Properties

Label 27.4.e.a.25.5
Level 27
Weight 4
Character 27.25
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.5
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.111911 - 0.634678i) q^{2} +(-0.446524 + 5.17693i) q^{3} +(7.12725 + 2.59411i) q^{4} +(-0.393954 + 0.330567i) q^{5} +(3.23571 + 0.862753i) q^{6} +(9.02395 - 3.28445i) q^{7} +(5.02191 - 8.69820i) q^{8} +(-26.6012 - 4.62325i) q^{9} +O(q^{10})\) \(q+(0.111911 - 0.634678i) q^{2} +(-0.446524 + 5.17693i) q^{3} +(7.12725 + 2.59411i) q^{4} +(-0.393954 + 0.330567i) q^{5} +(3.23571 + 0.862753i) q^{6} +(9.02395 - 3.28445i) q^{7} +(5.02191 - 8.69820i) q^{8} +(-26.6012 - 4.62325i) q^{9} +(0.165716 + 0.287028i) q^{10} +(-31.1376 - 26.1275i) q^{11} +(-16.6120 + 35.7389i) q^{12} +(-0.304384 - 1.72625i) q^{13} +(-1.07469 - 6.09486i) q^{14} +(-1.53541 - 2.18708i) q^{15} +(41.5229 + 34.8419i) q^{16} +(-37.5984 - 65.1223i) q^{17} +(-5.91124 + 16.3658i) q^{18} +(42.1545 - 73.0137i) q^{19} +(-3.66533 + 1.33407i) q^{20} +(12.9740 + 48.1829i) q^{21} +(-20.0672 + 16.8384i) q^{22} +(121.405 + 44.1880i) q^{23} +(42.7876 + 29.8820i) q^{24} +(-21.6601 + 122.841i) q^{25} -1.12968 q^{26} +(35.8123 - 135.648i) q^{27} +72.8361 q^{28} +(-45.3923 + 257.433i) q^{29} +(-1.55992 + 0.729733i) q^{30} +(-284.215 - 103.446i) q^{31} +(88.3123 - 74.1029i) q^{32} +(149.164 - 149.530i) q^{33} +(-45.5393 + 16.5750i) q^{34} +(-2.46929 + 4.27694i) q^{35} +(-177.600 - 101.957i) q^{36} +(-103.323 - 178.961i) q^{37} +(-41.6226 - 34.9255i) q^{38} +(9.07259 - 0.804965i) q^{39} +(0.896935 + 5.08677i) q^{40} +(54.5513 + 309.376i) q^{41} +(32.0325 - 2.84209i) q^{42} +(99.6799 + 83.6413i) q^{43} +(-154.148 - 266.991i) q^{44} +(12.0080 - 6.97214i) q^{45} +(41.6317 - 72.1082i) q^{46} +(-186.753 + 67.9727i) q^{47} +(-198.915 + 199.404i) q^{48} +(-192.109 + 161.199i) q^{49} +(75.5401 + 27.4944i) q^{50} +(353.922 - 165.566i) q^{51} +(2.30865 - 13.0930i) q^{52} +527.620 q^{53} +(-82.0852 - 37.9098i) q^{54} +20.9037 q^{55} +(16.7487 - 94.9863i) q^{56} +(359.164 + 250.833i) q^{57} +(158.307 + 57.6190i) q^{58} +(-59.2219 + 49.6931i) q^{59} +(-5.26974 - 19.5709i) q^{60} +(251.901 - 91.6844i) q^{61} +(-97.4613 + 168.808i) q^{62} +(-255.233 + 45.6504i) q^{63} +(179.669 + 311.196i) q^{64} +(0.690554 + 0.579443i) q^{65} +(-78.2106 - 111.405i) q^{66} +(15.6338 + 88.6636i) q^{67} +(-99.0389 - 561.677i) q^{68} +(-282.968 + 608.776i) q^{69} +(2.43814 + 2.04584i) q^{70} +(-360.735 - 624.811i) q^{71} +(-173.803 + 208.165i) q^{72} +(66.7796 - 115.666i) q^{73} +(-125.145 + 45.5491i) q^{74} +(-626.265 - 166.984i) q^{75} +(489.851 - 411.034i) q^{76} +(-366.798 - 133.504i) q^{77} +(0.504427 - 5.84825i) q^{78} +(21.9986 - 124.760i) q^{79} -27.8757 q^{80} +(686.251 + 245.968i) q^{81} +202.459 q^{82} +(146.748 - 832.248i) q^{83} +(-32.5231 + 377.068i) q^{84} +(36.3393 + 13.2264i) q^{85} +(64.2405 - 53.9042i) q^{86} +(-1312.44 - 349.943i) q^{87} +(-383.633 + 139.631i) q^{88} +(-693.455 + 1201.10i) q^{89} +(-3.08124 - 8.40144i) q^{90} +(-8.41652 - 14.5778i) q^{91} +(750.658 + 629.877i) q^{92} +(662.440 - 1425.17i) q^{93} +(22.2410 + 126.135i) q^{94} +(7.52897 + 42.6989i) q^{95} +(344.192 + 490.276i) q^{96} +(-216.678 - 181.815i) q^{97} +(80.8102 + 139.967i) q^{98} +(707.504 + 838.981i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.111911 0.634678i 0.0395664 0.224392i −0.958613 0.284714i \(-0.908101\pi\)
0.998179 + 0.0603214i \(0.0192126\pi\)
\(3\) −0.446524 + 5.17693i −0.0859336 + 0.996301i
\(4\) 7.12725 + 2.59411i 0.890906 + 0.324263i
\(5\) −0.393954 + 0.330567i −0.0352363 + 0.0295668i −0.660236 0.751058i \(-0.729544\pi\)
0.624999 + 0.780625i \(0.285099\pi\)
\(6\) 3.23571 + 0.862753i 0.220162 + 0.0587029i
\(7\) 9.02395 3.28445i 0.487247 0.177344i −0.0867021 0.996234i \(-0.527633\pi\)
0.573949 + 0.818891i \(0.305411\pi\)
\(8\) 5.02191 8.69820i 0.221939 0.384410i
\(9\) −26.6012 4.62325i −0.985231 0.171231i
\(10\) 0.165716 + 0.287028i 0.00524039 + 0.00907662i
\(11\) −31.1376 26.1275i −0.853484 0.716158i 0.107070 0.994252i \(-0.465853\pi\)
−0.960554 + 0.278093i \(0.910298\pi\)
\(12\) −16.6120 + 35.7389i −0.399623 + 0.859745i
\(13\) −0.304384 1.72625i −0.00649392 0.0368289i 0.981389 0.192032i \(-0.0615078\pi\)
−0.987883 + 0.155203i \(0.950397\pi\)
\(14\) −1.07469 6.09486i −0.0205159 0.116351i
\(15\) −1.53541 2.18708i −0.0264294 0.0376468i
\(16\) 41.5229 + 34.8419i 0.648796 + 0.544405i
\(17\) −37.5984 65.1223i −0.536409 0.929087i −0.999094 0.0425646i \(-0.986447\pi\)
0.462685 0.886523i \(-0.346886\pi\)
\(18\) −5.91124 + 16.3658i −0.0774051 + 0.214303i
\(19\) 42.1545 73.0137i 0.508995 0.881605i −0.490951 0.871187i \(-0.663350\pi\)
0.999946 0.0104179i \(-0.00331617\pi\)
\(20\) −3.66533 + 1.33407i −0.0409797 + 0.0149154i
\(21\) 12.9740 + 48.1829i 0.134817 + 0.500685i
\(22\) −20.0672 + 16.8384i −0.194470 + 0.163180i
\(23\) 121.405 + 44.1880i 1.10064 + 0.400601i 0.827553 0.561388i \(-0.189732\pi\)
0.273089 + 0.961989i \(0.411954\pi\)
\(24\) 42.7876 + 29.8820i 0.363916 + 0.254152i
\(25\) −21.6601 + 122.841i −0.173281 + 0.982724i
\(26\) −1.12968 −0.00852106
\(27\) 35.8123 135.648i 0.255262 0.966872i
\(28\) 72.8361 0.491598
\(29\) −45.3923 + 257.433i −0.290660 + 1.64841i 0.393677 + 0.919249i \(0.371203\pi\)
−0.684337 + 0.729166i \(0.739908\pi\)
\(30\) −1.55992 + 0.729733i −0.00949337 + 0.00444102i
\(31\) −284.215 103.446i −1.64666 0.599335i −0.658475 0.752603i \(-0.728798\pi\)
−0.988185 + 0.153267i \(0.951020\pi\)
\(32\) 88.3123 74.1029i 0.487861 0.409364i
\(33\) 149.164 149.530i 0.786852 0.788785i
\(34\) −45.5393 + 16.5750i −0.229704 + 0.0836054i
\(35\) −2.46929 + 4.27694i −0.0119253 + 0.0206553i
\(36\) −177.600 101.957i −0.822224 0.472025i
\(37\) −103.323 178.961i −0.459086 0.795161i 0.539827 0.841776i \(-0.318490\pi\)
−0.998913 + 0.0466154i \(0.985156\pi\)
\(38\) −41.6226 34.9255i −0.177686 0.149097i
\(39\) 9.07259 0.804965i 0.0372507 0.00330506i
\(40\) 0.896935 + 5.08677i 0.00354545 + 0.0201072i
\(41\) 54.5513 + 309.376i 0.207792 + 1.17845i 0.892985 + 0.450087i \(0.148607\pi\)
−0.685192 + 0.728362i \(0.740282\pi\)
