Properties

Label 43.4.e.a.11.4
Level $43$
Weight $4$
Character 43.11
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 11.4
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +O(q^{10})\) \(q+(-0.976506 - 1.22450i) q^{2} +(-3.38192 + 4.24079i) q^{3} +(1.23433 - 5.40796i) q^{4} +(-7.32010 + 3.52517i) q^{5} +8.49531 q^{6} -30.7370 q^{7} +(-19.1161 + 9.20584i) q^{8} +(-0.538880 - 2.36099i) q^{9} +(11.4647 + 5.52111i) q^{10} +(-2.01741 - 8.83884i) q^{11} +(18.7596 + 23.5238i) q^{12} +(14.5061 - 6.98577i) q^{13} +(30.0148 + 37.6374i) q^{14} +(9.80646 - 42.9649i) q^{15} +(-10.0421 - 4.83603i) q^{16} +(12.0982 + 5.82619i) q^{17} +(-2.36481 + 2.96538i) q^{18} +(17.0702 - 74.7893i) q^{19} +(10.0286 + 43.9381i) q^{20} +(103.950 - 130.349i) q^{21} +(-8.85314 + 11.1015i) q^{22} +(8.55180 + 37.4679i) q^{23} +(25.6091 - 112.201i) q^{24} +(-36.7792 + 46.1197i) q^{25} +(-22.7194 - 10.9411i) q^{26} +(-120.115 - 57.8441i) q^{27} +(-37.9396 + 166.224i) q^{28} +(156.745 + 196.552i) q^{29} +(-62.1866 + 29.9475i) q^{30} +(-75.2818 - 94.4004i) q^{31} +(41.6548 + 182.502i) q^{32} +(44.3064 + 21.3368i) q^{33} +(-4.67980 - 20.5036i) q^{34} +(224.998 - 108.353i) q^{35} -13.4333 q^{36} -391.816 q^{37} +(-108.249 + 52.1298i) q^{38} +(-19.4333 + 85.1427i) q^{39} +(107.480 - 134.775i) q^{40} +(-211.188 - 264.822i) q^{41} -261.120 q^{42} +(-279.224 - 39.2571i) q^{43} -50.2902 q^{44} +(12.2676 + 15.3830i) q^{45} +(37.5285 - 47.0593i) q^{46} +(-26.7847 + 117.352i) q^{47} +(54.4702 - 26.2315i) q^{48} +601.761 q^{49} +92.3886 q^{50} +(-65.6228 + 31.6023i) q^{51} +(-19.8734 - 87.0712i) q^{52} +(433.266 + 208.650i) q^{53} +(46.4624 + 203.565i) q^{54} +(45.9261 + 57.5895i) q^{55} +(587.571 - 282.959i) q^{56} +(259.436 + 325.322i) q^{57} +(87.6156 - 383.869i) q^{58} +(-322.532 - 155.323i) q^{59} +(-220.248 - 106.066i) q^{60} +(-369.331 + 463.126i) q^{61} +(-42.0801 + 184.365i) q^{62} +(16.5635 + 72.5696i) q^{63} +(127.202 - 159.506i) q^{64} +(-81.5600 + 102.273i) q^{65} +(-17.1385 - 75.0887i) q^{66} +(149.670 - 655.746i) q^{67} +(46.4410 - 58.2352i) q^{68} +(-187.815 - 90.4469i) q^{69} +(-352.390 - 169.702i) q^{70} +(-93.0055 + 407.484i) q^{71} +(32.0362 + 40.1721i) q^{72} +(831.270 - 400.319i) q^{73} +(382.611 + 479.779i) q^{74} +(-71.1996 - 311.946i) q^{75} +(-383.387 - 184.630i) q^{76} +(62.0090 + 271.679i) q^{77} +(123.234 - 59.3463i) q^{78} -107.902 q^{79} +90.5571 q^{80} +(710.433 - 342.127i) q^{81} +(-118.048 + 517.200i) q^{82} +(-625.732 + 784.644i) q^{83} +(-576.614 - 723.051i) q^{84} -109.098 q^{85} +(224.593 + 380.244i) q^{86} -1363.64 q^{87} +(119.934 + 150.392i) q^{88} +(-117.555 + 147.410i) q^{89} +(6.85717 - 30.0432i) q^{90} +(-445.873 + 214.721i) q^{91} +213.181 q^{92} +654.930 q^{93} +(169.853 - 81.7967i) q^{94} +(138.690 + 607.640i) q^{95} +(-914.825 - 440.556i) q^{96} +(-107.153 - 469.467i) q^{97} +(-587.623 - 736.856i) q^{98} +(-19.7812 + 9.52615i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.976506 1.22450i −0.345247 0.432926i 0.578645 0.815580i \(-0.303582\pi\)
−0.923892 + 0.382654i \(0.875010\pi\)
\(3\) −3.38192 + 4.24079i −0.650851 + 0.816141i −0.992313 0.123755i \(-0.960506\pi\)
0.341462 + 0.939896i \(0.389078\pi\)
\(4\) 1.23433 5.40796i 0.154291 0.675995i
\(5\) −7.32010 + 3.52517i −0.654730 + 0.315301i −0.731594 0.681740i \(-0.761223\pi\)
0.0768645 + 0.997042i \(0.475509\pi\)
\(6\) 8.49531 0.578033
\(7\) −30.7370 −1.65964 −0.829820 0.558031i \(-0.811557\pi\)
−0.829820 + 0.558031i \(0.811557\pi\)
\(8\) −19.1161 + 9.20584i −0.844821 + 0.406844i
\(9\) −0.538880 2.36099i −0.0199585 0.0874440i
\(10\) 11.4647 + 5.52111i 0.362546 + 0.174593i
\(11\) −2.01741 8.83884i −0.0552974 0.242274i 0.939724 0.341933i \(-0.111082\pi\)
−0.995022 + 0.0996598i \(0.968225\pi\)
\(12\) 18.7596 + 23.5238i 0.451287 + 0.565895i
\(13\) 14.5061 6.98577i 0.309482 0.149039i −0.272695 0.962100i \(-0.587915\pi\)
0.582178 + 0.813062i \(0.302201\pi\)
\(14\) 30.0148 + 37.6374i 0.572986 + 0.718501i
\(15\) 9.80646 42.9649i 0.168801 0.739566i
\(16\) −10.0421 4.83603i −0.156908 0.0755629i
\(17\) 12.0982 + 5.82619i 0.172603 + 0.0831211i 0.518190 0.855266i \(-0.326606\pi\)
−0.345587 + 0.938387i \(0.612320\pi\)
\(18\) −2.36481 + 2.96538i −0.0309662 + 0.0388303i
\(19\) 17.0702 74.7893i 0.206114 0.903044i −0.761010 0.648740i \(-0.775296\pi\)
0.967124 0.254304i \(-0.0818465\pi\)
\(20\) 10.0286 + 43.9381i 0.112123 + 0.491242i
\(21\) 103.950 130.349i 1.08018 1.35450i
\(22\) −8.85314 + 11.1015i −0.0857953 + 0.107584i
\(23\) 8.55180 + 37.4679i 0.0775293 + 0.339678i 0.998785 0.0492794i \(-0.0156925\pi\)
−0.921256 + 0.388957i \(0.872835\pi\)
\(24\) 25.6091 112.201i 0.217810 0.954288i
\(25\) −36.7792 + 46.1197i −0.294234 + 0.368957i
\(26\) −22.7194 10.9411i −0.171370 0.0825277i
\(27\) −120.115 57.8441i −0.856150 0.412300i
\(28\) −37.9396 + 166.224i −0.256068 + 1.12191i
\(29\) 156.745 + 196.552i 1.00369 + 1.25858i 0.965797 + 0.259299i \(0.0834916\pi\)
0.0378881 + 0.999282i \(0.487937\pi\)
\(30\) −62.1866 + 29.9475i −0.378455 + 0.182254i
\(31\) −75.2818 94.4004i −0.436162 0.546930i 0.514365 0.857571i \(-0.328028\pi\)
−0.950527 + 0.310642i \(0.899456\pi\)
\(32\) 41.6548 + 182.502i 0.230112 + 1.00819i
\(33\) 44.3064 + 21.3368i 0.233720 + 0.112553i
\(34\) −4.67980 20.5036i −0.0236053 0.103421i
\(35\) 224.998 108.353i 1.08662 0.523286i
\(36\) −13.4333 −0.0621911
\(37\) −391.816 −1.74092 −0.870462 0.492235i \(-0.836180\pi\)
−0.870462 + 0.492235i \(0.836180\pi\)
\(38\) −108.249 + 52.1298i −0.462111 + 0.222541i
\(39\) −19.4333 + 85.1427i −0.0797900 + 0.349583i
\(40\) 107.480 134.775i 0.424851 0.532746i
\(41\) −211.188 264.822i −0.804441 1.00874i −0.999609 0.0279676i \(-0.991096\pi\)
0.195167 0.980770i \(-0.437475\pi\)
\(42\) −261.120 −0.959327
\(43\) −279.224 39.2571i −0.990261 0.139225i
\(44\) −50.2902 −0.172308
\(45\) 12.2676 + 15.3830i 0.0406386 + 0.0509592i
\(46\) 37.5285 47.0593i 0.120289 0.150837i
