Properties

Label 177.4.e.b.4.4
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 4.4
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.05964 - 0.332755i) q^{2} +(1.94216 - 2.28649i) q^{3} +(1.43768 + 0.316458i) q^{4} +(12.7861 + 9.71975i) q^{5} +(-6.70314 + 6.34955i) q^{6} +(6.84669 - 17.1839i) q^{7} +(19.0391 + 6.41502i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-3.05964 - 0.332755i) q^{2} +(1.94216 - 2.28649i) q^{3} +(1.43768 + 0.316458i) q^{4} +(12.7861 + 9.71975i) q^{5} +(-6.70314 + 6.34955i) q^{6} +(6.84669 - 17.1839i) q^{7} +(19.0391 + 6.41502i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-35.8865 - 33.9935i) q^{10} +(-10.9276 + 5.05567i) q^{11} +(3.51578 - 2.67263i) q^{12} +(-9.50641 + 57.9866i) q^{13} +(-26.6664 + 50.2982i) q^{14} +(47.0567 - 10.3580i) q^{15} +(-66.8064 - 30.9079i) q^{16} +(12.5073 + 31.3909i) q^{17} +(1.49960 + 27.6585i) q^{18} +(66.0033 + 97.3475i) q^{19} +(15.3065 + 18.0202i) q^{20} +(-25.9934 - 49.0287i) q^{21} +(35.1169 - 11.8323i) q^{22} +(9.75166 - 179.859i) q^{23} +(51.6448 - 31.0736i) q^{24} +(35.5701 + 128.112i) q^{25} +(48.3815 - 174.254i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(15.2813 - 22.5383i) q^{28} +(280.238 - 30.4777i) q^{29} +(-147.423 + 16.0332i) q^{30} +(14.7460 - 21.7487i) q^{31} +(56.3990 + 33.9341i) q^{32} +(-9.66351 + 34.8048i) q^{33} +(-27.8222 - 100.207i) q^{34} +(254.566 - 153.167i) q^{35} +(0.717280 - 13.2295i) q^{36} +(116.275 - 39.1777i) q^{37} +(-169.553 - 319.811i) q^{38} +(114.123 + 134.355i) q^{39} +(181.084 + 267.078i) q^{40} +(12.7945 + 235.981i) q^{41} +(63.2157 + 158.659i) q^{42} +(146.521 + 67.7880i) q^{43} +(-17.3104 + 3.81030i) q^{44} +(67.7083 - 127.711i) q^{45} +(-89.6855 + 547.057i) q^{46} +(437.043 - 332.231i) q^{47} +(-200.419 + 92.7238i) q^{48} +(0.607253 + 0.575221i) q^{49} +(-66.2015 - 403.811i) q^{50} +(96.0661 + 32.3684i) q^{51} +(-32.0175 + 80.3579i) q^{52} +(24.1095 - 22.8377i) q^{53} +(66.1532 + 50.2883i) q^{54} +(-188.862 - 41.5716i) q^{55} +(240.590 - 283.244i) q^{56} +(350.773 + 38.1488i) q^{57} -867.568 q^{58} +(-262.509 + 369.416i) q^{59} +70.9305 q^{60} +(-235.307 - 25.5911i) q^{61} +(-52.3543 + 61.6362i) q^{62} +(-162.587 - 35.7881i) q^{63} +(307.533 + 233.780i) q^{64} +(-685.165 + 649.023i) q^{65} +(41.1483 - 103.274i) q^{66} +(-621.259 - 209.327i) q^{67} +(8.04760 + 49.0882i) q^{68} +(-392.305 - 371.611i) q^{69} +(-829.846 + 383.927i) q^{70} +(321.090 - 244.086i) q^{71} +(29.2529 - 178.435i) q^{72} +(-78.6661 + 148.380i) q^{73} +(-368.797 + 81.1783i) q^{74} +(362.008 + 167.483i) q^{75} +(64.0853 + 160.842i) q^{76} +(12.0579 + 222.394i) q^{77} +(-304.466 - 449.054i) q^{78} +(-165.834 - 195.235i) q^{79} +(-553.776 - 1044.53i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(39.3773 - 726.272i) q^{82} +(1209.69 - 727.845i) q^{83} +(-21.8547 - 78.7135i) q^{84} +(-145.192 + 522.935i) q^{85} +(-425.745 - 256.162i) q^{86} +(474.580 - 699.953i) q^{87} +(-240.485 + 26.1543i) q^{88} +(-1356.24 + 147.500i) q^{89} +(-249.659 + 368.220i) q^{90} +(931.348 + 560.373i) q^{91} +(70.9375 - 255.494i) q^{92} +(-21.0890 - 75.9558i) q^{93} +(-1447.74 + 871.079i) q^{94} +(-102.268 + 1886.23i) q^{95} +(187.126 - 63.0500i) q^{96} +(253.525 + 478.199i) q^{97} +(-1.66657 - 1.96203i) q^{98} +(60.8127 + 89.6920i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.05964 0.332755i −1.08174 0.117647i −0.450156 0.892950i \(-0.648631\pi\)
−0.631589 + 0.775303i \(0.717597\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 1.43768 + 0.316458i 0.179710 + 0.0395572i
\(5\) 12.7861 + 9.71975i 1.14362 + 0.869361i 0.992869 0.119210i \(-0.0380363\pi\)
0.150755 + 0.988571i \(0.451829\pi\)
\(6\) −6.70314 + 6.34955i −0.456091 + 0.432032i
\(7\) 6.84669 17.1839i 0.369687 0.927843i −0.620001 0.784601i \(-0.712868\pi\)
0.989688 0.143242i \(-0.0457528\pi\)
\(8\) 19.0391 + 6.41502i 0.841417 + 0.283506i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −35.8865 33.9935i −1.13483 1.07497i
\(11\) −10.9276 + 5.05567i −0.299528 + 0.138576i −0.563897 0.825845i \(-0.690698\pi\)
0.264369 + 0.964422i \(0.414836\pi\)
\(12\) 3.51578 2.67263i 0.0845766 0.0642935i
\(13\) −9.50641 + 57.9866i −0.202816 + 1.23712i 0.667493 + 0.744616i \(0.267367\pi\)
−0.870309 + 0.492506i \(0.836081\pi\)
\(14\) −26.6664 + 50.2982i −0.509064 + 0.960197i
\(15\) 47.0567 10.3580i 0.810000 0.178294i
\(16\) −66.8064 30.9079i −1.04385 0.482936i
\(17\) 12.5073 + 31.3909i 0.178439 + 0.447848i 0.990805 0.135300i \(-0.0431999\pi\)
−0.812366 + 0.583148i \(0.801821\pi\)
\(18\) 1.49960 + 27.6585i 0.0196366 + 0.362176i
\(19\) 66.0033 + 97.3475i 0.796957 + 1.17542i 0.981285 + 0.192559i \(0.0616787\pi\)
−0.184328 + 0.982865i \(0.559011\pi\)
\(20\) 15.3065 + 18.0202i 0.171132 + 0.201472i
\(21\) −25.9934 49.0287i −0.270106 0.509474i
\(22\) 35.1169 11.8323i 0.340316 0.114666i
\(23\) 9.75166 179.859i 0.0884070 1.63057i −0.532319 0.846544i \(-0.678679\pi\)
0.620726 0.784027i \(-0.286838\pi\)
\(24\) 51.6448 31.0736i 0.439248 0.264287i
\(25\) 35.5701 + 128.112i 0.284560 + 1.02489i
\(26\) 48.3815 174.254i 0.364938 1.31439i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 15.2813 22.5383i 0.103139 0.152119i
\(29\) 280.238 30.4777i 1.79445 0.195158i 0.850660 0.525716i \(-0.176203\pi\)
0.943786 + 0.330558i \(0.107237\pi\)
\(30\) −147.423 + 16.0332i −0.897189 + 0.0975751i
\(31\) 14.7460 21.7487i 0.0854340 0.126006i −0.782571 0.622562i \(-0.786092\pi\)
0.868005 + 0.496556i \(0.165402\pi\)
\(32\) 56.3990 + 33.9341i 0.311563 + 0.187461i
\(33\) −9.66351 + 34.8048i −0.0509758 + 0.183598i
\(34\) −27.8222 100.207i −0.140338 0.505450i
\(35\) 254.566 153.167i 1.22941 0.739713i
\(36\) 0.717280 13.2295i 0.00332074 0.0612475i
\(37\) 116.275 39.1777i 0.516636 0.174075i −0.0488919 0.998804i \(-0.515569\pi\)
0.565528 + 0.824729i \(0.308672\pi\)
\(38\) −169.553 319.811i −0.723819 1.36527i
\(39\) 114.123 + 134.355i 0.468570 + 0.551643i
\(40\) 181.084 + 267.078i 0.715795 + 1.05572i
\(41\) 12.7945 + 235.981i 0.0487357 + 0.898878i 0.916037 + 0.401094i \(0.131370\pi\)
−0.867301 + 0.497784i \(0.834147\pi\)
\(42\) 63.2157 + 158.659i 0.232248 + 0.582897i
\(43\) 146.521 + 67.7880i 0.519635 + 0.240409i 0.662133 0.749386i \(-0.269651\pi\)