\(42\) 32.0325 2.84209i 0.117684 0.0104415i
\(43\) 99.6799 + 83.6413i 0.353513 + 0.296632i 0.802199 0.597057i \(-0.203663\pi\)
−0.448686 + 0.893689i \(0.648108\pi\)
\(44\) −154.148 266.991i −0.528151 0.914784i
\(45\) 12.0080 6.97214i 0.0397787 0.0230965i
\(46\) 41.6317 72.1082i 0.133440 0.231125i
\(47\) −186.753 + 67.9727i −0.579591 + 0.210954i −0.615145 0.788414i \(-0.710903\pi\)
0.0355541 + 0.999368i \(0.488680\pi\)
\(48\) −198.915 + 199.404i −0.598144 + 0.599613i
\(49\) −192.109 + 161.199i −0.560085 + 0.469967i
\(50\) 75.5401 + 27.4944i 0.213660 + 0.0777658i
\(51\) 353.922 165.566i 0.971746 0.454585i
\(52\) 2.30865 13.0930i 0.00615677 0.0349168i
\(53\) 527.620 1.36744 0.683719 0.729746i \(-0.260362\pi\)
0.683719 + 0.729746i \(0.260362\pi\)
\(54\) −82.0852 37.9098i −0.206859 0.0955346i
\(55\) 20.9037 0.0512482
\(56\) 16.7487 94.9863i 0.0399667 0.226662i
\(57\) 359.164 + 250.833i 0.834604 + 0.582872i
\(58\) 158.307 + 57.6190i 0.358391 + 0.130444i
\(59\) −59.2219 + 49.6931i −0.130679 + 0.109652i −0.705784 0.708427i \(-0.749405\pi\)
0.575106 + 0.818079i \(0.304961\pi\)
\(60\) −5.26974 19.5709i −0.0113387 0.0421098i
\(61\) 251.901 91.6844i 0.528731 0.192442i −0.0638405 0.997960i \(-0.520335\pi\)
0.592572 + 0.805518i \(0.298113\pi\)
\(62\) −97.4613 + 168.808i −0.199639 + 0.345784i
\(63\) −255.233 + 45.6504i −0.510418 + 0.0912923i
\(64\) 179.669 + 311.196i 0.350916 + 0.607805i
\(65\) 0.690554 + 0.579443i 0.00131773 + 0.00110571i
\(66\) −78.2106 111.405i −0.145864 0.207773i
\(67\) 15.6338 + 88.6636i 0.0285070 + 0.161671i 0.995738 0.0922265i \(-0.0293984\pi\)
−0.967231 + 0.253898i \(0.918287\pi\)
\(68\) −99.0389 561.677i −0.176621 1.00167i
\(69\) −282.968 + 608.776i −0.493701 + 1.06215i
\(70\) 2.43814 + 2.04584i 0.00416304 + 0.00349321i
\(71\) −360.735 624.811i −0.602977 1.04439i −0.992368 0.123314i \(-0.960648\pi\)
0.389391 0.921073i \(-0.372686\pi\)
\(72\) −173.803 + 208.165i −0.284484 + 0.340730i
\(73\) 66.7796 115.666i 0.107068 0.185447i −0.807513 0.589849i \(-0.799187\pi\)
0.914581 + 0.404402i \(0.132520\pi\)
\(74\) −125.145 + 45.5491i −0.196592 + 0.0715538i
\(75\) −626.265 166.984i −0.964198 0.257089i
\(76\) 489.851 411.034i 0.739339 0.620379i
\(77\) −366.798 133.504i −0.542864 0.197586i
\(78\) 0.504427 5.84825i 0.000732245 0.00848954i
\(79\) 21.9986 124.760i 0.0313296 0.177679i −0.965128 0.261780i \(-0.915691\pi\)
0.996457 + 0.0841006i \(0.0268017\pi\)
\(80\) −27.8757 −0.0389575
\(81\) 686.251 + 245.968i 0.941360 + 0.337405i
\(82\) 202.459 0.272657
\(83\) 146.748 832.248i 0.194068 1.10062i −0.719671 0.694315i \(-0.755708\pi\)
0.913740 0.406300i \(-0.133181\pi\)
\(84\) −32.5231 + 377.068i −0.0422447 + 0.489779i
\(85\) 36.3393 + 13.2264i 0.0463712 + 0.0168777i
\(86\) 64.2405 53.9042i 0.0805492 0.0675888i
\(87\) −1312.44 349.943i −1.61734 0.431239i
\(88\) −383.633 + 139.631i −0.464720 + 0.169144i
\(89\) −693.455 + 1201.10i −0.825912 + 1.43052i 0.0753091 + 0.997160i \(0.476006\pi\)
−0.901221 + 0.433361i \(0.857328\pi\)
\(90\) −3.08124 8.40144i −0.00360879 0.00983988i
\(91\) −8.41652 14.5778i −0.00969551 0.0167931i
\(92\) 750.658 + 629.877i 0.850669 + 0.713796i
\(93\) 662.440 1425.17i 0.738621 1.58907i
\(94\) 22.2410 + 126.135i 0.0244041 + 0.138403i
\(95\) 7.52897 + 42.6989i 0.00813112 + 0.0461139i
\(96\) 344.192 + 490.276i 0.365926 + 0.521235i
\(97\) −216.678 181.815i −0.226808 0.190314i 0.522301 0.852761i \(-0.325074\pi\)
−0.749109 + 0.662447i \(0.769518\pi\)
\(98\) 80.8102 + 139.967i 0.0832965 + 0.144274i
\(99\) 707.504 + 838.981i 0.718250 + 0.851725i
\(100\) −473.038 + 819.326i −0.473038 + 0.819326i
\(101\) 436.501 158.873i 0.430034 0.156520i −0.117929 0.993022i \(-0.537626\pi\)
0.547963 + 0.836502i \(0.315403\pi\)
\(102\) −65.4731 243.155i −0.0635568 0.236039i
\(103\) 248.422 208.451i 0.237648 0.199410i −0.516184 0.856478i \(-0.672648\pi\)
0.753832 + 0.657068i \(0.228203\pi\)
\(104\) −16.5439 6.02147i −0.0155986 0.00567744i
\(105\) −21.0388 14.6931i −0.0195541 0.0136562i
\(106\) 59.0464 334.869i 0.0541046 0.306843i
\(107\) 2130.35 1.92475 0.962376 0.271722i \(-0.0875932\pi\)
0.962376 + 0.271722i \(0.0875932\pi\)
\(108\) 607.130 873.899i 0.540936 0.778620i
\(109\) −1208.72 −1.06215 −0.531077 0.847323i \(-0.678213\pi\)
−0.531077 + 0.847323i \(0.678213\pi\)
\(110\) 2.33934 13.2671i 0.00202771 0.0114997i
\(111\) 972.603 454.986i 0.831670 0.389057i
\(112\) 489.137 + 178.031i 0.412671 + 0.150200i
\(113\) −737.089 + 618.491i −0.613624 + 0.514892i −0.895792 0.444473i \(-0.853391\pi\)
0.282168 + 0.959365i \(0.408946\pi\)
\(114\) 199.393 199.882i 0.163814 0.164217i
\(115\) −62.4352 + 22.7246i −0.0506271 + 0.0184268i
\(116\) −991.330 + 1717.03i −0.793471 + 1.37433i
\(117\) 0.116120 + 47.3276i 9.17550e−5 + 0.0373969i
\(118\) 24.9115 + 43.1480i 0.0194347 + 0.0336618i
\(119\) −553.177 464.170i −0.426131 0.357567i
\(120\) −26.7344 + 2.37201i −0.0203375 + 0.00180445i
\(121\) 55.7749 + 316.315i 0.0419045 + 0.237652i
\(122\) −29.9996 170.136i −0.0222626 0.126258i
\(123\) −1625.98 + 144.265i −1.19195 + 0.105755i
\(124\) −1757.32 1474.57i −1.27268 1.06790i
\(125\) −64.2158 111.225i −0.0459491 0.0795862i
\(126\) 0.409986 + 167.099i 0.000289876 + 0.118146i
\(127\) −408.496 + 707.535i −0.285418 + 0.494359i −0.972711 0.232022i \(-0.925466\pi\)
0.687292 + 0.726381i \(0.258799\pi\)
\(128\) 1084.27 394.640i 0.748722 0.272512i
\(129\) −477.515 + 478.688i −0.325914 + 0.326714i
\(130\) 0.445040 0.373433i 0.000300251 0.000251940i
\(131\) −867.673 315.807i −0.578694 0.210627i 0.0360555 0.999350i \(-0.488521\pi\)
−0.614750 + 0.788722i \(0.710743\pi\)
\(132\) 1451.03 678.793i 0.956786 0.447586i
\(133\) 140.590 797.326i 0.0916595 0.519827i
\(134\) 58.0224 0.0374058
\(135\) 30.7324 + 65.2776i 0.0195928 + 0.0416163i
\(136\) −755.263 −0.476201
\(137\) 89.6988 508.707i 0.0559378 0.317239i −0.943981 0.330001i \(-0.892951\pi\)
0.999919 + 0.0127613i \(0.00406217\pi\)
\(138\) 354.710 + 247.722i 0.218803 + 0.152808i
\(139\) 1482.07 + 539.428i 0.904369 + 0.329163i 0.752002 0.659161i \(-0.229088\pi\)
0.152367 + 0.988324i \(0.451311\pi\)
\(140\) −28.6941 + 24.0772i −0.0173221 + 0.0145350i
