Properties

Label 273.2.j.b.172.3
Level $273$
Weight $2$
Character 273.172
Analytic conductor $2.180$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + 1005 x^{6} - 544 x^{5} + 811 x^{4} - 312 x^{3} + 195 x^{2} + 13 x + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 172.3
Root \(-0.532778 + 0.922798i\) of defining polynomial
Character \(\chi\) \(=\) 273.172
Dual form 273.2.j.b.100.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.532778 + 0.922798i) q^{2} -1.00000 q^{3} +(0.432296 + 0.748758i) q^{4} +(1.19023 + 2.06154i) q^{5} +(0.532778 - 0.922798i) q^{6} +(2.58706 - 0.554165i) q^{7} -3.05238 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(-0.532778 + 0.922798i) q^{2} -1.00000 q^{3} +(0.432296 + 0.748758i) q^{4} +(1.19023 + 2.06154i) q^{5} +(0.532778 - 0.922798i) q^{6} +(2.58706 - 0.554165i) q^{7} -3.05238 q^{8} +1.00000 q^{9} -2.53651 q^{10} -0.666590 q^{11} +(-0.432296 - 0.748758i) q^{12} +(2.19926 + 2.85714i) q^{13} +(-0.866948 + 2.68258i) q^{14} +(-1.19023 - 2.06154i) q^{15} +(0.761650 - 1.31922i) q^{16} +(-0.707897 - 1.22611i) q^{17} +(-0.532778 + 0.922798i) q^{18} -3.56270 q^{19} +(-1.02906 + 1.78239i) q^{20} +(-2.58706 + 0.554165i) q^{21} +(0.355145 - 0.615128i) q^{22} +(-2.99126 + 5.18102i) q^{23} +3.05238 q^{24} +(-0.333295 + 0.577284i) q^{25} +(-3.80828 + 0.507250i) q^{26} -1.00000 q^{27} +(1.53331 + 1.69752i) q^{28} +(0.647747 + 1.12193i) q^{29} +2.53651 q^{30} +(-3.09078 + 5.35339i) q^{31} +(-2.24080 - 3.88118i) q^{32} +0.666590 q^{33} +1.50861 q^{34} +(4.22163 + 4.67375i) q^{35} +(0.432296 + 0.748758i) q^{36} +(3.94868 - 6.83932i) q^{37} +(1.89813 - 3.28765i) q^{38} +(-2.19926 - 2.85714i) q^{39} +(-3.63304 - 6.29260i) q^{40} +(5.26293 + 9.11566i) q^{41} +(0.866948 - 2.68258i) q^{42} +(5.22034 - 9.04190i) q^{43} +(-0.288164 - 0.499115i) q^{44} +(1.19023 + 2.06154i) q^{45} +(-3.18736 - 5.52067i) q^{46} +(-5.54746 - 9.60848i) q^{47} +(-0.761650 + 1.31922i) q^{48} +(6.38580 - 2.86732i) q^{49} +(-0.355145 - 0.615128i) q^{50} +(0.707897 + 1.22611i) q^{51} +(-1.18858 + 2.88184i) q^{52} +(3.39224 - 5.87554i) q^{53} +(0.532778 - 0.922798i) q^{54} +(-0.793396 - 1.37420i) q^{55} +(-7.89671 + 1.69152i) q^{56} +3.56270 q^{57} -1.38042 q^{58} +(2.57641 + 4.46248i) q^{59} +(1.02906 - 1.78239i) q^{60} +4.83755 q^{61} +(-3.29340 - 5.70433i) q^{62} +(2.58706 - 0.554165i) q^{63} +7.82199 q^{64} +(-3.27249 + 7.93451i) q^{65} +(-0.355145 + 0.615128i) q^{66} +5.57265 q^{67} +(0.612042 - 1.06009i) q^{68} +(2.99126 - 5.18102i) q^{69} +(-6.56212 + 1.40565i) q^{70} +(6.01988 - 10.4267i) q^{71} -3.05238 q^{72} +(-4.05962 + 7.03147i) q^{73} +(4.20754 + 7.28767i) q^{74} +(0.333295 - 0.577284i) q^{75} +(-1.54014 - 2.66760i) q^{76} +(-1.72451 + 0.369401i) q^{77} +(3.80828 - 0.507250i) q^{78} +(-2.00333 - 3.46986i) q^{79} +3.62615 q^{80} +1.00000 q^{81} -11.2159 q^{82} +8.44505 q^{83} +(-1.53331 - 1.69752i) q^{84} +(1.68512 - 2.91872i) q^{85} +(5.56257 + 9.63465i) q^{86} +(-0.647747 - 1.12193i) q^{87} +2.03469 q^{88} +(-0.910778 + 1.57751i) q^{89} -2.53651 q^{90} +(7.27295 + 6.17286i) q^{91} -5.17244 q^{92} +(3.09078 - 5.35339i) q^{93} +11.8222 q^{94} +(-4.24043 - 7.34465i) q^{95} +(2.24080 + 3.88118i) q^{96} +(-7.88484 + 13.6569i) q^{97} +(-0.756256 + 7.42045i) q^{98} -0.666590 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + O(q^{10}) \) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + 8q^{10} + 4q^{11} + 6q^{12} + 5q^{13} - 7q^{14} - 6q^{16} - 2q^{17} + 22q^{19} - 20q^{20} - q^{21} + 7q^{22} + 4q^{23} - 12q^{24} + 2q^{25} - 6q^{26} - 16q^{27} - 7q^{28} + 15q^{29} - 8q^{30} + 3q^{31} + 3q^{32} - 4q^{33} - 68q^{34} - 12q^{35} - 6q^{36} + 4q^{37} + 2q^{38} - 5q^{39} - 25q^{40} + 19q^{41} + 7q^{42} + 11q^{43} - 16q^{44} + 2q^{46} + 5q^{47} + 6q^{48} + 13q^{49} - 7q^{50} + 2q^{51} + 36q^{52} + 36q^{53} - 15q^{55} + 39q^{56} - 22q^{57} - 40q^{58} - 17q^{59} + 20q^{60} + 44q^{61} - 6q^{62} + q^{63} - 20q^{64} - 21q^{65} - 7q^{66} - 52q^{67} + 5q^{68} - 4q^{69} + 46q^{70} + 9q^{71} + 12q^{72} - 6q^{73} + 15q^{74} - 2q^{75} - 16q^{76} - 36q^{77} + 6q^{78} + 16q^{79} + 56q^{80} + 16q^{81} + 2q^{82} + 36q^{83} + 7q^{84} - 4q^{85} + 16q^{86} - 15q^{87} - 48q^{88} + 20q^{89} + 8q^{90} - 7q^{91} - 94q^{92} - 3q^{93} + 40q^{94} - 3q^{96} + 7q^{97} - 3q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.532778 + 0.922798i −0.376731 + 0.652517i −0.990584 0.136903i \(-0.956285\pi\)
0.613854 + 0.789420i \(0.289618\pi\)
\(3\) −1.00000 −0.577350
\(4\) 0.432296 + 0.748758i 0.216148 + 0.374379i
\(5\) 1.19023 + 2.06154i 0.532287 + 0.921948i 0.999289 + 0.0376922i \(0.0120006\pi\)
−0.467002 + 0.884256i \(0.654666\pi\)
\(6\) 0.532778 0.922798i 0.217506 0.376731i
\(7\) 2.58706 0.554165i 0.977818 0.209455i
\(8\) −3.05238 −1.07918
\(9\) 1.00000 0.333333
\(10\) −2.53651 −0.802116
\(11\) −0.666590 −0.200985 −0.100492 0.994938i \(-0.532042\pi\)
−0.100492 + 0.994938i \(0.532042\pi\)
\(12\) −0.432296 0.748758i −0.124793 0.216148i
\(13\) 2.19926 + 2.85714i 0.609965 + 0.792429i
\(14\) −0.866948 + 2.68258i −0.231702 + 0.716951i
\(15\) −1.19023 2.06154i −0.307316 0.532287i
\(16\) 0.761650 1.31922i 0.190412 0.329804i
\(17\) −0.707897 1.22611i −0.171690 0.297376i 0.767321 0.641264i \(-0.221590\pi\)
−0.939011 + 0.343887i \(0.888256\pi\)
\(18\) −0.532778 + 0.922798i −0.125577 + 0.217506i
\(19\) −3.56270 −0.817339 −0.408670 0.912682i \(-0.634007\pi\)
−0.408670 + 0.912682i \(0.634007\pi\)
\(20\) −1.02906 + 1.78239i −0.230105 + 0.398554i
\(21\) −2.58706 + 0.554165i −0.564544 + 0.120929i
\(22\) 0.355145 0.615128i 0.0757171 0.131146i
\(23\) −2.99126 + 5.18102i −0.623722 + 1.08032i 0.365065 + 0.930982i \(0.381047\pi\)
−0.988787 + 0.149336i \(0.952287\pi\)
\(24\) 3.05238 0.623065
\(25\) −0.333295 + 0.577284i −0.0666590 + 0.115457i
\(26\) −3.80828 + 0.507250i −0.746865 + 0.0994799i
\(27\) −1.00000 −0.192450
\(28\) 1.53331 + 1.69752i 0.289769 + 0.320802i
