Properties

Label 76.5.l.a.23.13
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 23.13
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.54434 - 3.68985i) q^{2} +(12.3954 - 2.18564i) q^{3} +(-11.2300 + 11.3968i) q^{4} +(-26.3005 + 22.0687i) q^{5} +(-27.2074 - 42.3618i) q^{6} +(82.9404 + 47.8857i) q^{7} +(59.3954 + 23.8368i) q^{8} +(72.7534 - 26.4801i) q^{9} +O(q^{10})\) \(q+(-1.54434 - 3.68985i) q^{2} +(12.3954 - 2.18564i) q^{3} +(-11.2300 + 11.3968i) q^{4} +(-26.3005 + 22.0687i) q^{5} +(-27.2074 - 42.3618i) q^{6} +(82.9404 + 47.8857i) q^{7} +(59.3954 + 23.8368i) q^{8} +(72.7534 - 26.4801i) q^{9} +(122.047 + 62.9634i) q^{10} +(45.2460 - 26.1228i) q^{11} +(-114.291 + 165.812i) q^{12} +(-18.4064 + 104.388i) q^{13} +(48.6031 - 379.990i) q^{14} +(-277.770 + 331.034i) q^{15} +(-3.77227 - 255.972i) 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} +(-166.264 - 126.609i) q^{22} +(430.190 - 512.681i) q^{23} +(788.327 + 165.649i) q^{24} +(96.1568 - 545.332i) q^{25} +(413.602 - 93.2932i) q^{26} +(-38.9953 + 22.5139i) q^{27} +(-1477.17 + 407.494i) q^{28} +(159.392 - 58.0139i) q^{29} +(1650.44 + 513.704i) q^{30} +(1324.70 + 764.813i) q^{31} +(-938.674 + 409.227i) q^{32} +(503.746 - 422.693i) q^{33} +(-34.7253 - 733.335i) q^{34} +(-3238.15 + 570.973i) q^{35} +(-515.237 + 1126.53i) q^{36} -1216.54 q^{37} +(572.059 + 1325.85i) q^{38} +1334.16i q^{39} +(-2088.17 + 683.861i) q^{40} +(-426.483 - 2418.70i) q^{41} +(-228.066 - 4816.35i) q^{42} +(-32.3779 - 38.5864i) q^{43} +(-210.399 + 809.017i) q^{44} +(-1329.07 + 2302.01i) q^{45} +(-2556.08 - 795.587i) q^{46} +(-2.66221 - 7.31435i) q^{47} +(-606.222 - 3164.63i) q^{48} +(3385.58 + 5863.99i) q^{49} +(-2160.69 + 487.372i) q^{50} +(2275.04 + 401.151i) q^{51} +(-982.979 - 1382.05i) q^{52} +(-573.054 - 480.850i) q^{53} +(143.295 + 109.118i) 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} +(-653.340 - 6883.21i) q^{60} +(1631.00 + 1368.58i) q^{61} +(776.272 - 6069.06i) q^{62} +(7302.22 + 1287.58i) q^{63} +(2959.62 + 2831.59i) q^{64} +(-1819.61 - 3151.66i) q^{65} +(-2337.63 - 1205.97i) q^{66} +(-505.748 - 1389.53i) q^{67} +(-2652.27 + 1260.65i) q^{68} +(4211.84 - 7295.12i) q^{69} +(7107.61 + 11066.5i) q^{70} +(-4482.54 - 5342.09i) q^{71} +(4952.41 + 161.413i) q^{72} +(-828.757 - 4700.11i) q^{73} +(1878.75 + 4488.86i) q^{74} -6969.76i q^{75} +(4008.75 - 4158.38i) q^{76} +5003.63 q^{77} +(4922.85 - 2060.39i) q^{78} +(-4675.80 + 824.469i) q^{79} +(5748.19 + 6648.95i) q^{80} +(-5238.19 + 4395.37i) q^{81} +(-8266.03 + 5308.95i) q^{82} +(-4488.79 - 2591.60i) q^{83} +(-17419.4 + 8279.60i) q^{84} +(-5921.40 + 2155.21i) q^{85} +(-92.3759 + 179.060i) q^{86} +(1848.93 - 1067.48i) q^{87} +(3310.08 - 473.053i) q^{88} +(1043.47 - 5917.79i) q^{89} +(10546.6 + 1348.98i) q^{90} +(-6525.32 + 7776.58i) q^{91} +(1011.85 + 10660.2i) 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} +(16408.8 - 21548.3i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.54434 3.68985i −0.386084 0.922463i
\(3\) 12.3954 2.18564i 1.37726 0.242849i 0.564496 0.825436i \(-0.309070\pi\)
0.812769 + 0.582587i \(0.197959\pi\)
\(4\) −11.2300 + 11.3968i −0.701878 + 0.712297i
\(5\) −26.3005 + 22.0687i −1.05202 + 0.882749i −0.993305 0.115526i \(-0.963145\pi\)
−0.0587151 + 0.998275i \(0.518700\pi\)
\(6\) −27.2074 42.3618i −0.755760 1.17672i
\(7\) 82.9404 + 47.8857i 1.69266 + 0.977259i 0.952356 + 0.304989i \(0.0986528\pi\)
0.740306 + 0.672270i \(0.234681\pi\)
\(8\) 59.3954 + 23.8368i 0.928052 + 0.372450i
\(9\) 72.7534 26.4801i 0.898190 0.326914i
\(10\) 122.047 + 62.9634i 1.22047 + 0.629634i
\(11\) 45.2460 26.1228i 0.373934 0.215891i −0.301242 0.953548i \(-0.597401\pi\)
0.675176 + 0.737657i \(0.264068\pi\)
\(12\) −114.291 + 165.812i −0.793691 + 1.15147i
\(13\) −18.4064 + 104.388i −0.108914 + 0.617680i 0.880671 + 0.473728i \(0.157092\pi\)
−0.989585 + 0.143952i \(0.954019\pi\)
\(14\) 48.6031 379.990i 0.247975 1.93872i
\(15\) −277.770 + 331.034i −1.23453 + 1.47126i
\(16\) −3.77227 255.972i −0.0147354 0.999891i
\(17\) 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
\(22\) −166.264 126.609i −0.343521 0.261588i
\(23\) 430.190 512.681i 0.813214 0.969151i −0.186698 0.982417i \(-0.559778\pi\)
0.999912 + 0.0132663i \(0.00422292\pi\)
\(24\) 788.327 + 165.649i 1.36862 + 0.287585i
\(25\) 96.1568 545.332i 0.153851 0.872531i
\(26\) 413.602 93.2932i 0.611837 0.138008i
\(27\) −38.9953 + 22.5139i −0.0534915 + 0.0308833i
\(28\) −1477.17 + 407.494i −1.88414 + 0.519763i
\(29\) 159.392 58.0139i 0.189527 0.0689821i −0.245513 0.969393i \(-0.578956\pi\)
0.435040 + 0.900411i \(0.356734\pi\)
\(30\) 1650.44 + 513.704i 1.83382 + 0.570782i
\(31\) 1324.70 + 764.813i 1.37846 + 0.795852i 0.991974 0.126445i \(-0.0403568\pi\)
0.386482 + 0.922297i \(0.373690\pi\)
\(32\) −938.674 + 409.227i −0.916674 + 0.399635i
\(33\) 503.746 422.693i 0.462577 0.388148i
\(34\) −34.7253 733.335i −0.0300392 0.634373i
\(35\) −3238.15 + 570.973i −2.64339 + 0.466101i
\(36\) −515.237 + 1126.53i −0.397559 + 0.869233i
\(37\) −1216.54 −0.888634 −0.444317 0.895870i \(-0.646554\pi\)
−0.444317 + 0.895870i \(0.646554\pi\)
\(38\) 572.059 + 1325.85i 0.396163 + 0.918180i
\(39\) 1334.16i 0.877158i
\(40\) −2088.17 + 683.861i −1.30511 + 0.427413i
\(41\) −426.483 2418.70i −0.253708 1.43885i −0.799368 0.600842i \(-0.794832\pi\)
0.545660 0.838007i \(-0.316279\pi\)
\(42\) −228.066 4816.35i −0.129289 2.73036i
\(43\) −32.3779 38.5864i −0.0175110 0.0208688i 0.757218 0.653162i \(-0.226558\pi\)
−0.774729 + 0.632294i \(0.782114\pi\)
\(44\) −210.399 + 809.017i −0.108677 + 0.417881i
\(45\) −1329.07 + 2302.01i −0.656330 + 1.13680i
