Properties

Label 168.2.v.a.107.25
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.25
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32990 - 0.481016i) q^{2} +(-1.64844 + 0.531631i) q^{3} +(1.53725 - 1.27940i) q^{4} +(0.646402 - 1.11960i) q^{5} +(-1.93654 + 1.49994i) q^{6} +(2.42742 + 1.05244i) q^{7} +(1.42896 - 2.44091i) q^{8} +(2.43474 - 1.75273i) q^{9} +O(q^{10})\) \(q+(1.32990 - 0.481016i) q^{2} +(-1.64844 + 0.531631i) q^{3} +(1.53725 - 1.27940i) q^{4} +(0.646402 - 1.11960i) q^{5} +(-1.93654 + 1.49994i) q^{6} +(2.42742 + 1.05244i) q^{7} +(1.42896 - 2.44091i) q^{8} +(2.43474 - 1.75273i) q^{9} +(0.321101 - 1.79988i) q^{10} +(-1.60004 + 0.923782i) q^{11} +(-1.85389 + 2.92627i) q^{12} -2.25432i q^{13} +(3.73446 + 0.232013i) q^{14} +(-0.470342 + 2.18925i) q^{15} +(0.726254 - 3.93352i) q^{16} +(-3.89580 + 2.24924i) q^{17} +(2.39486 - 3.50209i) q^{18} +(-2.80851 + 4.86448i) q^{19} +(-0.438742 - 2.54811i) q^{20} +(-4.56098 - 0.444404i) q^{21} +(-1.68353 + 1.99818i) q^{22} +(-0.519880 + 0.900459i) q^{23} +(-1.05790 + 4.78339i) q^{24} +(1.66433 + 2.88270i) q^{25} +(-1.08436 - 2.99801i) q^{26} +(-3.08172 + 4.18366i) q^{27} +(5.07804 - 1.48778i) q^{28} +1.32085 q^{29} +(0.427556 + 3.13771i) q^{30} +(-3.69700 + 2.13446i) q^{31} +(-0.926243 - 5.58051i) q^{32} +(2.14646 - 2.37343i) q^{33} +(-4.09909 + 4.86521i) q^{34} +(2.74740 - 2.03744i) q^{35} +(1.50034 - 5.80939i) q^{36} +(-8.18394 - 4.72500i) q^{37} +(-1.39513 + 7.82020i) q^{38} +(1.19846 + 3.71611i) q^{39} +(-1.80916 - 3.17768i) q^{40} -1.39634i q^{41} +(-6.27939 + 1.60289i) q^{42} -6.02578 q^{43} +(-1.27776 + 3.46717i) q^{44} +(-0.388538 - 3.85890i) q^{45} +(-0.258251 + 1.44759i) q^{46} +(5.90249 - 10.2234i) q^{47} +(0.893991 + 6.87028i) q^{48} +(4.78472 + 5.10944i) q^{49} +(3.60001 + 3.03313i) q^{50} +(5.22625 - 5.77888i) q^{51} +(-2.88418 - 3.46544i) q^{52} +(6.02901 + 10.4425i) q^{53} +(-2.08596 + 7.04619i) q^{54} +2.38854i q^{55} +(6.03762 - 4.42122i) q^{56} +(2.04356 - 9.51192i) q^{57} +(1.75660 - 0.635353i) q^{58} +(9.57732 - 5.52947i) q^{59} +(2.07790 + 3.96717i) q^{60} +(7.65220 + 4.41800i) q^{61} +(-3.88991 + 4.61693i) q^{62} +(7.75477 - 1.69218i) q^{63} +(-3.91612 - 6.97596i) q^{64} +(-2.52393 - 1.45719i) q^{65} +(1.71291 - 4.18890i) q^{66} +(3.05545 + 5.29219i) q^{67} +(-3.11112 + 8.44195i) q^{68} +(0.378281 - 1.76074i) q^{69} +(2.67372 - 4.03113i) q^{70} -14.0121 q^{71} +(-0.799109 - 8.44757i) q^{72} +(-4.38664 - 7.59788i) q^{73} +(-13.1566 - 2.34715i) q^{74} +(-4.27609 - 3.86717i) q^{75} +(1.90626 + 11.0711i) q^{76} +(-4.85619 + 0.558456i) q^{77} +(3.38135 + 4.36556i) q^{78} +(2.37061 + 1.36867i) q^{79} +(-3.93451 - 3.35575i) q^{80} +(2.85588 - 8.53487i) q^{81} +(-0.671663 - 1.85699i) q^{82} -4.74366i q^{83} +(-7.57992 + 5.15217i) q^{84} +5.81566i q^{85} +(-8.01366 + 2.89850i) q^{86} +(-2.17736 + 0.702207i) q^{87} +(-0.0315236 + 5.22561i) q^{88} +(8.31219 + 4.79904i) q^{89} +(-2.37291 - 4.94504i) q^{90} +(2.37254 - 5.47217i) q^{91} +(0.352866 + 2.04936i) q^{92} +(4.95955 - 5.48398i) q^{93} +(2.93207 - 16.4353i) q^{94} +(3.63085 + 6.28882i) q^{95} +(4.49363 + 8.70674i) q^{96} -8.73466 q^{97} +(8.82091 + 4.49350i) q^{98} +(-2.27653 + 5.05360i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32990 0.481016i 0.940378 0.340130i
\(3\) −1.64844 + 0.531631i −0.951730 + 0.306937i
\(4\) 1.53725 1.27940i 0.768623 0.639702i
\(5\) 0.646402 1.11960i 0.289080 0.500700i −0.684511 0.729003i \(-0.739984\pi\)
0.973590 + 0.228302i \(0.0733175\pi\)
\(6\) −1.93654 + 1.49994i −0.790588 + 0.612349i
\(7\) 2.42742 + 1.05244i 0.917478 + 0.397786i
\(8\) 1.42896 2.44091i 0.505215 0.862993i
\(9\) 2.43474 1.75273i 0.811579 0.584243i
\(10\) 0.321101 1.79988i 0.101541 0.569173i
\(11\) −1.60004 + 0.923782i −0.482430 + 0.278531i −0.721428 0.692489i \(-0.756514\pi\)
0.238999 + 0.971020i \(0.423181\pi\)
\(12\) −1.85389 + 2.92627i −0.535173 + 0.844742i
\(13\) 2.25432i 0.625235i −0.949879 0.312617i \(-0.898794\pi\)
0.949879 0.312617i \(-0.101206\pi\)
\(14\) 3.73446 + 0.232013i 0.998076 + 0.0620081i
\(15\) −0.470342 + 2.18925i −0.121442 + 0.565261i
\(16\) 0.726254 3.93352i 0.181564 0.983379i
\(17\) −3.89580 + 2.24924i −0.944871 + 0.545522i −0.891484 0.453052i \(-0.850335\pi\)
−0.0533874 + 0.998574i \(0.517002\pi\)
\(18\) 2.39486 3.50209i 0.564473 0.825452i
\(19\) −2.80851 + 4.86448i −0.644317 + 1.11599i 0.340142 + 0.940374i \(0.389525\pi\)
−0.984459 + 0.175615i \(0.943809\pi\)
\(20\) −0.438742 2.54811i −0.0981056 0.569775i
\(21\) −4.56098 0.444404i −0.995287 0.0969769i
\(22\) −1.68353 + 1.99818i −0.358930 + 0.426013i
\(23\) −0.519880 + 0.900459i −0.108402 + 0.187759i −0.915123 0.403174i \(-0.867907\pi\)
0.806721 + 0.590933i \(0.201240\pi\)
\(24\) −1.05790 + 4.78339i −0.215943 + 0.976406i
\(25\) 1.66433 + 2.88270i 0.332866 + 0.576541i
\(26\) −1.08436 2.99801i −0.212661 0.587957i
\(27\) −3.08172 + 4.18366i −0.593078 + 0.805145i
\(28\) 5.07804 1.48778i 0.959660 0.281164i
\(29\) 1.32085 0.245277 0.122638 0.992451i \(-0.460865\pi\)
0.122638 + 0.992451i \(0.460865\pi\)
\(30\) 0.427556 + 3.13771i 0.0780608 + 0.572865i
\(31\) −3.69700 + 2.13446i −0.664000 + 0.383361i −0.793800 0.608179i \(-0.791900\pi\)
0.129799 + 0.991540i \(0.458567\pi\)
\(32\) −0.926243 5.58051i −0.163738 0.986504i
\(33\) 2.14646 2.37343i 0.373651 0.413162i
\(34\) −4.09909 + 4.86521i −0.702988 + 0.834376i
\(35\) 2.74740 2.03744i 0.464396 0.344390i
\(36\) 1.50034 5.80939i 0.250057 0.968231i
\(37\) −8.18394 4.72500i −1.34543 0.776786i −0.357834 0.933785i \(-0.616484\pi\)
−0.987599 + 0.157000i \(0.949818\pi\)
\(38\) −1.39513 + 7.82020i −0.226320 + 1.26860i
\(39\) 1.19846 + 3.71611i 0.191908 + 0.595055i
\(40\) −1.80916 3.17768i −0.286054 0.502435i
\(41\) 1.39634i 0.218072i −0.994038 0.109036i \(-0.965224\pi\)
0.994038 0.109036i \(-0.0347764\pi\)
\(42\) −6.27939 + 1.60289i −0.968931 + 0.247332i
\(43\) −6.02578 −0.918922 −0.459461 0.888198i \(-0.651957\pi\)
−0.459461 + 0.888198i \(0.651957\pi\)
\(44\) −1.27776 + 3.46717i −0.192630 + 0.522696i
\(45\) −0.388538 3.85890i −0.0579198 0.575251i
