Properties

Label 36.5.f.a.7.2
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 7.2
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.93519 - 0.717143i) q^{2} +(2.22096 - 8.72166i) q^{3} +(14.9714 + 5.64418i) q^{4} +(-5.51579 - 9.55363i) q^{5} +(-14.9946 + 32.7286i) q^{6} +(-10.3188 - 5.95759i) q^{7} +(-54.8676 - 32.9476i) q^{8} +(-71.1347 - 38.7409i) q^{9} +O(q^{10})\) \(q+(-3.93519 - 0.717143i) q^{2} +(2.22096 - 8.72166i) q^{3} +(14.9714 + 5.64418i) q^{4} +(-5.51579 - 9.55363i) q^{5} +(-14.9946 + 32.7286i) 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} +(82.4775 - 118.040i) q^{12} +(18.5350 + 32.1036i) q^{13} +(36.3341 + 30.8443i) q^{14} +(-95.5738 + 26.8886i) q^{15} +(192.286 + 169.003i) q^{16} +284.021 q^{17} +(252.146 + 203.466i) q^{18} -45.4901i q^{19} +(-28.6568 - 174.163i) q^{20} +(-74.8777 + 76.7659i) q^{21} +(669.000 + 567.918i) q^{22} +(-174.319 + 100.643i) q^{23} +(-409.216 + 405.362i) 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} +(395.384 - 37.2718i) q^{30} +(1311.83 - 757.384i) q^{31} +(-635.484 - 802.954i) q^{32} +(-1378.68 + 1413.45i) q^{33} +(-1117.68 - 203.683i) q^{34} +131.443i q^{35} +(-846.326 - 981.503i) q^{36} -1521.29 q^{37} +(-32.6229 + 179.012i) q^{38} +(321.162 - 90.3555i) q^{39} +(-12.1303 + 705.917i) q^{40} +(1316.97 + 2281.07i) q^{41} +(349.710 - 248.390i) 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} +(1901.04 - 1301.71i) q^{48} +(-1129.51 - 1956.38i) q^{49} +(-1302.88 + 1534.78i) q^{50} +(630.798 - 2477.13i) q^{51} +(96.2969 + 585.252i) q^{52} +1415.13 q^{53} +(2334.57 - 1747.24i) q^{54} +2420.19i q^{55} +(369.883 + 666.859i) q^{56} +(-396.749 - 101.032i) q^{57} +(-3179.66 + 3745.60i) q^{58} +(-2453.33 + 1416.43i) q^{59} +(-1582.64 - 136.875i) 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} +(6439.01 - 4573.46i) q^{66} +(-805.917 + 465.296i) q^{67} +(4252.19 + 1603.07i) q^{68} +(490.620 + 1743.87i) q^{69} +(94.2635 - 517.254i) q^{70} -1162.75i q^{71} +(2626.58 + 4469.33i) q^{72} -2162.87 q^{73} +(5986.57 + 1090.98i) q^{74} +(-3242.64 - 3162.88i) q^{75} +(256.754 - 681.051i) q^{76} +(1307.02 + 2263.82i) q^{77} +(-1328.63 + 125.247i) 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} +(-1554.31 + 726.670i) q^{84} +(-1566.60 - 2713.43i) q^{85} +(-121.852 - 103.441i) q^{86} +(-7913.60 - 7718.96i) q^{87} +(6810.44 + 12278.5i) q^{88} -6739.71 q^{89} +(553.059 - 3531.18i) q^{90} -441.696i q^{91} +(-3177.85 + 522.881i) q^{92} +(-3692.13 - 13123.4i) q^{93} +(-8797.09 - 7467.91i) q^{94} +(-434.596 + 250.914i) q^{95} +(-8414.48 + 3759.15i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.93519 0.717143i −0.983797 0.179286i
\(3\) 2.22096 8.72166i 0.246773 0.969073i
\(4\) 14.9714 + 5.64418i 0.935713 + 0.352761i
\(5\) −5.51579 9.55363i −0.220632 0.382145i 0.734368 0.678751i \(-0.237479\pi\)
−0.955000 + 0.296606i \(0.904145\pi\)
\(6\) −14.9946 + 32.7286i −0.416516 + 0.909129i
\(7\) −10.3188 5.95759i −0.210589 0.121583i 0.390996 0.920392i \(-0.372131\pi\)
−0.601585 + 0.798809i \(0.705464\pi\)
\(8\) −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 \(-0.972033\pi\)
−0.574063 0.818811i \(1.30537\pi\)
\(12\) 82.4775 118.040i 0.572760 0.819723i
\(13\) 18.5350 + 32.1036i 0.109675 + 0.189962i 0.915639 0.402003i \(-0.131686\pi\)
−0.805964 + 0.591965i \(0.798352\pi\)
\(14\) 36.3341 + 30.8443i 0.185378 + 0.157369i
\(15\) −95.5738 + 26.8886i −0.424773 + 0.119505i
\(16\) 192.286 + 169.003i 0.751119 + 0.660167i
\(17\) 284.021 0.982771 0.491386 0.870942i \(-0.336491\pi\)
0.491386 + 0.870942i \(0.336491\pi\)
\(18\) 252.146 + 203.466i 0.778227 + 0.627982i
\(19\) 45.4901i 0.126011i −0.998013 0.0630057i \(-0.979931\pi\)
0.998013 0.0630057i \(-0.0200686\pi\)
\(20\) −28.6568 174.163i −0.0716419 0.435409i
\(21\) −74.8777 + 76.7659i −0.169791 + 0.174072i
\(22\) 669.000 + 567.918i 1.38223 + 1.17338i
\(23\) −174.319 + 100.643i −0.329525 + 0.190252i −0.655630 0.755082i \(-0.727597\pi\)
0.326105 + 0.945334i \(0.394264\pi\)
\(24\) −409.216 + 405.362i −0.710445 + 0.703753i
\(25\) 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 \(-0.0939366\pi\)
\(30\) 395.384 37.2718i 0.439316 0.0414131i
\(31\) 1311.83 757.384i 1.36507 0.788121i 0.374773 0.927117i \(-0.377721\pi\)
0.990293 + 0.138996i \(0.0443875\pi\)
\(32\) −635.484 802.954i −0.620590 0.784135i
\(33\) −1378.68 + 1413.45i −1.26601 + 1.29793i
\(34\) −1117.68 203.683i −0.966847 0.176197i
\(35\) 131.443i 0.107301i
\(36\) −846.326 981.503i −0.653030 0.757332i
\(37\) −1521.29 −1.11124 −0.555622 0.831435i \(-0.687520\pi\)
−0.555622 + 0.831435i \(0.687520\pi\)
\(38\) −32.6229 + 179.012i −0.0225920 + 0.123970i
\(39\) 321.162 90.3555i 0.211152 0.0594053i
\(40\) −12.1303 + 705.917i −0.00758145 + 0.441198i
\(41\) 1316.97 + 2281.07i 0.783447 + 1.35697i 0.929923 + 0.367755i \(0.119874\pi\)
−0.146476 + 0.989214i \(0.546793\pi\)
