Properties

Label 27.4.e.a.22.5
Level 27
Weight 4
Character 27.22
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 22.5
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.5

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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 −0.521745 0.853101i \(-0.674719\pi\)
0.749541 + 0.661958i \(0.230274\pi\)
\(3\) 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 0.155217 0.987880i \(-0.450392\pi\)
0.753900 + 0.656989i \(0.228170\pi\)
\(6\) 3.25709 + 2.91402i 0.221617 + 0.198274i
\(7\) −4.63497 26.2862i −0.250265 1.41932i −0.807941 0.589264i \(-0.799418\pi\)
0.557676 0.830059i \(-0.311693\pi\)
\(8\) 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 0.565712 0.824603i \(-0.308601\pi\)
−0.0966840 + 0.995315i \(0.530824\pi\)
\(12\) −37.8743 1.20224i −0.911115 0.0289214i
\(13\) −27.1242 22.7599i −0.578686 0.485575i 0.305830 0.952086i \(-0.401066\pi\)
−0.884515 + 0.466511i \(0.845511\pi\)
\(14\) −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 −0.110145 0.993916i \(-0.535131\pi\)
0.915828 0.401570i \(-0.131535\pi\)
\(18\) −12.5790 + 18.9070i −0.164717 + 0.247578i
\(19\) 9.33302 + 16.1653i 0.112692 + 0.195188i 0.916855 0.399221i \(-0.130719\pi\)
−0.804163 + 0.594409i \(0.797386\pi\)
\(20\) 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 0.653845 + 0.756628i \(0.273155\pi\)
−0.873196 + 0.487370i \(0.837956\pi\)
\(24\) −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 −0.423679 0.905812i \(-0.639262\pi\)
0.818480 + 0.574535i \(0.194817\pi\)
\(30\) 43.8862 + 17.5693i 0.267083 + 0.106923i
\(31\) −42.0656 + 238.566i −0.243716 + 1.38218i 0.579739 + 0.814802i \(0.303154\pi\)
−0.823456 + 0.567381i \(0.807957\pi\)
\(32\) −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 −0.900875 0.434078i \(-0.857074\pi\)
0.826361 + 0.563141i \(0.190407\pi\)
\(38\) 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 −0.135416 0.990789i \(-0.543237\pi\)
−0.999251 + 0.0386895i \(0.987682\pi\)
\(42\) 61.5022 99.1229i 0.225952 0.364166i
\(43\) −79.2414 28.8415i −0.281028 0.102286i 0.197661 0.980270i \(-0.436666\pi\)
−0.478689 + 0.877985i \(0.658888\pi\)
\(44\) −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 0.811828 + 0.583897i \(0.198473\pi\)
−0.563164 + 0.826345i \(0.690416\pi\)
\(48\) 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 −0.393690 0.919243i \(-0.628802\pi\)
0.289294 + 0.957240i \(0.406579\pi\)
\(60\) −389.411 + 127.895i −0.837879 + 0.275187i
\(61\) −24.6637 139.875i −0.0517682 0.293592i 0.947921 0.318504i \(-0.103180\pi\)
−0.999690 + 0.0249123i \(0.992069\pi\)
\(62\) 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 0.567030 0.823697i \(-0.308093\pi\)
−0.712720 + 0.701449i \(0.752537\pi\)
\(68\) 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 −0.698688 0.715427i \(-0.746232\pi\)
0.968922 + 0.247368i \(0.0795657\pi\)
\(72\) −251.340 239.651i −0.411398 0.392266i
\(73\) −292.351 506.366i −0.468727 0.811859i 0.530634 0.847601i \(-0.321954\pi\)
−0.999361 + 0.0357420i \(0.988621\pi\)
\(74\) 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 −0.919926 0.392092i \(-0.871751\pi\)
0.226392 + 0.974036i \(0.427307\pi\)
\(80\) −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 −0.00485076 0.999988i \(-0.501544\pi\)
0.983954 + 0.178423i \(0.0570996\pi\)
\(84\) 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 0.970796 0.239907i \(-0.0771169\pi\)
−0.693163 + 0.720781i \(0.743784\pi\)
