Properties

Label 273.2.j.b.100.3
Level $273$
Weight $2$
Character 273.100
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 100.3
Root \(-0.532778 - 0.922798i\) of defining polynomial
Character \(\chi\) \(=\) 273.100
Dual form 273.2.j.b.172.3

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.532778 0.922798i −0.376731 0.652517i 0.613854 0.789420i \(-0.289618\pi\)
−0.990584 + 0.136903i \(0.956285\pi\)
\(3\) −1.00000 −0.577350
\(4\) 0.432296 0.748758i 0.216148 0.374379i
\(5\) 1.19023 2.06154i 0.532287 0.921948i −0.467002 0.884256i \(-0.654666\pi\)
0.999289 0.0376922i \(-0.0120006\pi\)
\(6\) 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 −0.939011 0.343887i \(-0.888256\pi\)
0.767321 + 0.641264i \(0.221590\pi\)
\(18\) −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 −0.988787 0.149336i \(-0.952287\pi\)
0.365065 0.930982i \(-0.381047\pi\)
\(24\) 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 −0.799596 0.600538i \(-0.794953\pi\)
0.919879 + 0.392201i \(0.128286\pi\)
\(30\) 2.53651 0.463102
\(31\) −3.09078 5.35339i −0.555120 0.961497i −0.997894 0.0648633i \(-0.979339\pi\)
0.442774 0.896633i \(-0.353994\pi\)
\(32\) −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 0.983324 + 0.181862i \(0.0582124\pi\)
−0.334165 + 0.942515i \(0.608454\pi\)
\(38\) 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 −0.0823113 0.996607i \(-0.526230\pi\)
0.904242 0.427020i \(-0.140437\pi\)
\(42\) 0.866948 + 2.68258i 0.133773 + 0.413932i
\(43\) 5.22034 + 9.04190i 0.796095 + 1.37888i 0.922142 + 0.386853i \(0.126438\pi\)
−0.126047 + 0.992024i \(0.540229\pi\)
\(44\) −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 0.104253 + 0.994551i \(0.466755\pi\)
−0.913433 + 0.406990i \(0.866578\pi\)
\(48\) −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 0.999244 0.0388691i \(-0.0123755\pi\)
−0.533284 + 0.845936i \(0.679042\pi\)
\(54\) 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 −0.648145 0.761517i \(-0.724455\pi\)
0.983565 + 0.180552i \(0.0577884\pi\)
\(60\) 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 0.963180 + 0.268858i \(0.0866463\pi\)
−0.248752 + 0.968567i \(0.580020\pi\)
\(72\) −3.05238 −0.359727
\(73\) −4.05962 7.03147i −0.475143 0.822971i 0.524452 0.851440i \(-0.324270\pi\)
−0.999595 + 0.0284689i \(0.990937\pi\)
\(74\) 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 −0.956437 0.291939i \(-0.905700\pi\)
0.731045 + 0.682329i \(0.239033\pi\)
\(80\) 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 0.813709 0.581273i \(-0.197445\pi\)
−0.910251 + 0.414056i \(0.864112\pi\)
\(90\) −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 −0.919232 0.393716i \(-0.871189\pi\)
0.118648 0.992936i \(-0.462144\pi\)
\(98\) −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 −0.933592 0.358338i \(-0.883344\pi\)
0.777126 + 0.629345i \(0.216677\pi\)
\(104\) −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 0.961268 0.275617i \(-0.0888820\pi\)
−0.719325 + 0.694674i \(0.755549\pi\)
\(108\) −0.432296 + 0.748758i −0.0415977 + 0.0720493i
\(109\) −8.29305 14.3640i −0.794330 1.37582i −0.923264 0.384167i \(-0.874489\pi\)
0.128934 0.991653i \(-0.458844\pi\)
\(110\) 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 0.983729 0.179659i \(-0.0574994\pi\)
−0.647454 + 0.762105i \(0.724166\pi\)
\(114\) −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 0.493795 + 0.869578i \(0.335609\pi\)
