Properties

Label 300.2.n.a.11.7
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29913 - 0.558792i) q^{2} +(1.06350 - 1.36711i) q^{3} +(1.37550 + 1.45189i) q^{4} +(1.51671 - 1.64305i) q^{5} +(-2.14555 + 1.18178i) q^{6} -1.88972i q^{7} +(-0.975659 - 2.65482i) q^{8} +(-0.737954 - 2.90782i) q^{9} +O(q^{10})\) \(q+(-1.29913 - 0.558792i) q^{2} +(1.06350 - 1.36711i) q^{3} +(1.37550 + 1.45189i) q^{4} +(1.51671 - 1.64305i) q^{5} +(-2.14555 + 1.18178i) q^{6} -1.88972i q^{7} +(-0.975659 - 2.65482i) q^{8} +(-0.737954 - 2.90782i) q^{9} +(-2.88853 + 1.28702i) q^{10} +(-3.00660 + 2.18442i) q^{11} +(3.44773 - 0.336377i) q^{12} +(1.87647 + 1.36333i) q^{13} +(-1.05596 + 2.45500i) q^{14} +(-0.633207 - 3.82087i) q^{15} +(-0.215981 + 3.99416i) q^{16} +(5.42228 - 1.76180i) q^{17} +(-0.666165 + 4.19001i) q^{18} +(0.894947 - 0.290786i) q^{19} +(4.47176 - 0.0579224i) q^{20} +(-2.58344 - 2.00970i) q^{21} +(5.12661 - 1.15780i) q^{22} +(-4.58028 + 3.32777i) q^{23} +(-4.66703 - 1.48956i) q^{24} +(-0.399204 - 4.98404i) q^{25} +(-1.67596 - 2.81971i) q^{26} +(-4.76011 - 2.08359i) q^{27} +(2.74366 - 2.59931i) q^{28} +(-4.43170 - 1.43995i) q^{29} +(-1.31245 + 5.31766i) q^{30} +(0.681127 - 0.221312i) q^{31} +(2.51249 - 5.06827i) q^{32} +(-0.211170 + 6.43346i) q^{33} +(-8.02875 - 0.741102i) q^{34} +(-3.10489 - 2.86614i) q^{35} +(3.20678 - 5.07115i) q^{36} +(3.22240 + 2.34121i) q^{37} +(-1.32515 - 0.122319i) q^{38} +(3.85943 - 1.11543i) q^{39} +(-5.84179 - 2.42353i) q^{40} +(-4.79706 + 6.60258i) q^{41} +(2.23323 + 4.05448i) q^{42} -1.32683i q^{43} +(-7.30713 - 1.36058i) q^{44} +(-5.89694 - 3.19782i) q^{45} +(7.80993 - 1.76380i) q^{46} +(2.90966 - 8.95502i) q^{47} +(5.23075 + 4.54305i) q^{48} +3.42897 q^{49} +(-2.26642 + 6.69801i) q^{50} +(3.35800 - 9.28649i) q^{51} +(0.601674 + 4.59969i) q^{52} +(5.10504 + 1.65873i) q^{53} +(5.01973 + 5.36678i) q^{54} +(-0.971020 + 8.25311i) q^{55} +(-5.01686 + 1.84372i) q^{56} +(0.554237 - 1.53274i) q^{57} +(4.95275 + 4.34709i) q^{58} +(9.81063 + 7.12784i) q^{59} +(4.67651 - 6.17497i) q^{60} +(4.71625 - 3.42655i) q^{61} +(-1.00854 - 0.0930946i) q^{62} +(-5.49496 + 1.39452i) q^{63} +(-6.09618 + 5.18041i) q^{64} +(5.08607 - 1.01535i) q^{65} +(3.86930 - 8.23993i) q^{66} +(7.58723 - 2.46524i) q^{67} +(10.0163 + 5.44919i) q^{68} +(-0.321699 + 9.80079i) q^{69} +(2.43209 + 5.45850i) q^{70} +(-1.63958 + 5.04610i) q^{71} +(-6.99976 + 4.79618i) q^{72} +(-11.4882 + 8.34665i) q^{73} +(-2.87808 - 4.84220i) q^{74} +(-7.23826 - 4.75475i) q^{75} +(1.65319 + 0.899389i) q^{76} +(4.12793 + 5.68161i) q^{77} +(-5.63722 - 0.707527i) q^{78} +(-5.35719 - 1.74066i) q^{79} +(6.23502 + 6.41284i) q^{80} +(-7.91085 + 4.29167i) q^{81} +(9.92149 - 5.89709i) q^{82} +(3.67198 + 11.3012i) q^{83} +(-0.635657 - 6.51523i) q^{84} +(5.32927 - 11.5812i) q^{85} +(-0.741423 + 1.72373i) q^{86} +(-6.68166 + 4.52723i) q^{87} +(8.73267 + 5.85074i) q^{88} +(9.99539 + 13.7575i) q^{89} +(5.87401 + 7.44956i) q^{90} +(2.57631 - 3.54599i) q^{91} +(-11.1317 - 2.07271i) q^{92} +(0.421820 - 1.16654i) q^{93} +(-8.78403 + 10.0079i) q^{94} +(0.879597 - 1.91148i) q^{95} +(-4.25683 - 8.82493i) q^{96} +(-3.00786 + 9.25724i) q^{97} +(-4.45470 - 1.91608i) q^{98} +(8.57064 + 7.13065i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29913 0.558792i −0.918627 0.395125i
\(3\) 1.06350 1.36711i 0.614010 0.789299i
\(4\) 1.37550 + 1.45189i 0.687752 + 0.725946i
\(5\) 1.51671 1.64305i 0.678292 0.734793i
\(6\) −2.14555 + 1.18178i −0.875918 + 0.482460i
\(7\) 1.88972i 0.714245i −0.934057 0.357123i \(-0.883758\pi\)
0.934057 0.357123i \(-0.116242\pi\)
\(8\) −0.975659 2.65482i −0.344948 0.938622i
\(9\) −0.737954 2.90782i −0.245985 0.969274i
\(10\) −2.88853 + 1.28702i −0.913432 + 0.406990i
\(11\) −3.00660 + 2.18442i −0.906523 + 0.658628i −0.940133 0.340807i \(-0.889300\pi\)
0.0336099 + 0.999435i \(0.489300\pi\)
\(12\) 3.44773 0.336377i 0.995274 0.0971037i
\(13\) 1.87647 + 1.36333i 0.520438 + 0.378120i 0.816769 0.576965i \(-0.195763\pi\)
−0.296331 + 0.955085i \(0.595763\pi\)
\(14\) −1.05596 + 2.45500i −0.282217 + 0.656125i
\(15\) −0.633207 3.82087i −0.163493 0.986544i
\(16\) −0.215981 + 3.99416i −0.0539952 + 0.998541i
\(17\) 5.42228 1.76180i 1.31510 0.427300i 0.434287 0.900774i \(-0.357000\pi\)
0.880808 + 0.473474i \(0.157000\pi\)
\(18\) −0.666165 + 4.19001i −0.157017 + 0.987596i
\(19\) 0.894947 0.290786i 0.205315 0.0667108i −0.204554 0.978855i \(-0.565574\pi\)
0.409869 + 0.912144i \(0.365574\pi\)
\(20\) 4.47176 0.0579224i 0.999916 0.0129519i
\(21\) −2.58344 2.00970i −0.563753 0.438553i
\(22\) 5.12661 1.15780i 1.09300 0.246843i
\(23\) −4.58028 + 3.32777i −0.955054 + 0.693887i −0.951997 0.306108i \(-0.900973\pi\)
−0.00305715 + 0.999995i \(0.500973\pi\)
\(24\) −4.66703 1.48956i −0.952654 0.304056i
\(25\) −0.399204 4.98404i −0.0798408 0.996808i
\(26\) −1.67596 2.81971i −0.328684 0.552990i
\(27\) −4.76011 2.08359i −0.916083 0.400988i
\(28\) 2.74366 2.59931i 0.518504 0.491223i
\(29\) −4.43170 1.43995i −0.822947 0.267392i −0.132875 0.991133i \(-0.542421\pi\)
−0.690072 + 0.723741i \(0.742421\pi\)
\(30\) −1.31245 + 5.31766i −0.239619 + 0.970867i
\(31\) 0.681127 0.221312i 0.122334 0.0397488i −0.247210 0.968962i \(-0.579514\pi\)
0.369544 + 0.929213i \(0.379514\pi\)
\(32\) 2.51249 5.06827i 0.444151 0.895952i
\(33\) −0.211170 + 6.43346i −0.0367600 + 1.11992i
\(34\) −8.02875 0.741102i −1.37692 0.127098i
\(35\) −3.10489 2.86614i −0.524822 0.484467i
\(36\) 3.20678 5.07115i 0.534464 0.845191i
\(37\) 3.22240 + 2.34121i 0.529759 + 0.384893i 0.820268 0.571980i \(-0.193824\pi\)
−0.290508 + 0.956872i \(0.593824\pi\)
\(38\) −1.32515 0.122319i −0.214967 0.0198427i
\(39\) 3.85943 1.11543i 0.618004 0.178612i
\(40\) −5.84179 2.42353i −0.923668 0.383194i
\(41\) −4.79706 + 6.60258i −0.749174 + 1.03115i 0.248863 + 0.968539i \(0.419943\pi\)
−0.998038 + 0.0626117i \(0.980057\pi\)
\(42\) 2.23323 + 4.05448i 0.344595 + 0.625620i
\(43\) 1.32683i 0.202340i −0.994869 0.101170i \(-0.967741\pi\)
0.994869 0.101170i \(-0.0322586\pi\)
\(44\) −7.30713 1.36058i −1.10159 0.205115i
\(45\) −5.89694 3.19782i −0.879065 0.476703i
\(46\) 7.80993 1.76380i 1.15151 0.260058i