\(46\) −2556.08 795.587i −1.20798 0.375986i
\(47\) −2.66221 7.31435i −0.00120516 0.00331116i 0.939089 0.343675i \(-0.111672\pi\)
−0.940294 + 0.340364i \(0.889450\pi\)
\(48\) −606.222 3164.63i −0.263117 1.37354i
\(49\) 3385.58 + 5863.99i 1.41007 + 2.44231i
\(50\) −2160.69 + 487.372i −0.864278 + 0.194949i
\(51\) 2275.04 + 401.151i 0.874679 + 0.154229i
\(52\) −982.979 1382.05i −0.363528 0.511115i
\(53\) −573.054 480.850i −0.204006 0.171182i 0.535060 0.844814i \(-0.320289\pi\)
−0.739067 + 0.673632i \(0.764733\pi\)
\(54\) 143.295 + 109.118i 0.0491409 + 0.0374203i
\(55\) −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 −0.938959 0.344029i \(-0.888208\pi\)
0.940422 + 0.340010i \(0.110430\pi\)
\(60\) −653.340 6883.21i −0.181483 1.91200i
\(61\) 1631.00 + 1368.58i 0.438324 + 0.367798i 0.835082 0.550126i \(-0.185420\pi\)
−0.396758 + 0.917923i \(0.629865\pi\)
\(62\) 776.272 6069.06i 0.201944 1.57884i
\(63\) 7302.22 + 1287.58i 1.83981 + 0.324409i
\(64\) 2959.62 + 2831.59i 0.722563 + 0.691305i
\(65\) −1819.61 3151.66i −0.430677 0.745955i
\(66\) −2337.63 1205.97i −0.536646 0.276852i
\(67\) −505.748 1389.53i −0.112664 0.309542i 0.870527 0.492120i \(-0.163778\pi\)
−0.983191 + 0.182578i \(0.941556\pi\)
\(68\) −2652.27 + 1260.65i −0.573588 + 0.272632i
\(69\) 4211.84 7295.12i 0.884654 1.53227i
\(70\) 7107.61 + 11066.5i 1.45053 + 2.25847i
\(71\) −4482.54 5342.09i −0.889217 1.05973i −0.997843 0.0656450i \(-0.979090\pi\)
0.108626 0.994083i \(-0.465355\pi\)
\(72\) 4952.41 + 161.413i 0.955327 + 0.0311368i
\(73\) −828.757 4700.11i −0.155518 0.881988i −0.958310 0.285729i \(-0.907764\pi\)
0.802792 0.596259i \(-0.203347\pi\)
\(74\) 1878.75 + 4488.86i 0.343088 + 0.819733i
\(75\) 6969.76i 1.23907i
\(76\) 4008.75 4158.38i 0.694035 0.719941i
\(77\) 5003.63 0.843924
\(78\) 4922.85 2060.39i 0.809147 0.338657i
\(79\) −4675.80 + 824.469i −0.749207 + 0.132105i −0.535198 0.844727i \(-0.679763\pi\)
−0.214008 + 0.976832i \(0.568652\pi\)
\(80\) 5748.19 + 6648.95i 0.898155 + 1.03890i
\(81\) −5238.19 + 4395.37i −0.798383 + 0.669923i
\(82\) −8266.03 + 5308.95i −1.22933 + 0.789553i
\(83\) −4488.79 2591.60i −0.651588 0.376195i 0.137476 0.990505i \(-0.456101\pi\)
−0.789064 + 0.614311i \(0.789434\pi\)
\(84\) −17419.4 + 8279.60i −2.46874 + 1.17341i
\(85\) −5921.40 + 2155.21i −0.819571 + 0.298300i
\(86\) −92.3759 + 179.060i −0.0124900 + 0.0242104i
\(87\) 1848.93 1067.48i 0.244276 0.141033i
\(88\) 3310.08 473.053i 0.427438 0.0610864i
\(89\) 1043.47 5917.79i 0.131734 0.747101i −0.845344 0.534222i \(-0.820605\pi\)
0.977079 0.212879i \(-0.0682841\pi\)
\(90\) 10546.6 + 1348.98i 1.30205 + 0.166541i
\(91\) −6525.32 + 7776.58i −0.787987 + 0.939087i
\(92\) 1011.85 + 10660.2i 0.119547 + 1.25948i
\(93\) 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 \(0.768020\pi\)
\(98\) 16408.8 21548.3i 1.70854 2.24368i
\(99\) 2600.07 3098.64i 0.265286 0.316155i
\(100\) 5135.17 + 7219.98i 0.513517 + 0.721998i
\(101\) 1182.97 6708.96i 0.115966 0.657677i −0.870301 0.492520i \(-0.836076\pi\)
0.986267 0.165157i \(-0.0528131\pi\)
\(102\) −2033.24 9014.08i −0.195429 0.866405i
\(103\) 12488.9 7210.45i 1.17720 0.679654i 0.221831 0.975085i \(-0.428797\pi\)
0.955364 + 0.295431i \(0.0954632\pi\)
\(104\) −3581.53 + 5761.41i −0.331132 + 0.532675i
\(105\) −38890.2 + 14154.9i −3.52745 + 1.28389i
\(106\) −889.275 + 2857.08i −0.0791452 + 0.254279i
\(107\) 5730.94 + 3308.76i 0.500563 + 0.289000i 0.728946 0.684571i \(-0.240011\pi\)
−0.228383 + 0.973571i \(0.573344\pi\)
\(108\) 181.333 697.252i 0.0155464 0.0597781i
\(109\) 17357.4 14564.6i 1.46094 1.22587i 0.536855 0.843675i \(-0.319612\pi\)
0.924081 0.382196i \(-0.124832\pi\)
\(110\) 7166.92 339.372i 0.592308 0.0280473i
\(111\) −15079.5 + 2658.92i −1.22388 + 0.215804i
\(112\) 11944.5 21411.1i 0.952211 1.70688i
\(113\) 5235.13 0.409987 0.204994 0.978763i \(-0.434283\pi\)
0.204994 + 0.978763i \(0.434283\pi\)
\(114\) 9988.73 + 15184.1i 0.768600 + 1.16837i
\(115\) 22977.5i 1.73743i
\(116\) −1128.81 + 2468.05i −0.0838888 + 0.183416i
\(117\) 1425.07 + 8081.98i 0.104103 + 0.590400i
\(118\) −59.4818 + 2.81661i −0.00427189 + 0.000202285i
\(119\) 11298.8 + 13465.4i 0.797881 + 0.950878i
\(120\) −24389.0 + 13040.7i −1.69368 + 0.905606i
\(121\) −5955.70 + 10315.6i −0.406782 + 0.704568i
\(122\) 2531.02 8131.71i 0.170050 0.546339i
\(123\) −10572.8 29048.6i −0.698846 1.92006i
\(124\) −23592.8 + 6508.35i −1.53439 + 0.423280i
\(125\) −1223.20 2118.64i −0.0782847 0.135593i
\(126\) −6526.11 28932.6i −0.411068 1.82241i
\(127\) −9634.42 1698.81i −0.597335 0.105326i −0.133198 0.991089i \(-0.542525\pi\)
−0.464138 + 0.885763i \(0.653636\pi\)
\(128\) 5877.50 15293.5i 0.358734 0.933440i
\(129\) −485.672 407.527i −0.0291853 0.0244893i
\(130\) −8819.07 + 11581.3i −0.521838 + 0.685286i
\(131\) 9788.25 26893.0i 0.570378 1.56710i −0.233532 0.972349i \(-0.575028\pi\)
0.803910 0.594751i \(-0.202749\pi\)
\(132\) −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
\(136\) 8747.61 + 7839.63i 0.472946 + 0.423855i
\(137\) 6112.37 + 5128.88i 0.325663 + 0.273264i 0.790930 0.611907i \(-0.209597\pi\)
−0.465267 + 0.885170i \(0.654042\pi\)
\(138\) −33422.4 4274.94i −1.75501 0.224477i
\(139\) −4170.66 735.400i −0.215862 0.0380622i 0.0646714 0.997907i \(-0.479400\pi\)
−0.280533 + 0.959844i \(0.590511\pi\)
\(140\) 29857.3 43316.5i 1.52333 2.21002i
\(141\) −48.9856 84.8455i −0.00246394 0.00426767i
\(142\) −12789.0 + 24789.9i −0.634247 + 1.22941i
\(143\) 1894.09 + 5203.96i 0.0926249 + 0.254485i
\(144\) −7052.61 18523.0i −0.340114 0.893275i
\(145\) −2911.79 + 5043.37i −0.138492 + 0.239875i
\(146\) −16062.9 + 10316.6i −0.753559 + 0.483982i
