Properties

Label 224.2.bd.a.37.8
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.8
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.940911 + 1.05579i) q^{2} +(-1.04486 + 1.36169i) q^{3} +(-0.229373 - 1.98680i) q^{4} +(1.80014 - 1.38129i) q^{5} +(-0.454533 - 2.38438i) q^{6} +(2.29881 + 1.30976i) q^{7} +(2.31346 + 1.62724i) q^{8} +(0.0139922 + 0.0522197i) q^{9} +O(q^{10})\) \(q+(-0.940911 + 1.05579i) q^{2} +(-1.04486 + 1.36169i) q^{3} +(-0.229373 - 1.98680i) q^{4} +(1.80014 - 1.38129i) q^{5} +(-0.454533 - 2.38438i) q^{6} +(2.29881 + 1.30976i) q^{7} +(2.31346 + 1.62724i) q^{8} +(0.0139922 + 0.0522197i) q^{9} +(-0.235417 + 3.20024i) q^{10} +(-0.940800 + 0.123859i) q^{11} +(2.94507 + 1.76360i) q^{12} +(2.44244 - 1.01169i) q^{13} +(-3.54580 + 1.19469i) q^{14} +3.89449i q^{15} +(-3.89478 + 0.911438i) q^{16} +(0.0434878 - 0.0251077i) q^{17} +(-0.0682984 - 0.0343613i) q^{18} +(-0.771600 + 5.86089i) q^{19} +(-3.15726 - 3.25969i) q^{20} +(-4.18543 + 1.76175i) q^{21} +(0.754441 - 1.10982i) q^{22} +(-0.0591965 - 0.220924i) q^{23} +(-4.63304 + 1.44998i) q^{24} +(0.0384260 - 0.143408i) q^{25} +(-1.22999 + 3.53060i) q^{26} +(-4.84289 - 2.00599i) q^{27} +(2.07495 - 4.86771i) q^{28} +(-0.876670 - 2.11647i) q^{29} +(-4.11175 - 3.66437i) q^{30} +(4.67044 + 8.08944i) q^{31} +(2.70235 - 4.96964i) q^{32} +(0.814349 - 1.41049i) q^{33} +(-0.0144098 + 0.0695380i) q^{34} +(5.94734 - 0.817591i) q^{35} +(0.100541 - 0.0397776i) q^{36} +(4.71785 - 3.62013i) q^{37} +(-5.46184 - 6.32922i) q^{38} +(-1.17440 + 4.38292i) q^{39} +(6.41224 - 0.266321i) q^{40} +(1.81397 - 1.81397i) q^{41} +(2.07808 - 6.07657i) q^{42} +(3.88053 - 9.36842i) q^{43} +(0.461877 + 1.84078i) q^{44} +(0.0973188 + 0.0746753i) q^{45} +(0.288948 + 0.145371i) q^{46} +(5.15262 + 2.97487i) q^{47} +(2.82841 - 6.25581i) q^{48} +(3.56907 + 6.02177i) q^{49} +(0.115253 + 0.175504i) q^{50} +(-0.0112499 + 0.0854511i) q^{51} +(-2.57026 - 4.62059i) q^{52} +(-12.4313 + 1.63662i) q^{53} +(6.67463 - 3.22560i) q^{54} +(-1.52248 + 1.52248i) q^{55} +(3.18693 + 6.77078i) q^{56} +(-7.17450 - 7.17450i) q^{57} +(3.05941 + 1.06583i) q^{58} +(-1.13971 - 8.65692i) q^{59} +(7.73759 - 0.893291i) q^{60} +(-1.78778 - 0.235366i) q^{61} +(-12.9352 - 2.68045i) q^{62} +(-0.0362297 + 0.138370i) q^{63} +(2.70420 + 7.52910i) q^{64} +(2.99928 - 5.19490i) q^{65} +(0.722951 + 2.18693i) q^{66} +(4.75222 - 6.19321i) q^{67} +(-0.0598590 - 0.0806428i) q^{68} +(0.362683 + 0.150228i) q^{69} +(-4.73271 + 7.04840i) q^{70} +(-7.65167 - 7.65167i) q^{71} +(-0.0526034 + 0.143577i) q^{72} +(0.769926 + 0.206301i) q^{73} +(-0.616986 + 8.38727i) q^{74} +(0.155127 + 0.202166i) q^{75} +(11.8214 + 0.188690i) q^{76} +(-2.32495 - 0.947492i) q^{77} +(-3.52242 - 5.36385i) q^{78} +(-10.5808 - 6.10885i) q^{79} +(-5.75217 + 7.02054i) q^{80} +(7.65124 - 4.41745i) q^{81} +(0.208382 + 3.62196i) q^{82} +(-13.0219 + 5.39387i) q^{83} +(4.46028 + 7.91152i) q^{84} +(0.0436030 - 0.105267i) q^{85} +(6.23983 + 12.9119i) q^{86} +(3.79797 + 1.01766i) q^{87} +(-2.37805 - 1.24436i) q^{88} +(-2.08390 + 0.558378i) q^{89} +(-0.170410 + 0.0324851i) q^{90} +(6.93977 + 0.873315i) q^{91} +(-0.425355 + 0.168286i) q^{92} +(-15.8953 - 2.09265i) q^{93} +(-7.98898 + 2.64099i) q^{94} +(6.70662 + 11.6162i) q^{95} +(3.94352 + 8.87235i) q^{96} +18.1541 q^{97} +(-9.71589 - 1.89777i) q^{98} +(-0.0196318 - 0.0473953i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.940911 + 1.05579i −0.665325 + 0.746554i
\(3\) −1.04486 + 1.36169i −0.603251 + 0.786172i −0.990750 0.135698i \(-0.956672\pi\)
0.387499 + 0.921870i \(0.373339\pi\)
\(4\) −0.229373 1.98680i −0.114686 0.993402i
\(5\) 1.80014 1.38129i 0.805046 0.617733i −0.122064 0.992522i \(-0.538951\pi\)
0.927110 + 0.374789i \(0.122285\pi\)
\(6\) −0.454533 2.38438i −0.185562 0.973420i
\(7\) 2.29881 + 1.30976i 0.868869 + 0.495042i
\(8\) 2.31346 + 1.62724i 0.817932 + 0.575315i
\(9\) 0.0139922 + 0.0522197i 0.00466408 + 0.0174066i
\(10\) −0.235417 + 3.20024i −0.0744453 + 1.01200i
\(11\) −0.940800 + 0.123859i −0.283662 + 0.0373448i −0.271015 0.962575i \(-0.587359\pi\)
−0.0126472 + 0.999920i \(0.504026\pi\)
\(12\) 2.94507 + 1.76360i 0.850170 + 0.509108i
\(13\) 2.44244 1.01169i 0.677410 0.280592i −0.0173337 0.999850i \(-0.505518\pi\)
0.694744 + 0.719257i \(0.255518\pi\)
\(14\) −3.54580 + 1.19469i −0.947656 + 0.319294i
\(15\) 3.89449i 1.00555i
\(16\) −3.89478 + 0.911438i −0.973694 + 0.227859i
\(17\) 0.0434878 0.0251077i 0.0105474 0.00608952i −0.494717 0.869054i \(-0.664728\pi\)
0.505264 + 0.862965i \(0.331395\pi\)
\(18\) −0.0682984 0.0343613i −0.0160981 0.00809904i
\(19\) −0.771600 + 5.86089i −0.177017 + 1.34458i 0.640182 + 0.768224i \(0.278859\pi\)
−0.817199 + 0.576356i \(0.804474\pi\)
\(20\) −3.15726 3.25969i −0.705985 0.728888i
\(21\) −4.18543 + 1.76175i −0.913335 + 0.384446i
\(22\) 0.754441 1.10982i 0.160847 0.236615i
\(23\) −0.0591965 0.220924i −0.0123433 0.0460659i 0.959480 0.281778i \(-0.0909243\pi\)
−0.971823 + 0.235712i \(0.924258\pi\)
\(24\) −4.63304 + 1.44998i −0.945715 + 0.295976i
\(25\) 0.0384260 0.143408i 0.00768520 0.0286816i
\(26\) −1.22999 + 3.53060i −0.241220 + 0.692408i
\(27\) −4.84289 2.00599i −0.932015 0.386053i
\(28\) 2.07495 4.86771i 0.392128 0.919911i
\(29\) −0.876670 2.11647i −0.162793 0.393018i 0.821342 0.570436i \(-0.193226\pi\)
−0.984136 + 0.177418i \(0.943226\pi\)
\(30\) −4.11175 3.66437i −0.750700 0.669019i
\(31\) 4.67044 + 8.08944i 0.838836 + 1.45291i 0.890868 + 0.454262i \(0.150097\pi\)
−0.0520321 + 0.998645i \(0.516570\pi\)
\(32\) 2.70235 4.96964i 0.477713 0.878516i
\(33\) 0.814349 1.41049i 0.141760 0.245535i
\(34\) −0.0144098 + 0.0695380i −0.00247126 + 0.0119257i
\(35\) 5.94734 0.817591i 1.00528 0.138198i
\(36\) 0.100541 0.0397776i 0.0167568 0.00662960i
\(37\) 4.71785 3.62013i 0.775609 0.595146i −0.143270 0.989684i \(-0.545762\pi\)
0.918880 + 0.394538i \(0.129095\pi\)
\(38\) −5.46184 6.32922i −0.886027 1.02673i
\(39\) −1.17440 + 4.38292i −0.188054 + 0.701829i
\(40\) 6.41224 0.266321i 1.01386 0.0421090i
\(41\) 1.81397 1.81397i 0.283295 0.283295i −0.551127 0.834422i \(-0.685802\pi\)
0.834422 + 0.551127i \(0.185802\pi\)
\(42\) 2.07808 6.07657i 0.320654 0.937636i
\(43\) 3.88053 9.36842i 0.591775 1.42867i −0.290012 0.957023i \(-0.593659\pi\)
0.881787 0.471648i \(-0.156341\pi\)
\(44\) 0.461877 + 1.84078i 0.0696306 + 0.277507i
