Properties

Label 27.4.e.a.25.1
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 25.1
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.874714 + 4.96075i) q^{2} +(2.71299 + 4.43167i) q^{3} +(-16.3263 - 5.94230i) q^{4} +(11.9326 - 10.0126i) q^{5} +(-24.3575 + 9.58200i) q^{6} +(-5.29732 + 1.92807i) q^{7} +(23.6100 - 40.8938i) q^{8} +(-12.2794 + 24.0461i) q^{9} +O(q^{10})\) \(q+(-0.874714 + 4.96075i) q^{2} +(2.71299 + 4.43167i) q^{3} +(-16.3263 - 5.94230i) q^{4} +(11.9326 - 10.0126i) q^{5} +(-24.3575 + 9.58200i) q^{6} +(-5.29732 + 1.92807i) q^{7} +(23.6100 - 40.8938i) q^{8} +(-12.2794 + 24.0461i) q^{9} +(39.2325 + 67.9527i) q^{10} +(30.2222 + 25.3594i) q^{11} +(-17.9588 - 88.4744i) q^{12} +(-10.1763 - 57.7124i) q^{13} +(-4.93102 - 27.9652i) q^{14} +(76.7456 + 25.7172i) q^{15} +(75.7369 + 63.5508i) q^{16} +(8.53867 + 14.7894i) q^{17} +(-108.546 - 81.9485i) q^{18} +(10.5573 - 18.2858i) q^{19} +(-254.314 + 92.5626i) q^{20} +(-22.9161 - 18.2452i) q^{21} +(-152.238 + 127.742i) q^{22} +(-27.3949 - 9.97093i) q^{23} +(245.282 - 6.31238i) q^{24} +(20.4278 - 115.852i) q^{25} +295.198 q^{26} +(-139.878 + 10.8185i) q^{27} +97.9431 q^{28} +(34.8557 - 197.676i) q^{29} +(-194.707 + 358.220i) q^{30} +(36.3946 + 13.2466i) q^{31} +(-92.1260 + 77.3029i) q^{32} +(-30.3923 + 202.735i) q^{33} +(-80.8354 + 29.4217i) q^{34} +(-43.9057 + 76.0470i) q^{35} +(343.367 - 319.617i) q^{36} +(-144.366 - 250.048i) q^{37} +(81.4764 + 68.3668i) q^{38} +(228.154 - 201.671i) q^{39} +(-127.725 - 724.367i) q^{40} +(78.5187 + 445.302i) q^{41} +(110.555 - 97.7218i) q^{42} +(-12.7283 - 10.6803i) q^{43} +(-342.725 - 593.617i) q^{44} +(94.2398 + 409.881i) q^{45} +(73.4259 - 127.177i) q^{46} +(-101.430 + 36.9176i) q^{47} +(-76.1630 + 508.053i) q^{48} +(-238.409 + 200.049i) q^{49} +(556.844 + 202.675i) q^{50} +(-42.3765 + 77.9640i) q^{51} +(-176.804 + 1002.70i) q^{52} -540.581 q^{53} +(68.6856 - 703.364i) q^{54} +614.544 q^{55} +(-46.2240 + 262.150i) q^{56} +(109.678 - 2.82260i) q^{57} +(950.134 + 345.821i) q^{58} +(124.757 - 104.684i) q^{59} +(-1100.16 - 875.913i) q^{60} +(-425.952 + 155.034i) q^{61} +(-97.5477 + 168.958i) q^{62} +(18.6854 - 151.056i) q^{63} +(92.5737 + 160.342i) q^{64} +(-699.282 - 586.767i) q^{65} +(-979.131 - 328.103i) q^{66} +(53.9930 + 306.209i) q^{67} +(-51.5221 - 292.196i) q^{68} +(-30.1341 - 148.456i) q^{69} +(-338.845 - 284.325i) q^{70} +(207.996 + 360.260i) q^{71} +(693.420 + 1069.88i) q^{72} +(294.437 - 509.980i) q^{73} +(1366.71 - 497.440i) q^{74} +(568.838 - 223.775i) q^{75} +(-281.021 + 235.805i) q^{76} +(-208.992 - 76.0667i) q^{77} +(800.868 + 1308.22i) q^{78} +(81.7637 - 463.705i) q^{79} +1540.05 q^{80} +(-427.432 - 590.544i) q^{81} -2277.71 q^{82} +(43.8952 - 248.942i) q^{83} +(265.718 + 434.052i) q^{84} +(249.969 + 90.9813i) q^{85} +(64.1160 - 53.7997i) q^{86} +(970.600 - 381.825i) q^{87} +(1750.59 - 637.163i) q^{88} +(-468.388 + 811.272i) q^{89} +(-2115.75 + 108.971i) q^{90} +(165.180 + 286.101i) q^{91} +(388.008 + 325.578i) q^{92} +(40.0337 + 197.227i) q^{93} +(-94.4163 - 535.462i) q^{94} +(-57.1127 - 323.902i) q^{95} +(-592.518 - 198.550i) q^{96} +(247.545 + 207.715i) q^{97} +(-783.853 - 1357.67i) q^{98} +(-980.907 + 415.328i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.874714 + 4.96075i −0.309258 + 1.75389i 0.293495 + 0.955961i \(0.405182\pi\)
−0.602753 + 0.797928i \(0.705929\pi\)
\(3\) 2.71299 + 4.43167i 0.522115 + 0.852875i
\(4\) −16.3263 5.94230i −2.04079 0.742788i
\(5\) 11.9326 10.0126i 1.06728 0.895556i 0.0724791 0.997370i \(-0.476909\pi\)
0.994804 + 0.101813i \(0.0324645\pi\)
\(6\) −24.3575 + 9.58200i −1.65732 + 0.651972i
\(7\) −5.29732 + 1.92807i −0.286029 + 0.104106i −0.481050 0.876693i \(-0.659745\pi\)
0.195022 + 0.980799i \(0.437522\pi\)
\(8\) 23.6100 40.8938i 1.04343 1.80727i
\(9\) −12.2794 + 24.0461i −0.454793 + 0.890597i
\(10\) 39.2325 + 67.9527i 1.24064 + 2.14885i
\(11\) 30.2222 + 25.3594i 0.828395 + 0.695106i 0.954922 0.296858i \(-0.0959387\pi\)
−0.126527 + 0.991963i \(0.540383\pi\)
\(12\) −17.9588 88.4744i −0.432022 2.12836i
\(13\) −10.1763 57.7124i −0.217106 1.23127i −0.877213 0.480100i \(-0.840600\pi\)
0.660107 0.751172i \(-0.270511\pi\)
\(14\) −4.93102 27.9652i −0.0941336 0.533858i
\(15\) 76.7456 + 25.7172i 1.32104 + 0.442676i
\(16\) 75.7369 + 63.5508i 1.18339 + 0.992981i
\(17\) 8.53867 + 14.7894i 0.121819 + 0.210998i 0.920485 0.390777i \(-0.127794\pi\)
−0.798666 + 0.601775i \(0.794460\pi\)
\(18\) −108.546 81.9485i −1.42136 1.07308i
\(19\) 10.5573 18.2858i 0.127474 0.220792i −0.795223 0.606317i \(-0.792646\pi\)
0.922697 + 0.385525i \(0.125980\pi\)
\(20\) −254.314 + 92.5626i −2.84331 + 1.03488i
\(21\) −22.9161 18.2452i −0.238129 0.189592i
\(22\) −152.238 + 127.742i −1.47533 + 1.23795i
\(23\) −27.3949 9.97093i −0.248358 0.0903949i 0.214842 0.976649i \(-0.431076\pi\)
−0.463200 + 0.886254i \(0.653299\pi\)
\(24\) 245.282 6.31238i 2.08616 0.0536879i
\(25\) 20.4278 115.852i 0.163423 0.926816i
\(26\) 295.198 2.22666
\(27\) −139.878 + 10.8185i −0.997022 + 0.0771121i
\(28\) 97.9431 0.661054
\(29\) 34.8557 197.676i 0.223191 1.26578i −0.642922 0.765931i \(-0.722278\pi\)
0.866113 0.499848i \(-0.166611\pi\)
\(30\) −194.707 + 358.220i −1.18495 + 2.18006i
\(31\) 36.3946 + 13.2466i 0.210860 + 0.0767469i 0.445291 0.895386i \(-0.353100\pi\)
−0.234430 + 0.972133i \(0.575323\pi\)
\(32\) −92.1260 + 77.3029i −0.508929 + 0.427042i
\(33\) −30.3923 + 202.735i −0.160322 + 1.06944i
\(34\) −80.8354 + 29.4217i −0.407740 + 0.148405i
\(35\) −43.9057 + 76.0470i −0.212041 + 0.367265i
\(36\) 343.367 319.617i 1.58966 1.47971i
\(37\) −144.366 250.048i −0.641447 1.11102i −0.985110 0.171926i \(-0.945001\pi\)
0.343662 0.939093i \(-0.388332\pi\)
\(38\) 81.4764 + 68.3668i 0.347822 + 0.291857i
\(39\) 228.154 201.671i 0.936767 0.828030i
\(40\) −127.725 724.367i −0.504879 2.86331i
\(41\) 78.5187 + 445.302i 0.299087 + 1.69621i 0.650110 + 0.759840i \(0.274723\pi\)
−0.351023 + 0.936367i \(0.614166\pi\)
\(42\) 110.555 97.7218i 0.406166 0.359019i
