Properties

Label 546.2.bu.b.197.5
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.5
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.984178 - 1.42527i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.05727 - 1.05727i) q^{5} +(1.12198 + 1.31953i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.06279 - 2.80544i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.984178 - 1.42527i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.05727 - 1.05727i) q^{5} +(1.12198 + 1.31953i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.06279 - 2.80544i) q^{9} +(1.29489 - 0.747605i) q^{10} +(2.11737 + 0.567347i) q^{11} +(-1.56496 + 0.742231i) q^{12} +(-1.77553 - 3.13807i) q^{13} -1.00000i q^{14} +(-2.54744 + 0.466355i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.61760 + 4.53382i) q^{17} +(2.98491 - 0.300474i) q^{18} +(-2.01058 - 7.50359i) q^{19} +(0.386989 + 1.44426i) q^{20} +(-0.581756 + 1.63143i) q^{21} +(-1.09603 + 1.89838i) q^{22} +(-1.89764 - 3.28680i) q^{23} +(-0.311899 - 1.70374i) q^{24} -2.76435i q^{25} +(3.49069 - 0.902835i) q^{26} +(-5.04448 - 1.24629i) q^{27} +(0.965926 + 0.258819i) q^{28} +(6.69332 - 3.86439i) q^{29} +(0.208863 - 2.58134i) q^{30} +(-3.28024 + 3.28024i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(2.89249 - 2.45945i) q^{33} +(-3.70185 - 3.70185i) q^{34} +(1.29489 + 0.747605i) q^{35} +(-0.482317 + 2.96097i) q^{36} +(0.896760 - 3.34675i) q^{37} +7.76829 q^{38} +(-6.22004 - 0.557815i) q^{39} -1.49521 q^{40} +(-2.92345 + 10.9105i) q^{41} +(-1.42527 - 0.984178i) q^{42} +(-8.42241 - 4.86268i) q^{43} +(-1.55002 - 1.55002i) q^{44} +(-1.84246 + 4.08977i) q^{45} +(3.66595 - 0.982289i) q^{46} +(1.61934 - 1.61934i) q^{47} +(1.72641 + 0.139688i) q^{48} +(0.866025 - 0.500000i) q^{49} +(2.67015 + 0.715466i) q^{50} +(3.88573 + 8.19287i) q^{51} +(-0.0313841 + 3.60541i) q^{52} -7.90385i q^{53} +(2.50943 - 4.55003i) q^{54} +(-1.63879 - 2.83848i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(-12.6734 - 4.51925i) q^{57} +(2.00035 + 7.46542i) q^{58} +(3.07907 + 11.4912i) q^{59} +(2.43933 + 0.869847i) q^{60} +(3.28906 - 5.69681i) q^{61} +(-2.31948 - 4.01746i) q^{62} +(1.75268 + 2.43477i) q^{63} -1.00000i q^{64} +(-1.44058 + 5.19502i) q^{65} +(1.62702 + 3.43048i) q^{66} +(15.4661 + 4.14413i) q^{67} +(4.53382 - 2.61760i) q^{68} +(-6.55219 - 0.530154i) q^{69} +(-1.05727 + 1.05727i) q^{70} +(9.79449 - 2.62443i) q^{71} +(-2.73525 - 1.23224i) q^{72} +(1.17055 + 1.17055i) q^{73} +(3.00062 + 1.73241i) q^{74} +(-3.93994 - 2.72061i) q^{75} +(-2.01058 + 7.50359i) q^{76} -2.19206 q^{77} +(2.14867 - 5.86372i) q^{78} +15.2544 q^{79} +(0.386989 - 1.44426i) q^{80} +(-6.74096 + 5.96317i) q^{81} +(-9.78207 - 5.64768i) q^{82} +(1.82647 + 1.82647i) q^{83} +(1.31953 - 1.12198i) q^{84} +(7.56100 - 2.02596i) q^{85} +(6.87687 - 6.87687i) q^{86} +(1.07962 - 13.3430i) q^{87} +(1.89838 - 1.09603i) q^{88} +(2.44499 + 0.655132i) q^{89} +(-3.47355 - 2.83819i) q^{90} +(2.52722 + 2.57161i) q^{91} +3.79527i q^{92} +(1.44689 + 7.90357i) q^{93} +(1.14504 + 1.98327i) q^{94} +(-5.80761 + 10.0591i) q^{95} +(-0.581756 + 1.63143i) q^{96} +(3.53642 + 13.1981i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-0.658658 - 6.54311i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 0.984178 1.42527i 0.568215 0.822880i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −1.05727 1.05727i −0.472827 0.472827i 0.430001 0.902828i \(-0.358513\pi\)
−0.902828 + 0.430001i \(0.858513\pi\)
\(6\) 1.12198 + 1.31953i 0.458047 + 0.538696i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.06279 2.80544i −0.354263 0.935146i
\(10\) 1.29489 0.747605i 0.409480 0.236413i
\(11\) 2.11737 + 0.567347i 0.638410 + 0.171062i 0.563483 0.826127i \(-0.309461\pi\)
0.0749271 + 0.997189i \(0.476128\pi\)
\(12\) −1.56496 + 0.742231i −0.451764 + 0.214264i
\(13\) −1.77553 3.13807i −0.492443 0.870345i
\(14\) 1.00000i 0.267261i
\(15\) −2.54744 + 0.466355i −0.657747 + 0.120412i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.61760 + 4.53382i −0.634861 + 1.09961i 0.351683 + 0.936119i \(0.385609\pi\)
−0.986545 + 0.163493i \(0.947724\pi\)
\(18\) 2.98491 0.300474i 0.703551 0.0708225i
\(19\) −2.01058 7.50359i −0.461259 1.72144i −0.669004 0.743259i \(-0.733279\pi\)
0.207745 0.978183i \(-0.433387\pi\)
\(20\) 0.386989 + 1.44426i 0.0865333 + 0.322947i
\(21\) −0.581756 + 1.63143i −0.126949 + 0.356007i
\(22\) −1.09603 + 1.89838i −0.233674 + 0.404736i
\(23\) −1.89764 3.28680i −0.395684 0.685346i 0.597504 0.801866i \(-0.296159\pi\)
−0.993188 + 0.116520i \(0.962826\pi\)
\(24\) −0.311899 1.70374i −0.0636662 0.347774i
\(25\) 2.76435i 0.552869i
\(26\) 3.49069 0.902835i 0.684580 0.177061i
\(27\) −5.04448 1.24629i −0.970810 0.239848i
\(28\) 0.965926 + 0.258819i 0.182543 + 0.0489122i
\(29\) 6.69332 3.86439i 1.24292 0.717599i 0.273230 0.961949i \(-0.411908\pi\)
0.969687 + 0.244350i \(0.0785745\pi\)
\(30\) 0.208863 2.58134i 0.0381329 0.471287i
\(31\) −3.28024 + 3.28024i −0.589149 + 0.589149i −0.937401 0.348252i \(-0.886775\pi\)
0.348252 + 0.937401i \(0.386775\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 2.89249 2.45945i 0.503518 0.428135i
\(34\) −3.70185 3.70185i −0.634861 0.634861i
\(35\) 1.29489 + 0.747605i 0.218876 + 0.126368i
\(36\) −0.482317 + 2.96097i −0.0803862 + 0.493496i
\(37\) 0.896760 3.34675i 0.147426 0.550203i −0.852209 0.523202i \(-0.824738\pi\)
0.999635 0.0270013i \(-0.00859582\pi\)
\(38\) 7.76829 1.26018
\(39\) −6.22004 0.557815i −0.996003 0.0893218i
\(40\) −1.49521 −0.236413
\(41\) −2.92345 + 10.9105i −0.456567 + 1.70393i 0.226873 + 0.973924i \(0.427150\pi\)
−0.683440 + 0.730007i \(0.739517\pi\)
\(42\) −1.42527 0.984178i −0.219924 0.151862i
\(43\) −8.42241 4.86268i −1.28440 0.741552i −0.306755 0.951789i \(-0.599243\pi\)
−0.977650 + 0.210237i \(0.932576\pi\)
\(44\) −1.55002 1.55002i −0.233674 0.233674i
\(45\) −1.84246 + 4.08977i −0.274657 + 0.609667i
\(46\) 3.66595 0.982289i 0.540515 0.144831i
\(47\) 1.61934 1.61934i 0.236205 0.236205i −0.579072 0.815276i \(-0.696585\pi\)
0.815276 + 0.579072i \(0.196585\pi\)
