Properties

Label 27.4.e.a.16.5
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 16.5
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.644303 + 0.540635i) q^{2} +(0.739495 - 5.14326i) q^{3} +(-1.26634 - 7.18180i) q^{4} +(10.1642 + 3.69948i) q^{5} +(3.25709 - 2.91402i) q^{6} +(-4.63497 + 26.2862i) q^{7} +(6.43113 - 11.1390i) q^{8} +(-25.9063 - 7.60683i) q^{9} +O(q^{10})\) \(q+(0.644303 + 0.540635i) q^{2} +(0.739495 - 5.14326i) q^{3} +(-1.26634 - 7.18180i) q^{4} +(10.1642 + 3.69948i) q^{5} +(3.25709 - 2.91402i) q^{6} +(-4.63497 + 26.2862i) q^{7} +(6.43113 - 11.1390i) q^{8} +(-25.9063 - 7.60683i) q^{9} +(4.54878 + 7.87873i) q^{10} +(17.1115 - 6.22807i) q^{11} +(-37.8743 + 1.20224i) q^{12} +(-27.1242 + 22.7599i) q^{13} +(-17.1976 + 14.4305i) q^{14} +(26.5438 - 49.5416i) q^{15} +(-44.6566 + 16.2537i) q^{16} +(56.4726 + 97.8135i) q^{17} +(-12.5790 - 18.9070i) q^{18} +(9.33302 - 16.1653i) q^{19} +(13.6975 - 77.6823i) q^{20} +(131.769 + 43.2774i) q^{21} +(14.3921 + 5.23830i) q^{22} +(-24.1953 - 137.218i) q^{23} +(-52.5352 - 41.3143i) q^{24} +(-6.13000 - 5.14368i) q^{25} -29.7811 q^{26} +(-58.2815 + 127.618i) q^{27} +194.652 q^{28} +(61.6559 + 51.7354i) q^{29} +(43.8862 - 17.5693i) q^{30} +(-42.0656 - 238.566i) q^{31} +(-134.252 - 48.8638i) q^{32} +(-19.3787 - 92.6145i) q^{33} +(-16.4958 + 93.5526i) q^{34} +(-144.356 + 250.032i) q^{35} +(-21.8244 + 195.687i) q^{36} +(-16.7704 - 29.0472i) q^{37} +(14.7528 - 5.36958i) q^{38} +(97.0021 + 156.338i) q^{39} +(106.576 - 89.4281i) q^{40} +(-297.882 + 249.953i) q^{41} +(61.5022 + 99.1229i) q^{42} +(-79.2414 + 28.8415i) q^{43} +(-66.3978 - 115.004i) q^{44} +(-235.176 - 173.157i) q^{45} +(58.5958 - 101.491i) q^{46} +(80.1234 - 454.402i) q^{47} +(50.5735 + 241.700i) q^{48} +(-347.168 - 126.359i) q^{49} +(-1.16873 - 6.62818i) q^{50} +(544.842 - 218.121i) q^{51} +(197.806 + 165.979i) q^{52} +351.057 q^{53} +(-106.546 + 50.7155i) q^{54} +196.966 q^{55} +(262.995 + 220.679i) q^{56} +(-76.2405 - 59.9563i) q^{57} +(11.7551 + 66.6666i) q^{58} +(-47.3108 - 17.2197i) q^{59} +(-389.411 - 127.895i) q^{60} +(-24.6637 + 139.875i) q^{61} +(101.874 - 176.451i) q^{62} +(320.030 - 645.721i) q^{63} +(130.008 + 225.181i) q^{64} +(-359.897 + 130.992i) q^{65} +(37.5848 - 70.1486i) q^{66} +(-79.8993 + 67.0435i) q^{67} +(630.963 - 529.440i) q^{68} +(-723.641 + 22.9704i) q^{69} +(-228.185 + 83.0527i) q^{70} +(161.669 + 280.019i) q^{71} +(-251.340 + 239.651i) q^{72} +(-292.351 + 506.366i) q^{73} +(4.89869 - 27.7819i) q^{74} +(-30.9884 + 27.7245i) q^{75} +(-127.914 - 46.5571i) q^{76} +(84.4012 + 478.663i) q^{77} +(-22.0229 + 153.172i) q^{78} +(-486.977 - 408.622i) q^{79} -514.030 q^{80} +(613.272 + 394.130i) q^{81} -327.060 q^{82} +(740.364 + 621.240i) q^{83} +(143.944 - 1001.14i) q^{84} +(212.142 + 1203.12i) q^{85} +(-66.6483 - 24.2580i) q^{86} +(311.683 - 278.854i) q^{87} +(40.6714 - 230.659i) q^{88} +(233.107 - 403.753i) q^{89} +(-57.9100 - 238.710i) q^{90} +(-472.553 - 818.485i) q^{91} +(-954.833 + 347.531i) q^{92} +(-1258.11 + 39.9361i) q^{93} +(297.289 - 249.455i) q^{94} +(154.666 - 129.780i) q^{95} +(-350.598 + 654.360i) q^{96} +(1569.83 - 571.373i) q^{97} +(-155.367 - 269.104i) q^{98} +(-490.671 + 31.1820i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.644303 + 0.540635i 0.227796 + 0.191143i 0.749541 0.661958i \(-0.230274\pi\)
−0.521745 + 0.853101i \(0.674719\pi\)
\(3\) 0.739495 5.14326i 0.142316 0.989821i
\(4\) −1.26634 7.18180i −0.158293 0.897725i
\(5\) 10.1642 + 3.69948i 0.909117 + 0.330892i 0.753900 0.656989i \(-0.228170\pi\)
0.155217 + 0.987880i \(0.450392\pi\)
\(6\) 3.25709 2.91402i 0.221617 0.198274i
\(7\) −4.63497 + 26.2862i −0.250265 + 1.41932i 0.557676 + 0.830059i \(0.311693\pi\)
−0.807941 + 0.589264i \(0.799418\pi\)
\(8\) 6.43113 11.1390i 0.284219 0.492281i
\(9\) −25.9063 7.60683i −0.959492 0.281735i
\(10\) 4.54878 + 7.87873i 0.143845 + 0.249147i
\(11\) 17.1115 6.22807i 0.469028 0.170712i −0.0966840 0.995315i \(-0.530824\pi\)
0.565712 + 0.824603i \(0.308601\pi\)
\(12\) −37.8743 + 1.20224i −0.911115 + 0.0289214i
\(13\) −27.1242 + 22.7599i −0.578686 + 0.485575i −0.884515 0.466511i \(-0.845511\pi\)
0.305830 + 0.952086i \(0.401066\pi\)
\(14\) −17.1976 + 14.4305i −0.328303 + 0.275479i
\(15\) 26.5438 49.5416i 0.456905 0.852772i
\(16\) −44.6566 + 16.2537i −0.697759 + 0.253963i
\(17\) 56.4726 + 97.8135i 0.805684 + 1.39549i 0.915828 + 0.401570i \(0.131535\pi\)
−0.110145 + 0.993916i \(0.535131\pi\)
\(18\) −12.5790 18.9070i −0.164717 0.247578i
\(19\) 9.33302 16.1653i 0.112692 0.195188i −0.804163 0.594409i \(-0.797386\pi\)
0.916855 + 0.399221i \(0.130719\pi\)
\(20\) 13.6975 77.6823i 0.153143 0.868514i
\(21\) 131.769 + 43.2774i 1.36926 + 0.449710i
\(22\) 14.3921 + 5.23830i 0.139473 + 0.0507640i
\(23\) −24.1953 137.218i −0.219351 1.24400i −0.873196 0.487370i \(-0.837956\pi\)
0.653845 0.756628i \(-0.273155\pi\)
\(24\) −52.5352 41.3143i −0.446821 0.351385i
\(25\) −6.13000 5.14368i −0.0490400 0.0411494i
\(26\) −29.7811 −0.224636
\(27\) −58.2815 + 127.618i −0.415418 + 0.909631i
\(28\) 194.652 1.31378
\(29\) 61.6559 + 51.7354i 0.394800 + 0.331277i 0.818480 0.574535i \(-0.194817\pi\)
−0.423679 + 0.905812i \(0.639262\pi\)
\(30\) 43.8862 17.5693i 0.267083 0.106923i
\(31\) −42.0656 238.566i −0.243716 1.38218i −0.823456 0.567381i \(-0.807957\pi\)
0.579739 0.814802i \(-0.303154\pi\)
\(32\) −134.252 48.8638i −0.741646 0.269937i
\(33\) −19.3787 92.6145i −0.102224 0.488549i
\(34\) −16.4958 + 93.5526i −0.0832063 + 0.471886i
\(35\) −144.356 + 250.032i −0.697162 + 1.20752i
\(36\) −21.8244 + 195.687i −0.101039 + 0.905957i
\(37\) −16.7704 29.0472i −0.0745145 0.129063i 0.826361 0.563141i \(-0.190407\pi\)
−0.900875 + 0.434078i \(0.857074\pi\)
\(38\) 14.7528 5.36958i 0.0629795 0.0229227i
\(39\) 97.0021 + 156.338i 0.398276 + 0.641900i
\(40\) 106.576 89.4281i 0.421279 0.353495i
\(41\) −297.882 + 249.953i −1.13467 + 0.952099i −0.999251 0.0386895i \(-0.987682\pi\)
−0.135416 + 0.990789i \(0.543237\pi\)
\(42\) 61.5022 + 99.1229i 0.225952 + 0.364166i