−0.999974 + 0.00715012i \(0.997724\pi\)
\(128\) 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 −0.990528 0.137309i \(-0.956155\pi\)
0.614177 + 0.789168i \(0.289488\pi\)
\(132\) 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 −0.987441 0.157989i \(-0.949499\pi\)
0.630543 + 0.776154i \(0.282832\pi\)
\(138\) 3.18736 5.52067i 0.271326 0.469950i
\(139\) 4.82663 + 8.35996i 0.409389 + 0.709083i 0.994821 0.101638i \(-0.0324085\pi\)
−0.585432 + 0.810721i \(0.699075\pi\)
\(140\) −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 −0.978160 0.207855i \(-0.933352\pi\)
0.309072 0.951039i \(-0.399982\pi\)
\(152\) 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 0.956764 + 0.290866i \(0.0939435\pi\)
−0.226484 + 0.974015i \(0.572723\pi\)
\(158\) 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 −0.832260 0.554386i \(-0.812953\pi\)
0.896242 + 0.443565i \(0.146286\pi\)
\(168\) 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 −0.882737 0.469867i \(-0.844302\pi\)
0.848286 + 0.529539i \(0.177635\pi\)
\(198\) 0.355145 + 0.615128i 0.0252390 + 0.0437153i
\(199\) −4.69085 + 8.12478i −0.332525 + 0.575951i −0.983006 0.183572i \(-0.941234\pi\)
0.650481 + 0.759522i \(0.274567\pi\)
\(200\) 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 −0.248945 0.968518i \(-0.580084\pi\)
0.963233 0.268666i \(-0.0865827\pi\)
\(212\) 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 −0.969258 0.246047i \(-0.920868\pi\)
0.697712 + 0.716378i \(0.254201\pi\)
\(224\) −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 −0.900180 0.435519i \(-0.856565\pi\)
0.827260 + 0.561819i \(0.189898\pi\)
\(228\) 1.54014 2.66760i 0.101998 0.176666i
\(229\) −10.1545 + 17.5882i −0.671030 + 1.16226i 0.306582 + 0.951844i \(0.400815\pi\)
−0.977612 + 0.210414i \(0.932519\pi\)
\(230\) 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 0.260842 + 0.965382i \(0.416000\pi\)
−0.966466 + 0.256795i \(0.917333\pi\)
\(234\) −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 −0.645827 0.763484i \(-0.723487\pi\)
0.984110 + 0.177561i \(0.0568206\pi\)
\(242\) 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 0.842852 0.538145i \(-0.180875\pi\)
−0.887474 + 0.460859i \(0.847542\pi\)
\(252\) 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 0.996764 0.0803871i \(-0.0256156\pi\)
−0.567999 + 0.823029i \(0.692282\pi\)
\(258\) −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 0.0451470 + 0.998980i \(0.485624\pi\)
−0.887716 + 0.460392i \(0.847709\pi\)
\(270\) 2.53651 0.154367
\(271\) −5.15953 8.93656i −0.313419 0.542857i 0.665681 0.746236i \(-0.268141\pi\)
−0.979100 + 0.203379i \(0.934808\pi\)
\(272\) −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 −0.831827 0.555035i \(-0.812705\pi\)
0.896588 + 0.442866i \(0.146038\pi\)
\(278\) 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 −0.724345 0.689438i \(-0.757858\pi\)
−0.234898 0.972020i \(-0.575476\pi\)
\(294\) 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 0.748377 0.663274i \(-0.230834\pi\)
−0.948601 + 0.316476i \(0.897500\pi\)
\(312\) 6.71298 8.72109i 0.380047 0.493734i
\(313\) 8.17883 14.1661i 0.462295 0.800718i −0.536780 0.843722i \(-0.680360\pi\)
0.999075 + 0.0430043i \(0.0136929\pi\)
\(314\) 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 0.466768 + 0.884380i \(0.345418\pi\)
−0.999279 + 0.0379568i \(0.987915\pi\)
\(318\) −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 −0.436994 0.899465i \(-0.643957\pi\)
