Properties

Label 177.4.e.b.4.11
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.11

$q$-expansion

\(f(q)\) \(=\) \(q+(2.91566 + 0.317097i) q^{2} +(1.94216 - 2.28649i) q^{3} +(0.587538 + 0.129327i) q^{4} +(-2.37530 - 1.80566i) q^{5} +(6.38771 - 6.05076i) q^{6} +(4.97289 - 12.4810i) q^{7} +(-20.5625 - 6.92833i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(2.91566 + 0.317097i) q^{2} +(1.94216 - 2.28649i) q^{3} +(0.587538 + 0.129327i) q^{4} +(-2.37530 - 1.80566i) q^{5} +(6.38771 - 6.05076i) q^{6} +(4.97289 - 12.4810i) q^{7} +(-20.5625 - 6.92833i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-6.35299 - 6.01788i) q^{10} +(42.3122 - 19.5757i) q^{11} +(1.43680 - 1.09222i) q^{12} +(6.52008 - 39.7708i) q^{13} +(18.4569 - 34.8135i) q^{14} +(-8.74182 + 1.92422i) q^{15} +(-62.1244 - 28.7418i) q^{16} +(-39.4135 - 98.9205i) q^{17} +(-1.42903 - 26.3569i) q^{18} +(62.8249 + 92.6599i) q^{19} +(-1.16206 - 1.36808i) q^{20} +(-18.8795 - 35.6106i) q^{21} +(129.575 - 43.6590i) q^{22} +(-7.14293 + 131.744i) q^{23} +(-55.7772 + 33.5601i) q^{24} +(-31.0594 - 111.866i) q^{25} +(31.6215 - 113.890i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(4.53589 - 6.68994i) q^{28} +(93.3115 - 10.1482i) q^{29} +(-26.0983 + 2.83836i) q^{30} +(-39.7748 + 58.6634i) q^{31} +(-23.2800 - 14.0071i) q^{32} +(37.4175 - 134.766i) q^{33} +(-83.5489 - 300.916i) q^{34} +(-34.3486 + 20.6668i) q^{35} +(0.293131 - 5.40648i) q^{36} +(-211.930 + 71.4074i) q^{37} +(153.794 + 290.086i) q^{38} +(-78.2722 - 92.1492i) q^{39} +(36.3320 + 53.5858i) q^{40} +(24.2399 + 447.079i) q^{41} +(-43.7542 - 109.815i) q^{42} +(269.623 + 124.741i) q^{43} +(27.3917 - 6.02937i) q^{44} +(-12.5783 + 23.7252i) q^{45} +(-62.6018 + 381.854i) q^{46} +(159.010 - 120.876i) q^{47} +(-186.373 + 86.2254i) q^{48} +(117.970 + 111.747i) q^{49} +(-55.0862 - 336.011i) q^{50} +(-302.728 - 102.001i) q^{51} +(8.97422 - 22.5236i) q^{52} +(493.355 - 467.331i) q^{53} +(-63.0402 - 47.9219i) q^{54} +(-135.851 - 29.9031i) q^{55} +(-188.728 + 222.188i) q^{56} +(333.882 + 36.3118i) q^{57} +275.282 q^{58} +(-419.180 - 172.242i) q^{59} -5.38500 q^{60} +(637.323 + 69.3131i) q^{61} +(-134.571 + 158.430i) q^{62} +(-118.090 - 25.9936i) q^{63} +(372.511 + 283.176i) q^{64} +(-87.2995 + 82.6945i) q^{65} +(151.830 - 381.065i) q^{66} +(-513.286 - 172.946i) q^{67} +(-10.3639 - 63.2167i) q^{68} +(287.357 + 272.199i) q^{69} +(-106.702 + 49.3656i) q^{70} +(-379.328 + 288.358i) q^{71} +(-31.5937 + 192.713i) q^{72} +(-89.9427 + 169.650i) q^{73} +(-640.557 + 140.997i) q^{74} +(-316.102 - 146.244i) q^{75} +(24.9286 + 62.5661i) q^{76} +(-33.9108 - 625.448i) q^{77} +(-198.995 - 293.495i) q^{78} +(408.488 + 480.910i) q^{79} +(95.6662 + 180.446i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-71.0919 + 1311.21i) q^{82} +(833.496 - 501.498i) q^{83} +(-6.48703 - 23.3642i) q^{84} +(-84.9975 + 306.133i) q^{85} +(746.572 + 449.198i) q^{86} +(158.022 - 233.065i) q^{87} +(-1005.67 + 109.374i) q^{88} +(-1306.45 + 142.086i) q^{89} +(-44.1972 + 65.1860i) q^{90} +(-463.956 - 279.153i) q^{91} +(-21.2347 + 76.4806i) q^{92} +(56.8841 + 204.878i) q^{93} +(501.949 - 302.013i) q^{94} +(18.0838 - 333.535i) q^{95} +(-77.2406 + 26.0254i) q^{96} +(689.479 + 1300.50i) q^{97} +(308.526 + 363.225i) q^{98} +(-235.469 - 347.291i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.91566 + 0.317097i 1.03084 + 0.112111i 0.607873 0.794034i \(-0.292023\pi\)
0.422967 + 0.906145i \(0.360989\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 0.587538 + 0.129327i 0.0734422 + 0.0161658i
\(5\) −2.37530 1.80566i −0.212453 0.161503i 0.493536 0.869725i \(-0.335704\pi\)
−0.705989 + 0.708223i \(0.749497\pi\)
\(6\) 6.38771 6.05076i 0.434628 0.411702i
\(7\) 4.97289 12.4810i 0.268511 0.673912i −0.731457 0.681887i \(-0.761159\pi\)
0.999968 + 0.00797561i \(0.00253874\pi\)
\(8\) −20.5625 6.92833i −0.908744 0.306192i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −6.35299 6.01788i −0.200899 0.190302i
\(11\) 42.3122 19.5757i 1.15978 0.536573i 0.256892 0.966440i \(-0.417302\pi\)
0.902892 + 0.429867i \(0.141440\pi\)
\(12\) 1.43680 1.09222i 0.0345639 0.0262748i
\(13\) 6.52008 39.7708i 0.139104 0.848494i −0.821426 0.570315i \(-0.806821\pi\)
0.960529 0.278179i \(-0.0897307\pi\)
\(14\) 18.4569 34.8135i 0.352345 0.664592i
\(15\) −8.74182 + 1.92422i −0.150475 + 0.0331221i
\(16\) −62.1244 28.7418i −0.970693 0.449090i
\(17\) −39.4135 98.9205i −0.562305 1.41128i −0.885363 0.464900i \(-0.846090\pi\)
0.323059 0.946379i \(-0.395289\pi\)
\(18\) −1.42903 26.3569i −0.0187125 0.345133i
\(19\) 62.8249 + 92.6599i 0.758581 + 1.11882i 0.989313 + 0.145806i \(0.0465774\pi\)
−0.230733 + 0.973017i \(0.574112\pi\)
\(20\) −1.16206 1.36808i −0.0129922 0.0152956i
\(21\) −18.8795 35.6106i −0.196183 0.370041i
\(22\) 129.575 43.6590i 1.25571 0.423097i
\(23\) −7.14293 + 131.744i −0.0647567 + 1.19437i 0.767897 + 0.640573i \(0.221303\pi\)
−0.832654 + 0.553794i \(0.813180\pi\)
\(24\) −55.7772 + 33.5601i −0.474395 + 0.285434i
\(25\) −31.0594 111.866i −0.248475 0.894926i
\(26\) 31.6215 113.890i 0.238519 0.859067i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 4.53589 6.68994i 0.0306144 0.0451528i
\(29\) 93.3115 10.1482i 0.597500 0.0649820i 0.195628 0.980678i \(-0.437325\pi\)
0.401872 + 0.915696i \(0.368360\pi\)
\(30\) −26.0983 + 2.83836i −0.158829 + 0.0172737i
\(31\) −39.7748 + 58.6634i −0.230444 + 0.339879i −0.925277 0.379292i \(-0.876168\pi\)
0.694833 + 0.719171i \(0.255478\pi\)
\(32\) −23.2800 14.0071i −0.128605 0.0773792i
\(33\) 37.4175 134.766i 0.197380 0.710899i
\(34\) −83.5489 300.916i −0.421427 1.51784i
\(35\) −34.3486 + 20.6668i −0.165885 + 0.0998095i
\(36\) 0.293131 5.40648i 0.00135709 0.0250300i
\(37\) −211.930 + 71.4074i −0.941649 + 0.317279i −0.747929 0.663778i \(-0.768952\pi\)
−0.193720 + 0.981057i \(0.562055\pi\)
\(38\) 153.794 + 290.086i 0.656543 + 1.23837i
\(39\) −78.2722 92.1492i −0.321374 0.378351i
\(40\) 36.3320 + 53.5858i 0.143615 + 0.211816i
\(41\) 24.2399 + 447.079i 0.0923326 + 1.70297i 0.567740 + 0.823208i \(0.307818\pi\)
−0.475407 + 0.879766i \(0.657699\pi\)
\(42\) −43.7542 109.815i −0.160748 0.403448i
\(43\) 269.623 + 124.741i 0.956211 + 0.442390i 0.835008 0.550237i \(-0.185463\pi\)
