Properties

Label 27.4.e.a.4.6
Level 27
Weight 4
Character 27.4
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 4.6
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.82340 + 0.663664i) q^{2} +(5.12138 + 0.878355i) q^{3} +(-3.24401 - 2.72205i) q^{4} +(-0.470388 + 2.66770i) q^{5} +(8.75540 + 5.00047i) q^{6} +(-9.12942 + 7.66050i) q^{7} +(-11.8703 - 20.5600i) q^{8} +(25.4570 + 8.99678i) q^{9} +O(q^{10})\) \(q+(1.82340 + 0.663664i) q^{2} +(5.12138 + 0.878355i) q^{3} +(-3.24401 - 2.72205i) q^{4} +(-0.470388 + 2.66770i) q^{5} +(8.75540 + 5.00047i) q^{6} +(-9.12942 + 7.66050i) q^{7} +(-11.8703 - 20.5600i) q^{8} +(25.4570 + 8.99678i) q^{9} +(-2.62817 + 4.55212i) q^{10} +(-3.88999 - 22.0612i) q^{11} +(-14.2229 - 16.7900i) q^{12} +(-63.1117 + 22.9708i) q^{13} +(-21.7306 + 7.90930i) q^{14} +(-4.75222 + 13.2491i) q^{15} +(-2.11657 - 12.0037i) q^{16} +(44.8404 - 77.6659i) q^{17} +(40.4475 + 33.2996i) q^{18} +(39.1643 + 67.8345i) q^{19} +(8.78755 - 7.37363i) q^{20} +(-53.4839 + 31.2134i) q^{21} +(7.54823 - 42.8081i) q^{22} +(76.3697 + 64.0818i) q^{23} +(-42.7333 - 115.722i) q^{24} +(110.566 + 40.2428i) q^{25} -130.323 q^{26} +(122.472 + 68.4362i) q^{27} +50.4682 q^{28} +(102.311 + 37.2381i) q^{29} +(-17.4582 + 21.0046i) q^{30} +(-170.780 - 143.301i) q^{31} +(-28.8731 + 163.747i) q^{32} +(-0.544499 - 116.401i) q^{33} +(133.306 - 111.857i) q^{34} +(-16.1416 - 27.9580i) q^{35} +(-58.0930 - 98.4807i) q^{36} +(-38.3904 + 66.4941i) q^{37} +(26.3929 + 149.681i) q^{38} +(-343.395 + 62.2075i) q^{39} +(60.4316 - 21.9953i) q^{40} +(-357.134 + 129.986i) q^{41} +(-118.238 + 21.4193i) q^{42} +(-80.7838 - 458.148i) q^{43} +(-47.4325 + 82.1555i) q^{44} +(-35.9754 + 63.6797i) q^{45} +(96.7239 + 167.531i) q^{46} +(289.529 - 242.944i) q^{47} +(-0.296266 - 63.3345i) q^{48} +(-34.8981 + 197.917i) q^{49} +(174.899 + 146.758i) q^{50} +(297.863 - 358.370i) q^{51} +(267.263 + 97.2756i) q^{52} -0.995976 q^{53} +(177.898 + 206.067i) q^{54} +60.6826 q^{55} +(265.869 + 96.7683i) q^{56} +(140.992 + 381.806i) q^{57} +(161.840 + 135.800i) q^{58} +(111.486 - 632.267i) q^{59} +(51.4810 - 30.0445i) q^{60} +(-282.916 + 237.395i) q^{61} +(-216.296 - 374.636i) q^{62} +(-301.327 + 112.878i) q^{63} +(-210.076 + 363.862i) q^{64} +(-31.5923 - 179.169i) q^{65} +(76.2581 - 212.606i) q^{66} +(-401.725 + 146.216i) q^{67} +(-356.873 + 129.891i) q^{68} +(334.831 + 395.267i) q^{69} +(-10.8778 - 61.6913i) q^{70} +(29.7664 - 51.5569i) q^{71} +(-117.209 - 630.189i) q^{72} +(-157.281 - 272.418i) q^{73} +(-114.131 + 95.7672i) q^{74} +(530.904 + 303.215i) q^{75} +(57.5994 - 326.663i) q^{76} +(204.513 + 171.607i) q^{77} +(-667.433 - 114.470i) q^{78} +(-164.373 - 59.8269i) q^{79} +33.0179 q^{80} +(567.116 + 458.062i) q^{81} -737.467 q^{82} +(-764.859 - 278.386i) q^{83} +(258.466 + 44.3290i) q^{84} +(186.097 + 156.154i) q^{85} +(156.755 - 889.001i) q^{86} +(491.265 + 280.576i) q^{87} +(-407.403 + 341.851i) q^{88} +(511.446 + 885.851i) q^{89} +(-107.860 + 92.2381i) q^{90} +(400.206 - 693.177i) q^{91} +(-73.3104 - 415.764i) q^{92} +(-748.757 - 883.904i) q^{93} +(689.161 - 250.834i) q^{94} +(-199.385 + 72.5701i) q^{95} +(-291.698 + 813.251i) q^{96} +(140.142 + 794.785i) q^{97} +(-194.984 + 337.722i) q^{98} +(99.4525 - 596.609i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.82340 + 0.663664i 0.644670 + 0.234641i 0.643604 0.765359i \(-0.277438\pi\)
0.00106622 + 0.999999i \(0.499661\pi\)
\(3\) 5.12138 + 0.878355i 0.985609 + 0.169040i
\(4\) −3.24401 2.72205i −0.405501 0.340256i
\(5\) −0.470388 + 2.66770i −0.0420728 + 0.238607i −0.998591 0.0530660i \(-0.983101\pi\)
0.956518 + 0.291673i \(0.0942118\pi\)
\(6\) 8.75540 + 5.00047i 0.595729 + 0.340239i
\(7\) −9.12942 + 7.66050i −0.492943 + 0.413628i −0.855079 0.518497i \(-0.826492\pi\)
0.362137 + 0.932125i \(0.382047\pi\)
\(8\) −11.8703 20.5600i −0.524598 0.908631i
\(9\) 25.4570 + 8.99678i 0.942851 + 0.333214i
\(10\) −2.62817 + 4.55212i −0.0831099 + 0.143951i
\(11\) −3.88999 22.0612i −0.106625 0.604701i −0.990559 0.137088i \(-0.956226\pi\)
0.883934 0.467612i \(-0.154886\pi\)
\(12\) −14.2229 16.7900i −0.342149 0.403905i
\(13\) −63.1117 + 22.9708i −1.34647 + 0.490073i −0.911843 0.410540i \(-0.865340\pi\)
−0.434622 + 0.900613i \(0.643118\pi\)
\(14\) −21.7306 + 7.90930i −0.414839 + 0.150989i
\(15\) −4.75222 + 13.2491i −0.0818013 + 0.228061i
\(16\) −2.11657 12.0037i −0.0330715 0.187558i
\(17\) 44.8404 77.6659i 0.639729 1.10804i −0.345763 0.938322i \(-0.612380\pi\)
0.985492 0.169722i \(-0.0542869\pi\)
\(18\) 40.4475 + 33.2996i 0.529643 + 0.436044i
\(19\) 39.1643 + 67.8345i 0.472889 + 0.819068i 0.999519 0.0310268i \(-0.00987773\pi\)
−0.526629 + 0.850095i \(0.676544\pi\)
\(20\) 8.78755 7.37363i 0.0982478 0.0824397i
\(21\) −53.4839 + 31.2134i −0.555768 + 0.324349i
\(22\) 7.54823 42.8081i 0.0731494 0.414851i
\(23\) 76.3697 + 64.0818i 0.692356 + 0.580956i 0.919588 0.392885i \(-0.128523\pi\)
−0.227232 + 0.973841i \(0.572967\pi\)
\(24\) −42.7333 115.722i −0.363454 0.984233i
\(25\) 110.566 + 40.2428i 0.884530 + 0.321942i
\(26\) −130.323 −0.983017
\(27\) 122.472 + 68.4362i 0.872957 + 0.487798i
\(28\) 50.4682 0.340628
\(29\) 102.311 + 37.2381i 0.655126 + 0.238447i 0.648131 0.761529i \(-0.275551\pi\)
0.00699560 + 0.999976i \(0.497773\pi\)
\(30\) −17.4582 + 21.0046i −0.106247 + 0.127830i
\(31\) −170.780 143.301i −0.989449 0.830246i −0.00396118 0.999992i \(-0.501261\pi\)
−0.985488 + 0.169746i \(0.945705\pi\)
\(32\) −28.8731 + 163.747i −0.159503 + 0.904585i
\(33\) −0.544499 116.401i −0.00287228 0.614022i
\(34\) 133.306 111.857i 0.672407 0.564216i
\(35\) −16.1416 27.9580i −0.0779549 0.135022i
\(36\) −58.0930 98.4807i −0.268949 0.455929i
\(37\) −38.3904 + 66.4941i −0.170577 + 0.295448i −0.938622 0.344948i \(-0.887896\pi\)
0.768045 + 0.640396i \(0.221230\pi\)
\(38\) 26.3929 + 149.681i 0.112671 + 0.638988i
\(39\) −343.395 + 62.2075i −1.40993 + 0.255415i
\(40\) 60.4316 21.9953i 0.238877 0.0869440i
\(41\) −357.134 + 129.986i −1.36037 + 0.495133i −0.916167 0.400796i \(-0.868734\pi\)
−0.444198 + 0.895928i \(0.646511\pi\)
