Properties

Label 483.2.i.h.415.7
Level $483$
Weight $2$
Character 483.415
Analytic conductor $3.857$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 3 x^{19} + 22 x^{18} - 43 x^{17} + 245 x^{16} - 416 x^{15} + 1707 x^{14} - 2021 x^{13} + 7135 x^{12} - 6640 x^{11} + 20315 x^{10} - 10565 x^{9} + 29358 x^{8} - 9009 x^{7} + 30661 x^{6} - 4026 x^{5} + 15786 x^{4} - 84 x^{3} + 5800 x^{2} + 152 x + 4\)
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 415.7
Root \(-0.384545 - 0.666052i\) of defining polynomial
Character \(\chi\) \(=\) 483.415
Dual form 483.2.i.h.277.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.384545 - 0.666052i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.704250 + 1.21980i) q^{4} +(2.01355 - 3.48756i) q^{5} +0.769091 q^{6} +(2.63574 + 0.229917i) q^{7} +2.62145 q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.384545 - 0.666052i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.704250 + 1.21980i) q^{4} +(2.01355 - 3.48756i) q^{5} +0.769091 q^{6} +(2.63574 + 0.229917i) q^{7} +2.62145 q^{8} +(-0.500000 + 0.866025i) q^{9} +(-1.54860 - 2.68225i) q^{10} +(-2.73557 - 4.73814i) q^{11} +(-0.704250 + 1.21980i) q^{12} -4.39956 q^{13} +(1.16670 - 1.66713i) q^{14} +4.02709 q^{15} +(-0.400435 + 0.693574i) q^{16} +(1.12483 + 1.94826i) q^{17} +(0.384545 + 0.666052i) q^{18} +(-1.78076 + 3.08437i) q^{19} +5.67216 q^{20} +(1.11876 + 2.39758i) q^{21} -4.20780 q^{22} +(-0.500000 + 0.866025i) q^{23} +(1.31072 + 2.27024i) q^{24} +(-5.60873 - 9.71461i) q^{25} +(-1.69183 + 2.93033i) q^{26} -1.00000 q^{27} +(1.57577 + 3.37699i) q^{28} -4.70941 q^{29} +(1.54860 - 2.68225i) q^{30} +(5.27462 + 9.13592i) q^{31} +(2.92942 + 5.07390i) q^{32} +(2.73557 - 4.73814i) q^{33} +1.73019 q^{34} +(6.10904 - 8.72937i) q^{35} -1.40850 q^{36} +(1.96275 - 3.39958i) q^{37} +(1.36957 + 2.37216i) q^{38} +(-2.19978 - 3.81013i) q^{39} +(5.27840 - 9.14246i) q^{40} -3.97807 q^{41} +(2.02712 + 0.176827i) q^{42} +2.61087 q^{43} +(3.85304 - 6.67367i) q^{44} +(2.01355 + 3.48756i) q^{45} +(0.384545 + 0.666052i) q^{46} +(0.259175 - 0.448904i) q^{47} -0.800870 q^{48} +(6.89428 + 1.21200i) q^{49} -8.62724 q^{50} +(-1.12483 + 1.94826i) q^{51} +(-3.09839 - 5.36656i) q^{52} +(6.31816 + 10.9434i) q^{53} +(-0.384545 + 0.666052i) q^{54} -22.0328 q^{55} +(6.90945 + 0.602714i) q^{56} -3.56152 q^{57} +(-1.81098 + 3.13671i) q^{58} +(-0.421445 - 0.729964i) q^{59} +(2.83608 + 4.91223i) q^{60} +(-4.50466 + 7.80230i) q^{61} +8.11333 q^{62} +(-1.51698 + 2.16766i) q^{63} +2.90423 q^{64} +(-8.85871 + 15.3437i) q^{65} +(-2.10390 - 3.64406i) q^{66} +(0.699842 + 1.21216i) q^{67} +(-1.58432 + 2.74412i) q^{68} -1.00000 q^{69} +(-3.46501 - 7.42577i) q^{70} -7.10801 q^{71} +(-1.31072 + 2.27024i) q^{72} +(-2.66304 - 4.61252i) q^{73} +(-1.50953 - 2.61458i) q^{74} +(5.60873 - 9.71461i) q^{75} -5.01640 q^{76} +(-6.12087 - 13.1175i) q^{77} -3.38366 q^{78} +(6.72171 - 11.6423i) q^{79} +(1.61259 + 2.79309i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-1.52975 + 2.64960i) q^{82} +3.39713 q^{83} +(-2.13667 + 3.05315i) q^{84} +9.05955 q^{85} +(1.00400 - 1.73898i) q^{86} +(-2.35471 - 4.07847i) q^{87} +(-7.17114 - 12.4208i) q^{88} +(-6.50780 + 11.2718i) q^{89} +3.09720 q^{90} +(-11.5961 - 1.01153i) q^{91} -1.40850 q^{92} +(-5.27462 + 9.13592i) q^{93} +(-0.199329 - 0.345248i) q^{94} +(7.17128 + 12.4210i) q^{95} +(-2.92942 + 5.07390i) q^{96} -6.35615 q^{97} +(3.45842 - 4.12588i) q^{98} +5.47113 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} + O(q^{10}) \) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} - 11q^{10} - 8q^{11} + 15q^{12} + 11q^{14} + 10q^{15} - 37q^{16} + 11q^{17} - 3q^{18} - q^{19} - 30q^{20} + 12q^{22} - 10q^{23} + 9q^{24} - 21q^{25} - q^{26} - 20q^{27} + 44q^{28} + 44q^{29} + 11q^{30} + 3q^{31} - 11q^{32} + 8q^{33} - 6q^{34} - 9q^{35} + 30q^{36} + 3q^{37} - 16q^{38} - 39q^{40} - 52q^{41} + 7q^{42} + 54q^{43} - 16q^{44} + 5q^{45} - 3q^{46} - 11q^{47} - 74q^{48} + 22q^{49} + 4q^{50} - 11q^{51} - 29q^{52} - 5q^{53} + 3q^{54} - 36q^{55} + 43q^{56} - 2q^{57} - 16q^{58} + 10q^{59} - 15q^{60} - 22q^{61} - 64q^{62} + 138q^{64} + 11q^{65} + 6q^{66} + 2q^{67} + 21q^{68} - 20q^{69} + 84q^{70} + 54q^{71} - 9q^{72} + 8q^{73} - 14q^{74} + 21q^{75} - 44q^{76} + 8q^{77} - 2q^{78} - 21q^{79} + 53q^{80} - 10q^{81} - 36q^{82} - 24q^{83} + 25q^{84} + 46q^{85} - 18q^{86} + 22q^{87} + 10q^{88} - 6q^{89} + 22q^{90} - 62q^{91} + 30q^{92} - 3q^{93} - 35q^{94} - 44q^{95} + 11q^{96} + 12q^{97} + 2q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.384545 0.666052i 0.271915 0.470970i −0.697437 0.716646i \(-0.745677\pi\)
0.969352 + 0.245676i \(0.0790098\pi\)
\(3\) 0.500000 + 0.866025i 0.288675 + 0.500000i
\(4\) 0.704250 + 1.21980i 0.352125 + 0.609898i
\(5\) 2.01355 3.48756i 0.900485 1.55969i 0.0736191 0.997286i \(-0.476545\pi\)
0.826866 0.562399i \(-0.190122\pi\)
\(6\) 0.769091 0.313980
\(7\) 2.63574 + 0.229917i 0.996217 + 0.0869003i
\(8\) 2.62145 0.926821
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) −1.54860 2.68225i −0.489710 0.848203i
\(11\) −2.73557 4.73814i −0.824804 1.42860i −0.902069 0.431592i \(-0.857952\pi\)
0.0772644 0.997011i \(-0.475381\pi\)
\(12\) −0.704250 + 1.21980i −0.203299 + 0.352125i
\(13\) −4.39956 −1.22022 −0.610109 0.792318i \(-0.708874\pi\)
−0.610109 + 0.792318i \(0.708874\pi\)
\(14\) 1.16670 1.66713i 0.311813 0.445559i
\(15\) 4.02709 1.03979
\(16\) −0.400435 + 0.693574i −0.100109 + 0.173394i
\(17\) 1.12483 + 1.94826i 0.272810 + 0.472521i 0.969580 0.244773i \(-0.0787135\pi\)
−0.696770 + 0.717295i \(0.745380\pi\)
\(18\) 0.384545 + 0.666052i 0.0906382 + 0.156990i
\(19\) −1.78076 + 3.08437i −0.408534 + 0.707602i −0.994726 0.102570i \(-0.967293\pi\)
0.586191 + 0.810173i \(0.300627\pi\)
\(20\) 5.67216 1.26833
\(21\) 1.11876 + 2.39758i 0.244133 + 0.523194i
\(22\) −4.20780 −0.897105
