Properties

Label 770.2.bd.a.527.12
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.12
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(0.00659019 + 0.00176584i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.60119 + 1.56083i) q^{5} -0.00682267i q^{6} +(-1.96250 - 1.77443i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.59804 - 1.49998i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(0.00659019 + 0.00176584i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.60119 + 1.56083i) q^{5} -0.00682267i q^{6} +(-1.96250 - 1.77443i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.59804 - 1.49998i) q^{9} +(1.92207 + 1.14266i) q^{10} +(3.29278 - 0.397013i) q^{11} +(-0.00659019 + 0.00176584i) q^{12} +(2.97033 + 2.97033i) q^{13} +(-1.20604 + 2.35488i) q^{14} +(-0.0133083 + 0.00745875i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.42759 + 0.382521i) q^{17} +(-0.776445 + 2.89773i) q^{18} +(-1.40344 + 2.43083i) q^{19} +(0.606253 - 2.15231i) q^{20} +(-0.00979987 - 0.0151593i) q^{21} +(-1.23572 - 3.07782i) q^{22} +(0.541825 + 2.02212i) q^{23} +(0.00341134 + 0.00590861i) q^{24} +(0.127603 - 4.99837i) q^{25} +(2.10034 - 3.63789i) q^{26} +(-0.0289459 - 0.0289459i) q^{27} +(2.58679 + 0.555455i) q^{28} +10.6335 q^{29} +(0.0106490 + 0.0109244i) q^{30} +(4.05104 + 7.01662i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(0.0224011 + 0.00319812i) q^{33} -1.47795i q^{34} +(5.91192 - 0.221930i) q^{35} +2.99995 q^{36} +(5.44607 - 1.45927i) q^{37} +(2.71124 + 0.726474i) q^{38} +(0.0143299 + 0.0248202i) q^{39} +(-2.23589 - 0.0285352i) q^{40} +2.30516i q^{41} +(-0.0121064 + 0.0133895i) q^{42} +(5.58459 + 5.58459i) q^{43} +(-2.65312 + 1.99021i) q^{44} +(6.50116 - 1.65336i) q^{45} +(1.81298 - 1.04672i) q^{46} +(-10.0906 + 2.70377i) q^{47} +(0.00482436 - 0.00482436i) q^{48} +(0.702783 + 6.96463i) q^{49} +(-4.86108 + 1.17042i) q^{50} +(0.00873261 + 0.00504178i) q^{51} +(-4.05754 - 1.08722i) q^{52} +(-6.71753 - 1.79996i) q^{53} +(-0.0204679 + 0.0354514i) q^{54} +(-4.65268 + 5.77517i) q^{55} +(-0.132982 - 2.64241i) q^{56} +(-0.0135414 + 0.0135414i) q^{57} +(-2.75216 - 10.2712i) q^{58} +(7.82626 - 4.51850i) q^{59} +(0.00779596 - 0.0131136i) q^{60} +(7.92908 + 4.57785i) q^{61} +(5.72904 - 5.72904i) q^{62} +(2.43703 + 7.55374i) q^{63} +1.00000i q^{64} +(-9.39224 - 0.119867i) q^{65} +(-0.00270869 - 0.0224655i) q^{66} +(-0.482205 + 1.79961i) q^{67} +(-1.42759 + 0.382521i) q^{68} +0.0142829i q^{69} +(-1.74448 - 5.65303i) q^{70} -7.36990 q^{71} +(-0.776445 - 2.89773i) q^{72} +(3.08095 - 11.4983i) q^{73} +(-2.81909 - 4.88281i) q^{74} +(0.00966724 - 0.0327149i) q^{75} -2.80688i q^{76} +(-7.16653 - 5.06367i) q^{77} +(0.0202656 - 0.0202656i) q^{78} +(2.93208 - 5.07850i) q^{79} +(0.551127 + 2.16709i) q^{80} +(4.49979 + 7.79387i) q^{81} +(2.22661 - 0.596619i) q^{82} +(-5.05490 - 5.05490i) q^{83} +(0.0160666 + 0.00822840i) q^{84} +(-2.88289 + 1.61574i) q^{85} +(3.94890 - 6.83970i) q^{86} +(0.0700769 + 0.0187771i) q^{87} +(2.60908 + 2.04761i) q^{88} +(14.8653 + 8.58249i) q^{89} +(-3.27964 - 5.85171i) q^{90} +(-0.558613 - 11.0999i) q^{91} +(-1.48029 - 1.48029i) q^{92} +(0.0143070 + 0.0533943i) q^{93} +(5.22328 + 9.04699i) q^{94} +(-1.54695 - 6.08275i) q^{95} +(-0.00590861 - 0.00341134i) q^{96} +(-3.34628 - 3.34628i) q^{97} +(6.54542 - 2.48142i) q^{98} +(-9.15026 - 3.90764i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) 0.00659019 + 0.00176584i 0.00380485 + 0.00101951i 0.260721 0.965414i \(-0.416040\pi\)
−0.256916 + 0.966434i \(0.582706\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −1.60119 + 1.56083i −0.716073 + 0.698026i
\(6\) 0.00682267i 0.00278534i
\(7\) −1.96250 1.77443i −0.741754 0.670672i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.59804 1.49998i −0.866012 0.499992i
\(10\) 1.92207 + 1.14266i 0.607811 + 0.361339i
\(11\) 3.29278 0.397013i 0.992810 0.119704i
\(12\) −0.00659019 + 0.00176584i −0.00190243 + 0.000509753i
\(13\) 2.97033 + 2.97033i 0.823821 + 0.823821i 0.986654 0.162833i \(-0.0520631\pi\)
−0.162833 + 0.986654i \(0.552063\pi\)
\(14\) −1.20604 + 2.35488i −0.322327 + 0.629369i
\(15\) −0.0133083 + 0.00745875i −0.00343619 + 0.00192584i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.42759 + 0.382521i 0.346241 + 0.0927750i 0.427749 0.903898i \(-0.359307\pi\)
−0.0815077 + 0.996673i \(0.525974\pi\)
\(18\) −0.776445 + 2.89773i −0.183010 + 0.683002i
\(19\) −1.40344 + 2.43083i −0.321971 + 0.557671i −0.980895 0.194539i \(-0.937679\pi\)
0.658923 + 0.752210i \(0.271012\pi\)
\(20\) 0.606253 2.15231i 0.135562 0.481272i
\(21\) −0.00979987 0.0151593i −0.00213851 0.00330803i
\(22\) −1.23572 3.07782i −0.263456 0.656194i
\(23\) 0.541825 + 2.02212i 0.112978 + 0.421641i 0.999128 0.0417590i \(-0.0132962\pi\)
−0.886149 + 0.463400i \(0.846629\pi\)
\(24\) 0.00341134 + 0.00590861i 0.000696336 + 0.00120609i
\(25\) 0.127603 4.99837i 0.0255206 0.999674i
\(26\) 2.10034 3.63789i 0.411910 0.713450i
\(27\) −0.0289459 0.0289459i −0.00557064 0.00557064i
\(28\) 2.58679 + 0.555455i 0.488857 + 0.104971i
\(29\) 10.6335 1.97459 0.987297 0.158885i \(-0.0507899\pi\)
0.987297 + 0.158885i \(0.0507899\pi\)
\(30\) 0.0106490 + 0.0109244i 0.00194424 + 0.00199451i
\(31\) 4.05104 + 7.01662i 0.727589 + 1.26022i 0.957899 + 0.287104i \(0.0926926\pi\)
−0.230310 + 0.973117i \(0.573974\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) 0.0224011 + 0.00319812i 0.00389953 + 0.000556721i
\(34\) 1.47795i 0.253466i
\(35\) 5.91192 0.221930i 0.999296 0.0375130i
\(36\) 2.99995 0.499992
\(37\) 5.44607 1.45927i 0.895329 0.239903i 0.218320 0.975877i \(-0.429942\pi\)
0.677009 + 0.735975i \(0.263276\pi\)
\(38\) 2.71124 + 0.726474i 0.439821 + 0.117850i
\(39\) 0.0143299 + 0.0248202i 0.00229462 + 0.00397441i
\(40\) −2.23589 0.0285352i −0.353525 0.00451181i
\(41\) 2.30516i 0.360006i 0.983666 + 0.180003i \(0.0576107\pi\)
−0.983666 + 0.180003i \(0.942389\pi\)
\(42\) −0.0121064 + 0.0133895i −0.00186805 + 0.00206604i
\(43\) 5.58459 + 5.58459i 0.851642 + 0.851642i 0.990335 0.138694i \(-0.0442903\pi\)
−0.138694 + 0.990335i \(0.544290\pi\)
\(44\) −2.65312 + 1.99021i −0.399973 + 0.300036i
\(45\) 6.50116 1.65336i 0.969135 0.246468i
\(46\) 1.81298 1.04672i 0.267309 0.154331i