0.121203 + 0.992628i \(0.461325\pi\)
\(44\) 27.3917 6.02937i 0.0938512 0.0206582i
\(45\) −12.5783 + 23.7252i −0.0416681 + 0.0785943i
\(46\) −62.6018 + 381.854i −0.200655 + 1.22394i
\(47\) 159.010 120.876i 0.493490 0.375141i −0.328627 0.944460i \(-0.606586\pi\)
0.822117 + 0.569318i \(0.192793\pi\)
\(48\) −186.373 + 86.2254i −0.560430 + 0.259282i
\(49\) 117.970 + 111.747i 0.343937 + 0.325794i
\(50\) −55.0862 336.011i −0.155807 0.950383i
\(51\) −302.728 102.001i −0.831183 0.280058i
\(52\) 8.97422 22.5236i 0.0239327 0.0600665i
\(53\) 493.355 467.331i 1.27863 1.21119i 0.313452 0.949604i \(-0.398515\pi\)
0.965181 0.261582i \(-0.0842441\pi\)
\(54\) −63.0402 47.9219i −0.158864 0.120766i
\(55\) −135.851 29.9031i −0.333058 0.0733116i
\(56\) −188.728 + 222.188i −0.450354 + 0.530198i
\(57\) 333.882 + 36.3118i 0.775854 + 0.0843792i
\(58\) 275.282 0.623212
\(59\) −419.180 172.242i −0.924959 0.380068i
\(60\) −5.38500 −0.0115867
\(61\) 637.323 + 69.3131i 1.33772 + 0.145486i 0.748848 0.662742i \(-0.230607\pi\)
0.588871 + 0.808227i \(0.299573\pi\)
\(62\) −134.571 + 158.430i −0.275655 + 0.324526i
\(63\) −118.090 25.9936i −0.236158 0.0519823i
\(64\) 372.511 + 283.176i 0.727561 + 0.553078i
\(65\) −87.2995 + 82.6945i −0.166587 + 0.157800i
\(66\) 151.830 381.065i 0.283167 0.710695i
\(67\) −513.286 172.946i −0.935939 0.315355i −0.190316 0.981723i \(-0.560951\pi\)
−0.745623 + 0.666368i \(0.767848\pi\)
\(68\) −10.3639 63.2167i −0.0184824 0.112738i
\(69\) 287.357 + 272.199i 0.501359 + 0.474912i
\(70\) −106.702 + 49.3656i −0.182190 + 0.0842902i
\(71\) −379.328 + 288.358i −0.634056 + 0.481997i −0.872146 0.489246i \(-0.837272\pi\)
0.238090 + 0.971243i \(0.423479\pi\)
\(72\) −31.5937 + 192.713i −0.0517132 + 0.315436i
\(73\) −89.9427 + 169.650i −0.144205 + 0.272000i −0.945085 0.326826i \(-0.894021\pi\)
0.800879 + 0.598826i \(0.204366\pi\)
\(74\) −640.557 + 140.997i −1.00626 + 0.221495i
\(75\) −316.102 146.244i −0.486671 0.225158i
\(76\) 24.9286 + 62.5661i 0.0376251 + 0.0944319i
\(77\) −33.9108 625.448i −0.0501882 0.925668i
\(78\) −198.995 293.495i −0.288868 0.426049i
\(79\) 408.488 + 480.910i 0.581754 + 0.684893i 0.971774 0.235913i \(-0.0758080\pi\)
−0.390021 + 0.920806i \(0.627532\pi\)
\(80\) 95.6662 + 180.446i 0.133698 + 0.252180i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −71.0919 + 1311.21i −0.0957414 + 1.76585i
\(83\) 833.496 501.498i 1.10227 0.663212i 0.156376 0.987698i \(-0.450019\pi\)
0.945890 + 0.324486i \(0.105191\pi\)
\(84\) −6.48703 23.3642i −0.00842611 0.0303481i
\(85\) −84.9975 + 306.133i −0.108462 + 0.390645i
\(86\) 746.572 + 449.198i 0.936104 + 0.563235i
\(87\) 158.022 233.065i 0.194732 0.287209i
\(88\) −1005.67 + 109.374i −1.21824 + 0.132492i
\(89\) −1306.45 + 142.086i −1.55600 + 0.169225i −0.845308 0.534279i \(-0.820583\pi\)
−0.710691 + 0.703504i \(0.751618\pi\)
\(90\) −44.1972 + 65.1860i −0.0517644 + 0.0763467i
\(91\) −463.956 279.153i −0.534459 0.321573i
\(92\) −21.2347 + 76.4806i −0.0240638 + 0.0866701i
\(93\) 56.8841 + 204.878i 0.0634259 + 0.228439i
\(94\) 501.949 302.013i 0.550767 0.331385i
\(95\) 18.0838 333.535i 0.0195301 0.360211i
\(96\) −77.2406 + 26.0254i −0.0821181 + 0.0276688i
\(97\) 689.479 + 1300.50i 0.721711 + 1.36129i 0.924162 + 0.382000i \(0.124765\pi\)
−0.202451 + 0.979292i \(0.564891\pi\)
\(98\) 308.526 + 363.225i 0.318019 + 0.374401i
\(99\) −235.469 347.291i −0.239046 0.352566i
\(100\) −3.78131 69.7422i −0.00378131 0.0697422i
\(101\) −461.615 1158.57i −0.454777 1.14140i −0.960394 0.278646i \(-0.910114\pi\)
0.505617 0.862758i \(-0.331265\pi\)
\(102\) −850.305 393.393i −0.825419 0.381880i
\(103\) 1770.75 389.772i 1.69396 0.372868i 0.739951 0.672661i \(-0.234849\pi\)
0.954004 + 0.299793i \(0.0969176\pi\)
\(104\) −409.614 + 772.614i −0.386211 + 0.728472i
\(105\) −19.4559 + 118.676i −0.0180829 + 0.110301i
\(106\) 1586.64 1206.14i 1.45385 1.10519i
\(107\) −188.229 + 87.0841i −0.170064 + 0.0786798i −0.503074 0.864243i \(-0.667798\pi\)
0.333010 + 0.942923i \(0.391936\pi\)
\(108\) −11.7925 11.1705i −0.0105068 0.00995260i
\(109\) 140.802 + 858.856i 0.123729 + 0.754711i 0.973692 + 0.227869i \(0.0731757\pi\)
−0.849963 + 0.526842i \(0.823376\pi\)
\(110\) −386.614 130.265i −0.335111 0.112912i
\(111\) −248.329 + 623.259i −0.212345 + 0.532947i
\(112\) −667.665 + 632.445i −0.563289 + 0.533576i
\(113\) −928.634 705.929i −0.773085 0.587684i 0.142507 0.989794i \(-0.454484\pi\)
−0.915591 + 0.402110i \(0.868277\pi\)
\(114\) 961.969 + 211.745i 0.790322 + 0.173963i
\(115\) 254.850 300.033i 0.206652 0.243289i
\(116\) 56.1364 + 6.10520i 0.0449322 + 0.00488667i
\(117\) −362.715 −0.286607
\(118\) −1167.57 635.119i −0.910875 0.495487i
\(119\) −1430.63 −1.10206
\(120\) 193.086 + 20.9993i 0.146885 + 0.0159747i
\(121\) 545.445 642.148i 0.409801 0.482455i
\(122\) 1836.24 + 404.186i 1.36266 + 0.299945i
\(123\) 1069.32 + 812.873i 0.783878 + 0.595889i
\(124\) −30.9559 + 29.3230i −0.0224187 + 0.0212361i
\(125\) −266.263 + 668.271i −0.190523 + 0.478176i
\(126\) −336.068 113.234i −0.237613 0.0800613i
\(127\) 185.295 + 1130.25i 0.129466 + 0.789710i 0.969120 + 0.246588i \(0.0793096\pi\)
−0.839654 + 0.543122i \(0.817242\pi\)
\(128\) 1154.12 + 1093.24i 0.796958 + 0.754918i
\(129\) 808.868 374.222i 0.552069 0.255414i
\(130\) −280.757 + 213.426i −0.189416 + 0.143990i
\(131\) 50.2909 306.761i 0.0335415 0.204594i −0.964739 0.263207i \(-0.915220\pi\)
0.998281 + 0.0586134i \(0.0186679\pi\)
\(132\) 39.4130 74.3407i 0.0259883 0.0490192i
\(133\) 1468.91 323.332i 0.957675 0.210800i
\(134\) −1441.73 667.014i −0.929449 0.430009i
\(135\) 29.8183 + 74.8382i 0.0190100 + 0.0477115i
\(136\) 125.089 + 2307.13i 0.0788696 + 1.45466i
\(137\) −1446.31 2133.14i −0.901943 1.33027i −0.943584 0.331134i \(-0.892569\pi\)
0.0416401 0.999133i \(-0.486742\pi\)
\(138\) 751.522 + 884.760i 0.463578 + 0.545766i
\(139\) −130.698 246.523i −0.0797530 0.150430i 0.840428 0.541923i \(-0.182304\pi\)
−0.920181 + 0.391493i \(0.871959\pi\)
\(140\) −22.8538 + 7.70036i −0.0137964 + 0.00464856i
\(141\) 32.4408 598.336i 0.0193760 0.357369i
\(142\) −1197.43 + 720.469i −0.707648 + 0.425777i
\(143\) −502.662 1810.42i −0.293949 1.05871i
\(144\) −164.813 + 593.603i −0.0953779 + 0.343520i
