Properties

Label 462.2.p.a.439.4
Level $462$
Weight $2$
Character 462.439
Analytic conductor $3.689$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.p (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 8 x^{15} + 74 x^{14} - 378 x^{13} + 1878 x^{12} - 6718 x^{11} + 22086 x^{10} - 56904 x^{9} + 130215 x^{8} - 239606 x^{7} + 378750 x^{6} - 477124 x^{5} + 493030 x^{4} - 386266 x^{3} + 223844 x^{2} - 82874 x + 13417\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 439.4
Root \(0.500000 + 2.40229i\) of defining polynomial
Character \(\chi\) \(=\) 462.439
Dual form 462.2.p.a.241.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.83045 + 1.63416i) q^{5} -1.00000 q^{6} +(-2.54243 + 0.732142i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.83045 + 1.63416i) q^{5} -1.00000 q^{6} +(-2.54243 + 0.732142i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.63416 - 2.83045i) q^{10} +(-0.569529 - 3.26736i) q^{11} +(0.866025 + 0.500000i) q^{12} +5.12518 q^{13} +(2.56788 + 0.637163i) q^{14} +3.26832 q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.66290 + 4.61228i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(2.13745 - 3.70217i) q^{19} +3.26832i q^{20} +(-1.83574 + 1.90527i) q^{21} +(-1.14045 + 3.11438i) q^{22} +(-2.68593 + 4.65217i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(2.84095 + 4.92067i) q^{25} +(-4.43853 - 2.56259i) q^{26} -1.00000i q^{27} +(-1.90527 - 1.83574i) q^{28} +4.77874i q^{29} +(-2.83045 - 1.63416i) q^{30} +(5.59873 - 3.23243i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.12691 - 2.54485i) q^{33} -5.32580i q^{34} +(-8.39266 - 2.08245i) q^{35} +1.00000 q^{36} +(-1.06546 + 1.84544i) q^{37} +(-3.70217 + 2.13745i) q^{38} +(4.43853 - 2.56259i) q^{39} +(1.63416 - 2.83045i) q^{40} -0.949652 q^{41} +(2.54243 - 0.732142i) q^{42} -6.20483i q^{43} +(2.54485 - 2.12691i) q^{44} +(2.83045 - 1.63416i) q^{45} +(4.65217 - 2.68593i) q^{46} +(10.4185 + 6.01513i) q^{47} +1.00000i q^{48} +(5.92794 - 3.72284i) q^{49} -5.68190i q^{50} +(4.61228 + 2.66290i) q^{51} +(2.56259 + 4.43853i) q^{52} +(-6.26996 - 10.8599i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(3.72736 - 10.1788i) q^{55} +(0.732142 + 2.54243i) q^{56} -4.27490i q^{57} +(2.38937 - 4.13851i) q^{58} +(-11.6778 + 6.74219i) q^{59} +(1.63416 + 2.83045i) q^{60} +(-2.67030 + 4.62509i) q^{61} -6.46485 q^{62} +(-0.637163 + 2.56788i) q^{63} -1.00000 q^{64} +(14.5065 + 8.37536i) q^{65} +(0.569529 + 3.26736i) q^{66} +(-3.09675 - 5.36373i) q^{67} +(-2.66290 + 4.61228i) q^{68} +5.37186i q^{69} +(6.22703 + 5.99979i) q^{70} -10.8061 q^{71} +(-0.866025 - 0.500000i) q^{72} +(-6.61476 - 11.4571i) q^{73} +(1.84544 - 1.06546i) q^{74} +(4.92067 + 2.84095i) q^{75} +4.27490 q^{76} +(3.84016 + 7.89007i) q^{77} -5.12518 q^{78} +(-7.93887 - 4.58351i) q^{79} +(-2.83045 + 1.63416i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(0.822423 + 0.474826i) q^{82} -0.835847 q^{83} +(-2.56788 - 0.637163i) q^{84} +17.4064i q^{85} +(-3.10242 + 5.37354i) q^{86} +(2.38937 + 4.13851i) q^{87} +(-3.26736 + 0.569529i) q^{88} +(-5.39021 - 3.11204i) q^{89} -3.26832 q^{90} +(-13.0304 + 3.75236i) q^{91} -5.37186 q^{92} +(3.23243 - 5.59873i) q^{93} +(-6.01513 - 10.4185i) q^{94} +(12.0999 - 6.98586i) q^{95} +(0.500000 - 0.866025i) q^{96} -0.624337i q^{97} +(-6.99517 + 0.260109i) q^{98} +(-3.11438 - 1.14045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + 2q^{10} - 4q^{11} + 8q^{14} - 4q^{15} - 8q^{16} - 10q^{19} - 4q^{21} + 2q^{22} - 4q^{23} - 8q^{24} + 10q^{25} + 12q^{26} - 12q^{30} + 6q^{31} + 2q^{33} - 8q^{35} + 16q^{36} + 14q^{37} - 12q^{38} - 12q^{39} - 2q^{40} + 32q^{41} + 6q^{42} + 4q^{44} + 12q^{45} + 18q^{46} - 24q^{47} - 6q^{49} + 6q^{51} - 8q^{54} - 14q^{55} + 4q^{56} - 2q^{60} + 28q^{61} - 8q^{62} - 6q^{63} - 16q^{64} + 72q^{65} + 4q^{66} - 16q^{67} - 30q^{70} - 56q^{71} - 44q^{73} + 24q^{74} - 12q^{75} - 20q^{76} + 32q^{77} - 30q^{79} - 12q^{80} - 8q^{81} - 12q^{82} + 8q^{83} - 8q^{84} - 12q^{86} + 4q^{88} - 36q^{89} + 4q^{90} - 8q^{91} - 8q^{92} + 4q^{93} + 14q^{94} + 72q^{95} + 8q^{96} - 40q^{98} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 2.83045 + 1.63416i 1.26581 + 0.730818i 0.974193 0.225716i \(-0.0724721\pi\)
0.291621 + 0.956534i \(0.405805\pi\)
\(6\) −1.00000 −0.408248
\(7\) −2.54243 + 0.732142i −0.960950 + 0.276724i
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −1.63416 2.83045i −0.516767 0.895066i
\(11\) −0.569529 3.26736i −0.171719 0.985146i
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) 5.12518 1.42147 0.710734 0.703461i \(-0.248363\pi\)
0.710734 + 0.703461i \(0.248363\pi\)
\(14\) 2.56788 + 0.637163i 0.686296 + 0.170289i
\(15\) 3.26832 0.843876
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.66290 + 4.61228i 0.645848 + 1.11864i 0.984105 + 0.177587i \(0.0568292\pi\)
−0.338257 + 0.941054i \(0.609837\pi\)
\(18\) −0.866025 + 0.500000i −0.204124 + 0.117851i
\(19\) 2.13745 3.70217i 0.490364 0.849336i −0.509574 0.860427i \(-0.670197\pi\)
0.999938 + 0.0110907i \(0.00353036\pi\)
\(20\) 3.26832i 0.730818i
\(21\) −1.83574 + 1.90527i −0.400592 + 0.415764i
\(22\) −1.14045 + 3.11438i −0.243145 + 0.663988i
\(23\) −2.68593 + 4.65217i −0.560055 + 0.970044i 0.437436 + 0.899250i \(0.355887\pi\)
−0.997491 + 0.0707942i \(0.977447\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) 2.84095 + 4.92067i 0.568190 + 0.984135i
\(26\) −4.43853 2.56259i −0.870468 0.502565i
\(27\) 1.00000i 0.192450i
\(28\) −1.90527 1.83574i −0.360062 0.346922i
\(29\) 4.77874i 0.887389i 0.896178 + 0.443695i \(0.146333\pi\)
−0.896178 + 0.443695i \(0.853667\pi\)
\(30\) −2.83045 1.63416i −0.516767 0.298355i
\(31\) 5.59873 3.23243i 1.00556 0.580561i 0.0956723 0.995413i \(-0.469500\pi\)
0.909889 + 0.414852i \(0.136167\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −2.12691 2.54485i −0.370247 0.443002i
