Properties

Label 192.2.r.a.61.5
Level $192$
Weight $2$
Character 192.61
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 61.5
Character \(\chi\) \(=\) 192.61
Dual form 192.2.r.a.85.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.736320 - 1.20741i) q^{2} +(-0.195090 + 0.980785i) q^{3} +(-0.915667 + 1.77808i) q^{4} +(0.0837000 + 0.0559265i) q^{5} +(1.32786 - 0.486618i) q^{6} +(-4.46868 + 1.85099i) q^{7} +(2.82109 - 0.203649i) q^{8} +(-0.923880 - 0.382683i) q^{9} +O(q^{10})\) \(q+(-0.736320 - 1.20741i) q^{2} +(-0.195090 + 0.980785i) q^{3} +(-0.915667 + 1.77808i) q^{4} +(0.0837000 + 0.0559265i) q^{5} +(1.32786 - 0.486618i) q^{6} +(-4.46868 + 1.85099i) q^{7} +(2.82109 - 0.203649i) q^{8} +(-0.923880 - 0.382683i) q^{9} +(0.00589620 - 0.142240i) q^{10} +(-3.20307 + 0.637129i) q^{11} +(-1.56527 - 1.24496i) q^{12} +(-2.92887 + 1.95701i) q^{13} +(5.52528 + 4.03260i) q^{14} +(-0.0711810 + 0.0711810i) q^{15} +(-2.32311 - 3.25625i) q^{16} +(4.06185 + 4.06185i) q^{17} +(0.218216 + 1.39728i) q^{18} +(1.61387 + 2.41533i) q^{19} +(-0.176083 + 0.0976148i) q^{20} +(-0.943626 - 4.74393i) q^{21} +(3.12775 + 3.39827i) q^{22} +(1.02250 - 2.46854i) q^{23} +(-0.350631 + 2.80661i) q^{24} +(-1.90954 - 4.61004i) q^{25} +(4.51950 + 2.09536i) q^{26} +(0.555570 - 0.831470i) q^{27} +(0.800625 - 9.64055i) q^{28} +(2.77406 + 0.551794i) q^{29} +(0.138356 + 0.0335325i) q^{30} +6.23524i q^{31} +(-2.22107 + 5.20258i) q^{32} -3.26582i q^{33} +(1.91349 - 7.89514i) q^{34} +(-0.477548 - 0.0949902i) q^{35} +(1.52641 - 1.29232i) q^{36} +(-3.81922 + 5.71586i) q^{37} +(1.72796 - 3.72706i) q^{38} +(-1.34801 - 3.25439i) q^{39} +(0.247514 + 0.140728i) q^{40} +(3.15553 - 7.61812i) q^{41} +(-5.03305 + 4.63239i) q^{42} +(0.370101 + 1.86062i) q^{43} +(1.80008 - 6.27869i) q^{44} +(-0.0559265 - 0.0837000i) q^{45} +(-3.73343 + 0.583058i) q^{46} +(-7.02184 - 7.02184i) q^{47} +(3.64690 - 1.64321i) q^{48} +(11.5932 - 11.5932i) q^{49} +(-4.16016 + 5.70005i) q^{50} +(-4.77623 + 3.19138i) q^{51} +(-0.797842 - 6.99973i) q^{52} +(-4.73439 + 0.941728i) q^{53} +(-1.41300 - 0.0585724i) q^{54} +(-0.303729 - 0.125809i) q^{55} +(-12.2296 + 6.13184i) q^{56} +(-2.68377 + 1.11165i) q^{57} +(-1.37635 - 3.75571i) q^{58} +(1.74396 + 1.16528i) q^{59} +(-0.0613871 - 0.191743i) q^{60} +(-0.391727 + 1.96934i) q^{61} +(7.52848 - 4.59113i) q^{62} +4.83687 q^{63} +(7.91705 - 1.14902i) q^{64} -0.354596 q^{65} +(-3.94317 + 2.40469i) q^{66} +(-2.53869 + 12.7629i) q^{67} +(-10.9416 + 3.50298i) q^{68} +(2.22163 + 1.48445i) q^{69} +(0.236936 + 0.646538i) q^{70} +(0.0798435 - 0.0330723i) q^{71} +(-2.68428 - 0.891436i) q^{72} +(3.83063 + 1.58670i) q^{73} +(9.71354 + 0.402651i) q^{74} +(4.89399 - 0.973475i) q^{75} +(-5.77241 + 0.657949i) q^{76} +(13.1342 - 8.77597i) q^{77} +(-2.93681 + 4.02387i) q^{78} +(9.63328 - 9.63328i) q^{79} +(-0.0123333 - 0.402471i) q^{80} +(0.707107 + 0.707107i) q^{81} +(-11.5217 + 1.79936i) q^{82} +(7.45610 + 11.1588i) q^{83} +(9.29911 + 2.66602i) q^{84} +(0.112812 + 0.567142i) q^{85} +(1.97402 - 1.81687i) q^{86} +(-1.08238 + 2.61310i) q^{87} +(-8.90637 + 2.44970i) q^{88} +(0.680318 + 1.64243i) q^{89} +(-0.0598802 + 0.129156i) q^{90} +(9.46581 - 14.1666i) q^{91} +(3.45299 + 4.07845i) q^{92} +(-6.11543 - 1.21644i) q^{93} +(-3.30790 + 13.6485i) q^{94} +0.292421i q^{95} +(-4.66930 - 3.19337i) q^{96} +17.0406i q^{97} +(-22.5341 - 5.46143i) q^{98} +(3.20307 + 0.637129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.736320 1.20741i −0.520657 0.853766i
\(3\) −0.195090 + 0.980785i −0.112635 + 0.566257i
\(4\) −0.915667 + 1.77808i −0.457833 + 0.889038i
\(5\) 0.0837000 + 0.0559265i 0.0374318 + 0.0250111i 0.574145 0.818753i \(-0.305334\pi\)
−0.536714 + 0.843764i \(0.680334\pi\)
\(6\) 1.32786 0.486618i 0.542095 0.198661i
\(7\) −4.46868 + 1.85099i −1.68900 + 0.699608i −0.999691 0.0248563i \(-0.992087\pi\)
−0.689312 + 0.724464i \(0.742087\pi\)
\(8\) 2.82109 0.203649i 0.997405 0.0720008i
\(9\) −0.923880 0.382683i −0.307960 0.127561i
\(10\) 0.00589620 0.142240i 0.00186454 0.0449802i
\(11\) −3.20307 + 0.637129i −0.965760 + 0.192102i −0.652687 0.757627i \(-0.726358\pi\)
−0.313073 + 0.949729i \(0.601358\pi\)
\(12\) −1.56527 1.24496i −0.451855 0.359388i
\(13\) −2.92887 + 1.95701i −0.812324 + 0.542777i −0.890937 0.454128i \(-0.849951\pi\)
0.0786128 + 0.996905i \(0.474951\pi\)
\(14\) 5.52528 + 4.03260i 1.47669 + 1.07776i
\(15\) −0.0711810 + 0.0711810i −0.0183788 + 0.0183788i
\(16\) −2.32311 3.25625i −0.580777 0.814063i
\(17\) 4.06185 + 4.06185i 0.985144 + 0.985144i 0.999891 0.0147472i \(-0.00469434\pi\)
−0.0147472 + 0.999891i \(0.504694\pi\)
\(18\) 0.218216 + 1.39728i 0.0514339 + 0.329341i
\(19\) 1.61387 + 2.41533i 0.370248 + 0.554115i 0.969076 0.246763i \(-0.0793668\pi\)
−0.598828 + 0.800877i \(0.704367\pi\)
\(20\) −0.176083 + 0.0976148i −0.0393733 + 0.0218273i
\(21\) −0.943626 4.74393i −0.205916 1.03521i
\(22\) 3.12775 + 3.39827i 0.666839 + 0.724515i
\(23\) 1.02250 2.46854i 0.213207 0.514727i −0.780706 0.624899i \(-0.785140\pi\)
0.993913 + 0.110172i \(0.0351402\pi\)
\(24\) −0.350631 + 2.80661i −0.0715722 + 0.572897i
\(25\) −1.90954 4.61004i −0.381908 0.922007i
\(26\) 4.51950 + 2.09536i 0.886347 + 0.410934i
\(27\) 0.555570 0.831470i 0.106920 0.160016i
\(28\) 0.800625 9.64055i 0.151304 1.82189i
\(29\) 2.77406 + 0.551794i 0.515129 + 0.102466i 0.445808 0.895129i \(-0.352917\pi\)
0.0693216 + 0.997594i \(0.477917\pi\)
\(30\) 0.138356 + 0.0335325i 0.0252603 + 0.00612217i
\(31\) 6.23524i 1.11988i 0.828532 + 0.559941i \(0.189176\pi\)
−0.828532 + 0.559941i \(0.810824\pi\)
\(32\) −2.22107 + 5.20258i −0.392634 + 0.919695i
\(33\) 3.26582i 0.568506i
\(34\) 1.91349 7.89514i 0.328161 1.35400i
\(35\) −0.477548 0.0949902i −0.0807203 0.0160563i
\(36\) 1.52641 1.29232i 0.254401 0.215386i
\(37\) −3.81922 + 5.71586i −0.627875 + 0.939682i 0.372059 + 0.928209i \(0.378652\pi\)
−0.999934 + 0.0114728i \(0.996348\pi\)
\(38\) 1.72796 3.72706i 0.280313 0.604608i
\(39\) −1.34801 3.25439i −0.215855 0.521120i
\(40\) 0.247514 + 0.140728i 0.0391354 + 0.0222511i
\(41\) 3.15553 7.61812i 0.492811 1.18975i −0.460472 0.887674i \(-0.652320\pi\)
0.953283 0.302077i \(-0.0976800\pi\)
\(42\) −5.03305 + 4.63239i −0.776616 + 0.714793i
