\pi\)
0.995466 0.0951147i \(-0.0303218\pi\)
\(272\) 238262. 114741.i 0.195269 0.0940366i
\(273\) 732055. + 212163.i 0.594479 + 0.172291i
\(274\) 1.59313e6 + 767210.i 1.28196 + 0.617359i
\(275\) 16544.2 28655.4i 0.0131921 0.0228494i
\(276\) −20629.6 35731.5i −0.0163011 0.0282344i
\(277\) 143165. + 1.91041e6i 0.112108 + 1.49598i 0.715543 + 0.698569i \(0.246179\pi\)
−0.603434 + 0.797413i \(0.706201\pi\)
\(278\) −709261. 1.80717e6i −0.550420 1.40245i
\(279\) 111818. 489908.i 0.0860007 0.376794i
\(280\) −925419. 1.12056e6i −0.705413 0.854163i
\(281\) 442807. + 1.94007e6i 0.334541 + 1.46572i 0.810233 + 0.586107i \(0.199340\pi\)
−0.475693 + 0.879612i \(0.657803\pi\)
\(282\) −1.43048e6 + 975281.i −1.07117 + 0.730310i
\(283\) 1.31233e6 1.21767e6i 0.974042 0.903779i −0.0213396 0.999772i \(-0.506793\pi\)
0.995382 + 0.0959930i \(0.0306026\pi\)
\(284\) −326371. 49192.6i −0.240113 0.0361913i
\(285\) 921284. + 854827.i 0.671864 + 0.623399i
\(286\) 40789.4 + 51148.3i 0.0294871 + 0.0369757i
\(287\) −365301. 608437.i −0.261786 0.436025i
\(288\) 168029. 210702.i 0.119372 0.149688i
\(289\) 1.35399e6 204082.i 0.953613 0.143734i
\(290\) −155651. 106121.i −0.108682 0.0740981i
\(291\) 234009. 596245.i 0.161994 0.412755i
\(292\) −161506. 49818.0i −0.110849 0.0341923i
\(293\) −219462. −0.149345 −0.0746724 0.997208i \(-0.523791\pi\)
−0.0746724 + 0.997208i \(0.523791\pi\)
\(294\) −886593. + 649988.i −0.598213 + 0.438568i
\(295\) 3.41292e6 2.28335
\(296\) 418027. + 128944.i 0.277316 + 0.0855406i
\(297\) −27900.8 + 71090.2i −0.0183538 + 0.0467647i
\(298\) 1.95583e6 + 1.33346e6i 1.27582 + 0.869841i
\(299\) −365293. + 55059.0i −0.236300 + 0.0356164i
\(300\) −66130.1 + 82924.6i −0.0424225 + 0.0531961i
\(301\) −1.56195e6 + 1.49981e6i −0.993690 + 0.954160i
\(302\) −1.99977e6 2.50764e6i −1.26172 1.58215i
\(303\) −188032. 174468.i −0.117659 0.109172i
\(304\) 1.97389e6 + 297516.i 1.22501 + 0.184641i
\(305\) 1.52162e6 1.41186e6i 0.936605 0.869042i
\(306\) −148301. + 101110.i −0.0905403 + 0.0617293i
\(307\) −287233. 1.25845e6i −0.173936 0.762063i −0.984353 0.176209i \(-0.943617\pi\)
0.810417 0.585854i \(-0.199241\pi\)
\(308\) −14479.8 + 247.759i −0.00869733 + 0.000148817i
\(309\) −178873. + 783695.i −0.106573 + 0.466929i
\(310\) 605103. + 1.54178e6i 0.357623 + 0.911208i
\(311\) −147019. 1.96183e6i −0.0861932 1.15017i −0.857771 0.514033i \(-0.828151\pi\)
0.771577 0.636135i \(-0.219468\pi\)
\(312\) 473491. + 820111.i 0.275376 + 0.476965i
\(313\) −646308. + 1.11944e6i −0.372888 + 0.645861i −0.990008 0.141008i \(-0.954966\pi\)
0.617121 + 0.786869i \(0.288299\pi\)
\(314\) −923393. 444682.i −0.528521 0.254522i
\(315\) 872124. + 781877.i 0.495224 + 0.443979i
\(316\) 368238. 177334.i 0.207449 0.0999021i
\(317\) −67479.8 + 900456.i −0.0377160 + 0.503285i 0.946073 + 0.323954i \(0.105012\pi\)
−0.983789 + 0.179331i \(0.942607\pi\)
\(318\) 2.18475e6 673906.i 1.21153 0.373707i
\(319\) 8100.51 2498.68i 0.00445693 0.00137478i
\(320\) 129336. 1.72587e6i 0.0706066 0.942179i
\(321\) −1.23686e6 + 595640.i −0.669974 + 0.322642i
\(322\) 258483. 465937.i 0.138929 0.250431i
\(323\) −343913. 165620.i −0.183418 0.0883295i
\(324\) 30891.2 53505.2i 0.0163483 0.0283161i
\(325\) 474830. + 822430.i 0.249362 + 0.431907i
\(326\) 87866.6 + 1.17250e6i 0.0457910 + 0.611038i
\(327\) 329752. + 840193.i 0.170537 + 0.434520i
\(328\) 196208. 859642.i 0.100700 0.441198i
\(329\) −3.11667e6 1.43575e6i −1.58746 0.731290i
\(330\) −19504.0 85452.4i −0.00985911 0.0431956i
\(331\) −1.83224e6 + 1.24920e6i −0.919205 + 0.626703i −0.927727 0.373261i \(-0.878240\pi\)
0.00852201 + 0.999964i \(0.497287\pi\)
\(332\) −162395. + 150681.i −0.0808590 + 0.0750262i
\(333\) −348639. 52548.8i −0.172292 0.0259688i
