Properties

Label 76.5.l.a.23.6
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.6
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.55482 + 1.83391i) q^{2} +(-12.3954 + 2.18564i) q^{3} +(9.27354 - 13.0385i) q^{4} +(-26.3005 + 22.0687i) q^{5} +(40.0551 - 30.5016i) q^{6} +(-82.9404 - 47.8857i) q^{7} +(-9.05443 + 63.3563i) q^{8} +(72.7534 - 26.4801i) q^{9} +O(q^{10})\) \(q+(-3.55482 + 1.83391i) q^{2} +(-12.3954 + 2.18564i) q^{3} +(9.27354 - 13.0385i) q^{4} +(-26.3005 + 22.0687i) q^{5} +(40.0551 - 30.5016i) q^{6} +(-82.9404 - 47.8857i) q^{7} +(-9.05443 + 63.3563i) q^{8} +(72.7534 - 26.4801i) q^{9} +(53.0215 - 126.683i) q^{10} +(-45.2460 + 26.1228i) q^{11} +(-86.4517 + 181.885i) q^{12} +(-18.4064 + 104.388i) q^{13} +(382.657 + 18.1198i) q^{14} +(277.770 - 331.034i) q^{15} +(-84.0029 - 241.825i) q^{16} +(172.470 + 62.7741i) q^{17} +(-210.063 + 227.555i) q^{18} +(360.978 - 3.95319i) q^{19} +(43.8436 + 547.573i) q^{20} +(1132.74 + 412.283i) q^{21} +(112.935 - 175.839i) q^{22} +(-430.190 + 512.681i) q^{23} +(-26.2409 - 805.115i) q^{24} +(96.1568 - 545.332i) q^{25} +(-126.007 - 404.836i) q^{26} +(38.9953 - 22.5139i) q^{27} +(-1393.51 + 637.346i) q^{28} +(159.392 - 58.0139i) q^{29} +(-380.338 + 1686.17i) q^{30} +(-1324.70 - 764.813i) q^{31} +(742.102 + 705.593i) q^{32} +(503.746 - 422.693i) q^{33} +(-728.224 + 93.1446i) q^{34} +(3238.15 - 570.973i) q^{35} +(329.422 - 1194.16i) q^{36} -1216.54 q^{37} +(-1275.96 + 676.055i) q^{38} -1334.16i q^{39} +(-1160.06 - 1866.12i) q^{40} +(-426.483 - 2418.70i) q^{41} +(-4782.78 + 611.748i) q^{42} +(32.3779 + 38.5864i) q^{43} +(-78.9896 + 832.188i) q^{44} +(-1329.07 + 2302.01i) q^{45} +(589.040 - 2611.42i) q^{46} +(2.66221 + 7.31435i) q^{47} +(1569.79 + 2813.92i) q^{48} +(3385.58 + 5863.99i) q^{49} +(658.270 + 2114.90i) q^{50} +(-2275.04 - 401.151i) q^{51} +(1190.37 + 1208.04i) q^{52} +(-573.054 - 480.850i) q^{53} +(-97.3328 + 151.547i) q^{54} +(613.495 - 1685.56i) q^{55} +(3784.84 - 4821.22i) q^{56} +(-4465.82 + 837.970i) q^{57} +(-460.218 + 498.540i) q^{58} +(-5.09169 + 13.9893i) q^{59} +(-1740.26 - 6691.55i) q^{60} +(1631.00 + 1368.58i) q^{61} +(6111.66 + 289.403i) q^{62} +(-7302.22 - 1287.58i) q^{63} +(-3932.03 - 1147.31i) q^{64} +(-1819.61 - 3151.66i) q^{65} +(-1015.55 + 2426.43i) q^{66} +(505.748 + 1389.53i) q^{67} +(2417.89 - 1666.61i) q^{68} +(4211.84 - 7295.12i) q^{69} +(-10463.9 + 7968.19i) q^{70} +(4482.54 + 5342.09i) q^{71} +(1018.94 + 4849.15i) q^{72} +(-828.757 - 4700.11i) q^{73} +(4324.59 - 2231.03i) q^{74} +6969.76i q^{75} +(3296.00 - 4743.26i) q^{76} +5003.63 q^{77} +(2446.73 + 4742.70i) q^{78} +(4675.80 - 824.469i) q^{79} +(7546.10 + 4506.29i) q^{80} +(-5238.19 + 4395.37i) q^{81} +(5951.76 + 7815.94i) q^{82} +(4488.79 + 2591.60i) q^{83} +(15880.0 - 10945.9i) q^{84} +(-5921.40 + 2155.21i) q^{85} +(-185.862 - 77.7898i) q^{86} +(-1848.93 + 1067.48i) q^{87} +(-1245.37 - 3103.14i) q^{88} +(1043.47 - 5917.79i) q^{89} +(502.915 - 10620.6i) q^{90} +(6525.32 - 7776.58i) q^{91} +(2695.18 + 10363.4i) q^{92} +(18091.7 + 6584.85i) q^{93} +(-22.8775 - 21.1190i) q^{94} +(-9406.67 + 8070.31i) q^{95} +(-10740.8 - 7124.13i) q^{96} +(-8368.03 - 3045.71i) q^{97} +(-22789.2 - 14636.6i) q^{98} +(-2600.07 + 3098.64i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.55482 + 1.83391i −0.888706 + 0.458478i
\(3\) −12.3954 + 2.18564i −1.37726 + 0.242849i −0.812769 0.582587i \(-0.802041\pi\)
−0.564496 + 0.825436i \(0.690930\pi\)
\(4\) 9.27354 13.0385i 0.579596 0.814904i
\(5\) −26.3005 + 22.0687i −1.05202 + 0.882749i −0.993305 0.115526i \(-0.963145\pi\)
−0.0587151 + 0.998275i \(0.518700\pi\)
\(6\) 40.0551 30.5016i 1.11264 0.847267i
\(7\) −82.9404 47.8857i −1.69266 0.977259i −0.952356 0.304989i \(-0.901347\pi\)
−0.740306 0.672270i \(-0.765319\pi\)
\(8\) −9.05443 + 63.3563i −0.141475 + 0.989942i
\(9\) 72.7534 26.4801i 0.898190 0.326914i
\(10\) 53.0215 126.683i 0.530215 1.26683i
\(11\) −45.2460 + 26.1228i −0.373934 + 0.215891i −0.675176 0.737657i \(-0.735932\pi\)
0.301242 + 0.953548i \(0.402599\pi\)
\(12\) −86.4517 + 181.885i −0.600359 + 1.26309i
\(13\) −18.4064 + 104.388i −0.108914 + 0.617680i 0.880671 + 0.473728i \(0.157092\pi\)
−0.989585 + 0.143952i \(0.954019\pi\)
\(14\) 382.657 + 18.1198i 1.95233 + 0.0924478i
\(15\) 277.770 331.034i 1.23453 1.47126i
\(16\) −84.0029 241.825i −0.328136 0.944630i
\(17\) 172.470 + 62.7741i 0.596784 + 0.217211i 0.622710 0.782452i \(-0.286031\pi\)
−0.0259268 + 0.999664i \(0.508254\pi\)
\(18\) −210.063 + 227.555i −0.648344 + 0.702331i
\(19\) 360.978 3.95319i 0.999940 0.0109507i
\(20\) 43.8436 + 547.573i 0.109609 + 1.36893i
\(21\) 1132.74 + 412.283i 2.56857 + 0.934883i
\(22\) 112.935 175.839i 0.233336 0.363304i
\(23\) −430.190 + 512.681i −0.813214 + 0.969151i −0.999912 0.0132663i \(-0.995777\pi\)
0.186698 + 0.982417i \(0.440222\pi\)
\(24\) −26.2409 805.115i −0.0455572 1.39777i
\(25\) 96.1568 545.332i 0.153851 0.872531i
\(26\) −126.007 404.836i −0.186400 0.598870i
\(27\) 38.9953 22.5139i 0.0534915 0.0308833i
\(28\) −1393.51 + 637.346i −1.77743 + 0.812941i
\(29\) 159.392 58.0139i 0.189527 0.0689821i −0.245513 0.969393i \(-0.578956\pi\)
0.435040 + 0.900411i \(0.356734\pi\)
\(30\) −380.338 + 1686.17i −0.422598 + 1.87353i
\(31\) −1324.70 764.813i −1.37846 0.795852i −0.386482 0.922297i \(-0.626310\pi\)
−0.991974 + 0.126445i \(0.959643\pi\)
\(32\) 742.102 + 705.593i 0.724709 + 0.689055i
\(33\) 503.746 422.693i 0.462577 0.388148i
\(34\) −728.224 + 93.1446i −0.629952 + 0.0805749i
\(35\) 3238.15 570.973i 2.64339 0.466101i
\(36\) 329.422 1194.16i 0.254184 0.921417i
\(37\) −1216.54 −0.888634 −0.444317 0.895870i \(-0.646554\pi\)
−0.444317 + 0.895870i \(0.646554\pi\)
\(38\) −1275.96 + 676.055i −0.883632 + 0.468182i
\(39\) 1334.16i 0.877158i
\(40\) −1160.06 1866.12i −0.725035 1.16633i
\(41\) −426.483 2418.70i −0.253708 1.43885i −0.799368 0.600842i \(-0.794832\pi\)
0.545660 0.838007i \(-0.316279\pi\)
\(42\) −4782.78 + 611.748i −2.71133 + 0.346796i
\(43\) 32.3779 + 38.5864i 0.0175110 + 0.0208688i 0.774729 0.632294i \(-0.217886\pi\)
−0.757218 + 0.653162i \(0.773442\pi\)
\(44\) −78.9896 + 832.188i −0.0408004 + 0.429849i