\(42\) −118.238 + 21.4193i −0.434393 + 0.0786921i
\(43\) −80.7838 458.148i −0.286498 1.62481i −0.699885 0.714255i \(-0.746766\pi\)
0.413387 0.910555i \(-0.364346\pi\)
\(44\) −47.4325 + 82.1555i −0.162516 + 0.281486i
\(45\) −35.9754 + 63.6797i −0.119175 + 0.210951i
\(46\) 96.7239 + 167.531i 0.310025 + 0.536980i
\(47\) 289.529 242.944i 0.898556 0.753978i −0.0713514 0.997451i \(-0.522731\pi\)
0.969908 + 0.243473i \(0.0782867\pi\)
\(48\) −0.296266 63.3345i −0.000890883 0.190449i
\(49\) −34.8981 + 197.917i −0.101744 + 0.577018i
\(50\) 174.899 + 146.758i 0.494689 + 0.415093i
\(51\) 297.863 358.370i 0.817827 0.983959i
\(52\) 267.263 + 97.2756i 0.712743 + 0.259417i
\(53\) −0.995976 −0.00258128 −0.00129064 0.999999i \(-0.500411\pi\)
−0.00129064 + 0.999999i \(0.500411\pi\)
\(54\) 177.898 + 206.067i 0.448312 + 0.519300i
\(55\) 60.6826 0.148772
\(56\) 265.869 + 96.7683i 0.634432 + 0.230914i
\(57\) 140.992 + 381.806i 0.327629 + 0.887218i
\(58\) 161.840 + 135.800i 0.366391 + 0.307439i
\(59\) 111.486 632.267i 0.246003 1.39515i −0.572148 0.820151i \(-0.693890\pi\)
0.818151 0.575003i \(-0.194999\pi\)
\(60\) 51.4810 30.0445i 0.110770 0.0646456i
\(61\) −282.916 + 237.395i −0.593831 + 0.498284i −0.889456 0.457021i \(-0.848917\pi\)
0.295625 + 0.955304i \(0.404472\pi\)
\(62\) −216.296 374.636i −0.443059 0.767400i
\(63\) −301.327 + 112.878i −0.602598 + 0.225734i
\(64\) −210.076 + 363.862i −0.410304 + 0.710668i
\(65\) −31.5923 179.169i −0.0602852 0.341894i
\(66\) 76.2581 212.606i 0.142223 0.396516i
\(67\) −401.725 + 146.216i −0.732515 + 0.266614i −0.681229 0.732070i \(-0.738554\pi\)
−0.0512858 + 0.998684i \(0.516332\pi\)
\(68\) −356.873 + 129.891i −0.636429 + 0.231641i
\(69\) 334.831 + 395.267i 0.584188 + 0.689631i
\(70\) −10.8778 61.6913i −0.0185736 0.105336i
\(71\) 29.7664 51.5569i 0.0497552 0.0861786i −0.840075 0.542470i \(-0.817489\pi\)
0.889830 + 0.456291i \(0.150823\pi\)
\(72\) −117.209 630.189i −0.191850 1.03151i
\(73\) −157.281 272.418i −0.252169 0.436769i 0.711954 0.702226i \(-0.247810\pi\)
−0.964123 + 0.265457i \(0.914477\pi\)
\(74\) −114.131 + 95.7672i −0.179290 + 0.150442i
\(75\) 530.904 + 303.215i 0.817380 + 0.466830i
\(76\) 57.5994 326.663i 0.0869356 0.493036i
\(77\) 204.513 + 171.607i 0.302681 + 0.253980i
\(78\) −667.433 114.470i −0.968871 0.166169i
\(79\) −164.373 59.8269i −0.234094 0.0852032i 0.222310 0.974976i \(-0.428640\pi\)
−0.456403 + 0.889773i \(0.650863\pi\)
\(80\) 33.0179 0.0461439
\(81\) 567.116 + 458.062i 0.777937 + 0.628342i
\(82\) −737.467 −0.993166
\(83\) −764.859 278.386i −1.01150 0.368155i −0.217489 0.976063i \(-0.569787\pi\)
−0.794007 + 0.607908i \(0.792009\pi\)
\(84\) 258.466 + 44.3290i 0.335726 + 0.0575796i
\(85\) 186.097 + 156.154i 0.237471 + 0.199262i
\(86\) 156.755 889.001i 0.196550 1.11469i
\(87\) 491.265 + 280.576i 0.605392 + 0.345757i
\(88\) −407.403 + 341.851i −0.493514 + 0.414108i
\(89\) 511.446 + 885.851i 0.609137 + 1.05506i 0.991383 + 0.130996i \(0.0418174\pi\)
−0.382246 + 0.924061i \(0.624849\pi\)
\(90\) −107.860 + 92.2381i −0.126327 + 0.108031i
\(91\) 400.206 693.177i 0.461022 0.798514i
\(92\) −73.3104 415.764i −0.0830775 0.471156i
\(93\) −748.757 883.904i −0.834866 0.985555i
\(94\) 689.161 250.834i 0.756187 0.275229i
\(95\) −199.385 + 72.5701i −0.215331 + 0.0783740i
\(96\) −291.698 + 813.251i −0.310118 + 0.864605i
\(97\) 140.142 + 794.785i 0.146693 + 0.831940i 0.965992 + 0.258572i \(0.0832521\pi\)
−0.819298 + 0.573367i \(0.805637\pi\)
\(98\) −194.984 + 337.722i −0.200983 + 0.348113i
\(99\) 99.4525 596.609i 0.100963 0.605672i
\(100\) −249.135 431.514i −0.249135 0.431514i
\(101\) −1271.64 + 1067.03i −1.25280 + 1.05123i −0.256393 + 0.966573i \(0.582534\pi\)
−0.996410 + 0.0846544i \(0.973021\pi\)
\(102\) 780.962 455.773i 0.758105 0.442433i
\(103\) −19.4320 + 110.204i −0.0185893 + 0.105425i −0.992691 0.120687i \(-0.961490\pi\)
0.974101 + 0.226112i \(0.0726014\pi\)
\(104\) 1221.43 + 1024.91i 1.15165 + 0.966349i
\(105\) −58.1099 157.361i −0.0540090 0.146256i
\(106\) −1.81607 0.660994i −0.00166407 0.000605674i
\(107\) 1525.97 1.37870 0.689351 0.724428i \(-0.257896\pi\)
0.689351 + 0.724428i \(0.257896\pi\)
\(108\) −211.015 555.383i −0.188009 0.494831i
\(109\) 1838.03 1.61515 0.807573 0.589767i \(-0.200781\pi\)
0.807573 + 0.589767i \(0.200781\pi\)
\(110\) 110.649 + 40.2729i 0.0959086 + 0.0349079i
\(111\) −255.017 + 306.821i −0.218064 + 0.262362i
\(112\) 111.277 + 93.3727i 0.0938814 + 0.0787758i
\(113\) 265.502 1505.73i 0.221029 1.25352i −0.649103 0.760700i \(-0.724856\pi\)
0.870132 0.492818i \(-0.164033\pi\)
\(114\) 3.69433 + 789.758i 0.00303514 + 0.648838i
\(115\) −206.875 + 173.588i −0.167749 + 0.140758i
\(116\) −230.534 399.296i −0.184522 0.319601i
\(117\) −1813.30 + 16.9649i −1.43282 + 0.0134052i
\(118\) 622.896 1078.89i 0.485951 0.841692i
\(119\) 185.592 + 1052.54i 0.142968 + 0.810812i
\(120\) 328.812 59.5657i 0.250136 0.0453132i
\(121\) 779.166 283.593i 0.585399 0.213068i
\(122\) −673.421 + 245.105i −0.499743 + 0.181892i
\(123\) −1943.19 + 352.018i −1.42449 + 0.258052i
\(124\) 163.938 + 929.740i 0.118727 + 0.673331i
\(125\) −328.668 + 569.270i −0.235176 + 0.407337i
\(126\) −624.354 + 5.84134i −0.441444 + 0.00413007i
\(127\) −307.885 533.273i −0.215121 0.372601i 0.738189 0.674594i \(-0.235681\pi\)
−0.953310 + 0.301993i \(0.902348\pi\)
\(128\) 394.447 330.980i 0.272379 0.228553i
\(129\) −11.3077 2417.30i −0.00771772 1.64986i
\(130\) 61.3024 347.663i 0.0413583 0.234554i
\(131\) 570.558 + 478.755i 0.380534 + 0.319306i 0.812912 0.582387i \(-0.197881\pi\)
−0.432378 + 0.901692i \(0.642325\pi\)
\(132\) −315.081 + 379.087i −0.207760 + 0.249964i
\(133\) −877.193 319.272i −0.571897 0.208153i
\(134\) −829.544 −0.534789
\(135\) −240.177 + 294.528i −0.153120 + 0.187770i
\(136\) −2129.08 −1.34240
\(137\) −1522.72 554.226i −0.949599 0.345626i −0.179650 0.983731i \(-0.557496\pi\)
−0.769950 + 0.638105i \(0.779719\pi\)
\(138\) 348.208 + 942.946i 0.214793 + 0.581659i
\(139\) 587.030 + 492.576i 0.358210 + 0.300574i 0.804077 0.594525i \(-0.202660\pi\)
−0.445867 + 0.895099i \(0.647104\pi\)