\(90\) −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 0.987598 0.157004i \(-0.0501835\pi\)
0.655624 + 0.755088i \(0.272406\pi\)
\(98\) −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 0.832705 + 0.553717i \(0.186791\pi\)
−0.593104 + 0.805126i \(0.702098\pi\)
\(102\) 468.967 154.024i 0.455242 0.149516i
\(103\) 1702.75 619.749i 1.62890 0.592871i 0.643851 0.765151i \(-0.277336\pi\)
0.985048 + 0.172280i \(0.0551134\pi\)
\(104\) 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 −0.101179 0.994868i \(-0.532261\pi\)
0.561982 + 0.827150i \(0.310039\pi\)
\(114\) −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 0.983654 0.180071i \(-0.0576326\pi\)
−0.647773 + 0.761834i \(0.724299\pi\)
\(128\) −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 0.933299 + 0.359099i \(0.116916\pi\)
−0.999834 + 0.0182359i \(0.994195\pi\)
\(132\) −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 −0.584676 0.811267i \(-0.698778\pi\)
0.697414 + 0.716668i \(0.254334\pi\)
\(138\) −478.663 + 376.426i −0.295265 + 0.232199i
\(139\) 101.240 574.163i 0.0617777 0.350359i −0.938213 0.346058i \(-0.887520\pi\)
0.999991 0.00430070i \(-0.00136896\pi\)
\(140\) 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 0.573473 0.819224i \(-0.305596\pi\)
−0.707196 + 0.707018i \(0.750040\pi\)
\(150\) −34.9547 1.10956i −0.0190270 0.000603970i
\(151\) 1368.57 + 498.120i 0.737568 + 0.268453i 0.683365 0.730077i \(-0.260516\pi\)
0.0542035 + 0.998530i \(0.482738\pi\)
\(152\) −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 −0.250978 0.967993i \(-0.580752\pi\)
0.429954 + 0.902851i \(0.358530\pi\)
\(158\) −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 −0.795334 0.606171i \(-0.792705\pi\)
−0.219622 + 0.975585i \(0.570483\pi\)
\(168\) 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 0.976029 0.217642i \(-0.0698364\pi\)
0.607784 + 0.794102i \(0.292059\pi\)
\(174\) 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 −0.644691 0.764444i \(-0.723014\pi\)
0.984373 + 0.176097i \(0.0563471\pi\)
\(180\) −945.767 1908.27i −0.391630 0.790187i
\(181\) −641.734 1111.52i −0.263534 0.456455i 0.703644 0.710553i \(-0.251555\pi\)
−0.967179 + 0.254097i \(0.918222\pi\)
\(182\) 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 −0.672848 0.739781i \(-0.734929\pi\)
0.611703 + 0.791087i \(0.290485\pi\)
\(192\) 1254.31 + 502.147i 0.471468 + 0.188747i
\(193\) −327.542 + 1857.58i −0.122161 + 0.692807i 0.860793 + 0.508955i \(0.169968\pi\)
−0.982954 + 0.183852i \(0.941143\pi\)
\(194\) 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 0.784163 0.620555i \(-0.213092\pi\)
−0.929498 + 0.368828i \(0.879759\pi\)
\(198\) −332.999 + 245.183i −0.119521 + 0.0880021i
\(199\) 525.362 909.953i 0.187145 0.324145i −0.757152 0.653239i \(-0.773410\pi\)
0.944297 + 0.329094i \(0.106743\pi\)
\(200\) −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 −0.722047 0.691844i \(-0.756798\pi\)
−0.108411 + 0.994106i \(0.534576\pi\)
\(212\) −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 0.986422 0.164229i \(-0.0525137\pi\)
−0.983103 + 0.183051i \(0.941403\pi\)
\(224\) 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 0.332913 0.942957i \(-0.391968\pi\)
−0.351095 + 0.936340i \(0.614191\pi\)
\(228\) −334.047 623.469i −0.0970299 0.181098i
\(229\) 1881.94 + 1579.13i 0.543066 + 0.455686i 0.872585 0.488463i \(-0.162442\pi\)
−0.329519 + 0.944149i \(0.606887\pi\)
\(230\) 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 −0.562682 0.826673i \(-0.690231\pi\)
