Properties

Label 114.2.i.b.25.1
Level $114$
Weight $2$
Character 114.25
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.25
Dual form 114.2.i.b.73.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.0812519 - 0.460802i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(2.20574 - 3.82045i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.0812519 - 0.460802i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(2.20574 - 3.82045i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-0.358441 - 0.300767i) q^{10} +(2.76604 + 4.79093i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-5.62449 + 2.04715i) q^{13} +(-0.766044 - 4.34445i) q^{14} +(-0.0812519 + 0.460802i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.33022 + 2.79439i) q^{17} +1.00000 q^{18} +(4.34002 + 0.405223i) q^{19} -0.467911 q^{20} +(-3.37939 + 2.83564i) q^{21} +(5.19846 + 1.89209i) q^{22} +(-0.549163 + 3.11446i) q^{23} +(0.173648 + 0.984808i) q^{24} +(4.49273 - 1.63522i) q^{25} +(-2.99273 + 5.18355i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-3.37939 - 2.83564i) q^{28} +(-1.15657 - 0.970481i) q^{29} +(0.233956 + 0.405223i) q^{30} +(1.09240 - 1.89209i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.960637 - 5.44804i) q^{33} +(-0.754900 + 4.28125i) q^{34} +(-1.93969 - 0.705990i) q^{35} +(0.766044 - 0.642788i) q^{36} -2.75877 q^{37} +(3.58512 - 2.47929i) q^{38} +5.98545 q^{39} +(-0.358441 + 0.300767i) q^{40} +(1.84002 + 0.669713i) q^{41} +(-0.766044 + 4.34445i) q^{42} +(0.624485 + 3.54163i) q^{43} +(5.19846 - 1.89209i) q^{44} +(0.233956 - 0.405223i) q^{45} +(1.58125 + 2.73881i) q^{46} +(-7.08512 - 5.94512i) q^{47} +(0.766044 + 0.642788i) q^{48} +(-6.23055 - 10.7916i) q^{49} +(2.39053 - 4.14052i) q^{50} +(4.08512 - 1.48686i) q^{51} +(1.03936 + 5.89452i) q^{52} +(-0.464508 + 2.63435i) q^{53} +(-0.939693 - 0.342020i) q^{54} +(1.98293 - 1.66387i) q^{55} -4.41147 q^{56} +(-3.93969 - 1.86516i) q^{57} -1.50980 q^{58} +(1.01707 - 0.853427i) q^{59} +(0.439693 + 0.160035i) q^{60} +(-1.15270 + 6.53731i) q^{61} +(-0.379385 - 2.15160i) q^{62} +(4.14543 - 1.50881i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.40033 + 2.42544i) q^{65} +(-4.23783 - 3.55596i) q^{66} +(-1.90760 - 1.60067i) q^{67} +(2.17365 + 3.76487i) q^{68} +(1.58125 - 2.73881i) q^{69} +(-1.93969 + 0.705990i) q^{70} +(-1.31908 - 7.48086i) q^{71} +(0.173648 - 0.984808i) q^{72} +(-2.97431 - 1.08256i) q^{73} +(-2.11334 + 1.77330i) q^{74} -4.78106 q^{75} +(1.15270 - 4.20372i) q^{76} +24.4047 q^{77} +(4.58512 - 3.84737i) q^{78} +(-1.18732 - 0.432149i) q^{79} +(-0.0812519 + 0.460802i) q^{80} +(0.173648 + 0.984808i) q^{81} +(1.84002 - 0.669713i) q^{82} +(8.96838 - 15.5337i) q^{83} +(2.20574 + 3.82045i) q^{84} +(1.55825 + 1.30753i) q^{85} +(2.75490 + 2.31164i) q^{86} +(0.754900 + 1.30753i) q^{87} +(2.76604 - 4.79093i) q^{88} +(-11.7280 + 4.26865i) q^{89} +(-0.0812519 - 0.460802i) q^{90} +(-4.58512 + 26.0035i) q^{91} +(2.97178 + 1.08164i) q^{92} +(-1.67365 + 1.40436i) q^{93} -9.24897 q^{94} +(-0.165907 - 2.03282i) q^{95} +1.00000 q^{96} +(-6.36618 + 5.34186i) q^{97} +(-11.7096 - 4.26195i) q^{98} +(-0.960637 + 5.44804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + O(q^{10}) \) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + 6q^{10} + 12q^{11} - 3q^{12} - 21q^{13} - 3q^{15} + 3q^{17} + 6q^{18} + 6q^{19} - 12q^{20} - 9q^{21} + 3q^{22} - 15q^{23} + 9q^{25} - 3q^{27} - 9q^{28} + 15q^{29} + 6q^{30} + 3q^{31} + 3q^{33} - 6q^{34} - 6q^{35} + 6q^{37} + 6q^{40} - 9q^{41} - 9q^{43} + 3q^{44} + 6q^{45} + 12q^{46} - 21q^{47} - 3q^{50} + 3q^{51} + 15q^{52} + 30q^{53} - 9q^{55} - 6q^{56} - 18q^{57} - 12q^{58} + 27q^{59} - 3q^{60} - 9q^{61} + 9q^{62} + 9q^{63} - 3q^{64} - 6q^{65} - 6q^{66} - 15q^{67} + 12q^{68} + 12q^{69} - 6q^{70} + 9q^{71} + 12q^{73} - 6q^{74} + 6q^{75} + 9q^{76} + 42q^{77} + 6q^{78} + 15q^{79} - 3q^{80} - 9q^{82} - 3q^{83} + 3q^{84} - 36q^{85} + 18q^{86} + 6q^{87} + 12q^{88} - 48q^{89} - 3q^{90} - 6q^{91} + 3q^{92} - 9q^{93} - 30q^{94} - 48q^{95} + 6q^{96} + 18q^{97} - 36q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) −0.939693 0.342020i −0.542532 0.197465i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −0.0812519 0.460802i −0.0363370 0.206077i 0.961234 0.275734i \(-0.0889208\pi\)
−0.997571 + 0.0696565i \(0.977810\pi\)
\(6\) −0.939693 + 0.342020i −0.383628 + 0.139629i
\(7\) 2.20574 3.82045i 0.833690 1.44399i −0.0614021 0.998113i \(-0.519557\pi\)
0.895092 0.445881i \(-0.147109\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 0.766044 + 0.642788i 0.255348 + 0.214263i
\(10\) −0.358441 0.300767i −0.113349 0.0951110i
\(11\) 2.76604 + 4.79093i 0.833994 + 1.44452i 0.894847 + 0.446373i \(0.147284\pi\)
−0.0608533 + 0.998147i \(0.519382\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) −5.62449 + 2.04715i −1.55995 + 0.567776i −0.970725 0.240192i \(-0.922790\pi\)
−0.589226 + 0.807968i \(0.700567\pi\)
\(14\) −0.766044 4.34445i −0.204734 1.16110i
\(15\) −0.0812519 + 0.460802i −0.0209792 + 0.118979i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −3.33022 + 2.79439i −0.807698 + 0.677739i −0.950057 0.312076i \(-0.898976\pi\)
0.142360 + 0.989815i \(0.454531\pi\)
\(18\) 1.00000 0.235702
\(19\) 4.34002 + 0.405223i 0.995669 + 0.0929645i
\(20\) −0.467911 −0.104628
\(21\) −3.37939 + 2.83564i −0.737442 + 0.618788i
\(22\) 5.19846 + 1.89209i 1.10832 + 0.403394i
\(23\) −0.549163 + 3.11446i −0.114508 + 0.649409i 0.872484 + 0.488643i \(0.162508\pi\)
−0.986992 + 0.160767i \(0.948603\pi\)
\(24\) 0.173648 + 0.984808i 0.0354458 + 0.201023i
\(25\) 4.49273 1.63522i 0.898545 0.327044i
\(26\) −2.99273 + 5.18355i −0.586922 + 1.01658i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) −3.37939 2.83564i −0.638644 0.535886i
\(29\) −1.15657 0.970481i −0.214770 0.180214i 0.529055 0.848587i \(-0.322546\pi\)
−0.743826 + 0.668374i \(0.766991\pi\)
\(30\) 0.233956 + 0.405223i 0.0427142 + 0.0739832i
\(31\) 1.09240 1.89209i 0.196200 0.339829i −0.751093 0.660196i \(-0.770473\pi\)
0.947293 + 0.320368i \(0.103806\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) −0.960637 5.44804i −0.167225 0.948383i
\(34\) −0.754900 + 4.28125i −0.129464 + 0.734229i
