Properties

Label 225.4.u.a.4.5
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07574 - 5.06097i) q^{2} +(0.736845 - 5.14364i) q^{3} +(-17.1478 + 7.63470i) q^{4} +(-5.20342 - 9.89568i) q^{5} +(-26.8245 + 1.80408i) q^{6} +(-29.1252 + 16.8154i) q^{7} +(32.7558 + 45.0845i) q^{8} +(-25.9141 - 7.58014i) q^{9} +O(q^{10})\) \(q+(-1.07574 - 5.06097i) q^{2} +(0.736845 - 5.14364i) q^{3} +(-17.1478 + 7.63470i) q^{4} +(-5.20342 - 9.89568i) q^{5} +(-26.8245 + 1.80408i) q^{6} +(-29.1252 + 16.8154i) q^{7} +(32.7558 + 45.0845i) q^{8} +(-25.9141 - 7.58014i) q^{9} +(-44.4842 + 36.9795i) q^{10} +(44.3419 - 9.42516i) q^{11} +(26.6349 + 93.8278i) q^{12} +(13.2249 - 62.2183i) q^{13} +(116.434 + 129.313i) q^{14} +(-54.7339 + 19.4730i) q^{15} +(92.4546 - 102.681i) q^{16} +(-48.0610 - 66.1503i) q^{17} +(-10.4859 + 139.305i) q^{18} +(42.4448 - 30.8379i) q^{19} +(164.778 + 129.963i) q^{20} +(65.0318 + 162.200i) q^{21} +(-95.4009 - 214.274i) q^{22} +(28.7962 - 25.9282i) q^{23} +(256.035 - 135.264i) q^{24} +(-70.8488 + 102.983i) q^{25} -329.112 q^{26} +(-58.0842 + 127.708i) q^{27} +(371.053 - 510.710i) q^{28} +(-6.27981 + 59.7484i) q^{29} +(157.432 + 256.059i) q^{30} +(24.1652 + 229.917i) q^{31} +(-233.032 - 134.541i) q^{32} +(-15.8066 - 235.024i) q^{33} +(-283.083 + 314.396i) q^{34} +(317.951 + 200.716i) q^{35} +(502.243 - 67.8638i) q^{36} +(-160.969 + 52.3021i) q^{37} +(-201.729 - 181.638i) q^{38} +(-310.284 - 113.870i) q^{39} +(275.700 - 558.735i) q^{40} +(-49.5936 - 10.5414i) q^{41} +(750.931 - 503.609i) q^{42} +(80.6135 - 46.5422i) q^{43} +(-688.408 + 500.158i) q^{44} +(59.8315 + 295.880i) q^{45} +(-162.199 - 117.845i) q^{46} +(-212.599 - 22.3450i) q^{47} +(-460.031 - 551.214i) q^{48} +(394.018 - 682.458i) q^{49} +(597.407 + 247.781i) q^{50} +(-375.667 + 198.466i) q^{51} +(248.240 + 1167.88i) q^{52} +(64.9769 - 89.4331i) q^{53} +(708.808 + 156.582i) q^{54} +(-323.998 - 389.750i) q^{55} +(-1712.14 - 762.292i) q^{56} +(-127.344 - 241.043i) q^{57} +(309.140 - 32.4920i) q^{58} +(330.860 + 70.3264i) q^{59} +(789.897 - 751.796i) q^{60} +(-471.479 + 100.216i) q^{61} +(1137.61 - 369.630i) q^{62} +(882.217 - 214.984i) q^{63} +(-88.6480 + 272.830i) q^{64} +(-684.507 + 192.879i) q^{65} +(-1172.44 + 332.821i) q^{66} +(489.128 - 51.4095i) q^{67} +(1329.18 + 767.402i) q^{68} +(-112.147 - 167.222i) q^{69} +(673.782 - 1825.06i) q^{70} +(-112.334 - 81.6155i) q^{71} +(-507.092 - 1416.62i) q^{72} +(-201.377 - 65.4313i) q^{73} +(437.861 + 758.397i) q^{74} +(477.502 + 440.303i) q^{75} +(-492.397 + 852.856i) q^{76} +(-1132.98 + 1020.14i) q^{77} +(-242.504 + 1692.83i) q^{78} +(-113.086 + 1075.94i) q^{79} +(-1497.18 - 380.607i) q^{80} +(614.083 + 392.865i) q^{81} +262.331i q^{82} +(-228.758 + 513.799i) q^{83} +(-2353.50 - 2284.88i) q^{84} +(-404.520 + 819.804i) q^{85} +(-322.268 - 357.915i) q^{86} +(302.697 + 76.3264i) q^{87} +(1877.38 + 1690.40i) q^{88} +(-319.198 + 982.391i) q^{89} +(1433.08 - 621.096i) q^{90} +(661.050 + 2034.50i) q^{91} +(-295.838 + 664.462i) q^{92} +(1200.41 + 45.1157i) q^{93} +(115.614 + 1099.99i) q^{94} +(-526.020 - 259.557i) q^{95} +(-863.740 + 1099.50i) q^{96} +(669.062 + 70.3213i) q^{97} +(-3877.76 - 1259.96i) q^{98} +(-1220.53 - 91.8728i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07574 5.06097i −0.380332 1.78932i −0.585582 0.810613i \(-0.699134\pi\)
0.205250 0.978710i \(-0.434199\pi\)
\(3\) 0.736845 5.14364i 0.141806 0.989894i
\(4\) −17.1478 + 7.63470i −2.14348 + 0.954337i
\(5\) −5.20342 9.89568i −0.465408 0.885096i
\(6\) −26.8245 + 1.80408i −1.82517 + 0.122752i
\(7\) −29.1252 + 16.8154i −1.57261 + 0.907948i −0.576765 + 0.816910i \(0.695685\pi\)
−0.995847 + 0.0910377i \(0.970982\pi\)
\(8\) 32.7558 + 45.0845i 1.44762 + 1.99247i
\(9\) −25.9141 7.58014i −0.959782 0.280746i
\(10\) −44.4842 + 36.9795i −1.40671 + 1.16940i
\(11\) 44.3419 9.42516i 1.21542 0.258345i 0.444792 0.895634i \(-0.353278\pi\)
0.770625 + 0.637289i \(0.219944\pi\)
\(12\) 26.6349 + 93.8278i 0.640736 + 2.25715i
\(13\) 13.2249 62.2183i 0.282149 1.32740i −0.577446 0.816429i \(-0.695951\pi\)
0.859595 0.510976i \(-0.170716\pi\)
\(14\) 116.434 + 129.313i 2.22273 + 2.46859i
\(15\) −54.7339 + 19.4730i −0.942149 + 0.335193i
\(16\) 92.4546 102.681i 1.44460 1.60439i
\(17\) −48.0610 66.1503i −0.685677 0.943753i 0.314308 0.949321i \(-0.398228\pi\)
−0.999984 + 0.00556808i \(0.998228\pi\)
\(18\) −10.4859 + 139.305i −0.137309 + 1.82414i
\(19\) 42.4448 30.8379i 0.512500 0.372353i −0.301271 0.953538i \(-0.597411\pi\)
0.813771 + 0.581186i \(0.197411\pi\)
\(20\) 164.778 + 129.963i 1.84227 + 1.45303i
\(21\) 65.0318 + 162.200i 0.675767 + 1.68547i
\(22\) −95.4009 214.274i −0.924524 2.07652i
\(23\) 28.7962 25.9282i 0.261062 0.235061i −0.528197 0.849122i \(-0.677132\pi\)
0.789259 + 0.614061i \(0.210465\pi\)
\(24\) 256.035 135.264i 2.17762 1.15044i
\(25\) −70.8488 + 102.983i −0.566791 + 0.823862i
\(26\) −329.112 −2.48247
\(27\) −58.0842 + 127.708i −0.414011 + 0.910272i
\(28\) 371.053 510.710i 2.50437 3.44697i
\(29\) −6.27981 + 59.7484i −0.0402114 + 0.382586i 0.955845 + 0.293870i \(0.0949432\pi\)
−0.996057 + 0.0887166i \(0.971723\pi\)
\(30\) 157.432 + 256.059i 0.958098 + 1.55832i
\(31\) 24.1652 + 229.917i 0.140006 + 1.33207i 0.808562 + 0.588410i \(0.200246\pi\)
−0.668556 + 0.743662i \(0.733087\pi\)
\(32\) −233.032 134.541i −1.28733 0.743242i
\(33\) −15.8066 235.024i −0.0833808 1.23977i
\(34\) −283.083 + 314.396i −1.42789 + 1.58584i
\(35\) 317.951 + 200.716i 1.53553 + 0.969347i
\(36\) 502.243 67.8638i 2.32520 0.314184i
\(37\) −160.969 + 52.3021i −0.715222 + 0.232390i −0.643950 0.765067i \(-0.722706\pi\)
−0.0712714 + 0.997457i \(0.522706\pi\)
\(38\) −201.729 181.638i −0.861179 0.775409i
\(39\) −310.284 113.870i −1.27398 0.467531i
\(40\) 275.700 558.735i 1.08980 2.20859i
\(41\) −49.5936 10.5414i −0.188908 0.0401536i 0.112486 0.993653i \(-0.464119\pi\)
−0.301394 + 0.953500i \(0.597452\pi\)
\(42\) 750.931 503.609i 2.75884 1.85020i
\(43\) 80.6135 46.5422i 0.285894 0.165061i −0.350195 0.936677i \(-0.613885\pi\)
0.636089 + 0.771616i \(0.280551\pi\)
\(44\) −688.408 + 500.158i −2.35867 + 1.71367i