\(34\) 5.32580i 0.913367i
\(35\) −8.39266 2.08245i −1.41862 0.351999i
\(36\) 1.00000 0.166667
\(37\) −1.06546 + 1.84544i −0.175161 + 0.303388i −0.940217 0.340576i \(-0.889378\pi\)
0.765056 + 0.643964i \(0.222711\pi\)
\(38\) −3.70217 + 2.13745i −0.600571 + 0.346740i
\(39\) 4.43853 2.56259i 0.710734 0.410343i
\(40\) 1.63416 2.83045i 0.258383 0.447533i
\(41\) −0.949652 −0.148311 −0.0741554 0.997247i \(-0.523626\pi\)
−0.0741554 + 0.997247i \(0.523626\pi\)
\(42\) 2.54243 0.732142i 0.392306 0.112972i
\(43\) 6.20483i 0.946228i −0.881001 0.473114i \(-0.843130\pi\)
0.881001 0.473114i \(-0.156870\pi\)
\(44\) 2.54485 2.12691i 0.383651 0.320643i
\(45\) 2.83045 1.63416i 0.421938 0.243606i
\(46\) 4.65217 2.68593i 0.685925 0.396019i
\(47\) 10.4185 + 6.01513i 1.51970 + 0.877397i 0.999731 + 0.0232091i \(0.00738833\pi\)
0.519965 + 0.854188i \(0.325945\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 5.92794 3.72284i 0.846848 0.531835i
\(50\) 5.68190i 0.803543i
\(51\) 4.61228 + 2.66290i 0.645848 + 0.372880i
\(52\) 2.56259 + 4.43853i 0.355367 + 0.615514i
\(53\) −6.26996 10.8599i −0.861246 1.49172i −0.870727 0.491766i \(-0.836352\pi\)
0.00948193 0.999955i \(-0.496982\pi\)
\(54\) −0.500000 + 0.866025i −0.0680414 + 0.117851i
\(55\) 3.72736 10.1788i 0.502598 1.37251i
\(56\) 0.732142 + 2.54243i 0.0978366 + 0.339747i
\(57\) 4.27490i 0.566224i
\(58\) 2.38937 4.13851i 0.313740 0.543413i
\(59\) −11.6778 + 6.74219i −1.52032 + 0.877758i −0.520608 + 0.853796i \(0.674295\pi\)
−0.999713 + 0.0239621i \(0.992372\pi\)
\(60\) 1.63416 + 2.83045i 0.210969 + 0.365409i
\(61\) −2.67030 + 4.62509i −0.341897 + 0.592183i −0.984785 0.173778i \(-0.944403\pi\)
0.642888 + 0.765960i \(0.277736\pi\)
\(62\) −6.46485 −0.821037
\(63\) −0.637163 + 2.56788i −0.0802750 + 0.323523i
\(64\) −1.00000 −0.125000
\(65\) 14.5065 + 8.37536i 1.79931 + 1.03883i
\(66\) 0.569529 + 3.26736i 0.0701042 + 0.402184i
\(67\) −3.09675 5.36373i −0.378328 0.655284i 0.612491 0.790478i \(-0.290168\pi\)
−0.990819 + 0.135194i \(0.956834\pi\)
\(68\) −2.66290 + 4.61228i −0.322924 + 0.559321i
\(69\) 5.37186i 0.646696i
\(70\) 6.22703 + 5.99979i 0.744272 + 0.717112i
\(71\) −10.8061 −1.28245 −0.641226 0.767352i \(-0.721574\pi\)
−0.641226 + 0.767352i \(0.721574\pi\)
\(72\) −0.866025 0.500000i −0.102062 0.0589256i
\(73\) −6.61476 11.4571i −0.774199 1.34095i −0.935244 0.354005i \(-0.884820\pi\)
0.161045 0.986947i \(-0.448514\pi\)
\(74\) 1.84544 1.06546i 0.214528 0.123858i
\(75\) 4.92067 + 2.84095i 0.568190 + 0.328045i
\(76\) 4.27490 0.490364
\(77\) 3.84016 + 7.89007i 0.437627 + 0.899157i
\(78\) −5.12518 −0.580312
\(79\) −7.93887 4.58351i −0.893193 0.515685i −0.0182072 0.999834i \(-0.505796\pi\)
−0.874985 + 0.484149i \(0.839129\pi\)
\(80\) −2.83045 + 1.63416i −0.316454 + 0.182705i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 0.822423 + 0.474826i 0.0908214 + 0.0524358i
\(83\) −0.835847 −0.0917462 −0.0458731 0.998947i \(-0.514607\pi\)
−0.0458731 + 0.998947i \(0.514607\pi\)
\(84\) −2.56788 0.637163i −0.280179 0.0695202i
\(85\) 17.4064i 1.88799i
\(86\) −3.10242 + 5.37354i −0.334542 + 0.579444i
\(87\) 2.38937 + 4.13851i 0.256167 + 0.443695i
\(88\) −3.26736 + 0.569529i −0.348302 + 0.0607120i
\(89\) −5.39021 3.11204i −0.571361 0.329875i 0.186332 0.982487i \(-0.440340\pi\)
−0.757693 + 0.652611i \(0.773673\pi\)
\(90\) −3.26832 −0.344511
\(91\) −13.0304 + 3.75236i −1.36596 + 0.393354i
\(92\) −5.37186 −0.560055
\(93\) 3.23243 5.59873i 0.335187 0.580561i
\(94\) −6.01513 10.4185i −0.620413 1.07459i
\(95\) 12.0999 6.98586i 1.24142 0.716734i
\(96\) 0.500000 0.866025i 0.0510310 0.0883883i
\(97\) 0.624337i 0.0633919i −0.999498 0.0316959i \(-0.989909\pi\)
0.999498 0.0316959i \(-0.0100908\pi\)
\(98\) −6.99517 + 0.260109i −0.706618 + 0.0262750i
\(99\) −3.11438 1.14045i −0.313007 0.114620i
\(100\) −2.84095 + 4.92067i −0.284095 + 0.492067i
\(101\) −6.58462 11.4049i −0.655194 1.13483i −0.981845 0.189685i \(-0.939253\pi\)
0.326651 0.945145i \(-0.394080\pi\)
\(102\) −2.66290 4.61228i −0.263666 0.456683i
\(103\) 11.4421 + 6.60608i 1.12742 + 0.650916i 0.943285 0.331985i \(-0.107718\pi\)
0.184135 + 0.982901i \(0.441052\pi\)
\(104\) 5.12518i 0.502565i
\(105\) −8.30948 + 2.39287i −0.810922 + 0.233520i
\(106\) 12.5399i 1.21799i
\(107\) 9.62104 + 5.55471i 0.930101 + 0.536994i 0.886844 0.462070i \(-0.152893\pi\)
0.0432576 + 0.999064i \(0.486226\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) −6.17596 + 3.56569i −0.591549 + 0.341531i −0.765710 0.643186i \(-0.777612\pi\)
0.174161 + 0.984717i \(0.444279\pi\)
\(110\) −8.31739 + 6.95141i −0.793032 + 0.662791i
\(111\) 2.13093i 0.202259i
\(112\) 0.637163 2.56788i 0.0602063 0.242642i
\(113\) 2.41436 0.227124 0.113562 0.993531i \(-0.463774\pi\)
0.113562 + 0.993531i \(0.463774\pi\)
\(114\) −2.13745 + 3.70217i −0.200190 + 0.346740i
\(115\) −15.2048 + 8.77847i −1.41785 + 0.818597i
\(116\) −4.13851 + 2.38937i −0.384251 + 0.221847i
\(117\) 2.56259 4.43853i 0.236911 0.410343i
\(118\) 13.4844 1.24134
\(119\) −10.1471 9.77678i −0.930181 0.896236i
\(120\) 3.26832i 0.298355i
\(121\) −10.3513 + 3.72171i −0.941025 + 0.338337i
\(122\) 4.62509 2.67030i 0.418736 0.241758i
\(123\) −0.822423 + 0.474826i −0.0741554 + 0.0428136i
\(124\) 5.59873 + 3.23243i 0.502781 + 0.290281i
\(125\) 2.22868i 0.199339i
\(126\) 1.83574 1.90527i 0.163541 0.169735i
\(127\) 13.8100i 1.22544i 0.790301 + 0.612719i \(0.209924\pi\)
−0.790301 + 0.612719i \(0.790076\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −3.10242 5.37354i −0.273152 0.473114i
\(130\) −8.37536 14.5065i −0.734567 1.27231i
\(131\) −5.89332 + 10.2075i −0.514902 + 0.891836i 0.484949 + 0.874543i \(0.338838\pi\)
−0.999850 + 0.0172935i \(0.994495\pi\)
\(132\) 1.14045 3.11438i 0.0992637 0.271072i
\(133\) −2.72381 + 10.9774i −0.236184 + 0.951864i
\(134\) 6.19350i 0.535037i
