Properties

Label 76.6.f.a.27.3
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.3
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.64436 - 0.375742i) q^{2} +(-5.80366 + 10.0522i) q^{3} +(31.7176 + 4.24165i) q^{4} +(-48.4181 + 83.8626i) q^{5} +(36.5350 - 54.5577i) q^{6} +77.0285i q^{7} +(-177.432 - 35.8590i) q^{8} +(54.1352 + 93.7648i) q^{9} +O(q^{10})\) \(q+(-5.64436 - 0.375742i) q^{2} +(-5.80366 + 10.0522i) q^{3} +(31.7176 + 4.24165i) q^{4} +(-48.4181 + 83.8626i) q^{5} +(36.5350 - 54.5577i) q^{6} +77.0285i q^{7} +(-177.432 - 35.8590i) q^{8} +(54.1352 + 93.7648i) q^{9} +(304.800 - 455.158i) q^{10} +612.215i q^{11} +(-226.716 + 294.216i) q^{12} +(784.662 - 453.025i) q^{13} +(28.9428 - 434.777i) q^{14} +(-562.004 - 973.420i) q^{15} +(988.017 + 269.070i) q^{16} +(-469.295 + 812.843i) q^{17} +(-270.327 - 549.584i) q^{18} +(-1573.54 - 8.46536i) q^{19} +(-1891.42 + 2454.55i) q^{20} +(-774.308 - 447.047i) q^{21} +(230.035 - 3455.56i) q^{22} +(-156.096 + 90.1218i) q^{23} +(1390.22 - 1575.47i) q^{24} +(-3126.13 - 5414.61i) q^{25} +(-4599.13 + 2262.20i) q^{26} -4077.30 q^{27} +(-326.728 + 2443.16i) q^{28} +(5138.90 - 2966.95i) q^{29} +(2806.40 + 5705.50i) q^{30} -4142.34 q^{31} +(-5475.62 - 1889.97i) q^{32} +(-6154.12 - 3553.08i) q^{33} +(2954.29 - 4411.65i) q^{34} +(-6459.82 - 3729.58i) q^{35} +(1319.32 + 3203.62i) q^{36} +573.009i q^{37} +(8878.45 + 639.026i) q^{38} +10516.8i q^{39} +(11598.2 - 13143.7i) q^{40} +(2742.72 + 1583.51i) q^{41} +(4202.50 + 2814.24i) q^{42} +(11790.0 + 6806.98i) q^{43} +(-2596.80 + 19418.0i) q^{44} -10484.5 q^{45} +(914.922 - 450.029i) q^{46} +(1774.06 - 1024.25i) q^{47} +(-8438.86 + 8370.18i) q^{48} +10873.6 q^{49} +(15610.5 + 31736.6i) q^{50} +(-5447.26 - 9434.93i) q^{51} +(26809.2 - 11040.6i) q^{52} +(14619.0 - 8440.29i) q^{53} +(23013.8 + 1532.01i) q^{54} +(-51342.0 - 29642.3i) q^{55} +(2762.17 - 13667.3i) q^{56} +(9217.38 - 15768.4i) q^{57} +(-30120.6 + 14815.6i) q^{58} +(17395.6 - 30130.0i) q^{59} +(-13696.5 - 33258.4i) q^{60} +(6679.33 + 11568.9i) q^{61} +(23380.9 + 1556.45i) q^{62} +(-7222.57 + 4169.95i) q^{63} +(30196.3 + 12725.1i) q^{64} +87738.4i q^{65} +(33401.1 + 22367.3i) q^{66} +(907.767 + 1572.30i) q^{67} +(-18332.7 + 23790.9i) q^{68} -2092.14i q^{69} +(35060.2 + 23478.3i) q^{70} +(-38475.9 + 66642.2i) q^{71} +(-6242.99 - 18578.1i) q^{72} +(30512.5 - 52849.1i) q^{73} +(215.304 - 3234.27i) q^{74} +72571.9 q^{75} +(-49873.1 - 6942.90i) q^{76} -47158.0 q^{77} +(3951.60 - 59360.6i) q^{78} +(-34077.6 + 59024.2i) q^{79} +(-70402.8 + 69829.8i) q^{80} +(10508.4 - 18201.1i) q^{81} +(-14885.9 - 9968.48i) q^{82} -98626.4i q^{83} +(-22663.0 - 17463.6i) q^{84} +(-45444.8 - 78712.7i) q^{85} +(-63989.5 - 42851.1i) q^{86} +68876.5i q^{87} +(21953.4 - 108627. i) q^{88} +(-92806.4 + 53581.8i) q^{89} +(59178.2 + 3939.46i) q^{90} +(34895.8 + 60441.3i) q^{91} +(-5333.25 + 2196.35i) q^{92} +(24040.7 - 41639.7i) q^{93} +(-10398.3 + 5114.66i) q^{94} +(76897.8 - 131551. i) q^{95} +(50777.0 - 44073.5i) q^{96} +(-42509.4 - 24542.8i) q^{97} +(-61374.6 - 4085.67i) q^{98} +(-57404.2 + 33142.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.64436 0.375742i −0.997792 0.0664224i
\(3\) −5.80366 + 10.0522i −0.372305 + 0.644851i −0.989920 0.141630i \(-0.954766\pi\)
0.617615 + 0.786481i \(0.288099\pi\)
\(4\) 31.7176 + 4.24165i 0.991176 + 0.132551i
\(5\) −48.4181 + 83.8626i −0.866130 + 1.50018i −0.000208377 1.00000i \(0.500066\pi\)
−0.865921 + 0.500180i \(0.833267\pi\)
\(6\) 36.5350 54.5577i 0.414315 0.618697i
\(7\) 77.0285i 0.594164i 0.954852 + 0.297082i \(0.0960135\pi\)
−0.954852 + 0.297082i \(0.903986\pi\)
\(8\) −177.432 35.8590i −0.980183 0.198095i
\(9\) 54.1352 + 93.7648i 0.222778 + 0.385864i
\(10\) 304.800 455.158i 0.963862 1.43934i
\(11\) 612.215i 1.52553i 0.646673 + 0.762767i \(0.276160\pi\)
−0.646673 + 0.762767i \(0.723840\pi\)
\(12\) −226.716 + 294.216i −0.454495 + 0.589811i
\(13\) 784.662 453.025i 1.28773 0.743470i 0.309479 0.950906i \(-0.399845\pi\)
0.978249 + 0.207436i \(0.0665119\pi\)
\(14\) 28.9428 434.777i 0.0394658 0.592852i
\(15\) −562.004 973.420i −0.644928 1.11705i
\(16\) 988.017 + 269.070i 0.964860 + 0.262764i
\(17\) −469.295 + 812.843i −0.393844 + 0.682157i −0.992953 0.118510i \(-0.962188\pi\)
0.599109 + 0.800667i \(0.295522\pi\)
\(18\) −270.327 549.584i −0.196656 0.399809i
\(19\) −1573.54 8.46536i −0.999986 0.00537974i
\(20\) −1891.42 + 2454.55i −1.05734 + 1.37214i
\(21\) −774.308 447.047i −0.383147 0.221210i
\(22\) 230.035 3455.56i 0.101330 1.52217i
\(23\) −156.096 + 90.1218i −0.0615277 + 0.0355231i −0.530448 0.847717i \(-0.677976\pi\)
0.468921 + 0.883240i \(0.344643\pi\)
\(24\) 1390.22 1575.47i 0.492668 0.558320i
\(25\) −3126.13 5414.61i −1.00036 1.73268i
\(26\) −4599.13 + 2262.20i −1.33427 + 0.656294i
\(27\) −4077.30 −1.07638
\(28\) −326.728 + 2443.16i −0.0787573 + 0.588921i
\(29\) 5138.90 2966.95i 1.13469 0.655111i 0.189576 0.981866i \(-0.439289\pi\)
0.945109 + 0.326755i \(0.105955\pi\)
\(30\) 2806.40 + 5705.50i 0.569307 + 1.15742i
\(31\) −4142.34 −0.774179 −0.387089 0.922042i \(-0.626520\pi\)
−0.387089 + 0.922042i \(0.626520\pi\)
\(32\) −5475.62 1889.97i −0.945276 0.326272i
\(33\) −6154.12 3553.08i −0.983742 0.567964i
\(34\) 2954.29 4411.65i 0.438285 0.654491i
\(35\) −6459.82 3729.58i −0.891354 0.514623i
\(36\) 1319.32 + 3203.62i 0.169666 + 0.411988i
\(37\) 573.009i 0.0688109i 0.999408 + 0.0344055i \(0.0109538\pi\)
−0.999408 + 0.0344055i \(0.989046\pi\)
\(38\) 8878.45 + 639.026i 0.997420 + 0.0717893i
\(39\) 10516.8i 1.10719i
\(40\) 11598.2 13143.7i 1.14614 1.29888i
\(41\) 2742.72 + 1583.51i 0.254814 + 0.147117i 0.621966 0.783044i \(-0.286334\pi\)
−0.367153 + 0.930161i \(0.619667\pi\)
\(42\) 4202.50 + 2814.24i 0.367608 + 0.246171i
\(43\) 11790.0 + 6806.98i 0.972398 + 0.561414i 0.899966 0.435959i \(-0.143591\pi\)
0.0724313 + 0.997373i \(0.476924\pi\)
\(44\) −2596.80 + 19418.0i −0.202212 + 1.51207i
\(45\) −10484.5 −0.771820
\(46\) 914.922 450.029i 0.0637514 0.0313578i
\(47\) 1774.06 1024.25i 0.117145 0.0676335i −0.440283 0.897859i \(-0.645122\pi\)