\(45\) 0.0973188 + 0.0746753i 0.0145074 + 0.0111319i
\(46\) 0.288948 + 0.145371i 0.0426030 + 0.0214338i
\(47\) 5.15262 + 2.97487i 0.751587 + 0.433929i 0.826267 0.563279i \(-0.190460\pi\)
−0.0746801 + 0.997208i \(0.523794\pi\)
\(48\) 2.82841 6.25581i 0.408245 0.902948i
\(49\) 3.56907 + 6.02177i 0.509867 + 0.860253i
\(50\) 0.115253 + 0.175504i 0.0162992 + 0.0248200i
\(51\) −0.0112499 + 0.0854511i −0.00157529 + 0.0119655i
\(52\) −2.57026 4.62059i −0.356431 0.640760i
\(53\) −12.4313 + 1.63662i −1.70758 + 0.224807i −0.920140 0.391589i \(-0.871926\pi\)
−0.787437 + 0.616396i \(0.788592\pi\)
\(54\) 6.67463 3.22560i 0.908303 0.438949i
\(55\) −1.52248 + 1.52248i −0.205292 + 0.205292i
\(56\) 3.18693 + 6.77078i 0.425871 + 0.904784i
\(57\) −7.17450 7.17450i −0.950285 0.950285i
\(58\) 3.05941 + 1.06583i 0.401720 + 0.139951i
\(59\) −1.13971 8.65692i −0.148377 1.12704i −0.889916 0.456125i \(-0.849237\pi\)
0.741539 0.670910i \(-0.234096\pi\)
\(60\) 7.73759 0.893291i 0.998918 0.115323i
\(61\) −1.78778 0.235366i −0.228902 0.0301355i 0.0152027 0.999884i \(-0.495161\pi\)
−0.244104 + 0.969749i \(0.578494\pi\)
\(62\) −12.9352 2.68045i −1.64277 0.340418i
\(63\) −0.0362297 + 0.138370i −0.00456451 + 0.0174330i
\(64\) 2.70420 + 7.52910i 0.338025 + 0.941137i
\(65\) 2.99928 5.19490i 0.372015 0.644349i
\(66\) 0.722951 + 2.18693i 0.0889892 + 0.269192i
\(67\) 4.75222 6.19321i 0.580576 0.756621i −0.407058 0.913403i \(-0.633445\pi\)
0.987633 + 0.156781i \(0.0501118\pi\)
\(68\) −0.0598590 0.0806428i −0.00725898 0.00977937i
\(69\) 0.362683 + 0.150228i 0.0436619 + 0.0180853i
\(70\) −4.73271 + 7.04840i −0.565667 + 0.842445i
\(71\) −7.65167 7.65167i −0.908086 0.908086i 0.0880320 0.996118i \(-0.471942\pi\)
−0.996118 + 0.0880320i \(0.971942\pi\)
\(72\) −0.0526034 + 0.143577i −0.00619937 + 0.0169207i
\(73\) 0.769926 + 0.206301i 0.0901130 + 0.0241457i 0.303594 0.952802i \(-0.401813\pi\)
−0.213481 + 0.976947i \(0.568480\pi\)
\(74\) −0.616986 + 8.38727i −0.0717232 + 0.975000i
\(75\) 0.155127 + 0.202166i 0.0179125 + 0.0233441i
\(76\) 11.8214 + 0.188690i 1.35601 + 0.0216442i
\(77\) −2.32495 0.947492i −0.264952 0.107977i
\(78\) −3.52242 5.36385i −0.398836 0.607337i
\(79\) −10.5808 6.10885i −1.19044 0.687299i −0.232032 0.972708i \(-0.574537\pi\)
−0.958406 + 0.285409i \(0.907871\pi\)
\(80\) −5.75217 + 7.02054i −0.643112 + 0.784921i
\(81\) 7.65124 4.41745i 0.850138 0.490827i
\(82\) 0.208382 + 3.62196i 0.0230120 + 0.399978i
\(83\) −13.0219 + 5.39387i −1.42934 + 0.592054i −0.957189 0.289462i \(-0.906524\pi\)
−0.472154 + 0.881516i \(0.656524\pi\)
\(84\) 4.46028 + 7.91152i 0.486657 + 0.863218i
\(85\) 0.0436030 0.105267i 0.00472940 0.0114178i
\(86\) 6.23983 + 12.9119i 0.672858 + 1.39232i
\(87\) 3.79797 + 1.01766i 0.407185 + 0.109105i
\(88\) −2.37805 1.24436i −0.253501 0.132649i
\(89\) −2.08390 + 0.558378i −0.220892 + 0.0591880i −0.367568 0.929997i \(-0.619809\pi\)
0.146675 + 0.989185i \(0.453143\pi\)
\(90\) −0.170410 + 0.0324851i −0.0179627 + 0.00342423i
\(91\) 6.93977 + 0.873315i 0.727486 + 0.0915482i
\(92\) −0.425355 + 0.168286i −0.0443463 + 0.0175450i
\(93\) −15.8953 2.09265i −1.64826 0.216998i
\(94\) −7.98898 + 2.64099i −0.824001 + 0.272397i
\(95\) 6.70662 + 11.6162i 0.688085 + 1.19180i
\(96\) 3.94352 + 8.87235i 0.402484 + 0.905531i
\(97\) 18.1541 1.84327 0.921633 0.388063i \(-0.126856\pi\)
0.921633 + 0.388063i \(0.126856\pi\)
\(98\) −9.71589 1.89777i −0.981453 0.191704i
\(99\) −0.0196318 0.0473953i −0.00197307 0.00476341i
\(100\) −0.293737 0.0434511i −0.0293737 0.00434511i
\(101\) −0.817611 6.21037i −0.0813554 0.617955i −0.982748 0.184952i \(-0.940787\pi\)
0.901392 0.433004i \(-0.142546\pi\)
\(102\) −0.0796331 0.0922793i −0.00788485 0.00913702i
\(103\) −0.407621 + 0.109222i −0.0401641 + 0.0107619i −0.278845 0.960336i \(-0.589952\pi\)
0.238681 + 0.971098i \(0.423285\pi\)
\(104\) 7.29674 + 1.63392i 0.715504 + 0.160219i
\(105\) −5.10084 + 8.95270i −0.497791 + 0.873694i
\(106\) 9.96887 14.6648i 0.968262 1.42437i
\(107\) −5.19947 6.77608i −0.502652 0.655069i 0.471260 0.881994i \(-0.343799\pi\)
−0.973912 + 0.226926i \(0.927133\pi\)
\(108\) −2.87468 + 10.0820i −0.276617 + 0.970141i
\(109\) −5.45362 4.18471i −0.522362 0.400822i 0.313646 0.949540i \(-0.398450\pi\)
−0.836008 + 0.548718i \(0.815116\pi\)
\(110\) −0.174897 3.03994i −0.0166758 0.289847i
\(111\) 10.2068i 0.968786i
\(112\) −10.1471 3.00599i −0.958813 0.284039i
\(113\) 17.1078i 1.60937i −0.593705 0.804683i \(-0.702335\pi\)
0.593705 0.804683i \(-0.297665\pi\)
\(114\) 14.3253 0.824178i 1.34169 0.0771914i
\(115\) −0.411723 0.315926i −0.0383934 0.0294603i
\(116\) −4.00392 + 2.22723i −0.371755 + 0.206793i
\(117\) 0.0870054 + 0.113388i 0.00804365 + 0.0104827i
\(118\) 10.2122 + 6.94211i 0.940112 + 0.639073i
\(119\) 0.132855 0.000759378i 0.0121788 6.96120e-5i
\(120\) −6.33726 + 9.00975i −0.578510 + 0.822474i
\(121\) −9.75542 + 2.61396i −0.886856 + 0.237632i
\(122\) 1.93064 1.66606i 0.174792 0.150838i
\(123\) 0.574719 + 4.36542i 0.0518206 + 0.393617i
\(124\) 15.0009 11.1348i 1.34712 0.999930i
\(125\) 4.21267 + 10.1703i 0.376793 + 0.909658i
\(126\) −0.112000 0.168445i −0.00997777 0.0150062i
\(127\) −3.31241 −0.293928 −0.146964 0.989142i \(-0.546950\pi\)
−0.146964 + 0.989142i \(0.546950\pi\)
\(128\) −10.4935 4.22915i −0.927506 0.373807i
\(129\) 8.70228 + 15.0728i 0.766193 + 1.32708i
\(130\) 2.66266 + 8.05454i 0.233531 + 0.706430i
\(131\) 3.93085 + 0.517506i 0.343440 + 0.0452147i 0.300273 0.953853i \(-0.402922\pi\)
0.0431665 + 0.999068i \(0.486255\pi\)
\(132\) −2.98916 1.29442i −0.260173 0.112665i
\(133\) −9.45010 + 12.4625i −0.819428 + 1.08063i
\(134\) 2.06730 + 10.8446i 0.178587 + 0.936830i
\(135\) −11.4887 + 3.07840i −0.988793 + 0.264946i
\(136\) 0.141464 + 0.0126793i 0.0121304 + 0.00108724i
\(137\) 10.0344 + 2.68870i 0.857294 + 0.229711i 0.660585 0.750751i \(-0.270308\pi\)
0.196708 + 0.980462i \(0.436975\pi\)
\(138\) −0.499861 + 0.241565i −0.0425510 + 0.0205633i
\(139\) 0.721994 1.74305i 0.0612387 0.147843i −0.890298 0.455378i \(-0.849504\pi\)
0.951537 + 0.307535i \(0.0995041\pi\)
\(140\) −2.98855 11.6287i −0.252579 0.982801i
\(141\) −9.43463 + 3.90795i −0.794539 + 0.329109i
\(142\) 15.2781 0.878993i 1.28211 0.0737635i
\(143\) −2.17254 + 1.25432i −0.181677 + 0.104891i
\(144\) −0.102092 0.190631i −0.00850764 0.0158859i