\(141\) −268.500 997.161i −0.160367 0.595575i
\(142\) −436.924 + 159.027i −0.258210 + 0.0939808i
\(143\) −35.6248 + 61.7040i −0.0208328 + 0.0360835i
\(144\) −943.479 1118.81i −0.545995 0.647458i
\(145\) −67.2162 116.422i −0.0384965 0.0666780i
\(146\) −65.9370 55.3277i −0.0373766 0.0313627i
\(147\) −748.734 1066.52i −0.420099 0.598399i
\(148\) −272.166 1543.53i −0.151161 0.857279i
\(149\) 151.290 + 858.006i 0.0831820 + 0.471749i 0.997734 + 0.0672805i \(0.0214322\pi\)
−0.914552 + 0.404468i \(0.867457\pi\)
\(150\) −176.067 + 378.789i −0.0958386 + 0.206187i
\(151\) 1827.75 + 1533.66i 0.985033 + 0.826541i 0.984841 0.173459i \(-0.0554945\pi\)
0.000191679 1.00000i \(0.499939\pi\)
\(152\) −423.392 733.337i −0.225932 0.391326i
\(153\) 699.087 + 1906.16i 0.369398 + 1.00722i
\(154\) −125.780 + 217.858i −0.0658161 + 0.113997i
\(155\) 146.163 53.1991i 0.0757427 0.0275681i
\(156\) 66.7507 + 17.7981i 0.0342586 + 0.00913453i
\(157\) −947.000 + 794.627i −0.481394 + 0.403937i −0.850930 0.525279i \(-0.823961\pi\)
0.369536 + 0.929216i \(0.379517\pi\)
\(158\) −76.7208 27.9241i −0.0386302 0.0140603i
\(159\) −235.595 + 2731.45i −0.117509 + 1.36238i
\(160\) −10.2951 + 58.3862i −0.00508685 + 0.0288490i
\(161\) 1240.69 0.607329
\(162\) 232.909 408.022i 0.112957 0.197884i
\(163\) 3274.82 1.57364 0.786822 0.617180i \(-0.211725\pi\)
0.786822 + 0.617180i \(0.211725\pi\)
\(164\) −413.753 + 2346.51i −0.197004 + 1.11727i
\(165\) −9.33398 + 108.217i −0.00440394 + 0.0510586i
\(166\) −511.786 186.275i −0.239291 0.0870948i
\(167\) 1454.32 1220.32i 0.673883 0.565455i −0.240329 0.970692i \(-0.577255\pi\)
0.914212 + 0.405236i \(0.132811\pi\)
\(168\) 484.259 + 129.120i 0.222389 + 0.0592967i
\(169\) 2061.62 750.367i 0.938378 0.341542i
\(170\) 12.4613 21.5836i 0.00562198 0.00973755i
\(171\) −1458.92 + 1747.36i −0.652436 + 0.781429i
\(172\) 493.469 + 854.713i 0.218760 + 0.378903i
\(173\) −1643.25 1378.85i −0.722160 0.605964i 0.205822 0.978589i \(-0.434013\pi\)
−0.927982 + 0.372626i \(0.878458\pi\)
\(174\) −368.977 + 793.815i −0.160759 + 0.345856i
\(175\) 208.004 + 1179.65i 0.0898492 + 0.509560i
\(176\) −382.591 2169.78i −0.163857 0.929282i
\(177\) −230.814 328.777i −0.0980171 0.139618i
\(178\) 684.706 + 574.537i 0.288320 + 0.241929i
\(179\) −1780.29 3083.56i −0.743382 1.28757i −0.950947 0.309354i \(-0.899887\pi\)
0.207565 0.978221i \(-0.433446\pi\)
\(180\) 103.670 18.5422i 0.0429284 0.00767809i
\(181\) 1888.78 3271.46i 0.775645 1.34346i −0.158787 0.987313i \(-0.550758\pi\)
0.934431 0.356143i \(-0.115908\pi\)
\(182\) −10.1941 + 3.71036i −0.00415186 + 0.00151115i
\(183\) 362.164 + 1345.01i 0.146295 + 0.543313i
\(184\) 994.043 834.101i 0.398271 0.334189i
\(185\) 99.8630 + 36.3471i 0.0396869 + 0.0144448i
\(186\) −830.388 579.927i −0.327350 0.228615i
\(187\) −530.762 + 3010.10i −0.207557 + 1.17712i
\(188\) −1507.37 −0.584766
\(189\) −122.361 1341.71i −0.0470925 0.516375i
\(190\) 27.9426 0.0106693
\(191\) −84.2917 + 478.042i −0.0319326 + 0.181099i −0.996602 0.0823631i \(-0.973753\pi\)
0.964670 + 0.263462i \(0.0848644\pi\)
\(192\) −1691.27 + 791.178i −0.635712 + 0.297387i
\(193\) −3259.23 1186.26i −1.21557 0.442431i −0.346936 0.937889i \(-0.612778\pi\)
−0.868632 + 0.495458i \(0.835000\pi\)
\(194\) −139.642 + 117.174i −0.0516790 + 0.0433639i
\(195\) −3.30809 + 3.31621i −0.00121486 + 0.00121784i
\(196\) −1787.38 + 650.552i −0.651377 + 0.237082i
\(197\) 977.466 1693.02i 0.353511 0.612298i −0.633351 0.773864i \(-0.718321\pi\)
0.986862 + 0.161566i \(0.0516545\pi\)
\(198\) 611.660 355.146i 0.219539 0.127470i
\(199\) −665.106 1152.00i −0.236925 0.410367i 0.722905 0.690947i \(-0.242806\pi\)
−0.959830 + 0.280581i \(0.909473\pi\)
\(200\) 959.717 + 805.298i 0.339311 + 0.284716i
\(201\) −465.986 + 41.3446i −0.163523 + 0.0145086i
\(202\) −51.9841 294.817i −0.0181069 0.102689i
\(203\) 435.906 + 2472.15i 0.150712 + 0.854732i
\(204\) 2951.99 261.915i 1.01314 0.0898908i
\(205\) −123.760 103.847i −0.0421648 0.0353805i
\(206\) −104.498 180.996i −0.0353432 0.0612163i
\(207\) −3025.24 1736.74i −1.01579 0.583149i
\(208\) 47.5068 82.2842i 0.0158366 0.0274297i
\(209\) −3220.26 + 1172.08i −1.06579 + 0.387915i
\(210\) −11.6799 + 11.7085i −0.00383803 + 0.00384746i
\(211\) −2707.90 + 2272.19i −0.883504 + 0.741348i −0.966896 0.255169i \(-0.917869\pi\)
0.0833927 + 0.996517i \(0.473424\pi\)
\(212\) 3760.48 + 1368.70i 1.21826 + 0.443410i
\(213\) 3395.68 1588.51i 1.09234 0.510999i
\(214\) 238.409 1352.08i 0.0761555 0.431900i
\(215\) −66.9183 −0.0212269
\(216\) −1000.05 992.717i −0.315022 0.312712i
\(217\) −2904.50 −0.908619
\(218\) −135.269 + 767.151i −0.0420257 + 0.238339i
\(219\) 568.974 + 397.361i 0.175560 + 0.122608i
\(220\) 148.986 + 54.2263i 0.0456573 + 0.0166179i
\(221\) −100.973 + 84.7264i −0.0307338 + 0.0257888i
\(222\) −179.924 668.207i −0.0543952 0.202014i
\(223\) 736.550 268.082i 0.221180 0.0805028i −0.229054 0.973414i \(-0.573563\pi\)
0.450233 + 0.892911i \(0.351341\pi\)
\(224\) 553.539 958.757i 0.165111 0.285981i
\(225\) 1144.11 3167.57i 0.338995 0.938539i
\(226\) 310.054 + 537.030i 0.0912589 + 0.158065i
\(227\) 459.784 + 385.805i 0.134436 + 0.112805i 0.707526 0.706687i \(-0.249811\pi\)
−0.573090 + 0.819492i \(0.694256\pi\)
\(228\) 1909.16 + 2719.46i 0.554550 + 0.789916i
\(229\) −357.830 2029.35i −0.103258 0.585605i −0.991902 0.127007i \(-0.959463\pi\)
0.888644 0.458598i \(-0.151648\pi\)
\(230\) 7.43560 + 42.1694i 0.00213169 + 0.0120894i
\(231\) 854.923 1839.28i 0.243506 0.523877i
\(232\) 2011.25 + 1687.64i 0.569158 + 0.477580i
\(233\) 2198.44 + 3807.80i 0.618130 + 1.07063i 0.989827 + 0.142279i \(0.0454429\pi\)
−0.371696 + 0.928354i \(0.621224\pi\)
\(234\) 30.0507 + 5.22277i 0.00839521 + 0.00145907i
\(235\) 51.1028 88.5126i 0.0141854 0.0245699i
\(236\) −550.999 + 200.547i −0.151979 + 0.0553157i
\(237\) 636.053 + 169.594i 0.174330 + 0.0464823i
\(238\) −356.505 + 299.143i −0.0970957 + 0.0814730i
\(239\) 2485.16 + 904.525i 0.672601 + 0.244807i 0.655667 0.755050i \(-0.272387\pi\)
0.0169337 + 0.999857i \(0.494610\pi\)
\(240\) 12.4472 144.311i 0.00334776 0.0388134i