\(43\) 0.370101 + 1.86062i 0.0564398 + 0.283742i 0.998690 0.0511674i \(-0.0162942\pi\)
−0.942250 + 0.334910i \(0.891294\pi\)
\(44\) 1.80008 6.27869i 0.271372 0.946548i
\(45\) −0.0559265 0.0837000i −0.00833703 0.0124773i
\(46\) −3.73343 + 0.583058i −0.550464 + 0.0859672i
\(47\) −7.02184 7.02184i −1.02424 1.02424i −0.999699 0.0245414i \(-0.992187\pi\)
−0.0245414 0.999699i \(-0.507813\pi\)
\(48\) 3.64690 1.64321i 0.526384 0.237177i
\(49\) 11.5932 11.5932i 1.65617 1.65617i
\(50\) −4.16016 + 5.70005i −0.588336 + 0.806109i
\(51\) −4.77623 + 3.19138i −0.668807 + 0.446882i
\(52\) −0.797842 6.99973i −0.110641 0.970688i
\(53\) −4.73439 + 0.941728i −0.650318 + 0.129356i −0.509216 0.860639i \(-0.670065\pi\)
−0.141102 + 0.989995i \(0.545065\pi\)
\(54\) −1.41300 0.0585724i −0.192285 0.00797069i
\(55\) −0.303729 0.125809i −0.0409548 0.0169640i
\(56\) −12.2296 + 6.13184i −1.63425 + 0.819402i
\(57\) −2.68377 + 1.11165i −0.355474 + 0.147242i
\(58\) −1.37635 3.75571i −0.180724 0.493149i
\(59\) 1.74396 + 1.16528i 0.227044 + 0.151706i 0.663890 0.747830i \(-0.268904\pi\)
−0.436846 + 0.899537i \(0.643904\pi\)
\(60\) −0.0613871 0.191743i −0.00792504 0.0247539i
\(61\) −0.391727 + 1.96934i −0.0501554 + 0.252148i −0.997726 0.0673976i \(-0.978530\pi\)
0.947571 + 0.319546i \(0.103530\pi\)
\(62\) 7.52848 4.59113i 0.956118 0.583074i
\(63\) 4.83687 0.609388
\(64\) 7.91705 1.14902i 0.989632 0.143628i
\(65\) −0.354596 −0.0439822
\(66\) −3.94317 + 2.40469i −0.485371 + 0.295996i
\(67\) −2.53869 + 12.7629i −0.310151 + 1.55923i 0.440020 + 0.897988i \(0.354971\pi\)
−0.750170 + 0.661245i \(0.770029\pi\)
\(68\) −10.9416 + 3.50298i −1.32686 + 0.424799i
\(69\) 2.22163 + 1.48445i 0.267453 + 0.178706i
\(70\) 0.236936 + 0.646538i 0.0283193 + 0.0772761i
\(71\) 0.0798435 0.0330723i 0.00947569 0.00392496i −0.377941 0.925830i \(-0.623368\pi\)
0.387416 + 0.921905i \(0.373368\pi\)
\(72\) −2.68428 0.891436i −0.316345 0.105057i
\(73\) 3.83063 + 1.58670i 0.448342 + 0.185709i 0.595418 0.803416i \(-0.296986\pi\)
−0.147077 + 0.989125i \(0.546986\pi\)
\(74\) 9.71354 + 0.402651i 1.12918 + 0.0468072i
\(75\) 4.89399 0.973475i 0.565109 0.112407i
\(76\) −5.77241 + 0.657949i −0.662141 + 0.0754720i
\(77\) 13.1342 8.77597i 1.49678 1.00011i
\(78\) −2.93681 + 4.02387i −0.332528 + 0.455614i
\(79\) 9.63328 9.63328i 1.08383 1.08383i 0.0876800 0.996149i \(-0.472055\pi\)
0.996149 0.0876800i \(-0.0279453\pi\)
\(80\) −0.0123333 0.402471i −0.00137891 0.0449977i
\(81\) 0.707107 + 0.707107i 0.0785674 + 0.0785674i
\(82\) −11.5217 + 1.79936i −1.27235 + 0.198706i
\(83\) 7.45610 + 11.1588i 0.818413 + 1.22484i 0.971596 + 0.236644i \(0.0760476\pi\)
−0.153183 + 0.988198i \(0.548952\pi\)
\(84\) 9.29911 + 2.66602i 1.01462 + 0.290887i
\(85\) 0.112812 + 0.567142i 0.0122361 + 0.0615152i
\(86\) 1.97402 1.81687i 0.212864 0.195919i
\(87\) −1.08238 + 2.61310i −0.116044 + 0.280154i
\(88\) −8.90637 + 2.44970i −0.949422 + 0.261139i
\(89\) 0.680318 + 1.64243i 0.0721135 + 0.174097i 0.955826 0.293932i \(-0.0949640\pi\)
−0.883713 + 0.468030i \(0.844964\pi\)
\(90\) −0.0598802 + 0.129156i −0.00631193 + 0.0136142i
\(91\) 9.46581 14.1666i 0.992286 1.48506i
\(92\) 3.45299 + 4.07845i 0.359999 + 0.425208i
\(93\) −6.11543 1.21644i −0.634141 0.126138i
\(94\) −3.30790 + 13.6485i −0.341184 + 1.40774i
\(95\) 0.292421i 0.0300018i
\(96\) −4.66930 3.19337i −0.476559 0.325922i
\(97\) 17.0406i 1.73021i 0.501594 + 0.865103i \(0.332747\pi\)
−0.501594 + 0.865103i \(0.667253\pi\)
\(98\) −22.5341 5.46143i −2.27628 0.551687i
\(99\) 3.20307 + 0.637129i 0.321920 + 0.0640339i
\(100\) 9.94550 + 0.825951i 0.994550 + 0.0825951i
\(101\) −9.76909 + 14.6205i −0.972061 + 1.45479i −0.0832446 + 0.996529i \(0.526528\pi\)
−0.888817 + 0.458263i \(0.848472\pi\)
\(102\) 7.37013 + 3.41699i 0.729751 + 0.338332i
\(103\) 4.34245 + 10.4836i 0.427875 + 1.03298i 0.979960 + 0.199193i \(0.0638322\pi\)
−0.552085 + 0.833788i \(0.686168\pi\)
\(104\) −7.86406 + 6.11736i −0.771135 + 0.599857i
\(105\) 0.186330 0.449840i 0.0181839 0.0438999i
\(106\) 4.62307 + 5.02292i 0.449032 + 0.487869i
\(107\) −0.612789 3.08070i −0.0592405 0.297822i 0.939795 0.341740i \(-0.111016\pi\)
−0.999035 + 0.0439176i \(0.986016\pi\)
\(108\) 0.969699 + 1.74920i 0.0933093 + 0.168316i
\(109\) −2.09115 3.12962i −0.200295 0.299763i 0.717701 0.696351i \(-0.245194\pi\)
−0.917997 + 0.396588i \(0.870194\pi\)
\(110\) 0.0717392 + 0.459360i 0.00684007 + 0.0437982i
\(111\) −4.86094 4.86094i −0.461380 0.461380i
\(112\) 16.4085 + 10.2511i 1.55046 + 0.968638i
\(113\) −2.16896 + 2.16896i −0.204038 + 0.204038i −0.801728 0.597689i \(-0.796086\pi\)
0.597689 + 0.801728i \(0.296086\pi\)
\(114\) 3.31833 + 2.42187i 0.310790 + 0.226829i
\(115\) 0.223641 0.149432i 0.0208546 0.0139346i
\(116\) −3.52124 + 4.42722i −0.326939 + 0.411057i
\(117\) 3.45484 0.687211i 0.319400 0.0635327i
\(118\) 0.122852 2.96369i 0.0113095 0.272830i
\(119\) −25.6696 10.6327i −2.35313 0.974697i
\(120\) −0.186312 + 0.215304i −0.0170079 + 0.0196544i
\(121\) −0.308982 + 0.127985i −0.0280893 + 0.0116350i
\(122\) 2.66624 0.977092i 0.241390 0.0884617i
\(123\) 6.85613 + 4.58112i 0.618197 + 0.413066i
\(124\) −11.0867 5.70940i −0.995618 0.512720i
\(125\) 0.196189 0.986308i 0.0175477 0.0882181i
\(126\) −3.56148 5.84007i −0.317282 0.520275i
\(127\) −7.09675 −0.629735 −0.314867 0.949136i \(-0.601960\pi\)
−0.314867 + 0.949136i \(0.601960\pi\)
\(128\) −7.21682 8.71306i −0.637883 0.770133i
\(129\) −1.89707 −0.167028
\(130\) 0.261096 + 0.428141i 0.0228996 + 0.0375505i
\(131\) 3.91387 19.6764i 0.341957 1.71913i −0.301340 0.953517i \(-0.597434\pi\)
0.643297 0.765616i \(-0.277566\pi\)
\(132\) 5.80687 + 2.99040i 0.505423 + 0.260281i
\(133\) −11.6826 7.80609i −1.01301 0.676873i
\(134\) 17.2793 6.33231i 1.49270 0.547029i
\(135\) 0.0930024 0.0385229i 0.00800437 0.00331552i
\(136\) 12.2860 + 10.6316i 1.05352 + 0.911656i
\(137\) −0.753073 0.311933i −0.0643394 0.0266503i 0.350282 0.936644i \(-0.386086\pi\)
−0.414621 + 0.909994i \(0.636086\pi\)
\(138\) 0.156501 3.77544i 0.0133223 0.321387i
\(139\) 1.96932 0.391722i 0.167035 0.0332254i −0.110864 0.993836i \(-0.535362\pi\)
0.277899 + 0.960610i \(0.410362\pi\)
\(140\) 0.606175 0.762137i 0.0512311 0.0644123i
\(141\) 8.25681 5.51702i 0.695349 0.464617i
\(142\) −0.0987221 0.0720519i −0.00828457 0.00604646i