\(145\) −4.50159 2.59899i −0.373837 0.215835i
\(146\) −0.942242 + 0.618767i −0.0779805 + 0.0512095i
\(147\) −11.9290 1.43195i −0.983885 0.118105i
\(148\) −8.27464 8.54308i −0.680171 0.702237i
\(149\) 10.5975 + 13.8109i 0.868180 + 1.13143i 0.990304 + 0.138920i \(0.0443630\pi\)
−0.122123 + 0.992515i \(0.538970\pi\)
\(150\) −0.359405 0.0264386i −0.0293453 0.00215871i
\(151\) 0.571811 + 0.153216i 0.0465333 + 0.0124686i 0.282011 0.959411i \(-0.408999\pi\)
−0.235477 + 0.971880i \(0.575665\pi\)
\(152\) −11.3221 + 12.3034i −0.918345 + 0.997934i
\(153\) 0.00191961 + 0.00191961i 0.000155191 + 0.000155191i
\(154\) 3.18792 1.56314i 0.256890 0.125962i
\(155\) 19.5813 + 8.11086i 1.57281 + 0.651480i
\(156\) 8.97738 + 1.32798i 0.718765 + 0.106323i
\(157\) 12.4540 16.2303i 0.993935 1.29532i 0.0387694 0.999248i \(-0.487656\pi\)
0.955165 0.296073i \(-0.0956771\pi\)
\(158\) 16.4053 5.42323i 1.30513 0.431449i
\(159\) 10.7605 18.6377i 0.853361 1.47806i
\(160\) −1.99992 12.6788i −0.158108 1.00234i
\(161\) 0.153276 0.585396i 0.0120798 0.0461357i
\(162\) −2.53525 + 12.2345i −0.199188 + 0.961233i
\(163\) −10.3097 1.35730i −0.807521 0.106312i −0.284548 0.958662i \(-0.591844\pi\)
−0.522972 + 0.852350i \(0.675177\pi\)
\(164\) −4.02008 3.18793i −0.313916 0.248936i
\(165\) −0.482367 3.66394i −0.0375522 0.285237i
\(166\) 6.55772 18.8235i 0.508977 1.46099i
\(167\) −6.21642 6.21642i −0.481041 0.481041i 0.424423 0.905464i \(-0.360477\pi\)
−0.905464 + 0.424423i \(0.860477\pi\)
\(168\) −12.5496 2.73493i −0.968223 0.211004i
\(169\) −4.25041 + 4.25041i −0.326955 + 0.326955i
\(170\) 0.0701129 + 0.145082i 0.00537741 + 0.0111273i
\(171\) −0.316850 + 0.0417141i −0.0242302 + 0.00318996i
\(172\) −19.5033 5.56098i −1.48711 0.424021i
\(173\) −0.778550 + 5.91368i −0.0591921 + 0.449609i 0.936026 + 0.351931i \(0.114475\pi\)
−0.995218 + 0.0976777i \(0.968859\pi\)
\(174\) −4.64799 + 3.05232i −0.352363 + 0.231396i
\(175\) 0.276164 0.279339i 0.0208760 0.0211160i
\(176\) 3.55132 1.33988i 0.267691 0.100997i
\(177\) 12.9789 + 7.49336i 0.975553 + 0.563236i
\(178\) 1.37123 2.72553i 0.102778 0.204287i
\(179\) −10.4355 8.00741i −0.779983 0.598502i 0.140140 0.990132i \(-0.455245\pi\)
−0.920123 + 0.391630i \(0.871911\pi\)
\(180\) 0.126043 0.210482i 0.00939468 0.0156884i
\(181\) −9.30204 + 22.4571i −0.691415 + 1.66922i 0.0504948 + 0.998724i \(0.483920\pi\)
−0.741910 + 0.670500i \(0.766080\pi\)
\(182\) −7.45174 + 6.50521i −0.552360 + 0.482198i
\(183\) 2.18848 2.18848i 0.161777 0.161777i
\(184\) 0.222547 0.607427i 0.0164064 0.0447801i
\(185\) 3.49231 13.0335i 0.256760 0.958240i
\(186\) 17.1654 14.8130i 1.25863 1.08614i
\(187\) −0.0378036 + 0.0290077i −0.00276447 + 0.00212125i
\(188\) 4.72860 10.9196i 0.344869 0.796394i
\(189\) −8.50554 10.9544i −0.618687 0.796817i
\(190\) −18.5746 3.84905i −1.34754 0.279240i
\(191\) 12.2545 21.2254i 0.886705 1.53582i 0.0429586 0.999077i \(-0.486322\pi\)
0.843747 0.536742i \(-0.180345\pi\)
\(192\) −13.0778 4.18458i −0.943810 0.301996i
\(193\) −7.24339 12.5459i −0.521391 0.903075i −0.999690 0.0248786i \(-0.992080\pi\)
0.478300 0.878197i \(-0.341253\pi\)
\(194\) −17.0814 + 19.1668i −1.22637 + 1.37610i
\(195\) 3.94002 + 9.51205i 0.282151 + 0.681172i
\(196\) 11.1454 8.47227i 0.796102 0.605162i
\(197\) 24.0632 + 9.96730i 1.71443 + 0.710141i 0.999945 + 0.0104922i \(0.00333983\pi\)
0.714487 + 0.699649i \(0.246660\pi\)
\(198\) 0.0685111 + 0.0238678i 0.00486887 + 0.00169621i
\(199\) 3.13222 11.6896i 0.222038 0.828655i −0.761532 0.648127i \(-0.775553\pi\)
0.983570 0.180528i \(-0.0577807\pi\)
\(200\) 0.322255 0.269240i 0.0227869 0.0190382i
\(201\) 3.46783 + 12.9421i 0.244602 + 0.912865i
\(202\) 7.32613 + 4.98019i 0.515465 + 0.350405i
\(203\) 0.756761 6.01359i 0.0531142 0.422071i
\(204\) 0.172355 + 0.00275108i 0.0120673 + 0.000192614i
\(205\) 0.759770 5.77103i 0.0530647 0.403066i
\(206\) 0.268220 0.533128i 0.0186878 0.0371448i
\(207\) 0.0107083 0.00618245i 0.000744280 0.000429710i
\(208\) −8.59065 + 6.16644i −0.595654 + 0.427565i
\(209\) 5.60949i 0.388017i
\(210\) −4.65271 13.8091i −0.321068 0.952918i
\(211\) 9.72932 4.03002i 0.669794 0.277438i −0.0217592 0.999763i \(-0.506927\pi\)
0.691553 + 0.722325i \(0.256927\pi\)
\(212\) 6.10305 + 24.3232i 0.419159 + 1.67053i
\(213\) 18.4141 2.42427i 1.26172 0.166108i
\(214\) 12.0463 + 0.886156i 0.823471 + 0.0605764i
\(215\) −5.95506 22.2246i −0.406132 1.51570i
\(216\) −7.93962 12.5213i −0.540223 0.851968i
\(217\) 0.141257 + 24.7133i 0.00958912 + 1.67765i
\(218\) 9.54953 1.82042i 0.646776 0.123295i
\(219\) −1.08538 + 0.832845i −0.0733435 + 0.0562784i
\(220\) 3.37409 + 2.67566i 0.227481 + 0.180393i
\(221\) 0.0808151 0.105320i 0.00543621 0.00708461i
\(222\) −10.7762 9.60368i −0.723251 0.644557i
\(223\) −5.83435 −0.390697 −0.195349 0.980734i \(-0.562584\pi\)
−0.195349 + 0.980734i \(0.562584\pi\)
\(224\) 12.7212 7.88483i 0.849972 0.526827i
\(225\) 0.00802638 0.000535092
\(226\) 18.0622 + 16.0969i 1.20148 + 1.07075i
\(227\) −0.313067 + 0.407997i −0.0207790 + 0.0270797i −0.803627 0.595133i \(-0.797099\pi\)
0.782848 + 0.622213i \(0.213766\pi\)
\(228\) −12.6087 + 15.9000i −0.835030 + 1.05300i
\(229\) −12.2415 + 9.39321i −0.808939 + 0.620720i −0.928174 0.372145i \(-0.878622\pi\)
0.119236 + 0.992866i \(0.461956\pi\)
\(230\) 0.720946 0.137434i 0.0475378 0.00906210i
\(231\) 3.71944 2.17586i 0.244721 0.143161i
\(232\) 1.41585 6.32291i 0.0929553 0.415120i
\(233\) −5.68909 21.2320i −0.372705 1.39095i −0.856670 0.515865i \(-0.827470\pi\)
0.483965 0.875087i \(-0.339196\pi\)
\(234\) −0.201577 0.0148285i −0.0131775 0.000969369i
\(235\) 13.3846 1.76211i 0.873114 0.114948i
\(236\) −16.9382 + 4.25003i −1.10258 + 0.276654i
\(237\) 19.3739 8.02492i 1.25847 0.521275i
\(238\) −0.124203 + 0.140982i −0.00805091 + 0.00913848i
\(239\) 27.2393i 1.76196i 0.473149 + 0.880982i \(0.343117\pi\)
−0.473149 + 0.880982i \(0.656883\pi\)
\(240\) −3.54959 15.1682i −0.229125 0.979101i
\(241\) −23.4339 + 13.5295i −1.50951 + 0.871515i −0.509569 + 0.860430i \(0.670195\pi\)
−0.999939 + 0.0110847i \(0.996472\pi\)
\(242\) 6.41920 12.7591i 0.412642 0.820189i
\(243\) 0.0733242 0.556953i 0.00470375 0.0357285i
\(244\) −0.0575571 + 3.60595i −0.00368472 + 0.230848i
\(245\) 14.7427 + 5.91008i 0.941873 + 0.377581i
\(246\) −5.14971 3.50069i −0.328334 0.223196i
\(247\) 4.04482 + 15.0955i 0.257366 + 0.960501i
