Properties

Label 21.6.e.c.4.1
Level $21$
Weight $6$
Character 21.4
Analytic conductor $3.368$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 21.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.36806021607\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 98 x^{6} + 83 x^{5} + 9122 x^{4} - 91 x^{3} + 28567 x^{2} + 2058 x + 86436\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.1
Root \(-4.61193 - 7.98809i\) of defining polynomial
Character \(\chi\) \(=\) 21.4
Dual form 21.6.e.c.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.11193 - 8.85412i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(-36.2636 + 62.8104i) q^{4} +(-11.8764 - 20.5705i) q^{5} +92.0147 q^{6} +(30.6840 + 125.958i) q^{7} +414.344 q^{8} +(-40.5000 - 70.1481i) q^{9} +O(q^{10})\) \(q+(-5.11193 - 8.85412i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(-36.2636 + 62.8104i) q^{4} +(-11.8764 - 20.5705i) q^{5} +92.0147 q^{6} +(30.6840 + 125.958i) q^{7} +414.344 q^{8} +(-40.5000 - 70.1481i) q^{9} +(-121.423 + 210.310i) q^{10} +(-232.763 + 403.157i) q^{11} +(-326.372 - 565.293i) q^{12} -1019.30 q^{13} +(958.395 - 915.570i) q^{14} +213.775 q^{15} +(-957.660 - 1658.72i) q^{16} +(-280.878 + 486.496i) q^{17} +(-414.066 + 717.183i) q^{18} +(693.789 + 1201.68i) q^{19} +1722.72 q^{20} +(-1119.83 - 327.654i) q^{21} +4759.47 q^{22} +(-2056.81 - 3562.50i) q^{23} +(-1864.55 + 3229.49i) q^{24} +(1280.40 - 2217.72i) q^{25} +(5210.59 + 9025.00i) q^{26} +729.000 q^{27} +(-9024.20 - 2640.42i) q^{28} -2381.37 q^{29} +(-1092.80 - 1892.79i) q^{30} +(-1475.33 + 2555.34i) q^{31} +(-3161.47 + 5475.84i) q^{32} +(-2094.87 - 3628.42i) q^{33} +5743.32 q^{34} +(2226.61 - 2127.12i) q^{35} +5874.70 q^{36} +(4954.48 + 8581.40i) q^{37} +(7093.20 - 12285.8i) q^{38} +(4586.85 - 7944.66i) q^{39} +(-4920.92 - 8523.28i) q^{40} -4477.13 q^{41} +(2823.38 + 11590.0i) q^{42} +5181.48 q^{43} +(-16881.6 - 29239.9i) q^{44} +(-961.989 + 1666.21i) q^{45} +(-21028.5 + 36422.5i) q^{46} +(1560.80 + 2703.38i) q^{47} +17237.9 q^{48} +(-14924.0 + 7729.82i) q^{49} -26181.3 q^{50} +(-2527.91 - 4378.46i) q^{51} +(36963.5 - 64022.6i) q^{52} +(-570.499 + 988.133i) q^{53} +(-3726.59 - 6454.65i) q^{54} +11057.6 q^{55} +(12713.7 + 52190.0i) q^{56} -12488.2 q^{57} +(12173.4 + 21085.0i) q^{58} +(-13748.5 + 23813.2i) q^{59} +(-7752.26 + 13427.3i) q^{60} +(10551.8 + 18276.2i) q^{61} +30167.1 q^{62} +(7593.03 - 7253.74i) q^{63} +3354.67 q^{64} +(12105.6 + 20967.6i) q^{65} +(-21417.6 + 37096.4i) q^{66} +(27794.2 - 48141.0i) q^{67} +(-20371.3 - 35284.2i) q^{68} +37022.6 q^{69} +(-30216.0 - 8841.02i) q^{70} -6076.90 q^{71} +(-16780.9 - 29065.4i) q^{72} +(8389.82 - 14531.6i) q^{73} +(50653.8 - 87735.0i) q^{74} +(11523.6 + 19959.5i) q^{75} -100637. q^{76} +(-57923.1 - 16947.9i) q^{77} -93790.5 q^{78} +(2422.63 + 4196.12i) q^{79} +(-22747.1 + 39399.2i) q^{80} +(-3280.50 + 5681.99i) q^{81} +(22886.7 + 39641.0i) q^{82} +60145.4 q^{83} +(61189.0 - 58454.8i) q^{84} +13343.3 q^{85} +(-26487.4 - 45877.5i) q^{86} +(10716.2 - 18561.0i) q^{87} +(-96443.9 + 167046. i) q^{88} +(31248.7 + 54124.4i) q^{89} +19670.5 q^{90} +(-31276.2 - 128389. i) q^{91} +298349. q^{92} +(-13277.9 - 22998.1i) q^{93} +(15957.4 - 27639.0i) q^{94} +(16479.4 - 28543.2i) q^{95} +(-28453.3 - 49282.5i) q^{96} -63653.8 q^{97} +(144731. + 92624.4i) q^{98} +37707.6 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} + O(q^{10}) \) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} - 283q^{10} - 402q^{11} - 621q^{12} + 924q^{13} + 1926q^{14} - 3273q^{16} - 276q^{17} - 243q^{18} - 510q^{19} + 9438q^{20} - 3564q^{21} + 2750q^{22} - 6900q^{23} - 1107q^{24} - 2814q^{25} + 15138q^{26} + 5832q^{27} - 26221q^{28} + 1080q^{29} - 2547q^{30} + 6410q^{31} - 15519q^{32} - 3618q^{33} + 42288q^{34} - 33108q^{35} + 11178q^{36} - 15250q^{37} + 41250q^{38} - 4158q^{39} + 8547q^{40} + 8616q^{41} - 16281q^{42} + 58396q^{43} - 70743q^{44} - 61800q^{46} + 15060q^{47} + 58914q^{48} - 64252q^{49} - 14604q^{50} - 2484q^{51} + 47476q^{52} - 13692q^{53} - 2187q^{54} + 146248q^{55} - 15921q^{56} + 9180q^{57} - 52309q^{58} - 34830q^{59} - 42471q^{60} + 5364q^{61} + 32058q^{62} + 11178q^{63} - 146974q^{64} - 66864q^{65} - 12375q^{66} + 5994q^{67} + 58272q^{68} + 124200q^{69} - 4307q^{70} + 178536q^{71} - 9963q^{72} - 59638q^{73} + 185442q^{74} - 25326q^{75} + 42616q^{76} - 75660q^{77} - 272484q^{78} + 44062q^{79} + 33381q^{80} - 26244q^{81} - 57596q^{82} - 416892q^{83} + 63036q^{84} + 72648q^{85} + 136968q^{86} - 4860q^{87} - 87597q^{88} + 77520q^{89} + 45846q^{90} + 104722q^{91} + 316512q^{92} + 57690q^{93} + 73722q^{94} + 221376q^{95} - 139671q^{96} - 377260q^{97} + 382479q^{98} + 65124q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.11193 8.85412i −0.903669 1.56520i −0.822693 0.568485i \(-0.807530\pi\)
−0.0809760 0.996716i \(-0.525804\pi\)
\(3\) −4.50000 + 7.79423i −0.288675 + 0.500000i
\(4\) −36.2636 + 62.8104i −1.13324 + 1.96282i
\(5\) −11.8764 20.5705i −0.212452 0.367977i 0.740030 0.672574i \(-0.234811\pi\)
−0.952481 + 0.304597i \(0.901478\pi\)
\(6\) 92.0147 1.04347
\(7\) 30.6840 + 125.958i 0.236683 + 0.971587i
\(8\) 414.344 2.28895
\(9\) −40.5000 70.1481i −0.166667 0.288675i
\(10\) −121.423 + 210.310i −0.383972 + 0.665059i
\(11\) −232.763 + 403.157i −0.580006 + 1.00460i 0.415472 + 0.909606i \(0.363616\pi\)
−0.995478 + 0.0949934i \(0.969717\pi\)
\(12\) −326.372 565.293i −0.654275 1.13324i
\(13\) −1019.30 −1.67280 −0.836399 0.548121i \(-0.815343\pi\)
−0.836399 + 0.548121i \(0.815343\pi\)
\(14\) 958.395 915.570i 1.30685 1.24845i
\(15\) 213.775 0.245318
\(16\) −957.660 1658.72i −0.935215 1.61984i
\(17\) −280.878 + 486.496i −0.235720 + 0.408279i −0.959482 0.281771i \(-0.909078\pi\)
0.723762 + 0.690050i \(0.242411\pi\)
\(18\) −414.066 + 717.183i −0.301223 + 0.521734i
\(19\) 693.789 + 1201.68i 0.440903 + 0.763667i 0.997757 0.0669438i \(-0.0213248\pi\)
−0.556853 + 0.830611i \(0.687991\pi\)
\(20\) 1722.72 0.963032
