Properties

Label 27.4.e.a.13.4
Level 27
Weight 4
Character 27.13
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 13.4
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.4

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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 0.974259 0.225434i \(-0.0723799\pi\)
−0.992606 + 0.121378i \(0.961269\pi\)
\(3\) −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 0.971416 + 0.237385i \(0.0762902\pi\)
0.402463 + 0.915436i \(0.368154\pi\)
\(6\) 1.43066 + 0.603897i 0.0973441 + 0.0410900i
\(7\) −20.1945 7.35018i −1.09040 0.396872i −0.266630 0.963799i \(-0.585910\pi\)
−0.823768 + 0.566927i \(0.808132\pi\)
\(8\) −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 −0.635096 0.772433i \(-0.719039\pi\)
0.650415 + 0.759579i \(0.274595\pi\)
\(12\) −9.16632 + 40.0701i −0.220507 + 0.963936i
\(13\) 5.34792 30.3295i 0.114096 0.647069i −0.873098 0.487545i \(-0.837893\pi\)
0.987194 0.159525i \(-0.0509962\pi\)
\(14\) −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 −0.861233 0.508211i \(-0.830307\pi\)
0.870740 + 0.491744i \(0.163640\pi\)
\(18\) −6.67142 + 4.53896i −0.0873594 + 0.0594357i
\(19\) −34.7473 60.1840i −0.419556 0.726693i 0.576338 0.817211i \(-0.304481\pi\)
−0.995895 + 0.0905182i \(0.971148\pi\)
\(20\) 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 −0.791285 0.611447i \(-0.790588\pi\)
−0.213129 + 0.977024i \(0.568365\pi\)
\(24\) 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 −0.992245 0.124299i \(-0.960332\pi\)
0.889892 0.456171i \(-0.150779\pi\)
\(30\) 14.1920 + 27.7158i 0.0863696 + 0.168673i
\(31\) 175.726 63.9590i 1.01811 0.370561i 0.221566 0.975145i \(-0.428883\pi\)
0.796541 + 0.604585i \(0.206661\pi\)
\(32\) −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 −0.982554 0.185979i \(-0.940454\pi\)
0.652339 + 0.757927i \(0.273788\pi\)
\(38\) −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 0.679499 + 0.733677i \(0.262197\pi\)
−0.889452 + 0.457028i \(0.848914\pi\)
\(42\) −24.4527 22.7110i −0.0898364 0.0834377i
\(43\) −220.661 + 185.157i −0.782571 + 0.656655i −0.943895 0.330246i \(-0.892868\pi\)
0.161324 + 0.986902i \(0.448424\pi\)
\(44\) 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 0.372689 0.927956i \(-0.378436\pi\)
−0.310983 + 0.950416i \(0.600658\pi\)
\(48\) 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 0.682460 0.730923i \(-0.260910\pi\)
−0.601311 + 0.799015i \(0.705355\pi\)
\(60\) −657.259 + 497.349i −1.41420 + 1.07013i
\(61\) 509.543 + 185.458i 1.06951 + 0.389271i 0.815994 0.578060i \(-0.196190\pi\)
0.253518 + 0.967331i \(0.418412\pi\)
\(62\) −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 −0.995902 0.0904411i \(-0.971172\pi\)
0.966774 + 0.255632i \(0.0822834\pi\)
\(68\) 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 −0.0469890 + 0.998895i \(0.514963\pi\)
−0.841574 + 0.540141i \(0.818371\pi\)
\(72\) −75.0455 + 104.167i −0.122836 + 0.170503i
\(73\) −342.332 592.936i −0.548862 0.950657i −0.998353 0.0573721i \(-0.981728\pi\)
0.449491 0.893285i \(-0.351605\pi\)
\(74\) 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 −0.948463 0.316887i \(-0.897363\pi\)
0.782882 0.622170i \(-0.213749\pi\)
\(80\) 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 0.979413 + 0.201866i \(0.0647005\pi\)
−0.851305 + 0.524671i \(0.824188\pi\)
\(84\) 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 0.659913 0.751342i \(-0.270593\pi\)
−0.980638 + 0.195831i \(0.937260\pi\)