\(42\) 349.710 248.390i 0.198248 0.140811i
\(43\) 34.6057 + 19.9796i 0.0187159 + 0.0108056i 0.509329 0.860572i \(-0.329894\pi\)
−0.490613 + 0.871378i \(0.663227\pi\)
\(44\) −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 0.944184 0.329419i \(-0.106853\pi\)
0.186807 + 0.982397i \(0.440186\pi\)
\(48\) 1901.04 1301.71i 0.825106 0.564978i
\(49\) −1129.51 1956.38i −0.470435 0.814817i
\(50\) −1302.88 + 1534.78i −0.521153 + 0.613911i
\(51\) 630.798 2477.13i 0.242521 0.952377i
\(52\) 96.2969 + 585.252i 0.0356128 + 0.216439i
\(53\) 1415.13 0.503783 0.251892 0.967755i \(-0.418947\pi\)
0.251892 + 0.967755i \(0.418947\pi\)
\(54\) 2334.57 1747.24i 0.800607 0.599190i
\(55\) 2420.19i 0.800062i
\(56\) 369.883 + 666.859i 0.117947 + 0.212646i
\(57\) −396.749 101.032i −0.122114 0.0310962i
\(58\) −3179.66 + 3745.60i −0.945203 + 1.11344i
\(59\) −2453.33 + 1416.43i −0.704778 + 0.406904i −0.809125 0.587637i \(-0.800058\pi\)
0.104346 + 0.994541i \(0.466725\pi\)
\(60\) −1582.64 136.875i −0.439622 0.0380209i
\(61\) 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
\(66\) 6439.01 4573.46i 1.47819 1.04992i
\(67\) −805.917 + 465.296i −0.179531 + 0.103653i −0.587073 0.809534i \(-0.699720\pi\)
0.407541 + 0.913187i \(0.366386\pi\)
\(68\) 4252.19 + 1603.07i 0.919592 + 0.346684i
\(69\) 490.620 + 1743.87i 0.103050 + 0.366283i
\(70\) 94.2635 517.254i 0.0192375 0.105562i
\(71\) 1162.75i 0.230659i −0.993327 0.115329i \(-0.963208\pi\)
0.993327 0.115329i \(-0.0367923\pi\)
\(72\) 2626.58 + 4469.33i 0.506670 + 0.862140i
\(73\) −2162.87 −0.405867 −0.202934 0.979192i \(-0.565048\pi\)
−0.202934 + 0.979192i \(0.565048\pi\)
\(74\) 5986.57 + 1090.98i 1.09324 + 0.199230i
\(75\) −3242.64 3162.88i −0.576469 0.562290i
\(76\) 256.754 681.051i 0.0444519 0.117911i
\(77\) 1307.02 + 2263.82i 0.220445 + 0.381822i
\(78\) −1328.63 + 125.247i −0.218381 + 0.0205862i
\(79\) −6482.54 3742.70i −1.03870 0.599695i −0.119237 0.992866i \(-0.538045\pi\)
−0.919466 + 0.393171i \(0.871378\pi\)
\(80\) 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 0.568523 0.822667i \(-0.307515\pi\)
−0.428190 + 0.903689i \(0.640848\pi\)
\(84\) −1554.31 + 726.670i −0.220282 + 0.102986i
\(85\) −1566.60 2713.43i −0.216830 0.375561i
\(86\) −121.852 103.441i −0.0164754 0.0139861i
\(87\) −7913.60 7718.96i −1.04553 1.01981i
\(88\) 6810.44 + 12278.5i 0.879447 + 1.58555i
\(89\) −6739.71 −0.850866 −0.425433 0.904990i \(-0.639878\pi\)
−0.425433 + 0.904990i \(0.639878\pi\)
\(90\) 553.059 3531.18i 0.0682789 0.435949i
\(91\) 441.696i 0.0533385i
\(92\) −3177.85 + 522.881i −0.375455 + 0.0617771i
\(93\) −3692.13 13123.4i −0.426886 1.51734i
\(94\) −8797.09 7467.91i −0.995596 0.845168i
\(95\) −434.596 + 250.914i −0.0481546 + 0.0278021i
\(96\) −8414.48 + 3759.15i −0.913029 + 0.407894i
\(97\) −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 \(0.0115167\pi\)
\(102\) −4258.77 + 9295.61i −0.409339 + 0.893465i
\(103\) 9962.26 5751.71i 0.939039 0.542154i 0.0493798 0.998780i \(-0.484276\pi\)
0.889659 + 0.456626i \(0.150942\pi\)
\(104\) 40.7622 2372.13i 0.00376870 0.219317i
\(105\) 1146.40 + 291.930i 0.103982 + 0.0264789i
\(106\) −5568.79 1014.85i −0.495620 0.0903211i
\(107\) 6602.72i 0.576707i −0.957524 0.288353i \(-0.906892\pi\)
0.957524 0.288353i \(-0.0931078\pi\)
\(108\) −10440.0 + 5201.50i −0.895061 + 0.445944i
\(109\) 12045.3 1.01383 0.506913 0.861997i \(-0.330786\pi\)
0.506913 + 0.861997i \(0.330786\pi\)
\(110\) 1735.62 9523.89i 0.143440 0.787099i
\(111\) −3378.73 + 13268.2i −0.274225 + 1.07688i
\(112\) −977.325 2889.48i −0.0779117 0.230347i
\(113\) −1865.35 3230.88i −0.146084 0.253025i 0.783693 0.621149i \(-0.213334\pi\)
−0.929777 + 0.368124i \(0.880000\pi\)
\(114\) 1488.83 + 682.104i 0.114561 + 0.0524857i
\(115\) 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
\(120\) 6129.83 + 1673.61i 0.425682 + 0.116223i
\(121\) 16744.9 + 29003.0i 1.14370 + 1.98094i
\(122\) −13609.3 + 16031.5i −0.914356 + 1.07710i
\(123\) 22819.6 6420.05i 1.50834 0.424354i
\(124\) 23914.7 3934.92i 1.55533 0.255913i
\(125\) −12447.0 −0.796607
\(126\) −1389.68 3601.72i −0.0875336 0.226865i
\(127\) 26549.7i 1.64608i 0.567980 + 0.823042i \(0.307725\pi\)
−0.567980 + 0.823042i \(0.692275\pi\)
\(128\) −4982.07 15608.2i −0.304082 0.952646i
\(129\) 251.113 257.445i 0.0150900 0.0154706i
\(130\) −1058.61 + 1247.03i −0.0626396 + 0.0737886i
\(131\) 1142.84 659.821i 0.0665954 0.0384489i −0.466333 0.884609i \(-0.654425\pi\)
0.532928 + 0.846161i \(0.321092\pi\)
\(132\) −28618.5 + 13379.8i −1.64248 + 0.767892i
\(133\) −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 \(0.925310\pi\)
\(138\) −680.075 7214.32i −0.0357107 0.378824i
\(139\) 11377.8 6569.00i 0.588885 0.339993i −0.175772 0.984431i \(-0.556242\pi\)
0.764656 + 0.644438i \(0.222909\pi\)
\(140\) −741.889 + 1967.89i −0.0378515 + 0.100403i
\(141\) 18129.1 18586.3i 0.911881 0.934876i