\(147\) 54782.1 + 65286.8i 2.53515 + 3.02128i
\(148\) 13661.8 13864.6i 0.623713 0.632972i
\(149\) 4184.26 + 23730.1i 0.188472 + 1.06888i 0.921413 + 0.388584i \(0.127036\pi\)
−0.732942 + 0.680291i \(0.761853\pi\)
\(150\) −25717.4 + 10763.7i −1.14300 + 0.478385i
\(151\) 11836.1i 0.519103i −0.965729 0.259551i \(-0.916425\pi\)
0.965729 0.259551i \(-0.0835747\pi\)
\(152\) −21534.7 8369.76i −0.932075 0.362264i
\(153\) 14210.1 0.607035
\(154\) −7727.29 18462.7i −0.325826 0.778489i
\(155\) −51718.6 + 9119.39i −2.15270 + 0.379579i
\(156\) −15205.1 14982.7i −0.624798 0.615658i
\(157\) 7131.92 5984.39i 0.289339 0.242784i −0.486551 0.873652i \(-0.661745\pi\)
0.775891 + 0.630868i \(0.217301\pi\)
\(158\) 10263.2 + 15979.8i 0.411119 + 0.640112i
\(159\) −8154.19 4707.82i −0.322542 0.186220i
\(160\) 15656.5 31478.2i 0.611581 1.22962i
\(161\) 60230.3 21922.0i 2.32361 0.845724i
\(162\) 24307.8 + 12540.2i 0.926223 + 0.477833i
\(163\) −27755.8 + 16024.8i −1.04467 + 0.603140i −0.921152 0.389202i \(-0.872751\pi\)
−0.123517 + 0.992342i \(0.539417\pi\)
\(164\) 32354.8 + 22301.6i 1.20296 + 0.829180i
\(165\) −3920.47 + 22234.1i −0.144002 + 0.816679i
\(166\) −2630.43 + 20565.3i −0.0954577 + 0.746309i
\(167\) −16818.4 + 20043.4i −0.603049 + 0.718686i −0.978057 0.208336i \(-0.933195\pi\)
0.375009 + 0.927021i \(0.377640\pi\)
\(168\) 57452.0 + 51488.6i 2.03557 + 1.82428i
\(169\) 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 \(0.605095\pi\)
\(174\) −6794.21 5173.72i −0.224409 0.170885i
\(175\) 34088.9 40625.5i 1.11311 1.32655i
\(176\) −6857.38 11483.2i −0.221377 0.370712i
\(177\) 32.5379 184.531i 0.00103859 0.00589011i
\(178\) −23447.2 + 5288.82i −0.740034 + 0.166924i
\(179\) −14611.9 + 8436.18i −0.456037 + 0.263293i −0.710376 0.703822i \(-0.751475\pi\)
0.254339 + 0.967115i \(0.418142\pi\)
\(180\) −11310.0 40998.8i −0.349074 1.26539i
\(181\) 17322.3 6304.78i 0.528746 0.192448i −0.0638322 0.997961i \(-0.520332\pi\)
0.592578 + 0.805513i \(0.298110\pi\)
\(182\) 38771.7 + 12067.8i 1.17050 + 0.364323i
\(183\) 23208.1 + 13399.2i 0.693008 + 0.400108i
\(184\) 37772.0 20196.5i 1.11567 0.596542i
\(185\) 31995.6 26847.5i 0.934861 0.784441i
\(186\) −3642.60 76925.0i −0.105290 2.22352i
\(187\) 9443.43 1665.13i 0.270051 0.0476173i
\(188\) 113.257 + 51.7999i 0.00320441 + 0.00146559i
\(189\) −4312.38 −0.120724
\(190\) −44305.3 22245.9i −1.22729 0.616231i
\(191\) 19746.7i 0.541288i −0.962680 0.270644i \(-0.912763\pi\)
0.962680 0.270644i \(-0.0872366\pi\)
\(192\) 42874.4 + 28630.0i 1.16304 + 0.776637i
\(193\) −10148.2 57553.5i −0.272443 1.54510i −0.746968 0.664860i \(-0.768491\pi\)
0.474525 0.880242i \(-0.342620\pi\)
\(194\) 1684.82 + 35580.4i 0.0447663 + 0.945383i
\(195\) −29443.2 35089.0i −0.774311 0.922788i
\(196\) −104851. 27268.3i −2.72935 0.709815i
\(197\) −22209.2 + 38467.4i −0.572268 + 0.991198i 0.424064 + 0.905632i \(0.360603\pi\)
−0.996333 + 0.0855658i \(0.972730\pi\)
\(198\) −15448.9 4808.52i −0.394064 0.122654i
\(199\) 19522.6 + 53637.9i 0.492982 + 1.35446i 0.897938 + 0.440122i \(0.145065\pi\)
−0.404956 + 0.914336i \(0.632713\pi\)
\(200\) 18710.2 30098.1i 0.467756 0.752453i
\(201\) −9305.96 16118.4i −0.230340 0.398960i
\(202\) −26582.0 + 5995.91i −0.651456 + 0.146944i
\(203\) 15998.1 + 2820.89i 0.388218 + 0.0684533i
\(204\) −30120.6 + 21423.1i −0.723775 + 0.514781i
\(205\) 64594.4 + 54201.2i 1.53705 + 1.28974i
\(206\) −45892.5 34946.7i −1.08145 0.823516i
\(207\) 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 −0.978223 0.207555i \(-0.933449\pi\)
0.882776 + 0.469794i \(0.155672\pi\)
\(212\) 11915.5 1131.00i 0.265120 0.0251646i
\(213\) −67238.7 56420.0i −1.48204 1.24358i
\(214\) 3358.34 26256.2i 0.0733325 0.573329i
\(215\) 1703.11 + 300.304i 0.0368438 + 0.00649656i
\(216\) −2852.80 + 407.701i −0.0611453 + 0.00873846i
\(217\) 73247.2 + 126868.i 1.55551 + 2.69422i
\(218\) −80546.8 41553.6i −1.69487 0.874370i
\(219\) −20545.5 56448.4i −0.428380 1.17696i
\(220\) −12320.4 25920.8i −0.254553 0.535554i
\(221\) −9727.42 + 16848.4i −0.199165 + 0.344964i
\(222\) 33098.8 + 51534.8i 0.671594 + 1.04567i
\(223\) 33977.1 + 40492.3i 0.683245 + 0.814260i 0.990521 0.137361i \(-0.0438619\pi\)
−0.307276 + 0.951620i \(0.599417\pi\)
\(224\) −97450.2 11007.6i −1.94217 0.219380i
\(225\) −7444.70 42221.0i −0.147056 0.833995i
\(226\) −8084.81 19316.9i −0.158290 0.378198i
\(227\) 43500.3i 0.844191i 0.906551 + 0.422096i \(0.138705\pi\)
−0.906551 + 0.422096i \(0.861295\pi\)
\(228\) 40601.3 60306.4i 0.781034 1.16009i
\(229\) −14850.9 −0.283192 −0.141596 0.989925i \(-0.545223\pi\)
−0.141596 + 0.989925i \(0.545223\pi\)
\(230\) 84783.7 35485.0i 1.60272 0.670795i
\(231\) 62021.9 10936.1i 1.16231 0.204946i
\(232\) 10850.0 + 353.632i 0.201583 + 0.00657015i
\(233\) −6146.18 + 5157.25i −0.113212 + 0.0949963i −0.697636 0.716452i \(-0.745765\pi\)
0.584424 + 0.811448i \(0.301320\pi\)
\(234\) 27620.5 17739.6i 0.504429 0.323976i
\(235\) 231.436 + 133.619i 0.00419078 + 0.00241955i
\(236\) 102.253 + 215.129i 0.00183591 + 0.00386256i
\(237\) −56156.3 + 20439.2i −0.999774 + 0.363888i
\(238\) 32236.1 62486.0i 0.569101 1.10314i
\(239\) 27463.0 15855.8i 0.480787 0.277582i −0.239958 0.970783i \(-0.577134\pi\)
0.720744 + 0.693201i \(0.243800\pi\)
\(240\) 85783.3 + 69852.7i 1.48929 + 1.21272i
\(241\) 3266.61 18525.9i 0.0562423 0.318966i −0.943687 0.330839i \(-0.892668\pi\)
0.999930 + 0.0118729i \(0.00377936\pi\)
\(242\) 47260.6 + 6044.93i 0.806990 + 0.103219i
\(243\) −52978.3 + 63137.1i −0.897192 + 1.06923i
\(244\) −33913.6 + 3219.01i −0.569631 + 0.0540683i
\(245\) −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
\(250\) −5928.45 + 7785.32i −0.0948552 + 0.124565i