\(140\) −23.7396 + 134.634i −0.0143312 + 0.0812761i
\(141\) 1696.18 989.897i 1.01308 0.591236i
\(142\) 88.4926 74.2541i 0.0522967 0.0438822i
\(143\) 752.268 + 1302.97i 0.439914 + 0.761954i
\(144\) 54.1129 324.620i 0.0313153 0.187859i
\(145\) −147.466 + 255.419i −0.0844579 + 0.146285i
\(146\) −105.992 601.110i −0.0600818 0.340741i
\(147\) −352.568 + 982.955i −0.197819 + 0.551516i
\(148\) 305.539 111.207i 0.169697 0.0617646i
\(149\) −1030.41 + 375.040i −0.566543 + 0.206205i −0.609381 0.792877i \(-0.708582\pi\)
0.0428386 + 0.999082i \(0.486360\pi\)
\(150\) 766.818 + 905.225i 0.417403 + 0.492742i
\(151\) −171.346 971.751i −0.0923439 0.523708i −0.995529 0.0944569i \(-0.969889\pi\)
0.903185 0.429251i \(-0.141223\pi\)
\(152\) 929.783 1610.43i 0.496154 0.859364i
\(153\) 1840.24 1573.72i 0.972385 0.831554i
\(154\) 259.021 + 448.637i 0.135536 + 0.234754i
\(155\) 462.617 388.182i 0.239731 0.201158i
\(156\) 1283.31 + 732.937i 0.658635 + 0.376166i
\(157\) −391.084 + 2217.95i −0.198802 + 1.12746i 0.708098 + 0.706114i \(0.249553\pi\)
−0.906900 + 0.421346i \(0.861558\pi\)
\(158\) −260.013 218.177i −0.130921 0.109856i
\(159\) −5.10077 0.874821i −0.00254413 0.000436339i
\(160\) −423.248 154.050i −0.209129 0.0761168i
\(161\) −1188.11 −0.581591
\(162\) 730.082 + 1211.61i 0.354078 + 0.587609i
\(163\) 84.6969 0.0406992 0.0203496 0.999793i \(-0.493522\pi\)
0.0203496 + 0.999793i \(0.493522\pi\)
\(164\) 1512.37 + 550.459i 0.720101 + 0.262095i
\(165\) 310.778 + 53.3009i 0.146631 + 0.0251483i
\(166\) −1209.89 1015.22i −0.565698 0.474677i
\(167\) 539.897 3061.91i 0.250170 1.41879i −0.558001 0.829840i \(-0.688432\pi\)
0.808172 0.588947i \(-0.200457\pi\)
\(168\) 1276.62 + 729.114i 0.586269 + 0.334836i
\(169\) 1772.43 1487.25i 0.806752 0.676946i
\(170\) 235.696 + 408.238i 0.106336 + 0.184179i
\(171\) 386.712 + 2079.21i 0.172939 + 0.929833i
\(172\) −985.036 + 1706.13i −0.436676 + 0.756345i
\(173\) 80.8272 + 458.394i 0.0355213 + 0.201451i 0.997404 0.0720120i \(-0.0229420\pi\)
−0.961883 + 0.273463i \(0.911831\pi\)
\(174\) 709.565 + 837.638i 0.309149 + 0.364949i
\(175\) −1317.69 + 479.598i −0.569187 + 0.207167i
\(176\) −256.582 + 93.3884i −0.109890 + 0.0399967i
\(177\) 1126.31 3140.15i 0.478299 1.33349i
\(178\) 344.665 + 1954.69i 0.145133 + 0.823092i
\(179\) −182.127 + 315.453i −0.0760491 + 0.131721i −0.901542 0.432692i \(-0.857564\pi\)
0.825493 + 0.564413i \(0.190897\pi\)
\(180\) 290.043 108.651i 0.120103 0.0449908i
\(181\) 566.151 + 980.602i 0.232495 + 0.402694i 0.958542 0.284952i \(-0.0919776\pi\)
−0.726047 + 0.687646i \(0.758644\pi\)
\(182\) 1189.77 998.339i 0.484571 0.406603i
\(183\) −1657.44 + 967.287i −0.669515 + 0.390732i
\(184\) 410.988 2330.83i 0.164666 0.933865i
\(185\) −159.328 133.692i −0.0633191 0.0531311i
\(186\) −778.670 2108.64i −0.306962 0.831251i
\(187\) −1887.83 687.115i −0.738246 0.268700i
\(188\) −1600.54 −0.620911
\(189\) −1642.36 + 313.417i −0.632084 + 0.120623i
\(190\) −411.721 −0.157207
\(191\) 802.031 + 291.915i 0.303837 + 0.110588i 0.489440 0.872037i \(-0.337201\pi\)
−0.185602 + 0.982625i \(0.559424\pi\)
\(192\) −1395.48 + 1678.95i −0.524531 + 0.631083i
\(193\) 940.060 + 788.804i 0.350606 + 0.294194i 0.801033 0.598620i \(-0.204284\pi\)
−0.450427 + 0.892813i \(0.648728\pi\)
\(194\) −271.935 + 1542.22i −0.100638 + 0.570747i
\(195\) −4.42211 945.339i −0.00162397 0.347165i
\(196\) 651.950 547.051i 0.237591 0.199362i
\(197\) −1699.66 2943.90i −0.614700 1.06469i −0.990437 0.137965i \(-0.955944\pi\)
0.375737 0.926726i \(-0.377390\pi\)
\(198\) 577.290 1021.86i 0.207203 0.366768i
\(199\) −1604.48 + 2779.04i −0.571550 + 0.989954i 0.424857 + 0.905261i \(0.360324\pi\)
−0.996407 + 0.0846936i \(0.973009\pi\)
\(200\) −485.064 2750.93i −0.171496 0.972602i
\(201\) −2185.81 + 395.969i −0.767041 + 0.138953i
\(202\) −3026.87 + 1101.69i −1.05431 + 0.383736i
\(203\) −1219.30 + 443.790i −0.421568 + 0.153438i
\(204\) −1941.77 + 351.760i −0.666427 + 0.120726i
\(205\) −178.773 1013.87i −0.0609075 0.345424i
\(206\) −108.571 + 188.051i −0.0367209 + 0.0636025i
\(207\) 1367.61 + 2318.41i 0.459206 + 0.778457i
\(208\) 409.315 + 708.954i 0.136447 + 0.236332i
\(209\) 1344.16 1127.89i 0.444869 0.373290i
\(210\) −1.52262 325.499i −0.000500337 0.106960i
\(211\) 236.185 1339.47i 0.0770600 0.437029i −0.921729 0.387834i \(-0.873223\pi\)
0.998789 0.0491949i \(-0.0156655\pi\)
\(212\) 3.23096 + 2.71109i 0.00104671 + 0.000878296i
\(213\) 197.730 237.897i 0.0636068 0.0765278i
\(214\) 2782.46 + 1012.73i 0.888808 + 0.323500i
\(215\) 1260.20 0.399744
\(216\) −46.7395 3330.39i −0.0147232 1.04909i
\(217\) 2656.88 0.831155
\(218\) 3351.46 + 1219.83i 1.04124 + 0.378979i
\(219\) −566.214 1533.30i −0.174709 0.473110i
\(220\) −196.855 165.181i −0.0603270 0.0506204i
\(221\) −1045.91 + 5931.65i −0.318351 + 1.80546i
\(222\) −668.625 + 390.212i −0.202140 + 0.117970i
\(223\) 3380.21 2836.33i 1.01505 0.851725i 0.0260491 0.999661i \(-0.491707\pi\)
0.988997 + 0.147936i \(0.0472629\pi\)
\(224\) −990.791 1716.10i −0.295536 0.511883i
\(225\) 2452.63 + 2019.20i 0.726704 + 0.598281i
\(226\) 1483.42 2569.36i 0.436617 0.756244i
\(227\) 746.356 + 4232.80i 0.218226 + 1.23762i 0.875219 + 0.483726i \(0.160717\pi\)
−0.656993 + 0.753897i \(0.728172\pi\)
\(228\) 581.914 1622.37i 0.169027 0.471246i
\(229\) 207.521 75.5316i 0.0598839 0.0217959i −0.311905 0.950113i \(-0.600967\pi\)
0.371788 + 0.928317i \(0.378745\pi\)
\(230\) −492.420 + 179.226i −0.141171 + 0.0513819i
\(231\) 896.657 + 1058.50i 0.255393 + 0.301490i
\(232\) −448.847 2545.54i −0.127018 0.720357i
\(233\) 40.7671 70.6107i 0.0114624 0.0198535i −0.860237 0.509894i \(-0.829685\pi\)
0.871700 + 0.490040i \(0.163018\pi\)
\(234\) −3317.63 1172.49i −0.926839 0.327555i
\(235\) 511.911 + 886.655i 0.142099 + 0.246123i
\(236\) −2082.72 + 1747.61i −0.574464 + 0.482032i
\(237\) −789.267 450.774i −0.216322 0.123548i
\(238\) −360.127 + 2042.38i −0.0980823 + 0.556253i
\(239\) 1215.74 + 1020.13i 0.329036 + 0.276094i 0.792307 0.610123i \(-0.208880\pi\)
−0.463271 + 0.886217i \(0.653324\pi\)
\(240\) 169.097 + 29.0014i 0.0454798 + 0.00780014i