\(46\) −0.258251 + 1.44759i −0.0380770 + 0.213435i
\(47\) 5.90249 10.2234i 0.860966 1.49124i −0.0100312 0.999950i \(-0.503193\pi\)
0.870997 0.491288i \(-0.163474\pi\)
\(48\) 0.893991 + 6.87028i 0.129036 + 0.991640i
\(49\) 4.78472 + 5.10944i 0.683532 + 0.729921i
\(50\) 3.60001 + 3.03313i 0.509119 + 0.428949i
\(51\) 5.22625 5.77888i 0.731821 0.809206i
\(52\) −2.88418 3.46544i −0.399964 0.480570i
\(53\) 6.02901 + 10.4425i 0.828148 + 1.43439i 0.899489 + 0.436943i \(0.143939\pi\)
−0.0713414 + 0.997452i \(0.522728\pi\)
\(54\) −2.08596 + 7.04619i −0.283864 + 0.958865i
\(55\) 2.38854i 0.322070i
\(56\) 6.03762 4.42122i 0.806811 0.590810i
\(57\) 2.04356 9.51192i 0.270676 1.25988i
\(58\) 1.75660 0.635353i 0.230653 0.0834259i
\(59\) 9.57732 5.52947i 1.24686 0.719875i 0.276378 0.961049i \(-0.410866\pi\)
0.970482 + 0.241174i \(0.0775324\pi\)
\(60\) 2.07790 + 3.96717i 0.268255 + 0.512159i
\(61\) 7.65220 + 4.41800i 0.979764 + 0.565667i 0.902199 0.431320i \(-0.141952\pi\)
0.0775652 + 0.996987i \(0.475285\pi\)
\(62\) −3.88991 + 4.61693i −0.494019 + 0.586351i
\(63\) 7.75477 1.69218i 0.977010 0.213195i
\(64\) −3.91612 6.97596i −0.489515 0.871995i
\(65\) −2.52393 1.45719i −0.313055 0.180743i
\(66\) 1.71291 4.18890i 0.210845 0.515618i
\(67\) 3.05545 + 5.29219i 0.373283 + 0.646544i 0.990068 0.140587i \(-0.0448989\pi\)
−0.616786 + 0.787131i \(0.711566\pi\)
\(68\) −3.11112 + 8.44195i −0.377279 + 1.02374i
\(69\) 0.378281 1.76074i 0.0455397 0.211968i
\(70\) 2.67372 4.03113i 0.319571 0.481812i
\(71\) −14.0121 −1.66293 −0.831464 0.555578i \(-0.812497\pi\)
−0.831464 + 0.555578i \(0.812497\pi\)
\(72\) −0.799109 8.44757i −0.0941759 0.995556i
\(73\) −4.38664 7.59788i −0.513417 0.889264i −0.999879 0.0155626i \(-0.995046\pi\)
0.486462 0.873702i \(-0.338287\pi\)
\(74\) −13.1566 2.34715i −1.52942 0.272851i
\(75\) −4.27609 3.86717i −0.493760 0.446542i
\(76\) 1.90626 + 11.0711i 0.218663 + 1.26995i
\(77\) −4.85619 + 0.558456i −0.553414 + 0.0636420i
\(78\) 3.38135 + 4.36556i 0.382862 + 0.494303i
\(79\) 2.37061 + 1.36867i 0.266714 + 0.153987i 0.627393 0.778702i \(-0.284122\pi\)
−0.360679 + 0.932690i \(0.617455\pi\)
\(80\) −3.93451 3.35575i −0.439892 0.375184i
\(81\) 2.85588 8.53487i 0.317320 0.948318i
\(82\) −0.671663 1.85699i −0.0741728 0.205070i
\(83\) 4.74366i 0.520685i −0.965516 0.260342i \(-0.916165\pi\)
0.965516 0.260342i \(-0.0838354\pi\)
\(84\) −7.57992 + 5.15217i −0.827037 + 0.562148i
\(85\) 5.81566i 0.630797i
\(86\) −8.01366 + 2.89850i −0.864135 + 0.312553i
\(87\) −2.17736 + 0.702207i −0.233437 + 0.0752845i
\(88\) −0.0315236 + 5.22561i −0.00336043 + 0.557051i
\(89\) 8.31219 + 4.79904i 0.881090 + 0.508697i 0.871018 0.491252i \(-0.163461\pi\)
0.0100723 + 0.999949i \(0.496794\pi\)
\(90\) −2.37291 4.94504i −0.250126 0.521253i
\(91\) 2.37254 5.47217i 0.248710 0.573639i
\(92\) 0.352866 + 2.04936i 0.0367888 + 0.213661i
\(93\) 4.95955 5.48398i 0.514281 0.568662i
\(94\) 2.93207 16.4353i 0.302420 1.69517i
\(95\) 3.63085 + 6.28882i 0.372517 + 0.645219i
\(96\) 4.49363 + 8.70674i 0.458629 + 0.888628i
\(97\) −8.73466 −0.886871 −0.443435 0.896306i \(-0.646240\pi\)
−0.443435 + 0.896306i \(0.646240\pi\)
\(98\) 8.82091 + 4.49350i 0.891046 + 0.453912i
\(99\) −2.27653 + 5.05360i −0.228800 + 0.507906i
\(100\) 6.24663 + 2.30208i 0.624663 + 0.230208i
\(101\) −3.42033 5.92419i −0.340336 0.589479i 0.644159 0.764891i \(-0.277207\pi\)
−0.984495 + 0.175413i \(0.943874\pi\)
\(102\) 4.17063 10.1992i 0.412954 1.00987i
\(103\) −3.88733 2.24435i −0.383030 0.221143i 0.296106 0.955155i \(-0.404312\pi\)
−0.679136 + 0.734013i \(0.737645\pi\)
\(104\) −5.50259 3.22134i −0.539574 0.315878i
\(105\) −3.44578 + 4.81921i −0.336273 + 0.470306i
\(106\) 13.0410 + 10.9875i 1.26665 + 1.06720i
\(107\) −6.27888 3.62511i −0.607002 0.350453i 0.164789 0.986329i \(-0.447306\pi\)
−0.771791 + 0.635876i \(0.780639\pi\)
\(108\) 0.615218 + 10.3741i 0.0591994 + 0.998246i
\(109\) 10.6680 6.15916i 1.02181 0.589941i 0.107180 0.994240i \(-0.465818\pi\)
0.914627 + 0.404299i \(0.132484\pi\)
\(110\) 1.14893 + 3.17651i 0.109546 + 0.302868i
\(111\) 16.0027 + 3.43806i 1.51891 + 0.326326i
\(112\) 5.90273 8.78395i 0.557756 0.830005i
\(113\) 7.27566i 0.684437i 0.939620 + 0.342218i \(0.111178\pi\)
−0.939620 + 0.342218i \(0.888822\pi\)
\(114\) −1.85766 13.6329i −0.173986 1.27683i
\(115\) 0.672102 + 1.16412i 0.0626739 + 0.108554i
\(116\) 2.03048 1.68991i 0.188525 0.156904i
\(117\) −3.95120 5.48867i −0.365289 0.507427i
\(118\) 10.0771 11.9605i 0.927669 1.10105i
\(119\) −11.8240 + 1.35974i −1.08390 + 0.124647i
\(120\) 4.67166 + 4.27642i 0.426462 + 0.390382i
\(121\) −3.79325 + 6.57011i −0.344841 + 0.597282i
\(122\) 12.3018 + 2.19465i 1.11375 + 0.198694i
\(123\) 0.742339 + 2.30179i 0.0669344 + 0.207546i
\(124\) −2.95236 + 8.01115i −0.265130 + 0.719422i
\(125\) 10.7673 0.963058
\(126\) 9.49908 5.98060i 0.846245 0.532794i
\(127\) 21.7722i 1.93197i −0.258595 0.965986i \(-0.583260\pi\)
0.258595 0.965986i \(-0.416740\pi\)
\(128\) −8.56359 7.39358i −0.756921 0.653506i
\(129\) 9.93316 3.20349i 0.874566 0.282052i
\(130\) −4.05750 0.723863i −0.355866 0.0634870i
\(131\) 4.65916 + 2.68997i 0.407073 + 0.235024i 0.689531 0.724256i \(-0.257817\pi\)
−0.282458 + 0.959280i \(0.591150\pi\)
\(132\) 0.263062 6.39474i 0.0228966 0.556591i
\(133\) −11.9370 + 8.85234i −1.03507 + 0.767595i
\(134\) 6.60906 + 5.56835i 0.570936 + 0.481032i
\(135\) 2.69199 + 6.15462i 0.231690 + 0.529705i
\(136\) −0.0767544 + 12.7234i −0.00658163 + 1.09102i
\(137\) −11.3713 + 6.56523i −0.971517 + 0.560905i −0.899698 0.436512i \(-0.856214\pi\)
−0.0718185 + 0.997418i \(0.522880\pi\)
\(138\) −0.343870 2.52356i −0.0292722 0.214820i
\(139\) 12.9760 1.10061 0.550307 0.834963i \(-0.314511\pi\)
0.550307 + 0.834963i \(0.314511\pi\)
\(140\) 1.61673 6.64708i 0.136639 0.561781i
\(141\) −4.29484 + 19.9907i −0.361691 + 1.68352i
\(142\) −18.6346 + 6.74004i −1.56378 + 0.565612i
\(143\) 2.08250 + 3.60699i 0.174147 + 0.301632i
\(144\) −5.12615 10.8500i −0.427179 0.904167i
\(145\) 0.853802 1.47883i 0.0709044 0.122810i
\(146\) −9.48848 7.99434i −0.785272 0.661617i
