Properties

Label 648.2.bb.b.155.59
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.59
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.59

$q$-expansion

\(f(q)\) \(=\) \(q+(0.243700 + 1.39306i) q^{2} +(-0.418174 + 1.68081i) q^{3} +(-1.88122 + 0.678976i) q^{4} +(-0.258586 + 0.170075i) q^{5} +(-2.44338 - 0.172926i) q^{6} +(0.0104041 + 0.00981575i) q^{7} +(-1.40431 - 2.45518i) q^{8} +(-2.65026 - 1.40574i) q^{9} +O(q^{10})\) \(q+(0.243700 + 1.39306i) q^{2} +(-0.418174 + 1.68081i) q^{3} +(-1.88122 + 0.678976i) q^{4} +(-0.258586 + 0.170075i) q^{5} +(-2.44338 - 0.172926i) q^{6} +(0.0104041 + 0.00981575i) q^{7} +(-1.40431 - 2.45518i) q^{8} +(-2.65026 - 1.40574i) q^{9} +(-0.299941 - 0.318778i) q^{10} +(-1.41514 - 2.81777i) q^{11} +(-0.354555 - 3.44591i) q^{12} +(-2.26854 + 0.978551i) q^{13} +(-0.0111384 + 0.0168856i) q^{14} +(-0.177730 - 0.505755i) q^{15} +(3.07798 - 2.55461i) q^{16} +(-1.51006 - 1.79963i) q^{17} +(1.31241 - 4.03455i) q^{18} +(-4.81770 - 4.04253i) q^{19} +(0.370981 - 0.495522i) q^{20} +(-0.0208491 + 0.0133826i) q^{21} +(3.58045 - 2.65806i) q^{22} +(4.28568 + 4.54255i) q^{23} +(4.71395 - 1.33368i) q^{24} +(-1.94246 + 4.50312i) q^{25} +(-1.91602 - 2.92173i) q^{26} +(3.47106 - 3.86675i) q^{27} +(-0.0262370 - 0.0114015i) q^{28} +(-4.55258 + 0.532120i) q^{29} +(0.661234 - 0.370841i) q^{30} +(-0.306448 - 1.29301i) q^{31} +(4.30882 + 3.66525i) q^{32} +(5.32791 - 1.20026i) q^{33} +(2.13898 - 2.54218i) q^{34} +(-0.00435976 - 0.000768743i) q^{35} +(5.94019 + 0.845048i) q^{36} +(-8.30995 + 1.46527i) q^{37} +(4.45740 - 7.69650i) q^{38} +(-0.696119 - 4.22219i) q^{39} +(0.780699 + 0.396039i) q^{40} +(1.30776 + 0.973589i) q^{41} +(-0.0237237 - 0.0257827i) q^{42} +(0.0545200 - 0.936072i) q^{43} +(4.57538 + 4.34000i) q^{44} +(0.924402 - 0.0872370i) q^{45} +(-5.28362 + 7.07722i) q^{46} +(3.27955 + 0.777267i) q^{47} +(3.00669 + 6.24178i) q^{48} +(-0.407002 - 6.98795i) q^{49} +(-6.74649 - 1.60854i) q^{50} +(3.65630 - 1.78558i) q^{51} +(3.60321 - 3.38115i) q^{52} +(6.75089 + 11.6929i) q^{53} +(6.23250 + 3.89306i) q^{54} +(0.845166 + 0.487957i) q^{55} +(0.00948893 - 0.0393282i) q^{56} +(8.80937 - 6.40717i) q^{57} +(-1.85074 - 6.21233i) q^{58} +(3.50853 - 6.98606i) q^{59} +(0.677745 + 0.830763i) q^{60} +(-8.08762 + 2.42127i) q^{61} +(1.72655 - 0.742005i) q^{62} +(-0.0137751 - 0.0406398i) q^{63} +(-4.05585 + 6.89566i) q^{64} +(0.420185 - 0.638860i) q^{65} +(2.97045 + 7.12959i) q^{66} +(-5.45235 - 0.637288i) q^{67} +(4.06267 + 2.36019i) q^{68} +(-9.42734 + 5.30385i) q^{69} +(8.43060e-6 - 0.00626074i) q^{70} +(-6.56741 - 2.39034i) q^{71} +(0.270425 + 8.48097i) q^{72} +(-12.6378 + 4.59980i) q^{73} +(-4.06634 - 11.2192i) q^{74} +(-6.75662 - 5.14799i) q^{75} +(11.8079 + 4.33379i) q^{76} +(0.0129353 - 0.0432069i) q^{77} +(5.71211 - 1.99868i) q^{78} +(7.89736 - 5.87936i) q^{79} +(-0.361449 + 1.18407i) q^{80} +(5.04777 + 7.45117i) q^{81} +(-1.03757 + 2.05905i) q^{82} +(-1.94464 + 1.44773i) q^{83} +(0.0301353 - 0.0393317i) q^{84} +(0.696552 + 0.208534i) q^{85} +(1.31729 - 0.152171i) q^{86} +(1.00937 - 7.87455i) q^{87} +(-4.93085 + 7.43143i) q^{88} +(-0.233270 - 0.640903i) q^{89} +(0.346803 + 1.26649i) q^{90} +(-0.0332073 - 0.0120865i) q^{91} +(-11.1466 - 5.63567i) q^{92} +(2.30145 + 0.0256192i) q^{93} +(-0.283552 + 4.75802i) q^{94} +(1.93332 + 0.225973i) q^{95} +(-7.96243 + 5.70961i) q^{96} +(5.47435 + 3.60054i) q^{97} +(9.63544 - 2.26994i) q^{98} +(-0.210576 + 9.45714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.243700 + 1.39306i 0.172322 + 0.985041i
\(3\) −0.418174 + 1.68081i −0.241433 + 0.970418i
\(4\) −1.88122 + 0.678976i −0.940610 + 0.339488i
\(5\) −0.258586 + 0.170075i −0.115643 + 0.0760597i −0.606013 0.795455i \(-0.707232\pi\)
0.490370 + 0.871514i \(0.336862\pi\)
\(6\) −2.44338 0.172926i −0.997505 0.0705968i
\(7\) 0.0104041 + 0.00981575i 0.00393237 + 0.00371000i 0.688205 0.725516i \(-0.258399\pi\)
−0.684273 + 0.729226i \(0.739880\pi\)
\(8\) −1.40431 2.45518i −0.496497 0.868038i
\(9\) −2.65026 1.40574i −0.883421 0.468581i
\(10\) −0.299941 0.318778i −0.0948498 0.100806i
\(11\) −1.41514 2.81777i −0.426680 0.849589i −0.999552 0.0299443i \(-0.990467\pi\)
0.572872 0.819645i \(-0.305829\pi\)
\(12\) −0.354555 3.44591i −0.102351 0.994748i
\(13\) −2.26854 + 0.978551i −0.629179 + 0.271401i −0.686698 0.726943i \(-0.740940\pi\)
0.0575188 + 0.998344i \(0.481681\pi\)
\(14\) −0.0111384 + 0.0168856i −0.00297687 + 0.00451286i
\(15\) −0.177730 0.505755i −0.0458896 0.130585i
\(16\) 3.07798 2.55461i 0.769496 0.638652i
\(17\) −1.51006 1.79963i −0.366245 0.436473i 0.551178 0.834388i \(-0.314179\pi\)
−0.917423 + 0.397914i \(0.869734\pi\)
\(18\) 1.31241 4.03455i 0.309339 0.950952i
\(19\) −4.81770 4.04253i −1.10526 0.927420i −0.107489 0.994206i \(-0.534281\pi\)
−0.997767 + 0.0667865i \(0.978725\pi\)
\(20\) 0.370981 0.495522i 0.0829538 0.110802i
\(21\) −0.0208491 + 0.0133826i −0.00454966 + 0.00292033i
\(22\) 3.58045 2.65806i 0.763354 0.566700i
\(23\) 4.28568 + 4.54255i 0.893626 + 0.947188i 0.998883 0.0472572i \(-0.0150480\pi\)
−0.105257 + 0.994445i \(0.533567\pi\)
\(24\) 4.71395 1.33368i 0.962230 0.272237i
\(25\) −1.94246 + 4.50312i −0.388492 + 0.900625i
\(26\) −1.91602 2.92173i −0.375763 0.572998i
\(27\) 3.47106 3.86675i 0.668006 0.744156i
\(28\) −0.0262370 0.0114015i −0.00495833 0.00215467i
\(29\) −4.55258 + 0.532120i −0.845393 + 0.0988122i −0.527752 0.849399i \(-0.676965\pi\)
−0.317641 + 0.948211i \(0.602891\pi\)
\(30\) 0.661234 0.370841i 0.120724 0.0677059i
\(31\) −0.306448 1.29301i −0.0550397 0.232231i 0.938572 0.345083i \(-0.112149\pi\)
−0.993612 + 0.112853i \(0.964001\pi\)
\(32\) 4.30882 + 3.66525i 0.761699 + 0.647931i
\(33\) 5.32791 1.20026i 0.927471 0.208939i
\(34\) 2.13898 2.54218i 0.366832 0.435980i
\(35\) −0.00435976 0.000768743i −0.000736934 0.000129941i
\(36\) 5.94019 + 0.845048i 0.990032 + 0.140841i
\(37\) −8.30995 + 1.46527i −1.36615 + 0.240889i −0.808161 0.588961i \(-0.799537\pi\)
−0.557986 + 0.829850i \(0.688426\pi\)
\(38\) 4.45740 7.69650i 0.723086 1.24854i
\(39\) −0.696119 4.22219i −0.111468 0.676091i
\(40\) 0.780699 + 0.396039i 0.123439 + 0.0626192i
\(41\) 1.30776 + 0.973589i 0.204237 + 0.152049i 0.694418 0.719572i \(-0.255662\pi\)
−0.490181 + 0.871621i \(0.663069\pi\)
\(42\) −0.0237237 0.0257827i −0.00366065 0.00397836i
\(43\) 0.0545200 0.936072i 0.00831422 0.142750i −0.991596 0.129371i \(-0.958704\pi\)
