Properties

Label 177.2.f.a.89.13
Level $177$
Weight $2$
Character 177.89
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 89.13
Character \(\chi\) \(=\) 177.89
Dual form 177.2.f.a.2.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0767664 + 1.41587i) q^{2} +(-1.40399 + 1.01430i) q^{3} +(-0.0105295 + 0.00114515i) q^{4} +(0.435891 + 1.29368i) q^{5} +(-1.54390 - 1.91001i) q^{6} +(-0.863119 + 1.27300i) q^{7} +(0.456369 + 2.78373i) q^{8} +(0.942378 - 2.84814i) q^{9} +O(q^{10})\) \(q+(0.0767664 + 1.41587i) q^{2} +(-1.40399 + 1.01430i) q^{3} +(-0.0105295 + 0.00114515i) q^{4} +(0.435891 + 1.29368i) q^{5} +(-1.54390 - 1.91001i) q^{6} +(-0.863119 + 1.27300i) q^{7} +(0.456369 + 2.78373i) q^{8} +(0.942378 - 2.84814i) q^{9} +(-1.79822 + 0.716478i) q^{10} +(-4.10679 - 0.903973i) q^{11} +(0.0136218 - 0.0122879i) q^{12} +(1.27734 + 1.08498i) q^{13} +(-1.86867 - 1.12434i) q^{14} +(-1.92417 - 1.37419i) q^{15} +(-3.92706 + 0.864411i) q^{16} +(1.70949 - 1.15906i) q^{17} +(4.10496 + 1.11565i) q^{18} +(-0.106239 - 0.200388i) q^{19} +(-0.00607117 - 0.0131226i) q^{20} +(-0.0794024 - 2.66275i) q^{21} +(0.964648 - 5.88409i) q^{22} +(2.98538 + 2.82791i) q^{23} +(-3.46428 - 3.44543i) q^{24} +(2.49686 - 1.89807i) q^{25} +(-1.43814 + 1.89184i) q^{26} +(1.56579 + 4.95462i) q^{27} +(0.00763042 - 0.0143925i) q^{28} +(-1.83130 - 0.0992904i) q^{29} +(1.79796 - 2.82987i) q^{30} +(5.88013 + 3.11745i) q^{31} +(-0.0160288 - 0.0577305i) q^{32} +(6.68280 - 2.89636i) q^{33} +(1.77232 + 2.33145i) q^{34} +(-2.02308 - 0.561707i) q^{35} +(-0.00666121 + 0.0310687i) q^{36} +(9.18142 + 1.50522i) q^{37} +(0.275569 - 0.165804i) q^{38} +(-2.89387 - 0.227694i) q^{39} +(-3.40232 + 1.80380i) q^{40} +(0.553401 + 0.584218i) q^{41} +(3.76402 - 0.316834i) q^{42} +(-1.76942 - 8.03857i) q^{43} +(0.0442776 + 0.00481548i) q^{44} +(4.09536 - 0.0223458i) q^{45} +(-3.77478 + 4.44402i) q^{46} +(4.56389 + 1.53775i) q^{47} +(4.63678 - 5.19686i) q^{48} +(1.71540 + 4.30533i) q^{49} +(2.87910 + 3.38953i) q^{50} +(-1.22447 + 3.36125i) q^{51} +(-0.0146922 - 0.00996154i) q^{52} +(-6.54736 - 2.60871i) q^{53} +(-6.89492 + 2.59731i) q^{54} +(-0.620663 - 5.70690i) q^{55} +(-3.93760 - 1.82173i) q^{56} +(0.352413 + 0.173584i) q^{57} -2.60052i q^{58} +(3.37265 - 6.90110i) q^{59} +(0.0218342 + 0.0122660i) q^{60} +(2.05744 - 0.111551i) q^{61} +(-3.96251 + 8.56483i) q^{62} +(2.81232 + 3.65794i) q^{63} +(-7.54065 + 2.54074i) q^{64} +(-0.846835 + 2.12540i) q^{65} +(4.61390 + 9.23966i) q^{66} +(-15.0835 + 2.47281i) q^{67} +(-0.0166728 + 0.0141620i) q^{68} +(-7.05981 - 0.942269i) q^{69} +(0.640001 - 2.90755i) q^{70} +(2.35554 - 6.99100i) q^{71} +(8.35853 + 1.32352i) q^{72} +(4.63613 - 7.70531i) q^{73} +(-1.42637 + 13.1153i) q^{74} +(-1.58036 + 5.19744i) q^{75} +(0.00134812 + 0.00198832i) q^{76} +(4.69541 - 4.44773i) q^{77} +(0.100235 - 4.11483i) q^{78} +(-6.67513 + 3.08824i) q^{79} +(-2.83004 - 4.70357i) q^{80} +(-7.22385 - 5.36806i) q^{81} +(-0.784696 + 0.828394i) q^{82} +(4.39645 - 15.8346i) q^{83} +(0.00388532 + 0.0279465i) q^{84} +(2.24461 + 1.70631i) q^{85} +(11.2458 - 3.12237i) q^{86} +(2.67184 - 1.71809i) q^{87} +(0.642203 - 11.8447i) q^{88} +(0.138961 - 2.56299i) q^{89} +(0.346025 + 5.79679i) q^{90} +(-2.48368 + 0.689590i) q^{91} +(-0.0346730 - 0.0263577i) q^{92} +(-11.4177 + 1.58737i) q^{93} +(-1.82691 + 6.57995i) q^{94} +(0.212929 - 0.224787i) q^{95} +(0.0810605 + 0.0647950i) q^{96} +(-3.19963 - 5.31783i) q^{97} +(-5.96412 + 2.75929i) q^{98} +(-6.44480 + 10.8449i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{57}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0767664 + 1.41587i 0.0542821 + 1.00117i 0.891133 + 0.453743i \(0.149911\pi\)
−0.836851 + 0.547431i \(0.815606\pi\)
\(3\) −1.40399 + 1.01430i −0.810594 + 0.585608i
\(4\) −0.0105295 + 0.00114515i −0.00526475 + 0.000572576i
\(5\) 0.435891 + 1.29368i 0.194936 + 0.578551i 0.999891 0.0147862i \(-0.00470676\pi\)
−0.804954 + 0.593337i \(0.797810\pi\)
\(6\) −1.54390 1.91001i −0.630296 0.779758i
\(7\) −0.863119 + 1.27300i −0.326228 + 0.481151i −0.955069 0.296383i \(-0.904219\pi\)
0.628841 + 0.777534i \(0.283530\pi\)
\(8\) 0.456369 + 2.78373i 0.161351 + 0.984196i
\(9\) 0.942378 2.84814i 0.314126 0.949381i
\(10\) −1.79822 + 0.716478i −0.568648 + 0.226570i
\(11\) −4.10679 0.903973i −1.23824 0.272558i −0.452869 0.891577i \(-0.649599\pi\)
−0.785376 + 0.619019i \(0.787530\pi\)
\(12\) 0.0136218 0.0122879i 0.00393227 0.00354720i
\(13\) 1.27734 + 1.08498i 0.354270 + 0.300919i 0.806794 0.590833i \(-0.201201\pi\)
−0.452525 + 0.891752i \(0.649477\pi\)
\(14\) −1.86867 1.12434i −0.499424 0.300493i
\(15\) −1.92417 1.37419i −0.496818 0.354813i
\(16\) −3.92706 + 0.864411i −0.981765 + 0.216103i
\(17\) 1.70949 1.15906i 0.414612 0.281114i −0.335994 0.941864i \(-0.609072\pi\)
0.750606 + 0.660750i \(0.229762\pi\)
\(18\) 4.10496 + 1.11565i 0.967547 + 0.262960i
\(19\) −0.106239 0.200388i −0.0243729 0.0459722i 0.871027 0.491236i \(-0.163455\pi\)
−0.895399 + 0.445264i \(0.853110\pi\)
\(20\) −0.00607117 0.0131226i −0.00135755 0.00293431i
\(21\) −0.0794024 2.66275i −0.0173270 0.581060i
\(22\) 0.964648 5.88409i 0.205664 1.25449i
\(23\) 2.98538 + 2.82791i 0.622496 + 0.589659i 0.932542 0.361062i \(-0.117586\pi\)
−0.310046 + 0.950722i \(0.600344\pi\)
\(24\) −3.46428 3.44543i −0.707143 0.703295i
\(25\) 2.49686 1.89807i 0.499372 0.379613i
\(26\) −1.43814 + 1.89184i −0.282042 + 0.371020i
\(27\) 1.56579 + 4.95462i 0.301337 + 0.953518i
\(28\) 0.00763042 0.0143925i 0.00144201 0.00271993i
\(29\) −1.83130 0.0992904i −0.340065 0.0184378i −0.116684 0.993169i \(-0.537226\pi\)
−0.223381 + 0.974731i \(0.571709\pi\)
\(30\) 1.79796 2.82987i 0.328262 0.516662i
\(31\) 5.88013 + 3.11745i 1.05610 + 0.559910i 0.903593 0.428392i \(-0.140920\pi\)
0.152509 + 0.988302i \(0.451265\pi\)
\(32\) −0.0160288 0.0577305i −0.00283352 0.0102054i
\(33\) 6.68280 2.89636i 1.16333 0.504192i
\(34\) 1.77232 + 2.33145i 0.303950 + 0.399840i
\(35\) −2.02308 0.561707i −0.341964 0.0949458i
\(36\) −0.00666121 + 0.0310687i −0.00111020 + 0.00517811i
\(37\) 9.18142 + 1.50522i 1.50942 + 0.247456i 0.858942 0.512072i \(-0.171122\pi\)
0.650474 + 0.759528i \(0.274570\pi\)
\(38\) 0.275569 0.165804i 0.0447031 0.0268970i
\(39\) −2.89387 0.227694i −0.463390 0.0364603i
\(40\) −3.40232 + 1.80380i −0.537954 + 0.285205i
\(41\) 0.553401 + 0.584218i 0.0864267 + 0.0912395i 0.767774 0.640721i \(-0.221364\pi\)
