Properties

Label 43.7.f.a.2.16
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.16
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.16

$q$-expansion

\(f(q)\) \(=\) \(q+(3.53371 + 7.33783i) q^{2} +(-9.42884 + 19.5792i) q^{3} +(-1.45324 + 1.82231i) q^{4} +(197.653 + 45.1129i) q^{5} -176.987 q^{6} +222.322i q^{7} +(489.664 + 111.763i) q^{8} +(160.083 + 200.737i) q^{9} +O(q^{10})\) \(q+(3.53371 + 7.33783i) q^{2} +(-9.42884 + 19.5792i) q^{3} +(-1.45324 + 1.82231i) q^{4} +(197.653 + 45.1129i) q^{5} -176.987 q^{6} +222.322i q^{7} +(489.664 + 111.763i) q^{8} +(160.083 + 200.737i) q^{9} +(367.416 + 1609.76i) q^{10} +(-1447.06 - 1814.56i) q^{11} +(-21.9769 - 45.6355i) q^{12} +(-628.819 + 2755.03i) q^{13} +(-1631.36 + 785.621i) q^{14} +(-2746.91 + 3444.51i) q^{15} +(943.431 + 4133.44i) q^{16} +(-1364.17 - 5976.80i) q^{17} +(-907.289 + 1884.00i) q^{18} +(-3375.98 - 2692.26i) q^{19} +(-369.446 + 294.623i) q^{20} +(-4352.88 - 2096.24i) q^{21} +(8201.41 - 17030.4i) q^{22} +(6836.84 + 8573.12i) q^{23} +(-6805.19 + 8533.44i) q^{24} +(22953.7 + 11053.9i) q^{25} +(-22438.0 + 5121.33i) q^{26} +(-20884.6 + 4766.76i) q^{27} +(-405.138 - 323.087i) q^{28} +(10412.9 + 21622.6i) q^{29} +(-34982.0 - 7984.42i) q^{30} +(20667.9 - 9953.15i) q^{31} +(-1865.12 + 1487.39i) q^{32} +(49171.7 - 11223.1i) q^{33} +(39036.2 - 31130.3i) q^{34} +(-10029.6 + 43942.5i) q^{35} -598.443 q^{36} -59124.7i q^{37} +(7825.57 - 34286.0i) q^{38} +(-48012.3 - 38288.5i) q^{39} +(91741.4 + 44180.3i) q^{40} +(7414.10 - 3570.44i) q^{41} -39348.2i q^{42} +(-70848.5 - 36081.2i) q^{43} +5409.61 q^{44} +(22584.9 + 46898.0i) q^{45} +(-38748.7 + 80462.5i) q^{46} +(112779. - 141421. i) q^{47} +(-89824.9 - 20501.9i) q^{48} +68222.0 q^{49} +207492. i q^{50} +(129883. + 29645.0i) q^{51} +(-4106.69 - 5149.63i) q^{52} +(-39641.9 - 173682. i) q^{53} +(-108778. - 136403. i) q^{54} +(-204155. - 423933. i) q^{55} +(-24847.3 + 108863. i) q^{56} +(84543.8 - 40714.2i) q^{57} +(-121867. + 152816. i) q^{58} +(3262.99 + 14296.1i) q^{59} +(-2285.04 - 10011.4i) q^{60} +(-153173. + 318067. i) q^{61} +(146069. + 116486. i) q^{62} +(-44628.2 + 35589.8i) q^{63} +(226967. + 109301. i) q^{64} +(-248575. + 516172. i) q^{65} +(256112. + 321154. i) q^{66} +(39486.7 - 49514.8i) q^{67} +(12874.0 + 6199.80i) q^{68} +(-232318. + 53025.1i) q^{69} +(-357884. + 81684.6i) q^{70} +(-319056. - 254439. i) q^{71} +(55951.8 + 116185. i) q^{72} +(497392. + 113527. i) q^{73} +(433847. - 208930. i) q^{74} +(-432854. + 345189. i) q^{75} +(9812.23 - 2239.58i) q^{76} +(403416. - 321713. i) q^{77} +(111293. - 487607. i) q^{78} -244311. q^{79} +859546. i q^{80} +(61938.0 - 271368. i) q^{81} +(52398.6 + 41786.5i) q^{82} +(553377. + 266492. i) q^{83} +(10145.8 - 4885.94i) q^{84} -1.24287e6i q^{85} +(14399.9 - 647375. i) q^{86} -521535. q^{87} +(-505774. - 1.05025e6i) q^{88} +(-225499. + 468254. i) q^{89} +(-264321. + 331448. i) q^{90} +(-612504. - 139800. i) q^{91} -25558.4 q^{92} +498508. i q^{93} +(1.43625e6 + 327815. i) q^{94} +(-545816. - 684432. i) q^{95} +(-11535.9 - 50541.9i) q^{96} +(-51505.3 - 64585.5i) q^{97} +(241077. + 500602. i) q^{98} +(132600. - 580958. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.53371 + 7.33783i 0.441714 + 0.917228i 0.996368 + 0.0851476i \(0.0271362\pi\)
−0.554654 + 0.832081i \(0.687150\pi\)
\(3\) −9.42884 + 19.5792i −0.349216 + 0.725155i −0.999400 0.0346215i \(-0.988977\pi\)
0.650184 + 0.759777i \(0.274692\pi\)
\(4\) −1.45324 + 1.82231i −0.0227069 + 0.0284735i
\(5\) 197.653 + 45.1129i 1.58122 + 0.360903i 0.920813 0.390004i \(-0.127527\pi\)
0.660407 + 0.750908i \(0.270384\pi\)
\(6\) −176.987 −0.819386
\(7\) 222.322i 0.648168i 0.946028 + 0.324084i \(0.105056\pi\)
−0.946028 + 0.324084i \(0.894944\pi\)
\(8\) 489.664 + 111.763i 0.956375 + 0.218286i
\(9\) 160.083 + 200.737i 0.219592 + 0.275360i
\(10\) 367.416 + 1609.76i 0.367416 + 1.60976i
\(11\) −1447.06 1814.56i −1.08720 1.36330i −0.926497 0.376301i \(-0.877196\pi\)
−0.160701 0.987003i \(-0.551376\pi\)
\(12\) −21.9769 45.6355i −0.0127181 0.0264094i
\(13\) −628.819 + 2755.03i −0.286217 + 1.25400i 0.603455 + 0.797397i \(0.293790\pi\)
−0.889672 + 0.456601i \(0.849067\pi\)
\(14\) −1631.36 + 785.621i −0.594518 + 0.286305i
\(15\) −2746.91 + 3444.51i −0.813899 + 1.02060i
\(16\) 943.431 + 4133.44i 0.230330 + 1.00914i
\(17\) −1364.17 5976.80i −0.277665 1.21653i −0.900737 0.434364i \(-0.856973\pi\)
0.623073 0.782164i \(-0.285884\pi\)
\(18\) −907.289 + 1884.00i −0.155571 + 0.323046i
\(19\) −3375.98 2692.26i −0.492198 0.392515i 0.345697 0.938346i \(-0.387642\pi\)
−0.837895 + 0.545832i \(0.816214\pi\)
\(20\) −369.446 + 294.623i −0.0461808 + 0.0368279i
\(21\) −4352.88 2096.24i −0.470023 0.226351i
\(22\) 8201.41 17030.4i 0.770230 1.59940i
\(23\) 6836.84 + 8573.12i 0.561917 + 0.704621i 0.978911 0.204288i \(-0.0654879\pi\)
−0.416994 + 0.908909i \(0.636917\pi\)
\(24\) −6805.19 + 8533.44i −0.492273 + 0.617291i
\(25\) 22953.7 + 11053.9i 1.46904 + 0.707451i
\(26\) −22438.0 + 5121.33i −1.27663 + 0.291382i
\(27\) −20884.6 + 4766.76i −1.06105 + 0.242177i
\(28\) −405.138 323.087i −0.0184556 0.0147179i
\(29\) 10412.9 + 21622.6i 0.426951 + 0.886573i 0.997849 + 0.0655521i \(0.0208808\pi\)
−0.570898 + 0.821021i \(0.693405\pi\)
\(30\) −34982.0 7984.42i −1.29563 0.295719i
\(31\) 20667.9 9953.15i 0.693764 0.334099i −0.0535546 0.998565i \(-0.517055\pi\)
0.747319 + 0.664466i \(0.231341\pi\)
\(32\) −1865.12 + 1487.39i −0.0569191 + 0.0453914i
\(33\) 49171.7 11223.1i 1.36827 0.312300i
\(34\) 39036.2 31130.3i 0.993186 0.792039i
\(35\) −10029.6 + 43942.5i −0.233926 + 1.02490i
\(36\) −598.443 −0.0128267
\(37\) 59124.7i 1.16725i −0.812023 0.583625i \(-0.801634\pi\)
0.812023 0.583625i \(-0.198366\pi\)
\(38\) 7825.57 34286.0i 0.142615 0.624837i
\(39\) −48012.3 38288.5i −0.809392 0.645468i
\(40\) 91741.4 + 44180.3i 1.43346 + 0.690318i
\(41\) 7414.10 3570.44i 0.107574 0.0518048i −0.379323 0.925264i \(-0.623843\pi\)
0.486897 + 0.873459i \(0.338129\pi\)
\(42\) 39348.2i 0.531100i
\(43\) −70848.5 36081.2i −0.891097 0.453812i
\(44\) 5409.61 0.0635050
\(45\) 22584.9 + 46898.0i 0.247845 + 0.514656i