\(334\) 413052. + 383256.i 0.202600 + 0.187985i
\(335\) −779446. 977395.i −0.379467 0.475837i
\(336\) −1.60772e6 214263.i −0.776895 0.103538i
\(337\) 395998. 496565.i 0.189941 0.238178i −0.677738 0.735303i \(-0.737040\pi\)
0.867679 + 0.497125i \(0.165611\pi\)
\(338\) 400660. 60389.7i 0.190758 0.0287522i
\(339\) −2.05288e6 1.39963e6i −0.970208 0.661477i
\(340\) 33171.4 84519.4i 0.0155620 0.0396515i
\(341\) −71219.2 21968.2i −0.0331674 0.0102308i
\(342\) −1.35486e6 −0.626369
\(343\) −2.00903e6 843424.i −0.922042 0.387089i
\(344\) −2.69049e6 −1.22584
\(345\) 472951. + 145886.i 0.213928 + 0.0659882i
\(346\) −1.29577e6 + 3.30158e6i −0.581887 + 1.48263i
\(347\) −2.84014e6 1.93637e6i −1.26624 0.863307i −0.271173 0.962531i \(-0.587412\pi\)
−0.995065 + 0.0992238i \(0.968364\pi\)
\(348\) −26869.9 + 4049.98i −0.0118937 + 0.00179269i
\(349\) −2.34843e6 + 2.94484e6i −1.03208 + 1.29419i −0.0772610 + 0.997011i \(0.524617\pi\)
−0.954822 + 0.297180i \(0.903954\pi\)
\(350\) −1.35774e6 180948.i −0.592444 0.0789558i
\(351\) −1.36660e6 1.71366e6i −0.592070 0.742433i
\(352\) −29301.0 27187.3i −0.0126045 0.0116953i
\(353\) 258743. + 38999.2i 0.110518 + 0.0166578i 0.204068 0.978957i \(-0.434584\pi\)
−0.0935506 + 0.995615i \(0.529822\pi\)
\(354\) 2.35138e6 2.18176e6i 0.997273 0.925334i
\(355\) 3.27135e6 2.23037e6i 1.37771 0.939304i
\(356\) 87586.2 + 383740.i 0.0366278 + 0.160477i
\(357\) 281696. + 129768.i 0.116980 + 0.0538887i
\(358\) −1.00494e6 + 4.40294e6i −0.414413 + 1.81566i
\(359\) 1.01662e6 + 2.59030e6i 0.416314 + 1.06075i 0.973159 + 0.230134i \(0.0739165\pi\)
−0.556845 + 0.830616i \(0.687988\pi\)
\(360\) 108754. + 1.45123e6i 0.0442273 + 0.590173i
\(361\) −202619. 350947.i −0.0818301 0.141734i
\(362\) −569464. + 986340.i −0.228399 + 0.395599i
\(363\) −1.54013e6 741685.i −0.613465 0.295429i
\(364\) 201632. 363459.i 0.0797640 0.143781i
\(365\) 1.82670e6 879690.i 0.717685 0.345619i
\(366\) 145790. 1.94543e6i 0.0568886 0.759125i
\(367\) 3.02693e6 933685.i 1.17311 0.361855i 0.353861 0.935298i \(-0.384869\pi\)
0.819246 + 0.573443i \(0.194392\pi\)
\(368\) 751206. 231716.i 0.289161 0.0891943i
\(369\) −53107.3 + 708667.i −0.0203043 + 0.270942i
\(370\) 1.04701e6 504216.i 0.397602 0.191475i
\(371\) 3.37409e6 + 3.02494e6i 1.27269 + 1.14099i
\(372\) 215248. + 103658.i 0.0806456 + 0.0388369i
\(373\) 604869. 1.04766e6i 0.225107 0.389897i −0.731244 0.682116i \(-0.761060\pi\)
0.956352 + 0.292218i \(0.0943934\pi\)
\(374\) 13310.7 + 23054.8i 0.00492065 + 0.00852282i
\(375\) 77823.1 + 1.03848e6i 0.0285779 + 0.381346i
\(376\) −1.55763e6 3.96878e6i −0.568192 1.44773i
\(377\) −54139.3 + 237200.i −0.0196182 + 0.0859530i
\(378\) 3.16097e6 54086.2i 1.13786 0.0194696i
\(379\) 168490. + 738201.i 0.0602525 + 0.263983i 0.996078 0.0884804i \(-0.0282011\pi\)
−0.935825 + 0.352464i \(0.885344\pi\)
\(380\) 566274. 386079.i 0.201172 0.137157i
\(381\) 75502.0 70055.6i 0.0266469 0.0247247i
\(382\) −2.61138e6 393602.i −0.915611 0.138006i
\(383\) 1.20332e6 + 1.11652e6i 0.419164 + 0.388927i 0.861363 0.507989i \(-0.169611\pi\)
−0.442199 + 0.896917i \(0.645802\pi\)
\(384\) −1.45481e6 1.82427e6i −0.503476 0.631338i
\(385\) 125308. 120323.i 0.0430851 0.0413712i
\(386\) −3.18875e6 + 3.99856e6i −1.08931 + 1.36595i
\(387\) 2.14421e6 323187.i 0.727761 0.109692i
\(388\) −288604. 196767.i −0.0973246 0.0663548i
\(389\) 570650. 1.45399e6i 0.191204 0.487179i −0.802836 0.596200i \(-0.796676\pi\)
0.994039 + 0.109021i \(0.0347717\pi\)
\(390\) 2.40386e6 + 741492.i 0.800290 + 0.246857i
\(391\) −150325. −0.0497268
\(392\) −1.07469e6 2.48475e6i −0.353237 0.816709i
\(393\) 1.13588e6 0.370981
\(394\) −1.12270e6 346306.i −0.364352 0.112388i
\(395\) −1.79122e6 + 4.56396e6i −0.577639 + 1.47180i
\(396\) 11982.0 + 8169.21i 0.00383966 + 0.00261783i
