Properties

Label 177.2.f.a.98.6
Level $177$
Weight $2$
Character 177.98
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 98.6
Character \(\chi\) \(=\) 177.98
Dual form 177.2.f.a.56.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03012 - 0.476584i) q^{2} +(1.26707 - 1.18090i) q^{3} +(-0.460759 - 0.542447i) q^{4} +(-0.173815 - 0.288882i) q^{5} +(-1.86803 + 0.612606i) q^{6} +(-0.0891705 - 1.64465i) q^{7} +(0.823417 + 2.96568i) q^{8} +(0.210936 - 2.99258i) q^{9} +O(q^{10})\) \(q+(-1.03012 - 0.476584i) q^{2} +(1.26707 - 1.18090i) q^{3} +(-0.460759 - 0.542447i) q^{4} +(-0.173815 - 0.288882i) q^{5} +(-1.86803 + 0.612606i) q^{6} +(-0.0891705 - 1.64465i) q^{7} +(0.823417 + 2.96568i) q^{8} +(0.210936 - 2.99258i) q^{9} +(0.0413732 + 0.380421i) q^{10} +(-0.710932 - 4.33649i) q^{11} +(-1.22439 - 0.143207i) q^{12} +(-3.33415 + 4.38599i) q^{13} +(-0.691959 + 1.73669i) q^{14} +(-0.561378 - 0.160776i) q^{15} +(0.334890 - 2.04274i) q^{16} +(4.91361 + 0.266408i) q^{17} +(-1.64350 + 2.98218i) q^{18} +(-3.01127 - 2.85243i) q^{19} +(-0.0766168 + 0.227391i) q^{20} +(-2.05516 - 1.97859i) q^{21} +(-1.33436 + 4.80592i) q^{22} +(0.795326 + 0.175064i) q^{23} +(4.54551 + 2.78535i) q^{24} +(2.28880 - 4.31714i) q^{25} +(5.52486 - 2.92910i) q^{26} +(-3.26667 - 4.04090i) q^{27} +(-0.851052 + 0.806159i) q^{28} +(0.998316 + 2.15782i) q^{29} +(0.501663 + 0.433162i) q^{30} +(2.90901 + 3.07101i) q^{31} +(2.13601 - 3.15037i) q^{32} +(-6.02178 - 4.65510i) q^{33} +(-4.93464 - 2.61618i) q^{34} +(-0.459612 + 0.311625i) q^{35} +(-1.72051 + 1.26443i) q^{36} +(6.35326 + 1.76397i) q^{37} +(1.74255 + 4.37347i) q^{38} +(0.954835 + 9.49467i) q^{39} +(0.713611 - 0.753350i) q^{40} +(2.11729 + 9.61894i) q^{41} +(1.17410 + 3.01764i) q^{42} +(3.82017 + 0.626285i) q^{43} +(-2.02475 + 2.38372i) q^{44} +(-0.901166 + 0.459218i) q^{45} +(-0.735848 - 0.559377i) q^{46} +(7.13104 + 4.29060i) q^{47} +(-1.98795 - 2.98377i) q^{48} +(4.26203 - 0.463524i) q^{49} +(-4.41522 + 3.35636i) q^{50} +(6.54050 - 5.46494i) q^{51} +(3.91541 - 0.212287i) q^{52} +(0.763118 - 7.01676i) q^{53} +(1.43923 + 5.71945i) q^{54} +(-1.12917 + 0.959122i) q^{55} +(4.80409 - 1.61869i) q^{56} +(-7.18394 - 0.0582080i) q^{57} -2.69860i q^{58} +(-6.99170 + 3.18058i) q^{59} +(0.171447 + 0.378597i) q^{60} +(-3.49065 + 7.54492i) q^{61} +(-1.53304 - 4.54989i) q^{62} +(-4.94056 - 0.0800672i) q^{63} +(-7.24916 + 4.36168i) q^{64} +(1.84656 + 0.200826i) q^{65} +(3.98460 + 7.66519i) q^{66} +(1.07167 - 0.297548i) q^{67} +(-2.11948 - 2.78813i) q^{68} +(1.21447 - 0.717384i) q^{69} +(0.621971 - 0.101967i) q^{70} +(5.04732 - 8.38870i) q^{71} +(9.04871 - 1.83857i) q^{72} +(-7.66707 - 3.05484i) q^{73} +(-5.70393 - 4.84496i) q^{74} +(-2.19805 - 8.17297i) q^{75} +(-0.159822 + 2.94774i) q^{76} +(-7.06863 + 1.55592i) q^{77} +(3.54141 - 10.2357i) q^{78} +(3.48533 + 1.17434i) q^{79} +(-0.648320 + 0.258314i) q^{80} +(-8.91101 - 1.26248i) q^{81} +(2.40317 - 10.9177i) q^{82} +(-5.28776 - 7.79886i) q^{83} +(-0.126347 + 2.02647i) q^{84} +(-0.777098 - 1.46576i) q^{85} +(-3.63675 - 2.46578i) q^{86} +(3.81312 + 1.55520i) q^{87} +(12.2753 - 5.67914i) q^{88} +(-11.1072 + 5.13874i) q^{89} +(1.14716 - 0.0435681i) q^{90} +(7.51075 + 5.09241i) q^{91} +(-0.271490 - 0.512085i) q^{92} +(7.31249 + 0.455922i) q^{93} +(-5.30099 - 7.81837i) q^{94} +(-0.300613 + 1.36570i) q^{95} +(-1.01381 - 6.51416i) q^{96} +(10.5239 - 4.19310i) q^{97} +(-4.61131 - 1.55373i) q^{98} +(-13.1272 + 1.21279i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{37}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03012 0.476584i −0.728404 0.336996i 0.0203954 0.999792i \(-0.493507\pi\)
−0.748800 + 0.662796i \(0.769370\pi\)
\(3\) 1.26707 1.18090i 0.731544 0.681795i
\(4\) −0.460759 0.542447i −0.230379 0.271224i
\(5\) −0.173815 0.288882i −0.0777323 0.129192i 0.815553 0.578683i \(-0.196433\pi\)
−0.893285 + 0.449491i \(0.851605\pi\)
\(6\) −1.86803 + 0.612606i −0.762621 + 0.250095i
\(7\) −0.0891705 1.64465i −0.0337033 0.621620i −0.965781 0.259361i \(-0.916488\pi\)
0.932077 0.362260i \(-0.117995\pi\)
\(8\) 0.823417 + 2.96568i 0.291122 + 1.04853i
\(9\) 0.210936 2.99258i 0.0703120 0.997525i
\(10\) 0.0413732 + 0.380421i 0.0130834 + 0.120300i
\(11\) −0.710932 4.33649i −0.214354 1.30750i −0.846390 0.532563i \(-0.821229\pi\)
0.632036 0.774939i \(-0.282219\pi\)
\(12\) −1.22439 0.143207i −0.353451 0.0413404i
\(13\) −3.33415 + 4.38599i −0.924726 + 1.21646i 0.0512739 + 0.998685i \(0.483672\pi\)
−0.976000 + 0.217771i \(0.930121\pi\)
\(14\) −0.691959 + 1.73669i −0.184934 + 0.464149i
\(15\) −0.561378 0.160776i −0.144947 0.0415122i
\(16\) 0.334890 2.04274i 0.0837225 0.510685i
\(17\) 4.91361 + 0.266408i 1.19173 + 0.0646135i 0.639306 0.768952i \(-0.279222\pi\)
0.552420 + 0.833566i \(0.313704\pi\)
\(18\) −1.64350 + 2.98218i −0.387377 + 0.702907i
\(19\) −3.01127 2.85243i −0.690833 0.654392i 0.259458 0.965754i \(-0.416456\pi\)
−0.950291 + 0.311362i \(0.899215\pi\)
\(20\) −0.0766168 + 0.227391i −0.0171320 + 0.0508461i
\(21\) −2.05516 1.97859i −0.448473 0.431764i
\(22\) −1.33436 + 4.80592i −0.284486 + 1.02463i
\(23\) 0.795326 + 0.175064i 0.165837 + 0.0365035i 0.297113 0.954842i \(-0.403976\pi\)
−0.131276 + 0.991346i \(0.541907\pi\)
\(24\) 4.54551 + 2.78535i 0.927848 + 0.568557i
\(25\) 2.28880 4.31714i 0.457760 0.863427i
\(26\) 5.52486 2.92910i 1.08351 0.574443i
\(27\) −3.26667 4.04090i −0.628671 0.777671i
\(28\) −0.851052 + 0.806159i −0.160834 + 0.152350i
\(29\) 0.998316 + 2.15782i 0.185383 + 0.400698i 0.977877 0.209181i \(-0.0670799\pi\)
−0.792494 + 0.609879i \(0.791218\pi\)
\(30\) 0.501663 + 0.433162i 0.0915907 + 0.0790842i
\(31\) 2.90901 + 3.07101i 0.522474 + 0.551569i 0.932812 0.360364i \(-0.117348\pi\)
−0.410337 + 0.911934i \(0.634589\pi\)
\(32\) 2.13601 3.15037i 0.377596 0.556912i
\(33\) −6.02178 4.65510i −1.04826 0.810349i
\(34\) −4.93464 2.61618i −0.846284 0.448672i
\(35\) −0.459612 + 0.311625i −0.0776886 + 0.0526742i
\(36\) −1.72051 + 1.26443i −0.286751 + 0.210739i
\(37\) 6.35326 + 1.76397i 1.04447 + 0.289995i 0.747061 0.664755i \(-0.231464\pi\)
0.297408 + 0.954751i \(0.403878\pi\)
\(38\) 1.74255 + 4.37347i 0.282679 + 0.709470i
\(39\) 0.954835 + 9.49467i 0.152896 + 1.52036i
\(40\) 0.713611 0.753350i 0.112832 0.119115i
\(41\) 2.11729 + 9.61894i 0.330665 + 1.50223i 0.789526 + 0.613718i \(0.210327\pi\)