\(241\) −223.747 + 1268.93i −0.0598043 + 0.339167i −0.999999 0.00147066i \(-0.999532\pi\)
0.940195 + 0.340638i \(0.110643\pi\)
\(242\) 207.000 0.0549854
\(243\) −1579.79 + 3442.84i −0.417051 + 0.908883i
\(244\) 2033.20 0.533452
\(245\) 22.3953 127.010i 0.00583992 0.0331198i
\(246\) −90.4028 + 1048.12i −0.0234304 + 0.271648i
\(247\) −138.871 50.5449i −0.0357739 0.0130206i
\(248\) −2327.09 + 1952.66i −0.595849 + 0.499976i
\(249\) 4242.96 + 1131.32i 1.07987 + 0.287930i
\(250\) −77.7785 + 28.3091i −0.0196766 + 0.00716169i
\(251\) 1567.41 2714.84i 0.394161 0.682706i −0.598833 0.800874i \(-0.704369\pi\)
0.992994 + 0.118168i \(0.0377020\pi\)
\(252\) −1937.53 336.739i −0.484337 0.0841769i
\(253\) −2625.75 4547.93i −0.652487 1.13014i
\(254\) 403.342 + 338.444i 0.0996374 + 0.0836057i
\(255\) −84.6987 + 182.220i −0.0208002 + 0.0447493i
\(256\) 370.059 + 2098.71i 0.0903465 + 0.512380i
\(257\) 825.159 + 4679.71i 0.200280 + 1.13584i 0.904696 + 0.426057i \(0.140098\pi\)
−0.704416 + 0.709787i \(0.748791\pi\)
\(258\) 250.373 + 356.638i 0.0604169 + 0.0860594i
\(259\) −1520.17 1275.57i −0.364705 0.306024i
\(260\) 3.41861 + 5.92121i 0.000815436 + 0.00141238i
\(261\) 2397.67 6638.16i 0.568628 1.57430i
\(262\) −297.538 + 515.350i −0.0701600 + 0.121521i
\(263\) −2784.08 + 1013.32i −0.652753 + 0.237583i −0.647104 0.762401i \(-0.724020\pi\)
−0.00564853 + 0.999984i \(0.501798\pi\)
\(264\) −551.558 2048.39i −0.128584 0.477536i
\(265\) −207.858 + 174.414i −0.0481835 + 0.0404307i
\(266\) −490.311 178.459i −0.113019 0.0411354i
\(267\) −5908.37 4126.29i −1.35426 0.945786i
\(268\) −118.577 + 672.484i −0.0270270 + 0.153278i
\(269\) −5521.68 −1.25154 −0.625768 0.780010i \(-0.715214\pi\)
−0.625768 + 0.780010i \(0.715214\pi\)
\(270\) 44.8695 12.1999i 0.0101136 0.00274986i
\(271\) 601.325 0.134789 0.0673946 0.997726i \(-0.478531\pi\)
0.0673946 + 0.997726i \(0.478531\pi\)
\(272\) 707.789 4014.07i 0.157779 0.894812i
\(273\) 79.2267 37.0624i 0.0175642 0.00821655i
\(274\) −312.827 113.860i −0.0689728 0.0251040i
\(275\) 3883.96 3259.03i 0.851679 0.714643i
\(276\) −3596.02 + 3604.85i −0.784257 + 0.786183i
\(277\) −2510.79 + 913.853i −0.544617 + 0.198224i −0.599653 0.800260i \(-0.704695\pi\)
0.0550364 + 0.998484i \(0.482473\pi\)
\(278\) 508.222 880.266i 0.109644 0.189910i
\(279\) 7082.20 + 4065.78i 1.51971 + 0.872443i
\(280\) 24.8011 + 42.9568i 0.00529339 + 0.00916843i
\(281\) 2846.11 + 2388.17i 0.604216 + 0.506998i 0.892798 0.450458i \(-0.148739\pi\)
−0.288582 + 0.957455i \(0.593184\pi\)
\(282\) −662.924 + 58.8179i −0.139988 + 0.0124204i
\(283\) −304.681 1727.93i −0.0639979 0.362950i −0.999942 0.0108007i \(-0.996562\pi\)
0.935944 0.352150i \(-0.114549\pi\)
\(284\) −950.221 5388.97i −0.198540 1.12597i
\(285\) −224.411 + 19.9109i −0.0466420 + 0.00413831i
\(286\) 35.1753 + 29.5156i 0.00727259 + 0.00610243i
\(287\) 1508.40 + 2612.62i 0.310237 + 0.537346i
\(288\) −2691.81 + 1562.94i −0.550752 + 0.319781i
\(289\) −370.779 + 642.208i −0.0754690 + 0.130716i
\(290\) −81.4125 + 29.6317i −0.0164852 + 0.00600012i
\(291\) 1037.99 1040.54i 0.209101 0.209614i
\(292\) 776.004 651.144i 0.155521 0.130498i
\(293\) −6974.36 2538.46i −1.39060 0.506138i −0.465227 0.885191i \(-0.654027\pi\)
−0.925375 + 0.379053i \(0.876250\pi\)
\(294\) −760.685 + 355.850i −0.150898 + 0.0705904i
\(295\) 6.90384 39.1536i 0.00136257 0.00772749i
\(296\) −2075.52 −0.407557
\(297\) −4659.26 + 3288.07i −0.910296 + 0.642402i
\(298\) 561.488 0.109148
\(299\) 39.3255 223.026i 0.00760620 0.0431369i
\(300\) −4030.37 2814.74i −0.775646 0.541696i
\(301\) 1174.22 + 427.382i 0.224854 + 0.0818401i
\(302\) 1177.93 988.397i 0.224444 0.188331i
\(303\) 627.568 + 2330.67i 0.118986 + 0.441894i
\(304\) 4294.32 1563.00i 0.810184 0.294883i
\(305\) −68.9296 + 119.390i −0.0129406 + 0.0224139i
\(306\) 1288.03 230.375i 0.240627 0.0430381i
\(307\) 4911.87 + 8507.61i 0.913144 + 1.58161i 0.809597 + 0.586987i \(0.199686\pi\)
0.103547 + 0.994625i \(0.466981\pi\)
\(308\) −2267.94 1903.03i −0.419571 0.352062i
\(309\) 968.208 + 1379.14i 0.178251 + 0.253905i
\(310\) −17.4070 98.7201i −0.00318920 0.0180868i
\(311\) −388.151 2201.31i −0.0707718 0.401367i −0.999529 0.0306789i \(-0.990233\pi\)
0.928758 0.370688i \(-0.120878\pi\)
\(312\) 38.5600 82.9577i 0.00699689 0.0150531i
\(313\) −221.336 185.723i −0.0399702 0.0335390i 0.622584 0.782553i \(-0.286083\pi\)
−0.662554 + 0.749014i \(0.730527\pi\)
\(314\) 398.352 + 689.967i 0.0715934 + 0.124003i
\(315\) 85.4595 102.356i 0.0152860 0.0183082i
\(316\) 480.432 832.132i 0.0855266 0.148136i
\(317\) 7046.46 2564.70i 1.24848 0.454410i 0.368594 0.929591i \(-0.379839\pi\)
0.879889 + 0.475180i \(0.157617\pi\)
\(318\) 1707.23 + 455.206i 0.301058 + 0.0802726i
\(319\) 8139.48 6829.83i 1.42860 1.19874i
\(320\) −173.652 63.2043i −0.0303358 0.0110413i
\(321\) −951.251 + 11028.7i −0.165401 + 1.91763i
\(322\) 138.846 787.437i 0.0240298 0.136280i
\(323\) −6339.77 −1.09212
\(324\) 4253.02 + 3533.29i 0.729255 + 0.605845i
\(325\) 218.646 0.0373179
\(326\) 366.488 2078.46i 0.0622635 0.353114i
\(327\) 539.725 6257.49i 0.0912747 1.05823i
\(328\) 2964.97 + 1079.16i 0.499125 + 0.181667i
\(329\) −1462.00 + 1226.76i −0.244993 + 0.205573i
\(330\) 67.6382 + 18.0347i 0.0112829 + 0.00300842i
\(331\) −601.688 + 218.996i −0.0999147 + 0.0363660i −0.391494 0.920181i \(-0.628042\pi\)
0.291579 + 0.956547i \(0.405819\pi\)
\(332\) 3204.85 5550.96i 0.529786 0.917616i
\(333\) 1921.14 + 5238.26i 0.316149 + 0.862027i
\(334\) −611.754 1059.59i −0.100221 0.173587i
\(335\) −35.4682 29.7614i −0.00578459 0.00485385i
\(336\) −1140.07 + 2452.73i −0.185107 + 0.398237i
\(337\) 1656.56 + 9394.81i 0.267770 + 1.51860i 0.761029 + 0.648717i \(0.224694\pi\)
−0.493259 + 0.869882i \(0.664195\pi\)
\(338\) −245.524 1392.44i −0.0395111 0.224079i
\(339\) −2872.76 4092.03i −0.460256 0.655601i
\(340\) 224.689 + 188.536i 0.0358396 + 0.0300730i
\(341\) 6146.97 + 10646.9i 0.976179 + 1.69079i
\(342\) 945.744 + 1121.49i 0.149532 + 0.177320i
\(343\) −2851.06 + 4938.19i −0.448813 + 0.777367i
\(344\) 1228.11 446.997i 0.192487 0.0700594i
\(345\) −89.7647 333.370i −0.0140080 0.0520233i