\(147\) −10.6037 5.87893i −0.874578 0.484886i
\(148\) −18.6259 + 3.20707i −1.53104 + 0.263620i
\(149\) −3.42033 + 5.92419i −0.280205 + 0.485328i −0.971435 0.237306i \(-0.923736\pi\)
0.691230 + 0.722634i \(0.257069\pi\)
\(150\) −7.54693 3.08606i −0.616204 0.251976i
\(151\) 3.16245 1.82584i 0.257356 0.148585i −0.365772 0.930705i \(-0.619195\pi\)
0.623128 + 0.782120i \(0.285862\pi\)
\(152\) 7.86052 + 13.8065i 0.637573 + 1.11986i
\(153\) −5.54294 + 12.3046i −0.448120 + 0.994768i
\(154\) −6.18960 + 3.07860i −0.498772 + 0.248080i
\(155\) 5.51888i 0.443287i
\(156\) 6.59674 + 4.17926i 0.528162 + 0.334609i
\(157\) 2.34584 1.35437i 0.187219 0.108091i −0.403461 0.914997i \(-0.632193\pi\)
0.590680 + 0.806906i \(0.298860\pi\)
\(158\) 3.81101 + 0.679889i 0.303188 + 0.0540891i
\(159\) −15.4901 14.0088i −1.22844 1.11097i
\(160\) −6.84666 2.57023i −0.541276 0.203194i
\(161\) −2.20965 + 1.63865i −0.174145 + 0.129143i
\(162\) −0.307381 12.7242i −0.0241501 0.999708i
\(163\) 4.41842 7.65293i 0.346078 0.599424i −0.639471 0.768815i \(-0.720847\pi\)
0.985549 + 0.169391i \(0.0541801\pi\)
\(164\) −1.78648 2.14652i −0.139501 0.167615i
\(165\) −1.26982 3.93737i −0.0988554 0.306524i
\(166\) −2.28178 6.30858i −0.177100 0.489641i
\(167\) −11.8815 −0.919417 −0.459709 0.888070i \(-0.652046\pi\)
−0.459709 + 0.888070i \(0.652046\pi\)
\(168\) −7.60222 + 10.4979i −0.586524 + 0.809932i
\(169\) 7.91806 0.609081
\(170\) 2.79743 + 7.73422i 0.214553 + 0.593188i
\(171\) 1.68814 + 16.7663i 0.129095 + 1.28215i
\(172\) −9.26310 + 7.70940i −0.706305 + 0.587836i
\(173\) 3.12500 5.41265i 0.237589 0.411516i −0.722433 0.691441i \(-0.756976\pi\)
0.960022 + 0.279925i \(0.0903095\pi\)
\(174\) −2.55788 + 1.98121i −0.193913 + 0.150195i
\(175\) 1.00614 + 8.74915i 0.0760571 + 0.661373i
\(176\) 2.47168 + 6.96468i 0.186310 + 0.524982i
\(177\) −12.8480 + 14.2066i −0.965717 + 1.06783i
\(178\) 13.3628 + 2.38393i 1.00158 + 0.178683i
\(179\) −1.43978 + 0.831255i −0.107614 + 0.0621309i −0.552841 0.833287i \(-0.686456\pi\)
0.445227 + 0.895418i \(0.353123\pi\)
\(180\) −5.53437 5.43498i −0.412507 0.405100i
\(181\) 4.46877i 0.332161i 0.986112 + 0.166081i \(0.0531112\pi\)
−0.986112 + 0.166081i \(0.946889\pi\)
\(182\) 0.523031 8.41865i 0.0387696 0.624032i
\(183\) −14.9630 3.21468i −1.10609 0.237636i
\(184\) 1.45505 + 2.55571i 0.107268 + 0.188409i
\(185\) −10.5802 + 6.10850i −0.777874 + 0.449106i
\(186\) 3.95780 9.67875i 0.290200 0.709680i
\(187\) 4.15562 7.19775i 0.303889 0.526352i
\(188\) −4.00628 23.2676i −0.292188 1.69696i
\(189\) −11.8837 + 6.91215i −0.864412 + 0.502785i
\(190\) 7.85368 + 6.61698i 0.569766 + 0.480046i
\(191\) 11.2771 19.5325i 0.815982 1.41332i −0.0926380 0.995700i \(-0.529530\pi\)
0.908620 0.417623i \(-0.137137\pi\)
\(192\) 10.1641 + 9.41754i 0.733534 + 0.679653i
\(193\) −2.90298 5.02810i −0.208961 0.361931i 0.742427 0.669927i \(-0.233675\pi\)
−0.951387 + 0.307997i \(0.900341\pi\)
\(194\) −11.6162 + 4.20152i −0.833994 + 0.301651i
\(195\) 4.93525 + 1.06030i 0.353421 + 0.0759297i
\(196\) 13.8923 + 1.73289i 0.992310 + 0.123778i
\(197\) −3.15873 −0.225050 −0.112525 0.993649i \(-0.535894\pi\)
−0.112525 + 0.993649i \(0.535894\pi\)
\(198\) −0.596686 + 7.81581i −0.0424046 + 0.555445i
\(199\) −12.2352 + 7.06397i −0.867327 + 0.500751i −0.866459 0.499248i \(-0.833610\pi\)
−0.000867851 1.00000i \(0.500276\pi\)
\(200\) 9.41470 + 0.0567945i 0.665720 + 0.00401598i
\(201\) −7.85023 7.09951i −0.553713 0.500761i
\(202\) −7.39832 6.23332i −0.520544 0.438575i
\(203\) 3.20627 + 1.39013i 0.225036 + 0.0975677i
\(204\) 0.640509 15.5700i 0.0448446 1.09012i
\(205\) −1.56334 0.902597i −0.109189 0.0630401i
\(206\) −6.24932 1.11488i −0.435411 0.0776777i
\(207\) 0.312489 + 3.10359i 0.0217195 + 0.215714i
\(208\) −8.86739 1.63721i −0.614843 0.113520i
\(209\) 10.3778i 0.717848i
\(210\) −2.26441 + 8.06652i −0.156259 + 0.556643i
\(211\) 1.95410 0.134526 0.0672629 0.997735i \(-0.478573\pi\)
0.0672629 + 0.997735i \(0.478573\pi\)
\(212\) 22.6283 + 8.33924i 1.55412 + 0.572741i
\(213\) 23.0981 7.44926i 1.58266 0.510415i
\(214\) −10.0940 1.80078i −0.690011 0.123099i
\(215\) −3.89507 + 6.74646i −0.265642 + 0.460105i
\(216\) 5.80828 + 13.5005i 0.395203 + 0.918594i
\(217\) −11.2206 + 1.29035i −0.761702 + 0.0875948i
\(218\) 11.2246 13.3225i 0.760229 0.902315i
\(219\) 11.2704 + 10.1926i 0.761583 + 0.688753i
\(220\) 3.05590 + 3.67177i 0.206029 + 0.247551i
\(221\) 5.07051 + 8.78238i 0.341079 + 0.590766i
\(222\) 22.9357 3.12531i 1.53935 0.209757i
\(223\) 3.59985i 0.241064i −0.992709 0.120532i \(-0.961540\pi\)
0.992709 0.120532i \(-0.0384600\pi\)
\(224\) 3.62479 14.5210i 0.242192 0.970228i
\(225\) 9.10480 + 4.10151i 0.606987 + 0.273434i
\(226\) 3.49971 + 9.67588i 0.232797 + 0.643630i
\(227\) −5.05015 + 2.91571i −0.335190 + 0.193522i −0.658143 0.752893i \(-0.728658\pi\)
0.322953 + 0.946415i \(0.395325\pi\)
\(228\) −9.02813 17.2367i −0.597902 1.14153i
\(229\) 11.2803 + 6.51269i 0.745424 + 0.430371i 0.824038 0.566535i \(-0.191716\pi\)
−0.0786144 + 0.996905i \(0.525050\pi\)
\(230\) 1.45378 + 1.22486i 0.0958597 + 0.0807649i
\(231\) 7.70827 3.50229i 0.507167 0.230433i
\(232\) 1.88745 3.22409i 0.123917 0.211672i
\(233\) 13.6565 + 7.88458i 0.894667 + 0.516536i 0.875466 0.483279i \(-0.160554\pi\)
0.0192009 + 0.999816i \(0.493888\pi\)
\(234\) −7.89483 5.39876i −0.516101 0.352928i
\(235\) −7.63075 13.2169i −0.497775 0.862172i
\(236\) 7.64828 20.7534i 0.497861 1.35093i
\(237\) −4.63544 0.995889i −0.301104 0.0646899i
\(238\) −15.0706 + 7.49583i −0.976880 + 0.485882i
\(239\) 22.7458 1.47130 0.735651 0.677361i \(-0.236876\pi\)
0.735651 + 0.677361i \(0.236876\pi\)
\(240\) 8.26985 + 3.44005i 0.533816 + 0.222054i
\(241\) −6.82067 11.8137i −0.439358 0.760990i 0.558282 0.829651i \(-0.311461\pi\)
−0.997640 + 0.0686608i \(0.978127\pi\)
\(242\) −1.88430 + 10.5622i −0.121128 + 0.678962i
\(243\) −0.170365 + 15.5875i −0.0109289 + 0.999940i
\(244\) 17.4157 2.99870i 1.11493 0.191972i
\(245\) 8.81339 2.05422i 0.563067 0.131240i
\(246\) 2.09443 + 2.70407i 0.133536 + 0.172405i
