Properties

Label 462.2.p.b.241.8
Level $462$
Weight $2$
Character 462.241
Analytic conductor $3.689$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 241.8
Root \(0.500000 + 2.40229i\) of defining polynomial
Character \(\chi\) \(=\) 462.241
Dual form 462.2.p.b.439.8

$q$-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} +(-2.54485 + 2.12691i) 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} +(-3.26736 + 0.569529i) 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} +(0.569529 + 3.26736i) 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} +(-2.54485 + 2.12691i) 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} +(-8.02731 + 3.54433i) 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} +(2.12691 + 2.54485i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 12q^{5} + 16q^{6} + 6q^{7} + 8q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 12q^{5} + 16q^{6} + 6q^{7} + 8q^{9} - 2q^{10} - 4q^{11} + 8q^{14} - 4q^{15} - 8q^{16} + 10q^{19} + 4q^{21} + 2q^{22} - 4q^{23} + 8q^{24} + 10q^{25} + 12q^{26} + 12q^{30} + 6q^{31} + 4q^{33} + 8q^{35} + 16q^{36} + 14q^{37} - 12q^{38} + 12q^{39} + 2q^{40} - 32q^{41} + 6q^{42} + 4q^{44} + 12q^{45} - 18q^{46} - 24q^{47} - 6q^{49} - 6q^{51} + 8q^{54} + 14q^{55} + 4q^{56} - 2q^{60} - 28q^{61} + 8q^{62} + 6q^{63} - 16q^{64} - 72q^{65} - 4q^{66} - 16q^{67} - 30q^{70} - 56q^{71} + 44q^{73} - 24q^{74} - 12q^{75} + 20q^{76} - 52q^{77} + 30q^{79} - 12q^{80} - 8q^{81} - 12q^{82} - 8q^{83} + 8q^{84} - 12q^{86} - 2q^{88} - 36q^{89} - 4q^{90} - 8q^{91} - 8q^{92} + 4q^{93} - 14q^{94} - 72q^{95} - 8q^{96} + 40q^{98} - 8q^{99} + O(q^{100}) \)

Character values

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

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

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 0.291621 0.956534i \(-0.405805\pi\)
0.974193 + 0.225716i \(0.0724721\pi\)
\(6\) 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
\(11\) −2.54485 + 2.12691i −0.767302 + 0.641286i
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) −5.12518 −1.42147 −0.710734 0.703461i \(-0.751637\pi\)
−0.710734 + 0.703461i \(0.751637\pi\)
\(14\) 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 0.338257 + 0.941054i \(0.390163\pi\)
−0.984105 + 0.177587i \(0.943171\pi\)
\(18\) 0.866025 + 0.500000i 0.204124 + 0.117851i
\(19\) −2.13745 3.70217i −0.490364 0.849336i 0.509574 0.860427i \(-0.329803\pi\)
−0.999938 + 0.0110907i \(0.996470\pi\)
\(20\) 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 −0.997491 0.0707942i \(-0.977447\pi\)
0.437436 0.899250i \(-0.355887\pi\)
\(24\) 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 0.909889 0.414852i \(-0.136167\pi\)
0.0956723 + 0.995413i \(0.469500\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) −3.26736 + 0.569529i −0.568774 + 0.0991423i
\(34\) 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 0.765056 0.643964i \(-0.222711\pi\)
−0.940217 + 0.340576i \(0.889378\pi\)
\(38\) −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 \(-0.476374\pi\)
0.0741554 + 0.997247i \(0.476374\pi\)
\(42\) 2.54243 + 0.732142i 0.392306 + 0.112972i
\(43\) 6.20483i 0.946228i −0.881001 0.473114i \(-0.843130\pi\)
