Properties

Label 576.2.bm.a.205.50
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.50
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.50

$q$-expansion

\(f(q)\) \(=\) \(q+(0.109418 + 1.40997i) q^{2} +(-0.0225197 + 1.73190i) q^{3} +(-1.97606 + 0.308553i) q^{4} +(-2.28142 - 2.60146i) q^{5} +(-2.44440 + 0.157749i) q^{6} +(4.18621 + 0.551125i) q^{7} +(-0.651268 - 2.75243i) q^{8} +(-2.99899 - 0.0780039i) q^{9} +O(q^{10})\) \(q+(0.109418 + 1.40997i) q^{2} +(-0.0225197 + 1.73190i) q^{3} +(-1.97606 + 0.308553i) q^{4} +(-2.28142 - 2.60146i) q^{5} +(-2.44440 + 0.157749i) q^{6} +(4.18621 + 0.551125i) q^{7} +(-0.651268 - 2.75243i) q^{8} +(-2.99899 - 0.0780039i) q^{9} +(3.41836 - 3.50138i) q^{10} +(-1.27415 - 2.58372i) q^{11} +(-0.489884 - 3.42929i) q^{12} +(-2.06007 - 6.06878i) q^{13} +(-0.319025 + 5.96275i) q^{14} +(4.55685 - 3.89261i) q^{15} +(3.80959 - 1.21944i) q^{16} +(-3.99244 - 3.99244i) q^{17} +(-0.218160 - 4.23703i) q^{18} +(0.252318 - 1.26849i) q^{19} +(5.31089 + 4.43668i) q^{20} +(-1.04877 + 7.23770i) q^{21} +(3.50356 - 2.07922i) q^{22} +(0.851387 + 6.46692i) q^{23} +(4.78161 - 1.06595i) q^{24} +(-0.910084 + 6.91278i) q^{25} +(8.33142 - 3.56869i) q^{26} +(0.202631 - 5.19220i) q^{27} +(-8.44223 + 0.202615i) q^{28} +(1.06532 - 0.0698247i) q^{29} +(5.98708 + 5.99912i) q^{30} +(-1.47312 + 0.850507i) q^{31} +(2.13621 + 5.23800i) q^{32} +(4.50345 - 2.14852i) q^{33} +(5.19240 - 6.06609i) q^{34} +(-8.11676 - 12.1476i) q^{35} +(5.95023 - 0.771206i) q^{36} +(0.401559 + 2.01877i) q^{37} +(1.81614 + 0.216966i) q^{38} +(10.5569 - 3.43118i) q^{39} +(-5.67450 + 7.97367i) q^{40} +(-0.989500 - 7.51600i) q^{41} +(-10.3197 - 0.686801i) q^{42} +(0.927365 - 0.457326i) q^{43} +(3.31500 + 4.71243i) q^{44} +(6.63901 + 7.97969i) q^{45} +(-9.02504 + 1.90803i) q^{46} +(-3.04900 + 0.816978i) q^{47} +(2.02616 + 6.62531i) q^{48} +(10.4591 + 2.80252i) q^{49} +(-9.84642 - 0.526814i) q^{50} +(7.00444 - 6.82462i) q^{51} +(5.94336 + 11.3566i) q^{52} +(-1.80298 + 2.69835i) q^{53} +(7.34304 - 0.282415i) q^{54} +(-3.81457 + 9.20918i) q^{55} +(-1.20941 - 11.8812i) q^{56} +(2.19122 + 0.465556i) q^{57} +(0.215016 + 1.49443i) q^{58} +(-1.47197 - 1.67846i) q^{59} +(-7.80351 + 9.09804i) q^{60} +(-0.524600 - 8.00385i) q^{61} +(-1.36038 - 1.98400i) q^{62} +(-12.5114 - 1.97936i) q^{63} +(-7.15170 + 3.58513i) q^{64} +(-11.0878 + 19.2046i) q^{65} +(3.52212 + 6.11466i) q^{66} +(0.462419 + 0.228040i) q^{67} +(9.12117 + 6.65741i) q^{68} +(-11.2193 + 1.32889i) q^{69} +(16.2397 - 12.7736i) q^{70} +(-6.15008 - 14.8476i) q^{71} +(1.73844 + 8.30529i) q^{72} +(-0.653950 + 1.57878i) q^{73} +(-2.80248 + 0.787078i) q^{74} +(-11.9518 - 1.73185i) q^{75} +(-0.107198 + 2.58445i) q^{76} +(-3.90990 - 11.5182i) q^{77} +(5.99300 + 14.5096i) q^{78} +(3.20599 + 11.9649i) q^{79} +(-11.8636 - 7.12844i) q^{80} +(8.98783 + 0.467865i) q^{81} +(10.4891 - 2.21755i) q^{82} +(0.225652 + 0.197892i) q^{83} +(-0.160793 - 14.6257i) q^{84} +(-1.27774 + 19.4946i) q^{85} +(0.746288 + 1.25752i) q^{86} +(0.0969390 + 1.84660i) q^{87} +(-6.28168 + 5.18969i) q^{88} +(10.0904 - 4.17957i) q^{89} +(-10.5247 + 10.2340i) q^{90} +(-5.27925 - 26.5406i) q^{91} +(-3.67778 - 12.5163i) q^{92} +(-1.43982 - 2.57046i) q^{93} +(-1.48553 - 4.20963i) q^{94} +(-3.87555 + 2.23755i) q^{95} +(-9.11981 + 3.58176i) q^{96} +(-13.1981 - 7.61991i) q^{97} +(-2.80706 + 15.0538i) q^{98} +(3.61961 + 7.84792i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.109418 + 1.40997i 0.0773702 + 0.997002i
\(3\) −0.0225197 + 1.73190i −0.0130017 + 0.999915i
\(4\) −1.97606 + 0.308553i −0.988028 + 0.154277i
\(5\) −2.28142 2.60146i −1.02028 1.16341i −0.986464 0.163978i \(-0.947567\pi\)
−0.0338160 0.999428i \(-0.510766\pi\)
\(6\) −2.44440 + 0.157749i −0.997924 + 0.0644009i
\(7\) 4.18621 + 0.551125i 1.58224 + 0.208306i 0.869791 0.493420i \(-0.164253\pi\)
0.712447 + 0.701725i \(0.247587\pi\)
\(8\) −0.651268 2.75243i −0.230258 0.973130i
\(9\) −2.99899 0.0780039i −0.999662 0.0260013i
\(10\) 3.41836 3.50138i 1.08098 1.10723i
\(11\) −1.27415 2.58372i −0.384170 0.779020i 0.615790 0.787910i \(-0.288837\pi\)
−0.999960 + 0.00888988i \(0.997170\pi\)
\(12\) −0.489884 3.42929i −0.141417 0.989950i
\(13\) −2.06007 6.06878i −0.571362 1.68318i −0.719737 0.694247i \(-0.755738\pi\)
0.148375 0.988931i \(-0.452596\pi\)
\(14\) −0.319025 + 5.96275i −0.0852631 + 1.59361i
\(15\) 4.55685 3.89261i 1.17657 1.00507i
\(16\) 3.80959 1.21944i 0.952397 0.304859i
\(17\) −3.99244 3.99244i −0.968310 0.968310i 0.0312035 0.999513i \(-0.490066\pi\)
−0.999513 + 0.0312035i \(0.990066\pi\)
\(18\) −0.218160 4.23703i −0.0514207 0.998677i
\(19\) 0.252318 1.26849i 0.0578856 0.291011i −0.940989 0.338437i \(-0.890102\pi\)
0.998875 + 0.0474261i \(0.0151019\pi\)
\(20\) 5.31089 + 4.43668i 1.18755 + 0.992072i
\(21\) −1.04877 + 7.23770i −0.228860 + 1.57940i
\(22\) 3.50356 2.07922i 0.746962 0.443292i
\(23\) 0.851387 + 6.46692i 0.177526 + 1.34845i 0.815665 + 0.578525i \(0.196372\pi\)
−0.638138 + 0.769922i \(0.720295\pi\)
\(24\) 4.78161 1.06595i 0.976041 0.217586i
\(25\) −0.910084 + 6.91278i −0.182017 + 1.38256i
\(26\) 8.33142 3.56869i 1.63393 0.699877i
\(27\) 0.202631 5.19220i 0.0389964 0.999239i
\(28\) −8.44223 + 0.202615i −1.59543 + 0.0382906i
\(29\) 1.06532 0.0698247i 0.197825 0.0129661i 0.0338314 0.999428i \(-0.489229\pi\)
0.163993 + 0.986461i \(0.447562\pi\)
\(30\) 5.98708 + 5.99912i 1.09309 + 1.09528i
\(31\) −1.47312 + 0.850507i −0.264580 + 0.152756i −0.626422 0.779484i \(-0.715481\pi\)
0.361842 + 0.932240i \(0.382148\pi\)
\(32\) 2.13621 + 5.23800i 0.377632 + 0.925956i
\(33\) 4.50345 2.14852i 0.783949 0.374009i
\(34\) 5.19240 6.06609i 0.890489 1.04033i
\(35\) −8.11676 12.1476i −1.37198 2.05332i
\(36\) 5.95023 0.771206i 0.991705 0.128534i
\(37\) 0.401559 + 2.01877i 0.0660159 + 0.331884i 0.999653 0.0263355i \(-0.00838382\pi\)
−0.933637 + 0.358220i \(0.883384\pi\)
\(38\) 1.81614 + 0.216966i 0.294617 + 0.0351966i
\(39\) 10.5569 3.43118i 1.69046 0.549429i
\(40\) −5.67450 + 7.97367i −0.897218 + 1.26075i
\(41\) −0.989500 7.51600i −0.154534 1.17380i −0.876335 0.481701i \(-0.840019\pi\)
0.721801 0.692100i \(-0.243314\pi\)
\(42\) −10.3197 0.686801i −1.59237 0.105976i
\(43\) 0.927365 0.457326i 0.141422 0.0697415i −0.370201 0.928952i \(-0.620711\pi\)