\(47\) 2.90966 8.95502i 0.424418 1.30622i −0.479133 0.877742i \(-0.659049\pi\)
0.903551 0.428481i \(-0.140951\pi\)
\(48\) 5.23075 + 4.54305i 0.754994 + 0.655732i
\(49\) 3.42897 0.489854
\(50\) −2.26642 + 6.69801i −0.320520 + 0.947242i
\(51\) 3.35800 9.28649i 0.470213 1.30037i
\(52\) 0.601674 + 4.59969i 0.0834372 + 0.637863i
\(53\) 5.10504 + 1.65873i 0.701231 + 0.227844i 0.637867 0.770147i \(-0.279817\pi\)
0.0633644 + 0.997990i \(0.479817\pi\)
\(54\) 5.01973 + 5.36678i 0.683098 + 0.730326i
\(55\) −0.971020 + 8.25311i −0.130932 + 1.11285i
\(56\) −5.01686 + 1.84372i −0.670406 + 0.246377i
\(57\) 0.554237 1.53274i 0.0734105 0.203016i
\(58\) 4.95275 + 4.34709i 0.650328 + 0.570800i
\(59\) 9.81063 + 7.12784i 1.27724 + 0.927966i 0.999466 0.0326823i \(-0.0104049\pi\)
0.277769 + 0.960648i \(0.410405\pi\)
\(60\) 4.67651 6.17497i 0.603735 0.797185i
\(61\) 4.71625 3.42655i 0.603853 0.438725i −0.243391 0.969928i \(-0.578260\pi\)
0.847245 + 0.531203i \(0.178260\pi\)
\(62\) −1.00854 0.0930946i −0.128085 0.0118230i
\(63\) −5.49496 + 1.39452i −0.692299 + 0.175693i
\(64\) −6.09618 + 5.18041i −0.762022 + 0.647551i
\(65\) 5.08607 1.01535i 0.630849 0.125938i
\(66\) 3.86930 8.23993i 0.476278 1.01427i
\(67\) 7.58723 2.46524i 0.926928 0.301177i 0.193622 0.981076i \(-0.437976\pi\)
0.733306 + 0.679899i \(0.237976\pi\)
\(68\) 10.0163 + 5.44919i 1.21466 + 0.660812i
\(69\) −0.321699 + 9.80079i −0.0387279 + 1.17988i
\(70\) 2.43209 + 5.45850i 0.290691 + 0.652415i
\(71\) −1.63958 + 5.04610i −0.194582 + 0.598862i 0.805399 + 0.592733i \(0.201951\pi\)
−0.999981 + 0.00612939i \(0.998049\pi\)
\(72\) −6.99976 + 4.79618i −0.824930 + 0.565235i
\(73\) −11.4882 + 8.34665i −1.34459 + 0.976902i −0.345328 + 0.938482i \(0.612232\pi\)
−0.999262 + 0.0384200i \(0.987768\pi\)
\(74\) −2.87808 4.84220i −0.334570 0.562894i
\(75\) −7.23826 4.75475i −0.835802 0.549031i
\(76\) 1.65319 + 0.899389i 0.189634 + 0.103167i
\(77\) 4.12793 + 5.68161i 0.470422 + 0.647480i
\(78\) −5.63722 0.707527i −0.638289 0.0801117i
\(79\) −5.35719 1.74066i −0.602731 0.195839i −0.00827286 0.999966i \(-0.502633\pi\)
−0.594458 + 0.804127i \(0.702633\pi\)
\(80\) 6.23502 + 6.41284i 0.697096 + 0.716977i
\(81\) −7.91085 + 4.29167i −0.878983 + 0.476853i
\(82\) 9.92149 5.89709i 1.09565 0.651225i
\(83\) 3.67198 + 11.3012i 0.403053 + 1.24047i 0.922510 + 0.385972i \(0.126134\pi\)
−0.519458 + 0.854496i \(0.673866\pi\)
\(84\) −0.635657 6.51523i −0.0693559 0.710870i
\(85\) 5.32927 11.5812i 0.578041 1.25616i
\(86\) −0.741423 + 1.72373i −0.0799497 + 0.185875i
\(87\) −6.68166 + 4.52723i −0.716349 + 0.485370i
\(88\) 8.73267 + 5.85074i 0.930905 + 0.623691i
\(89\) 9.99539 + 13.7575i 1.05951 + 1.45829i 0.880263 + 0.474485i \(0.157366\pi\)
0.179246 + 0.983804i \(0.442634\pi\)
\(90\) 5.87401 + 7.44956i 0.619175 + 0.785253i
\(91\) 2.57631 3.54599i 0.270071 0.371720i
\(92\) −11.1317 2.07271i −1.16056 0.216095i
\(93\) 0.421820 1.16654i 0.0437407 0.120964i
\(94\) −8.78403 + 10.0079i −0.906004 + 1.03223i
\(95\) 0.879597 1.91148i 0.0902447 0.196113i
\(96\) −4.25683 8.82493i −0.434461 0.900691i
\(97\) −3.00786 + 9.25724i −0.305402 + 0.939931i 0.674125 + 0.738617i \(0.264521\pi\)
−0.979527 + 0.201313i \(0.935479\pi\)
\(98\) −4.45470 1.91608i −0.449993 0.193554i
\(99\) 8.57064 + 7.13065i 0.861381 + 0.716657i
\(100\) 6.68718 7.43516i 0.668718 0.743516i
\(101\) 10.7687i 1.07152i −0.844370 0.535761i \(-0.820025\pi\)
0.844370 0.535761i \(-0.179975\pi\)
\(102\) −9.55171 + 10.1880i −0.945760 + 1.00876i
\(103\) 7.11822 + 2.31285i 0.701379 + 0.227892i 0.637931 0.770093i \(-0.279790\pi\)
0.0634476 + 0.997985i \(0.479790\pi\)
\(104\) 1.78862 6.31183i 0.175388 0.618926i
\(105\) −7.22036 + 1.19658i −0.704635 + 0.116774i
\(106\) −5.70525 5.00757i −0.554143 0.486378i
\(107\) 4.63196 0.447788 0.223894 0.974613i \(-0.428123\pi\)
0.223894 + 0.974613i \(0.428123\pi\)
\(108\) −3.52239 9.77716i −0.338942 0.940807i
\(109\) −10.8765 7.90224i −1.04178 0.756898i −0.0711480 0.997466i \(-0.522666\pi\)
−0.970632 + 0.240568i \(0.922666\pi\)
\(110\) 5.87325 10.1793i 0.559993 0.970558i
\(111\) 6.62769 1.91549i 0.629073 0.181811i
\(112\) 7.54784 + 0.408142i 0.713203 + 0.0385658i
\(113\) 8.15282 11.2214i 0.766953 1.05562i −0.229651 0.973273i \(-0.573759\pi\)
0.996604 0.0823467i \(-0.0262415\pi\)
\(114\) −1.57651 + 1.68153i −0.147654 + 0.157489i
\(115\) −1.47926 + 12.5729i −0.137942 + 1.17242i
\(116\) −4.00517 8.41501i −0.371871 0.781314i
\(117\) 2.57958 6.46250i 0.238482 0.597459i
\(118\) −8.76235 14.7421i −0.806640 1.35712i
\(119\) −3.32931 10.2466i −0.305197 0.939301i
\(120\) −9.52594 + 5.40892i −0.869596 + 0.493765i
\(121\) 0.868747 2.67373i 0.0789770 0.243066i
\(122\) −8.04177 + 1.81616i −0.728068 + 0.164427i
\(123\) 3.92478 + 13.5799i 0.353885 + 1.22446i
\(124\) 1.25821 + 0.684508i 0.112991 + 0.0614707i
\(125\) −8.79448 6.90341i −0.786602 0.617460i
\(126\) 7.91794 + 1.25886i 0.705386 + 0.112148i
\(127\) −7.31225 10.0645i −0.648857 0.893076i 0.350191 0.936678i \(-0.386117\pi\)
−0.999049 + 0.0436024i \(0.986117\pi\)
\(128\) 10.8145 3.32355i 0.955878 0.293763i
\(129\) −1.81392 1.41108i −0.159707 0.124239i
\(130\) −7.17485 1.52298i −0.629276 0.133574i
\(131\) 6.97547 + 21.4683i 0.609450 + 1.87569i 0.462688 + 0.886521i \(0.346885\pi\)
0.146761 + 0.989172i \(0.453115\pi\)
\(132\) −9.63115 + 8.54265i −0.838284 + 0.743542i
\(133\) −0.549503 1.69119i −0.0476479 0.146645i
\(134\) −11.2344 1.03700i −0.970504 0.0895833i
\(135\) −10.6431 + 4.66088i −0.916015 + 0.401145i
\(136\) −9.96757 12.6763i −0.854712 1.08698i
\(137\) −2.48465 + 3.41983i −0.212278 + 0.292176i −0.901857 0.432035i \(-0.857796\pi\)
0.689579 + 0.724211i \(0.257796\pi\)
\(138\) 5.89453 12.5528i 0.501776 1.06856i
\(139\) 2.28995 + 3.15184i 0.194231 + 0.267336i 0.895013 0.446039i \(-0.147166\pi\)
−0.700783 + 0.713375i \(0.747166\pi\)
\(140\) −0.109457 8.45036i −0.00925080 0.714185i
\(141\) −9.14804 13.5014i −0.770404 1.13703i
\(142\) 4.94976 5.63939i 0.415374 0.473247i
\(143\) −8.61987 −0.720830
\(144\) 11.7737 2.31947i 0.981142 0.193290i
\(145\) −9.08749 + 5.09752i −0.754675 + 0.423326i
\(146\) 19.5887 4.42393i 1.62118 0.366127i
\(147\) 3.64670 4.68777i 0.300775 0.386641i