\(23\) −0.500000 + 0.866025i −0.104257 + 0.180579i
\(24\) 1.31072 + 2.27024i 0.267550 + 0.463410i
\(25\) −5.60873 9.71461i −1.12175 1.94292i
\(26\) −1.69183 + 2.93033i −0.331795 + 0.574686i
\(27\) −1.00000 −0.192450
\(28\) 1.57577 + 3.37699i 0.297792 + 0.638191i
\(29\) −4.70941 −0.874516 −0.437258 0.899336i \(-0.644050\pi\)
−0.437258 + 0.899336i \(0.644050\pi\)
\(30\) 1.54860 2.68225i 0.282734 0.489710i
\(31\) 5.27462 + 9.13592i 0.947350 + 1.64086i 0.750975 + 0.660330i \(0.229584\pi\)
0.196375 + 0.980529i \(0.437083\pi\)
\(32\) 2.92942 + 5.07390i 0.517852 + 0.896947i
\(33\) 2.73557 4.73814i 0.476201 0.824804i
\(34\) 1.73019 0.296724
\(35\) 6.10904 8.72937i 1.03262 1.47553i
\(36\) −1.40850 −0.234750
\(37\) 1.96275 3.39958i 0.322673 0.558887i −0.658365 0.752699i \(-0.728752\pi\)
0.981039 + 0.193812i \(0.0620851\pi\)
\(38\) 1.36957 + 2.37216i 0.222173 + 0.384815i
\(39\) −2.19978 3.81013i −0.352246 0.610109i
\(40\) 5.27840 9.14246i 0.834588 1.44555i
\(41\) −3.97807 −0.621270 −0.310635 0.950529i \(-0.600542\pi\)
−0.310635 + 0.950529i \(0.600542\pi\)
\(42\) 2.02712 + 0.176827i 0.312792 + 0.0272849i
\(43\) 2.61087 0.398155 0.199077 0.979984i \(-0.436206\pi\)
0.199077 + 0.979984i \(0.436206\pi\)
\(44\) 3.85304 6.67367i 0.580868 1.00609i
\(45\) 2.01355 + 3.48756i 0.300162 + 0.519895i
\(46\) 0.384545 + 0.666052i 0.0566981 + 0.0982040i
\(47\) 0.259175 0.448904i 0.0378046 0.0654794i −0.846504 0.532382i \(-0.821297\pi\)
0.884309 + 0.466903i \(0.154630\pi\)
\(48\) −0.800870 −0.115596
\(49\) 6.89428 + 1.21200i 0.984897 + 0.173143i
\(50\) −8.62724 −1.22008
\(51\) −1.12483 + 1.94826i −0.157507 + 0.272810i
\(52\) −3.09839 5.36656i −0.429669 0.744208i
\(53\) 6.31816 + 10.9434i 0.867865 + 1.50319i 0.864174 + 0.503194i \(0.167842\pi\)
0.00369181 + 0.999993i \(0.498825\pi\)
\(54\) −0.384545 + 0.666052i −0.0523300 + 0.0906382i
\(55\) −22.0328 −2.97090
\(56\) 6.90945 + 0.602714i 0.923315 + 0.0805410i
\(57\) −3.56152 −0.471735
\(58\) −1.81098 + 3.13671i −0.237794 + 0.411871i
\(59\) −0.421445 0.729964i −0.0548675 0.0950332i 0.837287 0.546763i \(-0.184140\pi\)
−0.892155 + 0.451730i \(0.850807\pi\)
\(60\) 2.83608 + 4.91223i 0.366136 + 0.634166i
\(61\) −4.50466 + 7.80230i −0.576762 + 0.998982i 0.419085 + 0.907947i \(0.362351\pi\)
−0.995848 + 0.0910347i \(0.970983\pi\)
\(62\) 8.11333 1.03039
\(63\) −1.51698 + 2.16766i −0.191122 + 0.273100i
\(64\) 2.90423 0.363029
\(65\) −8.85871 + 15.3437i −1.09879 + 1.90316i
\(66\) −2.10390 3.64406i −0.258972 0.448553i
\(67\) 0.699842 + 1.21216i 0.0854993 + 0.148089i 0.905604 0.424125i \(-0.139418\pi\)
−0.820105 + 0.572214i \(0.806085\pi\)
\(68\) −1.58432 + 2.74412i −0.192127 + 0.332773i
\(69\) −1.00000 −0.120386
\(70\) −3.46501 7.42577i −0.414148 0.887550i
\(71\) −7.10801 −0.843565 −0.421783 0.906697i \(-0.638596\pi\)
−0.421783 + 0.906697i \(0.638596\pi\)
\(72\) −1.31072 + 2.27024i −0.154470 + 0.267550i
\(73\) −2.66304 4.61252i −0.311685 0.539854i 0.667042 0.745020i \(-0.267560\pi\)
−0.978727 + 0.205166i \(0.934227\pi\)
\(74\) −1.50953 2.61458i −0.175479 0.303939i
\(75\) 5.60873 9.71461i 0.647640 1.12175i
\(76\) −5.01640 −0.575420
\(77\) −6.12087 13.1175i −0.697538 1.49487i
\(78\) −3.38366 −0.383124
\(79\) 6.72171 11.6423i 0.756251 1.30987i −0.188498 0.982073i \(-0.560362\pi\)
0.944750 0.327792i \(-0.106305\pi\)
\(80\) 1.61259 + 2.79309i 0.180293 + 0.312277i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −1.52975 + 2.64960i −0.168932 + 0.292600i
\(83\) 3.39713 0.372883 0.186442 0.982466i \(-0.440304\pi\)
0.186442 + 0.982466i \(0.440304\pi\)
\(84\) −2.13667 + 3.05315i −0.233130 + 0.333126i
\(85\) 9.05955 0.982646
\(86\) 1.00400 1.73898i 0.108264 0.187519i
\(87\) −2.35471 4.07847i −0.252451 0.437258i
\(88\) −7.17114 12.4208i −0.764446 1.32406i
\(89\) −6.50780 + 11.2718i −0.689826 + 1.19481i 0.282068 + 0.959394i \(0.408980\pi\)
−0.971894 + 0.235419i \(0.924354\pi\)
\(90\) 3.09720 0.326473
\(91\) −11.5961 1.01153i −1.21560 0.106037i
\(92\) −1.40850 −0.146846
\(93\) −5.27462 + 9.13592i −0.546953 + 0.947350i
\(94\) −0.199329 0.345248i −0.0205592 0.0356096i
\(95\) 7.17128 + 12.4210i 0.735758 + 1.27437i
\(96\) −2.92942 + 5.07390i −0.298982 + 0.517852i
\(97\) −6.35615 −0.645369 −0.322684 0.946507i \(-0.604585\pi\)
−0.322684 + 0.946507i \(0.604585\pi\)
\(98\) 3.45842 4.12588i 0.349353 0.416777i
\(99\) 5.47113 0.549870
\(100\) 7.89990 13.6830i 0.789990 1.36830i
\(101\) −1.41794 2.45594i −0.141090 0.244375i 0.786817 0.617186i \(-0.211727\pi\)
−0.927907 + 0.372811i \(0.878394\pi\)
\(102\) 0.865093 + 1.49838i 0.0856570 + 0.148362i
\(103\) −5.29469 + 9.17067i −0.521701 + 0.903613i 0.477980 + 0.878371i \(0.341369\pi\)
−0.999681 + 0.0252423i \(0.991964\pi\)
\(104\) −11.5332 −1.13092
\(105\) 10.6144 + 0.925895i 1.03586 + 0.0903581i
\(106\) 9.71847 0.943941
\(107\) 9.42702 16.3281i 0.911344 1.57849i 0.0991766 0.995070i \(-0.468379\pi\)
0.812167 0.583424i \(-0.198288\pi\)
\(108\) −0.704250 1.21980i −0.0677665 0.117375i
\(109\) −5.56722 9.64271i −0.533243 0.923604i −0.999246 0.0388209i \(-0.987640\pi\)
0.466003 0.884783i \(-0.345694\pi\)
\(110\) −8.47259 + 14.6750i −0.807830 + 1.39920i
\(111\) 3.92549 0.372591
\(112\) −1.21491 + 1.73602i −0.114798 + 0.164038i
\(113\) −1.29979 −0.122274 −0.0611370 0.998129i \(-0.519473\pi\)
−0.0611370 + 0.998129i \(0.519473\pi\)
\(114\) −1.36957 + 2.37216i −0.128272 + 0.222173i
\(115\) 2.01355 + 3.48756i 0.187764 + 0.325217i
\(116\) −3.31660 5.74453i −0.307939 0.533366i
\(117\) 2.19978 3.81013i 0.203370 0.352246i
\(118\) −0.648259 −0.0596771
\(119\) 2.51681 + 5.39371i 0.230716 + 0.494441i
\(120\) 10.5568 0.963699
\(121\) −9.46665 + 16.3967i −0.860604 + 1.49061i
\(122\) 3.46449 + 6.00067i 0.313660 + 0.543275i
\(123\) −1.98904 3.44511i −0.179345 0.310635i
\(124\) −7.42931 + 12.8679i −0.667171 + 1.15557i
\(125\) −25.0383 −2.23949
\(126\) 0.860426 + 1.84395i 0.0766528 + 0.164273i
