Properties

Label 192.2.s.a.107.20
Level $192$
Weight $2$
Character 192.107
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 107.20
Character \(\chi\) \(=\) 192.107
Dual form 192.2.s.a.131.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.486023 - 1.32807i) q^{2} +(1.18349 + 1.26466i) q^{3} +(-1.52756 - 1.29095i) q^{4} +(-1.96325 - 2.93821i) q^{5} +(2.25476 - 0.957103i) q^{6} +(1.41332 - 3.41205i) q^{7} +(-2.45691 + 1.40129i) q^{8} +(-0.198726 + 2.99341i) q^{9} +O(q^{10})\) \(q+(0.486023 - 1.32807i) q^{2} +(1.18349 + 1.26466i) q^{3} +(-1.52756 - 1.29095i) q^{4} +(-1.96325 - 2.93821i) q^{5} +(2.25476 - 0.957103i) q^{6} +(1.41332 - 3.41205i) q^{7} +(-2.45691 + 1.40129i) q^{8} +(-0.198726 + 2.99341i) q^{9} +(-4.85635 + 1.17930i) q^{10} +(1.35426 + 0.269378i) q^{11} +(-0.175237 - 3.45967i) q^{12} +(3.69962 + 2.47201i) q^{13} +(-3.84455 - 3.53533i) q^{14} +(1.39236 - 5.96017i) q^{15} +(0.666898 + 3.94401i) q^{16} +(-1.07694 - 1.07694i) q^{17} +(3.87889 + 1.71879i) q^{18} +(2.55792 + 1.70915i) q^{19} +(-0.794095 + 7.02276i) q^{20} +(5.98772 - 2.25075i) q^{21} +(1.01595 - 1.66763i) q^{22} +(-0.348914 - 0.842354i) q^{23} +(-4.67986 - 1.44875i) q^{24} +(-2.86532 + 6.91750i) q^{25} +(5.08112 - 3.71192i) q^{26} +(-4.02083 + 3.29134i) q^{27} +(-6.56372 + 3.38760i) q^{28} +(1.64436 + 8.26676i) q^{29} +(-7.23884 - 4.74594i) q^{30} -7.50303 q^{31} +(5.56207 + 1.03119i) q^{32} +(1.26207 + 2.03148i) q^{33} +(-1.95367 + 0.906837i) q^{34} +(-12.8000 + 2.54608i) q^{35} +(4.16791 - 4.31608i) q^{36} +(-1.83441 - 2.74539i) q^{37} +(3.51308 - 2.56642i) q^{38} +(1.25220 + 7.60435i) q^{39} +(8.94080 + 4.46784i) q^{40} +(9.24158 - 3.82799i) q^{41} +(-0.0789866 - 9.04605i) q^{42} +(-2.87193 - 0.571263i) q^{43} +(-1.72096 - 2.15977i) q^{44} +(9.18543 - 5.29292i) q^{45} +(-1.28829 + 0.0539808i) q^{46} +(3.91043 - 3.91043i) q^{47} +(-4.19857 + 5.51108i) q^{48} +(-4.69487 - 4.69487i) q^{49} +(7.79434 + 7.16743i) q^{50} +(0.0874195 - 2.63650i) q^{51} +(-2.46017 - 8.55218i) q^{52} +(-0.750588 + 3.77346i) q^{53} +(2.41692 + 6.93963i) q^{54} +(-1.86725 - 4.50795i) q^{55} +(1.30887 + 10.3636i) q^{56} +(0.865771 + 5.25765i) q^{57} +(11.7781 + 1.83400i) q^{58} +(1.97738 - 1.32124i) q^{59} +(-9.82120 + 7.30708i) q^{60} +(2.15485 + 10.8331i) q^{61} +(-3.64665 + 9.96458i) q^{62} +(9.93280 + 4.90870i) q^{63} +(4.07280 - 6.88566i) q^{64} -15.7235i q^{65} +(3.31135 - 0.688778i) q^{66} +(1.15899 - 0.230537i) q^{67} +(0.254818 + 3.03536i) q^{68} +(0.652356 - 1.43817i) q^{69} +(-2.83972 + 18.2368i) q^{70} +(-7.50045 - 3.10679i) q^{71} +(-3.70637 - 7.63301i) q^{72} +(-3.51016 + 1.45396i) q^{73} +(-4.53765 + 1.10191i) q^{74} +(-12.1393 + 4.56310i) q^{75} +(-1.70096 - 5.91297i) q^{76} +(2.83313 - 4.24007i) q^{77} +(10.7077 + 2.03288i) q^{78} +(8.03113 - 8.03113i) q^{79} +(10.2791 - 9.70258i) q^{80} +(-8.92102 - 1.18974i) q^{81} +(-0.592231 - 14.1340i) q^{82} +(2.45014 - 3.66690i) q^{83} +(-12.0522 - 4.29169i) q^{84} +(-1.04997 + 5.27857i) q^{85} +(-2.15450 + 3.53649i) q^{86} +(-8.50856 + 11.8631i) q^{87} +(-3.70476 + 1.23586i) q^{88} +(0.100607 + 0.0416728i) q^{89} +(-2.56506 - 14.7714i) q^{90} +(13.6634 - 9.12957i) q^{91} +(-0.554448 + 1.73718i) q^{92} +(-8.87972 - 9.48878i) q^{93} +(-3.29278 - 7.09391i) q^{94} -10.8712i q^{95} +(5.27852 + 8.25453i) q^{96} +12.5267i q^{97} +(-8.51695 + 3.95332i) q^{98} +(-1.07549 + 4.00031i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.486023 1.32807i 0.343670 0.939090i
\(3\) 1.18349 + 1.26466i 0.683285 + 0.730151i
\(4\) −1.52756 1.29095i −0.763782 0.645475i
\(5\) −1.96325 2.93821i −0.877993 1.31401i −0.948591 0.316504i \(-0.897491\pi\)
0.0705987 0.997505i \(-0.477509\pi\)
\(6\) 2.25476 0.957103i 0.920503 0.390735i
\(7\) 1.41332 3.41205i 0.534184 1.28963i −0.394546 0.918876i \(-0.629098\pi\)
0.928730 0.370757i \(-0.120902\pi\)
\(8\) −2.45691 + 1.40129i −0.868648 + 0.495429i
\(9\) −0.198726 + 2.99341i −0.0662420 + 0.997804i
\(10\) −4.85635 + 1.17930i −1.53571 + 0.372929i
\(11\) 1.35426 + 0.269378i 0.408324 + 0.0812206i 0.394979 0.918690i \(-0.370752\pi\)
0.0133450 + 0.999911i \(0.495752\pi\)
\(12\) −0.175237 3.45967i −0.0505864 0.998720i
\(13\) 3.69962 + 2.47201i 1.02609 + 0.685612i 0.950244 0.311507i \(-0.100834\pi\)
0.0758473 + 0.997119i \(0.475834\pi\)
\(14\) −3.84455 3.53533i −1.02750 0.944856i
\(15\) 1.39236 5.96017i 0.359506 1.53891i
\(16\) 0.666898 + 3.94401i 0.166724 + 0.986004i
\(17\) −1.07694 1.07694i −0.261196 0.261196i 0.564344 0.825540i \(-0.309129\pi\)
−0.825540 + 0.564344i \(0.809129\pi\)
\(18\) 3.87889 + 1.71879i 0.914262 + 0.405123i
\(19\) 2.55792 + 1.70915i 0.586827 + 0.392105i 0.813242 0.581926i \(-0.197701\pi\)
−0.226415 + 0.974031i \(0.572701\pi\)
\(20\) −0.794095 + 7.02276i −0.177565 + 1.57034i
\(21\) 5.98772 2.25075i 1.30663 0.491153i
\(22\) 1.01595 1.66763i 0.216602 0.355540i
\(23\) −0.348914 0.842354i −0.0727537 0.175643i 0.883319 0.468772i \(-0.155303\pi\)
−0.956073 + 0.293129i \(0.905303\pi\)
\(24\) −4.67986 1.44875i −0.955273 0.295725i
\(25\) −2.86532 + 6.91750i −0.573065 + 1.38350i
\(26\) 5.08112 3.71192i 0.996489 0.727968i
\(27\) −4.02083 + 3.29134i −0.773810 + 0.633418i
\(28\) −6.56372 + 3.38760i −1.24043 + 0.640196i
\(29\) 1.64436 + 8.26676i 0.305350 + 1.53510i 0.763255 + 0.646097i \(0.223600\pi\)
−0.457905 + 0.889001i \(0.651400\pi\)
\(30\) −7.23884 4.74594i −1.32162 0.866486i
\(31\) −7.50303 −1.34758 −0.673792 0.738921i \(-0.735336\pi\)
−0.673792 + 0.738921i \(0.735336\pi\)
\(32\) 5.56207 + 1.03119i 0.983245 + 0.182291i
\(33\) 1.26207 + 2.03148i 0.219698 + 0.353635i
\(34\) −1.95367 + 0.906837i −0.335052 + 0.155521i
\(35\) −12.8000 + 2.54608i −2.16360 + 0.430367i
\(36\) 4.16791 4.31608i 0.694652 0.719346i
\(37\) −1.83441 2.74539i −0.301576 0.451340i 0.649471 0.760386i \(-0.274990\pi\)
−0.951047 + 0.309046i \(0.899990\pi\)
\(38\) 3.51308 2.56642i 0.569897 0.416329i
\(39\) 1.25220 + 7.60435i 0.200512 + 1.21767i
\(40\) 8.94080 + 4.46784i 1.41367 + 0.706428i
\(41\) 9.24158 3.82799i 1.44329 0.597831i 0.482698 0.875787i \(-0.339657\pi\)
0.960594 + 0.277956i \(0.0896569\pi\)
\(42\) −0.0789866 9.04605i −0.0121879 1.39584i
\(43\) −2.87193 0.571263i −0.437966 0.0871168i −0.0288173 0.999585i \(-0.509174\pi\)