\(47\) −10.0906 + 2.70377i −1.47187 + 0.394385i −0.903571 0.428439i \(-0.859064\pi\)
−0.568296 + 0.822824i \(0.692397\pi\)
\(48\) 0.00482436 0.00482436i 0.000696336 0.000696336i
\(49\) 0.702783 + 6.96463i 0.100398 + 0.994947i
\(50\) −4.86108 + 1.17042i −0.687461 + 0.165522i
\(51\) 0.00873261 + 0.00504178i 0.00122281 + 0.000705990i
\(52\) −4.05754 1.08722i −0.562680 0.150770i
\(53\) −6.71753 1.79996i −0.922723 0.247243i −0.233974 0.972243i \(-0.575173\pi\)
−0.688749 + 0.725000i \(0.741840\pi\)
\(54\) −0.0204679 + 0.0354514i −0.00278532 + 0.00482432i
\(55\) −4.65268 + 5.77517i −0.627368 + 0.778723i
\(56\) −0.132982 2.64241i −0.0177704 0.353107i
\(57\) −0.0135414 + 0.0135414i −0.00179360 + 0.00179360i
\(58\) −2.75216 10.2712i −0.361376 1.34867i
\(59\) 7.82626 4.51850i 1.01889 0.588258i 0.105110 0.994461i \(-0.466481\pi\)
0.913783 + 0.406203i \(0.133147\pi\)
\(60\) 0.00779596 0.0131136i 0.00100645 0.00169296i
\(61\) 7.92908 + 4.57785i 1.01521 + 0.586134i 0.912714 0.408599i \(-0.133982\pi\)
0.102500 + 0.994733i \(0.467316\pi\)
\(62\) 5.72904 5.72904i 0.727589 0.727589i
\(63\) 2.43703 + 7.55374i 0.307037 + 0.951681i
\(64\) 1.00000i 0.125000i
\(65\) −9.39224 0.119867i −1.16496 0.0148677i
\(66\) −0.00270869 0.0224655i −0.000333416 0.00276532i
\(67\) −0.482205 + 1.79961i −0.0589107 + 0.219858i −0.989105 0.147209i \(-0.952971\pi\)
0.930195 + 0.367066i \(0.119638\pi\)
\(68\) −1.42759 + 0.382521i −0.173120 + 0.0463875i
\(69\) 0.0142829i 0.00171946i
\(70\) −1.74448 5.65303i −0.208506 0.675667i
\(71\) −7.36990 −0.874646 −0.437323 0.899305i \(-0.644073\pi\)
−0.437323 + 0.899305i \(0.644073\pi\)
\(72\) −0.776445 2.89773i −0.0915049 0.341501i
\(73\) 3.08095 11.4983i 0.360598 1.34577i −0.512694 0.858572i \(-0.671352\pi\)
0.873292 0.487198i \(-0.161981\pi\)
\(74\) −2.81909 4.88281i −0.327713 0.567616i
\(75\) 0.00966724 0.0327149i 0.00111628 0.00377759i
\(76\) 2.80688i 0.321971i
\(77\) −7.16653 5.06367i −0.816702 0.577059i
\(78\) 0.0202656 0.0202656i 0.00229462 0.00229462i
\(79\) 2.93208 5.07850i 0.329884 0.571376i −0.652604 0.757699i \(-0.726324\pi\)
0.982489 + 0.186323i \(0.0596569\pi\)
\(80\) 0.551127 + 2.16709i 0.0616179 + 0.242288i
\(81\) 4.49979 + 7.79387i 0.499977 + 0.865985i
\(82\) 2.22661 0.596619i 0.245888 0.0658856i
\(83\) −5.05490 5.05490i −0.554848 0.554848i 0.372988 0.927836i \(-0.378333\pi\)
−0.927836 + 0.372988i \(0.878333\pi\)
\(84\) 0.0160666 + 0.00822840i 0.00175301 + 0.000897792i
\(85\) −2.88289 + 1.61574i −0.312693 + 0.175251i
\(86\) 3.94890 6.83970i 0.425821 0.737543i
\(87\) 0.0700769 + 0.0187771i 0.00751304 + 0.00201311i
\(88\) 2.60908 + 2.04761i 0.278128 + 0.218276i
\(89\) 14.8653 + 8.58249i 1.57572 + 0.909742i 0.995447 + 0.0953198i \(0.0303874\pi\)
0.580273 + 0.814422i \(0.302946\pi\)
\(90\) −3.27964 5.85171i −0.345705 0.616825i
\(91\) −0.558613 11.0999i −0.0585585 1.16359i
\(92\) −1.48029 1.48029i −0.154331 0.154331i
\(93\) 0.0143070 + 0.0533943i 0.00148356 + 0.00553674i
\(94\) 5.22328 + 9.04699i 0.538740 + 0.933126i
\(95\) −1.54695 6.08275i −0.158713 0.624077i
\(96\) −0.00590861 0.00341134i −0.000603045 0.000348168i
\(97\) −3.34628 3.34628i −0.339764 0.339764i 0.516515 0.856278i \(-0.327229\pi\)
−0.856278 + 0.516515i \(0.827229\pi\)
\(98\) 6.54542 2.48142i 0.661188 0.250661i
\(99\) −9.15026 3.90764i −0.919636 0.392732i
\(100\) 2.38868 + 4.39252i 0.238868 + 0.439252i
\(101\) −4.44480 + 2.56621i −0.442274 + 0.255347i −0.704562 0.709643i \(-0.748856\pi\)
0.262288 + 0.964990i \(0.415523\pi\)
\(102\) 0.00260981 0.00973996i 0.000258410 0.000964400i
\(103\) 2.16231 + 8.06984i 0.213058 + 0.795145i 0.986841 + 0.161694i \(0.0516957\pi\)
−0.773783 + 0.633451i \(0.781638\pi\)
\(104\) 4.20068i 0.411910i
\(105\) 0.0393526 + 0.00897692i 0.00384042 + 0.000876058i
\(106\) 6.95449i 0.675480i
\(107\) −2.10932 7.87209i −0.203916 0.761024i −0.989777 0.142621i \(-0.954447\pi\)
0.785862 0.618402i \(-0.212220\pi\)
\(108\) 0.0395409 + 0.0105949i 0.00380482 + 0.00101950i
\(109\) −4.32671 7.49408i −0.414423 0.717802i 0.580944 0.813943i \(-0.302683\pi\)
−0.995368 + 0.0961409i \(0.969350\pi\)
\(110\) 6.78258 + 2.99942i 0.646694 + 0.285984i
\(111\) 0.0384675 0.00365117
\(112\) −2.51795 + 0.812356i −0.237924 + 0.0767604i
\(113\) −11.9840 + 11.9840i −1.12736 + 1.12736i −0.136757 + 0.990605i \(0.543668\pi\)
−0.990605 + 0.136757i \(0.956332\pi\)
\(114\) 0.0165847 + 0.00957521i 0.00155330 + 0.000896801i
\(115\) −4.02375 2.39209i −0.375217 0.223064i
\(116\) −9.20889 + 5.31676i −0.855024 + 0.493649i
\(117\) −3.26160 12.1724i −0.301535 1.12534i
\(118\) −6.39012 6.39012i −0.588258 0.588258i
\(119\) −2.12288 3.28385i −0.194604 0.301030i
\(120\) −0.0146845 0.00413626i −0.00134051 0.000377587i
\(121\) 10.6848 2.61455i 0.971342 0.237686i
\(122\) 2.36967 8.84374i 0.214540 0.800674i
\(123\) −0.00407054 + 0.0151915i −0.000367028 + 0.00136977i
\(124\) −7.01662 4.05104i −0.630111 0.363795i
\(125\) 7.59731 + 8.20250i 0.679524 + 0.733654i
\(126\) 6.66560 4.30904i 0.593819 0.383880i
\(127\) 1.41919 1.41919i 0.125933 0.125933i −0.641331 0.767264i \(-0.721618\pi\)
0.767264 + 0.641331i \(0.221618\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) 0.0269420 + 0.0466650i 0.00237211 + 0.00410862i
\(130\) 2.31511 + 9.10323i 0.203048 + 0.798406i
\(131\) −2.95245 1.70460i −0.257957 0.148931i 0.365445 0.930833i \(-0.380917\pi\)
−0.623402 + 0.781901i \(0.714250\pi\)
\(132\) −0.0209990 + 0.00843090i −0.00182773 + 0.000733816i
\(133\) 7.06759 2.28018i 0.612838 0.197717i
\(134\) 1.86310 0.160947
\(135\) 0.0915276 + 0.00116811i 0.00787744 + 0.000100535i
\(136\) 0.738974 + 1.27994i 0.0633665 + 0.109754i
\(137\) −1.12980 + 4.21648i −0.0965255 + 0.360238i −0.997246 0.0741604i \(-0.976372\pi\)
0.900721 + 0.434398i \(0.143039\pi\)
\(138\) 0.0137962 0.00369669i 0.00117441 0.000314683i
\(139\) −9.64889 −0.818408 −0.409204 0.912443i \(-0.634194\pi\)
−0.409204 + 0.912443i \(0.634194\pi\)
\(140\) −5.00890 + 3.14815i −0.423330 + 0.266068i
\(141\) −0.0712735 −0.00600231
\(142\) 1.90747 + 7.11877i 0.160071 + 0.597394i
\(143\) 10.9599 + 8.60137i 0.916512 + 0.719283i
\(144\) −2.59804 + 1.49998i −0.216503 + 0.124998i
\(145\) −17.0263 + 16.5971i −1.41395 + 1.37832i
\(146\) −11.9039 −0.985172
\(147\) −0.00766693 + 0.0471393i −0.000632358 + 0.00388798i