−0.458861 + 0.888508i \(0.651742\pi\)
\(42\) 1.17410 + 3.01764i 0.181167 + 0.465632i
\(43\) 3.82017 + 0.626285i 0.582570 + 0.0955076i 0.445859 0.895103i \(-0.352898\pi\)
0.136712 + 0.990611i \(0.456347\pi\)
\(44\) −2.02475 + 2.38372i −0.305243 + 0.359359i
\(45\) −0.901166 + 0.459218i −0.134338 + 0.0684562i
\(46\) −0.735848 0.559377i −0.108495 0.0824756i
\(47\) 7.13104 + 4.29060i 1.04017 + 0.625849i 0.929809 0.368043i \(-0.119972\pi\)
0.110360 + 0.993892i \(0.464800\pi\)
\(48\) −1.98795 2.98377i −0.286936 0.430670i
\(49\) 4.26203 0.463524i 0.608862 0.0662177i
\(50\) −4.41522 + 3.35636i −0.624406 + 0.474661i
\(51\) 6.54050 5.46494i 0.915853 0.765245i
\(52\) 3.91541 0.212287i 0.542970 0.0294390i
\(53\) 0.763118 7.01676i 0.104822 0.963826i −0.817112 0.576479i \(-0.804426\pi\)
0.921934 0.387347i \(-0.126608\pi\)
\(54\) 1.43923 + 5.71945i 0.195855 + 0.778319i
\(55\) −1.12917 + 0.959122i −0.152257 + 0.129328i
\(56\) 4.80409 1.61869i 0.641973 0.216306i
\(57\) −7.18394 0.0582080i −0.951536 0.00770984i
\(58\) 2.69860i 0.354343i
\(59\) −6.99170 + 3.18058i −0.910242 + 0.414076i
\(60\) 0.171447 + 0.378597i 0.0221337 + 0.0488766i
\(61\) −3.49065 + 7.54492i −0.446932 + 0.966028i 0.544902 + 0.838499i \(0.316567\pi\)
−0.991835 + 0.127529i \(0.959295\pi\)
\(62\) −1.53304 4.54989i −0.194696 0.577837i
\(63\) −4.94056 0.0800672i −0.622452 0.0100875i
\(64\) −7.24916 + 4.36168i −0.906145 + 0.545209i
\(65\) 1.84656 + 0.200826i 0.229038 + 0.0249094i
\(66\) 3.98460 + 7.66519i 0.490471 + 0.943520i
\(67\) 1.07167 0.297548i 0.130926 0.0363513i −0.201447 0.979499i \(-0.564565\pi\)
0.332373 + 0.943148i \(0.392151\pi\)
\(68\) −2.11948 2.78813i −0.257025 0.338110i
\(69\) 1.21447 0.717384i 0.146205 0.0863629i
\(70\) 0.621971 0.101967i 0.0743397 0.0121874i
\(71\) 5.04732 8.38870i 0.599006 0.995556i −0.397936 0.917413i \(-0.630273\pi\)
0.996942 0.0781428i \(-0.0248990\pi\)
\(72\) 9.04871 1.83857i 1.06640 0.216677i
\(73\) −7.66707 3.05484i −0.897363 0.357542i −0.124578 0.992210i \(-0.539758\pi\)
−0.772785 + 0.634668i \(0.781137\pi\)
\(74\) −5.70393 4.84496i −0.663068 0.563215i
\(75\) −2.19805 8.17297i −0.253809 0.943733i
\(76\) −0.159822 + 2.94774i −0.0183328 + 0.338129i
\(77\) −7.06863 + 1.55592i −0.805545 + 0.177314i
\(78\) 3.54141 10.2357i 0.400986 1.15897i
\(79\) 3.48533 + 1.17434i 0.392130 + 0.132124i 0.508458 0.861087i \(-0.330216\pi\)
−0.116328 + 0.993211i \(0.537112\pi\)
\(80\) −0.648320 + 0.258314i −0.0724844 + 0.0288804i
\(81\) −8.91101 1.26248i −0.990112 0.140276i
\(82\) 2.40317 10.9177i 0.265386 1.20566i
\(83\) −5.28776 7.79886i −0.580407 0.856036i 0.418224 0.908344i \(-0.362653\pi\)
−0.998631 + 0.0523081i \(0.983342\pi\)
\(84\) −0.126347 + 2.02647i −0.0137856 + 0.221106i
\(85\) −0.777098 1.46576i −0.0842881 0.158984i
\(86\) −3.63675 2.46578i −0.392161 0.265892i
\(87\) 3.81312 + 1.55520i 0.408809 + 0.166735i
\(88\) 12.2753 5.67914i 1.30855 0.605398i
\(89\) −11.1072 + 5.13874i −1.17736 + 0.544705i −0.908260 0.418406i \(-0.862589\pi\)
−0.269101 + 0.963112i \(0.586727\pi\)
\(90\) 1.14716 0.0435681i 0.120922 0.00459248i
\(91\) 7.51075 + 5.09241i 0.787340 + 0.533830i
\(92\) −0.271490 0.512085i −0.0283048 0.0533885i
\(93\) 7.31249 + 0.455922i 0.758270 + 0.0472769i
\(94\) −5.30099 7.81837i −0.546755 0.806404i
\(95\) −0.300613 + 1.36570i −0.0308422 + 0.140118i
\(96\) −1.01381 6.51416i −0.103472 0.664849i
\(97\) 10.5239 4.19310i 1.06854 0.425744i 0.231469 0.972842i \(-0.425647\pi\)
0.837069 + 0.547098i \(0.184267\pi\)
\(98\) −4.61131 1.55373i −0.465813 0.156951i
\(99\) −13.1272 + 1.21279i −1.31934 + 0.121890i
\(100\) −3.39640 + 0.747605i −0.339640 + 0.0747605i
\(101\) −0.399493 + 7.36822i −0.0397510 + 0.733165i 0.908934 + 0.416941i \(0.136898\pi\)
−0.948685 + 0.316224i \(0.897585\pi\)
\(102\) −9.34200 + 2.51245i −0.924996 + 0.248769i
\(103\) −7.57577 6.43491i −0.746463 0.634051i 0.191219 0.981547i \(-0.438756\pi\)
−0.937681 + 0.347496i \(0.887032\pi\)
\(104\) −15.7528 6.27651i −1.54469 0.615462i
\(105\) −0.214362 + 0.937608i −0.0209196 + 0.0915012i
\(106\) −4.13018 + 6.86441i −0.401158 + 0.666730i
\(107\) 5.41219 0.887283i 0.523216 0.0857769i 0.105614 0.994407i \(-0.466319\pi\)
0.417601 + 0.908630i \(0.362871\pi\)
\(108\) −0.686828 + 3.63388i −0.0660900 + 0.349670i
\(109\) −2.13151 2.80396i −0.204162 0.268570i 0.682605 0.730788i \(-0.260847\pi\)
−0.886767 + 0.462217i \(0.847054\pi\)
\(110\) 1.62028 0.449868i 0.154487 0.0428932i
\(111\) 10.1331 5.26750i 0.961792 0.499969i
\(112\) −3.38946 0.368626i −0.320274 0.0348319i
\(113\) −0.642948 + 0.386849i −0.0604835 + 0.0363917i −0.545474 0.838127i \(-0.683650\pi\)
0.484991 + 0.874519i \(0.338823\pi\)
\(114\) 7.37257 + 3.48371i 0.690505 + 0.326279i
\(115\) −0.0876664 0.260184i −0.00817493 0.0242623i
\(116\) 0.710523 1.53577i 0.0659704 0.142593i
\(117\) 12.4221 + 10.9028i 1.14843 + 1.00797i
\(118\) 8.71810 + 0.0557552i 0.802566 + 0.00513268i
\(119\) 8.10495i 0.742979i
\(120\) 0.0145623 1.79725i 0.00132935 0.164066i
\(121\) −7.87556 + 2.65358i −0.715960 + 0.241235i
\(122\) 7.19158 6.10858i 0.651095 0.553045i
\(123\) 14.0418 + 9.68756i 1.26611 + 0.873498i
\(124\) 0.325506 2.99298i 0.0292313 0.268778i
\(125\) −3.32821 + 0.180450i −0.297684 + 0.0161400i
\(126\) 5.05120 + 2.43707i 0.449997 + 0.217111i
\(127\) −4.99774 + 3.79918i −0.443478 + 0.337123i −0.802964 0.596027i \(-0.796745\pi\)
0.359486 + 0.933150i \(0.382952\pi\)
\(128\) 1.97838 0.215161i 0.174865 0.0190178i
\(129\) 5.58001 3.71770i 0.491292 0.327325i
\(130\) −1.80647 1.08692i −0.158438 0.0953288i
\(131\) −0.206590 0.157045i −0.0180498 0.0137211i 0.596110 0.802902i \(-0.296712\pi\)
−0.614160 + 0.789181i \(0.710505\pi\)
\(132\) 0.249441 + 5.41138i 0.0217110 + 0.471000i
\(133\) −4.42274 + 5.20685i −0.383500 + 0.451491i
\(134\) −1.24576 0.204231i −0.107617 0.0176429i
\(135\) −0.599549 + 1.64605i −0.0516010 + 0.141670i
\(136\) 3.25587 + 14.7916i 0.279189 + 1.26837i
\(137\) −14.3954 + 15.1971i −1.22988 + 1.29837i −0.289941 + 0.957045i \(0.593636\pi\)
−0.939944 + 0.341329i \(0.889123\pi\)
\(138\) −1.59294 + 0.160195i −0.135600 + 0.0136367i
\(139\) 2.78771 + 6.99663i 0.236451 + 0.593447i 0.998540 0.0540259i \(-0.0172053\pi\)
−0.762089 + 0.647473i \(0.775826\pi\)
\(140\) 0.380810 + 0.105732i 0.0321844 + 0.00893594i
\(141\) 14.1023 2.98457i 1.18763 0.251346i