\(248\) −2.35855 + 26.3145i −0.149768 + 1.67097i
\(249\) 6.26136 23.3677i 0.396797 1.48087i
\(250\) −14.7014 5.12165i −0.929799 0.323922i
\(251\) −15.4531 6.40088i −0.975390 0.404020i −0.162674 0.986680i \(-0.552012\pi\)
−0.812716 + 0.582660i \(0.802012\pi\)
\(252\) 0.283224 + 0.0402430i 0.0178414 + 0.00253507i
\(253\) 0.0830555 + 0.200514i 0.00522165 + 0.0126062i
\(254\) 3.11668 3.49719i 0.195558 0.219434i
\(255\) 0.0977818 + 0.169363i 0.00612333 + 0.0106059i
\(256\) 14.3386 7.09969i 0.896160 0.443731i
\(257\) −1.68247 + 2.91413i −0.104950 + 0.181778i −0.913718 0.406350i \(-0.866802\pi\)
0.808768 + 0.588128i \(0.200135\pi\)
\(258\) −24.1017 4.99440i −1.50051 0.310938i
\(259\) 15.5869 2.14276i 0.968525 0.133145i
\(260\) −11.0092 4.76741i −0.682762 0.295662i
\(261\) 0.0982548 0.0753936i 0.00608182 0.00466675i
\(262\) −4.24496 + 3.66321i −0.262254 + 0.226314i
\(263\) −4.72463 + 17.6325i −0.291333 + 1.08727i 0.652753 + 0.757571i \(0.273614\pi\)
−0.944086 + 0.329699i \(0.893053\pi\)
\(264\) 4.17917 1.93798i 0.257210 0.119275i
\(265\) −20.1175 + 20.1175i −1.23581 + 1.23581i
\(266\) −4.26600 21.7034i −0.261565 1.33072i
\(267\) 1.41704 3.42105i 0.0867217 0.209365i
\(268\) −13.3947 8.02117i −0.818213 0.489971i
\(269\) 5.35106 + 4.10601i 0.326260 + 0.250348i 0.758883 0.651227i \(-0.225745\pi\)
−0.432623 + 0.901575i \(0.642412\pi\)
\(270\) 7.55975 15.0262i 0.460072 0.914463i
\(271\) 8.29501 + 4.78912i 0.503886 + 0.290919i 0.730317 0.683109i \(-0.239372\pi\)
−0.226431 + 0.974027i \(0.572706\pi\)
\(272\) −0.146491 + 0.137425i −0.00888234 + 0.00833264i
\(273\) −8.44029 + 8.53733i −0.510829 + 0.516703i
\(274\) −12.2801 + 8.06433i −0.741870 + 0.487184i
\(275\) −0.0183889 + 0.139677i −0.00110889 + 0.00842287i
\(276\) 0.215284 0.755038i 0.0129586 0.0454479i
\(277\) −12.9532 + 1.70532i −0.778282 + 0.102463i −0.509193 0.860652i \(-0.670056\pi\)
−0.269089 + 0.963115i \(0.586723\pi\)
\(278\) 1.16095 + 2.40232i 0.0696294 + 0.144082i
\(279\) −0.357079 + 0.357079i −0.0213777 + 0.0213777i
\(280\) 15.0893 + 7.78626i 0.901761 + 0.465318i
\(281\) 6.54883 + 6.54883i 0.390670 + 0.390670i 0.874926 0.484256i \(-0.160910\pi\)
−0.484256 + 0.874926i \(0.660910\pi\)
\(282\) 4.75118 13.6380i 0.282929 0.812131i
\(283\) −1.89112 14.3645i −0.112415 0.853878i −0.951018 0.309135i \(-0.899961\pi\)
0.838603 0.544743i \(-0.183373\pi\)
\(284\) −13.4473 + 16.9574i −0.797949 + 1.00624i
\(285\) −22.8252 3.00499i −1.35205 0.178000i
\(286\) 0.719875 3.47394i 0.0425671 0.205418i
\(287\) 6.54585 1.79412i 0.386389 0.105903i
\(288\) 0.297325 + 0.0715799i 0.0175201 + 0.00421789i
\(289\) −8.49874 + 14.7202i −0.499926 + 0.865897i
\(290\) 6.97958 2.30730i 0.409855 0.135489i
\(291\) −18.9685 + 24.7202i −1.11195 + 1.44912i
\(292\) 0.233279 1.57701i 0.0136516 0.0922876i
\(293\) 2.86102 + 1.18507i 0.167143 + 0.0692328i 0.464686 0.885476i \(-0.346167\pi\)
−0.297543 + 0.954708i \(0.596167\pi\)
\(294\) 12.7359 11.2471i 0.742775 0.655945i
\(295\) −14.0094 14.0094i −0.815657 0.815657i
\(296\) 16.8054 0.697981i 0.976792 0.0405693i
\(297\) 4.80465 + 1.28740i 0.278794 + 0.0747027i
\(298\) −24.5527 1.80615i −1.42230 0.104628i
\(299\) −0.368091 0.479705i −0.0212872 0.0277421i
\(300\) 0.366081 0.354579i 0.0211357 0.0204716i
\(301\) 21.1910 16.4537i 1.22143 0.948375i
\(302\) −0.699787 + 0.459548i −0.0402682 + 0.0264440i
\(303\) 9.31090 + 5.37565i 0.534897 + 0.308823i
\(304\) −2.33662 23.5301i −0.134014 1.34954i
\(305\) −3.54336 + 2.04576i −0.202892 + 0.117140i
\(306\) −0.00383288 0.000220517i −0.000219111 1.26061e-5i
\(307\) 5.22184 2.16296i 0.298026 0.123447i −0.228660 0.973506i \(-0.573434\pi\)
0.526686 + 0.850060i \(0.323434\pi\)
\(308\) −1.34920 + 4.83654i −0.0768779 + 0.275588i
\(309\) 0.277181 0.669175i 0.0157683 0.0380680i
\(310\) −26.9876 + 13.0421i −1.53279 + 0.740743i
\(311\) 7.01313 + 1.87916i 0.397678 + 0.106558i 0.452115 0.891960i \(-0.350670\pi\)
−0.0544368 + 0.998517i \(0.517336\pi\)
\(312\) −9.84897 + 8.22869i −0.557588 + 0.465858i
\(313\) −2.83478 + 0.759576i −0.160231 + 0.0429338i −0.338043 0.941131i \(-0.609765\pi\)
0.177812 + 0.984065i \(0.443098\pi\)
\(314\) 5.41769 + 28.4200i 0.305738 + 1.60384i
\(315\) 0.125911 + 0.299128i 0.00709428 + 0.0168540i
\(316\) −9.71013 + 22.4233i −0.546237 + 1.26141i
\(317\) 14.2195 + 1.87203i 0.798645 + 0.105144i 0.518793 0.854900i \(-0.326381\pi\)
0.279852 + 0.960043i \(0.409715\pi\)
\(318\) 9.55278 + 28.8972i 0.535693 + 1.62047i
\(319\) 1.08691 + 1.88259i 0.0608555 + 0.105405i
\(320\) 15.2678 + 9.81811i 0.853498 + 0.548849i
\(321\) 14.6597 0.818222
\(322\) 0.473835 + 0.712633i 0.0264058 + 0.0397135i
\(323\) 0.113598 + 0.274250i 0.00632078 + 0.0152597i
\(324\) −10.5316 14.1883i −0.585088 0.788237i
\(325\) −0.0512312 0.389140i −0.00284180 0.0215856i
\(326\) 11.1336 9.60778i 0.616631 0.532126i
\(327\) 11.3966 3.05370i 0.630231 0.168870i
\(328\) 7.14832 1.24479i 0.394700 0.0687322i
\(329\) 7.94855 + 13.5873i 0.438218 + 0.749094i
\(330\) 4.32220 + 2.93816i 0.237929 + 0.161741i
\(331\) 9.65849 + 12.5872i 0.530879 + 0.691854i 0.979403 0.201916i \(-0.0647169\pi\)
−0.448524 + 0.893771i \(0.648050\pi\)
\(332\) 13.7034 + 24.6348i 0.752073 + 1.35201i
\(333\) 0.255056 + 0.195711i 0.0139770 + 0.0107249i
\(334\) 12.4123 0.714118i 0.679172 0.0390748i
\(335\) 17.7128i 0.967756i
\(336\) 14.6956 10.6764i 0.801709 0.582445i
\(337\) 8.12319i 0.442499i 0.975217 + 0.221249i \(0.0710134\pi\)
−0.975217 + 0.221249i \(0.928987\pi\)
\(338\) −0.488270 8.48678i −0.0265584 0.461620i
\(339\) 23.2955 + 17.8753i 1.26524 + 0.970852i
\(340\) −0.219146 0.0624851i −0.0118849 0.00338873i
\(341\) −5.39590 7.03207i −0.292204 0.380808i
\(342\) 0.254087 0.373776i 0.0137394 0.0202115i
\(343\) 0.317556 + 18.5175i 0.0171464 + 0.999853i
\(344\) 24.2221 15.3589i 1.30597 0.828099i
\(345\) 0.860388 0.230540i 0.0463217 0.0124119i
\(346\) −5.51104 6.38623i −0.296275 0.343326i
\(347\) 2.25177 + 17.1039i 0.120881 + 0.918185i 0.939188 + 0.343403i \(0.111580\pi\)
−0.818307 + 0.574782i \(0.805087\pi\)
\(348\) 1.15075 7.77925i 0.0616865 0.417012i
\(349\) 0.275206 + 0.664405i 0.0147314 + 0.0355648i 0.931074 0.364830i \(-0.118873\pi\)
−0.916343 + 0.400395i \(0.868873\pi\)
\(350\) 0.0350769 + 0.554403i 0.00187494 + 0.0296341i
\(351\) −13.8579 −0.739680
\(352\) −1.92684 + 5.01014i −0.102701 + 0.267042i