\(397\) −3.32331e6 + 500908.i −1.05826 + 0.159508i −0.655040 0.755594i \(-0.727348\pi\)
−0.403224 + 0.915101i \(0.632110\pi\)
\(398\) 4.16780e6 5.22625e6i 1.31886 1.65380i
\(399\) 1.20508e6 + 2.00716e6i 0.378952 + 0.631174i
\(400\) −1.26001e6 1.58000e6i −0.393753 0.493751i
\(401\) −1.45703e6 1.35193e6i −0.452488 0.419848i 0.420723 0.907189i \(-0.361776\pi\)
−0.873212 + 0.487341i \(0.837967\pi\)
\(402\) −1.16182e6 175117.i −0.358570 0.0540458i
\(403\) 1.56805e6 1.45494e6i 0.480948 0.446255i
\(404\) −115575. + 78797.9i −0.0352299 + 0.0240194i
\(405\) 164918. + 722552.i 0.0499609 + 0.218893i
\(406\) −223460. 270581.i −0.0672797 0.0814669i
\(407\) −11636.3 + 50982.1i −0.00348201 + 0.0152557i
\(408\) 140784. + 358712.i 0.0418700 + 0.106683i
\(409\) −167420. 2.23407e6i −0.0494879 0.660371i −0.965697 0.259671i \(-0.916386\pi\)
0.916209 0.400700i \(-0.131233\pi\)
\(410\) −1.17117e6 2.02852e6i −0.344079 0.595963i
\(411\) −1.52982e6 + 2.64972e6i −0.446720 + 0.773741i
\(412\) 394954. + 190200.i 0.114631 + 0.0552036i
\(413\) 6.10633e6 + 1.76973e6i 1.76159 + 0.510542i
\(414\) −480727. + 231506.i −0.137847 + 0.0663837i
\(415\) 198594. 2.65005e6i 0.0566039 0.755326i
\(416\) 1.09624e6 338144.i 0.310578 0.0958007i
\(417\) 3.20996e6 990143.i 0.903982 0.278842i
\(418\) −15017.0 + 200388.i −0.00420380 + 0.0560958i
\(419\) 1.75255e6 843984.i 0.487681 0.234855i −0.173851 0.984772i \(-0.555621\pi\)
0.661532 + 0.749917i \(0.269907\pi\)
\(420\) −454673. + 321521.i −0.125770 + 0.0889378i
\(421\) −2.41981e6 1.16532e6i −0.665390 0.320435i 0.0705237 0.997510i \(-0.477533\pi\)
−0.735914 + 0.677075i \(0.763247\pi\)
\(422\) 272377. 471771.i 0.0744542 0.128959i
\(423\) 1.71810e6 + 2.97584e6i 0.466873 + 0.808647i
\(424\) 420751. + 5.61453e6i 0.113661 + 1.51670i
\(425\) 141182. + 359726.i 0.0379147 + 0.0966051i
\(426\) 828044. 3.62790e6i 0.221070 0.968570i
\(427\) 3.45455e6 1.73705e6i 0.916899 0.461043i
\(428\) 166588. + 729870.i 0.0439577 + 0.192591i
\(429\) −93530.4 + 63767.9i −0.0245363 + 0.0167286i
\(430\) −5.23924e6 + 4.86131e6i −1.36646 + 1.26789i
\(431\) −4.31797e6 650829.i −1.11966 0.168762i −0.436974 0.899474i \(-0.643950\pi\)
−0.682685 + 0.730712i \(0.739188\pi\)
\(432\) 3.41919e6 + 3.17254e6i 0.881482 + 0.817896i
\(433\) 2.88623e6 + 3.61922e6i 0.739796 + 0.927675i 0.999275 0.0380740i \(-0.0121223\pi\)
−0.259479 + 0.965749i \(0.583551\pi\)
\(434\) 283168. + 3.07228e6i 0.0721638 + 0.782956i
\(435\) 203238. 254852.i 0.0514970 0.0645752i
\(436\) 486713. 73360.2i 0.122619 0.0184818i
\(437\) −937548. 639209.i −0.234850 0.160118i
\(438\) 696170. 1.77381e6i 0.173392 0.441797i
\(439\) −6.66000e6 2.05434e6i −1.64935 0.508757i −0.675771 0.737111i \(-0.736189\pi\)
−0.973578 + 0.228354i \(0.926666\pi\)
\(440\) 215846. 0.0531510
\(441\) 1.15495e6 + 1.85115e6i 0.282792 + 0.453257i
\(442\) −764055. −0.186024
\(443\) 3.77118e6 + 1.16326e6i 0.912994 + 0.281621i 0.715443 0.698671i \(-0.246225\pi\)
0.197551 + 0.980293i \(0.436701\pi\)
\(444\) 61240.5 156038.i 0.0147428 0.0375641i
\(445\) −3.90124e6 2.65982e6i −0.933904 0.636725i
\(446\) 1.80539e6 272119.i 0.429768 0.0647772i
\(447\) −2.55378e6 + 3.20234e6i −0.604526 + 0.758051i
\(448\) 1.12633e6 3.02082e6i 0.265138 0.711100i
\(449\) 1.03910e6 + 1.30299e6i 0.243244 + 0.305018i 0.888434 0.459004i \(-0.151794\pi\)
−0.645191 + 0.764021i \(0.723222\pi\)
\(450\) 1.00548e6 + 932948.i 0.234068 + 0.217183i
\(451\) 104225. + 15709.4i 0.0241285 + 0.00363679i
\(452\) −993243. + 921595.i −0.228670 + 0.212175i
\(453\) 4.58549e6 3.12633e6i 1.04988 0.715797i
\(454\) 319653. + 1.40049e6i 0.0727845 + 0.318890i
\(455\) 1.19249e6 + 4.84129e6i 0.270038 + 1.09631i
\(456\) −647265. + 2.83585e6i −0.145771 + 0.638662i
