Properties

Label 43.4.e.a.4.4
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 4.4
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.4

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.976506 + 1.22450i −0.345247 + 0.432926i −0.923892 0.382654i \(-0.875010\pi\)
0.578645 + 0.815580i \(0.303582\pi\)
\(3\) −3.38192 4.24079i −0.650851 0.816141i 0.341462 0.939896i \(-0.389078\pi\)
−0.992313 + 0.123755i \(0.960506\pi\)
\(4\) 1.23433 + 5.40796i 0.154291 + 0.675995i
\(5\) −7.32010 3.52517i −0.654730 0.315301i 0.0768645 0.997042i \(-0.475509\pi\)
−0.731594 + 0.681740i \(0.761223\pi\)
\(6\) 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 −0.995022 0.0996598i \(-0.968225\pi\)
0.939724 + 0.341933i \(0.111082\pi\)
\(12\) 18.7596 23.5238i 0.451287 0.565895i
\(13\) 14.5061 + 6.98577i 0.309482 + 0.149039i 0.582178 0.813062i \(-0.302201\pi\)
−0.272695 + 0.962100i \(0.587915\pi\)
\(14\) 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 −0.345587 0.938387i \(-0.612320\pi\)
0.518190 + 0.855266i \(0.326606\pi\)
\(18\) −2.36481 2.96538i −0.0309662 0.0388303i
\(19\) 17.0702 + 74.7893i 0.206114 + 0.903044i 0.967124 + 0.254304i \(0.0818465\pi\)
−0.761010 + 0.648740i \(0.775296\pi\)
\(20\) 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 −0.921256 0.388957i \(-0.872835\pi\)
0.998785 + 0.0492794i \(0.0156925\pi\)
\(24\) 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 0.0378881 0.999282i \(-0.487937\pi\)
0.965797 0.259299i \(-0.0834916\pi\)
\(30\) −62.1866 29.9475i −0.378455 0.182254i
\(31\) −75.2818 + 94.4004i −0.436162 + 0.546930i −0.950527 0.310642i \(-0.899456\pi\)
0.514365 + 0.857571i \(0.328028\pi\)
\(32\) 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 0.195167 + 0.980770i \(0.437475\pi\)
−0.999609 + 0.0279676i \(0.991096\pi\)
\(42\) −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 0.916207 0.400706i \(-0.131235\pi\)
−0.999334 + 0.0365038i \(0.988378\pi\)
\(48\) 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 0.222113 0.975021i \(-0.428705\pi\)
0.900787 + 0.434261i \(0.142990\pi\)
\(54\) 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 −0.754456 0.656351i \(-0.772099\pi\)
0.0427602 + 0.999085i \(0.486385\pi\)
\(60\) −220.248 + 106.066i −0.473898 + 0.228217i
\(61\) −369.331 463.126i −0.775212 0.972085i 0.224785 0.974408i \(-0.427832\pi\)
−0.999997 + 0.00232292i \(0.999261\pi\)
\(62\) −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 0.906558 + 0.422081i \(0.138700\pi\)
−0.633647 + 0.773623i \(0.718443\pi\)
\(68\) 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 −0.991242 0.132056i \(-0.957842\pi\)
0.835781 0.549063i \(-0.185015\pi\)
\(72\) 32.0362 40.1721i 0.0524375 0.0657545i
\(73\) 831.270 + 400.319i 1.33278 + 0.641832i 0.958396 0.285442i \(-0.0921405\pi\)
0.374382 + 0.927275i \(0.377855\pi\)
\(74\) 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 −0.998626 0.0524102i \(-0.983310\pi\)
0.171119 0.985250i \(-0.445262\pi\)
\(84\) −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 0.706883 0.707330i \(-0.250101\pi\)
−0.846892 + 0.531764i \(0.821529\pi\)
\(90\) 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 0.887377 + 0.461045i \(0.152525\pi\)
−0.999539 + 0.0303687i \(0.990332\pi\)
\(98\) −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 0.869521 + 0.493896i \(0.164428\pi\)
−0.569118 + 0.822256i \(0.692715\pi\)
\(102\) 102.778 49.4953i 0.0997700 0.0480467i
\(103\) 741.673 357.171i 0.709507 0.341681i −0.0440805 0.999028i \(-0.514036\pi\)
