Properties

Label 36.5.f.a.7.16
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.16
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.16

$q$-expansion

\(f(q)\) \(=\) \(q+(2.58866 + 3.04940i) q^{2} +(-2.22096 + 8.72166i) q^{3} +(-2.59770 + 15.7877i) q^{4} +(-5.51579 - 9.55363i) q^{5} +(-32.3451 + 15.8048i) q^{6} +(10.3188 + 5.95759i) q^{7} +(-54.8676 + 32.9476i) q^{8} +(-71.1347 - 38.7409i) q^{9} +O(q^{10})\) \(q+(2.58866 + 3.04940i) q^{2} +(-2.22096 + 8.72166i) q^{3} +(-2.59770 + 15.7877i) q^{4} +(-5.51579 - 9.55363i) q^{5} +(-32.3451 + 15.8048i) q^{6} +(10.3188 + 5.95759i) q^{7} +(-54.8676 + 32.9476i) q^{8} +(-71.1347 - 38.7409i) q^{9} +(14.8544 - 41.5509i) q^{10} +(189.995 + 109.694i) q^{11} +(-131.926 - 57.7201i) q^{12} +(18.5350 + 32.1036i) q^{13} +(8.54488 + 46.8884i) q^{14} +(95.5738 - 26.8886i) q^{15} +(-242.504 - 82.0235i) q^{16} +284.021 q^{17} +(-66.0069 - 317.205i) q^{18} +45.4901i q^{19} +(165.158 - 62.2643i) q^{20} +(-74.8777 + 76.7659i) q^{21} +(157.332 + 863.330i) q^{22} +(174.319 - 100.643i) q^{23} +(-165.499 - 551.712i) q^{24} +(251.652 - 435.874i) q^{25} +(-49.9160 + 139.626i) q^{26} +(495.872 - 534.371i) q^{27} +(-120.862 + 147.435i) q^{28} +(614.153 - 1063.74i) q^{29} +(329.402 + 221.838i) q^{30} +(-1311.83 + 757.384i) q^{31} +(-377.637 - 951.823i) q^{32} +(-1378.68 + 1413.45i) q^{33} +(735.233 + 866.094i) q^{34} -131.443i q^{35} +(796.416 - 1022.42i) q^{36} -1521.29 q^{37} +(-138.718 + 117.758i) q^{38} +(-321.162 + 90.3555i) q^{39} +(617.407 + 342.453i) q^{40} +(1316.97 + 2281.07i) q^{41} +(-427.923 - 29.6117i) q^{42} +(-34.6057 - 19.9796i) q^{43} +(-2225.36 + 2714.63i) q^{44} +(22.2482 + 893.281i) q^{45} +(758.153 + 271.038i) q^{46} +(-2498.36 - 1442.43i) q^{47} +(1253.97 - 1932.87i) q^{48} +(-1129.51 - 1956.38i) q^{49} +(1980.60 - 360.941i) q^{50} +(-630.798 + 2477.13i) q^{51} +(-554.991 + 209.230i) q^{52} +1415.13 q^{53} +(2913.15 + 128.809i) q^{54} -2420.19i q^{55} +(-762.458 + 13.1019i) q^{56} +(-396.749 - 101.032i) q^{57} +(4833.61 - 880.870i) q^{58} +(2453.33 - 1416.43i) q^{59} +(176.238 + 1578.74i) q^{60} +(2628.64 - 4552.93i) q^{61} +(-5705.44 - 2039.68i) q^{62} +(-503.226 - 823.552i) q^{63} +(1924.92 - 3615.51i) q^{64} +(204.471 - 354.154i) q^{65} +(-7879.10 - 545.223i) q^{66} +(805.917 - 465.296i) q^{67} +(-737.801 + 4484.04i) q^{68} +(490.620 + 1743.87i) q^{69} +(400.823 - 340.261i) q^{70} +1162.75i q^{71} +(5179.41 - 218.094i) q^{72} -2162.87 q^{73} +(-3938.11 - 4639.03i) q^{74} +(3242.64 + 3162.88i) q^{75} +(-718.185 - 118.170i) q^{76} +(1307.02 + 2263.82i) q^{77} +(-1106.91 - 745.454i) q^{78} +(6482.54 + 3742.70i) q^{79} +(553.978 + 2769.22i) q^{80} +(3559.29 + 5511.64i) q^{81} +(-3546.69 + 9920.88i) q^{82} +(-966.756 - 558.157i) q^{83} +(-1017.45 - 1381.56i) q^{84} +(-1566.60 - 2713.43i) q^{85} +(-28.6565 - 157.247i) q^{86} +(7913.60 + 7718.96i) q^{87} +(-14038.7 + 241.238i) q^{88} -6739.71 q^{89} +(-2666.38 + 2380.24i) q^{90} +441.696i q^{91} +(1136.10 + 3013.54i) q^{92} +(-3692.13 - 13123.4i) q^{93} +(-2068.85 - 11352.5i) q^{94} +(434.596 - 250.914i) q^{95} +(9140.19 - 1179.66i) q^{96} +(-6023.28 + 10432.6i) q^{97} +(3041.85 - 8508.73i) q^{98} +(-9265.60 - 15163.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.58866 + 3.04940i 0.647164 + 0.762350i
\(3\) −2.22096 + 8.72166i −0.246773 + 0.969073i
\(4\) −2.59770 + 15.7877i −0.162356 + 0.986732i
\(5\) −5.51579 9.55363i −0.220632 0.382145i 0.734368 0.678751i \(-0.237479\pi\)
−0.955000 + 0.296606i \(0.904145\pi\)
\(6\) −32.3451 + 15.8048i −0.898476 + 0.439022i
\(7\) 10.3188 + 5.95759i 0.210589 + 0.121583i 0.601585 0.798809i \(-0.294536\pi\)
−0.390996 + 0.920392i \(0.627869\pi\)
\(8\) −54.8676 + 32.9476i −0.857307 + 0.514806i
\(9\) −71.1347 38.7409i −0.878206 0.478282i
\(10\) 14.8544 41.5509i 0.148544 0.415509i
\(11\) 189.995 + 109.694i 1.57021 + 0.906559i 0.996143 + 0.0877473i \(0.0279668\pi\)
0.574063 + 0.818811i \(0.305367\pi\)
\(12\) −131.926 57.7201i −0.916151 0.400834i
\(13\) 18.5350 + 32.1036i 0.109675 + 0.189962i 0.915639 0.402003i \(-0.131686\pi\)
−0.805964 + 0.591965i \(0.798352\pi\)
\(14\) 8.54488 + 46.8884i 0.0435963 + 0.239227i
\(15\) 95.5738 26.8886i 0.424773 0.119505i
\(16\) −242.504 82.0235i −0.947281 0.320404i
\(17\) 284.021 0.982771 0.491386 0.870942i \(-0.336491\pi\)
0.491386 + 0.870942i \(0.336491\pi\)
\(18\) −66.0069 317.205i −0.203725 0.979028i
\(19\) 45.4901i 0.126011i 0.998013 + 0.0630057i \(0.0200686\pi\)
−0.998013 + 0.0630057i \(0.979931\pi\)
\(20\) 165.158 62.2643i 0.412896 0.155661i
\(21\) −74.8777 + 76.7659i −0.169791 + 0.174072i
\(22\) 157.332 + 863.330i 0.325066 + 1.78374i
\(23\) 174.319 100.643i 0.329525 0.190252i −0.326105 0.945334i \(-0.605736\pi\)
0.655630 + 0.755082i \(0.272403\pi\)
\(24\) −165.499 551.712i −0.287324 0.957833i
\(25\) 251.652 435.874i 0.402643 0.697399i
\(26\) −49.9160 + 139.626i −0.0738402 + 0.206547i
\(27\) 495.872 534.371i 0.680208 0.733019i
\(28\) −120.862 + 147.435i −0.154161 + 0.188055i
\(29\) 614.153 1063.74i 0.730265 1.26486i −0.226505 0.974010i \(-0.572730\pi\)
0.956770 0.290846i \(-0.0939366\pi\)
\(30\) 329.402 + 221.838i 0.366003 + 0.246486i
\(31\) −1311.83 + 757.384i −1.36507 + 0.788121i −0.990293 0.138996i \(-0.955613\pi\)
−0.374773 + 0.927117i \(0.622279\pi\)
\(32\) −377.637 951.823i −0.368786 0.929514i
\(33\) −1378.68 + 1413.45i −1.26601 + 1.29793i
\(34\) 735.233 + 866.094i 0.636015 + 0.749216i
\(35\) 131.443i 0.107301i
\(36\) 796.416 1022.42i 0.614519 0.788902i
\(37\) −1521.29 −1.11124 −0.555622 0.831435i \(-0.687520\pi\)
−0.555622 + 0.831435i \(0.687520\pi\)
\(38\) −138.718 + 117.758i −0.0960648 + 0.0815501i
\(39\) −321.162 + 90.3555i −0.211152 + 0.0594053i
\(40\) 617.407 + 342.453i 0.385879 + 0.214033i
\(41\) 1316.97 + 2281.07i 0.783447 + 1.35697i 0.929923 + 0.367755i \(0.119874\pi\)
−0.146476 + 0.989214i \(0.546793\pi\)
\(42\) −427.923 29.6117i −0.242587 0.0167867i
\(43\) −34.6057 19.9796i −0.0187159 0.0108056i 0.490613 0.871378i \(-0.336773\pi\)
