Properties

Label 384.2.v.a.109.29
Level $384$
Weight $2$
Character 384.109
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 109.29
Character \(\chi\) \(=\) 384.109
Dual form 384.2.v.a.229.29

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38550 - 0.283508i) q^{2} +(-0.881921 - 0.471397i) q^{3} +(1.83925 - 0.785602i) q^{4} +(-0.311554 + 0.379630i) q^{5} +(-1.35555 - 0.403091i) q^{6} +(2.05811 + 1.37518i) q^{7} +(2.32556 - 1.60990i) q^{8} +(0.555570 + 0.831470i) q^{9} +O(q^{10})\) \(q+(1.38550 - 0.283508i) q^{2} +(-0.881921 - 0.471397i) q^{3} +(1.83925 - 0.785602i) q^{4} +(-0.311554 + 0.379630i) q^{5} +(-1.35555 - 0.403091i) q^{6} +(2.05811 + 1.37518i) q^{7} +(2.32556 - 1.60990i) q^{8} +(0.555570 + 0.831470i) q^{9} +(-0.324032 + 0.614307i) q^{10} +(0.708920 + 0.215049i) q^{11} +(-1.99240 - 0.174176i) q^{12} +(1.87893 - 1.54200i) q^{13} +(3.24140 + 1.32184i) q^{14} +(0.453723 - 0.187938i) q^{15} +(2.76566 - 2.88983i) q^{16} +(0.338982 + 0.140411i) q^{17} +(1.00547 + 0.994497i) q^{18} +(0.634562 - 6.44281i) q^{19} +(-0.274787 + 0.942991i) q^{20} +(-1.16683 - 2.18299i) q^{21} +(1.04318 + 0.0969667i) q^{22} +(-7.28620 - 1.44931i) q^{23} +(-2.80986 + 0.323539i) q^{24} +(0.928399 + 4.66738i) q^{25} +(2.16610 - 2.66914i) q^{26} +(-0.0980171 - 0.995185i) q^{27} +(4.86572 + 0.912450i) q^{28} +(0.561081 + 1.84964i) q^{29} +(0.575353 - 0.389023i) q^{30} +(-5.57748 + 5.57748i) q^{31} +(3.01254 - 4.78796i) q^{32} +(-0.523839 - 0.523839i) q^{33} +(0.509468 + 0.0984360i) q^{34} +(-1.16327 + 0.352875i) q^{35} +(1.67504 + 1.09282i) q^{36} +(6.92412 - 0.681966i) q^{37} +(-0.947398 - 9.10645i) q^{38} +(-2.38396 + 0.474200i) q^{39} +(-0.113374 + 1.38442i) q^{40} +(-0.989289 + 4.97349i) q^{41} +(-2.23555 - 2.69374i) q^{42} +(-5.69893 + 3.04614i) q^{43} +(1.47282 - 0.161402i) q^{44} +(-0.488741 - 0.0481368i) q^{45} +(-10.5060 + 0.0576591i) q^{46} +(-1.01282 + 2.44515i) q^{47} +(-3.80135 + 1.24488i) q^{48} +(-0.334102 - 0.806595i) q^{49} +(2.60954 + 6.20346i) q^{50} +(-0.232766 - 0.283626i) q^{51} +(2.24442 - 4.31221i) q^{52} +(-2.92011 + 9.62630i) q^{53} +(-0.417946 - 1.35104i) q^{54} +(-0.302506 + 0.202128i) q^{55} +(7.00016 - 0.115265i) q^{56} +(-3.59675 + 5.38292i) q^{57} +(1.30177 + 2.40361i) q^{58} +(-8.85770 - 7.26933i) q^{59} +(0.686863 - 0.702110i) q^{60} +(0.238013 - 0.445291i) q^{61} +(-6.14637 + 9.30888i) q^{62} +2.47527i q^{63} +(2.81647 - 7.48782i) q^{64} +1.19372i q^{65} +(-0.874293 - 0.577269i) q^{66} +(1.29140 - 2.41603i) q^{67} +(0.733778 - 0.00805453i) q^{68} +(5.74265 + 4.71287i) q^{69} +(-1.51168 + 0.818707i) q^{70} +(0.719325 - 1.07655i) q^{71} +(2.63059 + 1.03922i) q^{72} +(-0.675000 + 0.451021i) q^{73} +(9.40006 - 2.90791i) q^{74} +(1.38141 - 4.55390i) q^{75} +(-3.89437 - 12.3484i) q^{76} +(1.16330 + 1.41749i) q^{77} +(-3.16855 + 1.33288i) q^{78} +(3.41873 + 8.25355i) q^{79} +(0.235414 + 1.95027i) q^{80} +(-0.382683 + 0.923880i) q^{81} +(0.0393575 + 7.17127i) q^{82} +(-11.2884 - 1.11181i) q^{83} +(-3.86106 - 3.09839i) q^{84} +(-0.158915 + 0.0849420i) q^{85} +(-7.03230 + 5.83614i) q^{86} +(0.377083 - 1.89573i) q^{87} +(1.99484 - 0.641179i) q^{88} +(-9.94691 + 1.97856i) q^{89} +(-0.690800 + 0.0718680i) q^{90} +(5.98758 - 0.589726i) q^{91} +(-14.5397 + 3.05840i) q^{92} +(7.54810 - 2.28969i) q^{93} +(-0.710042 + 3.67491i) q^{94} +(2.24818 + 2.24818i) q^{95} +(-4.91386 + 2.80250i) q^{96} +(1.02015 - 1.02015i) q^{97} +(-0.691576 - 1.02282i) q^{98} +(0.215049 + 0.708920i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{23}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38550 0.283508i 0.979700 0.200470i
\(3\) −0.881921 0.471397i −0.509177 0.272161i
\(4\) 1.83925 0.785602i 0.919623 0.392801i
\(5\) −0.311554 + 0.379630i −0.139331 + 0.169776i −0.838001 0.545669i \(-0.816276\pi\)
0.698670 + 0.715444i \(0.253776\pi\)
\(6\) −1.35555 0.403091i −0.553401 0.164561i
\(7\) 2.05811 + 1.37518i 0.777892 + 0.519771i 0.879984 0.475004i \(-0.157553\pi\)
−0.102091 + 0.994775i \(0.532553\pi\)
\(8\) 2.32556 1.60990i 0.822210 0.569184i
\(9\) 0.555570 + 0.831470i 0.185190 + 0.277157i
\(10\) −0.324032 + 0.614307i −0.102468 + 0.194261i
\(11\) 0.708920 + 0.215049i 0.213748 + 0.0648396i 0.395342 0.918534i \(-0.370626\pi\)
−0.181595 + 0.983373i \(0.558126\pi\)
\(12\) −1.99240 0.174176i −0.575157 0.0502803i
\(13\) 1.87893 1.54200i 0.521122 0.427674i −0.336707 0.941610i \(-0.609313\pi\)
0.857829 + 0.513936i \(0.171813\pi\)
\(14\) 3.24140 + 1.32184i 0.866299 + 0.353275i
\(15\) 0.453723 0.187938i 0.117151 0.0485254i
\(16\) 2.76566 2.88983i 0.691415 0.722458i
\(17\) 0.338982 + 0.140411i 0.0822151 + 0.0340546i 0.423412 0.905937i \(-0.360832\pi\)
−0.341197 + 0.939992i \(0.610832\pi\)
\(18\) 1.00547 + 0.994497i 0.236992 + 0.234405i
\(19\) 0.634562 6.44281i 0.145578 1.47808i −0.593702 0.804685i \(-0.702334\pi\)
0.739280 0.673398i \(-0.235166\pi\)
\(20\) −0.274787 + 0.942991i −0.0614443 + 0.210859i
\(21\) −1.16683 2.18299i −0.254624 0.476368i
\(22\) 1.04318 + 0.0969667i 0.222407 + 0.0206734i
\(23\) −7.28620 1.44931i −1.51928 0.302203i −0.636234 0.771496i \(-0.719509\pi\)
−0.883043 + 0.469293i \(0.844509\pi\)
\(24\) −2.80986 + 0.323539i −0.573561 + 0.0660421i
\(25\) 0.928399 + 4.66738i 0.185680 + 0.933475i
\(26\) 2.16610 2.66914i 0.424807 0.523461i
\(27\) −0.0980171 0.995185i −0.0188634 0.191523i
\(28\) 4.86572 + 0.912450i 0.919535 + 0.172437i
\(29\) 0.561081 + 1.84964i 0.104190 + 0.343469i 0.993499 0.113837i \(-0.0363143\pi\)
−0.889309 + 0.457306i \(0.848814\pi\)
\(30\) 0.575353 0.389023i 0.105045 0.0710255i
\(31\) −5.57748 + 5.57748i −1.00174 + 1.00174i −0.00174611 + 0.999998i \(0.500556\pi\)
−0.999998 + 0.00174611i \(0.999444\pi\)
\(32\) 3.01254 4.78796i 0.532548 0.846400i
\(33\) −0.523839 0.523839i −0.0911886 0.0911886i
\(34\) 0.509468 + 0.0984360i 0.0873731 + 0.0168816i
\(35\) −1.16327 + 0.352875i −0.196629 + 0.0596468i
\(36\) 1.67504 + 1.09282i 0.279173 + 0.182137i
\(37\) 6.92412 0.681966i 1.13832 0.112115i 0.488754 0.872422i \(-0.337452\pi\)
0.649564 + 0.760307i \(0.274952\pi\)
\(38\) −0.947398 9.10645i −0.153688 1.47726i
\(39\) −2.38396 + 0.474200i −0.381740 + 0.0759328i
\(40\) −0.113374 + 1.38442i −0.0179260 + 0.218896i
\(41\) −0.989289 + 4.97349i −0.154501 + 0.776729i 0.823368 + 0.567508i \(0.192093\pi\)
−0.977869 + 0.209220i \(0.932907\pi\)