\(47\) −26.7847 + 117.352i −0.0831267 + 0.364202i −0.999334 0.0365038i \(-0.988378\pi\)
0.916207 + 0.400706i \(0.131235\pi\)
\(48\) 54.4702 26.2315i 0.163794 0.0788789i
\(49\) 601.761 1.75440
\(50\) 92.3886 0.261315
\(51\) −65.6228 + 31.6023i −0.180177 + 0.0867687i
\(52\) −19.8734 87.0712i −0.0529990 0.232204i
\(53\) 433.266 + 208.650i 1.12290 + 0.540760i 0.900787 0.434261i \(-0.142990\pi\)
0.222113 + 0.975021i \(0.428705\pi\)
\(54\) 46.4624 + 203.565i 0.117088 + 0.512995i
\(55\) 45.9261 + 57.5895i 0.112594 + 0.141188i
\(56\) 587.571 282.959i 1.40210 0.675215i
\(57\) 259.436 + 325.322i 0.602862 + 0.755965i
\(58\) 87.6156 383.869i 0.198353 0.869043i
\(59\) −322.532 155.323i −0.711696 0.342735i 0.0427602 0.999085i \(-0.486385\pi\)
−0.754456 + 0.656351i \(0.772099\pi\)
\(60\) −220.248 106.066i −0.473898 0.228217i
\(61\) −369.331 + 463.126i −0.775212 + 0.972085i −0.999997 0.00232292i \(-0.999261\pi\)
0.224785 + 0.974408i \(0.427832\pi\)
\(62\) −42.0801 + 184.365i −0.0861965 + 0.377652i
\(63\) 16.5635 + 72.5696i 0.0331240 + 0.145126i
\(64\) 127.202 159.506i 0.248442 0.311536i
\(65\) −81.5600 + 102.273i −0.155635 + 0.195160i
\(66\) −17.1385 75.0887i −0.0319637 0.140042i
\(67\) 149.670 655.746i 0.272912 1.19570i −0.633647 0.773623i \(-0.718443\pi\)
0.906558 0.422081i \(-0.138700\pi\)
\(68\) 46.4410 58.2352i 0.0828205 0.103854i
\(69\) −187.815 90.4469i −0.327685 0.157805i
\(70\) −352.390 169.702i −0.601695 0.289761i
\(71\) −93.0055 + 407.484i −0.155461 + 0.681119i 0.835781 + 0.549063i \(0.185015\pi\)
−0.991242 + 0.132056i \(0.957842\pi\)
\(72\) 32.0362 + 40.1721i 0.0524375 + 0.0657545i
\(73\) 831.270 400.319i 1.33278 0.641832i 0.374382 0.927275i \(-0.377855\pi\)
0.958396 + 0.285442i \(0.0921405\pi\)
\(74\) 382.611 + 479.779i 0.601049 + 0.753692i
\(75\) −71.1996 311.946i −0.109619 0.480272i
\(76\) −383.387 184.630i −0.578652 0.278664i
\(77\) 62.0090 + 271.679i 0.0917737 + 0.402087i
\(78\) 123.234 59.3463i 0.178891 0.0861493i
\(79\) −107.902 −0.153670 −0.0768350 0.997044i \(-0.524481\pi\)
−0.0768350 + 0.997044i \(0.524481\pi\)
\(80\) 90.5571 0.126557
\(81\) 710.433 342.127i 0.974531 0.469309i
\(82\) −118.048 + 517.200i −0.158978 + 0.696527i
\(83\) −625.732 + 784.644i −0.827507 + 1.03766i 0.171119 + 0.985250i \(0.445262\pi\)
−0.998626 + 0.0524102i \(0.983310\pi\)
\(84\) −576.614 723.051i −0.748973 0.939183i
\(85\) −109.098 −0.139216
\(86\) 224.593 + 380.244i 0.281611 + 0.476777i
\(87\) −1363.64 −1.68043
\(88\) 119.934 + 150.392i 0.145284 + 0.182180i
\(89\) −117.555 + 147.410i −0.140009 + 0.175566i −0.846892 0.531764i \(-0.821529\pi\)
0.706883 + 0.707330i \(0.250101\pi\)
\(90\) 6.85717 30.0432i 0.00803121 0.0351870i
\(91\) −445.873 + 214.721i −0.513629 + 0.247351i
\(92\) 213.181 0.241583
\(93\) 654.930 0.730248
\(94\) 169.853 81.7967i 0.186372 0.0897519i
\(95\) 138.690 + 607.640i 0.149782 + 0.656238i
\(96\) −914.825 440.556i −0.972593 0.468376i
\(97\) −107.153 469.467i −0.112162 0.491414i −0.999539 0.0303687i \(-0.990332\pi\)
0.887377 0.461045i \(-0.152525\pi\)
\(98\) −587.623 736.856i −0.605703 0.759527i
\(99\) −19.7812 + 9.52615i −0.0200817 + 0.00967084i
\(100\) 204.016 + 255.827i 0.204016 + 0.255827i
\(101\) 304.920 1335.94i 0.300403 1.31615i −0.569118 0.822256i \(-0.692715\pi\)
0.869521 0.493896i \(-0.164428\pi\)
\(102\) 102.778 + 49.4953i 0.0997700 + 0.0480467i
\(103\) 741.673 + 357.171i 0.709507 + 0.341681i 0.753588 0.657347i \(-0.228322\pi\)
−0.0440805 + 0.999028i \(0.514036\pi\)
\(104\) −212.990 + 267.081i −0.200821 + 0.251822i
\(105\) −301.421 + 1320.61i −0.280149 + 1.22741i
\(106\) −167.595 734.283i −0.153569 0.672829i
\(107\) −1207.26 + 1513.86i −1.09075 + 1.36776i −0.166468 + 0.986047i \(0.553236\pi\)
−0.924282 + 0.381710i \(0.875335\pi\)
\(108\) −461.080 + 578.176i −0.410809 + 0.515139i
\(109\) 392.896 + 1721.39i 0.345253 + 1.51265i 0.787813 + 0.615914i \(0.211213\pi\)
−0.442560 + 0.896739i \(0.645930\pi\)
\(110\) 25.6712 112.473i 0.0222514 0.0974897i
\(111\) 1325.09 1661.61i 1.13308 1.42084i
\(112\) 308.664 + 148.645i 0.260411 + 0.125407i
\(113\) −1743.63 839.689i −1.45157 0.699038i −0.468701 0.883357i \(-0.655278\pi\)
−0.982867 + 0.184319i \(0.940992\pi\)
\(114\) 145.016 635.358i 0.119141 0.521989i
\(115\) −194.681 244.122i −0.157862 0.197952i
\(116\) 1256.42 605.062i 1.00565 0.484298i
\(117\) −24.3104 30.4842i −0.0192093 0.0240878i
\(118\) 124.761 + 546.614i 0.0973321 + 0.426440i
\(119\) −371.862 179.079i −0.286458 0.137951i
\(120\) 208.066 + 911.598i 0.158281 + 0.693476i
\(121\) 1125.13 541.836i 0.845330 0.407090i
\(122\) 927.751 0.688481
\(123\) 1837.28 1.34684
\(124\) −603.437 + 290.600i −0.437018 + 0.210457i
\(125\) 332.637 1457.38i 0.238016 1.04281i
\(126\) 72.6871 91.1467i 0.0513927 0.0644444i
\(127\) 135.201 + 169.537i 0.0944657 + 0.118456i 0.826818 0.562470i \(-0.190149\pi\)
−0.732352 + 0.680926i \(0.761577\pi\)
\(128\) 1178.03 0.813470
\(129\) 1110.79 1051.37i 0.758139 0.717578i
\(130\) 204.877 0.138222
\(131\) −392.515 492.198i −0.261788 0.328271i 0.633514 0.773731i \(-0.281612\pi\)
−0.895302 + 0.445460i \(0.853040\pi\)
\(132\) 170.078 213.270i 0.112147 0.140627i
\(133\) −524.685 + 2298.79i −0.342075 + 1.49873i
\(134\) −949.114 + 457.069i −0.611873 + 0.294663i
\(135\) 1083.16 0.690545
\(136\) −284.906 −0.179636
\(137\) 1621.18 780.720i 1.01100 0.486872i 0.146342 0.989234i \(-0.453250\pi\)
0.864657 + 0.502362i \(0.167536\pi\)
\(138\) 72.6502 + 318.301i 0.0448145 + 0.196345i
\(139\) −1229.22 591.960i −0.750078 0.361218i 0.0194676 0.999810i \(-0.493803\pi\)
−0.769545 + 0.638592i \(0.779517\pi\)
\(140\) −308.248 1350.52i −0.186084 0.815285i
\(141\) −407.080 510.462i −0.243137 0.304884i
\(142\) 589.784 284.025i 0.348547 0.167851i
\(143\) −91.0108 114.124i −0.0532217 0.0667379i
\(144\) −6.00631 + 26.3154i −0.00347587 + 0.0152288i
\(145\) −1840.27 886.229i −1.05397 0.507567i
\(146\) −1301.93 626.976i −0.738003 0.355404i
\(147\) −2035.11 + 2551.94i −1.14186 + 1.43184i
\(148\) −483.631 + 2118.93i −0.268610 + 1.17686i