0.753588 + 0.657347i \(0.228322\pi\)
\(104\) −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 −0.924282 0.381710i \(-0.875335\pi\)
−0.166468 0.986047i \(-0.553236\pi\)
\(108\) −461.080 578.176i −0.410809 0.515139i
\(109\) 392.896 1721.39i 0.345253 1.51265i −0.442560 0.896739i \(-0.645930\pi\)
0.787813 0.615914i \(-0.211213\pi\)
\(110\) 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 −0.982867 0.184319i \(-0.940992\pi\)
−0.468701 + 0.883357i \(0.655278\pi\)
\(114\) 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 −0.732352 0.680926i \(-0.761577\pi\)
0.826818 + 0.562470i \(0.190149\pi\)
\(128\) 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 −0.895302 0.445460i \(-0.853040\pi\)
0.633514 + 0.773731i \(0.281612\pi\)
\(132\) 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 0.864657 0.502362i \(-0.167536\pi\)
0.146342 + 0.989234i \(0.453250\pi\)
\(138\) 72.6502 318.301i 0.0448145 0.196345i
\(139\) −1229.22 + 591.960i −0.750078 + 0.361218i −0.769545 0.638592i \(-0.779517\pi\)
0.0194676 + 0.999810i \(0.493803\pi\)
\(140\) −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 −0.971052 0.238868i \(-0.923224\pi\)
0.978529 + 0.206112i \(0.0660810\pi\)
\(150\) −312.451 391.801i −0.170077 0.213269i
\(151\) 1242.01 + 1557.43i 0.669358 + 0.839349i 0.994326 0.106376i \(-0.0339248\pi\)
−0.324968 + 0.945725i \(0.605353\pi\)
\(152\) 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 0.937232 0.348706i \(-0.113379\pi\)
−0.995715 + 0.0924771i \(0.970522\pi\)
\(158\) 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 0.821863 + 0.569686i \(0.192935\pi\)
−0.987650 + 0.156676i \(0.949922\pi\)
\(164\) −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 0.894999 0.446068i \(-0.147176\pi\)
0.209273 + 0.977857i \(0.432890\pi\)
\(168\) −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 −0.981023 0.193890i \(-0.937889\pi\)
0.967997 + 0.250961i \(0.0807466\pi\)
\(182\) 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 0.942436 0.334388i \(-0.108530\pi\)
−0.994191 + 0.107634i \(0.965672\pi\)
\(192\) 246.246 1078.88i 0.0925588 0.405527i
\(193\) −156.872 196.711i −0.0585071 0.0733656i 0.751717 0.659486i \(-0.229226\pi\)
−0.810224 + 0.586120i \(0.800655\pi\)
\(194\) −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 0.495659 0.868517i \(-0.334927\pi\)
−0.957036 + 0.289969i \(0.906355\pi\)
\(198\) 30.9813 14.9198i 0.0111199 0.00535507i
\(199\) −543.233 + 261.607i −0.193512 + 0.0931902i −0.528130 0.849163i \(-0.677107\pi\)
0.334619 + 0.942354i \(0.391392\pi\)
\(200\) 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 −0.844861 0.534986i \(-0.820317\pi\)
0.529071 0.848577i \(-0.322540\pi\)
\(212\) 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 0.725509 0.688213i \(-0.241604\pi\)
−0.0857191 + 0.996319i \(0.527319\pi\)
\(224\) −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 0.402672 0.915344i \(-0.368081\pi\)
0.802792 0.596260i \(-0.203347\pi\)
\(228\) 2079.56 + 1001.46i 0.604045 + 0.290893i
\(229\) 1350.29 1693.21i 0.389650 0.488606i −0.547857 0.836572i \(-0.684556\pi\)
0.937507 + 0.347966i \(0.113128\pi\)
\(230\) −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 0.503897 0.863764i \(-0.331899\pi\)
−0.954235 + 0.299058i \(0.903328\pi\)
\(234\) −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 0.938115 0.346325i \(-0.112571\pi\)
−0.995477 + 0.0950046i \(0.969713\pi\)
\(240\) −306.257 384.034i −0.0823700 0.103289i
\(241\) −2483.93 + 1196.20i −0.663917 + 0.319726i −0.735318 0.677722i \(-0.762967\pi\)