\(148\) −3.98680 + 3.98680i −0.327713 + 0.327713i
\(149\) −9.94665 + 17.2281i −0.814861 + 1.41138i 0.0945661 + 0.995519i \(0.469854\pi\)
−0.909427 + 0.415863i \(0.863480\pi\)
\(150\) −0.0341022 0.000870592i −0.00278444 7.10835e-5i
\(151\) 18.0919 10.4453i 1.47230 0.850030i 0.472781 0.881180i \(-0.343250\pi\)
0.999515 + 0.0311496i \(0.00991683\pi\)
\(152\) −2.71124 + 0.726474i −0.219910 + 0.0589248i
\(153\) −3.13515 3.13515i −0.253462 0.253462i
\(154\) −3.03630 + 8.23292i −0.244672 + 0.663427i
\(155\) −17.4382 4.91191i −1.40067 0.394534i
\(156\) −0.0248202 0.0143299i −0.00198720 0.00114731i
\(157\) −4.94775 + 18.4653i −0.394874 + 1.47369i 0.427122 + 0.904194i \(0.359528\pi\)
−0.821995 + 0.569494i \(0.807139\pi\)
\(158\) −5.66433 1.51775i −0.450630 0.120746i
\(159\) −0.0410914 0.0237241i −0.00325876 0.00188144i
\(160\) 1.95060 1.09323i 0.154209 0.0864275i
\(161\) 2.52478 4.92983i 0.198981 0.388525i
\(162\) 6.36366 6.36366i 0.499977 0.499977i
\(163\) −4.08693 15.2526i −0.320113 1.19468i −0.919134 0.393945i \(-0.871110\pi\)
0.599021 0.800733i \(-0.295557\pi\)
\(164\) −1.15258 1.99633i −0.0900014 0.155887i
\(165\) −0.0408601 + 0.0298436i −0.00318095 + 0.00232332i
\(166\) −3.57436 + 6.19097i −0.277424 + 0.480512i
\(167\) −8.56049 + 8.56049i −0.662431 + 0.662431i −0.955952 0.293522i \(-0.905173\pi\)
0.293522 + 0.955952i \(0.405173\pi\)
\(168\) 0.00378969 0.0176488i 0.000292381 0.00136163i
\(169\) 4.64570i 0.357361i
\(170\) 2.30683 + 2.36647i 0.176926 + 0.181500i
\(171\) 7.29238 4.21025i 0.557662 0.321966i
\(172\) −7.62869 2.04410i −0.581682 0.155861i
\(173\) 17.8308 4.77775i 1.35565 0.363246i 0.493434 0.869783i \(-0.335741\pi\)
0.862218 + 0.506538i \(0.169075\pi\)
\(174\) 0.0725490i 0.00549992i
\(175\) −9.11969 + 9.58286i −0.689384 + 0.724396i
\(176\) 1.30257 3.05014i 0.0981846 0.229913i
\(177\) 0.0595555 0.0159579i 0.00447647 0.00119947i
\(178\) 4.44262 16.5801i 0.332989 1.24273i
\(179\) −13.0168 + 7.51528i −0.972924 + 0.561718i −0.900127 0.435628i \(-0.856526\pi\)
−0.0727979 + 0.997347i \(0.523193\pi\)
\(180\) −4.80349 + 4.68243i −0.358031 + 0.349007i
\(181\) 20.8768 1.55176 0.775881 0.630879i \(-0.217306\pi\)
0.775881 + 0.630879i \(0.217306\pi\)
\(182\) −10.5771 + 3.41244i −0.784027 + 0.252947i
\(183\) 0.0441704 + 0.0441704i 0.00326517 + 0.00326517i
\(184\) −1.04672 + 1.81298i −0.0771656 + 0.133655i
\(185\) −6.44250 + 10.8370i −0.473662 + 0.796750i
\(186\) 0.0478721 0.0276389i 0.00351015 0.00202659i
\(187\) 4.85259 + 0.692786i 0.354857 + 0.0506615i
\(188\) 7.38684 7.38684i 0.538740 0.538740i
\(189\) 0.00544369 + 0.108169i 0.000395970 + 0.00786812i
\(190\) −5.47510 + 3.06857i −0.397206 + 0.222617i
\(191\) −4.84645 + 8.39429i −0.350676 + 0.607389i −0.986368 0.164554i \(-0.947382\pi\)
0.635692 + 0.771943i \(0.280715\pi\)
\(192\) −0.00176584 + 0.00659019i −0.000127438 + 0.000475606i
\(193\) 1.84033 6.86821i 0.132470 0.494384i −0.867526 0.497393i \(-0.834291\pi\)
0.999995 + 0.00300819i \(0.000957537\pi\)
\(194\) −2.36618 + 4.09834i −0.169882 + 0.294244i
\(195\) −0.0616850 0.0173751i −0.00441735 0.00124426i
\(196\) −4.09094 5.68016i −0.292210 0.405725i
\(197\) 5.60165 5.60165i 0.399101 0.399101i −0.478815 0.877916i \(-0.658933\pi\)
0.877916 + 0.478815i \(0.158933\pi\)
\(198\) −1.40622 + 9.84985i −0.0999360 + 0.699998i
\(199\) 13.5690 7.83407i 0.961881 0.555342i 0.0651297 0.997877i \(-0.479254\pi\)
0.896751 + 0.442534i \(0.145921\pi\)
\(200\) 3.62461 3.44415i 0.256299 0.243538i
\(201\) −0.00635564 + 0.0110083i −0.000448292 + 0.000776465i
\(202\) 3.62916 + 3.62916i 0.255347 + 0.255347i
\(203\) −20.8682 18.8684i −1.46466 1.32431i
\(204\) −0.0100836 −0.000705990
\(205\) −3.59797 3.69099i −0.251293 0.257790i
\(206\) 7.23522 4.17726i 0.504102 0.291043i
\(207\) 1.62545 6.06626i 0.112977 0.421634i
\(208\) 4.05754 1.08722i 0.281340 0.0753848i
\(209\) −3.65614 + 8.56136i −0.252901 + 0.592202i
\(210\) −0.00151415 0.0403351i −0.000104487 0.00278338i
\(211\) 22.7525i 1.56635i 0.621803 + 0.783174i \(0.286401\pi\)
−0.621803 + 0.783174i \(0.713599\pi\)
\(212\) 6.71753 1.79996i 0.461362 0.123621i
\(213\) −0.0485691 0.0130140i −0.00332790 0.000891707i
\(214\) −7.05792 + 4.07489i −0.482470 + 0.278554i
\(215\) −17.6586 0.225365i −1.20431 0.0153698i
\(216\) 0.0409357i 0.00278532i
\(217\) 4.50035 20.9584i 0.305503 1.42275i
\(218\) −6.11889 + 6.11889i −0.414423 + 0.414423i
\(219\) 0.0406081 0.0703353i 0.00274404 0.00475282i
\(220\) 1.14176 7.32778i 0.0769773 0.494039i
\(221\) 3.10419 + 5.37662i 0.208811 + 0.361670i
\(222\) −0.00995612 0.0371568i −0.000668211 0.00249380i
\(223\) 0.164394 0.164394i 0.0110086 0.0110086i −0.701581 0.712590i \(-0.747522\pi\)
0.712590 + 0.701581i \(0.247522\pi\)
\(224\) 1.43637 + 2.22190i 0.0959714 + 0.148457i
\(225\) −7.82896 + 12.7945i −0.521931 + 0.852970i
\(226\) 14.6774 + 8.47398i 0.976324 + 0.563681i
\(227\) −7.06816 1.89391i −0.469130 0.125703i 0.0165067 0.999864i \(-0.494746\pi\)
−0.485637 + 0.874161i \(0.661412\pi\)
\(228\) 0.00495649 0.0184979i 0.000328252 0.00122505i
\(229\) 23.7722 + 13.7249i 1.57091 + 0.906966i 0.996058 + 0.0887092i \(0.0282742\pi\)
0.574853 + 0.818257i \(0.305059\pi\)
\(230\) −1.26916 + 4.50576i −0.0836859 + 0.297101i
\(231\) −0.0382872 0.0460255i −0.00251911 0.00302826i
\(232\) 7.51903 + 7.51903i 0.493649 + 0.493649i
\(233\) 3.66194 0.981214i 0.239902 0.0642815i −0.136865 0.990590i \(-0.543703\pi\)
0.376767 + 0.926308i \(0.377036\pi\)
\(234\) −10.9135 + 6.30092i −0.713439 + 0.411904i
\(235\) 11.9368 20.0790i 0.778672 1.30981i
\(236\) −4.51850 + 7.82626i −0.294129 + 0.509446i
\(237\) 0.0282908 0.0282908i 0.00183768 0.00183768i
\(238\) −2.62252 + 2.90047i −0.169993 + 0.188009i
\(239\) −8.67669 −0.561248 −0.280624 0.959818i \(-0.590541\pi\)
−0.280624 + 0.959818i \(0.590541\pi\)
\(240\) −0.000194686 0.0152547i −1.25669e−5 0.000984688i
\(241\) −5.44998 + 3.14654i −0.351064 + 0.202687i −0.665154 0.746706i \(-0.731634\pi\)
0.314090 + 0.949393i \(0.398301\pi\)
\(242\) −5.29088 9.64399i −0.340111 0.619939i
\(243\) 0.0476766 + 0.177932i 0.00305846 + 0.0114143i
\(244\) −9.15571 −0.586134
\(245\) −11.9959 10.0548i −0.766391 0.642375i
\(246\) 0.0157274 0.00100274
\(247\) −11.3890 + 3.05168i −0.724667 + 0.194174i
\(248\) −2.09698 + 7.82602i −0.133158 + 0.496953i