0.557427 + 0.830226i \(0.311788\pi\)
\(48\) −8438.86 + 8370.18i −0.528665 + 0.524363i
\(49\) 10873.6 0.646969
\(50\) 15610.5 + 31736.6i 0.883063 + 1.79530i
\(51\) −5447.26 9434.93i −0.293260 0.507941i
\(52\) 26809.2 11040.6i 1.37491 0.566220i
\(53\) 14619.0 8440.29i 0.714872 0.412731i −0.0979905 0.995187i \(-0.531241\pi\)
0.812862 + 0.582456i \(0.197908\pi\)
\(54\) 23013.8 + 1532.01i 1.07400 + 0.0714954i
\(55\) −51342.0 29642.3i −2.28858 1.32131i
\(56\) 2762.17 13667.3i 0.117701 0.582390i
\(57\) 9217.38 15768.4i 0.375768 0.642838i
\(58\) −30120.6 + 14815.6i −1.17569 + 0.578295i
\(59\) 17395.6 30130.0i 0.650592 1.12686i −0.332387 0.943143i \(-0.607854\pi\)
0.982979 0.183716i \(-0.0588126\pi\)
\(60\) −13696.5 33258.4i −0.491171 1.19268i
\(61\) 6679.33 + 11568.9i 0.229831 + 0.398079i 0.957758 0.287576i \(-0.0928494\pi\)
−0.727927 + 0.685655i \(0.759516\pi\)
\(62\) 23380.9 + 1556.45i 0.772469 + 0.0514228i
\(63\) −7222.57 + 4169.95i −0.229266 + 0.132367i
\(64\) 30196.3 + 12725.1i 0.921517 + 0.388339i
\(65\) 87738.4i 2.57577i
\(66\) 33401.1 + 22367.3i 0.943844 + 0.632052i
\(67\) 907.767 + 1572.30i 0.0247051 + 0.0427906i 0.878114 0.478452i \(-0.158802\pi\)
−0.853409 + 0.521243i \(0.825469\pi\)
\(68\) −18332.7 + 23790.9i −0.480790 + 0.623934i
\(69\) 2092.14i 0.0529016i
\(70\) 35060.2 + 23478.3i 0.855203 + 0.572693i
\(71\) −38475.9 + 66642.2i −0.905823 + 1.56893i −0.0860133 + 0.996294i \(0.527413\pi\)
−0.819809 + 0.572637i \(0.805921\pi\)
\(72\) −6242.99 18578.1i −0.141926 0.422348i
\(73\) 30512.5 52849.1i 0.670147 1.16073i −0.307715 0.951479i \(-0.599564\pi\)
0.977862 0.209250i \(-0.0671024\pi\)
\(74\) 215.304 3234.27i 0.00457059 0.0686590i
\(75\) 72571.9 1.48976
\(76\) −49873.1 6942.90i −0.990449 0.137882i
\(77\) −47158.0 −0.906418
\(78\) 3951.60 59360.6i 0.0735422 1.10474i
\(79\) −34077.6 + 59024.2i −0.614330 + 1.06405i 0.376172 + 0.926550i \(0.377240\pi\)
−0.990502 + 0.137501i \(0.956093\pi\)
\(80\) −70402.8 + 69829.8i −1.22989 + 1.21988i
\(81\) 10508.4 18201.1i 0.177961 0.308238i
\(82\) −14885.9 9968.48i −0.244479 0.163717i
\(83\) 98626.4i 1.57144i −0.618582 0.785720i \(-0.712293\pi\)
0.618582 0.785720i \(-0.287707\pi\)
\(84\) −22663.0 17463.6i −0.350445 0.270045i
\(85\) −45444.8 78712.7i −0.682240 1.18167i
\(86\) −63989.5 42851.1i −0.932960 0.624763i
\(87\) 68876.5i 0.975603i
\(88\) 21953.4 108627.i 0.302201 1.49530i
\(89\) −92806.4 + 53581.8i −1.24195 + 0.717038i −0.969490 0.245130i \(-0.921169\pi\)
−0.272456 + 0.962168i \(0.587836\pi\)
\(90\) 59178.2 + 3939.46i 0.770115 + 0.0512661i
\(91\) 34895.8 + 60441.3i 0.441743 + 0.765122i
\(92\) −5333.25 + 2196.35i −0.0656935 + 0.0270540i
\(93\) 24040.7 41639.7i 0.288230 0.499230i
\(94\) −10398.3 + 5114.66i −0.121378 + 0.0597031i
\(95\) 76897.8 131551.i 0.874188 1.49550i
\(96\) 50777.0 44073.5i 0.562327 0.488089i
\(97\) −42509.4 24542.8i −0.458728 0.264847i 0.252781 0.967523i \(-0.418655\pi\)
−0.711509 + 0.702677i \(0.751988\pi\)
\(98\) −61374.6 4085.67i −0.645540 0.0429732i
\(99\) −57404.2 + 33142.3i −0.588648 + 0.339856i
\(100\) −76186.5 184999.i −0.761865 1.84999i
\(101\) 57186.0 + 99049.1i 0.557810 + 0.966156i 0.997679 + 0.0680936i \(0.0216917\pi\)
−0.439869 + 0.898062i \(0.644975\pi\)
\(102\) 27201.2 + 55300.9i 0.258873 + 0.526298i
\(103\) 14404.8 0.133787 0.0668937 0.997760i \(-0.478691\pi\)
0.0668937 + 0.997760i \(0.478691\pi\)
\(104\) −155469. + 52243.9i −1.40949 + 0.473644i
\(105\) 74981.1 43290.4i 0.663710 0.383193i
\(106\) −85686.3 + 42147.1i −0.740708 + 0.364336i
\(107\) 145836. 1.23142 0.615709 0.787974i \(-0.288870\pi\)
0.615709 + 0.787974i \(0.288870\pi\)
\(108\) −129322. 17294.5i −1.06688 0.142675i
\(109\) 28053.1 + 16196.4i 0.226159 + 0.130573i 0.608799 0.793325i \(-0.291652\pi\)
−0.382640 + 0.923898i \(0.624985\pi\)
\(110\) 278655. + 186603.i 2.19576 + 1.47041i
\(111\) −5760.02 3325.55i −0.0443728 0.0256186i
\(112\) −20726.1 + 76105.5i −0.156125 + 0.573285i
\(113\) 26567.0i 0.195725i 0.995200 + 0.0978624i \(0.0312005\pi\)
−0.995200 + 0.0978624i \(0.968799\pi\)
\(114\) −57951.1 + 85539.5i −0.417637 + 0.616459i
\(115\) 17454.1i 0.123070i
\(116\) 175579. 72307.1i 1.21151 0.498926i
\(117\) 84955.6 + 49049.1i 0.573756 + 0.331258i
\(118\) −109508. + 163528.i −0.724004 + 1.08116i
\(119\) −62612.1 36149.1i −0.405314 0.234008i
\(120\) 64811.7 + 192869.i 0.410866 + 1.22267i
\(121\) −213756. −1.32726
\(122\) −33353.6 67808.9i −0.202882 0.412465i
\(123\) −31835.7 + 18380.3i −0.189737 + 0.109544i
\(124\) −131385. 17570.3i −0.767348 0.102619i
\(125\) 302832. 1.73351
\(126\) 42333.6 20822.9i 0.237552 0.116846i
\(127\) 42616.0 + 73813.0i 0.234457 + 0.406091i 0.959115 0.283018i \(-0.0913355\pi\)
−0.724658 + 0.689109i \(0.758002\pi\)
\(128\) −165657. 83171.0i −0.893687 0.448690i
\(129\) −136851. + 79010.7i −0.724056 + 0.418034i
\(130\) 32967.0 495227.i 0.171089 2.57008i
\(131\) 133798. + 77248.6i 0.681197 + 0.393289i 0.800306 0.599592i \(-0.204670\pi\)
−0.119109 + 0.992881i \(0.538004\pi\)
\(132\) −180123. 138799.i −0.899777 0.693349i
\(133\) 652.074 121207.i 0.00319645 0.594156i
\(134\) −4532.99 9215.71i −0.0218083 0.0443370i
\(135\) 197415. 341933.i 0.932280 1.61476i
\(136\) 112416. 127396.i 0.521171 0.590621i
\(137\) −105149. 182124.i −0.478635 0.829019i 0.521065 0.853517i \(-0.325535\pi\)
−0.999700 + 0.0244974i \(0.992201\pi\)
\(138\) −786.106 + 11808.8i −0.00351385 + 0.0527848i
\(139\) −53907.9 + 31123.7i −0.236655 + 0.136633i −0.613638 0.789587i \(-0.710295\pi\)
0.376984 + 0.926220i \(0.376961\pi\)
\(140\) −189071. 145694.i −0.815274 0.628232i
\(141\) 23777.6i 0.100721i
\(142\) 242212. 361696.i 1.00803 1.50530i
\(143\) 277348. + 480382.i 1.13419 + 1.96447i
\(144\) 28257.1 + 107207.i 0.113559 + 0.430842i
\(145\) 574616.i 2.26964i
\(146\) −192081. + 286835.i −0.745766 + 1.11365i
\(147\) −63106.7 + 109304.i −0.240870 + 0.417198i
\(148\) −2430.50 + 18174.5i −0.00912099 + 0.0682037i
\(149\) −262060. + 453900.i −0.967017 + 1.67492i −0.262923 + 0.964817i \(0.584687\pi\)
−0.704094 + 0.710107i \(0.748647\pi\)
