Properties

Label 147.4.o.a.101.42
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.42
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.42

$q$-expansion

\(f(q)\) \(=\) \(q+(3.31144 + 1.29964i) q^{2} +(-2.61396 + 4.49079i) q^{3} +(3.41215 + 3.16601i) q^{4} +(12.8821 + 8.78287i) q^{5} +(-14.4924 + 11.4738i) q^{6} +(-5.96320 + 17.5340i) q^{7} +(-5.16336 - 10.7218i) q^{8} +(-13.3344 - 23.4775i) q^{9} +O(q^{10})\) \(q+(3.31144 + 1.29964i) q^{2} +(-2.61396 + 4.49079i) q^{3} +(3.41215 + 3.16601i) q^{4} +(12.8821 + 8.78287i) q^{5} +(-14.4924 + 11.4738i) q^{6} +(-5.96320 + 17.5340i) q^{7} +(-5.16336 - 10.7218i) q^{8} +(-13.3344 - 23.4775i) q^{9} +(31.2437 + 45.8261i) q^{10} +(3.82129 + 25.3526i) q^{11} +(-23.1371 + 7.04741i) q^{12} +(-7.06195 + 5.63172i) q^{13} +(-42.5347 + 50.3127i) q^{14} +(-73.1154 + 34.8927i) q^{15} +(-5.94637 - 79.3488i) q^{16} +(31.1727 + 9.61551i) q^{17} +(-13.6436 - 95.0744i) q^{18} +(-15.4664 + 8.92954i) q^{19} +(16.1490 + 70.7534i) q^{20} +(-63.1538 - 72.6126i) q^{21} +(-20.2954 + 88.9200i) q^{22} +(24.5067 + 79.4488i) q^{23} +(61.6463 + 4.83891i) q^{24} +(43.1421 + 109.924i) q^{25} +(-30.7045 + 9.47108i) q^{26} +(140.288 + 1.48752i) q^{27} +(-75.8601 + 40.9490i) q^{28} +(-160.052 + 36.5308i) q^{29} +(-287.465 + 20.5211i) q^{30} +(52.5092 + 30.3162i) q^{31} +(55.3728 - 179.514i) q^{32} +(-123.842 - 49.1102i) q^{33} +(90.7299 + 72.3547i) q^{34} +(-230.817 + 173.500i) q^{35} +(28.8313 - 122.326i) q^{36} +(223.035 - 206.946i) q^{37} +(-62.8213 + 9.46879i) q^{38} +(-6.83118 - 46.4349i) q^{39} +(27.6534 - 183.469i) q^{40} +(440.806 - 212.281i) q^{41} +(-114.759 - 322.530i) q^{42} +(470.532 + 226.596i) q^{43} +(-67.2279 + 98.6053i) q^{44} +(34.4252 - 419.554i) q^{45} +(-22.1027 + 294.940i) q^{46} +(136.422 - 347.596i) q^{47} +(371.883 + 180.711i) q^{48} +(-271.881 - 209.117i) q^{49} +420.077i q^{50} +(-124.666 + 114.856i) q^{51} +(-41.9266 - 3.14196i) q^{52} +(-70.1006 + 75.5505i) q^{53} +(462.623 + 187.251i) q^{54} +(-173.442 + 360.157i) q^{55} +(218.786 - 26.5978i) q^{56} +(0.327977 - 92.7979i) q^{57} +(-577.480 - 87.0411i) q^{58} +(394.513 - 268.975i) q^{59} +(-359.951 - 112.425i) q^{60} +(86.5485 + 93.2771i) q^{61} +(134.481 + 168.634i) q^{62} +(491.170 - 93.8036i) q^{63} +(19.7732 - 24.7949i) q^{64} +(-140.435 + 10.5242i) q^{65} +(-346.270 - 323.576i) q^{66} +(-216.777 + 375.469i) q^{67} +(75.9232 + 131.503i) q^{68} +(-420.848 - 97.6219i) q^{69} +(-989.826 + 274.556i) q^{70} +(-269.929 - 61.6094i) q^{71} +(-182.872 + 264.192i) q^{72} +(206.423 - 81.0151i) q^{73} +(1007.52 - 395.424i) q^{74} +(-606.419 - 93.5961i) q^{75} +(-81.0448 - 18.4979i) q^{76} +(-467.319 - 84.1802i) q^{77} +(37.7278 - 162.644i) q^{78} +(51.2430 + 88.7555i) q^{79} +(620.309 - 1074.41i) q^{80} +(-373.389 + 626.117i) q^{81} +(1735.59 - 130.065i) q^{82} +(-608.701 + 763.287i) q^{83} +(14.4023 - 447.711i) q^{84} +(317.118 + 397.654i) q^{85} +(1263.65 + 1361.89i) q^{86} +(254.318 - 814.251i) q^{87} +(252.095 - 171.876i) q^{88} +(-878.260 - 132.376i) q^{89} +(659.268 - 1344.59i) q^{90} +(-56.6346 - 157.407i) q^{91} +(-167.915 + 348.680i) q^{92} +(-273.401 + 156.562i) q^{93} +(903.504 - 973.746i) q^{94} +(-277.667 - 20.8083i) q^{95} +(661.418 + 717.911i) q^{96} +1135.94i q^{97} +(-628.539 - 1045.83i) q^{98} +(544.262 - 427.776i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} + O(q^{10}) \) \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} - 58 q^{10} - 207 q^{12} - 28 q^{13} - 148 q^{15} + 726 q^{16} - 81 q^{18} - 342 q^{19} - 371 q^{21} - 156 q^{22} - 428 q^{24} + 1250 q^{25} - 56 q^{27} + 700 q^{28} + 389 q^{30} + 888 q^{31} + 841 q^{33} - 532 q^{34} - 38 q^{36} + 1178 q^{37} - 180 q^{39} + 194 q^{40} + 56 q^{42} + 1296 q^{43} - 617 q^{45} - 6756 q^{46} - 2380 q^{49} + 787 q^{51} - 5204 q^{52} + 4144 q^{54} - 5698 q^{55} + 863 q^{57} - 3066 q^{58} + 2820 q^{60} + 1492 q^{61} - 1085 q^{63} + 7648 q^{64} + 2568 q^{66} + 142 q^{67} - 5474 q^{69} + 5180 q^{70} + 1278 q^{72} + 2876 q^{73} - 1754 q^{75} + 7644 q^{76} + 936 q^{78} - 992 q^{79} + 911 q^{81} + 1022 q^{82} + 7868 q^{84} + 2672 q^{85} - 196 q^{87} + 370 q^{88} - 18767 q^{90} - 2254 q^{91} - 11096 q^{93} - 3628 q^{94} - 24248 q^{96} + 10982 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.31144 + 1.29964i 1.17077 + 0.459494i 0.869446 0.494028i \(-0.164476\pi\)
0.301325 + 0.953521i \(0.402571\pi\)
\(3\) −2.61396 + 4.49079i −0.503058 + 0.864253i
\(4\) 3.41215 + 3.16601i 0.426519 + 0.395752i
\(5\) 12.8821 + 8.78287i 1.15221 + 0.785563i 0.979902 0.199480i \(-0.0639252\pi\)
0.172308 + 0.985043i \(0.444878\pi\)
\(6\) −14.4924 + 11.4738i −0.986084 + 0.780691i
\(7\) −5.96320 + 17.5340i −0.321982 + 0.946746i
\(8\) −5.16336 10.7218i −0.228190 0.473842i
\(9\) −13.3344 23.4775i −0.493866 0.869538i
\(10\) 31.2437 + 45.8261i 0.988013 + 1.44915i
\(11\) 3.82129 + 25.3526i 0.104742 + 0.694918i 0.978146 + 0.207921i \(0.0666698\pi\)
−0.873403 + 0.486997i \(0.838092\pi\)
\(12\) −23.1371 + 7.04741i −0.556593 + 0.169534i
\(13\) −7.06195 + 5.63172i −0.150664 + 0.120151i −0.695921 0.718118i \(-0.745004\pi\)
0.545257 + 0.838269i \(0.316432\pi\)
\(14\) −42.5347 + 50.3127i −0.811991 + 0.960474i
\(15\) −73.1154 + 34.8927i −1.25855 + 0.600617i
\(16\) −5.94637 79.3488i −0.0929121 1.23983i
\(17\) 31.1727 + 9.61551i 0.444735 + 0.137183i 0.509031 0.860748i \(-0.330004\pi\)
−0.0642957 + 0.997931i \(0.520480\pi\)
\(18\) −13.6436 95.0744i −0.178657 1.24496i
\(19\) −15.4664 + 8.92954i −0.186749 + 0.107820i −0.590460 0.807067i \(-0.701054\pi\)
0.403711 + 0.914887i \(0.367720\pi\)
\(20\) 16.1490 + 70.7534i 0.180551 + 0.791047i
\(21\) −63.1538 72.6126i −0.656252 0.754542i
\(22\) −20.2954 + 88.9200i −0.196682 + 0.861719i
\(23\) 24.5067 + 79.4488i 0.222174 + 0.720270i 0.996198 + 0.0871145i \(0.0277646\pi\)
−0.774024 + 0.633156i \(0.781759\pi\)
\(24\) 61.6463 + 4.83891i 0.524312 + 0.0411557i
\(25\) 43.1421 + 109.924i 0.345137 + 0.879395i
\(26\) −30.7045 + 9.47108i −0.231602 + 0.0714397i
\(27\) 140.288 + 1.48752i 0.999944 + 0.0106027i
\(28\) −75.8601 + 40.9490i −0.512008 + 0.276380i
\(29\) −160.052 + 36.5308i −1.02486 + 0.233918i −0.701734 0.712439i \(-0.747591\pi\)
−0.323125 + 0.946356i \(0.604734\pi\)
\(30\) −287.465 + 20.5211i −1.74946 + 0.124888i
\(31\) 52.5092 + 30.3162i 0.304224 + 0.175644i 0.644339 0.764740i \(-0.277133\pi\)