\(247\) 10.9661 + 6.33127i 0.697755 + 0.402849i
\(248\) −0.0728375 + 12.0741i −0.00462519 + 0.766708i
\(249\) 2.52188 + 7.81966i 0.159818 + 0.495551i
\(250\) 14.3194 5.17926i 0.905639 0.327565i
\(251\) 5.33090i 0.336484i −0.985746 0.168242i \(-0.946191\pi\)
0.985746 0.168242i \(-0.0538089\pi\)
\(252\) 9.75602 12.5228i 0.614571 0.788861i
\(253\) 1.92102i 0.120774i
\(254\) −10.4728 28.9548i −0.657121 1.81678i
\(255\) −3.09179 9.58679i −0.193615 0.600348i
\(256\) −14.9451 5.71347i −0.934069 0.357092i
\(257\) −7.26678 4.19547i −0.453289 0.261707i 0.255929 0.966696i \(-0.417619\pi\)
−0.709218 + 0.704989i \(0.750952\pi\)
\(258\) 11.6691 9.03832i 0.726488 0.562701i
\(259\) −14.8931 20.0827i −0.925410 1.24788i
\(260\) −5.74425 + 0.989063i −0.356243 + 0.0613391i
\(261\) 3.21593 2.31510i 0.199061 0.143301i
\(262\) 7.49012 + 1.33625i 0.462741 + 0.0825536i
\(263\) −1.58410 2.74375i −0.0976800 0.169187i 0.813044 0.582202i \(-0.197809\pi\)
−0.910724 + 0.413016i \(0.864475\pi\)
\(264\) −2.72613 8.63088i −0.167782 0.531194i
\(265\) 15.5886 0.957603
\(266\) −11.6169 + 17.5146i −0.712277 + 1.07389i
\(267\) −16.2535 3.49194i −0.994698 0.213703i
\(268\) 11.4678 + 4.22625i 0.700509 + 0.258160i
\(269\) −7.81827 13.5416i −0.476689 0.825649i 0.522955 0.852361i \(-0.324830\pi\)
−0.999643 + 0.0267117i \(0.991496\pi\)
\(270\) 6.54054 + 6.89011i 0.398045 + 0.419319i
\(271\) 12.4371 + 7.18058i 0.755502 + 0.436189i 0.827678 0.561203i \(-0.189661\pi\)
−0.0721766 + 0.997392i \(0.522995\pi\)
\(272\) 6.01809 + 16.9577i 0.364901 + 1.02821i
\(273\) −1.00183 + 10.2819i −0.0606333 + 0.622288i
\(274\) −11.9647 + 14.2009i −0.722813 + 0.857905i
\(275\) −5.32598 3.07496i −0.321169 0.185427i
\(276\) −1.67119 3.19067i −0.100594 0.192056i
\(277\) −3.23202 + 1.86601i −0.194193 + 0.112117i −0.593944 0.804506i \(-0.702430\pi\)
0.399751 + 0.916624i \(0.369097\pi\)
\(278\) 17.2568 6.24169i 1.03499 0.374351i
\(279\) −5.26008 + 11.6767i −0.314913 + 0.699065i
\(280\) −1.04727 9.61760i −0.0625862 0.574762i
\(281\) 18.8375i 1.12375i −0.827223 0.561874i \(-0.810080\pi\)
0.827223 0.561874i \(-0.189920\pi\)
\(282\) 3.90415 + 28.6514i 0.232489 + 1.70617i
\(283\) 10.7726 + 18.6586i 0.640362 + 1.10914i 0.985352 + 0.170534i \(0.0545492\pi\)
−0.344989 + 0.938607i \(0.612117\pi\)
\(284\) −21.5400 + 17.9271i −1.27817 + 1.06378i
\(285\) −9.32859 8.43649i −0.552578 0.499735i
\(286\) 4.50453 + 3.79521i 0.266358 + 0.224415i
\(287\) 1.46957 3.38951i 0.0867460 0.200076i
\(288\) −12.0363 11.9636i −0.709244 0.704963i
\(289\) 1.61820 2.80280i 0.0951880 0.164870i
\(290\) 0.424127 2.37738i 0.0249056 0.139605i
\(291\) 14.3986 4.64362i 0.844061 0.272214i
\(292\) −16.4641 6.06754i −0.963488 0.355076i
\(293\) −4.13814 −0.241753 −0.120876 0.992668i \(-0.538570\pi\)
−0.120876 + 0.992668i \(0.538570\pi\)
\(294\) −16.9297 2.71781i −0.987358 0.158506i
\(295\) 14.2970i 0.832405i
\(296\) −23.2279 + 13.2244i −1.35009 + 0.768655i
\(297\) 1.06608 9.54085i 0.0618604 0.553616i
\(298\) −1.69905 + 9.52379i −0.0984236 + 0.551698i
\(299\) 2.02992 + 1.17197i 0.117393 + 0.0677770i
\(300\) −11.5211 0.473945i −0.665169 0.0273632i
\(301\) −14.6271 6.34179i −0.843091 0.365535i
\(302\) 3.32747 3.94937i 0.191474 0.227260i
\(303\) 8.78771 + 7.94734i 0.504841 + 0.456563i
\(304\) 17.0948 + 14.5802i 0.980456 + 0.836230i
\(305\) 9.89279 5.71160i 0.566459 0.327046i
\(306\) −1.45282 + 19.0301i −0.0830523 + 1.08788i
\(307\) −4.63154 −0.264336 −0.132168 0.991227i \(-0.542194\pi\)
−0.132168 + 0.991227i \(0.542194\pi\)
\(308\) −6.75067 + 7.07151i −0.384655 + 0.402937i
\(309\) 7.60122 + 1.63306i 0.432418 + 0.0929017i
\(310\) 2.65467 + 7.33954i 0.150775 + 0.416858i
\(311\) 7.04878 + 12.2088i 0.399700 + 0.692300i 0.993689 0.112173i \(-0.0357811\pi\)
−0.593989 + 0.804473i \(0.702448\pi\)
\(312\) 10.7833 + 2.38484i 0.610483 + 0.135015i
\(313\) 6.95418 12.0450i 0.393074 0.680824i −0.599780 0.800165i \(-0.704745\pi\)
0.992853 + 0.119342i \(0.0380784\pi\)
\(314\) 2.46825 2.92956i 0.139292 0.165325i
\(315\) 3.11813 9.77608i 0.175687 0.550819i
\(316\) 5.39529 0.928978i 0.303509 0.0522591i
\(317\) −8.34364 + 14.4516i −0.468625 + 0.811683i −0.999357 0.0358569i \(-0.988584\pi\)
0.530731 + 0.847540i \(0.321917\pi\)
\(318\) −27.3386 11.1792i −1.53307 0.626899i
\(319\) −2.11342 + 1.22018i −0.118329 + 0.0683171i
\(320\) −10.3417 0.124777i −0.578117 0.00697527i
\(321\) 12.2776 + 2.63775i 0.685269 + 0.147225i
\(322\) −2.15039 + 3.24211i −0.119836 + 0.180675i
\(323\) 25.2681i 1.40595i
\(324\) −6.52934 16.7740i −0.362741 0.931890i
\(325\) 6.49853 3.75193i 0.360473 0.208119i
\(326\) 2.19486 12.3029i 0.121562 0.681397i
\(327\) −14.3112 + 15.8245i −0.791410 + 0.875095i
\(328\) −3.40835 1.99532i −0.188195 0.110173i
\(329\) 25.0874 18.6045i 1.38311 1.02570i
\(330\) −3.58267 4.62549i −0.197219 0.254625i
\(331\) −4.82148 + 8.35105i −0.265012 + 0.459015i −0.967567 0.252615i \(-0.918709\pi\)
0.702554 + 0.711630i \(0.252043\pi\)
\(332\) −6.06906 7.29218i −0.333083 0.400210i
\(333\) −28.2074 + 2.84010i −1.54576 + 0.155636i
\(334\) −15.8011 + 5.71519i −0.864600 + 0.312721i
\(335\) 7.90019 0.431633
\(336\) −5.06050 + 17.6179i −0.276073 + 0.961137i
\(337\) 29.4886 1.60635 0.803173 0.595746i \(-0.203144\pi\)
0.803173 + 0.595746i \(0.203144\pi\)
\(338\) 10.5302 3.80872i 0.572767 0.207167i
\(339\) −3.86797 11.9935i −0.210079 0.651399i
\(340\) 7.44057 + 8.94010i 0.403522 + 0.484845i
\(341\) 3.94356 6.83044i 0.213556 0.369889i
\(342\) 10.3099 + 21.4854i 0.557496 + 1.16180i
\(343\) 6.23712 + 17.4384i 0.336773 + 0.941586i
\(344\) −8.61062 + 14.7084i −0.464253 + 0.793024i
\(345\) −1.72680 1.56167i −0.0929680 0.0840774i
\(346\) 1.55235 8.70144i 0.0834547 0.467792i
\(347\) −10.8911 + 6.28800i −0.584667 + 0.337558i −0.762986 0.646415i \(-0.776267\pi\)
0.178319 + 0.983973i \(0.442934\pi\)
\(348\) −2.44873 + 3.86518i −0.131265 + 0.207195i
\(349\) 34.5012i 1.84681i −0.383830 0.923404i \(-0.625395\pi\)
0.383830 0.923404i \(-0.374605\pi\)
\(350\) 5.54654 + 11.1515i 0.296475 + 0.596072i
\(351\) 9.43129 + 6.94718i 0.503405 + 0.370813i
