Properties

Label 588.2.ba.b.187.25
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.25
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32790 + 0.486507i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.52662 + 1.29206i) q^{4} +(1.78497 - 0.700548i) q^{5} +(-1.24056 - 0.678986i) q^{6} +(-0.922480 - 2.47972i) q^{7} +(1.39860 + 2.45844i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(1.32790 + 0.486507i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.52662 + 1.29206i) q^{4} +(1.78497 - 0.700548i) q^{5} +(-1.24056 - 0.678986i) q^{6} +(-0.922480 - 2.47972i) q^{7} +(1.39860 + 2.45844i) q^{8} +(0.955573 + 0.294755i) q^{9} +(2.71108 - 0.0618565i) q^{10} +(0.216481 + 0.701815i) q^{11} +(-1.31700 - 1.50516i) q^{12} +(3.31769 + 0.757241i) q^{13} +(-0.0185560 - 3.74161i) q^{14} +(-1.86944 + 0.426688i) q^{15} +(0.661148 + 3.94498i) q^{16} +(1.16427 - 1.70767i) q^{17} +(1.12550 + 0.856297i) q^{18} +(2.48117 - 4.29750i) q^{19} +(3.63012 + 1.23682i) q^{20} +(0.542593 + 2.58952i) q^{21} +(-0.0539731 + 1.03726i) q^{22} +(0.444279 + 0.651637i) q^{23} +(-1.01657 - 2.63943i) q^{24} +(-0.969917 + 0.899951i) q^{25} +(4.03715 + 2.61962i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(1.79568 - 4.97750i) q^{28} +(-2.50189 + 1.20485i) q^{29} +(-2.69001 - 0.342899i) q^{30} +(2.18439 + 3.78347i) q^{31} +(-1.04133 + 5.56018i) q^{32} +(-0.109463 - 0.726241i) q^{33} +(2.37682 - 1.70118i) q^{34} +(-3.38376 - 3.77999i) q^{35} +(1.07796 + 1.68464i) q^{36} +(0.356465 - 4.75669i) q^{37} +(5.38550 - 4.49954i) q^{38} +(-3.16777 - 1.24326i) q^{39} +(4.21871 + 3.40845i) q^{40} +(4.70628 + 3.75313i) q^{41} +(-0.539310 + 3.70259i) q^{42} +(-4.08897 + 3.26085i) q^{43} +(-0.576304 + 1.35111i) q^{44} +(1.91216 - 0.143296i) q^{45} +(0.272930 + 1.08145i) q^{46} +(-1.29820 - 1.20456i) q^{47} +(-0.0657943 - 3.99946i) q^{48} +(-5.29806 + 4.57499i) q^{49} +(-1.72578 + 0.723172i) q^{50} +(-1.40578 + 1.51507i) q^{51} +(4.08645 + 5.44268i) q^{52} +(-0.300239 - 4.00640i) q^{53} +(-0.985306 - 1.01448i) q^{54} +(0.878067 + 1.10106i) q^{55} +(4.80607 - 5.73600i) q^{56} +(-3.09396 + 3.87971i) q^{57} +(-3.90842 + 0.382725i) q^{58} +(-0.108216 + 0.275731i) q^{59} +(-3.40524 - 1.76405i) q^{60} +(-12.5878 - 0.943323i) q^{61} +(1.05996 + 6.08679i) q^{62} +(-0.150586 - 2.64146i) q^{63} +(-4.08784 + 6.87674i) q^{64} +(6.45245 - 0.972551i) q^{65} +(0.207965 - 1.01763i) q^{66} +(1.82104 - 1.05138i) q^{67} +(3.98381 - 1.10266i) q^{68} +(-0.342195 - 0.710575i) q^{69} +(-2.65430 - 6.66566i) q^{70} +(-4.53892 + 9.42516i) q^{71} +(0.611826 + 2.76146i) q^{72} +(-5.22526 - 5.63149i) q^{73} +(2.78751 - 6.14297i) q^{74} +(1.09321 - 0.745341i) q^{75} +(9.34045 - 3.35484i) q^{76} +(1.54061 - 1.18422i) q^{77} +(-3.60162 - 3.19206i) q^{78} +(-7.78305 - 4.49354i) q^{79} +(3.94378 + 6.57850i) q^{80} +(0.826239 + 0.563320i) q^{81} +(4.42353 + 7.27341i) q^{82} +(2.07203 + 9.07817i) q^{83} +(-2.51748 + 4.65428i) q^{84} +(0.881878 - 3.86376i) q^{85} +(-7.01616 + 2.34076i) q^{86} +(2.65352 - 0.818502i) q^{87} +(-1.42260 + 1.51376i) q^{88} +(2.61668 - 8.48306i) q^{89} +(2.60886 + 0.739995i) q^{90} +(-1.18275 - 8.92549i) q^{91} +(-0.163711 + 1.56884i) q^{92} +(-1.59609 - 4.06678i) q^{93} +(-1.13786 - 2.23111i) q^{94} +(1.41819 - 9.40908i) q^{95} +(1.85840 - 5.34288i) q^{96} -8.95897i q^{97} +(-9.26105 + 3.49758i) q^{98} +0.734444i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32790 + 0.486507i 0.938965 + 0.344012i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 1.52662 + 1.29206i 0.763311 + 0.646031i
\(5\) 1.78497 0.700548i 0.798262 0.313295i 0.0690769 0.997611i \(-0.477995\pi\)
0.729185 + 0.684317i \(0.239899\pi\)
\(6\) −1.24056 0.678986i −0.506455 0.277195i
\(7\) −0.922480 2.47972i −0.348665 0.937247i
\(8\) 1.39860 + 2.45844i 0.494479 + 0.869189i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 2.71108 0.0618565i 0.857317 0.0195608i
\(11\) 0.216481 + 0.701815i 0.0652715 + 0.211605i 0.982333 0.187140i \(-0.0599219\pi\)
−0.917062 + 0.398745i \(0.869446\pi\)
\(12\) −1.31700 1.50516i −0.380185 0.434503i
\(13\) 3.31769 + 0.757241i 0.920161 + 0.210021i 0.656265 0.754530i \(-0.272135\pi\)
0.263896 + 0.964551i \(0.414992\pi\)
\(14\) −0.0185560 3.74161i −0.00495929 0.999988i
\(15\) −1.86944 + 0.426688i −0.482688 + 0.110170i
\(16\) 0.661148 + 3.94498i 0.165287 + 0.986246i
\(17\) 1.16427 1.70767i 0.282377 0.414171i −0.658678 0.752425i \(-0.728884\pi\)
0.941055 + 0.338254i \(0.109836\pi\)
\(18\) 1.12550 + 0.856297i 0.265283 + 0.201831i
\(19\) 2.48117 4.29750i 0.569218 0.985915i −0.427425 0.904051i \(-0.640579\pi\)
0.996643 0.0818643i \(-0.0260874\pi\)
\(20\) 3.63012 + 1.23682i 0.811720 + 0.276561i
\(21\) 0.542593 + 2.58952i 0.118404 + 0.565079i
\(22\) −0.0539731 + 1.03726i −0.0115071 + 0.221144i
\(23\) 0.444279 + 0.651637i 0.0926385 + 0.135876i 0.869760 0.493475i \(-0.164273\pi\)
−0.777122 + 0.629350i \(0.783321\pi\)
\(24\) −1.01657 2.63943i −0.207506 0.538771i
\(25\) −0.969917 + 0.899951i −0.193983 + 0.179990i
\(26\) 4.03715 + 2.61962i 0.791750 + 0.513749i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) 1.79568 4.97750i 0.339352 0.940660i
\(29\) −2.50189 + 1.20485i −0.464589 + 0.223734i −0.651509 0.758641i \(-0.725864\pi\)
0.186920 + 0.982375i \(0.440149\pi\)
\(30\) −2.69001 0.342899i −0.491127 0.0626045i
\(31\) 2.18439 + 3.78347i 0.392328 + 0.679532i 0.992756 0.120147i \(-0.0383365\pi\)
−0.600428 + 0.799679i \(0.705003\pi\)
\(32\) −1.04133 + 5.56018i −0.184082 + 0.982911i
\(33\) −0.109463 0.726241i −0.0190551 0.126422i
\(34\) 2.37682 1.70118i 0.407622 0.291751i
\(35\) −3.38376 3.77999i −0.571961 0.638934i
\(36\) 1.07796 + 1.68464i 0.179659 + 0.280773i
\(37\) 0.356465 4.75669i 0.0586024 0.781995i −0.888052 0.459744i \(-0.847941\pi\)
0.946654 0.322251i \(-0.104440\pi\)
\(38\) 5.38550 4.49954i 0.873643 0.729922i
\(39\) −3.16777 1.24326i −0.507250 0.199081i
\(40\) 4.21871 + 3.40845i 0.667036 + 0.538923i
\(41\) 4.70628 + 3.75313i 0.734997 + 0.586141i 0.917816 0.397006i \(-0.129951\pi\)
−0.182819 + 0.983147i \(0.558522\pi\)
\(42\) −0.539310 + 3.70259i −0.0832173 + 0.571321i
\(43\) −4.08897 + 3.26085i −0.623563 + 0.497275i −0.883550 0.468338i \(-0.844853\pi\)
0.259987 + 0.965612i \(0.416282\pi\)
\(44\) −0.576304 + 1.35111i −0.0868811 + 0.203688i