\(90\) −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 −0.516271 0.856426i \(-0.672680\pi\)
0.753765 + 0.657144i \(0.228236\pi\)
\(98\) 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 −0.607783 0.794103i \(-0.707941\pi\)
−0.976028 + 0.217643i \(0.930163\pi\)
\(102\) 1.65040 1.24886i 0.00160210 0.00121231i
\(103\) 507.261 + 425.643i 0.485262 + 0.407183i 0.852325 0.523013i \(-0.175192\pi\)
−0.367063 + 0.930196i \(0.619637\pi\)
\(104\) −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 0.830626 0.556830i \(-0.187983\pi\)
−0.404134 + 0.914700i \(0.632427\pi\)
\(114\) −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 0.664109 0.747636i \(-0.268811\pi\)
−0.979526 + 0.201317i \(0.935478\pi\)
\(128\) −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 0.336603 0.941647i \(-0.390722\pi\)
0.863132 + 0.504979i \(0.168500\pi\)
\(132\) 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 −0.701427 0.712741i \(-0.747454\pi\)
0.415354 0.909660i \(-0.363658\pi\)
\(138\) −182.856 9.21550i −0.112795 0.00568460i
\(139\) −155.790 + 56.7028i −0.0950641 + 0.0346005i −0.389114 0.921189i \(-0.627219\pi\)
0.294050 + 0.955790i \(0.404997\pi\)
\(140\) −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 0.845992 + 0.533196i \(0.179009\pi\)
−0.977336 + 0.211694i \(0.932102\pi\)
\(150\) −95.9459 + 419.422i −0.0522263 + 0.228305i
\(151\) 286.970 240.797i 0.154658 0.129773i −0.562175 0.827018i \(-0.690035\pi\)
0.716833 + 0.697245i \(0.245591\pi\)
\(152\) −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 0.534131 0.845402i \(-0.320639\pi\)
−0.739808 + 0.672818i \(0.765084\pi\)
\(158\) −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 0.988965 + 0.148152i \(0.0473325\pi\)
0.317633 + 0.948214i \(0.397112\pi\)
\(168\) −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 −0.914477 0.404638i \(-0.867398\pi\)
0.239693 + 0.970849i \(0.422953\pi\)
\(174\) 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 −0.390913 0.920428i \(-0.627841\pi\)
0.992570 0.121673i \(-0.0388259\pi\)
\(180\) −315.882 4271.13i −0.130803 1.76862i
\(181\) −454.319 786.904i −0.186571 0.323150i 0.757534 0.652796i \(-0.226404\pi\)
−0.944105 + 0.329646i \(0.893071\pi\)
\(182\) 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 −0.999207 0.0398281i \(-0.987319\pi\)
0.925325 0.379175i \(-0.123792\pi\)
\(192\) 1132.09 + 2210.88i 0.425529 + 0.831024i
\(193\) 3274.01 1191.64i 1.22108 0.444437i 0.350547 0.936545i \(-0.385996\pi\)
0.870534 + 0.492108i \(0.163774\pi\)
\(194\) −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 −0.941367 0.337384i \(-0.890458\pi\)
0.178500 0.983940i \(-0.442875\pi\)
\(198\) −1.59998 + 5.66544i −0.000574271 + 0.00203346i
\(199\) 205.179 355.380i 0.0730892 0.126594i −0.827165 0.561960i \(-0.810048\pi\)
0.900254 + 0.435366i \(0.143381\pi\)
\(200\) 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 0.717667 0.696386i \(-0.245210\pi\)
−0.561185 + 0.827690i \(0.689654\pi\)
\(212\) 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 0.890441 0.455099i \(-0.150396\pi\)
0.389585 + 0.920990i \(0.372618\pi\)
\(224\) 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 0.541035 0.841000i \(-0.318033\pi\)
0.922173 0.386777i \(-0.126412\pi\)
\(228\) 2730.08 840.659i 0.793001 0.244184i
\(229\) −934.579 + 5300.26i −0.269689 + 1.52948i 0.485654 + 0.874151i \(0.338582\pi\)
−0.755343 + 0.655330i \(0.772530\pi\)
\(230\) −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 −0.974535 0.224235i \(-0.928012\pi\)
