Properties

Label 75.4.g.b.31.6
Level $75$
Weight $4$
Character 75.31
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 31.6
Character \(\chi\) \(=\) 75.31
Dual form 75.4.g.b.46.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.31310 + 4.04131i) q^{2} +(-2.42705 + 1.76336i) q^{3} +(-8.13578 + 5.91099i) q^{4} +(-8.20823 - 7.59111i) q^{5} +(-10.3132 - 7.49299i) q^{6} -28.2853 q^{7} +(-7.06929 - 5.13614i) q^{8} +(2.78115 - 8.55951i) q^{9} +O(q^{10})\) \(q+(1.31310 + 4.04131i) q^{2} +(-2.42705 + 1.76336i) q^{3} +(-8.13578 + 5.91099i) q^{4} +(-8.20823 - 7.59111i) q^{5} +(-10.3132 - 7.49299i) q^{6} -28.2853 q^{7} +(-7.06929 - 5.13614i) q^{8} +(2.78115 - 8.55951i) q^{9} +(19.8998 - 43.1398i) q^{10} +(15.8151 + 48.6738i) q^{11} +(9.32277 - 28.6926i) q^{12} +(-7.92908 + 24.4032i) q^{13} +(-37.1414 - 114.310i) q^{14} +(33.3076 + 3.94999i) q^{15} +(-13.3867 + 41.2000i) q^{16} +(-75.4922 - 54.8483i) q^{17} +38.2435 q^{18} +(95.3899 + 69.3048i) q^{19} +(111.651 + 13.2409i) q^{20} +(68.6499 - 49.8771i) q^{21} +(-175.939 + 127.827i) q^{22} +(-29.1971 - 89.8595i) q^{23} +26.2144 q^{24} +(9.75005 + 124.619i) q^{25} -109.032 q^{26} +(8.34346 + 25.6785i) q^{27} +(230.123 - 167.194i) q^{28} +(-46.7041 + 33.9325i) q^{29} +(27.7731 + 139.793i) q^{30} +(32.7921 + 23.8248i) q^{31} -253.985 q^{32} +(-124.213 - 90.2462i) q^{33} +(122.530 - 377.109i) q^{34} +(232.172 + 214.717i) q^{35} +(27.9683 + 86.0777i) q^{36} +(-126.405 + 389.034i) q^{37} +(-154.825 + 476.504i) q^{38} +(-23.7872 - 73.2096i) q^{39} +(19.0373 + 95.8224i) q^{40} +(31.4511 - 96.7965i) q^{41} +(291.713 + 211.942i) q^{42} -1.56191 q^{43} +(-416.378 - 302.516i) q^{44} +(-87.8045 + 49.1464i) q^{45} +(324.811 - 235.989i) q^{46} +(265.694 - 193.038i) q^{47} +(-40.1601 - 123.600i) q^{48} +457.058 q^{49} +(-490.821 + 203.040i) q^{50} +279.941 q^{51} +(-79.7378 - 245.408i) q^{52} +(368.578 - 267.787i) q^{53} +(-92.8190 + 67.4369i) q^{54} +(239.674 - 519.580i) q^{55} +(199.957 + 145.277i) q^{56} -353.725 q^{57} +(-198.459 - 144.189i) q^{58} +(-120.212 + 369.974i) q^{59} +(-294.332 + 164.745i) q^{60} +(-149.331 - 459.593i) q^{61} +(-53.2242 + 163.807i) q^{62} +(-78.6658 + 242.108i) q^{63} +(-226.414 - 696.831i) q^{64} +(250.331 - 140.116i) q^{65} +(201.608 - 620.486i) q^{66} +(-122.482 - 88.9885i) q^{67} +938.396 q^{68} +(229.317 + 166.609i) q^{69} +(-562.871 + 1220.22i) q^{70} +(-158.586 + 115.220i) q^{71} +(-63.6236 + 46.2253i) q^{72} +(186.191 + 573.037i) q^{73} -1738.19 q^{74} +(-243.412 - 285.264i) q^{75} -1185.73 q^{76} +(-447.334 - 1376.75i) q^{77} +(264.627 - 192.263i) q^{78} +(-484.569 + 352.060i) q^{79} +(422.635 - 236.559i) q^{80} +(-65.5304 - 47.6106i) q^{81} +432.483 q^{82} +(654.378 + 475.434i) q^{83} +(-263.698 + 811.578i) q^{84} +(203.298 + 1023.28i) q^{85} +(-2.05095 - 6.31217i) q^{86} +(53.5181 - 164.712i) q^{87} +(138.194 - 425.318i) q^{88} +(-201.689 - 620.735i) q^{89} +(-313.912 - 290.311i) q^{90} +(224.276 - 690.252i) q^{91} +(768.700 + 558.493i) q^{92} -121.600 q^{93} +(1129.01 + 820.272i) q^{94} +(-256.882 - 1292.99i) q^{95} +(616.435 - 447.866i) q^{96} +(-1258.64 + 914.458i) q^{97} +(600.163 + 1847.11i) q^{98} +460.608 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.31310 + 4.04131i 0.464251 + 1.42882i 0.859922 + 0.510425i \(0.170512\pi\)
−0.395671 + 0.918392i \(0.629488\pi\)
\(3\) −2.42705 + 1.76336i −0.467086 + 0.339358i
\(4\) −8.13578 + 5.91099i −1.01697 + 0.738874i
\(5\) −8.20823 7.59111i −0.734166 0.678970i
\(6\) −10.3132 7.49299i −0.701726 0.509834i
\(7\) −28.2853 −1.52726 −0.763631 0.645652i \(-0.776586\pi\)
−0.763631 + 0.645652i \(0.776586\pi\)
\(8\) −7.06929 5.13614i −0.312421 0.226987i
\(9\) 2.78115 8.55951i 0.103006 0.317019i
\(10\) 19.8998 43.1398i 0.629286 1.36420i
\(11\) 15.8151 + 48.6738i 0.433493 + 1.33415i 0.894623 + 0.446822i \(0.147444\pi\)
−0.461130 + 0.887333i \(0.652556\pi\)
\(12\) 9.32277 28.6926i 0.224271 0.690236i
\(13\) −7.92908 + 24.4032i −0.169164 + 0.520633i −0.999319 0.0368996i \(-0.988252\pi\)
0.830155 + 0.557533i \(0.188252\pi\)
\(14\) −37.1414 114.310i −0.709033 2.18218i
\(15\) 33.3076 + 3.94999i 0.573333 + 0.0679921i
\(16\) −13.3867 + 41.2000i −0.209167 + 0.643751i
\(17\) −75.4922 54.8483i −1.07703 0.782510i −0.0998698 0.995001i \(-0.531843\pi\)
−0.977163 + 0.212490i \(0.931843\pi\)
\(18\) 38.2435 0.500782
\(19\) 95.3899 + 69.3048i 1.15179 + 0.836822i 0.988717 0.149793i \(-0.0478606\pi\)
0.163069 + 0.986615i \(0.447861\pi\)
\(20\) 111.651 + 13.2409i 1.24830 + 0.148037i
\(21\) 68.6499 49.8771i 0.713363 0.518289i
\(22\) −175.939 + 127.827i −1.70501 + 1.23876i
\(23\) −29.1971 89.8595i −0.264696 0.814652i −0.991763 0.128085i \(-0.959117\pi\)
0.727067 0.686567i \(-0.240883\pi\)
\(24\) 26.2144 0.222958
\(25\) 9.75005 + 124.619i 0.0780004 + 0.996953i
\(26\) −109.032 −0.822424
\(27\) 8.34346 + 25.6785i 0.0594703 + 0.183031i
\(28\) 230.123 167.194i 1.55318 1.12845i
\(29\) −46.7041 + 33.9325i −0.299059 + 0.217279i −0.727188 0.686438i \(-0.759173\pi\)
0.428128 + 0.903718i \(0.359173\pi\)
\(30\) 27.7731 + 139.793i 0.169022 + 0.850753i
\(31\) 32.7921 + 23.8248i 0.189988 + 0.138034i 0.678713 0.734403i \(-0.262538\pi\)
−0.488725 + 0.872438i \(0.662538\pi\)
\(32\) −253.985 −1.40308
\(33\) −124.213 90.2462i −0.655235 0.476056i
\(34\) 122.530 377.109i 0.618051 1.90216i
\(35\) 232.172 + 214.717i 1.12126 + 1.03697i
\(36\) 27.9683 + 86.0777i 0.129483 + 0.398508i
\(37\) −126.405 + 389.034i −0.561645 + 1.72856i 0.116072 + 0.993241i \(0.462970\pi\)
−0.677716 + 0.735323i \(0.737030\pi\)
\(38\) −154.825 + 476.504i −0.660948 + 2.03419i
\(39\) −23.7872 73.2096i −0.0976668 0.300588i
\(40\) 19.0373 + 95.8224i 0.0752517 + 0.378771i
\(41\) 31.4511 96.7965i 0.119801 0.368709i −0.873117 0.487510i \(-0.837905\pi\)
0.992918 + 0.118801i \(0.0379051\pi\)
\(42\) 291.713 + 211.942i 1.07172 + 0.778650i
\(43\) −1.56191 −0.00553930 −0.00276965 0.999996i \(-0.500882\pi\)