\(142\) −9.19726 + 6.23590i −0.771817 + 0.523305i
\(143\) 21.3902 + 11.3404i 1.78874 + 0.948328i
\(144\) −6.04241 1.43307i −0.503534 0.119423i
\(145\) 0.449836 0.663458i 0.0373568 0.0550972i
\(146\) 6.44211 + 6.80085i 0.533153 + 0.562843i
\(147\) 4.85292 5.62037i 0.400262 0.463560i
\(148\) −1.97046 4.25907i −0.161971 0.350094i
\(149\) −13.6112 + 12.8932i −1.11507 + 1.05625i −0.117067 + 0.993124i \(0.537349\pi\)
−0.998005 + 0.0631285i \(0.979892\pi\)
\(150\) −1.63085 + 9.46669i −0.133159 + 0.772952i
\(151\) 2.55392 1.35400i 0.207835 0.110187i −0.361240 0.932473i \(-0.617646\pi\)
0.569075 + 0.822286i \(0.307302\pi\)
\(152\) 5.97986 11.2792i 0.485031 0.914865i
\(153\) 1.83371 14.6482i 0.148246 1.18423i
\(154\) 8.02306 + 1.76601i 0.646517 + 0.142309i
\(155\) 0.381531 1.37415i 0.0306453 0.110374i
\(156\) 4.71041 4.89270i 0.377135 0.391730i
\(157\) 0.809676 2.40303i 0.0646191 0.191783i −0.910480 0.413554i \(-0.864287\pi\)
0.975099 + 0.221771i \(0.0711838\pi\)
\(158\) −3.03063 2.87077i −0.241104 0.228386i
\(159\) −7.31919 9.79190i −0.580449 0.776548i
\(160\) −1.28136 0.0694731i −0.101300 0.00549233i
\(161\) 0.217001 1.32365i 0.0171021 0.104318i
\(162\) 8.57773 + 5.54735i 0.673930 + 0.435841i
\(163\) −8.05093 + 20.2063i −0.630597 + 1.58268i 0.171301 + 0.985219i \(0.445203\pi\)
−0.801898 + 0.597461i \(0.796176\pi\)
\(164\) 4.24221 5.58053i 0.331261 0.435766i
\(165\) −0.298103 + 2.54871i −0.0232073 + 0.198417i
\(166\) 1.73021 + 10.5538i 0.134290 + 0.819135i
\(167\) −0.130144 1.19665i −0.0100708 0.0925996i 0.988024 0.154301i \(-0.0493127\pi\)
−0.998095 + 0.0617019i \(0.980347\pi\)
\(168\) 4.17561 7.72415i 0.322155 0.595931i
\(169\) −4.64255 16.7210i −0.357119 1.28623i
\(170\) 0.101945 + 1.88026i 0.00781882 + 0.144210i
\(171\) −9.17130 + 8.40978i −0.701347 + 0.643112i
\(172\) −1.42045 2.36081i −0.108308 0.180010i
\(173\) 7.31245 + 8.60888i 0.555955 + 0.654521i 0.966303 0.257408i \(-0.0828684\pi\)
−0.410347 + 0.911929i \(0.634593\pi\)
\(174\) −3.18678 3.41931i −0.241589 0.259218i
\(175\) −7.30428 3.37932i −0.552152 0.255453i
\(176\) −9.09641 −0.685667
\(177\) −5.10302 + 12.2865i −0.383567 + 0.923513i
\(178\) 13.8908 1.04116
\(179\) 18.5861 + 8.59883i 1.38919 + 0.642706i 0.964851 0.262798i \(-0.0846453\pi\)
0.424336 + 0.905505i \(0.360507\pi\)
\(180\) 0.664322 + 0.277246i 0.0495156 + 0.0206647i
\(181\) −15.9067 18.7268i −1.18234 1.39195i −0.901825 0.432101i \(-0.857772\pi\)
−0.280510 0.959851i \(-0.590504\pi\)
\(182\) −5.31000 8.82529i −0.393604 0.654174i
\(183\) 4.48692 + 13.6821i 0.331683 + 1.01141i
\(184\) 0.135700 + 2.50283i 0.0100039 + 0.184511i
\(185\) −0.594709 2.14195i −0.0437239 0.157479i
\(186\) −7.31545 3.95467i −0.536395 0.289970i
\(187\) −2.33797 21.4973i −0.170969 1.57203i
\(188\) −0.958263 5.84515i −0.0698885 0.426301i
\(189\) −6.35459 + 5.73287i −0.462228 + 0.417005i
\(190\) 0.960537 1.26357i 0.0696847 0.0916686i
\(191\) 9.24604 23.2058i 0.669020 1.67911i −0.0631611 0.998003i \(-0.520118\pi\)
0.732181 0.681110i \(-0.238503\pi\)
\(192\) −4.03448 + 14.0871i −0.291164 + 1.01665i
\(193\) −0.441900 + 2.69547i −0.0318087 + 0.194024i −0.997951 0.0639861i \(-0.979619\pi\)
0.966142 + 0.258011i \(0.0830669\pi\)
\(194\) −12.8392 0.696122i −0.921802 0.0499786i
\(195\) 2.57688 1.92615i 0.184534 0.137934i
\(196\) −2.21521 2.09836i −0.158229 0.149883i
\(197\) 1.00485 2.98228i 0.0715925 0.212479i −0.905883 0.423528i \(-0.860791\pi\)
0.977475 + 0.211049i \(0.0676880\pi\)
\(198\) 14.1006 + 5.00691i 1.00209 + 0.355826i
\(199\) −2.64827 + 9.53821i −0.187731 + 0.676145i 0.808429 + 0.588594i \(0.200318\pi\)
−0.996160 + 0.0875519i \(0.972096\pi\)
\(200\) 14.6879 + 3.23305i 1.03859 + 0.228611i
\(201\) 1.00651 1.64255i 0.0709936 0.115857i
\(202\) 3.92310 7.39975i 0.276028 0.520645i
\(203\) 3.45985 1.83430i 0.242834 0.128742i
\(204\) −5.97804 1.02985i −0.418546 0.0721043i
\(205\) 2.41073 2.28356i 0.168372 0.159491i
\(206\) 4.73717 + 10.2392i 0.330054 + 0.713400i
\(207\) 0.691656 2.34315i 0.0480734 0.162860i
\(208\) 7.84287 + 8.27962i 0.543805 + 0.574088i
\(209\) −10.2287 + 15.0862i −0.707536 + 1.04354i
\(210\) 0.667668 0.863687i 0.0460735 0.0596000i
\(211\) 17.6383 + 9.35126i 1.21427 + 0.643767i 0.947427 0.319972i \(-0.103673\pi\)
0.266847 + 0.963739i \(0.414018\pi\)
\(212\) −4.15784 + 2.81908i −0.285561 + 0.193615i
\(213\) −3.51094 16.5895i −0.240566 1.13669i
\(214\) −5.99806 1.66535i −0.410019 0.113841i
\(215\) −0.483079 1.21244i −0.0329457 0.0826875i
\(216\) 9.29418 13.0152i 0.632389 0.885575i
\(217\) 4.79134 5.05816i 0.325258 0.343370i
\(218\) 0.859391 + 3.90425i 0.0582053 + 0.264429i
\(219\) −13.3222 + 5.18337i −0.900230 + 0.350260i
\(220\) 1.04055 + 0.170589i 0.0701536 + 0.0115011i
\(221\) −17.5512 + 20.6628i −1.18062 + 1.38993i
\(222\) −12.9487 + 0.596879i −0.869061 + 0.0400599i
\(223\) 14.4952 + 11.0190i 0.970671 + 0.737885i 0.965041 0.262099i \(-0.0844148\pi\)
0.00563004 + 0.999984i \(0.498208\pi\)
\(224\) −5.37174 3.23207i −0.358914 0.215952i
\(225\) −12.4366 7.76005i −0.829104 0.517337i
\(226\) 0.846679 0.0920819i 0.0563203 0.00612520i
\(227\) 13.8231 10.5081i 0.917475 0.697446i −0.0358616 0.999357i \(-0.511418\pi\)
0.953336 + 0.301911i \(0.0976245\pi\)
\(228\) 3.27849 + 3.92373i 0.217123 + 0.259855i
\(229\) −28.7293 + 1.55766i −1.89849 + 0.102933i −0.966042 0.258384i \(-0.916810\pi\)
−0.932443 + 0.361317i \(0.882327\pi\)
\(230\) −0.0336929 + 0.309801i −0.00222165 + 0.0204277i
\(231\) −7.11906 + 10.3188i −0.468400 + 0.678929i
\(232\) −5.57739 + 4.73747i −0.366173 + 0.311030i
\(233\) 9.96567 3.35783i 0.652873 0.219979i 0.0266769 0.999644i \(-0.491507\pi\)
0.626196 + 0.779666i \(0.284611\pi\)
\(234\) −7.60015 17.1514i −0.496837 1.12122i
\(235\) 2.80580i 0.183030i
\(236\) 4.94679 + 2.32715i 0.322008 + 0.151485i
\(237\) 5.80294 2.62786i 0.376942 0.170698i
\(238\) −3.86269 + 8.34906i −0.250381 + 0.541189i
\(239\) 3.43767 + 10.2026i 0.222364 + 0.659954i 0.999530 + 0.0306577i \(0.00976017\pi\)
−0.777166 + 0.629296i \(0.783343\pi\)
\(240\) −0.516423 + 1.09291i −0.0333350 + 0.0705468i
\(241\) −9.26216 + 5.57286i −0.596628 + 0.358979i −0.781614 0.623762i \(-0.785603\pi\)
0.184986 + 0.982741i \(0.440776\pi\)
\(242\) 9.37742 + 1.01986i 0.602803 + 0.0655588i
\(243\) −12.7818 + 8.92338i −0.819950 + 0.572435i