−0.340115 + 0.940384i \(0.610466\pi\)
\(32\) 55.3728 179.514i 0.305894 0.991685i
\(33\) −123.842 49.1102i −0.653277 0.259060i
\(34\) 90.7299 + 72.3547i 0.457649 + 0.364963i
\(35\) −230.817 + 173.500i −1.11472 + 0.837912i
\(36\) 28.8313 122.326i 0.133478 0.566323i
\(37\) 223.035 206.946i 0.990992 0.919506i −0.00576490 0.999983i \(-0.501835\pi\)
0.996756 + 0.0804776i \(0.0256446\pi\)
\(38\) −62.8213 + 9.46879i −0.268183 + 0.0404221i
\(39\) −6.83118 46.4349i −0.0280478 0.190655i
\(40\) 27.6534 183.469i 0.109310 0.725223i
\(41\) 440.806 212.281i 1.67908 0.808603i 0.682075 0.731282i \(-0.261078\pi\)
0.997006 0.0773207i \(-0.0246365\pi\)
\(42\) −114.759 322.530i −0.421614 1.18494i
\(43\) 470.532 + 226.596i 1.66873 + 0.803619i 0.998086 + 0.0618428i \(0.0196977\pi\)
0.670647 + 0.741777i \(0.266017\pi\)
\(44\) −67.2279 + 98.6053i −0.230341 + 0.337848i
\(45\) 34.4252 419.554i 0.114040 1.38985i
\(46\) −22.1027 + 294.940i −0.0708449 + 0.945360i
\(47\) 136.422 347.596i 0.423386 1.07877i −0.546984 0.837143i \(-0.684224\pi\)
0.970369 0.241626i \(-0.0776807\pi\)
\(48\) 371.883 + 180.711i 1.11826 + 0.543404i
\(49\) −271.881 209.117i −0.792655 0.609671i
\(50\) 420.077i 1.18816i
\(51\) −124.666 + 114.856i −0.342288 + 0.315353i
\(52\) −41.9266 3.14196i −0.111811 0.00837907i
\(53\) −70.1006 + 75.5505i −0.181680 + 0.195805i −0.817325 0.576177i \(-0.804544\pi\)
0.635645 + 0.771982i \(0.280734\pi\)
\(54\) 462.623 + 187.251i 1.16583 + 0.471881i
\(55\) −173.442 + 360.157i −0.425218 + 0.882974i
\(56\) 218.786 26.5978i 0.522081 0.0634694i
\(57\) 0.327977 92.7979i 0.000762133 0.215638i
\(58\) −577.480 87.0411i −1.30736 0.197053i
\(59\) 394.513 268.975i 0.870530 0.593517i −0.0435501 0.999051i \(-0.513867\pi\)
0.914080 + 0.405534i \(0.132914\pi\)
\(60\) −359.951 112.425i −0.774492 0.241900i
\(61\) 86.5485 + 93.2771i 0.181662 + 0.195785i 0.817317 0.576188i \(-0.195460\pi\)
−0.635655 + 0.771973i \(0.719270\pi\)
\(62\) 134.481 + 168.634i 0.275469 + 0.345427i
\(63\) 491.170 93.8036i 0.982247 0.187590i
\(64\) 19.7732 24.7949i 0.0386196 0.0484275i
\(65\) −140.435 + 10.5242i −0.267983 + 0.0200825i
\(66\) −346.270 323.576i −0.645801 0.603477i
\(67\) −216.777 + 375.469i −0.395277 + 0.684640i −0.993136 0.116961i \(-0.962685\pi\)
0.597860 + 0.801601i \(0.296018\pi\)
\(68\) 75.9232 + 131.503i 0.135398 + 0.234516i
\(69\) −420.848 97.6219i −0.734262 0.170323i
\(70\) −989.826 + 274.556i −1.69010 + 0.468797i
\(71\) −269.929 61.6094i −0.451192 0.102982i −0.00911444 0.999958i \(-0.502901\pi\)
−0.442078 + 0.896977i \(0.645758\pi\)
\(72\) −182.872 + 264.192i −0.299328 + 0.432434i
\(73\) 206.423 81.0151i 0.330959 0.129892i −0.194043 0.980993i \(-0.562160\pi\)
0.525001 + 0.851101i \(0.324065\pi\)
\(74\) 1007.52 395.424i 1.58273 0.621176i
\(75\) −606.419 93.5961i −0.933643 0.144101i
\(76\) −81.0448 18.4979i −0.122322 0.0279192i
\(77\) −467.319 84.1802i −0.691636 0.124587i
\(78\) 37.7278 162.644i 0.0547671 0.236101i
\(79\) 51.2430 + 88.7555i 0.0729783 + 0.126402i 0.900205 0.435466i \(-0.143416\pi\)
−0.827227 + 0.561868i \(0.810083\pi\)
\(80\) 620.309 1074.41i 0.866908 1.50153i
\(81\) −373.389 + 626.117i −0.512193 + 0.858871i
\(82\) 1735.59 130.065i 2.33737 0.175162i
\(83\) −608.701 + 763.287i −0.804983 + 1.00942i 0.194610 + 0.980881i \(0.437656\pi\)
−0.999593 + 0.0285361i \(0.990915\pi\)
\(84\) 14.4023 447.711i 0.0187073 0.581539i
\(85\) 317.118 + 397.654i 0.404663 + 0.507431i
\(86\) 1263.65 + 1361.89i 1.58445 + 1.70763i
\(87\) 254.318 814.251i 0.313400 1.00341i
\(88\) 252.095 171.876i 0.305380 0.208205i
\(89\) −878.260 132.376i −1.04602 0.157661i −0.396519 0.918026i \(-0.629782\pi\)
−0.649496 + 0.760365i \(0.725020\pi\)
\(90\) 659.268 1344.59i 0.772144 1.57480i
\(91\) −56.6346 157.407i −0.0652409 0.181327i
\(92\) −167.915 + 348.680i −0.190287 + 0.395135i
\(93\) −273.401 + 156.562i −0.304842 + 0.174567i
\(94\) 903.504 973.746i 0.991376 1.06845i
\(95\) −277.667 20.8083i −0.299874 0.0224724i
\(96\) 661.418 + 717.911i 0.703184 + 0.763245i
\(97\) 1135.94i 1.18905i 0.804078 + 0.594524i \(0.202659\pi\)
−0.804078 + 0.594524i \(0.797341\pi\)
\(98\) −628.539 1045.83i −0.647878 1.07801i
\(99\) 544.262 427.776i 0.552529 0.434274i
\(100\) −200.815 + 511.667i −0.200815 + 0.511667i
\(101\) 129.808 1732.17i 0.127885 1.70651i −0.452173 0.891930i \(-0.649351\pi\)
0.580058 0.814575i \(-0.303030\pi\)
\(102\) −562.094 + 218.316i −0.545644 + 0.211927i
\(103\) 287.574 421.793i 0.275102 0.403500i −0.663678 0.748019i \(-0.731005\pi\)
0.938780 + 0.344518i \(0.111958\pi\)
\(104\) 96.8457 + 46.6384i 0.0913125 + 0.0439738i
\(105\) −175.807 1490.07i −0.163400 1.38492i
\(106\) −330.323 + 159.075i −0.302677 + 0.145762i
\(107\) 198.452 1316.64i 0.179300 1.18958i −0.700295 0.713854i \(-0.746948\pi\)
0.879595 0.475723i \(-0.157814\pi\)
\(108\) 473.975 + 449.230i 0.422299 + 0.400252i
\(109\) −2205.57 + 332.436i −1.93812 + 0.292125i −0.998715 0.0506769i \(-0.983862\pi\)
−0.939408 + 0.342802i \(0.888624\pi\)
\(110\) −1042.42 + 967.225i −0.903554 + 0.838375i
\(111\) 346.346 + 1542.55i 0.296160 + 1.31903i
\(112\) 1426.76 + 368.909i 1.20372 + 0.311238i
\(113\) −1601.30 1276.99i −1.33307 1.06309i −0.992419 0.122904i \(-0.960779\pi\)
−0.340656 0.940188i \(-0.610649\pi\)
\(114\) 121.690 306.869i 0.0999768 0.252113i
\(115\) −382.090 + 1238.71i −0.309827 + 1.00443i
\(116\) −661.779 382.078i −0.529695 0.305820i
\(117\) 226.386 + 90.7017i 0.178883 + 0.0716699i
\(118\) 1655.98 377.966i 1.29191 0.294870i
\(119\) −354.487 + 489.243i −0.273074 + 0.376881i
\(120\) 751.634 + 603.766i 0.571787 + 0.459300i
\(121\) 643.714 198.560i 0.483632 0.149181i
\(122\) 165.373 + 421.364i 0.122723 + 0.312693i
\(123\) −198.942 + 2534.46i −0.145837 + 1.85792i
\(124\) 83.1879 + 269.688i 0.0602459 + 0.195312i
\(125\) 23.9830 105.076i 0.0171608 0.0751865i
\(126\) 1748.39 + 327.721i 1.23618 + 0.231712i
\(127\) −118.663 519.899i −0.0829109 0.363256i 0.916404 0.400253i \(-0.131078\pi\)
−0.999315 + 0.0369971i \(0.988221\pi\)
\(128\) −1203.83 + 695.033i −0.831287 + 0.479944i
\(129\) −2247.55 + 1520.75i −1.53400 + 1.03794i
\(130\) −478.721 147.666i −0.322974 0.0996244i
\(131\) 142.558 + 1902.31i 0.0950793 + 1.26875i 0.816946 + 0.576713i \(0.195665\pi\)
−0.721867 + 0.692032i \(0.756716\pi\)
\(132\) −267.084 559.657i −0.176111 0.369030i