\(148\) 1.03324 + 7.89892i 0.0849316 + 0.649287i
\(149\) 8.91865i 0.730644i 0.930881 + 0.365322i \(0.119041\pi\)
−0.930881 + 0.365322i \(0.880959\pi\)
\(150\) 6.74656 + 10.2217i 0.550854 + 0.834602i
\(151\) 17.3632i 1.41300i 0.707714 + 0.706499i \(0.249726\pi\)
−0.707714 + 0.706499i \(0.750274\pi\)
\(152\) −1.64515 2.09222i −0.133439 0.169701i
\(153\) −9.12440 14.4669i −0.737664 1.16958i
\(154\) −2.18790 9.68784i −0.176306 0.780668i
\(155\) 0.669445 1.45479i 0.0537711 0.116851i
\(156\) 6.92814 + 4.06920i 0.554696 + 0.325797i
\(157\) 1.93514 0.154441 0.0772203 0.997014i \(-0.475396\pi\)
0.0772203 + 0.997014i \(0.475396\pi\)
\(158\) 5.98705 + 5.25490i 0.476304 + 0.418057i
\(159\) 7.69685 5.21508i 0.610400 0.413583i
\(160\) −4.51669 11.8152i −0.357076 0.934076i
\(161\) 6.28853 + 8.65542i 0.495606 + 0.682143i
\(162\) 12.6754 1.15495i 0.995875 0.0907412i
\(163\) 3.10062 4.26763i 0.242859 0.334267i −0.670135 0.742239i \(-0.733764\pi\)
0.912994 + 0.407972i \(0.133764\pi\)
\(164\) −16.1846 + 2.11707i −1.26381 + 0.165315i
\(165\) 10.2502 + 10.1046i 0.797976 + 0.786644i
\(166\) 1.54462 16.7337i 0.119886 1.29878i
\(167\) −6.56911 20.2176i −0.508333 1.56449i −0.795094 0.606486i \(-0.792579\pi\)
0.286762 0.958002i \(-0.407421\pi\)
\(168\) −2.81485 + 8.81937i −0.217171 + 0.680429i
\(169\) −2.35477 7.24724i −0.181136 0.557480i
\(170\) −13.3949 + 12.0676i −1.02734 + 0.925541i
\(171\) −1.50598 2.38776i −0.115165 0.182596i
\(172\) 1.92642 1.82506i 0.146888 0.139160i
\(173\) −7.72169 10.6280i −0.587069 0.808032i 0.407379 0.913259i \(-0.366443\pi\)
−0.994448 + 0.105228i \(0.966443\pi\)
\(174\) 11.2102 2.14782i 0.849840 0.162826i
\(175\) −9.41841 + 0.754382i −0.711965 + 0.0570260i
\(176\) −8.07557 12.4806i −0.608719 0.940764i
\(177\) 20.1781 5.83174i 1.51668 0.438340i
\(178\) −5.29780 23.4582i −0.397087 1.75826i
\(179\) 4.33663 13.3468i 0.324135 0.997584i −0.647695 0.761900i \(-0.724267\pi\)
0.971830 0.235684i \(-0.0757332\pi\)
\(180\) −3.46838 12.9603i −0.258518 0.966006i
\(181\) 7.36814 + 22.6768i 0.547669 + 1.68555i 0.714557 + 0.699577i \(0.246628\pi\)
−0.166888 + 0.985976i \(0.553372\pi\)
\(182\) −5.32844 + 3.16710i −0.394971 + 0.234761i
\(183\) 0.331248 10.0917i 0.0244866 0.746002i
\(184\) 13.3034 + 8.91306i 0.980741 + 0.657080i
\(185\) 8.73416 1.74363i 0.642148 0.128194i
\(186\) −1.19985 + 1.27978i −0.0879774 + 0.0938380i
\(187\) −12.4541 + 17.1416i −0.910733 + 1.25352i
\(188\) 17.0040 8.09314i 1.24014 0.590253i
\(189\) −3.93740 + 8.99525i −0.286404 + 0.654308i
\(190\) −2.21083 + 1.99175i −0.160391 + 0.144497i
\(191\) 3.03786 + 2.20713i 0.219812 + 0.159703i 0.692242 0.721666i \(-0.256623\pi\)
−0.472430 + 0.881368i \(0.656623\pi\)
\(192\) 0.598901 + 13.8435i 0.0432220 + 0.999065i
\(193\) −16.1804 −1.16469 −0.582346 0.812941i \(-0.697865\pi\)
−0.582346 + 0.812941i \(0.697865\pi\)
\(194\) 9.08049 10.3456i 0.651941 0.742774i
\(195\) 4.02092 8.03301i 0.287944 0.575255i
\(196\) 4.71657 + 4.97850i 0.336898 + 0.355607i
\(197\) −8.52843 2.77105i −0.607625 0.197429i −0.0109869 0.999940i \(-0.503497\pi\)
−0.596638 + 0.802510i \(0.703497\pi\)
\(198\) −7.14987 14.0529i −0.508119 0.998694i
\(199\) 15.5614i 1.10312i −0.834135 0.551560i \(-0.814033\pi\)
0.834135 0.551560i \(-0.185967\pi\)
\(200\) −12.8423 + 5.92254i −0.908085 + 0.418787i
\(201\) 4.69874 12.9943i 0.331424 0.916548i
\(202\) −6.01744 + 13.9899i −0.423386 + 0.984329i
\(203\) −2.72109 + 8.37466i −0.190983 + 0.587786i
\(204\) 18.1019 7.89816i 1.26739 0.552982i
\(205\) 3.57262 + 17.8960i 0.249523 + 1.24991i
\(206\) −7.95512 6.98231i −0.554260 0.486480i
\(207\) 13.0566 + 10.8629i 0.907495 + 0.755023i
\(208\) −5.85066 + 7.20046i −0.405670 + 0.499262i
\(209\) −2.05555 + 2.82922i −0.142185 + 0.195701i
\(210\) 10.0489 + 2.48016i 0.693437 + 0.171147i
\(211\) 1.76509 + 2.42944i 0.121514 + 0.167250i 0.865440 0.501012i \(-0.167039\pi\)
−0.743926 + 0.668262i \(0.767039\pi\)
\(212\) 4.61371 + 9.69355i 0.316871 + 0.665756i
\(213\) 5.15487 + 7.60799i 0.353206 + 0.521291i
\(214\) −6.01754 2.58830i −0.411351 0.176933i
\(215\) −2.18005 2.01241i −0.148678 0.137245i
\(216\) −0.887334 + 14.6701i −0.0603754 + 0.998176i
\(217\) −0.418216 1.28714i −0.0283904 0.0873766i
\(218\) 9.71434 + 16.3438i 0.657938 + 1.10694i
\(219\) −0.806879 + 24.5822i −0.0545239 + 1.66111i
\(220\) −13.3183 + 9.94236i −0.897917 + 0.670314i
\(221\) 12.5766 + 4.08640i 0.845997 + 0.274881i
\(222\) −9.68063 1.21502i −0.649721 0.0815465i
\(223\) −9.10611 12.5335i −0.609790 0.839304i 0.386770 0.922176i \(-0.373591\pi\)
−0.996560 + 0.0828722i \(0.973591\pi\)
\(224\) −9.57759 4.74790i −0.639930 0.317232i
\(225\) −14.1981 + 4.83880i −0.946540 + 0.322587i
\(226\) −16.8620 + 10.0224i −1.12165 + 0.666678i
\(227\) 2.96284 2.15263i 0.196651 0.142875i −0.485103 0.874457i \(-0.661218\pi\)
0.681753 + 0.731582i \(0.261218\pi\)
\(228\) 2.98772 1.30359i 0.197867 0.0863324i
\(229\) −1.38111 + 4.25062i −0.0912663 + 0.280889i −0.986263 0.165185i \(-0.947178\pi\)
0.894996 + 0.446073i \(0.147178\pi\)
\(230\) 8.94737 15.5072i 0.589972 1.02252i
\(231\) 12.1574 + 0.399052i 0.799899 + 0.0262557i
\(232\) 0.501025 + 13.1703i 0.0328939 + 0.864672i
\(233\) −16.3262 + 5.30470i −1.06956 + 0.347522i −0.790318 0.612697i \(-0.790085\pi\)
−0.279246 + 0.960220i \(0.590085\pi\)
\(234\) −6.96242 + 6.95422i −0.455148 + 0.454611i
\(235\) −10.3004 18.3628i −0.671924 1.19786i
\(236\) 3.14570 + 24.0483i 0.204768 + 1.56541i
\(237\) −8.07701 + 5.47266i −0.524658 + 0.355488i
\(238\) −1.40047 + 15.1721i −0.0907791 + 0.983458i
\(239\) −8.80034 + 6.39382i −0.569246 + 0.413582i −0.834831 0.550506i \(-0.814435\pi\)
0.265585 + 0.964087i \(0.414435\pi\)
\(240\) 15.3979 1.70390i 0.993933 0.109986i
\(241\) 9.94346 + 7.22434i 0.640514 + 0.465361i 0.860027 0.510249i \(-0.170447\pi\)
−0.219513 + 0.975610i \(0.570447\pi\)
\(242\) −2.62268 + 2.98809i −0.168592 + 0.192081i
\(243\) −2.54598 + 15.3791i −0.163325 + 0.986572i
\(244\) 11.4622 + 2.13424i 0.733792 + 0.136631i
\(245\) 5.20075 5.63397i 0.332264 0.359941i
\(246\) 2.48952 19.8353i 0.158726 1.26465i
\(247\) 2.07577 + 0.674460i 0.132078 + 0.0429149i
\(248\) −1.25209 1.59235i −0.0795079 0.101114i