−0.409148 + 0.912468i \(0.634174\pi\)
\(44\) −1.72096 2.15977i −0.259444 0.325597i
\(45\) 9.18543 5.29292i 1.36928 0.789022i
\(46\) −1.28829 + 0.0539808i −0.189948 + 0.00795903i
\(47\) 3.91043 3.91043i 0.570395 0.570395i −0.361844 0.932239i \(-0.617853\pi\)
0.932239 + 0.361844i \(0.117853\pi\)
\(48\) −4.19857 + 5.51108i −0.606011 + 0.795456i
\(49\) −4.69487 4.69487i −0.670696 0.670696i
\(50\) 7.79434 + 7.16743i 1.10229 + 1.01363i
\(51\) 0.0874195 2.63650i 0.0122412 0.369184i
\(52\) −2.46017 8.55218i −0.341164 1.18597i
\(53\) −0.750588 + 3.77346i −0.103101 + 0.518325i 0.894375 + 0.447319i \(0.147621\pi\)
−0.997476 + 0.0710061i \(0.977379\pi\)
\(54\) 2.41692 + 6.93963i 0.328901 + 0.944364i
\(55\) −1.86725 4.50795i −0.251780 0.607852i
\(56\) 1.30887 + 10.3636i 0.174905 + 1.38489i
\(57\) 0.865771 + 5.25765i 0.114674 + 0.696392i
\(58\) 11.7781 + 1.83400i 1.54654 + 0.240816i
\(59\) 1.97738 1.32124i 0.257433 0.172011i −0.420156 0.907452i \(-0.638025\pi\)
0.677589 + 0.735440i \(0.263025\pi\)
\(60\) −9.82120 + 7.30708i −1.26791 + 0.943339i
\(61\) 2.15485 + 10.8331i 0.275900 + 1.38704i 0.831469 + 0.555572i \(0.187501\pi\)
−0.555569 + 0.831471i \(0.687499\pi\)
\(62\) −3.64665 + 9.96458i −0.463124 + 1.26550i
\(63\) 9.93280 + 4.90870i 1.25142 + 0.618438i
\(64\) 4.07280 6.88566i 0.509100 0.860708i
\(65\) 15.7235i 1.95025i
\(66\) 3.31135 0.688778i 0.407599 0.0847827i
\(67\) 1.15899 0.230537i 0.141593 0.0281646i −0.123785 0.992309i \(-0.539503\pi\)
0.265378 + 0.964144i \(0.414503\pi\)
\(68\) 0.254818 + 3.03536i 0.0309012 + 0.368092i
\(69\) 0.652356 1.43817i 0.0785344 0.173135i
\(70\) −2.83972 + 18.2368i −0.339412 + 2.17972i
\(71\) −7.50045 3.10679i −0.890139 0.368708i −0.109719 0.993963i \(-0.534995\pi\)
−0.780421 + 0.625255i \(0.784995\pi\)
\(72\) −3.70637 7.63301i −0.436800 0.899559i
\(73\) −3.51016 + 1.45396i −0.410833 + 0.170173i −0.578521 0.815667i \(-0.696370\pi\)
0.167688 + 0.985840i \(0.446370\pi\)
\(74\) −4.53765 + 1.10191i −0.527491 + 0.128095i
\(75\) −12.1393 + 4.56310i −1.40173 + 0.526902i
\(76\) −1.70096 5.91297i −0.195113 0.678265i
\(77\) 2.83313 4.24007i 0.322865 0.483201i
\(78\) 10.7077 + 2.03288i 1.21241 + 0.230178i
\(79\) 8.03113 8.03113i 0.903573 0.903573i −0.0921705 0.995743i \(-0.529380\pi\)
0.995743 + 0.0921705i \(0.0293805\pi\)
\(80\) 10.2791 9.70258i 1.14923 1.08478i
\(81\) −8.92102 1.18974i −0.991224 0.132193i
\(82\) −0.592231 14.1340i −0.0654009 1.56084i
\(83\) 2.45014 3.66690i 0.268938 0.402494i −0.672278 0.740298i \(-0.734684\pi\)
0.941216 + 0.337804i \(0.109684\pi\)
\(84\) −12.0522 4.29169i −1.31500 0.468262i
\(85\) −1.04997 + 5.27857i −0.113886 + 0.572542i
\(86\) −2.15450 + 3.53649i −0.232326 + 0.381350i
\(87\) −8.50856 + 11.8631i −0.912213 + 1.27186i
\(88\) −3.70476 + 1.23586i −0.394929 + 0.131743i
\(89\) 0.100607 + 0.0416728i 0.0106643 + 0.00441731i 0.388009 0.921655i \(-0.373163\pi\)
−0.377345 + 0.926073i \(0.623163\pi\)
\(90\) −2.56506 14.7714i −0.270381 1.55704i
\(91\) 13.6634 9.12957i 1.43231 0.957039i
\(92\) −0.554448 + 1.73718i −0.0578052 + 0.181114i
\(93\) −8.87972 9.48878i −0.920784 0.983940i
\(94\) −3.29278 7.09391i −0.339625 0.731681i
\(95\) 10.8712i 1.11536i
\(96\) 5.27852 + 8.25453i 0.538737 + 0.842474i
\(97\) 12.5267i 1.27189i 0.771735 + 0.635945i \(0.219389\pi\)
−0.771735 + 0.635945i \(0.780611\pi\)
\(98\) −8.51695 + 3.95332i −0.860342 + 0.399346i
\(99\) −1.07549 + 4.00031i −0.108090 + 0.402047i
\(100\) 13.3071 6.86793i 1.33071 0.686793i
\(101\) −7.14638 + 4.77506i −0.711091 + 0.475136i −0.857760 0.514050i \(-0.828145\pi\)
0.146669 + 0.989186i \(0.453145\pi\)
\(102\) −3.45898 1.39750i −0.342490 0.138373i
\(103\) −15.7808 6.53662i −1.55493 0.644072i −0.570729 0.821139i \(-0.693339\pi\)
−0.984199 + 0.177066i \(0.943339\pi\)
\(104\) −12.5536 0.889270i −1.23098 0.0872001i
\(105\) −18.3686 13.1744i −1.79259 1.28569i
\(106\) 4.64663 + 2.83083i 0.451321 + 0.274954i
\(107\) 0.485556 2.44105i 0.0469404 0.235986i −0.950192 0.311666i \(-0.899113\pi\)
0.997132 + 0.0756806i \(0.0241130\pi\)
\(108\) 10.3910 + 0.162970i 0.999877 + 0.0156818i
\(109\) 1.80331 2.69885i 0.172726 0.258503i −0.734999 0.678068i \(-0.762817\pi\)
0.907725 + 0.419565i \(0.137817\pi\)
\(110\) −6.89442 + 0.288884i −0.657357 + 0.0275440i
\(111\) 1.30099 5.56904i 0.123484 0.528590i
\(112\) 14.3997 + 3.29866i 1.36064 + 0.311694i
\(113\) −7.35380 + 7.35380i −0.691788 + 0.691788i −0.962625 0.270837i \(-0.912699\pi\)
0.270837 + 0.962625i \(0.412699\pi\)
\(114\) 7.40333 + 1.40553i 0.693385 + 0.131640i
\(115\) −1.79001 + 2.67894i −0.166919 + 0.249812i
\(116\) 8.16010 14.7508i 0.757647 1.36958i
\(117\) −8.13495 + 10.5832i −0.752077 + 0.978421i
\(118\) −0.793657 3.26827i −0.0730621 0.300868i
\(119\) −5.19662 + 2.15251i −0.476373 + 0.197320i
\(120\) 4.93101 + 16.5947i 0.450137 + 1.51488i
\(121\) −8.40123 3.47990i −0.763748 0.316355i
\(122\) 15.4345 + 2.40336i 1.39738 + 0.217590i
\(123\) 15.7784 + 7.15708i 1.42269 + 0.645332i
\(124\) 11.4613 + 9.68603i 1.02926 + 0.869831i
\(125\) 8.62114 1.71485i 0.771099 0.153381i
\(126\) 11.3467 10.8058i 1.01084 0.962654i
\(127\) 3.48281i 0.309050i −0.987989 0.154525i \(-0.950615\pi\)
0.987989 0.154525i \(-0.0493846\pi\)
\(128\) −7.16520 8.75557i −0.633320 0.773890i
\(129\) −2.67644 4.30810i −0.235647 0.379307i
\(130\) −20.8819 7.64196i −1.83147 0.670245i
\(131\) 1.52866 + 7.68509i 0.133560 + 0.671449i 0.988316 + 0.152420i \(0.0487066\pi\)
−0.854756 + 0.519030i \(0.826293\pi\)
\(132\) 0.694644 4.73248i 0.0604610 0.411909i
\(133\) 9.44684 6.31218i 0.819145 0.547335i
\(134\) 0.257125 1.65127i 0.0222122 0.142648i
\(135\) 17.5646 + 5.35235i 1.51172 + 0.460657i
\(136\) 4.15504 + 1.13684i 0.356291 + 0.0974832i
\(137\) 1.50317 + 3.62897i 0.128424 + 0.310044i 0.974993 0.222236i \(-0.0713355\pi\)
−0.846569 + 0.532280i \(0.821335\pi\)
\(138\) −1.59294 1.56536i −0.135600 0.133252i
\(139\) −4.01465 + 20.1830i −0.340518 + 1.71190i 0.308581 + 0.951198i \(0.400146\pi\)
−0.649100 + 0.760703i \(0.724854\pi\)
\(140\) 22.8397 + 12.6349i 1.93031 + 1.06784i
\(141\) 9.57330 + 0.317426i 0.806218 + 0.0267321i
\(142\) −7.77143 + 8.45118i −0.652164 + 0.709207i
\(143\) 4.34433 + 4.34433i 0.363291 + 0.363291i