\(145\) −239.967 144.383i −0.137436 0.0826923i
\(146\) −316.038 + 466.120i −0.179147 + 0.264222i
\(147\) 484.626 52.7062i 0.271913 0.0295724i
\(148\) −133.752 + 14.5464i −0.0742859 + 0.00807907i
\(149\) 1845.13 2721.36i 1.01449 1.49626i 0.153166 0.988200i \(-0.451053\pi\)
0.861323 0.508058i \(-0.169637\pi\)
\(150\) −875.271 526.633i −0.476437 0.286663i
\(151\) −309.990 + 1116.48i −0.167064 + 0.601709i 0.831845 + 0.555008i \(0.187285\pi\)
−0.998909 + 0.0467016i \(0.985129\pi\)
\(152\) −649.863 2340.59i −0.346782 1.24900i
\(153\) −821.168 + 494.081i −0.433905 + 0.261072i
\(154\) 99.4552 1834.34i 0.0520411 0.959842i
\(155\) 200.403 67.5236i 0.103850 0.0349911i
\(156\) −34.0705 64.2638i −0.0174861 0.0329822i
\(157\) −266.030 313.195i −0.135233 0.159208i 0.690377 0.723450i \(-0.257445\pi\)
−0.825610 + 0.564241i \(0.809169\pi\)
\(158\) 1038.52 + 1531.70i 0.522911 + 0.771236i
\(159\) −110.371 2035.68i −0.0550505 1.01535i
\(160\) 30.0050 + 75.3069i 0.0148256 + 0.0372096i
\(161\) 1608.77 + 744.298i 0.787510 + 0.364341i
\(162\) −232.007 + 51.0685i −0.112520 + 0.0247674i
\(163\) 1391.64 2624.91i 0.668721 1.26134i −0.284386 0.958710i \(-0.591790\pi\)
0.953107 0.302632i \(-0.0978655\pi\)
\(164\) −43.5774 + 265.810i −0.0207489 + 0.126563i
\(165\) −332.218 + 252.546i −0.156746 + 0.119155i
\(166\) 2589.21 1197.90i 1.21061 0.560089i
\(167\) −10.6782 10.1149i −0.00494793 0.00468693i 0.685222 0.728335i \(-0.259705\pi\)
−0.690169 + 0.723648i \(0.742464\pi\)
\(168\) 141.489 + 863.047i 0.0649771 + 0.396343i
\(169\) 542.793 + 182.888i 0.247061 + 0.0832445i
\(170\) −344.897 + 865.627i −0.155602 + 0.390533i
\(171\) 731.477 692.892i 0.327120 0.309864i
\(172\) 142.281 + 108.159i 0.0630746 + 0.0479481i
\(173\) 60.8219 + 13.3879i 0.0267295 + 0.00588361i 0.228315 0.973587i \(-0.426678\pi\)
−0.201586 + 0.979471i \(0.564609\pi\)
\(174\) 534.642 629.429i 0.232937 0.274235i
\(175\) −1550.65 168.644i −0.669820 0.0728473i
\(176\) −3191.26 −1.36676
\(177\) −1207.94 + 623.927i −0.512963 + 0.264956i
\(178\) −3854.23 −1.62296
\(179\) 2013.19 + 218.948i 0.840631 + 0.0914241i 0.518296 0.855201i \(-0.326567\pi\)
0.322335 + 0.946626i \(0.395532\pi\)
\(180\) −10.4585 + 12.3127i −0.00433074 + 0.00509854i
\(181\) −1261.62 277.703i −0.518095 0.114041i −0.0517774 0.998659i \(-0.516489\pi\)
−0.466318 + 0.884617i \(0.654420\pi\)
\(182\) −1264.22 961.033i −0.514890 0.391409i
\(183\) 1396.27 1322.61i 0.564016 0.534264i
\(184\) 1059.64 2659.50i 0.424553 1.06555i
\(185\) 632.334 + 213.058i 0.251298 + 0.0846721i
\(186\) 100.888 + 615.392i 0.0397715 + 0.242595i
\(187\) −3604.11 3414.00i −1.40941 1.33506i
\(188\) 109.057 50.4552i 0.0423075 0.0195735i
\(189\) −288.784 + 219.528i −0.111142 + 0.0844883i
\(190\) 158.489 966.740i 0.0605158 0.369130i
\(191\) 1057.85 1995.32i 0.400751 0.755897i −0.598216 0.801335i \(-0.704124\pi\)
0.998967 + 0.0454380i \(0.0144683\pi\)
\(192\) 1370.95 301.770i 0.515313 0.113429i
\(193\) −1583.04 732.391i −0.590412 0.273153i 0.101850 0.994800i \(-0.467524\pi\)
−0.692262 + 0.721646i \(0.743386\pi\)
\(194\) 1597.90 + 4010.43i 0.591354 + 1.48419i
\(195\) 19.5303 + 360.215i 0.00717227 + 0.132285i
\(196\) 54.8600 + 80.9125i 0.0199927 + 0.0294871i
\(197\) −665.533 783.526i −0.240697 0.283370i 0.628528 0.777787i \(-0.283658\pi\)
−0.869225 + 0.494417i \(0.835382\pi\)
\(198\) −576.422 1087.25i −0.206891 0.390239i
\(199\) 1409.00 474.749i 0.501918 0.169116i −0.0569426 0.998377i \(-0.518135\pi\)
0.558861 + 0.829262i \(0.311239\pi\)
\(200\) −136.383 + 2515.43i −0.0482186 + 0.889340i
\(201\) −1392.32 + 837.733i −0.488592 + 0.293976i
\(202\) −978.534 3524.36i −0.340839 1.22759i
\(203\) 337.368 1215.09i 0.116643 0.420111i
\(204\) −164.672 99.0801i −0.0565165 0.0340049i
\(205\) 749.693 1105.72i 0.255419 0.376715i
\(206\) 5286.50 574.942i 1.78800 0.194457i
\(207\) 1180.47 128.384i 0.396370 0.0431078i
\(208\) −1548.14 + 2283.33i −0.516077 + 0.761157i
\(209\) 4472.15 + 2690.80i 1.48012 + 0.890558i
\(210\) −94.3584 + 339.848i −0.0310064 + 0.111675i
\(211\) 1485.22 + 5349.30i 0.484583 + 1.74531i 0.650826 + 0.759227i \(0.274423\pi\)
−0.166243 + 0.986085i \(0.553164\pi\)
\(212\) 350.303 210.770i 0.113485 0.0682819i
\(213\) −77.3895 + 1427.37i −0.0248950 + 0.459162i
\(214\) −576.426 + 194.221i −0.184129 + 0.0620404i
\(215\) −415.196 783.143i −0.131703 0.248418i
\(216\) 379.275 + 446.517i 0.119474 + 0.140656i
\(217\) 534.383 + 788.156i 0.167172 + 0.246560i
\(218\) 138.191 + 2548.78i 0.0429333 + 0.791857i
\(219\) 213.219 + 535.140i 0.0657901 + 0.165121i
\(220\) −75.9505 35.1384i −0.0232754 0.0107683i
\(221\) −4191.12 + 922.535i −1.27568 + 0.280798i
\(222\) −921.675 + 1738.46i −0.278643 + 0.525577i
\(223\) 672.220 4100.36i 0.201862 1.23130i −0.670302 0.742088i \(-0.733835\pi\)
0.872164 0.489214i \(-0.162716\pi\)
\(224\) −290.592 + 220.902i −0.0866786 + 0.0658914i
\(225\) −948.306 + 438.733i −0.280979 + 0.129995i
\(226\) −2483.73 2352.71i −0.731041 0.692479i
\(227\) 835.755 + 5097.88i 0.244366 + 1.49056i 0.769007 + 0.639241i \(0.220751\pi\)
−0.524641 + 0.851323i \(0.675801\pi\)
\(228\) 191.472 + 64.5144i 0.0556164 + 0.0187393i
\(229\) 168.700 423.406i 0.0486814 0.122181i −0.902625 0.430427i \(-0.858363\pi\)
0.951307 + 0.308246i \(0.0997421\pi\)
\(230\) 838.196 793.981i 0.240300 0.227624i
\(231\) −1495.94 1137.18i −0.426084 0.323901i
\(232\) −1989.03 437.819i −0.562872 0.123897i
\(233\) −849.781 + 1000.44i −0.238931 + 0.281292i −0.868538 0.495622i \(-0.834940\pi\)
0.629607 + 0.776914i \(0.283216\pi\)
\(234\) −1057.55 115.016i −0.295446 0.0321317i
\(235\) −595.959 −0.165430
\(236\) −224.008 155.410i −0.0617869 0.0428658i
\(237\) 1892.94 0.518818
\(238\) −4171.22 453.647i −1.13605 0.123553i
\(239\) −2413.38 + 2841.25i −0.653175 + 0.768977i −0.984660 0.174483i \(-0.944174\pi\)
0.331485 + 0.943460i \(0.392450\pi\)
\(240\) 598.386 + 131.715i 0.160940 + 0.0354256i
\(241\) 2257.28 + 1715.94i 0.603336 + 0.458644i 0.861710 0.507401i \(-0.169394\pi\)
−0.258374 + 0.966045i \(0.583187\pi\)
\(242\) 1793.95 1699.32i 0.476528 0.451391i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) 365.487 + 123.147i 0.0958931 + 0.0323101i
\(245\) −78.4375 478.447i −0.0204538 0.124763i
\(246\) 2860.00 + 2709.14i 0.741248 + 0.702147i