\(143\) 8.13451 8.13451i 0.680242 0.680242i
\(144\) 0.900159 + 3.89740i 0.0750133 + 0.324783i
\(145\) 0.201328 + 0.201328i 0.0167194 + 0.0167194i
\(146\) −0.904776 5.79345i −0.0748798 0.479470i
\(147\) 9.10873 + 13.6322i 0.751276 + 1.12436i
\(148\) −6.66611 12.0247i −0.547951 0.988423i
\(149\) 1.95753 + 9.84118i 0.160367 + 0.806221i 0.974299 + 0.225260i \(0.0723231\pi\)
−0.813931 + 0.580961i \(0.802677\pi\)
\(150\) −4.77892 5.19225i −0.390197 0.423945i
\(151\) −0.922736 + 2.22768i −0.0750912 + 0.181286i −0.956968 0.290194i \(-0.906280\pi\)
0.881877 + 0.471480i \(0.156280\pi\)
\(152\) 5.04475 + 6.48519i 0.409183 + 0.526018i
\(153\) −2.19826 5.30707i −0.177719 0.429051i
\(154\) −20.2671 9.39637i −1.63317 0.757181i
\(155\) −0.348715 + 0.521889i −0.0280095 + 0.0419192i
\(156\) 7.02089 + 0.583069i 0.562121 + 0.0466828i
\(157\) −5.90340 1.17426i −0.471143 0.0937161i −0.0461920 0.998933i \(-0.514709\pi\)
−0.424951 + 0.905216i \(0.639709\pi\)
\(158\) −18.7245 4.53812i −1.48964 0.361034i
\(159\) 4.82714i 0.382817i
\(160\) −0.476866 + 0.311239i −0.0376996 + 0.0246056i
\(161\) 12.9238i 1.01854i
\(162\) 0.333110 1.37442i 0.0261716 0.107985i
\(163\) −11.6929 2.32587i −0.915861 0.182176i −0.285410 0.958405i \(-0.592130\pi\)
−0.630451 + 0.776229i \(0.717130\pi\)
\(164\) 10.6562 + 12.5864i 0.832109 + 0.982836i
\(165\) 0.182646 0.273349i 0.0142190 0.0212802i
\(166\) 7.98320 17.2190i 0.619617 1.33646i
\(167\) −7.40739 17.8830i −0.573201 1.38383i −0.898816 0.438327i \(-0.855571\pi\)
0.325614 0.945503i \(-0.394429\pi\)
\(168\) −3.62815 13.1909i −0.279918 1.01770i
\(169\) −0.226471 + 0.546749i −0.0174208 + 0.0420576i
\(170\) 0.601707 0.553808i 0.0461488 0.0424751i
\(171\) −0.566717 2.84908i −0.0433379 0.217874i
\(172\) −3.64722 1.04564i −0.278098 0.0797295i
\(173\) 2.73438 + 4.09228i 0.207891 + 0.311131i 0.920732 0.390194i \(-0.127592\pi\)
−0.712842 + 0.701325i \(0.752592\pi\)
\(174\) 3.95206 0.617202i 0.299605 0.0467899i
\(175\) 17.0662 + 17.0662i 1.29009 + 1.29009i
\(176\) 9.51572 + 8.94986i 0.717274 + 0.674621i
\(177\) −1.48312 + 1.48312i −0.111478 + 0.111478i
\(178\) 1.48215 2.03078i 0.111092 0.152213i
\(179\) −6.34387 + 4.23884i −0.474163 + 0.316825i −0.769588 0.638540i \(-0.779539\pi\)
0.295426 + 0.955366i \(0.404539\pi\)
\(180\) 0.200035 0.0228003i 0.0149097 0.00169944i
\(181\) −11.1178 + 2.21146i −0.826376 + 0.164376i −0.590121 0.807315i \(-0.700920\pi\)
−0.236255 + 0.971691i \(0.575920\pi\)
\(182\) −24.0747 0.997957i −1.78454 0.0739735i
\(183\) −1.85508 0.768399i −0.137131 0.0568017i
\(184\) 2.38186 7.17221i 0.175593 0.528742i
\(185\) −0.639337 + 0.264822i −0.0470050 + 0.0194701i
\(186\) 3.03418 + 8.27951i 0.222477 + 0.607083i
\(187\) −15.5983 10.4225i −1.14066 0.762165i
\(188\) 18.9150 6.05570i 1.37952 0.441657i
\(189\) −0.943626 + 4.74393i −0.0686387 + 0.345070i
\(190\) 0.353072 0.215316i 0.0256145 0.0156206i
\(191\) 15.8787 1.14894 0.574472 0.818524i \(-0.305207\pi\)
0.574472 + 0.818524i \(0.305207\pi\)
\(192\) −0.417596 + 7.98909i −0.0301374 + 0.576563i
\(193\) 6.99891 0.503793 0.251896 0.967754i \(-0.418946\pi\)
0.251896 + 0.967754i \(0.418946\pi\)
\(194\) 20.5749 12.5473i 1.47719 0.900843i
\(195\) 0.0691782 0.347782i 0.00495395 0.0249052i
\(196\) 9.99810 + 31.2291i 0.714150 + 2.23065i
\(197\) 14.9236 + 9.97165i 1.06326 + 0.710451i 0.958801 0.284078i \(-0.0916874\pi\)
0.104464 + 0.994529i \(0.466687\pi\)
\(198\) −1.58920 4.33654i −0.112940 0.308184i
\(199\) 14.2586 5.90612i 1.01077 0.418674i 0.185033 0.982732i \(-0.440761\pi\)
0.825735 + 0.564059i \(0.190761\pi\)
\(200\) −6.32580 12.6164i −0.447302 0.892116i
\(201\) −12.0224 4.97982i −0.847992 0.351250i
\(202\) 24.8461 + 1.02993i 1.74816 + 0.0724657i
\(203\) −13.4177 + 2.66895i −0.941741 + 0.187324i
\(204\) −1.30107 11.4147i −0.0910933 0.799192i
\(205\) 0.690173 0.461159i 0.0482038 0.0322087i
\(206\) 9.46056 12.9624i 0.659148 0.903133i
\(207\) −1.88934 + 1.88934i −0.131318 + 0.131318i
\(208\) 13.1766 + 4.99080i 0.913634 + 0.346050i
\(209\) −6.70822 6.70822i −0.464017 0.464017i
\(210\) −0.680339 + 0.106250i −0.0469479 + 0.00733195i
\(211\) −2.17121 3.24945i −0.149473 0.223702i 0.749176 0.662371i \(-0.230450\pi\)
−0.898648 + 0.438670i \(0.855450\pi\)
\(212\) 2.66066 9.28041i 0.182735 0.637381i
\(213\) 0.0168601 + 0.0847615i 0.00115524 + 0.00580776i
\(214\) −3.26845 + 3.00826i −0.223426 + 0.205641i
\(215\) −0.0730807 + 0.176432i −0.00498406 + 0.0120326i
\(216\) 1.39798 2.45879i 0.0951207 0.167299i
\(217\) −11.5414 27.8633i −0.783479 1.89148i
\(218\) −2.23898 + 4.82927i −0.151643 + 0.327079i
\(219\) −2.30353 + 3.44748i −0.155658 + 0.232959i
\(220\) 0.501812 0.424854i 0.0338321 0.0286437i
\(221\) −19.8458 3.94757i −1.33497 0.265542i
\(222\) −2.28993 + 9.44834i −0.153690 + 0.634131i
\(223\) 4.67434i 0.313017i 0.987677 + 0.156508i \(0.0500238\pi\)
−0.987677 + 0.156508i \(0.949976\pi\)
\(224\) 0.295345 27.3599i 0.0197336 1.82806i
\(225\) 4.98987i 0.332658i
\(226\) 4.21586 + 1.02177i 0.280435 + 0.0679672i
\(227\) 10.5980 + 2.10808i 0.703415 + 0.139918i 0.533823 0.845596i \(-0.320755\pi\)
0.169592 + 0.985514i \(0.445755\pi\)
\(228\) 0.480834 5.78985i 0.0318440 0.383442i
\(229\) −5.25091 + 7.85854i −0.346990 + 0.519307i −0.963382 0.268132i \(-0.913594\pi\)
0.616392 + 0.787439i \(0.288594\pi\)
\(230\) −0.345096 0.159996i −0.0227550 0.0105498i
\(231\) 6.04499 + 14.5939i 0.397731 + 0.960208i
\(232\) 7.93822 + 0.991724i 0.521170 + 0.0651099i
\(233\) −11.3792 + 27.4717i −0.745474 + 1.79973i −0.163467 + 0.986549i \(0.552268\pi\)
−0.582006 + 0.813184i \(0.697732\pi\)
\(234\) −3.37361 3.66540i −0.220540 0.239615i
\(235\) −0.195021 0.980434i −0.0127217 0.0639565i
\(236\) −3.66884 + 2.03389i −0.238821 + 0.132395i
\(237\) 7.56882 + 11.3275i 0.491648 + 0.735803i
\(238\) 6.06303 + 38.8227i 0.393008 + 2.51650i
\(239\) 14.5864 + 14.5864i 0.943516 + 0.943516i 0.998488 0.0549722i \(-0.0175070\pi\)
−0.0549722 + 0.998488i \(0.517507\pi\)
\(240\) 0.397144 + 0.0664219i 0.0256355 + 0.00428752i
\(241\) 8.93724 8.93724i 0.575698 0.575698i −0.358017 0.933715i \(-0.616547\pi\)
0.933715 + 0.358017i \(0.116547\pi\)
\(242\) 0.382040 + 0.278830i 0.0245584 + 0.0179239i
\(243\) −0.831470 + 0.555570i −0.0533388 + 0.0356398i
\(244\) −3.14295 2.49978i −0.201207 0.160032i
