Properties

Label 43.6.e.a.11.15
Level $43$
Weight $6$
Character 43.11
Analytic conductor $6.897$
Analytic rank $0$
Dimension $108$
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] = [43,6,Mod(4,43)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(43, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([4]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("43.4");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), 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: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(4.37339 + 5.48406i) q^{2} +(-9.64274 + 12.0916i) q^{3} +(-3.82767 + 16.7701i) q^{4} +(-28.9111 + 13.9228i) q^{5} -108.483 q^{6} -153.633 q^{7} +(93.5232 - 45.0384i) q^{8} +(0.847858 + 3.71471i) q^{9} +O(q^{10})\) \(q+(4.37339 + 5.48406i) q^{2} +(-9.64274 + 12.0916i) q^{3} +(-3.82767 + 16.7701i) q^{4} +(-28.9111 + 13.9228i) q^{5} -108.483 q^{6} -153.633 q^{7} +(93.5232 - 45.0384i) q^{8} +(0.847858 + 3.71471i) q^{9} +(-202.793 - 97.6600i) q^{10} +(-14.7691 - 64.7078i) q^{11} +(-165.869 - 207.993i) q^{12} +(-483.288 + 232.739i) q^{13} +(-671.899 - 842.534i) q^{14} +(110.432 - 483.836i) q^{15} +(1151.94 + 554.745i) q^{16} +(65.9100 + 31.7406i) q^{17} +(-16.6636 + 20.8956i) q^{18} +(-275.937 + 1208.96i) q^{19} +(-122.826 - 538.134i) q^{20} +(1481.45 - 1857.68i) q^{21} +(290.270 - 363.987i) q^{22} +(392.573 + 1719.97i) q^{23} +(-357.233 + 1565.14i) q^{24} +(-1306.40 + 1638.17i) q^{25} +(-3389.96 - 1632.52i) q^{26} +(-3439.10 - 1656.18i) q^{27} +(588.058 - 2576.45i) q^{28} +(3841.84 + 4817.52i) q^{29} +(3136.35 - 1510.39i) q^{30} +(1028.61 + 1289.84i) q^{31} +(1256.48 + 5505.00i) q^{32} +(924.837 + 445.378i) q^{33} +(114.183 + 500.268i) q^{34} +(4441.71 - 2139.01i) q^{35} -65.5414 q^{36} +6031.76 q^{37} +(-7836.78 + 3773.99i) q^{38} +(1846.03 - 8087.98i) q^{39} +(-2076.80 + 2604.22i) q^{40} +(2240.03 + 2808.91i) q^{41} +16666.6 q^{42} +(10598.2 - 5889.50i) q^{43} +1141.69 q^{44} +(-76.2318 - 95.5916i) q^{45} +(-7715.56 + 9675.01i) q^{46} +(3932.25 - 17228.3i) q^{47} +(-17815.6 + 8579.55i) q^{48} +6796.24 q^{49} -14697.2 q^{50} +(-1019.35 + 490.892i) q^{51} +(-2053.20 - 8995.65i) q^{52} +(-14632.4 - 7046.61i) q^{53} +(-5957.91 - 26103.3i) q^{54} +(1327.91 + 1665.14i) q^{55} +(-14368.3 + 6919.41i) q^{56} +(-11957.5 - 14994.2i) q^{57} +(-9617.67 + 42137.8i) q^{58} +(-28738.1 - 13839.6i) q^{59} +(7691.29 + 3703.93i) q^{60} +(-9242.87 + 11590.2i) q^{61} +(-2575.02 + 11281.9i) q^{62} +(-130.259 - 570.703i) q^{63} +(814.683 - 1021.58i) q^{64} +(10732.0 - 13457.5i) q^{65} +(1602.19 + 7019.67i) q^{66} +(1727.69 - 7569.49i) q^{67} +(-784.574 + 983.825i) q^{68} +(-24582.8 - 11838.4i) q^{69} +(31155.8 + 15003.8i) q^{70} +(-9581.84 + 41980.8i) q^{71} +(246.599 + 309.225i) q^{72} +(32380.0 - 15593.4i) q^{73} +(26379.2 + 33078.5i) q^{74} +(-7210.89 - 31593.0i) q^{75} +(-19218.2 - 9254.99i) q^{76} +(2269.03 + 9941.28i) q^{77} +(52428.4 - 25248.2i) q^{78} +55794.9 q^{79} -41027.5 q^{80} +(52354.0 - 25212.4i) q^{81} +(-5607.70 + 24568.9i) q^{82} +(72714.9 - 91181.6i) q^{83} +(25483.0 + 31954.6i) q^{84} -2347.45 q^{85} +(78648.5 + 32364.1i) q^{86} -95297.5 q^{87} +(-4295.59 - 5386.50i) q^{88} +(-54288.9 + 68076.1i) q^{89} +(190.839 - 836.119i) q^{90} +(74249.3 - 35756.6i) q^{91} -30346.8 q^{92} -25514.8 q^{93} +(111678. - 53781.5i) q^{94} +(-8854.51 - 38794.1i) q^{95} +(-78680.3 - 37890.4i) q^{96} +(19781.1 + 86666.7i) q^{97} +(29722.6 + 37270.9i) q^{98} +(227.848 - 109.726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 3 q^{2} - 9 q^{3} - 331 q^{4} + 67 q^{5} - 20 q^{6} - 624 q^{7} + 589 q^{8} - 579 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 3 q^{2} - 9 q^{3} - 331 q^{4} + 67 q^{5} - 20 q^{6} - 624 q^{7} + 589 q^{8} - 579 q^{9} + 627 q^{10} - 220 q^{11} - 663 q^{12} - 1266 q^{13} + 2353 q^{14} + 1471 q^{15} - 4583 q^{16} - 1490 q^{17} + 4728 q^{18} + 946 q^{19} + 14589 q^{20} + 776 q^{21} + 963 q^{22} - 3018 q^{23} - 17761 q^{24} - 11939 q^{25} + 1315 q^{26} + 11277 q^{27} - 10787 q^{28} + 7283 q^{29} - 55324 q^{30} + 18676 q^{31} - 10965 q^{32} + 8776 q^{33} + 23815 q^{34} - 13340 q^{35} + 136240 q^{36} + 4994 q^{37} + 39351 q^{38} - 21251 q^{39} + 14719 q^{40} - 10519 q^{41} - 199326 q^{42} + 7026 q^{43} - 180280 q^{44} + 65996 q^{45} - 5266 q^{46} + 34102 q^{47} + 69385 q^{48} + 232252 q^{49} + 17850 q^{50} + 4116 q^{51} + 32385 q^{52} + 46774 q^{53} - 30267 q^{54} + 83643 q^{55} - 231565 q^{56} + 79511 q^{57} - 222889 q^{58} - 142070 q^{59} + 42019 q^{60} + 4715 q^{61} - 150121 q^{62} - 53547 q^{63} + 163605 q^{64} - 106653 q^{65} - 56111 q^{66} + 370962 q^{67} - 579312 q^{68} - 245635 q^{69} - 91242 q^{70} + 16922 q^{71} + 586300 q^{72} + 97842 q^{73} + 535946 q^{74} + 245407 q^{75} + 942280 q^{76} + 43381 q^{77} + 173684 q^{78} + 187210 q^{79} - 752974 q^{80} - 791814 q^{81} + 387227 q^{82} - 444471 q^{83} - 688442 q^{84} + 255432 q^{85} - 244075 q^{86} - 1418850 q^{87} + 196837 q^{88} + 408972 q^{89} - 495568 q^{90} - 25764 q^{91} + 200120 q^{92} + 692536 q^{93} + 161449 q^{94} + 406105 q^{95} + 1096556 q^{96} + 266261 q^{97} + 527485 q^{98} + 212416 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.37339 + 5.48406i 0.773113 + 0.969453i 0.999990 0.00447028i \(-0.00142294\pi\)
−0.226877 + 0.973923i \(0.572852\pi\)
\(3\) −9.64274 + 12.0916i −0.618582 + 0.775678i −0.988144 0.153528i \(-0.950936\pi\)
0.369562 + 0.929206i \(0.379508\pi\)
\(4\) −3.82767 + 16.7701i −0.119615 + 0.524066i
\(5\) −28.9111 + 13.9228i −0.517177 + 0.249059i −0.674218 0.738533i \(-0.735519\pi\)
0.157040 + 0.987592i \(0.449805\pi\)
\(6\) −108.483 −1.23022
\(7\) −153.633 −1.18506 −0.592530 0.805548i \(-0.701871\pi\)
−0.592530 + 0.805548i \(0.701871\pi\)
\(8\) 93.5232 45.0384i 0.516648 0.248804i
\(9\) 0.847858 + 3.71471i 0.00348913 + 0.0152869i
\(10\) −202.793 97.6600i −0.641288 0.308828i
\(11\) −14.7691 64.7078i −0.0368022 0.161241i 0.953188 0.302379i \(-0.0977809\pi\)
−0.989990 + 0.141138i \(0.954924\pi\)
\(12\) −165.869 207.993i −0.332515 0.416960i
\(13\) −483.288 + 232.739i −0.793136 + 0.381954i −0.786161 0.618021i \(-0.787935\pi\)
−0.00697510 + 0.999976i \(0.502220\pi\)
\(14\) −671.899 842.534i −0.916186 1.14886i
\(15\) 110.432 483.836i 0.126727 0.555227i
\(16\) 1151.94 + 554.745i 1.12494 + 0.541743i
\(17\) 65.9100 + 31.7406i 0.0553132 + 0.0266374i 0.461336 0.887226i \(-0.347370\pi\)
−0.406023 + 0.913863i \(0.633085\pi\)
\(18\) −16.6636 + 20.8956i −0.0121224 + 0.0152010i
\(19\) −275.937 + 1208.96i −0.175358 + 0.768294i 0.808376 + 0.588666i \(0.200347\pi\)
−0.983735 + 0.179628i \(0.942511\pi\)
\(20\) −122.826 538.134i −0.0686616 0.300826i
\(21\) 1481.45 1857.68i 0.733058 0.919225i
\(22\) 290.270 363.987i 0.127863 0.160335i
\(23\) 392.573 + 1719.97i 0.154739 + 0.677958i 0.991469 + 0.130342i \(0.0416074\pi\)
−0.836730 + 0.547616i \(0.815535\pi\)
\(24\) −357.233 + 1565.14i −0.126597 + 0.554658i
\(25\) −1306.40 + 1638.17i −0.418048 + 0.524216i
\(26\) −3389.96 1632.52i −0.983471 0.473615i
\(27\) −3439.10 1656.18i −0.907893 0.437218i
\(28\) 588.058 2576.45i 0.141751 0.621050i
\(29\) 3841.84 + 4817.52i 0.848291 + 1.06372i 0.997193 + 0.0748710i \(0.0238545\pi\)
−0.148903 + 0.988852i \(0.547574\pi\)
\(30\) 3136.35 1510.39i 0.636240 0.306397i
\(31\) 1028.61 + 1289.84i 0.192241 + 0.241063i 0.868605 0.495505i \(-0.165017\pi\)
−0.676364 + 0.736567i \(0.736445\pi\)
\(32\) 1256.48 + 5505.00i 0.216911 + 0.950348i
\(33\) 924.837 + 445.378i 0.147836 + 0.0711941i
\(34\) 114.183 + 500.268i 0.0169396 + 0.0742173i
\(35\) 4441.71 2139.01i 0.612887 0.295151i
\(36\) −65.5414 −0.00842867
\(37\) 6031.76 0.724336 0.362168 0.932113i \(-0.382037\pi\)
0.362168 + 0.932113i \(0.382037\pi\)
\(38\) −7836.78 + 3773.99i −0.880397 + 0.423977i
\(39\) 1846.03 8087.98i 0.194347 0.851489i
\(40\) −2076.80 + 2604.22i −0.205231 + 0.257352i
\(41\) 2240.03 + 2808.91i 0.208111 + 0.260963i 0.874922 0.484264i \(-0.160913\pi\)
−0.666811 + 0.745227i \(0.732341\pi\)
\(42\) 16666.6 1.45788
\(43\) 10598.2 5889.50i 0.874101 0.485744i
\(44\) 1141.69 0.0889029
\(45\) −76.2318 95.5916i −0.00561183 0.00703702i