\(21\) −1119.83 327.654i −0.554118 0.162131i
\(22\) 4759.47 2.09653
\(23\) −2056.81 3562.50i −0.810727 1.40422i −0.912356 0.409397i \(-0.865739\pi\)
0.101630 0.994822i \(-0.467594\pi\)
\(24\) −1864.55 + 3229.49i −0.660762 + 1.14447i
\(25\) 1280.40 2217.72i 0.409729 0.709671i
\(26\) 5210.59 + 9025.00i 1.51166 + 2.61827i
\(27\) 729.000 0.192450
\(28\) −9024.20 2640.42i −2.17527 0.636471i
\(29\) −2381.37 −0.525814 −0.262907 0.964821i \(-0.584681\pi\)
−0.262907 + 0.964821i \(0.584681\pi\)
\(30\) −1092.80 1892.79i −0.221686 0.383972i
\(31\) −1475.33 + 2555.34i −0.275730 + 0.477579i −0.970319 0.241828i \(-0.922253\pi\)
0.694589 + 0.719407i \(0.255586\pi\)
\(32\) −3161.47 + 5475.84i −0.545776 + 0.945313i
\(33\) −2094.87 3628.42i −0.334866 0.580006i
\(34\) 5743.32 0.852051
\(35\) 2226.61 2127.12i 0.307238 0.293509i
\(36\) 5874.70 0.755491
\(37\) 4954.48 + 8581.40i 0.594968 + 1.03051i 0.993551 + 0.113382i \(0.0361685\pi\)
−0.398584 + 0.917132i \(0.630498\pi\)
\(38\) 7093.20 12285.8i 0.796862 1.38021i
\(39\) 4586.85 7944.66i 0.482895 0.836399i
\(40\) −4920.92 8523.28i −0.486291 0.842280i
\(41\) −4477.13 −0.415949 −0.207974 0.978134i \(-0.566687\pi\)
−0.207974 + 0.978134i \(0.566687\pi\)
\(42\) 2823.38 + 11590.0i 0.246971 + 1.01382i
\(43\) 5181.48 0.427349 0.213675 0.976905i \(-0.431457\pi\)
0.213675 + 0.976905i \(0.431457\pi\)
\(44\) −16881.6 29239.9i −1.31457 2.27690i
\(45\) −961.989 + 1666.21i −0.0708172 + 0.122659i
\(46\) −21028.5 + 36422.5i −1.46526 + 2.53790i
\(47\) 1560.80 + 2703.38i 0.103063 + 0.178510i 0.912945 0.408082i \(-0.133802\pi\)
−0.809882 + 0.586592i \(0.800469\pi\)
\(48\) 17237.9 1.07989
\(49\) −14924.0 + 7729.82i −0.887962 + 0.459917i
\(50\) −26181.3 −1.48104
\(51\) −2527.91 4378.46i −0.136093 0.235720i
\(52\) 36963.5 64022.6i 1.89568 3.28341i
\(53\) −570.499 + 988.133i −0.0278975 + 0.0483198i −0.879637 0.475645i \(-0.842215\pi\)
0.851740 + 0.523965i \(0.175548\pi\)
\(54\) −3726.59 6454.65i −0.173911 0.301223i
\(55\) 11057.6 0.492893
\(56\) 12713.7 + 52190.0i 0.541755 + 2.22391i
\(57\) −12488.2 −0.509111
\(58\) 12173.4 + 21085.0i 0.475162 + 0.823005i
\(59\) −13748.5 + 23813.2i −0.514194 + 0.890610i 0.485671 + 0.874142i \(0.338575\pi\)
−0.999864 + 0.0164678i \(0.994758\pi\)
\(60\) −7752.26 + 13427.3i −0.278003 + 0.481516i
\(61\) 10551.8 + 18276.2i 0.363078 + 0.628870i 0.988466 0.151444i \(-0.0483924\pi\)
−0.625387 + 0.780314i \(0.715059\pi\)
\(62\) 30167.1 0.996676
\(63\) 7593.03 7253.74i 0.241026 0.230256i
\(64\) 3354.67 0.102376
\(65\) 12105.6 + 20967.6i 0.355389 + 0.615551i
\(66\) −21417.6 + 37096.4i −0.605217 + 1.04827i
\(67\) 27794.2 48141.0i 0.756428 1.31017i −0.188234 0.982124i \(-0.560276\pi\)
0.944661 0.328047i \(-0.106390\pi\)
\(68\) −20371.3 35284.2i −0.534253 0.925353i
\(69\) 37022.6 0.936146
\(70\) −30216.0 8841.02i −0.737043 0.215654i
\(71\) −6076.90 −0.143066 −0.0715330 0.997438i \(-0.522789\pi\)
−0.0715330 + 0.997438i \(0.522789\pi\)
\(72\) −16780.9 29065.4i −0.381491 0.660762i
\(73\) 8389.82 14531.6i 0.184266 0.319158i −0.759063 0.651017i \(-0.774343\pi\)
0.943329 + 0.331859i \(0.107676\pi\)
\(74\) 50653.8 87735.0i 1.07531 1.86249i
\(75\) 11523.6 + 19959.5i 0.236557 + 0.409729i
\(76\) −100637. −1.99859
\(77\) −57923.1 16947.9i −1.11333 0.325754i
\(78\) −93790.5 −1.74551
\(79\) 2422.63 + 4196.12i 0.0436737 + 0.0756450i 0.887036 0.461700i \(-0.152760\pi\)
−0.843362 + 0.537345i \(0.819427\pi\)
\(80\) −22747.1 + 39399.2i −0.397376 + 0.688275i
\(81\) −3280.50 + 5681.99i −0.0555556 + 0.0962250i
\(82\) 22886.7 + 39641.0i 0.375880 + 0.651043i
\(83\) 60145.4 0.958313 0.479156 0.877730i \(-0.340943\pi\)
0.479156 + 0.877730i \(0.340943\pi\)
\(84\) 61189.0 58454.8i 0.946182 0.903903i
\(85\) 13343.3 0.200316
\(86\) −26487.4 45877.5i −0.386183 0.668888i
\(87\) 10716.2 18561.0i 0.151790 0.262907i
\(88\) −96443.9 + 167046.i −1.32760 + 2.29947i
\(89\) 31248.7 + 54124.4i 0.418174 + 0.724299i 0.995756 0.0920340i \(-0.0293368\pi\)
−0.577582 + 0.816333i \(0.696004\pi\)
\(90\) 19670.5 0.255981
\(91\) −31276.2 128389.i −0.395923 1.62527i
\(92\) 298349. 3.67498
\(93\) −13277.9 22998.1i −0.159193 0.275730i
\(94\) 15957.4 27639.0i 0.186269 0.322628i
\(95\) 16479.4 28543.2i 0.187341 0.324485i
\(96\) −28453.3 49282.5i −0.315104 0.545776i
\(97\) −63653.8 −0.686903 −0.343451 0.939170i \(-0.611596\pi\)
−0.343451 + 0.939170i \(0.611596\pi\)
\(98\) 144731. + 92624.4i 1.52229 + 0.974227i
\(99\) 37707.6 0.386670
\(100\) 92863.9 + 160845.i 0.928639 + 1.60845i
\(101\) −92311.4 + 159888.i −0.900434 + 1.55960i −0.0735022 + 0.997295i \(0.523418\pi\)
−0.826932 + 0.562302i \(0.809916\pi\)
\(102\) −25844.9 + 44764.7i −0.245966 + 0.426026i
\(103\) −26021.9 45071.2i −0.241683 0.418607i 0.719511 0.694481i \(-0.244366\pi\)
−0.961194 + 0.275874i \(0.911033\pi\)
\(104\) −422341. −3.82895
\(105\) 6559.49 + 26926.8i 0.0580627 + 0.238348i
\(106\) 11665.4 0.100840
\(107\) −24088.9 41723.2i −0.203403 0.352304i 0.746220 0.665700i \(-0.231867\pi\)
−0.949623 + 0.313395i \(0.898534\pi\)
\(108\) −26436.2 + 45788.8i −0.218092 + 0.377746i
\(109\) 18217.8 31554.1i 0.146869 0.254384i −0.783200 0.621770i \(-0.786414\pi\)
0.930069 + 0.367386i \(0.119747\pi\)
\(110\) −56525.4 97904.9i −0.445412 0.771476i
\(111\) −89180.6 −0.687010
\(112\) 179544. 171521.i 1.35247 1.29203i
\(113\) −96711.1 −0.712492 −0.356246 0.934392i \(-0.615944\pi\)
−0.356246 + 0.934392i \(0.615944\pi\)
\(114\) 63838.8 + 110572.i 0.460068 + 0.796862i
\(115\) −48855.0 + 84619.4i −0.344480 + 0.596658i
\(116\) 86357.1 149575.i 0.595872 1.03208i
\(117\) 41281.6 + 71501.9i 0.278800 + 0.482895i
\(118\) 281126. 1.85864
\(119\) −69896.6 20451.3i −0.452469 0.132390i
\(120\) 88576.5 0.561520
\(121\) −27831.7 48206.0i −0.172813 0.299321i
\(122\) 107880. 186853.i 0.656206 1.13658i
\(123\) 20147.1 34895.7i 0.120074 0.207974i
\(124\) −107001. 185332.i −0.624935 1.08242i
\(125\) −135054. −0.773093
\(126\) −103040. 30149.0i −0.578204 0.169179i
\(127\) 23322.9 0.128314 0.0641568 0.997940i \(-0.479564\pi\)
