Properties

Label 27.4.e.a.25.4
Level 27
Weight 4
Character 27.25
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0518956 + 0.294314i) q^{2} +(-2.82128 - 4.36353i) q^{3} +(7.43361 + 2.70561i) q^{4} +(15.3604 - 12.8889i) q^{5} +(1.43066 - 0.603897i) q^{6} +(-20.1945 + 7.35018i) q^{7} +(-2.37749 + 4.11794i) q^{8} +(-11.0807 + 24.6215i) q^{9} +O(q^{10})\) \(q+(-0.0518956 + 0.294314i) q^{2} +(-2.82128 - 4.36353i) q^{3} +(7.43361 + 2.70561i) q^{4} +(15.3604 - 12.8889i) q^{5} +(1.43066 - 0.603897i) q^{6} +(-20.1945 + 7.35018i) q^{7} +(-2.37749 + 4.11794i) q^{8} +(-11.0807 + 24.6215i) q^{9} +(2.99626 + 5.18968i) q^{10} +(0.558890 + 0.468965i) q^{11} +(-9.16632 - 40.0701i) q^{12} +(5.34792 + 30.3295i) q^{13} +(-1.11526 - 6.32496i) q^{14} +(-99.5773 - 30.6623i) q^{15} +(47.3909 + 39.7657i) q^{16} +(0.666388 + 1.15422i) q^{17} +(-6.67142 - 4.53896i) q^{18} +(-34.7473 + 60.1840i) q^{19} +(149.056 - 54.2519i) q^{20} +(89.0470 + 67.3821i) q^{21} +(-0.167027 + 0.140152i) q^{22} +(-110.791 - 40.3246i) q^{23} +(24.6763 - 1.24362i) q^{24} +(48.1122 - 272.858i) q^{25} -9.20396 q^{26} +(138.698 - 21.1133i) q^{27} -170.005 q^{28} +(-15.9844 + 90.6519i) q^{29} +(14.1920 - 27.7158i) q^{30} +(175.726 + 63.9590i) q^{31} +(-43.3032 + 36.3357i) q^{32} +(0.469551 - 3.76182i) q^{33} +(-0.374285 + 0.136229i) q^{34} +(-215.460 + 373.187i) q^{35} +(-148.986 + 153.047i) q^{36} +(-74.3188 - 128.724i) q^{37} +(-15.9098 - 13.3499i) q^{38} +(117.256 - 108.904i) q^{39} +(16.5565 + 93.8966i) q^{40} +(-55.1187 - 312.593i) q^{41} +(-24.4527 + 22.7110i) q^{42} +(-220.661 - 185.157i) q^{43} +(2.88574 + 4.99824i) q^{44} +(147.140 + 521.015i) q^{45} +(17.6177 - 30.5147i) q^{46} +(19.8826 - 7.23668i) q^{47} +(39.8154 - 318.982i) q^{48} +(91.0377 - 76.3897i) q^{49} +(77.8093 + 28.3203i) q^{50} +(3.15639 - 6.16418i) q^{51} +(-42.3057 + 239.928i) q^{52} +136.732 q^{53} +(-0.983887 + 41.9166i) q^{54} +14.6293 q^{55} +(17.7446 - 100.634i) q^{56} +(360.646 - 18.1757i) q^{57} +(-25.8506 - 9.40886i) q^{58} +(36.7754 - 30.8583i) q^{59} +(-657.259 - 497.349i) q^{60} +(509.543 - 185.458i) q^{61} +(-27.9435 + 48.3995i) q^{62} +(42.7965 - 578.663i) q^{63} +(239.011 + 413.979i) q^{64} +(473.062 + 396.946i) q^{65} +(1.08279 + 0.333417i) q^{66} +(-15.9741 - 90.5935i) q^{67} +(1.83080 + 10.3830i) q^{68} +(136.615 + 597.206i) q^{69} +(-98.6529 - 82.7796i) q^{70} +(-531.589 - 920.739i) q^{71} +(-75.0455 - 104.167i) q^{72} +(-342.332 + 592.936i) q^{73} +(41.7421 - 15.1929i) q^{74} +(-1326.36 + 559.871i) q^{75} +(-421.132 + 353.372i) q^{76} +(-14.7335 - 5.36254i) q^{77} +(25.9670 + 40.1617i) q^{78} +(-116.266 + 659.375i) q^{79} +1240.48 q^{80} +(-483.436 - 545.647i) q^{81} +94.8612 q^{82} +(96.8709 - 549.382i) q^{83} +(479.631 + 741.819i) q^{84} +(25.1126 + 9.14025i) q^{85} +(65.9457 - 55.3350i) q^{86} +(440.658 - 186.007i) q^{87} +(-3.25992 + 1.18652i) q^{88} +(-269.288 + 466.421i) q^{89} +(-160.978 + 16.2671i) q^{90} +(-330.926 - 573.181i) q^{91} +(-714.474 - 599.515i) q^{92} +(-216.686 - 947.232i) q^{93} +(1.09804 + 6.22729i) q^{94} +(241.975 + 1372.31i) q^{95} +(280.723 + 86.4413i) q^{96} +(226.888 + 190.381i) q^{97} +(17.7581 + 30.7580i) q^{98} +(-17.7395 + 8.56426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0518956 + 0.294314i −0.0183479 + 0.104056i −0.992606 0.121378i \(-0.961269\pi\)
0.974259 + 0.225434i \(0.0723799\pi\)
\(3\) −2.82128 4.36353i −0.542956 0.839761i
\(4\) 7.43361 + 2.70561i 0.929202 + 0.338202i
\(5\) 15.3604 12.8889i 1.37388 1.15282i 0.402463 0.915436i \(-0.368154\pi\)
0.971416 0.237385i \(-0.0762902\pi\)
\(6\) 1.43066 0.603897i 0.0973441 0.0410900i
\(7\) −20.1945 + 7.35018i −1.09040 + 0.396872i −0.823768 0.566927i \(-0.808132\pi\)
−0.266630 + 0.963799i \(0.585910\pi\)
\(8\) −2.37749 + 4.11794i −0.105071 + 0.181989i
\(9\) −11.0807 + 24.6215i −0.410397 + 0.911907i
\(10\) 2.99626 + 5.18968i 0.0947501 + 0.164112i
\(11\) 0.558890 + 0.468965i 0.0153193 + 0.0128544i 0.650415 0.759579i \(-0.274595\pi\)
−0.635096 + 0.772433i \(0.719039\pi\)
\(12\) −9.16632 40.0701i −0.220507 0.963936i
\(13\) 5.34792 + 30.3295i 0.114096 + 0.647069i 0.987194 + 0.159525i \(0.0509962\pi\)
−0.873098 + 0.487545i \(0.837893\pi\)
\(14\) −1.11526 6.32496i −0.0212904 0.120744i
\(15\) −99.5773 30.6623i −1.71405 0.527798i
\(16\) 47.3909 + 39.7657i 0.740483 + 0.621339i
\(17\) 0.666388 + 1.15422i 0.00950722 + 0.0164670i 0.870740 0.491744i \(-0.163640\pi\)
−0.861233 + 0.508211i \(0.830307\pi\)
\(18\) −6.67142 4.53896i −0.0873594 0.0594357i
\(19\) −34.7473 + 60.1840i −0.419556 + 0.726693i −0.995895 0.0905182i \(-0.971148\pi\)
0.576338 + 0.817211i \(0.304481\pi\)
\(20\) 149.056 54.2519i 1.66650 0.606555i
\(21\) 89.0470 + 67.3821i 0.925317 + 0.700189i
\(22\) −0.167027 + 0.140152i −0.00161865 + 0.00135821i
\(23\) −110.791 40.3246i −1.00441 0.365577i −0.213129 0.977024i \(-0.568365\pi\)
−0.791285 + 0.611447i \(0.790588\pi\)
\(24\) 24.6763 1.24362i 0.209876 0.0105772i
\(25\) 48.1122 272.858i 0.384898 2.18286i
\(26\) −9.20396 −0.0694248
\(27\) 138.698 21.1133i 0.988611 0.150491i
\(28\) −170.005 −1.14742
\(29\) −15.9844 + 90.6519i −0.102353 + 0.580470i 0.889892 + 0.456171i \(0.150779\pi\)
−0.992245 + 0.124299i \(0.960332\pi\)
\(30\) 14.1920 27.7158i 0.0863696 0.168673i
\(31\) 175.726 + 63.9590i 1.01811 + 0.370561i 0.796541 0.604585i \(-0.206661\pi\)
0.221566 + 0.975145i \(0.428883\pi\)
\(32\) −43.3032 + 36.3357i −0.239219 + 0.200728i
\(33\) 0.469551 3.76182i 0.00247692 0.0198439i
\(34\) −0.374285 + 0.136229i −0.00188792 + 0.000687148i
\(35\) −215.460 + 373.187i −1.04055 + 1.80229i
\(36\) −148.986 + 153.047i −0.689750 + 0.708549i
\(37\) −74.3188 128.724i −0.330214 0.571948i 0.652339 0.757927i \(-0.273788\pi\)
−0.982554 + 0.185979i \(0.940454\pi\)
\(38\) −15.9098 13.3499i −0.0679187 0.0569906i
\(39\) 117.256 108.904i 0.481435 0.447144i
\(40\) 16.5565 + 93.8966i 0.0654453 + 0.371159i
\(41\) −55.1187 312.593i −0.209953 1.19070i −0.889452 0.457028i \(-0.848914\pi\)
0.679499 0.733677i \(-0.262197\pi\)
\(42\) −24.4527 + 22.7110i −0.0898364 + 0.0834377i