\(244\) 5.70107 1.58290i 0.364974 0.101334i
\(245\) −0.874708 1.15066i −0.0558831 0.0735129i
\(246\) −9.84778 16.6714i −0.627872 1.06293i
\(247\) 22.5508 3.69701i 1.43487 0.235235i
\(248\) −6.71230 + 11.1559i −0.426231 + 0.708402i
\(249\) −15.9097 3.63737i −1.00823 0.230509i
\(250\) 3.51445 + 1.40029i 0.222274 + 0.0885619i
\(251\) −13.6613 11.6040i −0.862295 0.732440i 0.102698 0.994713i \(-0.467252\pi\)
−0.964994 + 0.262272i \(0.915528\pi\)
\(252\) 2.23297 + 2.71688i 0.140664 + 0.171148i
\(253\) 0.193743 3.57338i 0.0121805 0.224657i
\(254\) 6.95890 1.53177i 0.436640 0.0961118i
\(255\) −2.71556 0.939547i −0.170055 0.0588367i
\(256\) 13.8941 + 4.68147i 0.868382 + 0.292592i
\(257\) 16.9969 6.77220i 1.06024 0.422438i 0.226165 0.974089i \(-0.427381\pi\)
0.834075 + 0.551651i \(0.186002\pi\)
\(258\) −7.51987 + 1.17034i −0.468167 + 0.0728619i
\(259\) 2.33460 10.6062i 0.145065 0.659037i
\(260\) −0.741882 1.09419i −0.0460096 0.0678590i
\(261\) 6.66803 2.53237i 0.412741 0.156750i
\(262\) 0.137967 + 0.260233i 0.00852362 + 0.0160772i
\(263\) −6.93184 4.69990i −0.427436 0.289808i 0.328439 0.944525i \(-0.393478\pi\)
−0.755874 + 0.654717i \(0.772788\pi\)
\(264\) 8.84710 21.6918i 0.544502 1.33503i
\(265\) −2.15966 + 0.999165i −0.132667 + 0.0613782i
\(266\) 7.03745 3.25587i 0.431494 0.199630i
\(267\) −8.00526 + 19.6277i −0.489914 + 1.20119i
\(268\) −0.655186 0.444227i −0.0400219 0.0271355i
\(269\) 6.01672 + 11.3487i 0.366846 + 0.691944i 0.996378 0.0850295i \(-0.0270985\pi\)
−0.629533 + 0.776974i \(0.716754\pi\)
\(270\) 1.40209 1.40989i 0.0853284 0.0858034i
\(271\) −3.72504 5.49403i −0.226280 0.333738i 0.697553 0.716533i \(-0.254272\pi\)
−0.923833 + 0.382795i \(0.874962\pi\)
\(272\) 2.18972 9.94802i 0.132772 0.603187i
\(273\) 15.5303 2.41702i 0.939936 0.146285i
\(274\) 22.0717 8.79417i 1.33340 0.531275i
\(275\) −20.3484 6.85618i −1.22706 0.413443i
\(276\) −0.948720 0.328244i −0.0571062 0.0197580i
\(277\) 25.1199 5.52931i 1.50931 0.332224i 0.618203 0.786018i \(-0.287861\pi\)
0.891107 + 0.453794i \(0.149930\pi\)
\(278\) 0.462806 8.53595i 0.0277572 0.511952i
\(279\) 9.80384 8.05766i 0.586940 0.482399i
\(280\) −1.30263 1.10647i −0.0778471 0.0661240i
\(281\) −19.9470 7.94762i −1.18994 0.474115i −0.310706 0.950506i \(-0.600566\pi\)
−0.879234 + 0.476391i \(0.841945\pi\)
\(282\) −15.9495 3.64648i −0.949777 0.217145i
\(283\) −4.51625 + 7.50607i −0.268463 + 0.446190i −0.961536 0.274678i \(-0.911429\pi\)
0.693073 + 0.720867i \(0.256256\pi\)
\(284\) −6.87603 + 1.12727i −0.408017 + 0.0668910i
\(285\) 1.23186 + 2.08543i 0.0729691 + 0.123530i
\(286\) −16.6298 21.8761i −0.983341 1.29356i
\(287\) 15.6310 4.33993i 0.922670 0.256178i
\(288\) −8.97717 7.05668i −0.528985 0.415819i
\(289\) 7.17229 + 0.780034i 0.421900 + 0.0458843i
\(290\) −0.779578 + 0.469056i −0.0457784 + 0.0275439i
\(291\) 8.38286 17.7406i 0.491412 1.03997i
\(292\) 1.87558 + 5.56653i 0.109760 + 0.325756i
\(293\) 4.64357 10.0369i 0.271280 0.586362i −0.723277 0.690558i \(-0.757365\pi\)
0.994557 + 0.104196i \(0.0332270\pi\)
\(294\) −7.67766 + 3.47682i −0.447770 + 0.202772i
\(295\) 2.13408 + 1.46695i 0.124251 + 0.0854090i
\(296\) 20.2942i 1.17958i
\(297\) −15.2009 + 17.0387i −0.882048 + 0.988685i
\(298\) 20.1658 6.79466i 1.16818 0.393604i
\(299\) −3.41957 + 2.90460i −0.197759 + 0.167978i
\(300\) −3.42064 + 4.95809i −0.197490 + 0.286256i
\(301\) 0.689375 6.33870i 0.0397349 0.365357i
\(302\) −3.27613 + 0.177627i −0.188520 + 0.0102213i
\(303\) 8.19496 + 9.80781i 0.470788 + 0.563444i
\(304\) −6.83522 + 5.19600i −0.392026 + 0.298011i
\(305\) 2.78632 0.303031i 0.159544 0.0173515i
\(306\) −8.87002 + 14.2154i −0.507065 + 0.812643i
\(307\) −21.9898 13.2308i −1.25502 0.755123i −0.276452 0.961028i \(-0.589159\pi\)
−0.978572 + 0.205905i \(0.933986\pi\)
\(308\) 4.10094 + 3.11745i 0.233673 + 0.177633i
\(309\) −17.1980 + 0.792755i −0.978362 + 0.0450983i
\(310\) −1.04792 + 1.23371i −0.0595179 + 0.0700698i
\(311\) 11.5240 + 1.88926i 0.653464 + 0.107130i 0.479389 0.877603i \(-0.340858\pi\)
0.174075 + 0.984732i \(0.444307\pi\)
\(312\) −27.3719 + 10.6498i −1.54963 + 0.602927i
\(313\) 2.25330 + 10.2369i 0.127364 + 0.578622i 0.996467 + 0.0839896i \(0.0267663\pi\)
−0.869102 + 0.494632i \(0.835303\pi\)
\(314\) −1.97931 + 2.08953i −0.111699 + 0.117919i
\(315\) 0.835612 + 1.44116i 0.0470814 + 0.0812000i
\(316\) −0.968876 2.43170i −0.0545036 0.136794i
\(317\) 2.80358 + 0.778409i 0.157464 + 0.0437198i 0.345366 0.938468i \(-0.387755\pi\)
−0.187902 + 0.982188i \(0.560169\pi\)
\(318\) 2.87297 + 13.5750i 0.161108 + 0.761250i
\(319\) 8.64766 5.86326i 0.484176 0.328279i
\(320\) 2.52002 + 1.33603i 0.140874 + 0.0746864i
\(321\) 5.80983 7.51552i 0.324273 0.419475i
\(322\) −0.854365 + 1.26009i −0.0476119 + 0.0702223i
\(323\) −14.0363 14.8180i −0.781002 0.824494i
\(324\) 3.42100 + 5.41546i 0.190055 + 0.300859i
\(325\) 11.3037 + 24.4326i 0.627019 + 1.35528i
\(326\) 17.9234 16.9780i 0.992686 0.940322i
\(327\) −6.01198 1.03570i −0.332463 0.0572744i
\(328\) −26.7833 + 14.1996i −1.47886 + 0.784041i
\(329\) 6.42068 12.1107i 0.353983 0.667683i
\(330\) 1.52176 2.48341i 0.0837699 0.136707i
\(331\) −16.0553 3.53404i −0.882480 0.194248i −0.249461 0.968385i \(-0.580253\pi\)
−0.633019 + 0.774136i \(0.718184\pi\)
\(332\) −1.79409 + 6.46172i −0.0984634 + 0.354633i
\(333\) 6.61895 18.6405i 0.362716 1.02149i
\(334\) −0.436241 + 1.29472i −0.0238700 + 0.0708438i
\(335\) −0.272229 0.257869i −0.0148734 0.0140889i
\(336\) −4.73000 + 3.53555i −0.258042 + 0.192880i
\(337\) −2.62861 0.142519i −0.143190 0.00776352i −0.0175953 0.999845i \(-0.505601\pi\)
−0.125594 + 0.992082i \(0.540084\pi\)
\(338\) −3.18656 + 19.4371i −0.173326 + 1.05724i
\(339\) −0.357829 + 1.24942i −0.0194346 + 0.0678594i
\(340\) −0.437044 + 1.09690i −0.0237020 + 0.0594877i
\(341\) 11.2493 14.7982i 0.609183 0.801367i
\(342\) 13.4555 4.29219i 0.727590 0.232095i
\(343\) −3.00765 18.3458i −0.162398 0.990582i
\(344\) 1.28823 + 11.8451i 0.0694568 + 0.638645i
\(345\) −0.418332 0.226147i −0.0225222 0.0121753i
\(346\) −3.42984 12.3532i −0.184389 0.664111i
\(347\) −0.686037 12.6532i −0.0368284 0.679260i −0.957414 0.288719i \(-0.906771\pi\)
0.920586 0.390541i \(-0.127712\pi\)
\(348\) −0.913313 2.78499i −0.0489587 0.149291i
\(349\) 17.8115 + 29.6030i 0.953429 + 1.58461i 0.802990 + 0.595992i \(0.203241\pi\)