0.0641568 + 0.997940i \(0.479564\pi\)
\(128\) 84018.4 + 145524.i 0.453262 + 0.785073i
\(129\) −23316.7 + 40385.7i −0.123365 + 0.213675i
\(130\) 123766. 214369.i 0.642308 1.11251i
\(131\) 169379. + 293373.i 0.862345 + 1.49363i 0.869659 + 0.493653i \(0.164339\pi\)
−0.00731374 + 0.999973i \(0.502328\pi\)
\(132\) 303870. 1.51793
\(133\) −130073. + 124261.i −0.637614 + 0.609123i
\(134\) −568328. −2.73424
\(135\) −8657.90 14995.9i −0.0408863 0.0708172i
\(136\) −116380. + 201576.i −0.539550 + 0.934528i
\(137\) 31438.4 54452.9i 0.143106 0.247867i −0.785559 0.618787i \(-0.787624\pi\)
0.928665 + 0.370920i \(0.120958\pi\)
\(138\) −189257. 327802.i −0.845967 1.46526i
\(139\) 211927. 0.930356 0.465178 0.885217i \(-0.345990\pi\)
0.465178 + 0.885217i \(0.345990\pi\)
\(140\) 52860.2 + 216991.i 0.227934 + 0.935669i
\(141\) −28094.3 −0.119007
\(142\) 31064.7 + 53805.6i 0.129284 + 0.223927i
\(143\) 237255. 410938.i 0.970233 1.68049i
\(144\) −77570.5 + 134356.i −0.311738 + 0.539947i
\(145\) 28282.2 + 48986.1i 0.111710 + 0.193488i
\(146\) −171553. −0.666062
\(147\) 6909.92 151105.i 0.0263742 0.576748i
\(148\) −718668. −2.69696
\(149\) −70136.4 121480.i −0.258808 0.448269i 0.707115 0.707099i \(-0.249996\pi\)
−0.965923 + 0.258830i \(0.916663\pi\)
\(150\) 117816. 204063.i 0.427538 0.740518i
\(151\) 81995.7 142021.i 0.292650 0.506885i −0.681785 0.731552i \(-0.738796\pi\)
0.974436 + 0.224667i \(0.0721296\pi\)
\(152\) 287467. + 497908.i 1.00920 + 1.74799i
\(153\) 45502.3 0.157147
\(154\) 146040. + 599495.i 0.496214 + 2.03696i
\(155\) 70086.4 0.234317
\(156\) 332671. + 576203.i 1.09447 + 1.89568i
\(157\) −278272. + 481981.i −0.900990 + 1.56056i −0.0747781 + 0.997200i \(0.523825\pi\)
−0.826212 + 0.563360i \(0.809508\pi\)
\(158\) 24768.6 42900.5i 0.0789331 0.136716i
\(159\) −5134.49 8893.19i −0.0161066 0.0278975i
\(160\) 150188. 0.463804
\(161\) 385615. 368384.i 1.17244 1.12005i
\(162\) 67078.7 0.200815
\(163\) 9863.32 + 17083.8i 0.0290773 + 0.0503634i 0.880198 0.474607i \(-0.157410\pi\)
−0.851121 + 0.524970i \(0.824076\pi\)
\(164\) 162357. 281210.i 0.471368 0.816434i
\(165\) −49759.0 + 86185.1i −0.142286 + 0.246446i
\(166\) −307459. 532534.i −0.865998 1.49995i
\(167\) 94776.2 0.262971 0.131486 0.991318i \(-0.458025\pi\)
0.131486 + 0.991318i \(0.458025\pi\)
\(168\) −463993. 135761.i −1.26835 0.371110i
\(169\) 667679. 1.79825
\(170\) −68210.0 118143.i −0.181020 0.313535i
\(171\) 56196.9 97335.9i 0.146968 0.254556i
\(172\) −187899. + 325451.i −0.484288 + 0.838812i
\(173\) −169420. 293445.i −0.430379 0.745437i 0.566527 0.824043i \(-0.308287\pi\)
−0.996906 + 0.0786055i \(0.974953\pi\)
\(174\) −219121. −0.548670
\(175\) 318628. + 93228.6i 0.786483 + 0.230120i
\(176\) 891631. 2.16972
\(177\) −123737. 214319.i −0.296870 0.514194i
\(178\) 319482. 553360.i 0.755782 1.30905i
\(179\) −388096. + 672203.i −0.905330 + 1.56808i −0.0848573 + 0.996393i \(0.527043\pi\)
−0.820473 + 0.571685i \(0.806290\pi\)
\(180\) −69770.3 120846.i −0.160505 0.278003i
\(181\) −132697. −0.301067 −0.150534 0.988605i \(-0.548099\pi\)
−0.150534 + 0.988605i \(0.548099\pi\)
\(182\) −976892. + 933240.i −2.18609 + 2.08841i
\(183\) −189932. −0.419247
\(184\) −852226. 1.47610e6i −1.85571 3.21418i
\(185\) 117683. 203833.i 0.252804 0.437869i
\(186\) −135752. + 235129.i −0.287715 + 0.498338i
\(187\) −130756. 226476.i −0.273438 0.473608i
\(188\) −226400. −0.467178
\(189\) 22368.7 + 91823.6i 0.0455497 + 0.186982i
\(190\) −336967. −0.677178
\(191\) −3318.71 5748.17i −0.00658242 0.0114011i 0.862715 0.505690i \(-0.168762\pi\)
−0.869298 + 0.494289i \(0.835429\pi\)
\(192\) −15096.0 + 26147.0i −0.0295535 + 0.0511882i
\(193\) −226295. + 391954.i −0.437302 + 0.757430i −0.997480 0.0709425i \(-0.977399\pi\)
0.560178 + 0.828372i \(0.310733\pi\)
\(194\) 325394. + 563598.i 0.620733 + 1.07514i
\(195\) −217901. −0.410368
\(196\) 55684.1 1.21769e6i 0.103536 2.26411i
\(197\) 816952. 1.49979 0.749896 0.661556i \(-0.230104\pi\)
0.749896 + 0.661556i \(0.230104\pi\)
\(198\) −192759. 333868.i −0.349422 0.605217i
\(199\) −403208. + 698378.i −0.721767 + 1.25014i 0.238524 + 0.971137i \(0.423336\pi\)
−0.960291 + 0.279000i \(0.909997\pi\)
\(200\) 530526. 918899.i 0.937847 1.62440i
\(201\) 250148. + 433269.i 0.436724 + 0.756428i
\(202\) 1.88756e6 3.25478
\(203\) −73070.2 299954.i −0.124451 0.510874i
\(204\) 366684. 0.616902
\(205\) 53172.2 + 92096.9i 0.0883690 + 0.153060i
\(206\) −266044. + 460801.i −0.436802 + 0.756564i
\(207\) −166602. + 288562.i −0.270242 + 0.468073i
\(208\) 976143. + 1.69073e6i 1.56443 + 2.70966i
\(209\) −645954. −1.02291
\(210\) 204881. 195726.i 0.320593 0.306267i
\(211\) 68773.9 0.106345 0.0531726 0.998585i \(-0.483067\pi\)
0.0531726 + 0.998585i \(0.483067\pi\)
\(212\) −41376.6 71666.5i −0.0632289 0.109516i
\(213\) 27346.1 47364.8i 0.0412996 0.0715330i
\(214\) −246281. + 426572.i −0.367618 + 0.636734i
\(215\) −61537.4 106586.i −0.0907911 0.157255i
\(216\) 302057. 0.440508
\(217\) −367136. 107421.i −0.529270 0.154861i
\(218\) −372512. −0.530883
\(219\) 75508.4 + 130784.i 0.106386 + 0.184266i
\(220\) −400987. + 694529.i −0.558564 + 0.967461i
\(221\) 286299. 495885.i 0.394312 0.682968i
\(222\) 455884. + 789615.i 0.620829 + 1.07531i
\(223\) −620227. −0.835196 −0.417598 0.908632i \(-0.637128\pi\)
−0.417598 + 0.908632i \(0.637128\pi\)
\(224\) −786734. 230193.i −1.04763 0.306530i
\(225\) −207425. −0.273152
\(226\) 494380. + 856291.i 0.643857 + 1.11519i
\(227\) −501116. + 867959.i −0.645467 + 1.11798i 0.338727 + 0.940885i \(0.390004\pi\)
−0.984193 + 0.177096i \(0.943330\pi\)
\(228\) 452867. 784388.i 0.576944 0.999296i
\(229\) −442931. 767178.i −0.558145 0.966735i −0.997651 0.0684960i \(-0.978180\pi\)
0.439506 0.898239i \(-0.355153\pi\)
\(230\) 998973. 1.24519
\(231\) 392750. 375200.i 0.484269 0.462629i
\(232\) −986707. −1.20356
\(233\) −298082. 516293.i −0.359704 0.623026i 0.628207 0.778046i \(-0.283789\pi\)
−0.987911 + 0.155020i \(0.950456\pi\)