−0.00276965 + 0.999996i \(0.500882\pi\)
\(44\) −416.378 302.516i −1.42662 1.03650i
\(45\) −87.8045 + 49.1464i −0.290869 + 0.162807i
\(46\) 324.811 235.989i 1.04110 0.756406i
\(47\) 265.694 193.038i 0.824584 0.599095i −0.0934379 0.995625i \(-0.529786\pi\)
0.918022 + 0.396530i \(0.129786\pi\)
\(48\) −40.1601 123.600i −0.120763 0.371670i
\(49\) 457.058 1.33253
\(50\) −490.821 + 203.040i −1.38825 + 0.574285i
\(51\) 279.941 0.768618
\(52\) −79.7378 245.408i −0.212647 0.654460i
\(53\) 368.578 267.787i 0.955246 0.694027i 0.00320401 0.999995i \(-0.498980\pi\)
0.952042 + 0.305968i \(0.0989801\pi\)
\(54\) −92.8190 + 67.4369i −0.233909 + 0.169945i
\(55\) 239.674 519.580i 0.587594 1.27382i
\(56\) 199.957 + 145.277i 0.477150 + 0.346670i
\(57\) −353.725 −0.821966
\(58\) −198.459 144.189i −0.449291 0.326429i
\(59\) −120.212 + 369.974i −0.265259 + 0.816383i 0.726375 + 0.687299i \(0.241204\pi\)
−0.991634 + 0.129084i \(0.958796\pi\)
\(60\) −294.332 + 164.745i −0.633301 + 0.354474i
\(61\) −149.331 459.593i −0.313440 0.964669i −0.976392 0.216007i \(-0.930697\pi\)
0.662952 0.748662i \(-0.269303\pi\)
\(62\) −53.2242 + 163.807i −0.109024 + 0.335541i
\(63\) −78.6658 + 242.108i −0.157317 + 0.484171i
\(64\) −226.414 696.831i −0.442215 1.36100i
\(65\) 250.331 140.116i 0.477688 0.267374i
\(66\) 201.608 620.486i 0.376003 1.15722i
\(67\) −122.482 88.9885i −0.223337 0.162264i 0.470491 0.882405i \(-0.344077\pi\)
−0.693827 + 0.720141i \(0.744077\pi\)
\(68\) 938.396 1.67349
\(69\) 229.317 + 166.609i 0.400095 + 0.290686i
\(70\) −562.871 + 1220.22i −0.961085 + 2.08349i
\(71\) −158.586 + 115.220i −0.265081 + 0.192592i −0.712384 0.701790i \(-0.752385\pi\)
0.447303 + 0.894382i \(0.352385\pi\)
\(72\) −63.6236 + 46.2253i −0.104140 + 0.0756625i
\(73\) 186.191 + 573.037i 0.298521 + 0.918753i 0.982016 + 0.188798i \(0.0604590\pi\)
−0.683495 + 0.729955i \(0.739541\pi\)
\(74\) −1738.19 −2.73055
\(75\) −243.412 285.264i −0.374757 0.439193i
\(76\) −1185.73 −1.78964
\(77\) −447.334 1376.75i −0.662058 2.03760i
\(78\) 264.627 192.263i 0.384143 0.279096i
\(79\) −484.569 + 352.060i −0.690105 + 0.501390i −0.876695 0.481048i \(-0.840256\pi\)
0.186590 + 0.982438i \(0.440256\pi\)
\(80\) 422.635 236.559i 0.590651 0.330602i
\(81\) −65.5304 47.6106i −0.0898908 0.0653095i
\(82\) 432.483 0.582436
\(83\) 654.378 + 475.434i 0.865390 + 0.628743i 0.929346 0.369210i \(-0.120372\pi\)
−0.0639560 + 0.997953i \(0.520372\pi\)
\(84\) −263.698 + 811.578i −0.342521 + 1.05417i
\(85\) 203.298 + 1023.28i 0.259421 + 1.30577i
\(86\) −2.05095 6.31217i −0.00257162 0.00791464i
\(87\) 53.5181 164.712i 0.0659510 0.202976i
\(88\) 138.194 425.318i 0.167404 0.515216i
\(89\) −201.689 620.735i −0.240213 0.739301i −0.996387 0.0849296i \(-0.972933\pi\)
0.756174 0.654371i \(-0.227067\pi\)
\(90\) −313.912 290.311i −0.367658 0.340016i
\(91\) 224.276 690.252i 0.258358 0.795143i
\(92\) 768.700 + 558.493i 0.871114 + 0.632901i
\(93\) −121.600 −0.135584
\(94\) 1129.01 + 820.272i 1.23881 + 0.900049i
\(95\) −256.882 1292.99i −0.277426 1.39639i
\(96\) 616.435 447.866i 0.655360 0.476147i
\(97\) −1258.64 + 914.458i −1.31748 + 0.957207i −0.317523 + 0.948251i \(0.602851\pi\)
−0.999960 + 0.00895679i \(0.997149\pi\)
\(98\) 600.163 + 1847.11i 0.618629 + 1.90394i
\(99\) 460.608 0.467604
\(100\) −815.947 956.242i −0.815947 0.956242i
\(101\) 557.171 0.548916 0.274458 0.961599i \(-0.411502\pi\)
0.274458 + 0.961599i \(0.411502\pi\)
\(102\) 367.590 + 1131.33i 0.356832 + 1.09821i
\(103\) 1081.89 786.036i 1.03497 0.751946i 0.0656689 0.997841i \(-0.479082\pi\)
0.969296 + 0.245895i \(0.0790819\pi\)
\(104\) 181.391 131.788i 0.171028 0.124259i
\(105\) −942.116 111.727i −0.875630 0.103842i
\(106\) 1566.19 + 1137.90i 1.43511 + 1.04267i
\(107\) 330.962 0.299021 0.149511 0.988760i \(-0.452230\pi\)
0.149511 + 0.988760i \(0.452230\pi\)
\(108\) −219.666 159.597i −0.195716 0.142196i
\(109\) −204.383 + 629.026i −0.179599 + 0.552750i −0.999814 0.0193064i \(-0.993854\pi\)
0.820214 + 0.572056i \(0.193854\pi\)
\(110\) 2414.50 + 286.338i 2.09285 + 0.248193i
\(111\) −379.215 1167.10i −0.324266 0.997987i
\(112\) 378.647 1165.36i 0.319453 0.983176i
\(113\) −601.188 + 1850.27i −0.500487 + 1.54034i 0.307741 + 0.951470i \(0.400427\pi\)
−0.808228 + 0.588870i \(0.799573\pi\)
\(114\) −464.476 1429.51i −0.381598 1.17444i
\(115\) −442.477 + 959.226i −0.358793 + 0.777811i
\(116\) 179.399 552.134i 0.143593 0.441934i
\(117\) 186.827 + 135.738i 0.147626 + 0.107256i
\(118\) −1653.03 −1.28961
\(119\) 2135.32 + 1551.40i 1.64491 + 1.19510i
\(120\) −215.174 198.996i −0.163688 0.151382i
\(121\) −1042.22 + 757.216i −0.783035 + 0.568908i
\(122\) 1661.27 1206.98i 1.23282 0.895697i
\(123\) 94.3533 + 290.390i 0.0691671 + 0.212874i
\(124\) −407.617 −0.295203
\(125\) 865.967 1096.92i 0.619636 0.784889i
\(126\) −1081.73 −0.764826
\(127\) 102.078 + 314.165i 0.0713228 + 0.219509i 0.980364 0.197198i \(-0.0631842\pi\)
−0.909041 + 0.416707i \(0.863184\pi\)
\(128\) 874.975 635.707i 0.604200 0.438977i
\(129\) 3.79085 2.75421i 0.00258733 0.00187980i
\(130\) 894.963 + 827.677i 0.603796 + 0.558401i
\(131\) −1025.05 744.740i −0.683655 0.496704i 0.190913 0.981607i \(-0.438855\pi\)
−0.874568 + 0.484903i \(0.838855\pi\)
\(132\) 1544.02 1.01810
\(133\) −2698.13 1960.31i −1.75908 1.27805i
\(134\) 198.798 611.839i 0.128161 0.394439i
\(135\) 126.444 274.111i 0.0806113 0.174754i
\(136\) 251.968 + 775.478i 0.158868 + 0.488946i
\(137\) −581.181 + 1788.69i −0.362435 + 1.11546i 0.589136 + 0.808034i \(0.299468\pi\)
−0.951571 + 0.307428i \(0.900532\pi\)
\(138\) −372.200 + 1145.51i −0.229593 + 0.706613i
\(139\) 133.615 + 411.225i 0.0815329 + 0.250933i 0.983511 0.180850i \(-0.0578848\pi\)
−0.901978 + 0.431782i \(0.857885\pi\)
\(140\) −3158.09 374.522i −1.90648 0.226092i
\(141\) −304.458 + 937.026i −0.181844 + 0.559658i
\(142\) −673.878 489.601i −0.398243 0.289341i
