Properties

Label 27.4.e.a.13.5
Level 27
Weight 4
Character 27.13
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 13.5
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.5

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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 0.998179 0.0603214i \(-0.0192126\pi\)
−0.958613 + 0.284714i \(0.908101\pi\)
\(3\) −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 0.624999 0.780625i \(-0.285099\pi\)
−0.660236 + 0.751058i \(0.729544\pi\)
\(6\) 3.23571 0.862753i 0.220162 0.0587029i
\(7\) 9.02395 + 3.28445i 0.487247 + 0.177344i 0.573949 0.818891i \(-0.305411\pi\)
−0.0867021 + 0.996234i \(0.527633\pi\)
\(8\) 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 −0.960554 0.278093i \(-0.910298\pi\)
0.107070 + 0.994252i \(0.465853\pi\)
\(12\) −16.6120 35.7389i −0.399623 0.859745i
\(13\) −0.304384 + 1.72625i −0.00649392 + 0.0368289i −0.987883 0.155203i \(-0.950397\pi\)
0.981389 + 0.192032i \(0.0615078\pi\)
\(14\) −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 0.462685 + 0.886523i \(0.346886\pi\)
−0.999094 + 0.0425646i \(0.986447\pi\)
\(18\) −5.91124 16.3658i −0.0774051 0.214303i
\(19\) 42.1545 + 73.0137i 0.508995 + 0.881605i 0.999946 + 0.0104179i \(0.00331617\pi\)
−0.490951 + 0.871187i \(0.663350\pi\)
\(20\) −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 0.273089 0.961989i \(-0.411954\pi\)
0.827553 + 0.561388i \(0.189732\pi\)
\(24\) 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 −0.684337 0.729166i \(-0.739908\pi\)
0.393677 0.919249i \(-0.371203\pi\)
\(30\) −1.55992 0.729733i −0.00949337 0.00444102i
\(31\) −284.215 + 103.446i −1.64666 + 0.599335i −0.988185 0.153267i \(-0.951020\pi\)
−0.658475 + 0.752603i \(0.728798\pi\)
\(32\) 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 −0.998913 0.0466154i \(-0.985156\pi\)
0.539827 + 0.841776i \(0.318490\pi\)
\(38\) −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 −0.685192 0.728362i \(-0.740282\pi\)
0.892985 0.450087i \(-0.148607\pi\)
\(42\) 32.0325 + 2.84209i 0.117684 + 0.0104415i
\(43\) 99.6799 83.6413i 0.353513 0.296632i −0.448686 0.893689i \(-0.648108\pi\)
0.802199 + 0.597057i \(0.203663\pi\)
\(44\) −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 0.0355541 0.999368i \(-0.488680\pi\)
−0.615145 + 0.788414i \(0.710903\pi\)
\(48\) −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 0.575106 0.818079i \(-0.304961\pi\)
−0.705784 + 0.708427i \(0.749405\pi\)
\(60\) −5.26974 + 19.5709i −0.0113387 + 0.0421098i
\(61\) 251.901 + 91.6844i 0.528731 + 0.192442i 0.592572 0.805518i \(-0.298113\pi\)
−0.0638405 + 0.997960i \(0.520335\pi\)
\(62\) −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 −0.967231 0.253898i \(-0.918287\pi\)
0.995738 + 0.0922265i \(0.0293984\pi\)
\(68\) −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 0.389391 + 0.921073i \(0.372686\pi\)
−0.992368 + 0.123314i \(0.960648\pi\)
\(72\) −173.803 208.165i −0.284484 0.340730i
\(73\) 66.7796 + 115.666i 0.107068 + 0.185447i 0.914581 0.404402i \(-0.132520\pi\)
−0.807513 + 0.589849i \(0.799187\pi\)
\(74\) −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 0.996457 0.0841006i \(-0.0268017\pi\)
−0.965128 + 0.261780i \(0.915691\pi\)
\(80\) −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 0.913740 + 0.406300i \(0.133181\pi\)
−0.719671 + 0.694315i \(0.755708\pi\)
\(84\) −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 −0.901221 0.433361i \(-0.857328\pi\)
0.0753091 0.997160i \(-0.476006\pi\)