\(234\) 422057. 731025.i 0.503886 0.872755i
\(235\) 37073.3 64212.9i 0.0437917 0.0758495i
\(236\) −997143. 1.72710e6i −1.16541 2.01854i
\(237\) −43607.4 −0.0504300
\(238\) 176228. + 723419.i 0.201666 + 0.827842i
\(239\) 743111. 0.841509 0.420754 0.907175i \(-0.361765\pi\)
0.420754 + 0.907175i \(0.361765\pi\)
\(240\) −204724. 354593.i −0.229425 0.397376i
\(241\) 587419. 1.01744e6i 0.651487 1.12841i −0.331276 0.943534i \(-0.607479\pi\)
0.982762 0.184874i \(-0.0591877\pi\)
\(242\) −284548. + 492851.i −0.312332 + 0.540975i
\(243\) −29524.5 51137.9i −0.0320750 0.0555556i
\(244\) −1.53058e6 −1.64582
\(245\) 336250. + 215192.i 0.357888 + 0.229040i
\(246\) −411961. −0.434029
\(247\) −707179. 1.22487e6i −0.737542 1.27746i
\(248\) −611293. + 1.05879e6i −0.631132 + 1.09315i
\(249\) −270654. + 468787.i −0.276641 + 0.479156i
\(250\) 690385. + 1.19578e6i 0.698621 + 1.21005i
\(251\) 352992. 0.353655 0.176828 0.984242i \(-0.443416\pi\)
0.176828 + 0.984242i \(0.443416\pi\)
\(252\) 180260. + 739967.i 0.178812 + 0.734025i
\(253\) 1.91500e6 1.88090
\(254\) −119225. 206504.i −0.115953 0.200837i
\(255\) −60044.9 + 104001.i −0.0578263 + 0.100158i
\(256\) 912666. 1.58078e6i 0.870386 1.50755i
\(257\) −5006.34 8671.23i −0.00472811 0.00818932i 0.863652 0.504089i \(-0.168172\pi\)
−0.868380 + 0.495900i \(0.834838\pi\)
\(258\) 476773. 0.445925
\(259\) −928875. + 887369.i −0.860415 + 0.821968i
\(260\) −1.75597e6 −1.61096
\(261\) 96445.6 + 167049.i 0.0876357 + 0.151790i
\(262\) 1.73171e6 2.99940e6i 1.55855 2.69949i
\(263\) −840900. + 1.45648e6i −0.749644 + 1.29842i 0.198349 + 0.980131i \(0.436442\pi\)
−0.947993 + 0.318290i \(0.896891\pi\)
\(264\) −867995. 1.50341e6i −0.766492 1.32760i
\(265\) 27101.9 0.0237075
\(266\) 1.76514e6 + 516469.i 1.52959 + 0.447549i
\(267\) −562477. −0.482866
\(268\) 2.01584e6 + 3.49153e6i 1.71442 + 2.96947i
\(269\) 958587. 1.66032e6i 0.807702 1.39898i −0.106750 0.994286i \(-0.534045\pi\)
0.914452 0.404694i \(-0.132622\pi\)
\(270\) −88517.1 + 153316.i −0.0738955 + 0.127991i
\(271\) −1.14500e6 1.98320e6i −0.947069 1.64037i −0.751554 0.659672i \(-0.770695\pi\)
−0.195515 0.980701i \(-0.562638\pi\)
\(272\) 1.07594e6 0.881795
\(273\) 1.14144e6 + 333977.i 0.926928 + 0.271213i
\(274\) −642843. −0.517283
\(275\) 596060. + 1.03241e6i 0.475290 + 0.823226i
\(276\) −1.34257e6 + 2.32540e6i −1.06088 + 1.83749i
\(277\) 197401. 341908.i 0.154579 0.267738i −0.778327 0.627859i \(-0.783931\pi\)
0.932906 + 0.360121i \(0.117265\pi\)
\(278\) −1.08335e6 1.87642e6i −0.840734 1.45619i
\(279\) 239003. 0.183820
\(280\) 922584. 881359.i 0.703251 0.671827i
\(281\) −1.77699e6 −1.34252 −0.671259 0.741223i \(-0.734246\pi\)
−0.671259 + 0.741223i \(0.734246\pi\)
\(282\) 143616. + 248751.i 0.107543 + 0.186269i
\(283\) −607622. + 1.05243e6i −0.450991 + 0.781139i −0.998448 0.0556949i \(-0.982263\pi\)
0.547457 + 0.836834i \(0.315596\pi\)
\(284\) 220370. 381693.i 0.162128 0.280813i
\(285\) 148315. + 256889.i 0.108162 + 0.187341i
\(286\) −4.85133e6 −3.50708
\(287\) −137376. 563931.i −0.0984481 0.404130i
\(288\) 512159. 0.363851
\(289\) 552143. + 956340.i 0.388872 + 0.673547i
\(290\) 289153. 500827.i 0.201898 0.349698i
\(291\) 286442. 496132.i 0.198292 0.343451i
\(292\) 608490. + 1.05393e6i 0.417634 + 0.723364i
\(293\) −1.48897e6 −1.01325 −0.506627 0.862165i \(-0.669108\pi\)
−0.506627 + 0.862165i \(0.669108\pi\)
\(294\) −1.37323e6 + 711257.i −0.926560 + 0.479908i
\(295\) 653133. 0.436965
\(296\) 2.05286e6 + 3.55565e6i 1.36185 + 2.35879i
\(297\) −169684. + 293902.i −0.111622 + 0.193335i
\(298\) −717065. + 1.24199e6i −0.467754 + 0.810174i
\(299\) 2.09651e6 + 3.63125e6i 1.35618 + 2.34898i
\(300\) −1.67155e6 −1.07230
\(301\) 158989. + 652651.i 0.101146 + 0.415207i
\(302\) −1.67662e6 −1.05784
\(303\) −830803. 1.43899e6i −0.519866 0.900434i
\(304\) 1.32883e6 2.30160e6i 0.824679 1.42839i
\(305\) 250634. 434111.i 0.154273 0.267209i
\(306\) −232604. 402883.i −0.142009 0.245966i
\(307\) 2.03109e6 1.22994 0.614968 0.788552i \(-0.289169\pi\)
0.614968 + 0.788552i \(0.289169\pi\)
\(308\) 3.16501e6 3.02358e6i 1.90107 1.81612i
\(309\) 468394. 0.279071
\(310\) −358276. 620553.i −0.211745 0.366754i
\(311\) −144892. + 250961.i −0.0849463 + 0.147131i −0.905368 0.424627i \(-0.860405\pi\)
0.820422 + 0.571758i \(0.193739\pi\)
\(312\) 1.90053e6 3.29182e6i 1.10532 1.91447i
\(313\) −109105. 188976.i −0.0629484 0.109030i 0.832834 0.553523i \(-0.186717\pi\)
−0.895782 + 0.444493i \(0.853384\pi\)
\(314\) 5.69002e6 3.25679
\(315\) −239391. 70044.3i −0.135935 0.0397737i
\(316\) −351413. −0.197970
\(317\) −645315. 1.11772e6i −0.360681 0.624718i 0.627392 0.778704i \(-0.284122\pi\)
−0.988073 + 0.153985i \(0.950789\pi\)
\(318\) −52494.2 + 90922.7i −0.0291101 + 0.0504202i
\(319\) 554296. 960068.i 0.304975 0.528233i
\(320\) −39841.4 69007.3i −0.0217500 0.0376721i
\(321\) 433600. 0.234870
\(322\) −5.23295e6 1.53113e6i −2.81259 0.822947i
\(323\) −779481. −0.415719
\(324\) −237925. 412099.i −0.125915 0.218092i
\(325\) −1.30511e6 + 2.26052e6i −0.685393 + 1.18714i
\(326\) 100841. 174662.i 0.0525526 0.0910237i
\(327\) 163960. + 283987.i 0.0847947 + 0.146869i
\(328\) −1.85507e6 −0.952084
\(329\) −292621. + 279546.i −0.149045 + 0.142385i
\(330\) 1.01746e6 0.514318
\(331\) 1.74280e6 + 3.01862e6i 0.874336 + 1.51439i 0.857469 + 0.514536i \(0.172036\pi\)
0.0168673 + 0.999858i \(0.494631\pi\)
\(332\) −2.18109e6 + 3.77776e6i −1.08600 + 1.88100i
\(333\) 401313. 695094.i 0.198323 0.343505i
\(334\) −484489. 839160.i −0.237639 0.411603i
\(335\) −1.32038e6 −0.642817
\(336\) 528928. + 2.17125e6i 0.255593 + 1.04921i
\(337\) 249198. 0.119528 0.0597641 0.998213i \(-0.480965\pi\)
0.0597641 + 0.998213i \(0.480965\pi\)
\(338\) −3.41313e6 5.91171e6i −1.62503 2.81463i
\(339\) 435200. 753788.i 0.205679 0.356246i
\(340\) −483876. + 838098.i −0.227006 + 0.393186i
\(341\) −686803. 1.18958e6i −0.319850 0.553997i
\(342\) −1.14910e6 −0.531241
\(343\) −1.43156e6 1.64262e6i −0.657015 0.753878i
\(344\) 2.14692e6 0.978180
