Properties

Label 441.2.bn.a.164.29
Level $441$
Weight $2$
Character 441.164
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 164.29
Character \(\chi\) \(=\) 441.164
Dual form 441.2.bn.a.320.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0904053 - 0.187729i) q^{2} +(-1.50732 + 0.853225i) q^{3} +(1.21991 + 1.52972i) q^{4} +(-4.15472 - 1.28156i) q^{5} +(0.0239052 + 0.360103i) q^{6} +(1.29988 - 2.30441i) q^{7} +(0.803736 - 0.183448i) q^{8} +(1.54401 - 2.57216i) q^{9} +O(q^{10})\) \(q+(0.0904053 - 0.187729i) q^{2} +(-1.50732 + 0.853225i) q^{3} +(1.21991 + 1.52972i) q^{4} +(-4.15472 - 1.28156i) q^{5} +(0.0239052 + 0.360103i) q^{6} +(1.29988 - 2.30441i) q^{7} +(0.803736 - 0.183448i) q^{8} +(1.54401 - 2.57216i) q^{9} +(-0.616195 + 0.664100i) q^{10} +(2.20558 - 0.165285i) q^{11} +(-3.14399 - 1.26492i) q^{12} +(0.293625 - 0.0220042i) q^{13} +(-0.315087 - 0.452356i) q^{14} +(7.35595 - 1.61319i) q^{15} +(-0.832538 + 3.64759i) q^{16} +(1.14480 + 2.91691i) q^{17} +(-0.343281 - 0.522393i) q^{18} +(6.44462 - 3.72081i) q^{19} +(-3.10796 - 7.91895i) q^{20} +(0.00684483 + 4.58257i) q^{21} +(0.168367 - 0.428993i) q^{22} +(-0.499593 - 3.31458i) q^{23} +(-1.05496 + 0.962282i) q^{24} +(11.4881 + 7.83248i) q^{25} +(0.0224145 - 0.0571111i) q^{26} +(-0.132685 + 5.19446i) q^{27} +(5.11084 - 0.822719i) q^{28} +(1.14051 - 0.447615i) q^{29} +(0.362175 - 1.52676i) q^{30} -4.33179i q^{31} +(1.89858 + 1.51407i) q^{32} +(-3.18348 + 2.13099i) q^{33} +(0.651085 + 0.0487920i) q^{34} +(-8.35390 + 7.90831i) q^{35} +(5.81825 - 0.775901i) q^{36} +(1.40522 + 0.211804i) q^{37} +(-0.115873 - 1.54622i) q^{38} +(-0.423812 + 0.283696i) q^{39} +(-3.57440 - 0.267864i) q^{40} +(6.53912 - 6.06742i) q^{41} +(0.860898 + 0.413004i) q^{42} +(-2.89679 - 2.68782i) q^{43} +(2.94345 + 3.17229i) q^{44} +(-9.71134 + 8.70788i) q^{45} +(-0.667408 - 0.205868i) q^{46} +(1.56871 + 0.755453i) q^{47} +(-1.85731 - 6.20842i) q^{48} +(-3.62061 - 5.99092i) q^{49} +(2.50897 - 1.44855i) q^{50} +(-4.21437 - 3.41994i) q^{51} +(0.391857 + 0.422321i) q^{52} +(-1.51722 - 10.0661i) q^{53} +(0.963153 + 0.494516i) q^{54} +(-9.37540 - 2.13987i) q^{55} +(0.622024 - 2.09060i) q^{56} +(-6.53941 + 11.1072i) q^{57} +(0.0190776 - 0.254572i) q^{58} +(-1.27350 + 5.57959i) q^{59} +(11.4413 + 9.28459i) q^{60} +(-4.82899 - 3.85099i) q^{61} +(-0.813202 - 0.391617i) q^{62} +(-3.92028 - 6.90155i) q^{63} +(-6.28588 + 3.02712i) q^{64} +(-1.24813 - 0.284878i) q^{65} +(0.112245 + 0.790284i) q^{66} -11.8388 q^{67} +(-3.06550 + 5.30960i) q^{68} +(3.58113 + 4.56986i) q^{69} +(0.729379 + 2.28322i) q^{70} +(8.46790 - 6.75292i) q^{71} +(0.769123 - 2.35059i) q^{72} +(6.63042 + 0.496881i) q^{73} +(0.166801 - 0.244653i) q^{74} +(-23.9991 - 2.00407i) q^{75} +(13.5537 + 5.31942i) q^{76} +(2.48611 - 5.29741i) q^{77} +(0.0149429 + 0.105209i) q^{78} +15.4139 q^{79} +(8.13358 - 14.0878i) q^{80} +(-4.23204 - 7.94291i) q^{81} +(-0.547857 - 1.77611i) q^{82} +(-0.558426 + 7.45167i) q^{83} +(-7.00170 + 5.60080i) q^{84} +(-1.01814 - 13.5861i) q^{85} +(-0.766466 + 0.300816i) q^{86} +(-1.33719 + 1.64781i) q^{87} +(1.74238 - 0.537454i) q^{88} +(7.50422 + 5.11629i) q^{89} +(0.756761 + 2.61033i) q^{90} +(0.330972 - 0.705236i) q^{91} +(4.46092 - 4.80773i) q^{92} +(3.69600 + 6.52939i) q^{93} +(0.283640 - 0.226195i) q^{94} +(-31.5441 + 7.19973i) q^{95} +(-4.15361 - 0.662265i) q^{96} +(-4.59832 - 2.65484i) q^{97} +(-1.45199 + 0.138081i) q^{98} +(2.98030 - 5.92831i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0904053 0.187729i 0.0639262 0.132744i −0.866558 0.499077i \(-0.833673\pi\)
0.930484 + 0.366333i \(0.119387\pi\)
\(3\) −1.50732 + 0.853225i −0.870250 + 0.492610i
\(4\) 1.21991 + 1.52972i 0.609955 + 0.764860i
\(5\) −4.15472 1.28156i −1.85805 0.573132i −0.998021 0.0628858i \(-0.979970\pi\)
−0.860028 0.510246i \(-0.829554\pi\)
\(6\) 0.0239052 + 0.360103i 0.00975926 + 0.147011i
\(7\) 1.29988 2.30441i 0.491309 0.870985i
\(8\) 0.803736 0.183448i 0.284164 0.0648585i
\(9\) 1.54401 2.57216i 0.514671 0.857388i
\(10\) −0.616195 + 0.664100i −0.194858 + 0.210007i
\(11\) 2.20558 0.165285i 0.665007 0.0498354i 0.262050 0.965054i \(-0.415601\pi\)
0.402957 + 0.915219i \(0.367982\pi\)
\(12\) −3.14399 1.26492i −0.907591 0.365150i
\(13\) 0.293625 0.0220042i 0.0814370 0.00610286i −0.0339493 0.999424i \(-0.510808\pi\)
0.115386 + 0.993321i \(0.463189\pi\)
\(14\) −0.315087 0.452356i −0.0842107 0.120897i
\(15\) 7.35595 1.61319i 1.89930 0.416525i
\(16\) −0.832538 + 3.64759i −0.208135 + 0.911897i
\(17\) 1.14480 + 2.91691i 0.277656 + 0.707456i 0.999875 + 0.0157916i \(0.00502682\pi\)
−0.722219 + 0.691664i \(0.756878\pi\)
\(18\) −0.343281 0.522393i −0.0809122 0.123129i
\(19\) 6.44462 3.72081i 1.47850 0.853611i 0.478794 0.877927i \(-0.341074\pi\)
0.999704 + 0.0243161i \(0.00774081\pi\)
\(20\) −3.10796 7.91895i −0.694961 1.77073i
\(21\) 0.00684483 + 4.58257i 0.00149366 + 0.999999i
\(22\) 0.168367 0.428993i 0.0358961 0.0914617i
\(23\) −0.499593 3.31458i −0.104172 0.691138i −0.978568 0.205925i \(-0.933980\pi\)
0.874396 0.485214i \(-0.161258\pi\)
\(24\) −1.05496 + 0.962282i −0.215344 + 0.196425i
\(25\) 11.4881 + 7.83248i 2.29763 + 1.56650i
\(26\) 0.0224145 0.0571111i 0.00439584 0.0112004i
\(27\) −0.132685 + 5.19446i −0.0255353 + 0.999674i
\(28\) 5.11084 0.822719i 0.965858 0.155479i
\(29\) 1.14051 0.447615i 0.211786 0.0831201i −0.257076 0.966391i \(-0.582759\pi\)
0.468863 + 0.883271i \(0.344664\pi\)
\(30\) 0.362175 1.52676i 0.0661238 0.278748i
\(31\) 4.33179i 0.778013i −0.921235 0.389007i \(-0.872818\pi\)
0.921235 0.389007i \(-0.127182\pi\)
\(32\) 1.89858 + 1.51407i 0.335625 + 0.267652i
\(33\) −3.18348 + 2.13099i −0.554174 + 0.370958i
\(34\) 0.651085 + 0.0487920i 0.111660 + 0.00836777i
\(35\) −8.35390 + 7.90831i −1.41207 + 1.33675i
\(36\) 5.81825 0.775901i 0.969708 0.129317i
\(37\) 1.40522 + 0.211804i 0.231018 + 0.0348203i 0.263531 0.964651i \(-0.415113\pi\)
−0.0325131 + 0.999471i \(0.510351\pi\)
\(38\) −0.115873 1.54622i −0.0187971 0.250830i
\(39\) −0.423812 + 0.283696i −0.0678642 + 0.0454277i
\(40\) −3.57440 0.267864i −0.565163 0.0423531i
\(41\) 6.53912 6.06742i 1.02124 0.947572i 0.0226012 0.999745i \(-0.492805\pi\)
0.998638 + 0.0521730i \(0.0166147\pi\)
\(42\) 0.860898 + 0.413004i 0.132840 + 0.0637279i
\(43\) −2.89679 2.68782i −0.441756 0.409889i 0.427684 0.903928i \(-0.359330\pi\)