\(241\) 283.355 + 103.133i 0.0757365 + 0.0275658i 0.379611 0.925146i \(-0.376058\pi\)
−0.303874 + 0.952712i \(0.598280\pi\)
\(242\) 1608.94 0.427383
\(243\) 2502.07 + 2844.04i 0.660527 + 0.750802i
\(244\) 1563.98 0.410343
\(245\) −511.569 186.196i −0.133400 0.0485535i
\(246\) −3776.84 647.758i −0.978873 0.167884i
\(247\) −4029.94 3381.52i −1.03813 0.871097i
\(248\) −919.061 + 5212.25i −0.235324 + 1.33459i
\(249\) −3672.61 2097.54i −0.934707 0.533839i
\(250\) −977.099 + 819.884i −0.247189 + 0.207416i
\(251\) −190.883 330.619i −0.0480017 0.0831415i 0.841026 0.540994i \(-0.181952\pi\)
−0.889028 + 0.457853i \(0.848619\pi\)
\(252\) 1284.77 + 454.051i 0.321162 + 0.113502i
\(253\) 1116.65 1934.09i 0.277482 0.480612i
\(254\) −207.485 1176.70i −0.0512549 0.290681i
\(255\) 815.915 + 963.183i 0.200371 + 0.236537i
\(256\) 4097.40 1491.33i 1.00034 0.364095i
\(257\) 4491.22 1634.67i 1.09010 0.396762i 0.266439 0.963852i \(-0.414153\pi\)
0.823656 + 0.567089i \(0.191931\pi\)
\(258\) 1583.66 4415.22i 0.382149 1.06543i
\(259\) −158.896 901.142i −0.0381208 0.216194i
\(260\) −385.220 + 667.220i −0.0918858 + 0.159151i
\(261\) 2269.50 + 1868.44i 0.538233 + 0.443117i
\(262\) 722.625 + 1251.62i 0.170397 + 0.295136i
\(263\) −450.407 + 377.936i −0.105602 + 0.0886105i −0.694060 0.719917i \(-0.744180\pi\)
0.588458 + 0.808528i \(0.299735\pi\)
\(264\) −2386.73 + 1392.91i −0.556413 + 0.324725i
\(265\) 0.468495 2.65697i 0.000108602 0.000615911i
\(266\) −1387.59 1164.32i −0.319844 0.268381i
\(267\) 1841.22 + 4986.01i 0.422025 + 1.14284i
\(268\) 1701.20 + 619.188i 0.387752 + 0.141130i
\(269\) −3125.47 −0.708413 −0.354206 0.935167i \(-0.615249\pi\)
−0.354206 + 0.935167i \(0.615249\pi\)
\(270\) −633.407 + 377.647i −0.142770 + 0.0851218i
\(271\) 153.883 0.0344935 0.0172467 0.999851i \(-0.494510\pi\)
0.0172467 + 0.999851i \(0.494510\pi\)
\(272\) −1027.18 373.865i −0.228979 0.0833415i
\(273\) 2658.46 3198.50i 0.589368 0.709091i
\(274\) −2408.72 2021.16i −0.531081 0.445629i
\(275\) 457.704 2595.77i 0.100366 0.569203i
\(276\) −10.2616 2193.68i −0.00223795 0.478419i
\(277\) −6029.51 + 5059.36i −1.30786 + 1.09743i −0.319136 + 0.947709i \(0.603393\pi\)
−0.988728 + 0.149720i \(0.952163\pi\)
\(278\) 743.486 + 1287.76i 0.160400 + 0.277822i
\(279\) −3058.29 5184.48i −0.656254 1.11250i
\(280\) −383.210 + 663.740i −0.0817900 + 0.141664i
\(281\) −89.6875 508.643i −0.0190402 0.107983i 0.973807 0.227378i \(-0.0730154\pi\)
−0.992847 + 0.119396i \(0.961904\pi\)
\(282\) 3749.77 679.287i 0.791829 0.143443i
\(283\) −3744.12 + 1362.75i −0.786448 + 0.286244i −0.703859 0.710340i \(-0.748541\pi\)
−0.0825895 + 0.996584i \(0.526319\pi\)
\(284\) −236.903 + 86.2255i −0.0494986 + 0.0180160i
\(285\) −1084.87 + 196.528i −0.225480 + 0.0408467i
\(286\) 506.955 + 2875.08i 0.104814 + 0.594431i
\(287\) 2264.67 3922.53i 0.465782 0.806757i
\(288\) −2208.22 + 3908.75i −0.451807 + 0.799740i
\(289\) −1564.83 2710.36i −0.318508 0.551671i
\(290\) −438.403 + 367.863i −0.0887720 + 0.0744886i
\(291\) 19.6163 + 4193.48i 0.00395165 + 0.844764i
\(292\) −231.315 + 1311.85i −0.0463585 + 0.262912i
\(293\) −5284.93 4434.58i −1.05375 0.884201i −0.0602672 0.998182i \(-0.519195\pi\)
−0.993483 + 0.113981i \(0.963640\pi\)
\(294\) −1295.23 + 1558.34i −0.256936 + 0.309129i
\(295\) 1634.26 + 594.821i 0.322543 + 0.117396i
\(296\) 1822.82 0.357937
\(297\) 1033.37 2968.11i 0.201893 0.579889i
\(298\) −2127.76 −0.413617
\(299\) −6291.84 2290.04i −1.21694 0.442931i
\(300\) −896.891 2428.78i −0.172607 0.467418i
\(301\) 4247.15 + 3563.78i 0.813294 + 0.682435i
\(302\) 332.484 1885.61i 0.0633520 0.359287i
\(303\) −7449.79 + 4347.73i −1.41247 + 0.824326i
\(304\) 731.370 613.692i 0.137983 0.115782i
\(305\) −500.219 866.404i −0.0939096 0.162656i
\(306\) 4399.93 1648.22i 0.821984 0.307917i
\(307\) −2277.90 + 3945.44i −0.423474 + 0.733479i −0.996277 0.0862148i \(-0.972523\pi\)
0.572802 + 0.819693i \(0.305856\pi\)
\(308\) −196.320 1113.39i −0.0363195 0.205978i
\(309\) −196.317 + 547.330i −0.0361427 + 0.100765i
\(310\) 1101.16 400.790i 0.201747 0.0734301i
\(311\) 9326.41 3394.53i 1.70049 0.618927i 0.704608 0.709597i \(-0.251123\pi\)
0.995881 + 0.0906698i \(0.0289008\pi\)
\(312\) 5355.20 + 6321.78i 0.971725 + 1.14712i
\(313\) −55.7874 316.386i −0.0100744 0.0571348i 0.979356 0.202142i \(-0.0647904\pi\)
−0.989431 + 0.145008i \(0.953679\pi\)
\(314\) −2185.07 + 3784.66i −0.392710 + 0.680193i
\(315\) −159.383 856.948i −0.0285087 0.153281i
\(316\) 370.376 + 641.510i 0.0659344 + 0.114202i
\(317\) 5963.31 5003.81i 1.05657 0.886569i 0.0628021 0.998026i \(-0.479996\pi\)
0.993769 + 0.111457i \(0.0355519\pi\)
\(318\) −8.72017 4.98035i −0.00153774 0.000878252i
\(319\) 423.530 2401.96i 0.0743359 0.421580i
\(320\) −871.859 731.576i −0.152307 0.127801i
\(321\) 7815.07 + 1340.34i 1.35886 + 0.233055i
\(322\) −2166.40 788.506i −0.374935 0.136465i
\(323\) 7024.57 1.21008
\(324\) −592.864 3029.67i −0.101657 0.519491i
\(325\) −7902.44 −1.34876
\(326\) 154.437 + 56.2103i 0.0262376 + 0.00954969i
\(327\) 9413.22 + 1614.44i 1.59190 + 0.273024i
\(328\) 6911.81 + 5799.69i 1.16354 + 0.976325i
\(329\) −782.164 + 4435.87i −0.131070 + 0.743336i
\(330\) 531.300 + 303.441i 0.0886276 + 0.0506179i
\(331\) −5277.52 + 4428.36i −0.876370 + 0.735362i −0.965430 0.260664i \(-0.916058\pi\)
0.0890590 + 0.996026i \(0.471614\pi\)
\(332\) 1723.43 + 2985.07i 0.284896 + 0.493455i
\(333\) −1575.54 + 1347.35i −0.259276 + 0.221725i
\(334\) 3016.53 5224.78i 0.494183 0.855950i
\(335\) −201.094 1140.46i −0.0327968 0.186000i
\(336\) 487.878 + 575.938i 0.0792141 + 0.0935119i
\(337\) 4167.84 1516.97i 0.673699 0.245206i 0.0175593 0.999846i \(-0.494410\pi\)
0.656140 + 0.754639i \(0.272188\pi\)
\(338\) 4218.90 1535.55i 0.678928 0.247110i
\(339\) 2682.30 7478.23i 0.429743 1.19812i
\(340\) −178.642 1013.13i −0.0284948 0.161602i
\(341\) −2497.07 + 4325.04i −0.396550 + 0.686845i
\(342\) −674.768 + 4047.89i −0.106688 + 0.640014i
\(343\) −3241.42 5614.30i −0.510262 0.883800i
\(344\) −8460.58 + 7099.27i −1.32606 + 1.11269i
