Properties

Label 27.4.e.a.16.3
Level 27
Weight 4
Character 27.16
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.3
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39552 - 1.17098i) q^{2} +(4.34503 + 2.84969i) q^{3} +(-0.812901 - 4.61019i) q^{4} +(12.7121 + 4.62683i) q^{5} +(-2.72666 - 9.06477i) q^{6} +(3.96931 - 22.5111i) q^{7} +(-11.5509 + 20.0068i) q^{8} +(10.7586 + 24.7639i) q^{9} +O(q^{10})\) \(q+(-1.39552 - 1.17098i) q^{2} +(4.34503 + 2.84969i) q^{3} +(-0.812901 - 4.61019i) q^{4} +(12.7121 + 4.62683i) q^{5} +(-2.72666 - 9.06477i) q^{6} +(3.96931 - 22.5111i) q^{7} +(-11.5509 + 20.0068i) q^{8} +(10.7586 + 24.7639i) q^{9} +(-12.3221 - 21.3425i) q^{10} +(-31.0845 + 11.3138i) q^{11} +(9.60551 - 22.3479i) q^{12} +(-52.2664 + 43.8567i) q^{13} +(-31.8994 + 26.7667i) q^{14} +(42.0495 + 56.3292i) q^{15} +(4.35538 - 1.58523i) q^{16} +(-18.6324 - 32.2722i) q^{17} +(13.9843 - 47.1568i) q^{18} +(47.5146 - 82.2977i) q^{19} +(10.9969 - 62.3663i) q^{20} +(81.3962 - 86.5000i) q^{21} +(56.6275 + 20.6107i) q^{22} +(16.6296 + 94.3109i) q^{23} +(-107.202 + 54.0137i) q^{24} +(44.4344 + 37.2849i) q^{25} +124.295 q^{26} +(-23.8230 + 138.259i) q^{27} -107.007 q^{28} +(-109.835 - 92.1623i) q^{29} +(7.27952 - 127.848i) q^{30} +(13.9405 + 79.0604i) q^{31} +(165.735 + 60.3226i) q^{32} +(-167.304 - 39.4221i) q^{33} +(-11.7883 + 66.8549i) q^{34} +(154.613 - 267.798i) q^{35} +(105.421 - 69.7297i) q^{36} +(32.8251 + 56.8548i) q^{37} +(-162.677 + 59.2096i) q^{38} +(-352.077 + 41.6160i) q^{39} +(-239.405 + 200.885i) q^{40} +(-75.7866 + 63.5925i) q^{41} +(-214.881 + 25.3992i) q^{42} +(413.325 - 150.438i) q^{43} +(77.4275 + 134.108i) q^{44} +(22.1858 + 364.580i) q^{45} +(87.2297 - 151.086i) q^{46} +(46.4461 - 263.409i) q^{47} +(23.4417 + 5.52360i) q^{48} +(-168.678 - 61.3938i) q^{49} +(-18.3493 - 104.064i) q^{50} +(11.0074 - 193.320i) q^{51} +(244.675 + 205.307i) q^{52} -38.9538 q^{53} +(195.144 - 165.047i) q^{54} -447.496 q^{55} +(404.526 + 339.437i) q^{56} +(440.975 - 222.184i) q^{57} +(45.3565 + 257.229i) q^{58} +(-202.231 - 73.6059i) q^{59} +(225.506 - 239.646i) q^{60} +(-9.24487 + 52.4303i) q^{61} +(73.1242 - 126.655i) q^{62} +(600.167 - 143.892i) q^{63} +(-179.190 - 310.366i) q^{64} +(-867.333 + 315.683i) q^{65} +(187.314 + 250.925i) q^{66} +(793.335 - 665.687i) q^{67} +(-133.635 + 112.133i) q^{68} +(-196.501 + 457.173i) q^{69} +(-529.353 + 192.669i) q^{70} +(-148.085 - 256.490i) q^{71} +(-619.720 - 70.8018i) q^{72} +(49.0512 - 84.9591i) q^{73} +(20.7678 - 117.780i) q^{74} +(86.8187 + 288.628i) q^{75} +(-418.032 - 152.151i) q^{76} +(131.302 + 744.653i) q^{77} +(540.063 + 354.200i) q^{78} +(-468.143 - 392.819i) q^{79} +62.7006 q^{80} +(-497.506 + 532.850i) q^{81} +180.228 q^{82} +(657.961 + 552.095i) q^{83} +(-464.948 - 304.936i) q^{84} +(-87.5387 - 496.457i) q^{85} +(-752.966 - 274.057i) q^{86} +(-214.602 - 713.442i) q^{87} +(132.702 - 752.588i) q^{88} +(-663.574 + 1149.34i) q^{89} +(395.956 - 534.759i) q^{90} +(779.800 + 1350.65i) q^{91} +(421.273 - 153.331i) q^{92} +(-164.725 + 383.246i) q^{93} +(-373.264 + 313.206i) q^{94} +(984.787 - 826.334i) q^{95} +(548.224 + 734.397i) q^{96} +(-631.800 + 229.956i) q^{97} +(163.503 + 283.196i) q^{98} +(-614.600 - 648.054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39552 1.17098i −0.493392 0.414005i 0.361848 0.932237i \(-0.382146\pi\)
−0.855240 + 0.518232i \(0.826590\pi\)
\(3\) 4.34503 + 2.84969i 0.836202 + 0.548422i
\(4\) −0.812901 4.61019i −0.101613 0.576273i
\(5\) 12.7121 + 4.62683i 1.13700 + 0.413836i 0.840831 0.541298i \(-0.182067\pi\)
0.296174 + 0.955134i \(0.404289\pi\)
\(6\) −2.72666 9.06477i −0.185526 0.616779i
\(7\) 3.96931 22.5111i 0.214322 1.21548i −0.667756 0.744380i \(-0.732745\pi\)
0.882078 0.471103i \(-0.156144\pi\)
\(8\) −11.5509 + 20.0068i −0.510485 + 0.884185i
\(9\) 10.7586 + 24.7639i 0.398466 + 0.917183i
\(10\) −12.3221 21.3425i −0.389659 0.674910i
\(11\) −31.0845 + 11.3138i −0.852030 + 0.310114i −0.730868 0.682519i \(-0.760884\pi\)
−0.121162 + 0.992633i \(0.538662\pi\)
\(12\) 9.60551 22.3479i 0.231073 0.537607i
\(13\) −52.2664 + 43.8567i −1.11508 + 0.935666i −0.998346 0.0574967i \(-0.981688\pi\)
−0.116738 + 0.993163i \(0.537244\pi\)
\(14\) −31.8994 + 26.7667i −0.608962 + 0.510980i
\(15\) 42.0495 + 56.3292i 0.723809 + 0.969609i
\(16\) 4.35538 1.58523i 0.0680528 0.0247692i
\(17\) −18.6324 32.2722i −0.265825 0.460422i 0.701955 0.712222i \(-0.252311\pi\)
−0.967779 + 0.251800i \(0.918978\pi\)
\(18\) 13.9843 47.1568i 0.183119 0.617498i
\(19\) 47.5146 82.2977i 0.573715 0.993704i −0.422465 0.906379i \(-0.638835\pi\)
0.996180 0.0873247i \(-0.0278317\pi\)
\(20\) 10.9969 62.3663i 0.122949 0.697277i
\(21\) 81.3962 86.5000i 0.845815 0.898850i
\(22\) 56.6275 + 20.6107i 0.548774 + 0.199737i
\(23\) 16.6296 + 94.3109i 0.150761 + 0.855008i 0.962559 + 0.271071i \(0.0873777\pi\)
−0.811798 + 0.583938i \(0.801511\pi\)
\(24\) −107.202 + 54.0137i −0.911775 + 0.459396i
\(25\) 44.4344 + 37.2849i 0.355476 + 0.298279i
\(26\) 124.295 0.937545
\(27\) −23.8230 + 138.259i −0.169805 + 0.985478i
\(28\) −107.007 −0.722229
\(29\) −109.835 92.1623i −0.703303 0.590142i 0.219408 0.975633i \(-0.429587\pi\)
−0.922711 + 0.385492i \(0.874032\pi\)
\(30\) 7.27952 127.848i 0.0443017 0.778058i
\(31\) 13.9405 + 79.0604i 0.0807673 + 0.458054i 0.998190 + 0.0601399i \(0.0191547\pi\)
−0.917423 + 0.397914i \(0.869734\pi\)
\(32\) 165.735 + 60.3226i 0.915566 + 0.333239i
\(33\) −167.304 39.4221i −0.882542 0.207955i
\(34\) −11.7883 + 66.8549i −0.0594612 + 0.337221i
\(35\) 154.613 267.798i 0.746696 1.29332i
\(36\) 105.421 69.7297i 0.488059 0.322823i
\(37\) 32.8251 + 56.8548i 0.145849 + 0.252618i 0.929689 0.368344i \(-0.120075\pi\)
−0.783840 + 0.620962i \(0.786742\pi\)
\(38\) −162.677 + 59.2096i −0.694466 + 0.252765i
\(39\) −352.077 + 41.6160i −1.44557 + 0.170869i
\(40\) −239.405 + 200.885i −0.946331 + 0.794066i
\(41\) −75.7866 + 63.5925i −0.288680 + 0.242231i −0.775614 0.631207i \(-0.782560\pi\)
0.486934 + 0.873439i \(0.338115\pi\)