−0.869440 + 0.494039i \(0.835520\pi\)
\(44\) 2.94345 + 3.17229i 0.443742 + 0.478240i
\(45\) −9.71134 + 8.70788i −1.44768 + 1.29809i
\(46\) −0.667408 0.205868i −0.0984039 0.0303536i
\(47\) 1.56871 + 0.755453i 0.228820 + 0.110194i 0.544781 0.838578i \(-0.316613\pi\)
−0.315961 + 0.948772i \(0.602327\pi\)
\(48\) −1.85731 6.20842i −0.268080 0.896108i
\(49\) −3.62061 5.99092i −0.517230 0.855846i
\(50\) 2.50897 1.44855i 0.354822 0.204856i
\(51\) −4.21437 3.41994i −0.590130 0.478887i
\(52\) 0.391857 + 0.422321i 0.0543408 + 0.0585654i
\(53\) −1.51722 10.0661i −0.208406 1.38268i −0.811193 0.584779i \(-0.801181\pi\)
0.602787 0.797902i \(-0.294057\pi\)
\(54\) 0.963153 + 0.494516i 0.131069 + 0.0672950i
\(55\) −9.37540 2.13987i −1.26418 0.288541i
\(56\) 0.622024 2.09060i 0.0831215 0.279368i
\(57\) −6.53941 + 11.1072i −0.866166 + 1.47118i
\(58\) 0.0190776 0.254572i 0.00250501 0.0334270i
\(59\) −1.27350 + 5.57959i −0.165796 + 0.726400i 0.821851 + 0.569703i \(0.192942\pi\)
−0.987647 + 0.156697i \(0.949915\pi\)
\(60\) 11.4413 + 9.28459i 1.47707 + 1.19864i
\(61\) −4.82899 3.85099i −0.618288 0.493068i 0.263534 0.964650i \(-0.415112\pi\)
−0.881822 + 0.471582i \(0.843683\pi\)
\(62\) −0.813202 0.391617i −0.103277 0.0497355i
\(63\) −3.92028 6.90155i −0.493909 0.869514i
\(64\) −6.28588 + 3.02712i −0.785735 + 0.378390i
\(65\) −1.24813 0.284878i −0.154812 0.0353347i
\(66\) 0.112245 + 0.790284i 0.0138164 + 0.0972773i
\(67\) −11.8388 −1.44634 −0.723168 0.690673i \(-0.757315\pi\)
−0.723168 + 0.690673i \(0.757315\pi\)
\(68\) −3.06550 + 5.30960i −0.371747 + 0.643884i
\(69\) 3.58113 + 4.56986i 0.431118 + 0.550147i
\(70\) 0.729379 + 2.28322i 0.0871774 + 0.272897i
\(71\) 8.46790 6.75292i 1.00495 0.801424i 0.0248066 0.999692i \(-0.492103\pi\)
0.980148 + 0.198268i \(0.0635316\pi\)
\(72\) 0.769123 2.35059i 0.0906420 0.277019i
\(73\) 6.63042 + 0.496881i 0.776032 + 0.0581556i 0.456857 0.889540i \(-0.348975\pi\)
0.319175 + 0.947696i \(0.396594\pi\)
\(74\) 0.166801 0.244653i 0.0193903 0.0284403i
\(75\) −23.9991 2.00407i −2.77118 0.231410i
\(76\) 13.5537 + 5.31942i 1.55471 + 0.610179i
\(77\) 2.48611 5.29741i 0.283318 0.603696i
\(78\) 0.0149429 + 0.105209i 0.00169195 + 0.0119126i
\(79\) 15.4139 1.73419 0.867097 0.498139i \(-0.165983\pi\)
0.867097 + 0.498139i \(0.165983\pi\)
\(80\) 8.13358 14.0878i 0.909362 1.57506i
\(81\) −4.23204 7.94291i −0.470227 0.882545i
\(82\) −0.547857 1.77611i −0.0605006 0.196138i
\(83\) −0.558426 + 7.45167i −0.0612952 + 0.817927i 0.878838 + 0.477120i \(0.158319\pi\)
−0.940133 + 0.340807i \(0.889300\pi\)
\(84\) −7.00170 + 5.60080i −0.763948 + 0.611097i
\(85\) −1.01814 13.5861i −0.110433 1.47362i
\(86\) −0.766466 + 0.300816i −0.0826502 + 0.0324378i
\(87\) −1.33719 + 1.64781i −0.143361 + 0.176663i
\(88\) 1.74238 0.537454i 0.185739 0.0572928i
\(89\) 7.50422 + 5.11629i 0.795445 + 0.542325i 0.891484 0.453052i \(-0.149665\pi\)
−0.0960387 + 0.995378i \(0.530617\pi\)
\(90\) 0.756761 + 2.61033i 0.0797696 + 0.275153i
\(91\) 0.330972 0.705236i 0.0346953 0.0739288i
\(92\) 4.46092 4.80773i 0.465083 0.501241i
\(93\) 3.69600 + 6.52939i 0.383257 + 0.677066i
\(94\) 0.283640 0.226195i 0.0292553 0.0233303i
\(95\) −31.5441 + 7.19973i −3.23635 + 0.738677i
\(96\) −4.15361 0.662265i −0.423926 0.0675922i
\(97\) −4.59832 2.65484i −0.466889 0.269558i 0.248048 0.968748i \(-0.420211\pi\)
−0.714936 + 0.699190i \(0.753544\pi\)
\(98\) −1.45199 + 0.138081i −0.146673 + 0.0139483i
\(99\) 2.98030 5.92831i 0.299532 0.595818i
\(100\) 2.03300 + 27.1285i 0.203300 + 2.71285i
\(101\) 2.93413 2.72248i 0.291957 0.270896i −0.520571 0.853818i \(-0.674281\pi\)
0.812528 + 0.582922i \(0.198091\pi\)
\(102\) −1.02302 + 0.481977i −0.101294 + 0.0477228i
\(103\) −4.01842 + 13.0274i −0.395947 + 1.28363i 0.509978 + 0.860188i \(0.329654\pi\)
−0.905924 + 0.423440i \(0.860823\pi\)
\(104\) 0.231961 0.0715504i 0.0227456 0.00701609i
\(105\) 5.84441 19.0481i 0.570356 1.85890i
\(106\) −2.02685 0.625202i −0.196865 0.0607249i
\(107\) −3.69855 + 5.42478i −0.357553 + 0.524433i −0.962302 0.271982i \(-0.912321\pi\)
0.604750 + 0.796416i \(0.293273\pi\)
\(108\) −8.10793 + 6.13380i −0.780186 + 0.590226i
\(109\) −11.3404 + 7.73178i −1.08622 + 0.740570i −0.967630 0.252373i \(-0.918789\pi\)
−0.118587 + 0.992944i \(0.537836\pi\)
\(110\) −1.24930 + 1.56657i −0.119116 + 0.149367i
\(111\) −2.29884 + 0.879718i −0.218196 + 0.0834991i
\(112\) 7.32334 + 6.65995i 0.691991 + 0.629306i
\(113\) −2.79085 + 4.09342i −0.262541 + 0.385077i −0.934762 0.355273i \(-0.884388\pi\)
0.672222 + 0.740350i \(0.265340\pi\)
\(114\) 1.49393 + 2.23178i 0.139920 + 0.209025i
\(115\) −2.17217 + 14.4114i −0.202556 + 1.34387i
\(116\) 2.07604 + 1.19860i 0.192755 + 0.111287i
\(117\) 0.396763 0.789227i 0.0366808 0.0729640i
\(118\) 0.932317 + 0.743498i 0.0858267 + 0.0684445i
\(119\) 8.20988 + 1.15355i 0.752598 + 0.105745i
\(120\) 5.61631 2.64601i 0.512697 0.241547i
\(121\) −6.03987 + 0.910365i −0.549080 + 0.0827604i
\(122\) −1.15951 + 0.558389i −0.104977 + 0.0505542i
\(123\) −4.67966 + 14.7249i −0.421951 + 1.32770i
\(124\) 6.62643 5.28440i 0.595071 0.474553i
\(125\) −24.1379 30.2680i −2.15896 2.70725i
\(126\) −1.65003 + 0.112012i −0.146997 + 0.00997883i
\(127\) 2.67665 3.35641i 0.237514 0.297834i −0.648761 0.760992i \(-0.724713\pi\)
0.886275 + 0.463159i \(0.153284\pi\)
\(128\) 6.31047i 0.557772i
\(129\) 6.65970 + 1.57979i 0.586353 + 0.139093i
\(130\) −0.166317 + 0.208556i −0.0145870 + 0.0182915i
\(131\) 2.69322 + 2.49894i 0.235308 + 0.218334i 0.789009 0.614382i \(-0.210595\pi\)
−0.553701 + 0.832715i \(0.686785\pi\)
\(132\) −7.14339 2.27022i −0.621752 0.197597i
\(133\) −0.197008 19.6877i −0.0170828 1.70714i
\(134\) −1.07029 + 2.22247i −0.0924587 + 0.191993i
\(135\) 7.20829 21.4115i 0.620391 1.84281i
\(136\) 1.45522 + 2.13442i 0.124784 + 0.183025i
\(137\) −2.20740 7.15621i −0.188591 0.611396i −0.999651 0.0264329i \(-0.991585\pi\)
0.811060 0.584963i \(-0.198891\pi\)
\(138\) 1.18165 0.259141i 0.100589 0.0220595i
\(139\) 5.21072 + 5.61582i 0.441967 + 0.476327i 0.914268 0.405110i \(-0.132767\pi\)
−0.472301 + 0.881437i \(0.656576\pi\)
\(140\) −22.2885 3.13169i −1.88372 0.264676i
\(141\) −3.00912 + 0.199759i −0.253414 + 0.0168227i
\(142\) −0.502174 2.20017i −0.0421415 0.184634i
\(143\) 0.643977 0.0970639i 0.0538521 0.00811689i
