Properties

Label 135.2.q.a.2.8
Level $135$
Weight $2$
Character 135.2
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 135.2
Dual form 135.2.q.a.68.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.264318 - 0.377486i) q^{2} +(-0.938886 - 1.45550i) q^{3} +(0.611409 - 1.67983i) q^{4} +(2.04357 + 0.907638i) q^{5} +(-0.301267 + 0.739132i) q^{6} +(-3.26325 - 1.52168i) q^{7} +(-1.68596 + 0.451753i) q^{8} +(-1.23699 + 2.73311i) q^{9} +O(q^{10})\) \(q+(-0.264318 - 0.377486i) q^{2} +(-0.938886 - 1.45550i) q^{3} +(0.611409 - 1.67983i) q^{4} +(2.04357 + 0.907638i) q^{5} +(-0.301267 + 0.739132i) q^{6} +(-3.26325 - 1.52168i) q^{7} +(-1.68596 + 0.451753i) q^{8} +(-1.23699 + 2.73311i) q^{9} +(-0.197534 - 1.01132i) q^{10} +(2.85486 - 3.40229i) q^{11} +(-3.01905 + 0.687263i) q^{12} +(-0.323128 - 0.226257i) q^{13} +(0.288125 + 1.63404i) q^{14} +(-0.597612 - 3.82660i) q^{15} +(-2.12266 - 1.78113i) q^{16} +(3.86289 + 1.03506i) q^{17} +(1.35867 - 0.255466i) q^{18} +(-1.05819 - 0.610947i) q^{19} +(2.77414 - 2.87792i) q^{20} +(0.849012 + 6.17836i) q^{21} +(-2.03891 - 0.178381i) q^{22} +(1.66839 + 3.57786i) q^{23} +(2.24046 + 2.02978i) q^{24} +(3.35239 + 3.70965i) q^{25} +0.181780i q^{26} +(5.13944 - 0.765638i) q^{27} +(-4.55135 + 4.55135i) q^{28} +(-0.885233 + 5.02040i) q^{29} +(-1.28653 + 1.23703i) q^{30} +(9.19946 + 3.34833i) q^{31} +(-0.415541 + 4.74965i) q^{32} +(-7.63244 - 0.960899i) q^{33} +(-0.630312 - 1.73177i) q^{34} +(-5.28756 - 6.07152i) q^{35} +(3.83486 + 3.74897i) q^{36} +(2.84615 - 10.6220i) q^{37} +(0.0490755 + 0.560936i) q^{38} +(-0.0259371 + 0.682744i) q^{39} +(-3.85542 - 0.607055i) q^{40} +(-1.80826 + 0.318845i) q^{41} +(2.10783 - 1.95354i) q^{42} +(-2.49969 + 0.218695i) q^{43} +(-3.96979 - 6.87588i) q^{44} +(-5.00854 + 4.46257i) q^{45} +(0.909608 - 1.57549i) q^{46} +(-0.554905 + 1.19000i) q^{47} +(-0.599497 + 4.76182i) q^{48} +(3.83380 + 4.56894i) q^{49} +(0.514242 - 2.24601i) q^{50} +(-2.12028 - 6.59425i) q^{51} +(-0.577637 + 0.404466i) q^{52} +(3.53443 + 3.53443i) q^{53} +(-1.64746 - 1.73769i) q^{54} +(8.92217 - 4.36165i) q^{55} +(6.18915 + 1.09131i) q^{56} +(0.104285 + 2.11381i) q^{57} +(2.12911 - 0.992822i) q^{58} +(0.467138 - 0.391975i) q^{59} +(-6.79343 - 1.33573i) q^{60} +(-1.87695 + 0.683152i) q^{61} +(-1.16764 - 4.35769i) q^{62} +(8.19551 - 7.03652i) q^{63} +(-2.89665 + 1.67238i) q^{64} +(-0.454977 - 0.755656i) q^{65} +(1.65467 + 3.13512i) q^{66} +(-2.34038 + 3.34241i) q^{67} +(4.10053 - 5.85616i) q^{68} +(3.64117 - 5.78755i) q^{69} +(-0.894311 + 3.60079i) q^{70} +(-10.9258 + 6.30801i) q^{71} +(0.850825 - 5.16673i) q^{72} +(-1.07262 - 4.00309i) q^{73} +(-4.76194 + 1.73320i) q^{74} +(2.25190 - 8.36235i) q^{75} +(-1.67328 + 1.40404i) q^{76} +(-14.4933 + 6.75835i) q^{77} +(0.264582 - 0.170671i) q^{78} +(-11.8688 - 2.09278i) q^{79} +(-2.72120 - 5.56647i) q^{80} +(-5.93973 - 6.76162i) q^{81} +(0.598316 + 0.598316i) q^{82} +(2.20663 - 1.54510i) q^{83} +(10.8977 + 2.35131i) q^{84} +(6.95464 + 5.62132i) q^{85} +(0.743269 + 0.885794i) q^{86} +(8.13835 - 3.42513i) q^{87} +(-3.27620 + 7.02584i) q^{88} +(-1.23513 + 2.13931i) q^{89} +(3.00840 + 0.711114i) q^{90} +(0.710159 + 1.23003i) q^{91} +(7.03028 - 0.615070i) q^{92} +(-3.76374 - 16.5336i) q^{93} +(0.595878 - 0.105069i) q^{94} +(-1.60797 - 2.20897i) q^{95} +(7.30328 - 3.85456i) q^{96} +(0.0496393 + 0.567380i) q^{97} +(0.711367 - 2.65486i) q^{98} +(5.76740 + 12.0112i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.264318 0.377486i −0.186901 0.266923i 0.714756 0.699374i \(-0.246538\pi\)
−0.901657 + 0.432451i \(0.857649\pi\)
\(3\) −0.938886 1.45550i −0.542066 0.840336i
\(4\) 0.611409 1.67983i 0.305705 0.839916i
\(5\) 2.04357 + 0.907638i 0.913914 + 0.405908i
\(6\) −0.301267 + 0.739132i −0.122992 + 0.301750i
\(7\) −3.26325 1.52168i −1.23339 0.575141i −0.307004 0.951708i \(-0.599327\pi\)
−0.926389 + 0.376567i \(0.877104\pi\)
\(8\) −1.68596 + 0.451753i −0.596078 + 0.159719i
\(9\) −1.23699 + 2.73311i −0.412328 + 0.911035i
\(10\) −0.197534 1.01132i −0.0624656 0.319809i
\(11\) 2.85486 3.40229i 0.860773 1.02583i −0.138597 0.990349i \(-0.544259\pi\)
0.999370 0.0354810i \(-0.0112963\pi\)
\(12\) −3.01905 + 0.687263i −0.871524 + 0.198396i
\(13\) −0.323128 0.226257i −0.0896196 0.0627524i 0.527908 0.849302i \(-0.322977\pi\)
−0.617527 + 0.786549i \(0.711866\pi\)
\(14\) 0.288125 + 1.63404i 0.0770047 + 0.436715i
\(15\) −0.597612 3.82660i −0.154303 0.988024i
\(16\) −2.12266 1.78113i −0.530666 0.445281i
\(17\) 3.86289 + 1.03506i 0.936888 + 0.251038i 0.694789 0.719213i \(-0.255498\pi\)
0.242098 + 0.970252i \(0.422164\pi\)
\(18\) 1.35867 0.255466i 0.320241 0.0602138i
\(19\) −1.05819 0.610947i −0.242766 0.140161i 0.373682 0.927557i \(-0.378095\pi\)
−0.616447 + 0.787396i \(0.711429\pi\)
\(20\) 2.77414 2.87792i 0.620316 0.643523i
\(21\) 0.849012 + 6.17836i 0.185270 + 1.34823i
\(22\) −2.03891 0.178381i −0.434697 0.0380310i
\(23\) 1.66839 + 3.57786i 0.347882 + 0.746036i 0.999926 0.0121450i \(-0.00386597\pi\)
−0.652044 + 0.758181i \(0.726088\pi\)
\(24\) 2.24046 + 2.02978i 0.457331 + 0.414328i
\(25\) 3.35239 + 3.70965i 0.670477 + 0.741930i
\(26\) 0.181780i 0.0356500i
\(27\) 5.13944 0.765638i 0.989085 0.147347i
\(28\) −4.55135 + 4.55135i −0.860124 + 0.860124i
\(29\) −0.885233 + 5.02040i −0.164384 + 0.932266i 0.785314 + 0.619097i \(0.212501\pi\)
−0.949698 + 0.313168i \(0.898610\pi\)
\(30\) −1.28653 + 1.23703i −0.234886 + 0.225850i
\(31\) 9.19946 + 3.34833i 1.65227 + 0.601378i 0.989121 0.147107i \(-0.0469963\pi\)
0.663152 + 0.748485i \(0.269219\pi\)
\(32\) −0.415541 + 4.74965i −0.0734579 + 0.839628i
\(33\) −7.63244 0.960899i −1.32864 0.167271i
\(34\) −0.630312 1.73177i −0.108098 0.296996i
\(35\) −5.28756 6.07152i −0.893761 1.02627i
\(36\) 3.83486 + 3.74897i 0.639143 + 0.624829i
\(37\) 2.84615 10.6220i 0.467905 1.74624i −0.179171 0.983818i \(-0.557342\pi\)
0.647076 0.762426i \(-0.275992\pi\)
\(38\) 0.0490755 + 0.560936i 0.00796111 + 0.0909958i
\(39\) −0.0259371 + 0.682744i −0.00415327 + 0.109327i
\(40\) −3.85542 0.607055i −0.609596 0.0959838i
\(41\) −1.80826 + 0.318845i −0.282403 + 0.0497952i −0.313055 0.949735i \(-0.601353\pi\)
0.0306526 + 0.999530i \(0.490241\pi\)
\(42\) 2.10783 1.95354i 0.325246 0.301438i