−0.509329 + 0.860572i \(0.670106\pi\)
\(44\) −2225.36 + 2714.63i −1.14946 + 1.40219i
\(45\) 22.2482 + 893.281i 0.0109868 + 0.441126i
\(46\) 758.153 + 271.038i 0.358295 + 0.128090i
\(47\) −2498.36 1442.43i −1.13099 0.652978i −0.186807 0.982397i \(-0.559814\pi\)
−0.944184 + 0.329419i \(0.893147\pi\)
\(48\) 1253.97 1932.87i 0.544259 0.838917i
\(49\) −1129.51 1956.38i −0.470435 0.814817i
\(50\) 1980.60 360.941i 0.792239 0.144376i
\(51\) −630.798 + 2477.13i −0.242521 + 0.952377i
\(52\) −554.991 + 209.230i −0.205248 + 0.0773780i
\(53\) 1415.13 0.503783 0.251892 0.967755i \(-0.418947\pi\)
0.251892 + 0.967755i \(0.418947\pi\)
\(54\) 2913.15 + 128.809i 0.999024 + 0.0441732i
\(55\) 2420.19i 0.800062i
\(56\) −762.458 + 13.1019i −0.243131 + 0.00417791i
\(57\) −396.749 101.032i −0.122114 0.0310962i
\(58\) 4833.61 880.870i 1.43686 0.261852i
\(59\) 2453.33 1416.43i 0.704778 0.406904i −0.104346 0.994541i \(-0.533275\pi\)
0.809125 + 0.587637i \(0.199942\pi\)
\(60\) 176.238 + 1578.74i 0.0489550 + 0.438539i
\(61\) 2628.64 4552.93i 0.706433 1.22358i −0.259739 0.965679i \(-0.583637\pi\)
0.966172 0.257899i \(-0.0830300\pi\)
\(62\) −5705.44 2039.68i −1.48425 0.530614i
\(63\) −503.226 823.552i −0.126789 0.207496i
\(64\) 1924.92 3615.51i 0.469950 0.882693i
\(65\) 204.471 354.154i 0.0483954 0.0838233i
\(66\) −7879.10 545.223i −1.80879 0.125166i
\(67\) 805.917 465.296i 0.179531 0.103653i −0.407541 0.913187i \(-0.633614\pi\)
0.587073 + 0.809534i \(0.300280\pi\)
\(68\) −737.801 + 4484.04i −0.159559 + 0.969732i
\(69\) 490.620 + 1743.87i 0.103050 + 0.366283i
\(70\) 400.823 340.261i 0.0818006 0.0694411i
\(71\) 1162.75i 0.230659i 0.993327 + 0.115329i \(0.0367923\pi\)
−0.993327 + 0.115329i \(0.963208\pi\)
\(72\) 5179.41 218.094i 0.999115 0.0420707i
\(73\) −2162.87 −0.405867 −0.202934 0.979192i \(-0.565048\pi\)
−0.202934 + 0.979192i \(0.565048\pi\)
\(74\) −3938.11 4639.03i −0.719158 0.847157i
\(75\) 3242.64 + 3162.88i 0.576469 + 0.562290i
\(76\) −718.185 118.170i −0.124339 0.0204587i
\(77\) 1307.02 + 2263.82i 0.220445 + 0.381822i
\(78\) −1106.91 745.454i −0.181938 0.122527i
\(79\) 6482.54 + 3742.70i 1.03870 + 0.599695i 0.919466 0.393171i \(-0.128622\pi\)
0.119237 + 0.992866i \(0.461955\pi\)
\(80\) 553.978 + 2769.22i 0.0865591 + 0.432690i
\(81\) 3559.29 + 5511.64i 0.542492 + 0.840061i
\(82\) −3546.69 + 9920.88i −0.527467 + 1.47544i
\(83\) −966.756 558.157i −0.140333 0.0810215i 0.428190 0.903689i \(-0.359152\pi\)
−0.568523 + 0.822667i \(0.692485\pi\)
\(84\) −1017.45 1381.56i −0.144196 0.195800i
\(85\) −1566.60 2713.43i −0.216830 0.375561i
\(86\) −28.6565 157.247i −0.00387459 0.0212611i
\(87\) 7913.60 + 7718.96i 1.04553 + 1.01981i
\(88\) −14038.7 + 241.238i −1.81285 + 0.0311516i
\(89\) −6739.71 −0.850866 −0.425433 0.904990i \(-0.639878\pi\)
−0.425433 + 0.904990i \(0.639878\pi\)
\(90\) −2666.38 + 2380.24i −0.329183 + 0.293857i
\(91\) 441.696i 0.0533385i
\(92\) 1136.10 + 3013.54i 0.134227 + 0.356042i
\(93\) −3692.13 13123.4i −0.426886 1.51734i
\(94\) −2068.85 11352.5i −0.234139 1.28480i
\(95\) 434.596 250.914i 0.0481546 0.0278021i
\(96\) 9140.19 1179.66i 0.991774 0.128002i
\(97\) −6023.28 + 10432.6i −0.640161 + 1.10879i 0.345235 + 0.938516i \(0.387799\pi\)
−0.985396 + 0.170276i \(0.945534\pi\)
\(98\) 3041.85 8508.73i 0.316727 0.885957i
\(99\) −9265.60 15163.6i −0.945373 1.54715i
\(100\) 6227.74 + 5105.28i 0.622774 + 0.510528i
\(101\) 4777.60 8275.04i 0.468346 0.811199i −0.530999 0.847372i \(-0.678183\pi\)
0.999346 + 0.0361728i \(0.0115167\pi\)
\(102\) −9186.70 + 4488.89i −0.882996 + 0.431458i
\(103\) −9962.26 + 5751.71i −0.939039 + 0.542154i −0.889659 0.456626i \(-0.849058\pi\)
−0.0493798 + 0.998780i \(0.515724\pi\)
\(104\) −2074.71 1150.77i −0.191819 0.106395i
\(105\) 1146.40 + 291.930i 0.103982 + 0.0264789i
\(106\) 3663.28 + 4315.29i 0.326031 + 0.384059i
\(107\) 6602.72i 0.576707i 0.957524 + 0.288353i \(0.0931078\pi\)
−0.957524 + 0.288353i \(0.906892\pi\)
\(108\) 7148.37 + 9216.82i 0.612857 + 0.790194i
\(109\) 12045.3 1.01383 0.506913 0.861997i \(-0.330786\pi\)
0.506913 + 0.861997i \(0.330786\pi\)
\(110\) 7380.12 6265.04i 0.609928 0.517772i
\(111\) 3378.73 13268.2i 0.274225 1.07688i
\(112\) −2013.70 2291.13i −0.160531 0.182647i
\(113\) −1865.35 3230.88i −0.146084 0.253025i 0.783693 0.621149i \(-0.213334\pi\)
−0.929777 + 0.368124i \(0.880000\pi\)
\(114\) −718.962 1471.38i −0.0553218 0.113218i
\(115\) −1923.01 1110.25i −0.145407 0.0839510i
\(116\) 15198.7 + 12459.4i 1.12951 + 0.925933i
\(117\) −74.7620 3001.74i −0.00546146 0.219281i
\(118\) 10670.1 + 3814.54i 0.766311 + 0.273954i
\(119\) 2930.77 + 1692.08i 0.206960 + 0.119489i
\(120\) −4358.00 + 4624.24i −0.302639 + 0.321128i
\(121\) 16744.9 + 29003.0i 1.14370 + 1.98094i
\(122\) 20688.4 3770.21i 1.38997 0.253307i
\(123\) −22819.6 + 6420.05i −1.50834 + 0.424354i
\(124\) −8549.63 22678.2i −0.556037 1.47491i
\(125\) −12447.0 −0.796607
\(126\) 1208.66 3666.43i 0.0761314 0.230942i
\(127\) 26549.7i 1.64608i −0.567980 0.823042i \(-0.692275\pi\)
0.567980 0.823042i \(-0.307725\pi\)
\(128\) 16008.1 3489.47i 0.977056 0.212981i
\(129\) 251.113 257.445i 0.0150900 0.0154706i
\(130\) 1609.26 293.269i 0.0952226 0.0173532i
\(131\) −1142.84 + 659.821i −0.0665954 + 0.0384489i −0.532928 0.846161i \(-0.678908\pi\)
0.466333 + 0.884609i \(0.345575\pi\)
\(132\) −18733.7 25437.9i −1.07517 1.45994i
\(133\) −271.011 + 469.405i −0.0153209 + 0.0265366i
\(134\) 3505.12 + 1253.07i 0.195206 + 0.0697856i
\(135\) −7840.31 1789.90i −0.430195 0.0982111i
\(136\) −15583.6 + 9357.79i −0.842537 + 0.505936i
\(137\) −12906.5 + 22354.7i −0.687648 + 1.19104i 0.284949 + 0.958543i \(0.408023\pi\)
−0.972597 + 0.232499i \(0.925310\pi\)
\(138\) −4047.73 + 6010.39i −0.212546 + 0.315605i
\(139\) −11377.8 + 6569.00i −0.588885 + 0.339993i −0.764656 0.644438i \(-0.777091\pi\)
0.175772 + 0.984431i \(0.443758\pi\)
\(140\) 2075.19 + 341.450i 0.105877 + 0.0174209i
\(141\) 18129.1 18586.3i 0.911881 0.934876i