\(46\) −38748.7 + 80462.5i −0.398092 + 0.826647i
\(47\) 112779. 141421.i 1.08627 1.36213i 0.159194 0.987247i \(-0.449110\pi\)
0.927071 0.374886i \(-0.122318\pi\)
\(48\) −89824.9 20501.9i −0.812218 0.185384i
\(49\) 68222.0 0.579878
\(50\) 207492.i 1.65993i
\(51\) 129883. + 29645.0i 0.979136 + 0.223482i
\(52\) −4106.69 5149.63i −0.0292067 0.0366240i
\(53\) −39641.9 173682.i −0.266273 1.16662i −0.914312 0.405010i \(-0.867268\pi\)
0.648039 0.761607i \(-0.275589\pi\)
\(54\) −108778. 136403.i −0.690810 0.866248i
\(55\) −204155. 423933.i −1.22708 2.54806i
\(56\) −24847.3 + 108863.i −0.141486 + 0.619892i
\(57\) 84543.8 40714.2i 0.456517 0.219847i
\(58\) −121867. + 152816.i −0.624600 + 0.783223i
\(59\) 3262.99 + 14296.1i 0.0158876 + 0.0696083i 0.982250 0.187575i \(-0.0600627\pi\)
−0.966363 + 0.257183i \(0.917206\pi\)
\(60\) −2285.04 10011.4i −0.0105789 0.0463491i
\(61\) −153173. + 318067.i −0.674827 + 1.40129i 0.229013 + 0.973423i \(0.426450\pi\)
−0.903840 + 0.427870i \(0.859264\pi\)
\(62\) 146069. + 116486.i 0.612891 + 0.488764i
\(63\) −44628.2 + 35589.8i −0.178479 + 0.142333i
\(64\) 226967. + 109301.i 0.865810 + 0.416952i
\(65\) −248575. + 516172.i −0.905144 + 1.87955i
\(66\) 256112. + 321154.i 0.890836 + 1.11707i
\(67\) 39486.7 49514.8i 0.131288 0.164631i −0.711842 0.702340i \(-0.752139\pi\)
0.843130 + 0.537709i \(0.180710\pi\)
\(68\) 12874.0 + 6199.80i 0.0409437 + 0.0197175i
\(69\) −232318. + 53025.1i −0.707190 + 0.161411i
\(70\) −357884. + 81684.6i −1.04339 + 0.238148i
\(71\) −319056. 254439.i −0.891440 0.710899i 0.0665254 0.997785i \(-0.478809\pi\)
−0.957965 + 0.286885i \(0.907380\pi\)
\(72\) 55951.8 + 116185.i 0.149905 + 0.311281i
\(73\) 497392. + 113527.i 1.27859 + 0.291829i 0.807295 0.590148i \(-0.200930\pi\)
0.471292 + 0.881977i \(0.343788\pi\)
\(74\) 433847. 208930.i 1.07064 0.515591i
\(75\) −432854. + 345189.i −1.02602 + 0.818227i
\(76\) 9812.23 2239.58i 0.0223525 0.00510182i
\(77\) 403416. 321713.i 0.883651 0.704688i
\(78\) 111293. 487607.i 0.234522 1.02751i
\(79\) −244311. −0.495521 −0.247760 0.968821i \(-0.579695\pi\)
−0.247760 + 0.968821i \(0.579695\pi\)
\(80\) 859546.i 1.67880i
\(81\) 61938.0 271368.i 0.116547 0.510627i
\(82\) 52398.6 + 41786.5i 0.0950337 + 0.0757869i
\(83\) 553377. + 266492.i 0.967803 + 0.466069i 0.849893 0.526955i \(-0.176666\pi\)
0.117910 + 0.993024i \(0.462381\pi\)
\(84\) 10145.8 4885.94i 0.0171178 0.00824348i
\(85\) 1.24287e6i 2.02381i
\(86\) 14399.9 647375.i 0.0226393 1.01779i
\(87\) −521535. −0.792001
\(88\) −505774. 1.05025e6i −0.742179 1.54115i
\(89\) −225499. + 468254.i −0.319871 + 0.664219i −0.997461 0.0712215i \(-0.977310\pi\)
0.677590 + 0.735440i \(0.263025\pi\)
\(90\) −264321. + 331448.i −0.362580 + 0.454661i
\(91\) −612504. 139800.i −0.812802 0.185517i
\(92\) −25558.4 −0.0328224
\(93\) 498508.i 0.619759i
\(94\) 1.43625e6 + 327815.i 1.72921 + 0.394680i
\(95\) −545816. 684432.i −0.636613 0.798288i
\(96\) −11535.9 50541.9i −0.0130388 0.0571266i
\(97\) −51505.3 64585.5i −0.0564334 0.0707653i 0.752814 0.658234i \(-0.228696\pi\)
−0.809247 + 0.587468i \(0.800125\pi\)
\(98\) 241077. + 500602.i 0.256140 + 0.531880i
\(99\) 132600. 580958.i 0.136659 0.598741i
\(100\) −53500.9 + 25764.7i −0.0535009 + 0.0257647i
\(101\) 571296. 716383.i 0.554494 0.695314i −0.423035 0.906113i \(-0.639035\pi\)
0.977529 + 0.210799i \(0.0676067\pi\)
\(102\) 241440. + 1.05782e6i 0.227515 + 0.996807i
\(103\) −239716. 1.05026e6i −0.219374 0.961140i −0.957942 0.286961i \(-0.907355\pi\)
0.738568 0.674179i \(-0.235502\pi\)
\(104\) −615820. + 1.27876e6i −0.547462 + 1.13682i
\(105\) −765790. 610697.i −0.661518 0.527543i
\(106\) 1.13437e6 904629.i 0.952438 0.759544i
\(107\) 464194. + 223544.i 0.378921 + 0.182479i 0.613642 0.789584i \(-0.289704\pi\)
−0.234722 + 0.972063i \(0.575418\pi\)
\(108\) 21663.8 44985.3i 0.0171974 0.0357108i
\(109\) −258700. 324399.i −0.199764 0.250496i 0.671852 0.740685i \(-0.265499\pi\)
−0.871616 + 0.490190i \(0.836928\pi\)
\(110\) 2.38932e6 2.99611e6i 1.79513 2.25102i
\(111\) 1.15761e6 + 557478.i 0.846438 + 0.407623i
\(112\) −918954. + 209745.i −0.654093 + 0.149292i
\(113\) 474626. 108330.i 0.328940 0.0750783i −0.0548619 0.998494i \(-0.517472\pi\)
0.383801 + 0.923416i \(0.374615\pi\)
\(114\) 597507. + 476496.i 0.403300 + 0.321621i
\(115\) 964560. + 2.00293e6i 0.634214 + 1.31696i
\(116\) −54535.5 12447.4i −0.0349386 0.00797450i
\(117\) −653701. + 314806.i −0.408151 + 0.196555i
\(118\) −93371.8 + 74461.5i −0.0568289 + 0.0453196i
\(119\) 1.32877e6 303284.i 0.788515 0.179973i
\(120\) −1.73003e6 + 1.37965e6i −1.00118 + 0.798411i
\(121\) −804423. + 3.52441e6i −0.454076 + 1.98944i
\(122\) −2.87519e6 −1.58339
\(123\) 178827.i 0.0960988i
\(124\) −11897.8 + 52127.6i −0.00624024 + 0.0273403i
\(125\) 1.56154e6 + 1.24529e6i 0.799510 + 0.637588i
\(126\) −418855. 201710.i −0.209388 0.100836i
\(127\) 834343. 401799.i 0.407318 0.196154i −0.218994 0.975726i \(-0.570278\pi\)
0.626313 + 0.779572i \(0.284563\pi\)
\(128\) 2.20436e6i 1.05112i
\(129\) 1.37446e6 1.04695e6i 0.640270 0.487705i
\(130\) −4.66597e6 −2.12379
\(131\) −427746. 888224.i −0.190271 0.395101i 0.783909 0.620876i \(-0.213223\pi\)
−0.974180 + 0.225775i \(0.927509\pi\)
\(132\) −51006.3 + 105916.i −0.0221770 + 0.0460509i
\(133\) 598547. 750555.i 0.254416 0.319027i
\(134\) 502866. + 114776.i 0.208996 + 0.0477019i
\(135\) −4.34293e6 −1.76515
\(136\) 3.07909e6i 1.22407i
\(137\) −2.57974e6 588810.i −1.00326 0.228988i −0.310826 0.950467i \(-0.600606\pi\)
−0.692437 + 0.721479i \(0.743463\pi\)
\(138\) −1.21003e6 1.51734e6i −0.460427 0.577357i
\(139\) −498951. 2.18605e6i −0.185786 0.813982i −0.978807 0.204787i \(-0.934350\pi\)
0.793021 0.609195i \(-0.208507\pi\)
\(140\) −65501.2 82135.9i −0.0238707 0.0299329i
\(141\) 1.70553e6 + 3.54156e6i 0.608417 + 1.26339i
\(142\) 739575. 3.24029e6i 0.258296 1.13167i
\(143\) 5.90911e6 2.84568e6i 2.02076 0.973145i
\(144\) −678708. + 851073.i −0.227298 + 0.285023i
\(145\) 1.08268e6 + 4.74352e6i 0.355137 + 1.55596i
\(146\) 924603. + 4.05095e6i 0.297096 + 1.30166i
\(147\) −643255. + 1.33573e6i −0.202503 + 0.420501i
\(148\) 107743. + 85922.5i 0.0332357 + 0.0265046i