\(353\) −10.2028 17.6718i −0.543041 0.940574i −0.998727 0.0504339i \(-0.983940\pi\)
0.455687 0.890140i \(-0.349394\pi\)
\(354\) −20.1234 + 6.65235i −1.06954 + 0.353568i
\(355\) −24.3432 3.20485i −1.29201 0.170096i
\(356\) 1.58738 + 4.01221i 0.0841308 + 0.212647i
\(357\) −0.137782 + 0.181701i −0.00729217 + 0.00961666i
\(358\) 18.2730 3.48336i 0.965756 0.184101i
\(359\) −11.6399 + 3.11891i −0.614333 + 0.164610i −0.552550 0.833480i \(-0.686345\pi\)
−0.0617827 + 0.998090i \(0.519679\pi\)
\(360\) 0.103629 + 0.331119i 0.00546172 + 0.0174515i
\(361\) −15.4020 4.12696i −0.810633 0.217208i
\(362\) −14.9575 30.9511i −0.786151 1.62675i
\(363\) 6.63367 16.0151i 0.348177 0.840574i
\(364\) 0.143309 13.9883i 0.00751144 0.733185i
\(365\) 1.67093 0.692124i 0.0874607 0.0362274i
\(366\) 0.251404 + 4.36973i 0.0131411 + 0.228409i
\(367\) 20.3624 11.7562i 1.06291 0.613671i 0.136674 0.990616i \(-0.456359\pi\)
0.926236 + 0.376945i \(0.123025\pi\)
\(368\) 0.431916 + 0.806497i 0.0225152 + 0.0420416i
\(369\) 0.120107 + 0.0693437i 0.00625251 + 0.00360989i
\(370\) 10.4746 + 15.9505i 0.544549 + 0.829225i
\(371\) −30.7209 12.5198i −1.59495 0.649994i
\(372\) −0.511745 + 32.0608i −0.0265327 + 1.66228i
\(373\) −7.45759 9.71892i −0.386139 0.503226i 0.559327 0.828947i \(-0.311060\pi\)
−0.945466 + 0.325721i \(0.894393\pi\)
\(374\) 0.00494384 0.0672062i 0.000255640 0.00347515i
\(375\) −18.2504 4.89019i −0.942449 0.252528i
\(376\) 7.07958 + 15.2668i 0.365101 + 0.787324i
\(377\) −4.28242 4.28242i −0.220556 0.220556i
\(378\) 19.5685 + 1.32709i 1.00649 + 0.0682584i
\(379\) 23.3198 + 9.65936i 1.19786 + 0.496168i 0.890306 0.455364i \(-0.150491\pi\)
0.307550 + 0.951532i \(0.400491\pi\)
\(380\) 21.5408 15.9892i 1.10502 0.820227i
\(381\) 3.46101 4.51047i 0.177313 0.231078i
\(382\) 10.8791 + 32.9094i 0.556625 + 1.68379i
\(383\) 13.1708 22.8125i 0.672998 1.16567i −0.304052 0.952655i \(-0.598340\pi\)
0.977050 0.213011i \(-0.0683269\pi\)
\(384\) 16.7231 9.87008i 0.853396 0.503680i
\(385\) −5.49399 + 1.50582i −0.280000 + 0.0767436i
\(386\) 20.0612 + 4.15712i 1.02109 + 0.211592i
\(387\) 0.543514 + 0.0715550i 0.0276284 + 0.00363734i
\(388\) −4.16405 36.0685i −0.211398 1.83110i
\(389\) −0.883693 6.71232i −0.0448050 0.340328i −0.999135 0.0415747i \(-0.986763\pi\)
0.954330 0.298753i \(-0.0965708\pi\)
\(390\) −13.7499 4.79017i −0.696254 0.242560i
\(391\) −0.00812123 0.00812123i −0.000410709 0.000410709i
\(392\) −1.54194 + 19.7389i −0.0778799 + 0.996963i
\(393\) −4.81188 + 4.81188i −0.242727 + 0.242727i
\(394\) −33.1647 + 16.0273i −1.67081 + 0.807442i
\(395\) −27.4851 + 3.61848i −1.38292 + 0.182065i
\(396\) −0.0896621 + 0.0498757i −0.00450569 + 0.00250635i
\(397\) −2.02284 + 15.3650i −0.101523 + 0.771146i 0.862637 + 0.505824i \(0.168812\pi\)
−0.964160 + 0.265322i \(0.914522\pi\)
\(398\) 9.39461 + 14.3059i 0.470909 + 0.717088i
\(399\) −7.09596 25.8897i −0.355243 1.29610i
\(400\) −0.0189534 + 0.593564i −0.000947670 + 0.0296782i
\(401\) −1.80550 1.04241i −0.0901625 0.0520553i 0.454241 0.890879i \(-0.349911\pi\)
−0.544403 + 0.838824i \(0.683244\pi\)
\(402\) −16.9270 8.51608i −0.844243 0.424743i
\(403\) 19.5913 + 15.0329i 0.975911 + 0.748843i
\(404\) −12.1513 + 3.04892i −0.604548 + 0.151690i
\(405\) 7.67149 18.5206i 0.381200 0.920297i
\(406\) 5.63702 + 6.45723i 0.279761 + 0.320467i
\(407\) −3.99017 + 3.99017i −0.197785 + 0.197785i
\(408\) −0.165075 + 0.179382i −0.00817244 + 0.00888071i
\(409\) 4.51629 16.8550i 0.223316 0.833427i −0.759756 0.650208i \(-0.774682\pi\)
0.983072 0.183219i \(-0.0586517\pi\)
\(410\) 5.37810 + 6.23218i 0.265606 + 0.307785i
\(411\) −14.1457 + 10.8544i −0.697756 + 0.535407i
\(412\) 0.310499 + 0.784810i 0.0152972 + 0.0386648i
\(413\) 8.71850 21.3934i 0.429009 1.05270i
\(414\) −0.00354822 + 0.0171228i −0.000174386 + 0.000841542i
\(415\) −15.9908 + 27.6968i −0.784956 + 1.35958i
\(416\) 1.57259 14.8720i 0.0771028 0.729158i
\(417\) 1.61911 + 2.80438i 0.0792880 + 0.137331i
\(418\) 5.92243 + 5.27803i 0.289675 + 0.258157i
\(419\) −1.85032 4.46707i −0.0903942 0.218231i 0.872216 0.489120i \(-0.162682\pi\)
−0.962610 + 0.270890i \(0.912682\pi\)
\(420\) 18.9573 + 8.08086i 0.925019 + 0.394306i
\(421\) −19.5246 8.08736i −0.951572 0.394154i −0.147750 0.989025i \(-0.547203\pi\)
−0.803821 + 0.594871i \(0.797203\pi\)
\(422\) −4.89959 + 14.0640i −0.238508 + 0.684624i
\(423\) −0.0832501 + 0.310694i −0.00404776 + 0.0151064i
\(424\) −31.4226 16.4425i −1.52602 0.798518i
\(425\) −0.00192958 0.00720129i −9.35983e−5 0.000349314i
\(426\) −14.7666 + 21.7224i −0.715442 + 1.05246i
\(427\) −3.80150 2.88262i −0.183967 0.139500i
\(428\) −12.2701 + 11.8846i −0.593099 + 0.574463i
\(429\) 0.562013 4.26891i 0.0271342 0.206105i
\(430\) 29.0676 + 14.6241i 1.40177 + 0.705236i
\(431\) 5.91156 3.41304i 0.284750 0.164400i −0.350822 0.936442i \(-0.614098\pi\)
0.635572 + 0.772042i \(0.280764\pi\)
\(432\) 20.6903 + 3.39890i 0.995464 + 0.163529i
\(433\) 5.72011i 0.274891i −0.990509 0.137446i \(-0.956111\pi\)
0.990509 0.137446i \(-0.0438892\pi\)
\(434\) −26.2248 23.1038i −1.25883 1.10902i
\(435\) 8.24257 3.41418i 0.395201 0.163698i
\(436\) −7.06328 + 11.7951i −0.338270 + 0.564884i
\(437\) 1.34049 0.176479i 0.0641242 0.00844212i
\(438\) 0.141943 1.92957i 0.00678232 0.0921983i
\(439\) −8.16557 30.4743i −0.389721 1.45446i −0.830588 0.556887i \(-0.811995\pi\)
0.440867 0.897573i \(-0.354671\pi\)
\(440\) −5.99965 + 1.04477i −0.286022 + 0.0498073i
\(441\) −0.264516 + 0.270634i −0.0125960 + 0.0128873i
\(442\) 0.0351560 + 0.184421i 0.00167220 + 0.00877199i
\(443\) −10.4853 + 8.04566i −0.498172 + 0.382261i −0.827065 0.562106i \(-0.809991\pi\)
0.328893 + 0.944367i \(0.393325\pi\)
\(444\) 20.2789 2.34116i 0.962393 0.111107i
\(445\) −2.98001 + 3.88363i −0.141266 + 0.184102i
\(446\) 5.48961 6.15983i 0.259940 0.291677i
\(447\) −29.8791 −1.41323
\(448\) −3.64484 + 20.8498i −0.172202 + 0.985062i
\(449\) −12.5172 −0.590722 −0.295361 0.955386i \(-0.595440\pi\)
−0.295361 + 0.955386i \(0.595440\pi\)
\(450\) −0.00755211 + 0.00847415i −0.000356010 + 0.000399475i
\(451\) −1.48191 + 1.93126i −0.0697804 + 0.0909396i
\(452\) −33.9898 + 3.92406i −1.59875 + 0.184572i
\(453\) −0.806096 + 0.618539i −0.0378737 + 0.0290615i
\(454\) −0.136190 0.714422i −0.00639171 0.0335295i
\(455\) 13.6988 8.01378i 0.642212 0.375692i