\(48\) 1.72641 + 0.139688i 0.249186 + 0.0201622i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 2.67015 + 0.715466i 0.377617 + 0.101182i
\(51\) 3.88573 + 8.19287i 0.544111 + 1.14723i
\(52\) −0.0313841 + 3.60541i −0.00435219 + 0.499981i
\(53\) 7.90385i 1.08568i −0.839837 0.542838i \(-0.817350\pi\)
0.839837 0.542838i \(-0.182650\pi\)
\(54\) 2.50943 4.55003i 0.341490 0.619181i
\(55\) −1.63879 2.83848i −0.220975 0.382740i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) −12.6734 4.51925i −1.67863 0.598589i
\(58\) 2.00035 + 7.46542i 0.262659 + 0.980258i
\(59\) 3.07907 + 11.4912i 0.400861 + 1.49603i 0.811564 + 0.584263i \(0.198616\pi\)
−0.410703 + 0.911769i \(0.634717\pi\)
\(60\) 2.43933 + 0.869847i 0.314916 + 0.112297i
\(61\) 3.28906 5.69681i 0.421120 0.729402i −0.574929 0.818203i \(-0.694970\pi\)
0.996049 + 0.0888014i \(0.0283037\pi\)
\(62\) −2.31948 4.01746i −0.294574 0.510218i
\(63\) 1.75268 + 2.43477i 0.220816 + 0.306753i
\(64\) 1.00000i 0.125000i
\(65\) −1.44058 + 5.19502i −0.178682 + 0.644363i
\(66\) 1.62702 + 3.43048i 0.200272 + 0.422263i
\(67\) 15.4661 + 4.14413i 1.88949 + 0.506286i 0.998649 + 0.0519651i \(0.0165485\pi\)
0.890838 + 0.454321i \(0.150118\pi\)
\(68\) 4.53382 2.61760i 0.549806 0.317431i
\(69\) −6.55219 0.530154i −0.788791 0.0638230i
\(70\) −1.05727 + 1.05727i −0.126368 + 0.126368i
\(71\) 9.79449 2.62443i 1.16239 0.311462i 0.374471 0.927238i \(-0.377824\pi\)
0.787921 + 0.615776i \(0.211158\pi\)
\(72\) −2.73525 1.23224i −0.322352 0.145221i
\(73\) 1.17055 + 1.17055i 0.137003 + 0.137003i 0.772282 0.635280i \(-0.219115\pi\)
−0.635280 + 0.772282i \(0.719115\pi\)
\(74\) 3.00062 + 1.73241i 0.348815 + 0.201388i
\(75\) −3.93994 2.72061i −0.454945 0.314149i
\(76\) −2.01058 + 7.50359i −0.230629 + 0.860721i
\(77\) −2.19206 −0.249808
\(78\) 2.14867 5.86372i 0.243289 0.663936i
\(79\) 15.2544 1.71626 0.858130 0.513433i \(-0.171626\pi\)
0.858130 + 0.513433i \(0.171626\pi\)
\(80\) 0.386989 1.44426i 0.0432667 0.161473i
\(81\) −6.74096 + 5.96317i −0.748996 + 0.662575i
\(82\) −9.78207 5.64768i −1.08025 0.623682i
\(83\) 1.82647 + 1.82647i 0.200482 + 0.200482i 0.800206 0.599725i \(-0.204723\pi\)
−0.599725 + 0.800206i \(0.704723\pi\)
\(84\) 1.31953 1.12198i 0.143972 0.122418i
\(85\) 7.56100 2.02596i 0.820106 0.219747i
\(86\) 6.87687 6.87687i 0.741552 0.741552i
\(87\) 1.07962 13.3430i 0.115747 1.43052i
\(88\) 1.89838 1.09603i 0.202368 0.116837i
\(89\) 2.44499 + 0.655132i 0.259168 + 0.0694439i 0.386063 0.922472i \(-0.373835\pi\)
−0.126895 + 0.991916i \(0.540501\pi\)
\(90\) −3.47355 2.83819i −0.366145 0.299171i
\(91\) 2.52722 + 2.57161i 0.264925 + 0.269577i
\(92\) 3.79527i 0.395684i
\(93\) 1.44689 + 7.90357i 0.150035 + 0.819562i
\(94\) 1.14504 + 1.98327i 0.118102 + 0.204559i
\(95\) −5.80761 + 10.0591i −0.595848 + 1.03204i
\(96\) −0.581756 + 1.63143i −0.0593752 + 0.166507i
\(97\) 3.53642 + 13.1981i 0.359070 + 1.34007i 0.875285 + 0.483607i \(0.160674\pi\)
−0.516216 + 0.856459i \(0.672660\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −0.658658 6.54311i −0.0661976 0.657608i
\(100\) −1.38217 + 2.39399i −0.138217 + 0.239399i
\(101\) −4.30170 7.45077i −0.428035 0.741379i 0.568663 0.822570i \(-0.307461\pi\)
−0.996699 + 0.0811915i \(0.974127\pi\)
\(102\) −8.91940 + 1.63286i −0.883153 + 0.161677i
\(103\) 6.73155i 0.663280i 0.943406 + 0.331640i \(0.107602\pi\)
−0.943406 + 0.331640i \(0.892398\pi\)
\(104\) −3.47444 0.963465i −0.340697 0.0944755i
\(105\) 2.33994 1.10979i 0.228355 0.108305i
\(106\) 7.63453 + 2.04567i 0.741531 + 0.198693i
\(107\) 0.624663 0.360649i 0.0603884 0.0348653i −0.469502 0.882932i \(-0.655566\pi\)
0.529890 + 0.848066i \(0.322233\pi\)
\(108\) 3.74550 + 3.60156i 0.360411 + 0.346560i
\(109\) 1.35124 1.35124i 0.129426 0.129426i −0.639427 0.768852i \(-0.720828\pi\)
0.768852 + 0.639427i \(0.220828\pi\)
\(110\) 3.16591 0.848303i 0.301858 0.0808825i
\(111\) −3.88746 4.57192i −0.368981 0.433948i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 2.21231 + 1.27728i 0.208117 + 0.120156i 0.600436 0.799673i \(-0.294994\pi\)
−0.392319 + 0.919829i \(0.628327\pi\)
\(114\) 7.64538 11.0719i 0.716055 1.03698i
\(115\) −1.46873 + 5.48137i −0.136960 + 0.511140i
\(116\) −7.72878 −0.717599
\(117\) −6.91666 + 8.31624i −0.639445 + 0.768837i
\(118\) −11.8966 −1.09517
\(119\) 1.35497 5.05682i 0.124210 0.463557i
\(120\) −1.47155 + 2.13108i −0.134334 + 0.194540i
\(121\) −5.36492 3.09744i −0.487720 0.281585i
\(122\) 4.65143 + 4.65143i 0.421120 + 0.421120i
\(123\) 12.6732 + 14.9046i 1.14270 + 1.34390i
\(124\) 4.48089 1.20065i 0.402396 0.107822i
\(125\) −8.20904 + 8.20904i −0.734238 + 0.734238i
\(126\) −2.80544 + 1.06279i −0.249928 + 0.0946807i
\(127\) −1.26873 + 0.732503i −0.112582 + 0.0649992i −0.555234 0.831694i \(-0.687371\pi\)
0.442652 + 0.896694i \(0.354038\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −15.2198 + 7.21846i −1.34003 + 0.635550i
\(130\) −4.64515 2.73606i −0.407407 0.239969i
\(131\) 3.47622i 0.303719i −0.988402 0.151859i \(-0.951474\pi\)
0.988402 0.151859i \(-0.0485261\pi\)
\(132\) −3.73469 + 0.683702i −0.325063 + 0.0595086i
\(133\) 3.88414 + 6.72753i 0.336798 + 0.583351i
\(134\) −8.00585 + 13.8665i −0.691600 + 1.19789i
\(135\) 4.01572 + 6.65106i 0.345619 + 0.572432i
\(136\) 1.35497 + 5.05682i 0.116188 + 0.433618i
\(137\) −1.32711 4.95285i −0.113383 0.423151i 0.885778 0.464109i \(-0.153625\pi\)
−0.999161 + 0.0409586i \(0.986959\pi\)
\(138\) 2.20792 6.19172i 0.187951 0.527074i
\(139\) 7.55192 13.0803i 0.640546 1.10946i −0.344765 0.938689i \(-0.612042\pi\)
0.985311 0.170769i \(-0.0546251\pi\)
\(140\) −0.747605 1.29489i −0.0631842 0.109438i
\(141\) −0.714277 3.90171i −0.0601530 0.328583i
\(142\) 10.1400i 0.850930i
\(143\) −1.97907 7.65179i −0.165498 0.639875i
\(144\) 1.89819 2.32312i 0.158182 0.193593i
\(145\) −11.1624 2.99095i −0.926985 0.248385i
\(146\) −1.43363 + 0.827705i −0.118648 + 0.0685013i
\(147\) 0.139688 1.72641i 0.0115213 0.142392i
\(148\) −2.44999 + 2.44999i −0.201388 + 0.201388i
\(149\) −14.0304 + 3.75943i −1.14941 + 0.307985i −0.782730 0.622361i \(-0.786174\pi\)