\(149\) −4.29259e6 + 3.42322e6i −1.29766 + 1.03485i −0.300961 + 0.953637i \(0.597307\pi\)
−0.996697 + 0.0812108i \(0.974121\pi\)
\(150\) −4.06252e6 1.95641e6i −1.20371 0.579676i
\(151\) −100320. + 208316.i −0.0291377 + 0.0605050i −0.915030 0.403387i \(-0.867833\pi\)
0.885892 + 0.463892i \(0.153547\pi\)
\(152\) −1.35220e6 1.69561e6i −0.385045 0.482831i
\(153\) 981387. 1.23062e6i 0.274010 0.343597i
\(154\) 3.78623e6 + 1.82335e6i 1.03668 + 0.499239i
\(155\) 4.53408e6 1.03488e6i 1.21757 0.277903i
\(156\) 139547. 31850.7i 0.0367575 0.00838966i
\(157\) −4.62112e6 3.68522e6i −1.19412 0.952279i −0.194530 0.980897i \(-0.562318\pi\)
−0.999590 + 0.0286171i \(0.990890\pi\)
\(158\) −863324. 1.79271e6i −0.218878 0.454506i
\(159\) 3.77434e6 + 861468.i 0.938965 + 0.214313i
\(160\) −435747. + 209845.i −0.106383 + 0.0512316i
\(161\) −1.90599e6 + 1.51998e6i −0.456713 + 0.364217i
\(162\) 2.21012e6 504446.i 0.519842 0.118651i
\(163\) −4.64027e6 + 3.70049e6i −1.07147 + 0.854470i −0.989839 0.142193i \(-0.954585\pi\)
−0.0816320 + 0.996663i \(0.526013\pi\)
\(164\) −4268.03 + 18699.5i −0.000967600 + 0.00423933i
\(165\) 1.02252e7 2.27625
\(166\) 5.00229e6i 1.09357i
\(167\) −738393. + 3.23511e6i −0.158540 + 0.694608i 0.831699 + 0.555227i \(0.187369\pi\)
−0.990239 + 0.139382i \(0.955489\pi\)
\(168\) −1.89717e6 1.51294e6i −0.400109 0.319076i
\(169\) −2.84600e6 1.37056e6i −0.589623 0.283947i
\(170\) 9.11998e6 4.39195e6i 1.85629 0.893944i
\(171\) 1.10867e6i 0.221724i
\(172\) 168711. 76672.9i 0.0331557 0.0150680i
\(173\) 6.95999e6 1.34422 0.672110 0.740451i \(-0.265388\pi\)
0.672110 + 0.740451i \(0.265388\pi\)
\(174\) −1.84295e6 3.82693e6i −0.349838 0.726446i
\(175\) −2.45753e6 + 5.10311e6i −0.458547 + 0.952184i
\(176\) 6.13516e6 7.69325e6i 1.12535 1.41115i
\(177\) −310672. 70908.9i −0.0560251 0.0127874i
\(178\) −4.23281e6 −0.750532
\(179\) 415093.i 0.0723747i −0.999345 0.0361873i \(-0.988479\pi\)
0.999345 0.0361873i \(-0.0115213\pi\)
\(180\) −118284. 26997.5i −0.0202818 0.00462920i
\(181\) 1.26669e6 + 1.58837e6i 0.213616 + 0.267866i 0.877082 0.480340i \(-0.159487\pi\)
−0.663466 + 0.748206i \(0.730915\pi\)
\(182\) −1.13858e6 4.98846e6i −0.188865 0.827470i
\(183\) −4.78325e6 5.99801e6i −0.780495 0.978709i
\(184\) 2.38960e6 + 4.96206e6i 0.383594 + 0.796541i
\(185\) 2.66729e6 1.16862e7i 0.421264 1.84568i
\(186\) −3.65796e6 + 1.76158e6i −0.568461 + 0.273756i
\(187\) −8.87122e6 + 1.11242e7i −1.35662 + 1.70115i
\(188\) 93816.5 + 411037.i 0.0141191 + 0.0618596i
\(189\) −1.05976e6 4.64309e6i −0.156971 0.687736i
\(190\) 3.09349e6 6.42369e6i 0.451011 0.936534i
\(191\) 3.61552e6 + 2.88328e6i 0.518884 + 0.413796i 0.847602 0.530632i \(-0.178045\pi\)
−0.328718 + 0.944428i \(0.606617\pi\)
\(192\) −4.28007e6 + 3.41324e6i −0.604710 + 0.482240i
\(193\) −2.07739e6 1.00042e6i −0.288965 0.139158i 0.283786 0.958888i \(-0.408410\pi\)
−0.572751 + 0.819729i \(0.694124\pi\)
\(194\) 291913. 606163.i 0.0399805 0.0830203i
\(195\) −7.76245e6 9.73380e6i −1.04687 1.31274i
\(196\) −99143.0 + 124321.i −0.0131672 + 0.0165112i
\(197\) 3.85112e6 + 1.85460e6i 0.503718 + 0.242578i 0.668445 0.743761i \(-0.266960\pi\)
−0.164727 + 0.986339i \(0.552674\pi\)
\(198\) 4.73154e6 1.07994e6i 0.609546 0.139125i
\(199\) −3.19225e6 + 728610.i −0.405077 + 0.0924562i −0.420205 0.907429i \(-0.638042\pi\)
0.0151276 + 0.999886i \(0.495185\pi\)
\(200\) 1.00042e7 + 7.97808e6i 1.25052 + 0.997260i
\(201\) 597145. + 1.23998e6i 0.0735346 + 0.152696i
\(202\) 7.27549e6 + 1.66058e6i 0.882690 + 0.201468i
\(203\) −4.80718e6 + 2.31502e6i −0.574649 + 0.276736i
\(204\) −242774. + 193606.i −0.0285964 + 0.0228049i
\(205\) 1.62649e6 371235.i 0.188795 0.0430911i
\(206\) 6.85956e6 5.47032e6i 0.784684 0.625765i
\(207\) −626486. + 2.74481e6i −0.0706318 + 0.309458i
\(208\) −1.19810e7 −1.33139
\(209\) 1.00218e7i 1.09776i
\(210\) 1.77511e6 7.77726e6i 0.191676 0.839787i
\(211\) −4.34254e6 3.46306e6i −0.462271 0.368649i 0.364485 0.931209i \(-0.381245\pi\)
−0.826756 + 0.562561i \(0.809816\pi\)
\(212\) 374112. + 180163.i 0.0392639 + 0.0189085i
\(213\) 7.99003e6 3.84780e6i 0.826817 0.398174i
\(214\) 4.19612e6i 0.428160i
\(215\) −1.23757e7 1.03277e7i −1.24524 1.03918i
\(216\) −1.07592e7 −1.06762
\(217\) 2.21280e6 + 4.59493e6i 0.216553 + 0.449676i
\(218\) 1.46621e6 3.04463e6i 0.141523 0.293876i
\(219\) −6.91259e6 + 8.66812e6i −0.658125 + 0.825263i
\(220\) 1.06922e6 + 244043.i 0.100415 + 0.0229191i
\(221\) 1.73241e7 1.60500
\(222\) 1.04643e7i 0.956429i
\(223\) −1.18049e7 2.69440e6i −1.06451 0.242967i −0.345821 0.938301i \(-0.612400\pi\)
−0.718687 + 0.695334i \(0.755257\pi\)
\(224\) −330678. 414658.i −0.0294213 0.0368931i
\(225\) 1.45555e6 + 6.37720e6i 0.127785 + 0.559864i
\(226\) 2.47210e6 + 3.09992e6i 0.214161 + 0.268550i
\(227\) 485890. + 1.00896e6i 0.0415394 + 0.0862574i 0.920706 0.390258i \(-0.127614\pi\)
−0.879166 + 0.476515i \(0.841900\pi\)
\(228\) −48668.8 + 213232.i −0.00410626 + 0.0179907i
\(229\) 108380. 52193.0i 0.00902490 0.00434616i −0.429366 0.903131i \(-0.641263\pi\)
0.438391 + 0.898784i \(0.355549\pi\)
\(230\) −1.12887e7 + 1.41555e7i −0.927811 + 1.16344i
\(231\) 2.49514e6 + 1.09319e7i 0.202423 + 0.886872i
\(232\) 2.68223e6 + 1.17516e7i 0.214799 + 0.941094i
\(233\) −2.11728e6 + 4.39658e6i −0.167383 + 0.347574i −0.967741 0.251949i \(-0.918929\pi\)
0.800358 + 0.599523i \(0.204643\pi\)
\(234\) −4.61998e6 3.68431e6i −0.360572 0.287547i
\(235\) 2.86710e7 2.28644e7i 2.20922 1.76180i
\(236\) −30793.8 14829.5i −0.00234275 0.00112821i
\(237\) 2.30357e6 4.78341e6i 0.173044 0.359329i
\(238\) 6.92094e6 + 8.67859e6i 0.513375 + 0.643752i
\(239\) −1.28719e7 + 1.61409e7i −0.942865 + 1.18231i 0.0402251 + 0.999191i \(0.487192\pi\)
−0.983090 + 0.183124i \(0.941379\pi\)
\(240\) −1.68292e7 8.10452e6i −1.21739 0.586264i
\(241\) 129620. 29585.0i 0.00926023 0.00211359i −0.217888 0.975974i \(-0.569917\pi\)
0.227149 + 0.973860i \(0.427060\pi\)
\(242\) −2.87041e7 + 6.55152e6i −2.02534 + 0.462271i
\(243\) −7.48021e6 5.96527e6i −0.521309 0.415730i
\(244\) −357018. 741356.i −0.0245765 0.0510337i
\(245\) 1.34843e7 + 3.07769e6i 0.916914 + 0.209280i
\(246\) −1.31220e6 + 631924.i −0.0881446 + 0.0424482i