\(45\) 59.8315 + 295.880i 0.198203 + 0.980161i
\(46\) −162.199 117.845i −0.519890 0.377722i
\(47\) −212.599 22.3450i −0.659802 0.0693480i −0.231291 0.972885i \(-0.574295\pi\)
−0.428511 + 0.903537i \(0.640962\pi\)
\(48\) −460.031 551.214i −1.38333 1.65752i
\(49\) 394.018 682.458i 1.14874 1.98967i
\(50\) 597.407 + 247.781i 1.68972 + 0.700830i
\(51\) −375.667 + 198.466i −1.03145 + 0.544918i
\(52\) 248.240 + 1167.88i 0.662013 + 3.11453i
\(53\) 64.9769 89.4331i 0.168401 0.231784i −0.716473 0.697615i \(-0.754244\pi\)
0.884874 + 0.465831i \(0.154244\pi\)
\(54\) 708.808 + 156.582i 1.78623 + 0.394594i
\(55\) −323.998 389.750i −0.794325 0.955525i
\(56\) −1712.14 762.292i −4.08560 1.81903i
\(57\) −127.344 241.043i −0.295915 0.560122i
\(58\) 309.140 32.4920i 0.699864 0.0735587i
\(59\) 330.860 + 70.3264i 0.730072 + 0.155182i 0.557927 0.829890i \(-0.311597\pi\)
0.172145 + 0.985072i \(0.444930\pi\)
\(60\) 789.897 751.796i 1.69959 1.61761i
\(61\) −471.479 + 100.216i −0.989617 + 0.210350i −0.674156 0.738589i \(-0.735492\pi\)
−0.315461 + 0.948939i \(0.602159\pi\)
\(62\) 1137.61 369.630i 2.33026 0.757147i
\(63\) 882.217 214.984i 1.76427 0.429928i
\(64\) −88.6480 + 272.830i −0.173141 + 0.532872i
\(65\) −684.507 + 192.879i −1.30620 + 0.368056i
\(66\) −1172.44 + 332.821i −2.18663 + 0.620719i
\(67\) 489.128 51.4095i 0.891889 0.0937413i 0.352513 0.935807i \(-0.385327\pi\)
0.539375 + 0.842065i \(0.318660\pi\)
\(68\) 1329.18 + 767.402i 2.37039 + 1.36855i
\(69\) −112.147 167.222i −0.195665 0.291757i
\(70\) 673.782 1825.06i 1.15046 3.11623i
\(71\) −112.334 81.6155i −0.187769 0.136422i 0.489929 0.871762i \(-0.337023\pi\)
−0.677699 + 0.735340i \(0.737023\pi\)
\(72\) −507.092 1416.62i −0.830019 2.31875i
\(73\) −201.377 65.4313i −0.322868 0.104906i 0.143099 0.989708i \(-0.454293\pi\)
−0.465967 + 0.884802i \(0.654293\pi\)
\(74\) 437.861 + 758.397i 0.687842 + 1.19138i
\(75\) 477.502 + 440.303i 0.735162 + 0.677891i
\(76\) −492.397 + 852.856i −0.743181 + 1.28723i
\(77\) −1132.98 + 1020.14i −1.67682 + 1.50981i
\(78\) −242.504 + 1692.83i −0.352028 + 2.45738i
\(79\) −113.086 + 1075.94i −0.161052 + 1.53231i 0.553573 + 0.832801i \(0.313264\pi\)
−0.714625 + 0.699508i \(0.753403\pi\)
\(80\) −1497.18 380.607i −2.09237 0.531915i
\(81\) 614.083 + 392.865i 0.842364 + 0.538910i
\(82\) 262.331i 0.353289i
\(83\) −228.758 + 513.799i −0.302523 + 0.679479i −0.999284 0.0378247i \(-0.987957\pi\)
0.696761 + 0.717303i \(0.254624\pi\)
\(84\) −2353.50 2284.88i −3.05700 2.96786i
\(85\) −404.520 + 819.804i −0.516193 + 1.04612i
\(86\) −322.268 357.915i −0.404082 0.448778i
\(87\) 302.697 + 76.3264i 0.373018 + 0.0940581i
\(88\) 1877.38 + 1690.40i 2.27420 + 2.04770i
\(89\) −319.198 + 982.391i −0.380168 + 1.17004i 0.559757 + 0.828656i \(0.310894\pi\)
−0.939925 + 0.341380i \(0.889106\pi\)
\(90\) 1433.08 621.096i 1.67844 0.727437i
\(91\) 661.050 + 2034.50i 0.761504 + 2.34367i
\(92\) −295.838 + 664.462i −0.335252 + 0.752989i
\(93\) 1200.41 + 45.1157i 1.33846 + 0.0503041i
\(94\) 115.614 + 1099.99i 0.126858 + 1.20697i
\(95\) −526.020 259.557i −0.568090 0.280316i
\(96\) −863.740 + 1099.50i −0.918283 + 1.16893i
\(97\) 669.062 + 70.3213i 0.700340 + 0.0736087i 0.448005 0.894031i \(-0.352135\pi\)
0.252335 + 0.967640i \(0.418801\pi\)
\(98\) −3877.76 1259.96i −3.99707 1.29873i
\(99\) −1220.53 91.8728i −1.23906 0.0932683i
\(100\) 428.660 2306.84i 0.428660 2.30684i
\(101\) −698.426 1209.71i −0.688079 1.19179i −0.972458 0.233076i \(-0.925121\pi\)
0.284379 0.958712i \(-0.408213\pi\)
\(102\) 1408.55 + 1687.74i 1.36733 + 1.63835i
\(103\) −690.681 1551.30i −0.660727 1.48402i −0.863270 0.504743i \(-0.831587\pi\)
0.202543 0.979273i \(-0.435079\pi\)
\(104\) 3238.28 1441.77i 3.05326 1.35940i
\(105\) 1266.69 1487.53i 1.17730 1.38255i
\(106\) −522.516 232.639i −0.478786 0.213169i
\(107\) 168.697i 0.152416i 0.997092 + 0.0762082i \(0.0242814\pi\)
−0.997092 + 0.0762082i \(0.975719\pi\)
\(108\) 21.0081 2633.36i 0.0187176 2.34625i
\(109\) −124.133 382.041i −0.109080 0.335714i 0.881586 0.472023i \(-0.156476\pi\)
−0.990666 + 0.136309i \(0.956476\pi\)
\(110\) −1623.97 + 2059.01i −1.40763 + 1.78472i
\(111\) 150.414 + 866.507i 0.128619 + 0.740948i
\(112\) −966.128 + 4545.28i −0.815094 + 3.83472i
\(113\) 19.0902 89.8123i 0.0158925 0.0747684i −0.969487 0.245144i \(-0.921165\pi\)
0.985379 + 0.170376i \(0.0544981\pi\)
\(114\) −1082.92 + 903.785i −0.889694 + 0.742519i
\(115\) −406.416 150.042i −0.329552 0.121665i
\(116\) −348.476 1072.50i −0.278924 0.858440i
\(117\) −814.335 + 1512.09i −0.643464 + 1.19481i
\(118\) 1750.12i 1.36536i
\(119\) 2512.13 + 1118.47i 1.93518 + 0.861599i
\(120\) −2670.79 1829.80i −2.03174 1.39198i
\(121\) 661.441 294.492i 0.496950 0.221256i
\(122\) 1014.38 + 2278.33i 0.752767 + 1.69074i
\(123\) −90.7642 + 247.324i −0.0665360 + 0.181305i
\(124\) −2169.72 3758.07i −1.57135 2.72165i
\(125\) 1387.74 + 165.234i 0.992986 + 0.118232i
\(126\) −2037.07 4233.60i −1.44029 2.99333i
\(127\) −2456.95 798.311i −1.71668 0.557785i −0.725261 0.688474i \(-0.758281\pi\)
−0.991423 + 0.130689i \(0.958281\pi\)
\(128\) −664.718 69.8647i −0.459010 0.0482439i
\(129\) −179.997 448.941i −0.122851 0.306411i
\(130\) 1712.51 + 3256.78i 1.15536 + 2.19722i
\(131\) −28.6614 272.695i −0.0191157 0.181874i 0.980798 0.195028i \(-0.0624796\pi\)
−0.999913 + 0.0131536i \(0.995813\pi\)
\(132\) 2065.38 + 3909.47i 1.36188 + 2.57784i
\(133\) −717.658 + 1611.89i −0.467886 + 1.05089i
\(134\) −786.358 2420.16i −0.506947 1.56022i
\(135\) 1565.99 89.7339i 0.998362 0.0572079i
\(136\) 1408.08 4333.62i 0.887806 2.73239i
\(137\) 171.799 + 154.688i 0.107137 + 0.0964666i 0.720958 0.692978i \(-0.243702\pi\)
−0.613821 + 0.789445i \(0.710369\pi\)
\(138\) −725.666 + 747.461i −0.447629 + 0.461073i
\(139\) −33.5764 37.2904i −0.0204886 0.0227549i 0.732813 0.680430i \(-0.238207\pi\)
−0.753302 + 0.657675i \(0.771540\pi\)
\(140\) −6984.56 1014.38i −4.21645 0.612361i
\(141\) −271.587 + 1077.07i −0.162211 + 0.643300i
\(142\) −292.211 + 656.317i −0.172689 + 0.387865i
\(143\) 2883.53i 1.68624i
\(144\) −3174.22 + 1960.08i −1.83693 + 1.13430i
\(145\) 623.928 248.753i 0.357340 0.142468i