\(43\) −79.2414 + 28.8415i −0.281028 + 0.102286i −0.478689 0.877985i \(-0.658888\pi\)
0.197661 + 0.980270i \(0.436666\pi\)
\(44\) −66.3978 115.004i −0.227496 0.394035i
\(45\) −235.176 173.157i −0.779067 0.573618i
\(46\) 58.5958 101.491i 0.187815 0.325305i
\(47\) 80.1234 454.402i 0.248664 1.41024i −0.563164 0.826345i \(-0.690416\pi\)
0.811828 0.583897i \(-0.198473\pi\)
\(48\) 50.5735 + 241.700i 0.152076 + 0.726800i
\(49\) −347.168 126.359i −1.01215 0.368393i
\(50\) −1.16873 6.62818i −0.00330566 0.0187473i
\(51\) 544.842 218.121i 1.49594 0.598883i
\(52\) 197.806 + 165.979i 0.527514 + 0.442637i
\(53\) 351.057 0.909838 0.454919 0.890533i \(-0.349668\pi\)
0.454919 + 0.890533i \(0.349668\pi\)
\(54\) −106.546 + 50.7155i −0.268500 + 0.127806i
\(55\) 196.966 0.482888
\(56\) 262.995 + 220.679i 0.627575 + 0.526598i
\(57\) −76.2405 59.9563i −0.177163 0.139323i
\(58\) 11.7551 + 66.6666i 0.0266125 + 0.150927i
\(59\) −47.3108 17.2197i −0.104396 0.0379969i 0.289294 0.957240i \(-0.406579\pi\)
−0.393690 + 0.919243i \(0.628802\pi\)
\(60\) −389.411 127.895i −0.837879 0.275187i
\(61\) −24.6637 + 139.875i −0.0517682 + 0.293592i −0.999690 0.0249123i \(-0.992069\pi\)
0.947921 + 0.318504i \(0.103180\pi\)
\(62\) 101.874 176.451i 0.208677 0.361440i
\(63\) 320.030 645.721i 0.639999 1.29132i
\(64\) 130.008 + 225.181i 0.253923 + 0.439807i
\(65\) −359.897 + 130.992i −0.686766 + 0.249962i
\(66\) 37.5848 70.1486i 0.0700965 0.130829i
\(67\) −79.8993 + 67.0435i −0.145690 + 0.122249i −0.712720 0.701449i \(-0.752537\pi\)
0.567030 + 0.823697i \(0.308093\pi\)
\(68\) 630.963 529.440i 1.12523 0.944178i
\(69\) −723.641 + 22.9704i −1.26255 + 0.0400770i
\(70\) −228.185 + 83.0527i −0.389620 + 0.141810i
\(71\) 161.669 + 280.019i 0.270234 + 0.468059i 0.968922 0.247368i \(-0.0795657\pi\)
−0.698688 + 0.715427i \(0.746232\pi\)
\(72\) −251.340 + 239.651i −0.411398 + 0.392266i
\(73\) −292.351 + 506.366i −0.468727 + 0.811859i −0.999361 0.0357420i \(-0.988621\pi\)
0.530634 + 0.847601i \(0.321954\pi\)
\(74\) 4.89869 27.7819i 0.00769543 0.0436429i
\(75\) −30.9884 + 27.7245i −0.0477098 + 0.0426846i
\(76\) −127.914 46.5571i −0.193063 0.0702692i
\(77\) 84.4012 + 478.663i 0.124914 + 0.708425i
\(78\) −22.0229 + 153.172i −0.0319693 + 0.222350i
\(79\) −486.977 408.622i −0.693534 0.581944i 0.226392 0.974036i \(-0.427307\pi\)
−0.919926 + 0.392092i \(0.871751\pi\)
\(80\) −514.030 −0.718379
\(81\) 613.272 + 394.130i 0.841251 + 0.540644i
\(82\) −327.060 −0.440460
\(83\) 740.364 + 621.240i 0.979103 + 0.821565i 0.983954 0.178423i \(-0.0570996\pi\)
−0.00485076 + 0.999988i \(0.501544\pi\)
\(84\) 143.944 1001.14i 0.186971 1.30040i
\(85\) 212.142 + 1203.12i 0.270707 + 1.53525i
\(86\) −66.6483 24.2580i −0.0835682 0.0304163i
\(87\) 311.683 278.854i 0.384091 0.343636i
\(88\) 40.6714 230.659i 0.0492681 0.279413i
\(89\) 233.107 403.753i 0.277633 0.480874i −0.693163 0.720781i \(-0.743784\pi\)
0.970796 + 0.239907i \(0.0771169\pi\)
\(90\) −57.9100 238.710i −0.0678250 0.279581i
\(91\) −472.553 818.485i −0.544363 0.942864i
\(92\) −954.833 + 347.531i −1.08205 + 0.393833i
\(93\) −1258.11 + 39.9361i −1.40280 + 0.0445288i
\(94\) 297.289 249.455i 0.326203 0.273717i
\(95\) 154.666 129.780i 0.167036 0.140160i
\(96\) −350.598 + 654.360i −0.372737 + 0.695681i
\(97\) 1569.83 571.373i 1.64322 0.598084i 0.655624 0.755088i \(-0.272406\pi\)
0.987598 + 0.157004i \(0.0501835\pi\)
\(98\) −155.367 269.104i −0.160148 0.277384i
\(99\) −490.671 + 31.1820i −0.498124 + 0.0316557i
\(100\) −29.1782 + 50.5381i −0.0291782 + 0.0505381i
\(101\) 243.204 1379.28i 0.239601 1.35884i −0.593104 0.805126i \(-0.702098\pi\)
0.832705 0.553717i \(-0.186791\pi\)
\(102\) 468.967 + 154.024i 0.455242 + 0.149516i
\(103\) 1702.75 + 619.749i 1.62890 + 0.592871i 0.985048 0.172280i \(-0.0551134\pi\)
0.643851 + 0.765151i \(0.277336\pi\)
\(104\) 79.0845 + 448.510i 0.0745661 + 0.422885i
\(105\) 1179.23 + 927.360i 1.09601 + 0.861915i
\(106\) 226.187 + 189.794i 0.207257 + 0.173909i
\(107\) −501.812 −0.453384 −0.226692 0.973967i \(-0.572791\pi\)
−0.226692 + 0.973967i \(0.572791\pi\)
\(108\) 990.328 + 256.958i 0.882356 + 0.228943i
\(109\) −1311.94 −1.15286 −0.576428 0.817148i \(-0.695554\pi\)
−0.576428 + 0.817148i \(0.695554\pi\)
\(110\) 126.906 + 106.487i 0.110000 + 0.0923009i
\(111\) −161.799 + 64.7743i −0.138354 + 0.0553884i
\(112\) −220.265 1249.19i −0.185831 1.05390i
\(113\) 553.519 + 201.465i 0.460803 + 0.167719i 0.561982 0.827150i \(-0.310039\pi\)
−0.101179 + 0.994868i \(0.532261\pi\)
\(114\) −16.7075 79.8483i −0.0137264 0.0656007i
\(115\) 261.709 1484.23i 0.212213 1.20352i
\(116\) 293.476 508.315i 0.234901 0.406861i
\(117\) 875.820 383.296i 0.692048 0.302870i
\(118\) −21.1729 36.6726i −0.0165180 0.0286100i
\(119\) −2832.89 + 1031.09i −2.18228 + 0.794284i
\(120\) −381.139 614.281i −0.289943 0.467299i
\(121\) −765.591 + 642.407i −0.575200 + 0.482650i
\(122\) −91.5119 + 76.7876i −0.0679107 + 0.0569838i
\(123\) 1065.29 + 1716.92i 0.780927 + 1.25862i
\(124\) −1660.06 + 604.213i −1.20224 + 0.437580i
\(125\) −719.312 1245.89i −0.514698 0.891483i
\(126\) 555.295 243.021i 0.392616 0.171826i
\(127\) 480.719 832.630i 0.335881 0.581763i −0.647773 0.761834i \(-0.724299\pi\)
0.983654 + 0.180071i \(0.0576326\pi\)
\(128\) −236.446 + 1340.95i −0.163274 + 0.925974i
\(129\) 89.7409 + 428.888i 0.0612499 + 0.292724i
\(130\) −302.702 110.174i −0.204221 0.0743303i
\(131\) −99.7592 565.763i −0.0665344 0.377335i −0.999834 0.0182359i \(-0.994195\pi\)
0.933299 0.359099i \(-0.116916\pi\)
\(132\) −640.598 + 256.456i −0.422401 + 0.169103i
\(133\) 381.665 + 320.255i 0.248832 + 0.208794i
\(134\) −87.7254 −0.0565547
\(135\) −1064.51 + 1081.52i −0.678653 + 0.689502i
\(136\) 1452.73 0.915961
\(137\) 180.781 + 151.693i 0.112738 + 0.0945987i 0.697414 0.716668i \(-0.254334\pi\)
−0.584676 + 0.811267i \(0.698778\pi\)
\(138\) −478.663 376.426i −0.295265 0.232199i
\(139\) 101.240 + 574.163i 0.0617777 + 0.350359i 0.999991 + 0.00430070i \(0.00136896\pi\)
−0.938213 + 0.346058i \(0.887520\pi\)
\(140\) 1978.49 + 720.110i 1.19438 + 0.434717i