\(247\) 4094.78 1894.45i 1.05484 0.488019i
\(248\) 1224.31 930.695i 0.313483 0.238303i
\(249\) 472.114 2879.77i 0.120157 0.732923i
\(250\) −988.239 + 1864.02i −0.250007 + 0.471563i
\(251\) 397.969 87.5995i 0.100078 0.0220288i −0.164649 0.986352i \(-0.552649\pi\)
0.264727 + 0.964323i \(0.414718\pi\)
\(252\) −66.0207 30.5444i −0.0165036 0.00763539i
\(253\) 2276.74 + 5714.20i 0.565762 + 1.41995i
\(254\) 181.858 + 3354.17i 0.0449243 + 0.828580i
\(255\) 534.891 + 788.905i 0.131357 + 0.193738i
\(256\) 594.927 + 700.402i 0.145246 + 0.170997i
\(257\) 2236.47 + 4218.42i 0.542828 + 1.02388i 0.991490 + 0.130181i \(0.0415559\pi\)
−0.448662 + 0.893702i \(0.648099\pi\)
\(258\) 2477.05 834.614i 0.597729 0.201398i
\(259\) −162.666 + 3000.20i −0.0390254 + 0.719781i
\(260\) −61.9863 + 37.2959i −0.0147855 + 0.00889614i
\(261\) −225.996 813.964i −0.0535969 0.193039i
\(262\) 243.904 878.462i 0.0575131 0.207143i
\(263\) −4496.62 2705.53i −1.05427 0.634335i −0.120687 0.992691i \(-0.538510\pi\)
−0.933585 + 0.358356i \(0.883337\pi\)
\(264\) −1703.10 + 2511.88i −0.397039 + 0.585589i
\(265\) −2015.71 + 219.221i −0.467260 + 0.0508176i
\(266\) 4385.37 476.938i 1.01084 0.109936i
\(267\) −2212.47 + 3263.14i −0.507119 + 0.747944i
\(268\) −279.208 167.994i −0.0636394 0.0382906i
\(269\) −1359.95 + 4898.10i −0.308244 + 1.11019i 0.633467 + 0.773770i \(0.281631\pi\)
−0.941711 + 0.336424i \(0.890782\pi\)
\(270\) 63.2089 + 227.658i 0.0142473 + 0.0513141i
\(271\) −4868.90 + 2929.52i −1.09138 + 0.656662i −0.943176 0.332294i \(-0.892177\pi\)
−0.148206 + 0.988957i \(0.547350\pi\)
\(272\) −394.612 + 7278.18i −0.0879663 + 1.62244i
\(273\) −1539.36 + 518.669i −0.341268 + 0.114986i
\(274\) −3540.52 6678.13i −0.780623 1.47241i
\(275\) −3504.05 4125.28i −0.768371 0.904596i
\(276\) 133.631 + 197.090i 0.0291435 + 0.0429835i
\(277\) 237.519 + 4380.78i 0.0515203 + 0.950237i 0.904015 + 0.427501i \(0.140606\pi\)
−0.852495 + 0.522736i \(0.824911\pi\)
\(278\) −302.899 760.219i −0.0653477 0.164010i
\(279\) 578.929 + 267.841i 0.124228 + 0.0574739i
\(280\) 849.480 186.985i 0.181308 0.0399088i
\(281\) −1222.16 + 2305.24i −0.259459 + 0.489391i −0.978680 0.205390i \(-0.934154\pi\)
0.719221 + 0.694781i \(0.244499\pi\)
\(282\) 284.317 1734.26i 0.0600384 0.366218i
\(283\) −4835.79 + 3676.07i −1.01575 + 0.772154i −0.973902 0.226970i \(-0.927118\pi\)
−0.0418499 + 0.999124i \(0.513325\pi\)
\(284\) −260.162 + 120.364i −0.0543584 + 0.0251489i
\(285\) −727.503 689.127i −0.151205 0.143229i
\(286\) −891.510 5437.97i −0.184322 1.12431i
\(287\) 5700.54 + 1920.74i 1.17245 + 0.395043i
\(288\) −90.5068 + 227.155i −0.0185179 + 0.0464765i
\(289\) −4665.02 + 4418.94i −0.949525 + 0.899438i
\(290\) −653.878 497.065i −0.132404 0.100651i
\(291\) 4312.64 + 949.285i 0.868769 + 0.191230i
\(292\) −74.7850 + 88.0437i −0.0149879 + 0.0176451i
\(293\) −873.951 95.0479i −0.174255 0.0189514i 0.0205754 0.999788i \(-0.493450\pi\)
−0.194831 + 0.980837i \(0.562416\pi\)
\(294\) 1429.72 0.283615
\(295\) 684.668 + 1166.02i 0.135129 + 0.230130i
\(296\) 4852.55 0.952867
\(297\) −1251.39 136.097i −0.244489 0.0265898i
\(298\) 6242.69 7349.47i 1.21352 1.42867i
\(299\) 5192.97 + 1143.06i 1.00441 + 0.221086i
\(300\) −166.808 126.804i −0.0321023 0.0244035i
\(301\) 2897.70 2744.84i 0.554885 0.525615i
\(302\) −1257.86 + 3156.99i −0.239674 + 0.601537i
\(303\) −3545.58 1194.64i −0.672238 0.226503i
\(304\) −1239.75 7562.14i −0.233896 1.42670i
\(305\) −1388.68 1315.43i −0.260707 0.246954i
\(306\) −2550.92 + 1180.18i −0.476556 + 0.220478i
\(307\) −8463.03 + 6433.43i −1.57332 + 1.19601i −0.693788 + 0.720179i \(0.744060\pi\)
−0.879537 + 0.475831i \(0.842147\pi\)
\(308\) 60.9633 371.860i 0.0112783 0.0687944i
\(309\) 2547.87 4805.80i 0.469073 0.884765i
\(310\) 605.718 133.329i 0.110976 0.0244276i
\(311\) 1101.00 + 509.379i 0.200747 + 0.0928753i 0.517687 0.855570i \(-0.326793\pi\)
−0.316940 + 0.948446i \(0.602655\pi\)
\(312\) 971.036 + 2437.12i 0.176199 + 0.442226i
\(313\) 353.749 + 6524.51i 0.0638820 + 1.17823i 0.838173 + 0.545404i \(0.183624\pi\)
−0.774291 + 0.632829i \(0.781893\pi\)
\(314\) −676.339 997.526i −0.121554 0.179279i
\(315\) 233.564 + 274.973i 0.0417773 + 0.0491840i
\(316\) 177.808 + 335.381i 0.0316534 + 0.0597046i
\(317\) −10140.4 + 3416.70i −1.79666 + 0.605366i −0.796662 + 0.604425i \(0.793403\pi\)
−1.00000 0.000940199i \(0.999701\pi\)
\(318\) 323.703 5970.34i 0.0570828 1.05283i
\(319\) 3749.56 2256.03i 0.658103 0.395968i
\(320\) −373.508 1345.26i −0.0652492 0.235006i
\(321\) −166.455 + 599.515i −0.0289426 + 0.104242i
\(322\) 4454.62 + 2680.25i 0.770951 + 0.463866i
\(323\) 6689.80 9866.72i 1.15242 1.69969i
\(324\) −48.4442 + 5.26862i −0.00830661 + 0.000903398i
\(325\) −4651.50 + 505.881i −0.793903 + 0.0863422i
\(326\) 4889.89 7212.05i 0.830755 1.22527i
\(327\) 2237.22 + 1346.09i 0.378344 + 0.227642i
\(328\) 2599.07 9361.01i 0.437530 1.57584i
\(329\) −717.921 2585.72i −0.120305 0.433298i
\(330\) −1048.72 + 630.991i −0.174939 + 0.105257i
\(331\) 178.350 3289.47i 0.0296163 0.546240i −0.945647 0.325194i \(-0.894570\pi\)
0.975263 0.221046i \(-0.0709470\pi\)
\(332\) 554.567 186.856i 0.0916742 0.0308886i
\(333\) 942.778 + 1778.27i 0.155147 + 0.292638i
\(334\) −27.9266 32.8777i −0.00457507 0.00538619i
\(335\) 906.928 + 1337.62i 0.147913 + 0.218155i
\(336\) 149.367 + 2754.92i 0.0242519 + 0.447300i
\(337\) −3914.25 9824.02i −0.632708 1.58798i −0.798619 0.601837i \(-0.794436\pi\)
0.165911 0.986141i \(-0.446943\pi\)
\(338\) 1524.60 + 705.357i 0.245348 + 0.113510i
\(339\) −3417.65 + 752.282i −0.547556 + 0.120526i
\(340\) −89.5304 + 168.872i −0.0142808 + 0.0269364i
\(341\) −534.581 + 3260.80i −0.0848949 + 0.517836i
\(342\) 2352.45 1788.29i 0.371947 0.282747i
\(343\) 6163.74 2851.65i 0.970294 0.448906i
\(344\) −4679.88 4433.02i −0.733495 0.694804i
\(345\) −191.062 1165.42i −0.0298157 0.181868i
\(346\) 173.091 + 58.3210i 0.0268942 + 0.00906173i
\(347\) 1988.96 4991.91i 0.307703 0.772277i −0.691071 0.722786i \(-0.742861\pi\)
0.998775 0.0494902i \(-0.0157597\pi\)
\(348\) 122.985 116.498i 0.0189446 0.0179452i
\(349\) 4144.56 + 3150.61i 0.635682 + 0.483233i 0.872690 0.488275i \(-0.162374\pi\)
−0.237008 + 0.971508i \(0.576167\pi\)