\(146\) −114.516 + 1089.55i −0.0649139 + 0.617614i
\(147\) −3219.99 2529.55i −1.80667 1.41928i
\(148\) 2360.96 2125.82i 1.31128 1.18068i
\(149\) −1719.38 + 2978.06i −0.945352 + 1.63740i −0.190308 + 0.981724i \(0.560949\pi\)
−0.755044 + 0.655674i \(0.772385\pi\)
\(150\) 1714.69 2890.27i 0.933360 1.57327i
\(151\) −271.468 470.196i −0.146303 0.253404i 0.783555 0.621322i \(-0.213404\pi\)
−0.929858 + 0.367918i \(0.880071\pi\)
\(152\) 2780.63 + 903.480i 1.48381 + 0.482118i
\(153\) 744.030 + 2078.54i 0.393146 + 1.09830i
\(154\) 6381.68 + 4636.56i 3.33929 + 2.42613i
\(155\) 2149.44 1435.48i 1.11385 0.743876i
\(156\) 6190.06 416.313i 3.17693 0.213665i
\(157\) −923.390 533.120i −0.469392 0.271004i 0.246593 0.969119i \(-0.420689\pi\)
−0.715985 + 0.698115i \(0.754022\pi\)
\(158\) 5566.93 585.108i 2.80305 0.294612i
\(159\) −412.134 400.116i −0.205562 0.199568i
\(160\) −118.812 + 3006.09i −0.0587055 + 1.48532i
\(161\) −402.700 + 1239.38i −0.197126 + 0.606690i
\(162\) 1327.68 3530.48i 0.643905 1.71222i
\(163\) −3606.12 + 1171.70i −1.73284 + 0.563034i −0.993855 0.110686i \(-0.964695\pi\)
−0.738986 + 0.673721i \(0.764695\pi\)
\(164\) 930.902 197.869i 0.443239 0.0942134i
\(165\) −2243.47 + 1379.34i −1.05851 + 0.650799i
\(166\) 2846.40 + 605.022i 1.33087 + 0.282884i
\(167\) 2515.34 264.373i 1.16553 0.122502i 0.498061 0.867142i \(-0.334045\pi\)
0.667466 + 0.744640i \(0.267379\pi\)
\(168\) −5182.54 + 8244.92i −2.38001 + 3.78637i
\(169\) −1689.16 752.064i −0.768850 0.342314i
\(170\) 4584.16 + 1165.37i 2.06817 + 0.525762i
\(171\) −1333.67 + 477.401i −0.596425 + 0.213495i
\(172\) −1027.01 + 1413.56i −0.455283 + 0.626644i
\(173\) 64.9232 + 305.440i 0.0285319 + 0.134232i 0.990108 0.140306i \(-0.0448085\pi\)
−0.961576 + 0.274538i \(0.911475\pi\)
\(174\) 60.6615 1614.05i 0.0264295 0.703223i
\(175\) 331.786 4190.74i 0.143318 1.81023i
\(176\) 3131.83 5424.48i 1.34131 2.32321i
\(177\) 605.526 1650.00i 0.257142 0.700689i
\(178\) 5315.23 + 558.653i 2.23816 + 0.235240i
\(179\) −1337.45 971.717i −0.558469 0.405752i 0.272429 0.962176i \(-0.412173\pi\)
−0.830898 + 0.556424i \(0.812173\pi\)
\(180\) −3284.94 4616.91i −1.36025 1.91180i
\(181\) 1177.28 855.341i 0.483460 0.351254i −0.319204 0.947686i \(-0.603415\pi\)
0.802664 + 0.596432i \(0.203415\pi\)
\(182\) 9585.44 5534.15i 3.90396 2.25395i
\(183\) 168.068 + 2498.96i 0.0678904 + 1.00945i
\(184\) 2112.20 + 448.963i 0.846270 + 0.179880i
\(185\) 1355.16 + 1320.75i 0.538557 + 0.524884i
\(186\) −1063.01 6123.79i −0.419051 2.41408i
\(187\) −2754.59 2480.25i −1.07720 0.969912i
\(188\) 3816.20 1239.96i 1.48045 0.481028i
\(189\) −455.745 4696.22i −0.175400 1.80741i
\(190\) −747.747 + 2941.39i −0.285512 + 1.12311i
\(191\) 566.579 629.249i 0.214640 0.238382i −0.626204 0.779659i \(-0.715392\pi\)
0.840844 + 0.541277i \(0.182059\pi\)
\(192\) 1338.02 + 657.007i 0.502935 + 0.246955i
\(193\) 2162.95 + 1248.78i 0.806697 + 0.465746i 0.845807 0.533488i \(-0.179119\pi\)
−0.0391109 + 0.999235i \(0.512453\pi\)
\(194\) −363.845 3461.75i −0.134652 1.28113i
\(195\) 487.723 + 3662.98i 0.179111 + 1.34519i
\(196\) −1546.18 + 14710.9i −0.563475 + 5.36111i
\(197\) −807.534 + 1111.48i −0.292053 + 0.401976i −0.929680 0.368369i \(-0.879916\pi\)
0.637627 + 0.770346i \(0.279916\pi\)
\(198\) 848.005 + 6275.87i 0.304369 + 2.25256i
\(199\) −3280.02 −1.16842 −0.584208 0.811604i \(-0.698595\pi\)
−0.584208 + 0.811604i \(0.698595\pi\)
\(200\) −6963.64 + 179.099i −2.46202 + 0.0633211i
\(201\) 95.9799 2553.78i 0.0336811 0.896169i
\(202\) −5370.98 + 4836.05i −1.87079 + 1.68447i
\(203\) −821.795 1845.78i −0.284131 0.638170i
\(204\) 4926.64 6271.36i 1.69085 2.15237i
\(205\) 153.742 + 545.614i 0.0523794 + 0.185889i
\(206\) −7108.06 + 5164.31i −2.40409 + 1.74667i
\(207\) −942.767 + 453.627i −0.316555 + 0.152315i
\(208\) −5165.95 7110.32i −1.72209 2.37025i
\(209\) 1591.43 1767.46i 0.526705 0.584965i
\(210\) −8890.97 4810.48i −2.92159 1.58074i
\(211\) 1465.31 + 1627.39i 0.478085 + 0.530967i 0.933148 0.359492i \(-0.117050\pi\)
−0.455063 + 0.890459i \(0.650383\pi\)
\(212\) −431.418 + 2029.66i −0.139764 + 0.657536i
\(213\) −502.574 + 517.669i −0.161670 + 0.166526i
\(214\) 853.771 181.475i 0.272722 0.0579689i
\(215\) −880.033 555.546i −0.279152 0.176223i
\(216\) −7660.23 + 1564.47i −2.41302 + 0.492818i
\(217\) −4569.96 6290.02i −1.42963 1.96771i
\(218\) −1799.96 + 1039.21i −0.559215 + 0.322863i
\(219\) −484.939 + 987.597i −0.149631 + 0.304729i
\(220\) 8531.48 + 4209.73i 2.61451 + 1.29009i
\(221\) −4751.36 + 2115.44i −1.44621 + 0.643892i
\(222\) 4223.56 1693.38i 1.27688 0.511947i
\(223\) −638.909 3005.83i −0.191859 0.902624i −0.963737 0.266854i \(-0.914016\pi\)
0.771878 0.635770i \(-0.219317\pi\)
\(224\) 9049.47 2.69930
\(225\) 2616.61 2131.66i 0.775291 0.631604i
\(226\) −475.073 −0.139829
\(227\) −729.977 3434.27i −0.213437 1.00414i −0.946181 0.323639i \(-0.895094\pi\)
0.732743 0.680505i \(-0.238240\pi\)
\(228\) 4023.97 + 3161.13i 1.16883 + 0.918207i
\(229\) −385.087 + 171.452i −0.111123 + 0.0494753i −0.461545 0.887117i \(-0.652705\pi\)
0.350422 + 0.936592i \(0.386038\pi\)
\(230\) −322.161 + 2218.26i −0.0923595 + 0.635948i
\(231\) 4412.39 + 6579.32i 1.25677 + 1.87397i
\(232\) −2899.43 + 1673.99i −0.820504 + 0.473718i
\(233\) 3100.33 + 4267.24i 0.871715 + 1.19981i 0.978647 + 0.205546i \(0.0658970\pi\)
−0.106933 + 0.994266i \(0.534103\pi\)
\(234\) 8528.64 + 2494.71i 2.38263 + 0.696942i
\(235\) 885.121 + 2220.08i 0.245698 + 0.616263i
\(236\) −6210.44 + 1320.07i −1.71299 + 0.364107i
\(237\) 5450.91 + 1374.47i 1.49399 + 0.376715i
\(238\) 2958.15 13917.0i 0.805666 3.79036i
\(239\) −1404.75 1560.13i −0.380191 0.422245i 0.522429 0.852683i \(-0.325026\pi\)
−0.902620 + 0.430438i \(0.858359\pi\)
\(240\) −3060.90 + 7420.52i −0.823250 + 1.99580i
\(241\) 3916.84 4350.09i 1.04691 1.16271i 0.0605433 0.998166i \(-0.480717\pi\)
0.986369 0.164548i \(-0.0526167\pi\)
\(242\) −2201.96 3030.73i −0.584905 0.805053i
\(243\) 2473.24 2869.14i 0.652916 0.757431i
\(244\) 7319.71 5318.08i 1.92048 1.39531i
\(245\) −8803.63 347.952i −2.29569 0.0907340i
\(246\) 1349.34 + 193.298i 0.349718 + 0.0500984i
\(247\) −1357.36 3048.67i −0.349662 0.785353i