0.511623 + 0.859210i \(0.329045\pi\)
\(44\) 3.31500 + 4.71243i 0.499755 + 0.710425i
\(45\) 6.63901 + 7.97969i 0.989685 + 1.18954i
\(46\) −9.02504 + 1.90803i −1.33067 + 0.281324i
\(47\) −3.04900 + 0.816978i −0.444743 + 0.119169i −0.474239 0.880396i \(-0.657277\pi\)
0.0294956 + 0.999565i \(0.490610\pi\)
\(48\) 2.02616 + 6.62531i 0.292450 + 0.956281i
\(49\) 10.4591 + 2.80252i 1.49416 + 0.400360i
\(50\) −9.84642 0.526814i −1.39249 0.0745027i
\(51\) 7.00444 6.82462i 0.980817 0.955638i
\(52\) 5.94336 + 11.3566i 0.824196 + 1.57488i
\(53\) −1.80298 + 2.69835i −0.247658 + 0.370647i −0.934383 0.356271i \(-0.884048\pi\)
0.686724 + 0.726918i \(0.259048\pi\)
\(54\) 7.34304 0.282415i 0.999261 0.0384318i
\(55\) −3.81457 + 9.20918i −0.514356 + 1.24176i
\(56\) −1.20941 11.8812i −0.161615 1.58769i
\(57\) 2.19122 + 0.465556i 0.290234 + 0.0616644i
\(58\) 0.215016 + 1.49443i 0.0282330 + 0.196229i
\(59\) −1.47197 1.67846i −0.191634 0.218517i 0.648042 0.761605i \(-0.275588\pi\)
−0.839676 + 0.543088i \(0.817255\pi\)
\(60\) −7.80351 + 9.09804i −1.00743 + 1.17455i
\(61\) −0.524600 8.00385i −0.0671682 1.02479i −0.889840 0.456272i \(-0.849184\pi\)
0.822672 0.568516i \(-0.192482\pi\)
\(62\) −1.36038 1.98400i −0.172768 0.251969i
\(63\) −12.5114 1.97936i −1.57629 0.249376i
\(64\) −7.15170 + 3.58513i −0.893962 + 0.448142i
\(65\) −11.0878 + 19.2046i −1.37527 + 2.38204i
\(66\) 3.52212 + 6.11466i 0.433542 + 0.752662i
\(67\) 0.462419 + 0.228040i 0.0564935 + 0.0278595i 0.470316 0.882498i \(-0.344140\pi\)
−0.413823 + 0.910358i \(0.635807\pi\)
\(68\) 9.12117 + 6.65741i 1.10610 + 0.807329i
\(69\) −11.2193 + 1.32889i −1.35064 + 0.159979i
\(70\) 16.2397 12.7736i 1.94101 1.52674i
\(71\) −6.15008 14.8476i −0.729880 1.76209i −0.642997 0.765869i \(-0.722309\pi\)
−0.0868832 0.996219i \(-0.527691\pi\)
\(72\) 1.73844 + 8.30529i 0.204878 + 0.978788i
\(73\) −0.653950 + 1.57878i −0.0765391 + 0.184782i −0.957518 0.288374i \(-0.906885\pi\)
0.880979 + 0.473156i \(0.156885\pi\)
\(74\) −2.80248 + 0.787078i −0.325782 + 0.0914960i
\(75\) −11.9518 1.73185i −1.38007 0.199977i
\(76\) −0.107198 + 2.58445i −0.0122965 + 0.296457i
\(77\) −3.90990 11.5182i −0.445575 1.31262i
\(78\) 5.99300 + 14.5096i 0.678574 + 1.64289i
\(79\) 3.20599 + 11.9649i 0.360702 + 1.34616i 0.873155 + 0.487442i \(0.162070\pi\)
−0.512453 + 0.858715i \(0.671263\pi\)
\(80\) −11.8636 7.12844i −1.32639 0.796984i
\(81\) 8.98783 + 0.467865i 0.998648 + 0.0519850i
\(82\) 10.4891 2.21755i 1.15833 0.244888i
\(83\) 0.225652 + 0.197892i 0.0247686 + 0.0217215i 0.671641 0.740877i \(-0.265590\pi\)
−0.646872 + 0.762599i \(0.723923\pi\)
\(84\) −0.160793 14.6257i −0.0175439 1.59580i
\(85\) −1.27774 + 19.4946i −0.138591 + 2.11448i
\(86\) 0.746288 + 1.25752i 0.0804743 + 0.135602i
\(87\) 0.0969390 + 1.84660i 0.0103930 + 0.197977i
\(88\) −6.28168 + 5.18969i −0.669629 + 0.553223i
\(89\) 10.0904 4.17957i 1.06958 0.443034i 0.222736 0.974879i \(-0.428501\pi\)
0.846842 + 0.531845i \(0.178501\pi\)
\(90\) −10.5247 + 10.2340i −1.10940 + 1.07875i
\(91\) −5.27925 26.5406i −0.553415 2.78221i
\(92\) −3.67778 12.5163i −0.383435 1.30491i
\(93\) −1.43982 2.57046i −0.149303 0.266544i
\(94\) −1.48553 4.20963i −0.153221 0.434190i
\(95\) −3.87555 + 2.23755i −0.397623 + 0.229568i
\(96\) −9.11981 + 3.58176i −0.930787 + 0.365561i
\(97\) −13.1981 7.61991i −1.34006 0.773684i −0.353245 0.935531i \(-0.614922\pi\)
−0.986816 + 0.161847i \(0.948255\pi\)
\(98\) −2.80706 + 15.0538i −0.283556 + 1.52066i
\(99\) 3.61961 + 7.84792i 0.363785 + 0.788746i
\(100\) −0.334582 13.9408i −0.0334582 1.39408i
\(101\) 12.5453 + 4.25857i 1.24831 + 0.423743i 0.865885 0.500244i \(-0.166756\pi\)
0.382423 + 0.923987i \(0.375090\pi\)
\(102\) 10.3890 + 9.12934i 1.02866 + 0.903939i
\(103\) −5.26416 4.03933i −0.518693 0.398007i 0.315969 0.948769i \(-0.397670\pi\)
−0.834662 + 0.550763i \(0.814337\pi\)
\(104\) −15.3622 + 9.62261i −1.50639 + 0.943574i
\(105\) 21.2212 13.7839i 2.07098 1.34517i
\(106\) −4.00188 2.24691i −0.388697 0.218239i
\(107\) 0.494088 + 0.330139i 0.0477653 + 0.0319158i 0.579224 0.815169i \(-0.303356\pi\)
−0.531458 + 0.847084i \(0.678356\pi\)
\(108\) 1.20166 + 10.3226i 0.115630 + 0.993292i
\(109\) 1.66718 8.38149i 0.159687 0.802801i −0.815041 0.579404i \(-0.803285\pi\)
0.974728 0.223397i \(-0.0717146\pi\)
\(110\) −13.4021 4.37079i −1.27784 0.416738i
\(111\) −3.50537 + 0.650000i −0.332715 + 0.0616952i
\(112\) 16.6198 3.00526i 1.57042 0.283970i
\(113\) 4.62263 + 1.23863i 0.434861 + 0.116521i 0.469607 0.882876i \(-0.344396\pi\)
−0.0347463 + 0.999396i \(0.511062\pi\)
\(114\) −0.416664 + 3.14050i −0.0390241 + 0.294135i
\(115\) 14.8811 16.9686i 1.38767 1.58233i
\(116\) −2.08358 + 0.466685i −0.193456 + 0.0433306i
\(117\) 5.70474 + 18.3609i 0.527404 + 1.69746i
\(118\) 2.20552 2.25909i 0.203035 0.207966i
\(119\) −14.5129 18.9135i −1.33039 1.73380i
\(120\) −13.6819 10.0073i −1.24898 0.913534i
\(121\) 1.64423 2.14280i 0.149476 0.194800i
\(122\) 11.2278 1.61544i 1.01652 0.146255i
\(123\) 13.0393 1.54446i 1.17571 0.139259i
\(124\) 2.64854 2.13519i 0.237846 0.191745i
\(125\) 5.67464 3.79168i 0.507556 0.339138i
\(126\) 1.42187 17.8573i 0.126670 1.59086i
\(127\) 8.11827 0.720380 0.360190 0.932879i \(-0.382712\pi\)
0.360190 + 0.932879i \(0.382712\pi\)
\(128\) −5.83747 9.69144i −0.515964 0.856610i
\(129\) 0.771160 + 1.61641i 0.0678969 + 0.142317i
\(130\) −28.2912 13.5322i −2.48130 1.18685i
\(131\) −11.1049 5.47632i −0.970237 0.478468i −0.113115 0.993582i \(-0.536083\pi\)
−0.857122 + 0.515114i \(0.827750\pi\)
\(132\) −8.23613 + 5.63515i −0.716863 + 0.490476i
\(133\) 1.75535 5.17109i 0.152208 0.448391i
\(134\) −0.270933 + 0.676951i −0.0234051 + 0.0584797i
\(135\) −13.9696 + 11.3184i −1.20231 + 0.974135i
\(136\) −8.38875 + 13.5891i −0.719330 + 1.16525i
\(137\) −1.59200 2.07474i −0.136014 0.177257i 0.720380 0.693579i \(-0.243967\pi\)
−0.856394 + 0.516322i \(0.827301\pi\)
\(138\) −3.10129 15.6735i −0.263999 1.33421i
\(139\) 3.49243 + 0.228906i 0.296224 + 0.0194155i 0.212791 0.977098i \(-0.431745\pi\)
0.0834332 + 0.996513i \(0.473411\pi\)
\(140\) 19.7873 + 21.4999i 1.67234 + 1.81707i
\(141\) −1.34627 5.29898i −0.113376 0.446255i
\(142\) 20.2618 10.2961i 1.70033 0.864026i
\(143\) −13.0552 + 13.0552i −1.09173 + 1.09173i