\(142\) −3545.69 + 3009.96i −0.175843 + 0.149274i
\(143\) 8132.70i 0.397706i
\(144\) 14072.8 + 15229.5i 0.678664 + 0.734449i
\(145\) −13550.2 −0.644478
\(146\) −5598.92 6595.45i −0.262663 0.309413i
\(147\) 19571.5 5506.21i 0.905708 0.254811i
\(148\) 3951.86 24017.7i 0.180417 1.09650i
\(149\) −12968.2 22461.6i −0.584128 1.01174i −0.994984 0.100038i \(-0.968103\pi\)
0.410856 0.911700i \(-0.365230\pi\)
\(150\) −1250.82 + 18075.7i −0.0555919 + 0.803366i
\(151\) 24591.2 + 14197.8i 1.07852 + 0.622681i 0.930496 0.366303i \(-0.119377\pi\)
0.148020 + 0.988984i \(0.452710\pi\)
\(152\) −1498.79 2495.93i −0.0648714 0.108030i
\(153\) −20203.7 11003.2i −0.863076 0.470042i
\(154\) −3519.88 + 9845.88i −0.148418 + 0.415158i
\(155\) 14471.5 + 8355.15i 0.602353 + 0.347769i
\(156\) −592.223 5305.14i −0.0243353 0.217995i
\(157\) 2760.19 + 4780.78i 0.111980 + 0.193954i 0.916568 0.399878i \(-0.130948\pi\)
−0.804589 + 0.593832i \(0.797614\pi\)
\(158\) 5368.10 + 29456.4i 0.215033 + 1.17996i
\(159\) −3142.94 + 12342.3i −0.124320 + 0.488203i
\(160\) −7010.39 + 8857.86i −0.273844 + 0.346010i
\(161\) 2398.36 0.0925257
\(162\) −7593.42 + 25121.5i −0.289339 + 0.957227i
\(163\) 407.281i 0.0153292i 0.999971 + 0.00766459i \(0.00243974\pi\)
−0.999971 + 0.00766459i \(0.997560\pi\)
\(164\) −39433.9 + 14866.5i −1.46616 + 0.552739i
\(165\) 21108.1 + 5375.13i 0.775319 + 0.197434i
\(166\) −800.556 4392.91i −0.0290520 0.159417i
\(167\) −20561.9 + 11871.4i −0.737277 + 0.425667i −0.821078 0.570816i \(-0.806627\pi\)
0.0838016 + 0.996482i \(0.473294\pi\)
\(168\) 1579.12 6679.00i 0.0559494 0.236643i
\(169\) 13593.4 23544.5i 0.475943 0.824357i
\(170\) 4218.95 11801.3i 0.145984 0.408351i
\(171\) 1762.33 3235.92i 0.0602690 0.110664i
\(172\) 405.328 494.444i 0.0137009 0.0167132i
\(173\) 1413.25 2447.82i 0.0472200 0.0817874i −0.841449 0.540336i \(-0.818297\pi\)
0.888669 + 0.458549i \(0.151630\pi\)
\(174\) −3052.60 + 44113.5i −0.100826 + 1.45705i
\(175\) 5193.52 2998.48i 0.169584 0.0979095i
\(176\) −37077.0 42185.2i −1.19696 1.36187i
\(177\) 6904.89 + 24543.0i 0.220399 + 0.783395i
\(178\) −17446.8 20552.1i −0.550650 0.648658i
\(179\) 45743.4i 1.42765i −0.700323 0.713826i \(-0.746961\pi\)
0.700323 0.713826i \(-0.253039\pi\)
\(180\) −14160.7 1969.23i −0.437057 0.0607787i
\(181\) −24226.2 −0.739483 −0.369742 0.929135i \(-0.620554\pi\)
−0.369742 + 0.929135i \(0.620554\pi\)
\(182\) −1346.91 + 1143.40i −0.0406626 + 0.0345188i
\(183\) 33871.0 + 33037.9i 1.01141 + 0.986531i
\(184\) −6248.52 + 11265.4i −0.184562 + 0.332745i
\(185\) 8391.13 + 14533.9i 0.245176 + 0.424657i
\(186\) 30461.0 45230.9i 0.880476 1.30740i
\(187\) 53962.5 + 31155.3i 1.54315 + 0.890940i
\(188\) 29262.6 35696.4i 0.827938 1.00997i
\(189\) 8300.38 2559.89i 0.232367 0.0716634i
\(190\) 1890.16 + 675.726i 0.0523589 + 0.0187182i
\(191\) −19504.6 11261.0i −0.534651 0.308681i 0.208257 0.978074i \(-0.433221\pi\)
−0.742908 + 0.669393i \(0.766554\pi\)
\(192\) 27258.1 + 24818.4i 0.739423 + 0.673241i
\(193\) −9144.35 15838.5i −0.245493 0.425205i 0.716777 0.697302i \(-0.245616\pi\)
−0.962270 + 0.272097i \(0.912283\pi\)
\(194\) −47405.5 + 8639.10i −1.25958 + 0.229544i
\(195\) 2634.69 + 2569.88i 0.0692883 + 0.0675841i
\(196\) 33820.9 12750.4i 0.880385 0.331903i
\(197\) 36300.2 0.935356 0.467678 0.883899i \(-0.345091\pi\)
0.467678 + 0.883899i \(0.345091\pi\)
\(198\) 22254.4 67507.9i 0.567656 1.72196i
\(199\) 47336.5i 1.19533i −0.801744 0.597667i \(-0.796094\pi\)
0.801744 0.597667i \(-0.203906\pi\)
\(200\) 553.433 + 32206.7i 0.0138358 + 0.805168i
\(201\) 2268.25 + 8062.33i 0.0561434 + 0.199558i
\(202\) 37601.5 6852.44i 0.921515 0.167935i
\(203\) 12674.7 7317.73i 0.307571 0.177576i
\(204\) −37469.6 16393.7i −0.900366 0.393928i
\(205\) 14528.3 25163.8i 0.345706 0.598781i
\(206\) −43328.2 15489.7i −1.02102 0.365014i
\(207\) −16299.1 + 405.949i −0.380385 + 0.00947394i
\(208\) −1861.57 9305.56i −0.0430280 0.215088i
\(209\) −4989.97 + 8642.89i −0.114237 + 0.197864i
\(210\) 2077.43 + 4251.55i 0.0471073 + 0.0964070i
\(211\) −40261.7 + 23245.1i −0.904330 + 0.522115i −0.878602 0.477554i \(-0.841524\pi\)
−0.0257275 + 0.999669i \(0.508190\pi\)
\(212\) −3676.08 + 22341.6i −0.0817924 + 0.497099i
\(213\) −10141.1 2582.42i −0.223525 0.0569203i
\(214\) −20134.3 + 17092.2i −0.439653 + 0.373224i
\(215\) 440.814i 0.00953626i
\(216\) −9601.10 + 45657.4i −0.205785 + 0.978597i
\(217\) −18048.7 −0.383290
\(218\) 31181.1 + 36730.9i 0.656113 + 0.772891i
\(219\) 4803.64 18863.8i 0.100157 0.393315i
\(220\) 38209.2 + 6286.92i 0.789447 + 0.129895i
\(221\) 5264.34 + 9118.10i 0.107785 + 0.186689i
\(222\) 49206.4 24043.7i 0.998426 0.487861i
\(223\) −71531.9 41298.9i −1.43843 0.830480i −0.440693 0.897658i \(-0.645267\pi\)
−0.997741 + 0.0671780i \(0.978600\pi\)
\(224\) 1773.79 12071.5i 0.0353514 0.240583i
\(225\) −34787.3 + 21256.6i −0.687157 + 0.419883i
\(226\) 5023.49 14051.8i 0.0983533 0.275116i
\(227\) 25722.3 + 14850.8i 0.499182 + 0.288203i 0.728376 0.685178i \(-0.240276\pi\)
−0.229194 + 0.973381i \(0.573609\pi\)
\(228\) 2625.69 6001.31i 0.0505096 0.115445i
\(229\) −22667.9 39262.0i −0.432256 0.748690i 0.564811 0.825220i \(-0.308949\pi\)
−0.997067 + 0.0765307i \(0.975616\pi\)
\(230\) −1592.42 8738.10i −0.0301024 0.165182i
\(231\) −22647.1 + 6371.52i −0.424413 + 0.119404i
\(232\) 1350.64 + 78599.9i 0.0250937 + 1.46031i
\(233\) 50931.3 0.938151 0.469075 0.883158i \(-0.344587\pi\)
0.469075 + 0.883158i \(0.344587\pi\)
\(234\) 8959.99 7998.47i 0.163635 0.146075i
\(235\) 31824.5i 0.576270i
\(236\) 15989.2 + 42412.0i 0.287080 + 0.761491i
\(237\) −47040.0 + 48226.2i −0.837472 + 0.858590i
\(238\) 2426.92 + 13317.3i 0.0428452 + 0.235105i
\(239\) −31946.2 + 18444.1i −0.559272 + 0.322896i −0.752853 0.658188i \(-0.771323\pi\)
0.193581 + 0.981084i \(0.437990\pi\)
\(240\) −25382.5 1318.70i −0.440669 0.0228941i
\(241\) −4193.64 + 7263.59i −0.0722033 + 0.125060i −0.899867 0.436165i \(-0.856336\pi\)
0.827663 + 0.561225i \(0.189670\pi\)
\(242\) −45094.9 + 126141.i −0.770011 + 2.15389i