−0.366684 + 0.930346i \(0.619507\pi\)
\(150\) 3.64764 3.10155i 0.297828 0.253240i
\(151\) −5.31083 5.31083i −0.432189 0.432189i 0.457183 0.889372i \(-0.348858\pi\)
−0.889372 + 0.457183i \(0.848858\pi\)
\(152\) −6.72753 3.88414i −0.545675 0.315046i
\(153\) 15.5013 + 2.52503i 1.25321 + 0.204136i
\(154\) 0.567347 2.11737i 0.0457181 0.170622i
\(155\) 6.93622 0.557131
\(156\) 5.10780 + 3.59310i 0.408951 + 0.287678i
\(157\) −21.4186 −1.70939 −0.854695 0.519130i \(-0.826256\pi\)
−0.854695 + 0.519130i \(0.826256\pi\)
\(158\) −3.94814 + 14.7347i −0.314097 + 1.17223i
\(159\) −11.2651 7.77879i −0.893382 0.616898i
\(160\) 1.29489 + 0.747605i 0.102370 + 0.0591034i
\(161\) 2.68366 + 2.68366i 0.211502 + 0.211502i
\(162\) −4.01529 8.05465i −0.315471 0.632833i
\(163\) 4.07472 1.09182i 0.319157 0.0855177i −0.0956843 0.995412i \(-0.530504\pi\)
0.414841 + 0.909894i \(0.363837\pi\)
\(164\) 7.98703 7.98703i 0.623682 0.623682i
\(165\) −5.65846 0.457840i −0.440511 0.0356428i
\(166\) −2.23696 + 1.29151i −0.173622 + 0.100241i
\(167\) 12.0719 + 3.23465i 0.934149 + 0.250305i 0.693623 0.720338i \(-0.256013\pi\)
0.240526 + 0.970643i \(0.422680\pi\)
\(168\) 0.742231 + 1.56496i 0.0572644 + 0.120739i
\(169\) −6.69500 + 11.1435i −0.515000 + 0.857190i
\(170\) 7.82772i 0.600359i
\(171\) −18.9140 + 13.6153i −1.44639 + 1.04119i
\(172\) 4.86268 + 8.42241i 0.370776 + 0.642202i
\(173\) 7.59905 13.1619i 0.577745 1.00068i −0.417993 0.908450i \(-0.637266\pi\)
0.995737 0.0922329i \(-0.0294004\pi\)
\(174\) 12.6089 + 4.49626i 0.955882 + 0.340861i
\(175\) 0.715466 + 2.67015i 0.0540841 + 0.201845i
\(176\) 0.567347 + 2.11737i 0.0427654 + 0.159603i
\(177\) 19.4085 + 6.92092i 1.45883 + 0.520208i
\(178\) −1.26562 + 2.19211i −0.0948621 + 0.164306i
\(179\) 8.74705 + 15.1503i 0.653785 + 1.13239i 0.982197 + 0.187855i \(0.0601533\pi\)
−0.328412 + 0.944535i \(0.606513\pi\)
\(180\) 3.64050 2.62062i 0.271347 0.195329i
\(181\) 2.69032i 0.199970i 0.994989 + 0.0999849i \(0.0318795\pi\)
−0.994989 + 0.0999849i \(0.968121\pi\)
\(182\) −3.13807 + 1.77553i −0.232609 + 0.131611i
\(183\) −4.88248 10.2945i −0.360923 0.760989i
\(184\) −3.66595 0.982289i −0.270257 0.0724153i
\(185\) −4.48655 + 2.59031i −0.329858 + 0.190444i
\(186\) −8.00874 0.648007i −0.587229 0.0475142i
\(187\) −8.11467 + 8.11467i −0.593403 + 0.593403i
\(188\) −2.21206 + 0.592719i −0.161331 + 0.0432284i
\(189\) 5.19516 0.101785i 0.377892 0.00740376i
\(190\) −8.21320 8.21320i −0.595848 0.595848i
\(191\) 6.61189 + 3.81738i 0.478420 + 0.276216i 0.719758 0.694225i \(-0.244253\pi\)
−0.241338 + 0.970441i \(0.577586\pi\)
\(192\) −1.42527 0.984178i −0.102860 0.0710269i
\(193\) 0.149710 0.558725i 0.0107764 0.0402179i −0.960328 0.278872i \(-0.910040\pi\)
0.971105 + 0.238654i \(0.0767062\pi\)
\(194\) −13.6637 −0.980996
\(195\) 5.98651 + 7.16604i 0.428703 + 0.513171i
\(196\) −1.00000 −0.0714286
\(197\) 2.62767 9.80658i 0.187213 0.698690i −0.806932 0.590644i \(-0.798874\pi\)
0.994146 0.108046i \(-0.0344595\pi\)
\(198\) 6.49063 + 1.05727i 0.461269 + 0.0751367i
\(199\) 14.7885 + 8.53813i 1.04833 + 0.605252i 0.922181 0.386759i \(-0.126406\pi\)
0.126147 + 0.992012i \(0.459739\pi\)
\(200\) −1.95469 1.95469i −0.138217 0.138217i
\(201\) 21.1279 17.9648i 1.49025 1.26714i
\(202\) 8.31025 2.22672i 0.584707 0.156672i
\(203\) −5.46507 + 5.46507i −0.383573 + 0.383573i
\(204\) 0.731294 9.03810i 0.0512008 0.632793i
\(205\) 14.6262 8.44447i 1.02154 0.589787i
\(206\) −6.50218 1.74225i −0.453028 0.121389i
\(207\) −7.20413 + 8.81687i −0.500722 + 0.612815i
\(208\) 1.82989 3.10669i 0.126880 0.215410i
\(209\) 17.0286i 1.17789i
\(210\) 0.466355 + 2.54744i 0.0321815 + 0.175790i
\(211\) 4.90384 + 8.49369i 0.337594 + 0.584730i 0.983980 0.178281i \(-0.0570536\pi\)
−0.646386 + 0.763011i \(0.723720\pi\)
\(212\) −3.95192 + 6.84493i −0.271419 + 0.470112i
\(213\) 5.89901 16.5427i 0.404193 1.13349i
\(214\) 0.186686 + 0.696721i 0.0127616 + 0.0476268i
\(215\) 3.76360 + 14.0460i 0.256676 + 0.957927i
\(216\) −4.44824 + 2.68573i −0.302665 + 0.182741i
\(217\) 2.31948 4.01746i 0.157457 0.272723i
\(218\) 0.955472 + 1.65493i 0.0647128 + 0.112086i
\(219\) 2.82038 0.516321i 0.190584 0.0348897i
\(220\) 3.27759i 0.220975i
\(221\) 18.8751 + 0.164302i 1.26967 + 0.0110521i
\(222\) 5.42229 2.57169i 0.363920 0.172601i
\(223\) 2.80512 + 0.751631i 0.187845 + 0.0503329i 0.351515 0.936182i \(-0.385667\pi\)
−0.163670 + 0.986515i \(0.552333\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) −7.75520 + 2.93792i −0.517014 + 0.195861i
\(226\) −1.80635 + 1.80635i −0.120156 + 0.120156i
\(227\) −2.49159 + 0.667619i −0.165373 + 0.0443115i −0.340555 0.940224i \(-0.610615\pi\)
0.175183 + 0.984536i \(0.443948\pi\)
\(228\) 8.71587 + 10.2505i 0.577223 + 0.678855i
\(229\) −15.0557 15.0557i −0.994910 0.994910i 0.00507662 0.999987i \(-0.498384\pi\)
−0.999987 + 0.00507662i \(0.998384\pi\)
\(230\) −4.91446 2.83736i −0.324050 0.187090i
\(231\) −2.15738 + 3.12428i −0.141945 + 0.205562i
\(232\) 2.00035 7.46542i 0.131330 0.490129i
\(233\) −26.4704 −1.73413 −0.867067 0.498191i \(-0.833998\pi\)
−0.867067 + 0.498191i \(0.833998\pi\)
\(234\) −6.24271 8.83338i −0.408099 0.577456i
\(235\) −3.42416 −0.223368
\(236\) 3.07907 11.4912i 0.200430 0.748016i
\(237\) 15.0131 21.7417i 0.975205 1.41228i
\(238\) 4.53382 + 2.61760i 0.293884 + 0.169674i
\(239\) −13.5227 13.5227i −0.874713 0.874713i 0.118269 0.992982i \(-0.462266\pi\)
−0.992982 + 0.118269i \(0.962266\pi\)
\(240\) −1.67760 1.97297i −0.108288 0.127355i
\(241\) 16.2783 4.36174i 1.04857 0.280965i 0.306912 0.951738i \(-0.400704\pi\)
0.741662 + 0.670773i \(0.234038\pi\)
\(242\) 4.38044 4.38044i 0.281585 0.281585i
\(243\) 1.86483 + 15.4765i 0.119629 + 0.992819i
\(244\) −5.69681 + 3.28906i −0.364701 + 0.210560i
\(245\) −1.44426 0.386989i −0.0922705 0.0247238i
\(246\) −17.6768 + 8.38377i −1.12703 + 0.534530i
\(247\) −19.9770 + 19.6322i −1.27110 + 1.24917i
\(248\) 4.63896i 0.294574i
\(249\) 4.40079 0.805644i 0.278889 0.0510556i
\(250\) −5.80466 10.0540i −0.367119 0.635869i
\(251\) 6.50358 11.2645i 0.410502 0.711010i −0.584443 0.811435i \(-0.698687\pi\)
