Properties

Label 16.5.f.a.3.7
Level $16$
Weight $5$
Character 16.3
Analytic conductor $1.654$
Analytic rank $0$
Dimension $14$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 16 = 2^{4} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 16.f (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.65391940934\)
Analytic rank: \(0\)
Dimension: \(14\)
Relative dimension: \(7\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{14} - \cdots)\)
Defining polynomial: \(x^{14} - 4 x^{13} + 15 x^{12} - 34 x^{11} + 62 x^{10} - 312 x^{9} + 1432 x^{8} - 4960 x^{7} + 11456 x^{6} - 19968 x^{5} + 31744 x^{4} - 139264 x^{3} + 491520 x^{2} - 1048576 x + 2097152\)
Coefficient ring: \(\Z[a_1, \ldots, a_{9}]\)
Coefficient ring index: \( 2^{21} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.7
Root \(-2.40693 + 1.48549i\) of defining polynomial
Character \(\chi\) \(=\) 16.3
Dual form 16.5.f.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(3.89242 - 0.921438i) q^{2} +(-0.0461995 + 0.0461995i) q^{3} +(14.3019 - 7.17325i) q^{4} +(-8.04297 + 8.04297i) q^{5} +(-0.137258 + 0.222398i) q^{6} -49.8797 q^{7} +(49.0594 - 41.0996i) q^{8} +80.9957i q^{9} +O(q^{10})\) \(q+(3.89242 - 0.921438i) q^{2} +(-0.0461995 + 0.0461995i) q^{3} +(14.3019 - 7.17325i) q^{4} +(-8.04297 + 8.04297i) q^{5} +(-0.137258 + 0.222398i) q^{6} -49.8797 q^{7} +(49.0594 - 41.0996i) q^{8} +80.9957i q^{9} +(-23.8955 + 38.7177i) q^{10} +(-84.2573 - 84.2573i) q^{11} +(-0.329340 + 0.992142i) q^{12} +(19.4838 + 19.4838i) q^{13} +(-194.153 + 45.9610i) q^{14} -0.743162i q^{15} +(153.089 - 205.182i) q^{16} +437.855 q^{17} +(74.6325 + 315.270i) q^{18} +(349.021 - 349.021i) q^{19} +(-57.3356 + 172.724i) q^{20} +(2.30442 - 2.30442i) q^{21} +(-405.603 - 250.327i) q^{22} -404.840 q^{23} +(-0.367736 + 4.16530i) q^{24} +495.621i q^{25} +(93.7922 + 57.8860i) q^{26} +(-7.48412 - 7.48412i) q^{27} +(-713.374 + 357.799i) q^{28} +(-1031.65 - 1031.65i) q^{29} +(-0.684778 - 2.89270i) q^{30} +1506.15i q^{31} +(406.824 - 939.718i) q^{32} +7.78529 q^{33} +(1704.32 - 403.456i) q^{34} +(401.181 - 401.181i) q^{35} +(581.003 + 1158.39i) q^{36} +(-434.262 + 434.262i) q^{37} +(1036.94 - 1680.14i) q^{38} -1.80028 q^{39} +(-64.0199 + 725.146i) q^{40} -696.847i q^{41} +(6.84639 - 11.0931i) q^{42} +(917.612 + 917.612i) q^{43} +(-1809.44 - 600.641i) q^{44} +(-651.446 - 651.446i) q^{45} +(-1575.81 + 373.035i) q^{46} -111.917i q^{47} +(2.40668 + 16.5520i) q^{48} +86.9810 q^{49} +(456.684 + 1929.17i) q^{50} +(-20.2287 + 20.2287i) q^{51} +(418.417 + 138.893i) q^{52} +(1041.19 - 1041.19i) q^{53} +(-36.0275 - 22.2352i) q^{54} +1355.36 q^{55} +(-2447.06 + 2050.04i) q^{56} +32.2492i q^{57} +(-4966.23 - 3065.02i) q^{58} +(-1711.60 - 1711.60i) q^{59} +(-5.33089 - 10.6286i) q^{60} +(3711.24 + 3711.24i) q^{61} +(1387.83 + 5862.58i) q^{62} -4040.04i q^{63} +(717.641 - 4032.64i) q^{64} -313.415 q^{65} +(30.3036 - 7.17366i) q^{66} +(-1854.18 + 1854.18i) q^{67} +(6262.16 - 3140.84i) q^{68} +(18.7034 - 18.7034i) q^{69} +(1191.90 - 1931.23i) q^{70} -1161.89 q^{71} +(3328.89 + 3973.60i) q^{72} +905.295i q^{73} +(-1290.19 + 2090.48i) q^{74} +(-22.8975 - 22.8975i) q^{75} +(2488.05 - 7495.28i) q^{76} +(4202.72 + 4202.72i) q^{77} +(-7.00746 + 1.65885i) q^{78} -5869.63i q^{79} +(418.984 + 2881.56i) q^{80} -6559.96 q^{81} +(-642.101 - 2712.42i) q^{82} +(-7560.06 + 7560.06i) q^{83} +(16.4274 - 49.4877i) q^{84} +(-3521.65 + 3521.65i) q^{85} +(4417.25 + 2726.21i) q^{86} +95.3236 q^{87} +(-7596.55 - 670.665i) q^{88} -6439.80i q^{89} +(-3135.97 - 1935.44i) q^{90} +(-971.844 - 971.844i) q^{91} +(-5789.98 + 2904.02i) q^{92} +(-69.5835 - 69.5835i) q^{93} +(-103.125 - 435.628i) q^{94} +5614.33i q^{95} +(24.6194 + 62.2096i) q^{96} -413.032 q^{97} +(338.567 - 80.1476i) q^{98} +(6824.48 - 6824.48i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 14q - 2q^{2} - 2q^{3} - 8q^{4} - 2q^{5} + 64q^{6} - 4q^{7} - 92q^{8} + O(q^{10}) \) \( 14q - 2q^{2} - 2q^{3} - 8q^{4} - 2q^{5} + 64q^{6} - 4q^{7} - 92q^{8} - 100q^{10} + 94q^{11} - 332q^{12} - 2q^{13} + 44q^{14} - 168q^{16} - 4q^{17} + 1390q^{18} - 706q^{19} + 1900q^{20} - 164q^{21} + 900q^{22} + 1148q^{23} - 1872q^{24} - 3416q^{26} - 1664q^{27} - 3784q^{28} + 862q^{29} - 3740q^{30} + 3208q^{32} - 4q^{33} + 7508q^{34} + 1340q^{35} + 11468q^{36} - 1826q^{37} + 3568q^{38} + 2684q^{39} - 5144q^{40} - 17064q^{42} + 1694q^{43} - 14636q^{44} + 1410q^{45} - 5316q^{46} + 6888q^{48} + 682q^{49} + 20070q^{50} - 3012q^{51} + 20452q^{52} - 482q^{53} + 10784q^{54} - 11780q^{55} - 6952q^{56} - 20456q^{58} - 2786q^{59} - 29920q^{60} - 3778q^{61} - 11472q^{62} + 15808q^{64} - 2020q^{65} + 30148q^{66} + 7998q^{67} + 18032q^{68} + 9628q^{69} + 15296q^{70} + 19964q^{71} - 17708q^{72} - 23780q^{74} + 17570q^{75} - 23996q^{76} - 9508q^{77} - 8052q^{78} + 1384q^{80} + 1454q^{81} + 16016q^{82} - 17282q^{83} + 19624q^{84} + 9948q^{85} - 4796q^{86} - 49284q^{87} + 7288q^{88} - 5416q^{90} - 28036q^{91} - 14632q^{92} + 8896q^{93} + 432q^{94} + 6064q^{96} - 4q^{97} - 12246q^{98} + 49214q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(15\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.89242 0.921438i 0.973106 0.230359i
\(3\) −0.0461995 + 0.0461995i −0.00513328 + 0.00513328i −0.709669 0.704535i \(-0.751155\pi\)
0.704535 + 0.709669i \(0.251155\pi\)
\(4\) 14.3019 7.17325i 0.893869 0.448328i
\(5\) −8.04297 + 8.04297i −0.321719 + 0.321719i −0.849426 0.527707i \(-0.823052\pi\)
0.527707 + 0.849426i \(0.323052\pi\)
\(6\) −0.137258 + 0.222398i −0.00381272 + 0.00617772i
\(7\) −49.8797 −1.01795 −0.508976 0.860781i \(-0.669976\pi\)
−0.508976 + 0.860781i \(0.669976\pi\)
\(8\) 49.0594 41.0996i 0.766552 0.642182i
\(9\) 80.9957i 0.999947i
\(10\) −23.8955 + 38.7177i −0.238955 + 0.387177i
\(11\) −84.2573 84.2573i −0.696341 0.696341i 0.267278 0.963619i \(-0.413876\pi\)
−0.963619 + 0.267278i \(0.913876\pi\)
\(12\) −0.329340 + 0.992142i −0.00228709 + 0.00688987i
\(13\) 19.4838 + 19.4838i 0.115289 + 0.115289i 0.762398 0.647109i \(-0.224022\pi\)
−0.647109 + 0.762398i \(0.724022\pi\)
