Properties

Label 27.4.e.a.25.7
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 25.7
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.640527 - 3.63261i) q^{2} +(5.12390 + 0.863506i) q^{3} +(-5.26804 - 1.91741i) q^{4} +(-1.23763 + 1.03850i) q^{5} +(6.41878 - 18.0600i) q^{6} +(-31.9169 + 11.6168i) q^{7} +(4.41508 - 7.64714i) q^{8} +(25.5087 + 8.84904i) q^{9} +O(q^{10})\) \(q+(0.640527 - 3.63261i) q^{2} +(5.12390 + 0.863506i) q^{3} +(-5.26804 - 1.91741i) q^{4} +(-1.23763 + 1.03850i) q^{5} +(6.41878 - 18.0600i) q^{6} +(-31.9169 + 11.6168i) q^{7} +(4.41508 - 7.64714i) q^{8} +(25.5087 + 8.84904i) q^{9} +(2.97972 + 5.16102i) q^{10} +(18.8740 + 15.8372i) q^{11} +(-25.3372 - 14.3736i) q^{12} +(5.35351 + 30.3613i) q^{13} +(21.7557 + 123.382i) q^{14} +(-7.23826 + 4.25245i) q^{15} +(-59.3074 - 49.7648i) q^{16} +(-18.2417 - 31.5955i) q^{17} +(48.4841 - 86.9951i) q^{18} +(36.5170 - 63.2494i) q^{19} +(8.51112 - 3.09779i) q^{20} +(-173.570 + 31.9629i) q^{21} +(69.6196 - 58.4178i) q^{22} +(-62.9523 - 22.9128i) q^{23} +(29.2258 - 35.3707i) q^{24} +(-21.2528 + 120.530i) q^{25} +113.720 q^{26} +(123.063 + 67.3685i) q^{27} +190.413 q^{28} +(41.0688 - 232.913i) q^{29} +(10.8112 + 29.0176i) q^{30} +(-152.414 - 55.4740i) q^{31} +(-164.650 + 138.158i) q^{32} +(83.0331 + 97.4460i) q^{33} +(-126.458 + 46.0271i) q^{34} +(27.4374 - 47.5229i) q^{35} +(-117.414 - 95.5277i) q^{36} +(93.1046 + 161.262i) q^{37} +(-206.370 - 173.165i) q^{38} +(1.21372 + 160.191i) q^{39} +(2.47729 + 14.0494i) q^{40} +(-37.9265 - 215.092i) q^{41} +(4.93231 + 650.986i) q^{42} +(156.989 + 131.730i) q^{43} +(-69.0627 - 119.620i) q^{44} +(-40.7601 + 15.5389i) q^{45} +(-123.556 + 214.005i) q^{46} +(-450.185 + 163.854i) q^{47} +(-260.913 - 306.202i) q^{48} +(620.985 - 521.068i) q^{49} +(424.227 + 154.406i) q^{50} +(-66.1855 - 177.644i) q^{51} +(30.0125 - 170.209i) q^{52} +736.254 q^{53} +(323.549 - 403.888i) q^{54} -39.8060 q^{55} +(-52.0803 + 295.362i) q^{56} +(241.726 - 292.551i) q^{57} +(-819.775 - 298.374i) q^{58} +(39.2313 - 32.9190i) q^{59} +(46.2851 - 8.52338i) q^{60} +(108.686 - 39.5585i) q^{61} +(-299.141 + 518.127i) q^{62} +(-916.956 + 13.8958i) q^{63} +(86.7288 + 150.219i) q^{64} +(-38.1558 - 32.0165i) q^{65} +(407.168 - 239.210i) q^{66} +(20.2242 + 114.697i) q^{67} +(35.5163 + 201.423i) q^{68} +(-302.776 - 171.763i) q^{69} +(-155.058 - 130.109i) q^{70} +(118.488 + 205.227i) q^{71} +(180.293 - 156.000i) q^{72} +(-23.0477 + 39.9198i) q^{73} +(645.437 - 234.920i) q^{74} +(-212.976 + 599.234i) q^{75} +(-313.648 + 263.182i) q^{76} +(-786.377 - 286.218i) q^{77} +(582.689 + 98.1977i) q^{78} +(-130.778 + 741.681i) q^{79} +125.081 q^{80} +(572.389 + 451.455i) q^{81} -805.637 q^{82} +(-59.3213 + 336.428i) q^{83} +(975.660 + 164.423i) q^{84} +(55.3883 + 20.1597i) q^{85} +(579.078 - 485.904i) q^{86} +(411.554 - 1157.96i) q^{87} +(204.439 - 74.4099i) q^{88} +(-455.636 + 789.185i) q^{89} +(30.3387 + 158.019i) q^{90} +(-523.568 - 906.847i) q^{91} +(287.702 + 241.411i) q^{92} +(-733.050 - 415.854i) q^{93} +(306.862 + 1740.30i) q^{94} +(20.4896 + 116.202i) q^{95} +(-962.950 + 565.730i) q^{96} +(-37.6866 - 31.6228i) q^{97} +(-1495.08 - 2589.55i) q^{98} +(341.308 + 571.003i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.640527 3.63261i 0.226461 1.28432i −0.633413 0.773814i \(-0.718346\pi\)
0.859873 0.510507i \(-0.170542\pi\)
\(3\) 5.12390 + 0.863506i 0.986095 + 0.166182i
\(4\) −5.26804 1.91741i −0.658504 0.239676i
\(5\) −1.23763 + 1.03850i −0.110697 + 0.0928860i −0.696456 0.717599i \(-0.745241\pi\)
0.585759 + 0.810485i \(0.300797\pi\)
\(6\) 6.41878 18.0600i 0.436742 1.22883i
\(7\) −31.9169 + 11.6168i −1.72335 + 0.627248i −0.998122 0.0612602i \(-0.980488\pi\)
−0.725228 + 0.688508i \(0.758266\pi\)
\(8\) 4.41508 7.64714i 0.195121 0.337959i
\(9\) 25.5087 + 8.84904i 0.944767 + 0.327742i
\(10\) 2.97972 + 5.16102i 0.0942269 + 0.163206i
\(11\) 18.8740 + 15.8372i 0.517339 + 0.434099i 0.863703 0.504001i \(-0.168139\pi\)
−0.346364 + 0.938100i \(0.612584\pi\)
\(12\) −25.3372 14.3736i −0.609518 0.345775i
\(13\) 5.35351 + 30.3613i 0.114215 + 0.647746i 0.987136 + 0.159884i \(0.0511121\pi\)
−0.872921 + 0.487862i \(0.837777\pi\)
\(14\) 21.7557 + 123.382i 0.415317 + 2.35538i
\(15\) −7.23826 + 4.25245i −0.124594 + 0.0731986i
\(16\) −59.3074 49.7648i −0.926679 0.777576i
\(17\) −18.2417 31.5955i −0.260250 0.450766i 0.706058 0.708154i \(-0.250472\pi\)
−0.966308 + 0.257387i \(0.917138\pi\)
\(18\) 48.4841 86.9951i 0.634879 1.13916i
\(19\) 36.5170 63.2494i 0.440925 0.763705i −0.556833 0.830625i \(-0.687984\pi\)
0.997758 + 0.0669192i \(0.0213170\pi\)
\(20\) 8.51112 3.09779i 0.0951572 0.0346344i
\(21\) −173.570 + 31.9629i −1.80362 + 0.332137i
\(22\) 69.6196 58.4178i 0.674680 0.566124i
\(23\) −62.9523 22.9128i −0.570716 0.207724i 0.0405108 0.999179i \(-0.487101\pi\)
−0.611227 + 0.791455i \(0.709324\pi\)
\(24\) 29.2258 35.3707i 0.248570 0.300834i
\(25\) −21.2528 + 120.530i −0.170022 + 0.964243i
\(26\) 113.720 0.857780
\(27\) 123.063 + 67.3685i 0.877166 + 0.480188i
\(28\) 190.413 1.28517
\(29\) 41.0688 232.913i 0.262975 1.49141i −0.511764 0.859126i \(-0.671008\pi\)
0.774739 0.632281i \(-0.217881\pi\)
\(30\) 10.8112 + 29.0176i 0.0657949 + 0.176595i
\(31\) −152.414 55.4740i −0.883042 0.321401i −0.139605 0.990207i \(-0.544583\pi\)
−0.743437 + 0.668806i \(0.766806\pi\)
\(32\) −164.650 + 138.158i −0.909571 + 0.763221i
\(33\) 83.0331 + 97.4460i 0.438006 + 0.514035i
\(34\) −126.458 + 46.0271i −0.637865 + 0.232164i
\(35\) 27.4374 47.5229i 0.132508 0.229510i
\(36\) −117.414 95.5277i −0.543581 0.442258i
\(37\) 93.1046 + 161.262i 0.413684 + 0.716521i 0.995289 0.0969496i \(-0.0309086\pi\)
−0.581605 + 0.813471i \(0.697575\pi\)
\(38\) −206.370 173.165i −0.880991 0.739239i
\(39\) 1.21372 + 160.191i 0.00498333 + 0.657720i
\(40\) 2.47729 + 14.0494i 0.00979234 + 0.0555351i
\(41\) −37.9265 215.092i −0.144466 0.819309i −0.967794 0.251743i \(-0.918996\pi\)
0.823328 0.567566i \(-0.192115\pi\)
\(42\) 4.93231 + 650.986i 0.0181208 + 2.39165i