\(43\) −2.49969 + 0.218695i −0.381200 + 0.0333507i −0.276146 0.961116i \(-0.589057\pi\)
−0.105054 + 0.994466i \(0.533502\pi\)
\(44\) −3.96979 6.87588i −0.598469 1.03658i
\(45\) −5.00854 + 4.46257i −0.746629 + 0.665240i
\(46\) 0.909608 1.57549i 0.134114 0.232293i
\(47\) −0.554905 + 1.19000i −0.0809412 + 0.173579i −0.942613 0.333887i \(-0.891640\pi\)
0.861672 + 0.507465i \(0.169418\pi\)
\(48\) −0.599497 + 4.76182i −0.0865300 + 0.687309i
\(49\) 3.83380 + 4.56894i 0.547685 + 0.652706i
\(50\) 0.514242 2.24601i 0.0727249 0.317633i
\(51\) −2.12028 6.59425i −0.296899 0.923380i
\(52\) −0.577637 + 0.404466i −0.0801039 + 0.0560893i
\(53\) 3.53443 + 3.53443i 0.485491 + 0.485491i 0.906880 0.421389i \(-0.138457\pi\)
−0.421389 + 0.906880i \(0.638457\pi\)
\(54\) −1.64746 1.73769i −0.224191 0.236470i
\(55\) 8.92217 4.36165i 1.20307 0.588125i
\(56\) 6.18915 + 1.09131i 0.827060 + 0.145833i
\(57\) 0.104285 + 2.11381i 0.0138129 + 0.279981i
\(58\) 2.12911 0.992822i 0.279566 0.130364i
\(59\) 0.467138 0.391975i 0.0608162 0.0510308i −0.611873 0.790956i \(-0.709584\pi\)
0.672689 + 0.739925i \(0.265139\pi\)
\(60\) −6.79343 1.33573i −0.877028 0.172442i
\(61\) −1.87695 + 0.683152i −0.240318 + 0.0874687i −0.459372 0.888244i \(-0.651925\pi\)
0.219053 + 0.975713i \(0.429703\pi\)
\(62\) −1.16764 4.35769i −0.148290 0.553427i
\(63\) 8.19551 7.03652i 1.03254 0.886518i
\(64\) −2.89665 + 1.67238i −0.362081 + 0.209048i
\(65\) −0.454977 0.755656i −0.0564330 0.0937276i
\(66\) 1.65467 + 3.13512i 0.203676 + 0.385907i
\(67\) −2.34038 + 3.34241i −0.285923 + 0.408341i −0.936261 0.351304i \(-0.885738\pi\)
0.650338 + 0.759645i \(0.274627\pi\)
\(68\) 4.10053 5.85616i 0.497262 0.710164i
\(69\) 3.64117 5.78755i 0.438346 0.696739i
\(70\) −0.894311 + 3.60079i −0.106891 + 0.430377i
\(71\) −10.9258 + 6.30801i −1.29665 + 0.748623i −0.979824 0.199860i \(-0.935951\pi\)
−0.316829 + 0.948483i \(0.602618\pi\)
\(72\) 0.850825 5.16673i 0.100271 0.608905i
\(73\) −1.07262 4.00309i −0.125541 0.468526i 0.874317 0.485355i \(-0.161310\pi\)
−0.999858 + 0.0168287i \(0.994643\pi\)
\(74\) −4.76194 + 1.73320i −0.553564 + 0.201481i
\(75\) 2.25190 8.36235i 0.260027 0.965601i
\(76\) −1.67328 + 1.40404i −0.191938 + 0.161055i
\(77\) −14.4933 + 6.75835i −1.65167 + 0.770186i
\(78\) 0.264582 0.170671i 0.0299580 0.0193247i
\(79\) −11.8688 2.09278i −1.33534 0.235457i −0.540023 0.841650i \(-0.681585\pi\)
−0.795317 + 0.606193i \(0.792696\pi\)
\(80\) −2.72120 5.56647i −0.304239 0.622350i
\(81\) −5.93973 6.76162i −0.659970 0.751292i
\(82\) 0.598316 + 0.598316i 0.0660729 + 0.0660729i
\(83\) 2.20663 1.54510i 0.242209 0.169597i −0.446169 0.894949i \(-0.647212\pi\)
0.688378 + 0.725352i \(0.258323\pi\)
\(84\) 10.8977 + 2.35131i 1.18904 + 0.256549i
\(85\) 6.95464 + 5.62132i 0.754336 + 0.609718i
\(86\) 0.743269 + 0.885794i 0.0801488 + 0.0955176i
\(87\) 8.13835 3.42513i 0.872523 0.367212i
\(88\) −3.27620 + 7.02584i −0.349244 + 0.748957i
\(89\) −1.23513 + 2.13931i −0.130924 + 0.226766i −0.924033 0.382313i \(-0.875128\pi\)
0.793109 + 0.609079i \(0.208461\pi\)
\(90\) 3.00840 + 0.711114i 0.317114 + 0.0749580i
\(91\) 0.710159 + 1.23003i 0.0744449 + 0.128942i
\(92\) 7.03028 0.615070i 0.732957 0.0641254i
\(93\) −3.76374 16.5336i −0.390281 1.71445i
\(94\) 0.595878 0.105069i 0.0614601 0.0108371i
\(95\) −1.60797 2.20897i −0.164974 0.226635i
\(96\) 7.30328 3.85456i 0.745388 0.393405i
\(97\) 0.0496393 + 0.567380i 0.00504011 + 0.0576087i 0.998298 0.0583150i \(-0.0185728\pi\)
−0.993258 + 0.115924i \(0.963017\pi\)
\(98\) 0.711367 2.65486i 0.0718589 0.268181i
\(99\) 5.76740 + 12.0112i 0.579646 + 1.20717i
\(100\) 8.28127 3.36333i 0.828127 0.336333i
\(101\) −5.00202 13.7429i −0.497720 1.36747i −0.893473 0.449117i \(-0.851739\pi\)
0.395753 0.918357i \(-0.370484\pi\)
\(102\) −1.92881 + 2.54336i −0.190980 + 0.251830i
\(103\) −1.50115 + 17.1583i −0.147913 + 1.69066i 0.453135 + 0.891442i \(0.350306\pi\)
−0.601048 + 0.799213i \(0.705250\pi\)
\(104\) 0.646995 + 0.235487i 0.0634431 + 0.0230914i
\(105\) −3.87270 + 13.3965i −0.377937 + 1.30737i
\(106\) 0.399982 2.26841i 0.0388497 0.220328i
\(107\) −4.07639 + 4.07639i −0.394080 + 0.394080i −0.876139 0.482059i \(-0.839889\pi\)
0.482059 + 0.876139i \(0.339889\pi\)
\(108\) 1.85615 9.10151i 0.178609 0.875793i
\(109\) 7.33084i 0.702167i 0.936344 + 0.351084i \(0.114187\pi\)
−0.936344 + 0.351084i \(0.885813\pi\)
\(110\) −4.00475 2.21513i −0.381838 0.211204i
\(111\) −18.1326 + 5.83025i −1.72107 + 0.553383i
\(112\) 4.21648 + 9.04228i 0.398420 + 0.854415i
\(113\) 7.30233 + 0.638871i 0.686945 + 0.0600999i 0.425284 0.905060i \(-0.360174\pi\)
0.261661 + 0.965160i \(0.415730\pi\)
\(114\) 0.770369 0.598085i 0.0721516 0.0560158i
\(115\) 0.162063 + 8.82592i 0.0151125 + 0.823021i
\(116\) 7.89220 + 4.55656i 0.732772 + 0.423066i
\(117\) 1.01809 0.603267i 0.0941223 0.0557721i
\(118\) −0.271438 0.0727316i −0.0249879 0.00669549i
\(119\) −11.0305 9.25573i −1.01117 0.848471i
\(120\) 2.73623 + 6.18154i 0.249782 + 0.564295i
\(121\) −1.51523 8.59327i −0.137748 0.781206i
\(122\) 0.753991 + 0.527950i 0.0682632 + 0.0477984i
\(123\) 2.16183 + 2.33257i 0.194926 + 0.210321i
\(124\) 11.2493 13.4064i 1.01021 1.20393i
\(125\) 3.48383 + 10.6237i 0.311603 + 0.950212i
\(126\) −4.82241 1.23381i −0.429614 0.109916i
\(127\) −5.09700 + 1.36574i −0.452285 + 0.121189i −0.477769 0.878486i \(-0.658554\pi\)
0.0254832 + 0.999675i \(0.491888\pi\)
\(128\) 10.0391 + 4.68132i 0.887341 + 0.413774i
\(129\) 2.66524 + 3.43299i 0.234661 + 0.302258i
\(130\) −0.164990 + 0.371481i −0.0144706 + 0.0325810i
\(131\) 0.242450 0.666126i 0.0211829 0.0581997i −0.928650 0.370956i \(-0.879030\pi\)
0.949833 + 0.312756i \(0.101252\pi\)
\(132\) −6.28069 + 12.2337i −0.546664 + 1.06481i
\(133\) 2.52348 + 3.60390i 0.218813 + 0.312498i
\(134\) 1.88032 0.162435
\(135\) 11.1977 + 3.10011i 0.963748 + 0.266815i
\(136\) −6.98028 −0.598554
\(137\) −0.583999 0.834037i −0.0498944 0.0712566i 0.793430 0.608662i \(-0.208293\pi\)
−0.843324 + 0.537405i \(0.819405\pi\)
\(138\) −3.14715 + 0.155265i −0.267903 + 0.0132170i
\(139\) 7.61336 20.9175i 0.645757 1.77420i 0.0129201 0.999917i \(-0.495887\pi\)
0.632837 0.774285i \(-0.281890\pi\)
\(140\) −13.4320 + 5.17004i −1.13521 + 0.436948i
\(141\) 2.25304 0.309606i 0.189740 0.0260735i
\(142\) 5.26907 + 2.45701i 0.442170 + 0.206187i