\(42\) −2.23555 2.69374i −0.344952 0.415653i
\(43\) −5.69893 + 3.04614i −0.869079 + 0.464533i −0.844744 0.535171i \(-0.820247\pi\)
−0.0243358 + 0.999704i \(0.507747\pi\)
\(44\) 1.47282 0.161402i 0.222036 0.0243322i
\(45\) −0.488741 0.0481368i −0.0728572 0.00717581i
\(46\) −10.5060 + 0.0576591i −1.54902 + 0.00850136i
\(47\) −1.01282 + 2.44515i −0.147734 + 0.356662i −0.980372 0.197155i \(-0.936830\pi\)
0.832638 + 0.553818i \(0.186830\pi\)
\(48\) −3.80135 + 1.24488i −0.548678 + 0.179683i
\(49\) −0.334102 0.806595i −0.0477289 0.115228i
\(50\) 2.60954 + 6.20346i 0.369044 + 0.877302i
\(51\) −0.232766 0.283626i −0.0325938 0.0397156i
\(52\) 2.24442 4.31221i 0.311245 0.597996i
\(53\) −2.92011 + 9.62630i −0.401107 + 1.32227i 0.491279 + 0.871002i \(0.336529\pi\)
−0.892387 + 0.451272i \(0.850971\pi\)
\(54\) −0.417946 1.35104i −0.0568752 0.183854i
\(55\) −0.302506 + 0.202128i −0.0407899 + 0.0272549i
\(56\) 7.00016 0.115265i 0.935436 0.0154029i
\(57\) −3.59675 + 5.38292i −0.476402 + 0.712986i
\(58\) 1.30177 + 2.40361i 0.170930 + 0.315610i
\(59\) −8.85770 7.26933i −1.15317 0.946386i −0.154044 0.988064i \(-0.549230\pi\)
−0.999131 + 0.0416778i \(0.986730\pi\)
\(60\) 0.686863 0.702110i 0.0886737 0.0906420i
\(61\) 0.238013 0.445291i 0.0304745 0.0570137i −0.866223 0.499657i \(-0.833459\pi\)
0.896698 + 0.442644i \(0.145959\pi\)
\(62\) −6.14637 + 9.30888i −0.780589 + 1.18223i
\(63\) 2.47527i 0.311854i
\(64\) 2.81647 7.48782i 0.352059 0.935978i
\(65\) 1.19372i 0.148062i
\(66\) −0.874293 0.577269i −0.107618 0.0710569i
\(67\) 1.29140 2.41603i 0.157769 0.295165i −0.790601 0.612332i \(-0.790232\pi\)
0.948370 + 0.317167i \(0.102732\pi\)
\(68\) 0.733778 0.00805453i 0.0889837 0.000976755i
\(69\) 5.74265 + 4.71287i 0.691334 + 0.567363i
\(70\) −1.51168 + 0.818707i −0.180680 + 0.0978543i
\(71\) 0.719325 1.07655i 0.0853682 0.127762i −0.786328 0.617809i \(-0.788020\pi\)
0.871696 + 0.490047i \(0.163020\pi\)
\(72\) 2.63059 + 1.03922i 0.310018 + 0.122474i
\(73\) −0.675000 + 0.451021i −0.0790028 + 0.0527880i −0.594444 0.804137i \(-0.702628\pi\)
0.515442 + 0.856925i \(0.327628\pi\)
\(74\) 9.40006 2.90791i 1.09273 0.338037i
\(75\) 1.38141 4.55390i 0.159512 0.525839i
\(76\) −3.89437 12.3484i −0.446715 1.41646i
\(77\) 1.16330 + 1.41749i 0.132571 + 0.161538i
\(78\) −3.16855 + 1.33288i −0.358768 + 0.150919i
\(79\) 3.41873 + 8.25355i 0.384637 + 0.928597i 0.991055 + 0.133451i \(0.0426058\pi\)
−0.606418 + 0.795146i \(0.707394\pi\)
\(80\) 0.235414 + 1.95027i 0.0263201 + 0.218046i
\(81\) −0.382683 + 0.923880i −0.0425204 + 0.102653i
\(82\) 0.0393575 + 7.17127i 0.00434631 + 0.791934i
\(83\) −11.2884 1.11181i −1.23906 0.122037i −0.542824 0.839847i \(-0.682645\pi\)
−0.696239 + 0.717810i \(0.745145\pi\)
\(84\) −3.86106 3.09839i −0.421276 0.338062i
\(85\) −0.158915 + 0.0849420i −0.0172368 + 0.00921326i
\(86\) −7.03230 + 5.83614i −0.758312 + 0.629327i
\(87\) 0.377083 1.89573i 0.0404276 0.203243i
\(88\) 1.99484 0.641179i 0.212651 0.0683499i
\(89\) −9.94691 + 1.97856i −1.05437 + 0.209727i −0.691696 0.722189i \(-0.743136\pi\)
−0.362674 + 0.931916i \(0.618136\pi\)
\(90\) −0.690800 + 0.0718680i −0.0728167 + 0.00757555i
\(91\) 5.98758 0.589726i 0.627669 0.0618200i
\(92\) −14.5397 + 3.05840i −1.51587 + 0.318861i
\(93\) 7.54810 2.28969i 0.782702 0.237430i
\(94\) −0.710042 + 3.67491i −0.0732352 + 0.379038i
\(95\) 2.24818 + 2.24818i 0.230659 + 0.230659i
\(96\) −4.91386 + 2.80250i −0.501518 + 0.286029i
\(97\) 1.02015 1.02015i 0.103581 0.103581i −0.653417 0.756998i \(-0.726665\pi\)
0.756998 + 0.653417i \(0.226665\pi\)
\(98\) −0.691576 1.02282i −0.0698597 0.103320i
\(99\) 0.215049 + 0.708920i 0.0216132 + 0.0712492i
\(100\) 5.37425 + 7.85510i 0.537425 + 0.785510i
\(101\) −1.15179 11.6943i −0.114607 1.16363i −0.864697 0.502293i \(-0.832490\pi\)
0.750090 0.661336i \(-0.230010\pi\)
\(102\) −0.402909 0.326975i −0.0398939 0.0323753i
\(103\) −1.68498 8.47094i −0.166026 0.834667i −0.970578 0.240786i \(-0.922595\pi\)
0.804553 0.593881i \(-0.202405\pi\)
\(104\) 1.88711 6.61090i 0.185047 0.648252i
\(105\) 1.19226 + 0.237155i 0.116353 + 0.0231440i
\(106\) −1.31669 + 14.1652i −0.127888 + 1.37584i
\(107\) 0.0725158 + 0.135668i 0.00701037 + 0.0131155i 0.885402 0.464826i \(-0.153883\pi\)
−0.878392 + 0.477941i \(0.841383\pi\)
\(108\) −0.962097 1.75339i −0.0925778 0.168720i
\(109\) −0.228073 + 2.31567i −0.0218455 + 0.221801i 0.978063 + 0.208307i \(0.0667953\pi\)
−0.999909 + 0.0134938i \(0.995705\pi\)
\(110\) −0.361819 + 0.365812i −0.0344981 + 0.0348788i
\(111\) −6.42800 2.66257i −0.610119 0.252720i
\(112\) 9.66608 2.14430i 0.913359 0.202617i
\(113\) 4.53955 1.88034i 0.427045 0.176888i −0.158801 0.987311i \(-0.550763\pi\)
0.585845 + 0.810423i \(0.300763\pi\)
\(114\) −3.45722 + 8.47777i −0.323798 + 0.794016i
\(115\) 2.82025 2.31452i 0.262990 0.215830i
\(116\) 2.48505 + 2.96115i 0.230731 + 0.274936i
\(117\) 2.32600 + 0.705586i 0.215039 + 0.0652314i
\(118\) −14.3333 7.56047i −1.31949 0.695997i
\(119\) 0.504571 + 0.755143i 0.0462539 + 0.0692239i
\(120\) 0.752599 1.16751i 0.0687026 0.106578i
\(121\) −8.68984 5.80637i −0.789986 0.527852i
\(122\) 0.203525 0.684432i 0.0184263 0.0619655i
\(123\) 3.21696 3.91988i 0.290064 0.353444i
\(124\) −5.87668 + 14.6400i −0.527742 + 1.31471i
\(125\) −4.22671 2.25922i −0.378048 0.202071i
\(126\) 0.701757 + 3.42949i 0.0625175 + 0.305524i
\(127\) 17.8119 1.58055 0.790274 0.612753i \(-0.209938\pi\)
0.790274 + 0.612753i \(0.209938\pi\)
\(128\) 1.77938 11.1729i 0.157277 0.987555i
\(129\) 6.46195 0.568943
\(130\) 0.338427 + 1.65390i 0.0296820 + 0.145057i
\(131\) −8.63086 4.61329i −0.754082 0.403065i 0.0491041 0.998794i \(-0.484363\pi\)
−0.803186 + 0.595729i \(0.796863\pi\)
\(132\) −1.37500 0.551940i −0.119678 0.0480402i
\(133\) 10.1661 12.3874i 0.881509 1.07412i
\(134\) 1.10427 3.71354i 0.0953945 0.320801i
\(135\) 0.408340 + 0.272844i 0.0351443 + 0.0234827i
\(136\) 1.01437 0.219191i 0.0869815 0.0187955i
\(137\) 0.690622 + 1.03359i 0.0590038 + 0.0883055i 0.859798 0.510634i \(-0.170589\pi\)
−0.800795 + 0.598939i \(0.795589\pi\)
\(138\) 9.29260 + 4.90162i 0.791039 + 0.417254i
\(139\) 20.2956 + 6.15660i 1.72145 + 0.522196i 0.987583 0.157098i \(-0.0502139\pi\)
0.733866 + 0.679294i \(0.237714\pi\)
\(140\) −1.86233 + 1.56290i −0.157396 + 0.132089i
\(141\) 2.04586 1.67900i 0.172293 0.141397i
\(142\) 0.691419 1.69549i 0.0580226 0.142283i