\(143\) −1313.19 −0.767936
\(144\) 315.422 + 229.167i 0.182536 + 0.132620i
\(145\) 640.943 + 76.0101i 0.367086 + 0.0435331i
\(146\) −2071.33 + 1504.91i −1.17414 + 0.853063i
\(147\) −1109.30 + 805.957i −0.622407 + 0.452205i
\(148\) −1271.18 3912.28i −0.706014 2.17289i
\(149\) −1690.41 −0.929420 −0.464710 0.885463i \(-0.653841\pi\)
−0.464710 + 0.885463i \(0.653841\pi\)
\(150\) 833.216 1358.28i 0.453545 0.739355i
\(151\) 859.121 0.463009 0.231504 0.972834i \(-0.425635\pi\)
0.231504 + 0.972834i \(0.425635\pi\)
\(152\) −318.380 979.872i −0.169895 0.522882i
\(153\) −679.430 + 493.635i −0.359011 + 0.260837i
\(154\) 4976.48 3615.63i 2.60400 1.89192i
\(155\) −88.3079 444.488i −0.0457617 0.230336i
\(156\) 626.269 + 455.011i 0.321421 + 0.233526i
\(157\) −2896.96 −1.47263 −0.736315 0.676639i \(-0.763436\pi\)
−0.736315 + 0.676639i \(0.763436\pi\)
\(158\) −2059.07 1496.00i −1.03678 0.753262i
\(159\) −422.352 + 1299.87i −0.210659 + 0.648341i
\(160\) 2084.77 + 1928.03i 1.03010 + 0.952650i
\(161\) 825.849 + 2541.70i 0.404261 + 1.24419i
\(162\) 106.361 327.346i 0.0515834 0.158757i
\(163\) 244.029 751.043i 0.117263 0.360897i −0.875150 0.483852i \(-0.839237\pi\)
0.992412 + 0.122955i \(0.0392372\pi\)
\(164\) 316.284 + 973.422i 0.150595 + 0.463485i
\(165\) 334.502 + 1683.68i 0.157824 + 0.794388i
\(166\) −1062.11 + 3268.83i −0.496600 + 1.52838i
\(167\) −343.147 249.311i −0.159003 0.115522i 0.505439 0.862862i \(-0.331331\pi\)
−0.664442 + 0.747340i \(0.731331\pi\)
\(168\) −741.482 −0.340515
\(169\) 1244.76 + 904.375i 0.566575 + 0.411641i
\(170\) −3868.43 + 2165.25i −1.74526 + 0.976867i
\(171\) 858.509 623.743i 0.383929 0.278941i
\(172\) 12.7074 9.23246i 0.00563331 0.00409284i
\(173\) −1006.87 3098.82i −0.442489 1.36184i −0.885214 0.465184i \(-0.845988\pi\)
0.442724 0.896658i \(-0.354012\pi\)
\(174\) 735.925 0.320634
\(175\) −275.783 3524.89i −0.119127 1.52261i
\(176\) −2217.07 −0.949535
\(177\) −360.636 1109.92i −0.153147 0.471339i
\(178\) 2243.74 1630.17i 0.944806 0.686442i
\(179\) 1818.03 1320.88i 0.759141 0.551548i −0.139506 0.990221i \(-0.544551\pi\)
0.898647 + 0.438673i \(0.144551\pi\)
\(180\) 423.855 918.856i 0.175513 0.380486i
\(181\) 1070.13 + 777.494i 0.439459 + 0.319285i 0.785420 0.618963i \(-0.212447\pi\)
−0.345961 + 0.938249i \(0.612447\pi\)
\(182\) 3084.01 1.25606
\(183\) 1172.86 + 852.132i 0.473772 + 0.344215i
\(184\) −255.128 + 785.203i −0.102219 + 0.314598i
\(185\) 3990.77 2233.73i 1.58598 0.887714i
\(186\) −159.673 491.421i −0.0629449 0.193725i
\(187\) 1475.76 4541.92i 0.577103 1.77614i
\(188\) −1020.58 + 3141.03i −0.395923 + 1.21853i
\(189\) −235.997 726.325i −0.0908269 0.279536i
\(190\) 4888.04 2735.96i 1.86640 1.04467i
\(191\) 975.971 3003.73i 0.369732 1.13792i −0.577233 0.816580i \(-0.695868\pi\)
0.946965 0.321338i \(-0.104132\pi\)
\(192\) 1778.28 + 1292.00i 0.668418 + 0.485634i
\(193\) 864.831 0.322549 0.161274 0.986910i \(-0.448440\pi\)
0.161274 + 0.986910i \(0.448440\pi\)
\(194\) −5348.33 3885.79i −1.97932 1.43806i
\(195\) −360.491 + 781.493i −0.132386 + 0.286994i
\(196\) −3718.53 + 2701.67i −1.35515 + 0.984573i
\(197\) −659.218 + 478.950i −0.238413 + 0.173217i −0.700576 0.713578i \(-0.747073\pi\)
0.462163 + 0.886795i \(0.347073\pi\)
\(198\) 604.824 + 1861.46i 0.217086 + 0.668121i
\(199\) −2504.50 −0.892158 −0.446079 0.894993i \(-0.647180\pi\)
−0.446079 + 0.894993i \(0.647180\pi\)
\(200\) 571.136 931.047i 0.201927 0.329175i
\(201\) 454.189 0.159383
\(202\) 731.621 + 2251.70i 0.254835 + 0.784301i
\(203\) 1321.04 959.791i 0.456742 0.331843i
\(204\) −2277.54 + 1654.73i −0.781664 + 0.567912i
\(205\) −992.951 + 555.779i −0.338296 + 0.189353i
\(206\) 4597.24 + 3340.09i 1.55488 + 1.12968i
\(207\) −850.354 −0.285525
\(208\) −899.268 653.357i −0.299774 0.217799i
\(209\) −1864.73 + 5739.05i −0.617158 + 1.89942i
\(210\) −785.571 3954.09i −0.258141 1.29932i
\(211\) 1318.64 + 4058.36i 0.430232 + 1.32412i 0.897894 + 0.440211i \(0.145096\pi\)
−0.467662 + 0.883907i \(0.654904\pi\)
\(212\) −1415.78 + 4357.32i −0.458661 + 1.41161i
\(213\) 181.724 559.288i 0.0584578 0.179915i
\(214\) 434.585 + 1337.52i 0.138821 + 0.427246i
\(215\) 12.8206 + 11.8567i 0.00406676 + 0.00376101i
\(216\) 72.9062 224.382i 0.0229659 0.0706818i
\(217\) −927.534 673.893i −0.290162 0.210815i
\(218\) −2810.46 −0.873158
\(219\) −1462.36 1062.47i −0.451221 0.327831i
\(220\) 1121.29 + 5643.90i 0.343625 + 1.72960i
\(221\) 1937.06 1407.36i 0.589596 0.428366i
\(222\) 4218.67 3065.05i 1.27540 0.926633i
\(223\) 1224.73 + 3769.33i 0.367776 + 1.13190i 0.948224 + 0.317601i \(0.102877\pi\)
−0.580448 + 0.814297i \(0.697123\pi\)
\(224\) 7184.04 2.14288
\(225\) 1093.80 + 263.129i 0.324087 + 0.0779642i
\(226\) −8266.91 −2.43322
\(227\) 1093.95 + 3366.83i 0.319859 + 0.984424i 0.973708 + 0.227799i \(0.0731530\pi\)
−0.653849 + 0.756625i \(0.726847\pi\)
\(228\) 2877.83 2090.87i 0.835917 0.607329i
\(229\) 1322.80 961.069i 0.381716 0.277333i −0.380336 0.924848i \(-0.624192\pi\)
0.762053 + 0.647515i \(0.224192\pi\)
\(230\) −4457.54 528.624i −1.27792 0.151550i
\(231\) 3513.41 + 2552.64i 1.00072 + 0.727062i
\(232\) 504.447 0.142752
\(233\) −3029.12 2200.79i −0.851693 0.618791i 0.0739191 0.997264i \(-0.476449\pi\)
−0.925612 + 0.378473i \(0.876449\pi\)
\(234\) −303.236 + 933.264i −0.0847143 + 0.260724i
\(235\) −3646.25 432.413i −1.01215 0.120032i
\(236\) −1208.90 3720.60i −0.333443 1.02623i
\(237\) 555.267 1708.93i 0.152188 0.468385i
\(238\) −3465.80 + 10666.6i −0.943926 + 2.90510i
\(239\) 1920.51 + 5910.74i 0.519781 + 1.59972i 0.774410 + 0.632684i \(0.218047\pi\)
−0.254629 + 0.967039i \(0.581953\pi\)
\(240\) −608.619 + 1319.40i −0.163692 + 0.354862i
\(241\) 1721.55 5298.39i 0.460144 1.41618i −0.404844 0.914386i \(-0.632674\pi\)
0.864988 0.501793i \(-0.167326\pi\)
\(242\) −4428.68 3217.62i −1.17639 0.854697i
\(243\) 243.000 0.0641500
\(244\) 3931.57 + 2856.45i 1.03153 + 0.749450i