\(251\) 62461.9 74439.2i 0.991443 1.18156i 0.00806839 0.999967i \(-0.497432\pi\)
0.983375 0.181588i \(-0.0581238\pi\)
\(252\) −96678.4 + 68762.0i −1.52240 + 1.08280i
\(253\) 6071.73 34434.5i 0.0948575 0.537964i
\(254\) 8610.45 + 38173.1i 0.133462 + 0.591685i
\(255\) −68687.5 + 39656.8i −1.05633 + 0.609870i
\(256\) −65507.5 + 1931.19i −0.999566 + 0.0294677i
\(257\) 65688.5 23908.7i 0.994542 0.361984i 0.207065 0.978327i \(-0.433609\pi\)
0.787477 + 0.616344i \(0.211387\pi\)
\(258\) −753.674 + 2421.42i −0.0113226 + 0.0363773i
\(259\) −100900. 58254.9i −1.50416 0.868426i
\(260\) 56353.0 + 14655.6i 0.833625 + 0.216799i
\(261\) 10060.1 8441.42i 0.147680 0.123918i
\(262\) −114348. + 5414.65i −1.66581 + 0.0788802i
\(263\) −69331.5 + 12225.0i −1.00235 + 0.176741i −0.650655 0.759373i \(-0.725506\pi\)
−0.351695 + 0.936115i \(0.614395\pi\)
\(264\) 39995.8 13098.3i 0.573861 0.187935i
\(265\) 25683.3 0.365729
\(266\) −16042.5 + 137360.i −0.226730 + 1.94132i
\(267\) 75633.9i 1.06095i
\(268\) 21515.7 + 9840.61i 0.299562 + 0.137010i
\(269\) 12725.3 + 72168.8i 0.175859 + 0.997344i 0.937148 + 0.348932i \(0.113456\pi\)
−0.761289 + 0.648412i \(0.775433\pi\)
\(270\) −6176.82 + 292.488i −0.0847300 + 0.00401218i
\(271\) 72643.3 + 86572.9i 0.989138 + 1.17881i 0.983881 + 0.178822i \(0.0572288\pi\)
0.00525655 + 0.999986i \(0.498327\pi\)
\(272\) 15417.8 44384.5i 0.208394 0.599920i
\(273\) −63887.1 + 110656.i −0.857211 + 1.48473i
\(274\) 9485.27 30474.5i 0.126342 0.405915i
\(275\) −9894.88 27186.0i −0.130841 0.359484i
\(276\) 35841.6 + 129926.i 0.470510 + 1.70560i
\(277\) −1784.11 3090.17i −0.0232521 0.0402739i 0.854165 0.520002i \(-0.174069\pi\)
−0.877417 + 0.479728i \(0.840735\pi\)
\(278\) 3727.39 + 16524.8i 0.0482298 + 0.213820i
\(279\) 116628. + 20564.7i 1.49829 + 0.264189i
\(280\) −205941. 43273.9i −2.62680 0.551963i
\(281\) −23984.9 20125.8i −0.303757 0.254882i 0.478149 0.878279i \(-0.341308\pi\)
−0.781906 + 0.623396i \(0.785752\pi\)
\(282\) −237.417 + 311.780i −0.00298548 + 0.00392058i
\(283\) −11801.4 + 32424.2i −0.147354 + 0.404852i −0.991308 0.131564i \(-0.958000\pi\)
0.843954 + 0.536416i \(0.180222\pi\)
\(284\) 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
\(288\) −57455.4 + 54628.8i −0.692701 + 0.658623i
\(289\) −38175.3 32032.9i −0.457075 0.383531i
\(290\) 23106.1 + 2955.42i 0.274745 + 0.0351417i
\(291\) −110382. 19463.3i −1.30350 0.229842i
\(292\) 62873.1 + 43337.3i 0.737393 + 0.508272i
\(293\) −11236.5 19462.2i −0.130887 0.226703i 0.793132 0.609050i \(-0.208449\pi\)
−0.924019 + 0.382347i \(0.875116\pi\)
\(294\) 156297. 302963.i 1.80823 3.50505i
\(295\) 174.812 + 480.293i 0.00200876 + 0.00551902i
\(296\) −72256.9 28998.4i −0.824699 0.330972i
\(297\) −1176.25 + 2037.33i −0.0133348 + 0.0230966i
\(298\) 81098.7 52086.6i 0.913233 0.586534i
\(299\) 45599.4 + 54343.3i 0.510055 + 0.607860i
\(300\) 79432.7 + 78270.8i 0.882586 + 0.869675i
\(301\) −837.696 4750.81i −0.00924599 0.0524366i
\(302\) −43673.3 + 18278.9i −0.478853 + 0.200417i
\(303\) 85745.7i 0.933958i
\(304\) 2373.62 + 92385.5i 0.0256840 + 0.999670i
\(305\) −73098.9 −0.785799
\(306\) −21945.2 52433.1i −0.234367 0.559967i
\(307\) −83935.2 + 14800.0i −0.890569 + 0.157031i −0.600168 0.799874i \(-0.704900\pi\)
−0.290401 + 0.956905i \(0.593789\pi\)
\(308\) −56190.9 + 57025.1i −0.592332 + 0.601125i
\(309\) 139045. 116672.i 1.45626 1.22194i
\(310\) 113520. + 176751.i 1.18127 + 1.83924i
\(311\) 124152. + 71679.4i 1.28361 + 0.741095i 0.977507 0.210903i \(-0.0676403\pi\)
0.306106 + 0.951997i \(0.400974\pi\)
\(312\) −31802.0 + 79242.8i −0.326697 + 0.814049i
\(313\) 105640. 38449.8i 1.07830 0.392469i 0.259025 0.965871i \(-0.416599\pi\)
0.819274 + 0.573402i \(0.194377\pi\)
\(314\) −33095.6 17073.8i −0.335669 0.173170i
\(315\) −220467. + 127287.i −2.22189 + 1.28281i
\(316\) 43113.1 62547.8i 0.431753 0.626380i
\(317\) −17878.9 + 101396.i −0.177919 + 1.00903i 0.756802 + 0.653645i \(0.226761\pi\)
−0.934720 + 0.355384i \(0.884350\pi\)
\(318\) −4778.36 + 37358.2i −0.0472525 + 0.369430i
\(319\) 5696.36 6788.65i 0.0559778 0.0667117i
\(320\) −140329. 9157.15i −1.37040 0.0894253i
\(321\) 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
\(326\) 101994. + 77667.2i 0.959706 + 0.730807i
\(327\) 183318. 218470.i 1.71439 2.04314i
\(328\) 32323.0 153826.i 0.300444 1.42982i
\(329\) 129.448 734.137i 0.00119593 0.00678243i
\(330\) 88095.0 19871.0i 0.808953 0.182470i
\(331\) −68648.0 + 39633.9i −0.626573 + 0.361752i −0.779424 0.626497i \(-0.784488\pi\)
0.152851 + 0.988249i \(0.451155\pi\)
\(332\) 79945.2 22053.8i 0.725298 0.200082i
\(333\) −88507.5 + 32214.1i −0.798163 + 0.290507i
\(334\) 99930.6 + 31103.7i 0.895789 + 0.278817i
\(335\) 43966.6 + 25384.2i 0.391772 + 0.226190i
\(336\) 101260. 291505.i 0.896933 2.58207i
\(337\) −63370.6 + 53174.3i −0.557992 + 0.468211i −0.877637 0.479326i \(-0.840881\pi\)
0.319644 + 0.947538i \(0.396437\pi\)
\(338\) −3277.93 69223.9i −0.0286924 0.605930i
\(339\) 64891.4 11442.1i 0.564661 0.0995650i
\(340\) 41935.2 91688.0i 0.362761 0.793149i
\(341\) 79916.2 0.687268
\(342\) 76727.9 + 81312.1i 0.655996 + 0.695189i
\(343\) 418536.i 3.55750i
\(344\) −1003.32 3063.64i −0.00847856 0.0258893i
\(345\) 50220.6 + 284815.i 0.421933 + 2.39290i
\(346\) −214.049 4520.32i −0.00178797 0.0377587i
\(347\) 19426.0 + 23151.0i 0.161334 + 0.192270i 0.840655 0.541571i \(-0.182170\pi\)
−0.679321 + 0.733841i \(0.737726\pi\)
\(348\) −8597.73 + 33059.6i −0.0709946 + 0.272985i
\(349\) −1532.80 + 2654.89i −0.0125845 + 0.0217970i −0.872249 0.489062i \(-0.837339\pi\)
0.859665 + 0.510859i \(0.170673\pi\)
\(350\) −202547. 63043.4i −1.65345 0.514640i