\(352\) 6.63720 + 8.07338i 0.353764 + 0.430312i
\(353\) 9.10737 5.25815i 0.484737 0.279863i −0.237652 0.971350i \(-0.576378\pi\)
0.722388 + 0.691488i \(0.243044\pi\)
\(354\) −10.2529 + 25.0734i −0.544937 + 1.33264i
\(355\) −9.05743 + 15.6879i −0.480719 + 0.832629i
\(356\) 18.9178 3.25733i 1.00264 0.172638i
\(357\) 18.7682 8.52744i 0.993321 0.451320i
\(358\) −1.51491 + 1.79804i −0.0800652 + 0.0950293i
\(359\) −8.02903 + 13.9067i −0.423756 + 0.733967i −0.996303 0.0859047i \(-0.972622\pi\)
0.572547 + 0.819872i \(0.305955\pi\)
\(360\) −9.97445 4.56584i −0.525699 0.240641i
\(361\) −6.27547 10.8694i −0.330288 0.572075i
\(362\) 2.14955 + 5.94300i 0.112978 + 0.312357i
\(363\) 2.76009 12.8471i 0.144867 0.674296i
\(364\) −3.35393 11.4475i −0.175794 0.600013i
\(365\) −11.3421 −0.593673
\(366\) −21.4455 + 2.92225i −1.12097 + 0.152748i
\(367\) −20.8250 + 12.0233i −1.08706 + 0.627613i −0.932791 0.360417i \(-0.882634\pi\)
−0.154266 + 0.988029i \(0.549301\pi\)
\(368\) 3.16440 + 2.69892i 0.164956 + 0.140691i
\(369\) −2.44741 3.39972i −0.127407 0.176983i
\(370\) −11.1323 + 13.2129i −0.578742 + 0.686907i
\(371\) 3.64473 + 31.6936i 0.189225 + 1.64545i
\(372\) 0.607823 14.7755i 0.0315142 0.766074i
\(373\) −12.5120 7.22381i −0.647847 0.374035i 0.139784 0.990182i \(-0.455359\pi\)
−0.787631 + 0.616147i \(0.788693\pi\)
\(374\) 2.06431 11.5712i 0.106743 0.598332i
\(375\) −17.7493 + 5.72424i −0.916571 + 0.295599i
\(376\) −16.5200 29.0163i −0.851955 1.49640i
\(377\) 2.97762i 0.153355i
\(378\) −12.4792 + 14.9087i −0.641862 + 0.766820i
\(379\) −29.8048 −1.53097 −0.765485 0.643453i \(-0.777501\pi\)
−0.765485 + 0.643453i \(0.777501\pi\)
\(380\) 13.6274 + 5.02214i 0.699073 + 0.257630i
\(381\) 11.5748 + 35.8903i 0.592994 + 1.83871i
\(382\) 5.60191 31.4007i 0.286619 1.60660i
\(383\) −5.62806 + 9.74809i −0.287581 + 0.498104i −0.973232 0.229826i \(-0.926184\pi\)
0.685651 + 0.727930i \(0.259518\pi\)
\(384\) 18.0472 + 7.63523i 0.920970 + 0.389634i
\(385\) −2.51380 + 5.79798i −0.128115 + 0.295492i
\(386\) −6.27926 5.29048i −0.319606 0.269278i
\(387\) −14.6712 + 10.5616i −0.745778 + 0.536874i
\(388\) −13.4273 + 11.1752i −0.681669 + 0.567333i
\(389\) −13.4807 23.3492i −0.683498 1.18385i −0.973906 0.226950i \(-0.927124\pi\)
0.290408 0.956903i \(-0.406209\pi\)
\(390\) 7.07339 0.963847i 0.358175 0.0488063i
\(391\) 4.67735i 0.236544i
\(392\) 19.3089 4.37788i 0.975247 0.221117i
\(393\) −9.11045 1.95731i −0.459561 0.0987331i
\(394\) −4.20078 + 1.51940i −0.211632 + 0.0765463i
\(395\) 3.06473 1.76942i 0.154203 0.0890293i
\(396\) 2.96600 + 10.6812i 0.149047 + 0.536752i
\(397\) 6.75185 + 3.89818i 0.338866 + 0.195644i 0.659770 0.751467i \(-0.270654\pi\)
−0.320905 + 0.947111i \(0.603987\pi\)
\(398\) −12.8736 + 15.2796i −0.645295 + 0.765900i
\(399\) 14.9713 20.9387i 0.749505 1.04825i
\(400\) 12.5479 4.45309i 0.627395 0.222655i
\(401\) 2.98430 + 1.72299i 0.149029 + 0.0860420i 0.572660 0.819793i \(-0.305911\pi\)
−0.423631 + 0.905835i \(0.639245\pi\)
\(402\) −13.8550 5.66552i −0.691023 0.282571i
\(403\) 4.81175 + 8.33420i 0.239691 + 0.415156i
\(404\) −12.8373 4.73095i −0.638681 0.235374i
\(405\) −7.70959 8.71440i −0.383093 0.433022i
\(406\) 4.93267 + 0.306456i 0.244805 + 0.0152091i
\(407\) 17.4595 0.865435
\(408\) −6.63764 21.0146i −0.328612 1.04038i
\(409\) 9.79039 + 16.9575i 0.484104 + 0.838492i 0.999833 0.0182590i \(-0.00581236\pi\)
−0.515729 + 0.856752i \(0.672479\pi\)
\(410\) −2.51325 0.448366i −0.124121 0.0221432i
\(411\) 15.2547 16.8678i 0.752459 0.832025i
\(412\) −8.84722 + 1.52334i −0.435871 + 0.0750497i
\(413\) 29.0676 3.34274i 1.43032 0.164485i
\(414\) 1.90845 + 3.97714i 0.0937954 + 0.195466i
\(415\) −5.31101 3.06631i −0.260707 0.150519i
\(416\) −12.5802 + 2.08805i −0.616797 + 0.102375i
\(417\) −21.3903 + 6.89847i −1.04749 + 0.337819i
\(418\) −4.99190 13.8014i −0.244162 0.675049i
\(419\) 27.6189i 1.34927i 0.738150 + 0.674637i \(0.235700\pi\)
−0.738150 + 0.674637i \(0.764300\pi\)
\(420\) 0.868701 + 11.8168i 0.0423883 + 0.576603i
\(421\) 9.36226i 0.456289i 0.973627 + 0.228144i \(0.0732658\pi\)
−0.973627 + 0.228144i \(0.926734\pi\)
\(422\) 2.59875 0.939954i 0.126505 0.0457563i
\(423\) −3.54786 35.2368i −0.172503 1.71327i
\(424\) 34.1046 + 0.205737i 1.65627 + 0.00999147i
\(425\) −12.9678 7.48697i −0.629031 0.363171i
\(426\) 27.1349 21.0173i 1.31469 1.01829i
\(427\) 13.9254 + 18.7779i 0.673897 + 0.908724i
\(428\) −14.2902 + 2.46053i −0.690741 + 0.118934i
\(429\) −5.35047 4.83880i −0.258323 0.233620i
\(430\) −1.93488 + 10.8457i −0.0933083 + 0.523025i
\(431\) −4.22951 7.32573i −0.203729 0.352868i 0.745998 0.665948i \(-0.231973\pi\)
−0.949727 + 0.313080i \(0.898639\pi\)
\(432\) 14.2184 + 15.1604i 0.684082 + 0.729405i
\(433\) −10.9191 −0.524737 −0.262369 0.964968i \(-0.584504\pi\)
−0.262369 + 0.964968i \(0.584504\pi\)
\(434\) −14.3015 + 7.11331i −0.686494 + 0.341450i
\(435\) −0.621254 + 2.89168i −0.0297868 + 0.138645i
\(436\) 8.51927 23.1168i 0.407999 1.10709i
\(437\) −2.92018 5.05790i −0.139691 0.241952i
\(438\) 19.8913 + 8.13386i 0.950441 + 0.388651i
\(439\) 20.2600 + 11.6971i 0.966959 + 0.558274i 0.898308 0.439367i \(-0.144797\pi\)
0.0686510 + 0.997641i \(0.478131\pi\)
\(440\) 5.83021 + 3.41313i 0.277944 + 0.162715i
\(441\) 20.6050 + 4.05383i 0.981191 + 0.193040i
\(442\) 10.9677 + 9.24065i 0.521681 + 0.439533i
\(443\) −5.31199 3.06688i −0.252380 0.145712i 0.368473 0.929638i \(-0.379881\pi\)
−0.620854 + 0.783926i \(0.713214\pi\)
\(444\) 28.9988 15.1888i 1.37622 0.720829i
\(445\) 10.7460 6.20422i 0.509410 0.294108i
\(446\) −1.73159 4.78743i −0.0819931 0.226691i
\(447\) 2.48874 11.5840i 0.117713 0.547907i
\(448\) −2.16426 21.0551i −0.102252 0.994759i
\(449\) 35.8658i 1.69261i 0.532696 + 0.846307i \(0.321179\pi\)
−0.532696 + 0.846307i \(0.678821\pi\)
\(450\) 14.0813 + 1.07502i 0.663800 + 0.0506768i
\(451\) 1.28992 + 2.23420i 0.0607397 + 0.105204i
\(452\) 9.30851 + 11.1845i 0.437835 + 0.526074i
\(453\) −4.24244 + 4.69105i −0.199327 + 0.220405i
\(454\) −5.31368 + 6.30679i −0.249383 + 0.295992i
\(455\) −4.59303 6.19352i −0.215324 0.290357i
