Properties

Label 32.4.g.a.5.1
Level $32$
Weight $4$
Character 32.5
Analytic conductor $1.888$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 32.g (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.88806112018\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(11\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 32.5
Dual form 32.4.g.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.82381 - 0.161516i) q^{2} +(-0.477813 - 1.15354i) q^{3} +(7.94783 + 0.912182i) q^{4} +(-16.3468 - 6.77105i) q^{5} +(1.16294 + 3.33456i) q^{6} +(-18.0222 - 18.0222i) q^{7} +(-22.2958 - 3.85953i) q^{8} +(17.9895 - 17.9895i) q^{9} +O(q^{10})\) \(q+(-2.82381 - 0.161516i) q^{2} +(-0.477813 - 1.15354i) q^{3} +(7.94783 + 0.912182i) q^{4} +(-16.3468 - 6.77105i) q^{5} +(1.16294 + 3.33456i) q^{6} +(-18.0222 - 18.0222i) q^{7} +(-22.2958 - 3.85953i) q^{8} +(17.9895 - 17.9895i) q^{9} +(45.0666 + 21.7604i) q^{10} +(-20.1053 + 48.5384i) q^{11} +(-2.74533 - 9.60400i) q^{12} +(37.8086 - 15.6609i) q^{13} +(47.9805 + 53.8022i) q^{14} +22.0920i q^{15} +(62.3358 + 14.4997i) q^{16} -53.0615i q^{17} +(-53.7046 + 47.8934i) q^{18} +(-32.4427 + 13.4382i) q^{19} +(-123.745 - 68.7264i) q^{20} +(-12.1781 + 29.4006i) q^{21} +(64.6132 - 133.816i) q^{22} +(32.1343 - 32.1343i) q^{23} +(6.20110 + 27.5633i) q^{24} +(132.981 + 132.981i) q^{25} +(-109.294 + 38.1166i) q^{26} +(-60.4929 - 25.0570i) q^{27} +(-126.798 - 159.677i) q^{28} +(-52.0634 - 125.692i) q^{29} +(3.56821 - 62.3836i) q^{30} -53.3354 q^{31} +(-173.683 - 51.0128i) q^{32} +65.5976 q^{33} +(-8.57029 + 149.836i) q^{34} +(172.576 + 416.634i) q^{35} +(159.387 - 126.568i) q^{36} +(-57.3789 - 23.7671i) q^{37} +(93.7826 - 32.7070i) q^{38} +(-36.1309 - 36.1309i) q^{39} +(338.332 + 214.057i) q^{40} +(240.383 - 240.383i) q^{41} +(39.1374 - 81.0549i) q^{42} +(56.3244 - 135.979i) q^{43} +(-204.069 + 367.435i) q^{44} +(-415.879 + 172.263i) q^{45} +(-95.9313 + 85.5509i) q^{46} -314.904i q^{47} +(-13.0588 - 78.8352i) q^{48} +306.601i q^{49} +(-354.035 - 396.993i) q^{50} +(-61.2086 + 25.3534i) q^{51} +(314.782 - 89.9813i) q^{52} +(-177.524 + 428.580i) q^{53} +(166.774 + 80.5268i) q^{54} +(657.312 - 657.312i) q^{55} +(332.263 + 471.378i) q^{56} +(31.0031 + 31.0031i) q^{57} +(126.716 + 363.340i) q^{58} +(-133.963 - 55.4894i) q^{59} +(-20.1519 + 175.583i) q^{60} +(-191.454 - 462.211i) q^{61} +(150.609 + 8.61453i) q^{62} -648.422 q^{63} +(482.208 + 172.103i) q^{64} -724.089 q^{65} +(-185.235 - 10.5951i) q^{66} +(-55.4766 - 133.932i) q^{67} +(48.4018 - 421.723i) q^{68} +(-52.4224 - 21.7141i) q^{69} +(-420.028 - 1204.37i) q^{70} +(191.132 + 191.132i) q^{71} +(-470.523 + 331.660i) q^{72} +(-175.452 + 175.452i) q^{73} +(158.188 + 76.3815i) q^{74} +(89.8593 - 216.940i) q^{75} +(-270.107 + 77.2109i) q^{76} +(1237.11 - 512.428i) q^{77} +(96.1911 + 107.863i) q^{78} +1222.08i q^{79} +(-920.811 - 659.103i) q^{80} -605.154i q^{81} +(-717.622 + 639.971i) q^{82} +(896.581 - 371.376i) q^{83} +(-123.608 + 222.562i) q^{84} +(-359.282 + 867.384i) q^{85} +(-181.012 + 374.882i) q^{86} +(-120.115 + 120.115i) q^{87} +(635.599 - 1004.61i) q^{88} +(883.293 + 883.293i) q^{89} +(1202.19 - 419.266i) q^{90} +(-963.639 - 399.152i) q^{91} +(284.710 - 226.085i) q^{92} +(25.4843 + 61.5246i) q^{93} +(-50.8622 + 889.231i) q^{94} +621.324 q^{95} +(24.1425 + 224.725i) q^{96} -682.976 q^{97} +(49.5210 - 865.783i) q^{98} +(511.499 + 1234.87i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + O(q^{10}) \) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + 116q^{10} - 4q^{11} - 52q^{12} - 4q^{13} - 212q^{14} - 304q^{16} - 184q^{18} - 4q^{19} + 76q^{20} - 4q^{21} + 192q^{22} + 324q^{23} - 48q^{24} - 4q^{25} + 16q^{26} - 268q^{27} + 376q^{28} - 4q^{29} + 1188q^{30} - 752q^{31} + 616q^{32} - 8q^{33} + 528q^{34} - 460q^{35} + 1456q^{36} - 4q^{37} + 980q^{38} + 596q^{39} - 536q^{40} - 4q^{41} - 2264q^{42} + 804q^{43} - 2044q^{44} + 104q^{45} - 1444q^{46} - 2448q^{48} - 3564q^{50} - 1384q^{51} - 2524q^{52} + 748q^{53} - 1088q^{54} - 292q^{55} + 1192q^{56} - 4q^{57} + 3200q^{58} + 1372q^{59} + 5752q^{60} - 1828q^{61} + 3384q^{62} + 2512q^{63} + 4952q^{64} - 8q^{65} + 5996q^{66} + 2036q^{67} + 2768q^{68} - 1060q^{69} + 1400q^{70} + 220q^{71} - 1708q^{72} - 4q^{73} - 3476q^{74} - 1712q^{75} - 5124q^{76} + 1900q^{77} - 11916q^{78} - 10312q^{80} - 6404q^{82} + 2436q^{83} - 6560q^{84} + 496q^{85} - 928q^{86} - 1292q^{87} + 1248q^{88} - 4q^{89} + 7400q^{90} - 3604q^{91} + 10152q^{92} - 112q^{93} + 12840q^{94} - 6088q^{95} + 17792q^{96} - 8q^{97} + 11224q^{98} - 5424q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(31\)
\(\chi(n)\) \(e\left(\frac{1}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.82381 0.161516i −0.998368 0.0571046i
\(3\) −0.477813 1.15354i −0.0919551 0.221999i 0.871210 0.490911i \(-0.163336\pi\)
−0.963165 + 0.268912i \(0.913336\pi\)
\(4\) 7.94783 + 0.912182i 0.993478 + 0.114023i
\(5\) −16.3468 6.77105i −1.46210 0.605621i −0.497057 0.867718i \(-0.665586\pi\)
−0.965042 + 0.262096i \(0.915586\pi\)
\(6\) 1.16294 + 3.33456i 0.0791279 + 0.226888i
\(7\) −18.0222 18.0222i −0.973108 0.973108i 0.0265394 0.999648i \(-0.491551\pi\)
−0.999648 + 0.0265394i \(0.991551\pi\)
\(8\) −22.2958 3.85953i −0.985346 0.170569i
\(9\) 17.9895 17.9895i 0.666279 0.666279i
\(10\) 45.0666 + 21.7604i 1.42513 + 0.688126i
\(11\) −20.1053 + 48.5384i −0.551088 + 1.33044i 0.365575 + 0.930782i \(0.380872\pi\)
−0.916663 + 0.399662i \(0.869128\pi\)
\(12\) −2.74533 9.60400i −0.0660424 0.231036i
\(13\) 37.8086 15.6609i 0.806633 0.334118i 0.0590233 0.998257i \(-0.481201\pi\)
0.747610 + 0.664138i \(0.231201\pi\)
\(14\) 47.9805 + 53.8022i 0.915951 + 1.02709i
\(15\) 22.0920i 0.380275i
\(16\) 62.3358 + 14.4997i 0.973998 + 0.226558i
\(17\) 53.0615i 0.757018i −0.925598 0.378509i \(-0.876437\pi\)
0.925598 0.378509i \(-0.123563\pi\)
\(18\) −53.7046 + 47.8934i −0.703239 + 0.627144i
\(19\) −32.4427 + 13.4382i −0.391730 + 0.162260i −0.569850 0.821749i \(-0.692999\pi\)
0.178120 + 0.984009i \(0.442999\pi\)
\(20\) −123.745 68.7264i −1.38351 0.768384i
\(21\) −12.1781 + 29.4006i −0.126547 + 0.305512i
\(22\) 64.6132 133.816i 0.626163 1.29680i