\(350\) −4467.70 983.415i −0.682310 0.150188i
\(351\) −704.450 + 829.343i −0.107125 + 0.126117i
\(352\) −1259.23 136.949i −0.190674 0.0207370i
\(353\) −3300.06 −0.497576 −0.248788 0.968558i \(-0.580032\pi\)
−0.248788 + 0.968558i \(0.580032\pi\)
\(354\) −3719.79 + 1436.12i −0.558488 + 0.215619i
\(355\) 1421.69 0.212551
\(356\) −785.967 85.4790i −0.117012 0.0127258i
\(357\) −2778.51 + 3271.11i −0.411916 + 0.484945i
\(358\) 5800.34 + 1276.75i 0.856306 + 0.188487i
\(359\) 3030.87 + 2304.01i 0.445580 + 0.338721i 0.803783 0.594923i \(-0.202817\pi\)
−0.358203 + 0.933644i \(0.616610\pi\)
\(360\) 423.018 400.704i 0.0619305 0.0586637i
\(361\) −2100.10 + 5270.85i −0.306182 + 0.768458i
\(362\) −3590.38 1209.74i −0.521288 0.175642i
\(363\) −408.921 2494.31i −0.0591261 0.360653i
\(364\) −236.490 224.015i −0.0340533 0.0322570i
\(365\) 519.971 240.564i 0.0745658 0.0344978i
\(366\) 4490.43 3413.53i 0.641307 0.487509i
\(367\) 696.654 4249.40i 0.0990874 0.604406i −0.889871 0.456212i \(-0.849206\pi\)
0.988958 0.148194i \(-0.0473460\pi\)
\(368\) 4230.30 7979.19i 0.599238 1.13028i
\(369\) 3935.41 866.248i 0.555201 0.122209i
\(370\) 1776.11 + 821.715i 0.249555 + 0.115457i
\(371\) −3379.36 8481.56i −0.472905 1.18690i
\(372\) 6.92533 + 127.730i 0.000965219 + 0.0178024i
\(373\) 5539.97 + 8170.85i 0.769032 + 1.13424i 0.987380 + 0.158366i \(0.0506227\pi\)
−0.218348 + 0.975871i \(0.570067\pi\)
\(374\) −9425.79 11096.9i −1.30320 1.53424i
\(375\) 1010.87 + 1906.70i 0.139202 + 0.262564i
\(376\) −4107.13 + 1383.85i −0.563322 + 0.189805i
\(377\) 204.796 3777.23i 0.0279775 0.516014i
\(378\) −911.606 + 548.495i −0.124042 + 0.0746337i
\(379\) −193.108 695.512i −0.0261723 0.0942639i 0.949310 0.314340i \(-0.101783\pi\)
−0.975483 + 0.220076i \(0.929369\pi\)
\(380\) 53.7600 193.626i 0.00725744 0.0261389i
\(381\) 2944.17 + 1771.45i 0.395890 + 0.238199i
\(382\) 3717.04 5482.23i 0.497855 0.734280i
\(383\) −1512.15 + 164.456i −0.201742 + 0.0219408i −0.208432 0.978037i \(-0.566836\pi\)
0.00668984 + 0.999978i \(0.497871\pi\)
\(384\) 4741.16 515.632i 0.630068 0.0685240i
\(385\) −1048.80 + 1546.86i −0.138835 + 0.204767i
\(386\) −4383.35 2637.37i −0.577997 0.347769i
\(387\) 715.296 2576.26i 0.0939549 0.338395i
\(388\) 236.906 + 853.258i 0.0309976 + 0.111643i
\(389\) −446.782 + 268.820i −0.0582333 + 0.0350378i −0.544373 0.838843i \(-0.683232\pi\)
0.486139 + 0.873881i \(0.338405\pi\)
\(390\) −57.2794 + 1056.46i −0.00743706 + 0.137169i
\(391\) 13313.7 4485.90i 1.72200 0.580209i
\(392\) −1651.55 3115.15i −0.212795 0.401374i
\(393\) −603.731 710.768i −0.0774917 0.0912302i
\(394\) −1692.01 2495.53i −0.216351 0.319094i
\(395\) −101.925 1879.90i −0.0129833 0.239463i
\(396\) −93.4328 234.499i −0.0118565 0.0297576i
\(397\) −6091.85 2818.39i −0.770129 0.356299i −0.00484124 0.999988i \(-0.501541\pi\)
−0.765287 + 0.643689i \(0.777403\pi\)
\(398\) 4258.72 937.414i 0.536357 0.118061i
\(399\) 2113.57 3986.61i 0.265190 0.500200i
\(400\) −1285.68 + 7842.29i −0.160710 + 0.980286i
\(401\) 6370.09 4842.41i 0.793284 0.603039i −0.128069 0.991765i \(-0.540878\pi\)
0.921353 + 0.388726i \(0.127085\pi\)
\(402\) −4325.18 + 2001.04i −0.536618 + 0.248266i
\(403\) 2073.75 + 1964.36i 0.256330 + 0.242809i
\(404\) −121.383 740.401i −0.0149480 0.0911790i
\(405\) 229.028 + 77.1686i 0.0281000 + 0.00946800i
\(406\) 1368.95 3435.80i 0.167339 0.419990i
\(407\) −7569.37 + 7170.09i −0.921866 + 0.873238i
\(408\) 5518.15 + 4194.79i 0.669582 + 0.509003i
\(409\) −2420.12 532.710i −0.292585 0.0644029i 0.0662523 0.997803i \(-0.478896\pi\)
−0.358838 + 0.933400i \(0.616827\pi\)
\(410\) 2536.47 2986.16i 0.305530 0.359697i
\(411\) −7686.35 835.941i −0.922482 0.100326i
\(412\) 1090.79 0.130436
\(413\) −4234.29 + 4375.25i −0.504494 + 0.521288i
\(414\) 3482.57 0.413427
\(415\) −2885.34 313.799i −0.341291 0.0371176i
\(416\) −708.862 + 834.536i −0.0835452 + 0.0983570i
\(417\) −817.507 179.947i −0.0960036 0.0211320i
\(418\) 12186.0 + 9263.56i 1.42593 + 1.08396i
\(419\) −7013.49 + 6643.53i −0.817736 + 0.774601i −0.977136 0.212613i \(-0.931803\pi\)
0.159400 + 0.987214i \(0.449044\pi\)
\(420\) −26.7790 + 67.2103i −0.00311115 + 0.00780840i
\(421\) 6430.64 + 2166.73i 0.744442 + 0.250832i 0.665861 0.746076i \(-0.268064\pi\)
0.0785811 + 0.996908i \(0.474961\pi\)
\(422\) 2634.16 + 16067.7i 0.303860 + 1.85346i
\(423\) −1305.08 1236.24i −0.150012 0.142099i
\(424\) −13382.5 + 6191.38i −1.53281 + 0.709151i
\(425\) −9841.66 + 7481.43i −1.12327 + 0.853889i
\(426\) −678.254 + 4137.17i −0.0771397 + 0.470532i
\(427\) 4034.44 7609.76i 0.457237 0.862440i
\(428\) −121.854 + 26.8221i −0.0137618 + 0.00302920i
\(429\) −5115.76 2366.80i −0.575737 0.266364i
\(430\) −962.237 2415.03i −0.107914 0.270845i
\(431\) −430.543 7940.89i −0.0481172 0.887469i −0.918580 0.395235i \(-0.870663\pi\)
0.870463 0.492234i \(-0.163820\pi\)
\(432\) 1037.17 + 1529.71i 0.115511 + 0.170367i
\(433\) 6179.04 + 7274.53i 0.685787 + 0.807370i 0.989368 0.145435i \(-0.0464582\pi\)
−0.303581 + 0.952806i \(0.598182\pi\)
\(434\) 1308.16 + 2467.44i 0.144685 + 0.272906i
\(435\) −796.185 + 268.266i −0.0877566 + 0.0295686i
\(436\) −28.3464 + 522.819i −0.00311364 + 0.0574278i
\(437\) −12656.1 + 7614.92i −1.38541 + 0.833573i
\(438\) 451.983 + 1627.90i 0.0493073 + 0.177589i
\(439\) −667.700 + 2404.84i −0.0725913 + 0.261450i −0.990937 0.134330i \(-0.957112\pi\)
0.918345 + 0.395780i \(0.129526\pi\)
\(440\) 2586.27 + 1556.11i 0.280217 + 0.168601i
\(441\) 820.708 1210.45i 0.0886198 0.130704i
\(442\) −12512.4 + 1360.81i −1.34650 + 0.146441i
\(443\) 12064.3 1312.07i 1.29389 0.140719i 0.564852 0.825192i \(-0.308933\pi\)
0.729038 + 0.684473i \(0.239968\pi\)
\(444\) −226.507 + 334.072i −0.0242107 + 0.0357080i
\(445\) 3359.78 + 2021.51i 0.357908 + 0.215346i
\(446\) 3260.17 11742.1i 0.346129 1.24665i
\(447\) −2638.82 9504.17i −0.279221 1.00566i
\(448\) 5386.78 3241.12i 0.568084 0.341805i
\(449\) 2.97406 54.8534i 0.000312594 0.00576546i −0.998373 0.0570214i \(-0.981840\pi\)
0.998686 + 0.0512560i \(0.0163224\pi\)
\(450\) −2904.05 + 978.490i −0.304219 + 0.102503i
\(451\) 9777.53 + 18442.4i 1.02086 + 1.92554i
\(452\) −454.312 534.857i −0.0472766 0.0556583i
\(453\) 1950.77 + 2877.18i 0.202330 + 0.298414i