\(43\) 156.989 + 131.730i 0.556759 + 0.467176i 0.877222 0.480085i \(-0.159394\pi\)
−0.320463 + 0.947261i \(0.603839\pi\)
\(44\) −69.0627 119.620i −0.236627 0.409850i
\(45\) −40.7601 + 15.5389i −0.135026 + 0.0514755i
\(46\) −123.556 + 214.005i −0.396029 + 0.685942i
\(47\) −450.185 + 163.854i −1.39715 + 0.508522i −0.927332 0.374239i \(-0.877904\pi\)
−0.469821 + 0.882762i \(0.655682\pi\)
\(48\) −260.913 306.202i −0.784574 0.920761i
\(49\) 620.985 521.068i 1.81045 1.51915i
\(50\) 424.227 + 154.406i 1.19990 + 0.436726i
\(51\) −66.1855 177.644i −0.181722 0.487747i
\(52\) 30.0125 170.209i 0.0800381 0.453919i
\(53\) 736.254 1.90816 0.954078 0.299559i \(-0.0968396\pi\)
0.954078 + 0.299559i \(0.0968396\pi\)
\(54\) 323.549 403.888i 0.815359 1.01782i
\(55\) −39.8060 −0.0975898
\(56\) −52.0803 + 295.362i −0.124277 + 0.704811i
\(57\) 241.726 292.551i 0.561708 0.679812i
\(58\) −819.775 298.374i −1.85589 0.675490i
\(59\) 39.2313 32.9190i 0.0865675 0.0726387i −0.598477 0.801140i \(-0.704227\pi\)
0.685044 + 0.728501i \(0.259783\pi\)
\(60\) 46.2851 8.52338i 0.0995896 0.0183394i
\(61\) 108.686 39.5585i 0.228128 0.0830319i −0.225427 0.974260i \(-0.572378\pi\)
0.453555 + 0.891228i \(0.350155\pi\)
\(62\) −299.141 + 518.127i −0.612756 + 1.06133i
\(63\) −916.956 + 13.8958i −1.83374 + 0.0277889i
\(64\) 86.7288 + 150.219i 0.169392 + 0.293396i
\(65\) −38.1558 32.0165i −0.0728099 0.0610947i
\(66\) 407.168 239.210i 0.759378 0.446132i
\(67\) 20.2242 + 114.697i 0.0368773 + 0.209142i 0.997679 0.0680957i \(-0.0216923\pi\)
−0.960801 + 0.277237i \(0.910581\pi\)
\(68\) 35.5163 + 201.423i 0.0633380 + 0.359207i
\(69\) −302.776 171.763i −0.528260 0.299678i
\(70\) −155.058 130.109i −0.264757 0.222157i
\(71\) 118.488 + 205.227i 0.198055 + 0.343042i 0.947898 0.318575i \(-0.103204\pi\)
−0.749843 + 0.661616i \(0.769871\pi\)
\(72\) 180.293 156.000i 0.295107 0.255343i
\(73\) −23.0477 + 39.9198i −0.0369524 + 0.0640035i −0.883910 0.467657i \(-0.845098\pi\)
0.846958 + 0.531660i \(0.178432\pi\)
\(74\) 645.437 234.920i 1.01393 0.369039i
\(75\) −212.976 + 599.234i −0.327898 + 0.922581i
\(76\) −313.648 + 263.182i −0.473393 + 0.397224i
\(77\) −786.377 286.218i −1.16384 0.423605i
\(78\) 582.689 + 98.1977i 0.845853 + 0.142547i
\(79\) −130.778 + 741.681i −0.186250 + 1.05627i 0.738090 + 0.674703i \(0.235728\pi\)
−0.924339 + 0.381572i \(0.875383\pi\)
\(80\) 125.081 0.174807
\(81\) 572.389 + 451.455i 0.785170 + 0.619280i
\(82\) −805.637 −1.08497
\(83\) −59.3213 + 336.428i −0.0784501 + 0.444913i 0.920129 + 0.391616i \(0.128084\pi\)
−0.998579 + 0.0532963i \(0.983027\pi\)
\(84\) 975.660 + 164.423i 1.26730 + 0.213572i
\(85\) 55.3883 + 20.1597i 0.0706789 + 0.0257250i
\(86\) 579.078 485.904i 0.726088 0.609260i
\(87\) 411.554 1157.96i 0.507163 1.42697i
\(88\) 204.439 74.4099i 0.247651 0.0901377i
\(89\) −455.636 + 789.185i −0.542667 + 0.939926i 0.456083 + 0.889937i \(0.349252\pi\)
−0.998750 + 0.0499890i \(0.984081\pi\)
\(90\) 30.3387 + 158.019i 0.0355331 + 0.185074i
\(91\) −523.568 906.847i −0.603131 1.04465i
\(92\) 287.702 + 241.411i 0.326033 + 0.273574i
\(93\) −733.050 415.854i −0.817352 0.463678i
\(94\) 306.862 + 1740.30i 0.336706 + 1.90955i
\(95\) 20.4896 + 116.202i 0.0221283 + 0.125496i
\(96\) −962.950 + 565.730i −1.02376 + 0.601454i
\(97\) −37.6866 31.6228i −0.0394484 0.0331011i 0.622850 0.782341i \(-0.285975\pi\)
−0.662299 + 0.749240i \(0.730419\pi\)
\(98\) −1495.08 2589.55i −1.54108 2.66923i
\(99\) 341.308 + 571.003i 0.346493 + 0.579677i
\(100\) 343.066 594.208i 0.343066 0.594208i
\(101\) 1019.98 371.243i 1.00487 0.365743i 0.213410 0.976963i \(-0.431543\pi\)
0.791461 + 0.611220i \(0.209321\pi\)
\(102\) −687.704 + 126.641i −0.667577 + 0.122934i
\(103\) −436.880 + 366.586i −0.417933 + 0.350687i −0.827376 0.561648i \(-0.810167\pi\)
0.409443 + 0.912336i \(0.365723\pi\)
\(104\) 255.813 + 93.1084i 0.241198 + 0.0877887i
\(105\) 181.623 219.810i 0.168805 0.204298i
\(106\) 471.591 2674.52i 0.432122 2.45068i
\(107\) −360.258 −0.325490 −0.162745 0.986668i \(-0.552035\pi\)
−0.162745 + 0.986668i \(0.552035\pi\)
\(108\) −519.127 590.862i −0.462528 0.526442i
\(109\) 895.448 0.786866 0.393433 0.919353i \(-0.371287\pi\)
0.393433 + 0.919353i \(0.371287\pi\)
\(110\) −25.4968 + 144.600i −0.0221002 + 0.125337i
\(111\) 337.808 + 906.686i 0.288859 + 0.775305i
\(112\) 2471.02 + 899.377i 2.08472 + 0.758778i
\(113\) −41.0845 + 34.4740i −0.0342027 + 0.0286995i −0.659729 0.751504i \(-0.729329\pi\)
0.625526 + 0.780203i \(0.284884\pi\)
\(114\) −907.891 1065.48i −0.745893 0.875365i
\(115\) 101.707 37.0182i 0.0824713 0.0300171i
\(116\) −662.941 + 1148.25i −0.530625 + 0.919069i
\(117\) −132.107 + 821.851i −0.104387 + 0.649403i
\(118\) −94.4530 163.597i −0.0736874 0.127630i
\(119\) 949.255 + 796.520i 0.731244 + 0.613587i
\(120\) 0.561635 + 74.1269i 0.000427250 + 0.0563902i
\(121\) −125.713 712.956i −0.0944504 0.535655i
\(122\) −74.0842 420.153i −0.0549776 0.311794i
\(123\) −8.59845 1134.86i −0.00630322 0.831924i
\(124\) 696.554 + 584.478i 0.504455 + 0.423288i
\(125\) −199.843 346.139i −0.142996 0.247677i
\(126\) −536.858 + 3339.85i −0.379580 + 2.36141i
\(127\) 432.376 748.897i 0.302104 0.523259i −0.674509 0.738267i \(-0.735644\pi\)
0.976612 + 0.215008i \(0.0689778\pi\)
\(128\) −1014.55 + 369.265i −0.700579 + 0.254990i
\(129\) 690.648 + 810.530i 0.471381 + 0.553203i
\(130\) −140.743 + 118.098i −0.0949539 + 0.0796757i
\(131\) −522.721 190.255i −0.348629 0.126891i 0.161770 0.986829i \(-0.448280\pi\)
−0.510398 + 0.859938i \(0.670502\pi\)
\(132\) −250.578 672.557i −0.165227 0.443474i
\(133\) −430.755 + 2442.93i −0.280836 + 1.59270i
\(134\) 429.604 0.276956
\(135\) −222.269 + 44.4230i −0.141703 + 0.0283209i
\(136\) −322.153 −0.203121
\(137\) 150.903 855.811i 0.0941057 0.533700i −0.900912 0.434002i \(-0.857101\pi\)
0.995018 0.0996981i \(-0.0317877\pi\)
\(138\) −817.882 + 989.849i −0.504513 + 0.610591i
\(139\) −871.640 317.251i −0.531882 0.193589i 0.0620966 0.998070i \(-0.480221\pi\)
−0.593978 + 0.804481i \(0.702444\pi\)
\(140\) −235.662 + 197.744i −0.142265 + 0.119374i