0.0714012 + 0.997448i \(0.477253\pi\)
\(242\) −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 0.294263 0.955725i \(-0.404926\pi\)
−0.563746 + 0.825948i \(0.690640\pi\)
\(264\) −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 −0.954122 0.299419i \(-0.903207\pi\)
0.989547 + 0.144211i \(0.0460645\pi\)
\(270\) −1057.71 + 1326.33i −0.238409 + 0.298955i
\(271\) −5776.87 2781.99i −1.29491 0.623594i −0.345729 0.938335i \(-0.612368\pi\)
−0.949178 + 0.314740i \(0.898083\pi\)
\(272\) −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 −0.999991 0.00416584i \(-0.998674\pi\)
0.899154 0.437633i \(-0.144183\pi\)
\(278\) 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 −0.829509 0.558494i \(-0.811379\pi\)
0.989683 0.143275i \(-0.0457635\pi\)
\(282\) −227.545 996.939i −0.0480500 0.210521i
\(283\) 4262.75 + 5345.32i 0.895386 + 1.12278i 0.991846 + 0.127442i \(0.0406766\pi\)
−0.0964599 + 0.995337i \(0.530752\pi\)
\(284\) 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 −0.293713 0.955894i \(-0.594891\pi\)
−0.930475 + 0.366356i \(0.880605\pi\)
\(294\) 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 −0.233668 0.972317i \(-0.575073\pi\)
0.614498 + 0.788918i \(0.289358\pi\)
\(312\) −412.321 + 1806.50i −0.0748176 + 0.327797i
\(313\) −2731.49 + 3425.19i −0.493269 + 0.618540i −0.964696 0.263365i \(-0.915168\pi\)
0.471427 + 0.881905i \(0.343739\pi\)
\(314\) 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 −0.988354 0.152174i \(-0.951373\pi\)
−0.497254 + 0.867605i \(0.665658\pi\)
\(318\) 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 0.779399 0.626528i \(-0.215524\pi\)
−0.00389151 + 0.999992i \(0.501239\pi\)
\(332\) 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 0.993621 + 0.112773i \(0.0359732\pi\)
−0.111156 + 0.993803i \(0.535455\pi\)
\(348\) −1683.18 7374.50i −0.259276 1.13596i
\(349\) −1888.74 909.568i −0.289690 0.139507i 0.283395 0.959003i \(-0.408539\pi\)
−0.573085 + 0.819496i \(0.694254\pi\)
\(350\) −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 −0.979999 0.199003i \(-0.936230\pi\)
0.969293 + 0.245910i \(0.0790869\pi\)
\(354\) −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 −0.872937 0.487833i \(-0.837788\pi\)
0.574827 0.818275i \(-0.305069\pi\)
\(360\) −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 −0.913266 0.407364i \(-0.866448\pi\)
0.999573 + 0.0292288i \(0.00930514\pi\)
\(368\) 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 −0.266269 + 0.963899i \(0.585791\pi\)
−0.880481 + 0.474081i \(0.842781\pi\)
\(374\) −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 −0.187246 0.982313i \(-0.559956\pi\)
−0.884749 + 0.466068i \(0.845670\pi\)
\(380\) 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 0.817677 + 0.575677i \(0.195262\pi\)
−0.486925 + 0.873444i \(0.661881\pi\)
\(384\) −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 −0.0330692 0.999453i \(-0.510528\pi\)
0.981753 0.190159i \(-0.0609004\pi\)
\(390\) −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 −0.903718 0.428129i \(-0.859173\pi\)
−0.228734 + 0.973489i \(0.573459\pi\)
\(398\) 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 −0.555147 0.831752i \(-0.687338\pi\)
0.934430 + 0.356146i \(0.115909\pi\)
\(402\) 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 0.999525 + 0.0308023i \(0.00980622\pi\)
−0.192385 + 0.981319i \(0.561622\pi\)
\(410\) −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 −0.865390 0.501099i \(-0.832929\pi\)
0.997108 0.0759960i \(-0.0242136\pi\)