\(150\) −409622. 27268.3i −1.48647 0.0989532i
\(151\) −229611. −0.819503 −0.409752 0.912197i \(-0.634385\pi\)
−0.409752 + 0.912197i \(0.634385\pi\)
\(152\) 278893. + 57927.6i 0.979103 + 0.203365i
\(153\) −101622. −0.350960
\(154\) 266177. + 17719.2i 0.904416 + 0.0602065i
\(155\) 200564. 347387.i 0.670539 1.16141i
\(156\) −44608.5 + 333568.i −0.146760 + 1.09742i
\(157\) 20925.7 36244.4i 0.0677534 0.117352i −0.830159 0.557527i \(-0.811750\pi\)
0.897912 + 0.440175i \(0.145084\pi\)
\(158\) 214524. 320349.i 0.683650 1.02090i
\(159\) 195938.i 0.614647i
\(160\) 423617. 367692.i 1.30820 1.13549i
\(161\) −6941.95 12023.8i −0.0211065 0.0365576i
\(162\) −66152.3 + 98785.3i −0.198042 + 0.295736i
\(163\) 60316.1i 0.177813i −0.996040 0.0889066i \(-0.971663\pi\)
0.996040 0.0889066i \(-0.0283373\pi\)
\(164\) 80276.0 + 61858.9i 0.233065 + 0.179594i
\(165\) 595942. 344067.i 1.70410 0.983861i
\(166\) −37058.1 + 556683.i −0.104379 + 1.56797i
\(167\) −98002.8 169746.i −0.271924 0.470986i 0.697431 0.716652i \(-0.254327\pi\)
−0.969354 + 0.245666i \(0.920993\pi\)
\(168\) 121356. + 107086.i 0.331734 + 0.292726i
\(169\) 224816. 389393.i 0.605495 1.04875i
\(170\) 226931. + 461358.i 0.602243 + 1.22438i
\(171\) −84390.1 148001.i −0.220699 0.387056i
\(172\) 345079. + 265910.i 0.889401 + 0.685353i
\(173\) −216585. 125045.i −0.550191 0.317653i 0.199008 0.979998i \(-0.436228\pi\)
−0.749199 + 0.662345i \(0.769561\pi\)
\(174\) 25879.8 388764.i 0.0648019 0.973449i
\(175\) 417080. 240801.i 1.02949 0.594379i
\(176\) −164729. + 604879.i −0.400855 + 1.47193i
\(177\) 201916. + 349729.i 0.484437 + 0.839070i
\(178\) 543966. 267564.i 1.28683 0.632962i
\(179\) −797188. −1.85964 −0.929818 0.368019i \(-0.880036\pi\)
−0.929818 + 0.368019i \(0.880036\pi\)
\(180\) −332543. 44471.5i −0.765009 0.102306i
\(181\) 405031. 233845.i 0.918949 0.530556i 0.0356496 0.999364i \(-0.488650\pi\)
0.883300 + 0.468809i \(0.155317\pi\)
\(182\) −174254. 354265.i −0.389946 0.792774i
\(183\) −155058. −0.342268
\(184\) 30928.0 10393.1i 0.0673454 0.0226308i
\(185\) −48054.1 27744.0i −0.103229 0.0595992i
\(186\) −151340. + 225997.i −0.320754 + 0.478982i
\(187\) −497635. 287310.i −1.04066 0.600822i
\(188\) 60613.4 24961.9i 0.125076 0.0515090i
\(189\) 314069.i 0.639544i
\(190\) −483468. + 713629.i −0.971592 + 1.43413i
\(191\) 681230.i 1.35117i 0.737282 + 0.675585i \(0.236109\pi\)
−0.737282 + 0.675585i \(0.763891\pi\)
\(192\) −303164. + 229688.i −0.593505 + 0.449660i
\(193\) −100319. 57919.4i −0.193861 0.111926i 0.399928 0.916547i \(-0.369035\pi\)
−0.593789 + 0.804621i \(0.702369\pi\)
\(194\) 230717. + 154501.i 0.440123 + 0.294732i
\(195\) −881966. 509203.i −1.66098 0.958970i
\(196\) 344885. + 46122.0i 0.641260 + 0.0857567i
\(197\) −651779. −1.19656 −0.598280 0.801287i \(-0.704149\pi\)
−0.598280 + 0.801287i \(0.704149\pi\)
\(198\) 336463. 165498.i 0.609922 0.300006i
\(199\) 580188. 334972.i 1.03857 0.599619i 0.119142 0.992877i \(-0.461985\pi\)
0.919428 + 0.393258i \(0.128652\pi\)
\(200\) 360512. + 1.07283e6i 0.637302 + 1.89651i
\(201\) −21073.5 −0.0367914
\(202\) −285562. 580556.i −0.492404 1.00107i
\(203\) 228540. + 395842.i 0.389243 + 0.674189i
\(204\) −132755. 322359.i −0.223344 0.542331i
\(205\) −265595. + 153341.i −0.441403 + 0.254844i
\(206\) −81306.1 5412.50i −0.133492 0.00888648i
\(207\) −16900.5 9757.52i −0.0274141 0.0158275i
\(208\) 897154. 236467.i 1.43783 0.378977i
\(209\) 5182.62 963344.i 0.00820699 1.52551i
\(210\) −439486. + 216173.i −0.687697 + 0.338262i
\(211\) 67025.3 116091.i 0.103641 0.179512i −0.809541 0.587063i \(-0.800284\pi\)
0.913182 + 0.407551i \(0.133617\pi\)
\(212\) 499481. 205697.i 0.763272 0.314332i
\(213\) −446602. 773537.i −0.674484 1.16824i
\(214\) −823151. 54796.7i −1.22870 0.0817937i
\(215\) −1.14170e6 + 659162.i −1.68444 + 0.972515i
\(216\) 723444. + 146208.i 1.05504 + 0.213225i
\(217\) 319078.i 0.459989i
\(218\) −152256. 101959.i −0.216987 0.145307i
\(219\) 354168. + 613436.i 0.498998 + 0.864290i
\(220\) −1.50271e6 1.15796e6i −2.09324 1.61301i
\(221\) 850410.i 1.17124i
\(222\) 31262.1 + 20934.9i 0.0425731 + 0.0285094i
\(223\) −213799. + 370311.i −0.287901 + 0.498660i −0.973309 0.229500i \(-0.926291\pi\)
0.685407 + 0.728160i \(0.259624\pi\)
\(224\) 145581. 421779.i 0.193859 0.561649i
\(225\) 338467. 586242.i 0.445718 0.772006i
\(226\) 9982.32 149954.i 0.0130005 0.195293i
\(227\) −232619. −0.299626 −0.149813 0.988714i \(-0.547867\pi\)
−0.149813 + 0.988714i \(0.547867\pi\)
\(228\) 359238. 461041.i 0.457662 0.587357i
\(229\) 62382.3 0.0786090 0.0393045 0.999227i \(-0.487486\pi\)
0.0393045 + 0.999227i \(0.487486\pi\)
\(230\) −6558.24 + 98517.3i −0.00817463 + 0.122799i
\(231\) 273689. 474043.i 0.337464 0.584504i
\(232\) −1.01820e6 + 342155.i −1.24197 + 0.417353i
\(233\) −484371. + 838956.i −0.584506 + 1.01239i 0.410431 + 0.911892i \(0.365378\pi\)
−0.994937 + 0.100502i \(0.967955\pi\)
\(234\) −461090. 308772.i −0.550486 0.368637i
\(235\) 198369.i 0.234318i
\(236\) 679547. 881867.i 0.794218 1.03068i
\(237\) −395550. 685112.i −0.457436 0.792302i
\(238\) 339823. + 227565.i 0.388875 + 0.260413i
\(239\) 214416.i 0.242807i −0.992603 0.121404i \(-0.961260\pi\)
0.992603 0.121404i \(-0.0387395\pi\)
\(240\) −293352. 1.11297e6i −0.328746 1.24726i
\(241\) −50885.6 + 29378.8i −0.0564355 + 0.0325830i −0.527952 0.849274i \(-0.677040\pi\)
0.471517 + 0.881857i \(0.343707\pi\)
\(242\) 1.20652e6 + 80317.1i 1.32433 + 0.0881596i
\(243\) −373418. 646779.i −0.405676 0.702652i
\(244\) 162781. + 395271.i 0.175037 + 0.425030i
\(245\) −526480. + 911889.i −0.560359 + 0.970570i
\(246\) 186598. 91783.2i 0.196594 0.0966998i
\(247\) −1.23853e6 + 706210.i −1.29171 + 0.736532i
\(248\) 734984. + 148540.i 0.758837 + 0.153361i
\(249\) 991415. + 572394.i 1.01334 + 0.585055i
\(250\) −1.70929e6 113787.i −1.72968 0.115144i
\(251\) 47653.2 27512.6i 0.0477428 0.0275643i −0.475939 0.879478i \(-0.657892\pi\)
0.523681 + 0.851914i \(0.324558\pi\)
\(252\) −246770. + 101625.i −0.244789 + 0.100809i
\(253\) −55173.9 95564.0i −0.0541917 0.0938627i
