Properties

Label 43.4.e.a.4.2
Level $43$
Weight $4$
Character 43.4
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.32023 + 2.90947i) q^{2} +(3.61377 + 4.53152i) q^{3} +(-1.30141 - 5.70184i) q^{4} +(13.3469 + 6.42753i) q^{5} -21.5691 q^{6} -12.2090 q^{7} +(-7.21369 - 3.47393i) q^{8} +(-1.46730 + 6.42866i) q^{9} +O(q^{10})\) \(q+(-2.32023 + 2.90947i) q^{2} +(3.61377 + 4.53152i) q^{3} +(-1.30141 - 5.70184i) q^{4} +(13.3469 + 6.42753i) q^{5} -21.5691 q^{6} -12.2090 q^{7} +(-7.21369 - 3.47393i) q^{8} +(-1.46730 + 6.42866i) q^{9} +(-49.6685 + 23.9191i) q^{10} +(-0.456732 + 2.00108i) q^{11} +(21.1350 - 26.5025i) q^{12} +(-8.58668 - 4.13513i) q^{13} +(28.3276 - 35.5216i) q^{14} +(19.1061 + 83.7093i) q^{15} +(68.9990 - 33.2282i) q^{16} +(66.7975 - 32.1680i) q^{17} +(-15.2995 - 19.1850i) q^{18} +(22.9418 + 100.515i) q^{19} +(19.2790 - 84.4667i) q^{20} +(-44.1203 - 55.3252i) q^{21} +(-4.76235 - 5.97180i) q^{22} +(32.7067 - 143.298i) q^{23} +(-10.3264 - 45.2429i) q^{24} +(58.8904 + 73.8462i) q^{25} +(31.9541 - 15.3883i) q^{26} +(106.561 - 51.3171i) q^{27} +(15.8888 + 69.6136i) q^{28} +(-63.7295 + 79.9142i) q^{29} +(-287.880 - 138.636i) q^{30} +(-192.150 + 240.949i) q^{31} +(-49.1638 + 215.401i) q^{32} +(-10.7184 + 5.16173i) q^{33} +(-61.3935 + 268.982i) q^{34} +(-162.952 - 78.4735i) q^{35} +38.5648 q^{36} +434.968 q^{37} +(-345.675 - 166.468i) q^{38} +(-12.2918 - 53.8541i) q^{39} +(-73.9516 - 92.7324i) q^{40} +(114.686 - 143.812i) q^{41} +263.336 q^{42} +(-177.188 - 219.343i) q^{43} +12.0042 q^{44} +(-60.9043 + 76.3716i) q^{45} +(341.033 + 427.642i) q^{46} +(-77.5868 - 339.930i) q^{47} +(399.921 + 192.592i) q^{48} -193.941 q^{49} -351.492 q^{50} +(387.160 + 186.447i) q^{51} +(-12.4031 + 54.3414i) q^{52} +(180.020 - 86.6931i) q^{53} +(-97.9402 + 429.104i) q^{54} +(-18.9579 + 23.7725i) q^{55} +(88.0717 + 42.4131i) q^{56} +(-372.578 + 467.198i) q^{57} +(-84.6414 - 370.838i) q^{58} +(141.395 - 68.0921i) q^{59} +(452.432 - 217.880i) q^{60} +(-162.877 - 204.241i) q^{61} +(-255.201 - 1118.11i) q^{62} +(17.9142 - 78.4873i) q^{63} +(-130.641 - 163.818i) q^{64} +(-88.0269 - 110.382i) q^{65} +(9.85130 - 43.1614i) q^{66} +(9.64329 + 42.2500i) q^{67} +(-270.348 - 339.005i) q^{68} +(767.551 - 369.633i) q^{69} +(606.401 - 292.027i) q^{70} +(145.706 + 638.382i) q^{71} +(32.9174 - 41.2771i) q^{72} +(-782.604 - 376.882i) q^{73} +(-1009.22 + 1265.53i) q^{74} +(-121.819 + 533.726i) q^{75} +(543.262 - 261.621i) q^{76} +(5.57623 - 24.4311i) q^{77} +(185.207 + 89.1909i) q^{78} -1354.05 q^{79} +1134.50 q^{80} +(778.038 + 374.683i) q^{81} +(152.319 + 667.353i) q^{82} +(103.976 + 130.382i) q^{83} +(-258.037 + 323.568i) q^{84} +1098.30 q^{85} +(1049.29 - 6.59766i) q^{86} -592.436 q^{87} +(10.2463 - 12.8485i) q^{88} +(-741.413 - 929.702i) q^{89} +(-80.8892 - 354.399i) q^{90} +(104.834 + 50.4856i) q^{91} -859.625 q^{92} -1786.25 q^{93} +(1169.04 + 562.978i) q^{94} +(-339.859 + 1489.02i) q^{95} +(-1153.76 + 555.621i) q^{96} +(88.5766 - 388.079i) q^{97} +(449.987 - 564.266i) q^{98} +(-12.1941 - 5.87235i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.32023 + 2.90947i −0.820324 + 1.02865i 0.178675 + 0.983908i \(0.442819\pi\)
−0.998998 + 0.0447453i \(0.985752\pi\)
\(3\) 3.61377 + 4.53152i 0.695470 + 0.872091i 0.996676 0.0814675i \(-0.0259607\pi\)
−0.301206 + 0.953559i \(0.597389\pi\)
\(4\) −1.30141 5.70184i −0.162676 0.712730i
\(5\) 13.3469 + 6.42753i 1.19378 + 0.574896i 0.921897 0.387434i \(-0.126639\pi\)
0.271886 + 0.962330i \(0.412353\pi\)
\(6\) −21.5691 −1.46759
\(7\) −12.2090 −0.659222 −0.329611 0.944117i \(-0.606918\pi\)
−0.329611 + 0.944117i \(0.606918\pi\)
\(8\) −7.21369 3.47393i −0.318803 0.153527i
\(9\) −1.46730 + 6.42866i −0.0543444 + 0.238099i
\(10\) −49.6685 + 23.9191i −1.57066 + 0.756389i
\(11\) −0.456732 + 2.00108i −0.0125191 + 0.0548497i −0.980802 0.195008i \(-0.937527\pi\)
0.968283 + 0.249858i \(0.0803839\pi\)
\(12\) 21.1350 26.5025i 0.508430 0.637551i
\(13\) −8.58668 4.13513i −0.183194 0.0882214i 0.340039 0.940411i \(-0.389560\pi\)
−0.523232 + 0.852190i \(0.675274\pi\)
\(14\) 28.3276 35.5216i 0.540776 0.678111i
\(15\) 19.1061 + 83.7093i 0.328878 + 1.44091i
\(16\) 68.9990 33.2282i 1.07811 0.519190i
\(17\) 66.7975 32.1680i 0.952987 0.458934i 0.108254 0.994123i \(-0.465474\pi\)
0.844732 + 0.535189i \(0.179760\pi\)
\(18\) −15.2995 19.1850i −0.200341 0.251219i
\(19\) 22.9418 + 100.515i 0.277011 + 1.21367i 0.901551 + 0.432673i \(0.142429\pi\)
−0.624540 + 0.780993i \(0.714713\pi\)
\(20\) 19.2790 84.4667i 0.215546 0.944367i
\(21\) −44.1203 55.3252i −0.458469 0.574902i
\(22\) −4.76235 5.97180i −0.0461516 0.0578723i
\(23\) 32.7067 143.298i 0.296514 1.29911i −0.578764 0.815495i \(-0.696465\pi\)
0.875279 0.483619i \(-0.160678\pi\)
\(24\) −10.3264 45.2429i −0.0878279 0.384799i
\(25\) 58.8904 + 73.8462i 0.471123 + 0.590770i
\(26\) 31.9541 15.3883i 0.241027 0.116073i
\(27\) 106.561 51.3171i 0.759544 0.365777i
\(28\) 15.8888 + 69.6136i 0.107240 + 0.469847i
\(29\) −63.7295 + 79.9142i −0.408078 + 0.511714i −0.942820 0.333302i \(-0.891837\pi\)
0.534742 + 0.845015i \(0.320409\pi\)
\(30\) −287.880 138.636i −1.75198 0.843711i
\(31\) −192.150 + 240.949i −1.11326 + 1.39599i −0.204404 + 0.978887i \(0.565526\pi\)
−0.908860 + 0.417102i \(0.863046\pi\)
\(32\) −49.1638 + 215.401i −0.271594 + 1.18993i
\(33\) −10.7184 + 5.16173i −0.0565406 + 0.0272285i
\(34\) −61.3935 + 268.982i −0.309673 + 1.35677i
\(35\) −162.952 78.4735i −0.786968 0.378984i
\(36\) 38.5648 0.178541
\(37\) 434.968 1.93266 0.966329 0.257312i \(-0.0828367\pi\)
0.966329 + 0.257312i \(0.0828367\pi\)
\(38\) −345.675 166.468i −1.47568 0.710650i
\(39\) −12.2918 53.8541i −0.0504685 0.221117i
\(40\) −73.9516 92.7324i −0.292319 0.366557i
\(41\) 114.686 143.812i 0.436853 0.547797i −0.513857 0.857876i \(-0.671784\pi\)
0.950711 + 0.310079i \(0.100355\pi\)
\(42\) 263.336 0.967468
\(43\) −177.188 219.343i −0.628393 0.777896i
\(44\) 12.0042 0.0411296