\(420\) 6769.75 3260.14i 0.786501 0.378759i
\(421\) 834.142 3654.61i 0.0965643 0.423076i −0.903420 0.428758i \(-0.858951\pi\)
0.999984 + 0.00568168i \(0.00180854\pi\)
\(422\) 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 0.798834 0.601552i \(-0.205451\pi\)
−0.764227 + 0.644948i \(0.776879\pi\)
\(434\) 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 −0.373039 0.927816i \(-0.621684\pi\)
0.738661 0.674078i \(-0.235459\pi\)
\(440\) −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 0.803894 0.594773i \(-0.202758\pi\)
0.0362070 + 0.999344i \(0.488472\pi\)
\(444\) −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 0.748248 + 0.663419i \(0.230895\pi\)
−0.386302 + 0.922373i \(0.626248\pi\)
\(450\) −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 −0.740424 0.672140i \(-0.765375\pi\)
0.0638528 + 0.997959i \(0.479661\pi\)
\(458\) 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 −0.840179 0.542309i \(-0.817550\pi\)
0.715670 + 0.698439i \(0.246122\pi\)
\(462\) 526.786 2308.00i 0.0530482 0.232419i
\(463\) −6887.37 + 3316.78i −0.691325 + 0.332925i −0.746344 0.665561i \(-0.768192\pi\)
0.0550187 + 0.998485i \(0.482478\pi\)
\(464\) −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 −0.650065 0.759879i \(-0.725258\pi\)
0.885480 + 0.464678i \(0.153830\pi\)
\(488\) 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 0.657955 0.753057i \(-0.271422\pi\)
−0.880585 + 0.473888i \(0.842850\pi\)
\(492\) 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 −0.0813939 0.996682i \(-0.525937\pi\)
0.728489 + 0.685057i \(0.240223\pi\)
\(500\) −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 0.303106 0.952957i \(-0.401976\pi\)
−0.556068 + 0.831137i \(0.687691\pi\)
\(504\) −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 −0.0900673 0.995936i \(-0.528708\pi\)
−0.834810 + 0.550538i \(0.814423\pi\)
\(522\) −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 0.664488 0.747299i \(-0.268650\pi\)
−0.876425 + 0.481539i \(0.840078\pi\)
\(542\) 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 −0.465428 0.885086i \(-0.654100\pi\)
0.966462 + 0.256809i \(0.0826710\pi\)
\(548\) −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 0.0742012 + 0.997243i \(0.476359\pi\)
−0.988752 + 0.149567i \(0.952212\pi\)
\(558\) 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 −0.933697 0.358065i \(-0.883437\pi\)
0.685873 0.727721i \(-0.259420\pi\)
\(564\) −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 −0.0398301 0.999206i \(-0.512682\pi\)
0.756377 + 0.654135i \(0.226967\pi\)
\(570\) 1178.21 5162.10i 0.0865789 0.379327i
\(571\) 4985.37 6251.46i 0.365379 0.458170i −0.564827 0.825209i \(-0.691057\pi\)
0.930206 + 0.367039i \(0.119628\pi\)
\(572\) −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 0.970666 0.240433i \(-0.0772895\pi\)
−0.450398 + 0.892828i \(0.648718\pi\)
\(578\) −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 −1.00000 0.000918798i \(-0.999708\pi\)
0.900570 0.434711i \(-0.143150\pi\)
\(588\) 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 −0.473950 0.880552i \(-0.657172\pi\)
0.809072 0.587710i \(-0.199970\pi\)
\(594\) 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 0.957310 0.289062i \(-0.0933435\pi\)
−0.494837 + 0.868986i \(0.664772\pi\)
\(600\) 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 0.973132 0.230246i \(-0.0739531\pi\)
0.426725 + 0.904382i \(0.359667\pi\)
\(608\) 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 −0.737678 0.675153i \(-0.764078\pi\)