0.999911 0.0133788i \(-0.00425872\pi\)
\(44\) 4.57538 + 4.34000i 0.689765 + 0.654280i
\(45\) 0.924402 0.0872370i 0.137802 0.0130045i
\(46\) −5.28362 + 7.07722i −0.779027 + 1.04348i
\(47\) 3.27955 + 0.777267i 0.478371 + 0.113376i 0.462726 0.886502i \(-0.346871\pi\)
0.0156456 + 0.999878i \(0.495020\pi\)
\(48\) 3.00669 + 6.24178i 0.433978 + 0.900924i
\(49\) −0.407002 6.98795i −0.0581431 0.998279i
\(50\) −6.74649 1.60854i −0.954097 0.227483i
\(51\) 3.65630 1.78558i 0.511985 0.250031i
\(52\) 3.60321 3.38115i 0.499675 0.468882i
\(53\) 6.75089 + 11.6929i 0.927306 + 1.60614i 0.787809 + 0.615919i \(0.211215\pi\)
0.139497 + 0.990223i \(0.455451\pi\)
\(54\) 6.23250 + 3.89306i 0.848136 + 0.529778i
\(55\) 0.845166 + 0.487957i 0.113962 + 0.0657961i
\(56\) 0.00948893 0.0393282i 0.00126801 0.00525546i
\(57\) 8.80937 6.40717i 1.16683 0.848650i
\(58\) −1.85074 6.21233i −0.243014 0.815719i
\(59\) 3.50853 6.98606i 0.456772 0.909507i −0.540886 0.841096i \(-0.681911\pi\)
0.997657 0.0684110i \(-0.0217929\pi\)
\(60\) 0.677745 + 0.830763i 0.0874965 + 0.107251i
\(61\) −8.08762 + 2.42127i −1.03551 + 0.310012i −0.759064 0.651016i \(-0.774343\pi\)
−0.276450 + 0.961028i \(0.589158\pi\)
\(62\) 1.72655 0.742005i 0.219272 0.0942347i
\(63\) −0.0137751 0.0406398i −0.00173550 0.00512013i
\(64\) −4.05585 + 6.89566i −0.506981 + 0.861957i
\(65\) 0.420185 0.638860i 0.0521175 0.0792409i
\(66\) 2.97045 + 7.12959i 0.365637 + 0.877592i
\(67\) −5.45235 0.637288i −0.666110 0.0778572i −0.223684 0.974662i \(-0.571808\pi\)
−0.442427 + 0.896805i \(0.645882\pi\)
\(68\) 4.06267 + 2.36019i 0.492671 + 0.286216i
\(69\) −9.42734 + 5.30385i −1.13492 + 0.638508i
\(70\) 8.43060e−6 0.00626074i 1.00765e−6 0.000748302i
\(71\) −6.56741 2.39034i −0.779408 0.283681i −0.0784824 0.996916i \(-0.525007\pi\)
−0.700926 + 0.713234i \(0.747230\pi\)
\(72\) 0.270425 + 8.48097i 0.0318698 + 0.999492i
\(73\) −12.6378 + 4.59980i −1.47915 + 0.538366i −0.950568 0.310518i \(-0.899498\pi\)
−0.528580 + 0.848884i \(0.677275\pi\)
\(74\) −4.06634 11.2192i −0.472702 1.30420i
\(75\) −6.75662 5.14799i −0.780187 0.594439i
\(76\) 11.8079 + 4.33379i 1.35446 + 0.497119i
\(77\) 0.0129353 0.0432069i 0.00147411 0.00492389i
\(78\) 5.71211 1.99868i 0.646769 0.226306i
\(79\) 7.89736 5.87936i 0.888522 0.661480i −0.0529406 0.998598i \(-0.516859\pi\)
0.941463 + 0.337118i \(0.109452\pi\)
\(80\) −0.361449 + 1.18407i −0.0404112 + 0.132383i
\(81\) 5.04777 + 7.45117i 0.560864 + 0.827908i
\(82\) −1.03757 + 2.05905i −0.114580 + 0.227384i
\(83\) −1.94464 + 1.44773i −0.213452 + 0.158909i −0.698575 0.715537i \(-0.746182\pi\)
0.485123 + 0.874446i \(0.338775\pi\)
\(84\) 0.0301353 0.0393317i 0.00328804 0.00429145i
\(85\) 0.696552 + 0.208534i 0.0755517 + 0.0226187i
\(86\) 1.31729 0.152171i 0.142047 0.0164090i
\(87\) 1.00937 7.87455i 0.108216 0.844240i
\(88\) −4.93085 + 7.43143i −0.525631 + 0.792193i
\(89\) −0.233270 0.640903i −0.0247265 0.0679356i 0.926715 0.375764i \(-0.122620\pi\)
−0.951442 + 0.307829i \(0.900398\pi\)
\(90\) 0.346803 + 1.26649i 0.0365562 + 0.133499i
\(91\) −0.0332073 0.0120865i −0.00348107 0.00126700i
\(92\) −11.1466 5.63567i −1.16211 0.587559i
\(93\) 2.30145 + 0.0256192i 0.238649 + 0.00265659i
\(94\) −0.283552 + 4.75802i −0.0292462 + 0.490752i
\(95\) 1.93332 + 0.225973i 0.198355 + 0.0231843i
\(96\) −7.96243 + 5.70961i −0.812662 + 0.582735i
\(97\) 5.47435 + 3.60054i 0.555836 + 0.365579i 0.796134 0.605120i \(-0.206875\pi\)
−0.240298 + 0.970699i \(0.577245\pi\)
\(98\) 9.63544 2.26994i 0.973326 0.229299i
\(99\) −0.210576 + 9.45714i −0.0211637 + 0.950479i
\(100\) 0.596678 9.79025i 0.0596678 0.979025i
\(101\) −0.495428 1.65484i −0.0492969 0.164663i 0.929797 0.368074i \(-0.119983\pi\)
−0.979094 + 0.203410i \(0.934797\pi\)
\(102\) 3.37846 + 4.65829i 0.334517 + 0.461240i
\(103\) −4.01169 + 7.98793i −0.395284 + 0.787074i −0.999956 0.00940010i \(-0.997008\pi\)
0.604672 + 0.796474i \(0.293304\pi\)
\(104\) 5.58824 + 4.19549i 0.547972 + 0.411401i
\(105\) 0.00311525 0.00700647i 0.000304017 0.000683762i
\(106\) −14.6437 + 12.2539i −1.42232 + 1.19021i
\(107\) −10.5982 6.11886i −1.02456 0.591532i −0.109141 0.994026i \(-0.534810\pi\)
−0.915423 + 0.402494i \(0.868143\pi\)
\(108\) −3.90440 + 9.63097i −0.375701 + 0.926741i
\(109\) −12.7152 + 7.34114i −1.21790 + 0.703153i −0.964468 0.264200i \(-0.914892\pi\)
−0.253430 + 0.967354i \(0.581559\pi\)
\(110\) −0.473785 + 1.29628i −0.0451736 + 0.123595i
\(111\) 1.01216 14.5802i 0.0960700 1.38389i
\(112\) 0.0570990 + 0.00363433i 0.00539535 + 0.000343412i
\(113\) 5.61586 0.327087i 0.528296 0.0307697i 0.208075 0.978113i \(-0.433280\pi\)
0.320220 + 0.947343i \(0.396243\pi\)
\(114\) 11.0724 + 10.7105i 1.03703 + 1.00313i
\(115\) −1.88079 0.445755i −0.175385 0.0415669i
\(116\) 8.20311 4.09213i 0.761639 0.379945i
\(117\) 7.38781 + 0.595563i 0.683003 + 0.0550598i
\(118\) 10.5870 + 3.18508i 0.974613 + 0.293211i
\(119\) 0.00195382 0.0335459i 0.000179107 0.00307514i
\(120\) −0.992135 + 1.14659i −0.0905691 + 0.104669i
\(121\) 0.631536 0.848300i 0.0574124 0.0771182i
\(122\) −5.34393 10.6765i −0.483817 0.966601i
\(123\) −2.18329 + 1.79097i −0.196861 + 0.161486i
\(124\) 1.45442 + 2.22436i 0.130610 + 0.199753i
\(125\) −0.532298 3.01881i −0.0476102 0.270011i
\(126\) 0.0532565 0.0290935i 0.00474447 0.00259185i
\(127\) −13.1360 2.31622i −1.16563 0.205532i −0.442839 0.896601i \(-0.646029\pi\)
−0.722788 + 0.691069i \(0.757140\pi\)
\(128\) −10.5945 3.96956i −0.936427 0.350862i
\(129\) 1.55056 + 0.483078i 0.136519 + 0.0425327i
\(130\) 0.992369 + 0.429652i 0.0870365 + 0.0376830i
\(131\) 2.72895 + 11.5143i 0.238429 + 1.00601i 0.952162 + 0.305594i \(0.0988551\pi\)
−0.713733 + 0.700418i \(0.752997\pi\)
\(132\) −9.20803 + 5.87549i −0.801456 + 0.511395i
\(133\) −0.0104433 0.0893481i −0.000905549 0.00774746i
\(134\) −0.440958 7.75075i −0.0380930 0.669562i
\(135\) −0.239931 + 1.59023i −0.0206500 + 0.136865i
\(136\) −2.29781 + 6.23471i −0.197036 + 0.534622i
\(137\) −12.7649 5.50625i −1.09058 0.470431i −0.226617 0.973984i \(-0.572767\pi\)
−0.863964 + 0.503553i \(0.832026\pi\)
\(138\) −9.68601 11.8403i −0.824528 1.00791i
\(139\) −6.74482 7.14910i −0.572089 0.606378i 0.375128 0.926973i \(-0.377599\pi\)
−0.947216 + 0.320595i \(0.896117\pi\)
\(140\) 0.00872363 0.00151400i 0.000737281 0.000127956i
\(141\) −2.67786 + 5.18727i −0.225517 + 0.436847i
\(142\) 1.72941 9.73131i 0.145129 0.816633i
\(143\) 5.96762 + 5.00743i 0.499037 + 0.418742i