\(90\) −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 −0.749109 0.662447i \(-0.769518\pi\)
0.522301 + 0.852761i \(0.325074\pi\)
\(98\) 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 0.547963 0.836502i \(-0.315403\pi\)
−0.117929 + 0.993022i \(0.537626\pi\)
\(102\) −65.4731 + 243.155i −0.0635568 + 0.236039i
\(103\) 248.422 + 208.451i 0.237648 + 0.199410i 0.753832 0.657068i \(-0.228203\pi\)
−0.516184 + 0.856478i \(0.672648\pi\)
\(104\) −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 0.282168 0.959365i \(-0.408946\pi\)
−0.895792 + 0.444473i \(0.853391\pi\)
\(114\) 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 0.687292 0.726381i \(-0.258799\pi\)
−0.972711 + 0.232022i \(0.925466\pi\)
\(128\) 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 −0.614750 0.788722i \(-0.710743\pi\)
0.0360555 + 0.999350i \(0.488521\pi\)
\(132\) 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 0.999919 0.0127613i \(-0.00406217\pi\)
−0.943981 + 0.330001i \(0.892951\pi\)
\(138\) 354.710 247.722i 0.218803 0.152808i
\(139\) 1482.07 539.428i 0.904369 0.329163i 0.152367 0.988324i \(-0.451311\pi\)
0.752002 + 0.659161i \(0.229088\pi\)
\(140\) −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 −0.914552 0.404468i \(-0.867457\pi\)
0.997734 0.0672805i \(-0.0214322\pi\)
\(150\) −176.067 378.789i −0.0958386 0.206187i
\(151\) 1827.75 1533.66i 0.985033 0.826541i 0.000191679 1.00000i \(-0.499939\pi\)
0.984841 + 0.173459i \(0.0554945\pi\)
\(152\) −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 0.369536 0.929216i \(-0.379517\pi\)
−0.850930 + 0.525279i \(0.823961\pi\)
\(158\) −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 0.914212 0.405236i \(-0.132811\pi\)
−0.240329 + 0.970692i \(0.577255\pi\)
\(168\) 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 −0.927982 0.372626i \(-0.878458\pi\)
0.205822 + 0.978589i \(0.434013\pi\)
\(174\) −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 0.207565 + 0.978221i \(0.433446\pi\)
−0.950947 + 0.309354i \(0.899887\pi\)
\(180\) 103.670 + 18.5422i 0.0429284 + 0.00767809i
\(181\) 1888.78 + 3271.46i 0.775645 + 1.34346i 0.934431 + 0.356143i \(0.115908\pi\)
−0.158787 + 0.987313i \(0.550758\pi\)
\(182\) −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 0.964670 0.263462i \(-0.0848644\pi\)
−0.996602 + 0.0823631i \(0.973753\pi\)
\(192\) −1691.27 791.178i −0.635712 0.297387i
\(193\) −3259.23 + 1186.26i −1.21557 + 0.442431i −0.868632 0.495458i \(-0.835000\pi\)
−0.346936 + 0.937889i \(0.612778\pi\)
\(194\) −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 0.986862 0.161566i \(-0.0516545\pi\)
−0.633351 + 0.773864i \(0.718321\pi\)
\(198\) 611.660 + 355.146i 0.219539 + 0.127470i
\(199\) −665.106 + 1152.00i −0.236925 + 0.410367i −0.959830 0.280581i \(-0.909473\pi\)
0.722905 + 0.690947i \(0.242806\pi\)
\(200\) 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 0.0833927 0.996517i \(-0.473424\pi\)
−0.966896 + 0.255169i \(0.917869\pi\)
\(212\) 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 0.450233 0.892911i \(-0.351341\pi\)
−0.229054 + 0.973414i \(0.573563\pi\)
\(224\) 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 −0.573090 0.819492i \(-0.694256\pi\)
0.707526 + 0.706687i \(0.249811\pi\)
\(228\) 1909.16 2719.46i 0.554550 0.789916i
\(229\) −357.830 + 2029.35i −0.103258 + 0.585605i 0.888644 + 0.458598i \(0.151648\pi\)
−0.991902 + 0.127007i \(0.959463\pi\)
\(230\) 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 −0.371696 0.928354i \(-0.621224\pi\)
