Properties

Label 49.6.g.a.25.11
Level $49$
Weight $6$
Character 49.25
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 25.11
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.11459 + 0.343805i) q^{2} +(1.70006 + 4.33168i) q^{3} +(-25.3155 + 17.2598i) q^{4} +(-34.5506 - 5.20767i) q^{5} +(-3.38412 - 4.24356i) q^{6} +(61.0553 - 114.365i) q^{7} +(45.5542 - 57.1232i) q^{8} +(162.258 - 150.554i) q^{9} +O(q^{10})\) \(q+(-1.11459 + 0.343805i) q^{2} +(1.70006 + 4.33168i) q^{3} +(-25.3155 + 17.2598i) q^{4} +(-34.5506 - 5.20767i) q^{5} +(-3.38412 - 4.24356i) q^{6} +(61.0553 - 114.365i) q^{7} +(45.5542 - 57.1232i) q^{8} +(162.258 - 150.554i) q^{9} +(40.3001 - 6.07427i) q^{10} +(-26.0271 - 24.1496i) q^{11} +(-117.802 - 80.3161i) q^{12} +(43.5494 - 190.802i) q^{13} +(-28.7324 + 148.461i) q^{14} +(-36.1802 - 158.516i) q^{15} +(327.069 - 833.357i) q^{16} +(43.0935 - 575.043i) q^{17} +(-129.090 + 223.591i) q^{18} +(-534.755 - 926.222i) q^{19} +(964.551 - 464.503i) q^{20} +(599.189 + 70.0454i) q^{21} +(37.3123 + 17.9686i) q^{22} +(-140.050 - 1868.84i) q^{23} +(324.884 + 100.214i) q^{24} +(-1819.54 - 561.254i) q^{25} +(17.0592 + 227.639i) q^{26} +(1946.78 + 937.521i) q^{27} +(428.267 + 3949.00i) q^{28} +(-1556.28 + 749.465i) q^{29} +(94.8245 + 164.241i) q^{30} +(-864.764 + 1497.82i) q^{31} +(-252.755 + 3372.79i) q^{32} +(60.3608 - 153.797i) q^{33} +(149.671 + 655.752i) q^{34} +(-2705.07 + 3633.41i) q^{35} +(-1509.12 + 6611.90i) q^{36} +(-2637.51 - 1798.22i) q^{37} +(914.472 + 848.506i) q^{38} +(900.531 - 135.733i) q^{39} +(-1871.40 + 1736.41i) q^{40} +(2252.98 - 2825.14i) q^{41} +(-691.931 + 127.932i) q^{42} +(2976.43 + 3732.32i) q^{43} +(1075.71 + 162.137i) q^{44} +(-6390.16 + 4356.74i) q^{45} +(798.615 + 2034.84i) q^{46} +(2369.66 - 730.945i) q^{47} +4165.87 q^{48} +(-9351.51 - 13965.1i) q^{49} +2221.00 q^{50} +(2564.16 - 790.940i) q^{51} +(2190.74 + 5581.92i) q^{52} +(17608.0 - 12005.0i) q^{53} +(-2492.19 - 375.637i) q^{54} +(773.489 + 969.924i) q^{55} +(-3751.54 - 8697.46i) q^{56} +(3102.99 - 3891.02i) q^{57} +(1476.94 - 1370.40i) q^{58} +(-16756.7 + 2525.66i) q^{59} +(3651.87 + 3388.44i) q^{60} +(-16139.1 - 11003.5i) q^{61} +(448.900 - 1966.76i) q^{62} +(-7311.29 - 27748.7i) q^{63} +(5496.86 + 24083.3i) q^{64} +(-2498.29 + 6365.54i) q^{65} +(-14.4013 + 192.173i) q^{66} +(31556.5 - 54657.5i) q^{67} +(8834.21 + 15301.3i) q^{68} +(7857.13 - 3783.79i) q^{69} +(1765.86 - 4979.78i) q^{70} +(22611.2 + 10889.0i) q^{71} +(-1208.56 - 16127.1i) q^{72} +(-24504.1 - 7558.51i) q^{73} +(3557.98 + 1097.49i) q^{74} +(-662.154 - 8835.83i) q^{75} +(29524.0 + 14218.0i) q^{76} +(-4350.95 + 1502.12i) q^{77} +(-957.056 + 460.894i) q^{78} +(-33355.2 - 57773.0i) q^{79} +(-15640.3 + 27089.7i) q^{80} +(3268.12 - 43610.1i) q^{81} +(-1539.84 + 3923.46i) q^{82} +(17610.9 + 77158.3i) q^{83} +(-16377.7 + 8568.66i) q^{84} +(-4483.54 + 19643.7i) q^{85} +(-4600.69 - 3136.70i) q^{86} +(-5892.21 - 5467.17i) q^{87} +(-2565.15 + 386.634i) q^{88} +(-80902.0 + 75066.1i) q^{89} +(5624.53 - 7052.94i) q^{90} +(-19162.1 - 16630.0i) q^{91} +(35801.3 + 44893.4i) q^{92} +(-7958.21 - 1199.51i) q^{93} +(-2389.90 + 1629.41i) q^{94} +(13652.6 + 34786.4i) q^{95} +(-15039.5 + 4639.08i) q^{96} +103770. q^{97} +(15224.4 + 12350.3i) q^{98} -7858.93 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11459 + 0.343805i −0.197033 + 0.0607767i −0.391701 0.920092i \(-0.628113\pi\)
0.194668 + 0.980869i \(0.437637\pi\)
\(3\) 1.70006 + 4.33168i 0.109059 + 0.277878i 0.974976 0.222310i \(-0.0713597\pi\)
−0.865917 + 0.500187i \(0.833264\pi\)
\(4\) −25.3155 + 17.2598i −0.791110 + 0.539370i
\(5\) −34.5506 5.20767i −0.618060 0.0931576i −0.167453 0.985880i \(-0.553554\pi\)
−0.450607 + 0.892722i \(0.648792\pi\)
\(6\) −3.38412 4.24356i −0.0383767 0.0481229i
\(7\) 61.0553 114.365i 0.470954 0.882158i
\(8\) 45.5542 57.1232i 0.251654 0.315564i
\(9\) 162.258 150.554i 0.667730 0.619563i
\(10\) 40.3001 6.07427i 0.127440 0.0192085i
\(11\) −26.0271 24.1496i −0.0648551 0.0601767i 0.647079 0.762423i \(-0.275990\pi\)
−0.711934 + 0.702246i \(0.752181\pi\)
\(12\) −117.802 80.3161i −0.236156 0.161009i
\(13\) 43.5494 190.802i 0.0714699 0.313130i −0.926539 0.376198i \(-0.877231\pi\)
0.998009 + 0.0630677i \(0.0200884\pi\)
\(14\) −28.7324 + 148.461i −0.0391789 + 0.202438i
\(15\) −36.1802 158.516i −0.0415186 0.181905i
\(16\) 327.069 833.357i 0.319403 0.813825i
\(17\) 43.0935 575.043i 0.0361651 0.482589i −0.949488 0.313804i \(-0.898396\pi\)
0.985653 0.168785i \(-0.0539845\pi\)
\(18\) −129.090 + 223.591i −0.0939100 + 0.162657i
\(19\) −534.755 926.222i −0.339837 0.588615i 0.644565 0.764550i \(-0.277039\pi\)
−0.984402 + 0.175935i \(0.943705\pi\)
\(20\) 964.551 464.503i 0.539200 0.259665i
\(21\) 599.189 + 70.0454i 0.296494 + 0.0346602i
\(22\) 37.3123 + 17.9686i 0.0164360 + 0.00791514i
\(23\) −140.050 1868.84i −0.0552032 0.736635i −0.954293 0.298872i \(-0.903390\pi\)
0.899090 0.437764i \(-0.144229\pi\)
\(24\) 324.884 + 100.214i 0.115133 + 0.0355139i
\(25\) −1819.54 561.254i −0.582253 0.179601i
\(26\) 17.0592 + 227.639i 0.00494907 + 0.0660408i
\(27\) 1946.78 + 937.521i 0.513935 + 0.247498i
\(28\) 428.267 + 3949.00i 0.103233 + 0.951903i
\(29\) −1556.28 + 749.465i −0.343631 + 0.165484i −0.597737 0.801692i \(-0.703933\pi\)
0.254106 + 0.967176i \(0.418219\pi\)
\(30\) 94.8245 + 164.241i 0.0192361 + 0.0333179i
\(31\) −864.764 + 1497.82i −0.161619 + 0.279933i −0.935450 0.353460i \(-0.885005\pi\)
0.773830 + 0.633393i \(0.218338\pi\)
\(32\) −252.755 + 3372.79i −0.0436340 + 0.582256i
\(33\) 60.3608 153.797i 0.00964873 0.0245846i
\(34\) 149.671 + 655.752i 0.0222045 + 0.0972842i
\(35\) −2705.07 + 3633.41i −0.373257 + 0.501354i
\(36\) −1509.12 + 6611.90i −0.194074 + 0.850296i
\(37\) −2637.51 1798.22i −0.316730 0.215943i 0.394511 0.918891i \(-0.370914\pi\)
−0.711241 + 0.702948i \(0.751866\pi\)
\(38\) 914.472 + 848.506i 0.102733 + 0.0953226i
\(39\) 900.531 135.733i 0.0948063 0.0142897i
\(40\) −1871.40 + 1736.41i −0.184934 + 0.171594i
\(41\) 2252.98 2825.14i 0.209313 0.262471i −0.666082 0.745879i \(-0.732030\pi\)
0.875395 + 0.483408i \(0.160601\pi\)
\(42\) −691.931 + 127.932i −0.0605257 + 0.0111907i
\(43\) 2976.43 + 3732.32i 0.245485 + 0.307828i 0.889274 0.457375i \(-0.151210\pi\)
−0.643789 + 0.765203i \(0.722639\pi\)