0.997261 + 0.0739605i \(0.0235639\pi\)
\(234\) 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 −0.792527 0.609837i \(-0.791235\pi\)
0.953308 0.302000i \(-0.0976542\pi\)
\(240\) −380.123 2643.79i −0.102237 0.711067i
\(241\) −544.093 + 456.548i −0.145428 + 0.122028i −0.712599 0.701571i \(-0.752482\pi\)
0.567171 + 0.823600i \(0.308038\pi\)
\(242\) −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 −0.985890 0.167394i \(-0.946465\pi\)
0.347978 0.937503i \(-0.386868\pi\)
\(252\) −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 0.756981 0.653437i \(-0.226674\pi\)
−0.512062 + 0.858949i \(0.671118\pi\)
\(258\) −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 −0.952563 0.304342i \(-0.901564\pi\)
0.791025 0.611783i \(-0.209548\pi\)
\(264\) −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 0.959492 0.281736i \(-0.0909101\pi\)
−0.997987 + 0.0634206i \(0.979799\pi\)
\(278\) −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 0.900982 0.433856i \(-0.142847\pi\)
0.411316 + 0.911493i \(0.365069\pi\)
\(282\) −1063.17 + 1713.51i −0.224507 + 0.361837i
\(283\) −5319.40 4463.51i −1.11733 0.937554i −0.118867 0.992910i \(-0.537926\pi\)
−0.998467 + 0.0553558i \(0.982371\pi\)
\(284\) 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 −0.966396 0.257057i \(-0.917247\pi\)
0.996034 + 0.0889726i \(0.0283584\pi\)
\(294\) −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 0.374770 + 0.927118i \(0.377722\pi\)
−0.990293 + 0.138998i \(0.955612\pi\)
\(308\) 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 0.838762 0.544498i \(-0.183280\pi\)
−0.390577 + 0.920570i \(0.627724\pi\)
\(312\) 2365.29 + 75.0810i 0.429193 + 0.0136238i
\(313\) −4008.38 1458.93i −0.723857 0.263462i −0.0462945 0.998928i \(-0.514741\pi\)
−0.677562 + 0.735466i \(0.736963\pi\)
\(314\) 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 −0.673063 0.739585i \(-0.735022\pi\)
0.379519 0.925184i \(-0.376089\pi\)
\(318\) 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 0.787045 + 0.616896i \(0.211610\pi\)
−0.528590 + 0.848878i \(0.677279\pi\)
\(332\) 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 0.418740 0.908106i \(-0.362472\pi\)
−0.821596 + 0.570070i \(0.806916\pi\)
\(338\) −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 0.860362 + 0.509684i \(0.170238\pi\)
−0.982798 + 0.184685i \(0.940874\pi\)
\(348\) −2397.37 + 1885.32i −0.369289 + 0.290413i
\(349\) −3699.15 + 3103.95i −0.567366 + 0.476077i −0.880771 0.473543i \(-0.842975\pi\)
0.313405 + 0.949620i \(0.398530\pi\)
\(350\) 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 −0.496638 + 0.867958i \(0.665432\pi\)
−0.941012 + 0.338374i \(0.890123\pi\)
\(354\) −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 0.961782 0.273816i \(-0.0882860\pi\)
−0.718023 + 0.696019i \(0.754953\pi\)
\(360\) −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 0.799951 0.600065i \(-0.204859\pi\)
0.227084 + 0.973875i \(0.427081\pi\)
\(368\) 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 −0.615938 0.787794i \(-0.711223\pi\)
0.0345481 + 0.999403i \(0.489001\pi\)
\(374\) 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 0.150486 0.988612i \(-0.451916\pi\)
0.750746 + 0.660591i \(0.229694\pi\)
\(384\) 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 −0.119117 0.992880i \(-0.538006\pi\)
−0.729460 + 0.684023i \(0.760229\pi\)
\(390\) −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 0.954882 0.296985i \(-0.0959813\pi\)
−0.734638 + 0.678459i \(0.762648\pi\)