−0.142498 + 0.989795i \(0.545513\pi\)
\(44\) −17.3104 + 3.81030i −0.0593100 + 0.0130551i
\(45\) 67.7083 127.711i 0.224297 0.423069i
\(46\) −89.6855 + 547.057i −0.287465 + 1.75346i
\(47\) 437.043 332.231i 1.35637 1.03108i 0.361241 0.932472i \(-0.382353\pi\)
0.995126 0.0986114i \(-0.0314401\pi\)
\(48\) −200.419 + 92.7238i −0.602667 + 0.278823i
\(49\) 0.607253 + 0.575221i 0.00177042 + 0.00167703i
\(50\) −66.2015 403.811i −0.187246 1.14215i
\(51\) 96.0661 + 32.3684i 0.263764 + 0.0888723i
\(52\) −32.0175 + 80.3579i −0.0853851 + 0.214301i
\(53\) 24.1095 22.8377i 0.0624848 0.0591887i −0.655820 0.754917i \(-0.727677\pi\)
0.718305 + 0.695729i \(0.244918\pi\)
\(54\) 66.1532 + 50.2883i 0.166709 + 0.126729i
\(55\) −188.862 41.5716i −0.463020 0.101919i
\(56\) 240.590 283.244i 0.574110 0.675894i
\(57\) 350.773 + 38.1488i 0.815105 + 0.0886480i
\(58\) −867.568 −1.96409
\(59\) −262.509 + 369.416i −0.579250 + 0.815150i
\(60\) 70.9305 0.152618
\(61\) −235.307 25.5911i −0.493900 0.0537149i −0.142220 0.989835i \(-0.545424\pi\)
−0.351680 + 0.936120i \(0.614390\pi\)
\(62\) −52.3543 + 61.6362i −0.107242 + 0.126255i
\(63\) −162.587 35.7881i −0.325143 0.0715694i
\(64\) 307.533 + 233.780i 0.600650 + 0.456602i
\(65\) −685.165 + 649.023i −1.30745 + 1.23848i
\(66\) 41.1483 103.274i 0.0767425 0.192609i
\(67\) −621.259 209.327i −1.13282 0.381691i −0.310418 0.950600i \(-0.600469\pi\)
−0.822401 + 0.568909i \(0.807366\pi\)
\(68\) 8.04760 + 49.0882i 0.0143517 + 0.0875414i
\(69\) −392.305 371.611i −0.684464 0.648358i
\(70\) −829.846 + 383.927i −1.41694 + 0.655544i
\(71\) 321.090 244.086i 0.536710 0.407996i −0.301400 0.953498i \(-0.597454\pi\)
0.838110 + 0.545502i \(0.183661\pi\)
\(72\) 29.2529 178.435i 0.0478818 0.292066i
\(73\) −78.6661 + 148.380i −0.126126 + 0.237898i −0.938531 0.345195i \(-0.887813\pi\)
0.812405 + 0.583093i \(0.198158\pi\)
\(74\) −368.797 + 81.1783i −0.579348 + 0.127524i
\(75\) 362.008 + 167.483i 0.557348 + 0.257857i
\(76\) 64.0853 + 160.842i 0.0967249 + 0.242761i
\(77\) 12.0579 + 222.394i 0.0178457 + 0.329145i
\(78\) −304.466 449.054i −0.441974 0.651863i
\(79\) −165.834 195.235i −0.236174 0.278046i 0.631288 0.775548i \(-0.282526\pi\)
−0.867463 + 0.497502i \(0.834251\pi\)
\(80\) −553.776 1044.53i −0.773926 1.45978i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 39.3773 726.272i 0.0530305 0.978090i
\(83\) 1209.69 727.845i 1.59976 0.962546i 0.615026 0.788507i \(-0.289145\pi\)
0.984739 0.174040i \(-0.0556821\pi\)
\(84\) −21.8547 78.7135i −0.0283874 0.102242i
\(85\) −145.192 + 522.935i −0.185274 + 0.667298i
\(86\) −425.745 256.162i −0.533829 0.321194i
\(87\) 474.580 699.953i 0.584831 0.862562i
\(88\) −240.485 + 26.1543i −0.291315 + 0.0316824i
\(89\) −1356.24 + 147.500i −1.61530 + 0.175674i −0.870691 0.491830i \(-0.836328\pi\)
−0.744606 + 0.667504i \(0.767363\pi\)
\(90\) −249.659 + 368.220i −0.292405 + 0.431264i
\(91\) 931.348 + 560.373i 1.07288 + 0.645528i
\(92\) 70.9375 255.494i 0.0803885 0.289533i
\(93\) −21.0890 75.9558i −0.0235143 0.0846909i
\(94\) −1447.74 + 871.079i −1.58855 + 0.955797i
\(95\) −102.268 + 1886.23i −0.110448 + 2.03709i
\(96\) 187.126 63.0500i 0.198942 0.0670314i
\(97\) 253.525 + 478.199i 0.265377 + 0.500554i 0.980011 0.198945i \(-0.0637515\pi\)
−0.714634 + 0.699499i \(0.753407\pi\)
\(98\) −1.66657 1.96203i −0.00171784 0.00202240i
\(99\) 60.8127 + 89.6920i 0.0617364 + 0.0910544i
\(100\) 10.5965 + 195.440i 0.0105965 + 0.195440i
\(101\) 252.296 + 633.214i 0.248558 + 0.623833i 0.999325 0.0367336i \(-0.0116953\pi\)
−0.750767 + 0.660567i \(0.770316\pi\)
\(102\) −283.156 131.002i −0.274869 0.127168i
\(103\) −680.335 + 149.753i −0.650829 + 0.143258i −0.528100 0.849182i \(-0.677095\pi\)
−0.122728 + 0.992440i \(0.539164\pi\)
\(104\) −552.978 + 1043.03i −0.521384 + 0.983435i
\(105\) 144.193 879.536i 0.134017 0.817466i
\(106\) −81.3656 + 61.8525i −0.0745559 + 0.0566759i
\(107\) −563.958 + 260.915i −0.509531 + 0.235734i −0.657772 0.753217i \(-0.728501\pi\)
0.148241 + 0.988951i \(0.452639\pi\)
\(108\) −28.8559 27.3338i −0.0257098 0.0243536i
\(109\) −201.711 1230.38i −0.177251 1.08119i −0.914208 0.405245i \(-0.867186\pi\)
0.736957 0.675940i \(-0.236262\pi\)
\(110\) 564.015 + 190.039i 0.488880 + 0.164723i
\(111\) 136.246 341.951i 0.116503 0.292401i
\(112\) −988.521 + 936.377i −0.833986 + 0.789994i
\(113\) −387.665 294.695i −0.322729 0.245333i 0.431247 0.902234i \(-0.358074\pi\)
−0.753977 + 0.656901i \(0.771867\pi\)
\(114\) −1060.54 233.443i −0.871306 0.191789i
\(115\) 1872.87 2204.91i 1.51866 1.78790i
\(116\) 412.538 + 44.8662i 0.330200 + 0.0359114i
\(117\) 528.846 0.417879
\(118\) 926.107 1042.93i 0.722500 0.813637i
\(119\) 625.052 0.481499
\(120\) 962.364 + 104.663i 0.732095 + 0.0796201i
\(121\) −767.818 + 903.945i −0.576873 + 0.679147i
\(122\) 711.437 + 156.599i 0.527955 + 0.116212i
\(123\) 564.415 + 429.057i 0.413753 + 0.314527i
\(124\) 28.0825 26.6012i 0.0203378 0.0192650i
\(125\) −47.3093 + 118.737i −0.0338518 + 0.0849615i
\(126\) 485.548 + 163.600i 0.343302 + 0.115672i
\(127\) 260.099 + 1586.54i 0.181733 + 1.10852i 0.907335 + 0.420408i \(0.138113\pi\)
−0.725602 + 0.688114i \(0.758439\pi\)
\(128\) −1245.43 1179.74i −0.860013 0.814647i
\(129\) 439.564 203.364i 0.300011 0.138800i
\(130\) 2312.32 1757.78i 1.56003 1.18590i
\(131\) 214.842 1310.48i 0.143289 0.874024i −0.813142 0.582065i \(-0.802245\pi\)
0.956431 0.291958i \(-0.0943069\pi\)
\(132\) −24.9073 + 46.9802i −0.0164235 + 0.0309780i
\(133\) 2124.71 467.685i 1.38523 0.304913i
\(134\) 1831.17 + 847.190i 1.18052 + 0.546165i
\(135\) −160.510 402.850i −0.102330 0.256828i
\(136\) 36.7541 + 677.889i 0.0231738 + 0.427415i
\(137\) 1290.58 + 1903.47i 0.804832 + 1.18704i 0.979308 + 0.202377i \(0.0648668\pi\)
−0.174475 + 0.984662i \(0.555823\pi\)
\(138\) 1076.66 + 1267.54i 0.664138 + 0.781883i
\(139\) −1321.95 2493.46i −0.806662 1.52153i −0.852589 0.522582i \(-0.824969\pi\)
0.0459270 0.998945i \(-0.485376\pi\)
\(140\) 414.455 139.646i 0.250199 0.0843019i
\(141\) 89.1643 1644.54i 0.0532552 0.982235i
\(142\) −1063.64 + 639.971i −0.628582 + 0.378205i
\(143\) −189.278 681.718i −0.110687 0.398658i
\(144\) −177.234 + 638.340i −0.102566 + 0.369410i