\(43\) −220.661 185.157i −0.782571 0.656655i 0.161324 0.986902i \(-0.448424\pi\)
−0.943895 + 0.330246i \(0.892868\pi\)
\(44\) 2.88574 + 4.99824i 0.00988730 + 0.0171253i
\(45\) 147.140 + 521.015i 0.487431 + 1.72596i
\(46\) 17.6177 30.5147i 0.0564692 0.0978076i
\(47\) 19.8826 7.23668i 0.0617059 0.0224591i −0.310983 0.950416i \(-0.600658\pi\)
0.372689 + 0.927956i \(0.378436\pi\)
\(48\) 39.8154 318.982i 0.119726 0.959189i
\(49\) 91.0377 76.3897i 0.265416 0.222711i
\(50\) 77.8093 + 28.3203i 0.220078 + 0.0801018i
\(51\) 3.15639 6.16418i 0.00866633 0.0169247i
\(52\) −42.3057 + 239.928i −0.112822 + 0.639845i
\(53\) 136.732 0.354369 0.177184 0.984178i \(-0.443301\pi\)
0.177184 + 0.984178i \(0.443301\pi\)
\(54\) −0.983887 + 41.9166i −0.00247945 + 0.105632i
\(55\) 14.6293 0.0358656
\(56\) 17.7446 100.634i 0.0423432 0.240140i
\(57\) 360.646 18.1757i 0.838049 0.0422356i
\(58\) −25.8506 9.40886i −0.0585234 0.0213008i
\(59\) 36.7754 30.8583i 0.0811484 0.0680916i −0.601311 0.799015i \(-0.705355\pi\)
0.682460 + 0.730923i \(0.260910\pi\)
\(60\) −657.259 497.349i −1.41420 1.07013i
\(61\) 509.543 185.458i 1.06951 0.389271i 0.253518 0.967331i \(-0.418412\pi\)
0.815994 + 0.578060i \(0.196190\pi\)
\(62\) −27.9435 + 48.3995i −0.0572391 + 0.0991410i
\(63\) 42.7965 578.663i 0.0855849 1.15722i
\(64\) 239.011 + 413.979i 0.466818 + 0.808553i
\(65\) 473.062 + 396.946i 0.902709 + 0.757463i
\(66\) 1.08279 + 0.333417i 0.00201943 + 0.000621831i
\(67\) −15.9741 90.5935i −0.0291275 0.165190i 0.966774 0.255632i \(-0.0822834\pi\)
−0.995902 + 0.0904411i \(0.971172\pi\)
\(68\) 1.83080 + 10.3830i 0.00326496 + 0.0185165i
\(69\) 136.615 + 597.206i 0.238356 + 1.04196i
\(70\) −98.6529 82.7796i −0.168447 0.141344i
\(71\) −531.589 920.739i −0.888563 1.53904i −0.841574 0.540141i \(-0.818371\pi\)
−0.0469890 0.998895i \(-0.514963\pi\)
\(72\) −75.0455 104.167i −0.122836 0.170503i
\(73\) −342.332 + 592.936i −0.548862 + 0.950657i 0.449491 + 0.893285i \(0.351605\pi\)
−0.998353 + 0.0573721i \(0.981728\pi\)
\(74\) 41.7421 15.1929i 0.0655733 0.0238667i
\(75\) −1326.36 + 559.871i −2.04207 + 0.861978i
\(76\) −421.132 + 353.372i −0.635621 + 0.533350i
\(77\) −14.7335 5.36254i −0.0218056 0.00793660i
\(78\) 25.9670 + 40.1617i 0.0376946 + 0.0583002i
\(79\) −116.266 + 659.375i −0.165581 + 0.939056i 0.782882 + 0.622170i \(0.213749\pi\)
−0.948463 + 0.316887i \(0.897363\pi\)
\(80\) 1240.48 1.73363
\(81\) −483.436 545.647i −0.663149 0.748487i
\(82\) 94.8612 0.127752
\(83\) 96.8709 549.382i 0.128108 0.726537i −0.851305 0.524671i \(-0.824188\pi\)
0.979413 0.201866i \(-0.0647005\pi\)
\(84\) 479.631 + 741.819i 0.623001 + 0.963561i
\(85\) 25.1126 + 9.14025i 0.0320453 + 0.0116635i
\(86\) 65.9457 55.3350i 0.0826873 0.0693829i
\(87\) 440.658 186.007i 0.543029 0.229218i
\(88\) −3.25992 + 1.18652i −0.00394897 + 0.00143731i
\(89\) −269.288 + 466.421i −0.320724 + 0.555511i −0.980638 0.195831i \(-0.937260\pi\)
0.659913 + 0.751342i \(0.270593\pi\)
\(90\) −160.978 + 16.2671i −0.188540 + 0.0190523i
\(91\) −330.926 573.181i −0.381214 0.660282i
\(92\) −714.474 599.515i −0.809664 0.679389i
\(93\) −216.686 947.232i −0.241605 1.05616i
\(94\) 1.09804 + 6.22729i 0.00120483 + 0.00683294i
\(95\) 241.975 + 1372.31i 0.261327 + 1.48206i
\(96\) 280.723 + 86.4413i 0.298449 + 0.0918998i
\(97\) 226.888 + 190.381i 0.237494 + 0.199281i 0.753765 0.657144i \(-0.228236\pi\)
−0.516271 + 0.856426i \(0.672680\pi\)
\(98\) 17.7581 + 30.7580i 0.0183045 + 0.0317044i
\(99\) −17.7395 + 8.56426i −0.0180090 + 0.00869434i
\(100\) 1095.90 1898.15i 1.09590 1.89815i
\(101\) −1607.63 + 585.129i −1.58381 + 0.576460i −0.976028 0.217643i \(-0.930163\pi\)
−0.607783 + 0.794103i \(0.707941\pi\)
\(102\) 1.65040 + 1.24886i 0.00160210 + 0.00121231i
\(103\) 507.261 425.643i 0.485262 0.407183i −0.367063 0.930196i \(-0.619637\pi\)
0.852325 + 0.523013i \(0.175192\pi\)
\(104\) −137.610 50.0859i −0.129748 0.0472243i
\(105\) 2236.28 112.703i 2.07847 0.104750i
\(106\) −7.09577 + 40.2421i −0.00650191 + 0.0368742i
\(107\) 877.064 0.792421 0.396210 0.918160i \(-0.370325\pi\)
0.396210 + 0.918160i \(0.370325\pi\)
\(108\) 1088.15 + 218.316i 0.969516 + 0.194514i
\(109\) 1106.66 0.972464 0.486232 0.873830i \(-0.338371\pi\)
0.486232 + 0.873830i \(0.338371\pi\)
\(110\) −0.759194 + 4.30560i −0.000658057 + 0.00373203i
\(111\) −352.016 + 687.459i −0.301008 + 0.587844i
\(112\) −1249.32 454.715i −1.05401 0.383630i
\(113\) 512.305 429.875i 0.426492 0.357870i −0.404134 0.914700i \(-0.632427\pi\)
0.830626 + 0.556830i \(0.187983\pi\)
\(114\) −13.3666 + 107.087i −0.0109815 + 0.0879789i
\(115\) −2221.54 + 808.574i −1.80139 + 0.655651i
\(116\) −364.091 + 630.623i −0.291422 + 0.504758i
\(117\) −806.017 204.399i −0.636892 0.161510i
\(118\) 7.17355 + 12.4249i 0.00559643 + 0.00969330i
\(119\) −21.9410 18.4107i −0.0169020 0.0141824i
\(120\) 363.010 337.154i 0.276151 0.256482i
\(121\) −231.033 1310.25i −0.173579 0.984414i
\(122\) 28.1401 + 159.590i 0.0208826 + 0.118431i
\(123\) −1208.50 + 1122.43i −0.885912 + 0.822811i
\(124\) 1133.23 + 950.894i 0.820703 + 0.688651i
\(125\) −1524.60 2640.68i −1.09091 1.88952i
\(126\) 168.088 + 42.6257i 0.118845 + 0.0301381i
\(127\) −451.431 + 781.902i −0.315418 + 0.546319i −0.979526 0.201317i \(-0.935478\pi\)
0.664109 + 0.747636i \(0.268811\pi\)
\(128\) −559.198 + 203.531i −0.386145 + 0.140545i
\(129\) −185.388 + 1485.24i −0.126531 + 1.01371i
\(130\) −141.377 + 118.629i −0.0953812 + 0.0800344i
\(131\) 1798.84 + 654.724i 1.19973 + 0.436668i 0.863132 0.504979i \(-0.168500\pi\)
0.336603 + 0.941647i \(0.390722\pi\)
\(132\) 13.6685 26.6935i 0.00901279 0.0176013i
\(133\) 259.339 1470.78i 0.169079 0.958895i
\(134\) 27.4920 0.0177235
\(135\) 1858.34 2111.98i 1.18474 1.34645i
\(136\) −6.33733 −0.00399574
\(137\) −458.731 + 2601.59i −0.286073 + 1.62240i 0.415354 + 0.909660i \(0.363658\pi\)
−0.701427 + 0.712741i \(0.747454\pi\)
\(138\) −182.856 + 9.21550i −0.112795 + 0.00568460i
\(139\) −155.790 56.7028i −0.0950641 0.0346005i 0.294050 0.955790i \(-0.404997\pi\)
−0.389114 + 0.921189i \(0.627219\pi\)
\(140\) −2611.34 + 2191.18i −1.57642 + 1.32277i