\(42\) −214.881 + 25.3992i −0.789447 + 0.0933138i
\(43\) 413.325 150.438i 1.46585 0.533525i 0.518879 0.854848i \(-0.326350\pi\)
0.946970 + 0.321322i \(0.104127\pi\)
\(44\) 77.4275 + 134.108i 0.265287 + 0.459491i
\(45\) 22.1858 + 364.580i 0.0734948 + 1.20774i
\(46\) 87.2297 151.086i 0.279594 0.484271i
\(47\) 46.4461 263.409i 0.144146 0.817493i −0.823903 0.566731i \(-0.808208\pi\)
0.968049 0.250762i \(-0.0806810\pi\)
\(48\) 23.4417 + 5.52360i 0.0704899 + 0.0166096i
\(49\) −168.678 61.3938i −0.491773 0.178991i
\(50\) −18.3493 104.064i −0.0518997 0.294338i
\(51\) 11.0074 193.320i 0.0302225 0.530789i
\(52\) 244.675 + 205.307i 0.652506 + 0.547518i
\(53\) −38.9538 −0.100957 −0.0504784 0.998725i \(-0.516075\pi\)
−0.0504784 + 0.998725i \(0.516075\pi\)
\(54\) 195.144 165.047i 0.491774 0.415927i
\(55\) −447.496 −1.09710
\(56\) 404.526 + 339.437i 0.965304 + 0.809986i
\(57\) 440.975 222.184i 1.02471 0.516299i
\(58\) 45.3565 + 257.229i 0.102683 + 0.582343i
\(59\) −202.231 73.6059i −0.446240 0.162418i 0.109119 0.994029i \(-0.465197\pi\)
−0.555359 + 0.831610i \(0.687419\pi\)
\(60\) 225.506 239.646i 0.485212 0.515636i
\(61\) −9.24487 + 52.4303i −0.0194047 + 0.110049i −0.992972 0.118352i \(-0.962239\pi\)
0.973567 + 0.228402i \(0.0733499\pi\)
\(62\) 73.1242 126.655i 0.149787 0.259438i
\(63\) 600.167 143.892i 1.20022 0.287756i
\(64\) −179.190 310.366i −0.349981 0.606184i
\(65\) −867.333 + 315.683i −1.65507 + 0.602395i
\(66\) 187.314 + 250.925i 0.349345 + 0.467980i
\(67\) 793.335 665.687i 1.44659 1.21383i 0.511563 0.859246i \(-0.329067\pi\)
0.935024 0.354584i \(-0.115378\pi\)
\(68\) −133.635 + 112.133i −0.238318 + 0.199972i
\(69\) −196.501 + 457.173i −0.342839 + 0.797640i
\(70\) −529.353 + 192.669i −0.903854 + 0.328976i
\(71\) −148.085 256.490i −0.247527 0.428729i 0.715312 0.698805i \(-0.246284\pi\)
−0.962839 + 0.270076i \(0.912951\pi\)
\(72\) −619.720 70.8018i −1.01437 0.115890i
\(73\) 49.0512 84.9591i 0.0786439 0.136215i −0.824021 0.566559i \(-0.808274\pi\)
0.902665 + 0.430344i \(0.141608\pi\)
\(74\) 20.7678 117.780i 0.0326244 0.185022i
\(75\) 86.8187 + 288.628i 0.133666 + 0.444372i
\(76\) −418.032 152.151i −0.630942 0.229644i
\(77\) 131.302 + 744.653i 0.194329 + 1.10209i
\(78\) 540.063 + 354.200i 0.783976 + 0.514170i
\(79\) −468.143 392.819i −0.666712 0.559437i 0.245379 0.969427i \(-0.421088\pi\)
−0.912090 + 0.409990i \(0.865532\pi\)
\(80\) 62.7006 0.0876268
\(81\) −497.506 + 532.850i −0.682449 + 0.730933i
\(82\) 180.228 0.242718
\(83\) 657.961 + 552.095i 0.870127 + 0.730123i 0.964125 0.265449i \(-0.0855202\pi\)
−0.0939976 + 0.995572i \(0.529965\pi\)
\(84\) −464.948 304.936i −0.603929 0.396086i
\(85\) −87.5387 496.457i −0.111705 0.633509i
\(86\) −752.966 274.057i −0.944121 0.343632i
\(87\) −214.602 713.442i −0.264457 0.879184i
\(88\) 132.702 752.588i 0.160750 0.911660i
\(89\) −663.574 + 1149.34i −0.790323 + 1.36888i 0.135445 + 0.990785i \(0.456754\pi\)
−0.925767 + 0.378094i \(0.876580\pi\)
\(90\) 395.956 534.759i 0.463750 0.626318i
\(91\) 779.800 + 1350.65i 0.898299 + 1.55590i
\(92\) 421.273 153.331i 0.477399 0.173759i
\(93\) −164.725 + 383.246i −0.183669 + 0.427320i
\(94\) −373.264 + 313.206i −0.409567 + 0.343667i
\(95\) 984.787 826.334i 1.06355 0.892422i
\(96\) 548.224 + 734.397i 0.582842 + 0.780771i
\(97\) −631.800 + 229.956i −0.661336 + 0.240707i −0.650813 0.759238i \(-0.725572\pi\)
−0.0105229 + 0.999945i \(0.503350\pi\)
\(98\) 163.503 + 283.196i 0.168534 + 0.291909i
\(99\) −614.600 648.054i −0.623936 0.657898i
\(100\) 135.770 235.160i 0.135770 0.235160i
\(101\) 295.568 1676.25i 0.291190 1.65142i −0.391109 0.920344i \(-0.627909\pi\)
0.682299 0.731073i \(-0.260980\pi\)
\(102\) −241.736 + 256.894i −0.234661 + 0.249375i
\(103\) 762.201 + 277.419i 0.729145 + 0.265387i 0.679803 0.733395i \(-0.262065\pi\)
0.0493421 + 0.998782i \(0.484288\pi\)
\(104\) −273.707 1552.27i −0.258069 1.46358i
\(105\) 1434.94 722.991i 1.33367 0.671968i
\(106\) 54.3609 + 45.6142i 0.0498113 + 0.0417967i
\(107\) −392.858 −0.354944 −0.177472 0.984126i \(-0.556792\pi\)
−0.177472 + 0.984126i \(0.556792\pi\)
\(108\) 656.764 2.56186i 0.585159 0.00228254i
\(109\) 847.501 0.744733 0.372366 0.928086i \(-0.378547\pi\)
0.372366 + 0.928086i \(0.378547\pi\)
\(110\) 624.492 + 524.011i 0.541300 + 0.454205i
\(111\) −19.3920 + 340.577i −0.0165821 + 0.291226i
\(112\) −18.3973 104.337i −0.0155213 0.0880257i
\(113\) 1504.12 + 547.454i 1.25217 + 0.455753i 0.881135 0.472865i \(-0.156780\pi\)
0.371037 + 0.928618i \(0.379002\pi\)
\(114\) −875.565 206.311i −0.719335 0.169498i
\(115\) −224.964 + 1275.83i −0.182417 + 1.03454i
\(116\) −335.601 + 581.277i −0.268618 + 0.465261i
\(117\) −1648.38 822.485i −1.30250 0.649904i
\(118\) 196.026 + 339.528i 0.152930 + 0.264882i
\(119\) −800.440 + 291.336i −0.616607 + 0.224427i
\(120\) −1612.68 + 190.621i −1.22681 + 0.145010i
\(121\) −181.362 + 152.181i −0.136260 + 0.114336i
\(122\) 74.2965 62.3421i 0.0551351 0.0462639i
\(123\) −510.514 + 60.3435i −0.374240 + 0.0442357i
\(124\) 353.151 128.537i 0.255757 0.0930881i
\(125\) −453.152 784.882i −0.324249 0.561616i
\(126\) −1006.04 501.982i −0.711312 0.354921i
\(127\) −1260.78 + 2183.73i −0.880912 + 1.52578i −0.0305839 + 0.999532i \(0.509737\pi\)
−0.850328 + 0.526253i \(0.823597\pi\)
\(128\) 131.643 746.584i 0.0909039 0.515542i
\(129\) 2224.61 + 524.189i 1.51834 + 0.357769i
\(130\) 1580.04 + 575.089i 1.06599 + 0.387990i
\(131\) −151.289 858.001i −0.100902 0.572244i −0.992778 0.119964i \(-0.961722\pi\)
0.891876 0.452279i \(-0.149389\pi\)
\(132\) −45.7417 + 803.349i −0.0301614 + 0.529716i
\(133\) −1664.01 1396.27i −1.08487 0.910315i
\(134\) −1886.63 −1.21627
\(135\) −942.540 + 1647.33i −0.600896 + 1.05022i
\(136\) 860.887 0.542797
\(137\) 1978.15 + 1659.86i 1.23361 + 1.03512i 0.997996 + 0.0632736i \(0.0201541\pi\)
0.235613 + 0.971847i \(0.424290\pi\)
\(138\) 809.564 407.897i 0.499381 0.251612i
\(139\) −132.767 752.961i −0.0810156 0.459463i −0.998145 0.0608739i \(-0.980611\pi\)
0.917130 0.398589i \(-0.130500\pi\)
\(140\) −1360.28 495.102i −0.821178 0.298884i