\(249\) 19.3551 + 6.99879i 1.22658 + 0.443531i
\(250\) 7.56765 + 13.8827i 0.478620 + 0.878022i
\(251\) −26.4439 −1.66912 −0.834561 0.550916i \(-0.814278\pi\)
−0.834561 + 0.550916i \(0.814278\pi\)
\(252\) −9.58303 6.05991i −0.603674 0.381739i
\(253\) 6.50181 20.0105i 0.408765 1.25805i
\(254\) 3.87567 + 17.1611i 0.243181 + 1.07678i
\(255\) −10.1650 19.6022i −0.636560 1.22754i
\(256\) −15.9067 1.72533i −0.994169 0.107833i
\(257\) 14.3157i 0.892989i −0.894786 0.446495i \(-0.852672\pi\)
0.894786 0.446495i \(-0.147328\pi\)
\(258\) 1.56803 + 2.84679i 0.0976210 + 0.177233i
\(259\) 4.42422 6.08942i 0.274908 0.378378i
\(260\) 8.47008 + 5.98781i 0.525292 + 0.371348i
\(261\) −0.916719 + 13.9492i −0.0567435 + 0.863435i
\(262\) 2.93423 31.7880i 0.181277 1.96387i
\(263\) −3.26572 2.37269i −0.201373 0.146306i 0.482529 0.875880i \(-0.339718\pi\)
−0.683902 + 0.729574i \(0.739718\pi\)
\(264\) 17.2857 5.71624i 1.06386 0.351810i
\(265\) 10.4682 5.87202i 0.643057 0.360715i
\(266\) −0.231148 + 2.50415i −0.0141726 + 0.153539i
\(267\) 29.4380 + 0.966264i 1.80157 + 0.0591344i
\(268\) 14.0155 + 7.62489i 0.856134 + 0.465764i
\(269\) 1.87168 0.608147i 0.114119 0.0370794i −0.251401 0.967883i \(-0.580891\pi\)
0.365520 + 0.930804i \(0.380891\pi\)
\(270\) 16.4313 0.107816i 0.999978 0.00656148i
\(271\) −12.2946 3.99477i −0.746846 0.242665i −0.0892227 0.996012i \(-0.528438\pi\)
−0.657624 + 0.753347i \(0.728438\pi\)
\(272\) 5.86583 + 22.0380i 0.355668 + 1.33625i
\(273\) −2.10784 7.29323i −0.127572 0.441406i
\(274\) 5.13888 3.05442i 0.310451 0.184524i
\(275\) 12.0875 + 14.1130i 0.728903 + 0.851044i
\(276\) −14.6722 + 13.0139i −0.883162 + 0.783347i
\(277\) 1.80160 1.30894i 0.108247 0.0786463i −0.532345 0.846528i \(-0.678689\pi\)
0.640592 + 0.767881i \(0.278689\pi\)
\(278\) −1.21373 5.37427i −0.0727945 0.322327i
\(279\) −1.14618 1.81728i −0.0686197 0.108798i
\(280\) −4.57979 + 11.0393i −0.273695 + 0.659725i
\(281\) −17.8381 + 5.79595i −1.06413 + 0.345758i −0.788200 0.615419i \(-0.788987\pi\)
−0.275933 + 0.961177i \(0.588987\pi\)
\(282\) 4.34004 + 22.6520i 0.258446 + 1.34891i
\(283\) −3.11189 + 1.01111i −0.184983 + 0.0601045i −0.400044 0.916496i \(-0.631005\pi\)
0.215061 + 0.976601i \(0.431005\pi\)
\(284\) −9.58164 + 4.56044i −0.568566 + 0.270612i
\(285\) −1.67774 3.23535i −0.0993808 0.191645i
\(286\) 11.1984 + 4.81671i 0.662174 + 0.284818i
\(287\) 12.4770 + 9.06507i 0.736494 + 0.535094i
\(288\) −16.5917 3.56574i −0.977677 0.210113i
\(289\) 12.5438 9.11363i 0.737873 0.536096i
\(290\) 14.6543 1.54435i 0.860532 0.0906871i
\(291\) 9.45678 + 13.9571i 0.554366 + 0.818180i
\(292\) −27.9205 5.19875i −1.63392 0.304234i
\(293\) 19.6875i 1.15015i 0.818099 + 0.575077i \(0.195028\pi\)
−0.818099 + 0.575077i \(0.804972\pi\)
\(294\) −7.35704 + 4.05230i −0.429071 + 0.236335i
\(295\) 26.5912 5.30848i 1.54820 0.309072i
\(296\) 3.07154 10.8391i 0.178530 0.630012i
\(297\) 18.8632 4.13355i 1.09455 0.239853i
\(298\) 4.98367 11.5865i 0.288696 0.671190i
\(299\) −13.1316 −0.759419
\(300\) −3.05286 17.0493i −0.176257 0.984344i
\(301\) −2.50733 −0.144520
\(302\) 9.70242 22.5571i 0.558311 1.29802i
\(303\) −14.7219 11.4524i −0.845751 0.657925i
\(304\) 0.968155 + 3.63737i 0.0555275 + 0.208617i
\(305\) 1.52317 12.9461i 0.0872166 0.741291i
\(306\) 3.76985 + 23.8931i 0.215508 + 1.36588i
\(307\) 18.6787i 1.06605i −0.846099 0.533025i \(-0.821055\pi\)
0.846099 0.533025i \(-0.178945\pi\)
\(308\) −2.57110 + 13.8084i −0.146502 + 0.786806i
\(309\) 10.7321 7.27165i 0.610528 0.413670i
\(310\) −1.68262 + 1.51589i −0.0955666 + 0.0860966i
\(311\) 15.0664 10.9463i 0.854334 0.620710i −0.0720033 0.997404i \(-0.522939\pi\)
0.926338 + 0.376694i \(0.122939\pi\)
\(312\) −6.72676 9.15784i −0.380828 0.518460i
\(313\) −2.30190 1.67243i −0.130111 0.0945311i 0.520826 0.853663i \(-0.325624\pi\)
−0.650937 + 0.759132i \(0.725624\pi\)
\(314\) −2.51400 1.08134i −0.141873 0.0610234i
\(315\) −6.04297 + 11.1435i −0.340483 + 0.627868i
\(316\) −4.84159 10.1723i −0.272361 0.572239i
\(317\) −7.58947 + 2.46597i −0.426267 + 0.138503i −0.514291 0.857616i \(-0.671945\pi\)
0.0880238 + 0.996118i \(0.471945\pi\)
\(318\) −12.9134 + 2.47416i −0.724147 + 0.138744i
\(319\) 16.4698 5.35136i 0.922132 0.299619i
\(320\) −0.734463 + 17.8735i −0.0410577 + 0.999157i
\(321\) 4.92607 6.33238i 0.274946 0.353439i
\(322\) −3.33307 14.7585i −0.185745 0.822461i
\(323\) 4.34034 3.15344i 0.241503 0.175462i
\(324\) −17.1124 5.58248i −0.950692 0.310138i
\(325\) 6.04581 9.89663i 0.335361 0.548966i
\(326\) −6.41284 + 3.81163i −0.355174 + 0.211107i
\(327\) −22.3703 + 6.46533i −1.23708 + 0.357533i
\(328\) 22.2090 + 6.29347i 1.22629 + 0.347499i
\(329\) −16.9224 5.49843i −0.932964 0.303138i
\(330\) −7.66999 18.8550i −0.422219 1.03793i
\(331\) 18.6651 6.06465i 1.02593 0.333343i 0.252748 0.967532i \(-0.418666\pi\)
0.773178 + 0.634189i \(0.218666\pi\)
\(332\) −11.3573 + 20.8762i −0.623313 + 1.14573i
\(333\) 4.42984 11.0979i 0.242754 0.608160i
\(334\) −2.76329 + 29.9362i −0.151201 + 1.63804i
\(335\) 7.45709 16.2052i 0.407425 0.885386i
\(336\) 8.58506 9.88463i 0.468354 0.539251i
\(337\) −22.1246 16.0745i −1.20521 0.875634i −0.210420 0.977611i \(-0.567483\pi\)
−0.994787 + 0.101977i \(0.967483\pi\)
\(338\) −0.990533 + 10.7310i −0.0538779 + 0.583688i
\(339\) −6.67034 23.0797i −0.362283 1.25352i
\(340\) 24.1451 8.19244i 1.30945 0.444297i
\(341\) −1.56444 + 2.15326i −0.0847191 + 0.116606i
\(342\) 0.622214 + 3.94355i 0.0336455 + 0.213243i
\(343\) 19.7078i 1.06412i
\(344\) −3.52250 + 1.29454i −0.189921 + 0.0697967i
\(345\) 15.6152 + 15.3935i 0.840696 + 0.828757i
\(346\) 4.09268 + 18.1220i 0.220024 + 0.974246i
\(347\) 2.12454 6.53865i 0.114051 0.351013i −0.877697 0.479216i \(-0.840921\pi\)
0.991748 + 0.128203i \(0.0409209\pi\)
\(348\) −15.7637 3.47383i −0.845022 0.186217i
\(349\) 11.9591 0.640157 0.320079 0.947391i \(-0.396291\pi\)
0.320079 + 0.947391i \(0.396291\pi\)
\(350\) 12.6573 + 4.28289i 0.676563 + 0.228930i
\(351\) −6.09155 10.3994i −0.325143 0.555079i
\(352\) 3.51718 + 20.7266i 0.187466 + 1.10473i
\(353\) 1.98101 + 0.643668i 0.105438 + 0.0342590i 0.361261 0.932465i \(-0.382346\pi\)
−0.255823 + 0.966724i \(0.582346\pi\)