\(144\) −11.7486 + 2.44353i −0.979048 + 0.203627i
\(145\) 1.08673 0.911877i 0.0902483 0.0757273i
\(146\) −9.48763 16.4843i −0.785202 1.36425i
\(147\) 11.9156 + 2.23808i 0.982785 + 0.184594i
\(148\) 14.6380 8.39875i 1.20323 0.690373i
\(149\) −5.12719 11.8862i −0.420035 0.973751i −0.988524 0.151061i \(-0.951731\pi\)
0.568489 0.822691i \(-0.307528\pi\)
\(150\) 5.52487 10.6669i 0.451103 0.870951i
\(151\) −4.70354 9.36551i −0.382769 0.762155i 0.616922 0.787024i \(-0.288379\pi\)
−0.999691 + 0.0248694i \(0.992083\pi\)
\(152\) −3.15962 + 17.5053i −0.256279 + 1.41987i
\(153\) 1.47226 + 6.89224i 0.119025 + 0.557205i
\(154\) 0.0633421 + 0.00749010i 0.00510425 + 0.000603570i
\(155\) 0.299151 + 0.282234i 0.0240284 + 0.0226696i
\(156\) 4.17632 + 7.47022i 0.334373 + 0.598096i
\(157\) 10.8854 + 16.5504i 0.868748 + 1.32087i 0.946104 + 0.323863i \(0.104982\pi\)
−0.0773564 + 0.997004i \(0.524648\pi\)
\(158\) 10.1149 + 9.56867i 0.804697 + 0.761243i
\(159\) −22.4766 + 6.45733i −1.78251 + 0.512099i
\(160\) −1.73757 0.214961i −0.137367 0.0169941i
\(161\) 0.0893282i 0.00704005i
\(162\) −9.14977 + 8.84769i −0.718874 + 0.695140i
\(163\) −6.81700 −0.533948 −0.266974 0.963704i \(-0.586024\pi\)
−0.266974 + 0.963704i \(0.586024\pi\)
\(164\) −3.12122 0.943600i −0.243727 0.0736828i
\(165\) −1.17359 + 1.21651i −0.0913638 + 0.0947055i
\(166\) −2.49068 2.35618i −0.193314 0.182875i
\(167\) 4.05398 2.66635i 0.313707 0.206328i −0.382885 0.923796i \(-0.625069\pi\)
0.696591 + 0.717468i \(0.254699\pi\)
\(168\) 0.0621354 + 0.0323951i 0.00479385 + 0.00249934i
\(169\) −4.73244 + 5.01610i −0.364034 + 0.385854i
\(170\) −0.120750 + 1.02116i −0.00926112 + 0.0783192i
\(171\) 7.08541 + 17.4862i 0.541835 + 1.33720i
\(172\) 0.533006 + 1.79798i 0.0406414 + 0.137094i
\(173\) 18.7818 9.43258i 1.42795 0.717146i 0.444077 0.895989i \(-0.353532\pi\)
0.983878 + 0.178843i \(0.0572353\pi\)
\(174\) 11.2157 0.512911i 0.850259 0.0388837i
\(175\) −0.0644110 + 0.0277842i −0.00486901 + 0.00210029i
\(176\) −11.5541 5.05792i −0.870920 0.381255i
\(177\) 10.2751 + 8.81857i 0.772322 + 0.662844i
\(178\) 0.835967 0.481146i 0.0626584 0.0360634i
\(179\) 10.2764 + 12.2469i 0.768095 + 0.915380i 0.998331 0.0577550i \(-0.0183942\pi\)
−0.230236 + 0.973135i \(0.573950\pi\)
\(180\) −1.67977 + 0.791759i −0.125203 + 0.0590142i
\(181\) −10.9897 + 13.0970i −0.816860 + 0.973496i −0.999954 0.00959981i \(-0.996944\pi\)
0.183094 + 0.983095i \(0.441389\pi\)
\(182\) 0.00874452 0.0492051i 0.000648187 0.00364732i
\(183\) −0.687679 14.6063i −0.0508347 1.07973i
\(184\) 5.13439 16.9013i 0.378512 1.24598i
\(185\) 1.89963 1.79221i 0.139664 0.131766i
\(186\) 0.525174 + 3.21229i 0.0385076 + 0.235537i
\(187\) −2.93398 + 6.80173i −0.214554 + 0.497392i
\(188\) −6.69730 + 0.764524i −0.488451 + 0.0557587i
\(189\) 0.0740682 0.00615893i 0.00538767 0.000447996i
\(190\) 0.156357 + 2.74830i 0.0113433 + 0.199383i
\(191\) 12.1728 1.42280i 0.880792 0.102950i 0.336339 0.941741i \(-0.390811\pi\)
0.544453 + 0.838791i \(0.316737\pi\)
\(192\) −9.89426 9.70070i −0.714057 0.700088i
\(193\) 1.05858 0.250888i 0.0761982 0.0180593i −0.192340 0.981328i \(-0.561608\pi\)
0.268538 + 0.963269i \(0.413459\pi\)
\(194\) −3.68166 + 8.50354i −0.264328 + 0.610519i
\(195\) 0.898094 + 0.973407i 0.0643139 + 0.0697071i
\(196\) 5.51031 + 12.8695i 0.393594 + 0.919253i
\(197\) 2.27357 12.8941i 0.161985 0.918664i −0.790133 0.612935i \(-0.789989\pi\)
0.952119 0.305729i \(-0.0989002\pi\)
\(198\) −13.2257 + 2.01136i −0.939907 + 0.142941i
\(199\) 13.7061 2.41675i 0.971598 0.171319i 0.334749 0.942307i \(-0.391348\pi\)
0.636849 + 0.770988i \(0.280237\pi\)
\(200\) 13.7838 1.55468i 0.974662 0.109932i
\(201\) 3.35119 8.89788i 0.236375 0.627608i
\(202\) 2.18456 1.09345i 0.153705 0.0769346i
\(203\) −0.0525886 0.0391507i −0.00369099 0.00274784i
\(204\) −5.66594 + 5.84161i −0.396695 + 0.408995i
\(205\) −0.503751 0.0293401i −0.0351835 0.00204920i
\(206\) −12.1053 3.64186i −0.843416 0.253740i
\(207\) −4.97251 18.0635i −0.345613 1.25550i
\(208\) −4.48270 + 8.80719i −0.310819 + 0.610669i
\(209\) −4.57321 + 19.2959i −0.316336 + 1.33472i
\(210\) 0.0105196 + 0.00263225i 0.000725922 + 0.000181642i
\(211\) −0.469330 8.05808i −0.0323100 0.554741i −0.975157 0.221515i \(-0.928900\pi\)
0.942847 0.333226i \(-0.108137\pi\)
\(212\) −20.6391 17.4132i −1.41750 1.19594i
\(213\) 6.76404 10.0390i 0.463464 0.687862i
\(214\) 5.94115 16.2550i 0.406129 1.11117i
\(215\) 0.145104 + 0.251328i 0.00989601 + 0.0171404i
\(216\) −14.3680 3.09199i −0.977619 0.210383i
\(217\) 0.00950350 0.0164605i 0.000645140 0.00111741i
\(218\) −13.3253 15.9240i −0.902505 1.07851i
\(219\) −2.44659 23.1654i −0.165325 1.56537i
\(220\) −1.92125 0.344107i −0.129531 0.0231997i
\(221\) 5.18666 + 2.60484i 0.348893 + 0.175221i
\(222\) 20.5577 2.14320i 1.37974 0.143842i
\(223\) 18.2979 5.47803i 1.22532 0.366836i 0.392174 0.919891i \(-0.371723\pi\)
0.833145 + 0.553055i \(0.186538\pi\)
\(224\) 0.00885218 + 0.0804279i 0.000591461 + 0.00537381i
\(225\) 11.4783 9.20386i 0.765217 0.613590i
\(226\) 1.82424 + 7.74351i 0.121346 + 0.515091i
\(227\) −7.14086 + 10.8572i −0.473956 + 0.720615i −0.990781 0.135477i \(-0.956743\pi\)
0.516825 + 0.856091i \(0.327114\pi\)
\(228\) −12.2220 + 18.0347i −0.809425 + 1.19437i
\(229\) −1.74140 + 14.8987i −0.115075 + 0.984531i 0.805131 + 0.593097i \(0.202095\pi\)
−0.920206 + 0.391434i \(0.871979\pi\)
\(230\) 0.162615 2.72868i 0.0107225 0.179924i
\(231\) 0.0672135 + 0.0398098i 0.00442233 + 0.00261929i
\(232\) 7.69967 + 10.4302i 0.505508 + 0.684773i
\(233\) −4.13369 + 11.3572i −0.270807 + 0.744036i 0.727513 + 0.686094i \(0.240676\pi\)
−0.998320 + 0.0579424i \(0.981546\pi\)
\(234\) 0.970755 + 10.4368i 0.0634603 + 0.682274i
\(235\) −0.980239 + 0.356778i −0.0639437 + 0.0232736i
\(236\) −1.85695 + 15.5245i −0.120877 + 1.01056i
\(237\) 6.57964 + 15.7326i 0.427394 + 1.02194i
\(238\) 0.0472075 0.00545334i 0.00306001 0.000353487i
\(239\) −6.28636 + 20.9979i −0.406631 + 1.35824i 0.472362 + 0.881405i \(0.343402\pi\)
−0.878992 + 0.476836i \(0.841784\pi\)
\(240\) −1.83906 1.10268i −0.118711 0.0711774i
\(241\) 11.1118 + 14.9258i 0.715775 + 0.961453i 0.999996 + 0.00269444i \(0.000857667\pi\)
−0.284221 + 0.958759i \(0.591735\pi\)
\(242\) 1.33564 + 0.673035i 0.0858579 + 0.0432644i
\(243\) −14.6349 + 5.36848i −0.938827 + 0.344388i
\(244\) 13.5706 10.0463i 0.868769 0.643146i
\(245\) 1.29372 + 1.73777i 0.0826527 + 0.111022i