\(249\) −0.0243867 0.0422389i −0.00154544 0.00267678i
\(250\) 5.95668 9.46140i 0.376733 0.598391i
\(251\) 8.90327 0.561969 0.280985 0.959712i \(-0.409339\pi\)
0.280985 + 0.959712i \(0.409339\pi\)
\(252\) −5.88740 5.32321i −0.370871 0.335331i
\(253\) 2.58691 + 6.44327i 0.162638 + 0.405085i
\(254\) −1.73815 1.00352i −0.109061 0.0629664i
\(255\) −0.0218519 + 0.00555732i −0.00136842 + 0.000348013i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −21.5226 + 5.76695i −1.34254 + 0.359733i −0.857376 0.514690i \(-0.827907\pi\)
−0.485164 + 0.874423i \(0.661240\pi\)
\(258\) 0.0381018 0.0381018i 0.00237211 0.00237211i
\(259\) −13.2773 6.79987i −0.825009 0.422523i
\(260\) 8.19385 4.59231i 0.508161 0.284803i
\(261\) −27.6263 15.9500i −1.71002 0.987282i
\(262\) −0.882364 + 3.29303i −0.0545126 + 0.203444i
\(263\) 5.88556 21.9652i 0.362919 1.35443i −0.507301 0.861769i \(-0.669357\pi\)
0.870220 0.492663i \(-0.163976\pi\)
\(264\) 0.0135786 + 0.0181014i 0.000835703 + 0.00111406i
\(265\) 13.5654 7.60287i 0.833319 0.467040i
\(266\) −4.03172 6.23661i −0.247200 0.382391i
\(267\) 0.0828100 + 0.0828100i 0.00506789 + 0.00506789i
\(268\) −0.482205 1.79961i −0.0294553 0.109929i
\(269\) −14.2081 + 8.20307i −0.866286 + 0.500150i −0.866112 0.499850i \(-0.833389\pi\)
−0.000173516 1.00000i \(0.500055\pi\)
\(270\) −0.0225608 0.0887112i −0.00137300 0.00539879i
\(271\) 12.0854 + 6.97749i 0.734133 + 0.423852i 0.819932 0.572460i \(-0.194011\pi\)
−0.0857989 + 0.996312i \(0.527344\pi\)
\(272\) 1.04507 1.04507i 0.0633665 0.0633665i
\(273\) 0.0159193 0.0741369i 0.000963477 0.00448697i
\(274\) 4.36522 0.263713
\(275\) −1.56425 16.5092i −0.0943278 0.995541i
\(276\) −0.00714146 0.0123694i −0.000429865 0.000744549i
\(277\) 22.7427 + 6.09390i 1.36648 + 0.366147i 0.866191 0.499713i \(-0.166561\pi\)
0.500287 + 0.865860i \(0.333228\pi\)
\(278\) 2.49732 + 9.32011i 0.149779 + 0.558983i
\(279\) 24.3059i 1.45516i
\(280\) 4.33728 + 4.02343i 0.259202 + 0.240446i
\(281\) 1.94356i 0.115943i 0.998318 + 0.0579715i \(0.0184632\pi\)
−0.998318 + 0.0579715i \(0.981537\pi\)
\(282\) 0.0184469 + 0.0688449i 0.00109850 + 0.00409965i
\(283\) −6.02558 + 22.4878i −0.358184 + 1.33676i 0.518247 + 0.855231i \(0.326585\pi\)
−0.876430 + 0.481528i \(0.840082\pi\)
\(284\) 6.38252 3.68495i 0.378733 0.218661i
\(285\) 0.000546461 0.0428182i 3.23695e−5 0.00253633i
\(286\) 5.47166 12.8126i 0.323546 0.757627i
\(287\) 4.09035 4.52387i 0.241446 0.267036i
\(288\) 2.12129 + 2.12129i 0.124998 + 0.124998i
\(289\) −12.8307 7.40784i −0.754750 0.435755i
\(290\) 20.4383 + 12.1504i 1.20018 + 0.713498i
\(291\) −0.0161437 0.0279616i −0.000946358 0.00163914i
\(292\) 3.08095 + 11.4983i 0.180299 + 0.672885i
\(293\) 8.65402 + 8.65402i 0.505573 + 0.505573i 0.913164 0.407591i \(-0.133631\pi\)
−0.407591 + 0.913164i \(0.633631\pi\)
\(294\) 0.0475174 0.00479485i 0.00277127 0.000279642i
\(295\) −5.47870 + 19.4504i −0.318982 + 1.13245i
\(296\) 4.88281 + 2.81909i 0.283808 + 0.163857i
\(297\) −0.106804 0.0838205i −0.00619742 0.00486376i
\(298\) 19.2155 + 5.14877i 1.11312 + 0.298260i
\(299\) −4.39695 + 7.61575i −0.254282 + 0.440430i
\(300\) 0.00798538 + 0.0331656i 0.000461036 + 0.00191481i
\(301\) −1.05026 20.8692i −0.0605361 1.20288i
\(302\) −14.7720 14.7720i −0.850030 0.850030i
\(303\) −0.0338236 + 0.00906300i −0.00194311 + 0.000520656i
\(304\) 1.40344 + 2.43083i 0.0804928 + 0.139418i
\(305\) −19.8412 + 5.04596i −1.13610 + 0.288931i
\(306\) −2.21689 + 3.83976i −0.126731 + 0.219505i
\(307\) 3.59001 3.59001i 0.204893 0.204893i −0.597200 0.802092i \(-0.703720\pi\)
0.802092 + 0.597200i \(0.203720\pi\)
\(308\) 8.73824 + 0.802002i 0.497907 + 0.0456983i
\(309\) 0.0570001i 0.00324262i
\(310\) −0.231195 + 18.1153i −0.0131310 + 1.02888i
\(311\) −3.38054 5.85527i −0.191693 0.332022i 0.754119 0.656738i \(-0.228064\pi\)
−0.945811 + 0.324717i \(0.894731\pi\)
\(312\) −0.00741771 + 0.0276833i −0.000419945 + 0.00156726i
\(313\) −7.25761 27.0858i −0.410224 1.53098i −0.794212 0.607640i \(-0.792116\pi\)
0.383988 0.923338i \(-0.374550\pi\)
\(314\) 19.1166 1.07881
\(315\) −15.6923 8.29115i −0.884159 0.467154i
\(316\) 5.86415i 0.329884i
\(317\) 4.26952 1.14402i 0.239800 0.0642543i −0.136917 0.990583i \(-0.543719\pi\)
0.376718 + 0.926328i \(0.377053\pi\)
\(318\) −0.0122805 + 0.0458315i −0.000688656 + 0.00257010i
\(319\) 35.0138 4.22164i 1.96040 0.236367i
\(320\) −1.56083 1.60119i −0.0872532 0.0895091i
\(321\) 0.0556033i 0.00310347i
\(322\) −5.41531 1.16282i −0.301783 0.0648013i
\(323\) −2.93338 + 2.93338i −0.163217 + 0.163217i
\(324\) −7.79387 4.49979i −0.432993 0.249988i
\(325\) 15.2258 14.4678i 0.844577 0.802528i
\(326\) −13.6751 + 7.89535i −0.757396 + 0.437283i
\(327\) −0.0152805 0.0570277i −0.000845015 0.00315364i
\(328\) −1.62999 + 1.62999i −0.0900014 + 0.0900014i
\(329\) 24.6004 + 12.5990i 1.35627 + 0.694603i
\(330\) 0.0394021 + 0.0317437i 0.00216901 + 0.00174743i
\(331\) −4.90249 + 8.49136i −0.269465 + 0.466728i −0.968724 0.248141i \(-0.920180\pi\)
0.699259 + 0.714869i \(0.253514\pi\)
\(332\) 6.90513 + 1.85022i 0.378968 + 0.101544i
\(333\) −16.3380 4.37774i −0.895315 0.239899i
\(334\) 10.4844 + 6.05318i 0.573682 + 0.331215i
\(335\) −2.03679 3.63416i −0.111282 0.198555i
\(336\) −0.0180283 0.000907289i −0.000983523 4.94967e-5i
\(337\) −0.178490 + 0.178490i −0.00972298 + 0.00972298i −0.711952 0.702229i \(-0.752188\pi\)
0.702229 + 0.711952i \(0.252188\pi\)
\(338\) 4.48740 1.20239i 0.244082 0.0654017i
\(339\) −0.100139 + 0.0578152i −0.00543879 + 0.00314009i
\(340\) 1.68878 2.84071i 0.0915872 0.154059i
\(341\) 16.1249 + 21.4958i 0.873211 + 1.16406i
\(342\) −5.95420 5.95420i −0.321966 0.321966i
\(343\) 10.9791 14.9151i 0.592813 0.805340i
\(344\) 7.89780i 0.425821i
\(345\) −0.0222932 0.0228696i −0.00120023 0.00123126i
\(346\) −9.22991 15.9867i −0.496203 0.859449i
\(347\) −0.130836 0.0350573i −0.00702362 0.00188197i 0.255306 0.966860i \(-0.417824\pi\)
−0.262329 + 0.964978i \(0.584491\pi\)
\(348\) −0.0700769 + 0.0187771i −0.00375652 + 0.00100656i
\(349\) 16.1087 0.862278 0.431139 0.902285i \(-0.358112\pi\)
0.431139 + 0.902285i \(0.358112\pi\)
\(350\) 11.6167 + 6.32872i 0.620938 + 0.338284i
\(351\) 0.171958i 0.00917842i
\(352\) −3.28333 0.468748i −0.175002 0.0249844i