\(141\) −87.6720 66.3416i −0.0523639 0.0396239i
\(142\) 298.574 108.672i 0.176449 0.0642222i
\(143\) −11.2346 + 19.4589i −0.00656982 + 0.0113793i
\(144\) −1504.22 + 726.203i −0.870495 + 0.420256i
\(145\) 922.879 + 1598.47i 0.528558 + 0.915490i
\(146\) −156.744 131.524i −0.0888510 0.0745548i
\(147\) −590.172 181.728i −0.331133 0.101964i
\(148\) −204.180 1157.96i −0.113402 0.643134i
\(149\) −238.886 1354.79i −0.131344 0.744890i −0.977336 0.211694i \(-0.932102\pi\)
0.845992 0.533196i \(-0.179009\pi\)
\(150\) −95.9459 419.422i −0.0522263 0.228305i
\(151\) 286.970 + 240.797i 0.154658 + 0.129773i 0.716833 0.697245i \(-0.245591\pi\)
−0.562175 + 0.827018i \(0.690035\pi\)
\(152\) −165.223 286.174i −0.0881666 0.152709i
\(153\) −35.8026 + 3.61791i −0.0189181 + 0.00191171i
\(154\) 2.34288 4.05798i 0.00122594 0.00212339i
\(155\) 3523.59 1282.48i 1.82595 0.664590i
\(156\) 1166.29 492.302i 0.598575 0.252665i
\(157\) −404.609 + 339.507i −0.205677 + 0.172584i −0.739808 0.672818i \(-0.765084\pi\)
0.534131 + 0.845402i \(0.320639\pi\)
\(158\) −188.030 68.4373i −0.0946763 0.0344593i
\(159\) −385.759 596.633i −0.192407 0.297585i
\(160\) −196.828 + 1116.26i −0.0972537 + 0.551553i
\(161\) 2533.76 1.24030
\(162\) 185.680 113.965i 0.0900519 0.0552714i
\(163\) −714.227 −0.343206 −0.171603 0.985166i \(-0.554895\pi\)
−0.171603 + 0.985166i \(0.554895\pi\)
\(164\) 436.026 2472.83i 0.207609 1.17741i
\(165\) −41.2733 63.8351i −0.0194735 0.0301185i
\(166\) 156.664 + 57.0210i 0.0732499 + 0.0266608i
\(167\) 2819.79 2366.08i 1.30660 1.09637i 0.317633 0.948214i \(-0.397112\pi\)
0.988965 0.148152i \(-0.0473325\pi\)
\(168\) −489.184 + 206.490i −0.224651 + 0.0948275i
\(169\) 1173.22 427.018i 0.534012 0.194364i
\(170\) −3.99334 + 6.91667i −0.00180162 + 0.00312050i
\(171\) −1096.80 1522.41i −0.490492 0.680829i
\(172\) −1139.35 1973.41i −0.505084 0.874832i
\(173\) −1535.44 1288.39i −0.674783 0.566211i 0.239693 0.970849i \(-0.422953\pi\)
−0.914477 + 0.404638i \(0.867398\pi\)
\(174\) 31.8762 + 139.345i 0.0138881 + 0.0607110i
\(175\) 1033.96 + 5863.86i 0.446627 + 2.53295i
\(176\) 7.83762 + 44.4493i 0.00335672 + 0.0190369i
\(177\) −238.405 73.4106i −0.101241 0.0311745i
\(178\) −123.299 103.461i −0.0519196 0.0435657i
\(179\) 1440.88 + 2495.68i 0.601657 + 1.04210i 0.992570 + 0.121673i \(0.0388259\pi\)
−0.390913 + 0.920428i \(0.627841\pi\)
\(180\) −315.882 + 4271.13i −0.130803 + 1.76862i
\(181\) −454.319 + 786.904i −0.186571 + 0.323150i −0.944105 0.329646i \(-0.893071\pi\)
0.757534 + 0.652796i \(0.226404\pi\)
\(182\) 185.869 67.6508i 0.0757007 0.0275528i
\(183\) −2246.82 1700.17i −0.907593 0.686777i
\(184\) 429.459 360.359i 0.172066 0.144380i
\(185\) −2800.68 1019.37i −1.11303 0.405109i
\(186\) 290.029 14.6167i 0.114333 0.00576210i
\(187\) −0.168850 + 0.957594i −6.60294e−5 + 0.000374472i
\(188\) 167.379 0.0649329
\(189\) −2645.75 + 1445.83i −1.01825 + 0.556448i
\(190\) −416.447 −0.159012
\(191\) −195.023 + 1106.03i −0.0738816 + 0.419003i 0.925325 + 0.379175i \(0.123792\pi\)
−0.999207 + 0.0398281i \(0.987319\pi\)
\(192\) 1132.09 2210.88i 0.425529 0.831024i
\(193\) 3274.01 + 1191.64i 1.22108 + 0.444437i 0.870534 0.492108i \(-0.163774\pi\)
0.350547 + 0.936545i \(0.385996\pi\)
\(194\) −67.8065 + 56.8964i −0.0250939 + 0.0210563i
\(195\) 397.442 3184.11i 0.145956 1.16933i
\(196\) 883.420 321.539i 0.321946 0.117179i
\(197\) −2109.35 + 3653.50i −0.762867 + 1.32132i 0.178500 + 0.983940i \(0.442875\pi\)
−0.941367 + 0.337384i \(0.890458\pi\)
\(198\) −1.59998 5.66544i −0.000574271 0.00203346i
\(199\) 205.179 + 355.380i 0.0730892 + 0.126594i 0.900254 0.435366i \(-0.143381\pi\)
−0.827165 + 0.561960i \(0.810048\pi\)
\(200\) 1009.23 + 846.841i 0.356815 + 0.299404i
\(201\) −350.240 + 325.293i −0.122906 + 0.114151i
\(202\) −88.7831 503.514i −0.0309245 0.175382i
\(203\) −343.512 1948.15i −0.118768 0.673564i
\(204\) 40.1412 37.2821i 0.0137767 0.0127954i
\(205\) −4875.64 4091.15i −1.66112 1.39385i
\(206\) 98.9482 + 171.383i 0.0334663 + 0.0579653i
\(207\) 2220.49 2281.01i 0.745580 0.765901i
\(208\) −952.633 + 1650.01i −0.317563 + 0.550036i
\(209\) −47.6441 + 17.3410i −0.0157685 + 0.00573926i
\(210\) −82.8831 + 664.019i −0.0272356 + 0.218199i
\(211\) 479.610 402.440i 0.156482 0.131304i −0.561185 0.827690i \(-0.689654\pi\)
0.717667 + 0.696386i \(0.245210\pi\)
\(212\) 1016.41 + 369.943i 0.329280 + 0.119848i
\(213\) −2517.90 + 4917.27i −0.809972 + 1.58181i
\(214\) −45.5158 + 258.133i −0.0145392 + 0.0824560i
\(215\) −5775.93 −1.83216
\(216\) −242.811 + 621.348i −0.0764870 + 0.195728i
\(217\) −4018.80 −1.25721
\(218\) −57.4306 + 325.705i −0.0178426 + 0.101191i
\(219\) 3553.11 179.068i 1.09633 0.0552525i
\(220\) 108.748 + 39.5811i 0.0333264 + 0.0121298i
\(221\) −31.4431 + 26.3839i −0.00957055 + 0.00803065i
\(222\) −184.061 139.279i −0.0556458 0.0421073i
\(223\) 4262.62 1551.47i 1.28003 0.465891i 0.389585 0.920990i \(-0.372618\pi\)
0.890441 + 0.455099i \(0.150396\pi\)
\(224\) 607.411 1052.07i 0.181180 0.313813i
\(225\) 6185.06 + 4208.06i 1.83261 + 1.24683i
\(226\) 99.9321 + 173.087i 0.0294132 + 0.0509452i
\(227\) 5004.32 + 4199.12i 1.46321 + 1.22778i 0.922173 + 0.386777i \(0.126412\pi\)
0.541035 + 0.841000i \(0.318033\pi\)
\(228\) 2730.08 + 840.659i 0.793001 + 0.244184i
\(229\) −934.579 5300.26i −0.269689 1.52948i −0.755343 0.655330i \(-0.772530\pi\)
0.485654 0.874151i \(-0.338582\pi\)
\(230\) −122.687 695.792i −0.0351728 0.199475i
\(231\) 18.1677 + 79.4191i 0.00517466 + 0.0226208i
\(232\) −335.296 281.347i −0.0948847 0.0796178i
\(233\) −1042.34 1805.39i −0.293074 0.507619i 0.681461 0.731854i \(-0.261345\pi\)
−0.974535 + 0.224235i \(0.928012\pi\)
\(234\) 101.986 226.615i 0.0284917 0.0633090i
\(235\) 212.132 367.424i 0.0588851 0.101992i
\(236\) 356.865 129.888i 0.0984319 0.0358263i
\(237\) 3205.22 1352.96i 0.878486 0.370818i
\(238\) 6.55719 5.50213i 0.00178588 0.00149853i
\(239\) −4469.26 1626.68i −1.20959 0.440256i −0.343030 0.939324i \(-0.611453\pi\)
−0.866562 + 0.499069i \(0.833675\pi\)
\(240\) −3499.75 5412.88i −0.941284 1.45583i
\(241\) 400.465 2271.15i 0.107038 0.607043i −0.883349 0.468717i \(-0.844717\pi\)