\(243\) −55975.7 + 18801.8i −0.947953 + 0.318410i
\(244\) 65052.0 + 53327.3i 1.09265 + 0.895715i
\(245\) −12460.3 + 21581.9i −0.207586 + 0.359549i
\(246\) −78649.5 52966.9i −1.29965 0.875254i
\(247\) −1460.40 + 843.160i −0.0239374 + 0.0138203i
\(248\) 47023.0 84777.4i 0.764551 1.37840i
\(249\) 7015.18 7192.08i 0.113146 0.115999i
\(250\) −32221.0 37955.8i −0.515536 0.607293i
\(251\) 1475.47i 0.0234198i −0.999931 0.0117099i \(-0.996273\pi\)
0.999931 0.0117099i \(-0.00372746\pi\)
\(252\) 14309.2 5805.44i 0.225328 0.0914185i
\(253\) 44159.6 0.689897
\(254\) 80960.7 68728.1i 1.25489 1.06529i
\(255\) 27145.0 7636.94i 0.417454 0.117446i
\(256\) 52080.3 + 39782.1i 0.794682 + 0.607026i
\(257\) −17336.5 30027.8i −0.262480 0.454629i 0.704420 0.709783i \(-0.251207\pi\)
−0.966900 + 0.255154i \(0.917874\pi\)
\(258\) 1435.10 + 99.3072i 0.0215597 + 0.00149191i
\(259\) −15698.0 9063.23i −0.234015 0.135109i
\(260\) 5060.12 + 4148.11i 0.0748539 + 0.0613626i
\(261\) −84897.9 + 51876.3i −1.24628 + 0.761531i
\(262\) −4970.49 1776.94i −0.0724097 0.0258863i
\(263\) −16482.5 9516.19i −0.238294 0.137579i 0.376099 0.926580i \(-0.377265\pi\)
−0.614392 + 0.789001i \(0.710599\pi\)
\(264\) 29075.4 122977.i 0.417174 1.76447i
\(265\) −7805.54 13519.6i −0.111151 0.192518i
\(266\) −2132.96 + 388.707i −0.0301453 + 0.00549363i
\(267\) 14968.6 58781.5i 0.209971 0.824552i
\(268\) 5252.43 + 13932.3i 0.0731292 + 0.193978i
\(269\) 58724.1 0.811544 0.405772 0.913974i \(-0.367003\pi\)
0.405772 + 0.913974i \(0.367003\pi\)
\(270\) −14837.8 28541.7i −0.203536 0.391518i
\(271\) 31474.1i 0.428563i 0.976772 + 0.214281i \(0.0687409\pi\)
−0.976772 + 0.214281i \(0.931259\pi\)
\(272\) −68876.2 23296.4i −0.930960 0.314884i
\(273\) −3852.32 980.988i −0.0516889 0.0131625i
\(274\) −101579. + 18511.6i −1.35301 + 0.246571i
\(275\) 95625.2 55209.2i 1.26447 0.730040i
\(276\) −28806.3 + 3215.70i −0.378154 + 0.0422141i
\(277\) −33265.8 + 57618.0i −0.433549 + 0.750929i −0.997176 0.0751008i \(-0.976072\pi\)
0.563627 + 0.826029i \(0.309405\pi\)
\(278\) −49484.8 17690.7i −0.640299 0.228905i
\(279\) 122658. 3054.95i 1.57575 0.0392460i
\(280\) 4330.73 + 7211.98i 0.0552389 + 0.0919895i
\(281\) 61859.9 107145.i 0.783424 1.35693i −0.146512 0.989209i \(-0.546805\pi\)
0.929936 0.367721i \(-0.119862\pi\)
\(282\) 103607. + 7169.48i 1.30284 + 0.0901549i
\(283\) −47401.9 + 27367.5i −0.591865 + 0.341713i −0.765835 0.643038i \(-0.777674\pi\)
0.173970 + 0.984751i \(0.444341\pi\)
\(284\) −18357.2 3020.48i −0.227598 0.0374489i
\(285\) 1223.17 + 4347.66i 0.0150590 + 0.0535262i
\(286\) −24799.9 + 21052.8i −0.303192 + 0.257381i
\(287\) 31383.9i 0.381016i
\(288\) −10011.3 + 82337.6i −0.120700 + 0.992689i
\(289\) −2853.15 −0.0341609
\(290\) −35076.7 41319.9i −0.417083 0.491318i
\(291\) −77612.4 75703.4i −0.916526 0.893983i
\(292\) 5618.48 34146.7i 0.0658951 0.400482i
\(293\) 44309.0 + 76745.4i 0.516127 + 0.893958i 0.999825 + 0.0187226i \(0.00595995\pi\)
−0.483698 + 0.875235i \(0.660707\pi\)
\(294\) 67454.4 + 45427.5i 0.780398 + 0.525562i
\(295\) −27064.1 15625.5i −0.310993 0.179552i
\(296\) 83469.8 50122.9i 0.952677 0.572075i
\(297\) 152830. 47133.8i 1.73259 0.534342i
\(298\) 34924.2 97690.7i 0.393273 1.10007i
\(299\) 6462.01 + 3730.84i 0.0722812 + 0.0417316i
\(300\) −58358.1 + 42977.6i −0.648423 + 0.477529i
\(301\) −238.061 412.333i −0.00262757 0.00455109i
\(302\) 20363.6 + 111742.i 0.223276 + 1.22518i
\(303\) 61561.3 + 60047.1i 0.670536 + 0.654044i
\(304\) 3731.26 11031.5i 0.0403746 0.119368i
\(305\) −57996.0 −0.623446
\(306\) −18747.3 90092.9i −0.200215 0.962161i
\(307\) 123447.i 1.30980i 0.755716 + 0.654900i \(0.227289\pi\)
−0.755716 + 0.654900i \(0.772711\pi\)
\(308\) −39135.8 + 14754.1i −0.412547 + 0.155529i
\(309\) −28038.7 99661.8i −0.293658 1.04379i
\(310\) 11983.7 + 65758.1i 0.124700 + 0.684268i
\(311\) −52431.9 + 30271.6i −0.542094 + 0.312978i −0.745927 0.666027i \(-0.767993\pi\)
0.203833 + 0.979006i \(0.434660\pi\)
\(312\) 14644.4 15539.1i 0.150440 0.159631i
\(313\) 26193.1 45367.8i 0.267361 0.463083i −0.700818 0.713340i \(-0.747182\pi\)
0.968180 + 0.250257i \(0.0805150\pi\)
\(314\) −7433.35 + 20792.7i −0.0753920 + 0.210888i
\(315\) −5092.22 + 9350.17i −0.0513200 + 0.0942320i
\(316\) −75928.4 + 92622.1i −0.760378 + 0.927557i
\(317\) 12998.7 22514.4i 0.129354 0.224048i −0.794072 0.607823i \(-0.792043\pi\)
0.923427 + 0.383775i \(0.125376\pi\)
\(318\) −45772.5 + 22365.8i −0.452637 + 0.221172i
\(319\) 233372. 134737.i 2.29333 1.32406i
\(320\) −45158.7 + 1552.45i −0.441003 + 0.0151607i
\(321\) −57586.7 14664.4i −0.558871 0.142316i
\(322\) 6208.53 + 7313.56i 0.0598794 + 0.0705370i
\(323\) 12920.1i 0.123840i
\(324\) −96262.2 + 41875.5i −0.916992 + 0.398905i
\(325\) 18657.5 0.176639
\(326\) −1241.96 + 1054.31i −0.0116862 + 0.00992050i
\(327\) −26752.0 + 105055.i −0.250185 + 0.982472i
\(328\) −147415. 81765.6i −1.37023 0.760017i
\(329\) −17186.8 29768.4i −0.158783 0.275019i
\(330\) 38250.6 + 78281.3i 0.351245 + 0.718837i
\(331\) 37439.2 + 21615.5i 0.341720 + 0.197292i 0.661032 0.750357i \(-0.270119\pi\)
−0.319312 + 0.947650i \(0.603452\pi\)
\(332\) 11323.4 13812.9i 0.102731 0.125317i
\(333\) 108217. + 58936.2i 0.975901 + 0.531488i
\(334\) −89428.5 31970.5i −0.801647 0.286587i
\(335\) −8890.54 5132.95i −0.0792206 0.0457381i
\(336\) 24454.8 12474.3i 0.216613 0.110494i
\(337\) −5926.38 10264.8i −0.0521831 0.0903837i 0.838754 0.544511i \(-0.183285\pi\)
−0.890937 + 0.454127i \(0.849951\pi\)
\(338\) 106985. 19496.8i 0.936462 0.170659i
\(339\) 32321.5 9093.29i 0.281249 0.0791264i
\(340\) 46908.4 17684.3i 0.405782 0.152979i
\(341\) −332321. −2.85791
\(342\) 14429.7 3002.66i 0.123369 0.0256717i
\(343\) 55525.0i 0.471955i
\(344\) 2557.01 43.9392i 0.0216081 0.000371309i
\(345\) 13954.2 14306.0i 0.117237 0.120194i
\(346\) 11122.8 2027.00i 0.0929098 0.0169317i
\(347\) 25222.5 14562.2i 0.209473 0.120940i −0.391593 0.920138i \(-0.628076\pi\)
0.601067 + 0.799199i \(0.294743\pi\)