\(46\) −7715.56 + 9675.01i −0.537617 + 0.674150i
\(47\) 3932.25 17228.3i 0.259655 1.13762i −0.661966 0.749533i \(-0.730278\pi\)
0.921622 0.388090i \(-0.126865\pi\)
\(48\) −17815.6 + 8579.55i −1.11609 + 0.537479i
\(49\) 6796.24 0.404369
\(50\) −14697.2 −0.831401
\(51\) −1019.35 + 490.892i −0.0548778 + 0.0264278i
\(52\) −2053.20 8995.65i −0.105299 0.461343i
\(53\) −14632.4 7046.61i −0.715529 0.344580i 0.0404457 0.999182i \(-0.487122\pi\)
−0.755974 + 0.654601i \(0.772836\pi\)
\(54\) −5957.91 26103.3i −0.278041 1.21818i
\(55\) 1327.91 + 1665.14i 0.0591918 + 0.0742241i
\(56\) −14368.3 + 6919.41i −0.612259 + 0.294848i
\(57\) −11957.5 14994.2i −0.487475 0.611275i
\(58\) −9617.67 + 42137.8i −0.375405 + 1.64476i
\(59\) −28738.1 13839.6i −1.07480 0.517598i −0.189151 0.981948i \(-0.560574\pi\)
−0.885652 + 0.464350i \(0.846288\pi\)
\(60\) 7691.29 + 3703.93i 0.275817 + 0.132826i
\(61\) −9242.87 + 11590.2i −0.318040 + 0.398810i −0.914995 0.403465i \(-0.867806\pi\)
0.596955 + 0.802275i \(0.296377\pi\)
\(62\) −2575.02 + 11281.9i −0.0850749 + 0.372737i
\(63\) −130.259 570.703i −0.00413483 0.0181159i
\(64\) 814.683 1021.58i 0.0248622 0.0311762i
\(65\) 10732.0 13457.5i 0.315063 0.395076i
\(66\) 1602.19 + 7019.67i 0.0452746 + 0.198361i
\(67\) 1727.69 7569.49i 0.0470195 0.206006i −0.945962 0.324278i \(-0.894879\pi\)
0.992981 + 0.118273i \(0.0377357\pi\)
\(68\) −784.574 + 983.825i −0.0205760 + 0.0258015i
\(69\) −24582.8 11838.4i −0.621596 0.299345i
\(70\) 31155.8 + 15003.8i 0.759965 + 0.365980i
\(71\) −9581.84 + 41980.8i −0.225581 + 0.988336i 0.727616 + 0.685985i \(0.240628\pi\)
−0.953197 + 0.302351i \(0.902229\pi\)
\(72\) 246.599 + 309.225i 0.00560609 + 0.00702981i
\(73\) 32380.0 15593.4i 0.711163 0.342478i −0.0430814 0.999072i \(-0.513717\pi\)
0.754245 + 0.656593i \(0.228003\pi\)
\(74\) 26379.2 + 33078.5i 0.559994 + 0.702210i
\(75\) −7210.89 31593.0i −0.148025 0.648541i
\(76\) −19218.2 9254.99i −0.381661 0.183798i
\(77\) 2269.03 + 9941.28i 0.0436128 + 0.191080i
\(78\) 52428.4 25248.2i 0.975730 0.469887i
\(79\) 55794.9 1.00584 0.502918 0.864334i \(-0.332260\pi\)
0.502918 + 0.864334i \(0.332260\pi\)
\(80\) −41027.5 −0.716720
\(81\) 52354.0 25212.4i 0.886620 0.426974i
\(82\) −5607.70 + 24568.9i −0.0920980 + 0.403508i
\(83\) 72714.9 91181.6i 1.15859 1.45282i 0.290177 0.956973i \(-0.406286\pi\)
0.868409 0.495848i \(-0.165143\pi\)
\(84\) 25483.0 + 31954.6i 0.394050 + 0.494123i
\(85\) −2347.45 −0.0352410
\(86\) 78648.5 + 32364.1i 1.14669 + 0.471865i
\(87\) −95297.5 −1.34984
\(88\) −4295.59 5386.50i −0.0591312 0.0741481i
\(89\) −54288.9 + 68076.1i −0.726501 + 0.911003i −0.998686 0.0512419i \(-0.983682\pi\)
0.272186 + 0.962245i \(0.412253\pi\)
\(90\) 190.839 836.119i 0.00248348 0.0108808i
\(91\) 74249.3 35756.6i 0.939915 0.452639i
\(92\) −30346.8 −0.373804
\(93\) −25514.8 −0.305904
\(94\) 111678. 53781.5i 1.30362 0.627788i
\(95\) −8854.51 38794.1i −0.100660 0.441019i
\(96\) −78680.3 37890.4i −0.871341 0.419616i
\(97\) 19781.1 + 86666.7i 0.213462 + 0.935239i 0.962194 + 0.272366i \(0.0878061\pi\)
−0.748731 + 0.662873i \(0.769337\pi\)
\(98\) 29722.6 + 37270.9i 0.312623 + 0.392017i
\(99\) 227.848 109.726i 0.00233646 0.00112518i
\(100\) −22471.9 28178.9i −0.224719 0.281789i
\(101\) −37855.9 + 165858.i −0.369258 + 1.61783i 0.359561 + 0.933121i \(0.382926\pi\)
−0.728820 + 0.684706i \(0.759931\pi\)
\(102\) −7150.08 3443.30i −0.0680473 0.0327698i
\(103\) −53433.4 25732.2i −0.496272 0.238992i 0.168968 0.985622i \(-0.445957\pi\)
−0.665240 + 0.746630i \(0.731671\pi\)
\(104\) −34716.5 + 43533.1i −0.314740 + 0.394672i
\(105\) −16966.1 + 74333.4i −0.150179 + 0.657977i
\(106\) −25349.3 111063.i −0.219130 0.960071i
\(107\) −90706.2 + 113742.i −0.765909 + 0.960420i −0.999930 0.0118115i \(-0.996240\pi\)
0.234021 + 0.972232i \(0.424812\pi\)
\(108\) 40938.1 51334.7i 0.337729 0.423498i
\(109\) 16442.5 + 72039.3i 0.132557 + 0.580769i 0.996956 + 0.0779634i \(0.0248417\pi\)
−0.864399 + 0.502806i \(0.832301\pi\)
\(110\) −3324.29 + 14564.6i −0.0261949 + 0.114767i
\(111\) −58162.7 + 72933.8i −0.448061 + 0.561851i
\(112\) −176976. 85227.4i −1.33312 0.641999i
\(113\) 170137. + 81933.7i 1.25344 + 0.603624i 0.938431 0.345466i \(-0.112279\pi\)
0.315006 + 0.949090i \(0.397993\pi\)
\(114\) 29934.4 131151.i 0.215729 0.945169i
\(115\) −35296.7 44260.6i −0.248879 0.312085i
\(116\) −95495.6 + 45988.3i −0.658929 + 0.317323i
\(117\) −1274.32 1597.94i −0.00860624 0.0107919i
\(118\) −49786.1 218127.i −0.329157 1.44213i
\(119\) −10126.0 4876.41i −0.0655495 0.0315670i
\(120\) −11463.2 50223.6i −0.0726697 0.318387i
\(121\) 141133. 67966.1i 0.876325 0.422016i
\(122\) −103984. −0.632509
\(123\) −55564.4 −0.331157
\(124\) −25567.9 + 12312.8i −0.149328 + 0.0719124i
\(125\) 37275.3 163314.i 0.213376 0.934863i
\(126\) 2560.09 3210.26i 0.0143658 0.0180141i
\(127\) −170018. 213196.i −0.935375 1.17292i −0.984721 0.174142i \(-0.944285\pi\)
0.0493451 0.998782i \(-0.484287\pi\)
\(128\) 189856. 1.02423
\(129\) −30982.2 + 184941.i −0.163922 + 0.978493i
\(130\) 120737. 0.626587
\(131\) 53567.6 + 67171.6i 0.272724 + 0.341985i 0.899266 0.437403i \(-0.144102\pi\)
−0.626542 + 0.779388i \(0.715530\pi\)
\(132\) −11009.0 + 13804.9i −0.0549937 + 0.0689600i
\(133\) 42393.1 185737.i 0.207810 0.910475i
\(134\) 49067.4 23629.6i 0.236064 0.113683i
\(135\) 122487. 0.578435
\(136\) 7593.66 0.0352050
\(137\) −58229.6 + 28041.9i −0.265059 + 0.127646i −0.561694 0.827345i \(-0.689850\pi\)
0.296634 + 0.954991i \(0.404136\pi\)
\(138\) −42587.3 186587.i −0.190363 0.834035i
\(139\) −27244.1 13120.1i −0.119601 0.0575970i 0.373126 0.927781i \(-0.378286\pi\)
−0.492728 + 0.870184i \(0.664000\pi\)
\(140\) 18870.1 + 82675.4i 0.0813682 + 0.356497i
\(141\) 170401. + 213676.i 0.721811 + 0.905122i
\(142\) −272130. + 131051.i −1.13254 + 0.545405i
\(143\) 22197.8 + 27835.2i 0.0907758 + 0.113829i
\(144\) −1084.03 + 4749.46i −0.00435649 + 0.0190870i
\(145\) −178145. 85790.3i −0.703647 0.338858i
\(146\) 227125. + 109378.i 0.881826 + 0.424665i
\(147\) −65534.4 + 82177.5i −0.250136 + 0.313660i
\(148\) −23087.6 + 101153.i −0.0866412 + 0.379600i
\(149\) 36035.6 + 157882.i 0.132974 + 0.582596i 0.996879 + 0.0789422i \(0.0251543\pi\)
−0.863905 + 0.503654i \(0.831989\pi\)
\(150\) 141722. 177713.i 0.514290 0.644899i
\(151\) −273653. + 343150.i −0.976692 + 1.22473i −0.00227226 + 0.999997i \(0.500723\pi\)
−0.974420 + 0.224736i \(0.927848\pi\)
\(152\) 28643.1 + 125494.i 0.100557 + 0.440567i
\(153\) −62.0247 + 271.748i −0.000214208 + 0.000938507i
\(154\) −44595.2 + 55920.6i −0.151526 + 0.190007i
\(155\) −47696.4 22969.4i −0.159462 0.0767927i
\(156\) 128570. + 61916.2i 0.422989 + 0.203701i
\(157\) −36509.1 + 159957.i −0.118209 + 0.517909i 0.880803 + 0.473482i \(0.157003\pi\)
−0.999013 + 0.0444266i \(0.985854\pi\)
\(158\) 244013. + 305982.i 0.777624 + 0.975110i
\(159\) 226302. 108981.i 0.709897 0.341868i
\(160\) −112972. 141662.i −0.348874 0.437475i
\(161\) −60312.3 264246.i −0.183376 0.803421i
\(162\) 367231. + 176849.i 1.09939 + 0.529438i
\(163\) −78064.6 342023.i −0.230136 1.00829i −0.949526 0.313687i \(-0.898436\pi\)
0.719390 0.694606i \(-0.244421\pi\)
\(164\) −55679.9 + 26814.0i −0.161655 + 0.0778489i
\(165\) −32939.0 −0.0941890
\(166\) 818056. 2.30416
\(167\) −413628. + 199193.i −1.14767 + 0.552691i −0.908334 0.418245i \(-0.862645\pi\)
−0.239340 + 0.970936i \(0.576931\pi\)
\(168\) 54883.0 240458.i 0.150025 0.657304i
\(169\) −52097.4 + 65328.1i −0.140314 + 0.175948i
\(170\) −10266.3 12873.5i −0.0272453 0.0341645i
\(171\) −4724.88 −0.0123567
\(172\) 58201.2 + 200276.i 0.150007 + 0.516189i
\(173\) −218673. −0.555494 −0.277747 0.960654i \(-0.589588\pi\)
−0.277747 + 0.960654i \(0.589588\pi\)
\(174\) −416773. 522617.i −1.04358 1.30861i
\(175\) 200707. 251678.i 0.495412 0.621228i
\(176\) 18883.2 82732.6i 0.0459508 0.201324i
\(177\) 444457. 214039.i 1.06634 0.513524i
\(178\) −610760. −1.44484
\(179\) −332591. −0.775850 −0.387925 0.921691i \(-0.626808\pi\)
−0.387925 + 0.921691i \(0.626808\pi\)
\(180\) 1894.87 912.522i 0.00435912 0.00209924i