\(133\) −64.3410 324.436i −0.0419479 0.211520i
\(134\) −1205.82 + 961.611i −0.777367 + 0.619929i
\(135\) 1794.14 + 1251.30i 1.14382 + 0.797736i
\(136\) −57.8601 383.877i −0.0364813 0.242038i
\(137\) −990.739 1453.15i −0.617844 0.906210i 0.381995 0.924164i \(-0.375237\pi\)
−0.999839 + 0.0179543i \(0.994285\pi\)
\(138\) −1266.74 870.221i −0.781391 0.536798i
\(139\) −477.118 990.745i −0.291141 0.604561i 0.703177 0.711015i \(-0.251764\pi\)
−0.994318 + 0.106455i \(0.966050\pi\)
\(140\) −1336.89 138.760i −0.807055 0.0837669i
\(141\) 1204.38 + 1521.25i 0.719342 + 0.908595i
\(142\) −813.782 554.827i −0.480923 0.327888i
\(143\) −169.765 157.519i −0.0992758 0.0921145i
\(144\) −1783.62 + 1197.67i −1.03219 + 0.693098i
\(145\) −2382.65 935.122i −1.36461 0.535570i
\(146\) 788.849 0.447161
\(147\) 1649.79 674.334i 0.925661 0.378355i
\(148\) 1416.22 0.786573
\(149\) 1785.85 + 700.894i 0.981895 + 0.385365i 0.801346 0.598201i \(-0.204117\pi\)
0.180549 + 0.983566i \(0.442213\pi\)
\(150\) −1886.48 1098.07i −1.02687 0.597712i
\(151\) −556.258 516.132i −0.299786 0.278161i 0.515909 0.856644i \(-0.327454\pi\)
−0.815694 + 0.578483i \(0.803645\pi\)
\(152\) 175.599 + 119.722i 0.0937039 + 0.0638863i
\(153\) −189.921 860.076i −0.100354 0.454464i
\(154\) −1438.10 886.107i −0.752501 0.463666i
\(155\) 410.166 + 851.718i 0.212550 + 0.441365i
\(156\) 123.704 180.070i 0.0634890 0.0924178i
\(157\) 2001.17 + 2935.17i 1.01726 + 1.49205i 0.863759 + 0.503904i \(0.168104\pi\)
0.153505 + 0.988148i \(0.450944\pi\)
\(158\) 54.3376 + 360.506i 0.0273599 + 0.181521i
\(159\) −156.041 512.293i −0.0778292 0.255519i
\(160\) 2289.97 1826.19i 1.13149 0.902330i
\(161\) −1539.19 44.0687i −0.753449 0.0215720i
\(162\) −2050.18 + 1588.08i −0.994306 + 0.770192i
\(163\) −28.2869 377.462i −0.0135926 0.181381i −0.999868 0.0162702i \(-0.994821\pi\)
0.986275 0.165111i \(-0.0527982\pi\)
\(164\) 2176.18 + 671.263i 1.03617 + 0.319615i
\(165\) −1164.02 1720.33i −0.549203 0.811682i
\(166\) −3007.68 + 1736.48i −1.40627 + 0.811912i
\(167\) 369.781 + 1620.12i 0.171345 + 0.750710i 0.985446 + 0.169987i \(0.0543727\pi\)
−0.814102 + 0.580722i \(0.802770\pi\)
\(168\) −452.454 + 1052.05i −0.207783 + 0.483139i
\(169\) −470.724 + 2062.37i −0.214257 + 0.938723i
\(170\) 533.310 + 1728.95i 0.240606 + 0.780026i
\(171\) 415.878 + 244.043i 0.185983 + 0.109137i
\(172\) 888.120 + 2262.89i 0.393712 + 1.00316i
\(173\) 1771.27 546.365i 0.778423 0.240112i 0.120014 0.992772i \(-0.461706\pi\)
0.658409 + 0.752660i \(0.271230\pi\)
\(174\) 1900.40 2365.82i 0.827981 1.03076i
\(175\) −2184.68 + 100.953i −0.943691 + 0.0436074i
\(176\) 1988.98 453.971i 0.851846 0.194428i
\(177\) 176.665 + 2474.77i 0.0750222 + 1.05093i
\(178\) −2736.26 1579.78i −1.15220 0.665223i
\(179\) −360.053 + 1167.26i −0.150344 + 0.487404i −0.999147 0.0413065i \(-0.986848\pi\)
0.848802 + 0.528710i \(0.177324\pi\)
\(180\) 1445.78 1322.59i 0.598677 0.547667i
\(181\) 353.825 + 282.166i 0.145302 + 0.115874i 0.693443 0.720512i \(-0.256093\pi\)
−0.548141 + 0.836386i \(0.684664\pi\)
\(182\) 17.0312 594.850i 0.00693645 0.242270i
\(183\) −645.123 + 144.848i −0.260595 + 0.0585108i
\(184\) 725.299 672.979i 0.290596 0.269634i
\(185\) 4690.74 707.015i 1.86416 0.280977i
\(186\) −1108.83 + 163.123i −0.437113 + 0.0643051i
\(187\) −124.658 + 827.054i −0.0487482 + 0.323423i
\(188\) 1565.99 754.139i 0.607507 0.292560i
\(189\) −862.648 + 2450.94i −0.332002 + 0.943279i
\(190\) −892.434 429.774i −0.340758 0.164100i
\(191\) 2159.04 3166.73i 0.817921 1.19967i −0.159255 0.987237i \(-0.550909\pi\)
0.977176 0.212432i \(-0.0681384\pi\)
\(192\) 59.6620 + 153.610i 0.0224257 + 0.0577389i
\(193\) 285.355 3807.80i 0.106427 1.42016i −0.646929 0.762551i \(-0.723947\pi\)
0.753355 0.657614i \(-0.228434\pi\)
\(194\) −1476.32 + 3761.61i −0.546360 + 1.39210i
\(195\) 319.831 658.176i 0.117454 0.241707i
\(196\) −265.630 1574.32i −0.0968041 0.573731i
\(197\) 1916.86i 0.693253i −0.938003 0.346627i \(-0.887327\pi\)
0.938003 0.346627i \(-0.112673\pi\)
\(198\) 2358.25 709.208i 0.846432 0.254551i
\(199\) −4523.54 338.992i −1.61138 0.120756i −0.761656 0.647981i \(-0.775614\pi\)
−0.849726 + 0.527225i \(0.823233\pi\)
\(200\) 955.830 1030.14i 0.337937 0.364210i
\(201\) −1119.51 1954.96i −0.392855 0.686032i
\(202\) 2681.05 5567.26i 0.933853 1.93917i
\(203\) 313.891 3024.19i 0.108526 1.04560i
\(204\) −789.013 2.78862i −0.270794 0.000957070i
\(205\) 7542.94 + 1136.92i 2.56986 + 0.387345i
\(206\) 1500.47 1023.00i 0.507487 0.345999i
\(207\) 1538.48 1634.76i 0.516578 0.548906i
\(208\) 488.864 + 526.870i 0.162964 + 0.175634i
\(209\) −285.489 357.992i −0.0944865 0.118482i
\(210\) 1354.40 5162.78i 0.445058 1.69650i
\(211\) 574.488 720.385i 0.187438 0.235040i −0.679230 0.733926i \(-0.737686\pi\)
0.866668 + 0.498886i \(0.166257\pi\)
\(212\) −478.388 + 35.8502i −0.154980 + 0.0116142i
\(213\) 982.259 1051.15i 0.315978 0.338138i
\(214\) 2368.33 4102.07i 0.756523 1.31034i
\(215\) 4071.28 + 7051.66i 1.29144 + 2.23683i
\(216\) −708.409 1511.83i −0.223153 0.476235i
\(217\) −844.686 + 739.914i −0.264244 + 0.231468i
\(218\) −7735.67 1765.62i −2.40333 0.548544i
\(219\) −175.761 + 1138.77i −0.0542320 + 0.351375i
\(220\) −1732.07 + 679.789i −0.530802 + 0.208324i
\(221\) −274.292 + 107.652i −0.0834882 + 0.0327667i
\(222\) −857.865 + 5558.20i −0.259352 + 1.68037i
\(223\) −4957.27 1131.46i −1.48863 0.339769i −0.600595 0.799554i \(-0.705069\pi\)
−0.888030 + 0.459785i \(0.847927\pi\)
\(224\) 2817.40 + 2041.38i 0.840381 + 0.608909i
\(225\) 2005.48 2478.64i 0.594216 0.734413i
\(226\) −3642.97 6309.81i −1.07224 1.85718i
\(227\) −528.115 + 914.722i −0.154415 + 0.267455i −0.932846 0.360276i \(-0.882683\pi\)
0.778431 + 0.627730i \(0.216016\pi\)
\(228\) 294.919 315.602i 0.0856643 0.0916722i
\(229\) 2527.61 189.419i 0.729386 0.0546599i 0.295140 0.955454i \(-0.404634\pi\)
0.434246 + 0.900794i \(0.357015\pi\)
\(230\) −2875.15 + 3605.32i −0.824268 + 1.03360i
\(231\) 1599.59 1878.59i 0.455608 0.535074i
\(232\) 1218.08 + 1527.43i 0.344703 + 0.432244i
\(233\) −3427.91 3694.41i −0.963818 1.03875i −0.999224 0.0393761i \(-0.987463\pi\)
0.0354062 0.999373i \(-0.488728\pi\)
\(234\) 631.783 + 594.574i 0.176500 + 0.166105i
\(235\) 4810.29 3279.60i 1.33527 0.910372i
\(236\) 2197.72 + 331.253i 0.606183 + 0.0913674i