\(45\) −1329.07 + 2302.01i −0.656330 + 1.13680i
\(46\) 589.040 2611.42i 0.278374 1.23413i
\(47\) 2.66221 + 7.31435i 0.00120516 + 0.00331116i 0.940294 0.340364i \(-0.110550\pi\)
−0.939089 + 0.343675i \(0.888328\pi\)
\(48\) 1569.79 + 2813.92i 0.681333 + 1.22132i
\(49\) 3385.58 + 5863.99i 1.41007 + 2.44231i
\(50\) 658.270 + 2114.90i 0.263308 + 0.845961i
\(51\) −2275.04 401.151i −0.874679 0.154229i
\(52\) 1190.37 + 1208.04i 0.440224 + 0.446759i
\(53\) −573.054 480.850i −0.204006 0.171182i 0.535060 0.844814i \(-0.320289\pi\)
−0.739067 + 0.673632i \(0.764733\pi\)
\(54\) −97.3328 + 151.547i −0.0333789 + 0.0519708i
\(55\) 613.495 1685.56i 0.202808 0.557211i
\(56\) 3784.84 4821.22i 1.20690 1.53738i
\(57\) −4465.82 + 837.970i −1.37452 + 0.257916i
\(58\) −460.218 + 498.540i −0.136807 + 0.148199i
\(59\) −5.09169 + 13.9893i −0.00146271 + 0.00401876i −0.940422 0.340010i \(-0.889570\pi\)
0.938959 + 0.344029i \(0.111792\pi\)
\(60\) −1740.26 6691.55i −0.483405 1.85876i
\(61\) 1631.00 + 1368.58i 0.438324 + 0.367798i 0.835082 0.550126i \(-0.185420\pi\)
−0.396758 + 0.917923i \(0.629865\pi\)
\(62\) 6111.66 + 289.403i 1.58992 + 0.0752869i
\(63\) −7302.22 1287.58i −1.83981 0.324409i
\(64\) −3932.03 1147.31i −0.959969 0.280105i
\(65\) −1819.61 3151.66i −0.430677 0.745955i
\(66\) −1015.55 + 2426.43i −0.233137 + 0.557031i
\(67\) 505.748 + 1389.53i 0.112664 + 0.309542i 0.983191 0.182578i \(-0.0584443\pi\)
−0.870527 + 0.492120i \(0.836222\pi\)
\(68\) 2417.89 1666.61i 0.522900 0.360426i
\(69\) 4211.84 7295.12i 0.884654 1.53227i
\(70\) −10463.9 + 7968.19i −2.13550 + 1.62616i
\(71\) 4482.54 + 5342.09i 0.889217 + 1.05973i 0.997843 + 0.0656450i \(0.0209105\pi\)
−0.108626 + 0.994083i \(0.534645\pi\)
\(72\) 1018.94 + 4849.15i 0.196554 + 0.935406i
\(73\) −828.757 4700.11i −0.155518 0.881988i −0.958310 0.285729i \(-0.907764\pi\)
0.802792 0.596259i \(-0.203347\pi\)
\(74\) 4324.59 2231.03i 0.789735 0.407419i
\(75\) 6969.76i 1.23907i
\(76\) 3296.00 4743.26i 0.570638 0.821202i
\(77\) 5003.63 0.843924
\(78\) 2446.73 + 4742.70i 0.402158 + 0.779536i
\(79\) 4675.80 824.469i 0.749207 0.132105i 0.214008 0.976832i \(-0.431348\pi\)
0.535198 + 0.844727i \(0.320237\pi\)
\(80\) 7546.10 + 4506.29i 1.17908 + 0.704108i
\(81\) −5238.19 + 4395.37i −0.798383 + 0.669923i
\(82\) 5951.76 + 7815.94i 0.885152 + 1.16239i
\(83\) 4488.79 + 2591.60i 0.651588 + 0.376195i 0.789064 0.614311i \(-0.210566\pi\)
−0.137476 + 0.990505i \(0.543899\pi\)
\(84\) 15880.0 10945.9i 2.25057 1.55128i
\(85\) −5921.40 + 2155.21i −0.819571 + 0.298300i
\(86\) −185.862 77.7898i −0.0251300 0.0105178i
\(87\) −1848.93 + 1067.48i −0.244276 + 0.141033i
\(88\) −1245.37 3103.14i −0.160817 0.400716i
\(89\) 1043.47 5917.79i 0.131734 0.747101i −0.845344 0.534222i \(-0.820605\pi\)
0.977079 0.212879i \(-0.0682841\pi\)
\(90\) 502.915 10620.6i 0.0620883 1.31119i
\(91\) 6525.32 7776.58i 0.787987 0.939087i
\(92\) 2695.18 + 10363.4i 0.318429 + 1.22441i
\(93\) 18091.7 + 6584.85i 2.09177 + 0.761342i
\(94\) −22.8775 21.1190i −0.00258913 0.00239011i
\(95\) −9406.67 + 8070.31i −1.04229 + 0.894217i
\(96\) −10740.8 7124.13i −1.16545 0.773017i
\(97\) −8368.03 3045.71i −0.889365 0.323702i −0.143382 0.989667i \(-0.545798\pi\)
−0.745983 + 0.665965i \(0.768020\pi\)
\(98\) −22789.2 14636.6i −2.37288 1.52401i
\(99\) −2600.07 + 3098.64i −0.265286 + 0.316155i
\(100\) −6218.58 6310.90i −0.621858 0.631090i
\(101\) 1182.97 6708.96i 0.115966 0.657677i −0.870301 0.492520i \(-0.836076\pi\)
0.986267 0.165157i \(-0.0528131\pi\)
\(102\) 8823.04 2746.20i 0.848043 0.263956i
\(103\) −12488.9 + 7210.45i −1.17720 + 0.679654i −0.955364 0.295431i \(-0.904537\pi\)
−0.221831 + 0.975085i \(0.571203\pi\)
\(104\) −6446.97 2111.33i −0.596059 0.195205i
\(105\) −38890.2 + 14154.9i −3.52745 + 1.28389i
\(106\) 2918.94 + 658.405i 0.259785 + 0.0585978i
\(107\) −5730.94 3308.76i −0.500563 0.289000i 0.228383 0.973571i \(-0.426656\pi\)
−0.728946 + 0.684571i \(0.759989\pi\)
\(108\) 68.0773 717.222i 0.00583653 0.0614902i
\(109\) 17357.4 14564.6i 1.46094 1.22587i 0.536855 0.843675i \(-0.319612\pi\)
0.924081 0.382196i \(-0.124832\pi\)
\(110\) 910.307 + 7116.97i 0.0752320 + 0.588180i
\(111\) 15079.5 2658.92i 1.22388 0.215804i
\(112\) −4612.74 + 24079.6i −0.367725 + 1.91961i
\(113\) 5235.13 0.409987 0.204994 0.978763i \(-0.434283\pi\)
0.204994 + 0.978763i \(0.434283\pi\)
\(114\) 14338.5 11168.8i 1.10330 0.859400i
\(115\) 22977.5i 1.73743i
\(116\) 721.715 2616.22i 0.0536352 0.194428i
\(117\) 1425.07 + 8081.98i 0.104103 + 0.590400i
\(118\) −7.55507 59.0672i −0.000542594 0.00424211i
\(119\) −11298.8 13465.4i −0.797881 0.950878i
\(120\) 18458.0 + 20595.8i 1.28181 + 1.43026i
\(121\) −5955.70 + 10315.6i −0.406782 + 0.704568i
\(122\) −8307.78 1873.93i −0.558168 0.125902i
\(123\) 10572.8 + 29048.6i 0.698846 + 1.92006i
\(124\) −22256.6 + 10179.5i −1.44749 + 0.662036i
\(125\) −1223.20 2118.64i −0.0782847 0.135593i
\(126\) 28319.4 8814.50i 1.78379 0.555209i
\(127\) 9634.42 + 1698.81i 0.597335 + 0.105326i 0.464138 0.885763i \(-0.346364\pi\)
0.133198 + 0.991089i \(0.457475\pi\)
\(128\) 16081.8 3132.52i 0.981552 0.191194i
\(129\) −485.672 407.527i −0.0291853 0.0244893i
\(130\) 12248.3 + 7866.59i 0.724749 + 0.465479i
\(131\) −9788.25 + 26893.0i −0.570378 + 1.56710i 0.233532 + 0.972349i \(0.424972\pi\)
−0.803910 + 0.594751i \(0.797251\pi\)
\(132\) −839.758 10487.9i −0.0481955 0.601925i
\(133\) −30129.0 16957.8i −1.70326 0.958664i
\(134\) −4346.12 4012.04i −0.242043 0.223438i
\(135\) −528.741 + 1452.70i −0.0290118 + 0.0797094i
\(136\) −5538.76 + 10358.7i −0.299457 + 0.560051i
\(137\) 6112.37 + 5128.88i 0.325663 + 0.273264i 0.790930 0.611907i \(-0.209597\pi\)
−0.465267 + 0.885170i \(0.654042\pi\)
\(138\) −1593.75 + 33657.0i −0.0836875 + 1.76733i
\(139\) 4170.66 + 735.400i 0.215862 + 0.0380622i 0.280533 0.959844i \(-0.409489\pi\)
−0.0646714 + 0.997907i \(0.520600\pi\)
\(140\) 22584.5 47515.4i 1.15227 2.42426i
\(141\) −48.9856 84.8455i −0.00246394 0.00426767i
\(142\) −25731.6 10769.6i −1.27611 0.534100i
\(143\) −1894.09 5203.96i −0.0926249 0.254485i
\(144\) −12515.0 15369.2i −0.603542 0.741185i