\(29\) 0.647747 + 1.12193i 0.120284 + 0.208337i 0.919879 0.392201i \(-0.128286\pi\)
−0.799596 + 0.600538i \(0.794953\pi\)
\(30\) 2.53651 0.463102
\(31\) −3.09078 + 5.35339i −0.555120 + 0.961497i 0.442774 + 0.896633i \(0.353994\pi\)
−0.997894 + 0.0648633i \(0.979339\pi\)
\(32\) −2.24080 3.88118i −0.396121 0.686102i
\(33\) 0.666590 0.116038
\(34\) 1.50861 0.258724
\(35\) 4.22163 + 4.67375i 0.713586 + 0.790008i
\(36\) 0.432296 + 0.748758i 0.0720493 + 0.124793i
\(37\) 3.94868 6.83932i 0.649159 1.12438i −0.334165 0.942515i \(-0.608454\pi\)
0.983324 0.181862i \(-0.0582124\pi\)
\(38\) 1.89813 3.28765i 0.307917 0.533328i
\(39\) −2.19926 2.85714i −0.352163 0.457509i
\(40\) −3.63304 6.29260i −0.574433 0.994948i
\(41\) 5.26293 + 9.11566i 0.821931 + 1.42363i 0.904242 + 0.427020i \(0.140437\pi\)
−0.0823113 + 0.996607i \(0.526230\pi\)
\(42\) 0.866948 2.68258i 0.133773 0.413932i
\(43\) 5.22034 9.04190i 0.796095 1.37888i −0.126047 0.992024i \(-0.540229\pi\)
0.922142 0.386853i \(-0.126438\pi\)
\(44\) −0.288164 0.499115i −0.0434424 0.0752444i
\(45\) 1.19023 + 2.06154i 0.177429 + 0.307316i
\(46\) −3.18736 5.52067i −0.469950 0.813978i
\(47\) −5.54746 9.60848i −0.809180 1.40154i −0.913433 0.406990i \(-0.866578\pi\)
0.104253 0.994551i \(-0.466755\pi\)
\(48\) −0.761650 + 1.31922i −0.109935 + 0.190412i
\(49\) 6.38580 2.86732i 0.912258 0.409617i
\(50\) −0.355145 0.615128i −0.0502250 0.0869923i
\(51\) 0.707897 + 1.22611i 0.0991255 + 0.171690i
\(52\) −1.18858 + 2.88184i −0.164826 + 0.399640i
\(53\) 3.39224 5.87554i 0.465961 0.807067i −0.533284 0.845936i \(-0.679042\pi\)
0.999244 + 0.0388691i \(0.0123755\pi\)
\(54\) 0.532778 0.922798i 0.0725019 0.125577i
\(55\) −0.793396 1.37420i −0.106981 0.185297i
\(56\) −7.89671 + 1.69152i −1.05524 + 0.226039i
\(57\) 3.56270 0.471891
\(58\) −1.38042 −0.181258
\(59\) 2.57641 + 4.46248i 0.335420 + 0.580965i 0.983565 0.180552i \(-0.0577884\pi\)
−0.648145 + 0.761517i \(0.724455\pi\)
\(60\) 1.02906 1.78239i 0.132851 0.230105i
\(61\) 4.83755 0.619385 0.309692 0.950837i \(-0.399774\pi\)
0.309692 + 0.950837i \(0.399774\pi\)
\(62\) −3.29340 5.70433i −0.418262 0.724451i
\(63\) 2.58706 0.554165i 0.325939 0.0698182i
\(64\) 7.82199 0.977749
\(65\) −3.27249 + 7.93451i −0.405902 + 0.984155i
\(66\) −0.355145 + 0.615128i −0.0437153 + 0.0757171i
\(67\) 5.57265 0.680808 0.340404 0.940279i \(-0.389436\pi\)
0.340404 + 0.940279i \(0.389436\pi\)
\(68\) 0.612042 1.06009i 0.0742210 0.128555i
\(69\) 2.99126 5.18102i 0.360106 0.623722i
\(70\) −6.56212 + 1.40565i −0.784323 + 0.168007i
\(71\) 6.01988 10.4267i 0.714428 1.23743i −0.248752 0.968567i \(-0.580020\pi\)
0.963180 0.268858i \(-0.0866463\pi\)
\(72\) −3.05238 −0.359727
\(73\) −4.05962 + 7.03147i −0.475143 + 0.822971i −0.999595 0.0284689i \(-0.990937\pi\)
0.524452 + 0.851440i \(0.324270\pi\)
\(74\) 4.20754 + 7.28767i 0.489116 + 0.847175i
\(75\) 0.333295 0.577284i 0.0384856 0.0666590i
\(76\) −1.54014 2.66760i −0.176666 0.305995i
\(77\) −1.72451 + 0.369401i −0.196526 + 0.0420971i
\(78\) 3.80828 0.507250i 0.431203 0.0574348i
\(79\) −2.00333 3.46986i −0.225392 0.390390i 0.731045 0.682329i \(-0.239033\pi\)
−0.956437 + 0.291939i \(0.905700\pi\)
\(80\) 3.62615 0.405416
\(81\) 1.00000 0.111111
\(82\) −11.2159 −1.23859
\(83\) 8.44505 0.926965 0.463483 0.886106i \(-0.346600\pi\)
0.463483 + 0.886106i \(0.346600\pi\)
\(84\) −1.53331 1.69752i −0.167298 0.185215i
\(85\) 1.68512 2.91872i 0.182777 0.316579i
\(86\) 5.56257 + 9.63465i 0.599827 + 1.03893i
\(87\) −0.647747 1.12193i −0.0694458 0.120284i
\(88\) 2.03469 0.216898
\(89\) −0.910778 + 1.57751i −0.0965423 + 0.167216i −0.910251 0.414056i \(-0.864112\pi\)
0.813709 + 0.581273i \(0.197445\pi\)
\(90\) −2.53651 −0.267372
\(91\) 7.27295 + 6.17286i 0.762412 + 0.647091i
\(92\) −5.17244 −0.539264
\(93\) 3.09078 5.35339i 0.320499 0.555120i
\(94\) 11.8222 1.21937
\(95\) −4.24043 7.34465i −0.435059 0.753545i
\(96\) 2.24080 + 3.88118i 0.228701 + 0.396121i
\(97\) −7.88484 + 13.6569i −0.800584 + 1.38665i 0.118648 + 0.992936i \(0.462144\pi\)
−0.919232 + 0.393716i \(0.871189\pi\)
\(98\) −0.756256 + 7.42045i −0.0763934 + 0.749579i
\(99\) −0.666590 −0.0669949
\(100\) −0.576328 −0.0576328
\(101\) 8.97058 0.892606 0.446303 0.894882i \(-0.352740\pi\)
0.446303 + 0.894882i \(0.352740\pi\)
\(102\) −1.50861 −0.149374
\(103\) −1.58796 2.75042i −0.156466 0.271007i 0.777126 0.629345i \(-0.216677\pi\)
−0.933592 + 0.358338i \(0.883344\pi\)
\(104\) −6.71298 8.72109i −0.658261 0.855173i
\(105\) −4.22163 4.67375i −0.411989 0.456111i
\(106\) 3.61462 + 6.26071i 0.351083 + 0.608094i
\(107\) 2.50268 4.33476i 0.241943 0.419057i −0.719325 0.694674i \(-0.755549\pi\)
0.961268 + 0.275617i \(0.0888820\pi\)
\(108\) −0.432296 0.748758i −0.0415977 0.0720493i
\(109\) −8.29305 + 14.3640i −0.794330 + 1.37582i 0.128934 + 0.991653i \(0.458844\pi\)
−0.923264 + 0.384167i \(0.874489\pi\)
\(110\) 1.69081 0.161213
\(111\) −3.94868 + 6.83932i −0.374792 + 0.649159i
\(112\) 1.23937 3.83497i 0.117110 0.362371i
\(113\) 3.57465 6.19148i 0.336275 0.582446i −0.647454 0.762105i \(-0.724166\pi\)
0.983729 + 0.179659i \(0.0574994\pi\)
\(114\) −1.89813 + 3.28765i −0.177776 + 0.307917i
\(115\) −14.2412 −1.32800
\(116\) −0.560037 + 0.970012i −0.0519981 + 0.0900633i
\(117\) 2.19926 + 2.85714i 0.203322 + 0.264143i
\(118\) −5.49062 −0.505453
\(119\) −2.51085 2.77974i −0.230169 0.254819i
\(120\) 3.63304 + 6.29260i 0.331649 + 0.574433i
\(121\) −10.5557 −0.959605
\(122\) −2.57734 + 4.46408i −0.233341 + 0.404159i
\(123\) −5.26293 9.11566i −0.474542 0.821931i
\(124\) −5.34452 −0.479952
\(125\) 10.3155 0.922647
\(126\) −0.866948 + 2.68258i −0.0772339 + 0.238984i
\(127\) −5.70435 9.88023i −0.506179 0.876728i −0.999974 0.00715012i \(-0.997724\pi\)
0.493795 0.869578i \(-0.335609\pi\)
\(128\) 0.314218 0.544241i 0.0277732 0.0481046i
\(129\) −5.22034 + 9.04190i −0.459626 + 0.796095i
\(130\) −5.57845 7.24718i −0.489262 0.635619i