\(44\) 1075.71 + 162.137i 0.0837650 + 0.0126255i
\(45\) −6390.16 + 4356.74i −0.470414 + 0.320723i
\(46\) 798.615 + 2034.84i 0.0556472 + 0.141787i
\(47\) 2369.66 730.945i 0.156474 0.0482658i −0.215529 0.976498i \(-0.569147\pi\)
0.372003 + 0.928232i \(0.378671\pi\)
\(48\) 4165.87 0.260978
\(49\) −9351.51 13965.1i −0.556406 0.830911i
\(50\) 2221.00 0.125639
\(51\) 2564.16 790.940i 0.138045 0.0425812i
\(52\) 2190.74 + 5581.92i 0.112352 + 0.286269i
\(53\) 17608.0 12005.0i 0.861036 0.587045i −0.0502876 0.998735i \(-0.516014\pi\)
0.911324 + 0.411690i \(0.135061\pi\)
\(54\) −2492.19 375.637i −0.116304 0.0175301i
\(55\) 773.489 + 969.924i 0.0344784 + 0.0432346i
\(56\) −3751.54 8697.46i −0.159860 0.370614i
\(57\) 3102.99 3891.02i 0.126501 0.158627i
\(58\) 1476.94 1370.40i 0.0576492 0.0534907i
\(59\) −16756.7 + 2525.66i −0.626698 + 0.0944595i −0.454710 0.890640i \(-0.650257\pi\)
−0.171988 + 0.985099i \(0.555019\pi\)
\(60\) 3651.87 + 3388.44i 0.130960 + 0.121513i
\(61\) −16139.1 11003.5i −0.555335 0.378621i 0.252890 0.967495i \(-0.418619\pi\)
−0.808225 + 0.588874i \(0.799571\pi\)
\(62\) 448.900 1966.76i 0.0148310 0.0649788i
\(63\) −7311.29 27748.7i −0.232083 0.880828i
\(64\) 5496.86 + 24083.3i 0.167751 + 0.734964i
\(65\) −2498.29 + 6365.54i −0.0733432 + 0.186875i
\(66\) −14.4013 + 192.173i −0.000406952 + 0.00543040i
\(67\) 31556.5 54657.5i 0.858820 1.48752i −0.0142359 0.999899i \(-0.504532\pi\)
0.873056 0.487621i \(-0.162135\pi\)
\(68\) 8834.21 + 15301.3i 0.231684 + 0.401288i
\(69\) 7857.13 3783.79i 0.198674 0.0956764i
\(70\) 1765.86 4979.78i 0.0430735 0.121469i
\(71\) 22611.2 + 10889.0i 0.532325 + 0.256354i 0.680681 0.732580i \(-0.261684\pi\)
−0.148356 + 0.988934i \(0.547398\pi\)
\(72\) −1208.56 16127.1i −0.0274749 0.366627i
\(73\) −24504.1 7558.51i −0.538185 0.166008i 0.0137344 0.999906i \(-0.495628\pi\)
−0.551919 + 0.833898i \(0.686104\pi\)
\(74\) 3557.98 + 1097.49i 0.0755307 + 0.0232981i
\(75\) −662.154 8835.83i −0.0135927 0.181382i
\(76\) 29524.0 + 14218.0i 0.586330 + 0.282362i
\(77\) −4350.95 + 1502.12i −0.0836291 + 0.0288720i
\(78\) −957.056 + 460.894i −0.0178115 + 0.00857757i
\(79\) −33355.2 57773.0i −0.601307 1.04149i −0.992623 0.121238i \(-0.961313\pi\)
0.391316 0.920256i \(-0.372020\pi\)
\(80\) −15640.3 + 27089.7i −0.273224 + 0.473238i
\(81\) 3268.12 43610.1i 0.0553460 0.738540i
\(82\) −1539.84 + 3923.46i −0.0252896 + 0.0644369i
\(83\) 17610.9 + 77158.3i 0.280599 + 1.22938i 0.897028 + 0.441973i \(0.145721\pi\)
−0.616430 + 0.787410i \(0.711422\pi\)
\(84\) −16377.7 + 8568.66i −0.253254 + 0.132500i
\(85\) −4483.54 + 19643.7i −0.0673090 + 0.294900i
\(86\) −4600.69 3136.70i −0.0670774 0.0457326i
\(87\) −5892.21 5467.17i −0.0834603 0.0774399i
\(88\) −2565.15 + 386.634i −0.0353106 + 0.00532222i
\(89\) −80902.0 + 75066.1i −1.08264 + 1.00454i −0.0826726 + 0.996577i \(0.526346\pi\)
−0.999968 + 0.00796719i \(0.997464\pi\)
\(90\) 5624.53 7052.94i 0.0731948 0.0917833i
\(91\) −19162.1 16630.0i −0.242571 0.210518i
\(92\) 35801.3 + 44893.4i 0.440991 + 0.552985i
\(93\) −7958.21 1199.51i −0.0954131 0.0143812i
\(94\) −2389.90 + 1629.41i −0.0278972 + 0.0190200i
\(95\) 13652.6 + 34786.4i 0.155206 + 0.395458i
\(96\) −15039.5 + 4639.08i −0.166554 + 0.0513753i
\(97\) 103770. 1.11980 0.559902 0.828559i \(-0.310839\pi\)
0.559902 + 0.828559i \(0.310839\pi\)
\(98\) 15224.4 + 12350.3i 0.160131 + 0.129901i
\(99\) −7858.93 −0.0805889
\(100\) 55749.8 17196.5i 0.557498 0.171965i
\(101\) 72639.8 + 185083.i 0.708551 + 1.80536i 0.581643 + 0.813444i \(0.302410\pi\)
0.126908 + 0.991914i \(0.459495\pi\)
\(102\) −2586.06 + 1763.15i −0.0246115 + 0.0167798i
\(103\) −198270. 29884.4i −1.84147 0.277557i −0.866381 0.499383i \(-0.833560\pi\)
−0.975086 + 0.221826i \(0.928798\pi\)
\(104\) −8915.37 11179.5i −0.0808269 0.101354i
\(105\) −20337.6 5540.49i −0.180022 0.0490427i
\(106\) −15498.4 + 19434.3i −0.133974 + 0.167998i
\(107\) 88393.2 82016.9i 0.746379 0.692538i −0.212244 0.977217i \(-0.568077\pi\)
0.958623 + 0.284678i \(0.0918868\pi\)
\(108\) −65465.3 + 9867.31i −0.540072 + 0.0814028i
\(109\) 55678.7 + 51662.3i 0.448873 + 0.416493i 0.871946 0.489603i \(-0.162858\pi\)
−0.423073 + 0.906096i \(0.639049\pi\)
\(110\) −1195.59 815.137i −0.00942105 0.00642317i
\(111\) 3305.41 14481.9i 0.0254635 0.111563i
\(112\) −75337.3 88285.9i −0.567499 0.665038i
\(113\) 22290.7 + 97661.8i 0.164220 + 0.719497i 0.988237 + 0.152931i \(0.0488712\pi\)
−0.824017 + 0.566566i \(0.808272\pi\)
\(114\) −2120.80 + 5403.71i −0.0152840 + 0.0389430i
\(115\) −4893.48 + 65298.9i −0.0345043 + 0.460428i
\(116\) 26462.4 45834.2i 0.182593 0.316261i
\(117\) −21659.7 37515.8i −0.146281 0.253367i
\(118\) 17808.5 8576.11i 0.117739 0.0567003i
\(119\) −63133.4 40037.8i −0.408688 0.259180i
\(120\) −10703.1 5154.33i −0.0678509 0.0326752i
\(121\) −11941.2 159344.i −0.0741451 0.989398i
\(122\) 21771.5 + 6715.63i 0.132431 + 0.0408495i
\(123\) 16067.8 + 4956.27i 0.0957622 + 0.0295387i
\(124\) −3960.09 52843.7i −0.0231287 0.308631i
\(125\) 158320. + 76243.1i 0.906279 + 0.436441i
\(126\) 17689.2 + 28414.7i 0.0992619 + 0.159447i
\(127\) −36263.8 + 17463.7i −0.199510 + 0.0960789i −0.530971 0.847390i \(-0.678173\pi\)
0.331461 + 0.943469i \(0.392458\pi\)
\(128\) −68522.6 118685.i −0.369665 0.640279i
\(129\) −11107.1 + 19238.1i −0.0587662 + 0.101786i
\(130\) 596.062 7953.89i 0.00309338 0.0412782i
\(131\) −475.820 + 1212.37i −0.00242250 + 0.00617244i −0.932080 0.362253i \(-0.882008\pi\)
0.929657 + 0.368425i \(0.120103\pi\)
\(132\) 1126.44 + 4935.27i 0.00562697 + 0.0246533i
\(133\) −138577. + 4606.24i −0.679299 + 0.0225797i
\(134\) −16381.0 + 71769.9i −0.0788095 + 0.345287i
\(135\) −62380.2 42530.1i −0.294586 0.200846i
\(136\) −30885.2 28657.3i −0.143187 0.132858i
\(137\) 267465. 40313.9i 1.21749 0.183507i 0.491295 0.870993i \(-0.336524\pi\)
0.726198 + 0.687486i \(0.241286\pi\)
\(138\) −7456.58 + 6918.70i −0.0333305 + 0.0309262i
\(139\) 121376. 152201.i 0.532841 0.668161i −0.440439 0.897782i \(-0.645177\pi\)
0.973280 + 0.229621i \(0.0737487\pi\)
\(140\) 5768.20 138671.i 0.0248726 0.597950i
\(141\) 7194.79 + 9021.98i 0.0304769 + 0.0382168i
\(142\) −28945.8 4362.88i −0.120466 0.0181574i
\(143\) −5741.26 + 3914.33i −0.0234783 + 0.0160073i
\(144\) −72395.4 184461.i −0.290941 0.741306i