\(141\) 952.443 1012.16i 0.568866 0.604536i
\(142\) −93.6901 + 531.343i −0.0553683 + 0.314009i
\(143\) 1128.49 1954.60i 0.659922 1.14302i
\(144\) 86.1143 + 90.8016i 0.0498347 + 0.0525472i
\(145\) −969.811 1679.76i −0.555438 0.962046i
\(146\) −167.938 + 61.1244i −0.0951962 + 0.0346486i
\(147\) −557.958 747.437i −0.313059 0.419371i
\(148\) 235.428 197.547i 0.130757 0.109718i
\(149\) −1028.82 + 863.284i −0.565667 + 0.474651i −0.880205 0.474594i \(-0.842595\pi\)
0.314538 + 0.949245i \(0.398151\pi\)
\(150\) 216.822 504.451i 0.118023 0.274589i
\(151\) −833.038 + 303.201i −0.448952 + 0.163405i −0.556594 0.830785i \(-0.687892\pi\)
0.107642 + 0.994190i \(0.465670\pi\)
\(152\) 1097.68 + 1901.23i 0.585746 + 1.01454i
\(153\) 598.730 808.615i 0.316369 0.427272i
\(154\) 688.741 1192.94i 0.360392 0.624217i
\(155\) −188.586 + 1069.52i −0.0977264 + 0.554234i
\(156\) 478.061 + 1589.31i 0.245356 + 0.815684i
\(157\) −1313.54 478.089i −0.667718 0.243030i −0.0141531 0.999900i \(-0.504505\pi\)
−0.653565 + 0.756870i \(0.726727\pi\)
\(158\) 193.321 + 1096.38i 0.0973403 + 0.552044i
\(159\) −169.255 111.006i −0.0844202 0.0553669i
\(160\) 1827.74 + 1533.66i 0.903097 + 0.757788i
\(161\) 2189.05 1.07156
\(162\) 1318.24 161.034i 0.639326 0.0780990i
\(163\) 128.789 0.0618869 0.0309435 0.999521i \(-0.490149\pi\)
0.0309435 + 0.999521i \(0.490149\pi\)
\(164\) 354.780 + 297.696i 0.168925 + 0.141745i
\(165\) −1944.39 1275.22i −0.917395 0.601673i
\(166\) −271.706 1540.92i −0.127039 0.720475i
\(167\) −86.4771 31.4751i −0.0400707 0.0145845i 0.321907 0.946771i \(-0.395676\pi\)
−0.361978 + 0.932187i \(0.617898\pi\)
\(168\) 790.387 + 2627.64i 0.362974 + 1.20671i
\(169\) 426.859 2420.84i 0.194292 1.10188i
\(170\) −459.181 + 795.324i −0.207162 + 0.358815i
\(171\) 2549.20 + 291.242i 1.14001 + 0.130244i
\(172\) −1029.54 1783.22i −0.456405 0.790517i
\(173\) −2857.62 + 1040.09i −1.25584 + 0.457089i −0.882372 0.470553i \(-0.844054\pi\)
−0.373470 + 0.927642i \(0.621832\pi\)
\(174\) −535.948 + 1246.92i −0.233506 + 0.543269i
\(175\) 1015.70 852.271i 0.438740 0.368147i
\(176\) −117.450 + 98.5521i −0.0503018 + 0.0422082i
\(177\) −668.945 896.114i −0.284073 0.380543i
\(178\) 2271.90 826.903i 0.956662 0.348197i
\(179\) −180.575 312.765i −0.0754012 0.130599i 0.825859 0.563876i \(-0.190690\pi\)
−0.901261 + 0.433277i \(0.857357\pi\)
\(180\) 1662.75 398.648i 0.688521 0.165075i
\(181\) −552.436 + 956.847i −0.226863 + 0.392939i −0.956877 0.290494i \(-0.906180\pi\)
0.730014 + 0.683433i \(0.239514\pi\)
\(182\) 493.363 2798.00i 0.200937 1.13957i
\(183\) −189.579 + 201.466i −0.0765797 + 0.0813815i
\(184\) −2078.95 756.676i −0.832947 0.303168i
\(185\) 154.219 + 874.619i 0.0612887 + 0.347585i
\(186\) 678.653 341.938i 0.267534 0.134796i
\(187\) 944.301 + 792.363i 0.369273 + 0.309857i
\(188\) −1252.12 −0.485746
\(189\) 3017.79 + 1085.07i 1.16144 + 0.417606i
\(190\) −2341.92 −0.894214
\(191\) −2761.57 2317.23i −1.04618 0.877849i −0.0534926 0.998568i \(-0.517035\pi\)
−0.992687 + 0.120720i \(0.961480\pi\)
\(192\) 105.860 1859.19i 0.0397905 0.698830i
\(193\) 551.265 + 3126.38i 0.205601 + 1.16602i 0.896491 + 0.443061i \(0.146107\pi\)
−0.690891 + 0.722959i \(0.742781\pi\)
\(194\) 1150.97 + 418.918i 0.425952 + 0.155034i
\(195\) −4668.19 1099.97i −1.71434 0.403952i
\(196\) −145.918 + 827.545i −0.0531773 + 0.301583i
\(197\) 105.570 182.852i 0.0381804 0.0661304i −0.846304 0.532701i \(-0.821177\pi\)
0.884484 + 0.466570i \(0.154511\pi\)
\(198\) 98.8292 + 1624.06i 0.0354721 + 0.582915i
\(199\) 573.724 + 993.718i 0.204373 + 0.353984i 0.949933 0.312455i \(-0.101151\pi\)
−0.745560 + 0.666439i \(0.767818\pi\)
\(200\) −1259.21 + 458.316i −0.445199 + 0.162039i
\(201\) 5344.06 631.676i 1.87533 0.221667i
\(202\) −2375.34 + 1993.14i −0.827367 + 0.694243i
\(203\) −2510.64 + 2106.68i −0.868041 + 0.728373i
\(204\) −900.191 + 106.404i −0.308951 + 0.0365184i
\(205\) −1257.64 + 457.743i −0.428475 + 0.155952i
\(206\) −738.818 1279.67i −0.249883 0.432810i
\(207\) −2156.60 + 1426.47i −0.724126 + 0.478967i
\(208\) −158.117 + 273.867i −0.0527089 + 0.0912945i
\(209\) −545.865 + 3095.75i −0.180662 + 1.02458i
\(210\) −2849.10 671.338i −0.936222 0.220603i
\(211\) −360.990 131.390i −0.117780 0.0428685i 0.282458 0.959280i \(-0.408850\pi\)
−0.400238 + 0.916411i \(0.631073\pi\)
\(212\) 31.6655 + 179.584i 0.0102585 + 0.0581787i
\(213\) 87.4837 1536.45i 0.0281422 0.494253i
\(214\) 548.243 + 460.030i 0.175127 + 0.146949i
\(215\) 5950.28 1.88747
\(216\) −2490.94 2073.64i −0.784662 0.653210i
\(217\) 1835.07 0.574067
\(218\) −1182.71 992.410i −0.367445 0.308323i
\(219\) 455.236 229.370i 0.140466 0.0707734i
\(220\) 363.770 + 2063.04i 0.111479 + 0.632229i
\(221\) 2389.20 + 869.598i 0.727217 + 0.264686i
\(222\) 425.872 452.576i 0.128751 0.136824i
\(223\) 19.3778 109.897i 0.00581898 0.0330011i −0.981760 0.190124i \(-0.939111\pi\)
0.987579 + 0.157123i \(0.0502220\pi\)
\(224\) 2015.78 3491.43i 0.601272 1.04143i
\(225\) −445.270 + 1501.51i −0.131932 + 0.444890i
\(226\) −1457.97 2525.28i −0.429128 0.743271i
\(227\) 3958.45 1440.76i 1.15741 0.421262i 0.309237 0.950985i \(-0.399926\pi\)
0.848170 + 0.529723i \(0.177704\pi\)
\(228\) −1382.78 1852.36i −0.401653 0.538051i
\(229\) 1571.62 1318.74i 0.453517 0.380546i −0.387222 0.921987i \(-0.626565\pi\)
0.840739 + 0.541440i \(0.182121\pi\)
\(230\) 1807.92 1517.03i 0.518308 0.434912i
\(231\) −1551.51 + 3609.71i −0.441914 + 1.02815i
\(232\) 3112.57 1132.88i 0.880820 0.320592i
\(233\) −2172.95 3763.66i −0.610965 1.05822i −0.991078 0.133282i \(-0.957448\pi\)
0.380114 0.924940i \(-0.375885\pi\)
\(234\) 1337.23 + 3078.02i 0.373580 + 0.859900i
\(235\) 1809.18 3133.58i 0.502203 0.869840i
\(236\) −174.944 + 992.155i −0.0482537 + 0.273660i
\(237\) −914.687 3040.87i −0.250697 0.833442i
\(238\) 1458.18 + 530.736i 0.397143 + 0.144548i
\(239\) 255.919 + 1451.39i 0.0692636 + 0.392813i 0.999655 + 0.0262469i \(0.00835562\pi\)
−0.930392 + 0.366566i \(0.880533\pi\)
\(240\) 272.436 + 178.677i 0.0732737 + 0.0480565i