\(142\) −833.858 + 4575.64i −0.0413538 + 0.226921i
\(143\) 8132.70i 0.397706i
\(144\) −7130.92 19471.3i −0.343891 0.939010i
\(145\) −13550.2 −0.644478
\(146\) 8511.29 + 1551.08i 0.399291 + 0.0727662i
\(147\) −19571.5 + 5506.21i −0.905708 + 0.254811i
\(148\) −22775.9 8586.46i −1.03981 0.392004i
\(149\) −12968.2 22461.6i −0.584128 1.01174i −0.994984 0.100038i \(-0.968103\pi\)
0.410856 0.911700i \(-0.365230\pi\)
\(150\) 10492.2 + 14772.0i 0.466318 + 0.656532i
\(151\) −24591.2 14197.8i −1.07852 0.622681i −0.148020 0.988984i \(-0.547290\pi\)
−0.930496 + 0.366303i \(0.880623\pi\)
\(152\) −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
\(156\) 5318.24 + 459.950i 0.218534 + 0.0189000i
\(157\) 2760.19 + 4780.78i 0.111980 + 0.193954i 0.916568 0.399878i \(-0.130948\pi\)
−0.804589 + 0.593832i \(0.797614\pi\)
\(158\) 22826.0 + 19377.1i 0.914356 + 0.776203i
\(159\) 3142.94 12342.3i 0.124320 0.488203i
\(160\) −4165.93 + 10500.1i −0.162732 + 0.410161i
\(161\) 2398.36 0.0925257
\(162\) −10053.8 24241.9i −0.383091 0.923711i
\(163\) 407.281i 0.0153292i −0.999971 0.00766459i \(-0.997560\pi\)
0.999971 0.00766459i \(-0.00243974\pi\)
\(164\) 6842.21 + 41584.0i 0.254395 + 1.54610i
\(165\) 21108.1 + 5375.13i 0.775319 + 0.197434i
\(166\) −3404.09 2889.76i −0.123534 0.104868i
\(167\) 20561.9 11871.4i 0.737277 0.425667i −0.0838016 0.996482i \(-0.526706\pi\)
0.821078 + 0.570816i \(0.193373\pi\)
\(168\) 6637.61 1744.92i 0.235176 0.0618241i
\(169\) 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 \(0.151630\pi\)
\(174\) 25605.9 + 36050.7i 0.845750 + 1.19074i
\(175\) −5193.52 + 2998.48i −0.169584 + 0.0979095i
\(176\) −17994.9 53202.2i −0.580931 1.71753i
\(177\) 6904.89 + 24543.0i 0.220399 + 0.783395i
\(178\) 26522.0 + 4833.34i 0.837080 + 0.152548i
\(179\) 45743.4i 1.42765i 0.700323 + 0.713826i \(0.253039\pi\)
−0.700323 + 0.713826i \(0.746961\pi\)
\(180\) −4708.75 + 13499.3i −0.145332 + 0.416644i
\(181\) −24226.2 −0.739483 −0.369742 0.929135i \(-0.620554\pi\)
−0.369742 + 0.929135i \(0.620554\pi\)
\(182\) −316.759 + 1738.16i −0.00956283 + 0.0524743i
\(183\) −33871.0 33037.9i −1.01141 0.986531i
\(184\) 12880.4 + 221.334i 0.380447 + 0.00653752i
\(185\) 8391.13 + 14533.9i 0.245176 + 0.424657i
\(186\) 5117.87 + 54291.0i 0.147932 + 1.56928i
\(187\) −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 0.742908 0.669393i \(-0.233446\pi\)
−0.208257 + 0.978074i \(0.566779\pi\)
\(192\) 35808.4 8758.58i 0.971365 0.237592i
\(193\) −9144.35 15838.5i −0.245493 0.425205i 0.716777 0.697302i \(-0.245616\pi\)
−0.962270 + 0.272097i \(0.912283\pi\)
\(194\) 31184.4 36734.8i 0.828579 0.976055i
\(195\) −2634.69 2569.88i −0.0692883 0.0675841i
\(196\) −5868.28 35664.9i −0.152756 0.928387i
\(197\) 36300.2 0.935356 0.467678 0.883899i \(-0.345091\pi\)
0.467678 + 0.883899i \(0.345091\pi\)
\(198\) −25587.4 66316.3i −0.652674 1.69157i
\(199\) 47336.5i 1.19533i 0.801744 + 0.597667i \(0.203906\pi\)
−0.801744 + 0.597667i \(0.796094\pi\)
\(200\) −28168.6 + 15624.1i −0.704214 + 0.390602i
\(201\) 2268.25 + 8062.33i 0.0561434 + 0.199558i
\(202\) −24735.1 + 29137.6i −0.606194 + 0.714088i
\(203\) −12674.7 + 7317.73i −0.307571 + 0.177576i
\(204\) 23425.3 33525.8i 0.562892 0.805600i
\(205\) 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
\(210\) −4301.96 1970.93i −0.0975500 0.0446923i
\(211\) 40261.7 23245.1i 0.904330 0.522115i 0.0257275 0.999669i \(-0.491810\pi\)
0.878602 + 0.477554i \(0.158476\pi\)
\(212\) 21186.5 + 7987.24i 0.471397 + 0.177715i
\(213\) −10141.1 2582.42i −0.223525 0.0569203i
\(214\) −4735.09 + 25982.9i −0.103395 + 0.567363i
\(215\) 440.814i 0.00953626i
\(216\) 44813.5 12981.9i 0.960509 0.278247i
\(217\) −18048.7 −0.383290
\(218\) −47400.4 8638.18i −0.997400 0.181765i
\(219\) −4803.64 + 18863.8i −0.100157 + 0.393315i
\(220\) −13660.0 + 36233.6i −0.282231 + 0.748629i
\(221\) 5264.34 + 9118.10i 0.107785 + 0.186689i
\(222\) 22811.1 49789.8i 0.462850 1.01026i
\(223\) 71531.9 + 41298.9i 1.43843 + 0.830480i 0.997741 0.0671780i \(-0.0213996\pi\)
0.440693 + 0.897658i \(0.354733\pi\)
\(224\) 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 0.229194 0.973381i \(-0.426391\pi\)
−0.728376 + 0.685178i \(0.759724\pi\)
\(228\) −5369.66 3751.91i −0.103294 0.0721743i
\(229\) −22667.9 39262.0i −0.432256 0.748690i 0.564811 0.825220i \(-0.308949\pi\)
−0.997067 + 0.0765307i \(0.975616\pi\)
\(230\) −6771.21 5748.13i −0.128000 0.108660i
\(231\) 22647.1 6371.52i 0.424413 0.119404i
\(232\) −68744.9 + 38130.3i −1.27722 + 0.708425i
\(233\) 50931.3 0.938151 0.469075 0.883158i \(-0.344587\pi\)
0.469075 + 0.883158i \(0.344587\pi\)
\(234\) −1858.48 + 11866.0i −0.0339411 + 0.216708i
\(235\) 31824.5i 0.576270i
\(236\) −44724.5 + 7358.94i −0.803010 + 0.132127i
\(237\) −47040.0 + 48226.2i −0.837472 + 0.858590i
\(238\) 10319.7 + 8760.43i 0.182184 + 0.154658i