\(143\) 1.66362 0.689093i 0.139119 0.0576249i
\(144\) 3.93933 + 0.694057i 0.328277 + 0.0578381i
\(145\) −0.876985 0.363259i −0.0728296 0.0301670i
\(146\) −0.807348 + 0.816259i −0.0668166 + 0.0675541i
\(147\) −0.0855740 + 0.868848i −0.00705803 + 0.0716614i
\(148\) 12.1994 6.69390i 1.00279 0.550236i
\(149\) 10.1289 + 18.9498i 0.829790 + 1.55243i 0.833556 + 0.552435i \(0.186301\pi\)
−0.00376611 + 0.999993i \(0.501199\pi\)
\(150\) 0.622886 6.70109i 0.0508585 0.547142i
\(151\) 4.88254 + 0.971198i 0.397336 + 0.0790350i 0.389714 0.920936i \(-0.372574\pi\)
0.00762170 + 0.999971i \(0.497574\pi\)
\(152\) −8.89654 16.0047i −0.721605 1.29816i
\(153\) 0.0715808 + 0.359861i 0.00578697 + 0.0290930i
\(154\) 2.01363 + 1.63413i 0.162263 + 0.131682i
\(155\) −0.379691 3.85506i −0.0304975 0.309646i
\(156\) −4.01217 + 2.74502i −0.321230 + 0.219777i
\(157\) −1.77342 5.84617i −0.141534 0.466576i 0.857302 0.514814i \(-0.172139\pi\)
−0.998836 + 0.0482388i \(0.984639\pi\)
\(158\) 7.07661 + 10.4661i 0.562985 + 0.832638i
\(159\) 7.11311 7.11311i 0.564106 0.564106i
\(160\) 0.879082 + 2.63536i 0.0694976 + 0.208344i
\(161\) −13.0027 13.0027i −1.02476 1.02476i
\(162\) −0.268283 + 1.38853i −0.0210783 + 0.109093i
\(163\) −7.14497 + 2.16740i −0.559637 + 0.169764i −0.557416 0.830233i \(-0.688207\pi\)
−0.00222143 + 0.999998i \(0.500707\pi\)
\(164\) 2.08764 + 9.92466i 0.163017 + 0.774986i
\(165\) 0.362069 0.0356607i 0.0281870 0.00277618i
\(166\) −15.9553 + 1.65993i −1.23837 + 0.128835i
\(167\) 4.89712 0.974098i 0.378951 0.0753779i −0.00193992 0.999998i \(-0.500617\pi\)
0.380890 + 0.924620i \(0.375617\pi\)
\(168\) −6.22793 3.19820i −0.480495 0.246746i
\(169\) −1.38355 + 6.95558i −0.106427 + 0.535045i
\(170\) −0.196096 + 0.162741i −0.0150399 + 0.0124817i
\(171\) 5.70955 3.05182i 0.436620 0.233378i
\(172\) −8.08869 + 10.0797i −0.616757 + 0.768570i
\(173\) −0.154378 0.0152050i −0.0117372 0.00115601i 0.0921468 0.995745i \(-0.470627\pi\)
−0.103884 + 0.994589i \(0.533127\pi\)
\(174\) −0.0150018 2.73344i −0.00113728 0.207222i
\(175\) −4.50776 + 10.8827i −0.340754 + 0.822654i
\(176\) 2.58209 1.45391i 0.194632 0.109593i
\(177\) 4.38506 + 10.5865i 0.329601 + 0.795728i
\(178\) −13.2206 + 5.56133i −0.990923 + 0.416840i
\(179\) −15.3595 18.7156i −1.14802 1.39887i −0.903157 0.429310i \(-0.858757\pi\)
−0.244864 0.969557i \(-0.578743\pi\)
\(180\) −0.936732 + 0.295420i −0.0698199 + 0.0220193i
\(181\) 5.40417 17.8152i 0.401689 1.32419i −0.490072 0.871682i \(-0.663029\pi\)
0.891760 0.452508i \(-0.149471\pi\)
\(182\) 8.12863 2.51459i 0.602534 0.186394i
\(183\) −0.419818 + 0.280513i −0.0310338 + 0.0207361i
\(184\) −19.2777 + 8.35955i −1.42117 + 0.616274i
\(185\) −1.89834 + 2.84107i −0.139569 + 0.208880i
\(186\) 9.80879 5.31232i 0.719215 0.389518i
\(187\) 0.210116 + 0.172438i 0.0153652 + 0.0126099i
\(188\) 0.0580992 + 5.29291i 0.00423732 + 0.386025i
\(189\) 1.16683 2.18299i 0.0848746 0.158789i
\(190\) 3.75225 + 2.47749i 0.272217 + 0.179736i
\(191\) 0.756233i 0.0547191i −0.999626 0.0273596i \(-0.991290\pi\)
0.999626 0.0273596i \(-0.00870990\pi\)
\(192\) −6.01364 + 5.27599i −0.433997 + 0.380762i
\(193\) 11.5295i 0.829911i −0.909842 0.414956i \(-0.863797\pi\)
0.909842 0.414956i \(-0.136203\pi\)
\(194\) 1.12420 1.70264i 0.0807130 0.122243i
\(195\) 0.562714 1.05276i 0.0402968 0.0753899i
\(196\) −1.24816 1.22106i −0.0891542 0.0872182i
\(197\) 18.2143 + 14.9481i 1.29771 + 1.06501i 0.993669 + 0.112347i \(0.0358369\pi\)
0.304044 + 0.952658i \(0.401663\pi\)
\(198\) 0.498935 + 0.921245i 0.0354578 + 0.0654700i
\(199\) −6.73463 + 10.0791i −0.477405 + 0.714488i −0.989515 0.144433i \(-0.953864\pi\)
0.512109 + 0.858920i \(0.328864\pi\)
\(200\) 9.67304 + 9.35964i 0.683987 + 0.661827i
\(201\) −2.27782 + 1.52199i −0.160665 + 0.107353i
\(202\) −4.91124 15.8760i −0.345554 1.11703i
\(203\) −1.38883 + 4.57835i −0.0974765 + 0.321337i
\(204\) −0.650931 0.338797i −0.0455743 0.0237205i
\(205\) −1.57987 1.92508i −0.110343 0.134453i
\(206\) −4.73612 11.2588i −0.329981 0.784440i
\(207\) −2.84293 6.86345i −0.197598 0.477043i
\(208\) 0.740365 9.69445i 0.0513351 0.672189i
\(209\) 1.83537 4.43098i 0.126955 0.306497i
\(210\) 1.71912 0.00943491i 0.118630 0.000651071i
\(211\) −11.3205 1.11497i −0.779333 0.0767576i −0.299475 0.954104i \(-0.596812\pi\)
−0.479857 + 0.877346i \(0.659312\pi\)
\(212\) 2.19164 + 19.9992i 0.150523 + 1.37355i
\(213\) −1.14187 + 0.610341i −0.0782395 + 0.0418199i
\(214\) 0.138934 + 0.167409i 0.00949732 + 0.0114439i
\(215\) 0.619120 3.11253i 0.0422236 0.212272i
\(216\) −1.83009 2.15657i −0.124522 0.146736i
\(217\) −19.1491 + 3.80900i −1.29993 + 0.258572i
\(218\) 0.340513 + 3.27303i 0.0230624 + 0.221678i
\(219\) 0.807906 0.0795718i 0.0545933 0.00537697i
\(220\) −0.397591 + 0.609413i −0.0268056 + 0.0410866i
\(221\) 0.853437 0.258887i 0.0574084 0.0174146i
\(222\) −9.66089 1.86661i −0.648396 0.125279i
\(223\) 14.3472 + 14.3472i 0.960760 + 0.960760i 0.999259 0.0384989i \(-0.0122576\pi\)
−0.0384989 + 0.999259i \(0.512258\pi\)
\(224\) 12.7845 5.71134i 0.854199 0.381605i
\(225\) −3.36499 + 3.36499i −0.224333 + 0.224333i
\(226\) 5.75647 3.89222i 0.382915 0.258906i
\(227\) 2.08908 + 6.88677i 0.138657 + 0.457091i 0.998576 0.0533389i \(-0.0169864\pi\)
−0.859919 + 0.510430i \(0.829486\pi\)
\(228\) −2.38648 + 12.7261i −0.158049 + 0.842809i
\(229\) −1.03919 10.5511i −0.0686715 0.697233i −0.966462 0.256810i \(-0.917328\pi\)
0.897790 0.440423i \(-0.145172\pi\)
\(230\) 3.25128 4.00634i 0.214383 0.264170i
\(231\) −0.357742 1.79849i −0.0235377 0.118332i
\(232\) 4.28255 + 3.39816i 0.281163 + 0.223100i
\(233\) 8.68924 + 1.72840i 0.569251 + 0.113231i 0.471320 0.881962i \(-0.343778\pi\)
0.0979307 + 0.995193i \(0.468778\pi\)
\(234\) 3.42273 + 0.318153i 0.223751 + 0.0207983i
\(235\) −0.612707 1.14629i −0.0399686 0.0747759i
\(236\) −22.0023 6.41146i −1.43223 0.417351i
\(237\) 0.875644 8.89056i 0.0568792 0.577504i
\(238\) 0.913174 + 0.903205i 0.0591923 + 0.0585461i
\(239\) 21.4321 + 8.87748i 1.38633 + 0.574236i 0.946166 0.323682i \(-0.104921\pi\)
0.440163 + 0.897918i \(0.354921\pi\)
\(240\) 0.711733 1.83095i 0.0459421 0.118188i
\(241\) 19.0558 7.89317i 1.22749 0.508444i 0.327708 0.944779i \(-0.393724\pi\)
0.899784 + 0.436335i \(0.143724\pi\)
\(242\) −13.6860 5.58111i −0.879767 0.358768i
\(243\) 0.773010 0.634393i 0.0495886 0.0406963i