\(353\) 13.5832 + 3.63960i 0.722960 + 0.193717i 0.601492 0.798879i \(-0.294573\pi\)
0.121468 + 0.992595i \(0.461240\pi\)
\(354\) −0.0308282 0.0533960i −0.00163850 0.00283797i
\(355\) 11.8006 11.5032i 0.626310 0.610525i
\(356\) −17.1650 −0.909742
\(357\) −0.00819143 0.0253899i −0.000433536 0.00134378i
\(358\) 10.6282 + 10.6282i 0.561718 + 0.561718i
\(359\) 5.61826 9.73111i 0.296520 0.513588i −0.678817 0.734307i \(-0.737507\pi\)
0.975337 + 0.220719i \(0.0708404\pi\)
\(360\) 5.76611 + 3.42791i 0.303901 + 0.180667i
\(361\) 5.56071 + 9.63144i 0.292669 + 0.506918i
\(362\) −5.40332 20.1655i −0.283992 1.05987i
\(363\) 0.0750315 + 0.00163716i 0.00393813 + 8.59287e-5i
\(364\) 6.03372 + 9.33349i 0.316253 + 0.489208i
\(365\) 13.0137 + 23.2197i 0.681167 + 1.21538i
\(366\) 0.0312332 0.0540975i 0.00163259 0.00282772i
\(367\) 1.97745 7.37996i 0.103222 0.385231i −0.894915 0.446236i \(-0.852764\pi\)
0.998137 + 0.0610055i \(0.0194307\pi\)
\(368\) 2.02212 + 0.541825i 0.105410 + 0.0282446i
\(369\) 3.45769 5.98889i 0.180000 0.311769i
\(370\) 12.1352 + 3.41817i 0.630877 + 0.177702i
\(371\) 9.98922 + 15.4522i 0.518614 + 0.802238i
\(372\) −0.0390874 0.0390874i −0.00202659 0.00202659i
\(373\) −17.0724 + 4.57455i −0.883978 + 0.236861i −0.672123 0.740440i \(-0.734617\pi\)
−0.211855 + 0.977301i \(0.567951\pi\)
\(374\) −0.586764 4.86655i −0.0303409 0.251643i
\(375\) 0.0355834 + 0.0674716i 0.00183752 + 0.00348422i
\(376\) −9.04699 5.22328i −0.466563 0.269370i
\(377\) 31.5850 + 31.5850i 1.62671 + 1.62671i
\(378\) 0.103074 0.0332544i 0.00530156 0.00171042i
\(379\) 13.0024i 0.667886i −0.942593 0.333943i \(-0.891621\pi\)
0.942593 0.333943i \(-0.108379\pi\)
\(380\) 4.38107 + 4.49434i 0.224744 + 0.230555i
\(381\) 0.0118588 0.00684668i 0.000607545 0.000350766i
\(382\) 9.36261 + 2.50870i 0.479033 + 0.128356i
\(383\) −3.54099 13.2151i −0.180936 0.675262i −0.995464 0.0951382i \(-0.969671\pi\)
0.814528 0.580124i \(-0.196996\pi\)
\(384\) 0.00682267 0.000348168
\(385\) 19.3785 3.07787i 0.987620 0.156863i
\(386\) −7.11049 −0.361914
\(387\) −6.13221 22.8857i −0.311718 1.16335i
\(388\) 4.57111 + 1.22482i 0.232063 + 0.0621810i
\(389\) 18.1394 10.4728i 0.919706 0.530993i 0.0361649 0.999346i \(-0.488486\pi\)
0.883541 + 0.468353i \(0.155153\pi\)
\(390\) −0.000817814 0.0640801i −4.14116e−5 0.00324482i
\(391\) 3.09401i 0.156471i
\(392\) −4.42780 + 5.42168i −0.223637 + 0.273836i
\(393\) −0.0164472 0.0164472i −0.000829650 0.000829650i
\(394\) −6.86059 3.96096i −0.345632 0.199551i
\(395\) 3.23189 + 12.7081i 0.162614 + 0.639415i
\(396\) 9.87818 1.19102i 0.496397 0.0598510i
\(397\) 2.55183 0.683761i 0.128073 0.0343170i −0.194213 0.980959i \(-0.562215\pi\)
0.322286 + 0.946642i \(0.395549\pi\)
\(398\) −11.0790 11.0790i −0.555342 0.555342i
\(399\) 0.0506032 0.00254665i 0.00253333 0.000127492i
\(400\) −4.26492 2.60969i −0.213246 0.130485i
\(401\) 7.16663 12.4130i 0.357884 0.619874i −0.629723 0.776820i \(-0.716831\pi\)
0.987607 + 0.156946i \(0.0501648\pi\)
\(402\) 0.0122782 + 0.00328992i 0.000612379 + 0.000164086i
\(403\) −8.80872 + 32.8746i −0.438793 + 1.63760i
\(404\) 2.56621 4.44480i 0.127673 0.221137i
\(405\) −19.3699 5.45602i −0.962499 0.271112i
\(406\) −12.8244 + 25.0407i −0.636466 + 1.24275i
\(407\) 17.3534 6.96721i 0.860174 0.345352i
\(408\) 0.00260981 + 0.00973996i 0.000129205 + 0.000482200i
\(409\) −7.47005 12.9385i −0.369370 0.639768i 0.620097 0.784525i \(-0.287093\pi\)
−0.989467 + 0.144757i \(0.953760\pi\)
\(410\) −2.63400 + 4.43067i −0.130084 + 0.218815i
\(411\) −0.0148912 + 0.0257924i −0.000734530 + 0.00127224i
\(412\) −5.90753 5.90753i −0.291043 0.291043i
\(413\) −23.3768 5.01964i −1.15030 0.247000i
\(414\) −6.28025 −0.308658
\(415\) 15.9837 + 0.203990i 0.784609 + 0.0100135i
\(416\) −2.10034 3.63789i −0.102978 0.178362i
\(417\) −0.0635880 0.0170384i −0.00311392 0.000834372i
\(418\) 9.21592 + 1.31572i 0.450765 + 0.0643540i
\(419\) 34.8851i 1.70425i −0.523338 0.852125i \(-0.675313\pi\)
0.523338 0.852125i \(-0.324687\pi\)
\(420\) −0.0385688 + 0.0119020i −0.00188196 + 0.000580760i
\(421\) −6.15419 −0.299937 −0.149968 0.988691i \(-0.547917\pi\)
−0.149968 + 0.988691i \(0.547917\pi\)
\(422\) 21.9772 5.88879i 1.06984 0.286662i
\(423\) 30.2714 + 8.11118i 1.47184 + 0.394379i
\(424\) −3.47725 6.02277i −0.168870 0.292491i
\(425\) 2.09415 7.08680i 0.101581 0.343760i
\(426\) 0.0502824i 0.00243619i
\(427\) −7.43769 23.0536i −0.359935 1.11564i
\(428\) 5.76277 + 5.76277i 0.278554 + 0.278554i
\(429\) 0.0570392 + 0.0760381i 0.00275388 + 0.00367115i
\(430\) 4.35269 + 17.1152i 0.209905 + 0.825369i
\(431\) −27.4360 + 15.8402i −1.32155 + 0.762994i −0.983975 0.178306i \(-0.942938\pi\)
−0.337570 + 0.941300i \(0.609605\pi\)
\(432\) −0.0395409 + 0.0105949i −0.00190241 + 0.000509749i
\(433\) −4.20694 + 4.20694i −0.202173 + 0.202173i −0.800930 0.598758i \(-0.795661\pi\)
0.598758 + 0.800930i \(0.295661\pi\)
\(434\) −21.4090 + 1.07743i −1.02767 + 0.0517182i
\(435\) −0.141514 + 0.0793128i −0.00678508 + 0.00380276i
\(436\) 7.49408 + 4.32671i 0.358901 + 0.207212i
\(437\) −5.67584 1.52084i −0.271512 0.0727515i
\(438\) −0.0784488 0.0210203i −0.00374843 0.00100439i
\(439\) 4.47112 7.74422i 0.213395 0.369611i −0.739380 0.673289i \(-0.764881\pi\)
0.952775 + 0.303677i \(0.0982145\pi\)
\(440\) −7.37360 + 0.793715i −0.351523 + 0.0378389i
\(441\) 8.62093 19.1485i 0.410521 0.911834i
\(442\) 4.38999 4.38999i 0.208811 0.208811i
\(443\) −8.25789 30.8189i −0.392344 1.46425i −0.826257 0.563294i \(-0.809534\pi\)
0.433912 0.900955i \(-0.357133\pi\)
\(444\) −0.0333138 + 0.0192338i −0.00158100 + 0.000912793i
\(445\) −37.1980 + 9.46008i −1.76335 + 0.448451i
\(446\) −0.201340 0.116244i −0.00953373 0.00550430i
\(447\) −0.0959724 + 0.0959724i −0.00453934 + 0.00453934i
\(448\) 1.77443 1.96250i 0.0838340 0.0927192i
\(449\) 11.3718i 0.536669i −0.963326 0.268335i \(-0.913527\pi\)
0.963326 0.268335i \(-0.0864733\pi\)
\(450\) 14.3849 + 4.25072i 0.678109 + 0.200381i
\(451\) 0.915178 + 7.59038i 0.0430941 + 0.357417i
\(452\) 4.38645 16.3705i 0.206321 0.770002i
\(453\) 0.137674 0.0368896i 0.00646848 0.00173322i
\(454\) 7.31749i 0.343427i
\(455\) 18.2195 + 16.9011i 0.854145 + 0.792337i
\(456\) −0.0191504 −0.000896801
\(457\) 0.638437 + 2.38268i 0.0298648 + 0.111457i 0.979249 0.202659i \(-0.0649584\pi\)