\(348\) −142422. + 104886.i −1.17603 + 0.866083i
\(349\) −59988.4 + 103903.i −0.492512 + 0.853055i −0.999963 0.00862528i \(-0.997254\pi\)
0.507451 + 0.861681i \(0.330588\pi\)
\(350\) 22587.8 + 8075.08i 0.184390 + 0.0659191i
\(351\) 26346.2 + 6014.70i 0.213848 + 0.0488202i
\(352\) 32659.8 222266.i 0.263589 1.79385i
\(353\) −77379.0 + 134024.i −0.620975 + 1.07556i 0.368330 + 0.929695i \(0.379930\pi\)
−0.989305 + 0.145865i \(0.953404\pi\)
\(354\) −56967.0 + 84589.1i −0.454587 + 0.675007i
\(355\) 11108.5 6413.49i 0.0881451 0.0508906i
\(356\) 17507.8 106405.i 0.138144 0.839577i
\(357\) −21266.8 + 21803.1i −0.166866 + 0.171073i
\(358\) 139490. 118414.i 1.08837 0.923925i
\(359\) 66839.6i 0.518615i 0.965795 + 0.259307i \(0.0834942\pi\)
−0.965795 + 0.259307i \(0.916506\pi\)
\(360\) −30652.1 48279.2i −0.236513 0.372525i
\(361\) 128252. 0.984121
\(362\) −62713.4 73875.4i −0.478567 0.563745i
\(363\) −290144. + 81628.7i −2.20191 + 0.619483i
\(364\) −6973.37 1147.39i −0.0526308 0.00865984i
\(365\) 11929.9 + 20663.2i 0.0895472 + 0.155100i
\(366\) −13065.4 + 188810.i −0.0975352 + 1.40949i
\(367\) −81901.3 47285.7i −0.608077 0.351073i 0.164136 0.986438i \(-0.447517\pi\)
−0.772212 + 0.635364i \(0.780850\pi\)
\(368\) −50528.1 + 10108.1i −0.373110 + 0.0746403i
\(369\) −5312.08 213284.i −0.0390132 1.56641i
\(370\) −22597.8 + 63211.2i −0.165068 + 0.461732i
\(371\) 14602.5 + 8430.74i 0.106091 + 0.0612517i
\(372\) 216780. 24199.6i 1.56651 0.174873i
\(373\) 90530.4 + 156803.i 0.650694 + 1.12704i 0.982955 + 0.183848i \(0.0588554\pi\)
−0.332260 + 0.943188i \(0.607811\pi\)
\(374\) 44685.5 + 245204.i 0.319465 + 1.75301i
\(375\) 27644.2 108558.i 0.196581 0.771970i
\(376\) 184604. 3172.19i 1.30576 0.0224379i
\(377\) 45533.4 0.320366
\(378\) 29293.0 + 18684.5i 0.205012 + 0.130767i
\(379\) 51191.3i 0.356384i −0.983996 0.178192i \(-0.942975\pi\)
0.983996 0.178192i \(-0.0570248\pi\)
\(380\) 2832.41 + 7513.07i 0.0196150 + 0.0520296i
\(381\) 231557. + 58965.7i 1.59518 + 0.406209i
\(382\) −16151.5 88628.2i −0.110684 0.607359i
\(383\) −132128. + 76284.0i −0.900734 + 0.520039i −0.877438 0.479690i \(-0.840749\pi\)
−0.0232957 + 0.999729i \(0.507416\pi\)
\(384\) −5119.29 + 147367.i −0.0347174 + 0.999397i
\(385\) 14418.5 24973.5i 0.0972742 0.168484i
\(386\) 24626.3 68885.2i 0.165282 0.462329i
\(387\) 1687.64 + 2761.90i 0.0112683 + 0.0184411i
\(388\) −149061. 122195.i −0.990147 0.811687i
\(389\) −33948.4 + 58800.3i −0.224347 + 0.388580i −0.956123 0.292965i \(-0.905358\pi\)
0.731776 + 0.681545i \(0.238692\pi\)
\(390\) −1016.31 + 14686.8i −0.00668183 + 0.0965600i
\(391\) 49510.2 28584.7i 0.323848 0.186974i
\(392\) 126432. + 70127.0i 0.822780 + 0.456366i
\(393\) −3216.53 11432.9i −0.0208258 0.0740240i
\(394\) 93968.9 + 110694.i 0.605329 + 0.713069i
\(395\) 82575.7i 0.529247i
\(396\) 263468. 106892.i 1.68011 0.681641i
\(397\) −126087. −0.799998 −0.399999 0.916516i \(-0.630990\pi\)
−0.399999 + 0.916516i \(0.630990\pi\)
\(398\) 144348. 122538.i 0.911264 0.773578i
\(399\) −3492.09 3406.20i −0.0219351 0.0213956i
\(400\) −96778.6 + 85059.8i −0.604866 + 0.531624i
\(401\) −35445.4 61393.2i −0.220430 0.381796i 0.734509 0.678599i \(-0.237413\pi\)
−0.954939 + 0.296803i \(0.904079\pi\)
\(402\) −18713.6 + 27787.4i −0.115799 + 0.171948i
\(403\) −48629.5 28076.3i −0.299426 0.172874i
\(404\) 118233. + 96923.5i 0.724398 + 0.593836i
\(405\) 33023.9 64405.2i 0.201334 0.392655i
\(406\) 55125.1 + 19707.1i 0.334424 + 0.119556i
\(407\) −289038. 166876.i −1.74488 1.00741i
\(408\) −47005.1 156698.i −0.282374 0.941331i
\(409\) −21772.1 37710.4i −0.130153 0.225432i 0.793582 0.608463i \(-0.208214\pi\)
−0.923735 + 0.383031i \(0.874880\pi\)
\(410\) 114343. 20837.7i 0.680209 0.123960i
\(411\) −166305. 162215.i −0.984513 0.960298i
\(412\) −64927.4 172223.i −0.382502 1.01460i
\(413\) 33754.1 0.197891
\(414\) −43430.8 48651.7i −0.253394 0.283856i
\(415\) 12314.7i 0.0715036i
\(416\) 23557.4 29765.6i 0.136126 0.172000i
\(417\) −32022.9 113823.i −0.184157 0.654573i
\(418\) −39273.0 + 7157.04i −0.224771 + 0.0409620i
\(419\) 182385. 105300.i 1.03887 0.599792i 0.119357 0.992851i \(-0.461917\pi\)
0.919513 + 0.393060i \(0.128583\pi\)
\(420\) −7586.91 + 17340.7i −0.0430097 + 0.0983035i
\(421\) −42063.0 + 72855.3i −0.237321 + 0.411052i −0.959945 0.280190i \(-0.909603\pi\)
0.722624 + 0.691242i \(0.242936\pi\)
\(422\) −175107. 62600.4i −0.983285 0.351522i
\(423\) 121839. + 199395.i 0.680935 + 1.11438i
\(424\) −77644.7 + 46625.0i −0.431897 + 0.259350i
\(425\) 71474.4 123797.i 0.395706 0.685383i
\(426\) −18377.0 37609.3i −0.101264 0.207241i
\(427\) 54249.0 31320.7i 0.297533 0.171781i
\(428\) −104242. 17151.9i −0.569055 0.0936320i
\(429\) −70930.6 18062.4i −0.385407 0.0981432i
\(430\) −1344.22 + 1141.12i −0.00726997 + 0.00617153i
\(431\) 150083.i 0.807933i 0.914774 + 0.403967i \(0.132369\pi\)
−0.914774 + 0.403967i \(0.867631\pi\)
\(432\) −164082. + 88913.9i −0.879211 + 0.476433i
\(433\) 71221.5 0.379871 0.189935 0.981797i \(-0.439172\pi\)
0.189935 + 0.981797i \(0.439172\pi\)
\(434\) −46722.0 55037.8i −0.248051 0.292201i
\(435\) 30094.3 118180.i 0.159040 0.624546i
\(436\) −31290.0 + 190167.i −0.164601 + 1.00038i
\(437\) 4578.26 + 7929.78i 0.0239739 + 0.0415239i
\(438\) 69958.3 34183.7i 0.364662 0.178185i
\(439\) −94609.3 54622.7i −0.490913 0.283429i 0.234040 0.972227i \(-0.424805\pi\)
−0.724953 + 0.688798i \(0.758139\pi\)
\(440\) 79739.3 + 132790.i 0.411876 + 0.685899i
\(441\) 4555.95 + 182925.i 0.0234262 + 0.940578i
\(442\) −14177.2 + 39656.7i −0.0725680 + 0.202989i
\(443\) 199756. + 115329.i 1.01787 + 0.587666i 0.913486 0.406871i \(-0.133380\pi\)
0.104382 + 0.994537i \(0.466713\pi\)
\(444\) 200698. + 87809.2i 1.01807 + 0.445424i
\(445\) 37174.8 + 64388.7i 0.187728 + 0.325154i
\(446\) −59234.5 325038.i −0.297786 1.63405i
\(447\) 224704. 63218.1i 1.12460 0.316393i
\(448\) 41402.6 25840.0i 0.206287 0.128747i
\(449\) −9751.64 −0.0483710 −0.0241855 0.999707i \(-0.507699\pi\)
−0.0241855 + 0.999707i \(0.507699\pi\)