\(239\) 31946.2 18444.1i 0.559272 0.322896i −0.193581 0.981084i \(-0.562010\pi\)
0.752853 + 0.658188i \(0.228677\pi\)
\(240\) −22921.8 10981.9i −0.397948 0.190658i
\(241\) −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
\(246\) −94403.6 + 8899.18i −1.55998 + 0.147055i
\(247\) 1460.40 843.160i 0.0239374 0.0138203i
\(248\) −96930.9 1665.64i −1.57601 0.0270818i
\(249\) 7015.18 7192.08i 0.113146 0.115999i
\(250\) 48981.2 + 8926.26i 0.783699 + 0.142820i
\(251\) 1475.47i 0.0234198i 0.999931 + 0.0117099i \(0.00372746\pi\)
−0.999931 + 0.0117099i \(0.996273\pi\)
\(252\) 2885.72 + 15170.0i 0.0454416 + 0.238883i
\(253\) 44159.6 0.689897
\(254\) 19039.9 104478.i 0.295119 1.61941i
\(255\) −27145.0 + 7636.94i −0.417454 + 0.117446i
\(256\) 8412.13 + 64993.9i 0.128359 + 0.991728i
\(257\) −17336.5 30027.8i −0.262480 0.454629i 0.704420 0.709783i \(-0.251207\pi\)
−0.966900 + 0.255154i \(0.917874\pi\)
\(258\) −1172.80 + 833.012i −0.0176192 + 0.0125145i
\(259\) 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 0.614392 0.789001i \(-0.289401\pi\)
−0.376099 + 0.926580i \(0.622735\pi\)
\(264\) 122215. 32128.3i 1.75354 0.460977i
\(265\) −7805.54 13519.6i −0.111151 0.192518i
\(266\) 1403.11 1652.84i 0.0198303 0.0233598i
\(267\) −14968.6 + 58781.5i −0.209971 + 0.824552i
\(268\) −14691.9 + 2417.40i −0.204555 + 0.0336573i
\(269\) 58724.1 0.811544 0.405772 0.913974i \(-0.367003\pi\)
0.405772 + 0.913974i \(0.367003\pi\)
\(270\) −29569.5 12666.2i −0.405617 0.173748i
\(271\) 31474.1i 0.428563i −0.976772 0.214281i \(-0.931259\pi\)
0.976772 0.214281i \(-0.0687409\pi\)
\(272\) 54613.4 + 48000.3i 0.738178 + 0.648793i
\(273\) −3852.32 980.988i −0.0516889 0.0131625i
\(274\) 66820.8 78714.0i 0.890043 1.04846i
\(275\) −95625.2 + 55209.2i −1.26447 + 0.730040i
\(276\) −2497.47 + 28877.4i −0.0327856 + 0.379088i
\(277\) −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 \(-0.119862\pi\)
\(282\) −84670.5 + 60139.3i −1.06472 + 0.756241i
\(283\) 47401.9 27367.5i 0.591865 0.341713i −0.173970 0.984751i \(-0.555659\pi\)
0.765835 + 0.643038i \(0.222326\pi\)
\(284\) 6562.78 17408.0i 0.0813675 0.215830i
\(285\) 1223.17 + 4347.66i 0.0150590 + 0.0535262i
\(286\) −5832.30 + 32003.7i −0.0713030 + 0.391262i
\(287\) 31383.9i 0.381016i
\(288\) 14097.8 + 81737.1i 0.169968 + 0.985450i
\(289\) −2853.15 −0.0341609
\(290\) 53322.4 + 9717.39i 0.634036 + 0.115546i
\(291\) 77612.4 + 75703.4i 0.916526 + 0.893983i
\(292\) −32381.2 12207.6i −0.379776 0.143174i
\(293\) 44309.0 + 76745.4i 0.516127 + 0.893958i 0.999825 + 0.0187226i \(0.00595995\pi\)
−0.483698 + 0.875235i \(0.660707\pi\)
\(294\) 80966.1 7632.46i 0.936717 0.0883019i
\(295\) 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
\(300\) −30695.0 65654.9i −0.341055 0.729498i
\(301\) −238.061 412.333i −0.00262757 0.00455109i
\(302\) 86589.3 + 73506.3i 0.949403 + 0.805955i
\(303\) −61561.3 60047.1i −0.670536 0.654044i
\(304\) 7687.95 8747.13i 0.0831886 0.0946495i
\(305\) −57996.0 −0.623446
\(306\) 71614.6 + 57788.7i 0.764820 + 0.617163i
\(307\) 123447.i 1.30980i −0.755716 0.654900i \(-0.772711\pi\)
0.755716 0.654900i \(-0.227289\pi\)
\(308\) 6790.48 + 41269.7i 0.0715813 + 0.435040i
\(309\) −28038.7 99661.8i −0.293658 1.04379i
\(310\) 50956.4 + 43257.2i 0.530243 + 0.450127i
\(311\) 52431.9 30271.6i 0.542094 0.312978i −0.203833 0.979006i \(-0.565340\pi\)
0.745927 + 0.666027i \(0.232007\pi\)
\(312\) −20598.4 5623.92i −0.211604 0.0577737i
\(313\) 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 \(0.125376\pi\)
\(318\) −21219.2 + 46315.2i −0.209834 + 0.458004i
\(319\) −233372. + 134737.i −2.29333 + 1.32406i
\(320\) 23923.8 38332.3i 0.233631 0.374339i
\(321\) −57586.7 14664.4i −0.558871 0.142316i
\(322\) −9437.99 1719.97i −0.0910265 0.0165885i
\(323\) 12920.1i 0.123840i
\(324\) 22178.9 + 102606.i 0.211276 + 0.977426i
\(325\) 18657.5 0.176639
\(326\) −292.079 + 1602.73i −0.00274830 + 0.0150808i
\(327\) 26752.0 105055.i 0.250185 0.982472i
\(328\) 2896.29 168548.i 0.0269212 1.56666i
\(329\) −17186.8 29768.4i −0.158783 0.275019i
\(330\) −79209.4 36289.6i −0.727359 0.333238i
\(331\) −37439.2 21615.5i −0.341720 0.197292i 0.319312 0.947650i \(-0.396548\pi\)
−0.661032 + 0.750357i \(0.729881\pi\)
\(332\) 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
\(336\) −27371.6 + 2106.49i −0.242450 + 0.0186587i
\(337\) −5926.38 10264.8i −0.0521831 0.0903837i 0.838754 0.544511i \(-0.183285\pi\)
−0.890937 + 0.454127i \(0.849951\pi\)
\(338\) −70377.3 + 82903.5i −0.616027 + 0.725671i
\(339\) −32321.5 + 9093.29i −0.281249 + 0.0791264i
\(340\) −8139.12 49466.1i −0.0704076 0.427907i
\(341\) −332321. −2.85791
\(342\) 9255.70 11470.1i 0.0791329 0.0980655i
\(343\) 55525.0i 0.471955i
\(344\) −1240.45 2236.41i −0.0104825 0.0188988i
\(345\) 13954.2 14306.0i 0.117237 0.120194i
\(346\) −7316.83 + 8619.12i −0.0611182 + 0.0719964i