\(244\) 0.0879433 1.00598i 0.00562999 0.0644016i
\(245\) 0.410299 + 0.124463i 0.0262130 + 0.00795163i
\(246\) 3.34580 6.34304i 0.213320 0.404418i
\(247\) −8.74252 13.0841i −0.556273 0.832522i
\(248\) −3.99161 + 21.9499i −0.253467 + 1.39382i
\(249\) 9.43138 + 6.30184i 0.597689 + 0.399363i
\(250\) −6.49663 1.93186i −0.410883 0.122181i
\(251\) 15.2723 18.6094i 0.963980 1.17461i −0.0206196 0.999787i \(-0.506564\pi\)
0.984599 0.174825i \(-0.0559361\pi\)
\(252\) 1.94457 + 4.55263i 0.122497 + 0.286789i
\(253\) −4.85366 2.59434i −0.305147 0.163104i
\(254\) 24.6784 5.04980i 1.54846 0.316853i
\(255\) 0.180192 0.0112841
\(256\) −0.702260 15.9846i −0.0438913 0.999036i
\(257\) 9.65253 0.602109 0.301054 0.953607i \(-0.402661\pi\)
0.301054 + 0.953607i \(0.402661\pi\)
\(258\) 8.95307 1.83201i 0.557394 0.114056i
\(259\) 15.1884 + 8.11838i 0.943763 + 0.504452i
\(260\) 0.937785 + 2.19554i 0.0581590 + 0.136161i
\(261\) −1.22620 + 1.49413i −0.0758997 + 0.0924841i
\(262\) −13.2660 3.94482i −0.819576 0.243712i
\(263\) 19.4975 + 13.0278i 1.20227 + 0.803331i 0.984962 0.172772i \(-0.0552723\pi\)
0.217308 + 0.976103i \(0.430272\pi\)
\(264\) −2.06154 0.374893i −0.126879 0.0230731i
\(265\) −2.74466 4.10767i −0.168603 0.252332i
\(266\) 10.5732 20.0449i 0.648285 1.22903i
\(267\) 9.70508 + 2.94400i 0.593941 + 0.180170i
\(268\) 0.477156 5.45820i 0.0291470 0.333413i
\(269\) 0.943970 0.774696i 0.0575549 0.0472341i −0.605176 0.796092i \(-0.706897\pi\)
0.662731 + 0.748858i \(0.269397\pi\)
\(270\) 0.643110 + 0.262259i 0.0391384 + 0.0159606i
\(271\) −27.3744 + 11.3388i −1.66288 + 0.688786i −0.998292 0.0584268i \(-0.981392\pi\)
−0.664585 + 0.747213i \(0.731392\pi\)
\(272\) 1.34327 0.591272i 0.0814478 0.0358511i
\(273\) −5.55857 2.30244i −0.336420 0.139350i
\(274\) 1.24989 + 1.23625i 0.0755087 + 0.0746844i
\(275\) −0.345552 + 3.50845i −0.0208376 + 0.211567i
\(276\) 14.2646 + 4.15670i 0.858628 + 0.250204i
\(277\) 3.31322 + 6.19860i 0.199072 + 0.372438i 0.961573 0.274550i \(-0.0885287\pi\)
−0.762501 + 0.646987i \(0.776029\pi\)
\(278\) 29.8651 + 2.77605i 1.79119 + 0.166496i
\(279\) −7.73618 1.53882i −0.463153 0.0921269i
\(280\) −2.13717 + 2.69338i −0.127721 + 0.160960i
\(281\) −4.82980 24.2811i −0.288122 1.44849i −0.805432 0.592688i \(-0.798067\pi\)
0.517310 0.855798i \(-0.326933\pi\)
\(282\) 2.35854 2.90627i 0.140449 0.173066i
\(283\) −1.93573 19.6538i −0.115067 1.16830i −0.863241 0.504793i \(-0.831569\pi\)
0.748174 0.663503i \(-0.230931\pi\)
\(284\) 0.477280 2.54514i 0.0283213 0.151026i
\(285\) −0.922935 3.04251i −0.0546699 0.180223i
\(286\) 2.10959 1.42639i 0.124743 0.0843442i
\(287\) −8.87553 + 8.87553i −0.523906 + 0.523906i
\(288\) 5.65472 0.155209i 0.333208 0.00914581i
\(289\) −11.9256 11.9256i −0.701507 0.701507i
\(290\) −1.31805 0.254665i −0.0773988 0.0149545i
\(291\) −1.38059 + 0.418797i −0.0809315 + 0.0245503i
\(292\) −0.887169 + 1.35982i −0.0519176 + 0.0795774i
\(293\) −0.296358 + 0.0291888i −0.0173134 + 0.00170522i −0.106670 0.994294i \(-0.534019\pi\)
0.0893567 + 0.996000i \(0.471519\pi\)
\(294\) 0.127762 + 1.22805i 0.00745121 + 0.0716215i
\(295\) 5.51931 1.09786i 0.321347 0.0639198i
\(296\) 15.0046 12.7331i 0.872123 0.740094i
\(297\) 0.144527 0.726585i 0.00838629 0.0421607i
\(298\) 19.4060 + 23.3834i 1.12416 + 1.35457i
\(299\) −15.9251 + 8.51215i −0.920973 + 0.492270i
\(300\) −1.03680 9.46099i −0.0598596 0.546231i
\(301\) −15.9180 1.56779i −0.917501 0.0903659i
\(302\) 7.04013 0.0386378i 0.405114 0.00222336i
\(303\) −4.49688 + 10.8564i −0.258339 + 0.623685i
\(304\) −16.8637 19.6524i −0.967198 1.12714i
\(305\) 0.0948919 + 0.229089i 0.00543350 + 0.0131176i
\(306\) 0.201199 + 0.478296i 0.0115018 + 0.0273423i
\(307\) 10.2266 + 12.4612i 0.583663 + 0.711196i 0.978195 0.207687i \(-0.0665934\pi\)
−0.394532 + 0.918882i \(0.629093\pi\)
\(308\) 3.25319 + 1.69322i 0.185368 + 0.0964802i
\(309\) −2.50716 + 8.26500i −0.142627 + 0.470179i
\(310\) −1.61900 5.23357i −0.0919532 0.297247i
\(311\) 7.75890 5.18433i 0.439967 0.293977i −0.315790 0.948829i \(-0.602269\pi\)
0.755757 + 0.654853i \(0.227269\pi\)
\(312\) −4.78064 + 4.94071i −0.270651 + 0.279713i
\(313\) −14.8489 + 22.2229i −0.839309 + 1.25611i 0.125218 + 0.992129i \(0.460037\pi\)
−0.964527 + 0.263985i \(0.914963\pi\)
\(314\) −4.11451 7.59713i −0.232195 0.428731i
\(315\) −0.939686 0.771180i −0.0529453 0.0434511i
\(316\) 12.7719 + 12.4946i 0.718475 + 0.702874i
\(317\) −0.598309 + 1.11936i −0.0336044 + 0.0628693i −0.898163 0.439663i \(-0.855098\pi\)
0.864559 + 0.502532i \(0.167598\pi\)
\(318\) 7.83863 11.8719i 0.439568 0.665741i
\(319\) 1.43191i 0.0801713i
\(320\) 1.96512 + 3.40208i 0.109853 + 0.190182i
\(321\) 0.153832i 0.00858605i
\(322\) −21.7017 14.3290i −1.20939 0.798522i
\(323\) 1.11975 2.09490i 0.0623043 0.116563i
\(324\) 0.0219523 + 1.99988i 0.00121957 + 0.111104i
\(325\) 8.94149 + 7.33809i 0.495985 + 0.407044i
\(326\) −9.28492 + 5.02860i −0.514244 + 0.278508i
\(327\) 1.29274 1.93472i 0.0714888 0.106990i
\(328\) 5.70615 + 13.1588i 0.315069 + 0.726574i
\(329\) −5.44703 + 3.63959i −0.300304 + 0.200657i
\(330\) 0.491538 0.152057i 0.0270583 0.00837048i
\(331\) −6.48114 + 21.3655i −0.356236 + 1.17435i 0.577500 + 0.816390i \(0.304028\pi\)
−0.933736 + 0.357962i \(0.883472\pi\)
\(332\) −21.6356 + 6.82330i −1.18741 + 0.374477i
\(333\) 4.41387 + 5.37831i 0.241878 + 0.294730i
\(334\) 6.50882 2.73799i 0.356147 0.149816i
\(335\) 0.514858 + 1.24298i 0.0281297 + 0.0679111i
\(336\) −9.53554 2.66546i −0.520206 0.145413i
\(337\) −6.97957 + 16.8502i −0.380201 + 0.917887i 0.611725 + 0.791071i \(0.290476\pi\)
−0.991926 + 0.126817i \(0.959524\pi\)
\(338\) 0.0550427 + 10.0292i 0.00299393 + 0.545519i
\(339\) −4.88991 0.481614i −0.265583 0.0261577i
\(340\) −0.225554 + 0.281074i −0.0122324 + 0.0152434i
\(341\) −5.15342 + 2.75456i −0.279073 + 0.149168i
\(342\) 7.04539 5.84701i 0.380971 0.316170i
\(343\) 3.80190 19.1135i 0.205283 1.03203i
\(344\) −8.34925 + 16.2587i −0.450161 + 0.876610i
\(345\) −3.57829 + 0.711767i −0.192649 + 0.0383202i
\(346\) −0.218203 + 0.0227009i −0.0117307 + 0.00122041i
\(347\) 30.7824 3.03180i 1.65248 0.162755i 0.771607 0.636100i \(-0.219453\pi\)
0.880877 + 0.473344i \(0.156953\pi\)
\(348\) −0.795737 3.78295i −0.0426560 0.202787i
\(349\) −29.5463 + 8.96279i −1.58158 + 0.479767i −0.954256 0.298992i \(-0.903350\pi\)