\(354\) −29.4728 3.69913i −1.56646 0.196606i
\(355\) 5.80422 + 10.3474i 0.308056 + 0.549181i
\(356\) −6.22567 + 33.4357i −0.329960 + 1.77209i
\(357\) −17.5488 6.34566i −0.928783 0.335848i
\(358\) −13.0919 + 14.9160i −0.691930 + 0.788334i
\(359\) −1.31705 0.956896i −0.0695115 0.0505030i 0.552487 0.833522i \(-0.313679\pi\)
−0.621998 + 0.783019i \(0.713679\pi\)
\(360\) −2.73624 + 18.7753i −0.144212 + 0.989547i
\(361\) −14.6549 + 10.6474i −0.771313 + 0.560392i
\(362\) 3.09940 33.5775i 0.162901 1.76479i
\(363\) −2.73136 4.03117i −0.143359 0.211581i
\(364\) 8.69212 1.13699i 0.455591 0.0595946i
\(365\) −3.71026 + 31.5350i −0.194204 + 1.65062i
\(366\) −6.06951 + 12.9254i −0.317259 + 0.675623i
\(367\) −23.9702 + 7.78838i −1.25123 + 0.406550i −0.858362 0.513044i \(-0.828518\pi\)
−0.392870 + 0.919594i \(0.628518\pi\)
\(368\) −12.3024 19.0131i −0.641307 0.991127i
\(369\) 22.7391 + 9.07658i 1.18375 + 0.472508i
\(370\) −12.3212 2.61537i −0.640547 0.135967i
\(371\) 3.13452 9.64708i 0.162736 0.500851i
\(372\) 2.27390 0.992139i 0.117896 0.0514400i
\(373\) 6.35222 4.61516i 0.328906 0.238964i −0.411060 0.911608i \(-0.634842\pi\)
0.739966 + 0.672644i \(0.234842\pi\)
\(374\) 25.7581 15.3100i 1.33192 0.791660i
\(375\) −18.7906 + 4.68124i −0.970342 + 0.241738i
\(376\) −26.6128 + 1.01241i −1.37245 + 0.0522109i
\(377\) −6.35281 8.74390i −0.327187 0.450334i
\(378\) 10.1417 9.48586i 0.521632 0.487900i
\(379\) 1.31828 + 0.428335i 0.0677154 + 0.0220021i 0.342679 0.939453i \(-0.388666\pi\)
−0.274963 + 0.961455i \(0.588666\pi\)
\(380\) 3.98514 1.35216i 0.204434 0.0693645i
\(381\) −21.5357 0.706883i −1.10331 0.0362147i
\(382\) −2.71326 4.56489i −0.138822 0.233560i
\(383\) 1.88607 + 5.80473i 0.0963737 + 0.296608i 0.987609 0.156933i \(-0.0501607\pi\)
−0.891236 + 0.453541i \(0.850161\pi\)
\(384\) 6.95756 18.3192i 0.355051 0.934847i
\(385\) 15.5960 + 1.83495i 0.794847 + 0.0935178i
\(386\) 21.0205 + 9.04149i 1.06992 + 0.460200i
\(387\) −3.85819 + 0.979140i −0.196123 + 0.0497725i
\(388\) −17.5778 + 8.36628i −0.892380 + 0.424734i
\(389\) −17.9783 24.7450i −0.911537 1.25462i −0.966639 0.256142i \(-0.917549\pi\)
0.0551027 0.998481i \(-0.482451\pi\)
\(390\) −9.71250 + 8.18910i −0.491812 + 0.414671i
\(391\) −18.9727 + 26.1136i −0.959489 + 1.32062i
\(392\) −3.34551 9.10332i −0.168974 0.459787i
\(393\) 36.7678 + 13.2952i 1.85469 + 0.670656i
\(394\) 9.53113 + 8.36559i 0.480172 + 0.421452i
\(395\) −10.9853 + 6.16205i −0.552729 + 0.310046i
\(396\) 1.43601 + 22.2519i 0.0721622 + 1.11820i
\(397\) −7.19346 + 22.1392i −0.361029 + 1.11113i 0.591401 + 0.806378i \(0.298575\pi\)
−0.952430 + 0.304756i \(0.901425\pi\)
\(398\) −8.69560 + 20.2164i −0.435871 + 1.01336i
\(399\) −2.89643 1.04735i −0.145003 0.0524331i
\(400\) 19.9933 0.518031i 0.999664 0.0259015i
\(401\) 0.238849i 0.0119275i −0.999982 0.00596376i \(-0.998102\pi\)
0.999982 0.00596376i \(-0.00189834\pi\)
\(402\) −13.3654 + 14.2557i −0.666606 + 0.711012i
\(403\) 1.57983 + 0.513319i 0.0786971 + 0.0255702i
\(404\) 15.6349 14.8123i 0.777867 0.736941i
\(405\) −4.94701 + 19.5071i −0.245819 + 0.969316i
\(406\) 8.21476 9.35929i 0.407692 0.464494i
\(407\) −14.8027 −0.733740
\(408\) −27.9303 + 0.145567i −1.38275 + 0.00720662i
\(409\) −6.33256 4.60088i −0.313125 0.227499i 0.420111 0.907473i \(-0.361991\pi\)
−0.733236 + 0.679974i \(0.761991\pi\)
\(410\) 5.35880 25.2456i 0.264652 1.24679i
\(411\) 2.03285 + 7.03376i 0.100273 + 0.346950i
\(412\) 6.43313 + 13.5162i 0.316937 + 0.665896i
\(413\) 13.4696 18.5393i 0.662795 0.912259i
\(414\) −10.8922 21.4083i −0.535321 1.05216i
\(415\) 24.1377 + 11.1074i 1.18487 + 0.545239i
\(416\) 11.6243 6.08507i 0.569931 0.298345i
\(417\) 6.74425 + 0.221371i 0.330267 + 0.0108406i
\(418\) 4.25137 2.52691i 0.207942 0.123595i
\(419\) −0.225141 0.692913i −0.0109989 0.0338510i 0.945406 0.325894i \(-0.105665\pi\)
−0.956405 + 0.292043i \(0.905665\pi\)
\(420\) −11.6689 8.83728i −0.569386 0.431215i
\(421\) 2.43342 7.48930i 0.118598 0.365006i −0.874083 0.485777i \(-0.838537\pi\)
0.992680 + 0.120771i \(0.0385367\pi\)
\(422\) −0.935542 4.14249i −0.0455415 0.201653i
\(423\) −28.1868 1.85239i −1.37049 0.0900661i
\(424\) −0.577149 15.1713i −0.0280288 0.736785i
\(425\) −10.9455 26.3215i −0.530935 1.27678i
\(426\) −2.44559 12.7643i −0.118489 0.618432i
\(427\) −6.47521 8.91236i −0.313357 0.431300i
\(428\) 6.37128 + 6.72511i 0.307967 + 0.325070i
\(429\) −9.16720 + 11.7843i −0.442596 + 0.568950i
\(430\) 1.70765 + 3.83259i 0.0823504 + 0.184824i
\(431\) −6.07697 18.7030i −0.292717 0.900891i −0.983979 0.178286i \(-0.942945\pi\)
0.691262 0.722605i \(-0.257055\pi\)
\(432\) 9.35031 18.5626i 0.449867 0.893095i
\(433\) 2.67807 + 8.24224i 0.128700 + 0.396097i 0.994557 0.104194i \(-0.0332263\pi\)
−0.865857 + 0.500291i \(0.833226\pi\)
\(434\) −0.175922 + 1.90586i −0.00844455 + 0.0914842i
\(435\) −2.69567 + 17.8448i −0.129247 + 0.855590i
\(436\) −3.48747 26.6611i −0.167019 1.27683i
\(437\) −3.13144 + 4.31005i −0.149797 + 0.206178i
\(438\) 14.7846 31.4847i 0.706434 1.50440i
\(439\) 8.44806 + 11.6278i 0.403204 + 0.554963i 0.961544 0.274649i \(-0.0885617\pi\)
−0.558341 + 0.829612i \(0.688562\pi\)
\(440\) 22.8579 5.47433i 1.08971 0.260978i
\(441\) −2.53042 9.97085i −0.120496 0.474802i
\(442\) −14.0553 12.3365i −0.668543 0.586788i
\(443\) 32.1728 1.52858 0.764288 0.644875i \(-0.223090\pi\)
0.764288 + 0.644875i \(0.223090\pi\)
\(444\) 11.8975 + 6.98793i 0.564630 + 0.331632i
\(445\) 37.7642 + 4.44316i 1.79020 + 0.210626i
\(446\) 4.82645 + 21.3711i 0.228539 + 1.01195i
\(447\) 12.1927 + 9.48495i 0.576697 + 0.448623i
\(448\) 9.78949 + 11.5200i 0.462510 + 0.544271i
\(449\) 1.96713i 0.0928346i −0.998922 0.0464173i \(-0.985220\pi\)
0.998922 0.0464173i \(-0.0147804\pi\)
\(450\) 21.1491 + 1.64752i 0.996980 + 0.0776649i
\(451\) 30.3301i 1.42819i
\(452\) 27.5065 3.59805i 1.29380 0.169238i
\(453\) 23.7373 + 18.4657i 1.11528 + 0.867594i
\(454\) −5.05201 + 1.14095i −0.237102 + 0.0535473i
\(455\) −1.91872 9.61122i −0.0899508 0.450581i
\(456\) −4.60989 + 0.0240258i −0.215878 + 0.00112511i
\(457\) −10.9676 −0.513044 −0.256522 0.966538i \(-0.582577\pi\)
−0.256522 + 0.966538i \(0.582577\pi\)