\(145\) −2911.79 + 5043.37i −0.138492 + 0.239875i
\(146\) 11565.7 + 15188.2i 0.542582 + 0.712526i
\(147\) −54782.1 65286.8i −2.53515 3.02128i
\(148\) −11281.6 + 15861.8i −0.515049 + 0.724152i
\(149\) 4184.26 + 23730.1i 0.188472 + 1.06888i 0.921413 + 0.388584i \(0.127036\pi\)
−0.732942 + 0.680291i \(0.761853\pi\)
\(150\) −12781.9 24776.3i −0.568086 1.10117i
\(151\) 11836.1i 0.519103i 0.965729 + 0.259551i \(0.0835747\pi\)
−0.965729 + 0.259551i \(0.916425\pi\)
\(152\) −3017.99 + 22906.0i −0.130626 + 0.991432i
\(153\) 14210.1 0.607035
\(154\) −17787.0 + 9176.21i −0.750000 + 0.386920i
\(155\) 51718.6 9119.39i 2.15270 0.379579i
\(156\) −17395.4 12372.4i −0.714800 0.508398i
\(157\) 7131.92 5984.39i 0.289339 0.242784i −0.486551 0.873652i \(-0.661745\pi\)
0.775891 + 0.630868i \(0.217301\pi\)
\(158\) −15109.6 + 11505.8i −0.605257 + 0.460897i
\(159\) 8154.19 + 4707.82i 0.322542 + 0.186220i
\(160\) −35089.2 2180.19i −1.37067 0.0851639i
\(161\) 60230.3 21922.0i 2.32361 0.845724i
\(162\) 10560.1 25231.1i 0.402383 0.961406i
\(163\) 27755.8 16024.8i 1.04467 0.603140i 0.123517 0.992342i \(-0.460583\pi\)
0.921152 + 0.389202i \(0.127249\pi\)
\(164\) −35491.2 16869.3i −1.31957 0.627204i
\(165\) −3920.47 + 22234.1i −0.144002 + 0.816679i
\(166\) −20709.6 980.654i −0.751547 0.0355877i
\(167\) 16818.4 20043.4i 0.603049 0.718686i −0.375009 0.927021i \(-0.622360\pi\)
0.978057 + 0.208336i \(0.0668047\pi\)
\(168\) −36377.0 + 68033.2i −1.28887 + 2.41047i
\(169\) 16280.5 + 5925.63i 0.570026 + 0.207473i
\(170\) 17097.1 18520.7i 0.591594 0.640856i
\(171\) 26157.7 9846.34i 0.894556 0.336731i
\(172\) 803.365 64.3246i 0.0271554 0.00217430i
\(173\) 1063.12 + 386.944i 0.0355214 + 0.0129287i 0.359720 0.933060i \(-0.382872\pi\)
−0.324198 + 0.945989i \(0.605095\pi\)
\(174\) 4614.95 7185.46i 0.152429 0.237332i
\(175\) −34088.9 + 40625.5i −1.11311 + 1.32655i
\(176\) 10117.9 + 8747.23i 0.326638 + 0.282387i
\(177\) 32.5379 184.531i 0.00103859 0.00589011i
\(178\) 7143.36 + 22950.3i 0.225456 + 0.724350i
\(179\) 14611.9 8436.18i 0.456037 0.263293i −0.254339 0.967115i \(-0.581858\pi\)
0.710376 + 0.703822i \(0.248525\pi\)
\(180\) 17689.5 + 38676.8i 0.545974 + 1.19373i
\(181\) 17322.3 6304.78i 0.528746 0.192448i −0.0638322 0.997961i \(-0.520332\pi\)
0.592578 + 0.805513i \(0.298110\pi\)
\(182\) −8934.82 + 39611.2i −0.269739 + 1.19585i
\(183\) −23208.1 13399.2i −0.693008 0.400108i
\(184\) −28586.4 31897.3i −0.844353 0.942146i
\(185\) 31995.6 26847.5i 0.934861 0.784441i
\(186\) −76388.9 + 9770.63i −2.20803 + 0.282421i
\(187\) −9443.43 + 1665.13i −0.270051 + 0.0476173i
\(188\) 120.056 + 33.1189i 0.00339678 + 0.000937043i
\(189\) −4312.38 −0.120724
\(190\) 18638.8 45939.5i 0.516311 1.27256i
\(191\) 19746.7i 0.541288i 0.962680 + 0.270644i \(0.0872366\pi\)
−0.962680 + 0.270644i \(0.912763\pi\)
\(192\) 51246.7 + 5627.33i 1.39016 + 0.152651i
\(193\) −10148.2 57553.5i −0.272443 1.54510i −0.746968 0.664860i \(-0.768491\pi\)
0.474525 0.880242i \(-0.342620\pi\)
\(194\) 35332.4 4519.25i 0.938794 0.120078i
\(195\) 29443.2 + 35089.0i 0.774311 + 0.922788i
\(196\) 107854. + 10237.3i 2.80752 + 0.266484i
\(197\) −22209.2 + 38467.4i −0.572268 + 0.991198i 0.424064 + 0.905632i \(0.360603\pi\)
−0.996333 + 0.0855658i \(0.972730\pi\)
\(198\) 3560.15 15783.4i 0.0908108 0.402597i
\(199\) −19522.6 53637.9i −0.492982 1.35446i −0.897938 0.440122i \(-0.854935\pi\)
0.404956 0.914336i \(-0.367287\pi\)
\(200\) 33679.6 + 11029.8i 0.841989 + 0.275745i
\(201\) −9305.96 16118.4i −0.230340 0.398960i
\(202\) 8098.39 + 26018.6i 0.198470 + 0.637649i
\(203\) −15998.1 2820.89i −0.388218 0.0684533i
\(204\) −26328.1 + 25942.9i −0.632643 + 0.623388i
\(205\) 64594.4 + 54201.2i 1.53705 + 1.28974i
\(206\) 31172.4 48535.4i 0.734574 1.14373i
\(207\) −17722.0 + 48690.8i −0.413592 + 1.13633i
\(208\) 26789.8 4317.75i 0.619218 0.0998000i
\(209\) −16229.5 + 9608.62i −0.371547 + 0.219973i
\(210\) 112289. 121639.i 2.54623 2.75826i
\(211\) 4249.40 11675.1i 0.0954472 0.262239i −0.882776 0.469794i \(-0.844328\pi\)
0.978223 + 0.207555i \(0.0665505\pi\)
\(212\) −11583.8 + 3012.57i −0.257738 + 0.0670293i
\(213\) −67238.7 56420.0i −1.48204 1.24358i
\(214\) 26440.5 + 1252.02i 0.577353 + 0.0273392i
\(215\) −1703.11 300.304i −0.0368438 0.00649656i
\(216\) 1073.32 + 2674.45i 0.0230049 + 0.0573227i
\(217\) 73247.2 + 126868.i 1.55551 + 2.69422i
\(218\) −34992.3 + 83606.4i −0.736308 + 1.75925i
\(219\) 20545.5 + 56448.4i 0.428380 + 1.17696i
\(220\) −16287.9 23630.2i −0.336526 0.488226i
\(221\) −9727.42 + 16848.4i −0.199165 + 0.344964i
\(222\) −48728.7 + 37106.4i −0.988732 + 0.752910i
\(223\) −33977.1 40492.3i −0.683245 0.814260i 0.307276 0.951620i \(-0.400583\pi\)
−0.990521 + 0.137361i \(0.956138\pi\)
\(224\) −27762.4 94058.2i −0.553301 1.87457i
\(225\) −7444.70 42221.0i −0.147056 0.833995i
\(226\) −18610.0 + 9600.76i −0.364358 + 0.187970i
\(227\) 43500.3i 0.844191i −0.906551 0.422096i \(-0.861295\pi\)
0.906551 0.422096i \(-0.138705\pi\)
\(228\) −30488.2 + 65998.4i −0.586491 + 1.26959i
\(229\) −14850.9 −0.283192 −0.141596 0.989925i \(-0.545223\pi\)
−0.141596 + 0.989925i \(0.545223\pi\)
\(230\) 42138.7 + 81681.0i 0.796573 + 1.54406i
\(231\) −62021.9 + 10936.1i −1.16231 + 0.204946i
\(232\) 2232.34 + 10623.8i 0.0414749 + 0.197380i
\(233\) −6146.18 + 5157.25i −0.113212 + 0.0949963i −0.697636 0.716452i \(-0.745765\pi\)
0.584424 + 0.811448i \(0.301320\pi\)
\(234\) −19887.5 26116.6i −0.363202 0.476962i
\(235\) −231.436 133.619i −0.00419078 0.00241955i
\(236\) 135.181 + 196.118i 0.00242712 + 0.00352122i
\(237\) −56156.3 + 20439.2i −0.999774 + 0.363888i
\(238\) 64859.5 + 27146.1i 1.14504 + 0.479240i
\(239\) −27463.0 + 15855.8i −0.480787 + 0.277582i −0.720744 0.693201i \(-0.756200\pi\)
0.239958 + 0.970783i \(0.422866\pi\)
\(240\) −103386. 39364.1i −1.79489 0.683405i
\(241\) 3266.61 18525.9i 0.0562423 0.318966i −0.943687 0.330839i \(-0.892668\pi\)
0.999930 + 0.0118729i \(0.00377936\pi\)
\(242\) 2253.62 47592.3i 0.0384813 0.812654i
\(243\) 52978.3 63137.1i 0.897192 1.06923i
\(244\) 32969.3 8574.25i 0.553771 0.144018i
\(245\) −218453. 79510.5i −3.63937 1.32462i
\(246\) −90857.2 83873.1i −1.50137 1.38597i