0.881001 0.473114i \(-0.156870\pi\)
\(44\) 0.569529 + 3.26736i 0.0858597 + 0.492573i
\(45\) 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 0.519965 0.854188i \(-0.325945\pi\)
0.999731 0.0232091i \(-0.00738833\pi\)
\(48\) 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 0.00948193 + 0.999955i \(0.496982\pi\)
−0.870727 + 0.491766i \(0.836352\pi\)
\(54\) 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 −0.999713 0.0239621i \(-0.992372\pi\)
−0.520608 0.853796i \(-0.674295\pi\)
\(60\) 1.63416 2.83045i 0.210969 0.365409i
\(61\) 2.67030 + 4.62509i 0.341897 + 0.592183i 0.984785 0.173778i \(-0.0555974\pi\)
−0.642888 + 0.765960i \(0.722264\pi\)
\(62\) 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
\(66\) −2.54485 + 2.12691i −0.313250 + 0.261804i
\(67\) −3.09675 + 5.36373i −0.378328 + 0.655284i −0.990819 0.135194i \(-0.956834\pi\)
0.612491 + 0.790478i \(0.290168\pi\)
\(68\) 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 −0.161045 0.986947i \(-0.551486\pi\)
0.935244 0.354005i \(-0.115180\pi\)
\(74\) −1.84544 1.06546i −0.214528 0.123858i
\(75\) 4.92067 2.84095i 0.568190 0.328045i
\(76\) −4.27490 −0.490364
\(77\) −8.02731 + 3.54433i −0.914797 + 0.403913i
\(78\) −5.12518 −0.580312
\(79\) 7.93887 4.58351i 0.893193 0.515685i 0.0182072 0.999834i \(-0.494204\pi\)
0.874985 + 0.484149i \(0.160871\pi\)
\(80\) −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 \(-0.485393\pi\)
0.0458731 + 0.998947i \(0.485393\pi\)
\(84\) 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
\(88\) 2.12691 + 2.54485i 0.226729 + 0.271282i
\(89\) −5.39021 + 3.11204i −0.571361 + 0.329875i −0.757693 0.652611i \(-0.773673\pi\)
0.186332 + 0.982487i \(0.440340\pi\)
\(90\) 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 \(0.0100908\pi\)
−0.999498 + 0.0316959i \(0.989909\pi\)
\(98\) 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 −0.326651 0.945145i \(-0.605920\pi\)
0.981845 0.189685i \(-0.0607466\pi\)
\(102\) −2.66290 + 4.61228i −0.263666 + 0.456683i
\(103\) 11.4421 6.60608i 1.12742 0.650916i 0.184135 0.982901i \(-0.441052\pi\)
0.943285 + 0.331985i \(0.107718\pi\)
\(104\) 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 \(-0.847107\pi\)
−0.0432576 + 0.999064i \(0.513774\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) 6.17596 + 3.56569i 0.591549 + 0.341531i 0.765710 0.643186i \(-0.222388\pi\)
−0.174161 + 0.984717i \(0.555721\pi\)
\(110\) 1.86140 + 10.6788i 0.177478 + 1.01818i
\(111\) 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
\(121\) 1.95254 10.8253i 0.177504 0.984120i
\(122\) 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 0.999850 + 0.0172935i \(0.00550496\pi\)
−0.484949 + 0.874543i \(0.661162\pi\)
\(132\) −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 −0.950976 0.309265i \(-0.899917\pi\)
0.743320 + 0.668936i \(0.233250\pi\)
\(138\) −2.68593 4.65217i −0.228642 0.396019i
\(139\) 16.7827 1.42349 0.711744 0.702439i \(-0.247906\pi\)
0.711744 + 0.702439i \(0.247906\pi\)
\(140\) 2.39287 8.30948i 0.202235 0.702279i
\(141\) 12.0303 1.01313
\(142\) −9.35838 + 5.40306i −0.785338 + 0.453415i
\(143\) 13.0428 10.9008i 1.09069 0.911568i
\(144\) 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 \(-0.762297\pi\)