0.150439 + 0.988619i \(0.451931\pi\)
\(350\) 5.91375 + 6.96221i 0.316103 + 0.372146i
\(351\) 28.6149 0.854648i 1.52735 0.0456178i
\(352\) −15.1801 7.02307i −0.809103 0.374331i
\(353\) 26.0142 1.38460 0.692299 0.721611i \(-0.256598\pi\)
0.692299 + 0.721611i \(0.256598\pi\)
\(354\) 11.1123 10.2246i 0.590612 0.543431i
\(355\) −3.30065 −0.175180
\(356\) 7.90524 + 3.65735i 0.418977 + 0.193839i
\(357\) −9.57116 10.2695i −0.506559 0.543522i
\(358\) −15.0478 17.7156i −0.795301 0.936300i
\(359\) 11.1415 + 18.5173i 0.588024 + 0.977304i 0.997875 + 0.0651515i \(0.0207531\pi\)
−0.409851 + 0.912152i \(0.634419\pi\)
\(360\) −2.10393 2.29444i −0.110887 0.120928i
\(361\) −0.0972269 1.79325i −0.00511721 0.0943813i
\(362\) 7.46090 + 26.8717i 0.392136 + 1.41235i
\(363\) −6.84526 + 12.6625i −0.359283 + 0.664611i
\(364\) −0.698278 6.42056i −0.0365997 0.336529i
\(365\) 0.450161 + 2.74586i 0.0235625 + 0.143725i
\(366\) 1.89860 16.2326i 0.0992412 0.848490i
\(367\) −9.38809 + 12.3498i −0.490055 + 0.644656i −0.972948 0.231023i \(-0.925793\pi\)
0.482894 + 0.875679i \(0.339586\pi\)
\(368\) 0.623958 1.56602i 0.0325261 0.0816342i
\(369\) 29.2320 4.30716i 1.52176 0.224222i
\(370\) −0.408197 + 2.48989i −0.0212211 + 0.129443i
\(371\) −11.6082 0.629377i −0.602667 0.0326756i
\(372\) −3.12198 4.17671i −0.161867 0.216552i
\(373\) 10.5111 + 9.95664i 0.544244 + 0.515535i 0.909685 0.415299i \(-0.136323\pi\)
−0.365441 + 0.930835i \(0.619082\pi\)
\(374\) −7.83686 + 23.2590i −0.405234 + 1.20269i
\(375\) −4.00398 + 4.15894i −0.206765 + 0.214767i
\(376\) −6.85274 + 24.6813i −0.353403 + 1.27284i
\(377\) −12.7927 2.81590i −0.658860 0.145026i
\(378\) 9.27818 2.87704i 0.477218 0.147979i
\(379\) −3.71236 + 7.00226i −0.190691 + 0.359682i −0.960361 0.278761i \(-0.910076\pi\)
0.769669 + 0.638443i \(0.220421\pi\)
\(380\) 0.879330 0.466191i 0.0451087 0.0239151i
\(381\) −1.84602 + 10.7157i −0.0945746 + 0.548981i
\(382\) −20.5840 + 19.4982i −1.05317 + 0.997617i
\(383\) 7.58185 + 16.3879i 0.387415 + 0.837383i 0.998934 + 0.0461537i \(0.0146964\pi\)
−0.611520 + 0.791229i \(0.709442\pi\)
\(384\) 2.25266 2.60889i 0.114955 0.133135i
\(385\) 1.67811 + 1.77156i 0.0855245 + 0.0902871i
\(386\) 1.73983 2.56606i 0.0885550 0.130609i
\(387\) 2.68002 11.3000i 0.136233 0.574413i
\(388\) −7.12350 3.77664i −0.361641 0.191730i
\(389\) −15.8456 + 10.7436i −0.803403 + 0.544720i −0.892365 0.451315i \(-0.850955\pi\)
0.0889624 + 0.996035i \(0.471645\pi\)
\(390\) −3.57246 + 0.756064i −0.180899 + 0.0382848i
\(391\) 3.86129 + 1.07208i 0.195274 + 0.0542175i
\(392\) 4.88409 + 12.2582i 0.246684 + 0.619130i
\(393\) −0.447219 + 0.0449748i −0.0225592 + 0.00226868i
\(394\) −2.45642 + 2.59321i −0.123753 + 0.130644i
\(395\) −0.266554 1.21097i −0.0134118 0.0609304i
\(396\) 6.70637 + 6.56203i 0.337008 + 0.329754i
\(397\) −34.4470 5.64730i −1.72885 0.283430i −0.786383 0.617739i \(-0.788049\pi\)
−0.942464 + 0.334309i \(0.891497\pi\)
\(398\) 7.27379 8.56337i 0.364602 0.429243i
\(399\) 0.544863 + 11.8203i 0.0272773 + 0.591754i
\(400\) −8.05229 6.12119i −0.402614 0.306059i
\(401\) −15.5413 9.35090i −0.776096 0.466962i 0.0716067 0.997433i \(-0.477187\pi\)
−0.847703 + 0.530471i \(0.822015\pi\)
\(402\) −1.81964 + 1.21234i −0.0907553 + 0.0604661i
\(403\) −23.1685 + 2.51973i −1.15411 + 0.125517i
\(404\) 4.18094 3.17827i 0.208009 0.158125i
\(405\) 1.18416 + 2.79367i 0.0588412 + 0.138819i
\(406\) −4.43826 + 0.240635i −0.220267 + 0.0119425i
\(407\) 3.13272 28.8049i 0.155283 1.42781i
\(408\) 21.5928 + 14.8971i 1.06900 + 0.737516i
\(409\) 23.1573 19.6700i 1.14505 0.972617i 0.145194 0.989403i \(-0.453619\pi\)
0.999859 + 0.0167864i \(0.00534352\pi\)
\(410\) −3.57164 + 1.20343i −0.176391 + 0.0594330i
\(411\) −0.293760 + 36.2554i −0.0144901 + 1.78835i
\(412\) 7.07440i 0.348531i
\(413\) 5.85441 + 11.2153i 0.288076 + 0.551869i
\(414\) −1.82919 + 2.08409i −0.0899000 + 0.102427i
\(415\) −1.33386 + 2.88310i −0.0654767 + 0.141526i
\(416\) 6.69576 + 19.8723i 0.328287 + 0.974320i
\(417\) 11.7946 + 5.57321i 0.577583 + 0.272921i
\(418\) 17.7267 10.6658i 0.867040 0.521681i
\(419\) −22.0273 2.39562i −1.07611 0.117034i −0.447138 0.894465i \(-0.647557\pi\)
−0.628968 + 0.777431i \(0.716522\pi\)
\(420\) 0.607372 0.315731i 0.0296367 0.0154061i
\(421\) 20.3339 5.64567i 0.991012 0.275153i 0.266063 0.963956i \(-0.414277\pi\)
0.724949 + 0.688803i \(0.241863\pi\)
\(422\) −13.7129 18.0391i −0.667536 0.878128i
\(423\) 14.3441 20.4351i 0.697436 0.993590i
\(424\) 21.4378 3.51455i 1.04111 0.170682i
\(425\) 12.3964 20.6030i 0.601314 0.999392i
\(426\) −4.28959 + 18.7624i −0.207831 + 0.909041i
\(427\) 12.7200 + 5.06813i 0.615566 + 0.245264i
\(428\) −2.97502 2.52700i −0.143803 0.122147i
\(429\) 40.4947 10.8907i 1.95510 0.525808i
\(430\) −0.0801990 + 1.47918i −0.00386754 + 0.0713325i
\(431\) −23.4086 + 5.15262i −1.12755 + 0.248193i −0.739311 0.673364i \(-0.764849\pi\)
−0.388242 + 0.921557i \(0.626918\pi\)
\(432\) −9.34848 + 5.31970i −0.449779 + 0.255944i
\(433\) 8.46399 + 2.85185i 0.406753 + 0.137051i 0.515238 0.857047i \(-0.327703\pi\)
−0.108485 + 0.994098i \(0.534600\pi\)
\(434\) −7.34630 + 2.92703i −0.352633 + 0.140502i
\(435\) −0.213506 1.37186i −0.0102368 0.0657757i
\(436\) −0.538885 + 2.44818i −0.0258079 + 0.117247i
\(437\) −1.89558 2.79578i −0.0906781 0.133740i
\(438\) 16.1938 + 1.00965i 0.773768 + 0.0482431i
\(439\) 2.88504 + 5.44176i 0.137695 + 0.259721i 0.942764 0.333461i \(-0.108216\pi\)
−0.805069 + 0.593182i \(0.797872\pi\)
\(440\) −3.77422 2.55899i −0.179929 0.121995i
\(441\) −0.488114 12.8522i −0.0232435 0.612011i
\(442\) 27.9274 12.9206i 1.32837 0.614570i
\(443\) 6.10538 2.82465i 0.290075 0.134203i −0.269455 0.963013i \(-0.586844\pi\)
0.559530 + 0.828810i \(0.310981\pi\)
\(444\) −7.52626 3.06963i −0.357180 0.145678i
\(445\) 3.41509 + 2.31549i 0.161891 + 0.109765i
\(446\) −9.68033 18.2590i −0.458377 0.864591i
\(447\) −2.02072 + 32.4101i −0.0955766 + 1.53295i
\(448\) 7.81985 + 11.5334i 0.369453 + 0.544903i
\(449\) 0.0857041 0.389357i 0.00404462 0.0183749i −0.974555 0.224148i \(-0.928040\pi\)
0.978600 + 0.205773i \(0.0659710\pi\)
\(450\) 9.11283 + 13.9208i 0.429583 + 0.656235i
\(451\) 40.2072 16.0200i 1.89328 0.754353i
\(452\) 0.506089 + 0.170521i 0.0238044 + 0.00802065i
\(453\) 1.63705 4.73154i 0.0769153 0.222307i
\(454\) −19.2475 + 4.23669i −0.903329 + 0.198838i