\(237\) −532.530 1.88213i −0.145956 0.000515853i
\(238\) −1809.71 + 1159.39i −0.492881 + 0.315765i
\(239\) −801.711 + 1664.77i −0.216981 + 0.450565i −0.980839 0.194819i \(-0.937588\pi\)
0.763859 + 0.645383i \(0.223302\pi\)
\(240\) 3203.47 + 5594.13i 0.861595 + 1.50458i
\(241\) 2166.77 2335.22i 0.579144 0.624169i −0.373729 0.927538i \(-0.621921\pi\)
0.952873 + 0.303369i \(0.0981116\pi\)
\(242\) 2389.68 + 179.082i 0.634770 + 0.0475694i
\(243\) −1835.73 3313.46i −0.484619 0.874725i
\(244\) 592.290i 0.155399i
\(245\) −1665.75 5081.76i −0.434370 1.32515i
\(246\) −3952.69 + 8134.17i −1.02445 + 2.10819i
\(247\) 58.9344 150.162i 0.0151818 0.0386826i
\(248\) 53.9211 719.527i 0.0138064 0.184234i
\(249\) −1836.64 4728.75i −0.467438 1.20350i
\(250\) 215.980 316.785i 0.0546391 0.0801409i
\(251\) 1533.10 + 738.304i 0.385532 + 0.185663i 0.616603 0.787274i \(-0.288508\pi\)
−0.231070 + 0.972937i \(0.574223\pi\)
\(252\) 1972.93 + 1234.98i 0.493186 + 0.308716i
\(253\) −1920.59 + 924.907i −0.477258 + 0.229835i
\(254\) 282.737 1875.83i 0.0698444 0.463387i
\(255\) −2614.72 + 384.659i −0.642117 + 0.0944638i
\(256\) −5140.59 + 774.820i −1.25503 + 0.189165i
\(257\) 1466.37 1360.59i 0.355912 0.330238i −0.481870 0.876243i \(-0.660042\pi\)
0.837782 + 0.546004i \(0.183852\pi\)
\(258\) −9419.07 + 2114.84i −2.27289 + 0.510327i
\(259\) 2298.59 + 5144.75i 0.551456 + 1.23428i
\(260\) −512.507 408.711i −0.122247 0.0974890i
\(261\) 2991.85 + 3270.51i 0.709543 + 0.775630i
\(262\) −2000.25 + 6484.66i −0.471665 + 1.52910i
\(263\) 167.161 + 96.5103i 0.0391923 + 0.0226277i 0.519468 0.854490i \(-0.326130\pi\)
−0.480276 + 0.877118i \(0.659463\pi\)
\(264\) 112.889 + 1581.39i 0.0263177 + 0.368665i
\(265\) −1566.59 + 357.564i −0.363151 + 0.0828868i
\(266\) 208.590 1157.97i 0.0480808 0.266917i
\(267\) 2890.21 3598.05i 0.662465 0.824709i
\(268\) −1928.42 + 594.838i −0.439540 + 0.135580i
\(269\) 292.071 + 744.185i 0.0662003 + 0.168676i 0.960146 0.279501i \(-0.0901689\pi\)
−0.893945 + 0.448176i \(0.852074\pi\)
\(270\) 4314.96 + 6475.34i 0.972592 + 1.45954i
\(271\) 2330.04 + 7553.80i 0.522287 + 1.69321i 0.704288 + 0.709914i \(0.251266\pi\)
−0.182001 + 0.983298i \(0.558257\pi\)
\(272\) 577.615 2530.70i 0.128761 0.564140i
\(273\) 854.923 + 157.123i 0.189532 + 0.0348333i
\(274\) −1392.20 6099.62i −0.306956 1.34486i
\(275\) −2622.01 + 1513.82i −0.574957 + 0.331952i
\(276\) −1126.92 1665.51i −0.245771 0.363232i
\(277\) 1442.62 + 444.989i 0.312919 + 0.0965227i 0.447237 0.894416i \(-0.352408\pi\)
−0.134318 + 0.990938i \(0.542884\pi\)
\(278\) −292.330 3900.88i −0.0630677 0.841580i
\(279\) 11.5717 1637.03i 0.00248309 0.351278i
\(280\) 3052.03 + 1578.93i 0.651406 + 0.336998i
\(281\) −5493.54 + 4380.95i −1.16625 + 0.930056i −0.998444 0.0557637i \(-0.982241\pi\)
−0.167809 + 0.985820i \(0.553669\pi\)
\(282\) 2011.16 + 6602.78i 0.424691 + 1.39429i
\(283\) −454.258 3013.81i −0.0954164 0.633046i −0.984511 0.175323i \(-0.943903\pi\)
0.889095 0.457724i \(-0.151335\pi\)
\(284\) −725.981 1064.82i −0.151687 0.222484i
\(285\) 819.257 1192.55i 0.170276 0.247862i
\(286\) −357.448 742.247i −0.0739032 0.153462i
\(287\) 1093.52 + 8994.95i 0.224907 + 1.85002i
\(288\) −4952.91 + 1093.69i −1.01338 + 0.223773i
\(289\) −3180.03 2168.11i −0.647268 0.441300i
\(290\) −6674.69 6193.20i −1.35156 1.25406i
\(291\) −5101.28 2969.32i −1.02764 0.598159i
\(292\) 960.842 + 377.103i 0.192565 + 0.0755762i
\(293\) 6854.76 1.36675 0.683377 0.730065i \(-0.260510\pi\)
0.683377 + 0.730065i \(0.260510\pi\)
\(294\) 6339.57 88.8805i 1.25759 0.0176314i
\(295\) 7444.53 1.46928
\(296\) −3370.44 1322.80i −0.661835 0.259751i
\(297\) 498.370 + 3562.36i 0.0973682 + 0.695990i
\(298\) 5002.82 + 4641.94i 0.972501 + 0.902349i
\(299\) −620.499 423.049i −0.120015 0.0818246i
\(300\) −1772.87 2239.30i −0.341188 0.430953i
\(301\) −6779.01 + 6899.06i −1.29813 + 1.32111i
\(302\) −1171.23 2432.08i −0.223168 0.463412i
\(303\) 7439.48 + 5110.76i 1.41052 + 0.968996i
\(304\) 800.518 + 1174.14i 0.151029 + 0.221519i
\(305\) 295.686 + 1961.75i 0.0555113 + 0.368293i
\(306\) 488.882 3094.92i 0.0913318 0.578185i
\(307\) 2928.92 2335.74i 0.544503 0.434227i −0.312215 0.950011i \(-0.601071\pi\)
0.856718 + 0.515785i \(0.172500\pi\)
\(308\) −1328.05 1766.78i −0.245690 0.326855i
\(309\) 1142.48 + 2393.99i 0.210334 + 0.440742i
\(310\) 251.309 + 3353.48i 0.0460432 + 0.614403i
\(311\) −3290.72 1015.05i −0.599999 0.185075i −0.0201470 0.999797i \(-0.506413\pi\)
−0.579852 + 0.814722i \(0.696890\pi\)
\(312\) −462.594 + 313.002i −0.0839399 + 0.0567957i
\(313\) −2047.45 + 1182.09i −0.369740 + 0.213469i −0.673345 0.739329i \(-0.735143\pi\)
0.303605 + 0.952798i \(0.401810\pi\)
\(314\) 2812.06 + 12320.5i 0.505395 + 2.21428i
\(315\) 7151.16 + 3105.49i 1.27912 + 0.555475i
\(316\) −106.152 + 465.083i −0.0188972 + 0.0827942i
\(317\) −3068.62 9948.22i −0.543694 1.76261i −0.641197 0.767376i \(-0.721562\pi\)
0.0975031 0.995235i \(-0.468914\pi\)
\(318\) 149.079 1899.23i 0.0262892 0.334916i
\(319\) −1537.76 3918.15i −0.269900 0.687693i
\(320\) 472.491 145.744i 0.0825408 0.0254605i
\(321\) 5394.02 + 4332.87i 0.937897 + 0.753386i
\(322\) −5039.67 2146.33i −0.872204 0.371461i
\(323\) −567.992 + 129.641i −0.0978450 + 0.0223325i
\(324\) −3256.35 + 954.252i −0.558360 + 0.163623i
\(325\) −923.731 533.316i −0.157660 0.0910248i
\(326\) 396.897 1286.71i 0.0674297 0.218602i
\(327\) 4272.38 10773.7i 0.722518 1.82198i
\(328\) −4552.08 3630.16i −0.766300 0.611104i
\(329\) 5281.24 + 4464.80i 0.884997 + 0.748183i
\(330\) −1618.75 7209.58i −0.270029 1.20265i
\(331\) −4827.73 + 4479.48i −0.801679 + 0.743850i −0.970319 0.241828i \(-0.922253\pi\)
0.168640 + 0.985678i \(0.446063\pi\)
\(332\) −4493.56 + 677.295i −0.742819 + 0.111962i
\(333\) −7832.61 2476.81i −1.28896 0.407592i
\(334\) −881.069 + 5845.51i −0.144341 + 0.957641i
\(335\) −6090.24 + 2932.91i −0.993270 + 0.478334i
\(336\) −5386.19 + 5442.96i −0.874527 + 0.883744i
\(337\) −712.333 343.041i −0.115143 0.0554500i 0.375425 0.926853i \(-0.377497\pi\)
−0.490569 + 0.871403i \(0.663211\pi\)
\(338\) −4239.13 + 6217.66i −0.682184 + 1.00058i
\(339\) 9920.44 3853.08i 1.58939 0.617317i
\(340\) −176.922 + 2360.86i −0.0282204 + 0.376575i
\(341\) −567.942 + 1447.09i −0.0901930 + 0.229808i
\(342\) 1059.99 + 1348.63i 0.167595 + 0.213233i
\(343\) 5287.93 3520.14i 0.832424 0.554139i