0.221319 + 0.975201i \(0.428964\pi\)
\(150\) 2.84095 4.92067i 0.231963 0.401771i
\(151\) −4.22644 2.44014i −0.343943 0.198576i 0.318071 0.948067i \(-0.396965\pi\)
−0.662014 + 0.749491i \(0.730298\pi\)
\(152\) −3.70217 + 2.13745i −0.300286 + 0.173370i
\(153\) −5.32580 −0.430565
\(154\) −5.17969 + 7.08313i −0.417392 + 0.570775i
\(155\) 21.1292 1.69714
\(156\) −4.43853 + 2.56259i −0.355367 + 0.205171i
\(157\) −2.85996 1.65120i −0.228249 0.131780i 0.381515 0.924363i \(-0.375403\pi\)
−0.609764 + 0.792583i \(0.708736\pi\)
\(158\) 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 0.945170 0.326579i \(-0.105896\pi\)
−0.755411 + 0.655252i \(0.772563\pi\)
\(164\) 0.474826 0.822423i 0.0370777 0.0642205i
\(165\) −8.31739 + 6.95141i −0.647508 + 0.541166i
\(166\) 0.723865 0.417924i 0.0561828 0.0324372i
\(167\) 2.13922 0.165538 0.0827688 0.996569i \(-0.473624\pi\)
0.0827688 + 0.996569i \(0.473624\pi\)
\(168\) 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 0.976550 + 0.215290i \(0.0690697\pi\)
−0.301828 + 0.953362i \(0.597597\pi\)
\(174\) 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 −0.914881 0.403723i \(-0.867716\pi\)
0.807075 + 0.590449i \(0.201049\pi\)
\(180\) 2.83045 1.63416i 0.210969 0.121803i
\(181\) 10.9351i 0.812803i 0.913695 + 0.406401i \(0.133217\pi\)
−0.913695 + 0.406401i \(0.866783\pi\)
\(182\) −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
\(187\) −3.03320 17.4013i −0.221809 1.27251i
\(188\) 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 0.533368 0.845883i \(-0.320926\pi\)
−0.999240 + 0.0389690i \(0.987593\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) −5.23494 3.02239i −0.376819 0.217557i 0.299614 0.954060i \(-0.403142\pi\)
−0.676433 + 0.736504i \(0.736475\pi\)
\(194\) 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 \(-0.0706833\pi\)
\(198\) −3.26736 + 0.569529i −0.232201 + 0.0404747i
\(199\) −3.36231 1.94123i −0.238348 0.137610i 0.376069 0.926591i \(-0.377275\pi\)
−0.614417 + 0.788981i \(0.710609\pi\)
\(200\) −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
\(220\) 6.95141 + 8.31739i 0.468664 + 0.560758i
\(221\) 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 \(-0.941812\pi\)
0.983338 0.181788i \(-0.0581885\pi\)
\(224\) −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 \(-0.704609\pi\)
0.992904 + 0.118917i \(0.0379422\pi\)
\(228\) −3.70217 2.13745i −0.245182 0.141556i
\(229\) −5.56595 + 3.21350i −0.367808 + 0.212354i −0.672501 0.740097i \(-0.734780\pi\)
0.304692 + 0.952451i \(0.401446\pi\)
\(230\) −17.5569 −1.15767
\(231\) −8.72402 0.944181i −0.573998 0.0621225i
\(232\) 4.77874 0.313740
\(233\) 1.73972 1.00443i 0.113973 0.0658023i −0.441930 0.897050i \(-0.645706\pi\)
0.555903 + 0.831247i \(0.312373\pi\)
\(234\) −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 \(-0.894921\pi\)
0.753726 + 0.657189i \(0.228255\pi\)
\(242\) −3.72171 10.3513i −0.239241 0.665405i
\(243\) −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 \(-0.985358\pi\)
0.998942 0.0459822i \(-0.0146418\pi\)
\(252\) 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 0.428065 0.903748i \(-0.359195\pi\)
0.996701 + 0.0811588i \(0.0258621\pi\)