\(145\) 57673.4 17789.9i 0.227801 0.0702672i
\(146\) 29910.6 0.116130
\(147\) 44594.3 64249.3i 0.170210 0.245231i
\(148\) 97807.0 0.367042
\(149\) 309020. 95320.1i 1.14031 0.351738i 0.333613 0.942710i \(-0.391732\pi\)
0.806692 + 0.590972i \(0.201256\pi\)
\(150\) 3775.83 + 9620.67i 0.0137020 + 0.0349122i
\(151\) 49953.8 34057.9i 0.178290 0.121556i −0.470887 0.882194i \(-0.656066\pi\)
0.649177 + 0.760638i \(0.275114\pi\)
\(152\) −77269.1 11646.4i −0.271267 0.0408869i
\(153\) −79582.5 99793.4i −0.274846 0.344646i
\(154\) 4333.09 3170.12i 0.0147230 0.0107714i
\(155\) 37678.3 47247.0i 0.125968 0.157959i
\(156\) −20454.7 + 18979.2i −0.0672948 + 0.0624404i
\(157\) −114735. + 17293.5i −0.371490 + 0.0559931i −0.332134 0.943232i \(-0.607769\pi\)
−0.0393558 + 0.999225i \(0.512531\pi\)
\(158\) 57040.0 + 52925.4i 0.181776 + 0.168664i
\(159\) 81936.4 + 55863.3i 0.257030 + 0.175240i
\(160\) 26297.2 115216.i 0.0812100 0.355804i
\(161\) −222280. 98085.8i −0.675827 0.298223i
\(162\) 11350.8 + 49730.9i 0.0339811 + 0.148881i
\(163\) −187255. + 477117.i −0.552031 + 1.40655i 0.333844 + 0.942628i \(0.391654\pi\)
−0.885875 + 0.463924i \(0.846441\pi\)
\(164\) −8273.79 + 110406.i −0.0240212 + 0.320541i
\(165\) −2886.43 + 4999.44i −0.00825374 + 0.0142959i
\(166\) −46156.3 79945.0i −0.130005 0.225176i
\(167\) −457867. + 220497.i −1.27042 + 0.611803i −0.942911 0.333044i \(-0.891924\pi\)
−0.327511 + 0.944847i \(0.606210\pi\)
\(168\) 31296.8 31036.7i 0.0855513 0.0848403i
\(169\) 300014. + 144479.i 0.808026 + 0.389125i
\(170\) −1756.29 23436.1i −0.00466095 0.0621960i
\(171\) −226215. 69778.0i −0.591603 0.182485i
\(172\) −139769. 43113.1i −0.360239 0.111119i
\(173\) 52241.3 + 697111.i 0.132708 + 1.77087i 0.525069 + 0.851060i \(0.324039\pi\)
−0.392361 + 0.919811i \(0.628341\pi\)
\(174\) 8447.03 + 4067.88i 0.0211510 + 0.0101858i
\(175\) −175280. + 173823.i −0.432651 + 0.429055i
\(176\) −28637.9 + 13791.3i −0.0696882 + 0.0335601i
\(177\) −39427.8 68290.9i −0.0945952 0.163844i
\(178\) 64364.4 111482.i 0.152263 0.263728i
\(179\) −24695.4 + 329537.i −0.0576081 + 0.768727i 0.891348 + 0.453319i \(0.149760\pi\)
−0.948956 + 0.315408i \(0.897859\pi\)
\(180\) 86573.7 220586.i 0.199161 0.507454i
\(181\) 99433.0 + 435644.i 0.225597 + 0.988407i 0.953184 + 0.302391i \(0.0977848\pi\)
−0.727587 + 0.686016i \(0.759358\pi\)
\(182\) 27075.3 + 11947.6i 0.0605892 + 0.0267363i
\(183\) 20226.0 88616.1i 0.0446461 0.195607i
\(184\) −113134. 77133.4i −0.246348 0.167957i
\(185\) 81763.0 + 75865.0i 0.175642 + 0.162972i
\(186\) 9282.53 1399.12i 0.0196736 0.00296532i
\(187\) −15008.7 + 13926.0i −0.0313861 + 0.0291221i
\(188\) −47373.3 + 59404.3i −0.0977551 + 0.122581i
\(189\) 226081. 165402.i 0.460372 0.336812i
\(190\) −27176.8 34078.7i −0.0546153 0.0684855i
\(191\) 364597. + 54954.2i 0.723153 + 0.108998i 0.500297 0.865854i \(-0.333224\pi\)
0.222856 + 0.974851i \(0.428462\pi\)
\(192\) −94976.3 + 64753.7i −0.185935 + 0.126769i
\(193\) −35623.1 90766.3i −0.0688397 0.175401i 0.892313 0.451416i \(-0.149081\pi\)
−0.961153 + 0.276016i \(0.910986\pi\)
\(194\) −115661. + 35676.6i −0.220639 + 0.0680580i
\(195\) −31820.8 −0.0599272
\(196\) 477774. + 192129.i 0.888347 + 0.357234i
\(197\) 43662.0 0.0801565 0.0400782 0.999197i \(-0.487239\pi\)
0.0400782 + 0.999197i \(0.487239\pi\)
\(198\) 8759.47 2701.94i 0.0158787 0.00489793i
\(199\) −131384. 334762.i −0.235186 0.599244i 0.763743 0.645521i \(-0.223360\pi\)
−0.998929 + 0.0462770i \(0.985264\pi\)
\(200\) −114948. + 78370.4i −0.203202 + 0.138541i
\(201\) 290407. + 43771.8i 0.507010 + 0.0764195i
\(202\) −144596. 181318.i −0.249332 0.312652i
\(203\) −9306.86 + 223742.i −0.0158512 + 0.381072i
\(204\) −51261.7 + 64280.1i −0.0862417 + 0.108144i
\(205\) −92554.1 + 85877.7i −0.153819 + 0.142724i
\(206\) 231264. 34857.4i 0.379699 0.0572305i
\(207\) −304085. 282150.i −0.493253 0.457672i
\(208\) −144763. 98697.6i −0.232006 0.158179i
\(209\) −8449.80 + 37021.0i −0.0133808 + 0.0586249i
\(210\) 24572.9 816.793i 0.0384510 0.00127810i
\(211\) −155422. 680950.i −0.240330 1.05295i −0.940718 0.339190i \(-0.889847\pi\)
0.700388 0.713762i \(-0.253010\pi\)
\(212\) −238553. + 607824.i −0.364541 + 0.928834i
\(213\) −8727.19 + 116456.i −0.0131803 + 0.175879i
\(214\) −70324.2 + 121805.i −0.104971 + 0.181816i
\(215\) −83400.7 144454.i −0.123048 0.213125i
\(216\) 142238. 68498.4i 0.207435 0.0998955i
\(217\) 118499. + 190348.i 0.170830 + 0.274409i
\(218\) −79820.7 38439.6i −0.113756 0.0547820i
\(219\) −8917.35 118994.i −0.0125639 0.167654i
\(220\) −36322.0 11203.9i −0.0505957 0.0156067i
\(221\) −107843. 33265.1i −0.148529 0.0458150i
\(222\) 1294.79 + 17277.8i 0.00176327 + 0.0235292i
\(223\) −148478. 71503.2i −0.199940 0.0962860i 0.331235 0.943548i \(-0.392535\pi\)
−0.531175 + 0.847262i \(0.678249\pi\)
\(224\) 370295. + 234833.i 0.493092 + 0.312708i
\(225\) −379734. + 182870.i −0.500062 + 0.240817i
\(226\) −58421.6 101189.i −0.0760855 0.131784i
\(227\) 624839. 1.08225e6i 0.804829 1.39400i −0.111577 0.993756i \(-0.535590\pi\)
0.916406 0.400249i \(-0.131076\pi\)
\(228\) −11395.3 + 152060.i −0.0145174 + 0.193722i
\(229\) 381601. 972305.i 0.480863 1.22522i −0.460451 0.887685i \(-0.652312\pi\)
0.941314 0.337533i \(-0.109593\pi\)
\(230\) −16995.9 74463.8i −0.0211848 0.0928166i
\(231\) −13903.6 16293.2i −0.0171434 0.0200899i
\(232\) −28083.3 + 123041.i −0.0342553 + 0.150082i
\(233\) −29246.4 19939.8i −0.0352925 0.0240620i 0.545545 0.838081i \(-0.316323\pi\)
−0.580838 + 0.814019i \(0.697275\pi\)
\(234\) 37039.8 + 34367.9i 0.0442211 + 0.0410312i
\(235\) −85679.9 + 12914.2i −0.101207 + 0.0152545i
\(236\) 380612. 353156.i 0.444839 0.412750i
\(237\) 193548. 242702.i 0.223830 0.280674i
\(238\) 84133.0 + 22920.0i 0.0962773 + 0.0262285i
\(239\) −951773. 1.19349e6i −1.07780 1.35152i −0.932104 0.362190i \(-0.882029\pi\)
−0.145696 0.989329i \(-0.546542\pi\)
\(240\) −143934. 21694.5i −0.161300 0.0243120i
\(241\) 639390. 435929.i 0.709126 0.483474i −0.154252 0.988032i \(-0.549297\pi\)
0.863378 + 0.504558i \(0.168344\pi\)
\(242\) 68092.6 + 173497.i 0.0747415 + 0.190438i
\(243\) 696200. 214749.i 0.756342 0.233301i
\(244\) 598488. 0.643548
\(245\) 250375. + 531203.i 0.266486 + 0.565386i
\(246\) −19613.0 −0.0206636
\(247\) −200014. + 61696.0i −0.208601 + 0.0643450i