0.997456 0.0712845i \(-0.0227098\pi\)
\(348\) 0.560037 + 0.970012i 0.0300211 + 0.0519981i
\(349\) −4.79951 + 8.31300i −0.256912 + 0.444984i −0.965413 0.260725i \(-0.916038\pi\)
0.708501 + 0.705710i \(0.249372\pi\)
\(350\) −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 −0.175262 0.984522i \(-0.556077\pi\)
0.940252 0.340479i \(-0.110589\pi\)
\(360\) −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 −0.963909 0.266232i \(-0.914221\pi\)
0.712518 + 0.701654i \(0.247555\pi\)
\(380\) 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 0.511781 0.859116i \(-0.328986\pi\)
−0.999907 + 0.0136568i \(0.995653\pi\)
\(390\) 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 −0.840852 0.541265i \(-0.817945\pi\)
−0.0483236 0.998832i \(-0.515388\pi\)
\(402\) 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 −0.824249 0.566227i \(-0.808402\pi\)
0.902492 + 0.430707i \(0.141736\pi\)
\(410\) −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 −0.458929 0.888473i \(-0.651767\pi\)
0.998905 0.0467918i \(-0.0148997\pi\)
\(420\) 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 −0.994473 0.104997i \(-0.966517\pi\)
0.406306 0.913737i \(-0.366817\pi\)
\(434\) −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 0.965163 0.261651i \(-0.0842669\pi\)
−0.709177 + 0.705030i \(0.750934\pi\)
\(440\) 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 0.195916 0.980621i \(-0.437232\pi\)
0.751284 0.659979i \(-0.229435\pi\)
\(444\) −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 0.960575 + 0.278021i \(0.0896783\pi\)
−0.239515 + 0.970893i \(0.576988\pi\)
\(450\) −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 0.990332 0.138716i \(-0.0442974\pi\)
−0.615297 + 0.788295i \(0.710964\pi\)
\(458\) 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 0.802106 + 0.597181i \(0.203713\pi\)
0.116121 + 0.993235i \(0.462954\pi\)
\(462\) −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 −0.999787 0.0206579i \(-0.993424\pi\)
0.517784 + 0.855512i \(0.326757\pi\)
\(468\) −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 0.491821 + 0.870696i \(0.336331\pi\)
−0.999956 + 0.00941874i \(0.997002\pi\)
\(488\) −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 −0.976337 0.216257i \(-0.930615\pi\)
0.675452 + 0.737404i \(0.263949\pi\)
\(492\) 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 0.290844 + 0.956770i \(0.406064\pi\)
−0.974010 + 0.226507i \(0.927269\pi\)
\(500\) 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 −0.998822 0.0485320i \(-0.984546\pi\)
0.457381 0.889271i \(-0.348788\pi\)
\(504\) −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 −0.999729 0.0232579i \(-0.992596\pi\)
0.479723 0.877420i \(-0.340737\pi\)
\(510\) −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 0.923146 0.384451i \(-0.125609\pi\)
−0.794517 + 0.607242i \(0.792276\pi\)
\(522\) −1.38042 −0.0604194
\(523\) −5.03484 8.72060i −0.220158 0.381325i 0.734698 0.678395i \(-0.237324\pi\)
−0.954856 + 0.297070i \(0.903991\pi\)
\(524\) 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 −0.0517032 0.998662i \(-0.516465\pi\)
0.890719 0.454555i \(-0.150202\pi\)
\(542\) −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 −0.271375 0.962474i \(-0.587478\pi\)
0.969214 0.246219i \(-0.0791883\pi\)
\(564\) −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 0.999269 + 0.0382374i \(0.0121743\pi\)