\(23\) 32.1343 32.1343i 0.291324 0.291324i −0.546279 0.837603i \(-0.683956\pi\)
0.837603 + 0.546279i \(0.183956\pi\)
\(24\) 6.20110 + 27.5633i 0.0527414 + 0.234431i
\(25\) 132.981 + 132.981i 1.06385 + 1.06385i
\(26\) −109.294 + 38.1166i −0.824397 + 0.287511i
\(27\) −60.4929 25.0570i −0.431180 0.178601i
\(28\) −126.798 159.677i −0.855805 1.07772i
\(29\) −52.0634 125.692i −0.333377 0.804842i −0.998320 0.0579483i \(-0.981544\pi\)
0.664943 0.746894i \(-0.268456\pi\)
\(30\) 3.56821 62.3836i 0.0217154 0.379654i
\(31\) −53.3354 −0.309010 −0.154505 0.987992i \(-0.549378\pi\)
−0.154505 + 0.987992i \(0.549378\pi\)
\(32\) −173.683 51.0128i −0.959471 0.281808i
\(33\) 65.5976 0.346033
\(34\) −8.57029 + 149.836i −0.0432292 + 0.755782i
\(35\) 172.576 + 416.634i 0.833446 + 2.01212i
\(36\) 159.387 126.568i 0.737904 0.585963i
\(37\) −57.3789 23.7671i −0.254947 0.105602i 0.251550 0.967844i \(-0.419060\pi\)
−0.506497 + 0.862242i \(0.669060\pi\)
\(38\) 93.7826 32.7070i 0.400357 0.139626i
\(39\) −36.1309 36.1309i −0.148348 0.148348i
\(40\) 338.332 + 214.057i 1.33737 + 0.846135i
\(41\) 240.383 240.383i 0.915647 0.915647i −0.0810624 0.996709i \(-0.525831\pi\)
0.996709 + 0.0810624i \(0.0258313\pi\)
\(42\) 39.1374 81.0549i 0.143787 0.297787i
\(43\) 56.3244 135.979i 0.199753 0.482247i −0.791983 0.610544i \(-0.790951\pi\)
0.991736 + 0.128297i \(0.0409510\pi\)
\(44\) −204.069 + 367.435i −0.699195 + 1.25893i
\(45\) −415.879 + 172.263i −1.37768 + 0.570653i
\(46\) −95.9313 + 85.5509i −0.307485 + 0.274213i
\(47\) 314.904i 0.977309i −0.872477 0.488655i \(-0.837488\pi\)
0.872477 0.488655i \(-0.162512\pi\)
\(48\) −13.0588 78.8352i −0.0392683 0.237060i
\(49\) 306.601i 0.893880i
\(50\) −354.035 396.993i −1.00136 1.12286i
\(51\) −61.2086 + 25.3534i −0.168057 + 0.0696116i
\(52\) 314.782 89.9813i 0.839469 0.239965i
\(53\) −177.524 + 428.580i −0.460089 + 1.11075i 0.508271 + 0.861197i \(0.330285\pi\)
−0.968360 + 0.249557i \(0.919715\pi\)
\(54\) 166.774 + 80.5268i 0.420278 + 0.202932i
\(55\) 657.312 657.312i 1.61149 1.61149i
\(56\) 332.263 + 471.378i 0.792866 + 1.12483i
\(57\) 31.0031 + 31.0031i 0.0720431 + 0.0720431i
\(58\) 126.716 + 363.340i 0.286872 + 0.822566i
\(59\) −133.963 55.4894i −0.295602 0.122442i 0.229954 0.973202i \(-0.426143\pi\)
−0.525556 + 0.850759i \(0.676143\pi\)
\(60\) −20.1519 + 175.583i −0.0433600 + 0.377795i
\(61\) −191.454 462.211i −0.401855 0.970164i −0.987216 0.159391i \(-0.949047\pi\)
0.585360 0.810773i \(-0.300953\pi\)
\(62\) 150.609 + 8.61453i 0.308506 + 0.0176459i
\(63\) −648.422 −1.29672
\(64\) 482.208 + 172.103i 0.941813 + 0.336139i
\(65\) −724.089 −1.38173
\(66\) −185.235 10.5951i −0.345468 0.0197601i
\(67\) −55.4766 133.932i −0.101157 0.244216i 0.865196 0.501434i \(-0.167194\pi\)
−0.966353 + 0.257218i \(0.917194\pi\)
\(68\) 48.4018 421.723i 0.0863173 0.752081i
\(69\) −52.4224 21.7141i −0.0914625 0.0378850i
\(70\) −420.028 1204.37i −0.717185 2.05643i
\(71\) 191.132 + 191.132i 0.319482 + 0.319482i 0.848568 0.529086i \(-0.177465\pi\)
−0.529086 + 0.848568i \(0.677465\pi\)
\(72\) −470.523 + 331.660i −0.770161 + 0.542869i
\(73\) −175.452 + 175.452i −0.281302 + 0.281302i −0.833628 0.552326i \(-0.813740\pi\)
0.552326 + 0.833628i \(0.313740\pi\)
\(74\) 158.188 + 76.3815i 0.248500 + 0.119989i
\(75\) 89.8593 216.940i 0.138347 0.334000i
\(76\) −270.107 + 77.2109i −0.407676 + 0.116535i
\(77\) 1237.11 512.428i 1.83093 0.758398i
\(78\) 96.1911 + 107.863i 0.139635 + 0.156577i
\(79\) 1222.08i 1.74043i 0.492668 + 0.870217i \(0.336022\pi\)
−0.492668 + 0.870217i \(0.663978\pi\)
\(80\) −920.811 659.103i −1.28687 0.921124i
\(81\) 605.154i 0.830116i
\(82\) −717.622 + 639.971i −0.966440 + 0.861865i
\(83\) 896.581 371.376i 1.18569 0.491131i 0.299344 0.954145i \(-0.403232\pi\)
0.886351 + 0.463015i \(0.153232\pi\)
\(84\) −123.608 + 222.562i −0.160557 + 0.289090i
\(85\) −359.282 + 867.384i −0.458466 + 1.10684i
\(86\) −181.012 + 374.882i −0.226966 + 0.470053i
\(87\) −120.115 + 120.115i −0.148019 + 0.148019i
\(88\) 635.599 1004.61i 0.769944 1.21695i
\(89\) 883.293 + 883.293i 1.05201 + 1.05201i 0.998571 + 0.0534390i \(0.0170183\pi\)
0.0534390 + 0.998571i \(0.482982\pi\)
\(90\) 1202.19 419.266i 1.40802 0.491050i
\(91\) −963.639 399.152i −1.11007 0.459808i
\(92\) 284.710 226.085i 0.322642 0.256207i
\(93\) 25.4843 + 61.5246i 0.0284151 + 0.0686001i
\(94\) −50.8622 + 889.231i −0.0558088 + 0.975715i
\(95\) 621.324 0.671016
\(96\) 24.1425 + 224.725i 0.0256670 + 0.238915i
\(97\) −682.976 −0.714904 −0.357452 0.933932i \(-0.616354\pi\)
−0.357452 + 0.933932i \(0.616354\pi\)
\(98\) 49.5210 865.783i 0.0510446 0.892421i
\(99\) 511.499 + 1234.87i 0.519268 + 1.25362i
\(100\) 935.609 + 1178.21i 0.935609 + 1.17821i
\(101\) 919.967 + 381.063i 0.906338 + 0.375417i 0.786654 0.617395i \(-0.211812\pi\)
0.119684 + 0.992812i \(0.461812\pi\)
\(102\) 176.937 61.7072i 0.171758 0.0599012i
\(103\) −188.265 188.265i −0.180100 0.180100i 0.611299 0.791400i \(-0.290647\pi\)
−0.791400 + 0.611299i \(0.790647\pi\)
\(104\) −903.419 + 203.248i −0.851803 + 0.191636i
\(105\) 398.146 398.146i 0.370049 0.370049i
\(106\) 570.516 1181.56i 0.522768 1.08267i
\(107\) −48.3932 + 116.832i −0.0437229 + 0.105556i −0.944232 0.329280i \(-0.893194\pi\)
0.900509 + 0.434837i \(0.143194\pi\)
\(108\) −457.931 254.329i −0.408004 0.226600i
\(109\) 394.289 163.320i 0.346477 0.143516i −0.202657 0.979250i \(-0.564958\pi\)
0.549134 + 0.835734i \(0.314958\pi\)
\(110\) −1962.29 + 1749.96i −1.70088 + 1.51684i
\(111\) 77.5452i 0.0663087i
\(112\) −862.113 1384.75i −0.727339 1.16827i
\(113\) 914.060i 0.760952i −0.924791 0.380476i \(-0.875760\pi\)
0.924791 0.380476i \(-0.124240\pi\)
\(114\) −82.5394 92.5543i −0.0678116 0.0760395i
\(115\) −742.874 + 307.709i −0.602377 + 0.249513i
\(116\) −299.136 1046.47i −0.239432 0.837606i
\(117\) 398.428 961.891i 0.314827 0.760059i
\(118\) 369.324 + 178.329i 0.288128 + 0.139123i
\(119\) −956.286 + 956.286i −0.736660 + 0.736660i
\(120\) 85.2647 492.559i 0.0648630 0.374702i
\(121\) −1010.60 1010.60i −0.759276 0.759276i
\(122\) 465.976 + 1336.12i 0.345799 + 0.991529i
\(123\) −392.150 162.434i −0.287471 0.119074i
\(124\) −423.901 48.6516i −0.306995 0.0352342i
\(125\) −427.009 1030.89i −0.305543 0.737645i