\(245\) −3751.64 3469.58i −0.978300 0.904749i
\(246\) −1049.66 + 762.621i −0.272048 + 0.197654i
\(247\) −2447.61 + 1778.29i −0.630518 + 0.458098i
\(248\) −109.449 336.849i −0.0280243 0.0862498i
\(249\) −2426.57 −0.617581
\(250\) 5570.08 + 2059.28i 1.40913 + 0.520961i
\(251\) 1301.87 0.327385 0.163692 0.986511i \(-0.447660\pi\)
0.163692 + 0.986511i \(0.447660\pi\)
\(252\) −791.093 2434.73i −0.197755 0.608626i
\(253\) 3912.05 2842.27i 0.972127 0.706292i
\(254\) −1135.60 + 825.060i −0.280526 + 0.203814i
\(255\) −2297.82 2125.06i −0.564294 0.521868i
\(256\) −1024.06 744.024i −0.250015 0.181646i
\(257\) 5574.78 1.35309 0.676547 0.736399i \(-0.263475\pi\)
0.676547 + 0.736399i \(0.263475\pi\)
\(258\) 16.1084 + 11.7034i 0.00388707 + 0.00282412i
\(259\) 3575.40 11004.0i 0.857779 2.63997i
\(260\) −1208.41 + 2619.66i −0.288240 + 0.624863i
\(261\) 160.554 + 494.135i 0.0380769 + 0.117189i
\(262\) 1663.73 5120.45i 0.392312 1.20741i
\(263\) 986.571 3036.35i 0.231310 0.711899i −0.766279 0.642508i \(-0.777894\pi\)
0.997589 0.0693919i \(-0.0221059\pi\)
\(264\) 414.582 + 1275.95i 0.0966506 + 0.297460i
\(265\) −5058.17 599.854i −1.17253 0.139052i
\(266\) 4379.29 13478.1i 1.00944 3.10674i
\(267\) 1584.09 + 1150.91i 0.363088 + 0.263799i
\(268\) 1522.50 0.347020
\(269\) 1803.29 + 1310.17i 0.408732 + 0.296961i 0.773088 0.634299i \(-0.218711\pi\)
−0.364357 + 0.931260i \(0.618711\pi\)
\(270\) 1273.80 + 151.061i 0.287115 + 0.0340493i
\(271\) −3010.95 + 2187.58i −0.674915 + 0.490354i −0.871667 0.490099i \(-0.836961\pi\)
0.196752 + 0.980453i \(0.436961\pi\)
\(272\) 3270.35 2376.05i 0.729022 0.529665i
\(273\) 672.829 + 2070.76i 0.149163 + 0.459076i
\(274\) −7991.80 −1.76205
\(275\) −5911.49 + 2445.43i −1.29628 + 0.536237i
\(276\) −2850.50 −0.621665
\(277\) 2014.40 + 6199.67i 0.436943 + 1.34477i 0.891082 + 0.453842i \(0.149947\pi\)
−0.454139 + 0.890931i \(0.650053\pi\)
\(278\) −1486.44 + 1079.96i −0.320685 + 0.232991i
\(279\) 295.129 214.424i 0.0633294 0.0460115i
\(280\) −538.477 2710.37i −0.114929 0.578483i
\(281\) −4604.78 3345.57i −0.977574 0.710249i −0.0204086 0.999792i \(-0.506497\pi\)
−0.957165 + 0.289543i \(0.906497\pi\)
\(282\) −4186.59 −0.884071
\(283\) 6989.99 + 5078.53i 1.46824 + 1.06674i 0.981119 + 0.193404i \(0.0619529\pi\)
0.487121 + 0.873335i \(0.338047\pi\)
\(284\) 609.161 1874.80i 0.127278 0.391722i
\(285\) 2903.46 + 2685.17i 0.603460 + 0.558090i
\(286\) −1724.36 5307.02i −0.356515 1.09724i
\(287\) −889.604 + 2737.92i −0.182967 + 0.563116i
\(288\) −706.371 + 2173.99i −0.144525 + 0.444803i
\(289\) 1172.54 + 3608.71i 0.238661 + 0.734522i
\(290\) 534.442 + 2690.05i 0.108219 + 0.544708i
\(291\) 1442.28 4438.87i 0.290542 0.894197i
\(292\) −4902.03 3561.53i −0.982430 0.713777i
\(293\) 3697.89 0.737315 0.368657 0.929565i \(-0.379818\pi\)
0.368657 + 0.929565i \(0.379818\pi\)
\(294\) −4713.74 3424.74i −0.935072 0.679369i
\(295\) 3795.24 2124.29i 0.749043 0.419258i
\(296\) 2891.73 2100.96i 0.567832 0.412554i
\(297\) −1117.92 + 812.215i −0.218412 + 0.158685i
\(298\) −2219.67 6831.45i −0.431484 1.32797i
\(299\) 2424.36 0.468912
\(300\) 3666.54 + 882.043i 0.705626 + 0.169749i
\(301\) 44.1792 0.00845996
\(302\) 1128.11 + 3471.97i 0.214952 + 0.661555i
\(303\) −1352.28 + 982.490i −0.256391 + 0.186279i
\(304\) −4132.32 + 3002.30i −0.779621 + 0.566428i
\(305\) −2263.08 + 4906.03i −0.424864 + 0.921044i
\(306\) −2887.09 2097.59i −0.539359 0.391867i
\(307\) 1661.61 0.308902 0.154451 0.988000i \(-0.450639\pi\)
0.154451 + 0.988000i \(0.450639\pi\)
\(308\) 11777.4 + 8556.77i 2.17883 + 1.58301i
\(309\) −1239.73 + 3815.50i −0.228239 + 0.702447i
\(310\) 1680.35 940.536i 0.307864 0.172319i
\(311\) 1747.32 + 5377.69i 0.318589 + 0.980517i 0.974252 + 0.225463i \(0.0723894\pi\)
−0.655663 + 0.755054i \(0.727611\pi\)
\(312\) −207.856 + 639.714i −0.0377164 + 0.116079i
\(313\) 1312.53 4039.55i 0.237024 0.729486i −0.759822 0.650131i \(-0.774714\pi\)
0.996846 0.0793549i \(-0.0252860\pi\)
\(314\) −3804.00 11707.5i −0.683670 2.10412i
\(315\) 2483.58 1390.12i 0.444234 0.248649i
\(316\) 1861.32 5728.57i 0.331353 1.01980i
\(317\) 4090.38 + 2971.83i 0.724727 + 0.526545i 0.887891 0.460054i \(-0.152170\pi\)
−0.163164 + 0.986599i \(0.552170\pi\)
\(318\) −5807.75 −1.02416
\(319\) −2390.25 1736.62i −0.419525 0.304802i
\(320\) −3431.26 + 7438.48i −0.599417 + 1.29945i
\(321\) −803.260 + 583.603i −0.139669 + 0.101475i
\(322\) −9187.37 + 6675.02i −1.59004 + 1.15523i
\(323\) −3399.94 10464.0i −0.585690 1.80257i
\(324\) 814.567 0.139672
\(325\) −3118.41 750.183i −0.532242 0.128039i
\(326\) 3355.63 0.570095
\(327\) −613.149 1887.08i −0.103692 0.319130i
\(328\) −719.497 + 522.746i −0.121121 + 0.0879994i
\(329\) −7515.23 + 5460.14i −1.25936 + 0.914976i
\(330\) −6365.02 + 3562.66i −1.06177 + 0.594297i
\(331\) 7015.22 + 5096.85i 1.16493 + 0.846370i 0.990393 0.138281i \(-0.0441578\pi\)
0.174535 + 0.984651i \(0.444158\pi\)
\(332\) −8134.16 −1.34464
\(333\) 2978.39 + 2163.93i 0.490135 + 0.356104i
\(334\) 556.955 1714.13i 0.0912431 0.280817i
\(335\) 329.840 + 1660.21i 0.0537943 + 0.270768i
\(336\) 1135.94 + 3496.07i 0.184437 + 0.567637i
\(337\) −965.843 + 2972.56i −0.156121 + 0.480492i −0.998273 0.0587493i \(-0.981289\pi\)
0.842152 + 0.539241i \(0.181289\pi\)
\(338\) −2020.35 + 6218.01i −0.325126 + 1.00064i
\(339\) −1803.56 5550.80i −0.288956 0.889316i
\(340\) −7702.57 7123.47i −1.22862 1.13625i
\(341\) −641.036 + 1972.91i −0.101801 + 0.313310i
\(342\) 3648.05 + 2650.46i 0.576794 + 0.419066i
\(343\) −3226.18 −0.507864
\(344\) 11.0416 + 8.02221i 0.00173059 + 0.00125735i
\(345\) −617.543 3108.33i −0.0963692 0.485064i
\(346\) 11201.1 8138.11i 1.74040 1.26447i
\(347\) 4732.69 3438.50i 0.732173 0.531955i −0.158077 0.987427i \(-0.550529\pi\)
0.890250 + 0.455472i \(0.150529\pi\)
\(348\) 538.198 + 1656.40i 0.0829036 + 0.255151i
\(349\) −11843.8 −1.81657 −0.908284 0.418354i \(-0.862607\pi\)
