Properties

Label 637.2.bl.a.235.15
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.15
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.232851 + 0.0350966i) q^{2} +(-1.30177 + 0.887531i) q^{3} +(-1.85816 - 0.573166i) q^{4} +(0.133686 + 1.78391i) q^{5} +(-0.334268 + 0.160975i) q^{6} +(-0.0133000 - 2.64572i) q^{7} +(-0.836880 - 0.403020i) q^{8} +(-0.189131 + 0.481899i) q^{9} +O(q^{10})\) \(q+(0.232851 + 0.0350966i) q^{2} +(-1.30177 + 0.887531i) q^{3} +(-1.85816 - 0.573166i) q^{4} +(0.133686 + 1.78391i) q^{5} +(-0.334268 + 0.160975i) q^{6} +(-0.0133000 - 2.64572i) q^{7} +(-0.836880 - 0.403020i) q^{8} +(-0.189131 + 0.481899i) q^{9} +(-0.0314805 + 0.420078i) q^{10} +(0.106816 + 0.272162i) q^{11} +(2.92760 - 0.903044i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(0.0897589 - 0.616525i) q^{14} +(-1.75731 - 2.20359i) q^{15} +(3.03260 + 2.06759i) q^{16} +(-2.56701 - 2.38184i) q^{17} +(-0.0609524 + 0.105573i) q^{18} +(-1.53878 - 2.66525i) q^{19} +(0.774068 - 3.39142i) q^{20} +(2.36547 + 3.43231i) q^{21} +(0.0153202 + 0.0671220i) q^{22} +(3.55781 - 3.30117i) q^{23} +(1.44712 - 0.218118i) q^{24} +(1.77968 - 0.268244i) q^{25} +(-0.172620 + 0.160168i) q^{26} +(-1.23326 - 5.40329i) q^{27} +(-1.49172 + 4.92378i) q^{28} +(1.23182 - 5.39694i) q^{29} +(-0.331852 - 0.574784i) q^{30} +(2.57499 - 4.46001i) q^{31} +(1.99539 + 1.85145i) q^{32} +(-0.380602 - 0.259490i) q^{33} +(-0.514136 - 0.644706i) q^{34} +(4.71795 - 0.377421i) q^{35} +(0.627644 - 0.787041i) q^{36} +(7.41253 - 2.28646i) q^{37} +(-0.264766 - 0.674612i) q^{38} +(0.117740 - 1.57113i) q^{39} +(0.607074 - 1.54680i) q^{40} +(-1.70175 - 0.819520i) q^{41} +(0.430340 + 0.882237i) q^{42} +(-2.71753 + 1.30869i) q^{43} +(-0.0424865 - 0.566943i) q^{44} +(-0.884950 - 0.272971i) q^{45} +(0.944299 - 0.643812i) q^{46} +(10.8583 + 1.63662i) q^{47} -5.78280 q^{48} +(-6.99965 + 0.0703762i) q^{49} +0.423815 q^{50} +(5.45561 + 0.822301i) q^{51} +(1.60666 - 1.09540i) q^{52} +(6.22375 + 1.91977i) q^{53} +(-0.0975297 - 1.30144i) q^{54} +(-0.471233 + 0.226934i) q^{55} +(-1.05515 + 2.21951i) q^{56} +(4.36863 + 2.10382i) q^{57} +(0.476244 - 1.21345i) q^{58} +(0.614454 - 8.19932i) q^{59} +(2.00233 + 5.10185i) q^{60} +(-11.2608 + 3.47350i) q^{61} +(0.756120 - 0.948145i) q^{62} +(1.27748 + 0.493979i) q^{63} +(-4.17722 - 5.23807i) q^{64} +(-1.47807 - 1.00773i) q^{65} +(-0.0795162 - 0.0737803i) q^{66} +(-4.28708 + 7.42545i) q^{67} +(3.40472 + 5.89715i) q^{68} +(-1.70156 + 7.45503i) q^{69} +(1.11183 + 0.0777014i) q^{70} +(-2.89640 - 12.6900i) q^{71} +(0.352495 - 0.327068i) q^{72} +(-7.22665 + 1.08924i) q^{73} +(1.80626 - 0.272250i) q^{74} +(-2.07866 + 1.92872i) q^{75} +(1.33167 + 5.83443i) q^{76} +(0.718643 - 0.286224i) q^{77} +(0.0825573 - 0.361707i) q^{78} +(-2.67957 - 4.64115i) q^{79} +(-3.28299 + 5.68630i) q^{80} +(5.26254 + 4.88293i) q^{81} +(-0.367492 - 0.250552i) q^{82} +(-9.24311 - 11.5905i) q^{83} +(-2.42814 - 7.73358i) q^{84} +(3.90582 - 4.89774i) q^{85} +(-0.678709 + 0.209354i) q^{86} +(3.18641 + 8.11885i) q^{87} +(0.0202948 - 0.270816i) q^{88} +(0.677159 - 1.72537i) q^{89} +(-0.196481 - 0.0946203i) q^{90} +(2.07680 + 1.63918i) q^{91} +(-8.50309 + 4.09487i) q^{92} +(0.606359 + 8.09130i) q^{93} +(2.47092 + 0.762179i) q^{94} +(4.54886 - 3.10136i) q^{95} +(-4.24076 - 0.639192i) q^{96} -15.8875 q^{97} +(-1.63234 - 0.229277i) q^{98} -0.151357 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.232851 + 0.0350966i 0.164650 + 0.0248171i 0.230850 0.972989i \(-0.425849\pi\)
−0.0661996 + 0.997806i \(0.521087\pi\)
\(3\) −1.30177 + 0.887531i −0.751577 + 0.512416i −0.877472 0.479627i \(-0.840772\pi\)
0.125896 + 0.992044i \(0.459820\pi\)
\(4\) −1.85816 0.573166i −0.929079 0.286583i
\(5\) 0.133686 + 1.78391i 0.0597861 + 0.797790i 0.943840 + 0.330404i \(0.107185\pi\)
−0.884053 + 0.467386i \(0.845196\pi\)
\(6\) −0.334268 + 0.160975i −0.136464 + 0.0657177i
\(7\) −0.0133000 2.64572i −0.00502694 0.999987i
\(8\) −0.836880 0.403020i −0.295882 0.142489i
\(9\) −0.189131 + 0.481899i −0.0630438 + 0.160633i
\(10\) −0.0314805 + 0.420078i −0.00995500 + 0.132840i
\(11\) 0.106816 + 0.272162i 0.0322061 + 0.0820599i 0.946072 0.323956i \(-0.105013\pi\)
−0.913866 + 0.406016i \(0.866918\pi\)
\(12\) 2.92760 0.903044i 0.845124 0.260686i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) 0.0897589 0.616525i 0.0239891 0.164773i
\(15\) −1.75731 2.20359i −0.453735 0.568965i
\(16\) 3.03260 + 2.06759i 0.758150 + 0.516898i
\(17\) −2.56701 2.38184i −0.622591 0.577680i 0.304502 0.952512i \(-0.401510\pi\)
−0.927093 + 0.374832i \(0.877701\pi\)
\(18\) −0.0609524 + 0.105573i −0.0143666 + 0.0248837i
\(19\) −1.53878 2.66525i −0.353021 0.611451i 0.633756 0.773533i \(-0.281512\pi\)
−0.986777 + 0.162082i \(0.948179\pi\)
\(20\) 0.774068 3.39142i 0.173087 0.758344i
\(21\) 2.36547 + 3.43231i 0.516188 + 0.748992i
\(22\) 0.0153202 + 0.0671220i 0.00326627 + 0.0143105i
\(23\) 3.55781 3.30117i 0.741855 0.688341i −0.215743 0.976450i \(-0.569217\pi\)
0.957597 + 0.288110i \(0.0930267\pi\)
\(24\) 1.44712 0.218118i 0.295392 0.0445231i
\(25\) 1.77968 0.268244i 0.355936 0.0536488i
\(26\) −0.172620 + 0.160168i −0.0338535 + 0.0314115i
\(27\) −1.23326 5.40329i −0.237342 1.03986i
\(28\) −1.49172 + 4.92378i −0.281909 + 0.930508i
\(29\) 1.23182 5.39694i 0.228743 1.00219i −0.721924 0.691972i \(-0.756742\pi\)
0.950667 0.310215i \(-0.100401\pi\)
\(30\) −0.331852 0.574784i −0.0605876 0.104941i
\(31\) 2.57499 4.46001i 0.462482 0.801042i −0.536602 0.843835i \(-0.680292\pi\)
0.999084 + 0.0427932i \(0.0136257\pi\)
\(32\) 1.99539 + 1.85145i 0.352739 + 0.327294i
\(33\) −0.380602 0.259490i −0.0662543 0.0451714i
\(34\) −0.514136 0.644706i −0.0881736 0.110566i
\(35\) 4.71795 0.377421i 0.797479 0.0637958i
\(36\) 0.627644 0.787041i 0.104607 0.131173i
\(37\) 7.41253 2.28646i 1.21861 0.375892i 0.382245 0.924061i \(-0.375151\pi\)
0.836368 + 0.548169i \(0.184675\pi\)
\(38\) −0.264766 0.674612i −0.0429507 0.109437i
\(39\) 0.117740 1.57113i 0.0188535 0.251582i
\(40\) 0.607074 1.54680i 0.0959868 0.244570i
\(41\) −1.70175 0.819520i −0.265769 0.127988i 0.296254 0.955109i \(-0.404262\pi\)
−0.562023 + 0.827122i \(0.689977\pi\)
\(42\) 0.430340 + 0.882237i 0.0664028 + 0.136132i
\(43\) −2.71753 + 1.30869i −0.414419 + 0.199574i −0.629462 0.777031i \(-0.716725\pi\)