\(141\) −2277.86 748.124i −1.36050 0.446833i
\(142\) −47.2241 + 267.821i −0.0279082 + 0.158275i
\(143\) −322.386 + 558.388i −0.188526 + 0.326537i
\(144\) 1280.53 81.3770i 0.741045 0.0470932i
\(145\) 435.291 + 753.946i 0.249303 + 0.431805i
\(146\) −462.122 + 168.199i −0.261955 + 0.0953439i
\(147\) −906.624 + 1692.13i −0.508688 + 0.949420i
\(148\) −187.374 + 157.225i −0.104068 + 0.0873233i
\(149\) −243.212 + 204.079i −0.133723 + 0.112207i −0.707196 0.707018i \(-0.750040\pi\)
0.573473 + 0.819224i \(0.305596\pi\)
\(150\) −34.9547 + 1.10956i −0.0190270 + 0.000603970i
\(151\) 1368.57 498.120i 0.737568 0.268453i 0.0542035 0.998530i \(-0.482738\pi\)
0.683365 + 0.730077i \(0.260516\pi\)
\(152\) −120.044 207.922i −0.0640581 0.110952i
\(153\) −718.946 2963.56i −0.379891 1.56595i
\(154\) −204.402 + 354.034i −0.106956 + 0.185253i
\(155\) 455.005 2580.46i 0.235786 1.33721i
\(156\) 999.950 894.627i 0.513205 0.459151i
\(157\) 352.082 + 128.148i 0.178976 + 0.0651419i 0.429954 0.902851i \(-0.358530\pi\)
−0.250978 + 0.967993i \(0.580752\pi\)
\(158\) −92.8455 526.553i −0.0467493 0.265129i
\(159\) 259.605 1805.58i 0.129484 0.900577i
\(160\) −1183.80 993.327i −0.584923 0.490809i
\(161\) 3719.09 1.82053
\(162\) 182.053 + 585.495i 0.0882928 + 0.283956i
\(163\) −2543.28 −1.22212 −0.611059 0.791585i \(-0.709256\pi\)
−0.611059 + 0.791585i \(0.709256\pi\)
\(164\) 2172.33 + 1822.80i 1.03433 + 0.867908i
\(165\) 145.655 1013.05i 0.0687227 0.477973i
\(166\) 141.156 + 800.533i 0.0659988 + 0.374298i
\(167\) −2190.39 797.238i −1.01496 0.369414i −0.219622 0.975585i \(-0.570483\pi\)
−0.795334 + 0.606171i \(0.792705\pi\)
\(168\) 1329.49 1189.46i 0.610552 0.546244i
\(169\) −163.795 + 928.930i −0.0745541 + 0.422817i
\(170\) −513.764 + 889.865i −0.231787 + 0.401468i
\(171\) −364.751 + 347.787i −0.163118 + 0.155532i
\(172\) 307.481 + 532.573i 0.136309 + 0.236095i
\(173\) 3603.90 1311.71i 1.58381 0.576461i 0.607784 0.794102i \(-0.292059\pi\)
0.976029 + 0.217642i \(0.0698364\pi\)
\(174\) 351.577 11.1600i 0.153178 0.00486230i
\(175\) 163.620 137.294i 0.0706773 0.0593053i
\(176\) −662.911 + 556.249i −0.283914 + 0.238232i
\(177\) −123.552 + 230.598i −0.0524673 + 0.0979254i
\(178\) 368.475 134.114i 0.155159 0.0564734i
\(179\) 813.490 + 1409.01i 0.339682 + 0.588347i 0.984373 0.176097i \(-0.0563471\pi\)
−0.644691 + 0.764444i \(0.723014\pi\)
\(180\) −945.767 + 1908.27i −0.391630 + 0.790187i
\(181\) −641.734 + 1111.52i −0.263534 + 0.456455i −0.967179 0.254097i \(-0.918222\pi\)
0.703644 + 0.710553i \(0.251555\pi\)
\(182\) 138.034 782.831i 0.0562186 0.318831i
\(183\) 701.173 + 230.288i 0.283236 + 0.0930240i
\(184\) −1684.08 612.956i −0.674740 0.245585i
\(185\) −62.9989 357.284i −0.0250366 0.141990i
\(186\) −832.197 654.449i −0.328063 0.257992i
\(187\) 1575.52 + 1322.02i 0.616115 + 0.516982i
\(188\) −3364.89 −1.30537
\(189\) −3084.45 2123.50i −1.18709 0.817260i
\(190\) 169.816 0.0648406
\(191\) −161.401 135.431i −0.0611443 0.0513061i 0.611703 0.791087i \(-0.290485\pi\)
−0.672848 + 0.739781i \(0.734929\pi\)
\(192\) 1254.31 502.147i 0.471468 0.188747i
\(193\) −327.542 1857.58i −0.122161 0.692807i −0.982954 0.183852i \(-0.941143\pi\)
0.860793 0.508955i \(-0.169968\pi\)
\(194\) 1320.35 + 480.569i 0.488638 + 0.177850i
\(195\) 407.583 + 1947.91i 0.149680 + 0.715349i
\(196\) −467.848 + 2653.30i −0.170499 + 0.966946i
\(197\) −401.854 + 696.031i −0.145334 + 0.251727i −0.929498 0.368828i \(-0.879759\pi\)
0.784163 + 0.620555i \(0.213092\pi\)
\(198\) −332.999 245.183i −0.119521 0.0880021i
\(199\) 525.362 + 909.953i 0.187145 + 0.324145i 0.944297 0.329094i \(-0.106743\pi\)
−0.757152 + 0.653239i \(0.773410\pi\)
\(200\) −96.7185 + 35.2027i −0.0341952 + 0.0124460i
\(201\) 285.737 + 460.522i 0.100270 + 0.161605i
\(202\) 902.382 757.188i 0.314314 0.263740i
\(203\) −1645.70 + 1380.91i −0.568993 + 0.477442i
\(204\) −2256.46 3636.72i −0.774430 1.24815i
\(205\) −3952.44 + 1438.57i −1.34659 + 0.490118i
\(206\) 762.028 + 1319.87i 0.257733 + 0.446406i
\(207\) −416.986 + 3738.86i −0.140012 + 1.25541i
\(208\) 841.343 1457.25i 0.280465 0.485779i
\(209\) 59.0234 334.738i 0.0195346 0.110786i
\(210\) 258.420 + 1235.03i 0.0849174 + 0.405836i
\(211\) −2545.31 926.418i −0.830457 0.302262i −0.108411 0.994106i \(-0.534576\pi\)
−0.722047 + 0.691844i \(0.756798\pi\)
\(212\) −444.559 2521.22i −0.144021 0.816784i
\(213\) 1559.77 624.434i 0.501753 0.200871i
\(214\) −323.319 271.297i −0.103279 0.0866612i
\(215\) −912.127 −0.289333
\(216\) 1046.72 + 1469.93i 0.329724 + 0.463036i
\(217\) 6465.96 2.02276
\(218\) −845.289 709.281i −0.262616 0.220361i
\(219\) 2388.18 + 1878.09i 0.736888 + 0.579496i
\(220\) −249.427 1414.57i −0.0764379 0.433501i
\(221\) −3758.01 1367.80i −1.14385 0.416327i
\(222\) −139.267 45.7398i −0.0421035 0.0138282i
\(223\) 11.0519 62.6785i 0.00331879 0.0188218i −0.983103 0.183051i \(-0.941403\pi\)
0.986422 + 0.164229i \(0.0525137\pi\)
\(224\) 1906.70 3302.50i 0.568736 0.985079i
\(225\) 119.678 + 179.884i 0.0354603 + 0.0532988i
\(226\) 247.716 + 429.056i 0.0729106 + 0.126285i
\(227\) −62.1838 + 22.6331i −0.0181819 + 0.00661766i −0.351095 0.936340i \(-0.614191\pi\)
0.332913 + 0.942957i \(0.391968\pi\)
\(228\) −334.047 + 623.469i −0.0970299 + 0.181098i
\(229\) 1881.94 1579.13i 0.543066 0.455686i −0.329519 0.944149i \(-0.606887\pi\)
0.872585 + 0.488463i \(0.162442\pi\)
\(230\) 971.045 814.804i 0.278386 0.233594i
\(231\) 2524.30 80.1286i 0.718991 0.0228228i
\(232\) 972.800 354.070i 0.275291 0.100198i
\(233\) 1545.62 + 2677.09i 0.434579 + 0.752713i 0.997261 0.0739605i \(-0.0235639\pi\)
−0.562682 + 0.826673i \(0.690231\pi\)
\(234\) 771.517 + 226.540i 0.215537 + 0.0632879i
\(235\) 2495.44 4322.24i 0.692702 1.19979i
\(236\) −63.7568 + 361.583i −0.0175856 + 0.0997331i
\(237\) −2461.77 + 2202.48i −0.674721 + 0.603655i
\(238\) −2382.69 867.227i −0.648935 0.236193i
\(239\) 594.064 + 3369.10i 0.160781 + 0.911837i 0.953308 + 0.302000i \(0.0976542\pi\)
−0.792527 + 0.609837i \(0.791235\pi\)
\(240\) −380.123 + 2643.79i −0.102237 + 0.711067i