\(347\) −25222.5 + 14562.2i −0.209473 + 0.120940i −0.601067 0.799199i \(-0.705257\pi\)
0.391593 + 0.920138i \(0.371924\pi\)
\(348\) −74910.6 160230.i −0.618564 1.32307i
\(349\) −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 \(0.953404\pi\)
\(354\) −9571.25 101533.i −0.0763769 0.810216i
\(355\) −11108.5 + 6413.49i −0.0881451 + 0.0508906i
\(356\) −100903. 38040.2i −0.796167 0.300153i
\(357\) −21266.8 + 21803.1i −0.166866 + 0.171073i
\(358\) 32804.5 180009.i 0.255957 1.40452i
\(359\) 66839.6i 0.518615i −0.965795 0.259307i \(-0.916506\pi\)
0.965795 0.259307i \(-0.0834942\pi\)
\(360\) 28210.7 49745.3i 0.217675 0.383837i
\(361\) 128252. 0.984121
\(362\) 95334.7 + 17373.6i 0.727501 + 0.132579i
\(363\) 290144. 81628.7i 2.20191 0.619483i
\(364\) 2493.01 6612.82i 0.0188158 0.0499096i
\(365\) 11929.9 + 20663.2i 0.0895472 + 0.155100i
\(366\) 109596. + 154301.i 0.818149 + 1.15188i
\(367\) 81901.3 + 47285.7i 0.608077 + 0.351073i 0.772212 0.635364i \(-0.219150\pi\)
−0.164136 + 0.986438i \(0.552483\pi\)
\(368\) −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
\(372\) 18794.6 217315.i 0.135815 1.57038i
\(373\) 90530.4 + 156803.i 0.650694 + 1.12704i 0.982955 + 0.183848i \(0.0588554\pi\)
−0.332260 + 0.943188i \(0.607811\pi\)
\(374\) 190010. + 161301.i 1.35842 + 1.15317i
\(375\) −27644.2 + 108558.i −0.196581 + 0.771970i
\(376\) −89554.6 161457.i −0.633450 1.14204i
\(377\) 45533.4 0.320366
\(378\) −34499.4 + 4121.09i −0.241450 + 0.0288422i
\(379\) 51191.3i 0.356384i 0.983996 + 0.178192i \(0.0570248\pi\)
−0.983996 + 0.178192i \(0.942975\pi\)
\(380\) −7922.71 + 1303.60i −0.0548664 + 0.00902769i
\(381\) 231557. + 58965.7i 1.59518 + 0.406209i
\(382\) −68678.6 58301.7i −0.470646 0.399535i
\(383\) 132128. 76284.0i 0.900734 0.520039i 0.0232957 0.999729i \(-0.492584\pi\)
0.877438 + 0.479690i \(0.159251\pi\)
\(384\) −147194. + 8786.92i −0.998223 + 0.0595901i
\(385\) 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 \(0.238692\pi\)
\(390\) 8525.02 + 12002.4i 0.0560488 + 0.0789114i
\(391\) −49510.2 + 28584.7i −0.323848 + 0.186974i
\(392\) −2484.03 + 144556.i −0.0161653 + 0.940731i
\(393\) −3216.53 11432.9i −0.0208258 0.0740240i
\(394\) −142848. 26032.5i −0.920201 0.167696i
\(395\) 82575.7i 0.529247i
\(396\) 53133.1 + 279317.i 0.338825 + 1.78118i
\(397\) −126087. −0.799998 −0.399999 0.916516i \(-0.630990\pi\)
−0.399999 + 0.916516i \(0.630990\pi\)
\(398\) 33947.0 186278.i 0.214306 1.17597i
\(399\) 3492.09 + 3406.20i 0.0219351 + 0.0213956i
\(400\) 122053. 41282.8i 0.762833 0.258017i
\(401\) −35445.4 61393.2i −0.220430 0.381796i 0.734509 0.678599i \(-0.237413\pi\)
−0.954939 + 0.296803i \(0.904079\pi\)
\(402\) −3144.14 33353.5i −0.0194558 0.206390i
\(403\) 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
\(408\) −116226. + 115131.i −0.698204 + 0.691628i
\(409\) −21772.1 37710.4i −0.130153 0.225432i 0.793582 0.608463i \(-0.208214\pi\)
−0.923735 + 0.383031i \(0.874880\pi\)
\(410\) −75217.6 + 88605.3i −0.447458 + 0.527099i
\(411\) 166305. + 162215.i 0.984513 + 0.960298i
\(412\) 181613. 29882.5i 1.06992 0.176044i
\(413\) 33754.1 0.197891
\(414\) −64431.2 10091.3i −0.375920 0.0588772i
\(415\) 12314.7i 0.0715036i
\(416\) 13999.0 35284.1i 0.0808930 0.203888i
\(417\) −32022.9 113823.i −0.184157 0.654573i
\(418\) 25834.7 30432.9i 0.147860 0.174177i
\(419\) −182385. + 105300.i −1.03887 + 0.599792i −0.919513 0.393060i \(-0.871417\pi\)
−0.119357 + 0.992851i \(0.538083\pi\)
\(420\) 15515.6 + 10841.1i 0.0879567 + 0.0614575i
\(421\) −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
\(426\) 38055.2 + 17434.9i 0.209698 + 0.0960729i
\(427\) −54249.0 + 31320.7i −0.297533 + 0.171781i
\(428\) 37266.9 98852.0i 0.203440 0.539632i
\(429\) −70930.6 18062.4i −0.385407 0.0981432i
\(430\) −316.126 + 1734.69i −0.00170972 + 0.00938175i
\(431\) 150083.i 0.807933i −0.914774 0.403967i \(-0.867631\pi\)
0.914774 0.403967i \(-0.132369\pi\)
\(432\) −185660. + 18948.5i −0.994832 + 0.101533i
\(433\) 71221.5 0.379871 0.189935 0.981797i \(-0.439172\pi\)
0.189935 + 0.981797i \(0.439172\pi\)
\(434\) 71025.1 + 12943.5i 0.377079 + 0.0687183i
\(435\) −30094.3 + 118180.i −0.159040 + 0.624546i
\(436\) 180335. + 67985.7i 0.948651 + 0.357639i
\(437\) 4578.26 + 7929.78i 0.0239739 + 0.0415239i
\(438\) 32431.2 70787.7i 0.169050 0.368986i
\(439\) 94609.3 + 54622.7i 0.490913 + 0.283429i 0.724953 0.688798i \(-0.241861\pi\)
−0.234040 + 0.972227i \(0.575195\pi\)
\(440\) 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 −0.104382 0.994537i \(-0.533287\pi\)
−0.913486 + 0.406871i \(0.866620\pi\)
\(444\) −125472. + 179574.i −0.636477 + 0.910912i
\(445\) 37174.8 + 64388.7i 0.187728 + 0.325154i
\(446\) −251874. 213818.i −1.26623 1.07491i
\(447\) −224704. + 63218.1i −1.12460 + 0.316393i
\(448\) 1676.80 48775.7i 0.00835458 0.243023i
\(449\) −9751.64 −0.0483710 −0.0241855 0.999707i \(-0.507699\pi\)