0.215044 + 0.976604i \(0.431011\pi\)
\(44\) −0.0424865 0.566943i −0.00640508 0.0854699i
\(45\) −0.884950 0.272971i −0.131921 0.0406921i
\(46\) 0.944299 0.643812i 0.139229 0.0949250i
\(47\) 10.8583 + 1.63662i 1.58384 + 0.238726i 0.881175 0.472790i \(-0.156753\pi\)
0.702669 + 0.711516i \(0.251991\pi\)
\(48\) −5.78280 −0.834675
\(49\) −6.99965 + 0.0703762i −0.999949 + 0.0100537i
\(50\) 0.423815 0.0599365
\(51\) 5.45561 + 0.822301i 0.763938 + 0.115145i
\(52\) 1.60666 1.09540i 0.222804 0.151905i
\(53\) 6.22375 + 1.91977i 0.854897 + 0.263701i 0.691070 0.722788i \(-0.257140\pi\)
0.163828 + 0.986489i \(0.447616\pi\)
\(54\) −0.0975297 1.30144i −0.0132721 0.177104i
\(55\) −0.471233 + 0.226934i −0.0635411 + 0.0305998i
\(56\) −1.05515 + 2.21951i −0.141000 + 0.296594i
\(57\) 4.36863 + 2.10382i 0.578640 + 0.278658i
\(58\) 0.476244 1.21345i 0.0625339 0.159334i
\(59\) 0.614454 8.19932i 0.0799951 1.06746i −0.802349 0.596856i \(-0.796417\pi\)
0.882344 0.470605i \(-0.155964\pi\)
\(60\) 2.00233 + 5.10185i 0.258500 + 0.658646i
\(61\) −11.2608 + 3.47350i −1.44180 + 0.444736i −0.914376 0.404867i \(-0.867318\pi\)
−0.527423 + 0.849603i \(0.676842\pi\)
\(62\) 0.756120 0.948145i 0.0960274 0.120415i
\(63\) 1.27748 + 0.493979i 0.160948 + 0.0622355i
\(64\) −4.17722 5.23807i −0.522153 0.654759i
\(65\) −1.47807 1.00773i −0.183332 0.124994i
\(66\) −0.0795162 0.0737803i −0.00978777 0.00908173i
\(67\) −4.28708 + 7.42545i −0.523751 + 0.907163i 0.475867 + 0.879517i \(0.342134\pi\)
−0.999618 + 0.0276455i \(0.991199\pi\)
\(68\) 3.40472 + 5.89715i 0.412883 + 0.715134i
\(69\) −1.70156 + 7.45503i −0.204844 + 0.897480i
\(70\) 1.11183 + 0.0777014i 0.132889 + 0.00928709i
\(71\) −2.89640 12.6900i −0.343740 1.50602i −0.791110 0.611674i \(-0.790496\pi\)
0.447370 0.894349i \(-0.352361\pi\)
\(72\) 0.352495 0.327068i 0.0415420 0.0385453i
\(73\) −7.22665 + 1.08924i −0.845815 + 0.127486i −0.557631 0.830089i \(-0.688290\pi\)
−0.288184 + 0.957575i \(0.593051\pi\)
\(74\) 1.80626 0.272250i 0.209974 0.0316484i
\(75\) −2.07866 + 1.92872i −0.240023 + 0.222709i
\(76\) 1.33167 + 5.83443i 0.152753 + 0.669256i
\(77\) 0.718643 0.286224i 0.0818970 0.0326183i
\(78\) 0.0825573 0.361707i 0.00934777 0.0409553i
\(79\) −2.67957 4.64115i −0.301475 0.522170i 0.674995 0.737822i \(-0.264146\pi\)
−0.976470 + 0.215652i \(0.930812\pi\)
\(80\) −3.28299 + 5.68630i −0.367049 + 0.635748i
\(81\) 5.26254 + 4.88293i 0.584727 + 0.542547i
\(82\) −0.367492 0.250552i −0.0405827 0.0276688i
\(83\) −9.24311 11.5905i −1.01456 1.27222i −0.961840 0.273612i \(-0.911782\pi\)
−0.0527226 0.998609i \(-0.516790\pi\)
\(84\) −2.42814 7.73358i −0.264931 0.843803i
\(85\) 3.90582 4.89774i 0.423645 0.531234i
\(86\) −0.678709 + 0.209354i −0.0731871 + 0.0225752i
\(87\) 3.18641 + 8.11885i 0.341619 + 0.870432i
\(88\) 0.0202948 0.270816i 0.00216344 0.0288691i
\(89\) 0.677159 1.72537i 0.0717787 0.182889i −0.890482 0.455019i \(-0.849633\pi\)
0.962261 + 0.272129i \(0.0877279\pi\)
\(90\) −0.196481 0.0946203i −0.0207109 0.00997385i
\(91\) 2.07680 + 1.63918i 0.217708 + 0.171833i
\(92\) −8.50309 + 4.09487i −0.886508 + 0.426920i
\(93\) 0.606359 + 8.09130i 0.0628765 + 0.839028i
\(94\) 2.47092 + 0.762179i 0.254856 + 0.0786127i
\(95\) 4.54886 3.10136i 0.466703 0.318193i
\(96\) −4.24076 0.639192i −0.432821 0.0652373i
\(97\) −15.8875 −1.61313 −0.806565 0.591146i \(-0.798676\pi\)
−0.806565 + 0.591146i \(0.798676\pi\)
\(98\) −1.63234 0.229277i −0.164892 0.0231605i
\(99\) −0.151357 −0.0152119
\(100\) −3.46068 0.521613i −0.346068 0.0521613i
\(101\) 2.24025 1.52738i 0.222913 0.151980i −0.446714 0.894677i \(-0.647406\pi\)
0.669628 + 0.742697i \(0.266454\pi\)
\(102\) 1.24148 + 0.382947i 0.122925 + 0.0379174i
\(103\) 1.24194 + 16.5725i 0.122372 + 1.63294i 0.633720 + 0.773562i \(0.281527\pi\)
−0.511349 + 0.859373i \(0.670854\pi\)
\(104\) 0.836880 0.403020i 0.0820628 0.0395194i
\(105\) −5.80671 + 4.67864i −0.566677 + 0.456589i
\(106\) 1.38183 + 0.665453i 0.134215 + 0.0646345i
\(107\) −3.83232 + 9.76460i −0.370485 + 0.943980i 0.617099 + 0.786886i \(0.288308\pi\)
−0.987584 + 0.157094i \(0.949787\pi\)
\(108\) −0.805378 + 10.7470i −0.0774975 + 1.03413i
\(109\) 1.12676 + 2.87095i 0.107924 + 0.274987i 0.974626 0.223840i \(-0.0718594\pi\)
−0.866701 + 0.498827i \(0.833764\pi\)
\(110\) −0.117692 + 0.0363031i −0.0112215 + 0.00346137i
\(111\) −7.62010 + 9.55530i −0.723268 + 0.906949i
\(112\) 5.42993 8.05090i 0.513080 0.760739i
\(113\) −2.66328 3.33965i −0.250540 0.314168i 0.640618 0.767860i \(-0.278678\pi\)
−0.891159 + 0.453692i \(0.850107\pi\)
\(114\) 0.943404 + 0.643202i 0.0883578 + 0.0602414i
\(115\) 6.36462 + 5.90550i 0.593504 + 0.550691i
\(116\) −5.38225 + 9.32234i −0.499730 + 0.865557i
\(117\) −0.258842 0.448328i −0.0239300 0.0414479i
\(118\) 0.430845 1.88765i 0.0396625 0.173773i
\(119\) −6.26753 + 6.82326i −0.574543 + 0.625487i
\(120\) 0.582562 + 2.55237i 0.0531804 + 0.232999i
\(121\) 8.00091 7.42376i 0.727355 0.674887i
\(122\) −2.74400 + 0.413591i −0.248430 + 0.0374448i
\(123\) 2.94264 0.443531i 0.265329 0.0399919i
\(124\) −7.34107 + 6.81151i −0.659247 + 0.611692i
\(125\) 2.70680 + 11.8593i 0.242103 + 1.06072i
\(126\) 0.280126 + 0.159859i 0.0249556 + 0.0142414i
\(127\) 4.43300 19.4222i 0.393365 1.72344i −0.259300 0.965797i \(-0.583492\pi\)
0.652665 0.757647i \(-0.273651\pi\)
\(128\) −3.51087 6.08100i −0.310320 0.537489i
\(129\) 2.37609 4.11550i 0.209203 0.362350i
\(130\) −0.308802 0.286527i −0.0270837 0.0251300i
\(131\) 5.98973 + 4.08373i 0.523325 + 0.356797i 0.795988 0.605313i \(-0.206952\pi\)
−0.272663 + 0.962110i \(0.587904\pi\)
\(132\) 0.558487 + 0.700321i 0.0486101 + 0.0609551i
\(133\) −7.03104 + 4.10663i −0.609668 + 0.356090i
\(134\) −1.25886 + 1.57856i −0.108749 + 0.136367i
\(135\) 9.47412 2.92238i 0.815402 0.251518i
\(136\) 1.18835 + 3.02787i 0.101900 + 0.259637i
\(137\) 1.09082 14.5560i 0.0931953 1.24360i −0.733003 0.680225i \(-0.761882\pi\)
0.826198 0.563379i \(-0.190499\pi\)
\(138\) −0.657856 + 1.67619i −0.0560005 + 0.142687i
\(139\) 16.9135 + 8.14512i 1.43458 + 0.690860i 0.979844 0.199764i \(-0.0640176\pi\)
0.454741 + 0.890624i \(0.349732\pi\)
\(140\) −8.98302 2.00286i −0.759204 0.169273i
\(141\) −15.5875 + 7.50657i −1.31271 + 0.632167i
\(142\) −0.229055 3.05653i −0.0192219 0.256498i
\(143\) −0.279383 0.0861783i −0.0233632 0.00720660i