\(245\) 1.61872 0.321983i 0.103416 0.0205708i
\(246\) 0.482976 11.6513i 0.0307934 0.742861i
\(247\) −9.45366 3.91583i −0.601522 0.249159i
\(248\) 1.26980 + 17.5902i 0.0806324 + 1.11698i
\(249\) −12.3990 + 5.13585i −0.785757 + 0.325471i
\(250\) −1.33533 + 0.489358i −0.0844539 + 0.0309497i
\(251\) −10.0606 6.72225i −0.635017 0.424304i 0.195960 0.980612i \(-0.437218\pi\)
−0.830977 + 0.556307i \(0.812218\pi\)
\(252\) −4.42896 + 8.60032i −0.278998 + 0.541769i
\(253\) −1.70237 + 8.55837i −0.107027 + 0.538060i
\(254\) 5.22548 + 8.56867i 0.327876 + 0.537646i
\(255\) −0.578253 −0.0362116
\(256\) −5.20633 + 15.1292i −0.325396 + 0.945578i
\(257\) −18.3135 −1.14236 −0.571182 0.820823i \(-0.693515\pi\)
−0.571182 + 0.820823i \(0.693515\pi\)
\(258\) 1.39685 + 2.29054i 0.0869642 + 0.142603i
\(259\) 6.48687 32.6117i 0.403075 2.02639i
\(260\) 0.324691 0.630498i 0.0201365 0.0391018i
\(261\) −2.35173 1.57138i −0.145568 0.0972657i
\(262\) −26.6393 + 9.76246i −1.64578 + 0.603127i
\(263\) −2.21860 + 0.918973i −0.136805 + 0.0566663i −0.450035 0.893011i \(-0.648589\pi\)
0.313231 + 0.949677i \(0.398589\pi\)
\(264\) −0.665081 9.21315i −0.0409329 0.567030i
\(265\) −0.448936 0.185955i −0.0275779 0.0114231i
\(266\) −0.822976 + 19.8535i −0.0504599 + 1.21729i
\(267\) −1.74360 + 0.346823i −0.106706 + 0.0212252i
\(268\) −20.3688 16.2005i −1.24422 0.989605i
\(269\) 20.5565 13.7354i 1.25335 0.837462i 0.261542 0.965192i \(-0.415769\pi\)
0.991809 + 0.127730i \(0.0407691\pi\)
\(270\) −0.114992 0.0839267i −0.00699821 0.00510762i
\(271\) 5.79244 5.79244i 0.351866 0.351866i −0.508938 0.860803i \(-0.669962\pi\)
0.860803 + 0.508938i \(0.169962\pi\)
\(272\) 3.79029 22.6625i 0.229820 1.37412i
\(273\) 12.0477 + 12.0477i 0.729159 + 0.729159i
\(274\) 0.177872 + 1.13895i 0.0107456 + 0.0688064i
\(275\) 9.05357 + 13.5496i 0.545951 + 0.817073i
\(276\) −4.67373 + 2.59097i −0.281326 + 0.155958i
\(277\) −3.26963 16.4375i −0.196453 0.987635i −0.945625 0.325260i \(-0.894548\pi\)
0.749172 0.662376i \(-0.230452\pi\)
\(278\) −1.92302 2.08934i −0.115335 0.125310i
\(279\) 2.38612 5.76061i 0.142853 0.344879i
\(280\) −1.36655 0.170723i −0.0816669 0.0102027i
\(281\) −3.51033 8.47468i −0.209408 0.505557i 0.783922 0.620859i \(-0.213216\pi\)
−0.993330 + 0.115303i \(0.963216\pi\)
\(282\) −12.7409 5.90704i −0.758712 0.351759i
\(283\) 14.0558 21.0360i 0.835532 1.25046i −0.130346 0.991469i \(-0.541609\pi\)
0.965879 0.258994i \(-0.0833910\pi\)
\(284\) −0.0143051 + 0.172251i −0.000848849 + 0.0102212i
\(285\) −0.286803 0.0570486i −0.0169887 0.00337927i
\(286\) −15.8113 3.83207i −0.934940 0.226595i
\(287\) 39.8838i 2.35427i
\(288\) 4.04294 3.95659i 0.238233 0.233144i
\(289\) 15.9973i 0.941018i
\(290\) 0.0948434 0.391328i 0.00556940 0.0229795i
\(291\) −16.7131 3.32445i −0.979741 0.194883i
\(292\) −6.32886 + 5.35827i −0.370368 + 0.313569i
\(293\) 3.95053 5.91239i 0.230793 0.345405i −0.697940 0.716156i \(-0.745900\pi\)
0.928732 + 0.370751i \(0.120900\pi\)
\(294\) 9.75266 21.0356i 0.568787 1.22682i
\(295\) 0.0807995 + 0.195067i 0.00470433 + 0.0113573i
\(296\) −9.61031 + 16.9027i −0.558588 + 0.982451i
\(297\) −1.24977 + 3.01722i −0.0725192 + 0.175077i
\(298\) 10.4409 9.60979i 0.604828 0.556680i
\(299\) 1.83618 + 9.23111i 0.106189 + 0.533849i
\(300\) −2.75035 + 9.59326i −0.158792 + 0.553867i
\(301\) −5.09785 7.62948i −0.293835 0.439756i
\(302\) 3.36915 0.526167i 0.193873 0.0302775i
\(303\) −12.4337 12.4337i −0.714297 0.714297i
\(304\) 4.11572 10.8662i 0.236053 0.623222i
\(305\) −0.142926 + 0.142926i −0.00818392 + 0.00818392i
\(306\) −4.78917 + 6.56189i −0.273779 + 0.375118i
\(307\) −1.81435 + 1.21231i −0.103550 + 0.0691902i −0.606267 0.795261i \(-0.707334\pi\)
0.502717 + 0.864451i \(0.332334\pi\)
\(308\) 3.57782 + 31.3894i 0.203865 + 1.78858i
\(309\) −11.1293 + 2.21376i −0.633126 + 0.125937i
\(310\) 0.886899 + 0.0367642i 0.0503725 + 0.00208807i
\(311\) 2.19072 + 0.907427i 0.124224 + 0.0514555i 0.443930 0.896062i \(-0.353584\pi\)
−0.319705 + 0.947517i \(0.603584\pi\)
\(312\) −4.46561 8.90640i −0.252816 0.504225i
\(313\) 6.02146 2.49417i 0.340353 0.140979i −0.205959 0.978561i \(-0.566031\pi\)
0.546312 + 0.837582i \(0.316031\pi\)
\(314\) 2.92898 + 7.99244i 0.165292 + 0.451040i
\(315\) 0.404846 + 0.270509i 0.0228105 + 0.0152415i
\(316\) 8.30783 + 25.9496i 0.467352 + 1.45978i
\(317\) 4.84374 24.3511i 0.272051 1.36769i −0.567034 0.823694i \(-0.691909\pi\)
0.839085 0.544000i \(-0.183091\pi\)
\(318\) −5.82832 + 3.55432i −0.326836 + 0.199316i
\(319\) −9.23704 −0.517175
\(320\) 0.726918 + 0.346600i 0.0406360 + 0.0193755i
\(321\) 3.14105 0.175316
\(322\) 15.6043 9.51604i 0.869592 0.530308i
\(323\) −3.25541 + 16.3660i −0.181136 + 0.910630i
\(324\) −1.90476 + 0.609815i −0.105820 + 0.0338786i
\(325\) 14.6147 + 9.76523i 0.810677 + 0.541677i
\(326\) 5.80146 + 15.8307i 0.321313 + 0.876782i
\(327\) 3.47745 1.44041i 0.192303 0.0796547i
\(328\) 7.35060 22.1340i 0.405869 1.22215i
\(329\) 44.3757 + 18.3810i 2.44651 + 1.01338i
\(330\) −0.464529 0.0192559i −0.0255715 0.00106000i
\(331\) −30.0815 + 5.98358i −1.65343 + 0.328887i −0.931683 0.363273i \(-0.881659\pi\)
−0.721744 + 0.692160i \(0.756659\pi\)
\(332\) −26.6686 + 3.03973i −1.46363 + 0.166827i
\(333\) 5.71586 3.81922i 0.313227 0.209292i
\(334\) −16.1379 + 22.1114i −0.883026 + 1.20988i
\(335\) −0.926272 + 0.926272i −0.0506076 + 0.0506076i
\(336\) −13.2553 + 14.0933i −0.723134 + 0.768855i
\(337\) −5.03180 5.03180i −0.274100 0.274100i 0.556648 0.830748i \(-0.312087\pi\)
−0.830748 + 0.556648i \(0.812087\pi\)
\(338\) 0.826904 0.129139i 0.0449776 0.00702425i
\(339\) −1.70414 2.55043i −0.0925562 0.138520i
\(340\) −1.11172 0.318726i −0.0602915 0.0172853i
\(341\) −3.97265 19.9719i −0.215131 1.08154i
\(342\) −3.02271 + 2.78209i −0.163450 + 0.150438i
\(343\) −17.3906 + 41.9845i −0.939002 + 2.26695i
\(344\) 1.42300 + 5.17360i 0.0767230 + 0.278942i
\(345\) 0.102930 + 0.248496i 0.00554159 + 0.0133786i
\(346\) 2.92768 6.31474i 0.157393 0.339482i
\(347\) 3.94444 5.90327i 0.211749 0.316904i −0.710358 0.703841i \(-0.751467\pi\)
0.922106 + 0.386937i \(0.126467\pi\)
\(348\) −3.65519 4.31729i −0.195939 0.231431i
\(349\) 24.2180 + 4.81726i 1.29636 + 0.257862i 0.794594 0.607141i \(-0.207684\pi\)
0.501767 + 0.865003i \(0.332684\pi\)