\(141\) −2448.19 + 450.834i −1.46223 + 0.269270i
\(142\) 821.404 298.967i 0.485427 0.176681i
\(143\) −379.795 + 657.824i −0.222098 + 0.384685i
\(144\) −1072.49 1794.25i −0.620651 1.03834i
\(145\) 191.051 + 330.910i 0.109420 + 0.189521i
\(146\) 130.250 + 109.293i 0.0738328 + 0.0619531i
\(147\) 3631.81 2133.68i 2.03773 1.19716i
\(148\) −181.273 1028.05i −0.100680 0.570983i
\(149\) −291.432 1652.79i −0.160235 0.908739i −0.953842 0.300309i \(-0.902910\pi\)
0.793607 0.608431i \(-0.208201\pi\)
\(150\) 2040.37 + 1157.48i 1.11063 + 0.630054i
\(151\) −1885.95 1582.50i −1.01640 0.852861i −0.0272292 0.999629i \(-0.508668\pi\)
−0.989171 + 0.146768i \(0.953113\pi\)
\(152\) −322.451 558.502i −0.172067 0.298030i
\(153\) −185.732 967.381i −0.0981406 0.511164i
\(154\) −1543.41 + 2673.27i −0.807609 + 1.39882i
\(155\) 246.242 89.6247i 0.127604 0.0464440i
\(156\) 300.758 846.219i 0.154358 0.434306i
\(157\) −2134.05 + 1790.68i −1.08481 + 0.910265i −0.996311 0.0858116i \(-0.972652\pi\)
−0.0884998 + 0.996076i \(0.528207\pi\)
\(158\) 2610.47 + 950.134i 1.31442 + 0.478409i
\(159\) 3772.49 + 635.760i 1.88162 + 0.317101i
\(160\) 60.2998 341.977i 0.0297945 0.168973i
\(161\) 2275.42 1.11384
\(162\) 2006.59 1790.10i 0.973165 0.868168i
\(163\) −2058.86 −0.989337 −0.494669 0.869082i \(-0.664711\pi\)
−0.494669 + 0.869082i \(0.664711\pi\)
\(164\) −212.621 + 1205.83i −0.101237 + 0.574144i
\(165\) −203.962 34.3727i −0.0962328 0.0162176i
\(166\) 1184.11 + 430.982i 0.553645 + 0.201510i
\(167\) −285.177 + 239.292i −0.132142 + 0.110880i −0.706463 0.707750i \(-0.749710\pi\)
0.574321 + 0.818630i \(0.305266\pi\)
\(168\) −521.901 + 1468.43i −0.239676 + 0.674358i
\(169\) 1171.36 426.339i 0.533162 0.194055i
\(170\) 108.710 188.291i 0.0490451 0.0849487i
\(171\) 1491.20 1290.27i 0.666870 0.577014i
\(172\) −574.445 994.968i −0.254657 0.441079i
\(173\) −1311.38 1100.38i −0.576316 0.483586i 0.307419 0.951574i \(-0.400535\pi\)
−0.883735 + 0.467988i \(0.844979\pi\)
\(174\) −3942.80 2236.72i −1.71783 0.974513i
\(175\) −721.855 4093.85i −0.311812 1.76837i
\(176\) −331.235 1878.53i −0.141862 0.804541i
\(177\) 229.443 134.797i 0.0974350 0.0572428i
\(178\) 2574.95 + 2160.64i 1.08427 + 0.909815i
\(179\) 1512.45 + 2619.64i 0.631540 + 1.09386i 0.987237 + 0.159258i \(0.0509100\pi\)
−0.355697 + 0.934601i \(0.615757\pi\)
\(180\) 244.520 3.70551i 0.101253 0.00153440i
\(181\) 33.5721 58.1486i 0.0137867 0.0238793i −0.859050 0.511892i \(-0.828945\pi\)
0.872836 + 0.488013i \(0.162278\pi\)
\(182\) −3629.58 + 1321.06i −1.47826 + 0.538041i
\(183\) 591.056 108.843i 0.238755 0.0439666i
\(184\) −453.157 + 380.244i −0.181561 + 0.152347i
\(185\) −282.699 102.894i −0.112348 0.0408915i
\(186\) −1980.17 + 2396.52i −0.780609 + 0.944739i
\(187\) 156.090 885.230i 0.0610397 0.346173i
\(188\) 2685.76 1.04191
\(189\) −4710.39 720.597i −1.81286 0.277332i
\(190\) 435.242 0.166188
\(191\) 175.616 995.967i 0.0665294 0.377307i −0.933305 0.359086i \(-0.883089\pi\)
0.999834 0.0182213i \(-0.00580035\pi\)
\(192\) 314.675 + 844.596i 0.118280 + 0.317466i
\(193\) −188.381 68.5652i −0.0702590 0.0255722i 0.306652 0.951822i \(-0.400791\pi\)
−0.376911 + 0.926250i \(0.623014\pi\)
\(194\) −139.013 + 116.645i −0.0514460 + 0.0431683i
\(195\) −167.860 196.997i −0.0616446 0.0723449i
\(196\) −4270.47 + 1554.32i −1.55629 + 0.566445i
\(197\) −1376.86 + 2384.79i −0.497954 + 0.862482i −0.999997 0.00236077i \(-0.999249\pi\)
0.502043 + 0.864843i \(0.332582\pi\)
\(198\) 2292.85 874.096i 0.822958 0.313734i
\(199\) 2395.21 + 4148.63i 0.853227 + 1.47783i 0.878280 + 0.478146i \(0.158691\pi\)
−0.0250538 + 0.999686i \(0.507976\pi\)
\(200\) 827.880 + 694.674i 0.292700 + 0.245604i
\(201\) 4.58511 + 605.161i 0.00160900 + 0.212362i
\(202\) −695.254 3942.98i −0.242168 1.37340i
\(203\) 1394.91 + 7910.94i 0.482284 + 2.73517i
\(204\) 8.05203 + 1062.74i 0.00276350 + 0.364738i
\(205\) 270.311 + 226.818i 0.0920944 + 0.0772763i
\(206\) 1051.83 + 1821.82i 0.355750 + 0.616177i
\(207\) −1403.08 1141.54i −0.471114 0.383298i
\(208\) 1193.42 2067.07i 0.397831 0.689064i
\(209\) 1690.92 615.443i 0.559632 0.203689i
\(210\) −682.151 800.559i −0.224157 0.263066i
\(211\) 751.352 630.459i 0.245143 0.205699i −0.511934 0.859024i \(-0.671071\pi\)
0.757077 + 0.653325i \(0.226627\pi\)
\(212\) −3878.61 1411.70i −1.25653 0.457339i
\(213\) 429.905 + 1153.88i 0.138294 + 0.371185i
\(214\) −230.755 + 1308.68i −0.0737107 + 0.418034i
\(215\) −331.096 −0.105026
\(216\) 1058.51 643.642i 0.333437 0.202751i
\(217\) 5509.00 1.72339
\(218\) 573.559 3252.81i 0.178194 1.01059i
\(219\) −152.565 + 184.643i −0.0470748 + 0.0569727i
\(220\) 209.699 + 76.3243i 0.0642633 + 0.0233899i
\(221\) 861.622 722.987i 0.262258 0.220060i
\(222\) 3510.01 646.368i 1.06116 0.195412i
\(223\) −437.380 + 159.193i −0.131341 + 0.0478044i −0.406855 0.913493i \(-0.633374\pi\)
0.275513 + 0.961297i \(0.411152\pi\)
\(224\) 3650.16 6322.27i 1.08878 1.88582i
\(225\) −1608.71 + 2886.51i −0.476655 + 0.855262i
\(226\) 98.9147 + 171.325i 0.0291138 + 0.0504265i
\(227\) −3603.52 3023.71i −1.05363 0.884100i −0.0601584 0.998189i \(-0.519161\pi\)
−0.993471 + 0.114089i \(0.963605\pi\)
\(228\) −1834.36 + 1077.68i −0.532822 + 0.313031i
\(229\) 272.294 + 1544.26i 0.0785752 + 0.445622i 0.998559 + 0.0536655i \(0.0170905\pi\)
−0.919984 + 0.391956i \(0.871798\pi\)
\(230\) −69.3268 393.172i −0.0198751 0.112717i
\(231\) −3782.17 2145.59i −1.07727 0.611124i
\(232\) −1599.79 1342.39i −0.452723 0.379879i
\(233\) −2879.03 4986.62i −0.809491 1.40208i −0.913217 0.407473i \(-0.866410\pi\)
0.103727 0.994606i \(-0.466923\pi\)
\(234\) 2900.84 + 1006.31i 0.810402 + 0.281131i
\(235\) 387.002 670.307i 0.107426 0.186068i
\(236\) −269.791 + 98.1959i −0.0744148 + 0.0270848i
\(237\) −1310.54 + 3687.37i −0.359193 + 1.01064i
\(238\) 3501.47 2938.08i 0.953641 0.800200i
\(239\) −3026.69 1101.62i −0.819164 0.298151i −0.101760 0.994809i \(-0.532447\pi\)
−0.717404 + 0.696658i \(0.754670\pi\)
\(240\) 640.905 + 108.009i 0.172376 + 0.0290497i