\(149\) 13.5978 + 59.5759i 0.00747635 + 0.0327561i 0.978529 0.206112i \(-0.0660810\pi\)
−0.971052 + 0.238868i \(0.923224\pi\)
\(150\) −312.451 + 391.801i −0.170077 + 0.213269i
\(151\) 1242.01 1557.43i 0.669358 0.839349i −0.324968 0.945725i \(-0.605353\pi\)
0.994326 + 0.106376i \(0.0339248\pi\)
\(152\) 362.183 + 1586.83i 0.193269 + 0.846767i
\(153\) 7.23608 31.7033i 0.00382354 0.0167520i
\(154\) 272.119 341.226i 0.142389 0.178551i
\(155\) 883.849 + 425.639i 0.458016 + 0.220569i
\(156\) 436.461 + 210.189i 0.224005 + 0.107875i
\(157\) −115.047 + 504.054i −0.0584825 + 0.256228i −0.995715 0.0924771i \(-0.970522\pi\)
0.937232 + 0.348706i \(0.113379\pi\)
\(158\) 105.367 + 132.126i 0.0530541 + 0.0665278i
\(159\) −2350.11 + 1131.76i −1.17218 + 0.564491i
\(160\) −948.267 1189.09i −0.468544 0.587536i
\(161\) −262.856 1151.65i −0.128671 0.563743i
\(162\) −1112.68 535.837i −0.539630 0.259872i
\(163\) −345.011 1511.59i −0.165787 0.726362i −0.987650 0.156676i \(-0.949922\pi\)
0.821863 0.569686i \(-0.192935\pi\)
\(164\) −1692.82 + 815.221i −0.806020 + 0.388159i
\(165\) −399.543 −0.188512
\(166\) 1571.83 0.734924
\(167\) 2383.15 1147.66i 1.10427 0.531790i 0.209273 0.977857i \(-0.432890\pi\)
0.894999 + 0.446068i \(0.147176\pi\)
\(168\) −787.147 + 3448.71i −0.361486 + 1.58377i
\(169\) −1208.18 + 1515.01i −0.549923 + 0.689582i
\(170\) 106.535 + 133.591i 0.0480640 + 0.0602703i
\(171\) −185.775 −0.0830795
\(172\) −556.956 + 1461.57i −0.246904 + 0.647930i
\(173\) −2035.37 −0.894488 −0.447244 0.894412i \(-0.647594\pi\)
−0.447244 + 0.894412i \(0.647594\pi\)
\(174\) 1331.60 + 1669.77i 0.580163 + 0.727501i
\(175\) 1130.48 1417.58i 0.488322 0.612336i
\(176\) −22.4858 + 98.5168i −0.00963030 + 0.0421931i
\(177\) 1749.47 842.500i 0.742927 0.357775i
\(178\) 295.297 0.124345
\(179\) −3581.88 −1.49566 −0.747828 0.663893i \(-0.768903\pi\)
−0.747828 + 0.663893i \(0.768903\pi\)
\(180\) 98.3330 47.3547i 0.0407184 0.0196089i
\(181\) −31.7198 138.973i −0.0130260 0.0570707i 0.967997 0.250961i \(-0.0807466\pi\)
−0.981023 + 0.193890i \(0.937889\pi\)
\(182\) 698.324 + 336.295i 0.284413 + 0.136966i
\(183\) −714.975 3132.51i −0.288811 1.26537i
\(184\) −508.400 637.514i −0.203694 0.255425i
\(185\) 2868.14 1381.22i 1.13984 0.548916i
\(186\) −639.543 801.961i −0.252116 0.316143i
\(187\) 27.0897 118.688i 0.0105936 0.0464134i
\(188\) 601.572 + 289.702i 0.233373 + 0.112387i
\(189\) 3691.95 + 1777.95i 1.42090 + 0.684270i
\(190\) 608.624 763.190i 0.232391 0.291409i
\(191\) −136.616 + 598.555i −0.0517550 + 0.226754i −0.994191 0.107634i \(-0.965672\pi\)
0.942436 + 0.334388i \(0.108530\pi\)
\(192\) 246.246 + 1078.88i 0.0925588 + 0.405527i
\(193\) −156.872 + 196.711i −0.0585071 + 0.0733656i −0.810224 0.586120i \(-0.800655\pi\)
0.751717 + 0.659486i \(0.229226\pi\)
\(194\) −470.226 + 589.645i −0.174022 + 0.218217i
\(195\) −157.889 691.758i −0.0579830 0.254040i
\(196\) 742.772 3254.30i 0.270690 1.18597i
\(197\) −1275.72 + 1599.70i −0.461377 + 0.578549i −0.957036 0.289969i \(-0.906355\pi\)
0.495659 + 0.868517i \(0.334927\pi\)
\(198\) 30.9813 + 14.9198i 0.0111199 + 0.00535507i
\(199\) −543.233 261.607i −0.193512 0.0931902i 0.334619 0.942354i \(-0.391392\pi\)
−0.528130 + 0.849163i \(0.677107\pi\)
\(200\) 278.505 1220.21i 0.0984665 0.431410i
\(201\) 2274.71 + 2852.40i 0.798238 + 1.00096i
\(202\) −1933.62 + 931.181i −0.673509 + 0.324345i
\(203\) −4817.87 6041.42i −1.66576 2.08879i
\(204\) 89.9036 + 393.893i 0.0308554 + 0.135186i
\(205\) 2479.46 + 1194.05i 0.844748 + 0.406809i
\(206\) −286.893 1256.96i −0.0970328 0.425128i
\(207\) 83.8528 40.3814i 0.0281554 0.0135589i
\(208\) −179.455 −0.0598220
\(209\) −695.488 −0.230181
\(210\) 1911.43 920.494i 0.628100 0.302477i
\(211\) −967.879 + 4240.56i −0.315789 + 1.38356i 0.529071 + 0.848577i \(0.322540\pi\)
−0.844861 + 0.534986i \(0.820317\pi\)
\(212\) 1663.17 2085.54i 0.538805 0.675640i
\(213\) −1413.52 1772.49i −0.454707 0.570185i
\(214\) 3032.61 0.968716
\(215\) 2182.33 696.946i 0.692251 0.221076i
\(216\) 2828.63 0.891035
\(217\) 2313.93 + 2901.58i 0.723872 + 0.907706i
\(218\) 1724.18 2162.05i 0.535669 0.671708i
\(219\) −1113.62 + 4879.09i −0.343614 + 1.50547i
\(220\) 368.130 177.282i 0.112815 0.0543288i
\(221\) 216.198 0.0658057
\(222\) −3328.60 −1.00631
\(223\) 2130.56 1026.03i 0.639790 0.308107i −0.0857191 0.996319i \(-0.527319\pi\)
0.725509 + 0.688213i \(0.241604\pi\)
\(224\) −1280.34 5609.54i −0.381904 1.67323i
\(225\) 128.708 + 61.9823i 0.0381356 + 0.0183651i
\(226\) 674.468 + 2955.04i 0.198518 + 0.869762i
\(227\) 4122.81 + 5169.84i 1.20546 + 1.51160i 0.802792 + 0.596260i \(0.203347\pi\)
0.402672 + 0.915344i \(0.368081\pi\)
\(228\) 2079.56 1001.46i 0.604045 0.290893i
\(229\) 1350.29 + 1693.21i 0.389650 + 0.488606i 0.937507 0.347966i \(-0.113128\pi\)
−0.547857 + 0.836572i \(0.684556\pi\)
\(230\) −108.820 + 476.773i −0.0311974 + 0.136685i
\(231\) −1361.84 655.829i −0.387891 0.186798i
\(232\) −4805.79 2314.35i −1.35998 0.654932i
\(233\) −1601.67 + 2008.43i −0.450338 + 0.564706i −0.954235 0.299058i \(-0.903328\pi\)
0.503897 + 0.863764i \(0.331899\pi\)
\(234\) −13.5887 + 59.5361i −0.00379625 + 0.0166325i
\(235\) −217.618 953.447i −0.0604078 0.264664i
\(236\) −1238.09 + 1552.52i −0.341495 + 0.428222i
\(237\) 364.916 457.590i 0.100016 0.125416i
\(238\) 143.843 + 630.217i 0.0391763 + 0.171642i
\(239\) −211.945 + 928.592i −0.0573623 + 0.251321i −0.995477 0.0950046i \(-0.969713\pi\)
0.938115 + 0.346325i \(0.112571\pi\)
\(240\) −306.257 + 384.034i −0.0823700 + 0.103289i
\(241\) −2483.93 1196.20i −0.663917 0.319726i 0.0714012 0.997448i \(-0.477253\pi\)
−0.735318 + 0.677722i \(0.762967\pi\)
\(242\) −1762.18 848.621i −0.468087 0.225419i
\(243\) −150.762 + 660.533i −0.0398001 + 0.174375i
\(244\) 2048.69 + 2568.98i 0.537516 + 0.674024i
\(245\) −4404.95 + 2121.31i −1.14866 + 0.553166i
\(246\) −1794.11 2249.75i −0.464994 0.583084i
\(247\) −274.839 1204.15i −0.0708000 0.310195i
\(248\) 2308.13 + 1111.54i 0.590994 + 0.284608i