\(350\) 8.03971 33.1721i 0.429740 1.77313i
\(351\) 3.52253i 0.188019i
\(352\) 3.79952 18.0793i 0.202515 0.963631i
\(353\) 14.8423i 0.789978i −0.918686 0.394989i \(-0.870748\pi\)
0.918686 0.394989i \(-0.129252\pi\)
\(354\) 2.88277 + 0.698679i 0.153218 + 0.0371343i
\(355\) 0.00853252 + 0.00169722i 0.000452859 + 9.00793e-5i
\(356\) −3.54331 0.294264i −0.187795 0.0155960i
\(357\) 15.4363 23.1020i 0.816974 1.22269i
\(358\) 9.78912 + 4.53850i 0.517371 + 0.239867i
\(359\) 7.73959 + 18.6850i 0.408480 + 0.986158i 0.985538 + 0.169455i \(0.0542006\pi\)
−0.577058 + 0.816703i \(0.695799\pi\)
\(360\) −0.174819 0.224735i −0.00921377 0.0118446i
\(361\) 4.04175 9.75764i 0.212724 0.513560i
\(362\) 10.8564 + 11.7953i 0.570597 + 0.619949i
\(363\) −0.0652460 0.328014i −0.00342453 0.0172163i
\(364\) 16.5217 + 29.8028i 0.865974 + 1.56209i
\(365\) 0.231885 + 0.347041i 0.0121374 + 0.0181649i
\(366\) 0.438161 + 2.80563i 0.0229030 + 0.146652i
\(367\) −18.9516 18.9516i −0.989263 0.989263i 0.0106799 0.999943i \(-0.496600\pi\)
−0.999943 + 0.0106799i \(0.996600\pi\)
\(368\) −10.4136 + 2.40517i −0.542846 + 0.125378i
\(369\) −5.83066 + 5.83066i −0.303532 + 0.303532i
\(370\) 0.790504 + 0.576946i 0.0410964 + 0.0299940i
\(371\) 19.4133 12.9716i 1.00789 0.673451i
\(372\) 7.76261 9.75985i 0.402473 0.506025i
\(373\) 27.2886 5.42804i 1.41295 0.281053i 0.571152 0.820845i \(-0.306497\pi\)
0.841799 + 0.539791i \(0.181497\pi\)
\(374\) −1.09881 + 26.5078i −0.0568183 + 1.37068i
\(375\) 0.929082 + 0.384838i 0.0479776 + 0.0198730i
\(376\) −21.2392 18.3792i −1.09533 0.947836i
\(377\) −9.20473 + 3.81272i −0.474068 + 0.196365i
\(378\) 6.42267 2.35371i 0.330346 0.121062i
\(379\) 23.6314 + 15.7900i 1.21387 + 0.811079i 0.986664 0.162769i \(-0.0520425\pi\)
0.227201 + 0.973848i \(0.427043\pi\)
\(380\) −0.519947 0.267760i −0.0266727 0.0137358i
\(381\) 1.38451 6.96039i 0.0709305 0.356592i
\(382\) −11.6918 19.1721i −0.598205 0.980930i
\(383\) 11.1803 0.571288 0.285644 0.958336i \(-0.407793\pi\)
0.285644 + 0.958336i \(0.407793\pi\)
\(384\) 9.95358 5.37832i 0.507941 0.274461i
\(385\) 1.59014 0.0810409
\(386\) −5.15344 8.45054i −0.262303 0.430121i
\(387\) 0.370101 1.86062i 0.0188133 0.0945807i
\(388\) −30.2994 15.6035i −1.53822 0.792146i
\(389\) 20.1939 + 13.4932i 1.02387 + 0.684130i 0.949715 0.313116i \(-0.101373\pi\)
0.0741586 + 0.997246i \(0.476373\pi\)
\(390\) −0.470852 + 0.172553i −0.0238425 + 0.00873754i
\(391\) 14.1801 5.87360i 0.717120 0.297041i
\(392\) 30.3445 35.0664i 1.53263 1.77112i
\(393\) 18.5347 + 7.67734i 0.934954 + 0.387271i
\(394\) 1.05129 25.3612i 0.0529631 1.27768i
\(395\) 1.34506 0.267549i 0.0676774 0.0134619i
\(396\) −4.06580 + 5.11190i −0.204314 + 0.256882i
\(397\) −1.27776 + 0.853769i −0.0641287 + 0.0428495i −0.587221 0.809426i \(-0.699778\pi\)
0.523093 + 0.852276i \(0.324778\pi\)
\(398\) −17.6300 12.8672i −0.883712 0.644974i
\(399\) 9.93526 9.93526i 0.497385 0.497385i
\(400\) −10.5754 + 16.9276i −0.528768 + 0.846378i
\(401\) −12.9131 12.9131i −0.644851 0.644851i 0.306893 0.951744i \(-0.400711\pi\)
−0.951744 + 0.306893i \(0.900711\pi\)
\(402\) 2.83962 + 18.1826i 0.141627 + 0.906867i
\(403\) −12.2024 18.2622i −0.607847 0.909707i
\(404\) −17.0511 30.7577i −0.848324 1.53025i
\(405\) 0.0196388 + 0.0987308i 0.000975859 + 0.00490597i
\(406\) 13.1023 + 14.2355i 0.650254 + 0.706495i
\(407\) 8.59146 20.7416i 0.425863 1.02812i
\(408\) −12.8242 + 9.97583i −0.634895 + 0.493877i
\(409\) 9.18237 + 22.1682i 0.454039 + 1.09615i 0.970773 + 0.240001i \(0.0771478\pi\)
−0.516734 + 0.856146i \(0.672852\pi\)
\(410\) −1.06499 0.493760i −0.0525963 0.0243851i
\(411\) 0.452857 0.677748i 0.0223378 0.0334309i
\(412\) −22.6169 1.87828i −1.11425 0.0925363i
\(413\) −9.95012 1.97920i −0.489613 0.0973902i
\(414\) 3.67236 + 0.890046i 0.180487 + 0.0437434i
\(415\) 1.35099i 0.0663174i
\(416\) −3.67627 19.5844i −0.180244 0.960203i
\(417\) 2.00790i 0.0983272i
\(418\) −3.16016 + 13.0389i −0.154568 + 0.637755i
\(419\) −37.2153 7.40258i −1.81809 0.361640i −0.835801 0.549032i \(-0.814996\pi\)
−0.982285 + 0.187393i \(0.939996\pi\)
\(420\) 0.629234 + 0.743213i 0.0307035 + 0.0362651i
\(421\) −20.1410 + 30.1432i −0.981614 + 1.46909i −0.101211 + 0.994865i \(0.532272\pi\)
−0.880404 + 0.474225i \(0.842728\pi\)
\(422\) −2.32471 + 5.01418i −0.113165 + 0.244086i
\(423\) 3.80019 + 9.17447i 0.184772 + 0.446078i
\(424\) −13.1643 + 3.62085i −0.639316 + 0.175844i
\(425\) 10.9690 26.4816i 0.532076 1.28454i
\(426\) 0.0899272 0.0827685i 0.00435699 0.00401015i
\(427\) −1.89473 9.52545i −0.0916924 0.460969i
\(428\) 6.03882 + 1.73131i 0.291897 + 0.0836859i
\(429\) 6.39124 + 9.56517i 0.308572 + 0.461811i
\(430\) 0.266837 0.0416724i 0.0128680 0.00200962i
\(431\) −0.0249615 0.0249615i −0.00120235 0.00120235i 0.706505 0.707708i \(-0.250271\pi\)
−0.707708 + 0.706505i \(0.750271\pi\)
\(432\) −3.99812 + 0.122518i −0.192360 + 0.00589467i
\(433\) 6.32792 6.32792i 0.304100 0.304100i −0.538515 0.842616i \(-0.681015\pi\)
0.842616 + 0.538515i \(0.181015\pi\)
\(434\) −25.1442 + 34.4514i −1.20696 + 1.65372i
\(435\) −0.236737 + 0.158183i −0.0113507 + 0.00758428i
\(436\) 7.47950 0.852526i 0.358203 0.0408286i
\(437\) 7.61254 1.51423i 0.364157 0.0724354i
\(438\) 5.85865 + 0.242856i 0.279937 + 0.0116041i
\(439\) 17.2933 + 7.16314i 0.825366 + 0.341878i 0.755067 0.655648i \(-0.227604\pi\)
0.0702997 + 0.997526i \(0.477604\pi\)
\(440\) −0.882466 0.293063i −0.0420699 0.0139712i
\(441\) −15.1473 + 6.27420i −0.721298 + 0.298772i
\(442\) 9.84650 + 26.8686i 0.468350 + 1.27801i
\(443\) 16.8215 + 11.2398i 0.799216 + 0.534019i 0.886808 0.462137i \(-0.152917\pi\)
−0.0875925 + 0.996156i \(0.527917\pi\)
\(444\) 13.0941 4.19212i 0.621420 0.198949i
\(445\) −0.0349130 + 0.175519i −0.00165503 + 0.00832041i
\(446\) 5.64383 3.44180i 0.267243 0.162974i
\(447\) −10.0340 −0.474591
\(448\) −33.2520 + 19.7890i −1.57101 + 0.934942i
\(449\) −40.4267 −1.90785 −0.953927 0.300039i \(-0.903000\pi\)
−0.953927 + 0.300039i \(0.903000\pi\)
\(450\) 6.02480 3.67414i 0.284012 0.173200i
\(451\) −5.25364 + 26.4118i −0.247384 + 1.24368i
\(452\) −1.87053 5.84262i −0.0879823 0.274814i
\(453\) −2.00486 1.33960i −0.0941966 0.0629401i
\(454\) −5.25822 14.3483i −0.246780 0.673401i
\(455\) 1.58458 0.656353i 0.0742860 0.0307703i