\(450\) −154872. 51054.6i −0.764802 0.252122i
\(451\) 577854.i 2.84096i
\(452\) 55853.8 21056.7i 0.273386 0.103066i
\(453\) −178444. + 182944.i −0.869573 + 0.891500i
\(454\) 21300.3 + 116881.i 0.103341 + 0.567066i
\(455\) 4219.80 2436.30i 0.0203831 0.0117682i
\(456\) 25097.4 7528.55i 0.120698 0.0362061i
\(457\) −33069.5 + 57278.1i −0.158342 + 0.274256i −0.934271 0.356564i \(-0.883948\pi\)
0.775929 + 0.630820i \(0.217281\pi\)
\(458\) 61046.1 170760.i 0.291023 0.814056i
\(459\) 140838. 151772.i 0.668489 0.720390i
\(460\) 22523.8 27475.9i 0.106445 0.129848i
\(461\) 86994.6 150679.i 0.409346 0.709008i −0.585471 0.810694i \(-0.699090\pi\)
0.994817 + 0.101686i \(0.0324236\pi\)
\(462\) −78054.9 52566.5i −0.365693 0.246278i
\(463\) −150682. + 86996.3i −0.702909 + 0.405825i −0.808430 0.588592i \(-0.799682\pi\)
0.105521 + 0.994417i \(0.466349\pi\)
\(464\) −236186. + 207587.i −1.09703 + 0.964194i
\(465\) −105011. + 107659.i −0.485658 + 0.497905i
\(466\) 131844. + 155310.i 0.607138 + 0.715200i
\(467\) 172090.i 0.789080i 0.918879 + 0.394540i \(0.129096\pi\)
−0.918879 + 0.394540i \(0.870904\pi\)
\(468\) 47584.9 + 6617.31i 0.217259 + 0.0302127i
\(469\) 11088.2 0.0504097
\(470\) −97045.8 + 82382.8i −0.439320 + 0.372942i
\(471\) −47826.6 + 13455.5i −0.215590 + 0.0606538i
\(472\) −87940.6 + 158548.i −0.394735 + 0.711665i
\(473\) −4383.27 7592.05i −0.0195919 0.0339341i
\(474\) −268831. 18602.8i −1.19653 0.0827983i
\(475\) 19828.0 + 11447.7i 0.0878802 + 0.0507376i
\(476\) −34327.3 + 41874.6i −0.151505 + 0.184815i
\(477\) −100665. 54823.3i −0.442426 0.240951i
\(478\) −138941. 49671.2i −0.608101 0.217395i
\(479\) 189138. + 109199.i 0.824343 + 0.475935i 0.851912 0.523685i \(-0.175443\pi\)
−0.0275690 + 0.999620i \(0.508777\pi\)
\(480\) −61685.4 80815.2i −0.267732 0.350760i
\(481\) −28197.2 48839.0i −0.121875 0.211094i
\(482\) −33005.5 + 6014.87i −0.142067 + 0.0258900i
\(483\) −5326.65 + 20917.7i −0.0228328 + 0.0896642i
\(484\) −501389. + 189022.i −2.14034 + 0.806904i
\(485\) 132893. 0.564959
\(486\) −202236. 122021.i −0.856222 0.516609i
\(487\) 392112.i 1.65330i −0.562716 0.826650i \(-0.690243\pi\)
0.562716 0.826650i \(-0.309757\pi\)
\(488\) 5780.89 + 336416.i 0.0242748 + 1.41266i
\(489\) −3552.17 904.554i −0.0148551 0.00378283i
\(490\) −98067.5 + 17871.7i −0.408444 + 0.0744343i
\(491\) 181620. 104859.i 0.753358 0.434951i −0.0735480 0.997292i \(-0.523432\pi\)
0.826906 + 0.562340i \(0.190099\pi\)
\(492\) −42079.3 376947.i −0.173836 1.55722i
\(493\) 174432. 302125.i 0.717683 1.24306i
\(494\) −6351.60 2270.68i −0.0260273 0.00930470i
\(495\) −93760.2 + 172159.i −0.382655 + 0.702619i
\(496\) 380247. 76067.9i 1.54562 0.309199i
\(497\) −6927.19 + 11998.2i −0.0280443 + 0.0485741i
\(498\) 40091.4 + 2774.28i 0.161656 + 0.0111864i
\(499\) 117681. 67943.0i 0.472611 0.272862i −0.244721 0.969594i \(-0.578696\pi\)
0.717332 + 0.696731i \(0.245363\pi\)
\(500\) 32333.5 196509.i 0.129334 0.786037i
\(501\) −57871.4 205700.i −0.230562 0.819518i
\(502\) 4499.29 3819.48i 0.0178541 0.0151564i
\(503\) 232332.i 0.918275i −0.888365 0.459137i \(-0.848159\pi\)
0.888365 0.459137i \(-0.151841\pi\)
\(504\) 54744.8 + 28606.3i 0.215517 + 0.112616i
\(505\) −105409. −0.413328
\(506\) 114314. + 134660.i 0.446477 + 0.525943i
\(507\) 175156. + 170848.i 0.681413 + 0.664653i
\(508\) 419159. + 68968.2i 1.62424 + 0.267252i
\(509\) 72659.4 + 125850.i 0.280451 + 0.485755i 0.971496 0.237057i \(-0.0761827\pi\)
−0.691045 + 0.722812i \(0.742849\pi\)
\(510\) 93557.1 + 63006.5i 0.359697 + 0.242239i
\(511\) −22318.3 12885.5i −0.0854711 0.0493467i
\(512\) 13506.6 + 261796.i 0.0515234 + 0.998672i
\(513\) 24308.6 + 22557.3i 0.0923687 + 0.0857140i
\(514\) 46688.3 130598.i 0.176719 0.494321i
\(515\) 109899. + 63450.5i 0.414363 + 0.239233i
\(516\) 3412.16 + 4633.27i 0.0128153 + 0.0174016i
\(517\) −316450. 548108.i −1.18393 2.05062i
\(518\) −12999.3 71331.1i −0.0484461 0.265839i
\(519\) 18210.3 + 17762.4i 0.0676054 + 0.0659426i
\(520\) 449.672 + 26168.4i 0.00166299 + 0.0967766i
\(521\) 443088. 1.63235 0.816177 0.577803i \(-0.196090\pi\)
0.816177 + 0.577803i \(0.196090\pi\)
\(522\) −377963. 124598.i −1.38710 0.457267i
\(523\) 73202.4i 0.267622i 0.991007 + 0.133811i \(0.0427215\pi\)
−0.991007 + 0.133811i \(0.957278\pi\)
\(524\) −7448.30 19756.9i −0.0271266 0.0719543i
\(525\) 14617.1 + 51955.6i 0.0530327 + 0.188501i
\(526\) −13648.9 74896.0i −0.0493318 0.270699i
\(527\) −372587. + 215113.i −1.34155 + 0.774543i
\(528\) 450271. 229682.i 1.61513 0.823870i
\(529\) −119662. + 207261.i −0.427609 + 0.740640i
\(530\) 21020.8 58799.9i 0.0748338 0.209327i
\(531\) −229391. + 5713.25i −0.813555 + 0.0202626i
\(532\) −6706.83 5498.02i −0.0236970 0.0194260i
\(533\) −48820.3 + 84559.2i −0.171849 + 0.297651i
\(534\) 217997. 106520.i 0.764483 0.373549i
\(535\) 63079.9 36419.2i 0.220386 0.127240i
\(536\) −28888.4 + 52082.7i −0.100553 + 0.181286i
\(537\) 398958. + 101594.i 1.38350 + 0.352306i
\(538\) 152017. + 179073.i 0.525202 + 0.618681i
\(539\) 495602.i 1.70591i
\(540\) 48625.2 119131.i 0.166753 0.408542i
\(541\) 438165. 1.49707 0.748536 0.663094i \(-0.230757\pi\)
0.748536 + 0.663094i \(0.230757\pi\)
\(542\) −95977.1 + 81475.6i −0.326715 + 0.277351i
\(543\) 53805.4 211293.i 0.182485 0.716613i
\(544\) −107257. 270337.i −0.362432 0.913500i
\(545\) −66439.2 115076.i −0.223682 0.387429i
\(546\) −6980.92 14286.7i −0.0234168 0.0479234i
\(547\) −270221. 156012.i −0.903118 0.521416i −0.0249077 0.999690i \(-0.507929\pi\)
−0.878211 + 0.478274i \(0.841263\pi\)
\(548\) −319402. 261834.i −1.06359 0.871898i
\(549\) −363372. + 222036.i −1.20561 + 0.736679i
\(550\) 415896. + 148682.i 1.37486 + 0.491510i
\(551\) 48389.8 + 27937.9i 0.159386 + 0.0920217i
\(552\) −84375.5 79517.5i −0.276910 0.260967i
\(553\) 44594.9 + 77240.6i 0.145826 + 0.252578i
\(554\) −261814. + 47712.6i −0.853048 + 0.155458i
\(555\) −145396. + 40905.5i −0.472026 + 0.132799i
\(556\) −74153.2 196694.i −0.239873 0.636271i