\(249\) −1211.33 5307.20i −0.308294 1.35072i
\(250\) −2109.38 + 1015.82i −0.533636 + 0.256986i
\(251\) −725.383 −0.182413 −0.0912067 0.995832i \(-0.529072\pi\)
−0.0912067 + 0.995832i \(0.529072\pi\)
\(252\) 412.898 0.103215
\(253\) 313.920 151.176i 0.0780078 0.0375666i
\(254\) 75.5731 331.107i 0.0186688 0.0817934i
\(255\) 368.962 462.664i 0.0906090 0.113620i
\(256\) −2167.97 2718.55i −0.529290 0.663708i
\(257\) −3866.44 −0.938452 −0.469226 0.883078i \(-0.655467\pi\)
−0.469226 + 0.883078i \(0.655467\pi\)
\(258\) −2372.09 333.502i −0.572403 0.0804764i
\(259\) 12043.2 2.88931
\(260\) 452.416 + 567.312i 0.107914 + 0.135320i
\(261\) 379.591 475.992i 0.0900233 0.112886i
\(262\) −219.403 + 961.269i −0.0517358 + 0.226669i
\(263\) −1149.38 + 553.513i −0.269483 + 0.129776i −0.563746 0.825948i \(-0.690640\pi\)
0.294263 + 0.955725i \(0.404926\pi\)
\(264\) −1043.39 −0.243243
\(265\) −3907.08 −0.905699
\(266\) 3327.23 1602.31i 0.766939 0.369338i
\(267\) −227.571 997.056i −0.0521616 0.228535i
\(268\) −3361.51 1618.82i −0.766182 0.368974i
\(269\) 156.293 + 684.764i 0.0354251 + 0.155207i 0.989547 0.144211i \(-0.0460645\pi\)
−0.954122 + 0.299419i \(0.903207\pi\)
\(270\) −1057.71 1326.33i −0.238409 0.298955i
\(271\) −5776.87 + 2781.99i −1.29491 + 0.623594i −0.949178 0.314740i \(-0.898083\pi\)
−0.345729 + 0.938335i \(0.612368\pi\)
\(272\) −93.3159 117.014i −0.0208019 0.0260847i
\(273\) 597.319 2617.03i 0.132423 0.580182i
\(274\) −2539.09 1222.76i −0.559824 0.269597i
\(275\) 481.843 + 232.043i 0.105659 + 0.0508827i
\(276\) −720.960 + 904.055i −0.157234 + 0.197166i
\(277\) −464.882 + 2036.78i −0.100838 + 0.441799i 0.899154 + 0.437633i \(0.144183\pi\)
−0.999991 + 0.00416584i \(0.998674\pi\)
\(278\) 475.483 + 2083.23i 0.102581 + 0.449438i
\(279\) −182.310 + 228.610i −0.0391206 + 0.0490556i
\(280\) −3303.60 + 4142.58i −0.705099 + 0.884167i
\(281\) 754.488 + 3305.63i 0.160174 + 0.701769i 0.989683 + 0.143275i \(0.0457635\pi\)
−0.829509 + 0.558494i \(0.811379\pi\)
\(282\) −227.545 + 996.939i −0.0480500 + 0.210521i
\(283\) 4262.75 5345.32i 0.895386 1.12278i −0.0964599 0.995337i \(-0.530752\pi\)
0.991846 0.127442i \(-0.0406766\pi\)
\(284\) 2088.86 + 1005.94i 0.436447 + 0.210182i
\(285\) −3045.91 1466.84i −0.633068 0.304870i
\(286\) −50.8721 + 222.885i −0.0105179 + 0.0460821i
\(287\) 6491.29 + 8139.82i 1.33508 + 1.67414i
\(288\) 408.437 196.693i 0.0835673 0.0402439i
\(289\) −2950.78 3700.17i −0.600607 0.753138i
\(290\) 711.851 + 3118.82i 0.144142 + 0.631529i
\(291\) 2353.29 + 1133.29i 0.474063 + 0.228297i
\(292\) −1138.84 4989.60i −0.228239 0.999981i
\(293\) −6139.73 + 2956.74i −1.22419 + 0.589538i −0.930475 0.366356i \(-0.880605\pi\)
−0.293713 + 0.955894i \(0.594891\pi\)
\(294\) 5112.15 1.01410
\(295\) 2908.51 0.574033
\(296\) 7490.01 3607.00i 1.47077 0.708285i
\(297\) −268.955 + 1178.37i −0.0525466 + 0.230222i
\(298\) 59.6724 74.8268i 0.0115998 0.0145456i
\(299\) 385.795 + 483.772i 0.0746191 + 0.0935694i
\(300\) −1774.88 −0.341575
\(301\) 8582.49 + 1206.64i 1.64348 + 0.231063i
\(302\) −3119.90 −0.594470
\(303\) 4634.24 + 5811.15i 0.878648 + 1.10179i
\(304\) −533.104 + 668.491i −0.100578 + 0.126120i
\(305\) 1070.94 4692.08i 0.201055 0.880879i
\(306\) −45.8868 + 22.0979i −0.00857246 + 0.00412828i
\(307\) 1604.28 0.298244 0.149122 0.988819i \(-0.452355\pi\)
0.149122 + 0.988819i \(0.452355\pi\)
\(308\) 1545.77 0.285969
\(309\) −4022.97 + 1937.36i −0.740643 + 0.356675i
\(310\) −341.889 1497.91i −0.0626386 0.274438i
\(311\) 2088.68 + 1005.86i 0.380831 + 0.183398i 0.614498 0.788918i \(-0.289358\pi\)
−0.233668 + 0.972317i \(0.575073\pi\)
\(312\) −412.321 1806.50i −0.0748176 0.327797i
\(313\) −2731.49 3425.19i −0.493269 0.618540i 0.471427 0.881905i \(-0.343739\pi\)
−0.964696 + 0.263365i \(0.915168\pi\)
\(314\) 729.558 351.336i 0.131119 0.0631435i
\(315\) −377.067 472.827i −0.0674455 0.0845740i
\(316\) −133.187 + 583.530i −0.0237100 + 0.103880i
\(317\) −8384.81 4037.91i −1.48561 0.715431i −0.497254 0.867605i \(-0.665658\pi\)
−0.988354 + 0.152174i \(0.951373\pi\)
\(318\) 3680.73 + 1772.55i 0.649073 + 0.312577i
\(319\) 1421.08 1781.97i 0.249420 0.312763i
\(320\) −368.844 + 1616.01i −0.0644344 + 0.282306i
\(321\) −2337.09 10239.5i −0.406367 1.78041i
\(322\) −1153.51 + 1446.46i −0.199636 + 0.250335i
\(323\) 642.255 805.362i 0.110638 0.138735i
\(324\) −973.297 4264.29i −0.166889 0.731189i
\(325\) −211.341 + 925.947i −0.0360711 + 0.158038i
\(326\) −1514.04 + 1898.54i −0.257223 + 0.322548i
\(327\) −8628.80 4155.41i −1.45925 0.702736i
\(328\) 6475.01 + 3118.20i 1.09001 + 0.524920i
\(329\) 823.282 3607.03i 0.137960 0.604444i
\(330\) 390.156 + 489.241i 0.0650830 + 0.0816115i
\(331\) 4670.12 2249.01i 0.775508 0.373465i −0.00389151 0.999992i \(-0.501239\pi\)
0.779399 + 0.626528i \(0.215524\pi\)
\(332\) 3470.96 + 4352.45i 0.573776 + 0.719493i
\(333\) 211.142 + 925.074i 0.0347463 + 0.152233i
\(334\) −3732.47 1797.46i −0.611472 0.294470i
\(335\) 1216.02 + 5327.74i 0.198324 + 0.868912i
\(336\) −1674.25 + 806.276i −0.271839 + 0.130911i
\(337\) 3000.12 0.484947 0.242474 0.970158i \(-0.422041\pi\)
0.242474 + 0.970158i \(0.422041\pi\)
\(338\) 3034.93 0.488397
\(339\) 9457.77 4554.62i 1.51527 0.729714i
\(340\) −134.664 + 590.000i −0.0214799 + 0.0941095i
\(341\) −682.516 + 855.848i −0.108388 + 0.135914i
\(342\) 181.411 + 227.482i 0.0286829 + 0.0359673i
\(343\) −7953.52 −1.25204
\(344\) 5699.07 1820.04i 0.893236 0.285262i
\(345\) 1693.67 0.264301
\(346\) 1987.55 + 2492.31i 0.308819 + 0.387247i
\(347\) 5704.16 7152.79i 0.882465 1.10658i −0.111156 0.993803i \(-0.535455\pi\)
0.993621 0.112773i \(-0.0359732\pi\)
\(348\) −1683.18 + 7374.50i −0.259276 + 1.13596i
\(349\) −1888.74 + 909.568i −0.289690 + 0.139507i −0.573085 0.819496i \(-0.694254\pi\)
0.283395 + 0.959003i \(0.408539\pi\)
\(350\) −2839.75 −0.433688
\(351\) −2146.48 −0.326412
\(352\) 1529.07 736.360i 0.231533 0.111500i
\(353\) −71.0078 311.105i −0.0107064 0.0469078i 0.969293 0.245910i \(-0.0790869\pi\)