\(181\) −46441.1 203472.i −0.105367 0.461644i −0.999893 0.0146278i \(-0.995344\pi\)
0.894526 0.447016i \(-0.147513\pi\)
\(182\) 520812. + 250810.i 1.16547 + 0.561262i
\(183\) −51017.6 223523.i −0.112614 0.493394i
\(184\) 114180. + 143177.i 0.248625 + 0.311765i
\(185\) −174385. + 83979.3i −0.374610 + 0.180403i
\(186\) −111586. 139925.i −0.236498 0.296560i
\(187\) 1080.43 4733.67i 0.00225940 0.00989906i
\(188\) 273870. + 131889.i 0.565131 + 0.272153i
\(189\) 528360. + 254445.i 1.07591 + 0.518130i
\(190\) 174025. 218220.i 0.349726 0.438542i
\(191\) −108615. + 475871.i −0.215429 + 0.943857i 0.745379 + 0.666641i \(0.232269\pi\)
−0.960808 + 0.277216i \(0.910588\pi\)
\(192\) 4496.78 + 19701.7i 0.00880336 + 0.0385700i
\(193\) 375311. 470625.i 0.725267 0.909456i −0.273356 0.961913i \(-0.588134\pi\)
0.998623 + 0.0524571i \(0.0167053\pi\)
\(194\) −388774. + 487508.i −0.741640 + 0.929987i
\(195\) 59237.0 + 259534.i 0.111560 + 0.488774i
\(196\) −26013.7 + 113974.i −0.0483685 + 0.211916i
\(197\) 276660. 346921.i 0.507904 0.636891i −0.460088 0.887873i \(-0.652182\pi\)
0.967992 + 0.250982i \(0.0807536\pi\)
\(198\) 1598.21 + 769.659i 0.00289715 + 0.00139520i
\(199\) 751375. + 361843.i 1.34501 + 0.647720i 0.961241 0.275711i \(-0.0889131\pi\)
0.383765 + 0.923431i \(0.374627\pi\)
\(200\) −48398.0 + 212046.i −0.0855564 + 0.374847i
\(201\) 74867.8 + 93881.2i 0.130709 + 0.163904i
\(202\) −1.07513e6 + 517756.i −1.85389 + 0.892784i
\(203\) −590236. 740132.i −1.00528 1.26058i
\(204\) −4330.59 18973.6i −0.00728570 0.0319208i
\(205\) −103870. 50021.1i −0.172626 0.0831321i
\(206\) −92568.4 405568.i −0.151983 0.665880i
\(207\) −6056.36 + 2916.59i −0.00982394 + 0.00473096i
\(208\) −685830. −1.09915
\(209\) 82304.4 0.130334
\(210\) −481848. + 232046.i −0.753984 + 0.363099i
\(211\) 266861. 1.16919e6i 0.412647 1.80793i −0.158828 0.987306i \(-0.550771\pi\)
0.571475 0.820619i \(-0.306371\pi\)
\(212\) 174181. 218415.i 0.266171 0.333767i
\(213\) −415220. 520670.i −0.627089 0.786345i
\(214\) −1.02046e6 −1.52322
\(215\) −224407. + 317829.i −0.331086 + 0.468919i
\(216\) −396227. −0.577843
\(217\) −158029. 198162.i −0.227817 0.285674i
\(218\) −323158. + 405228.i −0.460547 + 0.577508i
\(219\) −123683. + 541889.i −0.174260 + 0.763485i
\(220\) −33007.4 + 15895.5i −0.0459785 + 0.0221421i
\(221\) −39240.8 −0.0540452
\(222\) −654341. −0.891090
\(223\) 715908. 344763.i 0.964040 0.464257i 0.115453 0.993313i \(-0.463168\pi\)
0.848587 + 0.529055i \(0.177454\pi\)
\(224\) −193038. 845753.i −0.257052 1.12622i
\(225\) −7192.98 3463.96i −0.00947224 0.00456159i
\(226\) 294746. + 1.29137e6i 0.383864 + 1.68182i
\(227\) −264396. 331543.i −0.340558 0.427046i 0.581830 0.813310i \(-0.302337\pi\)
−0.922388 + 0.386264i \(0.873765\pi\)
\(228\) 297224. 143135.i 0.378657 0.182352i
\(229\) 661802. + 829874.i 0.833949 + 1.04574i 0.998239 + 0.0593272i \(0.0188955\pi\)
−0.164289 + 0.986412i \(0.552533\pi\)
\(230\) 88361.6 387138.i 0.110140 0.482554i
\(231\) −142086. 68425.0i −0.175195 0.0843693i
\(232\) 576275. + 277519.i 0.702926 + 0.338512i
\(233\) 74557.6 93492.3i 0.0899709 0.112820i −0.734808 0.678275i \(-0.762728\pi\)
0.824779 + 0.565455i \(0.191299\pi\)
\(234\) 3190.13 13976.9i 0.00380863 0.0166867i
\(235\) 126182. + 552838.i 0.149048 + 0.653022i
\(236\) 342091. 428969.i 0.399817 0.501355i
\(237\) −538016. + 674651.i −0.622192 + 0.780204i
\(238\) −17542.3 76857.9i −0.0200745 0.0879520i
\(239\) 40212.3 176181.i 0.0455369 0.199510i −0.947043 0.321108i \(-0.895945\pi\)
0.992579 + 0.121598i \(0.0388018\pi\)
\(240\) 395617. 496088.i 0.443350 0.555944i
\(241\) 1.54937e6 + 746136.i 1.71835 + 0.827514i 0.989790 + 0.142533i \(0.0455245\pi\)
0.728560 + 0.684982i \(0.240190\pi\)
\(242\) 989959. + 476739.i 1.08662 + 0.523290i
\(243\) 6422.77 28140.0i 0.00697761 0.0305709i
\(244\) −158990. 199367.i −0.170960 0.214378i
\(245\) −196487. + 94623.0i −0.209131 + 0.100712i
\(246\) −243005. 304718.i −0.256022 0.321041i
\(247\) −148015. 648497.i −0.154370 0.676341i
\(248\) 154291. + 74302.6i 0.159298 + 0.0767141i
\(249\) 401362. + 1.75848e6i 0.410240 + 1.79738i
\(250\) 1.05864e6 509815.i 1.07127 0.515896i
\(251\) −1.61981e6 −1.62286 −0.811430 0.584450i \(-0.801310\pi\)
−0.811430 + 0.584450i \(0.801310\pi\)
\(252\) 10069.3 0.00998849
\(253\) 105498. 50805.1i 0.103620 0.0499006i
\(254\) 425623. 1.86478e6i 0.413944 1.81361i
\(255\) 22635.8 28384.5i 0.0217995 0.0273357i
\(256\) 804243. + 1.00849e6i 0.766986 + 0.961770i
\(257\) 1.41355e6 1.33499 0.667495 0.744614i \(-0.267366\pi\)
0.667495 + 0.744614i \(0.267366\pi\)
\(258\) −1.14972e6 + 638909.i −1.07533 + 0.597571i
\(259\) −926681. −0.858382
\(260\) 184605. + 231488.i 0.169360 + 0.212371i
\(261\) −14638.3 + 18355.9i −0.0133012 + 0.0166792i
\(262\) −134101. + 587535.i −0.120692 + 0.528787i
\(263\) 1.83965e6 885928.i 1.64001 0.789785i 0.640239 0.768175i \(-0.278835\pi\)
0.999766 0.0216097i \(-0.00687913\pi\)
\(264\) 106553. 0.0940926
\(265\) 521149. 0.455876
\(266\) 1.20399e6 579812.i 1.04332 0.502438i
\(267\) −299657. 1.31288e6i −0.257244 1.12706i
\(268\) 120328. + 57947.0i 0.102336 + 0.0492826i
\(269\) −247752. 1.08547e6i −0.208755 0.914614i −0.965397 0.260785i \(-0.916019\pi\)
0.756642 0.653829i \(-0.226839\pi\)
\(270\) 535682. + 671724.i 0.447196 + 0.560766i
\(271\) 242796. 116925.i 0.200825 0.0967124i −0.330768 0.943712i \(-0.607308\pi\)
0.531593 + 0.847000i \(0.321593\pi\)
\(272\) 58316.4 + 73126.5i 0.0477935 + 0.0599311i
\(273\) −283612. + 1.24258e6i −0.230313 + 1.00907i
\(274\) −408444. 196696.i −0.328667 0.158278i
\(275\) 125297. + 60339.9i 0.0999100 + 0.0481141i
\(276\) 292626. 366942.i 0.231228 0.289951i
\(277\) −412358. + 1.80666e6i −0.322905 + 1.41474i 0.509451 + 0.860500i \(0.329849\pi\)
−0.832356 + 0.554241i \(0.813009\pi\)
\(278\) −47197.9 206788.i −0.0366278 0.160477i
\(279\) −3919.25 + 4914.58i −0.00301434 + 0.00377986i
\(280\) 319065. 400095.i 0.243212 0.304978i
\(281\) −169998. 744810.i −0.128433 0.562703i −0.997665 0.0682982i \(-0.978243\pi\)
0.869232 0.494405i \(-0.164614\pi\)
\(282\) −426581. + 1.86897e6i −0.319432 + 1.39952i
\(283\) −351056. + 440210.i −0.260561 + 0.326734i −0.894854 0.446360i \(-0.852720\pi\)
0.634292 + 0.773093i \(0.281292\pi\)
\(284\) −667346. 321377.i −0.490970 0.236439i
\(285\) 554466. + 267017.i 0.404355 + 0.194727i
\(286\) −55570.0 + 243468.i −0.0401721 + 0.176006i
\(287\) −344144. 431543.i −0.246624 0.309257i
\(288\) −19384.2 + 9334.92i −0.0137710 + 0.00663177i
\(289\) −881930. 1.10590e6i −0.621140 0.778885i
\(290\) −308620. 1.35215e6i −0.215491 0.944129i
\(291\) −1.23868e6 596519.i −0.857488 0.412945i
\(292\) 137563. + 602702.i 0.0944156 + 0.413662i
\(293\) −1.14789e6 + 552794.i −0.781144 + 0.376179i −0.781567 0.623821i \(-0.785579\pi\)
0.000423511 1.00000i \(0.499865\pi\)
\(294\) −737273. −0.497462
\(295\) 1.02354e6 0.684776
\(296\) 564110. 271661.i 0.374226 0.180218i
\(297\) −56375.4 + 246997.i −0.0370850 + 0.162480i
\(298\) −708238. + 888102.i −0.461996 + 0.579325i
\(299\) −590032. 739877.i −0.381678 0.478609i
\(300\) 557419. 0.357584
\(301\) −1.62824e6 + 904825.i −1.03586 + 0.575636i
\(302\) −3.07864e6 −1.94241
\(303\) −1.64045e6 2.05706e6i −1.02650 1.28718i
\(304\) −988527. + 1.23957e6i −0.613486 + 0.769287i
\(305\) 105853. 463772.i 0.0651559 0.285466i
\(306\) −1761.54 + 848.312i −0.00107545 + 0.000517907i
\(307\) −1.27851e6 −0.774207 −0.387104 0.922036i \(-0.626524\pi\)
−0.387104 + 0.922036i \(0.626524\pi\)
\(308\) −175401. −0.105355
\(309\) 826388. 397968.i 0.492366 0.237111i
\(310\) −82629.5 362024.i −0.0488350 0.213960i
\(311\) 237632. + 114438.i 0.139317 + 0.0670916i 0.502244 0.864726i \(-0.332508\pi\)
−0.362926 + 0.931818i \(0.618222\pi\)
\(312\) −191623. 839557.i −0.111445 0.488274i
\(313\) 1.68146e6 + 2.10848e6i 0.970118 + 1.21649i 0.976281 + 0.216509i \(0.0694671\pi\)
−0.00616225 + 0.999981i \(0.501962\pi\)
\(314\) −1.03688e6 + 499335.i −0.593478 + 0.285804i
\(315\) 11711.8 + 14686.1i 0.00665037 + 0.00833929i
\(316\) −213564. + 935687.i −0.120313 + 0.527124i
\(317\) 2.42593e6 + 1.16827e6i 1.35591 + 0.652972i 0.963721 0.266913i \(-0.0860037\pi\)