\(344\) 6214.96i 0.974094i
\(345\) −4564.00 4953.82i −0.712225 0.773057i
\(346\) 6575.54 + 492.769i 1.02169 + 0.0765647i
\(347\) −1760.18 + 1897.02i −0.272310 + 0.293480i −0.854370 0.519666i \(-0.826056\pi\)
0.582060 + 0.813146i \(0.302247\pi\)
\(348\) 3445.70 1973.17i 0.530773 0.303946i
\(349\) −1416.45 + 2941.28i −0.217251 + 0.451126i −0.980902 0.194503i \(-0.937691\pi\)
0.763651 + 0.645629i \(0.223405\pi\)
\(350\) −7365.63 2505.00i −1.12488 0.382566i
\(351\) −999.086 + 779.559i −0.151930 + 0.118546i
\(352\) 4762.75 + 717.869i 0.721181 + 0.108700i
\(353\) 789.607 538.345i 0.119055 0.0811706i −0.502328 0.864677i \(-0.667523\pi\)
0.621384 + 0.783506i \(0.286571\pi\)
\(354\) −2631.30 + 8424.65i −0.395063 + 1.26487i
\(355\) −2936.14 3164.41i −0.438969 0.473096i
\(356\) −2577.65 3232.27i −0.383751 0.481208i
\(357\) −1270.47 2870.79i −0.188348 0.425598i
\(358\) −2709.32 + 3397.38i −0.399978 + 0.501556i
\(359\) 9316.08 698.144i 1.36959 0.102637i 0.630473 0.776211i \(-0.282861\pi\)
0.739120 + 0.673574i \(0.235242\pi\)
\(360\) −4676.13 + 1797.21i −0.684594 + 0.263114i
\(361\) −3270.03 + 5663.85i −0.476750 + 0.825755i
\(362\) 804.955 + 1394.22i 0.116872 + 0.202427i
\(363\) −790.957 + 3409.81i −0.114365 + 0.493027i
\(364\) 305.107 716.403i 0.0439340 0.103159i
\(365\) 3370.71 + 769.342i 0.483372 + 0.110327i
\(366\) −2324.54 358.774i −0.331982 0.0512389i
\(367\) 12173.9 4777.89i 1.73153 0.679574i 0.731529 0.681810i \(-0.238807\pi\)
0.999997 + 0.00223627i \(0.000711827\pi\)
\(368\) 6158.44 2417.01i 0.872367 0.342379i
\(369\) −10861.7 7518.40i −1.53235 1.06068i
\(370\) 16452.0 + 3755.05i 2.31161 + 0.527611i
\(371\) −906.676 1679.66i −0.126879 0.235051i
\(372\) −1428.56 331.377i −0.199106 0.0461857i
\(373\) −6280.75 10878.6i −0.871863 1.51011i −0.860067 0.510180i \(-0.829579\pi\)
−0.0117956 0.999930i \(-0.503755\pi\)
\(374\) −1487.68 + 2576.73i −0.205684 + 0.356255i
\(375\) 409.185 + 382.368i 0.0563472 + 0.0526544i
\(376\) −4431.26 + 332.077i −0.607779 + 0.0455467i
\(377\) 924.549 1159.35i 0.126304 0.158381i
\(378\) −6041.96 + 6995.01i −0.822129 + 0.951811i
\(379\) 5796.84 + 7269.01i 0.785657 + 0.985182i 0.999965 + 0.00841599i \(0.00267892\pi\)
−0.214308 + 0.976766i \(0.568750\pi\)
\(380\) −881.562 950.098i −0.119008 0.128261i
\(381\) 2644.94 + 826.104i 0.355654 + 0.111083i
\(382\) 11265.2 7680.47i 1.50884 1.02871i
\(383\) 2256.72 + 340.145i 0.301078 + 0.0453802i 0.297844 0.954615i \(-0.403732\pi\)
0.00323402 + 0.999995i \(0.498971\pi\)
\(384\) 25.5282 7222.95i 0.00339252 0.959882i
\(385\) −5280.71 5188.82i −0.699039 0.686875i
\(386\) 5893.73 12238.5i 0.777158 1.61379i
\(387\) −954.334 14068.5i −0.125353 1.84791i
\(388\) −3596.41 + 3876.01i −0.470568 + 0.507151i
\(389\) −8845.79 662.901i −1.15296 0.0864020i −0.515500 0.856890i \(-0.672394\pi\)
−0.637455 + 0.770488i \(0.720013\pi\)
\(390\) 1914.50 1763.84i 0.248575 0.229015i
\(391\) 2712.28i 0.350808i
\(392\) −838.299 + 3994.80i −0.108011 + 0.514714i
\(393\) −8915.52 4332.37i −1.14435 0.556079i
\(394\) 2491.24 6347.58i 0.318546 0.811641i
\(395\) −119.410 + 1593.42i −0.0152106 + 0.202971i
\(396\) 3211.45 + 263.505i 0.407529 + 0.0334385i
\(397\) −2174.13 + 3188.86i −0.274852 + 0.403134i −0.938701 0.344733i \(-0.887969\pi\)
0.663849 + 0.747867i \(0.268922\pi\)
\(398\) −14538.9 7001.55i −1.83107 0.881798i
\(399\) 1625.16 + 559.123i 0.203909 + 0.0701533i
\(400\) 8465.83 4076.93i 1.05823 0.509616i
\(401\) 1837.34 12190.0i 0.228809 1.51805i −0.519369 0.854550i \(-0.673833\pi\)
0.748178 0.663499i \(-0.230929\pi\)
\(402\) −1166.42 7928.71i −0.144715 0.983701i
\(403\) −541.550 + 81.6255i −0.0669393 + 0.0100895i
\(404\) 5926.99 5499.44i 0.729898 0.677246i
\(405\) −10309.1 + 4786.27i −1.26485 + 0.587239i
\(406\) 4969.80 9606.48i 0.607506 1.17429i
\(407\) 6098.91 + 4863.71i 0.742780 + 0.592347i
\(408\) 1875.15 + 743.602i 0.227534 + 0.0902299i
\(409\) 535.560 1736.24i 0.0647475 0.209906i −0.917418 0.397925i \(-0.869730\pi\)
0.982165 + 0.188019i \(0.0602066\pi\)
\(410\) 23500.4 + 13568.0i 2.83074 + 1.63433i
\(411\) 9115.54 650.726i 1.09401 0.0780971i
\(412\) 2316.65 528.760i 0.277022 0.0632285i
\(413\) 2363.63 + 8521.34i 0.281615 + 1.01527i
\(414\) 7219.19 3413.93i 0.857014 0.405279i
\(415\) −14545.2 + 4486.60i −1.72047 + 0.530695i
\(416\) 619.934 + 1579.57i 0.0730643 + 0.186165i
\(417\) 5696.40 + 447.137i 0.668954 + 0.0525094i
\(418\) −480.118 1556.50i −0.0561802 0.182132i
\(419\) −1054.78 + 4621.29i −0.122982 + 0.538819i 0.875474 + 0.483265i \(0.160549\pi\)
−0.998456 + 0.0555532i \(0.982308\pi\)
\(420\) 4117.72 5640.97i 0.478391 0.655360i
\(421\) 2652.83 + 11622.8i 0.307104 + 1.34551i 0.859161 + 0.511705i \(0.170986\pi\)
−0.552057 + 0.833806i \(0.686157\pi\)
\(422\) 2838.63 1638.88i 0.327446 0.189051i
\(423\) −9979.80 + 1432.14i −1.14713 + 0.164617i
\(424\) 1171.99 + 361.512i 0.134238 + 0.0414070i
\(425\) 287.879 + 3841.47i 0.0328569 + 0.438444i
\(426\) 4618.81 2204.23i 0.525310 0.250693i
\(427\) −2151.62 + 961.310i −0.243851 + 0.108949i
\(428\) 4845.66 3864.29i 0.547252 0.436419i
\(429\) 1151.14 350.629i 0.129552 0.0394605i
\(430\) 4317.14 + 28642.4i 0.484166 + 3.21223i
\(431\) 1315.93 + 1930.12i 0.147068 + 0.215709i 0.892703 0.450646i \(-0.148806\pi\)
−0.745635 + 0.666354i \(0.767854\pi\)
\(432\) −716.174 11140.6i −0.0797614 1.24074i
\(433\) 7771.22 + 16137.1i 0.862496 + 1.79099i 0.530405 + 0.847744i \(0.322040\pi\)
0.332091 + 0.943247i \(0.392246\pi\)
\(434\) −3758.75 + 1352.39i −0.415728 + 0.149578i
\(435\) 10427.6 8255.62i 1.14935 0.909946i
\(436\) −8578.24 5848.55i −0.942255 0.642419i
\(437\) −1088.47 1009.95i −0.119150 0.110555i
\(438\) −2062.02 + 3542.55i −0.224948 + 0.386461i
\(439\) −11600.5 4552.87i −1.26119 0.494981i −0.361853 0.932235i \(-0.617856\pi\)
−0.899338 + 0.437254i \(0.855951\pi\)
\(440\) 4757.08 0.515420
\(441\) −1284.19 + 9171.53i −0.138667 + 0.990339i
\(442\) −1048.21 −0.112802
\(443\) −3359.00 1318.31i −0.360250 0.141388i 0.178311 0.983974i \(-0.442937\pi\)
−0.538561 + 0.842586i \(0.681032\pi\)
\(444\) −3701.95 + 6359.96i −0.395691 + 0.679798i
\(445\) −10151.2 9418.92i −1.08138 1.00337i
\(446\) −14945.2 10189.5i −1.58672 1.08181i
\(447\) −7815.71 + 6187.75i −0.827003 + 0.654744i
\(448\) 316.841 + 494.560i 0.0334137 + 0.0521557i
\(449\) 5886.64 + 12223.7i 0.618725 + 1.28480i 0.941082 + 0.338178i \(0.109811\pi\)