−0.979999 + 0.199003i \(0.936230\pi\)
\(354\) −2740.01 1319.52i −0.411384 0.198112i
\(355\) −755.642 3310.68i −0.112973 0.494966i
\(356\) 652.084 + 817.687i 0.0970797 + 0.121734i
\(357\) 2017.05 971.358i 0.299029 0.144005i
\(358\) 3497.73 + 4386.01i 0.516371 + 0.647508i
\(359\) −2027.77 + 8884.25i −0.298111 + 1.30611i 0.574827 + 0.818275i \(0.305069\pi\)
−0.872937 + 0.487833i \(0.837788\pi\)
\(360\) −376.122 181.131i −0.0550648 0.0265178i
\(361\) 877.701 + 422.679i 0.127963 + 0.0616240i
\(362\) −139.198 + 174.549i −0.0202102 + 0.0253428i
\(363\) −1507.30 + 6603.91i −0.217941 + 0.954863i
\(364\) 610.849 + 2676.30i 0.0879593 + 0.385375i
\(365\) −4673.79 + 5860.74i −0.670239 + 0.840453i
\(366\) −3137.58 + 3934.40i −0.448098 + 0.561897i
\(367\) 606.799 + 2658.56i 0.0863069 + 0.378135i 0.999573 0.0292288i \(-0.00930514\pi\)
−0.913266 + 0.407364i \(0.866448\pi\)
\(368\) 95.3176 417.614i 0.0135021 0.0591565i
\(369\) −511.436 + 641.321i −0.0721526 + 0.0904765i
\(370\) −4492.06 2163.26i −0.631165 0.303953i
\(371\) −13317.3 6413.27i −1.86361 0.897467i
\(372\) 808.401 3541.83i 0.112671 0.493644i
\(373\) −8260.99 10359.0i −1.14675 1.43798i −0.880481 0.474081i \(-0.842781\pi\)
−0.266269 0.963899i \(-0.585791\pi\)
\(374\) −171.786 + 82.7280i −0.0237510 + 0.0114379i
\(375\) 5055.49 + 6339.38i 0.696171 + 0.872971i
\(376\) −568.300 2489.88i −0.0779463 0.341505i
\(377\) 3646.83 + 1756.22i 0.498200 + 0.239920i
\(378\) −1428.11 6256.98i −0.194323 0.851387i
\(379\) −7909.54 + 3809.04i −1.07199 + 0.516245i −0.884749 0.466068i \(-0.845670\pi\)
−0.187246 + 0.982313i \(0.559956\pi\)
\(380\) 3457.28 0.466724
\(381\) −1176.21 −0.158160
\(382\) 866.337 417.206i 0.116036 0.0558799i
\(383\) 2479.14 10861.8i 0.330752 1.44912i −0.486925 0.873444i \(-0.661881\pi\)
0.817677 0.575677i \(-0.195262\pi\)
\(384\) −3984.00 + 4995.78i −0.529448 + 0.663906i
\(385\) −1411.63 1770.13i −0.186865 0.234322i
\(386\) 394.058 0.0519613
\(387\) 57.7825 + 680.399i 0.00758979 + 0.0893711i
\(388\) −2671.12 −0.349499
\(389\) 7278.57 + 9127.04i 0.948684 + 1.18961i 0.981753 + 0.190159i \(0.0609004\pi\)
−0.0330692 + 0.999453i \(0.510528\pi\)
\(390\) −692.878 + 868.842i −0.0899622 + 0.112809i
\(391\) −114.833 + 503.118i −0.0148526 + 0.0650736i
\(392\) −11503.3 + 5539.71i −1.48216 + 0.713770i
\(393\) 3414.76 0.438300
\(394\) 3204.58 0.409758
\(395\) 789.854 380.374i 0.100612 0.0484523i
\(396\) 27.1004 + 118.735i 0.00343901 + 0.0150673i
\(397\) −8957.89 4313.89i −1.13245 0.545360i −0.228734 0.973489i \(-0.573459\pi\)
−0.903718 + 0.428129i \(0.859173\pi\)
\(398\) 210.132 + 920.650i 0.0264648 + 0.115950i
\(399\) −7974.27 9999.42i −1.00053 1.25463i
\(400\) 592.377 285.274i 0.0740471 0.0356592i
\(401\) 3045.65 + 3819.13i 0.379283 + 0.475606i 0.934430 0.356146i \(-0.115909\pi\)
−0.555147 + 0.831752i \(0.687338\pi\)
\(402\) 1271.49 5570.77i 0.157752 0.691156i
\(403\) −1751.50 843.480i −0.216498 0.104260i
\(404\) −6848.35 3297.99i −0.843362 0.406142i
\(405\) −3994.39 + 5008.80i −0.490081 + 0.614542i
\(406\) −2693.04 + 11799.0i −0.329195 + 1.44230i
\(407\) 790.453 + 3463.20i 0.0962685 + 0.421780i
\(408\) 963.528 1208.23i 0.116916 0.146608i
\(409\) 6676.27 8371.78i 0.807140 1.01212i −0.192385 0.981319i \(-0.561622\pi\)
0.999525 0.0308023i \(-0.00980622\pi\)
\(410\) −959.101 4202.10i −0.115528 0.506163i
\(411\) −2171.83 + 9515.43i −0.260654 + 1.14200i
\(412\) 2847.04 3570.07i 0.340445 0.426905i
\(413\) 9913.64 + 4774.16i 1.18116 + 0.568816i
\(414\) −131.330 63.2451i −0.0155906 0.00750803i
\(415\) 1814.42 7949.49i 0.214618 0.940301i
\(416\) 1879.16 + 2356.39i 0.221475 + 0.277721i
\(417\) 6667.49 3210.89i 0.782994 0.377070i
\(418\) 679.148 + 851.624i 0.0794694 + 0.0996515i
\(419\) 1129.71 + 4949.58i 0.131718 + 0.577095i 0.997108 + 0.0759960i \(0.0242136\pi\)
−0.865390 + 0.501099i \(0.832929\pi\)
\(420\) 6769.75 + 3260.14i 0.786501 + 0.378759i
\(421\) 834.142 + 3654.61i 0.0965643 + 0.423076i 0.999984 0.00568168i \(-0.00180854\pi\)
−0.903420 + 0.428758i \(0.858951\pi\)
\(422\) 6137.70 2955.76i 0.708006 0.340958i
\(423\) 291.500 0.0335064
\(424\) −10203.2 −1.16865
\(425\) −713.664 + 343.683i −0.0814536 + 0.0392260i
\(426\) −790.111 + 3461.70i −0.0898615 + 0.393709i
\(427\) 11352.1 14235.1i 1.28657 1.61331i
\(428\) 6696.72 + 8397.42i 0.756304 + 0.948375i
\(429\) 791.767 0.0891069
\(430\) −2984.47 1991.70i −0.334707 0.223368i
\(431\) −472.408 −0.0527960 −0.0263980 0.999652i \(-0.508404\pi\)
−0.0263980 + 0.999652i \(0.508404\pi\)
\(432\) 926.468 + 1161.75i 0.103182 + 0.129386i
\(433\) 311.817 391.006i 0.0346073 0.0433962i −0.764227 0.644948i \(-0.776879\pi\)
0.798834 + 0.601552i \(0.205451\pi\)
\(434\) 1293.42 5666.83i 0.143055 0.626766i
\(435\) 9981.97 4807.06i 1.10023 0.529841i
\(436\) 9794.17 1.07582
\(437\) 2948.18 0.322724
\(438\) 7061.90 3400.83i 0.770390 0.371000i
\(439\) 3363.01 + 14734.3i 0.365622 + 1.60189i 0.738661 + 0.674078i \(0.235459\pi\)
−0.373039 + 0.927816i \(0.621684\pi\)
\(440\) −1408.09 678.099i −0.152563 0.0734707i
\(441\) −324.277 1420.75i −0.0350153 0.153412i
\(442\) −211.119 264.734i −0.0227192 0.0284890i
\(443\) 7833.16 3772.25i 0.840101 0.404571i 0.0362070 0.999344i \(-0.488472\pi\)
0.803894 + 0.594773i \(0.202758\pi\)
\(444\) −7350.33 9217.02i −0.785656 0.985181i
\(445\) 340.872 1493.46i 0.0363121 0.159094i
\(446\) −3336.88 1606.96i −0.354273 0.170609i
\(447\) −298.636 143.816i −0.0315995 0.0152175i
\(448\) −3909.81 + 4902.74i −0.412324 + 0.517037i
\(449\) 3443.61 15087.4i 0.361947 1.58579i −0.386302 0.922373i \(-0.626248\pi\)
0.748248 0.663419i \(-0.230895\pi\)
\(450\) −49.7864 218.128i −0.00521545 0.0228504i
\(451\) −1914.66 + 2400.91i −0.199907 + 0.250675i
\(452\) −6693.23 + 8393.04i −0.696511 + 0.873397i
\(453\) 2404.36 + 10534.2i 0.249375 + 1.09258i
\(454\) 2304.52 10096.8i 0.238230 1.04375i
\(455\) 2506.91 3143.56i 0.258298 0.323896i
\(456\) −7954.27 3830.57i −0.816870 0.393384i