\(247\) −6231.65 + 37754.5i −0.102143 + 0.618836i
\(248\) 60450.1 77002.8i 0.982864 1.25200i
\(249\) −61304.6 22313.0i −0.988768 0.359882i
\(250\) 8233.66 + 5288.16i 0.131739 + 0.0846106i
\(251\) −62461.9 + 74439.2i −0.991443 + 1.18156i −0.00806839 + 0.999967i \(0.502568\pi\)
−0.983375 + 0.181588i \(0.941876\pi\)
\(252\) −84505.4 + 83269.2i −1.33071 + 1.31124i
\(253\) 6071.73 34434.5i 0.0948575 0.537964i
\(254\) −37364.1 + 11629.7i −0.579145 + 0.180261i
\(255\) 68687.5 39656.8i 1.05633 0.609870i
\(256\) −51423.0 + 40628.1i −0.784653 + 0.619935i
\(257\) 65688.5 23908.7i 0.994542 0.361984i 0.207065 0.978327i \(-0.433609\pi\)
0.787477 + 0.616344i \(0.211387\pi\)
\(258\) 2473.85 + 558.008i 0.0371649 + 0.00838303i
\(259\) 100900. + 58254.9i 1.50416 + 0.868426i
\(260\) −57967.0 5502.11i −0.857500 0.0813922i
\(261\) 10060.1 8441.42i 0.147680 0.123918i
\(262\) −14523.9 113551.i −0.211582 1.65420i
\(263\) 69331.5 12225.0i 1.00235 0.176741i 0.351695 0.936115i \(-0.385605\pi\)
0.650655 + 0.759373i \(0.274494\pi\)
\(264\) 22219.1 + 35742.7i 0.318801 + 0.512837i
\(265\) 25683.3 0.365729
\(266\) 138202. + 5028.13i 1.95323 + 0.0710630i
\(267\) 75633.9i 1.06095i
\(268\) 22807.4 + 6291.70i 0.317546 + 0.0875989i
\(269\) 12725.3 + 72168.8i 0.175859 + 0.997344i 0.937148 + 0.348932i \(0.113456\pi\)
−0.761289 + 0.648412i \(0.775433\pi\)
\(270\) −784.549 6133.77i −0.0107620 0.0841395i
\(271\) −72643.3 86572.9i −0.989138 1.17881i −0.983881 0.178822i \(-0.942771\pi\)
−0.00525655 0.999986i \(-0.501673\pi\)
\(272\) 692.360 46980.9i 0.00935824 0.635015i
\(273\) −63887.1 + 110656.i −0.857211 + 1.48473i
\(274\) −31134.3 7022.74i −0.414704 0.0935418i
\(275\) 9894.88 + 27186.0i 0.130841 + 0.359484i
\(276\) −56058.5 122567.i −0.735907 1.60900i
\(277\) −1784.11 3090.17i −0.0232521 0.0402739i 0.854165 0.520002i \(-0.174069\pi\)
−0.877417 + 0.479728i \(0.840735\pi\)
\(278\) −16174.6 + 5034.40i −0.209288 + 0.0651416i
\(279\) −116628. 20564.7i −1.49829 0.264189i
\(280\) 6855.14 + 210327.i 0.0874380 + 2.68274i
\(281\) −23984.9 20125.8i −0.303757 0.254882i 0.478149 0.878279i \(-0.341308\pi\)
−0.781906 + 0.623396i \(0.785752\pi\)
\(282\) 329.734 + 211.776i 0.00414635 + 0.00266304i
\(283\) 11801.4 32424.2i 0.147354 0.404852i −0.843954 0.536416i \(-0.819778\pi\)
0.991308 + 0.131564i \(0.0419999\pi\)
\(284\) 111222. 8905.40i 1.37896 0.110412i
\(285\) 98960.4 120594.i 1.21835 1.48469i
\(286\) 16276.7 + 15025.6i 0.198992 + 0.183696i
\(287\) −80448.6 + 221031.i −0.976686 + 2.68342i
\(288\) 72674.6 + 31683.4i 0.876188 + 0.381985i
\(289\) −38175.3 32032.9i −0.457075 0.383531i
\(290\) 1101.81 23268.3i 0.0131012 0.276674i
\(291\) 110382. + 19463.3i 1.30350 + 0.229842i
\(292\) −68967.8 32781.0i −0.808873 0.384465i
\(293\) −11236.5 19462.2i −0.130887 0.226703i 0.793132 0.609050i \(-0.208449\pi\)
−0.924019 + 0.382347i \(0.875116\pi\)
\(294\) 314471. + 131617.i 3.63819 + 1.52272i
\(295\) −174.812 480.293i −0.00200876 0.00551902i
\(296\) 11015.1 77075.5i 0.125720 0.879696i
\(297\) −1176.25 + 2037.33i −0.0133348 + 0.0230966i
\(298\) −58393.2 76682.8i −0.657551 0.863506i
\(299\) −45599.4 54343.3i −0.510055 0.607860i
\(300\) 90875.0 + 64634.4i 1.00972 + 0.718160i
\(301\) −837.696 4750.81i −0.00924599 0.0524366i
\(302\) −21706.3 42075.1i −0.237997 0.461330i
\(303\) 85745.7i 0.933958i
\(304\) −31279.2 86961.7i −0.338461 0.940980i
\(305\) −73098.9 −0.785799
\(306\) −50514.3 + 26060.0i −0.539475 + 0.278312i
\(307\) 83935.2 14800.0i 0.890569 0.157031i 0.290401 0.956905i \(-0.406211\pi\)
0.600168 + 0.799874i \(0.295100\pi\)
\(308\) 46401.3 65239.6i 0.489135 0.687717i
\(309\) 139045. 116672.i 1.45626 1.22194i
\(310\) −167126. + 127265.i −1.73909 + 1.32430i
\(311\) −124152. 71679.4i −1.28361 0.741095i −0.306106 0.951997i \(-0.599026\pi\)
−0.977507 + 0.210903i \(0.932360\pi\)
\(312\) 84527.3 + 12080.0i 0.868336 + 0.124096i
\(313\) 105640. 38449.8i 1.07830 0.392469i 0.259025 0.965871i \(-0.416599\pi\)
0.819274 + 0.573402i \(0.194377\pi\)
\(314\) −14377.9 + 34352.8i −0.145826 + 0.348420i
\(315\) 220467. 127287.i 2.22189 1.28281i
\(316\) 32611.4 68611.0i 0.326584 0.687099i
\(317\) −17878.9 + 101396.i −0.177919 + 1.00903i 0.756802 + 0.653645i \(0.226761\pi\)
−0.934720 + 0.355384i \(0.884350\pi\)
\(318\) −37620.4 1781.42i −0.372023 0.0176162i
\(319\) −5696.36 + 6788.65i −0.0559778 + 0.0667117i
\(320\) 128734. 56600.2i 1.25717 0.552736i
\(321\) 78269.0 + 28487.6i 0.759591 + 0.276468i
\(322\) −173905. + 188386.i −1.67726 + 1.81692i
\(323\) 62506.3 + 21978.3i 0.599127 + 0.210663i
\(324\) 8732.20 + 109059.i 0.0831828 + 1.03889i
\(325\) 55156.2 + 20075.2i 0.522189 + 0.190061i
\(326\) −69278.9 + 107867.i −0.651878 + 1.01497i
\(327\) −183318. + 218470.i −1.71439 + 2.04314i
\(328\) 157102. 5120.38i 1.46027 0.0475942i
\(329\) 129.448 734.137i 0.00119593 0.00678243i
\(330\) −26838.7 86228.0i −0.246453 0.791809i
\(331\) 68648.0 39633.9i 0.626573 0.361752i −0.152851 0.988249i \(-0.548845\pi\)
0.779424 + 0.626497i \(0.215512\pi\)
\(332\) 75417.5 34493.6i 0.684220 0.312941i
\(333\) −88507.5 + 32214.1i −0.798163 + 0.290507i
\(334\) −23028.7 + 102094.i −0.206432 + 0.915185i
\(335\) −43966.6 25384.2i −0.391772 0.226190i
\(336\) 4547.23 308558.i 0.0402781 2.73312i
\(337\) −63370.6 + 53174.3i −0.557992 + 0.468211i −0.877637 0.479326i \(-0.840881\pi\)
0.319644 + 0.947538i \(0.396437\pi\)
\(338\) −68741.4 + 8792.47i −0.601707 + 0.0769622i
\(339\) −64891.4 + 11442.1i −0.564661 + 0.0995650i
\(340\) −26811.7 + 97192.5i −0.231935 + 0.840765i
\(341\) 79916.2 0.687268
\(342\) −74928.8 + 82972.9i −0.640614 + 0.709389i
\(343\) 418536.i 3.55750i
\(344\) −2737.86 + 1701.96i −0.0231363 + 0.0143825i
\(345\) 50220.6 + 284815.i 0.421933 + 2.39290i
\(346\) −4488.82 + 574.149i −0.0374956 + 0.00479593i
\(347\) −19426.0 23151.0i −0.161334 0.192270i 0.679321 0.733841i \(-0.262274\pi\)
−0.840655 + 0.541571i \(0.817830\pi\)
\(348\) −3227.82 + 34006.5i −0.0266533 + 0.280804i
\(349\) −1532.80 + 2654.89i −0.0125845 + 0.0217970i −0.872249 0.489062i \(-0.837339\pi\)
0.859665 + 0.510859i \(0.170673\pi\)
\(350\) 46676.3 206933.i 0.381031 1.68925i