0.994945 + 0.100425i \(0.0320201\pi\)
\(252\) −0.300474 2.98491i −0.0189281 0.188032i
\(253\) −2.15324 8.03598i −0.135373 0.505218i
\(254\) −0.379172 1.41509i −0.0237913 0.0887905i
\(255\) 4.55382 12.7704i 0.285171 0.799712i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −14.6976 25.4570i −0.916812 1.58797i −0.804226 0.594324i \(-0.797420\pi\)
−0.112587 0.993642i \(-0.535914\pi\)
\(258\) −3.03333 16.5694i −0.188847 1.03157i
\(259\) 3.46481i 0.215293i
\(260\) 3.84509 3.77873i 0.238462 0.234347i
\(261\) −17.9549 14.6707i −1.11138 0.908091i
\(262\) 3.35777 + 0.899712i 0.207444 + 0.0555844i
\(263\) 14.1187 8.15141i 0.870594 0.502638i 0.00304826 0.999995i \(-0.499030\pi\)
0.867546 + 0.497358i \(0.165696\pi\)
\(264\) 0.306204 3.78439i 0.0188456 0.232913i
\(265\) −8.35652 + 8.35652i −0.513337 + 0.513337i
\(266\) −7.50359 + 2.01058i −0.460075 + 0.123277i
\(267\) 3.34004 2.84000i 0.204407 0.173805i
\(268\) −11.3220 11.3220i −0.691600 0.691600i
\(269\) 12.4541 + 7.19038i 0.759340 + 0.438405i 0.829059 0.559162i \(-0.188877\pi\)
−0.0697188 + 0.997567i \(0.522210\pi\)
\(270\) −7.46378 + 2.15747i −0.454231 + 0.131300i
\(271\) 6.12198 22.8476i 0.371884 1.38789i −0.485960 0.873981i \(-0.661530\pi\)
0.857844 0.513909i \(-0.171803\pi\)
\(272\) −5.23520 −0.317431
\(273\) 6.15247 1.07106i 0.372364 0.0648233i
\(274\) 5.12757 0.309768
\(275\) 1.56834 5.85314i 0.0945747 0.352958i
\(276\) 5.40929 + 3.73522i 0.325601 + 0.224834i
\(277\) 6.24900 + 3.60786i 0.375466 + 0.216775i 0.675844 0.737045i \(-0.263779\pi\)
−0.300378 + 0.953820i \(0.597113\pi\)
\(278\) 10.6800 + 10.6800i 0.640546 + 0.640546i
\(279\) 12.6887 + 5.71631i 0.759653 + 0.342226i
\(280\) 1.44426 0.386989i 0.0863112 0.0231270i
\(281\) 7.15417 7.15417i 0.426782 0.426782i −0.460749 0.887531i \(-0.652419\pi\)
0.887531 + 0.460749i \(0.152419\pi\)
\(282\) 3.95363 + 0.319898i 0.235435 + 0.0190496i
\(283\) 16.0304 9.25515i 0.952908 0.550162i 0.0589247 0.998262i \(-0.481233\pi\)
0.893983 + 0.448101i \(0.147899\pi\)
\(284\) −9.79449 2.62443i −0.581196 0.155731i
\(285\) 8.62118 + 18.1773i 0.510675 + 1.07673i
\(286\) 7.90329 + 0.0687958i 0.467331 + 0.00406798i
\(287\) 11.2954i 0.666744i
\(288\) 1.75268 + 2.43477i 0.103277 + 0.143470i
\(289\) −5.20366 9.01301i −0.306098 0.530177i
\(290\) 5.77807 10.0079i 0.339300 0.587685i
\(291\) 22.2913 + 7.94893i 1.30674 + 0.465975i
\(292\) −0.428452 1.59900i −0.0250732 0.0935746i
\(293\) 0.127883 + 0.477267i 0.00747102 + 0.0278822i 0.969561 0.244851i \(-0.0787390\pi\)
−0.962090 + 0.272733i \(0.912072\pi\)
\(294\) 1.63143 + 0.581756i 0.0951469 + 0.0339287i
\(295\) 8.89396 15.4048i 0.517827 0.896902i
\(296\) −1.73241 3.00062i −0.100694 0.174407i
\(297\) −9.97394 5.50082i −0.578747 0.319190i
\(298\) 14.5253i 0.841429i
\(299\) −6.94492 + 11.7907i −0.401635 + 0.681875i
\(300\) 2.05178 + 4.32609i 0.118460 + 0.249767i
\(301\) 9.39397 + 2.51711i 0.541460 + 0.145084i
\(302\) 6.50441 3.75532i 0.374287 0.216094i
\(303\) −14.8530 1.20179i −0.853282 0.0690411i
\(304\) 5.49301 5.49301i 0.315046 0.315046i
\(305\) −9.50051 + 2.54566i −0.543998 + 0.145764i
\(306\) −6.45102 + 14.3196i −0.368780 + 0.818596i
\(307\) −8.78623 8.78623i −0.501456 0.501456i 0.410434 0.911890i \(-0.365377\pi\)
−0.911890 + 0.410434i \(0.865377\pi\)
\(308\) 1.89838 + 1.09603i 0.108170 + 0.0624521i
\(309\) 9.59428 + 6.62504i 0.545799 + 0.376886i
\(310\) −1.79523 + 6.69987i −0.101962 + 0.380527i
\(311\) 20.5980 1.16800 0.584002 0.811752i \(-0.301486\pi\)
0.584002 + 0.811752i \(0.301486\pi\)
\(312\) −4.79266 + 4.00379i −0.271331 + 0.226670i
\(313\) −8.51802 −0.481467 −0.240733 0.970591i \(-0.577388\pi\)
−0.240733 + 0.970591i \(0.577388\pi\)
\(314\) 5.54354 20.6888i 0.312840 1.16754i
\(315\) 0.721165 4.42728i 0.0406330 0.249449i
\(316\) −13.2107 7.62722i −0.743162 0.429065i
\(317\) 3.30217 + 3.30217i 0.185468 + 0.185468i 0.793734 0.608265i \(-0.208134\pi\)
−0.608265 + 0.793734i \(0.708134\pi\)
\(318\) 10.4294 8.86797i 0.584849 0.497291i
\(319\) 16.3647 4.38490i 0.916245 0.245507i
\(320\) −1.05727 + 1.05727i −0.0591034 + 0.0591034i
\(321\) 0.100757 1.24526i 0.00562369 0.0695034i
\(322\) −3.28680 + 1.89764i −0.183166 + 0.105751i
\(323\) 39.2828 + 10.5258i 2.18575 + 0.585671i
\(324\) 8.81943 1.79378i 0.489968 0.0996544i
\(325\) −8.67472 + 4.90818i −0.481187 + 0.272257i
\(326\) 4.21846i 0.233639i
\(327\) −0.596022 3.25575i −0.0329601 0.180043i
\(328\) 5.64768 + 9.78207i 0.311841 + 0.540124i
\(329\) −1.14504 + 1.98327i −0.0631283 + 0.109341i
\(330\) 1.90676 5.34716i 0.104963 0.294351i
\(331\) 4.49742 + 16.7846i 0.247200 + 0.922564i 0.972265 + 0.233883i \(0.0751433\pi\)
−0.725064 + 0.688681i \(0.758190\pi\)
\(332\) −0.668536 2.49501i −0.0366907 0.136931i
\(333\) −10.3422 + 1.04109i −0.566748 + 0.0570512i
\(334\) −6.24886 + 10.8233i −0.341922 + 0.592227i
\(335\) −11.9704 20.7334i −0.654014 1.13279i
\(336\) −1.70374 + 0.311899i −0.0929465 + 0.0170155i
\(337\) 10.3172i 0.562015i −0.959706 0.281007i \(-0.909331\pi\)
0.959706 0.281007i \(-0.0906685\pi\)
\(338\) −9.03097 9.35102i −0.491220 0.508628i
\(339\) 3.99778 1.89607i 0.217129 0.102981i
\(340\) −7.56100 2.02596i −0.410053 0.109873i
\(341\) −8.80651 + 5.08444i −0.476899 + 0.275338i
\(342\) −8.25605 21.7934i −0.446436 1.17845i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −9.39397 + 2.51711i −0.506489 + 0.135713i
\(345\) 6.36694 + 7.48797i 0.342784 + 0.403139i
\(346\) 10.7467 + 10.7467i 0.577745 + 0.577745i
\(347\) −8.16834 4.71599i −0.438500 0.253168i 0.264461 0.964396i \(-0.414806\pi\)
−0.702961 + 0.711228i \(0.748139\pi\)
\(348\) −7.60649 + 11.0156i −0.407751 + 0.590498i
\(349\) 1.56809 5.85220i 0.0839381 0.313261i −0.911173 0.412024i \(-0.864822\pi\)
0.995111 + 0.0987631i \(0.0314886\pi\)
\(350\) −2.76435 −0.147761
\(351\) 5.04567 + 18.0428i 0.269318 + 0.963051i
\(352\) −2.19206 −0.116837
\(353\) −7.41629 + 27.6780i −0.394729 + 1.47315i 0.427512 + 0.904010i \(0.359390\pi\)
−0.822241 + 0.569139i \(0.807277\pi\)
\(354\) −11.7084 + 16.9559i −0.622293 + 0.901195i