−0.681347 + 0.731960i \(0.738606\pi\)
\(42\) 3.76402 0.316834i 0.580801 0.0488885i
\(43\) −1.76942 8.03857i −0.269834 1.22587i −0.895245 0.445574i \(-0.853000\pi\)
0.625411 0.780296i \(-0.284931\pi\)
\(44\) 0.0442776 + 0.00481548i 0.00667510 + 0.000725961i
\(45\) 4.09536 0.0223458i 0.610500 0.00333111i
\(46\) −3.77478 + 4.44402i −0.556561 + 0.655234i
\(47\) 4.56389 + 1.53775i 0.665712 + 0.224305i 0.631813 0.775121i \(-0.282311\pi\)
0.0338991 + 0.999425i \(0.489208\pi\)
\(48\) 4.63678 5.19686i 0.669262 0.750101i
\(49\) 1.71540 + 4.30533i 0.245057 + 0.615047i
\(50\) 2.87910 + 3.38953i 0.407166 + 0.479352i
\(51\) −1.22447 + 3.36125i −0.171460 + 0.470670i
\(52\) −0.0146922 0.00996154i −0.00203744 0.00138142i
\(53\) −6.54736 2.60871i −0.899349 0.358333i −0.125789 0.992057i \(-0.540146\pi\)
−0.773560 + 0.633724i \(0.781526\pi\)
\(54\) −6.89492 + 2.59731i −0.938280 + 0.353449i
\(55\) −0.620663 5.70690i −0.0836902 0.769519i
\(56\) −3.93760 1.82173i −0.526184 0.243439i
\(57\) 0.352413 + 0.173584i 0.0466782 + 0.0229918i
\(58\) 2.60052i 0.341465i
\(59\) 3.37265 6.90110i 0.439082 0.898447i
\(60\) 0.0218342 + 0.0122660i 0.00281878 + 0.00158354i
\(61\) 2.05744 0.111551i 0.263428 0.0142826i 0.0780480 0.996950i \(-0.475131\pi\)
0.185380 + 0.982667i \(0.440648\pi\)
\(62\) −3.96251 + 8.56483i −0.503240 + 1.08773i
\(63\) 2.81232 + 3.65794i 0.354319 + 0.460857i
\(64\) −7.54065 + 2.54074i −0.942582 + 0.317593i
\(65\) −0.846835 + 2.12540i −0.105037 + 0.263623i
\(66\) 4.61390 + 9.23966i 0.567932 + 1.13732i
\(67\) −15.0835 + 2.47281i −1.84274 + 0.302102i −0.979309 0.202369i \(-0.935136\pi\)
−0.863429 + 0.504470i \(0.831688\pi\)
\(68\) −0.0166728 + 0.0141620i −0.00202187 + 0.00171739i
\(69\) −7.05981 0.942269i −0.849901 0.113436i
\(70\) 0.640001 2.90755i 0.0764947 0.347519i
\(71\) 2.35554 6.99100i 0.279552 0.829679i −0.712254 0.701922i \(-0.752326\pi\)
0.991805 0.127758i \(-0.0407779\pi\)
\(72\) 8.35853 + 1.32352i 0.985062 + 0.155978i
\(73\) 4.63613 7.70531i 0.542618 0.901838i −0.457303 0.889311i \(-0.651185\pi\)
0.999922 0.0125275i \(-0.00398774\pi\)
\(74\) −1.42637 + 13.1153i −0.165813 + 1.52462i
\(75\) −1.58036 + 5.19744i −0.182484 + 0.600149i
\(76\) 0.00134812 + 0.00198832i 0.000154640 + 0.000228077i
\(77\) 4.69541 4.44773i 0.535092 0.506866i
\(78\) 0.100235 4.11483i 0.0113493 0.465913i
\(79\) −6.67513 + 3.08824i −0.751010 + 0.347454i −0.757769 0.652523i \(-0.773711\pi\)
0.00675869 + 0.999977i \(0.497849\pi\)
\(80\) −2.83004 4.70357i −0.316408 0.525875i
\(81\) −7.22385 5.36806i −0.802650 0.596451i
\(82\) −0.784696 + 0.828394i −0.0866552 + 0.0914808i
\(83\) 4.39645 15.8346i 0.482573 1.73807i −0.174893 0.984587i \(-0.555958\pi\)
0.657466 0.753484i \(-0.271628\pi\)
\(84\) 0.00388532 + 0.0279465i 0.000423923 + 0.00304921i
\(85\) 2.24461 + 1.70631i 0.243462 + 0.185075i
\(86\) 11.2458 3.12237i 1.21266 0.336694i
\(87\) 2.67184 1.71809i 0.286452 0.184199i
\(88\) 0.642203 11.8447i 0.0684591 1.26265i
\(89\) 0.138961 2.56299i 0.0147299 0.271676i −0.981886 0.189474i \(-0.939322\pi\)
0.996616 0.0822026i \(-0.0261955\pi\)
\(90\) 0.346025 + 5.79679i 0.0364742 + 0.611036i
\(91\) −2.48368 + 0.689590i −0.260360 + 0.0722886i
\(92\) −0.0346730 0.0263577i −0.00361491 0.00274798i
\(93\) −11.4177 + 1.58737i −1.18396 + 0.164602i
\(94\) −1.82691 + 6.57995i −0.188432 + 0.678670i
\(95\) 0.212929 0.224787i 0.0218461 0.0230626i
\(96\) 0.0810605 + 0.0647950i 0.00827321 + 0.00661312i
\(97\) −3.19963 5.31783i −0.324873 0.539944i 0.650779 0.759267i \(-0.274443\pi\)
−0.975652 + 0.219324i \(0.929615\pi\)
\(98\) −5.96412 + 2.75929i −0.602467 + 0.278731i
\(99\) −6.44480 + 10.8449i −0.647727 + 1.08995i
\(100\) −0.0241171 + 0.0228449i −0.00241171 + 0.00228449i
\(101\) −4.30191 6.34485i −0.428056 0.631336i 0.551101 0.834438i \(-0.314208\pi\)
−0.979157 + 0.203103i \(0.934898\pi\)
\(102\) −4.85311 1.47566i −0.480530 0.146112i
\(103\) −2.14713 + 19.7426i −0.211563 + 1.94529i 0.0998101 + 0.995007i \(0.468176\pi\)
−0.311374 + 0.950288i \(0.600789\pi\)
\(104\) −2.43735 + 4.05091i −0.239002 + 0.397224i
\(105\) 3.41013 1.26339i 0.332795 0.123294i
\(106\) 3.19098 9.47050i 0.309936 0.919856i
\(107\) −4.05568 + 18.4252i −0.392078 + 1.78123i 0.204704 + 0.978824i \(0.434377\pi\)
−0.596782 + 0.802404i \(0.703554\pi\)
\(108\) −0.0221608 0.0503766i −0.00213242 0.00484749i
\(109\) −4.52406 + 3.84277i −0.433326 + 0.368070i −0.837340 0.546682i \(-0.815891\pi\)
0.404014 + 0.914753i \(0.367615\pi\)
\(110\) 8.03261 1.31688i 0.765879 0.125560i
\(111\) −14.4174 + 7.19943i −1.36844 + 0.683340i
\(112\) 2.28912 5.74526i 0.216301 0.542876i
\(113\) 9.63187 3.24535i 0.906090 0.305297i 0.172596 0.984993i \(-0.444785\pi\)
0.733494 + 0.679696i \(0.237888\pi\)
\(114\) −0.218720 + 0.512298i −0.0204850 + 0.0479811i
\(115\) −2.35710 + 5.09479i −0.219801 + 0.475091i
\(116\) 0.0193964 0.00105164i 0.00180091 9.76425e-5i
\(117\) 4.29391 2.61558i 0.396972 0.241810i
\(118\) 10.0300 + 4.24547i 0.923336 + 0.390828i
\(119\) 3.17660i 0.291198i
\(120\) 2.94723 5.98350i 0.269044 0.546216i
\(121\) 6.06525 + 2.80608i 0.551386 + 0.255098i
\(122\) 0.315884 + 2.90451i 0.0285988 + 0.262962i
\(123\) −1.36954 0.258920i −0.123488 0.0233461i
\(124\) −0.0654847 0.0260915i −0.00588070 0.00234308i
\(125\) 9.19340 + 6.23328i 0.822283 + 0.557522i
\(126\) −4.96329 + 4.26269i −0.442165 + 0.379751i
\(127\) −3.92567 4.62166i −0.348347 0.410106i 0.559887 0.828569i \(-0.310845\pi\)
−0.908234 + 0.418463i \(0.862569\pi\)
\(128\) −4.22059 10.5929i −0.373051 0.936288i
\(129\) 10.6378 + 9.49134i 0.936606 + 0.835666i
\(130\) −3.07430 1.03585i −0.269634 0.0908503i
\(131\) 4.25152 5.00528i 0.371457 0.437313i −0.544395 0.838829i \(-0.683241\pi\)
0.915852 + 0.401516i \(0.131517\pi\)
\(132\) −0.0670497 + 0.0381500i −0.00583593 + 0.00332054i
\(133\) 0.346792 + 0.0377159i 0.0300707 + 0.00327038i
\(134\) −4.65909 21.1665i −0.402484 1.82850i
\(135\) −5.72718 + 4.18531i −0.492917 + 0.360214i
\(136\) 4.00667 + 4.22979i 0.343569 + 0.362702i
\(137\) −14.1330 + 7.49284i −1.20746 + 0.640156i −0.945720 0.324981i \(-0.894642\pi\)
−0.261742 + 0.965138i \(0.584297\pi\)
\(138\) 0.792177 10.0681i 0.0674346 0.857056i
\(139\) 0.477392 0.287237i 0.0404918 0.0243631i −0.495164 0.868800i \(-0.664892\pi\)
0.535656 + 0.844436i \(0.320064\pi\)
\(140\) 0.0219453 + 0.00359775i 0.00185472 + 0.000304065i
\(141\) −7.96741 + 2.47018i −0.670977 + 0.208027i
\(142\) 10.0792 + 2.79848i 0.845828 + 0.234843i