\(45\) 1.91216 0.143296i 0.285048 0.0213614i
\(46\) 0.272930 + 1.08145i 0.0402414 + 0.159451i
\(47\) −1.29820 1.20456i −0.189363 0.175703i 0.579794 0.814763i \(-0.303133\pi\)
−0.769157 + 0.639060i \(0.779323\pi\)
\(48\) −0.0657943 3.99946i −0.00949658 0.577272i
\(49\) −5.29806 + 4.57499i −0.756866 + 0.653570i
\(50\) −1.72578 + 0.723172i −0.244063 + 0.102272i
\(51\) −1.40578 + 1.51507i −0.196849 + 0.212152i
\(52\) 4.08645 + 5.44268i 0.566689 + 0.754764i
\(53\) −0.300239 4.00640i −0.0412409 0.550322i −0.979110 0.203332i \(-0.934823\pi\)
0.937869 0.346990i \(-0.112796\pi\)
\(54\) −0.985306 1.01448i −0.134083 0.138053i
\(55\) 0.878067 + 1.10106i 0.118399 + 0.148467i
\(56\) 4.80607 5.73600i 0.642238 0.766505i
\(57\) −3.09396 + 3.87971i −0.409805 + 0.513880i
\(58\) −3.90842 + 0.382725i −0.513200 + 0.0502543i
\(59\) −0.108216 + 0.275731i −0.0140886 + 0.0358971i −0.937745 0.347325i \(-0.887090\pi\)
0.923656 + 0.383222i \(0.125185\pi\)
\(60\) −3.40524 1.76405i −0.439615 0.227737i
\(61\) −12.5878 0.943323i −1.61170 0.120780i −0.761831 0.647776i \(-0.775699\pi\)
−0.849868 + 0.526996i \(0.823318\pi\)
\(62\) 1.05996 + 6.08679i 0.134615 + 0.773023i
\(63\) −0.150586 2.64146i −0.0189720 0.332793i
\(64\) −4.08784 + 6.87674i −0.510980 + 0.859592i
\(65\) 6.45245 0.972551i 0.800328 0.120630i
\(66\) 0.207965 1.01763i 0.0255988 0.125261i
\(67\) 1.82104 1.05138i 0.222476 0.128447i −0.384620 0.923075i \(-0.625668\pi\)
0.607096 + 0.794628i \(0.292334\pi\)
\(68\) 3.98381 1.10266i 0.483108 0.133717i
\(69\) −0.342195 0.710575i −0.0411954 0.0855432i
\(70\) −2.65430 6.66566i −0.317250 0.796698i
\(71\) −4.53892 + 9.42516i −0.538670 + 1.11856i 0.437029 + 0.899447i \(0.356031\pi\)
−0.975699 + 0.219113i \(0.929684\pi\)
\(72\) 0.611826 + 2.76146i 0.0721043 + 0.325441i
\(73\) −5.22526 5.63149i −0.611571 0.659116i 0.349010 0.937119i \(-0.386518\pi\)
−0.960580 + 0.278003i \(0.910328\pi\)
\(74\) 2.78751 6.14297i 0.324042 0.714106i
\(75\) 1.09321 0.745341i 0.126234 0.0860646i
\(76\) 9.34045 3.35484i 1.07142 0.384827i
\(77\) 1.54061 1.18422i 0.175568 0.134955i
\(78\) −3.60162 3.19206i −0.407803 0.361430i
\(79\) −7.78305 4.49354i −0.875661 0.505563i −0.00643582 0.999979i \(-0.502049\pi\)
−0.869225 + 0.494416i \(0.835382\pi\)
\(80\) 3.94378 + 6.57850i 0.440928 + 0.735499i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 4.42353 + 7.27341i 0.488497 + 0.803214i
\(83\) 2.07203 + 9.07817i 0.227435 + 0.996458i 0.951722 + 0.306960i \(0.0993118\pi\)
−0.724287 + 0.689498i \(0.757831\pi\)
\(84\) −2.51748 + 4.65428i −0.274680 + 0.507823i
\(85\) 0.881878 3.86376i 0.0956531 0.419084i
\(86\) −7.01616 + 2.34076i −0.756572 + 0.252410i
\(87\) 2.65352 0.818502i 0.284487 0.0877526i
\(88\) −1.42260 + 1.51376i −0.151649 + 0.161368i
\(89\) 2.61668 8.48306i 0.277367 0.899203i −0.704511 0.709693i \(-0.748834\pi\)
0.981879 0.189510i \(-0.0606900\pi\)
\(90\) 2.60886 + 0.739995i 0.274998 + 0.0780023i
\(91\) −1.18275 8.92549i −0.123986 0.935646i
\(92\) −0.163711 + 1.56884i −0.0170680 + 0.163563i
\(93\) −1.59609 4.06678i −0.165507 0.421706i
\(94\) −1.13786 2.23111i −0.117361 0.230122i
\(95\) 1.41819 9.40908i 0.145503 0.965352i
\(96\) 1.85840 5.34288i 0.189672 0.545305i
\(97\) 8.95897i 0.909646i −0.890582 0.454823i \(-0.849703\pi\)
0.890582 0.454823i \(-0.150297\pi\)
\(98\) −9.26105 + 3.49758i −0.935507 + 0.353309i
\(99\) 0.734444i 0.0738144i
\(100\) −2.64349 + 0.120692i −0.264349 + 0.0120692i
\(101\) 2.08909 13.8602i 0.207872 1.37914i −0.604780 0.796392i \(-0.706739\pi\)
0.812652 0.582749i \(-0.198023\pi\)
\(102\) −2.60382 + 1.32794i −0.257817 + 0.131485i
\(103\) −4.03860 10.2902i −0.397935 1.01392i −0.979683 0.200552i \(-0.935726\pi\)
0.581748 0.813369i \(-0.302369\pi\)
\(104\) 2.77849 + 9.21541i 0.272453 + 0.903645i
\(105\) 2.78259 + 4.24209i 0.271553 + 0.413986i
\(106\) 1.55046 5.46616i 0.150594 0.530921i
\(107\) −5.03096 + 16.3100i −0.486361 + 1.57674i 0.296810 + 0.954937i \(0.404077\pi\)
−0.783171 + 0.621807i \(0.786399\pi\)
\(108\) −0.814834 1.82648i −0.0784074 0.175754i
\(109\) −18.9358 + 5.84092i −1.81372 + 0.559458i −0.999769 0.0214766i \(-0.993163\pi\)
−0.813950 + 0.580935i \(0.802687\pi\)
\(110\) 0.630309 + 1.88928i 0.0600976 + 0.180136i
\(111\) −1.06143 + 4.65043i −0.100747 + 0.441400i
\(112\) 9.17257 5.27863i 0.866726 0.498784i
\(113\) 1.15935 + 5.07946i 0.109063 + 0.477835i 0.999731 + 0.0231819i \(0.00737970\pi\)
−0.890668 + 0.454653i \(0.849763\pi\)
\(114\) −5.99597 + 3.64662i −0.561574 + 0.341537i
\(115\) 1.24953 + 0.851913i 0.116519 + 0.0794413i
\(116\) −5.37617 1.39325i −0.499165 0.129360i
\(117\) 2.94709 + 1.70150i 0.272459 + 0.157304i
\(118\) −0.277845 + 0.313494i −0.0255777 + 0.0288595i
\(119\) −5.30856 1.31177i −0.486635 0.120250i
\(120\) −3.66359 3.99914i −0.334438 0.365070i
\(121\) 8.64295 5.89266i 0.785722 0.535696i
\(122\) −16.2563 7.37667i −1.47178 0.667853i
\(123\) −4.09434 4.41265i −0.369174 0.397875i
\(124\) −1.55375 + 8.59830i −0.139531 + 0.772150i
\(125\) −5.26071 + 10.9240i −0.470532 + 0.977071i
\(126\) 1.08513 3.58085i 0.0966709 0.319008i
\(127\) −3.77010 7.82870i −0.334542 0.694685i 0.664052 0.747686i \(-0.268835\pi\)
−0.998594 + 0.0530019i \(0.983121\pi\)
\(128\) −8.77382 + 7.14284i −0.775503 + 0.631344i
\(129\) 4.52931 2.61500i 0.398783 0.230238i
\(130\) 9.04135 + 1.84772i 0.792978 + 0.162055i
\(131\) −14.8181 + 2.23347i −1.29466 + 0.195139i −0.759999 0.649924i \(-0.774801\pi\)
−0.534666 + 0.845064i \(0.679562\pi\)
\(132\) 0.771240 1.25013i 0.0671278 0.108810i
\(133\) −12.9454 2.18824i −1.12251 0.189745i
\(134\) 2.92966 0.510174i 0.253084 0.0440723i
\(135\) −1.91216 0.143296i −0.164572 0.0123330i
\(136\) 5.82655 + 0.473940i 0.499622 + 0.0406400i
\(137\) −0.497913 + 1.26866i −0.0425396 + 0.108389i −0.950565 0.310527i \(-0.899495\pi\)
0.908025 + 0.418916i \(0.137590\pi\)
\(138\) −0.108700 1.11005i −0.00925315 0.0944938i
\(139\) −7.39084 + 9.26782i −0.626883 + 0.786087i −0.989295 0.145932i \(-0.953382\pi\)
0.362412 + 0.932018i \(0.381953\pi\)
\(140\) −0.281750 10.1426i −0.0238122 0.857210i
\(141\) 1.10417 + 1.38459i 0.0929883 + 0.116604i
\(142\) −10.6126 + 10.3074i −0.890592 + 0.864980i
\(143\) 0.186774 + 2.49233i 0.0156189 + 0.208419i
\(144\) −0.531029 + 3.96459i −0.0442524 + 0.330383i