\(351\) 1632.42 + 4485.04i 0.0132500 + 0.0364042i
\(352\) −52009.1 12539.5i −0.419754 0.101203i
\(353\) −43332.2 75053.5i −0.347745 0.602312i 0.638103 0.769951i \(-0.279719\pi\)
−0.985849 + 0.167638i \(0.946386\pi\)
\(354\) 222.748 + 715.648i 0.00177749 + 0.00571075i
\(355\) −235786. 41575.5i −1.87095 0.329899i
\(356\) −67482.2 68484.0i −0.532463 0.540367i
\(357\) 169483. + 142213.i 1.32981 + 1.11585i
\(358\) −36471.5 + 56786.0i −0.284569 + 0.443073i
\(359\) 29411.4 80807.0i 0.228206 0.626990i −0.771755 0.635920i \(-0.780621\pi\)
0.999960 + 0.00893093i \(0.00284284\pi\)
\(360\) −133813. 105048.i −1.03251 0.810558i
\(361\) 130290. 2854.03i 0.999760 0.0219000i
\(362\) −50015.1 + 54179.9i −0.381667 + 0.413448i
\(363\) 51277.1 140883.i 0.389144 1.06916i
\(364\) −40881.7 157197.i −0.308551 1.18642i
\(365\) 125522. + 105326.i 0.942183 + 0.790585i
\(366\) 107074. + 5070.22i 0.799321 + 0.0378499i
\(367\) 117351. + 20692.1i 0.871271 + 0.153629i 0.591370 0.806400i \(-0.298587\pi\)
0.279901 + 0.960029i \(0.409698\pi\)
\(368\) 160116. + 60964.3i 1.18233 + 0.450173i
\(369\) −95075.5 164676.i −0.698258 1.20942i
\(370\) −64502.8 + 154115.i −0.471167 + 1.12575i
\(371\) 24503.6 + 67323.0i 0.178025 + 0.489120i
\(372\) 253631. 174823.i 1.83280 1.26332i
\(373\) 65591.8 113608.i 0.471446 0.816569i −0.528020 0.849232i \(-0.677066\pi\)
0.999466 + 0.0326632i \(0.0103989\pi\)
\(374\) 30516.0 23237.7i 0.218165 0.166130i
\(375\) 19792.6 + 23587.9i 0.140747 + 0.167736i
\(376\) −487.515 + 102.440i −0.00344836 + 0.000724594i
\(377\) 3122.12 + 17706.4i 0.0219668 + 0.124580i
\(378\) 15329.7 7908.52i 0.107288 0.0553492i
\(379\) 77675.2i 0.540759i 0.962754 + 0.270380i \(0.0871492\pi\)
−0.962754 + 0.270380i \(0.912851\pi\)
\(380\) 17991.3 + 197489.i 0.124593 + 1.36765i
\(381\) −123135. −0.848268
\(382\) −36213.7 70196.1i −0.248168 0.481046i
\(383\) 146772. 25879.9i 1.00057 0.176427i 0.350710 0.936484i \(-0.385940\pi\)
0.649856 + 0.760057i \(0.274829\pi\)
\(384\) −192493. + 73977.7i −1.30543 + 0.501693i
\(385\) −131598. + 110424.i −0.887825 + 0.744973i
\(386\) 141623. + 185982.i 0.950517 + 1.24823i
\(387\) 3377.37 + 1949.93i 0.0225505 + 0.0130196i
\(388\) −117313. + 80861.7i −0.779259 + 0.537130i
\(389\) −263136. + 95773.5i −1.73892 + 0.632916i −0.999200 0.0399954i \(-0.987266\pi\)
−0.739723 + 0.672912i \(0.765043\pi\)
\(390\) −169015. 70739.1i −1.11121 0.465083i
\(391\) −106378. + 61417.5i −0.695824 + 0.401734i
\(392\) −402175. + 161402.i −2.61724 + 1.05036i
\(393\) 62550.7 354743.i 0.404993 2.29683i
\(394\) 8403.87 177474.i 0.0541361 1.14326i
\(395\) −104781. + 124873.i −0.671564 + 0.800339i
\(396\) 16289.6 + 62636.2i 0.103877 + 0.399425i
\(397\) 147690. + 53754.7i 0.937065 + 0.341064i 0.765006 0.644023i \(-0.222736\pi\)
0.172059 + 0.985087i \(0.444958\pi\)
\(398\) 167766. + 154871.i 1.05911 + 0.977693i
\(399\) 410524. + 144347.i 2.57865 + 0.906699i
\(400\) −139953. + 22556.3i −0.874704 + 0.140977i
\(401\) −156549. 56979.2i −0.973558 0.354346i −0.194225 0.980957i \(-0.562219\pi\)
−0.779332 + 0.626611i \(0.784442\pi\)
\(402\) 62640.8 + 40231.8i 0.387619 + 0.248953i
\(403\) 104220. 124205.i 0.641714 0.764765i
\(404\) −76504.2 77640.0i −0.468730 0.475689i
\(405\) 40766.9 231201.i 0.248541 1.40954i
\(406\) 62043.6 19311.3i 0.376396 0.117154i
\(407\) 55043.5 31779.4i 0.332290 0.191848i
\(408\) 46014.6 140506.i 0.276424 0.844061i
\(409\) 91864.1 33435.8i 0.549160 0.199878i −0.0525131 0.998620i \(-0.516723\pi\)
0.601673 + 0.798742i \(0.294501\pi\)
\(410\) −329022. 74215.1i −1.95730 0.441494i
\(411\) −86975.0 50215.0i −0.514886 0.297269i
\(412\) −21802.9 + 229702.i −0.128445 + 1.35323i
\(413\) 1092.19 916.460i 0.00640324 0.00537296i
\(414\) −26296.0 205588.i −0.153422 1.19949i
\(415\) −175251. + 30901.4i −1.01757 + 0.179425i
\(416\) −87314.8 + 64479.0i −0.504546 + 0.372590i
\(417\) −53304.3 −0.306542
\(418\) 40071.8 63920.5i 0.229344 0.365837i
\(419\) 94823.2i 0.540115i 0.962844 + 0.270058i \(0.0870427\pi\)
−0.962844 + 0.270058i \(0.912957\pi\)
\(420\) −176092. + 638334.i −0.998254 + 3.61867i
\(421\) −21168.3 120052.i −0.119433 0.677336i −0.984460 0.175611i \(-0.943810\pi\)
0.865027 0.501725i \(-0.167301\pi\)
\(422\) 6305.29 + 49296.1i 0.0354063 + 0.276814i
\(423\) 387.369 + 461.648i 0.00216493 + 0.00258007i
\(424\) 35653.5 31952.8i 0.198322 0.177737i
\(425\) 50816.9 88017.5i 0.281339 0.487294i
\(426\) 342491. + 77253.3i 1.88725 + 0.425694i
\(427\) −69741.1 191612.i −0.382501 1.05091i
\(428\) −96287.3 + 44038.7i −0.525631 + 0.240407i
\(429\) 34851.9 + 60365.3i 0.189370 + 0.327999i
\(430\) 6604.97 2055.82i 0.0357219 0.0111185i
\(431\) 159213. + 28073.5i 0.857083 + 0.151127i 0.584887 0.811115i \(-0.301139\pi\)
0.272196 + 0.962242i \(0.412250\pi\)
\(432\) −8720.15 7538.81i −0.0467258 0.0403957i
\(433\) −17474.5 14662.9i −0.0932031 0.0782066i 0.594996 0.803729i \(-0.297154\pi\)
−0.688199 + 0.725522i \(0.741598\pi\)
\(434\) −493045. 316664.i −2.61763 1.68120i
\(435\) 25069.8 68878.7i 0.132487 0.364004i
\(436\) −28935.2 361379.i −0.152214 1.90103i
\(437\) −153263. + 186767.i −0.802553 + 0.977998i
\(438\) −176557. 162985.i −0.920315 0.849572i
\(439\) −76561.4 + 210351.i −0.397265 + 1.09148i 0.566345 + 0.824168i \(0.308357\pi\)
−0.963611 + 0.267310i \(0.913865\pi\)
\(440\) 101236. + 54130.5i 0.522914 + 0.279600i
\(441\) 401591. + 336975.i 2.06494 + 1.73269i
\(442\) 3680.82 77732.3i 0.0188408 0.397884i
\(443\) −60412.7 10652.4i −0.307837 0.0542800i 0.0175956 0.999845i \(-0.494399\pi\)
−0.325433 + 0.945565i \(0.605510\pi\)
\(444\) 105172. 221271.i 0.533500 1.12243i
\(445\) 103154. + 178669.i 0.520916 + 0.902253i
\(446\) 195042. + 81632.1i 0.980524 + 0.410385i
\(447\) −103731. 284998.i −0.519151 1.42635i
\(448\) 271185. + 283447.i 1.35117 + 1.41226i
\(449\) 29206.1 50586.5i 0.144871 0.250924i −0.784454 0.620187i \(-0.787057\pi\)
0.929325 + 0.369263i \(0.120390\pi\)
\(450\) 103894. + 136435.i 0.513058 + 0.673755i
\(451\) 82479.9 + 98295.7i 0.405504 + 0.483261i
\(452\) 48548.2 68258.0i 0.237627 0.334100i
\(453\) −25869.4 146713.i −0.126064 0.714942i
\(454\) 79775.7 + 154636.i 0.387043 + 0.750238i
\(455\) 348533.i 1.68353i