\(127\) −0.0947076 −0.00840394 −0.00420197 0.999991i \(-0.501338\pi\)
−0.00420197 + 0.999991i \(0.501338\pi\)
\(128\) −4.74202 + 8.21343i −0.419140 + 0.725971i
\(129\) 1.30544 + 2.26108i 0.114937 + 0.199077i
\(130\) 6.81315 + 11.8007i 0.597553 + 1.03499i
\(131\) 6.86302 11.8871i 0.599625 1.03858i −0.393251 0.919431i \(-0.628650\pi\)
0.992876 0.119150i \(-0.0380169\pi\)
\(132\) 7.70609 0.670729
\(133\) −5.40277 + 7.72017i −0.468480 + 0.669424i
\(134\) 1.07648 0.0929941
\(135\) −2.01355 + 3.48756i −0.173298 + 0.300162i
\(136\) 2.94867 + 5.10724i 0.252846 + 0.437943i
\(137\) 0.515909 + 0.893580i 0.0440771 + 0.0763437i 0.887222 0.461342i \(-0.152632\pi\)
−0.843145 + 0.537686i \(0.819299\pi\)
\(138\) −0.384545 + 0.666052i −0.0327347 + 0.0566981i
\(139\) 0.281873 0.0239081 0.0119541 0.999929i \(-0.496195\pi\)
0.0119541 + 0.999929i \(0.496195\pi\)
\(140\) 14.9503 + 1.30412i 1.26353 + 0.110218i
\(141\) 0.518350 0.0436530
\(142\) −2.73335 + 4.73430i −0.229378 + 0.397294i
\(143\) 12.0353 + 20.8457i 1.00644 + 1.74321i
\(144\) −0.400435 0.693574i −0.0333696 0.0577978i
\(145\) −9.48262 + 16.4244i −0.787489 + 1.36397i
\(146\) −4.09623 −0.339007
\(147\) 2.39751 + 6.57662i 0.197744 + 0.542430i
\(148\) 5.52905 0.454485
\(149\) 2.85125 4.93851i 0.233584 0.404579i −0.725277 0.688458i \(-0.758288\pi\)
0.958860 + 0.283879i \(0.0916214\pi\)
\(150\) −4.31362 7.47141i −0.352206 0.610038i
\(151\) −1.43814 2.49093i −0.117034 0.202709i 0.801557 0.597919i \(-0.204005\pi\)
−0.918591 + 0.395209i \(0.870672\pi\)
\(152\) −4.66816 + 8.08550i −0.378638 + 0.655821i
\(153\) −2.24965 −0.181874
\(154\) −11.0907 0.967442i −0.893712 0.0779587i
\(155\) 42.4828 3.41230
\(156\) 3.09839 5.36656i 0.248069 0.429669i
\(157\) −8.37042 14.4980i −0.668032 1.15707i −0.978454 0.206466i \(-0.933804\pi\)
0.310422 0.950599i \(-0.399530\pi\)
\(158\) −5.16960 8.95402i −0.411272 0.712343i
\(159\) −6.31816 + 10.9434i −0.501062 + 0.867865i
\(160\) 23.5940 1.86527
\(161\) −1.51698 + 2.16766i −0.119555 + 0.170836i
\(162\) −0.769091 −0.0604255
\(163\) 0.343687 0.595284i 0.0269197 0.0466262i −0.852252 0.523132i \(-0.824764\pi\)
0.879171 + 0.476506i \(0.158097\pi\)
\(164\) −2.80156 4.85244i −0.218765 0.378912i
\(165\) −11.0164 19.0809i −0.857624 1.48545i
\(166\) 1.30635 2.26267i 0.101392 0.175617i
\(167\) −12.4022 −0.959714 −0.479857 0.877347i \(-0.659312\pi\)
−0.479857 + 0.877347i \(0.659312\pi\)
\(168\) 2.93276 + 6.28512i 0.226267 + 0.484908i
\(169\) 6.35609 0.488930
\(170\) 3.48381 6.03413i 0.267196 0.462797i
\(171\) −1.78076 3.08437i −0.136178 0.235867i
\(172\) 1.83871 + 3.18473i 0.140200 + 0.242834i
\(173\) 1.60350 2.77735i 0.121912 0.211158i −0.798610 0.601850i \(-0.794431\pi\)
0.920522 + 0.390691i \(0.127764\pi\)
\(174\) −3.62197 −0.274581
\(175\) −12.5496 26.8947i −0.948662 2.03305i
\(176\) 4.38167 0.330281
\(177\) 0.421445 0.729964i 0.0316777 0.0548675i
\(178\) 5.00509 + 8.66907i 0.375147 + 0.649774i
\(179\) −5.57358 9.65373i −0.416589 0.721553i 0.579005 0.815324i \(-0.303441\pi\)
−0.995594 + 0.0937708i \(0.970108\pi\)
\(180\) −2.83608 + 4.91223i −0.211389 + 0.366136i
\(181\) 18.5663 1.38002 0.690011 0.723799i \(-0.257606\pi\)
0.690011 + 0.723799i \(0.257606\pi\)
\(182\) −5.13296 + 7.33462i −0.380480 + 0.543678i
\(183\) −9.00931 −0.665988
\(184\) −1.31072 + 2.27024i −0.0966277 + 0.167364i
\(185\) −7.90416 13.6904i −0.581125 1.00654i
\(186\) 4.05666 + 7.02635i 0.297449 + 0.515197i
\(187\) 6.15407 10.6592i 0.450030 0.779475i
\(188\) 0.730096 0.0532477
\(189\) −2.63574 0.229917i −0.191722 0.0167240i
\(190\) 11.0307 0.800253
\(191\) 11.4693 19.8655i 0.829892 1.43742i −0.0682304 0.997670i \(-0.521735\pi\)
0.898122 0.439746i \(-0.144931\pi\)
\(192\) 1.45212 + 2.51514i 0.104797 + 0.181514i
\(193\) 5.06476 + 8.77242i 0.364569 + 0.631453i 0.988707 0.149862i \(-0.0478829\pi\)
−0.624138 + 0.781314i \(0.714550\pi\)
\(194\) −2.44423 + 4.23352i −0.175485 + 0.303949i
\(195\) −17.7174 −1.26877
\(196\) 3.37690 + 9.26317i 0.241207 + 0.661655i
\(197\) −4.51568 −0.321729 −0.160864 0.986977i \(-0.551428\pi\)
−0.160864 + 0.986977i \(0.551428\pi\)
\(198\) 2.10390 3.64406i 0.149518 0.258972i
\(199\) −10.4038 18.0199i −0.737506 1.27740i −0.953615 0.301029i \(-0.902670\pi\)
0.216109 0.976369i \(-0.430663\pi\)
\(200\) −14.7030 25.4663i −1.03966 1.80074i
\(201\) −0.699842 + 1.21216i −0.0493631 + 0.0854993i
\(202\) −2.18104 −0.153458
\(203\) −12.4128 1.08277i −0.871208 0.0759957i
\(204\) −3.16863 −0.221849
\(205\) −8.01003 + 13.8738i −0.559445 + 0.968986i
\(206\) 4.07209 + 7.05308i 0.283716 + 0.491411i
\(207\) −0.500000 0.866025i −0.0347524 0.0601929i
\(208\) 1.76174 3.05142i 0.122154 0.211578i
\(209\) 19.4856 1.34784
\(210\) 4.69840 6.71368i 0.324221 0.463288i
\(211\) 26.2315 1.80585 0.902925 0.429799i \(-0.141416\pi\)
0.902925 + 0.429799i \(0.141416\pi\)
\(212\) −8.89912 + 15.4137i −0.611194 + 1.05862i
\(213\) −3.55400 6.15572i −0.243516 0.421783i
\(214\) −7.25023 12.5578i −0.495615 0.858431i
\(215\) 5.25711 9.10559i 0.358532 0.620996i
\(216\) −2.62145 −0.178367
\(217\) 11.8021 + 25.2926i 0.801176 + 1.71698i
\(218\) −8.56339 −0.579986
\(219\) 2.66304 4.61252i 0.179951 0.311685i
\(220\) −15.5166 26.8755i −1.04613 1.81194i
\(221\) −4.94873 8.57146i −0.332888 0.576579i
\(222\) 1.50953 2.61458i 0.101313 0.175479i
\(223\) −1.20377 −0.0806102 −0.0403051 0.999187i \(-0.512833\pi\)
−0.0403051 + 0.999187i \(0.512833\pi\)
\(224\) 6.55461 + 14.0470i 0.437949 + 0.938555i
\(225\) 11.2175 0.747831
\(226\) −0.499829 + 0.865729i −0.0332481 + 0.0575874i
\(227\) −7.12657 12.3436i −0.473007 0.819273i 0.526515 0.850166i \(-0.323498\pi\)
−0.999523 + 0.0308929i \(0.990165\pi\)
\(228\) −2.50820 4.34433i −0.166110 0.287710i
\(229\) −6.17854 + 10.7015i −0.408289 + 0.707178i −0.994698 0.102837i \(-0.967208\pi\)
0.586409 + 0.810015i \(0.300541\pi\)
\(230\) 3.09720 0.204223
\(231\) 8.29963 11.8596i 0.546075 0.780302i