\(131\) −4.30754 7.46087i −0.376351 0.651860i 0.614177 0.789168i \(-0.289488\pi\)
−0.990528 + 0.137309i \(0.956155\pi\)
\(132\) 0.288164 + 0.499115i 0.0250815 + 0.0434424i
\(133\) −9.21693 + 1.97432i −0.799210 + 0.171196i
\(134\) −2.96898 + 5.14243i −0.256481 + 0.444239i
\(135\) −1.19023 2.06154i −0.102439 0.177429i
\(136\) 2.16077 + 3.74257i 0.185285 + 0.320923i
\(137\) −4.17738 7.23544i −0.356898 0.618165i 0.630543 0.776154i \(-0.282832\pi\)
−0.987441 + 0.157989i \(0.949499\pi\)
\(138\) 3.18736 + 5.52067i 0.271326 + 0.469950i
\(139\) 4.82663 8.35996i 0.409389 0.709083i −0.585432 0.810721i \(-0.699075\pi\)
0.994821 + 0.101638i \(0.0324085\pi\)
\(140\) −1.67451 + 5.18142i −0.141522 + 0.437910i
\(141\) 5.54746 + 9.60848i 0.467180 + 0.809180i
\(142\) 6.41451 + 11.1103i 0.538294 + 0.932352i
\(143\) −1.46600 1.90454i −0.122593 0.159266i
\(144\) 0.761650 1.31922i 0.0634708 0.109935i
\(145\) −1.54194 + 2.67071i −0.128051 + 0.221791i
\(146\) −4.32575 7.49242i −0.358002 0.620077i
\(147\) −6.38580 + 2.86732i −0.526692 + 0.236493i
\(148\) 6.82799 0.561257
\(149\) 13.2608 1.08637 0.543183 0.839614i \(-0.317219\pi\)
0.543183 + 0.839614i \(0.317219\pi\)
\(150\) 0.355145 + 0.615128i 0.0289974 + 0.0502250i
\(151\) −8.22189 + 14.2407i −0.669088 + 1.15889i 0.309072 + 0.951039i \(0.399982\pi\)
−0.978160 + 0.207855i \(0.933352\pi\)
\(152\) 10.8747 0.882056
\(153\) −0.707897 1.22611i −0.0572301 0.0991255i
\(154\) 0.577899 1.78819i 0.0465684 0.144096i
\(155\) −14.7150 −1.18193
\(156\) 1.18858 2.88184i 0.0951624 0.230732i
\(157\) 9.15038 15.8489i 0.730279 1.26488i −0.226484 0.974015i \(-0.572723\pi\)
0.956764 0.290866i \(-0.0939435\pi\)
\(158\) 4.26931 0.339648
\(159\) −3.39224 + 5.87554i −0.269022 + 0.465961i
\(160\) 5.33414 9.23900i 0.421701 0.730407i
\(161\) −4.86745 + 15.0613i −0.383609 + 1.18700i
\(162\) −0.532778 + 0.922798i −0.0418590 + 0.0725019i
\(163\) 6.78823 0.531695 0.265847 0.964015i \(-0.414348\pi\)
0.265847 + 0.964015i \(0.414348\pi\)
\(164\) −4.55028 + 7.88132i −0.355317 + 0.615428i
\(165\) 0.793396 + 1.37420i 0.0617658 + 0.106981i
\(166\) −4.49934 + 7.79308i −0.349216 + 0.604860i
\(167\) 0.826837 + 1.43212i 0.0639826 + 0.110821i 0.896242 0.443565i \(-0.146286\pi\)
−0.832260 + 0.554386i \(0.812953\pi\)
\(168\) 7.89671 1.69152i 0.609244 0.130504i
\(169\) −3.32652 + 12.5672i −0.255886 + 0.966707i
\(170\) 1.79559 + 3.11005i 0.137716 + 0.238530i
\(171\) −3.56270 −0.272446
\(172\) 9.02693 0.688297
\(173\) −11.9879 −0.911421 −0.455711 0.890128i \(-0.650615\pi\)
−0.455711 + 0.890128i \(0.650615\pi\)
\(174\) 1.38042 0.104649
\(175\) −0.542345 + 1.67817i −0.0409975 + 0.126858i
\(176\) −0.507708 + 0.879376i −0.0382699 + 0.0662855i
\(177\) −2.57641 4.46248i −0.193655 0.335420i
\(178\) −0.970485 1.68093i −0.0727409 0.125991i
\(179\) −2.67017 −0.199578 −0.0997888 0.995009i \(-0.531817\pi\)
−0.0997888 + 0.995009i \(0.531817\pi\)
\(180\) −1.02906 + 1.78239i −0.0767018 + 0.132851i
\(181\) −0.752089 −0.0559024 −0.0279512 0.999609i \(-0.508898\pi\)
−0.0279512 + 0.999609i \(0.508898\pi\)
\(182\) −9.57117 + 3.42270i −0.709462 + 0.253708i
\(183\) −4.83755 −0.357602
\(184\) 9.13048 15.8145i 0.673108 1.16586i
\(185\) 18.7994 1.38216
\(186\) 3.29340 + 5.70433i 0.241484 + 0.418262i
\(187\) 0.471878 + 0.817316i 0.0345071 + 0.0597681i
\(188\) 4.79628 8.30741i 0.349805 0.605880i
\(189\) −2.58706 + 0.554165i −0.188181 + 0.0403096i
\(190\) 9.03683 0.655601
\(191\) 5.15813 0.373229 0.186615 0.982433i \(-0.440248\pi\)
0.186615 + 0.982433i \(0.440248\pi\)
\(192\) −7.82199 −0.564504
\(193\) 2.84627 0.204879 0.102439 0.994739i \(-0.467335\pi\)
0.102439 + 0.994739i \(0.467335\pi\)
\(194\) −8.40173 14.5522i −0.603209 1.04479i
\(195\) 3.27249 7.93451i 0.234348 0.568202i
\(196\) 4.90748 + 3.54189i 0.350535 + 0.252992i
\(197\) −0.483548 0.837530i −0.0344514 0.0596716i 0.848286 0.529539i \(-0.177635\pi\)
−0.882737 + 0.469867i \(0.844302\pi\)
\(198\) 0.355145 0.615128i 0.0252390 0.0437153i
\(199\) −4.69085 8.12478i −0.332525 0.575951i 0.650481 0.759522i \(-0.274567\pi\)
−0.983006 + 0.183572i \(0.941234\pi\)
\(200\) 1.01734 1.76209i 0.0719371 0.124599i
\(201\) −5.57265 −0.393065
\(202\) −4.77933 + 8.27804i −0.336272 + 0.582441i
\(203\) 2.29750 + 2.54355i 0.161253 + 0.178522i
\(204\) −0.612042 + 1.06009i −0.0428515 + 0.0742210i
\(205\) −12.5282 + 21.6995i −0.875007 + 1.51556i
\(206\) 3.38411 0.235782
\(207\) −2.99126 + 5.18102i −0.207907 + 0.360106i
\(208\) 5.44425 0.725155i 0.377491 0.0502805i
\(209\) 2.37486 0.164273
\(210\) 6.56212 1.40565i 0.452829 0.0969988i
\(211\) 10.3756 + 17.9711i 0.714288 + 1.23718i 0.963233 + 0.268666i \(0.0865827\pi\)
−0.248945 + 0.968518i \(0.580084\pi\)
\(212\) 5.86581 0.402865
\(213\) −6.01988 + 10.4267i −0.412475 + 0.714428i
\(214\) 2.66674 + 4.61893i 0.182295 + 0.315744i
\(215\) 24.8536 1.69500
\(216\) 3.05238 0.207688
\(217\) −5.02939 + 15.5624i −0.341417 + 1.05644i
\(218\) −8.83670 15.3056i −0.598497 1.03663i
\(219\) 4.05962 7.03147i 0.274324 0.475143i
\(220\) 0.685963 1.18812i 0.0462476 0.0801032i
\(221\) 1.94633 4.71911i 0.130925 0.317441i
\(222\) −4.20754 7.28767i −0.282392 0.489116i
\(223\) −4.05504 7.02354i −0.271546 0.470331i 0.697712 0.716378i \(-0.254201\pi\)
−0.969258 + 0.246047i \(0.920868\pi\)
\(224\) −7.94791 8.79909i −0.531042 0.587914i
\(225\) −0.333295 + 0.577284i −0.0222197 + 0.0384856i
\(226\) 3.80899 + 6.59737i 0.253370 + 0.438850i
\(227\) −1.09865 1.90291i −0.0729197 0.126301i 0.827260 0.561819i \(-0.189898\pi\)
−0.900180 + 0.435519i \(0.856565\pi\)
\(228\) 1.54014 + 2.66760i 0.101998 + 0.176666i
\(229\) −10.1545 17.5882i −0.671030 1.16226i −0.977612 0.210414i \(-0.932519\pi\)
0.306582 0.951844i \(-0.400815\pi\)
\(230\) 7.58738 13.1417i 0.500297 0.866540i
\(231\) 1.72451 0.369401i 0.113465 0.0243048i
\(232\) −1.97717 3.42456i −0.129808 0.224833i
\(233\) −10.7709 18.6557i −0.705624 1.22218i −0.966466 0.256795i \(-0.917333\pi\)
