Properties

Label 32.4.g.a.5.4
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 5.4
Character \(\chi\) \(=\) 32.5
Dual form 32.4.g.a.13.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.75970 + 2.21438i) q^{2} +(3.54796 + 8.56554i) q^{3} +(-1.80692 - 7.79327i) q^{4} +(-7.55322 - 3.12865i) q^{5} +(-25.2107 - 7.21625i) q^{6} +(7.16166 + 7.16166i) q^{7} +(20.4369 + 9.71261i) q^{8} +(-41.6886 + 41.6886i) q^{9} +O(q^{10})\) \(q+(-1.75970 + 2.21438i) q^{2} +(3.54796 + 8.56554i) q^{3} +(-1.80692 - 7.79327i) q^{4} +(-7.55322 - 3.12865i) q^{5} +(-25.2107 - 7.21625i) q^{6} +(7.16166 + 7.16166i) q^{7} +(20.4369 + 9.71261i) q^{8} +(-41.6886 + 41.6886i) q^{9} +(20.2194 - 11.2202i) q^{10} +(0.758120 - 1.83026i) q^{11} +(60.3427 - 43.1275i) q^{12} +(71.0832 - 29.4436i) q^{13} +(-28.4610 + 3.25624i) q^{14} -75.7978i q^{15} +(-57.4701 + 28.1636i) q^{16} +98.5470i q^{17} +(-18.9548 - 165.674i) q^{18} +(89.5748 - 37.1031i) q^{19} +(-10.7343 + 64.5175i) q^{20} +(-35.9342 + 86.7528i) q^{21} +(2.71883 + 4.89948i) q^{22} +(24.9355 - 24.9355i) q^{23} +(-10.6845 + 209.513i) q^{24} +(-41.1256 - 41.1256i) q^{25} +(-59.8858 + 209.217i) q^{26} +(-273.726 - 113.381i) q^{27} +(42.8722 - 68.7533i) q^{28} +(-57.8528 - 139.669i) q^{29} +(167.845 + 133.381i) q^{30} +58.0545 q^{31} +(38.7652 - 176.820i) q^{32} +18.3670 q^{33} +(-218.220 - 173.413i) q^{34} +(-31.6873 - 76.4999i) q^{35} +(400.218 + 249.563i) q^{36} +(-202.968 - 84.0720i) q^{37} +(-75.4645 + 263.643i) q^{38} +(504.401 + 504.401i) q^{39} +(-123.977 - 137.301i) q^{40} +(-45.3618 + 45.3618i) q^{41} +(-128.870 - 232.231i) q^{42} +(89.7175 - 216.597i) q^{43} +(-15.6336 - 2.60110i) q^{44} +(445.312 - 184.454i) q^{45} +(11.3376 + 99.0957i) q^{46} +4.38416i q^{47} +(-445.139 - 392.339i) q^{48} -240.421i q^{49} +(163.436 - 18.6989i) q^{50} +(-844.109 + 349.641i) q^{51} +(-357.904 - 500.768i) q^{52} +(8.98141 - 21.6830i) q^{53} +(732.742 - 406.615i) q^{54} +(-11.4525 + 11.4525i) q^{55} +(76.8035 + 215.920i) q^{56} +(635.616 + 635.616i) q^{57} +(411.083 + 117.668i) q^{58} +(287.366 + 119.031i) q^{59} +(-590.712 + 136.960i) q^{60} +(-28.2072 - 68.0983i) q^{61} +(-102.158 + 128.554i) q^{62} -597.119 q^{63} +(323.331 + 396.990i) q^{64} -629.026 q^{65} +(-32.3204 + 40.6714i) q^{66} +(293.521 + 708.622i) q^{67} +(768.003 - 178.067i) q^{68} +(302.057 + 125.116i) q^{69} +(225.160 + 64.4492i) q^{70} +(-579.730 - 579.730i) q^{71} +(-1256.89 + 447.079i) q^{72} +(-258.894 + 258.894i) q^{73} +(543.329 - 301.505i) q^{74} +(206.351 - 498.176i) q^{75} +(-451.009 - 631.038i) q^{76} +(18.5371 - 7.67833i) q^{77} +(-2004.53 + 229.339i) q^{78} +834.510i q^{79} +(522.198 - 32.9225i) q^{80} -1155.05i q^{81} +(-20.6250 - 180.271i) q^{82} +(234.905 - 97.3009i) q^{83} +(741.018 + 123.289i) q^{84} +(308.319 - 744.347i) q^{85} +(321.752 + 579.814i) q^{86} +(991.082 - 991.082i) q^{87} +(33.2702 - 30.0415i) q^{88} +(179.539 + 179.539i) q^{89} +(-375.164 + 1310.67i) q^{90} +(719.939 + 298.208i) q^{91} +(-239.386 - 149.273i) q^{92} +(205.975 + 497.268i) q^{93} +(-9.70819 - 7.71481i) q^{94} -792.661 q^{95} +(1652.10 - 295.306i) q^{96} -624.033 q^{97} +(532.383 + 423.069i) q^{98} +(44.6962 + 107.906i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.75970 + 2.21438i −0.622148 + 0.782900i
\(3\) 3.54796 + 8.56554i 0.682806 + 1.64844i 0.758794 + 0.651331i \(0.225789\pi\)
−0.0759878 + 0.997109i \(0.524211\pi\)
\(4\) −1.80692 7.79327i −0.225865 0.974159i
\(5\) −7.55322 3.12865i −0.675581 0.279835i 0.0183975 0.999831i \(-0.494144\pi\)
−0.693978 + 0.719996i \(0.744144\pi\)
\(6\) −25.2107 7.21625i −1.71537 0.491004i
\(7\) 7.16166 + 7.16166i 0.386693 + 0.386693i 0.873506 0.486813i \(-0.161841\pi\)
−0.486813 + 0.873506i \(0.661841\pi\)
\(8\) 20.4369 + 9.71261i 0.903190 + 0.429241i
\(9\) −41.6886 + 41.6886i −1.54402 + 1.54402i
\(10\) 20.2194 11.2202i 0.639393 0.354814i
\(11\) 0.758120 1.83026i 0.0207802 0.0501678i −0.913149 0.407626i \(-0.866357\pi\)
0.933929 + 0.357458i \(0.116357\pi\)
\(12\) 60.3427 43.1275i 1.45162 1.03749i
\(13\) 71.0832 29.4436i 1.51653 0.628168i 0.539639 0.841896i \(-0.318561\pi\)
0.976893 + 0.213728i \(0.0685606\pi\)
\(14\) −28.4610 + 3.25624i −0.543323 + 0.0621619i
\(15\) 75.7978i 1.30473i
\(16\) −57.4701 + 28.1636i −0.897970 + 0.440057i
\(17\) 98.5470i 1.40595i 0.711214 + 0.702975i \(0.248146\pi\)
−0.711214 + 0.702975i \(0.751854\pi\)
\(18\) −18.9548 165.674i −0.248206 2.16942i
\(19\) 89.5748 37.1031i 1.08157 0.448002i 0.230512 0.973070i \(-0.425960\pi\)
0.851060 + 0.525068i \(0.175960\pi\)
\(20\) −10.7343 + 64.5175i −0.120013 + 0.721328i
\(21\) −35.9342 + 86.7528i −0.373404 + 0.901477i
\(22\) 2.71883 + 4.89948i 0.0263480 + 0.0474806i
\(23\) 24.9355 24.9355i 0.226062 0.226062i −0.584984 0.811045i \(-0.698899\pi\)
0.811045 + 0.584984i \(0.198899\pi\)
\(24\) −10.6845 + 209.513i −0.0908736 + 1.78194i
\(25\) −41.1256 41.1256i −0.329005 0.329005i
\(26\) −59.8858 + 209.217i −0.451714 + 1.57811i
\(27\) −273.726 113.381i −1.95106 0.808154i
\(28\) 42.8722 68.7533i 0.289360 0.464041i
\(29\) −57.8528 139.669i −0.370448 0.894341i −0.993674 0.112299i \(-0.964178\pi\)
0.623226 0.782042i \(-0.285822\pi\)
\(30\) 167.845 + 133.381i 1.02147 + 0.811733i
\(31\) 58.0545 0.336351 0.168176 0.985757i \(-0.446212\pi\)
0.168176 + 0.985757i \(0.446212\pi\)
\(32\) 38.7652 176.820i 0.214150 0.976801i
\(33\) 18.3670 0.0968874
\(34\) −218.220 173.413i −1.10072 0.874709i
\(35\) −31.6873 76.4999i −0.153032 0.369453i
\(36\) 400.218 + 249.563i 1.85286 + 1.15538i
\(37\) −202.968 84.0720i −0.901829 0.373550i −0.116906 0.993143i \(-0.537298\pi\)
−0.784923 + 0.619593i \(0.787298\pi\)
\(38\) −75.4645 + 263.643i −0.322157 + 1.12549i
\(39\) 504.401 + 504.401i 2.07100 + 2.07100i
\(40\) −123.977 137.301i −0.490061 0.542731i
\(41\) −45.3618 + 45.3618i −0.172788 + 0.172788i −0.788203 0.615415i \(-0.788988\pi\)
0.615415 + 0.788203i \(0.288988\pi\)
\(42\) −128.870 232.231i −0.473454 0.853190i
\(43\) 89.7175 216.597i 0.318181 0.768157i −0.681170 0.732126i \(-0.738528\pi\)