\(241\) −544.093 456.548i −0.145428 0.122028i 0.567171 0.823600i \(-0.308038\pi\)
−0.712599 + 0.701571i \(0.752482\pi\)
\(242\) −840.581 −0.223283
\(243\) 2480.62 2862.76i 0.654865 0.755746i
\(244\) 1035.78 0.271759
\(245\) −3061.23 2568.68i −0.798265 0.669824i
\(246\) −241.859 + 1682.15i −0.0626844 + 0.435976i
\(247\) 114.769 + 650.890i 0.0295652 + 0.167673i
\(248\) −2927.92 1065.68i −0.749691 0.272865i
\(249\) 3742.69 3348.48i 0.952544 0.852215i
\(250\) 210.114 1191.61i 0.0531550 0.301457i
\(251\) −2536.71 + 4393.72i −0.637912 + 1.10490i 0.347978 + 0.937503i \(0.386868\pi\)
−0.985890 + 0.167394i \(0.946465\pi\)
\(252\) −5042.70 1480.68i −1.26056 0.370136i
\(253\) −1268.62 2197.32i −0.315247 0.546024i
\(254\) 759.877 276.573i 0.187712 0.0683217i
\(255\) 6344.83 201.403i 1.55815 0.0494602i
\(256\) 716.166 600.935i 0.174845 0.146713i
\(257\) 1009.07 846.711i 0.244919 0.205511i −0.512062 0.858949i \(-0.671118\pi\)
0.756981 + 0.653437i \(0.226674\pi\)
\(258\) −174.051 + 324.851i −0.0419998 + 0.0783889i
\(259\) 841.271 306.198i 0.201830 0.0734602i
\(260\) 1396.51 + 2418.83i 0.333107 + 0.576959i
\(261\) −1203.73 1809.28i −0.285476 0.429086i
\(262\) 241.596 418.456i 0.0569688 0.0986729i
\(263\) −688.981 + 3907.40i −0.161538 + 0.916125i 0.791025 + 0.611783i \(0.209548\pi\)
−0.952563 + 0.304342i \(0.901564\pi\)
\(264\) −1156.26 379.755i −0.269557 0.0885315i
\(265\) 3568.23 + 1298.73i 0.827149 + 0.301058i
\(266\) 72.7672 + 412.683i 0.0167731 + 0.0951249i
\(267\) −1904.23 1497.50i −0.436468 0.343243i
\(268\) 582.673 + 488.921i 0.132807 + 0.111439i
\(269\) 3723.56 0.843977 0.421988 0.906601i \(-0.361332\pi\)
0.421988 + 0.906601i \(0.361332\pi\)
\(270\) −1270.57 + 121.321i −0.286388 + 0.0273458i
\(271\) −5380.04 −1.20596 −0.602978 0.797758i \(-0.706019\pi\)
−0.602978 + 0.797758i \(0.706019\pi\)
\(272\) −4111.70 3450.13i −0.916575 0.769098i
\(273\) −4559.14 + 1825.20i −1.01074 + 0.404637i
\(274\) 34.4671 + 195.473i 0.00759940 + 0.0430983i
\(275\) −136.929 49.8379i −0.0300258 0.0109285i
\(276\) 1081.35 + 5167.96i 0.235832 + 1.12708i
\(277\) −177.469 + 1006.48i −0.0384948 + 0.218315i −0.997987 0.0634206i \(-0.979799\pi\)
0.959492 + 0.281736i \(0.0909101\pi\)
\(278\) −245.183 + 424.670i −0.0528961 + 0.0916187i
\(279\) −724.967 + 6500.34i −0.155565 + 1.39486i
\(280\) 1856.75 + 3215.98i 0.396293 + 0.686399i
\(281\) 6181.47 2249.87i 1.31230 0.477637i 0.411316 0.911493i \(-0.365069\pi\)
0.900982 + 0.433856i \(0.142847\pi\)
\(282\) −1063.17 1713.51i −0.224507 0.361837i
\(283\) −5319.40 + 4463.51i −1.11733 + 0.937554i −0.998467 0.0553558i \(-0.982371\pi\)
−0.118867 + 0.992910i \(0.537926\pi\)
\(284\) 1806.31 1515.68i 0.377412 0.316686i
\(285\) −553.119 891.460i −0.114961 0.185283i
\(286\) −509.598 + 185.479i −0.105361 + 0.0383482i
\(287\) −5189.64 8988.72i −1.06737 1.84874i
\(288\) 3106.28 + 2287.12i 0.635553 + 0.467950i
\(289\) −3921.82 + 6792.78i −0.798253 + 1.38261i
\(290\) −127.150 + 721.103i −0.0257466 + 0.146016i
\(291\) −1777.84 8496.60i −0.358140 1.71161i
\(292\) 4006.84 + 1458.37i 0.803022 + 0.292276i
\(293\) 148.644 + 843.001i 0.0296378 + 0.168084i 0.996034 0.0889726i \(-0.0283584\pi\)
−0.966396 + 0.257057i \(0.917247\pi\)
\(294\) −1498.97 + 600.094i −0.297352 + 0.119041i
\(295\) −417.174 350.051i −0.0823350 0.0690872i
\(296\) −431.411 −0.0847137
\(297\) −202.472 + 2546.71i −0.0395576 + 0.497559i
\(298\) −267.034 −0.0519090
\(299\) 3779.36 + 3171.26i 0.730989 + 0.613373i
\(300\) 238.354 + 187.444i 0.0458712 + 0.0360736i
\(301\) −390.853 2216.64i −0.0748451 0.424468i
\(302\) 1151.08 + 418.958i 0.219328 + 0.0798288i
\(303\) −6914.13 2270.83i −1.31091 0.430547i
\(304\) −154.036 + 873.581i −0.0290611 + 0.164814i
\(305\) −768.150 + 1330.48i −0.144210 + 0.249780i
\(306\) 1138.99 2298.12i 0.212783 0.429329i
\(307\) −3310.94 5734.72i −0.615522 1.06612i −0.990293 0.138998i \(-0.955612\pi\)
0.374770 0.927118i \(-0.377722\pi\)
\(308\) 3330.78 1212.30i 0.616197 0.224278i
\(309\) 4446.70 8299.37i 0.818654 1.52794i
\(310\) 1688.25 1416.61i 0.309310 0.259542i
\(311\) 2458.09 2062.58i 0.448185 0.376072i −0.390577 0.920570i \(-0.627724\pi\)
0.838762 + 0.544498i \(0.183280\pi\)
\(312\) 2365.29 75.0810i 0.429193 0.0136238i
\(313\) −4008.38 + 1458.93i −0.723857 + 0.263462i −0.677562 0.735466i \(-0.736963\pi\)
−0.0462945 + 0.998928i \(0.514741\pi\)
\(314\) 157.567 + 272.914i 0.0283185 + 0.0490491i
\(315\) 5641.69 5379.32i 1.00912 0.962191i
\(316\) −2317.96 + 4014.82i −0.412644 + 0.714720i
\(317\) −1656.77 + 9396.00i −0.293544 + 1.66477i 0.379519 + 0.925184i \(0.376089\pi\)
−0.673063 + 0.739585i \(0.735022\pi\)
\(318\) 1143.42 1022.99i 0.201635 0.180397i
\(319\) 1377.24 + 501.273i 0.241725 + 0.0879808i
\(320\) 488.383 + 2769.76i 0.0853170 + 0.483857i
\(321\) −371.088 + 2580.95i −0.0645237 + 0.448769i
\(322\) 2396.22 + 2010.67i 0.414709 + 0.347982i
\(323\) 2108.24 0.363175
\(324\) 2053.95 4903.50i 0.352186 0.840792i
\(325\) 283.342 0.0483599
\(326\) −1638.65 1374.99i −0.278393 0.233600i
\(327\) −970.175 + 6747.66i −0.164070 + 1.14112i
\(328\) 868.517 + 4925.60i 0.146207 + 0.829180i
\(329\) 11573.1 + 4212.28i 1.93936 + 0.705868i
\(330\) 641.534 573.963i 0.107016 0.0957443i
\(331\) 1556.42 8826.91i 0.258455 1.46577i −0.528590 0.848878i \(-0.677279\pi\)
0.787045 0.616896i \(-0.211610\pi\)
\(332\) 3524.06 6103.85i 0.582554 1.00901i
\(333\) 213.502 + 880.075i 0.0351346 + 0.144828i
\(334\) −980.264 1697.87i −0.160592 0.278153i
\(335\) −1060.14 + 385.860i −0.172901 + 0.0629307i
\(336\) −6587.78 + 209.115i −1.06962 + 0.0339529i
\(337\) −2492.27 + 2091.26i −0.402856 + 0.338037i −0.821596 0.570070i \(-0.806916\pi\)
0.418740 + 0.908106i \(0.362472\pi\)
\(338\) −607.746 + 509.959i −0.0978018 + 0.0820654i
\(339\) 1445.51 2697.91i 0.231591 0.432244i
\(340\) 8371.91 3047.13i 1.33538 0.486040i
\(341\) −2205.61 3820.23i −0.350265 0.606677i
\(342\) −423.036 + 26.8838i −0.0668864 + 0.00425062i
\(343\) 352.972 611.365i 0.0555647 0.0962408i
\(344\) −188.345 + 1068.16i −0.0295200 + 0.167416i
\(345\) −7440.24 2443.62i −1.16107 0.381333i