\(45\) −60.9043 + 76.3716i −0.201757 + 0.252996i
\(46\) 341.033 + 427.642i 1.09310 + 1.37070i
\(47\) −77.5868 339.930i −0.240791 1.05498i −0.940299 0.340351i \(-0.889454\pi\)
0.699507 0.714626i \(-0.253403\pi\)
\(48\) 399.921 + 192.592i 1.20257 + 0.579129i
\(49\) −193.941 −0.565426
\(50\) −351.492 −0.994171
\(51\) 387.160 + 186.447i 1.06301 + 0.511917i
\(52\) −12.4031 + 54.3414i −0.0330768 + 0.144919i
\(53\) 180.020 86.6931i 0.466560 0.224683i −0.185808 0.982586i \(-0.559490\pi\)
0.652367 + 0.757903i \(0.273776\pi\)
\(54\) −97.9402 + 429.104i −0.246814 + 1.08136i
\(55\) −18.9579 + 23.7725i −0.0464779 + 0.0582815i
\(56\) 88.0717 + 42.4131i 0.210162 + 0.101209i
\(57\) −372.578 + 467.198i −0.865774 + 1.08565i
\(58\) −84.6414 370.838i −0.191620 0.839542i
\(59\) 141.395 68.0921i 0.312001 0.150252i −0.271330 0.962486i \(-0.587463\pi\)
0.583331 + 0.812235i \(0.301749\pi\)
\(60\) 452.432 217.880i 0.973480 0.468803i
\(61\) −162.877 204.241i −0.341872 0.428694i 0.580939 0.813947i \(-0.302686\pi\)
−0.922811 + 0.385253i \(0.874114\pi\)
\(62\) −255.201 1118.11i −0.522752 2.29033i
\(63\) 17.9142 78.4873i 0.0358251 0.156960i
\(64\) −130.641 163.818i −0.255158 0.319958i
\(65\) −88.0269 110.382i −0.167975 0.210634i
\(66\) 9.85130 43.1614i 0.0183729 0.0804969i
\(67\) 9.64329 + 42.2500i 0.0175838 + 0.0770397i 0.982959 0.183827i \(-0.0588487\pi\)
−0.965375 + 0.260867i \(0.915992\pi\)
\(68\) −270.348 339.005i −0.482124 0.604565i
\(69\) 767.551 369.633i 1.33916 0.644907i
\(70\) 606.401 292.027i 1.03541 0.498628i
\(71\) 145.706 + 638.382i 0.243552 + 1.06707i 0.937757 + 0.347293i \(0.112899\pi\)
−0.694205 + 0.719777i \(0.744244\pi\)
\(72\) 32.9174 41.2771i 0.0538798 0.0675632i
\(73\) −782.604 376.882i −1.25475 0.604257i −0.315971 0.948769i \(-0.602330\pi\)
−0.938782 + 0.344512i \(0.888044\pi\)
\(74\) −1009.22 + 1265.53i −1.58540 + 1.98803i
\(75\) −121.819 + 533.726i −0.187553 + 0.821725i
\(76\) 543.262 261.621i 0.819953 0.394868i
\(77\) 5.57623 24.4311i 0.00825286 0.0361581i
\(78\) 185.207 + 89.1909i 0.268853 + 0.129473i
\(79\) −1354.05 −1.92838 −0.964190 0.265213i \(-0.914558\pi\)
−0.964190 + 0.265213i \(0.914558\pi\)
\(80\) 1134.50 1.58551
\(81\) 778.038 + 374.683i 1.06727 + 0.513969i
\(82\) 152.319 + 667.353i 0.205132 + 0.898742i
\(83\) 103.976 + 130.382i 0.137504 + 0.172425i 0.845816 0.533475i \(-0.179114\pi\)
−0.708312 + 0.705900i \(0.750543\pi\)
\(84\) −258.037 + 323.568i −0.335168 + 0.420287i
\(85\) 1098.30 1.40150
\(86\) 1049.29 6.59766i 1.31567 0.00827261i
\(87\) −592.436 −0.730067
\(88\) 10.2463 12.8485i 0.0124121 0.0155642i
\(89\) −741.413 929.702i −0.883029 1.10728i −0.993548 0.113410i \(-0.963823\pi\)
0.110519 0.993874i \(-0.464749\pi\)
\(90\) −80.8892 354.399i −0.0947385 0.415077i
\(91\) 104.834 + 50.4856i 0.120765 + 0.0581575i
\(92\) −859.625 −0.974153
\(93\) −1786.25 −1.99167
\(94\) 1169.04 + 562.978i 1.28273 + 0.617731i
\(95\) −339.859 + 1489.02i −0.367040 + 1.60811i
\(96\) −1153.76 + 555.621i −1.22662 + 0.590707i
\(97\) 88.5766 388.079i 0.0927174 0.406221i −0.907177 0.420749i \(-0.861767\pi\)
0.999894 + 0.0145276i \(0.00462444\pi\)
\(98\) 449.987 564.266i 0.463833 0.581628i
\(99\) −12.1941 5.87235i −0.0123793 0.00596155i
\(100\) 344.419 431.888i 0.344419 0.431888i
\(101\) −131.921 577.982i −0.129966 0.569420i −0.997413 0.0718889i \(-0.977097\pi\)
0.867446 0.497531i \(-0.165760\pi\)
\(102\) −1440.76 + 693.834i −1.39859 + 0.673527i
\(103\) −580.377 + 279.495i −0.555206 + 0.267373i −0.690378 0.723449i \(-0.742556\pi\)
0.135172 + 0.990822i \(0.456841\pi\)
\(104\) 47.5765 + 59.6590i 0.0448583 + 0.0562505i
\(105\) −233.266 1022.00i −0.216804 0.949880i
\(106\) −165.456 + 724.911i −0.151609 + 0.664241i
\(107\) 134.091 + 168.144i 0.121150 + 0.151917i 0.838708 0.544582i \(-0.183312\pi\)
−0.717558 + 0.696499i \(0.754740\pi\)
\(108\) −431.282 540.810i −0.384260 0.481847i
\(109\) 333.055 1459.21i 0.292669 1.28227i −0.588127 0.808769i \(-0.700134\pi\)
0.880796 0.473497i \(-0.157008\pi\)
\(110\) −25.1787 110.315i −0.0218245 0.0956194i
\(111\) 1571.87 + 1971.07i 1.34410 + 1.68545i
\(112\) −842.407 + 405.682i −0.710714 + 0.342262i
\(113\) 393.620 189.558i 0.327688 0.157806i −0.262805 0.964849i \(-0.584648\pi\)
0.590493 + 0.807043i \(0.298933\pi\)
\(114\) −494.834 2168.01i −0.406539 1.78116i
\(115\) 1357.58 1702.36i 1.10083 1.38040i
\(116\) 538.596 + 259.374i 0.431098 + 0.207606i
\(117\) 39.1826 49.1334i 0.0309609 0.0388238i
\(118\) −129.956 + 569.373i −0.101385 + 0.444195i
\(119\) −815.528 + 392.738i −0.628230 + 0.302540i
\(120\) 152.975 670.226i 0.116372 0.509858i
\(121\) 1195.39 + 575.671i 0.898117 + 0.432510i
\(122\) 972.143 0.721424
\(123\) 1066.14 0.781547
\(124\) 1623.92 + 782.037i 1.17606 + 0.566363i
\(125\) −100.696 441.178i −0.0720522 0.315681i
\(126\) 186.791 + 234.229i 0.132069 + 0.165609i
\(127\) −970.572 + 1217.06i −0.678144 + 0.850366i −0.995182 0.0980468i \(-0.968741\pi\)
0.317037 + 0.948413i \(0.397312\pi\)
\(128\) −987.780 −0.682096
\(129\) 353.642 1595.59i 0.241368 1.08902i
\(130\) 525.396 0.354464
\(131\) −173.437 + 217.483i −0.115674 + 0.145051i −0.836297 0.548276i \(-0.815284\pi\)
0.720623 + 0.693327i \(0.243856\pi\)
\(132\) 43.3804 + 54.3973i 0.0286044 + 0.0358688i
\(133\) −280.096 1227.18i −0.182612 0.800075i
\(134\) −145.300 69.9727i −0.0936716 0.0451099i
\(135\) 1752.10 1.11701
\(136\) −593.606 −0.374274
\(137\) 1595.33 + 768.268i 0.994875 + 0.479106i 0.859196 0.511647i \(-0.170964\pi\)
0.135679 + 0.990753i \(0.456679\pi\)
\(138\) −705.455 + 3090.80i −0.435161 + 1.90657i
\(139\) 921.701 443.868i 0.562429 0.270851i −0.130993 0.991383i \(-0.541817\pi\)
0.693422 + 0.720532i \(0.256102\pi\)
\(140\) −235.376 + 1031.25i −0.142092 + 0.622547i
\(141\) 1260.02 1580.01i 0.752573 0.943696i
\(142\) −2195.43 1057.26i −1.29744 0.624813i
\(143\) 12.1965 15.2939i 0.00713233 0.00894366i
\(144\) 112.370 + 492.327i 0.0650292 + 0.284911i
\(145\) −1364.24 + 656.984i −0.781339 + 0.376273i