\(248\) 46166.3 + 117630.i 0.0476646 + 0.121447i
\(249\) −304285. + 207458.i −0.311016 + 0.212047i
\(250\) −202675. 30548.3i −0.205093 0.0309127i
\(251\) −937613. 1.17573e6i −0.939376 1.17794i −0.983862 0.178930i \(-0.942737\pi\)
0.0444863 0.999010i \(-0.485835\pi\)
\(252\) 664027. + 576282.i 0.658695 + 0.571654i
\(253\) −41486.7 + 52022.6i −0.0407481 + 0.0510965i
\(254\) 34415.1 31932.6i 0.0334707 0.0310563i
\(255\) −92712.4 + 13974.1i −0.0892868 + 0.0134578i
\(256\) −462288. 428940.i −0.440872 0.409069i
\(257\) 767449. + 523238.i 0.724798 + 0.494159i 0.868641 0.495442i \(-0.164994\pi\)
−0.143843 + 0.989600i \(0.545946\pi\)
\(258\) 5765.72 25261.3i 0.00539268 0.0236269i
\(259\) −366687. + 191847.i −0.339661 + 0.177707i
\(260\) −46622.7 204267.i −0.0427724 0.187398i
\(261\) −139685. + 355911.i −0.126925 + 0.323400i
\(262\) 113.525 1514.88i 0.000102173 0.00136341i
\(263\) −547357. + 948050.i −0.487957 + 0.845166i −0.999904 0.0138509i \(-0.995591\pi\)
0.511947 + 0.859017i \(0.328924\pi\)
\(264\) −6035.68 10454.1i −0.00532986 0.00923159i
\(265\) −670887. + 323082.i −0.586860 + 0.282617i
\(266\) 152872. 52777.4i 0.132472 0.0457345i
\(267\) −462701. 222825.i −0.397212 0.191287i
\(268\) 144509. + 1.92834e6i 0.122902 + 1.64001i
\(269\) 1.56141e6 + 481631.i 1.31564 + 0.405820i 0.871613 0.490194i \(-0.163074\pi\)
0.444024 + 0.896015i \(0.353550\pi\)
\(270\) 84150.4 + 25957.0i 0.0702501 + 0.0216693i
\(271\) −1691.51 22571.6i −0.00139911 0.0186698i 0.996461 0.0840617i \(-0.0267893\pi\)
−0.997860 + 0.0653919i \(0.979170\pi\)
\(272\) −465121. 223991.i −0.381192 0.183573i
\(273\) 39459.1 111276.i 0.0320435 0.0903639i
\(274\) −284254. + 136889.i −0.228734 + 0.110152i
\(275\) 33803.3 + 58549.0i 0.0269542 + 0.0466861i
\(276\) −133600. + 231402.i −0.105568 + 0.182849i
\(277\) −27327.5 + 364660.i −0.0213993 + 0.285554i 0.976230 + 0.216737i \(0.0695415\pi\)
−0.997629 + 0.0688171i \(0.978078\pi\)
\(278\) −82957.3 + 211372.i −0.0643787 + 0.164034i
\(279\) 85186.5 + 373227.i 0.0655180 + 0.287053i
\(280\) 84324.6 + 320039.i 0.0642775 + 0.243954i
\(281\) 251177. 1.10048e6i 0.189764 0.831409i −0.786976 0.616983i \(-0.788355\pi\)
0.976740 0.214426i \(-0.0687882\pi\)
\(282\) −11121.0 7582.20i −0.00832765 0.00567770i
\(283\) −683078. 633803.i −0.506995 0.470423i 0.384711 0.923037i \(-0.374301\pi\)
−0.891707 + 0.452614i \(0.850492\pi\)
\(284\) −760356. + 114605.i −0.559398 + 0.0843157i
\(285\) −127473. + 118278.i −0.0929623 + 0.0862564i
\(286\) 5053.38 6336.74i 0.00365315 0.00458090i
\(287\) −185540. 430151.i −0.132964 0.308259i
\(288\) 466774. + 585316.i 0.331608 + 0.415824i
\(289\) 1.07518e6 + 162058.i 0.757246 + 0.114137i
\(290\) −58165.8 + 39656.8i −0.0406137 + 0.0276900i
\(291\) 176415. + 449498.i 0.122124 + 0.311168i
\(292\) 750793. 231589.i 0.515303 0.158950i
\(293\) −2.23864e6 −1.52341 −0.761704 0.647926i \(-0.775637\pi\)
−0.761704 + 0.647926i \(0.775637\pi\)
\(294\) −27615.1 + 86943.3i −0.0186328 + 0.0586635i
\(295\) 592107. 0.396137
\(296\) −222870. + 68746.2i −0.147850 + 0.0456057i
\(297\) −28028.3 71415.0i −0.0184377 0.0469784i
\(298\) −311659. + 212485.i −0.203301 + 0.138608i
\(299\) −362678. 54664.9i −0.234608 0.0353615i
\(300\) 169268. + 212255.i 0.108585 + 0.136162i
\(301\) 608572. 112520.i 0.387165 0.0715836i
\(302\) −43968.7 + 55135.0i −0.0277412 + 0.0347864i
\(303\) −678229. + 629305.i −0.424395 + 0.393781i
\(304\) −946776. + 142703.i −0.587575 + 0.0885626i
\(305\) 500314. + 464224.i 0.307959 + 0.285744i
\(306\) 123011. + 83867.7i 0.0751003 + 0.0512025i
\(307\) −67073.0 + 293866.i −0.0406164 + 0.177952i −0.991167 0.132616i \(-0.957662\pi\)
0.950551 + 0.310568i \(0.100519\pi\)
\(308\) 84220.4 113124.i 0.0505872 0.0679480i
\(309\) −207621. 909648.i −0.123702 0.541972i
\(310\) −25752.0 + 65615.0i −0.0152197 + 0.0387792i
\(311\) 127860. 1.70617e6i 0.0749608 1.00028i −0.825233 0.564793i \(-0.808956\pi\)
0.900194 0.435490i \(-0.143425\pi\)
\(312\) 33269.5 57624.4i 0.0193490 0.0335135i
\(313\) 1.40083e6 + 2.42631e6i 0.808212 + 1.39986i 0.914101 + 0.405486i \(0.132898\pi\)
−0.105890 + 0.994378i \(0.533769\pi\)
\(314\) 121937. 58721.7i 0.0697928 0.0336105i
\(315\) 108103. + 996809.i 0.0613851 + 0.566025i
\(316\) 1.84156e6 + 886848.i 1.03745 + 0.499610i
\(317\) −89555.5 1.19504e6i −0.0500546 0.667933i −0.964645 0.263552i \(-0.915106\pi\)
0.914591 0.404381i \(-0.132513\pi\)
\(318\) −110531. 34094.5i −0.0612940 0.0189067i
\(319\) 58604.7 + 18077.2i 0.0322445 + 0.00994611i
\(320\) −64502.0 860719.i −0.0352126 0.469879i
\(321\) 505545. + 243458.i 0.273840 + 0.131874i
\(322\) 281473. + 32904.3i 0.151285 + 0.0176853i
\(323\) −555662. + 267593.i −0.296350 + 0.142714i
\(324\) 669969. + 1.16042e6i 0.354562 + 0.614119i
\(325\) −186328. + 322730.i −0.0978522 + 0.169485i
\(326\) 44676.7 596169.i 0.0232829 0.310688i
\(327\) −129128. + 329012.i −0.0667805 + 0.170154i
\(328\) −58748.6 257394.i −0.0301518 0.132104i
\(329\) 61086.3 315634.i 0.0311139 0.160766i
\(330\) 1498.35 6564.68i 0.000757404 0.00331840i
\(331\) −54814.4 37371.8i −0.0274995 0.0187488i 0.549492 0.835499i \(-0.314821\pi\)
−0.576992 + 0.816750i \(0.695774\pi\)
\(332\) −1.77757e6 1.64934e6i −0.885077 0.821231i
\(333\) −698687. + 105310.i −0.345280 + 0.0520427i
\(334\) 434525. 403181.i 0.213132 0.197758i
\(335\) −1.37493e6 + 1.72411e6i −0.669376 + 0.839371i
\(336\) 254349. 476428.i 0.122908 0.230223i
\(337\) −541501. 679021.i −0.259732 0.325693i 0.634818 0.772662i \(-0.281075\pi\)
−0.894550 + 0.446968i \(0.852504\pi\)
\(338\) −384066. 57888.6i −0.182858 0.0275614i
\(339\) −385144. + 262587.i −0.182022 + 0.124101i
\(340\) −225543. 574675.i −0.105811 0.269603i
\(341\) 58679.0 18100.1i 0.0273273 0.00842935i
\(342\) 276126. 0.127656
\(343\) −2.16807e6 + 216837.i −0.995036 + 0.0995172i
\(344\) 348791. 0.158917
\(345\) −291173. + 89815.1i −0.131705 + 0.0406258i
\(346\) −297898. 759032.i −0.133776 0.340855i
\(347\) 1.79515e6 1.22391e6i 0.800344 0.545665i −0.0926687 0.995697i \(-0.529540\pi\)
0.893013 + 0.450032i \(0.148587\pi\)
\(348\) 243527. + 36705.8i 0.107795 + 0.0162475i
\(349\) 393264. + 493137.i 0.172831 + 0.216723i 0.860701 0.509111i \(-0.170026\pi\)
−0.687870 + 0.725834i \(0.741454\pi\)
\(350\) 135604. 254004.i 0.0591700 0.110833i
\(351\) 263662. 330622.i 0.114230 0.143240i