\(144\) −11.5200 + 3.35991i −0.960002 + 0.279992i
\(145\) −2.61208 2.61208i −0.216922 0.216922i
\(146\) −2.29759 0.749307i −0.190150 0.0620131i
\(147\) −5.08923 + 18.0511i −0.419752 + 1.48883i
\(148\) −1.41640 3.86531i −0.116428 0.317726i
\(149\) −0.607899 + 9.27474i −0.0498010 + 0.759816i 0.897809 + 0.440386i \(0.145158\pi\)
−0.947610 + 0.319431i \(0.896508\pi\)
\(150\) 1.13413 17.0412i 0.0926012 1.39141i
\(151\) −7.07217 + 5.42667i −0.575525 + 0.441616i −0.855067 0.518518i \(-0.826484\pi\)
0.279542 + 0.960133i \(0.409817\pi\)
\(152\) −3.65574 + 0.131639i −0.296520 + 0.0106773i
\(153\) 11.6619 + 12.2847i 0.942805 + 0.993159i
\(154\) 15.8126 6.77316i 1.27421 0.545797i
\(155\) 5.57336 + 1.89190i 0.447663 + 0.151961i
\(156\) −19.8024 + 10.0376i −1.58546 + 0.803650i
\(157\) 7.48259 15.1732i 0.597176 1.21095i −0.363061 0.931765i \(-0.618268\pi\)
0.960237 0.279187i \(-0.0900650\pi\)
\(158\) −16.5194 + 5.82954i −1.31421 + 0.463773i
\(159\) −4.63268 3.18335i −0.367395 0.252456i
\(160\) 8.75283 17.5073i 0.691972 1.38407i
\(161\) 27.5411i 2.17054i
\(162\) 0.323753 + 12.7238i 0.0254364 + 0.999676i
\(163\) 5.70404 + 8.53671i 0.446775 + 0.668646i 0.984682 0.174358i \(-0.0557849\pi\)
−0.537907 + 0.843004i \(0.680785\pi\)
\(164\) 4.27439 + 14.5467i 0.333774 + 1.13591i
\(165\) −15.8635 6.81385i −1.23497 0.530458i
\(166\) −0.254332 + 0.339817i −0.0197400 + 0.0263749i
\(167\) 14.3018 + 10.9742i 1.10671 + 0.849208i 0.989591 0.143910i \(-0.0459675\pi\)
0.117119 + 0.993118i \(0.462634\pi\)
\(168\) 20.6043 1.82703i 1.58965 0.140958i
\(169\) −22.2726 + 17.0904i −1.71328 + 1.31465i
\(170\) −27.6267 + 0.331474i −2.11887 + 0.0254229i
\(171\) −0.855644 + 3.78449i −0.0654327 + 0.289407i
\(172\) −1.69142 + 1.18984i −0.128969 + 0.0907246i
\(173\) 9.58627 + 8.40694i 0.728831 + 0.639168i 0.941133 0.338036i \(-0.109763\pi\)
−0.212302 + 0.977204i \(0.568096\pi\)
\(174\) −2.59306 + 0.338733i −0.196579 + 0.0256793i
\(175\) −7.61961 + 28.4368i −0.575988 + 2.14962i
\(176\) −8.00466 8.28916i −0.603374 0.624819i
\(177\) 2.94008 2.51151i 0.220990 0.188777i
\(178\) 6.99716 + 13.7699i 0.524459 + 1.03209i
\(179\) −0.719688 0.143155i −0.0537920 0.0106999i 0.168121 0.985766i \(-0.446230\pi\)
−0.221913 + 0.975066i \(0.571230\pi\)
\(180\) −15.5812 13.7198i −1.16135 1.02261i
\(181\) −4.32036 + 6.46588i −0.321130 + 0.480605i −0.956553 0.291559i \(-0.905826\pi\)
0.635423 + 0.772164i \(0.280826\pi\)
\(182\) 36.8439 10.3476i 2.73105 0.767016i
\(183\) 13.8737 0.728313i 1.02558 0.0538385i
\(184\) 17.2453 6.55508i 1.27134 0.483247i
\(185\) 4.33563 5.65030i 0.318762 0.415418i
\(186\) 3.46674 2.31137i 0.254194 0.169478i
\(187\) −5.22838 + 15.4023i −0.382337 + 1.12633i
\(188\) 5.77292 2.55517i 0.421033 0.186355i
\(189\) 3.70981 21.6240i 0.269849 1.57291i
\(190\) −3.57895 5.21960i −0.259644 0.378670i
\(191\) −0.847959 + 1.46871i −0.0613562 + 0.106272i −0.895072 0.445922i \(-0.852876\pi\)
0.833716 + 0.552194i \(0.186209\pi\)
\(192\) −6.04806 12.4668i −0.436481 0.899714i
\(193\) −11.4707 19.8678i −0.825676 1.43011i −0.901402 0.432984i \(-0.857461\pi\)
0.0757259 0.997129i \(-0.475873\pi\)
\(194\) 9.29977 19.4427i 0.667684 1.39590i
\(195\) −33.0109 19.6355i −2.36396 1.40612i
\(196\) −21.5326 2.31073i −1.53804 0.165052i
\(197\) −7.30531 + 1.45312i −0.520482 + 0.103530i −0.448338 0.893864i \(-0.647984\pi\)
−0.0721436 + 0.997394i \(0.522984\pi\)
\(198\) −10.6693 + 5.96227i −0.758235 + 0.423720i
\(199\) 5.67444 + 13.6993i 0.402251 + 0.971119i 0.987119 + 0.159990i \(0.0511463\pi\)
−0.584868 + 0.811129i \(0.698854\pi\)
\(200\) 19.6196 1.99713i 1.38732 0.141218i
\(201\) −0.405357 + 0.795731i −0.0285917 + 0.0561265i
\(202\) −4.63179 + 18.1546i −0.325891 + 1.27735i
\(203\) 4.49813 + 0.294823i 0.315707 + 0.0206925i
\(204\) −11.7354 + 15.6471i −0.821642 + 1.09551i
\(205\) −17.2951 + 19.7213i −1.20794 + 1.37739i
\(206\) 5.11936 7.86430i 0.356683 0.547932i
\(207\) −2.04885 19.4606i −0.142405 1.35261i
\(208\) −15.2485 20.6074i −1.05730 1.42887i
\(209\) −3.59890 + 0.964323i −0.248941 + 0.0667036i
\(210\) 21.7569 + 28.4132i 1.50137 + 1.96070i
\(211\) 15.5824 5.28953i 1.07274 0.364146i 0.271468 0.962447i \(-0.412491\pi\)
0.801271 + 0.598301i \(0.204157\pi\)
\(212\) 2.73020 5.88840i 0.187511 0.404417i
\(213\) 25.8531 10.3170i 1.77143 0.706908i
\(214\) −0.411426 + 0.732775i −0.0281245 + 0.0500915i
\(215\) −3.30542 1.36915i −0.225428 0.0933752i
\(216\) −14.4231 + 2.82379i −0.981369 + 0.192134i
\(217\) −6.63553 + 2.74853i −0.450449 + 0.186582i
\(218\) 12.0001 + 1.43360i 0.812749 + 0.0970955i
\(219\) −2.71956 1.16813i −0.183771 0.0789351i
\(220\) 4.69627 19.3748i 0.316623 1.30625i
\(221\) −16.0045 + 32.4540i −1.07658 + 2.18309i
\(222\) −1.30003 4.87135i −0.0872525 0.326944i
\(223\) 8.02807 + 4.63501i 0.537599 + 0.310383i 0.744105 0.668062i \(-0.232876\pi\)
−0.206506 + 0.978445i \(0.566209\pi\)
\(224\) 6.05584 + 23.1047i 0.404623 + 1.54375i
\(225\) 3.26855 20.6603i 0.217904 1.37736i
\(226\) −1.24064 + 6.65332i −0.0825260 + 0.442572i
\(227\) 1.09565 0.0718125i 0.0727207 0.00476637i −0.0289994 0.999579i \(-0.509232\pi\)
0.101720 + 0.994813i \(0.467565\pi\)
\(228\) −4.47361 0.243858i −0.296272 0.0161499i
\(229\) −16.2004 + 14.2074i −1.07055 + 0.938848i −0.998285 0.0585373i \(-0.981356\pi\)
−0.0722659 + 0.997385i \(0.523023\pi\)
\(230\) 25.5535 + 19.1252i 1.68495 + 1.26108i
\(231\) 20.0365 6.51219i 1.31830 0.428471i
\(232\) −0.885995 2.88674i −0.0581685 0.189524i
\(233\) 19.6339 + 8.13263i 1.28626 + 0.532786i 0.917868 0.396885i \(-0.129909\pi\)
0.368391 + 0.929671i \(0.379909\pi\)
\(234\) −25.2642 + 10.0526i −1.65157 + 0.657156i
\(235\) 9.08138 + 6.06798i 0.592404 + 0.395832i
\(236\) 3.42658 + 2.86254i 0.223052 + 0.186336i
\(237\) −20.7943 + 5.28302i −1.35073 + 0.343169i
\(238\) 25.0796 22.5323i 1.62567 1.46055i
\(239\) 6.24106 23.2920i 0.403701 1.50663i −0.402739 0.915315i \(-0.631942\pi\)
0.806440 0.591316i \(-0.201392\pi\)
\(240\) 12.6129 20.3860i 0.814162 1.31591i
\(241\) 2.15338 + 8.03652i 0.138711 + 0.517678i 0.999955 + 0.00948564i \(0.00301942\pi\)
−0.861244 + 0.508192i \(0.830314\pi\)
\(242\) 3.20121 + 2.08386i 0.205781 + 0.133956i
\(243\) −1.01270 + 15.5555i −0.0649648 + 0.997888i
\(244\) 3.50625 + 15.6542i 0.224465 + 1.00216i