\(144\) 8.09674 + 7.77335i 0.674729 + 0.647779i
\(145\) −5.31213 + 0.398089i −0.441148 + 0.0330595i
\(146\) 0.692704 1.19980i 0.0573286 0.0992961i
\(147\) 10.5690 + 5.94103i 0.871718 + 0.490008i
\(148\) 1.39025 + 2.40798i 0.114278 + 0.197935i
\(149\) 12.6684 + 18.5812i 1.03784 + 1.52223i 0.840437 + 0.541909i \(0.182298\pi\)
0.197402 + 0.980323i \(0.436749\pi\)
\(150\) −2.54587 + 4.32415i −0.207869 + 0.353065i
\(151\) −1.30852 + 3.33405i −0.106486 + 0.271321i −0.974178 0.225780i \(-0.927507\pi\)
0.867693 + 0.497101i \(0.165602\pi\)
\(152\) 4.49721 4.17280i 0.364772 0.338459i
\(153\) 9.27037 + 1.55913i 0.749465 + 0.126048i
\(154\) −0.769718 0.945628i −0.0620257 0.0762009i
\(155\) −5.55147 + 17.9974i −0.445904 + 1.44559i
\(156\) −0.950988 0.302230i −0.0761399 0.0241978i
\(157\) 11.7820 + 2.68916i 0.940306 + 0.214619i 0.665090 0.746764i \(-0.268393\pi\)
0.275216 + 0.961382i \(0.411251\pi\)
\(158\) 1.39349 2.89362i 0.110860 0.230204i
\(159\) 10.8755 + 13.8782i 0.862487 + 1.10062i
\(160\) −5.94772 8.72370i −0.470208 0.689669i
\(161\) −8.28757 3.15730i −0.653152 0.248830i
\(162\) −1.87371 + 0.0763943i −0.147213 + 0.00600210i
\(163\) 13.4839 4.15924i 1.05614 0.325777i 0.282413 0.959293i \(-0.408865\pi\)
0.773729 + 0.633516i \(0.218389\pi\)
\(164\) 17.2586 + 2.60131i 1.34767 + 0.203129i
\(165\) 15.9575 4.77386i 1.24229 0.371644i
\(166\) 1.34841 + 0.778503i 0.104657 + 0.0604236i
\(167\) −7.29102 1.09894i −0.564196 0.0850389i −0.139249 0.990257i \(-0.544469\pi\)
−0.424946 + 0.905218i \(0.639707\pi\)
\(168\) 0.846163 + 3.68192i 0.0652829 + 0.284067i
\(169\) −12.7691 + 1.92463i −0.982236 + 0.148048i
\(170\) −2.64255 1.03712i −0.202674 0.0795437i
\(171\) 0.380070 22.3216i 0.0290647 1.70698i
\(172\) 0.577798 7.71017i 0.0440567 0.587895i
\(173\) −7.56168 9.48204i −0.574904 0.720906i 0.406330 0.913726i \(-0.366808\pi\)
−0.981234 + 0.192820i \(0.938237\pi\)
\(174\) 0.188452 + 0.399999i 0.0142865 + 0.0303238i
\(175\) 32.9825 16.2921i 2.49324 1.23156i
\(176\) −1.23334 + 8.18266i −0.0929663 + 0.616791i
\(177\) −2.84107 9.49680i −0.213548 0.713823i
\(178\) 1.63889 0.946216i 0.122840 0.0709219i
\(179\) −9.54859 + 3.74755i −0.713695 + 0.280105i −0.694278 0.719707i \(-0.744276\pi\)
−0.0194170 + 0.999811i \(0.506181\pi\)
\(180\) −25.1676 4.23279i −1.87588 0.315494i
\(181\) −1.85284 3.84747i −0.137721 0.285980i 0.820689 0.571375i \(-0.193590\pi\)
−0.958410 + 0.285395i \(0.907875\pi\)
\(182\) −0.102471 0.125890i −0.00759568 0.00933158i
\(183\) 10.5646 + 1.68445i 0.780956 + 0.124518i
\(184\) −1.00959 2.57240i −0.0744282 0.189640i
\(185\) −5.56688 2.68087i −0.409285 0.197101i
\(186\) 1.55989 0.103552i 0.114377 0.00759283i
\(187\) 3.00708 + 6.24427i 0.219900 + 0.456626i
\(188\) 0.758060 + 3.32128i 0.0552872 + 0.242229i
\(189\) 11.7977 + 7.05795i 0.858155 + 0.513390i
\(190\) −1.50016 + 6.57262i −0.108833 + 0.476828i
\(191\) 15.9143 3.63234i 1.15152 0.262827i 0.396189 0.918169i \(-0.370333\pi\)
0.755332 + 0.655342i \(0.227476\pi\)
\(192\) 6.89201 9.92611i 0.497388 0.716355i
\(193\) 0.330684 + 1.44882i 0.0238032 + 0.104289i 0.985434 0.170058i \(-0.0543956\pi\)
−0.961631 + 0.274347i \(0.911538\pi\)
\(194\) −0.914102 + 0.623224i −0.0656287 + 0.0447449i
\(195\) 2.12440 0.635536i 0.152131 0.0455117i
\(196\) 4.74761 12.8469i 0.339115 0.917637i
\(197\) 1.25533i 0.0894382i 0.999000 + 0.0447191i \(0.0142393\pi\)
−0.999000 + 0.0447191i \(0.985761\pi\)
\(198\) −0.843479 1.09544i −0.0599434 0.0778495i
\(199\) 2.04377 6.62575i 0.144879 0.469687i −0.853826 0.520559i \(-0.825724\pi\)
0.998705 + 0.0508716i \(0.0161999\pi\)
\(200\) 10.6703 + 4.18778i 0.754503 + 0.296121i
\(201\) 17.8448 10.1011i 1.25867 0.712479i
\(202\) −0.245825 0.796947i −0.0172962 0.0560730i
\(203\) 0.451033 3.21004i 0.0316563 0.225301i
\(204\) 0.0903969 10.6188i 0.00632905 0.743466i
\(205\) −34.9440 + 16.8282i −2.44060 + 1.17533i
\(206\) 2.08233 + 1.93212i 0.145083 + 0.134617i
\(207\) −9.29703 3.83273i −0.646188 0.266393i
\(208\) −0.164192 + 1.08934i −0.0113847 + 0.0755324i
\(209\) 13.5991 9.27174i 0.940672 0.641339i
\(210\) −3.04750 2.81921i −0.210298 0.194544i
\(211\) −14.3280 9.76868i −0.986381 0.672503i −0.0412345 0.999149i \(-0.513129\pi\)
−0.945147 + 0.326646i \(0.894081\pi\)
\(212\) 13.5474 14.6006i 0.930439 1.00277i
\(213\) −7.00205 + 17.4038i −0.479772 + 1.19249i
\(214\) 0.684018 + 1.18475i 0.0467585 + 0.0809881i
\(215\) 8.59073 + 14.8796i 0.585883 + 1.01478i
\(216\) 0.846267 + 4.19932i 0.0575812 + 0.285727i
\(217\) −9.98223 5.63082i −0.677638 0.382245i
\(218\) 0.426240 + 2.82792i 0.0288686 + 0.191531i
\(219\) −10.4181 + 4.90828i −0.703990 + 0.331671i
\(220\) −8.16374 16.9522i −0.550399 1.14292i
\(221\) 0.400328 + 0.831289i 0.0269290 + 0.0559185i
\(222\) −0.0426789 + 0.511089i −0.00286442 + 0.0343020i
\(223\) 0.397619 + 2.63803i 0.0266266 + 0.176656i 0.998191 0.0601186i \(-0.0191479\pi\)
−0.971565 + 0.236774i \(0.923910\pi\)
\(224\) 5.95698 2.40700i 0.398017 0.160825i
\(225\) 37.8842 17.4559i 2.52562 1.16373i
\(226\) 0.516145 + 0.893989i 0.0343334 + 0.0594673i
\(227\) 7.51482 + 13.0160i 0.498776 + 0.863905i 0.999999 0.00141295i \(-0.000449755\pi\)
−0.501223 + 0.865318i \(0.667116\pi\)
\(228\) −24.9683 + 3.54627i −1.65357 + 0.234857i
\(229\) 1.09750 1.18282i 0.0725246 0.0781629i −0.695747 0.718287i \(-0.744927\pi\)
0.768272 + 0.640124i \(0.221117\pi\)
\(230\) 2.50906 + 1.71065i 0.165443 + 0.112797i
\(231\) 0.772529 + 10.1061i 0.0508287 + 0.664932i
\(232\) 0.834552 0.568988i 0.0547910 0.0373559i
\(233\) 3.61601 23.9907i 0.236893 1.57168i −0.481754 0.876307i \(-0.660000\pi\)
0.718647 0.695375i \(-0.244762\pi\)
\(234\) −0.112291 0.145834i −0.00734069 0.00953347i
\(235\) −5.54941 5.14910i −0.362004 0.335890i
\(236\) −10.0888 + 4.85849i −0.656723 + 0.316261i
\(237\) −23.2336 + 13.1515i −1.50918 + 0.854281i
\(238\) 0.958770 1.43694i 0.0621478 0.0931431i
\(239\) 1.88698 + 6.11744i 0.122059 + 0.395704i 0.995895 0.0905158i \(-0.0288516\pi\)
−0.873836 + 0.486220i \(0.838375\pi\)
\(240\) −0.239847 + 28.1745i −0.0154820 + 1.81866i
\(241\) 12.6398 + 4.96076i 0.814202 + 0.319551i 0.735652 0.677359i \(-0.236876\pi\)
0.0785498 + 0.996910i \(0.474971\pi\)
\(242\) −0.375135 + 1.21616i −0.0241146 + 0.0781777i
\(243\) 13.1561 + 8.36160i 0.843966 + 0.536397i
\(244\) 12.0849i 0.773654i