\(43\) −12.7283 10.6803i −0.0451407 0.0378775i 0.619938 0.784651i \(-0.287158\pi\)
−0.665079 + 0.746773i \(0.731602\pi\)
\(44\) −342.725 593.617i −1.17427 2.03389i
\(45\) 94.2398 + 409.881i 0.312188 + 1.35781i
\(46\) 73.4259 127.177i 0.235349 0.407637i
\(47\) −101.430 + 36.9176i −0.314790 + 0.114574i −0.494583 0.869130i \(-0.664679\pi\)
0.179794 + 0.983704i \(0.442457\pi\)
\(48\) −76.1630 + 508.053i −0.229025 + 1.52773i
\(49\) −238.409 + 200.049i −0.695070 + 0.583233i
\(50\) 556.844 + 202.675i 1.57499 + 0.573250i
\(51\) −42.3765 + 77.9640i −0.116351 + 0.214062i
\(52\) −176.804 + 1002.70i −0.471505 + 2.67404i
\(53\) −540.581 −1.40103 −0.700514 0.713639i \(-0.747046\pi\)
−0.700514 + 0.713639i \(0.747046\pi\)
\(54\) 68.6856 703.364i 0.173091 1.77251i
\(55\) 614.544 1.50664
\(56\) −46.2240 + 262.150i −0.110303 + 0.625557i
\(57\) 109.678 2.82260i 0.254864 0.00655898i
\(58\) 950.134 + 345.821i 2.15101 + 0.782905i
\(59\) 124.757 104.684i 0.275288 0.230994i −0.494682 0.869074i \(-0.664715\pi\)
0.769970 + 0.638080i \(0.220271\pi\)
\(60\) −1100.16 875.913i −2.36716 1.88466i
\(61\) −425.952 + 155.034i −0.894058 + 0.325411i −0.747869 0.663846i \(-0.768923\pi\)
−0.146189 + 0.989257i \(0.546701\pi\)
\(62\) −97.5477 + 168.958i −0.199816 + 0.346091i
\(63\) 18.6854 151.056i 0.0373674 0.302083i
\(64\) 92.5737 + 160.342i 0.180808 + 0.313169i
\(65\) −699.282 586.767i −1.33439 1.11968i
\(66\) −979.131 328.103i −1.82610 0.611920i
\(67\) 53.9930 + 306.209i 0.0984521 + 0.558350i 0.993635 + 0.112650i \(0.0359339\pi\)
−0.895183 + 0.445700i \(0.852955\pi\)
\(68\) −51.5221 292.196i −0.0918820 0.521088i
\(69\) −30.1341 148.456i −0.0525757 0.259015i
\(70\) −338.845 284.325i −0.578567 0.485476i
\(71\) 207.996 + 360.260i 0.347671 + 0.602183i 0.985835 0.167717i \(-0.0536394\pi\)
−0.638165 + 0.769900i \(0.720306\pi\)
\(72\) 693.420 + 1069.88i 1.13500 + 1.75121i
\(73\) 294.437 509.980i 0.472072 0.817652i −0.527418 0.849606i \(-0.676840\pi\)
0.999489 + 0.0319540i \(0.0101730\pi\)
\(74\) 1366.71 497.440i 2.14698 0.781436i
\(75\) 568.838 223.775i 0.875784 0.344525i
\(76\) −281.021 + 235.805i −0.424150 + 0.355904i
\(77\) −208.992 76.0667i −0.309309 0.112579i
\(78\) 800.868 + 1308.22i 1.16257 + 1.89906i
\(79\) 81.7637 463.705i 0.116445 0.660391i −0.869580 0.493792i \(-0.835610\pi\)
0.986025 0.166599i \(-0.0532784\pi\)
\(80\) 1540.05 2.15228
\(81\) −427.432 590.544i −0.586327 0.810075i
\(82\) −2277.71 −3.06745
\(83\) 43.8952 248.942i 0.0580496 0.329216i −0.941929 0.335813i \(-0.890989\pi\)
0.999978 + 0.00659738i \(0.00210003\pi\)
\(84\) 265.718 + 434.052i 0.345146 + 0.563797i
\(85\) 249.969 + 90.9813i 0.318976 + 0.116098i
\(86\) 64.1160 53.7997i 0.0803931 0.0674578i
\(87\) 970.600 381.825i 1.19608 0.470528i
\(88\) 1750.59 637.163i 2.12061 0.771839i
\(89\) −468.388 + 811.272i −0.557854 + 0.966232i 0.439821 + 0.898085i \(0.355042\pi\)
−0.997675 + 0.0681465i \(0.978291\pi\)
\(90\) −2115.75 + 108.971i −2.47800 + 0.127628i
\(91\) 165.180 + 286.101i 0.190281 + 0.329577i
\(92\) 388.008 + 325.578i 0.439703 + 0.368955i
\(93\) 40.0337 + 197.227i 0.0446377 + 0.219908i
\(94\) −94.4163 535.462i −0.103599 0.587539i
\(95\) −57.1127 323.902i −0.0616805 0.349807i
\(96\) −592.518 198.550i −0.629933 0.211088i
\(97\) 247.545 + 207.715i 0.259117 + 0.217425i 0.763087 0.646296i \(-0.223683\pi\)
−0.503969 + 0.863722i \(0.668127\pi\)
\(98\) −783.853 1357.67i −0.807970 1.39945i
\(99\) −980.907 + 415.328i −0.995807 + 0.421637i
\(100\) −1021.94 + 1770.05i −1.02194 + 1.77005i
\(101\) 237.515 86.4486i 0.233997 0.0851678i −0.222360 0.974965i \(-0.571376\pi\)
0.456357 + 0.889797i \(0.349154\pi\)
\(102\) −349.693 278.415i −0.339458 0.270267i
\(103\) −1017.67 + 853.925i −0.973533 + 0.816891i −0.983101 0.183063i \(-0.941399\pi\)
0.00956859 + 0.999954i \(0.496954\pi\)
\(104\) −2600.34 946.447i −2.45177 0.892372i
\(105\) −456.131 + 11.7386i −0.423941 + 0.0109102i
\(106\) 472.853 2681.68i 0.433279 2.45725i
\(107\) 1780.29 1.60848 0.804241 0.594303i \(-0.202572\pi\)
0.804241 + 0.594303i \(0.202572\pi\)
\(108\) 2347.99 + 654.573i 2.09199 + 0.583207i
\(109\) 1698.95 1.49293 0.746466 0.665424i \(-0.231749\pi\)
0.746466 + 0.665424i \(0.231749\pi\)
\(110\) −537.550 + 3048.60i −0.465940 + 2.64247i
\(111\) 716.471 1318.16i 0.612652 1.12715i
\(112\) −523.733 190.623i −0.441858 0.160823i
\(113\) −420.449 + 352.799i −0.350022 + 0.293704i −0.800799 0.598933i \(-0.795592\pi\)
0.450777 + 0.892637i \(0.351147\pi\)
\(114\) −81.9349 + 546.555i −0.0673149 + 0.449031i
\(115\) −426.727 + 155.316i −0.346022 + 0.125942i
\(116\) −1743.72 + 3020.21i −1.39569 + 2.41741i
\(117\) 1512.72 + 463.975i 1.19531 + 0.366619i
\(118\) 410.182 + 710.457i 0.320003 + 0.554262i
\(119\) −73.7471 61.8812i −0.0568100 0.0476692i
\(120\) 2863.64 2531.24i 2.17844 1.92558i
\(121\) 39.1548 + 222.058i 0.0294176 + 0.166835i
\(122\) −396.498 2248.65i −0.294239 1.66871i
\(123\) −1760.41 + 1556.07i −1.29050 + 1.14070i
\(124\) −515.476 432.536i −0.373316 0.313249i
\(125\) 57.3291 + 99.2969i 0.0410214 + 0.0710511i
\(126\) 733.005 + 224.824i 0.518264 + 0.158960i
\(127\) −222.595 + 385.545i −0.155528 + 0.269383i −0.933251 0.359224i \(-0.883041\pi\)
0.777723 + 0.628607i \(0.216375\pi\)
\(128\) −1780.47 + 648.037i −1.22947 + 0.447492i
\(129\) 12.7999 85.3832i 0.00873621 0.0582758i
\(130\) 3522.47 2955.71i 2.37647 1.99410i
\(131\) 1778.56 + 647.343i 1.18621 + 0.431745i 0.858392 0.512995i \(-0.171464\pi\)
0.327819 + 0.944740i \(0.393686\pi\)
\(132\) 1700.91 3129.32i 1.12155 2.06343i
\(133\) −20.6692 + 117.221i −0.0134755 + 0.0764235i
\(134\) −1566.26 −1.00973
\(135\) −1560.79 + 1529.64i −0.995047 + 0.975190i
\(136\) 806.394 0.508439
\(137\) 331.214 1878.41i 0.206551 1.17141i −0.688429 0.725303i \(-0.741699\pi\)
0.894980 0.446106i \(-0.147189\pi\)
\(138\) 762.812 19.6312i 0.470543 0.0121095i
\(139\) −2876.67 1047.02i −1.75537 0.638901i −0.755499 0.655150i \(-0.772606\pi\)
−0.999868 + 0.0162483i \(0.994828\pi\)
\(140\) 1168.71 980.668i 0.705531 0.592011i