\(456\) −20.2976 18.5804i −0.950522 0.870105i
\(457\) −1.51987 + 2.63249i −0.0710964 + 0.123143i −0.899382 0.437163i \(-0.855983\pi\)
0.828286 + 0.560306i \(0.189316\pi\)
\(458\) 18.1343 + 3.23519i 0.847362 + 0.151170i
\(459\) 2.59572 23.2303i 0.121158 1.08430i
\(460\) 2.52256 + 0.929643i 0.117615 + 0.0433448i
\(461\) −30.7564 −1.43247 −0.716233 0.697861i \(-0.754135\pi\)
−0.716233 + 0.697861i \(0.754135\pi\)
\(462\) 8.56654 8.36548i 0.398551 0.389197i
\(463\) 9.54146i 0.443429i −0.975112 0.221715i \(-0.928835\pi\)
0.975112 0.221715i \(-0.0711653\pi\)
\(464\) 0.959276 5.19560i 0.0445333 0.241200i
\(465\) −2.93401 9.09756i −0.136061 0.421889i
\(466\) 21.9543 + 3.91668i 1.01702 + 0.181437i
\(467\) −4.36437 2.51977i −0.201959 0.116601i 0.395610 0.918419i \(-0.370533\pi\)
−0.597569 + 0.801818i \(0.703867\pi\)
\(468\) −13.0962 3.38225i −0.605372 0.156344i
\(469\) 1.84712 + 16.0621i 0.0852920 + 0.741677i
\(470\) −16.5056 13.9065i −0.761348 0.641460i
\(471\) −3.14697 + 3.47973i −0.145004 + 0.160338i
\(472\) 0.188690 31.2788i 0.00868518 1.43972i
\(473\) 9.64147 5.56650i 0.443315 0.255948i
\(474\) −6.64369 + 0.905295i −0.305155 + 0.0415816i
\(475\) −18.6972 −0.857884
\(476\) −16.4367 + 17.2179i −0.753374 + 0.789179i
\(477\) 32.9820 + 14.8576i 1.51014 + 0.680285i
\(478\) 30.2495 10.9411i 1.38358 0.500434i
\(479\) 13.6307 + 23.6091i 0.622804 + 1.07873i 0.988961 + 0.148175i \(0.0473399\pi\)
−0.366157 + 0.930553i \(0.619327\pi\)
\(480\) 12.6528 + 0.596976i 0.577517 + 0.0272481i
\(481\) −10.6516 + 18.4492i −0.485673 + 0.841211i
\(482\) −14.7534 12.4302i −0.671998 0.566180i
\(483\) 2.77133 3.87593i 0.126100 0.176361i
\(484\) 2.57465 + 14.9530i 0.117030 + 0.679681i
\(485\) −5.64610 + 9.77933i −0.256376 + 0.444057i
\(486\) 7.27129 + 20.8117i 0.329832 + 0.944040i
\(487\) 0.905513 0.522798i 0.0410327 0.0236902i −0.479343 0.877627i \(-0.659125\pi\)
0.520376 + 0.853937i \(0.325792\pi\)
\(488\) 21.7187 12.3652i 0.983159 0.559746i
\(489\) −3.21499 + 14.9644i −0.145387 + 0.676714i
\(490\) 10.7328 6.97129i 0.484857 0.314931i
\(491\) 29.3101i 1.32275i 0.750057 + 0.661373i \(0.230026\pi\)
−0.750057 + 0.661373i \(0.769974\pi\)
\(492\) 4.08608 + 2.58867i 0.184215 + 0.116706i
\(493\) −5.14579 + 2.97092i −0.231755 + 0.133804i
\(494\) 17.6292 + 3.14507i 0.793175 + 0.141503i
\(495\) 4.18646 + 5.81546i 0.188167 + 0.261385i
\(496\) 5.71098 + 16.0924i 0.256431 + 0.722569i
\(497\) −34.0132 14.7469i −1.52570 0.661490i
\(498\) 7.11522 + 9.18627i 0.318841 + 0.411647i
\(499\) 14.3749 24.8981i 0.643510 1.11459i −0.341133 0.940015i \(-0.610811\pi\)
0.984643 0.174578i \(-0.0558560\pi\)
\(500\) 16.5520 13.7757i 0.740229 0.616070i
\(501\) 19.5860 6.31657i 0.875037 0.282204i
\(502\) −2.56425 7.08955i −0.114448 0.316422i
\(503\) −19.8016 −0.882910 −0.441455 0.897283i \(-0.645538\pi\)
−0.441455 + 0.897283i \(0.645538\pi\)
\(504\) 6.95082 21.3468i 0.309614 0.950862i
\(505\) −8.84363 −0.393536
\(506\) −0.924044 2.55476i −0.0410788 0.113573i
\(507\) −13.0525 + 4.20949i −0.579681 + 0.186950i
\(508\) −27.8554 33.4693i −1.23589 1.48496i
\(509\) −14.1795 + 24.5596i −0.628494 + 1.08858i 0.359360 + 0.933199i \(0.382995\pi\)
−0.987854 + 0.155385i \(0.950338\pi\)
\(510\) −8.72315 11.2622i −0.386268 0.498700i
\(511\) −2.65186 23.0599i −0.117312 1.02011i
\(512\) −22.6237 0.409474i −0.999836 0.0180964i
\(513\) −11.6963 26.7408i −0.516403 1.18064i
\(514\) −11.6821 2.08411i −0.515277 0.0919260i
\(515\) −5.02555 + 2.90151i −0.221452 + 0.127856i
\(516\) 11.1712 17.6331i 0.491783 0.776253i
\(517\) 21.8104i 0.959222i
\(518\) −29.4663 19.5441i −1.29468 0.858719i
\(519\) −2.27385 + 10.5838i −0.0998108 + 0.464577i
\(520\) −7.16349 + 4.07843i −0.314140 + 0.178851i
\(521\) −27.4943 + 15.8738i −1.20455 + 0.695445i −0.961563 0.274585i \(-0.911460\pi\)
−0.242984 + 0.970030i \(0.578126\pi\)
\(522\) 3.16326 4.62576i 0.138452 0.202464i
\(523\) 3.11470 5.39482i 0.136196 0.235899i −0.789858 0.613290i \(-0.789846\pi\)
0.926054 + 0.377392i \(0.123179\pi\)
\(524\) 10.6038 1.82580i 0.463231 0.0797606i
\(525\) −6.30989 13.8876i −0.275386 0.606104i
\(526\) −3.42648 2.88692i −0.149402 0.125876i
\(527\) 9.60185 16.6309i 0.418263 0.724453i
\(528\) −7.77706 10.1669i −0.338453 0.442456i
\(529\) 10.9594 + 18.9823i 0.476498 + 0.825318i
\(530\) 20.7313 7.49839i 0.900509 0.325709i
\(531\) 13.6266 30.2492i 0.591344 1.31270i
\(532\) −7.02445 + 28.8805i −0.304548 + 1.25213i
\(533\) −3.14780 −0.136346
\(534\) −23.2951 + 3.17428i −1.00808 + 0.137365i
\(535\) −8.11735 + 4.68656i −0.350944 + 0.202618i
\(536\) 17.2839 + 0.104266i 0.746551 + 0.00450359i
\(537\) 1.93147 2.13571i 0.0833491 0.0921626i
\(538\) −16.9112 14.2483i −0.729096 0.614286i
\(539\) −12.3758 3.75526i −0.533061 0.161751i
\(540\) 12.0125 + 6.01702i 0.516936 + 0.258931i
\(541\) 1.99979 + 1.15458i 0.0859776 + 0.0496392i 0.542372 0.840138i \(-0.317526\pi\)
−0.456395 + 0.889777i \(0.650860\pi\)
\(542\) 19.9941 + 3.56696i 0.858819 + 0.153214i
\(543\) −2.37574 7.36652i −0.101953 0.316128i
\(544\) 16.1604 + 19.6572i 0.692871 + 0.842796i
\(545\) 15.9252i 0.682159i
\(546\) 3.61343 + 14.1557i 0.154640 + 0.605809i
\(547\) 32.5136 1.39018 0.695090 0.718922i \(-0.255364\pi\)
0.695090 + 0.718922i \(0.255364\pi\)
\(548\) −9.08093 + 24.6409i −0.387918 + 1.05261i
\(549\) 26.3747 2.65557i 1.12564 0.113337i
\(550\) −8.56211 1.52749i −0.365089 0.0651323i
\(551\) −3.70963 + 6.42528i −0.158036 + 0.273726i
\(552\) −3.75726 3.43939i −0.159920 0.146390i
\(553\) 4.31401 + 5.81727i 0.183450 + 0.247375i
\(554\) −3.40067 + 4.03624i −0.144480 + 0.171484i
\(555\) 14.1934 15.6943i 0.602478 0.666186i
\(556\) 19.9474 16.6016i 0.845957 0.704064i
\(557\) −16.5711 28.7020i −0.702140 1.21614i −0.967714 0.252052i \(-0.918895\pi\)
0.265574 0.964091i \(-0.414439\pi\)
\(558\) −1.37868 + 18.0590i −0.0583643 + 0.764497i
\(559\) 13.5840i 0.574542i
\(560\) −6.01898 12.2867i −0.254348 0.519206i
\(561\) −3.02376 + 14.0743i −0.127663 + 0.594219i
\(562\) −9.06112 25.0519i −0.382220 1.05675i
\(563\) 13.6362 7.87286i 0.574697 0.331801i −0.184326 0.982865i \(-0.559010\pi\)