\(457\) −2.49753e6 6.36360e6i −0.559397 1.42532i −0.878566 0.477622i \(-0.841499\pi\)
0.319169 0.947698i \(-0.396596\pi\)
\(458\) −502260. 6.70220e6i −0.111883 1.49298i
\(459\) −445959. 772424.i −0.0988015 0.171129i
\(460\) 134954. 233747.i 0.0297365 0.0515052i
\(461\) −1.86524e6 898252.i −0.408773 0.196855i 0.218186 0.975907i \(-0.429986\pi\)
−0.626959 + 0.779053i \(0.715700\pi\)
\(462\) 9414.23 163003.i 0.00205201 0.0355297i
\(463\) 5.10119e6 2.45661e6i 1.10591 0.532578i 0.210397 0.977616i \(-0.432524\pi\)
0.895511 + 0.445038i \(0.146810\pi\)
\(464\) 38691.3 516300.i 0.00834293 0.111329i
\(465\) −2.73857e6 + 844737.i −0.587343 + 0.181171i
\(466\) 4.98396e6 1.53735e6i 1.06319 0.327950i
\(467\) −637035. + 8.50064e6i −0.135167 + 1.80368i 0.357975 + 0.933731i \(0.383467\pi\)
−0.493142 + 0.869949i \(0.664152\pi\)
\(468\) −374997. + 180589.i −0.0791431 + 0.0381133i
\(469\) −887752. 2.15290e6i −0.186363 0.451952i
\(470\) −1.02042e7 4.91408e6i −2.13076 1.02612i
\(471\) 886697. 1.53581e6i 0.184172 0.318995i
\(472\) 3.94956e6 + 6.84084e6i 0.816007 + 1.41337i
\(473\) −24034.3 320716.i −0.00493945 0.0659124i
\(474\) 1.68349e6 + 4.28946e6i 0.344163 + 0.876913i
\(475\) −649095. + 2.84387e6i −0.132000 + 0.578330i
\(476\) 103176. 134020.i 0.0208719 0.0271113i
\(477\) −1.00975e6 4.42400e6i −0.203197 0.890265i
\(478\) 5.30235e6 3.61508e6i 1.06145 0.723683i
\(479\) −1.76206e6 + 1.63495e6i −0.350899 + 0.325587i −0.835853 0.548953i \(-0.815027\pi\)
0.484954 + 0.874540i \(0.338836\pi\)
\(480\) −1.51983e6 229078.i −0.301088 0.0453817i
\(481\) −1.10020e6 1.02084e6i −0.216825 0.201185i
\(482\) −4.30365e6 5.39660e6i −0.843760 1.05804i
\(483\) 770546. + 506259.i 0.150290 + 0.0987427i
\(484\) −581217. + 728823.i −0.112778 + 0.141419i
\(485\) 4.14333e6 624507.i 0.799826 0.120554i
\(486\) −4.32058e6 2.94572e6i −0.829758 0.565719i
\(487\) −1.65452e6 + 4.21565e6i −0.316118 + 0.805456i 0.681188 + 0.732108i \(0.261464\pi\)
−0.997306 + 0.0733479i \(0.976632\pi\)
\(488\) 4.59079e6 + 1.41607e6i 0.872645 + 0.269175i
\(489\) −2.03450e6 −0.384756
\(490\) −6.58233e6 2.89681e6i −1.23848 0.545041i
\(491\) 5.20315e6 0.974008 0.487004 0.873400i \(-0.338090\pi\)
0.487004 + 0.873400i \(0.338090\pi\)
\(492\) −322856. 99587.9i −0.0601307 0.0185479i
\(493\) −36170.4 + 92160.7i −0.00670249 + 0.0170777i
\(494\) −4.76525e6 3.24889e6i −0.878554 0.598988i
\(495\) −172020. + 25927.8i −0.0315548 + 0.00475612i
\(496\) −2.83813e6 + 3.55890e6i −0.517998 + 0.649549i
\(497\) 7.00956e6 2.29421e6i 1.27292 0.416622i
\(498\) −1.55726e6 1.95274e6i −0.281376 0.352835i
\(499\) −2.48933e6 2.30976e6i −0.447540 0.415256i 0.423938 0.905691i \(-0.360647\pi\)
−0.871478 + 0.490435i \(0.836838\pi\)
\(500\) 561562. + 84641.8i 0.100455 + 0.0151412i
\(501\) −714717. + 663160.i −0.127215 + 0.118039i
\(502\) −317676. + 216588.i −0.0562632 + 0.0383596i
\(503\) −64271.0 281590.i −0.0113265 0.0496246i 0.968949 0.247261i \(-0.0795306\pi\)
−0.980275 + 0.197637i \(0.936673\pi\)
\(504\) −557935. + 2.65290e6i −0.0978378 + 0.465205i
\(505\) 373390. 1.63593e6i 0.0651529 0.285453i
\(506\) 28912.1 + 73666.8i 0.00501999 + 0.0127907i
\(507\) 52393.6 + 699143.i 0.00905228 + 0.120794i
\(508\) −28083.8 48642.6i −0.00482833 0.00836291i
\(509\) −5.06558e6 + 8.77384e6i −0.866631 + 1.50105i −0.00121332 + 0.999999i \(0.500386\pi\)
−0.865418 + 0.501050i \(0.832947\pi\)
\(510\) 922291. + 444152.i 0.157016 + 0.0756147i
\(511\) 3.72443e6 626712.i 0.630969 0.106173i
\(512\) 3.26176e6 1.57078e6i 0.549892 0.264814i
\(513\) 503125. 6.71374e6i 0.0844079 1.12634i
\(514\) 1.25528e6 387204.i 0.209572 0.0646445i
\(515\) −5.02496e6 + 1.54999e6i −0.834861 + 0.257521i
\(516\) −77041.8 + 1.02805e6i −0.0127380 + 0.169977i
\(517\) 459178. 221128.i 0.0755535 0.0363846i