\(14\) −194.153 + 45.9610i −0.990575 + 0.234495i
\(15\) 0.743162i 0.00330294i
\(16\) 153.089 205.182i 0.598004 0.801493i
\(17\) 437.855 1.51507 0.757535 0.652795i \(-0.226404\pi\)
0.757535 + 0.652795i \(0.226404\pi\)
\(18\) 74.6325 + 315.270i 0.230347 + 0.973054i
\(19\) 349.021 349.021i 0.966817 0.966817i −0.0326494 0.999467i \(-0.510394\pi\)
0.999467 + 0.0326494i \(0.0103945\pi\)
\(20\) −57.3356 + 172.724i −0.143339 + 0.431810i
\(21\) 2.30442 2.30442i 0.00522543 0.00522543i
\(22\) −405.603 250.327i −0.838022 0.517205i
\(23\) −404.840 −0.765293 −0.382647 0.923895i \(-0.624987\pi\)
−0.382647 + 0.923895i \(0.624987\pi\)
\(24\) −0.367736 + 4.16530i −0.000638430 + 0.00723143i
\(25\) 495.621i 0.792994i
\(26\) 93.7922 + 57.8860i 0.138746 + 0.0856302i
\(27\) −7.48412 7.48412i −0.0102663 0.0102663i
\(28\) −713.374 + 357.799i −0.909916 + 0.456377i
\(29\) −1031.65 1031.65i −1.22670 1.22670i −0.965206 0.261490i \(-0.915786\pi\)
−0.261490 0.965206i \(-0.584214\pi\)
\(30\) −0.684778 2.89270i −0.000760864 0.00321411i
\(31\) 1506.15i 1.56728i 0.621217 + 0.783638i \(0.286638\pi\)
−0.621217 + 0.783638i \(0.713362\pi\)
\(32\) 406.824 939.718i 0.397290 0.917693i
\(33\) 7.78529 0.00714903
\(34\) 1704.32 403.456i 1.47432 0.349011i
\(35\) 401.181 401.181i 0.327494 0.327494i
\(36\) 581.003 + 1158.39i 0.448304 + 0.893822i
\(37\) −434.262 + 434.262i −0.317211 + 0.317211i −0.847695 0.530484i \(-0.822010\pi\)
0.530484 + 0.847695i \(0.322010\pi\)
\(38\) 1036.94 1680.14i 0.718100 1.16353i
\(39\) −1.80028 −0.00118362
\(40\) −64.0199 + 725.146i −0.0400124 + 0.453216i
\(41\) 696.847i 0.414543i −0.978283 0.207272i \(-0.933542\pi\)
0.978283 0.207272i \(-0.0664584\pi\)
\(42\) 6.84639 11.0931i 0.00388117 0.00628863i
\(43\) 917.612 + 917.612i 0.496275 + 0.496275i 0.910276 0.414002i \(-0.135869\pi\)
−0.414002 + 0.910276i \(0.635869\pi\)
\(44\) −1809.44 600.641i −0.934627 0.310249i
\(45\) −651.446 651.446i −0.321702 0.321702i
\(46\) −1575.81 + 373.035i −0.744711 + 0.176292i
\(47\) 111.917i 0.0506641i −0.999679 0.0253321i \(-0.991936\pi\)
0.999679 0.0253321i \(-0.00806431\pi\)
\(48\) 2.40668 + 16.5520i 0.00104457 + 0.00718401i
\(49\) 86.9810 0.0362270
\(50\) 456.684 + 1929.17i 0.182674 + 0.771667i
\(51\) −20.2287 + 20.2287i −0.00777728 + 0.00777728i
\(52\) 418.417 + 138.893i 0.154740 + 0.0513658i
\(53\) 1041.19 1041.19i 0.370663 0.370663i −0.497056 0.867719i \(-0.665586\pi\)
0.867719 + 0.497056i \(0.165586\pi\)
\(54\) −36.0275 22.2352i −0.0123551 0.00762525i
\(55\) 1355.36 0.448052
\(56\) −2447.06 + 2050.04i −0.780314 + 0.653710i
\(57\) 32.2492i 0.00992589i
\(58\) −4966.23 3065.02i −1.47629 0.911124i
\(59\) −1711.60 1711.60i −0.491697 0.491697i 0.417144 0.908841i \(-0.363031\pi\)
−0.908841 + 0.417144i \(0.863031\pi\)
\(60\) −5.33089 10.6286i −0.00148080 0.00295240i
\(61\) 3711.24 + 3711.24i 0.997376 + 0.997376i 0.999997 0.00262076i \(-0.000834216\pi\)
−0.00262076 + 0.999997i \(0.500834\pi\)
\(62\) 1387.83 + 5862.58i 0.361037 + 1.52513i
\(63\) 4040.04i 1.01790i
\(64\) 717.641 4032.64i 0.175205 0.984532i
\(65\) −313.415 −0.0741810
\(66\) 30.3036 7.17366i 0.00695676 0.00164685i
\(67\) −1854.18 + 1854.18i −0.413049 + 0.413049i −0.882799 0.469750i \(-0.844344\pi\)
0.469750 + 0.882799i \(0.344344\pi\)
\(68\) 6262.16 3140.84i 1.35427 0.679248i
\(69\) 18.7034 18.7034i 0.00392846 0.00392846i
\(70\) 1191.90 1931.23i 0.243245 0.394128i
\(71\) −1161.89 −0.230489 −0.115244 0.993337i \(-0.536765\pi\)
−0.115244 + 0.993337i \(0.536765\pi\)
\(72\) 3328.89 + 3973.60i 0.642148 + 0.766512i
\(73\) 905.295i 0.169881i 0.996386 + 0.0849404i \(0.0270700\pi\)
−0.996386 + 0.0849404i \(0.972930\pi\)
\(74\) −1290.19 + 2090.48i −0.235608 + 0.381753i
\(75\) −22.8975 22.8975i −0.00407066 0.00407066i
\(76\) 2488.05 7495.28i 0.430757 1.29766i
\(77\) 4202.72 + 4202.72i 0.708842 + 0.708842i
\(78\) −7.00746 + 1.65885i −0.00115178 + 0.000272657i
\(79\) 5869.63i 0.940495i −0.882535 0.470247i \(-0.844165\pi\)
0.882535 0.470247i \(-0.155835\pi\)
\(80\) 418.984 + 2881.56i 0.0654663 + 0.450244i
\(81\) −6559.96 −0.999842
\(82\) −642.101 2712.42i −0.0954939 0.403394i
\(83\) −7560.06 + 7560.06i −1.09741 + 1.09741i −0.102698 + 0.994713i \(0.532748\pi\)
−0.994713 + 0.102698i \(0.967252\pi\)
\(84\) 16.4274 49.4877i 0.00232815 0.00701356i
\(85\) −3521.65 + 3521.65i −0.487426 + 0.487426i
\(86\) 4417.25 + 2726.21i 0.597249 + 0.368606i
\(87\) 95.3236 0.0125939
\(88\) −7596.55 670.665i −0.980959 0.0866045i
\(89\) 6439.80i 0.813004i −0.913650 0.406502i \(-0.866748\pi\)
0.913650 0.406502i \(-0.133252\pi\)
\(90\) −3135.97 1935.44i −0.387157 0.238943i
\(91\) −971.844 971.844i −0.117358 0.117358i
\(92\) −5789.98 + 2904.02i −0.684072 + 0.343102i
\(93\) −69.5835 69.5835i −0.00804527 0.00804527i
\(94\) −103.125 435.628i −0.0116710 0.0493015i
\(95\) 5614.33i 0.622087i
\(96\) 24.6194 + 62.2096i 0.00267138 + 0.00675017i
\(97\) −413.032 −0.0438976 −0.0219488 0.999759i \(-0.506987\pi\)
−0.0219488 + 0.999759i \(0.506987\pi\)
\(98\) 338.567 80.1476i 0.0352527 0.00834523i
\(99\) 6824.48 6824.48i 0.696304 0.696304i
\(100\) 3555.22 + 7088.33i 0.355522 + 0.708833i
\(101\) 8460.63 8460.63i 0.829392 0.829392i −0.158041 0.987433i \(-0.550518\pi\)
0.987433 + 0.158041i \(0.0505177\pi\)
\(102\) −60.0991 + 97.3781i −0.00577654 + 0.00935968i
\(103\) 17007.9 1.60316 0.801578 0.597891i \(-0.203994\pi\)
0.801578 + 0.597891i \(0.203994\pi\)
\(104\) 1756.64 + 155.086i 0.162411 + 0.0143385i
\(105\) 37.0687i 0.00336224i
\(106\) 3093.37 5012.15i 0.275309 0.446080i
\(107\) 9368.65 + 9368.65i 0.818294 + 0.818294i 0.985861 0.167567i \(-0.0535909\pi\)
−0.167567 + 0.985861i \(0.553591\pi\)
\(108\) −160.723 53.3518i −0.0137794 0.00457405i
\(109\) −8308.73 8308.73i −0.699329 0.699329i 0.264937 0.964266i \(-0.414649\pi\)
−0.964266 + 0.264937i \(0.914649\pi\)
\(110\) 5275.62 1248.88i 0.436002 0.103213i
\(111\) 40.1254i 0.00325667i
\(112\) −7636.03 + 10234.4i −0.608740 + 0.815882i
\(113\) 5814.63 0.455371 0.227685 0.973735i \(-0.426884\pi\)
0.227685 + 0.973735i \(0.426884\pi\)
\(114\) 29.7156 + 125.528i 0.00228652 + 0.00965894i