\(345\) −439695. 761574.i −0.198886 0.344480i
\(346\) −1.73213e6 + 3.00014e6i −0.777840 + 1.34726i
\(347\) 753007. 1.30425e6i 0.335719 0.581482i −0.647904 0.761722i \(-0.724354\pi\)
0.983623 + 0.180240i \(0.0576875\pi\)
\(348\) 777214. + 1.34617e6i 0.344027 + 0.595872i
\(349\) 1.54370e6 0.678423 0.339212 0.940710i \(-0.389840\pi\)
0.339212 + 0.940710i \(0.389840\pi\)
\(350\) −803348. 3.29775e6i −0.350537 1.43896i
\(351\) −743070. −0.321930
\(352\) −1.47175e6 2.54914e6i −0.633107 1.09657i
\(353\) 838978. 1.45315e6i 0.358355 0.620689i −0.629331 0.777137i \(-0.716671\pi\)
0.987686 + 0.156448i \(0.0500043\pi\)
\(354\) −1.26507e6 + 2.19116e6i −0.536544 + 0.929322i
\(355\) 72171.8 + 125005.i 0.0303946 + 0.0526450i
\(356\) −4.53276e6 −1.89556
\(357\) 473937. 452760.i 0.196811 0.188017i
\(358\) 7.93568e6 3.27248
\(359\) 1.24987e6 + 2.16483e6i 0.511832 + 0.886519i 0.999906 + 0.0137165i \(0.00436623\pi\)
−0.488074 + 0.872802i \(0.662300\pi\)
\(360\) −398594. + 690385.i −0.162097 + 0.280760i
\(361\) 275363. 476943.i 0.111208 0.192619i
\(362\) 678335. + 1.17491e6i 0.272065 + 0.471231i
\(363\) 500971. 0.199547
\(364\) 9.19836e6 + 2.69138e6i 3.63879 + 1.06469i
\(365\) −398564. −0.156591
\(366\) 970917. + 1.68168e6i 0.378861 + 0.656206i
\(367\) 1.05371e6 1.82507e6i 0.408370 0.707318i −0.586337 0.810067i \(-0.699431\pi\)
0.994707 + 0.102749i \(0.0327639\pi\)
\(368\) −3.93945e6 + 6.82332e6i −1.51641 + 2.62649i
\(369\) 181324. + 314062.i 0.0693248 + 0.120074i
\(370\) −2.40634e6 −0.913804
\(371\) −141969. 41539.1i −0.0535498 0.0156683i
\(372\) 1.92602e6 0.721613
\(373\) −1.36612e6 2.36619e6i −0.508414 0.880599i −0.999953 0.00974333i \(-0.996899\pi\)
0.491538 0.870856i \(-0.336435\pi\)
\(374\) −1.33683e6 + 2.31546e6i −0.494194 + 0.855970i
\(375\) 607742. 1.05264e6i 0.223173 0.386547i
\(376\) 646706. + 1.12013e6i 0.235905 + 0.408600i
\(377\) 2.42733e6 0.879581
\(378\) 698670. 667450.i 0.251503 0.240264i
\(379\) −2.04295e6 −0.730567 −0.365283 0.930896i \(-0.619028\pi\)
−0.365283 + 0.930896i \(0.619028\pi\)
\(380\) 1.19521e6 + 2.07016e6i 0.424604 + 0.735436i
\(381\) −104953. + 181784.i −0.0370410 + 0.0641568i
\(382\) −33930.0 + 58768.4i −0.0118967 + 0.0206056i
\(383\) −754497. 1.30683e6i −0.262821 0.455220i 0.704169 0.710032i \(-0.251320\pi\)
−0.966991 + 0.254812i \(0.917986\pi\)
\(384\) −1.51233e6 −0.523382
\(385\) 339290. + 1.39279e6i 0.116659 + 0.478888i
\(386\) 4.62721e6 1.58071
\(387\) −209850. 363471.i −0.0712249 0.123365i
\(388\) 2.30832e6 3.99812e6i 0.778423 1.34827i
\(389\) −2.25033e6 + 3.89768e6i −0.754000 + 1.30597i 0.191870 + 0.981420i \(0.438545\pi\)
−0.945870 + 0.324546i \(0.894788\pi\)
\(390\) 1.11389e6 + 1.92932e6i 0.370837 + 0.642308i
\(391\) 2.31085e6 0.764417
\(392\) −6.18366e6 + 3.20280e6i −2.03250 + 1.05273i
\(393\) −3.04882e6 −0.995751
\(394\) −4.17620e6 7.23339e6i −1.35532 2.34748i
\(395\) 57544.3 99669.7i 0.0185571 0.0321418i
\(396\) −1.36741e6 + 2.36843e6i −0.438189 + 0.758966i
\(397\) 1.76068e6 + 3.04958e6i 0.560665 + 0.971101i 0.997439 + 0.0715292i \(0.0227879\pi\)
−0.436773 + 0.899572i \(0.643879\pi\)
\(398\) 8.24469e6 2.60895
\(399\) −383189. 1.57299e6i −0.120498 0.494646i
\(400\) −4.90476e6 −1.53274
\(401\) 453554. + 785578.i 0.140853 + 0.243965i 0.927818 0.373033i \(-0.121682\pi\)
−0.786965 + 0.616998i \(0.788349\pi\)
\(402\) 2.55748e6 4.42968e6i 0.789308 1.36712i
\(403\) 1.50380e6 2.60466e6i 0.461241 0.798893i
\(404\) −6.69508e6 1.15962e7i −2.04081 3.53479i
\(405\) 155842. 0.0472115
\(406\) −2.28230e6 + 2.18031e6i −0.687158 + 0.656453i
\(407\) −4.61287e6 −1.38034
\(408\) −1.04742e6 1.81419e6i −0.311509 0.539550i
\(409\) −2.15927e6 + 3.73996e6i −0.638260 + 1.10550i 0.347554 + 0.937660i \(0.387012\pi\)
−0.985814 + 0.167839i \(0.946321\pi\)
\(410\) 543624. 941585.i 0.159713 0.276630i
\(411\) 282945. + 490076.i 0.0826224 + 0.143106i
\(412\) 3.77458e6 1.09553
\(413\) −3.42133e6 1.00106e6i −0.987006 0.288791i
\(414\) 3.40662e6 0.976838
\(415\) −714311. 1.23722e6i −0.203595 0.352637i
\(416\) 3.22249e6 5.58152e6i 0.912974 1.58132i
\(417\) −953671. + 1.65181e6i −0.268571 + 0.465178i
\(418\) 3.30207e6 + 5.71935e6i 0.924369 + 1.60105i
\(419\) −1.52041e6 −0.423083 −0.211541 0.977369i \(-0.567848\pi\)
−0.211541 + 0.977369i \(0.567848\pi\)
\(420\) −1.92915e6 564457.i −0.533633 0.156138i
\(421\) −4.42050e6 −1.21553 −0.607766 0.794116i \(-0.707934\pi\)
−0.607766 + 0.794116i \(0.707934\pi\)
\(422\) −351567. 608932.i −0.0961008 0.166452i
\(423\) 126425. 218974.i 0.0343542 0.0595033i
\(424\) −236383. + 409427.i −0.0638559 + 0.110602i
\(425\) 719274. + 1.24582e6i 0.193162 + 0.334567i
\(426\) −559164. −0.149285
\(427\) −1.97827e6 + 1.88987e6i −0.525068 + 0.501605i
\(428\) 3.49420e6 0.922016
\(429\) 2.13530e6 + 3.69844e6i 0.560164 + 0.970233i
\(430\) −629150. + 1.08972e6i −0.164090 + 0.284213i
\(431\) 3.42393e6 5.93041e6i 0.887833 1.53777i 0.0454009 0.998969i \(-0.485543\pi\)
0.842432 0.538803i \(-0.181123\pi\)
\(432\) −698134. 1.20920e6i −0.179982 0.311738i
\(433\) −3.99328e6 −1.02355 −0.511777 0.859119i \(-0.671012\pi\)
−0.511777 + 0.859119i \(0.671012\pi\)
\(434\) 925648. + 3.79979e6i 0.235896 + 0.968357i
\(435\) −509079. −0.128992
\(436\) 1.32128e6 + 2.28853e6i 0.332874 + 0.576555i
\(437\) 2.85398e6 4.94324e6i 0.714904 1.23825i
\(438\) 771986. 1.33712e6i 0.192276 0.333031i
\(439\) −742783. 1.28654e6i −0.183950 0.318611i 0.759272 0.650773i \(-0.225555\pi\)
−0.943222 + 0.332162i \(0.892222\pi\)
\(440\) 4.58163e6 1.12821
\(441\) 1.14665e6 + 733830.i 0.280760 + 0.179680i
\(442\) −5.85416e6 −1.42531
\(443\) 2.81097e6 + 4.86874e6i 0.680528 + 1.17871i 0.974820 + 0.222994i \(0.0715831\pi\)
−0.294291 + 0.955716i \(0.595084\pi\)
\(444\) 3.23401e6 5.60146e6i 0.778545 1.34848i
\(445\) 742245. 1.28561e6i 0.177684 0.307757i
\(446\) 3.17055e6 + 5.49156e6i 0.754741 + 1.30725i
\(447\) 1.26246e6 0.298846
\(448\) 102935. + 422548.i 0.0242308 + 0.0994675i
\(449\) 1.94883e6 0.456202 0.228101 0.973637i \(-0.426748\pi\)