\(145\) −3.62174 + 3.90330i −0.300769 + 0.324152i
\(146\) −4.19885 10.0202i −0.347499 0.829275i
\(147\) 5.92075 3.73426i 0.488335 0.307997i
\(148\) 6.69013 6.80109i 0.549925 0.559046i
\(149\) 16.3263 + 15.1486i 1.33750 + 1.24102i 0.947324 + 0.320277i \(0.103776\pi\)
0.390175 + 0.920741i \(0.372415\pi\)
\(150\) 1.81429 0.457880i 0.148136 0.0373857i
\(151\) −5.68016 + 0.425669i −0.462245 + 0.0346405i −0.303818 0.952730i \(-0.598261\pi\)
−0.158427 + 0.987371i \(0.550642\pi\)
\(152\) 14.0353 + 0.0893075i 1.13841 + 0.00724380i
\(153\) 1.61589 1.28863i 0.130637 0.104179i
\(154\) 2.62190 0.823011i 0.211279 0.0663201i
\(155\) 6.54957 + 5.22311i 0.526074 + 0.419530i
\(156\) −3.22962 5.99095i −0.258577 0.479660i
\(157\) 1.97578 + 0.775435i 0.157684 + 0.0618865i 0.442870 0.896586i \(-0.353960\pi\)
−0.285186 + 0.958472i \(0.592055\pi\)
\(158\) −8.14894 9.75347i −0.648295 0.775945i
\(159\) −0.300239 + 4.00640i −0.0238105 + 0.317729i
\(160\) 2.03644 + 10.6542i 0.160995 + 0.842292i
\(161\) 1.20604 1.70281i 0.0950494 0.134200i
\(162\) 0.823101 + 1.15000i 0.0646689 + 0.0903527i
\(163\) 0.236918 + 1.57185i 0.0185568 + 0.123116i 0.996191 0.0871949i \(-0.0277903\pi\)
−0.977634 + 0.210311i \(0.932552\pi\)
\(164\) 2.33542 + 11.8104i 0.182366 + 0.922239i
\(165\) −0.704155 1.21963i −0.0548184 0.0949483i
\(166\) −1.66515 + 13.0629i −0.129240 + 1.01388i
\(167\) 12.6069 6.07118i 0.975554 0.469802i 0.122980 0.992409i \(-0.460755\pi\)
0.852574 + 0.522607i \(0.175040\pi\)
\(168\) −5.60730 + 4.95563i −0.432612 + 0.382335i
\(169\) −1.27895 0.615909i −0.0983807 0.0473776i
\(170\) 3.05079 4.70164i 0.233985 0.360599i
\(171\) 3.63765 3.37524i 0.278178 0.258111i
\(172\) −10.4555 0.305130i −0.797227 0.0232659i
\(173\) 3.85460 + 5.65366i 0.293060 + 0.429840i 0.944327 0.329009i \(-0.106715\pi\)
−0.651267 + 0.758849i \(0.725762\pi\)
\(174\) 3.92180 + 0.204069i 0.297311 + 0.0154704i
\(175\) 3.12636 + 1.57494i 0.236331 + 0.119054i
\(176\) −2.62552 + 1.31802i −0.197906 + 0.0993493i
\(177\) 0.148103 0.256522i 0.0111321 0.0192814i
\(178\) 7.60175 9.99160i 0.569775 0.748902i
\(179\) 4.00242 5.87048i 0.299155 0.438780i −0.647002 0.762489i \(-0.723977\pi\)
0.946157 + 0.323709i \(0.104930\pi\)
\(180\) 3.10429 + 2.25187i 0.231380 + 0.167844i
\(181\) −16.6815 + 3.80745i −1.23993 + 0.283005i −0.791697 0.610913i \(-0.790802\pi\)
−0.448229 + 0.893919i \(0.647945\pi\)
\(182\) 2.77174 12.4276i 0.205455 0.921192i
\(183\) 12.3066 + 2.80890i 0.909728 + 0.207640i
\(184\) −0.980642 + 2.00361i −0.0722939 + 0.147708i
\(185\) −2.69601 8.74026i −0.198215 0.642597i
\(186\) −0.140931 6.17678i −0.0103336 0.452904i
\(187\) 1.45051 + 0.447423i 0.106072 + 0.0327188i
\(188\) −0.425503 3.51627i −0.0310330 0.256450i
\(189\) −0.244786 + 2.63440i −0.0178055 + 0.191625i
\(190\) 6.46080 11.8043i 0.468715 0.856376i
\(191\) 18.1502 7.12343i 1.31330 0.515434i 0.397700 0.917516i \(-0.369809\pi\)
0.915604 + 0.402082i \(0.131713\pi\)
\(192\) 5.06711 6.19067i 0.365687 0.446773i
\(193\) −8.09763 1.22052i −0.582880 0.0878550i −0.149018 0.988834i \(-0.547611\pi\)
−0.433862 + 0.900979i \(0.642849\pi\)
\(194\) 4.35860 11.8966i 0.312930 0.854126i
\(195\) −6.52533 −0.467289
\(196\) −13.9993 + 0.138858i −0.999951 + 0.00991845i
\(197\) 24.9470 1.77740 0.888701 0.458488i \(-0.151609\pi\)
0.888701 + 0.458488i \(0.151609\pi\)
\(198\) −0.357312 + 0.975266i −0.0253931 + 0.0693091i
\(199\) 25.7249 + 3.87741i 1.82359 + 0.274862i 0.969470 0.245211i \(-0.0788573\pi\)
0.854122 + 0.520073i \(0.174095\pi\)
\(200\) −3.56900 1.12581i −0.252366 0.0796068i
\(201\) −1.95741 + 0.768225i −0.138065 + 0.0541864i
\(202\) 9.51718 17.3886i 0.669626 1.22345i
\(203\) 5.29563 + 5.09255i 0.371680 + 0.357427i
\(204\) −4.10366 + 0.496584i −0.287314 + 0.0347678i
\(205\) 11.0298 + 3.40224i 0.770355 + 0.237623i
\(206\) −0.356597 15.6291i −0.0248453 1.08893i
\(207\) 0.232467 + 0.753640i 0.0161576 + 0.0523816i
\(208\) −0.793819 + 13.5889i −0.0550414 + 0.942219i
\(209\) 3.55318 + 0.810990i 0.245778 + 0.0560973i
\(210\) 1.63119 + 6.98681i 0.112563 + 0.482136i
\(211\) −6.78933 + 1.54962i −0.467397 + 0.106680i −0.449732 0.893164i \(-0.648480\pi\)
−0.0176650 + 0.999844i \(0.505623\pi\)
\(212\) 4.71818 6.50419i 0.324046 0.446710i
\(213\) 5.89297 8.64340i 0.403780 0.592236i
\(214\) −14.6155 + 19.2104i −0.999095 + 1.31319i
\(215\) −5.01430 + 8.68503i −0.341973 + 0.592314i
\(216\) −0.193418 2.82181i −0.0131604 0.192000i
\(217\) 7.36691 8.90686i 0.500099 0.604637i
\(218\) −27.9864 1.45626i −1.89548 0.0986302i
\(219\) 4.32757 + 6.34738i 0.292430 + 0.428916i
\(220\) −0.0821640 + 2.81542i −0.00553949 + 0.189816i
\(221\) 5.15580 4.78388i 0.346817 0.321799i
\(222\) −3.67194 + 5.65890i −0.246444 + 0.379801i
\(223\) 11.0856 + 5.33853i 0.742345 + 0.357494i 0.766526 0.642213i \(-0.221984\pi\)
−0.0241813 + 0.999708i \(0.507698\pi\)
\(224\) 14.7483 2.54696i 0.985414 0.170176i
\(225\) −1.19209 + 0.574081i −0.0794728 + 0.0382721i
\(226\) −0.931691 + 7.30903i −0.0619751 + 0.486190i
\(227\) 4.95301 + 8.57887i 0.328743 + 0.569399i 0.982263 0.187510i \(-0.0600417\pi\)
−0.653520 + 0.756909i \(0.726708\pi\)
\(228\) −9.73613 + 1.92525i −0.644791 + 0.127503i
\(229\) 3.06895 + 20.3612i 0.202802 + 1.34550i 0.826102 + 0.563521i \(0.190554\pi\)
−0.623300 + 0.781983i \(0.714208\pi\)
\(230\) 1.24478 + 1.73916i 0.0820784 + 0.114677i
\(231\) −1.69990 + 0.941382i −0.111845 + 0.0619384i
\(232\) −6.46118 4.46564i −0.424197 0.293184i
\(233\) −0.00181558 + 0.0242272i −0.000118942 + 0.00158717i −0.997263 0.0739365i \(-0.976444\pi\)
0.997144 + 0.0755237i \(0.0240628\pi\)
\(234\) 3.08564 + 3.69320i 0.201715 + 0.241432i
\(235\) −3.16110 1.24064i −0.206208 0.0809306i
\(236\) −0.521467 + 0.281114i −0.0339446 + 0.0182990i
\(237\) 7.02639 + 5.60336i 0.456413 + 0.363977i
\(238\) −6.41104 4.32456i −0.415566 0.280319i
\(239\) 5.13470 4.09479i 0.332136 0.264870i −0.443194 0.896426i \(-0.646155\pi\)
0.775330 + 0.631556i \(0.217583\pi\)
\(240\) −2.91925 7.09281i −0.188437 0.457839i
\(241\) 14.0392 1.05209i 0.904342 0.0677711i 0.385565 0.922681i \(-0.374007\pi\)
0.518777 + 0.854910i \(0.326388\pi\)
\(242\) 14.3438 3.61999i 0.922052 0.232702i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) −17.9979 17.7043i −1.15220 1.13340i
\(245\) −6.25186 + 11.8778i −0.399417 + 0.758842i