\(355\) −13.1302 7.58072i −0.696878 0.402343i
\(356\) −1.78985 1.78985i −0.0948621 0.0948621i
\(357\) −5.87380 6.90800i −0.310874 0.365610i
\(358\) −16.8980 + 4.52781i −0.893087 + 0.239302i
\(359\) −19.0129 + 19.0129i −1.00346 + 1.00346i −0.00346917 + 0.999994i \(0.501104\pi\)
−0.999994 + 0.00346917i \(0.998896\pi\)
\(360\) 1.58909 + 4.19472i 0.0837525 + 0.221081i
\(361\) −35.8069 + 20.6731i −1.88458 + 1.08806i
\(362\) −2.59865 0.696306i −0.136582 0.0365970i
\(363\) −9.69471 + 4.59803i −0.508841 + 0.241334i
\(364\) −0.902835 3.49069i −0.0473214 0.182962i
\(365\) 2.47518i 0.129557i
\(366\) 11.2074 2.05171i 0.585819 0.107245i
\(367\) −6.01301 10.4148i −0.313876 0.543650i 0.665322 0.746557i \(-0.268294\pi\)
−0.979198 + 0.202907i \(0.934961\pi\)
\(368\) 1.89764 3.28680i 0.0989211 0.171336i
\(369\) 33.7157 3.39397i 1.75517 0.176683i
\(370\) −1.34084 5.00410i −0.0697072 0.260151i
\(371\) 2.04567 + 7.63453i 0.106206 + 0.396365i
\(372\) 2.69874 7.56813i 0.139923 0.392389i
\(373\) 6.81210 11.7989i 0.352717 0.610924i −0.634007 0.773327i \(-0.718591\pi\)
0.986725 + 0.162403i \(0.0519244\pi\)
\(374\) −5.73794 9.93840i −0.296702 0.513902i
\(375\) 3.62094 + 19.7792i 0.186985 + 1.02140i
\(376\) 2.29009i 0.118102i
\(377\) −24.0109 14.1428i −1.23662 0.728390i
\(378\) −1.24629 + 5.04448i −0.0641022 + 0.259460i
\(379\) 2.25845 + 0.605151i 0.116009 + 0.0310845i 0.316356 0.948640i \(-0.397540\pi\)
−0.200347 + 0.979725i \(0.564207\pi\)
\(380\) 10.0591 5.80761i 0.516020 0.297924i
\(381\) −0.204644 + 2.52920i −0.0104842 + 0.129575i
\(382\) −5.39858 + 5.39858i −0.276216 + 0.276216i
\(383\) −26.5611 + 7.11702i −1.35721 + 0.363663i −0.862790 0.505562i \(-0.831285\pi\)
−0.494417 + 0.869225i \(0.664619\pi\)
\(384\) 1.31953 1.12198i 0.0673370 0.0572559i
\(385\) 2.31761 + 2.31761i 0.118116 + 0.118116i
\(386\) 0.500939 + 0.289217i 0.0254971 + 0.0147208i
\(387\) −4.69070 + 28.7965i −0.238442 + 1.46381i
\(388\) 3.53642 13.1981i 0.179535 0.670033i
\(389\) 9.53986 0.483690 0.241845 0.970315i \(-0.422247\pi\)
0.241845 + 0.970315i \(0.422247\pi\)
\(390\) −8.47129 + 3.92782i −0.428960 + 0.198893i
\(391\) 19.8690 1.00482
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −4.95455 3.42122i −0.249924 0.172578i
\(394\) 8.79234 + 5.07626i 0.442952 + 0.255738i
\(395\) −16.1281 16.1281i −0.811494 0.811494i
\(396\) −2.70114 + 5.99583i −0.135737 + 0.301302i
\(397\) 15.9389 4.27081i 0.799950 0.214346i 0.164388 0.986396i \(-0.447435\pi\)
0.635562 + 0.772050i \(0.280768\pi\)
\(398\) −12.0747 + 12.0747i −0.605252 + 0.605252i
\(399\) 13.4112 + 1.08514i 0.671402 + 0.0543247i
\(400\) 2.39399 1.38217i 0.119700 0.0691087i
\(401\) 0.207374 + 0.0555657i 0.0103558 + 0.00277482i 0.263993 0.964525i \(-0.414960\pi\)
−0.253637 + 0.967299i \(0.581627\pi\)
\(402\) 11.8844 + 25.0576i 0.592739 + 1.24976i
\(403\) 16.1178 + 4.46947i 0.802884 + 0.222640i
\(404\) 8.60340i 0.428035i
\(405\) 13.4317 + 0.822333i 0.667429 + 0.0408620i
\(406\) −3.86439 6.69332i −0.191786 0.332184i
\(407\) 3.79754 6.57753i 0.188237 0.326036i
\(408\) 8.54086 + 3.04561i 0.422835 + 0.150780i
\(409\) −5.26447 19.6473i −0.260311 0.971495i −0.965058 0.262036i \(-0.915606\pi\)
0.704747 0.709459i \(-0.251061\pi\)
\(410\) 4.37118 + 16.3135i 0.215877 + 0.805664i
\(411\) −8.36526 2.98299i −0.412628 0.147140i
\(412\) 3.36578 5.82970i 0.165820 0.287208i
\(413\) −5.94830 10.3028i −0.292697 0.506966i
\(414\) −6.65188 9.24063i −0.326922 0.454152i
\(415\) 3.86216i 0.189586i
\(416\) 2.52722 + 2.57161i 0.123907 + 0.126083i
\(417\) −11.2105 23.6369i −0.548983 1.15750i
\(418\) 16.4483 + 4.40731i 0.804514 + 0.215569i
\(419\) −15.8894 + 9.17374i −0.776248 + 0.448167i −0.835099 0.550100i \(-0.814590\pi\)
0.0588512 + 0.998267i \(0.481256\pi\)
\(420\) −2.58134 0.208863i −0.125957 0.0101915i
\(421\) −11.3194 + 11.3194i −0.551676 + 0.551676i −0.926924 0.375249i \(-0.877557\pi\)
0.375249 + 0.926924i \(0.377557\pi\)
\(422\) −9.47349 + 2.53841i −0.461162 + 0.123568i
\(423\) −6.26396 2.82194i −0.304564 0.137207i
\(424\) −5.58886 5.58886i −0.271419 0.271419i
\(425\) 12.5330 + 7.23596i 0.607942 + 0.350995i
\(426\) 14.4522 + 9.97957i 0.700214 + 0.483512i
\(427\) −1.70254 + 6.35397i −0.0823917 + 0.307490i
\(428\) −0.721298 −0.0348653
\(429\) −12.8536 4.71002i −0.620579 0.227402i
\(430\) −14.5415 −0.701251
\(431\) −1.65888 + 6.19103i −0.0799055 + 0.298211i −0.994301 0.106611i \(-0.966000\pi\)
0.914395 + 0.404822i \(0.132667\pi\)
\(432\) −1.44292 4.99179i −0.0694226 0.240168i
\(433\) 15.7024 + 9.06580i 0.754610 + 0.435675i 0.827357 0.561676i \(-0.189843\pi\)
−0.0727469 + 0.997350i \(0.523177\pi\)
\(434\) 3.28024 + 3.28024i 0.157457 + 0.157457i
\(435\) −15.2487 + 12.9658i −0.731118 + 0.621661i
\(436\) −1.84583 + 0.494589i −0.0883993 + 0.0236865i
\(437\) −20.8475 + 20.8475i −0.997269 + 0.997269i
\(438\) −0.231241 + 2.85791i −0.0110491 + 0.136556i
\(439\) 9.34753 5.39680i 0.446133 0.257575i −0.260063 0.965592i \(-0.583743\pi\)
0.706196 + 0.708017i \(0.250410\pi\)
\(440\) −3.16591 0.848303i −0.150929 0.0404412i
\(441\) −2.32312 1.89819i −0.110625 0.0903898i
\(442\) −5.04393 + 18.1894i −0.239915 + 0.865181i
\(443\) 4.50677i 0.214123i 0.994252 + 0.107061i \(0.0341442\pi\)
−0.994252 + 0.107061i \(0.965856\pi\)
\(444\) 1.08067 + 5.90313i 0.0512865 + 0.280150i
\(445\) −1.89236 3.27767i −0.0897067 0.155377i
\(446\) −1.45204 + 2.51501i −0.0687560 + 0.119089i
\(447\) −8.45019 + 23.6970i −0.399680 + 1.12083i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) 8.97347 + 33.4894i 0.423484 + 1.58046i 0.767211 + 0.641395i \(0.221644\pi\)
−0.343727 + 0.939070i \(0.611689\pi\)
\(450\) −0.830615 8.25134i −0.0391556 0.388972i
\(451\) −12.3801 + 21.4429i −0.582954 + 1.00971i
\(452\) −1.27728 2.21231i −0.0600782 0.104058i
\(453\) −12.7962 + 2.34256i −0.601216 + 0.110063i
\(454\) 2.57948i 0.121061i
\(455\) 0.0469258 5.39085i 0.00219991 0.252727i
\(456\) −12.1570 + 5.76586i −0.569306 + 0.270011i
\(457\) 0.0420261 + 0.0112609i 0.00196590 + 0.000526761i 0.259802 0.965662i \(-0.416343\pi\)
−0.257836 + 0.966189i \(0.583009\pi\)