\(245\) −16.5710 33.6027i −1.05868 2.14680i
\(246\) 3.60438 + 18.2160i 0.229807 + 1.16141i
\(247\) −8.21796 + 1.08192i −0.522896 + 0.0688406i
\(248\) 3.30035 + 3.50075i 0.209573 + 0.222298i
\(249\) −0.347811 + 0.386352i −0.0220417 + 0.0244841i
\(250\) 5.96707 + 7.58623i 0.377391 + 0.479795i
\(251\) −15.7093 + 3.12478i −0.991565 + 0.197235i −0.664112 0.747633i \(-0.731190\pi\)
−0.327453 + 0.944868i \(0.606190\pi\)
\(252\) 25.3339 + 0.0508887i 1.59589 + 0.00320569i
\(253\) 15.6239 10.4396i 0.982267 0.656330i
\(254\) 0.888285 + 11.4465i 0.0557359 + 0.718220i
\(255\) −33.7340 2.65194i −2.11250 0.166071i
\(256\) 13.0260 9.29110i 0.814122 0.580694i
\(257\) −1.79256 3.10480i −0.111817 0.193672i 0.804686 0.593700i \(-0.202334\pi\)
−0.916503 + 0.400028i \(0.869000\pi\)
\(258\) −2.19471 + 1.26418i −0.136637 + 0.0787044i
\(259\) 0.568414 + 8.67232i 0.0353195 + 0.538872i
\(260\) 15.9844 41.3705i 0.991313 2.56569i
\(261\) −3.20032 + 0.126304i −0.198095 + 0.00781804i
\(262\) 6.50639 16.2568i 0.401966 1.00435i
\(263\) 26.1549 + 3.44336i 1.61278 + 0.212327i 0.882328 0.470635i \(-0.155975\pi\)
0.730454 + 0.682962i \(0.239308\pi\)
\(264\) −8.84659 10.9961i −0.544470 0.676766i
\(265\) 11.1330 1.46568i 0.683893 0.0900362i
\(266\) 7.48318 + 1.90919i 0.458823 + 0.117060i
\(267\) 7.01139 + 17.5697i 0.429090 + 1.07525i
\(268\) −0.984128 0.307939i −0.0601152 0.0188103i
\(269\) −15.5663 3.09633i −0.949094 0.188786i −0.303813 0.952732i \(-0.598260\pi\)
−0.645281 + 0.763945i \(0.723260\pi\)
\(270\) −17.4872 18.4583i −1.06424 1.12334i
\(271\) 10.3740 10.3740i 0.630177 0.630177i −0.317935 0.948112i \(-0.602989\pi\)
0.948112 + 0.317935i \(0.102989\pi\)
\(272\) −20.0781 10.3410i −1.21741 0.627018i
\(273\) 46.0846 8.54546i 2.78917 0.517195i
\(274\) 2.75114 2.47170i 0.166202 0.149321i
\(275\) 19.0203 6.45651i 1.14696 0.389342i
\(276\) 21.7599 6.08770i 1.30979 0.366436i
\(277\) 7.60100 3.74840i 0.456700 0.225219i −0.199363 0.979926i \(-0.563887\pi\)
0.656063 + 0.754706i \(0.272221\pi\)
\(278\) 0.0593831 + 4.94928i 0.00356156 + 0.296838i
\(279\) 4.48421 2.43575i 0.268463 0.145825i
\(280\) −28.1491 + 30.2521i −1.68223 + 1.80791i
\(281\) 0.114358 0.868636i 0.00682204 0.0518185i −0.987695 0.156391i \(-0.950014\pi\)
0.994517 + 0.104572i \(0.0333474\pi\)
\(282\) 7.32412 2.47800i 0.436145 0.147563i
\(283\) −7.82392 + 6.86139i −0.465083 + 0.407867i −0.859557 0.511040i \(-0.829260\pi\)
0.394473 + 0.918907i \(0.370927\pi\)
\(284\) 16.7342 + 27.4421i 0.992991 + 1.62839i
\(285\) −3.78795 6.76248i −0.224379 0.400575i
\(286\) −19.8359 16.9790i −1.17292 1.00399i
\(287\) 32.0089i 1.88942i
\(288\) −5.99788 15.8753i −0.353429 0.935461i
\(289\) 14.8792i 0.875247i
\(290\) 3.39716 3.96878i 0.199488 0.233055i
\(291\) 13.4942 22.6862i 0.791042 1.32989i
\(292\) 0.805106 3.32153i 0.0471153 0.194378i
\(293\) −13.9096 + 12.1984i −0.812608 + 0.712638i −0.961078 0.276279i \(-0.910899\pi\)
0.148469 + 0.988917i \(0.452565\pi\)
\(294\) −26.0085 5.20056i −1.51684 0.303303i
\(295\) −1.00826 + 7.65852i −0.0587033 + 0.445896i
\(296\) 5.29500 2.42002i 0.307766 0.140661i
\(297\) −13.6734 + 6.09209i −0.793409 + 0.353499i
\(298\) −13.1437 + 0.157702i −0.761392 + 0.00913543i
\(299\) 37.4924 18.4892i 2.16824 1.06926i
\(300\) 24.1517 0.265520i 1.39440 0.0153298i
\(301\) 4.13419 1.40337i 0.238291 0.0808888i
\(302\) −8.42528 9.37780i −0.484820 0.539632i
\(303\) −7.65795 + 21.6314i −0.439938 + 1.24269i
\(304\) −0.585611 5.14010i −0.0335871 0.294805i
\(305\) −19.6248 + 19.6248i −1.12372 + 1.12372i
\(306\) −16.0451 + 17.7871i −0.917237 + 1.01682i
\(307\) −21.9255 4.36125i −1.25135 0.248910i −0.475439 0.879748i \(-0.657711\pi\)
−0.775914 + 0.630839i \(0.782711\pi\)
\(308\) 11.2802 + 21.5542i 0.642747 + 1.22816i
\(309\) 7.11428 9.02605i 0.404717 0.513474i
\(310\) −2.05771 + 8.06530i −0.116870 + 0.458078i
\(311\) 12.2502 1.61278i 0.694648 0.0914521i 0.225069 0.974343i \(-0.427739\pi\)
0.469579 + 0.882891i \(0.344406\pi\)
\(312\) −16.3195 26.8226i −0.923909 1.51853i
\(313\) 23.7755 + 3.13011i 1.34387 + 0.176924i 0.767913 0.640555i \(-0.221296\pi\)
0.575959 + 0.817479i \(0.304629\pi\)
\(314\) 22.2125 + 8.89004i 1.25353 + 0.501694i
\(315\) 23.3945 + 37.0636i 1.31813 + 2.08830i
\(316\) −10.0270 22.6541i −0.564064 1.27439i
\(317\) 1.59987 + 24.4093i 0.0898576 + 1.37096i 0.770076 + 0.637953i \(0.220218\pi\)
−0.680218 + 0.733010i \(0.738115\pi\)
\(318\) 3.98155 6.88027i 0.223274 0.385827i
\(319\) −1.53778 2.66352i −0.0860993 0.149128i
\(320\) 25.6426 + 10.4257i 1.43346 + 0.582812i
\(321\) −0.582896 + 0.848279i −0.0325341 + 0.0473463i
\(322\) −38.8323 + 3.01349i −2.16404 + 0.167935i
\(323\) −6.07172 + 4.05700i −0.337840 + 0.225737i
\(324\) −17.9048 + 1.84870i −0.994712 + 0.102705i
\(325\) 43.8270 8.71773i 2.43108 0.483573i
\(326\) −11.4124 + 8.97663i −0.632075 + 0.497169i
\(327\) 14.4784 + 3.07615i 0.800657 + 0.170111i
\(328\) −20.0428 + 7.61845i −1.10668 + 0.420659i
\(329\) −13.2140 + 1.73966i −0.728513 + 0.0959106i
\(330\) 7.87160 23.1127i 0.433317 1.27231i
\(331\) −13.5271 27.4303i −0.743519 1.50771i −0.857645 0.514242i \(-0.828073\pi\)
0.114126 0.993466i \(-0.463593\pi\)
\(332\) −0.506962 0.321420i −0.0278232 0.0176402i
\(333\) −1.04680 6.08560i −0.0573642 0.333489i
\(334\) −13.9084 + 21.3660i −0.761036 + 1.16910i
\(335\) −0.461735 1.72322i −0.0252273 0.0941494i
\(336\) 4.83054 + 28.8516i 0.263528 + 1.57398i
\(337\) −2.40431 + 8.97299i −0.130971 + 0.488790i −0.999982 0.00600263i \(-0.998089\pi\)
0.869011 + 0.494793i \(0.164756\pi\)
\(338\) −26.5340 29.5338i −1.44326 1.60643i
\(339\) −2.24929 + 7.97806i −0.122165 + 0.433309i
\(340\) −3.49022 38.9166i −0.189284 2.11055i
\(341\) 4.07445 + 2.72246i 0.220644 + 0.147429i
\(342\) −5.42966 0.792345i −0.293602 0.0428451i
\(343\) 14.9331 + 6.18550i 0.806312 + 0.333986i
\(344\) −1.86272 2.25466i −0.100431 0.121563i
\(345\) 29.0529 + 26.1547i 1.56415 + 1.40812i
\(346\) −10.8047 + 14.4363i −0.580862 + 0.776099i
\(347\) 14.7244 12.9130i 0.790448 0.693205i −0.165671 0.986181i \(-0.552979\pi\)
0.956120 + 0.292976i \(0.0946457\pi\)
\(348\) −0.761332 3.61908i −0.0408117 0.194003i
\(349\) 3.03464 0.198901i 0.162440 0.0106469i 0.0160340 0.999871i \(-0.494896\pi\)
0.146406 + 0.989225i \(0.453229\pi\)