\(141\) −438.785 349.348i −0.262074 0.208655i
\(142\) −1969.10 + 716.693i −1.16368 + 0.423546i
\(143\) 1156.01 2002.26i 0.676014 1.17089i
\(144\) −2458.15 + 1040.81i −1.42254 + 0.602322i
\(145\) −1563.34 2707.79i −0.895369 1.55082i
\(146\) 2272.33 + 1906.71i 1.28808 + 1.08083i
\(147\) −1533.35 513.820i −0.860331 0.288294i
\(148\) 871.098 + 4940.24i 0.483810 + 2.74382i
\(149\) 192.006 + 1088.92i 0.105569 + 0.598711i 0.990992 + 0.133924i \(0.0427580\pi\)
−0.885423 + 0.464787i \(0.846131\pi\)
\(150\) 612.523 + 3017.60i 0.333415 + 1.64257i
\(151\) 2116.76 + 1776.17i 1.14079 + 0.957235i 0.999464 0.0327280i \(-0.0104195\pi\)
0.141324 + 0.989963i \(0.454864\pi\)
\(152\) −498.516 863.455i −0.266020 0.460760i
\(153\) −460.478 + 23.7167i −0.243316 + 0.0125319i
\(154\) 560.156 970.218i 0.293108 0.507678i
\(155\) 566.915 206.340i 0.293779 0.106927i
\(156\) −4923.31 + 1936.78i −2.52680 + 0.994018i
\(157\) 843.686 707.937i 0.428876 0.359869i −0.402652 0.915353i \(-0.631911\pi\)
0.831527 + 0.555484i \(0.187467\pi\)
\(158\) 2228.80 + 811.218i 1.12224 + 0.408462i
\(159\) −1466.59 2395.68i −0.731497 1.19490i
\(160\) −325.296 + 1844.85i −0.160731 + 0.911550i
\(161\) 164.344 0.0804481
\(162\) 3303.42 1603.83i 1.60211 0.777830i
\(163\) −3204.18 −1.53970 −0.769849 0.638227i \(-0.779668\pi\)
−0.769849 + 0.638227i \(0.779668\pi\)
\(164\) 1364.20 7736.74i 0.649547 3.68377i
\(165\) 1667.25 + 2723.46i 0.786637 + 1.28497i
\(166\) 1196.54 + 435.506i 0.559456 + 0.203625i
\(167\) −894.925 + 750.931i −0.414679 + 0.347957i −0.826135 0.563473i \(-0.809465\pi\)
0.411456 + 0.911430i \(0.365021\pi\)
\(168\) −1287.17 + 506.358i −0.591113 + 0.232538i
\(169\) −1162.66 + 423.173i −0.529203 + 0.192614i
\(170\) −669.987 + 1160.45i −0.302269 + 0.523544i
\(171\) 310.064 + 478.400i 0.138662 + 0.213943i
\(172\) 144.341 + 250.006i 0.0639878 + 0.110830i
\(173\) 1073.53 + 900.795i 0.471784 + 0.395874i 0.847445 0.530883i \(-0.178140\pi\)
−0.375661 + 0.926757i \(0.622584\pi\)
\(174\) 1045.14 + 5148.89i 0.455355 + 2.24331i
\(175\) 115.158 + 653.092i 0.0497435 + 0.282109i
\(176\) 677.323 + 3841.29i 0.290086 + 1.64516i
\(177\) 802.388 + 268.877i 0.340741 + 0.114181i
\(178\) −3614.81 3033.18i −1.52214 1.27723i
\(179\) 720.190 + 1247.41i 0.300723 + 0.520868i 0.976300 0.216422i \(-0.0694385\pi\)
−0.675577 + 0.737290i \(0.736105\pi\)
\(180\) 897.049 7251.87i 0.371456 3.00290i
\(181\) 448.108 776.145i 0.184020 0.318732i −0.759226 0.650827i \(-0.774422\pi\)
0.943246 + 0.332095i \(0.107756\pi\)
\(182\) −1563.76 + 569.162i −0.636888 + 0.231808i
\(183\) −1842.66 1467.07i −0.744335 0.592619i
\(184\) −1054.54 + 884.867i −0.422511 + 0.354529i
\(185\) −4226.30 1538.25i −1.67959 0.611319i
\(186\) −1013.41 + 26.0804i −0.399499 + 0.0102812i
\(187\) −116.994 + 663.505i −0.0457510 + 0.259467i
\(188\) 1875.36 0.727525
\(189\) 720.122 327.004i 0.277149 0.125852i
\(190\) 1656.76 0.632598
\(191\) −103.056 + 584.457i −0.0390410 + 0.221413i −0.998086 0.0618411i \(-0.980303\pi\)
0.959045 + 0.283254i \(0.0914139\pi\)
\(192\) −459.433 + 845.263i −0.172691 + 0.317717i
\(193\) 1338.31 + 487.105i 0.499138 + 0.181671i 0.579306 0.815110i \(-0.303324\pi\)
−0.0801683 + 0.996781i \(0.525546\pi\)
\(194\) −1246.95 + 1046.32i −0.461474 + 0.387223i
\(195\) 703.216 4690.88i 0.258248 1.72267i
\(196\) 5081.10 1849.37i 1.85171 0.673968i
\(197\) 384.953 666.759i 0.139222 0.241140i −0.787980 0.615701i \(-0.788873\pi\)
0.927202 + 0.374561i \(0.122206\pi\)
\(198\) −1202.32 5229.33i −0.431543 1.87693i
\(199\) 2271.87 + 3935.00i 0.809290 + 1.40173i 0.913356 + 0.407162i \(0.133481\pi\)
−0.104066 + 0.994570i \(0.533185\pi\)
\(200\) −4255.33 3570.64i −1.50449 1.26241i
\(201\) −1210.54 + 1070.02i −0.424799 + 0.375490i
\(202\) 221.091 + 1253.87i 0.0770096 + 0.436743i
\(203\) 196.492 + 1114.36i 0.0679361 + 0.385285i
\(204\) 1155.14 1021.05i 0.396451 0.350432i
\(205\) 5395.57 + 4527.42i 1.83826 + 1.54248i
\(206\) −3345.94 5795.34i −1.13166 1.96010i
\(207\) 576.155 536.304i 0.193457 0.180076i
\(208\) 2896.95 5017.67i 0.965709 1.67266i
\(209\) 782.781 284.909i 0.259072 0.0942946i
\(210\) 340.751 2273.02i 0.111972 0.746920i
\(211\) 3083.97 2587.76i 1.00620 0.844306i 0.0183727 0.999831i \(-0.494151\pi\)
0.987832 + 0.155525i \(0.0497070\pi\)
\(212\) 8825.71 + 3212.30i 2.85921 + 1.04067i
\(213\) −1032.26 + 1899.15i −0.332063 + 0.610928i
\(214\) −1557.25 + 8831.59i −0.497436 + 2.82110i
\(215\) −258.820 −0.0820993
\(216\) −2860.12 + 5975.58i −0.900957 + 1.88235i
\(217\) −218.334 −0.0683019
\(218\) −1486.09 + 8428.05i −0.461701 + 2.61844i
\(219\) 3058.87 78.7206i 0.943831 0.0242897i
\(220\) −10033.3 3651.81i −3.07474 1.11911i
\(221\) 766.640 643.288i 0.233348 0.195802i
\(222\) 5912.35 + 4707.24i 1.78744 + 1.42311i
\(223\) −4319.78 + 1572.27i −1.29719 + 0.472140i −0.896082 0.443889i \(-0.853598\pi\)
−0.401112 + 0.916029i \(0.631376\pi\)
\(224\) 338.976 587.124i 0.101111 0.175129i
\(225\) 2534.95 + 1913.80i 0.751096 + 0.567053i
\(226\) −1382.37 2394.34i −0.406876 0.704731i
\(227\) −114.884 96.3994i −0.0335909 0.0281861i 0.625838 0.779953i \(-0.284757\pi\)
−0.659429 + 0.751767i \(0.729202\pi\)
\(228\) −1807.42 605.659i −0.524996 0.175924i
\(229\) −898.844 5097.60i −0.259377 1.47100i −0.784583 0.620023i \(-0.787123\pi\)
0.525207 0.850975i \(-0.323988\pi\)
\(230\) −397.219 2252.74i −0.113878 0.645832i
\(231\) −229.889 1132.55i −0.0654787 0.322581i
\(232\) −7260.80 6092.53i −2.05472 1.72411i
\(233\) −247.239 428.230i −0.0695157 0.120405i 0.829173 0.558993i \(-0.188812\pi\)
−0.898688 + 0.438588i \(0.855479\pi\)
\(234\) −3624.86 + 7098.37i −1.01267 + 1.98305i
\(235\) −840.682 + 1456.10i −0.233362 + 0.404195i
\(236\) −2658.89 + 967.757i −0.733386 + 0.266931i
\(237\) 2276.81 895.675i 0.624028 0.245487i
\(238\) 371.484 311.712i 0.101175 0.0848963i
\(239\) −5424.09 1974.21i −1.46801 0.534314i −0.520454 0.853890i \(-0.674237\pi\)
−0.947561 + 0.319576i \(0.896459\pi\)
\(240\) 4178.13 + 6824.98i 1.12374 + 1.83563i