\(246\) −3.29008 7.85146i −0.209768 0.500591i
\(247\) 11.4860 12.3789i 0.730835 0.787653i
\(248\) −6.24635 + 10.6618i −0.396644 + 0.677022i
\(249\) −0.695859 9.28559i −0.0440983 0.588450i
\(250\) −12.3003 + 11.9466i −0.777938 + 0.755566i
\(251\) 8.37656 + 10.5039i 0.528724 + 0.662999i 0.972436 0.233171i \(-0.0749101\pi\)
−0.443712 + 0.896169i \(0.646339\pi\)
\(252\) 3.18305 4.22708i 0.200513 0.266281i
\(253\) −0.361151 + 0.452869i −0.0227053 + 0.0284716i
\(254\) −1.19759 12.2299i −0.0751435 0.767371i
\(255\) −1.44789 + 3.68917i −0.0906705 + 0.231025i
\(256\) −15.1258 + 5.21643i −0.945360 + 0.326027i
\(257\) −15.2229 1.14080i −0.949581 0.0711613i −0.409074 0.912501i \(-0.634148\pi\)
−0.540507 + 0.841340i \(0.681767\pi\)
\(258\) 7.28667 1.26891i 0.453648 0.0789987i
\(259\) −12.1241 + 3.50402i −0.753355 + 0.217729i
\(260\) 11.1070 + 6.85226i 0.688830 + 0.424959i
\(261\) −2.74587 + 0.413873i −0.169965 + 0.0256181i
\(262\) −20.7635 4.24330i −1.28278 0.262152i
\(263\) 14.0125 8.09015i 0.864051 0.498860i −0.00131597 0.999999i \(-0.500419\pi\)
0.865367 + 0.501139i \(0.167086\pi\)
\(264\) 1.63232 1.28483i 0.100463 0.0790757i
\(265\) −3.34260 6.94097i −0.205334 0.426381i
\(266\) −16.1256 9.20381i −0.988726 0.564322i
\(267\) −3.85179 + 7.99832i −0.235726 + 0.489489i
\(268\) 4.13850 + 0.747843i 0.252799 + 0.0456818i
\(269\) −18.6934 20.1467i −1.13976 1.22837i −0.970058 0.242873i \(-0.921910\pi\)
−0.169702 0.985495i \(-0.554280\pi\)
\(270\) −2.46943 1.12056i −0.150285 0.0681952i
\(271\) 1.72290 1.17465i 0.104658 0.0713549i −0.509860 0.860257i \(-0.670303\pi\)
0.614518 + 0.788903i \(0.289350\pi\)
\(272\) 7.50648 + 3.46400i 0.455147 + 0.210036i
\(273\) −0.160731 + 9.00208i −0.00972788 + 0.544831i
\(274\) −1.27839 + 1.44241i −0.0772303 + 0.0871394i
\(275\) −0.841568 0.485880i −0.0507485 0.0292996i
\(276\) 0.395706 1.52692i 0.0238187 0.0919096i
\(277\) −15.9517 10.8757i −0.958445 0.653457i −0.0203345 0.999793i \(-0.506473\pi\)
−0.938110 + 0.346337i \(0.887425\pi\)
\(278\) −14.3231 + 8.71102i −0.859045 + 0.522452i
\(279\) 0.972145 + 4.25925i 0.0582008 + 0.254994i
\(280\) 4.56033 13.6055i 0.272532 0.813082i
\(281\) −6.28843 + 27.5514i −0.375136 + 1.64358i 0.336976 + 0.941513i \(0.390596\pi\)
−0.712112 + 0.702066i \(0.752261\pi\)
\(282\) 0.792617 + 2.37578i 0.0471997 + 0.141476i
\(283\) 7.98625 2.46343i 0.474733 0.146436i −0.0481500 0.998840i \(-0.515333\pi\)
0.522883 + 0.852404i \(0.324856\pi\)
\(284\) −19.1071 + 8.52409i −1.13380 + 0.505812i
\(285\) −2.80470 + 9.09262i −0.166136 + 0.538600i
\(286\) −0.964520 + 3.40043i −0.0570332 + 0.201071i
\(287\) 4.96528 15.1325i 0.293091 0.893241i
\(288\) −2.63396 + 5.00622i −0.155207 + 0.294995i
\(289\) 4.65019 + 11.8485i 0.273540 + 0.696969i
\(290\) −6.70828 + 3.42119i −0.393924 + 0.200899i
\(291\) −1.33527 + 8.85891i −0.0782747 + 0.519318i
\(292\) −0.700756 15.3485i −0.0410086 0.898204i
\(293\) 16.6892i 0.974993i 0.873125 + 0.487497i \(0.162090\pi\)
−0.873125 + 0.487497i \(0.837910\pi\)
\(294\) 9.67889 2.07822i 0.564485 0.121205i
\(295\) 0.567982i 0.0330692i
\(296\) 12.1926 5.77636i 0.708679 0.335744i
\(297\) 0.109463 0.726241i 0.00635170 0.0421408i
\(298\) 14.3097 + 28.0586i 0.828939 + 1.62539i
\(299\) 0.980532 + 2.49836i 0.0567057 + 0.144484i
\(300\) 2.63195 + 0.274648i 0.151956 + 0.0158568i
\(301\) 11.8580 + 7.13146i 0.683484 + 0.411050i
\(302\) −7.74976 2.19819i −0.445949 0.126492i
\(303\) −4.13151 + 13.3940i −0.237349 + 0.769467i
\(304\) 18.5940 + 6.94687i 1.06644 + 0.398430i
\(305\) −23.1296 + 7.13454i −1.32440 + 0.408522i
\(306\) 2.77266 0.925024i 0.158502 0.0528801i
\(307\) 7.01521 30.7356i 0.400379 1.75418i −0.225488 0.974246i \(-0.572398\pi\)
0.625867 0.779930i \(-0.284745\pi\)
\(308\) 3.88202 + 0.182699i 0.221198 + 0.0104102i
\(309\) 2.45982 + 10.7772i 0.139934 + 0.613091i
\(310\) 6.15608 + 10.1222i 0.349642 + 0.574900i
\(311\) −13.5761 9.25601i −0.769829 0.524860i 0.113543 0.993533i \(-0.463780\pi\)
−0.883372 + 0.468673i \(0.844732\pi\)
\(312\) −1.37397 9.52659i −0.0777856 0.539337i
\(313\) −15.1638 8.75484i −0.857111 0.494853i 0.00593308 0.999982i \(-0.498111\pi\)
−0.863044 + 0.505129i \(0.831445\pi\)
\(314\) 2.24637 + 1.99093i 0.126770 + 0.112355i
\(315\) −2.11926 4.60943i −0.119407 0.259712i
\(316\) −6.07583 16.9161i −0.341792 0.951607i
\(317\) 17.0531 11.6266i 0.957796 0.653014i 0.0198527 0.999803i \(-0.493680\pi\)
0.937943 + 0.346789i \(0.112728\pi\)
\(318\) −2.34783 + 5.17403i −0.131660 + 0.290145i
\(319\) −1.38719 1.49504i −0.0776678 0.0837059i
\(320\) −2.47918 + 15.1385i −0.138590 + 0.846267i
\(321\) 7.40564 15.3780i 0.413342 0.858314i
\(322\) 2.42993 1.67441i 0.135415 0.0933112i
\(323\) −4.44997 9.24046i −0.247603 0.514153i
\(324\) 0.533509 + 1.92753i 0.0296394 + 0.107085i
\(325\) −3.89936 + 2.25130i −0.216298 + 0.124880i
\(326\) −0.450112 + 2.20251i −0.0249294 + 0.121986i
\(327\) 19.5948 2.95345i 1.08360 0.163326i
\(328\) −2.64465 + 16.8192i −0.146026 + 0.928686i
\(329\) −1.78940 + 4.33037i −0.0986530 + 0.238741i
\(330\) −0.341686 1.96212i −0.0188092 0.108011i
\(331\) 15.3609 + 1.15114i 0.844311 + 0.0632723i 0.489859 0.871802i \(-0.337048\pi\)
0.354452 + 0.935074i \(0.384667\pi\)
\(332\) −8.56635 + 16.5361i −0.470140 + 0.907538i
\(333\) 1.74269 4.44029i 0.0954987 0.243327i
\(334\) 19.6944 1.92854i 1.07763 0.105525i
\(335\) 2.51396 3.15241i 0.137352 0.172235i
\(336\) −9.85686 + 3.85257i −0.537736 + 0.210175i
\(337\) 19.6865 + 24.6860i 1.07239 + 1.34473i 0.935172 + 0.354194i \(0.115245\pi\)
0.137218 + 0.990541i \(0.456184\pi\)
\(338\) −1.39867 1.44008i −0.0760775 0.0783301i
\(339\) −0.389350 5.19552i −0.0211466 0.282182i
\(340\) 6.33852 4.75906i 0.343754 0.258096i
\(341\) −2.18242 + 2.35209i −0.118185 + 0.127373i
\(342\) 6.47250 2.71223i 0.349993 0.146661i
\(343\) 16.2321 + 8.91738i 0.876450 + 0.481493i
\(344\) −13.7354 5.49187i −0.740565 0.296102i
\(345\) −1.10860 1.02863i −0.0596850 0.0553796i
\(346\) 2.36797 + 9.38277i 0.127303 + 0.504421i
\(347\) 24.5970 1.84329i 1.32044 0.0989531i 0.604213 0.796823i \(-0.293488\pi\)
0.716224 + 0.697870i \(0.245869\pi\)
\(348\) 5.10847 + 2.17897i 0.273843 + 0.116805i
\(349\) −20.8100 + 16.5954i −1.11393 + 0.888333i −0.994524 0.104511i \(-0.966672\pi\)
−0.119411 + 0.992845i \(0.538101\pi\)