−0.949384 + 0.314116i \(0.898292\pi\)
\(458\) 7.10452 26.5144i 0.331973 1.23894i
\(459\) −0.0302504 0.0523953i −0.00141197 0.00244560i
\(460\) 4.68071 + 0.0597370i 0.218239 + 0.00278525i
\(461\) 28.8909i 1.34558i −0.739832 0.672792i \(-0.765095\pi\)
0.739832 0.672792i \(-0.234905\pi\)
\(462\) −0.0345478 + 0.0488949i −0.00160731 + 0.00227480i
\(463\) 12.4379 12.4379i 0.578039 0.578039i −0.356324 0.934363i \(-0.615970\pi\)
0.934363 + 0.356324i \(0.115970\pi\)
\(464\) 5.31676 9.20889i 0.246824 0.427512i
\(465\) −0.106248 0.0631636i −0.00492712 0.00292914i
\(466\) −1.89556 3.28321i −0.0878102 0.152092i
\(467\) −19.7990 + 5.30512i −0.916188 + 0.245492i −0.685955 0.727644i \(-0.740615\pi\)
−0.230233 + 0.973136i \(0.573949\pi\)
\(468\) 8.91085 + 8.91085i 0.411904 + 0.411904i
\(469\) 4.13961 2.67609i 0.191150 0.123570i
\(470\) −22.4843 6.33326i −1.03712 0.292131i
\(471\) −0.0652133 + 0.112953i −0.00300487 + 0.00520459i
\(472\) 8.72906 + 2.33895i 0.401788 + 0.107659i
\(473\) 20.6060 + 16.1717i 0.947463 + 0.743573i
\(474\) −0.0346490 0.0200046i −0.00159148 0.000918841i
\(475\) 11.9711 + 7.32510i 0.549272 + 0.336098i
\(476\) 3.48039 + 1.78246i 0.159524 + 0.0816990i
\(477\) 14.7525 + 14.7525i 0.675470 + 0.675470i
\(478\) 2.24569 + 8.38104i 0.102716 + 0.383340i
\(479\) −4.23373 7.33304i −0.193444 0.335055i 0.752945 0.658083i \(-0.228632\pi\)
−0.946389 + 0.323028i \(0.895299\pi\)
\(480\) 0.0147853 0.00376016i 0.000674854 0.000171627i
\(481\) 20.5111 + 11.8421i 0.935227 + 0.539954i
\(482\) 4.44989 + 4.44989i 0.202687 + 0.202687i
\(483\) 0.0253441 0.0280302i 0.00115319 0.00127542i
\(484\) −7.94600 + 7.60665i −0.361182 + 0.345757i
\(485\) 10.5810 + 0.135039i 0.480459 + 0.00613179i
\(486\) 0.159529 0.0921041i 0.00723639 0.00417793i
\(487\) −6.09808 + 22.7584i −0.276331 + 1.03128i 0.678614 + 0.734495i \(0.262581\pi\)
−0.954944 + 0.296785i \(0.904086\pi\)
\(488\) 2.36967 + 8.84374i 0.107270 + 0.400337i
\(489\) 0.107735i 0.00487193i
\(490\) −6.60738 + 14.1895i −0.298491 + 0.641017i
\(491\) 14.8951i 0.672208i −0.941825 0.336104i \(-0.890891\pi\)
0.941825 0.336104i \(-0.109109\pi\)
\(492\) −0.00407054 0.0151915i −0.000183514 0.000684884i
\(493\) 15.1803 + 4.06754i 0.683685 + 0.183193i
\(494\) 5.89540 + 10.2111i 0.265247 + 0.459421i
\(495\) 20.7505 8.02517i 0.932663 0.360705i
\(496\) 8.10209 0.363795
\(497\) 14.4634 + 13.0774i 0.648772 + 0.586601i
\(498\) −0.0344879 + 0.0344879i −0.00154544 + 0.00154544i
\(499\) −22.0026 12.7032i −0.984972 0.568674i −0.0812047 0.996697i \(-0.525877\pi\)
−0.903768 + 0.428023i \(0.859210\pi\)
\(500\) −10.6807 3.30492i −0.477656 0.147800i
\(501\) −0.0715317 + 0.0412989i −0.00319580 + 0.00184510i
\(502\) −2.30434 8.59990i −0.102848 0.383832i
\(503\) −4.20904 4.20904i −0.187672 0.187672i 0.607017 0.794689i \(-0.292366\pi\)
−0.794689 + 0.607017i \(0.792366\pi\)
\(504\) −3.61806 + 7.06454i −0.161161 + 0.314680i
\(505\) 3.11154 11.0466i 0.138462 0.491566i
\(506\) 5.55418 4.16641i 0.246913 0.185219i
\(507\) −0.00820354 + 0.0306160i −0.000364332 + 0.00135971i
\(508\) −0.519460 + 1.93865i −0.0230473 + 0.0860137i
\(509\) 3.72279 + 2.14935i 0.165010 + 0.0952684i 0.580231 0.814452i \(-0.302962\pi\)
−0.415221 + 0.909721i \(0.636296\pi\)
\(510\) 0.0110236 + 0.0196690i 0.000488135 + 0.000870958i
\(511\) −26.4492 + 17.0984i −1.17005 + 0.756387i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 0.110986 0.0297387i 0.00490017 0.00131300i
\(514\) 11.1409 + 19.2966i 0.491404 + 0.851137i
\(515\) −16.0579 9.54633i −0.707597 0.420661i
\(516\) −0.0466650 0.0269420i −0.00205431 0.00118606i
\(517\) −32.1527 + 12.9090i −1.41407 + 0.567738i
\(518\) −3.13176 + 14.5848i −0.137602 + 0.640819i
\(519\) 0.125945 0.00552838
\(520\) −6.55656 6.72607i −0.287524 0.294958i
\(521\) −2.28078 3.95042i −0.0999226 0.173071i 0.811730 0.584033i \(-0.198526\pi\)
−0.911652 + 0.410962i \(0.865193\pi\)
\(522\) −8.25634 + 30.8131i −0.361370 + 1.34865i
\(523\) 10.3473 2.77256i 0.452457 0.121235i −0.0253919 0.999678i \(-0.508083\pi\)
0.477849 + 0.878442i \(0.341417\pi\)
\(524\) 3.40919 0.148931
\(525\) −0.0770223 + 0.0470490i −0.00336153 + 0.00205339i
\(526\) −22.7400 −0.991513
\(527\) 3.09922 + 11.5664i 0.135004 + 0.503842i
\(528\) 0.0139702 0.0178009i 0.000607975 0.000774683i
\(529\) 16.1232 9.30873i 0.701009 0.404728i
\(530\) −10.8548 11.1354i −0.471502 0.483693i
\(531\) −27.1105 −1.17650
\(532\) −4.98062 + 5.50849i −0.215937 + 0.238823i
\(533\) −6.84708 + 6.84708i −0.296580 + 0.296580i
\(534\) 0.0585555 0.101421i 0.00253394 0.00438892i
\(535\) 15.6644 + 9.31239i 0.677232 + 0.402610i
\(536\) −1.61349 + 0.931548i −0.0696921 + 0.0402367i
\(537\) −0.0990543 + 0.0265415i −0.00427451 + 0.00114535i
\(538\) 11.6009 + 11.6009i 0.500150 + 0.500150i
\(539\) 5.07915 + 22.6540i 0.218775 + 0.975775i
\(540\) −0.0798493 + 0.0447522i −0.00343616 + 0.00192583i
\(541\) −12.8665 7.42850i −0.553176 0.319376i 0.197226 0.980358i \(-0.436807\pi\)
−0.750402 + 0.660982i \(0.770140\pi\)
\(542\) 3.61181 13.4795i 0.155141 0.578993i
\(543\) 0.137582 + 0.0368651i 0.00590422 + 0.00158203i
\(544\) −1.27994 0.738974i −0.0548770 0.0316832i
\(545\) 18.6249 + 5.24616i 0.797802 + 0.224721i
\(546\) −0.0757310 + 0.00381123i −0.00324099 + 0.000163106i
\(547\) −25.9425 + 25.9425i −1.10922 + 1.10922i −0.115968 + 0.993253i \(0.536997\pi\)
−0.993253 + 0.115968i \(0.963003\pi\)
\(548\) −1.12980 4.21648i −0.0482627 0.180119i
\(549\) −13.7334 23.7869i −0.586125 1.01520i
\(550\) −15.5418 + 5.78384i −0.662704 + 0.246624i
\(551\) −14.9235 + 25.8483i −0.635763 + 1.10117i
\(552\) −0.0100995 + 0.0100995i −0.000429865 + 0.000429865i
\(553\) −14.7656 + 4.76378i −0.627899 + 0.202576i
\(554\) 23.5450i 1.00033i
\(555\) −0.0615937 + 0.0600413i −0.00261451 + 0.00254861i
\(556\) 8.35618 4.82444i 0.354381 0.204602i
\(557\) 34.8347 + 9.33393i 1.47599 + 0.395491i 0.904982 0.425451i \(-0.139884\pi\)
0.571012 + 0.820942i \(0.306551\pi\)
\(558\) −23.4777 + 6.29083i −0.993890 + 0.266312i
\(559\) 33.1761i 1.40320i
\(560\) 2.76376 5.23083i 0.116790 0.221043i
\(561\) 0.0307562 + 0.0131345i 0.00129853 + 0.000554538i
\(562\) 1.87733 0.503030i 0.0791905 0.0212190i
\(563\) 1.39245 5.19670i 0.0586848 0.219015i −0.930356 0.366658i \(-0.880502\pi\)
0.989041 + 0.147643i \(0.0471687\pi\)