\(144\) −11.9386 + 1.21252i −0.994882 + 0.101043i
\(145\) 21.0612 21.0612i 1.74904 1.74904i
\(146\) 0.224943 + 5.36841i 0.0186164 + 0.444293i
\(147\) 0.381102 11.4937i 0.0314328 0.947986i
\(148\) −0.741983 + 6.56189i −0.0609906 + 0.539384i
\(149\) −20.3831 4.05445i −1.66985 0.332153i −0.732557 0.680705i \(-0.761673\pi\)
−0.937289 + 0.348552i \(0.886673\pi\)
\(150\) 0.160135 + 18.3397i 0.0130750 + 1.49743i
\(151\) −2.14039 + 0.886580i −0.174183 + 0.0721488i −0.468071 0.883691i \(-0.655051\pi\)
0.293888 + 0.955840i \(0.405051\pi\)
\(152\) −8.67957 0.614841i −0.704006 0.0498702i
\(153\) 3.43773 3.00970i 0.277924 0.243320i
\(154\) −4.25417 5.82337i −0.342811 0.469261i
\(155\) 14.7303 + 22.0455i 1.18317 + 1.77074i
\(156\) 7.90402 13.2327i 0.632828 1.05946i
\(157\) 1.80242 0.358524i 0.143849 0.0286133i −0.122641 0.992451i \(-0.539136\pi\)
0.266489 + 0.963838i \(0.414136\pi\)
\(158\) −6.76262 14.5693i −0.538005 1.15907i
\(159\) −5.66045 + 3.51660i −0.448903 + 0.278884i
\(160\) −7.88988 18.3670i −0.623750 1.45204i
\(161\) −3.36728 −0.265379
\(162\) −5.91588 + 11.2695i −0.464795 + 0.885418i
\(163\) −2.11463 10.6309i −0.165630 0.832679i −0.970847 0.239699i \(-0.922951\pi\)
0.805217 0.592980i \(-0.202049\pi\)
\(164\) −19.0588 6.08292i −1.48824 0.474996i
\(165\) 3.49115 7.69653i 0.271786 0.599174i
\(166\) −3.67908 5.03617i −0.285552 0.390882i
\(167\) 5.11061 12.3381i 0.395471 0.954751i −0.593255 0.805014i \(-0.702158\pi\)
0.988726 0.149736i \(-0.0478425\pi\)
\(168\) −11.5573 + 13.9204i −0.891668 + 1.07398i
\(169\) 2.60150 + 6.28058i 0.200115 + 0.483121i
\(170\) 6.50002 + 3.95995i 0.498529 + 0.303714i
\(171\) −5.62450 + 7.31725i −0.430116 + 0.559564i
\(172\) 3.64959 + 4.58016i 0.278278 + 0.349234i
\(173\) −2.34005 1.56357i −0.177911 0.118876i 0.463426 0.886136i \(-0.346620\pi\)
−0.641337 + 0.767259i \(0.721620\pi\)
\(174\) 11.6198 + 17.0658i 0.880893 + 1.29375i
\(175\) 19.5532 + 19.5532i 1.47809 + 1.47809i
\(176\) −0.159282 + 5.52085i −0.0120063 + 0.416150i
\(177\) 4.01113 + 0.937041i 0.301495 + 0.0704323i
\(178\) 0.104242 0.113360i 0.00781326 0.00849666i
\(179\) −5.84520 3.90564i −0.436891 0.291921i 0.317609 0.948222i \(-0.397120\pi\)
−0.754499 + 0.656301i \(0.772120\pi\)
\(180\) −20.8642 3.77266i −1.55513 0.281197i
\(181\) 25.4769 + 5.06767i 1.89368 + 0.376677i 0.997722 0.0674565i \(-0.0214884\pi\)
0.895961 + 0.444133i \(0.146488\pi\)
\(182\) −5.48403 22.5831i −0.406504 1.67397i
\(183\) −11.1500 + 15.5460i −0.824232 + 1.14919i
\(184\) 2.03763 + 1.58066i 0.150216 + 0.116528i
\(185\) −4.46513 + 10.7798i −0.328283 + 0.792546i
\(186\) −16.9175 + 7.18117i −1.24045 + 0.526549i
\(187\) −1.16835 1.74855i −0.0854379 0.127867i
\(188\) −11.0216 + 0.925260i −0.803833 + 0.0674815i
\(189\) 5.54749 + 18.3710i 0.403521 + 1.33629i
\(190\) −14.4378 5.28365i −1.04742 0.383316i
\(191\) −5.07582 −0.367273 −0.183637 0.982994i \(-0.558787\pi\)
−0.183637 + 0.982994i \(0.558787\pi\)
\(192\) 13.5281 2.99838i 0.976307 0.216389i
\(193\) −10.3233 −0.743087 −0.371544 0.928416i \(-0.621171\pi\)
−0.371544 + 0.928416i \(0.621171\pi\)
\(194\) 16.6363 + 6.08825i 1.19442 + 0.437111i
\(195\) 19.8848 18.6085i 1.42398 1.33258i
\(196\) 1.11087 + 13.2326i 0.0793478 + 0.945182i
\(197\) 2.22569 + 3.33097i 0.158574 + 0.237322i 0.902246 0.431223i \(-0.141918\pi\)
−0.743672 + 0.668545i \(0.766918\pi\)
\(198\) 4.79000 + 3.37257i 0.340411 + 0.239678i
\(199\) 4.93691 11.9188i 0.349968 0.844898i −0.646655 0.762783i \(-0.723832\pi\)
0.996623 0.0821152i \(-0.0261675\pi\)
\(200\) −2.65356 21.0108i −0.187635 1.48569i
\(201\) 1.66320 + 1.19289i 0.117313 + 0.0841398i
\(202\) 2.86833 + 11.8117i 0.201815 + 0.831069i
\(203\) 30.5306 + 6.07291i 2.14283 + 0.426235i
\(204\) −3.53713 + 3.91456i −0.247648 + 0.274074i
\(205\) −29.3910 19.6384i −2.05275 1.37161i
\(206\) −16.3509 + 17.7811i −1.13922 + 1.23887i
\(207\) 2.59085 0.877047i 0.180077 0.0609590i
\(208\) −7.28237 + 16.2399i −0.504942 + 1.12604i
\(209\) 3.00367 + 3.00367i 0.207768 + 0.207768i
\(210\) −26.4242 + 17.9918i −1.82344 + 1.24155i
\(211\) −11.8550 7.92128i −0.816134 0.545323i 0.0759927 0.997108i \(-0.475787\pi\)
−0.892127 + 0.451785i \(0.850787\pi\)
\(212\) 6.01792 4.79523i 0.413312 0.329338i
\(213\) −4.94764 13.1623i −0.339007 0.901869i
\(214\) −3.00591 1.83126i −0.205480 0.125183i
\(215\) 3.95983 + 9.55988i 0.270058 + 0.651978i
\(216\) 5.26672 13.7208i 0.358355 0.933586i
\(217\) −10.6042 + 25.6007i −0.719857 + 1.73789i
\(218\) −2.70782 3.70664i −0.183397 0.251045i
\(219\) −5.99299 2.71842i −0.404968 0.183694i
\(220\) −2.96719 + 9.29671i −0.200048 + 0.626784i
\(221\) −1.32206 6.64647i −0.0889317 0.447090i
\(222\) −6.76379 4.43449i −0.453956 0.297623i
\(223\) 15.0068 1.00493 0.502464 0.864598i \(-0.332427\pi\)
0.502464 + 0.864598i \(0.332427\pi\)
\(224\) 11.3795 17.5207i 0.760322 1.17065i
\(225\) −20.1375 9.95177i −1.34250 0.663452i
\(226\) 6.19228 + 13.3405i 0.411904 + 0.887398i
\(227\) 14.3174 2.84791i 0.950278 0.189022i 0.304470 0.952522i \(-0.401521\pi\)
0.645808 + 0.763500i \(0.276521\pi\)
\(228\) 5.46484 9.14905i 0.361918 0.605911i
\(229\) −9.15707 13.7045i −0.605116 0.905620i 0.394797 0.918768i \(-0.370815\pi\)
−0.999914 + 0.0131478i \(0.995815\pi\)
\(230\) 2.68784 + 3.67929i 0.177231 + 0.242605i
\(231\) 8.71521 1.43512i 0.573419 0.0944242i
\(232\) −15.6241 18.0064i −1.02577 1.18218i
\(233\) 14.9724 6.20176i 0.980873 0.406291i 0.166124 0.986105i \(-0.446875\pi\)
0.814749 + 0.579814i \(0.196875\pi\)
\(234\) 10.1016 + 15.9475i 0.660359 + 1.04252i
\(235\) −19.1668 3.81252i −1.25031 0.248702i
\(236\) −4.72624 0.534417i −0.307652 0.0347876i
\(237\) 19.6614 + 0.651920i 1.27714 + 0.0423467i
\(238\) 0.333016 + 7.94767i 0.0215863 + 0.515171i
\(239\) −13.3330 + 13.3330i −0.862438 + 0.862438i −0.991621 0.129182i \(-0.958765\pi\)
0.129182 + 0.991621i \(0.458765\pi\)
\(240\) 24.4356 + 1.51666i 1.57731 + 0.0979000i
\(241\) 12.8148 + 12.8148i 0.825476 + 0.825476i 0.986887 0.161411i \(-0.0516046\pi\)
−0.161411 + 0.986887i \(0.551605\pi\)
\(242\) −8.70476 + 9.46614i −0.559563 + 0.608507i
\(243\) −9.05328 12.6901i −0.580768 0.814069i
\(244\) 10.6934 19.3301i 0.684574 1.23748i
\(245\) −4.57732 + 23.0117i −0.292434 + 1.47017i