\(143\) −1.69228 + 0.453445i −0.141515 + 0.0379189i
\(144\) 7.49371 3.59824i 0.624476 0.299853i
\(145\) −6.36575 + 9.45609i −0.528647 + 0.785286i
\(146\) −1.22759 + 1.46299i −0.101596 + 0.121078i
\(147\) 3.05061 9.86982i 0.251610 0.814049i
\(148\) −16.1030 11.2754i −1.32366 0.926835i
\(149\) 2.80203 + 15.8911i 0.229551 + 1.30185i 0.853791 + 0.520616i \(0.174298\pi\)
−0.624240 + 0.781233i \(0.714591\pi\)
\(150\) −3.75189 + 1.36026i −0.306340 + 0.111065i
\(151\) 6.91118 + 5.79917i 0.562424 + 0.471930i 0.879122 0.476597i \(-0.158130\pi\)
−0.316698 + 0.948526i \(0.602574\pi\)
\(152\) 2.06007 + 0.551994i 0.167094 + 0.0447726i
\(153\) −7.60726 + 9.27733i −0.615010 + 0.750027i
\(154\) 6.38204 + 3.68467i 0.514279 + 0.296919i
\(155\) 15.7607 + 15.1923i 1.26593 + 1.22028i
\(156\) 1.13104 + 0.461006i 0.0905555 + 0.0369100i
\(157\) −1.42921 0.125040i −0.114063 0.00997924i 0.0299812 0.999550i \(-0.490455\pi\)
−0.144044 + 0.989571i \(0.546011\pi\)
\(158\) 2.34714 + 5.03345i 0.186728 + 0.400440i
\(159\) 1.82595 8.46280i 0.144807 0.671144i
\(160\) −5.16015 + 9.32910i −0.407946 + 0.737530i
\(161\) 14.2142i 1.12024i
\(162\) −0.982436 + 4.02938i −0.0771874 + 0.316578i
\(163\) 6.66882 6.66882i 0.522343 0.522343i −0.395936 0.918278i \(-0.629580\pi\)
0.918278 + 0.395936i \(0.129580\pi\)
\(164\) −0.569980 + 3.23252i −0.0445080 + 0.252417i
\(165\) −14.7253 8.89116i −1.14636 0.692176i
\(166\) −1.16651 0.424573i −0.0905384 0.0329533i
\(167\) 1.46130 16.7028i 0.113079 1.29250i −0.701593 0.712578i \(-0.747528\pi\)
0.814672 0.579922i \(-0.196917\pi\)
\(168\) −4.22250 10.0330i −0.325773 0.774059i
\(169\) −4.39304 12.0698i −0.337926 0.928445i
\(170\) 0.283729 4.11109i 0.0217611 0.315306i
\(171\) 2.97875 2.13641i 0.227791 0.163376i
\(172\) −1.16096 + 4.33278i −0.0885227 + 0.330371i
\(173\) 0.666108 + 7.61365i 0.0506432 + 0.578855i 0.978545 + 0.206031i \(0.0660548\pi\)
−0.927902 + 0.372824i \(0.878390\pi\)
\(174\) −3.44405 2.16679i −0.261093 0.164264i
\(175\) −5.29479 17.2068i −0.400248 1.30071i
\(176\) −12.1198 + 2.13705i −0.913566 + 0.161086i
\(177\) −1.00911 0.311901i −0.0758494 0.0234439i
\(178\) 1.13403 0.0992144i 0.0849988 0.00743644i
\(179\) −2.10555 3.64692i −0.157376 0.272584i 0.776545 0.630061i \(-0.216970\pi\)
−0.933922 + 0.357477i \(0.883637\pi\)
\(180\) 4.43410 + 11.1420i 0.330498 + 0.830473i
\(181\) −2.97345 + 5.15017i −0.221015 + 0.382809i −0.955116 0.296231i \(-0.904270\pi\)
0.734102 + 0.679040i \(0.237604\pi\)
\(182\) 0.276611 0.593194i 0.0205038 0.0439705i
\(183\) 2.75657 + 2.09050i 0.203772 + 0.154534i
\(184\) −4.42915 5.27845i −0.326521 0.389133i
\(185\) 15.4572 19.1235i 1.13644 1.40599i
\(186\) −5.24635 + 5.79088i −0.384681 + 0.424608i
\(187\) 14.5496 10.1877i 1.06397 0.745000i
\(188\) 1.65972 + 1.65972i 0.121048 + 0.121048i
\(189\) −17.9363 5.32211i −1.30468 0.387126i
\(190\) −0.408837 + 1.19086i −0.0296602 + 0.0863938i
\(191\) −10.6788 1.88297i −0.772694 0.136247i −0.226619 0.973983i \(-0.572767\pi\)
−0.546074 + 0.837737i \(0.683878\pi\)
\(192\) 5.15378 + 2.64591i 0.371942 + 0.190952i
\(193\) 0.557718 0.260068i 0.0401454 0.0187201i −0.402442 0.915446i \(-0.631838\pi\)
0.442587 + 0.896725i \(0.354061\pi\)
\(194\) 0.201057 0.168707i 0.0144351 0.0121124i
\(195\) −0.672689 + 1.37170i −0.0481722 + 0.0982292i
\(196\) 10.0191 3.64664i 0.715648 0.260475i
\(197\) 7.11316 + 26.5467i 0.506791 + 1.89137i 0.450097 + 0.892980i \(0.351389\pi\)
0.0566946 + 0.998392i \(0.481944\pi\)
\(198\) 3.00964 5.35190i 0.213886 0.380343i
\(199\) −2.40020 + 1.38576i −0.170146 + 0.0982338i −0.582655 0.812720i \(-0.697986\pi\)
0.412509 + 0.910954i \(0.364653\pi\)
\(200\) −7.32785 4.73989i −0.518157 0.335161i
\(201\) 7.06225 + 0.268292i 0.498132 + 0.0189238i
\(202\) −3.86564 + 5.52070i −0.271985 + 0.388435i
\(203\) 10.5282 15.0358i 0.738934 1.05531i
\(204\) −12.3736 0.470067i −0.866325 0.0329113i
\(205\) −3.98471 0.989662i −0.278304 0.0691210i
\(206\) 6.87379 3.96858i 0.478919 0.276504i
\(207\) −11.8424 + 0.134108i −0.823107 + 0.00932114i
\(208\) 0.282900 + 1.05580i 0.0196156 + 0.0732065i
\(209\) −5.09961 + 1.85611i −0.352747 + 0.128389i
\(210\) 6.08062 2.07906i 0.419603 0.143469i
\(211\) −16.7925 + 14.0906i −1.15605 + 0.970038i −0.999844 0.0176876i \(-0.994370\pi\)
−0.156202 + 0.987725i \(0.549925\pi\)
\(212\) 8.09823 3.77627i 0.556189 0.259355i
\(213\) 19.4394 + 9.98004i 1.33197 + 0.683821i
\(214\) 2.61625 + 0.461315i 0.178843 + 0.0315348i
\(215\) −5.30681 1.82190i −0.361921 0.124252i
\(216\) −8.31903 + 3.61259i −0.566038 + 0.245806i
\(217\) −24.9251 24.9251i −1.69202 1.69202i
\(218\) 2.76729 1.93768i 0.187424 0.131236i
\(219\) −4.81944 + 5.31966i −0.325668 + 0.359469i
\(220\) −1.87175 17.6545i −0.126194 1.19027i
\(221\) −1.01402 1.20846i −0.0682103 0.0812899i
\(222\) 6.99360 + 5.30374i 0.469380 + 0.355964i
\(223\) 4.71331 10.1077i 0.315627 0.676863i −0.682935 0.730479i \(-0.739297\pi\)
0.998562 + 0.0536157i \(0.0170746\pi\)
\(224\) 8.58346 14.8670i 0.573507 0.993343i
\(225\) −14.2857 + 4.57364i −0.952381 + 0.304910i
\(226\) −1.68897 2.92539i −0.112349 0.194594i
\(227\) 12.7332 1.11401i 0.845130 0.0739393i 0.343639 0.939102i \(-0.388340\pi\)
0.501492 + 0.865163i \(0.332785\pi\)
\(228\) 3.61461 + 1.11722i 0.239383 + 0.0739898i
\(229\) 14.6486 2.58295i 0.968008 0.170686i 0.332775 0.943006i \(-0.392015\pi\)
0.635233 + 0.772320i \(0.280904\pi\)
\(230\) 3.28882 2.39403i 0.216858 0.157858i
\(231\) 23.4444 + 14.7498i 1.54253 + 0.970465i
\(232\) −0.775511 8.86413i −0.0509148 0.581959i
\(233\) −1.29026 + 4.81533i −0.0845279 + 0.315463i −0.995224 0.0976137i \(-0.968879\pi\)
0.910696 + 0.413076i \(0.135546\pi\)
\(234\) −0.496824 0.224859i −0.0324784 0.0146995i
\(235\) −2.21407 + 1.92819i −0.144430 + 0.125781i
\(236\) −0.372840 1.02437i −0.0242698 0.0666808i
\(237\) 8.09737 + 19.2399i 0.525980 + 1.24977i
\(238\) −0.578329 + 6.61033i −0.0374875 + 0.428484i
\(239\) 6.83215 + 2.48670i 0.441935 + 0.160851i 0.553397 0.832918i \(-0.313331\pi\)
−0.111462 + 0.993769i \(0.535553\pi\)
\(240\) −5.54712 + 9.18700i −0.358065 + 0.593018i
\(241\) 3.42764 19.4391i 0.220794 1.25219i −0.649770 0.760131i \(-0.725135\pi\)
0.870564 0.492055i \(-0.163754\pi\)
\(242\) −2.84333 + 2.84333i −0.182776 + 0.182776i
\(243\) −4.26484 + 14.9937i −0.273590 + 0.961847i