\(254\) −212805. 432640.i −0.206966 0.420768i
\(255\) 1.05498e6 1.01600
\(256\) 903779. + 531691.i 0.861911 + 0.507060i
\(257\) 1.72905e6 998268.i 1.63296 0.942788i 0.649783 0.760120i \(-0.274860\pi\)
0.983175 0.182668i \(-0.0584734\pi\)
\(258\) 802122. 394545.i 0.750224 0.369017i
\(259\) −44138.1 −0.0408850
\(260\) −372155. + 2.78285e6i −0.341421 + 2.55304i
\(261\) 556391. + 321232.i 0.505567 + 0.291889i
\(262\) −726181. 486293.i −0.653570 0.437668i
\(263\) −434848. 251060.i −0.387658 0.223814i 0.293487 0.955963i \(-0.405184\pi\)
−0.681145 + 0.732149i \(0.738518\pi\)
\(264\) 964528. + 851112.i 0.851736 + 0.751583i
\(265\) 1.63465e6i 1.42992i
\(266\) −49223.3 + 683894.i −0.0426546 + 0.592631i
\(267\) 1.24388e6i 1.06783i
\(268\) 22123.1 + 53720.0i 0.0188152 + 0.0456877i
\(269\) 183724. + 106073.i 0.154805 + 0.0893767i 0.575401 0.817871i \(-0.304846\pi\)
−0.420596 + 0.907248i \(0.638179\pi\)
\(270\) −1.24276e6 + 1.85582e6i −1.03748 + 1.54927i
\(271\) 1.00073e6 + 577773.i 0.827741 + 0.477897i 0.853079 0.521782i \(-0.174733\pi\)
−0.0253374 + 0.999679i \(0.508066\pi\)
\(272\) −682384. + 676830.i −0.559250 + 0.554699i
\(273\) −810093. −0.657852
\(274\) 525068. + 1.06748e6i 0.422512 + 0.858981i
\(275\) 3.31491e6 1.91386e6i 2.64326 1.52609i
\(276\) 8874.14 66357.9i 0.00701219 0.0524348i
\(277\) −116345. −0.0911063 −0.0455532 0.998962i \(-0.514505\pi\)
−0.0455532 + 0.998962i \(0.514505\pi\)
\(278\) 315970. 155418.i 0.245208 0.120612i
\(279\) −224246. 388406.i −0.172470 0.298727i
\(280\) 1.01244e6 + 893389.i 0.771745 + 0.680998i
\(281\) −113596. + 65584.8i −0.0858218 + 0.0495493i −0.542297 0.840187i \(-0.682445\pi\)
0.456475 + 0.889736i \(0.349112\pi\)
\(282\) 8934.25 134209.i 0.00669014 0.100499i
\(283\) 775627. + 447808.i 0.575688 + 0.332373i 0.759418 0.650603i \(-0.225484\pi\)
−0.183730 + 0.982977i \(0.558817\pi\)
\(284\) −1.50304e6 + 1.95053e6i −1.10579 + 1.43502i
\(285\) 876096. + 1.53647e6i 0.638909 + 1.12050i
\(286\) −1.38496e6 2.81566e6i −1.00120 2.03547i
\(287\) −121976. + 211268.i −0.0874115 + 0.151401i
\(288\) −119211. 615735.i −0.0846907 0.437434i
\(289\) 269452. + 466705.i 0.189774 + 0.328698i
\(290\) 215907. 3.24334e6i 0.150755 2.26463i
\(291\) 493420. 284876.i 0.341573 0.197207i
\(292\) 1.19195e6 1.54683e6i 0.818090 1.06166i
\(293\) 888225.i 0.604441i 0.953238 + 0.302220i \(0.0977279\pi\)
−0.953238 + 0.302220i \(0.902272\pi\)
\(294\) 397267. 593239.i 0.268049 0.400278i
\(295\) 1.68452e6 + 2.91768e6i 1.12699 + 1.95201i
\(296\) 20547.6 101670.i 0.0136311 0.0674473i
\(297\) 2.49619e6i 1.64205i
\(298\) 1.64971e6 2.46351e6i 1.07613 1.60699i
\(299\) −81654.8 + 141430.i −0.0528207 + 0.0914881i
\(300\) 2.30181e6 + 307824.i 1.47661 + 0.197469i
\(301\) −524332. + 908169.i −0.333572 + 0.577764i
\(302\) 1.29601e6 + 86274.5i 0.817693 + 0.0544334i
\(303\) −1.32755e6 −0.830702
\(304\) −1.55241e6 431756.i −0.963433 0.267951i
\(305\) −1.29360e6 −0.796253
\(306\) 573589. + 38183.5i 0.350185 + 0.0233116i
\(307\) 354871. 614655.i 0.214894 0.372208i −0.738345 0.674423i \(-0.764393\pi\)
0.953240 + 0.302215i \(0.0977259\pi\)
\(308\) −1.49574e6 200028.i −0.898420 0.120147i
\(309\) −83600.7 + 144801.i −0.0498097 + 0.0862729i
\(310\) −1.26259e6 + 1.88542e6i −0.746202 + 1.11430i
\(311\) 798830.i 0.468332i −0.972197 0.234166i \(-0.924764\pi\)
0.972197 0.234166i \(-0.0752359\pi\)
\(312\) 377122. 1.86602e6i 0.219329 1.08525i
\(313\) 1.27910e6 + 2.21546e6i 0.737977 + 1.27821i 0.953405 + 0.301694i \(0.0975522\pi\)
−0.215427 + 0.976520i \(0.569114\pi\)
\(314\) −131731. + 196714.i −0.0753986 + 0.112593i
\(315\) 807605.i 0.458588i
\(316\) −1.33122e6 + 1.72756e6i −0.749951 + 0.973231i
\(317\) 1.83125e6 1.05727e6i 1.02352 0.590932i 0.108402 0.994107i \(-0.465427\pi\)
0.915123 + 0.403175i \(0.132093\pi\)
\(318\) 73622.1 1.10595e6i 0.0408264 0.613290i
\(319\) 1.81641e6 + 3.14611e6i 0.999394 + 1.73100i
\(320\) −2.52920e6 + 1.91621e6i −1.38073 + 1.04609i
\(321\) −846382. + 1.46598e6i −0.458462 + 0.794080i
\(322\) 34665.0 + 70475.1i 0.0186317 + 0.0378788i
\(323\) 745336. 1.27507e6i 0.397508 0.680029i
\(324\) 410505. 532724.i 0.217248 0.281929i
\(325\) −4.90591e6 2.83243e6i −2.57638 1.48748i
\(326\) −22663.3 + 340446.i −0.0118108 + 0.177421i
\(327\) −325621. + 187997.i −0.168400 + 0.0972259i
\(328\) −429864. 379317.i −0.220621 0.194679i
\(329\) 78896.6 + 136653.i 0.0401854 + 0.0696032i
\(330\) −3.49299e6 + 1.71812e6i −1.76568 + 0.868498i
\(331\) 2.12291e6 1.06503 0.532515 0.846421i \(-0.321247\pi\)
0.532515 + 0.846421i \(0.321247\pi\)
\(332\) 418338. 3.12820e6i 0.208297 1.55757i
\(333\) −53728.1 + 31020.0i −0.0265516 + 0.0153296i
\(334\) 489383. + 994930.i 0.240039 + 0.488008i
\(335\) −175809. −0.0855914
\(336\) −644743. 650033.i −0.311557 0.314114i
\(337\) −1.71764e6 991677.i −0.823865 0.475659i 0.0278823 0.999611i \(-0.491124\pi\)
−0.851748 + 0.523952i \(0.824457\pi\)
\(338\) −1.41525e6 + 2.11340e6i −0.673818 + 1.00621i
\(339\) −267057. 154186.i −0.126213 0.0728693i
\(340\) −1.10753e6 2.68934e6i −0.519587 1.26168i
\(341\) 2.53600e6i 1.18104i
\(342\) 420718. + 867080.i 0.194503 + 0.400861i
\(343\) 2.13220e6i 0.978570i
\(344\) −1.84784e6 1.63056e6i −0.841914 0.742915i
\(345\) 175453. + 101298.i 0.0793620 + 0.0458196i
\(346\) 1.17550e6 + 787182.i 0.527876 + 0.353496i
\(347\) 3.32833e6 + 1.92161e6i 1.48389 + 0.856726i 0.999832 0.0183083i \(-0.00582804\pi\)
0.484061 + 0.875034i \(0.339161\pi\)
\(348\) −292150. + 2.18460e6i −0.129318 + 0.966995i
\(349\) 1.58478e6 0.696474 0.348237 0.937407i \(-0.386781\pi\)
0.348237 + 0.937407i \(0.386781\pi\)
\(350\) −2.44463e6 + 1.20245e6i −1.06670 + 0.524685i
\(351\) −3.19930e6 + 1.84712e6i −1.38608 + 0.800253i
\(352\) 1.15707e6 3.35226e6i 0.497739 1.44205i
\(353\) −1.77425e6 −0.757841 −0.378921 0.925429i \(-0.623705\pi\)
−0.378921 + 0.925429i \(0.623705\pi\)
\(354\) −1.00828e6 2.04986e6i −0.427634 0.869394i
\(355\) −3.72586e6 6.45338e6i −1.56912 2.71779i
\(356\) −3.17087e6 + 1.30584e6i −1.32603 + 0.546089i
\(357\) 726759. 419594.i 0.301800 0.174244i
\(358\) 4.49962e6 + 299537.i 1.85553 + 0.123522i