0.681461 + 0.731854i \(0.261345\pi\)
\(234\) 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 −0.866562 0.499069i \(-0.833675\pi\)
−0.343030 + 0.939324i \(0.611453\pi\)
\(240\) −3499.75 + 5412.88i −0.941284 + 1.45583i
\(241\) 400.465 + 2271.15i 0.107038 + 0.607043i 0.990387 + 0.138327i \(0.0441724\pi\)
−0.883349 + 0.468717i \(0.844717\pi\)
\(242\) 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 0.963556 0.267505i \(-0.0861992\pi\)
−0.713444 + 0.700712i \(0.752866\pi\)
\(252\) 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 −0.506737 0.862101i \(-0.669148\pi\)
0.771033 0.636796i \(-0.219741\pi\)
\(258\) −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 0.0578002 0.998328i \(-0.481591\pi\)
−0.597435 + 0.801917i \(0.703814\pi\)
\(264\) 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 −0.599553 0.800335i \(-0.704655\pi\)
−0.973730 + 0.227707i \(0.926877\pi\)
\(278\) 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 −0.894940 0.446186i \(-0.852782\pi\)
0.284003 + 0.958823i \(0.408337\pi\)
\(282\) 24.0751 + 22.3603i 0.00508386 + 0.00472176i
\(283\) 404.252 2292.63i 0.0849127 0.481564i −0.912463 0.409160i \(-0.865822\pi\)
0.997375 0.0724041i \(-0.0230671\pi\)
\(284\) −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 0.154214 0.988038i \(-0.450716\pi\)
0.753233 + 0.657754i \(0.228493\pi\)
\(294\) 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 −0.727379 0.686236i \(-0.759262\pi\)
0.957987 + 0.286811i \(0.0925951\pi\)
\(308\) −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 −0.948534 0.316677i \(-0.897433\pi\)
0.999640 + 0.0268390i \(0.00854414\pi\)
\(312\) 169.685 741.770i 0.0307902 0.134598i
\(313\) 7636.44 6407.73i 1.37903 1.15715i 0.409463 0.912327i \(-0.365716\pi\)
0.969569 0.244819i \(-0.0787284\pi\)
\(314\) −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 0.166724 0.986004i \(-0.446681\pi\)
−0.506073 + 0.862491i \(0.668903\pi\)
\(318\) 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 0.434960 0.900450i \(-0.356762\pi\)
−0.245599 + 0.969371i \(0.578985\pi\)
\(332\) 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 0.595919 + 0.803044i \(0.296788\pi\)
−0.834638 + 0.550798i \(0.814323\pi\)
\(338\) 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 −0.774846 0.632151i \(-0.782172\pi\)
−0.187228 + 0.982317i \(0.559950\pi\)
\(348\) 3778.94 + 190.449i 0.582105 + 0.0293367i
\(349\) −910.076 5161.30i −0.139585 0.791628i −0.971556 0.236809i \(-0.923899\pi\)
0.831971 0.554819i \(-0.187213\pi\)
\(350\) −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 −0.979176 0.203013i \(-0.934927\pi\)
0.850690 0.525668i \(-0.176184\pi\)
\(354\) 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 0.980148 + 0.198267i \(0.0635314\pi\)
−0.318369 + 0.947967i \(0.603135\pi\)
\(360\) −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 −0.689097 0.724669i \(-0.741992\pi\)
0.594000 + 0.804465i \(0.297548\pi\)
\(368\) −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 0.243615 0.969872i \(-0.421667\pi\)
−0.912834 + 0.408331i \(0.866111\pi\)
\(374\) −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 0.796615 0.604487i \(-0.206622\pi\)
−0.456973 + 0.889481i \(0.651066\pi\)
\(384\) 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 −0.976524 0.215406i \(-0.930892\pi\)
0.0425622 + 0.999094i \(0.486448\pi\)
\(390\) 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 0.965568 0.260152i \(-0.0837725\pi\)
−0.708082 + 0.706130i \(0.750439\pi\)