\(244\) 3.57064i 0.228587i
\(245\) 3.68770 + 12.8167i 0.235599 + 0.818827i
\(246\) 0.309101 1.43260i 0.0197075 0.0913393i
\(247\) 0.203700 + 0.436837i 0.0129611 + 0.0277953i
\(248\) −17.0226 1.48928i −1.08094 0.0945696i
\(249\) −4.32067 1.76109i −0.273812 0.111604i
\(250\) 3.08945 4.12313i 0.195394 0.260770i
\(251\) 14.7212 + 8.49927i 0.929191 + 0.536469i 0.886556 0.462622i \(-0.153091\pi\)
0.0426356 + 0.999091i \(0.486425\pi\)
\(252\) −6.80937 18.0693i −0.428950 1.13826i
\(253\) 16.9360 + 4.53797i 1.06475 + 0.285300i
\(254\) 1.86278 + 1.56305i 0.116881 + 0.0980747i
\(255\) 1.65224 15.4003i 0.103467 0.964403i
\(256\) 0.275231 + 1.56091i 0.0172019 + 0.0975570i
\(257\) −12.6747 8.87491i −0.790625 0.553601i 0.107053 0.994253i \(-0.465858\pi\)
−0.897678 + 0.440652i \(0.854747\pi\)
\(258\) 0.591431 1.91349i 0.0368209 0.119129i
\(259\) −25.4510 + 30.3313i −1.58145 + 1.88469i
\(260\) −1.54755 + 0.302270i −0.0959751 + 0.0187460i
\(261\) −12.6263 8.62960i −0.781547 0.534159i
\(262\) −0.315537 + 0.0845478i −0.0194939 + 0.00522338i
\(263\) −22.9238 10.6896i −1.41355 0.659147i −0.442221 0.896906i \(-0.645809\pi\)
−0.971324 + 0.237759i \(0.923587\pi\)
\(264\) 13.3021 1.82794i 0.818689 0.112502i
\(265\) 4.01488 + 10.4308i 0.246632 + 0.640762i
\(266\) 0.693419 1.90515i 0.0425163 0.116812i
\(267\) 4.27342 0.210830i 0.261529 0.0129026i
\(268\) 4.18376 + 5.97503i 0.255564 + 0.364983i
\(269\) 20.9181 1.27540 0.637698 0.770286i \(-0.279887\pi\)
0.637698 + 0.770286i \(0.279887\pi\)
\(270\) −1.78952 5.04640i −0.108907 0.307114i
\(271\) 6.02125 0.365765 0.182882 0.983135i \(-0.441457\pi\)
0.182882 + 0.983135i \(0.441457\pi\)
\(272\) −6.35604 9.07736i −0.385391 0.550396i
\(273\) 1.12356 2.18850i 0.0680008 0.132454i
\(274\) −0.160475 + 0.440902i −0.00969467 + 0.0266359i
\(275\) 22.1919 0.815260i 1.33822 0.0491620i
\(276\) −7.49587 9.65512i −0.451198 0.581170i
\(277\) 3.27946 + 1.52924i 0.197044 + 0.0918830i 0.518636 0.854995i \(-0.326440\pi\)
−0.321592 + 0.946878i \(0.604218\pi\)
\(278\) −9.90842 + 2.65495i −0.594267 + 0.159233i
\(279\) −20.5309 + 21.0013i −1.22916 + 1.25731i
\(280\) 11.6575 + 7.84769i 0.696667 + 0.468989i
\(281\) −15.0170 + 17.8966i −0.895839 + 1.06762i 0.101508 + 0.994835i \(0.467633\pi\)
−0.997348 + 0.0727851i \(0.976811\pi\)
\(282\) −0.712391 0.768655i −0.0424223 0.0457727i
\(283\) −14.2969 10.0108i −0.849863 0.595080i 0.0654355 0.997857i \(-0.479156\pi\)
−0.915298 + 0.402776i \(0.868045\pi\)
\(284\) 3.91627 + 22.2103i 0.232388 + 1.31794i
\(285\) −1.70546 + 4.41438i −0.101023 + 0.261485i
\(286\) 0.618469 + 0.518957i 0.0365708 + 0.0306866i
\(287\) 6.38599 + 1.71112i 0.376953 + 0.101004i
\(288\) −12.4673 7.01097i −0.734642 0.413125i
\(289\) −0.871882 0.503381i −0.0512872 0.0296107i
\(290\) 5.25212 0.0964406i 0.308415 0.00566318i
\(291\) 0.779218 0.604955i 0.0456786 0.0354631i
\(292\) −7.38033 0.645696i −0.431901 0.0377865i
\(293\) −6.96793 14.9428i −0.407071 0.872966i −0.997813 0.0661055i \(-0.978943\pi\)
0.590742 0.806861i \(-0.298835\pi\)
\(294\) −4.53205 + 1.45721i −0.264314 + 0.0849863i
\(295\) 1.31040 0.377038i 0.0762946 0.0219520i
\(296\) 19.1940i 1.11563i
\(297\) 12.0675 19.6717i 0.700225 1.14147i
\(298\) 5.25803 5.25803i 0.304590 0.304590i
\(299\) 0.270414 1.53359i 0.0156384 0.0886899i
\(300\) −12.6705 8.89564i −0.731533 0.513590i
\(301\) 8.48992 + 3.09008i 0.489351 + 0.178109i
\(302\) 0.362352 4.14170i 0.0208510 0.238328i
\(303\) −15.3066 + 20.1835i −0.879340 + 1.15951i
\(304\) 1.15801 + 3.18160i 0.0664164 + 0.182477i
\(305\) −4.45573 0.307515i −0.255134 0.0176083i
\(306\) 5.51279 + 0.419463i 0.315145 + 0.0239791i
\(307\) −4.98775 + 18.6145i −0.284666 + 1.06239i 0.664417 + 0.747362i \(0.268680\pi\)
−0.949083 + 0.315026i \(0.897987\pi\)
\(308\) 2.49155 + 28.4785i 0.141969 + 1.62271i
\(309\) 26.3834 13.9247i 1.50090 0.792150i
\(310\) 1.56905 9.96505i 0.0891159 0.565977i
\(311\) 4.11040 0.724775i 0.233079 0.0410982i −0.0558883 0.998437i \(-0.517799\pi\)
0.288968 + 0.957339i \(0.406688\pi\)
\(312\) −0.264702 1.16280i −0.0149858 0.0658305i
\(313\) −4.56966 + 0.399794i −0.258293 + 0.0225977i −0.215567 0.976489i \(-0.569160\pi\)
−0.0427260 + 0.999087i \(0.513604\pi\)
\(314\) 0.330565 + 0.572556i 0.0186549 + 0.0323112i
\(315\) 23.1347 6.94109i 1.30349 0.391086i
\(316\) −10.7722 + 18.6580i −0.605983 + 1.04959i
\(317\) −9.81902 + 21.0570i −0.551491 + 1.18268i 0.411068 + 0.911605i \(0.365156\pi\)
−0.962559 + 0.271072i \(0.912622\pi\)
\(318\) −3.67722 + 1.54760i −0.206208 + 0.0867853i
\(319\) 14.5537 + 17.3444i 0.814849 + 0.971099i
\(320\) −7.43743 + 0.788525i −0.415765 + 0.0440799i
\(321\) 9.76048 + 2.10594i 0.544777 + 0.117542i
\(322\) −5.36567 + 3.75708i −0.299017 + 0.209374i
\(323\) −3.45531 3.45531i −0.192258 0.192258i
\(324\) −14.9900 + 5.84364i −0.832778 + 0.324647i
\(325\) −0.243917 1.95719i −0.0135301 0.108566i
\(326\) −4.28008 0.754693i −0.237052 0.0417986i
\(327\) 10.6701 6.88283i 0.590056 0.380621i
\(328\) 2.90462 1.35445i 0.160381 0.0747869i
\(329\) 3.62159 3.03887i 0.199665 0.167539i
\(330\) 0.535883 + 7.90869i 0.0294994 + 0.435359i
\(331\) 17.6555 6.42608i 0.970434 0.353209i 0.192320 0.981332i \(-0.438399\pi\)
0.778114 + 0.628123i \(0.216177\pi\)
\(332\) −1.24635 4.65146i −0.0684026 0.255282i
\(333\) 25.5104 + 20.9181i 1.39796 + 1.14630i
\(334\) −6.69131 + 3.86323i −0.366132 + 0.211386i
\(335\) −7.81644 + 4.70625i −0.427058 + 0.257130i
\(336\) 9.20227 14.6268i 0.502025 0.797956i
\(337\) 4.64324 6.63124i 0.252934 0.361227i −0.672526 0.740074i \(-0.734791\pi\)
0.925459 + 0.378847i \(0.123679\pi\)
\(338\) −3.39501 + 4.84857i −0.184664 + 0.263728i
\(339\) −5.92618 11.2284i −0.321866 0.609843i
\(340\) 13.6950 8.24570i 0.742716 0.447186i
\(341\) 37.6552 21.7402i 2.03914 1.17730i
\(342\) −1.59380 0.559741i −0.0861830 0.0302673i
\(343\) 0.965147 + 3.60198i 0.0521130 + 0.194489i
\(344\) 4.11560 1.49796i 0.221898 0.0807644i
\(345\) 12.6940 8.52242i 0.683422 0.458832i
\(346\) 2.69798 2.26387i 0.145044 0.121707i
\(347\) −5.19509 + 2.42251i −0.278887 + 0.130047i −0.557030 0.830493i \(-0.688059\pi\)
0.278143 + 0.960540i \(0.410281\pi\)
\(348\) −0.777779 15.7652i −0.0416933 0.845105i
\(349\) −3.63192 0.640405i −0.194412 0.0342801i 0.0755941 0.997139i \(-0.475915\pi\)