\(350\) 3.38527 + 3.61235i 0.180950 + 0.193088i
\(351\) −2.66058 2.12174i −0.142011 0.113250i
\(352\) −4.12765 + 0.472858i −0.220004 + 0.0252034i
\(353\) −6.86463 2.69417i −0.365367 0.143396i 0.175553 0.984470i \(-0.443829\pi\)
−0.540920 + 0.841074i \(0.681924\pi\)
\(354\) 0.321466 0.268582i 0.0170857 0.0142750i
\(355\) −1.49904 + 20.0033i −0.0795609 + 1.06167i
\(356\) 14.9553 9.56952i 0.792631 0.507183i
\(357\) 5.05376 + 2.08832i 0.267473 + 0.110526i
\(358\) 8.17083 5.84818i 0.431842 0.309086i
\(359\) −1.11242 7.38045i −0.0587115 0.389525i −0.998816 0.0486399i \(-0.984511\pi\)
0.940105 0.340885i \(-0.110727\pi\)
\(360\) 3.02663 + 4.50051i 0.159517 + 0.237198i
\(361\) −2.81236 4.87115i −0.148019 0.256376i
\(362\) −24.0037 3.05978i −1.26161 0.160818i
\(363\) −9.42467 + 4.53868i −0.494667 + 0.238219i
\(364\) 9.72668 15.1540i 0.509816 0.794288i
\(365\) −13.2721 6.39148i −0.694691 0.334546i
\(366\) 14.9753 + 9.71716i 0.782773 + 0.507924i
\(367\) 25.9652 24.0922i 1.35537 1.25760i 0.418370 0.908277i \(-0.362601\pi\)
0.937002 0.349325i \(-0.113589\pi\)
\(368\) −2.27696 + 2.18350i −0.118695 + 0.113823i
\(369\) 3.39094 + 4.97359i 0.176525 + 0.258915i
\(370\) 0.672170 12.9178i 0.0349445 0.671564i
\(371\) −9.65781 + 4.44034i −0.501409 + 0.230531i
\(372\) 2.81791 8.27069i 0.146102 0.428815i
\(373\) 2.36604 4.09809i 0.122509 0.212191i −0.798248 0.602329i \(-0.794239\pi\)
0.920756 + 0.390138i \(0.127573\pi\)
\(374\) 1.70845 + 1.29982i 0.0883420 + 0.0672118i
\(375\) 6.83009 10.0179i 0.352704 0.517322i
\(376\) 1.14566 4.87625i 0.0590831 0.251473i
\(377\) −9.21285 + 2.10277i −0.474486 + 0.108298i
\(378\) −1.60671 + 3.37913i −0.0826400 + 0.173804i
\(379\) −34.1410 7.79245i −1.75370 0.400271i −0.779583 0.626299i \(-0.784569\pi\)
−0.974121 + 0.226028i \(0.927426\pi\)
\(380\) 14.3222 12.5317i 0.734712 0.642864i
\(381\) 2.56119 + 8.30316i 0.131214 + 0.425384i
\(382\) 27.5672 0.628980i 1.41046 0.0321814i
\(383\) −22.8385 7.04475i −1.16699 0.359970i −0.350075 0.936722i \(-0.613844\pi\)
−0.816920 + 0.576752i \(0.804320\pi\)
\(384\) 9.74040 5.75539i 0.497063 0.293704i
\(385\) 1.92033 3.19307i 0.0978690 0.162734i
\(386\) −10.1590 5.56028i −0.517081 0.283011i
\(387\) −4.86846 + 1.91073i −0.247478 + 0.0971279i
\(388\) 11.5756 13.6770i 0.587660 0.694343i
\(389\) 29.1984 + 4.40096i 1.48042 + 0.223137i 0.839033 0.544080i \(-0.183121\pi\)
0.641387 + 0.767218i \(0.278359\pi\)
\(390\) −8.66497 3.17462i −0.438768 0.160753i
\(391\) 1.63004 0.0824347
\(392\) −18.6572 6.62637i −0.942331 0.334682i
\(393\) 14.9855 0.755918
\(394\) 33.1271 + 12.1369i 1.66892 + 0.611448i
\(395\) −17.0404 2.56843i −0.857397 0.129232i
\(396\) −0.948948 + 1.12122i −0.0476864 + 0.0563433i
\(397\) −8.63204 + 3.38783i −0.433230 + 0.170030i −0.571927 0.820305i \(-0.693804\pi\)
0.138697 + 0.990335i \(0.455709\pi\)
\(398\) 32.2737 + 17.6642i 1.61773 + 0.885424i
\(399\) 12.4747 + 4.09322i 0.624517 + 0.204917i
\(400\) −4.19155 3.23130i −0.209578 0.161565i
\(401\) −19.1114 5.89507i −0.954376 0.294386i −0.221816 0.975089i \(-0.571198\pi\)
−0.732560 + 0.680703i \(0.761675\pi\)
\(402\) −2.97298 + 0.0678322i −0.148279 + 0.00338316i
\(403\) 4.38213 + 14.2065i 0.218289 + 0.707676i
\(404\) 21.0975 18.4600i 1.04964 0.918422i
\(405\) 1.86944 + 0.426688i 0.0928933 + 0.0212023i
\(406\) 4.55449 + 9.33874i 0.226036 + 0.463474i
\(407\) 3.41548 0.779562i 0.169299 0.0386414i
\(408\) −5.69083 1.33705i −0.281738 0.0661937i
\(409\) 4.07183 5.97228i 0.201339 0.295310i −0.712269 0.701907i \(-0.752332\pi\)
0.913608 + 0.406597i \(0.133285\pi\)
\(410\) 12.9912 + 9.88391i 0.641591 + 0.488131i
\(411\) 0.681435 1.18028i 0.0336127 0.0582190i
\(412\) 7.13014 20.9273i 0.351277 1.03102i
\(413\) 0.783564 + 0.0139904i 0.0385567 + 0.000688424i
\(414\) −0.0579587 + 1.11385i −0.00284852 + 0.0547429i
\(415\) 10.0582 + 14.7527i 0.493738 + 0.724180i
\(416\) −7.66519 + 17.6584i −0.375817 + 0.865776i
\(417\) 8.68959 8.06276i 0.425531 0.394835i
\(418\) 4.32370 + 2.80556i 0.211479 + 0.137224i
\(419\) −34.0375 16.3916i −1.66284 0.800781i −0.998580 0.0532796i \(-0.983033\pi\)
−0.664260 0.747502i \(-0.731253\pi\)
\(420\) −1.23308 + 10.0714i −0.0601681 + 0.491432i
\(421\) 28.0142 13.4909i 1.36533 0.657508i 0.399511 0.916729i \(-0.369180\pi\)
0.965818 + 0.259221i \(0.0834658\pi\)
\(422\) −9.76943 1.24532i −0.475568 0.0606213i
\(423\) −0.885479 1.53370i −0.0430535 0.0745708i
\(424\) 9.42959 6.34147i 0.457941 0.307969i
\(425\) 0.407575 + 2.70408i 0.0197703 + 0.131167i
\(426\) 12.0303 8.61057i 0.582871 0.417184i
\(427\) 9.27279 + 32.0844i 0.448742 + 1.55267i
\(428\) −28.7539 + 18.3988i −1.38987 + 0.889341i
\(429\) 0.186774 2.49233i 0.00901755 0.120331i
\(430\) −10.8838 + 9.09333i −0.524864 + 0.438519i
\(431\) 21.5089 + 8.44163i 1.03605 + 0.406619i 0.821569 0.570109i \(-0.193099\pi\)
0.214480 + 0.976728i \(0.431194\pi\)
\(432\) 1.11599 3.84117i 0.0536931 0.184808i
\(433\) 3.28298 + 2.61809i 0.157770 + 0.125817i 0.699193 0.714933i \(-0.253543\pi\)
−0.541423 + 0.840750i \(0.682114\pi\)
\(434\) 14.1158 8.24334i 0.677578 0.395693i
\(435\) 4.16304 3.31992i 0.199603 0.159178i
\(436\) −36.4546 15.5494i −1.74586 0.744679i
\(437\) 3.90274 0.292470i 0.186694 0.0139907i
\(438\) 2.65852 + 10.5341i 0.127029 + 0.503337i
\(439\) −11.8661 11.0102i −0.566340 0.525487i 0.344206 0.938894i \(-0.388148\pi\)
−0.910546 + 0.413407i \(0.864339\pi\)
\(440\) −1.47883 + 3.69862i −0.0705004 + 0.176325i
\(441\) −6.41118 + 2.81011i −0.305295 + 0.133815i
\(442\) 9.17377 3.84417i 0.436352 0.182849i
\(443\) −20.8520 + 22.4731i −0.990710 + 1.06773i 0.00699225 + 0.999976i \(0.497774\pi\)
−0.997702 + 0.0677556i \(0.978416\pi\)
\(444\) −7.62906 + 5.72802i −0.362059 + 0.271840i
\(445\) −1.27211 16.9751i −0.0603037 0.804697i
\(446\) 12.1233 + 12.4822i 0.574053 + 0.591051i
\(447\) −13.8861 17.4127i −0.656791 0.823590i
\(448\) 20.8234 + 3.79306i 0.983812 + 0.179205i
\(449\) −8.62911 + 10.8206i −0.407233 + 0.510654i −0.942581 0.333977i \(-0.891609\pi\)
0.535348 + 0.844632i \(0.320180\pi\)
\(450\) −1.86227 + 0.182360i −0.0877882 + 0.00859651i
\(451\) −1.61518 + 4.11542i −0.0760560 + 0.193787i
\(452\) −4.79309 + 9.25237i −0.225448 + 0.435195i
\(453\) 5.68016 + 0.425669i 0.266877 + 0.0199997i
\(454\) 2.40341 + 13.8015i 0.112798 + 0.647738i