\(398\) −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 −0.559824 0.828611i \(-0.689131\pi\)
0.103771 + 0.994601i \(0.466909\pi\)
\(402\) −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 0.389513 0.921021i \(-0.372643\pi\)
0.890405 + 0.455169i \(0.150421\pi\)
\(410\) 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 0.861976 + 0.506949i \(0.169227\pi\)
−0.983379 + 0.181563i \(0.941884\pi\)
\(420\) 16928.6 5212.73i 1.96674 0.605607i
\(421\) −12007.1 + 10075.2i −1.39000 + 1.16635i −0.424666 + 0.905350i \(0.639608\pi\)
−0.965338 + 0.261002i \(0.915947\pi\)
\(422\) 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 0.798257 0.602317i \(-0.205756\pi\)
0.224338 + 0.974511i \(0.427978\pi\)
\(440\) −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 −0.595242 0.803547i \(-0.702944\pi\)
0.687976 + 0.725733i \(0.258499\pi\)
\(444\) −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 −0.693799 0.720168i \(-0.744065\pi\)
0.970584 + 0.240764i \(0.0773979\pi\)
\(450\) −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 −0.934983 0.354693i \(-0.884585\pi\)
0.757284 0.653085i \(-0.226526\pi\)
\(458\) 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 0.833526 + 0.552480i \(0.186318\pi\)
−0.594299 + 0.804244i \(0.702570\pi\)
\(462\) −24.3170 1.22552i −0.00244877 0.000123412i
\(463\) −3631.88 + 1321.90i −0.364552 + 0.132686i −0.517800 0.855502i \(-0.673249\pi\)
0.153248 + 0.988188i \(0.451027\pi\)
\(464\) −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 −0.975210 0.221281i \(-0.928976\pi\)
0.295970 0.955197i \(-0.404357\pi\)
\(468\) −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 0.637617 0.770354i \(-0.279920\pi\)
−0.00673130 + 0.999977i \(0.502143\pi\)
\(480\) 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 0.0308914 0.999523i \(-0.490165\pi\)
−0.978974 + 0.203987i \(0.934610\pi\)
\(492\) −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 −0.741402 0.671061i \(-0.765839\pi\)
0.926206 0.377017i \(-0.123050\pi\)
\(500\) −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 0.362194 + 0.932103i \(0.382028\pi\)
−0.988322 + 0.152383i \(0.951305\pi\)
\(504\) 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 0.212576 0.977145i \(-0.431815\pi\)
0.790939 + 0.611895i \(0.209593\pi\)
\(510\) 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 0.999681 0.0252735i \(-0.00804566\pi\)
−0.521728 + 0.853112i \(0.674712\pi\)
\(522\) 518.104 + 532.224i 0.0434421 + 0.0446261i
\(523\) −1568.15 + 2716.12i −0.131110 + 0.227089i −0.924105 0.382139i \(-0.875187\pi\)
0.792995 + 0.609229i \(0.208521\pi\)
\(524\) 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 −0.138428 0.990372i \(-0.544205\pi\)
−0.742642 + 0.669689i \(0.766427\pi\)
\(548\) −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 −0.962678 0.270648i \(-0.912762\pi\)
0.715727 + 0.698380i \(0.246095\pi\)
\(558\) −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 −0.805947 0.591988i \(-0.798343\pi\)
−0.236869 + 0.971542i \(0.576121\pi\)
\(564\) −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 −0.577191 0.816609i \(-0.695851\pi\)
0.263086 0.964772i \(-0.415260\pi\)
\(570\) 1174.92 1817.18i 0.0863366 0.133532i
\(571\) 17820.6 6486.18i 1.30608 0.475374i 0.407107 0.913381i \(-0.366538\pi\)
0.898972 + 0.438007i \(0.144316\pi\)
\(572\) −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 −0.998060 0.0622571i \(-0.980170\pi\)
0.552946 + 0.833217i \(0.313503\pi\)