−0.270006 + 0.962859i \(0.587026\pi\)
\(350\) −5.09580 + 6.54677i −0.272382 + 0.349940i
\(351\) −1.83393 0.915433i −0.0978878 0.0488622i
\(352\) 14.9734 + 14.9734i 0.798085 + 0.798085i
\(353\) 14.3970 10.0809i 0.766275 0.536551i −0.123832 0.992303i \(-0.539518\pi\)
0.890107 + 0.455752i \(0.150630\pi\)
\(354\) 0.148988 + 0.463366i 0.00791864 + 0.0246276i
\(355\) −28.0531 + 2.97422i −1.48890 + 0.157855i
\(356\) 2.83851 + 3.38281i 0.150441 + 0.179288i
\(357\) −3.11532 + 24.7451i −0.164880 + 1.30965i
\(358\) −0.820125 + 1.75876i −0.0433449 + 0.0929535i
\(359\) 4.06033 7.03269i 0.214296 0.371171i −0.738759 0.673970i \(-0.764588\pi\)
0.953055 + 0.302799i \(0.0979210\pi\)
\(360\) 6.42825 9.78635i 0.338798 0.515786i
\(361\) −8.75349 15.1615i −0.460710 0.797973i
\(362\) 2.73005 0.238849i 0.143488 0.0125536i
\(363\) −11.0849 + 10.2735i −0.581807 + 0.539220i
\(364\) 2.50044 0.440896i 0.131059 0.0231092i
\(365\) 1.44137 9.15417i 0.0754447 0.479151i
\(366\) 0.0605220 1.59312i 0.00316354 0.0832739i
\(367\) 1.48573 + 16.9819i 0.0775543 + 0.886450i 0.930940 + 0.365171i \(0.118989\pi\)
−0.853386 + 0.521279i \(0.825455\pi\)
\(368\) 2.83121 10.5662i 0.147587 0.550801i
\(369\) 1.36535 5.33657i 0.0710775 0.277811i
\(370\) −11.3045 0.780186i −0.587692 0.0405599i
\(371\) −6.15547 16.9120i −0.319576 0.878028i
\(372\) −30.0748 3.78632i −1.55931 0.196311i
\(373\) 2.72173 31.1095i 0.140926 1.61079i −0.515834 0.856688i \(-0.672518\pi\)
0.656760 0.754100i \(-0.271927\pi\)
\(374\) −7.69144 2.79945i −0.397715 0.144756i
\(375\) 12.1919 15.0452i 0.629588 0.776929i
\(376\) 0.397965 2.25697i 0.0205235 0.116394i
\(377\) 1.42194 1.42194i 0.0732339 0.0732339i
\(378\) 2.73188 + 8.17744i 0.140513 + 0.420602i
\(379\) 31.2281i 1.60408i 0.597269 + 0.802041i \(0.296252\pi\)
−0.597269 + 0.802041i \(0.703748\pi\)
\(380\) −4.69383 + 1.35054i −0.240788 + 0.0692813i
\(381\) 6.77334 + 6.13643i 0.347008 + 0.314379i
\(382\) 2.11182 + 4.52881i 0.108050 + 0.231714i
\(383\) −33.6778 2.94643i −1.72086 0.150555i −0.816503 0.577341i \(-0.804090\pi\)
−0.904353 + 0.426786i \(0.859646\pi\)
\(384\) −2.61191 19.0072i −0.133289 0.969957i
\(385\) −35.7523 + 0.656492i −1.82211 + 0.0334579i
\(386\) −0.245587 0.141790i −0.0125001 0.00721691i
\(387\) 2.49437 7.10245i 0.126796 0.361038i
\(388\) 0.983453 + 0.263515i 0.0499272 + 0.0133780i
\(389\) −20.9380 17.5690i −1.06160 0.890786i −0.0673324 0.997731i \(-0.521449\pi\)
−0.994265 + 0.106945i \(0.965893\pi\)
\(390\) 0.695599 0.108634i 0.0352230 0.00550090i
\(391\) 2.74149 + 15.5478i 0.138643 + 0.786284i
\(392\) −8.52768 5.97114i −0.430713 0.301588i
\(393\) −1.19718 + 0.272529i −0.0603898 + 0.0137473i
\(394\) 8.14085 9.70188i 0.410130 0.488774i
\(395\) −22.3552 15.0493i −1.12481 0.757212i
\(396\) 23.7031 2.34450i 1.19113 0.117815i
\(397\) 12.3324 3.30445i 0.618945 0.165846i 0.0642968 0.997931i \(-0.479520\pi\)
0.554648 + 0.832085i \(0.312853\pi\)
\(398\) 1.15752 + 0.539761i 0.0580213 + 0.0270558i
\(399\) 2.87623 7.05659i 0.143992 0.353271i
\(400\) −0.508634 13.8454i −0.0254317 0.692268i
\(401\) −6.74752 + 18.5387i −0.336955 + 0.925776i 0.649298 + 0.760534i \(0.275063\pi\)
−0.986253 + 0.165242i \(0.947159\pi\)
\(402\) −1.76540 2.73681i −0.0880504 0.136500i
\(403\) −2.21502 3.16338i −0.110338 0.157579i
\(404\) −26.1441 −1.30072
\(405\) −6.00118 19.2090i −0.298201 0.954503i
\(406\) −8.45859 −0.419793
\(407\) −28.0137 40.0078i −1.38859 1.98311i
\(408\) 6.55369 + 10.1598i 0.324456 + 0.502986i
\(409\) −0.987380 + 2.71280i −0.0488228 + 0.134139i −0.961707 0.274078i \(-0.911627\pi\)
0.912885 + 0.408218i \(0.133850\pi\)
\(410\) 0.679648 + 1.76576i 0.0335654 + 0.0872045i
\(411\) −0.665636 + 1.63308i −0.0328334 + 0.0805538i
\(412\) 27.9052 + 13.0124i 1.37479 + 0.641076i
\(413\) −2.12085 + 0.568280i −0.104360 + 0.0279632i
\(414\) 3.18080 + 4.43491i 0.156328 + 0.217964i
\(415\) 5.91180 1.15470i 0.290199 0.0566821i
\(416\) 1.20891 1.44073i 0.0592719 0.0706375i
\(417\) −37.5936 + 8.55791i −1.84097 + 0.419082i
\(418\) 2.04857 + 1.43443i 0.100199 + 0.0701601i
\(419\) −3.08760 17.5106i −0.150839 0.855451i −0.962492 0.271310i \(-0.912543\pi\)
0.811653 0.584140i \(-0.198568\pi\)
\(420\) 20.1361 + 14.6962i 0.982543 + 0.717103i
\(421\) 1.57150 + 1.31864i 0.0765901 + 0.0642667i 0.680279 0.732953i \(-0.261859\pi\)
−0.603689 + 0.797220i \(0.706303\pi\)
\(422\) 9.75758 + 2.61453i 0.474991 + 0.127274i
\(423\) −2.56598 2.98862i −0.124762 0.145312i
\(424\) −7.55561 4.36223i −0.366933 0.211849i
\(425\) 9.11019 + 17.7999i 0.441909 + 0.863421i
\(426\) −1.37087 9.97600i −0.0664189 0.483339i
\(427\) 7.16449 + 0.626811i 0.346714 + 0.0303335i
\(428\) 4.35531 + 9.34000i 0.210522 + 0.451466i
\(429\) 2.24885 + 2.03739i 0.108575 + 0.0983659i
\(430\) 0.714945 + 2.48480i 0.0344777 + 0.119828i
\(431\) 19.3828i 0.933636i 0.884353 + 0.466818i \(0.154600\pi\)
−0.884353 + 0.466818i \(0.845400\pi\)
\(432\) −12.2730 7.52879i −0.590484 0.362229i
\(433\) −2.30954 + 2.30954i −0.110989 + 0.110989i −0.760420 0.649431i \(-0.775007\pi\)
0.649431 + 0.760420i \(0.275007\pi\)
\(434\) −2.82071 + 15.9970i −0.135398 + 0.767881i
\(435\) 19.7401 + 0.387176i 0.946465 + 0.0185637i
\(436\) 12.3146 + 4.48214i 0.589762 + 0.214656i
\(437\) 0.420414 4.80536i 0.0201111 0.229871i
\(438\) 3.28196 + 0.413188i 0.156818 + 0.0197429i
\(439\) 1.67858 + 4.61187i 0.0801144 + 0.220112i 0.973283 0.229610i \(-0.0737451\pi\)
−0.893168 + 0.449723i \(0.851523\pi\)
\(440\) −13.0721 + 11.3842i −0.623187 + 0.542721i
\(441\) −17.2297 + 4.82646i −0.820464 + 0.229831i
\(442\) −0.188153 + 0.702196i −0.00894952 + 0.0334000i
\(443\) −1.68450 19.2540i −0.0800331 0.914783i −0.925001 0.379965i \(-0.875936\pi\)
0.844968 0.534817i \(-0.179620\pi\)
\(444\) −1.29257 + 34.0243i −0.0613426 + 1.61472i
\(445\) −4.46580 + 3.25078i −0.211699 + 0.154102i
\(446\) −5.06133 + 0.892450i −0.239661 + 0.0422587i
\(447\) 20.4988 18.9983i 0.969558 0.898588i
\(448\) 11.9973 1.04963i 0.566820 0.0495903i
\(449\) 1.49368 + 2.58713i 0.0704911 + 0.122094i 0.899117 0.437709i \(-0.144210\pi\)
−0.828626 + 0.559803i \(0.810877\pi\)
\(450\) 5.50246 + 4.18376i 0.259389 + 0.197224i
\(451\) −4.07753 + 7.06249i −0.192003 + 0.332560i
\(452\) 5.53791 11.8761i 0.260481 0.558604i
\(453\) 1.95190 15.5040i 0.0917085 0.728442i