\(241\) 1063.43 6031.02i 0.284239 1.61200i −0.423752 0.905778i \(-0.639287\pi\)
0.707991 0.706221i \(-0.249602\pi\)
\(242\) −1135.82 −0.301709
\(243\) 1457.48 3496.38i 0.384763 0.923015i
\(244\) 7875.50 2.06630
\(245\) −841.820 + 4774.20i −0.219518 + 1.24495i
\(246\) −6179.40 10094.1i −1.60156 2.61616i
\(247\) −1162.75 423.206i −0.299530 0.109020i
\(248\) 1400.98 1175.56i 0.358719 0.301001i
\(249\) 1222.32 480.847i 0.311089 0.122379i
\(250\) −542.733 + 197.539i −0.137302 + 0.0499738i
\(251\) 1154.86 2000.27i 0.290414 0.503011i −0.683494 0.729956i \(-0.739540\pi\)
0.973908 + 0.226945i \(0.0728737\pi\)
\(252\) −1202.68 + 2355.15i −0.300643 + 0.588733i
\(253\) −575.077 996.063i −0.142904 0.247518i
\(254\) −1717.89 1441.48i −0.424369 0.356088i
\(255\) 274.964 + 1354.61i 0.0675251 + 0.332663i
\(256\) −1400.15 7940.62i −0.341832 1.93863i
\(257\) 94.4655 + 535.740i 0.0229284 + 0.130033i 0.994123 0.108253i \(-0.0345256\pi\)
−0.971195 + 0.238286i \(0.923414\pi\)
\(258\) 412.368 + 138.183i 0.0995075 + 0.0333446i
\(259\) 1246.86 + 1046.24i 0.299136 + 0.251005i
\(260\) 7929.97 + 13735.1i 1.89152 + 3.27621i
\(261\) 4325.35 + 3265.49i 1.02579 + 0.774441i
\(262\) −4767.04 + 8256.75i −1.12408 + 1.94696i
\(263\) −3598.48 + 1309.74i −0.843695 + 0.307080i −0.727467 0.686143i \(-0.759303\pi\)
−0.116228 + 0.993223i \(0.537080\pi\)
\(264\) 7573.03 + 6029.43i 1.76548 + 1.40563i
\(265\) −6450.52 + 5412.63i −1.49529 + 1.25470i
\(266\) −563.423 205.069i −0.129871 0.0472692i
\(267\) −4866.02 + 125.228i −1.11534 + 0.0287035i
\(268\) 938.081 5320.12i 0.213815 1.21261i
\(269\) 3865.59 0.876169 0.438084 0.898934i \(-0.355657\pi\)
0.438084 + 0.898934i \(0.355657\pi\)
\(270\) −6222.93 9080.68i −1.40265 2.04679i
\(271\) −46.0285 −0.0103175 −0.00515873 0.999987i \(-0.501642\pi\)
−0.00515873 + 0.999987i \(0.501642\pi\)
\(272\) −293.186 + 1662.74i −0.0653568 + 0.370657i
\(273\) −819.772 + 1508.21i −0.181739 + 0.334363i
\(274\) 9028.58 + 3286.13i 1.99064 + 0.724535i
\(275\) 3555.32 2983.27i 0.779613 0.654173i
\(276\) −390.191 + 2602.81i −0.0850970 + 0.567648i
\(277\) 6335.30 2305.86i 1.37419 0.500165i 0.453780 0.891114i \(-0.350075\pi\)
0.920412 + 0.390949i \(0.127853\pi\)
\(278\) 7710.28 13354.6i 1.66342 2.88113i
\(279\) −765.433 + 712.490i −0.164248 + 0.152888i
\(280\) 2073.23 + 3590.94i 0.442498 + 0.766429i
\(281\) −3634.72 3049.89i −0.771634 0.647477i 0.169493 0.985531i \(-0.445787\pi\)
−0.941127 + 0.338054i \(0.890231\pi\)
\(282\) 2116.84 1871.12i 0.447007 0.395120i
\(283\) 623.179 + 3534.22i 0.130898 + 0.742360i 0.977629 + 0.210338i \(0.0674564\pi\)
−0.846731 + 0.532022i \(0.821432\pi\)
\(284\) −1255.04 7117.71i −0.262230 1.48718i
\(285\) 1280.48 1131.85i 0.266138 0.235245i
\(286\) 8921.53 + 7486.05i 1.84455 + 1.54776i
\(287\) −1274.51 2207.52i −0.262133 0.454027i
\(288\) −727.582 3164.51i −0.148865 0.647467i
\(289\) 2310.68 4002.22i 0.470320 0.814618i
\(290\) 14800.1 5386.81i 2.99687 1.09077i
\(291\) −248.938 + 1660.57i −0.0501478 + 0.334516i
\(292\) −7837.53 + 6576.47i −1.57074 + 1.31801i
\(293\) −6306.78 2295.48i −1.25749 0.457691i −0.374567 0.927200i \(-0.622209\pi\)
−0.882928 + 0.469509i \(0.844431\pi\)
\(294\) 3890.18 7157.12i 0.771700 1.41977i
\(295\) 440.517 2498.29i 0.0869419 0.493072i
\(296\) −13633.9 −2.67721
\(297\) −4501.79 3220.28i −0.879529 0.629157i
\(298\) −5569.82 −1.08272
\(299\) −296.669 + 1682.49i −0.0573806 + 0.325421i
\(300\) −10616.8 + 273.226i −2.04320 + 0.0525823i
\(301\) 88.0184 + 32.0361i 0.0168548 + 0.00613464i
\(302\) −10662.7 + 8947.05i −2.03168 + 1.70478i
\(303\) 1027.49 + 818.056i 0.194811 + 0.155103i
\(304\) 1961.65 713.982i 0.370093 0.134703i
\(305\) −3530.41 + 6114.85i −0.662789 + 1.14798i
\(306\) 285.133 2305.06i 0.0532680 0.430626i
\(307\) −572.149 990.992i −0.106366 0.184231i 0.807930 0.589279i \(-0.200588\pi\)
−0.914295 + 0.405048i \(0.867255\pi\)
\(308\) 2960.06 + 2483.78i 0.547614 + 0.459502i
\(309\) −6545.24 2193.28i −1.20500 0.403791i
\(310\) 527.713 + 2992.81i 0.0966842 + 0.548323i
\(311\) 1566.20 + 8882.39i 0.285567 + 1.61953i 0.703253 + 0.710939i \(0.251730\pi\)
−0.417686 + 0.908591i \(0.637159\pi\)
\(312\) −2860.35 14091.6i −0.519024 2.55698i
\(313\) −892.475 748.876i −0.161168 0.135236i 0.558637 0.829412i \(-0.311325\pi\)
−0.719805 + 0.694176i \(0.755769\pi\)
\(314\) 2773.91 + 4804.56i 0.498538 + 0.863493i
\(315\) −1289.50 1989.57i −0.230651 0.355872i
\(316\) −4090.38 + 7084.74i −0.728170 + 1.26123i
\(317\) −26.5651 + 9.66891i −0.00470677 + 0.00171312i −0.344372 0.938833i \(-0.611908\pi\)
0.339666 + 0.940546i \(0.389686\pi\)
\(318\) 13167.2 5179.84i 2.32195 0.913431i
\(319\) 6066.38 5090.30i 1.06474 0.893423i
\(320\) 2710.09 + 986.393i 0.473433 + 0.172316i
\(321\) 4829.92 + 7889.68i 0.839812 + 1.37183i
\(322\) −143.754 + 815.271i −0.0248792 + 0.141097i
\(323\) 360.581 0.0621153
\(324\) 3469.21 + 12181.4i 0.594858 + 2.08871i
\(325\) −6893.97 −1.17664
\(326\) 2802.74 15895.1i 0.476164 2.70046i
\(327\) 4609.22 + 7529.17i 0.779481 + 1.27329i
\(328\) 20063.9 + 7302.67i 3.37757 + 1.22934i
\(329\) 466.129 391.129i 0.0781110 0.0655429i
\(330\) −14968.7 + 5888.56i −2.49698 + 0.982286i
\(331\) −10173.1 + 3702.70i −1.68932 + 0.614861i −0.994539 0.104364i \(-0.966719\pi\)
−0.694777 + 0.719225i \(0.744497\pi\)
\(332\) −2195.94 + 3803.47i −0.363005 + 0.628743i
\(333\) 7785.42 400.985i 1.28120 0.0659875i
\(334\) −2942.38 5096.35i −0.482035 0.834909i
\(335\) 3710.24 + 3113.26i 0.605110 + 0.507747i
\(336\) −576.101 2838.17i −0.0935384 0.460818i
\(337\) −917.031 5200.74i −0.148231 0.840660i −0.964716 0.263293i \(-0.915191\pi\)
0.816485 0.577367i \(-0.195920\pi\)
\(338\) −1082.26 6137.81i −0.174164 0.987731i
\(339\) −2704.16 906.154i −0.433244 0.145179i
\(340\) −3540.44 2970.79i −0.564728 0.473863i
\(341\) 764.001 + 1323.29i 0.121328 + 0.210147i
\(342\) −2644.44 + 1119.69i −0.418114 + 0.177034i
\(343\) 1844.02 3193.93i 0.290285 0.502788i
\(344\) −737.275 + 268.346i −0.115556 + 0.0420589i
\(345\) −1846.01 1469.74i −0.288076 0.229358i
