Properties

Label 11.5.d.a.8.1
Level 11
Weight 5
Character 11.8
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 8.1
Root \(-6.10049i\)
Character \(\chi\) = 11.8
Dual form 11.5.d.a.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.46775 - 3.39656i) q^{2} +(-2.26281 - 6.96422i) q^{3} +(-0.502581 + 1.54679i) q^{4} +(14.7329 + 10.7041i) q^{5} +(-18.0704 + 24.8717i) q^{6} +(47.9990 + 15.5958i) q^{7} +(-57.3923 + 18.6479i) q^{8} +(22.1503 - 16.0931i) q^{9} +O(q^{10})\) \(q+(-2.46775 - 3.39656i) q^{2} +(-2.26281 - 6.96422i) q^{3} +(-0.502581 + 1.54679i) q^{4} +(14.7329 + 10.7041i) q^{5} +(-18.0704 + 24.8717i) q^{6} +(47.9990 + 15.5958i) q^{7} +(-57.3923 + 18.6479i) q^{8} +(22.1503 - 16.0931i) q^{9} -76.4560i q^{10} +(-82.9397 - 88.1022i) q^{11} +11.9094 q^{12} +(125.766 + 173.103i) q^{13} +(-65.4772 - 201.518i) q^{14} +(41.2077 - 126.824i) q^{15} +(226.021 + 164.214i) q^{16} +(-255.614 + 351.822i) q^{17} +(-109.323 - 35.5210i) q^{18} +(-61.3806 + 19.9438i) q^{19} +(-23.9614 + 17.4089i) q^{20} -369.566i q^{21} +(-94.5704 + 499.124i) q^{22} +536.875 q^{23} +(259.736 + 357.496i) q^{24} +(-90.6549 - 279.007i) q^{25} +(277.594 - 854.346i) q^{26} +(-642.052 - 466.478i) q^{27} +(-48.2468 + 66.4060i) q^{28} +(-481.802 - 156.547i) q^{29} +(-532.457 + 173.006i) q^{30} +(192.037 - 139.523i) q^{31} -207.397i q^{32} +(-425.887 + 776.970i) q^{33} +1825.78 q^{34} +(540.225 + 743.556i) q^{35} +(13.7603 + 42.3498i) q^{36} +(-718.836 + 2212.35i) q^{37} +(219.212 + 159.267i) q^{38} +(920.939 - 1267.56i) q^{39} +(-1045.16 - 339.594i) q^{40} +(-100.981 + 32.8108i) q^{41} +(-1255.25 + 911.995i) q^{42} -2058.95i q^{43} +(177.959 - 84.0114i) q^{44} +498.599 q^{45} +(-1324.87 - 1823.53i) q^{46} +(17.8846 + 55.0431i) q^{47} +(632.178 - 1945.64i) q^{48} +(118.225 + 85.8952i) q^{49} +(-723.951 + 996.433i) q^{50} +(3028.58 + 984.044i) q^{51} +(-330.960 + 107.536i) q^{52} +(926.358 - 673.039i) q^{53} +3331.92i q^{54} +(-278.889 - 2185.79i) q^{55} -3045.60 q^{56} +(277.786 + 382.340i) q^{57} +(657.244 + 2022.79i) q^{58} +(-596.473 + 1835.75i) q^{59} +(175.460 + 127.479i) q^{60} +(-375.548 + 516.897i) q^{61} +(-947.795 - 307.957i) q^{62} +(1314.18 - 427.002i) q^{63} +(2911.90 - 2115.62i) q^{64} +3896.51i q^{65} +(3690.00 - 470.814i) q^{66} -8692.22 q^{67} +(-415.727 - 572.199i) q^{68} +(-1214.85 - 3738.92i) q^{69} +(1192.39 - 3669.81i) q^{70} +(1518.36 + 1103.16i) q^{71} +(-971.154 + 1336.68i) q^{72} +(2334.33 + 758.471i) q^{73} +(9288.28 - 3017.94i) q^{74} +(-1737.93 + 1262.68i) q^{75} -104.966i q^{76} +(-2607.00 - 5522.33i) q^{77} -6578.00 q^{78} +(-2255.51 - 3104.44i) q^{79} +(1572.18 + 4838.68i) q^{80} +(-1110.50 + 3417.77i) q^{81} +(360.640 + 262.020i) q^{82} +(4351.57 - 5989.42i) q^{83} +(571.640 + 185.737i) q^{84} +(-7531.86 + 2447.25i) q^{85} +(-6993.34 + 5080.96i) q^{86} +3709.62i q^{87} +(6403.03 + 3509.74i) q^{88} +11104.2 q^{89} +(-1230.42 - 1693.52i) q^{90} +(3336.98 + 10270.2i) q^{91} +(-269.823 + 830.430i) q^{92} +(-1406.21 - 1021.67i) q^{93} +(142.823 - 196.578i) q^{94} +(-1117.79 - 363.193i) q^{95} +(-1444.36 + 469.300i) q^{96} +(9943.57 - 7224.43i) q^{97} -613.524i q^{98} +(-3254.98 - 616.730i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.46775 3.39656i −0.616936 0.849140i 0.380189 0.924909i \(-0.375859\pi\)
−0.997125 + 0.0757688i \(0.975859\pi\)
\(3\) −2.26281 6.96422i −0.251424 0.773803i −0.994513 0.104611i \(-0.966640\pi\)
0.743090 0.669192i \(-0.233360\pi\)
\(4\) −0.502581 + 1.54679i −0.0314113 + 0.0966741i
\(5\) 14.7329 + 10.7041i 0.589315 + 0.428163i 0.842070 0.539368i \(-0.181337\pi\)
−0.252755 + 0.967530i \(0.581337\pi\)
\(6\) −18.0704 + 24.8717i −0.501954 + 0.690881i
\(7\) 47.9990 + 15.5958i 0.979571 + 0.318282i 0.754674 0.656100i \(-0.227795\pi\)
0.224898 + 0.974382i \(0.427795\pi\)
\(8\) −57.3923 + 18.6479i −0.896755 + 0.291373i
\(9\) 22.1503 16.0931i 0.273460 0.198681i
\(10\) 76.4560i 0.764560i
\(11\) −82.9397 88.1022i −0.685452 0.728118i
\(12\) 11.9094 0.0827042
\(13\) 125.766 + 173.103i 0.744180 + 1.02428i 0.998367 + 0.0571206i \(0.0181919\pi\)
−0.254188 + 0.967155i \(0.581808\pi\)
\(14\) −65.4772 201.518i −0.334067 1.02815i
\(15\) 41.2077 126.824i 0.183146 0.563664i
\(16\) 226.021 + 164.214i 0.882894 + 0.641460i
\(17\) −255.614 + 351.822i −0.884477 + 1.21738i 0.0906838 + 0.995880i \(0.471095\pi\)
−0.975161 + 0.221498i \(0.928905\pi\)
\(18\) −109.323 35.5210i −0.337415 0.109633i
\(19\) −61.3806 + 19.9438i −0.170029 + 0.0552459i −0.392795 0.919626i \(-0.628492\pi\)
0.222765 + 0.974872i \(0.428492\pi\)
\(20\) −23.9614 + 17.4089i −0.0599034 + 0.0435224i
\(21\) 369.566i 0.838019i
\(22\) −94.5704 + 499.124i −0.195393 + 1.03125i
\(23\) 536.875 1.01489 0.507443 0.861685i \(-0.330591\pi\)
0.507443 + 0.861685i \(0.330591\pi\)
\(24\) 259.736 + 357.496i 0.450931 + 0.620653i
\(25\) −90.6549 279.007i −0.145048 0.446411i
\(26\) 277.594 854.346i 0.410642 1.26383i
\(27\) −642.052 466.478i −0.880730 0.639888i
\(28\) −48.2468 + 66.4060i −0.0615393 + 0.0847015i
\(29\) −481.802 156.547i −0.572892 0.186144i 0.00822167 0.999966i \(-0.497383\pi\)
−0.581114 + 0.813822i \(0.697383\pi\)
\(30\) −532.457 + 173.006i −0.591619 + 0.192229i
\(31\) 192.037 139.523i 0.199830 0.145185i −0.483370 0.875416i \(-0.660588\pi\)
0.683200 + 0.730231i \(0.260588\pi\)
\(32\) 207.397i 0.202536i
\(33\) −425.887 + 776.970i −0.391080 + 0.713471i
\(34\) 1825.78 1.57939
\(35\) 540.225 + 743.556i 0.441000 + 0.606984i
\(36\) 13.7603 + 42.3498i 0.0106175 + 0.0326773i
\(37\) −718.836 + 2212.35i −0.525081 + 1.61603i 0.239075 + 0.971001i \(0.423156\pi\)
−0.764156 + 0.645032i \(0.776844\pi\)
\(38\) 219.212 + 159.267i 0.151809 + 0.110296i
\(39\) 920.939 1267.56i 0.605483 0.833375i
\(40\) −1045.16 339.594i −0.653227 0.212246i
\(41\) −100.981 + 32.8108i −0.0600721 + 0.0195186i −0.338899 0.940823i \(-0.610054\pi\)
0.278827 + 0.960341i \(0.410054\pi\)