\(346\) 3031.16 + 1103.25i 0.470972 + 0.171420i
\(347\) −791.412 4488.32i −0.122436 0.694368i −0.982798 0.184685i \(-0.940874\pi\)
0.860362 0.509684i \(-0.170238\pi\)
\(348\) −2397.37 1885.32i −0.369289 0.290413i
\(349\) −3699.15 3103.95i −0.567366 0.476077i 0.313405 0.949620i \(-0.398530\pi\)
−0.880771 + 0.473543i \(0.842975\pi\)
\(350\) 179.647 0.0274358
\(351\) −1323.73 4788.02i −0.201297 0.728107i
\(352\) −2601.58 −0.393934
\(353\) −9534.88 8000.71i −1.43765 1.20633i −0.941012 0.338374i \(-0.890123\pi\)
−0.496638 0.867958i \(-0.665432\pi\)
\(354\) −204.274 + 81.7787i −0.0306696 + 0.0122782i
\(355\) 607.318 + 3444.27i 0.0907975 + 0.514938i
\(356\) −3194.87 1162.84i −0.475639 0.173119i
\(357\) 3208.25 + 15332.8i 0.475626 + 2.27310i
\(358\) −237.623 + 1347.63i −0.0350804 + 0.198951i
\(359\) 1658.07 2871.86i 0.243759 0.422203i −0.718023 0.696019i \(-0.754953\pi\)
0.961782 + 0.273816i \(0.0882860\pi\)
\(360\) −3441.26 + 1506.04i −0.503806 + 0.220487i
\(361\) 3255.29 + 5638.33i 0.474601 + 0.822033i
\(362\) −1014.40 + 369.210i −0.147280 + 0.0536056i
\(363\) 2737.92 + 4412.69i 0.395877 + 0.638034i
\(364\) −5279.78 + 4430.26i −0.760263 + 0.637936i
\(365\) −4844.82 + 4065.28i −0.694765 + 0.582977i
\(366\) 327.266 + 527.454i 0.0467390 + 0.0753291i
\(367\) 7220.79 2628.15i 1.02704 0.373810i 0.227084 0.973875i \(-0.427081\pi\)
0.799951 + 0.600065i \(0.204859\pi\)
\(368\) 3310.78 + 5734.43i 0.468984 + 0.812304i
\(369\) 9618.37 4209.41i 1.35694 0.593857i
\(370\) 152.570 264.259i 0.0214371 0.0371302i
\(371\) −1627.14 + 9227.96i −0.227700 + 1.29135i
\(372\) 1880.02 + 8984.94i 0.262028 + 1.25228i
\(373\) −4188.24 1524.39i −0.581390 0.211609i 0.0345481 0.999403i \(-0.489001\pi\)
−0.615938 + 0.787794i \(0.711223\pi\)
\(374\) 300.384 + 1703.56i 0.0415307 + 0.235532i
\(375\) −6939.85 + 2778.29i −0.955659 + 0.382587i
\(376\) −4546.32 3814.82i −0.623560 0.523229i
\(377\) −2849.86 −0.389325
\(378\) −839.282 3035.74i −0.114201 0.413073i
\(379\) −630.946 −0.0855132 −0.0427566 0.999086i \(-0.513614\pi\)
−0.0427566 + 0.999086i \(0.513614\pi\)
\(380\) −1127.92 946.434i −0.152265 0.127766i
\(381\) −3926.94 3088.19i −0.528040 0.415257i
\(382\) −30.7722 174.518i −0.00412158 0.0233746i
\(383\) 6755.15 + 2458.67i 0.901232 + 0.328022i 0.750746 0.660591i \(-0.229694\pi\)
0.150486 + 0.988612i \(0.451916\pi\)
\(384\) 6722.03 + 2207.74i 0.893313 + 0.293393i
\(385\) −912.930 + 5177.49i −0.120850 + 0.685374i
\(386\) 793.238 1373.93i 0.104598 0.181169i
\(387\) 2272.24 144.401i 0.298462 0.0189672i
\(388\) −6091.44 10550.7i −0.797025 1.38049i
\(389\) −6510.52 + 2369.64i −0.848577 + 0.308857i −0.729460 0.684023i \(-0.760229\pi\)
−0.119117 + 0.992880i \(0.538006\pi\)
\(390\) −790.502 + 1475.40i −0.102638 + 0.191564i
\(391\) 12055.4 10115.7i 1.55925 1.30837i
\(392\) −3640.20 + 3054.49i −0.469025 + 0.393558i
\(393\) −2983.64 + 94.7092i −0.382963 + 0.0121563i
\(394\) −635.214 + 231.199i −0.0812224 + 0.0295625i
\(395\) −3438.06 5954.89i −0.437943 0.758540i
\(396\) 845.302 + 3484.41i 0.107268 + 0.442168i
\(397\) 1742.17 3017.52i 0.220244 0.381474i −0.734638 0.678459i \(-0.762648\pi\)
0.954882 + 0.296985i \(0.0959813\pi\)
\(398\) −153.460 + 870.314i −0.0193273 + 0.109610i
\(399\) 1929.40 1726.18i 0.242082 0.216584i
\(400\) 357.348 + 130.064i 0.0446686 + 0.0162580i
\(401\) −353.884 2006.98i −0.0440702 0.249934i 0.954812 0.297212i \(-0.0960567\pi\)
−0.998882 + 0.0472772i \(0.984946\pi\)
\(402\) −64.8725 + 451.195i −0.00804863 + 0.0559790i
\(403\) 6570.74 + 5513.51i 0.812188 + 0.681507i
\(404\) −10213.7 −1.25779
\(405\) 4775.37 + 6274.82i 0.585901 + 0.769872i
\(406\) −1806.90 −0.220874
\(407\) −467.875 392.593i −0.0569820 0.0478136i
\(408\) 1074.29 7471.78i 0.130356 0.906638i
\(409\) −949.794 5386.55i −0.114827 0.651217i −0.986836 0.161726i \(-0.948294\pi\)
0.872008 0.489491i \(-0.162817\pi\)
\(410\) −3324.31 1209.95i −0.400429 0.145744i
\(411\) 913.884 817.627i 0.109680 0.0981279i
\(412\) 2294.65 13013.6i 0.274391 1.55615i
\(413\) 671.925 1163.81i 0.0800564 0.138662i
\(414\) −2290.03 + 2183.53i −0.271857 + 0.259214i
\(415\) 5226.98 + 9053.39i 0.618270 + 1.07088i
\(416\) 4753.63 1730.18i 0.560255 0.203916i
\(417\) 3027.94 96.1154i 0.355585 0.0112873i
\(418\) 219.000 183.763i 0.0256260 0.0215027i
\(419\) 5126.35 4301.52i 0.597706 0.501535i −0.293002 0.956112i \(-0.594654\pi\)
0.890707 + 0.454577i \(0.150210\pi\)
\(420\) 5166.80 9643.35i 0.600271 1.12035i
\(421\) −5783.44 + 2105.00i −0.669519 + 0.243685i −0.654341 0.756200i \(-0.727054\pi\)
−0.0151785 + 0.999885i \(0.504832\pi\)
\(422\) −1139.10 1972.98i −0.131399 0.227590i
\(423\) −5532.26 + 11162.4i −0.635905 + 1.28306i
\(424\) 2257.69 3910.44i 0.258593 0.447896i
\(425\) 156.944 890.074i 0.0179127 0.101588i
\(426\) 1342.55 + 440.938i 0.152692 + 0.0501491i
\(427\) −3562.46 1296.63i −0.403746 0.146951i
\(428\) 635.467 + 3603.92i 0.0717675 + 0.407014i
\(429\) 2633.53 + 2071.04i 0.296383 + 0.233079i
\(430\) −587.687 493.128i −0.0659088 0.0553040i
\(431\) −1934.68 −0.216219 −0.108109 0.994139i \(-0.534480\pi\)
−0.108109 + 0.994139i \(0.534480\pi\)
\(432\) 528.399 6646.25i 0.0588486 0.740204i
\(433\) 7109.96 0.789106 0.394553 0.918873i \(-0.370899\pi\)
0.394553 + 0.918873i \(0.370899\pi\)
\(434\) 4166.04 + 3495.72i 0.460775 + 0.386636i
\(435\) 4199.64 1681.28i 0.462890 0.185313i
\(436\) 1661.37 + 9422.10i 0.182489 + 1.03495i
\(437\) −2443.98 889.537i −0.267532 0.0973738i
\(438\) 523.353 + 2501.20i 0.0570931 + 0.272858i
\(439\) −951.221 + 5394.64i −0.103415 + 0.586497i 0.888426 + 0.459019i \(0.151799\pi\)
−0.991841 + 0.127478i \(0.959312\pi\)
\(440\) 1266.71 2194.01i 0.137246 0.237717i
\(441\) 8032.64 + 5914.33i 0.867362 + 0.638628i
\(442\) −1681.81 2912.99i −0.180986 0.313477i
\(443\) 12409.4 4516.66i 1.33090 0.484409i 0.423967 0.905678i \(-0.360637\pi\)
0.906936 + 0.421269i \(0.138415\pi\)
\(444\) 670.089 + 1079.98i 0.0716240 + 0.115436i
\(445\) 3863.03 3241.47i 0.411518 0.345304i
\(446\) 41.0070 34.4089i 0.00435367 0.00365316i
\(447\) 869.778 + 1401.82i 0.0920337 + 0.148330i