\(144\) −1.56993 + 1.07036i −0.130827 + 0.0891967i
\(145\) 9.79235 + 1.47596i 0.813210 + 0.122572i
\(146\) −1.72096 −0.142428
\(147\) 9.04946 6.30402i 0.746387 0.519947i
\(148\) −15.0842 −1.23991
\(149\) 6.54751 + 0.986878i 0.536393 + 0.0808482i 0.411652 0.911341i \(-0.364952\pi\)
0.124741 + 0.992189i \(0.460190\pi\)
\(150\) −0.551709 + 0.376149i −0.0450469 + 0.0307124i
\(151\) −0.964830 0.297611i −0.0785167 0.0242192i 0.255248 0.966876i \(-0.417843\pi\)
−0.333765 + 0.942656i \(0.608319\pi\)
\(152\) 0.213627 + 2.85066i 0.0173274 + 0.231219i
\(153\) 1.63331 0.786559i 0.132045 0.0635895i
\(154\) 0.177382 0.0414256i 0.0142939 0.00333817i
\(155\) 8.30052 + 3.99732i 0.666713 + 0.321072i
\(156\) −1.11930 + 2.85192i −0.0896156 + 0.228337i
\(157\) 1.17873 15.7291i 0.0940731 1.25532i −0.727856 0.685729i \(-0.759483\pi\)
0.821930 0.569589i \(-0.192898\pi\)
\(158\) −0.461051 1.17474i −0.0366793 0.0934573i
\(159\) −9.80574 + 3.02467i −0.777646 + 0.239872i
\(160\) −3.03608 + 3.80712i −0.240023 + 0.300979i
\(161\) −8.78127 9.36906i −0.692061 0.738385i
\(162\) 1.05401 + 1.32169i 0.0828111 + 0.103842i
\(163\) 12.6720 + 8.63964i 0.992549 + 0.676709i 0.946659 0.322238i \(-0.104435\pi\)
0.0458906 + 0.998946i \(0.485387\pi\)
\(164\) 2.69240 + 2.49818i 0.210241 + 0.195075i
\(165\) 0.412026 0.713650i 0.0320762 0.0555576i
\(166\) −1.74548 3.02326i −0.135475 0.234650i
\(167\) 1.79319 7.85649i 0.138761 0.607954i −0.856947 0.515405i \(-0.827641\pi\)
0.995708 0.0925487i \(-0.0295014\pi\)
\(168\) −0.596325 3.82576i −0.0460075 0.295164i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 1.08137 1.00336i 0.0829370 0.0769543i
\(171\) 1.57541 0.237455i 0.120475 0.0181587i
\(172\) 5.79969 0.874162i 0.442222 0.0666542i
\(173\) −15.0114 + 13.9285i −1.14130 + 1.05897i −0.143703 + 0.989621i \(0.545901\pi\)
−0.997593 + 0.0693466i \(0.977909\pi\)
\(174\) 0.457015 + 2.00231i 0.0346462 + 0.151795i
\(175\) −0.733367 4.70497i −0.0554374 0.355662i
\(176\) −0.238791 + 1.04621i −0.0179995 + 0.0788610i
\(177\) 6.47728 + 11.2190i 0.486862 + 0.843270i
\(178\) 0.218232 0.377989i 0.0163572 0.0283315i
\(179\) −7.34819 6.81813i −0.549230 0.509611i 0.356027 0.934476i \(-0.384131\pi\)
−0.905257 + 0.424865i \(0.860322\pi\)
\(180\) 1.48792 + 1.01445i 0.110903 + 0.0756123i
\(181\) −4.63528 5.81245i −0.344537 0.432036i 0.579128 0.815237i \(-0.303393\pi\)
−0.923665 + 0.383201i \(0.874822\pi\)
\(182\) 0.426055 + 0.454573i 0.0315813 + 0.0336952i
\(183\) 11.5761 14.5160i 0.855732 1.07305i
\(184\) −4.30790 + 1.32881i −0.317582 + 0.0979612i
\(185\) 5.06980 + 12.9176i 0.372739 + 0.949724i
\(186\) −0.142786 + 1.90535i −0.0104696 + 0.139707i
\(187\) 0.374048 0.953060i 0.0273531 0.0696946i
\(188\) −19.2384 9.26471i −1.40310 0.675698i
\(189\) −14.2792 + 3.33473i −1.03866 + 0.242566i
\(190\) 1.16805 0.562505i 0.0847395 0.0408084i
\(191\) −1.44889 19.3341i −0.104838 1.39897i −0.763151 0.646221i \(-0.776349\pi\)
0.658313 0.752745i \(-0.271270\pi\)
\(192\) 10.0867 + 3.11135i 0.727947 + 0.224542i
\(193\) −5.52498 + 3.76687i −0.397697 + 0.271145i −0.745611 0.666381i \(-0.767842\pi\)
0.347914 + 0.937526i \(0.386890\pi\)
\(194\) −3.69942 0.557597i −0.265603 0.0400331i
\(195\) 2.81850 0.201837
\(196\) 13.0468 + 3.88119i 0.931913 + 0.277228i
\(197\) 2.47641 0.176437 0.0882185 0.996101i \(-0.471883\pi\)
0.0882185 + 0.996101i \(0.471883\pi\)
\(198\) −0.0352436 0.00531211i −0.00250465 0.000377515i
\(199\) 7.44011 5.07258i 0.527416 0.359586i −0.270150 0.962818i \(-0.587073\pi\)
0.797565 + 0.603232i \(0.206121\pi\)
\(200\) −1.59749 0.492760i −0.112959 0.0348434i
\(201\) −1.00952 13.4711i −0.0712062 0.950181i
\(202\) 0.575251 0.277026i 0.0404745 0.0194915i
\(203\) −14.2952 3.18726i −1.00332 0.223702i
\(204\) −9.66607 4.65493i −0.676760 0.325910i
\(205\) 1.23445 3.14533i 0.0862179 0.219680i
\(206\) −0.292452 + 3.90251i −0.0203761 + 0.271901i
\(207\) 0.917935 + 2.33886i 0.0638009 + 0.162562i
\(208\) −3.50730 + 1.08186i −0.243188 + 0.0750135i
\(209\) 0.561014 0.703489i 0.0388061 0.0486614i
\(210\) −1.51630 + 0.885631i −0.104635 + 0.0611143i
\(211\) 12.2202 + 15.3237i 0.841275 + 1.05492i 0.997737 + 0.0672410i \(0.0214196\pi\)
−0.156462 + 0.987684i \(0.550009\pi\)
\(212\) −10.4644 7.13448i −0.718695 0.489998i
\(213\) 15.0332 + 13.9488i 1.03006 + 0.955754i
\(214\) −1.23506 + 2.13919i −0.0844273 + 0.146232i
\(215\) −2.69788 4.67287i −0.183994 0.318687i
\(216\) −1.14554 + 5.01893i −0.0779440 + 0.341495i
\(217\) −11.8342 6.75338i −0.803357 0.458449i
\(218\) 0.161607 + 0.708048i 0.0109454 + 0.0479551i
\(219\) 8.44069 7.83182i 0.570369 0.529225i
\(220\) 1.00570 0.151584i 0.0678041 0.0102198i
\(221\) 3.46270 0.521918i 0.232926 0.0351080i
\(222\) −2.10971 + 1.95752i −0.141594 + 0.131380i
\(223\) 3.92502 + 17.1966i 0.262839 + 1.15157i 0.918156 + 0.396219i \(0.129678\pi\)
−0.655317 + 0.755354i \(0.727465\pi\)
\(224\) 4.87189 5.30387i 0.325517 0.354380i
\(225\) −0.207327 + 0.908360i −0.0138218 + 0.0605573i
\(226\) −0.502937 0.871113i −0.0334549 0.0579455i
\(227\) 9.25207 16.0251i 0.614082 1.06362i −0.376463 0.926431i \(-0.622860\pi\)
0.990545 0.137189i \(-0.0438067\pi\)
\(228\) −6.91177 6.41319i −0.457743 0.424724i
\(229\) 7.25065 + 4.94341i 0.479136 + 0.326670i 0.778689 0.627410i \(-0.215885\pi\)
−0.299553 + 0.954080i \(0.596837\pi\)
\(230\) 1.27474 + 1.59848i 0.0840542 + 0.105401i
\(231\) −0.681475 + 1.01042i −0.0448378 + 0.0664805i
\(232\) −3.20596 + 4.02015i −0.210482 + 0.263935i
\(233\) −26.6132 + 8.20910i −1.74349 + 0.537796i −0.992471 0.122483i \(-0.960914\pi\)
−0.751020 + 0.660279i \(0.770438\pi\)
\(234\) −0.0445369 0.113478i −0.00291147 0.00741829i
\(235\) −1.46800 + 19.5890i −0.0957614 + 1.27785i
\(236\) −5.84132 + 14.8835i −0.380238 + 0.968830i
\(237\) 7.60735 + 3.66350i 0.494150 + 0.237970i
\(238\) −1.69887 + 1.36883i −0.110122 + 0.0887283i
\(239\) 15.1080 7.27561i 0.977253 0.470620i 0.124093 0.992271i \(-0.460398\pi\)
0.853159 + 0.521650i \(0.174683\pi\)
\(240\) −0.773078 10.3160i −0.0499020 0.665895i
\(241\) 4.26328 + 1.31505i 0.274622 + 0.0847096i 0.429007 0.903301i \(-0.358864\pi\)
−0.154385 + 0.988011i \(0.549340\pi\)
\(242\) 2.12357 1.44782i 0.136508 0.0930696i
\(243\) 5.25665 + 0.792312i 0.337214 + 0.0508269i
\(244\) 22.9152 1.46700
\(245\) −1.06130 12.4773i −0.0678038 0.797149i
\(246\) 0.700762 0.0446790
