Properties

Label 300.2.w.a.67.7
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.7
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12003 - 0.863445i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(0.508925 + 1.93417i) q^{4} +(-1.70279 + 1.44932i) q^{5} +(0.971166 + 1.02803i) q^{6} +(1.87554 - 1.87554i) q^{7} +(1.10004 - 2.60575i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.12003 - 0.863445i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(0.508925 + 1.93417i) q^{4} +(-1.70279 + 1.44932i) q^{5} +(0.971166 + 1.02803i) q^{6} +(1.87554 - 1.87554i) q^{7} +(1.10004 - 2.60575i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.15857 - 0.153014i) q^{10} +(-2.91356 + 0.946674i) q^{11} +(-0.200089 - 1.98997i) q^{12} +(-1.26064 - 2.47414i) q^{13} +(-3.72009 + 0.481232i) q^{14} +(1.90854 - 1.16510i) q^{15} +(-3.48199 + 1.96869i) q^{16} +(-0.901092 - 5.68927i) q^{17} +(-0.798391 - 1.16729i) q^{18} +(-3.66420 - 2.66220i) q^{19} +(-3.66981 - 2.55588i) q^{20} +(-2.14585 + 1.55905i) q^{21} +(4.08067 + 1.45540i) q^{22} +(-3.07781 + 6.04055i) q^{23} +(-1.49412 + 2.40158i) q^{24} +(0.798959 - 4.93575i) q^{25} +(-0.724334 + 3.85959i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(4.58212 + 2.67310i) q^{28} +(-4.48892 - 6.17846i) q^{29} +(-3.14362 - 0.342980i) q^{30} +(1.14385 - 1.57437i) q^{31} +(5.59978 + 0.801520i) q^{32} +(3.02578 - 0.479237i) q^{33} +(-3.90312 + 7.15018i) q^{34} +(-0.475391 + 5.91190i) q^{35} +(-0.113673 + 1.99677i) q^{36} +(-4.87556 + 2.48422i) q^{37} +(1.80534 + 6.14557i) q^{38} +(0.858075 + 2.64088i) q^{39} +(1.90343 + 6.03133i) q^{40} +(-1.46647 + 4.51334i) q^{41} +(3.74957 + 0.106643i) q^{42} +(-0.964168 - 0.964168i) q^{43} +(-3.31381 - 5.15353i) q^{44} +(-2.06731 + 0.852193i) q^{45} +(8.66292 - 4.10806i) q^{46} +(1.87467 - 11.8362i) q^{47} +(3.74709 - 1.39975i) q^{48} -0.0353135i q^{49} +(-5.15661 + 4.83832i) q^{50} +5.76019i q^{51} +(4.14382 - 3.69743i) q^{52} +(1.98116 - 12.5085i) q^{53} +(0.605956 + 1.27782i) q^{54} +(3.58914 - 5.83466i) q^{55} +(-2.82403 - 6.95035i) q^{56} +(3.20263 + 3.20263i) q^{57} +(-0.307052 + 10.7960i) q^{58} +(1.89101 - 5.81992i) q^{59} +(3.22480 + 3.09849i) q^{60} +(2.51370 + 7.73638i) q^{61} +(-2.64052 + 0.775690i) q^{62} +(2.36332 - 1.20417i) q^{63} +(-5.57984 - 5.73283i) q^{64} +(5.73240 + 2.38586i) q^{65} +(-3.80276 - 2.07584i) q^{66} +(-1.31873 + 0.208866i) q^{67} +(10.5454 - 4.63827i) q^{68} +(3.98487 - 5.48470i) q^{69} +(5.63705 - 6.21102i) q^{70} +(7.46718 + 10.2777i) q^{71} +(1.85142 - 2.13828i) q^{72} +(-3.04977 - 1.55394i) q^{73} +(7.60576 + 1.42738i) q^{74} +(-1.56124 + 4.75000i) q^{75} +(3.28432 - 8.44202i) q^{76} +(-3.68898 + 7.24004i) q^{77} +(1.31919 - 3.69876i) q^{78} +(-0.348097 + 0.252907i) q^{79} +(3.07583 - 8.39877i) q^{80} +(0.809017 + 0.587785i) q^{81} +(5.53951 - 3.78884i) q^{82} +(1.82263 + 11.5076i) q^{83} +(-4.10754 - 3.35699i) q^{84} +(9.77992 + 8.38164i) q^{85} +(0.247389 + 1.91240i) q^{86} +(3.46713 + 6.80462i) q^{87} +(-0.738228 + 8.63339i) q^{88} +(2.37328 - 0.771124i) q^{89} +(3.05127 + 0.830528i) q^{90} +(-7.00472 - 2.27597i) q^{91} +(-13.2498 - 2.87881i) q^{92} +(-1.37605 + 1.37605i) q^{93} +(-12.3196 + 11.6382i) q^{94} +(10.0977 - 0.777436i) q^{95} +(-5.40545 - 1.66765i) q^{96} +(-12.2095 - 1.93379i) q^{97} +(-0.0304912 + 0.0395521i) q^{98} -3.06350 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12003 0.863445i −0.791979 0.610548i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) 0.508925 + 1.93417i 0.254463 + 0.967083i
\(5\) −1.70279 + 1.44932i −0.761509 + 0.648154i
\(6\) 0.971166 + 1.02803i 0.396477 + 0.419690i