0.989827 0.142279i \(-0.0454429\pi\)
\(234\) 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 0.0169337 0.999857i \(-0.494610\pi\)
0.655667 + 0.755050i \(0.272387\pi\)
\(240\) 12.4472 + 144.311i 0.00334776 + 0.0388134i
\(241\) −223.747 1268.93i −0.0598043 0.339167i 0.940195 0.340638i \(-0.110643\pi\)
−0.999999 + 0.00147066i \(0.999532\pi\)
\(242\) 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 0.992994 0.118168i \(-0.0377020\pi\)
−0.598833 + 0.800874i \(0.704369\pi\)
\(252\) −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 −0.704416 0.709787i \(-0.748791\pi\)
0.904696 0.426057i \(-0.140098\pi\)
\(258\) 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 −0.00564853 0.999984i \(-0.501798\pi\)
−0.647104 + 0.762401i \(0.724020\pi\)
\(264\) −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 0.0550364 0.998484i \(-0.482473\pi\)
−0.599653 + 0.800260i \(0.704695\pi\)
\(278\) 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 −0.288582 0.957455i \(-0.593184\pi\)
0.892798 + 0.450458i \(0.148739\pi\)
\(282\) −662.924 58.8179i −0.139988 0.0124204i
\(283\) −304.681 + 1727.93i −0.0639979 + 0.362950i 0.935944 + 0.352150i \(0.114549\pi\)
−0.999942 + 0.0108007i \(0.996562\pi\)
\(284\) −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 −0.925375 0.379053i \(-0.876250\pi\)
−0.465227 + 0.885191i \(0.654027\pi\)
\(294\) −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 0.103547 0.994625i \(-0.466981\pi\)
0.809597 0.586987i \(-0.199686\pi\)
\(308\) −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 0.928758 + 0.370688i \(0.120878\pi\)
−0.999529 + 0.0306789i \(0.990233\pi\)
\(312\) 38.5600 + 82.9577i 0.00699689 + 0.0150531i
\(313\) −221.336 + 185.723i −0.0399702 + 0.0335390i −0.662554 0.749014i \(-0.730527\pi\)
0.622584 + 0.782553i \(0.286083\pi\)
\(314\) 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 0.879889 0.475180i \(-0.157617\pi\)
0.368594 + 0.929591i \(0.379839\pi\)
\(318\) 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 0.291579 0.956547i \(-0.405819\pi\)
−0.391494 + 0.920181i \(0.628042\pi\)
\(332\) 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 −0.493259 0.869882i \(-0.664195\pi\)
0.761029 0.648717i \(-0.224694\pi\)
\(338\) −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 −0.596898 0.802317i \(-0.703600\pi\)
0.0584689 + 0.998289i \(0.481378\pi\)
\(348\) −8446.31 + 5898.74i −1.30106 + 0.908637i
\(349\) 1791.57 + 10160.5i 0.274787 + 1.55839i 0.739637 + 0.673006i \(0.234997\pi\)
−0.464850 + 0.885389i \(0.653892\pi\)
\(350\) 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 0.984077 0.177745i \(-0.0568803\pi\)
−0.985522 + 0.169548i \(0.945769\pi\)
\(354\) −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 0.900590 0.434670i \(-0.143135\pi\)
−0.826730 + 0.562599i \(0.809802\pi\)
\(360\) −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 −0.305470 + 0.952202i \(0.598814\pi\)
−0.990780 + 0.135481i \(0.956742\pi\)
\(368\) 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 0.618207 0.786015i \(-0.287859\pi\)
−0.666723 + 0.745305i \(0.732304\pi\)
\(374\) 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 0.754622 0.656160i \(-0.227820\pi\)
−0.515153 + 0.857098i \(0.672265\pi\)
\(384\) 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 −0.691316 0.722553i \(-0.742969\pi\)
0.591530 + 0.806283i \(0.298524\pi\)
\(390\) 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 −0.979351 0.202167i \(-0.935201\pi\)
0.314593 0.949227i \(-0.398132\pi\)