0.228101 + 0.973637i \(0.426748\pi\)
\(450\) 1.06034e6 + 1.83657e6i 0.246839 + 0.427538i
\(451\) 1.04211e6 1.80499e6i 0.241253 0.417862i
\(452\) 3.50709e6 6.07446e6i 0.807422 1.39850i
\(453\) 737961. + 1.27819e6i 0.168962 + 0.292650i
\(454\) 1.02467e7 2.33315
\(455\) −2.26959e6 + 2.16817e6i −0.513947 + 0.490982i
\(456\) −5.17441e6 −1.16533
\(457\) 1.33656e6 + 2.31499e6i 0.299363 + 0.518511i 0.975990 0.217814i \(-0.0698926\pi\)
−0.676628 + 0.736325i \(0.736559\pi\)
\(458\) −4.52846e6 + 7.84352e6i −1.00876 + 1.74722i
\(459\) −204760. + 354655.i −0.0453643 + 0.0785733i
\(460\) −3.54332e6 6.13720e6i −0.780756 1.35231i
\(461\) −4.65262e6 −1.01964 −0.509819 0.860282i \(-0.670287\pi\)
−0.509819 + 0.860282i \(0.670287\pi\)
\(462\) −5.32978e6 1.55946e6i −1.16173 0.339914i
\(463\) −5.18586e6 −1.12426 −0.562132 0.827047i \(-0.690019\pi\)
−0.562132 + 0.827047i \(0.690019\pi\)
\(464\) 2.28055e6 + 3.95002e6i 0.491749 + 0.851735i
\(465\) −315389. + 546269.i −0.0676416 + 0.117159i
\(466\) −3.04754e6 + 5.27850e6i −0.650107 + 1.12602i
\(467\) 2.52990e6 + 4.38192e6i 0.536799 + 0.929763i 0.999074 + 0.0430263i \(0.0136999\pi\)
−0.462275 + 0.886737i \(0.652967\pi\)
\(468\) −5.98808e6 −1.26378
\(469\) 6.91660e6 + 2.02375e6i 1.45198 + 0.424840i
\(470\) −758064. −0.158293
\(471\) −2.50444e6 4.33783e6i −0.520187 0.900990i
\(472\) −5.69662e6 + 9.86684e6i −1.17696 + 2.03856i
\(473\) −1.20606e6 + 2.08895e6i −0.247865 + 0.429315i
\(474\) 222918. + 386105.i 0.0455720 + 0.0789331i
\(475\) 3.55331e6 0.722603
\(476\) 3.81926e6 3.64860e6i 0.772612 0.738088i
\(477\) 92420.8 0.0185983
\(478\) −3.79873e6 6.57959e6i −0.760446 1.31713i
\(479\) 2.77543e6 4.80718e6i 0.552702 0.957308i −0.445377 0.895343i \(-0.646930\pi\)
0.998078 0.0619642i \(-0.0197365\pi\)
\(480\) −675845. + 1.17060e6i −0.133889 + 0.231902i
\(481\) −5.05010e6 8.74702e6i −0.995261 1.72384i
\(482\) −1.20114e7 −2.35491
\(483\) 1.13600e6 + 4.66330e6i 0.221570 + 0.909548i
\(484\) 4.03711e6 0.783353
\(485\) 755979. + 1.30939e6i 0.145934 + 0.252764i
\(486\) −301854. + 522827.i −0.0579704 + 0.100408i
\(487\) 3.43905e6 5.95661e6i 0.657077 1.13809i −0.324292 0.945957i \(-0.605126\pi\)
0.981369 0.192133i \(-0.0615405\pi\)
\(488\) 4.37206e6 + 7.57262e6i 0.831067 + 1.43945i
\(489\) −177540. −0.0335756
\(490\) 186449. 4.07724e6i 0.0350809 0.767143i
\(491\) 7.44459e6 1.39360 0.696798 0.717267i \(-0.254607\pi\)
0.696798 + 0.717267i \(0.254607\pi\)
\(492\) 1.46121e6 + 2.53089e6i 0.272145 + 0.471368i
\(493\) 668876. 1.15853e6i 0.123945 0.214679i
\(494\) −7.23009e6 + 1.25229e7i −1.33299 + 2.30880i
\(495\) −447831. 775666.i −0.0821488 0.142286i
\(496\) 5.65145e6 1.03147
\(497\) −186464. 765436.i −0.0338613 0.139001i
\(498\) 5.53426e6 0.999968
\(499\) −1.07665e6 1.86481e6i −0.193563 0.335261i 0.752866 0.658174i \(-0.228671\pi\)
−0.946428 + 0.322914i \(0.895338\pi\)
\(500\) 4.89754e6 8.48278e6i 0.876098 1.51745i
\(501\) −426493. + 738707.i −0.0759132 + 0.131486i
\(502\) −1.80447e6 3.12543e6i −0.319588 0.553542i
\(503\) 8.61012e6 1.51736 0.758681 0.651463i \(-0.225844\pi\)
0.758681 + 0.651463i \(0.225844\pi\)
\(504\) 3.14612e6 3.00554e6i 0.551695 0.527043i
\(505\) 4.38531e6 0.765195
\(506\) −9.78932e6 1.69556e7i −1.69972 2.94399i
\(507\) −3.00456e6 + 5.20404e6i −0.519111 + 0.899127i
\(508\) −845771. + 1.46492e6i −0.145410 + 0.251857i
\(509\) −1.67100e6 2.89426e6i −0.285879 0.495157i 0.686943 0.726712i \(-0.258952\pi\)
−0.972822 + 0.231554i \(0.925619\pi\)
\(510\) 1.22778e6 0.209024
\(511\) 2.08781e6 + 610879.i 0.353703 + 0.103491i
\(512\) −1.32848e7 −2.23964
\(513\) 505772. + 876023.i 0.0848519 + 0.146968i
\(514\) −51184.1 + 88653.4i −0.00854529 + 0.0148009i
\(515\) −618093. + 1.07057e6i −0.102692 + 0.177867i
\(516\) −1.69109e6 2.92906e6i −0.279604 0.484288i
\(517\) −1.45318e6 −0.239108
\(518\) 1.26052e7 + 3.68820e6i 2.06408 + 0.603936i
\(519\) 3.04957e6 0.496958
\(520\) 5.01589e6 + 8.68777e6i 0.813466 + 1.40896i
\(521\) 1.34152e6 2.32359e6i 0.216523 0.375029i −0.737220 0.675653i \(-0.763862\pi\)
0.953743 + 0.300624i \(0.0971950\pi\)
\(522\) 986046. 1.70788e6i 0.158387 0.274335i
\(523\) 2.71178e6 + 4.69694e6i 0.433511 + 0.750863i 0.997173 0.0751429i \(-0.0239413\pi\)
−0.563662 + 0.826005i \(0.690608\pi\)
\(524\) −2.45692e7 −3.90897
\(525\) −2.16047e6 + 2.06393e6i −0.342098 + 0.326811i
\(526\) 1.71945e7 2.70972
\(527\) −828775. 1.43548e6i −0.129990 0.225149i
\(528\) −4.01234e6 + 6.94958e6i −0.626344 + 1.08486i
\(529\) −5.24276e6 + 9.08072e6i −0.814555 + 1.41085i
\(530\) −138543. 239963.i −0.0214237 0.0371070i
\(531\) 2.22726e6 0.342796
\(532\) −3.08795e6 1.26761e7i −0.473033 1.94181i
\(533\) 4.56353e6 0.695798
\(534\) 2.87534e6 + 4.98024e6i 0.436351 + 0.755782i
\(535\) −572179. + 991044.i −0.0864266 + 0.149695i
\(536\) 1.15164e7 1.99469e7i 1.73142 2.99891i
\(537\) −3.49287e6 6.04983e6i −0.522693 0.905330i
\(538\) −1.96009e7 −2.91958
\(539\) 357417. 7.81593e6i 0.0529911 1.15880i
\(540\) 1.25587e6 0.185336
\(541\) −1.09228e6 1.89188e6i −0.160450 0.277908i 0.774580 0.632476i \(-0.217961\pi\)
−0.935030 + 0.354568i \(0.884628\pi\)
\(542\) −1.17063e7 + 2.02759e7i −1.71168 + 2.96471i
\(543\) 597135. 1.03427e6i 0.0869106 0.150534i
\(544\) −1.77598e6 3.07609e6i −0.257301 0.445658i
\(545\) −865447. −0.124810
\(546\) −2.87787e6 1.18137e7i −0.413133 1.69592i
\(547\) −691437. −0.0988062 −0.0494031 0.998779i \(-0.515732\pi\)
−0.0494031 + 0.998779i \(0.515732\pi\)
\(548\) 2.28014e6 + 3.94931e6i 0.324347 + 0.561785i
\(549\) 854693. 1.48037e6i 0.121026 0.209623i
\(550\) 6.09403e6 1.05552e7i 0.859010 1.48785i
\(551\) −1.65217e6 2.86164e6i −0.231833 0.401547i
\(552\) 1.53401e7 2.14279
\(553\) −454200. + 433904.i −0.0631589 + 0.0603367i
\(554\) −4.03639e6 −0.558752
\(555\) 1.05914e6 + 1.83449e6i 0.145956 + 0.252804i
\(556\) −7.68523e6 + 1.33112e7i −1.05431 + 1.82612i
\(557\) −2.73828e6 + 4.74284e6i −0.373973 + 0.647740i −0.990173 0.139850i \(-0.955338\pi\)
0.616200 + 0.787590i \(0.288671\pi\)
