Properties

Label 819.2.fy.a.50.1
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.1
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.727236 - 2.71408i) q^{2} +(1.68275 + 0.410318i) q^{3} +(-5.10531 + 2.94755i) q^{4} +(-0.0876862 - 0.327249i) q^{5} +(-0.110119 - 4.86551i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(7.73897 + 7.73897i) q^{8} +(2.66328 + 1.38092i) q^{9} +O(q^{10})\) \(q+(-0.727236 - 2.71408i) q^{2} +(1.68275 + 0.410318i) q^{3} +(-5.10531 + 2.94755i) q^{4} +(-0.0876862 - 0.327249i) q^{5} +(-0.110119 - 4.86551i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(7.73897 + 7.73897i) q^{8} +(2.66328 + 1.38092i) q^{9} +(-0.824413 + 0.475975i) q^{10} +(-0.128056 + 0.0343126i) q^{11} +(-9.80038 + 2.86519i) q^{12} +(-3.19064 + 1.67924i) q^{13} +(2.43338 + 1.40491i) q^{14} +(-0.0132775 - 0.586658i) q^{15} +(9.48102 - 16.4216i) q^{16} +(-2.30345 + 3.98969i) q^{17} +(1.81110 - 8.23261i) q^{18} +(1.40069 - 0.375314i) q^{19} +(1.41225 + 1.41225i) q^{20} +(-1.48002 + 0.899744i) q^{21} +(0.186254 + 0.322601i) q^{22} +6.68614 q^{23} +(9.84729 + 16.1982i) q^{24} +(4.23072 - 2.44261i) q^{25} +(6.87793 + 7.43845i) q^{26} +(3.91501 + 3.41653i) q^{27} +(1.52577 - 5.69423i) q^{28} +(8.80141 + 5.08150i) q^{29} +(-1.58258 + 0.462675i) q^{30} +(3.93871 - 1.05538i) q^{31} +(-30.3212 - 8.12455i) q^{32} +(-0.229565 + 0.00519563i) q^{33} +(12.5035 + 3.35030i) q^{34} +(0.293404 + 0.169397i) q^{35} +(-17.6672 + 0.800115i) q^{36} +(1.96258 + 0.525872i) q^{37} +(-2.03726 - 3.52865i) q^{38} +(-6.05806 + 1.51655i) q^{39} +(1.85397 - 3.21117i) q^{40} +(-3.40817 + 3.40817i) q^{41} +(3.51830 + 3.36257i) q^{42} +0.860926i q^{43} +(0.552628 - 0.552628i) q^{44} +(0.218373 - 0.992645i) q^{45} +(-4.86240 - 18.1467i) q^{46} +(2.32971 - 8.69461i) q^{47} +(22.6922 - 23.7432i) q^{48} -1.00000i q^{49} +(-9.70617 - 9.70617i) q^{50} +(-5.51316 + 5.76849i) q^{51} +(11.3396 - 17.9776i) q^{52} +9.59720i q^{53} +(6.42561 - 13.1103i) q^{54} +(0.0224575 + 0.0388976i) q^{55} -10.9446 q^{56} +(2.51101 - 0.0568304i) q^{57} +(7.39089 - 27.5832i) q^{58} +(-1.80479 + 6.73555i) q^{59} +(1.79699 + 2.95593i) q^{60} -10.5815 q^{61} +(-5.72875 - 9.92248i) q^{62} +(-2.85968 + 0.906763i) q^{63} +50.2787i q^{64} +(0.829304 + 0.896889i) q^{65} +(0.181049 + 0.619280i) q^{66} +(3.63217 + 3.63217i) q^{67} -27.1581i q^{68} +(11.2511 + 2.74344i) q^{69} +(0.246383 - 0.919513i) q^{70} +(0.110237 + 0.411411i) q^{71} +(9.92411 + 31.2979i) q^{72} +(1.88794 - 1.88794i) q^{73} -5.70903i q^{74} +(8.12149 - 2.37435i) q^{75} +(-6.04470 + 6.04470i) q^{76} +(0.0662868 - 0.114812i) q^{77} +(8.52168 + 15.3392i) q^{78} +(-1.25045 - 2.16585i) q^{79} +(-6.20532 - 1.66271i) q^{80} +(5.18611 + 7.35556i) q^{81} +(11.7286 + 6.77150i) q^{82} +(-5.16800 - 1.38476i) q^{83} +(4.90392 - 8.95591i) q^{84} +(1.50760 + 0.403961i) q^{85} +(2.33662 - 0.626096i) q^{86} +(12.7255 + 12.1623i) q^{87} +(-1.25657 - 0.725479i) q^{88} +(2.28340 - 8.52176i) q^{89} +(-2.85293 + 0.129204i) q^{90} +(1.06872 - 3.44352i) q^{91} +(-34.1348 + 19.7077i) q^{92} +(7.06090 - 0.159806i) q^{93} -25.2921 q^{94} +(-0.245643 - 0.425466i) q^{95} +(-47.6894 - 26.1129i) q^{96} +(-9.52778 - 9.52778i) q^{97} +(-2.71408 + 0.727236i) q^{98} +(-0.388432 - 0.0854518i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.727236 2.71408i −0.514233 1.91914i −0.367723 0.929935i \(-0.619862\pi\)
−0.146511 0.989209i \(-0.546804\pi\)
\(3\) 1.68275 + 0.410318i 0.971535 + 0.236897i
\(4\) −5.10531 + 2.94755i −2.55265 + 1.47378i
\(5\) −0.0876862 0.327249i −0.0392145 0.146350i 0.943543 0.331251i \(-0.107471\pi\)
−0.982757 + 0.184900i \(0.940804\pi\)
\(6\) −0.110119 4.86551i −0.0449557 1.98634i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 7.73897 + 7.73897i 2.73614 + 2.73614i
\(9\) 2.66328 + 1.38092i 0.887760 + 0.460307i
\(10\) −0.824413 + 0.475975i −0.260702 + 0.150517i
\(11\) −0.128056 + 0.0343126i −0.0386104 + 0.0103456i −0.278073 0.960560i \(-0.589696\pi\)
0.239462 + 0.970906i \(0.423029\pi\)
\(12\) −9.80038 + 2.86519i −2.82913 + 0.827108i
\(13\) −3.19064 + 1.67924i −0.884924 + 0.465736i
\(14\) 2.43338 + 1.40491i 0.650348 + 0.375478i
\(15\) −0.0132775 0.586658i −0.00342824 0.151474i
\(16\) 9.48102 16.4216i 2.37025 4.10540i
\(17\) −2.30345 + 3.98969i −0.558668 + 0.967641i 0.438940 + 0.898516i \(0.355354\pi\)
−0.997608 + 0.0691247i \(0.977979\pi\)
\(18\) 1.81110 8.23261i 0.426881 1.94044i
\(19\) 1.40069 0.375314i 0.321341 0.0861029i −0.0945431 0.995521i \(-0.530139\pi\)
0.415884 + 0.909418i \(0.363472\pi\)
\(20\) 1.41225 + 1.41225i 0.315789 + 0.315789i
\(21\) −1.48002 + 0.899744i −0.322967 + 0.196340i
\(22\) 0.186254 + 0.322601i 0.0397095 + 0.0687789i
\(23\) 6.68614 1.39416 0.697078 0.716995i \(-0.254483\pi\)
0.697078 + 0.716995i \(0.254483\pi\)
\(24\) 9.84729 + 16.1982i 2.01007 + 3.30644i
\(25\) 4.23072 2.44261i 0.846145 0.488522i
\(26\) 6.87793 + 7.43845i 1.34887 + 1.45880i
\(27\) 3.91501 + 3.41653i 0.753444 + 0.657512i
\(28\) 1.52577 5.69423i 0.288342 1.07611i
\(29\) 8.80141 + 5.08150i 1.63438 + 0.943610i 0.982720 + 0.185100i \(0.0592610\pi\)
0.651661 + 0.758510i \(0.274072\pi\)
\(30\) −1.58258 + 0.462675i −0.288938 + 0.0844724i
\(31\) 3.93871 1.05538i 0.707414 0.189551i 0.112865 0.993610i \(-0.463997\pi\)
0.594549 + 0.804059i \(0.297331\pi\)
\(32\) −30.3212 8.12455i −5.36009 1.43623i
\(33\) −0.229565 + 0.00519563i −0.0399622 + 0.000904444i
\(34\) 12.5035 + 3.35030i 2.14433 + 0.574571i
\(35\) 0.293404 + 0.169397i 0.0495943 + 0.0286333i
\(36\) −17.6672 + 0.800115i −2.94453 + 0.133353i
\(37\) 1.96258 + 0.525872i 0.322646 + 0.0864528i 0.416507 0.909133i \(-0.363254\pi\)
−0.0938608 + 0.995585i \(0.529921\pi\)
\(38\) −2.03726 3.52865i −0.330488 0.572422i
\(39\) −6.05806 + 1.51655i −0.970066 + 0.242843i
\(40\) 1.85397 3.21117i 0.293139 0.507731i
\(41\) −3.40817 + 3.40817i −0.532266 + 0.532266i −0.921246 0.388980i \(-0.872827\pi\)
0.388980 + 0.921246i \(0.372827\pi\)
\(42\) 3.51830 + 3.36257i 0.542886 + 0.518856i
\(43\) 0.860926i 0.131290i 0.997843 + 0.0656450i \(0.0209105\pi\)
−0.997843 + 0.0656450i \(0.979090\pi\)