\(458\) 18.4394 10.6460i 0.861618 0.497455i
\(459\) 18.8549 19.6085i 0.880070 0.915244i
\(460\) 4.01264 4.01264i 0.187090 0.187090i
\(461\) 24.1897 6.48161i 1.12663 0.301879i 0.353065 0.935599i \(-0.385140\pi\)
0.773562 + 0.633720i \(0.218473\pi\)
\(462\) −2.45945 2.89249i −0.114424 0.134571i
\(463\) −2.17087 2.17087i −0.100889 0.100889i 0.654861 0.755750i \(-0.272727\pi\)
−0.755750 + 0.654861i \(0.772727\pi\)
\(464\) 6.69332 + 3.86439i 0.310729 + 0.179400i
\(465\) 6.82647 9.88598i 0.316570 0.458452i
\(466\) 6.85105 25.5685i 0.317369 1.18444i
\(467\) −13.9572 −0.645863 −0.322932 0.946422i \(-0.604668\pi\)
−0.322932 + 0.946422i \(0.604668\pi\)
\(468\) 10.1481 3.74375i 0.469097 0.173055i
\(469\) −16.0117 −0.739352
\(470\) 0.886239 3.30749i 0.0408791 0.152563i
\(471\) −21.0797 + 30.5273i −0.971301 + 1.40662i
\(472\) 10.3028 + 5.94830i 0.474223 + 0.273793i
\(473\) −15.0745 15.0745i −0.693126 0.693126i
\(474\) 17.1152 + 20.1287i 0.786127 + 0.924542i
\(475\) −20.7425 + 5.55794i −0.951732 + 0.255016i
\(476\) −3.70185 + 3.70185i −0.169674 + 0.169674i
\(477\) −22.1737 + 8.40012i −1.01527 + 0.384615i
\(478\) 16.5619 9.56202i 0.757524 0.437356i
\(479\) −7.42991 1.99084i −0.339481 0.0909637i 0.0850508 0.996377i \(-0.472895\pi\)
−0.424532 + 0.905413i \(0.639561\pi\)
\(480\) 2.33994 1.10979i 0.106803 0.0506548i
\(481\) −12.0946 + 3.12816i −0.551465 + 0.142632i
\(482\) 16.8525i 0.767610i
\(483\) 6.46614 1.18374i 0.294220 0.0538622i
\(484\) 3.09744 + 5.36492i 0.140793 + 0.243860i
\(485\) 10.2150 17.6930i 0.463841 0.803397i
\(486\) −15.4318 2.20433i −0.700001 0.0999904i
\(487\) −3.78272 14.1173i −0.171411 0.639716i −0.997135 0.0756411i \(-0.975900\pi\)
0.825724 0.564075i \(-0.190767\pi\)
\(488\) −1.70254 6.35397i −0.0770704 0.287631i
\(489\) 2.45411 6.88212i 0.110979 0.311220i
\(490\) 0.747605 1.29489i 0.0337733 0.0584972i
\(491\) 12.3616 + 21.4109i 0.557871 + 0.966261i 0.997674 + 0.0681669i \(0.0217150\pi\)
−0.439803 + 0.898094i \(0.644952\pi\)
\(492\) −3.52302 19.2443i −0.158830 0.867601i
\(493\) 40.4617i 1.82230i
\(494\) −13.7928 24.3775i −0.620568 1.09679i
\(495\) −6.22148 + 7.61424i −0.279635 + 0.342235i
\(496\) −4.48089 1.20065i −0.201198 0.0539108i
\(497\) −8.78150 + 5.07000i −0.393904 + 0.227421i
\(498\) −0.360817 + 4.45936i −0.0161686 + 0.199829i
\(499\) 27.5916 27.5916i 1.23517 1.23517i 0.273218 0.961952i \(-0.411912\pi\)
0.961952 0.273218i \(-0.0880879\pi\)
\(500\) 11.2138 3.00472i 0.501494 0.134375i
\(501\) 16.4911 14.0222i 0.736769 0.626466i
\(502\) 9.19745 + 9.19745i 0.410502 + 0.410502i
\(503\) −18.9750 10.9552i −0.846053 0.488469i 0.0132638 0.999912i \(-0.495778\pi\)
−0.859317 + 0.511443i \(0.829111\pi\)
\(504\) 2.96097 + 0.482317i 0.131892 + 0.0214841i
\(505\) −3.32942 + 12.4256i −0.148157 + 0.552931i
\(506\) 8.31946 0.369845
\(507\) 9.29338 + 20.5093i 0.412734 + 0.910852i
\(508\) 1.46501 0.0649992
\(509\) −2.86121 + 10.6782i −0.126821 + 0.473303i −0.999898 0.0142796i \(-0.995454\pi\)
0.873077 + 0.487582i \(0.162121\pi\)
\(510\) 11.1566 + 7.70387i 0.494023 + 0.341133i
\(511\) −1.43363 0.827705i −0.0634199 0.0366155i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 0.790694 + 40.3575i 0.0349100 + 1.78183i
\(514\) 28.3936 7.60805i 1.25239 0.335577i
\(515\) 7.11709 7.11709i 0.313616 0.313616i
\(516\) 16.7899 + 1.35851i 0.739136 + 0.0598053i
\(517\) 4.34746 2.51001i 0.191201 0.110390i
\(518\) −3.34675 0.896760i −0.147048 0.0394014i
\(519\) −11.2805 23.7844i −0.495159 1.04402i
\(520\) 2.65479 + 4.69208i 0.116420 + 0.205761i
\(521\) 14.8404i 0.650169i −0.945685 0.325084i \(-0.894607\pi\)
0.945685 0.325084i \(-0.105393\pi\)
\(522\) 18.8178 13.5460i 0.823634 0.592894i
\(523\) 11.7259 + 20.3098i 0.512736 + 0.888085i 0.999891 + 0.0147693i \(0.00470140\pi\)
−0.487155 + 0.873316i \(0.661965\pi\)
\(524\) −1.73811 + 3.01050i −0.0759297 + 0.131514i
\(525\) 4.50984 + 1.60817i 0.196825 + 0.0701865i
\(526\) 4.21948 + 15.7473i 0.183978 + 0.686616i
\(527\) −6.28565 23.4584i −0.273807 1.02186i
\(528\) 3.57619 + 1.27524i 0.155634 + 0.0554978i
\(529\) 4.29796 7.44428i 0.186868 0.323664i
\(530\) −5.90896 10.2346i −0.256669 0.444563i
\(531\) 28.9656 20.8509i 1.25700 0.904852i
\(532\) 7.76829i 0.336798i
\(533\) 39.4286 10.1979i 1.70784 0.441718i
\(534\) 1.87876 + 3.96128i 0.0813020 + 0.171421i
\(535\) −1.04174 0.279134i −0.0450385 0.0120680i
\(536\) 13.8665 8.00585i 0.598943 0.345800i
\(537\) 30.2020 + 2.44371i 1.30331 + 0.105454i
\(538\) −10.1687 + 10.1687i −0.438405 + 0.438405i
\(539\) 2.11737 0.567347i 0.0912015 0.0244374i
\(540\) −0.152190 7.76785i −0.00654920 0.334275i
\(541\) −19.4313 19.4313i −0.835415 0.835415i 0.152836 0.988252i \(-0.451159\pi\)
−0.988252 + 0.152836i \(0.951159\pi\)
\(542\) 20.4846 + 11.8268i 0.879887 + 0.508003i
\(543\) 3.83443 + 2.64775i 0.164551 + 0.113626i
\(544\) 1.35497 5.05682i 0.0580938 0.216809i
\(545\) −2.85726 −0.122392
\(546\) −0.557815 + 6.22004i −0.0238723 + 0.266193i
\(547\) −14.9433 −0.638931 −0.319466 0.947598i \(-0.603503\pi\)
−0.319466 + 0.947598i \(0.603503\pi\)
\(548\) −1.32711 + 4.95285i −0.0566914 + 0.211575i
\(549\) −19.4776 3.17273i −0.831284 0.135409i
\(550\) 5.24778 + 3.02981i 0.223766 + 0.129191i
\(551\) −42.4542 42.4542i −1.80861 1.80861i
\(552\) −5.00797 + 4.25822i −0.213154 + 0.181242i
\(553\) −14.7347 + 3.94814i −0.626582 + 0.167892i
\(554\) −5.10229 + 5.10229i −0.216775 + 0.216775i
\(555\) −0.723671 + 8.94387i −0.0307181 + 0.379646i
\(556\) −13.0803 + 7.55192i −0.554729 + 0.320273i
\(557\) 8.34550 + 2.23617i 0.353610 + 0.0947496i 0.431251 0.902232i \(-0.358072\pi\)
−0.0776412 + 0.996981i \(0.524739\pi\)
\(558\) −8.80561 + 10.7769i −0.372771 + 0.456221i
\(559\) −0.305221 + 35.0639i −0.0129095 + 1.48305i
\(560\) 1.49521i 0.0631842i
\(561\) 3.57932 + 19.5519i 0.151119 + 0.825480i
\(562\) 5.05876 + 8.76203i 0.213391 + 0.369604i
\(563\) 3.12728 5.41660i 0.131799 0.228283i −0.792571 0.609779i \(-0.791258\pi\)
0.924370 + 0.381497i \(0.124591\pi\)
\(564\) −1.33227 + 3.73612i −0.0560988 + 0.157319i
\(565\) −0.988586 3.68945i −0.0415901 0.155216i