\(241\) −472.252 + 2678.27i −0.126226 + 0.715862i 0.854346 + 0.519704i \(0.173958\pi\)
−0.980572 + 0.196158i \(0.937153\pi\)
\(242\) −2670.42 −0.709342
\(243\) 2543.03 + 2807.47i 0.671339 + 0.741150i
\(244\) −648.412 −0.170124
\(245\) −227.423 + 1289.78i −0.0593043 + 0.336331i
\(246\) −4128.00 695.672i −1.06989 0.180303i
\(247\) 2115.83 + 770.098i 0.545048 + 0.198381i
\(248\) −1097.14 + 920.607i −0.280920 + 0.235720i
\(249\) −594.464 + 1672.60i −0.151296 + 0.425689i
\(250\) −1385.39 + 504.241i −0.350480 + 0.127564i
\(251\) 2711.14 4695.84i 0.681777 1.18087i −0.292661 0.956216i \(-0.594541\pi\)
0.974438 0.224656i \(-0.0721258\pi\)
\(252\) 4857.20 + 1684.98i 1.21419 + 0.421204i
\(253\) −825.290 1429.44i −0.205081 0.355211i
\(254\) −2443.50 2050.34i −0.603618 0.506496i
\(255\) 266.396 + 151.124i 0.0654210 + 0.0371128i
\(256\) 932.515 + 5288.55i 0.227665 + 1.29115i
\(257\) 183.660 + 1041.59i 0.0445774 + 0.252811i 0.998950 0.0458063i \(-0.0145857\pi\)
−0.954373 + 0.298617i \(0.903475\pi\)
\(258\) 3386.72 1989.69i 0.817240 0.480126i
\(259\) −4844.96 4065.40i −1.16236 0.975335i
\(260\) 139.617 + 241.824i 0.0333027 + 0.0576819i
\(261\) 3108.67 5577.88i 0.737248 1.32284i
\(262\) −1025.94 + 1776.98i −0.241919 + 0.419016i
\(263\) 4969.14 1808.62i 1.16506 0.424046i 0.314156 0.949371i \(-0.398278\pi\)
0.850902 + 0.525325i \(0.176056\pi\)
\(264\) 1111.78 204.734i 0.259187 0.0477292i
\(265\) −911.212 + 764.597i −0.211228 + 0.177241i
\(266\) 8598.32 + 3129.53i 1.98194 + 0.721368i
\(267\) −3016.10 + 3650.26i −0.691320 + 0.836675i
\(268\) 113.379 643.007i 0.0258424 0.146559i
\(269\) −7352.28 −1.66646 −0.833228 0.552930i \(-0.813510\pi\)
−0.833228 + 0.552930i \(0.813510\pi\)
\(270\) 19.0022 + 835.870i 0.00428311 + 0.188405i
\(271\) 3845.21 0.861917 0.430959 0.902372i \(-0.358175\pi\)
0.430959 + 0.902372i \(0.358175\pi\)
\(272\) −490.478 + 2781.64i −0.109337 + 0.620080i
\(273\) −1899.64 5098.70i −0.421142 1.13036i
\(274\) −3012.17 1096.34i −0.664131 0.241724i
\(275\) −2309.99 + 1938.31i −0.506536 + 0.425034i
\(276\) 1265.70 + 1485.40i 0.276036 + 0.323951i
\(277\) 3573.52 1300.65i 0.775133 0.282125i 0.0759911 0.997108i \(-0.475788\pi\)
0.699142 + 0.714983i \(0.253566\pi\)
\(278\) −1710.76 + 2963.12i −0.369081 + 0.639267i
\(279\) −3396.98 2763.79i −0.728932 0.593059i
\(280\) −242.276 419.635i −0.0517099 0.0895642i
\(281\) 4191.24 + 3516.87i 0.889781 + 0.746615i 0.968166 0.250308i \(-0.0805320\pi\)
−0.0783853 + 0.996923i \(0.524976\pi\)
\(282\) 69.5698 + 9182.09i 0.0146908 + 1.93896i
\(283\) 1071.49 + 6076.70i 0.225064 + 1.27640i 0.862562 + 0.505951i \(0.168858\pi\)
−0.637498 + 0.770452i \(0.720030\pi\)
\(284\) −230.694 1308.33i −0.0482014 0.273363i
\(285\) 4.64528 + 613.102i 0.000965482 + 0.127428i
\(286\) 2146.35 + 1801.00i 0.443763 + 0.372362i
\(287\) 3709.17 + 6424.47i 0.762876 + 1.32134i
\(288\) −5422.57 + 2067.23i −1.10947 + 0.422961i
\(289\) 1790.98 3102.08i 0.364540 0.631401i
\(290\) 1324.44 482.057i 0.268186 0.0976116i
\(291\) −165.796 194.575i −0.0333991 0.0391965i
\(292\) 197.959 166.107i 0.0396734 0.0332900i
\(293\) −1483.01 539.771i −0.295694 0.107624i 0.189913 0.981801i \(-0.439179\pi\)
−0.485607 + 0.874177i \(0.661402\pi\)
\(294\) −5424.54 14559.6i −1.07607 2.88821i
\(295\) −14.3677 + 81.4832i −0.00283566 + 0.0160818i
\(296\) 1644.26 0.322873
\(297\) 1255.76 + 3220.49i 0.245343 + 0.629197i
\(298\) −6190.63 −1.20340
\(299\) 358.645 2033.98i 0.0693678 0.393404i
\(300\) 2270.94 2748.42i 0.437043 0.528935i
\(301\) −6540.88 2380.69i −1.25253 0.455882i
\(302\) −6956.61 + 5837.29i −1.32552 + 1.11225i
\(303\) 5546.85 1021.45i 1.05168 0.193666i
\(304\) −5313.33 + 1933.89i −1.00243 + 0.364856i
\(305\) −93.4321 + 161.829i −0.0175407 + 0.0303813i
\(306\) −3633.08 + 55.0566i −0.678724 + 0.0102855i
\(307\) −2688.23 4656.16i −0.499758 0.865606i 0.500242 0.865886i \(-0.333244\pi\)
−1.00000 0.000279643i \(0.999911\pi\)
\(308\) 3593.87 + 3015.61i 0.664869 + 0.557891i
\(309\) −2555.08 + 1501.10i −0.470399 + 0.276358i
\(310\) −167.847 951.907i −0.0307518 0.174402i
\(311\) −1068.47 6059.59i −0.194814 1.10485i −0.912683 0.408669i \(-0.865993\pi\)
0.717868 0.696179i \(-0.245118\pi\)
\(312\) 1230.36 + 697.974i 0.223255 + 0.126651i
\(313\) 5626.07 + 4720.84i 1.01599 + 0.852516i 0.989118 0.147123i \(-0.0470014\pi\)
0.0268706 + 0.999639i \(0.491446\pi\)
\(314\) 5137.91 + 8899.13i 0.923405 + 1.59939i
\(315\) 1120.42 969.454i 0.200409 0.173405i
\(316\) 2111.05 3656.45i 0.375810 0.650922i
\(317\) −964.065 + 350.891i −0.170812 + 0.0621703i −0.426010 0.904718i \(-0.640081\pi\)
0.255199 + 0.966889i \(0.417859\pi\)
\(318\) 4725.85 13296.8i 0.833373 2.34480i
\(319\) 4463.81 3745.59i 0.783466 0.657406i
\(320\) −263.340 95.8479i −0.0460036 0.0167439i
\(321\) −1845.93 311.085i −0.320964 0.0540906i
\(322\) 1457.47 8265.70i 0.252240 1.43053i
\(323\) −2664.53 −0.459004
\(324\) −2149.74 3475.79i −0.368611 0.595985i
\(325\) −3773.23 −0.644004
\(326\) −1318.75 + 7479.02i −0.224046 + 1.27063i
\(327\) 4588.19 + 773.225i 0.775925 + 0.130763i
\(328\) −1812.28 659.618i −0.305081 0.111041i
\(329\) 12465.0 10459.4i 2.08882 1.75272i
\(330\) −255.506 + 718.897i −0.0426216 + 0.119921i
\(331\) 5414.80 1970.83i 0.899167 0.327270i 0.149248 0.988800i \(-0.452315\pi\)
0.749919 + 0.661530i \(0.230092\pi\)
\(332\) 957.576 1658.57i 0.158295 0.274174i
\(333\) 947.966 + 4937.47i 0.156001 + 0.812528i
\(334\) 686.591 + 1189.21i 0.112481 + 0.194822i
\(335\) −144.143 120.950i −0.0235085 0.0197260i
\(336\) 11884.6 + 6742.06i 1.92964 + 1.09467i
\(337\) 557.882 + 3163.91i 0.0901774 + 0.511422i 0.996119 + 0.0880185i \(0.0280535\pi\)
−0.905941 + 0.423403i \(0.860835\pi\)
\(338\) −798.438 4528.17i −0.128489 0.728698i
\(339\) −240.281 + 141.164i −0.0384964 + 0.0226165i
\(340\) −253.133 212.404i −0.0403767 0.0338801i
\(341\) −1998.11 3460.82i −0.317312 0.549601i
\(342\) −3731.89 6243.40i −0.590051 0.987147i
\(343\) −7941.72 + 13755.5i −1.25018 + 2.16538i
\(344\) 1700.47 618.922i 0.266522 0.0970059i
\(345\) 553.101 101.853i 0.0863129 0.0158945i
\(346\) −4837.23 + 4058.92i −0.751593 + 0.630661i