\(359\) −3.43750e6 1.98464e6i −1.40769 0.812729i −0.412523 0.910947i \(-0.635352\pi\)
−0.995165 + 0.0982180i \(0.968686\pi\)
\(360\) 1.86028e6 + 375964.i 0.756525 + 0.152894i
\(361\) 2.47596e6 + 26641.2i 0.999942 + 0.0107593i
\(362\) −2.37401e6 + 1.16772e6i −0.952161 + 0.468345i
\(363\) 1.24057e6 2.14872e6i 0.494144 0.855882i
\(364\) 850442. + 2.06507e6i 0.336427 + 0.816924i
\(365\) 2.95471e6 + 5.11771e6i 1.16087 + 2.01068i
\(366\) 875204. + 58261.8i 0.341512 + 0.0227343i
\(367\) −3.58897e6 + 2.07209e6i −1.39093 + 0.803052i −0.993418 0.114546i \(-0.963459\pi\)
−0.397510 + 0.917598i \(0.630125\pi\)
\(368\) −178474. + 47041.2i −0.0686998 + 0.0181075i
\(369\) 342895.i 0.131098i
\(370\) 260810. + 174653.i 0.0990421 + 0.0663243i
\(371\) 650143. + 1.12608e6i 0.245230 + 0.424751i
\(372\) 939135. 1.21874e6i 0.351861 0.456619i
\(373\) 2.69219e6i 1.00192i 0.865470 + 0.500961i \(0.167020\pi\)
−0.865470 + 0.500961i \(0.832980\pi\)
\(374\) 2.70088e6 + 1.80866e6i 0.998449 + 0.668618i
\(375\) −1.75753e6 + 3.04413e6i −0.645394 + 1.11785i
\(376\) −351503. + 118119.i −0.128221 + 0.0430874i
\(377\) 2.68820e6 4.65610e6i 0.974110 1.68721i
\(378\) −118009. + 1.77272e6i −0.0424800 + 0.638131i
\(379\) −1.09327e6 −0.390958 −0.195479 0.980708i \(-0.562626\pi\)
−0.195479 + 0.980708i \(0.562626\pi\)
\(380\) 2.99701e6 3.84632e6i 1.06470 1.36643i
\(381\) −989314. −0.349158
\(382\) 255967. 3.84511e6i 0.0897480 1.34819i
\(383\) 1.20211e6 2.08212e6i 0.418744 0.725285i −0.577070 0.816695i \(-0.695804\pi\)
0.995813 + 0.0914095i \(0.0291372\pi\)
\(384\) 1.79747e6 1.18253e6i 0.622062 0.409245i
\(385\) 2.28330e6 3.95479e6i 0.785076 1.35979i
\(386\) 544476. + 364612.i 0.185999 + 0.124555i
\(387\) 1.47399e6i 0.500284i
\(388\) −1.24420e6 958750.i −0.419575 0.323315i
\(389\) −1.39735e6 2.42028e6i −0.468200 0.810947i 0.531139 0.847285i \(-0.321764\pi\)
−0.999340 + 0.0363377i \(0.988431\pi\)
\(390\) 4.78681e6 + 3.20552e6i 1.59362 + 1.06718i
\(391\) 169175.i 0.0559621i
\(392\) −1.92933e6 389917.i −0.634148 0.128161i
\(393\) −1.55304e6 + 896648.i −0.507226 + 0.292847i
\(394\) 3.67888e6 + 244901.i 1.19392 + 0.0794785i
\(395\) −3.29995e6 5.71568e6i −1.06418 1.84321i
\(396\) −1.96130e6 + 807708.i −0.628503 + 0.258831i
\(397\) −384469. + 665920.i −0.122429 + 0.212054i −0.920725 0.390212i \(-0.872402\pi\)
0.798296 + 0.602265i \(0.205735\pi\)
\(398\) −3.40065e6 + 1.67270e6i −1.07611 + 0.529310i
\(399\) 1.21462e6 + 710001.i 0.381952 + 0.223268i
\(400\) −1.63176e6 6.19088e6i −0.509924 1.93465i
\(401\) −1.64536e6 949947.i −0.510974 0.295011i 0.222260 0.974987i \(-0.428657\pi\)
−0.733234 + 0.679976i \(0.761990\pi\)
\(402\) 118946. + 7918.18i 0.0367101 + 0.00244377i
\(403\) −3.25033e6 + 1.87658e6i −0.996932 + 0.575579i
\(404\) 1.39367e6 + 3.38417e6i 0.424823 + 1.03157i
\(405\) 1.01760e6 + 1.76253e6i 0.308275 + 0.533948i
\(406\) −1.14123e6 2.32015e6i −0.343602 0.698555i
\(407\) −350805. −0.104973
\(408\) 628191. + 1.86939e6i 0.186828 + 0.555968i
\(409\) −4.29366e6 + 2.47895e6i −1.26917 + 0.732755i −0.974831 0.222946i \(-0.928433\pi\)
−0.294339 + 0.955701i \(0.595099\pi\)
\(410\) 1.55673e6 765719.i 0.457356 0.224962i
\(411\) 2.44100e6 0.712792
\(412\) 456887. + 61100.2i 0.132607 + 0.0177337i
\(413\) 2.32087e6 + 1.33996e6i 0.669539 + 0.386559i
\(414\) 91726.3 + 61425.2i 0.0263023 + 0.0176135i
\(415\) 8.27107e6 + 4.77530e6i 2.35744 + 1.36107i
\(416\) −5.15271e6 + 997607.i −1.45983 + 0.282635i
\(417\) 722525.i 0.203476i
\(418\) −391221. + 5.43552e6i −0.109517 + 1.52160i
\(419\) 115561.i 0.0321570i 0.999871 + 0.0160785i \(0.00511817\pi\)
−0.999871 + 0.0160785i \(0.994882\pi\)
\(420\) 2.56185e6 1.05502e6i 0.708647 0.291836i
\(421\) −2.78392e6 1.60730e6i −0.765511 0.441968i 0.0657597 0.997835i \(-0.479053\pi\)
−0.831271 + 0.555867i \(0.812386\pi\)
\(422\) −421935. + 630076.i −0.115336 + 0.172231i
\(423\) 192078. + 110896.i 0.0521946 + 0.0301346i
\(424\) −2.89654e6 + 973354.i −0.782465 + 0.262940i
\(425\) 5.86831e6 1.57594
\(426\) 2.23013e6 + 4.53393e6i 0.595397 + 1.21046i
\(427\) −891138. + 514499.i −0.236524 + 0.136557i
\(428\) 4.62557e6 + 618585.i 1.22055 + 0.163226i
\(429\) −6.43854e6 −1.68906
\(430\) 6.69186e6 3.29156e6i 1.74532 0.858482i
\(431\) 2.31268e6 + 4.00568e6i 0.599683 + 1.03868i 0.992868 + 0.119222i \(0.0380402\pi\)
−0.393184 + 0.919460i \(0.628627\pi\)
\(432\) −4.02845e6 1.09708e6i −1.03855 0.282832i
\(433\) −2.29795e6 + 1.32672e6i −0.589007 + 0.340063i −0.764705 0.644381i \(-0.777115\pi\)
0.175698 + 0.984444i \(0.443782\pi\)
\(434\) −119891. + 1.80099e6i −0.0305536 + 0.458974i
\(435\) −5.77617e6 3.33487e6i −1.46358 0.844999i
\(436\) 821077. + 632704.i 0.206856 + 0.159399i
\(437\) 246386. 140489.i 0.0617180 0.0351915i
\(438\) −1.76856e6 3.59553e6i −0.440488 0.895526i
\(439\) 1.82636e6 3.16334e6i 0.452298 0.783402i −0.546231 0.837635i \(-0.683938\pi\)
0.998528 + 0.0542323i \(0.0172712\pi\)
\(440\) 8.04676e6 + 7.10056e6i 1.98148 + 1.74848i
\(441\) 588644. + 1.01956e6i 0.144131 + 0.249642i
\(442\) 319534. 4.80002e6i 0.0777969 1.16866i
\(443\) −4.03721e6 + 2.33089e6i −0.977400 + 0.564302i −0.901484 0.432812i \(-0.857521\pi\)
−0.0759160 + 0.997114i \(0.524188\pi\)
\(444\) −168588. 129911.i −0.0405854 0.0312743i
\(445\) 1.03773e7i 2.48419i
\(446\) 1.34590e6 2.00984e6i 0.320388 0.478435i
\(447\) −3.04181e6 5.26856e6i −0.720050 1.24716i
\(448\) −980194. + 2.32597e6i −0.230737 + 0.547532i
\(449\) 1.79971e6i 0.421295i −0.977562 0.210648i \(-0.932443\pi\)
0.977562 0.210648i \(-0.0675572\pi\)
\(450\) −2.13070e6 + 3.18178e6i −0.496012 + 0.740695i
\(451\) −969450. + 1.67914e6i −0.224432 + 0.388727i
\(452\) −112688. + 842641.i −0.0259436 + 0.193998i
\(453\) 1.33258e6 2.30810e6i 0.305105 0.528457i
\(454\) 1.31298e6 + 87404.6i 0.298965 + 0.0199019i
\(455\) −6.75836e6 −1.53043
\(456\) −2.20090e6 + 2.46730e6i −0.495665 + 0.555661i
\(457\) 6.84586e6 1.53334 0.766669 0.642043i \(-0.221913\pi\)
0.766669 + 0.642043i \(0.221913\pi\)
\(458\) −352108. 23439.6i −0.0784354 0.00522140i
\(459\) 1.91346e6 3.31421e6i 0.423924 0.734257i