\(564\) 0.0617246 0.0356367i 0.00259908 0.00150058i
\(565\) 0.483613 37.8937i 0.0203458 1.59420i
\(566\) 23.2811 0.978576
\(567\) 4.99886 23.2800i 0.209932 0.977668i
\(568\) −5.21130 5.21130i −0.218661 0.218661i
\(569\) 0.113200 0.196068i 0.00474559 0.00821961i −0.863643 0.504104i \(-0.831823\pi\)
0.868388 + 0.495885i \(0.165156\pi\)
\(570\) −0.0415006 + 0.0105543i −0.00173827 + 0.000442071i
\(571\) 18.4953 10.6783i 0.774004 0.446871i −0.0602970 0.998180i \(-0.519205\pi\)
0.834301 + 0.551309i \(0.185871\pi\)
\(572\) −13.7922 1.96906i −0.576682 0.0823306i
\(573\) −0.0467620 + 0.0467620i −0.00195351 + 0.00195351i
\(574\) −5.42838 2.78011i −0.226576 0.116040i
\(575\) 10.1764 2.45021i 0.424387 0.102181i
\(576\) 1.49998 2.59804i 0.0624990 0.108251i
\(577\) 2.33773 8.72454i 0.0973212 0.363208i −0.900040 0.435807i \(-0.856463\pi\)
0.997361 + 0.0725998i \(0.0231296\pi\)
\(578\) −3.83458 + 14.3108i −0.159497 + 0.595252i
\(579\) 0.0242563 0.0420131i 0.00100806 0.00174600i
\(580\) 6.44660 22.8867i 0.267680 0.950317i
\(581\) 0.950646 + 18.8898i 0.0394395 + 0.783681i
\(582\) −0.0228306 + 0.0228306i −0.000946358 + 0.000946358i
\(583\) −22.8339 3.25991i −0.945684 0.135012i
\(584\) 10.3091 5.95194i 0.426592 0.246293i
\(585\) 24.2216 + 14.3996i 1.00144 + 0.595348i
\(586\) 6.11932 10.5990i 0.252787 0.437839i
\(587\) 15.4011 + 15.4011i 0.635672 + 0.635672i 0.949485 0.313813i \(-0.101607\pi\)
−0.313813 + 0.949485i \(0.601607\pi\)
\(588\) −0.0169299 0.0446573i −0.000698176 0.00184163i
\(589\) −22.7416 −0.937051
\(590\) 20.2057 + 0.257872i 0.831855 + 0.0106164i
\(591\) 0.0468076 0.0270244i 0.00192541 0.00111163i
\(592\) 1.45927 5.44607i 0.0599756 0.223832i
\(593\) −10.6820 + 2.86224i −0.438658 + 0.117538i −0.471387 0.881926i \(-0.656247\pi\)
0.0327297 + 0.999464i \(0.489580\pi\)
\(594\) −0.0533214 + 0.124859i −0.00218780 + 0.00512304i
\(595\) 8.52467 + 1.94461i 0.349477 + 0.0797211i
\(596\) 19.8933i 0.814861i
\(597\) 0.103256 0.0276674i 0.00422599 0.00113235i
\(598\) 8.49426 + 2.27603i 0.347356 + 0.0930738i
\(599\) −8.14111 + 4.70027i −0.332637 + 0.192048i −0.657011 0.753881i \(-0.728180\pi\)
0.324374 + 0.945929i \(0.394846\pi\)
\(600\) 0.0299687 0.0162972i 0.00122347 0.000665329i
\(601\) 3.59744i 0.146743i 0.997305 + 0.0733713i \(0.0233758\pi\)
−0.997305 + 0.0733713i \(0.976624\pi\)
\(602\) −19.8863 + 6.41582i −0.810504 + 0.261489i
\(603\) 3.95216 3.95216i 0.160944 0.160944i
\(604\) −10.4453 + 18.0919i −0.425015 + 0.736148i
\(605\) −13.0274 + 20.8635i −0.529640 + 0.848222i
\(606\) 0.0175084 + 0.0303254i 0.000711229 + 0.00123188i
\(607\) 0.124485 + 0.464586i 0.00505270 + 0.0188569i 0.968406 0.249378i \(-0.0802262\pi\)
−0.963353 + 0.268235i \(0.913560\pi\)
\(608\) 1.98476 1.98476i 0.0804928 0.0804928i
\(609\) −0.104207 0.161197i −0.00422268 0.00653202i
\(610\) 10.0093 + 17.8591i 0.405265 + 0.723095i
\(611\) −38.0035 21.9413i −1.53746 0.887651i
\(612\) 4.28270 + 1.14755i 0.173118 + 0.0463868i
\(613\) −0.969883 + 3.61965i −0.0391732 + 0.146196i −0.982743 0.184979i \(-0.940778\pi\)
0.943569 + 0.331175i \(0.107445\pi\)
\(614\) −4.39685 2.53852i −0.177442 0.102446i
\(615\) −0.0171936 0.0306778i −0.000693314 0.00123705i
\(616\) −1.48695 8.64806i −0.0599108 0.348440i
\(617\) 9.50095 + 9.50095i 0.382494 + 0.382494i 0.872000 0.489506i \(-0.162823\pi\)
−0.489506 + 0.872000i \(0.662823\pi\)
\(618\) 0.0550579 0.0147527i 0.00221475 0.000593441i
\(619\) −32.8356 + 18.9576i −1.31977 + 0.761971i −0.983692 0.179862i \(-0.942435\pi\)
−0.336081 + 0.941833i \(0.609101\pi\)
\(620\) 17.5579 4.46528i 0.705143 0.179330i
\(621\) 0.0428484 0.0742156i 0.00171945 0.00297817i
\(622\) −4.78081 + 4.78081i −0.191693 + 0.191693i
\(623\) −13.9441 43.2206i −0.558657 1.73160i
\(624\) 0.0286598 0.00114731
\(625\) −24.9674 1.27561i −0.998697 0.0510245i
\(626\) −24.2844 + 14.0206i −0.970601 + 0.560377i
\(627\) −0.0392127 + 0.0499649i −0.00156600 + 0.00199541i
\(628\) −4.94775 18.4653i −0.197437 0.736844i
\(629\) 8.33295 0.332256
\(630\) −3.94718 + 17.3035i −0.157260 + 0.689387i
\(631\) −21.0063 −0.836247 −0.418124 0.908390i \(-0.637312\pi\)
−0.418124 + 0.908390i \(0.637312\pi\)
\(632\) 5.66433 1.51775i 0.225315 0.0603730i
\(633\) −0.0401772 + 0.149944i −0.00159690 + 0.00595972i
\(634\) −2.21007 3.82795i −0.0877730 0.152027i
\(635\) −0.0572712 + 4.48751i −0.00227274 + 0.178081i
\(636\) 0.0474482 0.00188144
\(637\) −18.5997 + 22.7747i −0.736949 + 0.902368i
\(638\) −13.1400 32.7281i −0.520219 1.29572i
\(639\) 19.1473 + 11.0547i 0.757454 + 0.437316i
\(640\) −1.14266 + 1.92207i −0.0451674 + 0.0759763i
\(641\) −2.79176 4.83547i −0.110268 0.190990i 0.805610 0.592446i \(-0.201838\pi\)
−0.915878 + 0.401456i \(0.868504\pi\)
\(642\) −0.0537087 + 0.0143912i −0.00211971 + 0.000567975i
\(643\) −14.5678 + 14.5678i −0.574499 + 0.574499i −0.933382 0.358884i \(-0.883157\pi\)
0.358884 + 0.933382i \(0.383157\pi\)
\(644\) 0.278390 + 5.53175i 0.0109701 + 0.217981i
\(645\) −0.115976 0.0326674i −0.00456653 0.00128628i
\(646\) 3.59264 + 2.07421i 0.141350 + 0.0816087i
\(647\) 2.00932 7.49889i 0.0789946 0.294812i −0.915115 0.403193i \(-0.867900\pi\)
0.994109 + 0.108382i \(0.0345668\pi\)
\(648\) −2.32926 + 8.69293i −0.0915021 + 0.341490i
\(649\) 23.9762 17.9855i 0.941150 0.705994i
\(650\) −17.9155 10.9625i −0.702705 0.429984i
\(651\) 0.0666672 0.130173i 0.00261290 0.00510188i
\(652\) 11.1657 + 11.1657i 0.437283 + 0.437283i
\(653\) 12.2714 + 45.7974i 0.480216 + 1.79219i 0.600699 + 0.799475i \(0.294889\pi\)
−0.120483 + 0.992715i \(0.538444\pi\)
\(654\) −0.0511296 + 0.0295197i −0.00199933 + 0.00115431i
\(655\) 7.38801 1.87890i 0.288674 0.0734146i
\(656\) 1.99633 + 1.15258i 0.0779435 + 0.0450007i
\(657\) −25.2515 + 25.2515i −0.985156 + 0.985156i
\(658\) 5.80260 27.0230i 0.226209 1.05347i
\(659\) −26.1138 −1.01725 −0.508624 0.860989i \(-0.669846\pi\)
−0.508624 + 0.860989i \(0.669846\pi\)
\(660\) 0.0204641 0.0462753i 0.000796563 0.00180127i
\(661\) 1.38186 + 2.39345i 0.0537481 + 0.0930944i 0.891648 0.452730i \(-0.149550\pi\)
−0.837900 + 0.545824i \(0.816217\pi\)
\(662\) 9.47089 + 2.53772i 0.368096 + 0.0986311i
\(663\) 0.0109630 + 0.0409144i 0.000425767 + 0.00158899i
\(664\) 7.14871i 0.277424i
\(665\) −7.75755 + 14.6823i −0.300825 + 0.569356i