\(448\) −6521.75 + 2373.72i −0.687776 + 0.250330i
\(449\) 3190.47 + 5526.05i 0.335339 + 0.580825i 0.983550 0.180636i \(-0.0578157\pi\)
−0.648211 + 0.761461i \(0.724482\pi\)
\(450\) −20.1421 + 180.602i −0.00211002 + 0.0189192i
\(451\) −3540.48 + 6132.30i −0.369656 + 0.640263i
\(452\) 745.932 4230.39i 0.0776232 0.440223i
\(453\) −1549.91 7407.28i −0.160753 0.768266i
\(454\) −52.3014 19.0362i −0.00540667 0.00196787i
\(455\) −1775.17 10067.5i −0.182904 1.03730i
\(456\) −1158.17 + 463.659i −0.118939 + 0.0476159i
\(457\) 960.392 + 805.865i 0.0983047 + 0.0824875i 0.690615 0.723222i \(-0.257340\pi\)
−0.592311 + 0.805710i \(0.701784\pi\)
\(458\) 2066.28 0.210809
\(459\) −15774.0 + 1506.19i −1.60407 + 0.153165i
\(460\) −10990.8 −1.11402
\(461\) −4898.82 4110.60i −0.494926 0.415292i 0.360862 0.932619i \(-0.382483\pi\)
−0.855788 + 0.517327i \(0.826927\pi\)
\(462\) 1669.74 + 1313.10i 0.168146 + 0.132231i
\(463\) 56.5577 + 320.755i 0.00567702 + 0.0321960i 0.987515 0.157527i \(-0.0503521\pi\)
−0.981838 + 0.189723i \(0.939241\pi\)
\(464\) −3594.23 1308.19i −0.359608 0.130886i
\(465\) −12935.5 4248.44i −1.29004 0.423692i
\(466\) −451.481 + 2560.47i −0.0448808 + 0.254532i
\(467\) −9230.26 + 15987.3i −0.914615 + 1.58416i −0.107151 + 0.994243i \(0.534173\pi\)
−0.807464 + 0.589917i \(0.799160\pi\)
\(468\) −3861.85 5804.58i −0.381440 0.573326i
\(469\) −1391.99 2411.00i −0.137049 0.237376i
\(470\) 3944.57 1435.71i 0.387127 0.140903i
\(471\) 919.459 1716.09i 0.0899500 0.167884i
\(472\) −496.073 + 416.255i −0.0483763 + 0.0405925i
\(473\) −1176.31 + 987.043i −0.114349 + 0.0959498i
\(474\) −2776.86 + 88.1454i −0.269083 + 0.00854146i
\(475\) −140.360 + 51.0870i −0.0135583 + 0.00493481i
\(476\) 10992.5 + 19039.6i 1.05849 + 1.83335i
\(477\) −9094.59 2670.43i −0.872983 0.256333i
\(478\) −1438.70 + 2491.89i −0.137666 + 0.238445i
\(479\) 1203.54 6825.63i 0.114804 0.651087i −0.872043 0.489430i \(-0.837205\pi\)
0.986847 0.161657i \(-0.0516840\pi\)
\(480\) −5984.36 + 5354.04i −0.569057 + 0.509119i
\(481\) 1116.00 + 406.190i 0.105790 + 0.0385045i
\(482\) −103.735 588.311i −0.00980292 0.0555951i
\(483\) 2750.25 19128.3i 0.259090 1.80200i
\(484\) 5583.14 + 4684.81i 0.524337 + 0.439971i
\(485\) 18069.9 1.69178
\(486\) 3145.98 503.376i 0.293631 0.0469827i
\(487\) 10020.5 0.932391 0.466195 0.884682i \(-0.345624\pi\)
0.466195 + 0.884682i \(0.345624\pi\)
\(488\) 1399.45 + 1174.28i 0.129816 + 0.108929i
\(489\) −1880.75 + 13080.8i −0.173927 + 1.20968i
\(490\) −583.645 3310.02i −0.0538090 0.305166i
\(491\) −5178.48 1884.81i −0.475971 0.173239i 0.0928844 0.995677i \(-0.470391\pi\)
−0.568855 + 0.822438i \(0.692614\pi\)
\(492\) 10981.6 9824.92i 1.00628 0.900288i
\(493\) −1578.55 + 8952.41i −0.144208 + 0.817842i
\(494\) −277.947 + 481.419i −0.0253147 + 0.0438463i
\(495\) −5102.65 1498.29i −0.463328 0.136046i
\(496\) 5756.07 + 9969.81i 0.521079 + 0.902535i
\(497\) −8109.97 + 2951.79i −0.731956 + 0.266410i
\(498\) 4221.74 134.010i 0.379881 0.0120585i
\(499\) −14672.9 + 12312.0i −1.31633 + 1.10453i −0.329257 + 0.944241i \(0.606798\pi\)
−0.987070 + 0.160289i \(0.948757\pi\)
\(500\) −8036.80 + 6743.68i −0.718833 + 0.603173i
\(501\) −5720.19 + 10676.2i −0.510098 + 0.952052i
\(502\) −4009.81 + 1459.45i −0.356507 + 0.129758i
\(503\) −5797.94 10042.3i −0.513951 0.890190i −0.999869 0.0161853i \(-0.994848\pi\)
0.485918 0.874005i \(-0.338485\pi\)
\(504\) −5134.56 7717.54i −0.453793 0.682077i
\(505\) 7574.58 13119.6i 0.667455 1.15607i
\(506\) 370.569 2101.60i 0.0325569 0.184639i
\(507\) 4656.60 + 1529.38i 0.407903 + 0.133969i
\(508\) −6588.53 2398.03i −0.575431 0.209440i
\(509\) 1147.18 + 6505.98i 0.0998975 + 0.566547i 0.993136 + 0.116964i \(0.0373163\pi\)
−0.893239 + 0.449583i \(0.851573\pi\)
\(510\) 4196.88 + 3300.47i 0.364394 + 0.286563i
\(511\) −11955.4 10031.8i −1.03498 0.868454i
\(512\) 11679.4 1.00813
\(513\) 1519.03 + 2133.19i 0.130735 + 0.183592i
\(514\) 1107.91 0.0950735
\(515\) 15014.4 + 12598.6i 1.28468 + 1.07798i
\(516\) 2966.54 1187.62i 0.253090 0.101322i
\(517\) −1459.02 8274.51i −0.124115 0.703893i
\(518\) 707.575 + 257.536i 0.0600175 + 0.0218446i
\(519\) −4081.42 19505.8i −0.345191 1.64973i
\(520\) −855.422 + 4851.34i −0.0721399 + 0.409125i
\(521\) −2226.21 + 3855.91i −0.187202 + 0.324243i −0.944316 0.329039i \(-0.893275\pi\)
0.757114 + 0.653282i \(0.226609\pi\)
\(522\) 202.590 1816.50i 0.0169868 0.152311i
\(523\) 3394.82 + 5880.01i 0.283834 + 0.491615i 0.972326 0.233629i \(-0.0750602\pi\)
−0.688492 + 0.725244i \(0.741727\pi\)
\(524\) −3936.86 + 1432.90i −0.328211 + 0.119459i
\(525\) −585.141 943.070i −0.0486431 0.0783980i
\(526\) −2556.39 + 2145.07i −0.211909 + 0.177812i
\(527\) 20959.4 17587.0i 1.73246 1.45370i
\(528\) 2370.71 + 3820.87i 0.195402 + 0.314928i
\(529\) −6810.18 + 2478.70i −0.559725 + 0.203723i
\(530\) 1596.88 + 2765.88i 0.130876 + 0.226684i
\(531\) 1094.66 + 805.984i 0.0894617 + 0.0658696i
\(532\) 1816.69 3146.60i 0.148052 0.256433i
\(533\) 2390.92 13559.6i 0.194300 1.10193i
\(534\) −417.297 1994.34i −0.0338169 0.161617i
\(535\) −5100.54 1856.45i −0.412179 0.150021i
\(536\) 232.958 + 1321.17i 0.0187728 + 0.106466i
\(537\) 7848.46 3142.04i 0.630701 0.252494i
\(538\) 2399.10 + 2013.09i 0.192254 + 0.161320i
\(539\) −6727.52 −0.537616
\(540\) 9115.32 + 6275.48i 0.726409 + 0.500100i
\(541\) 17202.4 1.36707 0.683537 0.729916i \(-0.260441\pi\)
0.683537 + 0.729916i \(0.260441\pi\)
\(542\) −3466.38 2908.64i −0.274712 0.230510i
\(543\) 5242.26 + 4122.57i 0.414304 + 0.325813i
\(544\) −2802.04 15891.1i −0.220839 1.25244i
\(545\) −13334.9 4853.50i −1.04808 0.381470i
\(546\) −3924.23 1288.85i −0.307585 0.101021i
\(547\) −3992.83 + 22644.4i −0.312104 + 1.77003i 0.275915 + 0.961182i \(0.411019\pi\)
−0.588019 + 0.808847i \(0.700092\pi\)
\(548\) 860.499 1490.43i 0.0670779 0.116182i
\(549\) 1702.95 3436.02i 0.132386 0.267114i
\(550\) −61.2795 106.139i −0.00475084 0.00822870i
\(551\) 1411.75 513.836i 0.109152 0.0397280i
\(552\) −4397.96 + 8208.40i −0.339112 + 0.632922i
\(553\) 12998.3 10906.8i 0.999533 0.838708i
