Properties

Label 27.4.e.a.7.6
Level 27
Weight 4
Character 27.7
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 7.6
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.6

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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 0.00106622 0.999999i \(-0.499661\pi\)
0.643604 + 0.765359i \(0.277438\pi\)
\(3\) 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 0.956518 0.291673i \(-0.0942118\pi\)
−0.998591 + 0.0530660i \(0.983101\pi\)
\(6\) 8.75540 5.00047i 0.595729 0.340239i
\(7\) −9.12942 7.66050i −0.492943 0.413628i 0.362137 0.932125i \(-0.382047\pi\)
−0.855079 + 0.518497i \(0.826492\pi\)
\(8\) −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 0.883934 + 0.467612i \(0.154886\pi\)
−0.990559 + 0.137088i \(0.956226\pi\)
\(12\) −14.2229 + 16.7900i −0.342149 + 0.403905i
\(13\) −63.1117 22.9708i −1.34647 0.490073i −0.434622 0.900613i \(-0.643118\pi\)
−0.911843 + 0.410540i \(0.865340\pi\)
\(14\) −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 0.985492 + 0.169722i \(0.0542869\pi\)
−0.345763 + 0.938322i \(0.612380\pi\)
\(18\) 40.4475 33.2996i 0.529643 0.436044i
\(19\) 39.1643 67.8345i 0.472889 0.819068i −0.526629 0.850095i \(-0.676544\pi\)
0.999519 + 0.0310268i \(0.00987773\pi\)
\(20\) 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 −0.227232 0.973841i \(-0.572967\pi\)
0.919588 + 0.392885i \(0.128523\pi\)
\(24\) −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 0.00699560 0.999976i \(-0.497773\pi\)
0.648131 + 0.761529i \(0.275551\pi\)
\(30\) −17.4582 21.0046i −0.106247 0.127830i
\(31\) −170.780 + 143.301i −0.989449 + 0.830246i −0.985488 0.169746i \(-0.945705\pi\)
−0.00396118 + 0.999992i \(0.501261\pi\)
\(32\) −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 0.768045 0.640396i \(-0.221230\pi\)
−0.938622 + 0.344948i \(0.887896\pi\)
\(38\) 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 −0.444198 0.895928i \(-0.646511\pi\)
−0.916167 + 0.400796i \(0.868734\pi\)
\(42\) −118.238 21.4193i −0.434393 0.0786921i
\(43\) −80.7838 + 458.148i −0.286498 + 1.62481i 0.413387 + 0.910555i \(0.364346\pi\)
−0.699885 + 0.714255i \(0.746766\pi\)
\(44\) −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 0.969908 0.243473i \(-0.0782867\pi\)
−0.0713514 + 0.997451i \(0.522731\pi\)
\(48\) −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 0.818151 + 0.575003i \(0.194999\pi\)
−0.572148 + 0.820151i \(0.693890\pi\)
\(60\) 51.4810 + 30.0445i 0.110770 + 0.0646456i
\(61\) −282.916 237.395i −0.593831 0.498284i 0.295625 0.955304i \(-0.404472\pi\)
−0.889456 + 0.457021i \(0.848917\pi\)
\(62\) −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 −0.0512858 0.998684i \(-0.516332\pi\)
−0.681229 + 0.732070i \(0.738554\pi\)
\(68\) −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 0.889830 0.456291i \(-0.150823\pi\)
−0.840075 + 0.542470i \(0.817489\pi\)
\(72\) −117.209 + 630.189i −0.191850 + 1.03151i
\(73\) −157.281 + 272.418i −0.252169 + 0.436769i −0.964123 0.265457i \(-0.914477\pi\)
0.711954 + 0.702226i \(0.247810\pi\)
\(74\) −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 −0.456403 0.889773i \(-0.650863\pi\)
0.222310 + 0.974976i \(0.428640\pi\)
\(80\) 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 −0.794007 0.607908i \(-0.792009\pi\)
−0.217489 + 0.976063i \(0.569787\pi\)
\(84\) 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 −0.382246 0.924061i \(-0.624849\pi\)
0.991383 0.130996i \(-0.0418174\pi\)