\(143\) −4.26496 5.61047i −0.356654 0.469171i
\(144\) −1.23881 + 11.9994i −0.103234 + 0.999953i
\(145\) −0.669799 2.41240i −0.0556238 0.200339i
\(146\) 11.2656 + 5.97267i 0.932351 + 0.494301i
\(147\) −6.77531 4.30471i −0.558818 0.355046i
\(148\) −0.0983994 0.00533506i −0.00808838 0.000438539i
\(149\) 6.39539 12.0630i 0.523931 0.988238i −0.470455 0.882424i \(-0.655910\pi\)
0.994386 0.105814i \(-0.0337449\pi\)
\(150\) −7.48024 1.83860i −0.610759 0.150121i
\(151\) 11.8943 15.6467i 0.967944 1.27331i 0.00602220 0.999982i \(-0.498083\pi\)
0.961921 0.273326i \(-0.0881238\pi\)
\(152\) 0.509342 0.387191i 0.0413131 0.0314054i
\(153\) −1.69019 5.96115i −0.136644 0.481930i
\(154\) 6.65787 + 6.30667i 0.536507 + 0.508206i
\(155\) −1.46988 + 8.96586i −0.118063 + 0.720155i
\(156\) 0.0307317 0.000916410i 0.00246050 7.33715e-5i
\(157\) 4.86979 + 10.5259i 0.388652 + 0.840057i 0.998856 + 0.0478133i \(0.0152253\pi\)
−0.610204 + 0.792244i \(0.708913\pi\)
\(158\) −4.88499 9.21406i −0.388629 0.733032i
\(159\) 11.8384 2.97841i 0.938850 0.236203i
\(160\) 0.0676979 0.0459003i 0.00535199 0.00362874i
\(161\) −6.17668 + 1.35959i −0.486791 + 0.107151i
\(162\) 7.04594 10.6401i 0.553582 0.835968i
\(163\) −2.36985 1.42589i −0.185621 0.111684i 0.419710 0.907658i \(-0.362132\pi\)
−0.605331 + 0.795974i \(0.706959\pi\)
\(164\) −0.00649605 0.00551779i −0.000507256 0.000430867i
\(165\) 6.65994 + 7.38290i 0.518475 + 0.574758i
\(166\) 22.7573 + 5.00925i 1.76631 + 0.388794i
\(167\) 12.5253 4.99052i 0.969234 0.386178i 0.168834 0.985644i \(-0.446000\pi\)
0.800400 + 0.599466i \(0.204620\pi\)
\(168\) 7.37613 1.43623i 0.569081 0.110808i
\(169\) −1.64876 10.0570i −0.126827 0.773613i
\(170\) −2.24360 + 3.30907i −0.172076 + 0.253794i
\(171\) −0.670851 + 0.113743i −0.0513013 + 0.00869812i
\(172\) 0.0278365 + 0.0826158i 0.00212251 + 0.00629939i
\(173\) −8.97673 + 0.976278i −0.682488 + 0.0742251i −0.442794 0.896623i \(-0.646013\pi\)
−0.239694 + 0.970848i \(0.577047\pi\)
\(174\) 2.63771 + 3.65110i 0.199964 + 0.276789i
\(175\) 0.261158 + 4.81677i 0.0197417 + 0.364114i
\(176\) 16.9090 1.27457
\(177\) 2.26464 + 13.1100i 0.170221 + 0.985406i
\(178\) 3.63954 0.272795
\(179\) −0.0890232 1.64194i −0.00665391 0.122724i −0.999973 0.00732545i \(-0.997668\pi\)
0.993319 0.115399i \(-0.0368145\pi\)
\(180\) −0.0430964 + 0.00492509i −0.00321222 + 0.000367095i
\(181\) 0.271232 0.0294983i 0.0201605 0.00219259i −0.0980332 0.995183i \(-0.531255\pi\)
0.118194 + 0.992991i \(0.462290\pi\)
\(182\) −1.16704 3.46364i −0.0865064 0.256742i
\(183\) −2.77547 + 2.24348i −0.205169 + 0.165843i
\(184\) −6.50968 + 9.60107i −0.479900 + 0.707800i
\(185\) 2.05483 + 12.5339i 0.151074 + 0.921512i
\(186\) −3.12401 16.0441i −0.229063 1.17641i
\(187\) −8.06828 + 3.21470i −0.590011 + 0.235082i
\(188\) −0.0498164 0.0109654i −0.00363324 0.000799736i
\(189\) −7.65872 2.28317i −0.557090 0.166076i
\(190\) 0.334615 + 0.284225i 0.0242755 + 0.0206198i
\(191\) −15.7307 9.46485i −1.13823 0.684852i −0.183708 0.982981i \(-0.558810\pi\)
−0.954526 + 0.298129i \(0.903638\pi\)
\(192\) 8.00992 11.2157i 0.578066 0.809422i
\(193\) 17.4585 3.84290i 1.25669 0.276618i 0.463774 0.885953i \(-0.346495\pi\)
0.792912 + 0.609336i \(0.208564\pi\)
\(194\) 7.28375 4.93851i 0.522943 0.354564i
\(195\) −0.966848 3.84298i −0.0692374 0.275202i
\(196\) −0.0229925 0.0433685i −0.00164232 0.00309775i
\(197\) −1.56846 3.39017i −0.111748 0.241540i 0.843630 0.536925i \(-0.180414\pi\)
−0.955378 + 0.295385i \(0.904552\pi\)
\(198\) −15.8497 8.29250i −1.12639 0.589322i
\(199\) −2.44351 + 14.9048i −0.173216 + 1.05657i 0.746904 + 0.664932i \(0.231540\pi\)
−0.920119 + 0.391638i \(0.871909\pi\)
\(200\) 6.42319 + 6.08436i 0.454188 + 0.430230i
\(201\) 18.6689 18.7710i 1.31680 1.32400i
\(202\) 8.65326 6.57804i 0.608841 0.462829i
\(203\) 1.70703 2.24556i 0.119810 0.157607i
\(204\) 0.00904387 0.0367945i 0.000633197 0.00257613i
\(205\) −0.514568 + 0.970578i −0.0359390 + 0.0677881i
\(206\) −28.1178 1.52450i −1.95906 0.106217i
\(207\) 10.8676 5.83785i 0.755354 0.405758i
\(208\) −5.95405 3.15664i −0.412839 0.218873i
\(209\) 0.255156 + 0.918989i 0.0176495 + 0.0635678i
\(210\) 2.05059 + 4.73133i 0.141504 + 0.326493i
\(211\) −15.4245 20.2905i −1.06186 1.39686i −0.912980 0.408004i \(-0.866225\pi\)
−0.148884 0.988855i \(-0.547568\pi\)
\(212\) 0.0719277 + 0.0199706i 0.00494002 + 0.00137159i
\(213\) 3.78384 + 12.2045i 0.259264 + 0.836241i
\(214\) −26.3990 4.32790i −1.80460 0.295849i
\(215\) 9.62805 5.79300i 0.656627 0.395080i
\(216\) −13.0777 + 6.61987i −0.889828 + 0.450425i
\(217\) −9.04377 + 4.79470i −0.613931 + 0.325486i
\(218\) −5.78817 6.11050i −0.392024 0.413855i
\(219\) 1.30644 + 15.5206i 0.0882808 + 1.04879i
\(220\) 0.0130705 + 0.0593800i 0.000881215 + 0.00400340i
\(221\) 3.44116 + 0.374248i 0.231477 + 0.0251747i
\(222\) −11.3003 19.8605i −0.758424 1.33295i
\(223\) 10.5009 12.3626i 0.703192 0.827861i −0.288367 0.957520i \(-0.593112\pi\)
0.991559 + 0.129659i \(0.0413881\pi\)
\(224\) 0.0873260 + 0.0294235i 0.00583471 + 0.00196594i
\(225\) −3.05297 8.90012i −0.203532 0.593341i
\(226\) 5.33442 + 13.3884i 0.354840 + 0.890581i
\(227\) 18.9413 + 22.2995i 1.25718 + 1.48007i 0.810912 + 0.585168i \(0.198971\pi\)
0.446268 + 0.894899i \(0.352753\pi\)
\(228\) −0.00390951 0.00142419i −0.000258914 9.43192e-5i
\(229\) −21.0383 14.2643i −1.39025 0.942613i −0.999758 0.0220063i \(-0.992995\pi\)
−0.390492 0.920606i \(-0.627695\pi\)
\(230\) −7.39452 2.94625i −0.487580 0.194270i
\(231\) −2.08097 + 11.0071i −0.136918 + 0.724217i
\(232\) −0.559353 5.14316i −0.0367233 0.337665i
\(233\) 0.714192 + 0.330421i 0.0467883 + 0.0216466i 0.443144 0.896451i \(-0.353863\pi\)
−0.396355 + 0.918097i \(0.629725\pi\)
\(234\) 4.03296 + 5.87885i 0.263643 + 0.384312i
\(235\) 6.57451i 0.428873i
\(236\) −0.0276095 + 0.0765273i −0.00179722 + 0.00498150i
\(237\) 6.23940 11.1065i 0.405293 0.721442i
\(238\) −4.49766 + 0.243856i −0.291540 + 0.0158068i
\(239\) −4.61346 + 9.97183i −0.298420 + 0.645024i −0.997549 0.0699715i \(-0.977709\pi\)
0.699129 + 0.714995i \(0.253571\pi\)
\(240\) 8.74419 + 3.73324i 0.564435 + 0.240980i
\(241\) −9.93445 + 3.34731i −0.639934 + 0.215619i −0.620518 0.784192i \(-0.713077\pi\)
−0.0194167 + 0.999811i \(0.506181\pi\)
\(242\) −3.50745 + 8.80304i −0.225467 + 0.565881i
\(243\) 15.5870 + 0.209532i 0.999910 + 0.0134415i
\(244\) −0.0215360 + 0.00353065i −0.00137870 + 0.000226027i