\(44\) 0.552628 0.552628i 0.0833119 0.0833119i
\(45\) 0.218373 0.992645i 0.0325532 0.147975i
\(46\) −4.86240 18.1467i −0.716922 2.67559i
\(47\) 2.32971 8.69461i 0.339824 1.26824i −0.558720 0.829356i \(-0.688708\pi\)
0.898544 0.438883i \(-0.144626\pi\)
\(48\) 22.6922 23.7432i 3.27534 3.42703i
\(49\) 1.00000i 0.142857i
\(50\) −9.70617 9.70617i −1.37266 1.37266i
\(51\) −5.51316 + 5.76849i −0.771996 + 0.807750i
\(52\) 11.3396 17.9776i 1.57251 2.49304i
\(53\) 9.59720i 1.31828i 0.752022 + 0.659138i \(0.229079\pi\)
−0.752022 + 0.659138i \(0.770921\pi\)
\(54\) 6.42561 13.1103i 0.874415 1.78408i
\(55\) 0.0224575 + 0.0388976i 0.00302817 + 0.00524495i
\(56\) −10.9446 −1.46253
\(57\) 2.51101 0.0568304i 0.332591 0.00752736i
\(58\) 7.39089 27.5832i 0.970472 3.62185i
\(59\) −1.80479 + 6.73555i −0.234963 + 0.876894i 0.743202 + 0.669067i \(0.233306\pi\)
−0.978165 + 0.207827i \(0.933361\pi\)
\(60\) 1.79699 + 2.95593i 0.231990 + 0.381609i
\(61\) −10.5815 −1.35482 −0.677412 0.735604i \(-0.736898\pi\)
−0.677412 + 0.735604i \(0.736898\pi\)
\(62\) −5.72875 9.92248i −0.727552 1.26016i
\(63\) −2.85968 + 0.906763i −0.360286 + 0.114241i
\(64\) 50.2787i 6.28484i
\(65\) 0.829304 + 0.896889i 0.102862 + 0.111245i
\(66\) 0.181049 + 0.619280i 0.0222856 + 0.0762281i
\(67\) 3.63217 + 3.63217i 0.443740 + 0.443740i 0.893267 0.449527i \(-0.148407\pi\)
−0.449527 + 0.893267i \(0.648407\pi\)
\(68\) 27.1581i 3.29340i
\(69\) 11.2511 + 2.74344i 1.35447 + 0.330272i
\(70\) 0.246383 0.919513i 0.0294484 0.109903i
\(71\) 0.110237 + 0.411411i 0.0130828 + 0.0488256i 0.972159 0.234324i \(-0.0752875\pi\)
−0.959076 + 0.283149i \(0.908621\pi\)
\(72\) 9.92411 + 31.2979i 1.16957 + 3.68850i
\(73\) 1.88794 1.88794i 0.220966 0.220966i −0.587939 0.808905i \(-0.700061\pi\)
0.808905 + 0.587939i \(0.200061\pi\)
\(74\) 5.70903i 0.663661i
\(75\) 8.12149 2.37435i 0.937788 0.274167i
\(76\) −6.04470 + 6.04470i −0.693375 + 0.693375i
\(77\) 0.0662868 0.114812i 0.00755408 0.0130840i
\(78\) 8.52168 + 15.3392i 0.964891 + 1.73682i
\(79\) −1.25045 2.16585i −0.140687 0.243677i 0.787069 0.616865i \(-0.211598\pi\)
−0.927755 + 0.373189i \(0.878264\pi\)
\(80\) −6.20532 1.66271i −0.693776 0.185897i
\(81\) 5.18611 + 7.35556i 0.576234 + 0.817285i
\(82\) 11.7286 + 6.77150i 1.29520 + 0.747787i
\(83\) −5.16800 1.38476i −0.567261 0.151997i −0.0362211 0.999344i \(-0.511532\pi\)
−0.531040 + 0.847347i \(0.678199\pi\)
\(84\) 4.90392 8.95591i 0.535062 0.977170i
\(85\) 1.50760 + 0.403961i 0.163523 + 0.0438157i
\(86\) 2.33662 0.626096i 0.251964 0.0675137i
\(87\) 12.7255 + 12.1623i 1.36432 + 1.30393i
\(88\) −1.25657 0.725479i −0.133950 0.0773363i
\(89\) 2.28340 8.52176i 0.242040 0.903305i −0.732808 0.680435i \(-0.761791\pi\)
0.974848 0.222870i \(-0.0715425\pi\)
\(90\) −2.85293 + 0.129204i −0.300725 + 0.0136193i
\(91\) 1.06872 3.44352i 0.112033 0.360979i
\(92\) −34.1348 + 19.7077i −3.55880 + 2.05467i
\(93\) 7.06090 0.159806i 0.732181 0.0165711i
\(94\) −25.2921 −2.60868
\(95\) −0.245643 0.425466i −0.0252024 0.0436518i
\(96\) −47.6894 26.1129i −4.86727 2.66514i
\(97\) −9.52778 9.52778i −0.967399 0.967399i 0.0320860 0.999485i \(-0.489785\pi\)
−0.999485 + 0.0320860i \(0.989785\pi\)
\(98\) −2.71408 + 0.727236i −0.274164 + 0.0734619i
\(99\) −0.388432 0.0854518i −0.0390389 0.00858823i
\(100\) −14.3994 + 24.9406i −1.43994 + 2.49406i
\(101\) 0.0936357 0.162182i 0.00931710 0.0161377i −0.861329 0.508047i \(-0.830368\pi\)
0.870646 + 0.491909i \(0.163701\pi\)
\(102\) 19.6655 + 10.7681i 1.94718 + 1.06620i
\(103\) 6.57053 + 3.79350i 0.647414 + 0.373785i 0.787465 0.616360i \(-0.211393\pi\)
−0.140051 + 0.990144i \(0.544727\pi\)
\(104\) −37.6878 11.6967i −3.69559 1.14695i
\(105\) 0.424218 + 0.405441i 0.0413995 + 0.0395670i
\(106\) 26.0476 6.97942i 2.52996 0.677902i
\(107\) −15.7924 + 9.11776i −1.52671 + 0.881447i −0.527214 + 0.849733i \(0.676763\pi\)
−0.999497 + 0.0317142i \(0.989903\pi\)
\(108\) −30.0577 5.90277i −2.89231 0.567995i
\(109\) 3.86031 + 3.86031i 0.369750 + 0.369750i 0.867386 0.497636i \(-0.165798\pi\)
−0.497636 + 0.867386i \(0.665798\pi\)
\(110\) 0.0892393 0.0892393i 0.00850863 0.00850863i
\(111\) 3.08675 + 1.69019i 0.292981 + 0.160426i
\(112\) 4.90774 + 18.3159i 0.463738 + 1.73069i
\(113\) 1.98914 1.14843i 0.187122 0.108035i −0.403512 0.914974i \(-0.632211\pi\)
0.590635 + 0.806939i \(0.298877\pi\)
\(114\) −1.98034 6.77375i −0.185475 0.634419i
\(115\) −0.586282 2.18804i −0.0546711 0.204035i
\(116\) −59.9119 −5.56268
\(117\) −10.8165 + 0.0662489i −0.999981 + 0.00612471i
\(118\) 19.5933 1.80371
\(119\) −1.19235 4.44992i −0.109303 0.407923i
\(120\) 4.43737 4.64288i 0.405074 0.423835i
\(121\) −9.51106 + 5.49121i −0.864642 + 0.499201i
\(122\) 7.69525 + 28.7191i 0.696695 + 2.60010i
\(123\) −7.13351 + 4.33665i −0.643207 + 0.391023i
\(124\) −16.9976 + 16.9976i −1.52643 + 1.52643i
\(125\) −2.36814 2.36814i −0.211812 0.211812i
\(126\) 4.54069 + 7.10198i 0.404517 + 0.632694i
\(127\) 0.0574272 0.0331556i 0.00509584 0.00294208i −0.497450 0.867493i \(-0.665730\pi\)
0.502546 + 0.864551i \(0.332397\pi\)
\(128\) 75.8179 20.3153i 6.70142 1.79564i
\(129\) −0.353253 + 1.44872i −0.0311022 + 0.127553i
\(130\) 1.83113 2.90305i 0.160601 0.254614i
\(131\) 8.75651 + 5.05558i 0.765060 + 0.441708i 0.831110 0.556109i \(-0.187706\pi\)
−0.0660494 + 0.997816i \(0.521040\pi\)
\(132\) 1.15669 0.703181i 0.100677 0.0612040i
\(133\) −0.725051 + 1.25583i −0.0628699 + 0.108894i
\(134\) 7.21655 12.4994i 0.623415 1.07979i
\(135\) 0.774767 1.58077i 0.0666813 0.136051i
\(136\) −48.7023 + 13.0498i −4.17619 + 1.11901i
\(137\) −5.87030 5.87030i −0.501534 0.501534i 0.410381 0.911914i \(-0.365396\pi\)
−0.911914 + 0.410381i \(0.865396\pi\)
\(138\) −0.736268 32.5315i −0.0626753 2.76926i
\(139\) −3.75817 6.50933i −0.318763 0.552115i 0.661467 0.749974i \(-0.269934\pi\)
−0.980230 + 0.197860i \(0.936601\pi\)
\(140\) −1.99722 −0.168796
\(141\) 7.48787 13.6749i 0.630593 1.15164i
\(142\) 1.03644 0.598386i 0.0869757 0.0502154i
\(143\) 0.350962 0.324515i 0.0293489 0.0271373i
\(144\) 47.9276 30.6428i 3.99396 2.55356i