\(145\) 3879.39 + 2334.15i 2.22183 + 1.33683i
\(146\) 290.064 427.812i 0.164424 0.242507i
\(147\) 2.49462 0.271306i 0.00139968 0.000152224i
\(148\) 179.565 19.5289i 0.0997307 0.0108464i
\(149\) 1320.37 1947.40i 0.725966 1.07072i −0.268253 0.963348i \(-0.586446\pi\)
0.994219 0.107371i \(-0.0342432\pi\)
\(150\) −1051.88 632.897i −0.572573 0.344506i
\(151\) −78.2412 + 281.799i −0.0421668 + 0.151871i −0.981637 0.190761i \(-0.938905\pi\)
0.939470 + 0.342632i \(0.111318\pi\)
\(152\) 632.156 + 2276.82i 0.337333 + 1.21496i
\(153\) 260.585 156.789i 0.137693 0.0828474i
\(154\) 37.1102 684.457i 0.0194183 0.358150i
\(155\) 399.935 134.754i 0.207249 0.0698303i
\(156\) 121.554 + 229.275i 0.0623853 + 0.117671i
\(157\) −597.566 703.510i −0.303764 0.357619i 0.589008 0.808127i \(-0.299519\pi\)
−0.892772 + 0.450508i \(0.851243\pi\)
\(158\) 442.426 + 652.529i 0.222769 + 0.328560i
\(159\) −5.39367 99.4805i −0.00269023 0.0496183i
\(160\) 391.292 + 982.070i 0.193340 + 0.485246i
\(161\) −3023.91 1399.01i −1.48023 0.684828i
\(162\) 243.464 53.5904i 0.118076 0.0259905i
\(163\) −1643.28 + 3099.55i −0.789640 + 1.48942i 0.0805764 + 0.996748i \(0.474324\pi\)
−0.870216 + 0.492670i \(0.836021\pi\)
\(164\) −56.2835 + 343.314i −0.0267988 + 0.163465i
\(165\) −461.853 + 351.091i −0.217910 + 0.165651i
\(166\) −3943.40 + 1824.41i −1.84378 + 0.853022i
\(167\) 57.0637 + 54.0536i 0.0264415 + 0.0250467i 0.700806 0.713352i \(-0.252824\pi\)
−0.674365 + 0.738398i \(0.735582\pi\)
\(168\) −180.370 1100.21i −0.0828326 0.505256i
\(169\) −1190.08 400.983i −0.541682 0.182514i
\(170\) 618.245 1551.68i 0.278925 0.700049i
\(171\) 768.483 727.945i 0.343669 0.325540i
\(172\) 189.199 + 143.825i 0.0838738 + 0.0637592i
\(173\) −3938.78 866.992i −1.73098 0.381018i −0.765900 0.642960i \(-0.777706\pi\)
−0.965084 + 0.261942i \(0.915637\pi\)
\(174\) −1684.96 + 1983.68i −0.734116 + 0.864268i
\(175\) 2445.00 + 265.909i 1.05614 + 0.114862i
\(176\) 886.296 0.379586
\(177\) 334.830 + 1317.69i 0.142189 + 0.559567i
\(178\) 4198.69 1.76801
\(179\) 359.761 + 39.1264i 0.150222 + 0.0163377i 0.182921 0.983128i \(-0.441445\pi\)
−0.0326988 + 0.999465i \(0.510410\pi\)
\(180\) 137.758 162.182i 0.0570438 0.0671572i
\(181\) −2045.60 450.271i −0.840046 0.184908i −0.225949 0.974139i \(-0.572548\pi\)
−0.614096 + 0.789231i \(0.710479\pi\)
\(182\) −2663.12 2024.45i −1.08463 0.824517i
\(183\) −515.517 + 488.323i −0.208241 + 0.197256i
\(184\) 1339.46 3361.79i 0.536664 1.34693i
\(185\) 1867.51 + 629.236i 0.742171 + 0.250067i
\(186\) 39.2501 + 239.415i 0.0154729 + 0.0943803i
\(187\) −295.377 279.796i −0.115509 0.109416i
\(188\) 733.466 339.337i 0.284540 0.131642i
\(189\) −397.598 + 302.246i −0.153021 + 0.116324i
\(190\) 940.558 5737.15i 0.359133 2.19061i
\(191\) −1854.77 + 3498.46i −0.702651 + 1.32534i 0.233022 + 0.972471i \(0.425139\pi\)
−0.935673 + 0.352869i \(0.885206\pi\)
\(192\) 1131.81 249.131i 0.425425 0.0936431i
\(193\) −612.669 283.451i −0.228502 0.105716i 0.302298 0.953214i \(-0.402246\pi\)
−0.530800 + 0.847497i \(0.678108\pi\)
\(194\) −616.570 1547.48i −0.228181 0.572692i
\(195\) 153.282 + 2827.12i 0.0562911 + 1.03823i
\(196\) 0.691004 + 1.01915i 0.000251823 + 0.000371412i
\(197\) 1584.67 + 1865.62i 0.573113 + 0.674721i 0.969988 0.243151i \(-0.0781812\pi\)
−0.396875 + 0.917873i \(0.629905\pi\)
\(198\) −156.219 294.660i −0.0560707 0.105761i
\(199\) −3729.84 + 1256.73i −1.32865 + 0.447674i −0.892032 0.451973i \(-0.850720\pi\)
−0.436618 + 0.899647i \(0.643824\pi\)
\(200\) −144.618 + 2667.31i −0.0511300 + 0.943038i
\(201\) −1685.21 + 1013.95i −0.591369 + 0.355815i
\(202\) −561.227 2021.36i −0.195484 0.704070i
\(203\) 1394.98 5024.26i 0.482307 1.73711i
\(204\) 127.869 + 76.9363i 0.0438855 + 0.0264050i
\(205\) −2130.08 + 3141.63i −0.725714 + 1.07035i
\(206\) 2131.41 231.804i 0.720884 0.0784009i
\(207\) −1611.60 + 175.272i −0.541131 + 0.0588516i
\(208\) 2427.33 3580.05i 0.809160 1.19342i
\(209\) −1213.42 730.089i −0.401597 0.241633i
\(210\) −733.847 + 2643.08i −0.241144 + 0.868523i
\(211\) −627.216 2259.03i −0.204641 0.737052i −0.992611 0.121338i \(-0.961282\pi\)
0.787970 0.615714i \(-0.211132\pi\)
\(212\) 41.8889 25.2037i 0.0135705 0.00816509i
\(213\) 65.5079 1208.22i 0.0210729 0.388667i
\(214\) 1812.33 610.644i 0.578916 0.195060i
\(215\) 1214.56 + 2290.90i 0.385265 + 0.726687i
\(216\) −351.175 413.436i −0.110622 0.130235i
\(217\) −272.766 402.300i −0.0853298 0.125852i
\(218\) 207.746 + 3831.64i 0.0645427 + 1.19042i
\(219\) 186.487 + 468.047i 0.0575416 + 0.144419i
\(220\) −258.368 119.534i −0.0791779 0.0366316i
\(221\) −1939.15 + 426.839i −0.590233 + 0.129920i
\(222\) −530.648 + 1000.91i −0.160427 + 0.302597i
\(223\) 5.11196 31.1815i 0.00153508 0.00936355i −0.986048 0.166462i \(-0.946766\pi\)
0.987583 + 0.157098i \(0.0502140\pi\)
\(224\) 969.267 736.818i 0.289116 0.219780i
\(225\) 1086.03 502.449i 0.321785 0.148874i
\(226\) 1088.05 + 1030.66i 0.320248 + 0.303355i
\(227\) 280.713 + 1712.28i 0.0820775 + 0.500651i 0.995588 + 0.0938349i \(0.0299126\pi\)
−0.913510 + 0.406816i \(0.866639\pi\)
\(228\) 492.227 + 165.851i 0.142976 + 0.0481742i
\(229\) −667.874 + 1676.24i −0.192726 + 0.483707i −0.993305 0.115521i \(-0.963146\pi\)
0.800579 + 0.599228i \(0.204526\pi\)
\(230\) −6463.99 + 6123.01i −1.85314 + 1.75539i
\(231\) 531.919 + 404.355i 0.151505 + 0.115171i
\(232\) 5530.99 + 1217.46i 1.56520 + 0.344528i
\(233\) 727.355 856.309i 0.204509 0.240767i −0.650340 0.759643i \(-0.725374\pi\)
0.854849 + 0.518876i \(0.173650\pi\)
\(234\) −1618.08 175.976i −0.452038 0.0491621i
\(235\) 8817.28 2.44756
\(236\) −494.309 + 448.030i −0.136342 + 0.123577i
\(237\) −768.477 −0.210624
\(238\) −1912.43 207.989i −0.520859 0.0566469i
\(239\) 1499.40 1765.23i 0.405808 0.477754i −0.520856 0.853645i \(-0.674387\pi\)
0.926664 + 0.375890i \(0.122663\pi\)
\(240\) −3463.83 762.447i −0.931622 0.205066i
\(241\) −2736.90 2080.53i −0.731531 0.556096i 0.171752 0.985140i \(-0.445057\pi\)
−0.903283 + 0.429045i \(0.858850\pi\)
\(242\) 2650.03 2510.25i 0.703928 0.666796i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −330.198 111.256i −0.0866341 0.0291904i
\(245\) 2.17340 + 13.2572i 0.000566750 + 0.00345702i
\(246\) −1584.13 1500.57i −0.410572 0.388915i