0.990387 0.138327i \(-0.0441724\pi\)
\(242\) 397.617 0.105619
\(243\) −1017.04 + 3648.91i −0.268489 + 0.963283i
\(244\) 4289.52 1.12544
\(245\) 413.797 2346.76i 0.107904 0.611954i
\(246\) −267.630 413.929i −0.0693638 0.107281i
\(247\) −2011.18 732.010i −0.518090 0.188569i
\(248\) −681.166 + 571.567i −0.174412 + 0.146349i
\(249\) −2670.54 + 1127.27i −0.679674 + 0.286898i
\(250\) 856.311 311.672i 0.216631 0.0788474i
\(251\) 994.592 1722.68i 0.250112 0.433207i −0.713444 0.700712i \(-0.752866\pi\)
0.963556 + 0.267505i \(0.0861992\pi\)
\(252\) 1883.77 4185.77i 0.470898 1.04634i
\(253\) −43.0092 74.4941i −0.0106876 0.0185115i
\(254\) −206.698 173.440i −0.0510605 0.0428448i
\(255\) −30.9662 135.367i −0.00760461 0.0332431i
\(256\) 633.179 + 3590.93i 0.154585 + 0.876693i
\(257\) 1088.91 + 6175.49i 0.264296 + 1.49890i 0.771033 + 0.636796i \(0.219741\pi\)
−0.506737 + 0.862101i \(0.669148\pi\)
\(258\) −427.507 131.640i −0.103161 0.0317657i
\(259\) 2446.97 + 2053.25i 0.587056 + 0.492598i
\(260\) 2442.58 + 4230.67i 0.582624 + 1.00913i
\(261\) −2054.87 1398.05i −0.487330 0.331559i
\(262\) −286.046 + 495.447i −0.0674504 + 0.116828i
\(263\) −2301.62 + 837.722i −0.539635 + 0.196411i −0.597435 0.801917i \(-0.703814\pi\)
0.0578002 + 0.998328i \(0.481591\pi\)
\(264\) 14.3746 + 10.8773i 0.00335111 + 0.00253579i
\(265\) 2100.26 1762.33i 0.486860 0.408524i
\(266\) 419.414 + 152.654i 0.0966764 + 0.0351873i
\(267\) 2794.98 140.860i 0.640636 0.0322865i
\(268\) 126.366 716.657i 0.0288023 0.163346i
\(269\) −4739.75 −1.07430 −0.537152 0.843485i \(-0.680500\pi\)
−0.537152 + 0.843485i \(0.680500\pi\)
\(270\) 525.147 + 656.538i 0.118368 + 0.147984i
\(271\) −4368.84 −0.979292 −0.489646 0.871921i \(-0.662874\pi\)
−0.489646 + 0.871921i \(0.662874\pi\)
\(272\) −14.3175 + 81.1988i −0.00319165 + 0.0181007i
\(273\) −1567.45 + 3061.11i −0.347496 + 0.678633i
\(274\) −741.880 270.022i −0.163571 0.0595352i
\(275\) 154.850 129.935i 0.0339557 0.0284922i
\(276\) −600.264 + 4809.03i −0.130912 + 1.04880i
\(277\) −7253.15 + 2639.93i −1.57328 + 0.572628i −0.973730 0.227707i \(-0.926877\pi\)
−0.599553 + 0.800335i \(0.704655\pi\)
\(278\) 24.7732 42.9085i 0.00534461 0.00925713i
\(279\) −3521.94 + 3617.93i −0.755745 + 0.776342i
\(280\) −1024.51 1774.50i −0.218664 0.378738i
\(281\) −2877.77 2414.74i −0.610937 0.512637i 0.284003 0.958823i \(-0.408337\pi\)
−0.894940 + 0.446186i \(0.852782\pi\)
\(282\) 24.0751 22.3603i 0.00508386 0.00472176i
\(283\) 404.252 + 2292.63i 0.0849127 + 0.481564i 0.997375 + 0.0724041i \(0.0230671\pi\)
−0.912463 + 0.409160i \(0.865822\pi\)
\(284\) −1460.46 8282.69i −0.305150 1.73059i
\(285\) 5305.42 4927.53i 1.10269 1.02415i
\(286\) −5.14400 4.31633i −0.00106354 0.000892413i
\(287\) 3410.71 + 5907.52i 0.701491 + 1.21502i
\(288\) −414.809 1468.82i −0.0848711 0.300524i
\(289\) 2455.61 4253.24i 0.499819 0.865712i
\(290\) −518.347 + 188.663i −0.104960 + 0.0382023i
\(291\) 190.619 1527.15i 0.0383997 0.307640i
\(292\) −4149.02 + 3481.44i −0.831517 + 0.697726i
\(293\) 4551.16 + 1656.49i 0.907446 + 0.330283i 0.753233 0.657754i \(-0.228493\pi\)
0.154214 + 0.988038i \(0.450716\pi\)
\(294\) 84.1126 164.265i 0.0166855 0.0325855i
\(295\) 167.157 947.992i 0.0329906 0.187099i
\(296\) 706.769 0.138784
\(297\) 87.4186 + 53.2446i 0.0170793 + 0.0104026i
\(298\) 411.131 0.0799201
\(299\) 630.526 3575.89i 0.121954 0.691636i
\(300\) −11374.5 + 573.244i −2.18901 + 0.110321i
\(301\) 5817.08 + 2117.24i 1.11392 + 0.405435i
\(302\) −85.7624 + 71.9632i −0.0163413 + 0.0137120i
\(303\) 7088.80 + 5364.11i 1.34403 + 1.01703i
\(304\) −4039.96 + 1470.43i −0.762197 + 0.277417i
\(305\) 5436.43 9416.18i 1.02062 1.76777i
\(306\) 0.793193 10.7250i 0.000148182 0.00200362i
\(307\) 1240.46 + 2148.54i 0.230608 + 0.399425i 0.957987 0.286811i \(-0.0925951\pi\)
−0.727379 + 0.686236i \(0.759262\pi\)
\(308\) −95.0139 79.7261i −0.0175777 0.0147494i
\(309\) −3288.43 1012.59i −0.605412 0.186421i
\(310\) 194.594 + 1103.60i 0.0356523 + 0.202194i
\(311\) 280.294 + 1589.63i 0.0511062 + 0.289838i 0.999640 0.0268390i \(-0.00854414\pi\)
−0.948534 + 0.316677i \(0.897433\pi\)
\(312\) 169.685 + 741.770i 0.0307902 + 0.134598i
\(313\) 7636.44 + 6407.73i 1.37903 + 1.15715i 0.969569 + 0.244819i \(0.0787284\pi\)
0.409463 + 0.912327i \(0.365716\pi\)
\(314\) −78.9245 136.701i −0.0141846 0.0245685i
\(315\) −6800.97 9440.11i −1.21648 1.68854i
\(316\) −2648.29 + 4586.97i −0.471449 + 0.816573i
\(317\) −1915.29 + 697.110i −0.339349 + 0.123513i −0.506073 0.862491i \(-0.668903\pi\)
0.166724 + 0.986004i \(0.446681\pi\)
\(318\) 195.617 82.5719i 0.0344957 0.0145610i
\(319\) −51.4461 + 43.1684i −0.00902955 + 0.00757669i
\(320\) 9007.06 + 3278.30i 1.57347 + 0.572696i
\(321\) −2474.45 3827.09i −0.430250 0.665444i
\(322\) −131.491 + 745.721i −0.0227568 + 0.129060i
\(323\) −92.6206 −0.0159553
\(324\) −2117.36 5364.12i −0.363060 0.919774i
\(325\) 8532.96 1.45638
\(326\) 37.0652 210.207i 0.00629709 0.0357126i
\(327\) −3122.20 4828.93i −0.528006 0.816637i
\(328\) 1418.28 + 516.213i 0.238755 + 0.0868997i
\(329\) −348.328 + 292.282i −0.0583706 + 0.0489788i
\(330\) 20.9295 8.83456i 0.00349131 0.00147372i
\(331\) 1140.34 415.048i 0.189361 0.0689218i −0.245599 0.969371i \(-0.578985\pi\)
0.434960 + 0.900450i \(0.356762\pi\)
\(332\) 2206.52 3821.80i 0.364754 0.631773i
\(333\) 3992.88 403.487i 0.657082 0.0663993i
\(334\) 550.038 + 952.694i 0.0901100 + 0.156075i
\(335\) −1413.02 1185.67i −0.230453 0.193373i
\(336\) 1540.52 + 6734.31i 0.250126 + 1.09341i
\(337\) −1476.83 8375.55i −0.238719 1.35384i −0.834638 0.550798i \(-0.814323\pi\)
0.595919 0.803044i \(-0.296788\pi\)
\(338\) 64.7926 + 367.457i 0.0104268 + 0.0591332i
\(339\) −3321.13 1022.66i −0.532092 0.163844i
\(340\) 161.948 + 135.890i 0.0258319 + 0.0216755i
\(341\) 68.2171 + 118.155i 0.0108333 + 0.0187639i
\(342\) 504.987 243.797i 0.0798437 0.0385468i
\(343\) 2408.64 4171.89i 0.379167 0.656737i
\(344\) 1287.09 468.461i 0.201730 0.0734236i
\(345\) 9795.82 + 7412.52i 1.52867 + 1.15674i
\(346\) 458.874 385.041i 0.0712984 0.0598264i