\(241\) 2289.25 + 1920.91i 0.611883 + 0.513431i 0.895240 0.445584i \(-0.147004\pi\)
−0.283357 + 0.959014i \(0.591448\pi\)
\(242\) 431.296 0.114565
\(243\) −3680.13 + 897.516i −0.971525 + 0.236937i
\(244\) 249.229 0.0653903
\(245\) −1860.19 1560.89i −0.485075 0.407027i
\(246\) 783.096 + 513.593i 0.202961 + 0.133112i
\(247\) 1125.89 + 6385.23i 0.290035 + 1.64487i
\(248\) −1742.77 634.318i −0.446235 0.162416i
\(249\) 1285.56 + 4273.85i 0.327186 + 1.08773i
\(250\) −286.700 + 1625.96i −0.0725299 + 0.411338i
\(251\) −1250.48 + 2165.90i −0.314462 + 0.544664i −0.979323 0.202303i \(-0.935157\pi\)
0.664861 + 0.746967i \(0.268491\pi\)
\(252\) −1151.24 2649.91i −0.287784 0.662416i
\(253\) −1583.94 2743.46i −0.393603 0.681740i
\(254\) 4316.56 1571.10i 1.06632 0.388108i
\(255\) 1034.39 2406.58i 0.254023 0.591003i
\(256\) −3254.23 + 2730.62i −0.794490 + 0.666656i
\(257\) 3307.83 2775.60i 0.802867 0.673685i −0.146027 0.989281i \(-0.546649\pi\)
0.948894 + 0.315595i \(0.102204\pi\)
\(258\) −2490.68 3336.50i −0.601020 0.805123i
\(259\) 1410.15 513.254i 0.338312 0.123135i
\(260\) 2160.41 + 3741.95i 0.515320 + 0.892561i
\(261\) 1100.63 3711.48i 0.261025 0.880209i
\(262\) −793.578 + 1374.52i −0.187128 + 0.324115i
\(263\) 571.394 3240.54i 0.133968 0.759772i −0.841604 0.540095i \(-0.818388\pi\)
0.975573 0.219677i \(-0.0705004\pi\)
\(264\) 2721.23 2891.86i 0.634394 0.674173i
\(265\) −495.184 180.232i −0.114788 0.0417796i
\(266\) 687.156 + 3897.05i 0.158392 + 0.898285i
\(267\) −6158.52 + 3102.96i −1.41159 + 0.711228i
\(268\) −3713.85 3116.29i −0.846490 0.710289i
\(269\) −5133.23 −1.16349 −0.581745 0.813371i \(-0.697630\pi\)
−0.581745 + 0.813371i \(0.697630\pi\)
\(270\) 3244.34 1195.19i 0.731275 0.269397i
\(271\) −2210.89 −0.495579 −0.247789 0.968814i \(-0.579704\pi\)
−0.247789 + 0.968814i \(0.579704\pi\)
\(272\) −132.310 111.021i −0.0294944 0.0247487i
\(273\) −460.681 + 8090.81i −0.102131 + 1.79369i
\(274\) −816.880 4632.75i −0.180108 1.02144i
\(275\) −1803.06 656.259i −0.395376 0.143905i
\(276\) 2267.39 + 534.268i 0.494496 + 0.116519i
\(277\) 63.7759 361.691i 0.0138337 0.0784546i −0.977109 0.212738i \(-0.931762\pi\)
0.990943 + 0.134283i \(0.0428731\pi\)
\(278\) −696.425 + 1206.24i −0.150247 + 0.260236i
\(279\) −1807.87 + 1195.80i −0.387936 + 0.256597i
\(280\) 3571.85 + 6186.63i 0.762354 + 1.32044i
\(281\) −4969.07 + 1808.59i −1.05491 + 0.383956i −0.810514 0.585720i \(-0.800812\pi\)
−0.244396 + 0.969675i \(0.578590\pi\)
\(282\) −2514.38 + 297.204i −0.530955 + 0.0627597i
\(283\) −105.367 + 88.4136i −0.0221323 + 0.0185712i −0.653787 0.756679i \(-0.726821\pi\)
0.631654 + 0.775250i \(0.282376\pi\)
\(284\) −1062.09 + 891.198i −0.221913 + 0.186207i
\(285\) 6633.72 784.116i 1.37876 0.162972i
\(286\) −3863.63 + 1406.25i −0.798816 + 0.290745i
\(287\) 1130.71 + 1958.46i 0.232557 + 0.402801i
\(288\) 289.249 + 4753.24i 0.0591812 + 0.972526i
\(289\) 1762.17 3052.16i 0.358675 0.621243i
\(290\) −613.580 + 3479.78i −0.124244 + 0.704620i
\(291\) −3400.49 801.264i −0.685019 0.161412i
\(292\) −431.551 157.072i −0.0864885 0.0314792i
\(293\) 8.63729 + 48.9845i 0.00172217 + 0.00976691i 0.985657 0.168763i \(-0.0539771\pi\)
−0.983935 + 0.178529i \(0.942866\pi\)
\(294\) −96.5926 + 1696.43i −0.0191612 + 0.336523i
\(295\) −2230.21 1871.37i −0.440163 0.369341i
\(296\) −1516.64 −0.297815
\(297\) −823.708 4567.23i −0.160931 0.892315i
\(298\) 2446.64 0.475604
\(299\) −5005.33 4199.97i −0.968113 0.812344i
\(300\) 1260.06 634.877i 0.242498 0.122182i
\(301\) −1745.91 9901.52i −0.334327 1.89606i
\(302\) 1517.57 + 552.350i 0.289160 + 0.105246i
\(303\) 6061.04 6441.09i 1.14917 1.22122i
\(304\) 76.4835 433.759i 0.0144297 0.0818349i
\(305\) −360.108 + 623.725i −0.0676056 + 0.117096i
\(306\) −1782.42 + 427.339i −0.332987 + 0.0798345i
\(307\) 3322.84 + 5755.33i 0.617734 + 1.06995i 0.989898 + 0.141780i \(0.0452826\pi\)
−0.372164 + 0.928167i \(0.621384\pi\)
\(308\) 3326.26 1210.66i 0.615360 0.223973i
\(309\) 2521.23 + 3377.43i 0.464168 + 0.621796i
\(310\) 1515.57 1271.72i 0.277673 0.232996i
\(311\) 84.6237 71.0077i 0.0154295 0.0129469i −0.635040 0.772479i \(-0.719017\pi\)
0.650470 + 0.759532i \(0.274572\pi\)
\(312\) 3234.22 7524.64i 0.586864 1.36538i
\(313\) −308.806 + 112.396i −0.0557660 + 0.0202972i −0.369753 0.929130i \(-0.620558\pi\)
0.313987 + 0.949427i \(0.398335\pi\)
\(314\) 1273.24 + 2205.32i 0.228832 + 0.396348i
\(315\) 8295.14 + 947.704i 1.48374 + 0.169514i
\(316\) −1430.41 + 2477.55i −0.254643 + 0.441054i
\(317\) −1461.01 + 8285.81i −0.258860 + 1.46807i 0.527107 + 0.849799i \(0.323277\pi\)
−0.785967 + 0.618268i \(0.787835\pi\)
\(318\) 106.214 + 353.107i 0.0187301 + 0.0622681i
\(319\) 4456.87 + 1622.17i 0.782246 + 0.284714i
\(320\) −841.872 4774.49i −0.147069 0.834069i
\(321\) −1706.98 1119.52i −0.296805 0.194659i
\(322\) −3054.87 2563.34i −0.528699 0.443632i
\(323\) −3541.24 −0.610031
\(324\) 2860.96 + 1860.44i 0.490563 + 0.319005i
\(325\) −3957.62 −0.675475
\(326\) −179.729 150.810i −0.0305345 0.0256215i
\(327\) 3682.42 + 2415.11i 0.622747 + 0.408428i
\(328\) −396.877 2250.80i −0.0668106 0.378902i
\(329\) −5745.26 2091.10i −0.962755 0.350414i
\(330\) 1220.17 + 4056.45i 0.203540 + 0.676668i
\(331\) 679.775 3855.20i 0.112882 0.640183i −0.874896 0.484311i \(-0.839070\pi\)
0.987777 0.155872i \(-0.0498187\pi\)
\(332\) 2010.40 3482.12i 0.332335 0.575621i
\(333\) −1054.80 + 1424.56i −0.173581 + 0.234430i
\(334\) 83.8241 + 145.188i 0.0137325 + 0.0237854i
\(335\) 13165.0 4791.66i 2.14710 0.781482i
\(336\) 217.389 505.772i 0.0352963 0.0821195i
\(337\) 543.442 456.002i 0.0878433 0.0737092i −0.597809 0.801639i \(-0.703962\pi\)
0.685652 + 0.727930i \(0.259517\pi\)
\(338\) −3430.46 + 2878.49i −0.552048 + 0.463223i
\(339\) 4975.36 + 6664.96i 0.797123 + 1.06782i
\(340\) −2217.60 + 807.140i −0.353724 + 0.128745i
\(341\) −1327.81 2299.83i −0.210865 0.365229i
\(342\) −3216.44 3391.51i −0.508553 0.536234i
\(343\) 1868.63 3236.56i 0.294159 0.509498i
\(344\) −1764.51 + 10007.0i −0.276558 + 1.56844i
\(345\) −4613.19 + 4902.46i −0.719902 + 0.765042i