\(245\) −4.82198 + 4.09583i −0.308065 + 0.261673i
\(246\) 0.261464 1.95898i 0.0166703 0.124900i
\(247\) 0.0817140 0.371230i 0.00519934 0.0236208i
\(248\) −5.99461 + 17.7914i −0.380658 + 1.12975i
\(249\) 9.88849 + 26.6909i 0.626658 + 1.69147i
\(250\) −8.11979 + 13.4952i −0.513541 + 0.853511i
\(251\) −1.24147 + 11.4152i −0.0783611 + 0.720519i 0.887385 + 0.461029i \(0.152520\pi\)
−0.965746 + 0.259489i \(0.916446\pi\)
\(252\) −0.0338012 0.0352957i −0.00212927 0.00222342i
\(253\) −9.70400 14.3123i −0.610085 0.899809i
\(254\) 6.24233 5.91305i 0.391678 0.371017i
\(255\) −4.88212 0.118925i −0.305730 0.00744739i
\(256\) 0.230697 0.106732i 0.0144186 0.00667075i
\(257\) 2.81365 + 4.67632i 0.175511 + 0.291701i 0.932108 0.362180i \(-0.117967\pi\)
−0.756598 + 0.653881i \(0.773140\pi\)
\(258\) −12.6219 + 15.7904i −0.785806 + 0.983067i
\(259\) −9.84081 + 10.3888i −0.611478 + 0.645529i
\(260\) 0.00648285 0.0233491i 0.000402049 0.00144805i
\(261\) −2.00857 + 5.12225i −0.124328 + 0.317059i
\(262\) 7.41321 + 5.63538i 0.457990 + 0.348155i
\(263\) −8.94771 + 2.48432i −0.551740 + 0.153190i −0.532199 0.846619i \(-0.678634\pi\)
−0.0195406 + 0.999809i \(0.506220\pi\)
\(264\) 11.1125 + 17.2813i 0.683927 + 1.06359i
\(265\) 0.520892 9.60729i 0.0319982 0.590171i
\(266\) −0.0267790 + 0.493909i −0.00164192 + 0.0302835i
\(267\) 2.40455 + 3.73936i 0.147156 + 0.228845i
\(268\) 0.155989 0.0433103i 0.00952857 0.00264560i
\(269\) 9.63426 + 7.32377i 0.587411 + 0.446538i 0.856188 0.516664i \(-0.172826\pi\)
−0.268777 + 0.963202i \(0.586619\pi\)
\(270\) −6.36552 7.78767i −0.387393 0.473942i
\(271\) 7.46734 26.8949i 0.453608 1.63375i −0.284218 0.958760i \(-0.591734\pi\)
0.737827 0.674990i \(-0.235852\pi\)
\(272\) −5.71136 + 6.02941i −0.346302 + 0.365587i
\(273\) 2.78761 3.48738i 0.168714 0.211066i
\(274\) −11.6939 19.4353i −0.706451 1.17413i
\(275\) −11.9699 + 5.53786i −0.721812 + 0.333946i
\(276\) 0.0754152 + 0.00183707i 0.00453946 + 0.000110578i
\(277\) −15.3957 + 14.5836i −0.925041 + 0.876245i −0.992595 0.121470i \(-0.961239\pi\)
0.0675542 + 0.997716i \(0.478480\pi\)
\(278\) 0.443339 + 0.653876i 0.0265897 + 0.0392169i
\(279\) 14.4202 13.8096i 0.863317 0.826761i
\(280\) 0.640365 5.88806i 0.0382691 0.351879i
\(281\) −5.54443 + 9.21491i −0.330753 + 0.549715i −0.976954 0.213452i \(-0.931529\pi\)
0.646201 + 0.763167i \(0.276357\pi\)
\(282\) −4.10909 11.0912i −0.244693 0.660473i
\(283\) −2.52813 + 7.50323i −0.150282 + 0.446021i −0.996180 0.0873238i \(-0.972169\pi\)
0.845898 + 0.533345i \(0.179065\pi\)
\(284\) −0.0167969 + 0.0763092i −0.000996714 + 0.00452812i
\(285\) −0.0709488 + 0.531573i −0.00420264 + 0.0314877i
\(286\) 7.61630 6.46935i 0.450362 0.382541i
\(287\) −1.22136 + 0.200232i −0.0720948 + 0.0118193i
\(288\) −0.179530 0.00875166i −0.0105789 0.000515697i
\(289\) −4.71342 + 11.8298i −0.277260 + 0.695870i
\(290\) 3.36423 1.13354i 0.197555 0.0665639i
\(291\) 9.88614 + 4.22078i 0.579536 + 0.247427i
\(292\) −0.0399924 + 0.0864421i −0.00234038 + 0.00505864i
\(293\) −2.52197 + 0.136737i −0.147335 + 0.00798827i −0.127659 0.991818i \(-0.540746\pi\)
−0.0196761 + 0.999806i \(0.506264\pi\)
\(294\) 5.57480 9.92345i 0.325129 0.578747i
\(295\) 10.3979 + 1.35500i 0.605390 + 0.0788909i
\(296\) 26.2455i 1.52549i
\(297\) −1.95153 21.7630i −0.113239 1.26282i
\(298\) 17.5706 + 8.12903i 1.01784 + 0.470902i
\(299\) 0.745121 + 6.85127i 0.0430914 + 0.396219i
\(300\) 0.0106885 0.0565362i 0.000617101 0.00326412i
\(301\) 11.7604 + 4.68575i 0.677856 + 0.270082i
\(302\) 23.0668 + 15.6397i 1.32734 + 0.899962i
\(303\) 12.4754 + 4.54466i 0.716695 + 0.261084i
\(304\) 0.590425 + 0.695102i 0.0338632 + 0.0398668i
\(305\) 1.04113 + 2.61304i 0.0596149 + 0.149622i
\(306\) 8.31049 2.85071i 0.475079 0.162965i
\(307\) −12.3454 4.15965i −0.704589 0.237404i −0.0558773 0.998438i \(-0.517796\pi\)
−0.648712 + 0.761034i \(0.724692\pi\)
\(308\) −0.0443470 + 0.0522093i −0.00252690 + 0.00297490i
\(309\) −17.0104 29.8962i −0.967688 1.70074i
\(310\) −12.8074 1.39288i −0.727409 0.0791105i
\(311\) −5.57354 25.3209i −0.316047 1.43581i −0.820139 0.572165i \(-0.806104\pi\)
0.504092 0.863650i \(-0.331827\pi\)
\(312\) −0.686832 8.15965i −0.0388842 0.461949i
\(313\) 8.46202 + 8.93325i 0.478302 + 0.504937i 0.919834 0.392309i \(-0.128323\pi\)
−0.441532 + 0.897245i \(0.645565\pi\)
\(314\) −14.5295 + 7.70305i −0.819947 + 0.434708i
\(315\) −3.50633 + 5.23270i −0.197559 + 0.294829i
\(316\) 0.0667492 0.0401617i 0.00375494 0.00225927i
\(317\) −13.1913 2.16260i −0.740897 0.121464i −0.220498 0.975387i \(-0.570768\pi\)
−0.520398 + 0.853924i \(0.674217\pi\)
\(318\) 5.12585 + 16.5331i 0.287443 + 0.927131i
\(319\) 7.43103 + 2.06321i 0.416058 + 0.115518i
\(320\) −6.57381 8.64769i −0.367487 0.483421i
\(321\) −12.9946 29.9824i −0.725285 1.67346i
\(322\) −2.39917 8.64103i −0.133700 0.481546i
\(323\) −0.413877 0.219424i −0.0230287 0.0122091i
\(324\) 0.0822107 + 0.0482505i 0.00456726 + 0.00268058i
\(325\) 5.24870 + 0.284576i 0.291145 + 0.0157854i
\(326\) 1.83695 3.46486i 0.101739 0.191901i
\(327\) 2.45400 9.98397i 0.135707 0.552115i
\(328\) −1.37375 + 1.80714i −0.0758526 + 0.0997824i
\(329\) −5.89675 + 4.48259i −0.325098 + 0.247133i
\(330\) −9.94199 + 9.99639i −0.547289 + 0.550283i
\(331\) 16.3883 + 15.5238i 0.900782 + 0.853266i 0.989756 0.142768i \(-0.0456002\pi\)
−0.0889742 + 0.996034i \(0.528359\pi\)
\(332\) −0.0281594 + 0.171765i −0.00154545 + 0.00942682i
\(333\) 12.9395 24.7315i 0.709077 1.35528i
\(334\) 8.02747 + 17.3511i 0.439244 + 0.949410i
\(335\) −9.77377 18.4353i −0.533998 1.00723i
\(336\) 2.61353 + 10.3881i 0.142580 + 0.566720i
\(337\) −8.15621 + 5.53004i −0.444297 + 0.301241i −0.762745 0.646700i \(-0.776149\pi\)
0.318448 + 0.947940i \(0.396838\pi\)
\(338\) 14.1128 3.10647i 0.767637 0.168970i
\(339\) −10.2313 + 14.3261i −0.555687 + 0.778086i
\(340\) −0.0255885 0.0153961i −0.00138773 0.000834972i
\(341\) −21.3304 18.1182i −1.15510 0.981154i
\(342\) −0.212544 0.941109i −0.0114931 0.0508894i
\(343\) −17.4758 3.84670i −0.943602 0.207702i
\(344\) 21.5697 8.59414i 1.16296 0.463365i
\(345\) −1.85831 9.54385i −0.100048 0.513823i
\(346\) −2.07140 12.6350i −0.111359 0.679260i
\(347\) 17.6043 25.9644i 0.945047 1.39384i 0.0260130 0.999662i \(-0.491719\pi\)
0.919034 0.394178i \(-0.128971\pi\)
\(348\) −0.0261657 + 0.0211503i −0.00140263 + 0.00113378i
\(349\) 0.0370093 + 0.109840i 0.00198106 + 0.00587958i 0.948639 0.316360i \(-0.102461\pi\)