\(248\) −9574.13 + 8620.59i −2.45144 + 2.20729i
\(249\) 2474.24 + 1555.24i 0.629713 + 0.395820i
\(250\) −656.604 7201.06i −0.166109 1.82174i
\(251\) 1218.17 0.306337 0.153168 0.988200i \(-0.451052\pi\)
0.153168 + 0.988200i \(0.451052\pi\)
\(252\) −13486.8 + 10422.0i −3.37137 + 2.60525i
\(253\) 1032.50 1421.11i 0.256572 0.353141i
\(254\) −1397.18 + 13293.3i −0.345146 + 3.28385i
\(255\) 3918.71 + 2684.78i 0.962349 + 0.659322i
\(256\) 601.372 + 5721.67i 0.146819 + 1.39689i
\(257\) −3289.02 1898.92i −0.798301 0.460900i 0.0445755 0.999006i \(-0.485806\pi\)
−0.842877 + 0.538107i \(0.819140\pi\)
\(258\) −2078.45 + 1393.90i −0.501545 + 0.336359i
\(259\) 3808.78 4230.08i 0.913769 1.01484i
\(260\) 10265.2 8533.46i 2.44855 2.03547i
\(261\) 615.637 1500.73i 0.146004 0.355910i
\(262\) −1349.27 + 438.404i −0.318161 + 0.103377i
\(263\) 5438.61 + 4896.94i 1.27513 + 1.14813i 0.981344 + 0.192260i \(0.0615816\pi\)
0.293785 + 0.955872i \(0.405085\pi\)
\(264\) 10078.2 8411.03i 2.34950 1.96085i
\(265\) −1223.10 177.633i −0.283527 0.0411769i
\(266\) 8929.72 + 1898.07i 2.05833 + 0.437512i
\(267\) 4817.87 + 2365.71i 1.10430 + 0.542244i
\(268\) −7994.99 + 4615.91i −1.82228 + 1.05210i
\(269\) −1332.80 + 968.336i −0.302090 + 0.219481i −0.728495 0.685051i \(-0.759780\pi\)
0.426405 + 0.904532i \(0.359780\pi\)
\(270\) −2138.74 7828.89i −0.482073 1.76463i
\(271\) −2572.45 1868.99i −0.576623 0.418941i 0.260882 0.965371i \(-0.415987\pi\)
−0.837505 + 0.546429i \(0.815987\pi\)
\(272\) −11235.9 1180.94i −2.50468 0.263253i
\(273\) 10951.8 1901.09i 2.42797 0.421463i
\(274\) 598.062 1035.87i 0.131862 0.228392i
\(275\) −2170.94 + 5234.21i −0.476046 + 1.14776i
\(276\) 3199.77 + 2011.29i 0.697839 + 0.438643i
\(277\) 1328.11 + 6248.26i 0.288081 + 1.35531i 0.849416 + 0.527724i \(0.176954\pi\)
−0.561335 + 0.827588i \(0.689712\pi\)
\(278\) −152.606 + 210.044i −0.0329234 + 0.0453151i
\(279\) 1116.58 6141.26i 0.239598 1.31781i
\(280\) 1365.57 + 20909.3i 0.291458 + 4.46274i
\(281\) −5087.18 2264.96i −1.07999 0.480841i −0.211918 0.977287i \(-0.567971\pi\)
−0.868067 + 0.496447i \(0.834638\pi\)
\(282\) 5743.16 + 215.848i 1.21277 + 0.0455799i
\(283\) −8079.48 + 849.188i −1.69709 + 0.178371i −0.903060 0.429514i \(-0.858685\pi\)
−0.794025 + 0.607885i \(0.792018\pi\)
\(284\) 2549.40 + 541.891i 0.532672 + 0.113223i
\(285\) −1722.66 + 2514.41i −0.358041 + 0.522598i
\(286\) −14593.4 + 3101.93i −3.01723 + 0.641332i
\(287\) 1621.68 526.916i 0.333536 0.108372i
\(288\) 5018.98 + 5252.93i 1.02690 + 1.07476i
\(289\) −547.801 + 1685.96i −0.111500 + 0.343163i
\(290\) −1930.12 2890.08i −0.390829 0.585212i
\(291\) 854.703 3389.60i 0.172177 0.682825i
\(292\) 3952.72 415.448i 0.792176 0.0832611i
\(293\) 3286.20 + 1897.29i 0.655228 + 0.378296i 0.790456 0.612518i \(-0.209843\pi\)
−0.135228 + 0.990814i \(0.543177\pi\)
\(294\) −9338.10 + 19017.4i −1.85241 + 3.77251i
\(295\) −1025.67 3640.02i −0.202431 0.718407i
\(296\) −7630.70 5544.03i −1.49840 1.08865i
\(297\) −1371.90 + 6210.25i −0.268032 + 1.21332i
\(298\) 16921.5 + 5498.13i 3.28938 + 1.06878i
\(299\) −1232.38 2134.55i −0.238363 0.412857i
\(300\) −11549.7 3904.66i −2.22274 0.751452i
\(301\) −1565.25 + 2711.10i −0.299734 + 0.519154i
\(302\) −2087.62 + 1879.70i −0.397778 + 0.358161i
\(303\) −6736.95 + 2701.09i −1.27732 + 0.512123i
\(304\) 757.737 7209.39i 0.142958 1.36015i
\(305\) 3445.01 + 4144.13i 0.646755 + 0.778008i
\(306\) 9719.02 6001.48i 1.81568 1.12118i
\(307\) 5051.91i 0.939179i −0.882885 0.469589i \(-0.844402\pi\)
0.882885 0.469589i \(-0.155598\pi\)
\(308\) 11639.6 26143.1i 2.15335 4.83649i
\(309\) −8488.23 + 2409.55i −1.56271 + 0.443607i
\(310\) −9577.18 9334.03i −1.75467 1.71012i
\(311\) 1748.50 + 1941.90i 0.318804 + 0.354068i 0.881152 0.472833i \(-0.156769\pi\)
−0.562348 + 0.826901i \(0.690102\pi\)
\(312\) −5029.86 17718.9i −0.912692 3.21518i
\(313\) −6445.51 5803.57i −1.16397 1.04804i −0.998083 0.0618964i \(-0.980285\pi\)
−0.165885 0.986145i \(-0.553048\pi\)
\(314\) −1704.77 + 5246.75i −0.306388 + 0.942965i
\(315\) −6717.96 7611.48i −1.20163 1.36145i
\(316\) −6275.29 19313.3i −1.11713 3.43817i
\(317\) −894.325 + 2008.69i −0.158455 + 0.355896i −0.975274 0.220998i \(-0.929069\pi\)
0.816819 + 0.576894i \(0.195735\pi\)
\(318\) −1581.63 + 2516.22i −0.278909 + 0.443719i
\(319\) 284.680 + 2708.55i 0.0499655 + 0.475390i
\(320\) 3161.11 542.420i 0.552224 0.0947568i
\(321\) 867.717 + 124.304i 0.150876 + 0.0216136i
\(322\) 6705.68 + 704.796i 1.16054 + 0.121977i
\(323\) −4079.87 1325.63i −0.702818 0.228359i
\(324\) −13529.6 2048.44i −2.31989 0.351241i
\(325\) 5470.45 + 5770.03i 0.933679 + 0.984812i
\(326\) 9809.19 + 16990.0i 1.66651 + 2.88647i
\(327\) −2056.55 + 356.989i −0.347790 + 0.0603716i
\(328\) −1149.22 2581.20i −0.193461 0.434521i
\(329\) 6567.71 2924.13i 1.10058 0.490008i
\(330\) 9394.21 + 9870.32i 1.56707 + 1.64649i
\(331\) −5784.95 2575.62i −0.960633 0.427701i −0.134336 0.990936i \(-0.542890\pi\)
−0.826297 + 0.563235i \(0.809557\pi\)
\(332\) 10557.0i 1.74516i
\(333\) 4567.84 135.194i 0.751699 0.0222480i
\(334\) −4043.84 12445.7i −0.662483 2.03891i
\(335\) −3053.87 4572.75i −0.498062 0.745779i
\(336\) 22667.4 + 8318.58i 3.68038 + 1.35064i
\(337\) 1137.11 5349.66i 0.183804 0.864732i −0.785499 0.618863i \(-0.787593\pi\)
0.969303 0.245869i \(-0.0790732\pi\)
\(338\) −1989.07 + 9357.83i −0.320092 + 1.50591i
\(339\) −447.896 164.371i −0.0717591 0.0263345i
\(340\) 677.682 17146.2i 0.108096 2.73496i
\(341\) 3238.53 + 9967.18i 0.514300 + 1.58285i
\(342\) 3850.80 + 6236.12i 0.608852 + 0.985997i
\(343\) 14966.9i 2.35609i
\(344\) 4738.90 + 2109.89i 0.742745 + 0.330691i
\(345\) −1071.23 + 1979.90i −0.167168 + 0.308969i
\(346\) 1475.98 657.148i 0.229333 0.102106i
\(347\) −3725.45 8367.50i −0.576348 1.29450i −0.932871 0.360211i \(-0.882705\pi\)
0.356523 0.934286i \(-0.383962\pi\)
\(348\) −5773.33 + 1002.17i −0.889318 + 0.154374i
\(349\) −2334.97 4044.29i −0.358132 0.620303i 0.629517 0.776987i \(-0.283253\pi\)
−0.987649 + 0.156684i \(0.949920\pi\)
\(350\) −21566.1 + 2829.00i −3.29360 + 0.432047i
\(351\) 7177.59 + 5302.82i 1.09149 + 0.806393i