\(454\) −3.78613 4.51214i −0.177692 0.211765i
\(455\) 0.334839 + 3.15823i 0.0156975 + 0.148060i
\(456\) −1.13074 3.51670i −0.0529518 0.164684i
\(457\) 5.40989 3.78805i 0.253064 0.177197i −0.440160 0.897919i \(-0.645078\pi\)
0.693224 + 0.720722i \(0.256189\pi\)
\(458\) −4.84692 4.84692i −0.226482 0.226482i
\(459\) 20.6455 + 2.36204i 0.963651 + 0.110251i
\(460\) 14.9252 + 5.12401i 0.695889 + 0.238908i
\(461\) 41.0394 + 7.23636i 1.91140 + 0.337031i 0.997606 0.0691537i \(-0.0220299\pi\)
0.913791 + 0.406185i \(0.133141\pi\)
\(462\) −0.628952 12.7486i −0.0292615 0.593117i
\(463\) 4.94630 2.30650i 0.229874 0.107192i −0.304269 0.952586i \(-0.598412\pi\)
0.534143 + 0.845394i \(0.320634\pi\)
\(464\) 10.8210 9.07991i 0.502353 0.421524i
\(465\) 7.31501 37.2037i 0.339225 1.72528i
\(466\) 2.15876 0.785723i 0.100002 0.0363979i
\(467\) −2.61200 9.74812i −0.120869 0.451089i 0.878790 0.477209i \(-0.158352\pi\)
−0.999659 + 0.0261197i \(0.991685\pi\)
\(468\) −0.390919 2.07906i −0.0180702 0.0961047i
\(469\) 12.7233 7.34582i 0.587509 0.339199i
\(470\) 1.31309 + 0.326125i 0.0605681 + 0.0150430i
\(471\) 1.15987 + 2.19762i 0.0534439 + 0.101261i
\(472\) −0.610502 + 0.871887i −0.0281006 + 0.0401319i
\(473\) −6.39222 + 9.12904i −0.293915 + 0.419753i
\(474\) 5.12251 8.14210i 0.235285 0.373979i
\(475\) −1.28107 5.97365i −0.0587793 0.274090i
\(476\) −22.2923 + 12.8704i −1.02176 + 0.589916i
\(477\) −14.0320 + 5.28793i −0.642481 + 0.242118i
\(478\) −0.867168 3.23632i −0.0396634 0.148026i
\(479\) −4.22629 + 1.53824i −0.193104 + 0.0702841i −0.436762 0.899577i \(-0.643875\pi\)
0.243658 + 0.969861i \(0.421653\pi\)
\(480\) 18.4233 1.24834i 0.840907 0.0569788i
\(481\) −3.32297 + 2.78830i −0.151514 + 0.127136i
\(482\) −8.24398 + 3.84423i −0.375503 + 0.175100i
\(483\) −20.6889 + 13.3455i −0.941376 + 0.607243i
\(484\) −15.3617 2.70868i −0.698258 0.123122i
\(485\) −0.413534 + 1.20454i −0.0187776 + 0.0546952i
\(486\) 6.78718 2.35319i 0.307873 0.106743i
\(487\) −2.49814 2.49814i −0.113202 0.113202i 0.648237 0.761439i \(-0.275507\pi\)
−0.761439 + 0.648237i \(0.775507\pi\)
\(488\) 2.85585 1.99969i 0.129278 0.0905215i
\(489\) −15.9678 3.44524i −0.722088 0.155799i
\(490\) 3.86338 4.77973i 0.174530 0.215926i
\(491\) 9.95960 + 11.8694i 0.449471 + 0.535658i 0.942434 0.334392i \(-0.108531\pi\)
−0.492964 + 0.870050i \(0.664086\pi\)
\(492\) 5.24009 2.20536i 0.236242 0.0994253i
\(493\) −8.61596 + 18.4770i −0.388043 + 0.832162i
\(494\) 0.111058 0.192358i 0.00499673 0.00865459i
\(495\) 0.884265 + 29.7805i 0.0397448 + 1.33854i
\(496\) −13.5636 23.4928i −0.609022 1.05486i
\(497\) 45.2524 3.95907i 2.02985 0.177589i
\(498\) 0.477248 + 2.09648i 0.0213860 + 0.0939455i
\(499\) −16.9468 + 2.98818i −0.758644 + 0.133769i −0.539572 0.841939i \(-0.681414\pi\)
−0.219072 + 0.975709i \(0.570303\pi\)
\(500\) 19.9761 + 0.643173i 0.893357 + 0.0287636i
\(501\) −25.6830 + 13.5551i −1.14743 + 0.605596i
\(502\) −0.682721 7.80354i −0.0304713 0.348289i
\(503\) −10.3567 + 38.6515i −0.461780 + 1.72339i 0.205569 + 0.978643i \(0.434095\pi\)
−0.667349 + 0.744745i \(0.732571\pi\)
\(504\) −10.6386 + 15.5657i −0.473879 + 0.693350i
\(505\) 2.25162 32.6247i 0.100196 1.45178i
\(506\) −2.76346 7.59255i −0.122851 0.337530i
\(507\) −13.4431 + 17.7262i −0.597027 + 0.787250i
\(508\) −0.822142 + 9.39712i −0.0364766 + 0.416930i
\(509\) 36.9106 + 13.4344i 1.63604 + 0.595468i 0.986339 0.164726i \(-0.0526738\pi\)
0.649696 + 0.760194i \(0.274896\pi\)
\(510\) −6.25010 + 3.44688i −0.276759 + 0.152630i
\(511\) −2.59118 + 14.6953i −0.114627 + 0.650081i
\(512\) 16.1816 16.1816i 0.715134 0.715134i
\(513\) −5.90627 2.32973i −0.260768 0.102860i
\(514\) 7.13031i 0.314504i
\(515\) −18.6412 + 33.7017i −0.821430 + 1.48507i
\(516\) 7.39639 2.37820i 0.325608 0.104694i
\(517\) 2.46454 + 5.28523i 0.108390 + 0.232444i
\(518\) 18.1768 + 1.59026i 0.798642 + 0.0698721i
\(519\) 10.4563 8.11787i 0.458980 0.356335i
\(520\) 1.10844 + 1.06847i 0.0486085 + 0.0468556i
\(521\) −26.5294 15.3168i −1.16227 0.671039i −0.210426 0.977610i \(-0.567485\pi\)
−0.951848 + 0.306571i \(0.900818\pi\)
\(522\) 0.0798049 + 7.04720i 0.00349296 + 0.308447i
\(523\) −4.33233 1.16084i −0.189439 0.0507602i 0.162852 0.986651i \(-0.447931\pi\)
−0.352291 + 0.935890i \(0.614597\pi\)
\(524\) −0.970744 0.814551i −0.0424071 0.0355838i
\(525\) −20.0733 + 23.8618i −0.876073 + 1.04141i
\(526\) 2.02403 + 11.4789i 0.0882521 + 0.500503i
\(527\) 32.0708 + 22.4562i 1.39702 + 0.978207i
\(528\) 14.4896 + 15.6340i 0.630580 + 0.680383i
\(529\) 4.76651 5.68051i 0.207240 0.246979i
\(530\) 2.87629 4.27263i 0.124938 0.185591i
\(531\) 0.493467 + 1.76160i 0.0214146 + 0.0764471i
\(532\) 7.59683 2.03556i 0.329364 0.0882529i
\(533\) 0.656441 + 0.306103i 0.0284336 + 0.0132588i
\(534\) −1.20913 1.55743i −0.0523241 0.0673965i
\(535\) −12.0303 + 4.63052i −0.520115 + 0.200195i
\(536\) 2.43586 6.69246i 0.105213 0.289070i
\(537\) −3.33124 + 6.48868i −0.143754 + 0.280007i
\(538\) −5.52902 7.89626i −0.238373 0.340432i
\(539\) 26.4898 1.14100
\(540\) 12.0541 16.9149i 0.518724 0.727901i
\(541\) 4.96440 0.213436 0.106718 0.994289i \(-0.465966\pi\)
0.106718 + 0.994289i \(0.465966\pi\)
\(542\) −1.59153 2.27293i −0.0683619 0.0976309i
\(543\) 10.2878 0.507551i 0.441493 0.0217811i
\(544\) −6.52135 + 17.9173i −0.279601 + 0.768196i
\(545\) −6.65375 + 14.9811i −0.285015 + 0.641720i
\(546\) −1.12310 + 0.154333i −0.0480644 + 0.00660486i
\(547\) −13.1847 6.14812i −0.563737 0.262875i 0.119791 0.992799i \(-0.461777\pi\)
−0.683528 + 0.729924i \(0.739555\pi\)
\(548\) −1.75810 + 0.471083i −0.0751025 + 0.0201237i
\(549\) 0.454627 5.97494i 0.0194030 0.255004i
\(550\) −6.17348 8.16164i −0.263238 0.348014i
\(551\) 4.00394 4.77171i 0.170574 0.203282i
\(552\) −3.52435 + 11.4025i −0.150006 + 0.485323i
\(553\) 35.5462 + 24.8897i 1.51158 + 1.05842i
\(554\) −0.289556 1.64216i −0.0123021 0.0697685i
\(555\) −42.3470 4.54326i −1.79753 0.192850i
\(556\) −30.4831 25.5783i −1.29277 1.08476i
\(557\) −29.0814 7.79233i −1.23222 0.330171i −0.416774 0.909010i \(-0.636840\pi\)
−0.815442 + 0.578838i \(0.803506\pi\)
\(558\) 13.3544 + 2.19912i 0.565336 + 0.0930960i
\(559\) 0.857203 + 0.494906i 0.0362558 + 0.0209323i
\(560\) 0.409580 + 22.3056i 0.0173079 + 0.942583i
\(561\) −28.4887 11.6119i −1.20279 0.490253i