\(135\) 1.63416 2.83045i 0.140646 0.243606i
\(136\) 4.61228 2.66290i 0.395499 0.228342i
\(137\) −2.43055 4.20984i −0.207656 0.359671i 0.743320 0.668936i \(-0.233250\pi\)
−0.950976 + 0.309265i \(0.899917\pi\)
\(138\) 2.68593 4.65217i 0.228642 0.396019i
\(139\) −16.7827 −1.42349 −0.711744 0.702439i \(-0.752094\pi\)
−0.711744 + 0.702439i \(0.752094\pi\)
\(140\) −2.39287 8.30948i −0.202235 0.702279i
\(141\) 12.0303 1.01313
\(142\) 9.35838 + 5.40306i 0.785338 + 0.453415i
\(143\) −2.91894 16.7458i −0.244094 1.40035i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −7.80922 + 13.5260i −0.648520 + 1.12327i
\(146\) 13.2295i 1.09488i
\(147\) 3.27232 6.18805i 0.269897 0.510381i
\(148\) −2.13093 −0.175161
\(149\) 6.25672 + 3.61232i 0.512571 + 0.295933i 0.733890 0.679269i \(-0.237703\pi\)
−0.221319 + 0.975201i \(0.571036\pi\)
\(150\) −2.84095 4.92067i −0.231963 0.401771i
\(151\) 4.22644 2.44014i 0.343943 0.198576i −0.318071 0.948067i \(-0.603035\pi\)
0.662014 + 0.749491i \(0.269702\pi\)
\(152\) −3.70217 2.13745i −0.300286 0.173370i
\(153\) 5.32580 0.430565
\(154\) 0.619358 8.75308i 0.0499093 0.705343i
\(155\) 21.1292 1.69714
\(156\) 4.43853 + 2.56259i 0.355367 + 0.205171i
\(157\) −2.85996 + 1.65120i −0.228249 + 0.131780i −0.609764 0.792583i \(-0.708736\pi\)
0.381515 + 0.924363i \(0.375403\pi\)
\(158\) 4.58351 + 7.93887i 0.364644 + 0.631583i
\(159\) −10.8599 6.26996i −0.861246 0.497240i
\(160\) 3.26832 0.258383
\(161\) 3.42275 13.7943i 0.269751 1.08714i
\(162\) 1.00000i 0.0785674i
\(163\) 2.42268 4.19621i 0.189759 0.328672i −0.755411 0.655252i \(-0.772563\pi\)
0.945170 + 0.326579i \(0.105896\pi\)
\(164\) −0.474826 0.822423i −0.0370777 0.0642205i
\(165\) −1.86140 10.6788i −0.144910 0.831341i
\(166\) 0.723865 + 0.417924i 0.0561828 + 0.0324372i
\(167\) −2.13922 −0.165538 −0.0827688 0.996569i \(-0.526376\pi\)
−0.0827688 + 0.996569i \(0.526376\pi\)
\(168\) 1.90527 + 1.83574i 0.146995 + 0.141631i
\(169\) 13.2674 1.02057
\(170\) 8.70320 15.0744i 0.667505 1.15615i
\(171\) −2.13745 3.70217i −0.163455 0.283112i
\(172\) 5.37354 3.10242i 0.409729 0.236557i
\(173\) −8.87458 + 15.3712i −0.674722 + 1.16865i 0.301828 + 0.953362i \(0.402403\pi\)
−0.976550 + 0.215290i \(0.930930\pi\)
\(174\) 4.77874i 0.362275i
\(175\) −10.8256 10.4305i −0.818336 0.788472i
\(176\) 3.11438 + 1.14045i 0.234755 + 0.0859649i
\(177\) −6.74219 + 11.6778i −0.506774 + 0.877758i
\(178\) 3.11204 + 5.39021i 0.233257 + 0.404013i
\(179\) −1.44235 2.49822i −0.107806 0.186726i 0.807075 0.590449i \(-0.201049\pi\)
−0.914881 + 0.403723i \(0.867716\pi\)
\(180\) 2.83045 + 1.63416i 0.210969 + 0.121803i
\(181\) 10.9351i 0.812803i −0.913695 0.406401i \(-0.866783\pi\)
0.913695 0.406401i \(-0.133217\pi\)
\(182\) 13.1609 + 3.26558i 0.975547 + 0.242061i
\(183\) 5.34060i 0.394788i
\(184\) 4.65217 + 2.68593i 0.342962 + 0.198009i
\(185\) −6.03148 + 3.48228i −0.443443 + 0.256022i
\(186\) −5.59873 + 3.23243i −0.410519 + 0.237013i
\(187\) 13.5534 11.3275i 0.991120 0.828347i
\(188\) 12.0303i 0.877397i
\(189\) 0.732142 + 2.54243i 0.0532555 + 0.184935i
\(190\) −13.9717 −1.01362
\(191\) −6.43848 + 11.1518i −0.465872 + 0.806914i −0.999240 0.0389690i \(-0.987593\pi\)
0.533368 + 0.845883i \(0.320926\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 5.23494 3.02239i 0.376819 0.217557i −0.299614 0.954060i \(-0.596858\pi\)
0.676433 + 0.736504i \(0.263525\pi\)
\(194\) −0.312169 + 0.540692i −0.0224124 + 0.0388194i
\(195\) 16.7507 1.19954
\(196\) 6.18805 + 3.27232i 0.442003 + 0.233737i
\(197\) 6.18237i 0.440476i −0.975446 0.220238i \(-0.929317\pi\)
0.975446 0.220238i \(-0.0706833\pi\)
\(198\) 2.12691 + 2.54485i 0.151153 + 0.180855i
\(199\) −3.36231 + 1.94123i −0.238348 + 0.137610i −0.614417 0.788981i \(-0.710609\pi\)
0.376069 + 0.926591i \(0.377275\pi\)
\(200\) 4.92067 2.84095i 0.347944 0.200886i
\(201\) −5.36373 3.09675i −0.378328 0.218428i
\(202\) 13.1692i 0.926585i
\(203\) −3.49871 12.1496i −0.245562 0.852736i
\(204\) 5.32580i 0.372880i
\(205\) −2.68794 1.55188i −0.187734 0.108388i
\(206\) −6.60608 11.4421i −0.460267 0.797206i
\(207\) 2.68593 + 4.65217i 0.186685 + 0.323348i
\(208\) −2.56259 + 4.43853i −0.177684 + 0.307757i
\(209\) −13.3137 4.87532i −0.920925 0.337233i
\(210\) 8.39266 + 2.08245i 0.579148 + 0.143703i
\(211\) 9.04700i 0.622821i −0.950276 0.311410i \(-0.899199\pi\)
0.950276 0.311410i \(-0.100801\pi\)
\(212\) 6.26996 10.8599i 0.430623 0.745860i
\(213\) −9.35838 + 5.40306i −0.641226 + 0.370212i
\(214\) −5.55471 9.62104i −0.379712 0.657681i
\(215\) 10.1397 17.5624i 0.691521 1.19775i
\(216\) −1.00000 −0.0680414
\(217\) −11.8678 + 12.3173i −0.805639 + 0.836152i
\(218\) 7.13138 0.482998
\(219\) −11.4571 6.61476i −0.774199 0.446984i
\(220\) 10.6788 1.86140i 0.719963 0.125496i
\(221\) 13.6478 + 23.6387i 0.918052 + 1.59011i
\(222\) 1.06546 1.84544i 0.0715093 0.123858i
\(223\) 5.42935i 0.363576i 0.983338 + 0.181788i \(0.0581885\pi\)
−0.983338 + 0.181788i \(0.941812\pi\)
\(224\) −1.83574 + 1.90527i −0.122656 + 0.127301i
\(225\) 5.68190 0.378794
\(226\) −2.09090 1.20718i −0.139084 0.0803004i
\(227\) −5.92818 10.2679i −0.393467 0.681505i 0.599437 0.800422i \(-0.295391\pi\)
−0.992904 + 0.118917i \(0.962058\pi\)
\(228\) 3.70217 2.13745i 0.245182 0.141556i
\(229\) −5.56595 3.21350i −0.367808 0.212354i 0.304692 0.952451i \(-0.401446\pi\)
−0.672501 + 0.740097i \(0.734780\pi\)
\(230\) 17.5569 1.15767
\(231\) 7.27071 + 4.91292i 0.478378 + 0.323246i
\(232\) 4.77874 0.313740
\(233\) −1.73972 1.00443i −0.113973 0.0658023i 0.441930 0.897050i \(-0.354294\pi\)
−0.555903 + 0.831247i \(0.687627\pi\)
\(234\) −4.43853 + 2.56259i −0.290156 + 0.167522i
\(235\) 19.6594 + 34.0510i 1.28243 + 2.22124i
\(236\) −11.6778 6.74219i −0.760161 0.438879i
\(237\) −9.16702 −0.595462
\(238\) 3.89924 + 13.5405i 0.252750 + 0.877699i
\(239\) 4.65869i 0.301346i −0.988584 0.150673i \(-0.951856\pi\)