\(35\) −1.93969 0.705990i −0.327868 0.119334i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) −2.75877 −0.453539 −0.226770 0.973948i \(-0.572816\pi\)
−0.226770 + 0.973948i \(0.572816\pi\)
\(38\) 3.58512 2.47929i 0.581584 0.402195i
\(39\) 5.98545 0.958439
\(40\) −0.358441 + 0.300767i −0.0566745 + 0.0475555i
\(41\) 1.84002 + 0.669713i 0.287363 + 0.104592i 0.481680 0.876347i \(-0.340027\pi\)
−0.194317 + 0.980939i \(0.562249\pi\)
\(42\) −0.766044 + 4.34445i −0.118203 + 0.670364i
\(43\) 0.624485 + 3.54163i 0.0952331 + 0.540094i 0.994676 + 0.103055i \(0.0328617\pi\)
−0.899443 + 0.437039i \(0.856027\pi\)
\(44\) 5.19846 1.89209i 0.783698 0.285243i
\(45\) 0.233956 0.405223i 0.0348760 0.0604071i
\(46\) 1.58125 + 2.73881i 0.233143 + 0.403815i
\(47\) −7.08512 5.94512i −1.03347 0.867185i −0.0422114 0.999109i \(-0.513440\pi\)
−0.991260 + 0.131923i \(0.957885\pi\)
\(48\) 0.766044 + 0.642788i 0.110569 + 0.0927784i
\(49\) −6.23055 10.7916i −0.890079 1.54166i
\(50\) 2.39053 4.14052i 0.338072 0.585558i
\(51\) 4.08512 1.48686i 0.572032 0.208202i
\(52\) 1.03936 + 5.89452i 0.144134 + 0.817423i
\(53\) −0.464508 + 2.63435i −0.0638050 + 0.361856i 0.936143 + 0.351621i \(0.114369\pi\)
−0.999948 + 0.0102357i \(0.996742\pi\)
\(54\) −0.939693 0.342020i −0.127876 0.0465430i
\(55\) 1.98293 1.66387i 0.267378 0.224357i
\(56\) −4.41147 −0.589508
\(57\) −3.93969 1.86516i −0.521825 0.247046i
\(58\) −1.50980 −0.198246
\(59\) 1.01707 0.853427i 0.132412 0.111107i −0.574177 0.818731i \(-0.694678\pi\)
0.706588 + 0.707625i \(0.250233\pi\)
\(60\) 0.439693 + 0.160035i 0.0567641 + 0.0206604i
\(61\) −1.15270 + 6.53731i −0.147589 + 0.837016i 0.817664 + 0.575696i \(0.195269\pi\)
−0.965252 + 0.261320i \(0.915842\pi\)
\(62\) −0.379385 2.15160i −0.0481820 0.273254i
\(63\) 4.14543 1.50881i 0.522275 0.190093i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 1.40033 + 2.42544i 0.173690 + 0.300839i
\(66\) −4.23783 3.55596i −0.521640 0.437708i
\(67\) −1.90760 1.60067i −0.233051 0.195553i 0.518782 0.854907i \(-0.326386\pi\)
−0.751833 + 0.659354i \(0.770830\pi\)
\(68\) 2.17365 + 3.76487i 0.263594 + 0.456557i
\(69\) 1.58125 2.73881i 0.190360 0.329714i
\(70\) −1.93969 + 0.705990i −0.231838 + 0.0843820i
\(71\) −1.31908 7.48086i −0.156546 0.887815i −0.957359 0.288901i \(-0.906710\pi\)
0.800813 0.598914i \(-0.204401\pi\)
\(72\) 0.173648 0.984808i 0.0204646 0.116061i
\(73\) −2.97431 1.08256i −0.348116 0.126704i 0.162043 0.986784i \(-0.448192\pi\)
−0.510160 + 0.860080i \(0.670414\pi\)
\(74\) −2.11334 + 1.77330i −0.245671 + 0.206142i
\(75\) −4.78106 −0.552069
\(76\) 1.15270 4.20372i 0.132224 0.482200i
\(77\) 24.4047 2.78117
\(78\) 4.58512 3.84737i 0.519163 0.435629i
\(79\) −1.18732 0.432149i −0.133584 0.0486205i 0.274363 0.961626i \(-0.411533\pi\)
−0.407947 + 0.913006i \(0.633755\pi\)
\(80\) −0.0812519 + 0.460802i −0.00908424 + 0.0515193i
\(81\) 0.173648 + 0.984808i 0.0192942 + 0.109423i
\(82\) 1.84002 0.669713i 0.203196 0.0739575i
\(83\) 8.96838 15.5337i 0.984407 1.70504i 0.339867 0.940474i \(-0.389618\pi\)
0.644541 0.764570i \(-0.277049\pi\)
\(84\) 2.20574 + 3.82045i 0.240666 + 0.416845i
\(85\) 1.55825 + 1.30753i 0.169016 + 0.141821i
\(86\) 2.75490 + 2.31164i 0.297069 + 0.249270i
\(87\) 0.754900 + 1.30753i 0.0809338 + 0.140181i
\(88\) 2.76604 4.79093i 0.294861 0.510715i
\(89\) −11.7280 + 4.26865i −1.24317 + 0.452476i −0.878088 0.478500i \(-0.841181\pi\)
−0.365081 + 0.930976i \(0.618959\pi\)
\(90\) −0.0812519 0.460802i −0.00856470 0.0485728i
\(91\) −4.58512 + 26.0035i −0.480651 + 2.72591i
\(92\) 2.97178 + 1.08164i 0.309830 + 0.112769i
\(93\) −1.67365 + 1.40436i −0.173549 + 0.145625i
\(94\) −9.24897 −0.953958
\(95\) −0.165907 2.03282i −0.0170217 0.208563i
\(96\) 1.00000 0.102062
\(97\) −6.36618 + 5.34186i −0.646388 + 0.542384i −0.905972 0.423337i \(-0.860859\pi\)
0.259585 + 0.965720i \(0.416414\pi\)
\(98\) −11.7096 4.26195i −1.18285 0.430522i
\(99\) −0.960637 + 5.44804i −0.0965477 + 0.547549i
\(100\) −0.830222 4.70842i −0.0830222 0.470842i
\(101\) −1.16637 + 0.424525i −0.116059 + 0.0422419i −0.399397 0.916778i \(-0.630780\pi\)
0.283338 + 0.959020i \(0.408558\pi\)
\(102\) 2.17365 3.76487i 0.215223 0.372778i
\(103\) −1.69207 2.93075i −0.166724 0.288775i 0.770542 0.637389i \(-0.219986\pi\)
−0.937266 + 0.348614i \(0.886652\pi\)
\(104\) 4.58512 + 3.84737i 0.449608 + 0.377266i
\(105\) 1.58125 + 1.32683i 0.154314 + 0.129485i
\(106\) 1.33750 + 2.31661i 0.129909 + 0.225009i
\(107\) −7.90807 + 13.6972i −0.764502 + 1.32416i 0.176007 + 0.984389i \(0.443682\pi\)
−0.940509 + 0.339768i \(0.889652\pi\)
\(108\) −0.939693 + 0.342020i −0.0904220 + 0.0329109i
\(109\) −1.00980 5.72686i −0.0967213 0.548534i −0.994206 0.107489i \(-0.965719\pi\)
0.897485 0.441045i \(-0.145392\pi\)
\(110\) 0.449493 2.54920i 0.0428575 0.243057i
\(111\) 2.59240 + 0.943555i 0.246059 + 0.0895583i
\(112\) −3.37939 + 2.83564i −0.319322 + 0.267943i
\(113\) 12.1361 1.14167 0.570834 0.821066i \(-0.306620\pi\)
0.570834 + 0.821066i \(0.306620\pi\)
\(114\) −4.21688 + 1.10359i −0.394947 + 0.103361i
\(115\) 1.47977 0.137989
\(116\) −1.15657 + 0.970481i −0.107385 + 0.0901069i
\(117\) −5.62449 2.04715i −0.519984 0.189259i
\(118\) 0.230552 1.30753i 0.0212240 0.120367i
\(119\) 3.33022 + 18.8866i 0.305281 + 1.73133i
\(120\) 0.439693 0.160035i 0.0401383 0.0146091i
\(121\) −9.80200 + 16.9776i −0.891091 + 1.54342i
\(122\) 3.31908 + 5.74881i 0.300495 + 0.520473i
\(123\) −1.50000 1.25865i −0.135250 0.113489i
\(124\) −1.67365 1.40436i −0.150298 0.126115i
\(125\) −2.28833 3.96351i −0.204675 0.354507i
\(126\) 2.20574 3.82045i 0.196503 0.340353i
\(127\) −0.426022 + 0.155059i −0.0378033 + 0.0137593i −0.360853 0.932623i \(-0.617514\pi\)
0.323049 + 0.946382i \(0.395292\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) 0.624485 3.54163i 0.0549829 0.311823i
\(130\) 2.63176 + 0.957882i 0.230821 + 0.0840118i
\(131\) −8.27972 + 6.94751i −0.723402 + 0.607006i −0.928324 0.371772i \(-0.878750\pi\)
0.204922 + 0.978778i \(0.434306\pi\)
\(132\) −5.53209 −0.481507
\(133\) 11.1211 15.6870i 0.964320 1.36024i
\(134\) −2.49020 −0.215120
\(135\) −0.358441 + 0.300767i −0.0308497 + 0.0258859i
\(136\) 4.08512 + 1.48686i 0.350296 + 0.127497i