\(7\) 1.87554 1.87554i 0.708888 0.708888i −0.257413 0.966301i \(-0.582870\pi\)
0.966301 + 0.257413i \(0.0828702\pi\)
\(8\) 1.10004 2.60575i 0.388921 0.921271i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 3.15857 0.153014i 0.998829 0.0483872i
\(11\) −2.91356 + 0.946674i −0.878472 + 0.285433i −0.713323 0.700836i \(-0.752811\pi\)
−0.165149 + 0.986269i \(0.552811\pi\)
\(12\) −0.200089 1.98997i −0.0577608 0.574454i
\(13\) −1.26064 2.47414i −0.349637 0.686202i 0.647479 0.762083i \(-0.275823\pi\)
−0.997117 + 0.0758808i \(0.975823\pi\)
\(14\) −3.72009 + 0.481232i −0.994235 + 0.128615i
\(15\) 1.90854 1.16510i 0.492784 0.300827i
\(16\) −3.48199 + 1.96869i −0.870498 + 0.492173i
\(17\) −0.901092 5.68927i −0.218547 1.37985i −0.816049 0.577983i \(-0.803840\pi\)
0.597502 0.801867i \(-0.296160\pi\)
\(18\) −0.798391 1.16729i −0.188182 0.275134i
\(19\) −3.66420 2.66220i −0.840625 0.610750i 0.0819203 0.996639i \(-0.473895\pi\)
−0.922545 + 0.385889i \(0.873895\pi\)
\(20\) −3.66981 2.55588i −0.820594 0.571511i
\(21\) −2.14585 + 1.55905i −0.468263 + 0.340213i
\(22\) 4.08067 + 1.45540i 0.870002 + 0.310292i
\(23\) −3.07781 + 6.04055i −0.641768 + 1.25954i 0.309419 + 0.950926i \(0.399866\pi\)
−0.951187 + 0.308615i \(0.900134\pi\)
\(24\) −1.49412 + 2.40158i −0.304986 + 0.490221i
\(25\) 0.798959 4.93575i 0.159792 0.987151i
\(26\) −0.724334 + 3.85959i −0.142054 + 0.756928i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) 4.58212 + 2.67310i 0.865939 + 0.505168i
\(29\) −4.48892 6.17846i −0.833571 1.14731i −0.987248 0.159191i \(-0.949112\pi\)
0.153677 0.988121i \(-0.450888\pi\)
\(30\) −3.14362 0.342980i −0.573944 0.0626193i
\(31\) 1.14385 1.57437i 0.205441 0.282765i −0.693847 0.720123i \(-0.744086\pi\)
0.899288 + 0.437357i \(0.144086\pi\)
\(32\) 5.59978 + 0.801520i 0.989911 + 0.141690i
\(33\) 3.02578 0.479237i 0.526721 0.0834245i
\(34\) −3.90312 + 7.15018i −0.669380 + 1.22625i
\(35\) −0.475391 + 5.91190i −0.0803557 + 0.999294i
\(36\) −0.113673 + 1.99677i −0.0189456 + 0.332794i
\(37\) −4.87556 + 2.48422i −0.801538 + 0.408404i −0.806243 0.591585i \(-0.798502\pi\)
0.00470480 + 0.999989i \(0.498502\pi\)
\(38\) 1.80534 + 6.14557i 0.292866 + 0.996943i
\(39\) 0.858075 + 2.64088i 0.137402 + 0.422880i
\(40\) 1.90343 + 6.03133i 0.300959 + 0.953637i
\(41\) −1.46647 + 4.51334i −0.229024 + 0.704865i 0.768834 + 0.639449i \(0.220837\pi\)
−0.997858 + 0.0654159i \(0.979163\pi\)
\(42\) 3.74957 + 0.106643i 0.578571 + 0.0164553i
\(43\) −0.964168 0.964168i −0.147034 0.147034i 0.629758 0.776792i \(-0.283154\pi\)
−0.776792 + 0.629758i \(0.783154\pi\)
\(44\) −3.31381 5.15353i −0.499576 0.776923i
\(45\) −2.06731 + 0.852193i −0.308176 + 0.127037i
\(46\) 8.66292 4.10806i 1.27728 0.605700i
\(47\) 1.87467 11.8362i 0.273449 1.72649i −0.343209 0.939259i \(-0.611514\pi\)
0.616658 0.787231i \(-0.288486\pi\)
\(48\) 3.74709 1.39975i 0.540846 0.202036i
\(49\) 0.0353135i 0.00504478i
\(50\) −5.15661 + 4.83832i −0.729255 + 0.684242i
\(51\) 5.76019i 0.806587i
\(52\) 4.14382 3.69743i 0.574644 0.512741i
\(53\) 1.98116 12.5085i 0.272133 1.71818i −0.351266 0.936276i \(-0.614249\pi\)
0.623399 0.781904i \(-0.285751\pi\)
\(54\) 0.605956 + 1.27782i 0.0824602 + 0.173889i
\(55\) 3.58914 5.83466i 0.483960 0.786745i
\(56\) −2.82403 6.95035i −0.377376 0.928780i
\(57\) 3.20263 + 3.20263i 0.424198 + 0.424198i
\(58\) −0.307052 + 10.7960i −0.0403179 + 1.41758i
\(59\) 1.89101 5.81992i 0.246188 0.757690i −0.749250 0.662287i \(-0.769586\pi\)
0.995439 0.0954029i \(-0.0304139\pi\)
\(60\) 3.22480 + 3.09849i 0.416320 + 0.400014i
\(61\) 2.51370 + 7.73638i 0.321846 + 0.990542i 0.972844 + 0.231462i \(0.0743508\pi\)