\(42\) −1255.25 + 911.995i −0.711595 + 0.517004i
\(43\) 2058.95i 1.11355i −0.830664 0.556773i \(-0.812039\pi\)
0.830664 0.556773i \(-0.187961\pi\)
\(44\) 177.959 84.0114i 0.0919211 0.0433943i
\(45\) 498.599 0.246222
\(46\) −1324.87 1823.53i −0.626120 0.861780i
\(47\) 17.8846 + 55.0431i 0.00809624 + 0.0249177i 0.955023 0.296532i \(-0.0958300\pi\)
−0.946927 + 0.321449i \(0.895830\pi\)
\(48\) 632.178 1945.64i 0.274383 0.844464i
\(49\) 118.225 + 85.8952i 0.0492397 + 0.0357748i
\(50\) −723.951 + 996.433i −0.289580 + 0.398573i
\(51\) 3028.58 + 984.044i 1.16439 + 0.378333i
\(52\) −330.960 + 107.536i −0.122397 + 0.0397691i
\(53\) 926.358 673.039i 0.329782 0.239601i −0.410556 0.911835i \(-0.634665\pi\)
0.740338 + 0.672235i \(0.234665\pi\)
\(54\) 3331.92i 1.14263i
\(55\) −278.889 2185.79i −0.0921948 0.722576i
\(56\) −3045.60 −0.971175
\(57\) 277.786 + 382.340i 0.0854989 + 0.117679i
\(58\) 657.244 + 2022.79i 0.195376 + 0.601305i
\(59\) −596.473 + 1835.75i −0.171351 + 0.527364i −0.999448 0.0332206i \(-0.989424\pi\)
0.828097 + 0.560585i \(0.189424\pi\)
\(60\) 175.460 + 127.479i 0.0487389 + 0.0354108i
\(61\) −375.548 + 516.897i −0.100927 + 0.138913i −0.856493 0.516158i \(-0.827362\pi\)
0.755567 + 0.655072i \(0.227362\pi\)
\(62\) −947.795 307.957i −0.246565 0.0801138i
\(63\) 1314.18 427.002i 0.331110 0.107584i
\(64\) 2911.90 2115.62i 0.710912 0.516508i
\(65\) 3896.51i 0.922251i
\(66\) 3690.00 470.814i 0.847108 0.108084i
\(67\) −8692.22 −1.93634 −0.968169 0.250298i \(-0.919471\pi\)
−0.968169 + 0.250298i \(0.919471\pi\)
\(68\) −415.727 572.199i −0.0899063 0.123745i
\(69\) −1214.85 3738.92i −0.255166 0.785322i
\(70\) 1192.39 3669.81i 0.243346 0.748941i
\(71\) 1518.36 + 1103.16i 0.301203 + 0.218837i 0.728113 0.685457i \(-0.240398\pi\)
−0.426910 + 0.904294i \(0.640398\pi\)
\(72\) −971.154 + 1336.68i −0.187337 + 0.257847i
\(73\) 2334.33 + 758.471i 0.438043 + 0.142329i 0.519733 0.854329i \(-0.326032\pi\)
−0.0816893 + 0.996658i \(0.526032\pi\)
\(74\) 9288.28 3017.94i 1.69618 0.551122i
\(75\) −1737.93 + 1262.68i −0.308966 + 0.224477i
\(76\) 104.966i 0.0181728i
\(77\) −2607.00 5522.33i −0.439703 0.931410i
\(78\) −6578.00 −1.08120
\(79\) −2255.51 3104.44i −0.361401 0.497426i 0.589137 0.808033i \(-0.299468\pi\)
−0.950539 + 0.310607i \(0.899468\pi\)
\(80\) 1572.18 + 4838.68i 0.245654 + 0.756044i
\(81\) −1110.50 + 3417.77i −0.169258 + 0.520922i
\(82\) 360.640 + 262.020i 0.0536347 + 0.0389679i
\(83\) 4351.57 5989.42i 0.631669 0.869418i −0.366468 0.930431i \(-0.619433\pi\)
0.998137 + 0.0610127i \(0.0194330\pi\)
\(84\) 571.640 + 185.737i 0.0810147 + 0.0263233i
\(85\) −7531.86 + 2447.25i −1.04247 + 0.338720i
\(86\) −6993.34 + 5080.96i −0.945557 + 0.686987i
\(87\) 3709.62i 0.490107i
\(88\) 6403.03 + 3509.74i 0.826837 + 0.453221i
\(89\) 11104.2 1.40187 0.700937 0.713223i \(-0.252765\pi\)
0.700937 + 0.713223i \(0.252765\pi\)
\(90\) −1230.42 1693.52i −0.151903 0.209077i
\(91\) 3336.98 + 10270.2i 0.402969 + 1.24021i
\(92\) −269.823 + 830.430i −0.0318789 + 0.0981132i
\(93\) −1406.21 1021.67i −0.162587 0.118126i
\(94\) 142.823 196.578i 0.0161637 0.0222475i
\(95\) −1117.79 363.193i −0.123855 0.0402430i
\(96\) −1444.36 + 469.300i −0.156723 + 0.0509223i
\(97\) 9943.57 7224.43i 1.05682 0.767821i 0.0833186 0.996523i \(-0.473448\pi\)
0.973497 + 0.228702i \(0.0734481\pi\)
\(98\) 613.524i 0.0638822i
\(99\) −3254.98 616.730i −0.332107 0.0629252i
\(100\) 477.125 0.0477125
\(101\) −4980.55 6855.14i −0.488241 0.672006i 0.491821 0.870696i \(-0.336331\pi\)
−0.980062 + 0.198690i \(0.936331\pi\)
\(102\) −4131.39 12715.1i −0.397096 1.22214i
\(103\) −3982.66 + 12257.4i −0.375404 + 1.15537i 0.567802 + 0.823165i \(0.307794\pi\)
−0.943206 + 0.332209i \(0.892206\pi\)
\(104\) −10446.0 7589.48i −0.965794 0.701690i
\(105\) 3955.86 5444.77i 0.358808 0.493857i
\(106\) −4572.03 1485.54i −0.406909 0.132213i
\(107\) −3063.72 + 995.464i −0.267597 + 0.0869477i −0.439742 0.898124i \(-0.644930\pi\)
0.172145 + 0.985072i \(0.444930\pi\)
\(108\) 1044.22 758.674i 0.0895254 0.0650440i
\(109\) 14090.5i 1.18597i −0.805215 0.592983i \(-0.797950\pi\)
0.805215 0.592983i \(-0.202050\pi\)
\(110\) −6735.94 + 6341.24i −0.556690 + 0.524069i
\(111\) 17033.9 1.38251
\(112\) 8287.72 + 11407.1i 0.660692 + 0.909365i
\(113\) 461.161 + 1419.31i 0.0361157 + 0.111153i 0.967489 0.252913i \(-0.0813885\pi\)
−0.931373 + 0.364065i \(0.881389\pi\)
\(114\) 613.134 1887.03i 0.0471787 0.145201i
\(115\) 7909.71 + 5746.74i 0.598088 + 0.434536i
\(116\) 484.289 666.567i 0.0359906 0.0495368i
\(117\) 5571.52 + 1810.30i 0.407007 + 0.132245i
\(118\) 7707.19 2504.22i 0.553519 0.179849i
\(119\) −17756.2 + 12900.6i −1.25388 + 0.910996i
\(120\) 8047.19i 0.558832i
\(121\) −883.004 + 14614.3i −0.0603104 + 0.998180i
\(122\) 2682.43 0.180222
\(123\) 457.003 + 629.011i 0.0302071 + 0.0415765i
\(124\) 119.298 + 367.161i 0.00775871 + 0.0238788i
\(125\) 5168.06 15905.7i 0.330756 1.01796i
\(126\) −4693.39 3409.95i −0.295628 0.214786i
\(127\) −10211.8 + 14055.4i −0.633134 + 0.871435i −0.998226 0.0595368i \(-0.981038\pi\)
0.365092 + 0.930972i \(0.381038\pi\)
\(128\) −17527.6 5695.05i −1.06980 0.347599i
\(129\) −14339.0 + 4659.02i −0.861665 + 0.279972i
\(130\) 13234.7 9615.60i 0.783120 0.568970i
\(131\) 18372.1i 1.07057i −0.844671 0.535285i \(-0.820204\pi\)
0.844671 0.535285i \(-0.179796\pi\)
\(132\) −987.763 1049.25i −0.0566898 0.0602184i
\(133\) −3257.25 −0.184140
\(134\) 21450.2 + 29523.6i 1.19460 + 1.64422i
\(135\) −4466.06 13745.1i −0.245052 0.754191i
\(136\) 8109.53 24958.6i 0.438448 1.34940i
\(137\) 17181.8 + 12483.3i 0.915434 + 0.665102i 0.942383 0.334535i \(-0.108579\pi\)
−0.0269489 + 0.999637i \(0.508579\pi\)
\(138\) −9701.52 + 13353.0i −0.509427 + 0.701165i
\(139\) −3870.52 1257.61i −0.200327 0.0650901i 0.207135 0.978312i \(-0.433586\pi\)
−0.407462 + 0.913222i \(0.633586\pi\)
\(140\) −1421.63 + 461.915i −0.0725320 + 0.0235671i