\(351\) −1632.42 4485.04i −0.0132500 0.0364042i
\(352\) −31781.1 + 43036.6i −0.256498 + 0.347338i
\(353\) −43332.2 75053.5i −0.347745 0.602312i 0.638103 0.769951i \(-0.279719\pi\)
−0.985849 + 0.167638i \(0.946386\pi\)
\(354\) −731.143 + 164.919i −0.00583439 + 0.00131602i
\(355\) 235786. + 41575.5i 1.87095 + 0.329899i
\(356\) 55725.4 + 78349.1i 0.439697 + 0.618207i
\(357\) 169483. + 142213.i 1.32981 + 1.11585i
\(358\) 53693.9 + 40887.4i 0.418947 + 0.319024i
\(359\) −29411.4 + 80807.0i −0.228206 + 0.626990i −0.999960 0.00893093i \(-0.997157\pi\)
0.771755 + 0.635920i \(0.219379\pi\)
\(360\) −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
\(364\) −15348.1 161699.i −0.115838 1.22041i
\(365\) 125522. + 105326.i 0.942183 + 0.790585i
\(366\) 13600.0 106328.i 0.101526 0.793750i
\(367\) −117351. 20692.1i −0.871271 0.153629i −0.279901 0.960029i \(-0.590302\pi\)
−0.591370 + 0.806400i \(0.701413\pi\)
\(368\) −132855. 108183.i −0.981029 0.798845i
\(369\) −95075.5 164676.i −0.698258 1.20942i
\(370\) −148475. 76597.5i −1.08455 0.559514i
\(371\) −24503.6 67323.0i −0.178025 0.489120i
\(372\) −278217. + 132239.i −2.01047 + 0.955594i
\(373\) 65591.8 113608.i 0.471446 0.816569i −0.528020 0.849232i \(-0.677066\pi\)
0.999466 + 0.0326632i \(0.0103989\pi\)
\(374\) −20727.9 32273.3i −0.148188 0.230728i
\(375\) −19792.6 23587.9i −0.140747 0.167736i
\(376\) 16.2278 497.897i 0.000114785 0.00352179i
\(377\) 3122.12 + 17706.4i 0.0219668 + 0.124580i
\(378\) 6659.77 + 15912.1i 0.0466096 + 0.111363i
\(379\) 77675.2i 0.540759i −0.962754 0.270380i \(-0.912851\pi\)
0.962754 0.270380i \(-0.0871492\pi\)
\(380\) −13661.9 + 197835.i −0.0946117 + 1.37005i
\(381\) −123135. −0.848268
\(382\) −72862.5 + 30495.6i −0.499318 + 0.208983i
\(383\) −146772. + 25879.9i −1.00057 + 0.176427i −0.649856 0.760057i \(-0.725171\pi\)
−0.350710 + 0.936484i \(0.614060\pi\)
\(384\) 39427.8 202415.i 0.267387 1.37271i
\(385\) −131598. + 110424.i −0.887825 + 0.744973i
\(386\) −196692. + 126328.i −1.32011 + 0.847859i
\(387\) −3377.37 1949.93i −0.0225505 0.0130196i
\(388\) 128685. 61164.9i 0.854797 0.406293i
\(389\) −263136. + 95773.5i −1.73892 + 0.632916i −0.999200 0.0399954i \(-0.987266\pi\)
−0.739723 + 0.672912i \(0.765043\pi\)
\(390\) −84003.1 + 162830.i −0.552289 + 1.07055i
\(391\) 106378. 61417.5i 0.695824 0.401734i
\(392\) 61308.9 + 428995.i 0.398980 + 2.79177i
\(393\) 62550.7 354743.i 0.404993 2.29683i
\(394\) 176238. + 22541.9i 1.13529 + 0.145211i
\(395\) 104781. 124873.i 0.671564 0.800339i
\(396\) 6115.58 + 64430.1i 0.0389984 + 0.410865i
\(397\) 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 \(0.784442\pi\)
\(402\) −45103.0 + 59229.9i −0.279096 + 0.366513i
\(403\) −104220. + 124205.i −0.641714 + 0.764765i
\(404\) 63175.6 + 88824.0i 0.387068 + 0.544211i
\(405\) 40766.9 231201.i 0.248541 1.40954i
\(406\) −14297.7 63387.0i −0.0867392 0.384546i
\(407\) −55043.5 + 31779.4i −0.332290 + 0.191848i
\(408\) 125565. + 78056.1i 0.754305 + 0.468907i
\(409\) 91864.1 33435.8i 0.549160 0.199878i −0.0525131 0.998620i \(-0.516723\pi\)
0.601673 + 0.798742i \(0.294501\pi\)
\(410\) 100239. 322049.i 0.596304 1.91582i
\(411\) 86975.0 + 50215.0i 0.514886 + 0.297269i
\(412\) −58074.7 + 223306.i −0.342131 + 1.31555i
\(413\) 1092.19 916.460i 0.00640324 0.00537296i
\(414\) −207031. + 9803.43i −1.20791 + 0.0571975i
\(415\) 175251. 30901.4i 1.01757 0.179425i
\(416\) −25440.7 105519.i −0.147008 0.609737i
\(417\) −53304.3 −0.306542
\(418\) 60518.3 + 45045.7i 0.346365 + 0.257811i
\(419\) 94823.2i 0.540115i −0.962844 0.270058i \(-0.912957\pi\)
0.962844 0.270058i \(-0.0870427\pi\)
\(420\) 275419. 602182.i 1.56133 3.41373i
\(421\) −21168.3 120052.i −0.119433 0.677336i −0.984460 0.175611i \(-0.943810\pi\)
0.865027 0.501725i \(-0.167301\pi\)
\(422\) 49642.1 2350.68i 0.278757 0.0131998i
\(423\) −387.369 461.648i −0.00216493 0.00258007i
\(424\) −22574.9 42220.0i −0.125572 0.234848i
\(425\) 50816.9 88017.5i 0.281339 0.487294i
\(426\) −104342. + 335233.i −0.574964 + 1.84726i
\(427\) 69741.1 + 191612.i 0.382501 + 1.05091i
\(428\) −102068. + 28156.6i −0.557188 + 0.153707i
\(429\) 34851.9 + 60365.3i 0.189370 + 0.327999i
\(430\) −1522.10 6747.99i −0.00823199 0.0364953i
\(431\) −159213. 28073.5i −0.857083 0.151127i −0.272196 0.962242i \(-0.587750\pi\)
−0.584887 + 0.811115i \(0.698861\pi\)
\(432\) 5910.04 + 9896.78i 0.0316682 + 0.0530306i
\(433\) −17474.5 14662.9i −0.0932031 0.0782066i 0.594996 0.803729i \(-0.297154\pi\)
−0.688199 + 0.725522i \(0.741598\pi\)
\(434\) 355006. 466198.i 1.88476 2.47509i
\(435\) −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 \(-0.691643\pi\)
0.963611 0.267310i \(-0.0861346\pi\)
\(440\) −76617.1 + 85490.9i −0.395750 + 0.441585i
\(441\) 401591. + 336975.i 2.06494 + 1.73269i
\(442\) 77190.5 + 9873.16i 0.395111 + 0.0505373i
\(443\) 60412.7 + 10652.4i 0.307837 + 0.0542800i 0.325433 0.945565i \(-0.394490\pi\)
−0.0175956 + 0.999845i \(0.505601\pi\)
\(444\) 139040. 201717.i 0.705301 1.02324i
\(445\) 103154. + 178669.i 0.520916 + 0.902253i
\(446\) 96938.7 187904.i 0.487335 0.944642i
\(447\) 103731. + 284998.i 0.519151 + 1.42635i
\(448\) 109879. + 376576.i 0.547470 + 1.87628i
\(449\) 29206.1 50586.5i 0.144871 0.250924i −0.784454 0.620187i \(-0.787057\pi\)
0.929325 + 0.369263i \(0.120390\pi\)
\(450\) −144292. + 92673.3i −0.712554 + 0.457646i
\(451\) −82479.9 98295.7i −0.405504 0.483261i
\(452\) −58790.7 + 59663.5i −0.287761 + 0.292033i
\(453\) −25869.4 146713.i −0.126064 0.714942i
\(454\) 160510. 67179.2i 0.778735 0.325929i
\(455\) 348533.i 1.68353i
\(456\) −285224. 56679.3i −1.37169 0.272581i