\(126\) 1831.02 + 104.731i 1.29461 + 0.0740488i
\(127\) −2159.36 −1.50876 −0.754379 0.656439i \(-0.772062\pi\)
−0.754379 + 0.656439i \(0.772062\pi\)
\(128\) −1333.87 563.871i −0.921081 0.389372i
\(129\) −183.770 −0.125427
\(130\) 2044.69 + 116.952i 1.37947 + 0.0789029i
\(131\) −896.246 2163.73i −0.597751 1.44310i −0.875867 0.482552i \(-0.839710\pi\)
0.278116 0.960547i \(-0.410290\pi\)
\(132\) 521.359 + 59.8370i 0.343776 + 0.0394556i
\(133\) 826.876 + 342.503i 0.539092 + 0.223299i
\(134\) 135.023 + 387.160i 0.0870466 + 0.249594i
\(135\) 819.201 + 819.201i 0.522264 + 0.522264i
\(136\) −204.793 + 1183.05i −0.129124 + 0.745924i
\(137\) −118.307 + 118.307i −0.0737786 + 0.0737786i −0.743033 0.669255i \(-0.766614\pi\)
0.669255 + 0.743033i \(0.266614\pi\)
\(138\) 144.524 + 69.7835i 0.0891499 + 0.0430461i
\(139\) 924.203 2231.22i 0.563956 1.36151i −0.342623 0.939473i \(-0.611315\pi\)
0.906579 0.422037i \(-0.138685\pi\)
\(140\) 991.554 + 3468.76i 0.598583 + 2.09403i
\(141\) −363.255 + 150.465i −0.216962 + 0.0898686i
\(142\) −508.851 570.593i −0.300717 0.337205i
\(143\) 2150.04i 1.25731i
\(144\) 1382.24 860.549i 0.799905 0.498003i
\(145\) 2407.18i 1.37866i
\(146\) 523.780 467.104i 0.296907 0.264779i
\(147\) 353.677 146.498i 0.198441 0.0821968i
\(148\) −434.358 241.237i −0.241243 0.133983i
\(149\) 366.708 885.311i 0.201623 0.486762i −0.790434 0.612547i \(-0.790145\pi\)
0.992058 + 0.125785i \(0.0401450\pi\)
\(150\) −288.785 + 598.083i −0.157195 + 0.325555i
\(151\) 1212.74 1212.74i 0.653584 0.653584i −0.300270 0.953854i \(-0.597077\pi\)
0.953854 + 0.300270i \(0.0970768\pi\)
\(152\) 775.202 174.402i 0.413666 0.0930651i
\(153\) −954.551 954.551i −0.504385 0.504385i
\(154\) −3576.14 + 1247.19i −1.87125 + 0.652606i
\(155\) 871.861 + 361.137i 0.451804 + 0.187143i
\(156\) −254.204 320.120i −0.130465 0.164296i
\(157\) 896.752 + 2164.95i 0.455851 + 1.10052i 0.970062 + 0.242858i \(0.0780848\pi\)
−0.514211 + 0.857664i \(0.671915\pi\)
\(158\) 197.385 3450.91i 0.0993868 1.73759i
\(159\) 579.208 0.288894
\(160\) 2493.74 + 2009.91i 1.23217 + 0.993108i
\(161\) −1158.26 −0.566980
\(162\) −97.7422 + 1708.84i −0.0474034 + 0.828761i
\(163\) 363.960 + 878.678i 0.174893 + 0.422229i 0.986882 0.161444i \(-0.0516150\pi\)
−0.811989 + 0.583673i \(0.801615\pi\)
\(164\) 2129.79 1691.25i 1.01408 0.805270i
\(165\) −1072.31 444.165i −0.505934 0.209565i
\(166\) −2591.76 + 903.884i −1.21181 + 0.422621i
\(167\) 800.950 + 800.950i 0.371134 + 0.371134i 0.867890 0.496756i \(-0.165476\pi\)
−0.496756 + 0.867890i \(0.665476\pi\)
\(168\) 384.994 608.509i 0.176803 0.279450i
\(169\) −369.282 + 369.282i −0.168085 + 0.168085i
\(170\) 1154.64 2391.30i 0.520923 1.07885i
\(171\) −341.882 + 825.376i −0.152891 + 0.369112i
\(172\) 571.694 1029.36i 0.253438 0.456326i
\(173\) 217.486 90.0857i 0.0955790 0.0395901i −0.334382 0.942438i \(-0.608527\pi\)
0.429961 + 0.902848i \(0.358527\pi\)
\(174\) 358.581 319.780i 0.156230 0.139325i
\(175\) 4793.23i 2.07048i
\(176\) −1957.07 + 2734.16i −0.838181 + 1.17100i
\(177\) 181.046i 0.0768826i
\(178\) −2351.59 2636.92i −0.990219 1.11037i
\(179\) −1959.23 + 811.539i −0.818099 + 0.338868i −0.752180 0.658957i \(-0.770998\pi\)
−0.0659185 + 0.997825i \(0.520998\pi\)
\(180\) −3462.47 + 989.756i −1.43376 + 0.409845i
\(181\) −468.260 + 1130.48i −0.192295 + 0.464242i −0.990392 0.138287i \(-0.955840\pi\)
0.798097 + 0.602529i \(0.205840\pi\)
\(182\) 2656.67 + 1282.77i 1.08201 + 0.522448i
\(183\) −441.700 + 441.700i −0.178423 + 0.178423i
\(184\) −840.484 + 592.437i −0.336746 + 0.237364i
\(185\) 777.031 + 777.031i 0.308803 + 0.308803i
\(186\) −62.0257 177.850i −0.0244513 0.0701108i
\(187\) 2575.52 + 1066.82i 1.00717 + 0.417183i
\(188\) 287.250 2502.81i 0.111436 0.970935i
\(189\) 638.634 + 1541.80i 0.245787 + 0.593383i
\(190\) −1754.50 100.354i −0.669921 0.0383181i
\(191\) 5115.66 1.93799 0.968996 0.247078i \(-0.0794705\pi\)
0.968996 + 0.247078i \(0.0794705\pi\)
\(192\) −31.8771 638.480i −0.0119819 0.239991i
\(193\) 4101.82 1.52982 0.764910 0.644137i \(-0.222783\pi\)
0.764910 + 0.644137i \(0.222783\pi\)
\(194\) 1928.60 + 110.312i 0.713737 + 0.0408243i
\(195\) 345.979 + 835.267i 0.127057 + 0.306742i
\(196\) −279.676 + 2436.81i −0.101923 + 0.888050i
\(197\) −2365.10 979.657i −0.855363 0.354303i −0.0884706 0.996079i \(-0.528198\pi\)
−0.766892 + 0.641776i \(0.778198\pi\)
\(198\) −1244.93 3569.65i −0.446833 1.28123i
\(199\) −3419.40 3419.40i −1.21807 1.21807i −0.968309 0.249757i \(-0.919649\pi\)
−0.249757 0.968309i \(-0.580351\pi\)
\(200\) −2451.68 3478.17i −0.866800 1.22972i
\(201\) −127.989 + 127.989i −0.0449138 + 0.0449138i
\(202\) −2536.27 1224.64i −0.883421 0.426561i
\(203\) −1326.95 + 3203.55i −0.458787 + 1.10761i
\(204\) −509.603 + 145.671i −0.174899 + 0.0499953i
\(205\) −5557.13 + 2301.84i −1.89330 + 0.784231i
\(206\) 501.218 + 562.034i 0.169522 + 0.190091i
\(207\) 1156.16i 0.388206i
\(208\) 2583.91 428.017i 0.861356 0.142681i
\(209\) 1844.90i 0.610594i
\(210\) −1188.60 + 1059.98i −0.390576 + 0.348313i
\(211\) 4175.73 1729.64i 1.36241 0.564330i 0.422692 0.906273i \(-0.361085\pi\)
0.939720 + 0.341944i \(0.111085\pi\)
\(212\) −1801.87 + 3244.34i −0.583740 + 1.05105i
\(213\) 129.154 311.805i 0.0415468 0.100303i
\(214\) 155.524 322.094i 0.0496793 0.102887i
\(215\) −1841.44 + 1841.44i −0.584118 + 0.584118i
\(216\) 1252.03 + 792.141i 0.394398 + 0.249529i
\(217\) 961.222 + 961.222i 0.300701 + 0.300701i
\(218\) −1139.78 + 397.500i −0.354107 + 0.123496i
\(219\) 286.224 + 118.558i 0.0883160 + 0.0365817i
\(220\) 5823.79 4624.61i 1.78473 1.41723i
\(221\) −830.988 2006.18i −0.252934 0.610636i
\(222\) 12.5248 218.973i 0.00378653 0.0662005i
\(223\) 717.256 0.215386 0.107693 0.994184i \(-0.465654\pi\)
0.107693 + 0.994184i \(0.465654\pi\)
\(224\) 2210.79 + 4049.51i 0.659439 + 1.20790i
\(225\) 4784.54 1.41764
\(226\) −147.635 + 2581.13i −0.0434538 + 0.759710i
\(227\) −2316.16 5591.71i −0.677221 1.63496i −0.769056 0.639181i \(-0.779273\pi\)
0.0918358 0.995774i \(-0.470727\pi\)
\(228\) 218.127 + 274.687i 0.0633587 + 0.0797878i
\(229\) −197.065 81.6271i −0.0568665 0.0235549i 0.354069 0.935219i \(-0.384798\pi\)
−0.410935 + 0.911664i \(0.634798\pi\)