−0.0241855 + 0.999707i \(0.507699\pi\)
\(450\) 152139. 58701.1i 0.751302 0.289882i
\(451\) 577854.i 2.84096i
\(452\) −9691.23 58899.1i −0.0474353 0.288292i
\(453\) −178444. + 182944.i −0.869573 + 0.891500i
\(454\) 90572.1 + 76887.2i 0.439423 + 0.373029i
\(455\) −4219.80 + 2436.30i −0.0203831 + 0.0117682i
\(456\) 18440.0 + 18615.3i 0.0886809 + 0.0895241i
\(457\) −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 \(0.0324236\pi\)
\(462\) −93689.9 + 8831.90i −0.438944 + 0.0413781i
\(463\) 150682. 86996.3i 0.702909 0.405825i −0.105521 0.994417i \(-0.533651\pi\)
0.808430 + 0.588592i \(0.200318\pi\)
\(464\) 297869. 100750.i 1.38353 0.467960i
\(465\) −105011. + 107659.i −0.485658 + 0.497905i
\(466\) −200424. 36525.0i −0.922950 0.168197i
\(467\) 172090.i 0.789080i −0.918879 0.394540i \(-0.870904\pi\)
0.918879 0.394540i \(-0.129096\pi\)
\(468\) 15823.1 45362.3i 0.0722437 0.207111i
\(469\) 11088.2 0.0504097
\(470\) −22822.7 + 125236.i −0.103317 + 0.566933i
\(471\) 47826.6 13455.5i 0.215590 0.0606538i
\(472\) 181277. + 3115.02i 0.813688 + 0.0139822i
\(473\) −4383.27 7592.05i −0.0195919 0.0339341i
\(474\) 219696. 156045.i 0.977836 0.694532i
\(475\) −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 0.0275690 0.999620i \(-0.491223\pi\)
−0.851912 + 0.523685i \(0.824557\pi\)
\(480\) 82326.0 + 59654.1i 0.357318 + 0.258916i
\(481\) −28197.2 48839.0i −0.121875 0.211094i
\(482\) 21711.8 25576.2i 0.0934548 0.110088i
\(483\) 5326.65 20917.7i 0.0228328 0.0896642i
\(484\) 86996.3 + 528726.i 0.371373 + 2.25705i
\(485\) 132893. 0.564959
\(486\) −233758. + 33846.1i −0.989680 + 0.143297i
\(487\) 392112.i 1.65330i 0.562716 + 0.826650i \(0.309757\pi\)
−0.562716 + 0.826650i \(0.690243\pi\)
\(488\) −294235. + 163201.i −1.23553 + 0.685306i
\(489\) −3552.17 904.554i −0.0148551 0.00378283i
\(490\) 64511.1 75993.1i 0.268684 0.316506i
\(491\) −181620. + 104859.i −0.753358 + 0.434951i −0.826906 0.562340i \(-0.809901\pi\)
0.0735480 + 0.997292i \(0.476568\pi\)
\(492\) 377878. + 32680.9i 1.56107 + 0.135009i
\(493\) 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
\(498\) −32763.8 + 23271.3i −0.132110 + 0.0938344i
\(499\) −117681. + 67943.0i −0.472611 + 0.272862i −0.717332 0.696731i \(-0.754637\pi\)
0.244721 + 0.969594i \(0.421304\pi\)
\(500\) −186349. 70253.0i −0.745395 0.281012i
\(501\) −57871.4 205700.i −0.230562 0.819518i
\(502\) 1058.12 5806.24i 0.00419883 0.0230403i
\(503\) 232332.i 0.918275i 0.888365 + 0.459137i \(0.151841\pi\)
−0.888365 + 0.459137i \(0.848159\pi\)
\(504\) −476.781 61766.4i −0.00187697 0.243160i
\(505\) −105409. −0.413328
\(506\) −173776. 31668.7i −0.678718 0.123689i
\(507\) −175156. 170848.i −0.681413 0.664653i
\(508\) −149851. + 397486.i −0.580675 + 1.54026i
\(509\) 72659.4 + 125850.i 0.280451 + 0.485755i 0.971496 0.237057i \(-0.0761827\pi\)
−0.691045 + 0.722812i \(0.742849\pi\)
\(510\) 112297. 10586.0i 0.431747 0.0406996i
\(511\) 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
\(516\) 5212.59 2436.99i 0.0195774 0.00915282i
\(517\) −316450. 548108.i −1.18393 2.05062i
\(518\) −55274.9 46923.2i −0.206001 0.174875i
\(519\) −18210.3 17762.4i −0.0676054 0.0659426i
\(520\) −22887.3 + 12694.8i −0.0846425 + 0.0469481i
\(521\) 443088. 1.63235 0.816177 0.577803i \(-0.196090\pi\)
0.816177 + 0.577803i \(0.196090\pi\)
\(522\) 371292. 143259.i 1.36262 0.525752i
\(523\) 73202.4i 0.267622i −0.991007 0.133811i \(-0.957278\pi\)
0.991007 0.133811i \(-0.0427215\pi\)
\(524\) 20834.1 3428.04i 0.0758775 0.0124848i
\(525\) 14617.1 + 51955.6i 0.0530327 + 0.188501i
\(526\) −58037.4 49268.3i −0.209767 0.178072i
\(527\) 372587. 215113.i 1.34155 0.774543i
\(528\) −503978. + 38785.6i −1.80777 + 0.139124i
\(529\) −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
\(534\) 101059. 220582.i 0.354399 0.773547i
\(535\) −63079.9 + 36419.2i −0.220386 + 0.127240i
\(536\) 59549.1 + 1023.28i 0.207274 + 0.00356176i
\(537\) 398958. + 101594.i 1.38350 + 0.352306i
\(538\) −231090. 42113.6i −0.798394 0.145498i
\(539\) 495602.i 1.70591i
\(540\) 107278. + 71049.4i 0.367894 + 0.243654i
\(541\) 438165. 1.49707 0.748536 0.663094i \(-0.230757\pi\)
0.748536 + 0.663094i \(0.230757\pi\)
\(542\) −22571.4 + 123856.i −0.0768351 + 0.421619i
\(543\) −53805.4 + 211293.i −0.182485 + 0.716613i
\(544\) −180491. 228056.i −0.609898 0.770625i
\(545\) −66439.2 115076.i −0.223682 0.387429i
\(546\) 14456.1 + 6623.04i 0.0484916 + 0.0222163i
\(547\) 270221. + 156012.i 0.903118 + 0.521416i 0.878211 0.478274i \(-0.158737\pi\)
0.0249077 + 0.999690i \(0.492071\pi\)
\(548\) −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
\(552\) 30537.2 111847.i 0.100219 0.367068i
\(553\) 44594.9 + 77240.6i 0.145826 + 0.252578i
\(554\) 172227. 202881.i 0.561155 0.661032i
\(555\) 145396. 40905.5i 0.472026 0.132799i
\(556\) 207419. 34128.6i 0.670963 0.110400i
\(557\) 312549. 1.00741 0.503707 0.863874i \(-0.331969\pi\)