\(456\) −7.34476 + 3.68262i −0.343950 + 0.172455i
\(457\) −18.3515 7.60145i −0.858448 0.355581i −0.0903477 0.995910i \(-0.528798\pi\)
−0.768100 + 0.640329i \(0.778798\pi\)
\(458\) 13.3548 + 0.553590i 0.624029 + 0.0258676i
\(459\) 5.63395 1.12066i 0.262970 0.0523081i
\(460\) 0.0609210 + 0.534480i 0.00284045 + 0.0249203i
\(461\) 0.815951 0.545201i 0.0380026 0.0253925i −0.536424 0.843949i \(-0.680225\pi\)
0.574426 + 0.818556i \(0.305225\pi\)
\(462\) 13.1697 18.0445i 0.612712 0.839508i
\(463\) 3.20796 3.20796i 0.149087 0.149087i −0.628623 0.777710i \(-0.716381\pi\)
0.777710 + 0.628623i \(0.216381\pi\)
\(464\) −4.64765 10.3149i −0.215762 0.478857i
\(465\) −0.443830 0.443830i −0.0205821 0.0205821i
\(466\) 41.5483 6.48868i 1.92469 0.300583i
\(467\) −5.91148 8.84716i −0.273551 0.409398i 0.669103 0.743170i \(-0.266678\pi\)
−0.942654 + 0.333772i \(0.891678\pi\)
\(468\) −1.94157 + 6.77223i −0.0897492 + 0.313046i
\(469\) −12.2793 61.7323i −0.567006 2.85053i
\(470\) −1.04019 + 0.957382i −0.0479802 + 0.0441608i
\(471\) 2.30339 5.56088i 0.106135 0.256232i
\(472\) 5.15717 + 2.93219i 0.237378 + 0.134965i
\(473\) −2.37091 5.72389i −0.109015 0.263185i
\(474\) 8.10389 17.4793i 0.372224 0.802853i
\(475\) 8.05301 12.0522i 0.369497 0.552992i
\(476\) 42.4105 35.9065i 1.94388 1.64577i
\(477\) 4.73439 + 0.941728i 0.216773 + 0.0431188i
\(478\) 6.87148 28.3520i 0.314294 1.29679i
\(479\) 10.3863i 0.474560i −0.971441 0.237280i \(-0.923744\pi\)
0.971441 0.237280i \(-0.0762559\pi\)
\(480\) −0.212227 0.528423i −0.00968678 0.0241191i
\(481\) 24.2153i 1.10412i
\(482\) −17.3716 4.21023i −0.791253 0.191771i
\(483\) −12.6755 2.52131i −0.576753 0.114723i
\(484\) 0.0553584 0.666586i 0.00251629 0.0302993i
\(485\) −0.953019 + 1.42629i −0.0432744 + 0.0647647i
\(486\) 1.28303 + 0.594846i 0.0581993 + 0.0269827i
\(487\) 7.54201 + 18.2080i 0.341761 + 0.825084i 0.997538 + 0.0701296i \(0.0223413\pi\)
−0.655777 + 0.754955i \(0.727659\pi\)
\(488\) −0.704040 + 5.63546i −0.0318704 + 0.255105i
\(489\) 4.56235 11.0145i 0.206317 0.498093i
\(490\) −1.58066 1.71737i −0.0714070 0.0775830i
\(491\) −1.06377 5.34796i −0.0480075 0.241350i 0.949329 0.314283i \(-0.101764\pi\)
−0.997337 + 0.0729330i \(0.976764\pi\)
\(492\) −14.4235 + 7.99594i −0.650262 + 0.360485i
\(493\) 9.02650 + 13.5091i 0.406533 + 0.608420i
\(494\) 2.23291 + 14.2977i 0.100463 + 0.643285i
\(495\) 0.232464 + 0.232464i 0.0104485 + 0.0104485i
\(496\) 20.3035 14.4851i 0.911654 0.650402i
\(497\) −0.295579 + 0.295579i −0.0132585 + 0.0132585i
\(498\) 15.3307 + 11.1891i 0.686986 + 0.501394i
\(499\) −24.1511 + 16.1372i −1.08115 + 0.722402i −0.962704 0.270558i \(-0.912792\pi\)
−0.118448 + 0.992960i \(0.537792\pi\)
\(500\) 1.57409 + 1.25197i 0.0703953 + 0.0559897i
\(501\) 18.9845 3.77625i 0.848166 0.168711i
\(502\) −0.708710 + 17.0969i −0.0316313 + 0.763073i
\(503\) −12.7801 5.29369i −0.569836 0.236034i 0.0791128 0.996866i \(-0.474791\pi\)
−0.648949 + 0.760832i \(0.724791\pi\)
\(504\) 13.6452 0.985023i 0.607806 0.0438764i
\(505\) −1.63535 + 0.677382i −0.0727719 + 0.0301431i
\(506\) 11.5869 4.24625i 0.515102 0.188769i
\(507\) −0.492061 0.328785i −0.0218532 0.0146018i
\(508\) 6.49826 12.6186i 0.288314 0.559858i
\(509\) 4.16400 20.9339i 0.184566 0.927877i −0.771835 0.635822i \(-0.780661\pi\)
0.956402 0.292055i \(-0.0943389\pi\)
\(510\) 0.425779 + 0.698187i 0.0188538 + 0.0309163i
\(511\) −20.0548 −0.887174
\(512\) 22.1007 4.85379i 0.976722 0.214509i
\(513\) 2.90489 0.128254
\(514\) 13.4846 + 22.1119i 0.594780 + 0.975312i
\(515\) −0.222849 + 1.12034i −0.00981989 + 0.0493679i
\(516\) 1.73709 3.37314i 0.0764710 0.148494i
\(517\) 26.9652 + 18.0176i 1.18593 + 0.792412i
\(518\) −44.1520 + 16.1803i −1.93993 + 0.710923i
\(519\) −4.54710 + 1.88347i −0.199596 + 0.0826752i
\(520\) −1.00034 + 0.0722131i −0.0438680 + 0.00316675i
\(521\) 3.44046 + 1.42508i 0.150729 + 0.0624341i 0.456773 0.889583i \(-0.349005\pi\)
−0.306043 + 0.952018i \(0.599005\pi\)
\(522\) −0.165666 + 3.99653i −0.00725102 + 0.174923i
\(523\) −28.5474 + 5.67843i −1.24829 + 0.248300i −0.774634 0.632410i \(-0.782066\pi\)
−0.473656 + 0.880710i \(0.657066\pi\)
\(524\) 31.4023 + 24.9762i 1.37182 + 1.09109i
\(525\) −20.0678 + 13.4089i −0.875830 + 0.585211i
\(526\) 2.74317 + 2.00209i 0.119608 + 0.0872955i
\(527\) −25.3266 + 25.3266i −1.10325 + 1.10325i
\(528\) −10.6343 + 7.58685i −0.462799 + 0.330175i
\(529\) 11.2153 + 11.2153i 0.487620 + 0.487620i
\(530\) 0.106036 + 0.678971i 0.00460592 + 0.0294926i
\(531\) −1.16528 1.74396i −0.0505687 0.0756814i
\(532\) 24.5772 13.6248i 1.06556 0.590711i
\(533\) 5.66660 + 28.4879i 0.245448 + 1.23395i
\(534\) 1.70260 + 1.84986i 0.0736787 + 0.0800512i
\(535\) 0.121002 0.292125i 0.00523138 0.0126297i
\(536\) −4.56272 + 36.5222i −0.197080 + 1.57752i
\(537\) −2.91976 7.04893i −0.125997 0.304184i
\(538\) −31.7204 14.7064i −1.36756 0.634038i
\(539\) −29.7475 + 44.5202i −1.28131 + 1.91762i
\(540\) −0.0166626 + 0.200639i −0.000717046 + 0.00863415i
\(541\) −18.7309 3.72580i −0.805302 0.160185i −0.224759 0.974414i \(-0.572160\pi\)
−0.580543 + 0.814230i \(0.697160\pi\)
\(542\) −11.2589 2.72875i −0.483612 0.117210i
\(543\) 11.3356i 0.486456i
\(544\) −30.1538 + 12.1105i −1.29283 + 0.519231i
\(545\) 0.378900i 0.0162303i
\(546\) 5.67552 23.4174i 0.242890 1.00217i
\(547\) 20.6690 + 4.11133i 0.883744 + 0.175788i 0.616041 0.787714i \(-0.288735\pi\)
0.267703 + 0.963501i \(0.413735\pi\)
\(548\) 1.24421 1.05339i 0.0531498 0.0449988i
\(549\) 1.11554 1.66953i 0.0476102 0.0712537i
\(550\) 9.69360 20.9082i 0.413336 0.891529i
\(551\) 3.14421 + 7.59079i 0.133948 + 0.323378i
\(552\) 6.56972 + 3.73532i 0.279626 + 0.158986i
\(553\) −25.2170 + 60.8792i −1.07233 + 2.58885i
\(554\) −17.4393 + 16.0511i −0.740925 + 0.681944i
\(555\) −0.135005 0.678716i −0.00573064 0.0288099i
\(556\) −1.10673 + 3.86028i −0.0469357 + 0.163712i
\(557\) −6.45678 9.66325i −0.273582 0.409445i 0.669081 0.743189i \(-0.266688\pi\)
−0.942664 + 0.333744i \(0.891688\pi\)
\(558\) −8.71236 + 1.36063i −0.368823 + 0.0576000i
\(559\) −4.72524 4.72524i −0.199856 0.199856i
\(560\) 0.800084 + 1.77569i 0.0338097 + 0.0750365i
\(561\) 13.2653 13.2653i 0.560060 0.560060i
\(562\) −7.64767 + 10.4785i −0.322597 + 0.442007i
\(563\) 38.0216 25.4052i 1.60242 1.07070i 0.652691 0.757624i \(-0.273640\pi\)