\(145\) 0.891155 3.32583i 0.0740064 0.276196i
\(146\) −6.49698 3.75104i −0.537694 0.310438i
\(147\) 0.410318 1.68275i 0.0338424 0.138791i
\(148\) −11.5696 + 3.10007i −0.951016 + 0.254824i
\(149\) 9.25768 + 2.48059i 0.758419 + 0.203218i 0.617249 0.786768i \(-0.288247\pi\)
0.141170 + 0.989985i \(0.454914\pi\)
\(150\) −12.3504 20.3157i −1.00841 1.65877i
\(151\) 1.57407 + 0.421771i 0.128096 + 0.0343233i 0.322298 0.946638i \(-0.395545\pi\)
−0.194201 + 0.980962i \(0.562212\pi\)
\(152\) 13.7444 + 7.93536i 1.11482 + 0.643642i
\(153\) −11.6442 + 7.44476i −0.941375 + 0.601874i
\(154\) −0.359815 0.0964122i −0.0289947 0.00776912i
\(155\) −0.690742 1.19640i −0.0554817 0.0960972i
\(156\) 26.4581 25.5989i 2.11835 2.04955i
\(157\) 6.25548 10.8348i 0.499242 0.864712i −0.500758 0.865587i \(-0.666945\pi\)
1.00000 0.000875388i \(0.000278645\pi\)
\(158\) −4.96891 + 4.96891i −0.395305 + 0.395305i
\(159\) −3.93790 + 16.1497i −0.312296 + 1.28075i
\(160\) 10.6350i 0.840773i
\(161\) −4.72781 + 4.72781i −0.372604 + 0.372604i
\(162\) 16.1921 19.4247i 1.27217 1.52615i
\(163\) −2.95386 11.0240i −0.231365 0.863464i −0.979754 0.200205i \(-0.935839\pi\)
0.748390 0.663259i \(-0.230827\pi\)
\(164\) 7.35400 27.4455i 0.574251 2.14313i
\(165\) 0.0218300 + 0.0746695i 0.00169946 + 0.00581302i
\(166\) 15.0334i 1.16682i
\(167\) 14.7511 + 14.7511i 1.14147 + 1.14147i 0.988181 + 0.153293i \(0.0489877\pi\)
0.153293 + 0.988181i \(0.451012\pi\)
\(168\) −18.4169 4.49074i −1.42090 0.346468i
\(169\) 7.36034 10.7157i 0.566180 0.824282i
\(170\) 4.38553i 0.336355i
\(171\) 4.24871 + 0.934680i 0.324907 + 0.0714767i
\(172\) −2.53762 4.39529i −0.193492 0.335138i
\(173\) 11.9368 0.907540 0.453770 0.891119i \(-0.350079\pi\)
0.453770 + 0.891119i \(0.350079\pi\)
\(174\) 23.7549 43.3829i 1.80085 3.28885i
\(175\) −1.26439 + 4.71876i −0.0955787 + 0.356705i
\(176\) −0.650636 + 2.42821i −0.0490435 + 0.183033i
\(177\) −5.80071 + 10.5937i −0.436008 + 0.796271i
\(178\) −24.7893 −1.85804
\(179\) 2.77420 + 4.80505i 0.207353 + 0.359146i 0.950880 0.309560i \(-0.100182\pi\)
−0.743527 + 0.668706i \(0.766848\pi\)
\(180\) 1.81101 + 5.71142i 0.134985 + 0.425704i
\(181\) 4.52579i 0.336399i −0.985753 0.168200i \(-0.946205\pi\)
0.985753 0.168200i \(-0.0537953\pi\)
\(182\) −10.1232 0.396349i −0.750382 0.0293793i
\(183\) −17.8060 4.34178i −1.31626 0.320954i
\(184\) 51.7438 + 51.7438i 3.81460 + 3.81460i
\(185\) 0.688365i 0.0506096i
\(186\) −5.56866 19.0476i −0.408314 1.39664i
\(187\) 0.158074 0.589941i 0.0115595 0.0431408i
\(188\) 13.7339 + 51.2556i 1.00165 + 3.73820i
\(189\) −5.18418 + 0.352475i −0.377094 + 0.0256387i
\(190\) −0.976108 + 0.976108i −0.0708143 + 0.0708143i
\(191\) 12.1441i 0.878719i 0.898311 + 0.439360i \(0.144795\pi\)
−0.898311 + 0.439360i \(0.855205\pi\)
\(192\) −20.6302 + 84.6063i −1.48886 + 6.10594i
\(193\) −6.26524 + 6.26524i −0.450981 + 0.450981i −0.895680 0.444699i \(-0.853311\pi\)
0.444699 + 0.895680i \(0.353311\pi\)
\(194\) −18.9302 + 32.7881i −1.35911 + 2.35405i
\(195\) 1.02750 + 1.84952i 0.0735808 + 0.132447i
\(196\) 2.94755 + 5.10531i 0.210539 + 0.364665i
\(197\) −1.67389 0.448519i −0.119260 0.0319556i 0.198695 0.980061i \(-0.436330\pi\)
−0.317955 + 0.948106i \(0.602996\pi\)
\(198\) 0.0505588 + 1.11638i 0.00359306 + 0.0793377i
\(199\) −20.3630 11.7566i −1.44349 0.833400i −0.445411 0.895326i \(-0.646942\pi\)
−0.998081 + 0.0619260i \(0.980276\pi\)
\(200\) 51.6447 + 13.8382i 3.65183 + 0.978505i
\(201\) 4.62168 + 7.60236i 0.325988 + 0.536229i
\(202\) −0.508270 0.136190i −0.0357617 0.00958232i
\(203\) −9.81670 + 2.63038i −0.688997 + 0.184616i
\(204\) 11.1435 45.7002i 0.780198 3.19966i
\(205\) 1.41417 + 0.816471i 0.0987699 + 0.0570248i
\(206\) 5.51754 20.5917i 0.384425 1.43469i
\(207\) 17.8071 + 9.23304i 1.23768 + 0.641741i
\(208\) −2.67475 + 68.3163i −0.185461 + 4.73688i
\(209\) −0.166489 + 0.0961226i −0.0115163 + 0.00664894i
\(210\) 0.791893 1.44621i 0.0546458 0.0997982i
\(211\) 19.6789 1.35475 0.677376 0.735637i \(-0.263117\pi\)
0.677376 + 0.735637i \(0.263117\pi\)
\(212\) −28.2882 48.9967i −1.94284 3.36510i
\(213\) 0.0166922 + 0.737534i 0.00114373 + 0.0505350i
\(214\) 36.2311 + 36.2311i 2.47671 + 2.47671i
\(215\) 0.281738 0.0754913i 0.0192143 0.00514847i
\(216\) 3.85768 + 56.7386i 0.262482 + 3.86057i
\(217\) −2.03883 + 3.53135i −0.138405 + 0.239724i
\(218\) 7.66983 13.2845i 0.519466 0.899742i
\(219\) 3.95157 2.40227i 0.267023 0.162330i
\(220\) −0.229305 0.132389i −0.0154598 0.00892570i
\(221\) 0.649840 16.5977i 0.0437130 1.11648i
\(222\) 2.34252 9.60686i 0.157219 0.644770i
\(223\) −11.6390 + 3.11865i −0.779403 + 0.208840i −0.626521 0.779404i \(-0.715522\pi\)
−0.152881 + 0.988245i \(0.548855\pi\)
\(224\) 27.1853 15.6954i 1.81639 1.04870i
\(225\) 14.6407 0.663048i 0.976043 0.0442032i
\(226\) −4.56350 4.56350i −0.303560 0.303560i
\(227\) −12.1261 + 12.1261i −0.804839 + 0.804839i −0.983848 0.179009i \(-0.942711\pi\)
0.179009 + 0.983848i \(0.442711\pi\)
\(228\) −12.6520 + 7.69146i −0.837896 + 0.509379i
\(229\) −1.09485 4.08602i −0.0723495 0.270012i 0.920270 0.391285i \(-0.127969\pi\)
−0.992619 + 0.121272i \(0.961303\pi\)
\(230\) −5.51214 + 3.18244i −0.363460 + 0.209844i
\(231\) 0.158653 0.166001i 0.0104386 0.0109221i
\(232\) 28.7883 + 107.439i 1.89004 + 7.05374i
\(233\) −8.29860 −0.543659 −0.271830 0.962345i \(-0.587629\pi\)
−0.271830 + 0.962345i \(0.587629\pi\)
\(234\) 8.04591 + 29.3085i 0.525978 + 1.91596i
\(235\) −3.04959 −0.198933
\(236\) −10.6394 39.7068i −0.692566 2.58469i
\(237\) −1.21551 4.15766i −0.0789559 0.270069i
\(238\) −11.2103 + 6.47228i −0.726656 + 0.419535i
\(239\) −3.26971 12.2027i −0.211500 0.789330i −0.987369 0.158436i \(-0.949355\pi\)
0.775869 0.630894i \(-0.217312\pi\)
\(240\) −9.75974 5.34407i −0.629989 0.344958i
\(241\) 16.4938 16.4938i 1.06246 1.06246i 0.0645428 0.997915i \(-0.479441\pi\)
0.997915 0.0645428i \(-0.0205589\pi\)
\(242\) 21.8204 + 21.8204i 1.40267 + 1.40267i
\(243\) 5.70879 + 14.5055i 0.366219 + 0.930529i
\(244\) 54.0219 31.1895i 3.45840 1.99671i
\(245\) −0.327249 + 0.0876862i −0.0209072 + 0.00560207i
\(246\) 16.9578 + 16.2072i 1.08119 + 1.03333i