\(247\) 3.04319 + 0.458688i 0.193634 + 0.0291856i
\(248\) −3.95243 + 2.69472i −0.250980 + 0.171115i
\(249\) 22.3193 + 6.88460i 1.41443 + 0.436294i
\(250\) 0.214060 + 2.85644i 0.0135384 + 0.180657i
\(251\) −3.36977 + 1.62280i −0.212698 + 0.102430i −0.537200 0.843455i \(-0.680518\pi\)
0.324501 + 0.945885i \(0.394804\pi\)
\(252\) −2.09063 1.65010i −0.131698 0.103947i
\(253\) 1.27848 + 0.615685i 0.0803775 + 0.0387078i
\(254\) 1.71388 4.36690i 0.107539 0.274004i
\(255\) −0.737575 + 9.84226i −0.0461888 + 0.616346i
\(256\) 4.29130 + 10.9340i 0.268206 + 0.683378i
\(257\) −20.7744 + 6.40805i −1.29587 + 0.399723i −0.864583 0.502491i \(-0.832417\pi\)
−0.431289 + 0.902214i \(0.641941\pi\)
\(258\) 0.697714 0.874906i 0.0434378 0.0544693i
\(259\) −6.14792 19.5811i −0.382013 1.21671i
\(260\) 2.16889 + 2.71970i 0.134509 + 0.168669i
\(261\) 2.36781 + 1.61434i 0.146563 + 0.0999253i
\(262\) 1.25139 + 1.16112i 0.0773111 + 0.0717342i
\(263\) −0.852916 + 1.47729i −0.0525931 + 0.0910939i −0.891123 0.453761i \(-0.850082\pi\)
0.838530 + 0.544855i \(0.183415\pi\)
\(264\) 0.213938 + 0.370552i 0.0131670 + 0.0228059i
\(265\) −2.59268 + 11.3593i −0.159267 + 0.697794i
\(266\) −1.78131 + 0.709468i −0.109219 + 0.0435003i
\(267\) 0.649818 + 2.84704i 0.0397682 + 0.174236i
\(268\) 12.2221 11.3404i 0.746583 0.692728i
\(269\) 12.1261 1.82771i 0.739339 0.111437i 0.231434 0.972851i \(-0.425658\pi\)
0.507905 + 0.861413i \(0.330420\pi\)
\(270\) 2.30862 0.347969i 0.140498 0.0211767i
\(271\) −0.807291 + 0.749057i −0.0490394 + 0.0455020i −0.704312 0.709891i \(-0.748744\pi\)
0.655272 + 0.755393i \(0.272554\pi\)
\(272\) −2.86005 12.5307i −0.173416 0.759784i
\(273\) −4.15834 0.290611i −0.251674 0.0175886i
\(274\) 0.764866 3.35110i 0.0462073 0.202447i
\(275\) 0.263104 + 0.455709i 0.0158658 + 0.0274803i
\(276\) 7.43473 12.8773i 0.447518 0.775125i
\(277\) −9.52381 8.83680i −0.572230 0.530952i 0.340110 0.940386i \(-0.389536\pi\)
−0.912340 + 0.409434i \(0.865726\pi\)
\(278\) 3.65246 + 2.49020i 0.219060 + 0.149353i
\(279\) 1.66226 + 2.08441i 0.0995172 + 0.124791i
\(280\) −4.10047 1.58557i −0.245050 0.0947561i
\(281\) 3.39882 4.26199i 0.202757 0.254249i −0.670049 0.742317i \(-0.733727\pi\)
0.872806 + 0.488068i \(0.162298\pi\)
\(282\) −3.89303 + 1.20084i −0.231827 + 0.0715090i
\(283\) −0.346787 0.883599i −0.0206143 0.0525245i 0.920196 0.391458i \(-0.128029\pi\)
−0.940810 + 0.338933i \(0.889934\pi\)
\(284\) −1.89148 + 25.2401i −0.112239 + 1.49772i
\(285\) −3.16901 + 8.07451i −0.187716 + 0.478293i
\(286\) −0.0620301 0.0298721i −0.00366792 0.00176638i
\(287\) −2.14559 + 4.51325i −0.126650 + 0.266409i
\(288\) −1.26960 + 0.611410i −0.0748122 + 0.0360277i
\(289\) −0.354020 4.72407i −0.0208247 0.277887i
\(290\) 2.22836 + 0.687357i 0.130854 + 0.0403630i
\(291\) 20.6818 14.1006i 1.21239 0.826594i
\(292\) 14.0526 + 2.11808i 0.822364 + 0.123951i
\(293\) 8.37658 0.489365 0.244683 0.969603i \(-0.421316\pi\)
0.244683 + 0.969603i \(0.421316\pi\)
\(294\) 2.32843 1.15029i 0.135797 0.0670863i
\(295\) 14.7090 0.856392
\(296\) −7.12489 1.07390i −0.414126 0.0624194i
\(297\) 1.33884 0.912804i 0.0776872 0.0529662i
\(298\) 1.48996 + 0.459591i 0.0863109 + 0.0266234i
\(299\) 0.362697 + 4.83985i 0.0209753 + 0.279896i
\(300\) 4.96795 2.39244i 0.286825 0.138128i
\(301\) 3.49857 + 7.17240i 0.201654 + 0.413410i
\(302\) −0.214216 0.103161i −0.0123268 0.00593626i
\(303\) −1.56070 + 3.97659i −0.0896596 + 0.228449i
\(304\) 0.844136 11.2642i 0.0484145 0.646047i
\(305\) −7.70183 19.6239i −0.441005 1.12366i
\(306\) 0.407922 0.125827i 0.0233194 0.00719307i
\(307\) −8.98346 + 11.2649i −0.512713 + 0.642922i −0.969044 0.246888i \(-0.920592\pi\)
0.456331 + 0.889810i \(0.349163\pi\)
\(308\) −1.49941 + 0.119948i −0.0854366 + 0.00683465i
\(309\) −16.3253 20.4713i −0.928715 1.16457i
\(310\) 1.79249 + 1.22210i 0.101807 + 0.0694106i
\(311\) −18.9310 17.5654i −1.07348 0.996044i −0.0734811 0.997297i \(-0.523411\pi\)
−0.999999 + 0.00125239i \(0.999601\pi\)
\(312\) −0.731732 + 1.26740i −0.0414261 + 0.0717522i
\(313\) −12.0753 20.9151i −0.682537 1.18219i −0.974204 0.225669i \(-0.927543\pi\)
0.291667 0.956520i \(-0.405790\pi\)
\(314\) 0.826507 3.62117i 0.0466425 0.204354i
\(315\) −0.710434 + 2.34496i −0.0400284 + 0.132123i
\(316\) 2.31891 + 10.1598i 0.130449 + 0.571535i
\(317\) −4.28905 + 3.97966i −0.240897 + 0.223520i −0.791377 0.611329i \(-0.790635\pi\)
0.550480 + 0.834849i \(0.314445\pi\)
\(318\) −2.38943 + 0.360149i −0.133993 + 0.0201961i
\(319\) 1.60042 0.241225i 0.0896063 0.0135060i
\(320\) 8.78583 8.15206i 0.491143 0.455714i
\(321\) −3.67759 16.1126i −0.205263 0.899316i
\(322\) −1.71591 2.48979i −0.0956237 0.138750i
\(323\) −2.39812 + 10.5069i −0.133435 + 0.584617i
\(324\) −6.97991 12.0896i −0.387773 0.671642i
\(325\) −0.899892 + 1.55866i −0.0499170 + 0.0864588i
\(326\) 2.64747 + 2.45649i 0.146630 + 0.136053i
\(327\) −4.01484 2.73727i −0.222021 0.151372i
\(328\) 1.09388 + 1.37168i 0.0603993 + 0.0757384i
\(329\) 4.18563 28.7497i 0.230761 1.58502i
\(330\) 0.120987 0.151713i 0.00666014 0.00835155i
\(331\) 12.8813 3.97337i 0.708023 0.218396i 0.0802297 0.996776i \(-0.474435\pi\)
0.627793 + 0.778380i \(0.283958\pi\)
\(332\) 10.5319 + 26.8348i 0.578012 + 1.47275i
\(333\) −0.300098 + 4.00453i −0.0164453 + 0.219447i
\(334\) 0.693283 1.76646i 0.0379348 0.0966562i
\(335\) −13.8195 6.65511i −0.755038 0.363607i
\(336\) 0.0769113 + 15.2997i 0.00419586 + 0.834664i
\(337\) −6.10183 + 2.93848i −0.332388 + 0.160069i −0.592632 0.805473i \(-0.701911\pi\)
0.260244 + 0.965543i \(0.416197\pi\)
\(338\) −0.0175975 0.234823i −0.000957179 0.0127727i
\(339\) 6.43102 + 1.98371i 0.349285 + 0.107740i
\(340\) −10.0648 + 6.86209i −0.545842 + 0.372149i
\(341\) 1.48890 + 0.224415i 0.0806282 + 0.0121528i
\(342\) 0.375170 0.0202869
\(343\) 0.279291 + 18.5182i 0.0150803 + 0.999886i
\(344\) 2.80167 0.151056
\(345\) −13.5266 2.03881i −0.728247 0.109766i
\(346\) −3.98426 + 2.71642i −0.214195 + 0.146036i
\(347\) −0.988999 0.305066i −0.0530922 0.0163768i 0.268095 0.963392i \(-0.413606\pi\)
−0.321188 + 0.947016i \(0.604082\pi\)
\(348\) −1.26741 16.9125i −0.0679405 0.906603i
\(349\) −23.9591 + 11.5381i −1.28250 + 0.617619i −0.946031 0.324076i \(-0.894947\pi\)
−0.336468 + 0.941695i \(0.609232\pi\)
\(350\) −0.00563675 1.12130i −0.000301297 0.0599357i