\(456\) −12655.2 290525.i −0.0608610 1.39719i
\(457\) 62532.6 0.299415 0.149708 0.988730i \(-0.452167\pi\)
0.149708 + 0.988730i \(0.452167\pi\)
\(458\) 52792.2 27235.1i 0.251674 0.129837i
\(459\) 8138.83 1435.09i 0.0386310 0.00681169i
\(460\) −299591. 213083.i −1.41584 1.00701i
\(461\) −218149. + 183049.i −1.02648 + 0.861323i −0.990428 0.138027i \(-0.955924\pi\)
−0.0360558 + 0.999350i \(0.511479\pi\)
\(462\) 200421. 152619.i 0.938986 0.715029i
\(463\) −255292. 147393.i −1.19090 0.687566i −0.232389 0.972623i \(-0.574654\pi\)
−0.958511 + 0.285057i \(0.907988\pi\)
\(464\) −27418.6 33671.7i −0.127353 0.156397i
\(465\) −621140. + 226077.i −2.87266 + 1.04556i
\(466\) 12390.6 29604.7i 0.0570586 0.136329i
\(467\) 204337. 117974.i 0.936942 0.540944i 0.0479417 0.998850i \(-0.484734\pi\)
0.889000 + 0.457906i \(0.151400\pi\)
\(468\) 118592. + 56367.8i 0.541457 + 0.257359i
\(469\) 24591.7 139467.i 0.111800 0.634051i
\(470\) 1067.76 + 50.5612i 0.00483368 + 0.000228887i
\(471\) −75323.2 + 89766.7i −0.339537 + 0.404644i
\(472\) −840.208 449.255i −0.00377140 0.00201655i
\(473\) −2472.95 900.081i −0.0110533 0.00402308i
\(474\) 162142. 175644.i 0.721671 0.781764i
\(475\) 32554.7 197233.i 0.144287 0.874164i
\(476\) −280348. + 22447.1i −1.23732 + 0.0990711i
\(477\) −54424.6 19808.9i −0.239198 0.0870611i
\(478\) 68548.1 106729.i 0.300013 0.467119i
\(479\) 150695. 179592.i 0.656794 0.782736i −0.330128 0.943936i \(-0.607092\pi\)
0.986922 + 0.161200i \(0.0515364\pi\)
\(480\) 439709. 49668.0i 1.90846 0.215573i
\(481\) 22392.1 126992.i 0.0967844 0.548892i
\(482\) 22362.6 + 71846.9i 0.0962560 + 0.309253i
\(483\) −698663. + 403374.i −2.99484 + 1.72907i
\(484\) 79268.8 + 173315.i 0.338385 + 0.739853i
\(485\) 287298. 104568.i 1.22138 0.444545i
\(486\) −72540.7 + 321599.i −0.307121 + 1.36158i
\(487\) 128478. + 74176.6i 0.541713 + 0.312758i 0.745773 0.666200i \(-0.232080\pi\)
−0.204060 + 0.978958i \(0.565414\pi\)
\(488\) −101476. + 90942.7i −0.426110 + 0.381881i
\(489\) −309020. + 259298.i −1.29231 + 1.08438i
\(490\) 922378. 117978.i 3.84164 0.491371i
\(491\) 45454.1 8014.78i 0.188543 0.0332452i −0.0785793 0.996908i \(-0.525038\pi\)
0.267122 + 0.963663i \(0.413927\pi\)
\(492\) 476797. + 131530.i 1.96971 + 0.543369i
\(493\) 31132.2 0.128090
\(494\) −47086.1 145639.i −0.192947 0.596793i
\(495\) 138876.i 0.566782i
\(496\) −73673.1 + 384592.i −0.299464 + 1.56328i
\(497\) −115975. 657725.i −0.469516 2.66276i
\(498\) 258847. 33108.2i 1.04372 0.133499i
\(499\) 257682. + 307093.i 1.03486 + 1.23330i 0.971927 + 0.235285i \(0.0756022\pi\)
0.0629368 + 0.998018i \(0.479953\pi\)
\(500\) −38967.2 3698.69i −0.155869 0.0147948i
\(501\) −164663. + 285205.i −0.656026 + 1.13627i
\(502\) 85526.2 379168.i 0.339384 1.50461i
\(503\) 51365.3 + 141125.i 0.203018 + 0.557786i 0.998861 0.0477164i \(-0.0151944\pi\)
−0.795843 + 0.605503i \(0.792972\pi\)
\(504\) 147694. 450983.i 0.581434 1.77541i
\(505\) 116946. + 202556.i 0.458565 + 0.794258i
\(506\) 41565.9 + 133544.i 0.162344 + 0.521581i
\(507\) −214755. 37867.0i −0.835462 0.147314i
\(508\) 111495. 109864.i 0.432044 0.425724i
\(509\) 13041.1 + 10942.8i 0.0503361 + 0.0422370i 0.667609 0.744512i \(-0.267318\pi\)
−0.617273 + 0.786749i \(0.711762\pi\)
\(510\) −171445. + 266940.i −0.659151 + 1.02630i
\(511\) −156331. + 429515.i −0.598691 + 1.64489i
\(512\) 108292. 238731.i 0.413100 0.910686i
\(513\) 13987.4 8281.20i 0.0531501 0.0314672i
\(514\) −189665. + 205458.i −0.717894 + 0.777672i
\(515\) 169338. 465252.i 0.638469 1.75418i
\(516\) −9817.43 + 2553.19i −0.0368721 + 0.00958925i
\(517\) −311.525 261.401i −0.00116550 0.000977970i
\(518\) −465517. 22043.4i −1.73491 0.0821523i
\(519\) −14023.5 2472.72i −0.0520621 0.00917994i
\(520\) 216153. 86747.3i 0.799382 0.320811i
\(521\) −169595. 293748.i −0.624796 1.08218i −0.988580 0.150696i \(-0.951849\pi\)
0.363784 0.931483i \(-0.381485\pi\)
\(522\) −20281.0 + 48457.1i −0.0744302 + 0.177835i
\(523\) 96792.7 + 265936.i 0.353866 + 0.972239i 0.981116 + 0.193421i \(0.0619583\pi\)
−0.627250 + 0.778818i \(0.715819\pi\)
\(524\) 259872. + 377017.i 0.946447 + 1.37309i
\(525\) 333752. 578075.i 1.21089 2.09733i
\(526\) −224042. + 170606.i −0.809762 + 0.616626i
\(527\) −180460. 215064.i −0.649772 0.774368i
\(528\) −144534. 86311.2i −0.518445 0.309599i
\(529\) −29184.1 165511.i −0.104288 0.591447i
\(530\) −91299.8 + 47101.0i −0.325026 + 0.167679i
\(531\) 1152.60i 0.00408779i
\(532\) −500506. + 235577.i −1.76842 + 0.832356i
\(533\) 260333. 0.916380
\(534\) −138706. 268865.i −0.486421 0.942870i
\(535\) 223747. 39452.6i 0.781716 0.137838i
\(536\) −92614.9 + 19460.9i −0.322367 + 0.0677382i
\(537\) −162681. + 136506.i −0.564143 + 0.473373i
\(538\) −177587. 233210.i −0.613547 0.805718i
\(539\) −306367. 176881.i −1.05454 0.608842i
\(540\) 14037.7 + 20365.7i 0.0481403 + 0.0698411i
\(541\) 456389. 166112.i 1.55934 0.567553i 0.588755 0.808312i \(-0.299618\pi\)
0.970585 + 0.240759i \(0.0773962\pi\)
\(542\) 417001. + 174530.i 1.41951 + 0.594116i
\(543\) −200936. + 116010.i −0.681488 + 0.393457i
\(544\) 83697.7 + 168279.i 0.282824 + 0.568632i
\(545\) −135086. + 766111.i −0.454797 + 2.57928i
\(546\) 24174.6 510524.i 0.0810914 1.71250i
\(547\) −26524.4 + 31610.5i −0.0886483 + 0.105647i −0.808545 0.588434i \(-0.799745\pi\)
0.719897 + 0.694081i \(0.244189\pi\)
\(548\) 123556. 32132.9i 0.411436 0.107001i
\(549\) 154901. + 56379.4i 0.513937 + 0.187058i
\(550\) −85031.2 78495.0i −0.281095 0.259487i
\(551\) 57307.7 21571.9i 0.188760 0.0710534i
\(552\) 424056. + 332900.i 1.39170 + 1.09253i
\(553\) −427293. 155522.i −1.39725 0.508559i
\(554\) 12009.3 + 7713.12i 0.0391290 + 0.0251310i
\(555\) −337919. + 402716.i −1.09705 + 1.30741i
\(556\) 48265.3 47559.2i 0.156130 0.153846i
\(557\) −80795.1 + 458212.i −0.260420 + 1.47692i 0.521346 + 0.853345i \(0.325430\pi\)
−0.781766 + 0.623572i \(0.785681\pi\)
\(558\) 452307. 140782.i 1.45266 0.452147i
\(559\) −4623.92 + 2669.62i −0.0147974 + 0.00854330i
\(560\) −410090. 735104.i −1.30768 2.34408i
\(561\) 113416. 41279.9i 0.360368 0.131163i
\(562\) 122171. + 27557.3i 0.386808 + 0.0872496i