\(247\) −3.83886 + 3.54958i −0.244261 + 0.225854i
\(248\) 38.6491 + 22.3141i 2.45422 + 1.41694i
\(249\) −8.12824 4.45072i −0.515106 0.282053i
\(250\) −4.70512 + 8.14950i −0.297578 + 0.515420i
\(251\) 8.58766 14.8743i 0.542048 0.938855i −0.456738 0.889601i \(-0.650982\pi\)
0.998786 0.0492540i \(-0.0156844\pi\)
\(252\) 11.9268 13.0584i 0.751320 0.822600i
\(253\) −0.856202 + 0.229419i −0.0538289 + 0.0144234i
\(254\) −0.131750 0.131750i −0.00826674 0.00826674i
\(255\) 2.37116 + 1.29836i 0.148488 + 0.0813065i
\(256\) −59.9963 103.917i −3.74977 6.49479i
\(257\) −13.5687 −0.846390 −0.423195 0.906039i \(-0.639091\pi\)
−0.423195 + 0.906039i \(0.639091\pi\)
\(258\) 4.18884 0.0948039i 0.260786 0.00590224i
\(259\) −1.75960 + 1.01591i −0.109336 + 0.0631253i
\(260\) −6.87748 2.13448i −0.426523 0.132375i
\(261\) 16.4235 + 25.6875i 1.01659 + 1.59002i
\(262\) 7.35319 27.4425i 0.454282 1.69540i
\(263\) 3.85902 + 2.22800i 0.237957 + 0.137385i 0.614237 0.789121i \(-0.289464\pi\)
−0.376280 + 0.926506i \(0.622797\pi\)
\(264\) −1.81681 1.73639i −0.111817 0.106867i
\(265\) 3.14068 0.841542i 0.192930 0.0516955i
\(266\) 3.93569 + 1.05457i 0.241313 + 0.0646596i
\(267\) 7.33901 13.4031i 0.449140 0.820253i
\(268\) −29.2493 7.83734i −1.78669 0.478742i
\(269\) 10.8085 + 6.24030i 0.659007 + 0.380478i 0.791898 0.610653i \(-0.209093\pi\)
−0.132892 + 0.991131i \(0.542426\pi\)
\(270\) −4.85377 0.953189i −0.295391 0.0580092i
\(271\) −18.3435 4.91512i −1.11429 0.298573i −0.345718 0.938338i \(-0.612365\pi\)
−0.768570 + 0.639766i \(0.779031\pi\)
\(272\) 43.6780 + 75.6526i 2.64837 + 4.58711i
\(273\) 3.21133 5.35606i 0.194358 0.324163i
\(274\) −11.6634 + 20.2016i −0.704610 + 1.22042i
\(275\) −0.457958 + 0.457958i −0.0276159 + 0.0276159i
\(276\) −65.5267 + 19.1570i −3.94424 + 1.15312i
\(277\) 6.14324i 0.369111i −0.982822 0.184556i \(-0.940915\pi\)
0.982822 0.184556i \(-0.0590846\pi\)
\(278\) −14.9338 + 14.9338i −0.895669 + 0.895669i
\(279\) 11.9473 + 2.62830i 0.715265 + 0.157352i
\(280\) 0.959686 + 3.58160i 0.0573522 + 0.214041i
\(281\) 7.34703 27.4195i 0.438287 1.63571i −0.294789 0.955562i \(-0.595249\pi\)
0.733076 0.680147i \(-0.238084\pi\)
\(282\) −42.5603 10.3778i −2.53443 0.617989i
\(283\) 19.0469i 1.13222i −0.824329 0.566111i \(-0.808447\pi\)
0.824329 0.566111i \(-0.191553\pi\)
\(284\) −1.77545 1.77545i −0.105354 0.105354i
\(285\) −0.238778 0.816743i −0.0141440 0.0483797i
\(286\) −1.13599 0.716540i −0.0671727 0.0423699i
\(287\) 4.81987i 0.284508i
\(288\) −69.5346 63.5092i −4.09736 3.74232i
\(289\) −2.11173 3.65762i −0.124219 0.215154i
\(290\) −9.67466 −0.568116
\(291\) −12.1234 19.9423i −0.710688 1.16904i
\(292\) −4.07371 + 15.2033i −0.238396 + 0.889705i
\(293\) −0.430070 + 1.60504i −0.0251249 + 0.0937676i −0.977350 0.211630i \(-0.932123\pi\)
0.952225 + 0.305398i \(0.0987894\pi\)
\(294\) −4.86551 + 0.110119i −0.283762 + 0.00642225i
\(295\) 2.36246 0.137548
\(296\) 11.1186 + 19.2580i 0.646257 + 1.11935i
\(297\) −0.618571 0.303174i −0.0358931 0.0175920i
\(298\) 26.9301i 1.56002i
\(299\) −21.3330 + 11.2276i −1.23372 + 0.649309i
\(300\) −34.4642 + 36.0603i −1.98979 + 2.08194i
\(301\) −0.608766 0.608766i −0.0350887 0.0350887i
\(302\) 4.57888i 0.263485i
\(303\) 0.224111 0.234491i 0.0128749 0.0134711i
\(304\) 7.11672 26.5600i 0.408172 1.52332i
\(305\) 0.927853 + 3.46279i 0.0531287 + 0.198279i
\(306\) 28.6737 + 26.1891i 1.63917 + 1.49713i
\(307\) 12.5596 12.5596i 0.716817 0.716817i −0.251135 0.967952i \(-0.580804\pi\)
0.967952 + 0.251135i \(0.0808039\pi\)
\(308\) 0.781535i 0.0445321i
\(309\) 9.50001 + 9.07951i 0.540437 + 0.516515i
\(310\) −2.74479 + 2.74479i −0.155894 + 0.155894i
\(311\) 4.66167 8.07426i 0.264339 0.457849i −0.703051 0.711139i \(-0.748179\pi\)
0.967390 + 0.253290i \(0.0815128\pi\)
\(312\) −58.6197 35.1465i −3.31868 1.98978i
\(313\) −15.9882 27.6925i −0.903709 1.56527i −0.822641 0.568562i \(-0.807500\pi\)
−0.0810687 0.996709i \(-0.525833\pi\)
\(314\) −33.9558 9.09842i −1.91623 0.513453i
\(315\) 0.547492 + 0.856319i 0.0308477 + 0.0482481i
\(316\) 12.7679 + 7.37155i 0.718250 + 0.414682i
\(317\) 15.6681 + 4.19824i 0.880006 + 0.235797i 0.670410 0.741991i \(-0.266118\pi\)
0.209596 + 0.977788i \(0.432785\pi\)
\(318\) 46.6953 1.05683i 2.61854 0.0592641i
\(319\) −1.30143 0.348718i −0.0728663 0.0195245i
\(320\) 16.4537 4.40875i 0.919789 0.246457i
\(321\) −30.3158 + 8.86297i −1.69206 + 0.494683i
\(322\) 16.2699 + 9.39343i 0.906686 + 0.523476i
\(323\) −1.72903 + 6.45283i −0.0962059 + 0.359045i
\(324\) −48.1576 22.2661i −2.67542 1.23701i
\(325\) −9.39699 + 14.8979i −0.521251 + 0.826385i
\(326\) −27.7718 + 16.0341i −1.53814 + 0.888044i
\(327\) 4.91197 + 8.07987i 0.271632 + 0.446818i
\(328\) −52.7514 −2.91271
\(329\) 4.50066 + 7.79537i 0.248130 + 0.429773i
\(330\) 0.186784 0.113551i 0.0102821 0.00625076i
\(331\) −8.92891 8.92891i −0.490777 0.490777i 0.417774 0.908551i \(-0.362810\pi\)
−0.908551 + 0.417774i \(0.862810\pi\)
\(332\) 30.4659 8.16331i 1.67203 0.448020i
\(333\) 4.50071 + 4.11071i 0.246637 + 0.225266i
\(334\) 29.3081 50.7632i 1.60367 2.77764i
\(335\) 0.870134 1.50712i 0.0475405 0.0823426i
\(336\) 0.743133 + 32.8348i 0.0405413 + 1.79129i
\(337\) −9.68137 5.58954i −0.527378 0.304482i 0.212570 0.977146i \(-0.431817\pi\)
−0.739948 + 0.672664i \(0.765150\pi\)
\(338\) −34.4359 12.1837i −1.87306 0.662708i
\(339\) 3.81844 1.11634i 0.207389 0.0606312i
\(340\) −8.88748 + 2.38139i −0.481991 + 0.129149i
\(341\) −0.468164 + 0.270295i −0.0253525 + 0.0146373i
\(342\) −0.553017 12.2111i −0.0299037 0.660299i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) −6.66268 + 6.66268i −0.359227 + 0.359227i
\(345\) −0.0887754 3.92247i −0.00477950 0.211179i
\(346\) −8.68089 32.3975i −0.466687 1.74170i
\(347\) −21.7396 + 12.5514i −1.16704 + 0.673793i −0.952982 0.303028i \(-0.902003\pi\)
−0.214061 + 0.976820i \(0.568669\pi\)
\(348\) −100.817 24.5829i −5.40434 1.31778i
\(349\) 1.48126 + 5.52814i 0.0792901 + 0.295915i 0.994172 0.107807i \(-0.0343829\pi\)
−0.914882 + 0.403722i \(0.867716\pi\)
\(350\) 13.7266 0.733718