\(90\) −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 −0.819298 0.573367i \(-0.805637\pi\)
0.965992 0.258572i \(-0.0832521\pi\)
\(98\) −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 −0.996410 0.0846544i \(-0.973021\pi\)
−0.256393 0.966573i \(-0.582534\pi\)
\(102\) 780.962 + 455.773i 0.758105 + 0.442433i
\(103\) −19.4320 110.204i −0.0185893 0.105425i 0.974101 0.226112i \(-0.0726014\pi\)
−0.992691 + 0.120687i \(0.961490\pi\)
\(104\) 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 0.870132 + 0.492818i \(0.164033\pi\)
−0.649103 + 0.760700i \(0.724856\pi\)
\(114\) 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 −0.953310 0.301993i \(-0.902348\pi\)
0.738189 + 0.674594i \(0.235681\pi\)
\(128\) 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 −0.432378 0.901692i \(-0.642325\pi\)
0.812912 + 0.582387i \(0.197881\pi\)
\(132\) −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 −0.769950 0.638105i \(-0.779719\pi\)
−0.179650 + 0.983731i \(0.557496\pi\)
\(138\) 348.208 942.946i 0.214793 0.581659i
\(139\) 587.030 492.576i 0.358210 0.300574i −0.445867 0.895099i \(-0.647104\pi\)
0.804077 + 0.594525i \(0.202660\pi\)
\(140\) −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 0.0428386 0.999082i \(-0.486360\pi\)
−0.609381 + 0.792877i \(0.708582\pi\)
\(150\) 766.818 905.225i 0.417403 0.492742i
\(151\) −171.346 + 971.751i −0.0923439 + 0.523708i 0.903185 + 0.429251i \(0.141223\pi\)
−0.995529 + 0.0944569i \(0.969889\pi\)
\(152\) 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 −0.906900 0.421346i \(-0.861558\pi\)
0.708098 0.706114i \(-0.249553\pi\)
\(158\) −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 0.808172 + 0.588947i \(0.200457\pi\)
−0.558001 + 0.829840i \(0.688432\pi\)
\(168\) 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 −0.961883 0.273463i \(-0.911831\pi\)
0.997404 + 0.0720120i \(0.0229420\pi\)
\(174\) 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 0.825493 0.564413i \(-0.190897\pi\)
−0.901542 + 0.432692i \(0.857564\pi\)
\(180\) 290.043 + 108.651i 0.120103 + 0.0449908i
\(181\) 566.151 980.602i 0.232495 0.402694i −0.726047 0.687646i \(-0.758644\pi\)
0.958542 + 0.284952i \(0.0919776\pi\)
\(182\) 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 −0.185602 0.982625i \(-0.559424\pi\)
0.489440 + 0.872037i \(0.337201\pi\)
\(192\) −1395.48 1678.95i −0.524531 0.631083i
\(193\) 940.060 788.804i 0.350606 0.294194i −0.450427 0.892813i \(-0.648728\pi\)
0.801033 + 0.598620i \(0.204284\pi\)
\(194\) −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 0.375737 + 0.926726i \(0.377390\pi\)
−0.990437 + 0.137965i \(0.955944\pi\)
\(198\) 577.290 + 1021.86i 0.207203 + 0.366768i
\(199\) −1604.48 2779.04i −0.571550 0.989954i −0.996407 0.0846936i \(-0.973009\pi\)
0.424857 0.905261i \(-0.360324\pi\)
\(200\) −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 0.998789 + 0.0491949i \(0.0156655\pi\)
−0.921729 + 0.387834i \(0.873223\pi\)
\(212\) 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 0.988997 0.147936i \(-0.0472629\pi\)
0.0260491 + 0.999661i \(0.491707\pi\)
\(224\) −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 −0.656993 0.753897i \(-0.728172\pi\)
0.875219 0.483726i \(-0.160717\pi\)
\(228\) 581.914 + 1622.37i 0.169027 + 0.471246i
\(229\) 207.521 + 75.5316i 0.0598839 + 0.0217959i 0.371788 0.928317i \(-0.378745\pi\)
−0.311905 + 0.950113i \(0.600967\pi\)
\(230\) −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 0.871700 0.490040i \(-0.163018\pi\)