\(230\) 2147.44 748.925i 0.615643 0.214707i
\(231\) −1182.21 1182.21i −0.336727 0.336727i
\(232\) 675.683 + 3003.35i 0.191210 + 0.849912i
\(233\) −4600.59 + 4600.59i −1.29354 + 1.29354i −0.360955 + 0.932583i \(0.617549\pi\)
−0.932583 + 0.360955i \(0.882451\pi\)
\(234\) −1280.45 + 2651.85i −0.357716 + 0.740840i
\(235\) −2132.23 + 5147.67i −0.591879 + 1.42892i
\(236\) −1014.10 563.219i −0.279713 0.155349i
\(237\) 1409.72 583.924i 0.386375 0.160042i
\(238\) 2854.83 2545.92i 0.777525 0.693392i
\(239\) 1366.19i 0.369755i −0.982762 0.184878i \(-0.940811\pi\)
0.982762 0.184878i \(-0.0591889\pi\)
\(240\) −320.328 + 1377.12i −0.0861544 + 0.370387i
\(241\) 1568.87i 0.419336i −0.977773 0.209668i \(-0.932762\pi\)
0.977773 0.209668i \(-0.0672382\pi\)
\(242\) 2690.51 + 3016.96i 0.714679 + 0.801395i
\(243\) −2331.38 + 965.689i −0.615465 + 0.254934i
\(244\) −1100.02 3848.21i −0.288614 1.00966i
\(245\) 2076.01 5011.93i 0.541353 1.30694i
\(246\) 1081.12 + 522.021i 0.280202 + 0.135296i
\(247\) −1016.16 + 1016.16i −0.261768 + 0.261768i
\(248\) 1189.16 + 205.850i 0.304482 + 0.0527076i
\(249\) −856.796 856.796i −0.218061 0.218061i
\(250\) 1039.29 + 2980.01i 0.262921 + 0.753889i
\(251\) 1774.13 + 734.870i 0.446144 + 0.184799i 0.594433 0.804145i \(-0.297377\pi\)
−0.148289 + 0.988944i \(0.547377\pi\)
\(252\) −5153.55 591.479i −1.28827 0.147856i
\(253\) 913.678 + 2205.81i 0.227045 + 0.548136i
\(254\) 6097.63 + 348.771i 1.50630 + 0.0861570i
\(255\) 1172.23 0.287875
\(256\) 3675.52 + 1807.71i 0.897343 + 0.441334i
\(257\) 805.660 0.195547 0.0977737 0.995209i \(-0.468828\pi\)
0.0977737 + 0.995209i \(0.468828\pi\)
\(258\) 518.932 + 29.6818i 0.125222 + 0.00716244i
\(259\) 605.759 + 1462.43i 0.145328 + 0.350854i
\(260\) −5754.94 660.502i −1.37272 0.157548i
\(261\) −3197.74 1324.55i −0.758371 0.314128i
\(262\) 2181.35 + 6254.73i 0.514368 + 1.47488i
\(263\) 2159.44 + 2159.44i 0.506300 + 0.506300i 0.913389 0.407089i \(-0.133456\pi\)
−0.407089 + 0.913389i \(0.633456\pi\)
\(264\) −1462.55 253.176i −0.340962 0.0590224i
\(265\) 5803.87 5803.87i 1.34539 1.34539i
\(266\) −2279.62 1100.72i −0.525461 0.253720i
\(267\) 596.867 1440.96i 0.136808 0.330283i
\(268\) −318.748 1115.08i −0.0726516 0.254157i
\(269\) 2403.35 995.499i 0.544738 0.225638i −0.0933062 0.995637i \(-0.529744\pi\)
0.638045 + 0.769999i \(0.279744\pi\)
\(270\) −2180.96 2445.58i −0.491588 0.551235i
\(271\) 363.916i 0.0815731i −0.999168 0.0407866i \(-0.987014\pi\)
0.999168 0.0407866i \(-0.0129864\pi\)
\(272\) 769.377 3307.63i 0.171509 0.737333i
\(273\) 1302.32i 0.288717i
\(274\) 353.186 314.969i 0.0778713 0.0694451i
\(275\) −9128.32 + 3781.08i −2.00167 + 0.829118i
\(276\) −396.837 220.398i −0.0865463 0.0480667i
\(277\) 236.874 571.865i 0.0513805 0.124043i −0.896105 0.443842i \(-0.853615\pi\)
0.947486 + 0.319798i \(0.103615\pi\)
\(278\) −2970.15 + 6151.28i −0.640784 + 1.32708i
\(279\) −959.479 + 959.479i −0.205887 + 0.205887i
\(280\) −2239.70 9955.27i −0.478028 2.12479i
\(281\) −5905.54 5905.54i −1.25372 1.25372i −0.954040 0.299680i \(-0.903120\pi\)
−0.299680 0.954040i \(-0.596880\pi\)
\(282\) 1050.07 366.214i 0.221740 0.0773324i
\(283\) −2127.03 881.046i −0.446781 0.185063i 0.147938 0.988997i \(-0.452736\pi\)
−0.594719 + 0.803934i \(0.702736\pi\)
\(284\) 1344.74 + 1693.43i 0.280970 + 0.353827i
\(285\) −296.877 716.723i −0.0617033 0.148965i
\(286\) 347.266 6071.30i 0.0717981 1.25526i
\(287\) −8664.47 −1.78205
\(288\) −4042.17 + 2206.78i −0.827038 + 0.451512i
\(289\) 2097.48 0.426924
\(290\) 388.799 6797.43i 0.0787278 1.37641i
\(291\) 326.334 + 787.841i 0.0657391 + 0.158708i
\(292\) −1554.50 + 1234.41i −0.311542 + 0.247393i
\(293\) 1783.51 + 738.755i 0.355610 + 0.147299i 0.553335 0.832959i \(-0.313355\pi\)
−0.197724 + 0.980258i \(0.563355\pi\)
\(294\) −1022.38 + 356.557i −0.202811 + 0.0707308i
\(295\) 1814.14 + 1814.14i 0.358046 + 0.358046i
\(296\) 1187.58 + 751.363i 0.233198 + 0.147541i
\(297\) 2432.45 2432.45i 0.475237 0.475237i
\(298\) −1178.51 + 2440.72i −0.229091 + 0.474454i
\(299\) 711.703 1718.20i 0.137655 0.332329i
\(300\) 912.074 1642.23i 0.175529 0.316047i
\(301\) −3465.74 + 1435.56i −0.663660 + 0.274897i
\(302\) −3620.42 + 3228.67i −0.689840 + 0.615195i
\(303\) 1243.30i 0.235728i
\(304\) −2217.19 + 367.272i −0.418305 + 0.0692910i
\(305\) 8852.00i 1.66185i
\(306\) 2541.30 + 2849.65i 0.474759 + 0.532365i
\(307\) 6622.54 2743.14i 1.23117 0.509966i 0.330223 0.943903i \(-0.392876\pi\)
0.900943 + 0.433937i \(0.142876\pi\)
\(308\) 10299.8 2944.22i 1.90547 0.544683i
\(309\) −127.216 + 307.128i −0.0234210 + 0.0565433i
\(310\) −2403.64 1160.60i −0.440380 0.212638i
\(311\) 777.649 777.649i 0.141789 0.141789i −0.632649 0.774438i \(-0.718033\pi\)
0.774438 + 0.632649i \(0.218033\pi\)
\(312\) 666.120 + 945.017i 0.120871 + 0.171478i
\(313\) 3478.96 + 3478.96i 0.628251 + 0.628251i 0.947628 0.319377i \(-0.103474\pi\)
−0.319377 + 0.947628i \(0.603474\pi\)
\(314\) −2182.58 6258.25i −0.392262 1.12476i
\(315\) 10599.6 + 4390.50i 1.89594 + 0.785323i
\(316\) −1114.76 + 9712.85i −0.198449 + 1.72908i
\(317\) 2639.41 + 6372.11i 0.467648 + 1.12900i 0.965187 + 0.261560i \(0.0842369\pi\)
−0.497540 + 0.867441i \(0.665763\pi\)
\(318\) −1635.57 93.5514i −0.288423 0.0164972i
\(319\) 7147.64 1.25452
\(320\) −6717.22 6078.38i −1.17345 1.06185i
\(321\) 157.893 0.0274540
\(322\) 3270.71 + 187.078i 0.566055 + 0.0323772i
\(323\) 713.052 + 1721.46i 0.122834 + 0.296547i
\(324\) 552.011 4809.66i 0.0946521 0.824702i
\(325\) 7110.44 + 2945.24i 1.21359 + 0.502685i
\(326\) −885.835 2540.01i −0.150496 0.431528i
\(327\) −376.792 376.792i −0.0637207 0.0637207i
\(328\) −6287.30 + 4431.77i −1.05841 + 0.746048i
\(329\) −5675.28 + 5675.28i −0.951028 + 0.951028i
\(330\) 2956.26 + 1427.43i 0.493142 + 0.238114i
\(331\) 1414.82 3415.68i 0.234941 0.567198i −0.761805 0.647807i \(-0.775686\pi\)
0.996746 + 0.0806085i \(0.0256864\pi\)
\(332\) 7464.64 2133.79i 1.23396 0.352731i
\(333\) −1459.78 + 604.660i −0.240226 + 0.0995050i
\(334\) −2132.36 2391.10i −0.349335 0.391722i
\(335\) 2565.00i 0.418331i
\(336\) −1185.44 + 1656.13i −0.192473 + 0.268897i
\(337\) 5963.90i 0.964018i −0.876166 0.482009i \(-0.839907\pi\)