\(347\) −6218.74 2263.44i −0.962073 0.350166i −0.187228 0.982317i \(-0.559950\pi\)
−0.774846 + 0.632151i \(0.782172\pi\)
\(348\) 3778.94 190.449i 0.582105 0.0293367i
\(349\) −910.076 + 5161.30i −0.139585 + 0.791628i 0.831971 + 0.554819i \(0.187213\pi\)
−0.971556 + 0.236809i \(0.923899\pi\)
\(350\) −1779.48 −0.271763
\(351\) 1382.10 + 4093.75i 0.210174 + 0.622530i
\(352\) −41.2419 −0.00624489
\(353\) −852.154 + 4832.81i −0.128486 + 0.728681i 0.850690 + 0.525668i \(0.176184\pi\)
−0.979176 + 0.203013i \(0.934927\pi\)
\(354\) 33.9780 66.3563i 0.00510144 0.00996270i
\(355\) −20032.8 7291.33i −2.99501 1.09010i
\(356\) −3263.74 + 2738.60i −0.485892 + 0.407712i
\(357\) −18.4337 + 147.682i −0.00273282 + 0.0218940i
\(358\) −809.291 + 294.558i −0.119476 + 0.0434856i
\(359\) 4501.47 7796.77i 0.661779 1.14623i −0.318369 0.947967i \(-0.603135\pi\)
0.980148 0.198267i \(-0.0635314\pi\)
\(360\) −2495.33 632.795i −0.365321 0.0926423i
\(361\) 1014.75 + 1757.61i 0.147945 + 0.256248i
\(362\) −208.020 174.549i −0.0302025 0.0253429i
\(363\) −5065.52 + 4704.72i −0.732427 + 0.680258i
\(364\) −909.170 5156.16i −0.130916 0.742462i
\(365\) 2383.95 + 13520.1i 0.341868 + 1.93883i
\(366\) 616.985 573.039i 0.0881156 0.0818394i
\(367\) −668.599 561.021i −0.0950970 0.0797958i 0.594000 0.804465i \(-0.297548\pi\)
−0.689097 + 0.724669i \(0.741992\pi\)
\(368\) −3646.95 6316.70i −0.516604 0.894785i
\(369\) 8307.27 + 2106.65i 1.17198 + 0.297203i
\(370\) 445.357 771.381i 0.0625757 0.108384i
\(371\) −2761.22 + 1005.00i −0.386403 + 0.140639i
\(372\) 952.082 7627.62i 0.132697 1.06310i
\(373\) −4820.94 + 4045.25i −0.669219 + 0.561541i −0.912834 0.408331i \(-0.866111\pi\)
0.243615 + 0.969872i \(0.421667\pi\)
\(374\) −0.273071 0.0993898i −3.77545e−5 1.37415e-5i
\(375\) −7221.36 + 14102.7i −0.994425 + 1.94203i
\(376\) −17.4706 + 99.0805i −0.00239621 + 0.0135896i
\(377\) −2834.91 −0.387282
\(378\) −288.226 853.715i −0.0392189 0.116165i
\(379\) 2956.76 0.400734 0.200367 0.979721i \(-0.435786\pi\)
0.200367 + 0.979721i \(0.435786\pi\)
\(380\) −1914.19 + 10855.9i −0.258410 + 1.46552i
\(381\) 4685.46 236.136i 0.630036 0.0317522i
\(382\) −315.400 114.796i −0.0422442 0.0153756i
\(383\) 2545.77 2136.16i 0.339642 0.284993i −0.456973 0.889481i \(-0.651066\pi\)
0.796615 + 0.604487i \(0.206622\pi\)
\(384\) 2465.77 + 1865.85i 0.327684 + 0.247960i
\(385\) −295.430 + 107.528i −0.0391078 + 0.0142341i
\(386\) −520.625 + 901.748i −0.0686505 + 0.118906i
\(387\) 7003.93 3381.34i 0.919973 0.444143i
\(388\) 1171.50 + 2029.09i 0.153283 + 0.265494i
\(389\) −7165.62 6012.67i −0.933962 0.783687i 0.0425622 0.999094i \(-0.486448\pi\)
−0.976524 + 0.215406i \(0.930892\pi\)
\(390\) 916.505 + 282.214i 0.118998 + 0.0366423i
\(391\) −27.2864 154.749i −0.00352924 0.0200153i
\(392\) 98.1266 + 556.503i 0.0126432 + 0.0717032i
\(393\) −2218.13 9696.44i −0.284707 1.24458i
\(394\) −965.811 810.412i −0.123495 0.103624i
\(395\) 6712.75 + 11626.8i 0.855076 + 1.48103i
\(396\) −155.040 + 15.6671i −0.0196744 + 0.00198813i
\(397\) 2036.76 3527.77i 0.257486 0.445979i −0.708082 0.706130i \(-0.750439\pi\)
0.965568 + 0.260152i \(0.0837725\pi\)
\(398\) −115.241 + 41.9444i −0.0145139 + 0.00528262i
\(399\) −7149.47 + 3017.87i −0.897045 + 0.378652i
\(400\) 13130.5 11017.8i 1.64131 1.37722i
\(401\) −3662.12 1332.90i −0.456054 0.165990i 0.103771 0.994601i \(-0.466909\pi\)
−0.559824 + 0.828611i \(0.689131\pi\)
\(402\) −77.5627 119.962i −0.00962307 0.0148835i
\(403\) −1000.08 + 5671.74i −0.123617 + 0.701066i
\(404\) −13533.6 −1.66664
\(405\) −14458.6 2150.40i −1.77396 0.263838i
\(406\) 591.197 0.0722675
\(407\) 18.8309 106.795i 0.00229340 0.0130065i
\(408\) 17.8794 + 27.6531i 0.00216952 + 0.00335547i
\(409\) 10586.9 + 3853.30i 1.27992 + 0.465852i 0.890405 0.455169i \(-0.150421\pi\)
0.389513 + 0.921021i \(0.372643\pi\)
\(410\) 1457.11 1222.66i 0.175516 0.147275i
\(411\) 12646.3 5338.14i 1.51775 0.640660i
\(412\) 4922.41 1791.61i 0.588616 0.214239i
\(413\) −515.846 + 893.472i −0.0614604 + 0.106452i
\(414\) 556.101 + 771.898i 0.0660167 + 0.0916346i
\(415\) −5592.97 9687.31i −0.661562 1.14586i
\(416\) −1333.63 1119.05i −0.157179 0.131889i
\(417\) 192.103 + 839.767i 0.0225595 + 0.0986176i
\(418\) −2.63120 14.9223i −0.000307886 0.00174611i
\(419\) −1041.24 5905.18i −0.121403 0.688513i −0.983379 0.181563i \(-0.941884\pi\)
0.861976 0.506949i \(-0.169227\pi\)
\(420\) 16928.6 + 5212.73i 1.96674 + 0.605607i
\(421\) −12007.1 10075.2i −1.39000 1.16635i −0.965338 0.261002i \(-0.915947\pi\)
−0.424666 0.905350i \(-0.639608\pi\)
\(422\) 93.5544 + 162.041i 0.0107918 + 0.0186920i
\(423\) −42.1356 + 569.727i −0.00484327 + 0.0654872i
\(424\) −325.079 + 563.053i −0.0372340 + 0.0644912i
\(425\) 346.999 126.297i 0.0396045 0.0144149i
\(426\) −1316.55 996.240i −0.149735 0.113305i
\(427\) −8926.78 + 7490.46i −1.01170 + 0.848920i
\(428\) 6519.76 + 2373.00i 0.736319 + 0.267998i
\(429\) 116.605 5.87662i 0.0131230 0.000661365i
\(430\) 299.745 1699.94i 0.0336163 0.190647i
\(431\) 8999.40 1.00577 0.502884 0.864354i \(-0.332272\pi\)
0.502884 + 0.864354i \(0.332272\pi\)
\(432\) 7412.62 + 4514.86i 0.825556 + 0.502827i
\(433\) −1029.94 −0.114309 −0.0571547 0.998365i \(-0.518203\pi\)
−0.0571547 + 0.998365i \(0.518203\pi\)
\(434\) 208.558 1182.79i 0.0230671 0.130820i
\(435\) 4371.28 8536.75i 0.481808 0.940933i
\(436\) 8226.47 + 2994.19i 0.903615 + 0.328889i
\(437\) 6276.58 5266.68i 0.687070 0.576520i
\(438\) −131.688 + 1055.02i −0.0143660 + 0.115094i
\(439\) 9405.91 3423.47i 1.02260 0.372194i 0.224338 0.974511i \(-0.427978\pi\)
0.798257 + 0.602317i \(0.205756\pi\)
\(440\) −34.7809 + 60.2423i −0.00376845 + 0.00652714i
\(441\) 872.066 + 3087.94i 0.0941655 + 0.333434i
\(442\) −6.13341 10.6234i −0.000660037 0.00114322i
\(443\) 864.666 + 725.541i 0.0927348 + 0.0778138i 0.687976 0.725733i \(-0.258499\pi\)
−0.595242 + 0.803547i \(0.702944\pi\)
\(444\) −4476.75 + 4157.88i −0.478507 + 0.444424i
\(445\) 1875.28 + 10635.3i 0.199768 + 1.13294i
\(446\) 235.408 + 1335.06i 0.0249930 + 0.141742i
\(447\) −5237.69 + 4864.63i −0.554215 + 0.514741i