\(562\) 10.7250 + 0.938313i 0.452405 + 0.0395803i
\(563\) −9.07139 19.4537i −0.382314 0.819874i −0.999455 0.0330215i \(-0.989487\pi\)
0.617141 0.786852i \(-0.288291\pi\)
\(564\) 0.857442 3.97402i 0.0361048 0.167337i
\(565\) 14.3430 + 7.93345i 0.603414 + 0.333763i
\(566\) 8.04291i 0.338069i
\(567\) 9.09383 + 31.1033i 0.381905 + 1.30621i
\(568\) 15.5708 15.5708i 0.653338 0.653338i
\(569\) 2.94509 16.7024i 0.123465 0.700202i −0.858743 0.512406i \(-0.828754\pi\)
0.982208 0.187796i \(-0.0601345\pi\)
\(570\) 2.11715 0.523015i 0.0886776 0.0219067i
\(571\) −28.4369 10.3502i −1.19005 0.433142i −0.330307 0.943873i \(-0.607152\pi\)
−0.859740 + 0.510732i \(0.829375\pi\)
\(572\) −0.272963 + 3.11998i −0.0114132 + 0.130453i
\(573\) 7.28555 + 17.3110i 0.304358 + 0.723177i
\(574\) −1.04201 2.86290i −0.0434927 0.119495i
\(575\) −7.67955 + 18.1835i −0.320259 + 0.758305i
\(576\) −0.987681 9.98555i −0.0411534 0.416065i
\(577\) 7.49741 27.9807i 0.312121 1.16485i −0.614518 0.788903i \(-0.710650\pi\)
0.926640 0.375950i \(-0.122684\pi\)
\(578\) 0.0404352 + 0.462176i 0.00168188 + 0.0192240i
\(579\) −0.902164 0.567587i −0.0374927 0.0235881i
\(580\) 11.9926 + 16.4749i 0.497965 + 0.684084i
\(581\) −9.55194 + 1.68426i −0.396281 + 0.0698751i
\(582\) −0.434323 0.134243i −0.0180033 0.00556454i
\(583\) 22.1155 1.93485i 0.915929 0.0801334i
\(584\) 3.61681 + 6.26451i 0.149665 + 0.259227i
\(585\) 2.62809 0.308765i 0.108658 0.0127659i
\(586\) −3.79893 + 6.57994i −0.156932 + 0.271815i
\(587\) −2.76499 + 5.92953i −0.114123 + 0.244738i −0.955070 0.296379i \(-0.904221\pi\)
0.840947 + 0.541117i \(0.181999\pi\)
\(588\) −14.7145 11.1590i −0.606815 0.460190i
\(589\) −7.68913 9.16355i −0.316825 0.377578i
\(590\) −0.488690 0.395000i −0.0201190 0.0162619i
\(591\) 31.9603 35.2775i 1.31467 1.45112i
\(592\) −24.9605 + 17.4775i −1.02587 + 0.718322i
\(593\) −22.3175 22.3175i −0.916469 0.916469i 0.0803015 0.996771i \(-0.474412\pi\)
−0.996771 + 0.0803015i \(0.974412\pi\)
\(594\) −10.6154 + 0.644285i −0.435556 + 0.0264354i
\(595\) −14.1409 28.9265i −0.579720 1.18587i
\(596\) 28.4076 + 5.00902i 1.16362 + 0.205177i
\(597\) 4.27049 + 2.19244i 0.174780 + 0.0897305i
\(598\) −0.650384 + 0.303279i −0.0265962 + 0.0124020i
\(599\) −8.78838 + 7.37433i −0.359083 + 0.301307i −0.804425 0.594054i \(-0.797527\pi\)
0.445342 + 0.895361i \(0.353082\pi\)
\(600\) −0.0189103 + 15.1159i −0.000772010 + 0.617105i
\(601\) −29.2326 + 10.6398i −1.19242 + 0.434007i −0.860574 0.509326i \(-0.829895\pi\)
−0.331850 + 0.943332i \(0.607673\pi\)
\(602\) −1.07758 4.02159i −0.0439189 0.163908i
\(603\) −6.24015 10.5310i −0.254118 0.428857i
\(604\) 13.9672 8.06397i 0.568317 0.328118i
\(605\) 4.70310 18.9363i 0.191208 0.769868i
\(606\) 11.6648 + 0.443141i 0.473850 + 0.0180014i
\(607\) −8.41759 + 12.0216i −0.341659 + 0.487940i −0.952807 0.303576i \(-0.901819\pi\)
0.611148 + 0.791517i \(0.290708\pi\)
\(608\) 3.34151 4.77216i 0.135516 0.193537i
\(609\) −31.7694 1.20691i −1.28736 0.0489064i
\(610\) 1.06165 + 1.76326i 0.0429849 + 0.0713922i
\(611\) 0.448550 0.258971i 0.0181464 0.0104768i
\(612\) 10.9332 + 18.4512i 0.441949 + 0.745844i
\(613\) −5.20779 19.4357i −0.210341 0.785002i −0.987755 0.156013i \(-0.950136\pi\)
0.777414 0.628989i \(-0.216531\pi\)
\(614\) 8.34507 3.03736i 0.336780 0.122578i
\(615\) 2.30073 + 6.72894i 0.0927744 + 0.271337i
\(616\) 21.3821 17.9418i 0.861511 0.722894i
\(617\) −2.70196 + 1.25995i −0.108777 + 0.0507236i −0.476245 0.879313i \(-0.658002\pi\)
0.367468 + 0.930036i \(0.380225\pi\)
\(618\) −12.2300 6.27878i −0.491962 0.252569i
\(619\) 13.1500 + 2.31870i 0.528542 + 0.0931962i 0.431550 0.902089i \(-0.357967\pi\)
0.0969919 + 0.995285i \(0.469078\pi\)
\(620\) 35.1568 17.1866i 1.41193 0.690231i
\(621\) 11.3139 + 17.1108i 0.454011 + 0.686634i
\(622\) −1.36005 1.36005i −0.0545329 0.0545329i
\(623\) 7.28589 5.10163i 0.291903 0.204393i
\(624\) 1.27111 1.40304i 0.0508851 0.0561665i
\(625\) −2.52301 + 24.8724i −0.100920 + 0.994895i
\(626\) 1.35876 + 1.61931i 0.0543070 + 0.0647206i
\(627\) 7.48952 + 5.67983i 0.299103 + 0.226831i
\(628\) −1.08388 + 2.32438i −0.0432514 + 0.0927529i
\(629\) 21.9887 38.0856i 0.876748 1.51857i
\(630\) −8.73510 6.89837i −0.348015 0.274838i
\(631\) 0.693777 + 1.20166i 0.0276188 + 0.0478372i 0.879504 0.475891i \(-0.157874\pi\)
−0.851886 + 0.523728i \(0.824541\pi\)
\(632\) 20.9557 1.83339i 0.833575 0.0729283i
\(633\) 36.2752 + 11.2121i 1.44181 + 0.445642i
\(634\) 10.5440 1.85920i 0.418758 0.0738383i
\(635\) −11.6557 1.83525i −0.462542 0.0728295i
\(636\) −13.0997 8.24153i −0.519437 0.326798i
\(637\) −0.205054 2.34378i −0.00812453 0.0928638i
\(638\) 2.70046 10.0782i 0.106912 0.399001i
\(639\) −3.72541 37.6643i −0.147375 1.48998i
\(640\) 16.2667 + 18.6785i 0.642999 + 0.738332i
\(641\) −6.63051 18.2172i −0.261890 0.719536i −0.999040 0.0438070i \(-0.986051\pi\)
0.737150 0.675729i \(-0.236171\pi\)
\(642\) −1.78491 4.24108i −0.0704448 0.167382i
\(643\) 3.60391 41.1928i 0.142124 1.62449i −0.505708 0.862705i \(-0.668769\pi\)
0.647833 0.761783i \(-0.275676\pi\)
\(644\) −23.8775 8.69071i −0.940906 0.342462i
\(645\) 2.33071 + 9.43463i 0.0917714 + 0.371488i
\(646\) −0.391028 + 2.21763i −0.0153848 + 0.0872514i
\(647\) −12.4891 + 12.4891i −0.490997 + 0.490997i −0.908620 0.417623i \(-0.862863\pi\)
0.417623 + 0.908620i \(0.362863\pi\)
\(648\) 13.0688 + 8.71657i 0.513389 + 0.342419i
\(649\) 2.70837i 0.106313i
\(650\) −0.674340 + 0.609397i −0.0264498 + 0.0239025i
\(651\) −12.8767 + 59.6804i −0.504680 + 2.33906i
\(652\) −7.12513 15.2799i −0.279042 0.598407i
\(653\) 14.6673 + 1.28323i 0.573977 + 0.0502165i 0.370449 0.928853i \(-0.379204\pi\)
0.203528 + 0.979069i \(0.434759\pi\)
\(654\) −5.41846 2.20854i −0.211879 0.0863608i
\(655\) 1.10007 1.14122i 0.0429831 0.0445912i
\(656\) 4.40623 + 2.54394i 0.172034 + 0.0993241i
\(657\) 12.2677 + 2.02017i 0.478608 + 0.0788142i
\(658\) −2.10438 0.563868i −0.0820374 0.0219819i
\(659\) 21.0565 + 17.6685i 0.820245 + 0.688268i 0.953030 0.302877i \(-0.0979473\pi\)
−0.132784 + 0.991145i \(0.542392\pi\)
\(660\) −23.9389 + 19.2999i −0.931819 + 0.751248i
\(661\) 1.73362 + 9.83186i 0.0674301 + 0.382415i 0.999782 + 0.0208639i \(0.00664165\pi\)
−0.932352 + 0.361551i \(0.882247\pi\)
\(662\) −7.09243 4.96617i −0.275655 0.193016i