0.999351 0.0360314i \(-0.0114716\pi\)
\(44\) −15.6336 2.60110i −0.0535649 0.00891204i
\(45\) 445.312 184.454i 1.47518 0.611041i
\(46\) 11.3376 + 99.0957i 0.0363400 + 0.317627i
\(47\) 4.38416i 0.0136063i 0.999977 + 0.00680315i \(0.00216553\pi\)
−0.999977 + 0.00680315i \(0.997834\pi\)
\(48\) −445.139 392.339i −1.33855 1.17978i
\(49\) 240.421i 0.700937i
\(50\) 163.436 18.6989i 0.462268 0.0528884i
\(51\) −844.109 + 349.641i −2.31762 + 0.959992i
\(52\) −357.904 500.768i −0.954467 1.33546i
\(53\) 8.98141 21.6830i 0.0232772 0.0561961i −0.911814 0.410604i \(-0.865318\pi\)
0.935091 + 0.354408i \(0.115318\pi\)
\(54\) 732.742 406.615i 1.84655 1.02469i
\(55\) −11.4525 + 11.4525i −0.0280774 + 0.0280774i
\(56\) 76.8035 + 215.920i 0.183273 + 0.515242i
\(57\) 635.616 + 635.616i 1.47701 + 1.47701i
\(58\) 411.083 + 117.668i 0.930653 + 0.266388i
\(59\) 287.366 + 119.031i 0.634099 + 0.262652i 0.676494 0.736448i \(-0.263499\pi\)
−0.0423945 + 0.999101i \(0.513499\pi\)
\(60\) −590.712 + 136.960i −1.27101 + 0.294692i
\(61\) −28.2072 68.0983i −0.0592060 0.142936i 0.891508 0.453005i \(-0.149648\pi\)
−0.950714 + 0.310069i \(0.899648\pi\)
\(62\) −102.158 + 128.554i −0.209260 + 0.263330i
\(63\) −597.119 −1.19413
\(64\) 323.331 + 396.990i 0.631505 + 0.775372i
\(65\) −629.026 −1.20032
\(66\) −32.3204 + 40.6714i −0.0602782 + 0.0758531i
\(67\) 293.521 + 708.622i 0.535213 + 1.29212i 0.928031 + 0.372502i \(0.121500\pi\)
−0.392818 + 0.919616i \(0.628500\pi\)
\(68\) 768.003 178.067i 1.36962 0.317555i
\(69\) 302.057 + 125.116i 0.527005 + 0.218293i
\(70\) 225.160 + 64.4492i 0.384453 + 0.110045i
\(71\) −579.730 579.730i −0.969032 0.969032i 0.0305030 0.999535i \(-0.490289\pi\)
−0.999535 + 0.0305030i \(0.990289\pi\)
\(72\) −1256.89 + 447.079i −2.05730 + 0.731789i
\(73\) −258.894 + 258.894i −0.415085 + 0.415085i −0.883506 0.468420i \(-0.844823\pi\)
0.468420 + 0.883506i \(0.344823\pi\)
\(74\) 543.329 301.505i 0.853523 0.473639i
\(75\) 206.351 498.176i 0.317698 0.766991i
\(76\) −451.009 631.038i −0.680714 0.952435i
\(77\) 18.5371 7.67833i 0.0274351 0.0113640i
\(78\) −2004.53 + 229.339i −2.90985 + 0.332918i
\(79\) 834.510i 1.18848i 0.804289 + 0.594239i \(0.202547\pi\)
−0.804289 + 0.594239i \(0.797453\pi\)
\(80\) 522.198 32.9225i 0.729794 0.0460106i
\(81\) 1155.05i 1.58443i
\(82\) −20.6250 180.271i −0.0277762 0.242776i
\(83\) 234.905 97.3009i 0.310653 0.128677i −0.221910 0.975067i \(-0.571229\pi\)
0.532563 + 0.846391i \(0.321229\pi\)
\(84\) 741.018 + 123.289i 0.962521 + 0.160143i
\(85\) 308.319 744.347i 0.393434 0.949833i
\(86\) 321.752 + 579.814i 0.403435 + 0.727011i
\(87\) 991.082 991.082i 1.22132 1.22132i
\(88\) 33.2702 30.0415i 0.0403025 0.0363913i
\(89\) 179.539 + 179.539i 0.213833 + 0.213833i 0.805893 0.592061i \(-0.201685\pi\)
−0.592061 + 0.805893i \(0.701685\pi\)
\(90\) −375.164 + 1310.67i −0.439397 + 1.53508i
\(91\) 719.939 + 298.208i 0.829342 + 0.343525i
\(92\) −239.386 149.273i −0.271279 0.169161i
\(93\) 205.975 + 497.268i 0.229663 + 0.554455i
\(94\) −9.70819 7.71481i −0.0106524 0.00846513i
\(95\) −792.661 −0.856056
\(96\) 1652.10 295.306i 1.75642 0.313953i
\(97\) −624.033 −0.653205 −0.326603 0.945162i \(-0.605904\pi\)
−0.326603 + 0.945162i \(0.605904\pi\)
\(98\) 532.383 + 423.069i 0.548763 + 0.436086i
\(99\) 44.6962 + 107.906i 0.0453751 + 0.109545i
\(100\) −246.192 + 394.814i −0.246192 + 0.394814i
\(101\) −1513.83 627.049i −1.49140 0.617760i −0.519782 0.854299i \(-0.673987\pi\)
−0.971622 + 0.236540i \(0.923987\pi\)
\(102\) 711.140 2484.44i 0.690327 2.41173i
\(103\) 146.406 + 146.406i 0.140056 + 0.140056i 0.773659 0.633603i \(-0.218425\pi\)
−0.633603 + 0.773659i \(0.718425\pi\)
\(104\) 1738.69 + 88.6679i 1.63935 + 0.0836020i
\(105\) 542.838 542.838i 0.504529 0.504529i
\(106\) 32.2098 + 58.0439i 0.0295141 + 0.0531860i
\(107\) 375.001 905.331i 0.338810 0.817960i −0.659021 0.752125i \(-0.729029\pi\)
0.997831 0.0658347i \(-0.0209710\pi\)
\(108\) −389.007 + 2338.09i −0.346595 + 2.08317i
\(109\) −330.443 + 136.874i −0.290373 + 0.120277i −0.523115 0.852262i \(-0.675230\pi\)
0.232742 + 0.972539i \(0.425230\pi\)
\(110\) −5.20719 45.5131i −0.00451351 0.0394500i
\(111\) 2036.81i 1.74167i
\(112\) −613.280 209.883i −0.517406 0.177072i
\(113\) 743.066i 0.618600i −0.950965 0.309300i \(-0.899905\pi\)
0.950965 0.309300i \(-0.100095\pi\)
\(114\) −2525.99 + 289.000i −2.07527 + 0.237433i
\(115\) −266.358 + 110.329i −0.215983 + 0.0894630i
\(116\) −983.943 + 703.233i −0.787559 + 0.562876i
\(117\) −1735.89 + 4190.82i −1.37165 + 3.31147i
\(118\) −769.256 + 426.878i −0.600134 + 0.333028i
\(119\) −705.760 + 705.760i −0.543672 + 0.543672i
\(120\) 736.194 1549.07i 0.560042 1.17842i
\(121\) 938.384 + 938.384i 0.705022 + 0.705022i
\(122\) 200.432 + 57.3711i 0.148740 + 0.0425749i
\(123\) −549.491 227.606i −0.402812 0.166850i
\(124\) −104.900 452.434i −0.0759700 0.327660i
\(125\) 573.044 + 1383.45i 0.410037 + 0.989917i
\(126\) 1050.75 1322.25i 0.742923 0.934882i
\(127\) −316.036 −0.220816 −0.110408 0.993886i \(-0.535216\pi\)
−0.110408 + 0.993886i \(0.535216\pi\)
\(128\) −1448.05 + 17.3916i −0.999928 + 0.0120095i
\(129\) 2173.59 1.48352
\(130\) 1106.90 1392.90i 0.746778 0.939733i
\(131\) −126.926 306.426i −0.0846532 0.204371i 0.875884 0.482521i \(-0.160279\pi\)
−0.960538 + 0.278150i \(0.910279\pi\)
\(132\) −33.1877 143.139i −0.0218835 0.0943837i
\(133\) 907.224 + 375.785i 0.591476 + 0.244997i
\(134\) −2085.66 596.996i −1.34458 0.384870i
\(135\) 1712.78 + 1712.78i 1.09195 + 1.09195i
\(136\) −957.149 + 2013.99i −0.603491 + 1.26984i
\(137\) −465.127 + 465.127i −0.290062 + 0.290062i −0.837105 0.547043i \(-0.815754\pi\)
0.547043 + 0.837105i \(0.315754\pi\)
\(138\) −808.583 + 448.701i −0.498776 + 0.276782i
\(139\) 158.069 381.612i 0.0964548 0.232863i −0.868286 0.496064i \(-0.834778\pi\)
0.964741 + 0.263201i \(0.0847783\pi\)
\(140\) −538.928 + 385.177i −0.325341 + 0.232524i
\(141\) −37.5528 + 15.5549i −0.0224292 + 0.00929046i
\(142\) 2303.89 263.590i 1.36154 0.155774i