−0.860237 + 0.509894i \(0.829685\pi\)
\(234\) −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 −0.463271 0.886217i \(-0.653324\pi\)
0.792307 + 0.610123i \(0.208880\pi\)
\(240\) 169.097 29.0014i 0.0454798 0.00780014i
\(241\) 283.355 103.133i 0.0757365 0.0275658i −0.303874 0.952712i \(-0.598280\pi\)
0.379611 + 0.925146i \(0.376058\pi\)
\(242\) 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 −0.889028 0.457853i \(-0.848619\pi\)
0.841026 + 0.540994i \(0.181952\pi\)
\(252\) 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 0.823656 0.567089i \(-0.191931\pi\)
0.266439 + 0.963852i \(0.414153\pi\)
\(258\) 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 0.588458 0.808528i \(-0.299735\pi\)
−0.694060 + 0.719917i \(0.744180\pi\)
\(264\) −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 −0.988728 0.149720i \(-0.952163\pi\)
−0.319136 0.947709i \(-0.603393\pi\)
\(278\) 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 −0.992847 0.119396i \(-0.961904\pi\)
0.973807 + 0.227378i \(0.0730154\pi\)
\(282\) 3749.77 + 679.287i 0.791829 + 0.143443i
\(283\) −3744.12 1362.75i −0.786448 0.286244i −0.0825895 0.996584i \(-0.526319\pi\)
−0.703859 + 0.710340i \(0.748541\pi\)
\(284\) −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 −0.993483 0.113981i \(-0.963640\pi\)
−0.0602672 + 0.998182i \(0.519195\pi\)
\(294\) −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 0.572802 0.819693i \(-0.305856\pi\)
−0.996277 + 0.0862148i \(0.972523\pi\)
\(308\) −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 0.995881 0.0906698i \(-0.0289008\pi\)
0.704608 + 0.709597i \(0.251123\pi\)
\(312\) 5355.20 6321.78i 0.971725 1.14712i
\(313\) −55.7874 + 316.386i −0.0100744 + 0.0571348i −0.989431 0.145008i \(-0.953679\pi\)
0.979356 + 0.202142i \(0.0647904\pi\)
\(314\) −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 0.993769 0.111457i \(-0.0355519\pi\)
0.0628021 + 0.998026i \(0.479996\pi\)
\(318\) −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 0.0890590 0.996026i \(-0.471614\pi\)
−0.965430 + 0.260664i \(0.916058\pi\)
\(332\) 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 0.656140 0.754639i \(-0.272188\pi\)
0.0175593 + 0.999846i \(0.494410\pi\)
\(338\) 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 −0.522858 + 0.852420i \(0.675134\pi\)
−0.930263 + 0.366894i \(0.880421\pi\)
\(348\) −829.926 + 2247.44i −0.127841 + 0.346193i
\(349\) 1132.53 412.208i 0.173705 0.0632234i −0.253704 0.967282i \(-0.581649\pi\)
0.427409 + 0.904059i \(0.359427\pi\)
\(350\) −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 −0.307709 0.951480i \(-0.599562\pi\)
0.375881 + 0.926668i \(0.377340\pi\)
\(354\) 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 −0.558783 0.829314i \(-0.688732\pi\)
0.997598 + 0.0692637i \(0.0220650\pi\)
\(360\) 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 0.889095 + 0.457722i \(0.151335\pi\)
−0.992026 + 0.126030i \(0.959777\pi\)
\(368\) 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 0.961274 0.275594i \(-0.0888746\pi\)
−0.997561 + 0.0698013i \(0.977763\pi\)
\(374\) −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 −0.934194 0.356764i \(-0.883880\pi\)
0.755835 0.654762i \(-0.227231\pi\)
\(384\) 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 −0.836201 0.548423i \(-0.815228\pi\)
0.973344 0.229352i \(-0.0736607\pi\)
\(390\) 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 −0.933861 0.357636i \(-0.883583\pi\)
0.776652 + 0.629929i \(0.216916\pi\)