\(350\) −40.9288 7.63196i −2.18774 0.407945i
\(351\) −31.9278 + 9.46659i −1.70418 + 0.505289i
\(352\) 10.8117 12.1934i 0.576263 0.649908i
\(353\) 0.792584 + 0.457599i 0.0421850 + 0.0243555i 0.520944 0.853591i \(-0.325580\pi\)
−0.478759 + 0.877946i \(0.658913\pi\)
\(354\) 3.86286 + 3.87063i 0.205309 + 0.205722i
\(355\) −24.5945 + 49.8727i −1.30534 + 2.64697i
\(356\) −18.6495 + 11.3725i −0.988423 + 0.602740i
\(357\) 33.0833 24.7090i 1.75095 1.30774i
\(358\) 0.123098 1.03041i 0.00650593 0.0544586i
\(359\) −20.7629 + 8.60029i −1.09583 + 0.453906i −0.856035 0.516919i \(-0.827079\pi\)
−0.239791 + 0.970824i \(0.577079\pi\)
\(360\) 17.6397 23.4703i 0.929695 1.23699i
\(361\) 16.0083 + 6.63086i 0.842543 + 0.348993i
\(362\) −9.58945 5.38412i −0.504010 0.282983i
\(363\) 3.67411 + 2.89591i 0.192841 + 0.151996i
\(364\) 18.6213 + 50.8167i 0.976019 + 2.66352i
\(365\) 5.59905 1.90062i 0.293068 0.0994830i
\(366\) 2.54494 + 19.4819i 0.133026 + 1.01834i
\(367\) 23.5942 6.32205i 1.23161 0.330008i 0.416402 0.909181i \(-0.363291\pi\)
0.815205 + 0.579173i \(0.196624\pi\)
\(368\) 11.1294 + 23.5981i 0.580162 + 1.23014i
\(369\) 2.38122 + 22.6176i 0.123961 + 1.17742i
\(370\) 8.44117 + 5.49488i 0.438836 + 0.285665i
\(371\) −9.03477 + 10.3022i −0.469062 + 0.534863i
\(372\) 3.63829 + 4.63511i 0.188637 + 0.240319i
\(373\) −30.1543 1.97642i −1.56133 0.102335i −0.739930 0.672684i \(-0.765141\pi\)
−0.821403 + 0.570349i \(0.806808\pi\)
\(374\) −22.2889 5.68659i −1.15253 0.294047i
\(375\) 6.43903 + 9.91333i 0.332510 + 0.511922i
\(376\) 4.23439 + 7.86009i 0.218372 + 0.405353i
\(377\) −2.61839 6.32135i −0.134854 0.325566i
\(378\) 30.8952 + 2.86469i 1.58908 + 0.147344i
\(379\) 5.67402 1.12863i 0.291455 0.0579740i −0.0471973 0.998886i \(-0.515029\pi\)
0.338652 + 0.940912i \(0.390029\pi\)
\(380\) 6.96790 5.61734i 0.357446 0.288163i
\(381\) −0.182821 + 14.0601i −0.00936620 + 0.720319i
\(382\) −2.16362 1.03490i −0.110701 0.0529500i
\(383\) 1.60890 + 2.78670i 0.0822111 + 0.142394i 0.904199 0.427111i \(-0.140468\pi\)
−0.821988 + 0.569504i \(0.807135\pi\)
\(384\) 16.9161 9.89170i 0.863246 0.504783i
\(385\) −21.0440 + 36.4492i −1.07250 + 1.85763i
\(386\) 26.7579 18.3472i 1.36194 0.933849i
\(387\) −2.81683 + 1.29918i −0.143187 + 0.0660408i
\(388\) 28.4313 + 10.9851i 1.44338 + 0.557682i
\(389\) 2.29782 6.76916i 0.116504 0.343210i −0.872999 0.487722i \(-0.837828\pi\)
0.989503 + 0.144512i \(0.0461612\pi\)
\(390\) 24.0735 48.6929i 1.21901 2.46566i
\(391\) 22.4197 29.2179i 1.13381 1.47761i
\(392\) 0.902021 30.6132i 0.0455589 1.54620i
\(393\) 9.73453 19.1092i 0.491042 0.963934i
\(394\) −2.84819 10.1413i −0.143490 0.510911i
\(395\) 23.8120 35.6372i 1.19811 1.79310i
\(396\) −9.57406 14.3911i −0.481115 0.723179i
\(397\) −15.0293 2.98952i −0.754301 0.150040i −0.197061 0.980391i \(-0.563140\pi\)
−0.557240 + 0.830352i \(0.688140\pi\)
\(398\) −18.6948 + 9.49977i −0.937086 + 0.476181i
\(399\) 8.91631 + 3.15655i 0.446374 + 0.158025i
\(400\) 4.96264 + 27.4446i 0.248132 + 1.37223i
\(401\) 9.15751 34.1763i 0.457304 1.70668i −0.223920 0.974607i \(-0.571886\pi\)
0.681225 0.732075i \(-0.261448\pi\)
\(402\) −1.16631 0.484476i −0.0581704 0.0241634i
\(403\) 8.19628 + 7.18795i 0.408286 + 0.358057i
\(404\) −26.1043 4.54426i −1.29874 0.226086i
\(405\) −19.2878 24.4488i −0.958421 1.21487i
\(406\) 0.0764835 + 6.37451i 0.00379581 + 0.316362i
\(407\) 4.70430 3.60973i 0.233183 0.178928i
\(408\) −23.3460 14.8345i −1.15580 0.734419i
\(409\) −10.7220 8.22728i −0.530169 0.406813i 0.308689 0.951163i \(-0.400110\pi\)
−0.838858 + 0.544350i \(0.816776\pi\)
\(410\) −29.6989 22.2278i −1.46672 1.09775i
\(411\) 3.62910 2.71048i 0.179011 0.133698i
\(412\) 11.6486 + 6.35767i 0.573886 + 0.313220i
\(413\) −5.23693 7.83761i −0.257692 0.385664i
\(414\) 27.2148 5.01817i 1.33753 0.246630i
\(415\) 1.03850i 0.0509779i
\(416\) 27.3875 23.7549i 1.34278 1.16468i
\(417\) −0.475091 + 6.04339i −0.0232653 + 0.295946i
\(418\) −1.75346 4.96885i −0.0857643 0.243034i
\(419\) 10.0630 20.4057i 0.491608 0.996882i −0.499808 0.866136i \(-0.666596\pi\)
0.991416 0.130746i \(-0.0417371\pi\)
\(420\) −37.6813 + 33.7856i −1.83866 + 1.64857i
\(421\) −8.41400 2.85617i −0.410073 0.139201i 0.108777 0.994066i \(-0.465307\pi\)
−0.518850 + 0.854865i \(0.673640\pi\)
\(422\) 9.16309 + 21.3921i 0.446052 + 1.04135i
\(423\) 9.20765 2.21227i 0.447691 0.107564i
\(424\) 8.60122 + 3.20522i 0.417712 + 0.155659i
\(425\) 31.2323 23.9654i 1.51499 1.16249i
\(426\) 17.3755 + 35.3234i 0.841845 + 1.71142i
\(427\) 2.21504 33.7949i 0.107193 1.63545i
\(428\) −1.07821 0.499921i −0.0521173 0.0241646i
\(429\) −22.3163 22.9043i −1.07744 1.10583i
\(430\) 1.56879 4.81036i 0.0756539 0.231976i
\(431\) 22.6396 + 22.6396i 1.09051 + 1.09051i 0.995474 + 0.0950366i \(0.0302968\pi\)
0.0950366 + 0.995474i \(0.469703\pi\)
\(432\) −5.55961 20.0272i −0.267487 0.963561i
\(433\) 20.0291 20.0291i 0.962536 0.962536i −0.0367870 0.999323i \(-0.511712\pi\)
0.999323 + 0.0367870i \(0.0117123\pi\)
\(434\) −4.60140 9.05519i −0.220874 0.434663i
\(435\) 4.58270 4.46505i 0.219724 0.214083i
\(436\) −0.708309 + 17.0767i −0.0339218 + 0.817825i
\(437\) 8.41803 + 0.551747i 0.402689 + 0.0263936i
\(438\) 1.34947 3.96233i 0.0644801 0.189327i
\(439\) 18.6295 + 24.2785i 0.889138 + 1.15875i 0.986543 + 0.163503i \(0.0522793\pi\)
−0.0974045 + 0.995245i \(0.531054\pi\)
\(440\) 27.8319 + 4.50167i 1.32683 + 0.214609i
\(441\) −31.1482 9.22056i −1.48325 0.439074i
\(442\) −47.5105 19.0149i −2.25984 0.904448i
\(443\) −6.28581 + 18.5174i −0.298648 + 0.879788i 0.689228 + 0.724544i \(0.257950\pi\)
−0.987876 + 0.155244i \(0.950384\pi\)
\(444\) 6.72624 2.36603i 0.319213 0.112287i
\(445\) −33.8933 16.7143i −1.60670 0.792335i
\(446\) −5.65683 + 11.8265i −0.267859 + 0.560002i
\(447\) −16.0493 1.26169i −0.759105 0.0596757i
\(448\) −31.9144 + 11.0666i −1.50781 + 0.522850i
\(449\) −3.68299 −0.173811 −0.0869055 0.996217i \(-0.527698\pi\)
−0.0869055 + 0.996217i \(0.527698\pi\)
\(450\) 29.4882 + 2.34797i 1.39009 + 0.110684i
\(451\) −18.1584 + 12.1331i −0.855048 + 0.571325i
\(452\) −9.51676 1.02127i −0.447631 0.0480367i
\(453\) −9.23920 12.3705i −0.434096 0.581218i
\(454\) 0.221137 + 1.53698i 0.0103785 + 0.0721339i
\(455\) −56.9999 + 74.2838i −2.67220 + 3.48248i