0.392189 + 0.919885i \(0.371718\pi\)
\(318\) 1.58736e6 + 764434.i 0.880256 + 0.423909i
\(319\) 254990. 319748.i 0.140297 0.175926i
\(320\) −9330.07 + 40877.7i −0.00509342 + 0.0223158i
\(321\) −500668. 2.19357e6i −0.271198 1.18820i
\(322\) 1.18537e6 1.48641e6i 0.637109 0.798909i
\(323\) −56560.0 + 70924.1i −0.0301650 + 0.0378257i
\(324\) 222420. + 974488.i 0.117710 + 0.515720i
\(325\) 250100. 1.09576e6i 0.131343 0.575450i
\(326\) 1.53427e6 1.92391e6i 0.799572 1.00263i
\(327\) −1.02962e6 495840.i −0.532487 0.256432i
\(328\) 336004. + 161811.i 0.172449 + 0.0830470i
\(329\) −604126. + 2.64685e6i −0.307707 + 1.34815i
\(330\) −144055. 180639.i −0.0728187 0.0913118i
\(331\) 3.48061e6 1.67617e6i 1.74617 0.840910i 0.765972 0.642874i \(-0.222258\pi\)
0.980195 0.198035i \(-0.0634561\pi\)
\(332\) 1.25080e6 + 1.56845e6i 0.622790 + 0.780954i
\(333\) 5114.08 + 22406.2i 0.00252730 + 0.0110728i
\(334\) −2.90134e6 1.39721e6i −1.42309 0.685324i
\(335\) 55439.6 + 242897.i 0.0269903 + 0.118252i
\(336\) 2.73708e6 1.31811e6i 1.32263 0.636945i
\(337\) −2.43361e6 −1.16728 −0.583641 0.812012i \(-0.698372\pi\)
−0.583641 + 0.812012i \(0.698372\pi\)
\(338\) −586105. −0.279051
\(339\) −2.63130e6 + 1.26717e6i −1.24357 + 0.598873i
\(340\) 8985.25 39367.0i 0.00421534 0.0184686i
\(341\) 68270.7 85608.8i 0.0317943 0.0398687i
\(342\) −20663.8 25911.5i −0.00955309 0.0119792i
\(343\) 1.53799e6 0.705859
\(344\) 725925. 1.02813e6i 0.330747 0.468439i
\(345\) 875539. 0.396030
\(346\) −956340. 1.19921e6i −0.429459 0.538525i
\(347\) −2.59366e6 + 3.25234e6i −1.15635 + 1.45002i −0.285558 + 0.958361i \(0.592179\pi\)
−0.870791 + 0.491654i \(0.836392\pi\)
\(348\) 364767. 1.59815e6i 0.161461 0.707407i
\(349\) −2.16041e6 + 1.04040e6i −0.949450 + 0.457231i −0.843493 0.537140i \(-0.819505\pi\)
−0.105957 + 0.994371i \(0.533790\pi\)
\(350\) 2.25799e6 0.985261
\(351\) 2.04753e6 0.887081
\(352\) 337659. 162608.i 0.145252 0.0699497i
\(353\) −641517. 2.81067e6i −0.274013 1.20053i −0.905230 0.424923i \(-0.860301\pi\)
0.631217 0.775607i \(-0.282556\pi\)
\(354\) 3.11759e6 + 1.50135e6i 1.32224 + 0.636758i
\(355\) −307470. 1.34712e6i −0.129489 0.567328i
\(356\) −933844. 1.17100e6i −0.390525 0.489703i
\(357\) 156606. 75417.4i 0.0650336 0.0313185i
\(358\) −1.45455e6 1.82395e6i −0.599820 0.752150i
\(359\) 119597. 523990.i 0.0489762 0.214579i −0.944518 0.328459i \(-0.893471\pi\)
0.993495 + 0.113880i \(0.0363280\pi\)
\(360\) −11434.7 5506.68i −0.00465018 0.00223941i
\(361\) 845448. + 407146.i 0.341443 + 0.164430i
\(362\) 912745. 1.14455e6i 0.366082 0.459052i
\(363\) −539089. + 2.36191e6i −0.214731 + 0.940797i
\(364\) 315440. + 1.38203e6i 0.124785 + 0.546720i
\(365\) −719036. + 901643.i −0.282500 + 0.354244i
\(366\) 1.00269e6 1.25733e6i 0.391259 0.490623i
\(367\) 524050. + 2.29601e6i 0.203099 + 0.889834i 0.969036 + 0.246919i \(0.0794181\pi\)
−0.765937 + 0.642915i \(0.777725\pi\)
\(368\) −501927. + 2.19909e6i −0.193206 + 0.846491i
\(369\) −8535.06 + 10702.6i −0.00326318 + 0.00409190i
\(370\) −1.22320e6 589062.i −0.464508 0.223695i
\(371\) 2.24803e6 + 1.08259e6i 0.847945 + 0.408349i
\(372\) 97662.2 427886.i 0.0365906 0.160314i
\(373\) 1.46301e6 + 1.83456e6i 0.544472 + 0.682746i 0.975603 0.219543i \(-0.0704566\pi\)
−0.431131 + 0.902289i \(0.641885\pi\)
\(374\) 30684.8 14777.0i 0.0113434 0.00546271i
\(375\) 1.61529e6 + 2.02551e6i 0.593161 + 0.743801i
\(376\) −408180. 1.78835e6i −0.148896 0.652354i
\(377\) −2.97794e6 1.43410e6i −1.07910 0.519669i
\(378\) 915334. + 4.01034e6i 0.329496 + 1.44362i
\(379\) 2.76899e6 1.33347e6i 0.990200 0.476855i 0.132598 0.991170i \(-0.457668\pi\)
0.857601 + 0.514315i \(0.171954\pi\)
\(380\) 684474. 0.243163
\(381\) 4.21733e6 1.48842
\(382\) −3.08472e6 + 1.48552e6i −1.08158 + 0.520860i
\(383\) −270745. + 1.18621e6i −0.0943113 + 0.413205i −0.999941 0.0108645i \(-0.996542\pi\)
0.905630 + 0.424070i \(0.139399\pi\)
\(384\) −1.83073e6 + 2.29566e6i −0.633572 + 0.794475i
\(385\) −204011. 255822.i −0.0701459 0.0879601i
\(386\) 4.22231e6 1.44239
\(387\) 30863.6 + 34375.8i 0.0104754 + 0.0116674i
\(388\) −1.52913e6 −0.515660
\(389\) −3.33817e6 4.18594e6i −1.11850 1.40255i −0.904898 0.425629i \(-0.860053\pi\)
−0.213599 0.976921i \(-0.568519\pi\)
\(390\) −1.16423e6 + 1.45990e6i −0.387596 + 0.486030i
\(391\) −28718.5 + 125824.i −0.00949992 + 0.0416219i
\(392\) 635606. 306092.i 0.208917 0.100609i
\(393\) −1.32875e6 −0.433973
\(394\) 3.11248e6 1.01010
\(395\) −1.61309e6 + 776824.i −0.520195 + 0.250513i
\(396\) 967.989 + 4241.04i 0.000310193 + 0.00135905i
\(397\) −4.27577e6 2.05910e6i −1.36156 0.655695i −0.396579 0.918000i \(-0.629803\pi\)
−0.964985 + 0.262306i \(0.915517\pi\)
\(398\) 1.30169e6 + 5.70306e6i 0.411907 + 1.80468i
\(399\) 1.83707e6 + 2.30361e6i 0.577688 + 0.724398i
\(400\) −2.41366e6 + 1.16236e6i −0.754270 + 0.363237i
\(401\) −599915. 752270.i −0.186307 0.233622i 0.679903 0.733302i \(-0.262022\pi\)
−0.866210 + 0.499681i \(0.833451\pi\)
\(402\) −187424. + 821158.i −0.0578442 + 0.253432i
\(403\) −797310. 383964.i −0.244548 0.117768i
\(404\) −2.63655e6 1.26970e6i −0.803679 0.387032i
\(405\) −1.16258e6 + 1.45783e6i −0.352198 + 0.441642i
\(406\) 1.47760e6 6.47377e6i 0.444878 1.94914i
\(407\) −89083.9 390302.i −0.0266571 0.116792i
\(408\) −73223.7 + 91819.6i −0.0217772 + 0.0273077i
\(409\) 3.57872e6 4.48757e6i 1.05784 1.32649i 0.114954 0.993371i \(-0.463328\pi\)
0.942885 0.333117i \(-0.108101\pi\)
\(410\) −179945. 788390.i −0.0528664 0.231623i
\(411\) 222421. 974492.i 0.0649489 0.284560i
\(412\) 636057. 797590.i 0.184609 0.231492i
\(413\) 4.41514e6 + 2.12622e6i 1.27371 + 0.613385i
\(414\) −42481.5 20458.0i −0.0121815 0.00586628i
\(415\) −832760. + 3.64856e6i −0.237356 + 1.03992i
\(416\) −1.88847e6 2.36807e6i −0.535029 0.670906i
\(417\) 421351. 202912.i 0.118660 0.0571436i
\(418\) 359949. + 451362.i 0.100763 + 0.126353i
\(419\) 658226. + 2.88388e6i 0.183164 + 0.802493i 0.980112 + 0.198445i \(0.0635893\pi\)
−0.796948 + 0.604048i \(0.793554\pi\)
\(420\) −1.18164e6 569047.i −0.326860 0.157407i
\(421\) 279646. + 1.22521e6i 0.0768960 + 0.336904i 0.998713 0.0507224i \(-0.0161524\pi\)
−0.921817 + 0.387626i \(0.873295\pi\)
\(422\) 7.57901e6 3.64986e6i 2.07172 0.997689i
\(423\) 67332.2 0.0182967
\(424\) −1.68584e6 −0.455409
\(425\) −138101. + 66506.1i −0.0370873 + 0.0178603i
\(426\) 1.03946e6 4.55418e6i 0.277514 1.21587i
\(427\) 1.42001e6 1.78064e6i 0.376897 0.472614i
\(428\) −1.56027e6 1.95652e6i −0.411709 0.516267i
\(429\) −550620. −0.144447
\(430\) −2.72441e6 + 159329.i −0.710562 + 0.0415550i
\(431\) −1.62803e6 −0.422153 −0.211077 0.977470i \(-0.567697\pi\)
−0.211077 + 0.977470i \(0.567697\pi\)
\(432\) −3.04287e6 3.81564e6i −0.784467 0.983690i
\(433\) −2.72533e6 + 3.41745e6i −0.698552 + 0.875957i −0.996914 0.0784958i \(-0.974988\pi\)
0.298362 + 0.954453i \(0.403560\pi\)
\(434\) 395609. 1.73328e6i 0.100819 0.441717i
\(435\) 2.75516e6 1.32681e6i 0.698109 0.336191i
\(436\) −1.27104e6 −0.320217
\(437\) −2.18770e6 −0.548006
\(438\) −3.51266e6 + 1.69161e6i −0.874885 + 0.421323i
\(439\) 56625.1 + 248091.i 0.0140232 + 0.0614398i 0.981455 0.191691i \(-0.0613970\pi\)
−0.967432 + 0.253130i \(0.918540\pi\)
\(440\) 199186. + 95922.8i 0.0490486 + 0.0236206i
\(441\) 5762.24 + 25246.0i 0.00141090 + 0.00618154i
\(442\) −171615. 215199.i −0.0417831 0.0523943i
\(443\) −1.70340e6 + 820312.i −0.412388 + 0.198596i −0.628562 0.777759i \(-0.716356\pi\)
0.216174 + 0.976355i \(0.430642\pi\)
\(444\) −1.00048e6 1.25456e6i −0.240852 0.302019i
\(445\) 621738. 2.72401e6i 0.148836 0.652092i
\(446\) 5.02165e6 + 2.41830e6i 1.19539 + 0.575669i
\(447\) −2.25653e6 1.08669e6i −0.534162 0.257239i
\(448\) −125163. + 156949.i −0.0294632 + 0.0369456i
\(449\) 609335. 2.66967e6i 0.142640 0.624945i −0.852176 0.523255i \(-0.824718\pi\)
0.994816 0.101691i \(-0.0324252\pi\)
\(450\) −12461.2 54595.9i −0.00290086 0.0127095i
\(451\) 148675. 186433.i 0.0344189 0.0431600i
\(452\) −2.02526e6 + 2.53960e6i −0.466268 + 0.584682i
\(453\) −1.51047e6 6.61781e6i −0.345834 1.51520i
\(454\) 661890. 2.89993e6i 0.150711 0.660310i
\(455\) −1.64879e6 + 2.06752e6i −0.373369 + 0.468189i