−0.946658 + 0.322240i \(0.895564\pi\)
\(350\) −6.79989 + 0.739533i −0.363470 + 0.0395297i
\(351\) −3.37562 + 8.02758i −0.180177 + 0.428480i
\(352\) 0.0136401 + 0.251577i 0.000727020 + 0.0134091i
\(353\) 8.01172 0.426421 0.213210 0.977006i \(-0.431608\pi\)
0.213210 + 0.977006i \(0.431608\pi\)
\(354\) −18.3882 + 4.21285i −0.977323 + 0.223911i
\(355\) 10.0709 0.534506
\(356\) 0.00147182 + 0.0271461i 7.80063e−5 + 0.00143874i
\(357\) −3.22203 4.45991i −0.170528 0.236044i
\(358\) 2.31794 0.252091i 0.122507 0.0133234i
\(359\) 1.78826 + 5.30735i 0.0943805 + 0.280111i 0.984437 0.175739i \(-0.0562316\pi\)
−0.890056 + 0.455851i \(0.849335\pi\)
\(360\) 1.93120 + 11.3902i 0.101783 + 0.600314i
\(361\) 10.6337 15.6835i 0.559668 0.825448i
\(362\) 0.0625874 + 0.381766i 0.00328952 + 0.0200652i
\(363\) −11.3618 + 2.21229i −0.596338 + 0.116115i
\(364\) 0.0253622 0.0101052i 0.00132934 0.000529657i
\(365\) 11.9890 + 2.63899i 0.627535 + 0.138131i
\(366\) −3.38955 3.75750i −0.177175 0.196408i
\(367\) 7.41754 + 6.30052i 0.387193 + 0.328884i 0.819749 0.572722i \(-0.194113\pi\)
−0.432557 + 0.901607i \(0.642389\pi\)
\(368\) −14.1683 8.52476i −0.738572 0.444384i
\(369\) 2.18545 1.02561i 0.113770 0.0533911i
\(370\) −17.5887 + 3.87157i −0.914393 + 0.201273i
\(371\) 8.97204 6.08320i 0.465805 0.315824i
\(372\) 0.118405 0.0297891i 0.00613899 0.00154449i
\(373\) 6.21553 + 11.7237i 0.321828 + 0.607031i 0.990656 0.136386i \(-0.0435486\pi\)
−0.668828 + 0.743417i \(0.733204\pi\)
\(374\) −5.17098 11.1769i −0.267385 0.577943i
\(375\) −19.2299 + 0.573429i −0.993027 + 0.0296117i
\(376\) −2.19787 + 13.4064i −0.113347 + 0.691383i
\(377\) −2.23146 2.11375i −0.114926 0.108864i
\(378\) 2.64475 11.0191i 0.136031 0.566759i
\(379\) 16.0557 12.2052i 0.824725 0.626940i −0.105298 0.994441i \(-0.533580\pi\)
0.930023 + 0.367501i \(0.119787\pi\)
\(380\) −0.00198462 + 0.00261072i −0.000101809 + 0.000133927i
\(381\) 10.1994 + 2.50694i 0.522530 + 0.128435i
\(382\) 12.1934 22.9993i 0.623871 1.17674i
\(383\) 23.8407 + 1.29260i 1.21820 + 0.0660489i 0.652001 0.758219i \(-0.273930\pi\)
0.566201 + 0.824267i \(0.308413\pi\)
\(384\) 16.6701 + 10.5914i 0.850691 + 0.540488i
\(385\) 7.80062 + 4.13563i 0.397556 + 0.210771i
\(386\) 6.78128 + 24.4240i 0.345158 + 1.24315i
\(387\) −24.5625 2.53580i −1.24858 0.128902i
\(388\) 0.0397802 + 0.0523300i 0.00201953 + 0.00265665i
\(389\) −2.27244 0.630940i −0.115217 0.0319900i 0.209441 0.977821i \(-0.432836\pi\)
−0.324658 + 0.945831i \(0.605249\pi\)
\(390\) 5.36696 1.66395i 0.271767 0.0842572i
\(391\) 8.38121 + 1.37403i 0.423856 + 0.0694877i
\(392\) −11.2020 + 6.74002i −0.565787 + 0.340423i
\(393\) −0.892226 + 11.3397i −0.0450069 + 0.572012i
\(394\) 4.67965 2.48099i 0.235758 0.124991i
\(395\) −6.90482 7.28933i −0.347419 0.366766i
\(396\) 0.0554415 0.121571i 0.00278604 0.00610917i
\(397\) 2.19416 + 9.96818i 0.110122 + 0.500289i 0.999103 + 0.0423449i \(0.0134828\pi\)
−0.888981 + 0.457944i \(0.848586\pi\)
\(398\) −21.2908 2.31552i −1.06721 0.116066i
\(399\) −0.525148 + 0.298799i −0.0262903 + 0.0149587i
\(400\) −8.16462 + 9.61213i −0.408231 + 0.480607i
\(401\) 28.3025 + 9.53623i 1.41336 + 0.476217i 0.919419 0.393278i \(-0.128659\pi\)
0.493941 + 0.869495i \(0.335556\pi\)
\(402\) 28.0105 + 24.9918i 1.39704 + 1.24648i
\(403\) 4.12854 + 10.3618i 0.205657 + 0.516160i
\(404\) 0.0525628 + 0.0618817i 0.00261510 + 0.00307873i
\(405\) 3.79573 11.6852i 0.188611 0.580643i
\(406\) 3.31047 + 2.24455i 0.164296 + 0.111395i
\(407\) −36.3455 14.4814i −1.80158 0.717815i
\(408\) −9.91563 1.87461i −0.490897 0.0928070i
\(409\) −2.98200 27.4190i −0.147450 1.35578i −0.800893 0.598808i \(-0.795641\pi\)
0.653443 0.756976i \(-0.273324\pi\)
\(410\) −1.41372 0.654055i −0.0698185 0.0323015i
\(411\) 12.2426 24.8550i 0.603882 1.22601i
\(412\) 0.210338i 0.0103626i
\(413\) 5.87414 + 10.2499i 0.289048 + 0.504363i
\(414\) 9.09993 + 14.9391i 0.447237 + 0.734215i
\(415\) 22.4012 1.21456i 1.09963 0.0596204i
\(416\) 0.0421623 0.0911322i 0.00206718 0.00446813i
\(417\) −0.378908 + 0.887498i −0.0185552 + 0.0434610i
\(418\) −1.28159 + 0.431816i −0.0626844 + 0.0211208i
\(419\) −1.75925 + 4.41539i −0.0859451 + 0.215706i −0.965667 0.259782i \(-0.916349\pi\)
0.879722 + 0.475488i \(0.157729\pi\)
\(420\) −0.0344602 + 0.0172080i −0.00168149 + 0.000839663i
\(421\) 20.6310 3.38228i 1.00549 0.164842i 0.363534 0.931581i \(-0.381570\pi\)
0.641959 + 0.766739i \(0.278122\pi\)
\(422\) 27.5448 23.3967i 1.34086 1.13894i
\(423\) 8.68066 11.5495i 0.422068 0.561555i
\(424\) 4.27392 19.4166i 0.207560 0.942953i
\(425\) 2.06838 6.13874i 0.100331 0.297773i
\(426\) −16.9896 + 6.29433i −0.823149 + 0.304961i
\(427\) −1.63381 + 2.71541i −0.0790655 + 0.131408i
\(428\) 0.0216047 0.198652i 0.00104430 0.00960221i
\(429\) 11.6787 + 3.55107i 0.563852 + 0.171447i
\(430\) 8.94127 + 13.1874i 0.431186 + 0.635952i
\(431\) 9.26441 8.77571i 0.446251 0.422711i −0.431290 0.902213i \(-0.641941\pi\)
0.877541 + 0.479502i \(0.159183\pi\)
\(432\) −10.4318 18.1036i −0.501900 0.871011i
\(433\) −23.5756 + 10.9072i −1.13297 + 0.524168i −0.894538 0.446992i \(-0.852495\pi\)
−0.238431 + 0.971159i \(0.576633\pi\)
\(434\) −7.48295 12.4368i −0.359193 0.596984i
\(435\) 3.38729 + 2.70760i 0.162408 + 0.129820i
\(436\) 0.0432355 0.0456431i 0.00207060 0.00218591i
\(437\) 0.249514 0.898670i 0.0119359 0.0429892i
\(438\) −21.8750 + 3.04121i −1.04523 + 0.145315i
\(439\) 8.60885 + 6.54428i 0.410878 + 0.312341i 0.790116 0.612958i \(-0.210021\pi\)
−0.379237 + 0.925299i \(0.623814\pi\)
\(440\) 15.6032 4.33221i 0.743854 0.206530i
\(441\) 13.8788 0.828457i 0.660893 0.0394503i
\(442\) −0.265723 + 4.90097i −0.0126392 + 0.233115i
\(443\) −0.144605 + 2.66708i −0.00687039 + 0.126717i 0.993086 + 0.117388i \(0.0374522\pi\)
−0.999956 + 0.00932862i \(0.997031\pi\)
\(444\) 0.143563 0.0923165i 0.00681321 0.00438115i
\(445\) 3.37626 0.937413i 0.160050 0.0444377i
\(446\) 18.3100 + 13.9189i 0.867004 + 0.659079i
\(447\) 3.25646 + 23.4232i 0.154025 + 1.10788i
\(448\) 3.27410 11.7922i 0.154687 0.557131i
\(449\) −22.8592 + 24.1321i −1.07879 + 1.13887i −0.0890442 + 0.996028i \(0.528381\pi\)
−0.989746 + 0.142837i \(0.954377\pi\)
\(450\) 12.3671 5.00586i 0.582990 0.235978i
\(451\) −1.74458 2.89952i −0.0821492 0.136533i
\(452\) −0.0977022 + 0.0452019i −0.00459553 + 0.00212612i
\(453\) −0.829002 + 34.0322i −0.0389499 + 1.59897i
\(454\) −30.1192 + 28.5304i −1.41356 + 1.33900i