0.957563 0.288225i \(-0.0930651\pi\)
\(614\) −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 0.958176 0.286178i \(-0.0923850\pi\)
−0.987455 + 0.157899i \(0.949528\pi\)
\(618\) 6300.75 3034.28i 0.410119 0.197503i
\(619\) −16203.1 + 7803.01i −1.05211 + 0.506671i −0.878301 0.478107i \(-0.841323\pi\)
−0.173812 + 0.984779i \(0.555609\pi\)
\(620\) 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 −0.907180 0.420743i \(-0.861769\pi\)
0.612061 + 0.790811i \(0.290341\pi\)
\(632\) 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 0.939080 + 0.343699i \(0.111680\pi\)
−0.696956 + 0.717114i \(0.745463\pi\)
\(642\) −10256.1 12860.7i −0.630489 0.790609i
\(643\) −8048.28 + 10092.2i −0.493613 + 0.618971i −0.964775 0.263075i \(-0.915263\pi\)
0.471162 + 0.882047i \(0.343835\pi\)
\(644\) −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 −0.999820 0.0189555i \(-0.993966\pi\)
0.240961 + 0.970535i \(0.422537\pi\)
\(648\) −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 0.516859 0.856070i \(-0.327101\pi\)
−0.347046 + 0.937848i \(0.612815\pi\)
\(654\) 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 −0.984522 0.175263i \(-0.943922\pi\)
0.389945 + 0.920838i \(0.372494\pi\)
\(660\) −493.169 2160.71i −0.0290857 0.127433i
\(661\) 8229.53 3963.13i 0.484254 0.233204i −0.175796 0.984427i \(-0.556250\pi\)
0.660049 + 0.751223i \(0.270535\pi\)
\(662\) −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 0.997010 0.0772727i \(-0.0246212\pi\)
−0.931802 + 0.362966i \(0.881764\pi\)
\(674\) −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 −0.933757 0.357907i \(-0.883491\pi\)
0.996576 + 0.0826795i \(0.0263478\pi\)
\(678\) −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 0.615331 0.788269i \(-0.289022\pi\)
−0.232641 + 0.972563i \(0.574737\pi\)
\(684\) −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 0.632926 0.774212i \(-0.281854\pi\)
−0.895640 + 0.444779i \(0.853282\pi\)
\(692\) −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 0.284047 0.958810i \(-0.408323\pi\)
−0.572527 + 0.819886i \(0.694037\pi\)
\(702\) 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 0.690183 0.723635i \(-0.257530\pi\)
−0.859072 + 0.511855i \(0.828959\pi\)
\(710\) −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 0.365230 0.930917i \(-0.380990\pi\)
0.826306 0.563221i \(-0.190438\pi\)
\(720\) −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 0.938117 + 0.346319i \(0.112569\pi\)
−0.694951 + 0.719057i \(0.744574\pi\)
\(728\) 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 −0.210278 + 0.977642i \(0.567437\pi\)
−0.906339 + 0.422551i \(0.861135\pi\)
\(734\) 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 0.315746 0.948844i \(-0.397745\pi\)
−0.544971 + 0.838455i \(0.683459\pi\)
\(740\) −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 0.305173 0.952297i \(-0.401286\pi\)
0.860513 0.509428i \(-0.170143\pi\)
\(744\) −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 −0.994264 0.106958i \(-0.965889\pi\)
0.942208 + 0.335029i \(0.108746\pi\)
\(752\) 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 −0.122450 0.992475i \(-0.539075\pi\)
0.699601 + 0.714533i \(0.253361\pi\)
\(758\) 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 0.776993 0.629509i \(-0.216744\pi\)
−0.00772262 + 0.999970i \(0.502458\pi\)
\(762\) 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 0.337003 0.941504i \(-0.390587\pi\)
−0.525979 + 0.850497i \(0.676301\pi\)
\(770\) −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