\(346\) −5407.65 + 4537.55i −0.840222 + 0.705030i
\(347\) 9341.66 + 3400.09i 1.44521 + 0.526012i 0.941248 0.337716i \(-0.109654\pi\)
0.503958 + 0.863728i \(0.331876\pi\)
\(348\) −18115.3 + 466.201i −2.79046 + 0.0718132i
\(349\) 132.239 749.966i 0.0202825 0.115028i −0.972986 0.230866i \(-0.925844\pi\)
0.993268 + 0.115838i \(0.0369553\pi\)
\(350\) −3340.55 −0.510172
\(351\) 2047.80 + 7962.62i 0.311406 + 1.21086i
\(352\) −4744.61 −0.718434
\(353\) 597.423 3388.15i 0.0900782 0.510859i −0.906067 0.423135i \(-0.860930\pi\)
0.996145 0.0877239i \(-0.0279593\pi\)
\(354\) −2035.69 + 3745.25i −0.305638 + 0.562311i
\(355\) 6089.08 + 2216.25i 0.910352 + 0.331341i
\(356\) 12467.9 10461.8i 1.85617 1.55751i
\(357\) 74.1620 494.706i 0.0109946 0.0733406i
\(358\) −6818.02 + 2481.56i −1.00655 + 0.366353i
\(359\) 38.5343 66.7434i 0.00566508 0.00981220i −0.863179 0.504898i \(-0.831530\pi\)
0.868844 + 0.495086i \(0.164863\pi\)
\(360\) 18986.6 + 5823.50i 2.77967 + 0.852570i
\(361\) 3206.59 + 5553.97i 0.467501 + 0.809735i
\(362\) 3458.30 + 2901.85i 0.502110 + 0.421321i
\(363\) −877.862 + 775.962i −0.126931 + 0.112197i
\(364\) −996.694 5652.53i −0.143519 0.813937i
\(365\) −1592.84 9033.46i −0.228420 1.29543i
\(366\) 8889.58 7857.70i 1.26958 1.12221i
\(367\) −9134.94 7665.13i −1.29929 1.09024i −0.990267 0.139181i \(-0.955553\pi\)
−0.309025 0.951054i \(-0.600003\pi\)
\(368\) −1441.14 2496.13i −0.204144 0.353587i
\(369\) −11671.9 3579.97i −1.64666 0.505057i
\(370\) 11327.6 19620.1i 1.59161 2.75675i
\(371\) 2863.63 1042.28i 0.400734 0.145855i
\(372\) 518.377 3457.89i 0.0722489 0.481944i
\(373\) −2305.55 + 1934.59i −0.320045 + 0.268550i −0.788629 0.614869i \(-0.789209\pi\)
0.468584 + 0.883419i \(0.344764\pi\)
\(374\) −3189.14 1160.75i −0.440927 0.160484i
\(375\) −284.518 + 523.455i −0.0391799 + 0.0720829i
\(376\) −885.071 + 5019.49i −0.121394 + 0.688459i
\(377\) −11763.1 −1.60697
\(378\) 992.285 + 3858.38i 0.135020 + 0.525010i
\(379\) 5072.56 0.687493 0.343747 0.939062i \(-0.388304\pi\)
0.343747 + 0.939062i \(0.388304\pi\)
\(380\) −992.285 + 5627.53i −0.133956 + 0.759700i
\(381\) −2312.51 + 59.5129i −0.310953 + 0.00800246i
\(382\) −2809.20 1022.47i −0.376260 0.136947i
\(383\) 9044.81 7589.50i 1.20671 1.01255i 0.207293 0.978279i \(-0.433535\pi\)
0.999413 0.0342669i \(-0.0109096\pi\)
\(384\) −7702.27 6132.33i −1.02358 0.814946i
\(385\) −3255.44 + 1184.88i −0.430941 + 0.156850i
\(386\) −3587.04 + 6212.94i −0.472994 + 0.819249i
\(387\) 413.116 174.918i 0.0542633 0.0229757i
\(388\) −2807.20 4862.22i −0.367304 0.636190i
\(389\) 7548.43 + 6333.88i 0.983857 + 0.825554i 0.984667 0.174445i \(-0.0558132\pi\)
−0.000809477 1.00000i \(0.500258\pi\)
\(390\) 22655.1 + 7591.65i 2.94151 + 0.985688i
\(391\) −86.4519 490.293i −0.0111817 0.0634148i
\(392\) 2551.91 + 14472.6i 0.328804 + 1.86474i
\(393\) 1956.40 + 9638.23i 0.251113 + 1.23711i
\(394\) 2970.90 + 2492.88i 0.379877 + 0.318755i
\(395\) −3667.25 6351.86i −0.467138 0.809106i
\(396\) 18482.6 951.941i 2.34542 0.120800i
\(397\) −2489.64 + 4312.18i −0.314739 + 0.545144i −0.979382 0.202017i \(-0.935250\pi\)
0.664643 + 0.747161i \(0.268584\pi\)
\(398\) −21507.8 + 7828.19i −2.70876 + 0.985909i
\(399\) −575.559 + 226.419i −0.0722155 + 0.0284089i
\(400\) 8909.63 7476.07i 1.11370 0.934508i
\(401\) 3818.92 + 1389.97i 0.475580 + 0.173097i 0.568678 0.822560i \(-0.307455\pi\)
−0.0930985 + 0.995657i \(0.529677\pi\)
\(402\) −4249.23 6941.13i −0.527195 0.861174i
\(403\) 394.130 2235.22i 0.0487171 0.276289i
\(404\) −4391.46 −0.540801
\(405\) −11013.3 2767.00i −1.35124 0.339490i
\(406\) −5699.93 −0.696756
\(407\) 1978.04 11218.0i 0.240904 1.36624i
\(408\) 2187.73 + 3573.67i 0.265463 + 0.433635i
\(409\) 2611.57 + 950.534i 0.315731 + 0.114917i 0.495025 0.868879i \(-0.335159\pi\)
−0.179294 + 0.983796i \(0.557381\pi\)
\(410\) −27179.0 + 22805.9i −3.27384 + 2.74708i
\(411\) 9223.05 3628.26i 1.10691 0.435447i
\(412\) 21689.1 7894.18i 2.59356 0.943977i
\(413\) −459.042 + 795.084i −0.0546924 + 0.0947301i
\(414\) 2156.50 + 3327.27i 0.256005 + 0.394992i
\(415\) −1968.78 3410.02i −0.232876 0.403353i
\(416\) 5398.83 + 4530.16i 0.636297 + 0.533917i
\(417\) −3164.31 15589.0i −0.371599 1.83069i
\(418\) 728.653 + 4132.39i 0.0852621 + 0.483545i
\(419\) 1910.84 + 10836.9i 0.222794 + 1.26353i 0.866858 + 0.498555i \(0.166136\pi\)
−0.644064 + 0.764971i \(0.722753\pi\)
\(420\) 7516.70 + 2518.82i 0.873280 + 0.292633i
\(421\) 680.336 + 570.869i 0.0787590 + 0.0660866i 0.681317 0.731988i \(-0.261407\pi\)
−0.602558 + 0.798075i \(0.705852\pi\)
\(422\) 10139.6 + 17562.3i 1.16964 + 2.02588i
\(423\) 357.778 2892.33i 0.0411247 0.332458i
\(424\) −12763.1 + 22106.4i −1.46187 + 2.53203i
\(425\) 1887.81 687.106i 0.215464 0.0784225i
\(426\) −8518.28 6782.01i −0.968807 0.771337i
\(427\) 1957.49 1642.53i 0.221849 0.186153i
\(428\) −29065.7 10579.1i −3.28258 1.19476i
\(429\) 12009.6 309.070i 1.35158 0.0347833i
\(430\) 226.393 1283.94i 0.0253899 0.143993i
\(431\) −6010.51 −0.671731 −0.335866 0.941910i \(-0.609029\pi\)
−0.335866 + 0.941910i \(0.609029\pi\)
\(432\) −11281.5 8070.02i −1.25644 0.898771i
\(433\) 7426.23 0.824207 0.412104 0.911137i \(-0.364794\pi\)
0.412104 + 0.911137i \(0.364794\pi\)
\(434\) 190.980 1083.10i 0.0211229 0.119794i
\(435\) 7758.70 14274.4i 0.855175 1.57335i
\(436\) −27737.6 10095.7i −3.04677 1.10893i
\(437\) −471.542 + 395.671i −0.0516176 + 0.0433123i
\(438\) −2285.12 + 15243.1i −0.249286 + 1.66289i
\(439\) 9868.78 3591.94i 1.07292 0.390510i 0.255651 0.966769i \(-0.417710\pi\)
0.817267 + 0.576259i \(0.195488\pi\)
\(440\) 14509.4 25131.0i 1.57207 2.72290i
\(441\) −1882.88 8189.30i −0.203313 0.884278i
\(442\) 2520.60 + 4365.80i 0.271250 + 0.469819i
\(443\) −7197.04 6039.03i −0.771877 0.647682i 0.169312 0.985563i \(-0.445846\pi\)
−0.941189 + 0.337881i \(0.890290\pi\)
\(444\) −19530.3 + 17263.2i −2.08753 + 1.84522i
\(445\) 2533.88 + 14370.4i 0.269927 + 1.53083i
\(446\) −4021.07 22804.6i −0.426913 2.42115i
\(447\) −4304.83 + 3805.14i −0.455507 + 0.402633i