\(115\) 3256.12 3256.12i 0.246209 0.246209i
\(116\) −22154.9 7354.29i −1.64647 0.546544i
\(117\) −1578.10 + 1578.10i −0.115283 + 0.115283i
\(118\) −8239.39 5085.13i −0.591740 0.365206i
\(119\) −21840.1 −1.54227
\(120\) −30.5437 36.4591i −0.00212109 0.00253188i
\(121\) 442.428i 0.0302185i
\(122\) 17865.4 + 11026.0i 1.20031 + 0.740797i
\(123\) 32.1940 + 32.1940i 0.00212797 + 0.00212797i
\(124\) 10804.0 + 21540.9i 0.702654 + 1.40094i
\(125\) −9013.12 9013.12i −0.576840 0.576840i
\(126\) −3722.64 15725.5i −0.234483 0.990523i
\(127\) 20367.1i 1.26276i 0.775472 + 0.631382i \(0.217512\pi\)
−0.775472 + 0.631382i \(0.782488\pi\)
\(128\) −922.465 16358.0i −0.0563028 0.998414i
\(129\) −84.7864 −0.00509503
\(130\) −1219.94 + 288.792i −0.0721860 + 0.0170883i
\(131\) 4414.52 4414.52i 0.257242 0.257242i −0.566690 0.823931i \(-0.691776\pi\)
0.823931 + 0.566690i \(0.191776\pi\)
\(132\) 111.344 55.8458i 0.00639029 0.00320511i
\(133\) −17409.1 + 17409.1i −0.984174 + 0.984174i
\(134\) −5508.74 + 8925.76i −0.306791 + 0.497091i
\(135\) 120.389 0.00660571
\(136\) 21480.9 17995.7i 1.16138 0.972950i
\(137\) 11018.7i 0.587067i 0.955949 + 0.293533i \(0.0948312\pi\)
−0.955949 + 0.293533i \(0.905169\pi\)
\(138\) 55.5676 90.0356i 0.00291785 0.00472777i
\(139\) −14957.2 14957.2i −0.774140 0.774140i 0.204688 0.978827i \(-0.434382\pi\)
−0.978827 + 0.204688i \(0.934382\pi\)
\(140\) 2859.88 8615.41i 0.145912 0.439562i
\(141\) 5.17051 + 5.17051i 0.000260073 + 0.000260073i
\(142\) −4522.59 + 1070.61i −0.224290 + 0.0530953i
\(143\) 3283.30i 0.160560i
\(144\) 16618.9 + 12399.6i 0.801451 + 0.597972i
\(145\) 16595.1 0.789302
\(146\) 834.173 + 3523.79i 0.0391336 + 0.165312i
\(147\) −4.01848 + 4.01848i −0.000185963 + 0.000185963i
\(148\) −3095.71 + 9325.85i −0.141331 + 0.425760i
\(149\) 15393.9 15393.9i 0.693388 0.693388i −0.269588 0.962976i \(-0.586888\pi\)
0.962976 + 0.269588i \(0.0868876\pi\)
\(150\) −110.225 68.0280i −0.00489890 0.00302347i
\(151\) −16971.9 −0.744347 −0.372174 0.928163i \(-0.621387\pi\)
−0.372174 + 0.928163i \(0.621387\pi\)
\(152\) 2778.11 31467.4i 0.120244 1.36199i
\(153\) 35464.4i 1.51499i
\(154\) 20231.3 + 12486.2i 0.853066 + 0.526490i
\(155\) −12113.9 12113.9i −0.504222 0.504222i
\(156\) −25.7475 + 12.9139i −0.00105800 + 0.000530649i
\(157\) 1167.73 + 1167.73i 0.0473744 + 0.0473744i 0.730397 0.683023i \(-0.239335\pi\)
−0.683023 + 0.730397i \(0.739335\pi\)
\(158\) −5408.50 22847.1i −0.216652 0.915201i
\(159\) 96.2051i 0.00380543i
\(160\) 4286.05 + 10830.2i 0.167424 + 0.423055i
\(161\) 20193.3 0.779032
\(162\) −25534.1 + 6044.60i −0.972952 + 0.230323i
\(163\) 28076.2 28076.2i 1.05673 1.05673i 0.0584383 0.998291i \(-0.481388\pi\)
0.998291 0.0584383i \(-0.0186121\pi\)
\(164\) −4998.66 9966.24i −0.185851 0.370547i
\(165\) −62.6168 + 62.6168i −0.00229998 + 0.00229998i
\(166\) −22460.8 + 36393.1i −0.815098 + 1.32070i
\(167\) −2929.82 −0.105053 −0.0525264 0.998620i \(-0.516727\pi\)
−0.0525264 + 0.998620i \(0.516727\pi\)
\(168\) 18.3425 207.764i 0.000649891 0.00736125i
\(169\) 27801.8i 0.973417i
\(170\) −10462.8 + 16952.8i −0.362034 + 0.586600i
\(171\) 28269.2 + 28269.2i 0.966767 + 0.966767i
\(172\) 19705.9 + 6541.34i 0.666098 + 0.221111i
\(173\) 8560.97 + 8560.97i 0.286043 + 0.286043i 0.835513 0.549470i \(-0.185171\pi\)
−0.549470 + 0.835513i \(0.685171\pi\)
\(174\) 371.040 87.8347i 0.0122552 0.00290113i
\(175\) 24721.4i 0.807230i
\(176\) −30187.0 + 4389.23i −0.974527 + 0.141698i
\(177\) 158.150 0.00504804
\(178\) −5933.88 25066.4i −0.187283 0.791139i
\(179\) −24420.1 + 24420.1i −0.762153 + 0.762153i −0.976711 0.214558i \(-0.931169\pi\)
0.214558 + 0.976711i \(0.431169\pi\)
\(180\) −13989.9 4643.94i −0.431787 0.143331i
\(181\) −10946.5 + 10946.5i −0.334133 + 0.334133i −0.854154 0.520021i \(-0.825924\pi\)
0.520021 + 0.854154i \(0.325924\pi\)
\(182\) −4678.32 2887.33i −0.141237 0.0871674i
\(183\) −342.915 −0.0102396
\(184\) −19861.2 + 16638.8i −0.586637 + 0.491457i
\(185\) 6985.52i 0.204106i
\(186\) −334.965 206.732i −0.00968220 0.00597559i
\(187\) −36892.5 36892.5i −1.05501 1.05501i
\(188\) −802.809 1600.63i −0.0227141 0.0452871i
\(189\) 373.306 + 373.306i 0.0104506 + 0.0104506i
\(190\) 5173.26 + 21853.3i 0.143303 + 0.605356i
\(191\) 22384.9i 0.613604i 0.951773 + 0.306802i \(0.0992590\pi\)
−0.951773 + 0.306802i \(0.900741\pi\)
\(192\) 153.151 + 219.461i 0.00415450 + 0.00595326i
\(193\) −30429.5 −0.816920 −0.408460 0.912776i \(-0.633934\pi\)
−0.408460 + 0.912776i \(0.633934\pi\)
\(194\) −1607.70 + 380.584i −0.0427170 + 0.0101122i
\(195\) 14.4796 14.4796i 0.000380792 0.000380792i
\(196\) 1243.99 623.937i 0.0323822 0.0162416i
\(197\) 19093.9 19093.9i 0.491997 0.491997i −0.416938 0.908935i \(-0.636897\pi\)
0.908935 + 0.416938i \(0.136897\pi\)
\(198\) 20275.4 32852.1i 0.517177 0.837978i
\(199\) 67963.8 1.71621 0.858107 0.513470i \(-0.171640\pi\)
0.858107 + 0.513470i \(0.171640\pi\)
\(200\) 20369.9 + 24314.9i 0.509246 + 0.607872i
\(201\) 171.324i 0.00424060i
\(202\) 25136.4 40728.3i 0.616028 0.998144i
\(203\) 51458.4 + 51458.4i 1.24872 + 1.24872i
\(204\) −144.203 + 434.414i −0.00346510 + 0.0104386i
\(205\) 5604.72 + 5604.72i 0.133366 + 0.133366i
\(206\) 66201.8 15671.7i 1.56004 0.369302i
\(207\) 32790.3i 0.765253i
\(208\) 6980.48 1014.97i 0.161346 0.0234600i
\(209\) −58815.1 −1.34647
\(210\) 34.1565 + 144.287i 0.000774523 + 0.00327181i
\(211\) −55219.8 + 55219.8i −1.24031 + 1.24031i −0.280438 + 0.959872i \(0.590480\pi\)
−0.959872 + 0.280438i \(0.909520\pi\)
\(212\) 7422.30 22359.8i 0.165146 0.497503i
\(213\) 53.6790 53.6790i 0.00118316 0.00118316i
\(214\) 45099.4 + 27834.1i 0.984788 + 0.607785i
\(215\) −14760.6 −0.319322
\(216\) −674.761 59.5716i −0.0144625 0.00127683i
\(217\) 75126.4i 1.59541i
\(218\) −39997.1 24685.1i −0.841618 0.519424i
\(219\) −41.8242 41.8242i −0.000872046 0.000872046i
\(220\) 19384.2 9722.31i 0.400500 0.200874i
\(221\) 8531.07 + 8531.07i 0.174670 + 0.174670i
\(222\) −36.9731 156.185i −0.000750204 0.00316908i
\(223\) 40417.5i 0.812754i 0.913705 + 0.406377i \(0.133208\pi\)
−0.913705 + 0.406377i \(0.866792\pi\)