\(458\) 4.16946 4.75037i 0.194826 0.221970i
\(459\) −29.4815 2.91145i −1.37608 0.135895i
\(460\) −20.2892 + 15.1463i −0.945987 + 0.706199i
\(461\) −6.28729 8.65371i −0.292828 0.403043i 0.637102 0.770779i \(-0.280133\pi\)
−0.929930 + 0.367736i \(0.880133\pi\)
\(462\) −15.5711 7.31188i −0.724434 0.340179i
\(463\) −9.54253 + 13.1342i −0.443479 + 0.610396i −0.970981 0.239157i \(-0.923129\pi\)
0.527502 + 0.849554i \(0.323129\pi\)
\(464\) 6.70855 17.3900i 0.311437 0.807308i
\(465\) −1.27690 2.46236i −0.0592147 0.114189i
\(466\) 24.1741 + 2.23142i 1.11985 + 0.103368i
\(467\) 2.01968 + 6.21594i 0.0934597 + 0.287639i 0.986849 0.161644i \(-0.0516795\pi\)
−0.893390 + 0.449283i \(0.851680\pi\)
\(468\) 12.9311 5.14392i 0.597739 0.237778i
\(469\) −4.65860 14.3377i −0.215114 0.662054i
\(470\) 3.12062 + 29.6116i 0.143943 + 1.36588i
\(471\) 2.05801 2.64553i 0.0948280 0.121900i
\(472\) 9.35133 32.9998i 0.430430 1.51894i
\(473\) 2.89836 + 3.98925i 0.133267 + 0.183426i
\(474\) 13.5512 2.59636i 0.622427 0.119255i
\(475\) −1.80655 4.34437i −0.0828904 0.199333i
\(476\) 10.2974 18.9280i 0.471982 0.867562i
\(477\) 1.05600 16.0686i 0.0483510 0.735731i
\(478\) 15.0056 3.38888i 0.686342 0.155004i
\(479\) 2.31678 7.13033i 0.105857 0.325793i −0.884074 0.467347i \(-0.845210\pi\)
0.989931 + 0.141554i \(0.0452099\pi\)
\(480\) −20.9561 6.39065i −0.956512 0.291692i
\(481\) 2.85488 + 8.78641i 0.130171 + 0.400626i
\(482\) −8.88099 14.9417i −0.404518 0.680577i
\(483\) 18.5207 + 0.607919i 0.842721 + 0.0276613i
\(484\) 5.07693 2.41640i 0.230770 0.109836i
\(485\) 10.6480 + 18.9826i 0.483503 + 0.861954i
\(486\) 11.9013 18.5569i 0.539855 0.841758i
\(487\) −23.3145 + 32.0896i −1.05648 + 1.45412i −0.173426 + 0.984847i \(0.555484\pi\)
−0.883053 + 0.469273i \(0.844516\pi\)
\(488\) −13.6983 9.17765i −0.620095 0.415453i
\(489\) −2.53681 8.77747i −0.114718 0.396931i
\(490\) −9.90469 + 4.41315i −0.447448 + 0.199366i
\(491\) −4.91778 3.57297i −0.221936 0.161246i 0.471262 0.881993i \(-0.343799\pi\)
−0.693198 + 0.720747i \(0.743799\pi\)
\(492\) −14.3180 + 24.3776i −0.645506 + 1.09902i
\(493\) −26.5668 −1.19651
\(494\) −2.31983 2.03614i −0.104374 0.0916103i
\(495\) 24.7151 3.26686i 1.11086 0.146834i
\(496\) 0.736845 + 2.76833i 0.0330853 + 0.124302i
\(497\) 9.53570 + 3.09834i 0.427735 + 0.138979i
\(498\) −21.2340 19.9078i −0.951518 0.892092i
\(499\) 33.6303i 1.50550i 0.658306 + 0.752751i \(0.271273\pi\)
−0.658306 + 0.752751i \(0.728727\pi\)
\(500\) −2.07383 22.2643i −0.0927447 0.995690i
\(501\) −34.6259 12.5207i −1.54697 0.559384i
\(502\) 34.3541 + 14.7766i 1.53330 + 0.659512i
\(503\) −0.602523 + 1.85437i −0.0268652 + 0.0826825i −0.963590 0.267384i \(-0.913841\pi\)
0.936725 + 0.350066i \(0.113841\pi\)
\(504\) 9.06342 + 13.2276i 0.403717 + 0.589202i
\(505\) −17.6934 16.3329i −0.787347 0.726804i
\(506\) −19.6284 + 22.3632i −0.872590 + 0.994165i
\(507\) −12.4120 4.48819i −0.551238 0.199327i
\(508\) 4.55447 24.4603i 0.202072 1.08525i
\(509\) 9.99591 13.7582i 0.443061 0.609821i −0.527828 0.849351i \(-0.676993\pi\)
0.970889 + 0.239530i \(0.0769934\pi\)
\(510\) 2.25221 + 31.1461i 0.0997294 + 1.37917i
\(511\) 15.7728 + 21.7094i 0.697748 + 0.960367i
\(512\) 19.7009 + 11.1300i 0.870663 + 0.491880i
\(513\) −4.86592 0.480534i −0.214836 0.0212161i
\(514\) −7.99950 + 18.5980i −0.352843 + 0.820324i
\(515\) 14.5964 8.18765i 0.643193 0.360791i
\(516\) −0.446316 4.57456i −0.0196480 0.201384i
\(517\) 10.8133 + 33.2801i 0.475570 + 1.46366i
\(518\) −9.15038 + 5.43876i −0.402045 + 0.238965i
\(519\) −22.7416 0.746464i −0.998244 0.0327661i
\(520\) −7.65783 12.5120i −0.335818 0.548687i
\(521\) −1.61894 0.526024i −0.0709268 0.0230455i 0.273339 0.961918i \(-0.411872\pi\)
−0.344266 + 0.938872i \(0.611872\pi\)
\(522\) 8.98565 17.6097i 0.393291 0.770754i
\(523\) 22.6628 + 31.1926i 0.990974 + 1.36396i 0.930703 + 0.365776i \(0.119196\pi\)
0.0602706 + 0.998182i \(0.480804\pi\)
\(524\) −21.5749 + 39.6573i −0.942502 + 1.73244i
\(525\) −8.98512 + 13.6782i −0.392143 + 0.596968i
\(526\) 2.91678 + 4.90730i 0.127178 + 0.213968i
\(527\) 3.30335 2.40003i 0.143896 0.104547i
\(528\) −25.6507 2.23295i −1.11630 0.0971768i
\(529\) 2.79752 8.60989i 0.121631 0.374343i
\(530\) −16.8809 + 1.77899i −0.733258 + 0.0772743i
\(531\) 13.4867 33.7876i 0.585273 1.46626i
\(532\) 1.69959 3.12406i 0.0736866 0.135445i
\(533\) −18.0030 + 5.84954i −0.779798 + 0.253372i
\(534\) −37.7040 17.7050i −1.63161 0.766171i
\(535\) 7.02532 7.61053i 0.303731 0.329032i
\(536\) −13.9473 17.7375i −0.602433 0.766144i
\(537\) −13.6345 20.1229i −0.588370 0.868365i
\(538\) −2.77140 0.255817i −0.119483 0.0110290i
\(539\) −10.3095 + 7.49032i −0.444064 + 0.322631i
\(540\) −21.4068 9.04162i −0.921200 0.389089i
\(541\) −4.73015 3.43666i −0.203365 0.147753i 0.481442 0.876478i \(-0.340113\pi\)
−0.684807 + 0.728725i \(0.740113\pi\)
\(542\) 13.7402 + 12.0599i 0.590190 + 0.518017i
\(543\) 38.8375 + 14.0437i 1.66668 + 0.602671i
\(544\) 4.69414 31.9081i 0.201260 1.36805i
\(545\) −29.4802 + 5.88522i −1.26279 + 0.252095i
\(546\) −1.33703 + 10.6527i −0.0572194 + 0.455895i
\(547\) 34.2953 + 11.1432i 1.46636 + 0.476450i 0.930007 0.367542i \(-0.119801\pi\)
0.536356 + 0.843992i \(0.319801\pi\)
\(548\) −8.38288 + 1.09654i −0.358099 + 0.0468420i
\(549\) −13.4442 11.1854i −0.573783 0.477380i
\(550\) −7.81706 25.0890i −0.333321 1.06980i
\(551\) −4.38486 −0.186801
\(552\) 26.3332 8.70818i 1.12082 0.370645i
\(553\) −3.28935 + 10.1236i −0.139877 + 0.430498i
\(554\) −3.07194 + 0.693767i −0.130514 + 0.0294753i
\(555\) 6.90502 13.7948i 0.293102 0.585559i
\(556\) −1.42630 + 7.66012i −0.0604888 + 0.324862i
\(557\) 34.5310i 1.46313i 0.681774 + 0.731563i \(0.261209\pi\)
−0.681774 + 0.731563i \(0.738791\pi\)
\(558\) 0.473556 + 3.00136i 0.0200472 + 0.127058i
\(559\) 1.80891 2.48975i 0.0765089 0.105305i
\(560\) 12.1184 11.7824i 0.512098 0.497898i
\(561\) 10.1895 + 35.2560i 0.430200 + 1.48851i
\(562\) 26.4128 + 2.43807i 1.11416 + 0.102844i
\(563\) −7.10827 5.16446i −0.299578 0.217656i 0.427834 0.903857i \(-0.359277\pi\)
−0.727412 + 0.686201i \(0.759277\pi\)
\(564\) 7.01947 31.8532i 0.295573 1.34126i
\(565\) −6.07184 30.4150i −0.255444 1.27957i