0.876166 0.482009i \(-0.160093\pi\)
\(338\) 1102.43 983.139i 0.177409 0.158212i
\(339\) −1054.41 + 436.750i −0.168931 + 0.0699734i
\(340\) −3646.72 + 6566.08i −0.581680 + 1.04734i
\(341\) 1072.32 2588.82i 0.170292 0.411121i
\(342\) 1098.72 2275.49i 0.173720 0.359779i
\(343\) −655.996 + 655.996i −0.103267 + 0.103267i
\(344\) −1780.62 + 2814.38i −0.279082 + 0.441108i
\(345\) 709.909 + 709.909i 0.110783 + 0.110783i
\(346\) −628.690 + 219.257i −0.0976838 + 0.0340675i
\(347\) −11609.9 4808.98i −1.79612 0.743975i −0.987901 0.155086i \(-0.950434\pi\)
−0.808214 0.588889i \(-0.799566\pi\)
\(348\) −1064.22 + 845.083i −0.163931 + 0.130176i
\(349\) −3007.79 7261.44i −0.461327 1.11374i −0.967853 0.251518i \(-0.919070\pi\)
0.506525 0.862225i \(-0.330930\pi\)
\(350\) −774.185 + 13535.2i −0.118234 + 2.06710i
\(351\) −2679.57 −0.407478
\(352\) 5968.02 7404.66i 0.903683 1.12122i
\(353\) −4646.74 −0.700627 −0.350313 0.936633i \(-0.613925\pi\)
−0.350313 + 0.936633i \(0.613925\pi\)
\(354\) 29.2418 511.239i 0.00439035 0.0767572i
\(355\) −1830.23 4418.57i −0.273630 0.660600i
\(356\) 6214.54 + 7825.98i 0.925196 + 1.16510i
\(357\) 1560.04 + 646.190i 0.231278 + 0.0957983i
\(358\) 5663.57 1975.19i 0.836115 0.291597i
\(359\) 1380.53 + 1380.53i 0.202957 + 0.202957i 0.801266 0.598309i \(-0.204160\pi\)
−0.598309 + 0.801266i \(0.704160\pi\)
\(360\) 9937.21 2235.64i 1.45483 0.327302i
\(361\) −3978.10 + 3978.10i −0.579983 + 0.579983i
\(362\) 1504.87 3116.63i 0.218492 0.452504i
\(363\) −682.890 + 1648.64i −0.0987394 + 0.238378i
\(364\) −7294.73 4051.41i −1.05041 0.583383i
\(365\) 4056.06 1680.07i 0.581654 0.240929i
\(366\) 1318.62 1175.94i 0.188321 0.167943i
\(367\) 8418.93i 1.19745i 0.800954 + 0.598725i \(0.204326\pi\)
−0.800954 + 0.598725i \(0.795674\pi\)
\(368\) 2469.06 1537.18i 0.349751 0.217747i
\(369\) 8648.75i 1.22015i
\(370\) −2068.69 2319.69i −0.290665 0.325933i
\(371\) 10923.3 4524.59i 1.52860 0.633167i
\(372\) 146.423 + 512.233i 0.0204078 + 0.0713926i
\(373\) −2147.40 + 5184.27i −0.298091 + 0.719655i 0.701882 + 0.712293i \(0.252343\pi\)
−0.999973 + 0.00736187i \(0.997657\pi\)
\(374\) −7100.48 3428.47i −0.981703 0.474017i
\(375\) −985.145 + 985.145i −0.135660 + 0.135660i
\(376\) −1215.38 + 7021.06i −0.166699 + 0.962988i
\(377\) −3936.89 3936.89i −0.537825 0.537825i
\(378\) −1554.36 4456.90i −0.211501 0.606450i
\(379\) −7606.92 3150.89i −1.03098 0.427046i −0.197914 0.980219i \(-0.563417\pi\)
−0.833066 + 0.553173i \(0.813417\pi\)
\(380\) 4938.18 + 566.761i 0.666640 + 0.0765111i
\(381\) 1031.77 + 2490.91i 0.138738 + 0.334943i
\(382\) −14445.7 826.262i −1.93483 0.110668i
\(383\) 12379.9 1.65166 0.825828 0.563922i \(-0.190708\pi\)
0.825828 + 0.563922i \(0.190708\pi\)
\(384\) −13.1099 + 1808.10i −0.00174221 + 0.240284i
\(385\) −23692.5 −3.13631
\(386\) −11582.8 662.510i −1.52732 0.0873598i
\(387\) −1432.95 3459.45i −0.188220 0.454402i
\(388\) −5428.17 622.998i −0.710242 0.0815153i
\(389\) −2056.29 851.744i −0.268016 0.111016i 0.244629 0.969617i \(-0.421334\pi\)
−0.512644 + 0.858601i \(0.671334\pi\)
\(390\) −842.071 2414.52i −0.109333 0.313497i
\(391\) −1705.09 1705.09i −0.220538 0.220538i
\(392\) 1183.34 6835.92i 0.152468 0.880781i
\(393\) −2067.72 + 2067.72i −0.265401 + 0.265401i
\(394\) 6520.37 + 3148.37i 0.833735 + 0.402570i
\(395\) 8274.74 19977.0i 1.05404 2.54469i
\(396\) 2938.88 + 10281.1i 0.372940 + 1.30466i
\(397\) 10550.8 4370.29i 1.33383 0.552490i 0.402083 0.915603i \(-0.368286\pi\)
0.931745 + 0.363114i \(0.118286\pi\)
\(398\) 9103.46 + 10208.0i 1.14652 + 1.28563i
\(399\) 1117.49i 0.140212i
\(400\) 6361.31 + 10217.7i 0.795163 + 1.27721i
\(401\) 3711.66i 0.462224i 0.972927 + 0.231112i \(0.0742363\pi\)
−0.972927 + 0.231112i \(0.925764\pi\)
\(402\) 382.090 340.745i 0.0474052 0.0422757i
\(403\) −2016.54 + 835.278i −0.249258 + 0.103246i
\(404\) 6964.14 + 3867.80i 0.857621 + 0.476312i
\(405\) −4097.53 + 9892.32i −0.502736 + 1.21371i
\(406\) 4264.49 8831.89i 0.521288 1.07960i
\(407\) 2307.24 2307.24i 0.280996 0.280996i
\(408\) 1462.55 329.039i 0.177468 0.0399262i
\(409\) 6598.84 + 6598.84i 0.797780 + 0.797780i 0.982745 0.184965i \(-0.0592173\pi\)
−0.184965 + 0.982745i \(0.559217\pi\)
\(410\) 16064.1 5602.39i 1.93500 0.674835i
\(411\) 193.001 + 79.9436i 0.0231631 + 0.00959447i
\(412\) −1324.57 1668.03i −0.158390 0.199461i
\(413\) 1414.27 + 3414.36i 0.168503 + 0.406803i
\(414\) −186.739 + 3264.78i −0.0221684 + 0.387573i
\(415\) −17170.8 −2.03104
\(416\) −7365.61 + 791.297i −0.868098 + 0.0932609i
\(417\) −3015.41 −0.354113
\(418\) −297.981 + 5209.64i −0.0348677 + 0.609598i
\(419\) 866.138 + 2091.04i 0.100987 + 0.243804i 0.966296 0.257435i \(-0.0828774\pi\)
−0.865308 + 0.501240i \(0.832877\pi\)
\(420\) 3527.58 2801.22i 0.409829 0.325441i
\(421\) −5360.95 2220.58i −0.620610 0.257065i 0.0501475 0.998742i \(-0.484031\pi\)
−0.670757 + 0.741677i \(0.734031\pi\)
\(422\) −12070.8 + 4209.74i −1.39241 + 0.485609i
\(423\) −5664.98 5664.98i −0.651161 0.651161i
\(424\) 5612.15 8870.38i 0.642807 1.01600i
\(425\) 7056.18 7056.18i 0.805353 0.805353i
\(426\) −415.067 + 859.617i −0.0472068 + 0.0977667i
\(427\) −4879.64 + 11780.5i −0.553026 + 1.33512i
\(428\) −491.192 + 884.413i −0.0554736 + 0.0998826i
\(429\) 2480.16 1027.31i 0.279122 0.115616i
\(430\) 5497.31 4902.47i 0.616521 0.549809i
\(431\) 3632.29i 0.405943i 0.979185 + 0.202971i \(0.0650599\pi\)
−0.979185 + 0.202971i \(0.934940\pi\)
\(432\) −3407.56 2439.08i −0.379505 0.271644i
\(433\) 4662.59i 0.517482i 0.965947 + 0.258741i \(0.0833076\pi\)
−0.965947 + 0.258741i \(0.916692\pi\)
\(434\) −2559.06 2869.56i −0.283039 0.317381i
\(435\) 2776.79 1150.18i 0.306061 0.126775i
\(436\) 3282.72 938.374i 0.360582 0.103073i
\(437\) −610.696 + 1474.35i −0.0668502 + 0.161391i
\(438\) −789.093 381.014i −0.0860829 0.0415652i
\(439\) 8537.50 8537.50i 0.928184 0.928184i −0.0694048 0.997589i \(-0.522110\pi\)
0.997589 + 0.0694048i \(0.0221100\pi\)
\(440\) −17192.2 + 12118.4i −1.86275 + 1.31301i
\(441\) 5515.60 + 5515.60i 0.595573 + 0.595573i
\(442\) 2022.52 + 5799.30i 0.217651 + 0.624083i
\(443\) 4536.01 + 1878.88i 0.486484 + 0.201508i 0.612424 0.790530i \(-0.290195\pi\)
−0.125940 + 0.992038i \(0.540195\pi\)