\(246\) −3.02699 2.60499i −0.192994 0.166088i
\(247\) 14.8849 + 4.45626i 0.947107 + 0.283545i
\(248\) −2.74422 + 2.56816i −0.174258 + 0.163078i
\(249\) −1.62016 3.87397i −0.102674 0.245503i
\(250\) 4.07566 1.47721i 0.257767 0.0934267i
\(251\) 2.06459 + 5.67242i 0.130316 + 0.358040i 0.987641 0.156736i \(-0.0500972\pi\)
−0.857325 + 0.514776i \(0.827875\pi\)
\(252\) 0.0535075 + 0.0670994i 0.00337065 + 0.00422686i
\(253\) 6.73504 18.5044i 0.423429 1.16336i
\(254\) 0.0254014 18.8636i 0.00159383 1.18361i
\(255\) −0.641787 + 1.08357i −0.0401902 + 0.0678558i
\(256\) 2.94795 15.7261i 0.184247 0.982880i
\(257\) 0.166722 1.42639i 0.0103998 0.0889760i −0.987042 0.160464i \(-0.948701\pi\)
0.997441 + 0.0714884i \(0.0227749\pi\)
\(258\) −0.295084 + 2.27775i −0.0183711 + 0.141806i
\(259\) −0.100840 0.0663236i −0.00626590 0.00412115i
\(260\) −0.356690 + 1.48713i −0.0221210 + 0.0922281i
\(261\) 12.8135 + 4.98950i 0.793139 + 0.308842i
\(262\) −15.3751 + 6.60763i −0.949877 + 0.408221i
\(263\) 3.45608 + 11.5441i 0.213111 + 0.711841i 0.995974 + 0.0896460i \(0.0285736\pi\)
−0.782863 + 0.622195i \(0.786241\pi\)
\(264\) −10.4289 11.3955i −0.641854 0.701342i
\(265\) −3.73435 1.87546i −0.229399 0.115209i
\(266\) 0.121922 0.0363223i 0.00747552 0.00222706i
\(267\) 1.17479 0.124074i 0.0718957 0.00759319i
\(268\) 10.6898 2.50314i 0.652982 0.152903i
\(269\) −0.622245 + 1.07776i −0.0379390 + 0.0657122i −0.884371 0.466784i \(-0.845413\pi\)
0.846432 + 0.532496i \(0.178746\pi\)
\(270\) −2.27375 + 0.0532998i −0.138376 + 0.00324372i
\(271\) −0.124205 + 0.0717099i −0.00754492 + 0.00435606i −0.503768 0.863839i \(-0.668053\pi\)
0.496223 + 0.868195i \(0.334720\pi\)
\(272\) −9.24529 1.68159i −0.560578 0.101961i
\(273\) 0.0342015 0.0507609i 0.00206997 0.00307219i
\(274\) 4.55972 19.1242i 0.275463 1.15533i
\(275\) 15.4376 0.899138i 0.930922 0.0542201i
\(276\) 14.1337 16.3786i 0.850750 0.985878i
\(277\) −2.27440 + 9.59646i −0.136656 + 0.576596i 0.861027 + 0.508559i \(0.169822\pi\)
−0.997683 + 0.0680366i \(0.978327\pi\)
\(278\) 8.31539 11.1382i 0.498724 0.668023i
\(279\) −1.00547 + 3.85759i −0.0601957 + 0.230948i
\(280\) 0.00423504 + 0.0117836i 0.000253092 + 0.000704202i
\(281\) −20.9003 1.21731i −1.24681 0.0726184i −0.577991 0.816043i \(-0.696163\pi\)
−0.668819 + 0.743425i \(0.733200\pi\)
\(282\) −7.87877 2.46628i −0.469174 0.146865i
\(283\) 3.05798 4.10758i 0.181778 0.244170i −0.701889 0.712287i \(-0.747660\pi\)
0.883667 + 0.468116i \(0.155067\pi\)
\(284\) 13.9777 + 0.0376444i 0.829426 + 0.00223378i
\(285\) −1.18828 + 3.15506i −0.0703878 + 0.186889i
\(286\) −5.52133 + 9.53355i −0.326483 + 0.563731i
\(287\) 0.00404951 + 0.0229659i 0.000239035 + 0.00135564i
\(288\) −6.26711 15.7710i −0.369293 0.929313i
\(289\) 1.99366 11.3066i 0.117274 0.665096i
\(290\) 1.53513 + 1.29166i 0.0901462 + 0.0758487i
\(291\) −8.34106 + 7.69571i −0.488962 + 0.451131i
\(292\) 20.6514 17.2340i 1.20853 1.00855i
\(293\) 30.2608 7.17194i 1.76785 0.418989i 0.787512 0.616299i \(-0.211369\pi\)
0.980341 + 0.197310i \(0.0632205\pi\)
\(294\) −0.213940 + 17.1446i −0.0124772 + 0.999893i
\(295\) 0.280895 + 2.40321i 0.0163543 + 0.139920i
\(296\) 15.2672 + 18.3448i 0.887389 + 1.06627i
\(297\) −15.8076 4.30867i −0.917252 0.250014i
\(298\) 15.3086 10.0391i 0.886804 0.581551i
\(299\) −14.1673 6.11119i −0.819318 0.353419i
\(300\) 16.2061 + 5.09693i 0.935657 + 0.294271i
\(301\) 0.00975547 0.00920381i 0.000562296 0.000530499i
\(302\) 11.9005 8.83468i 0.684794 0.508379i
\(303\) 2.98866 0.140709i 0.171694 0.00808353i
\(304\) −25.1559 0.135499i −1.44279 0.00777140i
\(305\) 1.67955 2.00161i 0.0961706 0.114612i
\(306\) −9.24250 + 3.73058i −0.528359 + 0.213263i
\(307\) 3.12756 2.62434i 0.178499 0.149779i −0.549160 0.835717i \(-0.685052\pi\)
0.727660 + 0.685938i \(0.240608\pi\)
\(308\) 0.00500232 + 0.0900645i 0.000285033 + 0.00513190i
\(309\) −11.7486 10.0832i −0.668356 0.573616i
\(310\) −0.320265 + 0.485515i −0.0181899 + 0.0275754i
\(311\) −1.63008 3.77896i −0.0924335 0.214285i 0.865727 0.500517i \(-0.166857\pi\)
−0.958160 + 0.286232i \(0.907597\pi\)
\(312\) −9.38868 + 7.63835i −0.531529 + 0.432436i
\(313\) 29.9315 15.0322i 1.69183 0.849669i 0.701222 0.712943i \(-0.252638\pi\)
0.990609 0.136726i \(-0.0436581\pi\)
\(314\) −20.4029 + 19.1973i −1.15140 + 1.08337i
\(315\) 0.0104739 + 0.00816607i 0.000590135 + 0.000460106i
\(316\) −10.8647 + 16.4225i −0.611188 + 0.923838i
\(317\) −6.33606 + 6.71583i −0.355869 + 0.377199i −0.880432 0.474173i \(-0.842747\pi\)
0.524563 + 0.851372i \(0.324229\pi\)
\(318\) −14.4730 29.7376i −0.811604 1.66760i
\(319\) 7.94191 + 12.0751i 0.444662 + 0.676075i
\(320\) −0.123992 2.47292i −0.00693138 0.138240i
\(321\) 14.7165 15.2548i 0.821396 0.851440i
\(322\) −0.124439 + 0.0217693i −0.00693474 + 0.00121315i
\(323\) 14.7745i 0.822077i
\(324\) −14.5551 10.5900i −0.808619 0.588332i
\(325\) 12.1163i 0.672091i
\(326\) −1.66130 9.49647i −0.0920110 0.525961i
\(327\) −7.02190 24.4418i −0.388312 1.35163i
\(328\) 0.553847 4.57800i 0.0305811 0.252778i
\(329\) 0.0264912 + 0.0402780i 0.00146051 + 0.00222060i
\(330\) −1.98068 1.33841i −0.109033 0.0736773i
\(331\) 2.20101 2.33294i 0.120979 0.128230i −0.664053 0.747685i \(-0.731165\pi\)
0.785032 + 0.619456i \(0.212647\pi\)
\(332\) 2.67532 4.04386i 0.146827 0.221936i
\(333\) 24.0833 + 7.79831i 1.31976 + 0.427345i
\(334\) 4.70233 + 4.99764i 0.257300 + 0.273459i
\(335\) 1.51829 0.762513i 0.0829529 0.0416605i
\(336\) −0.0299859 + 0.0944529i −0.00163587 + 0.00515283i
\(337\) −6.13473 14.2219i −0.334180 0.774717i −0.999601 0.0282482i \(-0.991007\pi\)
0.665421 0.746468i \(-0.268252\pi\)
\(338\) −8.14101 5.37015i −0.442813 0.292097i
\(339\) −1.79863 + 9.57599i −0.0976884 + 0.520096i
\(340\) −1.45196 + 0.0806439i −0.0787435 + 0.00437353i
\(341\) −3.20972 + 2.69328i −0.173816 + 0.145849i
\(342\) −22.6326 + 14.1318i −1.22383 + 0.764159i
\(343\) 0.128717 0.153399i 0.00695006 0.00828276i
\(344\) −2.37479 + 1.18068i −0.128040 + 0.0636577i
\(345\) 1.53573 2.97485i 0.0826808 0.160161i
\(346\) 17.7173 + 23.8654i 0.952486 + 1.28301i
\(347\) 25.0644 23.6470i 1.34553 1.26944i 0.411884 0.911236i \(-0.364871\pi\)
0.933644 0.358203i \(-0.116611\pi\)
\(348\) 3.44778 + 15.4991i 0.184820 + 0.830839i
\(349\) −16.9137 7.29588i −0.905372 0.390539i −0.108086 0.994142i \(-0.534472\pi\)
−0.797286 + 0.603602i \(0.793732\pi\)
\(350\) −0.0544019 0.0829572i −0.00290791 0.00443425i