\(398\) −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 −0.799821 0.600238i \(-0.795072\pi\)
−0.226873 + 0.973924i \(0.572850\pi\)
\(402\) −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 0.0907243 0.995876i \(-0.471082\pi\)
0.709636 + 0.704569i \(0.248860\pi\)
\(410\) −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 −0.977616 0.210399i \(-0.932524\pi\)
0.990619 + 0.136654i \(0.0436348\pi\)
\(420\) −111.833 + 159.298i −0.0129926 + 0.0185071i
\(421\) 4569.59 3834.34i 0.528998 0.443882i −0.338757 0.940874i \(-0.610006\pi\)
0.867755 + 0.496992i \(0.165562\pi\)
\(422\) 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 −0.361865 0.932230i \(-0.617860\pi\)
−0.876431 + 0.481527i \(0.840082\pi\)
\(440\) 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 −0.471098 0.882081i \(-0.656142\pi\)
0.786875 + 0.617113i \(0.211698\pi\)
\(444\) 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 −0.969234 0.246141i \(-0.920837\pi\)
0.697781 + 0.716311i \(0.254171\pi\)
\(450\) −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 −0.928386 0.371617i \(-0.878803\pi\)
0.745297 0.666733i \(-0.232308\pi\)
\(458\) −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 0.997155 + 0.0753799i \(0.0240169\pi\)
−0.911238 + 0.411881i \(0.864872\pi\)
\(462\) −1071.67 + 748.435i −0.107919 + 0.0753687i
\(463\) −5384.34 + 1959.74i −0.540457 + 0.196710i −0.597802 0.801644i \(-0.703959\pi\)
0.0573444 + 0.998354i \(0.481737\pi\)
\(464\) −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 1.00000 0.000578251i \(0.000184063\pi\)
−0.499499 + 0.866314i \(0.666483\pi\)
\(468\) −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 −0.665528 0.746373i \(-0.731793\pi\)
−0.989583 + 0.143962i \(0.954016\pi\)
\(480\) −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 0.990913 + 0.134504i \(0.0429441\pi\)
0.304531 + 0.952502i \(0.401500\pi\)
\(492\) −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 −0.994519 0.104559i \(-0.966657\pi\)
0.970303 + 0.241892i \(0.0777680\pi\)
\(500\) −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 −0.0709470 + 0.997480i \(0.522602\pi\)
−0.828370 + 0.560182i \(0.810731\pi\)
\(504\) −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 −0.408459 0.912776i \(-0.633934\pi\)
0.273823 + 0.961780i \(0.411712\pi\)
\(510\) 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 0.702226 0.711954i \(-0.252190\pi\)
−0.967683 + 0.252168i \(0.918856\pi\)
\(522\) −3944.77 + 2264.63i −0.330762 + 0.189885i
\(523\) 7633.72 13222.0i 0.638240 1.10546i −0.347579 0.937651i \(-0.612996\pi\)
0.985819 0.167813i \(-0.0536704\pi\)
\(524\) −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 −0.331636 0.943407i \(-0.607601\pi\)
−0.860459 + 0.509520i \(0.829823\pi\)
\(548\) 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 −0.982507 0.186227i \(-0.940374\pi\)
0.652531 + 0.757762i \(0.273707\pi\)
\(558\) 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 0.0562422 0.998417i \(-0.482088\pi\)
0.684854 + 0.728680i \(0.259866\pi\)
\(564\) 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 0.999416 0.0341786i \(-0.0108815\pi\)
−0.950833 + 0.309703i \(0.899770\pi\)
\(570\) −12.4771 144.657i −0.000916853 0.0106299i
\(571\) 242.799 88.3714i 0.0177948 0.00647676i −0.333107 0.942889i \(-0.608097\pi\)
0.350902 + 0.936412i \(0.385875\pi\)
\(572\) −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 −0.992687 0.120721i \(-0.961479\pi\)
0.600890 + 0.799331i \(0.294813\pi\)