\(245\) 7.36490 + 29.5307i 0.470526 + 1.88665i
\(246\) 2.34121 + 2.20971i 0.149270 + 0.140886i
\(247\) 1.81043 1.23433i 0.115195 0.0785386i
\(248\) −0.794657 3.48162i −0.0504608 0.221083i
\(249\) −5.51623 11.7085i −0.349577 0.741996i
\(250\) −7.86436 + 1.79499i −0.497386 + 0.113525i
\(251\) 0.0813988 0.356632i 0.00513785 0.0225104i −0.972294 0.233761i \(-0.924897\pi\)
0.977432 + 0.211251i \(0.0677537\pi\)
\(252\) 5.77504 14.4162i 0.363793 0.908136i
\(253\) −1.64974 7.22800i −0.103719 0.454421i
\(254\) −0.388111 0.805922i −0.0243523 0.0505680i
\(255\) 13.1267 + 19.6099i 0.822024 + 1.22802i
\(256\) −11.3871 5.48374i −0.711694 0.342734i
\(257\) 0.979390 + 2.49544i 0.0610926 + 0.155662i 0.958161 0.286231i \(-0.0924025\pi\)
−0.897068 + 0.441893i \(0.854307\pi\)
\(258\) 0.898645 1.10739i 0.0559472 0.0689433i
\(259\) 2.31471 2.96289i 0.143829 0.184105i
\(260\) −1.08683 2.25682i −0.0674021 0.139962i
\(261\) 0.609616 3.62469i 0.0377343 0.224363i
\(262\) 0.712604 0.279676i 0.0440248 0.0172785i
\(263\) −17.3279 + 10.0043i −1.06848 + 0.616889i −0.927767 0.373161i \(-0.878274\pi\)
−0.140716 + 0.990050i \(0.544940\pi\)
\(264\) −2.16776 + 2.29676i −0.133416 + 0.141356i
\(265\) −6.59669 + 43.7661i −0.405231 + 2.68853i
\(266\) −3.71375 1.74289i −0.227705 0.106863i
\(267\) −15.6766 1.30909i −0.959391 0.0801147i
\(268\) −14.4422 18.1100i −0.882200 1.10624i
\(269\) 0.864179 11.5317i 0.0526899 0.703098i −0.906837 0.421482i \(-0.861510\pi\)
0.959527 0.281617i \(-0.0908707\pi\)
\(270\) −3.36788 3.28892i −0.204963 0.200157i
\(271\) −20.0069 7.85213i −1.21533 0.476983i −0.330907 0.943663i \(-0.607355\pi\)
−0.884426 + 0.466681i \(0.845450\pi\)
\(272\) −11.5928 + 1.74733i −0.702917 + 0.105948i
\(273\) 0.102845 + 1.34541i 0.00622449 + 0.0814278i
\(274\) −1.54299 0.232568i −0.0932152 0.0140499i
\(275\) 26.6326 + 15.3763i 1.60601 + 0.927228i
\(276\) −2.62195 + 11.0530i −0.157823 + 0.665310i
\(277\) −15.3866 2.31915i −0.924489 0.139344i −0.330490 0.943810i \(-0.607214\pi\)
−0.594000 + 0.804465i \(0.702452\pi\)
\(278\) 1.52533 0.470501i 0.0914830 0.0282188i
\(279\) −11.1421 6.68835i −0.667059 0.400421i
\(280\) −5.26357 + 7.88870i −0.314559 + 0.471440i
\(281\) 9.14630 + 13.4152i 0.545622 + 0.800281i 0.995693 0.0927120i \(-0.0295536\pi\)
−0.450071 + 0.892993i \(0.648601\pi\)
\(282\) −0.234540 + 0.582957i −0.0139667 + 0.0347146i
\(283\) −4.08588 + 8.48442i −0.242881 + 0.504347i −0.986399 0.164369i \(-0.947441\pi\)
0.743518 + 0.668715i \(0.233156\pi\)
\(284\) 20.6602 + 4.71555i 1.22595 + 0.279816i
\(285\) 41.4040 37.7665i 2.45256 2.23709i
\(286\) 0.0399973 0.129668i 0.00236509 0.00766743i
\(287\) −5.48173 22.9557i −0.323576 1.35503i
\(288\) 6.82588 2.54572i 0.402219 0.150008i
\(289\) 5.26407 4.88435i 0.309651 0.287314i
\(290\) −0.405512 + 1.03323i −0.0238125 + 0.0606733i
\(291\) 9.19630 + 0.0782871i 0.539097 + 0.00458927i
\(292\) 7.32843 + 10.7488i 0.428864 + 0.629028i
\(293\) −4.23345 7.33254i −0.247321 0.428372i 0.715461 0.698653i \(-0.246217\pi\)
−0.962781 + 0.270281i \(0.912883\pi\)
\(294\) 2.07080 1.44701i 0.120771 0.0843911i
\(295\) 12.4416 21.5496i 0.724381 1.25466i
\(296\) 1.16829 0.0875509i 0.0679052 0.00508879i
\(297\) 0.565920 + 11.4787i 0.0328380 + 0.666063i
\(298\) 4.63352 0.698390i 0.268413 0.0404567i
\(299\) −0.219628 0.962252i −0.0127014 0.0556485i
\(300\) −26.2111 39.1567i −1.51330 2.26071i
\(301\) −9.95933 + 3.18153i −0.574046 + 0.183380i
\(302\) 0.507600 + 0.547062i 0.0292091 + 0.0314799i
\(303\) −2.09978 + 6.60711i −0.120629 + 0.379569i
\(304\) 8.20657 + 26.6051i 0.470679 + 1.52590i
\(305\) 15.1278 + 22.1884i 0.866216 + 1.27051i
\(306\) 1.13078 1.59936i 0.0646427 0.0914293i
\(307\) −1.58979 + 3.30122i −0.0907339 + 0.188411i −0.941397 0.337300i \(-0.890486\pi\)
0.850663 + 0.525711i \(0.176201\pi\)
\(308\) 11.1364 2.65932i 0.634555 0.151529i
\(309\) −5.05827 23.0650i −0.287755 1.31212i
\(310\) 2.87675 + 2.66923i 0.163388 + 0.151602i
\(311\) −13.2458 + 16.6097i −0.751101 + 0.941851i −0.999642 0.0267705i \(-0.991478\pi\)
0.248541 + 0.968621i \(0.420049\pi\)
\(312\) −0.288590 + 0.305764i −0.0163382 + 0.0173105i
\(313\) 18.6617i 1.05482i −0.849610 0.527412i \(-0.823162\pi\)
0.849610 0.527412i \(-0.176838\pi\)
\(314\) 1.56999 1.96870i 0.0885996 0.111100i
\(315\) 7.44292 + 33.6981i 0.419361 + 1.89867i
\(316\) 18.8035 + 23.5789i 1.05778 + 1.32642i
\(317\) 18.2038 14.5170i 1.02243 0.815357i 0.0394741 0.999221i \(-0.487432\pi\)
0.982952 + 0.183863i \(0.0588603\pi\)
\(318\) 3.58855 0.786985i 0.201236 0.0441319i
\(319\) 2.44149 1.17576i 0.136697 0.0658299i
\(320\) 29.9956 4.52110i 1.67680 0.252737i
\(321\) 0.946335 11.3326i 0.0528193 0.632522i
\(322\) −1.34196 + 1.27038i −0.0747843 + 0.0707954i
\(323\) 18.2311 + 14.5388i 1.01441 + 0.808962i
\(324\) 6.98771 16.1635i 0.388206 0.897971i
\(325\) 3.54555 + 2.04703i 0.196672 + 0.113549i
\(326\) 0.438210 2.90734i 0.0242702 0.161022i
\(327\) 10.4967 21.3302i 0.580469 1.17956i
\(328\) 4.14268 6.07619i 0.228741 0.335502i
\(329\) 3.78002 2.63296i 0.208399 0.145160i
\(330\) 0.546454 3.42726i 0.0300813 0.188665i
\(331\) −11.0884 + 13.9045i −0.609476 + 0.764258i −0.986821 0.161814i \(-0.948265\pi\)
0.377346 + 0.926073i \(0.376837\pi\)
\(332\) −12.0802 + 8.23614i −0.662987 + 0.452017i
\(333\) 2.71448 3.28744i 0.148753 0.180151i
\(334\) −0.865450 + 1.26938i −0.0473553 + 0.0694575i
\(335\) 49.1868 + 15.1721i 2.68736 + 0.828941i
\(336\) −16.7210 3.79020i −0.912207 0.206772i
\(337\) 18.6747 5.76040i 1.01728 0.313789i 0.259110 0.965848i \(-0.416571\pi\)
0.758168 + 0.652059i \(0.226095\pi\)
\(338\) −0.793084 + 2.57112i −0.0431381 + 0.139850i
\(339\) 0.714084 8.55131i 0.0387837 0.464443i
\(340\) 19.5409 18.1313i 1.05975 0.983308i
\(341\) −0.715982 9.55412i −0.0387726 0.517385i
\(342\) −4.15604 2.08934i −0.224733 0.112979i
\(343\) −18.5119 + 0.555877i −0.999549 + 0.0300145i
\(344\) −2.82133 1.62889i −0.152116 0.0878241i
\(345\) −9.02204 23.5760i −0.485730 1.26929i
\(346\) −2.46367 + 0.562316i −0.132448 + 0.0302303i
\(347\) −21.4422 + 17.0996i −1.15108 + 0.917954i −0.997534 0.0701880i \(-0.977640\pi\)
−0.153544 + 0.988142i \(0.549069\pi\)
\(348\) −4.15193 0.0353449i −0.222567 0.00189469i
\(349\) −6.15966 + 6.63854i −0.329719 + 0.355353i −0.876053 0.482215i \(-0.839833\pi\)
0.546334 + 0.837568i \(0.316023\pi\)
