Properties

Label 225.2.q.a.106.14
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.14
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.160864 + 0.0341926i) q^{2} +(1.48677 + 0.888545i) q^{3} +(-1.80238 - 0.802473i) q^{4} +(0.278910 - 2.21861i) q^{5} +(0.208786 + 0.193771i) q^{6} +(2.06663 - 3.57951i) q^{7} +(-0.528597 - 0.384048i) q^{8} +(1.42098 + 2.64213i) q^{9} +O(q^{10})\) \(q+(0.160864 + 0.0341926i) q^{2} +(1.48677 + 0.888545i) q^{3} +(-1.80238 - 0.802473i) q^{4} +(0.278910 - 2.21861i) q^{5} +(0.208786 + 0.193771i) q^{6} +(2.06663 - 3.57951i) q^{7} +(-0.528597 - 0.384048i) q^{8} +(1.42098 + 2.64213i) q^{9} +(0.120726 - 0.347356i) q^{10} +(0.350384 + 0.0744764i) q^{11} +(-1.96670 - 2.79459i) q^{12} +(-1.80589 + 0.383854i) q^{13} +(0.454839 - 0.505150i) q^{14} +(2.38601 - 3.05073i) q^{15} +(2.56843 + 2.85253i) q^{16} +(3.22940 + 2.34629i) q^{17} +(0.138242 + 0.473609i) q^{18} +(-0.0599095 - 0.0435268i) q^{19} +(-2.28307 + 3.77496i) q^{20} +(6.25317 - 3.48562i) q^{21} +(0.0538175 + 0.0239611i) q^{22} +(-2.92946 + 3.25349i) q^{23} +(-0.444658 - 1.04067i) q^{24} +(-4.84442 - 1.23758i) q^{25} -0.303627 q^{26} +(-0.234983 + 5.19084i) q^{27} +(-6.59733 + 4.79324i) q^{28} +(0.679330 + 6.46339i) q^{29} +(0.488134 - 0.409168i) q^{30} +(0.566578 - 5.39063i) q^{31} +(0.969013 + 1.67838i) q^{32} +(0.454765 + 0.422061i) q^{33} +(0.439267 + 0.487855i) q^{34} +(-7.36512 - 5.58341i) q^{35} +(-0.440908 - 5.90242i) q^{36} +(2.37480 - 7.30889i) q^{37} +(-0.00814896 - 0.00905033i) q^{38} +(-3.02602 - 1.03391i) q^{39} +(-0.999482 + 1.06563i) q^{40} +(-4.60199 + 0.978183i) q^{41} +(1.12509 - 0.346897i) q^{42} +(1.55061 - 2.68574i) q^{43} +(-0.571760 - 0.415408i) q^{44} +(6.25816 - 2.41567i) q^{45} +(-0.582489 + 0.423203i) q^{46} +(1.35210 + 12.8643i) q^{47} +(1.28406 + 6.52322i) q^{48} +(-5.04195 - 8.73292i) q^{49} +(-0.736974 - 0.364726i) q^{50} +(2.71659 + 6.35787i) q^{51} +(3.56294 + 0.757326i) q^{52} +(1.53179 - 1.11291i) q^{53} +(-0.215288 + 0.826982i) q^{54} +(0.262959 - 0.756591i) q^{55} +(-2.46712 + 1.09843i) q^{56} +(-0.0503961 - 0.117947i) q^{57} +(-0.111721 + 1.06295i) q^{58} +(-4.84033 + 1.02884i) q^{59} +(-6.74863 + 3.58388i) q^{60} +(-8.90148 - 1.89207i) q^{61} +(0.275461 - 0.847783i) q^{62} +(12.3942 + 0.373904i) q^{63} +(-2.27380 - 6.99805i) q^{64} +(0.347939 + 4.11362i) q^{65} +(0.0587237 + 0.0834439i) q^{66} +(-1.50633 + 14.3317i) q^{67} +(-3.93777 - 6.82042i) q^{68} +(-7.24631 + 2.23424i) q^{69} +(-0.993869 - 1.15000i) q^{70} +(10.8652 - 7.89400i) q^{71} +(0.263580 - 1.94234i) q^{72} +(4.15877 + 12.7994i) q^{73} +(0.631930 - 1.09453i) q^{74} +(-6.10289 - 6.14449i) q^{75} +(0.0730507 + 0.126528i) q^{76} +(0.990704 - 1.10029i) q^{77} +(-0.451424 - 0.269786i) q^{78} +(0.626261 + 5.95848i) q^{79} +(7.04499 - 4.90273i) q^{80} +(-4.96166 + 7.50879i) q^{81} -0.773739 q^{82} +(-2.63648 + 1.17384i) q^{83} +(-14.0677 + 1.26443i) q^{84} +(6.10621 - 6.51035i) q^{85} +(0.341269 - 0.379018i) q^{86} +(-4.73301 + 10.2132i) q^{87} +(-0.156609 - 0.173932i) q^{88} +(2.21408 + 6.81425i) q^{89} +(1.08931 - 0.174610i) q^{90} +(-2.35810 + 7.25750i) q^{91} +(7.89085 - 3.51323i) q^{92} +(5.63219 - 7.51120i) q^{93} +(-0.222362 + 2.11564i) q^{94} +(-0.113278 + 0.120775i) q^{95} +(-0.0506157 + 3.35638i) q^{96} +(-1.10503 - 10.5137i) q^{97} +(-0.512465 - 1.57721i) q^{98} +(0.301111 + 1.03159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.160864 + 0.0341926i 0.113748 + 0.0241778i 0.264434 0.964404i \(-0.414815\pi\)
−0.150686 + 0.988582i \(0.548148\pi\)
\(3\) 1.48677 + 0.888545i 0.858388 + 0.513002i
\(4\) −1.80238 0.802473i −0.901191 0.401236i
\(5\) 0.278910 2.21861i 0.124733 0.992190i
\(6\) 0.208786 + 0.193771i 0.0852364 + 0.0791067i
\(7\) 2.06663 3.57951i 0.781114 1.35293i −0.150179 0.988659i \(-0.547985\pi\)
0.931293 0.364271i \(-0.118682\pi\)
\(8\) −0.528597 0.384048i −0.186887 0.135782i
\(9\) 1.42098 + 2.64213i 0.473658 + 0.880709i
\(10\) 0.120726 0.347356i 0.0381771 0.109844i
\(11\) 0.350384 + 0.0744764i 0.105645 + 0.0224555i 0.260431 0.965493i \(-0.416135\pi\)
−0.154786 + 0.987948i \(0.549469\pi\)
\(12\) −1.96670 2.79459i −0.567737 0.806729i
\(13\) −1.80589 + 0.383854i −0.500864 + 0.106462i −0.451414 0.892315i \(-0.649080\pi\)
−0.0494500 + 0.998777i \(0.515747\pi\)
\(14\) 0.454839 0.505150i 0.121561 0.135007i
\(15\) 2.38601 3.05073i 0.616064 0.787696i
\(16\) 2.56843 + 2.85253i 0.642107 + 0.713132i
\(17\) 3.22940 + 2.34629i 0.783244 + 0.569060i 0.905951 0.423383i \(-0.139157\pi\)
−0.122707 + 0.992443i \(0.539157\pi\)
\(18\) 0.138242 + 0.473609i 0.0325840 + 0.111631i
\(19\) −0.0599095 0.0435268i −0.0137442 0.00998573i 0.580892 0.813981i \(-0.302704\pi\)
−0.594636 + 0.803995i \(0.702704\pi\)
\(20\) −2.28307 + 3.77496i −0.510511 + 0.844106i
\(21\) 6.25317 3.48562i 1.36455 0.760625i
\(22\) 0.0538175 + 0.0239611i 0.0114739 + 0.00510852i
\(23\) −2.92946 + 3.25349i −0.610834 + 0.678400i −0.966634 0.256162i \(-0.917542\pi\)
0.355799 + 0.934562i \(0.384209\pi\)
\(24\) −0.444658 1.04067i −0.0907655 0.212427i
\(25\) −4.84442 1.23758i −0.968884 0.247517i
\(26\) −0.303627 −0.0595462
\(27\) −0.234983 + 5.19084i −0.0452225 + 0.998977i
\(28\) −6.59733 + 4.79324i −1.24678 + 0.905837i
\(29\) 0.679330 + 6.46339i 0.126148 + 1.20022i 0.856132 + 0.516757i \(0.172861\pi\)
−0.729984 + 0.683465i \(0.760472\pi\)
\(30\) 0.488134 0.409168i 0.0891207 0.0747035i
\(31\) 0.566578 5.39063i 0.101760 0.968186i −0.817871 0.575402i \(-0.804846\pi\)
0.919631 0.392783i \(-0.128488\pi\)
\(32\) 0.969013 + 1.67838i 0.171299 + 0.296698i
\(33\) 0.454765 + 0.422061i 0.0791644 + 0.0734714i
\(34\) 0.439267 + 0.487855i 0.0753336 + 0.0836664i
\(35\) −7.36512 5.58341i −1.24493 0.943768i
\(36\) −0.440908 5.90242i −0.0734847 0.983736i
\(37\) 2.37480 7.30889i 0.390415 1.20157i −0.542060 0.840340i \(-0.682355\pi\)
0.932475 0.361235i \(-0.117645\pi\)
\(38\) −0.00814896 0.00905033i −0.00132194 0.00146816i
\(39\) −3.02602 1.03391i −0.484550 0.165558i
\(40\) −0.999482 + 1.06563i −0.158032 + 0.168491i
\(41\) −4.60199 + 0.978183i −0.718710 + 0.152767i −0.552727 0.833362i \(-0.686413\pi\)
−0.165983 + 0.986129i \(0.553080\pi\)
\(42\) 1.12509 0.346897i 0.173605 0.0535274i
\(43\) 1.55061 2.68574i 0.236466 0.409571i −0.723232 0.690605i \(-0.757344\pi\)
0.959698 + 0.281034i \(0.0906775\pi\)