\(455\) −8.36392 15.1031i −0.392106 0.708046i
\(456\) −13.8652 2.18016i −0.649299 0.102096i
\(457\) 40.5318 6.10918i 1.89600 0.285775i 0.905611 0.424110i \(-0.139413\pi\)
0.990386 + 0.138334i \(0.0441748\pi\)
\(458\) −5.83060 + 28.5306i −0.272446 + 1.33315i
\(459\) −1.78990 + 1.03340i −0.0835454 + 0.0482350i
\(460\) 0.806830 + 2.91502i 0.0376186 + 0.135913i
\(461\) −2.75918 5.72950i −0.128508 0.266849i 0.826781 0.562524i \(-0.190170\pi\)
−0.955289 + 0.295675i \(0.904455\pi\)
\(462\) −2.71528 + 0.423045i −0.126326 + 0.0196818i
\(463\) −6.09845 + 12.6636i −0.283419 + 0.588525i −0.993269 0.115827i \(-0.963048\pi\)
0.709851 + 0.704352i \(0.248762\pi\)
\(464\) −6.40721 9.07332i −0.297447 0.421218i
\(465\) −5.69795 6.14093i −0.264236 0.284779i
\(466\) −0.0141976 + 0.0312879i −0.000657690 + 0.00144938i
\(467\) 6.71362 4.57727i 0.310669 0.211811i −0.397941 0.917411i \(-0.630275\pi\)
0.708610 + 0.705601i \(0.249323\pi\)
\(468\) 2.30064 + 6.40538i 0.106347 + 0.296089i
\(469\) −4.28701 3.54581i −0.197956 0.163730i
\(470\) −3.59404 3.18534i −0.165781 0.146929i
\(471\) −1.83814 1.06125i −0.0846969 0.0488998i
\(472\) −0.829219 + 0.119594i −0.0381679 + 0.00550474i
\(473\) −3.17370 2.16379i −0.145927 0.0994912i
\(474\) 6.60425 + 10.8591i 0.303343 + 0.498774i
\(475\) 1.46102 + 6.40115i 0.0670362 + 0.293705i
\(476\) −6.40927 8.86158i −0.293769 0.406170i
\(477\) 0.894009 3.91691i 0.0409338 0.179343i
\(478\) 8.81050 2.93939i 0.402983 0.134444i
\(479\) 1.45644 0.449251i 0.0665463 0.0205268i −0.261303 0.965257i \(-0.584152\pi\)
0.327850 + 0.944730i \(0.393676\pi\)
\(480\) −0.425766 10.8388i −0.0194335 0.494720i
\(481\) 4.78460 15.5113i 0.218159 0.707254i
\(482\) 19.1544 + 5.43308i 0.872460 + 0.247470i
\(483\) −1.44636 + 1.50404i −0.0658118 + 0.0684362i
\(484\) 20.8082 + 2.17136i 0.945827 + 0.0986984i
\(485\) −6.27619 15.9915i −0.284987 0.726136i
\(486\) −0.642509 1.25983i −0.0291448 0.0571472i
\(487\) 3.57107 23.6925i 0.161821 1.07361i −0.749527 0.661974i \(-0.769719\pi\)
0.911348 0.411637i \(-0.135043\pi\)
\(488\) −15.2861 32.2656i −0.691971 1.46059i
\(489\) 1.58960i 0.0718842i
\(490\) −14.0804 + 12.7309i −0.636090 + 0.575122i
\(491\) 5.29678i 0.239040i 0.992832 + 0.119520i \(0.0381356\pi\)
−0.992832 + 0.119520i \(0.961864\pi\)
\(492\) −0.549089 12.0266i −0.0247548 0.542200i
\(493\) −0.855393 + 5.67516i −0.0385250 + 0.255596i
\(494\) 21.2746 10.8500i 0.957191 0.488162i
\(495\) 0.514513 + 1.31096i 0.0231257 + 0.0589232i
\(496\) −13.4815 + 11.1188i −0.605339 + 0.499250i
\(497\) 27.5589 + 2.56074i 1.23618 + 0.114865i
\(498\) 3.59348 12.6688i 0.161028 0.567705i
\(499\) −4.26894 + 13.8396i −0.191104 + 0.619544i 0.808417 + 0.588610i \(0.200324\pi\)
−0.999521 + 0.0309342i \(0.990152\pi\)
\(500\) −22.1456 + 9.87962i −0.990381 + 0.441830i
\(501\) −13.3710 + 4.12440i −0.597372 + 0.184265i
\(502\) 6.01300 + 18.0233i 0.268373 + 0.804420i
\(503\) 5.47599 23.9919i 0.244162 1.06974i −0.693024 0.720915i \(-0.743722\pi\)
0.937186 0.348830i \(-0.113421\pi\)
\(504\) 6.28326 4.06455i 0.279879 0.181050i
\(505\) −5.98078 26.2035i −0.266141 1.16604i
\(506\) −0.699895 + 0.425661i −0.0311141 + 0.0189229i
\(507\) 1.17287 + 0.799647i 0.0520889 + 0.0355136i
\(508\) 4.35965 16.8227i 0.193428 0.746385i
\(509\) −28.1974 16.2798i −1.24983 0.721589i −0.278753 0.960363i \(-0.589921\pi\)
−0.971075 + 0.238774i \(0.923254\pi\)
\(510\) −3.71746 + 4.19443i −0.164612 + 0.185732i
\(511\) −9.14434 + 18.1521i −0.404522 + 0.803004i
\(512\) −22.6233 0.431907i −0.999818 0.0190878i
\(513\) −4.10007 + 2.79538i −0.181023 + 0.123419i
\(514\) −19.6595 8.92094i −0.867143 0.393486i
\(515\) −14.4175 15.5384i −0.635312 0.684704i
\(516\) 10.2933 + 1.86004i 0.453136 + 0.0818836i
\(517\) 0.564340 1.17186i 0.0248196 0.0515385i
\(518\) −17.8043 1.24549i −0.782276 0.0547236i
\(519\) −2.96891 6.16502i −0.130321 0.270614i
\(520\) 11.4153 + 14.5027i 0.500596 + 0.635988i
\(521\) 4.11941 2.37834i 0.180474 0.104197i −0.407041 0.913410i \(-0.633439\pi\)
0.587516 + 0.809213i \(0.300106\pi\)
\(522\) −3.84759 0.786304i −0.168404 0.0344156i
\(523\) −2.24596 + 0.338524i −0.0982091 + 0.0148026i −0.197963 0.980210i \(-0.563433\pi\)
0.0997538 + 0.995012i \(0.468194\pi\)
\(524\) −25.5074 15.7363i −1.11430 0.687442i
\(525\) −2.85671 2.02331i −0.124677 0.0883044i
\(526\) 22.5431 3.92568i 0.982927 0.171168i
\(527\) 9.00414 + 0.674767i 0.392227 + 0.0293933i
\(528\) 2.79264 0.911983i 0.121534 0.0396890i
\(529\) 8.17560 20.8311i 0.355461 0.905699i
\(530\) −1.06179 10.8431i −0.0461213 0.470994i
\(531\) −0.184682 + 0.231584i −0.00801451 + 0.0100499i
\(532\) −16.9355 20.0669i −0.734245 0.870013i
\(533\) 12.7719 + 16.0155i 0.553214 + 0.693709i
\(534\) −9.00602 + 8.74702i −0.389728 + 0.378521i
\(535\) 2.44582 + 32.6372i 0.105742 + 1.41103i
\(536\) 5.13167 + 3.00647i 0.221654 + 0.129860i
\(537\) −4.83267 + 5.20838i −0.208545 + 0.224758i
\(538\) −15.0214 35.8473i −0.647620 1.54549i
\(539\) −4.35773 2.72786i −0.187701 0.117497i
\(540\) −2.73399 2.68939i −0.117652 0.115733i
\(541\) −2.22348 2.06309i −0.0955948 0.0886990i 0.630928 0.775841i \(-0.282674\pi\)
−0.726523 + 0.687142i \(0.758865\pi\)
\(542\) 2.85930 0.721614i 0.122818 0.0309960i
\(543\) 17.0627 1.27867i 0.732229 0.0548730i
\(544\) 8.28257 + 8.25179i 0.355112 + 0.353793i
\(545\) −29.7079 + 23.6913i −1.27255 + 1.01482i
\(546\) −4.59301 + 11.8756i −0.196563 + 0.508231i
\(547\) −17.2148 13.7284i −0.736053 0.586983i 0.182066 0.983286i \(-0.441721\pi\)
−0.918120 + 0.396303i \(0.870293\pi\)
\(548\) −2.39931 + 1.29343i −0.102494 + 0.0552526i
\(549\) −11.7505 4.61172i −0.501498 0.196824i
\(550\) −0.881132 1.05463i −0.0375716 0.0449694i
\(551\) −1.02977 + 13.7413i −0.0438696 + 0.585399i
\(552\) 1.26831 1.83508i 0.0539830 0.0781060i
\(553\) −3.96304 + 23.4450i −0.168526 + 0.996983i
\(554\) −15.8911 22.2024i −0.675149 0.943290i
\(555\) 1.36323 + 9.04446i 0.0578660 + 0.383916i
\(556\) −23.2576 + 4.59903i −0.986343 + 0.195042i
\(557\) −12.6834 21.9684i −0.537415 0.930829i −0.999042 0.0437556i \(-0.986068\pi\)
0.461628 0.887074i \(-0.347266\pi\)
\(558\) −0.781245 + 6.12880i −0.0330727 + 0.259453i
\(559\) −16.0352 + 7.72214i −0.678216 + 0.326612i
\(560\) 12.6748 15.8480i 0.535608 0.669701i
\(561\) −1.36762 0.658613i −0.0577411 0.0278067i