\(518\) 2.13475e6 359215.i 0.349561 0.0588207i
\(519\) −5.52929e6 2.66277e6i −0.901054 0.433925i
\(520\) −3.09746e6 + 5.36496e6i −0.502340 + 0.870079i
\(521\) 1.51548e6 + 2.62490e6i 0.244600 + 0.423660i 0.962019 0.272982i \(-0.0880099\pi\)
−0.717419 + 0.696642i \(0.754677\pi\)
\(522\) 26260.8 + 350426.i 0.00421824 + 0.0562885i
\(523\) 1.03198e6 + 2.62944e6i 0.164974 + 0.420348i 0.989324 0.145733i \(-0.0465541\pi\)
−0.824349 + 0.566081i \(0.808459\pi\)
\(524\) 137837. 603904.i 0.0219300 0.0960815i
\(525\) 487791. 2.31937e6i 0.0772388 0.367259i
\(526\) −620668. 2.71932e6i −0.0978127 0.428545i
\(527\) 719193. 490337.i 0.112802 0.0769074i
\(528\) 176587. 163849.i 0.0275660 0.0255775i
\(529\) 5.92258e6 + 892685.i 0.920177 + 0.138694i
\(530\) 1.09639e7 + 1.01731e7i 1.69542 + 1.57312i
\(531\) −3.96937e6 4.97743e6i −0.610921 0.766071i
\(532\) 1.21336e6 397130.i 0.185871 0.0608350i
\(533\) −1.88613e6 + 2.36514e6i −0.287577 + 0.360611i
\(534\) −4.38813e6 + 661404.i −0.665927 + 0.100372i
\(535\) −7.42011e6 5.05895e6i −1.12079 0.764145i
\(536\) 1.05708e6 2.69339e6i 0.158926 0.404937i
\(537\) −7.46729e6 2.30335e6i −1.11745 0.344687i
\(538\) −4.77270e6 −0.710900
\(539\) 286590. 150303.i 0.0424903 0.0222841i
\(540\) 1.60143e6 0.236333
\(541\) −1.13623e7 3.50480e6i −1.66906 0.514838i −0.690948 0.722904i \(-0.742807\pi\)
−0.978115 + 0.208067i \(0.933283\pi\)
\(542\) 919200. 2.34208e6i 0.134404 0.342455i
\(543\) −1.62829e6 1.11015e6i −0.236990 0.161577i
\(544\) 461611. 69576.6i 0.0668773 0.0100801i
\(545\) −3.68139e6 + 4.61632e6i −0.530910 + 0.665740i
\(546\) 3.91644e6 + 2.57315e6i 0.562224 + 0.369389i
\(547\) 2.97805e6 + 3.73436e6i 0.425564 + 0.533640i 0.947675 0.319238i \(-0.103427\pi\)
−0.522111 + 0.852877i \(0.674855\pi\)
\(548\) 1.22311e6 + 1.13488e6i 0.173986 + 0.161436i
\(549\) −3.82877e6 577094.i −0.542161 0.0817175i
\(550\) 149130. 138372.i 0.0210212 0.0195048i
\(551\) −617471. + 420984.i −0.0866438 + 0.0590727i
\(552\) 254903. + 1.11680e6i 0.0356064 + 0.156002i
\(553\) −5.57139e6 + 7.23691e6i −0.774731 + 1.00633i
\(554\) −2.62100e6 + 1.14834e7i −0.362822 + 1.58963i
\(555\) 734633. + 1.87181e6i 0.101237 + 0.257947i
\(556\) −136897. 1.82676e6i −0.0187805 0.250608i
\(557\) 4.12771e6 + 7.14941e6i 0.563730 + 0.976410i 0.997167 + 0.0752254i \(0.0239676\pi\)
−0.433436 + 0.901184i \(0.642699\pi\)
\(558\) 1.54478e6 2.67564e6i 0.210030 0.363782i
\(559\) 8.31647e6 + 4.00500e6i 1.12567 + 0.542092i
\(560\) −4.04478e6 9.80908e6i −0.545036 1.32178i
\(561\) −41502.1 + 19986.4i −0.00556753 + 0.00268118i
\(562\) −914312. + 1.22006e7i −0.122111 + 1.62945i
\(563\) −2.38945e6 + 737046.i −0.317707 + 0.0979995i −0.449507 0.893277i \(-0.648400\pi\)
0.131801 + 0.991276i \(0.457924\pi\)
\(564\) −1.56110e6 + 481535.i −0.206648 + 0.0637426i
\(565\) 1.21464e6 1.62083e7i 0.160076 2.13607i
\(566\) 9.91686e6 4.77571e6i 1.30117 0.626609i
\(567\) −79603.1 + 1.37829e6i −0.0103985 + 0.180046i
\(568\) 8.25627e6 + 3.97601e6i 1.07377 + 0.517102i
\(569\) 4.96528e6 8.60012e6i 0.642929 1.11359i −0.341847 0.939756i \(-0.611052\pi\)
0.984776 0.173830i \(-0.0556143\pi\)
\(570\) 3.86353e6 + 6.69182e6i 0.498077 + 0.862695i
\(571\) −664521. 8.86741e6i −0.0852939 1.13817i −0.861523 0.507718i \(-0.830489\pi\)
0.776229 0.630451i \(-0.217130\pi\)
\(572\) 22553.2 + 57464.6i 0.00288216 + 0.00734362i
\(573\) 1.01683e6 4.45501e6i 0.129378 0.566843i
\(574\) −1.04356e6 4.23667e6i −0.132202 0.536717i
\(575\) 255624. + 1.11996e6i 0.0322427 + 0.141265i
\(576\) −2.66744e6 + 1.81863e6i −0.334996 + 0.228396i
\(577\) 3.24362e6 3.00964e6i 0.405592 0.376335i −0.450831 0.892610i \(-0.648872\pi\)
0.856423 + 0.516275i \(0.172682\pi\)
\(578\) 8.32476e6 + 1.25476e6i 1.03646 + 0.156221i