0.988584 0.150673i \(-0.0481440\pi\)
\(240\) −1.63416 + 2.83045i −0.105485 + 0.182705i
\(241\) 2.98498 + 5.17014i 0.192279 + 0.333038i 0.946005 0.324151i \(-0.105079\pi\)
−0.753726 + 0.657189i \(0.771745\pi\)
\(242\) 10.8253 + 1.95254i 0.695878 + 0.125514i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −5.34060 −0.341897
\(245\) 22.8624 0.850118i 1.46063 0.0543121i
\(246\) 0.949652 0.0605476
\(247\) 10.9548 18.9743i 0.697037 1.20730i
\(248\) −3.23243 5.59873i −0.205259 0.355520i
\(249\) −0.723865 + 0.417924i −0.0458731 + 0.0264848i
\(250\) 1.11434 1.93010i 0.0704771 0.122070i
\(251\) 1.45699i 0.0919645i 0.998942 + 0.0459822i \(0.0146418\pi\)
−0.998942 + 0.0459822i \(0.985358\pi\)
\(252\) −2.54243 + 0.732142i −0.160158 + 0.0461206i
\(253\) 16.7300 + 6.12635i 1.05181 + 0.385161i
\(254\) 6.90499 11.9598i 0.433258 0.750424i
\(255\) 8.70320 + 15.0744i 0.545015 + 0.943994i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 22.8407 + 13.1871i 1.42477 + 0.822589i 0.996701 0.0811588i \(-0.0258621\pi\)
0.428065 + 0.903748i \(0.359195\pi\)
\(258\) 6.20483i 0.386296i
\(259\) 1.35775 5.47198i 0.0843665 0.340012i
\(260\) 16.7507i 1.03883i
\(261\) 4.13851 + 2.38937i 0.256167 + 0.147898i
\(262\) 10.2075 5.89332i 0.630623 0.364091i
\(263\) 27.1221 15.6589i 1.67242 0.965571i 0.706138 0.708074i \(-0.250436\pi\)
0.966279 0.257497i \(-0.0828977\pi\)
\(264\) −2.54485 + 2.12691i −0.156625 + 0.130902i
\(265\) 40.9845i 2.51766i
\(266\) 7.84761 8.14484i 0.481168 0.499392i
\(267\) −6.22408 −0.380907
\(268\) 3.09675 5.36373i 0.189164 0.327642i
\(269\) 2.64139 1.52501i 0.161049 0.0929815i −0.417310 0.908764i \(-0.637027\pi\)
0.578358 + 0.815783i \(0.303694\pi\)
\(270\) −2.83045 + 1.63416i −0.172256 + 0.0994518i
\(271\) 11.2246 19.4416i 0.681847 1.18099i −0.292569 0.956244i \(-0.594510\pi\)
0.974417 0.224750i \(-0.0721564\pi\)
\(272\) −5.32580 −0.322924
\(273\) −9.40850 + 9.76485i −0.569428 + 0.590995i
\(274\) 4.86111i 0.293670i
\(275\) 14.4596 12.0849i 0.871947 0.728746i
\(276\) −4.65217 + 2.68593i −0.280028 + 0.161674i
\(277\) 17.7724 10.2609i 1.06784 0.616518i 0.140250 0.990116i \(-0.455209\pi\)
0.927591 + 0.373598i \(0.121876\pi\)
\(278\) 14.5342 + 8.39134i 0.871705 + 0.503279i
\(279\) 6.46485i 0.387041i
\(280\) −2.08245 + 8.39266i −0.124450 + 0.501557i
\(281\) 13.8822i 0.828141i 0.910245 + 0.414071i \(0.135893\pi\)
−0.910245 + 0.414071i \(0.864107\pi\)
\(282\) −10.4185 6.01513i −0.620413 0.358196i
\(283\) −14.8931 25.7956i −0.885304 1.53339i −0.845365 0.534189i \(-0.820617\pi\)
−0.0399386 0.999202i \(-0.512716\pi\)
\(284\) −5.40306 9.35838i −0.320613 0.555318i
\(285\) 6.98586 12.0999i 0.413807 0.716734i
\(286\) −5.84502 + 15.9618i −0.345624 + 0.943838i
\(287\) 2.41443 0.695280i 0.142519 0.0410411i
\(288\) 1.00000i 0.0589256i
\(289\) −5.68205 + 9.84161i −0.334238 + 0.578918i
\(290\) 13.5260 7.80922i 0.794272 0.458573i
\(291\) −0.312169 0.540692i −0.0182997 0.0316959i
\(292\) 6.61476 11.4571i 0.387099 0.670476i
\(293\) −10.3943 −0.607243 −0.303621 0.952793i \(-0.598196\pi\)
−0.303621 + 0.952793i \(0.598196\pi\)
\(294\) −5.92794 + 3.72284i −0.345724 + 0.217121i
\(295\) −44.0712 −2.56593
\(296\) 1.84544 + 1.06546i 0.107264 + 0.0619289i
\(297\) −3.26736 + 0.569529i −0.189591 + 0.0330474i
\(298\) −3.61232 6.25672i −0.209256 0.362442i
\(299\) −13.7659 + 23.8432i −0.796100 + 1.37889i
\(300\) 5.68190i 0.328045i
\(301\) 4.54282 + 15.7754i 0.261844 + 0.909277i
\(302\) −4.88028 −0.280828
\(303\) −11.4049 6.58462i −0.655194 0.378277i
\(304\) 2.13745 + 3.70217i 0.122591 + 0.212334i
\(305\) −15.1163 + 8.72739i −0.865556 + 0.499729i
\(306\) −4.61228 2.66290i −0.263666 0.152228i
\(307\) 1.37847 0.0786736 0.0393368 0.999226i \(-0.487475\pi\)
0.0393368 + 0.999226i \(0.487475\pi\)
\(308\) −4.91292 + 7.27071i −0.279940 + 0.414287i
\(309\) 13.2122 0.751613
\(310\) −18.2984 10.5646i −1.03928 0.600029i
\(311\) 9.11149 5.26052i 0.516665 0.298297i −0.218904 0.975746i \(-0.570248\pi\)
0.735569 + 0.677450i \(0.236915\pi\)
\(312\) −2.56259 4.43853i −0.145078 0.251282i
\(313\) 1.96323 + 1.13347i 0.110968 + 0.0640676i 0.554457 0.832212i \(-0.312926\pi\)
−0.443489 + 0.896280i \(0.646259\pi\)
\(314\) 3.30239 0.186365
\(315\) −5.99979 + 6.22703i −0.338050 + 0.350853i
\(316\) 9.16702i 0.515685i
\(317\) 2.47085 4.27963i 0.138777 0.240368i −0.788257 0.615346i \(-0.789016\pi\)
0.927034 + 0.374978i \(0.122350\pi\)
\(318\) 6.26996 + 10.8599i 0.351602 + 0.608993i
\(319\) 15.6139 2.72163i 0.874208 0.152382i
\(320\) −2.83045 1.63416i −0.158227 0.0913523i
\(321\) 11.1094 0.620067
\(322\) −9.86134 + 10.2348i −0.549551 + 0.570365i
\(323\) 22.7672 1.26680
\(324\) 0.500000 0.866025i 0.0277778 0.0481125i
\(325\) 14.5604 + 25.2193i 0.807665 + 1.39892i
\(326\) −4.19621 + 2.42268i −0.232406 + 0.134180i
\(327\) −3.56569 + 6.17596i −0.197183 + 0.341531i
\(328\) 0.949652i 0.0524358i
\(329\) −30.8923 7.66524i −1.70315 0.422598i
\(330\) −3.72736 + 10.1788i −0.205185 + 0.560324i
\(331\) −6.47446 + 11.2141i −0.355869 + 0.616383i −0.987266 0.159077i \(-0.949148\pi\)
0.631398 + 0.775459i \(0.282482\pi\)
\(332\) −0.417924 0.723865i −0.0229365 0.0397272i
\(333\) 1.06546 + 1.84544i 0.0583871 + 0.101129i
\(334\) 1.85262 + 1.06961i 0.101371 + 0.0585264i
\(335\) 20.2423i 1.10596i
\(336\) −0.732142 2.54243i −0.0399416 0.138701i
\(337\) 8.22142i 0.447849i 0.974606 + 0.223925i \(0.0718869\pi\)
−0.974606 + 0.223925i \(0.928113\pi\)
\(338\) −11.4899 6.63372i −0.624970 0.360827i
\(339\) 2.09090 1.20718i 0.113562 0.0655650i
\(340\) −15.0744 + 8.70320i −0.817523 + 0.471997i
\(341\) −13.7501 16.4521i −0.744612 0.890931i
\(342\) 4.27490i 0.231160i
\(343\) −12.3457 + 13.8052i −0.666607 + 0.745409i
\(344\) −6.20483 −0.334542
\(345\) −8.77847 + 15.2048i −0.472617 + 0.818597i
\(346\) 15.3712 8.87458i 0.826362 0.477100i