\(224\) −20292.3 + 46872.8i −0.404422 + 0.934168i
\(225\) −40143.2 −0.792952
\(226\) 22633.0 5357.82i 0.443124 0.104899i
\(227\) −1672.85 + 1672.85i −0.0324643 + 0.0324643i −0.723153 0.690688i \(-0.757308\pi\)
0.690688 + 0.723153i \(0.257308\pi\)
\(228\) 231.332 + 461.225i 0.00445005 + 0.00887244i
\(229\) −26519.0 + 26519.0i −0.505691 + 0.505691i −0.913201 0.407510i \(-0.866397\pi\)
0.407510 + 0.913201i \(0.366397\pi\)
\(230\) 9673.87 15674.5i 0.182871 0.296304i
\(231\) −388.328 −0.00727737
\(232\) −93012.7 8211.67i −1.72809 0.152565i
\(233\) 24163.3i 0.445087i 0.974923 + 0.222543i \(0.0714359\pi\)
−0.974923 + 0.222543i \(0.928564\pi\)
\(234\) −4688.52 + 7596.76i −0.0856257 + 0.138738i
\(235\) 900.145 + 900.145i 0.0162996 + 0.0162996i
\(236\) −36756.8 12201.4i −0.659954 0.219071i
\(237\) 271.174 + 271.174i 0.00482782 + 0.00482782i
\(238\) −85010.8 + 20124.3i −1.50079 + 0.355276i
\(239\) 76356.4i 1.33675i −0.743825 0.668374i \(-0.766990\pi\)
0.743825 0.668374i \(-0.233010\pi\)
\(240\) −152.484 113.770i −0.00264729 0.00197517i
\(241\) 40548.1 0.698130 0.349065 0.937099i \(-0.386499\pi\)
0.349065 + 0.937099i \(0.386499\pi\)
\(242\) −407.670 1722.12i −0.00696111 0.0294058i
\(243\) 909.281 909.281i 0.0153988 0.0153988i
\(244\) 79699.4 + 26456.1i 1.33867 + 0.444372i
\(245\) −699.586 + 699.586i −0.0116549 + 0.0116549i
\(246\) 154.977 + 95.6479i 0.00256093 + 0.00158054i
\(247\) 13600.5 0.222926
\(248\) 61902.3 + 73890.9i 1.00648 + 1.20140i
\(249\) 698.542i 0.0112666i
\(250\) −43387.9 26777.8i −0.694206 0.428446i
\(251\) −10536.0 10536.0i −0.167235 0.167235i 0.618528 0.785763i \(-0.287729\pi\)
−0.785763 + 0.618528i \(0.787729\pi\)
\(252\) −28980.2 57780.3i −0.456353 0.909868i
\(253\) 34110.7 + 34110.7i 0.532905 + 0.532905i
\(254\) 18767.0 + 79277.4i 0.290889 + 1.22880i
\(255\) 325.397i 0.00500419i
\(256\) −18663.5 62822.3i −0.284783 0.958592i
\(257\) 37983.9 0.575086 0.287543 0.957768i \(-0.407162\pi\)
0.287543 + 0.957768i \(0.407162\pi\)
\(258\) −330.025 + 78.1254i −0.00495800 + 0.00117369i
\(259\) 21660.9 21660.9i 0.322906 0.322906i
\(260\) −4482.43 + 2248.20i −0.0663081 + 0.0332574i
\(261\) 83559.4 83559.4i 1.22663 1.22663i
\(262\) 13115.5 21250.9i 0.191065 0.309581i
\(263\) 37545.0 0.542801 0.271400 0.962467i \(-0.412513\pi\)
0.271400 + 0.962467i \(0.412513\pi\)
\(264\) 381.941 319.972i 0.00548010 0.00459097i
\(265\) 16748.6i 0.238498i
\(266\) −51722.0 + 83804.8i −0.730992 + 1.18442i
\(267\) 297.516 + 297.516i 0.00417338 + 0.00417338i
\(268\) −13217.8 + 39818.8i −0.184031 + 0.554394i
\(269\) 4676.63 + 4676.63i 0.0646291 + 0.0646291i 0.738683 0.674053i \(-0.235448\pi\)
−0.674053 + 0.738683i \(0.735448\pi\)
\(270\) 468.605 110.931i 0.00642806 0.00152169i
\(271\) 2746.12i 0.0373922i −0.999825 0.0186961i \(-0.994049\pi\)
0.999825 0.0186961i \(-0.00595149\pi\)
\(272\) 67030.8 89840.1i 0.906018 1.21432i
\(273\) 89.7975 0.00120487
\(274\) 10153.0 + 42889.3i 0.135236 + 0.571278i
\(275\) 41759.7 41759.7i 0.552194 0.552194i
\(276\) 133.330 401.659i 0.00175029 0.00527277i
\(277\) −33056.5 + 33056.5i −0.430822 + 0.430822i −0.888908 0.458086i \(-0.848535\pi\)
0.458086 + 0.888908i \(0.348535\pi\)
\(278\) −72001.7 44437.5i −0.931650 0.574989i
\(279\) −121992. −1.56719
\(280\) 3193.29 36170.0i 0.0407307 0.461352i
\(281\) 80033.0i 1.01358i 0.862071 + 0.506788i \(0.169167\pi\)
−0.862071 + 0.506788i \(0.830833\pi\)
\(282\) 24.8901 + 15.3615i 0.000312989 + 0.000193168i
\(283\) −72284.3 72284.3i −0.902549 0.902549i 0.0931068 0.995656i \(-0.470320\pi\)
−0.995656 + 0.0931068i \(0.970320\pi\)
\(284\) −16617.3 + 8334.56i −0.206027 + 0.103335i
\(285\) −259.379 259.379i −0.00319334 0.00319334i
\(286\) −3025.35 12780.0i −0.0369866 0.156242i
\(287\) 34758.5i 0.421985i
\(288\) 76113.1 + 32951.0i 0.917645 + 0.397269i
\(289\) 108196. 1.29544
\(290\) 64595.1 15291.3i 0.768075 0.181823i
\(291\) 19.0819 19.0819i 0.000225339 0.000225339i
\(292\) 6493.91 + 12947.4i 0.0761623 + 0.151851i
\(293\) −84911.3 + 84911.3i −0.989077 + 0.989077i −0.999941 0.0108641i \(-0.996542\pi\)
0.0108641 + 0.999941i \(0.496542\pi\)
\(294\) −11.9388 + 19.3444i −0.000138124 + 0.000223800i
\(295\) 27532.6 0.316376
\(296\) −3456.61 + 39152.7i −0.0394518 + 0.446867i
\(297\) 1261.18i 0.0142977i
\(298\) 45735.0 74104.1i 0.515011 0.834468i
\(299\) −7887.81 7887.81i −0.0882296 0.0882296i
\(300\) −491.727 163.228i −0.00546363 0.00181365i
\(301\) −45770.2 45770.2i −0.505184 0.505184i
\(302\) −66061.7 + 15638.5i −0.724329 + 0.171467i
\(303\) 781.754i 0.00851500i
\(304\) −18181.6 125044.i −0.196737 1.35306i
\(305\) −59698.7 −0.641749
\(306\) 32678.2 + 138042.i 0.348992 + 1.47425i
\(307\) −55472.5 + 55472.5i −0.588574 + 0.588574i −0.937245 0.348671i \(-0.886633\pi\)
0.348671 + 0.937245i \(0.386633\pi\)
\(308\) 90254.1 + 29959.8i 0.951406 + 0.315818i
\(309\) −785.756 + 785.756i −0.00822944 + 0.00822944i
\(310\) −58314.8 35990.3i −0.606814 0.374509i
\(311\) −127048. −1.31355 −0.656777 0.754084i \(-0.728081\pi\)
−0.656777 + 0.754084i \(0.728081\pi\)
\(312\) −88.3207 + 73.9909i −0.000907305 + 0.000760097i
\(313\) 25469.3i 0.259974i 0.991516 + 0.129987i \(0.0414935\pi\)
−0.991516 + 0.129987i \(0.958507\pi\)
\(314\) 5621.29 + 3469.31i 0.0570134 + 0.0351871i
\(315\) 32493.9 + 32493.9i 0.327477 + 0.327477i
\(316\) −42104.3 83946.9i −0.421650 0.840679i
\(317\) −94218.4 94218.4i −0.937599 0.937599i 0.0605656 0.998164i \(-0.480710\pi\)
−0.998164 + 0.0605656i \(0.980710\pi\)
\(318\) 88.6470 + 374.471i 0.000876617 + 0.00370309i
\(319\) 173848.i 1.70840i
\(320\) 26662.4 + 38206.4i 0.260375 + 0.373109i
\(321\) −865.654 −0.00840107
\(322\) 78600.8 18606.9i 0.758080 0.179457i
\(323\) 152821. 152821.i 1.46480 1.46480i
\(324\) −93820.0 + 47056.2i −0.893728 + 0.448257i
\(325\) −9656.57 + 9656.57i −0.0914232 + 0.0914232i
\(326\) 83414.1 135155.i 0.784882 1.27174i
\(327\) 767.719 0.00717971
\(328\) −28640.2 34186.9i −0.266212 0.317769i
\(329\) 5582.38i 0.0515737i
\(330\) −186.034 + 301.429i −0.00170830 + 0.00276794i
\(331\) 65141.3 + 65141.3i 0.594567 + 0.594567i 0.938862 0.344295i \(-0.111882\pi\)