\(137\) 1.90508 10.8042i 0.162762 0.923068i −0.788580 0.614932i \(-0.789184\pi\)
0.951342 0.308136i \(-0.0997053\pi\)
\(138\) −0.549163 3.11446i −0.0467479 0.265120i
\(139\) 12.6493 4.60397i 1.07290 0.390504i 0.255639 0.966772i \(-0.417714\pi\)
0.817260 + 0.576269i \(0.195492\pi\)
\(140\) −1.03209 + 1.78763i −0.0872274 + 0.151082i
\(141\) 4.62449 + 8.00984i 0.389452 + 0.674550i
\(142\) −5.81908 4.88279i −0.488326 0.409754i
\(143\) −25.3653 21.2840i −2.12115 1.77986i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −0.353226 + 0.611806i −0.0293338 + 0.0508077i
\(146\) −2.97431 + 1.08256i −0.246155 + 0.0895933i
\(147\) 2.16385 + 12.2718i 0.178471 + 1.01216i
\(148\) −0.479055 + 2.71686i −0.0393781 + 0.223324i
\(149\) −7.69594 2.80109i −0.630476 0.229474i 0.00696263 0.999976i \(-0.497784\pi\)
−0.637438 + 0.770501i \(0.720006\pi\)
\(150\) −3.66250 + 3.07321i −0.299042 + 0.250926i
\(151\) 21.1411 1.72044 0.860221 0.509921i \(-0.170325\pi\)
0.860221 + 0.509921i \(0.170325\pi\)
\(152\) −1.81908 3.96118i −0.147547 0.321294i
\(153\) −4.34730 −0.351458
\(154\) 18.6951 15.6870i 1.50649 1.26410i
\(155\) −0.960637 0.349643i −0.0771602 0.0280840i
\(156\) 1.03936 5.89452i 0.0832156 0.471939i
\(157\) 3.41013 + 19.3398i 0.272158 + 1.54348i 0.747847 + 0.663871i \(0.231088\pi\)
−0.475689 + 0.879614i \(0.657801\pi\)
\(158\) −1.18732 + 0.432149i −0.0944580 + 0.0343799i
\(159\) 1.33750 2.31661i 0.106070 0.183719i
\(160\) 0.233956 + 0.405223i 0.0184958 + 0.0320357i
\(161\) 10.6873 + 8.96773i 0.842279 + 0.706756i
\(162\) 0.766044 + 0.642788i 0.0601861 + 0.0505022i
\(163\) −2.27584 3.94188i −0.178258 0.308752i 0.763026 0.646368i \(-0.223713\pi\)
−0.941284 + 0.337616i \(0.890379\pi\)
\(164\) 0.979055 1.69577i 0.0764514 0.132418i
\(165\) −2.43242 + 0.885328i −0.189364 + 0.0689227i
\(166\) −3.11468 17.6643i −0.241746 1.37101i
\(167\) 3.32383 18.8504i 0.257205 1.45868i −0.533142 0.846026i \(-0.678989\pi\)
0.790348 0.612658i \(-0.209900\pi\)
\(168\) 4.14543 + 1.50881i 0.319827 + 0.116407i
\(169\) 17.4855 14.6720i 1.34503 1.12862i
\(170\) 2.03415 0.156012
\(171\) 3.06418 + 3.10013i 0.234324 + 0.237073i
\(172\) 3.59627 0.274213
\(173\) 4.25284 3.56856i 0.323337 0.271312i −0.466641 0.884447i \(-0.654536\pi\)
0.789979 + 0.613134i \(0.210092\pi\)
\(174\) 1.41875 + 0.516382i 0.107555 + 0.0391468i
\(175\) 3.66250 20.7711i 0.276859 1.57015i
\(176\) −0.960637 5.44804i −0.0724107 0.410662i
\(177\) −1.24763 + 0.454099i −0.0937773 + 0.0341322i
\(178\) −6.24035 + 10.8086i −0.467734 + 0.810139i
\(179\) 4.17499 + 7.23130i 0.312054 + 0.540493i 0.978807 0.204786i \(-0.0656498\pi\)
−0.666753 + 0.745279i \(0.732316\pi\)
\(180\) −0.358441 0.300767i −0.0267166 0.0224179i
\(181\) −9.64337 8.09175i −0.716786 0.601455i 0.209708 0.977764i \(-0.432749\pi\)
−0.926494 + 0.376309i \(0.877193\pi\)
\(182\) 13.2023 + 22.8671i 0.978622 + 1.69502i
\(183\) 3.31908 5.74881i 0.245353 0.424964i
\(184\) 2.97178 1.08164i 0.219083 0.0797396i
\(185\) 0.224155 + 1.27125i 0.0164802 + 0.0934640i
\(186\) −0.379385 + 2.15160i −0.0278179 + 0.157763i
\(187\) −22.5993 8.22546i −1.65262 0.601505i
\(188\) −7.08512 + 5.94512i −0.516736 + 0.433593i
\(189\) −4.41147 −0.320888
\(190\) −1.43376 1.45059i −0.104016 0.105237i
\(191\) −6.71688 −0.486016 −0.243008 0.970024i \(-0.578134\pi\)
−0.243008 + 0.970024i \(0.578134\pi\)
\(192\) 0.766044 0.642788i 0.0552845 0.0463892i
\(193\) 11.7763 + 4.28623i 0.847677 + 0.308529i 0.729093 0.684415i \(-0.239942\pi\)
0.118584 + 0.992944i \(0.462164\pi\)
\(194\) −1.44310 + 8.18421i −0.103608 + 0.587592i
\(195\) −0.486329 2.75811i −0.0348268 0.197512i
\(196\) −11.7096 + 4.26195i −0.836401 + 0.304425i
\(197\) 2.03596 3.52638i 0.145056 0.251245i −0.784338 0.620334i \(-0.786997\pi\)
0.929394 + 0.369089i \(0.120330\pi\)
\(198\) 2.76604 + 4.79093i 0.196574 + 0.340477i
\(199\) −5.48158 4.59959i −0.388579 0.326057i 0.427480 0.904025i \(-0.359401\pi\)
−0.816059 + 0.577968i \(0.803846\pi\)
\(200\) −3.66250 3.07321i −0.258978 0.217308i
\(201\) 1.24510 + 2.15658i 0.0878226 + 0.152113i
\(202\) −0.620615 + 1.07494i −0.0436663 + 0.0756323i
\(203\) −6.25877 + 2.27801i −0.439280 + 0.159885i
\(204\) −0.754900 4.28125i −0.0528536 0.299748i
\(205\) 0.159100 0.902302i 0.0111120 0.0630195i
\(206\) −3.18004 1.15744i −0.221564 0.0806428i
\(207\) −2.42262 + 2.03282i −0.168384 + 0.141291i
\(208\) 5.98545 0.415016
\(209\) 10.0633 + 21.9136i 0.696093 + 1.51580i
\(210\) 2.06418 0.142442
\(211\) −2.03209 + 1.70513i −0.139895 + 0.117386i −0.710050 0.704151i \(-0.751328\pi\)
0.570155 + 0.821537i \(0.306883\pi\)
\(212\) 2.51367 + 0.914901i 0.172640 + 0.0628357i
\(213\) −1.31908 + 7.48086i −0.0903817 + 0.512580i
\(214\) 2.74644 + 15.5759i 0.187743 + 1.06474i
\(215\) 1.58125 0.575529i 0.107840 0.0392507i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) −4.81908 8.34689i −0.327140 0.566624i
\(218\) −4.45471 3.73794i −0.301711 0.253165i
\(219\) 2.42468 + 2.03455i 0.163845 + 0.137482i
\(220\) −1.29426 2.24173i −0.0872592 0.151137i
\(221\) 13.0103 22.5344i 0.875165 1.51583i
\(222\) 2.59240 0.943555i 0.173990 0.0633273i
\(223\) 2.42246 + 13.7384i 0.162220 + 0.919993i 0.951885 + 0.306456i \(0.0991431\pi\)
−0.789665 + 0.613538i \(0.789746\pi\)
\(224\) −0.766044 + 4.34445i −0.0511835 + 0.290276i
\(225\) 4.49273 + 1.63522i 0.299515 + 0.109015i
\(226\) 9.29679 7.80093i 0.618413 0.518910i
\(227\) −23.6117 −1.56717 −0.783583 0.621287i \(-0.786610\pi\)
−0.783583 + 0.621287i \(0.786610\pi\)
\(228\) −2.52094 + 3.55596i −0.166954 + 0.235499i
\(229\) 8.61081 0.569019 0.284509 0.958673i \(-0.408169\pi\)
0.284509 + 0.958673i \(0.408169\pi\)
\(230\) 1.13357 0.951178i 0.0747454 0.0627188i
\(231\) −22.9329 8.34689i −1.50887 0.549185i
\(232\) −0.262174 + 1.48686i −0.0172126 + 0.0976173i
\(233\) −2.68139 15.2069i −0.175664 0.996238i −0.937375 0.348322i \(-0.886752\pi\)
0.761711 0.647916i \(-0.224359\pi\)
\(234\) −5.62449 + 2.04715i −0.367684 + 0.133826i
\(235\) −2.16385 + 3.74789i −0.141154 + 0.244486i
\(236\) −0.663848 1.14982i −0.0432128 0.0748468i
\(237\) 0.967911 + 0.812174i 0.0628726 + 0.0527564i
\(238\) 14.6912 + 12.3274i 0.952288 + 0.799065i
\(239\) −3.87939 6.71929i −0.250937 0.434635i 0.712847 0.701319i \(-0.247405\pi\)