\(351\) −18.2285 4.32670i −0.972967 0.230942i
\(352\) 4.16160 0.221814
\(353\) 3.59212 + 13.4060i 0.191189 + 0.713528i 0.993220 + 0.116246i \(0.0370861\pi\)
−0.802031 + 0.597282i \(0.796247\pi\)
\(354\) 32.9706 + 8.03949i 1.75237 + 0.427294i
\(355\) 0.124968 0.0721502i 0.00663261 0.00382934i
\(356\) 13.4609 + 50.2367i 0.713425 + 2.66254i
\(357\) −0.180547 7.97733i −0.00955555 0.422205i
\(358\) 11.0238 11.0238i 0.582626 0.582626i
\(359\) 5.34337 + 5.34337i 0.282012 + 0.282012i 0.833911 0.551899i \(-0.186097\pi\)
−0.551899 + 0.833911i \(0.686097\pi\)
\(360\) 9.37203 5.99206i 0.493949 0.315809i
\(361\) −14.6334 + 8.44860i −0.770179 + 0.444663i
\(362\) −12.2834 + 3.29131i −0.645599 + 0.172988i
\(363\) −18.2579 + 5.33777i −0.958289 + 0.280160i
\(364\) 4.69379 + 20.7304i 0.246022 + 1.08657i
\(365\) −0.783372 0.452280i −0.0410036 0.0236734i
\(366\) 1.16522 + 51.4844i 0.0609071 + 2.69113i
\(367\) 3.85937 6.68462i 0.201457 0.348934i −0.747541 0.664216i \(-0.768766\pi\)
0.948998 + 0.315281i \(0.102099\pi\)
\(368\) 63.3914 109.797i 3.30451 5.72357i
\(369\) −13.7833 + 4.37048i −0.717530 + 0.227518i
\(370\) −1.86828 + 0.500603i −0.0971271 + 0.0260251i
\(371\) −6.78624 6.78624i −0.352324 0.352324i
\(372\) −35.5770 + 21.6282i −1.84458 + 1.12137i
\(373\) 13.5885 + 23.5359i 0.703584 + 1.21864i 0.967200 + 0.254016i \(0.0817515\pi\)
−0.263616 + 0.964628i \(0.584915\pi\)
\(374\) −1.71610 −0.0887377
\(375\) −3.01329 4.95666i −0.155605 0.255961i
\(376\) 85.3169 49.2577i 4.39988 2.54027i
\(377\) −36.6151 1.43357i −1.88578 0.0738328i
\(378\) 4.72677 + 13.8140i 0.243119 + 0.710513i
\(379\) 3.67976 13.7330i 0.189016 0.705419i −0.804719 0.593656i \(-0.797684\pi\)
0.993735 0.111762i \(-0.0356495\pi\)
\(380\) 2.50816 + 1.44809i 0.128666 + 0.0742854i
\(381\) 0.110240 0.0322291i 0.00564776 0.00165115i
\(382\) 32.9602 8.83165i 1.68639 0.451867i
\(383\) 26.2399 + 7.03097i 1.34080 + 0.359266i 0.856730 0.515764i \(-0.172492\pi\)
0.484068 + 0.875030i \(0.339159\pi\)
\(384\) 135.918 3.07617i 6.93604 0.156980i
\(385\) −0.0433846 0.0116249i −0.00221108 0.000592458i
\(386\) 21.5607 + 12.4480i 1.09741 + 0.633589i
\(387\) −1.18887 + 2.29289i −0.0604337 + 0.116554i
\(388\) 76.7259 + 20.5586i 3.89517 + 1.04371i
\(389\) −7.90948 13.6996i −0.401026 0.694598i 0.592824 0.805332i \(-0.298013\pi\)
−0.993850 + 0.110734i \(0.964680\pi\)
\(390\) 4.27250 4.13375i 0.216346 0.209321i
\(391\) −15.4012 + 26.6756i −0.778870 + 1.34904i
\(392\) 7.73897 7.73897i 0.390877 0.390877i
\(393\) 12.6606 + 12.1002i 0.638643 + 0.610375i
\(394\) 4.86926i 0.245310i
\(395\) −0.599125 + 0.599125i −0.0301452 + 0.0301452i
\(396\) 2.23494 0.708667i 0.112310 0.0356118i
\(397\) −4.01210 14.9734i −0.201361 0.751491i −0.990528 0.137312i \(-0.956154\pi\)
0.789166 0.614179i \(-0.210513\pi\)
\(398\) −17.0996 + 63.8165i −0.857124 + 3.19883i
\(399\) −1.73537 + 1.81574i −0.0868769 + 0.0909005i
\(400\) 92.6337i 4.63169i
\(401\) 12.6383 + 12.6383i 0.631128 + 0.631128i 0.948351 0.317223i \(-0.102750\pi\)
−0.317223 + 0.948351i \(0.602750\pi\)
\(402\) 17.2724 18.0723i 0.861468 0.901365i
\(403\) −10.7948 + 9.98135i −0.537727 + 0.497206i
\(404\) 1.10398i 0.0549253i
\(405\) 1.95235 2.34213i 0.0970132 0.116381i
\(406\) 14.2781 + 24.7304i 0.708610 + 1.22735i
\(407\) −0.269364 −0.0133519
\(408\) −87.3083 + 1.97600i −4.32240 + 0.0978268i
\(409\) −1.86907 + 6.97545i −0.0924194 + 0.344914i −0.996616 0.0822035i \(-0.973804\pi\)
0.904196 + 0.427117i \(0.140471\pi\)
\(410\) 1.18753 4.43194i 0.0586481 0.218878i
\(411\) −7.46955 12.2869i −0.368446 0.606069i
\(412\) −44.7261 −2.20350
\(413\) −3.48658 6.03893i −0.171563 0.297156i
\(414\) 12.1093 55.0444i 0.595139 2.70528i
\(415\) 1.81265i 0.0889794i
\(416\) 110.387 24.9940i 5.41218 1.22543i
\(417\) −3.65315 12.4956i −0.178895 0.611913i
\(418\) 0.381961 + 0.381961i 0.0186823 + 0.0186823i
\(419\) 12.9983i 0.635007i −0.948257 0.317504i \(-0.897155\pi\)
0.948257 0.317504i \(-0.102845\pi\)
\(420\) −3.36082 0.819496i −0.163991 0.0399873i
\(421\) 8.00909 29.8903i 0.390339 1.45676i −0.439237 0.898371i \(-0.644751\pi\)
0.829576 0.558394i \(-0.188582\pi\)
\(422\) −14.3112 53.4102i −0.696659 2.59997i
\(423\) 18.2113 19.9390i 0.885462 0.969468i
\(424\) −74.2724 + 74.2724i −3.60699 + 3.60699i
\(425\) 22.5057i 1.09169i
\(426\) 1.98959 0.581665i 0.0963958 0.0281818i
\(427\) 7.48226 7.48226i 0.362092 0.362092i
\(428\) 53.7501 93.0979i 2.59811 4.50006i
\(429\) 0.723735 0.402072i 0.0349423 0.0194122i
\(430\) −0.409779 0.709758i −0.0197613 0.0342276i
\(431\) −18.9163 5.06860i −0.911165 0.244146i −0.227360 0.973811i \(-0.573009\pi\)
−0.683805 + 0.729665i \(0.739676\pi\)
\(432\) 93.2233 31.8985i 4.48521 1.53472i
\(433\) −14.9218 8.61508i −0.717094 0.414014i 0.0965884 0.995324i \(-0.469207\pi\)
−0.813682 + 0.581310i \(0.802540\pi\)
\(434\) 11.0671 + 2.96542i 0.531237 + 0.142345i
\(435\) 2.86424 5.23088i 0.137330 0.250802i
\(436\) −31.0865 8.32960i −1.48877 0.398916i
\(437\) 9.36522 2.50940i 0.447999 0.120041i
\(438\) −9.39367 8.97787i −0.448847 0.428979i
\(439\) 1.30503 + 0.753460i 0.0622857 + 0.0359607i 0.530819 0.847485i \(-0.321884\pi\)
−0.468534 + 0.883446i \(0.655218\pi\)
\(440\) −0.127229 + 0.474825i −0.00606541 + 0.0226364i
\(441\) 1.38092 2.66328i 0.0657582 0.126823i
\(442\) −45.5200 + 10.3067i −2.16517 + 0.490240i
\(443\) −23.3131 + 13.4598i −1.10764 + 0.639495i −0.938216 0.346049i \(-0.887523\pi\)
−0.169421 + 0.985544i \(0.554190\pi\)
\(444\) −20.7407 + 0.469415i −0.984312 + 0.0222774i
\(445\) −2.98896 −0.141690
\(446\) 16.9285 + 29.3211i 0.801590 + 1.38839i
\(447\) 14.5605 + 7.97279i 0.688688 + 0.377100i
\(448\) −35.5524 35.5524i −1.67969 1.67969i
\(449\) −17.9884 + 4.81999i −0.848927 + 0.227469i −0.656954 0.753931i \(-0.728155\pi\)
−0.191973 + 0.981400i \(0.561489\pi\)
\(450\) −12.4468 39.2537i −0.586746 1.85044i
\(451\) 0.319494 0.553380i 0.0150444 0.0260576i
\(452\) −6.77011 + 11.7262i −0.318439 + 0.551553i
\(453\) 2.47570 + 1.35560i 0.116319 + 0.0636918i
\(454\) 41.7298 + 24.0927i 1.95848 + 1.13073i
\(455\) −1.22060 0.0477896i −0.0572227 0.00224041i