\(44\) −0.571760 0.415408i −0.0861961 0.0626252i
\(45\) 6.25816 2.41567i 0.932911 0.360106i
\(46\) −0.582489 + 0.423203i −0.0858833 + 0.0623979i
\(47\) 1.35210 + 12.8643i 0.197224 + 1.87646i 0.428463 + 0.903560i \(0.359055\pi\)
−0.231239 + 0.972897i \(0.574278\pi\)
\(48\) 1.28406 + 6.52322i 0.185339 + 0.941545i
\(49\) −5.04195 8.73292i −0.720279 1.24756i
\(50\) −0.736974 0.364726i −0.104224 0.0515800i
\(51\) 2.71659 + 6.35787i 0.380398 + 0.890280i
\(52\) 3.56294 + 0.757326i 0.494091 + 0.105022i
\(53\) 1.53179 1.11291i 0.210408 0.152870i −0.477590 0.878583i \(-0.658490\pi\)
0.687998 + 0.725712i \(0.258490\pi\)
\(54\) −0.215288 + 0.826982i −0.0292971 + 0.112538i
\(55\) 0.262959 0.756591i 0.0354574 0.102019i
\(56\) −2.46712 + 1.09843i −0.329683 + 0.146784i
\(57\) −0.0503961 0.117947i −0.00667513 0.0156224i
\(58\) −0.111721 + 1.06295i −0.0146697 + 0.139573i
\(59\) −4.84033 + 1.02884i −0.630157 + 0.133944i −0.511909 0.859040i \(-0.671061\pi\)
−0.118249 + 0.992984i \(0.537728\pi\)
\(60\) −6.74863 + 3.58388i −0.871244 + 0.462678i
\(61\) −8.90148 1.89207i −1.13972 0.242255i −0.400876 0.916133i \(-0.631294\pi\)
−0.738843 + 0.673878i \(0.764627\pi\)
\(62\) 0.275461 0.847783i 0.0349836 0.107669i
\(63\) 12.3942 + 0.373904i 1.56152 + 0.0471075i
\(64\) −2.27380 6.99805i −0.284226 0.874756i
\(65\) 0.347939 + 4.11362i 0.0431565 + 0.510232i
\(66\) 0.0587237 + 0.0834439i 0.00722839 + 0.0102712i
\(67\) −1.50633 + 14.3317i −0.184027 + 1.75090i 0.379857 + 0.925045i \(0.375973\pi\)
−0.563884 + 0.825854i \(0.690693\pi\)
\(68\) −3.93777 6.82042i −0.477525 0.827098i
\(69\) −7.24631 + 2.23424i −0.872353 + 0.268971i
\(70\) −0.993869 1.15000i −0.118790 0.137451i
\(71\) 10.8652 7.89400i 1.28946 0.936845i 0.289662 0.957129i \(-0.406457\pi\)
0.999794 + 0.0202841i \(0.00645707\pi\)
\(72\) 0.263580 1.94234i 0.0310632 0.228907i
\(73\) 4.15877 + 12.7994i 0.486747 + 1.49805i 0.829435 + 0.558603i \(0.188663\pi\)
−0.342688 + 0.939449i \(0.611337\pi\)
\(74\) 0.631930 1.09453i 0.0734603 0.127237i
\(75\) −6.10289 6.14449i −0.704701 0.709504i
\(76\) 0.0730507 + 0.126528i 0.00837950 + 0.0145137i
\(77\) 0.990704 1.10029i 0.112901 0.125390i
\(78\) −0.451424 0.269786i −0.0511137 0.0305473i
\(79\) 0.626261 + 5.95848i 0.0704599 + 0.670381i 0.971564 + 0.236778i \(0.0760913\pi\)
−0.901104 + 0.433603i \(0.857242\pi\)
\(80\) 7.04499 4.90273i 0.787654 0.548141i
\(81\) −4.96166 + 7.50879i −0.551295 + 0.834310i
\(82\) −0.773739 −0.0854452
\(83\) −2.63648 + 1.17384i −0.289391 + 0.128845i −0.546298 0.837591i \(-0.683963\pi\)
0.256907 + 0.966436i \(0.417297\pi\)
\(84\) −14.0677 + 1.26443i −1.53491 + 0.137960i
\(85\) 6.10621 6.51035i 0.662312 0.706147i
\(86\) 0.341269 0.379018i 0.0368000 0.0408705i
\(87\) −4.73301 + 10.2132i −0.507432 + 1.09497i
\(88\) −0.156609 0.173932i −0.0166946 0.0185412i
\(89\) 2.21408 + 6.81425i 0.234692 + 0.722309i 0.997162 + 0.0752851i \(0.0239867\pi\)
−0.762470 + 0.647024i \(0.776013\pi\)
\(90\) 1.08931 0.174610i 0.114823 0.0184055i
\(91\) −2.35810 + 7.25750i −0.247196 + 0.760792i
\(92\) 7.89085 3.51323i 0.822678 0.366280i
\(93\) 5.63219 7.51120i 0.584031 0.778875i
\(94\) −0.222362 + 2.11564i −0.0229349 + 0.218211i
\(95\) −0.113278 + 0.120775i −0.0116221 + 0.0123913i
\(96\) −0.0506157 + 3.35638i −0.00516594 + 0.342559i
\(97\) −1.10503 10.5137i −0.112199 1.06750i −0.895256 0.445552i \(-0.853008\pi\)
0.783057 0.621950i \(-0.213659\pi\)
\(98\) −0.512465 1.57721i −0.0517668 0.159322i
\(99\) 0.301111 + 1.03159i 0.0302628 + 0.103678i
\(100\) 7.73837 + 6.11811i 0.773837 + 0.611811i
\(101\) 8.75862 15.1704i 0.871516 1.50951i 0.0110870 0.999939i \(-0.496471\pi\)
0.860429 0.509571i \(-0.170196\pi\)
\(102\) 0.219608 + 1.11564i 0.0217444 + 0.110465i
\(103\) 10.9302 + 4.86646i 1.07699 + 0.479506i 0.867057 0.498210i \(-0.166009\pi\)
0.209932 + 0.977716i \(0.432676\pi\)
\(104\) 1.10201 + 0.490645i 0.108061 + 0.0481117i
\(105\) −5.98914 14.8455i −0.584481 1.44877i
\(106\) 0.284463 0.126651i 0.0276295 0.0123014i
\(107\) −8.49063 −0.820820 −0.410410 0.911901i \(-0.634614\pi\)
−0.410410 + 0.911901i \(0.634614\pi\)
\(108\) 4.58903 9.16731i 0.441580 0.882125i
\(109\) 2.49526 7.67961i 0.239002 0.735573i −0.757563 0.652762i \(-0.773610\pi\)
0.996565 0.0828110i \(-0.0263898\pi\)
\(110\) 0.0681704 0.112717i 0.00649979 0.0107471i
\(111\) 10.0251 8.75653i 0.951538 0.831133i
\(112\) 15.5187 3.29859i 1.46638 0.311688i
\(113\) −8.69849 + 1.84892i −0.818285 + 0.173932i −0.597992 0.801502i \(-0.704035\pi\)
−0.220293 + 0.975434i \(0.570701\pi\)
\(114\) −0.00407400 0.0206965i −0.000381565 0.00193840i
\(115\) 6.40116 + 7.40675i 0.596911 + 0.690683i
\(116\) 3.96228 12.1946i 0.367889 1.13224i
\(117\) −3.58032 4.22594i −0.331000 0.390689i
\(118\) −0.813812 −0.0749175
\(119\) 15.0726 6.71074i 1.38170 0.615173i
\(120\) −2.43286 + 0.696267i −0.222089 + 0.0635602i
\(121\) −9.93178 4.42191i −0.902889 0.401992i
\(122\) −1.36723 0.608730i −0.123783 0.0551118i
\(123\) −7.71126 2.63474i −0.695301 0.237567i
\(124\) −5.34702 + 9.26131i −0.480177 + 0.831691i
\(125\) −4.09687 + 10.4027i −0.366435 + 0.930444i
\(126\) 1.98099 + 0.483936i 0.176480 + 0.0431125i
\(127\) −1.00273 3.08608i −0.0889778 0.273845i 0.896660 0.442720i \(-0.145987\pi\)
−0.985637 + 0.168875i \(0.945987\pi\)
\(128\) −0.531648 5.05830i −0.0469915 0.447094i
\(129\) 4.69180 2.61529i 0.413090 0.230263i
\(130\) −0.0846847 + 0.673628i −0.00742734 + 0.0590811i
\(131\) 0.899383 8.55705i 0.0785794 0.747633i −0.882304 0.470680i \(-0.844009\pi\)
0.960883 0.276953i \(-0.0893247\pi\)
\(132\) −0.480968 1.12565i −0.0418629 0.0979754i
\(133\) −0.279616 + 0.124493i −0.0242458 + 0.0107949i
\(134\) −0.732352 + 2.25395i −0.0632656 + 0.194711i
\(135\) 11.4509 + 1.96911i 0.985535 + 0.169474i
\(136\) −0.805959 2.48049i −0.0691105 0.212700i
\(137\) −3.83481 4.25899i −0.327630 0.363870i 0.556715 0.830703i \(-0.312061\pi\)
−0.884345 + 0.466833i \(0.845395\pi\)
\(138\) −1.24206 + 0.111638i −0.105731 + 0.00950328i
\(139\) 11.0972 12.3247i 0.941256 1.04537i −0.0576371 0.998338i \(-0.518357\pi\)
0.998893 0.0470333i \(-0.0149767\pi\)
\(140\) 8.79424 + 15.9738i 0.743249 + 1.35003i
\(141\) −9.42029 + 20.3277i −0.793331 + 1.71190i
\(142\) 2.01772 0.898349i 0.169324 0.0753877i
\(143\) −0.661343 −0.0553043
\(144\) −3.88706 + 10.8395i −0.323922 + 0.903290i