\(350\) −0.0766977 7.66464i −0.00409966 0.409692i
\(351\) 0.0753400 + 1.52814i 0.00402135 + 0.0815663i
\(352\) 4.43773 + 3.02560i 0.236532 + 0.161265i
\(353\) −34.2626 + 10.5686i −1.82361 + 0.562510i −0.999989 0.00462906i \(-0.998527\pi\)
−0.823622 + 0.567139i \(0.808050\pi\)
\(354\) −2.03967 0.325211i −0.108407 0.0172848i
\(355\) −43.8361 + 17.2044i −2.32658 + 0.913114i
\(356\) 1.32799 + 17.7208i 0.0703832 + 0.939198i
\(357\) −13.3591 + 5.26611i −0.707040 + 0.278712i
\(358\) −0.159722 + 2.13134i −0.00844157 + 0.112645i
\(359\) 1.02753 + 3.33117i 0.0542309 + 0.175812i 0.978636 0.205599i \(-0.0659143\pi\)
−0.924405 + 0.381411i \(0.875438\pi\)
\(360\) −6.20792 + 8.78036i −0.327186 + 0.462766i
\(361\) 18.1888 31.5039i 0.957305 1.65810i
\(362\) −0.889787 −0.0467661
\(363\) 8.32726 6.52558i 0.437068 0.342504i
\(364\) 1.48257 0.354031i 0.0777077 0.0185563i
\(365\) −26.9108 10.5617i −1.40857 0.552825i
\(366\) 1.27131 1.83099i 0.0664526 0.0957074i
\(367\) −3.02441 + 4.43600i −0.157873 + 0.231557i −0.897023 0.441983i \(-0.854275\pi\)
0.739150 + 0.673541i \(0.235227\pi\)
\(368\) 12.5062 + 0.937208i 0.651929 + 0.0488553i
\(369\) −5.50989 26.1879i −0.286834 1.36329i
\(370\) −1.00655 + 0.802698i −0.0523281 + 0.0417303i
\(371\) −25.1686 9.58842i −1.30669 0.497806i
\(372\) −5.47935 + 13.6191i −0.284091 + 0.706118i
\(373\) 3.61369 6.25909i 0.187110 0.324083i −0.757176 0.653211i \(-0.773421\pi\)
0.944285 + 0.329128i \(0.106755\pi\)
\(374\) 1.44408 0.0746718
\(375\) 62.2089 + 25.0284i 3.21245 + 1.29246i
\(376\) 1.39942 + 0.319408i 0.0721695 + 0.0164722i
\(377\) 0.325032 0.156527i 0.0167400 0.00806155i
\(378\) 2.39155 1.57669i 0.123008 0.0810960i
\(379\) 12.8765 + 6.20100i 0.661422 + 0.318524i 0.734308 0.678816i \(-0.237507\pi\)
−0.0728861 + 0.997340i \(0.523221\pi\)
\(380\) −49.4945 39.4706i −2.53902 2.02480i
\(381\) −1.17079 + 7.34297i −0.0599812 + 0.376192i
\(382\) 0.756846 3.31596i 0.0387236 0.169659i
\(383\) 0.287318 3.83400i 0.0146813 0.195908i −0.985041 0.172323i \(-0.944873\pi\)
0.999722 0.0235854i \(-0.00750816\pi\)
\(384\) −5.38425 9.51188i −0.274764 0.485401i
\(385\) −17.1181 + 18.8232i −0.872417 + 0.959318i
\(386\) 0.301881 + 0.0689024i 0.0153653 + 0.00350704i
\(387\) −11.3862 + 3.30097i −0.578793 + 0.167798i
\(388\) −1.54838 10.2728i −0.0786069 0.521523i
\(389\) 12.7773 + 13.7706i 0.647833 + 0.698198i 0.968506 0.248992i \(-0.0800993\pi\)
−0.320672 + 0.947190i \(0.603909\pi\)
\(390\) 0.0727485 0.456266i 0.00368376 0.0231039i
\(391\) 9.09642 5.25182i 0.460026 0.265596i
\(392\) −4.00904 4.15093i −0.202487 0.209654i
\(393\) −6.19169 1.46878i −0.312330 0.0740900i
\(394\) 0.235661 + 0.113488i 0.0118724 + 0.00571745i
\(395\) −64.0403 19.7538i −3.22222 0.993922i
\(396\) 12.7044 2.67298i 0.638418 0.134322i
\(397\) −9.19816 9.91325i −0.461642 0.497532i 0.458730 0.888576i \(-0.348305\pi\)
−0.920372 + 0.391044i \(0.872114\pi\)
\(398\) −1.05908 0.982678i −0.0530866 0.0492572i
\(399\) 17.0950 + 29.5075i 0.855819 + 1.47722i
\(400\) −38.1340 + 35.3832i −1.90670 + 1.76916i
\(401\) 18.1713 + 1.36175i 0.907434 + 0.0680027i 0.520264 0.854006i \(-0.325834\pi\)
0.387170 + 0.922008i \(0.373453\pi\)
\(402\) −0.283008 4.26317i −0.0141152 0.212628i
\(403\) −0.0953175 1.27192i −0.00474810 0.0633591i
\(404\) 7.74400 + 1.16722i 0.385278 + 0.0580714i
\(405\) 7.40364 + 38.4242i 0.367890 + 1.90932i
\(406\) −0.561840 0.374876i −0.0278837 0.0186048i
\(407\) 3.13434 + 0.234887i 0.155364 + 0.0116429i
\(408\) −4.01462 1.97561i −0.198753 0.0978075i
\(409\) 13.7215 + 10.9425i 0.678484 + 0.541073i 0.900980 0.433861i \(-0.142849\pi\)
−0.222496 + 0.974934i \(0.571420\pi\)
\(410\) 8.08135i 0.399109i
\(411\) 9.43311 + 8.90327i 0.465301 + 0.439166i
\(412\) −24.8304 + 9.74520i −1.22330 + 0.480112i
\(413\) 11.2023 + 10.1875i 0.551227 + 0.501293i
\(414\) −1.56001 + 1.39882i −0.0766705 + 0.0687482i
\(415\) 11.8699 30.2440i 0.582670 1.48462i
\(416\) 0.590788 + 0.402792i 0.0289658 + 0.0197485i
\(417\) −12.6458 4.01891i −0.619266 0.196807i
\(418\) −0.511135 3.39116i −0.0250005 0.165867i
\(419\) −13.0064 + 33.1397i −0.635402 + 1.61898i 0.141921 + 0.989878i \(0.454672\pi\)
−0.777324 + 0.629101i \(0.783423\pi\)
\(420\) 36.2679 14.2967i 1.76969 0.697605i
\(421\) 2.05918 + 5.24671i 0.100358 + 0.255709i 0.972231 0.234024i \(-0.0751895\pi\)
−0.871872 + 0.489733i \(0.837094\pi\)
\(422\) −3.12919 + 1.80664i −0.152327 + 0.0879458i
\(423\) 4.36526 2.86856i 0.212246 0.139474i
\(424\) −3.06604 7.81214i −0.148900 0.379391i
\(425\) −9.69500 + 42.4766i −0.470276 + 2.06042i
\(426\) 2.63417 + 2.88788i 0.127626 + 0.139918i
\(427\) −15.1514 + 6.12213i −0.733226 + 0.296271i
\(428\) −12.8103 + 0.959999i −0.619209 + 0.0464033i
\(429\) −0.887861 + 0.695764i −0.0428663 + 0.0335918i
\(430\) 3.56997 0.267532i 0.172159 0.0129016i
\(431\) −17.7036 + 19.0800i −0.852753 + 0.919050i −0.997518 0.0704166i \(-0.977567\pi\)
0.144764 + 0.989466i \(0.453758\pi\)
\(432\) −18.8368 4.80857i −0.906285 0.231352i
\(433\) 12.8111 2.92404i 0.615660 0.140520i 0.0966924 0.995314i \(-0.469174\pi\)
0.518968 + 0.854794i \(0.326317\pi\)
\(434\) −1.95951 + 1.36489i −0.0940597 + 0.0655170i
\(435\) 7.66741 5.13249i 0.367624 0.246084i
\(436\) −25.6618 7.91561i −1.22898 0.379089i
\(437\) −15.5526 19.5024i −0.743982 0.932924i
\(438\) −0.0204268 + 2.39951i −0.000976029 + 0.114653i
\(439\) −6.21402 + 12.9035i −0.296579 + 0.615852i −0.995004 0.0998303i \(-0.968170\pi\)
0.698426 + 0.715683i \(0.253884\pi\)
\(440\) −7.92791 −0.377948
\(441\) −20.9999 + 0.0627338i −0.999996 + 0.00298732i
\(442\) 0.192248 0.00914433
\(443\) −9.35045 + 19.4164i −0.444253 + 0.922501i 0.551820 + 0.833963i \(0.313934\pi\)
−0.996073 + 0.0885378i \(0.971781\pi\)
\(444\) −4.15010 2.44340i −0.196955 0.115959i
\(445\) −24.6211 30.8739i −1.16715 1.46356i
\(446\) 0.531181 + 0.163848i 0.0251522 + 0.00775841i
\(447\) −34.9493 17.1987i −1.65305 0.813472i
\(448\) −1.19518 + 18.4202i −0.0564669 + 0.870270i
\(449\) 4.55420 1.03947i 0.214926 0.0490555i −0.113702 0.993515i \(-0.536271\pi\)
0.328628 + 0.944459i \(0.393414\pi\)
\(450\) 0.147966 8.69006i 0.00697518 0.409653i
\(451\) 13.4197 14.4630i 0.631909 0.681036i
\(452\) −9.66637 + 0.724395i −0.454668 + 0.0340727i
\(453\) −0.872343 6.14194i −0.0409862 0.288573i
\(454\) 3.12286 0.234026i 0.146563 0.0109834i