\(346\) −1059.02 + 888.623i −0.164547 + 0.138071i
\(347\) −3480.35 1266.74i −0.538429 0.195972i 0.0584689 0.998289i \(-0.481378\pi\)
−0.596898 + 0.802317i \(0.703600\pi\)
\(348\) −8446.31 5898.74i −1.30106 0.908637i
\(349\) 1791.57 10160.5i 0.274787 1.55839i −0.464850 0.885389i \(-0.653892\pi\)
0.739637 0.673006i \(-0.234997\pi\)
\(350\) 771.974 0.117896
\(351\) −245.063 20.5318i −0.0372664 0.00312223i
\(352\) −4685.95 −0.709552
\(353\) −9.58591 + 54.3644i −0.00144534 + 0.00819695i −0.985522 0.169548i \(-0.945769\pi\)
0.984077 + 0.177745i \(0.0568803\pi\)
\(354\) −234.498 + 109.699i −0.0352074 + 0.0164701i
\(355\) 348.655 + 126.900i 0.0521259 + 0.0189723i
\(356\) −8058.21 + 6761.64i −1.19968 + 1.00665i
\(357\) 2649.99 2656.50i 0.392863 0.393828i
\(358\) −2156.30 + 784.828i −0.318335 + 0.115864i
\(359\) 502.399 870.181i 0.0738597 0.127929i −0.826730 0.562599i \(-0.809802\pi\)
0.900590 + 0.434670i \(0.143135\pi\)
\(360\) −0.342174 139.461i −5.00949e−5 0.0204174i
\(361\) −124.503 215.646i −0.0181518 0.0314399i
\(362\) −1864.95 1564.88i −0.270772 0.227204i
\(363\) −1662.45 + 147.501i −0.240374 + 0.0213272i
\(364\) −22.1702 125.733i −0.00319240 0.0181050i
\(365\) 11.9271 + 67.6421i 0.00171039 + 0.00970013i
\(366\) 894.180 79.3360i 0.127704 0.0113305i
\(367\) −9113.56 7647.18i −1.29625 1.08768i −0.990780 0.135481i \(-0.956742\pi\)
−0.305470 0.952202i \(-0.598814\pi\)
\(368\) 3501.52 + 6064.81i 0.496003 + 0.859103i
\(369\) −20.8109 8481.99i −0.00293597 1.19663i
\(370\) 34.2445 59.3131i 0.00481158 0.00833390i
\(371\) 4761.21 1732.94i 0.666280 0.242506i
\(372\) 8418.41 8439.09i 1.17332 1.17620i
\(373\) −349.502 + 293.267i −0.0485161 + 0.0407098i −0.666723 0.745305i \(-0.732304\pi\)
0.618207 + 0.786015i \(0.287859\pi\)
\(374\) 1851.05 + 673.726i 0.255923 + 0.0931485i
\(375\) 604.478 282.776i 0.0832403 0.0389400i
\(376\) −346.619 + 1965.77i −0.0475412 + 0.269620i
\(377\) 458.209 0.0625968
\(378\) −865.245 72.4914i −0.117734 0.00986390i
\(379\) −5244.85 −0.710845 −0.355422 0.934706i \(-0.615663\pi\)
−0.355422 + 0.934706i \(0.615663\pi\)
\(380\) −57.1047 + 323.857i −0.00770897 + 0.0437198i
\(381\) −3480.46 2430.69i −0.468003 0.326845i
\(382\) 293.969 + 106.996i 0.0393738 + 0.0143309i
\(383\) 1794.93 1506.12i 0.239469 0.200938i −0.515153 0.857098i \(-0.672265\pi\)
0.754622 + 0.656160i \(0.227820\pi\)
\(384\) 1558.87 + 5789.38i 0.207164 + 0.769370i
\(385\) 188.633 68.6570i 0.0249705 0.00908853i
\(386\) −1117.64 + 1935.81i −0.147374 + 0.255259i
\(387\) −2264.91 2685.81i −0.297499 0.352784i
\(388\) −1072.67 1857.92i −0.140352 0.243098i
\(389\) −765.582 642.400i −0.0997855 0.0837299i 0.591530 0.806283i \(-0.298524\pi\)
−0.691316 + 0.722553i \(0.742969\pi\)
\(390\) 1.73452 + 2.47069i 0.000225207 + 0.000320790i
\(391\) −1687.03 9567.60i −0.218201 1.23748i
\(392\) 437.385 + 2480.53i 0.0563553 + 0.319607i
\(393\) 2022.35 4350.87i 0.259577 0.558453i
\(394\) −965.134 809.843i −0.123408 0.103552i
\(395\) 32.5752 + 56.4219i 0.00414946 + 0.00718707i
\(396\) 2866.15 + 7814.97i 0.363711 + 0.991709i
\(397\) −5258.34 + 9107.72i −0.664758 + 1.15139i 0.314593 + 0.949227i \(0.398132\pi\)
−0.979351 + 0.202167i \(0.935201\pi\)
\(398\) −805.579 + 293.207i −0.101457 + 0.0369275i
\(399\) 4064.93 + 1083.85i 0.510027 + 0.135991i
\(400\) −5179.39 + 4346.02i −0.647423 + 0.543253i
\(401\) −8244.37 3000.71i −1.02669 0.373686i −0.226873 0.973924i \(-0.572850\pi\)
−0.799821 + 0.600238i \(0.795072\pi\)
\(402\) −25.9084 + 300.378i −0.00321441 + 0.0372674i
\(403\) −92.0625 + 522.112i −0.0113796 + 0.0645366i
\(404\) 3523.18 0.433874
\(405\) −351.660 + 129.952i −0.0431460 + 0.0159441i
\(406\) 1617.80 0.197759
\(407\) −1458.57 + 8271.97i −0.177638 + 1.00744i
\(408\) 337.243 3909.95i 0.0409216 0.474439i
\(409\) 6620.19 + 2409.55i 0.800360 + 0.291307i 0.709636 0.704569i \(-0.248860\pi\)
0.0907243 + 0.995876i \(0.471082\pi\)
\(410\) −79.7595 + 66.9262i −0.00960742 + 0.00806158i
\(411\) 2593.49 + 691.514i 0.311259 + 0.0829924i
\(412\) 2311.31 841.247i 0.276383 0.100595i
\(413\) −371.201 + 642.939i −0.0442267 + 0.0766028i
\(414\) −1440.83 + 1725.69i −0.171045 + 0.204863i
\(415\) 217.302 + 376.377i 0.0257034 + 0.0445196i
\(416\) −154.801 129.893i −0.0182446 0.0153090i
\(417\) −3454.36 + 7431.69i −0.405661 + 0.872737i
\(418\) 383.510 + 2174.99i 0.0448758 + 0.254503i
\(419\) 111.525 + 632.491i 0.0130032 + 0.0737451i 0.990619 0.136654i \(-0.0436348\pi\)
−0.977616 + 0.210399i \(0.932524\pi\)
\(420\) −111.833 159.298i −0.0129926 0.0185071i
\(421\) 4569.59 + 3834.34i 0.528998 + 0.443882i 0.867755 0.496992i \(-0.165562\pi\)
−0.338757 + 0.940874i \(0.610006\pi\)
\(422\) 1139.07 + 1972.92i 0.131396 + 0.227584i
\(423\) 5282.13 944.750i 0.607153 0.108594i
\(424\) 2649.66 4589.35i 0.303488 0.525657i
\(425\) 8814.05 3208.05i 1.00599 0.366149i
\(426\) −628.176 2332.93i −0.0714442 0.265331i
\(427\) 1972.01 1654.71i 0.223494 0.187534i
\(428\) 15183.5 + 5526.35i 1.71477 + 0.624126i
\(429\) −303.530 211.979i −0.0341598 0.0238566i
\(430\) −7.48888 + 42.4716i −0.000839875 + 0.00476317i
\(431\) −11815.6 −1.32051 −0.660253 0.751043i \(-0.729551\pi\)
−0.660253 + 0.751043i \(0.729551\pi\)
\(432\) 6213.28 4384.75i 0.691983 0.488337i
\(433\) 3726.80 0.413623 0.206811 0.978381i \(-0.433691\pi\)
0.206811 + 0.978381i \(0.433691\pi\)
\(434\) −325.045 + 1843.42i −0.0359508 + 0.203887i
\(435\) 632.721 295.988i 0.0697395 0.0326243i
\(436\) −8614.88 3135.56i −0.946280 0.344418i
\(437\) 8344.11 7001.54i 0.913394 0.766428i
\(438\) 315.870 316.646i 0.0344586 0.0345432i
\(439\) −11389.9 + 4145.60i −1.23830 + 0.450703i −0.876431 0.481527i \(-0.840082\pi\)
−0.361865 + 0.932230i \(0.617860\pi\)
\(440\) 104.976 181.824i 0.0113740 0.0197003i
\(441\) 5855.60 3399.92i 0.632286 0.367122i
\(442\) 42.4740 + 73.5671i 0.00457077 + 0.00791681i
\(443\) 2944.32 + 2470.58i 0.315776 + 0.264968i 0.786875 0.617113i \(-0.211698\pi\)
−0.471098 + 0.882081i \(0.656142\pi\)
\(444\) 8112.27 719.761i 0.867097 0.0769332i
\(445\) −123.854 702.412i −0.0131938 0.0748259i
\(446\) −87.7180 497.473i −0.00931293 0.0528162i