\(347\) −27.1635 + 15.6829i −1.45821 + 0.841901i −0.998924 0.0463849i \(-0.985230\pi\)
−0.459291 + 0.888286i \(0.651897\pi\)
\(348\) −2.38937 + 4.13851i −0.128084 + 0.221847i
\(349\) −3.15342 −0.168799 −0.0843993 0.996432i \(-0.526897\pi\)
−0.0843993 + 0.996432i \(0.526897\pi\)
\(350\) 4.15996 + 14.4459i 0.222359 + 0.772164i
\(351\) 5.12518i 0.273562i
\(352\) −2.12691 2.54485i −0.113364 0.135641i
\(353\) −7.06177 + 4.07712i −0.375860 + 0.217003i −0.676016 0.736887i \(-0.736295\pi\)
0.300155 + 0.953890i \(0.402961\pi\)
\(354\) 11.6778 6.74219i 0.620668 0.358343i
\(355\) −30.5862 17.6589i −1.62335 0.937239i
\(356\) 6.22408i 0.329875i
\(357\) −13.6760 3.39340i −0.723812 0.179598i
\(358\) 2.88470i 0.152461i
\(359\) 8.26228 + 4.77023i 0.436067 + 0.251763i 0.701928 0.712248i \(-0.252323\pi\)
−0.265861 + 0.964011i \(0.585656\pi\)
\(360\) −1.63416 2.83045i −0.0861278 0.149178i
\(361\) 0.362625 + 0.628085i 0.0190855 + 0.0330571i
\(362\) −5.46757 + 9.47011i −0.287369 + 0.497738i
\(363\) −7.10361 + 8.39873i −0.372843 + 0.440819i
\(364\) −9.76485 9.40850i −0.511817 0.493139i
\(365\) 43.2383i 2.26319i
\(366\) 2.67030 4.62509i 0.139579 0.241758i
\(367\) −5.86022 + 3.38340i −0.305901 + 0.176612i −0.645091 0.764106i \(-0.723180\pi\)
0.339190 + 0.940718i \(0.389847\pi\)
\(368\) −2.68593 4.65217i −0.140014 0.242511i
\(369\) −0.474826 + 0.822423i −0.0247185 + 0.0428136i
\(370\) 6.96456 0.362070
\(371\) 23.8919 + 23.0201i 1.24041 + 1.19514i
\(372\) 6.46485 0.335187
\(373\) 0.412900 + 0.238388i 0.0213791 + 0.0123433i 0.510651 0.859788i \(-0.329404\pi\)
−0.489272 + 0.872131i \(0.662738\pi\)
\(374\) −17.4013 + 3.03320i −0.899799 + 0.156843i
\(375\) 1.11434 + 1.93010i 0.0575443 + 0.0996697i
\(376\) 6.01513 10.4185i 0.310207 0.537294i
\(377\) 24.4919i 1.26140i
\(378\) 0.637163 2.56788i 0.0327721 0.132078i
\(379\) −15.2564 −0.783669 −0.391835 0.920036i \(-0.628160\pi\)
−0.391835 + 0.920036i \(0.628160\pi\)
\(380\) 12.0999 + 6.98586i 0.620710 + 0.358367i
\(381\) 6.90499 + 11.9598i 0.353753 + 0.612719i
\(382\) 11.1518 6.43848i 0.570574 0.329421i
\(383\) 10.5825 + 6.10983i 0.540743 + 0.312198i 0.745380 0.666640i \(-0.232268\pi\)
−0.204637 + 0.978838i \(0.565601\pi\)
\(384\) 1.00000 0.0510310
\(385\) −2.02426 + 28.6078i −0.103166 + 1.45799i
\(386\) −6.04479 −0.307672
\(387\) −5.37354 3.10242i −0.273152 0.157705i
\(388\) 0.540692 0.312169i 0.0274495 0.0158480i
\(389\) −14.0160 24.2765i −0.710641 1.23087i −0.964617 0.263656i \(-0.915072\pi\)
0.253975 0.967211i \(-0.418262\pi\)
\(390\) −14.5065 8.37536i −0.734567 0.424103i
\(391\) −28.6094 −1.44684
\(392\) −3.72284 5.92794i −0.188032 0.299406i
\(393\) 11.7866i 0.594557i
\(394\) −3.09118 + 5.35409i −0.155732 + 0.269735i
\(395\) −14.9804 25.9468i −0.753744 1.30552i
\(396\) −0.569529 3.26736i −0.0286199 0.164191i
\(397\) −26.1090 15.0741i −1.31038 0.756546i −0.328217 0.944602i \(-0.606448\pi\)
−0.982158 + 0.188057i \(0.939781\pi\)
\(398\) 3.88246 0.194610
\(399\) 3.12983 + 10.8686i 0.156688 + 0.544113i
\(400\) −5.68190 −0.284095
\(401\) 1.60532 2.78050i 0.0801661 0.138852i −0.823155 0.567817i \(-0.807788\pi\)
0.903321 + 0.428965i \(0.141122\pi\)
\(402\) 3.09675 + 5.36373i 0.154452 + 0.267518i
\(403\) 28.6945 16.5668i 1.42937 0.825249i
\(404\) 6.58462 11.4049i 0.327597 0.567415i
\(405\) 3.26832i 0.162404i
\(406\) −3.04484 + 12.2712i −0.151113 + 0.609011i
\(407\) 6.63653 + 2.43023i 0.328960 + 0.120462i
\(408\) 2.66290 4.61228i 0.131833 0.228342i
\(409\) 17.1522 + 29.7084i 0.848120 + 1.46899i 0.882884 + 0.469591i \(0.155598\pi\)
−0.0347647 + 0.999396i \(0.511068\pi\)
\(410\) 1.55188 + 2.68794i 0.0766420 + 0.132748i
\(411\) −4.20984 2.43055i −0.207656 0.119890i
\(412\) 13.2122i 0.650916i
\(413\) 24.7538 25.6914i 1.21806 1.26419i
\(414\) 5.37186i 0.264012i
\(415\) −2.36582 1.36591i −0.116134 0.0670498i
\(416\) 4.43853 2.56259i 0.217617 0.125641i
\(417\) −14.5342 + 8.39134i −0.711744 + 0.410925i
\(418\) 9.09231 + 10.8790i 0.444719 + 0.532108i
\(419\) 12.7969i 0.625168i −0.949890 0.312584i \(-0.898805\pi\)
0.949890 0.312584i \(-0.101195\pi\)
\(420\) −6.22703 5.99979i −0.303848 0.292760i
\(421\) 35.0356 1.70753 0.853766 0.520657i \(-0.174313\pi\)
0.853766 + 0.520657i \(0.174313\pi\)
\(422\) −4.52350 + 7.83493i −0.220200 + 0.381398i
\(423\) 10.4185 6.01513i 0.506565 0.292466i
\(424\) −10.8599 + 6.26996i −0.527403 + 0.304496i
\(425\) −15.1303 + 26.2065i −0.733929 + 1.27120i
\(426\) 10.8061 0.523559
\(427\) 3.40283 13.7140i 0.164675 0.663668i
\(428\) 11.1094i 0.536994i
\(429\) −10.9008 13.0428i −0.526294 0.629713i
\(430\) −17.5624 + 10.1397i −0.846936 + 0.488979i
\(431\) −22.4488 + 12.9608i −1.08132 + 0.624302i −0.931253 0.364374i \(-0.881283\pi\)
−0.150070 + 0.988675i \(0.547950\pi\)
\(432\) 0.866025 + 0.500000i 0.0416667 + 0.0240563i
\(433\) 29.5108i 1.41820i 0.705110 + 0.709098i \(0.250898\pi\)
−0.705110 + 0.709098i \(0.749102\pi\)
\(434\) 16.4365 4.73319i 0.788975 0.227200i
\(435\) 15.6184i 0.748847i
\(436\) −6.17596 3.56569i −0.295775 0.170766i
\(437\) 11.4821 + 19.8875i 0.549262 + 0.951350i
\(438\) 6.61476 + 11.4571i 0.316065 + 0.547441i
\(439\) 5.71039 9.89069i 0.272542 0.472057i −0.696970 0.717100i \(-0.745469\pi\)
0.969512 + 0.245043i \(0.0788022\pi\)
\(440\) −10.1788 3.72736i −0.485255 0.177695i
\(441\) −0.260109 6.99517i −0.0123861 0.333103i
\(442\) 27.2956i 1.29832i
\(443\) −12.7606 + 22.1020i −0.606273 + 1.05010i 0.385575 + 0.922676i \(0.374003\pi\)
−0.991849 + 0.127420i \(0.959330\pi\)
\(444\) −1.84544 + 1.06546i −0.0875807 + 0.0505647i
\(445\) −10.1711 17.6169i −0.482158 0.835122i
\(446\) 2.71468 4.70196i 0.128544 0.222644i
\(447\) 7.22464 0.341714
\(448\) 2.54243 0.732142i 0.120119 0.0345904i
\(449\) 25.9959 1.22682 0.613412 0.789763i \(-0.289797\pi\)
0.613412 + 0.789763i \(0.289797\pi\)
\(450\) −4.92067 2.84095i −0.231963 0.133924i