\(444\) −70.7353 + 616.316i −0.00756070 + 0.0658762i
\(445\) −8458.16 20419.8i −0.901023 2.17526i
\(446\) −2025.40 115.848i −0.215034 0.0122995i
\(447\) −1196.46 −0.126601
\(448\) −5588.78 11792.1i −0.589386 1.24358i
\(449\) 17669.7 1.85720 0.928602 0.371077i \(-0.121011\pi\)
0.928602 + 0.371077i \(0.121011\pi\)
\(450\) −13510.6 772.780i −1.41533 0.0809538i
\(451\) 6834.84 + 16500.8i 0.713615 + 1.72282i
\(452\) 833.790 7264.79i 0.0867658 0.755989i
\(453\) −1978.41 819.482i −0.205196 0.0849948i
\(454\) 5637.25 + 16164.0i 0.582752 + 1.67096i
\(455\) 13049.7 + 13049.7i 1.34457 + 1.34457i
\(456\) −571.582 810.897i −0.0586991 0.0832757i
\(457\) 10783.5 10783.5i 1.10378 1.10378i 0.109833 0.993950i \(-0.464968\pi\)
0.993950 0.109833i \(-0.0350317\pi\)
\(458\) 543.291 + 262.329i 0.0554287 + 0.0267638i
\(459\) −1329.56 + 3209.84i −0.135204 + 0.326411i
\(460\) −6184.92 + 1767.98i −0.626899 + 0.179201i
\(461\) −96.4913 + 39.9680i −0.00974847 + 0.00403795i −0.387552 0.921848i \(-0.626679\pi\)
0.377804 + 0.925886i \(0.376679\pi\)
\(462\) 3147.41 + 3529.30i 0.316949 + 0.355407i
\(463\) 16514.0i 1.65761i 0.559539 + 0.828804i \(0.310978\pi\)
−0.559539 + 0.828804i \(0.689022\pi\)
\(464\) −1422.91 8590.03i −0.142364 0.859444i
\(465\) 1178.28i 0.117509i
\(466\) 13734.3 12248.1i 1.36529 1.21756i
\(467\) −4949.67 + 2050.22i −0.490457 + 0.203154i −0.614185 0.789162i \(-0.710515\pi\)
0.123728 + 0.992316i \(0.460515\pi\)
\(468\) 4044.06 7281.50i 0.399437 0.719204i
\(469\) −1413.95 + 3413.57i −0.139211 + 0.336086i
\(470\) 6852.46 14191.7i 0.672512 1.39279i
\(471\) 2068.88 2068.88i 0.202397 0.202397i
\(472\) 2772.66 + 1754.22i 0.270385 + 0.171069i
\(473\) 5467.80 + 5467.80i 0.531521 + 0.531521i
\(474\) −4075.09 + 1421.20i −0.394884 + 0.137717i
\(475\) −6101.30 2527.24i −0.589362 0.244122i
\(476\) −8472.70 + 6728.09i −0.815852 + 0.647860i
\(477\) 4516.38 + 10903.5i 0.433524 + 1.04662i
\(478\) −220.662 + 3857.87i −0.0211147 + 0.369152i
\(479\) −19166.1 −1.82823 −0.914114 0.405456i \(-0.867113\pi\)
−0.914114 + 0.405456i \(0.867113\pi\)
\(480\) 1126.97 3836.99i 0.107165 0.364863i
\(481\) −2541.63 −0.240932
\(482\) −253.398 + 4430.20i −0.0239460 + 0.418651i
\(483\) 553.432 + 1336.10i 0.0521367 + 0.125869i
\(484\) −7110.20 8953.89i −0.667750 0.840899i
\(485\) 11164.4 + 4624.46i 1.04526 + 0.432961i
\(486\) 6739.35 2350.37i 0.629019 0.219372i
\(487\) −3738.42 3738.42i −0.347852 0.347852i 0.511457 0.859309i \(-0.329106\pi\)
−0.859309 + 0.511457i \(0.829106\pi\)
\(488\) 2484.71 + 11044.3i 0.230487 + 1.02449i
\(489\) 839.687 839.687i 0.0776523 0.0776523i
\(490\) −6671.77 + 13817.4i −0.615101 + 1.27389i
\(491\) −1743.88 + 4210.09i −0.160285 + 0.386963i −0.983535 0.180716i \(-0.942158\pi\)
0.823250 + 0.567679i \(0.192158\pi\)
\(492\) −2968.57 1648.71i −0.272019 0.151076i
\(493\) −6669.41 + 2762.56i −0.609280 + 0.252372i
\(494\) 3033.57 2705.32i 0.276289 0.246393i
\(495\) 23649.5i 2.14740i
\(496\) −3324.71 773.349i −0.300975 0.0700089i
\(497\) 6889.26i 0.621782i
\(498\) 2281.04 + 2557.82i 0.205253 + 0.230158i
\(499\) −6509.03 + 2696.13i −0.583936 + 0.241874i −0.655039 0.755595i \(-0.727348\pi\)
0.0711034 + 0.997469i \(0.477348\pi\)
\(500\) −2453.43 8582.85i −0.219442 0.767673i
\(501\) 541.225 1306.63i 0.0482638 0.116519i
\(502\) −4891.12 2361.68i −0.434863 0.209974i
\(503\) 3534.14 3534.14i 0.313280 0.313280i −0.532899 0.846179i \(-0.678897\pi\)
0.846179 + 0.532899i \(0.178897\pi\)
\(504\) 14457.1 + 2502.61i 1.27772 + 0.221181i
\(505\) −12458.3 12458.3i −1.09780 1.09780i
\(506\) −2223.78 6376.38i −0.195374 0.560207i
\(507\) 602.430 + 249.535i 0.0527710 + 0.0218584i
\(508\) −17162.2 1969.73i −1.49892 0.172033i
\(509\) −4345.28 10490.4i −0.378391 0.913518i −0.992268 0.124115i \(-0.960391\pi\)
0.613876 0.789402i \(-0.289609\pi\)
\(510\) −3310.16 189.335i −0.287405 0.0164390i
\(511\) 6324.05 0.547475
\(512\) −10087.0 5698.28i −0.870676 0.491857i
\(513\) 2299.28 0.197886
\(514\) −2275.03 130.127i −0.195228 0.0111666i
\(515\) 1802.78 + 4352.28i 0.154252 + 0.372397i
\(516\) −1460.57 167.632i −0.124609 0.0143015i
\(517\) 15285.0 + 6331.24i 1.30026 + 0.538583i
\(518\) −1474.34 4227.47i −0.125056 0.358580i
\(519\) −207.835 207.835i −0.0175779 0.0175779i
\(520\) 16144.2 + 2794.65i 1.36148 + 0.235680i
\(521\) −8864.19 + 8864.19i −0.745388 + 0.745388i −0.973609 0.228221i \(-0.926709\pi\)
0.228221 + 0.973609i \(0.426709\pi\)
\(522\) 8815.87 + 4256.75i 0.739196 + 0.356922i
\(523\) 1505.26 3634.02i 0.125852 0.303833i −0.848378 0.529391i \(-0.822421\pi\)
0.974230 + 0.225558i \(0.0724206\pi\)
\(524\) −5149.49 18014.5i −0.429307 1.50184i
\(525\) −5529.20 + 2290.27i −0.459645 + 0.190391i
\(526\) −5749.07 6446.64i −0.476562 0.534386i
\(527\) 2830.06i 0.233926i
\(528\) 4089.08 + 951.148i 0.337035 + 0.0783966i
\(529\) 10101.8i 0.830260i
\(530\) −17326.5 + 15451.6i −1.42003 + 1.26637i
\(531\) −3408.16 + 1411.71i −0.278534 + 0.115373i
\(532\) 6259.44 + 3476.42i 0.510115 + 0.283312i
\(533\) 5323.95 12853.2i 0.432657 1.04453i
\(534\) −1918.18 + 3972.61i −0.155445 + 0.321932i
\(535\) 1582.15 1582.15i 0.127854 0.127854i
\(536\) 719.981 + 3200.25i 0.0580195 + 0.257891i
\(537\) 1872.29 + 1872.29i 0.150457 + 0.150457i
\(538\) −6947.39 + 2422.92i −0.556734 + 0.194163i
\(539\) −14881.9 6164.29i −1.18926 0.492606i
\(540\) 5763.61 + 7258.13i 0.459308 + 0.578408i
\(541\) −4671.40 11277.8i −0.371237 0.896245i −0.993541 0.113470i \(-0.963804\pi\)
0.622305 0.782775i \(-0.286196\pi\)
\(542\) −58.7783 + 1027.63i −0.00465820 + 0.0814400i
\(543\) 1527.80 0.120744
\(544\) −2706.81 + 9215.87i −0.213334 + 0.726336i
\(545\) −7551.19 −0.593500
\(546\) 210.345 3677.50i 0.0164871 0.288246i
\(547\) 6749.10 + 16293.8i 0.527552 + 1.27362i 0.933122 + 0.359559i \(0.117073\pi\)
−0.405571 + 0.914064i \(0.632927\pi\)
\(548\) −1048.20 + 832.367i −0.0817098 + 0.0648849i
\(549\) −11759.1 4870.79i −0.914148 0.378652i
\(550\) 26387.4 9202.67i 2.04575 0.713461i
\(551\) 3378.15 + 3378.15i 0.261187 + 0.261187i
\(552\) 1084.99 + 686.459i 0.0836602 + 0.0529305i
\(553\) 22024.5 22024.5i 1.69363 1.69363i
\(554\) −761.254 + 1576.58i −0.0583801 + 0.120907i
\(555\) 525.063 1267.61i 0.0401580 0.0969499i