\(456\) −4.92332 28.2725i −0.230555 1.32398i
\(457\) −8.50530 31.7422i −0.397861 1.48484i −0.816852 0.576848i \(-0.804283\pi\)
0.418991 0.907991i \(-0.362384\pi\)
\(458\) 1.60090 21.7625i 0.0748053 1.01690i
\(459\) −0.260973 + 0.0343577i −0.0121812 + 0.00160368i
\(460\) −0.533245 + 0.890478i −0.0248627 + 0.0415188i
\(461\) −2.08517 + 0.863705i −0.0971160 + 0.0402268i −0.430712 0.902489i \(-0.641738\pi\)
0.333597 + 0.942716i \(0.391738\pi\)
\(462\) −1.20242 + 5.97423i −0.0559415 + 0.277946i
\(463\) 4.71931i 0.219325i 0.993969 + 0.109663i \(0.0349770\pi\)
−0.993969 + 0.109663i \(0.965023\pi\)
\(464\) 5.34346 + 7.44414i 0.248064 + 0.345585i
\(465\) −31.5043 + 18.1890i −1.46098 + 0.843495i
\(466\) 27.7694 + 13.9709i 1.28639 + 0.647191i
\(467\) −4.27839 + 32.4976i −0.197980 + 1.50381i 0.547230 + 0.836982i \(0.315682\pi\)
−0.745211 + 0.666829i \(0.767651\pi\)
\(468\) 0.205322 0.198871i 0.00949102 0.00919280i
\(469\) 19.0361 8.01277i 0.879003 0.369995i
\(470\) −10.7333 + 15.7893i −0.495090 + 0.728305i
\(471\) 9.08801 + 33.9169i 0.418753 + 1.56281i
\(472\) 11.4502 21.8820i 0.527038 1.00720i
\(473\) −2.49044 + 9.29445i −0.114511 + 0.427359i
\(474\) −9.75649 + 28.0054i −0.448130 + 1.28633i
\(475\) 0.810847 + 0.335864i 0.0372042 + 0.0154105i
\(476\) −0.0319822 0.263783i −0.00146590 0.0120905i
\(477\) −0.259406 0.626262i −0.0118774 0.0286746i
\(478\) −28.7589 25.6298i −1.31540 1.17228i
\(479\) 14.5613 + 25.2209i 0.665322 + 1.15237i 0.979198 + 0.202907i \(0.0650390\pi\)
−0.313876 + 0.949464i \(0.601628\pi\)
\(480\) 19.3542 + 10.5243i 0.883395 + 0.480366i
\(481\) 7.86059 13.6149i 0.358412 0.620788i
\(482\) 7.76486 37.4713i 0.353680 1.70677i
\(483\) 0.636977 + 0.820373i 0.0289835 + 0.0373283i
\(484\) 7.43105 + 18.7825i 0.337775 + 0.853751i
\(485\) 32.6798 25.0761i 1.48391 1.13865i
\(486\) 0.519032 + 0.601458i 0.0235438 + 0.0272827i
\(487\) 2.45624 9.16682i 0.111303 0.415388i −0.887681 0.460459i \(-0.847685\pi\)
0.998984 + 0.0450711i \(0.0143514\pi\)
\(488\) −3.75296 3.45365i −0.169889 0.156339i
\(489\) 12.6205 12.6205i 0.570718 0.570718i
\(490\) −20.1113 + 10.0042i −0.908537 + 0.451946i
\(491\) −11.6185 + 28.0495i −0.524334 + 1.26586i 0.410853 + 0.911702i \(0.365231\pi\)
−0.935187 + 0.354153i \(0.884769\pi\)
\(492\) 8.54141 2.14316i 0.385076 0.0966212i
\(493\) −0.0912642 0.0700295i −0.00411033 0.00315397i
\(494\) −19.7434 9.93302i −0.888298 0.446908i
\(495\) −0.100807 0.0582008i −0.00453092 0.00261593i
\(496\) −25.5634 27.2498i −1.14783 1.22355i
\(497\) −7.56791 27.6116i −0.339467 1.23855i
\(498\) 18.7799 + 28.5976i 0.841549 + 1.28149i
\(499\) 3.00596 22.8325i 0.134565 1.02212i −0.782293 0.622910i \(-0.785950\pi\)
0.916858 0.399213i \(-0.130717\pi\)
\(500\) 19.2401 10.7025i 0.860443 0.478632i
\(501\) 14.9601 1.96954i 0.668370 0.0879926i
\(502\) 21.2979 10.2925i 0.950573 0.459377i
\(503\) −3.99460 + 3.99460i −0.178110 + 0.178110i −0.790532 0.612421i \(-0.790196\pi\)
0.612421 + 0.790532i \(0.290196\pi\)
\(504\) −0.308976 + 0.261159i −0.0137629 + 0.0116329i
\(505\) −10.0502 10.0502i −0.447226 0.447226i
\(506\) −0.289848 0.100977i −0.0128853 0.00448896i
\(507\) −1.34665 10.2288i −0.0598069 0.454278i
\(508\) 0.759776 + 6.58110i 0.0337096 + 0.291989i
\(509\) −0.373014 0.0491082i −0.0165336 0.00217668i 0.122255 0.992499i \(-0.460987\pi\)
−0.138788 + 0.990322i \(0.544321\pi\)
\(510\) −0.270815 0.0561188i −0.0119919 0.00248498i
\(511\) 1.49971 + 1.48266i 0.0663433 + 0.0655892i
\(512\) −5.99555 + 21.8186i −0.264968 + 0.964257i
\(513\) 15.4937 26.8358i 0.684062 1.18483i
\(514\) −1.49364 4.51827i −0.0658818 0.199292i
\(515\) −0.582906 + 0.759658i −0.0256859 + 0.0334745i
\(516\) 27.9506 20.7470i 1.23046 0.913336i
\(517\) −5.21605 2.16056i −0.229402 0.0950212i
\(518\) −12.4036 + 18.4726i −0.544984 + 0.811641i
\(519\) −7.23912 7.23912i −0.317762 0.317762i
\(520\) 15.3921 7.13767i 0.674986 0.313008i
\(521\) −11.6347 3.11751i −0.509725 0.136581i −0.00521550 0.999986i \(-0.501660\pi\)
−0.504510 + 0.863406i \(0.668327\pi\)
\(522\) −0.0128495 + 0.174675i −0.000562406 + 0.00764531i
\(523\) 21.6218 + 28.1780i 0.945454 + 1.23214i 0.972594 + 0.232508i \(0.0746932\pi\)
−0.0271405 + 0.999632i \(0.508640\pi\)
\(524\) 0.126553 7.92853i 0.00552848 0.346359i
\(525\) 0.0918201 + 0.667920i 0.00400736 + 0.0291504i
\(526\) −14.1708 21.5789i −0.617875 0.940883i
\(527\) 0.406215 + 0.234528i 0.0176950 + 0.0102162i
\(528\) −1.88613 + 6.23579i −0.0820833 + 0.271378i
\(529\) 19.8733 11.4738i 0.864056 0.498863i
\(530\) −2.31102 40.1685i −0.100384 1.74481i
\(531\) 0.436115 0.180645i 0.0189258 0.00783932i
\(532\) 26.9281 + 15.9169i 1.16748 + 0.690087i
\(533\) 2.59533 6.26569i 0.112416 0.271397i
\(534\) 2.27859 + 4.71500i 0.0986041 + 0.204038i
\(535\) −18.7195 5.01588i −0.809316 0.216855i
\(536\) 21.0719 6.59477i 0.910167 0.284851i
\(537\) 21.8072 5.84323i 0.941051 0.252154i
\(538\) −9.36994 + 1.78619i −0.403967 + 0.0770080i
\(539\) −4.10363 5.22322i −0.176756 0.224980i
\(540\) 8.75138 + 22.1198i 0.376599 + 0.951883i
\(541\) 13.9320 + 1.83418i 0.598982 + 0.0788575i 0.423920 0.905700i \(-0.360654\pi\)
0.175063 + 0.984557i \(0.443987\pi\)
\(542\) −12.8612 + 4.25162i −0.552434 + 0.182623i
\(543\) −20.8603 36.1311i −0.895201 1.55053i
\(544\) −0.00725669 0.283969i −0.000311128 0.0121751i
\(545\) −15.5976 −0.668127
\(546\) −1.07204 16.9440i −0.0458792 0.725137i
\(547\) −4.13041 9.97168i −0.176603 0.426358i 0.810647 0.585536i \(-0.199116\pi\)
−0.987250 + 0.159177i \(0.949116\pi\)
\(548\) 3.04031 20.5530i 0.129875 0.877982i
\(549\) −0.0127243 0.0966507i −0.000543060 0.00412495i
\(550\) −0.130167 0.150839i −0.00555035 0.00643179i
\(551\) 13.0808 3.50499i 0.557261 0.149318i
\(552\) 0.594596 + 0.937718i 0.0253077 + 0.0399119i
\(553\) −16.3222 27.9014i −0.694092 1.18649i
\(554\) 10.3874 15.2804i 0.441316 0.649201i
\(555\) 14.0986 + 18.3736i 0.598451 + 0.779917i
\(556\) −3.62870 1.03465i −0.153891 0.0438790i
\(557\) 15.5397 + 11.9241i 0.658439 + 0.505238i 0.883092 0.469201i \(-0.155458\pi\)
−0.224652 + 0.974439i \(0.572125\pi\)
\(558\) −0.0410198 0.712979i −0.00173651 0.0301828i
\(559\) 26.8077i 1.13384i
\(560\) −22.4184 + 8.60496i −0.947349 + 0.363626i
\(561\) 0.0817858i 0.00345300i
\(562\) −13.0760 + 0.752304i −0.551579 + 0.0317340i
\(563\) 24.8644 + 19.0791i 1.04791 + 0.804088i 0.981066 0.193675i \(-0.0620409\pi\)