\(398\) −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 0.131389 0.991331i \(-0.458056\pi\)
0.999086 + 0.0427502i \(0.0136120\pi\)
\(402\) −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 −0.416444 0.909161i \(-0.636724\pi\)
0.823035 + 0.567991i \(0.192279\pi\)
\(410\) 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 0.0327330 0.999464i \(-0.489579\pi\)
−0.617368 + 0.786674i \(0.711801\pi\)
\(420\) −239.836 668.660i −0.0278638 0.0776839i
\(421\) 2614.12 14825.4i 0.302623 1.71626i −0.331862 0.943328i \(-0.607677\pi\)
0.634486 0.772935i \(-0.281212\pi\)
\(422\) 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 0.859342 0.511402i \(-0.170874\pi\)
−0.354409 + 0.935090i \(0.615318\pi\)
\(440\) −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 −0.947554 0.319596i \(-0.896453\pi\)
0.999718 + 0.0237606i \(0.00756396\pi\)
\(444\) 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 0.971473 0.237149i \(-0.0762128\pi\)
−0.691113 + 0.722746i \(0.742880\pi\)
\(450\) 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 −0.901187 0.433431i \(-0.857303\pi\)
−0.411745 + 0.911299i \(0.635081\pi\)
\(458\) 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 −0.894198 0.447672i \(-0.852253\pi\)
−0.397237 + 0.917716i \(0.630031\pi\)
\(462\) 932.479 2525.15i 0.0939023 0.254287i
\(463\) −12418.0 + 10419.9i −1.24646 + 1.04591i −0.249471 + 0.968382i \(0.580257\pi\)
−0.996991 + 0.0775235i \(0.975299\pi\)
\(464\) 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 0.0530989 + 0.998589i \(0.483090\pi\)
−0.891353 + 0.453310i \(0.850243\pi\)
\(468\) 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 0.679093 0.734053i \(-0.262373\pi\)
−0.604977 + 0.796243i \(0.706818\pi\)
\(480\) −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 0.985580 0.169209i \(-0.0541213\pi\)
−0.984015 + 0.178084i \(0.943010\pi\)
\(492\) 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 0.0738395 0.997270i \(-0.476475\pi\)
−0.584469 + 0.811416i \(0.698697\pi\)
\(500\) 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 0.566446 0.824099i \(-0.308318\pi\)
−0.996914 + 0.0785074i \(0.974985\pi\)
\(504\) 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 −0.261935 0.965086i \(-0.584360\pi\)
0.904939 + 0.425541i \(0.139916\pi\)
\(510\) 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 0.233321 + 0.972400i \(0.425041\pi\)
−0.958783 + 0.284138i \(0.908293\pi\)
\(522\) 2898.20 4913.11i 0.243010 0.411956i
\(523\) −6426.55 11131.1i −0.537311 0.930649i −0.999048 0.0436325i \(-0.986107\pi\)
0.461737 0.887017i \(-0.347226\pi\)
\(524\) −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 0.927819 + 0.373031i \(0.121681\pi\)
0.528478 + 0.848947i \(0.322763\pi\)
\(548\) 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 0.996192 + 0.0871912i \(0.0277891\pi\)
−0.422586 + 0.906323i \(0.638878\pi\)
\(558\) −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 −0.708757 0.705453i \(-0.750744\pi\)
0.571661 + 0.820490i \(0.306299\pi\)
\(564\) −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 0.532675 0.846320i \(-0.321187\pi\)
0.952057 + 0.305922i \(0.0989646\pi\)
\(570\) −2108.58 + 361.637i −0.154945 + 0.0265742i
\(571\) 8824.02 7404.24i 0.646714 0.542658i −0.259358 0.965781i \(-0.583511\pi\)
0.906072 + 0.423124i \(0.139066\pi\)
\(572\) 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 0.975454 0.220203i \(-0.0706719\pi\)
−0.678428 + 0.734667i \(0.737339\pi\)