\(141\) 342.863 249.105i 0.0172458 0.0125298i
\(142\) 7879.53i 0.390772i
\(143\) 4819.69 25437.4i 0.235693 1.24394i
\(144\) 7649.14 0.368882
\(145\) −5422.65 7463.63i −0.257914 0.354988i
\(146\) −3184.35 9800.42i −0.149388 0.459768i
\(147\) 330.673 1017.71i 0.0153026 0.0470965i
\(148\) −3060.76 2223.77i −0.139735 0.101523i
\(149\) −10578.8 + 14560.5i −0.476503 + 0.655850i −0.977828 0.209409i \(-0.932846\pi\)
0.501325 + 0.865259i \(0.332846\pi\)
\(150\) 8577.55 + 2787.01i 0.381224 + 0.123867i
\(151\) −8398.18 + 2728.73i −0.368325 + 0.119676i −0.487331 0.873218i \(-0.662029\pi\)
0.119006 + 0.992894i \(0.462029\pi\)
\(152\) 3150.87 2289.24i 0.136378 0.0990842i
\(153\) 11906.6i 0.508633i
\(154\) −12323.5 + 22482.5i −0.519629 + 0.947990i
\(155\) 4322.71 0.179926
\(156\) 1497.80 + 2061.55i 0.0615468 + 0.0847119i
\(157\) −5990.27 18436.1i −0.243023 0.747947i −0.995955 0.0898493i \(-0.971361\pi\)
0.752933 0.658098i \(-0.228639\pi\)
\(158\) −4978.39 + 15321.9i −0.199423 + 0.613761i
\(159\) −6783.37 4928.40i −0.268319 0.194945i
\(160\) 2219.99 3055.55i 0.0867183 0.119357i
\(161\) 25769.5 + 8373.00i 0.994153 + 0.323020i
\(162\) 14349.1 4662.30i 0.546757 0.177652i
\(163\) 3687.37 2679.03i 0.138785 0.100833i −0.516227 0.856452i \(-0.672664\pi\)
0.655011 + 0.755619i \(0.272664\pi\)
\(164\) 172.686i 0.00642052i
\(165\) −14591.3 + 6888.29i −0.535951 + 0.253013i
\(166\) −31082.0 −1.12796
\(167\) 7251.30 + 9980.56i 0.260006 + 0.357867i 0.918984 0.394295i \(-0.129011\pi\)
−0.658978 + 0.752162i \(0.729011\pi\)
\(168\) 6891.63 + 21210.3i 0.244176 + 0.751498i
\(169\) −5321.48 + 16377.8i −0.186320 + 0.573434i
\(170\) 26898.9 + 19543.2i 0.930759 + 0.676236i
\(171\) −1038.64 + 1429.57i −0.0355200 + 0.0488891i
\(172\) 3184.75 + 1034.79i 0.107651 + 0.0349780i
\(173\) 653.072 212.196i 0.0218207 0.00708998i −0.298086 0.954539i \(-0.596348\pi\)
0.319907 + 0.947449i \(0.396348\pi\)
\(174\) 12599.9 9154.39i 0.416169 0.302365i
\(175\) 14805.9i 0.483458i
\(176\) −4278.51 33532.8i −0.138123 1.08254i
\(177\) 14134.3 0.451158
\(178\) −27402.4 37716.2i −0.864867 1.19039i
\(179\) 4275.10 + 13157.4i 0.133426 + 0.410643i 0.995342 0.0964086i \(-0.0307355\pi\)
−0.861916 + 0.507051i \(0.830736\pi\)
\(180\) −250.587 + 771.226i −0.00773415 + 0.0238033i
\(181\) −16520.5 12002.8i −0.504272 0.366375i 0.306374 0.951911i \(-0.400884\pi\)
−0.810647 + 0.585536i \(0.800884\pi\)
\(182\) 26648.5 36678.5i 0.804506 1.10731i
\(183\) 4449.58 + 1445.76i 0.132867 + 0.0431711i
\(184\) −30812.5 + 10011.6i −0.910105 + 0.295711i
\(185\) −34271.6 + 24899.8i −1.00136 + 0.727533i
\(186\) 7297.51i 0.210935i
\(187\) 52196.9 6659.89i 1.49266 0.190451i
\(188\) −94.1283 −0.00266321
\(189\) −23542.7 32403.8i −0.659073 0.907136i
\(190\) 1524.82 + 4692.92i 0.0422388 + 0.129998i
\(191\) −2265.94 + 6973.85i −0.0621130 + 0.191164i −0.977298 0.211870i \(-0.932045\pi\)
0.915185 + 0.403034i \(0.132045\pi\)
\(192\) −21322.7 15491.9i −0.578416 0.420244i
\(193\) 21150.0 29110.5i 0.567801 0.781511i −0.424491 0.905432i \(-0.639547\pi\)
0.992292 + 0.123921i \(0.0395470\pi\)
\(194\) −49076.4 15945.9i −1.30398 0.423687i
\(195\) 27136.2 8817.08i 0.713640 0.231876i
\(196\) −192.279 + 139.699i −0.00500518 + 0.00363647i
\(197\) 39661.5i 1.02197i 0.859591 + 0.510983i \(0.170718\pi\)
−0.859591 + 0.510983i \(0.829282\pi\)
\(198\) 5937.70 + 12577.7i 0.151456 + 0.320826i
\(199\) 8985.83 0.226909 0.113455 0.993543i \(-0.463808\pi\)
0.113455 + 0.993543i \(0.463808\pi\)
\(200\) 10405.8 + 14322.3i 0.260145 + 0.358058i
\(201\) 19668.9 + 60534.6i 0.486841 + 1.49834i
\(202\) −10993.2 + 33833.5i −0.269414 + 0.829170i
\(203\) −20684.6 15028.2i −0.501943 0.364683i
\(204\) −3044.21 + 4189.99i −0.0731500 + 0.100682i
\(205\) −1838.95 597.512i −0.0437586 0.0142180i
\(206\) 51461.1 16720.7i 1.21267 0.394022i
\(207\) 11891.9 8639.99i 0.277531 0.201638i
\(208\) 59777.3i 1.38169i
\(209\) 6847.99 + 3753.64i 0.156773 + 0.0859330i
\(210\) −28255.6 −0.640716
\(211\) 4141.35 + 5700.08i 0.0930202 + 0.128031i 0.852990 0.521927i \(-0.174787\pi\)
−0.759970 + 0.649958i \(0.774787\pi\)
\(212\) 575.476 + 1771.13i 0.0128043 + 0.0394076i
\(213\) 4246.85 13070.5i 0.0936069 0.288093i
\(214\) 10941.6 + 7949.57i 0.238921 + 0.173586i
\(215\) 22039.1 30334.2i 0.476779 0.656230i
\(216\) 45547.7 + 14799.3i 0.976245 + 0.317201i
\(217\) 11393.5 3701.99i 0.241958 0.0786168i
\(218\) −47859.1 + 34771.7i −1.00705 + 0.731665i
\(219\) 17973.1i 0.374744i
\(220\) 3521.11 + 667.156i 0.0727503 + 0.0137842i
\(221\) −93049.0 −1.90514
\(222\) −42035.3 57856.6i −0.852920 1.17394i
\(223\) −3954.30 12170.1i −0.0795170 0.244728i 0.903393 0.428813i \(-0.141068\pi\)
−0.982910 + 0.184085i \(0.941068\pi\)
\(224\) 3234.52 9954.83i 0.0644635 0.198398i
\(225\) −6498.12 4721.16i −0.128358 0.0932575i
\(226\) 3682.74 5068.85i 0.0721031 0.0992414i
\(227\) −53534.9 17394.5i −1.03893 0.337568i −0.260613 0.965443i \(-0.583925\pi\)
−0.778314 + 0.627876i \(0.783925\pi\)
\(228\) −731.007 + 237.519i −0.0140622 + 0.00456907i
\(229\) 72710.1 52827.0i 1.38651 1.00736i 0.390275 0.920698i \(-0.372380\pi\)
0.996238 0.0866626i \(-0.0276202\pi\)
\(230\) 41047.3i 0.775941i
\(231\) −32559.6 + 30651.7i −0.610176 + 0.574422i
\(232\) 30571.0 0.567982
\(233\) 14585.7 + 20075.5i 0.268668 + 0.369790i 0.921939 0.387334i \(-0.126604\pi\)
−0.653272 + 0.757124i \(0.726604\pi\)
\(234\) −7600.31 23391.4i −0.138803 0.427193i
\(235\) −325.693 + 1002.38i −0.00589757 + 0.0181509i
\(236\) −2539.74 1845.23i −0.0456001 0.0331304i
\(237\) −16516.2 + 22732.6i −0.294045 + 0.404718i
\(238\) 87635.4 + 28474.5i 1.54713 + 0.502692i
\(239\) 31899.0 10364.6i 0.558445 0.181450i −0.0161762 0.999869i \(-0.505149\pi\)
0.574622 + 0.818419i \(0.305149\pi\)
\(240\) 30140.1 21898.1i 0.523266 0.380175i
\(241\) 71818.0i 1.23651i 0.785976 + 0.618257i \(0.212161\pi\)
−0.785976 + 0.618257i \(0.787839\pi\)
\(242\) 51817.5 33065.3i 0.884802 0.564601i