\(455\) −1.97472 2.91249i −0.0925763 0.136540i
\(456\) −0.322381 + 1.06024i −0.0150969 + 0.0496503i
\(457\) −0.765223 + 7.03611i −0.0357956 + 0.329135i 0.962524 + 0.271195i \(0.0874188\pi\)
−0.998320 + 0.0579403i \(0.981547\pi\)
\(458\) 18.5814 30.8826i 0.868254 1.44305i
\(459\) 8.41943 + 6.65503i 0.392985 + 0.310630i
\(460\) 0.0189848 0.0563448i 0.000885169 0.00262709i
\(461\) −4.97783 + 22.6145i −0.231841 + 1.05326i 0.706543 + 0.707670i \(0.250254\pi\)
−0.938384 + 0.345594i \(0.887677\pi\)
\(462\) −15.7445 2.10141i −0.732499 0.0977663i
\(463\) 9.73541 8.26934i 0.452443 0.384309i −0.391990 0.919969i \(-0.628213\pi\)
0.844433 + 0.535661i \(0.179937\pi\)
\(464\) 7.27747 1.19308i 0.337848 0.0553874i
\(465\) −7.03041 14.0789i −0.326027 0.652893i
\(466\) −0.413008 + 1.03657i −0.0191322 + 0.0480182i
\(467\) −29.6505 + 9.99042i −1.37206 + 0.462302i −0.906310 0.422614i \(-0.861113\pi\)
−0.465752 + 0.884915i \(0.654216\pi\)
\(468\) −0.0422175 + 0.0324579i −0.00195150 + 0.00150037i
\(469\) 9.87092 21.3356i 0.455797 0.985189i
\(470\) −9.30867 + 0.504701i −0.429377 + 0.0232801i
\(471\) −17.5136 9.83880i −0.806983 0.453348i
\(472\) 20.7500 + 6.23909i 0.955094 + 0.287177i
\(473\) 34.6122i 1.59147i
\(474\) 16.2043 + 7.98160i 0.744290 + 0.366607i
\(475\) −0.645614 0.298693i −0.0296228 0.0137050i
\(476\) −0.00363769 0.0334480i −0.000166733 0.00153309i
\(477\) −13.6001 + 16.1894i −0.622704 + 0.741263i
\(478\) −14.4730 5.76657i −0.661980 0.263757i
\(479\) 12.1854 + 8.26193i 0.556767 + 0.377497i 0.806876 0.590720i \(-0.201156\pi\)
−0.250110 + 0.968218i \(0.580467\pi\)
\(480\) −0.0484904 + 0.133110i −0.00221327 + 0.00607561i
\(481\) 10.0946 + 11.8843i 0.460276 + 0.541879i
\(482\) −5.50200 13.8090i −0.250609 0.628981i
\(483\) 7.29296 8.17388i 0.331841 0.371924i
\(484\) −0.0670774 0.0226010i −0.00304897 0.00102732i
\(485\) 5.48487 6.45729i 0.249055 0.293210i
\(486\) 0.899891 + 22.0854i 0.0408199 + 1.00181i
\(487\) −3.35423 0.364795i −0.151995 0.0165304i 0.0318052 0.999494i \(-0.489874\pi\)
−0.183800 + 0.982964i \(0.558840\pi\)
\(488\) 1.24948 + 5.67643i 0.0565612 + 0.256960i
\(489\) 4.77352 0.401808i 0.215866 0.0181704i
\(490\) −6.16935 6.51290i −0.278703 0.294223i
\(491\) −7.93449 + 4.20660i −0.358079 + 0.189841i −0.637729 0.770261i \(-0.720126\pi\)
0.279651 + 0.960102i \(0.409781\pi\)
\(492\) 0.0147171 + 0.00115797i 0.000663498 + 5.22051e-5i
\(493\) −3.24568 + 1.95286i −0.146178 + 0.0879524i
\(494\) 0.531888 + 0.0871986i 0.0239308 + 0.00392325i
\(495\) −16.8390 3.61032i −0.756856 0.162272i
\(496\) −25.7864 7.15955i −1.15784 0.321473i
\(497\) 6.86647 + 9.03268i 0.308003 + 0.405171i
\(498\) −37.0319 + 16.0498i −1.65944 + 0.719210i
\(499\) 3.59992 + 12.9657i 0.161155 + 0.580426i 0.999384 + 0.0351079i \(0.0111775\pi\)
−0.838229 + 0.545318i \(0.816409\pi\)
\(500\) −0.103940 0.0551054i −0.00464833 0.00246439i
\(501\) −12.5235 + 19.7111i −0.559507 + 0.880625i
\(502\) −16.2577 0.881469i −0.725618 0.0393419i
\(503\) 17.2041 32.4504i 0.767092 1.44689i −0.123624 0.992329i \(-0.539452\pi\)
0.890716 0.454560i \(-0.150204\pi\)
\(504\) −8.89925 + 9.49809i −0.396404 + 0.423079i
\(505\) 6.33303 8.33096i 0.281816 0.370723i
\(506\) 19.5195 14.8384i 0.867748 0.659645i
\(507\) 12.5157 + 12.4476i 0.555840 + 0.552815i
\(508\) 0.0466278 + 0.0441682i 0.00206878 + 0.00195965i
\(509\) −0.825308 + 5.03416i −0.0365812 + 0.223135i −0.998790 0.0491772i \(-0.984340\pi\)
0.962209 + 0.272312i \(0.0877884\pi\)
\(510\) −0.206400 6.92159i −0.00913953 0.306493i
\(511\) 5.80736 + 12.5524i 0.256903 + 0.555286i
\(512\) −10.5135 19.8305i −0.464634 0.876392i
\(513\) 0.826499 0.840140i 0.0364908 0.0370931i
\(514\) −6.40509 + 4.34276i −0.282516 + 0.191551i
\(515\) −26.4765 + 5.82791i −1.16669 + 0.256808i
\(516\) −0.122880 0.0877571i −0.00540947 0.00386329i
\(517\) −17.3529 10.4409i −0.763179 0.459189i
\(518\) −15.4647 13.1358i −0.679480 0.577155i
\(519\) 11.6130 10.4758i 0.509754 0.459837i
\(520\) −6.30299 1.38739i −0.276405 0.0608412i
\(521\) 9.59734 3.82393i 0.420467 0.167529i −0.150302 0.988640i \(-0.548025\pi\)
0.570769 + 0.821111i \(0.306645\pi\)
\(522\) −7.40665 2.45067i −0.324180 0.107263i
\(523\) −2.43641 14.8615i −0.106537 0.649846i −0.985069 0.172162i \(-0.944925\pi\)
0.878532 0.477684i \(-0.158524\pi\)
\(524\) −0.0390345 + 0.0575717i −0.00170523 + 0.00251503i
\(525\) −5.25233 6.49781i −0.229231 0.283588i
\(526\) −4.20437 12.4781i −0.183319 0.544072i
\(527\) 13.6653 1.48619i 0.595271 0.0647397i
\(528\) −23.7401 + 17.1509i −1.03316 + 0.746396i
\(529\) −0.329729 6.08149i −0.0143360 0.264413i
\(530\) 13.6427 0.592601
\(531\) −16.4770 16.1092i −0.715042 0.699082i
\(532\) −0.00369473 −0.000160187
\(533\) 0.0730144 + 1.34667i 0.00316261 + 0.0583308i
\(534\) −5.10988 + 3.69159i −0.221126 + 0.159751i
\(535\) −25.6041 + 2.78461i −1.10696 + 0.120389i
\(536\) −13.7672 40.8597i −0.594655 1.76487i
\(537\) 1.79041 + 2.21497i 0.0772618 + 0.0955829i
\(538\) −9.62995 + 14.2031i −0.415177 + 0.612340i
\(539\) −3.15289 19.2318i −0.135805 0.828371i
\(540\) 0.0555115 0.0506276i 0.00238883 0.00217867i
\(541\) −40.0256 + 15.9477i −1.72084 + 0.685643i −0.999972 0.00743417i \(-0.997634\pi\)
−0.720863 + 0.693078i \(0.756254\pi\)
\(542\) 38.6530 + 8.50818i 1.66029 + 0.365458i
\(543\) −0.350887 + 0.316527i −0.0150580 + 0.0135835i
\(544\) −0.0943144 0.0801114i −0.00404370 0.00343475i
\(545\) −6.94330 4.17765i −0.297418 0.178951i
\(546\) 5.15168 + 3.67919i 0.220472 + 0.157455i
\(547\) −33.7549 + 7.43001i −1.44325 + 0.317684i −0.866477 0.499218i \(-0.833621\pi\)
−0.576777 + 0.816902i \(0.695690\pi\)
\(548\) 0.140233 0.0950802i 0.00599045 0.00406162i
\(549\) 1.62117 5.96500i 0.0691899 0.254580i
\(550\) −8.75980 16.5227i −0.373519 0.704532i
\(551\) 0.174659 + 0.377520i 0.00744074 + 0.0160829i
\(552\) −0.598857 20.0826i −0.0254890 0.854772i
\(553\) 1.83008 11.1630i 0.0778229 0.474699i
\(554\) −21.8305 20.6789i −0.927487 0.878562i
\(555\) −15.5982 15.5133i −0.662105 0.658502i
\(556\) −0.00469776 + 0.00357115i −0.000199229 + 0.000151450i
\(557\) −19.7115 + 25.9301i −0.835204 + 1.09869i 0.158578 + 0.987346i \(0.449309\pi\)
−0.993782 + 0.111345i \(0.964484\pi\)
\(558\) 20.6597 + 19.3571i 0.874594 + 0.819452i
\(559\) 6.46153 12.1877i 0.273294 0.515487i
\(560\) 8.43032 + 0.457079i 0.356246 + 0.0193151i
\(561\) 8.06711 12.6971i 0.340594 0.536072i
\(562\) −13.4728 7.14281i −0.568315 0.301301i