0.503707 + 0.863874i \(0.331969\pi\)
\(558\) 484874. + 75941.6i 1.55726 + 0.243900i
\(559\) 1481.29i 0.00474042i
\(560\) −22214.3 + 25274.7i −0.0708363 + 0.0805955i
\(561\) −391574. + 401448.i −1.24419 + 1.27557i
\(562\) −320268. + 377272.i −1.01401 + 1.19449i
\(563\) 74780.6 43174.6i 0.235924 0.136211i −0.377378 0.926059i \(-0.623174\pi\)
0.613302 + 0.789849i \(0.289841\pi\)
\(564\) 376323. 175939.i 1.18305 0.553099i
\(565\) −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 \(0.838962\pi\)
\(570\) −1695.50 17986.1i −0.00521852 0.0553588i
\(571\) 262848. 151755.i 0.806181 0.465449i −0.0394467 0.999222i \(-0.512560\pi\)
0.845628 + 0.533773i \(0.179226\pi\)
\(572\) 45902.4 121758.i 0.140295 0.372139i
\(573\) 141533. 145102.i 0.431072 0.441942i
\(574\) −22506.8 + 123502.i −0.0683108 + 0.374843i
\(575\) 101308.i 0.306414i
\(576\) 3139.60 331761.i 0.00946301 0.999955i
\(577\) −500884. −1.50448 −0.752238 0.658892i \(-0.771026\pi\)
−0.752238 + 0.658892i \(0.771026\pi\)
\(578\) 11227.7 + 2046.12i 0.0336074 + 0.00612456i
\(579\) −158447. + 44577.3i −0.472636 + 0.132971i
\(580\) −202865. 76479.5i −0.603047 0.227347i
\(581\) −6650.54 11519.1i −0.0197017 0.0341244i
\(582\) −251129. 353566.i −0.741398 1.04382i
\(583\) −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 0.998300 0.0582932i \(-0.0185658\pi\)
0.448666 + 0.893699i \(0.351899\pi\)
\(588\) −324090. 28029.1i −0.937371 0.0810688i
\(589\) −34453.5 59675.2i −0.0993122 0.172014i
\(590\) −95296.8 80898.1i −0.273763 0.232399i
\(591\) 80621.3 316598.i 0.230821 0.906429i
\(592\) −292524. 257103.i −0.834676 0.733607i
\(593\) −138143. −0.392843 −0.196421 0.980520i \(-0.562932\pi\)
−0.196421 + 0.980520i \(0.562932\pi\)
\(594\) −635217. + 75879.2i −1.80032 + 0.215055i
\(595\) 37332.6i 0.105452i
\(596\) −67375.1 409477.i −0.189674 1.15275i
\(597\) 412852. + 105132.i 1.15837 + 0.294976i
\(598\) 22753.7 + 19315.8i 0.0636282 + 0.0540144i
\(599\) 165665. 95646.9i 0.461719 0.266574i −0.251048 0.967975i \(-0.580775\pi\)
0.712767 + 0.701401i \(0.247442\pi\)
\(600\) 73706.7 + 280377.i 0.204741 + 0.778825i
\(601\) 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
\(606\) 199193. + 280445.i 0.542411 + 0.763664i
\(607\) −59466.9 + 34333.2i −0.161398 + 0.0931831i −0.578523 0.815666i \(-0.696371\pi\)
0.417126 + 0.908849i \(0.363038\pi\)
\(608\) −36526.5 + 28908.2i −0.0988100 + 0.0782014i
\(609\) 35672.9 + 126797.i 0.0961841 + 0.341880i
\(610\) 228225. + 41591.4i 0.613344 + 0.111775i
\(611\) 106942.i 0.286461i
\(612\) −240374. 278767.i −0.641779 0.744284i
\(613\) −572114. −1.52252 −0.761258 0.648450i \(-0.775418\pi\)
−0.761258 + 0.648450i \(0.775418\pi\)
\(614\) −88529.3 + 485788.i −0.234828 + 1.28858i
\(615\) −187203. 182599.i −0.494951 0.482778i
\(616\) 2874.39 167274.i 0.00757504 0.440825i
\(617\) −10190.4 17650.3i −0.0267684 0.0463642i 0.852331 0.523003i \(-0.175188\pi\)
−0.879099 + 0.476639i \(0.841855\pi\)
\(618\) 38866.0 + 412296.i 0.101764 + 1.07952i
\(619\) −388604. 224361.i −1.01421 0.585552i −0.101786 0.994806i \(-0.532456\pi\)
−0.912420 + 0.409254i \(0.865789\pi\)
\(620\) −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
\(624\) 77025.5 + 36903.2i 0.197818 + 0.0947752i
\(625\) −88627.6 153508.i −0.226887 0.392979i
\(626\) −135610. + 159747.i −0.346053 + 0.407646i
\(627\) 64297.8 + 62716.3i 0.163554 + 0.159531i
\(628\) 14340.3 + 87154.1i 0.0363612 + 0.220988i
\(629\) −432079. −1.09210
\(630\) −26744.3 + 33142.8i −0.0673829 + 0.0835042i
\(631\) 402529.i 1.01097i 0.862835 + 0.505486i \(0.168687\pi\)
−0.862835 + 0.505486i \(0.831313\pi\)
\(632\) 232369. + 418937.i 0.581760 + 1.04885i
\(633\) −113316. 402775.i −0.282804 1.00521i
\(634\) −67298.3 + 79276.4i −0.167427 + 0.197227i
\(635\) 253646. 146443.i 0.629043 0.363178i
\(636\) 116716. 167042.i 0.288547 0.412963i
\(637\) 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 \(0.308348\pi\)
\(642\) 216098. + 99004.8i 0.524301 + 0.240207i
\(643\) 227886. 131570.i 0.551184 0.318226i −0.198415 0.980118i \(-0.563580\pi\)
0.749599 + 0.661892i \(0.230246\pi\)
\(644\) 35906.8 + 13536.8i 0.0865775 + 0.0326395i
\(645\) −3844.63 979.028i −0.00924134 0.00235329i
\(646\) −9265.58 + 50843.2i −0.0222028 + 0.121834i
\(647\) 265174.i 0.633464i −0.948515 0.316732i \(-0.897414\pi\)
0.948515 0.316732i \(-0.102586\pi\)
\(648\) −13694.8 419681.i −0.0326142 0.999468i
\(649\) 621494. 1.47553
\(650\) −73420.8 13380.1i −0.173777 0.0316689i
\(651\) −40085.5 + 157415.i −0.0945856 + 0.371436i
\(652\) 2298.77 6097.57i 0.00540754 0.0143437i
\(653\) 2938.96 + 5090.43i 0.00689235 + 0.0119379i 0.869451 0.494019i \(-0.164473\pi\)
−0.862559 + 0.505957i \(0.831139\pi\)
\(654\) −180614. + 394225.i −0.422274 + 0.921699i
\(655\) −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 −0.168242 0.985746i \(-0.553809\pi\)
−0.937802 + 0.347171i \(0.887142\pi\)