\(347\) 3383.81 + 1231.60i 0.523494 + 0.190536i 0.590231 0.807235i \(-0.299037\pi\)
−0.0667373 + 0.997771i \(0.521259\pi\)
\(348\) −4388.36 + 5311.05i −0.675979 + 0.818110i
\(349\) −321.225 + 1821.76i −0.0492686 + 0.279416i −0.999482 0.0321837i \(-0.989754\pi\)
0.950213 + 0.311600i \(0.100865\pi\)
\(350\) −15333.7 −2.34177
\(351\) −1386.58 + 4097.01i −0.210855 + 0.623026i
\(352\) −5295.63 −0.801870
\(353\) 540.224 3063.76i 0.0814538 0.461948i −0.916612 0.399778i \(-0.869087\pi\)
0.998066 0.0621691i \(-0.0198018\pi\)
\(354\) −342.701 919.818i −0.0514529 0.138101i
\(355\) −359.772 130.946i −0.0537879 0.0195772i
\(356\) 3913.50 3283.81i 0.582626 0.488881i
\(357\) 4176.09 + 4900.98i 0.619110 + 0.726575i
\(358\) 10484.9 3816.18i 1.54788 0.563384i
\(359\) 3228.43 5591.80i 0.474624 0.822072i −0.524954 0.851131i \(-0.675918\pi\)
0.999578 + 0.0290584i \(0.00925087\pi\)
\(360\) −61.1312 + 380.304i −0.00894972 + 0.0556771i
\(361\) 762.511 + 1320.71i 0.111169 + 0.192551i
\(362\) −189.727 159.200i −0.0275465 0.0231143i
\(363\) −28.5010 3761.67i −0.00412097 0.543902i
\(364\) 1019.38 + 5781.20i 0.146786 + 0.832464i
\(365\) −12.9320 73.3410i −0.00185450 0.0105174i
\(366\) −16.7959 2216.79i −0.00239873 0.316594i
\(367\) −3998.61 3355.23i −0.568735 0.477226i 0.312491 0.949921i \(-0.398837\pi\)
−0.881226 + 0.472695i \(0.843281\pi\)
\(368\) 2593.29 + 4491.71i 0.367350 + 0.636268i
\(369\) 935.899 5822.32i 0.132035 0.821404i
\(370\) −554.851 + 961.030i −0.0779603 + 0.135031i
\(371\) −23498.9 + 8552.91i −3.28842 + 1.19689i
\(372\) 3064.37 + 3596.29i 0.427098 + 0.501233i
\(373\) 4441.26 3726.66i 0.616515 0.517317i −0.280191 0.959944i \(-0.590398\pi\)
0.896706 + 0.442627i \(0.145953\pi\)
\(374\) −3115.72 1134.03i −0.430775 0.156789i
\(375\) −725.084 1946.15i −0.0998485 0.267996i
\(376\) −734.588 + 4166.06i −0.100754 + 0.571404i
\(377\) 7291.39 0.996089
\(378\) −5634.78 + 16649.5i −0.766725 + 2.26549i
\(379\) −12786.6 −1.73299 −0.866495 0.499185i \(-0.833633\pi\)
−0.866495 + 0.499185i \(0.833633\pi\)
\(380\) 114.867 651.445i 0.0155068 0.0879432i
\(381\) 2862.13 3463.91i 0.384859 0.465779i
\(382\) −3505.47 1275.89i −0.469517 0.170890i
\(383\) 2864.04 2403.21i 0.382103 0.320623i −0.431424 0.902149i \(-0.641989\pi\)
0.813527 + 0.581527i \(0.197544\pi\)
\(384\) −5517.30 + 1016.01i −0.733212 + 0.135021i
\(385\) 1270.48 462.418i 0.168181 0.0612130i
\(386\) −369.734 + 640.398i −0.0487538 + 0.0844441i
\(387\) 2838.91 + 4749.46i 0.372894 + 0.623846i
\(388\) 137.900 + 238.851i 0.0180434 + 0.0312521i
\(389\) 4350.72 + 3650.69i 0.567070 + 0.475828i 0.880672 0.473726i \(-0.157091\pi\)
−0.313602 + 0.949554i \(0.601536\pi\)
\(390\) −823.133 + 483.588i −0.106874 + 0.0627883i
\(391\) 424.415 + 2406.98i 0.0548941 + 0.311320i
\(392\) −1242.98 7049.31i −0.160154 0.908276i
\(393\) −2514.09 1426.22i −0.322694 0.183062i
\(394\) 7781.08 + 6529.10i 0.994937 + 0.834851i
\(395\) −608.378 1053.74i −0.0774958 0.134227i
\(396\) −703.177 3662.49i −0.0892323 0.464766i
\(397\) 3935.17 6815.91i 0.497482 0.861664i −0.502514 0.864569i \(-0.667591\pi\)
0.999996 + 0.00290500i \(0.000924692\pi\)
\(398\) 16604.5 6043.56i 2.09123 0.761147i
\(399\) −4316.64 + 12145.4i −0.541609 + 1.52389i
\(400\) 7258.62 6090.71i 0.907328 0.761339i
\(401\) −11786.5 4289.92i −1.46780 0.534236i −0.520298 0.853985i \(-0.674179\pi\)
−0.947502 + 0.319749i \(0.896401\pi\)
\(402\) 2201.25 + 370.966i 0.273105 + 0.0460251i
\(403\) 868.314 4924.46i 0.107330 0.608696i
\(404\) −6085.12 −0.749371
\(405\) −1177.24 + 35.6886i −0.144439 + 0.00437872i
\(406\) 29630.8 3.62205
\(407\) −796.676 + 4518.17i −0.0970265 + 0.550264i
\(408\) −1650.68 278.181i −0.200296 0.0337550i
\(409\) 7535.89 + 2742.84i 0.911065 + 0.331601i 0.754678 0.656095i \(-0.227793\pi\)
0.156387 + 0.987696i \(0.450015\pi\)
\(410\) 997.083 836.652i 0.120103 0.100779i
\(411\) 1512.21 4254.78i 0.181488 0.510640i
\(412\) 3004.39 1093.51i 0.359262 0.130761i
\(413\) −869.728 + 1506.41i −0.103624 + 0.179481i
\(414\) −5045.49 + 4365.64i −0.598967 + 0.518260i
\(415\) −275.961 477.979i −0.0326419 0.0565375i
\(416\) −5076.10 4259.35i −0.598260 0.502000i
\(417\) −4192.25 2378.23i −0.492315 0.279286i
\(418\) −1152.59 6536.64i −0.134868 0.764875i
\(419\) 2688.55 + 15247.5i 0.313471 + 1.77778i 0.580670 + 0.814139i \(0.302791\pi\)
−0.267199 + 0.963641i \(0.586098\pi\)
\(420\) −1378.26 + 809.724i −0.160124 + 0.0940726i
\(421\) −2941.20 2467.96i −0.340488 0.285703i 0.456469 0.889739i \(-0.349114\pi\)
−0.796957 + 0.604036i \(0.793558\pi\)
\(422\) −1808.95 3133.19i −0.208669 0.361425i
\(423\) −12933.6 + 195.998i −1.48665 + 0.0225290i
\(424\) 3250.62 5630.24i 0.372321 0.644878i
\(425\) 4195.90 1527.18i 0.478897 0.174304i
\(426\) 4466.95 822.588i 0.508039 0.0935552i
\(427\) −3009.38 + 2525.17i −0.341063 + 0.286186i
\(428\) 1897.85 + 690.762i 0.214337 + 0.0780122i
\(429\) −2514.07 + 3042.67i −0.282938 + 0.342428i
\(430\) −212.076 + 1202.74i −0.0237842 + 0.134887i
\(431\) −4322.86 −0.483121 −0.241560 0.970386i \(-0.577659\pi\)
−0.241560 + 0.970386i \(0.577659\pi\)
\(432\) −3945.96 10119.7i −0.439468 1.12704i
\(433\) −8167.34 −0.906460 −0.453230 0.891394i \(-0.649728\pi\)
−0.453230 + 0.891394i \(0.649728\pi\)
\(434\) 3528.66 20012.1i 0.390280 2.21339i
\(435\) 693.184 + 1860.52i 0.0764037 + 0.205070i
\(436\) −4717.25 1716.94i −0.518155 0.188593i
\(437\) −3748.05 + 3144.99i −0.410283 + 0.344268i
\(438\) 573.014 + 672.478i 0.0625107 + 0.0733613i
\(439\) −6964.64 + 2534.92i −0.757185 + 0.275593i −0.691626 0.722256i \(-0.743105\pi\)
−0.0655591 + 0.997849i \(0.520883\pi\)
\(440\) −175.747 + 304.402i −0.0190418 + 0.0329813i
\(441\) 20451.5 7796.66i 2.20834 0.841881i
\(442\) −2074.44 3593.03i −0.223237 0.386658i
\(443\) 5428.84 + 4555.34i 0.582239 + 0.488556i 0.885682 0.464293i \(-0.153692\pi\)
−0.303443 + 0.952850i \(0.598136\pi\)
\(444\) −41.0972 5424.17i −0.00439276 0.579774i
\(445\) −255.656 1449.90i −0.0272343 0.154453i
\(446\) 298.134 + 1690.80i 0.0316525 + 0.179510i
\(447\) −66.0717 8720.41i −0.00699124 0.922732i