\(578\) −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 0.0379893 0.999278i \(-0.487905\pi\)
−0.977500 + 0.210935i \(0.932349\pi\)
\(588\) 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 0.872566 + 0.488496i \(0.162454\pi\)
−0.652868 + 0.757471i \(0.726435\pi\)
\(600\) −67.8966 + 14514.6i −0.00461978 + 0.987595i
\(601\) −16512.1 13855.3i −1.12070 0.940382i −0.122064 0.992522i \(-0.538951\pi\)
−0.998640 + 0.0521402i \(0.983396\pi\)
\(602\) 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 0.0915221 0.995803i \(-0.470827\pi\)
−0.569980 + 0.821659i \(0.693049\pi\)
\(608\) −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 −0.000232630 1.00000i \(0.500074\pi\)
−0.865909 + 0.500201i \(0.833259\pi\)
\(614\) −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 −0.324298 0.945955i \(-0.605128\pi\)
0.875270 + 0.483634i \(0.160684\pi\)
\(618\) −721.209 867.714i −0.0469438 0.0564799i
\(619\) −4411.45 + 1605.63i −0.286447 + 0.104258i −0.481248 0.876585i \(-0.659816\pi\)
0.194800 + 0.980843i \(0.437594\pi\)
\(620\) −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 0.913932 0.405868i \(-0.133031\pi\)
−0.808458 + 0.588554i \(0.799698\pi\)
\(632\) 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 0.794374 0.607429i \(-0.207799\pi\)
−0.460259 + 0.887785i \(0.652244\pi\)
\(642\) 13360.5 7630.57i 0.821333 0.469088i
\(643\) −3327.12 18869.0i −0.204057 1.15727i −0.898917 0.438120i \(-0.855645\pi\)
0.694860 0.719145i \(-0.255466\pi\)
\(644\) 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 0.764947 + 0.644093i \(0.222765\pi\)
−0.498522 + 0.866877i \(0.666124\pi\)
\(654\) 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 −0.967451 0.253059i \(-0.918563\pi\)
0.995658 + 0.0930900i \(0.0296744\pi\)
\(660\) −863.080 + 1018.86i −0.0509020 + 0.0600896i
\(661\) 26790.5 + 9750.96i 1.57645 + 0.573780i 0.974427 0.224702i \(-0.0721410\pi\)
0.602019 + 0.798482i \(0.294363\pi\)
\(662\) −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 −0.868737 0.495274i \(-0.835068\pi\)
−0.347135 + 0.937815i \(0.612845\pi\)
\(674\) 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 −0.335360 0.942090i \(-0.608858\pi\)
0.348663 + 0.937248i \(0.386636\pi\)
\(678\) 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 −0.950792 0.309831i \(-0.899727\pi\)
0.743717 + 0.668494i \(0.233061\pi\)
\(684\) 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 −0.945954 0.324301i \(-0.894871\pi\)
0.999823 + 0.0187922i \(0.00598210\pi\)
\(692\) 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 −0.962869 0.269968i \(-0.912987\pi\)
−0.433067 0.901362i \(-0.642569\pi\)
\(710\) 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 0.973133 + 0.230243i \(0.0739521\pi\)
−0.287170 + 0.957880i \(0.592715\pi\)
\(720\) 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 0.0299770 0.999551i \(-0.490457\pi\)
0.665462 + 0.746431i \(0.268234\pi\)
\(728\) −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 −0.430878 0.902410i \(-0.641796\pi\)
0.813879 + 0.581034i \(0.197352\pi\)
\(734\) 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 0.842900 0.538070i \(-0.180846\pi\)
−0.887432 + 0.460938i \(0.847513\pi\)
\(740\) 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 0.718087 0.695953i \(-0.245018\pi\)
0.102737 + 0.994709i \(0.467240\pi\)
\(744\) −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 0.376328 + 0.926486i \(0.377186\pi\)
−0.0367561 + 0.999324i \(0.511702\pi\)
\(752\) −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