\(345\) −1211.95 + 707.302i −0.189129 + 0.110376i
\(346\) −156.839 + 889.479i −0.0243691 + 0.138204i
\(347\) −9392.82 7881.51i −1.45312 1.21931i −0.930263 0.366894i \(-0.880421\pi\)
−0.522858 0.852420i \(-0.675134\pi\)
\(348\) −829.926 2247.44i −0.127841 0.346193i
\(349\) 1132.53 + 412.208i 0.173705 + 0.0632234i 0.427409 0.904059i \(-0.359427\pi\)
−0.253704 + 0.967282i \(0.581649\pi\)
\(350\) −2720.96 −0.415548
\(351\) −9301.48 1505.84i −1.41446 0.228990i
\(352\) 3724.78 0.564010
\(353\) 452.132 + 164.563i 0.0681716 + 0.0248124i 0.375881 0.926668i \(-0.377340\pi\)
−0.307709 + 0.951480i \(0.599562\pi\)
\(354\) 4137.73 4978.26i 0.621237 0.747434i
\(355\) 123.537 + 103.660i 0.0184694 + 0.0154977i
\(356\) 752.191 4265.89i 0.111983 0.635089i
\(357\) 25.9782 + 5553.49i 0.00385129 + 0.823311i
\(358\) −541.445 + 454.326i −0.0799337 + 0.0670723i
\(359\) 2984.85 + 5169.92i 0.438815 + 0.760050i 0.997598 0.0692637i \(-0.0220650\pi\)
−0.558783 + 0.829314i \(0.688732\pi\)
\(360\) 1736.29 16.2444i 0.254196 0.00237821i
\(361\) 361.822 626.695i 0.0527515 0.0913683i
\(362\) 381.530 + 2163.77i 0.0553944 + 0.314158i
\(363\) 4239.50 768.003i 0.612991 0.111046i
\(364\) −3185.13 + 1159.29i −0.458644 + 0.166933i
\(365\) 800.714 291.436i 0.114825 0.0417930i
\(366\) −3664.13 + 663.772i −0.523298 + 0.0947977i
\(367\) −723.679 4104.19i −0.102931 0.583752i −0.992026 0.126030i \(-0.959777\pi\)
0.889095 0.457722i \(-0.151335\pi\)
\(368\) 607.576 1052.35i 0.0860654 0.149070i
\(369\) −10261.0 + 96.0002i −1.44761 + 0.0135436i
\(370\) −201.793 349.515i −0.0283532 0.0491093i
\(371\) 9.09269 7.62967i 0.00127242 0.00106769i
\(372\) 22.9472 + 4905.54i 0.00319827 + 0.683711i
\(373\) −261.404 + 1482.50i −0.0362868 + 0.205793i −0.997561 0.0698013i \(-0.977763\pi\)
0.961274 + 0.275594i \(0.0888746\pi\)
\(374\) −2986.27 2505.77i −0.412877 0.346445i
\(375\) −2183.26 + 2626.76i −0.300648 + 0.361721i
\(376\) −8431.71 3068.89i −1.15647 0.420920i
\(377\) −7312.41 −0.998961
\(378\) −3202.68 518.489i −0.435789 0.0705508i
\(379\) 2159.41 0.292669 0.146334 0.989235i \(-0.453252\pi\)
0.146334 + 0.989235i \(0.453252\pi\)
\(380\) 844.344 + 307.316i 0.113984 + 0.0414868i
\(381\) −1108.39 3001.52i −0.149041 0.403603i
\(382\) 1268.69 + 1064.56i 0.169926 + 0.142585i
\(383\) −1336.89 + 7581.86i −0.178359 + 1.01153i 0.755835 + 0.654762i \(0.227231\pi\)
−0.934194 + 0.356764i \(0.883880\pi\)
\(384\) 2310.83 1348.61i 0.307094 0.179221i
\(385\) −553.997 + 464.859i −0.0733358 + 0.0615361i
\(386\) 1190.61 + 2062.19i 0.156996 + 0.271924i
\(387\) 2065.34 12389.8i 0.271285 1.62742i
\(388\) 1708.82 2959.76i 0.223588 0.387266i
\(389\) 1052.20 + 5967.31i 0.137143 + 0.777775i 0.973344 + 0.229352i \(0.0736607\pi\)
−0.836201 + 0.548423i \(0.815228\pi\)
\(390\) 619.324 1726.67i 0.0804121 0.224188i
\(391\) 8401.42 3057.87i 1.08664 0.395506i
\(392\) 4483.42 1631.83i 0.577671 0.210255i
\(393\) 2501.53 + 2953.04i 0.321082 + 0.379036i
\(394\) −1145.41 6495.92i −0.146459 0.830609i
\(395\) 236.919 410.357i 0.0301790 0.0522716i
\(396\) −1946.62 + 1664.69i −0.247024 + 0.211247i
\(397\) −1243.55 2153.89i −0.157209 0.272293i 0.776652 0.629929i \(-0.216916\pi\)
−0.933861 + 0.357636i \(0.883583\pi\)
\(398\) −4769.96 + 4002.47i −0.600745 + 0.504085i
\(399\) −4212.00 2405.60i −0.528481 0.301831i
\(400\) 249.040 1412.38i 0.0311301 0.176547i
\(401\) 9077.73 + 7617.12i 1.13047 + 0.948581i 0.999086 0.0427502i \(-0.0136120\pi\)
0.131389 + 0.991331i \(0.458056\pi\)
\(402\) −4248.41 728.635i −0.527093 0.0904005i
\(403\) 14069.9 + 5121.04i 1.73914 + 0.632995i
\(404\) 7029.74 0.865699
\(405\) −1488.74 + 1297.43i −0.182657 + 0.159185i
\(406\) −2517.81 −0.307775
\(407\) 1616.28 + 588.277i 0.196845 + 0.0716458i
\(408\) −10903.8 1870.09i −1.32309 0.226919i
\(409\) 3363.12 + 2821.99i 0.406591 + 0.341170i 0.823035 0.567991i \(-0.192279\pi\)
−0.416444 + 0.909161i \(0.636724\pi\)
\(410\) 346.895 1967.34i 0.0417852 0.236976i
\(411\) −7311.64 4175.89i −0.877509 0.501172i
\(412\) 363.019 304.609i 0.0434094 0.0364248i
\(413\) 3825.68 + 6626.26i 0.455809 + 0.789485i
\(414\) 955.063 + 5135.03i 0.113379 + 0.609597i
\(415\) 1102.43 1909.47i 0.130401 0.225860i
\(416\) −1939.18 10997.6i −0.228548 1.29616i
\(417\) 2573.74 + 3038.29i 0.302246 + 0.356800i
\(418\) 3199.49 1164.52i 0.374383 0.136264i
\(419\) −5014.25 + 1825.04i −0.584635 + 0.212790i −0.617368 0.786674i \(-0.711801\pi\)
0.0327330 + 0.999464i \(0.489579\pi\)
\(420\) −239.836 + 668.660i −0.0278638 + 0.0776839i
\(421\) 2614.12 + 14825.4i 0.302623 + 1.71626i 0.634486 + 0.772935i \(0.281212\pi\)
−0.331862 + 0.943328i \(0.607677\pi\)
\(422\) 1319.62 2285.65i 0.152223 0.263658i
\(423\) 9556.25 3579.79i 1.09844 0.411478i
\(424\) 11.8225 + 20.4773i 0.00135414 + 0.00234543i
\(425\) 8083.33 6782.72i 0.922586 0.774142i
\(426\) 518.425 302.555i 0.0589620 0.0344104i
\(427\) 764.299 4334.56i 0.0866207 0.491250i
\(428\) −4950.26 4153.76i −0.559065 0.469111i
\(429\) 2708.18 + 7333.73i 0.304783 + 0.825352i
\(430\) 2297.85 + 836.351i 0.257703 + 0.0937963i
\(431\) −4779.82 −0.534190 −0.267095 0.963670i \(-0.586064\pi\)
−0.267095 + 0.963670i \(0.586064\pi\)
\(432\) 562.264 1614.97i 0.0626202 0.179862i
\(433\) 6331.13 0.702666 0.351333 0.936250i \(-0.385728\pi\)
0.351333 + 0.936250i \(0.385728\pi\)
\(434\) 4844.56 + 1763.27i 0.535821 + 0.195023i
\(435\) −979.578 + 1178.57i −0.107971 + 0.129903i
\(436\) −5962.57 5003.19i −0.654944 0.549563i
\(437\) −1355.99 + 7690.22i −0.148435 + 0.841814i
\(438\) −14.8362 3171.61i −0.00161849 0.345994i
\(439\) 4644.41 3897.12i 0.504933 0.423689i −0.354409 0.935090i \(-0.615318\pi\)
0.859342 + 0.511402i \(0.170874\pi\)
\(440\) −720.321 1247.63i −0.0780453 0.135178i
\(441\) −2669.02 + 4724.40i −0.288200 + 0.510140i
\(442\) −5843.74 + 10121.7i −0.628865 + 1.08923i
\(443\) 486.378 + 2758.39i 0.0521637 + 0.295835i 0.999718 0.0237606i \(-0.00756396\pi\)
−0.947554 + 0.319596i \(0.896453\pi\)
\(444\) 1662.46 301.161i 0.177695 0.0321903i
\(445\) −2603.77 + 947.693i −0.277372 + 0.100955i
\(446\) 8045.85 2928.45i 0.854219 0.310910i