\(457\) 62532.6 0.299415 0.149708 0.988730i \(-0.452167\pi\)
0.149708 + 0.988730i \(0.452167\pi\)
\(458\) 22934.7 + 54797.5i 0.109336 + 0.261234i
\(459\) −8138.83 + 1435.09i −0.0386310 + 0.00681169i
\(460\) −261869. 258038.i −1.23757 1.21946i
\(461\) −218149. + 183049.i −1.02648 + 0.861323i −0.990428 0.138027i \(-0.955924\pi\)
−0.0360558 + 0.999350i \(0.511479\pi\)
\(462\) −136135. 211963.i −0.637804 0.993059i
\(463\) 255292. + 147393.i 1.19090 + 0.687566i 0.958511 0.285057i \(-0.0920124\pi\)
0.232389 + 0.972623i \(0.425346\pi\)
\(464\) −15451.2 40581.1i −0.0717673 0.188490i
\(465\) −621140. + 226077.i −2.87266 + 1.04556i
\(466\) 28521.3 + 14713.9i 0.131340 + 0.0677575i
\(467\) −204337. + 117974.i −0.936942 + 0.540944i −0.889000 0.457906i \(-0.848600\pi\)
−0.0479417 + 0.998850i \(0.515266\pi\)
\(468\) −108112. 74519.8i −0.493608 0.340236i
\(469\) 24591.7 139467.i 0.111800 0.634051i
\(470\) 135.621 1060.32i 0.000613950 0.00479999i
\(471\) 75323.2 89766.7i 0.339537 0.404644i
\(472\) 635.882 709.530i 0.00285426 0.00318483i
\(473\) −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
\(478\) −100918. 76847.8i −0.441684 0.336338i
\(479\) −150695. + 179592.i −0.656794 + 0.782736i −0.986922 0.161200i \(-0.948464\pi\)
0.330128 + 0.943936i \(0.392908\pi\)
\(480\) 125268. 424404.i 0.543698 1.84203i
\(481\) 22392.1 126992.i 0.0967844 0.548892i
\(482\) −73402.5 + 16556.9i −0.315949 + 0.0712664i
\(483\) 698663. 403374.i 2.99484 1.72907i
\(484\) −50681.4 183720.i −0.216350 0.784271i
\(485\) 287298. 104568.i 1.22138 0.444545i
\(486\) 314783. + 97977.2i 1.33272 + 0.414813i
\(487\) −128478. 74176.6i −0.541713 0.312758i 0.204060 0.978958i \(-0.434586\pi\)
−0.745773 + 0.666200i \(0.767920\pi\)
\(488\) 64251.7 + 120165.i 0.269802 + 0.504589i
\(489\) −309020. + 259298.i −1.29231 + 1.08438i
\(490\) 43983.5 + 928851.i 0.183188 + 3.86860i
\(491\) −45454.1 + 8014.78i −0.188543 + 0.0332452i −0.267122 0.963663i \(-0.586073\pi\)
0.0785793 + 0.996908i \(0.474962\pi\)
\(492\) 449794. + 205721.i 1.85816 + 0.849863i
\(493\) 31132.2 0.128090
\(494\) −148933. + 35311.9i −0.610289 + 0.144699i
\(495\) 138876.i 0.566782i
\(496\) 190774. 341970.i 0.775453 1.39003i
\(497\) −115975. 657725.i −0.469516 2.66276i
\(498\) 12343.1 + 260664.i 0.0497698 + 1.05105i
\(499\) −257682. 307093.i −1.03486 1.23330i −0.971927 0.235285i \(-0.924398\pi\)
−0.0629368 0.998018i \(-0.520047\pi\)
\(500\) 37882.2 + 9851.94i 0.151529 + 0.0394078i
\(501\) −164663. + 285205.i −0.656026 + 1.13627i
\(502\) −371132. 115516.i −1.47272 0.458390i
\(503\) −51365.3 141125.i −0.203018 0.557786i 0.795843 0.605503i \(-0.207028\pi\)
−0.998861 + 0.0477164i \(0.984806\pi\)
\(504\) 403026. + 250537.i 1.58662 + 0.986306i
\(505\) 116946. + 202556.i 0.458565 + 0.794258i
\(506\) −136435. + 30774.7i −0.532875 + 0.120197i
\(507\) 214755. + 37867.0i 0.835462 + 0.147314i
\(508\) 127556. 90723.5i 0.494280 0.351554i
\(509\) 13041.1 + 10942.8i 0.0503361 + 0.0422370i 0.667609 0.744512i \(-0.267318\pi\)
−0.617273 + 0.786749i \(0.711762\pi\)
\(510\) 252404. + 192204.i 0.970413 + 0.738960i
\(511\) 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
\(516\) 10098.6 958.539i 0.0379282 0.00360007i
\(517\) −311.525 261.401i −0.00116550 0.000977970i
\(518\) −59127.7 + 462273.i −0.220359 + 1.72282i
\(519\) 14023.5 + 2472.72i 0.0520621 + 0.00917994i
\(520\) −32951.1 230568.i −0.121860 0.852691i
\(521\) −169595. 293748.i −0.624796 1.08218i −0.988580 0.150696i \(-0.951849\pi\)
0.363784 0.931483i \(-0.381485\pi\)
\(522\) −46683.8 24083.9i −0.171327 0.0883864i
\(523\) −96792.7 265936.i −0.353866 0.972239i −0.981116 0.193421i \(-0.938042\pi\)
0.627250 0.778818i \(-0.284181\pi\)
\(524\) 196571. + 413564.i 0.715906 + 1.50619i
\(525\) 333752. 578075.i 1.21089 2.09733i
\(526\) 152180. + 236944.i 0.550029 + 0.856394i
\(527\) 180460. + 215064.i 0.649772 + 0.774368i
\(528\) −110098. 127350.i −0.394922 0.456807i
\(529\) −29184.1 165511.i −0.104288 0.591447i
\(530\) −39663.8 94767.8i −0.141202 0.337372i
\(531\) 1152.60i 0.00408779i
\(532\) 531614. 152936.i 1.87834 0.540364i
\(533\) 260333. 0.916380
\(534\) −279078. + 116804.i −0.978685 + 0.409615i
\(535\) −223747. + 39452.6i −0.781716 + 0.137838i
\(536\) 3082.86 94587.2i 0.0107306 0.329232i
\(537\) −162681. + 136506.i −0.564143 + 0.473373i
\(538\) 246640. 158408.i 0.852117 0.547282i
\(539\) 306367. + 176881.i 1.05454 + 0.608842i
\(540\) 10618.3 + 22339.9i 0.0364140 + 0.0766113i
\(541\) 456389. 166112.i 1.55934 0.567553i 0.588755 0.808312i \(-0.299618\pi\)
0.970585 + 0.240759i \(0.0773962\pi\)
\(542\) 207256. 401741.i 0.705517 1.36756i
\(543\) 200936. 116010.i 0.681488 0.393457i
\(544\) −187582. + 11655.1i −0.633862 + 0.0393837i
\(545\) −135086. + 766111.i −0.454797 + 2.57928i
\(546\) 506966. + 64844.3i 1.70057 + 0.217514i
\(547\) 26524.4 31610.5i 0.0886483 0.105647i −0.719897 0.694081i \(-0.755811\pi\)
0.808545 + 0.588434i \(0.200255\pi\)
\(548\) −127095. + 12063.6i −0.423220 + 0.0401712i
\(549\) 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
\(554\) −8647.01 + 11355.4i −0.0281739 + 0.0369983i
\(555\) 337919. 402716.i 1.09705 1.30741i
\(556\) 55217.9 39273.5i 0.178620 0.127043i
\(557\) −80795.1 + 458212.i −0.260420 + 1.47692i 0.521346 + 0.853345i \(0.325430\pi\)
−0.781766 + 0.623572i \(0.785681\pi\)
\(558\) −104233. 462101.i −0.334762 1.48412i
\(559\) 4623.92 2669.62i 0.0147974 0.00854330i
\(560\) 158368. + 826723.i 0.505002 + 2.63623i
\(561\) 113416. 41279.9i 0.360368 0.131163i
\(562\) −37220.3 + 119582.i −0.117844 + 0.378611i
\(563\) −94122.5 54341.6i −0.296945 0.171442i 0.344124 0.938924i \(-0.388176\pi\)
−0.641070 + 0.767483i \(0.721509\pi\)