\(455\) −2.27890 + 2.50590i −0.106836 + 0.117478i
\(456\) −3.21838 + 10.1269i −0.150715 + 0.474234i
\(457\) −4.82065 + 21.1207i −0.225501 + 0.987982i 0.727760 + 0.685832i \(0.240562\pi\)
−0.953260 + 0.302150i \(0.902296\pi\)
\(458\) −0.122830 0.312965i −0.00573945 0.0146239i
\(459\) −15.3037 + 5.55961i −0.714315 + 0.259500i
\(460\) −24.6953 + 14.2578i −1.15143 + 0.664776i
\(461\) −6.70259 17.0779i −0.312171 0.795398i −0.997727 0.0673786i \(-0.978536\pi\)
0.685557 0.728019i \(-0.259559\pi\)
\(462\) 1.96704 + 0.768619i 0.0915152 + 0.0357594i
\(463\) 12.0115 30.6048i 0.558222 1.42233i −0.321533 0.946898i \(-0.604198\pi\)
0.879755 0.475427i \(-0.157707\pi\)
\(464\) 0.683202 + 4.53275i 0.0317169 + 0.210428i
\(465\) −6.98802 31.8645i −0.324062 1.47768i
\(466\) −4.17683 2.84771i −0.193488 0.131918i
\(467\) −3.65587 + 9.31500i −0.169173 + 0.431047i −0.990167 0.139891i \(-0.955325\pi\)
0.820993 + 0.570938i \(0.193420\pi\)
\(468\) 1.69131 0.355850i 0.0781809 0.0164492i
\(469\) −15.3890 + 27.2814i −0.710598 + 1.25974i
\(470\) −1.46833 + 0.576277i −0.0677290 + 0.0265817i
\(471\) −20.0537 + 5.99927i −0.924025 + 0.276432i
\(472\) 4.71814i 0.217170i
\(473\) −6.83335 5.44941i −0.314198 0.250564i
\(474\) 0.368471 + 5.55057i 0.0169244 + 0.254946i
\(475\) 103.180 + 7.73226i 4.73422 + 0.354780i
\(476\) 8.25071 + 13.9660i 0.378171 + 0.640132i
\(477\) −28.2342 11.6396i −1.29275 0.532942i
\(478\) 1.31901 + 0.198809i 0.0603302 + 0.00909331i
\(479\) −0.0569310 0.759692i −0.00260125 0.0347112i 0.995752 0.0920744i \(-0.0293498\pi\)
−0.998353 + 0.0573632i \(0.981731\pi\)
\(480\) 16.4084 + 8.07464i 0.748937 + 0.368555i
\(481\) 0.417270 + 0.0312701i 0.0190259 + 0.00142579i
\(482\) 2.07398 1.92438i 0.0944674 0.0876529i
\(483\) 15.1859 2.31211i 0.690982 0.105205i
\(484\) −8.76071 8.12875i −0.398214 0.369489i
\(485\) 15.7024 + 16.9232i 0.713009 + 0.768441i
\(486\) 2.75910 1.71385i 0.125155 0.0777417i
\(487\) −14.6828 4.52905i −0.665343 0.205231i −0.0563551 0.998411i \(-0.517948\pi\)
−0.608988 + 0.793180i \(0.708424\pi\)
\(488\) −4.58769 2.20931i −0.207675 0.100011i
\(489\) −16.7758 + 17.7741i −0.758627 + 0.803773i
\(490\) 6.20958 + 1.28713i 0.280520 + 0.0581465i
\(491\) −30.0717 + 17.3619i −1.35712 + 0.783532i −0.989234 0.146339i \(-0.953251\pi\)
−0.367884 + 0.929872i \(0.619918\pi\)
\(492\) −28.2337 + 10.8045i −1.27287 + 0.487103i
\(493\) 2.61131 + 2.81432i 0.117608 + 0.126751i
\(494\) −0.0680466 0.451460i −0.00306156 0.0203121i
\(495\) −19.9798 + 20.8111i −0.898027 + 0.935388i
\(496\) 15.8006 + 3.60639i 0.709468 + 0.161931i
\(497\) −4.55423 28.2915i −0.204285 1.26905i
\(498\) −2.69672 0.0229569i −0.120843 0.00102872i
\(499\) −0.706160 + 9.42305i −0.0316121 + 0.421834i 0.958837 + 0.283956i \(0.0916471\pi\)
−0.990449 + 0.137878i \(0.955972\pi\)
\(500\) 16.8554 73.8484i 0.753797 3.30260i
\(501\) 11.9275 4.56442i 0.532883 0.203923i
\(502\) −0.0595911 0.0475223i −0.00265968 0.00212102i
\(503\) 12.1848 + 5.86790i 0.543294 + 0.261637i 0.685340 0.728223i \(-0.259654\pi\)
−0.142046 + 0.989860i \(0.545368\pi\)
\(504\) −4.41695 4.82786i −0.196746 0.215050i
\(505\) −15.6795 + 7.55086i −0.697730 + 0.336009i
\(506\) −1.50605 0.343746i −0.0669520 0.0152814i
\(507\) 17.6049 13.7959i 0.781861 0.612698i
\(508\) 8.39965 0.372674
\(509\) 18.0938 31.3394i 0.801993 1.38909i −0.116309 0.993213i \(-0.537106\pi\)
0.918302 0.395880i \(-0.129560\pi\)
\(510\) 4.86806 0.691413i 0.215561 0.0306163i
\(511\) 9.76378 14.6333i 0.431924 0.647340i
\(512\) −11.9264 + 9.51095i −0.527075 + 0.420329i
\(513\) 18.4725 + 33.9700i 0.815579 + 1.49981i
\(514\) 0.557008 + 0.0417420i 0.0245686 + 0.00184116i
\(515\) 33.3908 48.9754i 1.47138 2.15811i
\(516\) 5.70759 + 12.1147i 0.251263 + 0.533319i
\(517\) 3.58479 + 1.40693i 0.157659 + 0.0618765i
\(518\) −0.346958 0.702399i −0.0152445 0.0308616i
\(519\) 19.4882 + 7.84064i 0.855436 + 0.344166i
\(520\) −1.05543 −0.0462836
\(521\) −4.49660 + 7.78833i −0.196999 + 0.341213i −0.947554 0.319595i \(-0.896453\pi\)
0.750555 + 0.660808i \(0.229786\pi\)
\(522\) −0.625345 0.442134i −0.0273706 0.0193517i
\(523\) 12.7696 + 41.3982i 0.558378 + 1.81022i 0.585618 + 0.810587i \(0.300852\pi\)
−0.0272404 + 0.999629i \(0.508672\pi\)
\(524\) −0.537194 + 7.16835i −0.0234674 + 0.313151i
\(525\) −35.8142 + 52.6988i −1.56306 + 2.29996i
\(526\) 0.311552 + 4.15738i 0.0135843 + 0.181270i
\(527\) 12.6355 4.95906i 0.550410 0.216020i
\(528\) −5.12262 13.3862i −0.222933 0.582559i
\(529\) 11.2413 3.46748i 0.488752 0.150760i
\(530\) 7.61978 + 5.19508i 0.330982 + 0.225660i
\(531\) 12.3853 + 11.8906i 0.537476 + 0.516009i
\(532\) 29.8763 24.3186i 1.29530 1.05434i
\(533\) 1.78654 1.92543i 0.0773837 0.0833998i
\(534\) −1.66300 + 2.82459i −0.0719650 + 0.122232i
\(535\) 22.3187 17.7985i 0.964920 0.769498i
\(536\) −9.51525 + 2.17179i −0.410996 + 0.0938072i
\(537\) 11.1953 13.7958i 0.483111 0.595334i
\(538\) −2.08670 1.20476i −0.0899640 0.0519407i
\(539\) −8.97576 12.6150i −0.386613 0.543368i
\(540\) 41.5471 15.0934i 1.78790 0.649518i
\(541\) −0.348028 4.64411i −0.0149629 0.199666i −0.999675 0.0254783i \(-0.991889\pi\)
0.984712 0.174188i \(-0.0557299\pi\)
\(542\) −3.28280 + 3.04599i −0.141008 + 0.130837i
\(543\) 6.07558 + 4.21846i 0.260728 + 0.181032i
\(544\) −2.24291 + 7.27132i −0.0961638 + 0.311755i
\(545\) 57.0252 17.5899i 2.44269 0.753470i
\(546\) 0.261869 + 0.102325i 0.0112070 + 0.00437911i
\(547\) −17.1589 5.29281i −0.733660 0.226304i −0.0946585 0.995510i \(-0.530176\pi\)
−0.639001 + 0.769206i \(0.720652\pi\)
\(548\) 8.25416 12.1066i 0.352600 0.517170i
\(549\) −17.3614 + 6.47496i −0.740966 + 0.276345i
\(550\) 5.29431 3.60960i 0.225750 0.153914i
\(551\) 5.68464 7.12831i 0.242174 0.303676i
\(552\) 3.71662 + 3.01602i 0.158190 + 0.128370i
\(553\) 20.0362 35.5198i 0.852026 1.51046i
\(554\) −1.82640 + 2.67884i −0.0775963 + 0.113813i
\(555\) 10.6784 0.708882i 0.453275 0.0300904i
\(556\) −2.23402 + 14.8217i −0.0947434 + 0.628581i
\(557\) −4.64829 2.68369i −0.196954 0.113712i 0.398280 0.917264i \(-0.369607\pi\)
−0.595234 + 0.803552i \(0.702941\pi\)
\(558\) −2.26290 + 1.48702i −0.0957961 + 0.0629508i
\(559\) −0.909713 0.725472i −0.0384767 0.0306842i
\(560\) −21.8913 37.0556i −0.925077 1.56588i
\(561\) −9.86039 6.84638i −0.416306 0.289054i
\(562\) 3.34528 0.504220i 0.141112 0.0212692i