\(660\) 285679. + 199611.i 0.655829 + 0.458244i
\(661\) 410614. + 711204.i 0.939789 + 1.62776i 0.765863 + 0.643004i \(0.222312\pi\)
0.173926 + 0.984759i \(0.444355\pi\)
\(662\) 131829. + 111910.i 0.300812 + 0.255361i
\(663\) 91216.8 25662.8i 0.207514 0.0583818i
\(664\) −34653.7 62477.0i −0.0785984 0.141705i
\(665\) 5979.36 0.0135211
\(666\) −383588. 309532.i −0.864801 0.697842i
\(667\) 247241.i 0.555736i
\(668\) 374845. 61676.8i 0.840039 0.138219i
\(669\) 519065. 532153.i 1.15976 1.18901i
\(670\) −31304.9 26574.9i −0.0697368 0.0592001i
\(671\) −998855. + 576689.i −2.21849 + 1.28085i
\(672\) 109223. + 11339.9i 0.241867 + 0.0251114i
\(673\) −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 \(-0.104961\pi\)
\(678\) 133712. 12604.7i 0.290879 0.0274204i
\(679\) 124307. 71768.4i 0.269621 0.155666i
\(680\) −3445.26 + 200495.i −0.00745083 + 0.433597i
\(681\) −186652. + 191358.i −0.402474 + 0.412623i
\(682\) 1.30774e6 + 238321.i 2.81160 + 0.512382i
\(683\) 764551.i 1.63895i −0.573117 0.819474i \(-0.694266\pi\)
0.573117 0.819474i \(-0.305734\pi\)
\(684\) −44648.7 + 38499.5i −0.0954325 + 0.0822892i
\(685\) 284757. 0.606868
\(686\) 39819.4 218502.i 0.0846148 0.464308i
\(687\) −392775. + 110503.i −0.832204 + 0.234131i
\(688\) 3277.60 + 9690.27i 0.00692435 + 0.0204719i
\(689\) 26229.4 + 45430.7i 0.0552523 + 0.0956998i
\(690\) −65171.8 + 46289.8i −0.136887 + 0.0972271i
\(691\) −278107. 160565.i −0.582445 0.336275i 0.179659 0.983729i \(-0.442500\pi\)
−0.762105 + 0.647454i \(0.775834\pi\)
\(692\) 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
\(696\) 179880. + 684255.i 0.371334 + 1.41254i
\(697\) 374048. + 647870.i 0.769949 + 1.33359i
\(698\) 310579. 365858.i 0.637472 0.750933i
\(699\) 113116. 444205.i 0.231510 0.909137i
\(700\) −94678.2 + 15578.3i −0.193221 + 0.0317925i
\(701\) −621799. −1.26536 −0.632680 0.774413i \(-0.718045\pi\)
−0.632680 + 0.774413i \(0.718045\pi\)
\(702\) 99364.0 + 42563.0i 0.201630 + 0.0863690i
\(703\) 69203.8i 0.140029i
\(704\) 30873.9 898079.i 0.0622940 1.81205i
\(705\) −277563. 70680.9i −0.558448 0.142208i
\(706\) 400616. 471920.i 0.803745 0.946801i
\(707\) −98598.6 + 56925.9i −0.197257 + 0.113886i
\(708\) −35149.0 + 406415.i −0.0701207 + 0.810781i
\(709\) 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
\(714\) 99325.0 70548.0i 0.194833 0.138385i
\(715\) −77696.8 + 44858.2i −0.151982 + 0.0877466i
\(716\) −258184. + 684843.i −0.503620 + 1.33587i
\(717\) −89912.4 319588.i −0.174897 0.621658i
\(718\) −47933.5 + 263026.i −0.0929801 + 0.510211i
\(719\) 348658.i 0.674438i −0.941426 0.337219i \(-0.890514\pi\)
0.941426 0.337219i \(-0.109486\pi\)
\(720\) −146689. + 175526.i −0.282965 + 0.338591i
\(721\) −137065. −0.263668
\(722\) −504694. 91974.7i −0.968175 0.176439i
\(723\) 54036.7 + 52707.6i 0.103374 + 0.100832i
\(724\) −362701. 136737.i −0.691944 0.260861i
\(725\) −309106. 535387.i −0.588073 1.01857i
\(726\) −1.20031e6 + 113150.i −2.27730 + 0.214675i
\(727\) −523789. 302410.i −0.991032 0.572173i −0.0854497 0.996342i \(-0.527233\pi\)
−0.905583 + 0.424170i \(0.860566\pi\)
\(728\) −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
\(732\) −320625. 685799.i −0.598378 1.27990i
\(733\) 237805. + 411891.i 0.442602 + 0.766609i 0.997882 0.0650546i \(-0.0207222\pi\)
−0.555280 + 0.831664i \(0.687389\pi\)
\(734\) −288386. 244813.i −0.535282 0.454404i
\(735\) 160556. + 156607.i 0.297203 + 0.289893i
\(736\) 191589. + 76013.1i 0.353683 + 0.140324i
\(737\) 204160. 0.375868
\(738\) −132051. + 843121.i −0.242453 + 1.54802i
\(739\) 844449.i 1.54627i 0.634244 + 0.773133i \(0.281312\pi\)
−0.634244 + 0.773133i \(0.718688\pi\)
\(740\) 43595.3 + 264954.i 0.0796116 + 0.483845i
\(741\) −4110.28 14609.7i −0.00748574 0.0266076i
\(742\) 51417.4 + 43648.6i 0.0933905 + 0.0792798i
\(743\) 537216. 310162.i 0.973131 0.561837i 0.0729415 0.997336i \(-0.476761\pi\)
0.900189 + 0.435499i \(0.143428\pi\)
\(744\) −229806. + 841699.i −0.415161 + 1.52059i
\(745\) −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
\(750\) 186637. 407373.i 0.331799 0.724218i
\(751\) 632847. 365374.i 1.12207 0.647825i 0.180139 0.983641i \(-0.442345\pi\)
0.941928 + 0.335816i \(0.109012\pi\)
\(752\) 236626. + 699589.i 0.418434 + 1.23711i
\(753\) 12868.5 + 3276.95i 0.0226955 + 0.00577936i
\(754\) −179182. 32653.9i −0.315176 0.0574371i
\(755\) 313247.i 0.549533i
\(756\) 138717. + 8523.71i 0.242709 + 0.0149137i
\(757\) −769023. −1.34198 −0.670992 0.741465i \(-0.734132\pi\)
−0.670992 + 0.741465i \(0.734132\pi\)
\(758\) 36711.5 201447.i 0.0638945 0.350609i
\(759\) 98076.6 385145.i 0.170248 0.668560i
\(760\) 32112.2 + 551.810i 0.0555960 + 0.000955349i
\(761\) −137697. 238498.i −0.237769 0.411828i 0.722305 0.691575i \(-0.243083\pi\)
−0.960074 + 0.279747i \(0.909749\pi\)
\(762\) −868935. 398101.i −1.49650 0.685620i
\(763\) −124293. 71760.8i