\(448\) −7869.52 6603.31i −0.829910 0.696377i
\(449\) 2633.36 + 4561.12i 0.276784 + 0.479405i 0.970584 0.240764i \(-0.0773979\pi\)
−0.693799 + 0.720168i \(0.744065\pi\)
\(450\) −1559.47 + 1601.97i −0.163365 + 0.167817i
\(451\) 115.790 200.554i 0.0120894 0.0209395i
\(452\) 4971.36 1809.43i 0.517329 0.188293i
\(453\) 241.097 1931.56i 0.0250061 0.200337i
\(454\) −1495.56 + 1254.93i −0.154604 + 0.129728i
\(455\) −12470.9 4539.02i −1.28493 0.467676i
\(456\) −782.588 + 1528.33i −0.0803685 + 0.156953i
\(457\) −1736.03 + 9845.54i −0.177699 + 1.00778i 0.757284 + 0.653085i \(0.226526\pi\)
−0.934983 + 0.354693i \(0.884585\pi\)
\(458\) 1608.44 0.164100
\(459\) 116.796 + 146.018i 0.0118771 + 0.0148487i
\(460\) −18701.7 −1.89559
\(461\) 2367.89 13429.0i 0.239227 1.35672i −0.594299 0.804244i \(-0.702570\pi\)
0.833526 0.552480i \(-0.186318\pi\)
\(462\) −24.3170 + 1.22552i −0.00244877 + 0.000123412i
\(463\) −3631.88 1321.90i −0.364552 0.132686i 0.153248 0.988188i \(-0.451027\pi\)
−0.517800 + 0.855502i \(0.673249\pi\)
\(464\) −4362.35 + 3660.45i −0.436459 + 0.366233i
\(465\) −15537.2 11757.0i −1.54951 1.17251i
\(466\) 585.446 213.085i 0.0581980 0.0211823i
\(467\) −6854.86 + 11873.0i −0.679240 + 1.17648i 0.295970 + 0.955197i \(0.404357\pi\)
−0.975210 + 0.221281i \(0.928976\pi\)
\(468\) −5438.60 3700.20i −0.537178 0.365474i
\(469\) 988.467 + 1712.07i 0.0973202 + 0.168563i
\(470\) 97.1295 + 81.5013i 0.00953245 + 0.00799867i
\(471\) 2622.97 + 807.675i 0.256603 + 0.0790142i
\(472\) 39.6390 + 224.804i 0.00386554 + 0.0219226i
\(473\) −36.4935 206.965i −0.00354751 0.0201189i
\(474\) 231.858 + 1013.55i 0.0224675 + 0.0982153i
\(475\) 14749.9 + 12376.7i 1.42479 + 1.19554i
\(476\) −113.289 196.222i −0.0109088 0.0188946i
\(477\) −1515.08 + 3366.54i −0.145432 + 0.323152i
\(478\) 710.690 1230.95i 0.0680046 0.117787i
\(479\) 6613.84 2407.24i 0.630885 0.229623i −0.00673130 0.999977i \(-0.502143\pi\)
0.637617 + 0.770354i \(0.279920\pi\)
\(480\) 5426.16 2290.44i 0.515977 0.217799i
\(481\) 3506.69 2942.46i 0.332414 0.278929i
\(482\) 647.649 + 235.725i 0.0612025 + 0.0222759i
\(483\) −7148.45 11056.1i −0.673428 1.04155i
\(484\) 1827.63 10365.0i 0.171641 0.973424i
\(485\) 5938.91 0.556024
\(486\) −1021.15 488.691i −0.0953090 0.0456120i
\(487\) 9484.84 0.882544 0.441272 0.897373i \(-0.354527\pi\)
0.441272 + 0.897373i \(0.354527\pi\)
\(488\) −447.728 + 2539.19i −0.0415321 + 0.235540i
\(489\) 2015.04 + 3116.55i 0.186346 + 0.288211i
\(490\) 669.210 + 243.573i 0.0616976 + 0.0224561i
\(491\) −10315.0 + 8655.29i −0.948082 + 0.795535i −0.978974 0.203987i \(-0.934610\pi\)
0.0308914 + 0.999523i \(0.490165\pi\)
\(492\) −12020.4 + 5073.94i −1.10147 + 0.464941i
\(493\) −115.284 + 41.9599i −0.0105317 + 0.00383322i
\(494\) 319.812 553.931i 0.0291276 0.0504505i
\(495\) −162.103 + 360.194i −0.0147191 + 0.0327061i
\(496\) 5784.44 + 10018.9i 0.523647 + 0.906984i
\(497\) 17502.7 + 14686.5i 1.57969 + 1.32552i
\(498\) −193.181 844.480i −0.0173828 0.0759880i
\(499\) 2059.98 + 11682.7i 0.184804 + 1.04808i 0.926206 + 0.377017i \(0.123050\pi\)
−0.741402 + 0.671061i \(0.765839\pi\)
\(500\) −4188.61 23754.8i −0.374641 2.12469i
\(501\) −18279.9 5628.83i −1.63011 0.501951i
\(502\) 455.396 + 382.123i 0.0404887 + 0.0339740i
\(503\) −7063.42 12234.2i −0.626128 1.08449i −0.988322 0.152383i \(-0.951305\pi\)
0.362194 0.932103i \(-0.382028\pi\)
\(504\) 2281.15 + 1552.00i 0.201608 + 0.137166i
\(505\) −17152.2 + 29708.4i −1.51141 + 2.61784i
\(506\) 24.1567 8.79231i 0.00212232 0.000772462i
\(507\) −5173.30 3914.65i −0.453165 0.342911i
\(508\) −5471.29 + 4590.96i −0.477853 + 0.400966i
\(509\) 11523.9 + 4194.36i 1.00351 + 0.365249i 0.790939 0.611895i \(-0.209593\pi\)
0.212576 + 0.977145i \(0.431815\pi\)
\(510\) 41.4474 2.08885i 0.00359867 0.000181364i
\(511\) 2555.02 14490.2i 0.221189 1.25442i
\(512\) −5850.41 −0.504988
\(513\) −3548.71 + 9081.05i −0.305418 + 0.781556i
\(514\) −1874.04 −0.160818
\(515\) 2305.67 13076.1i 0.197282 1.11884i
\(516\) −5396.60 + 10539.1i −0.460411 + 0.899146i
\(517\) 14.5060 + 5.27974i 0.00123399 + 0.000449134i
\(518\) −731.289 + 613.624i −0.0620290 + 0.0520485i
\(519\) −1290.00 + 10334.9i −0.109103 + 0.874084i
\(520\) −2759.30 + 1004.30i −0.232699 + 0.0846954i
\(521\) 5683.84 9844.69i 0.477953 0.827839i −0.521728 0.853112i \(-0.674712\pi\)
0.999681 + 0.0252735i \(0.00804566\pi\)
\(522\) 518.104 532.224i 0.0434421 0.0446261i
\(523\) −1568.15 2716.12i −0.131110 0.227089i 0.792995 0.609229i \(-0.208521\pi\)
−0.924105 + 0.382139i \(0.875187\pi\)
\(524\) 11600.4 + 9733.93i 0.967114 + 0.811505i
\(525\) 22670.0 21055.3i 1.88457 1.75034i
\(526\) −127.110 720.875i −0.0105366 0.0597559i
\(527\) 43.2790 + 245.448i 0.00357735 + 0.0202882i
\(528\) 171.844 159.604i 0.0141639 0.0131551i
\(529\) 1328.10 + 1114.41i 0.109156 + 0.0915929i
\(530\) 409.684 + 709.593i 0.0335765 + 0.0581562i
\(531\) 352.278 + 1247.40i 0.0287902 + 0.101944i
\(532\) 5907.19 10231.6i 0.481408 0.833824i
\(533\) 9186.05 3343.45i 0.746514 0.271709i
\(534\) −103.590 + 829.912i −0.00839470 + 0.0672543i
\(535\) 13472.1 11304.4i 1.08869 0.913519i
\(536\) 411.037 + 149.605i 0.0331233 + 0.0120559i
\(537\) 6824.83 13328.4i 0.548442 1.07106i
\(538\) 245.972 1394.98i 0.0197112 0.111788i
\(539\) 86.7042 0.00692878
\(540\) 19528.4 10671.7i 1.55624 0.850440i
\(541\) −8742.14 −0.694739 −0.347370 0.937728i \(-0.612925\pi\)
−0.347370 + 0.937728i \(0.612925\pi\)
\(542\) 226.724 1285.81i 0.0179679 0.101901i
\(543\) 4715.44 237.646i 0.372668 0.0187815i
\(544\) −70.7961 25.7677i −0.00557970 0.00203084i
\(545\) 16998.7 14263.6i 1.33605 1.12108i
\(546\) −819.585 620.182i −0.0642399 0.0486105i
\(547\) −11271.8 + 4102.58i −0.881070 + 0.320683i −0.742642 0.669689i \(-0.766427\pi\)
−0.138428 + 0.990372i \(0.544205\pi\)
\(548\) −10448.9 + 18098.1i −0.814518 + 1.41079i
\(549\) −1079.83 + 14600.7i −0.0839455 + 1.13505i
\(550\) 30.2057 + 52.3177i 0.00234177 + 0.00405607i
\(551\) −4900.38 4111.91i −0.378881 0.317919i
\(552\) −2784.06 857.280i −0.214669 0.0661019i
\(553\) −2498.60 14170.3i −0.192136 1.08966i