\(398\) −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 −0.998882 0.0472772i \(-0.984946\pi\)
0.954812 + 0.297212i \(0.0960567\pi\)
\(402\) −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 0.872008 + 0.489491i \(0.162817\pi\)
−0.986836 + 0.161726i \(0.948294\pi\)
\(410\) −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 0.890707 0.454577i \(-0.150210\pi\)
−0.293002 + 0.956112i \(0.594654\pi\)
\(420\) 5166.80 + 9643.35i 0.600271 + 1.12035i
\(421\) −5783.44 2105.00i −0.669519 0.243685i −0.0151785 0.999885i \(-0.504832\pi\)
−0.654341 + 0.756200i \(0.727054\pi\)
\(422\) −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 −0.991841 0.127478i \(-0.959312\pi\)
0.888426 0.459019i \(-0.151799\pi\)
\(440\) 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 0.906936 0.421269i \(-0.138415\pi\)
0.423967 + 0.905678i \(0.360637\pi\)
\(444\) 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 −0.648211 0.761461i \(-0.724482\pi\)
0.983550 + 0.180636i \(0.0578157\pi\)
\(450\) −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 −0.592311 0.805710i \(-0.701784\pi\)
0.690615 + 0.723222i \(0.257340\pi\)
\(458\) 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 −0.855788 0.517327i \(-0.826927\pi\)
0.360862 + 0.932619i \(0.382483\pi\)
\(462\) 1669.74 1313.10i 0.168146 0.132231i
\(463\) 56.5577 320.755i 0.00567702 0.0321960i −0.981838 0.189723i \(-0.939241\pi\)
0.987515 + 0.157527i \(0.0503521\pi\)
\(464\) −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 −0.807464 0.589917i \(-0.799160\pi\)
−0.107151 0.994243i \(-0.534173\pi\)
\(468\) −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 0.986847 + 0.161657i \(0.0516840\pi\)
−0.872043 + 0.489430i \(0.837205\pi\)
\(480\) −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 −0.568855 0.822438i \(-0.692614\pi\)
0.0928844 + 0.995677i \(0.470391\pi\)
\(492\) 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 −0.987070 0.160289i \(-0.948757\pi\)
−0.329257 0.944241i \(-0.606798\pi\)
\(500\) −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 0.485918 + 0.874005i \(0.338485\pi\)
−0.999869 + 0.0161853i \(0.994848\pi\)
\(504\) −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 −0.893239 0.449583i \(-0.851573\pi\)
0.993136 0.116964i \(-0.0373163\pi\)
\(510\) 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 0.757114 0.653282i \(-0.226609\pi\)
−0.944316 + 0.329039i \(0.893275\pi\)
\(522\) 202.590 + 1816.50i 0.0169868 + 0.152311i
\(523\) 3394.82 5880.01i 0.283834 0.491615i −0.688492 0.725244i \(-0.741727\pi\)
0.972326 + 0.233629i \(0.0750602\pi\)
\(524\) −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 −0.588019 0.808847i \(-0.700092\pi\)
0.275915 0.961182i \(-0.411019\pi\)
\(548\) 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 0.190021 + 0.981780i \(0.439144\pi\)
−0.945257 + 0.326327i \(0.894189\pi\)
\(558\) −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 −0.930355 0.366659i \(-0.880501\pi\)
0.999653 0.0263470i \(-0.00838748\pi\)
\(564\) −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 −0.363467 0.931607i \(-0.618407\pi\)
0.854339 + 0.519717i \(0.173962\pi\)
\(570\) 125.578 + 873.406i 0.00922785 + 0.0641806i
\(571\) −542.707 + 3077.84i −0.0397751 + 0.225576i −0.998215 0.0597178i \(-0.980980\pi\)
0.958440 + 0.285293i \(0.0920910\pi\)
\(572\) 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 −0.751194 0.660082i \(-0.770522\pi\)
0.947244 + 0.320512i \(0.103855\pi\)