\(454\) 820.253 + 15128.7i 0.0847938 + 1.56393i
\(455\) 597.980 + 1500.82i 0.0616126 + 0.154636i
\(456\) −6613.87 3059.90i −0.679217 0.314239i
\(457\) −8631.53 + 1899.94i −0.883514 + 0.194476i −0.633478 0.773760i \(-0.718373\pi\)
−0.250036 + 0.968237i \(0.580442\pi\)
\(458\) 626.133 1181.01i 0.0638805 0.120491i
\(459\) −465.131 + 2837.17i −0.0472995 + 0.288514i
\(460\) 188.537 143.322i 0.0191099 0.0145270i
\(461\) −5913.24 + 2735.76i −0.597412 + 0.276392i −0.695202 0.718815i \(-0.744685\pi\)
0.0977894 + 0.995207i \(0.468823\pi\)
\(462\) −4001.04 3789.99i −0.402912 0.381659i
\(463\) −628.367 3832.87i −0.0630728 0.384727i −0.999433 0.0336850i \(-0.989276\pi\)
0.936360 0.351042i \(-0.114173\pi\)
\(464\) −6088.59 2051.49i −0.609172 0.205254i
\(465\) 234.823 589.360i 0.0234186 0.0587762i
\(466\) −2794.91 + 2647.48i −0.277836 + 0.263180i
\(467\) 1201.82 + 913.598i 0.119087 + 0.0905273i 0.663022 0.748600i \(-0.269273\pi\)
−0.543936 + 0.839127i \(0.683066\pi\)
\(468\) −213.109 46.9088i −0.0210490 0.00463324i
\(469\) −4711.07 + 5546.29i −0.463831 + 0.546064i
\(470\) −1737.61 188.977i −0.170532 0.0185465i
\(471\) −1232.79 −0.120603
\(472\) 7426.05 + 6445.95i 0.724177 + 0.628599i
\(473\) 13850.2 1.34637
\(474\) 5519.17 + 600.246i 0.534818 + 0.0581650i
\(475\) 8414.17 9905.92i 0.812776 0.956873i
\(476\) −840.547 185.018i −0.0809379 0.0178158i
\(477\) −4868.92 3701.25i −0.467363 0.355280i
\(478\) −7937.55 + 7518.85i −0.759529 + 0.719465i
\(479\) 1538.96 3862.51i 0.146800 0.368439i −0.837128 0.547007i \(-0.815767\pi\)
0.983928 + 0.178568i \(0.0571463\pi\)
\(480\) 230.463 + 77.6519i 0.0219149 + 0.00738397i
\(481\) 1458.13 + 8894.19i 0.138222 + 0.843118i
\(482\) 6037.33 + 5718.86i 0.570524 + 0.540429i
\(483\) 4826.32 2232.89i 0.454669 0.210352i
\(484\) 403.517 306.745i 0.0378960 0.0288078i
\(485\) 710.528 4334.03i 0.0665226 0.405770i
\(486\) −333.826 + 629.663i −0.0311578 + 0.0587698i
\(487\) 6986.82 1537.91i 0.650109 0.143100i 0.122340 0.992488i \(-0.460960\pi\)
0.527768 + 0.849388i \(0.323029\pi\)
\(488\) −12624.8 5840.83i −1.17110 0.541808i
\(489\) −3299.04 8279.96i −0.305087 0.765711i
\(490\) −76.9826 1419.86i −0.00709739 0.130904i
\(491\) −810.639 1195.60i −0.0745084 0.109892i 0.788609 0.614895i \(-0.210802\pi\)
−0.863117 + 0.505003i \(0.831491\pi\)
\(492\) 523.137 + 615.885i 0.0479367 + 0.0564354i
\(493\) −4681.60 8830.43i −0.427685 0.806699i
\(494\) 12539.7 4225.11i 1.14208 0.384811i
\(495\) −67.7782 + 1250.10i −0.00615435 + 0.113510i
\(496\) 4157.07 2501.23i 0.376327 0.226428i
\(497\) 1712.64 + 6168.38i 0.154572 + 0.556719i
\(498\) 2289.69 8246.70i 0.206031 0.742055i
\(499\) −5809.09 3495.21i −0.521143 0.313562i 0.230565 0.973057i \(-0.425942\pi\)
−0.751709 + 0.659495i \(0.770770\pi\)
\(500\) −242.865 + 358.199i −0.0217225 + 0.0320383i
\(501\) −43.8664 + 4.77076i −0.00391179 + 0.000425433i
\(502\) 1188.12 129.216i 0.105634 0.0114884i
\(503\) 618.768 912.614i 0.0548499 0.0808975i −0.799275 0.600965i \(-0.794783\pi\)
0.854125 + 0.520068i \(0.174093\pi\)
\(504\) 2248.14 + 1352.66i 0.198691 + 0.119548i
\(505\) −995.500 + 3585.47i −0.0877211 + 0.315943i
\(506\) 4826.25 + 17382.6i 0.424018 + 1.52717i
\(507\) 1472.36 885.890i 0.128974 0.0776011i
\(508\) −37.3037 + 688.026i −0.00325804 + 0.0600910i
\(509\) 2002.67 674.777i 0.174394 0.0587602i −0.230750 0.973013i \(-0.574118\pi\)
0.405144 + 0.914253i \(0.367221\pi\)
\(510\) 1309.40 + 2469.79i 0.113688 + 0.214439i
\(511\) 1670.13 + 1966.23i 0.144583 + 0.170217i
\(512\) −5624.46 8295.46i −0.485485 0.716037i
\(513\) −163.643 3018.22i −0.0140839 0.259762i
\(514\) 5183.12 + 13008.6i 0.444781 + 1.11632i
\(515\) −4909.86 2271.55i −0.420106 0.194362i
\(516\) 523.637 115.261i 0.0446741 0.00983352i
\(517\) 4361.84 8227.30i 0.371051 0.699876i
\(518\) −1425.63 + 8695.97i −0.120924 + 0.737604i
\(519\) 148.737 113.067i 0.0125796 0.00956280i
\(520\) 2368.03 1095.57i 0.199702 0.0923921i
\(521\) −10797.3 10227.8i −0.907946 0.860052i 0.0826910 0.996575i \(-0.473649\pi\)
−0.990637 + 0.136523i \(0.956407\pi\)
\(522\) −400.821 2444.90i −0.0336082 0.205001i
\(523\) −3735.03 1258.48i −0.312278 0.105219i 0.158799 0.987311i \(-0.449238\pi\)
−0.471077 + 0.882092i \(0.656134\pi\)
\(524\) 69.2202 173.730i 0.00577080 0.0144836i
\(525\) −3397.22 + 3218.02i −0.282413 + 0.267516i
\(526\) −12252.7 9314.25i −1.01567 0.772093i
\(527\) 7370.67 + 1622.41i 0.609244 + 0.134105i
\(528\) −6197.94 + 7296.78i −0.510853 + 0.601423i
\(529\) −5209.69 566.588i −0.428182 0.0465676i
\(530\) −5946.62 −0.487367
\(531\) −919.415 + 3973.71i −0.0751398 + 0.324754i
\(532\) 904.856 0.0737415
\(533\) 17938.7 + 1950.95i 1.45781 + 0.158546i
\(534\) −7485.52 + 8812.64i −0.606611 + 0.714158i
\(535\) 604.345 + 133.026i 0.0488376 + 0.0107500i
\(536\) 9356.24 + 7112.43i 0.753971 + 0.573154i
\(537\) 4410.56 4177.90i 0.354431 0.335735i
\(538\) −5518.32 + 13849.9i −0.442215 + 1.10988i
\(539\) 7179.12 + 2418.93i 0.573704 + 0.193304i
\(540\) 7.84077 + 47.8266i 0.000624839 + 0.00381135i
\(541\) 10861.9 + 10288.9i 0.863196 + 0.817662i 0.984579 0.174943i \(-0.0559742\pi\)
−0.121383 + 0.992606i \(0.538733\pi\)
\(542\) −15125.0 + 6997.55i −1.19866 + 0.554559i
\(543\) −3085.22 + 2345.33i −0.243830 + 0.185355i
\(544\) −468.044 + 2854.94i −0.0368883 + 0.225008i
\(545\) 1216.35 2294.28i 0.0956014 0.180323i
\(546\) −4652.70 + 1024.14i −0.364683 + 0.0802729i
\(547\) −8034.08 3716.96i −0.627994 0.290541i 0.0799618 0.996798i \(-0.474520\pi\)
−0.707955 + 0.706257i \(0.750382\pi\)
\(548\) −573.887 1440.35i −0.0447358 0.112278i
\(549\) −312.367 5761.27i −0.0242832 0.447878i
\(550\) −8908.48 13139.0i −0.690653 1.01864i
\(551\) 6802.62 + 8008.66i 0.525955 + 0.619203i
\(552\) −4022.91 7588.01i −0.310193 0.585086i
\(553\) 8033.61 2706.84i 0.617765 0.208149i
\(554\) −696.607 + 12848.2i −0.0534224 + 0.985318i
\(555\) 1715.25 1032.03i 0.131186 0.0789320i
\(556\) −44.9080 161.744i −0.00342540 0.0123372i
\(557\) 6557.70 23618.7i 0.498848 1.79669i −0.0990090 0.995087i \(-0.531567\pi\)
0.597857 0.801603i \(-0.296019\pi\)
\(558\) 1603.03 + 964.508i 0.121616 + 0.0731737i
\(559\) 6719.00 9909.78i 0.508378 0.749801i
\(560\) 2727.88 296.675i 0.205847 0.0223872i
\(561\) −14805.8 + 1610.23i −1.11426 + 0.121184i