\(352\) 88030.0 81679.9i 0.0378681 0.0351365i
\(353\) 1.09212e6 164610.i 0.466479 0.0703105i 0.0884029 0.996085i \(-0.471824\pi\)
0.378077 + 0.925774i \(0.376586\pi\)
\(354\) 67424.5 + 62560.8i 0.0285963 + 0.0265335i
\(355\) −724524. 493972.i −0.305128 0.208033i
\(356\) 752449. 3.29669e6i 0.314668 1.37865i
\(357\) 66100.2 341540.i 0.0274494 0.141831i
\(358\) −85771.4 375789.i −0.0353700 0.154966i
\(359\) 1.16782e6 2.97557e6i 0.478235 1.21852i −0.464676 0.885481i \(-0.653829\pi\)
0.942912 0.333043i \(-0.108075\pi\)
\(360\) −42228.0 + 563494.i −0.0171729 + 0.229157i
\(361\) 666124. 1.15376e6i 0.269022 0.465959i
\(362\) −260604. 451379.i −0.104522 0.181038i
\(363\) 669925. 322619.i 0.266845 0.128506i
\(364\) 772130. + 90262.3i 0.305448 + 0.0357070i
\(365\) 807269. + 388760.i 0.317166 + 0.152739i
\(366\) 7922.94 + 105724.i 0.00309160 + 0.0412546i
\(367\) 4.13508e6 + 1.27550e6i 1.60258 + 0.494330i 0.961882 0.273466i \(-0.0881700\pi\)
0.640695 + 0.767795i \(0.278646\pi\)
\(368\) −1.60322e6 494527.i −0.617125 0.190358i
\(369\) −59771.6 797597.i −0.0228523 0.304942i
\(370\) −117215. 56447.7i −0.0445121 0.0214359i
\(371\) −297878. 2.74670e6i −0.112358 1.03604i
\(372\) 222170. 106991.i 0.0832391 0.0400859i
\(373\) 44537.5 + 77141.1i 0.0165750 + 0.0287087i 0.874194 0.485577i \(-0.161390\pi\)
−0.857619 + 0.514286i \(0.828057\pi\)
\(374\) 11940.7 20681.8i 0.00441417 0.00764557i
\(375\) −61106.6 + 815411.i −0.0224393 + 0.299432i
\(376\) 66194.3 168660.i 0.0241463 0.0615238i
\(377\) 75224.5 + 329580.i 0.0272588 + 0.119428i
\(378\) −195121. + 262083.i −0.0702383 + 0.0943431i
\(379\) −15192.1 + 66560.9i −0.00543275 + 0.0238024i −0.977572 0.210603i \(-0.932457\pi\)
0.972139 + 0.234406i \(0.0753144\pi\)
\(380\) −946031. 644993.i −0.336083 0.229137i
\(381\) −137298. 127394.i −0.0484565 0.0449611i
\(382\) −425270. + 64099.1i −0.149110 + 0.0224747i
\(383\) −2.55460e6 + 2.37033e6i −0.889870 + 0.825679i −0.985489 0.169739i \(-0.945708\pi\)
0.0956187 + 0.995418i \(0.469517\pi\)
\(384\) 397612. 498589.i 0.137604 0.172550i
\(385\) 158151. 29240.7i 0.0543775 0.0100539i
\(386\) 70911.1 + 88919.7i 0.0242240 + 0.0303759i
\(387\) 1.04487e6 + 157488.i 0.354636 + 0.0534528i
\(388\) −2.62699e6 + 1.79105e6i −0.885888 + 0.603988i
\(389\) 1.21056e6 + 3.08445e6i 0.405613 + 1.03348i 0.977082 + 0.212861i \(0.0682782\pi\)
−0.571470 + 0.820623i \(0.693627\pi\)
\(390\) 35467.1 10940.1i 0.0118077 0.00364218i
\(391\) −1.08070e6 −0.357489
\(392\) −1.22373e6 101982.i −0.402227 0.0335204i
\(393\) −6060.52 −0.00197938
\(394\) −48665.2 + 15011.2i −0.0157935 + 0.00487165i
\(395\) 851582. + 2.16979e6i 0.274621 + 0.699723i
\(396\) 198953. 135644.i 0.0637547 0.0434672i
\(397\) 81369.5 + 12264.5i 0.0259111 + 0.00390547i 0.161985 0.986793i \(-0.448210\pi\)
−0.136074 + 0.990699i \(0.543448\pi\)
\(398\) 261532. + 327951.i 0.0827595 + 0.103777i
\(399\) −255541. 592439.i −0.0803579 0.186299i
\(400\) −1.06284e6 + 1.33276e6i −0.332137 + 0.416487i
\(401\) 763868. 708766.i 0.237223 0.220111i −0.552598 0.833448i \(-0.686364\pi\)
0.789822 + 0.613337i \(0.210173\pi\)
\(402\) −338733. + 51055.8i −0.104542 + 0.0157572i
\(403\) 248127. + 230228.i 0.0761046 + 0.0706147i
\(404\) −5.03342e6 3.43173e6i −1.53430 1.04607i
\(405\) −340022. + 1.48974e6i −0.103008 + 0.451306i
\(406\) −66550.3 252580.i −0.0200371 0.0760473i
\(407\) 25220.3 + 110497.i 0.00754682 + 0.0330648i
\(408\) 71627.5 182504.i 0.0213024 0.0542777i
\(409\) −358903. + 4.78922e6i −0.106089 + 1.41565i 0.649378 + 0.760466i \(0.275029\pi\)
−0.755467 + 0.655187i \(0.772590\pi\)
\(410\) 73634.6 127539.i 0.0216333 0.0374699i
\(411\) 629334. + 1.09004e6i 0.183771 + 0.318301i
\(412\) 5.53511e6 2.66557e6i 1.60651 0.773654i
\(413\) −734238. + 2.07058e6i −0.211817 + 0.597333i
\(414\) 435935. + 209935.i 0.125003 + 0.0601983i
\(415\) −206652. 2.75758e6i −0.0589005 0.785972i
\(416\) 632528. + 195109.i 0.179203 + 0.0552769i
\(417\) 865635. + 267013.i 0.243778 + 0.0751956i
\(418\) −3309.95 44168.3i −0.000926577 0.0123643i
\(419\) 4.29603e6 + 2.06886e6i 1.19545 + 0.575699i 0.922376 0.386293i \(-0.126245\pi\)
0.273076 + 0.961992i \(0.411959\pi\)
\(420\) 610484. 210763.i 0.168869 0.0583002i
\(421\) −2.84086e6 + 1.36809e6i −0.781168 + 0.376191i −0.781577 0.623809i \(-0.785584\pi\)
0.000408369 1.00000i \(0.499870\pi\)
\(422\) 407346. + 705544.i 0.111348 + 0.192860i
\(423\) 274451. 475364.i 0.0745787 0.129174i
\(424\) 116359. 1.55270e6i 0.0314330 0.419444i
\(425\) −401155. + 1.02213e6i −0.107731 + 0.274494i
\(426\) −30311.0 132801.i −0.00809239 0.0354551i
\(427\) −2.24378e6 + 1.17392e6i −0.595541 + 0.311580i
\(428\) −822122. + 3.60195e6i −0.216934 + 0.950449i
\(429\) −26716.1 18214.7i −0.00700858 0.00477837i
\(430\) 142622. + 132334.i 0.0371976 + 0.0345143i
\(431\) 4.26827e6 643338.i 1.10677 0.166819i 0.429870 0.902891i \(-0.358559\pi\)
0.676904 + 0.736071i \(0.263321\pi\)
\(432\) 1.41802e6 1.31573e6i 0.365573 0.339202i
\(433\) −2.38423e6 + 2.98973e6i −0.611122 + 0.766323i −0.987065 0.160320i \(-0.948747\pi\)
0.375943 + 0.926643i \(0.377319\pi\)
\(434\) −197520. 171419.i −0.0503369 0.0436853i
\(435\) 175108. + 219579.i 0.0443694 + 0.0556375i
\(436\) −2.30122e6 346853.i −0.579752 0.0873835i
\(437\) −1.65607e6 + 1.12909e6i −0.414834 + 0.282829i
\(438\) 50849.9 + 129563.i 0.0126650 + 0.0322698i
\(439\) −4.59709e6 + 1.41801e6i −1.13847 + 0.351171i −0.805984 0.591937i \(-0.798363\pi\)
−0.332485 + 0.943108i \(0.607887\pi\)
\(440\) 90640.8 0.0223199
\(441\) −3.61986e6 858052.i −0.886330 0.210096i
\(442\) 131637. 0.0320496
\(443\) −3.25107e6 + 1.00282e6i −0.787076 + 0.242781i −0.662136 0.749384i \(-0.730350\pi\)
−0.124940 + 0.992164i \(0.539874\pi\)
\(444\) 166278. + 423669.i 0.0400292 + 0.101993i
\(445\) 3.18613e6 2.17227e6i 0.762718 0.520012i
\(446\) 190075. + 28649.2i 0.0452468 + 0.00681986i
\(447\) 938249. + 1.17653e6i 0.222100 + 0.278505i
\(448\) 3.08989e6 + 841767.i 0.727358 + 0.198151i
\(449\) −4.21392e6 + 5.28409e6i −0.986440 + 1.23696i −0.0149470 + 0.999888i \(0.504758\pi\)
−0.971493 + 0.237068i \(0.923813\pi\)
\(450\) 360376. 334380.i 0.0838928 0.0778411i
\(451\) −126865. + 19121.8i −0.0293697 + 0.00442676i
\(452\) −2.24993e6 2.08763e6i −0.517991 0.480626i
\(453\) 232453. + 158484.i 0.0532217 + 0.0362860i