\(448\) −799.544 670.897i −0.0843190 0.0707520i
\(449\) 4004.86 + 6936.62i 0.420937 + 0.729085i 0.996031 0.0890023i \(-0.0283679\pi\)
−0.575094 + 0.818087i \(0.695035\pi\)
\(450\) −11711.3 + 10901.2i −1.22683 + 1.14197i
\(451\) −8919.60 + 15449.2i −0.931281 + 1.61303i
\(452\) 8960.84 3261.48i 0.932483 0.339396i
\(453\) −2128.67 + 14199.5i −0.220780 + 1.47274i
\(454\) 578.704 485.590i 0.0598236 0.0501980i
\(455\) 4835.65 + 1760.03i 0.498239 + 0.181344i
\(456\) 2474.08 4551.80i 0.254078 0.467451i
\(457\) −618.137 + 3505.63i −0.0632718 + 0.358832i 0.936691 + 0.350158i \(0.113872\pi\)
−0.999962 + 0.00867400i \(0.997239\pi\)
\(458\) 26074.1 2.66018
\(459\) −1354.37 1976.34i −0.137727 0.200976i
\(460\) 7889.83 0.799707
\(461\) −433.570 + 2458.90i −0.0438034 + 0.248422i −0.998845 0.0480506i \(-0.984699\pi\)
0.955041 + 0.296472i \(0.0958102\pi\)
\(462\) 5819.38 149.763i 0.586022 0.0150814i
\(463\) 4975.36 + 1810.88i 0.499405 + 0.181769i 0.579426 0.815025i \(-0.303277\pi\)
−0.0800212 + 0.996793i \(0.525499\pi\)
\(464\) 15202.4 12756.3i 1.52102 1.27628i
\(465\) 2452.46 + 1952.58i 0.244581 + 0.194729i
\(466\) 2340.61 851.911i 0.232675 0.0846867i
\(467\) 342.837 593.811i 0.0339713 0.0588400i −0.848540 0.529131i \(-0.822518\pi\)
0.882511 + 0.470291i \(0.155851\pi\)
\(468\) −21940.1 16564.0i −2.16705 1.63605i
\(469\) −876.411 1517.99i −0.0862876 0.149455i
\(470\) −6488.01 5444.08i −0.636744 0.534291i
\(471\) 5426.25 + 1818.32i 0.530846 + 0.177884i
\(472\) −1335.39 7573.38i −0.130225 0.738545i
\(473\) −113.831 645.566i −0.0110654 0.0627551i
\(474\) 2451.66 + 12078.1i 0.237571 + 1.17040i
\(475\) −1902.78 1596.62i −0.183801 0.154227i
\(476\) 836.304 + 1448.52i 0.0805293 + 0.139481i
\(477\) 6638.01 12998.9i 0.637177 1.24775i
\(478\) 14538.1 25180.7i 1.39112 2.40949i
\(479\) −13552.8 + 4932.81i −1.29278 + 0.470534i −0.894639 0.446789i \(-0.852567\pi\)
−0.398143 + 0.917323i \(0.630345\pi\)
\(480\) −9058.28 + 3563.44i −0.861358 + 0.338850i
\(481\) −12961.8 + 10876.2i −1.22870 + 1.03101i
\(482\) 28988.1 + 10550.8i 2.73937 + 0.997047i
\(483\) 445.864 + 728.320i 0.0420031 + 0.0686122i
\(484\) 680.281 3858.07i 0.0638882 0.362328i
\(485\) 5033.63 0.471268
\(486\) 16069.8 + 10288.5i 1.49988 + 0.960281i
\(487\) 9613.07 0.894476 0.447238 0.894415i \(-0.352408\pi\)
0.447238 + 0.894415i \(0.352408\pi\)
\(488\) −3716.82 + 21079.1i −0.344780 + 1.95534i
\(489\) −8692.89 14199.9i −0.803898 1.31317i
\(490\) −22947.3 8352.12i −2.11561 0.770021i
\(491\) 2330.71 1955.70i 0.214223 0.179755i −0.529361 0.848396i \(-0.677568\pi\)
0.743585 + 0.668642i \(0.233124\pi\)
\(492\) 37987.7 14944.0i 3.48093 1.36936i
\(493\) 3221.14 1172.40i 0.294265 0.107104i
\(494\) 3116.49 5397.92i 0.283841 0.491627i
\(495\) −7546.23 + 14777.4i −0.685208 + 1.34181i
\(496\) 1914.59 + 3316.16i 0.173322 + 0.300202i
\(497\) −1796.43 1507.38i −0.162135 0.136047i
\(498\) 1316.18 + 6484.20i 0.118433 + 0.583462i
\(499\) 2243.24 + 12722.0i 0.201244 + 1.14131i 0.903241 + 0.429134i \(0.141181\pi\)
−0.701996 + 0.712180i \(0.747708\pi\)
\(500\) −345.922 1961.82i −0.0309402 0.175471i
\(501\) −5755.80 1928.75i −0.513274 0.171996i
\(502\) 8912.66 + 7478.61i 0.792413 + 0.664914i
\(503\) −5416.54 9381.72i −0.480142 0.831631i 0.519598 0.854411i \(-0.326082\pi\)
−0.999741 + 0.0227800i \(0.992748\pi\)
\(504\) −5736.08 4330.55i −0.506955 0.382734i
\(505\) 1968.60 3409.71i 0.173468 0.300455i
\(506\) 5444.24 1981.54i 0.478313 0.174092i
\(507\) −5029.64 4004.46i −0.440580 0.350778i
\(508\) 5925.18 4971.82i 0.517495 0.434230i
\(509\) −8799.04 3202.59i −0.766229 0.278885i −0.0708109 0.997490i \(-0.522559\pi\)
−0.695418 + 0.718605i \(0.744781\pi\)
\(510\) −6960.40 + 179.128i −0.604337 + 0.0155528i
\(511\) −576.452 + 3269.22i −0.0499036 + 0.283017i
\(512\) 25458.3 2.19747
\(513\) −1278.91 + 2672.00i −0.110069 + 0.229964i
\(514\) −2740.30 −0.235155
\(515\) −3593.38 + 20379.1i −0.307463 + 1.74371i
\(516\) −716.349 + 1317.94i −0.0611153 + 0.112440i
\(517\) −4001.65 1456.48i −0.340411 0.123899i
\(518\) −6280.79 + 5270.21i −0.532745 + 0.447026i
\(519\) −1079.57 + 7201.36i −0.0913058 + 0.609065i
\(520\) −40505.2 + 14742.7i −3.41590 + 1.24329i
\(521\) −2385.57 + 4131.92i −0.200602 + 0.347453i −0.948723 0.316110i \(-0.897623\pi\)
0.748121 + 0.663563i \(0.230956\pi\)
\(522\) −19982.7 + 18600.6i −1.67552 + 1.55963i
\(523\) 5149.38 + 8918.99i 0.430529 + 0.745698i 0.996919 0.0784392i \(-0.0249936\pi\)
−0.566390 + 0.824137i \(0.691660\pi\)
\(524\) −25190.7 21137.5i −2.10012 1.76221i
\(525\) −2581.87 + 2282.17i −0.214632 + 0.189718i
\(526\) −3349.65 18996.8i −0.277665 1.57471i
\(527\) 114.853 + 651.363i 0.00949349 + 0.0538403i
\(528\) −15185.8 + 13423.0i −1.25166 + 1.10637i
\(529\) −8669.40 7274.49i −0.712534 0.597887i
\(530\) −21208.3 36733.9i −1.73817 3.01060i
\(531\) 985.293 + 4285.38i 0.0805237 + 0.350225i
\(532\) 1034.01 1790.96i 0.0842673 0.145955i
\(533\) 24900.4 9063.01i 2.02356 0.736515i
\(534\) 3635.15 24248.6i 0.294585 1.96506i
\(535\) 21243.5 17825.4i 1.71671 1.44049i
\(536\) 13796.8 + 5021.64i 1.11181 + 0.404667i
\(537\) −3574.22 + 6575.84i −0.287224 + 0.528433i
\(538\) −3381.29 + 19176.2i −0.270962 + 1.53670i
\(539\) −12278.4 −0.981201
\(540\) 34571.6 15698.8i 2.75504 1.25105i
\(541\) −11070.6 −0.879783 −0.439892 0.898051i \(-0.644983\pi\)
−0.439892 + 0.898051i \(0.644983\pi\)
\(542\) 40.2618 228.336i 0.00319076 0.0180957i
\(543\) 4655.33 119.806i 0.367918 0.00946845i
\(544\) −1929.90 702.425i −0.152102 0.0553607i
\(545\) 20272.8 17010.9i 1.59338 1.33700i
\(546\) −6764.79 5385.94i −0.530232 0.422155i
\(547\) −8326.61 + 3030.64i −0.650860 + 0.236894i −0.646285 0.763096i \(-0.723678\pi\)
−0.00457452 + 0.999990i \(0.501456\pi\)
\(548\) −16569.6 + 28699.3i −1.29164 + 2.23718i
\(549\) 1502.47 12146.2i 0.116802 0.944240i
\(550\) 11689.3 + 20246.5i 0.906246 + 1.56966i
\(551\) −3246.68 2724.29i −0.251022 0.210633i
\(552\) −6782.40 2272.76i −0.522968 0.175245i
\(553\) 460.926 + 2614.04i 0.0354441 + 0.201013i