\(352\) −11601.2 3769.44i −1.75666 0.570773i
\(353\) 10055.6 + 1056.88i 1.51616 + 0.159354i 0.825737 0.564055i \(-0.190760\pi\)
0.690419 + 0.723410i \(0.257426\pi\)
\(354\) −9002.01 1289.57i −1.35156 0.193615i
\(355\) −223.119 + 1536.30i −0.0333576 + 0.229686i
\(356\) −2026.71 19282.8i −0.301728 2.87075i
\(357\) 7604.08 12097.4i 1.12731 1.79345i
\(358\) −3479.08 + 7814.13i −0.513617 + 1.15360i
\(359\) −3140.67 9665.98i −0.461722 1.42103i −0.863059 0.505103i \(-0.831454\pi\)
0.401337 0.915930i \(-0.368546\pi\)
\(360\) −11379.8 + 12389.3i −1.66602 + 1.81381i
\(361\) −1268.97 + 3905.48i −0.185008 + 0.569395i
\(362\) −5595.30 5038.03i −0.812383 0.731473i
\(363\) −1027.38 3619.21i −0.148550 0.523304i
\(364\) −26868.4 29840.4i −3.86892 4.29687i
\(365\) 400.361 + 2333.23i 0.0574133 + 0.334593i
\(366\) 12466.4 3538.82i 1.78040 0.505402i
\(367\) −1352.09 + 3036.85i −0.192313 + 0.431941i −0.983806 0.179237i \(-0.942637\pi\)
0.791493 + 0.611178i \(0.209304\pi\)
\(368\) 5354.01i 0.758416i
\(369\) 1205.27 + 649.098i 0.170037 + 0.0915737i
\(370\) 5226.48 8279.19i 0.734356 1.16328i
\(371\) −388.609 + 3697.37i −0.0543816 + 0.517407i
\(372\) −20928.9 + 8391.17i −2.91698 + 1.16952i
\(373\) 1719.14 1547.92i 0.238643 0.214875i −0.541127 0.840941i \(-0.682002\pi\)
0.779771 + 0.626065i \(0.215336\pi\)
\(374\) −9589.22 + 16609.0i −1.32579 + 2.29634i
\(375\) 1872.46 7016.29i 0.257849 0.966185i
\(376\) −5956.43 10316.8i −0.816967 1.41503i
\(377\) 3634.40 + 1180.89i 0.496501 + 0.161323i
\(378\) −23277.1 + 7358.43i −3.16732 + 1.00126i
\(379\) 5003.92 + 3635.56i 0.678191 + 0.492734i 0.872757 0.488155i \(-0.162330\pi\)
−0.194566 + 0.980889i \(0.562330\pi\)
\(380\) 11001.7 + 434.829i 1.48520 + 0.0587007i
\(381\) −5916.62 + 12049.4i −0.795584 + 1.62024i
\(382\) −3794.10 2190.53i −0.508176 0.293395i
\(383\) 3599.31 378.303i 0.480199 0.0504709i 0.138663 0.990340i \(-0.455720\pi\)
0.341536 + 0.939869i \(0.389053\pi\)
\(384\) −849.153 + 3367.59i −0.112847 + 0.447531i
\(385\) 15990.3 + 5903.37i 2.11673 + 0.781464i
\(386\) 3993.26 12290.0i 0.526558 1.62058i
\(387\) −2441.82 + 595.039i −0.320736 + 0.0781590i
\(388\) −12009.8 + 3902.23i −1.57141 + 0.510582i
\(389\) −6454.56 + 1371.96i −0.841284 + 0.178820i −0.608347 0.793671i \(-0.708167\pi\)
−0.232937 + 0.972492i \(0.574834\pi\)
\(390\) 18013.6 6408.78i 2.33885 0.832105i
\(391\) −3099.13 658.741i −0.400843 0.0852019i
\(392\) 43674.7 4590.40i 5.62731 0.591454i
\(393\) −1423.76 53.5100i −0.182747 0.00686825i
\(394\) 6493.84 + 2891.24i 0.830343 + 0.369692i
\(395\) 11235.6 4479.50i 1.43120 0.570602i
\(396\) 21630.8 7742.92i 2.74492 0.982567i
\(397\) −7522.63 + 10354.0i −0.951007 + 1.30895i 7.10551e−5 1.00000i \(0.499977\pi\)
−0.951078 + 0.308949i \(0.900023\pi\)
\(398\) 3528.46 + 16600.1i 0.444386 + 2.09067i
\(399\) 7762.17 + 4879.09i 0.973921 + 0.612180i
\(400\) 4024.10 + 16796.1i 0.503012 + 2.09951i
\(401\) 3498.17 6059.01i 0.435636 0.754545i −0.561711 0.827334i \(-0.689857\pi\)
0.997347 + 0.0727891i \(0.0231900\pi\)
\(402\) −13027.9 + 2261.46i −1.61635 + 0.280576i
\(403\) 14624.6 + 1537.11i 1.80770 + 0.189997i
\(404\) 21212.3 + 15411.6i 2.61225 + 1.89791i
\(405\) 692.332 8121.01i 0.0849439 0.996386i
\(406\) −8457.40 + 6144.66i −1.03383 + 0.751119i
\(407\) −6644.73 + 3836.34i −0.809256 + 0.467224i
\(408\) −21253.0 10435.9i −2.57888 1.26630i
\(409\) −9106.76 1935.70i −1.10098 0.234020i −0.378629 0.925548i \(-0.623604\pi\)
−0.722350 + 0.691528i \(0.756938\pi\)
\(410\) 2595.95 1365.02i 0.312694 0.164423i
\(411\) 922.251 769.691i 0.110684 0.0923748i
\(412\) 23687.4 + 21328.2i 2.83250 + 2.55040i
\(413\) −10818.9 + 3515.28i −1.28902 + 0.418827i
\(414\) 3309.97 + 4283.33i 0.392937 + 0.508488i
\(415\) 6274.71 409.797i 0.742201 0.0484726i
\(416\) −11452.8 + 12719.6i −1.34980 + 1.49911i
\(417\) −216.549 + 145.228i −0.0254303 + 0.0170548i
\(418\) −10657.0 6152.84i −1.24701 0.719964i
\(419\) 953.299 + 9070.03i 0.111150 + 1.05752i 0.897886 + 0.440229i \(0.145103\pi\)
−0.786736 + 0.617289i \(0.788231\pi\)
\(420\) −10364.1 + 35178.7i −1.20409 + 4.08701i
\(421\) 638.536 6075.27i 0.0739201 0.703303i −0.893317 0.449427i \(-0.851628\pi\)
0.967237 0.253875i \(-0.0817053\pi\)
\(422\) 6659.87 9166.53i 0.768241 1.05739i
\(423\) 5339.93 + 2190.58i 0.613797 + 0.251796i
\(424\) 6160.42 0.705605
\(425\) 10217.4 262.783i 1.16616 0.0299926i
\(426\) 3160.55 + 1986.63i 0.359458 + 0.225945i
\(427\) 12046.7 10846.9i 1.36530 1.22932i
\(428\) −1287.95 2892.79i −0.145457 0.326701i
\(429\) −14831.8 2124.71i −1.66920 0.239119i
\(430\) −1864.91 + 5051.44i −0.209149 + 0.566517i
\(431\) 4614.75 3352.81i 0.515742 0.374708i −0.299256 0.954173i \(-0.596738\pi\)
0.814997 + 0.579465i \(0.196738\pi\)
\(432\) 7743.02 + 17771.3i 0.862353 + 1.97922i
\(433\) −1348.00 1855.36i −0.149609 0.205919i 0.727634 0.685965i \(-0.240620\pi\)
−0.877243 + 0.480046i \(0.840620\pi\)
\(434\) −26917.5 + 29894.9i −2.97714 + 3.30645i
\(435\) −819.760 3392.55i −0.0903551 0.373932i
\(436\) 5045.37 + 5603.45i 0.554196 + 0.615497i
\(437\) 422.675 1988.53i 0.0462684 0.217676i
\(438\) 5519.87 + 1391.86i 0.602168 + 0.151839i
\(439\) 12253.7 2604.60i 1.33220 0.283168i 0.513848 0.857881i \(-0.328220\pi\)
0.818355 + 0.574713i \(0.194886\pi\)
\(440\) 6958.88 27373.9i 0.753980 2.96591i
\(441\) −15383.7 + 14698.6i −1.66113 + 1.58715i
\(442\) 15817.4 + 21770.8i 1.70217 + 2.34283i
\(443\) 6870.78 3966.85i 0.736886 0.425441i −0.0840500 0.996462i \(-0.526786\pi\)
0.820936 + 0.571020i \(0.193452\pi\)
\(444\) −9194.79 13710.3i −0.982805 1.46546i
\(445\) 11382.3 1953.11i 1.21253 0.208059i
\(446\) −14525.1 + 6466.99i −1.54212 + 0.686594i
\(447\) 14051.2 + 11038.3i 1.48679 + 1.16799i
\(448\) −2005.87 9436.89i −0.211537 0.995203i
\(449\) −4880.83 −0.513008 −0.256504 0.966543i \(-0.582571\pi\)
−0.256504 + 0.966543i \(0.582571\pi\)
\(450\) −13603.1 10949.4i −1.42501 1.14703i
\(451\) −2298.43 −0.239975
\(452\) 358.335 + 1685.83i 0.0372890 + 0.175431i
\(453\) −2618.55 + 1049.87i −0.271590 + 0.108890i
\(454\) −16595.5 + 7388.78i −1.71556 + 0.763816i
\(455\) 16693.1 17127.9i 1.71996 1.76477i
\(456\) 6696.07 13636.8i 0.687659 1.40044i