\(232\) −12.3455 −0.810520
\(233\) −5.99138 + 10.3774i −0.392508 + 0.679844i −0.992780 0.119952i \(-0.961726\pi\)
0.600271 + 0.799796i \(0.295059\pi\)
\(234\) −1.69183 2.93033i −0.110598 0.191562i
\(235\) −1.04372 1.80778i −0.0680849 0.117926i
\(236\) 0.593605 1.02815i 0.0386404 0.0669271i
\(237\) 13.4434 0.873244
\(238\) 4.56032 + 0.397798i 0.295602 + 0.0257854i
\(239\) 6.53934 0.422995 0.211497 0.977379i \(-0.432166\pi\)
0.211497 + 0.977379i \(0.432166\pi\)
\(240\) −1.61259 + 2.79309i −0.104092 + 0.180293i
\(241\) −0.250032 0.433069i −0.0161060 0.0278964i 0.857860 0.513883i \(-0.171794\pi\)
−0.873966 + 0.485987i \(0.838460\pi\)
\(242\) 7.28071 + 12.6106i 0.468022 + 0.810638i
\(243\) 0.500000 0.866025i 0.0320750 0.0555556i
\(244\) −12.6896 −0.812369
\(245\) 18.1089 21.6038i 1.15693 1.38022i
\(246\) −3.05950 −0.195066
\(247\) 7.83455 13.5698i 0.498501 0.863428i
\(248\) 13.8271 + 23.9493i 0.878024 + 1.52078i
\(249\) 1.69857 + 2.94200i 0.107642 + 0.186442i
\(250\) −9.62835 + 16.6768i −0.608951 + 1.05473i
\(251\) 5.10076 0.321957 0.160978 0.986958i \(-0.448535\pi\)
0.160978 + 0.986958i \(0.448535\pi\)
\(252\) −3.71244 0.323837i −0.233862 0.0203998i
\(253\) 5.47113 0.343967
\(254\) −0.0364194 + 0.0630802i −0.00228515 + 0.00395800i
\(255\) 4.52978 + 7.84580i 0.283666 + 0.491323i
\(256\) 6.55128 + 11.3471i 0.409455 + 0.709197i
\(257\) 4.42971 7.67248i 0.276318 0.478596i −0.694149 0.719831i \(-0.744219\pi\)
0.970467 + 0.241235i \(0.0775525\pi\)
\(258\) 2.00800 0.125013
\(259\) 5.95491 8.50914i 0.370020 0.528732i
\(260\) −24.9550 −1.54764
\(261\) 2.35471 4.07847i 0.145753 0.252451i
\(262\) −5.27829 9.14226i −0.326094 0.564811i
\(263\) −13.0804 22.6559i −0.806573 1.39703i −0.915224 0.402945i \(-0.867987\pi\)
0.108651 0.994080i \(-0.465347\pi\)
\(264\) 7.17114 12.4208i 0.441353 0.764446i
\(265\) 50.8876 3.12600
\(266\) 3.06442 + 6.56728i 0.187892 + 0.402666i
\(267\) −13.0156 −0.796542
\(268\) −0.985728 + 1.70733i −0.0602129 + 0.104292i
\(269\) 7.87844 + 13.6459i 0.480357 + 0.832002i 0.999746 0.0225354i \(-0.00717385\pi\)
−0.519389 + 0.854538i \(0.673841\pi\)
\(270\) 1.54860 + 2.68225i 0.0942447 + 0.163237i
\(271\) 2.97558 5.15386i 0.180754 0.313075i −0.761384 0.648302i \(-0.775480\pi\)
0.942137 + 0.335227i \(0.108813\pi\)
\(272\) −1.80168 −0.109243
\(273\) −4.92204 10.5483i −0.297895 0.638411i
\(274\) 0.793561 0.0479408
\(275\) −30.6861 + 53.1499i −1.85044 + 3.20506i
\(276\) −0.704250 1.21980i −0.0423909 0.0734231i
\(277\) −7.61827 13.1952i −0.457738 0.792825i 0.541103 0.840956i \(-0.318007\pi\)
−0.998841 + 0.0481311i \(0.984673\pi\)
\(278\) 0.108393 0.187742i 0.00650097 0.0112600i
\(279\) −10.5492 −0.631567
\(280\) 16.0145 22.8836i 0.957050 1.36755i
\(281\) 1.78254 0.106338 0.0531688 0.998586i \(-0.483068\pi\)
0.0531688 + 0.998586i \(0.483068\pi\)
\(282\) 0.199329 0.345248i 0.0118699 0.0205592i
\(283\) 9.99956 + 17.3197i 0.594412 + 1.02955i 0.993630 + 0.112696i \(0.0359485\pi\)
−0.399218 + 0.916856i \(0.630718\pi\)
\(284\) −5.00581 8.67032i −0.297040 0.514489i
\(285\) −7.17128 + 12.4210i −0.424790 + 0.735758i
\(286\) 18.5124 1.09466
\(287\) −10.4852 0.914624i −0.618920 0.0539886i
\(288\) −5.85883 −0.345235
\(289\) 5.96953 10.3395i 0.351149 0.608208i
\(290\) 7.29299 + 12.6318i 0.428259 + 0.741767i
\(291\) −3.17807 5.50458i −0.186302 0.322684i
\(292\) 3.75089 6.49673i 0.219504 0.380192i
\(293\) −17.4319 −1.01838 −0.509191 0.860653i \(-0.670055\pi\)
−0.509191 + 0.860653i \(0.670055\pi\)
\(294\) 5.30232 + 0.932139i 0.309238 + 0.0543635i
\(295\) −3.39439 −0.197629
\(296\) 5.14523 8.91180i 0.299060 0.517988i
\(297\) 2.73557 + 4.73814i 0.158734 + 0.274935i
\(298\) −2.19287 3.79816i −0.127030 0.220022i
\(299\) 2.19978 3.81013i 0.127216 0.220345i
\(300\) 15.7998 0.912201
\(301\) 6.88159 + 0.600283i 0.396648 + 0.0345997i
\(302\) −2.21212 −0.127293
\(303\) 1.41794 2.45594i 0.0814582 0.141090i
\(304\) −1.42616 2.47018i −0.0817958 0.141674i
\(305\) 18.1407 + 31.4206i 1.03873 + 1.79914i
\(306\) −0.865093 + 1.49838i −0.0494541 + 0.0856570i
\(307\) −22.1407 −1.26363 −0.631817 0.775117i \(-0.717691\pi\)
−0.631817 + 0.775117i \(0.717691\pi\)
\(308\) 11.6900 16.7042i 0.666101 0.951810i
\(309\) −10.5894 −0.602409
\(310\) 16.3366 28.2957i 0.927854 1.60709i
\(311\) 3.44517 + 5.96722i 0.195358 + 0.338370i 0.947018 0.321181i \(-0.104080\pi\)
−0.751660 + 0.659551i \(0.770746\pi\)
\(312\) −5.76660 9.98804i −0.326469 0.565461i
\(313\) −6.78694 + 11.7553i −0.383620 + 0.664450i −0.991577 0.129520i \(-0.958656\pi\)
0.607956 + 0.793970i \(0.291990\pi\)
\(314\) −12.8752 −0.726591
\(315\) 4.50534 + 9.65527i 0.253847 + 0.544013i
\(316\) 18.9350 1.06518
\(317\) 12.3294 21.3551i 0.692486 1.19942i −0.278534 0.960426i \(-0.589849\pi\)
0.971021 0.238995i \(-0.0768181\pi\)
\(318\) 4.85923 + 8.41644i 0.272492 + 0.471971i
\(319\) 12.8829 + 22.3139i 0.721305 + 1.24934i
\(320\) 5.84780 10.1287i 0.326902 0.566211i
\(321\) 18.8540 1.05233
\(322\) 0.860426 + 1.84395i 0.0479497 + 0.102760i
\(323\) −8.01218 −0.445810
\(324\) 0.704250 1.21980i 0.0391250 0.0677665i
\(325\) 24.6759 + 42.7400i 1.36877 + 2.37079i
\(326\) −0.264327 0.457827i −0.0146397 0.0253567i
\(327\) 5.56722 9.64271i 0.307868 0.533243i
\(328\) −10.4283 −0.575806
\(329\) 0.786329 1.12361i 0.0433517 0.0619465i
\(330\) −16.9452 −0.932802
\(331\) −11.4838 + 19.8905i −0.631207 + 1.09328i 0.356099 + 0.934448i \(0.384107\pi\)
−0.987305 + 0.158834i \(0.949227\pi\)
\(332\) 2.39243 + 4.14381i 0.131302 + 0.227421i
\(333\) 1.96275 + 3.39958i 0.107558 + 0.186296i
\(334\) −4.76922 + 8.26054i −0.260960 + 0.451997i
\(335\) 5.63666 0.307963
\(336\) −2.11089 0.184133i −0.115158 0.0100453i
\(337\) −19.9238 −1.08532 −0.542659 0.839953i \(-0.682582\pi\)
−0.542659 + 0.839953i \(0.682582\pi\)
\(338\) 2.44420 4.23349i 0.132947 0.230271i
\(339\) −0.649896 1.12565i −0.0352975 0.0611370i