\(247\) −6272.30 + 2901.88i −1.61578 + 0.747538i
\(248\) 420.268 319.479i 0.107609 0.0818022i
\(249\) 685.198 4179.52i 0.174388 1.06372i
\(250\) 184.260 347.551i 0.0466144 0.0879241i
\(251\) 3327.79 732.503i 0.836846 0.184204i 0.224182 0.974547i \(-0.428029\pi\)
0.612664 + 0.790343i \(0.290098\pi\)
\(252\) −222.423 102.904i −0.0556004 0.0257235i
\(253\) 802.743 + 2014.73i 0.199478 + 0.500653i
\(254\) −267.881 4940.77i −0.0661746 1.22052i
\(255\) 913.698 + 1347.60i 0.224384 + 0.330942i
\(256\) 1417.31 + 1668.58i 0.346022 + 0.407369i
\(257\) 188.784 + 356.085i 0.0458212 + 0.0864280i 0.905365 0.424634i \(-0.139597\pi\)
−0.859544 + 0.511062i \(0.829252\pi\)
\(258\) −1412.58 + 475.952i −0.340865 + 0.114851i
\(259\) 122.875 2266.30i 0.0294791 0.543710i
\(260\) −1190.44 + 716.262i −0.283953 + 0.170849i
\(261\) −678.724 2444.54i −0.160965 0.579744i
\(262\) −1093.41 + 3938.10i −0.257828 + 0.928613i
\(263\) −6681.46 4020.10i −1.56653 0.942547i −0.992301 0.123850i \(-0.960476\pi\)
−0.574225 0.818698i \(-0.694697\pi\)
\(264\) −407.258 + 600.660i −0.0949431 + 0.140031i
\(265\) 530.243 57.6674i 0.122915 0.0133679i
\(266\) −6656.48 + 723.935i −1.53434 + 0.166870i
\(267\) −2296.78 + 3387.50i −0.526445 + 0.776448i
\(268\) −826.930 497.547i −0.188481 0.113405i
\(269\) 490.830 1767.81i 0.111251 0.400689i −0.886866 0.462026i \(-0.847123\pi\)
0.998117 + 0.0613372i \(0.0195365\pi\)
\(270\) 357.052 + 1285.98i 0.0804796 + 0.289861i
\(271\) 1925.46 1158.51i 0.431599 0.259685i −0.283136 0.959080i \(-0.591375\pi\)
0.714735 + 0.699395i \(0.246547\pi\)
\(272\) 134.662 2483.69i 0.0300186 0.553661i
\(273\) 3090.11 1041.18i 0.685062 0.230824i
\(274\) −3315.33 6253.37i −0.730972 1.37876i
\(275\) −1036.39 1220.13i −0.227260 0.267551i
\(276\) −446.411 658.407i −0.0973579 0.143592i
\(277\) −236.627 4364.33i −0.0513269 0.946669i −0.904881 0.425665i \(-0.860040\pi\)
0.853554 0.521004i \(-0.174442\pi\)
\(278\) 3214.96 + 8068.95i 0.693600 + 1.74080i
\(279\) −214.630 99.2985i −0.0460558 0.0213077i
\(280\) 5829.27 1283.12i 1.24416 0.273861i
\(281\) −2216.37 + 4180.52i −0.470525 + 0.887504i 0.528726 + 0.848793i \(0.322670\pi\)
−0.999250 + 0.0387112i \(0.987675\pi\)
\(282\) −820.040 + 5002.02i −0.173165 + 1.05626i
\(283\) −6153.37 + 4677.67i −1.29251 + 0.982540i −0.292857 + 0.956156i \(0.594606\pi\)
−0.999652 + 0.0263833i \(0.991601\pi\)
\(284\) 538.868 249.307i 0.112591 0.0520903i
\(285\) 4114.22 + 3897.20i 0.855106 + 0.810000i
\(286\) 352.276 + 2148.79i 0.0728341 + 0.444268i
\(287\) 4142.67 + 1395.83i 0.852035 + 0.287084i
\(288\) 219.265 550.314i 0.0448622 0.112596i
\(289\) 2737.86 2593.44i 0.557268 0.527872i
\(290\) −11092.8 8432.55i −2.24618 1.70750i
\(291\) 1585.78 + 349.057i 0.319450 + 0.0703163i
\(292\) −160.053 + 188.429i −0.0320767 + 0.0377636i
\(293\) 5703.61 + 620.305i 1.13723 + 0.123681i 0.657302 0.753627i \(-0.271698\pi\)
0.479927 + 0.877308i \(0.340663\pi\)
\(294\) −7.72289 −0.00153200
\(295\) −6947.10 + 2171.87i −1.37110 + 0.428648i
\(296\) 2465.10 0.484058
\(297\) 323.187 + 35.1487i 0.0631422 + 0.00686713i
\(298\) −4687.86 + 5518.97i −0.911276 + 1.07284i
\(299\) 10336.7 + 2275.28i 1.99928 + 0.440076i
\(300\) 467.452 + 355.348i 0.0899611 + 0.0683867i
\(301\) 2168.05 2053.68i 0.415164 0.393264i
\(302\) 333.160 836.169i 0.0634808 0.159325i
\(303\) 1937.83 + 652.932i 0.367411 + 0.123795i
\(304\) −1400.63 8543.46i −0.264249 1.61184i
\(305\) −2759.92 2614.33i −0.518139 0.490807i
\(306\) −849.469 + 393.006i −0.158696 + 0.0734205i
\(307\) 5560.44 4226.94i 1.03372 0.785811i 0.0565750 0.998398i \(-0.481982\pi\)
0.977142 + 0.212587i \(0.0681889\pi\)
\(308\) −53.0430 + 323.548i −0.00981300 + 0.0598566i
\(309\) −978.910 + 1846.42i −0.180221 + 0.339932i
\(310\) −1268.50 + 279.217i −0.232406 + 0.0511563i
\(311\) 764.852 + 353.858i 0.139456 + 0.0645192i 0.488376 0.872633i \(-0.337589\pi\)
−0.348920 + 0.937152i \(0.613452\pi\)
\(312\) 1310.90 + 3290.10i 0.237868 + 0.597004i
\(313\) −508.991 9387.79i −0.0919165 1.69530i −0.573744 0.819035i \(-0.694510\pi\)
0.481827 0.876266i \(-0.339973\pi\)
\(314\) 1594.24 + 2351.33i 0.286523 + 0.422589i
\(315\) −1731.00 2037.89i −0.309622 0.364515i
\(316\) −176.633 333.165i −0.0314442 0.0593101i
\(317\) −4985.56 + 1679.83i −0.883334 + 0.297630i −0.724169 0.689622i \(-0.757777\pi\)
−0.159164 + 0.987252i \(0.550880\pi\)
\(318\) −16.6000 + 306.169i −0.00292730 + 0.0539909i
\(319\) −2908.26 + 1749.84i −0.510443 + 0.307123i
\(320\) 1659.86 + 5978.28i 0.289966 + 1.04436i
\(321\) −498.718 + 1796.22i −0.0867156 + 0.312321i
\(322\) 8786.53 + 5286.68i 1.52066 + 0.914954i
\(323\) −2230.31 + 3289.46i −0.384203 + 0.566657i
\(324\) −118.541 + 12.8921i −0.0203260 + 0.00221058i
\(325\) −7766.90 + 844.702i −1.32563 + 0.144171i
\(326\) 6059.22 8936.68i 1.02941 1.51827i
\(327\) −3205.01 1928.39i −0.542010 0.326116i
\(328\) −1270.22 + 4574.93i −0.213830 + 0.770148i
\(329\) −2716.73 9784.79i −0.455253 1.63967i
\(330\) 1529.93 920.528i 0.255212 0.153556i
\(331\) −237.159 + 4374.14i −0.0393819 + 0.726357i 0.910454 + 0.413610i \(0.135732\pi\)
−0.949836 + 0.312748i \(0.898751\pi\)
\(332\) 1969.48 663.594i 0.325570 0.109697i
\(333\) −517.255 975.647i −0.0851214 0.160556i
\(334\) −156.608 184.373i −0.0256562 0.0302049i
\(335\) −5908.88 8714.95i −0.963692 1.42134i
\(336\) 221.148 + 4078.83i 0.0359066 + 0.662258i
\(337\) 9.09858 + 22.8357i 0.00147072 + 0.00369122i 0.929710 0.368292i \(-0.120057\pi\)
−0.928240 + 0.371983i \(0.878678\pi\)
\(338\) 3507.77 + 1622.87i 0.564489 + 0.261161i
\(339\) −1426.72 + 314.045i −0.228581 + 0.0503145i
\(340\) −374.227 + 705.868i −0.0596921 + 0.112591i
\(341\) −51.1846 + 312.213i −0.00812846 + 0.0495814i
\(342\) −2593.51 + 1971.53i −0.410061 + 0.311720i
\(343\) 5772.33 2670.57i 0.908679 0.420400i
\(344\) 2354.77 + 2230.56i 0.369072 + 0.349604i
\(345\) −1404.09 8564.57i −0.219112 1.33652i
\(346\) 11762.7 + 3963.33i 1.82766 + 0.615809i
\(347\) −4086.61 + 10256.6i −0.632221 + 1.58675i 0.167161 + 0.985930i \(0.446540\pi\)
−0.799381 + 0.600824i \(0.794839\pi\)
\(348\) 903.801 856.126i 0.139221 0.131877i
\(349\) −2742.58 2084.86i −0.420650 0.319770i 0.373346 0.927692i \(-0.378210\pi\)
−0.793997 + 0.607922i \(0.792003\pi\)