\(456\) −1.79362e6 863761.i −0.403941 0.194528i
\(457\) 3.07243e6 + 1.47961e6i 0.688164 + 0.331402i 0.745078 0.666977i \(-0.232412\pi\)
−0.0569148 + 0.998379i \(0.518126\pi\)
\(458\) −1.65676e6 + 7.25872e6i −0.369058 + 1.61695i
\(459\) −174103. 218318.i −0.0385721 0.0483679i
\(460\) 877359. 422514.i 0.193323 0.0930993i
\(461\) 1.09138e6 + 1.36854e6i 0.239178 + 0.299920i 0.886904 0.461953i \(-0.152851\pi\)
−0.647726 + 0.761873i \(0.724280\pi\)
\(462\) −246150. 1.07846e6i −0.0536532 0.235070i
\(463\) 2.54620e6 + 1.22618e6i 0.552001 + 0.265830i 0.689024 0.724738i \(-0.258039\pi\)
−0.137023 + 0.990568i \(0.543754\pi\)
\(464\) 1.75308e6 + 7.68074e6i 0.378013 + 1.65618i
\(465\) 737661. 355239.i 0.158207 0.0761883i
\(466\) 838786. 0.178931
\(467\) −7.27996e6 −1.54467 −0.772337 0.635213i \(-0.780912\pi\)
−0.772337 + 0.635213i \(0.780912\pi\)
\(468\) 31675.4 15254.1i 0.00668509 0.00321937i
\(469\) −265431. + 1.16293e6i −0.0557210 + 0.244130i
\(470\) −2.47995e6 + 3.10976e6i −0.517844 + 0.649355i
\(471\) −1.58209e6 1.98388e6i −0.328608 0.412062i
\(472\) −3.31100e6 −0.684075
\(473\) −537623. 598804.i −0.110491 0.123064i
\(474\) −6.05277e6 −1.23740
\(475\) −1.62000e6 2.03142e6i −0.329444 0.413109i
\(476\) 120537. 151148.i 0.0243839 0.0305764i
\(477\) 13769.9 60329.7i 0.00277098 0.0121405i
\(478\) 1.14205e6 549984.i 0.228621 0.110098i
\(479\) 5.08638e6 1.01291 0.506454 0.862267i \(-0.330956\pi\)
0.506454 + 0.862267i \(0.330956\pi\)
\(480\) 2.80228e6 0.555147
\(481\) −2.91508e6 + 1.40383e6i −0.574497 + 0.276663i
\(482\) 2.68413e6 + 1.17600e7i 0.526243 + 2.30562i
\(483\) 3.77673e6 + 1.81878e6i 0.736629 + 0.354742i
\(484\) 599588. + 2.62697e6i 0.116343 + 0.509731i
\(485\) −1.77854e6 2.23022e6i −0.343328 0.430520i
\(486\) 182410. 87844.2i 0.0350315 0.0168703i
\(487\) 358667. + 449754.i 0.0685282 + 0.0859316i 0.814914 0.579582i \(-0.196784\pi\)
−0.746386 + 0.665513i \(0.768213\pi\)
\(488\) −342419. + 1.50024e6i −0.0650891 + 0.285174i
\(489\) 4.88837e6 + 2.35412e6i 0.924469 + 0.445201i
\(490\) −1.37823e6 663720.i −0.259317 0.124881i
\(491\) 2.52228e6 3.16284e6i 0.472160 0.592070i −0.487538 0.873102i \(-0.662105\pi\)
0.959699 + 0.281031i \(0.0906765\pi\)
\(492\) 212682. 931821.i 0.0396112 0.173548i
\(493\) 100305. + 439465.i 0.0185868 + 0.0814342i
\(494\) 2.90907e6 3.64785e6i 0.536335 0.672543i
\(495\) −5059.65 + 6344.60i −0.000928127 + 0.00116383i
\(496\) 469366. + 2.05643e6i 0.0856659 + 0.375327i
\(497\) 1.47209e6 6.44965e6i 0.267327 1.17124i
\(498\) −7.88830e6 + 9.89162e6i −1.42531 + 1.78729i
\(499\) 6.86615e6 + 3.30656e6i 1.23442 + 0.594464i 0.933291 0.359121i \(-0.116923\pi\)
0.301126 + 0.953584i \(0.402638\pi\)
\(500\) 2.59611e6 + 1.25022e6i 0.464407 + 0.223647i
\(501\) 1.57995e6 6.92220e6i 0.281221 1.23211i
\(502\) −7.08408e6 8.88315e6i −1.25465 1.57329i
\(503\) 4.13679e6 1.99217e6i 0.729026 0.351081i −0.0322748 0.999479i \(-0.510275\pi\)
0.761301 + 0.648398i \(0.224561\pi\)
\(504\) −37885.8 47507.3i −0.00664356 0.00833076i
\(505\) −1.21475e6 5.32219e6i −0.211963 0.928671i
\(506\) 740001. + 356366.i 0.128486 + 0.0618756i
\(507\) −287560. 1.25988e6i −0.0496832 0.217676i
\(508\) 4.22609e6 2.03518e6i 0.726574 0.349900i
\(509\) −4.86437e6 −0.832209 −0.416104 0.909317i \(-0.636605\pi\)
−0.416104 + 0.909317i \(0.636605\pi\)
\(510\) 254657. 0.0433541
\(511\) −4.97465e6 + 2.39566e6i −0.842772 + 0.405858i
\(512\) −661441. + 2.89796e6i −0.111511 + 0.488560i
\(513\) 2.95123e6 3.70072e6i 0.495119 0.620859i
\(514\) 6.18200e6 + 7.75199e6i 1.03210 + 1.29421i
\(515\) 1.90308e6 0.316184
\(516\) −2.98288e6 1.22747e6i −0.493188 0.202948i
\(517\) −1.17288e6 −0.192987
\(518\) −4.05273e6 5.08197e6i −0.663626 0.832161i
\(519\) 2.10860e6 2.64411e6i 0.343619 0.430884i
\(520\) 397587. 1.74194e6i 0.0644798 0.282504i
\(521\) 1.11155e6 535294.i 0.179405 0.0863968i −0.342025 0.939691i \(-0.611113\pi\)
0.521430 + 0.853294i \(0.325399\pi\)
\(522\) −164684. −0.0264530
\(523\) 7.57480e6 1.21092 0.605462 0.795874i \(-0.292988\pi\)
0.605462 + 0.795874i \(0.292988\pi\)
\(524\) −1.33151e6 + 641223.i −0.211845 + 0.102019i
\(525\) 1.10783e6 + 4.85374e6i 0.175419 + 0.768561i
\(526\) 1.29040e7 + 6.21423e6i 2.03357 + 0.979316i
\(527\) 26855.5 + 117662.i 0.00421218 + 0.0184548i
\(528\) 818285. + 1.02610e6i 0.127738 + 0.160178i
\(529\) 2.99475e6 1.44219e6i 0.465287 0.224070i
\(530\) 2.27918e6 + 2.85801e6i 0.352444 + 0.441951i
\(531\) 27044.1 118488.i 0.00416232 0.0182363i
\(532\) 2.95256e6 + 1.42188e6i 0.452292 + 0.217812i
\(533\) −1.73633e6 836171.i −0.264736 0.127490i
\(534\) 5.88940e6 7.38507e6i 0.893754 1.12073i
\(535\) 1.03880e6 4.55129e6i 0.156909 0.687464i
\(536\) −179339. 785736.i −0.0269627 0.118131i
\(537\) 3.20709e6 4.02156e6i 0.479927 0.601809i
\(538\) 4.86927e6 6.10588e6i 0.725285 0.909478i
\(539\) −100375. 439769.i −0.0148817 0.0652008i
\(540\) −468839. + 2.05412e6i −0.0691893 + 0.303138i
\(541\) −1.39498e6 + 1.74925e6i −0.204915 + 0.256956i −0.873661 0.486536i \(-0.838260\pi\)
0.668745 + 0.743492i \(0.266832\pi\)
\(542\) 1.70306e6 + 820152.i 0.249019 + 0.119921i
\(543\) 2.90812e6 + 1.40048e6i 0.423265 + 0.203834i
\(544\) −91917.3 + 402716.i −0.0133168 + 0.0583447i
\(545\) −1.47836e6 1.85381e6i −0.213201 0.267346i
\(546\) −8.05475e6 + 3.87896e6i −1.15630 + 0.556845i
\(547\) 5.81508e6 + 7.29188e6i 0.830974 + 1.04201i 0.998424 + 0.0561283i \(0.0178756\pi\)
−0.167449 + 0.985881i \(0.553553\pi\)
\(548\) −247382. 1.08385e6i −0.0351898 0.154177i
\(549\) −50890.8 24507.7i −0.00720624 0.00347034i
\(550\) 217065. + 951025.i 0.0305973 + 0.134056i
\(551\) −6.88429e6 + 3.31530e6i −0.966007 + 0.465204i
\(552\) −2.83224e6 −0.395624
\(553\) −8.57196e6 −1.19198
\(554\) −1.17112e7 + 5.63983e6i −1.62117 + 0.780713i
\(555\) 666103. 2.91839e6i 0.0917928 0.402171i
\(556\) 324307. 406668.i 0.0444907 0.0557895i
\(557\) 3.25674e6 + 4.08382e6i 0.444780 + 0.557736i 0.952796 0.303611i \(-0.0981925\pi\)
−0.508016 + 0.861347i \(0.669621\pi\)
\(558\) −44092.2 −0.00599482
\(559\) −3.75127e6 + 5.31295e6i −0.507749 + 0.719128i
\(560\) 6.30319e6 0.849357
\(561\) 46819.4 + 58709.7i 0.00628086 + 0.00787595i
\(562\) 3.34111e6 4.18962e6i 0.446221 0.559544i
\(563\) 1.30395e6 5.71300e6i 0.173377 0.759614i −0.811215 0.584748i \(-0.801193\pi\)
0.984592 0.174866i \(-0.0559494\pi\)
\(564\) −4.23560e6 + 2.03976e6i −0.560683 + 0.270011i
\(565\) −6.05960e6 −0.798588
\(566\) −3.94944e6 −0.518197
\(567\) −8.04333e6 + 3.87346e6i −1.05070 + 0.505990i
\(568\) 994623. + 4.35773e6i 0.129356 + 0.566747i
\(569\) −2.31521e6 1.11494e6i −0.299784 0.144369i 0.277945 0.960597i \(-0.410347\pi\)
−0.577729 + 0.816228i \(0.696061\pi\)
\(570\) 960560. + 4.20849e6i 0.123833 + 0.542549i
\(571\) 729588. + 914875.i 0.0936456 + 0.117428i 0.826447 0.563015i \(-0.190359\pi\)
−0.732801 + 0.680443i \(0.761787\pi\)
\(572\) −551765. + 265716.i −0.0705121 + 0.0339568i
\(573\) −4.70671e6 5.90203e6i −0.598868 0.750957i
\(574\) 861530. 3.77461e6i 0.109142 0.478181i
\(575\) −3.33048e6 1.60387e6i −0.420084 0.202302i
\(576\) 4485.61 + 2160.15i 0.000563333 + 0.000271287i
\(577\) 519474. 651400.i 0.0649568 0.0814532i −0.748292 0.663370i \(-0.769126\pi\)
0.813248 + 0.581917i \(0.197697\pi\)
\(578\) 2.20782e6 9.67310e6i 0.274881 1.20433i
\(579\) 2.07159e6 + 9.07623e6i 0.256807 + 1.12515i
\(580\) 2.12060e6 2.65914e6i 0.261751 0.328225i
\(581\) −1.11714e7 + 1.40085e7i −1.37300 + 1.72168i
\(582\) −2.14590e6 9.40182e6i −0.262605 1.15055i
\(583\) −239862. + 1.05090e6i −0.0292274 + 0.128054i
\(584\) 2.32598e6 2.91669e6i 0.282211 0.353881i
\(585\) 59089.9 + 28456.2i 0.00713877 + 0.00343785i
\(586\) −8.05172e6 3.87750e6i −0.968601 0.466453i
\(587\) 1.42334e6 6.23604e6i 0.170495 0.746988i −0.815300 0.579038i \(-0.803428\pi\)
0.985796 0.167950i \(-0.0537146\pi\)
\(588\) −1.12728e6 1.41357e6i −0.134459 0.168606i
\(589\) −1.84319e6 + 887633.i −0.218918 + 0.105425i
\(590\) 4.47632e6 + 5.61313e6i 0.529409 + 0.663858i
\(591\) 1.52707e6 + 6.69054e6i 0.179842 + 0.787939i
\(592\) 6.94823e6 + 3.34609e6i 0.814835 + 0.392404i
\(593\) −1.24010e6 5.43325e6i −0.144818 0.634487i −0.994277 0.106833i \(-0.965929\pi\)