\(455\) 0.165630 3.05486i 0.00776484 0.143214i
\(456\) −5.74275 21.3532i −0.268929 0.999955i
\(457\) 3.14777 + 2.67374i 0.147246 + 0.125072i 0.717982 0.696062i \(-0.245066\pi\)
−0.570736 + 0.821134i \(0.693342\pi\)
\(458\) 30.3370 + 12.0874i 1.41755 + 0.564805i
\(459\) −14.9746 20.7257i −0.698956 0.967392i
\(460\) −0.100743 + 0.167437i −0.00469718 + 0.00780678i
\(461\) −8.83755 + 1.44884i −0.411606 + 0.0674793i −0.364028 0.931388i \(-0.618599\pi\)
−0.0475781 + 0.998868i \(0.515150\pi\)
\(462\) 12.2513 7.23680i 0.569981 0.336686i
\(463\) −11.3201 14.8913i −0.526090 0.692060i 0.453912 0.891046i \(-0.350028\pi\)
−0.980002 + 0.198987i \(0.936235\pi\)
\(464\) 4.74220 1.31667i 0.220151 0.0611246i
\(465\) −1.13931 2.19170i −0.0528343 0.101637i
\(466\) −11.8661 1.29052i −0.549687 0.0597821i
\(467\) 1.37665 0.828305i 0.0637039 0.0383294i −0.483346 0.875430i \(-0.660579\pi\)
0.547049 + 0.837100i \(0.315751\pi\)
\(468\) 0.190615 11.7619i 0.00881119 0.543696i
\(469\) −0.584925 1.73600i −0.0270093 0.0801608i
\(470\) −1.33720 + 2.89031i −0.0616805 + 0.133320i
\(471\) −1.81183 4.00096i −0.0834848 0.184354i
\(472\) −15.1897 18.1162i −0.699161 0.833866i
\(473\) 17.0114i 0.782184i
\(474\) −7.23012 0.0585822i −0.332090 0.00269077i
\(475\) −19.2065 + 6.47143i −0.881256 + 0.296930i
\(476\) −4.39651 + 3.73443i −0.201514 + 0.171167i
\(477\) −20.8372 3.76378i −0.954070 0.172331i
\(478\) 1.32120 12.1483i 0.0604305 0.555649i
\(479\) −3.56721 + 0.193409i −0.162990 + 0.00883706i −0.135453 0.990784i \(-0.543249\pi\)
−0.0275367 + 0.999621i \(0.508766\pi\)
\(480\) −1.70561 + 1.42513i −0.0778501 + 0.0650480i
\(481\) −28.9195 + 21.9840i −1.31861 + 1.00238i
\(482\) 12.1971 1.32651i 0.555561 0.0604209i
\(483\) −1.28814 1.93341i −0.0586125 0.0879732i
\(484\) 5.06816 + 3.04941i 0.230371 + 0.138610i
\(485\) −3.04052 2.31134i −0.138063 0.104953i
\(486\) 17.4195 3.10057i 0.790163 0.140645i
\(487\) −22.1431 + 26.0688i −1.00340 + 1.18129i −0.0200049 + 0.999800i \(0.506368\pi\)
−0.983393 + 0.181491i \(0.941908\pi\)
\(488\) −25.2501 4.13954i −1.14302 0.187388i
\(489\) 13.6606 + 35.1102i 0.617753 + 1.58774i
\(490\) 0.352668 + 1.60219i 0.0159319 + 0.0723795i
\(491\) −2.99053 + 3.15706i −0.134961 + 0.142476i −0.789972 0.613143i \(-0.789905\pi\)
0.655012 + 0.755619i \(0.272664\pi\)
\(492\) −1.21489 12.0806i −0.0547713 0.544634i
\(493\) 4.33048 + 10.8687i 0.195035 + 0.489501i
\(494\) −24.9919 6.93897i −1.12444 0.312199i
\(495\) 2.63206 + 3.58143i 0.118302 + 0.160973i
\(496\) 7.24747 4.91391i 0.325421 0.220641i
\(497\) −14.2466 7.55306i −0.639046 0.338801i
\(498\) 14.6553 + 11.3292i 0.656721 + 0.507674i
\(499\) 24.5656 36.2315i 1.09971 1.62195i 0.384350 0.923188i \(-0.374426\pi\)
0.715357 0.698759i \(-0.246264\pi\)
\(500\) 1.63139 + 1.72223i 0.0729578 + 0.0770207i
\(501\) −1.57803 1.36255i −0.0705012 0.0608744i
\(502\) 8.54250 + 18.4643i 0.381271 + 0.824103i
\(503\) −13.0753 + 12.3856i −0.582998 + 0.552245i −0.921330 0.388782i \(-0.872896\pi\)
0.338332 + 0.941027i \(0.390137\pi\)
\(504\) −3.83068 14.7180i −0.170632 0.655593i
\(505\) 2.19799 1.16530i 0.0978091 0.0518551i
\(506\) −1.90260 + 3.58868i −0.0845807 + 0.159536i
\(507\) −25.6283 15.7042i −1.13819 0.697449i
\(508\) 4.36361 + 0.960503i 0.193604 + 0.0426154i
\(509\) −0.306270 + 1.10309i −0.0135752 + 0.0488934i −0.970027 0.242996i \(-0.921870\pi\)
0.956452 + 0.291889i \(0.0942838\pi\)
\(510\) 2.34958 + 2.26204i 0.104041 + 0.100165i
\(511\) −4.34048 + 12.8821i −0.192011 + 0.569869i
\(512\) −14.9710 14.1813i −0.661631 0.626730i
\(513\) −1.68954 + 21.4862i −0.0745952 + 0.948639i
\(514\) −20.7364 1.12429i −0.914643 0.0495905i
\(515\) −0.542153 + 3.30699i −0.0238901 + 0.145723i
\(516\) −4.58770 1.31390i −0.201962 0.0578410i
\(517\) 13.5365 33.9740i 0.595334 1.49418i
\(518\) −7.45966 + 9.81301i −0.327759 + 0.431159i
\(519\) 19.4316 + 2.27277i 0.852955 + 0.0997634i
\(520\) 0.924905 + 5.64167i 0.0405598 + 0.247404i
\(521\) −0.394969 3.63168i −0.0173039 0.159107i 0.982298 0.187326i \(-0.0599820\pi\)
−0.999602 + 0.0282188i \(0.991016\pi\)
\(522\) −8.07576 0.569232i −0.353466 0.0249146i
\(523\) −6.08189 21.9050i −0.265942 0.957838i −0.969072 0.246777i \(-0.920629\pi\)
0.703130 0.711061i \(-0.251785\pi\)
\(524\) 0.00999919 + 0.184424i 0.000436817 + 0.00805661i
\(525\) −13.2457 + 4.34381i −0.578090 + 0.189579i
\(526\) 4.90072 + 8.14507i 0.213682 + 0.355142i
\(527\) 13.4756 + 15.8647i 0.587008 + 0.691079i
\(528\) −11.5258 + 10.7420i −0.501596 + 0.467484i
\(529\) −20.2723 9.37898i −0.881406 0.407782i
\(530\) 2.70089 0.117319
\(531\) 8.04333 + 21.5941i 0.349051 + 0.937104i
\(532\) 4.86226 0.210806
\(533\) −49.2480 22.7845i −2.13317 0.986908i
\(534\) 17.6006 16.4037i 0.761653 0.709856i
\(535\) −1.19704 1.40926i −0.0517525 0.0609277i
\(536\) 1.76486 + 2.93323i 0.0762306 + 0.126696i
\(537\) 33.7042 11.0530i 1.45444 0.476973i
\(538\) −0.789313 14.5580i −0.0340297 0.627641i
\(539\) −5.04008 18.1527i −0.217092 0.781894i
\(540\) 1.16914 0.433209i 0.0503119 0.0186424i
\(541\) 2.75201 + 25.3043i 0.118318 + 1.08792i 0.891276 + 0.453461i \(0.149811\pi\)
−0.772958 + 0.634457i \(0.781224\pi\)
\(542\) 1.21887 + 7.43480i 0.0523551 + 0.319352i
\(543\) −42.2694 4.94392i −1.81396 0.212164i
\(544\) 11.3348 14.9107i 0.485975 0.639290i
\(545\) −0.439525 + 1.10313i −0.0188272 + 0.0472527i
\(546\) −17.1500 4.91167i −0.733951 0.210200i
\(547\) 2.85815 17.4339i 0.122206 0.745421i −0.852633 0.522510i \(-0.824996\pi\)
0.974839 0.222911i \(-0.0715560\pi\)
\(548\) 14.8764 + 0.806577i 0.635490 + 0.0344553i
\(549\) 21.8424 + 12.0375i 0.932213 + 0.513750i
\(550\) 17.6937 + 16.7604i 0.754464 + 0.714666i
\(551\) 3.14884 9.34543i 0.134145 0.398129i
\(552\) 3.12754 + 3.01102i 0.133117 + 0.128157i
\(553\) 1.62060 5.83687i 0.0689149 0.248209i
\(554\) −28.5117 6.27590i −1.21135 0.266637i
\(555\) −3.28297 2.01171i −0.139354 0.0853922i
\(556\) 2.51084 4.73595i 0.106483 0.200849i
\(557\) 32.7604 17.3685i 1.38810 0.735926i 0.404208 0.914667i \(-0.367547\pi\)
0.983896 + 0.178741i \(0.0572023\pi\)
\(558\) −13.9393 + 3.62799i −0.590097 + 0.153585i
\(559\) −15.4839 + 14.6671i −0.654899 + 0.620353i
\(560\) 0.482649 + 1.04323i 0.0203956 + 0.0440844i
\(561\) −28.3485 24.4776i −1.19688 1.03345i
\(562\) 16.7601 + 17.6934i 0.706983 + 0.746353i