\(243\) −37968.2 −0.642996
\(244\) −610.786 840.674i −0.0102591 0.0141204i
\(245\) 822.361 + 2530.97i 0.0137003 + 0.0421652i
\(246\) 1008.71 3104.48i 0.0166684 0.0513001i
\(247\) −11171.9 8116.89i −0.183120 0.133044i
\(248\) −8419.63 + 11588.6i −0.136896 + 0.188421i
\(249\) −51558.5 16752.4i −0.831575 0.270195i
\(250\) −66778.0 + 21697.5i −1.06845 + 0.347160i
\(251\) −38944.7 + 28295.0i −0.618160 + 0.449120i −0.852278 0.523089i \(-0.824780\pi\)
0.234118 + 0.972208i \(0.424780\pi\)
\(252\) 2247.35i 0.0353892i
\(253\) −44528.2 47299.9i −0.695656 0.738956i
\(254\) 72940.1 1.13057
\(255\) 34086.4 + 46915.9i 0.524204 + 0.721505i
\(256\) 6114.07 + 18817.2i 0.0932933 + 0.287127i
\(257\) 7798.62 24001.7i 0.118073 0.363392i −0.874502 0.485021i \(-0.838812\pi\)
0.992576 + 0.121629i \(0.0388119\pi\)
\(258\) 51209.6 + 37205.9i 0.769328 + 0.558950i
\(259\) −69006.8 + 94979.7i −1.02871 + 1.41590i
\(260\) −6027.07 1958.31i −0.0891578 0.0289691i
\(261\) −13191.4 + 4286.14i −0.193646 + 0.0629196i
\(262\) −62401.8 + 45337.6i −0.909064 + 0.660474i
\(263\) 73780.1i 1.06666i −0.845906 0.533332i \(-0.820940\pi\)
0.845906 0.533332i \(-0.179060\pi\)
\(264\) 9953.77 52534.0i 0.142817 0.753759i
\(265\) 20852.2 0.296934
\(266\) 8038.06 + 11063.4i 0.113603 + 0.156360i
\(267\) −25126.8 77332.4i −0.352464 1.08477i
\(268\) 4368.54 13445.0i 0.0608229 0.187194i
\(269\) 114414. + 83127.0i 1.58116 + 1.14878i 0.915348 + 0.402663i \(0.131915\pi\)
0.665813 + 0.746119i \(0.268085\pi\)
\(270\) −35665.1 + 49088.7i −0.489233 + 0.673371i
\(271\) 96839.3 + 31465.0i 1.31860 + 0.428439i 0.882014 0.471223i \(-0.156187\pi\)
0.436586 + 0.899663i \(0.356187\pi\)
\(272\) −115548. + 37543.8i −1.56180 + 0.507459i
\(273\) 63972.9 46479.0i 0.858362 0.623636i
\(274\) 89164.6i 1.18766i
\(275\) −17062.2 + 31127.7i −0.225616 + 0.411605i
\(276\) 6393.86 0.0839354
\(277\) 15920.1 + 21912.2i 0.207485 + 0.285579i 0.900059 0.435768i \(-0.143523\pi\)
−0.692574 + 0.721347i \(0.743523\pi\)
\(278\) 5279.91 + 16249.9i 0.0683183 + 0.210262i
\(279\) 2008.31 6180.94i 0.0258001 0.0794047i
\(280\) −44870.5 32600.3i −0.572328 0.415821i
\(281\) 77971.9 107319.i 0.987474 1.35914i 0.0547693 0.998499i \(-0.482558\pi\)
0.932704 0.360642i \(-0.117442\pi\)
\(282\) −1692.20 549.828i −0.0212791 0.00691399i
\(283\) 80080.5 26019.7i 0.999894 0.324885i 0.237071 0.971492i \(-0.423813\pi\)
0.762823 + 0.646607i \(0.223813\pi\)
\(284\) −2469.45 + 1794.16i −0.0306170 + 0.0222446i
\(285\) 8606.40i 0.105958i
\(286\) −98293.3 + 46402.6i −1.20169 + 0.567297i
\(287\) −5358.71 −0.0650574
\(288\) −3337.66 4593.90i −0.0402399 0.0553855i
\(289\) −32631.1 100428.i −0.390693 1.20243i
\(290\) −11969.0 + 36836.7i −0.142318 + 0.438011i
\(291\) −72813.0 52901.7i −0.859850 0.624718i
\(292\) −2346.38 + 3229.52i −0.0275190 + 0.0378767i
\(293\) −114757. 37286.9i −1.33673 0.434331i −0.448524 0.893771i \(-0.648050\pi\)
−0.888209 + 0.459440i \(0.848050\pi\)
\(294\) −4272.72 + 1388.29i −0.0494322 + 0.0160615i
\(295\) −28437.8 + 20661.3i −0.326777 + 0.237418i
\(296\) 140377.i 1.60218i
\(297\) 12153.9 + 95255.8i 0.137785 + 1.07989i
\(298\) 75561.6 0.850880
\(299\) 67520.8 + 92934.4i 0.755258 + 1.03952i
\(300\) −1079.65 3322.81i −0.0119961 0.0369201i
\(301\) 32111.0 98827.4i 0.354422 1.09080i
\(302\) 29992.9 + 21791.1i 0.328855 + 0.238927i
\(303\) −36470.7 + 50197.5i −0.397245 + 0.546761i
\(304\) −17148.3 5571.83i −0.185556 0.0602908i
\(305\) −11065.8 + 3595.50i −0.118955 + 0.0386508i
\(306\) 40441.4 29382.4i 0.431901 0.313794i
\(307\) 130584.i 1.38553i 0.721166 + 0.692763i \(0.243607\pi\)
−0.721166 + 0.692763i \(0.756393\pi\)
\(308\) 9852.09 1257.05i 0.103855 0.0132510i
\(309\) 94375.0 0.988417
\(310\) −10667.4 14682.4i −0.111003 0.152782i
\(311\) 30522.3 + 93937.9i 0.315570 + 0.971225i 0.975519 + 0.219915i \(0.0705780\pi\)
−0.659949 + 0.751311i \(0.729422\pi\)
\(312\) −29217.4 + 89922.0i −0.300146 + 0.923755i
\(313\) −50811.9 36917.0i −0.518653 0.376823i 0.297443 0.954739i \(-0.403866\pi\)
−0.816096 + 0.577916i \(0.803866\pi\)
\(314\) −47837.0 + 65842.0i −0.485182 + 0.667796i
\(315\) 23932.3 + 7776.07i 0.241192 + 0.0783680i
\(316\) 5935.47 1928.55i 0.0594403 0.0193133i
\(317\) −15918.3 + 11565.4i −0.158409 + 0.115091i −0.664166 0.747585i \(-0.731213\pi\)
0.505757 + 0.862676i \(0.331213\pi\)
\(318\) 35202.2i 0.348109i
\(319\) 26168.4 + 55431.8i 0.257156 + 0.544726i
\(320\) 65546.3 0.640101
\(321\) 13865.3 + 19083.9i 0.134561 + 0.185207i
\(322\) −35153.0 108190.i −0.339040 1.04346i
\(323\) 8673.08 26693.0i 0.0831320 0.255854i
\(324\) −4728.44 3435.41i −0.0450431 0.0327257i
\(325\) 36895.5 50782.3i 0.349306 0.480779i
\(326\) −18199.0 5913.21i −0.171243 0.0556401i
\(327\) −98129.1 + 31884.1i −0.917704 + 0.298180i
\(328\) 5183.70 3766.18i 0.0481828 0.0350068i
\(329\) 2920.94i 0.0269855i
\(330\) 59404.0 + 32561.6i 0.545491 + 0.299004i
\(331\) 28807.4 0.262935 0.131468 0.991320i \(-0.458031\pi\)
0.131468 + 0.991320i \(0.458031\pi\)
\(332\) 7077.33 + 9741.11i 0.0642086 + 0.0883756i
\(333\) 19681.2 + 60572.5i 0.177485 + 0.546244i
\(334\) 16005.2 49259.0i 0.143472 0.441563i
\(335\) −128061. 93042.1i −1.14111 0.829067i
\(336\) 60687.8 83529.6i 0.537555 0.739881i
\(337\) −178804. 58096.9i −1.57441 0.511556i −0.613800 0.789462i \(-0.710360\pi\)
−0.960608 + 0.277906i \(0.910360\pi\)
\(338\) 68760.4 22341.6i 0.601873 0.195560i
\(339\) 8840.86 6423.26i 0.0769299 0.0558928i
\(340\) 12880.1i 0.111420i
\(341\) −28219.7 5346.88i −0.242686 0.0459824i
\(342\) 7418.71 0.0634273
\(343\) −66890.6 92067.1i −0.568561 0.782557i
\(344\) 38395.1 + 118168.i 0.324458 + 0.998579i
\(345\) 22123.4 68088.8i 0.185872 0.572055i
\(346\) −2332.35 1694.55i −0.0194824 0.0141548i
\(347\) 17060.3 23481.5i 0.141687 0.195015i −0.732276 0.681008i \(-0.761542\pi\)
0.873963 + 0.485993i \(0.161542\pi\)
\(348\) −5737.98 1864.38i −0.0473806 0.0153949i