\(447\) −5606.56 + 1015.65i −0.593246 + 0.107469i
\(448\) −869.493 4931.14i −0.0916957 0.520032i
\(449\) 2667.38 4620.04i 0.280360 0.485598i −0.691113 0.722746i \(-0.742880\pi\)
0.971473 + 0.237149i \(0.0762128\pi\)
\(450\) 3132.05 + 5309.54i 0.328103 + 0.556209i
\(451\) 4256.90 + 7373.17i 0.444456 + 0.769820i
\(452\) −4959.97 + 4161.91i −0.516144 + 0.433097i
\(453\) −23.9841 5127.20i −0.00248757 0.531782i
\(454\) −1448.25 + 8213.42i −0.149713 + 0.849064i
\(455\) 1660.94 + 1393.69i 0.171134 + 0.143599i
\(456\) 6176.30 7430.95i 0.634280 0.763127i
\(457\) −12826.7 4668.55i −1.31293 0.477868i −0.411745 0.911299i \(-0.635081\pi\)
−0.901187 + 0.433431i \(0.857303\pi\)
\(458\) 428.523 0.0437196
\(459\) 10806.9 6443.22i 1.09896 0.655215i
\(460\) 1143.62 0.115916
\(461\) −12782.7 4652.53i −1.29143 0.470044i −0.397237 0.917716i \(-0.630031\pi\)
−0.894198 + 0.447672i \(0.852253\pi\)
\(462\) 932.479 + 2525.15i 0.0939023 + 0.254287i
\(463\) −12418.0 10419.9i −1.24646 1.04591i −0.996991 0.0775235i \(-0.975299\pi\)
−0.249471 0.968382i \(-0.580257\pi\)
\(464\) 230.446 1306.93i 0.0230565 0.130760i
\(465\) 2710.20 1581.68i 0.270285 0.157739i
\(466\) 121.197 101.696i 0.0120479 0.0101094i
\(467\) −8459.62 14652.5i −0.838254 1.45190i −0.891353 0.453310i \(-0.850243\pi\)
0.0530989 0.998589i \(-0.483090\pi\)
\(468\) 5928.53 + 4880.85i 0.585569 + 0.482088i
\(469\) 2547.43 4412.28i 0.250809 0.434414i
\(470\) 344.978 + 1956.47i 0.0338567 + 0.192011i
\(471\) −3951.03 + 11015.4i −0.386526 + 1.07763i
\(472\) −14322.8 + 5213.06i −1.39673 + 0.508369i
\(473\) −9793.04 + 3564.38i −0.951976 + 0.346491i
\(474\) −1139.99 1345.75i −0.110467 0.130406i
\(475\) 1600.39 + 9076.28i 0.154592 + 0.876733i
\(476\) 2263.01 3919.65i 0.217910 0.377431i
\(477\) −25.3546 8.96058i −0.00243376 0.000860119i
\(478\) 1539.76 + 2666.95i 0.147337 + 0.255195i
\(479\) 776.983 651.966i 0.0741153 0.0621901i −0.604977 0.796243i \(-0.706818\pi\)
0.679093 + 0.734053i \(0.262373\pi\)
\(480\) −2032.30 1160.71i −0.193253 0.110372i
\(481\) 895.462 5078.42i 0.0848847 0.481405i
\(482\) 448.225 + 376.105i 0.0423570 + 0.0355418i
\(483\) −6084.76 1043.58i −0.573222 0.0983119i
\(484\) −3299.57 1200.95i −0.309877 0.112786i
\(485\) −2186.17 −0.204678
\(486\) 2674.80 + 6846.36i 0.249653 + 0.639006i
\(487\) −4091.32 −0.380688 −0.190344 0.981717i \(-0.560960\pi\)
−0.190344 + 0.981717i \(0.560960\pi\)
\(488\) 8239.13 + 2998.80i 0.764279 + 0.278175i
\(489\) 433.765 + 74.3940i 0.0401135 + 0.00687978i
\(490\) −809.224 679.020i −0.0746062 0.0626020i
\(491\) 17.0256 96.5568i 0.00156487 0.00887484i −0.984015 0.178084i \(-0.943010\pi\)
0.985580 + 0.169209i \(0.0541213\pi\)
\(492\) 7261.94 + 4147.51i 0.665434 + 0.380049i
\(493\) 7479.80 6276.30i 0.683313 0.573368i
\(494\) −5104.00 8840.39i −0.464858 0.805158i
\(495\) 1544.80 + 545.948i 0.140269 + 0.0495728i
\(496\) −1358.67 + 2353.29i −0.122996 + 0.213036i
\(497\) 123.201 + 698.710i 0.0111194 + 0.0630612i
\(498\) −5304.59 6262.04i −0.477318 0.563471i
\(499\) −5691.89 + 2071.68i −0.510629 + 0.185854i −0.584469 0.811416i \(-0.698697\pi\)
0.0738395 + 0.997270i \(0.476475\pi\)
\(500\) 2615.78 952.067i 0.233963 0.0851555i
\(501\) 5454.46 15207.0i 0.486401 1.35608i
\(502\) −128.637 729.535i −0.0114369 0.0648620i
\(503\) −4856.15 + 8411.10i −0.430467 + 0.745591i −0.996914 0.0785074i \(-0.974985\pi\)
0.566446 + 0.824099i \(0.308318\pi\)
\(504\) 5897.61 + 4855.39i 0.521231 + 0.429120i
\(505\) −2248.37 3894.28i −0.198121 0.343155i
\(506\) 3319.68 2785.54i 0.291655 0.244728i
\(507\) 10383.6 6059.94i 0.909573 0.530831i
\(508\) −452.811 + 2568.02i −0.0395477 + 0.224286i
\(509\) 7383.99 + 6195.90i 0.643005 + 0.539545i 0.904939 0.425541i \(-0.139916\pi\)
−0.261935 + 0.965086i \(0.584360\pi\)
\(510\) 848.511 + 2297.76i 0.0736719 + 0.199503i
\(511\) 3522.74 + 1282.17i 0.304965 + 0.110998i
\(512\) 4341.65 0.374757
\(513\) 154.210 + 10988.1i 0.0132720 + 0.945685i
\(514\) 9274.18 0.795849
\(515\) −284.852 103.678i −0.0243730 0.00887104i
\(516\) −6543.33 + 7872.53i −0.558244 + 0.671645i
\(517\) −6485.90 5442.31i −0.551740 0.462965i
\(518\) 308.325 1748.60i 0.0261526 0.148319i
\(519\) 11.3138 + 2418.60i 0.000956876 + 0.204557i
\(520\) −3308.69 + 2776.32i −0.279030 + 0.234134i
\(521\) −8627.23 14942.8i −0.725462 1.25654i −0.958783 0.284138i \(-0.908293\pi\)
0.233321 0.972400i \(-0.425041\pi\)
\(522\) 2898.20 + 4913.11i 0.243010 + 0.411956i
\(523\) −6426.55 + 11131.1i −0.537311 + 0.930649i 0.461737 + 0.887017i \(0.347226\pi\)
−0.999048 + 0.0436325i \(0.986107\pi\)
\(524\) −547.702 3106.17i −0.0456612 0.258958i
\(525\) −7169.62 + 1298.81i −0.596015 + 0.107971i
\(526\) −1072.10 + 390.211i −0.0888700 + 0.0323460i
\(527\) −18787.4 + 6838.07i −1.55293 + 0.565220i
\(528\) −1396.08 + 252.906i −0.115070 + 0.0208453i
\(529\) −386.921 2194.34i −0.0318009 0.180352i
\(530\) 2.61759 4.53380i 0.000214530 0.000371577i
\(531\) 8526.45 15092.6i 0.696829 1.23345i
\(532\) 1976.55 + 3423.48i 0.161079 + 0.278998i
\(533\) 19553.5 16407.3i 1.58903 1.33336i
\(534\) 48.2443 + 10313.5i 0.00390962 + 0.835780i
\(535\) −717.798 + 4070.83i −0.0580058 + 0.328967i
\(536\) 7774.79 + 6523.82i 0.626529 + 0.525721i
\(537\) −1209.82 + 1455.58i −0.0972208 + 0.116970i
\(538\) −5698.98 2074.26i −0.456692 0.166222i
\(539\) 4502.05 0.359772
\(540\) 1580.86 301.680i 0.125980 0.0240412i
\(541\) −9727.92 −0.773080 −0.386540 0.922273i \(-0.626330\pi\)
−0.386540 + 0.922273i \(0.626330\pi\)
\(542\) 280.591 + 102.127i 0.0222369 + 0.00809358i
\(543\) 2038.15 + 5519.31i 0.161078 + 0.436200i
\(544\) 11422.9 + 9584.95i 0.900281 + 0.755425i
\(545\) −864.585 + 4903.31i −0.0679537 + 0.385385i
\(546\) 6970.18 4067.83i 0.546330 0.318840i
\(547\) 18630.8 15633.1i 1.45630 1.22198i 0.528478 0.848947i \(-0.322763\pi\)
0.927819 0.373031i \(-0.121681\pi\)
\(548\) 3431.10 + 5942.84i 0.267462 + 0.463258i
\(549\) −9337.98 + 3498.02i −0.725929 + 0.271934i
\(550\) 2557.30 4429.37i 0.198261 0.343398i
\(551\) 1480.90 + 8398.61i 0.114498 + 0.649352i
\(552\) 4152.12 11576.1i 0.320156 0.892591i
\(553\) 1958.94 712.994i 0.150637 0.0548275i