\(246\) 17.1738 17.4763i 1.09496 1.11425i
\(247\) 5.23831 + 12.6464i 0.333306 + 0.804671i
\(248\) 18.4343 10.5139i 1.17058 0.667633i
\(249\) 7.53708 1.24112i 0.477643 0.0786529i
\(250\) 1.91262 12.2830i 0.120965 0.776844i
\(251\) −15.4290 + 10.3094i −0.973872 + 0.650721i −0.937268 0.348609i \(-0.886654\pi\)
−0.0366041 + 0.999330i \(0.511654\pi\)
\(252\) −8.83610 20.3211i −0.556622 1.28011i
\(253\) −0.245608 1.23475i −0.0154412 0.0776283i
\(254\) −4.62543 1.69273i −0.290225 0.106211i
\(255\) −7.91822 + 4.91925i −0.495858 + 0.308056i
\(256\) −15.1105 + 5.26051i −0.944406 + 0.328782i
\(257\) 7.36483i 0.459405i 0.973261 + 0.229703i \(0.0737754\pi\)
−0.973261 + 0.229703i \(0.926225\pi\)
\(258\) −7.02228 + 1.46067i −0.437188 + 0.0909374i
\(259\) −11.9600 + 2.37900i −0.743160 + 0.147824i
\(260\) −20.2982 + 24.0186i −1.25884 + 1.48957i
\(261\) −25.0726 + 3.27943i −1.55195 + 0.202991i
\(262\) 10.9493 + 1.70496i 0.676452 + 0.105333i
\(263\) 21.2218 + 8.79034i 1.30859 + 0.542036i 0.924473 0.381248i \(-0.124506\pi\)
0.384118 + 0.923284i \(0.374506\pi\)
\(264\) −5.94747 3.22263i −0.366042 0.198339i
\(265\) 12.5608 5.20286i 0.771605 0.319609i
\(266\) −3.79166 15.6140i −0.232482 0.957354i
\(267\) 0.0663650 + 0.176553i 0.00406147 + 0.0108048i
\(268\) −2.06804 1.14403i −0.126326 0.0698831i
\(269\) −3.20130 + 4.79109i −0.195187 + 0.292118i −0.916134 0.400872i \(-0.868707\pi\)
0.720947 + 0.692990i \(0.243707\pi\)
\(270\) 15.6451 20.7257i 0.952130 1.26132i
\(271\) −11.1155 + 11.1155i −0.675220 + 0.675220i −0.958915 0.283695i \(-0.908440\pi\)
0.283695 + 0.958915i \(0.408440\pi\)
\(272\) 3.52925 4.96567i 0.213992 0.301088i
\(273\) 27.7162 + 6.47479i 1.67746 + 0.391872i
\(274\) 5.55012 0.232556i 0.335295 0.0140492i
\(275\) −5.74381 + 8.59621i −0.346364 + 0.518371i
\(276\) −2.85312 + 1.35474i −0.171738 + 0.0815457i
\(277\) −0.155896 + 0.783742i −0.00936688 + 0.0470905i −0.985186 0.171489i \(-0.945142\pi\)
0.975819 + 0.218579i \(0.0701422\pi\)
\(278\) 24.8533 + 15.1412i 1.49060 + 0.908107i
\(279\) 1.49105 22.4596i 0.0892666 1.34462i
\(280\) 27.8807 24.1920i 1.66619 1.44575i
\(281\) 2.65178 + 1.09840i 0.158192 + 0.0655253i 0.460374 0.887725i \(-0.347715\pi\)
−0.302182 + 0.953250i \(0.597715\pi\)
\(282\) 5.07441 12.5598i 0.302177 0.747924i
\(283\) 25.0238 16.7204i 1.48751 0.993922i 0.495384 0.868674i \(-0.335027\pi\)
0.992125 0.125248i \(-0.0399727\pi\)
\(284\) 7.44670 + 14.4285i 0.441880 + 0.856175i
\(285\) 13.7484 12.8659i 0.814382 0.762110i
\(286\) 7.88104 3.65815i 0.466016 0.216311i
\(287\) 36.9429i 2.18067i
\(288\) −4.19211 + 16.4446i −0.247023 + 0.969010i
\(289\) 14.6804i 0.863554i
\(290\) −17.7346 38.2071i −1.04141 2.24360i
\(291\) −15.8420 + 14.8251i −0.928672 + 0.869064i
\(292\) 7.23898 + 2.31043i 0.423629 + 0.135208i
\(293\) 8.66794 5.79173i 0.506386 0.338356i −0.275992 0.961160i \(-0.589006\pi\)
0.782378 + 0.622803i \(0.214006\pi\)
\(294\) −15.0793 6.09235i −0.879442 0.355313i
\(295\) −7.76419 3.21603i −0.452049 0.187245i
\(296\) 8.35406 + 4.17464i 0.485570 + 0.242646i
\(297\) −6.33185 + 3.37419i −0.367411 + 0.195790i
\(298\) −15.2913 + 25.0997i −0.885798 + 1.45399i
\(299\) 0.791455 3.97891i 0.0457710 0.230106i
\(300\) 24.4344 + 8.70086i 1.41072 + 0.502344i
\(301\) −6.00813 + 8.99180i −0.346303 + 0.518279i
\(302\) 0.137163 + 3.27350i 0.00789286 + 0.188369i
\(303\) −14.4965 3.38652i −0.832799 0.194551i
\(304\) −5.03503 + 11.2283i −0.288779 + 0.643987i
\(305\) 27.5996 27.5996i 1.58035 1.58035i
\(306\) −2.32629 6.02835i −0.132985 0.344618i
\(307\) −1.97934 + 2.96229i −0.112967 + 0.169067i −0.883645 0.468158i \(-0.844918\pi\)
0.770678 + 0.637225i \(0.219918\pi\)
\(308\) −9.80150 + 2.81955i −0.558492 + 0.160659i
\(309\) −10.4097 27.6933i −0.592189 1.57542i
\(310\) 36.4373 8.84835i 2.06950 0.502553i
\(311\) −14.8552 + 6.15323i −0.842362 + 0.348918i −0.761785 0.647830i \(-0.775677\pi\)
−0.0805778 + 0.996748i \(0.525677\pi\)
\(312\) −13.7324 16.9285i −0.777445 0.958388i
\(313\) 19.4086 + 8.03931i 1.09704 + 0.454409i 0.856456 0.516220i \(-0.172661\pi\)
0.240583 + 0.970629i \(0.422661\pi\)
\(314\) 0.399872 2.56800i 0.0225661 0.144921i
\(315\) −5.07778 38.8217i −0.286100 2.18736i
\(316\) −22.6358 + 1.90027i −1.27337 + 0.106899i
\(317\) −26.5384 + 5.27881i −1.49054 + 0.296488i −0.872095 0.489337i \(-0.837239\pi\)
−0.618449 + 0.785825i \(0.712239\pi\)
\(318\) 1.91919 + 9.22665i 0.107623 + 0.517405i
\(319\) 11.6383i 0.651618i
\(320\) −28.2275 + 1.55154i −1.57796 + 0.0867337i
\(321\) 3.66175 2.27489i 0.204379 0.126972i
\(322\) −1.63658 + 4.47200i −0.0912028 + 0.249215i
\(323\) −0.914075 4.59536i −0.0508605 0.255693i
\(324\) 12.0915 + 13.3340i 0.671751 + 0.740777i
\(325\) −27.7007 + 18.5090i −1.53656 + 1.02670i
\(326\) −15.1464 2.35850i −0.838883 0.130625i
\(327\) 5.54732 0.913471i 0.306767 0.0505150i
\(328\) −17.3416 + 22.3551i −0.957530 + 1.23435i
\(329\) −7.81591 18.8693i −0.430905 1.04030i
\(330\) −8.52478 8.37720i −0.469274 0.461150i
\(331\) 0.802821 4.03605i 0.0441270 0.221841i −0.952429 0.304759i \(-0.901424\pi\)
0.996556 + 0.0829179i \(0.0264239\pi\)
\(332\) −8.47652 + 2.43840i −0.465210 + 0.133825i
\(333\) 8.58263 4.94557i 0.470325 0.271016i
\(334\) −13.9020 12.7839i −0.760686 0.699502i
\(335\) −2.95275 2.95275i −0.161326 0.161326i
\(336\) 12.8702 + 22.1146i 0.702125 + 1.20645i
\(337\) 4.18438 4.18438i 0.227938 0.227938i −0.583893 0.811831i \(-0.698471\pi\)
0.811831 + 0.583893i \(0.198471\pi\)
\(338\) 9.60547 0.402480i 0.522468 0.0218920i
\(339\) −18.0032 0.596938i −0.977798 0.0324212i
\(340\) 8.41827 6.70789i 0.456545 0.363786i
\(341\) −10.1610 2.02115i −0.550250 0.109452i
\(342\) 6.98421 + 11.0261i 0.377663 + 0.596224i
\(343\) 1.22987 0.509431i 0.0664070 0.0275067i
\(344\) 7.85658 2.62086i 0.423598 0.141307i
\(345\) −5.50639 + 0.906731i −0.296454 + 0.0488168i
\(346\) −3.21386 + 2.34783i −0.172778 + 0.126220i
\(347\) −4.27956 6.40482i −0.229739 0.343829i 0.698634 0.715480i \(-0.253792\pi\)
−0.928373 + 0.371651i \(0.878792\pi\)
\(348\) 28.3121 7.13758i 1.51769 0.382614i
\(349\) −29.3368 + 5.83546i −1.57036 + 0.312365i −0.902089 0.431550i \(-0.857967\pi\)
−0.668275 + 0.743915i \(0.732967\pi\)
\(350\) 35.4715 16.4648i 1.89603 0.880082i