\(346\) 5205.80 + 1894.76i 0.808860 + 0.294401i
\(347\) −1579.56 8958.10i −0.244366 1.38587i −0.821961 0.569544i \(-0.807120\pi\)
0.577595 0.816324i \(-0.303991\pi\)
\(348\) −3114.65 + 1569.31i −0.479779 + 0.241736i
\(349\) 4854.19 + 4073.15i 0.744525 + 0.624730i 0.934049 0.357146i \(-0.116250\pi\)
−0.189524 + 0.981876i \(0.560695\pi\)
\(350\) −2415.43 −0.368886
\(351\) −4818.42 8271.08i −0.732731 1.25777i
\(352\) −5834.27 −0.883431
\(353\) 7164.39 + 6011.64i 1.08023 + 0.906423i 0.995940 0.0900179i \(-0.0286924\pi\)
0.0842929 + 0.996441i \(0.473137\pi\)
\(354\) −115.806 + 2033.87i −0.0173871 + 0.305365i
\(355\) −695.731 3945.69i −0.104016 0.589902i
\(356\) 5838.11 + 2124.90i 0.869155 + 0.316347i
\(357\) −4308.15 1015.14i −0.638688 0.150495i
\(358\) −114.246 + 647.922i −0.0168662 + 0.0956530i
\(359\) −5947.18 + 10300.8i −0.874318 + 1.51436i −0.0168303 + 0.999858i \(0.505357\pi\)
−0.857488 + 0.514505i \(0.827976\pi\)
\(360\) −7550.35 3767.37i −1.10538 0.551550i
\(361\) −1085.77 1880.61i −0.158299 0.274181i
\(362\) 1891.39 688.410i 0.274611 0.0999503i
\(363\) −1221.69 + 144.405i −0.176645 + 0.0208797i
\(364\) 5592.86 4692.97i 0.805345 0.675765i
\(365\) 1016.63 853.058i 0.145789 0.122332i
\(366\) 500.476 59.1570i 0.0714762 0.00844859i
\(367\) −7632.93 + 2778.16i −1.08566 + 0.395146i −0.822010 0.569473i \(-0.807147\pi\)
−0.263646 + 0.964620i \(0.584925\pi\)
\(368\) 221.933 + 384.399i 0.0314376 + 0.0544515i
\(369\) −2390.16 1192.61i −0.337200 0.168251i
\(370\) 808.949 1401.14i 0.113663 0.196870i
\(371\) −154.619 + 876.891i −0.0216373 + 0.122711i
\(372\) 1900.74 + 447.875i 0.264916 + 0.0624226i
\(373\) −8716.19 3172.43i −1.20994 0.440382i −0.343256 0.939242i \(-0.611530\pi\)
−0.866683 + 0.498860i \(0.833752\pi\)
\(374\) −389.951 2211.52i −0.0539142 0.305762i
\(375\) 267.708 4701.68i 0.0368650 0.647449i
\(376\) 4733.48 + 3971.86i 0.649230 + 0.544769i
\(377\) 9782.59 1.33642
\(378\) −2940.80 5048.03i −0.400154 0.686885i
\(379\) 1420.08 0.192466 0.0962329 0.995359i \(-0.469321\pi\)
0.0962329 + 0.995359i \(0.469321\pi\)
\(380\) −4610.09 3868.33i −0.622349 0.522213i
\(381\) −11701.1 + 5895.56i −1.57339 + 0.792752i
\(382\) 1140.40 + 6467.51i 0.152743 + 0.866248i
\(383\) −6548.68 2383.52i −0.873686 0.317996i −0.134027 0.990978i \(-0.542791\pi\)
−0.739659 + 0.672982i \(0.765013\pi\)
\(384\) 2699.52 2868.79i 0.358749 0.381243i
\(385\) −1776.25 + 10073.6i −0.235133 + 1.33350i
\(386\) 2891.64 5008.47i 0.381297 0.660425i
\(387\) 8172.23 + 8617.06i 1.07343 + 1.13186i
\(388\) 1573.73 + 2725.79i 0.205913 + 0.356652i
\(389\) 9602.42 3495.00i 1.25157 0.455536i 0.370641 0.928776i \(-0.379138\pi\)
0.880933 + 0.473241i \(0.156916\pi\)
\(390\) 5226.52 + 7001.41i 0.678603 + 0.909052i
\(391\) 2733.78 2293.91i 0.353588 0.296696i
\(392\) 3176.69 2665.56i 0.409303 0.343446i
\(393\) 1787.68 4159.17i 0.229457 0.533848i
\(394\) −361.443 + 131.554i −0.0462163 + 0.0168214i
\(395\) −4133.58 7159.57i −0.526539 0.911992i
\(396\) −2488.04 + 3360.23i −0.315729 + 0.426408i
\(397\) −6593.97 + 11421.1i −0.833607 + 1.44385i 0.0615530 + 0.998104i \(0.480395\pi\)
−0.895160 + 0.445745i \(0.852939\pi\)
\(398\) 362.983 2058.58i 0.0457153 0.259264i
\(399\) −3251.24 10808.7i −0.407934 1.35617i
\(400\) 252.634 + 91.9513i 0.0315793 + 0.0114939i
\(401\) −645.740 3662.17i −0.0804158 0.456061i −0.998252 0.0591013i \(-0.981177\pi\)
0.917836 0.396959i \(-0.129935\pi\)
\(402\) −8197.46 5376.30i −1.01704 0.667028i
\(403\) −4195.95 3520.82i −0.518648 0.435197i
\(404\) −7968.10 −0.981257
\(405\) −8789.75 + 4471.77i −1.07843 + 0.548652i
\(406\) 5970.54 0.729835
\(407\) −1663.60 1395.92i −0.202608 0.170008i
\(408\) 3740.58 + 2453.26i 0.453888 + 0.297682i
\(409\) 2115.28 + 11996.3i 0.255730 + 1.45032i 0.794191 + 0.607668i \(0.207895\pi\)
−0.538461 + 0.842650i \(0.680994\pi\)
\(410\) 2291.08 + 833.883i 0.275971 + 0.100445i
\(411\) 3865.02 + 12849.2i 0.463862 + 1.54211i
\(412\) 659.358 3739.41i 0.0788452 0.447154i
\(413\) −2459.66 + 4260.26i −0.293056 + 0.507588i
\(414\) 4679.96 + 534.676i 0.555573 + 0.0634732i
\(415\) 5809.62 + 10062.6i 0.687188 + 1.19024i
\(416\) −11307.9 + 4115.75i −1.33273 + 0.485075i
\(417\) 1568.82 3649.98i 0.184234 0.428634i
\(418\) 4386.85 3681.00i 0.513320 0.430726i
\(419\) 3707.73 3111.15i 0.432301 0.362744i −0.400518 0.916289i \(-0.631170\pi\)
0.832819 + 0.553545i \(0.186725\pi\)
\(420\) −4499.58 6027.61i −0.522755 0.700279i
\(421\) 14361.4 5227.11i 1.66254 0.605116i 0.671783 0.740748i \(-0.265529\pi\)
0.990759 + 0.135633i \(0.0433067\pi\)
\(422\) 349.916 + 606.072i 0.0403640 + 0.0699126i
\(423\) 7022.74 1683.72i 0.807228 0.193535i
\(424\) 449.953 779.341i 0.0515369 0.0892645i
\(425\) 375.348 2128.71i 0.0428402 0.242959i
\(426\) −1921.25 + 2041.71i −0.218509 + 0.232210i
\(427\) 1143.57 + 416.224i 0.129604 + 0.0471721i
\(428\) 319.354 + 1811.15i 0.0360668 + 0.204545i
\(429\) 10473.3 5276.95i 1.17868 0.593878i
\(430\) −8303.77 6967.69i −0.931263 0.781422i
\(431\) 12236.8 1.36757 0.683786 0.729683i \(-0.260332\pi\)
0.683786 + 0.729683i \(0.260332\pi\)
\(432\) 115.413 + 639.934i 0.0128538 + 0.0712705i
\(433\) 6472.96 0.718407 0.359204 0.933259i \(-0.383048\pi\)
0.359204 + 0.933259i \(0.383048\pi\)
\(434\) −2560.88 2148.84i −0.283240 0.237667i
\(435\) 572.934 10062.3i 0.0631496 1.10908i
\(436\) −688.934 3907.14i −0.0756742 0.429170i
\(437\) 8551.72 + 3112.57i 0.936119 + 0.340720i
\(438\) −903.881 212.983i −0.0986053 0.0232345i
\(439\) 1320.49 7488.84i 0.143561 0.814176i −0.824950 0.565206i \(-0.808797\pi\)
0.968511 0.248970i \(-0.0800920\pi\)
\(440\) 5169.01 8952.98i 0.560052 0.970038i
\(441\) −294.385 4837.64i −0.0317877 0.522367i
\(442\) −2315.90 4011.26i −0.249222 0.431666i
\(443\) 3417.36 1243.82i 0.366510 0.133399i −0.152199 0.988350i \(-0.548635\pi\)
0.518708 + 0.854951i \(0.326413\pi\)
\(444\) 1585.89 187.454i 0.169511 0.0200364i
\(445\) −13753.2 + 11540.3i −1.46509 + 1.22936i
\(446\) −155.730 + 130.673i −0.0165337 + 0.0138734i
\(447\) −6930.35 + 819.178i −0.733321 + 0.0866796i