\(247\) 9.54014e6 7.60801e6i 0.633088 0.504871i
\(248\) 1.12327e7 2.56380e6i 0.736428 0.168085i
\(249\) −1.04354e7 + 8.32196e6i −0.675945 + 0.539048i
\(250\) −3.61967e6 + 1.58588e7i −0.231659 + 1.01497i
\(251\) −1.76027e7 −1.11316 −0.556580 0.830794i \(-0.687887\pi\)
−0.556580 + 0.830794i \(0.687887\pi\)
\(252\) 133047.i 0.00831386i
\(253\) 5.66310e6 2.48117e7i 0.349698 1.53213i
\(254\) 5.89666e6 + 4.70243e6i 0.359836 + 0.286960i
\(255\) 2.43344e7 + 1.17188e7i 1.46758 + 0.706747i
\(256\) −1.64934e6 + 794279.i −0.0983082 + 0.0473427i
\(257\) 1.31114e7i 0.772413i 0.922412 + 0.386207i \(0.126215\pi\)
−0.922412 + 0.386207i \(0.873785\pi\)
\(258\) 1.25393e7 + 6.38593e6i 0.730153 + 0.371848i
\(259\) 1.31447e7 0.756575
\(260\) −579383. 1.20310e6i −0.0329644 0.0684514i
\(261\) −2.67354e6 + 5.55166e6i −0.150371 + 0.312249i
\(262\) 5.00610e6 6.27745e6i 0.278353 0.349044i
\(263\) −2.61719e7 5.97356e6i −1.43869 0.328372i −0.569151 0.822233i \(-0.692728\pi\)
−0.869541 + 0.493861i \(0.835585\pi\)
\(264\) 2.53319e7 1.37675
\(265\) 3.61171e7i 1.94078i
\(266\) 7.62253e6 + 1.73979e6i 0.404999 + 0.0924385i
\(267\) −7.04183e6 8.83017e6i −0.369957 0.463912i
\(268\) 32847.4 + 143914.i 0.00170646 + 0.00747649i
\(269\) −5.59712e6 7.01857e6i −0.287546 0.360572i 0.616988 0.786973i \(-0.288353\pi\)
−0.904534 + 0.426401i \(0.859781\pi\)
\(270\) −1.53467e7 3.18677e7i −0.779691 1.61904i
\(271\) −2.23070e6 + 9.77333e6i −0.112081 + 0.491060i 0.887463 + 0.460879i \(0.152466\pi\)
−0.999544 + 0.0301815i \(0.990391\pi\)
\(272\) 2.34178e7 1.12774e7i 1.16369 0.560405i
\(273\) 8.51237e6 1.06742e7i 0.418372 0.524622i
\(274\) −4.79548e6 2.10104e7i −0.233121 1.02137i
\(275\) −1.31574e7 5.76465e7i −0.632665 2.77188i
\(276\) 240986. 500413.i 0.0114621 0.0238013i
\(277\) −2.57723e7 2.05527e7i −1.21259 0.967006i −0.212639 0.977131i \(-0.568206\pi\)
−0.999949 + 0.0101245i \(0.996777\pi\)
\(278\) 1.42777e7 1.13861e7i 0.664543 0.529955i
\(279\) 5.30654e6 + 2.55550e6i 0.244342 + 0.117669i
\(280\) −9.82225e6 + 2.03961e7i −0.447442 + 0.929123i
\(281\) 2.48926e7 + 3.12144e7i 1.12189 + 1.40681i 0.902241 + 0.431232i \(0.141921\pi\)
0.219652 + 0.975578i \(0.429508\pi\)
\(282\) −1.99605e7 + 2.50297e7i −0.890071 + 1.11611i
\(283\) 4.89126e6 + 2.35551e6i 0.215805 + 0.103926i 0.538663 0.842521i \(-0.318929\pi\)
−0.322858 + 0.946447i \(0.604644\pi\)
\(284\) 927330. 211657.i 0.0404836 0.00924012i
\(285\) 1.85470e7 4.23324e6i 0.801198 0.182868i
\(286\) 4.17622e7 + 3.33042e7i 1.78519 + 1.42364i
\(287\) 793787. + 1.64832e6i 0.0335783 + 0.0697260i
\(288\) −597147. 136295.i −0.0249979 0.00570562i
\(289\) −1.21140e7 + 5.83380e6i −0.501874 + 0.241690i
\(290\) −3.09813e7 + 2.47067e7i −1.27030 + 1.01303i
\(291\) 1.75017e6 399464.i 0.0710233 0.0162106i
\(292\) −929711. + 741420.i −0.0373421 + 0.0297794i
\(293\) 9.14245e6 4.00557e7i 0.363463 1.59243i −0.380873 0.924627i \(-0.624376\pi\)
0.744335 0.667806i \(-0.232766\pi\)
\(294\) −1.20744e7 −0.475144
\(295\) 2.97286e6i 0.115800i
\(296\) 6.60794e6 2.89513e7i 0.254795 1.11633i
\(297\) 3.88708e7 + 3.09984e7i 1.48373 + 1.18323i
\(298\) −4.02878e7 1.94016e7i −1.52238 0.733142i
\(299\) −2.79184e7 + 1.34448e7i −1.04442 + 0.502968i
\(300\) 1.29043e6i 0.0477939i
\(301\) 8.02165e6 1.57512e7i 0.294147 0.577581i
\(302\) −1.88308e6 −0.0683674
\(303\) 8.63953e6 + 1.79402e7i 0.310572 + 0.644909i
\(304\) 7.94328e6 1.64944e7i 0.282735 0.587105i
\(305\) −4.46240e7 + 5.59567e7i −1.57278 + 1.97221i
\(306\) 1.24980e7 + 2.85259e6i 0.436191 + 0.0995578i
\(307\) 1.72756e6 0.0597062 0.0298531 0.999554i \(-0.490496\pi\)
0.0298531 + 0.999554i \(0.490496\pi\)
\(308\) 1.20267e6i 0.0411619i
\(309\) 2.28235e7 + 5.20932e6i 0.773584 + 0.176566i
\(310\) 2.36159e7 + 2.96134e7i 0.792718 + 0.994038i
\(311\) −4.03620e6 1.76837e7i −0.134181 0.587886i −0.996651 0.0817769i \(-0.973941\pi\)
0.862470 0.506109i \(-0.168917\pi\)
\(312\) −1.92307e7 2.41145e7i −0.633185 0.793989i
\(313\) −1.79047e7 3.71794e7i −0.583893 1.21247i −0.958449 0.285262i \(-0.907919\pi\)
0.374556 0.927204i \(-0.377795\pi\)
\(314\) 1.07118e7 4.69315e7i 0.345998 1.51592i
\(315\) −1.04264e7 + 5.02111e6i −0.333583 + 0.160645i
\(316\) 355043. 445209.i 0.0112517 0.0141092i
\(317\) 7.84729e6 + 3.43812e7i 0.246344 + 1.07930i 0.935121 + 0.354330i \(0.115291\pi\)
−0.688777 + 0.724974i \(0.741852\pi\)
\(318\) 7.01612e6 + 3.07396e7i 0.218180 + 0.955910i
\(319\) 2.41674e7 5.01841e7i 0.744488 1.54595i
\(320\) 3.99297e7 + 3.18429e7i 1.21856 + 0.971767i
\(321\) −8.75362e6 + 6.98078e6i −0.264651 + 0.211052i
\(322\) −1.78886e7 8.61468e6i −0.535806 0.258031i
\(323\) −1.14857e7 + 2.38503e7i −0.340839 + 0.707760i
\(324\) 404505. + 507233.i 0.0118929 + 0.0149132i
\(325\) −4.48877e7 + 5.62873e7i −1.30761 + 1.63969i
\(326\) −4.35509e7 2.09730e7i −1.25703 0.605352i
\(327\) 8.79071e6 2.00642e6i 0.251409 0.0573825i
\(328\) 4.02946e6 919698.i 0.114189 0.0260630i
\(329\) 3.14409e7 + 2.50733e7i 0.882892 + 0.704083i
\(330\) 3.61330e7 + 7.50308e7i 1.00545 + 2.08784i
\(331\) 2.75065e7 + 6.27819e6i 0.758493 + 0.173121i 0.584241 0.811580i \(-0.301392\pi\)
0.174252 + 0.984701i \(0.444249\pi\)
\(332\) −1.28982e6 + 621145.i −0.0352464 + 0.0169738i
\(333\) 1.18685e7 9.46484e6i 0.321414 0.256319i
\(334\) −2.63480e7 + 6.01375e6i −0.707144 + 0.161401i
\(335\) 1.00384e7 8.00536e6i 0.267012 0.212935i
\(336\) 4.55803e6 1.99700e7i 0.120160 0.526454i
\(337\) 4.39147e7 1.14741 0.573707 0.819060i \(-0.305505\pi\)
0.573707 + 0.819060i \(0.305505\pi\)
\(338\) 2.57266e7i 0.666242i
\(339\) −2.35415e6 + 1.03142e7i −0.0604276 + 0.264751i
\(340\) 2.26489e6 + 1.80619e6i 0.0576250 + 0.0459544i
\(341\) −4.79683e7 2.31003e7i −1.20974 0.582579i
\(342\) 8.13522e6 3.91771e6i 0.203372 0.0979387i
\(343\) 4.13232e7i 1.02403i
\(344\) −3.06594e7 2.55859e7i −0.753163 0.628529i
\(345\) −4.83104e7 −1.17648
\(346\) 2.45946e7 + 5.10712e7i 0.593761 + 1.23296i
\(347\) −1.62473e7 + 3.37379e7i −0.388860 + 0.807475i 0.611015 + 0.791619i \(0.290762\pi\)
−0.999874 + 0.0158560i \(0.994953\pi\)
\(348\) 757916. 950396.i 0.0179839 0.0225511i
\(349\) −3.17189e7 7.23963e6i −0.746177 0.170310i −0.167506 0.985871i \(-0.553571\pi\)
−0.578671 + 0.815561i \(0.696428\pi\)