0.260842 0.965382i \(-0.416000\pi\)
\(234\) −3.80828 + 0.507250i −0.248955 + 0.0331600i
\(235\) 13.2055 22.8726i 0.861432 1.49204i
\(236\) −2.22754 + 3.85822i −0.145001 + 0.251149i
\(237\) 2.00333 + 3.46986i 0.130130 + 0.225392i
\(238\) 3.90287 0.836018i 0.252985 0.0541910i
\(239\) −17.3697 −1.12355 −0.561775 0.827290i \(-0.689881\pi\)
−0.561775 + 0.827290i \(0.689881\pi\)
\(240\) −3.62615 −0.234067
\(241\) 5.25156 + 9.09597i 0.338283 + 0.585923i 0.984110 0.177561i \(-0.0568206\pi\)
−0.645827 + 0.763484i \(0.723487\pi\)
\(242\) 5.62382 9.74074i 0.361513 0.626159i
\(243\) −1.00000 −0.0641500
\(244\) 2.09125 + 3.62216i 0.133879 + 0.231885i
\(245\) 13.5117 + 9.75181i 0.863229 + 0.623020i
\(246\) 11.2159 0.715098
\(247\) −7.83530 10.1791i −0.498548 0.647683i
\(248\) 9.43424 16.3406i 0.599075 1.03763i
\(249\) −8.44505 −0.535184
\(250\) −5.49587 + 9.51913i −0.347590 + 0.602043i
\(251\) −0.706938 + 1.22445i −0.0446215 + 0.0772867i −0.887474 0.460859i \(-0.847542\pi\)
0.842852 + 0.538145i \(0.180875\pi\)
\(252\) 1.53331 + 1.69752i 0.0965896 + 0.106934i
\(253\) 1.99395 3.45362i 0.125358 0.217127i
\(254\) 12.1566 0.762773
\(255\) −1.68512 + 2.91872i −0.105526 + 0.182777i
\(256\) 8.15681 + 14.1280i 0.509801 + 0.883001i
\(257\) 6.87362 11.9055i 0.428765 0.742642i −0.567999 0.823029i \(-0.692282\pi\)
0.996764 + 0.0803871i \(0.0256156\pi\)
\(258\) −5.56257 9.63465i −0.346310 0.599827i
\(259\) 6.42538 19.8820i 0.399254 1.23541i
\(260\) −7.35571 + 0.979756i −0.456182 + 0.0607619i
\(261\) 0.647747 + 1.12193i 0.0400945 + 0.0694458i
\(262\) 9.17984 0.567133
\(263\) 7.97741 0.491908 0.245954 0.969281i \(-0.420899\pi\)
0.245954 + 0.969281i \(0.420899\pi\)
\(264\) −2.03469 −0.125226
\(265\) 16.1502 0.992099
\(266\) 3.08868 9.55725i 0.189379 0.585992i
\(267\) 0.910778 1.57751i 0.0557387 0.0965423i
\(268\) 2.40903 + 4.17257i 0.147155 + 0.254880i
\(269\) −13.8192 23.9355i −0.842569 1.45937i −0.887716 0.460392i \(-0.847709\pi\)
0.0451470 0.998980i \(-0.485624\pi\)
\(270\) 2.53651 0.154367
\(271\) −5.15953 + 8.93656i −0.313419 + 0.542857i −0.979100 0.203379i \(-0.934808\pi\)
0.665681 + 0.746236i \(0.268141\pi\)
\(272\) −2.15668 −0.130768
\(273\) −7.27295 6.17286i −0.440179 0.373598i
\(274\) 8.90247 0.537818
\(275\) 0.222171 0.384812i 0.0133974 0.0232050i
\(276\) 5.17244 0.311344
\(277\) 1.07784 + 1.86687i 0.0647611 + 0.112170i 0.896588 0.442866i \(-0.146038\pi\)
−0.831827 + 0.555035i \(0.812705\pi\)
\(278\) 5.14304 + 8.90801i 0.308459 + 0.534267i
\(279\) −3.09078 + 5.35339i −0.185040 + 0.320499i
\(280\) −12.8860 14.2661i −0.770088 0.852561i
\(281\) −2.60596 −0.155458 −0.0777292 0.996975i \(-0.524767\pi\)
−0.0777292 + 0.996975i \(0.524767\pi\)
\(282\) −11.8222 −0.704005
\(283\) 1.73242 0.102982 0.0514909 0.998673i \(-0.483603\pi\)
0.0514909 + 0.998673i \(0.483603\pi\)
\(284\) 10.4095 0.617688
\(285\) 4.24043 + 7.34465i 0.251182 + 0.435059i
\(286\) 2.53856 0.338128i 0.150108 0.0199939i
\(287\) 18.6671 + 20.6663i 1.10188 + 1.21989i
\(288\) −2.24080 3.88118i −0.132040 0.228701i
\(289\) 7.49776 12.9865i 0.441045 0.763912i
\(290\) −1.64302 2.84579i −0.0964814 0.167111i
\(291\) 7.88484 13.6569i 0.462217 0.800584i
\(292\) −7.01982 −0.410804
\(293\) −16.4196 + 28.4396i −0.959243 + 1.66146i −0.234898 + 0.972020i \(0.575476\pi\)
−0.724345 + 0.689438i \(0.757858\pi\)
\(294\) 0.756256 7.42045i 0.0441057 0.432770i
\(295\) −6.13305 + 10.6227i −0.357080 + 0.618480i
\(296\) −12.0529 + 20.8762i −0.700559 + 1.21340i
\(297\) 0.666590 0.0386795
\(298\) −7.06506 + 12.2370i −0.409268 + 0.708873i
\(299\) −21.3815 + 2.84794i −1.23652 + 0.164701i
\(300\) 0.576328 0.0332743
\(301\) 8.49466 26.2849i 0.489624 1.51504i
\(302\) −8.76088 15.1743i −0.504132 0.873182i
\(303\) −8.97058 −0.515346
\(304\) −2.71353 + 4.69997i −0.155632 + 0.269562i
\(305\) 5.75780 + 9.97280i 0.329691 + 0.571041i
\(306\) 1.50861 0.0862414
\(307\) −29.4618 −1.68147 −0.840737 0.541444i \(-0.817878\pi\)
−0.840737 + 0.541444i \(0.817878\pi\)
\(308\) −1.02209 1.13155i −0.0582390 0.0644762i
\(309\) 1.58796 + 2.75042i 0.0903358 + 0.156466i
\(310\) 7.83980 13.5789i 0.445271 0.771232i
\(311\) −3.53099 + 6.11585i −0.200224 + 0.346798i −0.948601 0.316476i \(-0.897500\pi\)
0.748377 + 0.663274i \(0.230834\pi\)
\(312\) 6.71298 + 8.72109i 0.380047 + 0.493734i
\(313\) 8.17883 + 14.1661i 0.462295 + 0.800718i 0.999075 0.0430043i \(-0.0136929\pi\)
−0.536780 + 0.843722i \(0.680360\pi\)
\(314\) 9.75023 + 16.8879i 0.550237 + 0.953039i
\(315\) 4.22163 + 4.67375i 0.237862 + 0.263336i
\(316\) 1.73206 3.00001i 0.0974359 0.168764i
\(317\) −9.48109 16.4217i −0.532511 0.922337i −0.999279 0.0379568i \(-0.987915\pi\)
0.466768 0.884380i \(-0.345418\pi\)
\(318\) −3.61462 6.26071i −0.202698 0.351083i
\(319\) −0.431782 0.747868i −0.0241751 0.0418726i
\(320\) 9.30997 + 16.1253i 0.520443 + 0.901434i
\(321\) −2.50268 + 4.33476i −0.139686 + 0.241943i
\(322\) −11.3053 12.5160i −0.630017 0.697489i
\(323\) 2.52203 + 4.36828i 0.140329 + 0.243057i
\(324\) 0.432296 + 0.748758i 0.0240164 + 0.0415977i
\(325\) −2.38239 + 0.317326i −0.132151 + 0.0176021i
\(326\) −3.61662 + 6.26416i −0.200306 + 0.346940i
\(327\) 8.29305 14.3640i 0.458607 0.794330i
\(328\) −16.0645 27.8245i −0.887011 1.53635i
\(329\) −19.6763 21.7835i −1.08479 1.20097i
\(330\) −1.69081 −0.0930763
\(331\) −19.0379 −1.04642 −0.523208 0.852205i \(-0.675265\pi\)
−0.523208 + 0.852205i \(0.675265\pi\)
\(332\) 3.65076 + 6.32330i 0.200362 + 0.347036i
\(333\) 3.94868 6.83932i 0.216386 0.374792i
\(334\) −1.76208 −0.0964168
\(335\) 6.63274 + 11.4882i 0.362385 + 0.627669i
\(336\) −1.23937 + 3.83497i −0.0676134 + 0.209215i
\(337\) 1.90388 0.103711 0.0518555 0.998655i \(-0.483486\pi\)
0.0518555 + 0.998655i \(0.483486\pi\)
\(338\) −9.82468 9.76523i −0.534392 0.531158i
\(339\) −3.57465 + 6.19148i −0.194149 + 0.336275i
\(340\) 2.91388 0.158028