−0.627324 + 0.778759i \(0.715850\pi\)
\(350\) −3.16020 + 16.3560i −0.168920 + 0.874265i
\(351\) −1.71874 1.71874i −0.0917397 0.0917397i
\(352\) 3.16530 2.74644i 0.168711 0.146386i
\(353\) −1.61361 + 1.61361i −0.0858839 + 0.0858839i −0.748744 0.662860i \(-0.769343\pi\)
0.662860 + 0.748744i \(0.269343\pi\)
\(354\) 9.07686 + 13.4244i 0.482430 + 0.713499i
\(355\) 0.184580 + 0.608480i 0.00979651 + 0.0322948i
\(356\) −16.7405 + 11.4534i −0.887243 + 0.607028i
\(357\) −0.0890195 0.903830i −0.00471141 0.0478358i
\(358\) −26.5866 21.5760i −1.40515 1.14033i
\(359\) −1.19192 5.99220i −0.0629073 0.316256i 0.936500 0.350666i \(-0.114045\pi\)
−0.999408 + 0.0344099i \(0.989045\pi\)
\(360\) −1.21409 + 0.674877i −0.0639883 + 0.0355691i
\(361\) −22.4722 4.47001i −1.18275 0.235264i
\(362\) 2.43677 26.2151i 0.128074 1.37784i
\(363\) 4.92665 + 9.21712i 0.258582 + 0.483774i
\(364\) 10.5494 5.78851i 0.552936 0.303400i
\(365\) 0.0390782 0.396768i 0.00204545 0.0207678i
\(366\) −0.502132 + 0.507674i −0.0262469 + 0.0265365i
\(367\) −11.6008 4.80520i −0.605555 0.250829i 0.0587715 0.998271i \(-0.481282\pi\)
−0.664327 + 0.747442i \(0.731282\pi\)
\(368\) −24.3394 + 17.0476i −1.26878 + 0.888666i
\(369\) −4.68493 + 1.94056i −0.243887 + 0.101022i
\(370\) −1.82470 + 4.47451i −0.0948616 + 0.232619i
\(371\) −19.2478 + 15.7963i −0.999298 + 0.820102i
\(372\) 12.0840 10.1411i 0.626528 0.525792i
\(373\) −13.9131 4.22048i −0.720391 0.218528i −0.0912596 0.995827i \(-0.529089\pi\)
−0.629131 + 0.777299i \(0.716589\pi\)
\(374\) 0.340004 + 0.179344i 0.0175812 + 0.00927365i
\(375\) 2.66263 + 3.98491i 0.137498 + 0.205780i
\(376\) 1.58108 + 7.31688i 0.0815378 + 0.377340i
\(377\) 3.90637 + 2.61016i 0.201189 + 0.134430i
\(378\) 0.997758 3.35535i 0.0513192 0.172581i
\(379\) −18.5506 + 22.6040i −0.952880 + 1.16109i 0.0339662 + 0.999423i \(0.489186\pi\)
−0.986846 + 0.161664i \(0.948314\pi\)
\(380\) 5.90114 + 2.36879i 0.302722 + 0.121516i
\(381\) −15.7087 8.39646i −0.804780 0.430164i
\(382\) −0.214398 1.04776i −0.0109695 0.0536083i
\(383\) 22.5543 1.15247 0.576234 0.817284i \(-0.304522\pi\)
0.576234 + 0.817284i \(0.304522\pi\)
\(384\) −6.83615 + 9.01483i −0.348856 + 0.460036i
\(385\) −0.900554 −0.0458965
\(386\) −3.26870 15.9742i −0.166372 0.813064i
\(387\) −5.69893 3.04614i −0.289693 0.154844i
\(388\) 1.07488 2.67774i 0.0545686 0.135942i
\(389\) 1.17511 1.43188i 0.0595804 0.0725990i −0.742367 0.669993i \(-0.766297\pi\)
0.801948 + 0.597394i \(0.203797\pi\)
\(390\) 0.481176 1.61814i 0.0243653 0.0819378i
\(391\) −2.26639 1.51435i −0.114616 0.0765841i
\(392\) −2.07551 1.33792i −0.104829 0.0675749i
\(393\) 5.43705 + 8.13712i 0.274263 + 0.410463i
\(394\) 29.4738 + 15.5467i 1.48487 + 0.783233i
\(395\) −4.19841 1.27358i −0.211245 0.0640805i
\(396\) 0.952457 + 1.13494i 0.0478628 + 0.0570327i
\(397\) 9.65882 7.92679i 0.484762 0.397834i −0.360020 0.932945i \(-0.617230\pi\)
0.844782 + 0.535111i \(0.179730\pi\)
\(398\) −6.47337 + 15.8739i −0.324481 + 0.795689i
\(399\) −14.8050 + 6.13244i −0.741179 + 0.307006i
\(400\) 16.0556 + 10.2255i 0.802778 + 0.511273i
\(401\) −16.5526 6.85629i −0.826595 0.342387i −0.0710413 0.997473i \(-0.522632\pi\)
−0.755554 + 0.655086i \(0.772632\pi\)
\(402\) −2.72443 + 2.75450i −0.135882 + 0.137382i
\(403\) −1.87923 + 19.0802i −0.0936113 + 0.950451i
\(404\) −11.3055 20.6039i −0.562470 1.02508i
\(405\) −0.231506 0.433117i −0.0115036 0.0215217i
\(406\) −0.626230 + 6.73706i −0.0310793 + 0.334355i
\(407\) 5.05530 + 1.00556i 0.250582 + 0.0498439i
\(408\) −0.997920 0.284861i −0.0494044 0.0141027i
\(409\) −4.76127 23.9365i −0.235430 1.18358i −0.899841 0.436218i \(-0.856318\pi\)
0.664412 0.747367i \(-0.268682\pi\)
\(410\) −2.73469 2.21930i −0.135057 0.109603i
\(411\) −0.121844 1.23710i −0.00601011 0.0610217i
\(412\) −9.75388 14.2564i −0.480539 0.702364i
\(413\) −8.23345 27.1421i −0.405142 1.33557i
\(414\) −5.88474 8.70335i −0.289219 0.427746i
\(415\) 3.93903 3.93903i 0.193359 0.193359i
\(416\) −1.72267 13.6416i −0.0844608 0.668834i
\(417\) −14.9969 14.9969i −0.734402 0.734402i
\(418\) 1.28670 6.65949i 0.0629346 0.325726i
\(419\) −1.54642 + 0.469103i −0.0755478 + 0.0229172i −0.327832 0.944736i \(-0.606318\pi\)
0.252285 + 0.967653i \(0.418818\pi\)
\(420\) 2.37917 0.500455i 0.116092 0.0244197i
\(421\) −13.9875 + 1.37765i −0.681709 + 0.0671424i −0.432943 0.901421i \(-0.642525\pi\)
−0.248766 + 0.968564i \(0.580025\pi\)
\(422\) −16.0007 + 1.66464i −0.778900 + 0.0810335i
\(423\) −2.59576 + 0.516329i −0.126210 + 0.0251048i
\(424\) 8.70645 + 27.0876i 0.422823 + 1.31549i
\(425\) −0.340640 + 1.71251i −0.0165235 + 0.0830691i
\(426\) −1.40903 + 1.16936i −0.0682676 + 0.0566556i
\(427\) 1.10222 0.589146i 0.0533399 0.0285108i
\(428\) 0.239955 + 0.192558i 0.0115987 + 0.00930762i
\(429\) −1.79202 0.176498i −0.0865194 0.00852142i
\(430\) −0.0246309 4.48794i −0.00118781 0.216428i
\(431\) −1.96723 + 4.74932i −0.0947584 + 0.228767i −0.964151 0.265356i \(-0.914511\pi\)
0.869392 + 0.494123i \(0.164511\pi\)
\(432\) −3.14700 2.46909i −0.151410 0.118794i
\(433\) 9.80140 + 23.6627i 0.471025 + 1.13716i 0.963711 + 0.266948i \(0.0860152\pi\)
−0.492686 + 0.870207i \(0.663985\pi\)
\(434\) −25.4513 + 10.7063i −1.22170 + 0.513919i
\(435\) 0.602193 + 0.733774i 0.0288729 + 0.0351818i
\(436\) 1.39971 + 4.43826i 0.0670340 + 0.212554i
\(437\) −13.9612 + 46.0239i −0.667855 + 2.20162i
\(438\) 1.09680 0.339295i 0.0524071 0.0162121i
\(439\) −13.3181 + 8.89884i −0.635636 + 0.424719i −0.831201 0.555972i \(-0.812346\pi\)
0.195565 + 0.980691i \(0.437346\pi\)
\(440\) −0.378091 + 0.957064i −0.0180248 + 0.0456263i
\(441\) 0.485042 0.725916i 0.0230972 0.0345674i
\(442\) 1.10904 0.600646i 0.0527519 0.0285698i
\(443\) 12.8752 + 10.5664i 0.611718 + 0.502024i 0.888480 0.458915i \(-0.151762\pi\)
−0.276763 + 0.960938i \(0.589262\pi\)
\(444\) −13.9144 + 0.152735i −0.660348 + 0.00724850i
\(445\) 2.34788 4.39258i 0.111300 0.208228i
\(446\) 23.9457 + 15.8106i 1.13386 + 0.748653i
\(447\) 21.4869i 1.01630i
\(448\) 16.0937 11.5376i 0.760358 0.545100i
\(449\) 23.9091i 1.12834i −0.825659 0.564170i \(-0.809196\pi\)
0.825659 0.564170i \(-0.190804\pi\)
\(450\) −3.70821 + 5.61621i −0.174807 + 0.264751i
\(451\) −1.77087 + 3.31306i −0.0833870 + 0.156006i
\(452\) 6.87215 7.02469i 0.323239 0.330414i
\(453\) −3.84820 3.15813i −0.180804 0.148382i
\(454\) 4.84688 + 8.94938i 0.227475 + 0.420015i