\(350\) −4.61299e7 −1.07592
\(351\) 6.05351e7i 1.39986i
\(352\) 5.39790e6 + 1.23204e6i 0.123765 + 0.0282485i
\(353\) 1.88798e7 + 2.36745e7i 0.429213 + 0.538216i 0.948665 0.316284i \(-0.102435\pi\)
−0.519452 + 0.854500i \(0.673864\pi\)
\(354\) −577508. 2.53023e6i −0.0130181 0.0570361i
\(355\) −5.15838e7 6.46840e7i −1.15300 1.44581i
\(356\) −525597. 1.09141e6i −0.0116494 0.0241902i
\(357\) −6.59074e6 + 2.88759e7i −0.144854 + 0.634645i
\(358\) 3.04588e6 1.46682e6i 0.0663841 0.0319689i
\(359\) −1.46812e7 + 1.84096e7i −0.317305 + 0.397888i −0.914749 0.404023i \(-0.867612\pi\)
0.597444 + 0.801911i \(0.296183\pi\)
\(360\) 5.81756e6 + 2.54884e7i 0.124691 + 0.546305i
\(361\) −6.31968e6 2.76883e7i −0.134330 0.588538i
\(362\) −7.17911e6 + 1.49076e7i −0.151337 + 0.314254i
\(363\) −6.14203e7 4.89810e7i −1.28408 1.02402i
\(364\) 1.14487e6 913007.i 0.0237385 0.0189308i
\(365\) 9.31894e7 + 4.48776e7i 1.91641 + 0.922893i
\(366\) 2.71097e7 5.62939e7i 0.552945 1.14820i
\(367\) −3.14291e7 3.94109e7i −0.635820 0.797293i 0.354654 0.934998i \(-0.384599\pi\)
−0.990473 + 0.137705i \(0.956027\pi\)
\(368\) −2.89864e7 + 3.63478e7i −0.581636 + 0.729348i
\(369\) 1.90359e6 + 916720.i 0.0378873 + 0.0182456i
\(370\) 9.51764e7 2.17234e7i 1.87899 0.428867i
\(371\) 3.86134e7 8.81325e6i 0.756164 0.172590i
\(372\) −908434. 724452.i −0.0176467 0.0140728i
\(373\) 1.20780e7 + 2.50802e7i 0.232738 + 0.483286i 0.984329 0.176344i \(-0.0564272\pi\)
−0.751590 + 0.659630i \(0.770713\pi\)
\(374\) −1.12975e8 2.57859e7i −2.15958 0.492910i
\(375\) −3.91053e7 + 1.88321e7i −0.741552 + 0.357113i
\(376\) 7.10296e7 5.66442e7i 1.33621 1.06559i
\(377\) −6.61189e7 + 1.50912e7i −1.23396 + 0.281644i
\(378\) 3.03253e7 2.41836e7i 0.561475 0.447761i
\(379\) −5.74788e6 + 2.51831e7i −0.105582 + 0.462585i 0.894304 + 0.447461i \(0.147672\pi\)
−0.999886 + 0.0151244i \(0.995186\pi\)
\(380\) 2.04045e6 0.0371856
\(381\) 2.01243e7i 0.363869i
\(382\) −8.38081e6 + 3.67187e7i −0.150347 + 0.658715i
\(383\) 3.05643e7 + 2.43742e7i 0.544024 + 0.433845i 0.856550 0.516065i \(-0.172604\pi\)
−0.312526 + 0.949909i \(0.601175\pi\)
\(384\) −4.31596e7 2.07846e7i −0.762226 0.367069i
\(385\) 9.42495e7 4.53882e7i 1.65157 0.795354i
\(386\) 1.87787e7i 0.326515i
\(387\) −4.09876e6 1.99979e7i −0.0707163 0.345026i
\(388\) 192544. 0.00329636
\(389\) 6.37596e6 + 1.32398e7i 0.108317 + 0.224923i 0.948081 0.318029i \(-0.103021\pi\)
−0.839764 + 0.542952i \(0.817307\pi\)
\(390\) 4.39947e7 9.13559e7i 0.741663 1.54008i
\(391\) 4.19133e7 5.25576e7i 0.701167 0.879235i
\(392\) 3.34059e7 + 7.62468e6i 0.554581 + 0.126579i
\(393\) 2.14239e7 0.352956
\(394\) 3.48124e7i 0.569175i
\(395\) −4.82887e7 1.10216e7i −0.783527 0.178835i
\(396\) 865983. + 1.08591e6i 0.0139452 + 0.0174867i
\(397\) 1.06744e7 + 4.67676e7i 0.170597 + 0.747436i 0.985754 + 0.168195i \(0.0537938\pi\)
−0.815156 + 0.579241i \(0.803349\pi\)
\(398\) −1.66269e7 2.08495e7i −0.263732 0.330709i
\(399\) 9.05164e6 + 1.87959e7i 0.142498 + 0.295900i
\(400\) −2.40355e7 + 1.05306e8i −0.375555 + 1.64541i
\(401\) 7.83744e7 3.77431e7i 1.21546 0.585335i 0.287417 0.957806i \(-0.407204\pi\)
0.928044 + 0.372471i \(0.121489\pi\)
\(402\) −6.98866e6 + 8.76350e6i −0.107576 + 0.134896i
\(403\) 1.44249e7 + 6.31996e7i 0.220393 + 0.965604i
\(404\) 475238. + 2.08215e6i 0.00720720 + 0.0315768i
\(405\) 2.44844e7 5.08424e7i 0.368574 0.765351i
\(406\) −3.39744e7 2.70937e7i −0.507661 0.404846i
\(407\) −1.07285e8 + 8.55571e7i −1.59132 + 1.26903i
\(408\) 6.02861e7 + 2.90322e7i 0.887639 + 0.427464i
\(409\) 2.76210e7 5.73556e7i 0.403710 0.838313i −0.595674 0.803226i \(-0.703115\pi\)
0.999384 0.0350865i \(-0.0111707\pi\)
\(410\) 8.47160e6 + 1.06231e7i 0.122918 + 0.154134i
\(411\) 3.58524e7 4.49575e7i 0.516408 0.647555i
\(412\) 2.26227e6 + 1.08945e6i 0.0323483 + 0.0155781i
\(413\) −3.17833e6 + 725434.i −0.0451179 + 0.0102979i
\(414\) −2.23548e7 + 5.10234e6i −0.315043 + 0.0719065i
\(415\) 9.73541e7 + 7.76373e7i 1.36210 + 1.08624i
\(416\) −2.92498e6 6.07378e6i −0.0406296 0.0843682i
\(417\) 4.75055e7 + 1.08428e7i 0.655143 + 0.149532i
\(418\) −7.35381e7 + 3.54141e7i −1.00689 + 0.484894i
\(419\) −1.80307e7 + 1.43790e7i −0.245115 + 0.195472i −0.738339 0.674430i \(-0.764390\pi\)
0.493224 + 0.869902i \(0.335818\pi\)
\(420\) 2.22575e6 508014.i 0.0300420 0.00685690i
\(421\) −4.01886e7 + 3.20493e7i −0.538588 + 0.429510i −0.854631 0.519235i \(-0.826217\pi\)
0.316043 + 0.948745i \(0.397645\pi\)
\(422\) 1.00661e7 4.41022e7i 0.133944 0.586845i
\(423\) 4.64424e7 0.613612
\(424\) 8.94766e7i 1.17385i
\(425\) 3.47544e7 1.52269e8i 0.452735 1.98356i
\(426\) 5.64689e7 + 4.50325e7i 0.730433 + 0.582501i
\(427\) −7.07132e7 3.40537e7i −0.908274 0.437402i
\(428\) −1.08195e6 + 521040.i −0.0137999 + 0.00664569i
\(429\) 1.42527e8i 1.80520i
\(430\) 3.20511e7 1.27306e8i 0.403123 1.60119i
\(431\) 1.07738e8 1.34566 0.672831 0.739797i \(-0.265078\pi\)
0.672831 + 0.739797i \(0.265078\pi\)
\(432\) −3.94063e7 8.18280e7i −0.488781 1.01496i
\(433\) −1.76686e6 + 3.66893e6i −0.0217640 + 0.0451935i −0.911567 0.411151i \(-0.865127\pi\)
0.889803 + 0.456344i \(0.150841\pi\)
\(434\) −2.58974e7 + 3.24743e7i −0.316801 + 0.397256i
\(435\) −1.03083e8 2.35280e7i −1.25233 0.285836i
\(436\) 967107. 0.0116685
\(437\) 4.73493e7i 0.567373i
\(438\) −8.80322e7 2.00928e7i −1.04766 0.239121i
\(439\) 8.48406e7 + 1.06387e8i 1.00279 + 1.25746i 0.966109 + 0.258133i \(0.0831072\pi\)
0.0366813 + 0.999327i \(0.488321\pi\)
\(440\) −5.25877e7 2.30402e8i −0.617343 2.70475i
\(441\) 1.09212e7 + 1.36947e7i 0.127336 + 0.159675i
\(442\) 6.12184e7 + 1.27121e8i 0.708949 + 1.47215i
\(443\) −4.24016e6 + 1.85773e7i −0.0487720 + 0.213684i −0.993442 0.114339i \(-0.963525\pi\)
0.944670 + 0.328023i \(0.106382\pi\)
\(444\) −2.69819e6 + 1.29938e6i −0.0308264 + 0.0148452i
\(445\) −6.56947e7 + 8.23786e7i −0.745505 + 0.934834i
\(446\) −2.19442e7 9.61438e7i −0.247352 1.08372i
\(447\) −2.65498e7 1.16322e8i −0.297262 1.30239i
\(448\) −2.43001e7 + 5.04597e7i −0.270255 + 0.561191i
\(449\) −4.78166e7 3.81324e7i −0.528250 0.421265i 0.322709 0.946498i \(-0.395407\pi\)
−0.850958 + 0.525233i \(0.823978\pi\)