\(351\) −23.0118 + 2.23717i −1.22828 + 0.119411i
\(352\) 7.25469 + 2.89480i 0.386676 + 0.154293i
\(353\) 34.8629 1.85556 0.927782 0.373122i \(-0.121713\pi\)
0.927782 + 0.373122i \(0.121713\pi\)
\(354\) 3.19396 4.87165i 0.169757 0.258925i
\(355\) 5.59686 + 28.1373i 0.297050 + 1.49337i
\(356\) −0.0998860 0.193536i −0.00529395 0.0102574i
\(357\) −8.87232 4.02449i −0.469573 0.212999i
\(358\) −8.02788 + 5.86463i −0.424287 + 0.309955i
\(359\) −6.91509 + 16.6945i −0.364965 + 0.881103i 0.629594 + 0.776924i \(0.283221\pi\)
−0.994559 + 0.104178i \(0.966779\pi\)
\(360\) −15.1509 + 25.8756i −0.798520 + 1.36376i
\(361\) −3.64922 8.81000i −0.192064 0.463684i
\(362\) 19.1126 31.3722i 1.00454 1.64889i
\(363\) −5.54184 14.7431i −0.290871 0.773812i
\(364\) −32.6575 3.69273i −1.71172 0.193551i
\(365\) 11.1634 + 7.45912i 0.584317 + 0.390428i
\(366\) 15.2271 + 22.3638i 0.795933 + 1.16897i
\(367\) 13.6204 + 13.6204i 0.710979 + 0.710979i 0.966740 0.255761i \(-0.0823260\pi\)
−0.255761 + 0.966740i \(0.582326\pi\)
\(368\) 3.08957 1.93789i 0.161055 0.101019i
\(369\) 9.62220 + 28.4246i 0.500912 + 1.47972i
\(370\) 12.1462 + 11.1693i 0.631451 + 0.580662i
\(371\) 11.8144 + 7.89414i 0.613374 + 0.409843i
\(372\) 1.31481 + 25.9580i 0.0681695 + 1.34586i
\(373\) 9.51416 + 1.89248i 0.492625 + 0.0979891i 0.435150 0.900358i \(-0.356695\pi\)
0.0574743 + 0.998347i \(0.481695\pi\)
\(374\) −2.89005 + 0.701813i −0.149441 + 0.0362899i
\(375\) 12.3717 + 8.87331i 0.638872 + 0.458216i
\(376\) −4.12794 + 15.0872i −0.212882 + 0.778063i
\(377\) −14.3520 + 34.6488i −0.739165 + 1.78450i
\(378\) 27.0942 + 1.56125i 1.39358 + 0.0803018i
\(379\) −8.54045 12.7817i −0.438693 0.656551i 0.544575 0.838712i \(-0.316691\pi\)
−0.983269 + 0.182161i \(0.941691\pi\)
\(380\) −14.0342 + 16.6064i −0.719937 + 0.851892i
\(381\) 4.40457 4.12186i 0.225653 0.211169i
\(382\) −2.46696 + 6.74106i −0.126221 + 0.344903i
\(383\) 0.474263 0.0242337 0.0121169 0.999927i \(-0.496143\pi\)
0.0121169 + 0.999927i \(0.496143\pi\)
\(384\) 2.59290 19.4236i 0.132319 0.991207i
\(385\) −18.0204 −0.918403
\(386\) −5.01736 + 13.7101i −0.255377 + 0.697826i
\(387\) 2.28075 8.48335i 0.115937 0.431233i
\(388\) 16.1713 19.1353i 0.820973 0.971446i
\(389\) 3.08095 + 4.61097i 0.156210 + 0.233785i 0.901317 0.433160i \(-0.142601\pi\)
−0.745107 + 0.666945i \(0.767601\pi\)
\(390\) −15.0490 35.4527i −0.762034 1.79522i
\(391\) −0.531404 + 1.28292i −0.0268742 + 0.0648802i
\(392\) 18.1137 + 4.95601i 0.914881 + 0.250316i
\(393\) −7.90987 + 11.0284i −0.399000 + 0.556310i
\(394\) 5.50552 1.33695i 0.277364 0.0673543i
\(395\) −39.3643 7.83004i −1.98063 0.393972i
\(396\) 6.80707 4.72233i 0.342068 0.237306i
\(397\) 18.6371 + 12.4529i 0.935369 + 0.624994i 0.927036 0.374972i \(-0.122348\pi\)
0.00833284 + 0.999965i \(0.497348\pi\)
\(398\) −13.4295 12.3494i −0.673162 0.619018i
\(399\) 19.1630 + 4.47667i 0.959348 + 0.224114i
\(400\) −29.1936 6.68761i −1.45968 0.334380i
\(401\) −1.22748 1.22748i −0.0612974 0.0612974i 0.675794 0.737091i \(-0.263801\pi\)
−0.737091 + 0.675794i \(0.763801\pi\)
\(402\) 2.39259 1.62908i 0.119332 0.0812509i
\(403\) −27.7584 18.5476i −1.38274 0.923920i
\(404\) 17.0809 + 1.93141i 0.849807 + 0.0960915i
\(405\) 14.0185 + 28.5476i 0.696585 + 1.41854i
\(406\) 22.9039 37.5953i 1.13670 1.86582i
\(407\) −1.74472 4.21212i −0.0864823 0.208787i
\(408\) 3.47971 + 6.60014i 0.172271 + 0.326755i
\(409\) 8.06274 19.4652i 0.398677 0.962491i −0.589303 0.807912i \(-0.700598\pi\)
0.987980 0.154580i \(-0.0494023\pi\)
\(410\) −40.3660 + 29.4887i −1.99353 + 1.45634i
\(411\) −2.81043 + 6.19583i −0.138628 + 0.305618i
\(412\) 15.6677 + 30.3573i 0.771893 + 1.49560i
\(413\) −1.71348 8.61426i −0.0843150 0.423880i
\(414\) 0.0944298 3.86711i 0.00464097 0.190058i
\(415\) −15.5844 −0.765006
\(416\) 18.0285 + 17.5645i 0.883918 + 0.861171i
\(417\) −30.2759 + 18.8091i −1.48262 + 0.921087i
\(418\) 5.44895 2.52924i 0.266517 0.123709i
\(419\) 7.02653 1.39766i 0.343269 0.0682804i −0.0204456 0.999791i \(-0.506508\pi\)
0.363714 + 0.931511i \(0.381508\pi\)
\(420\) 11.0516 + 43.8376i 0.539264 + 2.13906i
\(421\) 4.50708 + 6.74533i 0.219662 + 0.328747i 0.924891 0.380232i \(-0.124156\pi\)
−0.705229 + 0.708979i \(0.749156\pi\)
\(422\) −16.2819 + 11.8944i −0.792589 + 0.579012i
\(423\) 10.9284 + 12.4826i 0.531358 + 0.606927i
\(424\) −3.44357 10.3228i −0.167235 0.501321i
\(425\) 10.5355 4.36394i 0.511046 0.211682i
\(426\) −19.8852 + 0.173630i −0.963443 + 0.00841241i
\(427\) 40.0087 + 7.95823i 1.93616 + 0.385126i
\(428\) −3.89299 + 3.10203i −0.188175 + 0.149942i
\(429\) −0.352647 + 10.6356i −0.0170260 + 0.513489i
\(430\) 14.6208 0.612628i 0.705078 0.0295436i
\(431\) −8.97176 + 8.97176i −0.432154 + 0.432154i −0.889361 0.457206i \(-0.848850\pi\)
0.457206 + 0.889361i \(0.348850\pi\)
\(432\) −15.6626 13.6632i −0.753565 0.657373i
\(433\) −15.2633 15.2633i −0.733509 0.733509i 0.237804 0.971313i \(-0.423572\pi\)
−0.971313 + 0.237804i \(0.923572\pi\)
\(434\) 28.8458 + 26.5257i 1.38464 + 1.27327i
\(435\) 51.5609 + 1.70962i 2.47215 + 0.0819702i
\(436\) −6.23875 + 1.79467i −0.298782 + 0.0859493i
\(437\) 0.547212 2.75102i 0.0261767 0.131599i
\(438\) −6.52300 + 6.63791i −0.311681 + 0.317172i
\(439\) −2.80587 6.77397i −0.133917 0.323304i 0.842669 0.538432i \(-0.180983\pi\)
−0.976586 + 0.215128i \(0.930983\pi\)
\(440\) 10.9046 + 8.45906i 0.519856 + 0.403270i
\(441\) 14.9867 13.1207i 0.713651 0.624794i
\(442\) −9.46956 1.47454i −0.450421 0.0701366i
\(443\) 2.06022 1.37659i 0.0978839 0.0654040i −0.505665 0.862730i \(-0.668753\pi\)
0.603549 + 0.797326i \(0.293753\pi\)
\(444\) −9.17669 + 6.82755i −0.435506 + 0.324021i
\(445\) −0.0750733 0.377419i −0.00355881 0.0178914i
\(446\) 7.29364 19.9301i 0.345364 0.943718i
\(447\) −18.9956 30.5760i −0.898460 1.44620i
\(448\) −17.7381 23.6282i −0.838045 1.11633i
\(449\) 12.7302i 0.600774i 0.953817 + 0.300387i \(0.0971158\pi\)
−0.953817 + 0.300387i \(0.902884\pi\)
\(450\) −23.0040 + 21.9073i −1.08442 + 1.03272i
\(451\) 13.5466 2.69459i 0.637886 0.126883i
\(452\) 20.7268 1.74001i 0.974906 0.0818431i
\(453\) −3.65434 1.65761i −0.171696 0.0778815i
\(454\) 3.17635 20.3987i 0.149074 0.957358i
\(455\) −53.6492 22.2222i −2.51511 1.04179i