\(351\) 4.99339 + 2.40469i 0.266527 + 0.128353i
\(352\) −0.290756 + 0.740834i −0.0154974 + 0.0394866i
\(353\) 1.12225 14.9754i 0.0597315 0.797062i −0.884240 0.467034i \(-0.845323\pi\)
0.943971 0.330028i \(-0.107058\pi\)
\(354\) 1.11449 + 2.83968i 0.0592346 + 0.150927i
\(355\) 22.2506 6.86340i 1.18094 0.364271i
\(356\) −2.24719 + 2.81789i −0.119101 + 0.149348i
\(357\) 2.10302 14.4449i 0.111303 0.764507i
\(358\) −1.47174 1.84550i −0.0777839 0.0975379i
\(359\) −16.5140 11.2590i −0.871574 0.594229i 0.0428073 0.999083i \(-0.486370\pi\)
−0.914381 + 0.404854i \(0.867322\pi\)
\(360\) 0.630584 + 0.585096i 0.0332347 + 0.0308373i
\(361\) 4.76429 8.25200i 0.250752 0.434316i
\(362\) −0.875331 1.51612i −0.0460064 0.0796854i
\(363\) −3.82652 + 16.7651i −0.200840 + 0.879938i
\(364\) −2.91950 4.23620i −0.153023 0.222037i
\(365\) −2.90921 12.7461i −0.152275 0.667161i
\(366\) 3.20498 2.97378i 0.167527 0.155442i
\(367\) −11.2324 + 1.69302i −0.586328 + 0.0883748i −0.435506 0.900186i \(-0.643430\pi\)
−0.150823 + 0.988561i \(0.548192\pi\)
\(368\) 17.6149 2.65502i 0.918239 0.138402i
\(369\) 0.716780 0.665075i 0.0373141 0.0346224i
\(370\) 0.727142 + 3.18582i 0.0378023 + 0.165623i
\(371\) 4.99640 16.4918i 0.259400 0.856212i
\(372\) 3.51094 15.3824i 0.182034 0.797543i
\(373\) −4.11051 7.11961i −0.212834 0.368640i 0.739766 0.672864i \(-0.234936\pi\)
−0.952600 + 0.304224i \(0.901603\pi\)
\(374\) 0.120547 0.208793i 0.00623332 0.0107964i
\(375\) −14.0491 13.0356i −0.725492 0.673158i
\(376\) −8.42749 5.74577i −0.434615 0.296315i
\(377\) 3.45147 + 4.32801i 0.177760 + 0.222904i
\(378\) −3.44195 + 0.275345i −0.177035 + 0.0141622i
\(379\) 21.0734 26.4253i 1.08247 1.35737i 0.153106 0.988210i \(-0.451072\pi\)
0.929364 0.369165i \(-0.120356\pi\)
\(380\) −10.2301 + 3.15557i −0.524793 + 0.161877i
\(381\) 11.4671 + 29.2177i 0.587477 + 1.49687i
\(382\) 0.341186 4.55281i 0.0174566 0.232942i
\(383\) 4.11132 10.4755i 0.210078 0.535271i −0.786531 0.617551i \(-0.788125\pi\)
0.996609 + 0.0822799i \(0.0262201\pi\)
\(384\) 9.96742 + 4.80005i 0.508648 + 0.244952i
\(385\) 0.606671 + 1.24373i 0.0309188 + 0.0633865i
\(386\) −1.41870 + 0.683211i −0.0722100 + 0.0347745i
\(387\) −0.116688 1.55709i −0.00593156 0.0791512i
\(388\) 29.5215 + 9.10616i 1.49872 + 0.462295i
\(389\) 10.2772 7.00685i 0.521073 0.355261i −0.274045 0.961717i \(-0.588362\pi\)
0.795117 + 0.606456i \(0.207409\pi\)
\(390\) 0.656290 + 0.0989199i 0.0332326 + 0.00500900i
\(391\) −16.9958 −0.859513
\(392\) 5.88623 + 2.76210i 0.297299 + 0.139507i
\(393\) −11.4217 −0.576148
\(394\) 0.576635 + 0.0869137i 0.0290504 + 0.00437865i
\(395\) 7.92118 5.40057i 0.398558 0.271732i
\(396\) 0.281245 + 0.0867525i 0.0141331 + 0.00435948i
\(397\) 0.460322 + 6.14257i 0.0231029 + 0.308287i 0.996770 + 0.0803115i \(0.0255915\pi\)
−0.973667 + 0.227975i \(0.926789\pi\)
\(398\) 1.91047 0.920033i 0.0957631 0.0461171i
\(399\) 5.50802 11.5862i 0.275746 0.580033i
\(400\) 5.95168 + 2.86618i 0.297584 + 0.143309i
\(401\) 1.31479 3.35002i 0.0656573 0.167292i −0.894279 0.447509i \(-0.852311\pi\)
0.959937 + 0.280217i \(0.0904064\pi\)
\(402\) 0.237723 3.17220i 0.0118566 0.158215i
\(403\) 1.88150 + 4.79398i 0.0937242 + 0.238805i
\(404\) −5.03818 + 1.55407i −0.250659 + 0.0773180i
\(405\) −8.00719 + 10.0407i −0.397880 + 0.498926i
\(406\) −3.21678 1.24387i −0.159646 0.0617322i
\(407\) 1.41406 + 1.77318i 0.0700925 + 0.0878932i
\(408\) −4.23428 2.88689i −0.209628 0.142922i
\(409\) −9.97525 9.25568i −0.493244 0.457664i 0.393902 0.919153i \(-0.371125\pi\)
−0.887146 + 0.461489i \(0.847315\pi\)
\(410\) 0.397834 0.689069i 0.0196476 0.0340307i
\(411\) 11.4989 + 19.9167i 0.567200 + 0.982419i
\(412\) 7.19107 31.5061i 0.354279 1.55220i
\(413\) −21.7013 1.51662i −1.06785 0.0746281i
\(414\) 0.131656 + 0.576822i 0.00647053 + 0.0283493i
\(415\) 19.4407 18.0384i 0.954309 0.885469i
\(416\) −2.69163 + 0.405698i −0.131968 + 0.0198910i
\(417\) −29.2465 + 4.40821i −1.43221 + 0.215871i
\(418\) 0.155323 0.144118i 0.00759708 0.00704906i
\(419\) −3.67990 16.1227i −0.179775 0.787644i −0.981733 0.190264i \(-0.939066\pi\)
0.801958 0.597380i \(-0.203792\pi\)
\(420\) 13.4714 5.36545i 0.657338 0.261807i
\(421\) −5.96794 + 26.1473i −0.290860 + 1.27434i 0.592472 + 0.805591i \(0.298152\pi\)
−0.883332 + 0.468748i \(0.844705\pi\)
\(422\) 2.30768 + 3.99702i 0.112336 + 0.194572i
\(423\) −2.84233 + 4.92306i −0.138199 + 0.239367i
\(424\) −4.43482 4.11491i −0.215374 0.199838i
\(425\) −5.20737 3.55033i −0.252595 0.172216i
\(426\) 3.01094 + 3.77560i 0.145880 + 0.182928i
\(427\) 9.33967 + 29.7467i 0.451978 + 1.43954i
\(428\) 12.7178 15.9476i 0.614738 0.770857i
\(429\) 0.440179 0.135777i 0.0212520 0.00655538i
\(430\) −0.464203 1.18277i −0.0223859 0.0570382i
\(431\) −2.47736 + 33.0581i −0.119330 + 1.59235i 0.540766 + 0.841173i \(0.318134\pi\)
−0.660096 + 0.751181i \(0.729485\pi\)
\(432\) 7.43179 18.9359i 0.357562 0.911053i
\(433\) 14.0322 + 6.75753i 0.674343 + 0.324746i 0.739527 0.673127i \(-0.235049\pi\)
−0.0651843 + 0.997873i \(0.520764\pi\)
\(434\) −2.51858 1.98787i −0.120896 0.0954209i
\(435\) −14.0573 + 6.76966i −0.673998 + 0.324580i
\(436\) −0.448176 5.98050i −0.0214637 0.286414i
\(437\) −14.2731 4.40268i −0.682777 0.210609i
\(438\) 2.24029 1.52741i 0.107045 0.0729823i
\(439\) 10.7409 + 1.61893i 0.512636 + 0.0772675i 0.400266 0.916399i \(-0.368918\pi\)
0.112370 + 0.993666i \(0.464156\pi\)
\(440\) 0.485825 0.0231608
\(441\) 1.28994 3.38643i 0.0614256 0.161259i
\(442\) 0.824610 0.0392227
\(443\) 17.5190 + 2.64056i 0.832351 + 0.125457i 0.551374 0.834258i \(-0.314104\pi\)
0.280976 + 0.959715i \(0.409342\pi\)
\(444\) 19.6361 13.3877i 0.931889 0.635351i
\(445\) 3.16844 + 0.977335i 0.150199 + 0.0463301i
\(446\) 0.310401 + 4.14201i 0.0146979 + 0.196130i
\(447\) −9.39923 + 4.52643i −0.444568 + 0.214093i
\(448\) −13.8029 + 11.1214i −0.652126 + 0.525438i
\(449\) 35.2892 + 16.9944i 1.66540 + 0.802014i 0.998376 + 0.0569761i \(0.0181459\pi\)
0.667023 + 0.745037i \(0.267568\pi\)
\(450\) −0.0801567 + 0.204236i −0.00377862 + 0.00962778i
\(451\) 0.0412685 0.550690i 0.00194326 0.0259310i
\(452\) 3.03462 + 7.73210i 0.142737 + 0.363687i
\(453\) 1.52012 0.468896i 0.0714217 0.0220307i
\(454\) 2.71678 3.40673i 0.127505 0.159886i
\(455\) −2.64652 + 3.92396i −0.124071 + 0.183958i
\(456\) −2.80814 3.52130i −0.131503 0.164900i