\(258\) 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 −0.966279 0.257497i \(-0.917102\pi\)
−0.706138 0.708074i \(-0.749564\pi\)
\(264\) 0.569529 + 3.26736i 0.0350521 + 0.201092i
\(265\) 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 0.578358 0.815783i \(-0.303694\pi\)
−0.417310 + 0.908764i \(0.637027\pi\)
\(270\) 2.83045 + 1.63416i 0.172256 + 0.0994518i
\(271\) −11.2246 19.4416i −0.681847 1.18099i −0.974417 0.224750i \(-0.927844\pi\)
0.292569 0.956244i \(-0.405490\pi\)
\(272\) 5.32580 0.322924
\(273\) −9.40850 9.76485i −0.569428 0.590995i
\(274\) 4.86111i 0.293670i
\(275\) 3.23601 + 18.5648i 0.195139 + 1.11950i
\(276\) −4.65217 2.68593i −0.280028 0.161674i
\(277\) −17.7724 10.2609i −1.06784 0.616518i −0.140250 0.990116i \(-0.544791\pi\)
−0.927591 + 0.373598i \(0.878124\pi\)
\(278\) 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 0.0399386 0.999202i \(-0.487284\pi\)
0.845365 0.534189i \(-0.179383\pi\)
\(284\) −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 \(-0.401804\pi\)
0.303621 + 0.952793i \(0.401804\pi\)
\(294\) 5.92794 + 3.72284i 0.345724 + 0.217121i
\(295\) −44.0712 −2.56593
\(296\) −1.84544 + 1.06546i −0.107264 + 0.0619289i
\(297\) −2.12691 2.54485i −0.123416 0.147667i
\(298\) −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 \(-0.512525\pi\)
−0.0393368 + 0.999226i \(0.512525\pi\)
\(308\) −0.944181 + 8.72402i −0.0537997 + 0.497097i
\(309\) 13.2122 0.751613
\(310\) 18.2984 10.5646i 1.03928 0.600029i
\(311\) 9.11149 + 5.26052i 0.516665 + 0.298297i 0.735569 0.677450i \(-0.236915\pi\)
−0.218904 + 0.975746i \(0.570248\pi\)
\(312\) −2.56259 + 4.43853i −0.145078 + 0.251282i
\(313\) 1.96323 1.13347i 0.110968 0.0640676i −0.443489 0.896280i \(-0.646259\pi\)
0.554457 + 0.832212i \(0.312926\pi\)
\(314\) −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 0.927034 0.374978i \(-0.122350\pi\)
−0.788257 + 0.615346i \(0.789016\pi\)
\(318\) −6.26996 + 10.8599i −0.351602 + 0.608993i
\(319\) −10.1639 12.1612i −0.569071 0.680895i
\(320\) −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 0.631398 0.775459i \(-0.282482\pi\)
−0.987266 + 0.159077i \(0.949148\pi\)
\(332\) 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
\(341\) −21.1230 + 3.68192i −1.14387 + 0.199387i
\(342\) 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 \(-0.0147701\pi\)
0.459291 + 0.888286i \(0.348103\pi\)
\(348\) 2.38937 + 4.13851i 0.128084 + 0.221847i
\(349\) 3.15342 0.168799 0.0843993 0.996432i \(-0.473103\pi\)
0.0843993 + 0.996432i \(0.473103\pi\)
\(350\) 4.15996 14.4459i 0.222359 0.772164i
\(351\) 5.12518i 0.273562i
\(352\) 3.26736 0.569529i 0.174151 0.0303560i
\(353\) −7.06177 4.07712i −0.375860 0.217003i 0.300155 0.953890i \(-0.402961\pi\)
−0.676016 + 0.736887i \(0.736295\pi\)
\(354\) −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 \(-0.747677\pi\)
0.265861 + 0.964011i \(0.414344\pi\)
\(360\) 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 0.339190 0.940718i \(-0.389847\pi\)
−0.645091 + 0.764106i \(0.723180\pi\)
\(368\) −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 \(-0.670596\pi\)
0.489272 + 0.872131i \(0.337262\pi\)
\(374\) −11.3275 13.5534i −0.585730 0.700828i
\(375\) 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 −0.204637 0.978838i \(-0.565601\pi\)