\(554\) −14352.0 + 5223.68i −1.10064 + 0.400601i
\(555\) −698.550 824.635i −0.0534267 0.0630699i
\(556\) −563.513 3195.84i −0.0429825 0.243766i
\(557\) 7540.43 13060.4i 0.573606 0.993514i −0.422586 0.906323i \(-0.638878\pi\)
0.996192 0.0871912i \(-0.0277891\pi\)
\(558\) −2135.73 11483.1i −0.162030 0.871178i
\(559\) 15622.4 + 27058.8i 1.18204 + 2.04735i
\(560\) −301.434 + 252.933i −0.0227463 + 0.0190864i
\(561\) −9064.77 5177.16i −0.682201 0.389626i
\(562\) 174.032 986.984i 0.0130624 0.0740808i
\(563\) −1831.42 1536.74i −0.137096 0.115037i 0.571661 0.820490i \(-0.306299\pi\)
−0.708757 + 0.705453i \(0.750744\pi\)
\(564\) −8196.96 1405.84i −0.611976 0.104959i
\(565\) 3891.96 + 1416.56i 0.289798 + 0.105478i
\(566\) −7731.45 −0.574164
\(567\) −8686.42 + 162.551i −0.643378 + 0.0120397i
\(568\) −1413.34 −0.104406
\(569\) 20151.9 + 7334.70i 1.48473 + 0.540398i 0.952057 0.305922i \(-0.0989646\pi\)
0.532675 + 0.846320i \(0.321187\pi\)
\(570\) −2108.58 361.637i −0.154945 0.0265742i
\(571\) 8824.02 + 7404.24i 0.646714 + 0.542658i 0.906072 0.423124i \(-0.139066\pi\)
−0.259358 + 0.965781i \(0.583511\pi\)
\(572\) 1106.37 6274.54i 0.0808735 0.458657i
\(573\) 3851.10 + 2199.48i 0.280771 + 0.160357i
\(574\) 6732.65 5649.36i 0.489574 0.410801i
\(575\) 5865.08 + 10158.6i 0.425375 + 0.736771i
\(576\) −8621.49 + 7372.83i −0.623661 + 0.533335i
\(577\) 4116.78 7130.48i 0.297026 0.514464i −0.678428 0.734667i \(-0.737339\pi\)
0.975454 + 0.220203i \(0.0706719\pi\)
\(578\) −1054.54 5980.60i −0.0758878 0.430381i
\(579\) 4121.55 + 4865.47i 0.295830 + 0.349226i
\(580\) 1173.64 427.171i 0.0840222 0.0305816i
\(581\) 9115.30 3317.70i 0.650889 0.236904i
\(582\) −2747.30 + 7659.43i −0.195669 + 0.545522i
\(583\) 3.87434 + 21.9725i 0.000275229 + 0.00156090i
\(584\) −3733.94 + 6467.37i −0.264575 + 0.458257i
\(585\) 807.696 4845.32i 0.0570840 0.342443i
\(586\) −6693.48 11593.4i −0.471852 0.817271i
\(587\) −13361.6 + 11211.7i −0.939511 + 0.788343i −0.977500 0.210935i \(-0.932349\pi\)
0.0379893 + 0.999278i \(0.487905\pi\)
\(588\) 3819.38 2229.01i 0.267872 0.156331i
\(589\) 3032.30 17197.0i 0.212129 1.20304i
\(590\) 2585.15 + 2169.20i 0.180388 + 0.151363i
\(591\) −6118.82 16569.7i −0.425879 1.15328i
\(592\) 879.430 + 320.086i 0.0610547 + 0.0222221i
\(593\) −14432.2 −0.999423 −0.499712 0.866192i \(-0.666561\pi\)
−0.499712 + 0.866192i \(0.666561\pi\)
\(594\) 3854.07 4726.24i 0.266220 0.326465i
\(595\) −2895.18 −0.199480
\(596\) 4363.55 + 1588.20i 0.299896 + 0.109153i
\(597\) −10658.1 + 12823.2i −0.730667 + 0.879093i
\(598\) −9952.73 8351.33i −0.680598 0.571089i
\(599\) 3220.81 18266.1i 0.219698 1.24597i −0.652868 0.757471i \(-0.726435\pi\)
0.872566 0.488496i \(-0.162454\pi\)
\(600\) −67.8966 14514.6i −0.00461978 0.987595i
\(601\) −16512.1 + 13855.3i −1.12070 + 0.940382i −0.998640 0.0521402i \(-0.983396\pi\)
−0.122064 + 0.992522i \(0.538951\pi\)
\(602\) 5379.11 + 9316.89i 0.364179 + 0.630777i
\(603\) −11542.2 + 107.986i −0.779492 + 0.00729278i
\(604\) −2089.30 + 3618.78i −0.140749 + 0.243785i
\(605\) 390.032 + 2211.98i 0.0262100 + 0.148644i
\(606\) −16469.4 + 2983.50i −1.10400 + 0.199994i
\(607\) −7155.28 + 2604.31i −0.478458 + 0.174144i −0.569980 0.821659i \(-0.693049\pi\)
0.0915221 + 0.995803i \(0.470827\pi\)
\(608\) −12238.5 + 4454.45i −0.816344 + 0.297125i
\(609\) −6634.31 + 1201.83i −0.441438 + 0.0799684i
\(610\) −337.098 1911.78i −0.0223749 0.126895i
\(611\) −12692.1 + 21983.3i −0.840370 + 1.45556i
\(612\) −10253.5 + 95.9300i −0.677244 + 0.00633617i
\(613\) −13145.6 22768.8i −0.866142 1.50020i −0.865909 0.500201i \(-0.833259\pi\)
−0.000232630 1.00000i \(-0.500074\pi\)
\(614\) −6771.97 + 5682.36i −0.445105 + 0.373488i
\(615\) −25.0237 5349.45i −0.00164073 0.350749i
\(616\) 1100.60 6241.81i 0.0719877 0.408263i
\(617\) 8444.18 + 7085.51i 0.550972 + 0.462321i 0.875270 0.483634i \(-0.160684\pi\)
−0.324298 + 0.945955i \(0.605128\pi\)
\(618\) −721.209 + 867.714i −0.0469438 + 0.0564799i
\(619\) −4411.45 1605.63i −0.286447 0.104258i 0.194800 0.980843i \(-0.437594\pi\)
−0.481248 + 0.876585i \(0.659816\pi\)
\(620\) −2557.38 −0.165656
\(621\) 4967.67 + 13074.7i 0.321008 + 0.844879i
\(622\) 19258.6 1.24148
\(623\) −11455.3 4169.38i −0.736670 0.268126i
\(624\) 1473.54 + 3990.34i 0.0945334 + 0.255996i
\(625\) 9902.76 + 8309.40i 0.633776 + 0.531802i
\(626\) 108.251 613.923i 0.00691148 0.0391970i
\(627\) 7874.65 4595.68i 0.501568 0.292717i
\(628\) 7306.03 6130.48i 0.464239 0.389543i
\(629\) 3442.88 + 5963.25i 0.218246 + 0.378013i
\(630\) 278.106 1668.34i 0.0175873 0.105505i
\(631\) 1671.81 2895.66i 0.105473 0.182685i −0.808458 0.588554i \(-0.799698\pi\)
0.913932 + 0.405868i \(0.133031\pi\)
\(632\) 721.119 + 4089.67i 0.0453870 + 0.257402i
\(633\) 2386.13 6652.49i 0.149826 0.417714i
\(634\) 14194.4 5166.33i 0.889165 0.323630i
\(635\) 1567.44 570.501i 0.0979558 0.0356530i
\(636\) 14.1656 + 16.7225i 0.000883182 + 0.00104259i
\(637\) −2343.83 13292.5i −0.145787 0.826797i
\(638\) 2366.36 4098.66i 0.146842 0.254338i
\(639\) 1221.61 1044.68i 0.0756277 0.0646744i
\(640\) 697.414 + 1207.96i 0.0430745 + 0.0746073i
\(641\) 5422.29 4549.84i 0.334114 0.280355i −0.460259 0.887785i \(-0.652244\pi\)
0.794374 + 0.607429i \(0.207799\pi\)
\(642\) 13360.5 + 7630.57i 0.821333 + 0.469088i
\(643\) −3327.12 + 18869.0i −0.204057 + 1.15727i 0.694860 + 0.719145i \(0.255466\pi\)
−0.898917 + 0.438120i \(0.855645\pi\)
\(644\) 3854.24 + 3234.09i 0.235836 + 0.197890i
\(645\) 6453.96 + 1106.90i 0.393992 + 0.0675726i
\(646\) 12808.6 + 4661.95i 0.780106 + 0.283935i
\(647\) 26381.3 1.60302 0.801512 0.597978i \(-0.204029\pi\)
0.801512 + 0.597978i \(0.204029\pi\)
\(648\) 2685.89 17097.2i 0.162827 1.03649i
\(649\) −14382.2 −0.869881
\(650\) −14409.3 5244.56i −0.869508 0.316475i
\(651\) 13606.9 + 2333.68i 0.819194 + 0.140498i
\(652\) −274.757 230.549i −0.0165036 0.0138481i
\(653\) 4445.74 25213.1i 0.266425 1.51097i −0.498522 0.866877i \(-0.666124\pi\)
0.764947 0.644093i \(-0.222765\pi\)
\(654\) 16092.6 + 9190.99i 0.962190 + 0.549536i
\(655\) −1545.56 + 1296.88i −0.0921985 + 0.0773638i