\(457\) −14467.3 + 8352.68i −1.48085 + 0.854972i −0.999765 0.0216996i \(-0.993092\pi\)
−0.481090 + 0.876671i \(0.659759\pi\)
\(458\) 1281.97 + 1764.47i 0.130791 + 0.180018i
\(459\) 11239.5 2295.47i 1.14295 0.233428i
\(460\) 8114.67 529.963i 0.822497 0.0537166i
\(461\) 1167.23 248.103i 0.117925 0.0250658i −0.148571 0.988902i \(-0.547467\pi\)
0.266496 + 0.963836i \(0.414134\pi\)
\(462\) 28551.1 29408.6i 2.87515 2.96150i
\(463\) −1389.93 + 6539.11i −0.139515 + 0.656368i 0.851691 + 0.524044i \(0.175577\pi\)
−0.991207 + 0.132324i \(0.957756\pi\)
\(464\) 5554.45 + 6168.84i 0.555730 + 0.617201i
\(465\) −5799.81 12113.7i −0.578408 1.20808i
\(466\) 18261.2 20281.1i 1.81531 2.01611i
\(467\) −7250.68 9979.71i −0.718461 0.988877i −0.999574 0.0292025i \(-0.990703\pi\)
0.281112 0.959675i \(-0.409297\pi\)
\(468\) 2419.75 32146.2i 0.239002 3.17512i
\(469\) −13381.5 + 9722.22i −1.31748 + 0.957207i
\(470\) 10283.6 6867.80i 1.00925 0.674017i
\(471\) −3422.57 + 4356.76i −0.334828 + 0.426219i
\(472\) 7666.95 + 17220.3i 0.747670 + 1.67929i
\(473\) 3135.89 2823.56i 0.304838 0.274477i
\(474\) 1092.38 29065.5i 0.105854 2.81650i
\(475\) 168.613 + 6555.91i 0.0162873 + 0.633275i
\(476\) −51616.8 −4.97027
\(477\) −2361.73 + 1825.05i −0.226701 + 0.175185i
\(478\) −6384.63 + 8787.69i −0.610933 + 0.840877i
\(479\) 40.0969 381.496i 0.00382479 0.0363904i −0.992443 0.122706i \(-0.960843\pi\)
0.996268 + 0.0863158i \(0.0275094\pi\)
\(480\) 15374.7 + 2826.14i 1.46199 + 0.268740i
\(481\) 1125.34 + 10706.9i 0.106676 + 1.01496i
\(482\) −26229.2 15143.4i −2.47864 1.43105i
\(483\) 6078.22 + 2984.58i 0.572606 + 0.281166i
\(484\) −9093.90 + 10099.8i −0.854048 + 0.948516i
\(485\) −2785.54 6986.74i −0.260793 0.654126i
\(486\) −17181.2 9430.54i −1.60361 0.880202i
\(487\) 248.639 80.7876i 0.0231353 0.00751711i −0.297426 0.954745i \(-0.596128\pi\)
0.320562 + 0.947228i \(0.396128\pi\)
\(488\) −19961.9 17973.7i −1.85170 1.66728i
\(489\) 3369.65 + 19412.0i 0.311617 + 1.79517i
\(490\) 7709.46 + 44929.2i 0.710771 + 4.14223i
\(491\) 13446.8 + 2858.20i 1.23593 + 0.262706i 0.779130 0.626862i \(-0.215661\pi\)
0.456803 + 0.889568i \(0.348994\pi\)
\(492\) −331.839 4934.03i −0.0304074 0.452120i
\(493\) 4254.19 2456.16i 0.388639 0.224381i
\(494\) −13969.1 + 10149.1i −1.27226 + 0.924353i
\(495\) 5441.76 + 12556.0i 0.494119 + 1.14010i
\(496\) 25842.3 + 18775.5i 2.33942 + 1.69969i
\(497\) 4644.15 + 488.120i 0.419152 + 0.0440547i
\(498\) 5209.37 14195.1i 0.468750 1.27730i
\(499\) −5012.88 + 8682.56i −0.449714 + 0.778927i −0.998367 0.0571227i \(-0.981807\pi\)
0.548653 + 0.836050i \(0.315141\pi\)
\(500\) −25058.2 + 7761.57i −2.24128 + 0.694216i
\(501\) 493.577 13132.8i 0.0440147 1.17112i
\(502\) −1310.44 6165.14i −0.116510 0.548135i
\(503\) −3652.97 + 5027.88i −0.323813 + 0.445690i −0.939627 0.342202i \(-0.888827\pi\)
0.615814 + 0.787892i \(0.288827\pi\)
\(504\) 38590.2 + 32732.3i 3.41060 + 2.89289i
\(505\) −8336.69 + 13206.0i −0.734610 + 1.16368i
\(506\) −8302.92 3696.70i −0.729466 0.324779i
\(507\) −5113.00 + 8134.30i −0.447882 + 0.712538i
\(508\) 48226.2 5068.77i 4.21199 0.442698i
\(509\) 6281.34 + 1335.14i 0.546985 + 0.116265i 0.473112 0.881002i \(-0.343131\pi\)
0.0738732 + 0.997268i \(0.476464\pi\)
\(510\) 9372.05 22720.6i 0.813728 1.97272i
\(511\) 6965.39 1480.54i 0.602996 0.128171i
\(512\) 23224.9 7546.24i 2.00470 0.651367i
\(513\) 1472.87 + 7211.71i 0.126761 + 0.620672i
\(514\) −6072.22 + 18688.4i −0.521078 + 1.60371i
\(515\) −11757.2 + 14906.8i −1.00599 + 1.27548i
\(516\) 6514.09 + 6324.14i 0.555749 + 0.539544i
\(517\) −9637.63 + 1012.96i −0.819850 + 0.0861697i
\(518\) −25505.6 14725.6i −2.16342 1.24905i
\(519\) 1618.91 108.880i 0.136922 0.00920867i
\(520\) −31117.5 24542.8i −2.62421 2.06976i
\(521\) 13462.0 + 9780.70i 1.13202 + 0.822457i 0.985987 0.166823i \(-0.0533509\pi\)
0.146028 + 0.989280i \(0.453351\pi\)
\(522\) −8257.39 1501.33i −0.692368 0.125884i
\(523\) −7582.24 2463.62i −0.633936 0.205978i −0.0256179 0.999672i \(-0.508155\pi\)
−0.608318 + 0.793694i \(0.708155\pi\)
\(524\) 2573.43 + 4457.30i 0.214543 + 0.371600i
\(525\) −21311.2 4794.52i −1.77161 0.398571i
\(526\) 18932.7 32792.5i 1.56940 2.71829i
\(527\) 14047.6 12648.6i 1.16115 1.04550i
\(528\) −25593.9 20106.0i −2.10953 1.65720i
\(529\) −1114.85 + 10607.1i −0.0916289 + 0.871791i
\(530\) 416.750 + 6381.17i 0.0341556 + 0.522982i
\(531\) −8040.85 4330.41i −0.657144 0.353905i
\(532\) 33119.4i 2.69908i
\(533\) −1311.74 + 2946.22i −0.106600 + 0.239428i
\(534\) 6790.01 26928.0i 0.550248 2.18219i
\(535\) 1669.37 877.802i 0.134903 0.0709359i
\(536\) 18339.6 + 20368.2i 1.47789 + 1.64136i
\(537\) −5983.66 + 6163.38i −0.480846 + 0.495288i
\(538\) 6334.47 + 5703.58i 0.507618 + 0.457061i
\(539\) 11039.2 33975.2i 0.882175 2.71505i
\(540\) −26168.2 + 13494.6i −2.08537 + 1.07540i
\(541\) −3547.86 10919.2i −0.281949 0.867750i −0.987297 0.158888i \(-0.949209\pi\)
0.705348 0.708862i \(-0.250791\pi\)
\(542\) −6691.62 + 15029.6i −0.530313 + 1.19110i
\(543\) −3532.10 6685.74i −0.279147 0.528384i
\(544\) 2299.82 + 21881.3i 0.181257 + 1.72455i
\(545\) −3134.64 + 3216.30i −0.246373 + 0.252791i
\(546\) −21402.7 53381.9i −1.67757 4.18413i
\(547\) 22109.6 + 2323.81i 1.72822 + 0.181643i 0.915856 0.401506i \(-0.131513\pi\)
0.812365 + 0.583150i \(0.198180\pi\)
\(548\) −4126.98 1340.94i −0.321707 0.104529i
\(549\) 12977.6 + 976.865i 1.00887 + 0.0759410i
\(550\) 28825.5 + 5356.41i 2.23477 + 0.415269i
\(551\) 1575.97 + 2729.66i 0.121849 + 0.211048i
\(552\) 3865.67 10533.6i 0.298069 0.812210i
\(553\) −14798.7 33238.4i −1.13798 2.55595i
\(554\) 30193.5 13443.0i 2.31552 1.03094i
\(555\) 7792.01 5997.25i 0.595950 0.458683i
\(556\) 860.463 + 383.103i 0.0656327 + 0.0292215i
\(557\) 7561.46i 0.575205i −0.957750 0.287603i \(-0.907142\pi\)
0.957750 0.287603i \(-0.0928582\pi\)
\(558\) −32281.9 + 955.443i −2.44911 + 0.0724859i
\(559\) −1829.67 5631.15i −0.138438 0.426069i
\(560\) 50005.7 14090.5i 3.77344 1.06327i
\(561\) −14787.2 + 12341.1i −1.11286 + 0.928772i
\(562\) −5990.39 + 28182.6i −0.449626 + 2.11532i
\(563\) 4610.97 21692.9i 0.345167 1.62388i −0.372873 0.927882i \(-0.621627\pi\)