−0.650998 + 0.759080i \(0.725649\pi\)
\(62\) −2.64052 + 0.775690i −0.335347 + 0.0985127i
\(63\) 2.36332 1.20417i 0.297750 0.151711i
\(64\) −5.57984 5.73283i −0.697481 0.716604i
\(65\) 5.73240 + 2.38586i 0.711017 + 0.295930i
\(66\) −3.80276 2.07584i −0.468087 0.255518i
\(67\) −1.31873 + 0.208866i −0.161108 + 0.0255170i −0.236467 0.971639i \(-0.575990\pi\)
0.0753593 + 0.997156i \(0.475990\pi\)
\(68\) 10.5454 4.63827i 1.27882 0.562473i
\(69\) 3.98487 5.48470i 0.479722 0.660280i
\(70\) 5.63705 6.21102i 0.673757 0.742359i
\(71\) 7.46718 + 10.2777i 0.886192 + 1.21974i 0.974667 + 0.223660i \(0.0718005\pi\)
−0.0884755 + 0.996078i \(0.528199\pi\)
\(72\) 1.85142 2.13828i 0.218191 0.251999i
\(73\) −3.04977 1.55394i −0.356949 0.181874i 0.266315 0.963886i \(-0.414194\pi\)
−0.623264 + 0.782012i \(0.714194\pi\)
\(74\) 7.60576 + 1.42738i 0.884152 + 0.165930i
\(75\) −1.56124 + 4.75000i −0.180277 + 0.548483i
\(76\) 3.28432 8.44202i 0.376738 0.968367i
\(77\) −3.68898 + 7.24004i −0.420399 + 0.825079i
\(78\) 1.31919 3.69876i 0.149369 0.418802i
\(79\) −0.348097 + 0.252907i −0.0391640 + 0.0284543i −0.607195 0.794553i \(-0.707705\pi\)
0.568031 + 0.823007i \(0.307705\pi\)
\(80\) 3.07583 8.39877i 0.343888 0.939011i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 5.53951 3.78884i 0.611736 0.418408i
\(83\) 1.82263 + 11.5076i 0.200060 + 1.26313i 0.859408 + 0.511291i \(0.170832\pi\)
−0.659348 + 0.751838i \(0.729168\pi\)
\(84\) −4.10754 3.35699i −0.448169 0.366277i
\(85\) 9.77992 + 8.38164i 1.06078 + 0.909116i
\(86\) 0.247389 + 1.91240i 0.0266766 + 0.206219i
\(87\) 3.46713 + 6.80462i 0.371715 + 0.729531i
\(88\) −0.738228 + 8.63339i −0.0786954 + 0.920322i
\(89\) 2.37328 0.771124i 0.251567 0.0817390i −0.180519 0.983571i \(-0.557778\pi\)
0.432086 + 0.901832i \(0.357778\pi\)
\(90\) 3.05127 + 0.830528i 0.321632 + 0.0875454i
\(91\) −7.00472 2.27597i −0.734294 0.238587i
\(92\) −13.2498 2.87881i −1.38139 0.300137i
\(93\) −1.37605 + 1.37605i −0.142690 + 0.142690i
\(94\) −12.3196 + 11.6382i −1.27067 + 1.20039i
\(95\) 10.0977 0.777436i 1.03600 0.0797633i
\(96\) −5.40545 1.66765i −0.551692 0.170204i
\(97\) −12.2095 1.93379i −1.23968 0.196346i −0.498047 0.867150i \(-0.665949\pi\)
−0.741635 + 0.670804i \(0.765949\pi\)
\(98\) −0.0304912 + 0.0395521i −0.00308008 + 0.00399536i
\(99\) −3.06350 −0.307893
\(100\) 9.95317 0.966609i 0.995317 0.0966609i
\(101\) 5.29258 0.526631 0.263315 0.964710i \(-0.415184\pi\)
0.263315 + 0.964710i \(0.415184\pi\)
\(102\) 4.97361 6.45157i 0.492460 0.638801i
\(103\) 5.18961 + 0.821954i 0.511348 + 0.0809895i 0.406776 0.913528i \(-0.366653\pi\)
0.104572 + 0.994517i \(0.466653\pi\)
\(104\) −7.83372 + 0.563261i −0.768159 + 0.0552323i
\(105\) 1.39436 5.76475i 0.136076 0.562582i
\(106\) −13.0194 + 12.2993i −1.26455 + 1.19461i
\(107\) −3.87709 + 3.87709i −0.374812 + 0.374812i −0.869226 0.494414i \(-0.835383\pi\)
0.494414 + 0.869226i \(0.335383\pi\)
\(108\) 0.424637 1.95440i 0.0408607 0.188062i
\(109\) 13.2787 + 4.31450i 1.27186 + 0.413254i 0.865708 0.500550i \(-0.166869\pi\)
0.406156 + 0.913804i \(0.366869\pi\)
\(110\) −9.05785 + 3.43595i −0.863632 + 0.327605i
\(111\) 5.20416 1.69093i 0.493957 0.160496i
\(112\) −2.83826 + 10.2230i −0.268190 + 0.965981i
\(113\) −0.889930 1.74659i −0.0837175 0.164305i 0.845352 0.534209i \(-0.179391\pi\)
−0.929070 + 0.369904i \(0.879391\pi\)
\(114\) −0.821739 6.35232i −0.0769629 0.594950i
\(115\) −3.51381 14.7465i −0.327665 1.37512i
\(116\) 9.66565 11.8267i 0.897433 1.09808i
\(117\) −0.434385 2.74260i −0.0401589 0.253554i
\(118\) −7.14317 + 4.88570i −0.657582 + 0.449765i
\(119\) −12.3605 8.98043i −1.13308 0.823234i
\(120\) −0.936488 6.25484i −0.0854893 0.570986i