\(350\) −7392.32 1627.17i −1.12896 0.248503i
\(351\) 1027.10 1209.20i 0.156190 0.183881i
\(352\) −787.868 85.6858i −0.119300 0.0129746i
\(353\) 3631.83 0.547599 0.273800 0.961787i \(-0.411719\pi\)
0.273800 + 0.961787i \(0.411719\pi\)
\(354\) −585.991 4143.06i −0.0879805 0.622037i
\(355\) 6477.95 0.968490
\(356\) −1996.52 217.135i −0.297235 0.0323262i
\(357\) 1213.95 1429.17i 0.179969 0.211876i
\(358\) −1087.72 239.425i −0.160580 0.0353464i
\(359\) −5666.87 4307.85i −0.833109 0.633313i 0.0991628 0.995071i \(-0.468384\pi\)
−0.932272 + 0.361758i \(0.882177\pi\)
\(360\) 2108.37 1997.16i 0.308670 0.292387i
\(361\) −2581.33 + 6478.65i −0.376342 + 0.944548i
\(362\) 6108.96 + 2058.35i 0.886961 + 0.298852i
\(363\) 575.633 + 3511.21i 0.0832312 + 0.507688i
\(364\) 1161.65 + 1100.37i 0.167272 + 0.158448i
\(365\) −2448.05 + 1132.59i −0.351060 + 0.162418i
\(366\) 1739.79 1322.55i 0.248470 0.188882i
\(367\) −2099.27 + 12805.0i −0.298586 + 1.82129i 0.230905 + 0.972976i \(0.425831\pi\)
−0.529490 + 0.848316i \(0.677617\pi\)
\(368\) −6210.53 + 11714.3i −0.879745 + 1.65938i
\(369\) 2077.22 457.230i 0.293051 0.0645053i
\(370\) −5504.50 2546.66i −0.773420 0.357822i
\(371\) −227.371 570.658i −0.0318181 0.0798573i
\(372\) −6.28251 115.874i −0.000875627 0.0161500i
\(373\) −2588.76 3818.14i −0.359360 0.530016i 0.604437 0.796653i \(-0.293398\pi\)
−0.963797 + 0.266637i \(0.914088\pi\)
\(374\) 810.643 + 954.363i 0.112078 + 0.131949i
\(375\) 179.609 + 338.779i 0.0247333 + 0.0466519i
\(376\) 10452.2 3521.75i 1.43359 0.483032i
\(377\) −896.761 + 16539.8i −0.122508 + 2.25953i
\(378\) 1317.08 792.461i 0.179215 0.107830i
\(379\) −995.567 3585.71i −0.134931 0.485977i 0.864943 0.501871i \(-0.167355\pi\)
−0.999874 + 0.0158932i \(0.994941\pi\)
\(380\) −743.942 + 2679.44i −0.100430 + 0.361716i
\(381\) 4132.75 + 2486.59i 0.555714 + 0.334362i
\(382\) 6839.05 10086.8i 0.916011 1.35102i
\(383\) 6782.60 737.652i 0.904895 0.0984132i 0.356175 0.934419i \(-0.384081\pi\)
0.548720 + 0.836006i \(0.315115\pi\)
\(384\) −5116.27 + 556.428i −0.679919 + 0.0739456i
\(385\) −2007.44 + 2960.75i −0.265737 + 0.391933i
\(386\) 1780.23 + 1071.13i 0.234744 + 0.141241i
\(387\) 388.714 1400.02i 0.0510580 0.183894i
\(388\) 213.158 + 767.727i 0.0278904 + 0.100452i
\(389\) −1535.20 + 923.700i −0.200097 + 0.120395i −0.612076 0.790799i \(-0.709665\pi\)
0.411979 + 0.911193i \(0.364838\pi\)
\(390\) 471.753 8700.98i 0.0612517 1.12972i
\(391\) 5767.90 1943.43i 0.746023 0.251365i
\(392\) 7.87149 + 14.8472i 0.00101421 + 0.00191300i
\(393\) −2579.13 3036.39i −0.331044 0.389735i
\(394\) −4227.73 6235.43i −0.540584 0.797301i
\(395\) −222.738 4108.16i −0.0283725 0.523301i
\(396\) 59.0455 + 148.193i 0.00749280 + 0.0188055i
\(397\) 6148.55 + 2844.62i 0.777296 + 0.359616i 0.768090 0.640342i \(-0.221207\pi\)
0.00920650 + 0.999958i \(0.497069\pi\)
\(398\) 11830.1 2604.01i 1.48993 0.327958i
\(399\) 3057.18 5766.45i 0.383585 0.723517i
\(400\) 1583.36 9658.08i 0.197920 1.20726i
\(401\) −7290.74 + 5542.28i −0.907936 + 0.690195i −0.951103 0.308873i \(-0.900048\pi\)
0.0431676 + 0.999068i \(0.486255\pi\)
\(402\) 5493.52 2541.57i 0.681571 0.315328i
\(403\) 1120.95 + 1061.82i 0.138557 + 0.131248i
\(404\) 162.335 + 990.202i 0.0199913 + 0.121942i
\(405\) −1232.85 415.394i −0.151261 0.0509657i
\(406\) −5939.97 + 14908.2i −0.726098 + 1.82237i
\(407\) −1072.55 + 1015.97i −0.130624 + 0.123734i
\(408\) 1621.37 + 1232.53i 0.196739 + 0.149557i
\(409\) −4546.70 1000.81i −0.549682 0.120994i −0.0685589 0.997647i \(-0.521840\pi\)
−0.481123 + 0.876653i \(0.659771\pi\)
\(410\) 7562.67 8903.46i 0.910960 1.07246i
\(411\) 6858.77 + 745.937i 0.823159 + 0.0895240i
\(412\) −1025.50 −0.122627
\(413\) 4550.69 + 7040.20i 0.542191 + 0.838803i
\(414\) 4989.24 0.592289
\(415\) 22541.7 + 2451.55i 2.66633 + 0.289981i
\(416\) −2503.88 + 2947.79i −0.295103 + 0.347422i
\(417\) −8268.68 1820.07i −0.971029 0.213740i
\(418\) 3469.67 + 2637.58i 0.405998 + 0.308632i
\(419\) 7168.90 6790.74i 0.835856 0.791765i −0.144395 0.989520i \(-0.546124\pi\)
0.980251 + 0.197755i \(0.0633651\pi\)
\(420\) 485.639 1218.86i 0.0564208 0.141606i
\(421\) −11200.6 3773.91i −1.29663 0.436887i −0.415430 0.909625i \(-0.636369\pi\)
−0.881203 + 0.472739i \(0.843266\pi\)
\(422\) 1167.35 + 7120.51i 0.134658 + 0.821377i
\(423\) −3587.04 3397.83i −0.412312 0.390563i
\(424\) 605.527 280.147i 0.0693561 0.0320875i
\(425\) −3576.66 + 2718.91i −0.408220 + 0.310321i
\(426\) −602.473 + 3674.92i −0.0685209 + 0.417959i
\(427\) −2050.83 + 3868.27i −0.232427 + 0.438404i
\(428\) −893.360 + 196.643i −0.100893 + 0.0222082i
\(429\) −1926.35 891.223i −0.216795 0.100300i
\(430\) −2953.79 7413.46i −0.331266 0.831415i
\(431\) −256.784 4736.10i −0.0286980 0.529303i −0.977172 0.212449i \(-0.931856\pi\)
0.948474 0.316854i \(-0.102627\pi\)
\(432\) 1115.34 + 1645.00i 0.124217 + 0.183206i
\(433\) 2504.88 + 2948.97i 0.278006 + 0.327295i 0.883389 0.468640i \(-0.155256\pi\)
−0.605383 + 0.795934i \(0.706980\pi\)
\(434\) 700.697 + 1321.66i 0.0774989 + 0.146179i
\(435\) 12871.4 4336.88i 1.41870 0.478017i
\(436\) 99.3678 1832.73i 0.0109148 0.201312i
\(437\) 18152.4 10922.0i 1.98707 1.19558i
\(438\) −414.837 1494.11i −0.0452549 0.162994i
\(439\) −2857.71 + 10292.5i −0.310685 + 1.11899i 0.629129 + 0.777301i \(0.283412\pi\)
−0.939814 + 0.341686i \(0.889002\pi\)
\(440\) −3329.07 2003.04i −0.360699 0.217025i
\(441\) 4.22460 6.23082i 0.000456171 0.000672802i
\(442\) 6075.13 660.710i 0.653766 0.0711013i
\(443\) 7381.76 802.814i 0.791688 0.0861013i 0.296666 0.954981i \(-0.404125\pi\)
0.495022 + 0.868880i \(0.335160\pi\)
\(444\) 304.091 448.501i 0.0325034 0.0479390i
\(445\) −18774.7 11296.4i −2.00002 1.20337i
\(446\) −26.0166 + 93.7032i −0.00276215 + 0.00994837i
\(447\) −1888.33 6801.16i −0.199810 0.719651i
\(448\) 6122.84 3683.99i 0.645708 0.388509i
\(449\) 374.484 6906.95i 0.0393608 0.725967i −0.910541 0.413419i \(-0.864335\pi\)
0.949902 0.312548i \(-0.101183\pi\)
\(450\) −3490.03 + 1175.93i −0.365604 + 0.123186i
\(451\) −1332.85 2514.03i −0.139161 0.262485i
\(452\) −464.080 546.357i −0.0482931 0.0568550i
\(453\) 492.374 + 726.197i 0.0510678 + 0.0753194i
\(454\) −289.111 5332.35i −0.0298869 0.551232i