\(448\) −4513.17 3787.00i −0.475954 0.399373i
\(449\) 5632.70 + 9756.13i 0.592035 + 1.02543i 0.993958 + 0.109761i \(0.0350085\pi\)
−0.401923 + 0.915673i \(0.631658\pi\)
\(450\) 9455.14 + 7692.70i 0.990488 + 0.805861i
\(451\) 2690.62 4660.29i 0.280923 0.486573i
\(452\) 282.535 102.834i 0.0294012 0.0107012i
\(453\) −8296.92 9737.10i −0.860537 1.00991i
\(454\) −13292.1 + 11153.4i −1.37407 + 1.15298i
\(455\) 1589.74 + 578.619i 0.163799 + 0.0596178i
\(456\) −1169.94 3140.15i −0.120148 0.322480i
\(457\) 349.551 1982.40i 0.0357797 0.202917i −0.961678 0.274182i \(-0.911593\pi\)
0.997457 + 0.0712659i \(0.0227039\pi\)
\(458\) 5784.10 0.590116
\(459\) −116.331 5117.14i −0.0118297 0.520366i
\(460\) −606.774 −0.0615021
\(461\) −2310.16 + 13101.6i −0.233395 + 1.32365i 0.612574 + 0.790414i \(0.290134\pi\)
−0.845968 + 0.533233i \(0.820977\pi\)
\(462\) −10216.7 + 12364.8i −1.02884 + 1.24516i
\(463\) 16771.8 + 6104.42i 1.68348 + 0.612735i 0.993780 0.111363i \(-0.0355217\pi\)
0.689697 + 0.724098i \(0.257744\pi\)
\(464\) −14026.6 + 11769.7i −1.40338 + 1.17757i
\(465\) 1339.11 246.597i 0.133548 0.0245928i
\(466\) −19958.5 + 7264.31i −1.98404 + 0.722131i
\(467\) 5090.74 8817.42i 0.504435 0.873708i −0.495551 0.868579i \(-0.665034\pi\)
0.999987 0.00512926i \(-0.00163270\pi\)
\(468\) 2271.77 4076.24i 0.224386 0.402616i
\(469\) −1977.91 3425.84i −0.194736 0.337293i
\(470\) −2187.08 1835.18i −0.214643 0.180107i
\(471\) −12480.9 + 7332.49i −1.22100 + 0.717332i
\(472\) −78.5267 445.347i −0.00765781 0.0434296i
\(473\) 876.792 + 4972.53i 0.0852324 + 0.483377i
\(474\) 12555.3 + 7122.55i 1.21664 + 0.690189i
\(475\) 6847.38 + 5745.64i 0.661431 + 0.555006i
\(476\) −3473.46 6016.20i −0.334466 0.579311i
\(477\) 18780.9 + 6515.14i 1.80276 + 0.625383i
\(478\) −5940.44 + 10289.2i −0.568430 + 0.984550i
\(479\) 2896.89 1054.38i 0.276330 0.100576i −0.200138 0.979768i \(-0.564139\pi\)
0.476468 + 0.879192i \(0.341917\pi\)
\(480\) 604.269 1700.19i 0.0574604 0.161672i
\(481\) −4397.68 + 3690.09i −0.416875 + 0.349800i
\(482\) 9426.63 + 3431.01i 0.890812 + 0.324229i
\(483\) 11659.0 + 1964.84i 1.09835 + 0.185100i
\(484\) −704.766 + 3996.92i −0.0661876 + 0.375369i
\(485\) 79.4823 0.00744146
\(486\) 11827.3 7439.57i 1.10391 0.694374i
\(487\) 1482.64 0.137956 0.0689782 0.997618i \(-0.478026\pi\)
0.0689782 + 0.997618i \(0.478026\pi\)
\(488\) 177.348 1005.79i 0.0164512 0.0932993i
\(489\) −10549.4 1777.83i −0.975581 0.164410i
\(490\) 4539.60 + 1652.28i 0.418527 + 0.152331i
\(491\) 6066.55 5090.44i 0.557596 0.467878i −0.319908 0.947449i \(-0.603652\pi\)
0.877503 + 0.479570i \(0.159207\pi\)
\(492\) −2130.69 + 5994.96i −0.195242 + 0.549337i
\(493\) −8108.15 + 2951.13i −0.740716 + 0.269598i
\(494\) 4152.71 7192.70i 0.378217 0.655091i
\(495\) −1015.40 352.245i −0.0921996 0.0319843i
\(496\) 6278.61 + 10874.9i 0.568383 + 0.984468i
\(497\) −6165.84 5173.76i −0.556491 0.466951i
\(498\) 5695.13 + 3230.80i 0.512459 + 0.290714i
\(499\) −1417.01 8036.24i −0.127122 0.720945i −0.980025 0.198875i \(-0.936271\pi\)
0.852903 0.522070i \(-0.174840\pi\)
\(500\) 389.092 + 2206.65i 0.0348015 + 0.197369i
\(501\) −1667.85 + 979.856i −0.148731 + 0.0873788i
\(502\) −15321.6 12856.3i −1.36222 1.14304i
\(503\) −8812.36 15263.5i −0.781161 1.35301i −0.931266 0.364340i \(-0.881295\pi\)
0.150105 0.988670i \(-0.452039\pi\)
\(504\) −3942.17 + 7073.45i −0.348409 + 0.625151i
\(505\) −876.827 + 1518.71i −0.0772640 + 0.133825i
\(506\) −5721.23 + 2082.36i −0.502648 + 0.182949i
\(507\) 6370.07 1173.05i 0.557997 0.102755i
\(508\) −3713.71 + 3116.18i −0.324349 + 0.272161i
\(509\) 8361.44 + 3043.31i 0.728122 + 0.265015i 0.679370 0.733796i \(-0.262253\pi\)
0.0487523 + 0.998811i \(0.484476\pi\)
\(510\) 719.610 870.914i 0.0624801 0.0756171i
\(511\) 271.871 1541.86i 0.0235359 0.133479i
\(512\) 11171.3 0.964269
\(513\) 8754.91 5323.55i 0.753487 0.458169i
\(514\) 3901.32 0.334786
\(515\) 159.999 907.397i 0.0136901 0.0776402i
\(516\) −2084.24 5594.16i −0.177817 0.477265i
\(517\) −11091.8 4037.08i −0.943551 0.343425i
\(518\) −17871.3 + 14995.8i −1.51587 + 1.27197i
\(519\) −5769.21 6770.63i −0.487939 0.572635i
\(520\) −413.296 + 150.427i −0.0348542 + 0.0126859i
\(521\) −9964.97 + 17259.8i −0.837953 + 1.45138i 0.0536508 + 0.998560i \(0.482914\pi\)
−0.891604 + 0.452817i \(0.850419\pi\)
\(522\) −18271.1 14865.4i −1.53200 1.24643i
\(523\) 894.732 + 1549.72i 0.0748067 + 0.129569i 0.901002 0.433815i \(-0.142833\pi\)
−0.826195 + 0.563384i \(0.809499\pi\)
\(524\) 2388.92 + 2004.54i 0.199161 + 0.167116i
\(525\) −163.655 21599.8i −0.0136047 1.79560i
\(526\) −3387.14 19209.4i −0.280772 1.59234i
\(527\) 1027.55 + 5827.52i 0.0849350 + 0.481690i
\(528\) −75.0955 9911.40i −0.00618960 0.816929i
\(529\) −5882.46 4935.97i −0.483477 0.405685i
\(530\) 2193.83 + 3799.82i 0.179800 + 0.311422i
\(531\) 1292.04 492.561i 0.105593 0.0402549i
\(532\) 6953.34 12043.5i 0.566664 0.981491i
\(533\) 6327.42 2302.99i 0.514204 0.187155i
\(534\) 11328.1 + 13294.4i 0.918003 + 1.07735i
\(535\) 445.867 374.127i 0.0360309 0.0302335i
\(536\) 966.397 + 351.740i 0.0778768 + 0.0283448i
\(537\) 5487.56 + 14728.8i 0.440979 + 1.18360i
\(538\) −4709.34 + 26708.0i −0.377386 + 2.14027i
\(539\) 19972.7 1.59608
\(540\) 1256.10 + 192.158i 0.100100 + 0.0153133i
\(541\) 9074.21 0.721129 0.360564 0.932734i \(-0.382584\pi\)
0.360564 + 0.932734i \(0.382584\pi\)
\(542\) 2462.96 13968.1i 0.195190 1.10698i
\(543\) 222.232 268.958i 0.0175633 0.0212561i
\(544\) 7368.65 + 2681.97i 0.580750 + 0.211376i
\(545\) −1108.24 + 929.921i −0.0871039 + 0.0730888i
\(546\) −19738.4 + 3634.81i −1.54711 + 0.284900i
\(547\) 7530.92 2741.03i 0.588664 0.214256i −0.0304779 0.999535i \(-0.509703\pi\)
0.619142 + 0.785279i \(0.287481\pi\)
\(548\) −2435.90 + 4219.10i −0.189884 + 0.328889i
\(549\) 3122.50 47.3190i 0.242741 0.00367856i
\(550\) 5561.51 + 9632.82i 0.431170 + 0.746809i
\(551\) −13231.9 11102.9i −1.02304 0.858435i
\(552\) −2650.27 + 1557.03i −0.204353 + 0.120057i
\(553\) −4441.92 25191.4i −0.341573 1.93715i