0.0668424 + 0.997764i \(0.478708\pi\)
\(564\) 9.92838 + 17.8484i 0.418060 + 0.751552i
\(565\) −23.6309 30.7964i −0.994159 1.29561i
\(566\) 16.9452 + 11.5191i 0.712259 + 0.484182i
\(567\) 23.3745 0.133605i 0.981639 0.00561087i
\(568\) −5.25076 30.1529i −0.220317 1.26519i
\(569\) −36.8872 + 9.88389i −1.54639 + 0.414354i −0.928324 0.371771i \(-0.878751\pi\)
−0.618067 + 0.786125i \(0.712084\pi\)
\(570\) 24.6491 21.2711i 1.03244 0.890948i
\(571\) 2.87503 + 21.8380i 0.120316 + 0.913894i 0.940023 + 0.341110i \(0.110803\pi\)
−0.819707 + 0.572783i \(0.805864\pi\)
\(572\) 2.99040 + 4.02870i 0.125035 + 0.168448i
\(573\) 16.0982 + 38.8645i 0.672512 + 1.62359i
\(574\) −4.26485 + 8.59912i −0.178012 + 0.358921i
\(575\) −0.0339570 −0.00141610
\(576\) −0.355330 + 0.246562i −0.0148054 + 0.0102734i
\(577\) 2.30610 + 3.99428i 0.0960042 + 0.166284i 0.910027 0.414548i \(-0.136060\pi\)
−0.814023 + 0.580833i \(0.802727\pi\)
\(578\) −7.54489 22.8233i −0.313826 0.949324i
\(579\) 24.6520 + 3.24550i 1.02450 + 0.134878i
\(580\) −4.13115 + 9.53991i −0.171537 + 0.396123i
\(581\) −36.9996 4.65611i −1.53500 0.193168i
\(582\) −8.25162 43.2862i −0.342041 1.79427i
\(583\) 11.4927 3.07946i 0.475979 0.127538i
\(584\) 1.44549 + 1.73012i 0.0598149 + 0.0715929i
\(585\) 0.313243 + 0.0839333i 0.0129510 + 0.00347021i
\(586\) −3.94315 + 1.90558i −0.162890 + 0.0787188i
\(587\) 8.83831 21.3376i 0.364796 0.880695i −0.629789 0.776766i \(-0.716859\pi\)
0.994585 0.103929i \(-0.0331415\pi\)
\(588\) −0.108824 + 24.0290i −0.00448782 + 0.990939i
\(589\) −51.0150 + 21.1311i −2.10204 + 0.870692i
\(590\) 27.9725 1.60934i 1.15161 0.0662556i
\(591\) −38.7151 + 22.3522i −1.59253 + 0.919446i
\(592\) −15.0754 + 18.3996i −0.619597 + 0.756220i
\(593\) 31.6538 + 18.2753i 1.29986 + 0.750477i 0.980380 0.197115i \(-0.0631572\pi\)
0.319484 + 0.947592i \(0.396491\pi\)
\(594\) −5.87998 + 3.86136i −0.241258 + 0.158434i
\(595\) 0.238109 0.184879i 0.00976152 0.00757931i
\(596\) 25.0088 24.2230i 1.02440 0.992212i
\(597\) 12.6449 + 16.4792i 0.517522 + 0.674447i
\(598\) 0.852807 + 0.0627344i 0.0348739 + 0.00256540i
\(599\) 6.61863 + 1.77346i 0.270430 + 0.0724614i 0.391485 0.920184i \(-0.371961\pi\)
−0.121056 + 0.992646i \(0.538628\pi\)
\(600\) 0.0299093 + 0.720131i 0.00122104 + 0.0293992i
\(601\) 27.8002 + 27.8002i 1.13400 + 1.13400i 0.989506 + 0.144489i \(0.0461538\pi\)
0.144489 + 0.989506i \(0.453846\pi\)
\(602\) −2.56722 + 37.8546i −0.104632 + 1.54284i
\(603\) 0.389902 + 0.161503i 0.0158780 + 0.00657690i
\(604\) 0.173253 1.17122i 0.00704955 0.0476562i
\(605\) −13.9505 + 18.1806i −0.567167 + 0.739146i
\(606\) −14.4363 + 4.77232i −0.586433 + 0.193862i
\(607\) −17.2445 + 29.8684i −0.699933 + 1.21232i 0.268556 + 0.963264i \(0.413454\pi\)
−0.968489 + 0.249056i \(0.919880\pi\)
\(608\) 27.0413 + 19.6728i 1.09667 + 0.797836i
\(609\) 7.39793 + 7.31384i 0.299779 + 0.296372i
\(610\) 1.17410 5.66591i 0.0475379 0.229406i
\(611\) 15.5946 + 2.05307i 0.630890 + 0.0830582i
\(612\) 0.00337358 0.00425420i 0.000136369 0.000171966i
\(613\) 2.22063 + 16.8674i 0.0896904 + 0.681266i 0.975937 + 0.218053i \(0.0699704\pi\)
−0.886247 + 0.463214i \(0.846696\pi\)
\(614\) −2.62967 + 7.54831i −0.106125 + 0.304625i
\(615\) 7.06450 + 7.06450i 0.284868 + 0.284868i
\(616\) −3.83688 5.97522i −0.154592 0.240749i
\(617\) 21.9050 21.9050i 0.881864 0.881864i −0.111860 0.993724i \(-0.535681\pi\)
0.993724 + 0.111860i \(0.0356808\pi\)
\(618\) 0.445703 + 0.922278i 0.0179288 + 0.0370995i
\(619\) −28.6865 + 3.77665i −1.15301 + 0.151796i −0.682695 0.730704i \(-0.739192\pi\)
−0.470312 + 0.882500i \(0.655859\pi\)
\(620\) 11.6232 40.7647i 0.466801 1.63715i
\(621\) −0.156490 + 1.18866i −0.00627973 + 0.0476993i
\(622\) −8.58273 + 5.63625i −0.344136 + 0.225993i
\(623\) −5.52182 1.44579i −0.221227 0.0579244i
\(624\) 0.579266 18.1409i 0.0231892 0.726217i
\(625\) 22.2744 + 12.8601i 0.890977 + 0.514406i
\(626\) 1.86532 3.70761i 0.0745533 0.148186i
\(627\) 7.63839 + 5.86114i 0.305048 + 0.234072i
\(628\) −35.1031 21.0208i −1.40077 0.838821i
\(629\) 0.114276 0.275886i 0.00455647 0.0110003i
\(630\) −0.434287 0.148518i −0.0173024 0.00591710i
\(631\) 11.4925 11.4925i 0.457510 0.457510i −0.440327 0.897837i \(-0.645137\pi\)
0.897837 + 0.440327i \(0.145137\pi\)
\(632\) −14.5378 31.3501i −0.578283 1.24704i
\(633\) −4.67816 + 17.4591i −0.185940 + 0.693938i
\(634\) −15.3557 + 13.2513i −0.609854 + 0.526277i
\(635\) −5.96278 + 4.57541i −0.236626 + 0.181569i
\(636\) −39.4976 17.1040i −1.56618 0.678216i
\(637\) 14.8094 + 11.0970i 0.586770 + 0.439679i
\(638\) −3.01030 0.623800i −0.119179 0.0246965i
\(639\) 0.292504 0.506632i 0.0115713 0.0200421i
\(640\) −24.7315 + 6.88162i −0.977598 + 0.272020i
\(641\) −0.491952 0.852086i −0.0194309 0.0336554i 0.856146 0.516733i \(-0.172852\pi\)
−0.875577 + 0.483078i \(0.839519\pi\)
\(642\) −13.7934 + 15.4775i −0.544383 + 0.610847i
\(643\) 5.00573 + 12.0849i 0.197407 + 0.476582i 0.991324 0.131444i \(-0.0419615\pi\)
−0.793917 + 0.608026i \(0.791961\pi\)
\(644\) −1.19823 0.170255i −0.0472167 0.00670898i
\(645\) 36.4852 + 15.1127i 1.43660 + 0.595061i
\(646\) −0.396436 0.138110i −0.0155976 0.00543385i
\(647\) −0.519900 + 1.94029i −0.0204394 + 0.0762808i −0.975392 0.220477i \(-0.929239\pi\)
0.954953 + 0.296758i \(0.0959053\pi\)
\(648\) 24.8891 + 2.23079i 0.977735 + 0.0876336i
\(649\) 2.14447 + 8.00327i 0.0841778 + 0.314156i
\(650\) 0.459053 + 0.312057i 0.0180055 + 0.0122399i
\(651\) −33.7994 25.6296i −1.32470 1.00450i
\(652\) −0.331919 + 20.7947i −0.0129990 + 0.814385i
\(653\) −4.87594 + 37.0365i −0.190810 + 1.44935i 0.581211 + 0.813753i \(0.302579\pi\)
−0.772022 + 0.635596i \(0.780754\pi\)
\(654\) −7.49909 + 14.9056i −0.293238 + 0.582855i
\(655\) 7.79090 4.49808i 0.304416 0.175754i
\(656\) −5.41169 + 8.71834i −0.211291 + 0.340394i
\(657\) 0.0430919i 0.00168118i
\(658\) −21.8242 4.39250i −0.850797 0.171238i
\(659\) −1.18124 + 0.489288i −0.0460148 + 0.0190599i −0.405572 0.914063i \(-0.632928\pi\)
0.359557 + 0.933123i \(0.382928\pi\)
\(660\) −7.16888 + 1.79878i −0.279048 + 0.0700172i
\(661\) −26.5473 + 3.49502i −1.03257 + 0.135940i −0.627717 0.778441i \(-0.716011\pi\)
−0.404853 + 0.914382i \(0.632677\pi\)
\(662\) −22.3772 1.64612i −0.869713 0.0639781i
\(663\) 0.0589730 + 0.220090i 0.00229032 + 0.00854760i