\(562\) −21.7543 + 33.5261i −0.917652 + 1.41421i
\(563\) −9.29208 + 8.62179i −0.391614 + 0.363365i −0.851266 0.524734i \(-0.824165\pi\)
0.459652 + 0.888099i \(0.347974\pi\)
\(564\) −0.103322 + 3.54041i −0.00435063 + 0.149078i
\(565\) 5.62781 + 8.25449i 0.236764 + 0.347269i
\(566\) 11.8034 + 0.614183i 0.496134 + 0.0258160i
\(567\) 0.634689 2.56850i 0.0266544 0.107867i
\(568\) −29.5193 + 2.02337i −1.23860 + 0.0848986i
\(569\) 8.07613 13.9883i 0.338569 0.586419i −0.645595 0.763680i \(-0.723391\pi\)
0.984164 + 0.177262i \(0.0567238\pi\)
\(570\) −8.14798 + 10.7096i −0.341281 + 0.448574i
\(571\) −25.8379 + 37.8972i −1.08128 + 1.58595i −0.308561 + 0.951204i \(0.599847\pi\)
−0.772721 + 0.634746i \(0.781105\pi\)
\(572\) −2.93511 + 4.04617i −0.122723 + 0.169179i
\(573\) −19.0092 + 4.33872i −0.794120 + 0.181253i
\(574\) 13.9554 17.6787i 0.582488 0.737895i
\(575\) −1.01736 0.232205i −0.0424267 0.00968361i
\(576\) −5.93319 + 5.36631i −0.247216 + 0.223596i
\(577\) 6.41056 + 20.7825i 0.266875 + 0.865188i 0.985483 + 0.169773i \(0.0543034\pi\)
−0.718608 + 0.695415i \(0.755220\pi\)
\(578\) 0.410599 + 17.9959i 0.0170787 + 0.748531i
\(579\) 7.82527 + 2.41378i 0.325207 + 0.100313i
\(580\) −10.5723 + 1.27936i −0.438992 + 0.0531224i
\(581\) 20.5999 13.5125i 0.854629 0.560593i
\(582\) −6.08302 + 11.1141i −0.252149 + 0.460694i
\(583\) 2.74676 1.07802i 0.113759 0.0446472i
\(584\) 6.53663 20.7222i 0.270488 0.857490i
\(585\) 6.45245 + 0.972551i 0.266776 + 0.0402100i
\(586\) −8.11941 + 22.1615i −0.335410 + 0.915484i
\(587\) 4.92716 0.203366 0.101683 0.994817i \(-0.467577\pi\)
0.101683 + 0.994817i \(0.467577\pi\)
\(588\) 13.8636 + 1.94918i 0.571727 + 0.0803829i
\(589\) 21.6793 0.893281
\(590\) −0.276327 + 0.754221i −0.0113762 + 0.0310508i
\(591\) −24.6684 3.71816i −1.01472 0.152945i
\(592\) 19.0007 1.73863i 0.780925 0.0714572i
\(593\) −7.11807 + 2.79364i −0.292304 + 0.114721i −0.506962 0.861968i \(-0.669232\pi\)
0.214658 + 0.976689i \(0.431136\pi\)
\(594\) 0.498677 0.911119i 0.0204610 0.0373836i
\(595\) −10.3946 + 1.37743i −0.426136 + 0.0564691i
\(596\) 5.35114 + 44.2207i 0.219191 + 1.81135i
\(597\) −24.8597 7.66820i −1.01744 0.313839i
\(598\) 0.0865784 + 3.79460i 0.00354045 + 0.155173i
\(599\) −2.55986 8.29885i −0.104593 0.339082i 0.888116 0.459620i \(-0.152014\pi\)
−0.992709 + 0.120538i \(0.961538\pi\)
\(600\) 3.36134 + 1.64517i 0.137226 + 0.0671637i
\(601\) −3.77951 0.862648i −0.154169 0.0351882i 0.144740 0.989470i \(-0.453766\pi\)
−0.298909 + 0.954282i \(0.596623\pi\)
\(602\) 12.2767 + 15.2388i 0.500361 + 0.621089i
\(603\) 2.05004 0.467908i 0.0834841 0.0190547i
\(604\) −9.22145 6.68929i −0.375215 0.272183i
\(605\) 11.2993 16.5730i 0.459381 0.673789i
\(606\) −12.0025 + 15.7759i −0.487569 + 0.640851i
\(607\) 14.9090 25.8232i 0.605138 1.04813i −0.386891 0.922125i \(-0.626451\pi\)
0.992030 0.126005i \(-0.0402155\pi\)
\(608\) 21.3112 + 18.2708i 0.864284 + 0.740980i
\(609\) −4.47748 5.82494i −0.181436 0.236038i
\(610\) −34.1847 1.77878i −1.38410 0.0720208i
\(611\) −3.39490 4.97940i −0.137343 0.201445i
\(612\) 4.13184 + 0.120582i 0.167020 + 0.00487423i
\(613\) 11.5940 10.7576i 0.468276 0.434496i −0.410407 0.911902i \(-0.634613\pi\)
0.878683 + 0.477406i \(0.158423\pi\)
\(614\) 24.2686 37.4008i 0.979400 1.50937i
\(615\) −10.3995 5.00815i −0.419350 0.201948i
\(616\) 5.06603 + 2.13123i 0.204116 + 0.0858699i
\(617\) −27.9185 + 13.4449i −1.12396 + 0.541270i −0.901113 0.433584i \(-0.857249\pi\)
−0.222845 + 0.974854i \(0.571534\pi\)
\(618\) −1.97678 + 15.5077i −0.0795178 + 0.623810i
\(619\) 3.39247 + 5.87593i 0.136355 + 0.236173i 0.926114 0.377243i \(-0.123128\pi\)
−0.789759 + 0.613417i \(0.789795\pi\)
\(620\) 3.25013 + 16.4362i 0.130529 + 0.660093i
\(621\) −0.117547 0.779870i −0.00471698 0.0312951i
\(622\) −13.5245 18.8959i −0.542284 0.757656i
\(623\) −23.4495 + 1.33682i −0.939484 + 0.0535586i
\(624\) 2.81027 13.3188i 0.112501 0.533178i
\(625\) −1.24304 + 16.5872i −0.0497216 + 0.663489i
\(626\) −15.8767 19.0028i −0.634561 0.759506i
\(627\) −3.39262 1.33151i −0.135488 0.0531752i
\(628\) 2.01435 + 3.73662i 0.0803814 + 0.149108i
\(629\) −7.70783 6.14679i −0.307331 0.245089i
\(630\) −0.571641 7.15189i −0.0227747 0.284938i
\(631\) 11.5313 9.19592i 0.459055 0.366084i −0.366489 0.930422i \(-0.619440\pi\)
0.825543 + 0.564339i \(0.190869\pi\)
\(632\) 0.161742 25.4188i 0.00643373 1.01111i
\(633\) 6.94446 0.520415i 0.276017 0.0206846i
\(634\) 28.3011 7.14247i 1.12398 0.283664i
\(635\) −12.2139 11.3328i −0.484693 0.449730i
\(636\) −5.63488 + 5.72834i −0.223437 + 0.227143i
\(637\) −21.0417 + 11.1665i −0.833702 + 0.442433i
\(638\) −1.11470 2.66013i −0.0441314 0.105316i
\(639\) −7.11538 + 7.66856i −0.281480 + 0.303363i
\(640\) −10.6571 + 18.8962i −0.421258 + 0.746939i
\(641\) 2.18443 + 29.1492i 0.0862797 + 1.15132i 0.857406 + 0.514640i \(0.172075\pi\)
−0.771126 + 0.636682i \(0.780306\pi\)
\(642\) 17.3154 16.8175i 0.683385 0.663732i
\(643\) −12.3509 15.4875i −0.487071 0.610768i 0.476187 0.879344i \(-0.342018\pi\)
−0.963259 + 0.268576i \(0.913447\pi\)
\(644\) 4.04131 1.04127i 0.159250 0.0410317i
\(645\) 6.25274 7.84068i 0.246201 0.308727i
\(646\) −1.41355 14.4353i −0.0556156 0.567950i
\(647\) −2.82928 + 7.20888i −0.111230 + 0.283410i −0.975640 0.219378i \(-0.929597\pi\)
0.864410 + 0.502788i \(0.167692\pi\)
\(648\) −0.229311 + 2.81912i −0.00900819 + 0.110745i
\(649\) −0.216939 0.0162573i −0.00851559 0.000638156i
\(650\) −6.27323 + 1.09242i −0.246056 + 0.0428484i
\(651\) −8.61213 + 7.70940i −0.337536 + 0.302155i
\(652\) −1.66924 + 2.70573i −0.0653725 + 0.105964i
\(653\) 20.6234 3.10848i 0.807056 0.121644i 0.267461 0.963569i \(-0.413815\pi\)
0.539595 + 0.841925i \(0.318577\pi\)
\(654\) 27.4568 + 5.61115i 1.07365 + 0.219413i
\(655\) −24.8852 + 14.3675i −0.972345 + 0.561384i
\(656\) −11.6945 + 21.0476i −0.456593 + 0.821769i
\(657\) −3.33321 6.92147i −0.130041 0.270032i
\(658\) −4.48290 + 4.87973i −0.174762 + 0.190232i
\(659\) −15.5020 + 32.1903i −0.603873 + 1.25396i 0.345090 + 0.938570i \(0.387848\pi\)
−0.948963 + 0.315386i \(0.897866\pi\)
\(660\) 0.500863 2.77173i 0.0194961 0.107889i
\(661\) −11.4714 12.3632i −0.446184 0.480872i 0.469407 0.882982i \(-0.344468\pi\)
−0.915592 + 0.402110i \(0.868277\pi\)
\(662\) 19.8376 + 9.00178i 0.771012 + 0.349864i