−0.963784 + 0.266684i \(0.914072\pi\)
\(240\) 0.233956 0.405223i 0.0151018 0.0261570i
\(241\) 12.4846 4.54401i 0.804202 0.292706i 0.0929755 0.995668i \(-0.470362\pi\)
0.711227 + 0.702963i \(0.248140\pi\)
\(242\) 3.40420 + 19.3062i 0.218830 + 1.24105i
\(243\) 0.173648 0.984808i 0.0111395 0.0631754i
\(244\) 6.23783 + 2.27038i 0.399336 + 0.145346i
\(245\) −4.46657 + 3.74789i −0.285358 + 0.239444i
\(246\) −1.95811 −0.124845
\(247\) −25.2399 + 6.60549i −1.60598 + 0.420297i
\(248\) −2.18479 −0.138734
\(249\) −13.7404 + 11.5295i −0.870759 + 0.730654i
\(250\) −4.30066 1.56531i −0.271998 0.0989990i
\(251\) −3.06506 + 17.3828i −0.193465 + 1.09719i 0.721124 + 0.692806i \(0.243626\pi\)
−0.914588 + 0.404386i \(0.867485\pi\)
\(252\) −0.766044 4.34445i −0.0482563 0.273675i
\(253\) −16.4402 + 5.98373i −1.03358 + 0.376194i
\(254\) −0.226682 + 0.392624i −0.0142233 + 0.0246354i
\(255\) −1.01707 1.76162i −0.0636917 0.110317i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 6.05303 + 5.07910i 0.377578 + 0.316825i 0.811751 0.584004i \(-0.198515\pi\)
−0.434173 + 0.900830i \(0.642959\pi\)
\(258\) −1.79813 3.11446i −0.111947 0.193898i
\(259\) −6.08512 + 10.5397i −0.378111 + 0.654908i
\(260\) 2.63176 0.957882i 0.163215 0.0594053i
\(261\) −0.262174 1.48686i −0.0162282 0.0920345i
\(262\) −1.87686 + 10.6442i −0.115953 + 0.657601i
\(263\) 23.8405 + 8.67723i 1.47007 + 0.535061i 0.948119 0.317916i \(-0.102983\pi\)
0.521949 + 0.852977i \(0.325205\pi\)
\(264\) −4.23783 + 3.55596i −0.260820 + 0.218854i
\(265\) 1.25166 0.0768888
\(266\) −1.56418 19.1654i −0.0959059 1.17511i
\(267\) 12.4807 0.763807
\(268\) −1.90760 + 1.60067i −0.116525 + 0.0977765i
\(269\) −18.9538 6.89863i −1.15564 0.420617i −0.308099 0.951354i \(-0.599693\pi\)
−0.847536 + 0.530737i \(0.821915\pi\)
\(270\) −0.0812519 + 0.460802i −0.00494483 + 0.0280435i
\(271\) 3.56165 + 20.1991i 0.216355 + 1.22701i 0.878540 + 0.477669i \(0.158518\pi\)
−0.662185 + 0.749341i \(0.730371\pi\)
\(272\) 4.08512 1.48686i 0.247697 0.0901543i
\(273\) 13.2023 22.8671i 0.799042 1.38398i
\(274\) −5.48545 9.50108i −0.331388 0.573981i
\(275\) 20.2613 + 17.0012i 1.22180 + 1.02521i
\(276\) −2.42262 2.03282i −0.145824 0.122361i
\(277\) −4.56758 7.91128i −0.274439 0.475343i 0.695554 0.718474i \(-0.255159\pi\)
−0.969994 + 0.243131i \(0.921826\pi\)
\(278\) 6.73055 11.6577i 0.403672 0.699180i
\(279\) 2.05303 0.747243i 0.122912 0.0447363i
\(280\) 0.358441 + 2.03282i 0.0214209 + 0.121484i
\(281\) −0.595800 + 3.37895i −0.0355424 + 0.201571i −0.997408 0.0719508i \(-0.977078\pi\)
0.961866 + 0.273522i \(0.0881886\pi\)
\(282\) 8.69119 + 3.16333i 0.517553 + 0.188374i
\(283\) 8.61200 7.22632i 0.511930 0.429560i −0.349878 0.936795i \(-0.613777\pi\)
0.861808 + 0.507235i \(0.169332\pi\)
\(284\) −7.59627 −0.450755
\(285\) −0.539363 + 1.96697i −0.0319491 + 0.116513i
\(286\) −33.1121 −1.95796
\(287\) 6.61721 5.55250i 0.390602 0.327754i
\(288\) −0.939693 0.342020i −0.0553719 0.0201537i
\(289\) 0.329755 1.87014i 0.0193974 0.110008i
\(290\) 0.122674 + 0.695720i 0.00720367 + 0.0408541i
\(291\) 7.80928 2.84234i 0.457788 0.166621i
\(292\) −1.58260 + 2.74114i −0.0926144 + 0.160413i
\(293\) 7.26604 + 12.5852i 0.424487 + 0.735233i 0.996372 0.0851007i \(-0.0271212\pi\)
−0.571886 + 0.820333i \(0.693788\pi\)
\(294\) 9.54576 + 8.00984i 0.556720 + 0.467144i
\(295\) −0.475900 0.399328i −0.0277080 0.0232498i
\(296\) 1.37939 + 2.38917i 0.0801751 + 0.138867i
\(297\) 2.76604 4.79093i 0.160502 0.277998i
\(298\) −7.69594 + 2.80109i −0.445814 + 0.162263i
\(299\) −3.28699 18.6414i −0.190091 1.07806i
\(300\) −0.830222 + 4.70842i −0.0479329 + 0.271841i
\(301\) 14.9081 + 5.42609i 0.859287 + 0.312755i
\(302\) 16.1951 13.5893i 0.931921 0.781975i
\(303\) 1.24123 0.0713068
\(304\) −3.93969 1.86516i −0.225957 0.106974i
\(305\) 3.10607 0.177853
\(306\) −3.33022 + 2.79439i −0.190376 + 0.159745i
\(307\) 24.1532 + 8.79104i 1.37849 + 0.501731i 0.921721 0.387853i \(-0.126783\pi\)
0.456773 + 0.889583i \(0.349005\pi\)
\(308\) 4.23783 24.0339i 0.241473 1.36946i
\(309\) 0.587649 + 3.33272i 0.0334302 + 0.189592i
\(310\) −0.960637 + 0.349643i −0.0545605 + 0.0198584i
\(311\) −2.91875 + 5.05542i −0.165507 + 0.286667i −0.936835 0.349771i \(-0.886259\pi\)
0.771328 + 0.636438i \(0.219593\pi\)
\(312\) −2.99273 5.18355i −0.169430 0.293461i
\(313\) −12.6480 10.6129i −0.714905 0.599876i 0.211066 0.977472i \(-0.432307\pi\)
−0.925971 + 0.377596i \(0.876751\pi\)
\(314\) 15.0437 + 12.6232i 0.848965 + 0.712366i
\(315\) −1.03209 1.78763i −0.0581516 0.100722i
\(316\) −0.631759 + 1.09424i −0.0355392 + 0.0615557i
\(317\) 25.3243 9.21729i 1.42235 0.517695i 0.487624 0.873054i \(-0.337864\pi\)
0.934730 + 0.355359i \(0.115641\pi\)
\(318\) −0.464508 2.63435i −0.0260483 0.147727i
\(319\) 1.45037 8.22546i 0.0812051 0.460537i
\(320\) 0.439693 + 0.160035i 0.0245796 + 0.00894623i
\(321\) 12.1159 10.1664i 0.676242 0.567434i
\(322\) 13.9513 0.777476
\(323\) −15.5856 + 10.7782i −0.867205 + 0.599716i
\(324\) 1.00000 0.0555556
\(325\) −21.9217 + 18.3945i −1.21600 + 1.02034i
\(326\) −4.27719 1.55677i −0.236892 0.0862215i
\(327\) −1.00980 + 5.72686i −0.0558421 + 0.316696i
\(328\) −0.340022 1.92836i −0.0187746 0.106476i
\(329\) −38.3410 + 13.9550i −2.11381 + 0.769362i
\(330\) −1.29426 + 2.24173i −0.0712468 + 0.123403i
\(331\) −14.2442 24.6717i −0.782933 1.35608i −0.930226 0.366987i \(-0.880389\pi\)
0.147293 0.989093i \(-0.452944\pi\)
\(332\) −13.7404 11.5295i −0.754100 0.632765i
\(333\) −2.11334 1.77330i −0.115810 0.0971764i
\(334\) −9.57057 16.5767i −0.523679 0.907038i
\(335\) −0.582596 + 1.00909i −0.0318306 + 0.0551323i
\(336\) 4.14543 1.50881i 0.226152 0.0823125i
\(337\) 2.89780 + 16.4343i 0.157853 + 0.895231i 0.956131 + 0.292941i \(0.0946339\pi\)
−0.798277 + 0.602290i \(0.794255\pi\)
\(338\) 3.96363 22.4789i 0.215593 1.22269i
\(339\) −11.4042 4.15079i −0.619391 0.225440i
\(340\) 1.55825 1.30753i 0.0845079 0.0709105i
\(341\) 12.0865 0.654519
\(342\) 4.34002 + 0.405223i 0.234682 + 0.0219119i
\(343\) −24.0915 −1.30082
\(344\) 2.75490 2.31164i 0.148534 0.124635i
\(345\) −1.39053 0.506111i −0.0748636 0.0272481i
\(346\) 0.964041 5.46735i 0.0518272 0.293926i