\(456\) −9.49458 11.7044i −0.444625 0.548107i
\(457\) −24.7432 + 10.2490i −1.15744 + 0.479426i −0.877021 0.480453i \(-0.840472\pi\)
−0.280416 + 0.959879i \(0.590472\pi\)
\(458\) −22.6512 + 5.50055i −1.05842 + 0.257024i
\(459\) 7.87475 + 0.785623i 0.367562 + 0.0366698i
\(460\) 6.19272 1.78143i 0.288737 0.0830598i
\(461\) 10.5730 15.8236i 0.492432 0.736976i −0.499142 0.866520i \(-0.666351\pi\)
0.991574 + 0.129544i \(0.0413513\pi\)
\(462\) 2.32984 12.2719i 0.108394 0.570943i
\(463\) 0.428275 0.428275i 0.0199036 0.0199036i −0.697085 0.716989i \(-0.745520\pi\)
0.716989 + 0.697085i \(0.245520\pi\)
\(464\) −31.5076 + 11.9985i −1.46270 + 0.557015i
\(465\) −10.4469 + 44.7194i −0.484464 + 2.07381i
\(466\) −0.959479 22.8986i −0.0444470 1.06076i
\(467\) 19.1176 28.6115i 0.884657 1.32398i −0.0607716 0.998152i \(-0.519356\pi\)
0.945428 0.325831i \(-0.105644\pi\)
\(468\) 26.0891 5.66475i 1.20597 0.261853i
\(469\) 0.851414 4.28035i 0.0393146 0.197648i
\(470\) −14.3788 + 23.6020i −0.663247 + 1.08868i
\(471\) 2.58655 + 1.85514i 0.119182 + 0.0854804i
\(472\) −3.00680 + 6.01705i −0.138399 + 0.276957i
\(473\) −3.73545 1.54727i −0.171756 0.0711437i
\(474\) 10.4217 25.7949i 0.478683 1.18480i
\(475\) −19.1523 + 12.7971i −0.878767 + 0.587173i
\(476\) 10.7169 + 3.42048i 0.491211 + 0.156777i
\(477\) −11.1464 2.99670i −0.510357 0.137210i
\(478\) 11.2270 + 24.1873i 0.513513 + 1.10630i
\(479\) 1.62319i 0.0741654i 0.999312 + 0.0370827i \(0.0118065\pi\)
−0.999312 + 0.0370827i \(0.988194\pi\)
\(480\) 13.8905 31.7151i 0.634011 1.44759i
\(481\) 14.6916i 0.669880i
\(482\) 23.2474 10.7907i 1.05889 0.491505i
\(483\) −3.98513 4.25846i −0.181330 0.193767i
\(484\) 8.34103 + 16.1613i 0.379138 + 0.734606i
\(485\) 36.8060 24.5930i 1.67127 1.11671i
\(486\) −21.2535 + 5.85575i −0.964077 + 0.265622i
\(487\) −17.8470 7.39248i −0.808726 0.334985i −0.0602804 0.998181i \(-0.519199\pi\)
−0.748446 + 0.663196i \(0.769199\pi\)
\(488\) −20.4746 23.5965i −0.926841 1.06816i
\(489\) 10.9419 15.2558i 0.494809 0.689893i
\(490\) 28.3366 + 17.2633i 1.28012 + 0.779874i
\(491\) 4.82274 24.2456i 0.217647 1.09419i −0.705196 0.709012i \(-0.749141\pi\)
0.922844 0.385175i \(-0.125859\pi\)
\(492\) −14.8630 31.3020i −0.670077 1.41120i
\(493\) 7.13191 10.6737i 0.321205 0.480717i
\(494\) 19.3413 0.810423i 0.870206 0.0364626i
\(495\) 13.8652 4.69361i 0.623195 0.210962i
\(496\) −5.00375 29.5921i −0.224675 1.32872i
\(497\) −21.2010 + 21.2010i −0.950996 + 0.950996i
\(498\) 2.01489 10.6130i 0.0902895 0.475581i
\(499\) 7.36807 11.0271i 0.329840 0.493640i −0.629071 0.777348i \(-0.716565\pi\)
0.958911 + 0.283708i \(0.0915645\pi\)
\(500\) −15.3831 8.50992i −0.687954 0.380575i
\(501\) 21.6518 8.13878i 0.967332 0.363614i
\(502\) 6.19272 + 25.5015i 0.276395 + 1.13819i
\(503\) 22.2212 9.20431i 0.990793 0.410400i 0.172380 0.985031i \(-0.444854\pi\)
0.818413 + 0.574631i \(0.194854\pi\)
\(504\) −31.2825 + 1.85847i −1.39343 + 0.0827827i
\(505\) 28.0603 + 11.6229i 1.24867 + 0.517214i
\(506\) −1.75921 0.273933i −0.0782066 0.0121778i
\(507\) −4.86395 + 10.7230i −0.216016 + 0.476224i
\(508\) −4.49613 + 5.32021i −0.199484 + 0.236046i
\(509\) −11.6720 + 2.32171i −0.517354 + 0.102908i −0.446860 0.894604i \(-0.647458\pi\)
−0.0704946 + 0.997512i \(0.522458\pi\)
\(510\) 2.68469 + 12.9069i 0.118880 + 0.571525i
\(511\) 14.0318i 0.620728i
\(512\) −0.357706 + 22.6246i −0.0158085 + 0.999875i
\(513\) −15.9103 + 1.54678i −0.702459 + 0.0682919i
\(514\) 9.78104 + 3.57948i 0.431423 + 0.157884i
\(515\) 11.7757 + 59.2004i 0.518899 + 2.60868i
\(516\) −1.47311 + 10.0360i −0.0648501 + 0.441812i
\(517\) 6.34911 4.24234i 0.279234 0.186578i
\(518\) −2.65336 + 17.0400i −0.116582 + 0.748697i
\(519\) −0.792030 4.80983i −0.0347662 0.211128i
\(520\) 22.0331 + 38.6311i 0.966214 + 1.69409i
\(521\) 3.86481 + 9.33049i 0.169321 + 0.408776i 0.985648 0.168813i \(-0.0539935\pi\)
−0.816327 + 0.577589i \(0.803993\pi\)
\(522\) −7.83053 + 34.8921i −0.342733 + 1.52719i
\(523\) 4.79573 24.1098i 0.209703 1.05425i −0.722240 0.691642i \(-0.756888\pi\)
0.931943 0.362604i \(-0.118112\pi\)
\(524\) 7.58594 13.7129i 0.331393 0.599050i
\(525\) −1.58722 + 47.8692i −0.0692718 + 2.08918i
\(526\) 21.9885 23.9118i 0.958744 1.04260i
\(527\) 8.08030 + 8.08030i 0.351983 + 0.351983i
\(528\) −7.17051 + 6.33241i −0.312056 + 0.275583i
\(529\) 15.6756 15.6756i 0.681549 0.681549i
\(530\) −0.804939 19.2104i −0.0349643 0.834447i
\(531\) 3.56207 + 6.18168i 0.154581 + 0.268262i
\(532\) −22.5794 2.55315i −0.978939 0.110693i
\(533\) 43.6532 + 8.68316i 1.89083 + 0.376109i
\(534\) 0.266730 0.00232898i 0.0115425 0.000100785i
\(535\) −8.12560 + 3.36573i −0.351300 + 0.145513i
\(536\) −2.52448 + 2.19048i −0.109041 + 0.0946144i
\(537\) −1.97841 12.0145i −0.0853745 0.518462i
\(538\) 4.80702 + 6.58015i 0.207245 + 0.283691i
\(539\) −5.09336 7.62275i −0.219387 0.328335i
\(540\) −19.9214 30.8510i −0.857279 1.32762i
\(541\) −2.98380 + 0.593515i −0.128284 + 0.0255172i −0.258815 0.965927i \(-0.583332\pi\)
0.130531 + 0.991444i \(0.458332\pi\)
\(542\) 9.35984 + 20.1646i 0.402039 + 0.866145i
\(543\) 23.7427 + 38.2171i 1.01889 + 1.64005i
\(544\) −4.87948 7.10054i −0.209206 0.304433i
\(545\) −11.4701 −0.491327
\(546\) 22.0697 33.6622i 0.944496 1.44061i
\(547\) 5.92667 + 29.7954i 0.253406 + 1.27396i 0.872490 + 0.488633i \(0.162504\pi\)
−0.619084 + 0.785325i \(0.712496\pi\)
\(548\) 2.38863 7.48400i 0.102037 0.319701i
\(549\) −32.8563 + 4.29751i −1.40227 + 0.183413i
\(550\) 8.62479 + 11.8062i 0.367762 + 0.503416i
\(551\) −9.92296 + 23.9561i −0.422732 + 1.02057i
\(552\) 0.412511 + 4.44759i 0.0175576 + 0.189302i
\(553\) −16.0521 38.7532i −0.682604 1.64795i
\(554\) 0.965098 + 0.587958i 0.0410031 + 0.0249799i
\(555\) −18.9172 + 7.11085i −0.802990 + 0.301839i
\(556\) 32.1879 25.6481i 1.36507 1.08772i
\(557\) −27.1192 18.1205i −1.14908 0.767790i −0.172939 0.984933i \(-0.555326\pi\)
−0.976140 + 0.217143i \(0.930326\pi\)
\(558\) −29.1034 12.8961i −1.23205 0.545937i
\(559\) −9.21290 9.21290i −0.389664 0.389664i
\(560\) −18.5781 48.7855i −0.785068 2.06156i
\(561\) 0.828604 3.54695i 0.0349837 0.149752i
\(562\) 2.74759 2.98791i 0.115900 0.126038i
\(563\) −34.3209 22.9325i −1.44645 0.966489i −0.997331 0.0730192i \(-0.976737\pi\)