\(349\) 90136.3 29287.0i 0.740029 0.240450i 0.0853437 0.996352i \(-0.472801\pi\)
0.654685 + 0.755902i \(0.272801\pi\)
\(350\) −50289.1 + 36537.2i −0.410523 + 0.298263i
\(351\) 169808.i 1.37830i
\(352\) −18272.1 + 17201.4i −0.147470 + 0.138829i
\(353\) −107013. −0.858793 −0.429397 0.903116i \(-0.641274\pi\)
−0.429397 + 0.903116i \(0.641274\pi\)
\(354\) −34879.9 48008.0i −0.278335 0.383096i
\(355\) 10561.6 + 32505.3i 0.0838058 + 0.257928i
\(356\) −5580.78 + 17175.9i −0.0440347 + 0.135525i
\(357\) 130022. + 94466.2i 1.02019 + 0.741208i
\(358\) 34140.0 46989.7i 0.266378 0.366638i
\(359\) 64156.8 + 20845.8i 0.497799 + 0.161745i 0.547146 0.837037i \(-0.315714\pi\)
−0.0493475 + 0.998782i \(0.515714\pi\)
\(360\) −28615.8 + 9297.83i −0.220801 + 0.0717425i
\(361\) −102062. + 74152.4i −0.783159 + 0.568998i
\(362\) 85732.7i 0.654228i
\(363\) 103776. 26920.1i 0.787558 0.204298i
\(364\) −17562.9 −0.132554
\(365\) 26272.7 + 36161.3i 0.197206 + 0.271430i
\(366\) −6069.83 18681.0i −0.0453121 0.139456i
\(367\) −50426.9 + 155198.i −0.374395 + 1.15227i 0.569491 + 0.821998i \(0.307141\pi\)
−0.943886 + 0.330272i \(0.892859\pi\)
\(368\) 121345. + 88162.2i 0.896037 + 0.651009i
\(369\) −1708.74 + 2351.87i −0.0125494 + 0.0172727i
\(370\) 169147. + 54959.3i 1.23555 + 0.401456i
\(371\) 54960.9 17857.9i 0.399306 0.129742i
\(372\) 2287.04 1661.63i 0.0165268 0.0120074i
\(373\) 125734.i 0.903719i 0.892089 + 0.451860i \(0.149239\pi\)
−0.892089 + 0.451860i \(0.850761\pi\)
\(374\) −151429. 160855.i −1.08260 1.14998i
\(375\) −122465. −0.870862
\(376\) −2052.88 2825.54i −0.0145207 0.0199860i
\(377\) −33495.8 103090.i −0.235672 0.725324i
\(378\) −51964.0 + 159929.i −0.363680 + 1.11929i
\(379\) −78050.7 56707.2i −0.543373 0.394784i 0.281963 0.959425i \(-0.409014\pi\)
−0.825336 + 0.564641i \(0.809014\pi\)
\(380\) 1123.56 1546.45i 0.00778091 0.0107095i
\(381\) 120992. + 39312.8i 0.833504 + 0.270822i
\(382\) 29278.9 9513.29i 0.200645 0.0651934i
\(383\) 123692. 89867.7i 0.843228 0.612641i −0.0800426 0.996791i \(-0.525506\pi\)
0.923270 + 0.384151i \(0.125506\pi\)
\(384\) 134953.i 0.915207i
\(385\) 20702.8 109265.i 0.139672 0.737158i
\(386\) −151068. −1.01391
\(387\) −33134.9 45606.3i −0.221240 0.304511i
\(388\) 6177.19 + 19011.4i 0.0410325 + 0.126285i
\(389\) −10802.6 + 33246.9i −0.0713884 + 0.219711i −0.980385 0.197093i \(-0.936850\pi\)
0.908996 + 0.416804i \(0.136850\pi\)
\(390\) −96912.9 70411.3i −0.637166 0.462928i
\(391\) −137233. + 188884.i −0.897643 + 1.23550i
\(392\) −8386.95 2725.09i −0.0545798 0.0177341i
\(393\) −127947. + 41572.5i −0.828410 + 0.269167i
\(394\) 134713. 97874.4i 0.867792 0.630488i
\(395\) 69880.4i 0.447879i
\(396\) 2589.84 4724.80i 0.0165151 0.0301296i
\(397\) 20457.2 0.129797 0.0648986 0.997892i \(-0.479328\pi\)
0.0648986 + 0.997892i \(0.479328\pi\)
\(398\) −22174.7 30520.9i −0.139989 0.192678i
\(399\) 7370.55 + 22684.2i 0.0462971 + 0.142488i
\(400\) 25326.9 77948.1i 0.158293 0.487176i
\(401\) 153780. + 111728.i 0.956338 + 0.694820i 0.952297 0.305171i \(-0.0987137\pi\)
0.00404091 + 0.999992i \(0.498714\pi\)
\(402\) 157072. 216190.i 0.971953 1.33778i
\(403\) 48303.5 + 15694.8i 0.297419 + 0.0966373i
\(404\) 13106.6 4258.58i 0.0803019 0.0260917i
\(405\) −52944.9 + 38466.7i −0.322786 + 0.234517i
\(406\) 107342.i 0.651205i
\(407\) 254533. 120161.i 1.53658 0.725393i
\(408\) −192167. −1.15441
\(409\) −110780. 152476.i −0.662240 0.911495i 0.337313 0.941392i \(-0.390482\pi\)
−0.999553 + 0.0298979i \(0.990482\pi\)
\(410\) 2508.58 + 7720.62i 0.0149232 + 0.0459288i
\(411\) 48057.3 147905.i 0.284496 0.875588i
\(412\) −16957.9 12320.6i −0.0999028 0.0725836i
\(413\) −57260.2 + 78811.9i −0.335701 + 0.462053i
\(414\) −58692.5 19070.3i −0.342438 0.111265i
\(415\) 128222. 41661.9i 0.744504 0.241904i
\(416\) 35900.9 26083.5i 0.207452 0.150723i
\(417\) 29800.9i 0.171379i
\(418\) −4149.62 32522.6i −0.0237496 0.186137i
\(419\) −34335.6 −0.195577 −0.0977883 0.995207i \(-0.531177\pi\)
−0.0977883 + 0.995207i \(0.531177\pi\)
\(420\) 6433.76 + 8855.31i 0.0364725 + 0.0502002i
\(421\) 81293.7 + 250196.i 0.458662 + 1.41162i 0.866781 + 0.498688i \(0.166185\pi\)
−0.408119 + 0.912929i \(0.633815\pi\)
\(422\) 9140.87 28132.7i 0.0513290 0.157974i
\(423\) 1281.96 + 931.402i 0.00716465 + 0.00520543i
\(424\) −40615.1 + 55901.9i −0.225921 + 0.310953i
\(425\) 121333. + 39423.6i 0.671743 + 0.218262i
\(426\) −54874.8 + 17829.9i −0.302380 + 0.0982493i
\(427\) −26087.3 + 18953.6i −0.143078 + 0.103953i
\(428\) 5239.22i 0.0286009i
\(429\) −188058. + 23994.6i −1.02182 + 0.130376i
\(430\) −157419. −0.851373
\(431\) −128666. 177094.i −0.692643 0.953341i −0.999998 0.00174659i \(-0.999444\pi\)
0.307355 0.951595i \(-0.400556\pi\)
\(432\) −68515.0 210867.i −0.367129 1.12991i
\(433\) 21470.6 66079.8i 0.114517 0.352446i −0.877329 0.479889i \(-0.840677\pi\)
0.991846 + 0.127443i \(0.0406769\pi\)
\(434\) −40690.4 29563.3i −0.216029 0.156954i
\(435\) −39708.0 + 54653.3i −0.209845 + 0.288827i
\(436\) 21794.9 + 7081.60i 0.114652 + 0.0372527i
\(437\) −32953.7 + 10707.3i −0.172561 + 0.0560683i
\(438\) −61046.7 + 44353.0i −0.318210 + 0.231193i
\(439\) 72005.3i 0.373625i 0.982396 + 0.186812i \(0.0598156\pi\)
−0.982396 + 0.186812i \(0.940184\pi\)
\(440\) 56766.5 + 120247.i 0.293216 + 0.621111i
\(441\) 4001.03 0.0205729
\(442\) 229621. + 316046.i 1.17535 + 1.61773i
\(443\) −13800.0 42472.2i −0.0703190 0.216420i 0.909721 0.415220i \(-0.136295\pi\)
−0.980040 + 0.198800i \(0.936295\pi\)
\(444\) −8560.91 + 26347.8i −0.0434264 + 0.133653i
\(445\) 163597. + 118861.i 0.826146 + 0.600230i
\(446\) −31578.2 + 43463.7i −0.158752 + 0.218503i
\(447\) 125341. + 40725.7i 0.627303 + 0.203823i
\(448\) 172763. 56134.1i 0.860785 0.279686i
\(449\) −104641. + 76026.2i −0.519050 + 0.377112i −0.816246 0.577704i \(-0.803949\pi\)
0.297196 + 0.954817i \(0.403949\pi\)
\(450\) 33721.9i 0.166528i
\(451\) 11266.1 + 6175.35i 0.0553884 + 0.0303605i
\(452\) −2427.14 −0.0118800