\(457\) −6609.80 3183.11i −0.676572 0.325820i 0.0638528 0.997959i \(-0.479661\pi\)
−0.740424 + 0.672140i \(0.765375\pi\)
\(458\) 754.771 3306.87i 0.0770046 0.337379i
\(459\) −1116.16 1399.62i −0.113503 0.142328i
\(460\) −1560.50 + 751.499i −0.158171 + 0.0761713i
\(461\) −1232.41 1545.39i −0.124509 0.156130i 0.715670 0.698439i \(-0.246122\pi\)
−0.840179 + 0.542309i \(0.817550\pi\)
\(462\) 526.786 + 2308.00i 0.0530482 + 0.232419i
\(463\) −6887.37 3316.78i −0.691325 0.332925i 0.0550187 0.998485i \(-0.482478\pi\)
−0.746344 + 0.665561i \(0.768192\pi\)
\(464\) −623.521 2731.83i −0.0623842 0.273323i
\(465\) −4794.15 + 2308.74i −0.478115 + 0.230248i
\(466\) 4023.36 0.399954
\(467\) −4008.28 −0.397176 −0.198588 0.980083i \(-0.563635\pi\)
−0.198588 + 0.980083i \(0.563635\pi\)
\(468\) −194.865 + 93.8418i −0.0192470 + 0.00926889i
\(469\) −4600.39 + 20155.6i −0.452935 + 1.98444i
\(470\) −954.990 + 1197.52i −0.0937243 + 0.117527i
\(471\) −1748.51 2192.56i −0.171055 0.214496i
\(472\) 7595.43 0.740695
\(473\) 216.321 + 2547.21i 0.0210284 + 0.247613i
\(474\) −916.662 −0.0888263
\(475\) 2821.43 + 3537.96i 0.272539 + 0.341753i
\(476\) −1427.45 + 1789.97i −0.137452 + 0.172360i
\(477\) 259.142 1135.37i 0.0248748 0.108984i
\(478\) 1344.03 647.249i 0.128607 0.0619340i
\(479\) −10236.8 −0.976473 −0.488236 0.872711i \(-0.662360\pi\)
−0.488236 + 0.872711i \(0.662360\pi\)
\(480\) 8249.65 0.784465
\(481\) −5683.73 + 2737.14i −0.538785 + 0.259465i
\(482\) 960.829 + 4209.67i 0.0907978 + 0.397811i
\(483\) 5772.86 + 2780.06i 0.543839 + 0.261899i
\(484\) −1541.44 6753.49i −0.144763 0.634250i
\(485\) 2439.32 + 3058.81i 0.228379 + 0.286378i
\(486\) 956.043 460.406i 0.0892325 0.0429721i
\(487\) 2530.04 + 3172.57i 0.235415 + 0.295201i 0.885480 0.464678i \(-0.153830\pi\)
−0.650065 + 0.759879i \(0.725258\pi\)
\(488\) 2796.71 12253.2i 0.259428 1.13663i
\(489\) 7577.14 + 3648.96i 0.700716 + 0.337447i
\(490\) 6899.01 + 3322.39i 0.636052 + 0.306306i
\(491\) −2422.18 + 3037.32i −0.222630 + 0.279170i −0.880585 0.473888i \(-0.842850\pi\)
0.657955 + 0.753057i \(0.271422\pi\)
\(492\) 2267.81 9935.92i 0.207806 0.910459i
\(493\) 751.185 + 3291.16i 0.0686241 + 0.300662i
\(494\) −1206.10 + 1512.40i −0.109848 + 0.137745i
\(495\) 111.219 139.465i 0.0100989 0.0126636i
\(496\) 299.466 + 1312.05i 0.0271097 + 0.118775i
\(497\) 2858.71 12524.8i 0.258009 1.13041i
\(498\) −5315.79 + 6665.79i −0.478326 + 0.599802i
\(499\) 7213.05 + 3473.62i 0.647095 + 0.311625i 0.728489 0.685057i \(-0.240223\pi\)
−0.0813939 + 0.996682i \(0.525937\pi\)
\(500\) −7470.86 3597.78i −0.668214 0.321795i
\(501\) −3192.61 + 13987.7i −0.284701 + 1.24736i
\(502\) 708.340 + 888.231i 0.0629777 + 0.0789715i
\(503\) −2853.70 + 1374.27i −0.252962 + 0.121820i −0.556068 0.831137i \(-0.687691\pi\)
0.303106 + 0.952957i \(0.401976\pi\)
\(504\) −984.694 1234.77i −0.0870273 0.109129i
\(505\) 2477.39 + 10854.1i 0.218301 + 0.956441i
\(506\) −491.660 236.771i −0.0431955 0.0208019i
\(507\) −2338.88 10247.3i −0.204878 0.897630i
\(508\) 1083.73 521.897i 0.0946511 0.0455816i
\(509\) −2437.53 −0.212262 −0.106131 0.994352i \(-0.533846\pi\)
−0.106131 + 0.994352i \(0.533846\pi\)
\(510\) −926.825 −0.0804716
\(511\) −25550.7 + 12304.6i −2.21193 + 1.06521i
\(512\) 885.265 3878.60i 0.0764132 0.334788i
\(513\) −6376.49 + 7995.87i −0.548789 + 0.688160i
\(514\) 3775.61 + 4734.46i 0.323998 + 0.406280i
\(515\) −6688.21 −0.572268
\(516\) −4314.66 7304.86i −0.368105 0.623214i
\(517\) 1091.29 0.0928332
\(518\) −11760.3 14746.9i −0.997525 1.25086i
\(519\) 6883.46 8631.58i 0.582178 0.730028i
\(520\) 617.602 2705.89i 0.0520839 0.228195i
\(521\) −10998.7 + 5296.69i −0.924877 + 0.445397i −0.834810 0.550538i \(-0.814423\pi\)
−0.0900673 + 0.995936i \(0.528708\pi\)
\(522\) −953.525 −0.0799514
\(523\) −18236.1 −1.52468 −0.762340 0.647177i \(-0.775950\pi\)
−0.762340 + 0.647177i \(0.775950\pi\)
\(524\) −3146.28 + 1515.17i −0.262301 + 0.126318i
\(525\) 2188.46 + 9588.27i 0.181928 + 0.797079i
\(526\) 1800.16 + 866.909i 0.149222 + 0.0718613i
\(527\) −360.780 1580.68i −0.0298213 0.130656i
\(528\) −341.744 428.534i −0.0281676 0.0353211i
\(529\) 9631.38 4638.23i 0.791599 0.381214i
\(530\) 3815.29 + 4784.22i 0.312690 + 0.392100i
\(531\) −192.910 + 845.194i −0.0157657 + 0.0690740i
\(532\) 11784.2 + 5674.95i 0.960353 + 0.462482i
\(533\) −4913.50 2366.22i −0.399301 0.192293i
\(534\) −998.670 + 1252.29i −0.0809301 + 0.101483i
\(535\) 3500.66 15337.4i 0.282891 1.23943i
\(536\) 3175.59 + 13913.2i 0.255904 + 1.12119i
\(537\) 12113.6 15190.0i 0.973449 1.22067i
\(538\) 685.872 860.057i 0.0549629 0.0689213i
\(539\) −1214.00 5318.87i −0.0970140 0.425046i
\(540\) 1336.98 5857.69i 0.106545 0.466805i
\(541\) −2666.87 + 3344.15i −0.211937 + 0.265760i −0.876425 0.481539i \(-0.840078\pi\)
0.664488 + 0.747299i \(0.268650\pi\)
\(542\) 9047.69 + 4357.14i 0.717033 + 0.345305i
\(543\) 696.631 + 335.480i 0.0550558 + 0.0265135i
\(544\) −559.340 + 2450.63i −0.0440837 + 0.193143i
\(545\) −8944.24 11215.7i −0.702989 0.881520i
\(546\) −3787.83 + 1824.12i −0.296894 + 0.142977i
\(547\) 6409.86 + 8037.71i 0.501034 + 0.628277i 0.966462 0.256809i \(-0.0826710\pi\)
−0.465428 + 0.885086i \(0.654100\pi\)
\(548\) −2221.03 9730.96i −0.173134 0.758551i
\(549\) 1292.46 + 622.416i 0.100475 + 0.0483863i
\(550\) −186.385 816.608i −0.0144500 0.0633096i
\(551\) 17375.7 8367.68i 1.34343 0.646961i
\(552\) 4422.93 0.341037
\(553\) 3316.58 0.255037
\(554\) 2948.00 1419.68i 0.226080 0.108875i
\(555\) −3842.33 + 16834.3i −0.293870 + 1.28753i
\(556\) −4718.56 + 5916.88i −0.359913 + 0.451316i
\(557\) −12022.4 15075.6i −0.914550 1.14681i −0.988752 0.149567i \(-0.952212\pi\)
0.0742012 0.997243i \(-0.476359\pi\)
\(558\) 457.960 0.0347437
\(559\) −4324.69 + 1381.12i −0.327218 + 0.104500i
\(560\) −2783.45 −0.210040
\(561\) 411.715 + 516.275i 0.0309851 + 0.0388541i
\(562\) 3310.98 4151.84i 0.248515 0.311627i
\(563\) −3310.59 + 14504.6i −0.247823 + 1.08579i 0.685873 + 0.727721i \(0.259420\pi\)