\(341\) 2.06028 3.56852i 0.111571 0.193246i
\(342\) 1.89813 3.28765i 0.102639 0.177776i
\(343\) 14.9315 10.9567i 0.806226 0.591608i
\(344\) −15.9345 + 27.5993i −0.859130 + 1.48806i
\(345\) 14.2412 0.766719
\(346\) 6.38687 11.0624i 0.343360 0.594718i
\(347\) 10.4403 + 18.0831i 0.560462 + 0.970749i 0.997456 + 0.0712845i \(0.0227098\pi\)
−0.436994 + 0.899465i \(0.643957\pi\)
\(348\) 0.560037 0.970012i 0.0300211 0.0519981i
\(349\) −4.79951 8.31300i −0.256912 0.444984i 0.708501 0.705710i \(-0.249372\pi\)
−0.965413 + 0.260725i \(0.916038\pi\)
\(350\) −1.25966 1.39457i −0.0673319 0.0745428i
\(351\) −2.19926 2.85714i −0.117388 0.152503i
\(352\) 1.49370 + 2.58716i 0.0796143 + 0.137896i
\(353\) 10.8140 0.575569 0.287785 0.957695i \(-0.407081\pi\)
0.287785 + 0.957695i \(0.407081\pi\)
\(354\) 5.49062 0.291823
\(355\) 28.6602 1.52112
\(356\) −1.57490 −0.0834696
\(357\) 2.51085 + 2.77974i 0.132888 + 0.147120i
\(358\) 1.42260 2.46402i 0.0751870 0.130228i
\(359\) 14.4945 + 25.1052i 0.764990 + 1.32500i 0.940252 + 0.340479i \(0.110589\pi\)
−0.175262 + 0.984522i \(0.556077\pi\)
\(360\) −3.63304 6.29260i −0.191478 0.331649i
\(361\) −6.30717 −0.331956
\(362\) 0.400696 0.694027i 0.0210601 0.0364772i
\(363\) 10.5557 0.554028
\(364\) −1.47791 + 8.11418i −0.0774637 + 0.425299i
\(365\) −19.3275 −1.01165
\(366\) 2.57734 4.46408i 0.134720 0.233341i
\(367\) −32.5733 −1.70031 −0.850156 0.526530i \(-0.823493\pi\)
−0.850156 + 0.526530i \(0.823493\pi\)
\(368\) 4.55659 + 7.89224i 0.237529 + 0.411412i
\(369\) 5.26293 + 9.11566i 0.273977 + 0.474542i
\(370\) −10.0159 + 17.3480i −0.520701 + 0.901880i
\(371\) 5.51994 17.0803i 0.286581 0.886763i
\(372\) 5.34452 0.277101
\(373\) −23.8778 −1.23634 −0.618172 0.786043i \(-0.712126\pi\)
−0.618172 + 0.786043i \(0.712126\pi\)
\(374\) −1.00562 −0.0519996
\(375\) −10.3155 −0.532691
\(376\) 16.9330 + 29.3287i 0.873250 + 1.51251i
\(377\) −1.78095 + 4.31812i −0.0917237 + 0.222395i
\(378\) 0.866948 2.68258i 0.0445910 0.137977i
\(379\) −4.89406 8.47676i −0.251391 0.435422i 0.712518 0.701654i \(-0.247555\pi\)
−0.963909 + 0.266232i \(0.914221\pi\)
\(380\) 3.66624 6.35012i 0.188074 0.325754i
\(381\) 5.70435 + 9.88023i 0.292243 + 0.506179i
\(382\) −2.74814 + 4.75992i −0.140607 + 0.243539i
\(383\) 14.8568 0.759146 0.379573 0.925162i \(-0.376071\pi\)
0.379573 + 0.925162i \(0.376071\pi\)
\(384\) −0.314218 + 0.544241i −0.0160349 + 0.0277732i
\(385\) −2.81410 3.11548i −0.143420 0.158779i
\(386\) −1.51643 + 2.62653i −0.0771841 + 0.133687i
\(387\) 5.22034 9.04190i 0.265365 0.459626i
\(388\) −13.6343 −0.692178
\(389\) −9.62735 + 16.6751i −0.488126 + 0.845459i −0.999907 0.0136568i \(-0.995653\pi\)
0.511781 + 0.859116i \(0.328986\pi\)
\(390\) 5.57845 + 7.24718i 0.282476 + 0.366975i
\(391\) 8.47003 0.428348
\(392\) −19.4919 + 8.75215i −0.984490 + 0.442051i
\(393\) 4.30754 + 7.46087i 0.217287 + 0.376351i
\(394\) 1.03050 0.0519156
\(395\) 4.76884 8.25987i 0.239946 0.415599i
\(396\) −0.288164 0.499115i −0.0144808 0.0250815i
\(397\) 38.3010 1.92227 0.961136 0.276074i \(-0.0890335\pi\)
0.961136 + 0.276074i \(0.0890335\pi\)
\(398\) 9.99671 0.501090
\(399\) 9.21693 1.97432i 0.461424 0.0988398i
\(400\) 0.507708 + 0.879376i 0.0253854 + 0.0439688i
\(401\) −17.8057 + 30.8404i −0.889175 + 1.54010i −0.0483236 + 0.998832i \(0.515388\pi\)
−0.840852 + 0.541265i \(0.817945\pi\)
\(402\) 2.96898 5.14243i 0.148080 0.256481i
\(403\) −22.0928 + 2.94269i −1.10052 + 0.146586i
\(404\) 3.87794 + 6.71680i 0.192935 + 0.334173i
\(405\) 1.19023 + 2.06154i 0.0591430 + 0.102439i
\(406\) −3.57124 + 0.764981i −0.177238 + 0.0379654i
\(407\) −2.63215 + 4.55902i −0.130471 + 0.225982i
\(408\) −2.16077 3.74257i −0.106974 0.185285i
\(409\) 1.58236 + 2.74072i 0.0782426 + 0.135520i 0.902492 0.430707i \(-0.141736\pi\)
−0.824249 + 0.566227i \(0.808402\pi\)
\(410\) −13.3495 23.1220i −0.659284 1.14191i
\(411\) 4.17738 + 7.23544i 0.206055 + 0.356898i
\(412\) 1.37293 2.37799i 0.0676396 0.117155i
\(413\) 9.13829 + 10.1170i 0.449666 + 0.497823i
\(414\) −3.18736 5.52067i −0.156650 0.271326i
\(415\) 10.0516 + 17.4098i 0.493412 + 0.854614i
\(416\) 6.16099 14.9380i 0.302067 0.732396i
\(417\) −4.82663 + 8.35996i −0.236361 + 0.409389i
\(418\) −1.26527 + 2.19152i −0.0618865 + 0.107191i
\(419\) 11.0530 + 19.1444i 0.539975 + 0.935265i 0.998905 + 0.0467918i \(0.0148997\pi\)
−0.458929 + 0.888473i \(0.651767\pi\)
\(420\) 1.67451 5.18142i 0.0817079 0.252828i
\(421\) 7.75012 0.377718 0.188859 0.982004i \(-0.439521\pi\)
0.188859 + 0.982004i \(0.439521\pi\)
\(422\) −22.1116 −1.07638
\(423\) −5.54746 9.60848i −0.269727 0.467180i
\(424\) −10.3544 + 17.9344i −0.502855 + 0.870971i
\(425\) 0.943755 0.0457789
\(426\) −6.41451 11.1103i −0.310784 0.538294i
\(427\) 12.5151 2.68080i 0.605646 0.129733i
\(428\) 4.32759 0.209182
\(429\) 1.46600 + 1.90454i 0.0707794 + 0.0919522i
\(430\) −13.2415 + 22.9349i −0.638560 + 1.10602i
\(431\) −34.5590 −1.66465 −0.832324 0.554290i \(-0.812990\pi\)
−0.832324 + 0.554290i \(0.812990\pi\)
\(432\) −0.761650 + 1.31922i −0.0366449 + 0.0634708i
\(433\) −12.2389 + 21.1985i −0.588166 + 1.01873i 0.406306 + 0.913737i \(0.366817\pi\)
−0.994473 + 0.104997i \(0.966517\pi\)
\(434\) −11.6814 12.9324i −0.560724 0.620774i
\(435\) 1.54194 2.67071i 0.0739302 0.128051i
\(436\) −14.3402 −0.686771
\(437\) 10.6570 18.4584i 0.509792 0.882986i
\(438\) 4.32575 + 7.49242i 0.206692 + 0.358002i
\(439\) 5.36348 9.28983i 0.255985 0.443379i −0.709177 0.705030i \(-0.750934\pi\)
0.965163 + 0.261651i \(0.0842669\pi\)
\(440\) 2.42175 + 4.19459i 0.115452 + 0.199969i
\(441\) 6.38580 2.86732i 0.304086 0.136539i
\(442\) 3.31782 + 4.31031i 0.157813 + 0.205020i
\(443\) 19.9363 + 34.5306i 0.947200 + 1.64060i 0.751284 + 0.659979i \(0.229435\pi\)
0.195916 + 0.980621i \(0.437232\pi\)
\(444\) −6.82799 −0.324042
\(445\) −4.33614 −0.205553
\(446\) 8.64174 0.409198
\(447\) −13.2608 −0.627214
\(448\) 20.2360 4.33467i 0.956061 0.204794i