\(563\) 94122.5 + 54341.6i 0.296945 + 0.171442i 0.641070 0.767483i \(-0.278491\pi\)
−0.344124 + 0.938924i \(0.611824\pi\)
\(564\) −1560.53 148.122i −0.00490583 0.000465652i
\(565\) −137686. + 115533.i −0.431315 + 0.361916i
\(566\) 17511.0 + 136905.i 0.0546612 + 0.427353i
\(567\) 644933. 113719.i 2.00608 0.353726i
\(568\) −379042. + 235628.i −1.17487 + 0.730348i
\(569\) 480813. 1.48509 0.742543 0.669798i \(-0.233619\pi\)
0.742543 + 0.669798i \(0.233619\pi\)
\(570\) −130628. + 610175.i −0.402056 + 1.87804i
\(571\) 41392.9i 0.126956i 0.997983 + 0.0634781i \(0.0202193\pi\)
−0.997983 + 0.0634781i \(0.979781\pi\)
\(572\) −85416.5 23563.2i −0.261066 0.0720181i
\(573\) −43159.2 244768.i −0.131451 0.745497i
\(574\) −119370. 933261.i −0.362303 2.83256i
\(575\) 238216. + 283894.i 0.720501 + 0.858660i
\(576\) −316450. + 20649.9i −0.953805 + 0.0622405i
\(577\) 184212. 319065.i 0.553307 0.958356i −0.444726 0.895667i \(-0.646699\pi\)
0.998033 0.0626894i \(-0.0199677\pi\)
\(578\) 194452. + 43861.2i 0.582045 + 0.131288i
\(579\) 251583. + 691217.i 0.750453 + 2.06185i
\(580\) 38755.2 + 84735.2i 0.115206 + 0.251888i
\(581\) −248201. 429898.i −0.735279 1.27354i
\(582\) −428082. + 133242.i −1.26381 + 0.393364i
\(583\) 38489.5 + 6786.74i 0.113241 + 0.0199675i
\(584\) 305286. 9950.11i 0.895119 0.0291744i
\(585\) −215839. 181110.i −0.630694 0.529215i
\(586\) 75635.8 + 48577.9i 0.220258 + 0.141463i
\(587\) 80758.4 221882.i 0.234375 0.643940i −0.765625 0.643288i \(-0.777570\pi\)
1.00000 0.000652783i \(-0.000207787\pi\)
\(588\) −1.35926e6 + 108835.i −3.93142 + 0.314784i
\(589\) −481210. 270844.i −1.38709 0.780709i
\(590\) 1502.24 + 1386.77i 0.00431554 + 0.00398381i
\(591\) 191215. 525359.i 0.547454 1.50412i
\(592\) 102193. + 294190.i 0.291593 + 0.839431i
\(593\) 331232. + 277936.i 0.941938 + 0.790380i 0.977922 0.208972i \(-0.0670119\pi\)
−0.0359833 + 0.999352i \(0.511456\pi\)
\(594\) 445.090 9399.49i 0.00126146 0.0266398i
\(595\) 594328. + 104796.i 1.67877 + 0.296013i
\(596\) 348207. + 165506.i 0.980268 + 0.465930i
\(597\) 359223. + 622193.i 1.00790 + 1.74573i
\(598\) 261759. + 109556.i 0.731979 + 0.306360i
\(599\) −164688. 452476.i −0.458995 1.26108i −0.926234 0.376948i \(-0.876974\pi\)
0.467239 0.884131i \(-0.345249\pi\)
\(600\) −441578. 63107.2i −1.22661 0.175298i
\(601\) −191579. + 331824.i −0.530394 + 0.918669i 0.468977 + 0.883210i \(0.344623\pi\)
−0.999371 + 0.0354590i \(0.988711\pi\)
\(602\) 11690.4 + 15352.0i 0.0322580 + 0.0423617i
\(603\) 73589.8 + 87701.0i 0.202387 + 0.241196i
\(604\) 154324. + 109762.i 0.423019 + 0.300870i
\(605\) −71013.8 402740.i −0.194014 1.10031i
\(606\) −157250. 304811.i −0.428199 0.830014i
\(607\) 411877.i 1.11787i −0.829213 0.558933i \(-0.811211\pi\)
0.829213 0.558933i \(-0.188789\pi\)
\(608\) 270672. + 251770.i 0.732211 + 0.681078i
\(609\) 204468. 0.551303
\(610\) 259854. 134057.i 0.698344 0.360271i
\(611\) −812.531 + 143.271i −0.00217650 + 0.000383775i
\(612\) 131778. 185278.i 0.351835 0.494675i
\(613\) −78949.7 + 66246.7i −0.210102 + 0.176296i −0.741766 0.670659i \(-0.766011\pi\)
0.531664 + 0.846955i \(0.321567\pi\)
\(614\) −271233. + 206541.i −0.719458 + 0.547860i
\(615\) −919137. 530664.i −2.43013 1.40304i
\(616\) −45305.0 + 317011.i −0.119395 + 0.835436i
\(617\) −319958. + 116455.i −0.840470 + 0.305906i −0.726149 0.687538i \(-0.758692\pi\)
−0.114321 + 0.993444i \(0.536469\pi\)
\(618\) −280313. + 669746.i −0.733950 + 1.75361i
\(619\) 361434. 208674.i 0.943296 0.544612i 0.0523039 0.998631i \(-0.483344\pi\)
0.890992 + 0.454019i \(0.150010\pi\)
\(620\) 360712. 758900.i 0.938376 1.97425i
\(621\) −5232.93 + 29677.4i −0.0135694 + 0.0769561i
\(622\) 572793. + 27123.2i 1.48053 + 0.0701069i
\(623\) −369923. + 440857.i −0.953092 + 1.13585i
\(624\) −322633. + 112073.i −0.828591 + 0.287827i
\(625\) 404145. + 147097.i 1.03461 + 0.376568i
\(626\) −305018. + 330416.i −0.778352 + 0.843165i
\(627\) 180170. 154574.i 0.458299 0.393190i
\(628\) −11889.1 148486.i −0.0301460 0.376501i
\(629\) −209817. 76367.3i −0.530323 0.193022i
\(630\) −550289. + 856799.i −1.38647 + 2.15873i
\(631\) −15500.4 + 18472.7i −0.0389300 + 0.0463949i −0.785158 0.619295i \(-0.787418\pi\)
0.746228 + 0.665690i \(0.231863\pi\)
\(632\) 9898.63 + 303706.i 0.0247823 + 0.760360i
\(633\) −27155.3 + 154006.i −0.0677716 + 0.384352i
\(634\) −122395. 393234.i −0.304499 0.978301i
\(635\) −290881. + 167940.i −0.721385 + 0.416492i
\(636\) 137001. 62659.9i 0.338696 0.154909i
\(637\) −674446. + 245478.i −1.66214 + 0.604971i
\(638\) 7799.76 34579.1i 0.0191620 0.0849517i
\(639\) 467579. + 269957.i 1.14513 + 0.661139i
\(640\) −353827. + 437291.i −0.863836 + 1.06760i
\(641\) −70869.2 + 59466.3i −0.172481 + 0.144729i −0.724942 0.688810i \(-0.758133\pi\)
0.552461 + 0.833539i \(0.313689\pi\)
\(642\) −330476. + 42270.0i −0.801807 + 0.102556i
\(643\) 53595.9 9450.40i 0.129631 0.0228575i −0.108456 0.994101i \(-0.534591\pi\)
0.238087 + 0.971244i \(0.423480\pi\)
\(644\) 272718. 988605.i 0.657571 2.38370i
\(645\) 21767.0 0.0523214
\(646\) −262505. + 36502.0i −0.629032 + 0.0874685i
\(647\) 433335.i 1.03518i 0.855629 + 0.517589i \(0.173170\pi\)
−0.855629 + 0.517589i \(0.826830\pi\)
\(648\) −231045. 371670.i −0.550233 0.885131i
\(649\) −135.061 765.968i −0.000320657 0.00181853i
\(650\) −232887. + 29787.7i −0.551211 + 0.0705034i
\(651\) −1.18522e6 1.41248e6i −2.79663 3.33290i
\(652\) 48455.6 510500.i 0.113985 1.20088i
\(653\) 88713.4 153656.i 0.208048 0.360349i −0.743052 0.669234i \(-0.766622\pi\)
0.951099 + 0.308885i \(0.0999557\pi\)
\(654\) 251009. 1.11281e6i 0.586860 2.60176i
\(655\) −336059. 923314.i −0.783308 2.15212i
\(656\) −549078. + 306312.i −1.27593 + 0.711798i
\(657\) −184754. 320004.i −0.428020 0.741352i
\(658\) 886.176 + 2847.12i 0.00204677 + 0.00657589i
\(659\) −345211. 60870.0i −0.794902 0.140163i −0.238573 0.971125i \(-0.576680\pi\)
−0.556329 + 0.830962i \(0.687791\pi\)
\(660\) 253541. + 257305.i 0.582051 + 0.590692i
\(661\) −493112. 413770.i −1.12861 0.947014i −0.129600 0.991566i \(-0.541369\pi\)
−0.999007 + 0.0445527i \(0.985814\pi\)
\(662\) −171346. + 266786.i −0.390984 + 0.608761i
\(663\) 83750.6 230103.i 0.190529 0.523474i