−0.933697 + 0.358065i \(0.883437\pi\)
\(564\) −3263.03 + 1571.39i −0.243614 + 0.117318i
\(565\) 15723.6 1.17079
\(566\) −10707.9 −0.795209
\(567\) −21836.6 + 10515.9i −1.61737 + 0.778885i
\(568\) −1973.33 8645.70i −0.145773 0.638672i
\(569\) 9725.53 + 4683.57i 0.716547 + 0.345071i 0.756377 0.654135i \(-0.226967\pi\)
−0.0398301 + 0.999206i \(0.512682\pi\)
\(570\) 1178.21 + 5162.10i 0.0865789 + 0.379327i
\(571\) 4985.37 + 6251.46i 0.365379 + 0.458170i 0.930206 0.367039i \(-0.119628\pi\)
−0.564827 + 0.825209i \(0.691057\pi\)
\(572\) −729.515 + 351.316i −0.0533261 + 0.0256805i
\(573\) −2076.32 2603.63i −0.151378 0.189822i
\(574\) 3628.43 15897.2i 0.263846 1.15598i
\(575\) −2042.53 983.633i −0.148138 0.0713397i
\(576\) −445.139 214.368i −0.0322005 0.0155069i
\(577\) 7210.91 9042.20i 0.520267 0.652395i −0.450398 0.892828i \(-0.648718\pi\)
0.970666 + 0.240433i \(0.0772895\pi\)
\(578\) −1649.39 + 7226.47i −0.118695 + 0.520037i
\(579\) −303.683 1330.52i −0.0217973 0.0955001i
\(580\) −7064.20 + 8858.22i −0.505732 + 0.634168i
\(581\) 19233.1 24117.6i 1.37336 1.72214i
\(582\) −910.296 3988.27i −0.0648333 0.284053i
\(583\) 970.149 4250.50i 0.0689185 0.301952i
\(584\) −12205.4 + 15305.1i −0.864833 + 1.08447i
\(585\) 285.417 + 137.449i 0.0201718 + 0.00971424i
\(586\) 9616.01 + 4630.83i 0.677873 + 0.326447i
\(587\) −1414.08 + 6195.48i −0.0994297 + 0.435630i 0.900570 + 0.434711i \(0.143150\pi\)
−1.00000 0.000918798i \(0.999708\pi\)
\(588\) 11288.8 + 14155.7i 0.791739 + 0.992810i
\(589\) −8345.21 + 4018.84i −0.583800 + 0.281143i
\(590\) −2840.17 3561.46i −0.198183 0.248514i
\(591\) −2469.62 10820.1i −0.171890 0.753098i
\(592\) 3934.67 + 1894.83i 0.273165 + 0.131549i
\(593\) 4839.31 + 21202.4i 0.335121 + 1.46826i 0.809072 + 0.587710i \(0.199970\pi\)
−0.473950 + 0.880552i \(0.657172\pi\)
\(594\) 1705.55 821.348i 0.117810 0.0567345i
\(595\) 3353.35 0.231049
\(596\) 338.969 0.0232965
\(597\) 2946.59 1419.01i 0.202004 0.0972798i
\(598\) 215.647 944.812i 0.0147466 0.0646091i
\(599\) 6779.96 8501.80i 0.462474 0.579924i −0.494837 0.868986i \(-0.664772\pi\)
0.957310 + 0.289062i \(0.0933435\pi\)
\(600\) 4232.78 + 5307.74i 0.288004 + 0.361146i
\(601\) 16092.5 1.09223 0.546113 0.837712i \(-0.316107\pi\)
0.546113 + 0.837712i \(0.316107\pi\)
\(602\) −6903.31 11687.6i −0.467372 0.791277i
\(603\) −1628.86 −0.110004
\(604\) −6889.46 8639.11i −0.464119 0.581987i
\(605\) −6326.03 + 7932.59i −0.425107 + 0.533067i
\(606\) 2590.39 11349.3i 0.173643 0.760779i
\(607\) 20934.7 10081.6i 1.39986 0.674136i 0.426725 0.904382i \(-0.359667\pi\)
0.973132 + 0.230246i \(0.0739531\pi\)
\(608\) 14360.2 0.957868
\(609\) 41914.1 2.78891
\(610\) −6791.23 + 3270.49i −0.450769 + 0.217079i
\(611\) 431.249 + 1889.43i 0.0285540 + 0.125103i
\(612\) −162.519 78.2648i −0.0107344 0.00516939i
\(613\) 3337.23 + 14621.3i 0.219885 + 0.963378i 0.957563 + 0.288225i \(0.0930651\pi\)
−0.737678 + 0.675153i \(0.764078\pi\)
\(614\) −1566.59 1964.44i −0.102968 0.129118i
\(615\) −13449.1 + 6476.72i −0.881818 + 0.424661i
\(616\) −3686.40 4622.60i −0.241119 0.302354i
\(617\) −448.727 + 1966.00i −0.0292789 + 0.128279i −0.987455 0.157899i \(-0.949528\pi\)
0.958176 + 0.286178i \(0.0923850\pi\)
\(618\) 6300.75 + 3034.28i 0.410119 + 0.197503i
\(619\) −16203.1 7803.01i −1.05211 0.506671i −0.173812 0.984779i \(-0.555609\pi\)
−0.878301 + 0.478107i \(0.841323\pi\)
\(620\) 3392.80 4254.44i 0.219771 0.275584i
\(621\) 1140.10 4995.11i 0.0736726 0.322781i
\(622\) −807.940 3539.82i −0.0520827 0.228189i
\(623\) 3613.29 4530.93i 0.232365 0.291377i
\(624\) 606.903 761.033i 0.0389352 0.0488232i
\(625\) 1061.78 + 4651.97i 0.0679541 + 0.297726i
\(626\) −1526.82 + 6689.43i −0.0974823 + 0.427098i
\(627\) 2352.08 2949.42i 0.149814 0.187860i
\(628\) 2583.90 + 1244.34i 0.164186 + 0.0790677i
\(629\) −4740.27 2282.80i −0.300488 0.144708i
\(630\) −210.769 + 923.438i −0.0133289 + 0.0583978i
\(631\) −4677.80 5865.78i −0.295119 0.370068i 0.612061 0.790811i \(-0.290341\pi\)
−0.907180 + 0.420743i \(0.861769\pi\)
\(632\) 2062.67 993.329i 0.129824 0.0625198i
\(633\) −14710.0 18445.8i −0.923651 1.15822i
\(634\) 3243.39 + 14210.2i 0.203173 + 0.890159i
\(635\) −1587.33 764.419i −0.0991989 0.0477717i
\(636\) 3219.67 + 14106.3i 0.200736 + 0.879482i
\(637\) 8729.20 4203.76i 0.542957 0.261474i
\(638\) −3569.71 −0.221515
\(639\) 1012.18 0.0626625
\(640\) −8623.30 + 4152.76i −0.532603 + 0.256488i
\(641\) 3929.38 17215.8i 0.242124 1.06081i −0.696956 0.717114i \(-0.745463\pi\)
0.939080 0.343699i \(-0.111680\pi\)
\(642\) −10256.1 + 12860.7i −0.630489 + 0.790609i
\(643\) −8048.28 10092.2i −0.493613 0.618971i 0.471162 0.882047i \(-0.343835\pi\)
−0.964775 + 0.263075i \(0.915263\pi\)
\(644\) −6552.52 −0.400940
\(645\) −4424.87 + 11611.8i −0.270123 + 0.708862i
\(646\) −1613.33 −0.0982595
\(647\) −12488.7 15660.3i −0.758859 0.951579i 0.240961 0.970535i \(-0.422537\pi\)
−0.999820 + 0.0189555i \(0.993966\pi\)
\(648\) −10431.2 + 13080.3i −0.632368 + 0.792965i
\(649\) −722.198 + 3164.15i −0.0436806 + 0.191377i
\(650\) 1340.20 645.406i 0.0808722 0.0389460i
\(651\) −20130.6 −1.21195
\(652\) −8600.48 −0.516597
\(653\) 2833.61 1364.60i 0.169813 0.0817776i −0.347046 0.937848i \(-0.612815\pi\)
0.516859 + 0.856070i \(0.327101\pi\)
\(654\) 3337.77 + 14623.7i 0.199568 + 0.874363i
\(655\) 4608.33 + 2219.26i 0.274905 + 0.132387i
\(656\) 840.093 + 3680.69i 0.0500002 + 0.219065i
\(657\) −1393.10 1746.89i −0.0827246 0.103733i
\(658\) −5220.75 + 2514.18i −0.309310 + 0.148956i
\(659\) −10058.6 12613.0i −0.594576 0.745575i 0.389945 0.920838i \(-0.372494\pi\)
−0.984522 + 0.175263i \(0.943922\pi\)
\(660\) −493.169 + 2160.71i −0.0290857 + 0.127433i
\(661\) 8229.53 + 3963.13i 0.484254 + 0.233204i 0.660049 0.751223i \(-0.270535\pi\)
−0.175796 + 0.984427i \(0.556250\pi\)
\(662\) −7314.32 3522.39i −0.429424 0.206800i
\(663\) −731.165 + 916.851i −0.0428297 + 0.0537067i
\(664\) 4738.27 20759.7i 0.276929 1.21330i
\(665\) −4262.91 18677.0i −0.248584 1.08912i