\(566\) 4.60777 + 0.425325i 0.193679 + 0.0178777i
\(567\) 8.11005 + 14.9493i 0.340590 + 0.627810i
\(568\) 14.9962 0.570485i 0.629226 0.0239370i
\(569\) −3.77499 + 1.22657i −0.158256 + 0.0514204i −0.387073 0.922049i \(-0.626514\pi\)
0.228818 + 0.973469i \(0.426514\pi\)
\(570\) 0.371727 + 5.14066i 0.0155699 + 0.215319i
\(571\) −37.5264 12.1931i −1.57043 0.510263i −0.610860 0.791738i \(-0.709176\pi\)
−0.959569 + 0.281475i \(0.909176\pi\)
\(572\) −11.8567 12.5151i −0.495752 0.523284i
\(573\) 6.24813 1.80579i 0.261019 0.0754382i
\(574\) −11.1438 18.7488i −0.465134 0.782560i
\(575\) 18.4142 + 21.4998i 0.767924 + 0.896604i
\(576\) 19.5624 + 13.9037i 0.815100 + 0.579321i
\(577\) 8.06370 5.85862i 0.335696 0.243898i −0.407148 0.913362i \(-0.633477\pi\)
0.742844 + 0.669465i \(0.233477\pi\)
\(578\) −21.3888 + 4.83044i −0.889655 + 0.200920i
\(579\) −17.2078 + 22.1203i −0.715132 + 0.919290i
\(580\) −19.9009 6.18241i −0.826341 0.256711i
\(581\) 21.3561 6.93901i 0.885999 0.287878i
\(582\) −4.48652 23.4165i −0.185972 0.970646i
\(583\) −18.9722 + 6.16443i −0.785747 + 0.255305i
\(584\) 33.3674 + 22.3556i 1.38075 + 0.925082i
\(585\) −6.70573 14.0401i −0.277248 0.580486i
\(586\) 11.0012 25.5767i 0.454455 1.05656i
\(587\) 6.11843 + 4.44530i 0.252535 + 0.183477i 0.706849 0.707364i \(-0.250116\pi\)
−0.454315 + 0.890841i \(0.650116\pi\)
\(588\) 11.8222 1.15343i 0.487539 0.0475666i
\(589\) 0.545218 0.396124i 0.0224653 0.0163220i
\(590\) −37.5119 7.96252i −1.54434 0.327812i
\(591\) −12.8583 + 8.71225i −0.528918 + 0.358374i
\(592\) −10.0472 + 12.3651i −0.412936 + 0.508204i
\(593\) 6.82333i 0.280200i 0.990137 + 0.140100i \(0.0447425\pi\)
−0.990137 + 0.140100i \(0.955258\pi\)
\(594\) −26.8156 5.17055i −1.10026 0.212150i
\(595\) −21.8852 10.0708i −0.897204 0.412863i
\(596\) −12.9489 + 12.2676i −0.530408 + 0.502502i
\(597\) −21.2741 16.5495i −0.870692 0.677327i
\(598\) 17.0597 + 7.33782i 0.697623 + 0.300066i
\(599\) −4.75121 −0.194129 −0.0970646 0.995278i \(-0.530945\pi\)
−0.0970646 + 0.995278i \(0.530945\pi\)
\(600\) −5.56095 + 23.8553i −0.227025 + 0.973889i
\(601\) 22.0058 0.897636 0.448818 0.893623i \(-0.351845\pi\)
0.448818 + 0.893623i \(0.351845\pi\)
\(602\) 3.25737 + 1.40108i 0.132760 + 0.0571037i
\(603\) −12.7675 20.2431i −0.519933 0.824362i
\(604\) −25.2095 + 23.8831i −1.02576 + 0.971791i
\(605\) −3.07543 5.48265i −0.125034 0.222902i
\(606\) 12.7262 + 23.1047i 0.516967 + 0.938565i
\(607\) 1.30410i 0.0529318i −0.999650 0.0264659i \(-0.991575\pi\)
0.999650 0.0264659i \(-0.00842534\pi\)
\(608\) 0.774768 5.26643i 0.0314210 0.213582i
\(609\) 8.55517 + 12.6264i 0.346673 + 0.511649i
\(610\) −9.21298 + 15.9676i −0.373022 + 0.646508i
\(611\) 17.6685 12.8369i 0.714793 0.519327i
\(612\) 8.45370 33.1469i 0.341721 1.33988i
\(613\) −5.64008 4.09776i −0.227801 0.165507i 0.468030 0.883712i \(-0.344964\pi\)
−0.695831 + 0.718205i \(0.744964\pi\)
\(614\) −10.4375 + 24.2662i −0.421224 + 0.979303i
\(615\) 28.2651 + 14.1481i 1.13976 + 0.570508i
\(616\) 11.0562 16.5023i 0.445468 0.664895i
\(617\) 3.63747 1.18189i 0.146439 0.0475809i −0.234880 0.972024i \(-0.575470\pi\)
0.381319 + 0.924443i \(0.375470\pi\)
\(618\) −18.0058 + 3.44984i −0.724299 + 0.138773i
\(619\) 10.4762 3.40392i 0.421073 0.136815i −0.0908137 0.995868i \(-0.528947\pi\)
0.511887 + 0.859053i \(0.328947\pi\)
\(620\) 3.03302 1.02911i 0.121809 0.0413299i
\(621\) 28.7363 6.29709i 1.15315 0.252693i
\(622\) −25.6900 + 5.80183i −1.03007 + 0.232632i
\(623\) 25.9977 18.8884i 1.04158 0.756750i
\(624\) 3.62164 + 15.6561i 0.144982 + 0.626746i
\(625\) −24.6813 + 3.97930i −0.987251 + 0.159172i
\(626\) 2.05594 + 3.45899i 0.0821718 + 0.138249i
\(627\) 1.68177 + 5.81901i 0.0671635 + 0.232389i
\(628\) 2.66179 + 2.80961i 0.106217 + 0.112116i
\(629\) 21.5975 + 7.01745i 0.861149 + 0.279804i
\(630\) 14.0776 11.1002i 0.560863 0.442243i
\(631\) −6.93087 + 2.25198i −0.275914 + 0.0896498i −0.443705 0.896173i \(-0.646336\pi\)
0.167792 + 0.985822i \(0.446336\pi\)
\(632\) 0.605655 + 15.9207i 0.0240917 + 0.633291i
\(633\) 5.19847 + 0.170633i 0.206621 + 0.00678207i
\(634\) 11.2377 + 1.03731i 0.446306 + 0.0411968i
\(635\) −27.6269 3.25045i −1.09634 0.128990i
\(636\) 18.1588 + 4.00163i 0.720042 + 0.158675i
\(637\) 6.43435 + 4.67483i 0.254938 + 0.185224i
\(638\) −24.3868 2.25105i −0.965482 0.0891198i
\(639\) 15.8831 + 1.04381i 0.628326 + 0.0412925i
\(640\) 10.9417 22.8096i 0.432509 0.901630i
\(641\) −0.666332 + 0.917128i −0.0263185 + 0.0362244i −0.821973 0.569526i \(-0.807127\pi\)
0.795655 + 0.605750i \(0.207127\pi\)
\(642\) −9.93811 + 5.47396i −0.392226 + 0.216040i
\(643\) 32.6717i 1.28845i −0.764837 0.644223i \(-0.777181\pi\)
0.764837 0.644223i \(-0.222819\pi\)
\(644\) −3.91684 + 21.0358i −0.154345 + 0.828928i
\(645\) −5.06965 + 0.840159i −0.199617 + 0.0330812i
\(646\) −7.40081 + 1.67140i −0.291181 + 0.0657604i
\(647\) −13.8619 + 42.6626i −0.544969 + 1.67724i 0.176095 + 0.984373i \(0.443653\pi\)
−0.721064 + 0.692869i \(0.756347\pi\)
\(648\) 19.1119 + 16.8147i 0.750788 + 0.660544i
\(649\) −45.0668 −1.76903
\(650\) −13.3845 + 9.47871i −0.524982 + 0.371785i
\(651\) −2.20442 0.797119i −0.0863981 0.0312416i
\(652\) 10.4610 1.36838i 0.409686 0.0535900i
\(653\) 30.5423 + 9.92381i 1.19521 + 0.388349i 0.837998 0.545673i \(-0.183726\pi\)
0.357216 + 0.934022i \(0.383726\pi\)
\(654\) 32.6748 + 4.10102i 1.27769 + 0.160363i
\(655\) 45.8531 + 21.1001i 1.79163 + 0.824448i
\(656\) −25.3357 20.5863i −0.989194 0.803759i
\(657\) 32.7483 + 27.2461i 1.27763 + 1.06297i
\(658\) 18.9120 + 16.5993i 0.737268 + 0.647109i
\(659\) 18.8963 + 13.7290i 0.736095 + 0.534804i 0.891486 0.453049i \(-0.149664\pi\)
−0.155391 + 0.987853i \(0.549664\pi\)
\(660\) −0.571661 + 28.7811i −0.0222519 + 1.12030i
\(661\) 24.2557 17.6228i 0.943436 0.685447i −0.00580901 0.999983i \(-0.501849\pi\)
0.949245 + 0.314536i \(0.101849\pi\)
\(662\) −27.6373 2.55109i −1.07416 0.0991510i
\(663\) 18.9617 12.8477i 0.736413 0.498964i
\(664\) 26.4201 20.7746i 1.02530 0.806211i
\(665\) −3.61215 1.66219i −0.140073 0.0644569i
\(666\) −11.9564 + 11.9423i −0.463300 + 0.462754i
\(667\) 25.0902 8.15231i 0.971498 0.315659i
\(668\) 20.3180 37.3471i 0.786127 1.44500i