\(146\) 2912.35 1402.51i 1.65087 0.795019i
\(147\) −700.858 878.848i −0.393237 0.493103i
\(148\) −566.071 2480.12i −0.314397 1.37746i
\(149\) −495.013 + 2168.79i −0.272168 + 1.19245i 0.635280 + 0.772282i \(0.280885\pi\)
−0.907448 + 0.420164i \(0.861973\pi\)
\(150\) −1270.21 1592.80i −0.691416 0.867008i
\(151\) −469.748 589.045i −0.253162 0.317456i 0.638968 0.769233i \(-0.279362\pi\)
−0.892131 + 0.451778i \(0.850790\pi\)
\(152\) 183.686 804.780i 0.0980189 0.429449i
\(153\) 108.785 + 476.619i 0.0574820 + 0.251845i
\(154\) 58.1433 + 72.9094i 0.0304242 + 0.0381507i
\(155\) −4113.31 + 1980.87i −2.13154 + 1.02650i
\(156\) −291.071 + 140.172i −0.149387 + 0.0719408i
\(157\) −66.2721 290.357i −0.0336885 0.147599i 0.955286 0.295682i \(-0.0955468\pi\)
−0.988975 + 0.148083i \(0.952690\pi\)
\(158\) 3141.69 3939.56i 1.58190 1.98363i
\(159\) 1043.40 + 502.476i 0.520422 + 0.250622i
\(160\) −2040.68 + 2558.93i −1.00831 + 1.26438i
\(161\) −399.315 + 1749.52i −0.195469 + 0.856404i
\(162\) −2895.35 + 1394.33i −1.40420 + 0.676227i
\(163\) −666.080 + 2918.29i −0.320070 + 1.40232i 0.517357 + 0.855770i \(0.326916\pi\)
−0.837427 + 0.546549i \(0.815941\pi\)
\(164\) −969.247 466.765i −0.461497 0.222245i
\(165\) −176.235 −0.0831508
\(166\) −620.589 −0.290163
\(167\) 270.467 + 130.250i 0.125325 + 0.0603536i 0.495496 0.868610i \(-0.334986\pi\)
−0.370170 + 0.928964i \(0.620701\pi\)
\(168\) 126.075 + 552.369i 0.0578981 + 0.253668i
\(169\) −1313.18 1646.67i −0.597713 0.749508i
\(170\) −2548.30 + 3195.47i −1.14968 + 1.44166i
\(171\) −679.837 −0.304026
\(172\) −1020.07 + 1295.75i −0.452205 + 0.574420i
\(173\) −1441.64 −0.633559 −0.316780 0.948499i \(-0.602602\pi\)
−0.316780 + 0.948499i \(0.602602\pi\)
\(174\) 1374.59 1723.68i 0.598891 0.750986i
\(175\) −718.991 901.586i −0.310575 0.389448i
\(176\) 34.9780 + 153.249i 0.0149805 + 0.0656338i
\(177\) 819.529 + 394.664i 0.348020 + 0.167598i
\(178\) 4425.19 1.86338
\(179\) 4500.30 1.87915 0.939576 0.342340i \(-0.111219\pi\)
0.939576 + 0.342340i \(0.111219\pi\)
\(180\) 514.720 + 247.876i 0.213139 + 0.102642i
\(181\) −707.636 + 3100.36i −0.290598 + 1.27319i 0.593098 + 0.805130i \(0.297905\pi\)
−0.883696 + 0.468062i \(0.844952\pi\)
\(182\) −390.126 + 187.875i −0.158891 + 0.0765176i
\(183\) 336.923 1476.16i 0.136099 0.596288i
\(184\) −733.742 + 920.083i −0.293979 + 0.368638i
\(185\) 5805.47 + 2795.77i 2.30717 + 1.11108i
\(186\) 4144.50 5197.04i 1.63382 2.04874i
\(187\) 33.8620 + 148.359i 0.0132419 + 0.0580165i
\(188\) −1837.25 + 884.775i −0.712742 + 0.343239i
\(189\) −1301.00 + 626.529i −0.500708 + 0.241128i
\(190\) −3543.71 4443.67i −1.35309 1.69672i
\(191\) −813.190 3562.82i −0.308065 1.34972i −0.857629 0.514268i \(-0.828064\pi\)
0.549565 0.835451i \(-0.314794\pi\)
\(192\) 270.241 1184.00i 0.101578 0.445042i
\(193\) 1408.47 + 1766.16i 0.525304 + 0.658710i 0.971726 0.236112i \(-0.0758733\pi\)
−0.446422 + 0.894823i \(0.647302\pi\)
\(194\) 923.588 + 1158.14i 0.341803 + 0.428607i
\(195\) 182.091 797.791i 0.0668707 0.292980i
\(196\) 252.397 + 1105.82i 0.0919813 + 0.402996i
\(197\) 218.286 + 273.721i 0.0789452 + 0.0989942i 0.819736 0.572742i \(-0.194120\pi\)
−0.740790 + 0.671736i \(0.765549\pi\)
\(198\) 45.3784 21.8531i 0.0162874 0.00784360i
\(199\) −3228.65 + 1554.83i −1.15011 + 0.553866i −0.909068 0.416648i \(-0.863205\pi\)
−0.241046 + 0.970514i \(0.577490\pi\)
\(200\) −168.280 737.284i −0.0594961 0.260669i
\(201\) −156.608 + 196.380i −0.0549567 + 0.0689135i
\(202\) 1987.71 + 957.230i 0.692350 + 0.333418i
\(203\) 778.071 975.670i 0.269014 0.337333i
\(204\) 559.235 2450.17i 0.191933 0.840913i
\(205\) 2455.06 1182.30i 0.836434 0.402806i
\(206\) 533.424 2337.08i 0.180415 0.790448i
\(207\) 873.221 + 420.521i 0.293203 + 0.141199i
\(208\) −729.875 −0.243307
\(209\) −211.616 −0.0700371
\(210\) 3514.72 + 1692.60i 1.15495 + 0.556193i
\(211\) −145.390 636.996i −0.0474364 0.207832i 0.945656 0.325169i \(-0.105421\pi\)
−0.993092 + 0.117337i \(0.962564\pi\)
\(212\) −728.590 913.623i −0.236037 0.295981i
\(213\) −2366.29 + 2967.24i −0.761200 + 0.954515i
\(214\) −800.332 −0.255652
\(215\) −955.076 4066.43i −0.302956 1.28990i
\(216\) −946.971 −0.298302
\(217\) 2345.95 2941.73i 0.733888 0.920267i
\(218\) 3472.77 + 4354.71i 1.07892 + 1.35293i
\(219\) −1120.30 4908.35i −0.345675 1.51450i
\(220\) 160.219 + 77.1574i 0.0490998 + 0.0236452i
\(221\) −706.588 −0.215069
\(222\) −9381.86 −2.83635
\(223\) −273.947 131.926i −0.0822639 0.0396162i 0.392299 0.919838i \(-0.371680\pi\)
−0.474563 + 0.880221i \(0.657394\pi\)
\(224\) 600.239 2629.82i 0.179041 0.784430i
\(225\) −561.142 + 270.232i −0.166264 + 0.0800687i
\(226\) −361.776 + 1585.04i −0.106482 + 0.466529i
\(227\) −817.299 + 1024.86i −0.238969 + 0.299658i −0.886825 0.462105i \(-0.847094\pi\)
0.647856 + 0.761763i \(0.275666\pi\)
\(228\) 3148.76 + 1516.36i 0.914614 + 0.440455i
\(229\) −2986.87 + 3745.41i −0.861912 + 1.08080i 0.134046 + 0.990975i \(0.457203\pi\)
−0.995957 + 0.0898278i \(0.971368\pi\)
\(230\) 1803.05 + 7899.70i 0.516913 + 2.26474i
\(231\) 130.861 63.0193i 0.0372728 0.0179496i
\(232\) 737.341 355.085i 0.208659 0.100485i
\(233\) 233.278 + 292.521i 0.0655903 + 0.0822476i 0.813544 0.581503i \(-0.197535\pi\)
−0.747954 + 0.663751i \(0.768964\pi\)
\(234\) 52.0398 + 228.001i 0.0145382 + 0.0636962i
\(235\) 1149.37 5035.70i 0.319048 1.39784i
\(236\) −572.263 717.595i −0.157844 0.197930i
\(237\) −4893.20 6135.88i −1.34113 1.68172i
\(238\) 749.551 3284.00i 0.204144 0.894411i
\(239\) 911.572 + 3993.86i 0.246714 + 1.08093i 0.934766 + 0.355264i \(0.115609\pi\)
−0.688052 + 0.725662i \(0.741534\pi\)
\(240\) 4099.81 + 5141.00i 1.10267 + 1.38271i
\(241\) 5636.17 2714.24i 1.50646 0.725475i 0.515163 0.857092i \(-0.327731\pi\)
0.991301 + 0.131618i \(0.0420171\pi\)
\(242\) −4448.48 + 2142.28i −1.18165 + 0.569053i
\(243\) 403.165 + 1766.38i 0.106432 + 0.466311i
\(244\) −952.580 + 1194.50i −0.249929 + 0.313401i
\(245\) −2588.51 1246.56i −0.674996 0.325061i