\(450\) −4.16513e7 + 3.32158e7i −0.457079 + 0.364508i
\(451\) −1.72074e7 8.28666e6i −0.187580 0.0903337i
\(452\) −492335. + 1.02234e6i −0.00533145 + 0.0110709i
\(453\) −3.13276e6 3.92835e6i −0.0337001 0.0422587i
\(454\) −5.68658e6 + 7.13075e6i −0.0607692 + 0.0762022i
\(455\) −1.14756e8 5.52637e7i −1.21827 0.586686i
\(456\) 4.59484e7 1.04874e7i 0.484592 0.110605i
\(457\) −8.66634e7 + 1.97803e7i −0.908002 + 0.207246i −0.650922 0.759145i \(-0.725618\pi\)
−0.257080 + 0.966390i \(0.582760\pi\)
\(458\) 765966. + 610838.i 0.00797284 + 0.00635813i
\(459\) 5.69800e7 + 1.18320e8i 0.589229 + 1.22355i
\(460\) −5.05169e6 1.15301e6i −0.0518995 0.0118457i
\(461\) −5.47602e7 + 2.63711e7i −0.558936 + 0.269169i −0.691951 0.721945i \(-0.743249\pi\)
0.133015 + 0.991114i \(0.457534\pi\)
\(462\) −7.13995e7 + 5.69392e7i −0.724051 + 0.577412i
\(463\) −2.63728e7 + 6.01943e6i −0.265714 + 0.0606474i −0.353302 0.935509i \(-0.614941\pi\)
0.0875883 + 0.996157i \(0.472084\pi\)
\(464\) −7.95520e7 + 6.34406e7i −0.796337 + 0.635058i
\(465\) −2.24891e7 + 9.85313e7i −0.223673 + 0.979976i
\(466\) −3.97432e7 −0.392740
\(467\) 1.46397e8i 1.43742i 0.695311 + 0.718709i \(0.255266\pi\)
−0.695311 + 0.718709i \(0.744734\pi\)
\(468\) 376312. 1.64873e6i 0.00367122 0.0160847i
\(469\) 1.10082e7 + 8.77876e6i 0.106708 + 0.0850970i
\(470\) 2.69090e8 + 1.29587e8i 2.59181 + 1.24815i
\(471\) 1.15725e8 5.57304e7i 1.10756 0.533371i
\(472\) 7.36496e6i 0.0700398i
\(473\) 3.70506e7 + 1.80770e8i 0.350116 + 1.70822i
\(474\) 4.32400e7 0.406023
\(475\) −4.77313e7 9.91152e7i −0.445372 0.924824i
\(476\) −1.37835e6 + 2.86218e6i −0.0127802 + 0.0265384i
\(477\) 2.85185e7 3.57611e7i 0.262768 0.329500i
\(478\) −1.63925e8 3.74147e7i −1.50093 0.342577i
\(479\) −8.61902e7 −0.784244 −0.392122 0.919913i \(-0.628259\pi\)
−0.392122 + 0.919913i \(0.628259\pi\)
\(480\) 1.05102e7i 0.0950354i
\(481\) 1.62891e8 + 3.71787e7i 1.46373 + 0.334087i
\(482\) 675130. + 846586.i 0.00602901 + 0.00756014i
\(483\) −1.17886e7 5.16494e7i −0.104622 0.458378i
\(484\) −5.25353e6 6.58772e6i −0.0463356 0.0581031i
\(485\) −7.26650e6 1.50890e7i −0.0636942 0.132262i
\(486\) 1.73392e7 7.59681e7i 0.151050 0.661793i
\(487\) −7.61217e7 + 3.66583e7i −0.659055 + 0.317384i −0.733349 0.679852i \(-0.762044\pi\)
0.0742940 + 0.997236i \(0.476330\pi\)
\(488\) −1.10551e8 + 1.38627e8i −0.951272 + 1.19286i
\(489\) −2.87003e7 1.25744e8i −0.245448 1.07538i
\(490\) 2.50659e7 + 1.09821e8i 0.213057 + 0.933462i
\(491\) −3.38503e7 + 7.02909e7i −0.285969 + 0.593820i −0.993625 0.112737i \(-0.964038\pi\)
0.707656 + 0.706557i \(0.249753\pi\)
\(492\) −325878. 259879.i −0.00273627 0.00218210i
\(493\) 1.15029e8 9.17328e7i 0.959992 0.765568i
\(494\) 8.95384e7 + 4.31194e7i 0.742726 + 0.357678i
\(495\) 5.24174e7 1.08846e8i 0.432175 0.897421i
\(496\) 6.06395e7 + 7.60395e7i 0.496948 + 0.623153i
\(497\) 5.65673e7 7.09331e7i 0.460782 0.577803i
\(498\) −9.79408e7 4.71658e7i −0.793004 0.381891i
\(499\) −5.71889e7 + 1.30530e7i −0.460267 + 0.105053i −0.446366 0.894850i \(-0.647282\pi\)
−0.0139009 + 0.999903i \(0.504425\pi\)
\(500\) −4.53860e6 + 1.03590e6i −0.0363088 + 0.00828724i
\(501\) −5.63787e7 4.49605e7i −0.448334 0.357535i
\(502\) −6.22028e7 1.29165e8i −0.491698 1.02102i
\(503\) 2.10830e8 + 4.81206e7i 1.65664 + 0.378117i 0.945676 0.325111i \(-0.105402\pi\)
0.710964 + 0.703228i \(0.248259\pi\)
\(504\) −2.58305e7 + 1.24393e7i −0.201763 + 0.0971637i
\(505\) 1.45236e8 1.15822e8i 1.12772 0.899326i
\(506\) 2.02076e8 4.61224e7i 1.55978 0.356009i
\(507\) 5.36689e7 4.27995e7i 0.411812 0.328409i
\(508\) −480302. + 2.10434e6i −0.00366373 + 0.0160518i
\(509\) 1.91303e8 1.45067 0.725334 0.688398i \(-0.241686\pi\)
0.725334 + 0.688398i \(0.241686\pi\)
\(510\) 2.19973e8i 1.65828i
\(511\) −2.52394e7 + 1.10581e8i −0.189155 + 0.828740i
\(512\) 9.86435e7 + 7.86656e7i 0.734951 + 0.586104i
\(513\) 8.33393e7 + 4.01341e7i 0.617302 + 0.297277i
\(514\) −9.62092e7 + 4.63319e7i −0.708480 + 0.341186i
\(515\) 2.18401e8i 1.59895i
\(516\) −89555.9 + 4.02616e6i −0.000651846 + 0.0293050i
\(517\) −4.19815e8 −3.03799
\(518\) 4.64496e7 + 9.64537e7i 0.334190 + 0.693952i
\(519\) −6.56246e7 + 1.36271e8i −0.469423 + 0.974768i
\(520\) −1.79407e8 + 2.24969e8i −1.27594 + 1.59998i
\(521\) −2.55675e8 5.83563e7i −1.80791 0.412643i −0.820604 0.571497i \(-0.806363\pi\)
−0.987302 + 0.158854i \(0.949220\pi\)
\(522\) −5.01847e7 −0.352825
\(523\) 1.39613e8i 0.975934i 0.872862 + 0.487967i \(0.162261\pi\)
−0.872862 + 0.487967i \(0.837739\pi\)
\(524\) 2.24023e6 + 511319.i 0.0155704 + 0.00355384i
\(525\) −7.67431e7 9.62328e7i −0.530349 0.665036i
\(526\) −4.86509e7 2.13154e8i −0.334298 1.46466i
\(527\) −8.76825e7 1.09950e8i −0.599075 0.751216i
\(528\) 9.27801e7 + 1.92660e8i 0.630309 + 1.30885i
\(529\) 6.18499e6 2.70982e7i 0.0417803 0.183052i
\(530\) 2.65021e8 1.27628e8i 1.78014 0.857268i
\(531\) −2.34741e6 + 2.94356e6i −0.0156785 + 0.0196602i
\(532\) 497907. + 2.18147e6i 0.00330684 + 0.0144882i
\(533\) 5.17457e6 + 2.26713e7i 0.0341737 + 0.149725i
\(534\) 3.99105e7 8.28750e7i 0.262098 0.544252i
\(535\) 8.16644e7 + 6.51252e7i 0.533300 + 0.425293i
\(536\) 2.48691e7 1.98325e7i 0.161498 0.128790i
\(537\) 8.12719e6 + 3.91385e6i 0.0524829 + 0.0252744i
\(538\) 3.17224e7 6.58723e7i 0.203713 0.423015i
\(539\) −9.87215e7 1.23793e8i −0.630442 0.790550i
\(540\) 6.31132e6 7.91414e6i 0.0400810 0.0502600i
\(541\) −1.63723e8 7.88451e7i −1.03400 0.497946i −0.161657 0.986847i \(-0.551684\pi\)
−0.872340 + 0.488901i \(0.837398\pi\)
\(542\) −7.95977e7 + 1.81676e7i −0.499922 + 0.114104i
\(543\) −4.30425e7 + 9.82416e6i −0.268842 + 0.0613615i
\(544\) 1.14342e7 + 9.11843e6i 0.0710244 + 0.0566400i
\(545\) −3.64981e7 7.57890e7i −0.225466 0.468184i
\(546\) 1.08406e8 + 2.47429e7i 0.665999 + 0.152010i
\(547\) 2.62543e8 1.26434e8i 1.60413 0.772507i 0.604419 0.796667i \(-0.293405\pi\)
0.999708 + 0.0241601i \(0.00769114\pi\)
\(548\) 4.82198e6 3.84540e6i 0.0293011 0.0233668i
\(549\) −8.83682e7 + 2.01695e7i −0.534046 + 0.121893i
\(550\) 3.76506e8 3.00253e8i 2.26299 1.80468i
\(551\) 2.30599e7 1.01032e8i 0.137848 0.603954i
\(552\) −1.19684e8 −0.711573
\(553\) 5.43156e7i 0.321181i
\(554\) 5.97404e7 2.61740e8i 0.351349 1.53936i