\(563\) 16.2731 24.0011i 0.685831 1.01153i −0.312274 0.949992i \(-0.601091\pi\)
0.998105 0.0615332i \(-0.0195990\pi\)
\(564\) −8.11674 6.27460i −0.341776 0.264208i
\(565\) 0.223508 + 0.118496i 0.00940304 + 0.00498518i
\(566\) 8.22955 5.57978i 0.345914 0.234535i
\(567\) −1.28175 + 14.7681i −0.0538284 + 0.620202i
\(568\) 29.0342 + 8.06132i 1.21825 + 0.338245i
\(569\) 2.36959 + 5.94722i 0.0993384 + 0.249320i 0.970244 0.242130i \(-0.0778461\pi\)
−0.870905 + 0.491451i \(0.836467\pi\)
\(570\) −0.275079 2.73533i −0.0115218 0.114570i
\(571\) 4.51235 4.76363i 0.188836 0.199352i −0.624702 0.780863i \(-0.714780\pi\)
0.813538 + 0.581511i \(0.197538\pi\)
\(572\) −3.70417 16.8282i −0.154879 0.703623i
\(573\) −15.6884 40.3221i −0.655393 1.68448i
\(574\) −18.1702 2.97885i −0.758407 0.124335i
\(575\) 2.57612 3.03284i 0.107432 0.126478i
\(576\) 11.5235 + 22.6137i 0.480147 + 0.942237i
\(577\) 7.57644 + 5.75946i 0.315411 + 0.239770i 0.750887 0.660431i \(-0.229627\pi\)
−0.435475 + 0.900201i \(0.643420\pi\)
\(578\) −7.01657 4.22173i −0.291851 0.175601i
\(579\) 2.62317 + 3.93720i 0.109015 + 0.163624i
\(580\) −0.567157 + 0.0616820i −0.0235499 + 0.00256121i
\(581\) −12.3549 + 9.39195i −0.512568 + 0.389644i
\(582\) −17.0902 + 14.2798i −0.708413 + 0.591918i
\(583\) −30.9706 + 1.67918i −1.28267 + 0.0695445i
\(584\) 2.74648 25.2535i 0.113650 1.04500i
\(585\) 0.990492 5.48361i 0.0409518 0.226719i
\(586\) −9.56686 + 8.12616i −0.395203 + 0.335689i
\(587\) −42.5832 + 14.3480i −1.75760 + 0.592204i −0.998286 0.0585224i \(-0.981361\pi\)
−0.759312 + 0.650726i \(0.774465\pi\)
\(588\) −5.28478 0.0428200i −0.217941 0.00176587i
\(589\) 17.5454i 0.722946i
\(590\) −1.49923 2.52820i −0.0617223 0.104084i
\(591\) −2.24857 4.96539i −0.0924940 0.204249i
\(592\) 5.73098 12.3873i 0.235542 0.509115i
\(593\) 9.13588 + 27.1143i 0.375166 + 1.11345i 0.954461 + 0.298335i \(0.0964311\pi\)
−0.579296 + 0.815118i \(0.696672\pi\)
\(594\) 23.7792 10.3074i 0.975671 0.422916i
\(595\) −2.34138 + 1.40876i −0.0959871 + 0.0577535i
\(596\) 13.2654 + 1.44270i 0.543370 + 0.0590951i
\(597\) 7.90815 + 15.2129i 0.323659 + 0.622624i
\(598\) 4.90685 1.36238i 0.200656 0.0557118i
\(599\) −14.4123 18.9591i −0.588870 0.774646i 0.401083 0.916042i \(-0.368634\pi\)
−0.989953 + 0.141396i \(0.954841\pi\)
\(600\) 22.4285 13.2485i 0.915639 0.540866i
\(601\) 14.8489 2.43435i 0.605699 0.0992994i 0.148875 0.988856i \(-0.452435\pi\)
0.456825 + 0.889557i \(0.348987\pi\)
\(602\) −3.73106 + 6.20107i −0.152067 + 0.252737i
\(603\) −0.664381 3.26982i −0.0270557 0.133157i
\(604\) −1.91121 0.761497i −0.0777662 0.0309849i
\(605\) 2.13546 + 1.81388i 0.0868189 + 0.0737446i
\(606\) −3.76754 14.0088i −0.153046 0.569069i
\(607\) −2.15699 + 39.7833i −0.0875494 + 1.61475i 0.543773 + 0.839232i \(0.316995\pi\)
−0.631322 + 0.775521i \(0.717487\pi\)
\(608\) −15.4183 + 3.39383i −0.625295 + 0.137638i
\(609\) 2.21775 6.40993i 0.0898678 0.259744i
\(610\) −3.01467 1.01576i −0.122060 0.0411269i
\(611\) −42.5945 + 16.9712i −1.72319 + 0.686581i
\(612\) −8.79076 + 5.75458i −0.355345 + 0.232615i
\(613\) 3.69391 16.7816i 0.149196 0.677803i −0.841335 0.540514i \(-0.818230\pi\)
0.990531 0.137290i \(-0.0438391\pi\)
\(614\) 16.3465 + 24.1093i 0.659692 + 0.972973i
\(615\) 0.357896 5.74027i 0.0144318 0.231470i
\(616\) −10.4348 19.6821i −0.420430 0.793015i
\(617\) 19.9744 + 13.5430i 0.804141 + 0.545221i 0.892595 0.450859i \(-0.148882\pi\)
−0.0884541 + 0.996080i \(0.528193\pi\)
\(618\) 18.0939 + 7.37968i 0.727841 + 0.296854i
\(619\) 27.3777 12.6663i 1.10040 0.509101i 0.216269 0.976334i \(-0.430611\pi\)
0.884134 + 0.467233i \(0.154749\pi\)
\(620\) −0.921198 + 0.426191i −0.0369962 + 0.0171163i
\(621\) −1.89065 3.78571i −0.0758692 0.151915i
\(622\) −10.9707 7.43829i −0.439884 0.298248i
\(623\) 9.44188 + 17.8093i 0.378281 + 0.713513i
\(624\) 19.7149 + 1.22919i 0.789228 + 0.0492070i
\(625\) −13.0801 19.2917i −0.523205 0.771669i
\(626\) 2.55755 11.6191i 0.102220 0.464392i
\(627\) 4.85487 + 31.1945i 0.193885 + 1.24579i
\(628\) −1.67658 + 0.668012i −0.0669030 + 0.0266566i
\(629\) 30.7475 + 10.3600i 1.22598 + 0.413082i
\(630\) −0.173948 1.88280i −0.00693024 0.0750127i
\(631\) 23.4443 5.16049i 0.933304 0.205436i 0.277810 0.960636i \(-0.410392\pi\)
0.655494 + 0.755200i \(0.272460\pi\)
\(632\) −0.612849 + 11.3033i −0.0243778 + 0.449623i
\(633\) 33.3920 8.98047i 1.32721 0.356942i
\(634\) −2.51704 2.13799i −0.0999644 0.0849106i
\(635\) 1.96620 + 0.783405i 0.0780262 + 0.0310885i
\(636\) −1.93921 + 8.48198i −0.0768946 + 0.336332i
\(637\) −12.1772 + 20.2387i −0.482479 + 0.801887i
\(638\) −11.7025 + 1.91852i −0.463304 + 0.0759549i
\(639\) −24.0392 16.8740i −0.950975 0.667523i
\(640\) −0.406027 0.534120i −0.0160496 0.0211129i
\(641\) 41.2480 11.4524i 1.62920 0.452345i 0.671709 0.740815i \(-0.265561\pi\)
0.957489 + 0.288471i \(0.0931468\pi\)
\(642\) −9.56659 + 4.97301i −0.377563 + 0.196269i
\(643\) 20.3046 + 2.20826i 0.800734 + 0.0870851i 0.499331 0.866411i \(-0.333579\pi\)
0.301404 + 0.953497i \(0.402545\pi\)
\(644\) −0.817993 + 0.492170i −0.0322334 + 0.0193942i
\(645\) −2.04387 0.965774i −0.0804772 0.0380273i
\(646\) 7.39708 + 21.9538i 0.291034 + 0.863759i
\(647\) 7.40311 16.0016i 0.291046 0.629087i −0.705803 0.708409i \(-0.749413\pi\)
0.996849 + 0.0793220i \(0.0252755\pi\)
\(648\) −3.59335 27.4668i −0.141160 1.07900i
\(649\) 18.7632 + 28.0583i 0.736520 + 1.10138i
\(650\) 30.5557i 1.19849i
\(651\) 0.0977744 12.0672i 0.00383208 0.472949i
\(652\) 14.6704 4.94303i 0.574537 0.193584i
\(653\) −14.6338 + 12.4301i −0.572665 + 0.486426i −0.886296 0.463119i \(-0.846730\pi\)
0.313631 + 0.949545i \(0.398455\pi\)
\(654\) 5.69946 + 3.93211i 0.222866 + 0.153758i
\(655\) −0.00945932 + 0.0869770i −0.000369606 + 0.00339847i
\(656\) 20.3580 1.10378i 0.794848 0.0430954i
\(657\) −10.7591 + 22.2999i −0.419753 + 0.870002i
\(658\) −12.3858 + 9.41546i −0.482850 + 0.367053i
\(659\) −29.5807 + 3.21709i −1.15230 + 0.125320i −0.664260 0.747501i \(-0.731253\pi\)
−0.488040 + 0.872821i \(0.662288\pi\)
\(660\) 1.51990 1.01264i 0.0591618 0.0394168i
\(661\) 38.5144 + 23.1734i 1.49804 + 0.901339i 0.999404 + 0.0345257i \(0.0109921\pi\)
0.498633 + 0.866813i \(0.333836\pi\)
\(662\) 14.8546 + 11.2922i 0.577341 + 0.438883i
\(663\) 2.16223 + 46.9075i 0.0839742 + 1.82174i
\(664\) 18.7749 22.1035i 0.728607 0.857782i