\(448\) −7697.94 + 2801.82i −0.811816 + 0.295477i
\(449\) 1687.18 + 2922.28i 0.177334 + 0.307151i 0.940967 0.338500i \(-0.109919\pi\)
−0.763633 + 0.645651i \(0.776586\pi\)
\(450\) 2379.62 1573.98i 0.249281 0.164885i
\(451\) 1636.31 2834.18i 0.170845 0.295912i
\(452\) 1301.17 7379.29i 0.135402 0.767904i
\(453\) −4483.60 1056.48i −0.465029 0.109575i
\(454\) −7211.21 2624.67i −0.745461 0.271325i
\(455\) 3663.66 + 20777.6i 0.377483 + 2.14081i
\(456\) −648.473 + 11388.9i −0.0665955 + 1.16960i
\(457\) 4640.94 + 3894.21i 0.475042 + 0.398607i 0.848630 0.528988i \(-0.177428\pi\)
−0.373588 + 0.927595i \(0.621873\pi\)
\(458\) −3737.46 −0.381310
\(459\) 4905.80 1807.27i 0.498874 0.183782i
\(460\) 6064.70 0.614713
\(461\) −6611.58 5547.78i −0.667966 0.560490i 0.244497 0.969650i \(-0.421377\pi\)
−0.912462 + 0.409160i \(0.865822\pi\)
\(462\) 6392.09 3220.64i 0.643695 0.324324i
\(463\) −364.101 2064.92i −0.0365469 0.207268i 0.961066 0.276318i \(-0.0891143\pi\)
−0.997613 + 0.0690501i \(0.978003\pi\)
\(464\) −624.470 227.289i −0.0624791 0.0227405i
\(465\) −3867.22 + 4109.71i −0.385673 + 0.409856i
\(466\) −1374.78 + 7796.77i −0.136664 + 0.775061i
\(467\) −8814.78 + 15267.6i −0.873446 + 1.51285i −0.0150374 + 0.999887i \(0.504787\pi\)
−0.858409 + 0.512966i \(0.828547\pi\)
\(468\) −2451.85 + 8267.93i −0.242172 + 0.816635i
\(469\) −11836.3 20501.1i −1.16535 2.01845i
\(470\) −6194.13 + 2254.48i −0.607902 + 0.221258i
\(471\) −4344.96 5820.48i −0.425064 0.569413i
\(472\) 3808.58 3195.77i 0.371407 0.311647i
\(473\) −11146.0 + 9352.58i −1.08349 + 0.909159i
\(474\) −2284.34 + 5314.69i −0.221357 + 0.515004i
\(475\) 5179.75 1885.27i 0.500343 0.182110i
\(476\) 1993.79 + 3453.35i 0.191986 + 0.332530i
\(477\) −419.087 964.649i −0.0402279 0.0925959i
\(478\) 1342.41 2325.12i 0.128453 0.222487i
\(479\) 122.310 693.656i 0.0116670 0.0661669i −0.978418 0.206634i \(-0.933749\pi\)
0.990085 + 0.140467i \(0.0448603\pi\)
\(480\) 3571.15 + 11872.3i 0.339583 + 1.12894i
\(481\) −4209.11 1531.99i −0.399000 0.145224i
\(482\) −945.352 5361.36i −0.0893353 0.506646i
\(483\) 9511.48 + 6238.10i 0.896040 + 0.587667i
\(484\) 849.010 + 712.404i 0.0797343 + 0.0669050i
\(485\) −9095.48 −0.851555
\(486\) 6186.69 + 3056.87i 0.577436 + 0.285314i
\(487\) −15835.5 −1.47346 −0.736731 0.676185i \(-0.763632\pi\)
−0.736731 + 0.676185i \(0.763632\pi\)
\(488\) −942.176 790.580i −0.0873982 0.0733358i
\(489\) 559.594 + 367.009i 0.0517499 + 0.0339401i
\(490\) 768.171 + 4356.52i 0.0708213 + 0.401648i
\(491\) −1427.12 519.427i −0.131171 0.0477422i 0.275601 0.961272i \(-0.411123\pi\)
−0.406771 + 0.913530i \(0.633345\pi\)
\(492\) 693.192 + 2304.51i 0.0635193 + 0.211169i
\(493\) −927.800 + 5261.82i −0.0847586 + 0.480690i
\(494\) 5905.80 10229.1i 0.537884 0.931642i
\(495\) −4814.43 11081.8i −0.437157 1.00624i
\(496\) 186.045 + 322.239i 0.0168421 + 0.0291713i
\(497\) −6361.66 + 2315.45i −0.574163 + 0.208978i
\(498\) 3210.57 7469.64i 0.288894 0.672133i
\(499\) −1815.24 + 1523.16i −0.162848 + 0.136646i −0.720570 0.693382i \(-0.756120\pi\)
0.557722 + 0.830028i \(0.311675\pi\)
\(500\) −3250.09 + 2727.15i −0.290696 + 0.243923i
\(501\) −286.052 383.193i −0.0255087 0.0341712i
\(502\) 4281.32 1558.27i 0.380647 0.138544i
\(503\) 3378.26 + 5851.33i 0.299462 + 0.518683i 0.976013 0.217712i \(-0.0698595\pi\)
−0.676551 + 0.736396i \(0.736526\pi\)
\(504\) −4053.68 + 13669.5i −0.358265 + 1.20811i
\(505\) 11513.0 19941.1i 1.01450 1.75717i
\(506\) −1002.13 + 5683.34i −0.0880434 + 0.499319i
\(507\) 8753.34 9302.20i 0.766765 0.814843i
\(508\) 11092.3 + 4037.26i 0.968781 + 0.352607i
\(509\) −402.623 2283.39i −0.0350608 0.198840i 0.962246 0.272181i \(-0.0877449\pi\)
−0.997307 + 0.0733413i \(0.976634\pi\)
\(510\) −4261.58 + 2147.19i −0.370011 + 0.186430i
\(511\) −1717.82 1441.42i −0.148712 0.124784i
\(512\) 1674.06 0.144500
\(513\) 10246.4 + 8529.88i 0.881853 + 0.734120i
\(514\) −7866.34 −0.675038
\(515\) 8405.61 + 7053.15i 0.719215 + 0.603493i
\(516\) 608.220 10682.0i 0.0518903 0.911334i
\(517\) 1536.41 + 8713.42i 0.130699 + 0.741230i
\(518\) −2568.92 935.009i −0.217899 0.0793088i
\(519\) −15380.4 3624.10i −1.30081 0.306513i
\(520\) 3702.69 20999.0i 0.312257 1.77090i
\(521\) 8391.50 14534.5i 0.705640 1.22220i −0.260821 0.965387i \(-0.583993\pi\)
0.966460 0.256816i \(-0.0826736\pi\)
\(522\) −5882.04 + 3890.63i −0.493199 + 0.326223i
\(523\) −8351.57 14465.3i −0.698257 1.20942i −0.969070 0.246785i \(-0.920626\pi\)
0.270813 0.962632i \(-0.412707\pi\)
\(524\) −3832.56 + 1394.94i −0.319516 + 0.116294i
\(525\) 6841.94 808.727i 0.568775 0.0672300i
\(526\) −4592.01 + 3853.15i −0.380649 + 0.319402i
\(527\) 2291.71 1922.98i 0.189428 0.158949i
\(528\) −791.166 + 93.5169i −0.0652104 + 0.00770796i
\(529\) 2815.23 1024.66i 0.231382 0.0842163i
\(530\) 479.992 + 831.371i 0.0393388 + 0.0681367i
\(531\) −352.943 5799.92i −0.0288445 0.474002i
\(532\) −5084.39 + 8806.42i −0.414354 + 0.717682i
\(533\) 1172.13 6647.50i 0.0952547 0.540216i
\(534\) 12227.9 + 2881.27i 0.990921 + 0.233492i
\(535\) −4994.05 1817.68i −0.403573 0.146889i
\(536\) 4154.52 + 23561.4i 0.334791 + 1.89869i
\(537\) 106.678 1873.56i 0.00857263 0.150559i
\(538\) 7163.55 + 6010.93i 0.574057 + 0.481691i
\(539\) 5937.87 0.474513
\(540\) 8360.71 + 3006.17i 0.666273 + 0.239565i
\(541\) 19710.2 1.56637 0.783185 0.621789i \(-0.213594\pi\)
0.783185 + 0.621789i \(0.213594\pi\)
\(542\) 3085.35 + 2588.91i 0.244515 + 0.205172i
\(543\) −5127.06 + 2583.26i −0.405200 + 0.204159i
\(544\) −1141.29 6472.60i −0.0899496 0.510129i
\(545\) 10773.5 + 3921.24i 0.846765 + 0.308197i
\(546\) 10117.1 10751.5i 0.792989 0.842712i
\(547\) −219.790 + 1246.49i −0.0171801 + 0.0974333i −0.992192 0.124719i \(-0.960197\pi\)
0.975012 + 0.222152i \(0.0713082\pi\)
\(548\) 6044.24 10468.9i 0.471162 0.816077i
\(549\) −1397.84 + 335.136i −0.108667 + 0.0260533i
\(550\) 1747.74 + 3027.18i 0.135498 + 0.234690i
\(551\) −12803.5 + 4660.09i −0.989922 + 0.360302i
\(552\) −6876.81 9212.13i −0.530247 0.710316i
\(553\) −10701.0 + 8979.18i −0.822878 + 0.690477i