\(564\) 1517.07 + 394.542i 0.00476924 + 0.00124032i
\(565\) −137686. + 115533.i −0.431315 + 0.361916i
\(566\) 137866. 6528.31i 0.430352 0.0203783i
\(567\) −644933. + 113719.i −2.00608 + 0.353726i
\(568\) −138904. 424145.i −0.430545 1.31467i
\(569\) 480813. 1.48509 0.742543 0.669798i \(-0.233619\pi\)
0.742543 + 0.669798i \(0.233619\pi\)
\(570\) −597803. 178912.i −1.83996 0.550666i
\(571\) 41392.9i 0.126956i −0.997983 0.0634781i \(-0.979781\pi\)
0.997983 0.0634781i \(-0.0202193\pi\)
\(572\) −80578.9 36854.2i −0.246280 0.112641i
\(573\) −43159.2 244768.i −0.131451 0.745497i
\(574\) −939811. + 44502.5i −2.85244 + 0.135070i
\(575\) −238216. 283894.i −0.720501 0.858660i
\(576\) 290303. + 127637.i 0.874996 + 0.384708i
\(577\) 184212. 319065.i 0.553307 0.958356i −0.444726 0.895667i \(-0.646699\pi\)
0.998033 0.0626894i \(-0.0199677\pi\)
\(578\) −59241.1 + 190331.i −0.177324 + 0.569710i
\(579\) −251583. 691217.i −0.750453 2.06185i
\(580\) −24778.5 89822.3i −0.0736580 0.267010i
\(581\) −248201. 429898.i −0.735279 1.27354i
\(582\) 98650.1 + 437351.i 0.291240 + 1.29117i
\(583\) −38489.5 6786.74i −0.113241 0.0199675i
\(584\) 62811.2 298920.i 0.184167 0.876454i
\(585\) −215839. 181110.i −0.630694 0.529215i
\(586\) −54459.7 + 71517.3i −0.158592 + 0.208265i
\(587\) −80758.4 + 221882.i −0.234375 + 0.643940i 0.765625 + 0.643288i \(0.222430\pi\)
−1.00000 0.000652783i \(0.999792\pi\)
\(588\) −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
\(592\) 4589.12 + 311401.i 0.0130944 + 0.888538i
\(593\) 331232. + 277936.i 0.941938 + 0.790380i 0.977922 0.208972i \(-0.0670119\pi\)
−0.0359833 + 0.999352i \(0.511456\pi\)
\(594\) 9333.98 + 1193.88i 0.0264542 + 0.00338366i
\(595\) −594328. 104796.i −1.67877 0.296013i
\(596\) −317436. 218803.i −0.893641 0.615972i
\(597\) 359223. + 622193.i 1.00790 + 1.74573i
\(598\) 130098. 252180.i 0.363804 0.705192i
\(599\) 164688. + 452476.i 0.458995 + 1.26108i 0.926234 + 0.376948i \(0.123026\pi\)
−0.467239 + 0.884131i \(0.654751\pi\)
\(600\) 166137. 413972.i 0.461491 1.14992i
\(601\) −191579. + 331824.i −0.530394 + 0.918669i 0.468977 + 0.883210i \(0.344623\pi\)
−0.999371 + 0.0354590i \(0.988711\pi\)
\(602\) −16236.1 + 10427.8i −0.0448011 + 0.0287741i
\(603\) −73589.8 87701.0i −0.202387 0.241196i
\(604\) 134893. + 132919.i 0.369756 + 0.364347i
\(605\) −71013.8 402740.i −0.194014 1.10031i
\(606\) −316389. + 132420.i −0.861542 + 0.360587i
\(607\) 411877.i 1.11787i 0.829213 + 0.558933i \(0.188789\pi\)
−0.829213 + 0.558933i \(0.811211\pi\)
\(608\) 337223. 151433.i 0.912243 0.409650i
\(609\) 204468. 0.551303
\(610\) 112889. + 269724.i 0.303385 + 0.724871i
\(611\) 812.531 143.271i 0.00217650 0.000383775i
\(612\) −159580. + 161949.i −0.426064 + 0.432389i
\(613\) −78949.7 + 66246.7i −0.210102 + 0.176296i −0.741766 0.670659i \(-0.766011\pi\)
0.531664 + 0.846955i \(0.321567\pi\)
\(614\) 184234. + 286852.i 0.488690 + 0.760890i
\(615\) 919137. + 530664.i 2.43013 + 1.40304i
\(616\) 297192. + 119270.i 0.783206 + 0.314319i
\(617\) −319958. + 116455.i −0.840470 + 0.305906i −0.726149 0.687538i \(-0.758692\pi\)
−0.114321 + 0.993444i \(0.536469\pi\)
\(618\) −645237. 332873.i −1.68944 0.871570i
\(619\) −361434. + 208674.i −0.943296 + 0.544612i −0.890992 0.454019i \(-0.849990\pi\)
−0.0523039 + 0.998631i \(0.516656\pi\)
\(620\) 476871. 691836.i 1.24056 1.79978i
\(621\) −5232.93 + 29677.4i −0.0135694 + 0.0769561i
\(622\) 72753.4 568801.i 0.188050 1.47021i
\(623\) 369923. 440857.i 0.953092 1.13585i
\(624\) 341507. 5032.81i 0.877063 0.0129253i
\(625\) 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
\(630\) 810145. + 616918.i 2.04118 + 1.55434i
\(631\) 15500.4 18472.7i 0.0389300 0.0463949i −0.746228 0.665690i \(-0.768137\pi\)
0.785158 + 0.619295i \(0.212582\pi\)
\(632\) −297373. 62486.3i −0.744506 0.156441i
\(633\) −27155.3 + 154006.i −0.0677716 + 0.384352i
\(634\) 401748. 90619.5i 0.999484 0.225446i
\(635\) 290881. 167940.i 0.721385 0.416492i
\(636\) 145226. 40062.3i 0.359029 0.0990425i
\(637\) −674446. + 245478.i −1.66214 + 0.604971i
\(638\) −33846.2 10534.8i −0.0831513 0.0258811i
\(639\) −467579. 269957.i −1.14513 0.661139i
\(640\) 182927. + 531935.i 0.446598 + 1.29867i
\(641\) −70869.2 + 59466.3i −0.172481 + 0.144729i −0.724942 0.688810i \(-0.758133\pi\)
0.552461 + 0.833539i \(0.313689\pi\)
\(642\) −15758.7 332796.i −0.0382341 0.807435i
\(643\) −53595.9 + 9450.40i −0.129631 + 0.0228575i −0.238087 0.971244i \(-0.576520\pi\)
0.108456 + 0.994101i \(0.465409\pi\)
\(644\) −426548. + 932615.i −1.02848 + 2.24870i
\(645\) 21767.0 0.0523214
\(646\) 15434.1 + 264581.i 0.0369842 + 0.634006i
\(647\) 433335.i 1.03518i −0.855629 0.517589i \(-0.826830\pi\)
0.855629 0.517589i \(-0.173170\pi\)
\(648\) −415896. + 136203.i −0.990454 + 0.324366i
\(649\) −135.061 765.968i −0.000320657 0.00181853i
\(650\) −11105.2 234521.i −0.0262844 0.555080i
\(651\) 1.18522e6 + 1.41248e6i 2.79663 + 3.33290i
\(652\) 129068. 496286.i 0.303615 1.16745i
\(653\) 88713.4 153656.i 0.208048 0.360349i −0.743052 0.669234i \(-0.766622\pi\)
0.951099 + 0.308885i \(0.0999557\pi\)
\(654\) −1.08923e6 339026.i −2.54662 0.792643i
\(655\) 336059. + 923314.i 0.783308 + 2.15212i
\(656\) −617512. + 118292.i −1.43495 + 0.274882i
\(657\) −184754. 320004.i −0.428020 0.741352i
\(658\) −2908.77 + 656.110i −0.00671827 + 0.00151539i
\(659\) 345211. + 60870.0i 0.794902 + 0.140163i 0.556329 0.830962i \(-0.312209\pi\)
0.238573 + 0.971125i \(0.423320\pi\)
\(660\) −209369. 294370.i −0.480646 0.675781i
\(661\) −493112. 413770.i −1.12861 0.947014i −0.129600 0.991566i \(-0.541369\pi\)
−0.999007 + 0.0445527i \(0.985814\pi\)