\(566\) 4.79082 + 17.8796i 0.201373 + 0.751535i
\(567\) 4.96789 7.50467i 0.208632 0.315167i
\(568\) 5.07000 8.78150i 0.212733 0.368464i
\(569\) −8.52745 14.7700i −0.357489 0.619189i 0.630052 0.776553i \(-0.283034\pi\)
−0.987541 + 0.157364i \(0.949700\pi\)
\(570\) −19.7893 + 3.62278i −0.828882 + 0.151742i
\(571\) 30.4744i 1.27531i 0.770320 + 0.637657i \(0.220096\pi\)
−0.770320 + 0.637657i \(0.779904\pi\)
\(572\) −2.11197 + 7.61618i −0.0883060 + 0.318449i
\(573\) 11.9481 5.66675i 0.499138 0.236732i
\(574\) 10.9105 + 2.92345i 0.455395 + 0.122023i
\(575\) −9.08586 + 5.24572i −0.378907 + 0.218762i
\(576\) −2.80544 + 1.06279i −0.116893 + 0.0442829i
\(577\) 17.6984 17.6984i 0.736796 0.736796i −0.235161 0.971957i \(-0.575562\pi\)
0.971957 + 0.235161i \(0.0755616\pi\)
\(578\) 10.0527 2.69361i 0.418137 0.112040i
\(579\) −0.648993 0.763262i −0.0269712 0.0317201i
\(580\) 8.17143 + 8.17143i 0.339300 + 0.339300i
\(581\) −2.23696 1.29151i −0.0928049 0.0535810i
\(582\) −13.4475 + 19.4745i −0.557417 + 0.807242i
\(583\) 4.48422 16.7353i 0.185718 0.693107i
\(584\) 1.65541 0.0685013
\(585\) 16.1053 1.47974i 0.665874 0.0611798i
\(586\) −0.494103 −0.0204112
\(587\) 0.843372 3.14751i 0.0348097 0.129912i −0.946334 0.323189i \(-0.895245\pi\)
0.981144 + 0.193277i \(0.0619117\pi\)
\(588\) −0.984178 + 1.42527i −0.0405868 + 0.0587771i
\(589\) 31.2088 + 18.0184i 1.28593 + 0.742435i
\(590\) 12.5780 + 12.5780i 0.517827 + 0.517827i
\(591\) −11.3909 13.3966i −0.468561 0.551061i
\(592\) 3.34675 0.896760i 0.137551 0.0368566i
\(593\) −5.03998 + 5.03998i −0.206967 + 0.206967i −0.802977 0.596010i \(-0.796752\pi\)
0.596010 + 0.802977i \(0.296752\pi\)
\(594\) 7.89483 8.21037i 0.323929 0.336875i
\(595\) −6.77901 + 3.91386i −0.277912 + 0.160453i
\(596\) 14.0304 + 3.75943i 0.574707 + 0.153992i
\(597\) 26.7236 12.6745i 1.09373 0.518734i
\(598\) −9.59149 9.75994i −0.392225 0.399114i
\(599\) 26.5579i 1.08513i 0.840015 + 0.542564i \(0.182546\pi\)
−0.840015 + 0.542564i \(0.817454\pi\)
\(600\) −4.70972 + 0.862198i −0.192274 + 0.0351991i
\(601\) 2.35032 + 4.07088i 0.0958716 + 0.166055i 0.909972 0.414670i \(-0.136103\pi\)
−0.814100 + 0.580724i \(0.802770\pi\)
\(602\) −4.86268 + 8.42241i −0.198188 + 0.343272i
\(603\) −4.81110 47.7936i −0.195923 1.94630i
\(604\) 1.94390 + 7.25472i 0.0790961 + 0.295191i
\(605\) 2.39735 + 8.94702i 0.0974660 + 0.363748i
\(606\) 5.00508 14.0358i 0.203317 0.570167i
\(607\) −7.50564 + 13.0002i −0.304645 + 0.527660i −0.977182 0.212403i \(-0.931871\pi\)
0.672537 + 0.740063i \(0.265204\pi\)
\(608\) 3.88414 + 6.72753i 0.157523 + 0.272838i
\(609\) 2.41060 + 13.1678i 0.0976824 + 0.533586i
\(610\) 9.83566i 0.398234i
\(611\) −7.95678 2.20642i −0.321897 0.0892622i
\(612\) −12.1620 9.93738i −0.491620 0.401695i
\(613\) 10.7055 + 2.86853i 0.432391 + 0.115859i 0.468448 0.883491i \(-0.344813\pi\)
−0.0360574 + 0.999350i \(0.511480\pi\)
\(614\) 10.7609 6.21280i 0.434274 0.250728i
\(615\) 2.35918 29.1572i 0.0951313 1.17573i
\(616\) −1.55002 + 1.55002i −0.0624521 + 0.0624521i
\(617\) −17.9156 + 4.80046i −0.721253 + 0.193259i −0.600731 0.799451i \(-0.705124\pi\)
−0.120522 + 0.992711i \(0.538457\pi\)
\(618\) −8.88248 + 7.55267i −0.357306 + 0.303813i
\(619\) 3.05190 + 3.05190i 0.122666 + 0.122666i 0.765775 0.643109i \(-0.222356\pi\)
−0.643109 + 0.765775i \(0.722356\pi\)
\(620\) −6.00694 3.46811i −0.241245 0.139283i
\(621\) 5.47628 + 18.9452i 0.219756 + 0.760245i
\(622\) −5.33115 + 19.8961i −0.213760 + 0.797761i
\(623\) −2.53124 −0.101412
\(624\) −2.62694 5.66562i −0.105162 0.226806i
\(625\) 3.53665 0.141466
\(626\) 2.20463 8.22777i 0.0881145 0.328848i
\(627\) −24.2703 16.7591i −0.969262 0.669295i
\(628\) 18.5490 + 10.7093i 0.740188 + 0.427347i
\(629\) 12.8262 + 12.8262i 0.511414 + 0.511414i
\(630\) 4.08977 + 1.84246i 0.162940 + 0.0734052i
\(631\) 31.3247 8.39342i 1.24702 0.334137i 0.425833 0.904802i \(-0.359981\pi\)
0.821183 + 0.570665i \(0.193314\pi\)
\(632\) 10.7865 10.7865i 0.429065 0.429065i
\(633\) 16.9321 + 1.37001i 0.672989 + 0.0544531i
\(634\) −4.04431 + 2.33499i −0.160620 + 0.0927341i
\(635\) 2.11585 + 0.566941i 0.0839651 + 0.0224984i
\(636\) 5.86648 + 12.3692i 0.232621 + 0.490470i
\(637\) −3.10669 1.82989i −0.123091 0.0725028i
\(638\) 16.9419i 0.670738i
\(639\) −17.7721 24.6886i −0.703055 0.976667i
\(640\) −0.747605 1.29489i −0.0295517 0.0511850i
\(641\) 2.85713 4.94869i 0.112850 0.195462i −0.804068 0.594537i \(-0.797335\pi\)
0.916918 + 0.399075i \(0.130669\pi\)
\(642\) 1.17675 + 0.419619i 0.0464425 + 0.0165611i
\(643\) −5.82709 21.7470i −0.229798 0.857618i −0.980425 0.196892i \(-0.936915\pi\)
0.750627 0.660726i \(-0.229752\pi\)
\(644\) −0.982289 3.66595i −0.0387076 0.144459i
\(645\) 23.7233 + 8.45957i 0.934106 + 0.333095i
\(646\) −20.3343 + 35.2200i −0.800041 + 1.38571i
\(647\) 9.23303 + 15.9921i 0.362988 + 0.628713i 0.988451 0.151540i \(-0.0484234\pi\)
−0.625463 + 0.780254i \(0.715090\pi\)
\(648\) −0.549978 + 8.98318i −0.0216052 + 0.352893i
\(649\) 26.0781i 1.02365i
\(650\) −2.49575 9.64947i −0.0978914 0.378483i
\(651\) −3.44318 7.25978i −0.134949 0.284533i
\(652\) −4.07472 1.09182i −0.159578 0.0427589i
\(653\) −33.4295 + 19.3005i −1.30820 + 0.755288i −0.981795 0.189943i \(-0.939170\pi\)
−0.326402 + 0.945231i \(0.605836\pi\)
\(654\) 3.29907 + 0.266936i 0.129004 + 0.0104380i
\(655\) −3.67532 + 3.67532i −0.143606 + 0.143606i
\(656\) −10.9105 + 2.92345i −0.425983 + 0.114142i
\(657\) 2.03986 4.52796i 0.0795825 0.176652i
\(658\) −1.61934 1.61934i −0.0631283 0.0631283i
\(659\) 17.6399 + 10.1844i 0.687152 + 0.396727i 0.802544 0.596593i \(-0.203479\pi\)
−0.115393 + 0.993320i \(0.536813\pi\)
\(660\) 4.67145 + 3.22573i 0.181836 + 0.125561i
\(661\) 6.08781 22.7200i 0.236788 0.883706i −0.740546 0.672005i \(-0.765433\pi\)
0.977335 0.211701i \(-0.0679002\pi\)
\(662\) −17.3767 −0.675364
\(663\) 18.8106 26.7404i 0.730543 1.03851i
\(664\) 2.58302 0.100241
\(665\) 3.00624 11.2194i 0.116577 0.435071i
\(666\) 1.67114 10.2592i 0.0647553 0.397537i
\(667\) −25.4030 14.6664i −0.983606 0.567885i
\(668\) −8.83722 8.83722i −0.341922 0.341922i