0.745380 + 0.666640i \(0.232268\pi\)
\(384\) −1.00000 −0.0510310
\(385\) −16.9289 + 23.1499i −0.862776 + 1.17983i
\(386\) −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 0.253975 + 0.967211i \(0.418262\pi\)
−0.964617 + 0.263656i \(0.915072\pi\)
\(390\) −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
\(396\) −2.54485 + 2.12691i −0.127884 + 0.106881i
\(397\) −26.1090 + 15.0741i −1.31038 + 0.756546i −0.982158 0.188057i \(-0.939781\pi\)
−0.328217 + 0.944602i \(0.606448\pi\)
\(398\) −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 0.903321 0.428965i \(-0.141122\pi\)
−0.823155 + 0.567817i \(0.807788\pi\)
\(402\) −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 0.0347647 + 0.999396i \(0.488932\pi\)
−0.882884 + 0.469591i \(0.844402\pi\)
\(410\) 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
\(418\) 13.9676 2.43468i 0.683179 0.119084i
\(419\) 12.7969i 0.625168i 0.949890 + 0.312584i \(0.101195\pi\)
−0.949890 + 0.312584i \(0.898805\pi\)
\(420\) 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
\(429\) 16.7458 2.91894i 0.808495 0.140928i
\(430\) −17.5624 10.1397i −0.846936 0.488979i
\(431\) 22.4488 + 12.9608i 1.08132 + 0.624302i 0.931253 0.364374i \(-0.118717\pi\)
0.150070 + 0.988675i \(0.452050\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 29.5108i 1.41820i −0.705110 0.709098i \(-0.749102\pi\)
0.705110 0.709098i \(-0.250898\pi\)
\(434\) 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 \(-0.254531\pi\)
−0.969512 + 0.245043i \(0.921198\pi\)
\(440\) 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 −0.991849 0.127420i \(-0.959330\pi\)
0.385575 0.922676i \(-0.374003\pi\)
\(444\) −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
\(451\) −2.41672 + 2.01982i −0.113799 + 0.0951097i
\(452\) 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 \(-0.726826\pi\)
0.328395 + 0.944540i \(0.393492\pi\)
\(458\) −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 \(-0.784981\pi\)
−0.780392 + 0.625290i \(0.784981\pi\)
\(462\) −8.02731 + 3.54433i −0.373464 + 0.164897i
\(463\) −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 −0.280743 0.959783i \(-0.590581\pi\)
0.690825 + 0.723022i \(0.257248\pi\)
\(468\) −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
\(473\) 13.1971 + 15.7904i 0.606803 + 0.726042i
\(474\) 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 \(-0.871210\pi\)
0.800546 + 0.599272i \(0.204543\pi\)
\(480\) −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 −0.248245 0.968697i \(-0.579854\pi\)
0.963039 0.269362i \(-0.0868128\pi\)
\(488\) 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
\(495\) −10.6788 + 1.86140i −0.479975 + 0.0836638i
\(496\) 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 0.933027 + 0.359805i \(0.117157\pi\)
−0.154913 + 0.987928i \(0.549510\pi\)
\(500\) −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 \(-0.521742\pi\)
−0.0682529 + 0.997668i \(0.521742\pi\)
\(504\) 2.56788 0.637163i 0.114383 0.0283815i
\(505\) 43.0413i 1.91531i
\(506\) 17.5518 3.05943i 0.780272 0.136008i
\(507\) 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 −0.933980 0.357325i \(-0.883689\pi\)