\(554\) −2435.83 13814.3i −0.186802 1.05941i
\(555\) −1359.67 771.332i −0.103991 0.0589932i
\(556\) 3983.53 + 3342.58i 0.303848 + 0.254959i
\(557\) 3679.68 + 6373.39i 0.279915 + 0.484828i 0.971363 0.237598i \(-0.0763602\pi\)
−0.691448 + 0.722426i \(0.743027\pi\)
\(558\) −12215.6 + 10569.6i −0.926753 + 0.801879i
\(559\) −3159.03 + 5471.61i −0.239021 + 0.413997i
\(560\) −3992.21 + 1453.05i −0.301253 + 0.109647i
\(561\) 1564.19 4401.05i 0.117719 0.331216i
\(562\) 15460.0 12972.5i 1.16039 0.973686i
\(563\) −1774.18 645.750i −0.132812 0.0483395i 0.274759 0.961513i \(-0.411402\pi\)
−0.407571 + 0.913174i \(0.633624\pi\)
\(564\) 13761.6 + 2319.17i 1.02742 + 0.173147i
\(565\) 15.0464 85.3322i 0.00112036 0.00635390i
\(566\) 22760.6 1.69028
\(567\) −23513.3 7759.72i −1.74157 0.574740i
\(568\) 2092.53 0.154579
\(569\) −4311.69 + 24452.8i −0.317672 + 1.80161i 0.239156 + 0.970981i \(0.423129\pi\)
−0.556829 + 0.830627i \(0.687982\pi\)
\(570\) 2230.14 + 375.834i 0.163877 + 0.0276175i
\(571\) 13261.5 + 4826.79i 0.971939 + 0.353757i 0.778701 0.627395i \(-0.215879\pi\)
0.193238 + 0.981152i \(0.438101\pi\)
\(572\) 3262.09 2737.22i 0.238453 0.200085i
\(573\) 1759.86 4951.59i 0.128306 0.361005i
\(574\) 25713.4 9358.92i 1.86979 0.680547i
\(575\) 4099.60 7100.71i 0.297330 0.514992i
\(576\) 883.049 + 4599.35i 0.0638780 + 0.332708i
\(577\) −4690.34 8123.90i −0.338408 0.586140i 0.645726 0.763570i \(-0.276555\pi\)
−0.984133 + 0.177430i \(0.943222\pi\)
\(578\) −10121.5 8492.91i −0.728368 0.611174i
\(579\) −906.041 513.990i −0.0650324 0.0368924i
\(580\) −371.974 2109.57i −0.0266300 0.151026i
\(581\) −2014.86 11426.9i −0.143874 0.815948i
\(582\) −813.011 + 477.641i −0.0579044 + 0.0340187i
\(583\) 13896.1 + 11660.2i 0.987164 + 0.828329i
\(584\) 203.515 + 352.498i 0.0144204 + 0.0249768i
\(585\) −689.990 1154.34i −0.0487651 0.0815832i
\(586\) −2910.69 + 5041.46i −0.205187 + 0.355394i
\(587\) −3439.46 + 1251.86i −0.241843 + 0.0880236i −0.460098 0.887868i \(-0.652186\pi\)
0.218255 + 0.975892i \(0.429963\pi\)
\(588\) −23223.6 + 4276.62i −1.62879 + 0.299940i
\(589\) −9074.39 + 7614.32i −0.634811 + 0.532670i
\(590\) 286.794 + 104.384i 0.0200120 + 0.00728379i
\(591\) −9114.15 + 11030.5i −0.634359 + 0.767738i
\(592\) 2503.38 14197.4i 0.173798 0.985656i
\(593\) −21034.0 −1.45660 −0.728299 0.685260i \(-0.759689\pi\)
−0.728299 + 0.685260i \(0.759689\pi\)
\(594\) 12503.1 2498.89i 0.863652 0.172611i
\(595\) −2002.01 −0.137940
\(596\) −1633.81 + 9265.77i −0.112287 + 0.636814i
\(597\) 8690.46 + 23325.4i 0.595774 + 1.59907i
\(598\) −7158.92 2605.63i −0.489549 0.178181i
\(599\) 13783.5 11565.7i 0.940199 0.788921i −0.0374208 0.999300i \(-0.511914\pi\)
0.977620 + 0.210379i \(0.0674698\pi\)
\(600\) 3642.12 + 4274.32i 0.247815 + 0.290831i
\(601\) −18472.2 + 6723.33i −1.25374 + 0.456324i −0.881663 0.471879i \(-0.843576\pi\)
−0.372075 + 0.928203i \(0.621354\pi\)
\(602\) −12837.7 + 22235.6i −0.869147 + 1.50541i
\(603\) −499.066 + 3104.74i −0.0337041 + 0.209676i
\(604\) 6900.95 + 11952.8i 0.464894 + 0.805220i
\(605\) 895.990 + 751.825i 0.0602102 + 0.0505224i
\(606\) −157.624 20803.8i −0.0105661 1.39455i
\(607\) 3505.49 + 19880.6i 0.234404 + 1.32937i 0.843865 + 0.536555i \(0.180275\pi\)
−0.609461 + 0.792816i \(0.708614\pi\)
\(608\) 2725.86 + 15459.1i 0.181823 + 1.03117i
\(609\) 316.246 + 41739.4i 0.0210426 + 2.77728i
\(610\) 528.016 + 443.058i 0.0350471 + 0.0294080i
\(611\) −7384.88 12791.0i −0.488970 0.846920i
\(612\) −876.424 + 5452.32i −0.0578878 + 0.360126i
\(613\) −2360.70 + 4088.85i −0.155543 + 0.269408i −0.933257 0.359210i \(-0.883046\pi\)
0.777714 + 0.628619i \(0.216379\pi\)
\(614\) −18635.9 + 6782.91i −1.22489 + 0.445824i
\(615\) 1189.19 + 1395.61i 0.0779719 + 0.0915062i
\(616\) −5660.67 + 4749.86i −0.370251 + 0.310678i
\(617\) −25172.0 9161.84i −1.64244 0.597799i −0.654976 0.755650i \(-0.727321\pi\)
−0.987463 + 0.157851i \(0.949543\pi\)
\(618\) 3816.32 + 10243.1i 0.248406 + 0.666728i
\(619\) 4631.21 26264.9i 0.300717 1.70545i −0.342293 0.939593i \(-0.611203\pi\)
0.643010 0.765858i \(-0.277686\pi\)
\(620\) −1469.06 −0.0951593
\(621\) −6203.50 7060.72i −0.400866 0.456259i
\(622\) −22696.5 −1.46310
\(623\) 5374.69 30481.4i 0.345638 1.96021i
\(624\) 7899.90 9560.92i 0.506809 0.613370i
\(625\) −13769.3 5011.62i −0.881235 0.320743i
\(626\) 20752.6 17413.5i 1.32499 1.11179i
\(627\) 9195.52 1693.35i 0.585700 0.107856i
\(628\) 14675.7 5341.51i 0.932522 0.339410i
\(629\) 3396.76 5883.37i 0.215323 0.372950i
\(630\) −2803.99 4691.03i −0.177323 0.296659i
\(631\) 8435.45 + 14610.6i 0.532187 + 0.921775i 0.999294 + 0.0375740i \(0.0119630\pi\)
−0.467107 + 0.884201i \(0.654704\pi\)
\(632\) 5094.34 + 4274.66i 0.320636 + 0.269046i
\(633\) 4394.26 2581.61i 0.275918 0.162101i
\(634\) 657.140 + 3726.83i 0.0411646 + 0.233456i
\(635\) 242.605 + 1375.88i 0.0151614 + 0.0859845i
\(636\) −18654.6 10582.6i −1.16306 0.659792i
\(637\) 19144.7 + 16064.3i 1.19080 + 0.999203i
\(638\) −10747.1 18614.4i −0.666897 1.15510i
\(639\) 1206.41 + 6283.58i 0.0746868 + 0.389005i
\(640\) 872.156 1510.62i 0.0538671 0.0933006i
\(641\) 13203.2 4805.57i 0.813564 0.296113i 0.0984690 0.995140i \(-0.468605\pi\)
0.715095 + 0.699027i \(0.246383\pi\)
\(642\) −2312.42 + 6506.27i −0.142155 + 0.399972i
\(643\) 3488.66 2927.33i 0.213965 0.179538i −0.529506 0.848306i \(-0.677623\pi\)
0.743471 + 0.668768i \(0.233178\pi\)
\(644\) −11987.0 4362.90i −0.733467 0.266960i
\(645\) −1696.50 285.903i −0.103565 0.0174534i
\(646\) −1706.70 + 9679.18i −0.103946 + 0.589508i
\(647\) 23937.2 1.45451 0.727257 0.686366i \(-0.240795\pi\)
0.727257 + 0.686366i \(0.240795\pi\)
\(648\) 5979.48 2383.93i 0.362494 0.144521i
\(649\) 1261.80 0.0763171
\(650\) −2416.86 + 13706.7i −0.145842 + 0.827108i
\(651\) 28227.6 + 4757.06i 1.69943 + 0.286396i
\(652\) 10846.1 + 3947.67i 0.651483 + 0.237120i
\(653\) 9215.63 7732.83i 0.552275 0.463414i −0.323436 0.946250i \(-0.604838\pi\)
0.875711 + 0.482836i \(0.160393\pi\)
\(654\) 5747.68 16171.8i 0.343658 0.966924i
\(655\) 844.516 307.379i 0.0503786 0.0183363i