\(662\) 252259. + 192093.i 0.575613 + 0.438324i
\(663\) −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
\(668\) −39558.4 416764.i −0.0886514 0.933979i
\(669\) 509661. + 427656.i 1.13875 + 0.955526i
\(670\) 25764.5 201432.i 0.0573947 0.448724i
\(671\) 109547. + 19316.2i 0.243308 + 0.0429018i
\(672\) −1.23199e6 + 76547.2i −2.72815 + 0.169508i
\(673\) 236662. + 409911.i 0.522515 + 0.905022i 0.999657 + 0.0261962i \(0.00833946\pi\)
−0.477142 + 0.878826i \(0.658327\pi\)
\(674\) 294071. + 151709.i 0.647340 + 0.333959i
\(675\) 8527.91 + 23430.2i 0.0187169 + 0.0514244i
\(676\) −250364. + 119000.i −0.547871 + 0.260408i
\(677\) −259304. + 449128.i −0.565760 + 0.979925i 0.431219 + 0.902247i \(0.358084\pi\)
−0.996979 + 0.0776775i \(0.975250\pi\)
\(678\) −142434. 221769.i −0.309852 0.482439i
\(679\) −548202. 653322.i −1.18905 1.41706i
\(680\) −403077. 13137.4i −0.871707 0.0284114i
\(681\) 95076.1 + 539203.i 0.205011 + 1.16267i
\(682\) −123418. 294879.i −0.265343 0.633979i
\(683\) 404044.i 0.866138i −0.901361 0.433069i \(-0.857431\pi\)
0.901361 0.433069i \(-0.142569\pi\)
\(684\) 181536. 408688.i 0.388017 0.873534i
\(685\) −273946. −0.583827
\(686\) 1.54434e6 646360.i 3.28166 1.37349i
\(687\) −184082. + 32458.6i −0.390030 + 0.0687728i
\(688\) −9754.91 + 8433.39i −0.0206085 + 0.0178166i
\(689\) 60742.7 50969.2i 0.127955 0.107367i
\(690\) 973369. 625157.i 2.04446 1.31308i
\(691\) −133301. 76961.6i −0.279176 0.161182i 0.353874 0.935293i \(-0.384864\pi\)
−0.633050 + 0.774111i \(0.718197\pi\)
\(692\) −16348.8 + 7770.72i −0.0341407 + 0.0162274i
\(693\) 364031. 132496.i 0.758004 0.275891i
\(694\) 55423.6 107432.i 0.115074 0.223057i
\(695\) 125920. 72699.8i 0.260690 0.150509i
\(696\) 135263. 19330.8i 0.279229 0.0399054i
\(697\) 78276.3 443927.i 0.161126 0.913790i
\(698\) 12163.3 + 1555.77i 0.0249656 + 0.00319326i
\(699\) −64912.3 + 77359.5i −0.132853 + 0.158328i
\(700\) 80180.0 + 844729.i 0.163633 + 1.72394i
\(701\) −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
\(706\) −210017. + 275797.i −0.421352 + 0.553326i
\(707\) 419380. 499797.i 0.839012 0.999896i
\(708\) 1737.66 + 2443.12i 0.00346655 + 0.00487392i
\(709\) −154234. + 874704.i −0.306823 + 1.74008i 0.307977 + 0.951394i \(0.400348\pi\)
−0.614799 + 0.788684i \(0.710763\pi\)
\(710\) −210726. 934223.i −0.418024 1.85325i
\(711\) −318348. + 183798.i −0.629743 + 0.363582i
\(712\) 203038. 326616.i 0.400513 0.644284i
\(713\) 961977. 350131.i 1.89228 0.688734i
\(714\) 263007. 844995.i 0.515907 1.65751i
\(715\) −164660. 95066.6i −0.322089 0.185958i
\(716\) 67947.0 261267.i 0.132539 0.509634i
\(717\) 305760. 256563.i 0.594760 0.499063i
\(718\) 343587. 16269.7i 0.666482 0.0315596i
\(719\) −845429. + 149072.i −1.63538 + 0.288362i −0.914467 0.404661i \(-0.867389\pi\)
−0.720915 + 0.693023i \(0.756278\pi\)
\(720\) 594265. + 331521.i 1.14635 + 0.639508i
\(721\) 1.38111e6 2.65679
\(722\) −211742. 476343.i −0.406194 0.913787i
\(723\) 236775.i 0.452959i
\(724\) −122676. + 268221.i −0.234035 + 0.511699i
\(725\) −16310.2 92500.0i −0.0310302 0.175981i
\(726\) 599025. 28365.4i 1.13651 0.0538165i
\(727\) −99394.4 118454.i −0.188059 0.224119i 0.663775 0.747933i \(-0.268953\pi\)
−0.851833 + 0.523813i \(0.824509\pi\)
\(728\) −572942. + 306350.i −1.08106 + 0.578036i
\(729\) −241753. + 418729.i −0.454902 + 0.787913i
\(730\) 194788. 625817.i 0.365524 1.17436i
\(731\) −3162.00 8687.51i −0.00591734 0.0162578i
\(732\) −413336. + 114024.i −0.771403 + 0.212801i
\(733\) 87735.6 + 151963.i 0.163293 + 0.282832i 0.936048 0.351873i \(-0.114455\pi\)
−0.772755 + 0.634705i \(0.781122\pi\)
\(734\) 104878. + 464962.i 0.194667 + 0.863029i
\(735\) −2.88159e6 508103.i −5.33406 0.940539i
\(736\) −194006. + 657286.i −0.358146 + 1.21339i
\(737\) −59181.5 49659.2i −0.108956 0.0914249i
\(738\) −460800. + 605130.i −0.846058 + 1.11106i
\(739\) −174406. + 479177.i −0.319355 + 0.877420i 0.671320 + 0.741168i \(0.265728\pi\)
−0.990674 + 0.136252i \(0.956494\pi\)
\(740\) −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 \(0.544853\pi\)
−0.528831 + 0.848727i \(0.677369\pi\)
\(744\) 917603. + 822357.i 1.65771 + 1.48564i
\(745\) −633741. 531772.i −1.14182 0.958105i
\(746\) −520494. 66574.6i −0.935273 0.119627i
\(747\) −395201. 69684.5i −0.708233 0.124881i
\(748\) −87073.0 + 126324.i −0.155625 + 0.225778i
\(749\) 316885. + 548860.i 0.564856 + 0.978359i
\(750\) −56469.5 + 109460.i −0.100390 + 0.194595i
\(751\) −231760. 636756.i −0.410922 1.12900i −0.956702 0.291070i \(-0.905989\pi\)
0.545780 0.837929i \(-0.316234\pi\)
\(752\) −1862.23 + 709.042i −0.00329304 + 0.00125382i
\(753\) 611542. 1.05922e6i 1.07854 1.86809i
\(754\) 60512.5 38864.8i 0.106439 0.0683619i
\(755\) 261207. + 311294.i 0.458238 + 0.546106i
\(756\) 48428.2 49147.2i 0.0847334 0.0859914i
\(757\) −96139.2 545233.i −0.167768 0.951459i −0.946164 0.323686i \(-0.895078\pi\)
0.778397 0.627773i \(-0.216033\pi\)
\(758\) −286610. + 119957.i −0.498831 + 0.208779i
\(759\) 440100.i 0.763954i
\(760\) 751082. 255114.i 1.30035 0.441680i
\(761\) −103331. −0.178427 −0.0892135 0.996013i \(-0.528435\pi\)
−0.0892135 + 0.996013i \(0.528435\pi\)
\(762\) 190163. + 454351.i 0.327503 + 0.782496i
\(763\) 2.13706e6 376822.i 3.67086 0.647272i
\(764\) 225049. + 221756.i 0.385558 + 0.379918i
\(765\) −373732. + 313598.i −0.638613 + 0.535860i
\(766\) 322159. + 501600.i 0.549050 + 0.854870i
\(767\) 1366.59 + 789.003i 0.00232300 + 0.00134118i
\(768\) −807770. + 167114.i −1.36951 + 0.283328i
\(769\) −166552. + 60619.9i −0.281642 + 0.102509i −0.478979 0.877827i \(-0.658993\pi\)
0.197337 + 0.980336i \(0.436771\pi\)
\(770\) 610679. + 315045.i 1.02999 + 0.531363i