\(663\) −5.81121 + 3.96202i −0.225689 + 0.153872i
\(664\) −19.4202 + 17.7907i −0.753649 + 0.690412i
\(665\) −24.6402 + 5.16297i −0.955505 + 0.200211i
\(666\) 4.47434 5.04842i 0.173377 0.195622i
\(667\) −1.89666 1.09504i −0.0734389 0.0424000i
\(668\) 27.0904 + 7.02056i 1.04816 + 0.271634i
\(669\) −10.1661 6.93112i −0.393044 0.267973i
\(670\) 4.87195 2.96302i 0.188220 0.114471i
\(671\) −2.06298 9.03849i −0.0796403 0.348927i
\(672\) −14.9632 + 0.320390i −0.577218 + 0.0123593i
\(673\) 6.44899 28.2549i 0.248590 1.08915i −0.684361 0.729143i \(-0.739919\pi\)
0.932951 0.360002i \(-0.117224\pi\)
\(674\) 14.1317 + 42.3581i 0.544331 + 1.63157i
\(675\) 1.26434 0.389997i 0.0486644 0.0150110i
\(676\) −1.15668 2.59274i −0.0444876 0.0997209i
\(677\) −0.953007 + 3.08957i −0.0366270 + 0.118742i −0.972040 0.234815i \(-0.924552\pi\)
0.935413 + 0.353557i \(0.115028\pi\)
\(678\) 2.01064 7.08854i 0.0772181 0.272234i
\(679\) −22.2158 + 8.26448i −0.852563 + 0.317162i
\(680\) 10.7322 3.23581i 0.411562 0.124088i
\(681\) −3.61908 9.22126i −0.138683 0.353359i
\(682\) −4.04234 + 2.06157i −0.154789 + 0.0789416i
\(683\) 1.41503 9.38809i 0.0541445 0.359225i −0.945309 0.326175i \(-0.894240\pi\)
0.999454 0.0330497i \(-0.0105219\pi\)
\(684\) 9.91433 0.452651i 0.379084 0.0173076i
\(685\) 2.61333i 0.0998502i
\(686\) 17.2162 + 19.7384i 0.657316 + 0.753615i
\(687\) 20.5912i 0.785602i
\(688\) −15.5674 13.9750i −0.593502 0.532793i
\(689\) 2.03772 13.5194i 0.0776308 0.515047i
\(690\) −0.971670 1.90526i −0.0369909 0.0725319i
\(691\) −11.5363 29.3939i −0.438860 1.11820i −0.963698 0.266995i \(-0.913969\pi\)
0.524837 0.851202i \(-0.324126\pi\)
\(692\) −1.42037 + 13.6114i −0.0539943 + 0.517428i
\(693\) 1.82122 0.677510i 0.0691824 0.0257365i
\(694\) 33.5591 + 9.51892i 1.27389 + 0.361333i
\(695\) −6.69986 + 21.7204i −0.254140 + 0.823902i
\(696\) 5.72344 + 5.37875i 0.216947 + 0.203881i
\(697\) 11.8885 3.66711i 0.450308 0.138902i
\(698\) −35.7074 + 11.9128i −1.35154 + 0.450907i
\(699\) 0.00540617 0.0236860i 0.000204480 0.000895886i
\(700\) 2.73785 + 6.44379i 0.103481 + 0.243552i
\(701\) −9.39742 41.1728i −0.354936 1.55507i −0.765618 0.643296i \(-0.777567\pi\)
0.410682 0.911779i \(-0.365291\pi\)
\(702\) −2.50073 4.11185i −0.0943841 0.155192i
\(703\) −19.5574 13.3340i −0.737623 0.502903i
\(704\) −5.71114 1.38022i −0.215247 0.0520191i
\(705\) 2.94089 + 1.69792i 0.110760 + 0.0639475i
\(706\) −7.80479 6.91727i −0.293737 0.260335i
\(707\) −36.2966 + 7.60540i −1.36507 + 0.286030i
\(708\) 0.557541 0.200254i 0.0209537 0.00752600i
\(709\) −2.66470 + 1.81676i −0.100075 + 0.0682300i −0.612324 0.790607i \(-0.709765\pi\)
0.512249 + 0.858837i \(0.328813\pi\)
\(710\) −11.7223 + 25.8331i −0.439932 + 0.969498i
\(711\) −6.11277 6.58800i −0.229247 0.247069i
\(712\) 24.5148 5.43146i 0.918730 0.203553i
\(713\) −1.49497 + 3.10435i −0.0559873 + 0.116259i
\(714\) 5.69489 + 5.23177i 0.213126 + 0.195794i
\(715\) 2.07938 + 4.31789i 0.0777646 + 0.161480i
\(716\) 13.6952 3.79061i 0.511814 0.141662i
\(717\) −5.68765 + 3.28376i −0.212409 + 0.122634i
\(718\) 2.11346 10.3417i 0.0788735 0.385948i
\(719\) 48.8864 7.36844i 1.82316 0.274797i 0.853826 0.520558i \(-0.174276\pi\)
0.969330 + 0.245762i \(0.0790381\pi\)
\(720\) 1.82952 + 7.44868i 0.0681822 + 0.277596i
\(721\) −21.7913 + 19.5071i −0.811549 + 0.726482i
\(722\) −1.36468 7.83662i −0.0507880 0.291649i
\(723\) −14.0392 1.05209i −0.522122 0.0391276i
\(724\) −30.3858 15.7410i −1.12928 0.585011i
\(725\) 1.34232 3.42018i 0.0498526 0.127022i
\(726\) −14.7231 + 1.44173i −0.546425 + 0.0535078i
\(727\) 21.0258 26.3655i 0.779804 0.977844i −0.220193 0.975456i \(-0.570669\pi\)
0.999997 0.00238745i \(-0.000759951\pi\)
\(728\) 20.2886 15.3909i 0.751945 0.570425i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) −14.5144 14.9442i −0.537203 0.553109i
\(731\) 0.807783 + 10.7791i 0.0298769 + 0.398680i
\(732\) 15.1582 + 20.1890i 0.560264 + 0.746207i
\(733\) 17.1699 18.5048i 0.634187 0.683491i −0.331424 0.943482i \(-0.607529\pi\)
0.965611 + 0.259991i \(0.0837197\pi\)
\(734\) 46.2001 19.3597i 1.70528 0.714579i
\(735\) 7.95232 10.8133i 0.293326 0.398855i
\(736\) −4.08586 + 1.79171i −0.150607 + 0.0660431i
\(737\) 1.13210 + 1.05043i 0.0417013 + 0.0386932i
\(738\) 2.08313 + 8.25413i 0.0766810 + 0.303839i
\(739\) −41.3593 + 3.09945i −1.52143 + 0.114015i −0.809032 0.587765i \(-0.800008\pi\)
−0.712394 + 0.701780i \(0.752389\pi\)
\(740\) 7.17717 16.8265i 0.263838 0.618554i
\(741\) −13.2027 + 10.5288i −0.485012 + 0.386785i
\(742\) −14.9848 + 1.19772i −0.550111 + 0.0439696i
\(743\) 23.3849 + 18.6489i 0.857910 + 0.684160i 0.950223 0.311570i \(-0.100855\pi\)
−0.0923137 + 0.995730i \(0.529426\pi\)
\(744\) 7.76564 9.61170i 0.284702 0.352382i
\(745\) 39.7541 + 15.6023i 1.45648 + 0.571626i
\(746\) 5.13560 4.29075i 0.188028 0.157096i
\(747\) −0.695859 + 9.28559i −0.0254601 + 0.339742i
\(748\) 1.63628 + 2.55720i 0.0598284 + 0.0935003i
\(749\) 45.0852 2.57024i 1.64738 0.0939144i
\(750\) 13.9434 9.97986i 0.509142 0.364413i
\(751\) −6.59168 43.7329i −0.240534 1.59584i −0.704315 0.709887i \(-0.748746\pi\)
0.463781 0.885950i \(-0.346492\pi\)
\(752\) 3.89365 5.91779i 0.141987 0.215799i
\(753\) −6.71748 11.6350i −0.244799 0.424004i
\(754\) −13.2567 1.68985i −0.482781 0.0615407i
\(755\) −9.84070 + 4.73903i −0.358140 + 0.172471i
\(756\) −3.77751 + 3.70546i −0.137387 + 0.134766i
\(757\) 26.1725 + 12.6040i 0.951255 + 0.458100i 0.844126 0.536145i \(-0.180120\pi\)
0.107129 + 0.994245i \(0.465834\pi\)
\(758\) −41.5446 26.9574i −1.50897 0.979137i
\(759\) 0.424613 0.393984i 0.0154125 0.0143007i
\(760\) 25.1151 9.67300i 0.911022 0.350877i
\(761\) −20.0556 29.4162i −0.727016 1.06634i −0.994699 0.102830i \(-0.967210\pi\)
0.267683 0.963507i \(-0.413742\pi\)
\(762\) −0.638555 + 12.2718i −0.0231324 + 0.444560i
\(763\) 31.9518 + 41.5674i 1.15673 + 1.50484i
\(764\) 36.9124 + 12.5764i 1.33544 + 0.454999i
\(765\) 1.98156 3.43217i 0.0716435 0.124090i
\(766\) −26.8999 20.4658i −0.971933 0.739460i
\(767\) −0.567823 + 0.832843i −0.0205029 + 0.0300722i
\(768\) 15.7343 2.90379i 0.567762 0.104782i
\(769\) 34.8479 7.95381i 1.25665 0.286822i 0.458181 0.888859i \(-0.348501\pi\)
0.798468 + 0.602037i \(0.205644\pi\)
\(770\) 4.10345 3.30582i 0.147878 0.119133i