\(666\) 926.571 1161.88i 0.0539098 0.0676007i
\(667\) −6023.95 + 7553.79i −0.349697 + 0.438507i
\(668\) −3264.92 14304.6i −0.189107 0.828533i
\(669\) −2854.23 + 12505.2i −0.164949 + 0.722690i
\(670\) 5336.36 6691.59i 0.307704 0.385849i
\(671\) 4838.59 + 2330.14i 0.278378 + 0.134060i
\(672\) 28118.9 + 13541.4i 1.61415 + 0.777335i
\(673\) 1138.47 4987.96i 0.0652077 0.285693i −0.931802 0.362966i \(-0.881764\pi\)
0.997010 + 0.0772727i \(0.0246212\pi\)
\(674\) −2929.64 3673.65i −0.167426 0.209946i
\(675\) 7085.47 3412.18i 0.404029 0.194570i
\(676\) 6701.83 + 8403.82i 0.381305 + 0.478142i
\(677\) 1106.55 + 4848.13i 0.0628188 + 0.275227i 0.996576 0.0826795i \(-0.0263478\pi\)
−0.933757 + 0.357907i \(0.883491\pi\)
\(678\) −14812.7 7133.42i −0.839054 0.404067i
\(679\) 3293.55 + 14430.0i 0.186148 + 0.815570i
\(680\) 2085.54 1004.34i 0.117613 0.0566393i
\(681\) −35867.2 −2.01826
\(682\) 1714.47 0.0962614
\(683\) 6830.90 3289.59i 0.382690 0.184294i −0.232641 0.972563i \(-0.574737\pi\)
0.615331 + 0.788269i \(0.289022\pi\)
\(684\) −229.308 + 1004.67i −0.0128185 + 0.0561613i
\(685\) −9115.04 + 11429.9i −0.508420 + 0.637539i
\(686\) 7766.66 + 9739.08i 0.432263 + 0.542041i
\(687\) −11747.2 −0.652375
\(688\) 2614.15 + 1744.56i 0.144860 + 0.0966725i
\(689\) 7742.58 0.428112
\(690\) −1653.88 2073.89i −0.0912492 0.114423i
\(691\) −4772.01 + 5983.91i −0.262714 + 0.329433i −0.895640 0.444779i \(-0.853282\pi\)
0.632926 + 0.774212i \(0.281854\pi\)
\(692\) −2512.32 + 11007.2i −0.138012 + 0.604669i
\(693\) 608.015 292.805i 0.0333284 0.0160501i
\(694\) −14328.7 −0.783734
\(695\) 11084.8 0.604991
\(696\) 26067.5 12553.4i 1.41966 0.683673i
\(697\) −1012.10 4434.29i −0.0550014 0.240977i
\(698\) 2958.13 + 1424.56i 0.160411 + 0.0772498i
\(699\) −3100.62 13584.7i −0.167777 0.735079i
\(700\) −6270.82 7863.36i −0.338592 0.424581i
\(701\) −5354.18 + 2578.44i −0.288480 + 0.138925i −0.572527 0.819886i \(-0.694037\pi\)
0.284047 + 0.958810i \(0.408323\pi\)
\(702\) 2096.05 + 2628.36i 0.112693 + 0.141312i
\(703\) −6688.37 + 29303.7i −0.358829 + 1.57213i
\(704\) −1666.47 802.529i −0.0892151 0.0429637i
\(705\) 4779.34 + 2301.61i 0.255319 + 0.122955i
\(706\) −311.609 + 390.745i −0.0166113 + 0.0208299i
\(707\) −9372.32 + 41062.8i −0.498561 + 2.18434i
\(708\) −2396.78 10501.0i −0.127227 0.557417i
\(709\) −3188.39 + 3998.11i −0.168889 + 0.211780i −0.859072 0.511855i \(-0.828959\pi\)
0.690183 + 0.723635i \(0.257530\pi\)
\(710\) −3316.04 + 4158.19i −0.175280 + 0.219794i
\(711\) 58.1463 + 254.756i 0.00306703 + 0.0134375i
\(712\) 890.172 3900.10i 0.0468548 0.205284i
\(713\) 2893.19 3627.94i 0.151965 0.190558i
\(714\) −3159.08 1521.33i −0.165582 0.0797402i
\(715\) 1068.51 + 514.569i 0.0558884 + 0.0269144i
\(716\) −4421.23 + 19370.7i −0.230767 + 1.01106i
\(717\) −3221.18 4039.24i −0.167779 0.210388i
\(718\) 12858.9 6192.52i 0.668370 0.321870i
\(719\) 22972.1 + 28806.1i 1.19154 + 1.49414i 0.826306 + 0.563221i \(0.190438\pi\)
0.365230 + 0.930917i \(0.380990\pi\)
\(720\) −48.7994 213.804i −0.00252590 0.0110667i
\(721\) −22796.8 10978.4i −1.17753 0.567067i
\(722\) −339.511 1487.49i −0.0175004 0.0766742i
\(723\) 13473.3 6488.39i 0.693052 0.333756i
\(724\) −790.715 −0.0405893
\(725\) −14829.9 −0.759681
\(726\) 9558.37 4603.07i 0.488629 0.235311i
\(727\) 4766.54 20883.6i 0.243165 1.06538i −0.694951 0.719057i \(-0.744574\pi\)
0.938117 0.346319i \(-0.112569\pi\)
\(728\) 6546.68 8209.27i 0.333291 0.417934i
\(729\) 10982.8 + 13772.0i 0.557985 + 0.699692i
\(730\) 11740.5 0.595252
\(731\) −3149.39 2101.75i −0.159349 0.106342i
\(732\) −17823.0 −0.899942
\(733\) −22159.5 27787.1i −1.11662 1.40019i −0.906339 0.422551i \(-0.861135\pi\)
−0.210278 0.977642i \(-0.567437\pi\)
\(734\) 2662.86 3339.12i 0.133907 0.167915i
\(735\) 5901.14 25854.6i 0.296145 1.29750i
\(736\) −6481.72 + 3121.43i −0.324619 + 0.156328i
\(737\) −6097.98 −0.304779
\(738\) 1284.72 0.0640801
\(739\) −4604.99 + 2217.65i −0.229225 + 0.110389i −0.544971 0.838455i \(-0.683459\pi\)
0.315746 + 0.948844i \(0.397745\pi\)
\(740\) −3929.36 17215.6i −0.195197 0.855216i
\(741\) 6036.03 + 2906.80i 0.299243 + 0.144108i
\(742\) 5151.37 + 22569.6i 0.254869 + 1.11665i
\(743\) 23608.3 + 29603.9i 1.16569 + 1.46172i 0.860513 + 0.509428i \(0.170143\pi\)
0.305173 + 0.952297i \(0.401286\pi\)
\(744\) −12519.7 + 6029.18i −0.616929 + 0.297097i
\(745\) −309.553 388.167i −0.0152230 0.0190891i
\(746\) −4617.63 + 20231.2i −0.226627 + 0.992916i
\(747\) 2189.73 + 1054.52i 0.107253 + 0.0516503i
\(748\) −608.421 293.000i −0.0297408 0.0143224i
\(749\) 37107.5 46531.3i 1.81025 2.26998i
\(750\) 2825.86 12380.9i 0.137581 0.602781i
\(751\) −1071.34 4693.86i −0.0520558 0.228071i 0.942208 0.335029i \(-0.108746\pi\)
−0.994264 + 0.106958i \(0.965889\pi\)
\(752\) 836.491 1048.93i 0.0405634 0.0508649i
\(753\) 2453.19 3076.20i 0.118724 0.148875i
\(754\) −1410.66 6180.50i −0.0681342 0.298516i
\(755\) −3601.41 + 15778.8i −0.173601 + 0.760596i
\(756\) 14172.2 17771.4i 0.681796 0.854945i
\(757\) 12020.8 + 5788.91i 0.577151 + 0.277941i 0.699601 0.714533i \(-0.253361\pi\)
−0.122450 + 0.992475i \(0.539075\pi\)
\(758\) 12387.9 + 5965.69i 0.593599 + 0.285862i
\(759\) −420.546 + 1842.53i −0.0201118 + 0.0881156i
\(760\) −8245.05 10339.0i −0.393525 0.493465i
\(761\) 16149.4 7777.14i 0.769271 0.370461i −0.00772262 0.999970i \(-0.502458\pi\)
0.776993 + 0.629509i \(0.216744\pi\)
\(762\) 1148.57 + 1440.27i 0.0546043 + 0.0684716i
\(763\) −12076.4 52910.3i −0.572996 2.51046i
\(764\) 3068.33 + 1477.63i 0.145299 + 0.0699723i
\(765\) 58.7910 + 257.580i 0.00277855 + 0.0121736i
\(766\) −15721.2 + 7570.93i −0.741554 + 0.357113i
\(767\) −5763.73 −0.271338
\(768\) 18860.7 0.886168
\(769\) −4029.92 + 1940.71i −0.188976 + 0.0910060i −0.525979 0.850497i \(-0.676301\pi\)
0.337003 + 0.941504i \(0.390587\pi\)
\(770\) −789.055 + 3457.08i −0.0369293 + 0.161798i
\(771\) 13076.0 16396.8i 0.610792 0.765909i
\(772\) 870.173 + 1091.16i 0.0405676 + 0.0508702i