\(453\) 38007.0 + 52312.2i 0.185211 + 0.254922i
\(454\) 73028.8 + 224760.i 0.354309 + 1.09045i
\(455\) −60769.3 + 187029.i −0.293536 + 0.903411i
\(456\) −23072.6 16763.2i −0.110960 0.0806173i
\(457\) 180382. 248275.i 0.863697 1.18878i −0.116979 0.993134i \(-0.537321\pi\)
0.980675 0.195642i \(-0.0626791\pi\)
\(458\) −358860. 116601.i −1.71078 0.555866i
\(459\) 328235. 106650.i 1.55797 0.506215i
\(460\) −12864.2 + 9346.42i −0.0607951 + 0.0441702i
\(461\) 22814.7i 0.107353i −0.998558 0.0536764i \(-0.982906\pi\)
0.998558 0.0536764i \(-0.0170940\pi\)
\(462\) 184459. + 34950.0i 0.864204 + 0.163743i
\(463\) 247942. 1.15661 0.578307 0.815819i \(-0.303713\pi\)
0.578307 + 0.815819i \(0.303713\pi\)
\(464\) −83190.2 114501.i −0.386399 0.531833i
\(465\) −9781.50 30104.4i −0.0452376 0.139227i
\(466\) 32193.8 99082.5i 0.148252 0.456273i
\(467\) −261318. 189859.i −1.19822 0.870557i −0.204111 0.978948i \(-0.565430\pi\)
−0.994108 + 0.108390i \(0.965430\pi\)
\(468\) −5600.28 + 7708.13i −0.0255693 + 0.0351931i
\(469\) −417218. 135562.i −1.89678 0.616301i
\(470\) 4208.38 1367.38i 0.0190511 0.00619006i
\(471\) −114839. + 83435.1i −0.517662 + 0.376103i
\(472\) 116481.i 0.522844i
\(473\) −181398. + 170769.i −0.810793 + 0.763283i
\(474\) 117970. 0.525069
\(475\) 11128.9 + 15317.6i 0.0493248 + 0.0678898i
\(476\) −11030.6 33948.6i −0.0486837 0.149833i
\(477\) 9687.80 29816.0i 0.0425783 0.131043i
\(478\) −113922. 82769.5i −0.498602 0.362255i
\(479\) 58964.1 81157.2i 0.256990 0.353717i −0.660954 0.750427i \(-0.729848\pi\)
0.917944 + 0.396710i \(0.129848\pi\)
\(480\) −26303.0 8546.35i −0.114162 0.0370935i
\(481\) −473369. + 153807.i −2.04602 + 0.664791i
\(482\) 243934. 177229.i 1.04997 0.762851i
\(483\) 198411.i 0.850493i
\(484\) −22161.5 8710.71i −0.0946037 0.0371846i
\(485\) 223828. 0.951549
\(486\) 93695.9 + 128961.i 0.396687 + 0.545993i
\(487\) −113517. 349368.i −0.478632 1.47308i −0.840997 0.541040i \(-0.818031\pi\)
0.362365 0.932036i \(-0.381969\pi\)
\(488\) 11914.5 36669.1i 0.0500307 0.153979i
\(489\) −27001.2 19617.5i −0.112919 0.0820402i
\(490\) 6567.20 9038.98i 0.0273520 0.0376467i
\(491\) 212925. + 69183.6i 0.883210 + 0.286972i 0.715290 0.698828i \(-0.246295\pi\)
0.167921 + 0.985801i \(0.446295\pi\)
\(492\) −1202.63 + 390.757i −0.00496822 + 0.00161427i
\(493\) 178232. 129493.i 0.733318 0.532786i
\(494\) 57976.6i 0.237574i
\(495\) −41353.7 43927.7i −0.168773 0.179278i
\(496\) 66315.8 0.269559
\(497\) 55675.4 + 76630.5i 0.225398 + 0.310234i
\(498\) 70332.8 + 216462.i 0.283595 + 0.872816i
\(499\) −128358. + 395046.i −0.515492 + 1.58652i 0.266892 + 0.963726i \(0.414003\pi\)
−0.782384 + 0.622796i \(0.785997\pi\)
\(500\) 22005.3 + 15987.8i 0.0880211 + 0.0639511i
\(501\) 53098.5 73083.9i 0.211547 0.291170i
\(502\) 192211. + 62453.2i 0.762731 + 0.247826i
\(503\) −319477. + 103805.i −1.26271 + 0.410280i −0.862460 0.506125i \(-0.831077\pi\)
−0.400252 + 0.916405i \(0.631077\pi\)
\(504\) −67461.0 + 49013.3i −0.265578 + 0.192954i
\(505\) 154308.i 0.605070i
\(506\) −50772.4 + 267967.i −0.198302 + 1.04660i
\(507\) 126100. 0.490570
\(508\) −16608.4 22859.5i −0.0643576 0.0885806i
\(509\) 69443.4 + 213725.i 0.268038 + 0.824935i 0.990978 + 0.134024i \(0.0427901\pi\)
−0.722940 + 0.690910i \(0.757210\pi\)
\(510\) 75236.1 231553.i 0.289258 0.890245i
\(511\) 100217. + 72811.7i 0.383794 + 0.278843i
\(512\) −124497. + 171355.i −0.474917 + 0.653667i
\(513\) 48712.9 + 15827.8i 0.185101 + 0.0601430i
\(514\) −100768. + 32741.5i −0.381414 + 0.123929i
\(515\) −189880. + 137956.i −0.715919 + 0.520146i
\(516\) 24520.8i 0.0920950i
\(517\) 3366.08 6140.93i 0.0125934 0.0229749i
\(518\) 492895. 1.83694
\(519\) −2955.56 4067.98i −0.0109725 0.0151023i
\(520\) −72661.7 223630.i −0.268719 0.827033i
\(521\) 65350.4 201128.i 0.240754 0.740964i −0.755552 0.655088i \(-0.772631\pi\)
0.996306 0.0858752i \(-0.0273686\pi\)
\(522\) 47111.1 + 34228.2i 0.172895 + 0.125616i
\(523\) −79321.4 + 109177.i −0.289993 + 0.399141i −0.929012 0.370050i \(-0.879340\pi\)
0.639019 + 0.769191i \(0.279340\pi\)
\(524\) 28417.6 + 9233.45i 0.103496 + 0.0336280i
\(525\) −103112. + 33503.0i −0.374101 + 0.121553i
\(526\) −250599. + 182071.i −0.905748 + 0.658064i
\(527\) 103227.i 0.371682i
\(528\) −223848. + 105675.i −0.802945 + 0.379057i
\(529\) 8393.49 0.0299938
\(530\) −51457.8 70825.7i −0.183189 0.252138i
\(531\) 16331.0 + 50261.6i 0.0579193 + 0.178257i
\(532\) 1637.03 5038.27i 0.00578407 0.0178015i
\(533\) −18379.7 13353.6i −0.0646969 0.0470050i
\(534\) −200658. + 276182.i −0.703677 + 0.968528i
\(535\) −55793.0 18128.2i −0.194927 0.0633356i
\(536\) 498867. 162092.i 1.73642 0.564197i
\(537\) 81957.3 59545.5i 0.284210 0.206491i
\(538\) 593752.i 2.05135i
\(539\) −2237.96 17540.0i −0.00770325 0.0603742i
\(540\) 23505.3 0.0806081
\(541\) −36527.6 50275.9i −0.124803 0.171777i 0.742043 0.670352i \(-0.233857\pi\)
−0.866847 + 0.498575i \(0.833857\pi\)
\(542\) −132102. 406568.i −0.449687 1.38400i
\(543\) −46207.6 + 142212.i −0.156716 + 0.482323i
\(544\) 72966.8 + 53013.5i 0.246563 + 0.179138i
\(545\) 150825. 207593.i 0.507786 0.698908i
\(546\) −315737. 102589.i −1.05911 0.344125i
\(547\) −338850. + 110099.i −1.13249 + 0.367967i −0.814520 0.580135i \(-0.803000\pi\)
−0.317966 + 0.948102i \(0.603000\pi\)
\(548\) −27944.2 + 20302.7i −0.0930531 + 0.0676071i
\(549\) 17493.1i 0.0580395i
\(550\) 147832. 18862.2i 0.488702 0.0623543i
\(551\) 32695.5 0.107692
\(552\) 139446. + 191931.i 0.457644 + 0.629893i
\(553\) −59845.8 184186.i −0.195697 0.602292i
\(554\) 35139.2 108147.i 0.114491 0.352368i
\(555\) 250958. + 182332.i 0.814733 + 0.591938i
\(556\) 3890.50 5354.81i 0.0125851 0.0173218i
\(557\) 376433. + 122311.i 1.21333 + 0.394234i 0.844647 0.535323i \(-0.179810\pi\)
0.368679 + 0.929557i \(0.379810\pi\)
\(558\) −25949.9 + 8431.64i −0.0833427 + 0.0270797i
\(559\) 356409. 258946.i 1.14058 0.828679i
\(560\) 256771.i 0.818786i