0.759023 + 0.651064i \(0.225677\pi\)
\(564\) 18.9739 + 36.2254i 0.798945 + 1.52536i
\(565\) 8.14583 + 4.70300i 0.342698 + 0.197857i
\(566\) 23.3015 + 19.6323i 0.979435 + 0.825205i
\(567\) 15.9149 17.7120i 0.668363 0.743835i
\(568\) −20.0228 + 34.2023i −0.840137 + 1.43510i
\(569\) 20.1971 + 11.6608i 0.846706 + 0.488846i 0.859538 0.511072i \(-0.170751\pi\)
−0.0128319 + 0.999918i \(0.504085\pi\)
\(570\) −16.4641 6.73246i −0.689607 0.281992i
\(571\) 12.0030 + 20.7898i 0.502311 + 0.870027i 0.999996 + 0.00267009i \(0.000849917\pi\)
−0.497686 + 0.867357i \(0.665817\pi\)
\(572\) 7.81611 + 2.88048i 0.326808 + 0.120439i
\(573\) −8.20558 + 38.1935i −0.342793 + 1.59556i
\(574\) 0.323969 5.21458i 0.0135222 0.217652i
\(575\) −3.46101 −0.144334
\(576\) −21.7617 10.1207i −0.906737 0.421697i
\(577\) −2.69246 4.66349i −0.112089 0.194143i 0.804523 0.593921i \(-0.202421\pi\)
−0.916612 + 0.399777i \(0.869087\pi\)
\(578\) 0.803841 4.50581i 0.0334354 0.187417i
\(579\) 7.45849 + 6.74524i 0.309964 + 0.280322i
\(580\) −0.579514 3.36568i −0.0240630 0.139752i
\(581\) 4.99244 11.5149i 0.207121 0.477717i
\(582\) 16.9150 13.1015i 0.701149 0.543074i
\(583\) −19.2933 11.1390i −0.799046 0.461329i
\(584\) −24.8141 0.149692i −1.02682 0.00619430i
\(585\) −8.69918 + 0.875888i −0.359667 + 0.0362135i
\(586\) −5.50330 + 1.99051i −0.227339 + 0.0822274i
\(587\) 20.8871i 0.862104i 0.902327 + 0.431052i \(0.141857\pi\)
−0.902327 + 0.431052i \(0.858143\pi\)
\(588\) −23.8220 + 4.52904i −0.982403 + 0.186774i
\(589\) 23.9786i 0.988023i
\(590\) −6.87710 19.0135i −0.283126 0.782775i
\(591\) 5.20699 1.67928i 0.214187 0.0690763i
\(592\) −24.5295 + 28.7601i −1.00816 + 1.18203i
\(593\) 31.7953 + 18.3570i 1.30567 + 0.753832i 0.981371 0.192122i \(-0.0615368\pi\)
0.324303 + 0.945953i \(0.394870\pi\)
\(594\) −3.17152 13.2011i −0.130129 0.541649i
\(595\) −6.12065 + 14.1170i −0.250922 + 0.578742i
\(596\) 2.32153 + 13.4829i 0.0950937 + 0.552282i
\(597\) 16.4135 18.1491i 0.671761 0.742795i
\(598\) 3.26332 + 0.582180i 0.133447 + 0.0238071i
\(599\) −12.0639 20.8953i −0.492918 0.853760i 0.507048 0.861918i \(-0.330737\pi\)
−0.999967 + 0.00815783i \(0.997403\pi\)
\(600\) −15.5498 + 4.91153i −0.634818 + 0.200512i
\(601\) −30.7421 −1.25399 −0.626997 0.779021i \(-0.715716\pi\)
−0.626997 + 0.779021i \(0.715716\pi\)
\(602\) −22.5030 1.39806i −0.917154 0.0569806i
\(603\) 16.7150 + 7.52972i 0.680687 + 0.306634i
\(604\) 2.52548 6.85281i 0.102760 0.278837i
\(605\) 4.90393 + 8.49385i 0.199373 + 0.345324i
\(606\) 15.5095 + 6.34210i 0.630032 + 0.257630i
\(607\) −3.75552 2.16825i −0.152432 0.0880066i 0.421844 0.906668i \(-0.361383\pi\)
−0.574276 + 0.818662i \(0.694716\pi\)
\(608\) 29.7477 + 11.1672i 1.20643 + 0.452891i
\(609\) −6.02439 0.586993i −0.244120 0.0237861i
\(610\) 10.4090 12.3544i 0.421448 0.500216i
\(611\) −23.0468 13.3061i −0.932373 0.538306i
\(612\) 7.22168 + 26.0069i 0.291919 + 1.05127i
\(613\) −26.2945 + 15.1812i −1.06203 + 0.613161i −0.925992 0.377543i \(-0.876769\pi\)
−0.136034 + 0.990704i \(0.543436\pi\)
\(614\) −6.15947 + 2.22785i −0.248576 + 0.0899086i
\(615\) 3.05693 + 0.656759i 0.123268 + 0.0264831i
\(616\) −5.57618 + 12.6516i −0.224671 + 0.509746i
\(617\) 11.5709i 0.465827i −0.972497 0.232913i \(-0.925174\pi\)
0.972497 0.232913i \(-0.0748259\pi\)
\(618\) 10.8944 1.48451i 0.438235 0.0597156i
\(619\) −8.62076 14.9316i −0.346497 0.600151i 0.639127 0.769101i \(-0.279296\pi\)
−0.985625 + 0.168950i \(0.945962\pi\)
\(620\) 7.06087 + 8.48388i 0.283571 + 0.340721i
\(621\) −2.16508 4.94996i −0.0868818 0.198635i
\(622\) 15.2468 + 12.8459i 0.611341 + 0.515074i
\(623\) 15.1264 + 20.3974i 0.606028 + 0.817204i
\(624\) 15.4878 2.01534i 0.620008 0.0806781i
\(625\) −1.36164 + 2.35843i −0.0544656 + 0.0943372i
\(626\) 3.45450 19.3637i 0.138070 0.773928i
\(627\) 5.51717 + 17.1072i 0.220334 + 0.683197i
\(628\) 1.87335 5.08329i 0.0747548 0.202845i
\(629\) 42.5107 1.69501
\(630\) −0.555664 14.5010i −0.0221382 0.577735i
\(631\) 4.91146i 0.195522i −0.995210 0.0977611i \(-0.968832\pi\)
0.995210 0.0977611i \(-0.0311681\pi\)
\(632\) 6.72832 3.83067i 0.267638 0.152376i
\(633\) −3.22123 + 1.03886i −0.128032 + 0.0412910i
\(634\) −4.14471 + 23.2326i −0.164608 + 0.922683i
\(635\) −24.3762 14.0736i −0.967339 0.558493i
\(636\) −41.7349 1.71686i −1.65490 0.0680779i
\(637\) 11.5183 10.7863i 0.456372 0.427368i
\(638\) −2.22370 + 2.63930i −0.0880370 + 0.104491i
\(639\) −34.1157 + 24.5594i −1.34960 + 0.971554i
\(640\) −13.8134 + 4.80857i −0.546021 + 0.190075i
\(641\) 34.7916 20.0870i 1.37419 0.793387i 0.382735 0.923858i \(-0.374982\pi\)
0.991452 + 0.130471i \(0.0416488\pi\)
\(642\) 17.5967 2.39780i 0.694488 0.0946336i
\(643\) 12.5997 0.496884 0.248442 0.968647i \(-0.420081\pi\)
0.248442 + 0.968647i \(0.420081\pi\)
\(644\) −1.30029 + 5.34603i −0.0512385 + 0.210663i
\(645\) 2.83418 13.1919i 0.111596 0.519431i
\(646\) −12.1544 33.6039i −0.478207 1.32213i
\(647\) 9.55483 + 16.5495i 0.375639 + 0.650626i 0.990422 0.138070i \(-0.0440899\pi\)
−0.614783 + 0.788696i \(0.710757\pi\)
\(648\) −16.7519 19.1670i −0.658077 0.752950i
\(649\) −10.2160 + 17.6947i −0.401015 + 0.694578i
\(650\) 6.83763 8.11557i 0.268194 0.318319i
\(651\) 17.8105 8.09227i 0.698048 0.317161i
\(652\) −2.99898 17.4174i −0.117449 0.682118i
\(653\) 4.01546 6.95497i 0.157137 0.272169i −0.776698 0.629873i \(-0.783107\pi\)
0.933835 + 0.357704i \(0.116440\pi\)
\(654\) −11.4205 + 27.9288i −0.446579 + 1.09210i
\(655\) 6.02338 3.47760i 0.235353 0.135881i
\(656\) −5.49253 1.01410i −0.214447 0.0395939i
\(657\) −23.9973 10.8102i −0.936225 0.421748i
\(658\) 24.4145 36.8094i 0.951778 1.43498i
\(659\) 5.21061i 0.202977i −0.994837 0.101488i \(-0.967640\pi\)
0.994837 0.101488i \(-0.0323604\pi\)
\(660\) −6.98951 4.42810i −0.272066 0.172363i
\(661\) −33.5498 + 19.3700i −1.30494 + 0.753406i −0.981246 0.192757i \(-0.938257\pi\)
−0.323690 + 0.946163i \(0.604924\pi\)
\(662\) −2.39508 + 13.4252i −0.0930873 + 0.521787i
\(663\) −13.0274 11.7816i −0.505944 0.457560i
\(664\) −11.5789 6.77852i −0.449347 0.263058i
\(665\) 2.19497 + 19.0869i 0.0851171 + 0.740157i