\(554\) −658.480 + 552.530i −0.0504984 + 0.0423732i
\(555\) −1884.19 + 59.8097i −0.144107 + 0.00457438i
\(556\) 3995.32 1454.18i 0.304747 0.110919i
\(557\) −9928.09 17195.9i −0.755236 1.30811i −0.945257 0.326327i \(-0.894189\pi\)
0.190021 0.981780i \(-0.439144\pi\)
\(558\) −3981.41 + 3796.25i −0.302055 + 0.288007i
\(559\) 1492.93 2585.84i 0.112959 0.195652i
\(560\) 2382.51 13511.9i 0.179785 1.01961i
\(561\) 7964.58 7125.69i 0.599402 0.536269i
\(562\) 5199.10 + 1892.32i 0.390233 + 0.142033i
\(563\) 925.723 + 5250.04i 0.0692976 + 0.393006i 0.999653 + 0.0263470i \(0.00838748\pi\)
−0.930355 + 0.366659i \(0.880501\pi\)
\(564\) −2488.32 + 17306.5i −0.185775 + 1.29208i
\(565\) 4880.79 + 4095.47i 0.363427 + 0.304952i
\(566\) −5840.43 −0.433731
\(567\) −13202.7 + 14293.8i −0.977884 + 1.05870i
\(568\) 4158.86 0.307222
\(569\) 6662.49 + 5590.50i 0.490872 + 0.411891i 0.854339 0.519717i \(-0.173962\pi\)
−0.363467 + 0.931607i \(0.618407\pi\)
\(570\) 125.578 873.406i 0.00922785 0.0641806i
\(571\) −542.707 3077.84i −0.0397751 0.225576i 0.958440 0.285293i \(-0.0920910\pi\)
−0.998215 + 0.0597178i \(0.980980\pi\)
\(572\) 4418.48 + 1608.20i 0.322983 + 0.117556i
\(573\) −815.914 + 729.976i −0.0594857 + 0.0532202i
\(574\) 1515.91 8597.16i 0.110232 0.625154i
\(575\) −557.490 + 965.600i −0.0404329 + 0.0700318i
\(576\) −1655.12 6822.56i −0.119728 0.493530i
\(577\) 2717.27 + 4706.44i 0.196051 + 0.339570i 0.947244 0.320512i \(-0.103855\pi\)
−0.751194 + 0.660082i \(0.770522\pi\)
\(578\) −6199.25 + 2256.34i −0.446116 + 0.162373i
\(579\) −9796.25 + 310.961i −0.703141 + 0.0223197i
\(580\) 4863.46 4080.92i 0.348179 0.292157i
\(581\) −19761.6 + 16582.0i −1.41110 + 1.18405i
\(582\) 3448.09 6435.55i 0.245581 0.458354i
\(583\) 6007.11 2186.41i 0.426739 0.155320i
\(584\) 3760.29 + 6513.02i 0.266442 + 0.461491i
\(585\) 10320.0 655.836i 0.729369 0.0463512i
\(586\) −359.984 + 623.510i −0.0253768 + 0.0439539i
\(587\) −1563.56 + 8867.40i −0.109941 + 0.623504i 0.879191 + 0.476470i \(0.158084\pi\)
−0.989131 + 0.147034i \(0.953027\pi\)
\(588\) 13300.6 + 4368.37i 0.932839 + 0.306375i
\(589\) −4249.08 1546.54i −0.297250 0.108190i
\(590\) −79.5371 451.078i −0.00554999 0.0314755i
\(591\) 3282.70 + 2581.55i 0.228481 + 0.179680i
\(592\) 1221.03 + 1024.57i 0.0847705 + 0.0711309i
\(593\) −6962.45 −0.482148 −0.241074 0.970507i \(-0.577500\pi\)
−0.241074 + 0.970507i \(0.577500\pi\)
\(594\) −1507.29 + 1531.39i −0.104116 + 0.105781i
\(595\) −32608.7 −2.24677
\(596\) 1773.64 + 1488.26i 0.121898 + 0.102285i
\(597\) 5068.63 2029.17i 0.347479 0.139109i
\(598\) 720.561 + 4086.50i 0.0492741 + 0.279447i
\(599\) −17588.5 6401.69i −1.19974 0.436671i −0.336610 0.941644i \(-0.609280\pi\)
−0.863135 + 0.504973i \(0.831502\pi\)
\(600\) 109.534 + 523.481i 0.00745282 + 0.0356184i
\(601\) 4956.51 28109.8i 0.336407 1.90786i −0.0764728 0.997072i \(-0.524366\pi\)
0.412880 0.910786i \(-0.364523\pi\)
\(602\) 946.563 1639.50i 0.0640848 0.110998i
\(603\) 2579.88 1129.07i 0.174231 0.0762507i
\(604\) −5310.48 9198.02i −0.357749 0.619639i
\(605\) −10158.2 + 3697.29i −0.682629 + 0.248457i
\(606\) −3227.11 5201.12i −0.216324 0.348649i
\(607\) −12502.6 + 10490.9i −0.836019 + 0.701503i −0.956664 0.291193i \(-0.905948\pi\)
0.120646 + 0.992696i \(0.461504\pi\)
\(608\) −2042.88 + 1714.18i −0.136266 + 0.114341i
\(609\) 5885.38 + 9485.45i 0.391605 + 0.631149i
\(610\) −1214.22 + 441.941i −0.0805942 + 0.0293339i
\(611\) 8168.88 + 14148.9i 0.540880 + 0.936832i
\(612\) −20373.3 + 8916.21i −1.34565 + 0.588916i
\(613\) −1083.24 + 1876.22i −0.0713728 + 0.123621i −0.899503 0.436914i \(-0.856071\pi\)
0.828130 + 0.560536i \(0.189405\pi\)
\(614\) 967.137 5484.91i 0.0635676 0.360510i
\(615\) 4476.14 + 21392.3i 0.293488 + 1.40263i
\(616\) 5874.65 + 2138.20i 0.384247 + 0.139855i
\(617\) 2009.48 + 11396.3i 0.131116 + 0.743595i 0.977486 + 0.211000i \(0.0676720\pi\)
−0.846370 + 0.532595i \(0.821217\pi\)
\(618\) 7351.96 2943.27i 0.478542 0.191579i
\(619\) 4431.85 + 3718.76i 0.287772 + 0.241469i 0.775233 0.631675i \(-0.217632\pi\)
−0.487461 + 0.873145i \(0.662077\pi\)
\(620\) −19108.5 −1.23777
\(621\) 18921.6 + 4909.54i 1.22270 + 0.317251i
\(622\) 2698.86 0.173978
\(623\) 9532.70 + 7998.89i 0.613033 + 0.514396i
\(624\) −6872.85 5404.88i −0.440920 0.346744i
\(625\) −2528.44 14339.5i −0.161820 0.917727i
\(626\) −3371.36 1227.08i −0.215250 0.0783447i
\(627\) −1678.00 551.110i −0.106879 0.0351024i
\(628\) 474.472 2690.86i 0.0301489 0.170983i
\(629\) 1894.14 3280.74i 0.120070 0.207968i
\(630\) 6543.21 415.819i 0.413790 0.0262962i
\(631\) −5539.27 9594.29i −0.349469 0.605298i 0.636686 0.771123i \(-0.280305\pi\)
−0.986155 + 0.165825i \(0.946971\pi\)
\(632\) −7683.47 + 2796.56i −0.483595 + 0.176014i
\(633\) −6647.06 + 12406.1i −0.417372 + 0.778988i
\(634\) −6147.26 + 5158.17i −0.385077 + 0.323118i
\(635\) 7966.44 6684.64i 0.497856 0.417751i
\(636\) −13296.1 + 422.054i −0.828967 + 0.0263138i
\(637\) 12292.6 4474.13i 0.764599 0.278291i
\(638\) 616.352 + 1067.55i 0.0382470 + 0.0662458i
\(639\) −2058.19 8484.05i −0.127419 0.525233i
\(640\) −7364.13 + 12755.0i −0.454833 + 0.787793i
\(641\) 4569.84 25916.8i 0.281588 1.59696i −0.435638 0.900122i \(-0.643477\pi\)
0.717226 0.696841i \(-0.245412\pi\)
\(642\) −1634.45 + 1462.29i −0.100477 + 0.0898943i
\(643\) 27197.0 + 9898.91i 1.66803 + 0.607115i 0.991595 0.129383i \(-0.0412996\pi\)
0.676440 + 0.736498i \(0.263522\pi\)
\(644\) −4709.65 26709.8i −0.288177 1.63433i
\(645\) −674.514 + 4691.31i −0.0411767 + 0.286388i
\(646\) 1358.35 + 1139.79i 0.0827298 + 0.0694185i
\(647\) 721.396 0.0438346 0.0219173 0.999760i \(-0.493023\pi\)
0.0219173 + 0.999760i \(0.493023\pi\)
\(648\) 8334.26 4296.57i 0.505248 0.260471i
\(649\) −916.804 −0.0554510
\(650\) 182.558 + 153.184i 0.0110162 + 0.00924366i
\(651\) 4781.55 33256.1i 0.287870 2.00217i
\(652\) 3220.67 + 18265.3i 0.193453 + 1.09713i
\(653\) 27820.4 + 10125.8i 1.66722 + 0.606819i 0.991473 0.130314i \(-0.0415986\pi\)
0.675748 + 0.737133i \(0.263821\pi\)
\(654\) −4273.11 + 3823.03i −0.255492 + 0.228582i