\(454\) −324355. + 1.42109e6i −0.0738551 + 0.323580i
\(455\) 575459. + 674366.i 0.130312 + 0.152710i
\(456\) −80913.4 354505.i −0.0182225 0.0798380i
\(457\) 2.42667e6 6.18305e6i 0.543526 1.38488i −0.350373 0.936610i \(-0.613945\pi\)
0.893898 0.448270i \(-0.147960\pi\)
\(458\) −91045.4 + 1.21492e6i −0.0202812 + 0.270634i
\(459\) 623008. 1.07908e6i 0.138026 0.239069i
\(460\) −1.00317e6 1.73754e6i −0.221044 0.382860i
\(461\) 5.06055e6 2.43703e6i 1.10904 0.534084i 0.212547 0.977151i \(-0.431824\pi\)
0.896488 + 0.443067i \(0.146110\pi\)
\(462\) 21098.5 + 13380.2i 0.00459881 + 0.00291646i
\(463\) 4.51445e6 + 2.17404e6i 0.978706 + 0.471320i 0.853660 0.520831i \(-0.174378\pi\)
0.125046 + 0.992151i \(0.460092\pi\)
\(464\) 115562. + 1.54206e6i 0.0249183 + 0.332512i
\(465\) 268714. + 82887.4i 0.0576313 + 0.0177769i
\(466\) 39453.1 + 12169.7i 0.00841621 + 0.00259606i
\(467\) 71734.5 + 957230.i 0.0152207 + 0.203107i 0.999630 + 0.0272117i \(0.00866283\pi\)
−0.984409 + 0.175895i \(0.943718\pi\)
\(468\) 1.19584e6 + 575888.i 0.252383 + 0.121541i
\(469\) −4.32419e6 6.94607e6i −0.907763 1.45817i
\(470\) 91057.9 43851.2i 0.0190140 0.00915665i
\(471\) −269967. 467596.i −0.0560735 0.0971222i
\(472\) −619064. + 1.07225e6i −0.127903 + 0.221534i
\(473\) 12666.4 169021.i 0.00260315 0.0347367i
\(474\) −132285. + 337056.i −0.0270435 + 0.0689058i
\(475\) 453162. + 1.98543e6i 0.0921551 + 0.403758i
\(476\) 2.28930e6 76095.6i 0.463112 0.0153937i
\(477\) 1.04966e6 4.59886e6i 0.211229 0.925453i
\(478\) 1.47116e6 + 1.00302e6i 0.294504 + 0.200789i
\(479\) −4.73417e6 4.39267e6i −0.942768 0.874761i 0.0495125 0.998774i \(-0.484233\pi\)
−0.992281 + 0.124013i \(0.960424\pi\)
\(480\) 543784. 81962.2i 0.107727 0.0162372i
\(481\) −457967. + 424931.i −0.0902550 + 0.0837444i
\(482\) −562783. + 705707.i −0.110338 + 0.138359i
\(483\) 46987.2 1.12960e6i 0.00916456 0.220321i
\(484\) 3.05254e6 + 3.82777e6i 0.592309 + 0.742732i
\(485\) −3.58531e6 540399.i −0.692106 0.104318i
\(486\) −702145. + 478714.i −0.134845 + 0.0919360i
\(487\) −1.54202e6 3.92901e6i −0.294624 0.750689i −0.999158 0.0410197i \(-0.986939\pi\)
0.704534 0.709670i \(-0.251156\pi\)
\(488\) −1.36376e6 + 420663.i −0.259231 + 0.0799623i
\(489\) −2.38506e6 −0.451053
\(490\) −461695. 505993.i −0.0868690 0.0952038i
\(491\) 7.64672e6 1.43143 0.715717 0.698390i \(-0.246100\pi\)
0.715717 + 0.698390i \(0.246100\pi\)
\(492\) −492310. + 151857.i −0.0916908 + 0.0282829i
\(493\) 363909. + 927224.i 0.0674334 + 0.171818i
\(494\) 201721. 137531.i 0.0371907 0.0253562i
\(495\) 271531. + 40926.7i 0.0498088 + 0.00750747i
\(496\) 965378. + 1.21055e6i 0.176195 + 0.220941i
\(497\) 2.62584e6 1.92109e6i 0.476846 0.348864i
\(498\) 267828. 335846.i 0.0483930 0.0606829i
\(499\) 4.77520e6 4.43074e6i 0.858499 0.796571i −0.122116 0.992516i \(-0.538968\pi\)
0.980615 + 0.195945i \(0.0627774\pi\)
\(500\) −5.32391e6 + 802450.i −0.952370 + 0.143547i
\(501\) −1.73352e6 1.60848e6i −0.308557 0.286299i
\(502\) 1.44927e6 + 988099.i 0.256680 + 0.175001i
\(503\) 1.06547e6 4.66814e6i 0.187768 0.822667i −0.790021 0.613079i \(-0.789931\pi\)
0.977790 0.209588i \(-0.0672123\pi\)
\(504\) −1.91815e6 846426.i −0.336362 0.148427i
\(505\) −1.54590e6 6.77302e6i −0.269744 1.18183i
\(506\) 28354.9 72247.2i 0.00492325 0.0125442i
\(507\) −115796. + 1.54519e6i −0.0200066 + 0.266970i
\(508\) 616617. 1.06801e6i 0.106012 0.183619i
\(509\) 44953.9 + 77862.4i 0.00769082 + 0.0133209i 0.869845 0.493325i \(-0.164219\pi\)
−0.862154 + 0.506646i \(0.830885\pi\)
\(510\) 98531.8 47450.4i 0.0167746 0.00807820i
\(511\) −2.36053e6 + 2.34091e6i −0.399905 + 0.396582i
\(512\) 4.61388e6 + 2.22193e6i 0.777843 + 0.374589i
\(513\) −172698. 2.30450e6i −0.0289731 0.386619i
\(514\) −1.03528e6 319342.i −0.172843 0.0533149i
\(515\) 6.69472e6 + 2.06505e6i 1.11228 + 0.343093i
\(516\) −50863.8 678730.i −0.00840978 0.112221i
\(517\) −79327.5 38202.1i −0.0130526 0.00628581i
\(518\) 342747. 339899.i 0.0561241 0.0556577i
\(519\) −2.93085e6 + 1.41142e6i −0.477612 + 0.230006i
\(520\) 249812. + 432688.i 0.0405140 + 0.0701724i
\(521\) 5.71879e6 9.90523e6i 0.923017 1.59871i 0.128296 0.991736i \(-0.459049\pi\)
0.794720 0.606976i \(-0.207618\pi\)
\(522\) 33327.0 444718.i 0.00535328 0.0714346i
\(523\) −1.59366e6 + 4.06058e6i −0.254766 + 0.649133i −0.999841 0.0178480i \(-0.994318\pi\)
0.745075 + 0.666981i \(0.232414\pi\)
\(524\) −8879.67 38904.4i −0.00141276 0.00618971i
\(525\) −1.05093e6 463747.i −0.166409 0.0734316i
\(526\) 284134. 1.24487e6i 0.0447773 0.196182i
\(527\) 824042. + 561823.i 0.129248 + 0.0881196i
\(528\) −108426. 100604.i −0.0169257 0.0157048i
\(529\) 2.89150e6 435824.i 0.449246 0.0677130i
\(530\) 636685. 590758.i 0.0984544 0.0913524i
\(531\) −2.33866e6 + 2.93259e6i −0.359941 + 0.451352i
\(532\) 3.42864e6 2.50842e6i 0.525222 0.384256i
\(533\) −440928. 552906.i −0.0672279 0.0843011i
\(534\) 592330. + 89279.3i 0.0898898 + 0.0135487i
\(535\) −3.48116e6 + 2.37341e6i −0.525822 + 0.358499i
\(536\) −1.68468e6 4.29249e6i −0.253282 0.645352i
\(537\) −1.46943e6 + 453261.i −0.219895 + 0.0678285i
\(538\) −1.90592e6 −0.283889
\(539\) −93859.6 + 589307.i −0.0139158 + 0.0873714i
\(540\) 2.31325e6 0.341380
\(541\) 1.09845e6 338826.i 0.161356 0.0497718i −0.213025 0.977047i \(-0.568331\pi\)
0.374381 + 0.927275i \(0.377855\pi\)
\(542\) 9645.57 + 24576.5i 0.00141036 + 0.00359354i
\(543\) −1.71803e6 + 1.17133e6i −0.250053 + 0.170483i
\(544\) 1.92860e6 + 290690.i 0.279412 + 0.0421147i
\(545\) −1.65469e6 2.07492e6i −0.238631 0.299234i
\(546\) −5723.38 + 137593.i −0.000821620 + 0.0197522i
\(547\) −4.71503e6 + 5.91247e6i −0.673778 + 0.844890i −0.994765 0.102193i \(-0.967414\pi\)
0.320987 + 0.947084i \(0.395985\pi\)
\(548\) −6.07522e6 + 5.63698e6i −0.864192 + 0.801853i
\(549\) −4.27532e6 + 644401.i −0.605393 + 0.0912484i
\(550\) −57806.2 53636.3i −0.00814831 0.00756053i
\(551\) 1.52640e6 + 1.04068e6i 0.214185 + 0.146029i
\(552\) 141783. 621192.i 0.0198051 0.0867717i
\(553\) −8.64370e6 + 287313.i −1.20195 + 0.0399524i
\(554\) −94913.1 415842.i −0.0131387 0.0575643i
\(555\) −189621. + 483146.i −0.0261309 + 0.0665804i
\(556\) −445741. + 5.94799e6i −0.0611498 + 0.815988i
\(557\) −3.40684e6 + 5.90082e6i −0.465280 + 0.805888i −0.999214 0.0396378i \(-0.987380\pi\)