\(143\) 152.423i 0.0891345i
\(144\) 1221.75 3569.95i 0.707029 2.06594i
\(145\) 1235.95i 0.707864i
\(146\) −117.713 1028.86i −0.0667260 0.583214i
\(147\) 2059.34 853.006i 1.15545 0.478604i
\(148\) −288.449 + 1733.69i −0.160205 + 0.962897i
\(149\) 316.900 765.063i 0.174238 0.420647i −0.812502 0.582959i \(-0.801895\pi\)
0.986740 + 0.162312i \(0.0518949\pi\)
\(150\) 740.032 + 1333.58i 0.402822 + 0.725908i
\(151\) −1447.99 + 1447.99i −0.780369 + 0.780369i −0.979893 0.199524i \(-0.936060\pi\)
0.199524 + 0.979893i \(0.436060\pi\)
\(152\) 2191.00 + 111.734i 1.16917 + 0.0596239i
\(153\) −4108.29 4108.29i −2.17082 2.17082i
\(154\) −15.6171 + 54.5597i −0.00817181 + 0.0285490i
\(155\) −438.498 181.632i −0.227233 0.0941228i
\(156\) 3019.52 4842.35i 1.54971 2.48524i
\(157\) −1154.08 2786.21i −0.586662 1.41633i −0.886675 0.462393i \(-0.846991\pi\)
0.300013 0.953935i \(-0.403009\pi\)
\(158\) −1847.92 1468.49i −0.930459 0.739408i
\(159\) 217.593 0.108530
\(160\) −846.009 + 1214.28i −0.418018 + 0.599981i
\(161\) 357.160 0.174833
\(162\) 2557.72 + 2032.54i 1.24045 + 0.985751i
\(163\) 1315.01 + 3174.72i 0.631899 + 1.52554i 0.837232 + 0.546848i \(0.184172\pi\)
−0.205333 + 0.978692i \(0.565828\pi\)
\(164\) 435.482 + 271.552i 0.207350 + 0.129296i
\(165\) −138.730 57.4638i −0.0654552 0.0271125i
\(166\) −197.902 + 691.389i −0.0925310 + 0.323266i
\(167\) −2616.84 2616.84i −1.21256 1.21256i −0.970182 0.242376i \(-0.922073\pi\)
−0.242376 0.970182i \(-0.577927\pi\)
\(168\) −1576.98 + 1423.94i −0.724206 + 0.653925i
\(169\) 2632.38 2632.38i 1.19817 1.19817i
\(170\) 1105.72 + 1992.56i 0.498851 + 0.898956i
\(171\) −2187.47 + 5281.03i −0.978247 + 2.36170i
\(172\) −1850.11 307.819i −0.820173 0.136459i
\(173\) 1699.43 703.925i 0.746849 0.309355i 0.0233941 0.999726i \(-0.492553\pi\)
0.723455 + 0.690371i \(0.242553\pi\)
\(174\) 450.622 + 3938.63i 0.196331 + 1.71602i
\(175\) 589.055i 0.254448i
\(176\) 7.97764 + 126.537i 0.00341669 + 0.0541936i
\(177\) 2883.76i 1.22461i
\(178\) −713.503 + 81.6324i −0.300445 + 0.0343742i
\(179\) 1726.10 714.972i 0.720751 0.298545i 0.00800596 0.999968i \(-0.497452\pi\)
0.712745 + 0.701423i \(0.247452\pi\)
\(180\) −2242.15 3137.14i −0.928443 1.29905i
\(181\) 1087.42 2625.26i 0.446559 1.07809i −0.527043 0.849839i \(-0.676699\pi\)
0.973602 0.228251i \(-0.0733006\pi\)
\(182\) −1927.22 + 1069.46i −0.784918 + 0.435569i
\(183\) 483.221 483.221i 0.195195 0.195195i
\(184\) 751.793 267.415i 0.301212 0.107142i
\(185\) 1270.03 + 1270.03i 0.504726 + 0.504726i
\(186\) −1463.59 418.936i −0.576967 0.165150i
\(187\) 180.367 + 74.7105i 0.0705334 + 0.0292159i
\(188\) 34.1670 7.92183i 0.0132547 0.00307319i
\(189\) −1148.33 2772.32i −0.441953 1.06697i
\(190\) 1394.84 1755.25i 0.532593 0.670206i
\(191\) 1649.64 0.624940 0.312470 0.949928i \(-0.398844\pi\)
0.312470 + 0.949928i \(0.398844\pi\)
\(192\) −2253.27 + 4178.01i −0.846958 + 1.57043i
\(193\) −1928.59 −0.719291 −0.359645 0.933089i \(-0.617102\pi\)
−0.359645 + 0.933089i \(0.617102\pi\)
\(194\) 1098.11 1381.84i 0.406390 0.511395i
\(195\) −2231.76 5387.95i −0.819588 1.97866i
\(196\) −1873.67 + 434.422i −0.682823 + 0.158317i
\(197\) 3725.06 + 1542.97i 1.34720 + 0.558030i 0.935513 0.353293i \(-0.114938\pi\)
0.411692 + 0.911323i \(0.364938\pi\)
\(198\) −317.597 90.9082i −0.113993 0.0326291i
\(199\) 361.648 + 361.648i 0.128827 + 0.128827i 0.768580 0.639753i \(-0.220964\pi\)
−0.639753 + 0.768580i \(0.720964\pi\)
\(200\) −441.042 1239.92i −0.155932 0.438376i
\(201\) −5028.33 + 5028.33i −1.76453 + 1.76453i
\(202\) 4052.41 2248.77i 1.41152 0.783282i
\(203\) 585.940 1414.58i 0.202586 0.489086i
\(204\) 4250.09 + 5946.59i 1.45865 + 2.04091i
\(205\) 484.549 200.707i 0.165085 0.0683803i
\(206\) −581.828 + 66.5673i −0.196786 + 0.0225144i
\(207\) 2079.06i 0.698089i
\(208\) −3255.92 + 3694.09i −1.08537 + 1.23144i
\(209\) 192.074i 0.0635696i
\(210\) 246.816 + 2157.28i 0.0811043 + 0.708887i
\(211\) −5549.04 + 2298.49i −1.81048 + 0.749927i −0.828762 + 0.559601i \(0.810954\pi\)
−0.981721 + 0.190325i \(0.939046\pi\)
\(212\) −185.211 30.8150i −0.0600015 0.00998295i
\(213\) 2908.84 7022.56i 0.935730 2.25905i
\(214\) 1344.86 + 2423.50i 0.429591 + 0.774146i
\(215\) −1355.31 + 1355.31i −0.429914 + 0.429914i
\(216\) −4492.87 4975.74i −1.41528 1.56739i
\(217\) 415.767 + 415.767i 0.130065 + 0.130065i
\(218\) 278.390 972.582i 0.0864905 0.302163i
\(219\) −3136.11 1299.02i −0.967666 0.400820i
\(220\) 109.946 + 68.5587i 0.0336935 + 0.0210101i
\(221\) 2901.58 + 7005.03i 0.883174 + 2.13217i
\(222\) 4510.27 + 3584.18i 1.36356 + 1.08358i
\(223\) 2968.26 0.891344 0.445672 0.895196i \(-0.352965\pi\)
0.445672 + 0.895196i \(0.352965\pi\)
\(224\) 1543.95 988.701i 0.460533 0.294912i
\(225\) 3428.94 1.01598
\(226\) 1645.43 + 1307.57i 0.484302 + 0.384860i
\(227\) −947.980 2288.63i −0.277179 0.669169i 0.722576 0.691291i \(-0.242958\pi\)
−0.999755 + 0.0221219i \(0.992958\pi\)
\(228\) 3805.02 6102.04i 1.10524 1.77244i
\(229\) −5763.17 2387.18i −1.66306 0.688862i −0.664756 0.747061i \(-0.731464\pi\)
−0.998305 + 0.0581984i \(0.981464\pi\)
\(230\) 224.400 783.963i 0.0643326 0.224752i
\(231\) 131.538 + 131.538i 0.0374657 + 0.0374657i
\(232\) 174.221 3416.30i 0.0493024 0.966772i
\(233\) 3036.23 3036.23i 0.853691 0.853691i −0.136895 0.990586i \(-0.543712\pi\)
0.990586 + 0.136895i \(0.0437122\pi\)
\(234\) −6225.40 11218.5i −1.73918 3.13409i
\(235\) 13.7165 33.1146i 0.00380751 0.00919215i
\(236\) 408.392 2454.60i 0.112644 0.677037i
\(237\) −7148.03 + 2960.81i −1.95913 + 0.811500i
\(238\) −320.893 2804.74i −0.0873966 0.763885i
\(239\) 6291.50i 1.70278i 0.524537 + 0.851388i \(0.324239\pi\)
−0.524537 + 0.851388i \(0.675761\pi\)
\(240\) 2134.74 + 4356.10i 0.574154 + 1.17161i
\(241\) 795.320i 0.212577i −0.994335 0.106289i \(-0.966103\pi\)
0.994335 0.106289i \(-0.0338967\pi\)
\(242\) −3729.21 + 426.661i −0.990589 + 0.113334i
\(243\) 2503.05 1036.80i 0.660786 0.273706i
\(244\) −479.740 + 342.875i −0.125870 + 0.0899603i
\(245\) −752.193 + 1815.95i −0.196146 + 0.473539i