\(456\) −0.145660 6.33436i −0.00682115 0.296634i
\(457\) −17.1230 22.3151i −0.800978 1.04386i −0.997985 0.0634533i \(-0.979789\pi\)
0.197006 0.980402i \(-0.436878\pi\)
\(458\) −21.8046 21.2876i −1.01886 0.994703i
\(459\) −21.5386 + 19.9206i −1.00533 + 0.929812i
\(460\) −24.1701 + 38.1225i −1.12694 + 1.77747i
\(461\) −7.97450 + 9.09318i −0.371410 + 0.423511i −0.907108 0.420898i \(-0.861715\pi\)
0.535698 + 0.844409i \(0.320048\pi\)
\(462\) 11.3744 + 27.5384i 0.529184 + 1.28120i
\(463\) −18.4672 4.94826i −0.858242 0.229965i −0.197245 0.980354i \(-0.563200\pi\)
−0.660997 + 0.750389i \(0.729866\pi\)
\(464\) 3.97328 1.56509i 0.184455 0.0726576i
\(465\) −3.40210 + 9.60992i −0.157769 + 0.445649i
\(466\) −9.31849 + 28.5731i −0.431671 + 1.32363i
\(467\) 2.84724 14.3140i 0.131754 0.662374i −0.857299 0.514818i \(-0.827859\pi\)
0.989054 0.147556i \(-0.0471407\pi\)
\(468\) −16.9382 34.5219i −0.782969 1.59578i
\(469\) 1.81011 + 1.20947i 0.0835829 + 0.0558483i
\(470\) −7.56203 + 13.4685i −0.348811 + 0.621254i
\(471\) 26.1100 + 13.3008i 1.20309 + 0.612870i
\(472\) −3.66118 + 5.14461i −0.168520 + 0.236800i
\(473\) −2.36320 1.81335i −0.108660 0.0833778i
\(474\) −9.72419 28.7413i −0.446647 1.32013i
\(475\) 8.53914 + 2.89865i 0.391802 + 0.132999i
\(476\) 34.5141 + 32.8962i 1.58195 + 1.50780i
\(477\) 5.61759 7.95167i 0.257212 0.364082i
\(478\) 33.5239 + 6.25118i 1.53335 + 0.285922i
\(479\) −21.7211 12.5407i −0.992461 0.572998i −0.0864519 0.996256i \(-0.527553\pi\)
−0.906009 + 0.423258i \(0.860886\pi\)
\(480\) 30.1239 + 15.5533i 1.37496 + 0.709909i
\(481\) 11.4243 6.59580i 0.520901 0.300743i
\(482\) −11.0957 + 3.91555i −0.505394 + 0.178348i
\(483\) −47.6986 0.620217i −2.17036 0.0282209i
\(484\) −2.58792 + 4.74163i −0.117633 + 0.215529i
\(485\) 10.2874 + 51.7184i 0.467128 + 2.34841i
\(486\) −22.0437 + 0.274173i −0.999923 + 0.0124367i
\(487\) 26.1291 10.8230i 1.18402 0.490437i 0.298217 0.954498i \(-0.403608\pi\)
0.885803 + 0.464061i \(0.153608\pi\)
\(488\) −21.6884 + 6.65658i −0.981786 + 0.301329i
\(489\) −14.9132 + 9.68662i −0.674399 + 0.438044i
\(490\) 45.5658 27.0414i 2.05845 1.22161i
\(491\) 0.0746135 1.13838i 0.00336726 0.0513745i −0.995845 0.0910687i \(-0.970972\pi\)
0.999212 + 0.0396942i \(0.0126384\pi\)
\(492\) −25.2898 + 7.07525i −1.14015 + 0.318977i
\(493\) −4.53200 3.97445i −0.204111 0.179000i
\(494\) −2.42467 11.4687i −0.109091 0.516003i
\(495\) 12.1582 27.3206i 0.546469 1.22797i
\(496\) −4.57485 + 5.03646i −0.205417 + 0.226144i
\(497\) −17.5626 65.5447i −0.787792 2.94008i
\(498\) −0.582803 0.448131i −0.0261160 0.0200812i
\(499\) −9.24509 27.2352i −0.413867 1.21921i −0.931541 0.363636i \(-0.881535\pi\)
0.517674 0.855578i \(-0.326798\pi\)
\(500\) −10.0435 + 9.24349i −0.449158 + 0.413382i
\(501\) −19.3283 + 24.5223i −0.863526 + 1.09557i
\(502\) −6.12475 21.8079i −0.273361 0.973333i
\(503\) 2.78488 6.72329i 0.124172 0.299777i −0.849554 0.527502i \(-0.823129\pi\)
0.973725 + 0.227725i \(0.0731288\pi\)
\(504\) 2.70024 + 35.7258i 0.120278 + 1.59135i
\(505\) −17.5426 42.3517i −0.780638 1.88463i
\(506\) 16.4291 + 20.8870i 0.730361 + 0.928542i
\(507\) −29.0973 38.9589i −1.29226 1.73023i
\(508\) −16.0421 + 2.50492i −0.711755 + 0.111138i
\(509\) 31.1364 + 15.3548i 1.38009 + 0.680588i 0.972571 0.232607i \(-0.0747256\pi\)
0.407524 + 0.913194i \(0.366392\pi\)
\(510\) 0.0480628 47.8542i 0.00212825 2.11902i
\(511\) −3.60768 + 6.24868i −0.159594 + 0.276425i
\(512\) 14.5255 + 17.3496i 0.641942 + 0.766753i
\(513\) −6.53511 1.56712i −0.288532 0.0691900i
\(514\) 4.18155 2.86718i 0.184440 0.126466i
\(515\) 1.50159 + 22.9099i 0.0661680 + 1.00953i
\(516\) −2.02260 2.95616i −0.0890401 0.130138i
\(517\) 5.99573 + 6.83682i 0.263692 + 0.300683i
\(518\) −12.1656 + 1.75036i −0.534524 + 0.0769063i
\(519\) −14.7759 + 16.4132i −0.648590 + 0.720459i
\(520\) 60.0804 + 18.0110i 2.63470 + 0.789833i
\(521\) 9.72993 23.4901i 0.426276 1.02912i −0.554183 0.832395i \(-0.686969\pi\)
0.980458 0.196726i \(-0.0630310\pi\)
\(522\) −0.528259 4.49855i −0.0231213 0.196896i
\(523\) 10.0943 15.1073i 0.441395 0.660594i −0.542353 0.840151i \(-0.682466\pi\)
0.983748 + 0.179557i \(0.0574663\pi\)
\(524\) 23.6336 + 7.39506i 1.03244 + 0.323055i
\(525\) −49.0782 13.8368i −2.14195 0.603888i
\(526\) −1.99323 + 37.2545i −0.0869090 + 1.62438i
\(527\) 9.27695 + 2.48575i 0.404110 + 0.108281i
\(528\) 14.5363 13.6766i 0.632611 0.595199i
\(529\) −18.8800 + 5.05887i −0.820868 + 0.219951i
\(530\) 3.28472 + 15.5368i 0.142679 + 0.674877i
\(531\) 4.28348 + 5.14849i 0.185887 + 0.223425i
\(532\) −1.87311 + 10.7600i −0.0812097 + 0.466504i
\(533\) −43.5745 + 21.4886i −1.88742 + 0.930773i
\(534\) −24.0056 + 11.8083i −1.03883 + 0.510996i
\(535\) −0.268378 2.03853i −0.0116030 0.0881335i
\(536\) 0.326504 1.42129i 0.0141028 0.0613904i
\(537\) 0.264138 1.24321i 0.0113984 0.0536484i
\(538\) 2.66251 22.2869i 0.114789 0.960855i
\(539\) −6.08558 30.5943i −0.262125 1.31779i
\(540\) 24.1123 26.6762i 1.03763 1.14796i
\(541\) 1.04403 + 1.56250i 0.0448863 + 0.0671771i 0.853234 0.521528i \(-0.174638\pi\)
−0.808348 + 0.588705i \(0.799638\pi\)
\(542\) 15.7622 + 13.4920i 0.677045 + 0.579531i
\(543\) −11.1010 7.62806i −0.476389 0.327352i
\(544\) 12.3837 29.4411i 0.530947 1.26228i
\(545\) −25.6076 + 14.7846i −1.09691 + 0.633301i
\(546\) 17.0914 + 64.0431i 0.731443 + 2.74079i
\(547\) −31.1498 + 2.04167i −1.33187 + 0.0872954i −0.714643 0.699489i \(-0.753411\pi\)
−0.617228 + 0.786785i \(0.711744\pi\)
\(548\) 3.78606 + 3.60859i 0.161732 + 0.154151i
\(549\) 0.948937 + 24.0444i 0.0404997 + 1.02619i
\(550\) 11.1847 + 26.1116i 0.476916 + 1.11340i
\(551\) 0.180227 1.36896i 0.00767793 0.0583197i
\(552\) 10.9644 + 30.0147i 0.466676 + 1.27751i
\(553\) 6.82678 + 51.8545i 0.290304 + 2.20508i
\(554\) 6.11683 + 10.3071i 0.259879 + 0.437906i
\(555\) 9.68814 + 7.63614i 0.411239 + 0.324136i
\(556\) −6.97186 + 0.625269i −0.295673 + 0.0265173i
\(557\) 3.58293 18.0126i 0.151814 0.763219i −0.827594 0.561327i \(-0.810291\pi\)
0.979408 0.201892i \(-0.0647090\pi\)
\(558\) 3.92500 + 6.05611i 0.166158 + 0.256376i
\(559\) −4.68585 4.68585i −0.198190 0.198190i
\(560\) −45.7347 36.3795i −1.93264 1.53731i
\(561\) −26.5576 9.40191i −1.12126 0.396949i
\(562\) 1.23727 + 0.0661976i 0.0521910 + 0.00279238i