0.849459 0.527654i \(-0.176928\pi\)
\(594\) −1.60109e6 + 771047.i −0.186188 + 0.0896632i
\(595\) 360647. 0.0417628
\(596\) −2.78564e6 −0.321225
\(597\) −1.16206e7 + 5.59618e6i −1.33442 + 0.642622i
\(598\) 1.47709e6 6.47153e6i 0.168909 0.740038i
\(599\) −2.49652e6 + 3.13053e6i −0.284294 + 0.356493i −0.903388 0.428823i \(-0.858928\pi\)
0.619094 + 0.785317i \(0.287500\pi\)
\(600\) −2.09728e6 2.62991e6i −0.237837 0.298238i
\(601\) −4.27870e6 −0.483198 −0.241599 0.970376i \(-0.577672\pi\)
−0.241599 + 0.970376i \(0.577672\pi\)
\(602\) −1.20830e7 4.97221e6i −1.35889 0.559188i
\(603\) 29583.3 0.00331324
\(604\) −4.70721e6 5.90265e6i −0.525014 0.658347i
\(605\) −3.13403e6 + 3.92995e6i −0.348108 + 0.436514i
\(606\) 4.10671e6 1.79927e7i 0.454268 1.99028i
\(607\) −2.03756e6 + 981239.i −0.224460 + 0.108094i −0.542735 0.839904i \(-0.682611\pi\)
0.318274 + 0.947999i \(0.396897\pi\)
\(608\) −7.00203e6 −0.768184
\(609\) 1.46409e7 1.59965
\(610\) 3.00629e6 1.44775e6i 0.327119 0.157532i
\(611\) 2.10930e6 + 9.24144e6i 0.228578 + 1.00147i
\(612\) −4319.83 2080.32i −0.000466217 0.000224518i
\(613\) −1.20973e6 5.30017e6i −0.130028 0.569690i −0.997402 0.0720335i \(-0.977051\pi\)
0.867374 0.497657i \(-0.165806\pi\)
\(614\) −5.59141e6 7.01141e6i −0.598550 0.750558i
\(615\) 1.60643e6 773615.i 0.171267 0.0824778i
\(616\) 659947. + 827547.i 0.0700740 + 0.0878701i
\(617\) −1.05154e6 + 4.60709e6i −0.111202 + 0.487207i 0.888402 + 0.459066i \(0.151816\pi\)
−0.999604 + 0.0281409i \(0.991041\pi\)
\(618\) 5.79659e6 + 2.79149e6i 0.610522 + 0.294012i
\(619\) −4.48655e6 2.16061e6i −0.470637 0.226647i 0.183505 0.983019i \(-0.441256\pi\)
−0.654142 + 0.756372i \(0.726970\pi\)
\(620\) 567765. 711955.i 0.0593184 0.0743829i
\(621\) 1.49849e6 6.56533e6i 0.155929 0.683168i
\(622\) 411676. + 1.80367e6i 0.0426657 + 0.186931i
\(623\) 8.34059e6 1.04588e7i 0.860947 1.07959i
\(624\) 6.61328e6 8.29280e6i 0.679917 0.852589i
\(625\) −260904. 1.14310e6i −0.0267166 0.117053i
\(626\) −4.20936e6 + 1.84424e7i −0.429319 + 1.88097i
\(627\) −793640. + 995194.i −0.0806222 + 0.101097i
\(628\) −2.54275e6 1.22452e6i −0.257279 0.123899i
\(629\) 397553. + 191452.i 0.0400653 + 0.0192945i
\(630\) −29319.2 + 128456.i −0.00294307 + 0.0128944i
\(631\) −8.27192e6 1.03727e7i −0.827053 1.03709i −0.998651 0.0519243i \(-0.983465\pi\)
0.171598 0.985167i \(-0.445107\pi\)
\(632\) 5.21812e6 2.51291e6i 0.519662 0.250256i
\(633\) 1.15642e7 + 1.45010e7i 1.14711 + 1.43843i
\(634\) 4.20270e6 + 1.84132e7i 0.415246 + 1.81931i
\(635\) 7.88371e6 + 3.79659e6i 0.775883 + 0.373645i
\(636\) 961418. + 4.21225e6i 0.0942475 + 0.412925i
\(637\) −3.28454e6 + 1.58175e6i −0.320720 + 0.154451i
\(638\) 2.86869e6 0.279017
\(639\) −164070. −0.0158956
\(640\) −5.48894e6 + 2.64333e6i −0.529710 + 0.255095i
\(641\) 2.22437e6 9.74558e6i 0.213826 0.936834i −0.748113 0.663571i \(-0.769040\pi\)
0.961939 0.273263i \(-0.0881029\pi\)
\(642\) 9.84004e6 1.23390e7i 0.942235 1.18153i
\(643\) 9.04564e6 + 1.13429e7i 0.862803 + 1.08192i 0.995868 + 0.0908139i \(0.0289469\pi\)
−0.133064 + 0.991107i \(0.542482\pi\)
\(644\) 4.66228e6 0.442980
\(645\) −1.67917e6 5.77819e6i −0.158926 0.546881i
\(646\) −636310. −0.0599912
\(647\) 1.06835e7 + 1.33966e7i 1.00335 + 1.25816i 0.965916 + 0.258857i \(0.0833459\pi\)
0.0374306 + 0.999299i \(0.488083\pi\)
\(648\) 3.76079e6 4.71589e6i 0.351837 0.441190i
\(649\) −471090. + 2.06398e6i −0.0439028 + 0.192351i
\(650\) 7.10300e6 3.42062e6i 0.659414 0.317557i
\(651\) 3.91993e6 0.362515
\(652\) 6.03458e6 0.555940
\(653\) −1.28316e7 + 6.17938e6i −1.17760 + 0.567103i −0.917212 0.398400i \(-0.869566\pi\)
−0.260390 + 0.965503i \(0.583851\pi\)
\(654\) −1.78373e6 7.81501e6i −0.163074 0.714472i
\(655\) −2.48392e6 1.19619e6i −0.226221 0.108942i
\(656\) 1.02215e6 + 4.47835e6i 0.0927378 + 0.406311i
\(657\) 85378.4 + 107061.i 0.00771676 + 0.00967651i
\(658\) −1.71575e7 + 8.26263e6i −1.54486 + 0.743967i
\(659\) −4.77485e6 5.98747e6i −0.428298 0.537069i 0.520119 0.854094i \(-0.325888\pi\)
−0.948417 + 0.317025i \(0.897316\pi\)
\(660\) 126079. 552390.i 0.0112664 0.0493612i
\(661\) 1.80113e7 + 8.67379e6i 1.60340 + 0.772157i 0.999686 0.0250450i \(-0.00797291\pi\)
0.603713 + 0.797202i \(0.293687\pi\)
\(662\) 2.44143e7 + 1.17573e7i 2.16521 + 1.04271i
\(663\) 378389. 474485.i 0.0334314 0.0419217i
\(664\) 2.69386e6 1.18026e7i 0.237113 1.03886i
\(665\) 1.36035e6 + 5.96008e6i 0.119288 + 0.522634i
\(666\) −100511. + 126037.i −0.00878069 + 0.0110106i
\(667\) −6.77781e6 + 8.49910e6i −0.589895 + 0.739705i
\(668\) −1.75725e6 7.69903e6i −0.152368 0.667567i
\(669\) −2.73457e6 + 1.19810e7i −0.236224 + 1.03497i
\(670\) −1.08960e6 + 1.36631e6i −0.0937734 + 0.117588i
\(671\) 886485. + 426909.i 0.0760090 + 0.0366040i
\(672\) 1.20879e7 + 5.82124e6i 1.03259 + 0.497270i
\(673\) 1.80414e6 7.90444e6i 0.153544 0.672719i −0.838295 0.545217i \(-0.816447\pi\)
0.991838 0.127501i \(-0.0406957\pi\)
\(674\) −1.06431e7 1.33460e7i −0.902440 1.13162i
\(675\) 7.20595e6 3.47020e6i 0.608740 0.293154i
\(676\) −896148. 1.12373e6i −0.0754246 0.0945794i
\(677\) −181120. 793540.i −0.0151878 0.0665422i 0.966766 0.255662i \(-0.0822936\pi\)
−0.981954 + 0.189120i \(0.939436\pi\)
\(678\) −1.84569e7 8.88837e6i −1.54200 0.742588i
\(679\) −3.03904e6 1.33149e7i −0.252966 1.10832i
\(680\) −219541. + 105725.i −0.0182072 + 0.00876813i
\(681\) 6.55839e6 0.541913
\(682\) 768058. 0.0632314
\(683\) 1.05087e7 5.06072e6i 0.861979 0.415107i 0.0499692 0.998751i \(-0.484088\pi\)
0.812010 + 0.583643i \(0.198373\pi\)
\(684\) 18085.3 79236.8i 0.00147804 0.00647570i
\(685\) 1.29306e6 1.62144e6i 0.105291 0.132031i
\(686\) 6.72622e6 + 8.43441e6i 0.545708 + 0.684297i
\(687\) −1.64161e7 −1.32702
\(688\) 1.54757e7 905048.i 1.24646 0.0728955i
\(689\) 8.71171e6 0.699126
\(690\) 3.82907e6 + 4.80150e6i 0.306176 + 0.383932i
\(691\) −8.86447e6 + 1.11157e7i −0.706248 + 0.885607i −0.997473 0.0710473i \(-0.977366\pi\)
0.291225 + 0.956655i \(0.405937\pi\)
\(692\) 837006. 3.66716e6i 0.0664452 0.291115i
\(693\) −35005.1 + 16857.6i −0.00276885 + 0.00133341i
\(694\) −2.91791e7 −2.29971
\(695\) 970326. 0.0762001
\(696\) −8.91253e6 + 4.29205e6i −0.697394 + 0.335847i
\(697\) 58484.1 + 256235.i 0.00455990 + 0.0199782i
\(698\) −1.51539e7 7.29773e6i −1.17730 0.566956i
\(699\) 411533. + 1.80304e6i 0.0318575 + 0.139577i
\(700\) 3.45243e6 + 4.32922e6i 0.266306 + 0.333937i
\(701\) −5.53263e6 + 2.66438e6i −0.425243 + 0.204786i −0.634250 0.773128i \(-0.718691\pi\)
0.209007 + 0.977914i \(0.432977\pi\)
\(702\) 8.95466e6 + 1.12288e7i 0.685814 + 0.859983i
\(703\) −1.66439e6 + 7.29215e6i −0.127018 + 0.556503i
\(704\) −78136.4 37628.5i −0.00594185 0.00286144i
\(705\) −7.90144e6 3.80513e6i −0.598733 0.288335i
\(706\) 1.26083e7 1.58103e7i 0.952014 1.19379i
\(707\) 5.81594e6 2.54813e7i 0.437594 1.91722i
\(708\) 1.88823e6 + 8.27287e6i 0.141570 + 0.620259i
\(709\) −1.14138e7 + 1.43125e7i −0.852736 + 1.06930i 0.144080 + 0.989566i \(0.453978\pi\)
−0.996816 + 0.0797312i \(0.974594\pi\)
\(710\) 6.04297e6 7.57765e6i 0.449888 0.564142i
\(711\) 47306.1 + 207262.i 0.00350949 + 0.0153761i
\(712\) −2.01123e6 + 8.81178e6i −0.148683 + 0.651424i
\(713\) −1.81468e6 + 2.27554e6i −0.133683 + 0.167633i
\(714\) 1.09849e6 + 529006.i 0.0806402 + 0.0388343i
\(715\) −1.02931e6 495688.i −0.0752974 0.0362613i
\(716\) 1.27305e6 5.57758e6i 0.0928030 0.406596i
\(717\) 1.74256e6 + 2.18510e6i 0.126587 + 0.158736i
\(718\) 3.39663e6 1.63573e6i 0.245888 0.118413i
\(719\) 1.17843e6 + 1.47770e6i 0.0850122 + 0.106602i 0.822519 0.568738i \(-0.192568\pi\)
−0.737506 + 0.675340i \(0.763997\pi\)
\(720\) −34785.5 152405.i −0.00250073 0.0109564i
\(721\) 8.20916e6 + 3.95332e6i 0.588112 + 0.283220i
\(722\) 1.46466e6 + 6.41709e6i 0.104567 + 0.458137i
\(723\) −2.39621e7 + 1.15396e7i −1.70483 + 0.821001i
\(724\) 3.59000e6 0.254536
\(725\) −1.29109e7 −0.912247
\(726\) −1.53105e7 + 7.37313e6i −1.07807 + 0.519171i
\(727\) 4.15051e6 1.81846e7i 0.291250 1.27605i −0.591538 0.806277i \(-0.701479\pi\)
0.882788 0.469772i \(-0.155664\pi\)
\(728\) 5.33361e6 6.68814e6i 0.372986 0.467710i