\(246\) 1470.94 816.260i 0.381236 0.211556i
\(247\) 5274.81 5274.81i 1.35882 1.35882i
\(248\) 1186.45 + 563.861i 0.303789 + 0.144376i
\(249\) 1666.87 + 1666.87i 0.424231 + 0.424231i
\(250\) −4071.87 1165.52i −1.03011 0.294856i
\(251\) 6040.73 + 2502.15i 1.51907 + 0.629221i 0.977406 0.211372i \(-0.0677931\pi\)
0.541668 + 0.840593i \(0.317793\pi\)
\(252\) 1078.95 + 4653.51i 0.269711 + 1.16327i
\(253\) −26.7345 64.5428i −0.00664341 0.0160386i
\(254\) 556.128 699.823i 0.137380 0.172877i
\(255\) 7469.64 1.83438
\(256\) 2509.62 3237.13i 0.612700 0.790315i
\(257\) −3591.20 −0.871645 −0.435823 0.900033i \(-0.643543\pi\)
−0.435823 + 0.900033i \(0.643543\pi\)
\(258\) −3824.86 + 4813.14i −0.922966 + 1.16145i
\(259\) −851.491 2055.68i −0.204282 0.493181i
\(260\) 1136.60 + 4902.17i 0.271111 + 1.16931i
\(261\) 8234.41 + 3410.80i 1.95286 + 0.808902i
\(262\) 901.894 + 258.156i 0.212669 + 0.0608739i
\(263\) −2616.63 2616.63i −0.613491 0.613491i 0.330363 0.943854i \(-0.392829\pi\)
−0.943854 + 0.330363i \(0.892829\pi\)
\(264\) 375.364 + 178.391i 0.0875077 + 0.0415880i
\(265\) −135.677 + 135.677i −0.0314513 + 0.0314513i
\(266\) −2428.57 + 1347.67i −0.559794 + 0.310642i
\(267\) −900.853 + 2174.85i −0.206484 + 0.498497i
\(268\) 4992.11 3567.91i 1.13784 0.813227i
\(269\) −6877.53 + 2848.77i −1.55885 + 0.645697i −0.984889 0.173186i \(-0.944594\pi\)
−0.573961 + 0.818883i \(0.694594\pi\)
\(270\) −6806.72 + 778.762i −1.53424 + 0.175533i
\(271\) 6338.06i 1.42070i 0.703848 + 0.710350i \(0.251463\pi\)
−0.703848 + 0.710350i \(0.748537\pi\)
\(272\) −2775.44 5663.51i −0.618698 1.26250i
\(273\) 7224.70i 1.60168i
\(274\) −211.483 1848.45i −0.0466282 0.407551i
\(275\) −106.449 + 44.0926i −0.0233422 + 0.00966867i
\(276\) 429.270 2580.08i 0.0936197 0.562691i
\(277\) 655.560 1582.66i 0.142198 0.343296i −0.836695 0.547669i \(-0.815515\pi\)
0.978893 + 0.204373i \(0.0655155\pi\)
\(278\) 566.879 + 1021.55i 0.122299 + 0.220389i
\(279\) −2420.21 + 2420.21i −0.519334 + 0.519334i
\(280\) 95.4247 1871.18i 0.0203668 0.399374i
\(281\) −3436.47 3436.47i −0.729547 0.729547i 0.240983 0.970529i \(-0.422530\pi\)
−0.970529 + 0.240983i \(0.922530\pi\)
\(282\) 31.6372 110.528i 0.00668074 0.0233398i
\(283\) −5101.55 2113.13i −1.07158 0.443861i −0.224029 0.974582i \(-0.571921\pi\)
−0.847546 + 0.530722i \(0.821921\pi\)
\(284\) −3470.46 + 5565.51i −0.725120 + 1.16286i
\(285\) −2812.33 6789.57i −0.584520 1.41116i
\(286\) 337.521 + 268.218i 0.0697834 + 0.0554548i
\(287\) −649.732 −0.133632
\(288\) 5755.31 + 8987.44i 1.17755 + 1.83885i
\(289\) −4798.52 −0.976698
\(290\) −2736.86 2174.90i −0.554187 0.440396i
\(291\) −2214.05 5345.18i −0.446013 1.07677i
\(292\) 2485.43 + 1549.83i 0.498112 + 0.310606i
\(293\) 2820.64 + 1168.35i 0.562402 + 0.232954i 0.645727 0.763568i \(-0.276554\pi\)
−0.0833258 + 0.996522i \(0.526554\pi\)
\(294\) −1734.94 + 6061.18i −0.344162 + 1.20237i
\(295\) −1798.13 1798.13i −0.354886 0.354886i
\(296\) −3331.46 3689.51i −0.654180 0.724488i
\(297\) −415.034 + 415.034i −0.0810866 + 0.0810866i
\(298\) 1136.49 + 2048.02i 0.220923 + 0.398115i
\(299\) 1038.30 2506.69i 0.200825 0.484835i
\(300\) −4255.28 707.986i −0.818928 0.136252i
\(301\) 2193.72 908.669i 0.420080 0.174003i
\(302\) −658.367 5754.42i −0.125446 1.09645i
\(303\) 15191.5i 2.88030i
\(304\) −4102.91 + 4655.07i −0.774073 + 0.878245i
\(305\) 602.612i 0.113133i
\(306\) 16326.6 1867.94i 3.05010 0.348965i
\(307\) 424.120 175.676i 0.0788463 0.0326592i −0.342912 0.939368i \(-0.611413\pi\)
0.421758 + 0.906708i \(0.361413\pi\)
\(308\) −93.3344 130.591i −0.0172670 0.0241594i
\(309\) −734.603 + 1773.49i −0.135243 + 0.326506i
\(310\) 1173.83 651.383i 0.215061 0.119342i
\(311\) −3761.67 + 3761.67i −0.685868 + 0.685868i −0.961316 0.275448i \(-0.911174\pi\)
0.275448 + 0.961316i \(0.411174\pi\)
\(312\) 5409.32 + 15207.4i 0.981547 + 2.75946i
\(313\) 718.221 + 718.221i 0.129700 + 0.129700i 0.768977 0.639277i \(-0.220766\pi\)
−0.639277 + 0.768977i \(0.720766\pi\)
\(314\) 8200.55 + 2347.31i 1.47383 + 0.421867i
\(315\) 4510.17 + 1868.18i 0.806729 + 0.334158i
\(316\) 6503.56 1507.89i 1.15777 0.268435i
\(317\) 1315.47 + 3175.83i 0.233073 + 0.562689i 0.996536 0.0831634i \(-0.0265023\pi\)
−0.763463 + 0.645852i \(0.776502\pi\)
\(318\) −382.898 + 481.832i −0.0675215 + 0.0849680i
\(319\) −299.491 −0.0525651
\(320\) −1200.14 4010.14i −0.209657 0.700543i
\(321\) 9085.14 1.57970
\(322\) −628.493 + 790.886i −0.108772 + 0.136877i
\(323\) 3656.40 + 8827.33i 0.629869 + 1.52064i
\(324\) −9001.63 + 2087.09i −1.54349 + 0.357868i
\(325\) −4134.23 1712.45i −0.705617 0.292276i
\(326\) −9344.04 2674.62i −1.58748 0.454397i
\(327\) −2344.80 2344.80i −0.396537 0.396537i
\(328\) −1367.63 + 486.471i −0.230229 + 0.0818930i
\(329\) −31.3979 + 31.3979i −0.00526147 + 0.00526147i
\(330\) 371.370 206.081i 0.0619492 0.0343770i
\(331\) 515.566 1244.69i 0.0856136 0.206689i −0.875274 0.483626i \(-0.839319\pi\)
0.960888 + 0.276937i \(0.0893193\pi\)
\(332\) −1182.75 1654.86i −0.195517 0.273562i
\(333\) 11966.3 4956.60i 1.96921 0.815675i
\(334\) 10399.5 1189.82i 1.70370 0.194922i
\(335\) 6270.70i 1.02270i
\(336\) −378.133 5997.73i −0.0613953 0.973818i
\(337\) 4770.86i 0.771173i −0.922672 0.385587i \(-0.873999\pi\)
0.922672 0.385587i \(-0.126001\pi\)
\(338\) 1196.88 + 10461.3i 0.192609 + 1.68348i
\(339\) 6364.77 2636.37i 1.01972 0.422384i
\(340\) −6358.01 1057.84i −1.01415 0.168733i
\(341\) 44.0123 106.255i 0.00698944 0.0168740i
\(342\) −7844.88 14136.9i −1.24036 2.23519i
\(343\) 4178.26 4178.26i 0.657741 0.657741i
\(344\) 3937.27 3555.17i 0.617102 0.557216i
\(345\) −1890.06 1890.06i −0.294949 0.294949i
\(346\) −1431.72 + 5001.86i −0.222456 + 0.777173i
\(347\) 2534.53 + 1049.84i 0.392105 + 0.162415i 0.570021 0.821630i \(-0.306935\pi\)
−0.177915 + 0.984046i \(0.556935\pi\)
\(348\) −9514.57 5932.96i −1.46562 0.913908i
\(349\) 1115.54 + 2693.15i 0.171099 + 0.413069i 0.986048 0.166464i \(-0.0532349\pi\)
−0.814949 + 0.579533i \(0.803235\pi\)