\(578\) −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 −0.989131 0.147034i \(-0.953027\pi\)
0.879191 0.476470i \(-0.158084\pi\)
\(588\) 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 −0.863135 0.504973i \(-0.831502\pi\)
−0.336610 + 0.941644i \(0.609280\pi\)
\(600\) 109.534 523.481i 0.00745282 0.0356184i
\(601\) 4956.51 + 28109.8i 0.336407 + 1.90786i 0.412880 + 0.910786i \(0.364523\pi\)
−0.0764728 + 0.997072i \(0.524366\pi\)
\(602\) 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 0.120646 0.992696i \(-0.461504\pi\)
−0.956664 + 0.291193i \(0.905948\pi\)
\(608\) −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 0.828130 0.560536i \(-0.189405\pi\)
−0.899503 + 0.436914i \(0.856071\pi\)
\(614\) 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 −0.846370 0.532595i \(-0.821217\pi\)
0.977486 0.211000i \(-0.0676720\pi\)
\(618\) 7351.96 + 2943.27i 0.478542 + 0.191579i
\(619\) 4431.85 3718.76i 0.287772 0.241469i −0.487461 0.873145i \(-0.662077\pi\)
0.775233 + 0.631675i \(0.217632\pi\)
\(620\) −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 −0.986155 0.165825i \(-0.946971\pi\)
0.636686 + 0.771123i \(0.280305\pi\)
\(632\) −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 0.717226 + 0.696841i \(0.245412\pi\)
−0.435638 + 0.900122i \(0.643477\pi\)
\(642\) −1634.45 1462.29i −0.100477 0.0898943i
\(643\) 27197.0 9898.91i 1.66803 0.607115i 0.676440 0.736498i \(-0.263522\pi\)
0.991595 + 0.129383i \(0.0412996\pi\)
\(644\) −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 0.675748 0.737133i \(-0.263821\pi\)
0.991473 + 0.130314i \(0.0415986\pi\)
\(654\) −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 −0.174756 0.984612i \(-0.555914\pi\)
−0.766767 + 0.641925i \(0.778136\pi\)
\(660\) −7459.95 236.800i −0.439967 0.0139658i
\(661\) 13670.0 + 11470.5i 0.804389 + 0.674963i 0.949262 0.314488i \(-0.101833\pi\)
−0.144872 + 0.989450i \(0.546277\pi\)
\(662\) 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 −0.423087 + 0.906089i \(0.639054\pi\)
−0.965792 + 0.259319i \(0.916502\pi\)
\(674\) −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 −0.171614 0.985164i \(-0.554898\pi\)
0.940397 + 0.340079i \(0.110454\pi\)
\(678\) 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 0.955032 0.296501i \(-0.0958199\pi\)
−0.734294 + 0.678832i \(0.762487\pi\)
\(684\) 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 −0.323535 0.946216i \(-0.604871\pi\)
−0.856058 + 0.516879i \(0.827094\pi\)
\(692\) −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 −0.985104 0.171957i \(-0.944991\pi\)
0.866882 0.498513i \(-0.166120\pi\)
\(710\) −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 −0.975298 0.220894i \(-0.929103\pi\)
0.678949 + 0.734186i \(0.262436\pi\)
\(720\) 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 0.315846 0.948811i \(-0.397712\pi\)
0.989242 0.146288i \(-0.0467326\pi\)
\(728\) −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 −0.830808 0.556559i \(-0.812121\pi\)
0.971059 0.238841i \(-0.0767676\pi\)
\(734\) 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 0.210985 + 0.977489i \(0.432333\pi\)
−0.952023 + 0.306027i \(0.901000\pi\)
\(740\) −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 0.800938 0.598748i \(-0.204335\pi\)
−0.450570 + 0.892741i \(0.648779\pi\)
\(744\) −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 0.0337229 0.999431i \(-0.489264\pi\)
0.668255 + 0.743932i \(0.267041\pi\)
\(752\) 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