\(554\) −512.535 + 430.068i −0.0393060 + 0.0329817i
\(555\) −1822.30 + 4239.72i −0.139374 + 0.324264i
\(556\) −3363.36 + 1224.16i −0.256544 + 0.0933743i
\(557\) −9473.52 16408.6i −0.720657 1.24821i −0.960737 0.277462i \(-0.910507\pi\)
0.240080 0.970753i \(-0.422826\pi\)
\(558\) 3923.19 + 448.216i 0.297638 + 0.0340045i
\(559\) −15005.3 + 25989.9i −1.13534 + 1.96647i
\(560\) 248.878 1411.46i 0.0187804 0.106509i
\(561\) 1845.03 + 6133.80i 0.138854 + 0.461621i
\(562\) 9052.29 + 3294.76i 0.679444 + 0.247298i
\(563\) −1466.16 8315.02i −0.109754 0.622444i −0.989215 0.146473i \(-0.953208\pi\)
0.879461 0.475971i \(-0.157903\pi\)
\(564\) −5440.50 3568.15i −0.406182 0.266394i
\(565\) 16587.5 + 13918.6i 1.23512 + 1.03639i
\(566\) 250.574 0.0186085
\(567\) 10020.3 + 13314.4i 0.742172 + 0.986161i
\(568\) 6842.07 0.505434
\(569\) −8275.59 6944.05i −0.609720 0.511616i 0.284833 0.958577i \(-0.408062\pi\)
−0.894553 + 0.446961i \(0.852506\pi\)
\(570\) −10175.7 6673.73i −0.747743 0.490407i
\(571\) −2095.03 11881.5i −0.153545 0.870799i −0.960104 0.279644i \(-0.909783\pi\)
0.806558 0.591155i \(-0.201328\pi\)
\(572\) −9928.40 3613.64i −0.725747 0.264150i
\(573\) −5395.73 17938.1i −0.393385 1.30781i
\(574\) 715.380 4057.12i 0.0520198 0.295019i
\(575\) −2777.45 + 4810.69i −0.201440 + 0.348903i
\(576\) 5758.06 7776.56i 0.416527 0.562540i
\(577\) 258.925 + 448.472i 0.0186815 + 0.0323572i 0.875215 0.483734i \(-0.160720\pi\)
−0.856534 + 0.516091i \(0.827386\pi\)
\(578\) −6033.19 + 2195.90i −0.434165 + 0.158023i
\(579\) −6513.94 + 15155.2i −0.467548 + 1.08778i
\(580\) −6955.66 + 5836.49i −0.497962 + 0.417840i
\(581\) 15039.9 12620.0i 1.07394 0.901143i
\(582\) 3807.21 + 5100.11i 0.271158 + 0.363241i
\(583\) 1210.86 440.716i 0.0860182 0.0313081i
\(584\) 1133.18 + 1962.72i 0.0802930 + 0.139072i
\(585\) −17148.8 18082.3i −1.21200 1.27797i
\(586\) 45.3065 78.4732i 0.00319385 0.00553191i
\(587\) 3065.55 17385.6i 0.215551 1.22245i −0.664395 0.747381i \(-0.731311\pi\)
0.879947 0.475072i \(-0.157578\pi\)
\(588\) −2992.26 + 3179.89i −0.209862 + 0.223021i
\(589\) 7168.86 + 2609.25i 0.501507 + 0.182534i
\(590\) 920.972 + 5223.09i 0.0642641 + 0.364460i
\(591\) 979.776 493.658i 0.0681939 0.0343594i
\(592\) 233.094 + 195.589i 0.0161826 + 0.0135788i
\(593\) 12632.6 0.874803 0.437402 0.899266i \(-0.355899\pi\)
0.437402 + 0.899266i \(0.355899\pi\)
\(594\) −4198.65 + 7338.23i −0.290021 + 0.506888i
\(595\) −11523.2 −0.793961
\(596\) 4816.23 + 4041.30i 0.331008 + 0.277748i
\(597\) −338.938 + 5952.67i −0.0232359 + 0.408085i
\(598\) 2066.96 + 11722.3i 0.141345 + 0.801608i
\(599\) −17619.6 6413.02i −1.20187 0.437444i −0.337992 0.941149i \(-0.609748\pi\)
−0.863876 + 0.503705i \(0.831970\pi\)
\(600\) −6777.38 1596.96i −0.461142 0.108660i
\(601\) −4240.01 + 24046.3i −0.287777 + 1.63206i 0.407419 + 0.913241i \(0.366429\pi\)
−0.695195 + 0.718821i \(0.744682\pi\)
\(602\) −9158.07 + 15862.2i −0.620025 + 1.07392i
\(603\) 25020.2 + 12484.2i 1.68972 + 0.843114i
\(604\) 2074.99 + 3593.99i 0.139785 + 0.242115i
\(605\) −3009.60 + 1095.41i −0.202244 + 0.0736109i
\(606\) −16000.7 + 1891.31i −1.07258 + 0.126781i
\(607\) 5490.91 4607.42i 0.367165 0.308088i −0.440474 0.897765i \(-0.645190\pi\)
0.807639 + 0.589677i \(0.200745\pi\)
\(608\) 12839.2 10773.4i 0.856415 0.718617i
\(609\) −16912.2 + 1999.04i −1.12531 + 0.133014i
\(610\) 1232.91 448.743i 0.0818346 0.0297853i
\(611\) 9124.68 + 15804.4i 0.604165 + 1.04644i
\(612\) −4214.58 2102.93i −0.278373 0.138899i
\(613\) −1526.50 + 2643.98i −0.100579 + 0.174208i −0.911923 0.410361i \(-0.865403\pi\)
0.811344 + 0.584569i \(0.198736\pi\)
\(614\) 2102.29 11922.7i 0.138178 0.783649i
\(615\) −6768.90 1594.97i −0.443819 0.104578i
\(616\) −16414.8 5974.50i −1.07366 0.390779i
\(617\) −2927.83 16604.5i −0.191037 1.08343i −0.917950 0.396696i \(-0.870157\pi\)
0.726913 0.686730i \(-0.240954\pi\)
\(618\) 436.471 7665.61i 0.0284101 0.498958i
\(619\) −10878.3 9127.99i −0.706359 0.592706i 0.217216 0.976124i \(-0.430303\pi\)
−0.923575 + 0.383418i \(0.874747\pi\)
\(620\) 5084.01 0.329321
\(621\) −13435.5 + 52.4081i −0.868192 + 0.00338658i
\(622\) −201.243 −0.0129729
\(623\) 23239.0 + 19499.9i 1.49447 + 1.25401i
\(624\) −1467.46 + 739.376i −0.0941432 + 0.0474339i
\(625\) −3388.06 19214.6i −0.216836 1.22974i
\(626\) 562.561 + 204.755i 0.0359177 + 0.0130730i
\(627\) −11193.7 + 11895.6i −0.712973 + 0.757679i
\(628\) −1136.30 + 6444.30i −0.0722029 + 0.409483i
\(629\) 1223.22 2118.68i 0.0775405 0.134304i
\(630\) −10466.3 11036.0i −0.661887 0.697914i
\(631\) −575.775 997.271i −0.0363252 0.0629172i 0.847291 0.531129i \(-0.178232\pi\)
−0.883616 + 0.468211i \(0.844899\pi\)
\(632\) 13266.6 4828.63i 0.834992 0.303912i
\(633\) −1194.10 1599.60i −0.0749779 0.100440i
\(634\) 11741.4 9852.22i 0.735507 0.617164i
\(635\) −26130.9 + 21926.4i −1.63303 + 1.37027i
\(636\) −374.171 + 870.535i −0.0233283 + 0.0542751i
\(637\) 11508.7 4188.83i 0.715843 0.260546i
\(638\) −4320.13 7482.69i −0.268081 0.464330i
\(639\) 4758.52 6426.63i 0.294592 0.397861i
\(640\) 5127.77 8881.57i 0.316708 0.548554i
\(641\) 469.640 2663.46i 0.0289386 0.164119i −0.966914 0.255104i \(-0.917890\pi\)
0.995852 + 0.0909847i \(0.0290014\pi\)
\(642\) 1071.19 + 3561.16i 0.0658512 + 0.218922i
\(643\) 24775.5 + 9017.56i 1.51952 + 0.553060i 0.961028 0.276449i \(-0.0891578\pi\)
0.558492 + 0.829510i \(0.311380\pi\)
\(644\) −1779.48 10091.9i −0.108884 0.617511i
\(645\) 25854.2 + 16956.4i 1.57830 + 1.03513i
\(646\) 4941.89 + 4146.74i 0.300984 + 0.252556i
\(647\) 1482.35 0.0900730 0.0450365 0.998985i \(-0.485660\pi\)
0.0450365 + 0.998985i \(0.485660\pi\)
\(648\) −4913.98 16108.4i −0.297900 0.976541i
\(649\) 7119.00 0.430578
\(650\) 5522.96 + 4634.31i 0.333274 + 0.279650i
\(651\) 7973.43 + 5229.37i 0.480036 + 0.314831i
\(652\) −104.693 593.743i −0.00628849 0.0356638i
\(653\) 24577.9 + 8945.62i 1.47291 + 0.536094i 0.948888 0.315614i \(-0.102210\pi\)
0.524017 + 0.851708i \(0.324433\pi\)
\(654\) −2310.85 7682.40i −0.138167 0.459336i
\(655\) 2046.62 11607.0i 0.122089 0.692401i