\(579\) −6.48716e6 6.01920e6i −0.804189 0.746178i
\(580\) −110833. 138980.i −0.0136804 0.0171546i
\(581\) 1.72947e6 4.63844e6i 0.212556 0.570074i
\(582\) 2.45538e6 3.07894e6i 0.300477 0.376786i
\(583\) −665513. + 100310.i −0.0810933 + 0.0122228i
\(584\) 3.87716e6 + 2.64340e6i 0.470416 + 0.320724i
\(585\) 1.82410e6 4.64772e6i 0.220373 0.561501i
\(586\) −1.28937e6 397718.i −0.155108 0.0478445i
\(587\) −3.06572e6 −0.367229 −0.183615 0.982998i \(-0.558780\pi\)
−0.183615 + 0.982998i \(0.558780\pi\)
\(588\) −980211. + 339494.i −0.116917 + 0.0404938i
\(589\) 6.57045e6 0.780382
\(590\) 2.00514e7 + 6.18505e6i 2.37146 + 0.731498i
\(591\) 742721. 1.89242e6i 0.0874696 0.222869i
\(592\) 2.63888e6 + 1.79916e6i 0.309468 + 0.210992i
\(593\) −2.88919e6 + 435475.i −0.337396 + 0.0508542i −0.315555 0.948907i \(-0.602191\pi\)
−0.0218405 + 0.999761i \(0.506953\pi\)
\(594\) −292754. + 367102.i −0.0340437 + 0.0426895i
\(595\) 186213. + 2.02035e6i 0.0215634 + 0.233957i
\(596\) 1.39266e6 + 1.74634e6i 0.160594 + 0.201379i
\(597\) 8.47892e6 + 7.86729e6i 0.973655 + 0.903420i
\(598\) −2.24593e6 338519.i −0.256828 0.0387106i
\(599\) 4.08624e6 3.79148e6i 0.465326 0.431759i −0.412342 0.911029i \(-0.635289\pi\)
0.877668 + 0.479270i \(0.159099\pi\)
\(600\) 2.43310e6 1.65886e6i 0.275919 0.188118i
\(601\) 2.79598e6 + 1.22500e7i 0.315754 + 1.38341i 0.844922 + 0.534890i \(0.179647\pi\)
−0.529168 + 0.848517i \(0.677496\pi\)
\(602\) −1.18947e7 + 5.98100e6i −1.33771 + 0.672640i
\(603\) −518911. + 2.27350e6i −0.0581165 + 0.254625i
\(604\) −1.10571e6 2.81730e6i −0.123324 0.314225i
\(605\) −835672. 1.11513e7i −0.0928213 1.23861i
\(606\) −788537. 1.36579e6i −0.0872249 0.151078i
\(607\) 6.09838e6 1.05627e7i 0.671804 1.16360i −0.305588 0.952164i \(-0.598853\pi\)
0.977392 0.211435i \(-0.0678137\pi\)
\(608\) 3.17482e6 + 1.52891e6i 0.348306 + 0.167735i
\(609\) 495779. 350590.i 0.0541683 0.0383050i
\(610\) 1.14984e7 5.53732e6i 1.25116 0.602525i
\(611\) −1.09310e6 + 1.45864e7i −0.118456 + 1.58068i
\(612\) −161843. + 49922.1i −0.0174669 + 0.00538783i
\(613\) 2.96230e6 913750.i 0.318404 0.0982146i −0.131434 0.991325i \(-0.541958\pi\)
0.449838 + 0.893110i \(0.351482\pi\)
\(614\) 593082. 7.91413e6i 0.0634883 0.847192i
\(615\) 3.65163e6 1.75853e6i 0.389313 0.187483i
\(616\) 386186. + 111924.i 0.0410058 + 0.0118842i
\(617\) −1.12999e7 5.44174e6i −1.19498 0.575473i −0.272741 0.962087i \(-0.587930\pi\)
−0.922242 + 0.386614i \(0.873645\pi\)
\(618\) −2.47115e6 + 4.28016e6i −0.260272 + 0.450805i
\(619\) 6.22347e6 + 1.07794e7i 0.652839 + 1.13075i 0.982431 + 0.186626i \(0.0597553\pi\)
−0.329592 + 0.944123i \(0.606911\pi\)
\(620\) 116793. + 1.55850e6i 0.0122022 + 0.162827i
\(621\) −968663. 2.46811e6i −0.100796 0.256824i
\(622\) 2.69156e6 1.17925e7i 0.278951 1.22216i
\(623\) −5.60079e6 6.78182e6i −0.578135 0.700046i
\(624\) 1.53846e6 + 6.74045e6i 0.158171 + 0.692991i
\(625\) −1.00658e7 + 6.86276e6i −1.03074 + 0.702747i
\(626\) −5.82584e6 + 5.40559e6i −0.594187 + 0.551325i
\(627\) −343825. 51823.3i −0.0349276 0.00526449i
\(628\) −708929. 657790.i −0.0717304 0.0665561i
\(629\) −380786. 477490.i −0.0383755 0.0481214i
\(630\) 3.70691e6 + 6.17414e6i 0.372101 + 0.619763i
\(631\) −6.94505e6 + 8.70881e6i −0.694387 + 0.870734i −0.996590 0.0825095i \(-0.973707\pi\)
0.302203 + 0.953244i \(0.402278\pi\)
\(632\) −1.12208e7 + 1.69127e6i −1.11746 + 0.168430i
\(633\) 778816. + 530988.i 0.0772548 + 0.0526715i
\(634\) −2.02830e6 + 5.16802e6i −0.200405 + 0.510624i
\(635\) 643845. + 198600.i 0.0633647 + 0.0195454i
\(636\) 2.15739e6 0.211488
\(637\) −376818. + 9.28027e6i −0.0367945 + 0.906175i
\(638\) 52119.9 0.00506935
\(639\) −7.05750e6 2.17695e6i −0.683752 0.210910i
\(640\) 5.57660e6 1.42090e7i 0.538170 1.37124i