\(145\) 14.5292 + 0.295542i 1.20658 + 0.0245434i
\(146\) 0.231350 + 2.20115i 0.0191467 + 0.182169i
\(147\) 0.263363 17.4638i 0.0217218 1.44039i
\(148\) −10.1455 + 11.2677i −0.833954 + 0.926200i
\(149\) −3.50472 6.07035i −0.287118 0.497302i 0.686003 0.727599i \(-0.259364\pi\)
−0.973120 + 0.230297i \(0.926030\pi\)
\(150\) −0.771637 1.19710i −0.0630039 0.0977427i
\(151\) 2.35416 4.07752i 0.191579 0.331824i −0.754195 0.656651i \(-0.771973\pi\)
0.945774 + 0.324827i \(0.105306\pi\)
\(152\) 0.0149516 + 0.0460162i 0.00121273 + 0.00373241i
\(153\) −1.61031 + 11.8665i −0.130186 + 0.959350i
\(154\) 0.196990 0.143122i 0.0158739 0.0115331i
\(155\) −11.8017 2.76051i −0.947932 0.221730i
\(156\) 4.62435 + 4.29180i 0.370245 + 0.343619i
\(157\) 8.51816 + 14.7539i 0.679823 + 1.17749i 0.975034 + 0.222057i \(0.0712770\pi\)
−0.295210 + 0.955432i \(0.595390\pi\)
\(158\) −0.102993 + 0.979915i −0.00819370 + 0.0779579i
\(159\) 3.26630 0.293579i 0.259034 0.0232823i
\(160\) 3.99393 1.68174i 0.315748 0.132953i
\(161\) 5.59181 + 17.2098i 0.440696 + 1.35632i
\(162\) −1.05490 + 1.03824i −0.0828804 + 0.0815718i
\(163\) 0.313473 0.964770i 0.0245531 0.0755666i −0.938029 0.346556i \(-0.887351\pi\)
0.962582 + 0.270990i \(0.0873509\pi\)
\(164\) 9.07951 + 1.92991i 0.708991 + 0.150701i
\(165\) 1.06323 0.891226i 0.0827720 0.0693819i
\(166\) −0.464250 + 0.0986794i −0.0360328 + 0.00765901i
\(167\) −0.400647 + 3.81190i −0.0310030 + 0.294974i 0.968024 + 0.250860i \(0.0807132\pi\)
−0.999026 + 0.0441142i \(0.985953\pi\)
\(168\) −4.64405 0.559030i −0.358296 0.0431301i
\(169\) −8.76220 + 3.90118i −0.674015 + 0.300091i
\(170\) 1.20487 0.838491i 0.0924096 0.0643094i
\(171\) 0.0298733 0.220139i 0.00228447 0.0168344i
\(172\) −4.95002 + 3.59640i −0.377436 + 0.274223i
\(173\) −21.6977 4.61198i −1.64964 0.350642i −0.713064 0.701099i \(-0.752693\pi\)
−0.936579 + 0.350456i \(0.886026\pi\)
\(174\) −1.11058 + 1.48110i −0.0841932 + 0.112282i
\(175\) −14.4416 + 14.7830i −1.09168 + 1.11749i
\(176\) 0.687489 + 1.19077i 0.0518215 + 0.0897574i
\(177\) −8.11064 2.77120i −0.609633 0.208296i
\(178\) 0.123169 + 1.17187i 0.00923187 + 0.0878354i
\(179\) 11.8426 8.60413i 0.885156 0.643103i −0.0494548 0.998776i \(-0.515748\pi\)
0.934610 + 0.355673i \(0.115748\pi\)
\(180\) −13.2181 0.668044i −0.985219 0.0497930i
\(181\) −13.9341 10.1237i −1.03571 0.752489i −0.0662678 0.997802i \(-0.521109\pi\)
−0.969444 + 0.245313i \(0.921109\pi\)
\(182\) −0.627486 + 1.08684i −0.0465123 + 0.0805617i
\(183\) −11.5533 10.7224i −0.854043 0.792626i
\(184\) 2.79800 0.594733i 0.206271 0.0438443i
\(185\) −15.5532 7.30728i −1.14349 0.537242i
\(186\) 1.16284 1.01570i 0.0852637 0.0744747i
\(187\) 0.956785 + 1.06262i 0.0699671 + 0.0777063i
\(188\) 7.88628 24.2715i 0.575166 1.77018i
\(189\) 18.0951 + 11.5687i 1.31622 + 0.841498i
\(190\) −0.0223519 + 0.0155551i −0.00162158 + 0.00112848i
\(191\) 0.389712 + 0.432819i 0.0281986 + 0.0313177i 0.757079 0.653323i \(-0.226626\pi\)
−0.728881 + 0.684641i \(0.759959\pi\)
\(192\) 2.83746 12.4249i 0.204776 0.896688i
\(193\) −4.64632 8.04765i −0.334449 0.579283i 0.648930 0.760848i \(-0.275217\pi\)
−0.983379 + 0.181565i \(0.941884\pi\)
\(194\) 0.181731 1.72905i 0.0130475 0.124139i
\(195\) −3.13783 + 6.42517i −0.224705 + 0.460116i
\(196\) 2.07960 + 19.7861i 0.148543 + 1.41329i
\(197\) −3.47512 + 2.52482i −0.247592 + 0.179886i −0.704659 0.709546i \(-0.748900\pi\)
0.457067 + 0.889432i \(0.348900\pi\)
\(198\) 0.0131651 + 0.176241i 0.000935603 + 0.0125249i
\(199\) −3.20175 −0.226966 −0.113483 0.993540i \(-0.536201\pi\)
−0.113483 + 0.993540i \(0.536201\pi\)
\(200\) 2.08545 + 2.51467i 0.147464 + 0.177814i
\(201\) −14.9739 + 19.9696i −1.05618 + 1.40854i
\(202\) 1.92766 2.14088i 0.135630 0.150632i
\(203\) 24.5397 + 10.9258i 1.72235 + 0.766840i
\(204\) 0.205687 13.6393i 0.0144009 0.954942i
\(205\) 0.886660 + 10.4828i 0.0619270 + 0.732152i
\(206\) 1.59188 + 1.15657i 0.110912 + 0.0805820i
\(207\) −12.7588 3.11686i −0.886800 0.216637i
\(208\) −5.73325 4.16545i −0.397529 0.288822i
\(209\) −0.0177496 0.0197129i −0.00122776 0.00136357i
\(210\) −0.455829 2.59288i −0.0314552 0.178926i
\(211\) −4.85666 + 5.39387i −0.334347 + 0.371329i −0.886751 0.462246i \(-0.847044\pi\)
0.552405 + 0.833576i \(0.313710\pi\)
\(212\) −3.65396 + 0.776673i −0.250955 + 0.0533421i
\(213\) 23.1682 2.08239i 1.58746 0.142683i
\(214\) −1.36583 0.290317i −0.0933665 0.0198457i
\(215\) −5.52611 4.18927i −0.376877 0.285706i
\(216\) 2.11774 2.65362i 0.144094 0.180556i
\(217\) −18.1249 13.1685i −1.23040 0.893938i
\(218\) 0.663982 1.15005i 0.0449705 0.0778912i
\(219\) −5.18968 + 22.7250i −0.350686 + 1.53561i
\(220\) −1.08110 + 1.15265i −0.0728875 + 0.0777116i
\(221\) −6.73257 2.99753i −0.452882 0.201636i
\(222\) 1.91208 1.06582i 0.128330 0.0715334i
\(223\) 0.581978 + 0.123703i 0.0389721 + 0.00828378i 0.227357 0.973812i \(-0.426992\pi\)
−0.188384 + 0.982095i \(0.560325\pi\)
\(224\) 8.01038 0.535216
\(225\) −3.61395 14.5581i −0.240930 0.970543i
\(226\) −1.46249 −0.0972834
\(227\) 9.03312 + 1.92005i 0.599549 + 0.127438i 0.497682 0.867360i \(-0.334185\pi\)
0.101868 + 0.994798i \(0.467518\pi\)
\(228\) −0.00381575 + 0.253026i −0.000252704 + 0.0167571i
\(229\) 2.38530 + 1.06200i 0.157625 + 0.0701793i 0.484033 0.875050i \(-0.339172\pi\)
−0.326408 + 0.945229i \(0.605838\pi\)
\(230\) 0.776458 + 1.41035i 0.0511981 + 0.0929956i
\(231\) 2.45061 0.755592i 0.161238 0.0497143i
\(232\) 2.12316 3.67742i 0.139392 0.241435i
\(233\) 5.35177 + 3.88829i 0.350606 + 0.254730i 0.749123 0.662431i \(-0.230475\pi\)
−0.398517 + 0.917161i \(0.630475\pi\)
\(234\) −0.431446 0.802221i −0.0282045 0.0524428i
\(235\) 28.9180 + 0.588229i 1.88640 + 0.0383718i
\(236\) 9.54975 + 2.02986i 0.621636 + 0.132133i
\(237\) −4.36327 + 9.41535i −0.283425 + 0.611593i
\(238\) 2.65409 0.564144i 0.172039 0.0365680i
\(239\) 11.0538 12.2765i 0.715013 0.794102i −0.270677 0.962670i \(-0.587248\pi\)
0.985690 + 0.168568i \(0.0539143\pi\)
\(240\) 14.8306 1.02944i 0.957310 0.0664499i
\(241\) 5.03131 + 5.58784i 0.324095 + 0.359944i 0.883071 0.469240i \(-0.155472\pi\)
−0.558975 + 0.829184i \(0.688805\pi\)
\(242\) −1.44646 1.05092i −0.0929823 0.0675556i
\(243\) −14.0487 + 6.75520i −0.901228 + 0.433346i
\(244\) 14.5256 + 10.5534i 0.929903 + 0.675614i
\(245\) −20.7811 + 8.75040i −1.32766 + 0.559042i