\(351\) −4.09042 + 12.1685i −0.218330 + 0.649505i
\(352\) 4.23025 17.3281i 0.225473 0.923590i
\(353\) 1.72615 + 14.7682i 0.0918738 + 0.786031i 0.958111 + 0.286398i \(0.0924578\pi\)
−0.866237 + 0.499633i \(0.833468\pi\)
\(354\) −9.78074 + 16.4629i −0.519840 + 0.874991i
\(355\) 2.10478 0.498841i 0.111710 0.0264758i
\(356\) 0.873990 + 1.04730i 0.0463214 + 0.0555066i
\(357\) 0.0555673 + 0.0173120i 0.00294093 + 0.000916248i
\(358\) −14.5563 + 17.3002i −0.769327 + 0.914345i
\(359\) 2.38319 13.5158i 0.125780 0.713335i −0.855061 0.518527i \(-0.826481\pi\)
0.980841 0.194808i \(-0.0624083\pi\)
\(360\) −1.51233 2.14707i −0.0797066 0.113160i
\(361\) 3.56886 + 20.2400i 0.187835 + 1.06526i
\(362\) −20.9231 12.1176i −1.09970 0.636886i
\(363\) 1.16174 + 1.41623i 0.0609756 + 0.0743328i
\(364\) 0.0706766 0.000190344i 0.00370446 9.97674e-6i
\(365\) 2.48566 3.33882i 0.130105 0.174762i
\(366\) 20.1798 4.51753i 1.05482 0.236135i
\(367\) 16.5212 + 0.962253i 0.862402 + 0.0502292i 0.483642 0.875266i \(-0.339314\pi\)
0.378760 + 0.925495i \(0.376351\pi\)
\(368\) 24.7957 + 3.03367i 1.29256 + 0.158141i
\(369\) −2.09728 4.41864i −0.109180 0.230025i
\(370\) 2.95959 + 2.20954i 0.153862 + 0.114868i
\(371\) −0.0445376 + 0.187919i −0.00231228 + 0.00975626i
\(372\) −4.34693 + 1.51443i −0.225378 + 0.0785197i
\(373\) −9.91653 + 0.577572i −0.513459 + 0.0299056i −0.312919 0.949780i \(-0.601307\pi\)
−0.200540 + 0.979686i \(0.564270\pi\)
\(374\) −10.1902 2.42962i −0.526923 0.125633i
\(375\) 5.29665 + 0.367694i 0.273518 + 0.0189877i
\(376\) −2.69716 9.14341i −0.139095 0.471535i
\(377\) 9.80699 5.66207i 0.505085 0.291611i
\(378\) 0.0266302 + 0.101680i 0.00136971 + 0.00522987i
\(379\) 14.9093 25.8237i 0.765839 1.32647i −0.173962 0.984752i \(-0.555657\pi\)
0.939802 0.341720i \(-0.111010\pi\)
\(380\) −3.79043 + 0.887575i −0.194445 + 0.0455316i
\(381\) 9.38625 21.1105i 0.480872 1.08152i
\(382\) 4.94855 + 16.6107i 0.253190 + 0.849876i
\(383\) −12.8438 6.45039i −0.656287 0.329600i 0.0893033 0.996004i \(-0.471536\pi\)
−0.745590 + 0.666405i \(0.767832\pi\)
\(384\) 11.1024 16.1473i 0.566567 0.824016i
\(385\) 0.00400352 + 0.0133727i 0.000204038 + 0.000681535i
\(386\) 0.607477 + 1.41352i 0.0309198 + 0.0719463i
\(387\) −1.46037 + 2.40419i −0.0742347 + 0.122212i
\(388\) −12.7431 3.05645i −0.646935 0.155168i
\(389\) 0.682956 + 0.449187i 0.0346272 + 0.0227747i 0.566705 0.823921i \(-0.308218\pi\)
−0.532077 + 0.846696i \(0.678588\pi\)
\(390\) −1.13715 + 1.48832i −0.0575817 + 0.0753638i
\(391\) 1.70324 14.5722i 0.0861366 0.736946i
\(392\) −16.5851 + 10.8125i −0.837676 + 0.546113i
\(393\) −20.4946 0.228142i −1.03382 0.0115082i
\(394\) 18.5162 + 0.0249337i 0.932835 + 0.00125614i
\(395\) −1.04221 + 2.86346i −0.0524395 + 0.144076i
\(396\) −6.02504 17.9339i −0.302769 0.901215i
\(397\) −10.9448 30.0707i −0.549305 1.50920i −0.834651 0.550779i \(-0.814331\pi\)
0.285346 0.958425i \(-0.407892\pi\)
\(398\) 6.70685 + 18.5044i 0.336184 + 0.927542i
\(399\) 0.154545 + 0.0198098i 0.00773690 + 0.000991730i
\(400\) 5.52487 + 18.8228i 0.276243 + 0.941138i
\(401\) 1.20730 + 0.361441i 0.0602896 + 0.0180495i 0.316806 0.948490i \(-0.397390\pi\)
−0.256516 + 0.966540i \(0.582575\pi\)
\(402\) 13.2119 + 2.49999i 0.658952 + 0.124688i
\(403\) 1.96046 + 2.63336i 0.0976575 + 0.131177i
\(404\) 2.05561 + 2.77674i 0.102270 + 0.138148i
\(405\) −2.57254 1.06827i −0.127831 0.0530828i
\(406\) 0.0417234 0.0827999i 0.00207070 0.00410929i
\(407\) 15.8885 + 21.3420i 0.787564 + 1.05788i
\(408\) −9.51849 6.46939i −0.471236 0.320282i
\(409\) −8.15135 + 27.2274i −0.403058 + 1.34631i 0.480092 + 0.877218i \(0.340603\pi\)
−0.883150 + 0.469090i \(0.844582\pi\)
\(410\) −0.0818915 0.708904i −0.00404433 0.0350103i
\(411\) 14.5929 19.1529i 0.719816 0.944742i
\(412\) 2.12326 17.7509i 0.104605 0.874524i
\(413\) 0.105076 0.0382447i 0.00517047 0.00188190i
\(414\) 23.9517 11.3291i 1.17716 0.556793i
\(415\) 0.256634 0.705096i 0.0125977 0.0346118i
\(416\) −13.3614 4.09835i −0.655094 0.200938i
\(417\) 14.8368 8.34722i 0.726561 0.408765i
\(418\) −27.9948 1.66834i −1.36927 0.0816011i
\(419\) −1.90994 + 16.3406i −0.0933067 + 0.798290i 0.862855 + 0.505451i \(0.168674\pi\)
−0.956162 + 0.292839i \(0.905400\pi\)
\(420\) −0.00110324 + 0.0152959i −5.38328e−5 + 0.000746364i
\(421\) −7.79770 + 11.8558i −0.380037 + 0.577818i −0.973964 0.226701i \(-0.927206\pi\)
0.593928 + 0.804518i \(0.297576\pi\)
\(422\) 11.1110 2.61756i 0.540875 0.127421i
\(423\) −7.59902 6.67016i −0.369477 0.324314i
\(424\) 19.2279 32.9951i 0.933787 1.60238i
\(425\) 11.0372 3.30431i 0.535381 0.160283i
\(426\) 15.6333 + 6.97619i 0.757437 + 0.337997i
\(427\) −0.107911 0.0541949i −0.00522217 0.00262267i
\(428\) 24.0921 + 4.31501i 1.16453 + 0.208574i
\(429\) −10.9120 + 7.93648i −0.526839 + 0.383177i
\(430\) −0.314752 + 0.263387i −0.0151787 + 0.0127016i
\(431\) −10.9232 + 18.9196i −0.526152 + 0.911323i 0.473383 + 0.880857i \(0.343033\pi\)
−0.999536 + 0.0304663i \(0.990301\pi\)
\(432\) 0.805832 20.7690i 0.0387706 0.999248i
\(433\) −10.5159 18.2141i −0.505364 0.875316i −0.999981 0.00620467i \(-0.998025\pi\)
0.494617 0.869111i \(-0.335308\pi\)
\(434\) 0.0252465 + 0.00922749i 0.00121187 + 0.000442934i
\(435\) 1.07825 + 2.20792i 0.0516982 + 0.105862i
\(436\) 18.9357 22.4436i 0.906855 1.07486i
\(437\) −2.28370 39.2096i −0.109244 1.87565i
\(438\) 31.6745 9.05363i 1.51346 0.432599i
\(439\) 1.21187 5.11330i 0.0578396 0.244044i −0.936444 0.350818i \(-0.885904\pi\)
0.994283 + 0.106773i \(0.0340519\pi\)
\(440\) 0.0111509 2.76028i 0.000531597 0.131591i
\(441\) −8.74460 + 19.0920i −0.416410 + 0.909145i
\(442\) −2.36470 + 7.86012i −0.112477 + 0.373868i
\(443\) 3.04793 + 0.177522i 0.144812 + 0.00843431i 0.130397 0.991462i \(-0.458375\pi\)
0.0144141 + 0.999896i \(0.495412\pi\)
\(444\) 7.99552 + 28.1158i 0.379451 + 1.33432i
\(445\) 0.169322 + 0.126055i 0.00802662 + 0.00597559i
\(446\) 12.0904 + 24.1551i 0.572498 + 1.14377i
\(447\) 22.1224 3.64736i 1.04636 0.172514i
\(448\) −0.109883 + 0.0319319i −0.00519150 + 0.00150864i
\(449\) −10.0311 + 1.76876i −0.473397 + 0.0834727i −0.405257 0.914203i \(-0.632818\pi\)
−0.0681408 + 0.997676i \(0.521707\pi\)
\(450\) 15.6188 + 13.7469i 0.736275 + 0.648035i
\(451\) 0.892694 5.06272i 0.0420353 0.238394i
\(452\) −10.3426 + 4.42836i −0.486475 + 0.208292i
\(453\) 17.7086 3.98936i 0.832021 0.187436i
\(454\) −16.8649 7.30175i −0.791508 0.342688i
\(455\) 0.0106425 0.00252233i 0.000498930 0.000118248i