\(578\) 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 −0.435963 0.899965i \(-0.643592\pi\)
−0.912453 + 0.409182i \(0.865814\pi\)
\(588\) −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 0.410154 0.912016i \(-0.365475\pi\)
−0.826938 + 0.562293i \(0.809919\pi\)
\(600\) −4597.51 4608.80i −0.312821 0.313589i
\(601\) 5695.33 + 2072.93i 0.386551 + 0.140693i 0.527983 0.849255i \(-0.322948\pi\)
−0.141432 + 0.989948i \(0.545171\pi\)
\(602\) 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 0.700121 + 0.714025i \(0.253130\pi\)
−0.902109 + 0.431508i \(0.857982\pi\)
\(608\) −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 0.987639 0.156747i \(-0.0501007\pi\)
−0.629566 + 0.776947i \(0.716767\pi\)
\(614\) 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 −0.575419 0.817859i \(-0.695161\pi\)
0.0849133 + 0.996388i \(0.472939\pi\)
\(618\) 983.662 + 460.159i 0.0640270 + 0.0299520i
\(619\) −2625.45 14889.6i −0.170478 0.966826i −0.943235 0.332125i \(-0.892234\pi\)
0.772758 0.634701i \(-0.218877\pi\)
\(620\) 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 −0.981041 0.193803i \(-0.937918\pi\)
0.658358 + 0.752705i \(0.271251\pi\)
\(632\) −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 0.999144 0.0413721i \(-0.0131729\pi\)
0.738795 + 0.673930i \(0.235395\pi\)
\(642\) 6893.19 1837.96i 0.423758 0.112989i
\(643\) 21277.9 + 17854.3i 1.30501 + 1.09503i 0.989257 + 0.146189i \(0.0467007\pi\)
0.315751 + 0.948842i \(0.397744\pi\)
\(644\) 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 0.510223 0.860042i \(-0.329563\pi\)
−0.758377 + 0.651816i \(0.774007\pi\)
\(654\) −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 −0.648420 0.761282i \(-0.724570\pi\)
0.637120 + 0.770765i \(0.280126\pi\)
\(660\) −347.252 747.075i −0.0204799 0.0440604i
\(661\) 5019.50 28467.0i 0.295364 1.67509i −0.370354 0.928891i \(-0.620764\pi\)
0.665718 0.746203i \(-0.268125\pi\)
\(662\) 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 0.771013 + 0.636819i \(0.219750\pi\)
−0.506710 + 0.862116i \(0.669139\pi\)
\(674\) 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 0.996003 + 0.0893144i \(0.0284676\pi\)
−0.905390 + 0.424581i \(0.860421\pi\)
\(678\) −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 −0.999359 0.0358099i \(-0.988599\pi\)
0.468667 0.883375i \(-0.344734\pi\)
\(684\) −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 −0.606213 0.795302i \(-0.707312\pi\)
0.677952 + 0.735106i \(0.262868\pi\)
\(692\) −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 0.134766 0.990877i \(-0.456972\pi\)
−0.533687 + 0.845682i \(0.679194\pi\)
\(710\) 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 −0.776580 0.630018i \(-0.783047\pi\)
0.933902 + 0.357529i \(0.116381\pi\)
\(720\) 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 0.738640 + 0.674100i \(0.235468\pi\)
−0.463539 + 0.886077i \(0.653421\pi\)
\(728\) −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 0.575206 0.818009i \(-0.304922\pi\)
0.966439 + 0.256896i \(0.0826997\pi\)
\(734\) −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 −0.850618 0.525784i \(-0.823772\pi\)
0.880651 + 0.473765i \(0.157105\pi\)
\(740\) 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 −0.858891 0.512158i \(-0.828846\pi\)
0.982262 0.187513i \(-0.0600428\pi\)
\(744\) −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 −0.156922 0.987611i \(-0.550157\pi\)
−0.999856 + 0.0169589i \(0.994602\pi\)
\(752\) −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