−0.157538 + 0.987513i \(0.550356\pi\)
\(510\) 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 0.429238 0.903191i \(-0.358782\pi\)
−0.567567 + 0.823327i \(0.692115\pi\)
\(522\) −2.38937 + 4.13851i −0.104580 + 0.181138i
\(523\) −11.9730 20.7378i −0.523542 0.906801i −0.999625 0.0274006i \(-0.991277\pi\)
0.476083 0.879401i \(-0.342056\pi\)
\(524\) 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
\(528\) 2.12691 + 2.54485i 0.0925617 + 0.110750i
\(529\) −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
\(539\) −23.0039 + 3.13408i −0.990846 + 0.134994i
\(540\) 3.26832 0.140646
\(541\) −37.2883 + 21.5284i −1.60315 + 0.925580i −0.612299 + 0.790626i \(0.709755\pi\)
−0.990852 + 0.134954i \(0.956911\pi\)
\(542\) −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
\(550\) 12.0849 + 14.4596i 0.515301 + 0.616560i
\(551\) 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 \(-0.497976\pi\)
−0.862829 + 0.505496i \(0.831309\pi\)
\(558\) 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 0.440620 + 0.897694i \(0.354759\pi\)
−0.997736 + 0.0672592i \(0.978575\pi\)
\(564\) 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 \(-0.491107\pi\)
0.879655 + 0.475612i \(0.157773\pi\)
\(570\) −12.0999 6.98586i −0.506808 0.292606i
\(571\) 37.6593 + 21.7426i 1.57599 + 0.909899i 0.995411 + 0.0956961i \(0.0305077\pi\)
0.580581 + 0.814203i \(0.302826\pi\)
\(572\) −2.91894 16.7458i −0.122047 0.700177i
\(573\) 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 0.908910 0.416992i \(-0.136916\pi\)
0.0933293 + 0.995635i \(0.470249\pi\)
\(578\) −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
\(583\) −7.14185 40.9724i −0.295785 1.69690i
\(584\) −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 \(-0.925294\pi\)
0.972585 0.232546i \(-0.0747055\pi\)
\(588\) 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 \(-0.271158\pi\)
−0.980984 + 0.194090i \(0.937824\pi\)
\(594\) −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 −0.947134 0.320837i \(-0.896036\pi\)
0.751420 + 0.659824i \(0.229369\pi\)
\(600\) −2.84095 4.92067i −0.115981 0.200886i
\(601\) 36.7398 1.49865 0.749324 0.662204i \(-0.230379\pi\)
0.749324 + 0.662204i \(0.230379\pi\)
\(602\) −3.95349 15.9333i −0.161132 0.649392i
\(603\) −6.19350 −0.252219
\(604\) −4.22644 + 2.44014i −0.171972 + 0.0992878i
\(605\) −12.1637 33.8313i −0.494526 1.37544i
\(606\) 6.58462 11.4049i 0.267482 0.463292i
\(607\) 20.2326 + 35.0438i 0.821215 + 1.42239i 0.904778 + 0.425883i \(0.140037\pi\)
−0.0835632 + 0.996502i \(0.526630\pi\)
\(608\) 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 \(-0.401171\pi\)
−0.671860 + 0.740678i \(0.734505\pi\)
\(614\) −1.19379 + 0.689237i −0.0481776 + 0.0278153i
\(615\) 3.10377 0.125156
\(616\) 3.54433 + 8.02731i 0.142805 + 0.323430i
\(617\) −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 0.997331 + 0.0730178i \(0.0232630\pi\)
0.561901 + 0.827205i \(0.310070\pi\)
\(620\) 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
\(627\) 9.09231 + 10.8790i 0.363112 + 0.434465i
\(628\) −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 −0.996539 0.0831289i \(-0.973509\pi\)
0.570261 + 0.821463i \(0.306842\pi\)
\(642\) −9.62104 + 5.55471i −0.379712 + 0.219227i