\(455\) −1.64158 + 2.45680i −0.0769584 + 0.115176i
\(456\) 0.301471 + 18.3087i 0.0141177 + 0.857384i
\(457\) 27.0954 18.1046i 1.26747 0.846896i 0.274082 0.961706i \(-0.411626\pi\)
0.993387 + 0.114810i \(0.0366259\pi\)
\(458\) −4.43110 14.3239i −0.207052 0.669313i
\(459\) 0.106509 0.351112i 0.00497140 0.0163885i
\(460\) 3.36884 6.47256i 0.157073 0.301785i
\(461\) 14.9424 + 18.2074i 0.695937 + 0.848002i 0.994319 0.106445i \(-0.0339468\pi\)
−0.298382 + 0.954447i \(0.596447\pi\)
\(462\) −1.00554 2.39040i −0.0467820 0.111211i
\(463\) 9.70182 + 23.4223i 0.450882 + 1.08852i 0.971988 + 0.235032i \(0.0755196\pi\)
−0.521106 + 0.853492i \(0.674480\pi\)
\(464\) 6.89690 + 3.49404i 0.320181 + 0.162207i
\(465\) −1.48241 + 3.57885i −0.0687450 + 0.165965i
\(466\) 12.5290 0.0687620i 0.580394 0.00318534i
\(467\) −34.8104 3.42852i −1.61083 0.158653i −0.747843 0.663875i \(-0.768911\pi\)
−0.862989 + 0.505222i \(0.831411\pi\)
\(468\) 4.83241 0.529567i 0.223378 0.0244793i
\(469\) 5.98032 3.19655i 0.276146 0.147603i
\(470\) −1.17389 1.41449i −0.0541475 0.0652455i
\(471\) −1.19185 + 5.99185i −0.0549177 + 0.276090i
\(472\) −32.3020 2.64529i −1.48682 0.121760i
\(473\) −4.69516 + 0.933925i −0.215884 + 0.0429419i
\(474\) −1.30733 12.5662i −0.0600477 0.577183i
\(475\) 30.6602 3.01976i 1.40678 0.138556i
\(476\) 1.52127 + 0.992504i 0.0697274 + 0.0454913i
\(477\) −9.62630 + 2.92011i −0.440758 + 0.133702i
\(478\) 32.2111 + 6.22362i 1.47330 + 0.284662i
\(479\) 11.1129 + 11.1129i 0.507759 + 0.507759i 0.913838 0.406079i \(-0.133104\pi\)
−0.406079 + 0.913838i \(0.633104\pi\)
\(480\) 0.467019 2.73858i 0.0213164 0.124998i
\(481\) 11.9584 11.9584i 0.545254 0.545254i
\(482\) 24.1641 16.3385i 1.10065 0.744198i
\(483\) 5.33793 + 17.5968i 0.242884 + 0.800683i
\(484\) −20.5443 3.85259i −0.933830 0.175118i
\(485\) 0.0694474 + 0.705112i 0.00315345 + 0.0320175i
\(486\) 0.891154 1.09811i 0.0404236 0.0498112i
\(487\) −3.76330 18.9194i −0.170531 0.857318i −0.967417 0.253188i \(-0.918521\pi\)
0.796886 0.604130i \(-0.206479\pi\)
\(488\) −0.163358 1.41873i −0.00739488 0.0642228i
\(489\) 7.32301 + 1.45664i 0.331158 + 0.0658714i
\(490\) 0.603757 + 0.0561210i 0.0272749 + 0.00253529i
\(491\) −11.1184 20.8011i −0.501766 0.938739i −0.997527 0.0702798i \(-0.977611\pi\)
0.495761 0.868459i \(-0.334889\pi\)
\(492\) 2.83732 9.73688i 0.127916 0.438972i
\(493\) −0.0695128 + 0.705775i −0.00313070 + 0.0317865i
\(494\) −15.8222 15.6495i −0.711876 0.704105i
\(495\) −0.336127 0.139228i −0.0151078 0.00625784i
\(496\) 0.692573 + 31.5434i 0.0310975 + 1.41634i
\(497\) 2.96090 1.22644i 0.132814 0.0550136i
\(498\) 14.8538 + 6.05737i 0.665616 + 0.271437i
\(499\) 17.5280 14.3849i 0.784663 0.643956i −0.154281 0.988027i \(-0.549306\pi\)
0.938944 + 0.344071i \(0.111806\pi\)
\(500\) −9.54880 0.834757i −0.427036 0.0373315i
\(501\) −4.77806 1.44941i −0.213468 0.0647548i
\(502\) 15.8840 30.1132i 0.708936 1.34402i
\(503\) −2.72838 4.08331i −0.121653 0.182066i 0.765645 0.643263i \(-0.222420\pi\)
−0.887298 + 0.461197i \(0.847420\pi\)
\(504\) 3.98492 + 5.75639i 0.177503 + 0.256410i
\(505\) 4.79836 + 3.20616i 0.213524 + 0.142672i
\(506\) −7.46028 2.21842i −0.331650 0.0986206i
\(507\) 4.49902 5.48207i 0.199809 0.243467i
\(508\) 32.7604 13.9930i 1.45351 0.620841i
\(509\) −5.21574 2.78787i −0.231184 0.123570i 0.351738 0.936098i \(-0.385591\pi\)
−0.582922 + 0.812528i \(0.698091\pi\)
\(510\) 0.249657 0.0510858i 0.0110550 0.00226212i
\(511\) −2.00946 −0.0888933
\(512\) −5.50473 21.9476i −0.243277 0.969957i
\(513\) −6.47399 −0.285834
\(514\) 13.3736 2.73657i 0.589886 0.120705i
\(515\) 3.74079 + 1.99949i 0.164839 + 0.0881081i
\(516\) 11.8851 5.07652i 0.523214 0.223482i
\(517\) −1.24383 + 1.51561i −0.0547037 + 0.0666567i
\(518\) 23.3453 + 6.94202i 1.02573 + 0.305015i
\(519\) 0.128982 + 0.0861831i 0.00566169 + 0.00378302i
\(520\) 1.92176 + 2.77606i 0.0842746 + 0.121738i
\(521\) 19.6734 + 29.4434i 0.861909 + 1.28994i 0.955699 + 0.294345i \(0.0951016\pi\)
−0.0937906 + 0.995592i \(0.529898\pi\)
\(522\) −1.27531 + 2.41775i −0.0558186 + 0.105822i
\(523\) 2.74840 + 0.833718i 0.120179 + 0.0364560i 0.349801 0.936824i \(-0.386249\pi\)
−0.229622 + 0.973280i \(0.573749\pi\)
\(524\) −19.4985 1.70456i −0.851796 0.0744641i
\(525\) 9.10555 7.47273i 0.397399 0.326137i
\(526\) 30.7074 + 12.5224i 1.33891 + 0.546004i
\(527\) −2.67380 + 1.10752i −0.116473 + 0.0482445i
\(528\) −2.96257 + 0.0650467i −0.128929 + 0.00283080i
\(529\) 29.7389 + 12.3183i 1.29300 + 0.535577i
\(530\) −4.96729 4.91307i −0.215765 0.213410i
\(531\) 1.12315 11.4035i 0.0487406 0.494871i
\(532\) 8.96634 30.7699i 0.388740 1.33405i
\(533\) 5.81032 + 10.8703i 0.251673 + 0.470846i
\(534\) 14.2811 + 1.32747i 0.618003 + 0.0574452i
\(535\) −0.0740961 0.0147386i −0.00320345 0.000637206i
\(536\) −0.886338 7.69764i −0.0382840 0.332487i
\(537\) 4.72339 + 23.7461i 0.203829 + 1.02472i
\(538\) 1.08824 1.34097i 0.0469175 0.0578132i
\(539\) −0.0633949 0.643660i −0.00273061 0.0277244i
\(540\) 0.965384 + 0.181035i 0.0415435 + 0.00779049i
\(541\) −11.7557 38.7535i −0.505419 1.66614i −0.723588 0.690232i \(-0.757508\pi\)
0.218169 0.975911i \(-0.429992\pi\)
\(542\) −34.7127 + 23.4709i −1.49104 + 1.00816i
\(543\) −13.1641 + 13.1641i −0.564924 + 0.564924i
\(544\) 1.69348 1.20004i 0.0726073 0.0514512i
\(545\) −0.808040 0.808040i −0.0346126 0.0346126i
\(546\) −8.35419 1.61414i −0.357526 0.0690788i
\(547\) 27.6135 8.37647i 1.18067 0.358152i 0.361868 0.932229i \(-0.382139\pi\)
0.818801 + 0.574077i \(0.194639\pi\)
\(548\) 2.08221 + 1.35847i 0.0889478 + 0.0580310i
\(549\) 0.502479 0.0494899i 0.0214453 0.00211218i
\(550\) 0.515908 + 4.95894i 0.0219984 + 0.211450i
\(551\) 12.2729 2.44123i 0.522844 0.104000i
\(552\) 20.9421 + 1.71500i 0.891356 + 0.0729954i
\(553\) −4.31403 + 21.6881i −0.183451 + 0.922272i
\(554\) 6.34783 + 7.64886i 0.269693 + 0.324969i
\(555\) 3.01346 1.61073i 0.127914 0.0683716i
\(556\) 42.1652 4.62075i 1.78820 0.195963i
\(557\) −39.1922 3.86009i −1.66063 0.163557i −0.776280 0.630389i \(-0.782895\pi\)
−0.884346 + 0.466832i \(0.845395\pi\)
\(558\) −11.1548 + 0.0612200i −0.472220 + 0.00259165i
\(559\) −6.01076 + 14.5113i −0.254228 + 0.613761i
\(560\) −2.19747 + 4.33760i −0.0928600 + 0.183297i
\(561\) −0.104019 0.251124i −0.00439169 0.0106025i
\(562\) −13.5756 32.2722i −0.572651 1.36132i