\(656\) 2316.21 + 4011.80i 0.137855 + 0.238772i
\(657\) −1553.01 8349.96i −0.0922200 0.495834i
\(658\) −4370.13 + 7569.29i −0.258914 + 0.448452i
\(659\) 477.180 + 2706.22i 0.0282068 + 0.159969i 0.995658 0.0930900i \(-0.0296744\pi\)
−0.967451 + 0.253059i \(0.918563\pi\)
\(660\) −863.080 1018.86i −0.0509020 0.0600896i
\(661\) 26790.5 9750.96i 1.57645 0.573780i 0.602019 0.798482i \(-0.294363\pi\)
0.974427 + 0.224702i \(0.0721410\pi\)
\(662\) −12562.0 + 4572.19i −0.737516 + 0.268434i
\(663\) −10566.6 + 29459.5i −0.618963 + 1.72566i
\(664\) 3355.50 + 19030.0i 0.196113 + 1.11221i
\(665\) 1264.34 2189.91i 0.0737281 0.127701i
\(666\) −3767.02 + 1411.13i −0.219173 + 0.0821026i
\(667\) 5427.17 + 9400.14i 0.315054 + 0.545689i
\(668\) −10086.1 + 8463.23i −0.584195 + 0.490198i
\(669\) 19802.6 11556.9i 1.14441 0.667885i
\(670\) 390.208 2212.98i 0.0225001 0.127604i
\(671\) 6337.76 + 5318.01i 0.364630 + 0.305961i
\(672\) −3566.87 9659.06i −0.204754 0.554474i
\(673\) −21228.1 7726.38i −1.21587 0.442541i −0.347135 0.937815i \(-0.612845\pi\)
−0.868737 + 0.495274i \(0.835068\pi\)
\(674\) 8606.40 0.491849
\(675\) 10787.2 + 12495.4i 0.615113 + 0.712514i
\(676\) −9798.16 −0.557474
\(677\) 234.324 + 85.2870i 0.0133025 + 0.00484172i 0.348663 0.937248i \(-0.386636\pi\)
−0.335360 + 0.942090i \(0.608858\pi\)
\(678\) 9853.95 11855.7i 0.558169 0.671555i
\(679\) −7367.86 6182.37i −0.416425 0.349422i
\(680\) 1001.49 5679.75i 0.0564787 0.320307i
\(681\) 104.471 + 22333.3i 0.00587861 + 1.25670i
\(682\) −7423.53 + 6229.09i −0.416806 + 0.349742i
\(683\) −3696.21 6402.03i −0.207074 0.358663i 0.743717 0.668494i \(-0.233061\pi\)
−0.950792 + 0.309831i \(0.899727\pi\)
\(684\) 4405.22 7797.63i 0.246254 0.435892i
\(685\) 2194.78 3801.47i 0.122421 0.212039i
\(686\) −2184.40 12388.3i −0.121575 0.689488i
\(687\) 1129.14 204.548i 0.0627065 0.0113595i
\(688\) −5328.47 + 1939.41i −0.295271 + 0.107470i
\(689\) 62.8578 22.8784i 0.00347560 0.00126502i
\(690\) −2679.29 + 485.365i −0.147825 + 0.0267790i
\(691\) 978.497 + 5549.33i 0.0538694 + 0.305509i 0.999823 0.0187922i \(-0.00598210\pi\)
−0.945954 + 0.324301i \(0.894871\pi\)
\(692\) 985.565 1707.05i 0.0541410 0.0937749i
\(693\) 3662.38 + 6208.56i 0.200754 + 0.340323i
\(694\) −11896.2 20604.9i −0.650683 1.12702i
\(695\) −1590.18 + 1334.32i −0.0867898 + 0.0728253i
\(696\) −62.8272 13430.9i −0.00342164 0.731462i
\(697\) −5918.55 + 33565.8i −0.321637 + 1.82410i
\(698\) 1791.49 + 1503.24i 0.0971476 + 0.0815165i
\(699\) 270.805 325.816i 0.0146535 0.0176302i
\(700\) 5580.07 + 2030.98i 0.301296 + 0.109663i
\(701\) −3492.05 −0.188149 −0.0940747 0.995565i \(-0.529989\pi\)
−0.0940747 + 0.995565i \(0.529989\pi\)
\(702\) −15961.0 8918.81i −0.858131 0.479514i
\(703\) −6014.12 −0.322656
\(704\) 8844.43 + 3219.11i 0.473490 + 0.172336i
\(705\) 1842.89 + 4990.53i 0.0984499 + 0.266602i
\(706\) 715.205 + 600.128i 0.0381262 + 0.0319917i
\(707\) 3435.35 19482.8i 0.182743 1.03639i
\(708\) −12201.4 + 7120.79i −0.647679 + 0.377988i
\(709\) −26353.3 + 22113.0i −1.39594 + 1.17133i −0.433067 + 0.901362i \(0.642569\pi\)
−0.962869 + 0.269968i \(0.912987\pi\)
\(710\) 156.462 + 271.000i 0.00827030 + 0.0143246i
\(711\) −3646.19 3001.84i −0.192325 0.158337i
\(712\) 12142.1 21030.6i 0.639105 1.10696i
\(713\) −3859.40 21887.7i −0.202715 1.14965i
\(714\) −3638.29 + 10143.5i −0.190700 + 0.531668i
\(715\) −3829.78 + 1393.93i −0.200316 + 0.0729090i
\(716\) 1449.50 527.574i 0.0756568 0.0275368i
\(717\) 5330.23 + 6292.31i 0.277630 + 0.327741i
\(718\) 2011.50 + 11407.8i 0.104552 + 0.592946i
\(719\) 13224.9 22906.3i 0.685963 1.18812i −0.287170 0.957880i \(-0.592715\pi\)
0.973133 0.230243i \(-0.0739521\pi\)
\(720\) 840.535 + 297.054i 0.0435068 + 0.0153758i
\(721\) −666.817 1154.96i −0.0344432 0.0596574i
\(722\) 1075.66 902.589i 0.0554460 0.0465247i
\(723\) 1360.58 + 777.069i 0.0699869 + 0.0399716i
\(724\) 832.646 4722.17i 0.0427418 0.242401i
\(725\) 9813.57 + 8234.56i 0.502713 + 0.421826i
\(726\) 8240.00 + 1413.22i 0.421233 + 0.0722447i
\(727\) 13632.0 + 4961.66i 0.695440 + 0.253119i 0.665462 0.746431i \(-0.268234\pi\)
0.0299770 + 0.999551i \(0.490457\pi\)
\(728\) −19002.3 −0.967406
\(729\) 10316.0 + 16763.1i 0.524106 + 0.851653i
\(730\) 1653.44 0.0838309
\(731\) −39204.8 14269.4i −1.98364 0.721987i
\(732\) 8009.74 + 1373.73i 0.404438 + 0.0693642i
\(733\) 7600.74 + 6377.78i 0.383001 + 0.321376i 0.813879 0.581034i \(-0.197352\pi\)
−0.430878 + 0.902410i \(0.641796\pi\)
\(734\) 1404.24 7963.87i 0.0706153 0.400479i
\(735\) −2456.39 1402.92i −0.123272 0.0704046i
\(736\) −12698.2 + 10655.1i −0.635956 + 0.533630i
\(737\) 4788.40 + 8293.76i 0.239326 + 0.414524i
\(738\) −18773.7 6634.82i −0.936407 0.330937i
\(739\) −894.624 + 1549.53i −0.0445322 + 0.0771320i −0.887432 0.460938i \(-0.847513\pi\)
0.842900 + 0.538070i \(0.180846\pi\)
\(740\) 152.946 + 867.397i 0.00759782 + 0.0430894i
\(741\) −17668.6 20857.7i −0.875943 1.03405i
\(742\) 21.6432 7.87747i 0.00107082 0.000389746i
\(743\) 16623.9 6050.61i 0.820824 0.298755i 0.102737 0.994709i \(-0.467240\pi\)
0.718087 + 0.695953i \(0.245018\pi\)
\(744\) −9285.07 + 25886.6i −0.457536 + 1.27561i
\(745\) −515.801 2925.25i −0.0253658 0.143856i
\(746\) −1460.52 + 2529.70i −0.0716805 + 0.124154i
\(747\) −16966.4 13968.1i −0.831016 0.684160i
\(748\) 4253.79 + 7367.77i 0.207933 + 0.360150i
\(749\) −13931.2 + 11689.7i −0.679621 + 0.570270i
\(750\) −5724.24 + 3340.69i −0.278693 + 0.162646i
\(751\) 6988.63 39634.5i 0.339572 1.92581i −0.0367561 0.999324i \(-0.511702\pi\)
0.376328 0.926486i \(-0.377186\pi\)
\(752\) −3529.03 2961.21i −0.171131 0.143596i
\(753\) −687.183 1860.89i −0.0332568 0.0900592i
\(754\) −13333.5 4852.99i −0.644001 0.234397i
\(755\) 2672.94 0.128845
\(756\) 6180.96 + 3453.85i 0.297353 + 0.166158i
\(757\) 28253.8 1.35654 0.678270 0.734813i \(-0.262730\pi\)
0.678270 + 0.734813i \(0.262730\pi\)
\(758\) 3937.47 + 1433.12i 0.188675 + 0.0686720i
\(759\) 7417.57 8924.37i 0.354731 0.426791i
\(760\) 3858.80 + 3237.91i 0.184175 + 0.154541i
\(761\) 511.044 2898.28i 0.0243434 0.138058i