\(347\) −3.25237 18.4451i −0.174597 0.990186i −0.938608 0.344984i \(-0.887884\pi\)
0.764012 0.645202i \(-0.223227\pi\)
\(348\) 1.41875 0.516382i 0.0760529 0.0276810i
\(349\) 0.820422 1.42101i 0.0439162 0.0760651i −0.843232 0.537550i \(-0.819350\pi\)
0.887148 + 0.461485i \(0.152683\pi\)
\(350\) −10.5458 18.2658i −0.563695 0.976348i
\(351\) 4.58512 + 3.84737i 0.244736 + 0.205358i
\(352\) −4.23783 3.55596i −0.225877 0.189533i
\(353\) 5.95336 + 10.3115i 0.316866 + 0.548827i 0.979832 0.199822i \(-0.0640363\pi\)
−0.662967 + 0.748649i \(0.730703\pi\)
\(354\) −0.663848 + 1.14982i −0.0352831 + 0.0611122i
\(355\) −3.34002 + 1.21567i −0.177270 + 0.0645210i
\(356\) 2.16725 + 12.2911i 0.114864 + 0.651427i
\(357\) 3.33022 18.8866i 0.176254 0.999586i
\(358\) 7.84642 + 2.85586i 0.414696 + 0.150937i
\(359\) 1.75877 1.47578i 0.0928244 0.0778889i −0.595195 0.803582i \(-0.702925\pi\)
0.688019 + 0.725693i \(0.258481\pi\)
\(360\) −0.467911 −0.0246611
\(361\) 18.6716 + 3.51735i 0.982715 + 0.185124i
\(362\) −12.5885 −0.661638
\(363\) 15.0175 12.6012i 0.788216 0.661392i
\(364\) 24.8123 + 9.03093i 1.30052 + 0.473349i
\(365\) −0.257178 + 1.45853i −0.0134613 + 0.0763429i
\(366\) −1.15270 6.53731i −0.0602528 0.341711i
\(367\) 20.1989 7.35181i 1.05438 0.383761i 0.244063 0.969759i \(-0.421520\pi\)
0.810312 + 0.585998i \(0.199297\pi\)
\(368\) 1.58125 2.73881i 0.0824285 0.142770i
\(369\) 0.979055 + 1.69577i 0.0509676 + 0.0882785i
\(370\) 0.988856 + 0.829748i 0.0514082 + 0.0431366i
\(371\) 9.03983 + 7.58532i 0.469325 + 0.393810i
\(372\) 1.09240 + 1.89209i 0.0566381 + 0.0981001i
\(373\) −13.9907 + 24.2325i −0.724409 + 1.25471i 0.234807 + 0.972042i \(0.424554\pi\)
−0.959217 + 0.282672i \(0.908779\pi\)
\(374\) −22.5993 + 8.22546i −1.16858 + 0.425328i
\(375\) 0.794730 + 4.50714i 0.0410397 + 0.232748i
\(376\) −1.60607 + 9.10846i −0.0828266 + 0.469733i
\(377\) 8.49185 + 3.09078i 0.437352 + 0.159183i
\(378\) −3.37939 + 2.83564i −0.173817 + 0.145850i
\(379\) 8.88981 0.456639 0.228320 0.973586i \(-0.426677\pi\)
0.228320 + 0.973586i \(0.426677\pi\)
\(380\) −2.03074 0.189608i −0.104175 0.00972670i
\(381\) 0.453363 0.0232265
\(382\) −5.14543 + 4.31753i −0.263263 + 0.220904i
\(383\) 23.5069 + 8.55580i 1.20114 + 0.437181i 0.863624 0.504137i \(-0.168189\pi\)
0.337521 + 0.941318i \(0.390412\pi\)
\(384\) 0.173648 0.984808i 0.00886145 0.0502558i
\(385\) −1.98293 11.2457i −0.101059 0.573136i
\(386\) 11.7763 4.28623i 0.599398 0.218163i
\(387\) −1.79813 + 3.11446i −0.0914043 + 0.158317i
\(388\) 4.15523 + 7.19707i 0.210950 + 0.365376i
\(389\) −17.8739 14.9980i −0.906244 0.760429i 0.0651569 0.997875i \(-0.479245\pi\)
−0.971401 + 0.237446i \(0.923690\pi\)
\(390\) −2.14543 1.80023i −0.108638 0.0911582i
\(391\) −6.87417 11.9064i −0.347642 0.602133i
\(392\) −6.23055 + 10.7916i −0.314690 + 0.545060i
\(393\) 10.1566 3.69669i 0.512331 0.186473i
\(394\) −0.707081 4.01006i −0.0356222 0.202024i
\(395\) −0.102663 + 0.582232i −0.00516555 + 0.0292953i
\(396\) 5.19846 + 1.89209i 0.261233 + 0.0950809i
\(397\) 2.90239 2.43539i 0.145667 0.122229i −0.567042 0.823689i \(-0.691912\pi\)
0.712709 + 0.701460i \(0.247468\pi\)
\(398\) −7.15570 −0.358683
\(399\) −15.8157 + 10.9373i −0.791774 + 0.547552i
\(400\) −4.78106 −0.239053
\(401\) −16.7456 + 14.0512i −0.836234 + 0.701683i −0.956713 0.291032i \(-0.906001\pi\)
0.120479 + 0.992716i \(0.461557\pi\)
\(402\) 2.34002 + 0.851698i 0.116710 + 0.0424789i
\(403\) −2.27079 + 12.8783i −0.113116 + 0.641514i
\(404\) 0.215537 + 1.22237i 0.0107234 + 0.0608153i
\(405\) 0.439693 0.160035i 0.0218485 0.00795220i
\(406\) −3.33022 + 5.76811i −0.165276 + 0.286267i
\(407\) −7.63088 13.2171i −0.378249 0.655146i
\(408\) −3.33022 2.79439i −0.164871 0.138343i
\(409\) −6.06418 5.08845i −0.299854 0.251608i 0.480429 0.877033i \(-0.340481\pi\)
−0.780284 + 0.625426i \(0.784925\pi\)
\(410\) −0.458111 0.793471i −0.0226245 0.0391868i
\(411\) −5.48545 + 9.50108i −0.270577 + 0.468654i
\(412\) −3.18004 + 1.15744i −0.156670 + 0.0570231i
\(413\) −1.01707 5.76811i −0.0500469 0.283830i
\(414\) −0.549163 + 3.11446i −0.0269899 + 0.153067i
\(415\) −7.88666 2.87051i −0.387141 0.140908i
\(416\) 4.58512 3.84737i 0.224804 0.188633i
\(417\) −13.4611 −0.659193
\(418\) 21.7947 + 10.3182i 1.06602 + 0.504681i
\(419\) 6.22937 0.304325 0.152162 0.988356i \(-0.451376\pi\)
0.152162 + 0.988356i \(0.451376\pi\)
\(420\) 1.58125 1.32683i 0.0771572 0.0647426i
\(421\) 3.35591 + 1.22145i 0.163557 + 0.0595300i 0.422501 0.906362i \(-0.361152\pi\)
−0.258944 + 0.965892i \(0.583374\pi\)
\(422\) −0.460637 + 2.61240i −0.0224235 + 0.127170i
\(423\) −1.60607 9.10846i −0.0780896 0.442868i
\(424\) 2.51367 0.914901i 0.122075 0.0444315i
\(425\) −10.3923 + 18.0001i −0.504103 + 0.873131i
\(426\) 3.79813 + 6.57856i 0.184020 + 0.318732i
\(427\) 22.4329 + 18.8234i 1.08560 + 0.910929i
\(428\) 12.1159 + 10.1664i 0.585643 + 0.491412i
\(429\) 16.5560 + 28.6759i 0.799332 + 1.38448i
\(430\) 0.841367 1.45729i 0.0405743 0.0702767i
\(431\) 24.2520 8.82699i 1.16818 0.425181i 0.316164 0.948704i \(-0.397605\pi\)
0.852011 + 0.523523i \(0.175383\pi\)
\(432\) 0.173648 + 0.984808i 0.00835465 + 0.0473816i
\(433\) 4.53209 25.7028i 0.217798 1.23520i −0.658186 0.752856i \(-0.728676\pi\)
0.875984 0.482340i \(-0.160213\pi\)
\(434\) −9.05690 3.29644i −0.434745 0.158234i
\(435\) 0.541174 0.454099i 0.0259473 0.0217724i
\(436\) −5.81521 −0.278498
\(437\) −3.64543 + 13.2943i −0.174385 + 0.635952i
\(438\) 3.16519 0.151239
\(439\) 17.3366 14.5472i 0.827432 0.694298i −0.127268 0.991868i \(-0.540621\pi\)
0.954700 + 0.297571i \(0.0961764\pi\)
\(440\) −2.43242 0.885328i −0.115961 0.0422064i
\(441\) 2.16385 12.2718i 0.103040 0.584371i
\(442\) −4.51842 25.6252i −0.214919 1.21887i
\(443\) −13.5432 + 4.92933i −0.643458 + 0.234200i −0.643079 0.765800i \(-0.722343\pi\)
−0.000379869 1.00000i \(0.500121\pi\)
\(444\) 1.37939 2.38917i 0.0654627 0.113385i
\(445\) 2.91993 + 5.05747i 0.138418 + 0.239747i
\(446\) 10.6866 + 8.96713i 0.506025 + 0.424606i
\(447\) 6.27379 + 5.26433i 0.296740 + 0.248994i
\(448\) 2.20574 + 3.82045i 0.104211 + 0.180499i
\(449\) −18.1361 + 31.4126i −0.855895 + 1.48245i 0.0199166 + 0.999802i \(0.493660\pi\)
−0.875812 + 0.482653i \(0.839673\pi\)