\(563\) 24.3271 + 29.6426i 1.02526 + 1.24929i 0.968006 + 0.250929i \(0.0807359\pi\)
0.0572586 + 0.998359i \(0.481764\pi\)
\(564\) 2.44382 4.69532i 0.102904 0.197709i
\(565\) −0.700481 + 2.30918i −0.0294694 + 0.0971478i
\(566\) −8.25395 26.6816i −0.346939 1.12151i
\(567\) −2.05811 + 1.37518i −0.0864325 + 0.0577523i
\(568\) −0.0602921 3.66161i −0.00252980 0.153638i
\(569\) 16.7260 25.0322i 0.701188 1.04940i −0.294410 0.955679i \(-0.595123\pi\)
0.995598 0.0937233i \(-0.0298769\pi\)
\(570\) −2.14130 3.95375i −0.0896894 0.165604i
\(571\) −22.3838 18.3699i −0.936734 0.768758i 0.0363185 0.999340i \(-0.488437\pi\)
−0.973053 + 0.230582i \(0.925937\pi\)
\(572\) 2.51845 2.57435i 0.105302 0.107639i
\(573\) −0.356486 + 0.666938i −0.0148924 + 0.0278617i
\(574\) −9.78081 + 14.8134i −0.408243 + 0.618298i
\(575\) 35.3530i 1.47432i
\(576\) 7.79064 1.81820i 0.324610 0.0757583i
\(577\) 0.995066i 0.0414251i 0.999785 + 0.0207126i \(0.00659349\pi\)
−0.999785 + 0.0207126i \(0.993407\pi\)
\(578\) −19.9040 13.1420i −0.827898 0.546635i
\(579\) −5.43497 + 10.1681i −0.225869 + 0.422572i
\(580\) −1.89837 + 0.0208380i −0.0788255 + 0.000865251i
\(581\) −21.7038 17.8119i −0.900426 0.738961i
\(582\) −1.79408 + 0.971652i −0.0743669 + 0.0402763i
\(583\) −4.14024 + 6.19631i −0.171471 + 0.256625i
\(584\) −0.843658 + 2.13556i −0.0349108 + 0.0883699i
\(585\) −0.992538 + 0.663193i −0.0410364 + 0.0274197i
\(586\) −0.402331 + 0.124461i −0.0166201 + 0.00514144i
\(587\) −0.436117 + 1.43769i −0.0180005 + 0.0593397i −0.965481 0.260475i \(-0.916121\pi\)
0.947480 + 0.319815i \(0.103621\pi\)
\(588\) 0.525177 + 1.66525i 0.0216579 + 0.0686739i
\(589\) 32.3954 + 39.4739i 1.33483 + 1.62649i
\(590\) 7.33578 3.08586i 0.302009 0.127043i
\(591\) −9.01708 21.7692i −0.370913 0.895463i
\(592\) 17.1790 21.8956i 0.706052 0.899905i
\(593\) 18.0032 43.4635i 0.739302 1.78483i 0.130599 0.991435i \(-0.458310\pi\)
0.608703 0.793398i \(-0.291690\pi\)
\(594\) −0.00574981 1.04766i −0.000235917 0.0429861i
\(595\) −0.443876 0.0437180i −0.0181972 0.00179226i
\(596\) 33.5165 + 26.8961i 1.37289 + 1.10171i
\(597\) 10.6907 5.71428i 0.437540 0.233870i
\(598\) −19.6511 + 16.3085i −0.803592 + 0.666905i
\(599\) 8.43163 42.3886i 0.344507 1.73195i −0.288208 0.957568i \(-0.593059\pi\)
0.632715 0.774385i \(-0.281941\pi\)
\(600\) −4.11875 12.8143i −0.168147 0.523142i
\(601\) −15.9170 + 3.16609i −0.649268 + 0.129147i −0.508728 0.860928i \(-0.669884\pi\)
−0.140540 + 0.990075i \(0.544884\pi\)
\(602\) −22.4990 + 2.34070i −0.916991 + 0.0954000i
\(603\) 2.72632 0.268519i 0.111024 0.0109349i
\(604\) 9.74317 2.04946i 0.396444 0.0833914i
\(605\) 4.91163 1.48993i 0.199686 0.0605741i
\(606\) −3.15257 + 16.3165i −0.128064 + 0.662814i
\(607\) 6.88231 + 6.88231i 0.279344 + 0.279344i 0.832847 0.553503i \(-0.186709\pi\)
−0.553503 + 0.832847i \(0.686709\pi\)
\(608\) −28.9363 22.4475i −1.17352 0.910367i
\(609\) 3.38305 3.38305i 0.137088 0.137088i
\(610\) 0.196422 + 0.290502i 0.00795288 + 0.0117621i
\(611\) 1.86741 + 6.15604i 0.0755475 + 0.249047i
\(612\) 0.414362 + 0.605639i 0.0167496 + 0.0244815i
\(613\) −2.79093 28.3368i −0.112725 1.14451i −0.870559 0.492065i \(-0.836242\pi\)
0.757834 0.652447i \(-0.226258\pi\)
\(614\) 17.7018 + 14.3657i 0.714388 + 0.579751i
\(615\) 0.485845 + 2.44251i 0.0195912 + 0.0984915i
\(616\) 4.98735 + 1.42366i 0.200946 + 0.0573610i
\(617\) 32.9808 + 6.56030i 1.32776 + 0.264108i 0.807483 0.589891i \(-0.200829\pi\)
0.520276 + 0.853998i \(0.325829\pi\)
\(618\) −1.13049 + 12.1620i −0.0454751 + 0.489227i
\(619\) 10.2936 + 19.2580i 0.413735 + 0.774043i 0.999331 0.0365593i \(-0.0116398\pi\)
−0.585597 + 0.810603i \(0.699140\pi\)
\(620\) −3.72689 6.79213i −0.149676 0.272779i
\(621\) −0.728164 + 7.39317i −0.0292202 + 0.296678i
\(622\) 9.28020 9.38262i 0.372102 0.376209i
\(623\) −23.1927 9.60674i −0.929197 0.384886i
\(624\) −5.22287 + 8.20073i −0.209082 + 0.328292i
\(625\) −19.8083 + 8.20488i −0.792334 + 0.328195i
\(626\) −14.2728 + 34.9998i −0.570457 + 1.39887i
\(627\) −3.70740 + 3.04259i −0.148059 + 0.121509i
\(628\) −7.85452 9.35936i −0.313429 0.373479i
\(629\) 2.44290 + 0.741047i 0.0974050 + 0.0295475i
\(630\) −1.52057 0.802066i −0.0605811 0.0319551i
\(631\) −20.2363 30.2857i −0.805594 1.20566i −0.975457 0.220189i \(-0.929333\pi\)
0.169863 0.985468i \(-0.445667\pi\)
\(632\) 21.2378 + 13.6903i 0.844795 + 0.544572i
\(633\) 9.45816 + 6.31974i 0.375928 + 0.251187i
\(634\) −0.511613 + 1.72050i −0.0203188 + 0.0683297i
\(635\) −5.54937 + 6.76192i −0.220220 + 0.268339i
\(636\) 7.49469 18.6708i 0.297184 0.740347i
\(637\) −1.87152 1.00035i −0.0741525 0.0396353i
\(638\) 0.405956 + 1.98391i 0.0160719 + 0.0785438i
\(639\) 1.29475 0.0512195
\(640\) 3.68720 + 4.15647i 0.145749 + 0.164299i
\(641\) 14.5334 0.574033 0.287017 0.957926i \(-0.407336\pi\)
0.287017 + 0.957926i \(0.407336\pi\)
\(642\) −0.0436125 0.213135i −0.00172125 0.00841176i
\(643\) 22.2473 + 11.8914i 0.877348 + 0.468952i 0.847619 0.530606i \(-0.178035\pi\)
0.0297292 + 0.999558i \(0.490535\pi\)
\(644\) −34.1302 13.7002i −1.34492 0.539865i
\(645\) −2.01325 + 2.45315i −0.0792716 + 0.0965927i
\(646\) 0.957494 3.21995i 0.0376721 0.126687i
\(647\) 30.5640 + 20.4222i 1.20160 + 0.802880i 0.984860 0.173350i \(-0.0554593\pi\)
0.216735 + 0.976230i \(0.430459\pi\)
\(648\) 0.597396 + 2.76462i 0.0234679 + 0.108604i
\(649\) −4.71615 7.05821i −0.185125 0.277059i
\(650\) 14.4689 + 7.63198i 0.567516 + 0.299351i
\(651\) 18.6836 + 5.66760i 0.732267 + 0.222131i
\(652\) −11.4387 + 9.59949i −0.447972 + 0.375945i
\(653\) −8.82768 + 7.24469i −0.345454 + 0.283507i −0.791080 0.611712i \(-0.790481\pi\)
0.445626 + 0.895219i \(0.352981\pi\)
\(654\) 1.24259 3.04707i 0.0485891 0.119150i
\(655\) 4.44032 1.83924i 0.173498 0.0718652i
\(656\) 11.6365 + 16.6139i 0.454330 + 0.648662i
\(657\) −0.750020 0.310668i −0.0292611 0.0121203i
\(658\) −6.51503 + 6.58694i −0.253982 + 0.256786i
\(659\) 0.266457 2.70538i 0.0103797 0.105387i −0.988599 0.150573i \(-0.951888\pi\)
0.998979 + 0.0451863i \(0.0143881\pi\)
\(660\) 0.637919 0.350031i 0.0248310 0.0136249i
\(661\) 4.47772 + 8.37722i 0.174163 + 0.325836i 0.953824 0.300366i \(-0.0971087\pi\)
−0.779661 + 0.626202i \(0.784609\pi\)
\(662\) −2.92239 + 31.4394i −0.113582 + 1.22193i
\(663\) −0.874703 0.173989i −0.0339707 0.00675718i
\(664\) −28.0418 + 15.5876i −1.08823 + 0.604915i