\(666\) 16.9143i 0.655416i
\(667\) 5.76150 + 21.5022i 0.223086 + 0.832569i
\(668\) 3.13336 11.6939i 0.121233 0.452449i
\(669\) 0.00137368 0.000793093i 5.31094e−5 3.06627e-5i
\(670\) −2.98316 + 2.90798i −0.115250 + 0.112345i
\(671\) 27.9261 + 11.9259i 1.07808 + 0.460395i
\(672\) 0.00554243 + 0.0171792i 0.000213804 + 0.000662700i
\(673\) 31.9406 + 31.9406i 1.23122 + 1.23122i 0.963495 + 0.267725i \(0.0862720\pi\)
0.267725 + 0.963495i \(0.413728\pi\)
\(674\) 0.218605 + 0.126212i 0.00842035 + 0.00486149i
\(675\) −0.148376 + 0.140989i −0.00571100 + 0.00542666i
\(676\) −2.32285 4.02329i −0.0893403 0.154742i
\(677\) −0.438007 1.63466i −0.0168340 0.0628253i 0.956998 0.290095i \(-0.0936868\pi\)
−0.973832 + 0.227270i \(0.927020\pi\)
\(678\) 0.0817630 + 0.0817630i 0.00314009 + 0.00314009i
\(679\) 0.629316 + 12.5048i 0.0241509 + 0.479891i
\(680\) −3.18101 0.896010i −0.121986 0.0343604i
\(681\) −0.0432362 0.0249624i −0.00165681 0.000956562i
\(682\) 16.5900 21.1390i 0.635262 0.809453i
\(683\) −30.4531 8.15987i −1.16525 0.312229i −0.376191 0.926542i \(-0.622766\pi\)
−0.789062 + 0.614313i \(0.789433\pi\)
\(684\) −4.21025 + 7.29238i −0.160983 + 0.278831i
\(685\) −4.77219 8.51480i −0.182336 0.325334i
\(686\) −17.2485 6.74464i −0.658550 0.257512i
\(687\) 0.132427 + 0.132427i 0.00505242 + 0.00505242i
\(688\) 7.62869 2.04410i 0.290841 0.0779306i
\(689\) −14.6068 25.2997i −0.556475 0.963842i
\(690\) −0.0163205 + 0.0274527i −0.000621309 + 0.00104511i
\(691\) −7.54970 + 13.0765i −0.287204 + 0.497452i −0.973141 0.230209i \(-0.926059\pi\)
0.685937 + 0.727661i \(0.259392\pi\)
\(692\) −13.0531 + 13.0531i −0.496203 + 0.496203i
\(693\) 11.0235 + 23.9052i 0.418749 + 0.908085i
\(694\) 0.135451i 0.00514165i
\(695\) 15.4497 15.0603i 0.586040 0.571270i
\(696\) 0.0362745 + 0.0628293i 0.00137498 + 0.00238154i
\(697\) −0.881772 + 3.29082i −0.0333995 + 0.124649i
\(698\) −4.16924 15.5598i −0.157808 0.588947i
\(699\) 0.0258656 0.000978326
\(700\) 3.10645 12.8588i 0.117413 0.486019i
\(701\) 35.5069i 1.34108i −0.741874 0.670539i \(-0.766063\pi\)
0.741874 0.670539i \(-0.233937\pi\)
\(702\) −0.166098 + 0.0445059i −0.00626898 + 0.00167977i
\(703\) −4.09600 + 15.2865i −0.154483 + 0.576540i
\(704\) 0.397013 + 3.29278i 0.0149630 + 0.124101i
\(705\) 0.114122 0.111246i 0.00429809 0.00418977i
\(706\) 14.0624i 0.529244i
\(707\) 13.2765 + 2.85082i 0.499313 + 0.107216i
\(708\) −0.0435977 + 0.0435977i −0.00163850 + 0.00163850i
\(709\) 28.3368 + 16.3603i 1.06421 + 0.614422i 0.926594 0.376063i \(-0.122723\pi\)
0.137616 + 0.990486i \(0.456056\pi\)
\(710\) −14.1654 8.42125i −0.531619 0.316044i
\(711\) −15.2353 + 8.79609i −0.571367 + 0.329879i
\(712\) 4.44262 + 16.5801i 0.166494 + 0.621365i
\(713\) −11.9935 + 11.9935i −0.449159 + 0.449159i
\(714\) −0.0224047 + 0.0144837i −0.000838473 + 0.000542039i
\(715\) −30.9741 + 3.33414i −1.15837 + 0.124690i
\(716\) 7.51528 13.0168i 0.280859 0.486462i
\(717\) −0.0571810 0.0153216i −0.00213547 0.000572196i
\(718\) −10.8536 2.90822i −0.405054 0.108534i
\(719\) 11.9428 + 6.89517i 0.445390 + 0.257146i 0.705881 0.708330i \(-0.250551\pi\)
−0.260491 + 0.965476i \(0.583884\pi\)
\(720\) 1.81873 6.45684i 0.0677801 0.240632i
\(721\) 10.0759 19.6739i 0.375245 0.732694i
\(722\) 7.86403 7.86403i 0.292669 0.292669i
\(723\) −0.0414727 + 0.0111126i −0.00154239 + 0.000413281i
\(724\) −18.0799 + 10.4384i −0.671933 + 0.387941i
\(725\) 1.35687 53.1503i 0.0503927 1.97395i
\(726\) −0.0178382 0.0728986i −0.000662038 0.00270552i
\(727\) 14.1938 + 14.1938i 0.526419 + 0.526419i 0.919503 0.393084i \(-0.128592\pi\)
−0.393084 + 0.919503i \(0.628592\pi\)
\(728\) 7.45382 8.24381i 0.276257 0.305536i
\(729\) 26.9975i 0.999907i
\(730\) 19.0603 18.5800i 0.705455 0.687675i
\(731\) 5.83627 + 10.1087i 0.215862 + 0.373884i
\(732\) −0.0603379 0.0161675i −0.00223015 0.000597568i
\(733\) −9.66510 + 2.58976i −0.356989 + 0.0956548i −0.432856 0.901463i \(-0.642494\pi\)
0.0758673 + 0.997118i \(0.475827\pi\)
\(734\) −7.64030 −0.282009
\(735\) −0.0613003 0.0874456i −0.00226110 0.00322548i
\(736\) 2.09345i 0.0771656i
\(737\) −0.873323 + 6.11716i −0.0321693 + 0.225329i
\(738\) −6.67974 1.78983i −0.245885 0.0658846i
\(739\) −22.1837 38.4232i −0.816039 1.41342i −0.908579 0.417712i \(-0.862832\pi\)
0.0925402 0.995709i \(-0.470501\pi\)
\(740\) 0.160887 12.6063i 0.00591431 0.463418i
\(741\) −0.0804447 −0.00295521
\(742\) 12.3403 13.6482i 0.453026 0.501040i
\(743\) −23.6676 23.6676i −0.868280 0.868280i 0.124002 0.992282i \(-0.460427\pi\)
−0.992282 + 0.124002i \(0.960427\pi\)
\(744\) −0.0276389 + 0.0478721i −0.00101329 + 0.00175507i
\(745\) −10.9637 43.1105i −0.401680 1.57945i
\(746\) 8.83735 + 15.3067i 0.323558 + 0.560419i
\(747\) 5.55058 + 20.7151i 0.203085 + 0.757924i
\(748\) −4.54886 + 1.82633i −0.166323 + 0.0667771i
\(749\) −9.82895 + 19.1918i −0.359142 + 0.701253i
\(750\) 0.0559629 0.0518339i 0.00204348 0.00189271i
\(751\) −8.41103 + 14.5683i −0.306923 + 0.531606i −0.977688 0.210064i \(-0.932633\pi\)
0.670765 + 0.741670i \(0.265966\pi\)
\(752\) −2.70377 + 10.0906i −0.0985964 + 0.367967i
\(753\) 0.0586743 + 0.0157217i 0.00213821 + 0.000572931i
\(754\) 22.3340 38.6836i 0.813356 1.40877i
\(755\) −12.6650 + 44.9633i −0.460928 + 1.63638i
\(756\) −0.0587988 0.0909551i −0.00213849 0.00330800i
\(757\) 9.61359 + 9.61359i 0.349412 + 0.349412i 0.859890 0.510479i \(-0.170532\pi\)
−0.510479 + 0.859890i \(0.670532\pi\)
\(758\) −12.5593 + 3.36526i −0.456175 + 0.122232i
\(759\) 0.00567050 + 0.0470305i 0.000205826 + 0.00170710i
\(760\) 3.20730 5.39501i 0.116341 0.195698i
\(761\) −27.3375 15.7833i −0.990982 0.572144i −0.0854145 0.996346i \(-0.527221\pi\)
−0.905568 + 0.424202i \(0.860555\pi\)
\(762\) −0.00968267 0.00968267i −0.000350766 0.000350766i
\(763\) −4.80658 + 22.3845i −0.174010 + 0.810375i
\(764\) 9.69289i 0.350676i
\(765\) 9.91341 + 0.126519i 0.358420 + 0.00457429i
\(766\) −11.8484 + 6.84066i −0.428099 + 0.247163i
\(767\) 36.6680 + 9.82516i 1.32400 + 0.354766i
\(768\) −0.00176584 0.00659019i −6.37192e−5 0.000237803i
\(769\) −6.83654 −0.246532 −0.123266 0.992374i \(-0.539337\pi\)
−0.123266 + 0.992374i \(0.539337\pi\)
\(770\) −7.98852 17.9216i −0.287886 0.645849i
\(771\) −0.152021 −0.00547492
\(772\) 1.84033 + 6.86821i 0.0662349 + 0.247192i