\(563\) 20.6082 9.92440i 0.868534 0.418264i 0.0541104 0.998535i \(-0.482768\pi\)
0.814423 + 0.580271i \(0.197053\pi\)
\(564\) −3.97643 4.35942i −0.167438 0.183565i
\(565\) 16.8412 13.4304i 0.708514 0.565021i
\(566\) 1.22338 + 1.53407i 0.0514226 + 0.0644819i
\(567\) −23.8049 0.572484i −0.999711 0.0240421i
\(568\) 5.56715 6.98099i 0.233592 0.292916i
\(569\) 16.8489i 0.706341i 0.935559 + 0.353171i \(0.114896\pi\)
−0.935559 + 0.353171i \(0.885104\pi\)
\(570\) −3.34671 11.1870i −0.140178 0.468572i
\(571\) 23.1024 28.9695i 0.966804 1.21233i −0.0103814 0.999946i \(-0.503305\pi\)
0.977185 0.212388i \(-0.0681240\pi\)
\(572\) 0.934075 + 0.866695i 0.0390556 + 0.0362383i
\(573\) −20.8888 + 19.0536i −0.872640 + 0.795976i
\(574\) −4.80503 1.04624i −0.200558 0.0436694i
\(575\) 20.2220 41.9914i 0.843316 1.75116i
\(576\) −1.91924 + 20.8422i −0.0799683 + 0.868426i
\(577\) 3.12823 + 4.58828i 0.130230 + 0.191013i 0.885815 0.464038i \(-0.153600\pi\)
−0.755585 + 0.655050i \(0.772647\pi\)
\(578\) −0.441031 1.42979i −0.0183445 0.0594713i
\(579\) −1.73462 1.90169i −0.0720883 0.0790314i
\(580\) −7.08929 7.64044i −0.294367 0.317252i
\(581\) 16.4458 + 10.9731i 0.682288 + 0.455243i
\(582\) 0.846092 1.71933i 0.0350716 0.0712686i
\(583\) −5.01012 21.9507i −0.207498 0.909107i
\(584\) 5.42026 0.816973i 0.224292 0.0338066i
\(585\) −2.65988 + 2.77054i −0.109973 + 0.114548i
\(586\) −1.75925 + 0.131838i −0.0726741 + 0.00544617i
\(587\) 12.8710 22.2933i 0.531244 0.920141i −0.468091 0.883680i \(-0.655058\pi\)
0.999335 0.0364611i \(-0.0116085\pi\)
\(588\) 3.80515 + 23.4152i 0.156922 + 0.965625i
\(589\) −16.1178 27.9168i −0.664121 1.15029i
\(590\) −2.92068 4.28385i −0.120242 0.176363i
\(591\) −1.07108 1.89217i −0.0440581 0.0778337i
\(592\) −1.94248 + 4.94935i −0.0798353 + 0.203417i
\(593\) 25.0208 23.2159i 1.02748 0.953363i 0.0285500 0.999592i \(-0.490911\pi\)
0.998931 + 0.0462294i \(0.0147205\pi\)
\(594\) 2.20605 + 0.931499i 0.0905152 + 0.0382198i
\(595\) −32.6314 15.3141i −1.33776 0.627818i
\(596\) −12.9697 + 42.0466i −0.531258 + 1.72229i
\(597\) 2.57264 + 11.7309i 0.105291 + 0.480114i
\(598\) −0.200498 0.0457623i −0.00819896 0.00187136i
\(599\) 1.59499 3.31202i 0.0651693 0.135326i −0.865840 0.500321i \(-0.833215\pi\)
0.931009 + 0.364996i \(0.118930\pi\)
\(600\) −19.6566 + 2.79184i −0.802478 + 0.113976i
\(601\) −26.7094 39.1755i −1.08950 1.59800i −0.755149 0.655553i \(-0.772435\pi\)
−0.334350 0.942449i \(-0.608517\pi\)
\(602\) −0.303113 + 2.15728i −0.0123540 + 0.0879241i
\(603\) −18.2792 + 30.4512i −0.744387 + 1.24007i
\(604\) −6.69644 + 2.06558i −0.272474 + 0.0840472i
\(605\) 26.2607 + 3.95816i 1.06765 + 0.160922i
\(606\) 1.05051 + 0.991507i 0.0426741 + 0.0402772i
\(607\) −21.9514 12.6737i −0.890980 0.514408i −0.0167173 0.999860i \(-0.505322\pi\)
−0.874263 + 0.485453i \(0.838655\pi\)
\(608\) 17.8692 + 2.69335i 0.724693 + 0.109230i
\(609\) 2.05904 + 5.22338i 0.0834363 + 0.211662i
\(610\) 5.53304 0.833972i 0.224026 0.0337665i
\(611\) 0.477237 + 0.187302i 0.0193069 + 0.00757742i
\(612\) 8.92399 + 16.0831i 0.360731 + 0.650120i
\(613\) −2.79711 + 37.3248i −0.112974 + 1.50754i 0.596391 + 0.802694i \(0.296601\pi\)
−0.709365 + 0.704841i \(0.751018\pi\)
\(614\) 0.476009 + 0.596897i 0.0192102 + 0.0240888i
\(615\) 38.3135 55.1805i 1.54495 2.22509i
\(616\) 1.02638 4.71379i 0.0413540 0.189924i
\(617\) −5.07341 + 33.6599i −0.204248 + 1.35510i 0.618095 + 0.786103i \(0.287905\pi\)
−0.822343 + 0.568992i \(0.807333\pi\)
\(618\) −4.78726 1.13562i −0.192572 0.0456814i
\(619\) 2.06481 1.19212i 0.0829916 0.0479152i −0.457930 0.888988i \(-0.651409\pi\)
0.540921 + 0.841073i \(0.318076\pi\)
\(620\) −34.3033 + 13.4630i −1.37765 + 0.540689i
\(621\) 17.2838 2.15532i 0.693573 0.0864900i
\(622\) 1.92063 + 3.98823i 0.0770102 + 0.159913i
\(623\) 21.5446 10.6422i 0.863167 0.426371i
\(624\) −0.681966 1.78208i −0.0273005 0.0713403i
\(625\) 36.0972 + 91.9743i 1.44389 + 3.67897i
\(626\) −3.50334 1.68712i −0.140022 0.0674309i
\(627\) −12.5873 + 25.5786i −0.502690 + 1.02151i
\(628\) 10.2593 + 21.3037i 0.409391 + 0.850110i
\(629\) 0.990895 + 4.34139i 0.0395096 + 0.173103i
\(630\) 6.99898 + 1.64924i 0.278846 + 0.0657073i
\(631\) −8.04991 + 35.2689i −0.320462 + 1.40403i 0.516272 + 0.856425i \(0.327319\pi\)
−0.836734 + 0.547610i \(0.815538\pi\)
\(632\) 12.3887 2.82763i 0.492795 0.112477i
\(633\) 29.9318 + 2.49947i 1.18968 + 0.0993452i
\(634\) −1.07954 4.72979i −0.0428741 0.187844i
\(635\) −15.4222 + 10.5147i −0.612011 + 0.417262i
\(636\) −7.96261 + 33.5668i −0.315738 + 1.33101i
\(637\) −1.19493 1.67942i −0.0473448 0.0665410i
\(638\) 0.564633i 0.0223540i
\(639\) −4.29507 32.2074i −0.169910 1.27411i
\(640\) 8.08726 26.2183i 0.319677 1.03637i
\(641\) 14.8034 + 5.80992i 0.584701 + 0.229478i 0.639206 0.769035i \(-0.279263\pi\)
−0.0545054 + 0.998513i \(0.517358\pi\)
\(642\) −2.04189 1.20218i −0.0805871 0.0474462i
\(643\) 4.03158 + 13.0701i 0.158990 + 0.515434i 0.999659 0.0261162i \(-0.00831398\pi\)
−0.840669 + 0.541550i \(0.817838\pi\)
\(644\) −5.28031 16.5293i −0.208073 0.651345i
\(645\) −25.6446 15.0984i −1.00975 0.594500i
\(646\) 4.37754 2.10811i 0.172232 0.0829426i
\(647\) −7.27931 6.75421i −0.286179 0.265535i 0.523999 0.851719i \(-0.324439\pi\)
−0.810179 + 0.586183i \(0.800630\pi\)
\(648\) −4.85856 5.60765i −0.190862 0.220289i
\(649\) −1.88659 + 12.5167i −0.0740552 + 0.491324i
\(650\) 0.704822 0.480540i 0.0276454 0.0188483i
\(651\) 19.8508 0.0296504i 0.778012 0.00116209i
\(652\) 22.8117 + 15.5527i 0.893373 + 0.609092i
\(653\) −6.73462 + 7.25819i −0.263546 + 0.284035i −0.850936 0.525269i \(-0.823965\pi\)
0.587391 + 0.809304i \(0.300155\pi\)
\(654\) −3.05533 3.89889i −0.119473 0.152459i
\(655\) −7.98703 13.8339i −0.312079 0.540537i
\(656\) 16.6874 + 28.9034i 0.651533 + 1.12849i
\(657\) 11.5155 16.2873i 0.449263 0.635429i
\(658\) −0.152548 0.947651i −0.00594695 0.0369433i
\(659\) −4.46956 29.6536i −0.174109 1.15514i −0.889675 0.456594i \(-0.849069\pi\)
0.715566 0.698545i \(-0.246169\pi\)
\(660\) 26.7694 + 18.5868i 1.04200 + 0.723491i
\(661\) −9.59739 19.9292i −0.373295 0.775155i 0.626696 0.779264i \(-0.284407\pi\)
−0.999992 + 0.00410812i \(0.998692\pi\)
\(662\) 1.60781 + 3.33865i 0.0624894 + 0.129760i
\(663\) −1.31270 0.911447i −0.0509810 0.0353977i
\(664\) 0.918164 + 6.09162i 0.0356317 + 0.236401i