\(121\) −1.30653 + 0.949249i −0.118775 + 0.0862954i
\(122\) 3.86452 10.8354i 0.349877 0.980991i
\(123\) 2.15446 4.22836i 0.194261 0.381259i
\(124\) 3.62722 + 1.41115i 0.325734 + 0.126725i
\(125\) 5.79302 + 9.56248i 0.518143 + 0.855294i
\(126\) −3.68672 0.691891i −0.328439 0.0616386i
\(127\) −10.9630 5.58595i −0.972812 0.495673i −0.106032 0.994363i \(-0.533815\pi\)
−0.866780 + 0.498690i \(0.833815\pi\)
\(128\) 1.29960 + 11.2388i 0.114869 + 0.993381i
\(129\) 0.801468 + 1.10313i 0.0705653 + 0.0971249i
\(130\) −4.36039 7.62185i −0.382431 0.668480i
\(131\) 0.398490 0.548475i 0.0348163 0.0479205i −0.791254 0.611488i \(-0.790571\pi\)
0.826070 + 0.563567i \(0.190571\pi\)
\(132\) 2.46682 + 5.60847i 0.214709 + 0.488155i
\(133\) −11.8654 + 1.87930i −1.02886 + 0.162956i
\(134\) 1.65735 + 0.904712i 0.143174 + 0.0781552i
\(135\) 2.17517 0.518303i 0.187209 0.0446084i
\(136\) −15.8160 3.91038i −1.35621 0.335312i
\(137\) −17.7950 + 9.06702i −1.52033 + 0.774648i −0.996994 0.0774774i \(-0.975313\pi\)
−0.523338 + 0.852125i \(0.675313\pi\)
\(138\) −9.19890 + 2.70230i −0.783063 + 0.230035i
\(139\) −0.0167604 0.0515832i −0.00142160 0.00437523i 0.950343 0.311204i \(-0.100732\pi\)
−0.951765 + 0.306829i \(0.900732\pi\)
\(140\) −11.6765 + 2.08923i −0.986847 + 0.176572i
\(141\) −3.70319 + 11.3972i −0.311864 + 0.959820i
\(142\) 0.510773 17.9588i 0.0428631 1.50707i
\(143\) 6.01514 + 6.01514i 0.503011 + 0.503011i
\(144\) −3.91993 + 0.796341i −0.326661 + 0.0663618i
\(145\) 16.5982 + 4.01474i 1.37841 + 0.333406i
\(146\) 2.07409 + 4.37376i 0.171653 + 0.361975i
\(147\) −0.00552424 + 0.0348787i −0.000455632 + 0.00287675i
\(148\) −7.28620 8.16586i −0.598922 0.671230i
\(149\) 1.12997i 0.0925708i 0.998928 + 0.0462854i \(0.0147384\pi\)
−0.998928 + 0.0462854i \(0.985262\pi\)
\(150\) 5.85000 3.97209i 0.477651 0.324319i
\(151\) 5.68829i 0.462907i −0.972846 0.231453i \(-0.925652\pi\)
0.972846 0.231453i \(-0.0743481\pi\)
\(152\) −10.9678 + 6.61947i −0.889603 + 0.536910i
\(153\) 0.901092 5.68927i 0.0728489 0.459950i
\(154\) 10.3831 4.92381i 0.836697 0.396772i
\(155\) 0.334036 + 4.33861i 0.0268304 + 0.348486i
\(156\) −4.67121 + 3.00367i −0.373996 + 0.240486i
\(157\) −6.65160 6.65160i −0.530856 0.530856i 0.389971 0.920827i \(-0.372485\pi\)
−0.920827 + 0.389971i \(0.872485\pi\)
\(158\) 0.608250 + 0.0172994i 0.0483898 + 0.00137627i
\(159\) −3.91353 + 12.0446i −0.310363 + 0.955200i
\(160\) −10.6969 + 6.75105i −0.845663 + 0.533717i
\(161\) 5.55673 + 17.1019i 0.437932 + 1.34782i
\(162\) −0.398601 1.35688i −0.0313171 0.106606i
\(163\) −7.61012 + 3.87755i −0.596070 + 0.303713i −0.725875 0.687827i \(-0.758565\pi\)
0.129805 + 0.991540i \(0.458565\pi\)
\(164\) −9.47586 0.539449i −0.739941 0.0421239i
\(165\) −4.45770 + 5.20136i −0.347031 + 0.404925i
\(166\) 7.89482 14.4626i 0.612757 1.12252i
\(167\) 16.7839 2.65830i 1.29877 0.205706i 0.531518 0.847047i \(-0.321622\pi\)
0.767256 + 0.641342i \(0.221622\pi\)
\(168\) 1.70198 + 7.30656i 0.131311 + 0.563713i
\(169\) 3.10906 4.27925i 0.239158 0.329173i
\(170\) −3.71670 17.8321i −0.285058 1.36766i
\(171\) −2.66220 3.66420i −0.203583 0.280208i
\(172\) 1.37417 2.35555i 0.104780 0.179609i
\(173\) 14.2524 + 7.26195i 1.08359 + 0.552116i 0.902210 0.431298i \(-0.141944\pi\)
0.181378 + 0.983413i \(0.441944\pi\)
\(174\) 1.99214 10.6150i 0.151023 0.804724i
\(175\) −7.75873 10.7557i −0.586505 0.813054i
\(176\) 8.28129 9.03221i 0.624226 0.680829i
\(177\) −2.77816 + 5.45245i −0.208820 + 0.409831i
\(178\) −3.32396 1.18551i −0.249141 0.0888580i
\(179\) 2.73419 1.98651i 0.204363 0.148479i −0.480896 0.876777i \(-0.659689\pi\)
0.685260 + 0.728299i \(0.259689\pi\)