\(664\) −38.9028 8.71128i −1.50972 0.338063i
\(665\) 0.202840 + 35.4875i 0.00786581 + 1.37615i
\(666\) −0.446614 + 0.0851378i −0.0173059 + 0.00329902i
\(667\) −0.415683 + 0.318965i −0.0160953 + 0.0123504i
\(668\) −10.9249 + 13.7767i −0.422698 + 0.533036i
\(669\) 6.09609 7.94458i 0.235689 0.307155i
\(670\) 18.7010 + 16.6662i 0.722482 + 0.643872i
\(671\) 1.71110 0.0660561
\(672\) −2.55522 + 25.5609i −0.0985698 + 0.986034i
\(673\) −32.0683 −1.23614 −0.618072 0.786122i \(-0.712086\pi\)
−0.618072 + 0.786122i \(0.712086\pi\)
\(674\) −8.57636 7.64320i −0.330349 0.294405i
\(675\) −0.473768 + 0.617426i −0.0182353 + 0.0237648i
\(676\) 9.41966 + 7.46980i 0.362294 + 0.287300i
\(677\) −1.13981 + 0.874607i −0.0438065 + 0.0336139i −0.630433 0.776244i \(-0.717122\pi\)
0.586626 + 0.809858i \(0.300456\pi\)
\(678\) −40.7915 + 7.77606i −1.56659 + 0.298638i
\(679\) 41.7328 + 23.7774i 1.60156 + 0.912494i
\(680\) 0.272168 0.172578i 0.0104372 0.00661808i
\(681\) −0.228454 0.852602i −0.00875438 0.0326718i
\(682\) 12.5014 + 0.919634i 0.478705 + 0.0352146i
\(683\) −0.311033 + 0.0409483i −0.0119014 + 0.00156684i −0.136475 0.990644i \(-0.543577\pi\)
0.124573 + 0.992210i \(0.460244\pi\)
\(684\) 0.155555 + 0.619951i 0.00594778 + 0.0237044i
\(685\) 21.7771 9.02038i 0.832061 0.344651i
\(686\) −19.8494 17.0881i −0.757852 0.652426i
\(687\) 26.4837i 1.01042i
\(688\) −6.57505 + 40.0248i −0.250672 + 1.52593i
\(689\) −28.7070 + 16.5740i −1.09365 + 0.631419i
\(690\) −0.566147 + 1.12530i −0.0215529 + 0.0428396i
\(691\) 2.08532 15.8396i 0.0793294 0.602566i −0.904894 0.425637i \(-0.860050\pi\)
0.984223 0.176930i \(-0.0566165\pi\)
\(692\) 11.9279 + 0.190389i 0.453431 + 0.00723752i
\(693\) 0.0169466 0.134666i 0.000643748 0.00511553i
\(694\) −20.1768 13.7158i −0.765900 0.520646i
\(695\) −1.10797 4.13501i −0.0420278 0.156850i
\(696\) 7.13048 + 8.53453i 0.270280 + 0.323500i
\(697\) 0.0333410 0.124430i 0.00126288 0.00471314i
\(698\) −0.960414 0.334587i −0.0363522 0.0126643i
\(699\) 34.8557 + 14.4377i 1.31836 + 0.546084i
\(700\) −0.618336 0.484610i −0.0233709 0.0183165i
\(701\) 15.4207 + 37.2289i 0.582433 + 1.40612i 0.890601 + 0.454785i \(0.150284\pi\)
−0.308168 + 0.951332i \(0.599716\pi\)
\(702\) 13.0391 14.6310i 0.492127 0.552211i
\(703\) 17.5769 + 30.4441i 0.662925 + 1.14822i
\(704\) −3.47666 6.74843i −0.131032 0.254341i
\(705\) −11.5856 + 20.0668i −0.436339 + 0.755761i
\(706\) 28.2576 + 5.85558i 1.06349 + 0.220378i
\(707\) 6.25455 15.3474i 0.235227 0.577197i
\(708\) 11.9108 27.5053i 0.447636 1.03371i
\(709\) 2.50969 1.92575i 0.0942533 0.0723231i −0.560560 0.828114i \(-0.689414\pi\)
0.654813 + 0.755791i \(0.272747\pi\)
\(710\) 26.2885 22.6858i 0.986589 0.851383i
\(711\) 0.170953 0.638005i 0.00641124 0.0239271i
\(712\) −5.72962 2.09920i −0.214727 0.0786710i
\(713\) 1.51068 1.51068i 0.0565755 0.0565755i
\(714\) −0.0621979 0.316433i −0.00232770 0.0118422i
\(715\) −2.17829 + 5.25885i −0.0814634 + 0.196670i
\(716\) −13.5155 + 22.5699i −0.505099 + 0.843476i
\(717\) −37.0915 28.4613i −1.38521 1.06291i
\(718\) 7.65925 15.2239i 0.285840 0.568152i
\(719\) −18.2626 10.5439i −0.681082 0.393223i 0.119181 0.992873i \(-0.461973\pi\)
−0.800262 + 0.599650i \(0.795307\pi\)
\(720\) −0.447097 0.202144i −0.0166623 0.00753345i
\(721\) −1.08010 0.282804i −0.0402249 0.0105322i
\(722\) 18.8491 12.3782i 0.701492 0.460667i
\(723\) 6.06209 46.0462i 0.225452 1.71248i
\(724\) 46.7515 + 13.3303i 1.73751 + 0.495416i
\(725\) −0.337205 + 0.0443939i −0.0125235 + 0.00164875i
\(726\) 10.6668 + 22.0725i 0.395883 + 0.819188i
\(727\) 1.49231 1.49231i 0.0553467 0.0553467i −0.678892 0.734238i \(-0.737539\pi\)
0.734238 + 0.678892i \(0.237539\pi\)
\(728\) 14.6338 + 13.3130i 0.542365 + 0.493414i
\(729\) 19.4234 + 19.4234i 0.719386 + 0.719386i
\(730\) −0.841465 + 2.41538i −0.0311440 + 0.0893971i
\(731\) −0.0664639 0.504844i −0.00245826 0.0186723i
\(732\) −4.85005 3.84610i −0.179263 0.142156i
\(733\) −16.1713 2.12900i −0.597302 0.0786363i −0.174187 0.984713i \(-0.555730\pi\)
−0.423114 + 0.906076i \(0.639063\pi\)
\(734\) −6.74713 + 32.5600i −0.249041 + 1.20181i
\(735\) −23.4517 + 13.8997i −0.865031 + 0.512699i
\(736\) −1.25788 0.302831i −0.0463662 0.0111625i
\(737\) −3.70380 + 6.41518i −0.136431 + 0.236306i
\(738\) −0.186222 + 0.0615609i −0.00685492 + 0.00226609i
\(739\) 17.8434 23.2540i 0.656380 0.855412i −0.339999 0.940426i \(-0.610427\pi\)
0.996380 + 0.0850140i \(0.0270935\pi\)
\(740\) −26.6960 3.94900i −0.981364 0.145168i
\(741\) −24.7816 10.2649i −0.910376 0.377090i
\(742\) 42.1238 20.6547i 1.54642 0.758259i
\(743\) 22.4851 + 22.4851i 0.824899 + 0.824899i 0.986806 0.161907i \(-0.0517644\pi\)
−0.161907 + 0.986806i \(0.551764\pi\)
\(744\) −33.3679 30.7067i −1.22333 1.12576i
\(745\) 38.1539 + 10.2233i 1.39785 + 0.374553i
\(746\) 17.2780 + 1.27101i 0.632594 + 0.0465350i
\(747\) −0.463872 0.604530i −0.0169722 0.0221186i
\(748\) 0.0663037 + 0.0684547i 0.00242430 + 0.00250295i
\(749\) −3.07758 22.3870i −0.112452 0.818003i
\(750\) 22.3351 14.6674i 0.815561 0.535576i
\(751\) 26.9574 + 15.5639i 0.983690 + 0.567934i 0.903382 0.428837i \(-0.141076\pi\)
0.0803077 + 0.996770i \(0.474410\pi\)
\(752\) −22.7797 6.89015i −0.830691 0.251258i
\(753\) 24.8624 14.3543i 0.906034 0.523099i
\(754\) 8.55070 0.491948i 0.311398 0.0179157i
\(755\) 1.24097 0.514028i 0.0451637 0.0187074i
\(756\) −19.8133 + 19.4115i −0.720604 + 0.705989i
\(757\) 1.79118 4.32429i 0.0651016 0.157169i −0.887980 0.459881i \(-0.847892\pi\)
0.953082 + 0.302712i \(0.0978920\pi\)
\(758\) −32.1401 + 15.5321i −1.16738 + 0.564152i
\(759\) −0.359819 0.0964132i −0.0130606 0.00349958i
\(760\) −3.38681 + 37.7869i −0.122852 + 1.37067i
\(761\) 21.0021 5.62750i 0.761326 0.203997i 0.142790 0.989753i \(-0.454393\pi\)
0.618536 + 0.785756i \(0.287726\pi\)
\(762\) 1.50560 + 7.89804i 0.0545421 + 0.286116i
\(763\) −7.05589 16.7628i −0.255440 0.606853i
\(764\) −44.9816 19.4788i −1.62738 0.704717i
\(765\) 0.00610711 0.000804016i 0.000220803 2.90693e-5i
\(766\) 11.6926 + 35.3701i 0.422471 + 1.27798i
\(767\) −11.5418 19.9909i −0.416750 0.721831i
\(768\) −5.31424 + 26.9429i −0.191761 + 0.972218i
\(769\) −36.3367 −1.31033 −0.655167 0.755484i \(-0.727402\pi\)
−0.655167 + 0.755484i \(0.727402\pi\)
\(770\) 3.57953 7.21732i 0.128997 0.260094i
\(771\) −2.21019 5.33587i −0.0795981 0.192167i
\(772\) −23.2648 + 17.2689i