\(350\) 1304.39 + 1036.56i 0.199207 + 0.158304i
\(351\) −22795.6 −3.46650
\(352\) −294.238 205.001i −0.0445539 0.0310415i
\(353\) 2416.71 0.364387 0.182193 0.983263i \(-0.441680\pi\)
0.182193 + 0.983263i \(0.441680\pi\)
\(354\) −6385.73 5074.55i −0.958751 0.761891i
\(355\) 2565.06 + 6192.60i 0.383490 + 0.925828i
\(356\) 1074.79 1723.61i 0.160010 0.256605i
\(357\) −8549.23 3541.21i −1.26743 0.524988i
\(358\) −1454.19 + 5080.36i −0.214683 + 0.750015i
\(359\) 8445.07 + 8445.07i 1.24154 + 1.24154i 0.959361 + 0.282182i \(0.0910582\pi\)
0.282182 + 0.959361i \(0.408942\pi\)
\(360\) 10892.3 + 555.475i 1.59465 + 0.0813225i
\(361\) 1796.96 1796.96i 0.261986 0.261986i
\(362\) 3899.79 + 7027.62i 0.566210 + 1.02034i
\(363\) −4708.42 + 11367.1i −0.680793 + 1.64358i
\(364\) 1023.15 6149.51i 0.147328 0.885500i
\(365\) 2765.47 1145.49i 0.396579 0.164268i
\(366\) 219.709 + 1920.36i 0.0313781 + 0.274258i
\(367\) 1632.32i 0.232170i 0.993239 + 0.116085i \(0.0370345\pi\)
−0.993239 + 0.116085i \(0.962966\pi\)
\(368\) −730.772 + 2135.32i −0.103517 + 0.302477i
\(369\) 3782.14i 0.533578i
\(370\) −5047.19 + 577.453i −0.709164 + 0.0811360i
\(371\) 219.608 90.9648i 0.0307318 0.0127295i
\(372\) 3503.16 2503.74i 0.488254 0.348960i
\(373\) −5198.39 + 12550.0i −0.721615 + 1.74213i −0.0529149 + 0.998599i \(0.516851\pi\)
−0.668700 + 0.743533i \(0.733149\pi\)
\(374\) −482.829 + 267.933i −0.0667553 + 0.0370440i
\(375\) −9816.87 + 9816.87i −1.35184 + 1.35184i
\(376\) −42.5817 + 89.5986i −0.00584038 + 0.0122891i
\(377\) −8224.72 8224.72i −1.12359 1.12359i
\(378\) 8159.69 + 2335.61i 1.11029 + 0.317807i
\(379\) −4404.78 1824.52i −0.596987 0.247280i 0.0636663 0.997971i \(-0.479721\pi\)
−0.660653 + 0.750691i \(0.729721\pi\)
\(380\) 1432.27 + 6177.42i 0.193353 + 0.833934i
\(381\) −1121.28 2707.02i −0.150775 0.364002i
\(382\) −2902.86 + 3652.91i −0.388805 + 0.489265i
\(383\) 7295.56 0.973331 0.486665 0.873589i \(-0.338213\pi\)
0.486665 + 0.873589i \(0.338213\pi\)
\(384\) −5286.60 12341.6i −0.702554 1.64012i
\(385\) −164.038 −0.0217147
\(386\) 3393.74 4270.63i 0.447505 0.563133i
\(387\) 5289.44 + 12769.8i 0.694773 + 1.67733i
\(388\) 1127.58 + 4863.25i 0.147536 + 0.636326i
\(389\) −2614.79 1083.08i −0.340810 0.141168i 0.205712 0.978612i \(-0.434049\pi\)
−0.546523 + 0.837444i \(0.684049\pi\)
\(390\) 15858.2 + 4539.21i 2.05900 + 0.589363i
\(391\) 2457.32 + 2457.32i 0.317832 + 0.317832i
\(392\) 2335.12 4913.46i 0.300870 0.633079i
\(393\) 2174.38 2174.38i 0.279091 0.279091i
\(394\) −9971.69 + 5533.51i −1.27504 + 0.707549i
\(395\) 2610.89 6303.24i 0.332577 0.802913i
\(396\) 760.179 543.307i 0.0964658 0.0689450i
\(397\) −1867.07 + 773.367i −0.236034 + 0.0977687i −0.497566 0.867426i \(-0.665773\pi\)
0.261531 + 0.965195i \(0.415773\pi\)
\(398\) −1437.22 + 164.433i −0.181008 + 0.0207092i
\(399\) 9104.14i 1.14230i
\(400\) 3521.74 + 1205.25i 0.440217 + 0.150656i
\(401\) 12147.1i 1.51271i −0.654162 0.756354i \(-0.726979\pi\)
0.654162 0.756354i \(-0.273021\pi\)
\(402\) −2286.27 19983.0i −0.283653 2.47925i
\(403\) 4126.70 1709.33i 0.510088 0.211285i
\(404\) −2151.39 + 12930.7i −0.264940 + 1.59239i
\(405\) −3613.75 + 8724.36i −0.443379 + 1.07041i
\(406\) 2101.34 + 3786.73i 0.256867 + 0.462888i
\(407\) −307.748 + 307.748i −0.0374803 + 0.0374803i
\(408\) −20646.9 1052.93i −2.50532 0.127764i
\(409\) 9049.93 + 9049.93i 1.09411 + 1.09411i 0.995085 + 0.0990235i \(0.0315719\pi\)
0.0990235 + 0.995085i \(0.468428\pi\)
\(410\) −408.220 + 1426.16i −0.0491721 + 0.171787i
\(411\) −5634.32 2333.81i −0.676206 0.280094i
\(412\) 876.436 1405.52i 0.104803 0.168071i
\(413\) 1205.56 + 2910.48i 0.143636 + 0.346768i
\(414\) −4603.81 3658.51i −0.546534 0.434314i
\(415\) −2078.71 −0.245879
\(416\) −2450.66 13710.3i −0.288831 1.61587i
\(417\) 3829.54 0.449720
\(418\) 425.325 + 337.993i 0.0497687 + 0.0395497i
\(419\) −5216.15 12592.9i −0.608176 1.46827i −0.864982 0.501803i \(-0.832670\pi\)
0.256806 0.966463i \(-0.417330\pi\)
\(420\) −5211.35 3249.62i −0.605447 0.377536i
\(421\) 12044.9 + 4989.15i 1.39437 + 0.577568i 0.948285 0.317421i \(-0.102817\pi\)
0.446088 + 0.894989i \(0.352817\pi\)
\(422\) 4674.93 16332.3i 0.539270 1.88399i
\(423\) −182.770 182.770i −0.0210084 0.0210084i
\(424\) 394.151 355.900i 0.0451454 0.0407643i
\(425\) 4052.81 4052.81i 0.462565 0.462565i
\(426\) 10431.9 + 18798.9i 1.18645 + 2.13805i
\(427\) 285.686 689.708i 0.0323778 0.0781670i
\(428\) −7733.09 1286.62i −0.873348 0.145306i
\(429\) 1305.58 540.791i 0.146933 0.0608616i
\(430\) −616.229 5386.11i −0.0691098 0.604050i
\(431\) 3074.64i 0.343620i −0.985130 0.171810i \(-0.945039\pi\)
0.985130 0.171810i \(-0.0549615\pi\)
\(432\) 18924.2 1193.10i 2.10762 0.132877i
\(433\) 3478.83i 0.386101i 0.981189 + 0.193051i \(0.0618381\pi\)
−0.981189 + 0.193051i \(0.938162\pi\)
\(434\) −1652.29 + 189.039i −0.182747 + 0.0209083i
\(435\) −10586.6 + 4385.12i −1.16687 + 0.483334i
\(436\) 1663.78 + 2327.91i 0.182754 + 0.255703i
\(437\) 1308.41 3158.78i 0.143226 0.345778i
\(438\) 8395.13 4658.64i 0.915833 0.508216i
\(439\) 6595.03 6595.03i 0.717001 0.717001i −0.250989 0.967990i \(-0.580756\pi\)
0.967990 + 0.250989i \(0.0807557\pi\)
\(440\) −345.287 + 122.820i −0.0374112 + 0.0133073i
\(441\) 10022.8 + 10022.8i 1.08226 + 1.08226i
\(442\) −20617.7 5901.56i −2.21874 0.635088i
\(443\) 1177.46 + 487.720i 0.126282 + 0.0523076i 0.444930 0.895566i \(-0.353229\pi\)
−0.318648 + 0.947873i \(0.603229\pi\)
\(444\) −15873.4 + 3680.36i −1.69667 + 0.393383i
\(445\) −794.385 1917.82i −0.0846235 0.204299i
\(446\) −5223.25 + 6572.85i −0.554547 + 0.697833i
\(447\) 7677.53 0.812382
\(448\) −527.527 + 5158.69i −0.0556324 + 0.544030i
\(449\) −517.491 −0.0543918 −0.0271959 0.999630i \(-0.508658\pi\)
−0.0271959 + 0.999630i \(0.508658\pi\)
\(450\) −6033.90 + 7592.96i −0.632091 + 0.795412i
\(451\) 48.6344 + 117.414i 0.00507784 + 0.0122590i
\(452\) −5790.91 + 1342.66i −0.602614 + 0.139720i
\(453\) −17540.2 7265.40i −1.81923 0.753550i
\(454\) 6736.04 + 1928.11i 0.696339 + 0.199319i