−0.449123 0.893470i \(-0.648263\pi\)
\(564\) −14.2140 12.8435i −0.598519 0.540811i
\(565\) 36.0444 + 7.16968i 1.51640 + 0.301631i
\(566\) −10.0437 41.3599i −0.422170 1.73849i
\(567\) −16.6677 + 28.7575i −0.699976 + 1.20770i
\(568\) 22.7814 2.87718i 0.955886 0.120724i
\(569\) 7.91757 19.1147i 0.331922 0.801330i −0.666518 0.745489i \(-0.732216\pi\)
0.998440 0.0558410i \(-0.0177840\pi\)
\(570\) −10.4048 24.5120i −0.435811 1.02669i
\(571\) 11.8416 + 17.7222i 0.495556 + 0.741651i 0.991975 0.126431i \(-0.0403523\pi\)
−0.496420 + 0.868083i \(0.665352\pi\)
\(572\) −1.02793 12.2446i −0.0429798 0.511971i
\(573\) −6.00715 6.41918i −0.250952 0.268165i
\(574\) −49.0629 17.9551i −2.04785 0.749431i
\(575\) 6.82674 0.284695
\(576\) 19.8022 + 13.5599i 0.825093 + 0.564996i
\(577\) 25.7108 1.07036 0.535178 0.844739i \(-0.320245\pi\)
0.535178 + 0.844739i \(0.320245\pi\)
\(578\) −19.4967 7.13502i −0.810955 0.296778i
\(579\) −12.2175 13.0555i −0.507741 0.542566i
\(580\) −59.3613 + 4.98336i −2.46484 + 0.206923i
\(581\) −9.04880 13.5425i −0.375408 0.561837i
\(582\) 11.9893 + 28.2446i 0.496972 + 1.17078i
\(583\) −2.03298 + 4.90804i −0.0841973 + 0.203270i
\(584\) 6.58674 8.49098i 0.272561 0.351359i
\(585\) 47.0668 + 3.12466i 1.94597 + 0.129189i
\(586\) −3.47903 14.3266i −0.143717 0.591825i
\(587\) −27.2847 5.42726i −1.12616 0.224007i −0.403344 0.915049i \(-0.632152\pi\)
−0.722815 + 0.691042i \(0.757152\pi\)
\(588\) −15.4200 + 17.0654i −0.635909 + 0.703765i
\(589\) −19.1921 12.8238i −0.790798 0.528395i
\(590\) −8.04471 + 8.74836i −0.331196 + 0.360164i
\(591\) −1.57848 + 6.75689i −0.0649300 + 0.277941i
\(592\) 9.60450 9.06584i 0.394743 0.372604i
\(593\) −24.6273 24.6273i −1.01132 1.01132i −0.999935 0.0113851i \(-0.996376\pi\)
−0.0113851 0.999935i \(-0.503624\pi\)
\(594\) 1.40374 + 10.0491i 0.0575963 + 0.412320i
\(595\) 16.5268 + 11.0429i 0.677533 + 0.452713i
\(596\) 25.9023 + 32.5069i 1.06100 + 1.33154i
\(597\) 20.9159 7.86216i 0.856032 0.321777i
\(598\) −4.89963 2.98495i −0.200361 0.122064i
\(599\) −13.3132 32.1409i −0.543963 1.31324i −0.921906 0.387414i \(-0.873368\pi\)
0.377943 0.925829i \(-0.376632\pi\)
\(600\) 23.4311 28.2218i 0.956569 1.15215i
\(601\) 7.28047 17.5766i 0.296977 0.716965i −0.703007 0.711183i \(-0.748160\pi\)
0.999983 0.00578169i \(-0.00184038\pi\)
\(602\) 9.02169 + 12.3495i 0.367697 + 0.503327i
\(603\) 0.459771 + 3.51514i 0.0187233 + 0.143148i
\(604\) 4.41411 + 1.40883i 0.179608 + 0.0573246i
\(605\) 6.26903 + 31.5165i 0.254872 + 1.28133i
\(606\) −11.5432 + 17.6064i −0.468909 + 0.715213i
\(607\) −10.4645 −0.424739 −0.212370 0.977189i \(-0.568118\pi\)
−0.212370 + 0.977189i \(0.568118\pi\)
\(608\) 12.4649 + 12.1441i 0.505517 + 0.492508i
\(609\) 28.4523 + 45.7980i 1.15295 + 1.85583i
\(610\) −23.2403 50.0683i −0.940971 2.02721i
\(611\) 24.1338 4.80050i 0.976347 0.194208i
\(612\) −9.13673 + 0.159569i −0.369330 + 0.00645019i
\(613\) 4.61631 + 6.90880i 0.186451 + 0.279044i 0.912906 0.408171i \(-0.133833\pi\)
−0.726455 + 0.687215i \(0.758833\pi\)
\(614\) 2.97213 + 4.06845i 0.119946 + 0.164189i
\(615\) −9.94787 60.4113i −0.401137 2.43602i
\(616\) −1.01918 + 14.3875i −0.0410638 + 0.579688i
\(617\) 1.58520 0.656613i 0.0638179 0.0264343i −0.350546 0.936545i \(-0.614004\pi\)
0.414364 + 0.910111i \(0.364004\pi\)
\(618\) −41.8382 + 0.365315i −1.68298 + 0.0146951i
\(619\) 24.9444 + 4.96175i 1.00260 + 0.199430i 0.668982 0.743279i \(-0.266730\pi\)
0.333618 + 0.942708i \(0.391730\pi\)
\(620\) 5.95812 52.6920i 0.239284 2.11616i
\(621\) 4.17540 + 2.23857i 0.167553 + 0.0898307i
\(622\) 0.951971 + 22.7195i 0.0381706 + 0.910967i
\(623\) 0.284379 0.284379i 0.0113934 0.0113934i
\(624\) −29.1566 + 10.0100i −1.16720 + 0.400721i
\(625\) 4.50806 + 4.50806i 0.180322 + 0.180322i
\(626\) 20.1098 21.8688i 0.803750 0.874052i
\(627\) −0.243820 + 7.35342i −0.00973724 + 0.293667i
\(628\) −3.21615 1.77917i −0.128338 0.0709965i
\(629\) −0.981069 + 4.93217i −0.0391178 + 0.196658i
\(630\) −54.0260 12.1246i −2.15245 0.483055i
\(631\) 11.2810 + 27.2347i 0.449089 + 1.08420i 0.972664 + 0.232217i \(0.0745980\pi\)
−0.523575 + 0.851980i \(0.675402\pi\)
\(632\) −8.47784 + 30.9857i −0.337230 + 1.23254i
\(633\) −4.01254 24.3673i −0.159484 0.968513i
\(634\) −5.88761 + 37.8106i −0.233827 + 1.50165i
\(635\) −10.2332 + 6.83763i −0.406094 + 0.271343i
\(636\) 13.1864 + 1.93554i 0.522877 + 0.0767490i
\(637\) −5.76349 28.9750i −0.228358 1.14803i
\(638\) 15.4565 + 5.65646i 0.611928 + 0.223942i
\(639\) 10.7904 21.8345i 0.426862 0.863760i
\(640\) −11.6586 + 38.2422i −0.460848 + 1.51166i
\(641\) 7.35273i 0.290415i 0.989401 + 0.145208i \(0.0463850\pi\)
−0.989401 + 0.145208i \(0.953615\pi\)
\(642\) −1.24153 5.96872i −0.0489991 0.235567i
\(643\) −4.59538 + 0.914079i −0.181224 + 0.0360477i −0.284868 0.958567i \(-0.591950\pi\)
0.103644 + 0.994614i \(0.466950\pi\)
\(644\) 5.14373 + 4.34699i 0.202691 + 0.171295i
\(645\) −7.40359 + 16.3218i −0.291516 + 0.642671i
\(646\) −6.54725 1.01949i −0.257598 0.0401115i
\(647\) 34.8538 + 14.4369i 1.37024 + 0.567574i 0.941855 0.336021i \(-0.109081\pi\)
0.428389 + 0.903594i \(0.359081\pi\)
\(648\) 23.5853 9.57782i 0.926517 0.376252i
\(649\) 3.03380 1.25664i 0.119087 0.0493274i
\(650\) 11.1182 + 45.7845i 0.436091 + 1.79581i
\(651\) −44.9260 + 16.8874i −1.76079 + 0.661870i
\(652\) −10.4938 + 18.9693i −0.410968 + 0.742895i
\(653\) −2.26295 + 3.38674i −0.0885561 + 0.132534i −0.873103 0.487536i \(-0.837896\pi\)
0.784547 + 0.620070i \(0.212896\pi\)
\(654\) 1.48297 7.81122i 0.0579886 0.305443i
\(655\) 19.5793 19.5793i 0.765026 0.765026i
\(656\) 21.2608 + 33.8960i 0.830096 + 1.32342i
\(657\) −3.65473 10.7963i −0.142585 0.421204i
\(658\) −28.8585 + 1.20920i −1.12502 + 0.0471397i
\(659\) 11.4690 17.1646i 0.446770 0.668639i −0.537911 0.843001i \(-0.680787\pi\)
0.984681 + 0.174363i \(0.0557865\pi\)
\(660\) −15.2688 + 7.25003i −0.594337 + 0.282207i
\(661\) −0.162121 + 0.815036i −0.00630577 + 0.0317012i −0.983810 0.179214i \(-0.942644\pi\)
0.977504 + 0.210915i \(0.0676445\pi\)
\(662\) −4.96999 3.02782i −0.193164 0.117680i
\(663\) 6.84087 9.53795i 0.265677 0.370423i
\(664\) −0.881404 + 12.4426i −0.0342051 + 0.482866i
\(665\) −37.0931 15.3644i −1.43841 0.595808i