\(562\) −4294.38 + 6333.74i −0.322327 + 0.475396i
\(563\) 13240.5 + 7966.55i 0.991156 + 0.596359i 0.916155 0.400824i \(-0.131276\pi\)
0.0750015 + 0.997183i \(0.476104\pi\)
\(564\) 96.4411 347.349i 0.00720018 0.0259327i
\(565\) 931.119 + 3353.59i 0.0693318 + 0.249711i
\(566\) −15265.2 + 9184.75i −1.13364 + 0.682091i
\(567\) −58.9169 + 1086.66i −0.00436380 + 0.0804856i
\(568\) 9797.79 3301.26i 0.723778 0.243869i
\(569\) −212.868 401.512i −0.0156835 0.0295822i 0.875546 0.483134i \(-0.160502\pi\)
−0.891230 + 0.453552i \(0.850157\pi\)
\(570\) −1902.63 2239.95i −0.139811 0.164598i
\(571\) −10189.7 15028.7i −0.746806 1.10146i −0.991276 0.131800i \(-0.957924\pi\)
0.244470 0.969657i \(-0.421386\pi\)
\(572\) −61.1964 1128.70i −0.00447334 0.0825058i
\(573\) −2507.76 6293.99i −0.182832 0.458875i
\(574\) 16011.8 + 7407.83i 1.16432 + 0.538670i
\(575\) 14959.5 3292.83i 1.08496 0.238818i
\(576\) 1972.62 3720.75i 0.142695 0.269152i
\(577\) −1580.49 + 9640.58i −0.114033 + 0.695568i 0.866495 + 0.499186i \(0.166367\pi\)
−0.980527 + 0.196382i \(0.937081\pi\)
\(578\) −15002.8 + 11404.8i −1.07965 + 0.820725i
\(579\) −4749.11 + 2197.17i −0.340874 + 0.157705i
\(580\) −122.317 115.865i −0.00875679 0.00829487i
\(581\) −2114.32 12896.8i −0.150975 0.920910i
\(582\) 12273.2 + 4135.31i 0.874123 + 0.294526i
\(583\) 11726.6 29431.6i 0.833048 2.09079i
\(584\) 3024.84 2865.28i 0.214330 0.203024i
\(585\) 861.557 + 654.939i 0.0608906 + 0.0462878i
\(586\) −2518.00 554.254i −0.177505 0.0390717i
\(587\) −12407.2 + 14606.8i −0.872399 + 1.02707i 0.126982 + 0.991905i \(0.459471\pi\)
−0.999382 + 0.0351628i \(0.988805\pi\)
\(588\) 291.552 + 31.7082i 0.0204480 + 0.00222385i
\(589\) −7934.59 −0.555075
\(590\) 1626.52 + 3616.82i 0.113496 + 0.252377i
\(591\) −3084.09 −0.214658
\(592\) 15218.4 + 1655.10i 1.05654 + 0.114906i
\(593\) −1738.69 + 2046.95i −0.120404 + 0.141751i −0.819061 0.573706i \(-0.805505\pi\)
0.698657 + 0.715456i \(0.253781\pi\)
\(594\) −3605.48 793.625i −0.249048 0.0548196i
\(595\) 3398.17 + 2583.22i 0.234137 + 0.177986i
\(596\) 1436.03 1360.28i 0.0986946 0.0934884i
\(597\) 1651.00 4143.71i 0.113184 0.284072i
\(598\) 14778.5 + 4979.44i 1.01060 + 0.340509i
\(599\) −2443.52 14904.8i −0.166677 1.01669i −0.929160 0.369678i \(-0.879468\pi\)
0.762483 0.647009i \(-0.223980\pi\)
\(600\) 5486.63 + 5197.21i 0.373318 + 0.353625i
\(601\) −12143.3 + 5618.07i −0.824183 + 0.381308i −0.786201 0.617971i \(-0.787955\pi\)
−0.0379820 + 0.999278i \(0.512093\pi\)
\(602\) 9319.07 7084.17i 0.630925 0.479617i
\(603\) −788.648 + 4810.54i −0.0532607 + 0.324876i
\(604\) −326.522 + 615.886i −0.0219967 + 0.0414901i
\(605\) −2455.10 + 540.408i −0.164982 + 0.0363152i
\(606\) −9958.87 4607.46i −0.667577 0.308854i
\(607\) −5392.91 13535.2i −0.360612 0.905068i −0.991608 0.129282i \(-0.958733\pi\)
0.630996 0.775786i \(-0.282646\pi\)
\(608\) −164.668 3037.12i −0.0109838 0.202585i
\(609\) −2123.06 3131.28i −0.141266 0.208351i
\(610\) −3631.79 4275.68i −0.241061 0.283798i
\(611\) −3770.59 7112.08i −0.249659 0.470907i
\(612\) −546.365 + 184.092i −0.0360874 + 0.0121593i
\(613\) 288.405 5319.31i 0.0190025 0.350481i −0.973535 0.228539i \(-0.926605\pi\)
0.992537 0.121942i \(-0.0389122\pi\)
\(614\) −26715.3 + 16074.1i −1.75593 + 1.05651i
\(615\) −1072.18 3861.64i −0.0702999 0.253197i
\(616\) −3636.01 + 13095.7i −0.237823 + 0.856562i
\(617\) −433.541 260.853i −0.0282880 0.0170203i 0.501340 0.865251i \(-0.332841\pi\)
−0.529628 + 0.848230i \(0.677668\pi\)
\(618\) 8952.63 13204.1i 0.582731 0.859463i
\(619\) −11790.6 + 1282.30i −0.765594 + 0.0832634i −0.482580 0.875852i \(-0.660300\pi\)
−0.283015 + 0.959116i \(0.591335\pi\)
\(620\) 126.477 13.7552i 0.00819263 0.000891003i
\(621\) 1999.12 2948.48i 0.129182 0.190529i
\(622\) 3048.63 + 1834.30i 0.196525 + 0.118245i
\(623\) −4723.49 + 17012.5i −0.303760 + 1.09404i
\(624\) 2214.08 + 7974.39i 0.142042 + 0.511588i
\(625\) −10595.8 + 6375.25i −0.678128 + 0.408016i
\(626\) −1037.49 + 19135.4i −0.0662404 + 1.22173i
\(627\) 14838.1 4999.54i 0.945099 0.318441i
\(628\) −115.798 218.419i −0.00735804 0.0138787i
\(629\) 15416.5 + 18149.8i 0.977262 + 1.15052i
\(630\) 593.800 + 875.789i 0.0375517 + 0.0553845i
\(631\) 576.843 + 10639.2i 0.0363926 + 0.671222i 0.958640 + 0.284622i \(0.0918680\pi\)
−0.922247 + 0.386601i \(0.873649\pi\)
\(632\) −5067.66 12718.9i −0.318957 0.800521i
\(633\) 15115.6 + 6993.24i 0.949119 + 0.439109i
\(634\) −30649.3 + 6746.43i −1.91994 + 0.422610i
\(635\) 1600.71 3019.26i 0.100035 0.188686i
\(636\) 198.421 1210.31i 0.0123709 0.0754592i
\(637\) 5213.45 3963.16i 0.324277 0.246509i
\(638\) 11647.8 5388.85i 0.722791 0.334399i
\(639\) 3113.35 + 2949.12i 0.192742 + 0.182575i
\(640\) −767.364 4680.71i −0.0473949 0.289096i
\(641\) 22221.5 + 7487.29i 1.36926 + 0.461357i 0.905403 0.424553i \(-0.139569\pi\)
0.463857 + 0.885910i \(0.346465\pi\)
\(642\) −675.428 + 1695.20i −0.0415219 + 0.104212i
\(643\) 1086.23 1028.93i 0.0666200 0.0631058i −0.653665 0.756784i \(-0.726770\pi\)
0.720285 + 0.693678i \(0.244011\pi\)
\(644\) 848.957 + 645.361i 0.0519466 + 0.0394888i
\(645\) −2597.02 571.648i −0.158539 0.0348971i
\(646\) 22633.9 26646.7i 1.37851 1.62291i
\(647\) −11201.5 1218.23i −0.680641 0.0740241i −0.238734 0.971085i \(-0.576732\pi\)
−0.441907 + 0.897061i \(0.645698\pi\)
\(648\) 1757.57 0.106549
\(649\) −21108.2 + 917.804i −1.27669 + 0.0555115i
\(650\) −13722.6 −0.828067
\(651\) 2839.96 + 308.865i 0.170978 + 0.0185950i
\(652\) 1157.11 1362.26i 0.0695030 0.0818253i
\(653\) 12345.7 + 2717.49i 0.739852 + 0.162854i 0.568878 0.822422i \(-0.307378\pi\)
0.170974 + 0.985276i \(0.445309\pi\)
\(654\) 6096.13 + 4634.16i 0.364492 + 0.277079i
\(655\) −673.361 + 637.841i −0.0401685 + 0.0380496i
\(656\) 11343.9 28471.2i 0.675163 1.69453i
\(657\) 1637.70 + 551.804i 0.0972490 + 0.0327670i
\(658\) −1273.29 7766.71i −0.0754376 0.460149i
\(659\) −3958.64 3749.83i −0.234001 0.221658i 0.561709 0.827335i \(-0.310144\pi\)
−0.795711 + 0.605677i \(0.792902\pi\)
\(660\) −227.851 + 105.415i −0.0134380 + 0.00621710i
\(661\) −8698.55 + 6612.46i −0.511852 + 0.389100i −0.828976 0.559284i \(-0.811076\pi\)
0.317124 + 0.948384i \(0.397283\pi\)
\(662\) 1563.09 9534.40i 0.0917690 0.559766i