\(449\) 15.2790 26.4640i 0.721060 1.24891i −0.239515 0.970893i \(-0.576988\pi\)
0.960575 0.278021i \(-0.0896783\pi\)
\(450\) −0.355145 0.615128i −0.0167417 0.0289974i
\(451\) −3.50822 6.07641i −0.165195 0.286127i
\(452\) 6.18123 0.290741
\(453\) 8.22189 14.2407i 0.386298 0.669088i
\(454\) 2.34134 0.109884
\(455\) −4.06910 + 22.3406i −0.190762 + 1.04734i
\(456\) −10.8747 −0.509255
\(457\) 8.01733 13.8864i 0.375035 0.649579i −0.615297 0.788295i \(-0.710964\pi\)
0.990332 + 0.138716i \(0.0442974\pi\)
\(458\) 21.6404 1.01119
\(459\) 0.707897 + 1.22611i 0.0330418 + 0.0572301i
\(460\) −6.15640 10.6632i −0.287043 0.497174i
\(461\) 19.7152 34.1477i 0.918227 1.59042i 0.116121 0.993235i \(-0.462954\pi\)
0.802106 0.597181i \(-0.203713\pi\)
\(462\) −0.577899 + 1.78819i −0.0268863 + 0.0831939i
\(463\) −25.9972 −1.20819 −0.604096 0.796912i \(-0.706466\pi\)
−0.604096 + 0.796912i \(0.706466\pi\)
\(464\) 1.97342 0.0916140
\(465\) 14.7150 0.682390
\(466\) 22.9539 1.06332
\(467\) −10.4162 18.0413i −0.482003 0.834854i 0.517784 0.855512i \(-0.326757\pi\)
−0.999787 + 0.0206579i \(0.993424\pi\)
\(468\) −1.18858 + 2.88184i −0.0549421 + 0.133213i
\(469\) 14.4168 3.08817i 0.665706 0.142598i
\(470\) 14.0712 + 24.3720i 0.649056 + 1.12420i
\(471\) −9.15038 + 15.8489i −0.421627 + 0.730279i
\(472\) −7.86419 13.6212i −0.361979 0.626966i
\(473\) −3.47983 + 6.02724i −0.160003 + 0.277133i
\(474\) −4.26931 −0.196096
\(475\) 1.18743 2.05669i 0.0544831 0.0943674i
\(476\) 0.995929 3.08169i 0.0456483 0.141249i
\(477\) 3.39224 5.87554i 0.155320 0.269022i
\(478\) 9.25417 16.0287i 0.423276 0.733135i
\(479\) −30.8878 −1.41130 −0.705650 0.708560i \(-0.749345\pi\)
−0.705650 + 0.708560i \(0.749345\pi\)
\(480\) −5.33414 + 9.23900i −0.243469 + 0.421701i
\(481\) 28.2251 3.75948i 1.28695 0.171418i
\(482\) −11.1917 −0.509766
\(483\) 4.86745 15.0613i 0.221477 0.685312i
\(484\) −4.56317 7.90363i −0.207417 0.359256i
\(485\) −37.5391 −1.70456
\(486\) 0.532778 0.922798i 0.0241673 0.0418590i
\(487\) −11.2136 19.4224i −0.508135 0.880115i −0.999956 0.00941874i \(-0.997002\pi\)
0.491821 0.870696i \(-0.336331\pi\)
\(488\) −14.7660 −0.668428
\(489\) −6.78823 −0.306974
\(490\) −16.1977 + 7.27299i −0.731736 + 0.328560i
\(491\) −6.66716 11.5479i −0.300885 0.521147i 0.675452 0.737404i \(-0.263949\pi\)
−0.976337 + 0.216257i \(0.930615\pi\)
\(492\) 4.55028 7.88132i 0.205143 0.355317i
\(493\) 0.917077 1.58842i 0.0413031 0.0715390i
\(494\) 13.5678 1.80718i 0.610443 0.0813089i
\(495\) −0.793396 1.37420i −0.0356605 0.0617658i
\(496\) 4.70818 + 8.15481i 0.211404 + 0.366162i
\(497\) 9.79568 30.3106i 0.439396 1.35962i
\(498\) 4.49934 7.79308i 0.201620 0.349216i
\(499\) −15.2608 26.4324i −0.683165 1.18328i −0.974010 0.226507i \(-0.927269\pi\)
0.290844 0.956770i \(-0.406064\pi\)
\(500\) 4.45935 + 7.72382i 0.199428 + 0.345420i
\(501\) −0.826837 1.43212i −0.0369404 0.0639826i
\(502\) −0.753281 1.30472i −0.0336206 0.0582326i
\(503\) −12.1432 + 21.0327i −0.541441 + 0.937803i 0.457381 + 0.889271i \(0.348788\pi\)
−0.998822 + 0.0485320i \(0.984546\pi\)
\(504\) −7.89671 + 1.69152i −0.351747 + 0.0753464i
\(505\) 10.6771 + 18.4932i 0.475123 + 0.822937i
\(506\) 2.12466 + 3.68002i 0.0944528 + 0.163597i
\(507\) 3.32652 12.5672i 0.147736 0.558128i
\(508\) 4.93193 8.54236i 0.218819 0.379006i
\(509\) −11.7319 + 20.3202i −0.520007 + 0.900678i 0.479723 + 0.877420i \(0.340737\pi\)
−0.999729 + 0.0232579i \(0.992596\pi\)
\(510\) −1.79559 3.11005i −0.0795101 0.137716i
\(511\) −6.60590 + 20.4406i −0.292228 + 0.904237i
\(512\) −16.1262 −0.712684
\(513\) 3.56270 0.157297
\(514\) 7.32422 + 12.6859i 0.323058 + 0.559552i
\(515\) 3.78007 6.54727i 0.166570 0.288507i
\(516\) −9.02693 −0.397388
\(517\) 3.69788 + 6.40492i 0.162633 + 0.281688i
\(518\) 14.9237 + 16.5220i 0.655712 + 0.725935i
\(519\) 11.9879 0.526209
\(520\) 9.98888 24.2192i 0.438041 1.06208i
\(521\) 2.93601 5.08531i 0.128629 0.222791i −0.794517 0.607242i \(-0.792276\pi\)
0.923146 + 0.384451i \(0.125609\pi\)
\(522\) −1.38042 −0.0604194
\(523\) −5.03484 + 8.72060i −0.220158 + 0.381325i −0.954856 0.297070i \(-0.903991\pi\)
0.734698 + 0.678395i \(0.237324\pi\)
\(524\) 3.72426 6.45061i 0.162695 0.281796i
\(525\) 0.542345 1.67817i 0.0236699 0.0732414i
\(526\) −4.25019 + 7.36154i −0.185317 + 0.320978i
\(527\) 8.75182 0.381235
\(528\) 0.507708 0.879376i 0.0220952 0.0382699i
\(529\) −6.39532 11.0770i −0.278057 0.481610i
\(530\) −8.60447 + 14.9034i −0.373754 + 0.647361i
\(531\) 2.57641 + 4.46248i 0.111807 + 0.193655i
\(532\) −5.46273 6.04776i −0.236839 0.262204i
\(533\) −14.4702 + 35.0846i −0.626773 + 1.51968i
\(534\) 0.970485 + 1.68093i 0.0419970 + 0.0727409i
\(535\) 11.9150 0.515132
\(536\) −17.0099 −0.734714
\(537\) 2.67017 0.115226
\(538\) 29.4502 1.26969
\(539\) −4.25671 + 1.91133i −0.183350 + 0.0823267i
\(540\) 1.02906 1.78239i 0.0442838 0.0767018i
\(541\) 19.5150 + 33.8010i 0.839015 + 1.45322i 0.890719 + 0.454555i \(0.150202\pi\)
−0.0517032 + 0.998662i \(0.516465\pi\)
\(542\) −5.49776 9.52240i −0.236149 0.409022i
\(543\) 0.752089 0.0322752
\(544\) −3.17252 + 5.49496i −0.136020 + 0.235594i
\(545\) −39.4825 −1.69125
\(546\) 9.57117 3.42270i 0.409608 0.146478i
\(547\) −30.9149 −1.32183 −0.660913 0.750462i \(-0.729831\pi\)
−0.660913 + 0.750462i \(0.729831\pi\)
\(548\) 3.61173 6.25570i 0.154285 0.267230i
\(549\) 4.83755 0.206462
\(550\) 0.236736 + 0.410039i 0.0100945 + 0.0174841i
\(551\) −2.30773 3.99710i −0.0983125 0.170282i
\(552\) −9.13048 + 15.8145i −0.388619 + 0.673108i
\(553\) −7.10561 7.86658i −0.302161 0.334521i
\(554\) −2.29700 −0.0975901
\(555\) −18.7994 −0.797988
\(556\) 8.34612 0.353954
\(557\) −10.8223 −0.458556 −0.229278 0.973361i \(-0.573637\pi\)
−0.229278 + 0.973361i \(0.573637\pi\)
\(558\) −3.29340 5.70433i −0.139421 0.241484i
\(559\) 37.3149 4.97021i 1.57825 0.210218i
\(560\) 9.38109 2.00949i 0.396423 0.0849163i
\(561\) −0.471878 0.817316i −0.0199227 0.0345071i