\(450\) 4.49273 1.63522i 0.211789 0.0770849i
\(451\) 1.88103 + 10.6679i 0.0885744 + 0.502331i
\(452\) 2.10741 11.9517i 0.0991243 0.562162i
\(453\) −19.8662 7.23070i −0.933395 0.339728i
\(454\) −18.0876 + 15.1773i −0.848895 + 0.712308i
\(455\) 12.3550 0.579213
\(456\) 0.354570 + 4.34445i 0.0166043 + 0.203448i
\(457\) −40.4543 −1.89237 −0.946186 0.323623i \(-0.895099\pi\)
−0.946186 + 0.323623i \(0.895099\pi\)
\(458\) 6.59627 5.53492i 0.308223 0.258630i
\(459\) 4.08512 + 1.48686i 0.190677 + 0.0694008i
\(460\) 0.256959 1.45729i 0.0119808 0.0679465i
\(461\) −6.81996 38.6779i −0.317637 1.80141i −0.557037 0.830488i \(-0.688062\pi\)
0.239400 0.970921i \(-0.423049\pi\)
\(462\) −22.9329 + 8.34689i −1.06693 + 0.388332i
\(463\) −10.4167 + 18.0422i −0.484105 + 0.838494i −0.999833 0.0182582i \(-0.994188\pi\)
0.515729 + 0.856752i \(0.327521\pi\)
\(464\) 0.754900 + 1.30753i 0.0350454 + 0.0607003i
\(465\) 0.783119 + 0.657115i 0.0363163 + 0.0304730i
\(466\) −11.8289 9.92561i −0.547962 0.459795i
\(467\) 5.96198 + 10.3265i 0.275888 + 0.477851i 0.970359 0.241669i \(-0.0776949\pi\)
−0.694471 + 0.719521i \(0.744362\pi\)
\(468\) −2.99273 + 5.18355i −0.138339 + 0.239610i
\(469\) −10.3229 + 3.75725i −0.476669 + 0.173493i
\(470\) 0.751497 + 4.26195i 0.0346639 + 0.196589i
\(471\) 3.41013 19.3398i 0.157130 0.891131i
\(472\) −1.24763 0.454099i −0.0574266 0.0209016i
\(473\) −15.2404 + 12.7882i −0.700752 + 0.588001i
\(474\) 1.26352 0.0580353
\(475\) 20.1612 5.27633i 0.925057 0.242095i
\(476\) 19.1780 0.879022
\(477\) −2.04916 + 1.71945i −0.0938247 + 0.0787283i
\(478\) −7.29086 2.65366i −0.333476 0.121375i
\(479\) −1.28564 + 7.29125i −0.0587426 + 0.333146i −0.999990 0.00457323i \(-0.998544\pi\)
0.941247 + 0.337719i \(0.109655\pi\)
\(480\) −0.0812519 0.460802i −0.00370863 0.0210327i
\(481\) 15.5167 5.64760i 0.707499 0.257509i
\(482\) 6.64290 11.5058i 0.302576 0.524077i
\(483\) −6.97565 12.0822i −0.317403 0.549758i
\(484\) 15.0175 + 12.6012i 0.682615 + 0.572782i
\(485\) 2.97881 + 2.49952i 0.135261 + 0.113497i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 11.2934 19.5607i 0.511752 0.886381i −0.488155 0.872757i \(-0.662330\pi\)
0.999907 0.0136238i \(-0.00433672\pi\)
\(488\) 6.23783 2.27038i 0.282373 0.102775i
\(489\) 0.790393 + 4.48254i 0.0357428 + 0.202707i
\(490\) −1.01249 + 5.74211i −0.0457396 + 0.259402i
\(491\) −15.0680 5.48432i −0.680011 0.247504i −0.0211590 0.999776i \(-0.506736\pi\)
−0.658852 + 0.752272i \(0.728958\pi\)
\(492\) −1.50000 + 1.25865i −0.0676252 + 0.0567443i
\(493\) 6.56355 0.295607
\(494\) −15.0890 + 21.2840i −0.678886 + 0.957613i
\(495\) 2.58853 0.116346
\(496\) −1.67365 + 1.40436i −0.0751490 + 0.0630575i
\(497\) −31.4898 11.4613i −1.41251 0.514112i
\(498\) −3.11468 + 17.6643i −0.139572 + 0.791554i
\(499\) −6.09879 34.5880i −0.273019 1.54837i −0.745183 0.666860i \(-0.767638\pi\)
0.472164 0.881511i \(-0.343473\pi\)
\(500\) −4.30066 + 1.56531i −0.192331 + 0.0700029i
\(501\) −9.57057 + 16.5767i −0.427582 + 0.740593i
\(502\) 8.82547 + 15.2862i 0.393900 + 0.682255i
\(503\) 30.7395 + 25.7935i 1.37061 + 1.15007i 0.972545 + 0.232715i \(0.0747611\pi\)
0.398061 + 0.917359i \(0.369683\pi\)
\(504\) −3.37939 2.83564i −0.150530 0.126309i
\(505\) 0.290393 + 0.502975i 0.0129223 + 0.0223821i
\(506\) −8.74763 + 15.1513i −0.388879 + 0.673559i
\(507\) −21.4491 + 7.80683i −0.952587 + 0.346713i
\(508\) 0.0787257 + 0.446476i 0.00349289 + 0.0198092i
\(509\) 0.745100 4.22567i 0.0330260 0.187300i −0.963832 0.266511i \(-0.914129\pi\)
0.996858 + 0.0792114i \(0.0252402\pi\)
\(510\) −1.91147 0.695720i −0.0846415 0.0308070i
\(511\) −10.6964 + 8.97535i −0.473181 + 0.397046i
\(512\) 1.00000 0.0441942
\(513\) −1.81908 3.96118i −0.0803142 0.174890i
\(514\) 7.90167 0.348528
\(515\) −1.21301 + 1.01784i −0.0534517 + 0.0448513i
\(516\) −3.37939 1.23000i −0.148769 0.0541475i
\(517\) 8.88490 50.3888i 0.390758 2.21610i
\(518\) 2.11334 + 11.9854i 0.0928549 + 0.526606i
\(519\) −5.21688 + 1.89879i −0.228996 + 0.0833476i
\(520\) 1.40033 2.42544i 0.0614085 0.106363i
\(521\) −4.38532 7.59559i −0.192124 0.332769i 0.753830 0.657070i \(-0.228204\pi\)
−0.945954 + 0.324301i \(0.894871\pi\)
\(522\) −1.15657 0.970481i −0.0506219 0.0424768i
\(523\) 22.9800 + 19.2825i 1.00484 + 0.843165i 0.987648 0.156687i \(-0.0500815\pi\)
0.0171965 + 0.999852i \(0.494526\pi\)
\(524\) 5.40420 + 9.36035i 0.236084 + 0.408909i
\(525\) −10.5458 + 18.2658i −0.460255 + 0.797184i
\(526\) 23.8405 8.67723i 1.03949 0.378345i
\(527\) 1.64930 + 9.35365i 0.0718446 + 0.407451i
\(528\) −0.960637 + 5.44804i −0.0418064 + 0.237096i
\(529\) 12.2147 + 4.44577i 0.531072 + 0.193294i
\(530\) 0.958826 0.804551i 0.0416487 0.0349474i
\(531\) 1.32770 0.0576171
\(532\) −13.5175 13.6761i −0.586060 0.592936i
\(533\) −11.7202 −0.507657
\(534\) 9.56077 8.02244i 0.413735 0.347165i
\(535\) 6.95424 + 2.53114i 0.300658 + 0.109431i
\(536\) −0.432419 + 2.45237i −0.0186776 + 0.105926i
\(537\) −1.44996 8.22313i −0.0625704 0.354854i
\(538\) −18.9538 + 6.89863i −0.817158 + 0.297421i
\(539\) 34.4680 59.7003i 1.48464 2.57147i
\(540\) 0.233956 + 0.405223i 0.0100678 + 0.0174380i
\(541\) 3.83544 + 3.21831i 0.164898 + 0.138366i 0.721503 0.692411i \(-0.243452\pi\)
−0.556605 + 0.830778i \(0.687896\pi\)
\(542\) 15.7121 + 13.1840i 0.674894 + 0.566303i
\(543\) 6.29426 + 10.9020i 0.270113 + 0.467849i
\(544\) 2.17365 3.76487i 0.0931944 0.161417i
\(545\) −2.55690 + 0.930637i −0.109526 + 0.0398641i
\(546\) −4.58512 26.0035i −0.196225 1.11285i
\(547\) 2.35803 13.3731i 0.100822 0.571790i −0.891985 0.452065i \(-0.850687\pi\)
0.992807 0.119725i \(-0.0382014\pi\)
\(548\) −10.3093 3.75227i −0.440391 0.160289i
\(549\) −5.08512 + 4.26692i −0.217028 + 0.182108i
\(550\) 26.4492 1.12780
\(551\) −4.62630 4.68058i −0.197087 0.199399i
\(552\) −3.16250 −0.134605
\(553\) −4.26991 + 3.58288i −0.181575 + 0.152360i
\(554\) −8.58424 3.12441i −0.364710 0.132743i
\(555\) 0.224155 1.27125i 0.00951487 0.0539615i
\(556\) −2.33750 13.2566i −0.0991319 0.562205i
\(557\) 22.2961 8.11511i 0.944715 0.343848i 0.176689 0.984267i \(-0.443461\pi\)
0.768026 + 0.640419i \(0.221239\pi\)
\(558\) 1.09240 1.89209i 0.0462448 0.0800984i
\(559\) −10.7626 18.6414i −0.455211 0.788449i