\(246\) −1.15037 0.687502i −0.0733451 0.0438335i
\(247\) 0.124898 + 0.0556081i 0.00794706 + 0.00353826i
\(248\) −2.36975 + 2.63188i −0.150479 + 0.167124i
\(249\) −4.96285 0.597405i −0.314508 0.0378590i
\(250\) −1.01473 + 1.53333i −0.0641773 + 0.0969763i
\(251\) −19.2136 −1.21275 −0.606377 0.795177i \(-0.707378\pi\)
−0.606377 + 0.795177i \(0.707378\pi\)
\(252\) −22.0390 10.6199i −1.38833 0.668991i
\(253\) −1.26874 + 0.921796i −0.0797652 + 0.0579528i
\(254\) −0.0557813 0.530724i −0.00350003 0.0333006i
\(255\) 14.8633 4.25376i 0.930775 0.266381i
\(256\) −1.45085 + 13.8039i −0.0906779 + 0.862742i
\(257\) −9.44838 16.3651i −0.589374 1.02083i −0.994315 0.106483i \(-0.966041\pi\)
0.404941 0.914343i \(-0.367292\pi\)
\(258\) 0.844163 0.260280i 0.0525553 0.0162043i
\(259\) −21.2544 23.6055i −1.32069 1.46677i
\(260\) 2.67395 7.69353i 0.165831 0.477132i
\(261\) −16.1118 + 10.9792i −0.997294 + 0.679595i
\(262\) 0.437266 1.34577i 0.0270144 0.0831417i
\(263\) 10.8268 + 12.0244i 0.667611 + 0.741457i 0.977874 0.209194i \(-0.0670840\pi\)
−0.310264 + 0.950651i \(0.600417\pi\)
\(264\) −0.0782955 0.397752i −0.00481875 0.0244799i
\(265\) −2.04188 3.70885i −0.125432 0.227833i
\(266\) −0.0492367 + 0.0104656i −0.00301890 + 0.000641686i
\(267\) −2.76293 + 12.0985i −0.169089 + 0.740419i
\(268\) 14.2158 24.6225i 0.868368 1.50406i
\(269\) −1.72574 1.25382i −0.105220 0.0764469i 0.533931 0.845528i \(-0.320714\pi\)
−0.639151 + 0.769081i \(0.720714\pi\)
\(270\) 1.77470 + 0.708294i 0.108005 + 0.0431054i
\(271\) −13.1625 + 9.56310i −0.799563 + 0.580917i −0.910786 0.412879i \(-0.864523\pi\)
0.111223 + 0.993796i \(0.464523\pi\)
\(272\) 1.60160 + 15.2382i 0.0971114 + 0.923954i
\(273\) −9.95457 + 8.69495i −0.602478 + 0.526242i
\(274\) −0.471256 0.816239i −0.0284696 0.0493108i
\(275\) −1.60523 0.794424i −0.0967993 0.0479056i
\(276\) 14.8535 + 1.78800i 0.894078 + 0.107625i
\(277\) 8.33504 + 1.77167i 0.500804 + 0.106449i 0.451386 0.892329i \(-0.350930\pi\)
0.0494184 + 0.998778i \(0.484263\pi\)
\(278\) 2.20656 1.60316i 0.132341 0.0961511i
\(279\) 15.0478 6.16298i 0.900889 0.368968i
\(280\) 1.74888 + 5.77993i 0.104516 + 0.345417i
\(281\) −7.58966 + 3.37913i −0.452761 + 0.201582i −0.620431 0.784261i \(-0.713042\pi\)
0.167670 + 0.985843i \(0.446376\pi\)
\(282\) −2.21044 + 2.94789i −0.131630 + 0.175544i
\(283\) −0.547146 + 5.20574i −0.0325244 + 0.309449i 0.966150 + 0.257980i \(0.0830570\pi\)
−0.998675 + 0.0514690i \(0.983610\pi\)
\(284\) −25.9179 + 5.50902i −1.53794 + 0.326900i
\(285\) −0.275733 + 0.0789126i −0.0163330 + 0.00467438i
\(286\) −0.106386 0.0226130i −0.00629073 0.00133714i
\(287\) −6.00921 + 18.4944i −0.354712 + 1.09169i
\(288\) −3.05755 + 4.94519i −0.180168 + 0.291398i
\(289\) −0.329378 1.01372i −0.0193752 0.0596307i
\(290\) 2.32711 + 0.544333i 0.136653 + 0.0319643i
\(291\) 7.69894 16.6133i 0.451320 0.973888i
\(292\) 2.77545 26.4067i 0.162421 1.54533i
\(293\) −10.1972 17.6621i −0.595728 1.03183i −0.993444 0.114323i \(-0.963530\pi\)
0.397715 0.917509i \(-0.369803\pi\)
\(294\) 0.639500 2.80029i 0.0372964 0.163316i
\(295\) 0.932580 + 11.0257i 0.0542969 + 0.641943i
\(296\) −4.06228 + 2.95142i −0.236115 + 0.171548i
\(297\) −0.468929 + 1.80128i −0.0272100 + 0.104521i
\(298\) −0.356220 1.09633i −0.0206353 0.0635089i
\(299\) 4.04142 6.99994i 0.233721 0.404817i
\(300\) 6.06896 + 15.9721i 0.350392 + 0.922151i
\(301\) −6.40909 11.1009i −0.369414 0.639843i
\(302\) 0.518120 0.575430i 0.0298144 0.0331123i
\(303\) 26.5016 14.7725i 1.52248 0.848655i
\(304\) −0.0297118 0.282689i −0.00170409 0.0162133i
\(305\) −6.68047 + 19.2212i −0.382523 + 1.10060i
\(306\) −0.664787 + 1.85383i −0.0380034 + 0.105976i
\(307\) 8.63664 0.492919 0.246459 0.969153i \(-0.420733\pi\)
0.246459 + 0.969153i \(0.420733\pi\)
\(308\) −2.66858 + 1.18813i −0.152056 + 0.0676999i
\(309\) 11.9267 + 16.9473i 0.678486 + 0.964100i
\(310\) −1.80407 0.847596i −0.102464 0.0481402i
\(311\) −9.01162 + 10.0084i −0.511002 + 0.567525i −0.942337 0.334667i \(-0.891376\pi\)
0.431334 + 0.902192i \(0.358043\pi\)
\(312\) 1.20247 + 1.70866i 0.0680765 + 0.0967337i
\(313\) −4.88783 5.42848i −0.276276 0.306836i 0.588998 0.808134i \(-0.299523\pi\)
−0.865274 + 0.501299i \(0.832856\pi\)
\(314\) 0.865788 + 2.66462i 0.0488593 + 0.150373i
\(315\) 4.28641 27.3935i 0.241512 1.54345i
\(316\) 3.65275 11.2420i 0.205483 0.632413i
\(317\) −21.2233 + 9.44920i −1.19202 + 0.530720i −0.904259 0.426983i \(-0.859576\pi\)
−0.287757 + 0.957703i \(0.592910\pi\)
\(318\) 0.535467 + 0.0644571i 0.0300275 + 0.00361457i
\(319\) −0.243344 + 2.31526i −0.0136246 + 0.129630i
\(320\) −16.1601 + 3.09285i −0.903377 + 0.172895i
\(321\) −12.6236 7.54431i −0.704582 0.421082i
\(322\) 0.311070 + 2.95963i 0.0173353 + 0.164934i
\(323\) −0.0913448 0.281131i −0.00508256 0.0156425i
\(324\) 14.9684 9.55212i 0.831578 0.530674i
\(325\) 9.22354 + 0.375392i 0.511630 + 0.0208230i
\(326\) 0.0834143 0.144478i 0.00461989 0.00800189i
\(327\) 10.5336 9.20067i 0.582507 0.508798i
\(328\) 2.80827 + 1.25032i 0.155061 + 0.0690374i
\(329\) 48.8424 + 21.7460i 2.69277 + 1.19890i
\(330\) 0.201508 0.107011i 0.0110926 0.00589078i
\(331\) 24.5649 10.9370i 1.35021 0.601152i 0.401082 0.916042i \(-0.368634\pi\)
0.949128 + 0.314890i \(0.101968\pi\)
\(332\) 5.69392 0.312494
\(333\) 22.6856 4.11123i 1.24316 0.225294i
\(334\) −0.194788 + 0.599497i −0.0106583 + 0.0328030i
\(335\) 31.3763 + 7.33921i 1.71427 + 0.400984i
\(336\) 26.0036 + 8.88478i 1.41862 + 0.484704i
\(337\) −8.43475 + 1.79286i −0.459470 + 0.0976634i −0.431831 0.901955i \(-0.642132\pi\)
−0.0276393 + 0.999618i \(0.508799\pi\)
\(338\) −1.54291 + 0.327956i −0.0839232 + 0.0178384i
\(339\) −14.5755 4.98008i −0.791633 0.270481i
\(340\) −16.2301 + 6.83408i −0.880202 + 0.370630i
\(341\) 0.599994 1.84659i 0.0324915 0.0999986i
\(342\) 0.0123327 0.0343909i 0.000666874 0.00185965i
\(343\) −12.7466 −0.688251
\(344\) −1.85110 + 0.824163i −0.0998046 + 0.0444359i
\(345\) 2.93583 + 16.6999i 0.158060 + 0.899090i
\(346\) −3.33267 1.48380i −0.179165 0.0797696i
\(347\) 32.0841 + 14.2848i 1.72236 + 0.766846i 0.996908 + 0.0785773i \(0.0250377\pi\)
0.725456 + 0.688269i \(0.241629\pi\)
\(348\) 16.7265 14.6100i 0.896635 0.783177i
\(349\) 10.5156 18.2135i 0.562886 0.974946i −0.434357 0.900741i \(-0.643025\pi\)
0.997243 0.0742057i \(-0.0236421\pi\)