0.533934 + 0.845526i \(0.320713\pi\)
\(558\) −223265. 386707.i −0.0303554 0.0525770i
\(559\) 841757. 405369.i 0.113935 0.0548682i
\(560\) 2.14319e6 + 3.44266e6i 0.288795 + 0.463900i
\(561\) −85838.6 41337.7i −0.0115153 0.00554548i
\(562\) 98390.8 + 1.31293e6i 0.0131406 + 0.175349i
\(563\) 1.08876e7 + 3.35838e6i 1.44764 + 0.446538i 0.916256 0.400593i \(-0.131196\pi\)
0.531384 + 0.847131i \(0.321672\pi\)
\(564\) −337858. 104215.i −0.0447236 0.0137954i
\(565\) −261566. 3.49036e6i −0.0344715 0.459991i
\(566\) 979256. + 471585.i 0.128486 + 0.0618755i
\(567\) −4.78791e6 3.03638e6i −0.625444 0.396642i
\(568\) 1.65205e6 795584.i 0.214858 0.103470i
\(569\) −340819. 590315.i −0.0441309 0.0764369i 0.843116 0.537731i \(-0.180719\pi\)
−0.887247 + 0.461294i \(0.847385\pi\)
\(570\) 101416. 175657.i 0.0130743 0.0226453i
\(571\) −311482. + 4.15644e6i −0.0399800 + 0.533496i 0.940875 + 0.338755i \(0.110006\pi\)
−0.980855 + 0.194741i \(0.937613\pi\)
\(572\) 77782.5 198187.i 0.00994012 0.0253270i
\(573\) 381793. + 1.67274e6i 0.0485782 + 0.212835i
\(574\) 354689. + 415651.i 0.0449333 + 0.0526562i
\(575\) −794067. + 3.47903e6i −0.100158 + 0.438823i
\(576\) 4.51774e6 + 3.08015e6i 0.567369 + 0.386826i
\(577\) −3.36624e6 3.12342e6i −0.420926 0.390562i 0.441074 0.897471i \(-0.354598\pi\)
−0.862000 + 0.506908i \(0.830788\pi\)
\(578\) −1.25410e6 + 189025.i −0.156140 + 0.0235343i
\(579\) 332609. 308616.i 0.0412323 0.0382580i
\(580\) −1.15298e6 + 1.44579e6i −0.142316 + 0.178458i
\(581\) 9.89941e6 + 2.69686e6i 1.21666 + 0.331450i
\(582\) −351170. 440353.i −0.0429744 0.0538882i
\(583\) −748201. 112773.i −0.0911690 0.0137415i
\(584\) −1.54803e6 + 1.05543e6i −0.187822 + 0.128055i
\(585\) 552988. + 1.40899e6i 0.0668076 + 0.170223i
\(586\) 2.49517e6 769657.i 0.300162 0.0925877i
\(587\) −3.85749e6 −0.462072 −0.231036 0.972945i \(-0.574212\pi\)
−0.231036 + 0.972945i \(0.574212\pi\)
\(588\) −19996.7 + 2.39620e6i −0.00238515 + 0.285811i
\(589\) 1.84975e6 0.219697
\(590\) −659956. + 203569.i −0.0780521 + 0.0240759i
\(591\) 74228.1 + 189130.i 0.00874177 + 0.0222737i
\(592\) −2.36121e6 + 1.60984e6i −0.276905 + 0.188790i
\(593\) 4.90762e6 + 739704.i 0.573105 + 0.0863816i 0.429199 0.903210i \(-0.358796\pi\)
0.143905 + 0.989591i \(0.454034\pi\)
\(594\) 55792.9 + 69962.1i 0.00648803 + 0.00813573i
\(595\) 1.97280e6 + 1.71211e6i 0.228449 + 0.198262i
\(596\) −6.17780e6 + 7.74672e6i −0.712391 + 0.893310i
\(597\) 1.22672e6 1.13823e6i 0.140867 0.130706i
\(598\) 423031. 63761.7i 0.0483748 0.00729133i
\(599\) 7.61626e6 + 7.06686e6i 0.867311 + 0.804747i 0.982044 0.188649i \(-0.0604110\pi\)
−0.114734 + 0.993396i \(0.536601\pi\)
\(600\) −534895. 364685.i −0.0606583 0.0413561i
\(601\) 1.61626e6 7.08130e6i 0.182526 0.799700i −0.797896 0.602795i \(-0.794054\pi\)
0.980423 0.196905i \(-0.0630891\pi\)
\(602\) −639623. + 334644.i −0.0719338 + 0.0376350i
\(603\) −3.10858e6 1.36196e7i −0.348152 1.52535i
\(604\) −676773. + 1.72439e6i −0.0754833 + 0.192328i
\(605\) −417234. + 5.56760e6i −0.0463438 + 0.618415i
\(606\) 539589. 934595.i 0.0596872 0.103381i
\(607\) 71766.1 + 124303.i 0.00790584 + 0.0136933i 0.869951 0.493138i \(-0.164150\pi\)
−0.862045 + 0.506831i \(0.830817\pi\)
\(608\) 3.25911e6 1.56951e6i 0.357553 0.172188i
\(609\) −985001. + 340060.i −0.107620 + 0.0371546i
\(610\) −717247. 345408.i −0.0780448 0.0375844i
\(611\) −36268.5 483969.i −0.00393031 0.0524463i
\(612\) 3.73709e6 + 1.15274e6i 0.403325 + 0.124409i
\(613\) −9.39443e6 2.89780e6i −1.00976 0.311471i −0.254627 0.967039i \(-0.581953\pi\)
−0.755136 + 0.655569i \(0.772429\pi\)
\(614\) −26273.8 350600.i −0.00281256 0.0375310i
\(615\) −529342. 254918.i −0.0564350 0.0271777i
\(616\) −112399. + 316968.i −0.0119346 + 0.0336561i
\(617\) −1.08519e7 + 5.22600e6i −1.14761 + 0.552658i −0.908314 0.418289i \(-0.862630\pi\)
−0.239293 + 0.970947i \(0.576916\pi\)
\(618\) 544154. + 942502.i 0.0573127 + 0.0992685i
\(619\) 8.53910e6 1.47902e7i 0.895748 1.55148i 0.0628710 0.998022i \(-0.479974\pi\)
0.832877 0.553459i \(-0.186692\pi\)
\(620\) −138369. + 1.84641e6i −0.0144564 + 0.192907i
\(621\) 1.47943e6 3.76953e6i 0.153945 0.392245i
\(622\) 444080. + 1.94564e6i 0.0460241 + 0.201645i
\(623\) 3.64541e6 + 1.38355e7i 0.376293 + 1.42815i
\(624\) 181421. 794858.i 0.0186520 0.0817200i
\(625\) −156547. 106732.i −0.0160304 0.0109293i
\(626\) −2.39553e6 2.22273e6i −0.244324 0.226699i
\(627\) −174728. + 26336.1i −0.0177498 + 0.00267536i
\(628\) 2.60610e6 2.41810e6i 0.263689 0.244667i
\(629\) −1.14771e6 + 1.43919e6i −0.115666 + 0.145041i
\(630\) −463199. 1.07387e6i −0.0464961 0.107795i
\(631\) −7.55599e6 9.47491e6i −0.755471 0.947331i 0.244278 0.969705i \(-0.421449\pi\)
−0.999750 + 0.0223740i \(0.992878\pi\)
\(632\) −4.81965e6 726445.i −0.479979 0.0723453i
\(633\) 2.68543e6 1.83089e6i 0.266382 0.181616i
\(634\) 510677. + 1.30118e6i 0.0504572 + 0.128563i
\(635\) 1.34388e6 414533.i 0.132260 0.0407967i
\(636\) −3.03846e6 −0.297859
\(637\) −3.07183e6 + 1.17612e6i −0.299950 + 0.114842i
\(638\) −71535.2 −0.00695774
\(639\) 5.30823e6 1.63737e6i 0.514277 0.158633i
\(640\) 1.74943e6 + 4.45747e6i 0.168829 + 0.430168i
\(641\) −9.20767e6 + 6.27768e6i −0.885125 + 0.603468i −0.918258 0.395983i \(-0.870404\pi\)
0.0331331 + 0.999451i \(0.489451\pi\)
\(642\) −647177. 97546.2i −0.0619705 0.00934055i
\(643\) −6.56502e6 8.23228e6i −0.626194 0.785222i 0.363007 0.931786i \(-0.381750\pi\)
−0.989201 + 0.146564i \(0.953179\pi\)
\(644\) 7.32008e6 1.35342e6i 0.695506 0.128593i
\(645\) 483944. 606846.i 0.0458032 0.0574354i
\(646\) 527335. 489295.i 0.0497170 0.0461307i
\(647\) 2.19495e6 330836.i 0.206141 0.0310708i −0.0451598 0.998980i \(-0.514380\pi\)
0.251301 + 0.967909i \(0.419142\pi\)
\(648\) −2.34227e6 2.17331e6i −0.219129 0.203322i
\(649\) 497122. + 338932.i 0.0463288 + 0.0315864i
\(650\) 96723.2 423772.i 0.00897940 0.0393413i
\(651\) −623072. + 836901.i −0.0576217 + 0.0773966i
\(652\) −3.49451e6 1.53105e7i −0.321935 1.41049i
\(653\) −4.27985e6 + 1.09049e7i −0.392776 + 1.00078i 0.588556 + 0.808457i \(0.299697\pi\)
−0.981332 + 0.192321i \(0.938398\pi\)
\(654\) 30808.2 411107.i 0.00281658 0.0375847i
\(655\) 22753.5 39410.2i 0.00207226 0.00358926i
\(656\) −1.61748e6 2.80155e6i −0.146750 0.254179i
\(657\) −5.11395e6 + 2.46275e6i −0.462214 + 0.222591i