0.949727 0.313078i \(-0.101360\pi\)
\(564\) 2.24920 + 19.7330i 0.0947084 + 0.830909i
\(565\) −0.302844 + 0.0602394i −0.0127407 + 0.00253429i
\(566\) −35.7487 1.48187i −1.50263 0.0622877i
\(567\) −4.46868 1.85099i −0.187667 0.0777342i
\(568\) 0.218510 0.109560i 0.00916849 0.00459703i
\(569\) −21.0187 + 8.70622i −0.881149 + 0.364984i −0.776942 0.629572i \(-0.783230\pi\)
−0.104207 + 0.994556i \(0.533230\pi\)
\(570\) 0.142297 + 0.388294i 0.00596018 + 0.0162638i
\(571\) 26.7826 + 17.8956i 1.12082 + 0.748907i 0.970827 0.239780i \(-0.0770753\pi\)
0.149992 + 0.988687i \(0.452075\pi\)
\(572\) 7.01527 + 21.9123i 0.293323 + 0.916198i
\(573\) −3.09779 + 15.5736i −0.129412 + 0.650597i
\(574\) 48.1561 29.3673i 2.00999 1.22577i
\(575\) −13.3326 −0.556007
\(576\) −7.75412 1.96817i −0.323088 0.0820069i
\(577\) 29.7363 1.23794 0.618969 0.785416i \(-0.287551\pi\)
0.618969 + 0.785416i \(0.287551\pi\)
\(578\) 19.3153 11.7791i 0.803409 0.489947i
\(579\) −1.36542 + 6.86443i −0.0567449 + 0.285276i
\(580\) −0.542327 + 0.173627i −0.0225189 + 0.00720949i
\(581\) −53.9738 36.0642i −2.23921 1.49619i
\(582\) 8.29224 + 22.6274i 0.343724 + 0.937936i
\(583\) 14.5645 6.03283i 0.603202 0.249854i
\(584\) 11.1297 + 3.69611i 0.460549 + 0.152946i
\(585\) 0.327604 + 0.135698i 0.0135447 + 0.00561042i
\(586\) −10.0475 0.416495i −0.415059 0.0172052i
\(587\) −18.6112 + 3.70200i −0.768167 + 0.152798i −0.563593 0.826053i \(-0.690581\pi\)
−0.204575 + 0.978851i \(0.565581\pi\)
\(588\) −32.5796 + 3.71348i −1.34356 + 0.153141i
\(589\) −15.0602 + 10.0629i −0.620543 + 0.414634i
\(590\) 0.176031 0.241190i 0.00724710 0.00992963i
\(591\) −12.6915 + 12.6915i −0.522059 + 0.522059i
\(592\) 27.4847 0.842241i 1.12962 0.0346159i
\(593\) 7.69601 + 7.69601i 0.316037 + 0.316037i 0.847243 0.531206i \(-0.178261\pi\)
−0.531206 + 0.847243i \(0.678261\pi\)
\(594\) 4.56325 0.712653i 0.187232 0.0292405i
\(595\) −1.55389 2.32557i −0.0637034 0.0953389i
\(596\) −19.2908 5.53060i −0.790183 0.226542i
\(597\) 3.01091 + 15.1369i 0.123228 + 0.619511i
\(598\) 9.79370 9.01407i 0.400494 0.368613i
\(599\) 3.12125 7.53537i 0.127531 0.307887i −0.847198 0.531277i \(-0.821712\pi\)
0.974729 + 0.223390i \(0.0717124\pi\)
\(600\) 13.6081 3.74291i 0.555549 0.152804i
\(601\) 10.0716 + 24.3150i 0.410829 + 0.991828i 0.984916 + 0.173034i \(0.0553571\pi\)
−0.574087 + 0.818794i \(0.694643\pi\)
\(602\) −5.45824 + 11.7729i −0.222461 + 0.479828i
\(603\) 7.22959 10.8198i 0.294411 0.440618i
\(604\) −3.11607 3.68051i −0.126791 0.149758i
\(605\) −0.0330196 0.00656800i −0.00134244 0.000267027i
\(606\) −5.85737 + 24.1677i −0.237939 + 0.981746i
\(607\) 11.8347i 0.480354i 0.970729 + 0.240177i \(0.0772055\pi\)
−0.970729 + 0.240177i \(0.922795\pi\)
\(608\) −16.1505 + 3.03168i −0.654988 + 0.122951i
\(609\) 13.6806i 0.554366i
\(610\) 0.277809 + 0.0673307i 0.0112482 + 0.00272614i
\(611\) 34.3079 + 6.82427i 1.38795 + 0.276080i
\(612\) 11.4492 + 0.950833i 0.462808 + 0.0384352i
\(613\) 14.8410 22.2111i 0.599421 0.897096i −0.400394 0.916343i \(-0.631127\pi\)
0.999815 + 0.0192468i \(0.00612682\pi\)
\(614\) 2.79969 + 1.29801i 0.112986 + 0.0523835i
\(615\) 0.317652 + 0.766879i 0.0128090 + 0.0309236i
\(616\) 35.2654 27.4325i 1.42088 1.10529i
\(617\) 6.21644 15.0078i 0.250264 0.604191i −0.747961 0.663743i \(-0.768967\pi\)
0.998225 + 0.0595513i \(0.0189670\pi\)
\(618\) 10.8677 + 11.8076i 0.437162 + 0.474972i
\(619\) 0.215116 + 1.08146i 0.00864623 + 0.0434675i 0.984868 0.173309i \(-0.0554458\pi\)
−0.976221 + 0.216776i \(0.930446\pi\)
\(620\) −0.608652 1.09792i −0.0244441 0.0440935i
\(621\) −1.48445 2.22163i −0.0595688 0.0891510i
\(622\) −0.517438 3.31325i −0.0207474 0.132849i
\(623\) −6.08025 6.08025i −0.243600 0.243600i
\(624\) −7.46553 + 11.9498i −0.298860 + 0.478374i
\(625\) −17.5703 + 17.5703i −0.702810 + 0.702810i
\(626\) −7.44521 5.43385i −0.297570 0.217181i
\(627\) 7.88803 5.27061i 0.315017 0.210488i
\(628\) 7.49347 9.42147i 0.299022 0.375957i
\(629\) −38.7301 + 7.70389i −1.54427 + 0.307174i
\(630\) 0.0285191 0.687995i 0.00113623 0.0274104i
\(631\) 17.8602 + 7.39795i 0.711004 + 0.294508i 0.708720 0.705490i \(-0.249273\pi\)
0.00228425 + 0.999997i \(0.499273\pi\)
\(632\) 25.2145 29.1381i 1.00298 1.15905i
\(633\) 3.61060 1.49556i 0.143508 0.0594431i
\(634\) −32.9682 + 12.0818i −1.30934 + 0.479831i
\(635\) −0.593998 0.396897i −0.0235721 0.0157504i
\(636\) 8.58302 + 4.42005i 0.340339 + 0.175266i
\(637\) −11.2670 + 56.6431i −0.446416 + 2.24428i
\(638\) 6.80142 + 11.1529i 0.269271 + 0.441547i
\(639\) −0.0864220 −0.00341880
\(640\) −0.116756 1.13289i −0.00461520 0.0447816i
\(641\) −24.3643 −0.962334 −0.481167 0.876629i \(-0.659787\pi\)
−0.481167 + 0.876629i \(0.659787\pi\)
\(642\) −2.31282 3.79253i −0.0912796 0.149679i
\(643\) −0.754239 + 3.79182i −0.0297443 + 0.149535i −0.992803 0.119755i \(-0.961789\pi\)
0.963059 + 0.269290i \(0.0867890\pi\)
\(644\) −22.9795 11.8339i −0.905518 0.466320i
\(645\) −0.158785 0.106097i −0.00625215 0.00417755i
\(646\) 22.1575 8.12003i 0.871775 0.319478i
\(647\) 17.4890 7.24418i 0.687563 0.284798i −0.0114215 0.999935i \(-0.503636\pi\)
0.698984 + 0.715137i \(0.253636\pi\)
\(648\) 2.13881 + 1.85081i 0.0840204 + 0.0727066i
\(649\) −6.32845 2.62133i −0.248413 0.102896i
\(650\) 1.02952 24.8362i 0.0403812 0.974157i
\(651\) 29.5795 5.88374i 1.15931 0.230602i
\(652\) 14.8424 18.6612i 0.581273 0.730829i
\(653\) −19.7372 + 13.1880i −0.772377 + 0.516086i −0.878197 0.478299i \(-0.841253\pi\)
0.105820 + 0.994385i \(0.466253\pi\)
\(654\) −4.29967 3.13810i −0.168130 0.122709i
\(655\) 1.42802 1.42802i 0.0557975 0.0557975i
\(656\) −32.1372 + 7.42253i −1.25475 + 0.289801i
\(657\) −2.93184 2.93184i −0.114382 0.114382i
\(658\) −10.4813 67.1139i −0.408604 2.61637i
\(659\) 7.54177 + 11.2871i 0.293786 + 0.439681i 0.948773 0.315959i \(-0.102326\pi\)
−0.654987 + 0.755640i \(0.727326\pi\)
\(660\) 0.318792 + 0.575054i 0.0124090 + 0.0223840i
\(661\) 0.0444817 + 0.223624i 0.00173014 + 0.00869798i 0.981641 0.190739i \(-0.0610885\pi\)
−0.979911 + 0.199437i \(0.936089\pi\)
\(662\) 29.3742 + 31.9148i 1.14166 + 1.24040i
\(663\) 7.74343 18.6943i 0.300730 0.726026i
\(664\) 23.3068 + 29.9616i 0.904479 + 1.16274i
\(665\) −0.541269 1.30674i −0.0209895 0.0506731i