\(246\) −2473.68 + 3101.90i −0.641122 + 0.803941i
\(247\) 218.647 957.955i 0.0563246 0.246774i
\(248\) 2223.15 1070.61i 0.569234 0.274129i
\(249\) −215.082 + 942.338i −0.0547401 + 0.239832i
\(250\) 1517.23 + 730.661i 0.383833 + 0.184844i
\(251\) −404.137 −0.101629 −0.0508146 0.998708i \(-0.516182\pi\)
−0.0508146 + 0.998708i \(0.516182\pi\)
\(252\) −470.836 −0.117698
\(253\) 271.811 + 130.897i 0.0675439 + 0.0325274i
\(254\) −1289.05 5647.70i −0.318434 1.39515i
\(255\) 3969.00 + 4976.97i 0.974700 + 1.22223i
\(256\) 3337.00 4184.47i 0.814698 1.02160i
\(257\) −2899.07 −0.703655 −0.351827 0.936065i \(-0.614440\pi\)
−0.351827 + 0.936065i \(0.614440\pi\)
\(258\) 3821.78 + 4731.03i 0.922224 + 1.14163i
\(259\) −5310.51 −1.27405
\(260\) −514.823 + 645.568i −0.122800 + 0.153986i
\(261\) −420.231 526.953i −0.0996615 0.124972i
\(262\) −230.348 1009.22i −0.0543166 0.237977i
\(263\) −5275.61 2540.60i −1.23691 0.595666i −0.302940 0.953010i \(-0.597968\pi\)
−0.933973 + 0.357344i \(0.883682\pi\)
\(264\) 95.2509 0.0222056
\(265\) 2959.93 0.686140
\(266\) 4220.33 + 2032.40i 0.972801 + 0.468476i
\(267\) 1533.67 6719.45i 0.351532 1.54016i
\(268\) 228.353 109.969i 0.0520481 0.0250650i
\(269\) −1474.19 + 6458.85i −0.334137 + 1.46395i 0.476900 + 0.878957i \(0.341760\pi\)
−0.811038 + 0.584994i \(0.801097\pi\)
\(270\) −4065.27 + 5097.69i −0.916314 + 1.14902i
\(271\) 3502.81 + 1686.86i 0.785168 + 0.378117i 0.783112 0.621881i \(-0.213631\pi\)
0.00205593 + 0.999998i \(0.499346\pi\)
\(272\) 3540.08 4439.12i 0.789150 0.989563i
\(273\) 150.071 + 657.503i 0.0332699 + 0.145765i
\(274\) −5936.77 + 2859.00i −1.30895 + 0.630359i
\(275\) −174.669 + 84.1161i −0.0383016 + 0.0184451i
\(276\) −3106.48 3895.41i −0.677494 0.849551i
\(277\) −282.408 1237.31i −0.0612571 0.268385i 0.935020 0.354595i \(-0.115381\pi\)
−0.996277 + 0.0862104i \(0.972524\pi\)
\(278\) −847.134 + 3711.53i −0.182761 + 0.800730i
\(279\) −1267.04 1588.81i −0.271883 0.340931i
\(280\) 902.872 + 1132.17i 0.192703 + 0.241642i
\(281\) 287.652 1260.29i 0.0610672 0.267553i −0.935173 0.354193i \(-0.884756\pi\)
0.996240 + 0.0866396i \(0.0276129\pi\)
\(282\) 1673.48 + 7331.98i 0.353383 + 1.54827i
\(283\) −182.029 228.258i −0.0382351 0.0479453i 0.762346 0.647169i \(-0.224047\pi\)
−0.800581 + 0.599224i \(0.795476\pi\)
\(284\) 3450.33 1661.59i 0.720913 0.347173i
\(285\) −7975.69 + 3840.89i −1.65768 + 0.798297i
\(286\) 16.1986 + 70.9708i 0.00334911 + 0.0146734i
\(287\) −1400.20 + 1755.80i −0.287983 + 0.361120i
\(288\) −1312.60 632.115i −0.268562 0.129332i
\(289\) 363.922 456.344i 0.0740733 0.0928850i
\(290\) 1253.87 5493.57i 0.253896 1.11239i
\(291\) 2078.68 1001.04i 0.418744 0.201657i
\(292\) −1130.44 + 4952.76i −0.226554 + 0.992598i
\(293\) −4198.35 2021.82i −0.837100 0.403126i −0.0343267 0.999411i \(-0.510929\pi\)
−0.802773 + 0.596285i \(0.796643\pi\)
\(294\) 4183.13 0.829814
\(295\) 2324.85 0.458840
\(296\) −3137.72 1511.05i −0.616137 0.296716i
\(297\) 54.0195 + 236.675i 0.0105540 + 0.0462400i
\(298\) −5161.50 6472.31i −1.00335 1.25816i
\(299\) −873.396 + 1095.20i −0.168929 + 0.211830i
\(300\) 3201.76 0.616178
\(301\) 2163.28 + 2677.95i 0.414251 + 0.512806i
\(302\) 2803.73 0.534227
\(303\) 2142.41 2686.49i 0.406198 0.509357i
\(304\) 4922.88 + 6173.10i 0.928772 + 1.16464i
\(305\) −861.134 3772.88i −0.161667 0.708309i
\(306\) −1639.11 789.356i −0.306215 0.147466i
\(307\) 4104.01 0.762959 0.381479 0.924377i \(-0.375415\pi\)
0.381479 + 0.924377i \(0.375415\pi\)
\(308\) −146.559 −0.0271135
\(309\) −3363.88 1619.96i −0.619303 0.298241i
\(310\) 3780.54 16563.6i 0.692646 3.03468i
\(311\) −4819.98 + 2321.18i −0.878829 + 0.423222i −0.818197 0.574939i \(-0.805026\pi\)
−0.0606321 + 0.998160i \(0.519312\pi\)
\(312\) −98.4158 + 431.188i −0.0178580 + 0.0782410i
\(313\) −1255.26 + 1574.04i −0.226681 + 0.284250i −0.882146 0.470977i \(-0.843902\pi\)
0.655464 + 0.755226i \(0.272473\pi\)
\(314\) 998.551 + 480.877i 0.179463 + 0.0864250i
\(315\) 743.578 932.418i 0.133003 0.166780i
\(316\) 1762.17 + 7720.55i 0.313701 + 1.37441i
\(317\) 3844.43 1851.38i 0.681150 0.328025i −0.0611153 0.998131i \(-0.519466\pi\)
0.742265 + 0.670106i \(0.233751\pi\)
\(318\) −3882.87 + 1869.89i −0.684718 + 0.329743i
\(319\) −130.807 164.027i −0.0229586 0.0287892i
\(320\) −690.703 3026.17i −0.120661 0.528650i
\(321\) −277.377 + 1215.27i −0.0482296 + 0.211308i
\(322\) −4163.66 5221.07i −0.720596 0.903599i
\(323\) 4765.81 + 5976.14i 0.820981 + 1.02948i
\(324\) 1123.84 4923.86i 0.192702 0.844284i
\(325\) −200.309 877.613i −0.0341882 0.149788i
\(326\) −6945.22 8709.03i −1.17994 1.47960i
\(327\) 7816.02 3764.00i 1.32180 0.636543i
\(328\) −1326.90 + 639.003i −0.223372 + 0.107570i
\(329\) 947.254 + 4150.19i 0.158735 + 0.695464i
\(330\) 408.905 512.751i 0.0682106 0.0855333i
\(331\) −734.705 353.815i −0.122003 0.0587536i 0.371887 0.928278i \(-0.378711\pi\)
−0.493890 + 0.869525i \(0.664425\pi\)
\(332\) 608.100 762.534i 0.100524 0.126053i
\(333\) −638.229 + 2796.26i −0.105029 + 0.460163i
\(334\) −1006.50 + 484.706i −0.164890 + 0.0794070i
\(335\) −142.855 + 625.889i −0.0232985 + 0.102078i
\(336\) −4882.62 2351.34i −0.792763 0.381775i
\(337\) 8384.84 1.35534 0.677672 0.735364i \(-0.262989\pi\)
0.677672 + 0.735364i \(0.262989\pi\)
\(338\) 7837.80 1.26130
\(339\) 2281.44 + 1098.68i 0.365518 + 0.176024i
\(340\) −1429.34 6262.33i −0.227990 0.998890i
\(341\) −394.395 494.556i −0.0626325 0.0785387i
\(342\) 1577.38 1977.97i 0.249400 0.312737i
\(343\) 6555.50 1.03196
\(344\) 516.196 + 2197.81i 0.0809053 + 0.344471i
\(345\) 12620.2 1.96942
\(346\) 3344.93 4194.40i 0.519724 0.651713i
\(347\) 4755.65 + 5963.40i 0.735726 + 0.922571i 0.999113 0.0421193i \(-0.0134110\pi\)
−0.263387 + 0.964690i \(0.584840\pi\)
\(348\) 771.001 + 3377.98i 0.118764 + 0.520341i
\(349\) 1375.10 + 662.215i 0.210910 + 0.101569i 0.536356 0.843992i \(-0.319800\pi\)
−0.325446 + 0.945560i \(0.605515\pi\)
\(350\) 4291.36 0.655379
\(351\) −1127.21 −0.171413