\(558\) −1.22177e6 2.11616e6i −0.166113 0.287715i
\(559\) −5.28149e6 −0.714869
\(560\) −5.66063e6 1.65626e6i −0.762771 0.223182i
\(561\) 2.35361e6 0.315739
\(562\) 9.08386e6 + 1.57337e7i 1.21319 + 2.10131i
\(563\) −199488. + 345523.i −0.0265244 + 0.0459416i −0.878983 0.476853i \(-0.841777\pi\)
0.852459 + 0.522795i \(0.175111\pi\)
\(564\) 1.01880e6 1.76462e6i 0.134863 0.233589i
\(565\) 1.14858e6 + 1.98940e6i 0.151370 + 0.262181i
\(566\) 1.24245e7 1.63019
\(567\) −816353. 238860.i −0.106640 0.0312022i
\(568\) −2.51793e6 −0.327471
\(569\) 2.11556e6 + 3.66426e6i 0.273934 + 0.474467i 0.969866 0.243641i \(-0.0783418\pi\)
−0.695932 + 0.718108i \(0.745008\pi\)
\(570\) 1.51635e6 2.62640e6i 0.195485 0.338589i
\(571\) −4.37551e6 + 7.57861e6i −0.561615 + 0.972746i 0.435741 + 0.900072i \(0.356486\pi\)
−0.997356 + 0.0726734i \(0.976847\pi\)
\(572\) 1.72075e7 + 2.98042e7i 2.19901 + 3.80879i
\(573\) 59736.7 0.00760072
\(574\) −4.29085e6 + 4.09912e6i −0.543581 + 0.519291i
\(575\) −1.05342e7 −1.32871
\(576\) −135864. 235323.i −0.0170627 0.0295535i
\(577\) 883558. 1.53037e6i 0.110483 0.191362i −0.805482 0.592620i \(-0.798094\pi\)
0.915965 + 0.401258i \(0.131427\pi\)
\(578\) 5.64503e6 9.77748e6i 0.702824 1.21733i
\(579\) −2.03665e6 3.52759e6i −0.252477 0.437302i
\(580\) −4.10245e6 −0.506376
\(581\) 1.84550e6 + 7.57581e6i 0.226817 + 0.931084i
\(582\) −5.85709e6 −0.716761
\(583\) −265582. 460001.i −0.0323614 0.0560516i
\(584\) 3.47627e6 6.02107e6i 0.421775 0.730536i
\(585\) 980555. 1.69837e6i 0.118463 0.205184i
\(586\) 7.61153e6 + 1.31835e7i 0.915646 + 1.58595i
\(587\) −8.65009e6 −1.03616 −0.518078 0.855333i \(-0.673352\pi\)
−0.518078 + 0.855333i \(0.673352\pi\)
\(588\) 9.24039e6 + 5.91363e6i 1.10217 + 0.705360i
\(589\) −4.09426e6 −0.486281
\(590\) −3.33877e6 5.78292e6i −0.394872 0.683939i
\(591\) −3.67628e6 + 6.36751e6i −0.432953 + 0.749896i
\(592\) 9.48941e6 1.64361e7i 1.11285 1.92750i
\(593\) −7.72568e6 1.33813e7i −0.902194 1.56265i −0.824640 0.565659i \(-0.808622\pi\)
−0.0775549 0.996988i \(-0.524711\pi\)
\(594\) 3.46965e6 0.403478
\(595\) 409427. + 1.68070e6i 0.0474115 + 0.194625i
\(596\) 1.01736e7 1.17316
\(597\) −3.62888e6 6.28540e6i −0.416712 0.721767i
\(598\) 2.14344e7 3.71254e7i 2.45108 4.24540i
\(599\) 1.92400e6 3.33247e6i 0.219098 0.379489i −0.735434 0.677596i \(-0.763022\pi\)
0.954533 + 0.298107i \(0.0963552\pi\)
\(600\) 4.77474e6 + 8.27009e6i 0.541466 + 0.937847i
\(601\) 1.27578e7 1.44075 0.720376 0.693583i \(-0.243969\pi\)
0.720376 + 0.693583i \(0.243969\pi\)
\(602\) 4.96591e6 4.74401e6i 0.558480 0.533524i
\(603\) −4.50266e6 −0.504285
\(604\) 5.94691e6 + 1.03004e7i 0.663284 + 1.14884i
\(605\) −661082. + 1.14503e6i −0.0734289 + 0.127183i
\(606\) −8.49400e6 + 1.47120e7i −0.939574 + 1.62739i
\(607\) 6.81033e6 + 1.17958e7i 0.750233 + 1.29944i 0.947709 + 0.319135i \(0.103392\pi\)
−0.197476 + 0.980308i \(0.563274\pi\)
\(608\) −8.77359e6 −0.962539
\(609\) 2.66672e6 + 780266.i 0.291363 + 0.0852510i
\(610\) −5.12489e6 −0.557648
\(611\) −1.59092e6 2.75555e6i −0.172403 0.298611i
\(612\) −1.65008e6 + 2.85802e6i −0.178084 + 0.308451i
\(613\) −7.67372e6 + 1.32913e7i −0.824812 + 1.42862i 0.0772508 + 0.997012i \(0.475386\pi\)
−0.902063 + 0.431605i \(0.857948\pi\)
\(614\) −1.03828e7 1.79835e7i −1.11145 1.92510i
\(615\) −957099. −0.102040
\(616\) −2.40001e7 7.02227e6i −2.54836 0.745634i
\(617\) 1.18485e7 1.25300 0.626500 0.779421i \(-0.284487\pi\)
0.626500 + 0.779421i \(0.284487\pi\)
\(618\) −2.39439e6 4.14721e6i −0.252188 0.436802i
\(619\) 437230. 757304.i 0.0458652 0.0794408i −0.842181 0.539194i \(-0.818729\pi\)
0.888047 + 0.459753i \(0.152062\pi\)
\(620\) −2.54158e6 + 4.40215e6i −0.265537 + 0.459924i
\(621\) −1.49941e6 2.59706e6i −0.156024 0.270242i
\(622\) 2.96272e6 0.307054
\(623\) −5.85858e6 + 5.59679e6i −0.604744 + 0.577722i
\(624\) −1.75706e7 −1.80644
\(625\) −2.39730e6 4.15225e6i −0.245484 0.425190i
\(626\) −1.11548e6 + 1.93206e6i −0.113769 + 0.197054i
\(627\) 2.90679e6 5.03471e6i 0.295287 0.511453i
\(628\) −2.01823e7 3.49567e7i −2.04207 3.53697i
\(629\) −5.56642e6 −0.560983
\(630\) 603570. + 2.47766e6i 0.0605865 + 0.248708i
\(631\) −4.43859e6 −0.443784 −0.221892 0.975071i \(-0.571223\pi\)
−0.221892 + 0.975071i \(0.571223\pi\)
\(632\) 1.00380e6 + 1.73864e6i 0.0999667 + 0.173147i
\(633\) −309483. + 536040.i −0.0306992 + 0.0531726i
\(634\) −6.59761e6 + 1.14274e7i −0.651873 + 1.12908i
\(635\) −276992. 479764.i −0.0272605 0.0472165i
\(636\) 744780. 0.0730104
\(637\) 1.52120e7 7.87900e6i 1.48538 0.769348i
\(638\) −1.13341e7 −1.10239
\(639\) 246115. + 426283.i 0.0238443 + 0.0412996i
\(640\) 1.99567e6 3.45661e6i 0.192593 0.333580i
\(641\) −406276. + 703690.i −0.0390549 + 0.0676451i −0.884892 0.465796i \(-0.845768\pi\)
0.845837 + 0.533441i \(0.179101\pi\)
\(642\) −2.21653e6 3.83915e6i −0.212245 0.367618i
\(643\) −1.17941e7 −1.12496 −0.562481 0.826810i \(-0.690153\pi\)
−0.562481 + 0.826810i \(0.690153\pi\)
\(644\) 9.15456e6 + 3.75795e7i 0.869806 + 3.57056i
\(645\) 1.10767e6 0.104837
\(646\) 3.98465e6 + 6.90162e6i 0.375672 + 0.650683i
\(647\) 1.21690e6 2.10773e6i 0.114286 0.197950i −0.803208 0.595699i \(-0.796875\pi\)
0.917494 + 0.397749i \(0.130209\pi\)
\(648\) −1.35925e6 + 2.35430e6i −0.127164 + 0.220254i
\(649\) −6.40031e6 1.10857e7i −0.596471 1.03312i
\(650\) 2.66866e7 2.47748
\(651\) 2.48938e6 2.37814e6i 0.230217 0.219930i
\(652\) −1.43072e6 −0.131806
\(653\) 4.73332e6 + 8.19835e6i 0.434393 + 0.752391i 0.997246 0.0741664i \(-0.0236296\pi\)
−0.562853 + 0.826557i \(0.690296\pi\)
\(654\) 1.67630e6 2.90344e6i 0.153253 0.265442i
\(655\) 4.02323e6 6.96843e6i 0.366413 0.634647i
\(656\) 4.28756e6 + 7.42628e6i 0.389001 + 0.673770i
\(657\) −1.35915e6 −0.122844
\(658\) 3.97099e6 + 1.16189e6i 0.357548 + 0.104616i
\(659\) 1.40662e7 1.26172 0.630860 0.775896i \(-0.282702\pi\)
0.630860 + 0.775896i \(0.282702\pi\)
\(660\) −3.60888e6 6.25076e6i −0.322487 0.558564i
\(661\) 8.58029e6 1.48615e7i 0.763832 1.32300i −0.177029 0.984206i \(-0.556649\pi\)