\(555\) 2.03656e8 + 1.62410e8i 1.19129 + 0.950024i
\(556\) 4.70874e6 + 2.26761e6i 0.0273956 + 0.0131930i
\(557\) −1.52217e8 + 7.33040e7i −0.880843 + 0.424192i −0.818933 0.573890i \(-0.805434\pi\)
−0.0619109 + 0.998082i \(0.519719\pi\)
\(558\) 4.79689e7i 0.276094i
\(559\) 1.43956e8 1.72501e8i 0.824127 0.987546i
\(560\) −1.91096e8 −1.08815
\(561\) −1.34157e8 2.78579e8i −0.759843 1.57783i
\(562\) −1.41082e8 + 2.92960e8i −0.794810 + 1.65044i
\(563\) 1.97555e8 2.47726e8i 1.10704 1.38818i 0.193658 0.981069i \(-0.437965\pi\)
0.913379 0.407111i \(-0.133464\pi\)
\(564\) −8.93235e6 2.03875e6i −0.0497884 0.0113639i
\(565\) 9.86981e7 0.547222
\(566\) 4.42149e7i 0.243848i
\(567\) 6.03310e7 + 1.37702e7i 0.330972 + 0.0755422i
\(568\) −1.27794e8 1.60248e8i −0.697371 0.874476i
\(569\) −4.51437e7 1.97787e8i −0.245053 1.07365i −0.936347 0.351075i \(-0.885816\pi\)
0.691294 0.722573i \(-0.257041\pi\)
\(570\) 9.66026e7 + 1.21136e8i 0.521632 + 0.654106i
\(571\) −1.32966e7 2.76107e7i −0.0714220 0.148309i 0.862201 0.506566i \(-0.169085\pi\)
−0.933623 + 0.358257i \(0.883371\pi\)
\(572\) −3.40166e6 + 1.49037e7i −0.0181762 + 0.0796351i
\(573\) −9.05424e7 + 4.36029e7i −0.481269 + 0.231767i
\(574\) −9.29004e6 + 1.16493e7i −0.0491227 + 0.0615979i
\(575\) 6.21641e7 + 2.72359e8i 0.326991 + 1.43264i
\(576\) 1.43926e7 + 6.30579e7i 0.0753131 + 0.329968i
\(577\) 6.02580e7 1.25127e8i 0.313680 0.651364i −0.683205 0.730227i \(-0.739415\pi\)
0.996886 + 0.0788625i \(0.0251288\pi\)
\(578\) −8.56149e7 6.82756e7i −0.443369 0.353575i
\(579\) 3.91747e7 3.12408e7i 0.201823 0.160948i
\(580\) −1.02175e7 4.92051e6i −0.0523676 0.0252189i
\(581\) −5.92470e7 + 1.23028e8i −0.302091 + 0.627299i
\(582\) 9.11579e6 + 1.14308e7i 0.0462408 + 0.0579841i
\(583\) −2.57793e8 + 3.23262e8i −1.30096 + 1.63136i
\(584\) 2.30867e8 + 1.11180e8i 1.15911 + 0.558197i
\(585\) −1.43407e8 + 3.27318e7i −0.716315 + 0.163494i
\(586\) 3.26228e8 7.44595e7i 1.62117 0.370022i
\(587\) −4.41141e7 3.51798e7i −0.218104 0.173932i 0.508343 0.861155i \(-0.330258\pi\)
−0.726447 + 0.687223i \(0.758830\pi\)
\(588\) −1.49931e6 3.11335e6i −0.00737495 0.0153142i
\(589\) −9.65710e7 2.20417e7i −0.472608 0.107870i
\(590\) −2.18143e7 + 1.05052e7i −0.106215 + 0.0511505i
\(591\) −7.26231e7 + 5.79150e7i −0.351813 + 0.280562i
\(592\) 2.44389e8 5.57801e7i 1.17792 0.268853i
\(593\) 8.44065e7 6.73119e7i 0.404773 0.322796i −0.399851 0.916580i \(-0.630938\pi\)
0.804624 + 0.593784i \(0.202367\pi\)
\(594\) −9.01029e7 + 3.94767e8i −0.429912 + 1.88357i
\(595\) 2.76317e8 1.31177
\(596\) 1.27972e7i 0.0604470i
\(597\) 1.58336e7 6.93716e7i 0.0744144 0.326031i
\(598\) −1.97311e8 1.57350e8i −0.922673 0.735807i
\(599\) 3.47979e8 + 1.67578e8i 1.61910 + 0.779716i 0.999984 0.00558733i \(-0.00177851\pi\)
0.619112 + 0.785303i \(0.287493\pi\)
\(600\) −2.50532e8 + 1.20650e8i −1.15987 + 0.558565i
\(601\) 1.31453e8i 0.605544i −0.953063 0.302772i \(-0.902088\pi\)
0.953063 0.302772i \(-0.0979121\pi\)
\(602\) 1.43925e8 + 3.20141e6i 0.659702 + 0.0146741i
\(603\) 1.62606e7 0.0741625
\(604\) −233826. 485546.i −0.00106116 0.00220353i
\(605\) −3.17993e8 + 6.60319e8i −1.43599 + 2.98186i
\(606\) −1.01112e8 + 1.26791e8i −0.454345 + 0.569731i
\(607\) −2.22050e8 5.06815e7i −0.992853 0.226612i −0.304913 0.952380i \(-0.598627\pi\)
−0.687940 + 0.725768i \(0.741485\pi\)
\(608\) 1.03011e7 0.0458322
\(609\) 1.15949e8i 0.513350i
\(610\) −5.68289e8 1.29708e8i −2.50368 0.571449i
\(611\) 3.18701e8 + 3.99639e8i 1.39721 + 1.75204i
\(612\) 816375. + 3.57677e6i 0.00356152 + 0.0156040i
\(613\) 1.55229e7 + 1.94651e7i 0.0673895 + 0.0845038i 0.814384 0.580327i \(-0.197075\pi\)
−0.746994 + 0.664831i \(0.768504\pi\)
\(614\) 6.10471e6 + 1.26766e7i 0.0263730 + 0.0547642i
\(615\) −8.06741e6 + 3.53456e7i −0.0346824 + 0.151953i
\(616\) 2.33494e8 1.12445e8i 0.998926 0.481057i
\(617\) −1.44510e8 + 1.81210e8i −0.615236 + 0.771482i −0.987666 0.156579i \(-0.949954\pi\)
0.372429 + 0.928061i \(0.378525\pi\)
\(618\) 4.24267e7 + 1.85883e8i 0.179752 + 0.787545i
\(619\) 5.05227e7 + 2.21355e8i 0.213017 + 0.933290i 0.962503 + 0.271270i \(0.0874436\pi\)
−0.749486 + 0.662020i \(0.769699\pi\)
\(620\) −4.70325e6 + 9.76641e6i −0.0197344 + 0.0409789i
\(621\) −1.83650e8 1.46456e8i −0.766862 0.611552i
\(622\) 1.15497e8 9.21062e7i 0.479956 0.382752i
\(623\) −1.04103e8 5.01333e7i −0.430525 0.207330i
\(624\) 1.12967e8 2.34579e8i 0.464941 0.965461i
\(625\) 4.26971e6 + 5.35404e6i 0.0174887 + 0.0219302i
\(626\) 2.09546e8 2.62763e8i 0.854195 1.07113i
\(627\) −1.96218e8 9.44938e7i −0.796044 0.383354i
\(628\) 1.34312e7 3.06558e6i 0.0542295 0.0123775i
\(629\) −3.53377e8 + 8.06560e7i −1.41999 + 0.324104i
\(630\) −7.36881e7 5.87643e7i −0.294697 0.235013i
\(631\) −1.95385e7 4.05722e7i −0.0777685 0.161488i 0.858459 0.512882i \(-0.171422\pi\)
−0.936228 + 0.351394i \(0.885708\pi\)
\(632\) −1.19630e8 2.73048e7i −0.473904 0.108165i
\(633\) 1.08749e8 5.23708e7i 0.428760 0.206480i
\(634\) −2.24553e8 + 1.79075e8i −0.881154 + 0.702697i
\(635\) 1.83036e8 4.17769e7i 0.714852 0.163160i
\(636\) −7.05488e6 + 5.62608e6i −0.0274232 + 0.0218693i
\(637\) −4.28993e7 + 1.87954e8i −0.165971 + 0.727166i
\(638\) 4.53643e8 1.74684
\(639\) 1.04778e8i 0.401574i
\(640\) −9.94451e7 + 4.35698e8i −0.379353 + 1.66205i
\(641\) 4.25330e7 + 3.39189e7i 0.161492 + 0.128786i 0.700902 0.713258i \(-0.252781\pi\)
−0.539410 + 0.842044i \(0.681353\pi\)
\(642\) −8.21566e7 3.95645e7i −0.310483 0.149520i
\(643\) 3.04340e8 1.46563e8i 1.14479 0.551303i 0.237326 0.971430i \(-0.423729\pi\)
0.907465 + 0.420127i \(0.138015\pi\)
\(644\) 5.68219e6i 0.0212745i
\(645\) 3.18897e8 1.44927e8i 1.18842 0.540094i
\(646\) −2.15596e8 −0.799731
\(647\) −1.32944e8 2.76062e8i −0.490859 1.01928i −0.988405 0.151842i \(-0.951480\pi\)
0.497545 0.867438i \(-0.334235\pi\)
\(648\) 6.06576e7 1.25957e8i 0.222926 0.462910i
\(649\) 2.12193e7 2.66082e7i 0.0776243 0.0973378i
\(650\) −5.71647e8 1.30475e8i −2.08155 0.475101i
\(651\) −1.10829e8 −0.401709
\(652\) 1.38337e7i 0.0499109i
\(653\) 1.18544e8 + 2.70570e7i 0.425737 + 0.0971716i 0.430020 0.902819i \(-0.358506\pi\)
−0.00428358 + 0.999991i \(0.501364\pi\)