\(352\) −408.578 196.761i −0.0618673 0.0297937i
\(353\) −2501.08 + 10957.9i −0.377107 + 1.65222i 0.329163 + 0.944273i \(0.393234\pi\)
−0.706270 + 0.707942i \(0.749624\pi\)
\(354\) −3049.76 + 1468.69i −0.457889 + 0.220508i
\(355\) −2158.49 + 9456.95i −0.322706 + 1.41387i
\(356\) −4336.13 + 5437.34i −0.645547 + 0.809490i
\(357\) −4726.83 2276.32i −0.700757 0.337467i
\(358\) −10441.7 + 13093.5i −1.54151 + 1.93300i
\(359\) −873.046 3825.06i −0.128350 0.562338i −0.997678 0.0681028i \(-0.978305\pi\)
0.869328 0.494235i \(-0.164552\pi\)
\(360\) 704.654 339.343i 0.103163 0.0496805i
\(361\) −3397.13 + 1635.97i −0.495280 + 0.238514i
\(362\) −7378.53 9252.38i −1.07129 1.34335i
\(363\) 1711.21 + 7497.29i 0.247425 + 1.08404i
\(364\) 151.429 663.452i 0.0218050 0.0955339i
\(365\) −8022.92 10060.4i −1.15052 1.44270i
\(366\) 3513.10 + 4405.29i 0.501729 + 0.629148i
\(367\) −434.716 + 1904.61i −0.0618310 + 0.270899i −0.996388 0.0849132i \(-0.972939\pi\)
0.934557 + 0.355813i \(0.115796\pi\)
\(368\) −2504.79 10974.2i −0.354812 1.55453i
\(369\) 756.240 + 948.295i 0.106689 + 0.133784i
\(370\) −21604.2 + 10404.0i −3.03554 + 1.46184i
\(371\) −2197.86 + 1058.43i −0.307566 + 0.148116i
\(372\) 2324.64 + 10184.9i 0.323997 + 1.41952i
\(373\) −1801.29 + 2258.75i −0.250047 + 0.313548i −0.890975 0.454052i \(-0.849978\pi\)
0.640929 + 0.767600i \(0.278549\pi\)
\(374\) −510.214 245.706i −0.0705415 0.0339710i
\(375\) 1635.32 2050.62i 0.225193 0.282383i
\(376\) −621.206 + 2721.68i −0.0852027 + 0.373298i
\(377\) 877.680 422.668i 0.119901 0.0577415i
\(378\) 1195.75 5238.91i 0.162705 0.712859i
\(379\) −1984.04 955.464i −0.268901 0.129496i 0.294575 0.955628i \(-0.404822\pi\)
−0.563476 + 0.826133i \(0.690536\pi\)
\(380\) 8932.44 1.20585
\(381\) −9022.55 −1.21323
\(382\) 12252.7 + 5900.59i 1.64111 + 0.790315i
\(383\) −3017.27 13219.5i −0.402547 1.76367i −0.617024 0.786945i \(-0.711662\pi\)
0.214477 0.976729i \(-0.431195\pi\)
\(384\) −3569.61 4476.15i −0.474377 0.594850i
\(385\) 231.457 290.237i 0.0306393 0.0384204i
\(386\) −8406.56 −1.10850
\(387\) 1670.07 817.239i 0.219366 0.107345i
\(388\) −2328.04 −0.304609
\(389\) 4156.14 5211.63i 0.541709 0.679281i −0.433351 0.901225i \(-0.642669\pi\)
0.975059 + 0.221944i \(0.0712403\pi\)
\(390\) 1898.66 + 2380.84i 0.246519 + 0.309125i
\(391\) −2424.87 10624.0i −0.313634 1.37412i
\(392\) 1399.03 + 673.738i 0.180260 + 0.0868084i
\(393\) −1612.29 −0.206945
\(394\) −1302.86 −0.166591
\(395\) −18072.3 8703.16i −2.30207 1.10862i
\(396\) −17.6138 + 77.1710i −0.00223516 + 0.00979290i
\(397\) −2666.65 + 1284.19i −0.337117 + 0.162347i −0.594781 0.803887i \(-0.702761\pi\)
0.257664 + 0.966234i \(0.417047\pi\)
\(398\) 2967.44 13001.2i 0.373730 1.63742i
\(399\) 4548.79 5704.00i 0.570738 0.715682i
\(400\) 6517.15 + 3138.50i 0.814644 + 0.392312i
\(401\) 322.281 404.127i 0.0401345 0.0503271i −0.761359 0.648330i \(-0.775468\pi\)
0.801494 + 0.598003i \(0.204039\pi\)
\(402\) −207.997 911.294i −0.0258058 0.113063i
\(403\) 2646.28 1274.38i 0.327099 0.157523i
\(404\) −3123.88 + 1504.38i −0.384700 + 0.185262i
\(405\) 7976.11 + 10001.7i 0.978607 + 1.22713i
\(406\) 1033.38 + 4527.55i 0.126320 + 0.553445i
\(407\) −198.664 + 870.404i −0.0241951 + 0.106006i
\(408\) −2145.15 2689.94i −0.260296 0.326401i
\(409\) 6808.45 + 8537.53i 0.823120 + 1.03216i 0.998861 + 0.0477236i \(0.0151967\pi\)
−0.175740 + 0.984437i \(0.556232\pi\)
\(410\) −2256.44 + 9886.13i −0.271800 + 1.19083i
\(411\) 2283.71 + 10005.6i 0.274081 + 1.20083i
\(412\) 2348.94 + 2945.48i 0.280884 + 0.352217i
\(413\) −1726.28 + 831.334i −0.205678 + 0.0990491i
\(414\) −3249.56 + 1564.91i −0.385767 + 0.185775i
\(415\) 549.724 + 2408.50i 0.0650238 + 0.284888i
\(416\) 1312.86 1646.28i 0.154732 0.194028i
\(417\) 5342.21 + 2572.67i 0.627360 + 0.302120i
\(418\) 490.996 615.690i 0.0574531 0.0720439i
\(419\) 2147.13 9407.21i 0.250345 1.09683i −0.680883 0.732392i \(-0.738404\pi\)
0.931227 0.364439i \(-0.118739\pi\)
\(420\) −5523.73 + 2660.09i −0.641739 + 0.309045i
\(421\) −3284.05 + 14388.3i −0.380177 + 1.66566i 0.316739 + 0.948513i \(0.397412\pi\)
−0.696917 + 0.717152i \(0.745445\pi\)
\(422\) 2190.66 + 1054.97i 0.252701 + 0.121694i
\(423\) 2299.14 0.264274
\(424\) −1599.77 −0.183236
\(425\) 6309.21 + 3038.36i 0.720098 + 0.346781i
\(426\) −3142.76 13769.3i −0.357434 1.56602i
\(427\) 1988.55 + 2493.57i 0.225370 + 0.282605i
\(428\) 784.226 983.388i 0.0885677 0.111060i
\(429\) 113.380 0.0127600
\(430\) 14047.2 + 6656.28i 1.57538 + 0.746498i
\(431\) 11145.4 1.24560 0.622799 0.782382i \(-0.285995\pi\)
0.622799 + 0.782382i \(0.285995\pi\)
\(432\) 5647.44 7081.66i 0.628964 0.788696i
\(433\) −9173.53 11503.2i −1.01813 1.27670i −0.960476 0.278362i \(-0.910209\pi\)
−0.0576566 0.998336i \(-0.518363\pi\)
\(434\) 3115.75 + 13651.0i 0.344610 + 1.50983i
\(435\) −7907.19 3807.90i −0.871542 0.419712i
\(436\) −8753.62 −0.961519
\(437\) 15153.9 1.65883
\(438\) 16880.1 + 8129.01i 1.84146 + 0.886802i
\(439\) 1563.00 6847.96i 0.169927 0.744500i −0.816099 0.577912i \(-0.803868\pi\)
0.986027 0.166588i \(-0.0532751\pi\)
\(440\) 219.340 105.629i 0.0237651 0.0114447i
\(441\) 284.570 1246.78i 0.0307278 0.134627i
\(442\) 1639.44 2055.80i 0.176426 0.221231i
\(443\) −5421.87 2611.04i −0.581492 0.280032i 0.119925 0.992783i \(-0.461735\pi\)
−0.701417 + 0.712751i \(0.747449\pi\)
\(444\) 9193.06 11527.7i 0.982620 1.23217i
\(445\) −3919.87 17174.1i −0.417573 1.82951i
\(446\) 1019.45 490.943i 0.108234 0.0521229i
\(447\) −11616.8 + 5594.35i −1.22921 + 0.591954i
\(448\) 1594.99 + 2000.05i 0.168206 + 0.210923i
\(449\) 2528.78 + 11079.3i 0.265792 + 1.16451i 0.914857 + 0.403778i \(0.132303\pi\)
−0.649065 + 0.760733i \(0.724840\pi\)
\(450\) 515.745 2259.63i 0.0540276 0.236711i
\(451\) 235.398 + 295.180i 0.0245775 + 0.0308192i
\(452\) −1593.09 1997.67i −0.165780 0.207882i
\(453\) 971.710 4257.34i 0.100784 0.441562i
\(454\) −1085.48 4755.81i −0.112212 0.491633i
\(455\) 1074.72 + 1347.65i 0.110733 + 0.138855i