−0.908284 + 0.418354i \(0.862607\pi\)
\(350\) 13883.0 5743.06i 2.12023 0.877084i
\(351\) −692.794 −0.105352
\(352\) −4016.79 12362.4i −0.608226 1.87193i
\(353\) −3774.58 + 2742.39i −0.569124 + 0.413493i −0.834787 0.550573i \(-0.814409\pi\)
0.265663 + 0.964066i \(0.414409\pi\)
\(354\) 4011.99 2914.88i 0.602358 0.437639i
\(355\) 2176.36 + 258.097i 0.325378 + 0.0385869i
\(356\) 5310.05 + 3857.98i 0.790540 + 0.574361i
\(357\) −7918.21 −1.17388
\(358\) 7725.33 + 5612.78i 1.14049 + 0.828617i
\(359\) 767.792 2363.02i 0.112876 0.347397i −0.878622 0.477518i \(-0.841537\pi\)
0.991498 + 0.130121i \(0.0415366\pi\)
\(360\) 873.138 + 103.546i 0.127829 + 0.0151594i
\(361\) 2176.53 + 6698.67i 0.317324 + 0.976624i
\(362\) −1736.90 + 5345.64i −0.252181 + 0.776134i
\(363\) 1194.28 3675.61i 0.172681 0.531458i
\(364\) 2255.41 + 6941.43i 0.324768 + 0.999533i
\(365\) 2821.69 6117.02i 0.404641 0.877204i
\(366\) −1903.64 + 5858.82i −0.271872 + 0.836735i
\(367\) −5413.83 3933.38i −0.770026 0.559456i 0.131943 0.991257i \(-0.457878\pi\)
−0.901969 + 0.431801i \(0.857878\pi\)
\(368\) 4093.07 0.579798
\(369\) −741.060 538.412i −0.104548 0.0759583i
\(370\) 14267.5 + 13194.8i 2.00468 + 1.85396i
\(371\) −10425.3 + 7574.44i −1.45891 + 1.05996i
\(372\) 989.308 718.775i 0.137885 0.100179i
\(373\) −261.296 804.187i −0.0362719 0.111633i 0.931281 0.364301i \(-0.118692\pi\)
−0.967553 + 0.252668i \(0.918692\pi\)
\(374\) 20293.1 2.80570
\(375\) −167.493 + 4189.28i −0.0230648 + 0.576889i
\(376\) −2869.74 −0.393605
\(377\) −457.741 1408.78i −0.0625328 0.192456i
\(378\) 2625.41 1907.47i 0.357240 0.259550i
\(379\) 4787.21 3478.11i 0.648819 0.471394i −0.214050 0.976823i \(-0.568665\pi\)
0.862869 + 0.505428i \(0.168665\pi\)
\(380\) 9732.76 + 9001.02i 1.31389 + 1.21511i
\(381\) −801.734 582.494i −0.107806 0.0783256i
\(382\) 13420.5 1.79752
\(383\) 6237.86 + 4532.07i 0.832218 + 0.604642i 0.920186 0.391481i \(-0.128037\pi\)
−0.0879677 + 0.996123i \(0.528037\pi\)
\(384\) −1002.63 + 3085.79i −0.133243 + 0.410080i
\(385\) −6779.26 + 14696.5i −0.897411 + 1.94546i
\(386\) 1135.61 + 3495.05i 0.149744 + 0.460863i
\(387\) −4.34392 + 13.3692i −0.000570579 + 0.00175606i
\(388\) 4834.69 14879.7i 0.632589 1.94691i
\(389\) −2704.84 8324.65i −0.352548 1.08503i −0.957418 0.288706i \(-0.906775\pi\)
0.604870 0.796324i \(-0.293225\pi\)
\(390\) −3631.61 430.677i −0.471522 0.0559183i
\(391\) −2724.49 + 8385.11i −0.352387 + 1.08453i
\(392\) −3231.08 2347.52i −0.416312 0.302468i
\(393\) 3801.08 0.487886
\(394\) −2801.20 2035.19i −0.358179 0.260232i
\(395\) 6649.98 + 788.628i 0.847080 + 0.100456i
\(396\) −3747.40 + 2722.65i −0.475541 + 0.345501i
\(397\) 10321.5 7498.98i 1.30483 0.948018i 0.304844 0.952402i \(-0.401396\pi\)
0.999990 + 0.00438427i \(0.00139556\pi\)
\(398\) −3288.66 10121.5i −0.414185 1.27473i
\(399\) 10005.2 1.25536
\(400\) −5264.84 1266.54i −0.658104 0.158317i
\(401\) 871.387 0.108516 0.0542581 0.998527i \(-0.482721\pi\)
0.0542581 + 0.998527i \(0.482721\pi\)
\(402\) 596.395 + 1835.52i 0.0739937 + 0.227729i
\(403\) −841.413 + 611.322i −0.104004 + 0.0755636i
\(404\) −4533.02 + 3293.43i −0.558233 + 0.405580i
\(405\) 176.471 + 888.247i 0.0216516 + 0.108981i
\(406\) 5613.46 + 4078.42i 0.686186 + 0.498543i
\(407\) −20934.9 −2.54964
\(408\) −1978.98 1437.81i −0.240133 0.174467i
\(409\) 2044.14 6291.22i 0.247130 0.760588i −0.748149 0.663531i \(-0.769057\pi\)
0.995279 0.0970573i \(-0.0309430\pi\)
\(410\) −3549.92 3283.02i −0.427605 0.395456i
\(411\) −1743.54 5366.08i −0.209252 0.644012i
\(412\) −4155.74 + 12790.0i −0.496938 + 1.52942i
\(413\) 3400.23 10464.8i 0.405120 1.24683i
\(414\) −1116.60 3436.54i −0.132555 0.407963i
\(415\) −1762.22 8869.93i −0.208443 1.04918i
\(416\) 2013.87 6198.04i 0.237351 0.730491i
\(417\) −1049.43 762.453i −0.123239 0.0895383i
\(418\) −25641.8 −3.00044
\(419\) −5771.39 4193.16i −0.672913 0.488900i 0.198086 0.980185i \(-0.436528\pi\)
−0.870999 + 0.491285i \(0.836528\pi\)
\(420\) 8325.27 4659.86i 0.967218 0.541376i
\(421\) 2139.80 1554.66i 0.247714 0.179974i −0.456999 0.889467i \(-0.651076\pi\)
0.704713 + 0.709493i \(0.251076\pi\)
\(422\) −14669.6 + 10658.1i −1.69219 + 1.22945i
\(423\) −913.375 2811.08i −0.104988 0.323119i
\(424\) −3980.98 −0.455975
\(425\) 6099.10 9942.56i 0.696117 1.13479i
\(426\) 2498.88 0.284204
\(427\) 4223.87 + 12999.7i 0.478705 + 1.47330i
\(428\) −2692.63 + 1956.31i −0.304096 + 0.220939i
\(429\) 3187.19 2315.63i 0.358692 0.260605i
\(430\) −31.0817 + 67.3807i −0.00348580 + 0.00755672i
\(431\) 425.104 + 308.856i 0.0475093 + 0.0345176i 0.611286 0.791409i \(-0.290652\pi\)
−0.563777 + 0.825927i \(0.690652\pi\)
\(432\) −1169.65 −0.130266
\(433\) 1490.66 + 1083.03i 0.165442 + 0.120201i 0.667426 0.744676i \(-0.267396\pi\)
−0.501983 + 0.864877i \(0.667396\pi\)
\(434\) 1505.46 4633.34i 0.166508 0.512459i
\(435\) −1689.63 + 945.730i −0.186234 + 0.104240i
\(436\) −2055.35 6325.72i −0.225765 0.694833i
\(437\) 3442.58 10595.2i 0.376845 1.15981i
\(438\) 2373.53 7304.99i 0.258931 0.796908i
\(439\) 1181.87 + 3637.42i 0.128491 + 0.395455i 0.994521 0.104537i \(-0.0333362\pi\)
−0.866030 + 0.499992i \(0.833336\pi\)
\(440\) −4362.96 + 2442.06i −0.472718 + 0.264592i
\(441\) 1271.15 3912.20i 0.137258 0.422438i
\(442\) 8231.10 + 5980.25i 0.885777 + 0.643555i
\(443\) −15578.3 −1.67076 −0.835379 0.549674i \(-0.814752\pi\)
−0.835379 + 0.549674i \(0.814752\pi\)
\(444\) 9983.95 + 7253.76i 1.06716 + 0.775334i
\(445\) −3056.56 + 6626.18i −0.325606 + 0.705867i
\(446\) −13624.8 + 9899.02i −1.44654 + 1.05097i
\(447\) 4102.70 2980.79i 0.434119 0.315406i
\(448\) 6404.19 + 19710.1i 0.675378 + 2.07860i
\(449\) 2594.44 0.272693 0.136346 0.990661i \(-0.456464\pi\)
0.136346 + 0.990661i \(0.456464\pi\)
\(450\) 372.876 + 4765.88i 0.0390612 + 0.499257i
\(451\) 5208.85 0.543848
\(452\) −6045.77 18607.0i −0.629136 1.93628i
\(453\) −2085.13 + 1514.94i −0.216265 + 0.157126i