\(456\) 19.8724 + 18.9928i 0.930611 + 0.889419i
\(457\) −40.4736 + 10.8449i −1.89328 + 0.507302i −0.895176 + 0.445713i \(0.852950\pi\)
−0.998102 + 0.0615887i \(0.980383\pi\)
\(458\) −10.2936 + 5.94301i −0.480988 + 0.277698i
\(459\) −22.6489 + 7.74985i −1.05716 + 0.361732i
\(460\) 9.44250 + 9.44250i 0.440259 + 0.440259i
\(461\) 15.7705 15.7705i 0.734508 0.734508i −0.237002 0.971509i \(-0.576165\pi\)
0.971509 + 0.237002i \(0.0761647\pi\)
\(462\) −0.565918 0.309876i −0.0263289 0.0144167i
\(463\) 6.64461 + 24.7980i 0.308801 + 1.15246i 0.929623 + 0.368511i \(0.120132\pi\)
−0.620822 + 0.783951i \(0.713201\pi\)
\(464\) 166.893 96.3555i 7.74780 4.47319i
\(465\) −0.671440 2.29666i −0.0311373 0.106505i
\(466\) 6.03504 + 22.5231i 0.279568 + 1.04336i
\(467\) −17.1247 −0.792437 −0.396219 0.918156i \(-0.629678\pi\)
−0.396219 + 0.918156i \(0.629678\pi\)
\(468\) 55.0261 32.2203i 2.54358 1.48938i
\(469\) −5.13666 −0.237189
\(470\) 2.21777 + 8.27683i 0.102298 + 0.381782i
\(471\) 14.9721 15.6655i 0.689878 0.721829i
\(472\) −66.0934 + 38.1590i −3.04219 + 1.75641i
\(473\) −0.0295406 0.110247i −0.00135828 0.00506916i
\(474\) −10.4003 + 6.32259i −0.477699 + 0.290406i
\(475\) 5.00919 5.00919i 0.229837 0.229837i
\(476\) 19.2037 + 19.2037i 0.880199 + 0.880199i
\(477\) −13.2530 + 25.5600i −0.606813 + 1.17031i
\(478\) −30.7414 + 17.7485i −1.40608 + 0.811799i
\(479\) −8.61344 + 2.30796i −0.393558 + 0.105454i −0.450170 0.892943i \(-0.648637\pi\)
0.0566123 + 0.998396i \(0.481970\pi\)
\(480\) −4.36374 + 17.8961i −0.199177 + 0.816840i
\(481\) −7.14494 + 1.61777i −0.325781 + 0.0737638i
\(482\) −56.7603 32.7706i −2.58536 1.49266i
\(483\) −9.89563 + 6.01581i −0.450267 + 0.273729i
\(484\) 32.3713 56.0687i 1.47142 2.54858i
\(485\) −2.28251 + 3.95341i −0.103643 + 0.179515i
\(486\) 35.2175 26.0430i 1.59750 1.18134i
\(487\) 9.28396 2.48763i 0.420696 0.112725i −0.0422593 0.999107i \(-0.513456\pi\)
0.462956 + 0.886381i \(0.346789\pi\)
\(488\) −81.8899 81.8899i −3.70698 3.70698i
\(489\) −0.447277 19.7626i −0.0202265 0.893695i
\(490\) 0.475975 + 0.824413i 0.0215024 + 0.0372432i
\(491\) 29.7297 1.34168 0.670841 0.741601i \(-0.265933\pi\)
0.670841 + 0.741601i \(0.265933\pi\)
\(492\) 23.6363 43.1664i 1.06561 1.94609i
\(493\) −40.5472 + 23.4099i −1.82615 + 1.05433i
\(494\) 12.4256 + 7.83758i 0.559054 + 0.352630i
\(495\) 0.00609612 + 0.134607i 0.000274000 + 0.00605014i
\(496\) 20.0121 74.6861i 0.898568 3.35350i
\(497\) −0.368861 0.212962i −0.0165457 0.00955266i
\(498\) −6.16847 + 25.2974i −0.276416 + 1.13360i
\(499\) 16.5785 4.44218i 0.742154 0.198860i 0.132119 0.991234i \(-0.457822\pi\)
0.610035 + 0.792374i \(0.291155\pi\)
\(500\) 19.0703 + 5.10986i 0.852848 + 0.228520i
\(501\) 18.7697 + 30.8750i 0.838569 + 1.37939i
\(502\) −46.6152 12.4905i −2.08054 0.557479i
\(503\) 11.3233 + 6.53750i 0.504880 + 0.291493i 0.730727 0.682670i \(-0.239181\pi\)
−0.225846 + 0.974163i \(0.572515\pi\)
\(504\) −29.1484 15.1136i −1.29837 0.673212i
\(505\) −0.0612845 0.0164211i −0.00272712 0.000730730i
\(506\) 1.24532 + 2.15696i 0.0553613 + 0.0958885i
\(507\) 16.7824 15.0117i 0.745333 0.666692i
\(508\) −0.195456 + 0.338539i −0.00867195 + 0.0150203i
\(509\) −31.2142 + 31.2142i −1.38354 + 1.38354i −0.545310 + 0.838235i \(0.683588\pi\)
−0.838235 + 0.545310i \(0.816412\pi\)
\(510\) 1.79946 7.37974i 0.0796815 0.326780i
\(511\) 2.66994i 0.118111i
\(512\) −127.401 + 127.401i −5.63040 + 5.63040i
\(513\) 6.76599 + 3.31615i 0.298726 + 0.146412i
\(514\) 9.86762 + 36.8264i 0.435242 + 1.62434i
\(515\) 0.665275 2.48284i 0.0293155 0.109407i
\(516\) −2.46671 8.43740i −0.108591 0.371436i
\(517\) 1.19334i 0.0524829i
\(518\) 4.03689 + 4.03689i 0.177371 + 0.177371i
\(519\) 20.0867 + 4.89789i 0.881707 + 0.214994i
\(520\) −0.523036 + 13.3589i −0.0229366 + 0.585829i
\(521\) 42.5005i 1.86198i −0.365046 0.930990i \(-0.618947\pi\)
0.365046 0.930990i \(-0.381053\pi\)
\(522\) 57.7742 63.2555i 2.52871 2.76862i
\(523\) 6.29874 + 10.9097i 0.275425 + 0.477049i 0.970242 0.242137i \(-0.0778482\pi\)
−0.694818 + 0.719186i \(0.744515\pi\)
\(524\) −59.6063 −2.60391
\(525\) −4.06384 + 7.42168i −0.177360 + 0.323909i
\(526\) 3.24057 12.0940i 0.141295 0.527322i
\(527\) −4.86200 + 18.1452i −0.211792 + 0.790419i
\(528\) −2.09119 + 3.81909i −0.0910075 + 0.166205i
\(529\) 21.7045 0.943672
\(530\) −4.56803 7.91205i −0.198422 0.343678i
\(531\) −14.1079 + 15.4464i −0.612232 + 0.670316i
\(532\) 8.54850i 0.370625i
\(533\) 5.15111 16.5973i 0.223119 0.718910i
\(534\) −41.7141 10.1715i −1.80515 0.440164i
\(535\) 4.36856 + 4.36856i 0.188869 + 0.188869i
\(536\) 56.2184i 2.42827i
\(537\) 2.69668 + 9.22399i 0.116370 + 0.398045i
\(538\) 9.07633 33.8733i 0.391308 1.46038i
\(539\) 0.0343126 + 0.128056i 0.00147795 + 0.00551577i
\(540\) 0.703970 + 10.3540i 0.0302941 + 0.445564i
\(541\) 18.4930 18.4930i 0.795077 0.795077i −0.187237 0.982315i \(-0.559953\pi\)
0.982315 + 0.187237i \(0.0599534\pi\)
\(542\) 53.3602i 2.29202i
\(543\) 1.85701 7.61576i 0.0796920 0.326823i
\(544\) 102.258 102.258i 4.38427 4.38427i
\(545\) 0.924787 1.60178i 0.0396135 0.0686127i
\(546\) −16.8722 4.82069i −0.722062 0.206306i
\(547\) 7.66254 + 13.2719i 0.327627 + 0.567466i 0.982040 0.188671i \(-0.0604178\pi\)
−0.654414 + 0.756137i \(0.727084\pi\)
\(548\) 47.2727 + 12.6667i 2.01939 + 0.541094i
\(549\) −28.1815 14.6122i −1.20276 0.623635i
\(550\) 1.57598 + 0.909892i 0.0672000 + 0.0387979i
\(551\) 14.2352 + 3.81431i 0.606440 + 0.162495i
\(552\) 65.8404 + 108.303i 2.80235 + 4.60969i
\(553\) 2.41569 + 0.647282i 0.102726 + 0.0275252i
\(554\) −16.6732 + 4.46758i −0.708378 + 0.189809i
\(555\) 0.282448 1.15834i 0.0119893 0.0491690i
\(556\) 38.3732 + 22.1548i 1.62739 + 0.939572i
\(557\) 10.1154 37.7513i 0.428605 1.59957i −0.327318 0.944914i \(-0.606145\pi\)
0.755923 0.654660i \(-0.227188\pi\)
\(558\) −1.55507 34.3373i −0.0658315 1.45361i
\(559\) −1.44570 2.74690i −0.0611465 0.116182i
\(560\) 5.56354 3.21211i 0.235102 0.135736i
\(561\) 0.508062 0.927861i 0.0214504 0.0391743i
\(562\) −79.7617 −3.36454
\(563\) −2.83053 4.90262i −0.119293 0.206621i 0.800195 0.599740i \(-0.204729\pi\)