\(556\) 9380.69 16890.3i 0.715521 1.28833i
\(557\) −2590.39 + 1072.98i −0.197053 + 0.0816220i −0.479028 0.877800i \(-0.659011\pi\)
0.281975 + 0.959422i \(0.409011\pi\)
\(558\) 2864.36 2554.42i 0.217308 0.193794i
\(559\) 6023.28i 0.455738i
\(560\) 4716.56 + 28473.6i 0.355913 + 2.14862i
\(561\) 3480.71i 0.261953i
\(562\) 15722.3 + 17630.0i 1.18008 + 1.32327i
\(563\) −7377.58 + 3055.89i −0.552270 + 0.228758i −0.641325 0.767269i \(-0.721615\pi\)
0.0890556 + 0.996027i \(0.471615\pi\)
\(564\) −3024.34 + 864.517i −0.225794 + 0.0645438i
\(565\) −6189.15 + 14941.9i −0.460849 + 1.11259i
\(566\) 5864.04 + 2831.46i 0.435484 + 0.210274i
\(567\) −10906.2 + 10906.2i −0.807792 + 0.807792i
\(568\) −3523.77 4999.14i −0.260307 0.369294i
\(569\) 16799.5 + 16799.5i 1.23773 + 1.23773i 0.960925 + 0.276810i \(0.0892773\pi\)
0.276810 + 0.960925i \(0.410723\pi\)
\(570\) 722.561 + 2071.84i 0.0530961 + 0.152245i
\(571\) 8801.25 + 3645.60i 0.645045 + 0.267186i 0.681130 0.732162i \(-0.261489\pi\)
−0.0360851 + 0.999349i \(0.511489\pi\)
\(572\) −1961.23 + 17088.1i −0.143362 + 1.24911i
\(573\) −2444.33 5901.13i −0.178208 0.430232i
\(574\) 24466.8 + 1399.45i 1.77914 + 0.101763i
\(575\) 8546.51 0.619851
\(576\) 11770.7 5578.64i 0.851472 0.403548i
\(577\) 11551.9 0.833472 0.416736 0.909028i \(-0.363174\pi\)
0.416736 + 0.909028i \(0.363174\pi\)
\(578\) −5922.88 338.777i −0.426227 0.0243793i
\(579\) −1959.90 4731.62i −0.140675 0.339619i
\(580\) −2195.79 + 19131.9i −0.157199 + 1.36967i
\(581\) −22851.4 9465.36i −1.63173 0.675886i
\(582\) −794.258 2277.42i −0.0565688 0.162203i
\(583\) −17233.4 17233.4i −1.22425 1.22425i
\(584\) 4589.00 3234.68i 0.325161 0.229198i
\(585\) −13026.0 + 13026.0i −0.920615 + 0.920615i
\(586\) −4916.98 2374.17i −0.346619 0.167365i
\(587\) 2507.65 6054.00i 0.176323 0.425682i −0.810867 0.585231i \(-0.801004\pi\)
0.987190 + 0.159549i \(0.0510040\pi\)
\(588\) 2944.59 841.720i 0.206519 0.0590340i
\(589\) 1730.35 716.733i 0.121049 0.0501400i
\(590\) −4829.79 5415.81i −0.337016 0.377908i
\(591\) 3196.34i 0.222470i
\(592\) −3232.15 2313.52i −0.224393 0.160617i
\(593\) 7192.49i 0.498078i −0.968493 0.249039i \(-0.919885\pi\)
0.968493 0.249039i \(-0.0801147\pi\)
\(594\) −7261.67 + 6475.91i −0.501599 + 0.447323i
\(595\) 22107.2 9157.12i 1.52321 0.630933i
\(596\) 3722.10 6701.79i 0.255810 0.460598i
\(597\) −2310.59 + 5578.26i −0.158402 + 0.382417i
\(598\) −2287.23 + 4736.93i −0.156408 + 0.323926i
\(599\) 8885.88 8885.88i 0.606122 0.606122i −0.335808 0.941930i \(-0.609009\pi\)
0.941930 + 0.335808i \(0.109009\pi\)
\(600\) −2840.77 + 4490.03i −0.193290 + 0.305508i
\(601\) 1468.96 + 1468.96i 0.0997009 + 0.0997009i 0.755198 0.655497i \(-0.227541\pi\)
−0.655497 + 0.755198i \(0.727541\pi\)
\(602\) 10018.5 3493.97i 0.678275 0.236550i
\(603\) −3407.38 1411.38i −0.230115 0.0953167i
\(604\) 10744.9 8532.39i 0.723845 0.574798i
\(605\) 9677.19 + 23362.8i 0.650303 + 1.56997i
\(606\) −200.812 + 3510.84i −0.0134611 + 0.235343i
\(607\) −1305.90 −0.0873225 −0.0436613 0.999046i \(-0.513902\pi\)
−0.0436613 + 0.999046i \(0.513902\pi\)
\(608\) 6320.26 678.994i 0.421580 0.0452908i
\(609\) 4329.46 0.288076
\(610\) 1429.74 24996.4i 0.0948992 1.65914i
\(611\) −4931.67 11906.1i −0.326537 0.788330i
\(612\) −6715.88 8457.33i −0.443584 0.558607i
\(613\) −15396.4 6377.39i −1.01444 0.420196i −0.187370 0.982289i \(-0.559996\pi\)
−0.827074 + 0.562093i \(0.809996\pi\)
\(614\) −19143.9 + 6676.48i −1.25828 + 0.438828i
\(615\) 5310.53 + 5310.53i 0.348197 + 0.348197i
\(616\) −29560.2 + 6650.34i −1.93346 + 0.434984i
\(617\) −14943.6 + 14943.6i −0.975049 + 0.975049i −0.999696 0.0246473i \(-0.992154\pi\)
0.0246473 + 0.999696i \(0.492154\pi\)
\(618\) 408.841 846.723i 0.0266117 0.0551136i
\(619\) −9902.61 + 23907.0i −0.643004 + 1.55235i 0.179604 + 0.983739i \(0.442518\pi\)
−0.822608 + 0.568609i \(0.807482\pi\)
\(620\) 6599.98 + 3665.55i 0.427519 + 0.237439i
\(621\) −2749.08 + 1138.71i −0.177644 + 0.0735826i
\(622\) −2321.54 + 2070.33i −0.149655 + 0.133461i
\(623\) 31837.8i 2.04744i
\(624\) −1728.36 2776.14i −0.110881 0.178100i
\(625\) 3764.96i 0.240957i
\(626\) −9262.02 10385.8i −0.591350 0.663102i
\(627\) −2128.17 + 881.515i −0.135551 + 0.0561472i
\(628\) 5152.40 + 18024.6i 0.327393 + 1.14532i
\(629\) −1261.12 + 3044.61i −0.0799429 + 0.192999i
\(630\) −29222.2 14110.0i −1.84800 0.892308i
\(631\) 11209.4 11209.4i 0.707191 0.707191i −0.258753 0.965944i \(-0.583312\pi\)
0.965944 + 0.258753i \(0.0833115\pi\)
\(632\) 4716.65 27247.2i 0.296864 1.71493i
\(633\) −3990.43 3990.43i −0.250561 0.250561i
\(634\) −6424.01 18419.9i −0.402413 1.15386i
\(635\) 35298.5 + 14621.1i 2.20595 + 0.913736i
\(636\) 4603.44 + 528.343i 0.287010 + 0.0329405i
\(637\) 4801.63 + 11592.2i 0.298662 + 0.721033i
\(638\) −20183.6 1154.46i −1.25247 0.0716387i
\(639\) 6876.77 0.425729
\(640\) 17986.4 + 18249.1i 1.11090 + 1.12713i
\(641\) −8922.84 −0.549814 −0.274907 0.961471i \(-0.588647\pi\)
−0.274907 + 0.961471i \(0.588647\pi\)
\(642\) −445.860 25.5023i −0.0274092 0.00156775i
\(643\) −7149.00 17259.2i −0.438459 1.05853i −0.976481 0.215603i \(-0.930828\pi\)
0.538022 0.842930i \(-0.319172\pi\)
\(644\) −9205.66 1056.55i −0.563282 0.0646487i
\(645\) 3004.05 + 1244.32i 0.183386 + 0.0759611i
\(646\) −1735.48 4976.24i −0.105699 0.303077i
\(647\) −15074.6 15074.6i −0.915985 0.915985i 0.0807492 0.996734i \(-0.474269\pi\)
−0.996734 + 0.0807492i \(0.974269\pi\)
\(648\) −2335.61 + 13492.4i −0.141592 + 0.817951i
\(649\) 5386.73 5386.73i 0.325805 0.325805i
\(650\) −19602.8 9465.26i −1.18290 0.571166i
\(651\) 649.526 1568.09i 0.0391043 0.0944062i
\(652\) 2091.18 + 7315.58i 0.125609 + 0.439417i
\(653\) 717.534 297.212i 0.0430004 0.0178114i −0.361080 0.932535i \(-0.617592\pi\)
0.404080 + 0.914724i \(0.367592\pi\)
\(654\) 1003.13 + 1124.85i 0.0599780 + 0.0672555i
\(655\) 41438.5i 2.47197i
\(656\) 18470.0 11499.0i 1.09928 0.684390i
\(657\) 6312.58i 0.374851i
\(658\) 16942.6 15109.3i 1.00378 0.895168i
\(659\) 6945.56 2876.95i 0.410562 0.170061i −0.167836 0.985815i \(-0.553678\pi\)
0.578398 + 0.815754i \(0.303678\pi\)
\(660\) −8117.37 4508.29i −0.478739 0.265886i
\(661\) −797.182 + 1924.57i −0.0469089 + 0.113248i −0.945597 0.325340i \(-0.894521\pi\)