\(180\) −2.70039 3.56482i −0.201275 0.265706i
\(181\) −6.86505 4.98775i −0.510275 0.370736i 0.302653 0.953101i \(-0.402128\pi\)
−0.812928 + 0.582364i \(0.802128\pi\)
\(182\) 5.88031 + 8.59734i 0.435877 + 0.637278i
\(183\) −1.27252 8.03436i −0.0940672 0.593917i
\(184\) 12.3544 + 14.6648i 0.910781 + 1.08110i
\(185\) 4.70161 11.2963i 0.345669 0.830523i
\(186\) 2.72936 0.353071i 0.200126 0.0258884i
\(187\) 8.01127 + 15.7230i 0.585842 + 1.14978i
\(188\) 23.8473 2.39782i 1.73924 0.174879i
\(189\) −2.52260 + 0.819642i −0.183492 + 0.0596202i
\(190\) −11.9810 7.84807i −0.869193 0.569359i
\(191\) −23.0771 7.49819i −1.66980 0.542550i −0.686908 0.726744i \(-0.741033\pi\)
−0.982890 + 0.184194i \(0.941033\pi\)
\(192\) 4.61434 + 6.53513i 0.333011 + 0.471632i
\(193\) −17.1394 + 17.1394i −1.23372 + 1.23372i −0.271192 + 0.962525i \(0.587418\pi\)
−0.962525 + 0.271192i \(0.912582\pi\)
\(194\) 12.0052 + 12.7081i 0.861924 + 0.912388i
\(195\) −5.28859 3.25324i −0.378724 0.232969i
\(196\) 0.0683021 0.0179719i 0.00487872 0.00128371i
\(197\) 12.7478 + 2.01906i 0.908247 + 0.143852i 0.593042 0.805172i \(-0.297927\pi\)
0.315205 + 0.949024i \(0.397927\pi\)
\(198\) 3.43121 + 2.64517i 0.243845 + 0.187984i
\(199\) 15.5227 1.10038 0.550189 0.835040i \(-0.314556\pi\)
0.550189 + 0.835040i \(0.314556\pi\)
\(200\) −11.9824 7.51139i −0.847287 0.531135i
\(201\) 1.33516 0.0941752
\(202\) −5.92783 4.56985i −0.417081 0.321533i
\(203\) −20.0071 3.16882i −1.40422 0.222407i
\(204\) −11.1412 + 2.93150i −0.780037 + 0.205246i
\(205\) −4.04417 9.81063i −0.282457 0.685204i
\(206\) −5.10280 5.40156i −0.355529 0.376344i
\(207\) −4.79380 + 4.79380i −0.333192 + 0.333192i
\(208\) 9.26033 + 6.13312i 0.642088 + 0.425255i
\(209\) 13.1961 + 4.28767i 0.912794 + 0.296585i
\(210\) −6.53927 + 5.25272i −0.451252 + 0.362472i
\(211\) −1.95961 + 0.636716i −0.134905 + 0.0438334i −0.375691 0.926745i \(-0.622595\pi\)
0.240786 + 0.970578i \(0.422595\pi\)
\(212\) 25.2018 2.53402i 1.73087 0.174037i
\(213\) −5.76746 11.3193i −0.395180 0.775585i
\(214\) 7.69010 0.994794i 0.525684 0.0680027i
\(215\) 3.03916 + 0.244386i 0.207269 + 0.0166670i
\(216\) −2.16312 + 1.82233i −0.147182 + 0.123994i
\(217\) −0.807464 5.09813i −0.0548143 0.346084i
\(218\) −11.1471 16.2977i −0.754979 1.10382i
\(219\) 2.76913 + 2.01189i 0.187121 + 0.135951i
\(220\) 13.1118 + 3.97259i 0.883997 + 0.267832i
\(221\) −12.9401 + 9.40152i −0.870444 + 0.632415i
\(222\) −7.28883 2.59961i −0.489194 0.174474i
\(223\) 9.43662 18.5204i 0.631923 1.24022i −0.323849 0.946109i \(-0.604977\pi\)
0.955772 0.294110i \(-0.0950231\pi\)
\(224\) 12.0059 8.99934i 0.802179 0.601294i
\(225\) 2.28509 4.44729i 0.152339 0.296486i
\(226\) −0.511335 + 2.72463i −0.0340135 + 0.181240i
\(227\) 4.30929 + 2.19569i 0.286018 + 0.145733i 0.591114 0.806588i \(-0.298688\pi\)
−0.305096 + 0.952322i \(0.598688\pi\)
\(228\) −4.56451 + 7.82431i −0.302292 + 0.518177i
\(229\) 5.84117 + 8.03968i 0.385996 + 0.531277i 0.957160 0.289558i \(-0.0935083\pi\)
−0.571165 + 0.820835i \(0.693508\pi\)
\(230\) −8.79721 + 19.5505i −0.580071 + 1.28912i
\(231\) 4.77616 6.57381i 0.314248 0.432525i
\(232\) −21.0375 + 4.90046i −1.38118 + 0.321731i
\(233\) −8.00740 + 1.26825i −0.524582 + 0.0830856i −0.413109 0.910682i \(-0.635557\pi\)
−0.111473 + 0.993767i \(0.535557\pi\)
\(234\) −1.88156 + 3.44686i −0.123002 + 0.225328i
\(235\) 13.9623 + 22.8715i 0.910798 + 1.49197i
\(236\) 12.2191 + 0.695617i 0.795394 + 0.0452808i
\(237\) 0.383375 0.195339i 0.0249029 0.0126886i
\(238\) 6.09000 + 20.7309i 0.394756 + 1.34379i
\(239\) −7.34407 22.6027i −0.475049 1.46205i −0.845892 0.533354i \(-0.820931\pi\)