\(350\) −2.82860 + 1.88426i −0.151195 + 0.100718i
\(351\) −1.56817 9.46428i −0.0837027 0.505166i
\(352\) 0.214527 + 0.660245i 0.0114343 + 0.0351912i
\(353\) −2.05945 19.5943i −0.109613 1.04290i −0.901662 0.432443i \(-0.857652\pi\)
0.792048 0.610459i \(-0.209015\pi\)
\(354\) −1.20995 0.723108i −0.0643082 0.0384328i
\(355\) −14.4833 26.3072i −0.768691 1.39624i
\(356\) 1.47762 14.0586i 0.0783138 0.745106i
\(357\) 28.3723 + 3.41533i 1.50162 + 0.180758i
\(358\) 2.19924 0.979164i 0.116233 0.0517504i
\(359\) −0.938606 + 2.88873i −0.0495377 + 0.152461i −0.972765 0.231792i \(-0.925541\pi\)
0.923228 + 0.384253i \(0.125541\pi\)
\(360\) −4.23578 1.12652i −0.223245 0.0593728i
\(361\) −5.86963 18.0649i −0.308928 0.950782i
\(362\) −1.89533 2.10498i −0.0996163 0.110635i
\(363\) −10.8372 15.3992i −0.568806 0.808249i
\(364\) 10.0741 11.1885i 0.528029 0.586435i
\(365\) 29.5567 5.65678i 1.54707 0.296090i
\(366\) −1.49187 2.11989i −0.0779815 0.110808i
\(367\) −6.63569 + 2.95440i −0.346380 + 0.154218i −0.572551 0.819869i \(-0.694046\pi\)
0.226170 + 0.974088i \(0.427379\pi\)
\(368\) −16.8048 −0.876010
\(369\) −9.12380 10.7691i −0.474966 0.560615i
\(370\) −2.25209 1.70728i −0.117080 0.0887572i
\(371\) −0.818032 7.78306i −0.0424701 0.404076i
\(372\) −16.1789 + 9.01838i −0.838836 + 0.467581i
\(373\) 7.06598 7.84757i 0.365863 0.406332i −0.531903 0.846805i \(-0.678523\pi\)
0.897765 + 0.440474i \(0.145190\pi\)
\(374\) 0.117578 + 0.203651i 0.00607983 + 0.0105306i
\(375\) −15.3344 + 11.8261i −0.791862 + 0.610699i
\(376\) 4.22581 7.31932i 0.217930 0.377465i
\(377\) −3.70779 11.4114i −0.190961 0.587718i
\(378\) 2.51527 + 2.47970i 0.129372 + 0.127542i
\(379\) −28.5159 + 20.7180i −1.46476 + 1.06421i −0.482673 + 0.875801i \(0.660334\pi\)
−0.982090 + 0.188412i \(0.939666\pi\)
\(380\) 0.301089 0.126781i 0.0154456 0.00650372i
\(381\) 1.25129 5.47927i 0.0641058 0.280711i
\(382\) 0.0478913 + 0.0829501i 0.00245033 + 0.00424410i
\(383\) 0.652307 6.20628i 0.0333313 0.317126i −0.965134 0.261754i \(-0.915699\pi\)
0.998466 0.0553718i \(-0.0176344\pi\)
\(384\) 3.70408 7.99292i 0.189023 0.407887i
\(385\) −2.16479 2.50486i −0.110328 0.127660i
\(386\) −0.472253 1.45344i −0.0240370 0.0739784i
\(387\) 9.29943 + 0.280543i 0.472717 + 0.0142608i
\(388\) −6.44524 + 19.8364i −0.327208 + 1.00704i
\(389\) −27.8772 5.92548i −1.41343 0.300434i −0.562972 0.826476i \(-0.690342\pi\)
−0.850459 + 0.526042i \(0.823676\pi\)
\(390\) −0.724456 + 0.926285i −0.0366843 + 0.0469043i
\(391\) −17.0940 + 3.63345i −0.864483 + 0.183752i
\(392\) −0.688700 + 6.55254i −0.0347846 + 0.330953i
\(393\) 8.94050 11.9232i 0.450989 0.601448i
\(394\) −0.645351 + 0.287329i −0.0325123 + 0.0144754i
\(395\) 13.3942 + 0.272455i 0.673934 + 0.0137087i
\(396\) 0.285103 2.10095i 0.0143270 0.105577i
\(397\) −4.87063 + 3.53872i −0.244450 + 0.177603i −0.703263 0.710929i \(-0.748275\pi\)
0.458814 + 0.888533i \(0.348275\pi\)
\(398\) −0.515045 0.109476i −0.0258169 0.00548755i
\(399\) −0.526342 0.0633587i −0.0263501 0.00317190i
\(400\) −8.91229 16.9975i −0.445615 0.849874i
\(401\) 13.2682 + 22.9812i 0.662583 + 1.14763i 0.979934 + 0.199320i \(0.0638733\pi\)
−0.317351 + 0.948308i \(0.602793\pi\)
\(402\) −3.09157 + 2.70038i −0.154194 + 0.134683i
\(403\) 1.04604 + 9.95237i 0.0521068 + 0.495763i
\(404\) −27.9602 + 20.3143i −1.39107 + 1.01067i
\(405\) 15.2752 + 13.1022i 0.759030 + 0.651056i
\(406\) 3.57397 + 2.59664i 0.177373 + 0.128869i
\(407\) 1.37643 2.38405i 0.0682272 0.118173i
\(408\) 1.00575 4.40405i 0.0497920 0.218033i
\(409\) 26.7098 5.67735i 1.32072 0.280727i 0.506978 0.861959i \(-0.330762\pi\)
0.813738 + 0.581232i \(0.197429\pi\)
\(410\) −0.215804 + 1.71662i −0.0106578 + 0.0847779i
\(411\) −1.91718 9.73954i −0.0945676 0.480416i
\(412\) −15.7953 17.5424i −0.778178 0.864254i
\(413\) −6.32043 + 19.4523i −0.311008 + 0.957184i
\(414\) −1.94586 0.937648i −0.0956337 0.0460829i
\(415\) 1.86894 + 6.17670i 0.0917425 + 0.303202i
\(416\) −2.39418 2.65901i −0.117384 0.130369i
\(417\) 27.4502 8.46366i 1.34424 0.414467i
\(418\) −0.00218123 0.00377800i −0.000106687 0.000184788i
\(419\) 1.23627 11.7624i 0.0603960 0.574629i −0.921918 0.387386i \(-0.873378\pi\)
0.982314 0.187243i \(-0.0599553\pi\)
\(420\) −1.11837 + 31.5634i −0.0545710 + 1.54014i
\(421\) −0.191178 1.81894i −0.00931746 0.0886497i 0.988875 0.148749i \(-0.0475248\pi\)
−0.998192 + 0.0600998i \(0.980858\pi\)
\(422\) −0.965691 + 0.701616i −0.0470091 + 0.0341541i
\(423\) −32.0679 + 21.8523i −1.55919 + 1.06250i
\(424\) −1.23711 −0.0600795
\(425\) −12.7408 15.3631i −0.618020 0.745219i
\(426\) 3.79812 + 0.457200i 0.184019 + 0.0221514i
\(427\) −25.1688 + 27.9528i −1.21800 + 1.35273i
\(428\) 15.3034 + 6.81350i 0.739716 + 0.329343i
\(429\) −0.983265 0.587633i −0.0474725 0.0283712i
\(430\) −0.745707 0.862853i −0.0359612 0.0416105i
\(431\) 28.5016 + 20.7076i 1.37288 + 0.997452i 0.997506 + 0.0705766i \(0.0224839\pi\)
0.375369 + 0.926876i \(0.377516\pi\)
\(432\) −15.4105 + 12.6620i −0.741440 + 0.609200i
\(433\) 3.17805 + 2.30899i 0.152727 + 0.110963i 0.661525 0.749923i \(-0.269910\pi\)
−0.508797 + 0.860886i \(0.669910\pi\)
\(434\) −2.46537 2.73808i −0.118342 0.131432i
\(435\) 21.3390 + 13.3492i 1.02313 + 0.640047i
\(436\) −10.6601 + 11.8392i −0.510525 + 0.566996i
\(437\) 0.317116 0.0674052i 0.0151697 0.00322443i
\(438\) −1.61186 + 3.47817i −0.0770175 + 0.166194i
\(439\) −18.8943 4.01611i −0.901777 0.191679i −0.266384 0.963867i \(-0.585829\pi\)
−0.635394 + 0.772188i \(0.719162\pi\)
\(440\) −0.429567 + 0.298943i −0.0204788 + 0.0142515i
\(441\) 15.9090 25.7307i 0.757570 1.22527i
\(442\) −0.980532 0.712398i −0.0466392 0.0338853i
\(443\) −2.24077 + 3.88113i −0.106462 + 0.184398i −0.914335 0.404959i \(-0.867286\pi\)
0.807872 + 0.589357i \(0.200619\pi\)
\(444\) −25.0959 + 7.73778i −1.19100 + 0.367219i
\(445\) 15.7357 3.01161i 0.745942 0.142764i
\(446\) 0.0893894 + 0.0397987i 0.00423271 + 0.00188452i
\(447\) 0.183066 12.1393i 0.00865874 0.574170i
\(448\) −29.7487 6.32329i −1.40550 0.298747i
\(449\) −11.2399 −0.530445 −0.265222 0.964187i \(-0.585445\pi\)
−0.265222 + 0.964187i \(0.585445\pi\)
\(450\) −0.0835716 2.46545i −0.00393961 0.116222i
\(451\) −1.68531 −0.0793583
\(452\) 17.1617 + 3.64784i 0.807219 + 0.171580i
\(453\) 7.12316 3.97057i 0.334675 0.186554i