\(455\) 6461.63 + 16217.5i 0.665771 + 1.67096i
\(456\) 6433.66 + 2976.53i 0.660710 + 0.305677i
\(457\) −18791.1 + 4136.23i −1.92343 + 0.423380i −0.924306 + 0.381652i \(0.875355\pi\)
−0.999129 + 0.0417277i \(0.986714\pi\)
\(458\) 2601.23 4906.44i 0.265387 0.500574i
\(459\) 147.602 900.334i 0.0150098 0.0915556i
\(460\) 3390.35 2577.28i 0.343643 0.261231i
\(461\) 555.915 257.193i 0.0561638 0.0259842i −0.391606 0.920133i \(-0.628080\pi\)
0.447770 + 0.894149i \(0.352218\pi\)
\(462\) −1492.93 1414.18i −0.150341 0.142410i
\(463\) −1135.73 6927.62i −0.113999 0.695365i −0.980549 0.196274i \(-0.937116\pi\)
0.866550 0.499091i \(-0.166333\pi\)
\(464\) −19663.7 6625.47i −1.96738 0.662887i
\(465\) 468.625 1176.16i 0.0467354 0.117297i
\(466\) −2510.38 + 2377.96i −0.249552 + 0.236388i
\(467\) −775.275 589.349i −0.0768211 0.0583979i 0.566059 0.824365i \(-0.308467\pi\)
−0.642880 + 0.765967i \(0.722261\pi\)
\(468\) 760.312 + 167.357i 0.0750971 + 0.0165301i
\(469\) −7850.61 + 9242.46i −0.772937 + 0.909972i
\(470\) −26977.7 2934.00i −2.64763 0.287947i
\(471\) −2769.13 −0.270902
\(472\) −7367.74 + 5349.34i −0.718491 + 0.521660i
\(473\) −1943.85 −0.188960
\(474\) 2351.26 + 255.715i 0.227842 + 0.0247793i
\(475\) −10123.6 + 11918.4i −0.977902 + 1.15128i
\(476\) 898.626 + 197.803i 0.0865304 + 0.0190468i
\(477\) −237.936 180.874i −0.0228393 0.0173620i
\(478\) −5175.01 + 4902.03i −0.495187 + 0.469066i
\(479\) 6767.48 16985.1i 0.645541 1.62019i −0.131925 0.991260i \(-0.542116\pi\)
0.777465 0.628926i \(-0.216505\pi\)
\(480\) 3005.44 + 1012.65i 0.285790 + 0.0962937i
\(481\) 1166.42 + 7114.84i 0.110570 + 0.674447i
\(482\) 7681.60 + 7276.40i 0.725907 + 0.687616i
\(483\) −9071.72 + 4197.03i −0.854612 + 0.395386i
\(484\) −1389.94 + 1056.60i −0.130535 + 0.0992302i
\(485\) −1406.37 + 8578.50i −0.131670 + 0.803153i
\(486\) 350.311 660.757i 0.0326964 0.0616719i
\(487\) 11491.3 2529.43i 1.06924 0.235359i 0.354723 0.934972i \(-0.384575\pi\)
0.714522 + 0.699613i \(0.246644\pi\)
\(488\) −4315.85 1996.73i −0.400347 0.185220i
\(489\) 3895.57 + 9777.14i 0.360253 + 0.904167i
\(490\) −2.23843 41.2854i −0.000206371 0.00380629i
\(491\) −698.749 1030.58i −0.0642243 0.0947237i 0.794221 0.607629i \(-0.207879\pi\)
−0.858445 + 0.512906i \(0.828569\pi\)
\(492\) 675.671 + 795.462i 0.0619139 + 0.0728906i
\(493\) 4461.74 + 8415.74i 0.407600 + 0.768815i
\(494\) 20156.6 6791.54i 1.83580 0.618554i
\(495\) −94.2259 + 1737.89i −0.00855584 + 0.157803i
\(496\) −1657.33 + 997.183i −0.150033 + 0.0902718i
\(497\) −1995.95 7188.76i −0.180142 0.648813i
\(498\) −3487.22 + 12559.8i −0.313787 + 1.13016i
\(499\) −5315.24 3198.08i −0.476840 0.286905i 0.256774 0.966471i \(-0.417340\pi\)
−0.733614 + 0.679567i \(0.762168\pi\)
\(500\) −105.591 + 155.735i −0.00944435 + 0.0139294i
\(501\) 234.420 25.4947i 0.0209044 0.00227349i
\(502\) −10425.6 + 1133.85i −0.926925 + 0.100809i
\(503\) 1414.49 2086.21i 0.125385 0.184930i −0.759815 0.650139i \(-0.774711\pi\)
0.885201 + 0.465209i \(0.154021\pi\)
\(504\) −2865.92 1724.37i −0.253290 0.152400i
\(505\) −2928.80 + 10548.6i −0.258079 + 0.929518i
\(506\) −1785.69 6431.47i −0.156884 0.565047i
\(507\) −3228.16 + 1942.32i −0.282776 + 0.170141i
\(508\) −128.131 + 2363.24i −0.0111908 + 0.206402i
\(509\) 1588.23 535.135i 0.138304 0.0466001i −0.249298 0.968427i \(-0.580200\pi\)
0.387602 + 0.921827i \(0.373303\pi\)
\(510\) −2347.16 4427.22i −0.203792 0.384393i
\(511\) 2011.14 + 2367.70i 0.174105 + 0.204973i
\(512\) 3920.43 + 5782.20i 0.338399 + 0.499101i
\(513\) −171.922 3170.91i −0.0147964 0.272903i
\(514\) −459.122 1152.31i −0.0393989 0.0988837i
\(515\) −10154.4 4697.92i −0.868847 0.401971i
\(516\) 696.309 153.269i 0.0594056 0.0130762i
\(517\) −3096.20 + 5840.05i −0.263386 + 0.496799i
\(518\) −1130.08 + 6893.16i −0.0958547 + 0.584688i
\(519\) −9632.11 + 7322.14i −0.814649 + 0.619280i
\(520\) −17208.4 + 7961.45i −1.45123 + 0.671409i
\(521\) −14318.3 13563.0i −1.20402 1.14051i −0.986380 0.164482i \(-0.947405\pi\)
−0.217642 0.976029i \(-0.569837\pi\)
\(522\) 1263.21 + 7705.26i 0.105918 + 0.646073i
\(523\) 2581.05 + 869.655i 0.215796 + 0.0727101i 0.425123 0.905136i \(-0.360231\pi\)
−0.209327 + 0.977846i \(0.567127\pi\)
\(524\) 723.586 1816.06i 0.0603244 0.151403i
\(525\) 5356.57 5074.01i 0.445295 0.421806i
\(526\) 19105.1 + 14523.3i 1.58369 + 1.20389i
\(527\) 867.143 + 190.873i 0.0716762 + 0.0157771i
\(528\) 1721.33 2026.50i 0.141877 0.167031i
\(529\) −20158.4 2192.36i −1.65681 0.180189i
\(530\) −1641.54 −0.134536
\(531\) 3663.17 + 1793.57i 0.299375 + 0.146581i
\(532\) 3202.66 0.261002
\(533\) −13805.3 1501.42i −1.12191 0.122015i
\(534\) 8154.52 9600.25i 0.660825 0.777984i
\(535\) −9746.85 2145.44i −0.787651 0.173375i
\(536\) −10485.4 7970.77i −0.844961 0.642323i
\(537\) 788.175 746.599i 0.0633375 0.0599965i
\(538\) −2090.01 + 5245.53i −0.167485 + 0.420355i
\(539\) −9.54397 3.21574i −0.000762686 0.000256979i
\(540\) −103.277 629.965i −0.00823028 0.0502025i
\(541\) 3175.29 + 3007.80i 0.252341 + 0.239030i 0.803405 0.595433i \(-0.203019\pi\)
−0.551064 + 0.834463i \(0.685778\pi\)
\(542\) −6276.71 + 2903.92i −0.497431 + 0.230136i
\(543\) −5002.42 + 3802.74i −0.395349 + 0.300536i
\(544\) −359.826 + 2194.84i −0.0283592 + 0.172984i
\(545\) 9379.90 17692.4i 0.737231 1.39057i
\(546\) −9801.07 + 2157.38i −0.768218 + 0.169098i
\(547\) 21158.8 + 9789.10i 1.65390 + 0.765177i 0.999963 + 0.00863077i \(0.00274729\pi\)
0.653940 + 0.756546i \(0.273115\pi\)
\(548\) 1253.08 + 3145.00i 0.0976807 + 0.245160i
\(549\) 115.329 + 2127.12i 0.00896563 + 0.165361i
\(550\) 2764.96 + 4078.01i 0.214361 + 0.316158i
\(551\) 21463.6 + 25268.9i 1.65949 + 1.95370i
\(552\) −5085.24 9591.78i −0.392105 0.739589i
\(553\) −4490.31 + 1512.96i −0.345294 + 0.116343i
\(554\) −728.262 + 13432.0i −0.0558500 + 1.03009i
\(555\) 5065.73 3047.95i 0.387438 0.233114i
\(556\) −1111.47 4003.14i −0.0847781 0.305343i
\(557\) 5647.39 20340.0i 0.429600 1.54728i −0.359577 0.933115i \(-0.617079\pi\)
0.789177 0.614165i \(-0.210507\pi\)
\(558\) 623.648 + 375.237i 0.0473139 + 0.0284678i
\(559\) −5323.69 + 7851.85i −0.402805 + 0.594093i
\(560\) −21740.7 + 2364.44i −1.64056 + 0.178421i
\(561\) −1213.42 + 131.967i −0.0913202 + 0.00993167i