\(456\) 4310.67 2075.91i 0.442688 0.213187i
\(457\) 8198.95 3948.41i 0.839236 0.404155i 0.0356652 0.999364i \(-0.488645\pi\)
0.803571 + 0.595209i \(0.202931\pi\)
\(458\) −3966.97 17380.4i −0.404725 1.77322i
\(459\) 5467.25 6855.71i 0.555968 0.697162i
\(460\) −11473.3 5525.26i −1.16293 0.560036i
\(461\) −3367.87 + 4223.17i −0.340254 + 0.426665i −0.922290 0.386498i \(-0.873685\pi\)
0.582036 + 0.813163i \(0.302256\pi\)
\(462\) −120.274 + 526.955i −0.0121118 + 0.0530653i
\(463\) 10327.5 4973.46i 1.03663 0.499214i 0.163418 0.986557i \(-0.447748\pi\)
0.873211 + 0.487343i \(0.162034\pi\)
\(464\) −1741.87 + 7631.62i −0.174276 + 0.763554i
\(465\) −23840.9 11481.2i −2.37762 1.14500i
\(466\) −1392.34 −0.138410
\(467\) −5843.46 −0.579022 −0.289511 0.957175i \(-0.593493\pi\)
−0.289511 + 0.957175i \(0.593493\pi\)
\(468\) −331.143 159.470i −0.0327075 0.0157511i
\(469\) −117.735 515.829i −0.0115916 0.0507863i
\(470\) 11984.4 + 15028.0i 1.17617 + 1.47487i
\(471\) 1076.27 1349.60i 0.105290 0.132030i
\(472\) −1256.53 −0.122534
\(473\) 519.850 254.385i 0.0505343 0.0247286i
\(474\) 29205.5 2.83007
\(475\) −6071.57 + 7613.51i −0.586490 + 0.735436i
\(476\) 3300.66 + 4138.90i 0.317827 + 0.398542i
\(477\) 293.177 + 1284.49i 0.0281418 + 0.123297i
\(478\) −13735.1 6614.46i −1.31428 0.632926i
\(479\) −7333.33 −0.699516 −0.349758 0.936840i \(-0.613736\pi\)
−0.349758 + 0.936840i \(0.613736\pi\)
\(480\) −18970.4 −1.80391
\(481\) −3734.93 1798.65i −0.354050 0.170502i
\(482\) −5180.20 + 22695.9i −0.489526 + 2.14475i
\(483\) −9371.00 + 4512.83i −0.882806 + 0.425137i
\(484\) 1726.69 7565.13i 0.162161 0.710474i
\(485\) 3676.61 4610.33i 0.344219 0.431637i
\(486\) −6074.67 2925.41i −0.566981 0.273044i
\(487\) −6171.60 + 7738.94i −0.574254 + 0.720092i −0.981121 0.193395i \(-0.938050\pi\)
0.406867 + 0.913488i \(0.366621\pi\)
\(488\) 465.423 + 2039.15i 0.0431736 + 0.189156i
\(489\) −15631.3 + 7527.66i −1.44555 + 0.696140i
\(490\) 9632.78 4638.90i 0.888091 0.427682i
\(491\) 1164.28 + 1459.96i 0.107013 + 0.134190i 0.832454 0.554095i \(-0.186935\pi\)
−0.725441 + 0.688285i \(0.758364\pi\)
\(492\) −1387.48 6078.94i −0.127139 0.557032i
\(493\) −1686.29 + 7388.12i −0.154050 + 0.674937i
\(494\) 2279.83 + 2858.82i 0.207641 + 0.260373i
\(495\) −125.008 156.755i −0.0113509 0.0142336i
\(496\) −5251.89 + 23010.0i −0.475437 + 2.08302i
\(497\) −1778.93 7793.98i −0.160555 0.703436i
\(498\) −2242.66 2812.21i −0.201800 0.253049i
\(499\) 7588.00 3654.19i 0.680733 0.327824i −0.0613648 0.998115i \(-0.519545\pi\)
0.742098 + 0.670292i \(0.233831\pi\)
\(500\) −2384.48 + 1148.31i −0.213274 + 0.102708i
\(501\) 387.174 + 1696.32i 0.0345262 + 0.151269i
\(502\) 937.690 1175.83i 0.0833688 0.104541i
\(503\) 12243.2 + 5896.01i 1.08528 + 0.522644i 0.889002 0.457904i \(-0.151400\pi\)
0.196280 + 0.980548i \(0.437114\pi\)
\(504\) −401.887 + 503.950i −0.0355188 + 0.0445391i
\(505\) 1954.27 8562.20i 0.172205 0.754481i
\(506\) −1011.51 + 487.115i −0.0888674 + 0.0427963i
\(507\) 2716.41 11901.4i 0.237949 1.04252i
\(508\) 8202.59 + 3950.16i 0.716399 + 0.345000i
\(509\) −1287.12 −0.112084 −0.0560420 0.998428i \(-0.517848\pi\)
−0.0560420 + 0.998428i \(0.517848\pi\)
\(510\) −23689.3 −2.05683
\(511\) 9554.79 + 4601.34i 0.827160 + 0.398339i
\(512\) 2673.58 + 11713.7i 0.230774 + 1.01109i
\(513\) 7602.83 + 9533.65i 0.654334 + 0.820508i
\(514\) 6726.51 8434.77i 0.577225 0.723817i
\(515\) −9542.70 −0.816508
\(516\) −9558.01 + 60.0984i −0.815442 + 0.00512729i
\(517\) 715.662 0.0608796
\(518\) 12321.6 15450.8i 1.04513 1.31056i
\(519\) −5209.74 6532.81i −0.440621 0.552521i
\(520\) 251.539 + 1102.06i 0.0212129 + 0.0929397i
\(521\) 16530.4 + 7960.64i 1.39004 + 0.669409i 0.971115 0.238612i \(-0.0766923\pi\)
0.418926 + 0.908020i \(0.362407\pi\)
\(522\) 2508.19 0.210307
\(523\) −10556.8 −0.882635 −0.441318 0.897351i \(-0.645489\pi\)
−0.441318 + 0.897351i \(0.645489\pi\)
\(524\) 1465.77 + 705.877i 0.122199 + 0.0588481i
\(525\) 1487.29 6516.24i 0.123639 0.541699i
\(526\) 19632.4 9454.47i 1.62740 0.783716i
\(527\) −5084.32 + 22275.8i −0.420259 + 1.84127i
\(528\) −568.047 + 712.308i −0.0468202 + 0.0587107i
\(529\) −8502.39 4094.53i −0.698807 0.336528i
\(530\) −6867.71 + 8611.84i −0.562857 + 0.705801i
\(531\) 230.273 + 1008.89i 0.0188192 + 0.0824522i
\(532\) −6632.67 + 3194.12i −0.540531 + 0.260306i
\(533\) −1579.46 + 760.626i −0.128356 + 0.0618131i
\(534\) 15991.6 + 20052.8i 1.29593 + 1.62504i
\(535\) 708.942 + 3106.08i 0.0572902 + 0.251005i
\(536\) 77.2099 338.279i 0.00622194 0.0272601i
\(537\) 16263.0 + 20393.2i 1.30689 + 1.63879i
\(538\) −15371.4 19275.1i −1.23180 1.54463i
\(539\) 88.5792 388.091i 0.00707862 0.0310135i
\(540\) −2280.20 9990.21i −0.181711 0.796130i
\(541\) −11627.6 14580.5i −0.924046 1.15872i −0.987003 0.160701i \(-0.948625\pi\)
0.0629571 0.998016i \(-0.479947\pi\)
\(542\) −13035.2 + 6277.42i −1.03304 + 0.497487i
\(543\) −16606.6 + 7997.30i −1.31244 + 0.632039i
\(544\) 3644.99 + 15969.7i 0.287275 + 1.25863i
\(545\) 13824.4 17335.2i 1.08655 1.36249i
\(546\) −2261.18 1088.93i −0.177234 0.0853514i
\(547\) 7852.82 9847.12i 0.613825 0.769712i −0.373636 0.927575i \(-0.621889\pi\)
0.987461 + 0.157863i \(0.0504606\pi\)
\(548\) 2304.37 10096.1i 0.179631 0.787016i
\(549\) 1551.98 747.396i 0.120650 0.0581022i
\(550\) 160.538 703.363i 0.0124461 0.0545300i
\(551\) −9494.62 4572.37i −0.734091 0.353520i
\(552\) −6820.95 −0.525940
\(553\) 16531.5 1.27123
\(554\) 4255.16 + 2049.18i 0.326326 + 0.157150i
\(555\) 8310.55 + 36410.9i 0.635609 + 2.78479i
\(556\) −3730.37 4677.74i −0.284538 0.356799i
\(557\) −1633.17 + 2047.93i −0.124236 + 0.155787i −0.840060 0.542494i \(-0.817480\pi\)
0.715823 + 0.698281i \(0.246052\pi\)
\(558\) 7562.41 0.573732
\(559\) 614.445 + 2616.12i 0.0464906 + 0.197943i
\(560\) −13851.0 −1.04520
\(561\) −549.922 + 689.581i −0.0413864 + 0.0518968i
\(562\) 2999.35 + 3761.06i 0.225124 + 0.282297i
\(563\) −681.347 2985.17i −0.0510041 0.223464i 0.943002 0.332787i \(-0.107989\pi\)