\(454\) 1.38745 + 0.617732i 0.0651162 + 0.0289916i
\(455\) 15.4438 + 7.25589i 0.724017 + 0.340161i
\(456\) −0.0186579 + 0.0817007i −0.000873737 + 0.00382599i
\(457\) 7.48417 12.9630i 0.350095 0.606381i −0.636171 0.771548i \(-0.719483\pi\)
0.986266 + 0.165166i \(0.0528161\pi\)
\(458\) 0.347396 + 0.252398i 0.0162327 + 0.0117938i
\(459\) −12.9381 + 16.2119i −0.603898 + 0.756708i
\(460\) −5.59363 18.4866i −0.260805 0.861940i
\(461\) −29.4933 6.26900i −1.37364 0.291976i −0.538784 0.842444i \(-0.681116\pi\)
−0.834856 + 0.550468i \(0.814449\pi\)
\(462\) 0.420049 0.0377546i 0.0195424 0.00175650i
\(463\) 27.0421 5.74797i 1.25675 0.267131i 0.469041 0.883176i \(-0.344599\pi\)
0.787711 + 0.616045i \(0.211266\pi\)
\(464\) −16.6922 + 18.5386i −0.774915 + 0.860631i
\(465\) −15.0935 14.5906i −0.699945 0.676621i
\(466\) 0.727954 + 0.808474i 0.0337218 + 0.0374519i
\(467\) −23.9054 17.3683i −1.10621 0.803709i −0.124147 0.992264i \(-0.539620\pi\)
−0.982063 + 0.188555i \(0.939620\pi\)
\(468\) 3.06190 + 10.4899i 0.141536 + 0.484894i
\(469\) 48.1876 + 35.0103i 2.22510 + 1.61663i
\(470\) 4.63174 + 1.08341i 0.213646 + 0.0499738i
\(471\) −0.444940 + 29.5044i −0.0205018 + 1.35949i
\(472\) 2.95371 + 1.31508i 0.135955 + 0.0605313i
\(473\) 0.743333 0.825554i 0.0341785 0.0379590i
\(474\) −1.02383 + 1.36540i −0.0470259 + 0.0627147i
\(475\) 0.236358 + 0.285005i 0.0108449 + 0.0130769i
\(476\) −32.5517 −1.49201
\(477\) 5.11709 + 2.46577i 0.234296 + 0.112900i
\(478\) 2.19793 1.59689i 0.100531 0.0730399i
\(479\) 1.40083 + 13.3280i 0.0640056 + 0.608973i 0.978767 + 0.204977i \(0.0657121\pi\)
−0.914761 + 0.403995i \(0.867621\pi\)
\(480\) 7.43236 + 1.04842i 0.339239 + 0.0478538i
\(481\) −1.48309 + 14.1106i −0.0676230 + 0.643390i
\(482\) 0.618292 + 1.07091i 0.0281624 + 0.0487788i
\(483\) −6.97796 + 30.5556i −0.317508 + 1.39033i
\(484\) 14.3524 + 15.9400i 0.652382 + 0.724544i
\(485\) −23.6339 0.480743i −1.07316 0.0218294i
\(486\) −2.49091 + 0.606302i −0.112990 + 0.0275024i
\(487\) 0.825534 2.54073i 0.0374085 0.115132i −0.930608 0.366016i \(-0.880721\pi\)
0.968017 + 0.250885i \(0.0807215\pi\)
\(488\) 3.97865 + 4.41874i 0.180105 + 0.200027i
\(489\) 1.32330 1.15586i 0.0598418 0.0522697i
\(490\) −3.64213 + 0.697059i −0.164535 + 0.0314899i
\(491\) 17.5164 3.72322i 0.790503 0.168027i 0.205070 0.978747i \(-0.434258\pi\)
0.585433 + 0.810721i \(0.300925\pi\)
\(492\) 11.7843 + 10.9369i 0.531279 + 0.493073i
\(493\) −12.9712 + 22.4668i −0.584193 + 1.01185i
\(494\) 0.0181901 + 0.0132159i 0.000818413 + 0.000594612i
\(495\) 2.37267 0.380326i 0.106643 0.0170944i
\(496\) 16.8321 12.2293i 0.755785 0.549110i
\(497\) −5.80238 55.2060i −0.260272 2.47633i
\(498\) −0.777914 0.265793i −0.0348592 0.0119105i
\(499\) −10.2734 17.7940i −0.459899 0.796568i 0.539057 0.842270i \(-0.318781\pi\)
−0.998955 + 0.0457019i \(0.985448\pi\)
\(500\) 15.7320 15.4620i 0.703556 0.691481i
\(501\) −3.98272 + 5.31143i −0.177935 + 0.237297i
\(502\) −3.09077 0.656964i −0.137948 0.0293218i
\(503\) −32.2593 + 23.4377i −1.43837 + 1.04504i −0.449990 + 0.893034i \(0.648572\pi\)
−0.988380 + 0.152003i \(0.951428\pi\)
\(504\) −6.40792 4.95760i −0.285431 0.220829i
\(505\) −31.2142 23.6631i −1.38901 1.05299i
\(506\) −0.235613 + 0.104902i −0.0104743 + 0.00466345i
\(507\) −16.4938 1.98544i −0.732513 0.0881766i
\(508\) −0.669195 + 6.36696i −0.0296907 + 0.282488i
\(509\) −19.4228 + 4.12845i −0.860902 + 0.182990i −0.617148 0.786847i \(-0.711712\pi\)
−0.243754 + 0.969837i \(0.578379\pi\)
\(510\) 2.53641 0.176060i 0.112314 0.00779607i
\(511\) 54.4102 + 11.5652i 2.40696 + 0.511616i
\(512\) −3.84880 + 11.8454i −0.170094 + 0.523497i
\(513\) 0.240018 0.300752i 0.0105971 0.0132785i
\(514\) −0.960336 2.95561i −0.0423586 0.130366i
\(515\) 13.8453 22.8926i 0.610097 1.00877i
\(516\) −10.5551 + 0.948708i −0.464663 + 0.0417645i
\(517\) −0.484337 + 4.60815i −0.0213011 + 0.202666i
\(518\) −2.61193 4.52400i −0.114762 0.198773i
\(519\) −28.1615 26.1363i −1.23615 1.14726i
\(520\) 1.39591 2.30807i 0.0612146 0.101216i
\(521\) 8.76012 6.36460i 0.383788 0.278838i −0.379117 0.925349i \(-0.623772\pi\)
0.762905 + 0.646510i \(0.223772\pi\)
\(522\) −2.96721 + 1.21525i −0.129871 + 0.0531900i
\(523\) 4.62026 + 14.2197i 0.202030 + 0.621785i 0.999822 + 0.0188521i \(0.00600116\pi\)
−0.797792 + 0.602932i \(0.793999\pi\)
\(524\) −8.48783 + 14.7014i −0.370793 + 0.642232i
\(525\) −34.6067 + 9.14698i −1.51036 + 0.399207i
\(526\) 1.33050 + 2.30449i 0.0580124 + 0.100480i
\(527\) 14.4777 16.0791i 0.630659 0.700418i
\(528\) −0.0359105 + 2.38126i −0.00156280 + 0.103631i
\(529\) 0.400662 + 3.81205i 0.0174201 + 0.165741i
\(530\) −0.201649 0.666436i −0.00875908 0.0289481i
\(531\) −9.59632 11.3268i −0.416445 0.491541i
\(532\) 0.603877 0.0261814
\(533\) 7.93521 3.53298i 0.343712 0.153030i
\(534\) −0.858136 + 1.85174i −0.0371352 + 0.0801328i
\(535\) −2.36813 + 18.8374i −0.102383 + 0.814410i
\(536\) 6.30031 6.99721i 0.272132 0.302233i
\(537\) 25.2524 2.26972i 1.08972 0.0979454i
\(538\) −0.234737 0.260702i −0.0101202 0.0112397i
\(539\) −1.11622 3.43538i −0.0480791 0.147972i
\(540\) −19.0587 12.7381i −0.820156 0.548161i
\(541\) 11.4490 35.2363i 0.492230 1.51493i −0.329000 0.944330i \(-0.606712\pi\)
0.821230 0.570597i \(-0.193288\pi\)
\(542\) −2.44435 + 1.08829i −0.104994 + 0.0467463i
\(543\) −11.7214 27.4327i −0.503014 1.17725i
\(544\) −0.808645 + 7.69374i −0.0346704 + 0.329867i
\(545\) −16.3421 7.67791i −0.700017 0.328885i
\(546\) −1.89863 + 1.05833i −0.0812539 + 0.0452923i
\(547\) 2.23082 + 21.2248i 0.0953828 + 0.907507i 0.932667 + 0.360739i \(0.117475\pi\)
−0.837284 + 0.546768i \(0.815858\pi\)
\(548\) 3.49408 + 10.7537i 0.149260 + 0.459374i
\(549\) −7.64971 26.2074i −0.326482 1.11851i
\(550\) −0.231060 0.182681i −0.00985245 0.00778955i
\(551\) 0.240632 0.416787i 0.0102513 0.0177557i
\(552\) 4.68843 + 1.60192i 0.199553 + 0.0681821i
\(553\) 22.6227 + 10.0723i 0.962015 + 0.428317i
\(554\) 1.28023 + 0.569994i 0.0543916 + 0.0242167i
\(555\) −16.6312 24.6840i −0.705955 1.04778i
\(556\) −29.8918 + 13.3087i −1.26769 + 0.564413i
\(557\) 38.6947 1.63955 0.819773 0.572689i \(-0.194100\pi\)
0.819773 + 0.572689i \(0.194100\pi\)
\(558\) 2.63137 0.476875i 0.111395 0.0201877i
\(559\) −1.76930 + 5.44535i −0.0748335 + 0.230314i
\(560\) −2.98996 35.3498i −0.126349 1.49380i