\(460\) 74034.2 553603.i 0.0163131 0.121984i
\(461\) −105229. + 182263.i −0.0230613 + 0.0399434i −0.877326 0.479895i \(-0.840675\pi\)
0.854264 + 0.519839i \(0.174008\pi\)
\(462\) −1.72292e6 + 2.57283e6i −0.375543 + 0.560798i
\(463\) 2.62426e6i 0.568923i 0.958687 + 0.284462i \(0.0918148\pi\)
−0.958687 + 0.284462i \(0.908185\pi\)
\(464\) 5.87564e6 1.54867e6i 1.26695 0.333936i
\(465\) 2.32801e6 + 4.03223e6i 0.499290 + 0.864795i
\(466\) 3.04920e6 4.55337e6i 0.650460 0.971333i
\(467\) 8.24187e6i 1.74877i −0.485230 0.874387i \(-0.661264\pi\)
0.485230 0.874387i \(-0.338736\pi\)
\(468\) 2.48654e6 + 1.91607e6i 0.524784 + 0.404387i
\(469\) −121112. + 69923.9i −0.0254246 + 0.0146789i
\(470\) 74535.7 1.11967e6i 0.0155639 0.233800i
\(471\) 242891. + 420700.i 0.0504498 + 0.0873816i
\(472\) −4.16697e6 + 4.72224e6i −0.860924 + 0.975648i
\(473\) −4.16733e6 + 7.21803e6i −0.856457 + 1.48343i
\(474\) 1.97520e6 + 4.01565e6i 0.403799 + 0.820936i
\(475\) 4.87325e6 + 8.54657e6i 0.991025 + 1.73803i
\(476\) −1.83258e6 1.41214e6i −0.370719 0.285668i
\(477\) 1.58280e6 + 913832.i 0.318516 + 0.183895i
\(478\) −80564.9 + 1.21024e6i −0.0161278 + 0.242271i
\(479\) 2.65647e6 1.53371e6i 0.529012 0.305425i −0.211602 0.977356i \(-0.567868\pi\)
0.740614 + 0.671931i \(0.234535\pi\)
\(480\) 1.23759e6 + 6.39225e6i 0.245174 + 1.26634i
\(481\) 259587. + 449618.i 0.0511589 + 0.0886097i
\(482\) 298255. 146705.i 0.0584751 0.0287625i
\(483\) 161155. 0.0314322
\(484\) −6.77984e6 906677.i −1.31555 0.175930i
\(485\) 4.11645e6 2.37663e6i 0.794636 0.458783i
\(486\) 1.86468e6 + 3.79096e6i 0.358108 + 0.728046i
\(487\) 3.54472e6 0.677266 0.338633 0.940918i \(-0.390035\pi\)
0.338633 + 0.940918i \(0.390035\pi\)
\(488\) −770276. 2.29221e6i −0.146419 0.435718i
\(489\) 606311. + 350054.i 0.114663 + 0.0662007i
\(490\) 3.31428e6 4.94921e6i 0.623589 0.931206i
\(491\) −6.12331e6 3.53530e6i −1.14626 0.661793i −0.198286 0.980144i \(-0.563537\pi\)
−0.947973 + 0.318351i \(0.896871\pi\)
\(492\) −1.08771e6 + 447945.i −0.202583 + 0.0834280i
\(493\) 5.56950e6i 1.03205i
\(494\) 7.25607e6 3.52074e6i 1.33778 0.649107i
\(495\) 6.41876e6i 1.17744i
\(496\) −4.09270e6 1.11458e6i −0.746974 0.203426i
\(497\) −5.13335e6 2.96374e6i −0.932202 0.538207i
\(498\) −5.38083e6 3.60331e6i −0.972246 0.651071i
\(499\) −14359.8 8290.65i −0.00258165 0.00149052i 0.498709 0.866770i \(-0.333808\pi\)
−0.501290 + 0.865279i \(0.667141\pi\)
\(500\) 9.60510e6 + 1.28450e6i 1.71821 + 0.229779i
\(501\) 2.27510e6 0.404954
\(502\) −279309. + 137386.i −0.0494682 + 0.0243322i
\(503\) 926489. 534909.i 0.163275 0.0942670i −0.416136 0.909302i \(-0.636616\pi\)
0.579411 + 0.815035i \(0.303283\pi\)
\(504\) 1.43105e6 480889.i 0.250944 0.0843273i
\(505\) −1.10754e7 −1.93254
\(506\) 275514. + 560129.i 0.0478374 + 0.0972550i
\(507\) 2.60951e6 + 4.51981e6i 0.450857 + 0.780908i
\(508\) 1.03859e6 + 2.52194e6i 0.178560 + 0.433586i
\(509\) 1.09783e6 633835.i 0.187820 0.108438i −0.403142 0.915138i \(-0.632082\pi\)
0.590962 + 0.806700i \(0.298748\pi\)
\(510\) −5.95471e6 396402.i −1.01376 0.0674854i
\(511\) 4.07089e6 + 2.35033e6i 0.689664 + 0.398177i
\(512\) −4.90147e6 3.34065e6i −0.826327 0.563191i
\(513\) 6.41580e6 + 34515.9i 1.07636 + 0.00579062i
\(514\) −1.01345e7 + 4.98491e6i −1.69197 + 0.832241i
\(515\) −697455. + 1.20803e6i −0.115877 + 0.200705i
\(516\) −4.67571e6 + 1.92556e6i −0.773078 + 0.318371i
\(517\) 627062. + 1.08610e6i 0.103177 + 0.178708i
\(518\) 249131. + 16584.5i 0.0407947 + 0.00271568i
\(519\) 2.51397e6 1.45144e6i 0.409677 0.236527i
\(520\) 3.14621e6 1.55676e7i 0.510246 2.52472i
\(521\) 1.51843e6i 0.245075i −0.992464 0.122538i \(-0.960897\pi\)
0.992464 0.122538i \(-0.0391032\pi\)
\(522\) −3.01977e6 2.02221e6i −0.485062 0.324825i
\(523\) −787801. 1.36451e6i −0.125940 0.218134i 0.796160 0.605086i \(-0.206861\pi\)
−0.922100 + 0.386952i \(0.873528\pi\)
\(524\) 3.91611e6 + 3.01767e6i 0.623055 + 0.480113i
\(525\) 5.59010e6i 0.885160i
\(526\) 2.36011e6 + 1.58046e6i 0.371935 + 0.249069i
\(527\) 1.94398e6 3.36707e6i 0.304906 0.528112i
\(528\) −5.12435e6 5.16640e6i −0.799933 0.806497i
\(529\) −3.20193e6 + 5.54590e6i −0.497476 + 0.861654i
\(530\) 614207. 9.22656e6i 0.0949784 1.42676i
\(531\) 3.76685e6 0.579752
\(532\) 534801. 3.84165e6i 0.0819244 0.588489i
\(533\) 2.86948e6 0.437507
\(534\) −467378. + 7.02092e6i −0.0709276 + 1.06547i
\(535\) −7.06110e6 + 1.22302e7i −1.06657 + 1.84735i
\(536\) −104686. 311528.i −0.0157390 0.0468365i
\(537\) 4.62660e6 8.01351e6i 0.692351 1.19919i
\(538\) −997148. 667747.i −0.148527 0.0994619i
\(539\) 6.65698e6i 0.986974i
\(540\) 7.71191e6 1.00080e7i 1.13809 1.47693i
\(541\) 1.31103e6 + 2.27076e6i 0.192583 + 0.333564i 0.946106 0.323858i \(-0.104980\pi\)
−0.753522 + 0.657422i \(0.771647\pi\)
\(542\) −5.43140e6 3.63718e6i −0.794170 0.531822i
\(543\) 5.42861e6i 0.790113i
\(544\) 4.10593e6 3.56387e6i 0.594860 0.516327i
\(545\) −2.71655e6 + 1.56840e6i −0.391766 + 0.226186i
\(546\) 4.57246e6 + 304386.i 0.656400 + 0.0436961i
\(547\) −2.65512e6 4.59881e6i −0.379417 0.657169i 0.611561 0.791197i \(-0.290542\pi\)
−0.990977 + 0.134029i \(0.957209\pi\)
\(548\) −2.56258e6 6.22253e6i −0.364523 0.885148i
\(549\) −723173. + 1.25257e6i −0.102403 + 0.177367i
\(550\) −1.94296e7 + 9.55698e6i −2.73879 + 1.34714i
\(551\) −8.11138e6 + 4.62511e6i −1.13819 + 0.648997i
\(552\) −75022.3 + 371213.i −0.0104795 + 0.0518533i
\(553\) −4.54655e6 2.62495e6i −0.632221 0.365013i
\(554\) 656694. + 43715.7i 0.0909051 + 0.00605150i
\(555\) 557779. 322034.i 0.0768651 0.0443781i
\(556\) −1.84185e6 + 758513.i −0.252677 + 0.104058i
\(557\) −537055. 930207.i −0.0733468 0.127040i 0.827019 0.562173i \(-0.190035\pi\)
−0.900366 + 0.435133i \(0.856701\pi\)
\(558\) 1.11979e6 + 2.27656e6i 0.152247 + 0.309524i
\(559\) 1.23349e7 1.66958
\(560\) −5.37889e6 5.42303e6i −0.724807 0.730755i
\(561\) 5.77620e6 3.33489e6i 0.774882 0.447378i
\(562\) 665821. 327501.i 0.0889235 0.0437393i
\(563\) 8.11160e6 1.07854 0.539269 0.842133i \(-0.318701\pi\)
0.539269 + 0.842133i \(0.318701\pi\)