\(666\) −8.82005 4.08921i −0.341770 0.158454i
\(667\) 4.19861 6.28367i 0.162571 0.243305i
\(668\) 38.5801 + 3.20399i 1.49271 + 0.123966i
\(669\) −4.58452 0.911918i −0.177248 0.0352568i
\(670\) 1.80042 + 0.436355i 0.0695563 + 0.0168579i
\(671\) 6.55751i 0.253150i
\(672\) 26.7765 + 5.62731i 1.03293 + 0.217078i
\(673\) 40.3982i 1.55723i 0.627499 + 0.778617i \(0.284079\pi\)
−0.627499 + 0.778617i \(0.715921\pi\)
\(674\) −2.37042 + 9.78045i −0.0913053 + 0.376729i
\(675\) −4.89399 0.973475i −0.188370 0.0374691i
\(676\) −0.764789 0.903322i −0.0294150 0.0347432i
\(677\) 17.7152 26.5127i 0.680852 1.01897i −0.316665 0.948538i \(-0.602563\pi\)
0.997517 0.0704296i \(-0.0224370\pi\)
\(678\) −1.82461 + 3.93552i −0.0700738 + 0.151143i
\(679\) −31.5419 76.1488i −1.21047 2.92232i
\(680\) 0.433749 + 1.57698i 0.0166335 + 0.0604745i
\(681\) −4.13514 + 9.98311i −0.158459 + 0.382553i
\(682\) −21.1891 + 19.5023i −0.811371 + 0.746782i
\(683\) 8.00735 + 40.2557i 0.306393 + 1.54034i 0.760467 + 0.649377i \(0.224970\pi\)
−0.454074 + 0.890964i \(0.650030\pi\)
\(684\) 5.58480 + 1.60114i 0.213540 + 0.0612211i
\(685\) −0.0455869 0.0682256i −0.00174178 0.00260677i
\(686\) 63.4975 9.91654i 2.42435 0.378615i
\(687\) −6.68314 6.68314i −0.254978 0.254978i
\(688\) 5.19887 5.52757i 0.198205 0.210737i
\(689\) 12.0235 12.0235i 0.458057 0.458057i
\(690\) 0.224246 0.307252i 0.00853692 0.0116969i
\(691\) −2.99968 + 2.00432i −0.114113 + 0.0762479i −0.611317 0.791386i \(-0.709360\pi\)
0.497204 + 0.867634i \(0.334360\pi\)
\(692\) −9.78017 + 1.11476i −0.371786 + 0.0423769i
\(693\) −15.4928 + 3.08171i −0.588523 + 0.117064i
\(694\) −10.0320 0.415853i −0.380811 0.0157856i
\(695\) 0.186739 + 0.0773500i 0.00708343 + 0.00293405i
\(696\) −2.52134 + 7.59222i −0.0955711 + 0.287782i
\(697\) 43.7610 18.1264i 1.65757 0.686586i
\(698\) −12.0158 32.7881i −0.454805 1.24105i
\(699\) −24.7239 16.5200i −0.935144 0.624843i
\(700\) −45.9721 + 14.7181i −1.73758 + 0.556292i
\(701\) −9.13552 + 45.9273i −0.345044 + 1.73465i 0.285392 + 0.958411i \(0.407876\pi\)
−0.630436 + 0.776241i \(0.717124\pi\)
\(702\) 4.25313 2.59371i 0.160524 0.0978931i
\(703\) −19.9694 −0.753161
\(704\) −24.6268 + 8.72458i −0.928156 + 0.328820i
\(705\) 0.999642 0.0376487
\(706\) −17.9208 + 10.9287i −0.674456 + 0.411307i
\(707\) 16.5926 83.4168i 0.624030 3.13721i
\(708\) −1.27905 3.99513i −0.0480698 0.150146i
\(709\) 4.45899 + 2.97940i 0.167461 + 0.111894i 0.636477 0.771296i \(-0.280391\pi\)
−0.469016 + 0.883190i \(0.655391\pi\)
\(710\) −0.00423342 0.0115519i −0.000158877 0.000433536i
\(711\) −12.5865 + 5.21349i −0.472030 + 0.195521i
\(712\) 2.25371 + 4.49490i 0.0844615 + 0.168453i
\(713\) 15.3920 + 6.37556i 0.576434 + 0.238767i
\(714\) −39.2596 1.62741i −1.46925 0.0609042i
\(715\) 1.13579 0.225923i 0.0424762 0.00844905i
\(716\) −1.72810 15.1612i −0.0645823 0.566602i
\(717\) −17.1518 + 11.4605i −0.640545 + 0.427999i
\(718\) 16.8616 23.1030i 0.629270 0.862196i
\(719\) 13.3298 13.3298i 0.497118 0.497118i −0.413421 0.910540i \(-0.635666\pi\)
0.910540 + 0.413421i \(0.135666\pi\)
\(720\) −0.142625 + 0.376555i −0.00531531 + 0.0140334i
\(721\) −38.8101 38.8101i −1.44536 1.44536i
\(722\) −14.7575 + 2.30471i −0.549216 + 0.0857723i
\(723\) 7.02195 + 10.5091i 0.261149 + 0.390837i
\(724\) 6.24802 21.7932i 0.232206 0.809937i
\(725\) −2.75338 13.8422i −0.102258 0.514085i
\(726\) −0.348005 + 0.320302i −0.0129157 + 0.0118875i
\(727\) −1.74275 + 4.20737i −0.0646351 + 0.156043i −0.952897 0.303295i \(-0.901913\pi\)
0.888262 + 0.459338i \(0.151913\pi\)
\(728\) 23.8188 41.8928i 0.882785 1.55265i
\(729\) −0.382683 0.923880i −0.0141735 0.0342178i
\(730\) 0.248278 0.535513i 0.00918918 0.0198202i
\(731\) −6.05428 + 9.06087i −0.223926 + 0.335128i
\(732\) 3.06491 2.59488i 0.113282 0.0959094i
\(733\) −11.6301 2.31336i −0.429566 0.0854459i −0.0244280 0.999702i \(-0.507776\pi\)
−0.405138 + 0.914256i \(0.632776\pi\)
\(734\) −8.92785 + 36.8367i −0.329533 + 1.35967i
\(735\) 1.65043i 0.0608771i
\(736\) 10.5717 + 10.8025i 0.389680 + 0.398184i
\(737\) 42.4978i 1.56543i
\(738\) 11.3332 + 2.74675i 0.417181 + 0.101109i
\(739\) 6.25428 + 1.24405i 0.230068 + 0.0457633i 0.308778 0.951134i \(-0.400080\pi\)
−0.0787100 + 0.996898i \(0.525080\pi\)
\(740\) 0.114546 1.37928i 0.00421079 0.0507033i
\(741\) 5.68491 8.50807i 0.208840 0.312552i
\(742\) −29.9564 13.8886i −1.09973 0.509866i
\(743\) 10.1105 + 24.4088i 0.370917 + 0.895474i 0.993595 + 0.112996i \(0.0360446\pi\)
−0.622678 + 0.782478i \(0.713955\pi\)
\(744\) −17.4999 2.18627i −0.641577 0.0801524i
\(745\) −0.386538 + 0.933184i −0.0141616 + 0.0341892i
\(746\) −26.6470 28.9517i −0.975616 1.06000i
\(747\) −2.61823 13.1628i −0.0957962 0.481600i
\(748\) 32.8148 18.1915i 1.19983 0.665146i
\(749\) 8.44069 + 12.6324i 0.308416 + 0.461577i
\(750\) −0.219444 1.40514i −0.00801298 0.0513086i
\(751\) 12.4442 + 12.4442i 0.454096 + 0.454096i 0.896711 0.442616i \(-0.145949\pi\)
−0.442616 + 0.896711i \(0.645949\pi\)
\(752\) −6.55237 + 39.1773i −0.238940 + 1.42865i
\(753\) 8.55580 8.55580i 0.311791 0.311791i
\(754\) 11.3811 + 8.30648i 0.414476 + 0.302504i
\(755\) −0.201819 + 0.134851i −0.00734496 + 0.00490775i
\(756\) −7.57102 6.02170i −0.275355 0.219007i
\(757\) 36.4421 7.24878i 1.32451 0.263462i 0.518355 0.855165i \(-0.326545\pi\)
0.806155 + 0.591704i \(0.201545\pi\)
\(758\) 1.66470 40.1593i 0.0604647 1.45865i
\(759\) −8.06181 3.33931i −0.292625 0.121209i
\(760\) 0.0595513 + 0.824946i 0.00216015 + 0.0299239i
\(761\) 20.3758 8.43993i 0.738622 0.305947i 0.0185320 0.999828i \(-0.494101\pi\)
0.720089 + 0.693881i \(0.244101\pi\)
\(762\) −9.42347 + 3.45341i −0.341376 + 0.125104i
\(763\) 15.1376 + 10.1146i 0.548017 + 0.366173i
\(764\) −14.5396 + 28.2336i −0.526025 + 1.02146i
\(765\) 0.112812 0.567142i 0.00407871 0.0205051i
\(766\) −8.23230 13.4992i −0.297445 0.487746i
\(767\) −7.38830 −0.266776
\(768\) −13.8228 8.05786i −0.498789 0.290763i
\(769\) −16.4217 −0.592182 −0.296091 0.955160i \(-0.595683\pi\)
−0.296091 + 0.955160i \(0.595683\pi\)
\(770\) −1.17085 1.91995i −0.0421945 0.0691900i
\(771\) 3.57279 17.9616i 0.128671 0.646871i
\(772\) −6.40867 + 12.4446i −0.230653 + 0.447891i
\(773\) 17.8638 + 11.9362i 0.642515 + 0.429315i 0.833684 0.552242i \(-0.186228\pi\)
−0.191168