\(641\) −2.33711e6 1.59341e6i −0.224664 0.153173i 0.445757 0.895154i \(-0.352934\pi\)
−0.670422 + 0.741980i \(0.733887\pi\)
\(642\) −8.34618e6 + 1.25798e6i −0.799190 + 0.120459i
\(643\) −1.09857e6 + 1.37756e6i −0.104785 + 0.131397i −0.831459 0.555586i \(-0.812494\pi\)
0.726674 + 0.686983i \(0.241065\pi\)
\(644\) 362663. 348236.i 0.0344579 0.0330871i
\(645\) −7.71067e6 9.66888e6i −0.729782 0.915117i
\(646\) −1.72040e6 1.59629e6i −0.162199 0.150498i
\(647\) 7.70883e6 + 1.16192e6i 0.723982 + 0.109123i 0.500687 0.865628i \(-0.333081\pi\)
0.223295 + 0.974751i \(0.428319\pi\)
\(648\) −1.25743e6 + 1.16672e6i −0.117638 + 0.109152i
\(649\) −780170. + 531911.i −0.0727072 + 0.0495710i
\(650\) 1.29925e6 + 5.69240e6i 0.120618 + 0.528460i
\(651\) −5.33782e6 + 91333.5i −0.493641 + 0.00844652i
\(652\) −246883. + 1.08166e6i −0.0227442 + 0.0996490i
\(653\) −3.99844e6 1.01879e7i −0.366951 0.934975i −0.988448 0.151559i \(-0.951571\pi\)
0.621497 0.783416i \(-0.286525\pi\)
\(654\) 414705. + 5.53385e6i 0.0379136 + 0.505921i
\(655\) 3.71533e6 + 6.43514e6i 0.338372 + 0.586077i
\(656\) 3.21877e6 5.57507e6i 0.292032 0.505814i
\(657\) −3.40747e6 1.64095e6i −0.307977 0.148314i
\(658\) −1.57090e7 1.40834e7i −1.41444 1.26807i
\(659\) 2.56182e6 1.23371e6i 0.229793 0.110662i −0.315445 0.948944i \(-0.602154\pi\)
0.545237 + 0.838282i \(0.316439\pi\)
\(660\) 6180.71 82475.9i 0.000552305 0.00737000i
\(661\) 1.72869e7 5.33231e6i 1.53891 0.474692i 0.594678 0.803964i \(-0.297280\pi\)
0.944235 + 0.329273i \(0.106803\pi\)
\(662\) −1.30285e7 + 4.01877e6i −1.15545 + 0.356408i
\(663\) 98798.2 1.31837e6i 0.00872901 0.116481i
\(664\) 5.54157e6 2.66868e6i 0.487767 0.234896i
\(665\) −7.42952e6 + 1.33923e7i −0.651489 + 1.17436i
\(666\) −1.95307e6 940550.i −0.170621 0.0821668i
\(667\) −147155. + 254880.i −0.0128074 + 0.0221830i
\(668\) 265847. + 460460.i 0.0230510 + 0.0399256i
\(669\) 236088. + 3.15038e6i 0.0203943 + 0.272143i
\(670\) −2.80808e6 7.15488e6i −0.241670 0.615766i
\(671\) −127791. + 559888.i −0.0109570 + 0.0480059i
\(672\) −2.60047e6 1.19795e6i −0.222141 0.102333i
\(673\) 2.87464e6 + 1.25946e7i 0.244650 + 1.07188i 0.936728 + 0.350059i \(0.113838\pi\)
−0.692078 + 0.721823i \(0.743304\pi\)
\(674\) 3.22644e6 2.19975e6i 0.273574 0.186519i
\(675\) −4.99641e6 + 4.63599e6i −0.422084 + 0.391637i
\(676\) 378065. + 56984.2i 0.0318200 + 0.00479609i
\(677\) 2.99493e6 + 2.77889e6i 0.251140 + 0.233024i 0.795689 0.605705i \(-0.207109\pi\)
−0.544549 + 0.838729i \(0.683299\pi\)
\(678\) −9.52451e6 1.19434e7i −0.795735 0.997820i
\(679\) 7.73699e6 + 1.03112e6i 0.644017 + 0.0858291i
\(680\) −1.57173e6 + 1.97089e6i −0.130349 + 0.163452i
\(681\) −2.45787e6 + 370464.i −0.203091 + 0.0306111i
\(682\) −378612. 258133.i −0.0311697 0.0212512i
\(683\) −6.68969e6 + 1.70451e7i −0.548724 + 1.39813i 0.340322 + 0.940309i \(0.389464\pi\)
−0.889046 + 0.457818i \(0.848631\pi\)
\(684\) −1.22166e6 376832.i −0.0998413 0.0307970i
\(685\) −2.00154e7 −1.62981
\(686\) −1.02749e7 8.59609e6i −0.833615 0.697414i
\(687\) 1.16295e7 0.940092
\(688\) −1.87702e7 5.78984e6i −1.51181 0.466333i
\(689\) 7.05709e6 1.79812e7i 0.566341 1.44301i
\(690\) 2.51428e6 + 1.71420e6i 0.201044 + 0.137069i
\(691\) −1.09767e7 + 1.65447e6i −0.874535 + 0.131815i −0.570945 0.820988i \(-0.693423\pi\)
−0.303589 + 0.952803i \(0.598185\pi\)
\(692\) −2.08666e6 + 2.61659e6i −0.165648 + 0.207716i
\(693\) −321219. 42809.2i −0.0254078 0.00338614i
\(694\) −1.31770e7 1.65235e7i −1.03853 1.30228i
\(695\) 1.61089e7 + 1.49468e7i 1.26504 + 1.17378i
\(696\) 746019. + 112444.i 0.0583750 + 0.00879861i
\(697\) −902384. + 837290.i −0.0703573 + 0.0652821i
\(698\) −1.91342e7 + 1.30454e7i −1.48652 + 1.01349i
\(699\) 2.00821e6 + 8.79856e6i 0.155459 + 0.681112i