\(561\) 0.478337 + 2.43002i 0.0201954 + 0.102595i
\(562\) −1.33644 + 0.284069i −0.0563744 + 0.0119827i
\(563\) −13.3515 + 2.83794i −0.562697 + 0.119605i −0.480474 0.877009i \(-0.659535\pi\)
−0.0822233 + 0.996614i \(0.526202\pi\)
\(564\) 33.2914 29.0788i 1.40182 1.22444i
\(565\) 1.67593 + 19.8142i 0.0705068 + 0.833590i
\(566\) −0.266014 + 0.818707i −0.0111814 + 0.0344128i
\(567\) 16.6239 + 33.2783i 0.698138 + 1.39756i
\(568\) −8.77496 −0.368189
\(569\) 21.2151 9.44557i 0.889383 0.395979i 0.0893962 0.995996i \(-0.471506\pi\)
0.799987 + 0.600017i \(0.204840\pi\)
\(570\) −0.0470536 + 0.00326614i −0.00197086 + 0.000136804i
\(571\) 23.2475 + 10.3505i 0.972879 + 0.433154i 0.830720 0.556690i \(-0.187929\pi\)
0.142159 + 0.989844i \(0.454596\pi\)
\(572\) 1.19199 + 0.530709i 0.0498397 + 0.0221901i
\(573\) 0.194833 + 0.989780i 0.00813928 + 0.0413486i
\(574\) −1.59904 + 2.76961i −0.0667425 + 0.115601i
\(575\) 18.2180 12.1358i 0.759743 0.506099i
\(576\) 15.2587 15.9517i 0.635780 0.664656i
\(577\) 9.47834 + 29.1713i 0.394588 + 1.21442i 0.929282 + 0.369372i \(0.120427\pi\)
−0.534693 + 0.845046i \(0.679573\pi\)
\(578\) −0.0183232 0.174333i −0.000762143 0.00725131i
\(579\) 0.242697 16.0935i 0.0100861 0.668822i
\(580\) −25.9500 12.1920i −1.07751 0.506243i
\(581\) −1.24687 + 11.8632i −0.0517290 + 0.492169i
\(582\) 1.80653 2.40923i 0.0748831 0.0998656i
\(583\) 0.619601 0.275864i 0.0256612 0.0114251i
\(584\) 2.71726 8.36287i 0.112441 0.346058i
\(585\) −10.3743 + 6.76465i −0.428924 + 0.279684i
\(586\) −1.03645 3.18986i −0.0428153 0.131772i
\(587\) −9.90751 11.0034i −0.408927 0.454159i 0.503138 0.864206i \(-0.332179\pi\)
−0.912064 + 0.410047i \(0.865512\pi\)
\(588\) −14.4889 + 31.2652i −0.597514 + 1.28935i
\(589\) −0.268580 + 0.298288i −0.0110666 + 0.0122908i
\(590\) −0.226981 + 1.80553i −0.00934464 + 0.0743324i
\(591\) −7.41013 + 0.666032i −0.304812 + 0.0273969i
\(592\) 26.9483 11.9982i 1.10757 0.493122i
\(593\) 29.3262 1.20428 0.602140 0.798390i \(-0.294315\pi\)
0.602140 + 0.798390i \(0.294315\pi\)
\(594\) −0.137024 + 0.273727i −0.00562217 + 0.0112312i
\(595\) −10.6846 35.3118i −0.438026 1.44764i
\(596\) 1.44555 + 13.7535i 0.0592122 + 0.563366i
\(597\) −4.76027 2.84490i −0.194825 0.116434i
\(598\) 0.889463 0.987849i 0.0363728 0.0403961i
\(599\) 2.03948 + 3.53249i 0.0833310 + 0.144334i 0.904679 0.426094i \(-0.140111\pi\)
−0.821348 + 0.570428i \(0.806777\pi\)
\(600\) 0.866190 + 5.59176i 0.0353621 + 0.228283i
\(601\) −8.15219 + 14.1200i −0.332535 + 0.575967i −0.983008 0.183562i \(-0.941237\pi\)
0.650474 + 0.759529i \(0.274570\pi\)
\(602\) −0.651421 2.00487i −0.0265500 0.0817124i
\(603\) −40.0067 + 16.3851i −1.62920 + 0.667254i
\(604\) −7.51520 + 5.46011i −0.305789 + 0.222169i
\(605\) −12.5806 + 20.8014i −0.511472 + 0.845696i
\(606\) 4.76826 1.47019i 0.193697 0.0597224i
\(607\) 9.93751 + 17.2123i 0.403351 + 0.698625i 0.994128 0.108210i \(-0.0345120\pi\)
−0.590777 + 0.806835i \(0.701179\pi\)
\(608\) 0.0150014 0.142729i 0.000608387 0.00578842i
\(609\) 26.7769 + 38.0488i 1.08505 + 1.54182i
\(610\) −1.73187 + 2.86356i −0.0701212 + 0.115942i
\(611\) −7.37976 22.7126i −0.298553 0.918852i
\(612\) 12.4249 20.0958i 0.502248 0.812323i
\(613\) 1.01670 3.12907i 0.0410639 0.126382i −0.928423 0.371525i \(-0.878835\pi\)
0.969487 + 0.245143i \(0.0788350\pi\)
\(614\) 1.38932 + 0.295309i 0.0560684 + 0.0119177i
\(615\) −7.99620 + 16.3734i −0.322438 + 0.660239i
\(616\) −0.946247 + 0.201131i −0.0381254 + 0.00810380i
\(617\) −4.59814 + 43.7484i −0.185114 + 1.76124i 0.369589 + 0.929195i \(0.379499\pi\)
−0.554703 + 0.832048i \(0.687168\pi\)
\(618\) 1.33910 + 3.13401i 0.0538665 + 0.126068i
\(619\) −10.3474 + 4.60696i −0.415897 + 0.185169i −0.604008 0.796978i \(-0.706430\pi\)
0.188110 + 0.982148i \(0.439764\pi\)
\(620\) 19.0559 + 14.4460i 0.765302 + 0.580166i
\(621\) −16.2000 15.9709i −0.650083 0.640888i
\(622\) −1.79186 + 1.30186i −0.0718469 + 0.0521998i
\(623\) 28.9674 + 6.15721i 1.16055 + 0.246684i
\(624\) −4.82284 11.2873i −0.193068 0.451855i
\(625\) 21.9368 + 11.9907i 0.877471 + 0.479630i
\(626\) −0.600659 1.04037i −0.0240072 0.0415817i
\(627\) −0.00887376 0.0450799i −0.000354384 0.00180032i
\(628\) −3.51340 33.4278i −0.140200 1.33391i
\(629\) 24.8180 18.0313i 0.989559 0.718956i
\(630\) 1.62618 4.26005i 0.0647886 0.169724i
\(631\) 19.7944 + 14.3815i 0.788005 + 0.572519i 0.907371 0.420331i \(-0.138086\pi\)
−0.119366 + 0.992850i \(0.538086\pi\)
\(632\) 1.95730 3.39015i 0.0778573 0.134853i
\(633\) −12.0134 + 3.70409i −0.477492 + 0.147224i
\(634\) −3.73714 + 0.794354i −0.148421 + 0.0315478i
\(635\) −7.12647 + 1.36392i −0.282805 + 0.0541255i
\(636\) −6.12271 2.09197i −0.242781 0.0829521i
\(637\) 12.4574 + 13.8353i 0.493579 + 0.548175i
\(638\) −0.118310 + 0.364121i −0.00468394 + 0.0144157i
\(639\) 36.2960 + 17.4899i 1.43585 + 0.691891i
\(640\) −11.3706 0.231293i −0.449464 0.00914267i
\(641\) 19.5816 + 21.7476i 0.773426 + 0.858977i 0.993182 0.116578i \(-0.0371925\pi\)
−0.219755 + 0.975555i \(0.570526\pi\)
\(642\) −1.77272 1.64524i −0.0699638 0.0649324i
\(643\) −3.57430 6.19087i −0.140957 0.244144i 0.786900 0.617080i \(-0.211685\pi\)
−0.927857 + 0.372936i \(0.878351\pi\)
\(644\) 3.73183 35.5060i 0.147055 1.39913i
\(645\) −4.49370 11.1387i −0.176939 0.438585i
\(646\) −0.00508147 0.0483470i −0.000199928 0.00190219i
\(647\) 25.5288 18.5478i 1.00364 0.729188i 0.0407758 0.999168i \(-0.487017\pi\)
0.962866 + 0.269980i \(0.0870171\pi\)
\(648\) 5.50645 2.06361i 0.216314 0.0810662i
\(649\) −1.77260 −0.0695805
\(650\) 1.47090 + 0.375764i 0.0576933 + 0.0147387i
\(651\) −15.2468 35.6834i −0.597568 1.39854i
\(652\) −1.33920 + 1.48733i −0.0524471 + 0.0582484i
\(653\) −2.13507 0.950593i −0.0835516 0.0371996i 0.364535 0.931190i \(-0.381228\pi\)
−0.448087 + 0.893990i \(0.647895\pi\)
\(654\) 2.00906 1.11988i 0.0785605 0.0437909i
\(655\) −18.7339 4.38203i −0.731993 0.171220i
\(656\) −14.6102 10.6149i −0.570431 0.414443i
\(657\) −27.9080 + 29.1756i −1.08880 + 1.13825i
\(658\) 7.11341 + 5.16819i 0.277309 + 0.201477i
\(659\) −28.6007 31.7643i −1.11413 1.23736i −0.968764 0.247984i \(-0.920232\pi\)
−0.145362 0.989379i \(-0.546435\pi\)
\(660\) −2.63152 + 0.753122i −0.102432 + 0.0293152i
\(661\) 3.82599 4.24920i 0.148814 0.165275i −0.664129 0.747618i \(-0.731197\pi\)
0.812943 + 0.582343i \(0.197864\pi\)