\(340\) 6.38019 + 11.0508i 0.346014 + 0.599314i
\(341\) 28.8582 49.9838i 1.56276 2.70678i
\(342\) −2.73913 −0.148115
\(343\) 17.8929 + 4.77963i 0.966125 + 0.258076i
\(344\) 6.84426 0.369018
\(345\) −2.01355 + 3.48756i −0.108406 + 0.187764i
\(346\) −1.23324 2.13603i −0.0662994 0.114834i
\(347\) −6.31573 10.9392i −0.339046 0.587246i 0.645207 0.764008i \(-0.276771\pi\)
−0.984254 + 0.176762i \(0.943438\pi\)
\(348\) 3.31660 5.74453i 0.177789 0.307939i
\(349\) 14.9697 0.801308 0.400654 0.916229i \(-0.368783\pi\)
0.400654 + 0.916229i \(0.368783\pi\)
\(350\) −22.7392 1.98355i −1.21546 0.106025i
\(351\) 4.39956 0.234831
\(352\) 16.0272 27.7600i 0.854254 1.47961i
\(353\) −1.36603 2.36603i −0.0727064 0.125931i 0.827380 0.561642i \(-0.189830\pi\)
−0.900087 + 0.435711i \(0.856497\pi\)
\(354\) −0.324129 0.561409i −0.0172273 0.0298385i
\(355\) −14.3123 + 24.7896i −0.759618 + 1.31570i
\(356\) −18.3325 −0.971619
\(357\) −3.41269 + 4.87648i −0.180619 + 0.258091i
\(358\) −8.57318 −0.453107
\(359\) −8.33886 + 14.4433i −0.440108 + 0.762290i −0.997697 0.0678274i \(-0.978393\pi\)
0.557589 + 0.830117i \(0.311727\pi\)
\(360\) 5.27840 + 9.14246i 0.278196 + 0.481850i
\(361\) 3.15779 + 5.46945i 0.166199 + 0.287866i
\(362\) 7.13959 12.3661i 0.375248 0.649949i
\(363\) −18.9333 −0.993740
\(364\) −6.93269 14.8572i −0.363372 0.778731i
\(365\) −21.4486 −1.12267
\(366\) −3.46449 + 6.00067i −0.181092 + 0.313660i
\(367\) 14.0388 + 24.3158i 0.732817 + 1.26928i 0.955674 + 0.294425i \(0.0951283\pi\)
−0.222857 + 0.974851i \(0.571538\pi\)
\(368\) −0.400435 0.693574i −0.0208741 0.0361551i
\(369\) 1.98904 3.44511i 0.103545 0.179345i
\(370\) −12.1580 −0.632066
\(371\) 14.1370 + 30.2965i 0.733955 + 1.57292i
\(372\) −14.8586 −0.770383
\(373\) −11.1699 + 19.3468i −0.578356 + 1.00174i 0.417312 + 0.908763i \(0.362972\pi\)
−0.995668 + 0.0929784i \(0.970361\pi\)
\(374\) −4.73304 8.19786i −0.244740 0.423901i
\(375\) −12.5191 21.6838i −0.646486 1.11975i
\(376\) 0.679413 1.17678i 0.0350381 0.0606877i
\(377\) 20.7193 1.06710
\(378\) −1.16670 + 1.66713i −0.0600085 + 0.0857478i
\(379\) 27.7949 1.42773 0.713864 0.700284i \(-0.246943\pi\)
0.713864 + 0.700284i \(0.246943\pi\)
\(380\) −10.1007 + 17.4950i −0.518157 + 0.897475i
\(381\) −0.0473538 0.0820192i −0.00242601 0.00420197i
\(382\) −8.82096 15.2783i −0.451319 0.781708i
\(383\) −3.29578 + 5.70845i −0.168406 + 0.291688i −0.937860 0.347015i \(-0.887195\pi\)
0.769453 + 0.638703i \(0.220529\pi\)
\(384\) −9.48405 −0.483981
\(385\) −58.0727 5.06569i −2.95966 0.258172i
\(386\) 7.79052 0.396527
\(387\) −1.30544 + 2.26108i −0.0663591 + 0.114937i
\(388\) −4.47632 7.75321i −0.227250 0.393609i
\(389\) −4.49456 7.78481i −0.227883 0.394706i 0.729297 0.684197i \(-0.239847\pi\)
−0.957181 + 0.289491i \(0.906514\pi\)
\(390\) −6.81315 + 11.8007i −0.344997 + 0.597553i
\(391\) −2.24965 −0.113770
\(392\) 18.0730 + 3.17720i 0.912823 + 0.160473i
\(393\) 13.7260 0.692387
\(394\) −1.73648 + 3.00767i −0.0874827 + 0.151524i
\(395\) −27.0689 46.8848i −1.36199 2.35903i
\(396\) 3.85304 + 6.67367i 0.193623 + 0.335364i
\(397\) 1.27586 2.20985i 0.0640334 0.110909i −0.832231 0.554428i \(-0.812937\pi\)
0.896265 + 0.443519i \(0.146270\pi\)
\(398\) −16.0029 −0.802155
\(399\) −9.38725 0.818852i −0.469950 0.0409939i
\(400\) 8.98373 0.449187
\(401\) −18.6811 + 32.3567i −0.932892 + 1.61582i −0.154540 + 0.987986i \(0.549390\pi\)
−0.778351 + 0.627829i \(0.783944\pi\)
\(402\) 0.538242 + 0.932263i 0.0268451 + 0.0464970i
\(403\) −23.2060 40.1940i −1.15597 2.00220i
\(404\) 1.99716 3.45918i 0.0993625 0.172101i
\(405\) −4.02709 −0.200108
\(406\) −5.49447 + 7.85120i −0.272686 + 0.389648i
\(407\) −21.4769 −1.06457
\(408\) −2.94867 + 5.10724i −0.145981 + 0.252846i
\(409\) 5.38652 + 9.32973i 0.266346 + 0.461326i 0.967916 0.251276i \(-0.0808501\pi\)
−0.701569 + 0.712601i \(0.747517\pi\)
\(410\) 6.16044 + 10.6702i 0.304242 + 0.526963i
\(411\) −0.515909 + 0.893580i −0.0254479 + 0.0440771i
\(412\) −14.9151 −0.734816
\(413\) −0.942990 2.02089i −0.0464015 0.0994417i
\(414\) −0.769091 −0.0377987
\(415\) 6.84028 11.8477i 0.335776 0.581581i
\(416\) −12.8881 22.3229i −0.631893 1.09447i
\(417\) 0.140936 + 0.244109i 0.00690168 + 0.0119541i
\(418\) 7.49308 12.9784i 0.366498 0.634794i
\(419\) 19.8186 0.968200 0.484100 0.875013i \(-0.339147\pi\)
0.484100 + 0.875013i \(0.339147\pi\)
\(420\) 6.34577 + 13.5994i 0.309642 + 0.663585i
\(421\) 3.68979 0.179830 0.0899148 0.995949i \(-0.471341\pi\)
0.0899148 + 0.995949i \(0.471341\pi\)
\(422\) 10.0872 17.4715i 0.491037 0.850501i
\(423\) 0.259175 + 0.448904i 0.0126015 + 0.0218265i
\(424\) 16.5627 + 28.6874i 0.804356 + 1.39318i
\(425\) 12.6177 21.8545i 0.612048 1.06010i
\(426\) −5.46670 −0.264863
\(427\) −13.6670 + 19.5291i −0.661392 + 0.945082i
\(428\) 26.5559 1.28363
\(429\) −12.0353 + 20.8457i −0.581069 + 1.00644i
\(430\) −4.04320 7.00302i −0.194980 0.337716i
\(431\) −4.59503 7.95882i −0.221335 0.383363i 0.733879 0.679280i \(-0.237708\pi\)
−0.955213 + 0.295918i \(0.904375\pi\)
\(432\) 0.400435 0.693574i 0.0192659 0.0333696i
\(433\) 33.6161 1.61549 0.807743 0.589535i \(-0.200689\pi\)
0.807743 + 0.589535i \(0.200689\pi\)
\(434\) 21.3846 + 1.86539i 1.02650 + 0.0895415i
\(435\) −18.9652 −0.909313
\(436\) 7.84143 13.5818i 0.375536 0.650448i
\(437\) −1.78076 3.08437i −0.0851853 0.147545i
\(438\) −2.04812 3.54744i −0.0978628 0.169503i
\(439\) 1.15356 1.99803i 0.0550565 0.0953606i −0.837184 0.546922i \(-0.815799\pi\)
0.892240 + 0.451561i \(0.149133\pi\)
\(440\) −57.7576 −2.75349
\(441\) −4.49676 + 5.36462i −0.214132 + 0.255458i
\(442\) −7.61205 −0.362068
\(443\) 5.69780 9.86889i 0.270711 0.468885i −0.698333 0.715773i \(-0.746075\pi\)
0.969044 + 0.246888i \(0.0794079\pi\)
\(444\) 2.76453 + 4.78830i 0.131199 + 0.227243i
\(445\) 26.2075 + 45.3928i 1.24236 + 2.15182i
\(446\) −0.462903 + 0.801771i −0.0219191 + 0.0379650i
\(447\) 5.70250 0.269719