\(658\) 40430.3 + 372804.i 0.00364035 + 0.0335672i
\(659\) 1.22273e7 + 5.88835e6i 1.09677 + 0.528178i 0.892642 0.450766i \(-0.148849\pi\)
0.204130 + 0.978944i \(0.434564\pi\)
\(660\) −13218.1 176383.i −0.00118116 0.0157614i
\(661\) 9.62159e6 + 2.96787e6i 0.856531 + 0.264205i 0.691760 0.722127i \(-0.256835\pi\)
0.164771 + 0.986332i \(0.447312\pi\)
\(662\) 73944.2 + 22808.8i 0.00655781 + 0.00202282i
\(663\) −39245.4 523693.i −0.00346740 0.0462693i
\(664\) 5.20977e6 + 2.50889e6i 0.458563 + 0.220832i
\(665\) 4.81189e6 + 562512.i 0.421951 + 0.0493262i
\(666\) 742542. 357590.i 0.0648688 0.0312392i
\(667\) 1.61859e6 + 2.80348e6i 0.140871 + 0.243996i
\(668\) 7.78540e6 1.34847e7i 0.675056 1.16923i
\(669\) 57307.8 764719.i 0.00495049 0.0660597i
\(670\) 939728. 2.39439e6i 0.0808752 0.206067i
\(671\) 154325. + 676142.i 0.0132321 + 0.0579738i
\(672\) −387696. + 2.00323e6i −0.0331183 + 0.171123i
\(673\) 4.87324e6 2.13511e7i 0.414744 1.81711i −0.146197 0.989256i \(-0.546703\pi\)
0.560941 0.827856i \(-0.310440\pi\)
\(674\) 837002. + 570659.i 0.0709704 + 0.0483868i
\(675\) −3.01606e6 2.79850e6i −0.254789 0.236410i
\(676\) −1.00887e7 + 1.52063e6i −0.849120 + 0.127984i
\(677\) −6.22611e6 + 5.77698e6i −0.522089 + 0.484428i −0.896629 0.442783i \(-0.853991\pi\)
0.374539 + 0.927211i \(0.377801\pi\)
\(678\) 338999. 425091.i 0.0283220 0.0355147i
\(679\) 6.33569e6 1.18676e7i 0.527375 0.987843i
\(680\) 917864. + 1.15097e6i 0.0761213 + 0.0954531i
\(681\) 5.75024e6 + 866709.i 0.475136 + 0.0716153i
\(682\) −59180.0 + 40348.3i −0.00487208 + 0.00332173i
\(683\) 1.93351e6 + 4.92649e6i 0.158597 + 0.404098i 0.987980 0.154582i \(-0.0494032\pi\)
−0.829383 + 0.558680i \(0.811308\pi\)
\(684\) 6.93110e6 2.13796e6i 0.566451 0.174727i
\(685\) −9.45103e6 −0.769578
\(686\) 2.34196e6 987079.i 0.190007 0.0800832i
\(687\) 4.86046e6 0.392903
\(688\) 4.08386e6 1.25970e6i 0.328927 0.101460i
\(689\) −1.52375e6 3.88246e6i −0.122283 0.311573i
\(690\) 293660. 200214.i 0.0234813 0.0160093i
\(691\) 6.42924e6 + 969053.i 0.512230 + 0.0772062i 0.400071 0.916484i \(-0.368985\pi\)
0.112159 + 0.993690i \(0.464224\pi\)
\(692\) −1.33545e7 1.67461e7i −1.06014 1.32938i
\(693\) −479829. + 898783.i −0.0379536 + 0.0710922i
\(694\) −1.58007e6 + 1.98134e6i −0.124531 + 0.156157i
\(695\) −4.98624e6 + 4.62656e6i −0.391572 + 0.363326i
\(696\) −580717. + 87529.0i −0.0454403 + 0.00684903i
\(697\) −1.52749e6 1.41730e6i −0.119096 0.110505i
\(698\) −607871. 414439.i −0.0472251 0.0321975i
\(699\) 36652.5 160585.i 0.00283733 0.0124312i
\(700\) 1.43714e6 7.42574e6i 0.110855 0.572789i
\(701\) −2.89308e6 1.26754e7i −0.222364 0.974242i −0.955693 0.294367i \(-0.904891\pi\)
0.733328 0.679875i \(-0.237966\pi\)
\(702\) −180206. + 459156.i −0.0138015 + 0.0351656i
\(703\) −255134. + 3.40453e6i −0.0194706 + 0.259818i
\(704\) 438535. 759566.i 0.0333483 0.0577609i
\(705\) −201601. 349183.i −0.0152764 0.0264594i
\(706\) −1.16067e6 + 558948.i −0.0876388 + 0.0422046i
\(707\) 2.56020e7 + 2.99288e6i 1.92631 + 0.225186i
\(708\) 2.17682e6 + 1.04830e6i 0.163208 + 0.0785966i
\(709\) 833424. + 1.11213e7i 0.0622659 + 0.830881i 0.937678 + 0.347504i \(0.112971\pi\)
−0.875412 + 0.483377i \(0.839410\pi\)
\(710\) 977376. + 301481.i 0.0727639 + 0.0224447i
\(711\) −1.41101e7 4.35239e6i −1.04678 0.322889i
\(712\) 602587. + 8.04096e6i 0.0445471 + 0.594440i
\(713\) 2.92029e6 + 1.40634e6i 0.215131 + 0.103601i
\(714\) 43748.8 + 403403.i 0.00321159 + 0.0296138i
\(715\) 218749. 105344.i 0.0160022 0.00770626i
\(716\) −5.06258e6 8.76865e6i −0.369054 0.639220i
\(717\) 3.55173e6 6.15177e6i 0.258013 0.446892i
\(718\) −278629. + 3.71804e6i −0.0201704 + 0.269155i
\(719\) −478844. + 1.22008e6i −0.0345440 + 0.0880166i −0.947105 0.320924i \(-0.896007\pi\)
0.912561 + 0.408941i \(0.134102\pi\)
\(720\) 1.54070e6 + 6.75024e6i 0.110761 + 0.485275i
\(721\) −1.55231e7 + 2.08505e7i −1.11209 + 1.49375i
\(722\) −345786. + 1.51499e6i −0.0246868 + 0.108160i
\(723\) 2.97531e6 + 2.02853e6i 0.211683 + 0.144323i
\(724\) −1.00364e7 9.31237e6i −0.711589 0.660258i
\(725\) 3.25235e6 490213.i 0.229801 0.0346370i
\(726\) −635773. + 589911.i −0.0447673 + 0.0415379i
\(727\) −1.02012e7 + 1.27919e7i −0.715837 + 0.897631i −0.998094 0.0617079i \(-0.980345\pi\)
0.282258 + 0.959339i \(0.408917\pi\)
\(728\) −1.82287e6 + 337034.i −0.127476 + 0.0235692i
\(729\) −4.51200e6 5.65786e6i −0.314449 0.394306i
\(730\) −1.03343e6 155765.i −0.0717752 0.0108184i
\(731\) 2.27451e6 1.55073e6i 0.157433 0.107336i
\(732\) 1.01747e6 + 2.59246e6i 0.0701847 + 0.178828i
\(733\) 1.41893e7 4.37682e6i 0.975441 0.300884i 0.234249 0.972177i \(-0.424737\pi\)
0.741192 + 0.671293i \(0.234261\pi\)
\(734\) −5.04744e6 −0.345805
\(735\) −1.87535e6 + 1.98762e6i −0.128045 + 0.135711i
\(736\) 6.33860e6 0.431319
\(737\) −2.14128e6 + 660498.i −0.145213 + 0.0447922i
\(738\) 340839. + 868443.i 0.0230361 + 0.0586949i
\(739\) 5.81786e6 3.96655e6i 0.391879 0.267179i −0.351311 0.936259i \(-0.614264\pi\)
0.743190 + 0.669080i \(0.233312\pi\)
\(740\) −3.37929e6 509346.i −0.226854 0.0341927i
\(741\) −607282. 761508.i −0.0406298 0.0509482i
\(742\) 1.27634e6 + 2.95903e6i 0.0851055 + 0.197306i
\(743\) −1.15992e7 + 1.45450e7i −0.770828 + 0.966588i −0.999977 0.00680332i \(-0.997834\pi\)
0.229149 + 0.973391i \(0.426406\pi\)
\(744\) −431050. + 399956.i −0.0285493 + 0.0264899i
\(745\) −1.11732e7 + 1.68409e6i −0.737544 + 0.111167i
\(746\) −76162.5 70668.5i −0.00501065 0.00464920i
\(747\) 1.44740e7 + 9.86819e6i 0.949044 + 0.647047i
\(748\) 139592. 611591.i 0.00912232 0.0399675i
\(749\) −3.98296e6 1.51166e7i −0.259419 0.984577i
\(750\) −212234. 929857.i −0.0137772 0.0603619i
\(751\) −9.52439e6 + 2.42677e7i −0.616222 + 1.57011i 0.192105 + 0.981374i \(0.438468\pi\)
−0.808327 + 0.588733i \(0.799627\pi\)
\(752\) 165905. 2.21385e6i 0.0106983 0.142759i
\(753\) 3.49889e6 6.06025e6i 0.224876 0.389496i
\(754\) −197156. 341484.i −0.0126294 0.0218747i
\(755\) −1.90330e6 + 916580.i −0.121518 + 0.0585198i
\(756\) −2.86853e6 + 8.08936e6i −0.182539 + 0.514766i
\(757\) 1.26414e7 + 6.08780e6i 0.801784 + 0.386119i 0.789457 0.613805i \(-0.210362\pi\)
0.0123262 + 0.999924i \(0.496076\pi\)
\(758\) −5951.05 79411.2i −0.000376201 0.00502006i
\(759\) −295875. 91265.5i −0.0186425 0.00575045i
\(760\) 2.60904e6 + 804783.i 0.163850 + 0.0505411i
\