0.718040 0.696001i \(-0.245039\pi\)
\(564\) −3565.95 20542.8i −0.266230 1.53370i
\(565\) −988.087 + 278.421i −0.0735737 + 0.0207314i
\(566\) 12989.1 + 39976.5i 0.964619 + 2.96879i
\(567\) −24491.5 1116.19i −1.81401 0.0826732i
\(568\) 7737.92i 0.571613i
\(569\) −18402.1 8193.16i −1.35581 0.603647i −0.405258 0.914202i \(-0.632818\pi\)
−0.950555 + 0.310555i \(0.899485\pi\)
\(570\) 14578.5 + 6013.49i 1.07127 + 0.441890i
\(571\) −2003.51 + 892.019i −0.146837 + 0.0653762i −0.478840 0.877902i \(-0.658942\pi\)
0.332002 + 0.943279i \(0.392276\pi\)
\(572\) 22014.9 + 49446.2i 1.60924 + 3.61442i
\(573\) −2819.15 3377.94i −0.205535 0.246275i
\(574\) −4411.22 7640.45i −0.320768 0.555586i
\(575\) 629.981 + 4802.49i 0.0456905 + 0.348309i
\(576\) 4365.33 6398.20i 0.315779 0.462832i
\(577\) −15454.6 5021.49i −1.11505 0.362300i −0.307171 0.951654i \(-0.599382\pi\)
−0.807875 + 0.589354i \(0.799382\pi\)
\(578\) 9121.87 + 958.747i 0.656436 + 0.0689942i
\(579\) 8017.03 10205.3i 0.575434 0.732499i
\(580\) −8799.84 + 9029.07i −0.629989 + 0.646400i
\(581\) −1977.13 18811.1i −0.141179 1.34323i
\(582\) −18074.1 679.287i −1.28728 0.0483803i
\(583\) 2038.28 4578.05i 0.144797 0.325220i
\(584\) −3646.33 11222.2i −0.258366 0.795170i
\(585\) 19200.5 + 190.376i 1.35699 + 0.0134549i
\(586\) 6067.01 18672.3i 0.427689 1.31629i
\(587\) 7968.34 + 7174.73i 0.560288 + 0.504485i 0.899909 0.436077i \(-0.143632\pi\)
−0.339622 + 0.940562i \(0.610299\pi\)
\(588\) 74528.2 + 18792.6i 5.22703 + 1.31802i
\(589\) 8115.84 + 9013.55i 0.567754 + 0.630555i
\(590\) −17318.7 + 9106.63i −1.20847 + 0.635447i
\(591\) 5122.01 + 4972.65i 0.356499 + 0.346104i
\(592\) −9511.92 + 21364.1i −0.660367 + 1.48321i
\(593\) 725.283i 0.0502257i −0.999685 0.0251128i \(-0.992005\pi\)
0.999685 0.0251128i \(-0.00799450\pi\)
\(594\) 32905.7 + 262.511i 2.27296 + 0.0181329i
\(595\) −2003.63 30679.1i −0.138052 2.11382i
\(596\) 6747.09 64194.2i 0.463711 4.41191i
\(597\) −2416.87 + 16871.3i −0.165688 + 1.15661i
\(598\) −9477.16 + 8533.27i −0.648077 + 0.583531i
\(599\) 1742.71 3018.47i 0.118874 0.205895i −0.800448 0.599402i \(-0.795405\pi\)
0.919322 + 0.393507i \(0.128738\pi\)
\(600\) −4209.90 + 35950.5i −0.286448 + 2.44612i
\(601\) 1152.87 + 1996.84i 0.0782474 + 0.135528i 0.902494 0.430703i \(-0.141734\pi\)
−0.824246 + 0.566231i \(0.808401\pi\)
\(602\) 15404.6 + 5005.26i 1.04293 + 0.338869i
\(603\) −13065.0 2375.43i −0.882336 0.160423i
\(604\) 8244.89 + 5990.26i 0.555430 + 0.403543i
\(605\) −6355.96 5013.03i −0.427118 0.336874i
\(606\) 20917.3 + 31189.8i 1.40216 + 2.09076i
\(607\) −5165.06 2982.05i −0.345376 0.199403i 0.317271 0.948335i \(-0.397234\pi\)
−0.662647 + 0.748932i \(0.730567\pi\)
\(608\) −14040.0 + 1475.66i −0.936506 + 0.0984307i
\(609\) −10099.6 + 2866.96i −0.672012 + 0.190764i
\(610\) 17267.4 21893.1i 1.14613 1.45316i
\(611\) −4201.87 + 12932.0i −0.278215 + 0.856258i
\(612\) −28627.5 29961.9i −1.89085 1.97898i
\(613\) 8847.38 2874.69i 0.582940 0.189409i −0.00267697 0.999996i \(-0.500852\pi\)
0.585617 + 0.810588i \(0.300852\pi\)
\(614\) −25567.6 + 5434.56i −1.68049 + 0.357200i
\(615\) 2919.72 388.759i 0.191438 0.0254899i
\(616\) −83104.1 17664.3i −5.43565 1.15538i
\(617\) −19908.7 + 2092.49i −1.29902 + 0.136532i −0.728666 0.684869i \(-0.759859\pi\)
−0.570351 + 0.821401i \(0.693193\pi\)
\(618\) 21325.8 + 40366.6i 1.38811 + 2.62748i
\(619\) 25257.8 + 11245.5i 1.64006 + 0.730201i 0.999295 0.0375377i \(-0.0119514\pi\)
0.640763 + 0.767739i \(0.278618\pi\)
\(620\) −25898.7 + 41025.7i −1.67761 + 2.65747i
\(621\) 1638.62 + 5183.51i 0.105887 + 0.334955i
\(622\) 7946.97 10938.1i 0.512290 0.705107i
\(623\) −7222.62 33979.8i −0.464476 2.18519i
\(624\) −40379.5 + 21332.6i −2.59050 + 1.36857i
\(625\) −5585.89 14592.4i −0.357497 0.933914i
\(626\) −22438.0 + 38863.7i −1.43259 + 2.48132i
\(627\) −7918.55 9488.08i −0.504364 0.604334i
\(628\) 19904.3 + 2092.03i 1.26476 + 0.132932i
\(629\) 11196.1 + 8134.48i 0.709729 + 0.515648i
\(630\) −31294.7 + 42187.4i −1.97906 + 2.66791i
\(631\) −11180.7 + 8123.27i −0.705385 + 0.512492i −0.881681 0.471845i \(-0.843588\pi\)
0.176297 + 0.984337i \(0.443588\pi\)
\(632\) −52212.3 + 30144.8i −3.28623 + 1.89730i
\(633\) 9450.42 6337.89i 0.593397 0.397960i
\(634\) 11128.0 + 2365.32i 0.697078 + 0.148169i
\(635\) 4884.71 + 28467.1i 0.305266 + 1.77903i
\(636\) 10122.0 + 3714.60i 0.631072 + 0.231594i
\(637\) −37250.6 33540.6i −2.31699 2.08623i
\(638\) 13401.6 4354.45i 0.831623 0.270211i
\(639\) 2292.38 + 2966.50i 0.141918 + 0.183651i
\(640\) 2767.45 + 6941.37i 0.170927 + 0.428721i
\(641\) −1837.37 + 2040.61i −0.113217 + 0.125740i −0.797089 0.603862i \(-0.793628\pi\)
0.683872 + 0.729602i \(0.260295\pi\)
\(642\) −304.344 4525.21i −0.0187095 0.278187i
\(643\) 9310.72 + 5375.54i 0.571040 + 0.329690i 0.757565 0.652760i \(-0.226389\pi\)
−0.186524 + 0.982450i \(0.559722\pi\)
\(644\) −2556.89 24327.2i −0.156453 1.48855i
\(645\) −3505.98 + 4117.22i −0.214028 + 0.251342i
\(646\) −2320.09 + 22074.2i −0.141304 + 1.34442i
\(647\) −812.833 + 1118.77i −0.0493906 + 0.0679804i −0.832998 0.553276i \(-0.813377\pi\)
0.783607 + 0.621256i \(0.213377\pi\)
\(648\) 2402.67 + 40554.3i 0.145657 + 2.45852i
\(649\) 15333.8 0.927432
\(650\) 23317.2 33892.8i 1.40704 2.04521i
\(651\) −35720.9 + 18871.5i −2.15056 + 1.13615i
\(652\) 52891.5 47623.7i 3.17698 2.86057i
\(653\) −2650.39 5952.87i −0.158833 0.356744i 0.816546 0.577280i \(-0.195886\pi\)
−0.975379 + 0.220536i \(0.929219\pi\)
\(654\) 4019.02 + 10024.1i 0.240300 + 0.599347i
\(655\) −2549.36 + 1702.57i −0.152079 + 0.101565i
\(656\) −5667.56 + 4117.73i −0.337319 + 0.245077i
\(657\) 4722.52 + 3222.06i 0.280431 + 0.191331i
\(658\) −21864.1 30093.4i −1.29537 1.78292i
\(659\) 12184.3 13532.1i 0.720234 0.799901i −0.266225 0.963911i \(-0.585776\pi\)
0.986459 + 0.164010i \(0.0524430\pi\)
\(660\) 27939.7 40781.0i 1.64781 2.40515i
\(661\) 2066.16 + 2294.71i 0.121580 + 0.135028i 0.800862 0.598849i \(-0.204375\pi\)
−0.679282 + 0.733878i \(0.737708\pi\)
\(662\) −6812.04 + 32048.1i −0.399936 + 1.88155i
\(663\) 7380.07 + 25998.1i 0.432305 + 1.52290i