\(561\) −164493. 348441.i −0.522662 1.10714i
\(562\) −556931. −1.76331
\(563\) 254804. + 350707.i 0.803876 + 1.10644i 0.992240 + 0.124341i \(0.0396817\pi\)
−0.188363 + 0.982099i \(0.560318\pi\)
\(564\) 212.995 + 655.531i 0.000669593 + 0.00206080i
\(565\) −8398.14 + 25846.8i −0.0263079 + 0.0809674i
\(566\) −285996. 207788.i −0.892744 0.648617i
\(567\) −106606. + 146730.i −0.331600 + 0.456409i
\(568\) −107714. 34998.4i −0.333869 0.108481i
\(569\) 81414.7 26453.2i 0.251466 0.0817061i −0.180572 0.983562i \(-0.557795\pi\)
0.432037 + 0.901856i \(0.357795\pi\)
\(570\) 29232.2 21238.4i 0.0899728 0.0653691i
\(571\) 474437.i 1.45514i −0.686031 0.727572i \(-0.740649\pi\)
0.686031 0.727572i \(-0.259351\pi\)
\(572\) 36923.9 + 20239.4i 0.112854 + 0.0618593i
\(573\) 53694.9 0.163540
\(574\) 13223.9 + 18201.2i 0.0401362 + 0.0552428i
\(575\) −48670.3 149792.i −0.147207 0.453056i
\(576\) 30452.5 93723.0i 0.0917862 0.282489i
\(577\) 499816. + 363138.i 1.50127 + 1.09074i 0.969873 + 0.243612i \(0.0783325\pi\)
0.531396 + 0.847123i \(0.321668\pi\)
\(578\) −260585. + 358664.i −0.779998 + 1.07358i
\(579\) −250591. 81421.8i −0.747494 0.242875i
\(580\) 14270.0 4636.59i 0.0424196 0.0137830i
\(581\) 302281. 219620.i 0.895485 0.650608i
\(582\) 377862.i 1.11554i
\(583\) −136128. 25792.6i −0.400507 0.0758853i
\(584\) −148117. −0.434289
\(585\) 62707.0 + 86308.8i 0.183233 + 0.252199i
\(586\) 156544. + 481794.i 0.455871 + 1.40303i
\(587\) 52321.6 161029.i 0.151846 0.467335i −0.845981 0.533213i \(-0.820985\pi\)
0.997828 + 0.0658772i \(0.0209846\pi\)
\(588\) 1407.98 + 1022.96i 0.00407233 + 0.00295872i
\(589\) −9004.72 + 12393.9i −0.0259561 + 0.0357255i
\(590\) 140354. + 45603.9i 0.403202 + 0.131008i
\(591\) 276211. 89746.5i 0.790800 0.256946i
\(592\) −525770. + 381994.i −1.50021 + 1.08997i
\(593\) 519770.i 1.47809i 0.673654 + 0.739047i \(0.264724\pi\)
−0.673654 + 0.739047i \(0.735276\pi\)
\(594\) 293549. 276348.i 0.831971 0.783220i
\(595\) −399688. −1.12898
\(596\) −17205.3 23681.0i −0.0484361 0.0666666i
\(597\) −20333.3 62579.4i −0.0570504 0.175583i
\(598\) 149033. 458677.i 0.416755 1.28264i
\(599\) −364603. 264899.i −1.01617 0.738291i −0.0506757 0.998715i \(-0.516137\pi\)
−0.965494 + 0.260425i \(0.916137\pi\)
\(600\) 76197.6 104877.i 0.211660 0.291325i
\(601\) 18199.0 + 5913.22i 0.0503848 + 0.0163710i 0.334101 0.942537i \(-0.391567\pi\)
−0.283716 + 0.958908i \(0.591567\pi\)
\(602\) −414915. + 134814.i −1.14490 + 0.371999i
\(603\) −192535. + 139885.i −0.529511 + 0.384713i
\(604\) 14361.6i 0.0393667i
\(605\) −169442. + 205860.i −0.462925 + 0.562420i
\(606\) 260499. 0.709351
\(607\) 179595. + 247192.i 0.487436 + 0.670898i 0.979913 0.199428i \(-0.0639083\pi\)
−0.492477 + 0.870326i \(0.663908\pi\)
\(608\) 4136.27 + 12730.1i 0.0111893 + 0.0344371i
\(609\) −57854.5 + 178058.i −0.155992 + 0.480094i
\(610\) 39519.9 + 28712.9i 0.106208 + 0.0771644i
\(611\) −7278.82 + 10018.4i −0.0194975 + 0.0268360i
\(612\) −18416.9 5984.03i −0.0491716 0.0159768i
\(613\) 471453. 153184.i 1.25463 0.407656i 0.395055 0.918657i \(-0.370725\pi\)
0.859580 + 0.511002i \(0.170725\pi\)
\(614\) 443538. 322249.i 1.17650 0.854781i
\(615\) 14158.9i 0.0374352i
\(616\) 252602. + 268325.i 0.665694 + 0.707129i
\(617\) −481904. −1.26587 −0.632937 0.774203i \(-0.718151\pi\)
−0.632937 + 0.774203i \(0.718151\pi\)
\(618\) −232894. 320550.i −0.609790 0.839304i
\(619\) 172028. + 529448.i 0.448971 + 1.38179i 0.878070 + 0.478532i \(0.158831\pi\)
−0.429099 + 0.903257i \(0.641169\pi\)
\(620\) −2172.51 + 6686.31i −0.00565170 + 0.0173942i
\(621\) −344702. 250440.i −0.893840 0.649413i
\(622\) 243745. 335486.i 0.630020 0.867148i
\(623\) 532993. + 173180.i 1.37324 + 0.446191i
\(624\) 416303. 135265.i 1.06915 0.347389i
\(625\) 98059.8 71244.6i 0.251033 0.182386i
\(626\) 263687.i 0.672885i
\(627\) 10645.5 56184.7i 0.0270788 0.142917i
\(628\) 31527.3 0.0799407
\(629\) −594609. 818409.i −1.50290 2.06857i
\(630\) −32646.9 100477.i −0.0822546 0.253154i
\(631\) −122608. + 377349.i −0.307936 + 0.947730i 0.670629 + 0.741793i \(0.266024\pi\)
−0.978565 + 0.205937i \(0.933976\pi\)
\(632\) 187340. + 136110.i 0.469025 + 0.340767i
\(633\) 30325.5 41739.5i 0.0756835 0.104169i
\(634\) 78564.8 + 25527.3i 0.195456 + 0.0635076i
\(635\) −300899. + 97768.1i −0.746232 + 0.242465i
\(636\) 11032.4 8015.49i 0.0272744 0.0198160i
\(637\) 31267.7i 0.0770579i
\(638\) 123701. 225674.i 0.303900 0.554422i
\(639\) 51385.4 0.125846
\(640\) −197271. 271521.i −0.481620 0.662893i
\(641\) −220138. 677516.i −0.535771 1.64893i −0.741976 0.670426i \(-0.766111\pi\)
0.206205 0.978509i \(-0.433889\pi\)
\(642\) 30603.7 94188.4i 0.0742512 0.228522i
\(643\) −93657.4 68046.1i −0.226527 0.164582i 0.468733 0.883340i \(-0.344711\pi\)
−0.695260 + 0.718758i \(0.744711\pi\)
\(644\) −25902.5 + 35651.7i −0.0624553 + 0.0859624i
\(645\) −261125. 84844.6i −0.627666 0.203941i
\(646\) −112067. + 36412.9i −0.268543 + 0.0872549i
\(647\) −453337. + 329369.i −1.08296 + 0.786817i −0.978197 0.207680i \(-0.933409\pi\)
−0.104764 + 0.994497i \(0.533409\pi\)
\(648\) 216862.i 0.516457i
\(649\) 211205. 99706.4i 0.501436 0.236719i
\(650\) −263534. −0.623748
\(651\) −51562.9 70970.3i −0.121668 0.167461i
\(652\) 2290.69 + 7050.01i 0.00538853 + 0.0165842i
\(653\) −125501. + 386251.i −0.294320 + 0.905823i 0.689129 + 0.724638i \(0.257993\pi\)
−0.983449 + 0.181184i \(0.942007\pi\)
\(654\) 350454. + 254620.i 0.819361 + 0.595301i
\(655\) 196656. 270673.i 0.458378 0.630903i
\(656\) −28211.8 9166.58i −0.0655577 0.0213010i
\(657\) 63912.3 20766.4i 0.148065 0.0481094i
\(658\) 9921.15 7208.13i 0.0229145 0.0166483i
\(659\) 237251.i 0.546307i −0.961970 0.273154i \(-0.911933\pi\)
0.961970 0.273154i \(-0.0880667\pi\)
\(660\) −3321.40 26031.5i −0.00762490 0.0597601i
\(661\) 202580. 0.463655 0.231827 0.972757i \(-0.425530\pi\)
0.231827 + 0.972757i \(0.425530\pi\)
\(662\) −71089.4 97846.2i −0.162214 0.223269i