\(654\) 4.57866e7 + 5.74146e7i 0.163684 + 0.205253i
\(655\) −4.44748e7 1.94857e8i −0.158267 0.693412i
\(656\) 2.17529e7 + 2.72773e7i 0.0770558 + 0.0966250i
\(657\) 5.68348e7 + 1.18019e8i 0.200410 + 0.416155i
\(658\) −7.28804e7 + 3.19310e8i −0.255819 + 1.12082i
\(659\) −4.86032e8 + 2.34060e8i −1.69828 + 0.817846i −0.704097 + 0.710104i \(0.748648\pi\)
−0.994179 + 0.107743i \(0.965638\pi\)
\(660\) −1.48597e7 + 1.86335e7i −0.0516866 + 0.0648130i
\(661\) −1.09960e8 4.81764e8i −0.380740 1.66813i −0.695166 0.718849i \(-0.744669\pi\)
0.314426 0.949282i \(-0.398188\pi\)
\(662\) 5.11319e7 + 2.24023e8i 0.176245 + 0.772182i
\(663\) −1.63346e8 + 3.39192e8i −0.560491 + 1.16387i
\(664\) 2.41185e8 + 1.92339e8i 0.823846 + 0.656995i
\(665\) 1.52164e8 1.21347e8i 0.517425 0.412633i
\(666\) 1.11391e8 + 5.36432e7i 0.377076 + 0.181590i
\(667\) −1.14182e8 + 2.37102e8i −0.384787 + 0.799019i
\(668\) −4.82230e6 6.04698e6i −0.0161780 0.0202866i
\(669\) 1.64061e8 2.05726e8i 0.547932 0.687085i
\(670\) 9.42148e7 + 4.53714e7i 0.313253 + 0.150854i
\(671\) 7.98802e8 1.82321e8i 2.64406 0.603490i
\(672\) 1.12366e7 2.56467e6i 0.0370276 0.00845132i
\(673\) 2.79070e8 + 2.22551e8i 0.915521 + 0.730104i 0.963208 0.268759i \(-0.0866134\pi\)
−0.0476864 + 0.998862i \(0.515185\pi\)
\(674\) 1.55182e8 + 3.22239e8i 0.506829 + 1.05244i
\(675\) −5.32069e8 1.21441e8i −1.73004 0.394871i
\(676\) 6.63350e6 3.19452e6i 0.0214735 0.0103411i
\(677\) 1.35488e7 1.08048e7i 0.0436652 0.0348218i −0.601414 0.798937i \(-0.705396\pi\)
0.645079 + 0.764116i \(0.276824\pi\)
\(678\) −8.40029e7 + 1.91731e7i −0.269529 + 0.0615182i
\(679\) 1.43588e7 1.14507e7i 0.0458678 0.0365784i
\(680\) 1.38907e8 6.08590e8i 0.441770 1.93552i
\(681\) −2.43360e7 −0.0770562
\(682\) 4.33613e8i 1.36694i
\(683\) −1.00406e8 + 4.39908e8i −0.315136 + 1.38070i 0.530835 + 0.847475i \(0.321878\pi\)
−0.845972 + 0.533228i \(0.820979\pi\)
\(684\) 2.02033e6 + 1.61116e6i 0.00631327 + 0.00503467i
\(685\) −4.83330e8 2.32759e8i −1.50374 0.724162i
\(686\) −3.03222e8 + 1.46024e8i −0.939266 + 0.452327i
\(687\) 2.61411e6i 0.00806220i
\(688\) 8.22990e7 3.26888e8i 0.252714 1.00377i
\(689\) 5.03429e8 1.53915
\(690\) −1.70715e8 3.54493e8i −0.519666 1.07910i
\(691\) 1.41773e8 2.94394e8i 0.429693 0.892268i −0.567911 0.823090i \(-0.692248\pi\)
0.997604 0.0691776i \(-0.0220375\pi\)
\(692\) −1.01145e7 + 1.26832e7i −0.0305230 + 0.0382747i
\(693\) 1.29160e8 + 2.94798e7i 0.388085 + 0.0885779i
\(694\) −3.04976e8 −0.912404
\(695\) 4.54587e8i 1.35414i
\(696\) −2.55377e8 5.82882e7i −0.757450 0.172883i
\(697\) −3.14539e7 3.94419e7i −0.0928915 0.116482i
\(698\) −5.89623e7 2.58331e8i −0.173384 0.759643i
\(699\) −6.61180e7 8.29093e7i −0.193592 0.242757i
\(700\) −5.72805e6 1.18944e7i −0.0166998 0.0346776i
\(701\) −1.04048e8 + 4.55864e8i −0.302051 + 1.32337i 0.564976 + 0.825107i \(0.308885\pi\)
−0.867026 + 0.498262i \(0.833972\pi\)
\(702\) 4.44196e8 2.13914e8i 1.28400 0.618339i
\(703\) −1.59179e8 + 1.99604e8i −0.458163 + 0.574518i
\(704\) −1.30101e8 5.70011e8i −0.372875 1.63367i
\(705\) 1.77331e8 + 7.76940e8i 0.506079 + 2.21728i
\(706\) −1.07004e8 + 2.22195e8i −0.304078 + 0.631424i
\(707\) 1.59267e8 + 1.27012e8i 0.450681 + 0.359406i
\(708\) 580699. 463092.i 0.00163626 0.00130487i
\(709\) 2.30738e8 + 1.11117e8i 0.647411 + 0.311777i 0.728618 0.684921i \(-0.240163\pi\)
−0.0812069 + 0.996697i \(0.525877\pi\)
\(710\) 2.92358e8 6.07087e8i 0.816845 1.69620i
\(711\) −3.91099e7 4.90423e7i −0.108812 0.136446i
\(712\) −1.62752e8 + 2.04085e8i −0.450907 + 0.565419i
\(713\) 2.26633e8 + 1.09141e8i 0.625251 + 0.301105i
\(714\) −2.35176e8 + 5.36774e7i −0.646099 + 0.147468i
\(715\) 1.29633e9 2.95878e8i 3.54647 0.809459i
\(716\) 756427. + 603230.i 0.00206076 + 0.00164340i
\(717\) −1.94658e8 4.04211e8i −0.528098 1.09661i
\(718\) −1.86965e8 4.26736e7i −0.505112 0.115289i
\(719\) 1.33457e7 6.42697e6i 0.0359051 0.0172910i −0.415845 0.909435i \(-0.636514\pi\)
0.451750 + 0.892145i \(0.350800\pi\)
\(720\) −1.72543e8 + 1.37598e8i −0.462274 + 0.368651i
\(721\) 2.33496e8 5.32940e7i 0.622980 0.142191i
\(722\) 1.80840e8 1.44215e8i 0.480489 0.383177i
\(723\) −642919. + 2.81681e6i −0.00170114 + 0.00745320i
\(724\) −4.73530e6 −0.0124776
\(725\) 6.11423e8i 1.60446i
\(726\) 1.42373e8 6.23776e8i 0.372064 1.63012i
\(727\) 5.20693e7 + 4.15239e7i 0.135512 + 0.108067i 0.688900 0.724856i \(-0.258094\pi\)
−0.553388 + 0.832924i \(0.686665\pi\)
\(728\) −2.84297e8 1.36910e8i −0.736848 0.354847i
\(729\) 3.70145e8 1.78252e8i 0.955408 0.460100i
\(730\) 8.42392e8i 2.16544i
\(731\) −1.19001e8 + 4.72668e8i −0.304649 + 1.21005i
\(732\) 1.78814e7 0.0455899
\(733\) −9.75692e7 2.02605e8i −0.247743 0.514443i 0.739600 0.673047i \(-0.235015\pi\)
−0.987342 + 0.158604i \(0.949301\pi\)
\(734\) 1.78129e8 3.69888e8i 0.450449 0.935367i
\(735\) −1.87400e8 + 2.34992e8i −0.471962 + 0.591821i
\(736\) −2.55031e7 5.82092e6i −0.0639675 0.0146002i
\(737\) −1.46987e8 −0.367178
\(738\) 1.72076e7i 0.0428106i
\(739\) −2.99716e8 6.84082e7i −0.742637 0.169502i −0.165569 0.986198i \(-0.552946\pi\)
−0.577068 + 0.816696i \(0.695803\pi\)
\(740\) 1.74195e7 + 2.18434e7i 0.0429874 + 0.0539045i
\(741\) 5.90062e7 + 2.58523e8i 0.145025 + 0.635396i
\(742\) 2.01119e8 + 2.52195e8i 0.492312 + 0.617340i
\(743\) −1.82959e8 3.79919e8i −0.446055 0.926243i −0.995856 0.0909469i \(-0.971011\pi\)
0.549801 0.835296i \(-0.314704\pi\)
\(744\) −5.57146e7 + 2.44101e8i −0.135285 + 0.592723i
\(745\) −1.00287e9 + 4.82958e8i −2.42536 + 1.16799i
\(746\) −1.41354e8 + 1.77252e8i −0.340480 + 0.426948i
\(747\) 3.50911e7 + 1.53744e8i 0.0841850 + 0.368839i
\(748\) −7.37960e6 3.23322e7i −0.0176331 0.0772556i
\(749\) −4.96987e7 + 1.03200e8i −0.118277 + 0.245604i
\(750\) −2.76374e8 2.20401e8i −0.655108 0.522431i
\(751\) 1.63309e8 1.30234e8i 0.385558 0.307472i −0.411460 0.911428i \(-0.634981\pi\)
0.797018 + 0.603956i \(0.206410\pi\)
\(752\) 6.90954e8 + 3.32746e8i 1.62478 + 0.782455i
\(753\) 1.65973e8 3.44646e8i 0.388734 0.807214i
\(754\) −3.44382e8 4.31841e8i −0.803390 1.00742i
\(755\) −2.92261e7 + 3.66484e7i −0.0679095 + 0.0851558i
\(756\) 1.00012e7 + 4.81633e6i 0.0231466 + 0.0111468i
\(757\) 6.60072e8 1.50657e8i