\(557\) 312549. 1.00741 0.503707 0.863874i \(-0.331969\pi\)
0.503707 + 0.863874i \(0.331969\pi\)
\(558\) 326836. + 366126.i 1.04969 + 1.17588i
\(559\) 1481.29i 0.00474042i
\(560\) −10781.4 + 31875.5i −0.0343796 + 0.101644i
\(561\) −391574. + 401448.i −1.24419 + 1.27557i
\(562\) 486861. 88724.8i 1.54146 0.280913i
\(563\) −74780.6 + 43174.6i −0.235924 + 0.136211i −0.613302 0.789849i \(-0.710159\pi\)
0.377378 + 0.926059i \(0.376826\pi\)
\(564\) 246341. + 334499.i 0.774422 + 1.05157i
\(565\) −20577.7 + 35641.7i −0.0644615 + 0.111651i
\(566\) −206162. 73702.3i −0.643539 0.230064i
\(567\) 3891.69 + 78078.5i 0.0121052 + 0.242865i
\(568\) −38309.8 63797.4i −0.118744 0.197745i
\(569\) −277479. + 480608.i −0.857049 + 1.48445i 0.0176822 + 0.999844i \(0.494371\pi\)
−0.874731 + 0.484609i \(0.838962\pi\)
\(570\) −10091.4 + 14984.5i −0.0310601 + 0.0461205i
\(571\) −262848. + 151755.i −0.806181 + 0.465449i −0.845628 0.533773i \(-0.820774\pi\)
0.0394467 + 0.999222i \(0.487440\pi\)
\(572\) −128397. 21126.3i −0.392430 0.0645701i
\(573\) 141533. 145102.i 0.431072 0.441942i
\(574\) −95702.2 + 81242.3i −0.290468 + 0.246580i
\(575\) 101308.i 0.306414i
\(576\) −276996. + 182615.i −0.834890 + 0.550417i
\(577\) −500884. −1.50448 −0.752238 0.658892i \(-0.771026\pi\)
−0.752238 + 0.658892i \(0.771026\pi\)
\(578\) −7385.83 8700.40i −0.0221077 0.0260426i
\(579\) 158447. 44577.3i 0.472636 0.132971i
\(580\) 35199.2 213926.i 0.104635 0.635927i
\(581\) −6650.54 11519.1i −0.0197017 0.0341244i
\(582\) 29938.2 432641.i 0.0883853 1.27727i
\(583\) 268867. + 155230.i 0.791043 + 0.456709i
\(584\) 118671. 71261.2i 0.347953 0.208943i
\(585\) −28265.2 + 17271.2i −0.0825924 + 0.0504675i
\(586\) −119327. + 333783.i −0.347490 + 0.972007i
\(587\) −498580. 287855.i −1.44697 0.835406i −0.448666 0.893699i \(-0.648101\pi\)
−0.998300 + 0.0582932i \(0.981434\pi\)
\(588\) 36089.7 + 323292.i 0.104383 + 0.935062i
\(589\) −34453.5 59675.2i −0.0993122 0.172014i
\(590\) −22411.4 122978.i −0.0643821 0.353285i
\(591\) −80621.3 + 316598.i −0.230821 + 0.906429i
\(592\) 368919. + 124782.i 1.05266 + 0.356048i
\(593\) −138143. −0.392843 −0.196421 0.980520i \(-0.562932\pi\)
−0.196421 + 0.980520i \(0.562932\pi\)
\(594\) 539355. + 344027.i 1.52863 + 0.975035i
\(595\) 37332.6i 0.105452i
\(596\) 388305. 146390.i 1.09315 0.412115i
\(597\) 412852. + 105132.i 1.15837 + 0.294976i
\(598\) 5351.10 + 29363.2i 0.0149637 + 0.0821108i
\(599\) −165665. + 95646.9i −0.461719 + 0.266574i −0.712767 0.701401i \(-0.752558\pi\)
0.251048 + 0.967975i \(0.419225\pi\)
\(600\) −282125. 66702.9i −0.783681 0.185286i
\(601\) 203120. 351814.i 0.562346 0.974012i −0.434945 0.900457i \(-0.643232\pi\)
0.997291 0.0735551i \(-0.0234345\pi\)
\(602\) 641.112 1793.33i 0.00176905 0.00494843i
\(603\) −75354.6 + 1876.80i −0.207241 + 0.00516158i
\(604\) −288031. + 351358.i −0.789524 + 0.963110i
\(605\) 184722. 319948.i 0.504671 0.874117i
\(606\) −23746.7 + 343167.i −0.0646633 + 0.934458i
\(607\) 59466.9 34333.2i 0.161398 0.0931831i −0.417126 0.908849i \(-0.636962\pi\)
0.578523 + 0.815666i \(0.303629\pi\)
\(608\) 43298.5 17178.7i 0.117129 0.0464712i
\(609\) 35672.9 + 126797.i 0.0961841 + 0.341880i
\(610\) −150132. 176853.i −0.403472 0.475284i
\(611\) 106942.i 0.286461i
\(612\) 226199. 290388.i 0.603931 0.775310i
\(613\) −572114. −1.52252 −0.761258 0.648450i \(-0.775418\pi\)
−0.761258 + 0.648450i \(0.775418\pi\)
\(614\) −376440. + 319563.i −0.998526 + 0.847655i
\(615\) 187203. + 182599.i 0.494951 + 0.482778i
\(616\) −146300. 81147.5i −0.385553 0.213852i
\(617\) −10190.4 17650.3i −0.0267684 0.0463642i 0.852331 0.523003i \(-0.175188\pi\)
−0.879099 + 0.476639i \(0.841855\pi\)
\(618\) 231326. 343492.i 0.605686 0.899371i
\(619\) 388604. + 224361.i 1.01421 + 0.585552i 0.912420 0.409254i \(-0.134211\pi\)
0.101786 + 0.994806i \(0.467544\pi\)
\(620\) −169501. + 206768.i −0.440951 + 0.537899i
\(621\) 32659.1 143057.i 0.0846878 0.370959i
\(622\) −228038. 81523.2i −0.589423 0.210717i
\(623\) −69546.0 40152.4i −0.179183 0.103451i
\(624\) 85294.4 + 4431.31i 0.219054 + 0.0113806i
\(625\) −88627.6 153508.i −0.226887 0.392979i
\(626\) 206150. 37568.4i 0.526058 0.0958680i
\(627\) −64297.8 62716.3i −0.163554 0.159531i
\(628\) −82647.8 + 31158.0i −0.209562 + 0.0790042i
\(629\) −432079. −1.09210
\(630\) −41694.5 + 8676.16i −0.105050 + 0.0218598i
\(631\) 402529.i 1.01097i −0.862835 0.505486i \(-0.831313\pi\)
0.862835 0.505486i \(-0.168687\pi\)
\(632\) −478995. + 8230.94i −1.19921 + 0.0206070i
\(633\) −113316. 402775.i −0.282804 1.00521i
\(634\) 102304. 18643.8i 0.254517 0.0463827i
\(635\) −253646. + 146443.i −0.629043 + 0.363178i
\(636\) −186692. 81681.3i −0.461541 0.201933i
\(637\) 41871.2 72523.0i 0.103190 0.178730i
\(638\) 1.01499e6 + 362856.i 2.49356 + 0.891441i
\(639\) 45046.0 82711.9i 0.110320 0.202566i
\(640\) −121634. 133688.i −0.296959 0.326387i
\(641\) −176906. + 306411.i −0.430554 + 0.745741i −0.996921 0.0784117i \(-0.975015\pi\)
0.566367 + 0.824153i \(0.308348\pi\)
\(642\) −104355. 213566.i −0.253187 0.518157i
\(643\) −227886. + 131570.i −0.551184 + 0.318226i −0.749599 0.661892i \(-0.769754\pi\)
0.198415 + 0.980118i \(0.436420\pi\)
\(644\) −6230.22 + 37864.6i −0.0150221 + 0.0912981i
\(645\) −3844.63 979.028i −0.00924134 0.00235329i
\(646\) −39398.7 + 33445.8i −0.0944097 + 0.0801451i
\(647\) 265174.i 0.633464i 0.948515 + 0.316732i \(0.102586\pi\)
−0.948515 + 0.316732i \(0.897414\pi\)
\(648\) −376885. 185141.i −0.897550 0.440912i
\(649\) 621494. 1.47553
\(650\) 48297.9 + 56894.3i 0.114315 + 0.134661i
\(651\) 40085.5 157415.i 0.0945856 0.371436i
\(652\) −6430.04 1057.99i −0.0151258 0.00248879i
\(653\) 2938.96 + 5090.43i 0.00689235 + 0.0119379i 0.869451 0.494019i \(-0.164473\pi\)
−0.862559 + 0.505957i \(0.831139\pi\)
\(654\) −389606. + 190373.i −0.910899 + 0.445092i
\(655\) 12607.4 + 7278.87i 0.0293861 + 0.0169661i
\(656\) −132270. 661190.i −0.307365 1.53645i
\(657\) 153855. + 83791.4i 0.356435 + 0.194119i
\(658\) 46285.0 129470.i 0.106903 0.299031i