\(455\) −4504.87 4504.87i −0.464157 0.464157i
\(456\) 6816.51 + 19163.5i 0.700027 + 1.96801i
\(457\) 1142.85 1142.85i 0.116981 0.116981i −0.646193 0.763174i \(-0.723640\pi\)
0.763174 + 0.646193i \(0.223640\pi\)
\(458\) 15427.6 8561.10i 1.57398 0.873436i
\(459\) 11173.3 26974.8i 1.13622 2.74309i
\(460\) 1341.11 + 1876.44i 0.135934 + 0.190195i
\(461\) −7860.73 + 3256.02i −0.794166 + 0.328954i −0.742617 0.669716i \(-0.766416\pi\)
−0.0515489 + 0.998670i \(0.516416\pi\)
\(462\) −522.743 + 59.8074i −0.0526411 + 0.00602271i
\(463\) 2545.63i 0.255519i −0.991805 0.127760i \(-0.959221\pi\)
0.991805 0.127760i \(-0.0407786\pi\)
\(464\) 7258.39 + 6397.45i 0.726212 + 0.640073i
\(465\) 4400.40i 0.438847i
\(466\) 1380.50 + 12066.2i 0.137233 + 1.19948i
\(467\) −7269.46 + 3011.11i −0.720322 + 0.298367i −0.712568 0.701603i \(-0.752468\pi\)
−0.00775364 + 0.999970i \(0.502468\pi\)
\(468\) 35796.8 + 5955.82i 3.53570 + 0.588265i
\(469\) −2972.81 + 7177.01i −0.292690 + 0.706617i
\(470\) 49.1912 + 88.6452i 0.00482770 + 0.00869978i
\(471\) 19770.7 19770.7i 1.93415 1.93415i
\(472\) 4716.76 + 5223.69i 0.459971 + 0.509406i
\(473\) −328.413 328.413i −0.0319249 0.0319249i
\(474\) 6022.04 21038.6i 0.583547 2.03868i
\(475\) −5209.71 2157.93i −0.503237 0.208448i
\(476\) 6775.43 + 4224.93i 0.652419 + 0.406826i
\(477\) 529.513 + 1278.36i 0.0508276 + 0.122709i
\(478\) −13931.7 11071.1i −1.33310 1.05938i
\(479\) −19071.7 −1.81922 −0.909612 0.415459i \(-0.863621\pi\)
−0.909612 + 0.415459i \(0.863621\pi\)
\(480\) −13402.6 2938.32i −1.27446 0.279407i
\(481\) −16903.0 −1.60231
\(482\) 1761.14 + 1399.52i 0.166427 + 0.132254i
\(483\) 1267.19 + 3059.27i 0.119377 + 0.288202i
\(484\) 5617.49 9008.66i 0.527563 0.846043i
\(485\) 4713.46 + 1952.38i 0.441293 + 0.182790i
\(486\) −2108.76 + 7367.15i −0.196821 + 0.687615i
\(487\) 4422.93 + 4422.93i 0.411544 + 0.411544i 0.882276 0.470732i \(-0.156010\pi\)
−0.470732 + 0.882276i \(0.656010\pi\)
\(488\) 84.9447 1665.68i 0.00787964 0.154512i
\(489\) −22527.6 + 22527.6i −2.08330 + 2.08330i
\(490\) −2697.57 4861.17i −0.248702 0.448174i
\(491\) −1908.12 + 4606.60i −0.175381 + 0.423408i −0.986987 0.160797i \(-0.948593\pi\)
0.811606 + 0.584205i \(0.198593\pi\)
\(492\) −780.913 + 4693.59i −0.0715575 + 0.430089i
\(493\) 13764.0 5701.22i 1.25740 0.520832i
\(494\) 2398.33 + 20962.5i 0.218434 + 1.90921i
\(495\) 954.878i 0.0867042i
\(496\) −3336.40 + 1635.02i −0.302034 + 0.148014i
\(497\) 8303.65i 0.749436i
\(498\) −6624.27 + 757.887i −0.596065 + 0.0681963i
\(499\) −9996.34 + 4140.62i −0.896789 + 0.371462i −0.782985 0.622041i \(-0.786304\pi\)
−0.113804 + 0.993503i \(0.536304\pi\)
\(500\) 9746.16 6965.67i 0.871723 0.623029i
\(501\) 13130.2 31699.1i 1.17089 2.82677i
\(502\) −16170.6 + 8973.41i −1.43770 + 0.797814i
\(503\) −6186.59 + 6186.59i −0.548402 + 0.548402i −0.925978 0.377576i \(-0.876758\pi\)
0.377576 + 0.925978i \(0.376758\pi\)
\(504\) −12203.2 5799.59i −1.07852 0.512568i
\(505\) 9472.48 + 9472.48i 0.834693 + 0.834693i
\(506\) 189.967 + 54.3756i 0.0166898 + 0.00477726i
\(507\) 31887.3 + 13208.2i 2.79323 + 1.15699i
\(508\) 571.052 + 2462.95i 0.0498747 + 0.215110i
\(509\) 1472.42 + 3554.75i 0.128220 + 0.309551i 0.974933 0.222500i \(-0.0714216\pi\)
−0.846713 + 0.532051i \(0.821422\pi\)
\(510\) −13144.3 + 16540.6i −1.14126 + 1.43614i
\(511\) −3708.22 −0.321021
\(512\) 2752.05 + 11253.6i 0.237548 + 0.971376i
\(513\) −28725.7 −2.47226
\(514\) 6319.43 7952.26i 0.542292 0.682411i
\(515\) −647.783 1563.89i −0.0554267 0.133812i
\(516\) −3927.50 16939.3i −0.335074 1.44518i
\(517\) 8.02418 + 3.32372i 0.000682598 + 0.000282741i
\(518\) 6050.42 + 1731.86i 0.513205 + 0.146899i
\(519\) 12059.0 + 12059.0i 1.01991 + 1.01991i
\(520\) −12855.3 6109.48i −1.08412 0.515228i
\(521\) −41.6914 + 41.6914i −0.00350582 + 0.00350582i −0.708858 0.705352i \(-0.750789\pi\)
0.705352 + 0.708858i \(0.250789\pi\)
\(522\) −22042.9 + 12232.1i −1.84826 + 1.02564i
\(523\) 6675.06 16115.0i 0.558088 1.34734i −0.353191 0.935551i \(-0.614903\pi\)
0.911278 0.411791i \(-0.135097\pi\)
\(524\) −2158.72 + 1542.86i −0.179970 + 0.128626i
\(525\) 5045.58 2089.95i 0.419442 0.173739i
\(526\) 10398.7 1189.72i 0.861984 0.0986203i
\(527\) 5721.10i 0.472894i
\(528\) −1055.55 + 517.281i −0.0870020 + 0.0426359i
\(529\) 10923.4i 0.897792i
\(530\) −61.6893 539.191i −0.00505587 0.0441905i
\(531\) −16942.1 + 7017.65i −1.38460 + 0.573522i
\(532\) 1289.31 7749.25i 0.105073 0.631528i
\(533\) −1888.85 + 4560.08i −0.153499 + 0.370579i
\(534\) −3230.71 5821.91i −0.261810 0.471795i
\(535\) −5664.92 + 5664.92i −0.457787 + 0.457787i
\(536\) −883.923 + 17332.9i −0.0712307 + 1.39676i
\(537\) 12248.3 + 12248.3i 0.984266 + 0.984266i
\(538\) 5794.15 20242.4i 0.464319 1.62214i
\(539\) −440.035 182.268i −0.0351644 0.0145656i
\(540\) 10253.3 16443.0i 0.817096 1.31036i
\(541\) −5953.02 14371.9i −0.473087 1.14213i −0.962792 0.270245i \(-0.912895\pi\)
0.489704 0.871889i \(-0.337105\pi\)
\(542\) −14034.9 11153.1i −1.11227 0.883885i
\(543\) 26344.9 2.08208
\(544\) 17425.1 + 3820.19i 1.37333 + 0.301084i
\(545\) 2924.14 0.229828
\(546\) −15998.2 12713.3i −1.25396 0.996481i
\(547\) 2956.49 + 7137.60i 0.231098 + 0.557919i 0.996307 0.0858625i \(-0.0273646\pi\)
−0.765209 + 0.643782i \(0.777365\pi\)
\(548\) 4465.31 + 2784.41i 0.348081 + 0.217052i
\(549\) 4014.84 + 1663.00i 0.312112 + 0.129281i
\(550\) 89.6805 313.308i 0.00695271 0.0242900i
\(551\) −10364.3 10364.3i −0.801333 0.801333i
\(552\) 4957.89 + 5490.74i 0.382286 + 0.423372i
\(553\) −5976.48 + 5976.48i −0.459576 + 0.459576i
\(554\) 2351.02 + 4236.66i 0.180298 + 0.324907i
\(555\) −6372.47 + 15384.5i −0.487381 + 1.17664i
\(556\) −3259.62 542.331i −0.248631 0.0413668i
\(557\) −6601.43 + 2734.40i −0.502176 + 0.208008i −0.619367 0.785101i \(-0.712611\pi\)
0.117192 + 0.993109i \(0.462611\pi\)
\(558\) −1100.41 9618.10i −0.0834843 0.729689i
\(559\) 18038.0i 1.36481i
\(560\) 3975.59 + 3504.03i 0.299999 + 0.264415i
\(561\) 1810.01i 0.136219i
\(562\) 13656.8 1562.48i 1.02505 0.117276i