\(554\) −400.563 2271.71i −0.0307190 0.174216i
\(555\) 3453.50 + 15096.8i 0.264131 + 1.15463i
\(556\) −1004.66 843.013i −0.0766317 0.0643017i
\(557\) −3246.34 5622.82i −0.246951 0.427732i 0.715727 0.698380i \(-0.246095\pi\)
−0.962678 + 0.270648i \(0.912762\pi\)
\(558\) −882.035 1224.31i −0.0669167 0.0928839i
\(559\) 4435.65 7682.77i 0.335613 0.581299i
\(560\) −25050.9 + 9117.77i −1.89034 + 0.688029i
\(561\) 4.65486 1.96486i 0.000350318 0.000147873i
\(562\) 860.035 721.655i 0.0645523 0.0541658i
\(563\) −13930.6 5070.33i −1.04282 0.379554i −0.236869 0.971542i \(-0.576121\pi\)
−0.805947 + 0.591988i \(0.798343\pi\)
\(564\) −472.225 730.364i −0.0352558 0.0545281i
\(565\) 2328.60 13206.1i 0.173389 0.983339i
\(566\) −695.733 −0.0516675
\(567\) 13773.3 + 7465.71i 1.02015 + 0.552963i
\(568\) 5055.39 0.373450
\(569\) −4263.28 + 24178.3i −0.314106 + 1.78138i 0.263086 + 0.964772i \(0.415260\pi\)
−0.577191 + 0.816609i \(0.695851\pi\)
\(570\) 1174.92 + 1817.18i 0.0863366 + 0.133532i
\(571\) 17820.6 + 6486.18i 1.30608 + 0.475374i 0.898972 0.438007i \(-0.144316\pi\)
0.407107 + 0.913381i \(0.366538\pi\)
\(572\) −136.162 + 114.253i −0.00995317 + 0.00835170i
\(573\) 5376.41 2269.44i 0.391977 0.165458i
\(574\) −1915.67 + 697.247i −0.139301 + 0.0507013i
\(575\) −16333.3 + 28290.1i −1.18460 + 2.05179i
\(576\) −12841.2 + 1297.62i −0.928906 + 0.0938675i
\(577\) −6169.28 10685.5i −0.445114 0.770960i 0.552946 0.833217i \(-0.313503\pi\)
−0.998060 + 0.0622571i \(0.980170\pi\)
\(578\) 1124.36 + 943.447i 0.0809118 + 0.0678931i
\(579\) −4037.16 17648.2i −0.289773 1.26673i
\(580\) 2535.47 + 14379.4i 0.181517 + 1.02943i
\(581\) 2081.80 + 11806.5i 0.148654 + 0.843057i
\(582\) 439.570 + 135.354i 0.0313072 + 0.00964024i
\(583\) 76.4181 + 64.1224i 0.00542867 + 0.00455519i
\(584\) −1627.78 2819.40i −0.115339 0.199774i
\(585\) −15015.3 + 7249.04i −1.06120 + 0.512327i
\(586\) −723.714 + 1253.51i −0.0510176 + 0.0883651i
\(587\) 7668.07 2790.95i 0.539174 0.196243i −0.0580560 0.998313i \(-0.518490\pi\)
0.597230 + 0.802070i \(0.296268\pi\)
\(588\) −3895.42 2947.67i −0.273205 0.206735i
\(589\) −9955.31 + 8353.50i −0.696437 + 0.584380i
\(590\) 270.333 + 98.3932i 0.0188635 + 0.00686574i
\(591\) 21893.2 1103.36i 1.52380 0.0767957i
\(592\) 1596.76 9055.68i 0.110856 0.628693i
\(593\) 14782.8 1.02371 0.511853 0.859073i \(-0.328959\pi\)
0.511853 + 0.859073i \(0.328959\pi\)
\(594\) −20.2073 + 22.9654i −0.00139582 + 0.00158633i
\(595\) −574.319 −0.0395710
\(596\) 1889.75 10717.3i 0.129878 0.736574i
\(597\) 971.843 1897.93i 0.0666246 0.130113i
\(598\) 1019.72 + 371.146i 0.0697312 + 0.0253801i
\(599\) −6243.55 + 5238.96i −0.425884 + 0.357359i −0.830396 0.557174i \(-0.811886\pi\)
0.404512 + 0.914533i \(0.367441\pi\)
\(600\) 847.899 6792.96i 0.0576922 0.462203i
\(601\) −9208.27 + 3351.54i −0.624980 + 0.227474i −0.635045 0.772475i \(-0.719018\pi\)
0.0100647 + 0.999949i \(0.496796\pi\)
\(602\) −925.016 + 1602.17i −0.0626259 + 0.108471i
\(603\) 2407.55 + 610.535i 0.162592 + 0.0412320i
\(604\) 1481.72 + 2566.42i 0.0998186 + 0.172891i
\(605\) −20436.6 17148.3i −1.37333 1.15236i
\(606\) −1946.61 + 1807.96i −0.130488 + 0.121194i
\(607\) −1060.08 6012.04i −0.0708855 0.402012i −0.999519 0.0310132i \(-0.990127\pi\)
0.928633 0.370998i \(-0.120984\pi\)
\(608\) −682.161 3868.73i −0.0455021 0.258055i
\(609\) −7531.67 + 6995.22i −0.501147 + 0.465453i
\(610\) 2489.19 + 2088.68i 0.165220 + 0.138636i
\(611\) 325.816 + 564.330i 0.0215730 + 0.0373655i
\(612\) −275.931 69.9739i −0.0182253 0.00462177i
\(613\) 6792.35 11764.7i 0.447537 0.775158i −0.550688 0.834711i \(-0.685634\pi\)
0.998225 + 0.0595537i \(0.0189678\pi\)
\(614\) −696.720 + 253.585i −0.0457937 + 0.0166675i
\(615\) −4096.26 + 32817.3i −0.268581 + 2.15174i
\(616\) 57.1113 47.9221i 0.00373552 0.00313447i
\(617\) −15876.2 5778.46i −1.03590 0.377037i −0.232576 0.972578i \(-0.574715\pi\)
−0.803325 + 0.595541i \(0.796938\pi\)
\(618\) 468.675 915.284i 0.0305062 0.0595763i
\(619\) −2305.23 + 13073.6i −0.149685 + 0.848907i 0.813800 + 0.581145i \(0.197395\pi\)
−0.963485 + 0.267762i \(0.913716\pi\)
\(620\) 29662.9 1.92144
\(621\) −16217.9 3253.80i −1.04799 0.210258i
\(622\) −482.396 −0.0310970
\(623\) 2009.85 11398.4i 0.129250 0.733015i
\(624\) 9887.50 498.306i 0.634322 0.0319682i
\(625\) −24909.3 9066.24i −1.59419 0.580240i
\(626\) −2282.19 + 1914.98i −0.145710 + 0.122265i
\(627\) 210.086 + 158.972i 0.0133812 + 0.0101256i
\(628\) −3926.28 + 1429.05i −0.249484 + 0.0908046i
\(629\) 99.0503 171.560i 0.00627884 0.0108753i
\(630\) 3131.30 1511.73i 0.198022 0.0956009i
\(631\) −8328.78 14425.9i −0.525457 0.910119i −0.999560 0.0296493i \(-0.990561\pi\)
0.474103 0.880469i \(-0.342772\pi\)
\(632\) −2438.84 2046.43i −0.153500 0.128802i
\(633\) −3109.17 957.390i −0.195227 0.0601151i
\(634\) −105.774 599.876i −0.00662592 0.0375774i
\(635\) 3143.70 + 17828.8i 0.196463 + 1.11420i
\(636\) −1253.33 5478.85i −0.0781410 0.341589i
\(637\) 2803.73 + 2352.61i 0.174392 + 0.146332i
\(638\) −10.0353 17.3816i −0.000622726 0.00107859i
\(639\) 28560.3 2886.07i 1.76812 0.178672i
\(640\) −5966.22 + 10333.8i −0.368493 + 0.638248i
\(641\) −15060.7 + 5481.65i −0.928022 + 0.337772i −0.761425 0.648253i \(-0.775500\pi\)
−0.166597 + 0.986025i \(0.553278\pi\)
\(642\) 1254.78 529.657i 0.0771375 0.0325606i
\(643\) 3341.80 2804.10i 0.204957 0.171980i −0.534531 0.845149i \(-0.679512\pi\)
0.739489 + 0.673169i \(0.235067\pi\)
\(644\) 18835.0 + 6855.37i 1.15249 + 0.419471i
\(645\) 16295.5 + 25203.4i 0.994785 + 1.53858i
\(646\) 4.80660 27.2596i 0.000292745 0.00166024i
\(647\) −10839.2 −0.658628 −0.329314 0.944220i \(-0.606817\pi\)
−0.329314 + 0.944220i \(0.606817\pi\)
\(648\) 3396.31 693.486i 0.205894 0.0420412i
\(649\) 35.0249 0.00211841
\(650\) −442.823 + 2511.37i −0.0267215 + 0.151545i
\(651\) 11338.2 + 17536.1i 0.682609 + 1.05575i
\(652\) −5309.29 1932.42i −0.318908 0.116073i
\(653\) −11232.4 + 9425.09i −0.673135 + 0.564827i −0.913992 0.405733i \(-0.867016\pi\)
0.240856 + 0.970561i \(0.422572\pi\)
\(654\) 1583.25 668.307i 0.0946637 0.0399585i
\(655\) 36069.6 13128.3i 2.15169 0.783151i