\(451\) 0.540855 + 3.10286i 0.0254678 + 0.146108i
\(452\) 1.20718 + 2.09090i 0.0567809 + 0.0983474i
\(453\) 2.44014 4.22644i 0.114648 0.198576i
\(454\) 11.8564i 0.556446i
\(455\) −43.0139 10.6729i −2.01652 0.500355i
\(456\) −4.27490 −0.200190
\(457\) 6.95633 + 4.01624i 0.325403 + 0.187872i 0.653798 0.756669i \(-0.273174\pi\)
−0.328395 + 0.944540i \(0.606508\pi\)
\(458\) 3.21350 + 5.56595i 0.150157 + 0.260080i
\(459\) 4.61228 2.66290i 0.215283 0.124293i
\(460\) −15.2048 8.77847i −0.708926 0.409298i
\(461\) 33.5115 1.56078 0.780392 0.625290i \(-0.215019\pi\)
0.780392 + 0.625290i \(0.215019\pi\)
\(462\) −3.84016 7.89007i −0.178660 0.367079i
\(463\) −15.7419 −0.731587 −0.365793 0.930696i \(-0.619202\pi\)
−0.365793 + 0.930696i \(0.619202\pi\)
\(464\) −4.13851 2.38937i −0.192125 0.110924i
\(465\) 18.2984 10.5646i 0.848569 0.489922i
\(466\) 1.00443 + 1.73972i 0.0465293 + 0.0805911i
\(467\) 8.86193 + 5.11644i 0.410081 + 0.236760i 0.690825 0.723022i \(-0.257248\pi\)
−0.280743 + 0.959783i \(0.590581\pi\)
\(468\) 5.12518 0.236911
\(469\) 11.8003 + 11.3697i 0.544887 + 0.525002i
\(470\) 39.3187i 1.81364i
\(471\) −1.65120 + 2.85996i −0.0760832 + 0.131780i
\(472\) 6.74219 + 11.6778i 0.310334 + 0.537515i
\(473\) −20.2734 + 3.53383i −0.932173 + 0.162486i
\(474\) 7.93887 + 4.58351i 0.364644 + 0.210528i
\(475\) 24.2896 1.11448
\(476\) 3.39340 13.6760i 0.155536 0.626839i
\(477\) −12.5399 −0.574164
\(478\) −2.32934 + 4.03454i −0.106542 + 0.184536i
\(479\) 2.59813 + 4.50009i 0.118712 + 0.205614i 0.919257 0.393657i \(-0.128790\pi\)
−0.800546 + 0.599272i \(0.795457\pi\)
\(480\) 2.83045 1.63416i 0.129192 0.0745888i
\(481\) −5.46070 + 9.45820i −0.248986 + 0.431257i
\(482\) 5.96996i 0.271924i
\(483\) −3.93296 13.6576i −0.178956 0.621442i
\(484\) −8.39873 7.10361i −0.381761 0.322891i
\(485\) 1.02027 1.76715i 0.0463279 0.0802423i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) 15.7741 + 27.3216i 0.714794 + 1.23806i 0.963039 + 0.269362i \(0.0868128\pi\)
−0.248245 + 0.968697i \(0.579854\pi\)
\(488\) 4.62509 + 2.67030i 0.209368 + 0.120879i
\(489\) 4.84536i 0.219115i
\(490\) −20.2245 10.6950i −0.913650 0.483150i
\(491\) 7.14182i 0.322306i 0.986929 + 0.161153i \(0.0515212\pi\)
−0.986929 + 0.161153i \(0.948479\pi\)
\(492\) −0.822423 0.474826i −0.0370777 0.0214068i
\(493\) −22.0409 + 12.7253i −0.992670 + 0.573118i
\(494\) −18.9743 + 10.9548i −0.853693 + 0.492880i
\(495\) −6.95141 8.31739i −0.312442 0.373839i
\(496\) 6.46485i 0.290281i
\(497\) 27.4739 7.91162i 1.23237 0.354885i
\(498\) 0.835847 0.0374552
\(499\) 17.3818 30.1061i 0.778114 1.34773i −0.154913 0.987928i \(-0.549510\pi\)
0.933027 0.359805i \(-0.117157\pi\)
\(500\) −1.93010 + 1.11434i −0.0863165 + 0.0498349i
\(501\) −1.85262 + 1.06961i −0.0827688 + 0.0477866i
\(502\) 0.728495 1.26179i 0.0325143 0.0563165i
\(503\) 3.06150 0.136506 0.0682529 0.997668i \(-0.478258\pi\)
0.0682529 + 0.997668i \(0.478258\pi\)
\(504\) 2.56788 + 0.637163i 0.114383 + 0.0283815i
\(505\) 43.0413i 1.91531i
\(506\) −11.4254 13.6706i −0.507923 0.607732i
\(507\) 11.4899 6.63372i 0.510286 0.294614i
\(508\) −11.9598 + 6.90499i −0.530630 + 0.306360i
\(509\) −24.6258 14.2177i −1.09152 0.630188i −0.157538 0.987513i \(-0.550356\pi\)
−0.933980 + 0.357325i \(0.883689\pi\)
\(510\) 17.4064i 0.770768i
\(511\) 25.2058 + 24.2860i 1.11504 + 1.07435i
\(512\) 1.00000i 0.0441942i
\(513\) −3.70217 2.13745i −0.163455 0.0943707i
\(514\) −13.1871 22.8407i −0.581658 1.00746i
\(515\) 21.5908 + 37.3963i 0.951403 + 1.64788i
\(516\) 3.10242 5.37354i 0.136576 0.236557i
\(517\) 13.7199 37.4668i 0.603402 1.64779i
\(518\) −3.91184 + 4.06000i −0.171876 + 0.178386i
\(519\) 17.7492i 0.779101i
\(520\) 8.37536 14.5065i 0.367284 0.636154i
\(521\) −3.15741 + 1.82293i −0.138329 + 0.0798642i −0.567567 0.823327i \(-0.692115\pi\)
0.429238 + 0.903191i \(0.358782\pi\)
\(522\) −2.38937 4.13851i −0.104580 0.181138i
\(523\) 11.9730 20.7378i 0.523542 0.906801i −0.476083 0.879401i \(-0.657944\pi\)
0.999625 0.0274006i \(-0.00872297\pi\)
\(524\) −11.7866 −0.514902
\(525\) −14.5905 3.62030i −0.636780 0.158003i
\(526\) −31.3179 −1.36552
\(527\) 29.8177 + 17.2152i 1.29888 + 0.749908i
\(528\) 3.26736 0.569529i 0.142194 0.0247856i
\(529\) −2.92843 5.07220i −0.127323 0.220530i
\(530\) −20.4922 + 35.4936i −0.890126 + 1.54174i
\(531\) 13.4844i 0.585172i
\(532\) −10.8686 + 3.12983i −0.471215 + 0.135695i
\(533\) −4.86714 −0.210819
\(534\) 5.39021 + 3.11204i 0.233257 + 0.134671i
\(535\) 18.1546 + 31.4446i 0.784890 + 1.35947i
\(536\) −5.36373 + 3.09675i −0.231678 + 0.133759i
\(537\) −2.49822 1.44235i −0.107806 0.0622420i
\(538\) −3.05002 −0.131496
\(539\) −15.5400 17.2484i −0.669355 0.742943i
\(540\) 3.26832 0.140646
\(541\) 37.2883 + 21.5284i 1.60315 + 0.925580i 0.990852 + 0.134954i \(0.0430886\pi\)
0.612299 + 0.790626i \(0.290245\pi\)
\(542\) −19.4416 + 11.2246i −0.835089 + 0.482139i
\(543\) −5.46757 9.47011i −0.234636 0.406401i
\(544\) 4.61228 + 2.66290i 0.197750 + 0.114171i
\(545\) −23.3076 −0.998389
\(546\) 13.0304 3.75236i 0.557651 0.160586i
\(547\) 8.00013i 0.342061i −0.985266 0.171030i \(-0.945290\pi\)
0.985266 0.171030i \(-0.0547097\pi\)
\(548\) 2.43055 4.20984i 0.103828 0.179836i
\(549\) 2.67030 + 4.62509i 0.113966 + 0.197394i
\(550\) −18.5648 + 3.23601i −0.791607 + 0.137984i
\(551\) 17.6917 + 10.2143i 0.753692 + 0.435144i
\(552\) 5.37186 0.228642
\(553\) 23.5398 + 5.84089i 1.00102 + 0.248380i
\(554\) −20.5218 −0.871888
\(555\) −3.48228 + 6.03148i −0.147814 + 0.256022i
\(556\) −8.39134 14.5342i −0.355872 0.616388i
\(557\) 20.2134 11.6702i 0.856471 0.494484i −0.00635822 0.999980i \(-0.502024\pi\)
0.862829 + 0.505496i \(0.168691\pi\)
\(558\) −3.23243 + 5.59873i −0.136840 + 0.237013i
\(559\) 31.8009i 1.34503i
\(560\) 5.99979 6.22703i 0.253537 0.263140i
\(561\) 6.07382 16.5866i 0.256437 0.700285i
\(562\) 6.94109 12.0223i 0.292792 0.507131i