\(564\) −100856. + 754170.i −0.0133507 + 0.0998324i
\(565\) −2.22798e6 1.28632e6i −0.293623 0.169523i
\(566\) −4.20966e6 2.81903e6i −0.552339 0.369878i
\(567\) 1.40201e6 + 809449.i 0.183144 + 0.105738i
\(568\) 9.21659e6 1.04448e7i 1.19867 1.35840i
\(569\) 7.50673e6i 0.972009i 0.873956 + 0.486004i \(0.161546\pi\)
−0.873956 + 0.486004i \(0.838454\pi\)
\(570\) −4.36768e6 9.00159e6i −0.563072 1.16047i
\(571\) 5.77940e6i 0.741809i −0.928671 0.370905i \(-0.879048\pi\)
0.928671 0.370905i \(-0.120952\pi\)
\(572\) 6.75923e6 + 1.64130e7i 0.863788 + 2.09748i
\(573\) −6.84788e6 3.95362e6i −0.871303 0.503047i
\(574\) 767857. 1.14664e6i 0.0972749 0.145261i
\(575\) 975949. + 563465.i 0.123100 + 0.0710718i
\(576\) 441514. + 3.52022e6i 0.0554483 + 0.442093i
\(577\) −3.26363e6 −0.408095 −0.204047 0.978961i \(-0.565410\pi\)
−0.204047 + 0.978961i \(0.565410\pi\)
\(578\) −1.34552e6 2.73550e6i −0.167522 0.340578i
\(579\) 1.16444e6 672288.i 0.144351 0.0833411i
\(580\) −2.43732e6 + 1.82255e7i −0.300844 + 2.24962i
\(581\) 7.59704e6 0.933693
\(582\) −2.89208e6 + 1.42254e6i −0.353918 + 0.174084i
\(583\) 5.16727e6 + 8.94997e6i 0.629636 + 1.09056i
\(584\) −7.30901e6 + 8.28298e6i −0.886801 + 1.00497i
\(585\) −8.22678e6 + 4.74973e6i −0.993894 + 0.573825i
\(586\) 333743. 5.01346e6i 0.0401484 0.603106i
\(587\) −8.22017e6 4.74592e6i −0.984659 0.568493i −0.0809853 0.996715i \(-0.525807\pi\)
−0.903673 + 0.428222i \(0.859140\pi\)
\(588\) −2.46522e6 + 3.19919e6i −0.294044 + 0.381589i
\(589\) 6.51813e6 + 35066.4i 0.774168 + 0.00416488i
\(590\) −8.41176e6 1.71014e7i −0.994848 2.02256i
\(591\) 3.78270e6 6.55183e6i 0.445485 0.771603i
\(592\) −154180. + 566143.i −0.0180810 + 0.0663929i
\(593\) −8.28769e6 1.43547e7i −0.967825 1.67632i −0.701825 0.712349i \(-0.747631\pi\)
−0.266000 0.963973i \(-0.585702\pi\)
\(594\) −937922. + 1.40894e7i −0.109069 + 1.63842i
\(595\) 6.06312e6 3.50055e6i 0.702108 0.405362i
\(596\) −1.02372e7 + 1.32851e7i −1.18050 + 1.53196i
\(597\) 7.77624e6i 0.892964i
\(598\) 514031. 767603.i 0.0587809 0.0877775i
\(599\) 2.33169e6 + 4.03861e6i 0.265524 + 0.459901i 0.967701 0.252101i \(-0.0811216\pi\)
−0.702177 + 0.712003i \(0.747788\pi\)
\(600\) −1.28766e7 2.60236e6i −1.46023 0.295113i
\(601\) 885235.i 0.0999707i −0.998750 0.0499853i \(-0.984083\pi\)
0.998750 0.0499853i \(-0.0159175\pi\)
\(602\) 3.30075e6 4.92902e6i 0.371212 0.554331i
\(603\) −98284.2 + 170233.i −0.0110075 + 0.0190656i
\(604\) −7.28272e6 973929.i −0.812272 0.108626i
\(605\) 1.03497e7 1.79261e7i 1.14958 1.99112i
\(606\) 7.49318e6 + 498817.i 0.828867 + 0.0551772i
\(607\) −1.23009e7 −1.35508 −0.677540 0.735486i \(-0.736954\pi\)
−0.677540 + 0.735486i \(0.736954\pi\)
\(608\) 8.60011e6 + 3.02029e6i 0.943507 + 0.331352i
\(609\) −5.30546e6 −0.579669
\(610\) 7.30156e6 + 486060.i 0.794494 + 0.0528890i
\(611\) 928023. 1.60738e6i 0.100567 0.174187i
\(612\) −3.22319e6 431043.i −0.347863 0.0465202i
\(613\) −8.07473e6 + 1.39859e7i −0.867915 + 1.50327i −0.00379111 + 0.999993i \(0.501207\pi\)
−0.864124 + 0.503280i \(0.832127\pi\)
\(614\) −2.23397e6 + 3.33600e6i −0.239143 + 0.357112i
\(615\) 3.55976e6i 0.379519i
\(616\) 8.36734e6 + 1.69104e6i 0.888456 + 0.179557i
\(617\) −689725. 1.19464e6i −0.0729395 0.126335i 0.827249 0.561836i \(-0.189905\pi\)
−0.900188 + 0.435501i \(0.856571\pi\)
\(618\) 526280. 785895.i 0.0554302 0.0827739i
\(619\) 1.54113e7i 1.61664i −0.588746 0.808318i \(-0.700378\pi\)
0.588746 0.808318i \(-0.299622\pi\)
\(620\) 7.83492e6 1.01676e7i 0.818569 1.06228i
\(621\) 636449. 367454.i 0.0662269 0.0382361i
\(622\) −300154. + 4.50889e6i −0.0311077 + 0.467297i
\(623\) −4.12733e6 7.14874e6i −0.426038 0.737920i
\(624\) −2.82975e6 + 1.03908e7i −0.290929 + 1.06828i
\(625\) −4.89339e6 + 8.47560e6i −0.501083 + 0.867901i
\(626\) −6.38725e6 1.29855e7i −0.651446 1.32441i
\(627\) 9.65368e6 + 5.64302e6i 0.980672 + 0.573248i
\(628\) 817450. 1.06083e6i 0.0827108 0.107336i
\(629\) −465767. 268911.i −0.0469399 0.0271008i
\(630\) −303451. + 4.55841e6i −0.0304605 + 0.457575i
\(631\) 1.60506e7 9.26684e6i 1.60479 0.926527i 0.614282 0.789087i \(-0.289446\pi\)
0.990510 0.137440i \(-0.0438875\pi\)
\(632\) 8.16301e6 9.25079e6i 0.812939 0.921269i
\(633\) 777983. + 1.34751e6i 0.0771722 + 0.133666i
\(634\) −1.07335e7 + 5.27954e6i −1.06052 + 0.521642i
\(635\) −8.25354e6 −0.812280
\(636\) −831100. + 6.21469e6i −0.0814724 + 0.609224i
\(637\) 8.53210e6 4.92601e6i 0.833120 0.481002i
\(638\) −9.07034e6 1.84403e7i −0.882210 1.79356i
\(639\) −8.33160e6 −0.807191
\(640\) 1.49957e7 9.86547e6i 1.44717 0.952068i
\(641\) 3.71188e6 + 2.14305e6i 0.356820 + 0.206010i 0.667685 0.744444i \(-0.267285\pi\)
−0.310865 + 0.950454i \(0.600619\pi\)
\(642\) 5.32811e6 7.95648e6i 0.510195 0.761875i
\(643\) 1.40576e7 + 8.11615e6i 1.34086 + 0.774146i 0.986934 0.161128i \(-0.0515131\pi\)
0.353926 + 0.935273i \(0.384846\pi\)
\(644\) −169182. 410812.i −0.0160745 0.0390327i
\(645\) 1.53022e7i 1.44829i
\(646\) −4.68604e6 + 6.91690e6i −0.441799 + 0.652124i
\(647\) 5.56066e6i 0.522235i 0.965307 + 0.261117i \(0.0840910\pi\)
−0.965307 + 0.261117i \(0.915909\pi\)
\(648\) −2.51721e6 + 2.85264e6i −0.235495 + 0.266876i
\(649\) 1.84460e7 + 1.06498e7i 1.71906 + 0.992501i
\(650\) 2.66264e7 + 1.78306e7i 2.47189 + 1.65532i
\(651\) 3.20745e6 + 1.85182e6i 0.296624 + 0.171256i
\(652\) 255840. 1.91308e6i 0.0235694 0.176244i
\(653\) −1.52769e7 −1.40201 −0.701007 0.713155i \(-0.747266\pi\)
−0.701007 + 0.713155i \(0.747266\pi\)
\(654\) 1.90856e6 938775.i 0.174486 0.0858256i
\(655\) −1.29565e7 + 7.48046e6i −1.18001 + 0.681279i
\(656\) 2.28378e6 + 2.30252e6i 0.207203 + 0.208903i
\(657\) 6.60719e6 0.597177
\(658\) −393975. 800963.i −0.0354735 0.0721187i
\(659\) 457868. + 793051.i 0.0410702 + 0.0711357i 0.885830 0.464010i \(-0.153590\pi\)
−0.844760 + 0.535146i \(0.820257\pi\)
\(660\) 2.03613e7 8.38523e6i 1.81947 0.749299i
\(661\) −1.14075e7 + 6.58613e6i −1.01552 + 0.586309i −0.912802 0.408401i \(-0.866086\pi\)
−0.102715 + 0.994711i \(0.532753\pi\)
\(662\) −1.19825e7 797667.i −1.06268 0.0707419i
\(663\) −8.54851e6 4.93548e6i −0.755278 0.436060i