\(563\) 4.67737 + 13.7791i 0.197128 + 0.580719i 0.999878 0.0155954i \(-0.00496438\pi\)
−0.802751 + 0.596315i \(0.796631\pi\)
\(564\) 4.29531 + 10.0557i 0.180865 + 0.423421i
\(565\) −7.32390 14.8514i −0.308119 0.624803i
\(566\) −10.5305 10.2808i −0.442628 0.432133i
\(567\) 37.3671 + 6.91200i 1.56927 + 0.290277i
\(568\) −36.8616 + 26.5974i −1.54668 + 1.11600i
\(569\) 36.9317 + 4.86215i 1.54826 + 0.203832i 0.855678 0.517509i \(-0.173141\pi\)
0.692580 + 0.721341i \(0.256474\pi\)
\(570\) 9.12045 6.08085i 0.382014 0.254699i
\(571\) −3.54085 4.03757i −0.148180 0.168967i 0.672988 0.739653i \(-0.265011\pi\)
−0.821168 + 0.570686i \(0.806677\pi\)
\(572\) 21.7695 29.8260i 0.910231 1.24709i
\(573\) −2.52457 1.50166i −0.105465 0.0627327i
\(574\) 45.1317 3.50235i 1.88376 0.146185i
\(575\) −45.4792 −1.89662
\(576\) 21.7275 10.1939i 0.905313 0.424746i
\(577\) −25.0386 −1.04237 −0.521185 0.853444i \(-0.674510\pi\)
−0.521185 + 0.853444i \(0.674510\pi\)
\(578\) −20.9793 + 1.62805i −0.872623 + 0.0677180i
\(579\) 34.6674 19.4187i 1.44073 0.807012i
\(580\) 5.96758 + 4.35565i 0.247790 + 0.180859i
\(581\) 0.835565 + 0.952780i 0.0346651 + 0.0395280i
\(582\) 33.4635 + 16.5442i 1.38710 + 0.685777i
\(583\) 9.26903 + 1.22029i 0.383884 + 0.0505393i
\(584\) 4.77136 + 0.771744i 0.197440 + 0.0319350i
\(585\) 34.7501 56.7295i 1.43674 2.34547i
\(586\) −18.7214 18.2775i −0.773374 0.755035i
\(587\) 0.729855 + 1.48000i 0.0301243 + 0.0610861i 0.911415 0.411489i \(-0.134991\pi\)
−0.881290 + 0.472575i \(0.843325\pi\)
\(588\) 4.48687 37.2403i 0.185035 1.53576i
\(589\) 0.707162 + 2.08323i 0.0291381 + 0.0858381i
\(590\) −10.9086 0.583645i −0.449101 0.0240283i
\(591\) −2.35215 12.6848i −0.0967543 0.521784i
\(592\) 3.99154 + 7.20102i 0.164051 + 0.295960i
\(593\) 23.5105 + 23.5105i 0.965461 + 0.965461i 0.999423 0.0339618i \(-0.0108125\pi\)
−0.0339618 + 0.999423i \(0.510812\pi\)
\(594\) −10.0858 18.6125i −0.413826 0.763680i
\(595\) −16.0929 + 80.9042i −0.659743 + 3.31675i
\(596\) −1.66051 18.5150i −0.0680171 0.758403i
\(597\) −23.8537 + 9.51909i −0.976267 + 0.389590i
\(598\) 30.1717 + 50.8403i 1.23381 + 2.07902i
\(599\) 5.62652 + 42.7377i 0.229893 + 1.74621i 0.584677 + 0.811266i \(0.301221\pi\)
−0.354784 + 0.934948i \(0.615445\pi\)
\(600\) 3.01701 + 34.0243i 0.123169 + 1.38904i
\(601\) 2.78093 21.1233i 0.113436 0.861635i −0.836231 0.548377i \(-0.815246\pi\)
0.949668 0.313259i \(-0.101421\pi\)
\(602\) 2.43107 + 5.67554i 0.0990829 + 0.231318i
\(603\) −1.36900 0.719959i −0.0557500 0.0293190i
\(604\) 12.3006 12.9055i 0.500504 0.525119i
\(605\) −9.32559 + 0.611231i −0.379139 + 0.0248501i
\(606\) −31.3377 8.43065i −1.27301 0.342472i
\(607\) 40.4773 23.3696i 1.64292 0.948542i 0.663135 0.748500i \(-0.269226\pi\)
0.979787 0.200041i \(-0.0641077\pi\)
\(608\) 7.18333 1.38812i 0.291323 0.0562956i
\(609\) −0.611902 + 7.78369i −0.0247955 + 0.315411i
\(610\) −29.8178 25.5232i −1.20729 1.03340i
\(611\) 11.2392 + 16.8207i 0.454691 + 0.680493i
\(612\) −26.8349 20.6770i −1.08474 0.835816i
\(613\) 2.42529 + 12.1928i 0.0979567 + 0.492461i 0.998352 + 0.0573886i \(0.0182774\pi\)
−0.900395 + 0.435073i \(0.856723\pi\)
\(614\) 3.75021 31.3916i 0.151346 1.26686i
\(615\) −33.7658 30.3975i −1.36157 1.22575i
\(616\) −29.1566 + 18.2632i −1.17475 + 0.735843i
\(617\) −2.44011 18.5345i −0.0982350 0.746169i −0.967687 0.252153i \(-0.918862\pi\)
0.869452 0.494017i \(-0.164472\pi\)
\(618\) 13.5049 + 9.04334i 0.543248 + 0.363776i
\(619\) −5.46614 + 2.69560i −0.219703 + 0.108345i −0.548810 0.835947i \(-0.684919\pi\)
0.329107 + 0.944293i \(0.393252\pi\)
\(620\) −11.5970 2.01882i −0.465747 0.0810779i
\(621\) 33.7501 3.11017i 1.35434 0.124807i
\(622\) 3.61437 + 17.0961i 0.144923 + 0.685490i
\(623\) 44.5439 11.9355i 1.78461 0.478186i
\(624\) 36.0335 25.9449i 1.44250 1.03863i
\(625\) 10.8641 + 2.91104i 0.434566 + 0.116442i
\(626\) −1.81190 + 33.8654i −0.0724181 + 1.35353i
\(627\) −1.58907 6.25467i −0.0634613 0.249787i
\(628\) −10.1043 + 32.2918i −0.403205 + 1.28858i
\(629\) 6.45664 9.66304i 0.257443 0.385291i
\(630\) −49.6989 + 37.0410i −1.98005 + 1.47575i
\(631\) −3.43268 + 8.28721i −0.136653 + 0.329909i −0.977361 0.211580i \(-0.932139\pi\)
0.840708 + 0.541489i \(0.182139\pi\)
\(632\) 30.8446 16.6166i 1.22693 0.660973i
\(633\) 8.81004 + 27.1064i 0.350168 + 1.07738i
\(634\) −34.2414 + 4.92659i −1.35990 + 0.195660i
\(635\) −18.5211 21.1193i −0.734989 0.838094i
\(636\) 10.1367 + 4.86105i 0.401945 + 0.192753i
\(637\) −4.53873 69.2476i −0.179831 2.74369i
\(638\) 3.58723 2.45967i 0.142020 0.0973793i
\(639\) 17.2858 + 45.0075i 0.683817 + 1.78047i
\(640\) −11.8941 + 37.2961i −0.470157 + 1.47426i
\(641\) 9.38126 16.2488i 0.370538 0.641790i −0.619111 0.785304i \(-0.712507\pi\)
0.989648 + 0.143514i \(0.0458401\pi\)
\(642\) −1.25983 0.729052i −0.0497216 0.0287734i
\(643\) −1.61631 0.797075i −0.0637410 0.0314336i 0.410139 0.912023i \(-0.365480\pi\)
−0.473880 + 0.880590i \(0.657147\pi\)
\(644\) −8.49790 54.4228i −0.334864 2.14456i
\(645\) 2.44567 5.69383i 0.0962982 0.224194i
\(646\) −6.38462 8.11707i −0.251199 0.319362i
\(647\) 4.04937 + 9.77604i 0.159197 + 0.384336i 0.983272 0.182146i \(-0.0583043\pi\)
−0.824074 + 0.566481i \(0.808304\pi\)
\(648\) −4.56572 25.0430i −0.179359 0.983784i
\(649\) −2.46115 + 5.94175i −0.0966088 + 0.233234i
\(650\) 17.0872 + 60.8411i 0.670217 + 2.38638i
\(651\) −4.61076 11.5540i −0.180710 0.452837i
\(652\) −13.9055 15.1090i −0.544583 0.591714i
\(653\) 12.1477 + 35.7859i 0.475375 + 1.40041i 0.875175 + 0.483807i \(0.160746\pi\)
−0.399799 + 0.916603i \(0.630920\pi\)
\(654\) −2.75309 + 20.7507i −0.107654 + 0.811418i
\(655\) 11.0884 + 41.3826i 0.433261 + 1.61695i
\(656\) −12.9349 27.4262i −0.505022 1.07081i
\(657\) 2.08434 4.68371i 0.0813178 0.182729i
\(658\) −3.89873 18.4411i −0.151988 0.718909i
\(659\) 24.2990 + 21.3097i 0.946557 + 0.830108i 0.985594 0.169130i \(-0.0540958\pi\)
−0.0390372 + 0.999238i \(0.512429\pi\)
\(660\) 33.4496 + 8.56981i 1.30202 + 0.333579i
\(661\) 2.08387 31.7937i 0.0810530 1.23663i −0.742678 0.669649i \(-0.766445\pi\)
0.823731 0.566981i \(-0.191889\pi\)
\(662\) 37.1960 22.0743i 1.44566 0.857942i
\(663\) −55.8468 28.4492i −2.16891 1.10487i
\(664\) 0.397723 0.749972i 0.0154346 0.0291046i