\(655\) 1079.05 6119.60i 0.0643695 0.365058i
\(656\) 9239.75 16003.7i 0.549926 0.952500i
\(657\) 11425.6 10894.2i 0.678469 0.646916i
\(658\) 5179.31 + 8970.83i 0.306855 + 0.531488i
\(659\) −15927.9 + 5797.29i −0.941523 + 0.342686i −0.766767 0.641925i \(-0.778136\pi\)
−0.174756 + 0.984612i \(0.555914\pi\)
\(660\) −7459.95 + 236.800i −0.439967 + 0.0139658i
\(661\) 13670.0 11470.5i 0.804389 0.674963i −0.144872 0.989450i \(-0.546277\pi\)
0.949262 + 0.314488i \(0.101833\pi\)
\(662\) 5774.94 4845.75i 0.339048 0.284495i
\(663\) −9814.00 + 18316.9i −0.574878 + 1.07296i
\(664\) 11681.4 4251.68i 0.682720 0.248490i
\(665\) 2694.56 + 4667.11i 0.157129 + 0.272155i
\(666\) −338.239 + 682.462i −0.0196794 + 0.0397070i
\(667\) 5607.26 9712.06i 0.325508 0.563797i
\(668\) −2951.81 + 16740.5i −0.170971 + 0.969627i
\(669\) −314.199 103.193i −0.0181579 0.00596366i
\(670\) −891.662 324.538i −0.0514148 0.0187135i
\(671\) 449.117 + 2547.07i 0.0258390 + 0.146540i
\(672\) −15575.6 12248.8i −0.894112 0.703139i
\(673\) −24248.6 20347.0i −1.38888 1.16541i −0.965792 0.259319i \(-0.916502\pi\)
−0.423087 0.906089i \(-0.639054\pi\)
\(674\) −2736.39 −0.156382
\(675\) 1013.69 482.515i 0.0578029 0.0275141i
\(676\) 6878.81 0.391375
\(677\) 13542.1 + 11363.2i 0.768783 + 0.645085i 0.940397 0.340079i \(-0.110454\pi\)
−0.171614 + 0.985164i \(0.554898\pi\)
\(678\) 2389.93 956.782i 0.135376 0.0541961i
\(679\) 7743.10 + 43913.3i 0.437633 + 2.48194i
\(680\) 14765.9 + 5374.35i 0.832716 + 0.303084i
\(681\) 70.4231 + 336.565i 0.00396273 + 0.0189386i
\(682\) 644.266 3653.81i 0.0361733 0.205149i
\(683\) 3940.12 6824.48i 0.220738 0.382330i −0.734294 0.678832i \(-0.762487\pi\)
0.955032 + 0.296501i \(0.0958199\pi\)
\(684\) 2959.64 + 2179.15i 0.165445 + 0.121815i
\(685\) 1276.31 + 2210.64i 0.0711904 + 0.123305i
\(686\) 557.946 203.076i 0.0310532 0.0113024i
\(687\) −6730.22 10847.1i −0.373761 0.602390i
\(688\) 3069.87 2575.93i 0.170113 0.142742i
\(689\) −9522.16 + 7990.04i −0.526510 + 0.441794i
\(690\) −3472.67 5596.88i −0.191597 0.308797i
\(691\) −21426.4 + 7798.58i −1.17959 + 0.429337i −0.856058 0.516879i \(-0.827094\pi\)
−0.323535 + 0.946216i \(0.604871\pi\)
\(692\) −13984.2 24221.4i −0.768210 1.33058i
\(693\) 1454.59 13042.4i 0.0797334 0.714921i
\(694\) 1916.63 3319.71i 0.104833 0.181577i
\(695\) −1095.07 + 6210.47i −0.0597676 + 0.338959i
\(696\) −1101.70 5265.20i −0.0599995 0.286748i
\(697\) −41270.9 15021.4i −2.24282 0.816321i
\(698\) −705.268 3999.77i −0.0382447 0.216896i
\(699\) 14912.0 5969.83i 0.806899 0.323032i
\(700\) −1193.22 1001.23i −0.0644276 0.0540611i
\(701\) 31049.4 1.67293 0.836463 0.548024i \(-0.184620\pi\)
0.836463 + 0.548024i \(0.184620\pi\)
\(702\) 1735.69 3800.59i 0.0933180 0.204336i
\(703\) −626.074 −0.0335887
\(704\) 3627.08 + 3043.48i 0.194177 + 0.162934i
\(705\) −20385.0 16031.0i −1.08900 0.856401i
\(706\) −1817.89 10309.8i −0.0969083 0.549594i
\(707\) 35128.7 + 12785.8i 1.86867 + 0.680141i
\(708\) 1812.57 + 595.306i 0.0962153 + 0.0316003i
\(709\) −2231.86 + 12657.5i −0.118222 + 0.670470i 0.866882 + 0.498513i \(0.166120\pi\)
−0.985104 + 0.171957i \(0.944991\pi\)
\(710\) −1470.80 + 2547.49i −0.0777437 + 0.134656i
\(711\) 9507.44 + 14290.2i 0.501487 + 0.753763i
\(712\) −2998.28 5193.18i −0.157817 0.273346i
\(713\) −31717.8 + 11544.3i −1.66597 + 0.606365i
\(714\) −6222.36 + 11613.5i −0.326143 + 0.608716i
\(715\) −5342.55 + 4482.93i −0.279441 + 0.234479i
\(716\) 9089.04 7626.61i 0.474404 0.398072i
\(717\) 17767.5 563.990i 0.925438 0.0293760i
\(718\) 2620.93 953.939i 0.136229 0.0495831i
\(719\) −5713.43 9895.95i −0.296349 0.513292i 0.678949 0.734186i \(-0.262436\pi\)
−0.975298 + 0.220894i \(0.929103\pi\)
\(720\) 13316.6 + 3910.14i 0.689279 + 0.202392i
\(721\) −24183.0 + 41886.2i −1.24913 + 2.16356i
\(722\) −950.881 + 5392.72i −0.0490140 + 0.277972i
\(723\) −2750.50 + 2460.80i −0.141483 + 0.126581i
\(724\) 8795.34 + 3201.24i 0.451487 + 0.164328i
\(725\) −111.840 634.276i −0.00572915 0.0324916i
\(726\) −621.605 + 4323.33i −0.0317768 + 0.221011i
\(727\) 25582.4 + 21466.2i 1.30509 + 1.09510i 0.989242 + 0.146288i \(0.0467326\pi\)
0.315846 + 0.948811i \(0.397712\pi\)
\(728\) −12156.2 −0.618872
\(729\) −12889.5 14875.5i −0.654856 0.755754i
\(730\) −5319.36 −0.269697
\(731\) −7296.06 6122.12i −0.369158 0.309760i
\(732\) 765.957 5327.31i 0.0386756 0.268993i
\(733\) 2783.30 + 15784.9i 0.140251 + 0.795400i 0.971059 + 0.238841i \(0.0767676\pi\)
−0.830808 + 0.556559i \(0.812121\pi\)
\(734\) 6073.25 + 2210.48i 0.305405 + 0.111158i
\(735\) −15475.2 + 13845.2i −0.776612 + 0.694813i
\(736\) −3456.74 + 19604.1i −0.173121 + 0.981817i
\(737\) −949.645 + 1644.83i −0.0474635 + 0.0822092i
\(738\) 8472.90 + 2487.89i 0.422618 + 0.124093i
\(739\) −14887.0 25785.0i −0.741038 1.28352i −0.952023 0.306027i \(-0.901000\pi\)
0.210985 0.977489i \(-0.432333\pi\)
\(740\) −2486.17 + 904.890i −0.123504 + 0.0449519i
\(741\) 3432.57 108.959i 0.170173 0.00540179i
\(742\) −6037.33 + 5065.92i −0.298703 + 0.250641i
\(743\) 7095.90 5954.17i 0.350368 0.293994i −0.450570 0.892741i \(-0.648779\pi\)
0.800938 + 0.598748i \(0.204335\pi\)
\(744\) −7646.24 + 14271.0i −0.376781 + 0.703227i
\(745\) −3227.05 + 1174.55i −0.158698 + 0.0577613i
\(746\) −1874.35 3246.48i −0.0919906 0.159332i
\(747\) −14454.4 21725.8i −0.707979 1.06413i
\(748\) 7499.31 12989.2i 0.366580 0.634936i
\(749\) 2325.89 13190.8i 0.113466 0.643497i
\(750\) −5973.40 1961.86i −0.290824 0.0955161i
\(751\) 14447.2 + 5258.35i 0.701978 + 0.255499i 0.668255 0.743932i \(-0.267041\pi\)
0.0337229 + 0.999431i \(0.489264\pi\)
\(752\) 3807.67 + 21594.3i 0.184643 + 1.04716i
\(753\) 20722.2 + 16296.1i 1.00286 + 0.788663i
\(754\) −1836.18 1540.74i −0.0886865 0.0744168i
\(755\) 15753.3 0.759365
\(756\) −11344.6 + 24841.0i −0.545766 + 1.19505i
\(757\) −27010.0 −1.29682 −0.648411 0.761291i \(-0.724566\pi\)
−0.648411 + 0.761291i \(0.724566\pi\)
\(758\) −406.521 341.111i −0.0194795 0.0163453i
\(759\) −12239.5 + 4899.95i −0.585331 + 0.234331i
\(760\) −450.950 2557.47i −0.0215233 0.122065i
\(761\) −20254.5 7372.04i