\(664\) −3.53665e6 + 1.74995e7i −0.311294 + 1.54030i
\(665\) 1.01332e7 + 5.92332e6i 0.888572 + 0.519411i
\(666\) 314916. 154900.i 0.0275112 0.0135321i
\(667\) −534773. + 926254.i −0.0465431 + 0.0806150i
\(668\) −2.38841e6 5.79963e6i −0.207095 0.502874i
\(669\) −2.48163e6 4.29831e6i −0.214374 0.371307i
\(670\) 992332. + 66059.0i 0.0854024 + 0.00568519i
\(671\) −7.08267e6 + 4.08918e6i −0.607283 + 0.350615i
\(672\) 3.39492e6 + 3.91128e6i 0.290005 + 0.334115i
\(673\) 1.08581e7i 0.924090i 0.886856 + 0.462045i \(0.152884\pi\)
−0.886856 + 0.462045i \(0.847116\pi\)
\(674\) 9.32234e6 + 6.24277e6i 0.790451 + 0.529331i
\(675\) 1.27462e7 + 2.20770e7i 1.07676 + 1.86501i
\(676\) 8.78230e6 1.13970e7i 0.739166 0.959235i
\(677\) 2.19193e7i 1.83804i 0.394208 + 0.919021i \(0.371019\pi\)
−0.394208 + 0.919021i \(0.628981\pi\)
\(678\) 1.44943e6 + 970624.i 0.121094 + 0.0810917i
\(679\) 1.89050e6 3.27444e6i 0.157363 0.272560i
\(680\) 5.24080e6 + 1.55958e7i 0.434636 + 1.29340i
\(681\) 1.35004e6 2.33834e6i 0.111552 0.193214i
\(682\) −952882. + 1.43141e7i −0.0784473 + 1.17843i
\(683\) 1.96139e7 1.60883 0.804417 0.594065i \(-0.202478\pi\)
0.804417 + 0.594065i \(0.202478\pi\)
\(684\) −2.04889e6 5.05219e6i −0.167447 0.412895i
\(685\) 2.03645e7 1.65824
\(686\) 801155. 1.20349e7i 0.0649990 0.976409i
\(687\) −362045. + 627081.i −0.0292665 + 0.0506911i
\(688\) 9.81720e6 + 9.89775e6i 0.790709 + 0.797197i
\(689\) 7.64731e6 1.32455e7i 0.613707 1.06297i
\(690\) −952257. 637686.i −0.0761432 0.0509899i
\(691\) 243069.i 0.0193658i −0.999953 0.00968288i \(-0.996918\pi\)
0.999953 0.00968288i \(-0.00308221\pi\)
\(692\) −6.33917e6 4.88482e6i −0.503231 0.387778i
\(693\) −2.55291e6 4.42176e6i −0.201930 0.349754i
\(694\) −1.80643e7 1.20969e7i −1.42371 0.953398i
\(695\) 6.02781e6i 0.473366i
\(696\) 2.46985e6 1.22209e7i 0.193262 0.956270i
\(697\) −2.57430e6 + 1.48627e6i −0.200713 + 0.115882i
\(698\) −8.94506e6 595467.i −0.694936 0.0462615i
\(699\) −5.62225e6 9.73802e6i −0.435228 0.753838i
\(700\) 1.42502e7 5.86853e6i 1.09920 0.452673i
\(701\) −5.62428e6 + 9.74154e6i −0.432287 + 0.748742i −0.997070 0.0764969i \(-0.975626\pi\)
0.564783 + 0.825239i \(0.308960\pi\)
\(702\) 1.87521e7 9.22370e6i 1.43617 0.706419i
\(703\) 4850.73 901653.i 0.000370185 0.0688099i
\(704\) −7.79048e6 + 1.84866e7i −0.592424 + 1.40581i
\(705\) −1.99405e6 1.15127e6i −0.151100 0.0872376i
\(706\) 1.00145e7 + 666660.i 0.756168 + 0.0503376i
\(707\) −7.62961e6 + 4.40496e6i −0.574055 + 0.331431i
\(708\) 4.92087e6 + 1.19490e7i 0.368943 + 0.895879i
\(709\) 8.16847e6 + 1.41482e7i 0.610275 + 1.05703i 0.991194 + 0.132418i \(0.0422743\pi\)
−0.380919 + 0.924608i \(0.624392\pi\)
\(710\) 1.86053e7 + 3.78252e7i 1.38513 + 2.81602i
\(711\) −7.37919e6 −0.547438
\(712\) 1.83882e7 6.17918e6i 1.35938 0.456805i
\(713\) 646601. 373315.i 0.0476335 0.0275012i
\(714\) −4.25975e6 + 2.09527e6i −0.312708 + 0.153813i
\(715\) −5.37147e7 −3.92942
\(716\) −2.52849e7 3.38139e6i −1.84323 0.246497i
\(717\) 2.15535e6 + 1.24439e6i 0.156574 + 0.0903983i
\(718\) 1.86568e7 + 1.24936e7i 1.35060 + 0.904436i
\(719\) −1.21236e6 699955.i −0.0874597 0.0504949i 0.455632 0.890168i \(-0.349413\pi\)
−0.543092 + 0.839673i \(0.682747\pi\)
\(720\) −1.03589e7 2.82106e6i −0.744698 0.202806i
\(721\) 1.10958e6i 0.0794917i
\(722\) −1.39652e7 1.08069e6i −0.997019 0.0771541i
\(723\) 682018.i 0.0485233i
\(724\) 1.38385e7 5.69900e6i 0.981167 0.404066i
\(725\) −3.21297e7 1.85501e7i −2.27019 1.31069i
\(726\) −7.80957e6 + 1.16620e7i −0.549902 + 0.821170i
\(727\) −2.87156e6 1.65789e6i −0.201503 0.116338i 0.395853 0.918314i \(-0.370449\pi\)
−0.597356 + 0.801976i \(0.703782\pi\)
\(728\) −4.02427e6 1.19756e7i −0.281422 0.837466i
\(729\) 1.37759e7 0.960063
\(730\) −1.47545e7 2.99964e7i −1.02475 2.08335i
\(731\) −1.10660e7 + 6.38897e6i −0.765945 + 0.442219i
\(732\) −4.91808e6 657701.i −0.339248 0.0453682i
\(733\) 4.59949e6 0.316191 0.158095 0.987424i \(-0.449465\pi\)
0.158095 + 0.987424i \(0.449465\pi\)
\(734\) 2.10360e7 1.03471e7i 1.44120 0.708890i
\(735\) −6.11101e6 1.05846e7i −0.417249 0.722696i
\(736\) 1.02505e6 198458.i 0.0697509 0.0135043i
\(737\) −962584. + 555748.i −0.0652785 + 0.0376886i
\(738\) 128840. 1.93542e6i 0.00870782 0.130808i
\(739\) −597732. 345101.i −0.0402620 0.0232453i 0.479734 0.877414i \(-0.340733\pi\)
−0.519996 + 0.854169i \(0.674067\pi\)
\(740\) −1.40648e6 1.08380e6i −0.0944180 0.0727564i
\(741\) 89028.5 1.65486e7i 0.00595640 1.10717i
\(742\) −3.24653e6 6.60029e6i −0.216476 0.440102i
\(743\) 1.33741e6 2.31646e6i 0.0888776 0.153941i −0.818159 0.574992i \(-0.805005\pi\)
0.907037 + 0.421051i \(0.138339\pi\)
\(744\) −5.75875e6 + 6.52615e6i −0.381414 + 0.432239i
\(745\) −2.53769e7 4.39540e7i −1.67512 2.90140i
\(746\) 1.01157e6 1.51957e7i 0.0665501 0.999710i
\(747\) 9.24769e6 5.33915e6i 0.606361 0.350083i
\(748\) −1.45651e7 1.12236e7i −0.951833 0.733461i
\(749\) 1.12335e7i 0.731664i
\(750\) 1.10639e7 1.65218e7i 0.718219 1.07252i
\(751\) −3.44587e6 5.96843e6i −0.222946 0.386154i 0.732755 0.680492i \(-0.238234\pi\)
−0.955701 + 0.294339i \(0.904901\pi\)
\(752\) 2.02839e6 534633.i 0.130800 0.0344755i
\(753\) 638694.i 0.0410493i
\(754\) −1.69227e7 + 2.52706e7i −1.08403 + 1.61878i
\(755\) 1.11173e7 1.92558e7i 0.709796 1.22940i
\(756\) 1.33217e6 9.96152e6i 0.0847724 0.633900i
\(757\) 2.68488e6 4.65034e6i 0.170288 0.294948i −0.768232 0.640171i \(-0.778863\pi\)
0.938521 + 0.345223i \(0.112197\pi\)
\(758\) 6.17082e6 + 410788.i 0.390094 + 0.0259684i
\(759\) 1.28084e6 0.0807033
\(760\) −1.83614e7 + 2.05839e7i −1.15311 + 1.29269i
\(761\) 2.27104e6 0.142156 0.0710778 0.997471i \(-0.477356\pi\)
0.0710778 + 0.997471i \(0.477356\pi\)
\(762\) 5.58404e6 + 371727.i 0.348387 + 0.0231919i
\(763\) −1.24759e6 + 2.16089e6i −0.0775818 + 0.134376i
\(764\) −2.88954e6 + 2.16070e7i −0.179100 + 1.33925i
\(765\) 4.92032e6 8.52225e6i 0.303976 0.526503i
\(766\) −7.56750e6 + 1.13006e7i −0.465994 + 0.695870i
\(767\) 3.15225e7i 1.93478i
\(768\) −1.05899e7 + 5.99923e6i −0.647872 + 0.367023i
\(769\) −8.46682e6 1.46650e7i −0.516303