\(563\) 17608.4 7293.65i 1.31813 0.545987i 0.390883 0.920440i \(-0.372170\pi\)
0.927246 + 0.374453i \(0.122170\pi\)
\(564\) 189.078 + 264.552i 0.0141163 + 0.0197512i
\(565\) −2324.79 + 5612.54i −0.173106 + 0.417914i
\(566\) 13656.5 7578.28i 1.01418 0.562789i
\(567\) 8272.09 8272.09i 0.612690 0.612690i
\(568\) −6217.17 17478.5i −0.459272 1.29117i
\(569\) −13651.2 13651.2i −1.00578 1.00578i −0.999983 0.00579351i \(-0.998156\pi\)
−0.00579351 0.999983i \(-0.501844\pi\)
\(570\) 19983.5 + 5720.04i 1.46845 + 0.420327i
\(571\) −15023.6 6222.97i −1.10108 0.456083i −0.243224 0.969970i \(-0.578205\pi\)
−0.857858 + 0.513887i \(0.828205\pi\)
\(572\) −1187.87 + 275.416i −0.0868312 + 0.0201324i
\(573\) 5852.85 + 14130.0i 0.426713 + 1.03018i
\(574\) 1143.33 1438.75i 0.0831390 0.104621i
\(575\) −2050.98 −0.148751
\(576\) −30029.2 3070.78i −2.17225 0.222134i
\(577\) 17031.0 1.22879 0.614394 0.788999i \(-0.289400\pi\)
0.614394 + 0.788999i \(0.289400\pi\)
\(578\) 8443.94 10625.7i 0.607650 0.764657i
\(579\) −6842.58 16519.4i −0.491136 1.18571i
\(580\) 9632.11 2233.27i 0.689572 0.159882i
\(581\) 2379.15 + 985.475i 0.169886 + 0.0703690i
\(582\) 15732.3 + 4503.18i 1.12049 + 0.320726i
\(583\) −32.8767 32.8767i −0.00233553 0.00233553i
\(584\) −7805.51 + 2776.44i −0.553072 + 0.196729i
\(585\) 26223.2 26223.2i 1.85333 1.85333i
\(586\) −7550.64 + 4190.02i −0.532277 + 0.295372i
\(587\) −6926.72 + 16722.6i −0.487046 + 1.17583i 0.469153 + 0.883117i \(0.344559\pi\)
−0.956199 + 0.292717i \(0.905441\pi\)
\(588\) −10368.8 14507.7i −0.727212 1.01749i
\(589\) 5200.22 2154.00i 0.363788 0.150686i
\(590\) 7145.91 817.569i 0.498632 0.0570488i
\(591\) 37381.5i 2.60181i
\(592\) 14032.3 884.682i 0.974199 0.0614193i
\(593\) 23359.0i 1.61760i 0.588082 + 0.808801i \(0.299883\pi\)
−0.588082 + 0.808801i \(0.700117\pi\)
\(594\) −188.706 1649.38i −0.0130349 0.113930i
\(595\) 7538.84 3122.69i 0.519432 0.215156i
\(596\) −6534.96 1087.28i −0.449131 0.0747258i
\(597\) −1814.60 + 4380.82i −0.124399 + 0.300327i
\(598\) 3723.65 + 6710.21i 0.254634 + 0.458865i
\(599\) −8027.34 + 8027.34i −0.547559 + 0.547559i −0.925734 0.378175i \(-0.876552\pi\)
0.378175 + 0.925734i \(0.376552\pi\)
\(600\) 9055.75 8176.94i 0.616166 0.556370i
\(601\) 11725.6 + 11725.6i 0.795837 + 0.795837i 0.982436 0.186599i \(-0.0597466\pi\)
−0.186599 + 0.982436i \(0.559747\pi\)
\(602\) −1848.15 + 6456.71i −0.125125 + 0.437136i
\(603\) −41777.9 17305.0i −2.82144 1.16868i
\(604\) 13901.0 + 8668.17i 0.936461 + 0.583945i
\(605\) −4151.95 10023.7i −0.279010 0.673589i
\(606\) 33639.8 + 26732.5i 2.25499 + 1.79197i
\(607\) −25799.6 −1.72516 −0.862580 0.505920i \(-0.831153\pi\)
−0.862580 + 0.505920i \(0.831153\pi\)
\(608\) −3088.18 17276.9i −0.205990 1.15242i
\(609\) 14195.6 0.944555
\(610\) −1334.41 1060.42i −0.0885716 0.0703852i
\(611\) 129.086 + 311.640i 0.00854705 + 0.0206344i
\(612\) −24593.6 + 39440.3i −1.62441 + 2.60503i
\(613\) 8320.05 + 3446.28i 0.548195 + 0.227070i 0.639551 0.768748i \(-0.279120\pi\)
−0.0913562 + 0.995818i \(0.529120\pi\)
\(614\) −357.310 + 1248.30i −0.0234851 + 0.0820476i
\(615\) 3438.32 + 3438.32i 0.225442 + 0.225442i
\(616\) 453.418 + 23.1229i 0.0296570 + 0.00151242i
\(617\) −14643.0 + 14643.0i −0.955437 + 0.955437i −0.999049 0.0436114i \(-0.986114\pi\)
0.0436114 + 0.999049i \(0.486114\pi\)
\(618\) −2634.49 4747.49i −0.171480 0.309016i
\(619\) −842.686 + 2034.42i −0.0547180 + 0.132101i −0.948874 0.315654i \(-0.897776\pi\)
0.894156 + 0.447755i \(0.147776\pi\)
\(620\) −623.176 + 3745.53i −0.0403667 + 0.242620i
\(621\) −9652.70 + 3998.28i −0.623751 + 0.258366i
\(622\) −1710.35 14949.2i −0.110255 0.963677i
\(623\) 2571.60i 0.165376i
\(624\) −43193.7 14782.2i −2.77105 0.948337i
\(625\) 4972.32i 0.318228i
\(626\) −2854.26 + 326.558i −0.182235 + 0.0208497i
\(627\) 1645.22 681.473i 0.104791 0.0434057i
\(628\) −19628.3 + 14028.5i −1.24722 + 0.891401i
\(629\) 8285.04 20001.9i 0.525193 1.26793i
\(630\) −12073.4 + 6699.79i −0.763516 + 0.423692i
\(631\) 16113.6 16113.6i 1.01660 1.01660i 0.0167358 0.999860i \(-0.494673\pi\)
0.999860 0.0167358i \(-0.00532743\pi\)
\(632\) −8105.27 + 17054.8i −0.510143 + 1.07342i
\(633\) −39375.6 39375.6i −2.47242 2.47242i
\(634\) −9347.31 2675.55i −0.585535 0.167602i
\(635\) 2387.09 + 988.765i 0.149179 + 0.0617921i
\(636\) −393.173 1695.76i −0.0245131 0.105725i
\(637\) −7078.87 17089.9i −0.440306 1.06299i
\(638\) 527.014 663.185i 0.0327032 0.0411532i
\(639\) 48336.2 2.99241
\(640\) 10991.9 + 4399.08i 0.678893 + 0.271701i
\(641\) 21358.0 1.31605 0.658026 0.752995i \(-0.271392\pi\)
0.658026 + 0.752995i \(0.271392\pi\)
\(642\) −15987.1 + 20117.9i −0.982806 + 1.23675i
\(643\) −1217.22 2938.63i −0.0746540 0.180231i 0.882147 0.470974i \(-0.156097\pi\)
−0.956801 + 0.290743i \(0.906097\pi\)
\(644\) −645.359 2783.44i −0.0394887 0.170315i
\(645\) −16417.6 6800.39i −1.00224 0.415139i
\(646\) −25981.2 7436.80i −1.58238 0.452937i
\(647\) 16654.8 + 16654.8i 1.01200 + 1.01200i 0.999927 + 0.0120763i \(0.00384410\pi\)
0.0120763 + 0.999927i \(0.496156\pi\)
\(648\) 11218.6 23605.6i 0.680103 1.43104i
\(649\) 435.716 435.716i 0.0263534 0.0263534i
\(650\) 11067.0 6141.33i 0.667821 0.370589i
\(651\) −2086.14 + 5036.39i −0.125595 + 0.303213i
\(652\) 22365.3 15984.7i 1.34339 0.960136i
\(653\) 20645.8 8551.79i 1.23727 0.512492i 0.334406 0.942429i \(-0.391464\pi\)
0.902859 + 0.429937i \(0.141464\pi\)
\(654\) 9318.41 1066.13i 0.557154 0.0637444i
\(655\) 2711.61i 0.161758i
\(656\) 1329.39 3884.50i 0.0791221 0.231195i
\(657\) 21585.8i 1.28180i
\(658\) −14.2759 124.778i −0.000845794 0.00739261i
\(659\) 3783.98 1567.37i 0.223676 0.0926498i −0.268031 0.963410i \(-0.586373\pi\)
0.491707 + 0.870760i \(0.336373\pi\)
\(660\) −197.157 + 1184.99i −0.0116278 + 0.0698875i
\(661\) −9874.75 + 23839.8i −0.581064 + 1.40281i 0.310785 + 0.950480i \(0.399408\pi\)
−0.891849 + 0.452333i \(0.850592\pi\)
\(662\) 1848.96 + 3331.93i 0.108553 + 0.195618i
\(663\) −49707.2 + 49707.2i −2.91172 + 2.91172i