\(662\) 4.32557 0.919428i 0.168118 0.0357346i
\(663\) −7.34635 10.4388i −0.285309 0.405411i
\(664\) 1.84444 + 0.392049i 0.0715783 + 0.0152144i
\(665\) 0.198213 + 0.655079i 0.00768637 + 0.0254029i
\(666\) 3.78985 + 0.114331i 0.146854 + 0.00443025i
\(667\) −23.0187 16.7240i −0.891287 0.647558i
\(668\) 3.78106 6.54900i 0.146294 0.253388i
\(669\) 0.755352 + 0.701032i 0.0292036 + 0.0271035i
\(670\) 4.79636 + 2.25345i 0.185300 + 0.0870584i
\(671\) −2.97802 1.32590i −0.114965 0.0511858i
\(672\) 11.9096 + 7.11758i 0.459423 + 0.274567i
\(673\) 1.93341 + 0.410959i 0.0745275 + 0.0158413i 0.245025 0.969517i \(-0.421204\pi\)
−0.170497 + 0.985358i \(0.554537\pi\)
\(674\) −1.41815 −0.0546250
\(675\) 7.56245 24.8558i 0.291079 0.956699i
\(676\) 18.9234 0.727824
\(677\) 10.1510 + 2.15766i 0.390134 + 0.0829254i 0.398802 0.917037i \(-0.369426\pi\)
−0.00866862 + 0.999962i \(0.502759\pi\)
\(678\) −2.17439 1.29949i −0.0835068 0.0499065i
\(679\) −39.9175 17.7724i −1.53189 0.682043i
\(680\) −5.72801 + 1.09627i −0.219659 + 0.0420401i
\(681\) 11.7241 + 10.8810i 0.449270 + 0.416961i
\(682\) 0.159657 0.276534i 0.00611358 0.0105890i
\(683\) 19.2932 + 14.0174i 0.738235 + 0.536359i 0.892158 0.451724i \(-0.149191\pi\)
−0.153923 + 0.988083i \(0.549191\pi\)
\(684\) −0.230499 + 0.372802i −0.00881333 + 0.0142544i
\(685\) −10.5186 + 7.32006i −0.401894 + 0.279685i
\(686\) −2.05046 0.435839i −0.0782870 0.0166404i
\(687\) 2.60276 + 3.69841i 0.0993014 + 0.141103i
\(688\) 11.6438 2.47496i 0.443914 0.0943569i
\(689\) −2.33905 + 2.59778i −0.0891108 + 0.0989676i
\(690\) −0.0987429 + 2.78678i −0.00375908 + 0.106091i
\(691\) −0.688270 0.764401i −0.0261830 0.0290792i 0.729911 0.683542i \(-0.239561\pi\)
−0.756094 + 0.654463i \(0.772895\pi\)
\(692\) 35.4065 + 25.7243i 1.34595 + 0.977893i
\(693\) 4.31487 + 1.05408i 0.163908 + 0.0400413i
\(694\) 4.67273 + 3.39494i 0.177374 + 0.128870i
\(695\) −24.2486 28.0579i −0.919802 1.06430i
\(696\) 6.42421 3.58096i 0.243509 0.135736i
\(697\) −17.1568 7.63868i −0.649859 0.289336i
\(698\) 2.31434 2.57033i 0.0875990 0.0972886i
\(699\) 4.50193 + 10.5363i 0.170279 + 0.398518i
\(700\) 37.8923 15.0557i 1.43219 0.569052i
\(701\) 14.7743 0.558019 0.279009 0.960288i \(-0.409994\pi\)
0.279009 + 0.960288i \(0.409994\pi\)
\(702\) 0.0713471 1.57608i 0.00269282 0.0594852i
\(703\) −0.460406 + 0.334504i −0.0173645 + 0.0126161i
\(704\) −0.275515 2.62135i −0.0103839 0.0987958i
\(705\) 42.4718 + 26.5695i 1.59958 + 1.00067i
\(706\) 0.338691 3.22243i 0.0127468 0.121278i
\(707\) −36.2017 62.7032i −1.36151 2.35820i
\(708\) 12.3947 + 11.5033i 0.465820 + 0.432321i
\(709\) −7.87589 8.74706i −0.295785 0.328503i 0.576873 0.816834i \(-0.304273\pi\)
−0.872659 + 0.488331i \(0.837606\pi\)
\(710\) −1.43032 4.72709i −0.0536788 0.177405i
\(711\) −14.8531 + 10.1215i −0.557036 + 0.379586i
\(712\) 1.44664 4.45231i 0.0542152 0.166857i
\(713\) 15.8786 + 17.6350i 0.594659 + 0.660435i
\(714\) 4.44729 + 1.51952i 0.166436 + 0.0568668i
\(715\) −0.184455 + 1.46726i −0.00689824 + 0.0548723i
\(716\) −28.2494 + 6.00460i −1.05573 + 0.224403i
\(717\) 27.3428 8.43055i 1.02113 0.314845i
\(718\) −0.249761 + 0.432599i −0.00932099 + 0.0161444i
\(719\) −37.9326 27.5596i −1.41465 1.02780i −0.992626 0.121213i \(-0.961321\pi\)
−0.422019 0.906587i \(-0.638679\pi\)
\(720\) 22.9644 + 11.6471i 0.855832 + 0.434062i
\(721\) 40.0084 29.0678i 1.48999 1.08254i
\(722\) −0.326525 3.10668i −0.0121520 0.115619i
\(723\) 2.51536 + 12.7784i 0.0935473 + 0.475233i
\(724\) 16.9905 + 29.4285i 0.631449 + 1.09370i
\(725\) 4.70803 32.1521i 0.174852 1.19410i
\(726\) −1.21677 2.84772i −0.0451587 0.105689i
\(727\) 30.7754 + 6.54152i 1.14140 + 0.242611i 0.739554 0.673097i \(-0.235036\pi\)
0.401843 + 0.915709i \(0.368370\pi\)
\(728\) 4.03371 2.93066i 0.149499 0.108618i
\(729\) −26.8896 2.43952i −0.995910 0.0903524i
\(730\) 4.94801 + 0.100649i 0.183134 + 0.00372518i
\(731\) 11.3091 5.03512i 0.418281 0.186231i
\(732\) 12.2190 + 28.5971i 0.451626 + 1.05698i
\(733\) 4.73859 45.0847i 0.175024 1.66524i −0.456378 0.889786i \(-0.650854\pi\)
0.631402 0.775455i \(-0.282480\pi\)
\(734\) −1.16846 + 0.248364i −0.0431286 + 0.00916727i
\(735\) −38.6719 5.45514i −1.42644 0.201216i
\(736\) −8.29928 1.76407i −0.305916 0.0650244i
\(737\) −1.59517 + 4.90942i −0.0587587 + 0.180841i
\(738\) −1.09946 2.04432i −0.0404719 0.0752523i
\(739\) 12.0961 + 37.2280i 0.444963 + 1.36945i 0.882524 + 0.470267i \(0.155842\pi\)
−0.437562 + 0.899188i \(0.644158\pi\)
\(740\) 22.1689 + 25.6515i 0.814946 + 0.942969i
\(741\) 0.136284 + 0.193654i 0.00500652 + 0.00711405i
\(742\) 0.134531 1.27998i 0.00493881 0.0469896i
\(743\) 24.2958 + 42.0815i 0.891325 + 1.54382i 0.838288 + 0.545228i \(0.183557\pi\)
0.0530375 + 0.998593i \(0.483110\pi\)
\(744\) −5.86182 + 1.80737i −0.214905 + 0.0662612i
\(745\) −14.4452 + 6.08250i −0.529231 + 0.222846i
\(746\) 1.40499 1.02078i 0.0514403 0.0373735i
\(747\) −6.84779 5.29792i −0.250548 0.193841i
\(748\) −0.871772 2.68304i −0.0318751 0.0981016i
\(749\) −17.5470 + 30.3923i −0.641154 + 1.11051i
\(750\) −2.87111 + 1.37807i −0.104838 + 0.0503202i
\(751\) 9.62073 + 16.6636i 0.351066 + 0.608063i 0.986436 0.164144i \(-0.0524861\pi\)
−0.635371 + 0.772207i \(0.719153\pi\)
\(752\) −33.2231 + 36.8980i −1.21152 + 1.34553i
\(753\) −28.5663 17.0722i −1.04101 0.622145i
\(754\) −0.206263 1.96246i −0.00751165 0.0714686i
\(755\) −8.38982 6.36021i −0.305337 0.231472i
\(756\) −23.3307 35.3720i −0.848528 1.28647i
\(757\) −21.2374 −0.771886 −0.385943 0.922523i \(-0.626124\pi\)
−0.385943 + 0.922523i \(0.626124\pi\)
\(758\) −5.29557 + 2.35774i −0.192344 + 0.0856370i
\(759\) −2.70539 + 0.243164i −0.0981994 + 0.00882629i
\(760\) 0.106262 0.0203372i 0.00385453 0.000737710i
\(761\) 22.6915 25.2015i 0.822566 0.913552i −0.174908 0.984585i \(-0.555963\pi\)
0.997474 + 0.0710326i \(0.0226294\pi\)
\(762\) 0.388638 0.838629i 0.0140789 0.0303803i
\(763\) −22.3325 24.8027i −0.808490 0.897919i
\(764\) −0.355085 1.09284i −0.0128465 0.0395375i
\(765\) 25.8780 + 6.88234i 0.935619 + 0.248831i
\(766\) 0.317141 0.976061i 0.0114588 0.0352665i
\(767\) 8.34618 3.71596i 0.301363 0.134175i
\(768\) −14.4224 + 19.2341i −0.520425 + 0.694049i
\(769\) −3.69454 + 35.1512i −0.133228 + 1.26758i 0.699794 + 0.714345i \(0.253275\pi\)
−0.833022 + 0.553240i \(0.813391\pi\)
\(770\) −0.262588