\(454\) −12169.9 + 8841.96i −1.25807 + 0.914039i
\(455\) −7080.69 + 3963.24i −0.729556 + 0.408350i
\(456\) 2500.59 + 1816.78i 0.256800 + 0.186576i
\(457\) −7450.04 −0.762578 −0.381289 0.924456i \(-0.624520\pi\)
−0.381289 + 0.924456i \(0.624520\pi\)
\(458\) 5620.94 + 4083.85i 0.573470 + 0.416650i
\(459\) 778.558 2396.15i 0.0791720 0.243666i
\(460\) −2070.08 10419.5i −0.209822 1.05611i
\(461\) −2450.21 7540.97i −0.247544 0.761861i −0.995208 0.0977837i \(-0.968825\pi\)
0.747664 0.664077i \(-0.231175\pi\)
\(462\) −5702.54 + 17550.6i −0.574256 + 1.76738i
\(463\) 1541.10 4743.03i 0.154689 0.476085i −0.843440 0.537224i \(-0.819473\pi\)
0.998129 + 0.0611386i \(0.0194732\pi\)
\(464\) −772.806 2378.45i −0.0773203 0.237967i
\(465\) 998.118 + 923.077i 0.0995411 + 0.0920573i
\(466\) 4916.51 15131.5i 0.488740 1.50419i
\(467\) 11243.4 + 8168.80i 1.11409 + 0.809437i 0.983303 0.181973i \(-0.0582485\pi\)
0.130790 + 0.991410i \(0.458248\pi\)
\(468\) −2322.33 −0.229380
\(469\) 3464.44 + 2517.07i 0.341094 + 0.247819i
\(470\) −3040.38 15303.4i −0.298388 1.50190i
\(471\) 7031.08 5108.38i 0.687845 0.499749i
\(472\) 2750.05 1998.03i 0.268181 0.194845i
\(473\) −24.7018 76.0243i −0.00240125 0.00739027i
\(474\) 7635.45 0.739890
\(475\) −7706.65 + 12563.1i −0.744433 + 1.21355i
\(476\) −26542.8 −2.55586
\(477\) −1267.06 3899.60i −0.121624 0.374320i
\(478\) −21365.3 + 15522.8i −2.04440 + 1.48535i
\(479\) −10205.0 + 7414.37i −0.973441 + 0.707247i −0.956233 0.292605i \(-0.905478\pi\)
−0.0172082 + 0.999852i \(0.505478\pi\)
\(480\) −8459.64 1003.24i −0.804433 0.0953986i
\(481\) −8491.41 6169.37i −0.804937 0.584821i
\(482\) 23673.0 2.23708
\(483\) −6486.30 4712.57i −0.611050 0.443954i
\(484\) 4003.37 12321.1i 0.375974 1.15713i
\(485\) 17273.0 + 2048.42i 1.61717 + 0.191781i
\(486\) 319.083 + 982.037i 0.0297817 + 0.0916587i
\(487\) 4414.31 13585.9i 0.410743 1.26414i −0.505261 0.862966i \(-0.668604\pi\)
0.916004 0.401169i \(-0.131396\pi\)
\(488\) −1304.87 + 4015.98i −0.121042 + 0.372530i
\(489\) 732.086 + 2253.13i 0.0677016 + 0.208364i
\(490\) 9095.36 19717.4i 0.838544 1.81784i
\(491\) −6111.06 + 18807.9i −0.561687 + 1.72870i 0.115907 + 0.993260i \(0.463022\pi\)
−0.677595 + 0.735436i \(0.736978\pi\)
\(492\) −2484.13 1804.82i −0.227628 0.165382i
\(493\) 5386.93 0.492120
\(494\) −10400.6 7556.47i −0.947257 0.688222i
\(495\) −3780.77 3496.53i −0.343299 0.317489i
\(496\) −1420.56 + 1032.10i −0.128599 + 0.0934327i
\(497\) 4485.66 3259.02i 0.404848 0.294139i
\(498\) −3186.33 9806.50i −0.286712 0.882410i
\(499\) 16.9960 0.00152474 0.000762369 1.00000i \(-0.499757\pi\)
0.000762369 1.00000i \(0.499757\pi\)
\(500\) −561.458 + 14043.0i −0.0502183 + 1.25604i
\(501\) 1272.46 0.113471
\(502\) 1709.49 + 5261.27i 0.151989 + 0.467773i
\(503\) −14684.3 + 10668.8i −1.30167 + 0.945718i −0.999970 0.00768472i \(-0.997554\pi\)
−0.301699 + 0.953403i \(0.597554\pi\)
\(504\) 1799.61 1307.50i 0.159050 0.115557i
\(505\) −4573.38 4229.54i −0.402996 0.372698i
\(506\) 16623.4 + 12077.6i 1.46047 + 1.06110i
\(507\) −4615.84 −0.404333
\(508\) −2687.51 1952.59i −0.234723 0.170536i
\(509\) −2072.47 + 6378.41i −0.180473 + 0.555438i −0.999841 0.0178295i \(-0.994324\pi\)
0.819368 + 0.573267i \(0.194324\pi\)
\(510\) 5570.76 12076.6i 0.483681 1.04855i
\(511\) −5266.47 16208.5i −0.455920 1.40318i
\(512\) 4335.82 13344.3i 0.374254 1.15183i
\(513\) −983.764 + 3027.71i −0.0846671 + 0.260579i
\(514\) 7320.25 + 22529.4i 0.628175 + 1.93333i
\(515\) −14847.3 1760.75i −1.27039 0.150656i
\(516\) −14.5614 + 44.8153i −0.00124230 + 0.00382342i
\(517\) 13597.9 + 9879.42i 1.15674 + 0.840419i
\(518\) 49165.2 4.17026
\(519\) 7908.03 + 5745.52i 0.668833 + 0.485935i
\(520\) −2489.32 295.211i −0.209931 0.0248959i
\(521\) 8528.10 6196.03i 0.717126 0.521023i −0.168338 0.985729i \(-0.553840\pi\)
0.885465 + 0.464706i \(0.153840\pi\)
\(522\) −1786.13 + 1297.70i −0.149764 + 0.108810i
\(523\) −1993.22 6134.50i −0.166649 0.512893i 0.832505 0.554017i \(-0.186906\pi\)
−0.999154 + 0.0411248i \(0.986906\pi\)
\(524\) 12741.7 1.06226
\(525\) 6884.98 + 8068.79i 0.572352 + 0.670763i
\(526\) 13566.3 1.12456
\(527\) −1168.79 3597.18i −0.0966101 0.297335i
\(528\) 5380.95 3909.49i 0.443515 0.322232i
\(529\) 2621.06 1904.31i 0.215424 0.156514i
\(530\) −4217.69 21229.3i −0.345669 1.73989i
\(531\) 2832.47 + 2057.91i 0.231485 + 0.168184i
\(532\) 33538.8 2.73325
\(533\) 2112.77 + 1535.01i 0.171696 + 0.124745i
\(534\) −2571.10 + 7913.03i −0.208356 + 0.641255i
\(535\) −2716.61 2512.37i −0.219531 0.203026i
\(536\) 408.805 + 1258.17i 0.0329434 + 0.101389i
\(537\) −2083.28 + 6411.68i −0.167412 + 0.515241i
\(538\) −2926.89 + 9008.05i −0.234549 + 0.721867i
\(539\) 7228.41 + 22246.8i 0.577643 + 1.77780i
\(540\) 591.553 + 2977.52i 0.0471414 + 0.237281i
\(541\) 5267.44 16211.5i 0.418604 1.28833i −0.490383 0.871507i \(-0.663143\pi\)
0.908987 0.416824i \(-0.136857\pi\)
\(542\) −12794.3 9295.64i −1.01396 0.736682i
\(543\) −3968.25 −0.313617
\(544\) 19173.9 + 13930.7i 1.51117 + 1.09793i
\(545\) 6452.63 3611.70i 0.507156 0.283868i
\(546\) −7485.06 + 5438.22i −0.586687 + 0.426253i
\(547\) −867.712 + 630.430i −0.0678258 + 0.0492783i −0.621182 0.783667i \(-0.713347\pi\)
0.553356 + 0.832945i \(0.313347\pi\)
\(548\) −5844.58 17987.8i −0.455599 1.40219i
\(549\) −4349.20 −0.338104
\(550\) −17645.1 20679.0i −1.36798 1.60319i
\(551\) −6806.78 −0.526277
\(552\) −765.384 2355.61i −0.0590161 0.181633i
\(553\) 13706.2 9958.12i 1.05397 0.765755i
\(554\) −22409.7 + 16281.6i −1.71858 + 1.24862i
\(555\) −5746.93 + 12458.5i −0.439538 + 0.952855i
\(556\) −3517.81 2555.84i −0.268324 0.194949i
\(557\) −16751.6 −1.27431 −0.637153 0.770737i \(-0.719888\pi\)
−0.637153 + 0.770737i \(0.719888\pi\)
\(558\) 1254.08 + 911.145i 0.0951427 + 0.0691252i
\(559\) 12.3845 38.1157i 0.000937049 0.00288394i
\(560\) −11954.4 + 6691.15i −0.902079 + 0.504916i
\(561\) 4427.28 + 13625.8i 0.333191 + 1.02546i