\(665\) 1.53534 + 7.71868i 0.0595380 + 0.299318i
\(666\) 7.64023 + 6.20031i 0.296053 + 0.240257i
\(667\) −1.40744 14.2900i −0.0544964 0.553311i
\(668\) 8.24176 5.63879i 0.318883 0.218171i
\(669\) −5.88988 19.4163i −0.227716 0.750679i
\(670\) 1.06573 + 1.57618i 0.0411728 + 0.0608933i
\(671\) 0.264492 0.264492i 0.0102106 0.0102106i
\(672\) −13.9672 0.989606i −0.538797 0.0381749i
\(673\) 29.4051 + 29.4051i 1.13348 + 1.13348i 0.989594 + 0.143889i \(0.0459609\pi\)
0.143889 + 0.989594i \(0.454039\pi\)
\(674\) −4.89308 + 25.3247i −0.188474 + 0.975473i
\(675\) 4.55390 1.38141i 0.175280 0.0531705i
\(676\) 2.91963 + 13.8800i 0.112293 + 0.533844i
\(677\) 13.8641 1.36550i 0.532842 0.0524803i 0.171981 0.985100i \(-0.444983\pi\)
0.360860 + 0.932620i \(0.382483\pi\)
\(678\) −6.91153 + 0.719047i −0.265436 + 0.0276148i
\(679\) 3.50248 0.696686i 0.134413 0.0267363i
\(680\) −0.232820 + 0.453375i −0.00892823 + 0.0173861i
\(681\) 1.40400 7.05837i 0.0538013 0.270477i
\(682\) −6.35915 + 5.27749i −0.243504 + 0.202085i
\(683\) −9.89117 + 5.28694i −0.378475 + 0.202299i −0.649654 0.760230i \(-0.725086\pi\)
0.271179 + 0.962529i \(0.412586\pi\)
\(684\) 8.10375 10.0985i 0.309855 0.386125i
\(685\) −0.607548 0.0598382i −0.0232132 0.00228630i
\(686\) −0.151254 27.5596i −0.00577489 1.05223i
\(687\) −4.05725 + 9.79507i −0.154794 + 0.373705i
\(688\) −6.95847 + 24.8936i −0.265289 + 0.949058i
\(689\) 9.35707 + 22.5900i 0.356476 + 0.860609i
\(690\) −4.75595 + 2.00063i −0.181056 + 0.0761627i
\(691\) −16.0668 19.5774i −0.611208 0.744760i 0.371802 0.928312i \(-0.378740\pi\)
−0.983010 + 0.183553i \(0.941240\pi\)
\(692\) −0.295885 + 0.0933144i −0.0112479 + 0.00354728i
\(693\) −0.532303 + 1.75477i −0.0202205 + 0.0666581i
\(694\) 41.7896 12.9276i 1.58631 0.490725i
\(695\) −8.66041 + 5.78670i −0.328508 + 0.219502i
\(696\) −2.17499 5.01569i −0.0824428 0.190119i
\(697\) −1.03368 + 1.54702i −0.0391535 + 0.0585974i
\(698\) −38.3956 + 20.7946i −1.45329 + 0.787087i
\(699\) −6.84846 5.62039i −0.259033 0.212583i
\(700\) 0.258583 + 23.5573i 0.00977352 + 0.890381i
\(701\) −12.4828 + 23.3536i −0.471468 + 0.882054i 0.527994 + 0.849248i \(0.322944\pi\)
−0.999462 + 0.0328060i \(0.989556\pi\)
\(702\) −2.86860 1.89405i −0.108268 0.0714863i
\(703\) 45.0435i 1.69885i
\(704\) 3.60690 4.70259i 0.135940 0.177236i
\(705\) 1.29977i 0.0489521i
\(706\) −1.77820 + 2.69314i −0.0669233 + 0.101358i
\(707\) 13.7114 25.6521i 0.515668 0.964748i
\(708\) 16.3820 + 16.0262i 0.615672 + 0.602302i
\(709\) 27.1986 + 22.3213i 1.02147 + 0.838295i 0.986937 0.161108i \(-0.0515069\pi\)
0.0345291 + 0.999404i \(0.489007\pi\)
\(710\) 0.428245 + 0.790722i 0.0160718 + 0.0296753i
\(711\) −4.96323 + 7.42800i −0.186136 + 0.278572i
\(712\) −19.9469 + 20.6148i −0.747541 + 0.772571i
\(713\) 48.7221 32.5551i 1.82466 1.21920i
\(714\) −0.379580 1.22702i −0.0142054 0.0459202i
\(715\) −0.256707 + 0.846249i −0.00960029 + 0.0316479i
\(716\) −42.9529 22.3561i −1.60522 0.835488i
\(717\) −14.7166 17.9323i −0.549603 0.669693i
\(718\) −3.35025 7.96431i −0.125030 0.297225i
\(719\) −15.8309 38.2191i −0.590391 1.42533i −0.883125 0.469137i \(-0.844565\pi\)
0.292734 0.956194i \(-0.405435\pi\)
\(720\) −1.49080 + 1.27925i −0.0555588 + 0.0476748i
\(721\) 8.18125 19.7513i 0.304686 0.735576i
\(722\) −32.4027 + 0.177833i −1.20590 + 0.00661827i
\(723\) −20.5265 2.02169i −0.763390 0.0751873i
\(724\) −4.05602 37.0120i −0.150741 1.37554i
\(725\) −8.11205 + 4.33598i −0.301274 + 0.161034i
\(726\) 9.43903 + 11.3736i 0.350315 + 0.422115i
\(727\) 6.93358 34.8574i 0.257152 1.29279i −0.609064 0.793121i \(-0.708455\pi\)
0.866216 0.499670i \(-0.166545\pi\)
\(728\) 12.9751 11.0108i 0.480889 0.408088i
\(729\) −0.980785 + 0.195090i −0.0363254 + 0.00722557i
\(730\) −0.0583436 0.560802i −0.00215939 0.0207562i
\(731\) −2.35955 + 0.232395i −0.0872710 + 0.00859544i
\(732\) −0.551777 + 0.845743i −0.0203943 + 0.0312596i
\(733\) −15.0990 + 4.58023i −0.557694 + 0.169175i −0.556534 0.830825i \(-0.687869\pi\)
−0.00115966 + 0.999999i \(0.500369\pi\)
\(734\) −17.4352 3.36872i −0.643546 0.124342i
\(735\) −0.303180 0.303180i −0.0111830 0.0111830i
\(736\) −28.8893 + 30.5199i −1.06487 + 1.12498i
\(737\) 1.43506 1.43506i 0.0528611 0.0528611i
\(738\) −5.94082 + 4.01687i −0.218685 + 0.147863i
\(739\) 0.216045 + 0.712206i 0.00794735 + 0.0261989i 0.960824 0.277158i \(-0.0893926\pi\)
−0.952877 + 0.303357i \(0.901893\pi\)
\(740\) −1.25957 + 6.71678i −0.0463027 + 0.246914i
\(741\) 1.54241 + 15.6603i 0.0566618 + 0.575297i
\(742\) −22.1896 + 27.3427i −0.814606 + 1.00378i
\(743\) 3.16656 + 15.9194i 0.116170 + 0.584025i 0.994391 + 0.105770i \(0.0337306\pi\)
−0.878221 + 0.478255i \(0.841269\pi\)
\(744\) 13.8674 17.4765i 0.508404 0.640719i
\(745\) −10.3496 2.05866i −0.379180 0.0754236i
\(746\) −20.4732 1.90304i −0.749575 0.0696752i
\(747\) −5.34706 10.0037i −0.195639 0.366014i
\(748\) 0.521922 + 0.152088i 0.0190834 + 0.00556089i
\(749\) −0.0373225 + 0.378941i −0.00136373 + 0.0138462i
\(750\) 4.81884 + 4.76624i 0.175959 + 0.174038i
\(751\) 24.9381 + 10.3297i 0.910004 + 0.376936i 0.788058 0.615601i \(-0.211087\pi\)
0.121946 + 0.992537i \(0.461087\pi\)
\(752\) 4.26498 + 9.68933i 0.155528 + 0.353334i
\(753\) −22.2414 + 9.21268i −0.810521 + 0.335729i
\(754\) 6.15230 + 2.50890i 0.224054 + 0.0913687i
\(755\) −1.88987 + 1.55098i −0.0687795 + 0.0564459i
\(756\) 0.431132 4.93173i 0.0156801 0.179365i
\(757\) −23.1385 7.01899i −0.840984 0.255110i −0.159733 0.987160i \(-0.551063\pi\)
−0.681250 + 0.732051i \(0.738563\pi\)
\(758\) −19.2935 + 36.5771i −0.700773 + 1.32854i
\(759\) 3.05758 + 4.57600i 0.110983 + 0.166098i
\(760\) 8.84763 + 1.60895i 0.320937 + 0.0583627i
\(761\) 2.15070 + 1.43705i 0.0779628 + 0.0520931i 0.593941 0.804509i \(-0.297571\pi\)
−0.515978 + 0.856602i \(0.672571\pi\)
\(762\) −24.1449 7.17981i −0.874677 0.260097i
\(763\) −3.65387 + 4.45226i −0.132279 + 0.161182i
\(764\) −0.594098 1.39090i −0.0214937 0.0503210i
\(765\) −0.158915 0.0849420i −0.00574560 0.00307109i
\(766\) 31.2490 6.39430i 1.12907 0.231036i
\(767\) −27.8523 −1.00569
\(768\) −6.91574 + 14.4282i −0.249550 + 0.520632i
\(769\) 53.4795 1.92852 0.964261 0.264956i \(-0.0853573\pi\)
0.964261 + 0.264956i \(0.0853573\pi\)
\(770\) −1.24772 + 0.255314i −0.0449648 + 0.00920087i
\(771\) −8.51278 4.55017i −0.306580 0.163870i
\(772\) −9.05759 21.2056i −0.325990 0.763