\(666\) −36.1468 + 17.3453i −1.40066 + 0.672115i
\(667\) −0.686686 + 1.18937i −0.0265886 + 0.0460528i
\(668\) −18.2648 + 15.2012i −0.706685 + 0.588153i
\(669\) 1.91379 + 5.93416i 0.0739915 + 0.229428i
\(670\) 10.5064 3.80012i 0.405899 0.146811i
\(671\) −16.3251 −0.630223
\(672\) 1.74457 + 25.8642i 0.0672984 + 0.997733i
\(673\) −33.1783 −1.27893 −0.639465 0.768821i \(-0.720844\pi\)
−0.639465 + 0.768821i \(0.720844\pi\)
\(674\) 39.2168 14.1845i 1.51057 0.546366i
\(675\) −17.1893 1.92071i −0.661615 0.0739280i
\(676\) 12.1720 10.1304i 0.468154 0.389630i
\(677\) −15.7573 + 27.2925i −0.605602 + 1.04893i 0.386354 + 0.922351i \(0.373734\pi\)
−0.991956 + 0.126583i \(0.959599\pi\)
\(678\) −10.9131 14.0896i −0.419114 0.541107i
\(679\) −21.2027 9.19274i −0.813684 0.352785i
\(680\) 14.1955 + 8.31037i 0.544373 + 0.318688i
\(681\) 6.77481 7.49120i 0.259611 0.287063i
\(682\) 1.95897 10.9807i 0.0750127 0.420472i
\(683\) 19.4038 11.2028i 0.742465 0.428663i −0.0804996 0.996755i \(-0.525652\pi\)
0.822965 + 0.568092i \(0.192318\pi\)
\(684\) 24.0459 + 23.6141i 0.919419 + 0.902908i
\(685\) 16.9751i 0.648585i
\(686\) 16.6829 + 20.1911i 0.636956 + 0.770901i
\(687\) −22.0573 4.73884i −0.841539 0.180798i
\(688\) −4.37625 + 23.7025i −0.166843 + 0.903649i
\(689\) 23.5408 13.5913i 0.896833 0.517787i
\(690\) −3.04766 1.24624i −0.116022 0.0474434i
\(691\) −7.24483 + 12.5484i −0.275606 + 0.477364i −0.970288 0.241953i \(-0.922212\pi\)
0.694682 + 0.719317i \(0.255545\pi\)
\(692\) −2.12108 12.3187i −0.0806312 0.468287i
\(693\) −10.8447 + 9.87128i −0.411957 + 0.374979i
\(694\) −11.4594 + 13.6012i −0.434995 + 0.516294i
\(695\) 8.38773 14.5280i 0.318165 0.551077i
\(696\) −1.39733 + 6.31817i −0.0529658 + 0.239489i
\(697\) 3.14071 + 5.43987i 0.118963 + 0.206050i
\(698\) −16.5956 45.8830i −0.628155 1.73670i
\(699\) −26.7037 5.73708i −1.01003 0.216996i
\(700\) 12.7404 + 12.1623i 0.481541 + 0.459693i
\(701\) 21.9950 0.830738 0.415369 0.909653i \(-0.363652\pi\)
0.415369 + 0.909653i \(0.363652\pi\)
\(702\) 15.8843 + 4.70242i 0.599516 + 0.177481i
\(703\) 45.9694 26.5404i 1.73377 1.00099i
\(704\) 12.7102 + 7.54415i 0.479034 + 0.284331i
\(705\) 19.6054 + 17.7305i 0.738381 + 0.667769i
\(706\) 9.58261 11.3736i 0.360646 0.428050i
\(707\) −2.06770 17.9802i −0.0777639 0.676215i
\(708\) −1.57461 + 38.2769i −0.0591773 + 1.43853i
\(709\) 17.2122 + 9.93745i 0.646416 + 0.373209i 0.787082 0.616849i \(-0.211591\pi\)
−0.140666 + 0.990057i \(0.544924\pi\)
\(710\) −4.49929 + 25.2201i −0.168855 + 0.946493i
\(711\) 8.17071 0.822679i 0.306426 0.0308529i
\(712\) 23.5919 13.4317i 0.884143 0.503373i
\(713\) 4.43866i 0.166229i
\(714\) 20.8580 20.3684i 0.780590 0.762270i
\(715\) 5.38452 0.201370
\(716\) −1.14978 + 3.11990i −0.0429693 + 0.116596i
\(717\) −37.4951 + 12.0924i −1.40028 + 0.451598i
\(718\) −3.98843 + 22.3565i −0.148847 + 0.834339i
\(719\) −4.05138 + 7.01719i −0.151091 + 0.261697i −0.931629 0.363411i \(-0.881612\pi\)
0.780538 + 0.625108i \(0.214945\pi\)
\(720\) −15.4612 1.27422i −0.576206 0.0474874i
\(721\) −7.07413 9.53918i −0.263454 0.355258i
\(722\) −13.5741 11.4366i −0.505175 0.425626i
\(723\) 17.5241 + 15.8482i 0.651726 + 0.589402i
\(724\) 5.71736 + 6.86960i 0.212484 + 0.255307i
\(725\) 2.19834 + 3.80763i 0.0816442 + 0.141412i
\(726\) −2.50901 18.4129i −0.0931182 0.683367i
\(727\) 1.56460i 0.0580278i 0.999579 + 0.0290139i \(0.00923671\pi\)
−0.999579 + 0.0290139i \(0.990763\pi\)
\(728\) −9.96682 13.6107i −0.369395 0.504446i
\(729\) −8.00598 25.7857i −0.296518 0.955027i
\(730\) −15.0838 + 5.45574i −0.558278 + 0.201926i
\(731\) 23.4752 13.5534i 0.868263 0.501292i
\(732\) −27.1147 + 14.2019i −1.00219 + 0.524918i
\(733\) 10.2679 + 5.92818i 0.379254 + 0.218962i 0.677493 0.735529i \(-0.263066\pi\)
−0.298240 + 0.954491i \(0.596400\pi\)
\(734\) −21.9117 + 26.0069i −0.808775 + 0.959934i
\(735\) −13.4363 + 8.07175i −0.495605 + 0.297731i
\(736\) 5.50655 + 2.06715i 0.202974 + 0.0761962i
\(737\) −9.77767 5.64514i −0.360165 0.207941i
\(738\) −4.89012 3.34404i −0.180008 0.123096i
\(739\) −6.94639 12.0315i −0.255527 0.442586i 0.709511 0.704694i \(-0.248916\pi\)
−0.965039 + 0.262108i \(0.915582\pi\)
\(740\) −8.44919 + 22.9266i −0.310598 + 0.842800i
\(741\) −21.4429 4.60684i −0.787724 0.169236i
\(742\) 20.0923 + 40.3961i 0.737610 + 1.48299i
\(743\) 25.3287 0.929221 0.464611 0.885515i \(-0.346194\pi\)
0.464611 + 0.885515i \(0.346194\pi\)
\(744\) −6.29891 19.9422i −0.230929 0.731118i
\(745\) 4.42182 + 7.65881i 0.162003 + 0.280597i
\(746\) −20.1144 3.58844i −0.736442 0.131382i
\(747\) −8.31435 11.5496i −0.304206 0.422577i
\(748\) −2.82061 16.3814i −0.103132 0.598965i
\(749\) −11.4262 15.4078i −0.417506 0.562990i
\(750\) −20.8513 + 16.1504i −0.761382 + 0.589728i
\(751\) −10.4902 6.05653i −0.382793 0.221006i 0.296240 0.955114i \(-0.404267\pi\)
−0.679033 + 0.734108i \(0.737601\pi\)
\(752\) −35.9272 30.6423i −1.31013 1.11741i
\(753\) 2.83407 + 8.78770i 0.103279 + 0.320241i
\(754\) −1.43229 3.95993i −0.0521608 0.144212i
\(755\) 4.72090i 0.171811i
\(756\) −9.42474 + 25.8297i −0.342775 + 0.939418i
\(757\) 21.6528i 0.786983i −0.919328 0.393491i \(-0.871267\pi\)
0.919328 0.393491i \(-0.128733\pi\)
\(758\) −39.6373 + 14.3366i −1.43969 + 0.520729i
\(759\) 1.02128 + 3.16670i 0.0370700 + 0.114944i
\(760\) 20.5388 + 0.123901i 0.745021 + 0.00449436i
\(761\) −33.4532 19.3142i −1.21268 0.700141i −0.249337 0.968417i \(-0.580213\pi\)
−0.963342 + 0.268276i \(0.913546\pi\)
\(762\) 32.6571 + 42.1627i 1.18304 + 1.52739i
\(763\) 32.3778 3.72341i 1.17216 0.134797i
\(764\) −7.65428 44.4542i −0.276922 1.60830i
\(765\) 10.1933 + 14.1596i 0.368539 + 0.511941i
\(766\) −2.79575 + 15.6711i −0.101014 + 0.566221i
\(767\) −12.4652 21.5903i −0.450091 0.779580i
\(768\) 27.6736 + 1.47304i 0.998586 + 0.0531539i
\(769\) 32.8604 1.18498 0.592489 0.805579i \(-0.298145\pi\)
0.592489 + 0.805579i \(0.298145\pi\)
\(770\) −0.554172 + 8.91989i −0.0199710 + 0.321450i
\(771\) 14.2093 + 3.05276i 0.511736 + 0.109943i
\(772\) −10.8956 4.01536i −0.392140 0.144516i
\(773\) −14.2511 24.6836i −0.512576