\(457\) 25.6270 + 17.4722i 1.19878 + 0.817316i 0.987113 0.160026i \(-0.0511577\pi\)
0.211669 + 0.977341i \(0.432110\pi\)
\(458\) 1.51482 + 1.40555i 0.0707830 + 0.0656771i
\(459\) −9.70394 + 16.8077i −0.452941 + 0.784517i
\(460\) −8.44164 14.6213i −0.393593 0.681724i
\(461\) 1.26275 5.53249i 0.0588123 0.257674i −0.936971 0.349406i \(-0.886383\pi\)
0.995784 + 0.0917326i \(0.0292405\pi\)
\(462\) −0.194144 + 0.211359i −0.00903241 + 0.00983330i
\(463\) 5.56543 + 24.3837i 0.258647 + 1.13321i 0.922699 + 0.385522i \(0.125979\pi\)
−0.664051 + 0.747687i \(0.731164\pi\)
\(464\) 14.8943 13.8199i 0.691450 0.641571i
\(465\) −14.3531 + 2.16338i −0.665609 + 0.100324i
\(466\) −6.48503 + 0.977461i −0.300413 + 0.0452800i
\(467\) 6.45843 5.99254i 0.298860 0.277302i −0.516461 0.856311i \(-0.672751\pi\)
0.815321 + 0.579009i \(0.196560\pi\)
\(468\) 0.224004 + 0.981423i 0.0103546 + 0.0453663i
\(469\) 19.7027 + 11.2437i 0.909784 + 0.519184i
\(470\) −1.02933 + 4.50980i −0.0474796 + 0.208022i
\(471\) 12.4256 + 21.5218i 0.572543 + 0.991673i
\(472\) −3.81872 + 6.61421i −0.175771 + 0.304444i
\(473\) −0.646450 0.599818i −0.0297238 0.0275797i
\(474\) 1.64280 + 1.12004i 0.0754563 + 0.0514453i
\(475\) −3.45348 4.33053i −0.158457 0.198698i
\(476\) 15.5569 9.08636i 0.713050 0.416473i
\(477\) −2.10224 + 2.63613i −0.0962550 + 0.120700i
\(478\) 3.77325 1.16389i 0.172585 0.0532353i
\(479\) 1.23977 + 3.15889i 0.0566467 + 0.144333i 0.956395 0.292075i \(-0.0943456\pi\)
−0.899749 + 0.436408i \(0.856250\pi\)
\(480\) 0.573334 7.65060i 0.0261690 0.349201i
\(481\) −2.83401 + 7.22093i −0.129220 + 0.329246i
\(482\) 0.946555 + 0.455837i 0.0431144 + 0.0207628i
\(483\) 19.7465 + 4.40270i 0.898498 + 0.200330i
\(484\) −19.1220 + 9.20867i −0.869182 + 0.418576i
\(485\) −2.12393 28.3419i −0.0964427 1.28694i
\(486\) 1.19621 + 0.368981i 0.0542611 + 0.0167373i
\(487\) 1.01611 0.692772i 0.0460443 0.0313925i −0.540079 0.841614i \(-0.681606\pi\)
0.586124 + 0.810222i \(0.300653\pi\)
\(488\) 10.8238 + 1.63143i 0.489972 + 0.0738514i
\(489\) −24.1640 −1.09273
\(490\) 0.190789 2.94261i 0.00861895 0.132934i
\(491\) 9.80078 0.442303 0.221151 0.975239i \(-0.429019\pi\)
0.221151 + 0.975239i \(0.429019\pi\)
\(492\) −5.72210 0.862468i −0.257972 0.0388831i
\(493\) −16.0167 + 10.9200i −0.721357 + 0.491813i
\(494\) 0.692512 + 0.213612i 0.0311576 + 0.00961084i
\(495\) −0.0202342 0.270007i −0.000909462 0.0121359i
\(496\) 17.0304 8.20141i 0.764688 0.368254i
\(497\) −33.5356 + 7.83184i −1.50428 + 0.351306i
\(498\) 4.95545 + 2.38642i 0.222059 + 0.106938i
\(499\) −10.0080 + 25.5000i −0.448020 + 1.14154i 0.511347 + 0.859375i \(0.329147\pi\)
−0.959367 + 0.282162i \(0.908948\pi\)
\(500\) 1.76766 23.5878i 0.0790522 1.05488i
\(501\) 4.63856 + 11.8189i 0.207236 + 0.528028i
\(502\) −0.841610 + 0.259602i −0.0375629 + 0.0115866i
\(503\) −2.73006 + 3.42339i −0.121727 + 0.152641i −0.838961 0.544191i \(-0.816837\pi\)
0.717234 + 0.696833i \(0.245408\pi\)
\(504\) −0.870017 0.928253i −0.0387536 0.0413477i
\(505\) 3.02420 + 3.79222i 0.134575 + 0.168752i
\(506\) 0.276087 + 0.188233i 0.0122736 + 0.00836798i
\(507\) 1.15495 + 1.07164i 0.0512931 + 0.0475931i
\(508\) −19.3694 + 33.5487i −0.859376 + 1.48848i
\(509\) −0.0488410 0.0845950i −0.00216484 0.00374961i 0.864941 0.501874i \(-0.167356\pi\)
−0.867106 + 0.498124i \(0.834022\pi\)
\(510\) −0.517175 + 2.26589i −0.0229009 + 0.100335i
\(511\) 2.97794 + 19.1052i 0.131736 + 0.845164i
\(512\) 3.74045 + 16.3880i 0.165306 + 0.724253i
\(513\) −12.5034 + 11.6014i −0.552038 + 0.512216i
\(514\) −5.06224 + 0.763010i −0.223286 + 0.0336549i
\(515\) −29.3978 + 4.43101i −1.29542 + 0.195254i
\(516\) −6.77401 + 6.28536i −0.298209 + 0.276698i
\(517\) 0.714409 + 3.13003i 0.0314197 + 0.137659i
\(518\) −0.744320 4.77524i −0.0327036 0.209812i
\(519\) 7.17936 31.4548i 0.315139 1.38071i
\(520\) 0.830831 + 1.43904i 0.0364344 + 0.0631062i
\(521\) 17.4623 30.2457i 0.765039 1.32509i −0.175187 0.984535i \(-0.556053\pi\)
0.940226 0.340551i \(-0.110614\pi\)
\(522\) 0.494688 + 0.459003i 0.0216519 + 0.0200900i
\(523\) 4.37468 + 2.98261i 0.191291 + 0.130420i 0.655179 0.755474i \(-0.272593\pi\)
−0.463887 + 0.885894i \(0.653546\pi\)
\(524\) −8.78921 11.0213i −0.383959 0.481469i
\(525\) 5.13048 + 5.47390i 0.223913 + 0.238900i
\(526\) −0.250450 + 0.314055i −0.0109202 + 0.0136934i
\(527\) −17.2330 + 5.31569i −0.750683 + 0.231555i
\(528\) −0.617694 1.57386i −0.0268817 0.0684934i
\(529\) 0.0415288 0.554163i 0.00180560 0.0240941i
\(530\) −1.00238 + 2.55402i −0.0435406 + 0.110940i
\(531\) 3.83503 + 1.84685i 0.166426 + 0.0801466i
\(532\) 15.4186 3.60083i 0.668479 0.156116i
\(533\) 1.70175 0.819520i 0.0737110 0.0354974i
\(534\) 0.0513892 + 0.685742i 0.00222383 + 0.0296750i
\(535\) −17.9315 5.53114i −0.775247 0.239132i
\(536\) 6.58038 4.48643i 0.284229 0.193784i
\(537\) 15.6170 + 2.35388i 0.673921 + 0.101577i
\(538\) 2.88771 0.124498
\(539\) −0.766826 1.89752i −0.0330295 0.0817320i
\(540\) −19.2794 −0.829654
\(541\) 10.3191 + 1.55535i 0.443651 + 0.0668696i 0.367069 0.930194i \(-0.380361\pi\)
0.0765819 + 0.997063i \(0.475599\pi\)
\(542\) −0.214268 + 0.146085i −0.00920359 + 0.00627490i
\(543\) 11.1928 + 3.45252i 0.480329 + 0.148162i
\(544\) −0.712331 9.50540i −0.0305409 0.407541i
\(545\) −4.97089 + 2.39385i −0.212929 + 0.102541i
\(546\) −0.958073 0.213613i −0.0410017 0.00914177i
\(547\) −27.4149 13.2023i −1.17218 0.564491i −0.256554 0.966530i \(-0.582587\pi\)
−0.915622 + 0.402039i \(0.868302\pi\)
\(548\) −10.3699 + 26.4222i −0.442982 + 1.12870i
\(549\) 0.455897 6.08352i 0.0194572 0.259638i
\(550\) 0.0452701 + 0.115346i 0.00193032 + 0.00491838i
\(551\) −16.2797 + 5.02162i −0.693539 + 0.213928i
\(552\) 4.42853 5.55320i 0.188491 0.236360i
\(553\) −12.2435 + 7.15111i −0.520648 + 0.304096i
\(554\) −1.90749 2.39191i −0.0810413 0.101623i
\(555\) −18.0645 12.3162i −0.766796 0.522793i
\(556\) −26.7595 24.8292i −1.13485 1.05299i
\(557\) 7.01782 12.1552i 0.297355 0.515033i −0.678175 0.734900i \(-0.737229\pi\)
0.975530 + 0.219867i \(0.0705623\pi\)
\(558\) 0.313904 + 0.543698i 0.0132886 + 0.0230166i
\(559\) 0.671173 2.94060i 0.0283876 0.124374i
\(560\) 15.0880 + 8.61023i 0.637585 + 0.363849i
\(561\) 0.358946 + 1.57264i 0.0151547 + 0.0663971i
\(562\) 0.941001 0.873121i 0.0396937 0.0368304i