0.940862 0.338791i \(-0.110018\pi\)
\(662\) 1.78182e7 3.08620e7i 1.58022 2.73702i
\(663\) 2.57669e6 + 4.46296e6i 0.227656 + 0.394312i
\(664\) 2.49209e7 2.19353
\(665\) 4.10091e6 + 1.19990e6i 0.359606 + 0.105218i
\(666\) −8.20592e6 −0.716872
\(667\) 4.89803e6 + 8.48364e6i 0.426292 + 0.738359i
\(668\) −3.43692e6 + 5.95293e6i −0.298009 + 0.516166i
\(669\) 2.79102e6 4.83419e6i 0.241100 0.417598i
\(670\) 6.74969e6 + 1.16908e7i 0.580894 + 1.00614i
\(671\) −9.82424e6 −0.842350
\(672\) 5.33448e6 5.09611e6i 0.455689 0.435327i
\(673\) 5.87113e6 0.499671 0.249836 0.968288i \(-0.419623\pi\)
0.249836 + 0.968288i \(0.419623\pi\)
\(674\) −1.27388e6 2.20643e6i −0.108014 0.187086i
\(675\) 933413. 1.61672e6i 0.0788523 0.136576i
\(676\) −2.42124e7 + 4.19372e7i −2.03785 + 3.52966i
\(677\) −6.96368e6 1.20614e7i −0.583938 1.01141i −0.995007 0.0998062i \(-0.968178\pi\)
0.411069 0.911604i \(-0.365156\pi\)
\(678\) −8.89884e6 −0.743462
\(679\) −1.95316e6 8.01773e6i −0.162578 0.667386i
\(680\) 5.52872e6 0.458513
\(681\) −4.51005e6 7.81163e6i −0.372660 0.645467i
\(682\) −7.02178e6 + 1.21621e7i −0.578077 + 1.00126i
\(683\) −9.15503e6 + 1.58570e7i −0.750945 + 1.30067i 0.196421 + 0.980520i \(0.437068\pi\)
−0.947365 + 0.320155i \(0.896265\pi\)
\(684\) 4.07580e6 + 7.05950e6i 0.333099 + 0.576944i
\(685\) −1.49350e6 −0.121613
\(686\) −7.22587e6 + 2.10722e7i −0.586246 + 1.70962i
\(687\) 7.97275e6 0.644490
\(688\) −4.96210e6 8.59461e6i −0.399663 0.692237i
\(689\) 581509. 1.00720e6i 0.0466669 0.0808294i
\(690\) −4.49538e6 + 7.78622e6i −0.359454 + 0.622593i
\(691\) 8.83583e6 + 1.53041e7i 0.703967 + 1.21931i 0.967063 + 0.254537i \(0.0819230\pi\)
−0.263096 + 0.964770i \(0.584744\pi\)
\(692\) 2.45752e7 1.95088
\(693\) 1.15702e6 + 4.74959e6i 0.0915184 + 0.375684i
\(694\) −1.53973e7 −1.21351
\(695\) −2.51693e6 4.35945e6i −0.197656 0.342350i
\(696\) 4.44018e6 7.69062e6i 0.347438 0.601781i
\(697\) 1.25753e6 2.17810e6i 0.0980473 0.169823i
\(698\) −7.89131e6 1.36681e7i −0.613070 1.06187i
\(699\) 5.36547e6 0.415351
\(700\) −1.74103e7 + 1.66324e7i −1.34296 + 1.28295i
\(701\) 8.22993e6 0.632559 0.316279 0.948666i \(-0.397566\pi\)
0.316279 + 0.948666i \(0.397566\pi\)
\(702\) 3.79852e6 + 6.57922e6i 0.290918 + 0.503886i
\(703\) −6.87472e6 + 1.19074e7i −0.524646 + 0.908714i
\(704\) −780843. + 1.35246e6i −0.0593789 + 0.102847i
\(705\) 333660. + 577916.i 0.0252832 + 0.0437917i
\(706\) −1.71552e7 −1.29534
\(707\) −2.29717e7 6.72137e6i −1.72840 0.505719i
\(708\) 1.79486e7 1.34570
\(709\) −1.23183e7 2.13360e7i −0.920314 1.59403i −0.798929 0.601426i \(-0.794600\pi\)
−0.121386 0.992605i \(-0.538734\pi\)
\(710\) 737874. 1.27803e6i 0.0549334 0.0951474i
\(711\) 196233. 339886.i 0.0145579 0.0252150i
\(712\) 1.29477e7 + 2.24261e7i 0.957179 + 1.65788i
\(713\) 1.21379e7 0.894167
\(714\) −6.43152e6 1.88182e6i −0.472137 0.138144i
\(715\) −1.12710e7 −0.824510
\(716\) −2.81475e7 4.87530e7i −2.05191 3.55401i
\(717\) −3.34400e6 + 5.79197e6i −0.242923 + 0.420754i
\(718\) 1.27784e7 2.21329e7i 0.925053 1.60224i
\(719\) 9.41269e6 + 1.63033e7i 0.679034 + 1.17612i 0.975272 + 0.221007i \(0.0709345\pi\)
−0.296238 + 0.955114i \(0.595732\pi\)
\(720\) 3.68503e6 0.264917
\(721\) 4.87863e6 4.66064e6i 0.349510 0.333893i
\(722\) −5.63055e6 −0.401983
\(723\) 5.28677e6 + 9.15696e6i 0.376136 + 0.651487i
\(724\) 4.81205e6 8.33472e6i 0.341180 0.590942i
\(725\) −3.04911e6 + 5.28122e6i −0.215441 + 0.373155i
\(726\) −2.56093e6 4.43566e6i −0.180325 0.312332i
\(727\) 6.77607e6 0.475491 0.237745 0.971328i \(-0.423592\pi\)
0.237745 + 0.971328i \(0.423592\pi\)
\(728\) −1.29591e7 5.31973e7i −0.906248 3.72015i
\(729\) 531441. 0.0370370
\(730\) 2.03743e6 + 3.52893e6i 0.141506 + 0.245096i
\(731\) −1.45537e6 + 2.52077e6i −0.100735 + 0.174478i
\(732\) 6.88760e6 1.19297e7i 0.475106 0.822908i
\(733\) 8.61136e6 + 1.49153e7i 0.591986 + 1.02535i 0.993965 + 0.109701i \(0.0349894\pi\)
−0.401978 + 0.915649i \(0.631677\pi\)
\(734\) −2.15459e7 −1.47613
\(735\) −3.19038e6 + 1.65244e6i −0.217833 + 0.112826i
\(736\) 2.60102e7 1.76990
\(737\) 1.29389e7 + 2.24109e7i 0.877465 + 1.51981i
\(738\) 1.85383e6 3.21092e6i 0.125293 0.217014i
\(739\) 8.82669e6 1.52883e7i 0.594548 1.02979i −0.399062 0.916924i \(-0.630664\pi\)
0.993610 0.112864i \(-0.0360023\pi\)
\(740\) 8.53520e6 + 1.47834e7i 0.572973 + 0.992418i
\(741\) 1.27292e7 0.851641
\(742\) 357941. + 1.46935e6i 0.0238672 + 0.0979752i
\(743\) −1.36977e7 −0.910281 −0.455141 0.890420i \(-0.650411\pi\)
−0.455141 + 0.890420i \(0.650411\pi\)
\(744\) −5.50163e6 9.52911e6i −0.364384 0.631132i
\(745\) −1.66594e6 + 2.88549e6i −0.109968 + 0.190471i
\(746\) −1.39670e7 + 2.41916e7i −0.918877 + 1.59154i
\(747\) −2.43589e6 4.21908e6i −0.159719 0.276641i
\(748\) 1.89668e7 1.23948
\(749\) 4.51624e6 4.31443e6i 0.294152 0.281008i
\(750\) −1.24269e7 −0.806698
\(751\) −5.80446e6 1.00536e7i −0.375545 0.650463i 0.614864 0.788633i \(-0.289211\pi\)
−0.990408 + 0.138171i \(0.955878\pi\)
\(752\) 2.98943e6 5.17784e6i 0.192772 0.333890i
\(753\) −1.58846e6 + 2.75130e6i −0.102092 + 0.176828i
\(754\) −1.24083e7 2.14919e7i −0.794851 1.37672i
\(755\) −3.89526e6 −0.248696
\(756\) −6.57864e6 1.92487e6i −0.418631 0.122489i
\(757\) 6.25226e6 0.396550 0.198275 0.980146i \(-0.436466\pi\)
0.198275 + 0.980146i \(0.436466\pi\)
\(758\) 1.04434e7 + 1.80885e7i 0.660191 + 1.14348i
\(759\) −8.61748e6 + 1.49259e7i −0.542970 + 0.940452i
\(760\) 6.82815e6 1.18267e7i 0.428814 0.742728i
\(761\) 1.51063e7 + 2.61648e7i 0.945574 + 1.63778i 0.754597 + 0.656188i \(0.227832\pi\)
0.190977 + 0.981595i \(0.438834\pi\)
\(762\) 2.14605e6 0.133891
\(763\) 4.53350e6 + 1.32647e6i 0.281918 + 0.0824873i
\(764\) 481393. 0.0298378
\(765\) −540404. 936007.i −0.0333860 0.0578263i
\(766\) −7.71386e6 + 1.33608e7i −0.475007 + 0.822736i
\(767\) 1.40139e7 2.42728e7i 0.860142 1.48981i
\(768\) 8.21400e6 + 1.42271e7i 0.502518 + 0.870386i
\(769\) −2.58756e7 −1.57788 −0.788940 0.614470i \(-0.789370\pi\)
−0.788940 + 0.614470i \(0.789370\