−0.344295 + 0.938862i \(0.611882\pi\)
\(332\) −53893.1 + 162354.i −0.488942 + 1.47294i
\(333\) −35173.4 35173.4i −0.317195 0.317195i
\(334\) −11404.1 + 2699.64i −0.102227 + 0.0241999i
\(335\) 29826.2i 0.265771i
\(336\) −120.045 825.606i −0.00106332 0.00731298i
\(337\) 135004. 1.18874 0.594369 0.804193i \(-0.297402\pi\)
0.594369 + 0.804193i \(0.297402\pi\)
\(338\) −25617.6 108216.i −0.224236 0.947238i
\(339\) −268.633 + 268.633i −0.00233754 + 0.00233754i
\(340\) −25104.7 + 75628.1i −0.217168 + 0.654222i
\(341\) 126904. 126904.i 1.09136 1.09136i
\(342\) 136084. + 83987.4i 1.16347 + 0.718062i
\(343\) 115422. 0.981075
\(344\) 82730.9 + 7303.94i 0.699119 + 0.0617221i
\(345\) 300.862i 0.00252772i
\(346\) 41211.3 + 25434.5i 0.344242 + 0.212457i
\(347\) 10849.2 + 10849.2i 0.0901025 + 0.0901025i 0.750721 0.660619i \(-0.229706\pi\)
−0.660619 + 0.750721i \(0.729706\pi\)
\(348\) 1363.31 683.780i 0.0112573 0.00564622i
\(349\) −6073.15 6073.15i −0.0498612 0.0498612i 0.681737 0.731598i \(-0.261225\pi\)
−0.731598 + 0.681737i \(0.761225\pi\)
\(350\) −22779.3 96226.2i −0.185953 0.785520i
\(351\) 291.638i 0.00236717i
\(352\) −113456. + 44900.1i −0.915676 + 0.362378i
\(353\) −143445. −1.15116 −0.575579 0.817746i \(-0.695223\pi\)
−0.575579 + 0.817746i \(0.695223\pi\)
\(354\) 615.586 145.725i 0.00491227 0.00116286i
\(355\) 9345.08 9345.08i 0.0741526 0.0741526i
\(356\) −46194.3 92101.5i −0.364492 0.726719i
\(357\) 1009.00 1009.00i 0.00791690 0.00791690i
\(358\) −72551.9 + 117555.i −0.566086 + 0.917225i
\(359\) 124076. 0.962718 0.481359 0.876523i \(-0.340143\pi\)
0.481359 + 0.876523i \(0.340143\pi\)
\(360\) −58733.7 5185.34i −0.453192 0.0400103i
\(361\) 113310.i 0.869472i
\(362\) −32522.0 + 52695.0i −0.248176 + 0.402117i
\(363\) 20.4400 + 20.4400i 0.000155120 + 0.000155120i
\(364\) −20870.5 6927.94i −0.157518 0.0522879i
\(365\) −7281.26 7281.26i −0.0546538 0.0546538i
\(366\) −1334.77 + 315.974i −0.00996423 + 0.00235879i
\(367\) 126240.i 0.937268i 0.883392 + 0.468634i \(0.155254\pi\)
−0.883392 + 0.468634i \(0.844746\pi\)
\(368\) −61976.6 + 83066.0i −0.457648 + 0.613377i
\(369\) 56441.7 0.414521
\(370\) −6436.72 27190.6i −0.0470177 0.198616i
\(371\) −51934.3 + 51934.3i −0.377317 + 0.377317i
\(372\) −1494.32 496.037i −0.0107983 0.00358450i
\(373\) −95513.7 + 95513.7i −0.686512 + 0.686512i −0.961459 0.274948i \(-0.911339\pi\)
0.274948 + 0.961459i \(0.411339\pi\)
\(374\) −177595. 109607.i −1.26966 0.783601i
\(375\) 832.804 0.00592216
\(376\) −4599.75 5490.58i −0.0325356 0.0388367i
\(377\) 40200.9i 0.282848i
\(378\) 1797.04 + 1109.09i 0.0125769 + 0.00776214i
\(379\) −31220.0 31220.0i −0.217347 0.217347i 0.590032 0.807380i \(-0.299115\pi\)
−0.807380 + 0.590032i \(0.799115\pi\)
\(380\) 40273.0 + 80295.6i 0.278899 + 0.556064i
\(381\) −940.951 940.951i −0.00648212 0.00648212i
\(382\) 20626.3 + 87131.5i 0.141350 + 0.597102i
\(383\) 253102.i 1.72543i −0.505689 0.862716i \(-0.668762\pi\)
0.505689 0.862716i \(-0.331238\pi\)
\(384\) 798.350 + 713.115i 0.00541415 + 0.00483612i
\(385\) −67604.7 −0.456095
\(386\) −118444. + 28038.9i −0.794950 + 0.188185i
\(387\) −74322.6 + 74322.6i −0.496248 + 0.496248i
\(388\) −5907.15 + 2962.78i −0.0392387 + 0.0196805i
\(389\) −43279.4 + 43279.4i −0.286011 + 0.286011i −0.835500 0.549490i \(-0.814822\pi\)
0.549490 + 0.835500i \(0.314822\pi\)
\(390\) 43.0187 69.7028i 0.000282832 0.000458270i
\(391\) −177261. −1.15947
\(392\) 4267.23 3574.89i 0.0277699 0.0232643i
\(393\) 407.898i 0.00264099i
\(394\) 56727.7 91915.4i 0.365429 0.592101i
\(395\) 47209.2 + 47209.2i 0.302575 + 0.302575i
\(396\) 48649.4 146557.i 0.310232 0.934578i
\(397\) 198533. + 198533.i 1.25965 + 1.25965i 0.951258 + 0.308395i \(0.0997920\pi\)
0.308395 + 0.951258i \(0.400208\pi\)
\(398\) 264544. 62624.4i 1.67006 0.395346i
\(399\) 1608.58i 0.0101041i
\(400\) 101693. + 75874.2i 0.635579 + 0.474214i
\(401\) −89330.8 −0.555536 −0.277768 0.960648i \(-0.589595\pi\)
−0.277768 + 0.960648i \(0.589595\pi\)
\(402\) −157.865 666.867i −0.000976861 0.00412655i
\(403\) −29345.5 + 29345.5i −0.180689 + 0.180689i
\(404\) 60312.9 181693.i 0.369528 1.11321i
\(405\) 52761.6 52761.6i 0.321668 0.321668i
\(406\) 247714. + 152882.i 1.50279 + 0.927481i
\(407\) 73179.5 0.441775
\(408\) −161.015 + 1823.80i −0.000967266 + 0.0109561i
\(409\) 26716.3i 0.159709i −0.996807 0.0798545i \(-0.974554\pi\)
0.996807 0.0798545i \(-0.0254456\pi\)
\(410\) 26980.3 + 16651.5i 0.160502 + 0.0990573i
\(411\) −509.057 509.057i −0.00301358 0.00301358i
\(412\) 243245. 122002.i 1.43301 0.718739i
\(413\) 85373.9 + 85373.9i 0.500524 + 0.500524i
\(414\) −30214.2 127634.i −0.176283 0.744672i
\(415\) 121611.i 0.706115i
\(416\) 26235.7 10382.8i 0.151603 0.0599966i
\(417\) 1382.03 0.00794775
\(418\) −228933. + 54194.5i −1.31026 + 0.310172i
\(419\) −119011. + 119011.i −0.677889 + 0.677889i −0.959522 0.281633i \(-0.909124\pi\)
0.281633 + 0.959522i \(0.409124\pi\)
\(420\) 265.903 + 530.153i 0.00150739 + 0.00300540i
\(421\) 126967. 126967.i 0.716355 0.716355i −0.251502 0.967857i \(-0.580925\pi\)
0.967857 + 0.251502i \(0.0809245\pi\)
\(422\) −164057. + 265821.i −0.921236 + 1.49267i
\(423\) 9064.80 0.0506614
\(424\) 8287.61 93872.8i 0.0460996 0.522166i
\(425\) 217010.i 1.20144i
\(426\) 159.479 258.403i 0.000878791 0.00142390i
\(427\) −185115. 185115.i −1.01528 1.01528i
\(428\) 201193. + 66785.9i 1.09831 + 0.364584i
\(429\) 151.687 + 151.687i 0.000824201 + 0.000824201i
\(430\) −57454.7 + 13601.0i −0.310734 + 0.0735587i
\(431\) 82986.1i 0.446736i −0.974734 0.223368i \(-0.928295\pi\)
0.974734 0.223368i \(-0.0717051\pi\)
\(432\) −2681.35 + 389.872i −0.0143676 + 0.00208908i
\(433\) −153228. −0.817265 −0.408633 0.912699i \(-0.633994\pi\)
−0.408633 + 0.912699i \(0.633994\pi\)
\(434\) −69224.3 292424.i −0.367518 1.55251i
\(435\) −766.685 + 766.685i −0.00405171 + 0.00405171i
\(436\) −178431. 59230.1i −0.938638 0.311580i
\(437\) −141298. + 141298.i −0.739899 + 0.739899i
\(438\) −201.336 124.259i −0.00104948 0.000647709i
\(439\) 48984.2 0.254172 0.127086 0.991892i \(-0.459438\pi\)
0.127086 + 0.991892i \(0.459438\pi\)