\(665\) −17.4571 + 7.23095i −0.676955 + 0.280404i
\(666\) 8.46600 2.14183i 0.328051 0.0829943i
\(667\) 1.35855 + 6.82989i 0.0526032 + 0.264454i
\(668\) −31.6473 17.2727i −1.22447 0.668302i
\(669\) −8.20818 + 13.7995i −0.317347 + 0.533518i
\(670\) 2.37917 0.839585i 0.0919153 0.0324360i
\(671\) −20.0113 + 11.5535i −0.772527 + 0.446019i
\(672\) −40.1515 + 9.96782i −1.54888 + 0.384517i
\(673\) 10.5734 + 6.10455i 0.407574 + 0.235313i 0.689747 0.724051i \(-0.257722\pi\)
−0.282173 + 0.959364i \(0.591055\pi\)
\(674\) −12.9148 2.40820i −0.497458 0.0927605i
\(675\) 35.7081 + 6.12609i 1.37441 + 0.235793i
\(676\) 38.7387 40.6438i 1.48995 1.56322i
\(677\) 39.4310 + 13.3850i 1.51545 + 0.514428i 0.950508 0.310700i \(-0.100563\pi\)
0.564947 + 0.825128i \(0.308897\pi\)
\(678\) −11.4950 2.29850i −0.441462 0.0882733i
\(679\) −51.0504 39.1723i −1.95913 1.50330i
\(680\) 54.4896 9.17931i 2.08958 0.352010i
\(681\) 0.0996988 + 1.89917i 0.00382047 + 0.0727765i
\(682\) −3.39278 + 6.04275i −0.129916 + 0.231389i
\(683\) −8.87924 5.93292i −0.339755 0.227017i 0.373974 0.927439i \(-0.377995\pi\)
−0.713729 + 0.700422i \(0.752995\pi\)
\(684\) 0.523083 7.74238i 0.0200006 0.296037i
\(685\) −1.76532 + 8.87488i −0.0674495 + 0.339092i
\(686\) −7.08744 + 21.7321i −0.270600 + 0.829736i
\(687\) −24.2409 28.3775i −0.924850 1.08267i
\(688\) 2.97520 2.87309i 0.113428 0.109535i
\(689\) 20.0900 + 5.38309i 0.765366 + 0.205079i
\(690\) −33.6985 + 43.8256i −1.28288 + 1.66841i
\(691\) −11.7727 + 13.4242i −0.447856 + 0.510682i −0.931080 0.364815i \(-0.881132\pi\)
0.483224 + 0.875497i \(0.339466\pi\)
\(692\) −21.5370 13.6547i −0.818714 0.519074i
\(693\) 10.8273 + 34.8479i 0.411294 + 1.32376i
\(694\) 19.8181 + 19.3481i 0.752284 + 0.734446i
\(695\) −7.37219 9.60762i −0.279643 0.364438i
\(696\) 5.01951 1.46945i 0.190264 0.0556994i
\(697\) −26.0567 + 33.9577i −0.986967 + 1.28624i
\(698\) 0.612488 + 4.25700i 0.0231830 + 0.161130i
\(699\) −14.5271 + 33.8209i −0.549465 + 1.27922i
\(700\) 6.28252 58.5437i 0.237457 2.21274i
\(701\) −4.67176 + 3.12157i −0.176450 + 0.117900i −0.640659 0.767826i \(-0.721339\pi\)
0.464209 + 0.885726i \(0.346339\pi\)
\(702\) −16.8411 43.9815i −0.635627 1.65998i
\(703\) 2.66211 0.100403
\(704\) 18.3753 + 13.9100i 0.692545 + 0.524252i
\(705\) −10.7137 + 15.5914i −0.403500 + 0.587207i
\(706\) −0.558480 + 1.16759i −0.0210187 + 0.0439430i
\(707\) 50.1704 + 24.7413i 1.88685 + 0.930493i
\(708\) −5.03482 + 5.87005i −0.189220 + 0.220610i
\(709\) −8.51173 + 25.0747i −0.319665 + 0.941702i 0.661737 + 0.749736i \(0.269820\pi\)
−0.981402 + 0.191966i \(0.938514\pi\)
\(710\) −73.0104 29.2207i −2.74003 1.09663i
\(711\) −8.68140 36.1327i −0.325578 1.35508i
\(712\) −18.0755 25.0510i −0.677408 0.938826i
\(713\) −6.75436 8.80246i −0.252953 0.329655i
\(714\) 38.4589 + 43.9429i 1.43929 + 1.64452i
\(715\) 63.7468 + 4.17818i 2.38399 + 0.156255i
\(716\) 1.46632 + 0.0608200i 0.0547988 + 0.00227295i
\(717\) 40.1989 + 11.3334i 1.50126 + 0.423255i
\(718\) −14.3980 28.3342i −0.537330 1.05742i
\(719\) −17.1682 + 17.1682i −0.640266 + 0.640266i −0.950621 0.310355i \(-0.899552\pi\)
0.310355 + 0.950621i \(0.399552\pi\)
\(720\) 35.0226 + 22.3035i 1.30522 + 0.831202i
\(721\) −19.8107 19.8107i −0.737789 0.737789i
\(722\) −7.59775 + 23.2969i −0.282759 + 0.867019i
\(723\) −13.9670 + 3.54847i −0.519438 + 0.131969i
\(724\) 6.54221 14.1100i 0.243139 0.524394i
\(725\) −0.486848 + 7.42786i −0.0180811 + 0.275864i
\(726\) −3.68114 + 5.49726i −0.136620 + 0.204022i
\(727\) −40.5963 + 31.1506i −1.50563 + 1.15531i −0.560712 + 0.828011i \(0.689473\pi\)
−0.944920 + 0.327302i \(0.893861\pi\)
\(728\) −69.6127 + 31.8158i −2.58002 + 1.17917i
\(729\) −26.9179 2.10421i −0.996959 0.0779336i
\(730\) 3.29246 + 7.68655i 0.121859 + 0.284492i
\(731\) −5.52830 1.87660i −0.204471 0.0694087i
\(732\) −27.1905 + 5.71997i −1.00499 + 0.211416i
\(733\) 13.6562 27.6919i 0.504401 1.02283i −0.484575 0.874750i \(-0.661026\pi\)
0.988976 0.148075i \(-0.0473077\pi\)
\(734\) 11.4956 + 32.5755i 0.424309 + 1.20238i
\(735\) 58.5698 27.9427i 2.16038 1.03068i
\(736\) −32.0550 + 18.2743i −1.18156 + 0.673599i
\(737\) 1.48532i 0.0547124i
\(738\) −31.6296 + 5.83222i −1.16430 + 0.214687i
\(739\) 5.46302 + 8.17599i 0.200960 + 0.300759i 0.918238 0.396029i \(-0.129612\pi\)
−0.717278 + 0.696788i \(0.754612\pi\)
\(740\) −6.82402 + 12.5031i −0.250856 + 0.459622i
\(741\) −1.68871 14.2571i −0.0620362 0.523747i
\(742\) −15.5144 11.6116i −0.569551 0.426274i
\(743\) −31.4396 24.1245i −1.15341 0.885042i −0.158654 0.987334i \(-0.550716\pi\)
−0.994754 + 0.102293i \(0.967382\pi\)
\(744\) −6.13729 + 5.63706i −0.225004 + 0.206665i
\(745\) 25.5147 19.5781i 0.934786 0.717287i
\(746\) −0.512726 42.7331i −0.0187722 1.56457i
\(747\) −0.661292 0.611077i −0.0241954 0.0223581i
\(748\) 5.57914 32.0491i 0.203993 1.17183i
\(749\) 1.88641 + 1.65434i 0.0689279 + 0.0604481i
\(750\) −13.2730 + 10.1636i −0.484661 + 0.371121i
\(751\) 7.59212 28.3342i 0.277040 1.03393i −0.677421 0.735595i \(-0.736903\pi\)
0.954462 0.298334i \(-0.0964308\pi\)
\(752\) −10.6192 + 6.83042i −0.387242 + 0.249080i
\(753\) −5.05806 27.2774i −0.184326 0.994045i
\(754\) 8.62644 4.38353i 0.314156 0.159639i
\(755\) 30.2518 + 6.01745i 1.10098 + 0.218998i
\(756\) −0.658647 + 43.8748i −0.0239548 + 1.59571i
\(757\) 27.2947 40.8494i 0.992042 1.48470i 0.121505 0.992591i \(-0.461228\pi\)
0.870536 0.492104i \(-0.163772\pi\)
\(758\) 2.21218 + 7.87673i 0.0803502 + 0.286096i
\(759\) 17.7285 + 27.2942i 0.643503 + 0.990718i
\(760\) 8.68272 + 9.20993i 0.314955 + 0.334079i
\(761\) 3.83182 4.99372i 0.138903 0.181022i −0.718722 0.695298i \(-0.755272\pi\)
0.857625 + 0.514276i \(0.171939\pi\)
\(762\) −19.8443 + 1.28065i −0.718884 + 0.0463931i
\(763\) 11.5984 34.1678i 0.419891 1.23696i
\(764\) 1.22244 3.16389i 0.0442263 0.114465i
\(765\) 5.35258 58.3643i 0.193523 2.11017i
\(766\) −3.75314 + 2.57343i −0.135606 + 0.0929817i
\(767\) −7.15383 + 12.3908i −0.258310 + 0.447406i
\(768\) 15.7980 + 22.7689i 0.570060 + 0.821603i
\(769\) −22.0303 38.1576i −0.794433 1.37600i −0.923199 0.384323i \(-0.874435\pi\)
0.128766 0.991675i \(-0.458898\pi\)
\(770\) −53.6951 25.6833i −1.93504 0.925561i
\(771\) 5.41758 3.03462i 0.195110 0.109289i
\(772\) 28.7969 + 35.7205i 1.03642 + 1.28561i
\(773\)