\(665\) −24.4125 + 82.0493i −0.946675 + 3.18174i
\(666\) −0.371743 0.806787i −0.0144047 0.0312624i
\(667\) −2.05345 3.55667i −0.0795098 0.137715i
\(668\) −7.21332 12.4938i −0.279092 0.483401i
\(669\) −2.85017 3.63709i −0.110194 0.140618i
\(670\) 7.29499 7.86213i 0.281830 0.303740i
\(671\) −11.2872 7.69550i −0.435739 0.297082i
\(672\) −6.92534 + 8.71076i −0.267151 + 0.336025i
\(673\) 6.90921 4.71062i 0.266330 0.181581i −0.422790 0.906228i \(-0.638949\pi\)
0.689121 + 0.724647i \(0.257997\pi\)
\(674\) 0.606906 4.02656i 0.0233771 0.155097i
\(675\) −42.2098 + 58.6354i −1.62466 + 2.25688i
\(676\) −18.5213 17.1852i −0.712356 0.660970i
\(677\) −19.1071 + 9.20150i −0.734346 + 0.353642i −0.763392 0.645936i \(-0.776467\pi\)
0.0290458 + 0.999578i \(0.490753\pi\)
\(678\) −1.54077 0.907138i −0.0591729 0.0348384i
\(679\) −12.0951 + 7.14543i −0.464168 + 0.274216i
\(680\) −3.31065 10.7329i −0.126958 0.411587i
\(681\) −22.4328 13.2075i −0.859628 0.506112i
\(682\) −1.85831 0.729333i −0.0711584 0.0279276i
\(683\) 7.59541 24.6237i 0.290630 0.942200i −0.686060 0.727545i \(-0.740661\pi\)
0.976690 0.214655i \(-0.0688627\pi\)
\(684\) 34.6094 26.6490i 1.32332 1.01895i
\(685\) 32.5610i 1.24409i
\(686\) −1.56922 + 3.52547i −0.0599132 + 0.134603i
\(687\) −0.645064 + 2.71930i −0.0246107 + 0.103748i
\(688\) 12.2158 8.32857i 0.465722 0.317524i
\(689\) −0.666988 2.92227i −0.0254102 0.111329i
\(690\) −5.24153 0.437698i −0.199541 0.0166629i
\(691\) 2.14909 0.490516i 0.0817553 0.0186601i −0.181448 0.983401i \(-0.558078\pi\)
0.263203 + 0.964741i \(0.415221\pi\)
\(692\) 5.28030 23.1345i 0.200727 0.879442i
\(693\) −9.78722 14.5740i −0.371786 0.553619i
\(694\) 1.27159 + 5.57121i 0.0482690 + 0.211480i
\(695\) −14.4521 30.0100i −0.548198 1.13835i
\(696\) −0.772460 + 1.56971i −0.0292800 + 0.0594995i
\(697\) 25.1842 + 12.1280i 0.953918 + 0.459383i
\(698\) 0.689377 + 1.75650i 0.0260933 + 0.0664847i
\(699\) 15.0190 + 39.2469i 0.568070 + 1.48445i
\(700\) 65.1580 + 30.5790i 2.46274 + 1.15578i
\(701\) 7.22803 + 15.0092i 0.272999 + 0.566888i 0.991721 0.128409i \(-0.0409870\pi\)
−0.718722 + 0.695297i \(0.755273\pi\)
\(702\) 0.293687 + 0.124009i 0.0110845 + 0.00468041i
\(703\) 9.84422 3.86357i 0.371282 0.145717i
\(704\) −13.3637 + 7.71552i −0.503663 + 0.290790i
\(705\) 12.7581 + 3.02644i 0.480497 + 0.113982i
\(706\) −1.11349 + 7.38752i −0.0419067 + 0.278033i
\(707\) −2.45968 10.3003i −0.0925056 0.387384i
\(708\) 11.0616 15.9313i 0.415720 0.598734i
\(709\) 1.08166 + 1.35635i 0.0406224 + 0.0509389i 0.801728 0.597689i \(-0.203914\pi\)
−0.761105 + 0.648628i \(0.775343\pi\)
\(710\) −0.733258 + 9.78465i −0.0275187 + 0.367211i
\(711\) 23.7992 39.6469i 0.892540 1.48688i
\(712\) 6.96998 + 2.73552i 0.261211 + 0.102518i
\(713\) −14.3581 + 2.16413i −0.537715 + 0.0810475i
\(714\) −0.219136 + 2.98398i −0.00820098 + 0.111672i
\(715\) −2.79994 0.422023i −0.104712 0.0157828i
\(716\) −17.3811 10.0350i −0.649563 0.375025i
\(717\) −8.06383 7.61090i −0.301149 0.284234i
\(718\) 0.718249 + 0.108259i 0.0268048 + 0.00404018i
\(719\) 3.70386 1.14249i 0.138131 0.0426077i −0.224919 0.974377i \(-0.572212\pi\)
0.363050 + 0.931770i \(0.381736\pi\)
\(720\) −23.6777 42.6726i −0.882416 1.59031i
\(721\) 24.7970 + 26.1942i 0.923488 + 0.975522i
\(722\) −4.26982 6.26268i −0.158906 0.233073i
\(723\) −23.2849 + 3.30716i −0.865973 + 0.122995i
\(724\) 3.62524 7.52790i 0.134731 0.279772i
\(725\) 16.6082 + 3.79072i 0.616813 + 0.140784i
\(726\) −0.472209 2.15321i −0.0175253 0.0799132i
\(727\) −11.3816 + 36.8982i −0.422120 + 1.36848i 0.455976 + 0.889992i \(0.349290\pi\)
−0.878095 + 0.478486i \(0.841186\pi\)
\(728\) 0.136640 0.627540i 0.00506422 0.0232582i
\(729\) −26.9648 1.37846i −0.998696 0.0510539i
\(730\) −4.41561 + 4.09709i −0.163429 + 0.151640i
\(731\) 4.52390 11.5267i 0.167322 0.426331i
\(732\) 10.3111 + 18.2157i 0.381109 + 0.673272i
\(733\) 20.8901 + 30.6401i 0.771592 + 1.13172i 0.987854 + 0.155382i \(0.0496608\pi\)
−0.216263 + 0.976335i \(0.569387\pi\)
\(734\) 0.559341 + 0.968807i 0.0206456 + 0.0357593i
\(735\) −36.2976 38.2282i −1.33886 1.41007i
\(736\) 4.06999 7.04943i 0.150022 0.259846i
\(737\) −26.1113 + 1.95677i −0.961824 + 0.0720787i
\(738\) −5.41434 1.33316i −0.199304 0.0490742i
\(739\) 9.39615 1.41624i 0.345643 0.0520973i 0.0260732 0.999660i \(-0.491700\pi\)
0.319570 + 0.947563i \(0.396462\pi\)
\(740\) −2.69012 11.7862i −0.0988908 0.433269i
\(741\) −1.67573 + 3.40523i −0.0615596 + 0.125094i
\(742\) −4.07539 + 3.85801i −0.149612 + 0.141632i
\(743\) −24.4029 26.3000i −0.895254 0.964855i 0.104305 0.994545i \(-0.466738\pi\)
−0.999559 + 0.0296907i \(0.990548\pi\)
\(744\) 4.16841 + 4.56989i 0.152821 + 0.167540i
\(745\) −28.8209 93.4352i −1.05592 3.42320i
\(746\) −0.848313 1.24425i −0.0310590 0.0455551i
\(747\) 18.3047 + 12.9418i 0.669734 + 0.473517i
\(748\) −5.88361 + 12.2174i −0.215126 + 0.446714i
\(749\) 7.69324 + 15.5746i 0.281105 + 0.569082i
\(750\) 10.3226 9.41568i 0.376926 0.343812i
\(751\) −19.2046 17.8192i −0.700785 0.650233i 0.247047 0.969003i \(-0.420540\pi\)
−0.947832 + 0.318770i \(0.896730\pi\)
\(752\) −4.06160 + 5.09308i −0.148111 + 0.185726i
\(753\) 0.181593 + 0.607009i 0.00661762 + 0.0221206i
\(754\) 0.0751686i 0.00273748i
\(755\) 9.70933 12.1751i 0.353359 0.443098i
\(756\) 3.59545 + 26.6572i 0.130765 + 0.969514i
\(757\) −6.21079 7.78809i −0.225735 0.283063i 0.656047 0.754720i \(-0.272227\pi\)
−0.881782 + 0.471657i \(0.843656\pi\)
\(758\) 2.32821 1.85669i 0.0845644 0.0674379i
\(759\) 8.65380 + 9.48729i 0.314113 + 0.344367i
\(760\) −24.0324 + 11.5734i −0.871745 + 0.419810i
\(761\) −19.7236 + 2.97285i −0.714979 + 0.107766i −0.496451 0.868065i \(-0.665364\pi\)
−0.218528 + 0.975831i \(0.570126\pi\)
\(762\) 1.27264 + 0.883634i 0.0461029 + 0.0320107i
\(763\) 3.07596 + 36.1834i 0.111357 + 1.30993i
\(764\) 24.9705 + 19.9133i 0.903402 + 0.720439i
\(765\) −36.5177 18.3583i −1.32030 0.663747i
\(766\) −0.693776 0.400552i −0.0250671 0.0144725i
\(767\) −0.251159 + 1.66633i −0.00906882 + 0.0601677i
\(768\) 21.8429 1.45003i 0.788186 0.0523233i
\(769\) 1.58322 2.32216i 0.0570925 0.0837393i −0.796631 0.604466i \(-0.793387\pi\)
0.853723 + 0.520727i \(0.174339\pi\)
\(770\) 1.98609 + 4.91527i 0.0715736 + 0.177134i
\(771\) −3.60543 2.92579i −0.129846 0.105370i
\(772\) −1.81289 + 2.27329i −0.0652472 +