\(563\) −14.1432 + 2.13174i −0.596065 + 0.0898423i −0.440144 0.897927i \(-0.645073\pi\)
−0.155921 + 0.987770i \(0.549834\pi\)
\(564\) 33.2666 5.01414i 1.40078 0.211133i
\(565\) 5.60160 5.19752i 0.235661 0.218661i
\(566\) −0.0497383 0.217918i −0.00209066 0.00915977i
\(567\) 12.8489 13.9881i 0.539601 0.587447i
\(568\) −2.69037 + 11.7873i −0.112886 + 0.494584i
\(569\) 1.30051 + 2.25254i 0.0545201 + 0.0944315i 0.891997 0.452041i \(-0.149304\pi\)
−0.837477 + 0.546472i \(0.815970\pi\)
\(570\) −1.02130 + 1.76894i −0.0427774 + 0.0740926i
\(571\) −8.80408 8.16899i −0.368439 0.341862i 0.474125 0.880458i \(-0.342765\pi\)
−0.842564 + 0.538596i \(0.818955\pi\)
\(572\) 0.469744 + 0.320266i 0.0196410 + 0.0133910i
\(573\) 19.0457 + 23.8826i 0.795647 + 0.997709i
\(574\) −0.658002 + 0.975612i −0.0274645 + 0.0407213i
\(575\) 5.44625 6.82939i 0.227124 0.284805i
\(576\) 3.31427 1.02232i 0.138094 0.0425965i
\(577\) −1.69650 4.32260i −0.0706260 0.179952i 0.891202 0.453606i \(-0.149863\pi\)
−0.961828 + 0.273654i \(0.911768\pi\)
\(578\) 0.0833651 1.11243i 0.00346753 0.0462710i
\(579\) 3.84904 9.80719i 0.159961 0.407573i
\(580\) −17.3498 8.35521i −0.720410 0.346931i
\(581\) −30.5422 + 24.6088i −1.26711 + 1.02095i
\(582\) 5.31067 2.55748i 0.220134 0.106011i
\(583\) 0.142305 + 1.89893i 0.00589367 + 0.0786456i
\(584\) 6.48682 + 2.00092i 0.268427 + 0.0827986i
\(585\) 0.765174 0.521687i 0.0316361 0.0215691i
\(586\) 1.95049 + 0.293990i 0.0805742 + 0.0121446i
\(587\) −5.74696 −0.237202 −0.118601 0.992942i \(-0.537841\pi\)
−0.118601 + 0.992942i \(0.537841\pi\)
\(588\) −20.4286 + 6.52702i −0.842460 + 0.269170i
\(589\) −15.8494 −0.653064
\(590\) 3.42501 + 0.516237i 0.141005 + 0.0212531i
\(591\) −3.22372 + 2.19789i −0.132606 + 0.0904092i
\(592\) 27.2067 + 8.39216i 1.11819 + 0.344915i
\(593\) 3.51382 + 46.8887i 0.144295 + 1.92549i 0.332035 + 0.943267i \(0.392265\pi\)
−0.187739 + 0.982219i \(0.560116\pi\)
\(594\) 0.343786 0.165558i 0.0141057 0.00679295i
\(595\) −13.0100 10.2685i −0.533357 0.420969i
\(596\) −11.6007 5.58658i −0.475181 0.228835i
\(597\) −5.18323 + 13.2067i −0.212136 + 0.540513i
\(598\) −0.0854082 + 1.13969i −0.00349260 + 0.0466055i
\(599\) 6.76249 + 17.2306i 0.276308 + 0.704021i 0.999905 + 0.0137984i \(0.00439229\pi\)
−0.723597 + 0.690223i \(0.757512\pi\)
\(600\) 2.51690 0.776361i 0.102752 0.0316948i
\(601\) −9.21283 + 11.5525i −0.375799 + 0.471237i −0.933382 0.358884i \(-0.883157\pi\)
0.557583 + 0.830121i \(0.311729\pi\)
\(602\) 0.562918 + 1.79289i 0.0229428 + 0.0730727i
\(603\) −2.76749 3.47033i −0.112701 0.141323i
\(604\) 1.62223 + 1.10601i 0.0660074 + 0.0450031i
\(605\) 14.3129 + 13.2805i 0.581904 + 0.539928i
\(606\) −0.502974 + 0.871177i −0.0204319 + 0.0353891i
\(607\) −12.5142 21.6753i −0.507936 0.879771i −0.999958 0.00918842i \(-0.997075\pi\)
0.492021 0.870583i \(-0.336258\pi\)
\(608\) 1.86411 8.16721i 0.0755997 0.331224i
\(609\) 21.4378 8.53833i 0.868704 0.345991i
\(610\) −1.10464 4.83976i −0.0447257 0.195956i
\(611\) −8.04960 + 7.46893i −0.325652 + 0.302161i
\(612\) −3.48577 + 0.525395i −0.140904 + 0.0212378i
\(613\) 19.1338 2.88396i 0.772808 0.116482i 0.249212 0.968449i \(-0.419828\pi\)
0.523596 + 0.851967i \(0.324590\pi\)
\(614\) −2.48717 + 2.30775i −0.100374 + 0.0931334i
\(615\) 1.18461 + 5.19011i 0.0477681 + 0.209286i
\(616\) −0.716772 0.0500926i −0.0288796 0.00201829i
\(617\) −9.64312 + 42.2493i −0.388217 + 1.70089i 0.282574 + 0.959245i \(0.408812\pi\)
−0.670792 + 0.741646i \(0.734046\pi\)
\(618\) −3.08289 5.33972i −0.124012 0.214795i
\(619\) −5.82478 + 10.0888i −0.234118 + 0.405504i −0.959016 0.283352i \(-0.908553\pi\)
0.724898 + 0.688856i \(0.241887\pi\)
\(620\) −13.1325 12.1852i −0.527416 0.489370i
\(621\) −22.2249 15.1527i −0.891853 0.608055i
\(622\) −3.79162 4.75454i −0.152030 0.190640i
\(623\) −4.57386 1.76862i −0.183248 0.0708584i
\(624\) 3.60552 4.52117i 0.144336 0.180992i
\(625\) −12.1949 + 3.76162i −0.487795 + 0.150465i
\(626\) −2.07770 5.29389i −0.0830416 0.211586i
\(627\) −0.105942 + 1.41370i −0.00423092 + 0.0564577i
\(628\) −11.2057 + 28.5515i −0.447154 + 1.13933i
\(629\) −24.4740 11.7861i −0.975843 0.469941i
\(630\) −0.247725 + 0.521092i −0.00986961 + 0.0207608i
\(631\) −7.91500 + 3.81167i −0.315091 + 0.151740i −0.584744 0.811218i \(-0.698805\pi\)
0.269653 + 0.962958i \(0.413091\pi\)
\(632\) 0.372001 + 4.96400i 0.0147974 + 0.197457i
\(633\) −29.5081 9.10206i −1.17284 0.361774i
\(634\) −1.13838 + 0.776136i −0.0452109 + 0.0308243i
\(635\) 35.2402 + 5.31160i 1.39846 + 0.210785i
\(636\) 19.9543 0.791238
\(637\) 4.30919 5.51642i 0.170736 0.218569i
\(638\) 0.381125 0.0150889
\(639\) 6.66308 + 1.00430i 0.263588 + 0.0397294i
\(640\) 10.3786 7.07602i 0.410251 0.279704i
\(641\) −47.4308 14.6305i −1.87340 0.577868i −0.994991 0.0999624i \(-0.968128\pi\)
−0.878411 0.477906i \(-0.841396\pi\)
\(642\) −0.290833 3.88090i −0.0114783 0.153167i
\(643\) −34.4622 + 16.5961i −1.35906 + 0.654488i −0.964426 0.264352i \(-0.914842\pi\)
−0.394631 + 0.918840i \(0.629128\pi\)
\(644\) 10.9470 + 22.4423i 0.431371 + 0.884351i
\(645\) 7.65935 + 3.68855i 0.301586 + 0.145236i
\(646\) −0.927160 + 2.36236i −0.0364786 + 0.0929460i
\(647\) 0.693875 9.25912i 0.0272790 0.364014i −0.966814 0.255482i \(-0.917766\pi\)
0.994093 0.108532i \(-0.0346150\pi\)
\(648\) −2.43620 6.20733i −0.0957029 0.243847i
\(649\) 2.29718 0.708585i 0.0901721 0.0278144i
\(650\) −0.264244 + 0.331352i −0.0103645 + 0.0129967i
\(651\) 21.3992 1.71187i 0.838702 0.0670934i
\(652\) −18.5947 23.3170i −0.728224 0.913163i
\(653\) 36.3590 + 24.7891i 1.42284 + 0.970073i 0.997895 + 0.0648525i \(0.0206577\pi\)
0.424941 + 0.905221i \(0.360295\pi\)
\(654\) −0.838791 0.778284i −0.0327993 0.0304333i
\(655\) −6.48428 + 11.2311i −0.253362 + 0.438835i
\(656\) −3.46630 6.00380i −0.135336 0.234409i
\(657\) 0.841881 3.68852i 0.0328449 0.143903i
\(658\) 1.98365 6.54750i 0.0773306 0.255248i
\(659\) 3.73000 + 16.3422i 0.145300 + 0.636601i 0.994154 + 0.107973i \(0.0344361\pi\)
−0.848854 + 0.528628i \(0.822707\pi\)
\(660\) −1.17465 + 1.08992i −0.0457232 + 0.0424249i
\(661\) 7.54666 1.13748i 0.293531 0.0442427i −0.000625893 1.00000i \(-0.500199\pi\)
0.294157 + 0.955757i \(0.404961\pi\)
\(662\) 3.13888 0.473111i 0.121996 0.0183880i
\(663\) −4.04442 + 3.75267i −0.157072 + 0.145742i
\(664\) 3.06417 + 13.4250i 0.118913 + 0.520991i