\(656\) −229.271 + 397.109i −0.0136456 + 0.0236349i
\(657\) 2631.64 + 300.660i 0.156271 + 0.0178537i
\(658\) 5569.00 + 9645.79i 0.329943 + 0.571477i
\(659\) −20569.7 + 7486.74i −1.21590 + 0.442552i −0.868748 0.495255i \(-0.835075\pi\)
−0.347155 + 0.937808i \(0.612852\pi\)
\(660\) −4298.43 + 10000.6i −0.253509 + 0.589808i
\(661\) 10340.3 8676.53i 0.608457 0.510556i −0.285694 0.958321i \(-0.592224\pi\)
0.894152 + 0.447765i \(0.147780\pi\)
\(662\) −5463.02 + 4584.01i −0.320734 + 0.269128i
\(663\) 7903.07 + 10586.9i 0.462941 + 0.620153i
\(664\) −18645.7 + 6786.49i −1.08975 + 0.396637i
\(665\) −14692.7 25448.6i −0.856782 1.48399i
\(666\) 3140.13 752.853i 0.182699 0.0438025i
\(667\) 6865.41 11891.2i 0.398545 0.690300i
\(668\) −74.8088 + 424.262i −0.00433299 + 0.0245736i
\(669\) 397.369 422.285i 0.0229644 0.0244043i
\(670\) −23983.0 8729.10i −1.38290 0.503335i
\(671\) −305.815 1734.36i −0.0175944 0.0997830i
\(672\) 18708.1 9426.05i 1.07393 0.541098i
\(673\) −24852.9 20854.0i −1.42349 1.19445i −0.949440 0.313950i \(-0.898348\pi\)
−0.474048 0.880499i \(-0.657208\pi\)
\(674\) −1292.36 −0.0738572
\(675\) −6213.53 + 5255.21i −0.354309 + 0.299664i
\(676\) −11507.5 −0.654729
\(677\) 23449.7 + 19676.7i 1.33124 + 1.11704i 0.983787 + 0.179341i \(0.0573964\pi\)
0.347449 + 0.937699i \(0.387048\pi\)
\(678\) 861.325 15127.2i 0.0487890 0.856868i
\(679\) 2668.76 + 15135.3i 0.150836 + 0.855432i
\(680\) 10943.7 + 3983.17i 0.617163 + 0.224629i
\(681\) 21305.3 + 5020.20i 1.19885 + 0.282488i
\(682\) −840.078 + 4764.32i −0.0471675 + 0.267500i
\(683\) −2113.19 + 3660.16i −0.118388 + 0.205054i −0.919129 0.393957i \(-0.871106\pi\)
0.800741 + 0.599011i \(0.204439\pi\)
\(684\) −729.571 11989.1i −0.0407834 0.670195i
\(685\) 17466.5 + 30252.9i 0.974249 + 1.68745i
\(686\) −6397.68 + 2328.56i −0.356071 + 0.129599i
\(687\) 10586.7 1251.37i 0.587932 0.0694944i
\(688\) 1561.71 1310.43i 0.0865402 0.0726158i
\(689\) 2035.97 1708.38i 0.112575 0.0944618i
\(690\) 12178.5 1439.52i 0.671925 0.0794225i
\(691\) −25403.6 + 9246.16i −1.39855 + 0.509031i −0.927748 0.373207i \(-0.878258\pi\)
−0.470803 + 0.882238i \(0.656036\pi\)
\(692\) 7117.96 + 12328.7i 0.391018 + 0.677262i
\(693\) −17027.9 + 11263.0i −0.933387 + 0.617382i
\(694\) −8285.49 + 14350.9i −0.453188 + 0.784945i
\(695\) 1796.07 10186.0i 0.0980269 0.555938i
\(696\) 16752.6 + 3947.43i 0.912363 + 0.214981i
\(697\) 3464.36 + 1260.92i 0.188267 + 0.0685235i
\(698\) −2004.55 11368.4i −0.108701 0.616474i
\(699\) 1283.71 22545.5i 0.0694627 1.21995i
\(700\) −4754.79 3989.74i −0.256735 0.215426i
\(701\) −19177.6 −1.03328 −0.516640 0.856203i \(-0.672817\pi\)
−0.516640 + 0.856203i \(0.672817\pi\)
\(702\) −2961.07 + 17184.8i −0.159200 + 0.923929i
\(703\) 6238.68 0.334703
\(704\) 9081.47 + 7620.26i 0.486180 + 0.407954i
\(705\) 16790.7 8459.94i 0.896982 0.451943i
\(706\) −2958.55 16778.8i −0.157715 0.894445i
\(707\) −36561.0 13307.1i −1.94486 0.707872i
\(708\) −3587.47 + 3812.41i −0.190431 + 0.202372i
\(709\) 2742.29 15552.3i 0.145259 0.823807i −0.821899 0.569633i \(-0.807085\pi\)
0.967159 0.254174i \(-0.0818035\pi\)
\(710\) −3649.43 + 6320.99i −0.192902 + 0.334116i
\(711\) 4691.18 15819.2i 0.247444 0.834413i
\(712\) −15329.8 26552.0i −0.806895 1.39758i
\(713\) −7224.44 + 2629.48i −0.379463 + 0.138113i
\(714\) 4823.43 + 6461.43i 0.252818 + 0.338674i
\(715\) 23389.0 19625.7i 1.22336 1.02652i
\(716\) −1295.12 + 1086.73i −0.0675989 + 0.0567222i
\(717\) −3024.02 + 7035.61i −0.157509 + 0.366457i
\(718\) 20361.5 7410.99i 1.05834 0.385203i
\(719\) 4886.52 + 8463.70i 0.253458 + 0.439002i 0.964476 0.264172i \(-0.0850986\pi\)
−0.711017 + 0.703174i \(0.751765\pi\)
\(720\) 674.570 + 1552.71i 0.0349163 + 0.0803698i
\(721\) 9270.40 16056.8i 0.478846 0.829385i
\(722\) −686.944 + 3895.85i −0.0354092 + 0.200815i
\(723\) 4472.88 + 14870.1i 0.230081 + 0.764902i
\(724\) 4860.32 + 1769.01i 0.249492 + 0.0908077i
\(725\) −1444.18 8190.36i −0.0739801 0.419562i
\(726\) 1873.99 + 1229.06i 0.0957995 + 0.0628300i
\(727\) −3279.14 2751.53i −0.167286 0.140369i 0.555302 0.831649i \(-0.312603\pi\)
−0.722587 + 0.691280i \(0.757047\pi\)
\(728\) −36029.7 −1.83427
\(729\) −18547.9 6587.48i −0.942332 0.334679i
\(730\) −2417.66 −0.122577
\(731\) −12556.2 10535.9i −0.635305 0.533084i
\(732\) 1082.91 + 710.223i 0.0546794 + 0.0358615i
\(733\) 2247.05 + 12743.6i 0.113229 + 0.642152i 0.987612 + 0.156916i \(0.0501551\pi\)
−0.874383 + 0.485236i \(0.838734\pi\)
\(734\) 13905.1 + 5061.05i 0.699247 + 0.254505i
\(735\) −3634.56 12083.1i −0.182398 0.606382i
\(736\) −2932.98 + 16633.8i −0.146890 + 0.833056i
\(737\) −17129.0 + 29668.2i −0.856110 + 1.48283i
\(738\) 1939.00 + 4463.15i 0.0967148 + 0.222616i
\(739\) 12267.7 + 21248.4i 0.610658 + 1.05769i 0.991130 + 0.132898i \(0.0424283\pi\)
−0.380472 + 0.924793i \(0.624238\pi\)
\(740\) 3906.80 1421.96i 0.194077 0.0706381i
\(741\) −13303.9 + 30952.5i −0.659555 + 1.53450i
\(742\) 1242.60 1042.67i 0.0614788 0.0515869i
\(743\) 9025.21 7573.05i 0.445630 0.373928i −0.392181 0.919888i \(-0.628279\pi\)
0.837811 + 0.545960i \(0.183835\pi\)
\(744\) −5764.80 7722.49i −0.284070 0.380538i
\(745\) −17072.8 + 6213.98i −0.839594 + 0.305587i
\(746\) 8448.79 + 14633.7i 0.414654 + 0.718202i
\(747\) −6593.31 + 22233.5i −0.322941 + 1.08900i
\(748\) 2885.32 4997.52i 0.141040 0.244288i
\(749\) −1559.37 + 8843.65i −0.0760724 + 0.431428i
\(750\) −5879.18 + 6247.82i −0.286236 + 0.304184i
\(751\) −26050.6 9481.64i −1.26578 0.460706i −0.380075 0.924956i \(-0.624102\pi\)
−0.885704 + 0.464250i \(0.846324\pi\)
\(752\) −215.273 1220.87i −0.0104391 0.0592031i
\(753\) −11605.5 + 5847.43i −0.561659 + 0.282991i
\(754\) −13651.9 11455.3i −0.659378 0.553284i
\(755\) −11992.5 −0.578083
\(756\) 2549.23 14794.6i 0.122638 0.711740i
\(757\) −8933.57 −0.428925 −0.214462 0.976732i \(-0.568800\pi\)
−0.214462 + 0.976732i \(0.568800\pi\)
\(758\) −1981.75 1662.89i −0.0949611 0.0796818i
\(759\) 935.742 16434.2i 0.0447501 0.785932i
\(760\) 5157.11 + 29247.4i 0.246142 + 1.39594i
\(761\) 10348.9 + 3766.69i 0.4