\(729\) 9.08224e6 + 1.13888e7i 0.632957 + 0.793703i
\(730\) −8.08928e6 −0.561827
\(731\) 885464. 51783.7i 0.0612883 0.00358426i
\(732\) 3.94378e6 0.272041
\(733\) −7.55992e6 9.47984e6i −0.519706 0.651690i 0.450841 0.892604i \(-0.351124\pi\)
−0.970546 + 0.240914i \(0.922553\pi\)
\(734\) −1.02996e7 + 1.29153e7i −0.705634 + 0.884837i
\(735\) 750525. 3.28827e6i 0.0512445 0.224517i
\(736\) −8.97521e6 + 4.32223e6i −0.610731 + 0.294112i
\(737\) −515322. −0.0349470
\(738\) −96021.0 −0.00648971
\(739\) 5.59947e6 2.69656e6i 0.377169 0.181635i −0.235688 0.971829i \(-0.575734\pi\)
0.612857 + 0.790194i \(0.290020\pi\)
\(740\) −740855. 3.24590e6i −0.0497341 0.217899i
\(741\) 9.26865e6 + 4.46355e6i 0.620113 + 0.298631i
\(742\) 3.89450e6 + 1.70629e7i 0.259682 + 1.13774i
\(743\) −2.10927e6 2.64494e6i −0.140171 0.175769i 0.706791 0.707423i \(-0.250142\pi\)
−0.846962 + 0.531653i \(0.821571\pi\)
\(744\) −2.38623e6 + 1.14915e6i −0.158045 + 0.0761103i
\(745\) −3.24000e6 4.06283e6i −0.213872 0.268187i
\(746\) −3.66250e6 + 1.60465e7i −0.240952 + 1.05568i
\(747\) 400365. + 192806.i 0.0262515 + 0.0126421i
\(748\) 75248.6 + 36237.8i 0.00491750 + 0.00236814i
\(749\) 1.39355e7 1.74746e7i 0.907649 1.13816i
\(750\) −4.04372e6 + 1.77167e7i −0.262499 + 1.15008i
\(751\) −576145. 2.52426e6i −0.0372762 0.163318i 0.952864 0.303398i \(-0.0981211\pi\)
−0.990140 + 0.140080i \(0.955264\pi\)
\(752\) 1.40870e7 1.76646e7i 0.908396 1.13909i
\(753\) 1.56195e7 1.95862e7i 1.00387 1.25882i
\(754\) −5.15901e6 2.26031e7i −0.330475 1.44790i
\(755\) 3.13398e6 1.37309e7i 0.200092 0.876658i
\(756\) −6.28945e6 + 7.88673e6i −0.400229 + 0.501871i
\(757\) −2.07220e7 9.97920e6i −1.31429 0.632931i −0.360323 0.932828i \(-0.617333\pi\)
−0.953972 + 0.299897i \(0.903048\pi\)
\(758\) 1.94227e7 + 9.35348e6i 1.22782 + 0.591289i
\(759\) −402973. + 1.76554e6i −0.0253905 + 0.111243i
\(760\) −2.57533e6 3.22936e6i −0.161733 0.202807i
\(761\) −1.42046e6 + 684059.i −0.0889137 + 0.0428186i −0.477812 0.878462i \(-0.658570\pi\)
0.388898 + 0.921281i \(0.372856\pi\)
\(762\) 1.84440e7 + 2.31281e7i 1.15072 + 1.44295i
\(763\) −2.52612e6 1.10677e7i −0.157088 0.688247i
\(764\) −7.56468e6 3.64296e6i −0.468875 0.225798i
\(765\) −1990.30 8720.08i −0.000122960 0.000538725i
\(766\) −7.68933e6 + 3.70299e6i −0.473496 + 0.228024i
\(767\) 1.71098e7 1.05016
\(768\) −1.99494e7 −1.22047
\(769\) 1.56664e7 7.54455e6i 0.955331 0.460063i 0.109779 0.993956i \(-0.464986\pi\)
0.845552 + 0.533893i \(0.179271\pi\)
\(770\) 510721. 2.23762e6i 0.0310425 0.136006i
\(771\) −1.36305e7 + 1.70921e7i −0.825802 + 1.03552i
\(772\) 6.45586e6 + 8.09540e6i 0.389862 + 0.488872i
\(773\) −4.75557e6 −0.286255 −0.143128 0.989704i \(-0.545716\pi\)
−0.143128 + 0.989704i \(0.545716\pi\)
\(774\) −53540.5 + 319596.i −0.00321240 + 0.0191756i
\(775\) −3.45675e6 −0.206735
\(776\) 5.75332e6 + 7.21444e6i 0.342977 + 0.430079i
\(777\) 8.93574e6 1.12051e7i 0.530980 0.665828i
\(778\) 8.35678e6 3.66134e7i 0.494983 2.16866i
\(779\) −4.01397e6 + 1.93303e6i −0.236990 + 0.114128i
\(780\) −4.57916e6 −0.269494
\(781\) 2.85800e6 0.167662
\(782\) −815623. + 392783.i −0.0476950 + 0.0229687i
\(783\) −5.23378e6 2.29307e7i −0.305078 1.33664i
\(784\) 7.82885e6 + 3.77018e6i 0.454892 + 0.219064i
\(785\) −1.17154e6 5.13283e6i −0.0678549 0.297292i
\(786\) −5.81115e6 7.28695e6i −0.335510 0.420716i
\(787\) −8.50926e6 + 4.09784e6i −0.489728 + 0.235841i −0.662416 0.749136i \(-0.730469\pi\)
0.172688 + 0.984977i \(0.444755\pi\)
\(788\) 4.75894e6 + 5.96752e6i 0.273020 + 0.342357i
\(789\) −7.02695e6 + 3.07871e7i −0.401860 + 1.76066i
\(790\) −1.13148e7 5.44893e6i −0.645030 0.310630i
\(791\) −2.61387e7 1.25878e7i −1.48540 0.715331i
\(792\) 16367.2 20523.9i 0.000927176 0.00116264i
\(793\) 1.76948e6 7.75258e6i 0.0999222 0.437788i
\(794\) −7.40737e6 3.24538e7i −0.416978 1.82690i
\(795\) −5.02530e6 + 6.30153e6i −0.281997 + 0.353613i
\(796\) −8.94416e6 + 1.12156e7i −0.500331 + 0.627395i
\(797\) −4.91130e6 2.15178e7i −0.273874 1.19992i −0.905398 0.424563i \(-0.860428\pi\)
0.631525 0.775356i \(-0.282429\pi\)
\(798\) −4.59892e6 + 2.01492e7i −0.255652 + 1.12008i
\(799\) 806012. 1.01071e6i 0.0446657 0.0560090i
\(800\) −1.06596e7 5.13340e6i −0.588866 0.283583i
\(801\) −298912. 143948.i −0.0164612 0.00792731i
\(802\) 1.50183e6 6.57994e6i 0.0824488 0.361232i
\(803\) −1.48724e6 1.86494e6i −0.0813938 0.102065i
\(804\) −1.86097e6 + 896195.i −0.101531 + 0.0488947i
\(805\) 5.42275e6 + 6.79991e6i 0.294937 + 0.369840i
\(806\) −1.38127e6 6.05172e6i −0.0748927 0.328126i
\(807\) 1.55141e7 + 7.47121e6i 0.838578 + 0.403838i
\(808\) 3.92956e6 + 1.72165e7i 0.211746 + 0.927720i
\(809\) 232545. 111988.i 0.0124921 0.00601588i −0.427627 0.903955i \(-0.640650\pi\)
0.440119 + 0.897939i \(0.354936\pi\)
\(810\) −1.30793e7 −0.700440
\(811\) −6.26378e6 −0.334414 −0.167207 0.985922i \(-0.553475\pi\)
−0.167207 + 0.985922i \(0.553475\pi\)
\(812\) 1.46713e7 7.06534e6i 0.780871 0.376048i
\(813\) −927416. + 4.06327e6i −0.0492094 + 0.215600i
\(814\) 1.75084e6 2.19548e6i 0.0926159 0.116137i
\(815\) 7.01887e6 + 8.80139e6i 0.370146 + 0.464149i
\(816\) −1.44655e6 −0.0760514
\(817\) 4.19573e6 + 1.44379e7i 0.219914 + 0.756746i
\(818\) 4.02612e7 2.10380
\(819\) 195778. + 245498.i 0.0101989 + 0.0127890i
\(820\) 1.23644e6 1.55045e6i 0.0642152 0.0805234i
\(821\) −6.28702e6 + 2.75452e7i −0.325527 + 1.42623i 0.502032 + 0.864849i \(0.332586\pi\)
−0.827559 + 0.561378i \(0.810271\pi\)
\(822\) 6.31690e6 3.04206e6i 0.326080 0.157032i
\(823\) 2.47291e7 1.27265 0.636325 0.771421i \(-0.280454\pi\)
0.636325 + 0.771421i \(0.280454\pi\)
\(824\) −6.15620e6 −0.315860
\(825\) −1.93781e6 + 933202.i −0.0991236 + 0.0477354i
\(826\) 7.64882e6 + 3.35117e7i 0.390071 + 1.70901i
\(827\) −6.04988e6 2.91347e6i −0.307598 0.148131i 0.273717 0.961810i \(-0.411747\pi\)
−0.581314 + 0.813679i \(0.697461\pi\)
\(828\) −25729.8 112730.i −0.00130425 0.00571428i
\(829\) 8.99183e6 + 1.12754e7i 0.454425 + 0.569830i 0.955281 0.295700i \(-0.0955529\pi\)
−0.500856 + 0.865530i \(0.666981\pi\)
\(830\) −2.36509e7 + 1.13897e7i −1.19166 + 0.573873i
\(831\) −1.78692e7 2.24072e7i −0.897640 1.12560i
\(832\) −155965. + 683327.i −0.00781121 + 0.0342232i
\(833\) 447940. + 215716.i 0.0223670 + 0.0107714i
\(834\) 2.95551e6 + 1.42330e6i 0.147136 + 0.0708568i
\(835\) 9.18511e6 1.15178e7i 0.455898 0.571678i
\(836\) −315034. + 1.38025e6i −0.0155898 + 0.0683036i
\(837\) −1.40128e6 6.13943e6i −0.0691374 0.302911i
\(838\) −1.29367e7 + 1.62221e7i −0.636373 + 0.797987i
\(839\) −2.98074e6 + 3.73772e6i −0.146190 + 0.183317i −0.849535 0.527532i \(-0.823118\pi\)
0.703345 + 0.710849i \(0.251689\pi\)
\(840\) 1.76113e6 + 7.71603e6i 0.0861180 + 0.377308i
\(841\) −3.88457e6 + 1.70194e7i −0.189388 + 0.829764i
\(842\) −5.49612e6 + 6.89192e6i −0.267163 + 0.335012i
\(843\) 1.06452e7 + 5.12646e6i 0.515923 + 0.248455i
\(844\) 1.85861e7 + 8.95058e6i 0.898114 + 0.432509i
\(845\) 596640. 2.61405e6i 0.0287456 0.125942i
\(846\) 294470. + 369253.i 0.0141454 + 0.0177378i
\(847\) −2.16827e7 + 1.04419e7i −1.03850 + 0.500114i
\(848\) −1.29466e7 1.62345e7i −0.618253 0.775265i
\(849\) −1.93771e6 8.48967e6i −0.0922614 0.404223i
\(850\) −968694. 466499.i −0.0459875 0.0221464i
\(851\) 2.36791e6 + 1.03745e7i 0.112083 + 0.491069i
\(852\) 1.03210e7 4.97034e6i 0.487106 0.234578i
\(853\) 1.53771e7 0.723607 0.361804 0.932254i \(-0.382161\pi\)
0.361804 + 0.932254i \(0.382161\pi\)
\(854\) 1.59754e7 0.749561
\(855\) 136602. 65783.8i 0.00639058 0.00307754i
\(856\) −3.36038e6 + 1.47228e7i −0.156749 + 0.686761i
\(857\) 2.37230e7 2.97477e7i 1.10336 1.38357i 0.187410 0.982282i \(-0.439991\pi\)
0.915951 0.401289i \(-0.131438\pi\)
\(858\) −2.40807e6 3.01963e6i −0.111674 0.140035i
\(859\) 3.42037e7 1.58158 0.790789 0.612089i \(-0.209670\pi\)
0.790789 + 0.612089i \(0.209670\pi\)
\(860\) −4.47108e6 4.97988e6i −0.206142 0.229600i
\(861\) 8.53655e6 0.392441
\(862\) −7.12002e6 8.92823e6i −0.326372 0.409258i
\(863\) −2.04286e7 + 2.56166e7i −0.933708 + 1.17083i 0.0513619 + 0.998680i \(0.483644\pi\)
−0.985070 + 0.172153i \(0.944928\pi\)
\(864\) 4.79612e6 2.10132e7i 0.218578 0.957652i