−0.322357 + 0.946618i \(0.604475\pi\)
\(450\) 9862.38 5601.47i 1.03315 0.586791i
\(451\) 7066.33 + 10364.4i 0.737784 + 1.08213i
\(452\) −1420.90 9427.03i −0.147861 0.980996i
\(453\) 3771.88 1148.89i 0.391211 0.119160i
\(454\) −2937.64 + 2342.69i −0.303679 + 0.242176i
\(455\) 652.913 2525.15i 0.0672726 0.260178i
\(456\) −996.656 + 475.632i −0.102352 + 0.0488454i
\(457\) 778.645 + 10390.3i 0.0797013 + 1.06354i 0.883436 + 0.468552i \(0.155224\pi\)
−0.803735 + 0.594988i \(0.797157\pi\)
\(458\) 8616.22 + 2657.75i 0.879060 + 0.271154i
\(459\) 4358.86 + 1395.31i 0.443256 + 0.141890i
\(460\) −5225.51 + 3016.95i −0.529654 + 0.305796i
\(461\) −1220.19 5346.01i −0.123275 0.540105i −0.998417 0.0562385i \(-0.982089\pi\)
0.875142 0.483866i \(-0.160768\pi\)
\(462\) 7738.45 4141.94i 0.779276 0.417100i
\(463\) −2306.41 + 10105.1i −0.231508 + 1.01430i 0.716882 + 0.697195i \(0.245569\pi\)
−0.948390 + 0.317107i \(0.897289\pi\)
\(464\) 3850.41 + 12482.7i 0.385239 + 1.24891i
\(465\) −4897.04 384.392i −0.488376 0.0383350i
\(466\) −6549.90 16688.9i −0.651112 1.65901i
\(467\) 3887.20 1199.04i 0.385178 0.118812i −0.0961176 0.995370i \(-0.530642\pi\)
0.481296 + 0.876558i \(0.340166\pi\)
\(468\) 485.299 + 1026.23i 0.0479337 + 0.101362i
\(469\) −5290.78 6039.96i −0.520908 0.594669i
\(470\) 20191.3 4608.53i 1.98161 0.452289i
\(471\) −18412.2 + 1314.38i −1.80125 + 0.128585i
\(472\) −4920.91 2841.09i −0.479880 0.277059i
\(473\) −3946.77 + 12795.1i −0.383663 + 1.24381i
\(474\) −1760.99 698.332i −0.170644 0.0676697i
\(475\) −1648.83 1314.90i −0.159270 0.127014i
\(476\) −2758.51 + 547.059i −0.265622 + 0.0526773i
\(477\) 2708.49 + 638.370i 0.259985 + 0.0612766i
\(478\) −4818.43 + 4470.85i −0.461066 + 0.427807i
\(479\) 4678.49 705.169i 0.446275 0.0672651i 0.0779395 0.996958i \(-0.475166\pi\)
0.368335 + 0.929693i \(0.379928\pi\)
\(480\) 2215.13 + 15057.4i 0.210639 + 1.43181i
\(481\) −409.599 + 2717.51i −0.0388277 + 0.257605i
\(482\) 10210.1 4916.91i 0.964847 0.464646i
\(483\) 4221.30 6796.99i 0.397672 0.640318i
\(484\) 2825.09 + 1360.49i 0.265317 + 0.127770i
\(485\) −9976.84 + 14633.3i −0.934072 + 1.37003i
\(486\) −1772.61 13358.1i −0.165447 1.24678i
\(487\) −204.667 + 2731.09i −0.0190438 + 0.254122i 0.979554 + 0.201182i \(0.0644783\pi\)
−0.998598 + 0.0529400i \(0.983141\pi\)
\(488\) 553.220 1409.58i 0.0513178 0.130756i
\(489\) 1769.05 + 859.643i 0.163597 + 0.0794977i
\(490\) 1088.46 18992.8i 0.100350 1.75104i
\(491\) 594.677i 0.0546587i −0.999626 0.0273293i \(-0.991300\pi\)
0.999626 0.0273293i \(-0.00870028\pi\)
\(492\) −8702.96 + 8018.12i −0.797479 + 0.734725i
\(493\) −5340.52 400.217i −0.487880 0.0365616i
\(494\) 390.316 420.660i 0.0355489 0.0383126i
\(495\) 10768.3 730.470i 0.977780 0.0663277i
\(496\) 2093.32 4346.82i 0.189501 0.393504i
\(497\) 2689.90 4365.53i 0.242773 0.394006i
\(498\) 63.7800 18046.0i 0.00573906 1.62381i
\(499\) 4923.79 + 742.142i 0.441722 + 0.0665788i 0.366138 0.930561i \(-0.380680\pi\)
0.0755838 + 0.997139i \(0.475918\pi\)
\(500\) 414.507 282.606i 0.0370746 0.0252770i
\(501\) −8242.20 2574.32i −0.734999 0.229565i
\(502\) 4117.25 + 4437.34i 0.366059 + 0.394518i
\(503\) −2732.09 3425.93i −0.242183 0.303687i 0.645853 0.763462i \(-0.276502\pi\)
−0.888036 + 0.459774i \(0.847930\pi\)
\(504\) −3541.83 4781.89i −0.313027 0.422624i
\(505\) 16885.6 21173.9i 1.48792 1.86579i
\(506\) −7561.97 + 566.691i −0.664368 + 0.0497875i
\(507\) −8031.24 7504.89i −0.703510 0.657404i
\(508\) 1241.11 2149.66i 0.108396 0.187748i
\(509\) −7415.89 12844.7i −0.645783 1.11853i −0.984120 0.177504i \(-0.943198\pi\)
0.338337 0.941025i \(-0.390136\pi\)
\(510\) −9158.40 2124.43i −0.795178 0.184453i
\(511\) 189.575 + 4102.53i 0.0164116 + 0.355157i
\(512\) −7188.05 1640.63i −0.620449 0.141613i
\(513\) −2183.04 + 1229.70i −0.187882 + 0.105834i
\(514\) 6624.07 2599.76i 0.568435 0.223094i
\(515\) 7409.11 2907.86i 0.633950 0.248807i
\(516\) −12483.7 1926.76i −1.06505 0.164382i
\(517\) 9333.79 + 2130.38i 0.794003 + 0.181226i
\(518\) 925.292 + 20023.9i 0.0784845 + 1.69845i
\(519\) −2176.43 + 9382.58i −0.184074 + 0.793545i
\(520\) 837.956 + 1451.38i 0.0706670 + 0.122399i
\(521\) −5556.92 + 9624.86i −0.467280 + 0.809353i −0.999301 0.0373784i \(-0.988099\pi\)
0.532021 + 0.846731i \(0.321433\pi\)
\(522\) 5656.83 + 14718.4i 0.474316 + 1.23412i
\(523\) −6196.24 + 464.344i −0.518054 + 0.0388228i −0.331192 0.943563i \(-0.607451\pi\)
−0.186862 + 0.982386i \(0.559832\pi\)
\(524\) −5536.31 + 6942.31i −0.461555 + 0.578772i
\(525\) 5257.31 10074.8i 0.437043 0.837525i
\(526\) 428.114 + 536.838i 0.0354879 + 0.0445005i
\(527\) 1345.35 + 1449.94i 0.111204 + 0.119849i
\(528\) −3160.43 + 10118.7i −0.260492 + 0.834019i
\(529\) 4341.31 2959.86i 0.356811 0.243269i
\(530\) −5652.38 851.960i −0.463253 0.0698241i
\(531\) −11575.4 5675.59i −0.946011 0.463841i
\(532\) 807.628 1310.73i 0.0658179 0.106818i
\(533\) −1917.44 + 3981.61i −0.155823 + 0.323570i
\(534\) 14247.0 8158.49i 1.15454 0.661147i
\(535\) 14120.4 15218.2i 1.14108 1.22979i
\(536\) 5145.01 + 385.565i 0.414609 + 0.0310707i
\(537\) −4300.76 4668.10i −0.345608 0.375128i
\(538\) 2843.91i 0.227899i
\(539\) 4262.73 7691.98i 0.340647 0.614689i
\(540\) 2160.27 + 9949.89i 0.172154 + 0.792917i
\(541\) 1200.72 3059.38i 0.0954212 0.243129i −0.875191 0.483777i \(-0.839265\pi\)
0.970613 + 0.240648i \(0.0773598\pi\)
\(542\) −2101.47 + 28042.2i −0.166542 + 2.22235i
\(543\) −2192.03 + 851.382i −0.173240 + 0.0672860i
\(544\) 3452.24 5063.51i 0.272084 0.399074i
\(545\) −31332.1 15088.8i −2.46261 1.18593i
\(546\) 2626.83 + 1631.40i 0.205893 + 0.127871i
\(547\) 6034.62 2906.12i 0.471703 0.227160i −0.182902 0.983131i \(-0.558549\pi\)
0.654605 + 0.755971i \(0.272835\pi\)
\(548\) 1220.13 8095.05i 0.0951122 0.631028i
\(549\) 1035.85 3275.74i 0.0805260 0.254654i
\(550\) −10650.1 + 1605.24i −0.825673 + 0.124450i
\(551\) 2149.23 1994.19i 0.166171 0.154184i
\(552\) 1126.30 + 5016.31i 0.0868452 + 0.386790i
\(553\) −1861.81 + 369.227i −0.143168 + 0.0283927i
\(554\) 4198.82 + 3348.45i 0.322005 + 0.256790i
\(555\) −9086.36 + 22913.2i −0.694945 + 1.75245i
\(556\) 1508.72 4891.13i 0.115079 0.373076i
\(557\) −1755.37 1013.47i −0.133532 0.0770950i 0.431746 0.901995i \(-0.357898\pi\)
−0.565278 + 0.824900i \(0.691231\pi\)