−0.919488 + 0.393119i \(0.871396\pi\)
\(564\) 2.07960 + 91.8856i 0.0875669 + 3.86908i
\(565\) −0.550243 0.550243i −0.0231489 0.0231489i
\(566\) −51.6949 + 13.8516i −2.17290 + 0.582226i
\(567\) −8.86830 1.53404i −0.372434 0.0644235i
\(568\) −2.33078 + 4.03702i −0.0977972 + 0.169390i
\(569\) 6.07162 10.5164i 0.254536 0.440869i −0.710234 0.703966i \(-0.751411\pi\)
0.964769 + 0.263097i \(0.0847440\pi\)
\(570\) −2.04306 + 1.24203i −0.0855742 + 0.0520228i
\(571\) 7.65598 + 4.42018i 0.320393 + 0.184979i 0.651568 0.758591i \(-0.274112\pi\)
−0.331175 + 0.943569i \(0.607445\pi\)
\(572\) −0.835244 + 2.69123i −0.0349233 + 0.112526i
\(573\) −4.98296 + 20.4355i −0.208166 + 0.853707i
\(574\) −13.0815 + 3.50518i −0.546012 + 0.146304i
\(575\) 28.2872 16.3316i 1.17966 0.681076i
\(576\) −69.4310 + 133.906i −2.89296 + 5.57942i
\(577\) −1.25084 1.25084i −0.0520733 0.0520733i 0.680591 0.732664i \(-0.261723\pi\)
−0.732664 + 0.680591i \(0.761723\pi\)
\(578\) −8.39135 + 8.39135i −0.349034 + 0.349034i
\(579\) −13.1135 + 7.97207i −0.544980 + 0.331308i
\(580\) 5.25345 + 19.6061i 0.218138 + 0.814101i
\(581\) 4.63350 2.67515i 0.192230 0.110984i
\(582\) −45.3083 + 47.4067i −1.87809 + 1.96507i
\(583\) −0.329304 1.22898i −0.0136384 0.0508992i
\(584\) 29.2213 1.20919
\(585\) 0.970134 + 3.53387i 0.0401101 + 0.146108i
\(586\) 4.66898 0.192874
\(587\) −6.70781 25.0339i −0.276861 1.03326i −0.954584 0.297942i \(-0.903700\pi\)
0.677723 0.735317i \(-0.262967\pi\)
\(588\) 2.86519 + 9.80038i 0.118158 + 0.404161i
\(589\) 5.12082 2.95651i 0.211000 0.121821i
\(590\) −1.71807 6.41191i −0.0707316 0.263974i
\(591\) −2.63271 1.44157i −0.108295 0.0592983i
\(592\) 27.2429 27.2429i 1.11968 1.11968i
\(593\) −16.9201 16.9201i −0.694827 0.694827i 0.268463 0.963290i \(-0.413484\pi\)
−0.963290 + 0.268463i \(0.913484\pi\)
\(594\) −0.372993 + 1.89933i −0.0153041 + 0.0779305i
\(595\) −1.35168 + 0.780393i −0.0554135 + 0.0319930i
\(596\) −54.5750 + 14.6233i −2.23548 + 0.598995i
\(597\) −29.4418 28.1386i −1.20497 1.15164i
\(598\) 45.9868 + 49.7345i 1.88054 + 2.03379i
\(599\) 12.0518 + 6.95812i 0.492424 + 0.284301i 0.725579 0.688138i \(-0.241572\pi\)
−0.233156 + 0.972439i \(0.574905\pi\)
\(600\) 81.2269 + 44.4769i 3.31608 + 1.81576i
\(601\) −12.9219 + 22.3815i −0.527097 + 0.912958i 0.472405 + 0.881382i \(0.343386\pi\)
−0.999501 + 0.0315766i \(0.989947\pi\)
\(602\) −1.20952 + 2.09496i −0.0492965 + 0.0853841i
\(603\) 4.65773 + 14.6892i 0.189678 + 0.598191i
\(604\) −9.27931 + 2.48638i −0.377570 + 0.101170i
\(605\) 2.63099 + 2.63099i 0.106965 + 0.106965i
\(606\) −0.799408 0.437726i −0.0324737 0.0177814i
\(607\) 9.76518 + 16.9138i 0.396356 + 0.686509i 0.993273 0.115794i \(-0.0369411\pi\)
−0.596917 + 0.802303i \(0.703608\pi\)
\(608\) −45.5200 −1.84608
\(609\) −17.5983 + 0.398294i −0.713120 + 0.0161397i
\(610\) 8.72353 5.03653i 0.353206 0.203923i
\(611\) 7.16703 + 31.6535i 0.289947 + 1.28056i
\(612\) 37.5032 72.3296i 1.51598 2.92375i
\(613\) 8.01564 29.9148i 0.323749 1.20825i −0.591815 0.806074i \(-0.701588\pi\)
0.915564 0.402173i \(-0.131745\pi\)
\(614\) −43.2217 24.9541i −1.74429 1.00706i
\(615\) 2.04468 + 1.95417i 0.0824494 + 0.0787999i
\(616\) 1.40152 0.375535i 0.0564687 0.0151308i
\(617\) −18.2767 4.89723i −0.735793 0.197155i −0.128586 0.991698i \(-0.541044\pi\)
−0.607208 + 0.794543i \(0.707710\pi\)
\(618\) 17.7338 32.3867i 0.713357 1.30279i
\(619\) −36.5054 9.78160i −1.46728 0.393156i −0.565280 0.824899i \(-0.691232\pi\)
−0.901997 + 0.431743i \(0.857899\pi\)
\(620\) 7.05290 + 4.07200i 0.283251 + 0.163535i
\(621\) 26.1763 + 22.8434i 1.05042 + 0.916675i
\(622\) −25.3043 6.78027i −1.01461 0.271864i
\(623\) 4.41119 + 7.64040i 0.176730 + 0.306106i
\(624\) −32.5323 + 113.862i −1.30233 + 4.55811i
\(625\) 11.6457 20.1710i 0.465829 0.806840i
\(626\) −63.5323 + 63.5323i −2.53926 + 2.53926i
\(627\) −0.319600 + 0.0934365i −0.0127636 + 0.00373150i
\(628\) 73.7534i 2.94308i
\(629\) −6.61876 + 6.61876i −0.263907 + 0.263907i
\(630\) 1.92596 2.10868i 0.0767322 0.0840120i
\(631\) −3.44187 12.8452i −0.137019 0.511360i −0.999981 0.00609291i \(-0.998061\pi\)
0.862963 0.505267i \(-0.168606\pi\)
\(632\) 7.08421 26.4386i 0.281795 1.05167i
\(633\) 33.1146 + 8.07461i 1.31619 + 0.320937i
\(634\) 45.5775i 1.81011i
\(635\) −0.0158857 0.0158857i −0.000630406 0.000630406i
\(636\) −27.4978 94.0562i −1.09036 3.72957i
\(637\) 1.67924 + 3.19064i 0.0665337 + 0.126418i
\(638\) 3.78580i 0.149881i
\(639\) −0.274534 + 1.24793i −0.0108604 + 0.0493674i
\(640\) −13.2964 23.0300i −0.525585 0.910341i
\(641\) 20.9390 0.827039 0.413520 0.910495i \(-0.364299\pi\)
0.413520 + 0.910495i \(0.364299\pi\)
\(642\) 46.1016 + 75.8341i 1.81948 + 2.99293i
\(643\) −11.0149 + 41.1082i −0.434386 + 1.62115i 0.308146 + 0.951339i \(0.400291\pi\)
−0.742532 + 0.669811i \(0.766375\pi\)
\(644\) 10.2015 38.0724i 0.401995 1.50026i
\(645\) 0.505069 0.0114310i 0.0198871 0.000450094i
\(646\) 18.7709 0.738532
\(647\) 14.5792 + 25.2519i 0.573167 + 0.992754i 0.996238 + 0.0866577i \(0.0276187\pi\)
−0.423071 + 0.906096i \(0.639048\pi\)
\(648\) −16.7893 + 97.0595i −0.659548 + 3.81286i
\(649\) 0.924456i 0.0362881i
\(650\) 47.2678 + 14.6699i 1.85400 + 0.575402i
\(651\) −4.87981 + 5.10581i −0.191255 + 0.200112i
\(652\) 47.5741 + 47.5741i 1.86315 + 1.86315i
\(653\) 33.0357i 1.29279i −0.763005 0.646393i \(-0.776277\pi\)
0.763005 0.646393i \(-0.223723\pi\)
\(654\) 18.3573 19.2074i 0.717826 0.751071i
\(655\) 0.886609 3.30887i 0.0346427 0.129288i
\(656\) 23.6547 + 88.2805i 0.923560 + 3.44677i
\(657\) 7.63519 2.42101i 0.297877 0.0944525i
\(658\) 17.8842 17.8842i 0.697200 0.697200i
\(659\) 2.61947i 0.102040i −0.998698 0.0510201i \(-0.983753\pi\)
0.998698 0.0510201i \(-0.0162473\pi\)
\(660\) −0.331541 0.316866i −0.0129052 0.0123340i
\(661\) 25.8140 25.8140i 1.00405 1.00405i 0.00405685 0.999992i \(-0.498709\pi\)
0.999992 0.00405685i \(-0.00129134\pi\)
\(662\) −17.7404 + 30.7272i −0.689498 + 1.19425i
\(663\) 7.90384 27.6630i 0.306960 1.07434i
\(664\) −29.2783 50.7116i −1.13622 1.96799i
\(665\) 0.474545 + 0.127154i 0.0184021 + 0.00493082i