−0.466520 + 0.884511i \(0.654492\pi\)
\(570\) −9.03683 −0.378511
\(571\) 19.9266 + 34.5138i 0.833901 + 1.44436i 0.894922 + 0.446222i \(0.147231\pi\)
−0.0610215 + 0.998136i \(0.519436\pi\)
\(572\) 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 0.770819 0.637054i \(-0.219847\pi\)
−0.937115 + 0.349021i \(0.886514\pi\)
\(578\) 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 −0.666537 0.745472i \(-0.732224\pi\)
0.978866 + 0.204502i \(0.0655576\pi\)
\(588\) −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 −0.997222 0.0744812i \(-0.976270\pi\)
0.563114 + 0.826379i \(0.309603\pi\)
\(594\) −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 0.939236 0.343273i \(-0.111536\pi\)
−0.766901 + 0.641765i \(0.778202\pi\)
\(600\) −1.01734 1.76209i −0.0415329 0.0719371i
\(601\) 8.61342 14.9189i 0.351349 0.608554i −0.635137 0.772399i \(-0.719056\pi\)
0.986486 + 0.163845i \(0.0523898\pi\)
\(602\) 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 0.692202 + 0.721704i \(0.256641\pi\)
0.278913 + 0.960316i \(0.410026\pi\)
\(618\) −3.38411 −0.136129
\(619\) 18.8263 + 32.6081i 0.756694 + 1.31063i 0.944528 + 0.328431i \(0.106520\pi\)
−0.187834 + 0.982201i \(0.560147\pi\)
\(620\) −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 0.602597 0.798046i \(-0.294133\pi\)
−0.992426 + 0.122841i \(0.960799\pi\)
\(632\) 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 −0.695147 0.718868i \(-0.744661\pi\)
0.970131 + 0.242581i \(0.0779940\pi\)
\(642\) −2.66674 + 4.61893i −0.105248 + 0.182295i
\(643\) 10.3893 + 17.9948i 0.409714 + 0.709645i 0.994858 0.101284i \(-0.0322952\pi\)
−0.585144 + 0.810930i \(0.698962\pi\)
\(644\) −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 −0.965015 0.262196i \(-0.915553\pi\)
0.255439 0.966825i \(-0.417780\pi\)
\(654\) 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 0.998528 0.0542371i \(-0.0172727\pi\)
−0.546235 + 0.837632i \(0.683939\pi\)
\(660\) −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 −0.965611 0.259990i \(-0.916281\pi\)
0.707964 + 0.706249i \(0.249614\pi\)
\(674\) −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 −0.588567 0.808448i \(-0.700308\pi\)
0.994420 + 0.105490i \(0.0336412\pi\)
\(678\) −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 −0.336476 0.941692i \(-0.609235\pi\)
0.983767 0.179449i \(-0.0574316\pi\)
\(684\) −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 −0.999999 0.00143773i \(-0.999542\pi\)
0.498754 0.866743i \(-0.333791\pi\)
\(692\) −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 −0.883302 0.468805i \(-0.844685\pi\)
0.847648 + 0.530560i \(0.178018\pi\)
\(734\) 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 −0.592376 0.805662i \(-0.701810\pi\)
0.993911 + 0.110182i \(0.0351434\pi\)
\(744\) −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 0.548161 0.836373i \(-0.315328\pi\)
−0.998401 + 0.0565344i \(0.981995\pi\)
\(752\) −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 −0.846440 0.532484i \(-0.821258\pi\)
0.884365 + 0.466796i \(0.154592\pi\)
\(758\) 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 −0.819600 0.572937i \(-0.805804\pi\)
0.905977 + 0.423326i \(0.139137\pi\)
\(770\) 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 −0.945396 0.325923i \(-0.894325\pi\)
0.754956 + 0.655776i \(0.227658\pi\)
\(774\) 5.56257 9.63465i 0.199942 0.346310i
\(775\) −2.06028 + 3.56852i −0.0740076 + 0.128185i
\(776\) 24.0675 + 41.6862i