\(664\) −204838. + 260928.i −0.464594 + 0.591812i
\(665\) 1.16665e6 218910.i 2.63813 0.495020i
\(666\) 255551. 276830.i 0.576141 0.624116i
\(667\) −38826.2 + 106674.i −0.0872718 + 0.239777i
\(668\) −105369. 405160.i −0.236135 0.907974i
\(669\) 509661. + 427656.i 1.13875 + 0.955526i
\(670\) 202846. + 9605.28i 0.451873 + 0.0213974i
\(671\) −109547. 19316.2i −0.243308 0.0429018i
\(672\) 549704. + 1.10521e6i 1.21728 + 2.44741i
\(673\) 236662. + 409911.i 0.522515 + 0.905022i 0.999657 + 0.0261962i \(0.00833946\pi\)
−0.477142 + 0.878826i \(0.658327\pi\)
\(674\) 127755. 305241.i 0.281227 0.671929i
\(675\) −8527.91 23430.2i −0.0187169 0.0514244i
\(676\) 228239. 157321.i 0.499455 0.344266i
\(677\) −259304. + 449128.i −0.565760 + 0.979925i 0.431219 + 0.902247i \(0.358084\pi\)
−0.996979 + 0.0776775i \(0.975250\pi\)
\(678\) 209694. 159680.i 0.456169 0.347369i
\(679\) 548202. + 653322.i 1.18905 + 1.41706i
\(680\) −82931.4 394672.i −0.179350 0.853530i
\(681\) 95076.1 + 539203.i 0.205011 + 1.16267i
\(682\) −284088. + 146559.i −0.610779 + 0.315097i
\(683\) 404044.i 0.866138i 0.901361 + 0.433069i \(0.142569\pi\)
−0.901361 + 0.433069i \(0.857431\pi\)
\(684\) 114194. 432367.i 0.244079 0.924145i
\(685\) −273946. −0.583827
\(686\) 767557. + 1.48782e6i 1.63103 + 3.16157i
\(687\) 184082. 32458.6i 0.390030 0.0687728i
\(688\) 6611.34 11071.2i 0.0139673 0.0233892i
\(689\) 60742.7 50969.2i 0.127955 0.107367i
\(690\) −700851. 920367.i −1.47207 1.93314i
\(691\) 133301. + 76961.6i 0.279176 + 0.161182i 0.633050 0.774111i \(-0.281803\pi\)
−0.353874 + 0.935293i \(0.615136\pi\)
\(692\) 14904.0 10273.1i 0.0311237 0.0214531i
\(693\) 364031. 132496.i 0.758004 0.275891i
\(694\) 111513. + 46672.2i 0.231530 + 0.0969035i
\(695\) −125920. + 72699.8i −0.260690 + 0.150509i
\(696\) −50890.5 126806.i −0.105055 0.261772i
\(697\) 78276.3 443927.i 0.161126 0.913790i
\(698\) 580.007 12248.7i 0.00119048 0.0251408i
\(699\) 64912.3 77359.5i 0.132853 0.158328i
\(700\) 213570. + 821209.i 0.435857 + 1.67594i
\(701\) −92559.6 33688.9i −0.188359 0.0685569i 0.246119 0.969240i \(-0.420845\pi\)
−0.434477 + 0.900683i \(0.643067\pi\)
\(702\) −14028.1 12949.8i −0.0284659 0.0262778i
\(703\) −439145. + 4809.22i −0.888581 + 0.00973114i
\(704\) 207880. 50804.5i 0.419437 0.102508i
\(705\) 3160.78 + 1150.43i 0.00635940 + 0.00231463i
\(706\) 291680. + 187335.i 0.585190 + 0.375845i
\(707\) −419380. + 499797.i −0.839012 + 0.999896i
\(708\) −2104.26 2135.50i −0.00419791 0.00426023i
\(709\) −154234. + 874704.i −0.306823 + 1.74008i 0.307977 + 0.951394i \(0.400348\pi\)
−0.614799 + 0.788684i \(0.710763\pi\)
\(710\) 914424. 284617.i 1.81397 0.564605i
\(711\) 318348. 183798.i 0.629743 0.363582i
\(712\) 365481. + 119692.i 0.720949 + 0.236105i
\(713\) 961977. 350131.i 1.89228 0.688734i
\(714\) −863290. 194726.i −1.69340 0.381969i
\(715\) 164660. + 95066.6i 0.322089 + 0.185958i
\(716\) 25509.2 268750.i 0.0497589 0.524230i
\(717\) 305760. 256563.i 0.594760 0.499063i
\(718\) 43640.7 + 341193.i 0.0846532 + 0.661836i
\(719\) 845429. 149072.i 1.63538 0.288362i 0.720915 0.693023i \(-0.243722\pi\)
0.914467 + 0.404661i \(0.132611\pi\)
\(720\) 668331. + 128027.i 1.28922 + 0.246965i
\(721\) 1.38111e6 2.65679
\(722\) −457923. + 249085.i −0.878452 + 0.477830i
\(723\) 236775.i 0.452959i
\(724\) 78433.9 284323.i 0.149633 0.542419i
\(725\) −16310.2 92500.0i −0.0310302 0.175981i
\(726\) 76085.2 + 594850.i 0.144353 + 1.12859i
\(727\) 99394.4 + 118454.i 0.188059 + 0.224119i 0.851833 0.523813i \(-0.175491\pi\)
−0.663775 + 0.747933i \(0.731047\pi\)
\(728\) 433612. + 483833.i 0.818160 + 0.912919i
\(729\) −241753. + 418729.i −0.454902 + 0.787913i
\(730\) −639367. 144218.i −1.19979 0.270628i
\(731\) 3162.00 + 8687.51i 0.00591734 + 0.0162578i
\(732\) −389927. + 178340.i −0.727715 + 0.332833i
\(733\) 87735.6 + 151963.i 0.163293 + 0.282832i 0.936048 0.351873i \(-0.114455\pi\)
−0.772755 + 0.634705i \(0.781122\pi\)
\(734\) −455108. + 141654.i −0.844739 + 0.262928i
\(735\) 2.88159e6 + 508103.i 5.33406 + 0.940539i
\(736\) −680989. + 76922.1i −1.25714 + 0.142002i
\(737\) −59181.5 49659.2i −0.108956 0.0914249i
\(738\) 639977. + 411033.i 1.17504 + 0.754682i
\(739\) 174406. 479177.i 0.319355 0.877420i −0.671320 0.741168i \(-0.734272\pi\)
0.990674 0.136252i \(-0.0435056\pi\)
\(740\) −53337.5 666145.i −0.0974023 1.21648i
\(741\) −5274.18 481602.i −0.00960547 0.877106i
\(742\) −210570. 194384.i −0.382463 0.353063i
\(743\) 369472. 1.01512e6i 0.669274 1.83882i 0.140443 0.990089i \(-0.455147\pi\)
0.528831 0.848727i \(-0.322631\pi\)
\(744\) −581002. + 1.08660e6i −1.04962 + 1.96302i
\(745\) −633741. 531772.i −1.14182 0.958105i
\(746\) −24819.7 + 524147.i −0.0445984 + 0.941837i
\(747\) 395201. + 69684.5i 0.708233 + 0.124881i
\(748\) −65863.3 + 138569.i −0.117717 + 0.247665i
\(749\) 316885. + 548860.i 0.564856 + 0.978359i
\(750\) −113617. 47553.0i −0.201986 0.0845386i
\(751\) 231760. + 636756.i 0.410922 + 1.12900i 0.956702 + 0.291070i \(0.0940113\pi\)
−0.545780 + 0.837929i \(0.683766\pi\)
\(752\) 1545.16 1258.22i 0.00273236 0.00222495i
\(753\) 611542. 1.05922e6i 1.07854 1.86809i
\(754\) −43570.6 57217.5i −0.0766391 0.100644i
\(755\) −261207. 311294.i −0.458238 0.546106i
\(756\) −39991.0 + 56226.8i −0.0699711 + 0.0983784i
\(757\) −96139.2 545233.i −0.167768 0.951459i −0.946164 0.323686i \(-0.895078\pi\)
0.778397 0.627773i \(-0.216033\pi\)
\(758\) −142449. 276122.i −0.247926 0.480576i
\(759\) 440100.i 0.763954i
\(760\) −426132. 669043.i −0.737764 1.15832i
\(761\) −103331. −0.178427 −0.0892135 0.996013i \(-0.528435\pi\)
−0.0892135 + 0.996013i \(0.528435\pi\)
\(762\) 437724. 225819.i 0.753860 0.388912i
\(763\) −2.13706e6 + 376822.i −3.67086 + 0.647272i
\(764\) 257467. + 183122.i 0.441097 + 0.313728i
\(765\) −373732. + 313598.i −0.638613 + 0.535860i
\(766\) −474287. + 361165.i −0.808321 + 0.615529i
\(767\) −1366.59 789.003i −0.00232300 0.00134118i
\(768\) 548610. 615993.i 0.930125 1.04437i
\(769\) −166552. + 60619.9i −0.281642 + 0.102509i −0.478979 0.877827i \(-0.658993\pi\)
0.197337 + 0.980336i \(0.436771\pi\)
\(770\) 265300. 633875.i 0.447461 1.06911i
\(771\) −761978.