\(447\) −4509.39 + 400.095i −0.477152 + 0.0423353i
\(448\) 2643.43 + 2218.10i 0.278773 + 0.233919i
\(449\) −2582.64 4473.26i −0.271453 0.470170i 0.697781 0.716311i \(-0.254171\pi\)
−0.969234 + 0.246141i \(0.920837\pi\)
\(450\) −1882.35 1080.62i −0.197188 0.113202i
\(451\) 6384.63 11058.5i 0.666609 1.15460i
\(452\) −6857.85 + 2496.05i −0.713642 + 0.259745i
\(453\) −8755.79 + 8777.30i −0.908130 + 0.910361i
\(454\) 296.317 248.639i 0.0306318 0.0257031i
\(455\) 8.13467 + 2.96078i 0.000838152 + 0.000305062i
\(456\) 3985.49 1864.42i 0.409293 0.191468i
\(457\) −1788.70 + 10144.2i −0.183089 + 1.03835i 0.745297 + 0.666733i \(0.232308\pi\)
−0.928386 + 0.371617i \(0.878803\pi\)
\(458\) −1328.03 −0.135491
\(459\) −10180.2 + 2767.98i −1.03523 + 0.281478i
\(460\) −503.941 −0.0510791
\(461\) 850.417 4822.95i 0.0859172 0.487261i −0.911238 0.411881i \(-0.864872\pi\)
0.997155 0.0753799i \(-0.0240169\pi\)
\(462\) −1071.67 748.435i −0.107919 0.0753687i
\(463\) −5384.34 1959.74i −0.540457 0.196710i 0.0573444 0.998354i \(-0.481737\pi\)
−0.597802 + 0.801644i \(0.703959\pi\)
\(464\) −10854.3 + 9107.81i −1.08598 + 0.911248i
\(465\) 210.142 + 780.432i 0.0209573 + 0.0778315i
\(466\) 2662.76 969.164i 0.264699 0.0963426i
\(467\) 5051.03 8748.64i 0.500501 0.866893i −0.499499 0.866314i \(-0.666483\pi\)
1.00000 0.000578251i \(-0.000184063\pi\)
\(468\) −121.945 + 337.617i −0.0120447 + 0.0333469i
\(469\) 432.290 + 748.747i 0.0425614 + 0.0737184i
\(470\) −50.4580 42.3393i −0.00495203 0.00415525i
\(471\) −3690.87 5257.37i −0.361075 0.514325i
\(472\) 134.833 + 764.679i 0.0131488 + 0.0745703i
\(473\) −918.448 5208.78i −0.0892817 0.506342i
\(474\) 178.819 384.709i 0.0173279 0.0372791i
\(475\) 8055.97 + 6759.76i 0.778176 + 0.652967i
\(476\) −2738.52 4743.26i −0.263697 0.456737i
\(477\) −14035.3 2439.32i −1.34724 0.234148i
\(478\) 852.198 1476.05i 0.0815452 0.141240i
\(479\) −17351.2 + 6315.33i −1.65511 + 0.602411i −0.989583 0.143962i \(-0.954016\pi\)
−0.665528 + 0.746373i \(0.731793\pi\)
\(480\) −297.665 79.3677i −0.0283051 0.00754713i
\(481\) −277.481 + 232.834i −0.0263036 + 0.0220713i
\(482\) 780.325 + 284.015i 0.0737403 + 0.0268393i
\(483\) −553.997 + 6422.96i −0.0521900 + 0.605083i
\(484\) −423.034 + 2399.14i −0.0397289 + 0.225314i
\(485\) 145.463 0.0136188
\(486\) 2008.30 + 1387.95i 0.187445 + 0.129544i
\(487\) 12918.0 1.20199 0.600996 0.799252i \(-0.294771\pi\)
0.600996 + 0.799252i \(0.294771\pi\)
\(488\) 467.534 2651.52i 0.0433694 0.245960i
\(489\) −1462.29 + 16953.5i −0.135229 + 1.56782i
\(490\) −78.1040 28.4275i −0.00720078 0.00262087i
\(491\) 14094.2 11826.4i 1.29544 1.08701i 0.304531 0.952502i \(-0.401500\pi\)
0.990913 0.134504i \(-0.0429441\pi\)
\(492\) −11963.0 3189.75i −1.09621 0.292286i
\(493\) 18471.3 6723.00i 1.68743 0.614176i
\(494\) −47.6209 + 82.4818i −0.00433718 + 0.00751221i
\(495\) −556.063 96.6428i −0.0504913 0.00877529i
\(496\) −8197.19 14197.9i −0.742066 1.28530i
\(497\) −5307.41 4453.45i −0.479014 0.401941i
\(498\) 1192.86 2566.31i 0.107336 0.230922i
\(499\) −269.926 1530.83i −0.0242155 0.137333i 0.970303 0.241892i \(-0.0777680\pi\)
−0.994519 + 0.104559i \(0.966657\pi\)
\(500\) −169.152 959.311i −0.0151295 0.0858034i
\(501\) 5668.11 + 8073.80i 0.505454 + 0.719982i
\(502\) −1547.64 1298.62i −0.137599 0.115459i
\(503\) −10145.3 17572.2i −0.899317 1.55766i −0.828370 0.560182i \(-0.810731\pi\)
−0.0709470 0.997480i \(-0.522602\pi\)
\(504\) −884.680 + 2449.32i −0.0781881 + 0.216471i
\(505\) −119.443 + 206.881i −0.0105250 + 0.0182299i
\(506\) −3180.32 + 1157.54i −0.279412 + 0.101698i
\(507\) 2964.04 + 11007.9i 0.259640 + 0.964257i
\(508\) −4746.87 + 3983.10i −0.414583 + 0.347877i
\(509\) −1546.10 562.735i −0.134636 0.0490035i 0.273823 0.961780i \(-0.411712\pi\)
−0.408459 + 0.912776i \(0.633934\pi\)
\(510\) 106.172 + 74.1488i 0.00921842 + 0.00643797i
\(511\) 222.718 1263.09i 0.0192807 0.109346i
\(512\) 10604.2 0.915322
\(513\) −8394.54 8332.98i −0.722472 0.717174i
\(514\) 3062.45 0.262799
\(515\) −28.9599 + 164.240i −0.00247792 + 0.0140530i
\(516\) −4645.14 + 2173.00i −0.396300 + 0.185390i
\(517\) 7591.00 + 2762.90i 0.645748 + 0.235033i
\(518\) −979.700 + 822.066i −0.0830995 + 0.0697288i
\(519\) 7871.94 7891.28i 0.665780 0.667416i
\(520\) 8.50802 3.09667i 0.000717502 0.000261150i
\(521\) −3156.83 + 5467.80i −0.265458 + 0.459786i −0.967683 0.252168i \(-0.918856\pi\)
0.702226 + 0.711954i \(0.252190\pi\)
\(522\) −3944.77 2264.63i −0.330762 0.189885i
\(523\) 7633.72 + 13222.0i 0.638240 + 1.10546i 0.985819 + 0.167813i \(0.0536704\pi\)
−0.347579 + 0.937651i \(0.612996\pi\)
\(524\) −5364.88 4501.67i −0.447263 0.375298i
\(525\) −6199.83 + 550.080i −0.515396 + 0.0457285i
\(526\) 331.565 + 1880.40i 0.0274846 + 0.155873i
\(527\) 3949.39 + 22398.1i 0.326448 + 1.85138i
\(528\) 11403.7 1011.79i 0.939925 0.0833948i
\(529\) 3466.24 + 2908.52i 0.284888 + 0.239050i
\(530\) 87.4349 + 151.442i 0.00716590 + 0.0124117i
\(531\) 1805.12 1048.10i 0.147525 0.0856566i
\(532\) 3070.37 5318.04i 0.250221 0.433395i
\(533\) 517.455 188.338i 0.0420516 0.0153055i
\(534\) −3280.07 + 3288.13i −0.265810 + 0.266463i
\(535\) −839.259 + 704.222i −0.0678212 + 0.0569087i
\(536\) 849.726 + 309.275i 0.0684749 + 0.0249228i
\(537\) 16758.3 7839.57i 1.34669 0.629986i
\(538\) −617.936 + 3504.49i −0.0495188 + 0.280835i
\(539\) 10193.5 0.814595
\(540\) 49.7006 + 544.973i 0.00396069 + 0.0434294i
\(541\) −7691.12 −0.611215 −0.305607 0.952158i \(-0.598859\pi\)
−0.305607 + 0.952158i \(0.598859\pi\)
\(542\) 67.2947 381.647i 0.00533313 0.0302457i
\(543\) 16092.7 + 11238.9i 1.27183 + 0.888223i
\(544\) −8146.15 2964.96i −0.642028 0.233679i
\(545\) 476.182 399.564i 0.0374264 0.0314045i
\(546\) −14.6563 54.4311i −0.00114878 0.00426636i
\(547\) −15250.8 + 5550.83i −1.19209 + 0.433887i −0.860459 0.509520i \(-0.829823\pi\)
−0.331636 + 0.943407i \(0.607601\pi\)
\(548\) 1958.95 3392.99i 0.152704 0.264492i
\(549\) −7124.76 + 1274.32i −0.553875 + 0.0990648i
\(550\) −1633.78 2829.78i −0.126663 0.219386i
\(551\) 16882.6 + 14166.2i 1.30531 + 1.09528i
\(552\) 3874.22 + 5518.54i 0.298728 + 0.425516i