\(456\) −28.1018 12.6310i −1.31599 0.591500i
\(457\) −23.6592 + 2.76536i −1.10673 + 0.129358i −0.649771 0.760130i \(-0.725135\pi\)
−0.456958 + 0.889488i \(0.651061\pi\)
\(458\) −21.1791 + 1.20493i −0.989633 + 0.0563025i
\(459\) −12.2002 0.407566i −0.569458 0.0190235i
\(460\) 3.84084 0.438448i 0.179080 0.0204427i
\(461\) −6.17622 + 14.3181i −0.287655 + 0.666860i −0.999366 0.0356132i \(-0.988662\pi\)
0.711710 + 0.702473i \(0.247921\pi\)
\(462\) −0.0390774 + 0.103334i −0.00181805 + 0.00480753i
\(463\) −16.3317 + 15.4082i −0.758998 + 0.716078i −0.964935 0.262487i \(-0.915457\pi\)
0.205937 + 0.978565i \(0.433976\pi\)
\(464\) −12.6534 + 13.2679i −0.587419 + 0.615947i
\(465\) −0.599479 + 0.384793i −0.0278002 + 0.0178444i
\(466\) −16.8287 2.99072i −0.779572 0.138542i
\(467\) 13.2796 15.8260i 0.614506 0.732340i −0.365609 0.930768i \(-0.619139\pi\)
0.980115 + 0.198428i \(0.0635837\pi\)
\(468\) −14.3025 + 3.89576i −0.661132 + 0.180082i
\(469\) −0.0504712 0.0601493i −0.00233055 0.00277744i
\(470\) −0.735896 1.27858i −0.0339444 0.0589766i
\(471\) −32.3701 + 11.3753i −1.49154 + 0.524148i
\(472\) −22.0791 + 1.19649i −1.01627 + 0.0550727i
\(473\) −2.71479 + 1.17104i −0.124826 + 0.0538447i
\(474\) −20.3129 + 12.9998i −0.933003 + 0.597103i
\(475\) 27.5622 13.8422i 1.26464 0.635126i
\(476\) 0.0191013 + 0.0644338i 0.000875505 + 0.00295332i
\(477\) −1.45444 40.4792i −0.0665940 1.85342i
\(478\) −30.7833 3.64007i −1.40799 0.166493i
\(479\) 6.07920 6.44357i 0.277766 0.294414i −0.573439 0.819248i \(-0.694391\pi\)
0.851205 + 0.524834i \(0.175873\pi\)
\(480\) 1.08791 2.83063i 0.0496562 0.129200i
\(481\) 17.4176 11.4557i 0.794174 0.522336i
\(482\) −18.0845 + 19.1168i −0.823727 + 0.870747i
\(483\) −0.150144 0.0373547i −0.00683179 0.00169970i
\(484\) −0.612083 + 2.02464i −0.0278219 + 0.0920290i
\(485\) −2.02795 −0.0920845
\(486\) −11.0451 19.0789i −0.501017 0.865438i
\(487\) 42.6254i 1.93154i 0.259396 + 0.965771i \(0.416476\pi\)
−0.259396 + 0.965771i \(0.583524\pi\)
\(488\) 17.3022 + 16.4564i 0.783233 + 0.744945i
\(489\) 2.85069 11.4581i 0.128913 0.518153i
\(490\) −2.10553 + 2.22572i −0.0951181 + 0.100548i
\(491\) 19.3904 + 29.4816i 0.875074 + 1.33049i 0.942999 + 0.332796i \(0.107992\pi\)
−0.0679245 + 0.997690i \(0.521638\pi\)
\(492\) 2.89123 4.85160i 0.130347 0.218727i
\(493\) 7.83231 + 7.38940i 0.352749 + 0.332802i
\(494\) −2.58037 + 21.8216i −0.116096 + 0.981800i
\(495\) −1.55397 2.48130i −0.0698457 0.111526i
\(496\) −4.24636 3.19699i −0.190667 0.143549i
\(497\) −0.0448649 0.0893334i −0.00201247 0.00400715i
\(498\) 5.00183 3.20107i 0.224137 0.143443i
\(499\) −4.38201 10.1586i −0.196166 0.454763i 0.791534 0.611125i \(-0.209283\pi\)
−0.987700 + 0.156362i \(0.950023\pi\)
\(500\) 3.05107 + 5.31763i 0.136448 + 0.237812i
\(501\) 2.78636 + 7.92898i 0.124485 + 0.354241i
\(502\) −7.39887 + 4.25847i −0.330228 + 0.190065i
\(503\) −23.2635 + 19.5204i −1.03727 + 0.870370i −0.991698 0.128591i \(-0.958955\pi\)
−0.0455693 + 0.998961i \(0.514510\pi\)
\(504\) −0.0804335 + 0.0908911i −0.00358279 + 0.00404861i
\(505\) 0.409558 + 0.343660i 0.0182251 + 0.0152927i
\(506\) 27.4190 + 4.87279i 1.21892 + 0.216622i
\(507\) −6.45214 10.0520i −0.286549 0.446423i
\(508\) 26.2843 4.56168i 1.16618 0.202392i
\(509\) −29.0785 30.8214i −1.28888 1.36614i −0.894422 0.447223i \(-0.852413\pi\)
−0.394460 0.918913i \(-0.629068\pi\)
\(510\) −1.66588 0.629980i −0.0737664 0.0278960i
\(511\) −0.176636 0.0761932i −0.00781390 0.00337059i
\(512\) 22.6258 + 0.274220i 0.999927 + 0.0121189i
\(513\) −32.3540 + 4.59697i −1.42846 + 0.202961i
\(514\) 2.02768 0.115359i 0.0894371 0.00508829i
\(515\) −0.321178 2.74785i −0.0141528 0.121085i
\(516\) −3.24495 + 0.144018i −0.142851 + 0.00634004i
\(517\) −2.45085 10.3409i −0.107788 0.454794i
\(518\) 0.0678179 0.156639i 0.00297975 0.00688233i
\(519\) 8.00034 + 35.5132i 0.351176 + 1.55886i
\(520\) −2.15859 0.134475i −0.0946603 0.00589713i
\(521\) 14.7944 + 2.60865i 0.648154 + 0.114287i 0.488053 0.872814i \(-0.337707\pi\)
0.160100 + 0.987101i \(0.448818\pi\)
\(522\) −3.82800 + 19.0660i −0.167547 + 0.834494i
\(523\) −0.997568 5.65749i −0.0436206 0.247385i 0.955199 0.295965i \(-0.0956413\pi\)
−0.998819 + 0.0485807i \(0.984530\pi\)
\(524\) −12.9517 19.8081i −0.565798 0.865322i
\(525\) −0.0197650 0.119881i −0.000862617 0.00523205i
\(526\) −15.2394 + 7.62782i −0.664468 + 0.332589i
\(527\) −1.86417 + 2.50401i −0.0812045 + 0.109077i
\(528\) 13.3330 17.3051i 0.580245 0.753109i
\(529\) −0.930424 + 15.9748i −0.0404532 + 0.694555i
\(530\) 1.70257 5.65922i 0.0739547 0.245821i
\(531\) −19.1191 + 13.5828i −0.829699 + 0.589443i
\(532\) 0.0803114 + 0.160993i 0.00348194 + 0.00697992i
\(533\) −3.91940 0.928915i −0.169768 0.0402358i
\(534\) 0.459137 + 1.60631i 0.0198688 + 0.0695117i
\(535\) 3.78120 0.220230i 0.163476 0.00952137i
\(536\) 6.09211 + 14.2815i 0.263139 + 0.616865i
\(537\) −24.8821 + 12.1514i −1.07374 + 0.524370i
\(538\) −1.65302 0.604174i −0.0712669 0.0260478i
\(539\) −19.1145 + 11.0357i −0.823319 + 0.475343i
\(540\) −0.628362 3.15447i −0.0270404 0.135747i
\(541\) −11.4359 6.60255i −0.491670 0.283866i 0.233597 0.972333i \(-0.424950\pi\)
−0.725267 + 0.688468i \(0.758284\pi\)
\(542\) −0.130165 0.155549i −0.00559106 0.00668141i
\(543\) −17.4181 23.9485i −0.747481 1.02773i
\(544\) 0.0894752 13.2890i 0.00383622 0.569762i
\(545\) 2.03944 4.06085i 0.0873599 0.173948i
\(546\) 0.0790478 + 0.0352742i 0.00338293 + 0.00150960i
\(547\) 2.64064 + 8.82036i 0.112906 + 0.377131i 0.995701 0.0926268i \(-0.0295264\pi\)
−0.882795 + 0.469758i \(0.844341\pi\)
\(548\) 27.7523 + 1.69139i 1.18552 + 0.0722527i
\(549\) 24.8380 + 4.95210i 1.06006 + 0.211351i
\(550\) 5.01469 + 21.2864i 0.213827 + 0.907653i
\(551\) 24.0841 + 15.8403i 1.02602 + 0.674821i
\(552\) 26.2608 + 15.6976i 1.11773 + 0.668135i
\(553\) 0.139875 + 0.0163491i 0.00594809 + 0.000695232i
\(554\) −13.9227 0.829718i −0.591519 0.0352513i
\(555\) 2.21799 + 3.94238i 0.0941486 + 0.167345i
\(556\) 17.5426 + 8.86945i 0.743971 + 0.376149i
\(557\) −36.4288 13.2590i −1.54354 0.561803i −0.576649 0.816992i \(-0.695640\pi\)
−0.966891 + 0.255190i \(0.917862\pi\)
\(558\) −5.61888 0.460578i −0.237866 0.0194978i
\(559\) 0.792314 + 2.17686i 0.0335113 + 0.0920715i
\(560\) −0.0153831 + 0.00877130i −0.000650055 + 0.000370655i
\(561\) −10.2055 7.77577i −0.430877 0.328293i
\(562\) −3.39764 29.4121i −0.143321 1.24067i