\(554\) 5897.22 + 33444.8i 0.452254 + 2.56486i
\(555\) −4648.89 22902.8i −0.355557 1.75166i
\(556\) 40743.8 + 34188.1i 3.10777 + 2.60773i
\(557\) 2971.99 + 5147.64i 0.226081 + 0.391584i 0.956643 0.291262i \(-0.0940752\pi\)
−0.730562 + 0.682846i \(0.760742\pi\)
\(558\) −2864.95 4420.34i −0.217353 0.335355i
\(559\) −486.860 + 843.267i −0.0368372 + 0.0638039i
\(560\) −8158.13 + 2969.32i −0.615614 + 0.224065i
\(561\) −3257.84 + 1281.60i −0.245180 + 0.0964514i
\(562\) 18309.1 15363.1i 1.37424 1.15312i
\(563\) −14554.1 5297.24i −1.08949 0.396540i −0.266055 0.963958i \(-0.585720\pi\)
−0.823430 + 0.567417i \(0.807943\pi\)
\(564\) 5087.82 + 8310.97i 0.379851 + 0.620488i
\(565\) −1484.60 + 8419.60i −0.110545 + 0.626930i
\(566\) −18077.5 −1.34250
\(567\) 3402.86 + 2304.19i 0.252040 + 0.170664i
\(568\) 19643.2 1.45108
\(569\) 374.543 2124.14i 0.0275952 0.156500i −0.967896 0.251349i \(-0.919126\pi\)
0.995492 + 0.0948491i \(0.0302369\pi\)
\(570\) 4494.76 + 7342.19i 0.330289 + 0.539528i
\(571\) −14760.6 5372.44i −1.08181 0.393747i −0.261229 0.965277i \(-0.584128\pi\)
−0.820581 + 0.571530i \(0.806350\pi\)
\(572\) −30771.4 + 25820.3i −2.24933 + 1.88741i
\(573\) −2869.71 + 1128.92i −0.209221 + 0.0823057i
\(574\) 12065.8 4391.58i 0.877379 0.319340i
\(575\) −1714.77 + 2970.07i −0.124367 + 0.215409i
\(576\) −4992.36 + 257.130i −0.361137 + 0.0186002i
\(577\) −5989.26 10373.7i −0.432125 0.748462i 0.564931 0.825138i \(-0.308903\pi\)
−0.997056 + 0.0766759i \(0.975569\pi\)
\(578\) 17832.8 + 14963.5i 1.28330 + 1.07682i
\(579\) 1472.13 + 7252.46i 0.105664 + 0.520556i
\(580\) 9433.16 + 53498.1i 0.675329 + 3.82998i
\(581\) 247.450 + 1403.36i 0.0176695 + 0.100208i
\(582\) −8019.90 2687.44i −0.571195 0.191405i
\(583\) −16337.5 13708.8i −1.16060 0.973862i
\(584\) −13903.3 24081.3i −0.985144 1.70632i
\(585\) 22696.2 9609.86i 1.60406 0.679178i
\(586\) 16903.9 29278.4i 1.19163 2.06396i
\(587\) −15576.6 + 5669.43i −1.09526 + 0.398641i −0.825566 0.564305i \(-0.809144\pi\)
−0.269692 + 0.962947i \(0.586922\pi\)
\(588\) 21980.8 + 17500.4i 1.54162 + 1.22739i
\(589\) 626.452 525.656i 0.0438243 0.0367729i
\(590\) 12008.1 + 4370.58i 0.837906 + 0.304973i
\(591\) 3999.23 102.921i 0.278352 0.00716347i
\(592\) 4956.98 28112.4i 0.344140 1.95171i
\(593\) 17790.1 1.23196 0.615981 0.787761i \(-0.288760\pi\)
0.615981 + 0.787761i \(0.288760\pi\)
\(594\) 19912.8 19515.4i 1.37547 1.34802i
\(595\) −1499.59 −0.103323
\(596\) 3335.95 18919.1i 0.229271 1.30026i
\(597\) −11275.1 + 20743.8i −0.772961 + 1.42209i
\(598\) −8086.92 2943.40i −0.553008 0.201278i
\(599\) −82.6583 + 69.3585i −0.00563827 + 0.00473107i −0.645602 0.763674i \(-0.723394\pi\)
0.639964 + 0.768405i \(0.278949\pi\)
\(600\) 4279.27 28545.3i 0.291167 1.94226i
\(601\) 2041.21 742.939i 0.138540 0.0504245i −0.271820 0.962348i \(-0.587625\pi\)
0.410360 + 0.911924i \(0.365403\pi\)
\(602\) −235.914 + 408.614i −0.0159720 + 0.0276643i
\(603\) −8026.15 2461.75i −0.542040 0.166252i
\(604\) −24004.3 41576.7i −1.61709 2.80088i
\(605\) 2690.60 + 2257.68i 0.180808 + 0.151716i
\(606\) −4956.93 + 4381.54i −0.332280 + 0.293710i
\(607\) −3759.63 21321.9i −0.251398 1.42575i −0.805152 0.593069i \(-0.797916\pi\)
0.553754 0.832680i \(-0.313195\pi\)
\(608\) 440.941 + 2500.70i 0.0294121 + 0.166804i
\(609\) −4405.40 + 3894.03i −0.293129 + 0.259104i
\(610\) −27246.1 22862.2i −1.80846 1.51748i
\(611\) 3162.78 + 5478.09i 0.209415 + 0.362717i
\(612\) 7658.85 + 2349.09i 0.505867 + 0.155158i
\(613\) 1475.96 2556.44i 0.0972490 0.168440i −0.813296 0.581850i \(-0.802329\pi\)
0.910545 + 0.413410i \(0.135662\pi\)
\(614\) 5416.53 1971.45i 0.356015 0.129579i
\(615\) −5425.93 + 36194.2i −0.355764 + 2.37316i
\(616\) −8044.96 + 6750.52i −0.526202 + 0.441536i
\(617\) 884.322 + 321.867i 0.0577009 + 0.0210014i 0.370709 0.928749i \(-0.379115\pi\)
−0.313008 + 0.949750i \(0.601337\pi\)
\(618\) 16605.5 30550.8i 1.08086 1.98856i
\(619\) 2619.16 14854.0i 0.170069 0.964511i −0.773613 0.633658i \(-0.781552\pi\)
0.943682 0.330853i \(-0.107336\pi\)
\(620\) −10481.8 −0.678966
\(621\) 3939.82 + 1098.34i 0.254589 + 0.0709743i
\(622\) −45433.3 −2.92879
\(623\) 917.016 5200.65i 0.0589718 0.334446i
\(624\) 30096.0 774.529i 1.93078 0.0496890i
\(625\) 15496.4 + 5640.23i 0.991769 + 0.360974i
\(626\) 4495.64 3772.29i 0.287032 0.240848i
\(627\) 3386.30 + 2696.07i 0.215687 + 0.171724i
\(628\) −17981.1 + 6544.58i −1.14255 + 0.415855i
\(629\) 2465.38 4270.16i 0.156282 0.270688i
\(630\) 10997.7 4656.57i 0.695491 0.294480i
\(631\) 1917.22 + 3320.72i 0.120956 + 0.209502i 0.920145 0.391578i \(-0.128071\pi\)
−0.799189 + 0.601080i \(0.794737\pi\)
\(632\) −17032.2 14291.7i −1.07200 0.899516i
\(633\) 19834.9 + 6646.58i 1.24544 + 0.417343i
\(634\) −24.7282 140.240i −0.00154902 0.00878495i
\(635\) 1204.19 + 6829.31i 0.0752549 + 0.426792i
\(636\) 9708.19 + 47827.5i 0.605275 + 2.98190i
\(637\) 13971.4 + 11723.4i 0.869023 + 0.729197i
\(638\) 19945.3 + 34546.3i 1.23769 + 2.14373i
\(639\) −11216.9 + 577.724i −0.694421 + 0.0357659i
\(640\) −14757.0 + 25559.9i −0.911441 + 1.57866i
\(641\) 23949.5 8716.91i 1.47574 0.537125i 0.526087 0.850431i \(-0.323659\pi\)
0.949652 + 0.313306i \(0.101437\pi\)
\(642\) −43363.5 + 17058.8i −2.66576 + 1.04869i
\(643\) −2158.26 + 1811.00i −0.132369 + 0.111071i −0.706569 0.707644i \(-0.749758\pi\)
0.574199 + 0.818716i \(0.305313\pi\)
\(644\) −2683.14 976.584i −0.164178 0.0597559i
\(645\) −702.174 1147.00i −0.0428652 0.0700205i
\(646\) −315.405 + 1788.75i −0.0192097 + 0.108943i
\(647\) 4835.21 0.293805 0.146902 0.989151i \(-0.453070\pi\)
0.146902 + 0.989151i \(0.453070\pi\)
\(648\) −34241.3 + 3536.55i −2.07581 + 0.214396i
\(649\) 6425.16 0.388612
\(650\) 6030.25 34199.3i 0.363886 2.06370i
\(651\) −592.339 967.587i −0.0356614 0.0582530i
\(652\) 52312.5 + 19040.2i 3.14220 + 1.14367i
\(653\) −5275.81 + 4426.93i −0.316169 + 0.265297i −0.787036 0.616907i \(-0.788386\pi\)
0.470867 + 0.882204i \(0.343941\pi\)
\(654\) −41382.1 + 16279.3i −2.47426 + 0.973350i