\(558\) 2165.88 5405.90i 0.164317 0.410126i
\(559\) −4599.01 + 1049.69i −0.347974 + 0.0794227i
\(560\) 15139.6 + 17283.4i 1.14244 + 1.30421i
\(561\) −3388.27 2721.70i −0.254996 0.204831i
\(562\) −23885.2 + 7367.61i −1.79277 + 0.552996i
\(563\) −6130.72 15620.8i −0.458932 1.16934i −0.953819 0.300383i \(-0.902886\pi\)
0.494887 0.868958i \(-0.335210\pi\)
\(564\) −706.752 + 9003.81i −0.0527653 + 0.672214i
\(565\) −9412.43 30514.3i −0.700856 2.27212i
\(566\) 2412.63 10570.4i 0.179170 0.784996i
\(567\) −8751.72 10280.6i −0.648215 0.761457i
\(568\) 733.172 + 3212.24i 0.0541606 + 0.237293i
\(569\) −1844.55 + 1064.95i −0.135901 + 0.0784624i −0.566409 0.824124i \(-0.691668\pi\)
0.430508 + 0.902587i \(0.358334\pi\)
\(570\) 4262.81 2884.32i 0.313245 0.211949i
\(571\) 22877.6 + 7056.80i 1.67670 + 0.517194i 0.979802 0.199972i \(-0.0640852\pi\)
0.696902 + 0.717167i \(0.254561\pi\)
\(572\) −80.5567 1074.95i −0.00588854 0.0785771i
\(573\) 8577.48 + 17973.5i 0.625356 + 1.31039i
\(574\) −8069.13 + 31207.4i −0.586758 + 2.26929i
\(575\) −7676.08 + 6121.47i −0.556721 + 0.443971i
\(576\) −845.786 133.603i −0.0611824 0.00966455i
\(577\) 2803.96 + 18603.1i 0.202306 + 1.34221i 0.827379 + 0.561644i \(0.189831\pi\)
−0.625073 + 0.780566i \(0.714931\pi\)
\(578\) −7712.71 11312.5i −0.555029 0.814078i
\(579\) 16354.1 + 11234.9i 1.17384 + 0.806404i
\(580\) −5169.36 10734.3i −0.370079 0.768478i
\(581\) −9753.65 15224.6i −0.696471 1.08713i
\(582\) −13033.5 16462.6i −0.928278 1.17250i
\(583\) −2183.28 1488.53i −0.155098 0.105744i
\(584\) −1934.46 1794.92i −0.137070 0.127182i
\(585\) 2119.70 + 3156.74i 0.149810 + 0.223103i
\(586\) 22699.1 + 8908.75i 1.60016 + 0.628016i
\(587\) −6559.08 −0.461196 −0.230598 0.973049i \(-0.574068\pi\)
−0.230598 + 0.973049i \(0.574068\pi\)
\(588\) 7764.27 + 2922.32i 0.544546 + 0.204956i
\(589\) −1082.84 −0.0757514
\(590\) 24652.1 + 9675.24i 1.72019 + 0.675125i
\(591\) 8608.23 + 5010.61i 0.599146 + 0.348746i
\(592\) −17747.2 16467.0i −1.23210 1.14322i
\(593\) −9495.90 6474.19i −0.657588 0.448336i 0.188002 0.982169i \(-0.439799\pi\)
−0.845590 + 0.533833i \(0.820751\pi\)
\(594\) −2979.48 + 12444.2i −0.205807 + 0.859585i
\(595\) −8863.49 + 3189.06i −0.610702 + 0.219729i
\(596\) 3874.54 + 8045.57i 0.266288 + 0.552952i
\(597\) 13346.7 19428.1i 0.914982 1.33189i
\(598\) −1504.93 2207.33i −0.102912 0.150944i
\(599\) 1428.57 + 9477.93i 0.0974452 + 0.646507i 0.983224 + 0.182400i \(0.0583866\pi\)
−0.885779 + 0.464107i \(0.846375\pi\)
\(600\) 2127.64 + 6985.18i 0.144767 + 0.475281i
\(601\) 8364.86 6670.75i 0.567737 0.452755i −0.297073 0.954855i \(-0.596010\pi\)
0.864810 + 0.502100i \(0.167439\pi\)
\(602\) −31414.6 + 14035.5i −2.12685 + 0.950242i
\(603\) 11705.7 + 82.7441i 0.790534 + 0.00558806i
\(604\) −263.956 3522.24i −0.0177818 0.237282i
\(605\) 10036.3 + 3095.79i 0.674437 + 0.208036i
\(606\) 17993.2 + 26592.7i 1.20615 + 1.78260i
\(607\) 5909.28 3411.72i 0.395140 0.228134i −0.289245 0.957255i \(-0.593404\pi\)
0.684385 + 0.729121i \(0.260071\pi\)
\(608\) 746.560 + 3270.89i 0.0497977 + 0.218178i
\(609\) 12760.5 + 9314.74i 0.849067 + 0.619791i
\(610\) −1570.43 + 6880.50i −0.104237 + 0.456694i
\(611\) 994.163 + 3223.00i 0.0658258 + 0.213402i
\(612\) 2074.97 3536.00i 0.137052 0.233553i
\(613\) 5082.14 + 12949.1i 0.334855 + 0.853195i 0.994797 + 0.101879i \(0.0324855\pi\)
−0.659942 + 0.751316i \(0.729419\pi\)
\(614\) 12734.6 3928.10i 0.837013 0.258184i
\(615\) −24822.6 + 30901.9i −1.62755 + 2.02615i
\(616\) 1510.37 + 5445.17i 0.0987899 + 0.356156i
\(617\) 5907.25 1348.29i 0.385441 0.0879744i −0.0254095 0.999677i \(-0.508089\pi\)
0.410850 + 0.911703i \(0.365232\pi\)
\(618\) 671.915 + 9412.36i 0.0437352 + 0.612655i
\(619\) −7499.66 4329.93i −0.486974 0.281154i 0.236344 0.971669i \(-0.424051\pi\)
−0.723318 + 0.690515i \(0.757384\pi\)
\(620\) −1297.00 + 4204.78i −0.0840144 + 0.272368i
\(621\) 3319.82 + 11182.2i 0.214525 + 0.722586i
\(622\) −9577.82 7638.06i −0.617421 0.492377i
\(623\) 7558.32 14610.0i 0.486064 0.939546i
\(624\) −3643.93 + 818.165i −0.233772 + 0.0524885i
\(625\) 12052.3 11182.9i 0.771349 0.715707i
\(626\) −8316.30 + 1253.48i −0.530969 + 0.0800306i
\(627\) 2353.92 346.293i 0.149931 0.0220568i
\(628\) −2464.51 + 16351.0i −0.156600 + 1.03897i
\(629\) 8942.49 4306.48i 0.566869 0.272990i
\(630\) 19644.6 + 19577.6i 1.24232 + 1.23808i
\(631\) −14442.4 6955.10i −0.911162 0.438793i −0.0812547 0.996693i \(-0.525893\pi\)
−0.829908 + 0.557901i \(0.811607\pi\)
\(632\) 687.034 1007.69i 0.0432417 0.0634239i
\(633\) 1733.41 + 4462.96i 0.108842 + 0.280232i
\(634\) 2767.60 36931.1i 0.173368 2.31344i
\(635\) 3037.57 7739.59i 0.189830 0.483679i
\(636\) 1089.49 2242.05i 0.0679264 0.139785i
\(637\) 3097.70 54.3805i 0.192677 0.00338247i
\(638\) 14973.2i 0.929148i
\(639\) 2152.89 + 7158.78i 0.133282 + 0.443188i
\(640\) −21612.3 1619.62i −1.33484 0.100033i
\(641\) 7493.69 8076.28i 0.461752 0.497650i −0.458654 0.888615i \(-0.651668\pi\)
0.920406 + 0.390965i \(0.127859\pi\)
\(642\) 12230.8 + 21358.3i 0.751887 + 1.31300i
\(643\) −1066.69 + 2215.01i −0.0654218 + 0.135850i −0.931116 0.364724i \(-0.881163\pi\)
0.865694 + 0.500574i \(0.166878\pi\)
\(644\) −5112.43 5023.47i −0.312823 0.307380i
\(645\) −42309.7 149.536i −2.58286 0.00912862i
\(646\) −2049.36 308.891i −0.124816 0.0188130i
\(647\) −4872.03 + 3321.70i −0.296042 + 0.201838i −0.702228 0.711952i \(-0.747811\pi\)
0.406185 + 0.913791i \(0.366859\pi\)
\(648\) 8641.05 + 770.541i 0.523846 + 0.0467125i
\(649\) 8326.76 + 8974.12i 0.503627 + 0.542781i
\(650\) −2365.76 2966.57i −0.142758 0.179013i
\(651\) −1114.82 5727.42i −0.0671169 0.344816i
\(652\) 1098.53 1377.52i 0.0659844 0.0827418i
\(653\) −2218.13 + 166.226i −0.132928 + 0.00996158i −0.141028 0.990006i \(-0.545041\pi\)
0.00809989 + 0.999967i \(0.497422\pi\)
\(654\) 28149.8 30124.0i 1.68309 1.80113i
\(655\) −14871.3 + 25757.8i −0.887129 + 1.53655i
\(656\) −19465.4 33715.1i −1.15853 2.00664i
\(657\) −4654.56 3766.02i −0.276395 0.223632i
\(658\) 11685.9 + 21648.7i 0.692344 + 1.28260i
\(659\) −14023.5 3200.78i −0.828952 0.189203i −0.213066 0.977038i \(-0.568345\pi\)
−0.615886 + 0.787835i \(0.711202\pi\)
\(660\) 1474.79 9555.32i 0.0869790 0.563546i
\(661\) −2241.87 + 879.868i −0.131919 + 0.0517744i −0.430382 0.902647i \(-0.641621\pi\)
0.298463 + 0.954421i \(0.403526\pi\)