\(560\) 1.58125 + 1.32683i 0.0668201 + 0.0560687i
\(561\) 18.4231 + 15.4588i 0.777823 + 0.652671i
\(562\) 1.71554 + 2.97140i 0.0723656 + 0.125341i
\(563\) 7.37211 12.7689i 0.310697 0.538144i −0.667816 0.744326i \(-0.732771\pi\)
0.978514 + 0.206183i \(0.0661041\pi\)
\(564\) 8.69119 3.16333i 0.365965 0.133200i
\(565\) −0.986081 5.59234i −0.0414847 0.235272i
\(566\) 1.95218 11.0714i 0.0820563 0.465364i
\(567\) 4.14543 + 1.50881i 0.174092 + 0.0633642i
\(568\) −5.81908 + 4.88279i −0.244163 + 0.204877i
\(569\) 23.9668 1.00474 0.502370 0.864653i \(-0.332462\pi\)
0.502370 + 0.864653i \(0.332462\pi\)
\(570\) 0.851167 + 1.85348i 0.0356515 + 0.0776338i
\(571\) −41.0847 −1.71934 −0.859671 0.510848i \(-0.829331\pi\)
−0.859671 + 0.510848i \(0.829331\pi\)
\(572\) −25.3653 + 21.2840i −1.06058 + 0.889929i
\(573\) 6.31180 + 2.29731i 0.263679 + 0.0959714i
\(574\) 1.50000 8.50692i 0.0626088 0.355072i
\(575\) 2.62558 + 14.8904i 0.109494 + 0.620973i
\(576\) −0.939693 + 0.342020i −0.0391539 + 0.0142508i
\(577\) 3.72756 6.45632i 0.155180 0.268780i −0.777944 0.628333i \(-0.783737\pi\)
0.933125 + 0.359553i \(0.117071\pi\)
\(578\) −0.949493 1.64457i −0.0394937 0.0684051i
\(579\) −9.60014 8.05547i −0.398968 0.334774i
\(580\) 0.541174 + 0.454099i 0.0224710 + 0.0188554i
\(581\) −39.5638 68.5265i −1.64138 2.84296i
\(582\) 4.15523 7.19707i 0.172240 0.298328i
\(583\) −13.9058 + 5.06132i −0.575921 + 0.209618i
\(584\) 0.549630 + 3.11711i 0.0227438 + 0.128987i
\(585\) −0.486329 + 2.75811i −0.0201072 + 0.114034i
\(586\) 13.6557 + 4.97027i 0.564112 + 0.205320i
\(587\) 4.53462 3.80499i 0.187164 0.157049i −0.544391 0.838831i \(-0.683239\pi\)
0.731555 + 0.681782i \(0.238795\pi\)
\(588\) 12.4611 0.513887
\(589\) 5.50774 7.76903i 0.226943 0.320117i
\(590\) −0.621244 −0.0255762
\(591\) −3.11927 + 2.61738i −0.128310 + 0.107665i
\(592\) 2.59240 + 0.943555i 0.106547 + 0.0387799i
\(593\) −0.870767 + 4.93837i −0.0357581 + 0.202794i −0.997453 0.0713281i \(-0.977276\pi\)
0.961695 + 0.274122i \(0.0883874\pi\)
\(594\) −0.960637 5.44804i −0.0394154 0.223536i
\(595\) 8.43242 3.06915i 0.345695 0.125823i
\(596\) −4.09492 + 7.09261i −0.167735 + 0.290525i
\(597\) 3.57785 + 6.19702i 0.146432 + 0.253627i
\(598\) −14.5005 12.1673i −0.592968 0.497559i
\(599\) 3.68164 + 3.08926i 0.150428 + 0.126224i 0.714896 0.699231i \(-0.246474\pi\)
−0.564468 + 0.825455i \(0.690919\pi\)
\(600\) 2.39053 + 4.14052i 0.0975930 + 0.169036i
\(601\) −4.42468 + 7.66377i −0.180486 + 0.312612i −0.942046 0.335483i \(-0.891101\pi\)
0.761560 + 0.648095i \(0.224434\pi\)
\(602\) 14.9081 5.42609i 0.607608 0.221151i
\(603\) −0.432419 2.45237i −0.0176094 0.0998681i
\(604\) 3.67112 20.8200i 0.149376 0.847152i
\(605\) 8.61974 + 3.13733i 0.350442 + 0.127551i
\(606\) 0.950837 0.797847i 0.0386251 0.0324103i
\(607\) 0.715948 0.0290594 0.0145297 0.999894i \(-0.495375\pi\)
0.0145297 + 0.999894i \(0.495375\pi\)
\(608\) −4.21688 + 1.10359i −0.171017 + 0.0447565i
\(609\) 6.66044 0.269895
\(610\) 2.37939 1.99654i 0.0963385 0.0808376i
\(611\) 52.0207 + 18.9340i 2.10453 + 0.765987i
\(612\) −0.754900 + 4.28125i −0.0305150 + 0.173059i
\(613\) 4.23870 + 24.0389i 0.171200 + 0.970921i 0.942440 + 0.334377i \(0.108526\pi\)
−0.771240 + 0.636545i \(0.780363\pi\)
\(614\) 24.1532 8.79104i 0.974743 0.354777i
\(615\) −0.458111 + 0.793471i −0.0184728 + 0.0319959i
\(616\) −12.2023 21.1351i −0.491646 0.851556i
\(617\) −33.2918 27.9351i −1.34028 1.12463i −0.981555 0.191182i \(-0.938768\pi\)
−0.358722 0.933444i \(-0.616788\pi\)
\(618\) 2.59240 + 2.17528i 0.104281 + 0.0875025i
\(619\) −11.8648 20.5505i −0.476888 0.825994i 0.522761 0.852479i \(-0.324902\pi\)
−0.999649 + 0.0264848i \(0.991569\pi\)
\(620\) −0.511144 + 0.885328i −0.0205281 + 0.0355556i
\(621\) 2.97178 1.08164i 0.119253 0.0434047i
\(622\) 1.01367 + 5.74881i 0.0406445 + 0.230506i
\(623\) −9.56077 + 54.2218i −0.383044 + 2.17235i
\(624\) −5.62449 2.04715i −0.225160 0.0819514i
\(625\) 16.6721 13.9895i 0.666882 0.559581i
\(626\) −16.5107 −0.659902
\(627\) −1.96151 24.0339i −0.0783353 0.959822i
\(628\) 19.6382 0.783648
\(629\) 9.18732 7.70908i 0.366322 0.307381i
\(630\) −1.93969 0.705990i −0.0772792 0.0281273i
\(631\) −4.48293 + 25.4239i −0.178462 + 1.01211i 0.755609 + 0.655023i \(0.227341\pi\)
−0.934071 + 0.357087i \(0.883770\pi\)
\(632\) 0.219408 + 1.24432i 0.00872757 + 0.0494965i
\(633\) 2.49273 0.907278i 0.0990770 0.0360611i
\(634\) 13.4748 23.3390i 0.535152 0.926910i
\(635\) 0.106067 + 0.183713i 0.00420913 + 0.00729043i
\(636\) −2.04916 1.71945i −0.0812546 0.0681807i
\(637\) 57.1357 + 47.9425i 2.26380 + 1.89955i
\(638\) −4.17617 7.23335i −0.165336 0.286371i
\(639\) 3.79813 6.57856i 0.150252 0.260244i
\(640\) 0.439693 0.160035i 0.0173804 0.00632594i
\(641\) −1.87645 10.6419i −0.0741153 0.420329i −0.999179 0.0405163i \(-0.987100\pi\)
0.925064 0.379812i \(-0.124011\pi\)
\(642\) 2.74644 15.5759i 0.108394 0.614730i
\(643\) −13.5360 4.92669i −0.533806 0.194290i 0.0610309 0.998136i \(-0.480561\pi\)
−0.594837 + 0.803846i \(0.702783\pi\)
\(644\) 10.6873 8.96773i 0.421139 0.353378i
\(645\) −1.68273 −0.0662576
\(646\) −5.01114 + 18.2748i −0.197161 + 0.719013i
\(647\) −24.9463 −0.980738 −0.490369 0.871515i \(-0.663138\pi\)
−0.490369 + 0.871515i \(0.663138\pi\)
\(648\) 0.766044 0.642788i 0.0300931 0.0252511i
\(649\) 6.90198 + 2.51211i 0.270926 + 0.0986091i
\(650\) −4.96926 + 28.1820i −0.194910 + 1.10539i
\(651\) 1.67365 + 9.49173i 0.0655954 + 0.372010i
\(652\) −4.27719 + 1.55677i −0.167508 + 0.0609678i
\(653\) −17.8071 + 30.8427i −0.696844 + 1.20697i 0.272711 + 0.962096i \(0.412080\pi\)
−0.969555 + 0.244873i \(0.921254\pi\)
\(654\) 2.90760 + 5.03612i 0.113696 + 0.196928i
\(655\) 3.87417 + 3.25082i 0.151376 + 0.127020i
\(656\) −1.50000 1.25865i −0.0585652 0.0491420i
\(657\) −1.58260 2.74114i −0.0617430 0.106942i
\(658\) −20.4008 + 35.3352i −0.795306 + 1.37751i
\(659\) 46.0163 16.7485i 1.79254 0.652431i 0.793501 0.608569i \(-0.208256\pi\)
0.999038 0.0438619i \(-0.0139662\pi\)
\(660\) 0.449493 + 2.54920i 0.0174965 + 0.0992275i
\(661\) −5.90966 + 33.5154i −0.229859 + 1.30360i 0.623315 + 0.781971i \(0.285785\pi\)
−0.853174 + 0.521626i \(0.825326\pi\)