\(563\) 13.2190 + 22.8960i 0.557116 + 0.964953i 0.997736 + 0.0672592i \(0.0214254\pi\)
−0.440620 + 0.897694i \(0.645241\pi\)
\(564\) 6.01513 + 10.4185i 0.253283 + 0.438698i
\(565\) 6.83371 + 3.94545i 0.287496 + 0.165986i
\(566\) 29.7862i 1.25201i
\(567\) 1.90527 + 1.83574i 0.0800138 + 0.0770939i
\(568\) 10.8061i 0.453415i
\(569\) −21.6494 12.4993i −0.907590 0.523997i −0.0279352 0.999610i \(-0.508893\pi\)
−0.879655 + 0.475612i \(0.842227\pi\)
\(570\) −12.0999 + 6.98586i −0.506808 + 0.292606i
\(571\) −37.6593 + 21.7426i −1.57599 + 0.909899i −0.580581 + 0.814203i \(0.697174\pi\)
−0.995411 + 0.0956961i \(0.969492\pi\)
\(572\) 13.0428 10.9008i 0.545347 0.455784i
\(573\) 12.8770i 0.537943i
\(574\) −2.43860 0.605084i −0.101785 0.0252557i
\(575\) −30.5224 −1.27287
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 24.0746 13.8995i 1.00224 0.578643i 0.0933293 0.995635i \(-0.470249\pi\)
0.908910 + 0.416992i \(0.136916\pi\)
\(578\) 9.84161 5.68205i 0.409357 0.236342i
\(579\) 3.02239 5.23494i 0.125606 0.217557i
\(580\) −15.6184 −0.648520
\(581\) 2.12509 0.611959i 0.0881634 0.0253883i
\(582\) 0.624337i 0.0258796i
\(583\) −31.9122 + 26.6712i −1.32167 + 1.10461i
\(584\) −11.4571 + 6.61476i −0.474098 + 0.273721i
\(585\) 14.5065 8.37536i 0.599772 0.346278i
\(586\) 9.00174 + 5.19716i 0.371859 + 0.214693i
\(587\) 11.2683i 0.465091i 0.972585 + 0.232546i \(0.0747055\pi\)
−0.972585 + 0.232546i \(0.925294\pi\)
\(588\) 6.99517 0.260109i 0.288476 0.0107267i
\(589\) 27.6366i 1.13875i
\(590\) 38.1668 + 22.0356i 1.57130 + 0.907192i
\(591\) −3.09118 5.35409i −0.127154 0.220238i
\(592\) −1.06546 1.84544i −0.0437903 0.0758471i
\(593\) 7.85106 13.5984i 0.322405 0.558421i −0.658579 0.752512i \(-0.728842\pi\)
0.980984 + 0.194090i \(0.0621755\pi\)
\(594\) 3.11438 + 1.14045i 0.127785 + 0.0467934i
\(595\) −12.7440 44.2546i −0.522451 1.81426i
\(596\) 7.22464i 0.295933i
\(597\) −1.94123 + 3.36231i −0.0794492 + 0.137610i
\(598\) 23.8432 13.7659i 0.975020 0.562928i
\(599\) −4.79001 8.29654i −0.195714 0.338987i 0.751420 0.659824i \(-0.229369\pi\)
−0.947134 + 0.320837i \(0.896036\pi\)
\(600\) 2.84095 4.92067i 0.115981 0.200886i
\(601\) −36.7398 −1.49865 −0.749324 0.662204i \(-0.769621\pi\)
−0.749324 + 0.662204i \(0.769621\pi\)
\(602\) 3.95349 15.9333i 0.161132 0.649392i
\(603\) −6.19350 −0.252219
\(604\) 4.22644 + 2.44014i 0.171972 + 0.0992878i
\(605\) −35.3806 6.38152i −1.43843 0.259446i
\(606\) 6.58462 + 11.4049i 0.267482 + 0.463292i
\(607\) −20.2326 + 35.0438i −0.821215 + 1.42239i 0.0835632 + 0.996502i \(0.473370\pi\)
−0.904778 + 0.425883i \(0.859963\pi\)
\(608\) 4.27490i 0.173370i
\(609\) −9.10479 8.77253i −0.368945 0.355481i
\(610\) 17.4548 0.706723
\(611\) 53.3967 + 30.8286i 2.16020 + 1.24719i
\(612\) 2.66290 + 4.61228i 0.107641 + 0.186440i
\(613\) 9.07028 5.23673i 0.366345 0.211509i −0.305515 0.952187i \(-0.598829\pi\)
0.671860 + 0.740678i \(0.265495\pi\)
\(614\) −1.19379 0.689237i −0.0481776 0.0278153i
\(615\) −3.10377 −0.125156
\(616\) 7.89007 3.84016i 0.317900 0.154724i
\(617\) −14.4244 −0.580706 −0.290353 0.956920i \(-0.593773\pi\)
−0.290353 + 0.956920i \(0.593773\pi\)
\(618\) −11.4421 6.60608i −0.460267 0.265735i
\(619\) 38.7932 22.3973i 1.55923 0.900223i 0.561901 0.827205i \(-0.310070\pi\)
0.997331 0.0730178i \(-0.0232630\pi\)
\(620\) 10.5646 + 18.2984i 0.424285 + 0.734882i
\(621\) 4.65217 + 2.68593i 0.186685 + 0.107783i
\(622\) −10.5210 −0.421855
\(623\) 15.9827 + 3.96575i 0.640333 + 0.158885i
\(624\) 5.12518i 0.205171i
\(625\) 10.5627 18.2952i 0.422510 0.731808i
\(626\) −1.13347 1.96323i −0.0453026 0.0784664i
\(627\) −13.9676 + 2.43468i −0.557813 + 0.0972317i
\(628\) −2.85996 1.65120i −0.114125 0.0658900i
\(629\) −11.3489 −0.452510
\(630\) 8.30948 2.39287i 0.331058 0.0953343i
\(631\) 13.1975 0.525383 0.262692 0.964880i \(-0.415390\pi\)
0.262692 + 0.964880i \(0.415390\pi\)
\(632\) −4.58351 + 7.93887i −0.182322 + 0.315791i
\(633\) −4.52350 7.83493i −0.179793 0.311410i
\(634\) −4.27963 + 2.47085i −0.169966 + 0.0981298i
\(635\) −22.5677 + 39.0884i −0.895572 + 1.55118i
\(636\) 12.5399i 0.497240i
\(637\) 30.3817 19.0802i 1.20377 0.755986i
\(638\) −14.8828 5.44993i −0.589216 0.215765i
\(639\) −5.40306 + 9.35838i −0.213742 + 0.370212i
\(640\) 1.63416 + 2.83045i 0.0645958 + 0.111883i
\(641\) −10.7925 18.6931i −0.426278 0.738335i 0.570261 0.821463i \(-0.306842\pi\)
−0.996539 + 0.0831289i \(0.973509\pi\)
\(642\) −9.62104 5.55471i −0.379712 0.219227i
\(643\) 28.9651i 1.14227i 0.820855 + 0.571137i \(0.193497\pi\)
−0.820855 + 0.571137i \(0.806503\pi\)
\(644\) 13.6576 3.93296i 0.538185 0.154980i
\(645\) 20.2794i 0.798499i
\(646\) −19.7170 11.3836i −0.775755 0.447882i
\(647\) 25.4299 14.6820i 0.999753 0.577208i 0.0915779 0.995798i \(-0.470809\pi\)
0.908175 + 0.418590i \(0.137476\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 28.6800 + 34.3157i 1.12579 + 1.34701i
\(650\) 29.1208i 1.14221i
\(651\) −4.11917 + 16.6010i −0.161443 + 0.650644i
\(652\) 4.84536 0.189759
\(653\) 19.1225 33.1211i 0.748320 1.29613i −0.200308 0.979733i \(-0.564194\pi\)
0.948628 0.316395i \(-0.102472\pi\)
\(654\) 6.17596 3.56569i 0.241499 0.139430i
\(655\) −33.3615 + 19.2612i −1.30354 + 0.752599i
\(656\) 0.474826 0.822423i 0.0185388 0.0321102i
\(657\) −13.2295 −0.516133
\(658\) 22.9209 + 22.0844i 0.893549 + 0.860941i
\(659\) 0.210272i 0.00819105i −0.999992 0.00409553i \(-0.998696\pi\)
0.999992 0.00409553i \(-0.00130365\pi\)
\(660\) 8.31739 6.95141i 0.323754 0.270583i
\(661\) 8.07735 4.66346i 0.314172 0.181388i −0.334620 0.942353i \(-0.608608\pi\)
0.648792 + 0.760966i \(0.275274\pi\)
\(662\) 11.2141 6.47446i 0.435848 0.251637i
\(663\) 23.6387 + 13.6478i 0.918052 + 0.530038i
\(664\) 0.835847i 0.0324372i
\(665\) −25.6485 + 26.6199i −0.994605 + 1.03228i
\(666\) 2.13093i 0.0825718i