0.370844 0.928695i \(-0.379069\pi\)
\(240\) −4.35182 + 7.81420i −0.280908 + 0.504404i
\(241\) 7.36630 22.6712i 0.474505 1.46038i −0.372118 0.928185i \(-0.621368\pi\)
0.846624 0.532192i \(-0.178632\pi\)
\(242\) 2.28297 + 0.0649309i 0.146755 + 0.00417391i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) −13.6841 + 8.79915i −0.876038 + 0.563308i
\(245\) 0.0511804 + 0.0601313i 0.00326980 + 0.00384165i
\(246\) −6.06401 + 2.87563i −0.386627 + 0.183343i
\(247\) −1.96742 + 12.4218i −0.125184 + 0.790379i
\(248\) −2.84414 4.71244i −0.180603 0.299240i
\(249\) 11.6511i 0.738358i
\(250\) 1.76833 15.7122i 0.111839 0.993726i
\(251\) 1.75011i 0.110466i −0.998473 0.0552330i \(-0.982410\pi\)
0.998473 0.0552330i \(-0.0175902\pi\)
\(252\) 3.53182 + 3.95822i 0.222484 + 0.249344i
\(253\) 3.24897 20.5132i 0.204261 1.28965i
\(254\) 7.45575 + 15.7224i 0.467815 + 0.986511i
\(255\) −8.34834 9.80836i −0.522793 0.614224i
\(256\) 8.24852 13.7099i 0.515532 0.856870i
\(257\) 0.796610 + 0.796610i 0.0496912 + 0.0496912i 0.731516 0.681825i \(-0.238813\pi\)
−0.681825 + 0.731516i \(0.738813\pi\)
\(258\) 0.0548223 1.92756i 0.00341309 0.120004i
\(259\) −4.48506 + 13.8036i −0.278688 + 0.857713i
\(260\) −1.69729 + 12.3016i −0.105262 + 0.762915i
\(261\) −2.35996 7.26322i −0.146078 0.449582i
\(262\) −0.919899 + 0.270233i −0.0568315 + 0.0166950i
\(263\) 11.0232 5.61660i 0.679719 0.346334i −0.0798075 0.996810i \(-0.525431\pi\)
0.759527 + 0.650476i \(0.225431\pi\)
\(264\) 2.07970 8.41161i 0.127997 0.517699i
\(265\) 14.7554 + 24.1707i 0.906414 + 1.48479i
\(266\) 14.9123 + 8.14027i 0.914330 + 0.499112i
\(267\) −2.46469 + 0.390368i −0.150836 + 0.0238901i
\(268\) −1.07511 2.44434i −0.0656730 0.149312i
\(269\) 15.0035 20.6506i 0.914780 1.25909i −0.0507271 0.998713i \(-0.516154\pi\)
0.965508 0.260375i \(-0.0838461\pi\)
\(270\) −2.88378 1.29763i −0.175501 0.0789710i
\(271\) 10.3796 + 14.2864i 0.630519 + 0.867835i 0.998066 0.0621703i \(-0.0198022\pi\)
−0.367547 + 0.930005i \(0.619802\pi\)
\(272\) 14.3380 + 18.0360i 0.869369 + 1.09359i
\(273\) 6.56244 + 3.34373i 0.397177 + 0.202372i
\(274\) 27.7598 + 5.20972i 1.67703 + 0.314730i
\(275\) 2.34473 + 15.1370i 0.141393 + 0.912794i
\(276\) 12.6363 + 4.91609i 0.760617 + 0.295914i
\(277\) 5.69164 11.1705i 0.341977 0.671168i −0.654406 0.756144i \(-0.727081\pi\)
0.996383 + 0.0849753i \(0.0270811\pi\)
\(278\) −0.0257671 + 0.0722463i −0.00154541 + 0.00433304i
\(279\) 1.57437 1.14385i 0.0942551 0.0684803i
\(280\) 14.8820 + 7.74205i 0.889368 + 0.462676i
\(281\) −11.8374 8.60034i −0.706157 0.513053i 0.175775 0.984430i \(-0.443757\pi\)
−0.881932 + 0.471377i \(0.843757\pi\)
\(282\) 13.9886 9.56772i 0.833006 0.569749i
\(283\) −2.48745 15.7051i −0.147864 0.933574i −0.944356 0.328925i \(-0.893314\pi\)
0.796492 0.604649i \(-0.206686\pi\)
\(284\) −16.0785 + 19.6733i −0.954085 + 1.16740i
\(285\) −10.0950 0.811765i −0.597977 0.0480848i
\(286\) −1.54338 11.9309i −0.0912621 0.705487i
\(287\) 5.71452 + 11.2154i 0.337318 + 0.662023i
\(288\) 5.07803 + 2.49272i 0.299226 + 0.146885i
\(289\) −15.3879 + 4.99982i −0.905168 + 0.294107i
\(290\) −15.1240 18.8283i −0.888109 1.10563i
\(291\) 11.7566 + 3.81996i 0.689186 + 0.223930i
\(292\) 1.45346 6.68960i 0.0850575 0.391479i
\(293\) 6.91192 6.91192i 0.403799 0.403799i −0.475771 0.879569i \(-0.657831\pi\)
0.879569 + 0.475771i \(0.157831\pi\)
\(294\) 0.0363031 0.0342952i 0.00211724 0.00200014i
\(295\) 5.21493 + 12.6508i 0.303625 + 0.736555i
\(296\) 1.10997 + 15.4372i 0.0645156 + 0.897271i
\(297\) 3.02578 + 0.479237i 0.175574 + 0.0278082i
\(298\) 0.975667 1.26560i 0.0565189 0.0733141i
\(299\) 18.8251 1.08869