\(448\) 7.65481 + 0.667731i 0.361656 + 0.0315473i
\(449\) 3.16307 0.149275 0.0746373 0.997211i \(-0.476220\pi\)
0.0746373 + 0.997211i \(0.476220\pi\)
\(450\) 4.31362 7.47141i 0.203346 0.352206i
\(451\) 10.8823 + 18.8487i 0.512426 + 0.887549i
\(452\) −0.915378 1.58548i −0.0430557 0.0745747i
\(453\) 1.43814 2.49093i 0.0675698 0.117034i
\(454\) −10.9620 −0.514470
\(455\) −26.8770 + 38.4054i −1.26002 + 1.80047i
\(456\) −9.33633 −0.437214
\(457\) −5.45681 + 9.45147i −0.255259 + 0.442121i −0.964966 0.262376i \(-0.915494\pi\)
0.709707 + 0.704497i \(0.248827\pi\)
\(458\) 4.75185 + 8.23045i 0.222040 + 0.384584i
\(459\) −1.12483 1.94826i −0.0525024 0.0909368i
\(460\) −2.83608 + 4.91223i −0.132233 + 0.229034i
\(461\) 34.5807 1.61058 0.805291 0.592880i \(-0.202009\pi\)
0.805291 + 0.592880i \(0.202009\pi\)
\(462\) −4.70751 10.0885i −0.219013 0.469361i
\(463\) −1.07364 −0.0498961 −0.0249480 0.999689i \(-0.507942\pi\)
−0.0249480 + 0.999689i \(0.507942\pi\)
\(464\) 1.88581 3.26633i 0.0875468 0.151635i
\(465\) 21.2414 + 36.7912i 0.985046 + 1.70615i
\(466\) 4.60791 + 7.98114i 0.213457 + 0.369719i
\(467\) 6.74418 11.6813i 0.312083 0.540544i −0.666730 0.745299i \(-0.732307\pi\)
0.978813 + 0.204755i \(0.0656399\pi\)
\(468\) 6.19677 0.286446
\(469\) 1.56591 + 3.35585i 0.0723069 + 0.154959i
\(470\) −1.60543 −0.0740531
\(471\) 8.37042 14.4980i 0.385688 0.668032i
\(472\) −1.10479 1.91356i −0.0508523 0.0880788i
\(473\) −7.14222 12.3707i −0.328400 0.568805i
\(474\) 5.16960 8.95402i 0.237448 0.411272i
\(475\) 39.9512 1.83309
\(476\) −4.80677 + 6.86852i −0.220318 + 0.314818i
\(477\) −12.6363 −0.578577
\(478\) 2.51467 4.35554i 0.115018 0.199218i
\(479\) 3.15470 + 5.46409i 0.144142 + 0.249661i 0.929052 0.369948i \(-0.120625\pi\)
−0.784911 + 0.619609i \(0.787291\pi\)
\(480\) 11.7970 + 20.4330i 0.538458 + 0.932637i
\(481\) −8.63521 + 14.9566i −0.393732 + 0.681963i
\(482\) −0.384595 −0.0175178
\(483\) −2.63574 0.229917i −0.119930 0.0104616i
\(484\) −26.6675 −1.21216
\(485\) −12.7984 + 22.1675i −0.581145 + 1.00657i
\(486\) −0.384545 0.666052i −0.0174433 0.0302127i
\(487\) 9.29842 + 16.1053i 0.421352 + 0.729803i 0.996072 0.0885474i \(-0.0282225\pi\)
−0.574720 + 0.818350i \(0.694889\pi\)
\(488\) −11.8087 + 20.4533i −0.534555 + 0.925877i
\(489\) 0.687374 0.0310841
\(490\) −7.42558 20.3691i −0.335453 0.920182i
\(491\) −27.5620 −1.24386 −0.621928 0.783074i \(-0.713651\pi\)
−0.621928 + 0.783074i \(0.713651\pi\)
\(492\) 2.80156 4.85244i 0.126304 0.218765i
\(493\) −5.29727 9.17514i −0.238577 0.413227i
\(494\) −6.02548 10.4364i −0.271099 0.469558i
\(495\) 11.0164 19.0809i 0.495149 0.857624i
\(496\) −8.44858 −0.379352
\(497\) −18.7349 1.63425i −0.840374 0.0733061i
\(498\) 2.61270 0.117078
\(499\) 4.66878 8.08657i 0.209004 0.362005i −0.742397 0.669960i \(-0.766311\pi\)
0.951401 + 0.307955i \(0.0996447\pi\)
\(500\) −17.6332 30.5416i −0.788581 1.36586i
\(501\) −6.20112 10.7407i −0.277046 0.479857i
\(502\) 1.96147 3.39737i 0.0875448 0.151632i
\(503\) 32.9700 1.47006 0.735029 0.678035i \(-0.237168\pi\)
0.735029 + 0.678035i \(0.237168\pi\)
\(504\) −3.97669 + 5.68241i −0.177136 + 0.253114i
\(505\) −11.4203 −0.508197
\(506\) 2.10390 3.64406i 0.0935297 0.161998i
\(507\) 3.17805 + 5.50454i 0.141142 + 0.244465i
\(508\) −0.0666978 0.115524i −0.00295924 0.00512555i
\(509\) −11.0073 + 19.0653i −0.487892 + 0.845053i −0.999903 0.0139256i \(-0.995567\pi\)
0.512011 + 0.858979i \(0.328901\pi\)
\(510\) 6.96762 0.308531
\(511\) −5.95859 12.7697i −0.263592 0.564897i
\(512\) −8.89104 −0.392932
\(513\) 1.78076 3.08437i 0.0786225 0.136178i
\(514\) −3.40685 5.90083i −0.150270 0.260275i
\(515\) 21.3222 + 36.9311i 0.939568 + 1.62738i
\(516\) −1.83871 + 3.18473i −0.0809446 + 0.140200i
\(517\) −2.83596 −0.124725
\(518\) −3.37760 7.23843i −0.148403 0.318038i
\(519\) 3.20701 0.140772
\(520\) −23.2226 + 40.2227i −1.01838 + 1.76388i
\(521\) 9.09504 + 15.7531i 0.398461 + 0.690155i 0.993536 0.113515i \(-0.0362110\pi\)
−0.595075 + 0.803670i \(0.702878\pi\)
\(522\) −1.81098 3.13671i −0.0792646 0.137290i
\(523\) −19.5821 + 33.9172i −0.856265 + 1.48309i 0.0192022 + 0.999816i \(0.493887\pi\)
−0.875467 + 0.483278i \(0.839446\pi\)
\(524\) 19.3331 0.844572
\(525\) 17.0167 24.3157i 0.742671 1.06122i
\(526\) −20.1200 −0.877276
\(527\) −11.8661 + 20.5526i −0.516894 + 0.895287i
\(528\) 2.19083 + 3.79464i 0.0953438 + 0.165140i
\(529\) −0.500000 0.866025i −0.0217391 0.0376533i
\(530\) 19.5686 33.8938i 0.850005 1.47225i
\(531\) 0.842890 0.0365783
\(532\) −13.2219 1.15335i −0.573244 0.0500042i
\(533\) 17.5017 0.758085
\(534\) −5.00509 + 8.66907i −0.216591 + 0.375147i
\(535\) −37.9635 65.7546i −1.64130 2.84282i
\(536\) 1.83460 + 3.17762i 0.0792426 + 0.137252i
\(537\) 5.57358 9.65373i 0.240518 0.416589i
\(538\) 12.1185 0.522464
\(539\) −13.1171 35.9816i −0.564994 1.54984i
\(540\) −5.67216 −0.244091
\(541\) −6.20655 + 10.7501i −0.266841 + 0.462182i −0.968044 0.250780i \(-0.919313\pi\)
0.701204 + 0.712961i \(0.252646\pi\)
\(542\) −2.28849 3.96378i −0.0982991 0.170259i
\(543\) 9.28315 + 16.0789i 0.398378 + 0.690011i
\(544\) −6.59016 + 11.4145i −0.282551 + 0.489393i
\(545\) −44.8394 −1.92071
\(546\) −8.91845 0.777959i −0.381674 0.0332936i
\(547\) 25.5889 1.09410 0.547052 0.837099i \(-0.315750\pi\)
0.547052 + 0.837099i \(0.315750\pi\)
\(548\) −0.726657 + 1.25861i −0.0310413 + 0.0537651i
\(549\) −4.50466 7.80230i −0.192254 0.332994i
\(550\) 23.6004 + 40.8771i 1.00632 + 1.74301i
\(551\) 8.38634 14.5256i 0.357270 0.618810i
\(552\) −2.62145 −0.111576
\(553\) 20.3935 29.1408i 0.867218 1.23919i
\(554\) −11.7183 −0.497862
\(555\) 7.90416 13.6904i 0.335513 0.581125i
\(556\) 0.198509 + 0.343827i 0.00841865 + 0.0145815i
\(557\) −13.7923 23.8889i −0.584398 1.01221i −0.994950 0.100369i \(-0.967998\pi\)
0.410553 0.911837i \(-0.365336\pi\)
\(558\) −4.05666 + 7.02635i −0.171732 + 0.297449i
\(559\) −11.4867 −0.485835