\(663\) −6030.46 + 11374.6i −0.353248 + 0.666297i
\(664\) −20613.3 + 4537.34i −1.20475 + 0.265185i
\(665\) −4072.93 1884.34i −0.237506 0.109882i
\(666\) 2184.93 + 5483.77i 0.127124 + 0.319057i
\(667\) 670.448 + 12365.7i 0.0389203 + 0.717843i
\(668\) −4.96572 7.32388i −0.000287619 0.000424206i
\(669\) −8069.86 9500.57i −0.466366 0.549048i
\(670\) 2220.14 + 4187.62i 0.128017 + 0.241466i
\(671\) 28323.4 9543.27i 1.62953 0.549052i
\(672\) −59.2858 + 1093.46i −0.00340327 + 0.0627697i
\(673\) −14074.1 + 8468.12i −0.806118 + 0.485025i −0.858013 0.513627i \(-0.828301\pi\)
0.0518951 + 0.998653i \(0.483474\pi\)
\(674\) −8297.43 29884.7i −0.474192 1.70788i
\(675\) −838.603 + 3020.38i −0.0478191 + 0.172229i
\(676\) 295.259 + 177.651i 0.0167990 + 0.0101076i
\(677\) −15846.5 + 23371.9i −0.899602 + 1.32681i 0.0451331 + 0.998981i \(0.485629\pi\)
−0.944736 + 0.327833i \(0.893682\pi\)
\(678\) −10203.2 + 1109.67i −0.577955 + 0.0628564i
\(679\) 19660.2 2138.18i 1.11118 0.120848i
\(680\) 3868.75 5705.99i 0.218176 0.321786i
\(681\) 13279.4 + 7989.95i 0.747236 + 0.449597i
\(682\) −2592.64 + 9337.85i −0.145568 + 0.524289i
\(683\) 6914.00 + 24902.0i 0.387345 + 1.39509i 0.858397 + 0.512986i \(0.171461\pi\)
−0.471052 + 0.882106i \(0.656125\pi\)
\(684\) 519.380 312.501i 0.0290336 0.0174689i
\(685\) −416.310 + 7678.39i −0.0232210 + 0.428286i
\(686\) 18875.6 6359.93i 1.05054 0.353970i
\(687\) −640.469 1208.05i −0.0355683 0.0670889i
\(688\) −13164.9 15498.9i −0.729514 0.858850i
\(689\) −15369.4 22668.1i −0.849821 1.25339i
\(690\) −187.518 3458.56i −0.0103459 0.190819i
\(691\) −4181.44 10494.6i −0.230202 0.577764i 0.767817 0.640669i \(-0.221343\pi\)
−0.998020 + 0.0629050i \(0.979963\pi\)
\(692\) 34.0038 + 15.7318i 0.00186796 + 0.000864211i
\(693\) −5505.50 + 1211.85i −0.301785 + 0.0664278i
\(694\) 7382.04 13924.0i 0.403773 0.761597i
\(695\) −134.688 + 821.561i −0.00735110 + 0.0448397i
\(696\) −4864.08 + 3697.58i −0.264903 + 0.201374i
\(697\) 43269.8 20018.8i 2.35145 1.08790i
\(698\) 11085.1 + 10500.3i 0.601111 + 0.569403i
\(699\) 637.082 + 3886.03i 0.0344730 + 0.210276i
\(700\) −889.257 299.626i −0.0480154 0.0161783i
\(701\) 8722.91 21892.9i 0.469985 1.17957i −0.482746 0.875760i \(-0.660361\pi\)
0.952731 0.303814i \(-0.0982601\pi\)
\(702\) −2316.92 + 2194.70i −0.124567 + 0.117997i
\(703\) −19931.1 15151.2i −1.06930 0.812857i
\(704\) 21305.2 + 4689.62i 1.14058 + 0.251061i
\(705\) −1157.45 + 1362.65i −0.0618326 + 0.0727949i
\(706\) −9621.83 1046.44i −0.512921 0.0557836i
\(707\) −16755.7 −0.891318
\(708\) −790.402 + 210.361i −0.0419564 + 0.0111665i
\(709\) −6336.86 −0.335664 −0.167832 0.985816i \(-0.553677\pi\)
−0.167832 + 0.985816i \(0.553677\pi\)
\(710\) 4145.17 + 450.815i 0.219106 + 0.0238293i
\(711\) 3676.40 4328.19i 0.193918 0.228298i
\(712\) 27848.4 + 6129.91i 1.46582 + 0.322652i
\(713\) −7444.42 5659.10i −0.391018 0.297244i
\(714\) −9138.43 + 8656.38i −0.478987 + 0.453721i
\(715\) −2075.03 + 5207.94i −0.108534 + 0.272400i
\(716\) 1154.51 + 388.999i 0.0602598 + 0.0203039i
\(717\) 1809.32 + 11036.3i 0.0942401 + 0.574839i
\(718\) 8106.38 + 7678.77i 0.421347 + 0.399121i
\(719\) −20026.3 + 9265.15i −1.03874 + 0.480573i −0.863710 0.503990i \(-0.831865\pi\)
−0.175032 + 0.984563i \(0.556003\pi\)
\(720\) 1463.32 1112.39i 0.0757428 0.0575782i
\(721\) 3941.01 24039.1i 0.203566 1.24170i
\(722\) −7794.54 + 14702.1i −0.401777 + 0.757831i
\(723\) 8307.46 1828.61i 0.427327 0.0940619i
\(724\) −705.333 326.322i −0.0362065 0.0167509i
\(725\) −4033.44 10123.2i −0.206618 0.518572i
\(726\) −401.336 7402.21i −0.0205165 0.378405i
\(727\) −8479.80 12506.8i −0.432597 0.638033i 0.547440 0.836845i \(-0.315602\pi\)
−0.980038 + 0.198811i \(0.936292\pi\)
\(728\) 7606.05 + 8954.53i 0.387224 + 0.455875i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 1592.34 536.521i 0.0807330 0.0272021i
\(731\) 1712.63 31587.7i 0.0866540 1.59824i
\(732\) 991.408 596.510i 0.0500594 0.0301198i
\(733\) 6153.19 + 22161.8i 0.310059 + 1.11673i 0.940304 + 0.340335i \(0.110541\pi\)
−0.630245 + 0.776396i \(0.717046\pi\)
\(734\) 3378.68 12168.9i 0.169904 0.611938i
\(735\) −1246.30 749.875i −0.0625449 0.0376320i
\(736\) 2011.64 2966.94i 0.100747 0.148591i
\(737\) −25103.8 + 2730.21i −1.25470 + 0.136457i
\(738\) 11749.0 1277.78i 0.586024 0.0637340i
\(739\) 20729.7 30574.0i 1.03187 1.52190i 0.190321 0.981722i \(-0.439047\pi\)
0.841552 0.540177i \(-0.181643\pi\)
\(740\) 343.966 + 206.957i 0.0170871 + 0.0102810i
\(741\) 3621.08 13042.0i 0.179519 0.646570i
\(742\) −7163.59 25800.9i −0.354425 1.27652i
\(743\) 21048.8 12664.6i 1.03931 0.625330i 0.109730 0.993961i \(-0.465001\pi\)
0.929575 + 0.368632i \(0.120174\pi\)
\(744\) 249.780 4606.92i 0.0123083 0.227013i
\(745\) −9296.58 + 3132.38i −0.457182 + 0.154042i
\(746\) 13561.7 + 25580.1i 0.665589 + 1.25543i
\(747\) −5667.63 6672.44i −0.277601 0.326817i
\(748\) −1676.03 2471.96i −0.0819275 0.120834i
\(749\) 150.855 + 2782.35i 0.00735930 + 0.135734i
\(750\) 2342.73 + 5879.81i 0.114059 + 0.286267i
\(751\) −4401.89 2036.53i −0.213885 0.0989536i 0.310022 0.950730i \(-0.399664\pi\)
−0.523906 + 0.851776i \(0.675526\pi\)
\(752\) −13352.6 + 2939.13i −0.647500 + 0.142525i
\(753\) 572.623 1080.08i 0.0277126 0.0522714i
\(754\) 1794.86 10948.2i 0.0866910 0.528792i
\(755\) 2752.31 2092.25i 0.132671 0.100854i
\(756\) −198.062 + 91.6333i −0.00952837 + 0.00440830i
\(757\) 2748.68 + 2603.69i 0.131972 + 0.125010i 0.750839 0.660485i \(-0.229649\pi\)
−0.618867 + 0.785496i \(0.712408\pi\)
\(758\) −342.492 2089.11i −0.0164114 0.100105i
\(759\) 17487.2 + 5892.13i 0.836293 + 0.281780i
\(760\) −2682.69 + 6733.04i −0.128041 + 0.321359i
\(761\) −24953.2 + 23636.9i −1.18864 + 1.12594i −0.199355 + 0.979927i \(0.563885\pi\)
−0.989283 + 0.146010i \(0.953357\pi\)
\(762\) 8022.46 + 6098.51i 0.381395 + 0.289929i
\(763\) 11419.6 + 2513.64i 0.541831 + 0.119266i
\(764\) 879.576 1035.52i 0.0416518 0.0490362i
\(765\) 2842.66 + 309.158i 0.134349 + 0.0146113i
\(766\) −4461.06 −0.210424
\(767\) −9583.28 + 15548.1i −0.451150 + 0.731953i
\(768\) 2756.90 0.129533
\(769\) −21900.5 2381.82i −1.02699 0.111691i −0.420913 0.907101i \(-0.638290\pi\)
−0.606072 + 0.795410i \(0.707256\pi\)
\(770\) −3548.43 + 4177.54i −0.166074 + 0.195517i