−0.994006 + 0.109323i \(0.965132\pi\)
\(564\) −10648.8 5128.18i −0.795026 0.382864i
\(565\) 6472.00 0.481910
\(566\) 1086.46 0.0806842
\(567\) −9499.04 4574.50i −0.703566 0.338820i
\(568\) 1166.61 5111.26i 0.0861795 0.377577i
\(569\) 6444.71 3103.61i 0.474826 0.228664i −0.181136 0.983458i \(-0.557977\pi\)
0.655962 + 0.754794i \(0.272263\pi\)
\(570\) 7330.44 32116.8i 0.538664 2.36004i
\(571\) 273.964 343.540i 0.0200788 0.0251781i −0.771691 0.635998i \(-0.780589\pi\)
0.791770 + 0.610820i \(0.209160\pi\)
\(572\) −103.076 49.6389i −0.00753468 0.00362851i
\(573\) 13206.3 16560.2i 0.962829 1.20735i
\(574\) −1859.66 8147.69i −0.135228 0.592470i
\(575\) 12508.1 6023.58i 0.907172 0.436871i
\(576\) 1244.82 599.475i 0.0900479 0.0433648i
\(577\) −7932.54 9947.10i −0.572333 0.717683i 0.408451 0.912780i \(-0.366069\pi\)
−0.980784 + 0.195097i \(0.937498\pi\)
\(578\) 483.338 + 2117.64i 0.0347824 + 0.152392i
\(579\) −2913.53 + 12765.0i −0.209123 + 0.916226i
\(580\) 5521.45 + 6923.68i 0.395286 + 0.495673i
\(581\) −1269.44 1591.82i −0.0906457 0.113666i
\(582\) −1910.52 + 8370.51i −0.136071 + 0.596167i
\(583\) 91.2584 + 399.829i 0.00648291 + 0.0284035i
\(584\) 4336.20 + 5437.42i 0.307249 + 0.385278i
\(585\) 838.772 403.931i 0.0592803 0.0285479i
\(586\) 15623.5 7523.90i 1.10137 0.530392i
\(587\) −291.547 1277.35i −0.0204999 0.0898158i 0.963643 0.267193i \(-0.0860960\pi\)
−0.984143 + 0.177377i \(0.943239\pi\)
\(588\) −4098.95 + 5139.92i −0.287479 + 0.360488i
\(589\) −28627.1 13786.1i −2.00265 0.964425i
\(590\) −5394.17 + 6764.07i −0.376397 + 0.471987i
\(591\) −451.541 + 1978.33i −0.0314280 + 0.137695i
\(592\) 30012.4 14453.2i 2.08362 1.00342i
\(593\) −1896.68 + 8309.89i −0.131344 + 0.575457i 0.865830 + 0.500338i \(0.166791\pi\)
−0.997175 + 0.0751194i \(0.976066\pi\)
\(594\) −813.937 391.971i −0.0562226 0.0270754i
\(595\) −13409.1 −0.923899
\(596\) 13010.3 0.894167
\(597\) −18713.3 9011.87i −1.28289 0.617808i
\(598\) −1159.99 5082.24i −0.0793235 0.347539i
\(599\) −13160.2 16502.4i −0.897685 1.12566i −0.991505 0.130072i \(-0.958479\pi\)
0.0938200 0.995589i \(-0.470092\pi\)
\(600\) 2732.89 3426.94i 0.185950 0.233174i
\(601\) −27867.5 −1.89141 −0.945705 0.325026i \(-0.894627\pi\)
−0.945705 + 0.325026i \(0.894627\pi\)
\(602\) −12810.7 + 80.5506i −0.867320 + 0.00545349i
\(603\) −285.761 −0.0192986
\(604\) −2747.31 + 3445.01i −0.185077 + 0.232079i
\(605\) 12254.7 + 15366.9i 0.823509 + 1.03265i
\(606\) 2845.41 + 12466.6i 0.190737 + 0.835675i
\(607\) 19277.4 + 9283.50i 1.28904 + 0.620767i 0.947696 0.319173i \(-0.103405\pi\)
0.341339 + 0.939940i \(0.389119\pi\)
\(608\) −22778.8 −1.51942
\(609\) 7233.03 0.481276
\(610\) 12975.1 + 6248.48i 0.861224 + 0.414744i
\(611\) −739.441 + 3239.70i −0.0489600 + 0.214508i
\(612\) 2576.03 1240.55i 0.170147 0.0819384i
\(613\) −4891.76 + 21432.2i −0.322311 + 1.41214i 0.511119 + 0.859510i \(0.329231\pi\)
−0.833430 + 0.552625i \(0.813626\pi\)
\(614\) −9522.23 + 11940.5i −0.625873 + 0.784820i
\(615\) 14229.6 + 6852.62i 0.932998 + 0.449308i
\(616\) −125.097 + 156.867i −0.00818230 + 0.0102603i
\(617\) −2467.89 10812.5i −0.161027 0.705504i −0.989387 0.145308i \(-0.953583\pi\)
0.828360 0.560196i \(-0.189274\pi\)
\(618\) 12518.2 6028.45i 0.814816 0.392394i
\(619\) 12627.0 6080.86i 0.819909 0.394847i 0.0235882 0.999722i \(-0.492491\pi\)
0.796321 + 0.604874i \(0.206777\pi\)
\(620\) 16647.7 + 20875.5i 1.07837 + 1.35223i
\(621\) −3868.35 16948.4i −0.249971 1.09519i
\(622\) 4430.03 19409.2i 0.285576 1.25119i
\(623\) 9051.88 + 11350.7i 0.582112 + 0.729946i
\(624\) −2637.60 3307.45i −0.169212 0.212186i
\(625\) 4118.92 18046.2i 0.263611 1.15496i
\(626\) −1667.15 7304.27i −0.106442 0.466353i
\(627\) −764.730 958.941i −0.0487087 0.0610788i
\(628\) −1569.32 + 755.746i −0.0997178 + 0.0480215i
\(629\) 29054.8 13992.0i 1.84180 0.886962i
\(630\) 987.573 + 4326.84i 0.0624537 + 0.273628i
\(631\) −12830.8 + 16089.3i −0.809486 + 1.01506i 0.189960 + 0.981792i \(0.439164\pi\)
−0.999446 + 0.0332717i \(0.989407\pi\)
\(632\) 9767.66 + 4703.86i 0.614773 + 0.296059i
\(633\) 2361.15 2960.79i 0.148258 0.185910i
\(634\) −3533.41 + 15480.9i −0.221340 + 0.969754i
\(635\) −20776.8 + 10005.6i −1.29843 + 0.625291i
\(636\) 1507.15 6603.24i 0.0939658 0.411691i
\(637\) 1665.31 + 801.972i 0.103582 + 0.0498827i
\(638\) 780.733 0.0484475
\(639\) −4317.74 −0.267304
\(640\) −13183.8 6348.99i −0.814275 0.392134i
\(641\) 4803.59 + 21045.9i 0.295991 + 1.29682i 0.876039 + 0.482240i \(0.160177\pi\)
−0.580048 + 0.814583i \(0.696966\pi\)
\(642\) −2892.21 3626.72i −0.177798 0.222952i
\(643\) 4100.11 5141.37i 0.251466 0.315328i −0.640036 0.768345i \(-0.721081\pi\)
0.891502 + 0.453017i \(0.149652\pi\)
\(644\) 10495.1 0.642183
\(645\) 14975.7 19023.1i 0.914213 1.16129i
\(646\) −28445.2 −1.73245
\(647\) 6429.19 8061.94i 0.390661 0.489873i −0.547143 0.837039i \(-0.684285\pi\)
0.937804 + 0.347166i \(0.112856\pi\)
\(648\) −4310.90 5405.70i −0.261340 0.327710i
\(649\) 71.6779 + 314.041i 0.00433529 + 0.0189942i
\(650\) 3018.15 + 1453.47i 0.182126 + 0.0877071i
\(651\) 21808.3 1.31295
\(652\) 17506.5 1.05154
\(653\) −9277.82 4467.96i −0.556002 0.267756i 0.134712 0.990885i \(-0.456989\pi\)
−0.690714 + 0.723128i \(0.742703\pi\)
\(654\) −7183.69 + 31473.8i −0.429518 + 1.88184i
\(655\) −3712.73 + 1787.96i −0.221478 + 0.106658i
\(656\) 3134.63 13733.7i 0.186565 0.817395i
\(657\) 3571.16 4478.10i 0.212061 0.265917i
\(658\) −14272.7 6873.38i −0.845605 0.407222i
\(659\) 8097.02 10153.3i 0.478627 0.600179i −0.482633 0.875823i \(-0.660320\pi\)
0.961260 + 0.275644i \(0.0888909\pi\)
\(660\) 229.354 + 1004.86i 0.0135266 + 0.0592641i
\(661\) −6054.62 + 2915.75i −0.356274 + 0.171573i −0.603456 0.797397i \(-0.706210\pi\)
0.247181 + 0.968969i \(0.420496\pi\)
\(662\) 2734.10 1316.67i 0.160519 0.0773019i
\(663\) −2553.44 3201.92i −0.149574 0.187560i
\(664\) −297.113 1301.74i −0.0173648 0.0760801i