\(553\) −211.255 1198.08i −0.0162450 0.0921298i
\(554\) 299.018 + 1695.81i 0.0229315 + 0.130051i
\(555\) −232.758 + 500.754i −0.0178018 + 0.0382988i
\(556\) 9163.72 + 7689.28i 0.698972 + 0.586507i
\(557\) −4337.76 7513.21i −0.329976 0.571535i 0.652531 0.757762i \(-0.273707\pi\)
−0.982507 + 0.186227i \(0.940374\pi\)
\(558\) 3373.03 4039.91i 0.255899 0.306493i
\(559\) 114.045 197.531i 0.00862894 0.0149458i
\(560\) −251.549 + 91.5563i −0.0189819 + 0.00690886i
\(561\) −15346.1 4091.80i −1.15492 0.307943i
\(562\) 1834.23 1539.10i 0.137673 0.115521i
\(563\) 9900.05 + 3603.32i 0.741096 + 0.269737i 0.684854 0.728680i \(-0.259866\pi\)
0.0562422 + 0.998417i \(0.482088\pi\)
\(564\) 673.075 7803.53i 0.0502510 0.582603i
\(565\) 85.9267 487.314i 0.00639816 0.0362858i
\(566\) −1130.78 −0.0839754
\(567\) 7000.56 34.3526i 0.518511 0.00254440i
\(568\) −7246.32 −0.535297
\(569\) 659.397 3739.63i 0.0485824 0.275524i −0.950833 0.309703i \(-0.899770\pi\)
0.999416 + 0.0341786i \(0.0108815\pi\)
\(570\) −12.4771 + 144.657i −0.000916853 + 0.0106299i
\(571\) 242.799 + 88.3714i 0.0177948 + 0.00647676i 0.350902 0.936412i \(-0.385875\pi\)
−0.333107 + 0.942889i \(0.608097\pi\)
\(572\) −413.974 + 347.365i −0.0302607 + 0.0253917i
\(573\) −2437.15 649.830i −0.177685 0.0473770i
\(574\) 1826.98 664.966i 0.132851 0.0483539i
\(575\) −8057.72 + 13956.4i −0.584401 + 1.01221i
\(576\) −3340.68 9108.85i −0.241658 0.658916i
\(577\) −5430.30 9405.55i −0.391796 0.678611i 0.600890 0.799331i \(-0.294813\pi\)
−0.992687 + 0.120721i \(0.961479\pi\)
\(578\) 366.101 + 307.195i 0.0263457 + 0.0221066i
\(579\) 7596.53 16343.1i 0.545252 1.17305i
\(580\) −177.056 1004.13i −0.0126756 0.0718868i
\(581\) −1409.23 7992.14i −0.100628 0.570688i
\(582\) −544.247 775.239i −0.0387625 0.0552143i
\(583\) −16428.8 13785.4i −1.16709 0.979302i
\(584\) −670.722 1161.72i −0.0475251 0.0823160i
\(585\) −15.6907 18.6065i −0.00110894 0.00131502i
\(586\) −2391.61 + 4142.39i −0.168595 + 0.292014i
\(587\) −19177.0 + 6979.86i −1.34842 + 0.490783i −0.912453 0.409182i \(-0.865814\pi\)
−0.435963 + 0.899965i \(0.643592\pi\)
\(588\) −2569.76 9543.62i −0.180230 0.669340i
\(589\) −19533.9 + 16390.9i −1.36652 + 1.14665i
\(590\) −24.0773 8.76342i −0.00168008 0.000611499i
\(591\) 8328.19 + 5816.25i 0.579655 + 0.404820i
\(592\) 1945.05 11030.9i 0.135036 0.765826i
\(593\) 15542.4 1.07631 0.538153 0.842847i \(-0.319122\pi\)
0.538153 + 0.842847i \(0.319122\pi\)
\(594\) 1565.44 + 3325.10i 0.108133 + 0.229681i
\(595\) 371.366 0.0255874
\(596\) −1147.48 + 6507.68i −0.0788634 + 0.447257i
\(597\) 6260.80 2928.81i 0.429208 0.200785i
\(598\) −137.149 49.9180i −0.00937864 0.00341355i
\(599\) −6110.15 + 5127.02i −0.416784 + 0.349724i −0.826938 0.562293i \(-0.809919\pi\)
0.410154 + 0.912016i \(0.365475\pi\)
\(600\) −4597.51 + 4608.80i −0.312821 + 0.313589i
\(601\) 5695.33 2072.93i 0.386551 0.140693i −0.141432 0.989948i \(-0.545171\pi\)
0.527983 + 0.849255i \(0.322948\pi\)
\(602\) 402.658 697.423i 0.0272610 0.0472174i
\(603\) −5.96418 2430.84i −0.000402786 0.164165i
\(604\) 9048.33 + 15672.2i 0.609555 + 1.05578i
\(605\) −126.536 106.176i −0.00850318 0.00713501i
\(606\) 1549.46 137.476i 0.103865 0.00921545i
\(607\) −3020.71 17131.3i −0.201988 1.14553i −0.902109 0.431508i \(-0.857982\pi\)
0.700121 0.714025i \(-0.253130\pi\)
\(608\) −1687.76 9571.78i −0.112579 0.638465i
\(609\) −12992.8 + 1152.78i −0.864522 + 0.0767047i
\(610\) 68.0599 + 57.1090i 0.00451748 + 0.00379062i
\(611\) 174.183 + 301.693i 0.0115330 + 0.0199758i
\(612\) 37.7826 + 15399.2i 0.00249554 + 1.01712i
\(613\) 5434.53 9412.88i 0.358073 0.620200i −0.629566 0.776947i \(-0.716767\pi\)
0.987639 + 0.156747i \(0.0501007\pi\)
\(614\) 5949.28 2165.36i 0.391031 0.142324i
\(615\) 592.871 594.328i 0.0388730 0.0389685i
\(616\) −3003.27 + 2520.04i −0.196437 + 0.164830i
\(617\) −7517.47 2736.13i −0.490505 0.178529i 0.0849133 0.996388i \(-0.472939\pi\)
−0.575419 + 0.817859i \(0.695161\pi\)
\(618\) 983.662 460.159i 0.0640270 0.0299520i
\(619\) −2625.45 + 14889.6i −0.170478 + 0.966826i 0.772758 + 0.634701i \(0.218877\pi\)
−0.943235 + 0.332125i \(0.892234\pi\)
\(620\) 1179.75 0.0764189
\(621\) 10341.8 14886.0i 0.668283 0.961922i
\(622\) −1440.56 −0.0928638
\(623\) −2312.75 + 13116.3i −0.148730 + 0.843487i
\(624\) 404.767 + 282.681i 0.0259674 + 0.0181351i
\(625\) −14589.6 5310.17i −0.933732 0.339851i
\(626\) −142.644 + 119.693i −0.00910737 + 0.00764199i
\(627\) −4629.84 17194.4i −0.294893 1.09518i
\(628\) −8810.85 + 3206.89i −0.559859 + 0.203772i
\(629\) −7769.56 + 13457.3i −0.492516 + 0.853063i
\(630\) −55.3990 65.6940i −0.00350341 0.00415446i
\(631\) −5114.69 8858.89i −0.322682 0.558902i 0.658358 0.752705i \(-0.271251\pi\)
−0.981041 + 0.193803i \(0.937918\pi\)
\(632\) −974.717 817.884i −0.0613483 0.0514774i
\(633\) −10553.9 15033.2i −0.662683 0.943942i
\(634\) −839.184 4759.25i −0.0525682 0.298129i
\(635\) −72.9591 413.771i −0.00455952 0.0258583i
\(636\) −8764.82 + 18856.6i −0.546459 + 1.17565i
\(637\) 336.744 + 282.562i 0.0209455 + 0.0175754i
\(638\) −3423.85 5930.28i −0.212463 0.367997i
\(639\) 6707.34 + 18288.5i 0.415240 + 1.13221i
\(640\) −296.696 + 513.892i −0.0183249 + 0.0317396i
\(641\) 28204.7 10265.7i 1.73794 0.632558i 0.738795 0.673930i \(-0.235395\pi\)
0.999144 + 0.0413721i \(0.0131729\pi\)
\(642\) 6893.19 + 1837.96i 0.423758 + 0.112989i
\(643\) 21277.9 17854.3i 1.30501 1.09503i 0.315751 0.948842i \(-0.397744\pi\)
0.989257 0.146189i \(-0.0467007\pi\)
\(644\) 8842.70 + 3218.48i 0.541073 + 0.196935i
\(645\) 29.8806 346.432i 0.00182411 0.0211484i
\(646\) −709.488 + 4023.71i −0.0432112 + 0.245063i
\(647\) 6120.46 0.371901 0.185951 0.982559i \(-0.440464\pi\)
0.185951 + 0.982559i \(0.440464\pi\)
\(648\) 5585.77 4733.92i 0.338626 0.286985i
\(649\) 3142.38 0.190061
\(650\) 24.4689 138.770i 0.00147654 0.00837385i
\(651\) 1296.93 15036.4i 0.0780809 0.905258i
\(652\) 23340.5 + 8495.24i 1.40197 + 0.510275i
\(653\) −4140.87 + 3474.60i −0.248154 + 0.208226i −0.758377 0.651816i \(-0.774007\pi\)
0.510223 + 0.860042i \(0.329563\pi\)
\(654\) −3911.08 1042.83i −0.233846 0.0623516i