\(560\) 3.60819 + 7.73262i 0.152474 + 0.326763i
\(561\) 12.3081 0.519650
\(562\) 0.685469 1.18727i 0.0289148 0.0500818i
\(563\) −12.6669 21.9397i −0.533845 0.924647i −0.999218 0.0395326i \(-0.987413\pi\)
0.465373 0.885115i \(-0.345920\pi\)
\(564\) 0.365048 + 0.632282i 0.0153713 + 0.0266239i
\(565\) −2.61719 + 4.53310i −0.110106 + 0.190709i
\(566\) 15.3811 0.646517
\(567\) −1.11876 2.39758i −0.0469834 0.100689i
\(568\) −18.6333 −0.781834
\(569\) 11.1027 19.2305i 0.465450 0.806183i −0.533772 0.845629i \(-0.679226\pi\)
0.999222 + 0.0394454i \(0.0125591\pi\)
\(570\) 5.51537 + 9.55289i 0.231013 + 0.400127i
\(571\) −4.33227 7.50371i −0.181300 0.314020i 0.761024 0.648724i \(-0.224697\pi\)
−0.942323 + 0.334704i \(0.891364\pi\)
\(572\) −16.9517 + 29.3612i −0.708786 + 1.22765i
\(573\) 22.9387 0.958277
\(574\) −4.64121 + 6.63195i −0.193720 + 0.276812i
\(575\) 11.2175 0.467800
\(576\) −1.45212 + 2.51514i −0.0605048 + 0.104797i
\(577\) −20.2143 35.0122i −0.841532 1.45758i −0.888599 0.458684i \(-0.848321\pi\)
0.0470678 0.998892i \(-0.485012\pi\)
\(578\) −4.59111 7.95204i −0.190965 0.330761i
\(579\) −5.06476 + 8.77242i −0.210484 + 0.364569i
\(580\) −26.7125 −1.10918
\(581\) 8.95396 + 0.781056i 0.371473 + 0.0324037i
\(582\) −4.88845 −0.202633
\(583\) 34.5675 59.8726i 1.43164 2.47967i
\(584\) −6.98101 12.0915i −0.288876 0.500348i
\(585\) −8.85871 15.3437i −0.366262 0.634385i
\(586\) −6.70335 + 11.6105i −0.276913 + 0.479627i
\(587\) −46.9106 −1.93621 −0.968104 0.250547i \(-0.919389\pi\)
−0.968104 + 0.250547i \(0.919389\pi\)
\(588\) −6.33369 + 7.55606i −0.261197 + 0.311607i
\(589\) −37.5714 −1.54810
\(590\) −1.30530 + 2.26084i −0.0537383 + 0.0930774i
\(591\) −2.25784 3.91069i −0.0928750 0.160864i
\(592\) 1.57191 + 2.72262i 0.0646049 + 0.111899i
\(593\) −2.84222 + 4.92286i −0.116716 + 0.202158i −0.918464 0.395504i \(-0.870570\pi\)
0.801749 + 0.597662i \(0.203903\pi\)
\(594\) 4.20780 0.172648
\(595\) 23.8786 + 2.08294i 0.978929 + 0.0853922i
\(596\) 8.03197 0.329002
\(597\) 10.4038 18.0199i 0.425799 0.737506i
\(598\) −1.69183 2.93033i −0.0691840 0.119830i
\(599\) −2.40028 4.15741i −0.0980730 0.169867i 0.812814 0.582523i \(-0.197935\pi\)
−0.910887 + 0.412656i \(0.864601\pi\)
\(600\) 14.7030 25.4663i 0.600247 1.03966i
\(601\) 8.92677 0.364131 0.182065 0.983286i \(-0.441722\pi\)
0.182065 + 0.983286i \(0.441722\pi\)
\(602\) 3.04610 4.35266i 0.124150 0.177401i
\(603\) −1.39968 −0.0569996
\(604\) 2.02562 3.50848i 0.0824214 0.142758i
\(605\) 38.1231 + 66.0311i 1.54992 + 2.68454i
\(606\) −1.09052 1.88884i −0.0442994 0.0767288i
\(607\) −1.66241 + 2.87939i −0.0674753 + 0.116871i −0.897789 0.440425i \(-0.854828\pi\)
0.830314 + 0.557296i \(0.188161\pi\)
\(608\) −20.8663 −0.846242
\(609\) −5.26869 11.2912i −0.213498 0.457542i
\(610\) 27.9036 1.12978
\(611\) −1.14026 + 1.97498i −0.0461298 + 0.0798991i
\(612\) −1.58432 2.74412i −0.0640422 0.110924i
\(613\) −12.8126 22.1921i −0.517497 0.896330i −0.999793 0.0203225i \(-0.993531\pi\)
0.482297 0.876008i \(-0.339803\pi\)
\(614\) −8.51409 + 14.7468i −0.343601 + 0.595134i
\(615\) −16.0201 −0.645991
\(616\) −16.0455 34.3867i −0.646493 1.38548i
\(617\) 29.3425 1.18128 0.590642 0.806934i \(-0.298875\pi\)
0.590642 + 0.806934i \(0.298875\pi\)
\(618\) −4.07209 + 7.05308i −0.163804 + 0.283716i
\(619\) −2.99870 5.19390i −0.120528 0.208760i 0.799448 0.600735i \(-0.205125\pi\)
−0.919976 + 0.391975i \(0.871792\pi\)
\(620\) 29.9185 + 51.8203i 1.20156 + 2.08116i
\(621\) 0.500000 0.866025i 0.0200643 0.0347524i
\(622\) 5.29930 0.212483
\(623\) −19.7445 + 28.2134i −0.791046 + 1.13035i
\(624\) 3.52347 0.141052
\(625\) −22.3721 + 38.7496i −0.894883 + 1.54998i
\(626\) 5.21977 + 9.04091i 0.208624 + 0.361347i
\(627\) 9.74278 + 16.8750i 0.389089 + 0.673922i
\(628\) 11.7897 20.4204i 0.470461 0.814863i
\(629\) 8.83099 0.352115
\(630\) 8.16342 + 0.712097i 0.325238 + 0.0283706i
\(631\) 16.3993 0.652846 0.326423 0.945224i \(-0.394157\pi\)
0.326423 + 0.945224i \(0.394157\pi\)
\(632\) 17.6206 30.5198i 0.700909 1.21401i
\(633\) 13.1157 + 22.7171i 0.521304 + 0.902925i
\(634\) −9.48240 16.4240i −0.376594 0.652280i
\(635\) −0.190698 + 0.330299i −0.00756762 + 0.0131075i
\(636\) −17.7982 −0.705746
\(637\) −30.3318 5.33227i −1.20179 0.211272i
\(638\) 19.8163 0.784533
\(639\) 3.55400 6.15572i 0.140594 0.243516i
\(640\) 19.0966 + 33.0762i 0.754858 + 1.30745i
\(641\) 24.2326 + 41.9721i 0.957130 + 1.65780i 0.729416 + 0.684070i \(0.239792\pi\)
0.227714 + 0.973728i \(0.426875\pi\)
\(642\) 7.25023 12.5578i 0.286144 0.495615i
\(643\) −19.8571 −0.783088 −0.391544 0.920159i \(-0.628059\pi\)
−0.391544 + 0.920159i \(0.628059\pi\)
\(644\) −3.71244 0.323837i −0.146291 0.0127610i
\(645\) 10.5142 0.413997
\(646\) −3.08105 + 5.33653i −0.121222 + 0.209963i
\(647\) 14.7065 + 25.4724i 0.578172 + 1.00142i 0.995689 + 0.0927538i \(0.0295670\pi\)
−0.417517 + 0.908669i \(0.637100\pi\)
\(648\) −1.31072 2.27024i −0.0514900 0.0891834i
\(649\) −2.30578 + 3.99373i −0.0905098 + 0.156768i
\(650\) 37.9560 1.48876
\(651\) −16.0031 + 22.8672i −0.627209 + 0.896236i
\(652\) 0.968166 0.0379163
\(653\) −11.5894 + 20.0734i −0.453528 + 0.785534i −0.998602 0.0528537i \(-0.983168\pi\)
0.545074 + 0.838388i \(0.316502\pi\)
\(654\) −4.28170 7.41612i −0.167428 0.289993i
\(655\) −27.6380 47.8704i −1.07991 1.87045i
\(656\) 1.59296 2.75909i 0.0621946 0.107724i
\(657\) 5.32607 0.207790
\(658\) −0.446002 0.955814i −0.0173870 0.0372615i
\(659\) 33.1492 1.29131 0.645654 0.763630i \(-0.276585\pi\)
0.645654 + 0.763630i \(0.276585\pi\)
\(660\) 15.5166 26.8755i 0.603981 1.04613i
\(661\) −7.52823 13.0393i −0.292814 0.507169i 0.681660 0.731669i \(-0.261258\pi\)
−0.974474 + 0.224500i \(0.927925\pi\)
\(662\) 8.83208 + 15.2976i 0.343269 + 0.594559i
\(663\) 4.94873 8.57146i 0.192193 0.332888i
\(664\) 8.90539 0.345596
\(665\) 16.0459 + 34.3874i 0.622232 + 1.33349i