\(665\) 2.27291 + 0.372624i 0.0881395 + 0.0144497i
\(666\) −15.7021 + 16.0475i −0.608443 + 0.621827i
\(667\) 0.416228 + 1.89094i 0.0161164 + 0.0732176i
\(668\) −0.589155 + 0.621963i −0.0227951 + 0.0240645i
\(669\) 31.3788 3.15562i 1.21317 0.122003i
\(670\) 0.157532 + 0.395376i 0.00608599 + 0.0152747i
\(671\) 35.2001 + 9.77326i 1.35889 + 0.377293i
\(672\) −10.6231 + 2.24824i −0.409796 + 0.0867279i
\(673\) −0.567066 + 0.384480i −0.0218588 + 0.0148206i −0.572068 0.820207i \(-0.693858\pi\)
0.550209 + 0.835027i \(0.314548\pi\)
\(674\) 2.63986 + 1.39957i 0.101684 + 0.0539093i
\(675\) −24.9219 + 4.85385i −0.959243 + 0.186825i
\(676\) −6.93114 + 10.2227i −0.266582 + 0.393179i
\(677\) 13.4218 + 14.1692i 0.515840 + 0.544566i 0.930922 0.365218i \(-0.119006\pi\)
−0.415082 + 0.909784i \(0.636247\pi\)
\(678\) 0.964063 1.11652i 0.0370246 0.0428797i
\(679\) −7.83461 16.9342i −0.300665 0.649876i
\(680\) 3.70711 3.51156i 0.142161 0.134662i
\(681\) 5.10588 29.6383i 0.195658 1.13574i
\(682\) −18.6407 + 9.88267i −0.713789 + 0.378427i
\(683\) −17.4128 + 32.8440i −0.666283 + 1.25674i 0.287941 + 0.957648i \(0.407029\pi\)
−0.954224 + 0.299094i \(0.903316\pi\)
\(684\) 8.78762 + 1.10006i 0.336003 + 0.0420620i
\(685\) 6.89231 + 1.51711i 0.263341 + 0.0579658i
\(686\) −5.64509 + 20.3318i −0.215531 + 0.776271i
\(687\) −34.5626 + 35.9002i −1.31865 + 1.36968i
\(688\) 2.55867 7.59387i 0.0975485 0.289514i
\(689\) 28.2311 + 26.7419i 1.07552 + 1.01879i
\(690\) 0.323154 + 0.432328i 0.0123023 + 0.0164585i
\(691\) −15.5632 0.843814i −0.592053 0.0321002i −0.244321 0.969694i \(-0.578565\pi\)
−0.347732 + 0.937594i \(0.613048\pi\)
\(692\) 1.30059 7.93324i 0.0494410 0.301577i
\(693\) 3.16519 + 21.4816i 0.120236 + 0.816019i
\(694\) −5.32362 + 13.3613i −0.202082 + 0.507187i
\(695\) 1.53666 2.02144i 0.0582888 0.0766776i
\(696\) −1.47244 + 12.5891i −0.0558129 + 0.477187i
\(697\) 7.84097 + 47.8278i 0.296998 + 1.81161i
\(698\) −4.23969 38.9833i −0.160475 1.47554i
\(699\) 8.66194 16.0231i 0.327625 0.606049i
\(700\) 1.53241 + 5.51924i 0.0579197 + 0.208608i
\(701\) −0.810681 14.9521i −0.0306190 0.564734i −0.973087 0.230438i \(-0.925984\pi\)
0.942468 0.334296i \(-0.108499\pi\)
\(702\) −29.8841 12.7570i −1.12790 0.481483i
\(703\) −14.0998 23.4340i −0.531783 0.883831i
\(704\) 24.0680 + 28.3351i 0.907098 + 1.06792i
\(705\) −3.31338 3.55515i −0.124789 0.133895i
\(706\) −26.7978 12.3980i −1.00855 0.466604i
\(707\) 12.1538 0.457090
\(708\) 9.01607 2.89301i 0.338845 0.108726i
\(709\) −40.9989 −1.53975 −0.769873 0.638197i \(-0.779681\pi\)
−0.769873 + 0.638197i \(0.779681\pi\)
\(710\) 3.40006 + 1.57304i 0.127602 + 0.0590350i
\(711\) 4.24949 10.1824i 0.159368 0.381870i
\(712\) −24.3857 28.7091i −0.913893 1.07592i
\(713\) 1.77599 + 2.95172i 0.0665113 + 0.110543i
\(714\) 4.96514 + 15.1403i 0.185816 + 0.566612i
\(715\) −0.441900 8.15037i −0.0165261 0.304807i
\(716\) −3.89928 14.0439i −0.145723 0.524847i
\(717\) 16.4041 + 8.86791i 0.612622 + 0.331178i
\(718\) −2.65201 24.3848i −0.0989722 0.910034i
\(719\) 3.51465 + 21.4384i 0.131074 + 0.799517i 0.967767 + 0.251845i \(0.0810374\pi\)
−0.836693 + 0.547672i \(0.815514\pi\)
\(720\) 0.636271 + 1.99464i 0.0237124 + 0.0743357i
\(721\) −9.90767 + 13.0333i −0.368981 + 0.485386i
\(722\) −0.754477 + 1.89359i −0.0280787 + 0.0704723i
\(723\) −5.15481 + 17.9989i −0.191709 + 0.669387i
\(724\) −2.82916 + 17.2571i −0.105145 + 0.641355i
\(725\) 11.6006 + 0.628965i 0.430834 + 0.0233592i
\(726\) 13.0862 9.78159i 0.485674 0.363029i
\(727\) 25.8953 + 24.5294i 0.960404 + 0.909743i 0.995976 0.0896238i \(-0.0285665\pi\)
−0.0355713 + 0.999367i \(0.511325\pi\)
\(728\) −8.91799 + 26.4676i −0.330523 + 0.980956i
\(729\) −5.65773 + 26.4006i −0.209546 + 0.977799i
\(730\) 0.844913 3.04310i 0.0312716 0.112630i
\(731\) 18.6040 + 4.09505i 0.688094 + 0.151461i
\(732\) 5.35442 8.73806i 0.197905 0.322968i
\(733\) 2.05010 3.86690i 0.0757222 0.142827i −0.842760 0.538289i \(-0.819071\pi\)
0.918482 + 0.395462i \(0.129416\pi\)
\(734\) 15.5566 8.24758i 0.574204 0.304424i
\(735\) −2.46713 0.425021i −0.0910016 0.0156771i
\(736\) 2.25034 2.13163i 0.0829486 0.0785731i
\(737\) −2.05220 4.43576i −0.0755938 0.163393i
\(738\) −32.1652 9.49461i −1.18402 0.349502i
\(739\) −18.6937 19.7347i −0.687659 0.725953i 0.284913 0.958553i \(-0.408035\pi\)
−0.972572 + 0.232600i \(0.925277\pi\)
\(740\) −0.887877 + 1.30952i −0.0326390 + 0.0481389i
\(741\) 24.2076 31.3146i 0.889289 1.15037i
\(742\) 11.6579 + 6.18061i 0.427973 + 0.226897i
\(743\) 17.1277 11.6129i 0.628355 0.426035i −0.205009 0.978760i \(-0.565722\pi\)
0.833364 + 0.552725i \(0.186412\pi\)
\(744\) 4.66911 + 22.0619i 0.171178 + 0.808829i
\(745\) 6.09045 + 1.69100i 0.223137 + 0.0619536i
\(746\) −6.08251 15.2660i −0.222697 0.558926i
\(747\) −24.4540 + 14.1789i −0.894726 + 0.518780i
\(748\) −10.5839 + 11.1733i −0.386985 + 0.408535i
\(749\) −1.94188 8.82205i −0.0709547 0.322351i
\(750\) 6.10666 2.37597i 0.222984 0.0867580i
\(751\) −15.9682 2.61786i −0.582689 0.0955270i −0.136774 0.990602i \(-0.543673\pi\)
−0.445915 + 0.895075i \(0.647122\pi\)
\(752\) 11.1527 13.1300i 0.406697 0.478801i
\(753\) −31.0131 + 1.42957i −1.13018 + 0.0520964i
\(754\) 11.8360 + 8.99752i 0.431043 + 0.327670i
\(755\) −0.835055 0.502436i −0.0303908 0.0182855i
\(756\) 6.03771 + 0.805558i 0.219589 + 0.0292979i
\(757\) −10.3011 + 1.12031i −0.374401 + 0.0407185i −0.293385 0.955994i \(-0.594782\pi\)
−0.0810155 + 0.996713i \(0.525816\pi\)
\(758\) 7.16134 5.44391i 0.260112 0.197732i
\(759\) −3.97433 4.75652i −0.144259 0.172651i
\(760\) −4.29775 + 0.233017i −0.155896 + 0.00845243i
\(761\) −5.36812 + 49.3591i −0.194594 + 1.78926i 0.336227 + 0.941781i \(0.390849\pi\)
−0.530822 + 0.847484i \(0.678117\pi\)
\(762\) 7.00854 10.1586i 0.253893 0.368009i
\(763\) −4.42147 + 3.75563i −0.160068 + 0.135963i
\(764\) −16.8481 + 5.67679i −0.609544 + 0.205379i
\(765\) −4.55032 + 2.01634i −0.164517 + 0.0729010i
\(766\) 20.4949i 0.740510i
\(767\) 9.36135 41.2701i 0.338019 1.49018i
\(768\) 23.1332 10.4758i 0.834747 0.378015i
\(769\) −17.8362 + 38.5523i −0.643189 + 1.39023i 0.261936 + 0.965085i \(0.415639\pi\)
−0.905125 + 0.425146i \(0.860223\pi\)
\(770\) −0.884358 2.62468i −0.0318700 0.0945869i
\(771\) 13.5390 28.6526i 0.487596 1.03190i
\(772\) 1.66576 1.00226i 0.0599521 0.0360720i
\(773\)