\(300\) −9.98184 0.602310i −0.576302 0.0347744i
\(301\) −3.61667 −0.208462
\(302\) −4.91153 + 6.37105i −0.282627 + 0.366613i
\(303\) −5.22741 0.827941i −0.300307 0.0475640i
\(304\) 17.9997 + 2.05607i 1.03236 + 0.117924i
\(305\) −15.4928 9.53024i −0.887113 0.545700i
\(306\) −5.92162 + 5.59410i −0.338516 + 0.319793i
\(307\) −16.6157 + 16.6157i −0.948310 + 0.948310i −0.998728 0.0504178i \(-0.983945\pi\)
0.0504178 + 0.998728i \(0.483945\pi\)
\(308\) −15.8808 3.45047i −0.904895 0.196609i
\(309\) −4.99714 1.62367i −0.284277 0.0923673i
\(310\) 3.37202 5.14779i 0.191518 0.292375i
\(311\) 11.5934 3.76691i 0.657399 0.213602i 0.0387251 0.999250i \(-0.487670\pi\)
0.618674 + 0.785648i \(0.287670\pi\)
\(312\) 7.82539 + 0.669138i 0.443025 + 0.0378825i
\(313\) −10.5644 20.7338i −0.597135 1.17194i −0.969783 0.243970i \(-0.921550\pi\)
0.372648 0.927973i \(-0.378450\pi\)
\(314\) 1.70669 + 13.1933i 0.0963139 + 0.744540i
\(315\) −2.27900 + 5.47565i −0.128407 + 0.308518i
\(316\) −0.666320 0.544566i −0.0374834 0.0306342i
\(317\) −1.97013 12.4389i −0.110653 0.698638i −0.979180 0.202995i \(-0.934932\pi\)
0.868526 0.495643i \(-0.165068\pi\)
\(318\) 14.7831 10.1112i 0.828997 0.567007i
\(319\) 18.9277 + 13.7518i 1.05975 + 0.769953i
\(320\) 17.8100 + 1.67482i 0.995608 + 0.0936251i
\(321\) 4.43586 3.22284i 0.247586 0.179882i
\(322\) 8.54282 23.9525i 0.476073 1.33482i
\(323\) −11.8442 + 23.2455i −0.659027 + 1.29341i
\(324\) −0.725145 + 1.86391i −0.0402858 + 0.103551i
\(325\) −13.2189 + 4.24545i −0.733254 + 0.235495i
\(326\) 11.8716 + 2.22796i 0.657507 + 0.123395i
\(327\) −12.4402 6.33862i −0.687947 0.350526i
\(328\) 10.1474 + 8.78608i 0.560299 + 0.485130i
\(329\) −18.6833 25.7153i −1.03004 1.41773i
\(330\) 9.48383 1.97669i 0.522068 0.108813i
\(331\) 6.91545 9.51830i 0.380108 0.523173i −0.575505 0.817798i \(-0.695195\pi\)
0.955613 + 0.294625i \(0.0951946\pi\)
\(332\) −21.3301 + 9.38180i −1.17064 + 0.514893i
\(333\) −5.40460 + 0.856005i −0.296171 + 0.0469088i
\(334\) −21.0937 11.5146i −1.15419 0.630049i
\(335\) 1.94280 2.26691i 0.106146 0.123854i
\(336\) 4.40254 9.65312i 0.240178 0.526621i
\(337\) 14.1885 7.22941i 0.772898 0.393811i −0.0226179 0.999744i \(-0.507200\pi\)
0.795516 + 0.605933i \(0.207200\pi\)
\(338\) −7.17713 + 2.10838i −0.390384 + 0.114681i
\(339\) 0.605747 + 1.86430i 0.0328997 + 0.101255i
\(340\) −11.2342 + 23.1816i −0.609262 + 1.25720i
\(341\) −1.84225 + 5.66988i −0.0997637 + 0.307041i
\(342\) −0.182100 + 6.40266i −0.00984686 + 0.346216i
\(343\) 13.0626 + 13.0626i 0.705312 + 0.705312i
\(344\) −3.57300 + 1.45176i −0.192643 + 0.0782736i
\(345\) 1.16369 + 15.1146i 0.0626512 + 0.813743i
\(346\) −9.69276 20.4397i −0.521086 1.09885i
\(347\) 3.91892 24.7431i 0.210379 1.32828i −0.625870 0.779928i \(-0.715256\pi\)
0.836248 0.548351i \(-0.184744\pi\)
\(348\) −11.3967 + 10.1690i −0.610930 + 0.545117i
\(349\) 3.77373i 0.202003i 0.994886 + 0.101002i \(0.0322047\pi\)
−0.994886 + 0.101002i \(0.967795\pi\)
\(350\) −0.596956 + 18.7459i −0.0319086 + 1.00201i
\(351\) 2.77679i 0.148214i
\(352\) −17.0741 + 2.96589i −0.910052 + 0.158082i
\(353\) −2.35188 + 14.8492i −0.125178 + 0.790341i 0.842601 + 0.538539i \(0.181023\pi\)
−0.967779 + 0.251803i \(0.918977\pi\)
\(354\) 7.81951 3.70811i 0.415602 0.197084i
\(355\) −27.6107 6.67840i −1.46542 0.354453i
\(356\) 2.69930 + 4.19786i 0.143063 + 0.222486i
\(357\) 10.8035 + 10.8035i 0.571780 + 0.571780i
\(358\) −4.77761 0.135882i −0.252505 0.00718157i
\(359\) −8.66676 + 26.6735i −0.457414 + 1.40778i 0.410864 + 0.911697i \(0.365227\pi\)
−0.868278 + 0.496079i \(0.834773\pi\)
\(360\) −0.0535135 + 6.32433i −0.00282041 + 0.333321i
\(361\) 0.467740 + 1.43956i 0.0246179 + 0.0757661i