\(562\) 8172.37 12053.3i 0.613400 0.904697i
\(563\) −17218.1 10359.8i −1.28891 0.775514i −0.304692 0.952451i \(-0.598553\pi\)
−0.984222 + 0.176938i \(0.943381\pi\)
\(564\) 648.617 2336.11i 0.0484250 0.174411i
\(565\) −2092.36 7536.00i −0.155799 0.561136i
\(566\) 20383.6 12264.4i 1.51376 0.910797i
\(567\) −81.1169 + 1496.11i −0.00600810 + 0.110813i
\(568\) 7679.08 2587.38i 0.567266 0.191134i
\(569\) −8116.17 15308.7i −0.597975 1.12790i −0.979101 0.203377i \(-0.934808\pi\)
0.381126 0.924523i \(-0.375536\pi\)
\(570\) −11291.2 13293.0i −0.829713 0.976813i
\(571\) 1702.34 + 2510.76i 0.124765 + 0.184014i 0.884942 0.465702i \(-0.154198\pi\)
−0.760177 + 0.649716i \(0.774888\pi\)
\(572\) −56.3867 1039.99i −0.00412176 0.0760214i
\(573\) 4396.94 + 11035.5i 0.320567 + 0.804561i
\(574\) −12210.6 5649.22i −0.887909 0.410791i
\(575\) 23388.9 5148.28i 1.69632 0.373388i
\(576\) 1628.53 3071.73i 0.117804 0.222202i
\(577\) 1079.96 6587.46i 0.0779190 0.475285i −0.918826 0.394663i \(-0.870861\pi\)
0.996745 0.0806215i \(-0.0256905\pi\)
\(578\) −9239.83 + 7023.94i −0.664924 + 0.505462i
\(579\) −1838.01 + 850.353i −0.131926 + 0.0610353i
\(580\) 4838.67 + 4583.43i 0.346405 + 0.328132i
\(581\) −4224.86 25770.5i −0.301681 1.84017i
\(582\) −4735.76 1595.66i −0.337291 0.113647i
\(583\) −148.000 + 371.452i −0.0105138 + 0.0263876i
\(584\) −2449.59 + 2320.38i −0.173570 + 0.164414i
\(585\) 6761.88 + 5140.25i 0.477896 + 0.363287i
\(586\) −17244.6 3795.81i −1.21564 0.267583i
\(587\) 4997.83 5883.90i 0.351418 0.413721i −0.557844 0.829946i \(-0.688371\pi\)
0.909262 + 0.416225i \(0.136647\pi\)
\(588\) 3.67232 + 0.399389i 0.000257558 + 2.80111e-5i
\(589\) 3090.46 0.216197
\(590\) 21978.3 4333.45i 1.53361 0.302382i
\(591\) 7343.41 0.511112
\(592\) −8978.83 976.506i −0.623357 0.0677942i
\(593\) 11345.6 13357.0i 0.785677 0.924971i −0.212965 0.977060i \(-0.568312\pi\)
0.998642 + 0.0520891i \(0.0165880\pi\)
\(594\) −977.139 215.085i −0.0674958 0.0148570i
\(595\) 7991.98 + 6075.35i 0.550654 + 0.418597i
\(596\) 2514.54 2381.90i 0.172818 0.163702i
\(597\) −4370.45 + 10969.0i −0.299615 + 0.751978i
\(598\) −30869.4 10401.1i −2.11094 0.711259i
\(599\) 134.113 + 818.050i 0.00914806 + 0.0558007i 0.991006 0.133817i \(-0.0427234\pi\)
−0.981858 + 0.189618i \(0.939275\pi\)
\(600\) 5817.90 + 5511.01i 0.395858 + 0.374977i
\(601\) 368.364 170.423i 0.0250015 0.0115669i −0.407349 0.913273i \(-0.633547\pi\)
0.432350 + 0.901706i \(0.357685\pi\)
\(602\) −7316.81 + 5562.10i −0.495367 + 0.376568i
\(603\) −954.544 + 5822.46i −0.0644644 + 0.393215i
\(604\) −201.664 + 380.378i −0.0135854 + 0.0256248i
\(605\) −18603.5 + 4094.94i −1.25015 + 0.275179i
\(606\) −5711.80 2642.56i −0.382881 0.177140i
\(607\) 4643.53 + 11654.4i 0.310502 + 0.779302i 0.998560 + 0.0536462i \(0.0170843\pi\)
−0.688058 + 0.725656i \(0.741536\pi\)
\(608\) 419.112 + 7730.07i 0.0279560 + 0.515618i
\(609\) −8778.62 12947.5i −0.584118 0.861509i
\(610\) 7574.41 + 8917.28i 0.502752 + 0.591885i
\(611\) 15110.2 + 28500.9i 1.00048 + 1.88711i
\(612\) 424.256 142.949i 0.0280221 0.00944175i
\(613\) 134.522 2481.10i 0.00886341 0.163476i −0.990751 0.135695i \(-0.956673\pi\)
0.999614 0.0277808i \(-0.00884404\pi\)
\(614\) −18419.5 + 11082.6i −1.21067 + 0.728434i
\(615\) 3046.35 + 10972.0i 0.199741 + 0.719401i
\(616\) −1197.09 + 4311.53i −0.0782990 + 0.282007i
\(617\) 19988.8 + 12026.8i 1.30424 + 0.784736i 0.986550 0.163458i \(-0.0522647\pi\)
0.317692 + 0.948194i \(0.397092\pi\)
\(618\) 3609.51 5323.63i 0.234945 0.346518i
\(619\) 5113.27 556.102i 0.332019 0.0361092i 0.0594086 0.998234i \(-0.481079\pi\)
0.272610 + 0.962125i \(0.412113\pi\)
\(620\) 617.624 67.1706i 0.0400070 0.00435103i
\(621\) −2729.23 + 4025.31i −0.176361 + 0.260113i
\(622\) −2222.42 1337.19i −0.143265 0.0861998i
\(623\) −6751.15 + 24315.4i −0.434156 + 1.56369i
\(624\) −3471.46 12503.1i −0.222708 0.802122i
\(625\) 12481.8 7510.03i 0.798833 0.480642i
\(626\) −1566.51 + 28892.6i −0.100017 + 1.84470i
\(627\) −4025.99 + 1356.51i −0.256431 + 0.0864017i
\(628\) −636.479 1200.53i −0.0404431 0.0762839i
\(629\) 2684.11 + 3159.98i 0.170147 + 0.200313i
\(630\) 4618.11 + 6811.21i 0.292048 + 0.430738i
\(631\) −942.737 17387.8i −0.0594767 1.09698i −0.864140 0.503251i \(-0.832137\pi\)
0.804663 0.593731i \(-0.202346\pi\)
\(632\) −1904.89 4780.92i −0.119893 0.300909i
\(633\) −6383.39 2953.27i −0.400817 0.185438i
\(634\) 15813.0 3480.70i 0.990557 0.218038i
\(635\) −12095.1 + 22813.7i −0.755871 + 1.42572i
\(636\) 23.7270 144.728i 0.00147930 0.00902334i
\(637\) −39.1279 + 29.7442i −0.00243376 + 0.00185009i
\(638\) 9480.48 4386.14i 0.588301 0.272177i
\(639\) −2635.36 2496.34i −0.163150 0.154544i
\(640\) −4457.49 27189.5i −0.275309 1.67931i
\(641\) −25183.0 8485.16i −1.55175 0.522845i −0.592539 0.805542i \(-0.701874\pi\)
−0.959209 + 0.282697i \(0.908771\pi\)
\(642\) 2123.60 5329.83i 0.130548 0.327650i
\(643\) 5522.92 5231.59i 0.338729 0.320861i −0.499360 0.866395i \(-0.666432\pi\)
0.838089 + 0.545533i \(0.183673\pi\)
\(644\) −3904.69 2968.27i −0.238923 0.181624i
\(645\) 7596.96 + 1672.22i 0.463768 + 0.102083i
\(646\) 7918.51 9322.39i 0.482275 0.567778i
\(647\) 17344.6 + 1886.34i 1.05392 + 0.114621i 0.618640 0.785675i \(-0.287684\pi\)
0.435280 + 0.900295i \(0.356649\pi\)
\(648\) −1627.35 −0.0986550
\(649\) 1000.96 5364.00i 0.0605410 0.324431i
\(650\) 24045.0 1.45096
\(651\) −1449.61 157.654i −0.0872728 0.00949149i
\(652\) −3343.38 + 3936.13i −0.200824 + 0.236428i
\(653\) 13105.7 + 2884.78i 0.785398 + 0.172879i 0.589525 0.807750i \(-0.299315\pi\)
0.195873 + 0.980629i \(0.437246\pi\)
\(654\) 9164.47 + 6966.65i 0.547950 + 0.416540i
\(655\) 15484.5 14667.7i 0.923710 0.874985i
\(656\) 6438.92 16160.5i 0.383228 0.961829i
\(657\) 1432.37 + 482.621i 0.0850564 + 0.0286588i
\(658\) 5056.27 + 30841.9i 0.299565 + 1.82727i
\(659\) −1089.79 1032.30i −0.0644189 0.0610208i 0.654813 0.755791i \(-0.272747\pi\)
−0.719232 + 0.694770i \(0.755506\pi\)
\(660\) −775.103 + 358.601i −0.0457134 + 0.0211493i
\(661\) 4352.18 3308.44i 0.256097 0.194680i −0.469246 0.883067i \(-0.655474\pi\)
0.725343 + 0.688388i \(0.241681\pi\)
\(662\) 2181.14 13304.3i 0.128055 0.781100i
\(663\) −2790.18 + 5262.83i −0.163441 + 0.308283i