0.898688 + 0.438588i \(0.144521\pi\)
\(662\) −4546.87 + 9416.72i −0.266948 + 0.552857i
\(663\) −1917.16 + 1917.16i −0.112302 + 0.112302i
\(664\) −21423.4 + 4819.75i −1.25209 + 0.281691i
\(665\) −11197.6 11197.6i −0.652971 0.652971i
\(666\) 4219.80 1471.67i 0.245517 0.0856246i
\(667\) −5712.04 2366.01i −0.331591 0.137349i
\(668\) 5635.20 + 7096.42i 0.326396 + 0.411031i
\(669\) −342.714 827.385i −0.0198058 0.0478155i
\(670\) 414.289 7243.07i 0.0238886 0.417648i
\(671\) 26284.2 1.51221
\(672\) 3614.94 4485.14i 0.207514 0.257467i
\(673\) 6013.47 0.344431 0.172216 0.985059i \(-0.444907\pi\)
0.172216 + 0.985059i \(0.444907\pi\)
\(674\) −963.265 + 16840.9i −0.0550498 + 0.962445i
\(675\) −4712.31 11376.5i −0.268707 0.648716i
\(676\) −3271.84 + 2598.14i −0.186154 + 0.147823i
\(677\) 19577.8 + 8109.41i 1.11143 + 0.460369i 0.861430 0.507877i \(-0.169569\pi\)
0.250000 + 0.968246i \(0.419569\pi\)
\(678\) 3047.99 1062.99i 0.172651 0.0602125i
\(679\) 12308.7 + 12308.7i 0.695679 + 0.695679i
\(680\) 11358.2 17952.4i 0.640539 1.01242i
\(681\) −5343.58 + 5343.58i −0.300685 + 0.300685i
\(682\) −3446.17 + 7137.13i −0.193491 + 0.400726i
\(683\) −5715.60 + 13798.7i −0.320207 + 0.773048i 0.679035 + 0.734106i \(0.262399\pi\)
−0.999241 + 0.0389416i \(0.987601\pi\)
\(684\) −3470.11 + 6248.09i −0.193981 + 0.349271i
\(685\) 2735.00 1132.88i 0.152553 0.0631897i
\(686\) 1958.36 1746.45i 0.108995 0.0972011i
\(687\) 266.325i 0.0147903i
\(688\) 5482.69 7659.69i 0.303816 0.424452i
\(689\) 18984.2i 1.04970i
\(690\) −1889.99 2119.31i −0.104276 0.116929i
\(691\) −8261.06 + 3421.84i −0.454798 + 0.188384i −0.598310 0.801265i \(-0.704161\pi\)
0.143511 + 0.989649i \(0.454161\pi\)
\(692\) 1810.72 517.598i 0.0994698 0.0284337i
\(693\) 13036.7 31473.4i 0.714608 1.72522i
\(694\) 32007.4 + 15454.8i 1.75070 + 0.845328i
\(695\) −30215.5 + 30215.5i −1.64912 + 1.64912i
\(696\) 3141.64 2214.47i 0.171097 0.120602i
\(697\) −12755.1 12755.1i −0.693161 0.693161i
\(698\) 7320.59 + 20990.8i 0.396975 + 1.13827i
\(699\) 7505.19 + 3108.75i 0.406112 + 0.168217i
\(700\) 4372.30 38095.8i 0.236082 2.05698i
\(701\) 8530.14 + 20593.6i 0.459599 + 1.10957i 0.968560 + 0.248780i \(0.0800298\pi\)
−0.508961 + 0.860790i \(0.669970\pi\)
\(702\) 7566.60 + 432.794i 0.406813 + 0.0232689i
\(703\) 2180.92 0.117005
\(704\) −18048.5 + 19945.4i −0.966235 + 1.06779i
\(705\) 6956.86 0.371646
\(706\) 13121.5 + 750.524i 0.699483 + 0.0400090i
\(707\) −9712.25 23447.4i −0.516643 1.24729i
\(708\) −165.147 + 1438.92i −0.00876637 + 0.0763812i
\(709\) 11948.6 + 4949.27i 0.632919 + 0.262163i 0.675993 0.736908i \(-0.263715\pi\)
−0.0430740 + 0.999072i \(0.513715\pi\)
\(710\) 4454.55 + 12772.8i 0.235460 + 0.675148i
\(711\) 21984.6 + 21984.6i 1.15962 + 1.15962i
\(712\) −16284.7 23102.9i −0.857154 1.21603i
\(713\) −1713.89 + 1713.89i −0.0900222 + 0.0900222i
\(714\) −4300.89 2076.69i −0.225430 0.108849i
\(715\) 14558.0 35146.2i 0.761453 1.83831i
\(716\) −16311.9 + 4662.80i −0.851402 + 0.243376i
\(717\) −1575.96 + 652.783i −0.0820854 + 0.0340009i
\(718\) −3675.37 4121.33i −0.191036 0.214215i
\(719\) 3624.32i 0.187989i −0.995573 0.0939947i \(-0.970036\pi\)
0.995573 0.0939947i \(-0.0299637\pi\)
\(720\) −28421.9 + 4708.01i −1.47114 + 0.243690i
\(721\) 6785.92i 0.350514i
\(722\) 11875.9 10590.9i 0.612156 0.545917i
\(723\) −1809.76 + 749.626i −0.0930921 + 0.0385600i
\(724\) −4752.85 + 8557.71i −0.243976 + 0.439288i
\(725\) 9791.24 23638.1i 0.501569 1.21089i
\(726\) 2194.63 4545.16i 0.112191 0.232351i
\(727\) −24377.4 + 24377.4i −1.24361 + 1.24361i −0.285123 + 0.958491i \(0.592034\pi\)
−0.958491 + 0.285123i \(0.907966\pi\)
\(728\) 19944.6 + 12618.6i 1.01538 + 0.642414i
\(729\) −9325.61 9325.61i −0.473790 0.473790i
\(730\) −11724.9 + 4089.09i −0.594463 + 0.207321i
\(731\) −7215.26 2988.66i −0.365070 0.151217i
\(732\) −3913.47 + 3107.65i −0.197604 + 0.156915i
\(733\) −2874.93 6940.70i −0.144868 0.349742i 0.834745 0.550637i \(-0.185615\pi\)
−0.979613 + 0.200895i \(0.935615\pi\)
\(734\) 1359.79 23773.5i 0.0683799 1.19550i
\(735\) −6773.41 −0.339920
\(736\) −7220.43 + 3941.91i −0.361615 + 0.197420i
\(737\) 7616.24 0.380662
\(738\) −1396.91 + 24422.5i −0.0696763 + 1.21816i
\(739\) 9423.24 + 22749.7i 0.469066 + 1.13242i 0.964572 + 0.263820i \(0.0849825\pi\)
−0.495506 + 0.868604i \(0.665017\pi\)
\(740\) 5466.91 + 6884.50i 0.271578 + 0.341999i
\(741\) 1657.72 + 686.650i 0.0821833 + 0.0340414i
\(742\) −31576.2 + 11012.3i −1.56226 + 0.544844i
\(743\) −4515.42 4515.42i −0.222954 0.222954i 0.586787 0.809741i \(-0.300393\pi\)
−0.809741 + 0.586787i \(0.800393\pi\)
\(744\) −330.738 1470.10i −0.0162976 0.0724415i
\(745\) −11989.0 + 11989.0i −0.589587 + 0.589587i
\(746\) 6901.18 14292.6i 0.338700 0.701458i
\(747\) 9448.20 22810.0i 0.462773 1.11723i
\(748\) 19496.7 + 10828.2i 0.953033 + 0.529303i
\(749\) 2977.72 1233.41i 0.145265 0.0601707i
\(750\) 2940.98 2622.75i 0.143186 0.127692i
\(751\) 25582.2i 1.24302i −0.783406 0.621510i \(-0.786519\pi\)
0.783406 0.621510i \(-0.213481\pi\)
\(752\) 4566.03 19629.8i 0.221418 0.951897i
\(753\) 2397.67i 0.116037i
\(754\) 10481.2 + 11752.9i 0.506235 + 0.567660i
\(755\) −28035.9 + 11612.8i −1.35143 + 0.559780i
\(756\) 3669.35 + 12836.5i 0.176525 + 0.617538i
\(757\) 7681.53 18544.9i 0.368811 0.890389i −0.625135 0.780517i \(-0.714956\pi\)
0.993946 0.109872i \(-0.0350440\pi\)
\(758\) 20971.6 + 10126.2i 1.00491 + 0.485223i
\(759\) 2107.93 2107.93i 0.100808 0.100808i
\(760\) −13852.9 2398.02i −0.661183 0.114454i
\(761\) −9053.82 9053.82i −0.431276 0.431276i 0.457786 0.889062i \(-0.348642\pi\)
−0.889062 + 0.457786i \(0.848642\pi\)
\(762\) −2511.20 7200.51i −0.119385 0.342319i
\(763\) −10049.3 4162.58i −0.476816 0.197504i
\(764\) 40658.4 + 4666.42i 1.92535 + 0.220975i
\(765\) 9140.51 + 22067.1i 0.431995 + 1.04293i
\(766\) −34958.6 1999.56i −1.64896 0.0943171i
\(767\) −5933.98 −0.279353
\(768\) 329.056 5103.61i 0.0154607 0.239792i
\(769\) −22171.5 −1.03969 −0.519847 0.854259i \(-0.674011\pi\)
−0.519847 + 0.854259i \(0.674011\pi\)
\(770\) 66903.0 + 3826.71i 3.13119 + 0.179098i
\(771\) −384.954 929.362i −0.0179816 0.0434113i
\(772\) 32600.5 + 3741.61i 1.51984