\(659\) 480334. + 277321.i 1.10604 + 0.638575i 0.937802 0.347171i \(-0.112858\pi\)
0.168242 + 0.985746i \(0.446191\pi\)
\(660\) −139693. + 319285.i −0.320692 + 0.732977i
\(661\) 410614. + 711204.i 0.939789 + 1.62776i 0.765863 + 0.643004i \(0.222312\pi\)
0.173926 + 0.984759i \(0.444355\pi\)
\(662\) 31002.8 + 170122.i 0.0707433 + 0.388191i
\(663\) −91216.8 + 25662.8i −0.207514 + 0.0583818i
\(664\) 71433.6 1227.50i 0.162019 0.00278410i
\(665\) 5979.36 0.0135211
\(666\) 100416. + 482562.i 0.226388 + 1.08794i
\(667\) 247241.i 0.555736i
\(668\) −134009. 355464.i −0.300318 0.796604i
\(669\) 519065. 532153.i 1.15976 1.18901i
\(670\) −7362.12 40398.3i −0.0164004 0.0899939i
\(671\) 998855. 576689.i 2.21849 1.28085i
\(672\) 101344. + 42280.7i 0.224419 + 0.0936276i
\(673\) −258432. + 447618.i −0.570580 + 0.988274i 0.425926 + 0.904758i \(0.359948\pi\)
−0.996506 + 0.0835158i \(0.973385\pi\)
\(674\) 15960.1 44643.9i 0.0351330 0.0982749i
\(675\) −108131. 350613.i −0.237325 0.769522i
\(676\) 336402. + 275770.i 0.736148 + 0.603468i
\(677\) 345343. 598152.i 0.753483 1.30507i −0.192642 0.981269i \(-0.561706\pi\)
0.946125 0.323801i \(-0.104961\pi\)
\(678\) 111398. + 75021.7i 0.242337 + 0.163203i
\(679\) −124307. + 71768.4i −0.269621 + 0.155666i
\(680\) 175357. + 97263.9i 0.379231 + 0.210346i
\(681\) −186652. + 191358.i −0.402474 + 0.412623i
\(682\) −860265. 1.01338e6i −1.84954 2.17873i
\(683\) 764551.i 1.63895i 0.573117 + 0.819474i \(0.305734\pi\)
−0.573117 + 0.819474i \(0.694266\pi\)
\(684\) 46509.9 + 36229.1i 0.0994106 + 0.0774364i
\(685\) 284757. 0.606868
\(686\) 169318. 143735.i 0.359795 0.305433i
\(687\) 392775. 110503.i 0.832204 0.234131i
\(688\) 6753.22 + 7683.62i 0.0142671 + 0.0162326i
\(689\) 26229.4 + 45430.7i 0.0552523 + 0.0956998i
\(690\) 79747.4 + 5518.42i 0.167501 + 0.0115909i
\(691\) 278107. + 160565.i 0.582445 + 0.336275i 0.762105 0.647454i \(-0.224166\pi\)
−0.179659 + 0.983729i \(0.557500\pi\)
\(692\) 34974.2 + 28670.6i 0.0730358 + 0.0598722i
\(693\) −5271.92 211671.i −0.0109775 0.440753i
\(694\) 109698. + 39216.9i 0.227762 + 0.0814244i
\(695\) 125516. + 72466.4i 0.259853 + 0.150026i
\(696\) −688522. 162787.i −1.42134 0.336048i
\(697\) 374048. + 647870.i 0.769949 + 1.33359i
\(698\) −472131. + 86040.5i −0.969063 + 0.176601i
\(699\) −113116. + 444205.i −0.231510 + 0.909137i
\(700\) 33847.9 + 89782.9i 0.0690774 + 0.183230i
\(701\) −621799. −1.26536 −0.632680 0.774413i \(-0.718045\pi\)
−0.632680 + 0.774413i \(0.718045\pi\)
\(702\) 49860.2 + 95910.2i 0.101176 + 0.194621i
\(703\) 69203.8i 0.140029i
\(704\) 762323. 475777.i 1.53813 0.959972i
\(705\) −277563. 70680.9i −0.558448 0.142208i
\(706\) −609002. + 110984.i −1.22183 + 0.222664i
\(707\) 98598.6 56925.9i 0.197257 0.113886i
\(708\) −405414. + 45257.2i −0.808784 + 0.0902861i
\(709\) 262435. 454550.i 0.522070 0.904252i −0.477600 0.878577i \(-0.658493\pi\)
0.999670 0.0256748i \(-0.00817343\pi\)
\(710\) 48313.4 + 17271.9i 0.0958409 + 0.0342629i
\(711\) −316138. 517375.i −0.625371 1.02345i
\(712\) 369792. 222057.i 0.729454 0.438031i
\(713\) −152451. + 264053.i −0.299882 + 0.519412i
\(714\) −121539. 8410.35i −0.238407 0.0164975i
\(715\) 77696.8 44858.2i 0.151982 0.0877466i
\(716\) 722183. + 118828.i 1.40871 + 0.231788i
\(717\) −89912.4 319588.i −0.174897 0.621658i
\(718\) −203821. + 173025.i −0.395366 + 0.335629i
\(719\) 348658.i 0.674438i 0.941426 + 0.337219i \(0.109486\pi\)
−0.941426 + 0.337219i \(0.890514\pi\)
\(720\) 67874.8 218449.i 0.130931 0.421391i
\(721\) −137065. −0.263668
\(722\) 332000. + 391091.i 0.636888 + 0.750245i
\(723\) −54036.7 52707.6i −0.103374 0.100832i
\(724\) 62932.5 382476.i 0.120060 0.729672i
\(725\) −309106. 535387.i −0.588073 1.01857i
\(726\) −1.00000e6 673456.i −1.89726 1.27772i
\(727\) 523789. + 302410.i 0.991032 + 0.572173i 0.905583 0.424170i \(-0.139434\pi\)
0.0854497 + 0.996342i \(0.472767\pi\)
\(728\) −14552.8 24234.8i −0.0274590 0.0457275i
\(729\) −39663.4 529959.i −0.0746336 0.997211i
\(730\) −32128.0 + 89869.2i −0.0602890 + 0.168642i
\(731\) −9828.75 5674.63i −0.0183935 0.0106195i
\(732\) −609580. + 448923.i −1.13765 + 0.837819i
\(733\) 237805. + 411891.i 0.442602 + 0.766609i 0.997882 0.0650546i \(-0.0207222\pi\)
−0.555280 + 0.831664i \(0.687389\pi\)
\(734\) −67821.2 372156.i −0.125885 0.690770i
\(735\) −160556. 156607.i −0.297203 0.289893i
\(736\) −161624. 127914.i −0.298366 0.236136i
\(737\) 204160. 0.375868
\(738\) 636636. 568317.i 1.16890 1.04347i
\(739\) 844449.i 1.54627i −0.634244 0.773133i \(-0.718688\pi\)
0.634244 0.773133i \(-0.281312\pi\)
\(740\) −251254. + 94722.2i −0.458828 + 0.172977i
\(741\) −4110.28 14609.7i −0.00748574 0.0266076i
\(742\) 12092.1 + 66353.1i 0.0219631 + 0.120518i
\(743\) −537216. + 310162.i −0.973131 + 0.561837i −0.900189 0.435499i \(-0.856572\pi\)
−0.0729415 + 0.997336i \(0.523239\pi\)
\(744\) 634964. + 598405.i 1.14710 + 1.08106i
\(745\) −143060. + 247787.i −0.257754 + 0.446443i
\(746\) −243804. + 681974.i −0.438090 + 1.22543i
\(747\) 47146.4 + 77157.3i 0.0844905 + 0.138273i
\(748\) −632049. + 771013.i −1.12966 + 1.37803i
\(749\) −39336.3 + 68132.4i −0.0701180 + 0.121448i
\(750\) 402599. 196722.i 0.715732 0.349728i
\(751\) −632847. + 365374.i −1.12207 + 0.647825i −0.941928 0.335816i \(-0.890988\pi\)
−0.180139 + 0.983641i \(0.557655\pi\)
\(752\) 487549. + 554719.i 0.862149 + 0.980928i
\(753\) 12868.5 + 3276.95i 0.0226955 + 0.00577936i
\(754\) 117870. + 138849.i 0.207330 + 0.244231i
\(755\) 313247.i 0.549533i
\(756\) 18852.9 + 137694.i 0.0329864 + 0.240919i
\(757\) −769023. −1.34198 −0.670992 0.741465i \(-0.734132\pi\)
−0.670992 + 0.741465i \(0.734132\pi\)
\(758\) 156103. 132517.i 0.271689 0.230639i
\(759\) −98076.6 + 385145.i −0.170248 + 0.668560i
\(760\) −15578.2 + 28085.9i −0.0269706 + 0.0486252i
\(761\) −137697. 238498.i −0.237769 0.411828i 0.722305 0.691575i \(-0.243083\pi\)
−0.960074 + 0.279747i \(0.909749\pi\)
\(762\) 419613. + 858754.i 0.722668 + 1.47897i
\(763\) 124293. + 71760.8i