\(562\) 1.38840 2.40477i 0.0585659 0.101439i
\(563\) 16.5581 + 28.6794i 0.697839 + 1.20869i 0.969214 + 0.246219i \(0.0791883\pi\)
−0.271375 + 0.962474i \(0.587478\pi\)
\(564\) −4.79628 + 8.30741i −0.201960 + 0.349805i
\(565\) 17.0186 0.715980
\(566\) −0.922996 + 1.59868i −0.0387964 + 0.0671974i
\(567\) 2.58706 0.554165i 0.108646 0.0232727i
\(568\) −18.3750 + 31.8264i −0.770996 + 1.33540i
\(569\) 12.7080 22.0110i 0.532749 0.922748i −0.466520 0.884511i \(-0.654492\pi\)
0.999269 0.0382374i \(-0.0121743\pi\)
\(570\) −9.03683 −0.378511
\(571\) 19.9266 34.5138i 0.833901 1.44436i −0.0610215 0.998136i \(-0.519436\pi\)
0.894922 0.446222i \(-0.147231\pi\)
\(572\) 0.792295 1.92101i 0.0331275 0.0803214i
\(573\) −5.15813 −0.215484
\(574\) −29.0162 + 6.21545i −1.21111 + 0.259428i
\(575\) −1.99395 3.45362i −0.0831534 0.144026i
\(576\) 7.82199 0.325916
\(577\) −3.99457 + 6.91879i −0.166296 + 0.288033i −0.937115 0.349021i \(-0.886514\pi\)
0.770819 + 0.637054i \(0.219847\pi\)
\(578\) 7.98928 + 13.8378i 0.332310 + 0.575578i
\(579\) −2.84627 −0.118287
\(580\) −2.66629 −0.110712
\(581\) 21.8479 4.67995i 0.906404 0.194157i
\(582\) 8.40173 + 14.5522i 0.348263 + 0.603209i
\(583\) −2.26124 + 3.91658i −0.0936509 + 0.162208i
\(584\) 12.3915 21.4627i 0.512764 0.888134i
\(585\) −3.27249 + 7.93451i −0.135301 + 0.328052i
\(586\) −17.4960 30.3039i −0.722753 1.25184i
\(587\) 7.56713 + 13.1067i 0.312329 + 0.540969i 0.978866 0.204502i \(-0.0655576\pi\)
−0.666537 + 0.745472i \(0.732224\pi\)
\(588\) −4.90748 3.54189i −0.202381 0.146065i
\(589\) 11.0115 19.0725i 0.453722 0.785869i
\(590\) −6.53510 11.3191i −0.269046 0.466001i
\(591\) 0.483548 + 0.837530i 0.0198905 + 0.0344514i
\(592\) −6.01502 10.4183i −0.247216 0.428190i
\(593\) −10.5712 18.3099i −0.434109 0.751898i 0.563114 0.826379i \(-0.309603\pi\)
−0.997222 + 0.0744812i \(0.976270\pi\)
\(594\) −0.355145 + 0.615128i −0.0145718 + 0.0252390i
\(595\) 2.74207 8.48474i 0.112414 0.347840i
\(596\) 5.73259 + 9.92913i 0.234816 + 0.406713i
\(597\) 4.69085 + 8.12478i 0.191984 + 0.332525i
\(598\) 8.76350 21.2481i 0.358366 0.868900i
\(599\) 4.21779 7.30543i 0.172334 0.298492i −0.766901 0.641765i \(-0.778202\pi\)
0.939236 + 0.343273i \(0.111536\pi\)
\(600\) −1.01734 + 1.76209i −0.0415329 + 0.0719371i
\(601\) 8.61342 + 14.9189i 0.351349 + 0.608554i 0.986486 0.163845i \(-0.0523898\pi\)
−0.635137 + 0.772399i \(0.719056\pi\)
\(602\) 19.7299 + 21.8429i 0.804131 + 0.890249i
\(603\) 5.57265 0.226936
\(604\) −14.2171 −0.578488
\(605\) −12.5637 21.7609i −0.510785 0.884706i
\(606\) 4.77933 8.27804i 0.194147 0.336272i
\(607\) 16.5854 0.673180 0.336590 0.941651i \(-0.390726\pi\)
0.336590 + 0.941651i \(0.390726\pi\)
\(608\) 7.98330 + 13.8275i 0.323766 + 0.560779i
\(609\) −2.29750 2.54355i −0.0930993 0.103070i
\(610\) −12.2705 −0.496818
\(611\) 15.2525 36.9814i 0.617050 1.49611i
\(612\) 0.612042 1.06009i 0.0247403 0.0428515i
\(613\) −17.2057 −0.694934 −0.347467 0.937692i \(-0.612958\pi\)
−0.347467 + 0.937692i \(0.612958\pi\)
\(614\) 15.6966 27.1873i 0.633463 1.09719i
\(615\) 12.5282 21.6995i 0.505185 0.875007i
\(616\) 5.26387 1.12755i 0.212087 0.0454304i
\(617\) 24.1220 41.7805i 0.971115 1.68202i 0.278913 0.960316i \(-0.410026\pi\)
0.692202 0.721704i \(-0.256641\pi\)
\(618\) −3.38411 −0.136129
\(619\) 18.8263 32.6081i 0.756694 1.31063i −0.187834 0.982201i \(-0.560147\pi\)
0.944528 0.328431i \(-0.106520\pi\)
\(620\) −6.36121 11.0179i −0.255472 0.442491i
\(621\) 2.99126 5.18102i 0.120035 0.207907i
\(622\) −3.76246 6.51678i −0.150861 0.261299i
\(623\) −1.48204 + 4.58585i −0.0593766 + 0.183728i
\(624\) −5.44425 + 0.725155i −0.217944 + 0.0290295i
\(625\) 13.9443 + 24.1522i 0.557772 + 0.966090i
\(626\) −17.4300 −0.696642
\(627\) −2.37486 −0.0948428
\(628\) 15.8227 0.631393
\(629\) −11.1810 −0.445817
\(630\) −6.56212 + 1.40565i −0.261441 + 0.0560023i
\(631\) −9.79240 + 16.9609i −0.389829 + 0.675204i −0.992426 0.122841i \(-0.960799\pi\)
0.602597 + 0.798046i \(0.294133\pi\)
\(632\) 6.11491 + 10.5913i 0.243238 + 0.421301i
\(633\) −10.3756 17.9711i −0.412394 0.714288i
\(634\) 20.2053 0.802454
\(635\) 13.5790 23.5195i 0.538865 0.933342i
\(636\) −5.86581 −0.232594
\(637\) 22.2364 + 11.9392i 0.881037 + 0.473047i
\(638\) 0.920175 0.0364301
\(639\) 6.01988 10.4267i 0.238143 0.412475i
\(640\) 1.49597 0.0591332
\(641\) 6.96205 + 12.0586i 0.274984 + 0.476287i 0.970131 0.242581i \(-0.0779940\pi\)
−0.695147 + 0.718868i \(0.744661\pi\)
\(642\) −2.66674 4.61893i −0.105248 0.182295i
\(643\) 10.3893 17.9948i 0.409714 0.709645i −0.585144 0.810930i \(-0.698962\pi\)
0.994858 + 0.101284i \(0.0322952\pi\)
\(644\) −13.3814 + 2.86639i −0.527303 + 0.112951i
\(645\) −24.8536 −0.978611
\(646\) −5.37472 −0.211465
\(647\) −7.92761 −0.311666 −0.155833 0.987783i \(-0.549806\pi\)
−0.155833 + 0.987783i \(0.549806\pi\)
\(648\) −3.05238 −0.119909
\(649\) −1.71741 2.97464i −0.0674143 0.116765i
\(650\) 0.976455 2.36752i 0.0382997 0.0928620i
\(651\) 5.02939 15.5624i 0.197117 0.609937i
\(652\) 2.93452 + 5.08274i 0.114925 + 0.199055i
\(653\) −18.1324 + 31.4063i −0.709576 + 1.22902i 0.255439 + 0.966825i \(0.417780\pi\)
−0.965015 + 0.262196i \(0.915553\pi\)
\(654\) 8.83670 + 15.3056i 0.345542 + 0.598497i
\(655\) 10.2539 17.7603i 0.400654 0.693953i
\(656\) 16.0340 0.626023
\(657\) −4.05962 + 7.03147i −0.158381 + 0.274324i
\(658\) 30.5849 6.55147i 1.19232 0.255403i
\(659\) 11.6108 20.1105i 0.452293 0.783395i −0.546235 0.837632i \(-0.683939\pi\)
0.998528 + 0.0542371i \(0.0172727\pi\)
\(660\) −0.685963 + 1.18812i −0.0267011 + 0.0462476i
\(661\) −18.8730 −0.734074 −0.367037 0.930206i \(-0.619628\pi\)
−0.367037 + 0.930206i \(0.619628\pi\)
\(662\) 10.1430 17.5681i 0.394217 0.682804i
\(663\) −1.94633 + 4.71911i −0.0755893 + 0.183275i
\(664\) −25.7775 −1.00036
\(665\) −15.0404 16.6512i −0.583242 0.645705i
\(666\) 4.20754 + 7.28767i 0.163039 + 0.282392i