\(665\) −8.26583 11.9938i −0.320535 0.465098i
\(666\) −0.210424 + 0.921926i −0.00815375 + 0.0357239i
\(667\) −13.4336 23.2677i −0.520152 0.900930i
\(668\) −7.83511 + 13.5708i −0.303149 + 0.525070i
\(669\) −20.3720 18.9025i −0.787629 0.730813i
\(670\) −2.98430 2.03466i −0.115294 0.0786059i
\(671\) −2.14819 2.69374i −0.0829298 0.103991i
\(672\) −1.63472 + 11.2284i −0.0630607 + 0.433144i
\(673\) −6.30233 + 7.90287i −0.242937 + 0.304633i −0.888319 0.459226i \(-0.848127\pi\)
0.645382 + 0.763860i \(0.276698\pi\)
\(674\) −1.52395 + 0.470075i −0.0587002 + 0.0181066i
\(675\) −3.64422 9.28531i −0.140266 0.357392i
\(676\) −0.145316 + 1.93911i −0.00558909 + 0.0745812i
\(677\) −4.52498 + 11.5295i −0.173909 + 0.443113i −0.991078 0.133285i \(-0.957447\pi\)
0.817168 + 0.576399i \(0.195543\pi\)
\(678\) 1.42785 + 0.687615i 0.0548362 + 0.0264077i
\(679\) 0.211304 + 42.0338i 0.00810910 + 1.61311i
\(680\) −5.24258 + 2.52470i −0.201044 + 0.0968177i
\(681\) 2.17868 + 29.0724i 0.0834871 + 1.11406i
\(682\) 0.338815 + 0.104510i 0.0129739 + 0.00400191i
\(683\) 16.2646 11.0891i 0.622350 0.424311i −0.210668 0.977558i \(-0.567564\pi\)
0.833017 + 0.553247i \(0.186611\pi\)
\(684\) −3.06347 0.461744i −0.117135 0.0176552i
\(685\) 26.1125 0.997707
\(686\) −0.584892 + 4.32177i −0.0223313 + 0.165006i
\(687\) −13.8261 −0.527499
\(688\) −10.9470 1.65000i −0.417351 0.0629055i
\(689\) −5.38138 + 3.66896i −0.205014 + 0.139776i
\(690\) −3.07812 0.949475i −0.117182 0.0361459i
\(691\) −1.53426 20.4733i −0.0583660 0.778840i −0.947207 0.320624i \(-0.896108\pi\)
0.888841 0.458216i \(-0.151512\pi\)
\(692\) 35.8769 17.2774i 1.36384 0.656789i
\(693\) 0.00201305 + 0.400447i 7.64694e−5 + 0.0152117i
\(694\) −0.219583 0.105745i −0.00833524 0.00401404i
\(695\) −12.2691 + 31.2611i −0.465393 + 1.18580i
\(696\) 0.605414 8.07869i 0.0229482 0.306222i
\(697\) 2.41645 + 6.15701i 0.0915295 + 0.233213i
\(698\) −5.98384 + 1.84577i −0.226492 + 0.0698634i
\(699\) 27.3585 34.3064i 1.03479 1.29759i
\(700\) −1.33401 + 9.16292i −0.0504210 + 0.346326i
\(701\) −3.29003 4.12556i −0.124263 0.155820i 0.715809 0.698297i \(-0.246058\pi\)
−0.840071 + 0.542476i \(0.817487\pi\)
\(702\) 1.07832 + 0.735185i 0.0406985 + 0.0277478i
\(703\) −17.5003 16.2379i −0.660035 0.612423i
\(704\) 0.979411 1.69639i 0.0369129 0.0639351i
\(705\) −15.4749 26.8033i −0.582818 1.00947i
\(706\) 0.786905 3.44766i 0.0296156 0.129754i
\(707\) −4.07081 5.90676i −0.153098 0.222147i
\(708\) −5.60547 24.5592i −0.210667 0.922991i
\(709\) 4.17801 3.87662i 0.156908 0.145590i −0.597812 0.801636i \(-0.703963\pi\)
0.754720 + 0.656047i \(0.227773\pi\)
\(710\) 5.42195 0.817228i 0.203482 0.0306700i
\(711\) 2.74336 0.413494i 0.102884 0.0155072i
\(712\) −1.26206 + 1.17102i −0.0472977 + 0.0438859i
\(713\) −5.56192 24.3684i −0.208296 0.912602i
\(714\) 0.996658 3.28971i 0.0372990 0.123114i
\(715\) 0.116385 0.509916i 0.00435255 0.0190698i
\(716\) 9.74619 + 16.8809i 0.364232 + 0.630868i
\(717\) −13.2098 + 22.8800i −0.493327 + 0.854468i
\(718\) −3.45014 3.20126i −0.128758 0.119470i
\(719\) 28.2677 + 19.2726i 1.05421 + 0.718747i 0.960902 0.276890i \(-0.0893037\pi\)
0.0933073 + 0.995637i \(0.470256\pi\)
\(720\) −2.11931 2.65753i −0.0789819 0.0990401i
\(721\) 43.8296 3.50623i 1.63230 0.130579i
\(722\) 1.39899 1.75427i 0.0520649 0.0652873i
\(723\) −6.71695 + 2.07191i −0.249806 + 0.0770550i
\(724\) 5.28158 + 13.4572i 0.196288 + 0.500134i
\(725\) 0.744545 9.93527i 0.0276517 0.368987i
\(726\) −1.47941 + 3.76947i −0.0549059 + 0.139898i
\(727\) 16.6536 + 8.01993i 0.617646 + 0.297443i 0.716422 0.697667i \(-0.245778\pi\)
−0.0987759 + 0.995110i \(0.531493\pi\)
\(728\) −1.07741 2.20879i −0.0399314 0.0818631i
\(729\) −26.9502 + 12.9785i −0.998155 + 0.480686i
\(730\) −0.230068 3.07004i −0.00851519 0.113627i
\(731\) 10.0930 + 3.11328i 0.373303 + 0.115149i
\(732\) −29.8304 + 20.3380i −1.10256 + 0.751714i
\(733\) 32.5306 + 4.90319i 1.20154 + 0.181104i 0.719152 0.694852i \(-0.244530\pi\)
0.482391 + 0.875956i \(0.339768\pi\)
\(734\) −2.67490 −0.0987324
\(735\) 12.4556 + 15.3007i 0.459432 + 0.564375i
\(736\) 13.2112 0.486971
\(737\) −2.47885 0.373627i −0.0913097 0.0137627i
\(738\) 0.190245 0.129707i 0.00700301 0.00477457i
\(739\) 11.7115 + 3.61251i 0.430814 + 0.132888i 0.502575 0.864533i \(-0.332386\pi\)
−0.0717616 + 0.997422i \(0.522862\pi\)
\(740\) −2.01654 26.9088i −0.0741294 0.989189i
\(741\) −4.36863 + 2.10382i −0.160486 + 0.0772859i
\(742\) 1.74222 3.66478i 0.0639590 0.134538i
\(743\) −25.9634 12.5033i −0.952504 0.458702i −0.107940 0.994157i \(-0.534426\pi\)
−0.844563 + 0.535456i \(0.820140\pi\)
\(744\) 2.75351 7.01582i 0.100948 0.257212i
\(745\) −0.885196 + 11.8121i −0.0324311 + 0.432762i
\(746\) −0.707262 1.80207i −0.0258947 0.0659786i
\(747\) 7.33360 2.26212i 0.268323 0.0827665i
\(748\) −1.24130 + 1.55654i −0.0453865 + 0.0569129i
\(749\) 25.8854 + 10.0094i 0.945830 + 0.365735i
\(750\) −2.81383 3.52844i −0.102747 0.128840i
\(751\) −32.2304 21.9743i −1.17610 0.801855i −0.192342 0.981328i \(-0.561608\pi\)
−0.983763 + 0.179473i \(0.942561\pi\)
\(752\) 29.5450 + 27.4137i 1.07739 + 0.999676i
\(753\) 2.94638 5.10329i 0.107372 0.185974i
\(754\) 0.651780 + 1.12892i 0.0237364 + 0.0411127i
\(755\) 0.401927 1.76096i 0.0146276 0.0640878i
\(756\) 28.4443 + 1.98787i 1.03451 + 0.0722980i
\(757\) 5.46636 + 23.9497i 0.198678 + 0.870467i 0.971725 + 0.236117i \(0.0758748\pi\)
−0.773046 + 0.634350i \(0.781268\pi\)
\(758\) 5.83441 5.41354i 0.211915 0.196629i
\(759\) −2.21073 + 0.333214i −0.0802444 + 0.0120949i
\(760\) −5.05676 + 0.762184i −0.183428 + 0.0276473i
\(761\) −30.5491 + 28.3455i −1.10741 + 1.02752i −0.107962 + 0.994155i \(0.534433\pi\)
−0.999443 + 0.0333673i \(0.989377\pi\)
\(762\) 1.64468 + 7.20582i 0.0595805 + 0.261039i
\(763\) 7.58073 3.01928i 0.274441 0.109305i
\(764\) −8.38937 + 36.7562i −0.303517 + 1.32979i
\(765\) 1.62150 + 2.80852i 0.0586255 + 0.101542i
\(766\) 1.32498 2.29493i 0.0478734 0.0829191i
\(767\) 6.02738 + 5.59259i 0.217636 + 0.201937i
\(768\) −15.2906 10.4249i −0.551752 0.376178i
\(769\) 5.28998 + 6.63343i 0.190762 + 0.239208i 0.868010 0.496547i \(-0.165399\pi\)
−0.677248 + 0.735755i \(0.736828\pi\)
\(770\) 0.0976131 + 0.310896i 0.00351773 + 0.0112039i
\(771\) 21.3561 26.7797i 0.769122 0.964449i
\(772\) 12.4253 3.83271i 0.447197 0.137942i
\(773\) 1.57345 + 4.00909i