\(663\) −0.806871 + 2.61052i −0.0313363 + 0.101384i
\(664\) −3.02230 + 3.60183i −0.117288 + 0.139778i
\(665\) 1.88588 + 9.65524i 0.0731312 + 0.374414i
\(666\) 1.15342 15.1588i 0.0446941 0.587392i
\(667\) −19.4392 + 5.20873i −0.752690 + 0.201683i
\(668\) −27.1644 12.6670i −1.05102 0.490100i
\(669\) −19.1371 + 2.62976i −0.739883 + 0.101672i
\(670\) 3.84257 + 1.70665i 0.148451 + 0.0659336i
\(671\) −3.03414 + 8.33623i −0.117132 + 0.321816i
\(672\) −29.6979 + 1.46515i −1.14562 + 0.0565193i
\(673\) 0.148446 + 0.212002i 0.00572216 + 0.00817209i 0.822003 0.569483i \(-0.192857\pi\)
−0.816281 + 0.577655i \(0.803968\pi\)
\(674\) −3.73049 −0.143693
\(675\) 20.0696 + 16.4988i 0.772480 + 0.635039i
\(676\) −22.9612 −0.883122
\(677\) 14.0797 + 20.1079i 0.541128 + 0.772810i 0.992853 0.119347i \(-0.0380801\pi\)
−0.451725 + 0.892157i \(0.649191\pi\)
\(678\) −2.67216 + 5.20492i −0.102624 + 0.199894i
\(679\) 0.701384 1.92704i 0.0269167 0.0739529i
\(680\) −14.2647 6.33557i −0.547027 0.242958i
\(681\) −13.5764 17.4873i −0.520251 0.670113i
\(682\) −18.1596 8.46795i −0.695366 0.324255i
\(683\) 21.4623 5.75081i 0.821232 0.220048i 0.176347 0.984328i \(-0.443572\pi\)
0.644885 + 0.764280i \(0.276905\pi\)
\(684\) −1.76759 6.31002i −0.0675853 0.241270i
\(685\) −0.436441 2.23448i −0.0166756 0.0853749i
\(686\) 1.10459 1.31640i 0.0421734 0.0502603i
\(687\) −17.5129 18.8960i −0.668158 0.720929i
\(688\) 5.69553 + 3.98805i 0.217140 + 0.152043i
\(689\) −0.342385 1.94176i −0.0130438 0.0739753i
\(690\) −6.57235 2.53917i −0.250205 0.0966647i
\(691\) −0.205042 0.172050i −0.00780016 0.00654511i 0.638879 0.769307i \(-0.279398\pi\)
−0.646679 + 0.762762i \(0.723843\pi\)
\(692\) 13.1969 + 3.53610i 0.501672 + 0.134422i
\(693\) −0.543249 47.9718i −0.0206363 1.82230i
\(694\) 2.28762 + 1.32076i 0.0868369 + 0.0501353i
\(695\) 34.5440 35.8363i 1.31033 1.35935i
\(696\) −12.1737 + 9.45117i −0.461441 + 0.358246i
\(697\) −7.31513 0.639991i −0.277080 0.0242414i
\(698\) 0.718239 + 1.54027i 0.0271857 + 0.0583000i
\(699\) 8.22014 2.64306i 0.310914 0.0999697i
\(700\) −32.1418 1.62603i −1.21485 0.0614582i
\(701\) 38.5968i 1.45778i −0.684630 0.728891i \(-0.740036\pi\)
0.684630 0.728891i \(-0.259964\pi\)
\(702\) 0.139178 + 0.934247i 0.00525292 + 0.0352609i
\(703\) −9.50124 + 9.50124i −0.358346 + 0.358346i
\(704\) −2.57960 + 14.6297i −0.0972225 + 0.551376i
\(705\) 4.88526 + 1.41224i 0.183989 + 0.0531881i
\(706\) −7.61078 2.77010i −0.286435 0.104254i
\(707\) −4.58950 + 52.4582i −0.172606 + 1.97289i
\(708\) −1.14092 + 1.50444i −0.0428784 + 0.0565402i
\(709\) −16.0622 44.1305i −0.603228 1.65735i −0.744690 0.667410i \(-0.767403\pi\)
0.141463 0.989944i \(-0.454819\pi\)
\(710\) 8.53766 + 9.80348i 0.320413 + 0.367918i
\(711\) 20.4013 29.8499i 0.765108 1.11946i
\(712\) 1.11595 4.16477i 0.0418219 0.156081i
\(713\) 3.36838 + 38.5007i 0.126147 + 1.44186i
\(714\) 10.1644 5.36459i 0.380391 0.200765i
\(715\) −3.86986 0.609329i −0.144725 0.0227876i
\(716\) −7.41357 + 1.30721i −0.277058 + 0.0488528i
\(717\) −2.79521 12.2789i −0.104389 0.458566i
\(718\) −3.72796 + 0.326154i −0.139126 + 0.0121720i
\(719\) −0.577250 0.999826i −0.0215278 0.0372872i 0.855061 0.518528i \(-0.173520\pi\)
−0.876589 + 0.481241i \(0.840186\pi\)
\(720\) 18.5798 0.551686i 0.692430 0.0205601i
\(721\) 31.0080 53.7075i 1.15480 2.00017i
\(722\) −3.40954 + 7.31177i −0.126890 + 0.272116i
\(723\) −31.5119 + 13.2622i −1.17194 + 0.493226i
\(724\) 6.83343 + 8.14376i 0.253962 + 0.302660i
\(725\) −21.5916 + 13.5464i −0.801891 + 0.503102i
\(726\) 6.80805 + 1.46892i 0.252671 + 0.0545167i
\(727\) 32.4399 22.7146i 1.20313 0.842439i 0.212252 0.977215i \(-0.431920\pi\)
0.990876 + 0.134776i \(0.0430313\pi\)
\(728\) −1.75297 1.75297i −0.0649695 0.0649695i
\(729\) 25.8276 7.86989i 0.956578 0.291477i
\(730\) −3.83655 + 1.87552i −0.141997 + 0.0694160i
\(731\) −9.88240 1.74253i −0.365514 0.0644499i
\(732\) 5.19708 3.35242i 0.192090 0.123909i
\(733\) −6.22149 + 2.90113i −0.229796 + 0.107156i −0.534106 0.845417i \(-0.679352\pi\)
0.304310 + 0.952573i \(0.401574\pi\)
\(734\) 6.01773 5.04948i 0.222119 0.186380i
\(735\) 15.1924 17.4009i 0.560379 0.641840i
\(736\) −17.6869 + 6.43750i −0.651948 + 0.237290i
\(737\) 4.69039 + 17.5048i 0.172773 + 0.644797i
\(738\) −2.37537 + 0.895152i −0.0874385 + 0.0329510i
\(739\) −28.7899 + 16.6218i −1.05905 + 0.611444i −0.925170 0.379553i \(-0.876078\pi\)
−0.133882 + 0.990997i \(0.542744\pi\)
\(740\) −22.6736 37.6579i −0.833500 1.38433i
\(741\) 0.444567 0.706627i 0.0163316 0.0259586i
\(742\) −4.75704 + 6.79375i −0.174636 + 0.249406i
\(743\) −9.68027 + 13.8249i −0.355135 + 0.507185i −0.956477 0.291806i \(-0.905744\pi\)
0.601343 + 0.798991i \(0.294633\pi\)
\(744\) 13.8146 + 26.1747i 0.506468 + 0.959611i
\(745\) −8.69721 + 35.0178i −0.318641 + 1.28295i
\(746\) −12.4628 + 7.19539i −0.456295 + 0.263442i
\(747\) 1.49335 + 7.94222i 0.0546388 + 0.290591i
\(748\) −8.21793 30.6697i −0.300477 1.12140i
\(749\) 19.5053 7.09934i 0.712707 0.259404i
\(750\) −8.90188 0.625559i −0.325051 0.0228422i
\(751\) 30.1032 25.2596i 1.09848 0.921734i 0.101158 0.994870i \(-0.467745\pi\)
0.997322 + 0.0731359i \(0.0233007\pi\)
\(752\) 3.29741 1.53761i 0.120244 0.0560708i
\(753\) −1.45078 29.4066i −0.0528692 1.07163i
\(754\) −0.912609 0.160918i −0.0332353 0.00586028i
\(755\) 8.85996 + 18.1239i 0.322447 + 0.659596i
\(756\) −19.9067 + 26.8761i −0.723999 + 0.977473i
\(757\) 15.4181 + 15.4181i 0.560380 + 0.560380i 0.929415 0.369036i \(-0.120312\pi\)
−0.369036 + 0.929415i \(0.620312\pi\)
\(758\) 11.7882 8.25417i 0.428166 0.299805i
\(759\) −9.29589 28.9110i −0.337419 1.04940i
\(760\) 3.70889 + 2.99784i 0.134536 + 0.108743i
\(761\) −14.9899 17.8642i −0.543382 0.647577i 0.422560 0.906335i \(-0.361131\pi\)
−0.965942 + 0.258757i \(0.916687\pi\)
\(762\) 0.526098 4.17881i 0.0190585 0.151382i
\(763\) 11.1552 23.9224i 0.403845 0.866049i
\(764\) −9.69221 + 16.7874i −0.350652 + 0.607347i
\(765\) −23.9664 + 12.0543i −0.866509 + 0.435823i
\(766\) 7.78943 + 13.4917i 0.281443 + 0.487474i
\(767\) −0.239632 + 0.0209651i −0.00865263 + 0.000757007i
\(768\) 2.01350 1.86612i 0.0726560 0.0673377i
\(769\) 40.5586 7.15158i 1.46258 0.257893i 0.614987 0.788537i \(-0.289161\pi\)
0.847594 + 0.530645i \(0.178050\pi\)
\(770\) 9.69781 + 13.3225i 0.349485 + 0.480109i