\(666\) 7.88373 15.2047i 0.305488 0.589172i
\(667\) 58.8475 + 33.9756i 2.27858 + 1.31554i
\(668\) −118.788 31.8293i −4.59606 1.23151i
\(669\) −20.8651 + 0.472229i −0.806690 + 0.0182574i
\(670\) −4.72323 1.26558i −0.182474 0.0488938i
\(671\) 1.35503 0.363079i 0.0523103 0.0140165i
\(672\) 52.1861 15.2568i 2.01312 0.588546i
\(673\) −29.7627 17.1835i −1.14727 0.662375i −0.199047 0.979990i \(-0.563785\pi\)
−0.948220 + 0.317615i \(0.897118\pi\)
\(674\) −8.12983 + 30.3409i −0.313149 + 1.16869i
\(675\) 24.9086 + 4.89158i 0.958732 + 0.188277i
\(676\) −5.99182 + 76.4018i −0.230455 + 2.93853i
\(677\) 13.8230 7.98072i 0.531262 0.306724i −0.210268 0.977644i \(-0.567434\pi\)
0.741530 + 0.670920i \(0.234100\pi\)
\(678\) −5.80674 9.55171i −0.223006 0.366831i
\(679\) 13.4743 0.517097
\(680\) 8.54105 + 14.7935i 0.327534 + 0.567306i
\(681\) −25.3808 + 15.4296i −0.972593 + 0.591265i
\(682\) 1.07407 + 1.07407i 0.0411282 + 0.0411282i
\(683\) −11.1931 + 2.99919i −0.428292 + 0.114761i −0.466525 0.884508i \(-0.654494\pi\)
0.0382320 + 0.999269i \(0.487827\pi\)
\(684\) −24.4460 + 7.75146i −0.934716 + 0.296385i
\(685\) −1.40631 + 2.43580i −0.0537323 + 0.0930670i
\(686\) 1.40491 2.43338i 0.0536398 0.0929068i
\(687\) −0.165783 7.32498i −0.00632500 0.279466i
\(688\) 14.1378 + 8.16245i 0.538998 + 0.311191i
\(689\) −16.1160 30.6212i −0.613969 1.16657i
\(690\) −10.5813 + 3.09351i −0.402825 + 0.117768i
\(691\) −7.26444 + 1.94650i −0.276352 + 0.0740484i −0.394333 0.918967i \(-0.629024\pi\)
0.117981 + 0.993016i \(0.462358\pi\)
\(692\) −60.9412 + 35.1844i −2.31664 + 1.33751i
\(693\) 0.335087 0.214240i 0.0127289 0.00813829i
\(694\) 49.8752 + 49.8752i 1.89324 + 1.89324i
\(695\) −1.80064 + 1.80064i −0.0683020 + 0.0683020i
\(696\) 4.35915 + 192.606i 0.165233 + 7.30070i
\(697\) −5.74698 21.4480i −0.217683 0.812402i
\(698\) 13.9266 8.04053i 0.527130 0.304338i
\(699\) −13.9645 3.40506i −0.528184 0.128791i
\(700\) −7.45370 27.8176i −0.281723 1.05141i
\(701\) 4.10131 0.154904 0.0774521 0.996996i \(-0.475322\pi\)
0.0774521 + 0.996996i \(0.475322\pi\)
\(702\) 1.51343 + 52.6203i 0.0571206 + 1.98602i
\(703\) 2.94633 0.111123
\(704\) −1.72519 6.43850i −0.0650206 0.242660i
\(705\) −5.13169 1.25130i −0.193271 0.0471267i
\(706\) 33.7726 19.4986i 1.27105 0.733840i
\(707\) 0.0484694 + 0.180890i 0.00182288 + 0.00680308i
\(708\) −1.61103 71.1820i −0.0605461 2.67518i
\(709\) −10.3406 + 10.3406i −0.388351 + 0.388351i −0.874099 0.485748i \(-0.838547\pi\)
0.485748 + 0.874099i \(0.338547\pi\)
\(710\) −0.286703 0.286703i −0.0107598 0.0107598i
\(711\) −0.339436 7.49503i −0.0127299 0.281086i
\(712\) 83.6208 48.2785i 3.13382 1.80931i
\(713\) 26.3348 7.05639i 0.986246 0.264264i
\(714\) −21.5198 + 6.29142i −0.805359 + 0.235450i
\(715\) −0.136972 0.0863966i −0.00512246 0.00323105i
\(716\) −28.3263 16.3542i −1.05860 0.611185i
\(717\) −0.495103 21.8758i −0.0184900 0.816965i
\(718\) 10.6164 18.3882i 0.396202 0.686242i
\(719\) −5.22428 + 9.04872i −0.194833 + 0.337460i −0.946846 0.321688i \(-0.895750\pi\)
0.752013 + 0.659148i \(0.229083\pi\)
\(720\) −14.2304 12.9973i −0.530336 0.484382i
\(721\) −7.32848 + 1.96366i −0.272927 + 0.0731305i
\(722\) 33.5721 + 33.5721i 1.24942 + 1.24942i
\(723\) 34.5226 20.9872i 1.28391 0.780521i
\(724\) 13.3400 + 23.1055i 0.495777 + 0.858711i
\(725\) 49.6484 1.84390
\(726\) 27.7649 + 45.6715i 1.03045 + 1.69503i
\(727\) 10.4651 6.04202i 0.388129 0.224086i −0.293220 0.956045i \(-0.594727\pi\)
0.681349 + 0.731959i \(0.261394\pi\)
\(728\) 34.9201 18.3785i 1.29422 0.681152i
\(729\) 3.65459 + 26.7515i 0.135355 + 0.990797i
\(730\) −0.657828 + 2.45505i −0.0243473 + 0.0908654i
\(731\) −3.43482 1.98310i −0.127042 0.0733475i
\(732\) 103.703 30.3180i 3.83297 1.12059i
\(733\) −42.2002 + 11.3075i −1.55870 + 0.417652i −0.932252 0.361811i \(-0.882159\pi\)
−0.626448 + 0.779463i \(0.715492\pi\)
\(734\) −20.9493 5.61334i −0.773252 0.207192i
\(735\) −0.586658 + 0.0132775i −0.0216392 + 0.000489749i
\(736\) −202.732 54.3219i −7.47281 2.00233i
\(737\) −0.589751 0.340493i −0.0217237 0.0125422i
\(738\) 21.8856 + 34.2306i 0.805618 + 1.26005i
\(739\) −11.1838 2.99669i −0.411402 0.110235i 0.0471809 0.998886i \(-0.484976\pi\)
−0.458583 + 0.888651i \(0.651643\pi\)
\(740\) 2.02899 + 3.51432i 0.0745872 + 0.129189i
\(741\) −7.91628 + 4.39790i −0.290812 + 0.161561i
\(742\) −13.4832 + 23.3536i −0.494984 + 0.857338i
\(743\) −3.27402 + 3.27402i −0.120112 + 0.120112i −0.764608 0.644496i \(-0.777067\pi\)
0.644496 + 0.764608i \(0.277067\pi\)
\(744\) 55.8808 + 53.4073i 2.04869 + 1.95801i
\(745\) 3.24708i 0.118964i
\(746\) 53.9963 53.9963i 1.97695 1.97695i
\(747\) −11.8516 10.8246i −0.433626 0.396052i
\(748\) 0.931864 + 3.47776i 0.0340723 + 0.127160i
\(749\) 4.71970 17.6142i 0.172454 0.643607i
\(750\) −11.2614 + 11.7830i −0.411209 + 0.430253i
\(751\) 13.5965i 0.496144i −0.968742 0.248072i \(-0.920203\pi\)
0.968742 0.248072i \(-0.0797969\pi\)
\(752\) −120.691 120.691i −4.40116 4.40116i
\(753\) 20.5540 21.5060i 0.749031 0.783721i
\(754\) 22.7370 + 100.419i 0.828033 + 3.65704i
\(755\) 0.552098i 0.0200929i
\(756\) 25.4279 17.0801i 0.924805 0.621199i
\(757\) −10.2620 17.7744i −0.372980 0.646020i 0.617042 0.786930i \(-0.288331\pi\)
−0.990022 + 0.140910i \(0.954997\pi\)
\(758\) −39.9486 −1.45100
\(759\) −1.53491 + 0.0347387i −0.0557135 + 0.00126094i
\(760\) 1.39164 5.19368i 0.0504802 0.188395i
\(761\) 9.13256 34.0832i 0.331055 1.23551i −0.577028 0.816725i \(-0.695788\pi\)
0.908083 0.418790i \(-0.137546\pi\)
\(762\) −0.167643 0.275762i −0.00607306 0.00998979i
\(763\) −5.45930 −0.197640
\(764\) −35.7955 61.9996i −1.29504 2.24307i
\(765\) 3.45733 + 3.15774i 0.125000 + 0.114168i
\(766\) 76.3305i 2.75793i
\(767\) −5.55216 24.5214i −0.200477 0.885415i
\(768\) −58.3198 199.483i −2.10443 7.19822i
\(769\) −26.4103 26.4103i −0.952378 0.952378i 0.0465385 0.998916i \(-0.485181\pi\)
−0.998916 + 0.0465385i \(0.985181\pi\)
\(770\) 0.126203i 0.00454805i
\(771\) −22.8326 5.56746i −0.822297 0.200507i
\(772\) 13.5189 50.4531i 0.486554 1.81585i
\(773\) 6.35455 + 23.7155i 0.228557 + 0.852988i 0.980948