\(700\) −1.17393e6 540791.i −0.0905517 0.0417143i
\(701\) −424589. + 1.86025e6i −0.0326343 + 0.142980i −0.988620 0.150432i \(-0.951934\pi\)
0.955986 + 0.293412i \(0.0947907\pi\)
\(702\) −4.92340e6 1.25446e7i −0.377070 0.960760i
\(703\) −344511. 4.59718e6i −0.0262914 0.350835i
\(704\) 239415. + 414679.i 0.0182062 + 0.0315341i
\(705\) 9.79868e6 1.69718e7i 0.742497 1.28604i
\(706\) 1.44947e6 + 698030.i 0.109446 + 0.0527063i
\(707\) 1.51635e6 2.73335e6i 0.114091 0.205658i
\(708\) 2.72702e6 1.31326e6i 0.204459 0.0984621i
\(709\) −471250. + 6.28839e6i −0.0352075 + 0.469812i 0.951537 + 0.307533i \(0.0995034\pi\)
−0.986745 + 0.162279i \(0.948116\pi\)
\(710\) 2.32616e7 7.17527e6i 1.73179 0.534186i
\(711\) 8.73936e6 2.69574e6i 0.648344 0.199988i
\(712\) 816666. 1.08976e7i 0.0603732 0.805625i
\(713\) 2.33130e6 1.12270e6i 0.171741 0.0827063i
\(714\) 1.41983e6 + 1.27291e6i 0.104230 + 0.0934441i
\(715\) −667192. 321303.i −0.0488074 0.0235044i
\(716\) −2.13075e6 + 3.69056e6i −0.155328 + 0.269036i
\(717\) 5.55216e6 + 9.61662e6i 0.403333 + 0.698594i
\(718\) 1.27852e6 + 1.70607e7i 0.0925546 + 1.23506i
\(719\) −830892. 2.11708e6i −0.0599408 0.152727i 0.897766 0.440473i \(-0.145189\pi\)
−0.957707 + 0.287746i \(0.907094\pi\)
\(720\) −2.36427e6 + 1.03585e7i −0.169967 + 0.744675i
\(721\) −9.79427e6 + 167586.i −0.701672 + 0.0120061i
\(722\) −554417. 2.42906e6i −0.0395817 0.173419i
\(723\) 9.86828e6 6.72808e6i 0.702095 0.478680i
\(724\) −787811. + 730982.i −0.0558567 + 0.0518275i
\(725\) 748128. + 112762.i 0.0528604 + 0.00796743i
\(726\) −7.70435e6 7.14859e6i −0.542493 0.503360i
\(727\) 6.53902e6 + 8.19967e6i 0.458856 + 0.575388i 0.956403 0.292049i \(-0.0943372\pi\)
−0.497547 + 0.867437i \(0.665766\pi\)
\(728\) −8.32385e6 + 7.99272e6i −0.582097 + 0.558941i
\(729\) 7.25495e6 9.09741e6i 0.505610 0.634014i
\(730\) 1.23263e7 1.85789e6i 0.856103 0.129037i
\(731\) 3.10347e6 + 2.11591e6i 0.214810 + 0.146455i
\(732\) 672546. 1.71362e6i 0.0463921 0.118205i
\(733\) 2.48675e7 + 7.67060e6i 1.70951 + 0.527314i 0.986534 0.163557i \(-0.0522969\pi\)
0.722977 + 0.690872i \(0.242773\pi\)
\(734\) 1.94757e7 1.33430
\(735\) 5.84956e6 1.09832e7i 0.399397 0.749911i
\(736\) 1.38772e6 0.0944297
\(737\) 330505. + 101947.i 0.0224135 + 0.00691364i
\(738\) −1.59629e6 + 4.06728e6i −0.107887 + 0.274893i
\(739\) 1.75130e7 + 1.19401e7i 1.17964 + 0.804264i 0.984305 0.176473i \(-0.0564689\pi\)
0.195333 + 0.980737i \(0.437421\pi\)
\(740\) 1.08432e6 163434.i 0.0727909 0.0109715i
\(741\) 6.22212e6 7.80229e6i 0.416287 0.522007i
\(742\) 1.43413e7 + 2.38866e7i 0.956269 + 1.59274i
\(743\) 1.89400e6 + 2.37500e6i 0.125866 + 0.157831i 0.840771 0.541390i \(-0.182102\pi\)
−0.714906 + 0.699221i \(0.753530\pi\)
\(744\) −4.86236e6 4.51161e6i −0.322043 0.298813i
\(745\) −2.64954e7 3.99354e6i −1.74896 0.263613i
\(746\) 5.45232e6 5.05901e6i 0.358702 0.332827i
\(747\) −4.09583e6 + 2.79249e6i −0.268559 + 0.183101i
\(748\) 5589.77 + 24490.4i 0.000365292 + 0.00160045i
\(749\) −1.06526e7 1.28990e7i −0.693830 0.840137i
\(750\) −1.42475e6 + 6.24224e6i −0.0924881 + 0.405217i
\(751\) 5.26558e6 + 1.34165e7i 0.340680 + 0.868038i 0.993841 + 0.110819i \(0.0353473\pi\)
−0.653161 + 0.757219i \(0.726557\pi\)
\(752\) −2.32614e6 3.10402e7i −0.150000 2.00161i
\(753\) −332642. 576153.i −0.0213791 0.0370297i
\(754\) −747940. + 1.29547e6i −0.0479114 + 0.0829849i
\(755\) 3.27103e7 + 1.57524e7i 2.08841 + 1.00573i
\(756\) 2.86524e6 + 830401.i 0.182329 + 0.0528425i
\(757\) 2.66135e7 1.28164e7i 1.68796 0.812878i 0.692116 0.721786i \(-0.256678\pi\)
0.995842 0.0910923i \(-0.0290358\pi\)
\(758\) −347899. + 4.64238e6i −0.0219928 + 0.293473i
\(759\) −130850. + 40361.9i −0.00824459 + 0.00254312i
\(760\) −1.81831e7 + 5.60876e6i −1.14192 + 0.352235i