\(667\) −7.75033 −0.300094
\(668\) −0.714876 + 1.23820i −0.0276594 + 0.0479075i
\(669\) 4.05504 + 7.02354i 0.156777 + 0.271546i
\(670\) −14.1351 −0.546087
\(671\) −3.22466 −0.124487
\(672\) 7.94791 + 8.79909i 0.306597 + 0.339432i
\(673\) −6.68396 11.5770i −0.257648 0.446259i 0.707964 0.706249i \(-0.249614\pi\)
−0.965611 + 0.259990i \(0.916281\pi\)
\(674\) −1.01435 + 1.75690i −0.0390711 + 0.0676732i
\(675\) 0.333295 0.577284i 0.0128285 0.0222197i
\(676\) −10.8478 + 2.94198i −0.417224 + 0.113153i
\(677\) 10.5600 + 18.2904i 0.405853 + 0.702958i 0.994420 0.105490i \(-0.0336412\pi\)
−0.588567 + 0.808448i \(0.700308\pi\)
\(678\) −3.80899 6.59737i −0.146283 0.253370i
\(679\) −12.8304 + 39.7009i −0.492385 + 1.52358i
\(680\) −5.14363 + 8.90903i −0.197249 + 0.341646i
\(681\) 1.09865 + 1.90291i 0.0421002 + 0.0729197i
\(682\) 2.19535 + 3.80245i 0.0840642 + 0.145603i
\(683\) 16.9165 + 29.3002i 0.647291 + 1.12114i 0.983767 + 0.179449i \(0.0574316\pi\)
−0.336476 + 0.941692i \(0.609235\pi\)
\(684\) −1.54014 2.66760i −0.0588887 0.101998i
\(685\) 9.94409 17.2237i 0.379944 0.658083i
\(686\) 2.15567 + 19.6163i 0.0823039 + 0.748953i
\(687\) 10.1545 + 17.5882i 0.387420 + 0.671030i
\(688\) −7.95214 13.7735i −0.303173 0.525110i
\(689\) 24.2477 3.22971i 0.923763 0.123042i
\(690\) −7.58738 + 13.1417i −0.288847 + 0.500297i
\(691\) −13.1762 + 22.8218i −0.501245 + 0.868181i 0.498754 + 0.866743i \(0.333791\pi\)
−0.999999 + 0.00143773i \(0.999542\pi\)
\(692\) −5.18231 8.97602i −0.197002 0.341217i
\(693\) −1.72451 + 0.369401i −0.0655088 + 0.0140324i
\(694\) −22.2493 −0.844573
\(695\) 22.9792 0.871650
\(696\) 1.97717 + 3.42456i 0.0749445 + 0.129808i
\(697\) 7.45122 12.9059i 0.282235 0.488846i
\(698\) 10.2283 0.387146
\(699\) 10.7709 + 18.6557i 0.407392 + 0.705624i
\(700\) −1.49100 + 0.319381i −0.0563544 + 0.0120715i
\(701\) 11.2115 0.423453 0.211727 0.977329i \(-0.432091\pi\)
0.211727 + 0.977329i \(0.432091\pi\)
\(702\) 3.80828 0.507250i 0.143734 0.0191449i
\(703\) −14.0680 + 24.3664i −0.530583 + 0.918997i
\(704\) −5.21407 −0.196513
\(705\) −13.2055 + 22.8726i −0.497348 + 0.861432i
\(706\) −5.76144 + 9.97910i −0.216835 + 0.375569i
\(707\) 23.2075 4.97118i 0.872807 0.186961i
\(708\) 2.22754 3.85822i 0.0837162 0.145001i
\(709\) 11.5011 0.431934 0.215967 0.976401i \(-0.430710\pi\)
0.215967 + 0.976401i \(0.430710\pi\)
\(710\) −15.2695 + 26.4475i −0.573054 + 0.992558i
\(711\) −2.00333 3.46986i −0.0751306 0.130130i
\(712\) 2.78004 4.81517i 0.104186 0.180456i
\(713\) −18.4907 32.0268i −0.692481 1.19941i
\(714\) −3.90287 + 0.836018i −0.146061 + 0.0312872i
\(715\) 2.18141 5.28907i 0.0815800 0.197800i
\(716\) −1.15430 1.99931i −0.0431383 0.0747176i
\(717\) 17.3697 0.648682
\(718\) −30.8894 −1.15278
\(719\) 24.1105 0.899170 0.449585 0.893238i \(-0.351572\pi\)
0.449585 + 0.893238i \(0.351572\pi\)
\(720\) 3.62615 0.135139
\(721\) −5.63234 6.23553i −0.209759 0.232223i
\(722\) 3.36032 5.82024i 0.125058 0.216607i
\(723\) −5.25156 9.09597i −0.195308 0.338283i
\(724\) −0.325125 0.563133i −0.0120832 0.0209287i
\(725\) −0.863564 −0.0320720
\(726\) −5.62382 + 9.74074i −0.208720 + 0.361513i
\(727\) 27.2156 1.00937 0.504686 0.863303i \(-0.331608\pi\)
0.504686 + 0.863303i \(0.331608\pi\)
\(728\) −22.1998 18.8419i −0.822780 0.698328i
\(729\) 1.00000 0.0370370
\(730\) 10.2973 17.8354i 0.381119 0.660118i
\(731\) −14.7819 −0.546727
\(732\) −2.09125 3.62216i −0.0772949 0.133879i
\(733\) −0.965303 1.67195i −0.0356543 0.0617550i 0.847648 0.530560i \(-0.178018\pi\)
−0.883302 + 0.468805i \(0.844685\pi\)
\(734\) 17.3543 30.0586i 0.640560 1.10948i
\(735\) −13.5117 9.75181i −0.498385 0.359701i
\(736\) 26.8113 0.988278
\(737\) −3.71468 −0.136832
\(738\) −11.2159 −0.412862
\(739\) 22.7217 0.835832 0.417916 0.908486i \(-0.362761\pi\)
0.417916 + 0.908486i \(0.362761\pi\)
\(740\) 8.12688 + 14.0762i 0.298750 + 0.517450i
\(741\) 7.83530 + 10.1791i 0.287837 + 0.373940i
\(742\) 12.8207 + 14.1938i 0.470664 + 0.521070i
\(743\) 10.9451 + 18.9574i 0.401535 + 0.695480i 0.993911 0.110182i \(-0.0351434\pi\)
−0.592376 + 0.805662i \(0.701810\pi\)
\(744\) −9.43424 + 16.3406i −0.345876 + 0.599075i
\(745\) 15.7834 + 27.3376i 0.578259 + 1.00157i
\(746\) 12.7215 22.0344i 0.465769 0.806735i
\(747\) 8.44505 0.308988
\(748\) −0.407981 + 0.706644i −0.0149173 + 0.0258375i
\(749\) 4.07241 12.6012i 0.148803 0.460438i
\(750\) 5.49587 9.51913i 0.200681 0.347590i
\(751\) −12.3385 + 21.3710i −0.450240 + 0.779839i −0.998401 0.0565344i \(-0.981995\pi\)
0.548161 + 0.836373i \(0.315328\pi\)
\(752\) −16.9009 −0.616311
\(753\) 0.706938 1.22445i 0.0257622 0.0446215i
\(754\) −3.03590 3.94406i −0.110561 0.143634i
\(755\) −39.1438 −1.42459
\(756\) −1.53331 1.69752i −0.0557660 0.0617383i
\(757\) 1.04346 + 1.80733i 0.0379252 + 0.0656884i 0.884365 0.466796i \(-0.154592\pi\)
−0.846440 + 0.532484i \(0.821258\pi\)
\(758\) 10.4298 0.378827
\(759\) −1.99395 + 3.45362i −0.0723757 + 0.125358i
\(760\) 12.9434 + 22.4187i 0.469507 + 0.813210i
\(761\) −21.5976 −0.782911 −0.391455 0.920197i \(-0.628028\pi\)
−0.391455 + 0.920197i \(0.628028\pi\)
\(762\) −12.1566 −0.440387
\(763\) −13.4946 + 41.7563i −0.488539 + 1.51168i
\(764\) 2.22984 + 3.86219i 0.0806727 + 0.139729i
\(765\) 1.68512 2.91872i 0.0609257 0.105526i
\(766\) −7.91537 + 13.7098i −0.285994 + 0.495356i
\(767\) −7.08373 + 17.1753i −0.255779 + 0.620165i
\(768\) −8.15681 14.1280i −0.294334 0.509801i
\(769\) 2.39533 + 4.14883i 0.0863777 + 0.149611i 0.905977 0.423326i \(-0.139137\pi\)
−0.819600 + 0.572937i \(0.805804\pi\)
\(770\) 4.37425 0.936990i 0.157637 0.0337668i
\(771\) −6.87362 + 11.9055i −0.247547 + 0.428765i
\(772\) 1.23043 + 2.13116i 0.0442841 + 0.0767023i
\(773\) −5.29480 9.17087i −0.190441 0.329853i 0.754956 0.655776i \(-0.227658\pi\)
−0.945396 + 0.325923i \(0.894325\pi\)
\(774\) 5.56257 + 9.63465i 0.199942 + 0.346310i
\(775\) −2.06028 3.56852i −0.0740076 0.128185i
\(776\) 24.0675