\(655\) 446.219 162.410i 0.0266186 0.00968839i
\(656\) −8514.11 + 14746.9i −0.506738 + 0.877696i
\(657\) −2311.17 + 2768.11i −0.137241 + 0.164375i
\(658\) 614.986 + 1065.19i 0.0364356 + 0.0631084i
\(659\) −191.173 160.413i −0.0113005 0.00948225i 0.637120 0.770765i \(-0.280126\pi\)
−0.648420 + 0.761282i \(0.724570\pi\)
\(660\) −347.252 + 747.075i −0.0204799 + 0.0440604i
\(661\) 5019.50 + 28467.0i 0.295364 + 1.67509i 0.665718 + 0.746203i \(0.268125\pi\)
−0.370354 + 0.928891i \(0.620764\pi\)
\(662\) 71.6568 + 406.386i 0.00420698 + 0.0238590i
\(663\) −393.536 560.563i −0.0230523 0.0328363i
\(664\) −6502.11 5455.92i −0.380016 0.318871i
\(665\) 208.183 + 360.584i 0.0121399 + 0.0210269i
\(666\) 3539.60 633.086i 0.205941 0.0368342i
\(667\) −16886.3 + 29247.9i −0.980270 + 1.69788i
\(668\) 13530.9 4924.85i 0.783723 0.285252i
\(669\) 1058.96 + 3932.78i 0.0611983 + 0.227279i
\(670\) −22.8582 + 19.1803i −0.00131804 + 0.00110597i
\(671\) −10239.1 3726.72i −0.589083 0.214409i
\(672\) 4716.25 + 3293.74i 0.270734 + 0.189076i
\(673\) 4614.50 26170.1i 0.264303 1.49894i −0.506710 0.862116i \(-0.669139\pi\)
0.771013 0.636819i \(-0.219750\pi\)
\(674\) 6148.06 0.351357
\(675\) 15887.4 + 7337.36i 0.905936 + 0.418393i
\(676\) 16640.2 0.946757
\(677\) 1596.16 9052.28i 0.0906137 0.513896i −0.905390 0.424581i \(-0.860421\pi\)
0.996003 0.0893144i \(-0.0284676\pi\)
\(678\) −2918.61 + 1365.33i −0.165323 + 0.0773382i
\(679\) −2552.45 929.017i −0.144262 0.0525072i
\(680\) 297.539 249.665i 0.0167796 0.0140797i
\(681\) −2202.59 + 2208.00i −0.123940 + 0.124245i
\(682\) 7445.24 2709.85i 0.418025 0.152149i
\(683\) −9472.69 + 16407.2i −0.530692 + 0.919185i 0.468667 + 0.883375i \(0.344734\pi\)
−0.999359 + 0.0358099i \(0.988599\pi\)
\(684\) −14931.0 + 8669.30i −0.834648 + 0.484619i
\(685\) 132.824 + 230.059i 0.00740870 + 0.0128322i
\(686\) 2815.09 + 2362.14i 0.156677 + 0.131468i
\(687\) 10665.6 946.306i 0.592312 0.0525529i
\(688\) 1224.78 + 6946.07i 0.0678696 + 0.384908i
\(689\) −160.599 910.803i −0.00888003 0.0503612i
\(690\) −221.628 + 19.6639i −0.0122279 + 0.00108492i
\(691\) 1303.09 + 1093.42i 0.0717393 + 0.0601964i 0.677952 0.735106i \(-0.262868\pi\)
−0.606213 + 0.795302i \(0.707312\pi\)
\(692\) −8134.94 14090.1i −0.446885 0.774027i
\(693\) 9140.06 + 5247.16i 0.501013 + 0.287624i
\(694\) −1193.46 + 2067.14i −0.0652784 + 0.113065i
\(695\) −762.183 + 277.412i −0.0415989 + 0.0151408i
\(696\) −9634.84 + 9658.51i −0.524724 + 0.526013i
\(697\) 18096.2 15184.6i 0.983421 0.825188i
\(698\) −6248.15 2274.14i −0.338820 0.123320i
\(699\) −20694.4 + 9680.88i −1.11979 + 0.523840i
\(700\) −1577.64 + 8947.23i −0.0851844 + 0.483105i
\(701\) 16364.5 0.881710 0.440855 0.897578i \(-0.354675\pi\)
0.440855 + 0.897578i \(0.354675\pi\)
\(702\) −40.4563 + 153.239i −0.00217511 + 0.00823877i
\(703\) −17422.1 −0.934691
\(704\) 2536.32 14384.2i 0.135783 0.770064i
\(705\) 435.405 + 304.078i 0.0232600 + 0.0162443i
\(706\) 33.4311 + 12.1679i 0.00178215 + 0.000648649i
\(707\) 3417.15 2867.33i 0.181775 0.152527i
\(708\) −792.184 2942.03i −0.0420510 0.156170i
\(709\) −7531.07 + 2741.09i −0.398922 + 0.145196i −0.533687 0.845682i \(-0.679194\pi\)
0.134766 + 0.990877i \(0.456972\pi\)
\(710\) 119.559 207.082i 0.00631967 0.0109460i
\(711\) −1161.99 + 3217.08i −0.0612911 + 0.169690i
\(712\) 6964.94 + 12063.6i 0.366604 + 0.634977i
\(713\) −29934.1 25117.7i −1.57229 1.31931i
\(714\) −1389.46 1979.18i −0.0728278 0.103738i
\(715\) −6.36274 36.0849i −0.000332802 0.00188741i
\(716\) −4689.51 26595.5i −0.244770 1.38816i
\(717\) −5792.34 + 12461.6i −0.301700 + 0.649076i
\(718\) −496.061 416.244i −0.0257839 0.0216352i
\(719\) 3033.06 + 5253.42i 0.157322 + 0.272489i 0.933902 0.357529i \(-0.116381\pi\)
−0.776580 + 0.630018i \(0.783047\pi\)
\(720\) 741.528 + 128.876i 0.0383821 + 0.00667074i
\(721\) 1557.10 2696.98i 0.0804291 0.139307i
\(722\) −150.799 + 54.8864i −0.00777308 + 0.00282917i
\(723\) −6469.28 1724.93i −0.332773 0.0887289i
\(724\) 21948.3 18416.8i 1.12666 0.945380i
\(725\) −30639.9 11152.0i −1.56957 0.571277i
\(726\) −92.4304 + 1071.62i −0.00472509 + 0.0547820i
\(727\) 5392.55 30582.7i 0.275101 1.56018i −0.463539 0.886077i \(-0.653421\pi\)
0.738640 0.674100i \(-0.235468\pi\)
\(728\) −169.068 −0.00860725
\(729\) −17118.0 9715.77i −0.869682 0.493612i
\(730\) 44.2657 0.00224431
\(731\) 1699.12 9636.17i 0.0859700 0.487560i
\(732\) −907.873 + 10525.7i −0.0458414 + 0.531479i
\(733\) 30594.3 + 11135.4i 1.54165 + 0.561113i 0.966439 0.256896i \(-0.0826997\pi\)
0.575206 + 0.818009i \(0.304922\pi\)
\(734\) −5873.40 + 4928.37i −0.295356 + 0.247833i
\(735\) 647.521 + 172.652i 0.0324955 + 0.00866443i
\(736\) 13996.0 5094.15i 0.700953 0.255126i
\(737\) 1829.76 3169.24i 0.0914520 0.158400i
\(738\) −5385.66 936.018i −0.268630 0.0466874i
\(739\) 603.349 + 1045.03i 0.0300332 + 0.0520191i 0.880651 0.473765i \(-0.157105\pi\)
−0.850618 + 0.525784i \(0.823772\pi\)
\(740\) 617.460 + 518.110i 0.0306733 + 0.0257380i
\(741\) 323.677 696.356i 0.0160466 0.0345226i
\(742\) −567.027 3215.77i −0.0280542 0.159103i
\(743\) 2498.60 + 14170.3i 0.123371 + 0.699672i 0.982262 + 0.187513i \(0.0600428\pi\)
−0.858891 + 0.512158i \(0.828846\pi\)
\(744\) −9069.69 12919.1i −0.446924 0.636609i
\(745\) −343.229 288.004i −0.0168791 0.0141633i
\(746\) 147.017 + 254.641i 0.00721537 + 0.0124974i
\(747\) −7751.36 + 21460.4i −0.379662 + 1.05113i
\(748\) −11591.4 + 20076.9i −0.566609 + 0.981396i
\(749\) 19224.1 6997.01i 0.937830 0.341342i
\(750\) −111.824 415.295i −0.00544432 0.0202192i
\(751\) −23807.3 + 19976.7i −1.15678 + 0.970652i −0.999856 0.0169589i \(-0.994602\pi\)
−0.156922 + 0.987611i \(0.550157\pi\)
\(752\) −10122.8 3684.42i −0.490881 0.178666i
\(753\) 13354.7 + 9326.64i 0.646309 + 0.451370i
\(754\) 51.2786 290.815i 0.00247673 0.0140462i
\(755\) −1227.03 −0.0591471
\(756\) 2608.43 9880.10i 0.125486 0.475312i
\(757\) −18020.9 −0.865231 −0.432616 0.901578i \(-0.642409\pi\)
−0.432616 + 0.901578i \(0.642409\pi\)
\(758\) −586.956 + 3328.79i −0.0281256 + 0.159508i
\(759\) 24716.8 11562.6i 1.18203 0.552957i
\(760\) 409.214 + 148.942i 0.0195312 + 0.00710879i