\(669\) 3.83202 3.25832i 0.148154 0.125974i
\(670\) 23.1251 6.19635i 0.893400 0.239386i
\(671\) 10.1962 10.1962i 0.393620 0.393620i
\(672\) 0.139688 1.72641i 0.00538858 0.0665977i
\(673\) −21.4656 + 12.3932i −0.827437 + 0.477721i −0.852974 0.521953i \(-0.825204\pi\)
0.0255373 + 0.999674i \(0.491870\pi\)
\(674\) 9.96567 + 2.67029i 0.383863 + 0.102856i
\(675\) −3.44517 + 13.9447i −0.132605 + 0.536731i
\(676\) 11.3698 6.30303i 0.437299 0.242424i
\(677\) 2.09995i 0.0807078i 0.999185 + 0.0403539i \(0.0128485\pi\)
−0.999185 + 0.0403539i \(0.987151\pi\)
\(678\) 0.796765 + 4.35230i 0.0305996 + 0.167149i
\(679\) −6.83185 11.8331i −0.262182 0.454113i
\(680\) 3.91386 6.77901i 0.150090 0.259963i
\(681\) −1.50063 + 4.20824i −0.0575042 + 0.161260i
\(682\) −2.63190 9.82238i −0.100781 0.376118i
\(683\) 0.477606 + 1.78245i 0.0182751 + 0.0682036i 0.974461 0.224556i \(-0.0720931\pi\)
−0.956186 + 0.292759i \(0.905426\pi\)
\(684\) 23.1877 2.33417i 0.886603 0.0892492i
\(685\) −3.83340 + 6.63964i −0.146467 + 0.253687i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) −36.2760 + 6.64096i −1.38402 + 0.253369i
\(688\) 9.72536i 0.370776i
\(689\) −24.8028 + 14.0335i −0.944913 + 0.534634i
\(690\) −8.88071 + 4.21196i −0.338083 + 0.160347i
\(691\) 32.5237 + 8.71469i 1.23726 + 0.331523i 0.817402 0.576068i \(-0.195414\pi\)
0.419857 + 0.907590i \(0.362080\pi\)
\(692\) −13.1619 + 7.59905i −0.500342 + 0.288872i
\(693\) 2.32970 + 6.14969i 0.0884978 + 0.233607i
\(694\) 6.66942 6.66942i 0.253168 0.253168i
\(695\) −21.8139 + 5.84502i −0.827449 + 0.221714i
\(696\) −8.67154 10.1983i −0.328694 0.386567i
\(697\) −41.8137 41.8137i −1.58381 1.58381i
\(698\) 5.24694 + 3.02932i 0.198600 + 0.114662i
\(699\) −26.0516 + 37.7275i −0.985362 + 1.42698i
\(700\) 0.715466 2.67015i 0.0270421 0.100922i
\(701\) −27.4857 −1.03812 −0.519060 0.854738i \(-0.673718\pi\)
−0.519060 + 0.854738i \(0.673718\pi\)
\(702\) −18.7339 + 0.203932i −0.707065 + 0.00769690i
\(703\) −26.9157 −1.01514
\(704\) 0.567347 2.11737i 0.0213827 0.0798013i
\(705\) −3.36999 + 4.88036i −0.126921 + 0.183805i
\(706\) −24.8154 14.3272i −0.933939 0.539210i
\(707\) 6.08353 + 6.08353i 0.228795 + 0.228795i
\(708\) −13.3478 15.6979i −0.501640 0.589964i
\(709\) −21.1952 + 5.67924i −0.796003 + 0.213288i −0.633828 0.773474i \(-0.718517\pi\)
−0.162175 + 0.986762i \(0.551851\pi\)
\(710\) 10.7208 10.7208i 0.402343 0.402343i
\(711\) −16.2123 42.7954i −0.608007 1.60495i
\(712\) 2.19211 1.26562i 0.0821530 0.0474310i
\(713\) 17.0062 + 4.55680i 0.636887 + 0.170653i
\(714\) 8.19287 3.88573i 0.306610 0.145420i
\(715\) −5.99762 + 10.1825i −0.224298 + 0.380802i
\(716\) 17.4941i 0.653785i
\(717\) −32.5823 + 5.96477i −1.21681 + 0.222759i
\(718\) −13.4442 23.2860i −0.501732 0.869025i
\(719\) −4.65122 + 8.05614i −0.173461 + 0.300443i −0.939628 0.342199i \(-0.888828\pi\)
0.766167 + 0.642642i \(0.222162\pi\)
\(720\) −4.46307 + 0.449272i −0.166329 + 0.0167434i
\(721\) −1.74225 6.50218i −0.0648849 0.242154i
\(722\) −10.7012 39.9375i −0.398258 1.48632i
\(723\) 9.80403 27.4936i 0.364616 1.02250i
\(724\) 1.34516 2.32988i 0.0499925 0.0865895i
\(725\) −10.6825 18.5027i −0.396738 0.687171i
\(726\) −1.93218 10.5544i −0.0717098 0.391712i
\(727\) 13.3586i 0.495442i −0.968831 0.247721i \(-0.920318\pi\)
0.968831 0.247721i \(-0.0796817\pi\)
\(728\) 3.60541 + 0.0313841i 0.133626 + 0.00116317i
\(729\) 23.8935 + 12.5738i 0.884946 + 0.465695i
\(730\) 2.39084 + 0.640625i 0.0884891 + 0.0237106i
\(731\) 44.0930 25.4571i 1.63084 0.941565i
\(732\) −0.918883 + 11.3565i −0.0339629 + 0.419749i
\(733\) −29.4010 + 29.4010i −1.08595 + 1.08595i −0.0900086 + 0.995941i \(0.528689\pi\)
−0.995941 + 0.0900086i \(0.971311\pi\)
\(734\) 11.6162 3.11256i 0.428763 0.114887i
\(735\) −1.97297 + 1.67760i −0.0727742 + 0.0618791i
\(736\) 2.68366 + 2.68366i 0.0989211 + 0.0989211i
\(737\) 30.3963 + 17.5493i 1.11966 + 0.646437i
\(738\) −5.44794 + 33.4453i −0.200542 + 1.23114i
\(739\) 0.0453794 0.169358i 0.00166931 0.00622994i −0.965086 0.261933i \(-0.915640\pi\)
0.966755 + 0.255703i \(0.0823068\pi\)
\(740\) 5.18062 0.190444
\(741\) 8.32027 + 47.7941i 0.305653 + 1.75576i
\(742\) −7.90385 −0.290159
\(743\) −4.57687 + 17.0811i −0.167909 + 0.626645i 0.829742 + 0.558147i \(0.188487\pi\)
−0.997651 + 0.0684983i \(0.978179\pi\)
\(744\) 6.61177 + 4.56556i 0.242399 + 0.167382i
\(745\) 18.8087 + 10.8592i 0.689097 + 0.397850i
\(746\) 9.63377 + 9.63377i 0.352717 + 0.352717i
\(747\) 3.18290 7.06521i 0.116456 0.258503i
\(748\) 11.0848 2.97017i 0.405302 0.108600i
\(749\) −0.510035 + 0.510035i −0.0186363 + 0.0186363i
\(750\) −20.0424 1.62168i −0.731847 0.0592155i
\(751\) 43.7692 25.2702i 1.59716 0.922121i 0.605130 0.796126i \(-0.293121\pi\)
0.992031 0.125995i \(-0.0402124\pi\)
\(752\) 2.21206 + 0.592719i 0.0806654 + 0.0216142i
\(753\) −9.65431 20.3556i −0.351823 0.741801i
\(754\) 19.8754 19.5323i 0.723818 0.711325i
\(755\) 11.2300i 0.408701i
\(756\) −4.55003 2.50943i −0.165483 0.0912671i
\(757\) 4.39379 + 7.61027i 0.159695 + 0.276600i 0.934759 0.355283i \(-0.115616\pi\)
−0.775064 + 0.631883i \(0.782282\pi\)
\(758\) −1.16906 + 2.02487i −0.0424622 + 0.0735467i
\(759\) −13.5726 4.83989i −0.492655 0.175677i
\(760\) 3.00624 + 11.2194i 0.109048 + 0.406972i
\(761\) 6.04253 + 22.5510i 0.219041 + 0.817474i 0.984705 + 0.174232i \(0.0557443\pi\)
−0.765663 + 0.643242i \(0.777589\pi\)
\(762\) −2.39005 0.852276i −0.0865825 0.0308747i
\(763\) −0.955472 + 1.65493i −0.0345904 + 0.0599124i
\(764\) −3.81738 6.61189i −0.138108 0.239210i
\(765\) −13.7195 19.0587i −0.496028 0.689070i
\(766\) 27.4981i 0.993545i
\(767\) 30.5934 30.0654i 1.10466 1.08560i
\(768\) 0.742231 + 1.56496i 0.0267830 + 0.0564706i
\(769\) −4.62655 1.23968i −0.166838 0.0447040i 0.174433 0.984669i \(-0.444191\pi\)
−0.341271 + 0.939965i \(0.610857\pi\)
\(770\) −2.83848 + 1.63879i −0.102292 + 0.0590581i
\(771\) −50.7482 4.10616i −1.82765 0.147880i
\(772\) −0.409015 + 0.409015i −0.0147208 + 0.0147208i
\(773\) −0.359233 + 0.0962561i −0.0129207 + 0.00346209i −0.265274 0.964173i \(-0.585462\pi\)
0.252353 + 0.967635i \(0.418796\pi\)