\(578\) 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 0.597230 0.802070i \(-0.296268\pi\)
−0.0580560 + 0.998313i \(0.518490\pi\)
\(588\) −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 0.404512 0.914533i \(-0.367441\pi\)
−0.830396 + 0.557174i \(0.811886\pi\)
\(600\) 847.899 + 6792.96i 0.0576922 + 0.462203i
\(601\) −9208.27 3351.54i −0.624980 0.227474i 0.0100647 0.999949i \(-0.496796\pi\)
−0.635045 + 0.772475i \(0.719018\pi\)
\(602\) −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 0.928633 + 0.370998i \(0.120984\pi\)
−0.999519 + 0.0310132i \(0.990127\pi\)
\(608\) −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 0.998225 0.0595537i \(-0.0189678\pi\)
−0.550688 + 0.834711i \(0.685634\pi\)
\(614\) −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 −0.803325 0.595541i \(-0.796938\pi\)
−0.232576 + 0.972578i \(0.574715\pi\)
\(618\) 468.675 + 915.284i 0.0305062 + 0.0595763i
\(619\) −2305.23 13073.6i −0.149685 0.848907i −0.963485 0.267762i \(-0.913716\pi\)
0.813800 0.581145i \(-0.197395\pi\)
\(620\) 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 0.474103 + 0.880469i \(0.342772\pi\)
−0.999560 + 0.0296493i \(0.990561\pi\)
\(632\) −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 −0.166597 0.986025i \(-0.553278\pi\)
−0.761425 + 0.648253i \(0.775500\pi\)
\(642\) 1254.78 + 529.657i 0.0771375 + 0.0325606i
\(643\) 3341.80 + 2804.10i 0.204957 + 0.171980i 0.739489 0.673169i \(-0.235067\pi\)
−0.534531 + 0.845149i \(0.679512\pi\)
\(644\) 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 0.240856 0.970561i \(-0.422572\pi\)
−0.913992 + 0.405733i \(0.867016\pi\)
\(654\) 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 −0.258819 0.965926i \(-0.583333\pi\)
0.906308 + 0.422618i \(0.138889\pi\)
\(660\) −134.096 + 586.195i −0.00790863 + 0.0345721i
\(661\) −313.393 + 1777.34i −0.0184411 + 0.104585i −0.992639 0.121111i \(-0.961354\pi\)
0.974198 + 0.225696i \(0.0724654\pi\)
\(662\) 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 0.982566 0.185915i \(-0.0595250\pi\)
−0.986897 + 0.161354i \(0.948414\pi\)
\(674\) 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 −0.826559 0.562851i \(-0.809705\pi\)
0.584205 0.811606i \(-0.301406\pi\)
\(678\) 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 0.838075 0.545555i \(-0.183681\pi\)
−0.891502 + 0.453017i \(0.850348\pi\)
\(684\) −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 −0.856458 0.516216i \(-0.827340\pi\)
0.359652 + 0.933087i \(0.382896\pi\)
\(692\) −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 −0.00647435 0.999979i \(-0.502061\pi\)
−0.647734 + 0.761867i \(0.724283\pi\)
\(710\) 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 −0.997494 0.0707477i \(-0.977461\pi\)
0.560016 + 0.828481i \(0.310795\pi\)
\(720\) −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 −0.703806 0.710392i \(-0.748518\pi\)
0.418393 0.908266i \(-0.362594\pi\)
\(728\) 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 0.103614 0.994618i \(-0.466959\pi\)
0.718701 + 0.695319i \(0.244737\pi\)
\(734\) 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 0.208103 + 0.978107i \(0.433271\pi\)
−0.951117 + 0.308831i \(0.900062\pi\)
\(740\) −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 0.781705 + 0.623649i \(0.214350\pi\)
−0.947863 + 0.318679i \(0.896761\pi\)
\(744\) 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 0.0481647 0.998839i \(-0.484663\pi\)
−0.975301 + 0.220880i \(0.929107\pi\)
\(752\) 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