\(440\) 66492.9 55704.7i 0.343455 0.287731i
\(441\) 7045.09i 0.0362251i
\(442\) 41067.4 + 25345.7i 0.210210 + 0.129736i
\(443\) 5464.01 + 5464.01i 0.0278422 + 0.0278422i 0.720891 0.693049i \(-0.243733\pi\)
−0.693049 + 0.720891i \(0.743733\pi\)
\(444\) −287.830 573.870i −0.00146006 0.00291104i
\(445\) 51795.1 + 51795.1i 0.261559 + 0.261559i
\(446\) 37242.2 + 157322.i 0.187226 + 0.790896i
\(447\) 1422.38i 0.00711870i
\(448\) −35795.7 + 201147.i −0.178351 + 1.00221i
\(449\) 140068. 0.694776 0.347388 0.937721i \(-0.387069\pi\)
0.347388 + 0.937721i \(0.387069\pi\)
\(450\) −156254. + 36989.5i −0.771626 + 0.182664i
\(451\) −58714.4 + 58714.4i −0.288664 + 0.288664i
\(452\) 83160.3 41709.8i 0.407042 0.204155i
\(453\) 784.092 784.092i 0.00382094 0.00382094i
\(454\) −4970.02 + 8052.88i −0.0241127 + 0.0390696i
\(455\) 15633.0 0.0755127
\(456\) 1325.43 + 1582.13i 0.00637422 + 0.00760871i
\(457\) 219788.i 1.05238i −0.850368 0.526188i \(-0.823621\pi\)
0.850368 0.526188i \(-0.176379\pi\)
\(458\) −78787.4 + 127659.i −0.375600 + 0.608582i
\(459\) −3276.96 3276.96i −0.0155541 0.0155541i
\(460\) 23211.7 69925.6i 0.109696 0.330461i
\(461\) 124163. + 124163.i 0.584239 + 0.584239i 0.936065 0.351826i \(-0.114439\pi\)
−0.351826 + 0.936065i \(0.614439\pi\)
\(462\) −1511.54 + 357.820i −0.00708165 + 0.00167641i
\(463\) 236566.i 1.10354i −0.833995 0.551772i \(-0.813952\pi\)
0.833995 0.551772i \(-0.186048\pi\)
\(464\) −369611. + 53742.1i −1.71676 + 0.249619i
\(465\) 1119.32 0.00517663
\(466\) 22265.0 + 94053.8i 0.102530 + 0.433116i
\(467\) 73415.5 73415.5i 0.336631 0.336631i −0.518467 0.855098i \(-0.673497\pi\)
0.855098 + 0.518467i \(0.173497\pi\)
\(468\) −11249.8 + 33890.0i −0.0513631 + 0.154732i
\(469\) 92485.8 92485.8i 0.420465 0.420465i
\(470\) 4333.17 + 2674.32i 0.0196160 + 0.0121065i
\(471\) −107.897 −0.000486372
\(472\) −154316. 13623.9i −0.692670 0.0611528i
\(473\) 154631.i 0.691153i
\(474\) 1305.39 + 805.654i 0.00581012 + 0.00358585i
\(475\) 172982. + 172982.i 0.766681 + 0.766681i
\(476\) −312355. + 156664.i −1.37859 + 0.691442i
\(477\) 84332.1 + 84332.1i 0.370643 + 0.370643i
\(478\) −70357.7 297211.i −0.307933 1.30080i
\(479\) 212004.i 0.924003i 0.886879 + 0.462002i \(0.152869\pi\)
−0.886879 + 0.462002i \(0.847131\pi\)
\(480\) −698.363 302.337i −0.00303109 0.00131223i
\(481\) −16922.1 −0.0731417
\(482\) 157830. 37362.5i 0.679354 0.160821i
\(483\) −932.920 + 932.920i −0.00399899 + 0.00399899i
\(484\) −3173.65 6327.57i −0.0135478 0.0270113i
\(485\) 3322.01 3322.01i 0.0141227 0.0141227i
\(486\) 2701.46 4377.15i 0.0114374 0.0185319i
\(487\) 26716.3 0.112647 0.0563234 0.998413i \(-0.482062\pi\)
0.0563234 + 0.998413i \(0.482062\pi\)
\(488\) 334601. + 29540.4i 1.40504 + 0.124044i
\(489\) 2594.22i 0.0108490i
\(490\) −2078.46 + 3367.71i −0.00865664 + 0.0140263i
\(491\) 99544.8 + 99544.8i 0.412910 + 0.412910i 0.882751 0.469841i \(-0.155689\pi\)
−0.469841 + 0.882751i \(0.655689\pi\)
\(492\) 691.371 + 229.500i 0.00285615 + 0.000948096i
\(493\) −451714. 451714.i −1.85853 1.85853i
\(494\) 52938.9 12532.0i 0.216931 0.0513531i
\(495\) 109778.i 0.448028i
\(496\) 309036. + 230575.i 1.25616 + 0.937238i
\(497\) 57954.9 0.234627
\(498\) −643.663 2719.02i −0.00259537 0.0109636i
\(499\) 189887. 189887.i 0.762597 0.762597i −0.214194 0.976791i \(-0.568713\pi\)
0.976791 + 0.214194i \(0.0687125\pi\)
\(500\) −193558. 64251.5i −0.774233 0.257006i
\(501\) 135.356 135.356i 0.000539265 0.000539265i
\(502\) −50718.8 31302.3i −0.201262 0.124213i
\(503\) 188872. 0.746502 0.373251 0.927730i \(-0.378243\pi\)
0.373251 + 0.927730i \(0.378243\pi\)
\(504\) −166044. 198202.i −0.653676 0.780273i
\(505\) 136097.i 0.533662i
\(506\) 164204. + 101342.i 0.641332 + 0.395813i
\(507\) 1284.43 + 1284.43i 0.00499682 + 0.00499682i
\(508\) 146098. + 291289.i 0.566132 + 1.12875i
\(509\) −14343.5 14343.5i −0.0553629 0.0553629i 0.678883 0.734246i \(-0.262464\pi\)
−0.734246 + 0.678883i \(0.762464\pi\)
\(510\) −299.833 1266.58i −0.00115276 0.00486961i
\(511\) 45155.8i 0.172931i
\(512\) −130533. 227334.i −0.497944 0.867209i
\(513\) −5224.23 −0.0198513
\(514\) 147849. 34999.8i 0.559620 0.132477i
\(515\) −136794. + 136794.i −0.515765 + 0.515765i
\(516\) −1212.61 + 608.194i −0.00455429 + 0.00228425i
\(517\) −9429.82 + 9429.82i −0.0352795 + 0.0352795i
\(518\) 64354.1 104272.i 0.239837 0.388606i
\(519\) −791.025 −0.00293667
\(520\) −15375.9 + 12881.2i −0.0568636 + 0.0476377i
\(521\) 65377.4i 0.240853i 0.992722 + 0.120427i \(0.0384262\pi\)
−0.992722 + 0.120427i \(0.961574\pi\)
\(522\) 248254. 402243.i 0.911076 1.47621i
\(523\) −143634. 143634.i −0.525113 0.525113i 0.393998 0.919111i \(-0.371092\pi\)
−0.919111 + 0.393998i \(0.871092\pi\)
\(524\) 31469.6 94802.6i 0.114612 0.345269i
\(525\) 1142.12 + 1142.12i 0.00414374 + 0.00414374i
\(526\) 146141. 34595.4i 0.528203 0.125039i
\(527\) 659477.i 2.37453i
\(528\) 1191.84 1597.40i 0.00427515 0.00572989i
\(529\) −115946. −0.414327
\(530\) 15432.7 + 65192.4i 0.0549404 + 0.232084i
\(531\) 138632. 138632.i 0.491671 0.491671i
\(532\) −124103. + 373862.i −0.438490 + 1.32096i
\(533\) 13577.2 13577.2i 0.0477921 0.0477921i
\(534\) 1432.20 + 883.915i 0.00502251 + 0.00309976i
\(535\) −150704. −0.526521
\(536\) −14758.8 + 167171.i −0.0513713 + 0.581877i
\(537\) 2256.40i 0.00782469i
\(538\) 22512.6 + 13894.2i 0.0777789 + 0.0480030i
\(539\) −7328.78 7328.78i −0.0252263 0.0252263i
\(540\) 1721.79 863.581i 0.00590464 0.00296153i
\(541\) −275122. 275122.i −0.940007 0.940007i 0.0582928 0.998300i \(-0.481434\pi\)
−0.998300 + 0.0582928i \(0.981434\pi\)
\(542\) −2530.38 10689.0i −0.00861363 0.0363865i
\(543\) 1011.45i 0.00343039i
\(544\) 178130. 411460.i 0.601921 1.39037i
\(545\) 133654. 0.449975
\(546\) 349.530 82.7427i 0.00117246 0.000277552i
\(547\) −1032.53 + 1032.53i −0.00345087 + 0.00345087i −0.708830 0.705379i \(-0.750777\pi\)
0.705379 + 0.708830i \(0.250777\pi\)
\(548\) 79039.6 + 157588.i 0.263199 + 0.524761i
\(549\) −300594. + 300594.i −0.997323 + 0.997323i
\(550\) 124067. 201025.i 0.410140 0.664547i
\(551\) −720136. −2.37198