\(664\) −30657.5 + 6516.46i −1.79178 + 0.380855i
\(665\) 19685.0 1285.61i 1.14790 0.0749683i
\(666\) −5598.02 22972.2i −0.325704 1.33657i
\(667\) 1368.33 + 1883.35i 0.0794335 + 0.109331i
\(668\) −41114.2 + 23737.3i −2.38137 + 1.37489i
\(669\) −15931.7 + 1071.49i −0.920709 + 0.0619224i
\(670\) −19857.4 + 20374.7i −1.14501 + 1.17484i
\(671\) −19961.7 + 8887.52i −1.14845 + 0.511325i
\(672\) 6668.06 46547.3i 0.382777 2.67202i
\(673\) −1874.22 8817.53i −0.107349 0.505038i −0.998665 0.0516552i \(-0.983550\pi\)
0.891316 0.453383i \(-0.149783\pi\)
\(674\) −28297.7 −1.61719
\(675\) −9036.48 15029.6i −0.515280 0.857022i
\(676\) 34707.3 1.97470
\(677\) −2072.39 9749.81i −0.117649 0.553494i −0.997006 0.0773306i \(-0.975360\pi\)
0.879357 0.476164i \(-0.157973\pi\)
\(678\) −350.055 + 2443.61i −0.0198286 + 0.138416i
\(679\) −20669.0 + 9202.45i −1.16820 + 0.520114i
\(680\) −50210.9 + 8615.75i −2.83162 + 0.485881i
\(681\) −18202.5 + 1224.21i −1.02426 + 0.0688869i
\(682\) 46959.7 27112.2i 2.63663 1.52226i
\(683\) −11398.4 15688.5i −0.638575 0.878924i 0.359963 0.932966i \(-0.382789\pi\)
−0.998539 + 0.0540429i \(0.982789\pi\)
\(684\) 19224.8 18368.6i 1.07468 1.02681i
\(685\) 636.804 2504.97i 0.0355198 0.139723i
\(686\) 75747.1 16100.5i 4.21580 0.896095i
\(687\) 598.137 + 2107.08i 0.0332174 + 0.117016i
\(688\) 2674.08 12580.5i 0.148180 0.697134i
\(689\) −4705.06 5225.50i −0.260158 0.288934i
\(690\) 11172.6 + 3291.60i 0.616424 + 0.181607i
\(691\) −304.220 + 337.870i −0.0167483 + 0.0186008i −0.751461 0.659778i \(-0.770650\pi\)
0.734712 + 0.678379i \(0.237317\pi\)
\(692\) −3445.23 4741.95i −0.189260 0.260494i
\(693\) 37092.9 17847.8i 2.03325 0.978331i
\(694\) −38340.0 + 27855.6i −2.09707 + 1.52361i
\(695\) −194.301 + 526.299i −0.0106047 + 0.0287247i
\(696\) 6473.96 + 16147.1i 0.352579 + 0.879389i
\(697\) 1686.20 + 3787.26i 0.0916346 + 0.205815i
\(698\) −17956.2 + 16167.8i −0.973713 + 0.876735i
\(699\) 24233.6 12802.7i 1.31130 0.692765i
\(700\) 26305.7 + 74395.2i 1.42037 + 4.01696i
\(701\) 7867.13 0.423876 0.211938 0.977283i \(-0.432022\pi\)
0.211938 + 0.977283i \(0.432022\pi\)
\(702\) 19116.2 42030.1i 1.02777 2.25972i
\(703\) −5219.42 + 7183.91i −0.280020 + 0.385414i
\(704\) −1359.35 + 12933.3i −0.0727733 + 0.692391i
\(705\) 12071.5 2916.89i 0.644877 0.155825i
\(706\) −5468.34 52027.8i −0.291507 2.77350i
\(707\) 40683.6 + 23488.7i 2.16416 + 1.24948i
\(708\) 2213.84 + 32917.0i 0.117516 + 1.74731i
\(709\) −16656.7 + 18499.1i −0.882307 + 0.979901i −0.999913 0.0131592i \(-0.995811\pi\)
0.117607 + 0.993060i \(0.462478\pi\)
\(710\) 8015.20 523.467i 0.423669 0.0276695i
\(711\) 11086.3 27024.8i 0.584764 1.42547i
\(712\) −54746.3 + 17788.1i −2.88161 + 0.936290i
\(713\) 6657.19 + 5994.16i 0.349669 + 0.314843i
\(714\) −69404.4 25470.3i −3.63781 1.33502i
\(715\) −28534.4 + 15004.2i −1.49249 + 0.784790i
\(716\) 30353.2 + 6451.77i 1.58429 + 0.336751i
\(717\) −9059.84 + 6075.95i −0.471891 + 0.316472i
\(718\) −45540.7 + 26292.9i −2.36708 + 1.36663i
\(719\) −6662.66 + 4840.70i −0.345584 + 0.251082i −0.747014 0.664808i \(-0.768513\pi\)
0.401430 + 0.915890i \(0.368513\pi\)
\(720\) 35913.1 + 21211.9i 1.85889 + 1.09795i
\(721\) 46201.9 + 33567.7i 2.38648 + 1.73388i
\(722\) 21130.6 + 2220.92i 1.08920 + 0.114479i
\(723\) −19489.2 23352.2i −1.00251 1.20121i
\(724\) −13657.4 + 23655.4i −0.701070 + 1.21429i
\(725\) −5708.14 4879.82i −0.292407 0.249975i
\(726\) −17211.5 + 9092.89i −0.879861 + 0.464833i
\(727\) 2882.94 + 13563.2i 0.147073 + 0.691926i 0.988459 + 0.151490i \(0.0484072\pi\)
−0.841385 + 0.540436i \(0.818259\pi\)
\(728\) −70071.4 + 96445.0i −3.56733 + 4.91001i
\(729\) −12935.5 14835.6i −0.657189 0.753726i
\(730\) 11377.7 4536.16i 0.576859 0.229988i
\(731\) −6953.14 3095.74i −0.351808 0.156635i
\(732\) −21960.8 41568.6i −1.10887 2.09893i
\(733\) −11103.7 + 1167.04i −0.559514 + 0.0588073i −0.380065 0.924960i \(-0.624098\pi\)
−0.179449 + 0.983767i \(0.557432\pi\)
\(734\) 16823.9 + 3576.03i 0.846025 + 0.179828i
\(735\) −8276.65 + 45026.3i −0.415359 + 2.25962i
\(736\) −10198.8 + 2167.83i −0.510780 + 0.108570i
\(737\) 21204.3 6889.71i 1.05980 0.344350i
\(738\) 1988.51 6798.09i 0.0991842 0.339080i
\(739\) 8142.68 25060.6i 0.405323 1.24745i −0.515303 0.857008i \(-0.672321\pi\)
0.920626 0.390447i \(-0.127679\pi\)
\(740\) −33321.5 12301.8i −1.65530 0.611111i
\(741\) −16681.4 + 4735.35i −0.827001 + 0.234761i
\(742\) 19130.3 2010.68i 0.946490 0.0994801i
\(743\) −25620.8 14792.2i −1.26505 0.730380i −0.291007 0.956721i \(-0.593990\pi\)
−0.974048 + 0.226341i \(0.927324\pi\)
\(744\) 37286.6 + 55598.0i 1.83736 + 2.73968i
\(745\) 38416.6 + 1518.37i 1.88923 + 0.0746693i
\(746\) −9683.35 7035.37i −0.475245 0.345286i
\(747\) 9822.72 11580.6i 0.481117 0.567219i
\(748\) 66171.2 + 21500.3i 3.23457 + 1.05098i
\(749\) −2836.71 4913.33i −0.138386 0.239692i
\(750\) −37523.5 1928.73i −1.82689 0.0939029i
\(751\) 2435.89 4219.09i 0.118358 0.205002i −0.800759 0.598987i \(-0.795570\pi\)
0.919117 + 0.393984i \(0.128904\pi\)
\(752\) −21950.1 + 19764.0i −1.06441 + 0.958402i
\(753\) 897.606 6265.85i 0.0434403 0.303241i
\(754\) 2066.76 19663.9i 0.0998235 0.949757i
\(755\) −3240.35 + 5132.99i −0.156196 + 0.247428i
\(756\) 43669.2 + 77050.4i 2.10084 + 3.70674i
\(757\) 19136.7i 0.918804i 0.888228 + 0.459402i \(0.151936\pi\)
−0.888228 + 0.459402i \(0.848064\pi\)
\(758\) 13016.5 29235.6i 0.623723 1.40090i
\(759\) −6548.91 6357.95i −0.313189 0.304057i
\(760\) −5528.22 32217.4i −0.263855 1.53769i
\(761\) −7405.77 8224.94i −0.352771 0.391792i 0.540475 0.841360i \(-0.318245\pi\)
−0.893246 + 0.449568i \(0.851578\pi\)
\(762\) 67346.6 + 16981.7i 3.20172 + 0.807327i
\(763\) 10039.6 + 9039.67i 0.476352 + 0.428909i
\(764\) −4911.46 + 15115.9i −0.232579 + 0.715804i
\(765\) 16697.0 18178.2i 0.789126 0.859129i
\(766\) −5786.50 17809.0i −0.272944 0.840034i
\(767\) 8751.18 19655.5i 0.411978 0.925317i
\(768\) 29873.3 + 1122.74i 1.40360 + 0.0527519i
\(769\) −1350.27 12847.0i −0.0633185 0.602436i −0.979468 0.201599i \(-0.935386\pi\)
0.916150 0.400837i \(-0.131280\pi\)
\(770\) 12675.3 87277.0i 0.593231 4.08473i
\(771\) −12190.8 + 15518.3i −0.569446 + 0.724876i