\(562\) 7473.93 23002.4i 0.560976 1.72651i
\(563\) −6572.37 + 20227.7i −0.491994 + 1.51420i 0.329596 + 0.944122i \(0.393087\pi\)
−0.821590 + 0.570079i \(0.806913\pi\)
\(564\) −3061.75 9423.09i −0.228586 0.703517i
\(565\) 18980.3 10623.7i 1.41328 0.791050i
\(566\) −11345.3 + 34917.3i −0.842543 + 2.59308i
\(567\) 1853.55 + 1346.68i 0.137287 + 0.0997447i
\(568\) 1712.88 0.126533
\(569\) −4490.38 3262.45i −0.330838 0.240368i 0.409948 0.912109i \(-0.365547\pi\)
−0.740786 + 0.671741i \(0.765547\pi\)
\(570\) −7039.05 + 15259.7i −0.517252 + 1.12133i
\(571\) −21937.0 + 15938.2i −1.60777 + 1.16811i −0.737777 + 0.675045i \(0.764124\pi\)
−0.869991 + 0.493067i \(0.835876\pi\)
\(572\) 10683.9 7762.28i 0.780970 0.567408i
\(573\) 2927.91 + 9011.19i 0.213465 + 0.656977i
\(574\) −12232.9 −0.889532
\(575\) 10913.5 4514.65i 0.791523 0.327433i
\(576\) −6594.22 −0.477012
\(577\) 6891.44 + 21209.7i 0.497217 + 1.53028i 0.813473 + 0.581603i \(0.197574\pi\)
−0.316256 + 0.948674i \(0.602426\pi\)
\(578\) −13044.2 + 9477.18i −0.938699 + 0.682005i
\(579\) −2098.99 + 1525.01i −0.150658 + 0.109460i
\(580\) −5663.87 + 3170.21i −0.405481 + 0.226958i
\(581\) −18509.3 13447.8i −1.32168 0.960255i
\(582\) 19832.7 1.41253
\(583\) 18863.3 + 13705.0i 1.34003 + 0.973590i
\(584\) 1626.96 5007.27i 0.115281 0.354799i
\(585\) −503.119 2532.40i −0.0355580 0.178977i
\(586\) 4855.70 + 14944.3i 0.342299 + 1.05349i
\(587\) 5487.65 16889.2i 0.385859 1.18755i −0.549996 0.835167i \(-0.685371\pi\)
0.935855 0.352385i \(-0.114629\pi\)
\(588\) 4261.05 13114.2i 0.298848 0.919761i
\(589\) 1476.86 + 4545.30i 0.103315 + 0.317972i
\(590\) 13568.4 + 12548.3i 0.946787 + 0.875605i
\(591\) 755.396 2324.87i 0.0525767 0.161815i
\(592\) −14336.1 10415.8i −0.995287 0.723118i
\(593\) −8871.70 −0.614363 −0.307181 0.951651i \(-0.599386\pi\)
−0.307181 + 0.951651i \(0.599386\pi\)
\(594\) −4750.35 3451.33i −0.328130 0.238400i
\(595\) −5750.34 28943.7i −0.396203 1.99425i
\(596\) 13752.8 9991.98i 0.945194 0.686724i
\(597\) 6078.56 4416.33i 0.416715 0.302761i
\(598\) 3183.43 + 9797.59i 0.217693 + 0.669989i
\(599\) 9540.36 0.650765 0.325383 0.945582i \(-0.394507\pi\)
0.325383 + 0.945582i \(0.394507\pi\)
\(600\) 255.592 + 3266.81i 0.0173908 + 0.222278i
\(601\) 4070.10 0.276244 0.138122 0.990415i \(-0.455893\pi\)
0.138122 + 0.990415i \(0.455893\pi\)
\(602\) 58.0117 + 178.542i 0.00392754 + 0.0120877i
\(603\) −1102.34 + 800.896i −0.0744457 + 0.0540879i
\(604\) −6989.62 + 5078.26i −0.470867 + 0.342105i
\(605\) 14302.9 + 1696.19i 0.961149 + 0.113984i
\(606\) −5746.22 4174.88i −0.385189 0.279856i
\(607\) −6227.55 −0.416422 −0.208211 0.978084i \(-0.566764\pi\)
−0.208211 + 0.978084i \(0.566764\pi\)
\(608\) −24227.6 17602.4i −1.61605 1.17413i
\(609\) −1513.78 + 4658.92i −0.100725 + 0.309998i
\(610\) −22798.4 2703.69i −1.51325 0.179458i
\(611\) 2604.03 + 8014.39i 0.172419 + 0.530651i
\(612\) 2609.82 8032.21i 0.172379 0.530528i
\(613\) −5480.70 + 16867.9i −0.361115 + 1.11140i 0.591264 + 0.806478i \(0.298629\pi\)
−0.952378 + 0.304919i \(0.901371\pi\)
\(614\) 2181.86 + 6715.07i 0.143408 + 0.441365i
\(615\) 1429.91 3099.83i 0.0937551 0.203248i
\(616\) −3908.86 + 12030.2i −0.255670 + 0.786870i
\(617\) 12925.1 + 9390.66i 0.843349 + 0.612729i 0.923304 0.384070i \(-0.125478\pi\)
−0.0799551 + 0.996798i \(0.525478\pi\)
\(618\) −17047.5 −1.10963
\(619\) −20737.5 15066.7i −1.34654 0.978321i −0.999176 0.0405927i \(-0.987075\pi\)
−0.347368 0.937729i \(-0.612925\pi\)
\(620\) 3345.82 + 3094.27i 0.216728 + 0.200434i
\(621\) 2063.85 1499.48i 0.133365 0.0968953i
\(622\) −19438.5 + 14122.9i −1.25307 + 0.910412i
\(623\) 5704.83 + 17557.7i 0.366869 + 1.12911i
\(624\) 3334.67 0.213932
\(625\) −15434.9 + 2430.09i −0.987832 + 0.155526i
\(626\) 18048.6 1.15234
\(627\) −5594.19 17217.1i −0.356316 1.09663i
\(628\) 23569.1 17123.9i 1.49762 1.08809i
\(629\) 30880.5 22436.0i 1.95753 1.42223i
\(630\) 8879.08 + 8211.53i 0.561510 + 0.519294i
\(631\) −1778.09 1291.85i −0.112178 0.0815022i 0.530282 0.847821i \(-0.322086\pi\)
−0.642460 + 0.766319i \(0.722086\pi\)
\(632\) 5233.79 0.329413
\(633\) −10356.7 7524.61i −0.650305 0.472475i
\(634\) −6639.01 + 20432.8i −0.415881 + 1.27995i
\(635\) 1546.98 3353.63i 0.0966771 0.209582i
\(636\) −4247.33 13072.0i −0.264808 0.814995i
\(637\) −3624.05 + 11153.7i −0.225416 + 0.693760i
\(638\) 3879.57 11940.1i 0.240742 0.740929i
\(639\) 545.171 + 1677.86i 0.0337506 + 0.103874i
\(640\) −12007.7 1424.01i −0.741636 0.0879514i
\(641\) 1908.22 5872.91i 0.117582 0.361881i −0.874895 0.484314i \(-0.839069\pi\)
0.992477 + 0.122432i \(0.0390694\pi\)
\(642\) −3413.28 2479.89i −0.209831 0.152451i
\(643\) −360.943 −0.0221372 −0.0110686 0.999939i \(-0.503523\pi\)
−0.0110686 + 0.999939i \(0.503523\pi\)
\(644\) −21742.9 15797.1i −1.33042 0.966607i
\(645\) −52.0236 6.16954i −0.00317586 0.000376629i
\(646\) 37823.6 27480.4i 2.30364 1.67369i
\(647\) 9252.67 6722.46i 0.562225 0.408481i −0.270047 0.962847i \(-0.587039\pi\)
0.832273 + 0.554366i \(0.187039\pi\)
\(648\) 218.719 + 673.146i 0.0132594 + 0.0408082i
\(649\) −19909.2 −1.20417
\(650\) −1063.07 13587.5i −0.0641494 0.819918i
\(651\) 3439.48 0.207072
\(652\) 2454.04 + 7552.77i 0.147405 + 0.453665i
\(653\) 19192.1 13943.9i 1.15015 0.835631i 0.161647 0.986849i \(-0.448319\pi\)
0.988501 + 0.151217i \(0.0483193\pi\)
\(654\) 6821.13 4955.84i 0.407840 0.296313i
\(655\) 2760.41 + 13894.2i 0.164669 + 0.828844i
\(656\) 3566.99 + 2591.57i 0.212298 + 0.154244i
\(657\) 5422.74 0.322011
\(658\) −31934.3 23201.6i −1.89199 1.37461i
\(659\) 32.5313 100.121i 0.00192297 0.00591830i −0.950090 0.311975i \(-0.899010\pi\)
0.952013 + 0.306056i \(0.0990096\pi\)
\(660\) −12673.6 11720.8i −0.747455 0.691259i
\(661\) −1206.46 3713.10i −0.0709923 0.218492i 0.909265 0.416217i \(-0.136644\pi\)
−0.980257 + 0.197726i \(0.936644\pi\)
\(662\) −11386.3 + 35043.3i −0.668489 + 2.05740i