\(552\) 148.874 1686.28i 0.000488586 0.00553416i
\(553\) 292775.i 0.957379i
\(554\) −98210.4 + 159129.i −0.319991 + 0.518479i
\(555\) 322.727 + 322.727i 0.00104773 + 0.00104773i
\(556\) −321207. 106624.i −1.03905 0.344911i
\(557\) −223266. 223266.i −0.719635 0.719635i 0.248895 0.968530i \(-0.419933\pi\)
−0.968530 + 0.248895i \(0.919933\pi\)
\(558\) −474844. + 112408.i −1.52505 + 0.361018i
\(559\) 35757.1i 0.114430i
\(560\) −20898.8 143731.i −0.0666416 0.458327i
\(561\) 3408.83 0.0108313
\(562\) 73745.4 + 311522.i 0.233487 + 0.986317i
\(563\) 191551. 191551.i 0.604322 0.604322i −0.337134 0.941457i \(-0.609458\pi\)
0.941457 + 0.337134i \(0.109458\pi\)
\(564\) 111.038 + 36.8588i 0.000349069 + 0.000115873i
\(565\) −46766.9 + 46766.9i −0.146501 + 0.146501i
\(566\) −347966. 214755.i −1.08619 0.670365i
\(567\) 327209. 1.01779
\(568\) −57001.8 + 47753.4i −0.176682 + 0.148016i
\(569\) 119746.i 0.369858i −0.982752 0.184929i \(-0.940795\pi\)
0.982752 0.184929i \(-0.0592055\pi\)
\(570\) −1248.62 770.612i −0.00384308 0.00237184i
\(571\) 375516. + 375516.i 1.15175 + 1.15175i 0.986202 + 0.165544i \(0.0529379\pi\)
0.165544 + 0.986202i \(0.447062\pi\)
\(572\) −23551.9 46957.4i −0.0719837 0.143520i
\(573\) −1034.17 1034.17i −0.00314980 0.00314980i
\(574\) 32027.8 + 135295.i 0.0972083 + 0.410636i
\(575\) 200647.i 0.606873i
\(576\) 326627. + 58125.9i 0.984480 + 0.175196i
\(577\) 185281. 0.556518 0.278259 0.960506i \(-0.410243\pi\)
0.278259 + 0.960506i \(0.410243\pi\)
\(578\) 421145. 99696.0i 1.26060 0.298416i
\(579\) 1405.83 1405.83i 0.00419348 0.00419348i
\(580\) 237341. 119041.i 0.705533 0.353866i
\(581\) 377093. 377093.i 1.11711 1.11711i
\(582\) 56.6920 91.8576i 0.000167369 0.000271187i
\(583\) −175456. −0.516216
\(584\) 37207.3 + 44413.2i 0.109094 + 0.130223i
\(585\) 25385.3i 0.0741771i
\(586\) −252270. + 408751.i −0.734633 + 1.19032i
\(587\) −483071. 483071.i −1.40196 1.40196i −0.793875 0.608081i \(-0.791940\pi\)
−0.608081 0.793875i \(-0.708060\pi\)
\(588\) −28.6464 + 86.2975i −8.28543e−5 + 0.000249599i
\(589\) 525679. + 525679.i 1.51527 + 1.51527i
\(590\) 107169. 25369.6i 0.307868 0.0728803i
\(591\) 1764.26i 0.00505112i
\(592\) 22622.1 + 155584.i 0.0645491 + 0.443936i
\(593\) 636299. 1.80947 0.904736 0.425973i \(-0.140068\pi\)
0.904736 + 0.425973i \(0.140068\pi\)
\(594\) 1162.10 + 4909.06i 0.00329360 + 0.0139131i
\(595\) 175659. 175659.i 0.496177 0.496177i
\(596\) 109738. 330586.i 0.308933 0.930663i
\(597\) −3139.90 + 3139.90i −0.00880981 + 0.00880981i
\(598\) −37970.8 23434.6i −0.106181 0.0655322i
\(599\) 410280. 1.14347 0.571737 0.820437i \(-0.306270\pi\)
0.571737 + 0.820437i \(0.306270\pi\)
\(600\) −2064.41 182.258i −0.00573448 0.000506271i
\(601\) 531872.i 1.47251i 0.676704 + 0.736255i \(0.263408\pi\)
−0.676704 + 0.736255i \(0.736592\pi\)
\(602\) −220331. 135982.i −0.607971 0.375223i
\(603\) −150181. 150181.i −0.413028 0.413028i
\(604\) −242730. + 121743.i −0.665349 + 0.333712i
\(605\) 3558.44 + 3558.44i 0.00972184 + 0.00972184i
\(606\) 720.337 + 3042.92i 0.00196151 + 0.00828599i
\(607\) 505448.i 1.37182i −0.727684 0.685912i \(-0.759403\pi\)
0.727684 0.685912i \(-0.240597\pi\)
\(608\) −185991. 469972.i −0.503135 1.27135i
\(609\) −4754.71 −0.0128200
\(610\) −232373. + 55008.6i −0.624489 + 0.147833i
\(611\) 2180.57 2180.57i 0.00584099 0.00584099i
\(612\) 254395. + 507208.i 0.679212 + 1.35420i
\(613\) −31334.4 + 31334.4i −0.0833873 + 0.0833873i −0.747570 0.664183i \(-0.768780\pi\)
0.664183 + 0.747570i \(0.268780\pi\)
\(614\) −164808. + 267037.i −0.437161 + 0.708329i
\(615\) −517.871 −0.00136921
\(616\) 378913. + 33452.6i 0.998570 + 0.0881592i
\(617\) 481833.i 1.26569i −0.774280 0.632844i \(-0.781888\pi\)
0.774280 0.632844i \(-0.218112\pi\)
\(618\) −2334.47 + 3782.52i −0.00611239 + 0.00990385i
\(619\) 55035.5 + 55035.5i 0.143635 + 0.143635i 0.775268 0.631632i \(-0.217615\pi\)
−0.631632 + 0.775268i \(0.717615\pi\)
\(620\) −260149. 86356.1i −0.676766 0.224652i
\(621\) 3029.87 + 3029.87i 0.00785672 + 0.00785672i
\(622\) −494526. + 117067.i −1.27823 + 0.302590i
\(623\) 321215.i 0.827599i
\(624\) −275.603 + 369.386i −0.000707808 + 0.000948661i
\(625\) −164779. −0.421834
\(626\) 23468.4 + 99137.5i 0.0598873 + 0.252982i
\(627\) 2717.23 2717.23i 0.00691180 0.00691180i
\(628\) 25077.2 + 8324.36i 0.0635858 + 0.0211072i
\(629\) −190144. + 190144.i −0.480597 + 0.480597i
\(630\) 156421. + 96538.9i 0.394107 + 0.243232i
\(631\) −188802. −0.474184 −0.237092 0.971487i \(-0.576194\pi\)
−0.237092 + 0.971487i \(0.576194\pi\)
\(632\) −241240. 287960.i −0.603969 0.720939i
\(633\) 5102.26i 0.0127337i
\(634\) −453554. 279921.i −1.12837 0.696398i
\(635\) −163812. 163812.i −0.406255 0.406255i
\(636\) 690.103 + 1375.92i 0.00170608 + 0.00340156i
\(637\) 1694.72 + 1694.72i 0.00417656 + 0.00417656i
\(638\) 160190. + 676691.i 0.393545 + 1.66245i
\(639\) 94108.5i 0.230477i
\(640\) 138986. + 124148.i 0.339322 + 0.303095i
\(641\) −442081. −1.07593 −0.537967 0.842966i \(-0.680807\pi\)
−0.537967 + 0.842966i \(0.680807\pi\)
\(642\) −3369.49 + 797.646i −0.00817512 + 0.00193526i
\(643\) −246339. + 246339.i −0.595814 + 0.595814i −0.939196 0.343382i \(-0.888427\pi\)
0.343382 + 0.939196i \(0.388427\pi\)
\(644\) 288802. 144851.i 0.696353 0.349262i
\(645\) 681.935 681.935i 0.00163917 0.00163917i
\(646\) 454028. 735657.i 1.08797 1.76283i
\(647\) −54549.4 −0.130311 −0.0651555 0.997875i \(-0.520754\pi\)
−0.0651555 + 0.997875i \(0.520754\pi\)
\(648\) −321828. + 269612.i −0.766431 + 0.642080i
\(649\) 288429.i 0.684778i
\(650\) −28689.5 + 46485.4i −0.0679042 + 0.110025i
\(651\) 3470.80 + 3470.80i 0.00818970 + 0.00818970i
\(652\) 200146. 602942.i 0.470816 1.41834i
\(653\) 231745. + 231745.i 0.543481 + 0.543481i 0.924548 0.381066i \(-0.124443\pi\)
−0.381066 + 0.924548i \(0.624443\pi\)
\(654\) 2988.29 707.405i 0.00698661 0.00165391i
\(655\) 71011.8i 0.165519i
\(656\) −142981. 106680.i −0.332254 0.247899i
\(657\) −73325.0 −0.169872
\(658\) 5143.82 + 21729.0i 0.0118805 + 0.0501866i
\(659\) −479757. + 479757.i −1.10472 + 1.10472i −0.110883 + 0.993833i \(0.535368\pi\)