\(664\) 5745.77 + 293.017i 0.335812 + 0.0171254i
\(665\) −5676.77 5676.77i −0.331031 0.331031i
\(666\) −10081.3 + 35220.0i −0.586549 + 2.04917i
\(667\) −4925.31 2040.13i −0.285920 0.118432i
\(668\) −15665.3 + 25122.2i −0.907350 + 1.45510i
\(669\) 10531.3 + 25424.8i 0.608615 + 1.46933i
\(670\) 13885.7 + 11034.5i 0.800673 + 0.636271i
\(671\) −146.022 −0.00840109
\(672\) 13946.6 + 9716.87i 0.800599 + 0.557792i
\(673\) 8888.42 0.509099 0.254549 0.967060i \(-0.418073\pi\)
0.254549 + 0.967060i \(0.418073\pi\)
\(674\) 10564.5 + 8395.28i 0.603751 + 0.479783i
\(675\) 6594.28 + 15920.0i 0.376020 + 0.907794i
\(676\) −25271.3 15758.3i −1.43783 0.896582i
\(677\) −12382.5 5128.98i −0.702949 0.291171i 0.00243434 0.999997i \(-0.499225\pi\)
−0.705383 + 0.708826i \(0.749225\pi\)
\(678\) −5362.15 + 18733.2i −0.303735 + 1.06113i
\(679\) −4469.11 4469.11i −0.252590 0.252590i
\(680\) 13530.6 12217.5i 0.763053 0.689002i
\(681\) 16239.9 16239.9i 0.913826 0.913826i
\(682\) 157.840 + 284.437i 0.00886220 + 0.0159702i
\(683\) −3359.39 + 8110.29i −0.188204 + 0.454365i −0.989614 0.143751i \(-0.954084\pi\)
0.801410 + 0.598116i \(0.204084\pi\)
\(684\) 45109.0 + 7505.17i 2.52162 + 0.419543i
\(685\) 4968.43 2057.99i 0.277130 0.114791i
\(686\) 1899.76 + 16604.7i 0.105734 + 0.924157i
\(687\) 57834.3i 3.21181i
\(688\) 944.089 + 14974.6i 0.0523155 + 0.829800i
\(689\) 1805.74i 0.0998453i
\(690\) 7511.23 859.366i 0.414417 0.0474138i
\(691\) 19614.8 8124.74i 1.07986 0.447293i 0.229401 0.973332i \(-0.426323\pi\)
0.850460 + 0.526039i \(0.176323\pi\)
\(692\) −8556.60 11972.1i −0.470048 0.657677i
\(693\) −452.688 + 1092.89i −0.0248142 + 0.0599067i
\(694\) −6784.74 + 3765.00i −0.371102 + 0.205933i
\(695\) −2387.86 + 2387.86i −0.130326 + 0.130326i
\(696\) 29880.6 10628.6i 1.62733 0.578845i
\(697\) −4470.27 4470.27i −0.242932 0.242932i
\(698\) −7926.67 2268.91i −0.429841 0.123037i
\(699\) 36779.4 + 15234.5i 1.99016 + 0.824353i
\(700\) −4590.67 + 1064.38i −0.247873 + 0.0574709i
\(701\) −7415.56 17902.8i −0.399546 0.964590i −0.987774 0.155895i \(-0.950174\pi\)
0.588227 0.808696i \(-0.299826\pi\)
\(702\) 40113.4 50478.1i 2.15667 2.71392i
\(703\) −21300.1 −1.14274
\(704\) 971.721 290.814i 0.0520215 0.0155688i
\(705\) 332.310 0.0177525
\(706\) −4252.69 + 5351.51i −0.226702 + 0.285279i
\(707\) −6350.83 15332.3i −0.337832 0.815599i
\(708\) 22473.9 5210.73i 1.19297 0.276598i
\(709\) −4168.86 1726.80i −0.220825 0.0914686i 0.269528 0.962992i \(-0.413132\pi\)
−0.490353 + 0.871524i \(0.663132\pi\)
\(710\) −18226.5 5217.10i −0.963418 0.275767i
\(711\) −34789.6 34789.6i −1.83504 1.83504i
\(712\) 1925.42 + 5413.01i 0.101346 + 0.284918i
\(713\) 1447.62 1447.62i 0.0760362 0.0760362i
\(714\) 22885.6 12699.8i 1.19954 0.665653i
\(715\) −476.877 + 1151.28i −0.0249429 + 0.0602176i
\(716\) −8690.89 12160.0i −0.453623 0.634695i
\(717\) −53890.1 + 22322.0i −2.80692 + 1.16267i
\(718\) −33561.3 + 3839.78i −1.74443 + 0.199581i
\(719\) 13109.2i 0.679961i −0.940432 0.339981i \(-0.889580\pi\)
0.940432 0.339981i \(-0.110420\pi\)
\(720\) −20397.2 + 23142.2i −1.05578 + 1.19786i
\(721\) 2097.02i 0.108318i
\(722\) 817.036 + 7141.26i 0.0421149 + 0.368103i
\(723\) 6812.35 2821.77i 0.350420 0.145149i
\(724\) −22424.3 3730.91i −1.15109 0.191517i
\(725\) −3364.74 + 8123.21i −0.172363 + 0.416122i
\(726\) −16885.7 30428.9i −0.863205 1.55554i
\(727\) 19846.0 19846.0i 1.01245 1.01245i 0.0125242 0.999922i \(-0.496013\pi\)
0.999922 0.0125242i \(-0.00398668\pi\)
\(728\) 11816.9 + 13086.9i 0.601598 + 0.666255i
\(729\) −4290.62 4290.62i −0.217986 0.217986i
\(730\) −2329.84 + 8139.51i −0.118125 + 0.412681i
\(731\) 21345.0 + 8841.39i 1.07999 + 0.447347i
\(732\) −4639.01 2892.73i −0.234239 0.146063i
\(733\) −1724.21 4162.60i −0.0868827 0.209753i 0.874466 0.485086i \(-0.161212\pi\)
−0.961349 + 0.275333i \(0.911212\pi\)
\(734\) −3614.57 2872.39i −0.181766 0.144444i
\(735\) −18223.4 −0.914531
\(736\) −3442.47 5375.73i −0.172406 0.269228i
\(737\) 1519.49 0.0759445
\(738\) 8375.08 + 6655.43i 0.417738 + 0.331964i
\(739\) 6958.79 + 16800.0i 0.346391 + 0.836263i 0.997040 + 0.0768839i \(0.0244971\pi\)
−0.650649 + 0.759379i \(0.725503\pi\)
\(740\) 7602.83 12192.5i 0.377683 0.605683i
\(741\) 63896.5 + 26466.8i 3.16774 + 1.31212i
\(742\) −185.014 + 646.366i −0.00915377 + 0.0319796i
\(743\) −1100.04 1100.04i −0.0543157 0.0543157i 0.679427 0.733743i \(-0.262228\pi\)
−0.733743 + 0.679427i \(0.762228\pi\)
\(744\) −620.284 + 12163.2i −0.0305655 + 0.599359i
\(745\) −4787.23 + 4787.23i −0.235423 + 0.235423i
\(746\) −18642.9 33595.4i −0.914964 1.64881i
\(747\) −5736.53 + 13849.2i −0.280975 + 0.678335i
\(748\) 256.330 1540.65i 0.0125299 0.0753096i
\(749\) 9169.30 3798.05i 0.447315 0.185284i
\(750\) −4463.50 39013.0i −0.217312 1.89940i
\(751\) 22547.4i 1.09556i 0.836623 + 0.547780i \(0.184527\pi\)
−0.836623 + 0.547780i \(0.815473\pi\)
\(752\) −123.474 251.958i −0.00598754 0.0122180i
\(753\) 60619.7i 2.93374i
\(754\) 32685.7 3739.59i 1.57870 0.180621i
\(755\) 15467.2 6406.73i 0.745576 0.308828i
\(756\) −19530.5 + 13958.6i −0.939574 + 0.671523i
\(757\) 1904.46 4597.78i 0.0914383 0.220752i −0.871543 0.490318i \(-0.836880\pi\)
0.962982 + 0.269567i \(0.0868805\pi\)
\(758\) 11791.2 6543.23i 0.565010 0.313536i
\(759\) 457.991 457.991i 0.0219025 0.0219025i
\(760\) −16199.5 7698.80i −0.773181 0.367454i
\(761\) 7703.17 + 7703.17i 0.366938 + 0.366938i 0.866359 0.499421i \(-0.166454\pi\)
−0.499421 + 0.866359i \(0.666454\pi\)
\(762\) 7967.49 + 2280.60i 0.378782 + 0.108422i
\(763\) −3346.76 1386.28i −0.158796 0.0657753i
\(764\) −2980.76 12856.1i −0.141152 0.608790i
\(765\) 18177.4 + 43884.2i 0.859093 + 2.07403i
\(766\) −12838.0 + 16155.1i −0.605555 + 0.762021i
\(767\) 23931.6 1.12662
\(768\) 36631.8 + 10011.0i 1.72114 + 0.470368i
\(769\) −29833.1 −1.39897 −0.699485 0.714648i \(-0.746587\pi\)
−0.699485 + 0.714648i \(0.746587\pi\)
\(770\) 288.657 363.242i 0.0135097 0.0170004i
\(771\) −12741.4 30760.6i −0.595165 1.43685i
\(772\) 3484.81 + 15030.0i 0.162463 + 0.700703