\(663\) −2219.67 + 6831.45i −0.130022 + 0.400168i
\(664\) −2184.10 6721.96i −0.127650 0.392865i
\(665\) 7265.97 + 36572.5i 0.423703 + 2.13266i
\(666\) −4834.17 + 14878.0i −0.281262 + 0.865635i
\(667\) 4412.78 + 3206.07i 0.256167 + 0.186116i
\(668\) 4265.44 0.247058
\(669\) −9619.16 6988.73i −0.555902 0.403886i
\(670\) −6276.32 + 3513.01i −0.361903 + 0.202566i
\(671\) 20008.4 14537.0i 1.15114 0.836355i
\(672\) −17436.0 + 12668.0i −1.00091 + 0.727202i
\(673\) −1046.24 3219.99i −0.0599249 0.184430i 0.916613 0.399776i \(-0.130912\pi\)
−0.976538 + 0.215346i \(0.930912\pi\)
\(674\) −13281.3 −0.759014
\(675\) −3118.69 + 1290.12i −0.177835 + 0.0735656i
\(676\) −15472.9 −0.880342
\(677\) −2303.07 7088.13i −0.130745 0.402391i 0.864159 0.503219i \(-0.167851\pi\)
−0.994904 + 0.100827i \(0.967851\pi\)
\(678\) 20064.2 14577.5i 1.13652 0.825731i
\(679\) 35601.1 25865.7i 2.01214 1.46191i
\(680\) 3818.53 8278.02i 0.215344 0.466834i
\(681\) −8591.98 6242.44i −0.483474 0.351264i
\(682\) −8814.86 −0.494924
\(683\) 3161.04 + 2296.63i 0.177092 + 0.128665i 0.672800 0.739824i \(-0.265091\pi\)
−0.495708 + 0.868489i \(0.665091\pi\)
\(684\) −3297.70 + 10149.3i −0.184343 + 0.567350i
\(685\) 18348.6 10270.2i 1.02345 0.572852i
\(686\) −4236.29 13038.0i −0.235776 0.725644i
\(687\) −1515.79 + 4665.13i −0.0841792 + 0.259077i
\(688\) 20.9089 64.3509i 0.00115864 0.00356592i
\(689\) 3612.38 + 11117.8i 0.199740 + 0.614737i
\(690\) 11750.8 6577.23i 0.648328 0.362885i
\(691\) 1747.53 5378.34i 0.0962070 0.296095i −0.891359 0.453297i \(-0.850248\pi\)
0.987566 + 0.157203i \(0.0502476\pi\)
\(692\) 26508.7 + 19259.7i 1.45623 + 1.05801i
\(693\) −13028.4 −0.714155
\(694\) 20110.5 + 14611.1i 1.09998 + 0.799181i
\(695\) 2024.91 4389.71i 0.110517 0.239585i
\(696\) −1224.32 + 889.519i −0.0666776 + 0.0484441i
\(697\) −7683.44 + 5582.35i −0.417548 + 0.303367i
\(698\) −15552.0 47864.3i −0.843343 2.59554i
\(699\) 11232.6 0.607806
\(700\) 23079.3 + 27047.6i 1.24617 + 1.46043i
\(701\) −9680.43 −0.521576 −0.260788 0.965396i \(-0.583982\pi\)
−0.260788 + 0.965396i \(0.583982\pi\)
\(702\) −909.707 2799.79i −0.0489098 0.150529i
\(703\) −39019.7 + 28349.5i −2.09340 + 1.52094i
\(704\) 30336.6 22040.9i 1.62408 1.17997i
\(705\) 9612.13 5380.15i 0.513495 0.287416i
\(706\) −16039.3 11653.2i −0.855021 0.621209i
\(707\) −15759.7 −0.838340
\(708\) 9494.80 + 6898.38i 0.504006 + 0.366182i
\(709\) 4228.38 13013.6i 0.223978 0.689332i −0.774416 0.632676i \(-0.781956\pi\)
0.998394 0.0566556i \(-0.0180437\pi\)
\(710\) 1814.73 + 9134.24i 0.0959233 + 0.482819i
\(711\) 1665.80 + 5126.80i 0.0878655 + 0.270422i
\(712\) −1762.38 + 5424.06i −0.0927642 + 0.285499i
\(713\) 1183.45 3642.29i 0.0621608 0.191311i
\(714\) −10397.4 31999.9i −0.544976 1.67726i
\(715\) 10779.0 + 9968.61i 0.563793 + 0.521405i
\(716\) −6983.42 + 21492.8i −0.364501 + 1.12182i
\(717\) −15083.9 10959.1i −0.785661 0.570816i
\(718\) 10557.9 0.548769
\(719\) 1663.89 + 1208.89i 0.0863043 + 0.0627037i 0.630101 0.776513i \(-0.283014\pi\)
−0.543796 + 0.839217i \(0.683014\pi\)
\(720\) −849.419 4275.46i −0.0439666 0.221301i
\(721\) −30601.5 + 22233.3i −1.58066 + 1.14842i
\(722\) −24213.4 + 17592.0i −1.24810 + 0.906797i
\(723\) 5164.65 + 15895.2i 0.265664 + 0.817631i
\(724\) −13302.1 −0.682829
\(725\) −4684.00 5489.38i −0.239944 0.281200i
\(726\) 16422.4 0.839524
\(727\) −6524.34 20079.9i −0.332840 1.02437i −0.967776 0.251811i \(-0.918974\pi\)
0.634937 0.772564i \(-0.281026\pi\)
\(728\) −5130.70 + 3727.68i −0.261204 + 0.189776i
\(729\) −589.773 + 428.495i −0.0299636 + 0.0217698i
\(730\) 28425.9 + 3371.06i 1.44122 + 0.170916i
\(731\) 117.912 + 85.6684i 0.00596600 + 0.00433456i
\(732\) −14579.1 −0.736145
\(733\) −17851.7 12970.0i −0.899546 0.653559i 0.0388032 0.999247i \(-0.487645\pi\)
−0.938349 + 0.345688i \(0.887645\pi\)
\(734\) 8787.08 27043.8i 0.441876 1.35995i
\(735\) 15223.5 + 1805.37i 0.763984 + 0.0906017i
\(736\) 7415.63 + 22823.0i 0.371391 + 1.14302i
\(737\) 2394.34 7369.03i 0.119670 0.368306i
\(738\) 1202.80 3701.84i 0.0599942 0.184643i
\(739\) −7188.18 22123.0i −0.357810 1.10123i −0.954362 0.298652i \(-0.903463\pi\)
0.596552 0.802574i \(-0.296537\pi\)
\(740\) −19264.4 + 41762.5i −0.956993 + 2.07462i
\(741\) 2804.71 8632.02i 0.139047 0.427942i
\(742\) −44300.1 32185.9i −2.19179 1.59243i
\(743\) 6832.84 0.337379 0.168690 0.985669i \(-0.446046\pi\)
0.168690 + 0.985669i \(0.446046\pi\)
\(744\) 859.624 + 624.553i 0.0423593 + 0.0307758i
\(745\) 13875.2 + 12832.1i 0.682349 + 0.631048i
\(746\) 2906.86 2111.96i 0.142664 0.103652i
\(747\) 5889.41 4278.90i 0.288463 0.209581i
\(748\) 14840.8 + 45675.3i 0.725446 + 2.23269i
\(749\) −9361.35 −0.456684
\(750\) −17150.1 + 4824.05i −0.834977 + 0.234866i
\(751\) 14891.3 0.723559 0.361779 0.932264i \(-0.382169\pi\)
0.361779 + 0.932264i \(0.382169\pi\)
\(752\) 4396.41 + 13530.7i 0.213192 + 0.656138i
\(753\) −3159.71 + 2295.67i −0.152917 + 0.111101i
\(754\) 5092.26 3699.74i 0.245954 0.178696i
\(755\) −7051.86 6521.69i −0.339925 0.314369i
\(756\) 6213.32 + 4514.24i 0.298910 + 0.217171i
\(757\) 29331.8 1.40830 0.704149 0.710052i \(-0.251329\pi\)
0.704149 + 0.710052i \(0.251329\pi\)
\(758\) 20342.2 + 14779.5i 0.974751 + 0.708198i
\(759\) −4482.81 + 13796.7i −0.214381 + 0.659798i
\(760\) −4824.98 + 10459.9i −0.230290 + 0.499236i
\(761\) 1359.95 + 4185.49i 0.0647806 + 0.199374i 0.978208 0.207628i \(-0.0665742\pi\)
−0.913427 + 0.407002i \(0.866574\pi\)
\(762\) 1301.28 4004.92i 0.0618640 0.190398i
\(763\) 5781.03 17792.2i 0.274295 0.844195i
\(764\) 9814.73 + 30206.6i 0.464770 + 1.43042i
\(765\) 9324.16 + 1105.76i 0.440674 + 0.0522600i
\(766\) −10124.5 + 31160.1i −0.477565 + 1.46979i
\(767\) −8075.39 5867.11i −0.380163 0.276205i
\(768\) 3797.43 0.178422
\(769\) 18842.4 + 13689.8i 0.883580 + 0.641958i 0.934196 0.356760i \(-0.116119\pi\)
−0.0506164 + 0.998718i \(0.516119\pi\)
\(770\) −68294.7 8099.15i −3.19633 0.379056i