−0.993833 + 0.110883i \(0.964632\pi\)
\(660\) −446.374 + 1344.71i −0.00102473 + 0.00308702i
\(661\) 515798. 515798.i 1.18053 1.18053i 0.200922 0.979607i \(-0.435606\pi\)
0.979607 0.200922i \(-0.0643937\pi\)
\(662\) 313581. + 193534.i 0.715541 + 0.441612i
\(663\) −788.263 −0.00179326
\(664\) −60176.1 + 681608.i −0.136486 + 1.54596i
\(665\) 280041.i 0.633254i
\(666\) −169320. 104500.i −0.381733 0.235595i
\(667\) 417654. + 417654.i 0.938782 + 0.938782i
\(668\) −41902.0 + 21016.3i −0.0939034 + 0.0470981i
\(669\) −1867.27 1867.27i −0.00417210 0.00417210i
\(670\) −27483.0 116096.i −0.0612230 0.258624i
\(671\) 625397.i 1.38903i
\(672\) −1228.01 3102.99i −0.00271934 0.00687136i
\(673\) −505551. −1.11618 −0.558090 0.829780i \(-0.688466\pi\)
−0.558090 + 0.829780i \(0.688466\pi\)
\(674\) 525492. 124398.i 1.15677 0.273837i
\(675\) 3709.29 3709.29i 0.00814111 0.00814111i
\(676\) −199429. 397618.i −0.436410 0.870107i
\(677\) −460825. + 460825.i −1.00545 + 1.00545i −0.00546007 + 0.999985i \(0.501738\pi\)
−0.999985 + 0.00546007i \(0.998262\pi\)
\(678\) −798.104 + 1293.16i −0.00173620 + 0.00281315i
\(679\) 20601.9 0.0446857
\(680\) −28031.4 + 317509.i −0.0606216 + 0.686654i
\(681\) 154.570i 0.000333297i
\(682\) 377031. 610900.i 0.810603 1.31341i
\(683\) 120242. + 120242.i 0.257761 + 0.257761i 0.824143 0.566382i \(-0.191657\pi\)
−0.566382 + 0.824143i \(0.691657\pi\)
\(684\) 607086. + 201522.i 1.29759 + 0.430734i
\(685\) −88622.7 88622.7i −0.188870 0.188870i
\(686\) 449273. 106355.i 0.954690 0.226000i
\(687\) 2450.33i 0.00519171i
\(688\) 328754. 47801.4i 0.694535 0.100987i
\(689\) 40572.7 0.0854664
\(690\) 277.225 + 1171.08i 0.000582284 + 0.00245974i
\(691\) 166965. 166965.i 0.349678 0.349678i −0.510311 0.859990i \(-0.670470\pi\)
0.859990 + 0.510311i \(0.170470\pi\)
\(692\) 183848. + 61028.2i 0.383926 + 0.127444i
\(693\) −340403. + 340403.i −0.708805 + 0.708805i
\(694\) 52226.3 + 32232.7i 0.108435 + 0.0669233i
\(695\) 240600. 0.498111
\(696\) 4676.51 3917.76i 0.00965392 0.00808760i
\(697\) 305118.i 0.628062i
\(698\) −29235.3 18043.2i −0.0600062 0.0370342i
\(699\) −1116.33 1116.33i −0.00228475 0.00228475i
\(700\) −177333. 353564.i −0.361904 0.721558i
\(701\) 39689.8 + 39689.8i 0.0807687 + 0.0807687i 0.746337 0.665568i \(-0.231811\pi\)
−0.665568 + 0.746337i \(0.731811\pi\)
\(702\) −268.726 1135.18i −0.000545300 0.00230351i
\(703\) 303133.i 0.613371i
\(704\) −400246. + 279313.i −0.807573 + 0.563567i
\(705\) −83.1725 −0.000167341
\(706\) −558347. + 132175.i −1.12020 + 0.265180i
\(707\) −422013. + 422013.i −0.844281 + 0.844281i
\(708\) 2261.85 1134.45i 0.00451228 0.00226318i
\(709\) 250742. 250742.i 0.498809 0.498809i −0.412258 0.911067i \(-0.635260\pi\)
0.911067 + 0.412258i \(0.135260\pi\)
\(710\) 27764.1 44985.9i 0.0550766 0.0892401i
\(711\) 475415. 0.940445
\(712\) −264674. 315933.i −0.522096 0.623210i
\(713\) 609751.i 1.19943i
\(714\) 2997.73 4857.19i 0.00588024 0.00952771i
\(715\) 26407.5 + 26407.5i 0.0516553 + 0.0516553i
\(716\) −174083. + 524426.i −0.339570 + 1.02296i
\(717\) 3527.63 + 3527.63i 0.00686190 + 0.00686190i
\(718\) 482957. 114328.i 0.936826 0.221771i
\(719\) 133454.i 0.258152i 0.991635 + 0.129076i \(0.0412011\pi\)
−0.991635 + 0.129076i \(0.958799\pi\)
\(720\) −233394. + 33935.9i −0.450221 + 0.0654628i
\(721\) −848347. −1.63194
\(722\) −104409. 441052.i −0.200291 0.846088i
\(723\) −1873.30 + 1873.30i −0.00358370 + 0.00358370i
\(724\) −78034.0 + 235078.i −0.148870 + 0.448472i
\(725\) 511309. 511309.i 0.972763 0.972763i
\(726\) 98.3952 + 60.7269i 0.000186681 + 0.000115215i
\(727\) 583370. 1.10376 0.551881 0.833923i \(-0.313910\pi\)
0.551881 + 0.833923i \(0.313910\pi\)
\(728\) −87620.5 7735.62i −0.165327 0.0145959i
\(729\) 531273.i 0.999684i
\(730\) −35051.0 21632.5i −0.0657740 0.0405939i
\(731\) 401781. + 401781.i 0.751891 + 0.751891i
\(732\) −4904.33 + 2459.81i −0.00915288 + 0.00459071i
\(733\) 534516. + 534516.i 0.994838 + 0.994838i 0.999987 0.00514857i \(-0.00163885\pi\)
−0.00514857 + 0.999987i \(0.501639\pi\)
\(734\) 116322. + 491378.i 0.215909 + 0.912061i
\(735\) 64.6410i 0.000119656i
\(736\) −164699. + 380435.i −0.304043 + 0.702304i
\(737\) 312456. 0.575247
\(738\) 219695. 52007.5i 0.403373 0.0954889i
\(739\) −91929.4 + 91929.4i −0.168332 + 0.168332i −0.786246 0.617914i \(-0.787978\pi\)
0.617914 + 0.786246i \(0.287978\pi\)
\(740\) −50108.9 99906.2i −0.0915063 0.182444i
\(741\) −628.336 + 628.336i −0.00114434 + 0.00114434i
\(742\) −154296. + 250005.i −0.280251 + 0.454088i
\(743\) 83329.2 0.150945 0.0754727 0.997148i \(-0.475953\pi\)
0.0754727 + 0.997148i \(0.475953\pi\)
\(744\) −6273.58 553.866i −0.0113336 0.00100060i
\(745\) 247625.i 0.446151i
\(746\) −283770. + 459789.i −0.509904 + 0.826193i
\(747\) −612333. 612333.i −1.09735 1.09735i
\(748\) −792272. 262994.i −1.41602 0.470048i
\(749\) −467305. 467305.i −0.832985 0.832985i
\(750\) 3241.62 767.377i 0.00576289 0.00136422i
\(751\) 318689.i 0.565051i −0.959260 0.282525i \(-0.908828\pi\)
0.959260 0.282525i \(-0.0911722\pi\)
\(752\) −22963.4 17133.3i −0.0406069 0.0302973i
\(753\) 973.515 0.00171693
\(754\) −37042.7 156479.i −0.0651567 0.275241i
\(755\) 136504. 136504.i 0.239470 0.239470i
\(756\) 8016.80 + 2661.17i 0.0140268 + 0.00465617i
\(757\) −428881. + 428881.i −0.748419 + 0.748419i −0.974182 0.225763i \(-0.927512\pi\)
0.225763 + 0.974182i \(0.427512\pi\)
\(758\) −150288. 92754.0i −0.261570 0.161434i
\(759\) −3151.80 −0.00547110
\(760\) 230747. + 275435.i 0.399493 + 0.476862i
\(761\) 718933.i 1.24142i 0.784040 + 0.620711i \(0.213156\pi\)
−0.784040 + 0.620711i \(0.786844\pi\)
\(762\) −4529.61 2795.55i −0.00780100 0.00481457i
\(763\) 414437. + 414437.i 0.711884 + 0.711884i
\(764\) 160572. + 320147.i 0.275096 + 0.548482i
\(765\) −285239. 285239.i −0.487401 0.487401i
\(766\) −233218. 985179.i −0.397469 1.67903i
\(767\) 66696.8i 0.113374i
\(768\) 3764.60 + 2040.11i 0.00638259 + 0.00345885i
\(769\) 421326. 0.712468 0.356234 0.934397i \(-0.384061\pi\)
0.356234 + 0.934397i \(0.384061\pi\)
\(770\) −263146. + 62293.6i −0.443829 + 0.105066i