\(666\) 3.01906 0.116986
\(667\) 2.35471 4.07847i 0.0911746 0.157919i
\(668\) −8.73428 15.1282i −0.337939 0.585328i
\(669\) −0.601883 1.04249i −0.0232701 0.0403051i
\(670\) 2.16755 3.75431i 0.0837398 0.145042i
\(671\) 49.2912 1.90286
\(672\) −8.88776 + 12.7000i −0.342853 + 0.489912i
\(673\) −23.8903 −0.920904 −0.460452 0.887684i \(-0.652313\pi\)
−0.460452 + 0.887684i \(0.652313\pi\)
\(674\) −7.66160 + 13.2703i −0.295114 + 0.511152i
\(675\) 5.60873 + 9.71461i 0.215880 + 0.373915i
\(676\) 4.47628 + 7.75314i 0.172164 + 0.298198i
\(677\) 4.29280 7.43534i 0.164986 0.285763i −0.771665 0.636030i \(-0.780576\pi\)
0.936650 + 0.350266i \(0.113909\pi\)
\(678\) −0.999657 −0.0383916
\(679\) −16.7532 1.46138i −0.642927 0.0560827i
\(680\) 23.7491 0.910737
\(681\) 7.12657 12.3436i 0.273091 0.473007i
\(682\) −22.1945 38.4421i −0.849873 1.47202i
\(683\) 4.69158 + 8.12606i 0.179518 + 0.310935i 0.941716 0.336410i \(-0.109213\pi\)
−0.762197 + 0.647345i \(0.775879\pi\)
\(684\) 2.50820 4.34433i 0.0959034 0.166110i
\(685\) 4.15522 0.158763
\(686\) 10.0641 10.0796i 0.384249 0.384841i
\(687\) −12.3571 −0.471452
\(688\) −1.04549 + 1.81083i −0.0398588 + 0.0690374i
\(689\) −27.7971 48.1460i −1.05898 1.83421i
\(690\) 1.54860 + 2.68225i 0.0589542 + 0.102112i
\(691\) 10.6397 18.4284i 0.404751 0.701050i −0.589541 0.807738i \(-0.700691\pi\)
0.994293 + 0.106688i \(0.0340247\pi\)
\(692\) 4.51707 0.171713
\(693\) 14.4205 + 1.25790i 0.547789 + 0.0477838i
\(694\) −9.71474 −0.368767
\(695\) 0.567564 0.983049i 0.0215289 0.0372892i
\(696\) −6.17273 10.6915i −0.233977 0.405260i
\(697\) −4.47464 7.75030i −0.169489 0.293563i
\(698\) 5.75651 9.97058i 0.217887 0.377392i
\(699\) −11.9828 −0.453230
\(700\) 23.9680 34.2486i 0.905907 1.29448i
\(701\) −4.27651 −0.161521 −0.0807607 0.996734i \(-0.525735\pi\)
−0.0807607 + 0.996734i \(0.525735\pi\)
\(702\) 1.69183 2.93033i 0.0638540 0.110598i
\(703\) 6.99036 + 12.1077i 0.263646 + 0.456649i
\(704\) −7.94472 13.7607i −0.299428 0.518624i
\(705\) 1.04372 1.80778i 0.0393088 0.0680849i
\(706\) −2.10120 −0.0790797
\(707\) −3.17265 6.79922i −0.119320 0.255711i
\(708\) 1.18721 0.0446181
\(709\) 6.86581 11.8919i 0.257851 0.446611i −0.707815 0.706398i \(-0.750319\pi\)
0.965666 + 0.259787i \(0.0836523\pi\)
\(710\) 11.0075 + 19.0655i 0.413102 + 0.715514i
\(711\) 6.72171 + 11.6423i 0.252084 + 0.436622i
\(712\) −17.0599 + 29.5485i −0.639345 + 1.10738i
\(713\) −10.5492 −0.395072
\(714\) 1.93566 + 4.14826i 0.0724402 + 0.155245i
\(715\) 96.9343 3.62514
\(716\) 7.85039 13.5973i 0.293383 0.508154i
\(717\) 3.26967 + 5.66324i 0.122108 + 0.211497i
\(718\) 6.41334 + 11.1082i 0.239344 + 0.414556i
\(719\) −8.84409 + 15.3184i −0.329829 + 0.571280i −0.982478 0.186380i \(-0.940324\pi\)
0.652649 + 0.757660i \(0.273658\pi\)
\(720\) −3.22518 −0.120195
\(721\) −16.0639 + 22.9542i −0.598252 + 0.854859i
\(722\) 4.85725 0.180768
\(723\) 0.250032 0.433069i 0.00929880 0.0161060i
\(724\) 13.0753 + 22.6471i 0.485940 + 0.841673i
\(725\) 26.4138 + 45.7501i 0.980985 + 1.69912i
\(726\) −7.28071 + 12.6106i −0.270213 + 0.468022i
\(727\) 25.0455 0.928885 0.464442 0.885603i \(-0.346255\pi\)
0.464442 + 0.885603i \(0.346255\pi\)
\(728\) −30.3985 2.65167i −1.12664 0.0982775i
\(729\) 1.00000 0.0370370
\(730\) −8.24795 + 14.2859i −0.305270 + 0.528744i
\(731\) 2.93678 + 5.08665i 0.108621 + 0.188137i
\(732\) −6.34481 10.9895i −0.234511 0.406185i
\(733\) −7.89251 + 13.6702i −0.291517 + 0.504922i −0.974169 0.225822i \(-0.927493\pi\)
0.682652 + 0.730744i \(0.260827\pi\)
\(734\) 21.5942 0.797055
\(735\) 27.7639 + 4.88084i 1.02409 + 0.180033i
\(736\) −5.85883 −0.215959
\(737\) 3.82893 6.63190i 0.141040 0.244289i
\(738\) −1.52975 2.64960i −0.0563108 0.0975332i
\(739\) 4.99929 + 8.65903i 0.183902 + 0.318528i 0.943206 0.332209i \(-0.107794\pi\)
−0.759304 + 0.650736i \(0.774460\pi\)
\(740\) 11.1330 19.2829i 0.409257 0.708854i
\(741\) 15.6691 0.575619
\(742\) 25.6154 + 2.23444i 0.940370 + 0.0820288i
\(743\) −7.14322 −0.262059 −0.131030 0.991378i \(-0.541828\pi\)
−0.131030 + 0.991378i \(0.541828\pi\)
\(744\) −13.8271 + 23.9493i −0.506927 + 0.878024i
\(745\) −11.4822 19.8878i −0.420677 0.728634i
\(746\) 8.59067 + 14.8795i 0.314527 + 0.544776i
\(747\) −1.69857 + 2.94200i −0.0621472 + 0.107642i
\(748\) 17.3360 0.633867
\(749\) 28.6013 40.8692i 1.04507 1.49333i
\(750\) −19.2567 −0.703156
\(751\) 10.6810 18.5000i 0.389754 0.675073i −0.602663 0.797996i \(-0.705893\pi\)
0.992416 + 0.122923i \(0.0392268\pi\)
\(752\) 0.207566 + 0.359514i 0.00756914 + 0.0131101i
\(753\) 2.55038 + 4.41738i 0.0929409 + 0.160978i
\(754\) 7.96752 13.8001i 0.290160 0.502572i
\(755\) −11.5831 −0.421550
\(756\) −1.57577 3.37699i −0.0573102 0.122820i
\(757\) −6.60015 −0.239887 −0.119943 0.992781i \(-0.538271\pi\)
−0.119943 + 0.992781i \(0.538271\pi\)
\(758\) 10.6884 18.5129i 0.388220 0.672417i
\(759\) 2.73557 + 4.73814i 0.0992948 + 0.171984i
\(760\) 18.7991 + 32.5610i 0.681916 + 1.18111i
\(761\) −6.57699 + 11.3917i −0.238416 + 0.412948i −0.960260 0.279108i \(-0.909961\pi\)
0.721844 + 0.692056i \(0.243295\pi\)
\(762\) −0.0728387 −0.00263867
\(763\) −12.4567 26.6957i −0.450964 0.966449i
\(764\) 32.3091 1.16890
\(765\) −4.52978 + 7.84580i −0.163774 + 0.283666i
\(766\) 2.53475 + 4.39032i 0.0915843 + 0.158629i
\(767\) 1.85417 + 3.21152i 0.0669502 + 0.115961i
\(768\) −6.55128 + 11.3471i −0.236399 + 0.409455i
\(769\) −23.8184 −0.858915 −0.429457 0.903087i \(-0.641295\pi\)
−0.429457 + 0.903087i \(0.641295\pi\)
\(770\) −25.7056 + 36.7314i −0.926365 + 1.32371i
\(771\) 8.85942 0.319064
\(772\) −7.13371 + 12.3560i −0.256748 + 0.444700i
\(773\) 0.897935 + 1.55527i 0.0322965 + 0.0559391i 0.881722 0.471770i \(-0.156385\pi\)
−0.849425 + 0.527709i \(0.823051\pi\)
\(774\) 1.00400 + 1.73898i 0.0360880 + 0.0625063i
\(775\) 59.1679 102.482i 2.12537 3.68126i
\(776\) −16.6623 −0.598141
\(777\) 10.3466 + 0.902536i 0.371182 </