\(662\) −21808.5 + 8559.19i −1.28038 + 0.502511i
\(663\) 233.549 1513.19i 0.0136807 0.0886385i
\(664\) 11326.8 + 2585.26i 0.661993 + 0.151096i
\(665\) 2020.63 4744.52i 0.117830 0.276669i
\(666\) −22718.3 18381.4i −1.32179 1.06947i
\(667\) −6824.68 11820.7i −0.396181 0.686206i
\(668\) −3867.57 + 6698.82i −0.224013 + 0.388002i
\(669\) 18039.3 19304.5i 1.04251 1.11563i
\(670\) −23979.2 + 1796.99i −1.38268 + 0.103618i
\(671\) −2034.09 + 2550.67i −0.117027 + 0.146747i
\(672\) −16532.0 + 7316.24i −0.949012 + 0.419985i
\(673\) −9990.33 12527.5i −0.572213 0.717532i 0.408550 0.912736i \(-0.366035\pi\)
−0.980763 + 0.195204i \(0.937463\pi\)
\(674\) −1913.02 2061.74i −0.109327 0.117827i
\(675\) 5888.82 + 15485.3i 0.335794 + 0.883004i
\(676\) −8135.69 + 5546.82i −0.462886 + 0.315590i
\(677\) 5055.25 + 761.957i 0.286986 + 0.0432561i 0.290957 0.956736i \(-0.406026\pi\)
−0.00397189 + 0.999992i \(0.501264\pi\)
\(678\) 37858.6 + 133.804i 2.14447 + 0.00757923i
\(679\) −19917.6 6773.85i −1.12573 0.382852i
\(680\) 2626.18 5453.31i 0.148102 0.307537i
\(681\) −2727.35 4762.71i −0.153469 0.267999i
\(682\) −3761.41 + 4053.84i −0.211191 + 0.227609i
\(683\) −27442.4 2056.52i −1.53742 0.115213i −0.721105 0.692826i \(-0.756365\pi\)
−0.816311 + 0.577613i \(0.803984\pi\)
\(684\) 646.396 + 2149.39i 0.0361339 + 0.120152i
\(685\) 27421.1i 1.52950i
\(686\) 22085.6 4784.31i 1.22920 0.266277i
\(687\) −5756.46 + 11846.1i −0.319683 + 0.657871i
\(688\) 15182.2 38683.6i 0.841303 2.14360i
\(689\) 69.5680 928.321i 0.00384663 0.0513298i
\(690\) −8675.21 22335.9i −0.478637 1.23234i
\(691\) −6254.62 + 9173.84i −0.344337 + 0.505050i −0.958872 0.283840i \(-0.908391\pi\)
0.614534 + 0.788890i \(0.289344\pi\)
\(692\) 7773.64 + 3743.59i 0.427037 + 0.205650i
\(693\) 4255.07 + 12094.0i 0.233242 + 0.662933i
\(694\) −8294.20 + 3994.27i −0.453665 + 0.218473i
\(695\) 2555.30 16953.3i 0.139465 0.925290i
\(696\) −10043.4 + 1477.51i −0.546973 + 0.0804669i
\(697\) 15782.3 2378.80i 0.857673 0.129273i
\(698\) −8513.10 + 7899.00i −0.461641 + 0.428340i
\(699\) 25551.2 5736.97i 1.38260 0.310432i
\(700\) −7774.06 6572.25i −0.419760 0.354868i
\(701\) 19324.0 + 15410.4i 1.04117 + 0.830302i 0.985759 0.168162i \(-0.0537831\pi\)
0.0554064 + 0.998464i \(0.482355\pi\)
\(702\) −4321.57 + 1283.01i −0.232346 + 0.0689801i
\(703\) −1601.62 + 5192.31i −0.0859261 + 0.278566i
\(704\) 704.174 + 406.555i 0.0376982 + 0.0217651i
\(705\) 2154.07 + 30174.8i 0.115074 + 1.61198i
\(706\) 3314.39 756.489i 0.176684 0.0403270i
\(707\) 29597.7 + 12605.3i 1.57445 + 0.670539i
\(708\) −7232.34 + 9003.60i −0.383910 + 0.477932i
\(709\) 26301.9 8113.05i 1.39321 0.429749i 0.494840 0.868984i \(-0.335227\pi\)
0.898372 + 0.439235i \(0.144750\pi\)
\(710\) −5610.25 14294.7i −0.296548 0.755591i
\(711\) 1400.47 2386.56i 0.0738700 0.125883i
\(712\) 3115.45 + 10100.0i 0.163984 + 0.531622i
\(713\) −1121.76 + 4914.74i −0.0589203 + 0.258147i
\(714\) −476.075 11157.6i −0.0249533 0.584822i
\(715\) −803.461 3520.19i −0.0420248 0.184123i
\(716\) −4924.12 + 2842.94i −0.257016 + 0.148388i
\(717\) −5380.48 7951.96i −0.280248 0.414186i
\(718\) 31757.0 + 9795.74i 1.65064 + 0.509155i
\(719\) 1488.34 + 19860.6i 0.0771987 + 1.03014i 0.892482 + 0.451083i \(0.148962\pi\)
−0.815283 + 0.579062i \(0.803419\pi\)
\(720\) −33495.8 236.772i −1.73377 0.0122555i
\(721\) 5680.86 + 7557.55i 0.293434 + 0.390372i
\(722\) −18189.5 + 14505.6i −0.937594 + 0.747706i
\(723\) 4823.12 + 15834.7i 0.248097 + 0.814519i
\(724\) 313.963 + 2083.01i 0.0161165 + 0.106926i
\(725\) −10920.6 16017.6i −0.559423 0.820522i
\(726\) −7050.75 + 10263.4i −0.360438 + 0.524672i
\(727\) −10117.7 21009.6i −0.516154 1.07181i −0.982338 0.187117i \(-0.940086\pi\)
0.466184 0.884688i \(-0.345629\pi\)
\(728\) −1395.27 + 1419.98i −0.0710330 + 0.0722909i
\(729\) 19678.6 + 417.362i 0.999775 + 0.0212042i
\(730\) 10162.0 + 6928.35i 0.515224 + 0.351274i
\(731\) 12488.9 + 11588.0i 0.631902 + 0.586319i
\(732\) −2659.85 1548.22i −0.134304 0.0781749i
\(733\) −2151.82 844.527i −0.108430 0.0425557i 0.310506 0.950571i \(-0.399502\pi\)
−0.418936 + 0.908016i \(0.637597\pi\)
\(734\) 46522.6 2.33948
\(735\) 27175.3 + 5803.02i 1.36378 + 0.291221i
\(736\) 15619.2 0.782244
\(737\) −10347.5 4061.09i −0.517171 0.202975i
\(738\) −26196.7 39013.1i −1.30666 1.94592i
\(739\) −10080.3 9353.14i −0.501772 0.465576i 0.388211 0.921571i \(-0.373093\pi\)
−0.889983 + 0.455994i \(0.849284\pi\)
\(740\) 18243.9 + 12438.5i 0.906297 + 0.617903i
\(741\) 520.296 + 657.182i 0.0257942 + 0.0325805i
\(742\) −819.439 6740.47i −0.0405425 0.333491i
\(743\) −2043.96 4244.33i −0.100923 0.209569i 0.844393 0.535724i \(-0.179961\pi\)
−0.945316 + 0.326155i \(0.894247\pi\)
\(744\) 3090.30 + 2122.97i 0.152279 + 0.104613i
\(745\) 16849.6 + 24713.8i 0.828620 + 1.21536i
\(746\) −6660.05 44186.5i −0.326865 2.16861i
\(747\) 26036.7 + 4112.83i 1.27528 + 0.201447i
\(748\) −3043.82 + 2427.36i −0.148787 + 0.118654i
\(749\) 21902.6 + 11331.1i 1.06850 + 0.552774i
\(750\) 858.049 + 1797.98i 0.0417753 + 0.0875375i
\(751\) −377.585 5038.52i −0.0183466 0.244818i −0.998836 0.0482439i \(-0.984638\pi\)
0.980489 0.196574i \(-0.0629815\pi\)
\(752\) −28392.6 8757.95i −1.37682 0.424694i
\(753\) −7323.05 + 4954.95i −0.354405 + 0.239798i
\(754\) 4568.33 2637.53i 0.220648 0.127391i
\(755\) −2632.65 11534.4i −0.126903 0.556000i
\(756\) −10703.2 + 5631.82i −0.514909 + 0.270936i
\(757\) 2771.90 12144.5i 0.133086 0.583089i −0.863772 0.503883i \(-0.831904\pi\)
0.996858 0.0792061i \(-0.0252385\pi\)
\(758\) 9748.77 + 31604.7i 0.467139 + 1.51443i
\(759\) 866.788 11042.6i 0.0414525 0.528092i
\(760\) 1210.59 + 3084.53i 0.0577799 + 0.147221i
\(761\) 28774.1 8875.62i 1.37064 0.422787i 0.479911 0.877317i \(-0.340669\pi\)
0.890731 + 0.454530i \(0.150193\pi\)
\(762\) 7684.92 + 6173.08i 0.365348 + 0.293474i
\(763\) 7323.32 40654.8i 0.347473 1.92897i
\(764\) 17392.9 3969.82i 0.823630 0.187988i
\(765\) 5107.35 12747.6i 0.241381 0.602472i
\(766\) 7030.92 + 4059.30i 0.331642 + 0.191473i
\(767\) −1271.25 + 4121.28i −0.0598462 + 0.194016i
\(768\) 9957.77 25110.7i 0.467865 1.17982i
\(769\) 13231.4 + 10551.7i 0.620464 + 0.494803i 0.882536 0.470245i \(-0.155834\pi\)
−0.262072 + 0.965048i \(0.584406\pi\)
\(770\) −10743.1 24045.5i −0.502800 1.12538i
\(771\) 2277.09 + 10141.7i 0.106365 + 0.473727i
\(772\) 13029.2