\(563\) −5.00024 18.0093i −0.210735 0.759000i −0.991036 0.133595i \(-0.957348\pi\)
0.780301 0.625404i \(-0.215066\pi\)
\(564\) 0.0810641 0.0351336i 0.00341341 0.00147939i
\(565\) 8.39689 + 11.0459i 0.353260 + 0.464705i
\(566\) −10.8177 3.00352i −0.454702 0.126247i
\(567\) 13.0686 4.56272i 0.548830 0.191616i
\(568\) 20.5360 + 3.36671i 0.861673 + 0.141264i
\(569\) 23.3936 14.0755i 0.980711 0.590074i 0.0675688 0.997715i \(-0.478476\pi\)
0.913143 + 0.407640i \(0.133648\pi\)
\(570\) −0.758087 0.0596475i −0.0317528 0.00249836i
\(571\) 6.65064 3.52595i 0.278321 0.147556i −0.323401 0.946262i \(-0.604826\pi\)
0.601722 + 0.798706i \(0.294482\pi\)
\(572\) 0.0513327 + 0.0541913i 0.00214633 + 0.00226585i
\(573\) 31.6860 2.66714i 1.32370 0.111421i
\(574\) −0.377263 1.71392i −0.0157467 0.0715378i
\(575\) 12.8216 + 1.39444i 0.534700 + 0.0581521i
\(576\) 0.130250 + 23.8712i 0.00542709 + 0.994633i
\(577\) −13.7063 + 16.1363i −0.570600 + 0.671763i −0.969460 0.245249i \(-0.921130\pi\)
0.398860 + 0.917012i \(0.369406\pi\)
\(578\) −17.1113 5.76548i −0.711737 0.239812i
\(579\) −20.6136 + 23.1036i −0.856674 + 0.960151i
\(580\) 0.00981521 + 0.0246343i 0.000407554 + 0.00102288i
\(581\) 16.3628 + 19.2638i 0.678845 + 0.799198i
\(582\) −5.21717 + 14.3215i −0.216259 + 0.593647i
\(583\) 24.5304 + 16.6321i 1.01595 + 0.688829i
\(584\) 23.5653 + 9.38926i 0.975138 + 0.388530i
\(585\) 5.25540 + 4.41484i 0.217284 + 0.182531i
\(586\) −0.387205 3.56029i −0.0159953 0.147074i
\(587\) 39.6081 + 18.3247i 1.63480 + 0.756340i 0.999868 0.0162273i \(-0.00516553\pi\)
0.634933 + 0.772567i \(0.281028\pi\)
\(588\) 0.0762701 + 0.0375676i 0.00314533 + 0.00154926i
\(589\) 1.50950i 0.0621979i
\(590\) −1.12029 + 14.8262i −0.0461217 + 0.610383i
\(591\) 5.64077 + 3.16888i 0.232030 + 0.130350i
\(592\) −37.3571 + 2.02544i −1.53537 + 0.0832453i
\(593\) −8.02769 + 17.3516i −0.329658 + 0.712544i −0.999553 0.0299125i \(-0.990477\pi\)
0.669895 + 0.742456i \(0.266339\pi\)
\(594\) 30.6639 4.43379i 1.25816 0.181921i
\(595\) −4.10950 + 1.38465i −0.168473 + 0.0567652i
\(596\) −0.0535263 + 0.134341i −0.00219252 + 0.00550281i
\(597\) −11.6873 23.4046i −0.478328 0.957886i
\(598\) −9.64334 + 1.58094i −0.394345 + 0.0646496i
\(599\) 16.0231 13.6102i 0.654686 0.556096i −0.257292 0.966334i \(-0.582830\pi\)
0.911979 + 0.410238i \(0.134554\pi\)
\(600\) −15.1895 2.02733i −0.620108 0.0827655i
\(601\) −1.21310 + 5.51115i −0.0494832 + 0.224804i −0.994872 0.101140i \(-0.967751\pi\)
0.945389 + 0.325944i \(0.105682\pi\)
\(602\) −5.73163 + 17.0109i −0.233604 + 0.693312i
\(603\) −7.17142 + 45.2902i −0.292043 + 1.84436i
\(604\) −0.107323 + 0.178372i −0.00436691 + 0.00725786i
\(605\) −0.986381 + 9.06963i −0.0401021 + 0.368733i
\(606\) −5.47697 + 18.0125i −0.222487 + 0.731709i
\(607\) −20.4833 30.2105i −0.831390 1.22621i −0.971728 0.236105i \(-0.924129\pi\)
0.140338 0.990104i \(-0.455181\pi\)
\(608\) −0.00986562 + 0.00934521i −0.000400104 + 0.000378999i
\(609\) −0.118976 + 4.88419i −0.00482114 + 0.197917i
\(610\) −3.61981 + 1.67470i −0.146562 + 0.0678067i
\(611\) 4.16120 + 6.91596i 0.168344 + 0.279790i
\(612\) 0.0246233 + 0.0608324i 0.000995337 + 0.00245900i
\(613\) 30.2780 31.9641i 1.22292 1.29102i 0.279212 0.960230i \(-0.409927\pi\)
0.943705 0.330788i \(-0.107314\pi\)
\(614\) 4.94183 17.7989i 0.199436 0.718303i
\(615\) −0.262012 1.88461i −0.0105653 0.0759948i
\(616\) 14.5241 + 11.0409i 0.585193 + 0.444852i
\(617\) −38.9594 + 10.8170i −1.56845 + 0.435477i −0.939663 0.342102i \(-0.888861\pi\)
−0.628785 + 0.777579i \(0.716447\pi\)
\(618\) 41.0235 26.3796i 1.65021 1.06114i
\(619\) −0.820148 + 15.1267i −0.0329645 + 0.607995i 0.934651 + 0.355566i \(0.115712\pi\)
−0.967616 + 0.252428i \(0.918771\pi\)
\(620\) 0.00520980 0.0960892i 0.000209231 0.00385903i
\(621\) −9.33673 + 19.2194i −0.374670 + 0.771247i
\(622\) 35.4233 9.83523i 1.42034 0.394357i
\(623\) 3.14276 + 2.38906i 0.125912 + 0.0957158i
\(624\) 11.5612 1.60732i 0.462819 0.0643444i
\(625\) 0.138832 0.500028i 0.00555329 0.0200011i
\(626\) −11.9987 + 12.6669i −0.479566 + 0.506272i
\(627\) −1.29037 1.03145i −0.0515324 0.0411920i
\(628\) −0.0633302 0.105256i −0.00252715 0.00420016i
\(629\) 17.4402 8.06869i 0.695386 0.321720i
\(630\) −7.67801 4.56283i −0.305899 0.181787i
\(631\) 29.3726 27.8232i 1.16930 1.10762i 0.176948 0.984220i \(-0.443377\pi\)
0.992356 0.123404i \(-0.0393812\pi\)
\(632\) −11.6431 17.1724i −0.463139 0.683080i
\(633\) 42.2366 + 12.8426i 1.67875 + 0.510449i
\(634\) 2.04932 18.8432i 0.0813890 0.748360i
\(635\) 4.26778 7.09310i 0.169362 0.281481i
\(636\) −0.121242 + 0.0449179i −0.00480756 + 0.00178111i
\(637\) −2.48005 + 7.36053i −0.0982632 + 0.291635i
\(638\) −2.35080 + 10.6798i −0.0930690 + 0.422817i
\(639\) −17.6916 13.2971i −0.699868 0.526025i
\(640\) 11.8641 10.0774i 0.468969 0.398346i
\(641\) −23.2609 + 3.81343i −0.918749 + 0.150621i −0.602559 0.798074i \(-0.705852\pi\)
−0.316191 + 0.948696i \(0.602404\pi\)
\(642\) 41.4538 20.7003i 1.63605 0.816976i
\(643\) −6.50879 + 16.3358i −0.256681 + 0.644222i −0.999686 0.0250647i \(-0.992021\pi\)
0.743004 + 0.669287i \(0.233400\pi\)
\(644\) 0.0634804 0.0213890i 0.00250148 0.000842846i
\(645\) −7.64182 + 17.8991i −0.300896 + 0.704775i
\(646\) 0.278904 0.602842i 0.0109733 0.0237185i
\(647\) −21.6449 + 1.17355i −0.850950 + 0.0461371i −0.474453 0.880281i \(-0.657354\pi\)
−0.376497 + 0.926418i \(0.622871\pi\)
\(648\) 11.6465 22.5590i 0.457517 0.886203i
\(649\) −20.0892 + 25.2926i −0.788570 + 0.992822i
\(650\) 7.45334i 0.292344i
\(651\) 7.83408 15.9048i 0.307042 0.623360i
\(652\) 0.0265861 + 0.0123001i 0.00104119 + 0.000481707i
\(653\) 0.844690 + 7.76680i 0.0330553 + 0.303938i 0.998982 + 0.0451208i \(0.0143673\pi\)
−0.965926 + 0.258817i \(0.916667\pi\)
\(654\) 14.3244 + 2.70812i 0.560130 + 0.105896i
\(655\) 8.32842 + 3.31835i 0.325418 + 0.129658i
\(656\) −2.67824 1.81589i −0.104568 0.0708987i
\(657\) −17.5768 20.4657i −0.685738 0.798442i
\(658\) −6.79946 8.00494i −0.265071 0.312065i
\(659\) 0.728560 + 1.82855i 0.0283807 + 0.0712301i 0.942484 0.334251i \(-0.108483\pi\)
−0.914103 + 0.405481i \(0.867104\pi\)
\(660\) −0.0785803 0.0701115i −0.00305873 0.00272909i
\(661\) 34.1345 + 11.5012i 1.32768 + 0.447347i 0.891707 0.452614i \(-0.149508\pi\)
0.435971 + 0.899961i \(0.356405\pi\)
\(662\) −20.7217 + 24.3955i −0.805371 + 0.948157i
\(663\) −5.21095 + 2.96493i −0.202377 + 0.115148i