\(663\) 210552. + 648014.i 0.478998 + 1.47420i
\(664\) −138057. + 424895.i −0.313127 + 0.963707i
\(665\) −47988.7 34865.8i −0.108516 0.0788418i
\(666\) 157170. 216326.i 0.354341 0.487708i
\(667\) −258668. 84046.2i −0.581420 0.188915i
\(668\) −19082.2 + 6200.17i −0.0427636 + 0.0138947i
\(669\) −75807.4 + 55077.3i −0.169379 + 0.123061i
\(670\) 664572.i 1.48045i
\(671\) 76687.6 9784.71i 0.170326 0.0217322i
\(672\) −76646.8 −0.169729
\(673\) 122108. + 168067.i 0.269596 + 0.371066i 0.922253 0.386587i \(-0.126346\pi\)
−0.652658 + 0.757653i \(0.726346\pi\)
\(674\) 243913. + 750687.i 0.536927 + 1.65249i
\(675\) −71945.5 + 221425.i −0.157905 + 0.485982i
\(676\) −22658.5 16462.4i −0.0495836 0.0360246i
\(677\) 212149. 291998.i 0.462875 0.637093i −0.512227 0.858850i \(-0.671179\pi\)
0.975102 + 0.221758i \(0.0711794\pi\)
\(678\) −43634.0 14177.5i −0.0949217 0.0308419i
\(679\) 589952. 191687.i 1.27961 0.415770i
\(680\) 386635. 280907.i 0.836148 0.607497i
\(681\) 412189.i 0.888797i
\(682\) 51478.2 + 109045.i 0.110676 + 0.234442i
\(683\) 310133. 0.664824 0.332412 0.943134i \(-0.392138\pi\)
0.332412 + 0.943134i \(0.392138\pi\)
\(684\) −1689.23 2325.03i −0.00361058 0.00496954i
\(685\) 119515. + 367830.i 0.254708 + 0.783910i
\(686\) −147642. + 454396.i −0.313735 + 0.965576i
\(687\) −532429. 386832.i −1.12810 0.819613i
\(688\) 338107. 465365.i 0.714295 0.983143i
\(689\) 233009. + 75709.3i 0.490834 + 0.159482i
\(690\) −285863. + 92882.4i −0.600426 + 0.195090i
\(691\) 27576.4 20035.5i 0.0577540 0.0419607i −0.558534 0.829482i \(-0.688636\pi\)
0.616288 + 0.787521i \(0.288636\pi\)
\(692\) 1116.81i 0.00233220i
\(693\) −146617. 80366.5i −0.305294 0.167343i
\(694\) −121857. −0.253006
\(695\) −43562.3 59958.4i −0.0901865 0.124131i
\(696\) −69176.6 212904.i −0.142804 0.439506i
\(697\) 14268.6 43914.3i 0.0293709 0.0903943i
\(698\) −321909. 233880.i −0.660726 0.480046i
\(699\) 106806. 147005.i 0.218595 0.300870i
\(700\) 22901.5 + 7441.16i 0.0467378 + 0.0151860i
\(701\) −154914. + 50334.5i −0.315249 + 0.102431i −0.462368 0.886688i \(-0.653000\pi\)
0.147119 + 0.989119i \(0.453000\pi\)
\(702\) −576763. + 419043.i −1.17037 + 0.850324i
\(703\) 150132.i 0.303782i
\(704\) −427903. 81075.9i −0.863375 0.163586i
\(705\) 7717.79 0.0155280
\(706\) 264082. + 363477.i 0.529821 + 0.729236i
\(707\) −132150. 406715.i −0.264380 0.813677i
\(708\) −7103.64 + 21862.8i −0.0141715 + 0.0436152i
\(709\) −42019.7 30529.1i −0.0835912 0.0607326i 0.545205 0.838303i \(-0.316452\pi\)
−0.628796 + 0.777570i \(0.716452\pi\)
\(710\) 84342.9 116088.i 0.167314 0.230288i
\(711\) −99920.2 32466.0i −0.197658 0.0642229i
\(712\) −637299. + 207071.i −1.25714 + 0.408469i
\(713\) 103100. 74906.3i 0.202805 0.147346i
\(714\) 674745.i 1.32356i
\(715\) 343291. 323176.i 0.671507 0.632159i
\(716\) −22500.3 −0.0438896
\(717\) −144363. 198698.i −0.280813 0.386506i
\(718\) −87518.6 269354.i −0.169766 0.522487i
\(719\) 298239. 917885.i 0.576908 1.77554i −0.0526809 0.998611i \(-0.516777\pi\)
0.629589 0.776929i \(-0.283223\pi\)
\(720\) 112694. + 81876.8i 0.217388 + 0.157941i
\(721\) −382327. + 526228.i −0.735470 + 1.01229i
\(722\) 503726. + 163671.i 0.966319 + 0.313976i
\(723\) 500157. 162511.i 0.956818 0.310889i
\(724\) 26868.7 19521.2i 0.0512589 0.0372417i
\(725\) 148618.i 0.282745i
\(726\) −347528. 286048.i −0.659350 0.542708i
\(727\) −138074. −0.261241 −0.130621 0.991432i \(-0.541697\pi\)
−0.130621 + 0.991432i \(0.541697\pi\)
\(728\) −383035. 527202.i −0.722729 0.994751i
\(729\) 175866. + 541259.i 0.330922 + 1.01847i
\(730\) 57989.7 178474.i 0.108819 0.334911i
\(731\) 724384. + 526296.i 1.35561 + 0.984906i
\(732\) −4472.55 + 6155.94i −0.00834705 + 0.0114887i
\(733\) −512975. 166676.i −0.954746 0.310216i −0.210104 0.977679i \(-0.567380\pi\)
−0.744643 + 0.667463i \(0.767380\pi\)
\(734\) 651580. 211711.i 1.20942 0.392963i
\(735\) 15765.4 11454.2i 0.0291830 0.0212027i
\(736\) 111346.i 0.205551i
\(737\) 720930. + 765804.i 1.32727 + 1.40988i
\(738\) 12205.0 0.0224091
\(739\) 115460. + 158917.i 0.211419 + 0.290993i 0.901536 0.432705i \(-0.142441\pi\)
−0.690117 + 0.723698i \(0.742441\pi\)
\(740\) −21290.4 65525.0i −0.0388794 0.119659i
\(741\) −31247.8 + 96170.9i −0.0569093 + 0.175149i
\(742\) −196285. 142609.i −0.356516 0.259024i
\(743\) −510591. + 702769.i −0.924902 + 1.27302i 0.0369131 + 0.999318i \(0.488248\pi\)
−0.961815 + 0.273700i \(0.911752\pi\)
\(744\) 99757.8 + 32413.3i 0.180219 + 0.0585568i
\(745\) −311714. + 101282.i −0.561621 + 0.182482i
\(746\) 427062. 310278.i 0.767384 0.557537i
\(747\) 202698.i 0.363252i
\(748\) −15931.7 + 84084.5i −0.0284747 + 0.150284i
\(749\) −162581. −0.289805
\(750\) 302212. + 415960.i 0.537266 + 0.739484i
\(751\) −213891. 658290.i −0.379239 1.16718i −0.940574 0.339589i \(-0.889712\pi\)
0.561335 0.827589i \(-0.310288\pi\)
\(752\) −4996.54 + 15377.8i −0.00883556 + 0.0271931i
\(753\) 285177. + 207193.i 0.502950 + 0.365415i
\(754\) −267491. + 368169.i −0.470507 + 0.647597i
\(755\) −152938. 49692.5i −0.268300 0.0871761i
\(756\) 61953.9 20130.0i 0.108399 0.0352209i
\(757\) −61422.9 + 44626.4i −0.107186 + 0.0778753i −0.640087 0.768302i \(-0.721102\pi\)
0.532901 + 0.846178i \(0.321102\pi\)
\(758\) 405043.i 0.704957i
\(759\) −228648. + 417135.i −0.396902 + 0.724092i
\(760\) 70925.6 0.122794
\(761\) 327846. + 451241.i 0.566109 + 0.779182i 0.992087 0.125551i \(-0.0400700\pi\)
−0.425978 + 0.904733i \(0.640070\pi\)
\(762\) −165050. 507971.i −0.284253 0.874841i
\(763\) 219752. 676328.i 0.377472 1.16174i
\(764\) −9648.24 7009.85i −0.0165296 0.0120094i
\(765\) −127449. + 175418.i −0.217778 + 0.299745i
\(766\) −610482. 198358.i −1.04044 0.338058i
\(767\) −392790. + 127625.i −0.667682 + 0.216943i
\(768\) 117212. 85159.5i 0.198724 0.144381i
\(769\) 113451.i 0.191848i 0.995389 + 0.0959239i \(0.0305805\pi\)
−0.995389 + 0.0959239i \(0.969419\pi\)
\(770\) −422215. + 199321.i