\(643\) 28.9651i 1.14227i −0.820855 0.571137i \(-0.806503\pi\)
0.820855 0.571137i \(-0.193497\pi\)
\(644\) −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 0.908175 0.418590i \(-0.137476\pi\)
0.0915779 + 0.995798i \(0.470809\pi\)
\(648\) 0.866025 + 0.500000i 0.0340207 + 0.0196419i
\(649\) 44.0583 7.67974i 1.72944 0.301456i
\(650\) 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 0.948628 + 0.316395i \(0.102472\pi\)
−0.200308 + 0.979733i \(0.564194\pi\)
\(654\) 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 \(-0.00130365\pi\)
\(660\) 1.86140 + 10.6788i 0.0724550 + 0.415671i
\(661\) 8.07735 + 4.66346i 0.314172 + 0.181388i 0.648792 0.760966i \(-0.275274\pi\)
−0.334620 + 0.942353i \(0.608608\pi\)
\(662\) −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 \(-0.247535\pi\)
−0.963892 + 0.266292i \(0.914202\pi\)
\(678\) 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
\(682\) −16.4521 + 13.7501i −0.629983 + 0.526520i
\(683\) 12.5854 21.7986i 0.481568 0.834101i −0.518208 0.855255i \(-0.673401\pi\)
0.999776 + 0.0211540i \(0.00673402\pi\)
\(684\) −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 −0.486889 0.873464i \(-0.661868\pi\)
0.512997 + 0.858390i \(0.328535\pi\)
\(692\) 17.7492 0.674722
\(693\) −7.08313 5.17969i −0.269066 0.196760i
\(694\) 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
\(704\) 2.54485 2.12691i 0.0959127 0.0801608i
\(705\) 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 −0.973654 0.228030i \(-0.926771\pi\)
0.289347 0.957224i \(-0.406562\pi\)
\(710\) −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 −0.710926 0.703267i \(-0.751724\pi\)
0.253584 + 0.967313i \(0.418390\pi\)
\(720\) 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
\(726\) 1.95254 10.8253i 0.0724655 0.401765i
\(727\) 8.58699i 0.318474i −0.987240 0.159237i \(-0.949097\pi\)
0.987240 0.159237i \(-0.0509033\pi\)
\(728\) −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 −0.926616 0.376010i \(-0.877296\pi\)
0.137674 0.990478i \(-0.456037\pi\)
\(734\) −6.76680 −0.249767
\(735\) 19.3744 + 12.1674i 0.714635 + 0.448803i
\(736\) 5.37186i 0.198009i
\(737\) −3.52738 20.2364i −0.129933 0.745417i
\(738\) 0.822423 + 0.474826i 0.0302738 + 0.0174786i
\(739\) −28.7537 16.6009i −1.05772 0.610675i −0.132920 0.991127i \(-0.542435\pi\)
−0.924801 + 0.380452i \(0.875769\pi\)
\(740\) −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 0.865337 0.501190i \(-0.167104\pi\)
−0.866712 + 0.498809i \(0.833771\pi\)
\(752\) −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
\(759\) 11.4254 + 13.6706i 0.414717 + 0.496211i
\(760\) −6.98586 + 12.0999i −0.253404 + 0.438908i
\(761\) −7.35142 12.7330i −0.266489 0.461572i 0.701464 0.712705i \(-0.252530\pi\)
−0.967953 + 0.251133i \(0.919197\pi\)
\(762\) 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 \(-0.541268\pi\)
−0.129286 + 0.991607i \(0.541268\pi\)
\(770\) −3.08588 + 28.5129i −0.111207 + 1.02753i
\(771\) 26.3742 0.949844
\(772\) −5.23494 + 3.02239i −0.188410 + 0.108778i
\(773\) −32.2256 18.6055i −1.15907 0.669192i −0.207992 0.978131i \(-0.566693\pi\)
−0.951082 + 0.308939i \(0.900026\pi\)
\(774\) 3.10242 5.37354i 0.111514 0.193148i
\(775\) 31.8114