\(667\) −22.2315 12.8354i −0.860807 0.496987i
\(668\) −1.06961 1.85262i −0.0413844 0.0716799i
\(669\) 2.71468 + 4.70196i 0.104955 + 0.181788i
\(670\) −10.1212 + 17.5304i −0.391015 + 0.677257i
\(671\) 16.6327 + 6.09070i 0.642096 + 0.235129i
\(672\) −0.637163 + 2.56788i −0.0245791 + 0.0990582i
\(673\) 15.7351i 0.606545i 0.952904 + 0.303273i \(0.0980793\pi\)
−0.952904 + 0.303273i \(0.901921\pi\)
\(674\) 4.11071 7.11996i 0.158339 0.274251i
\(675\) 4.92067 2.84095i 0.189397 0.109348i
\(676\) 6.63372 + 11.4899i 0.255143 + 0.441921i
\(677\) 6.53943 11.3266i 0.251331 0.435318i −0.712562 0.701609i \(-0.752465\pi\)
0.963892 + 0.266292i \(0.0857985\pi\)
\(678\) −2.41436 −0.0927229
\(679\) 0.457103 + 1.58734i 0.0175420 + 0.0609164i
\(680\) 17.4064 0.667505
\(681\) −10.2679 5.92818i −0.393467 0.227168i
\(682\) 3.68192 + 21.1230i 0.140988 + 0.808842i
\(683\) 12.5854 + 21.7986i 0.481568 + 0.834101i 0.999776 0.0211540i \(-0.00673402\pi\)
−0.518208 + 0.855255i \(0.673401\pi\)
\(684\) 2.13745 3.70217i 0.0817274 0.141556i
\(685\) 15.8876i 0.607036i
\(686\) 17.5943 5.78276i 0.671754 0.220787i
\(687\) −6.42701 −0.245206
\(688\) 5.37354 + 3.10242i 0.204864 + 0.118278i
\(689\) −32.1347 55.6589i −1.22423 2.12043i
\(690\) 15.2048 8.77847i 0.578835 0.334191i
\(691\) 0.686294 + 0.396232i 0.0261079 + 0.0150734i 0.512997 0.858390i \(-0.328535\pi\)
−0.486889 + 0.873464i \(0.661868\pi\)
\(692\) −17.7492 −0.674722
\(693\) 8.75308 + 0.619358i 0.332502 + 0.0235275i
\(694\) 31.3657 1.19063
\(695\) −47.5025 27.4256i −1.80187 1.04031i
\(696\) 4.13851 2.38937i 0.156870 0.0905688i
\(697\) −2.52883 4.38006i −0.0957862 0.165907i
\(698\) 2.73094 + 1.57671i 0.103368 + 0.0596793i
\(699\) −2.00886 −0.0759820
\(700\) 3.62030 14.5905i 0.136835 0.551468i
\(701\) 39.5754i 1.49474i −0.664406 0.747372i \(-0.731315\pi\)
0.664406 0.747372i \(-0.268685\pi\)
\(702\) −2.56259 + 4.43853i −0.0967187 + 0.167522i
\(703\) 4.55475 + 7.88906i 0.171786 + 0.297542i
\(704\) 0.569529 + 3.26736i 0.0214649 + 0.123143i
\(705\) 34.0510 + 19.6594i 1.28243 + 0.740414i
\(706\) 8.15423 0.306889
\(707\) 25.0910 + 24.1753i 0.943643 + 0.909206i
\(708\) −13.4844 −0.506774
\(709\) −18.2211 + 31.5598i −0.684307 + 1.18525i 0.289347 + 0.957224i \(0.406562\pi\)
−0.973654 + 0.228030i \(0.926771\pi\)
\(710\) 17.6589 + 30.5862i 0.662728 + 1.14788i
\(711\) −7.93887 + 4.58351i −0.297731 + 0.171895i
\(712\) −3.11204 + 5.39021i −0.116629 + 0.202007i
\(713\) 34.7283i 1.30058i
\(714\) 10.1471 + 9.77678i 0.379745 + 0.365887i
\(715\) 19.1034 52.1681i 0.714427 1.95098i
\(716\) 1.44235 2.49822i 0.0539031 0.0933629i
\(717\) −2.32934 4.03454i −0.0869910 0.150673i
\(718\) −4.77023 8.26228i −0.178023 0.308346i
\(719\) −12.2632 7.08018i −0.457341 0.264046i 0.253584 0.967313i \(-0.418390\pi\)
−0.710926 + 0.703267i \(0.751724\pi\)
\(720\) 3.26832i 0.121803i
\(721\) −33.9273 8.41830i −1.26352 0.313514i
\(722\) 0.725250i 0.0269910i
\(723\) 5.17014 + 2.98498i 0.192279 + 0.111013i
\(724\) 9.47011 5.46757i 0.351954 0.203201i
\(725\) −23.5146 + 13.5762i −0.873311 + 0.504206i
\(726\) 10.3513 3.72171i 0.384172 0.138126i
\(727\) 8.58699i 0.318474i 0.987240 + 0.159237i \(0.0509033\pi\)
−0.987240 + 0.159237i \(0.949097\pi\)
\(728\) 3.75236 + 13.0304i 0.139072 + 0.482940i
\(729\) −1.00000 −0.0370370
\(730\) −21.6191 + 37.4454i −0.800160 + 1.38592i
\(731\) 28.6184 16.5228i 1.05849 0.611119i
\(732\) −4.62509 + 2.67030i −0.170948 + 0.0986971i
\(733\) 21.3598 36.9962i 0.788942 1.36649i −0.137674 0.990478i \(-0.543963\pi\)
0.926616 0.376010i \(-0.122704\pi\)
\(734\) 6.76680 0.249767
\(735\) 19.3744 12.1674i 0.714635 0.448803i
\(736\) 5.37186i 0.198009i
\(737\) −15.7615 + 13.1730i −0.580584 + 0.485233i
\(738\) 0.822423 0.474826i 0.0302738 0.0174786i
\(739\) 28.7537 16.6009i 1.05772 0.610675i 0.132920 0.991127i \(-0.457565\pi\)
0.924801 + 0.380452i \(0.124231\pi\)
\(740\) −6.03148 3.48228i −0.221722 0.128011i
\(741\) 21.9096i 0.804870i
\(742\) −9.18100 31.8819i −0.337045 1.17042i
\(743\) 8.11448i 0.297691i −0.988860 0.148846i \(-0.952444\pi\)
0.988860 0.148846i \(-0.0475557\pi\)
\(744\) −5.59873 3.23243i −0.205259 0.118507i
\(745\) 11.8062 + 20.4490i 0.432546 + 0.749192i
\(746\) −0.238388 0.412900i −0.00872800 0.0151173i
\(747\) −0.417924 + 0.723865i −0.0152910 + 0.0264848i
\(748\) 16.5866 + 6.07382i 0.606465 + 0.222081i
\(749\) −28.5277 7.07852i −1.04238 0.258643i
\(750\) 2.22868i 0.0813800i
\(751\) −0.0376756 + 0.0652561i −0.00137480 + 0.00238123i −0.866712 0.498809i \(-0.833771\pi\)
0.865337 + 0.501190i \(0.167104\pi\)
\(752\) −10.4185 + 6.01513i −0.379924 + 0.219349i
\(753\) 0.728495 + 1.26179i 0.0265479 + 0.0459822i
\(754\) 12.2459 21.2106i 0.445971 0.772444i
\(755\) 15.9503 0.580491
\(756\) −1.83574 + 1.90527i −0.0667653 + 0.0692940i
\(757\) −0.134400 −0.00488484 −0.00244242 0.999997i \(-0.500777\pi\)
−0.00244242 + 0.999997i \(0.500777\pi\)
\(758\) 13.2124 + 7.62821i 0.479898 + 0.277069i
\(759\) 17.5518 3.05943i 0.637090 0.111050i
\(760\) −6.98586 12.0999i −0.253404 0.438908i
\(761\) 7.35142 12.7330i 0.266489 0.461572i −0.701464 0.712705i \(-0.747470\pi\)
0.967953 + 0.251133i \(0.0808031\pi\)
\(762\) 13.8100i 0.500283i
\(763\) 13.0914 13.5872i 0.473939 0.491890i
\(764\) −12.8770 −0.465872
\(765\) 15.0744 + 8.70320i 0.545015 + 0.314665i
\(766\) −6.10983 10.5825i −0.220757 0.382363i
\(767\) −59.8508 + 34.5549i −2.16109 + 1.24770i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) 7.17040 0.258571 0.129286 0.991607i \(-0.458732\pi\)
0.129286 + 0.991607i \(0.458732\pi\)
\(770\) 16.0570 23.7630i 0.578654 0.856359i
\(771\) 26.3742 0.949844
\(772\) 5.23494 + 3.02239i 0.188410 + 0.108778i
\(773\) −32.2256 + 18.6055i −1.15907 + 0.669192i −0.951082 0.308939i \(-0.900026\pi\)
−0.207992 + 0.978131i \(0.566693\pi\)
\(774\) 3.10242 + 5.37354i 0.111514 + 0.193148i
\(775\) 31.8114 + 18.3663i 1.14270