\(665\) 4149.32 18179.4i 0.241961 1.06010i
\(666\) −6654.81 8344.87i −0.387190 0.485521i
\(667\) 9367.13 + 11746.0i 0.543773 + 0.681870i
\(668\) 390.677 1711.67i 0.0226284 0.0991413i
\(669\) −392.156 1718.15i −0.0226631 0.0992935i
\(670\) −1489.55 1867.84i −0.0858901 0.107703i
\(671\) 483.092 232.645i 0.0277937 0.0133847i
\(672\) 14086.2 6783.56i 0.808612 0.389407i
\(673\) 1305.09 + 5717.97i 0.0747511 + 0.327506i 0.998453 0.0556067i \(-0.0177093\pi\)
−0.923702 + 0.383113i \(0.874852\pi\)
\(674\) −19454.7 + 24395.4i −1.11182 + 1.39418i
\(675\) 10065.0 + 4847.05i 0.573929 + 0.276390i
\(676\) −7680.07 + 9630.51i −0.436964 + 0.547935i
\(677\) −5015.19 + 21973.0i −0.284711 + 1.24740i 0.606965 + 0.794728i \(0.292387\pi\)
−0.891677 + 0.452673i \(0.850471\pi\)
\(678\) −8490.03 + 4088.58i −0.480911 + 0.231595i
\(679\) −1081.43 + 4738.05i −0.0611214 + 0.267790i
\(680\) −7922.79 3815.42i −0.446802 0.215168i
\(681\) −7597.70 −0.427525
\(682\) 2353.98 0.132168
\(683\) −13642.7 6569.97i −0.764309 0.368072i 0.0107655 0.999942i \(-0.496573\pi\)
−0.775074 + 0.631870i \(0.782287\pi\)
\(684\) 884.745 + 3876.32i 0.0494577 + 0.216688i
\(685\) 16354.6 + 20508.0i 0.912228 + 1.14390i
\(686\) −15210.2 + 19073.0i −0.846544 + 1.06153i
\(687\) −27766.3 −1.54199
\(688\) −19514.2 9246.83i −1.08135 0.512401i
\(689\) −1904.26 −0.105293
\(690\) −29281.8 + 36718.2i −1.61557 + 2.02585i
\(691\) −6214.59 7792.85i −0.342133 0.429021i 0.580762 0.814074i \(-0.302755\pi\)
−0.922895 + 0.385052i \(0.874183\pi\)
\(692\) 1876.16 + 8219.99i 0.103065 + 0.451557i
\(693\) 148.877 + 71.6954i 0.00816070 + 0.00392999i
\(694\) −28384.5 −1.55254
\(695\) 15154.8 0.827129
\(696\) 4273.65 + 2058.08i 0.232748 + 0.112085i
\(697\) 3034.61 13295.5i 0.164913 0.722530i
\(698\) −5117.25 + 2464.34i −0.277494 + 0.133634i
\(699\) −482.554 + 2114.21i −0.0261114 + 0.114401i
\(700\) −4205.00 + 5272.90i −0.227049 + 0.284710i
\(701\) −13465.6 6484.71i −0.725521 0.349392i 0.0344001 0.999408i \(-0.489048\pi\)
−0.759921 + 0.650016i \(0.774762\pi\)
\(702\) 2615.38 3279.58i 0.140614 0.176325i
\(703\) 9978.96 + 43720.7i 0.535368 + 2.34560i
\(704\) 387.481 186.601i 0.0207439 0.00998976i
\(705\) 26972.9 12989.5i 1.44094 0.693918i
\(706\) −26078.7 32701.7i −1.39021 1.74326i
\(707\) 1610.62 + 7056.57i 0.0856767 + 0.375374i
\(708\) 1183.77 5186.44i 0.0628374 0.275308i
\(709\) −10258.6 12863.8i −0.543397 0.681398i 0.431995 0.901876i \(-0.357810\pi\)
−0.975392 + 0.220478i \(0.929238\pi\)
\(710\) −22506.6 28222.3i −1.18966 1.49178i
\(711\) 1986.79 8704.70i 0.104797 0.459144i
\(712\) 2118.60 + 9282.20i 0.111514 + 0.488575i
\(713\) 28242.8 + 35415.3i 1.48345 + 1.86019i
\(714\) 17590.2 8470.99i 0.921984 0.444004i
\(715\) 261.088 125.733i 0.0136561 0.00657645i
\(716\) −5856.73 25660.0i −0.305693 1.33933i
\(717\) −14804.0 + 18563.7i −0.771084 + 0.966909i
\(718\) 13154.6 + 6334.91i 0.683739 + 0.329271i
\(719\) 11083.5 13898.2i 0.574887 0.720886i −0.406344 0.913720i \(-0.633197\pi\)
0.981231 + 0.192834i \(0.0617679\pi\)
\(720\) −1664.65 + 7293.30i −0.0861636 + 0.377507i
\(721\) 7085.80 3412.34i 0.366004 0.176258i
\(722\) 3122.29 13679.7i 0.160941 0.705130i
\(723\) 32667.4 + 15731.8i 1.68038 + 0.809228i
\(724\) 18598.7 0.954716
\(725\) −9654.41 −0.494560
\(726\) −25783.6 12416.7i −1.31807 0.634748i
\(727\) 174.081 + 762.700i 0.00888077 + 0.0389092i 0.979174 0.203022i \(-0.0650763\pi\)
−0.970293 + 0.241931i \(0.922219\pi\)
\(728\) −580.860 728.375i −0.0295716 0.0370816i
\(729\) 7989.86 10019.0i 0.405927 0.509016i
\(730\) 47885.5 2.42784
\(731\) −18891.5 8951.80i −0.955854 0.452933i
\(732\) −8855.29 −0.447132
\(733\) −23988.9 + 30081.1i −1.20880 + 1.51579i −0.412412 + 0.910997i \(0.635314\pi\)
−0.796386 + 0.604788i \(0.793258\pi\)
\(734\) −4532.78 5683.93i −0.227940 0.285828i
\(735\) −3705.46 16234.7i −0.185956 0.814729i
\(736\) 29258.4 + 14090.1i 1.46533 + 0.705664i
\(737\) −88.9499 −0.00444574
\(738\) −4513.68 −0.225137
\(739\) −11082.0 5336.79i −0.551633 0.265652i 0.137236 0.990538i \(-0.456178\pi\)
−0.688869 + 0.724886i \(0.741892\pi\)
\(740\) 8385.74 36740.3i 0.416576 1.82514i
\(741\) 5131.13 2471.02i 0.254382 0.122504i
\(742\) 2020.05 8850.41i 0.0999438 0.437883i
\(743\) 23867.7 29929.2i 1.17850 1.47779i 0.333714 0.942674i \(-0.391698\pi\)
0.844781 0.535112i \(-0.179731\pi\)
\(744\) 12885.4 + 6205.30i 0.634951 + 0.305776i
\(745\) −20546.9 + 25764.9i −1.01044 + 1.26705i
\(746\) −2392.36 10481.6i −0.117414 0.514422i
\(747\) −990.743 + 477.117i −0.0485266 + 0.0233692i
\(748\) 801.851 386.151i 0.0391960 0.0188758i
\(749\) −1637.11 2052.87i −0.0798647 0.100147i
\(750\) 2171.92 + 9515.81i 0.105743 + 0.463291i
\(751\) −2795.89 + 12249.6i −0.135850 + 0.595199i 0.860471 + 0.509500i \(0.170170\pi\)
−0.996321 + 0.0856991i \(0.972688\pi\)
\(752\) −16648.7 20876.8i −0.807333 1.01236i
\(753\) −1460.46 1831.36i −0.0706800 0.0886299i
\(754\) −806.674 + 3534.27i −0.0389620 + 0.170704i
\(755\) −2483.57 10881.2i −0.119717 0.524515i
\(756\) 5265.50 + 6602.73i 0.253313 + 0.317644i
\(757\) 11589.4 5581.18i 0.556441 0.267968i −0.134458 0.990919i \(-0.542929\pi\)
0.690899 + 0.722952i \(0.257215\pi\)
\(758\) 7383.32 3555.62i 0.353792 0.170377i
\(759\) 389.098 + 1704.75i 0.0186079 + 0.0815263i
\(760\) 7624.38 9560.67i 0.363902 0.456318i
\(761\) 3241.17 + 1560.86i 0.154392 + 0.0743512i 0.509484 0.860480i \(-0.329836\pi\)
−0.355092 + 0.934831i \(0.615551\pi\)
\(762\) 20934.4 26250.8i 0.995238 1.24799i
\(763\) −4066.26 + 17815.4i −0.192934 + 0.845298i
\(764\) −19256.3 + 9273.36i −0.911871 + 0.439134i
\(765\) −1611.54 + 7060.60i −0.0761637 + 0.333695i
\(766\) 45462.6 + 21893.7i 2.14443 + 1.03270i
\(767\) −1495.68 −0.0704119
\(768\) 31021.1 1.45752
\(769\) −17105.8 8237.74i −0.802149 0.386295i −0.0125526 0.999921i \(-0.503996\pi\)
−0.789596 + 0.613627i \(0.789710\pi\)
\(770\) 307.406 + 1346.83i 0.0143872 + 0.0630344i
\(771\) −10476.6 13137.2i −0.489371 0.613651i
\(772\) 8237.38 10329.3i 0.384028 0.481556i