\(655\) 27704.4 10083.6i 1.65267 0.601524i
\(656\) −22352.5 + 38715.7i −1.33037 + 2.30426i
\(657\) 8647.52 + 13342.3i 0.513504 + 0.792288i
\(658\) 1532.56 + 2654.47i 0.0907985 + 0.157268i
\(659\) 17755.3 + 14898.5i 1.04954 + 0.880670i 0.993045 0.117733i \(-0.0375627\pi\)
0.0564962 + 0.998403i \(0.482007\pi\)
\(660\) −11036.5 54371.4i −0.650901 3.20667i
\(661\) −922.380 5231.08i −0.0542760 0.307814i 0.945569 0.325422i \(-0.105506\pi\)
−0.999845 + 0.0176073i \(0.994395\pi\)
\(662\) −9469.63 53704.9i −0.555963 3.15302i
\(663\) 4930.72 + 1652.27i 0.288829 + 0.0967854i
\(664\) −9143.81 7672.57i −0.534411 0.448424i
\(665\) 927.051 + 1605.70i 0.0540594 + 0.0936336i
\(666\) −4820.83 + 38972.3i −0.280485 + 2.26748i
\(667\) −2925.89 + 5067.78i −0.169851 + 0.294191i
\(668\) 19073.1 6942.05i 1.10473 0.402090i
\(669\) −18687.3 14878.3i −1.07996 0.859833i
\(670\) −18689.5 + 15682.3i −1.07767 + 0.904271i
\(671\) −16804.8 6116.44i −0.966828 0.351896i
\(672\) 3521.58 90.6286i 0.202154 0.00520249i
\(673\) −4766.72 + 27033.4i −0.273022 + 1.54838i 0.472154 + 0.881516i \(0.343477\pi\)
−0.745176 + 0.666868i \(0.767635\pi\)
\(674\) 26601.7 1.52027
\(675\) −1604.06 + 16426.2i −0.0914674 + 0.936658i
\(676\) 21496.6 1.22307
\(677\) −1476.95 + 8376.18i −0.0838459 + 0.475514i 0.913754 + 0.406268i \(0.133170\pi\)
−0.997600 + 0.0692452i \(0.977941\pi\)
\(678\) 6860.57 12622.0i 0.388611 0.714965i
\(679\) −1711.82 623.050i −0.0967503 0.0352142i
\(680\) 9622.36 8074.12i 0.542648 0.455336i
\(681\) 115.531 770.660i 0.00650095 0.0433653i
\(682\) −7232.78 + 2632.52i −0.406096 + 0.147807i
\(683\) 15369.6 26621.0i 0.861059 1.49140i −0.00984920 0.999951i \(-0.503135\pi\)
0.870908 0.491446i \(-0.163532\pi\)
\(684\) −2219.42 9653.02i −0.124067 0.539609i
\(685\) −14855.5 25730.6i −0.828615 1.43520i
\(686\) 14231.3 + 11941.5i 0.792061 + 0.664618i
\(687\) 20152.3 17813.1i 1.11915 0.989245i
\(688\) −285.260 1617.79i −0.0158073 0.0896477i
\(689\) 5501.09 + 31198.2i 0.304172 + 1.72505i
\(690\) 8905.76 7872.00i 0.491357 0.434322i
\(691\) −7723.56 6480.84i −0.425207 0.356791i 0.404933 0.914347i \(-0.367295\pi\)
−0.830140 + 0.557555i \(0.811739\pi\)
\(692\) −12174.0 21085.9i −0.668764 1.15833i
\(693\) 4395.40 4091.38i 0.240934 0.224270i
\(694\) −25038.3 + 43367.5i −1.36951 + 2.37206i
\(695\) −44809.6 + 16309.3i −2.44565 + 0.890142i
\(696\) 7301.65 48706.4i 0.397656 2.65260i
\(697\) −5915.31 + 4963.53i −0.321461 + 0.269738i
\(698\) 3604.72 + 1312.01i 0.195474 + 0.0711466i
\(699\) 1227.02 2257.47i 0.0663951 0.122153i
\(700\) 2000.77 11346.9i 0.108031 0.612675i
\(701\) −17040.1 −0.918108 −0.459054 0.888408i \(-0.651812\pi\)
−0.459054 + 0.888408i \(0.651812\pi\)
\(702\) −41291.8 + 3193.61i −2.22003 + 0.171702i
\(703\) −6096.43 −0.327072
\(704\) −1268.41 + 7193.52i −0.0679049 + 0.385108i
\(705\) −8733.73 + 224.765i −0.466569 + 0.0120073i
\(706\) 16285.2 + 5927.33i 0.868132 + 0.315974i
\(707\) −1091.52 + 915.892i −0.0580633 + 0.0487209i
\(708\) −11502.3 9157.82i −0.610570 0.486118i
\(709\) 35055.7 12759.2i 1.85690 0.675858i 0.875710 0.482837i \(-0.160394\pi\)
0.981195 0.193021i \(-0.0618287\pi\)
\(710\) −16320.4 + 28267.8i −0.862669 + 1.49419i
\(711\) 10146.3 + 7660.12i 0.535184 + 0.404046i
\(712\) 22117.3 + 38308.3i 1.16416 + 2.01638i
\(713\) −864.947 725.777i −0.0454313 0.0381214i
\(714\) 2389.24 + 800.625i 0.125231 + 0.0419645i
\(715\) −6253.75 35466.8i −0.327101 1.85508i
\(716\) −4345.61 24645.2i −0.226820 1.28636i
\(717\) −5966.45 29393.8i −0.310769 1.53101i
\(718\) 297.390 + 249.540i 0.0154575 + 0.0129704i
\(719\) −10784.5 18679.3i −0.559380 0.968874i −0.997548 0.0699815i \(-0.977706\pi\)
0.438168 0.898893i \(-0.355627\pi\)
\(720\) −18910.9 + 37032.2i −0.978842 + 1.91682i
\(721\) 3744.49 6485.65i 0.193415 0.335005i
\(722\) −30356.7 + 11048.9i −1.56476 + 0.569527i
\(723\) 29612.5 11649.3i 1.52324 0.599228i
\(724\) −11928.1 + 10008.8i −0.612296 + 0.513778i
\(725\) −22189.2 8076.20i −1.13667 0.413714i
\(726\) −3081.47 5033.59i −0.157526 0.257320i
\(727\) −4038.36 + 22902.7i −0.206017 + 1.16838i 0.689813 + 0.723987i \(0.257693\pi\)
−0.895831 + 0.444395i \(0.853419\pi\)
\(728\) 15599.7 0.794179
\(729\) 19448.9 3026.55i 0.988107 0.153765i
\(730\) 46206.0 2.34269
\(731\) 49.2728 279.440i 0.00249305 0.0141388i
\(732\) 21366.1 + 34901.6i 1.07884 + 1.76230i
\(733\) −17275.4 6287.72i −0.870505 0.316838i −0.132133 0.991232i \(-0.542183\pi\)
−0.738372 + 0.674394i \(0.764405\pi\)
\(734\) 46015.2 38611.3i 2.31397 1.94165i
\(735\) −23441.5 + 9221.67i −1.17640 + 0.462784i
\(736\) 3294.56 1199.12i 0.164999 0.0600547i
\(737\) −6133.51 + 10623.6i −0.306555 + 0.530968i
\(738\) 27968.9 54770.1i 1.39506 2.73187i
\(739\) 7296.65 + 12638.2i 0.363209 + 0.629096i 0.988487 0.151306i \(-0.0483478\pi\)
−0.625278 + 0.780402i \(0.715014\pi\)
\(740\) 59859.3 + 50227.9i 2.97361 + 2.49515i
\(741\) −1279.01 6301.07i −0.0634085 0.312383i
\(742\) 2665.61 + 15117.4i 0.131884 + 0.747950i
\(743\) −3626.20 20565.2i −0.179048 1.01543i −0.933367 0.358923i \(-0.883144\pi\)
0.754319 0.656508i \(-0.227967\pi\)
\(744\) 9010.55 + 3019.40i 0.444009 + 0.148786i
\(745\) 13194.1 + 11071.2i 0.648852 + 0.544451i
\(746\) −7580.30 13129.5i −0.372030 0.644375i
\(747\) 5447.08 + 4112.37i 0.266798 + 0.201424i
\(748\) 5852.83 10137.4i 0.286097 0.495535i
\(749\) −9430.80 + 3432.53i −0.460072 + 0.167453i
\(750\) −2347.86 1869.30i −0.114309 0.0910094i
\(751\) 7637.96 6409.01i 0.371123 0.311409i −0.438083 0.898935i \(-0.644342\pi\)
0.809205 + 0.587526i \(0.199898\pi\)
\(752\) −10028.1 3649.95i −0.486288 0.176994i
\(753\) 11997.6 308.762i 0.580635 0.0149428i
\(754\) 10289.3 58353.7i 0.496970 2.81846i
\(755\) 43042.5 2.07480
\(756\) −13700.1 + 1059.60i −0.659086 + 0.0509752i
\(757\) −32639.5 −1.56711 −0.783556 0.621321i \(-0.786596\pi\)
−0.783556 + 0.621321i \(0.786596\pi\)
\(758\) −4437.04 + 25163.7i −0.212613 + 1.20579i
\(759\) 2854.05 5250.86i 0.136489 0.251112i
\(760\) −14594.0 5311.80i −0.696554 0.253525i
\(761\) −20219.3 + 16966.0i −0.963138