\(865\) 6.32206e6 3.04454e6i 0.287289 0.138351i
\(866\) −3.06604e7 −1.38926
\(867\) 2.18764e7 0.988390
\(868\) 3.92808e6 1.89166e6i 0.176962 0.0852206i
\(869\) −824042. 3.61036e6i −0.0370169 0.162182i
\(870\) 1.93257e7 + 9.30676e6i 0.865639 + 0.416870i
\(871\) 926748. + 4.06035e6i 0.0413920 + 0.181350i
\(872\) 4.78229e6 + 5.99681e6i 0.212983 + 0.267072i
\(873\) −305170. + 146962.i −0.0135521 + 0.00652634i
\(874\) −9.56768e6 1.19975e7i −0.423670 0.531266i
\(875\) −5.72673e6 + 2.50905e7i −0.252864 + 1.10787i
\(876\) −8.61413e6 4.14834e6i −0.379272 0.182648i
\(877\) −1.62664e7 7.83347e6i −0.714154 0.343918i 0.0412762 0.999148i \(-0.486858\pi\)
−0.755430 + 0.655230i \(0.772572\pi\)
\(878\) −1.11290e6 + 1.39553e6i −0.0487214 + 0.0610948i
\(879\) 4.38462e6 1.92103e7i 0.191408 0.838614i
\(880\) 605940. + 2.65480e6i 0.0263768 + 0.115565i
\(881\) 1.96448e7 2.46338e7i 0.852724 1.06928i −0.144093 0.989564i \(-0.546027\pi\)
0.996817 0.0797182i \(-0.0254020\pi\)
\(882\) −113250. + 142011.i −0.00490193 + 0.00614683i
\(883\) −3.01880e6 1.32262e7i −0.130297 0.570867i −0.997357 0.0726631i \(-0.976850\pi\)
0.867060 0.498204i \(-0.166007\pi\)
\(884\) 150201. 658073.i 0.00646460 0.0283233i
\(885\) −9.86971e6 + 1.23762e7i −0.423590 + 0.531165i
\(886\) −1.19482e7 5.75397e6i −0.511352 0.246254i
\(887\) −6.31468e6 3.04099e6i −0.269490 0.129779i 0.294259 0.955726i \(-0.404927\pi\)
−0.563749 + 0.825946i \(0.690641\pi\)
\(888\) −2.15475e6 + 9.44056e6i −0.0916988 + 0.401759i
\(889\) 2.61205e7 + 3.27540e7i 1.10848 + 1.38999i
\(890\) 1.76577e7 8.50351e6i 0.747239 0.359851i
\(891\) −2.40466e6 3.01535e6i −0.101475 0.127246i
\(892\) 3.04146e6 + 1.33255e7i 0.127988 + 0.560753i
\(893\) 1.97433e7 + 9.50786e6i 0.828497 + 0.398983i
\(894\) −3.90923e6 1.71275e7i −0.163587 0.716720i
\(895\) 9.61556e6 4.63061e6i 0.401252 0.193233i
\(896\) −2.91682e7 −1.21378
\(897\) 1.46358e7 0.607346
\(898\) 1.73055e7 8.33388e6i 0.716132 0.344871i
\(899\) −2.26205e6 + 9.91069e6i −0.0933476 + 0.408983i
\(900\) 85623.3 107368.i 0.00352359 0.00441844i
\(901\) −740760. 928884.i −0.0303994 0.0381197i
\(902\) 1.67262e6 0.0684513
\(903\) 4.75991e6 2.84131e7i 0.194258 1.15957i
\(904\) 1.96019e7 0.797770
\(905\) 4.17557e6 + 5.23599e6i 0.169470 + 0.212509i
\(906\) 2.96866e7 3.72258e7i 1.20154 1.50669i
\(907\) −972852. + 4.26234e6i −0.0392671 + 0.172040i −0.990759 0.135633i \(-0.956693\pi\)
0.951492 + 0.307673i \(0.0995504\pi\)
\(908\) 6.57203e6 3.16492e6i 0.264536 0.127394i
\(909\) −648209. −0.0260199
\(910\) −1.85492e7 −0.742544
\(911\) −8.73241e6 + 4.20531e6i −0.348609 + 0.167881i −0.599991 0.800007i \(-0.704829\pi\)
0.251382 + 0.967888i \(0.419115\pi\)
\(912\) −5.45634e6 2.39058e7i −0.217227 0.951734i
\(913\) −6.97410e6 3.35855e6i −0.276892 0.133344i
\(914\) 5.32270e6 + 2.33203e7i 0.210749 + 0.923354i
\(915\) 4.58704e6 + 5.75197e6i 0.181126 + 0.227124i
\(916\) −1.64502e7 + 7.92202e6i −0.647789 + 0.311959i
\(917\) −8.22977e6 1.03198e7i −0.323195 0.405273i
\(918\) 435848. 1.90958e6i 0.0170698 0.0747877i
\(919\) 2.95104e7 + 1.42114e7i 1.15262 + 0.555072i 0.909819 0.415004i \(-0.136220\pi\)
0.242800 + 0.970076i \(0.421934\pi\)
\(920\) −5.29449e6 2.54969e6i −0.206231 0.0993157i
\(921\) 1.23283e7 1.54592e7i 0.478911 0.600535i
\(922\) −2.73215e6 + 1.19703e7i −0.105847 + 0.463745i
\(923\) −5.13979e6 2.25189e7i −0.198582 0.870047i
\(924\) 1.69135e6 2.12089e6i 0.0651709 0.0817218i
\(925\) −7.87990e6 + 9.88108e6i −0.302807 + 0.379708i
\(926\) 4.41105e6 + 1.93261e7i 0.169050 + 0.740656i
\(927\) 50283.6 220307.i 0.00192188 0.00842031i
\(928\) −2.16933e7 + 2.72025e7i −0.826903 + 1.03690i
\(929\) 1.95835e7 + 9.43092e6i 0.744477 + 0.358521i 0.767360 0.641217i \(-0.221570\pi\)
−0.0228825 + 0.999738i \(0.507284\pi\)
\(930\) 5.17423e6 + 2.49178e6i 0.196173 + 0.0944717i
\(931\) −1.87533e6 + 8.21637e6i −0.0709095 + 0.310675i
\(932\) 1.28249e6 + 1.60820e6i 0.0483633 + 0.0606456i
\(933\) −3.67516e6 + 1.76987e6i −0.138221 + 0.0665635i
\(934\) −3.18381e7 3.99237e7i −1.19421 1.49749i
\(935\) 34669.8 + 151898.i 0.00129695 + 0.00568229i
\(936\) −191147. 92051.7i −0.00713146 0.00343433i
\(937\) −6.83563e6 2.99489e7i −0.254349 1.11437i −0.927191 0.374589i \(-0.877784\pi\)
0.672842 0.739786i \(-0.265073\pi\)
\(938\) −7.53839e6 + 3.63030e6i −0.279751 + 0.134721i
\(939\) −4.17088e7 −1.54370
\(940\) −9.75413e6 −0.360055
\(941\) −2.22086e7 + 1.06951e7i −0.817611 + 0.393741i −0.795454 0.606014i \(-0.792768\pi\)
−0.0221568 + 0.999755i \(0.507053\pi\)
\(942\) 3.96060e6 1.73525e7i 0.145423 0.637141i
\(943\) −3.95188e6 + 4.95551e6i −0.144719 + 0.181472i
\(944\) −2.54272e7 3.18847e7i −0.928685 1.16453i
\(945\) −1.88181e7 −0.685481
\(946\) 932640. 5.56716e6i 0.0338834 0.202258i
\(947\) −2.41268e7 −0.874228 −0.437114 0.899406i \(-0.643999\pi\)
−0.437114 + 0.899406i \(0.643999\pi\)
\(948\) −9.25462e6 1.16049e7i −0.334455 0.419393i
\(949\) −1.20197e7 + 1.50722e7i −0.433239 + 0.543264i
\(950\) 4.05551e6 1.77683e7i 0.145793 0.638761i
\(951\) −3.75189e7 + 1.80682e7i −1.34524 + 0.647832i
\(952\) −1.16664e6 −0.0417200
\(953\) −1.91424e7 −0.682752 −0.341376 0.939927i \(-0.610893\pi\)
−0.341376 + 0.939927i \(0.610893\pi\)
\(954\) 391073. 188331.i 0.0139119 0.00669962i
\(955\) −3.48532e6 1.52702e7i −0.123661 0.541796i
\(956\) 2.80066e6 + 1.34873e6i 0.0991097 + 0.0477287i
\(957\) 1.40746e6 + 6.16649e6i 0.0496772 + 0.217650i
\(958\) 2.22447e7 + 2.78940e7i 0.783093 + 0.981967i
\(959\) 8.94602e6 4.30818e6i 0.314111 0.151268i
\(960\) −404310. 506989.i −0.0141591 0.0177550i
\(961\) 5.76495e6 2.52579e7i 0.201366 0.882244i
\(962\) −2.04475e7 9.84697e6i −0.712363 0.343056i
\(963\) −499424. 240510.i −0.0173542 0.00835732i
\(964\) −1.84432e7 + 2.31271e7i −0.639212 + 0.801546i
\(965\) −4.29821e6 + 1.88317e7i −0.148583 + 0.650984i
\(966\) 6.54284e6 + 2.86660e7i 0.225592 + 0.988382i
\(967\) −1.53004e7 + 1.91860e7i −0.526181 + 0.659811i −0.971909 0.235358i \(-0.924374\pi\)
0.445727 + 0.895169i \(0.352945\pi\)
\(968\) 1.01381e7 1.27128e7i 0.347752 0.436067i
\(969\) −312193. 1.36781e6i −0.0106810 0.0467967i
\(970\) 4.45240e6 1.95072e7i 0.151937 0.665681i
\(971\) 1.18461e7 1.48545e7i 0.403206 0.505604i −0.538229 0.842798i \(-0.680907\pi\)
0.941435 + 0.337194i \(0.109478\pi\)
\(972\) 447326. + 215421.i 0.0151865 + 0.00731345i
\(973\) 4.18561e6 + 2.01568e6i 0.141735 + 0.0682559i
\(974\) −897887. + 3.93390e6i −0.0303267 + 0.132870i
\(975\) 1.08379e7 + 1.35903e7i 0.365117 + 0.457843i
\(976\) −1.70768e7 + 8.22377e6i −0.573829 + 0.276342i
\(977\) 2.22753e7 + 2.79324e7i 0.746599 + 0.936206i 0.999511 0.0312838i \(-0.00995957\pi\)
−0.252911 + 0.967489i \(0.581388\pi\)
\(978\) 8.46865e6 + 3.71036e7i 0.283118 + 1.24042i
\(979\) 5.20685e6 + 2.50749e6i 0.173628 + 0.0836146i
\(980\) −834752. 3.65729e6i −0.0277647 0.121645i
\(981\) −253664. + 122158.i −0.00841563 + 0.00405275i
\(982\) 2.83761e7 0.939018
\(983\) 2.55188e6 0.0842317 0.0421159 0.999113i \(-0.486590\pi\)
0.0421159 + 0.999113i \(0.486590\pi\)
\(984\) −5.19656e6 + 2.50253e6i −0.171091 + 0.0823933i
\(985\) −3.16842e6 + 1.38818e7i −0.104053 + 0.455884i
\(986\) −1.97138e6 + 2.47203e6i −0.0645769 + 0.0809769i
\(987\) −2.61792e7 3.28277e7i −0.855390 1.07263i
\(988\) 1.14419e7 0.372912
\(989\) 1.42904e7 + 1.59166e7i 0.464572 + 0.517440i
\(990\) −56921.9 −0.00184583
\(991\) −8.17786e6 1.02547e7i −0.264518 0.331695i 0.631780 0.775148i \(-0.282325\pi\)
−0.896298 + 0.443453i \(0.853753\pi\)
\(992\) −5.80812e6 + 7.28315e6i −0.187394 + 0.234985i
\(993\) −1.32950e7 + 5.82492e7i −0.427873 + 1.87463i
\(994\) 4.18083e7 2.01338e7i 1.34213 0.646338i
\(995\) −2.67610e7 −0.856927
\(996\) −3.10262e7 −0.991016
\(997\) −1.21499e7 + 5.85108e6i −0.387110 + 0.186423i −0.617308 0.786721i \(-0.711777\pi\)
0.230198 + 0.973144i \(0.426063\pi\)
\(998\) 1.18950e7 + 5.21152e7i 0.378039 + 1.65630i
\(999\) −2.07438e7 9.98969e6i −0.657620 0.316693i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 43.6.e.a.11.15 yes 108
43.4 even 7 inner 43.6.e.a.4.15 108
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
43.6.e.a.4.15 108 43.4 even 7 inner
43.6.e.a.11.15 yes 108 1.1 even 1 trivial