\(662\) −26.7704 9.74362i −1.04046 0.378697i
\(663\) −19.9329 + 16.7257i −0.774129 + 0.649571i
\(664\) −17.9368 −0.696081
\(665\) −8.13223 3.85002i −0.315354 0.149297i
\(666\) −2.75877 −0.106900
\(667\) 3.65767 3.06915i 0.141626 0.118838i
\(668\) −17.9868 6.54666i −0.695930 0.253298i
\(669\) 2.42246 13.7384i 0.0936576 0.531158i
\(670\) 0.202333 + 1.14749i 0.00781682 + 0.0443314i
\(671\) −34.5082 + 12.5600i −1.33217 + 0.484872i
\(672\) 2.20574 3.82045i 0.0850882 0.147377i
\(673\) 14.1493 + 24.5073i 0.545415 + 0.944687i 0.998581 + 0.0532607i \(0.0169614\pi\)
−0.453165 + 0.891427i \(0.649705\pi\)
\(674\) 12.7836 + 10.7267i 0.492405 + 0.413177i
\(675\) −3.66250 3.07321i −0.140970 0.118288i
\(676\) −11.4128 19.7676i −0.438955 0.760292i
\(677\) −12.5025 + 21.6550i −0.480511 + 0.832270i −0.999750 0.0223595i \(-0.992882\pi\)
0.519239 + 0.854629i \(0.326215\pi\)
\(678\) −11.4042 + 4.15079i −0.437976 + 0.159410i
\(679\) 6.36618 + 36.1044i 0.244312 + 1.38556i
\(680\) 0.353226 2.00324i 0.0135456 0.0768209i
\(681\) 22.1878 + 8.07569i 0.850238 + 0.309461i
\(682\) 9.25877 7.76903i 0.354537 0.297492i
\(683\) −40.1284 −1.53547 −0.767734 0.640768i \(-0.778616\pi\)
−0.767734 + 0.640768i \(0.778616\pi\)
\(684\) 3.58512 2.47929i 0.137081 0.0947982i
\(685\) −5.13341 −0.196137
\(686\) −18.4552 + 15.4857i −0.704622 + 0.591248i
\(687\) −8.09152 2.94507i −0.308711 0.112362i
\(688\) 0.624485 3.54163i 0.0238083 0.135023i
\(689\) −2.78029 15.7678i −0.105921 0.600705i
\(690\) −1.39053 + 0.506111i −0.0529366 + 0.0192673i
\(691\) −1.44087 + 2.49567i −0.0548135 + 0.0949397i −0.892130 0.451778i \(-0.850790\pi\)
0.837317 + 0.546718i \(0.184123\pi\)
\(692\) −2.77584 4.80790i −0.105522 0.182769i
\(693\) 18.6951 + 15.6870i 0.710167 + 0.595901i
\(694\) −14.3478 12.0392i −0.544634 0.457002i
\(695\) −3.14930 5.45475i −0.119460 0.206910i
\(696\) 0.754900 1.30753i 0.0286144 0.0495616i
\(697\) −7.99912 + 2.91144i −0.302988 + 0.110279i
\(698\) −0.284930 1.61592i −0.0107847 0.0611633i
\(699\) −2.68139 + 15.2069i −0.101419 + 0.575178i
\(700\) −19.8195 7.21372i −0.749108 0.272653i
\(701\) 11.8491 9.94258i 0.447535 0.375526i −0.390985 0.920397i \(-0.627866\pi\)
0.838520 + 0.544871i \(0.183421\pi\)
\(702\) 5.98545 0.225906
\(703\) −11.9731 1.11792i −0.451575 0.0421630i
\(704\) −5.53209 −0.208498
\(705\) 3.31521 2.78179i 0.124858 0.104768i
\(706\) 11.1887 + 4.07234i 0.421091 + 0.153265i
\(707\) −0.950837 + 5.39246i −0.0357599 + 0.202804i
\(708\) 0.230552 + 1.30753i 0.00866467 + 0.0491398i
\(709\) −43.8353 + 15.9548i −1.64627 + 0.599193i −0.988119 0.153692i \(-0.950884\pi\)
−0.658152 + 0.752885i \(0.728661\pi\)
\(710\) −1.77719 + 3.07818i −0.0666967 + 0.115522i
\(711\) −0.631759 1.09424i −0.0236928 0.0410372i
\(712\) 9.56077 + 8.02244i 0.358305 + 0.300654i
\(713\) 5.29292 + 4.44129i 0.198221 + 0.166327i
\(714\) −9.58899 16.6086i −0.358859 0.621562i
\(715\) −7.74675 + 13.4178i −0.289712 + 0.501796i
\(716\) 7.84642 2.85586i 0.293234 0.106729i
\(717\) 1.34730 + 7.64090i 0.0503157 + 0.285355i
\(718\) 0.398681 2.26103i 0.0148786 0.0843810i
\(719\) 10.8020 + 3.93161i 0.402847 + 0.146624i 0.535494 0.844539i \(-0.320125\pi\)
−0.132647 + 0.991163i \(0.542348\pi\)
\(720\) −0.358441 + 0.300767i −0.0133583 + 0.0112089i
\(721\) −14.9290 −0.555986
\(722\) 16.5642 9.30742i 0.616455 0.346386i
\(723\) −13.2858 −0.494104
\(724\) −9.64337 + 8.09175i −0.358393 + 0.300727i
\(725\) −6.78312 2.46885i −0.251919 0.0916909i
\(726\) 3.40420 19.3062i 0.126342 0.716519i
\(727\) 3.02687 + 17.1663i 0.112261 + 0.636661i 0.988070 + 0.154004i \(0.0492170\pi\)
−0.875810 + 0.482657i \(0.839672\pi\)
\(728\) 24.8123 9.03093i 0.919604 0.334708i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 0.740514 + 1.28261i 0.0274077 + 0.0474715i
\(731\) −11.9764 10.0494i −0.442962 0.371689i
\(732\) −5.08512 4.26692i −0.187952 0.157710i
\(733\) 21.9393 + 38.0000i 0.810346 + 1.40356i 0.912622 + 0.408804i \(0.134054\pi\)
−0.102276 + 0.994756i \(0.532613\pi\)
\(734\) 10.7476 18.6154i 0.396702 0.687108i
\(735\) 5.47906 1.99421i 0.202098 0.0735577i
\(736\) −0.549163 3.11446i −0.0202424 0.114800i
\(737\) 2.39218 13.5667i 0.0881170 0.499736i
\(738\) 1.84002 + 0.669713i 0.0677322 + 0.0246525i
\(739\) −13.6040 + 11.4151i −0.500432 + 0.419912i −0.857747 0.514072i \(-0.828136\pi\)
0.357316 + 0.933984i \(0.383692\pi\)
\(740\) 1.29086 0.0474529
\(741\) 25.9770 + 2.42544i 0.954289 + 0.0891008i
\(742\) 11.8007 0.433216
\(743\) 7.98751 6.70232i 0.293033 0.245884i −0.484404 0.874844i \(-0.660964\pi\)
0.777438 + 0.628960i \(0.216519\pi\)
\(744\) 2.05303 + 0.747243i 0.0752679 + 0.0273953i
\(745\) −0.665441 + 3.77390i −0.0243799 + 0.138265i
\(746\) 4.85891 + 27.5562i 0.177897 + 1.00891i
\(747\) 16.8550 6.13473i 0.616694 0.224458i
\(748\) −12.0248 + 20.8276i −0.439671 + 0.761532i
\(749\) 34.8862 + 60.4248i 1.27472 + 2.20787i
\(750\) 3.50593 + 2.94182i 0.128018 + 0.107420i
\(751\) −26.0915 21.8934i −0.952093 0.798901i 0.0275557 0.999620i \(-0.491228\pi\)
−0.979649 + 0.200719i \(0.935672\pi\)
\(752\) 4.62449 + 8.00984i 0.168638 + 0.292089i
\(753\) 8.82547 15.2862i 0.321618 0.557059i
\(754\) 8.49185 3.09078i 0.309255 0.112560i
\(755\) −1.71776 9.74189i −0.0625156 0.354544i
\(756\) −0.766044 + 4.34445i −0.0278608 + 0.158006i
\(757\) −40.6664 14.8014i −1.47805 0.537965i −0.527774 0.849385i \(-0.676973\pi\)
−0.950272 + 0.311420i \(0.899195\pi\)
\(758\) 6.80999 5.71426i 0.247350 0.207551i
\(759\) 17.4953 0.635037
\(760\) −1.67752 + 1.16009i −0.0608500 + 0.0420809i
\(761\) 14.1679 0.513585 0.256793 0.966467i \(-0.417334\pi\)
0.256793 + 0.966467i \(0.417334\pi\)
\(762\) 0.347296 0.291416i 0.0125812 0.0105569i
\(763\) −24.1065 8.77406i −0.872715 0.317642i
\(764\) −1.16637 + 6.61484i −0.0421979 + 0.239316i
\(765\) 0.353226 + 2.00324i 0.0127709 + 0.0724275i
\(766\) 23.5069 8.55580i 0.849338 0.309134i
\(767\) −3.97343 + 6.88218i −0.143472 + 0.248501i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −13.9722 11.7241i −0.503852 0.422782i 0.355107 0.934825i \(-0.384444\pi\)
−0.858960 + 0.512043i \(0.828889\pi\)
\(770\) −8.74763 7.34013i −0.315243 0.264520i
\(771\) −3.95084 6.84305i −0.142286 0.246446i
\(772\) 6.26604 10.8531i 0.225520 0.390612i