\(664\) 27700.5 6097.34i 1.61896 0.356359i
\(665\) 31712.6 + 14671.8i 1.84927 + 0.855562i
\(666\) 1257.96 + 3157.25i 0.0731907 + 0.183695i
\(667\) −2748.90 50700.5i −0.159577 2.94322i
\(668\) 64.9338 + 95.7702i 0.00376102 + 0.00554710i
\(669\) −61.3680 72.2479i −0.00354652 0.00417529i
\(670\) 15179.1 + 28630.8i 0.875253 + 1.65090i
\(671\) 2700.73 909.981i 0.155381 0.0523538i
\(672\) 197.747 3647.23i 0.0113516 0.209368i
\(673\) 27727.9 16683.3i 1.58816 0.955564i 0.600379 0.799715i \(-0.295016\pi\)
0.987781 0.155849i \(-0.0498114\pi\)
\(674\) −20.2396 72.8965i −0.00115668 0.00416598i
\(675\) 960.391 3459.02i 0.0547637 0.197241i
\(676\) −1584.06 953.095i −0.0901261 0.0542271i
\(677\) 1597.21 2355.71i 0.0906733 0.133733i −0.779647 0.626219i \(-0.784601\pi\)
0.870320 + 0.492486i \(0.163912\pi\)
\(678\) 4469.75 486.115i 0.253186 0.0275356i
\(679\) 9953.12 1082.47i 0.562542 0.0611801i
\(680\) −6118.97 + 9024.80i −0.345076 + 0.508949i
\(681\) 4460.28 + 2683.66i 0.250982 + 0.151011i
\(682\) 260.497 938.225i 0.0146260 0.0526781i
\(683\) 494.531 + 1781.14i 0.0277053 + 0.0997854i 0.976110 0.217277i \(-0.0697174\pi\)
−0.948405 + 0.317062i \(0.897304\pi\)
\(684\) 1335.20 803.362i 0.0746382 0.0449083i
\(685\) −1999.69 + 36882.1i −0.111539 + 2.05722i
\(686\) −18549.9 + 6250.19i −1.03242 + 0.347862i
\(687\) 2535.58 + 4782.60i 0.140813 + 0.265601i
\(688\) −7693.37 9057.34i −0.426319 0.501901i
\(689\) 1095.09 + 1615.13i 0.0605507 + 0.0893056i
\(690\) 1446.10 + 26671.7i 0.0797854 + 1.47156i
\(691\) −5412.52 13584.4i −0.297977 0.747866i −0.999384 0.0351045i \(-0.988824\pi\)
0.701407 0.712761i \(-0.252556\pi\)
\(692\) −5388.35 2492.92i −0.296003 0.136946i
\(693\) 1957.62 430.905i 0.107307 0.0236201i
\(694\) 15916.5 30021.6i 0.870578 1.64208i
\(695\) 7333.21 44730.6i 0.400237 2.44134i
\(696\) 13525.8 10282.0i 0.736629 0.559970i
\(697\) −7247.63 + 3353.11i −0.393864 + 0.182221i
\(698\) 7697.55 + 7291.51i 0.417416 + 0.395398i
\(699\) −545.299 3326.18i −0.0295066 0.179982i
\(700\) 3430.98 + 1156.03i 0.185255 + 0.0624198i
\(701\) 305.931 767.829i 0.0164834 0.0413702i −0.920505 0.390731i \(-0.872222\pi\)
0.936988 + 0.349361i \(0.113601\pi\)
\(702\) −3544.93 + 3357.93i −0.190591 + 0.180537i
\(703\) 11488.4 + 8733.25i 0.616349 + 0.468536i
\(704\) −4542.53 999.885i −0.243186 0.0535293i
\(705\) 17124.6 20160.6i 0.914821 1.07701i
\(706\) −11112.1 1208.51i −0.592363 0.0644233i
\(707\) 12608.5 0.670708
\(708\) 64.3872 + 2000.37i 0.00341782 + 0.106185i
\(709\) −24355.8 −1.29013 −0.645064 0.764128i \(-0.723169\pi\)
−0.645064 + 0.764128i \(0.723169\pi\)
\(710\) −19820.2 2155.57i −1.04766 0.113940i
\(711\) −1492.51 + 1757.11i −0.0787248 + 0.0926820i
\(712\) −26767.8 5892.05i −1.40894 0.310132i
\(713\) −3767.89 2864.28i −0.197908 0.150446i
\(714\) −4189.81 + 3968.80i −0.219607 + 0.208023i
\(715\) 4206.00 10556.3i 0.219993 0.552142i
\(716\) 504.840 + 170.100i 0.0263502 + 0.00887842i
\(717\) −1124.10 6856.72i −0.0585500 0.357139i
\(718\) 15905.1 + 15066.1i 0.826704 + 0.783096i
\(719\) −21882.8 + 10124.1i −1.13504 + 0.525124i −0.895189 0.445687i \(-0.852960\pi\)
−0.239848 + 0.970811i \(0.577098\pi\)
\(720\) −8470.64 + 6439.21i −0.438447 + 0.333299i
\(721\) −2084.70 + 12716.1i −0.107681 + 0.656828i
\(722\) 10053.7 18963.4i 0.518229 0.977484i
\(723\) −10072.6 + 2217.15i −0.518125 + 0.114048i
\(724\) −2798.43 1294.69i −0.143650 0.0664597i
\(725\) 13872.6 + 34817.7i 0.710644 + 1.78358i
\(726\) −592.855 10934.6i −0.0303070 0.558980i
\(727\) 6009.85 + 8863.86i 0.306593 + 0.452191i 0.949506 0.313748i \(-0.101585\pi\)
−0.642913 + 0.765939i \(0.722274\pi\)
\(728\) 14137.2 + 16643.6i 0.719725 + 0.847326i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 7867.02 2650.71i 0.398865 0.134393i
\(731\) −295.343 + 5447.29i −0.0149435 + 0.275616i
\(732\) −895.682 + 538.914i −0.0452259 + 0.0272115i
\(733\) 8604.32 + 30990.0i 0.433571 + 1.56158i 0.781403 + 0.624026i \(0.214504\pi\)
−0.347832 + 0.937557i \(0.613082\pi\)
\(734\) 10683.9 38480.0i 0.537263 1.93505i
\(735\) 34.5334 + 20.7781i 0.00173304 + 0.00104274i
\(736\) 6653.34 9812.94i 0.333214 0.491453i
\(737\) 7847.18 853.432i 0.392204 0.0426548i
\(738\) −6507.68 + 707.753i −0.324595 + 0.0353018i
\(739\) 2147.25 3166.95i 0.106885 0.157643i −0.770485 0.637458i \(-0.779986\pi\)
0.877370 + 0.479815i \(0.159296\pi\)
\(740\) 2485.75 + 1495.63i 0.123484 + 0.0742978i
\(741\) −5546.71 + 19977.4i −0.274984 + 0.990404i
\(742\) 505.782 + 1821.66i 0.0250241 + 0.0901285i
\(743\) −24507.6 + 14745.8i −1.21009 + 0.728088i −0.970104 0.242688i \(-0.921971\pi\)
−0.239987 + 0.970776i \(0.577143\pi\)
\(744\) 85.7419 1581.42i 0.00422507 0.0779268i
\(745\) 35810.6 12066.0i 1.76107 0.593375i
\(746\) 6650.17 + 12543.6i 0.326381 + 0.615619i
\(747\) −8225.66 9684.00i −0.402893 0.474323i
\(748\) −336.115 495.732i −0.0164299 0.0242323i
\(749\) 622.286 + 11477.4i 0.0303576 + 0.559913i
\(750\) −436.808 1096.31i −0.0212666 0.0533752i
\(751\) 11491.8 + 5316.66i 0.558377 + 0.258333i 0.678717 0.734400i \(-0.262536\pi\)
−0.120340 + 0.992733i \(0.538399\pi\)
\(752\) −39465.8 + 8687.09i −1.91379 + 0.421257i
\(753\) 4788.25 9031.59i 0.231731 0.437091i
\(754\) 8247.46 50307.3i 0.398349 2.42982i
\(755\) −3739.42 + 2842.63i −0.180254 + 0.137025i
\(756\) −667.268 + 308.711i −0.0321009 + 0.0148515i
\(757\) 18380.4 + 17410.9i 0.882494 + 0.835942i 0.987352 0.158545i \(-0.0506802\pi\)
−0.104858 + 0.994487i \(0.533439\pi\)
\(758\) 1852.91 + 11302.2i 0.0887871 + 0.541578i
\(759\) 6165.71 + 2077.47i 0.294863 + 0.0993510i
\(760\) −14047.3 + 35256.1i −0.670459 + 1.68273i
\(761\) −4645.03 + 4400.01i −0.221264 + 0.209593i −0.790300 0.612720i \(-0.790075\pi\)
0.569036 + 0.822313i \(0.307317\pi\)
\(762\) −11817.3 8983.26i −0.561804 0.427072i
\(763\) −22523.8 4957.87i −1.06870 0.235238i
\(764\) −3773.68 + 4442.72i −0.178700 + 0.210382i
\(765\) 4855.82 + 528.103i 0.229494 + 0.0249589i
\(766\) −20997.7 −0.990443
\(767\) −18925.6 18733.8i −0.890959 0.881928i
\(768\) 6567.83 0.308589
\(769\) −40107.0 4361.90i −1.88075 0.204544i −0.905301 0.424770i \(-0.860355\pi\)
−0.975449 + 0.220226i \(0.929320\pi\)
\(770\) 7127.25 8390.84i 0.333569 0.392708i
\(771\) 1180.83 + 259.921i 0.0551578 + 0.0121412i