\(664\) 46.0856 + 5.01211i 1.78847 + 0.194508i
\(665\) 0.102371 + 0.465077i 0.00396979 + 0.0180349i
\(666\) 36.0100 + 16.4221i 1.39536 + 0.636343i
\(667\) −5.18636 5.47518i −0.200817 0.212000i
\(668\) −0.126170 + 0.0668910i −0.00488166 + 0.00258809i
\(669\) −2.20372 + 28.0081i −0.0852008 + 1.08285i
\(670\) 25.3517 15.2536i 0.979423 0.589299i
\(671\) −8.55030 1.40175i −0.330081 0.0541140i
\(672\) −0.152449 + 0.0472646i −0.00588086 + 0.00182327i
\(673\) −38.5822 10.7123i −1.48724 0.412929i −0.573489 0.819213i \(-0.694411\pi\)
−0.913747 + 0.406284i \(0.866824\pi\)
\(674\) −8.45597 11.1236i −0.325712 0.428466i
\(675\) 13.3138 + 9.39904i 0.512447 + 0.361769i
\(676\) 0.0288773 + 0.104007i 0.00111067 + 0.00400026i
\(677\) −15.1394 8.02640i −0.581854 0.308479i 0.151359 0.988479i \(-0.451635\pi\)
−0.733213 + 0.679999i \(0.761980\pi\)
\(678\) −21.0693 13.3864i −0.809163 0.514103i
\(679\) 9.53128 + 0.516771i 0.365777 + 0.0198319i
\(680\) −3.72552 + 7.02708i −0.142867 + 0.269476i
\(681\) −49.2119 12.0960i −1.88580 0.463519i
\(682\) 24.0156 31.5920i 0.919605 1.20972i
\(683\) 12.7055 9.65846i 0.486162 0.369571i −0.333192 0.942859i \(-0.608126\pi\)
0.819354 + 0.573288i \(0.194333\pi\)
\(684\) 0.00693347 0.00196588i 0.000265108 7.51673e-5i
\(685\) −15.8538 15.0175i −0.605741 0.573789i
\(686\) 4.10490 25.0388i 0.156726 0.955984i
\(687\) 44.0059 1.31224i 1.67893 0.0500652i
\(688\) 13.8973 + 30.0384i 0.529828 + 1.14520i
\(689\) −5.53279 10.4360i −0.210783 0.397578i
\(690\) 13.3702 3.36378i 0.508996 0.128057i
\(691\) −26.1464 + 17.7277i −0.994654 + 0.674392i −0.945913 0.324419i \(-0.894831\pi\)
−0.0487407 + 0.998811i \(0.515521\pi\)
\(692\) 0.0934024 0.0205594i 0.00355063 0.000781552i
\(693\) −8.24292 17.5647i −0.313123 0.667226i
\(694\) 38.1137 + 22.9322i 1.44678 + 0.870496i
\(695\) 0.579683 + 0.492387i 0.0219886 + 0.0186773i
\(696\) 6.00205 + 6.65360i 0.227507 + 0.252204i
\(697\) 1.62318 + 0.357289i 0.0614823 + 0.0135333i
\(698\) −0.152678 + 0.0608325i −0.00577895 + 0.00230254i
\(699\) −1.33787 + 0.260500i −0.0506027 + 0.00985302i
\(700\) −0.00826579 0.0504191i −0.000312418 0.00190566i
\(701\) 0.0624811 0.0921528i 0.00235988 0.00348056i −0.826507 0.562926i \(-0.809676\pi\)
0.828867 + 0.559446i \(0.188986\pi\)
\(702\) −11.6252 4.16321i −0.438764 0.157130i
\(703\) −0.673798 1.99976i −0.0254128 0.0754224i
\(704\) 33.2647 3.61775i 1.25371 0.136349i
\(705\) −6.66854 9.23054i −0.251152 0.347642i
\(706\) 0.615031 + 11.3436i 0.0231470 + 0.426921i
\(707\) 11.7901 0.443412
\(708\) −0.0388584 0.135448i −0.00146039 0.00509045i
\(709\) −6.05168 −0.227276 −0.113638 0.993522i \(-0.536250\pi\)
−0.113638 + 0.993522i \(0.536250\pi\)
\(710\) 0.773105 + 14.2591i 0.0290141 + 0.535134i
\(711\) 2.50526 + 21.9220i 0.0939547 + 0.822140i
\(712\) 7.19808 0.782839i 0.269760 0.0293381i
\(713\) 8.73859 + 25.9352i 0.327263 + 0.971282i
\(714\) 6.06733 4.90436i 0.227064 0.183541i
\(715\) 5.39908 7.96305i 0.201914 0.297801i
\(716\) 0.00281763 + 0.0171868i 0.000105300 + 0.000642301i
\(717\) −3.63720 18.6798i −0.135834 0.697610i
\(718\) −7.37727 + 2.93937i −0.275317 + 0.109696i
\(719\) −15.0397 3.31049i −0.560887 0.123461i −0.0745269 0.997219i \(-0.523745\pi\)
−0.486360 + 0.873758i \(0.661676\pi\)
\(720\) −16.0634 + 3.62783i −0.598648 + 0.135201i
\(721\) −23.2792 19.7735i −0.866961 0.736404i
\(722\) 23.0222 + 13.8520i 0.856797 + 0.515518i
\(723\) 10.5527 14.7761i 0.392459 0.549530i
\(724\) −0.00282216 0.000621204i −0.000104885 2.30869e-5i
\(725\) −4.76097 + 3.22802i −0.176818 + 0.119886i
\(726\) −4.00452 15.9170i −0.148622 0.590735i
\(727\) 13.5566 + 25.5705i 0.502787 + 0.948356i 0.996879 + 0.0789466i \(0.0251557\pi\)
−0.494092 + 0.869409i \(0.664500\pi\)
\(728\) −3.05310 6.59917i −0.113156 0.244582i
\(729\) −22.0966 + 15.5158i −0.818392 + 0.574660i
\(730\) −2.81612 + 17.1776i −0.104229 + 0.635770i
\(731\) −12.3420 11.6910i −0.456486 0.432406i
\(732\) 0.0266552 0.0268011i 0.000985205 0.000990595i
\(733\) −21.9494 + 16.6855i −0.810718 + 0.616292i −0.926206 0.377017i \(-0.876950\pi\)
0.115488 + 0.993309i \(0.463157\pi\)
\(734\) −8.35132 + 10.9860i −0.308253 + 0.405500i
\(735\) 2.61561 10.6415i 0.0964781 0.392516i
\(736\) 0.115404 0.217676i 0.00425386 0.00802363i
\(737\) 64.1800 + 3.47974i 2.36410 + 0.128178i
\(738\) 1.61990 + 3.01559i 0.0596295 + 0.111005i
\(739\) 2.77009 + 1.46861i 0.101899 + 0.0540236i 0.518579 0.855030i \(-0.326461\pi\)
−0.416679 + 0.909054i \(0.636806\pi\)
\(740\) −0.0359896 0.129623i −0.00132300 0.00476503i
\(741\) 0.261814 + 0.604087i 0.00961799 + 0.0221917i
\(742\) 9.30179 + 12.2363i 0.341479 + 0.449209i
\(743\) −36.5236 10.1407i −1.33992 0.372028i −0.477685 0.878531i \(-0.658524\pi\)
−0.862238 + 0.506504i \(0.830938\pi\)
\(744\) −9.62947 31.0593i −0.353033 1.13869i
\(745\) 18.3933 + 3.01543i 0.673879 + 0.110477i
\(746\) −16.1222 + 9.70039i −0.590275 + 0.355156i
\(747\) −40.9561 27.4439i −1.49850 1.00412i
\(748\) 0.0812736 0.0430885i 0.00297166 0.00157547i
\(749\) −19.9548 21.0660i −0.729132 0.769735i
\(750\) −2.28811 27.1831i −0.0835501 0.992585i
\(751\) −4.49800 20.4346i −0.164134 0.745670i −0.984720 0.174146i \(-0.944283\pi\)
0.820585 0.571524i \(-0.193648\pi\)
\(752\) −19.2519 2.09377i −0.702046 0.0763521i
\(753\) −9.83542 17.2860i −0.358423 0.629937i
\(754\) 2.82151 3.32174i 0.102753 0.120971i
\(755\) 25.4264 + 8.56714i 0.925361 + 0.311790i
\(756\) 0.0832570 + 0.0152702i 0.00302803 + 0.000555372i
\(757\) 3.26657 + 8.19847i 0.118725 + 0.297978i 0.976314 0.216358i \(-0.0694177\pi\)
−0.857589 + 0.514336i \(0.828038\pi\)
\(758\) 18.5136 + 21.7959i 0.672443 + 0.791661i
\(759\) 28.1414 + 10.2516i 1.02147 + 0.372109i
\(760\) 0.722919 + 0.490151i 0.0262230 + 0.0177796i
\(761\) −41.8649 16.6805i −1.51760 0.604668i −0.545267 0.838262i \(-0.683572\pi\)
−0.972334 + 0.233595i \(0.924951\pi\)
\(762\) −2.76655 + 14.6335i −0.100221 + 0.530115i
\(763\) −0.987065 9.07591i −0.0357341 0.328570i
\(764\) 0.176475 + 0.0816460i 0.00638464 + 0.00295385i
\(765\) 6.97507 4.78498i 0.252184 0.173001i
\(766\) 33.8546i 1.22322i
\(767\) 11.7956 5.15578i 0.425913 0.186164i
\(768\) −0.215638 + 0.383848i −0.00778118 + 0.0138509i
\(769\) −13.5182 + 0.732937i −0.487480 + 0.0264304i −0.296241 0.955113i \(-0.595733\pi\)
−0.191239 + 0.981544i \(0.561250\pi\)
\(770\) −5.25670 + 11.3622i −0.189438 + 0.409464i
\(771\) −8.69355 3.71162i −0.313091 0.133671i
\(772\) −0.179428 + 0.0604563i −0.00645775