\(656\) 9818.37 17005.9i 0.584364 1.01215i
\(657\) −10805.7 14998.9i −0.641660 0.890658i
\(658\) −67.9460 117.686i −0.00402555 0.00697246i
\(659\) 10953.7 + 9191.24i 0.647489 + 0.543308i 0.906308 0.422618i \(-0.138889\pi\)
−0.258819 + 0.965926i \(0.583333\pi\)
\(660\) −134.096 586.195i −0.00790863 0.0345721i
\(661\) −313.393 1777.34i −0.0184411 0.104585i 0.974198 0.225696i \(-0.0724654\pi\)
−0.992639 + 0.121111i \(0.961354\pi\)
\(662\) 62.9763 + 357.156i 0.00369735 + 0.0209687i
\(663\) 203.837 + 62.7663i 0.0119402 + 0.00367668i
\(664\) 2032.01 + 1705.06i 0.118761 + 0.0996524i
\(665\) −14973.3 25934.5i −0.873140 1.51232i
\(666\) −88.4607 + 1196.10i −0.00514682 + 0.0695916i
\(667\) 5426.43 9398.85i 0.315011 0.545614i
\(668\) 27362.9 9959.29i 1.58489 0.576851i
\(669\) −18795.9 14222.9i −1.08624 0.821957i
\(670\) 422.289 354.342i 0.0243499 0.0204320i
\(671\) 371.752 + 135.307i 0.0213880 + 0.00778458i
\(672\) −6304.40 + 317.726i −0.361901 + 0.0182389i
\(673\) −75.6114 + 428.813i −0.00433076 + 0.0245610i −0.986897 0.161354i \(-0.948414\pi\)
0.982566 + 0.185915i \(0.0595250\pi\)
\(674\) 2541.69 0.145255
\(675\) 912.159 38860.8i 0.0520134 2.21593i
\(676\) 9876.64 0.561939
\(677\) −4269.07 + 24211.1i −0.242354 + 1.37446i 0.584205 + 0.811606i \(0.301406\pi\)
−0.826559 + 0.562851i \(0.809705\pi\)
\(678\) 473.335 924.385i 0.0268117 0.0523611i
\(679\) −5981.21 2176.98i −0.338053 0.123041i
\(680\) −97.3441 + 81.6814i −0.00548967 + 0.00460638i
\(681\) 4204.37 33683.4i 0.236581 1.89537i
\(682\) −38.3150 + 13.9455i −0.00215126 + 0.000782994i
\(683\) −953.659 + 1651.79i −0.0534271 + 0.0925385i −0.891502 0.453017i \(-0.850348\pi\)
0.838075 + 0.545555i \(0.183681\pi\)
\(684\) −4034.10 14284.5i −0.225508 0.798512i
\(685\) 26485.4 + 45874.1i 1.47731 + 2.55877i
\(686\) 1102.85 + 925.400i 0.0613804 + 0.0515043i
\(687\) −20491.1 + 19031.6i −1.13797 + 1.05692i
\(688\) −3094.45 17549.5i −0.171475 0.972484i
\(689\) 731.230 + 4147.01i 0.0404320 + 0.229301i
\(690\) −2689.97 + 2498.38i −0.148414 + 0.137843i
\(691\) −9024.11 7572.13i −0.496807 0.416870i 0.359652 0.933087i \(-0.382896\pi\)
−0.856458 + 0.516216i \(0.827340\pi\)
\(692\) −7928.00 13731.7i −0.435517 0.754337i
\(693\) 295.291 303.339i 0.0161864 0.0166276i
\(694\) 988.887 1712.80i 0.0540888 0.0936846i
\(695\) −3123.83 + 1136.98i −0.170495 + 0.0620550i
\(696\) −281.698 + 2256.83i −0.0153416 + 0.122909i
\(697\) 324.070 271.927i 0.0176113 0.0147776i
\(698\) −1471.82 535.697i −0.0798124 0.0290493i
\(699\) −4937.13 + 9641.82i −0.267152 + 0.521727i
\(700\) −8179.30 + 46387.1i −0.441641 + 2.50467i
\(701\) 24949.8 1.34428 0.672141 0.740423i \(-0.265375\pi\)
0.672141 + 0.740423i \(0.265375\pi\)
\(702\) −1276.57 + 194.326i −0.0686341 + 0.0104478i
\(703\) 10329.5 0.554174
\(704\) −60.5607 + 343.457i −0.00324214 + 0.0183871i
\(705\) −2201.75 + 110.963i −0.117621 + 0.00592780i
\(706\) −1378.14 501.603i −0.0734661 0.0267395i
\(707\) 28164.4 23632.7i 1.49820 1.25714i
\(708\) −1573.59 1190.74i −0.0835297 0.0632071i
\(709\) −12350.5 + 4495.22i −0.654208 + 0.238112i −0.647734 0.761867i \(-0.724283\pi\)
−0.00647435 + 0.999979i \(0.502061\pi\)
\(710\) 3185.56 5517.55i 0.168383 0.291648i
\(711\) −14946.5 10169.0i −0.788378 0.536380i
\(712\) −1280.46 2217.82i −0.0673979 0.116737i
\(713\) −16889.7 14172.2i −0.887133 0.744393i
\(714\) −42.5084 13.0894i −0.00222806 0.000686075i
\(715\) 78.2360 + 443.699i 0.00409211 + 0.0232075i
\(716\) 3958.61 + 22450.4i 0.206620 + 1.17180i
\(717\) 5511.01 + 24091.1i 0.287047 + 1.25481i
\(718\) 2061.10 + 1729.47i 0.107130 + 0.0898929i
\(719\) −8434.31 14608.6i −0.437478 0.757734i 0.560016 0.828481i \(-0.310795\pi\)
−0.997494 + 0.0707477i \(0.977461\pi\)
\(720\) −13745.4 + 30542.5i −0.711474 + 1.58091i
\(721\) −7115.32 + 12324.1i −0.367529 + 0.636579i
\(722\) −569.950 + 207.445i −0.0293786 + 0.0106929i
\(723\) −11040.0 + 4660.11i −0.567888 + 0.239712i
\(724\) −5506.29 + 4620.33i −0.282651 + 0.237173i
\(725\) 23966.1 + 8722.93i 1.22769 + 0.446844i
\(726\) −1121.79 1735.01i −0.0573464 0.0886946i
\(727\) −5594.68 + 31729.0i −0.285413 + 1.61866i 0.418393 + 0.908266i \(0.362594\pi\)
−0.703806 + 0.710392i \(0.748518\pi\)
\(728\) 3147.10 0.160219
\(729\) 18791.5 5856.75i 0.954705 0.297554i
\(730\) −4102.86 −0.208019
\(731\) 66.6653 378.078i 0.00337306 0.0191296i
\(732\) −12102.0 18717.4i −0.611067 0.945104i
\(733\) 16319.0 + 5939.64i 0.822315 + 0.299298i 0.718701 0.695319i \(-0.244737\pi\)
0.103614 + 0.994618i \(0.466959\pi\)
\(734\) 199.814 167.664i 0.0100481 0.00843132i
\(735\) −11407.6 + 4815.26i −0.572483 + 0.241651i
\(736\) 6262.83 2279.48i 0.313656 0.114162i
\(737\) 33.5574 58.1231i 0.00167721 0.00290501i
\(738\) −1051.13 + 2335.62i −0.0524290 + 0.116498i
\(739\) −14926.7 25853.8i −0.743014 1.28694i −0.951117 0.308831i \(-0.900062\pi\)
0.208103 0.978107i \(-0.433271\pi\)
\(740\) −18061.2 15155.1i −0.897219 0.752856i
\(741\) 2479.97 + 10841.0i 0.122947 + 0.537457i
\(742\) −152.492 864.823i −0.00754467 0.0427880i
\(743\) −3365.15 19084.7i −0.166158 0.942328i −0.947863 0.318679i \(-0.896761\pi\)
0.781705 0.623649i \(-0.214350\pi\)
\(744\) 4415.81 + 1359.74i 0.217596 + 0.0670031i
\(745\) −21131.2 17731.2i −1.03918 0.871972i
\(746\) −940.389 1628.80i −0.0461529 0.0799392i
\(747\) 12453.2 + 8472.65i 0.609959 + 0.414991i
\(748\) −3.84604 + 6.66154i −0.000188002 + 0.000325628i
\(749\) −17711.8 + 6446.58i −0.864054 + 0.314490i
\(750\) −3775.88 2857.22i −0.183834 0.139108i
\(751\) −19081.1 + 16010.9i −0.927136 + 0.777960i −0.975301 0.220880i \(-0.929107\pi\)
0.0481647 + 0.998839i \(0.484663\pi\)
\(752\) 1230.03 + 447.693i 0.0596469 + 0.0217097i
\(753\) −10323.0 + 520.254i −0.499590 + 0.0251781i
\(754\) 147.119 834.356i 0.00710580 0.0402990i
\(755\) 7511.60 0.362086
\(756\) −23579.3 + 3589.35i −1.13436 + 0.172677i
\(757\) 30693.0 1.47366 0.736828 0.676081i \(-0.236323\pi\)
0.736828 + 0.676081i \(0.236323\pi\)
\(758\) −153.443 + 870.216i −0.00735262 + 0.0416988i
\(759\) −203.716 + 397.841i −0.00974231 + 0.0190260i
\(760\) −6226.37 2266.21i −0.297177 0.108163i