\(563\) 17.3530 + 5.19515i 0.731342 + 0.218949i 0.630758 0.775979i \(-0.282744\pi\)
0.100583 + 0.994929i \(0.467929\pi\)
\(564\) 1.51561 11.5766i 0.0638188 0.487463i
\(565\) −1.39655 + 1.03970i −0.0587535 + 0.0437403i
\(566\) 6.46733 + 3.25893i 0.271842 + 0.136983i
\(567\) −0.0206214 + 0.127070i −0.000866016 + 0.00533645i
\(568\) 3.35393 + 19.4810i 0.140728 + 0.817403i
\(569\) −14.5810 + 10.8552i −0.611269 + 0.455073i −0.857745 0.514076i \(-0.828135\pi\)
0.246475 + 0.969149i \(0.420728\pi\)
\(570\) −4.68476 0.886459i −0.196223 0.0371297i
\(571\) −9.60979 + 32.0989i −0.402157 + 1.34330i 0.482026 + 0.876157i \(0.339901\pi\)
−0.884183 + 0.467141i \(0.845284\pi\)
\(572\) −14.6263 5.36820i −0.611558 0.224456i
\(573\) −2.69889 + 21.0552i −0.112748 + 0.879592i
\(574\) −0.0310060 + 0.0112380i −0.00129416 + 0.000469065i
\(575\) −28.7804 + 10.4752i −1.20023 + 0.436847i
\(576\) 20.4426 12.5738i 0.851774 0.523909i
\(577\) 4.88171 + 1.77680i 0.203228 + 0.0739690i 0.441629 0.897198i \(-0.354401\pi\)
−0.238400 + 0.971167i \(0.576623\pi\)
\(578\) 16.2366 + 0.0218640i 0.675355 + 0.000909422i
\(579\) −0.0209744 + 1.88419i −0.000871666 + 0.0783042i
\(580\) −1.42524 + 2.45331i −0.0591799 + 0.101868i
\(581\) −0.0344427 0.00402577i −0.00142892 0.000167017i
\(582\) −12.7533 9.74413i −0.528641 0.403907i
\(583\) 23.3944 35.5695i 0.968898 1.47314i
\(584\) 29.0408 + 24.5687i 1.20171 + 1.01666i
\(585\) −2.01167 + 1.10247i −0.0831725 + 0.0455817i
\(586\) 17.3655 + 40.4072i 0.717361 + 1.66921i
\(587\) 10.2566 3.07062i 0.423334 0.126738i −0.0680479 0.997682i \(-0.521677\pi\)
0.491382 + 0.870944i \(0.336492\pi\)
\(588\) −23.9355 + 3.88011i −0.987085 + 0.160013i
\(589\) −3.75064 + 7.46813i −0.154542 + 0.307719i
\(590\) −3.27936 + 0.976965i −0.135009 + 0.0402210i
\(591\) 20.7218 + 9.21340i 0.852379 + 0.378989i
\(592\) −21.8347 + 25.7387i −0.897400 + 1.05786i
\(593\) −41.8963 24.1888i −1.72047 0.993316i −0.917951 0.396694i \(-0.870158\pi\)
−0.802522 0.596622i \(-0.796509\pi\)
\(594\) 2.14990 23.0710i 0.0882116 0.946613i
\(595\) 0.00520007 + 0.00900679i 0.000213182 + 0.000369242i
\(596\) 17.7158 + 18.8792i 0.725667 + 0.773324i
\(597\) −1.66941 + 24.0480i −0.0683246 + 0.984218i
\(598\) 5.06067 21.2252i 0.206946 0.867964i
\(599\) 1.79286 + 30.7822i 0.0732543 + 1.25773i 0.811965 + 0.583706i \(0.198398\pi\)
−0.738711 + 0.674022i \(0.764565\pi\)
\(600\) −3.15090 + 23.8181i −0.128635 + 0.972370i
\(601\) 45.3003 + 10.7364i 1.84784 + 0.437946i 0.996270 0.0862964i \(-0.0275032\pi\)
0.851569 + 0.524242i \(0.175651\pi\)
\(602\) 0.0151989 + 0.0113470i 0.000619459 + 0.000462468i
\(603\) 13.5543 + 9.35358i 0.551973 + 0.380907i
\(604\) 15.2074 + 14.4250i 0.618779 + 0.586945i
\(605\) −0.0190320 + 0.326767i −0.000773761 + 0.0132850i
\(606\) 0.924352 + 4.12908i 0.0375492 + 0.167733i
\(607\) −27.6981 20.6205i −1.12423 0.836960i −0.136120 0.990692i \(-0.543463\pi\)
−0.988113 + 0.153732i \(0.950871\pi\)
\(608\) −5.94173 35.0766i −0.240969 1.42254i
\(609\) 0.0877962 0.0720197i 0.00355768 0.00291839i
\(610\) 3.19766 + 1.85192i 0.129470 + 0.0749819i
\(611\) −8.20037 + 1.44595i −0.331752 + 0.0584967i
\(612\) −7.44931 11.9662i −0.301120 0.483705i
\(613\) −45.6456 8.04855i −1.84361 0.325078i −0.860692 0.509126i \(-0.829969\pi\)
−0.982917 + 0.184048i \(0.941080\pi\)
\(614\) 4.41804 + 3.71732i 0.178297 + 0.150019i
\(615\) 0.259970 0.834441i 0.0104830 0.0336479i
\(616\) −0.124246 + 0.0289172i −0.00500601 + 0.00116511i
\(617\) −2.19613 9.26622i −0.0884130 0.373044i 0.910794 0.412861i \(-0.135471\pi\)
−0.999207 + 0.0398173i \(0.987322\pi\)
\(618\) 11.1834 18.8238i 0.449862 0.757205i
\(619\) −11.0055 + 1.28635i −0.442347 + 0.0517030i −0.334352 0.942448i \(-0.608517\pi\)
−0.107995 + 0.994151i \(0.534443\pi\)
\(620\) −0.754399 0.327828i −0.0302974 0.0131659i
\(621\) 32.4408 0.804165i 1.30180 0.0322700i
\(622\) 4.86705 3.19173i 0.195151 0.127977i
\(623\) 0.00386399 0.00895772i 0.000154807 0.000358884i
\(624\) −12.9287 11.2175i −0.517562 0.449060i
\(625\) −16.1763 17.1459i −0.647052 0.685835i
\(626\) 28.2350 + 38.0330i 1.12850 + 1.52011i
\(627\) −30.5204 15.7557i −1.21887 0.629224i
\(628\) −31.7151 23.7441i −1.26557 0.947491i
\(629\) 15.1855 + 12.7421i 0.605486 + 0.508063i
\(630\) −0.00882334 + 0.0165808i −0.000351530 + 0.000660593i
\(631\) −23.9258 28.5137i −0.952472 1.13511i −0.990730 0.135844i \(-0.956625\pi\)
0.0382585 0.999268i \(-0.487819\pi\)
\(632\) −25.5252 11.1330i −1.01534 0.442848i
\(633\) 13.7404 + 2.58082i 0.546131 + 0.102578i
\(634\) −10.8996 7.18985i −0.432880 0.285546i
\(635\) 3.79071 1.63515i 0.150430 0.0648890i
\(636\) 37.8991 27.4087i 1.50280 1.08683i
\(637\) 7.76137 + 15.4542i 0.307517 + 0.612316i
\(638\) −14.8859 + 14.0062i −0.589337 + 0.554512i
\(639\) 14.0452 + 15.5671i 0.555618 + 0.615826i
\(640\) 3.41470 0.775379i 0.134978 0.0306495i
\(641\) 17.6044 + 16.6089i 0.695331 + 0.656011i 0.950442 0.310901i \(-0.100631\pi\)
−0.255111 + 0.966912i \(0.582112\pi\)
\(642\) 24.8372 + 16.7834i 0.980247 + 0.662387i
\(643\) −7.55665 + 4.97009i −0.298005 + 0.196001i −0.689702 0.724093i \(-0.742259\pi\)
0.391697 + 0.920094i \(0.371888\pi\)
\(644\) −0.0606518 0.168046i −0.00239001 0.00662194i
\(645\) −0.483113 + 0.138794i −0.0190226 + 0.00546501i
\(646\) −20.5818 + 3.60055i −0.809779 + 0.141662i
\(647\) −41.6924 −1.63910 −0.819548 0.573011i \(-0.805775\pi\)
−0.819548 + 0.573011i \(0.805775\pi\)
\(648\) 11.2054 22.8569i 0.440188 0.897905i
\(649\) −24.6501 −0.967603
\(650\) 16.8787 2.95274i 0.662037 0.115816i
\(651\) 0.0236930 + 0.0228570i 0.000928601 + 0.000895835i
\(652\) 12.8243 4.62858i 0.502237 0.181269i
\(653\) 41.8583 27.5306i 1.63804 1.07736i 0.710459 0.703738i \(-0.248487\pi\)
0.927582 0.373619i \(-0.121883\pi\)
\(654\) 32.3376 15.7384i 1.26450 0.615419i
\(655\) −2.66397 2.51332i −0.104090 0.0982036i
\(656\) 6.51239 0.344118i 0.254266 0.0134355i
\(657\) 39.9597 + 5.57489i 1.55898 + 0.217497i
\(658\) −0.0496536 + 0.0467196i −0.00193570 + 0.00182132i
\(659\) −18.0494 35.9394i −0.703106 1.40000i −0.907052 0.421018i \(-0.861673\pi\)
0.203946 0.978982i \(-0.434623\pi\)
\(660\) 1.38180 3.08537i 0.0537864 0.120098i
\(661\) 12.4030 5.35012i 0.482420 0.208096i −0.140959 0.990015i \(-0.545019\pi\)
0.623379 + 0.781920i \(0.285759\pi\)
\(662\) 3.78630 + 2.49760i 0.147159 + 0.0970720i
\(663\) −6.54717 + 7.62853i −0.254271 + 0.296268i
\(664\) 6.28530 + 2.74138i 0.243917 + 0.106386i
\(665\) 0.0178963 + 0.0213280i 0.000693990 + 0.000827066i