\(656\) −8454.68 + 14643.9i −0.503201 + 0.871570i
\(657\) −941.168 + 814.352i −0.0558881 + 0.0483575i
\(658\) −30010.8 51980.2i −1.77803 3.07963i
\(659\) −2768.22 2322.81i −0.163633 0.137305i 0.557294 0.830315i \(-0.311840\pi\)
−0.720928 + 0.693010i \(0.756284\pi\)
\(660\) 1008.57 + 572.155i 0.0594827 + 0.0337441i
\(661\) 3903.14 + 22135.8i 0.229674 + 1.30254i 0.853546 + 0.521018i \(0.174448\pi\)
−0.623872 + 0.781527i \(0.714441\pi\)
\(662\) −3690.91 20932.2i −0.216694 1.22893i
\(663\) 5039.17 2960.50i 0.295181 0.173418i
\(664\) 2310.80 + 1938.99i 0.135055 + 0.113325i
\(665\) −2003.86 3470.79i −0.116852 0.202393i
\(666\) 18543.1 281.006i 1.07887 0.0163495i
\(667\) −7922.05 + 13721.4i −0.459885 + 0.796544i
\(668\) 1961.14 713.798i 0.113591 0.0413438i
\(669\) −2378.56 + 438.011i −0.137459 + 0.0253131i
\(670\) −531.692 + 446.143i −0.0306583 + 0.0257254i
\(671\) 2677.84 + 974.654i 0.154064 + 0.0560747i
\(672\) 24162.4 29242.7i 1.38703 1.67867i
\(673\) 816.402 4630.05i 0.0467608 0.265193i −0.952460 0.304664i \(-0.901456\pi\)
0.999221 + 0.0394703i \(0.0125670\pi\)
\(674\) 11850.6 0.677251
\(675\) −10735.4 + 13401.1i −0.612156 + 0.764158i
\(676\) −6988.22 −0.397600
\(677\) 1514.97 8591.82i 0.0860045 0.487756i −0.911131 0.412117i \(-0.864789\pi\)
0.997135 0.0756384i \(-0.0240995\pi\)
\(678\) 358.889 + 963.268i 0.0203290 + 0.0545635i
\(679\) 1570.19 + 571.504i 0.0887460 + 0.0323009i
\(680\) 398.708 334.555i 0.0224849 0.0188671i
\(681\) −15853.1 18604.8i −0.892057 1.04690i
\(682\) −13851.7 + 5041.59i −0.777723 + 0.283068i
\(683\) −12790.4 + 22153.6i −0.716559 + 1.24112i 0.245796 + 0.969322i \(0.420951\pi\)
−0.962355 + 0.271795i \(0.912383\pi\)
\(684\) −10329.7 + 3937.95i −0.577434 + 0.220133i
\(685\) 701.995 + 1215.89i 0.0391560 + 0.0678202i
\(686\) 44881.3 + 37659.9i 2.49793 + 2.09601i
\(687\) 61.7329 + 8147.75i 0.00342832 + 0.452483i
\(688\) −2755.12 15625.1i −0.152672 0.865844i
\(689\) 3941.54 + 22353.6i 0.217940 + 1.23600i
\(690\) −15.7173 2074.44i −0.000867173 0.114453i
\(691\) −25192.3 21138.8i −1.38692 1.16376i −0.966571 0.256398i \(-0.917464\pi\)
−0.420346 0.907364i \(-0.638091\pi\)
\(692\) 4798.53 + 8311.30i 0.263602 + 0.456573i
\(693\) −17526.7 14259.7i −0.960729 0.781649i
\(694\) 6641.36 11503.2i 0.363260 0.629185i
\(695\) 1408.24 512.556i 0.0768596 0.0279746i
\(696\) −7038.03 8259.69i −0.383299 0.449831i
\(697\) −6104.08 + 5121.93i −0.331720 + 0.278346i
\(698\) 6411.97 + 2333.77i 0.347703 + 0.126554i
\(699\) −10445.9 28037.0i −0.565235 1.51711i
\(700\) −4046.81 + 22950.6i −0.218507 + 1.23922i
\(701\) −27261.0 −1.46881 −0.734404 0.678713i \(-0.762538\pi\)
−0.734404 + 0.678713i \(0.762538\pi\)
\(702\) 13994.7 + 7661.13i 0.752415 + 0.411896i
\(703\) 13599.6 0.729615
\(704\) −742.120 + 4208.77i −0.0397297 + 0.225318i
\(705\) 2561.77 3100.41i 0.136854 0.165628i
\(706\) −10783.4 3924.84i −0.574843 0.209226i
\(707\) −28242.0 + 23697.8i −1.50233 + 1.26061i
\(708\) −1467.17 + 270.180i −0.0778811 + 0.0143418i
\(709\) 15803.5 5752.02i 0.837115 0.304685i 0.112339 0.993670i \(-0.464166\pi\)
0.724776 + 0.688985i \(0.241943\pi\)
\(710\) −706.120 + 1223.04i −0.0373243 + 0.0646475i
\(711\) −9899.16 + 17762.1i −0.522148 + 0.936891i
\(712\) 4023.34 + 6968.63i 0.211771 + 0.366798i
\(713\) 8323.73 + 6984.44i 0.437204 + 0.366857i
\(714\) 20478.2 12030.9i 1.07336 0.630595i
\(715\) −213.102 1208.56i −0.0111462 0.0632134i
\(716\) −2944.72 16700.3i −0.153700 0.871676i
\(717\) −14557.2 8258.17i −0.758226 0.430135i
\(718\) −18244.9 15309.3i −0.948321 0.795736i
\(719\) −8119.01 14062.5i −0.421124 0.729408i 0.574926 0.818206i \(-0.305031\pi\)
−0.996050 + 0.0887976i \(0.971698\pi\)
\(720\) 3190.67 + 1106.85i 0.165152 + 0.0572915i
\(721\) 9685.30 16775.4i 0.500277 0.866504i
\(722\) 5286.03 1923.96i 0.272473 0.0991721i
\(723\) −4732.48 + 13315.4i −0.243434 + 0.684932i
\(724\) −288.353 + 241.957i −0.0148019 + 0.0124203i
\(725\) 27200.2 + 9900.08i 1.39337 + 0.507144i
\(726\) −13682.9 2305.92i −0.699479 0.117880i
\(727\) 946.455 5367.62i 0.0482835 0.273829i −0.951102 0.308876i \(-0.900047\pi\)
0.999386 + 0.0350472i \(0.0111582\pi\)
\(728\) −9246.38 −0.470733
\(729\) 10606.0 + 16581.1i 0.538839 + 0.842409i
\(730\) −274.702 −0.0139277
\(731\) 1298.32 7363.11i 0.0656907 0.372551i
\(732\) −3322.40 559.908i −0.167759 0.0282716i
\(733\) −9511.13 3461.77i −0.479266 0.174438i 0.0910795 0.995844i \(-0.470968\pi\)
−0.570345 + 0.821405i \(0.693190\pi\)
\(734\) −14749.5 + 12376.3i −0.741707 + 0.622366i
\(735\) −2279.03 + 6412.33i −0.114372 + 0.321799i
\(736\) 13530.7 4924.76i 0.677646 0.246643i
\(737\) −1434.77 + 2485.09i −0.0717101 + 0.124206i
\(738\) −20550.8 7129.11i −1.02505 0.355591i
\(739\) 458.883 + 794.808i 0.0228421 + 0.0395636i 0.877220 0.480088i \(-0.159395\pi\)
−0.854378 + 0.519651i \(0.826062\pi\)
\(740\) 1291.98 + 1084.10i 0.0641813 + 0.0538545i
\(741\) 10176.3 + 5772.93i 0.504502 + 0.286200i
\(742\) 16017.7 + 90840.8i 0.792490 + 4.49444i
\(743\) 2387.92 + 13542.6i 0.117906 + 0.668680i 0.985270 + 0.171005i \(0.0547015\pi\)
−0.867364 + 0.497674i \(0.834187\pi\)
\(744\) −6416.57 + 3769.71i −0.316186 + 0.185759i
\(745\) 2077.11 + 1742.90i 0.102147 + 0.0857113i
\(746\) −10692.8 18520.4i −0.524785 0.908955i
\(747\) −4490.27 + 8056.90i −0.219934 + 0.394627i
\(748\) −2519.63 + 4364.14i −0.123164 + 0.213327i
\(749\) 11498.3 4185.04i 0.560934 0.204163i
\(750\) −7534.03 + 1387.39i −0.366805 + 0.0675470i
\(751\) 17179.0 14414.9i 0.834713 0.700407i −0.121655 0.992572i \(-0.538820\pi\)
0.956368 + 0.292165i \(0.0943758\pi\)
\(752\) 34853.5 + 12685.6i 1.69013 + 0.615156i
\(753\) 17946.5 21719.9i 0.868536 1.05115i
\(754\) 4670.33 26486.8i 0.225575 1.27930i
\(755\) 3977.53 0.191732
\(756\) 23432.8 + 12827.9i 1.12731 + 0.617123i
\(757\) 5900.33 0.283291 0.141645 0.989917i \(-0.454761\pi\)
0.141645 + 0.989917i \(0.454761\pi\)
\(758\) −8190.16 + 46448.7i −0.392454 + 2.22572i
\(759\) −2994.37 8036.97i −0.143200 0.384353i
\(760\) 979.079 + 356.356i 0.0467302 + 0.0170084i
\(761\) 8512.89 7143.17i