\(669\) −26.8189 0.880296i −1.03688 0.0340342i
\(670\) −18.7431 + 16.8858i −0.724110 + 0.652355i
\(671\) −6.69482 + 20.6045i −0.258451 + 0.795429i
\(672\) −16.6766 + 8.04420i −0.643314 + 0.310312i
\(673\) −6.12652 + 4.45118i −0.236160 + 0.171580i −0.699571 0.714563i \(-0.746625\pi\)
0.463411 + 0.886144i \(0.346625\pi\)
\(674\) 19.7606 + 33.2460i 0.761150 + 1.28059i
\(675\) −8.48446 + 24.5563i −0.326567 + 0.945174i
\(676\) 7.28321 13.3875i 0.280124 0.514903i
\(677\) −17.3650 23.9009i −0.667391 0.918585i 0.332307 0.943171i \(-0.392173\pi\)
−0.999698 + 0.0245865i \(0.992173\pi\)
\(678\) −4.23106 + 33.7109i −0.162493 + 1.29466i
\(679\) 17.4936 + 5.68400i 0.671341 + 0.218132i
\(680\) −35.9456 2.84899i −1.37845 0.109254i
\(681\) 0.208097 6.33983i 0.00797430 0.242943i
\(682\) 3.23564 1.92319i 0.123899 0.0736426i
\(683\) −8.86970 27.2981i −0.339390 1.04453i −0.964519 0.264013i \(-0.914954\pi\)
0.625129 0.780521i \(-0.285046\pi\)
\(684\) 1.39528 5.47089i 0.0533500 0.209185i
\(685\) 1.85046 + 9.26929i 0.0707023 + 0.354161i
\(686\) −11.0126 + 25.6031i −0.420461 + 0.977530i
\(687\) 4.34224 + 6.40864i 0.165667 + 0.244505i
\(688\) 5.29958 + 0.286570i 0.202045 + 0.0109254i
\(689\) 7.31804 + 10.0724i 0.278795 + 0.383728i
\(690\) −11.6845 28.7239i −0.444823 1.09350i
\(691\) −14.4063 + 19.8286i −0.548042 + 0.754315i −0.989745 0.142847i \(-0.954374\pi\)
0.441703 + 0.897161i \(0.354374\pi\)
\(692\) 4.80949 25.8299i 0.182829 0.981906i
\(693\) 13.4749 16.1961i 0.511869 0.615238i
\(694\) −6.41380 + 7.30742i −0.243465 + 0.277386i
\(695\) 8.65180 + 1.01793i 0.328181 + 0.0386122i
\(696\) 18.5380 + 13.3216i 0.702682 + 0.504954i
\(697\) −14.3785 + 44.2525i −0.544625 + 1.67618i
\(698\) −15.5365 6.68266i −0.588066 0.252943i
\(699\) −10.1107 + 27.9611i −0.382423 + 1.05759i
\(700\) −14.0503 12.6369i −0.531053 0.477629i
\(701\) 6.63847i 0.250732i −0.992111 0.125366i \(-0.959990\pi\)
0.992111 0.125366i \(-0.0400104\pi\)
\(702\) 2.10264 + 16.9141i 0.0793591 + 0.638383i
\(703\) 3.56467 + 1.15823i 0.134444 + 0.0436835i
\(704\) 7.01257 28.8920i 0.264296 1.08891i
\(705\) −36.0584 5.44706i −1.35804 0.205148i
\(706\) −2.21392 1.94318i −0.0833219 0.0731326i
\(707\) −20.3497 −0.765330
\(708\) 36.2221 + 21.2748i 1.36131 + 0.799556i
\(709\) 18.6294 + 13.5350i 0.699640 + 0.508318i 0.879815 0.475316i \(-0.157666\pi\)
−0.180175 + 0.983635i \(0.557666\pi\)
\(710\) −1.75845 16.6860i −0.0659935 0.626213i
\(711\) −1.10816 + 16.8623i −0.0415592 + 0.632385i
\(712\) 26.7716 39.9586i 1.00331 1.49751i
\(713\) −2.38328 + 3.28030i −0.0892545 + 0.122848i
\(714\) 19.2524 + 18.0500i 0.720503 + 0.675505i
\(715\) −13.0738 + 14.1628i −0.488933 + 0.529661i
\(716\) 25.3431 12.0622i 0.947117 0.450786i
\(717\) −0.618097 + 18.8308i −0.0230832 + 0.703248i
\(718\) 1.17633 + 1.97910i 0.0439001 + 0.0738592i
\(719\) −3.31117 10.1907i −0.123486 0.380050i 0.870136 0.492811i \(-0.164031\pi\)
−0.993622 + 0.112761i \(0.964031\pi\)
\(720\) 14.0462 22.8627i 0.523472 0.852043i
\(721\) 4.37063 13.4514i 0.162771 0.500957i
\(722\) 24.9885 5.64340i 0.929974 0.210026i
\(723\) 20.4513 5.91069i 0.760591 0.219821i
\(724\) −22.7894 + 41.8897i −0.846960 + 1.55682i
\(725\) −5.40760 + 22.6626i −0.200833 + 0.841668i
\(726\) 1.29582 + 6.76329i 0.0480924 + 0.251009i
\(727\) −28.7728 39.6023i −1.06712 1.46877i −0.872956 0.487800i \(-0.837800\pi\)
−0.194167 0.980968i \(-0.562200\pi\)
\(728\) −11.9276 3.37998i −0.442065 0.125270i
\(729\) 18.3173 + 19.8363i 0.678417 + 0.734677i
\(730\) 22.4417 38.8950i 0.830603 1.43957i
\(731\) −2.33762 7.19445i −0.0864599 0.266096i
\(732\) 15.1077 13.4003i 0.558398 0.495288i
\(733\) 4.62488 + 14.2339i 0.170824 + 0.525741i 0.999418 0.0341080i \(-0.0108590\pi\)
−0.828594 + 0.559849i \(0.810859\pi\)
\(734\) 35.4925 + 3.27618i 1.31005 + 0.120926i
\(735\) −2.17125 13.1017i −0.0800878 0.483262i
\(736\) 5.35810 + 31.5751i 0.197502 + 1.16387i
\(737\) −17.4266 + 23.9857i −0.641918 + 0.883524i
\(738\) −24.4693 24.4982i −0.900727 0.901789i
\(739\) 8.95027 + 12.3190i 0.329241 + 0.453161i 0.941260 0.337681i \(-0.109643\pi\)
−0.612020 + 0.790843i \(0.709643\pi\)
\(740\) 14.5454 + 10.2827i 0.534700 + 0.377999i
\(741\) 3.12964 2.12052i 0.114970 0.0778992i
\(742\) −9.46288 + 10.7813i −0.347393 + 0.395794i
\(743\) −46.5598 −1.70811 −0.854057 0.520180i \(-0.825865\pi\)
−0.854057 + 0.520180i \(0.825865\pi\)
\(744\) −3.50850 + 0.0182856i −0.128628 + 0.000670381i
\(745\) 14.6538 + 13.5270i 0.536872 + 0.495590i
\(746\) −10.8313 + 2.44615i −0.396562 + 0.0895598i
\(747\) 30.1521 19.0172i 1.10321 0.695804i
\(748\) −42.0183 + 5.49631i −1.53634 + 0.200965i
\(749\) 8.75309i 0.319831i
\(750\) 27.0273 + 4.41847i 0.986899 + 0.161340i
\(751\) 25.6914i 0.937494i −0.883333 0.468747i \(-0.844706\pi\)
0.883333 0.468747i \(-0.155294\pi\)
\(752\) 35.1394 + 13.5558i 1.28140 + 0.494328i
\(753\) −28.1229 + 36.1515i −1.02486 + 1.31744i
\(754\) 3.36714 + 14.9094i 0.122624 + 0.542969i
\(755\) 28.5286 + 26.3349i 1.03826 + 0.958424i
\(756\) −18.4760 + 6.65632i −0.671967 + 0.242088i
\(757\) 1.21958 0.0443264 0.0221632 0.999754i \(-0.492945\pi\)
0.0221632 + 0.999754i \(0.492945\pi\)
\(758\) −1.47327 1.29311i −0.0535116 0.0469678i
\(759\) −20.4418 30.1697i −0.741991 1.09509i
\(760\) −5.93282 0.470225i −0.215206 0.0170569i
\(761\) 2.75204 + 3.78786i 0.0997613 + 0.137310i 0.855979 0.517010i \(-0.172955\pi\)
−0.756218 + 0.654320i \(0.772955\pi\)
\(762\) 27.5828 + 12.9523i 0.999219 + 0.469213i
\(763\) −14.9330 + 20.5535i −0.540611 + 0.744087i
\(764\) 0.974065 + 7.44656i 0.0352404 + 0.269407i
\(765\) −37.6088 6.95019i −1.35975 0.251285i
\(766\) 0.793375 8.59505i 0.0286658 0.310552i
\(767\) 8.69170 + 26.7503i 0.313839 + 0.965897i
\(768\) −19.2754 + 19.9113i −0.695542 + 0.718486i
\(769\) −5.10159 15.7011i −0.183968 0.566195i 0.815961 0.578107i \(-0.196208\pi\)
−0.999929 + 0.0119117i \(0.996208\pi\)
\(770\) −19.2360 11.0988i −0.693217 0.399972i
\(771\) −19.5711 15.2247i −0.704835 0.548304i
\(772\) −22.2562 23.4922i −0.801019 0.845504i
\(773\) −5.18022 7.12996i −0.186320 0.256447i 0.705631 0.708579i \(-0.250663\pi\)
−0.891951 + 0.452132i \(0.850663\pi\)
\(774\) 5.55944 + 0.883889i