\(666\) −4.99439 + 35.4499i −0.193529 + 1.37366i
\(667\) −21.9281 18.3998i −0.849058 0.712445i
\(668\) −5.81605 + 7.76854i −0.225030 + 0.300574i
\(669\) 1.55585 + 33.0461i 0.0601525 + 1.27764i
\(670\) 1.43223 + 1.92924i 0.0553319 + 0.0745330i
\(671\) 18.2677 + 19.3626i 0.705216 + 0.747485i
\(672\) −0.138886 0.0187540i −0.00535764 0.000723449i
\(673\) −9.27215 + 21.4953i −0.357415 + 0.828581i 0.640734 + 0.767763i \(0.278630\pi\)
−0.998149 + 0.0608183i \(0.980629\pi\)
\(674\) 18.3169 12.0119i 0.705541 0.462682i
\(675\) 10.6701 + 23.1416i 0.410691 + 0.890721i
\(676\) 5.49696 12.6496i 0.211422 0.486523i
\(677\) −18.7179 + 2.18781i −0.719389 + 0.0840845i −0.467907 0.883778i \(-0.654992\pi\)
−0.251482 + 0.967862i \(0.580918\pi\)
\(678\) −13.7782 0.171933i −0.529150 0.00660303i
\(679\) 0.0216136 + 0.0911952i 0.000829456 + 0.00349975i
\(680\) −0.466184 2.00301i −0.0178773 0.0768119i
\(681\) −15.2627 16.5426i −0.584869 0.633915i
\(682\) −4.53410 3.81498i −0.173620 0.146083i
\(683\) 12.1394 + 2.14050i 0.464500 + 0.0819038i 0.401000 0.916078i \(-0.368663\pi\)
0.0634996 + 0.997982i \(0.479774\pi\)
\(684\) −25.2019 28.0846i −0.963620 1.07384i
\(685\) 4.23731 0.747151i 0.161899 0.0285472i
\(686\) 0.245062 + 0.141927i 0.00935650 + 0.00541879i
\(687\) −24.3136 9.15720i −0.927623 0.349369i
\(688\) −2.22349 3.02049i −0.0847696 0.115155i
\(689\) −26.7567 19.9197i −1.01935 0.758878i
\(690\) 4.51840 + 1.41439i 0.172012 + 0.0538448i
\(691\) −1.98343 + 34.0542i −0.0754533 + 1.29548i 0.721911 + 0.691986i \(0.243264\pi\)
−0.797365 + 0.603498i \(0.793773\pi\)
\(692\) −28.9282 + 30.4972i −1.09969 + 1.15933i
\(693\) −0.0950198 + 0.0963259i −0.00360950 + 0.00365912i
\(694\) 39.0499 + 29.1534i 1.48231 + 1.10665i
\(695\) 2.96000 + 0.701532i 0.112279 + 0.0266106i
\(696\) −20.7509 + 8.58009i −0.786562 + 0.325227i
\(697\) −0.222703 3.82366i −0.00843546 0.144831i
\(698\) 6.04170 25.3398i 0.228682 0.959127i
\(699\) −17.3608 11.6973i −0.656644 0.442431i
\(700\) 0.102306 0.0960017i 0.00386682 0.00362852i
\(701\) 18.5632 + 32.1524i 0.701121 + 1.21438i 0.968073 + 0.250668i \(0.0806502\pi\)
−0.266952 + 0.963710i \(0.586016\pi\)
\(702\) −17.9482 2.73273i −0.677412 0.103140i
\(703\) 45.9582 + 26.5340i 1.73335 + 1.00075i
\(704\) 25.1699 + 1.67013i 0.948628 + 0.0629455i
\(705\) −0.189767 1.79679i −0.00714702 0.0676711i
\(706\) −20.1523 + 6.00363i −0.758440 + 0.225950i
\(707\) 0.0110891 0.0220801i 0.000417047 0.000830409i
\(708\) −25.3173 9.61313i −0.951482 0.361284i
\(709\) 34.4053 10.3003i 1.29212 0.386835i 0.434291 0.900773i \(-0.356999\pi\)
0.857828 + 0.513938i \(0.171814\pi\)
\(710\) 1.20785 + 2.81051i 0.0453298 + 0.105477i
\(711\) −29.1949 + 4.48020i −1.09490 + 0.168021i
\(712\) −1.24595 + 1.47274i −0.0466940 + 0.0551934i
\(713\) 4.56021 6.93346i 0.170781 0.259660i
\(714\) −0.0105749 + 0.0816274i −0.000395755 + 0.00305483i
\(715\) −2.39478 0.279910i −0.0895597 0.0104680i
\(716\) −27.6476 16.0618i −1.03324 0.600257i
\(717\) −32.6647 19.3470i −1.21989 0.722525i
\(718\) 19.4090 + 0.0261359i 0.724338 + 0.000975381i
\(719\) −36.5436 13.3008i −1.36284 0.496035i −0.445912 0.895077i \(-0.647121\pi\)
−0.916933 + 0.399042i \(0.869343\pi\)
\(720\) 2.62244 2.63000i 0.0977324 0.0980143i
\(721\) −0.120145 + 0.0437294i −0.00447445 + 0.00162857i
\(722\) −27.3258 + 9.90413i −1.01696 + 0.368593i
\(723\) −29.7341 + 12.4353i −1.10582 + 0.462475i
\(724\) 11.7815 32.1002i 0.437857 1.19299i
\(725\) 6.44699 21.5344i 0.239435 0.799769i
\(726\) −1.68977 + 1.96351i −0.0627134 + 0.0728726i
\(727\) 9.63487 7.17290i 0.357338 0.266028i −0.403487 0.914985i \(-0.632202\pi\)
0.760825 + 0.648957i \(0.224795\pi\)
\(728\) 0.0169587 + 0.0985030i 0.000628532 + 0.00365076i
\(729\) −2.90349 26.8434i −0.107537 0.994201i
\(730\) 5.25693 + 2.64900i 0.194568 + 0.0980438i
\(731\) −1.76691 + 1.31541i −0.0653514 + 0.0486523i
\(732\) 11.2110 + 27.0107i 0.414370 + 0.998345i
\(733\) 42.3713 + 12.6851i 1.56502 + 0.468536i 0.947963 0.318381i \(-0.103139\pi\)
0.617058 + 0.786918i \(0.288324\pi\)
\(734\) 2.68575 + 23.2495i 0.0991329 + 0.858156i
\(735\) −3.46186 + 1.44781i −0.127693 + 0.0534033i
\(736\) 1.81663 + 35.2811i 0.0669619 + 1.30048i
\(737\) 5.92009 + 16.2653i 0.218069 + 0.599140i
\(738\) 5.64431 3.99846i 0.207770 0.147185i
\(739\) 27.8118 + 10.1227i 1.02307 + 0.372368i 0.798439 0.602075i \(-0.205659\pi\)
0.224633 + 0.974443i \(0.427882\pi\)
\(740\) −2.35676 + 4.66135i −0.0866362 + 0.171355i
\(741\) −13.7146 + 23.1553i −0.503820 + 0.850632i
\(742\) −0.272636 0.0162476i −0.0100088 0.000596469i
\(743\) −23.6959 2.76966i −0.869319 0.101609i −0.330273 0.943885i \(-0.607141\pi\)
−0.539046 + 0.842277i \(0.681215\pi\)
\(744\) −3.16904 5.68645i −0.116183 0.208475i
\(745\) 3.34735 + 2.20159i 0.122637 + 0.0806599i
\(746\) −3.22125 13.6735i −0.117938 0.500624i
\(747\) 7.18893 1.10320i 0.263029 0.0403640i
\(748\) 0.901250 14.7877i 0.0329530 0.540690i
\(749\) −0.0502031 0.167690i −0.00183438 0.00612726i
\(750\) 0.778574 + 7.46815i 0.0284295 + 0.272698i
\(751\) −8.49996 + 16.9248i −0.310168 + 0.617595i −0.993668 0.112355i \(-0.964161\pi\)
0.683500 + 0.729950i \(0.260457\pi\)
\(752\) 12.0800 5.98555i 0.440512 0.218270i
\(753\) −10.3976 + 1.09814i −0.378911 + 0.0400183i
\(754\) 10.2775 + 12.2819i 0.374286 + 0.447279i
\(755\) 2.80911 + 1.62184i 0.102234 + 0.0590247i
\(756\) −0.135157 + 0.0618769i −0.00491561 + 0.00225044i
\(757\) 31.2983 18.0701i 1.13755 0.656767i 0.191730 0.981448i \(-0.438590\pi\)
0.945824 + 0.324680i \(0.105257\pi\)
\(758\) 39.6073 + 14.4763i 1.43860 + 0.525803i
\(759\) 28.2860 + 19.0584i 1.02672 + 0.691776i
\(760\) −2.16017 5.06399i −0.0783577 0.183690i
\(761\) −0.130125 + 0.00757890i −0.00471701 + 0.000274735i −0.0605032 0.998168i \(-0.519271\pi\)
0.0557862 + 0.998443i \(0.482233\pi\)
\(762\) 31.6956 + 7.93096i 1.14821 + 0.287308i
\(763\) −0.204349 0.0484316i −0.00739793 0.00175334i
\(764\) −21.9337 + 10.9416i −0.793532 + 0.395854i
\(765\) −1.55290 1.53184i −0.0561452 0.0553839i
\(766\) 5.85574 19.4641i 0.211576 0.703266i
\(767\) −1.12301 + 19.2814i −0.0405497 + 0.696211i
\(768\) 25.1998 + 11.5312i 0.909321 + 0.416096i
\(769\) 1.81844 2.44259i 0.0655748 0.0880822i −0.768126 0.640299i \(-0.778810\pi\)
0.833701 + 0.552217i \(0.186218\pi\)
\(770\) −0.0176533 + 0.00883605i −0.000636179 + 0.000318429i
\(771\) 2.32778 + 0.876708i 0.0838331 + 0.0315739i
\(772\) −1.82107 + 1.19073i