\(666\) −2.39673 13.8020i −0.0928713 0.534818i
\(667\) 6.38980 4.26952i 0.247414 0.165317i
\(668\) −23.7346 + 12.2497i −0.918321 + 0.473955i
\(669\) 17.7603 + 18.9784i 0.686652 + 0.733749i
\(670\) −5.35658 + 2.48637i −0.206943 + 0.0960567i
\(671\) 15.2513i 0.588771i
\(672\) 35.6251 6.34431i 1.37427 0.244737i
\(673\) 24.8299i 0.957121i −0.878055 0.478560i \(-0.841159\pi\)
0.878055 0.478560i \(-0.158841\pi\)
\(674\) −3.52346 7.59087i −0.135719 0.292390i
\(675\) −11.2468 37.2449i −0.432891 1.43356i
\(676\) 4.13396 12.9524i 0.158998 0.498169i
\(677\) 9.22007 6.16065i 0.354356 0.236773i −0.365632 0.930759i \(-0.619147\pi\)
0.719988 + 0.693986i \(0.244147\pi\)
\(678\) −9.54274 + 23.6194i −0.366487 + 0.907099i
\(679\) 42.7416 + 17.7041i 1.64027 + 0.679423i
\(680\) −4.81710 14.4403i −0.184727 0.553759i
\(681\) 20.5460 + 14.7362i 0.787326 + 0.564691i
\(682\) −7.62273 + 12.5123i −0.291890 + 0.479119i
\(683\) −2.21498 + 11.1355i −0.0847538 + 0.426086i 0.914990 + 0.403475i \(0.132198\pi\)
−0.999744 + 0.0226109i \(0.992802\pi\)
\(684\) 18.0380 3.91661i 0.689700 0.149755i
\(685\) 7.71159 11.5412i 0.294645 0.440967i
\(686\) −0.0788144 1.88096i −0.00300915 0.0718154i
\(687\) 6.49430 27.7997i 0.247773 1.06062i
\(688\) 0.337784 11.7079i 0.0128779 0.446360i
\(689\) −12.1049 + 12.1049i −0.461161 + 0.461161i
\(690\) −1.47203 + 7.75359i −0.0560391 + 0.295174i
\(691\) −21.0411 + 31.4903i −0.800442 + 1.19795i 0.176471 + 0.984306i \(0.443532\pi\)
−0.976912 + 0.213640i \(0.931468\pi\)
\(692\) 1.55608 + 5.40934i 0.0591534 + 0.205632i
\(693\) 12.1293 + 9.32332i 0.460753 + 0.354164i
\(694\) −10.5860 + 2.57069i −0.401841 + 0.0975820i
\(695\) 67.1838 27.8284i 2.54843 1.05559i
\(696\) 4.28109 41.0696i 0.162274 1.55674i
\(697\) −14.0751 5.83010i −0.533133 0.220831i
\(698\) −6.50845 + 41.7976i −0.246349 + 1.58206i
\(699\) 25.5627 + 11.5953i 0.966870 + 0.438573i
\(700\) −4.62656 55.1111i −0.174867 2.08300i
\(701\) −22.0599 + 4.38799i −0.833192 + 0.165732i −0.593213 0.805046i \(-0.702141\pi\)
−0.239979 + 0.970778i \(0.577141\pi\)
\(702\) −8.21314 + 31.6487i −0.309985 + 1.19450i
\(703\) 10.1578i 0.383108i
\(704\) 7.37046 8.22783i 0.277785 0.310098i
\(705\) −17.8621 28.7516i −0.672727 1.08285i
\(706\) 16.9442 46.3005i 0.637702 1.74254i
\(707\) 6.19263 + 31.1325i 0.232898 + 1.17086i
\(708\) −4.91757 6.60955i −0.184814 0.248402i
\(709\) 34.9257 23.3366i 1.31166 0.876426i 0.314324 0.949316i \(-0.398222\pi\)
0.997340 + 0.0728900i \(0.0232222\pi\)
\(710\) 40.0886 + 6.24234i 1.50450 + 0.234271i
\(711\) 22.4445 + 25.6365i 0.841734 + 0.961443i
\(712\) −0.305578 + 0.0385929i −0.0114520 + 0.00144633i
\(713\) 2.61792 + 6.32021i 0.0980417 + 0.236694i
\(714\) −9.65697 + 9.82710i −0.361403 + 0.367770i
\(715\) 4.23556 21.2936i 0.158401 0.796335i
\(716\) 3.88693 + 13.5120i 0.145261 + 0.504966i
\(717\) −32.6410 1.08229i −1.21900 0.0404189i
\(718\) 18.8107 + 17.2977i 0.702008 + 0.645544i
\(719\) 25.4632 + 25.4632i 0.949618 + 0.949618i 0.998790 0.0491720i \(-0.0156583\pi\)
−0.0491720 + 0.998790i \(0.515658\pi\)
\(720\) 27.0011 + 32.6976i 1.00627 + 1.21857i
\(721\) −44.6065 + 44.6065i −1.66123 + 1.66123i
\(722\) −13.4739 + 0.564573i −0.501448 + 0.0210112i
\(723\) −1.04023 + 31.3726i −0.0386867 + 1.16676i
\(724\) −32.3755 40.6306i −1.20322 1.51002i
\(725\) −61.8969 12.3121i −2.29879 0.457259i
\(726\) −22.2734 + 0.194483i −0.826644 + 0.00721793i
\(727\) −9.12297 + 3.77886i −0.338352 + 0.140150i −0.545389 0.838183i \(-0.683618\pi\)
0.207037 + 0.978333i \(0.433618\pi\)
\(728\) −20.7765 + 41.5768i −0.770028 + 1.54094i
\(729\) 5.33421 26.4678i 0.197563 0.980290i
\(730\) 15.3319 11.2005i 0.567460 0.414548i
\(731\) 2.47768 + 3.70811i 0.0916402 + 0.137149i
\(732\) 37.1015 9.35342i 1.37131 0.345712i
\(733\) −12.7770 + 2.54150i −0.471928 + 0.0938724i −0.425324 0.905041i \(-0.639840\pi\)
−0.0466042 + 0.998913i \(0.514840\pi\)
\(734\) 24.7087 11.4691i 0.912016 0.423331i
\(735\) −34.5192 + 21.4453i −1.27326 + 0.791022i
\(736\) −1.07206 5.04503i −0.0395166 0.185962i
\(737\) 1.63167 0.0601033
\(738\) 42.4265 + 1.03600i 1.56174 + 0.0381357i
\(739\) 3.73646 + 18.7844i 0.137448 + 0.690997i 0.986640 + 0.162914i \(0.0520892\pi\)
−0.849192 + 0.528083i \(0.822911\pi\)
\(740\) 20.7369 10.7025i 0.762305 0.393433i
\(741\) −9.79392 + 21.5915i −0.359789 + 0.793184i
\(742\) 16.2261 11.8537i 0.595678 0.435163i
\(743\) 15.5455 37.5302i 0.570310 1.37685i −0.330982 0.943637i \(-0.607380\pi\)
0.901292 0.433213i \(-0.142620\pi\)
\(744\) 35.1132 + 10.8700i 1.28731 + 0.398514i
\(745\) 28.1043 + 67.8497i 1.02966 + 2.48582i
\(746\) 7.13746 11.7157i 0.261321 0.428943i
\(747\) 10.4896 + 8.06299i 0.383795 + 0.295009i
\(748\) −0.472572 + 4.17930i −0.0172790 + 0.152810i
\(749\) −7.64275 5.10672i −0.279260 0.186596i
\(750\) 17.7973 12.1179i 0.649867 0.442483i
\(751\) −15.2299 15.2299i −0.555747 0.555747i 0.372346 0.928094i \(-0.378553\pi\)
−0.928094 + 0.372346i \(0.878553\pi\)
\(752\) 18.0307 + 12.8149i 0.657511 + 0.467313i
\(753\) −31.2979 7.31151i −1.14056 0.266446i
\(754\) 39.0407 + 35.9006i 1.42178 + 1.30742i
\(755\) 6.80709 + 4.54835i 0.247735 + 0.165531i
\(756\) 15.2419 35.2244i 0.554342 1.28110i
\(757\) −47.7615 9.50036i −1.73592 0.345296i −0.777116 0.629357i \(-0.783318\pi\)
−0.958806 + 0.284061i \(0.908318\pi\)
\(758\) −21.1259 + 5.13015i −0.767326 + 0.186336i
\(759\) 1.27087 1.77192i 0.0461296 0.0643167i
\(760\) 15.2336 + 26.7095i 0.552583 + 0.968856i
\(761\) 18.9859 45.8359i 0.688237 1.66155i −0.0600660 0.998194i \(-0.519131\pi\)
0.748303 0.663357i \(-0.230869\pi\)
\(762\) −3.33341 7.85291i −0.120757 0.284481i
\(763\) −6.65995 9.96732i −0.241106 0.360841i
\(764\) 7.75363 + 6.55262i 0.280517 + 0.237066i
\(765\) −15.5923 4.19199i −0.563740 0.151562i
\(766\) 0.230503 0.629857i 0.00832841 0.0227577i
\(767\) 10.5817 0.382083
\(768\) −24.5358 12.8839i −0.885359 0.464908i
\(769\) −33.7659 −1.21763 −0.608816 0.793312i \(-0.708355\pi\)
−0.608816 + 0.793312i \(0.708355\pi\)
\(770\) −8.75832 + 23.9324i −0.315628 + 0.862464i
\(771\) −9.31400 + 8.71617i −0.335436 + 0.313905i
\(772\) 15.7695 + 13.3269i 0.567556 + 0.479644i
\(773\) 6.58543 + 9.85580i 0.236862 + 0.354488i 0.930789 0.365556i \(-0.119121\pi\)