\(362\) 3.38240 + 11.5140i 0.177775 + 0.605163i
\(363\) 1.43894 0.733176i 0.0755247 0.0384818i
\(364\) 0.837228 14.7066i 0.0438827 0.770835i
\(365\) 7.44525 1.77407i 0.389702 0.0928588i
\(366\) −5.51197 + 10.0975i −0.288115 + 0.527802i
\(367\) −25.9476 + 4.10970i −1.35445 + 0.214524i −0.791098 0.611690i \(-0.790490\pi\)
−0.563356 + 0.826214i \(0.690490\pi\)
\(368\) −1.17505 27.0924i −0.0612538 1.41229i
\(369\) −2.78940 + 3.83927i −0.145210 + 0.199865i
\(370\) −15.0197 + 8.59263i −0.780837 + 0.446710i
\(371\) −19.7445 27.1760i −1.02509 1.41091i
\(372\) −3.36181 1.96120i −0.174302 0.101684i
\(373\) 22.7635 + 11.5986i 1.17865 + 0.600552i 0.929827 0.367997i \(-0.119956\pi\)
0.248823 + 0.968549i \(0.419956\pi\)
\(374\) 4.60310 24.5275i 0.238021 1.26829i
\(375\) −4.22579 10.3510i −0.218219 0.534522i
\(376\) −28.7800 17.9052i −1.48421 0.923389i
\(377\) −9.62747 + 18.8950i −0.495840 + 0.973141i
\(378\) 3.53310 + 1.26010i 0.181723 + 0.0648127i
\(379\) −18.5839 + 13.5020i −0.954593 + 0.693553i −0.951889 0.306444i \(-0.900861\pi\)
−0.00270450 + 0.999996i \(0.500861\pi\)
\(380\) 6.64267 + 19.1350i 0.340762 + 0.981604i
\(381\) 9.95423 + 7.23217i 0.509971 + 0.370515i
\(382\) 19.3727 + 28.3240i 0.991193 + 1.44918i
\(383\) −3.48028 21.9736i −0.177834 1.12280i −0.901541 0.432693i \(-0.857563\pi\)
0.723707 0.690107i \(-0.242437\pi\)
\(384\) 0.474541 11.3038i 0.0242163 0.576842i
\(385\) −4.21156 17.6747i −0.214641 0.900788i
\(386\) 33.9954 4.39766i 1.73032 0.223835i
\(387\) −0.619034 1.21492i −0.0314673 0.0617580i
\(388\) −2.47343 24.5993i −0.125569 1.24884i
\(389\) −25.2281 + 8.19711i −1.27912 + 0.415610i −0.868269 0.496094i \(-0.834767\pi\)
−0.410847 + 0.911704i \(0.634767\pi\)
\(390\) 3.11438 + 8.21013i 0.157703 + 0.415736i
\(391\) 37.1397 + 12.0674i 1.87823 + 0.610275i
\(392\) −0.0920180 0.0388461i −0.00464761 0.00196202i
\(393\) −0.479385 + 0.479385i −0.0241818 + 0.0241818i
\(394\) −12.5346 13.2685i −0.631484 0.668456i
\(395\) 0.226192 0.935150i 0.0113809 0.0470525i
\(396\) −1.55909 5.92532i −0.0783474 0.297758i
\(397\) −31.3701 4.96854i −1.57442 0.249364i −0.692732 0.721195i \(-0.743593\pi\)
−0.881689 + 0.471831i \(0.843593\pi\)
\(398\) −17.3859 13.4030i −0.871477 0.671833i
\(399\) 12.0133 0.601418
\(400\) 6.93500 + 18.7592i 0.346750 + 0.937958i
\(401\) 1.93725 0.0967417 0.0483708 0.998829i \(-0.484597\pi\)
0.0483708 + 0.998829i \(0.484597\pi\)
\(402\) −1.49542 1.15284i −0.0745848 0.0574985i
\(403\) −5.33718 0.845327i −0.265864 0.0421087i
\(404\) 2.69352 + 10.2367i 0.134008 + 0.509296i
\(405\) −2.22947 + 0.171650i −0.110783 + 0.00852935i
\(406\) 19.6724 + 20.8242i 0.976326 + 1.03349i
\(407\) 11.8535 11.8535i 0.587557 0.587557i
\(408\) 15.0096 + 6.33641i 0.743086 + 0.313699i
\(409\) 11.2145 + 3.64381i 0.554520 + 0.180175i 0.572854 0.819657i \(-0.305836\pi\)
−0.0183337 + 0.999832i \(0.505836\pi\)
\(410\) −3.94136 + 14.4801i −0.194650 + 0.715121i
\(411\) 18.9943 6.17163i 0.936922 0.304424i
\(412\) 1.05133 + 10.4559i 0.0517953 + 0.515124i
\(413\) −7.36885 14.4622i −0.362597 0.711637i
\(414\) 9.50838 1.23001i 0.467312 0.0604516i
\(415\) −19.7818 16.9535i −0.971050 0.832214i
\(416\) −5.07622 14.8651i −0.248882 0.728819i
\(417\) 0.00848465 + 0.0535700i 0.000415495 + 0.00262333i
\(418\) −11.0778 16.1964i −0.541835 0.792193i
\(419\) −24.8894 18.0832i −1.21593 0.883421i −0.220170 0.975462i \(-0.570661\pi\)
−0.995755 + 0.0920401i \(0.970661\pi\)
\(420\) 11.8596 0.236896i 0.578689 0.0115593i
\(421\) 13.5139 9.81844i 0.658628 0.478522i −0.207571 0.978220i \(-0.566556\pi\)
0.866199 + 0.499698i \(0.166556\pi\)
\(422\) 2.74459 + 0.978877i 0.133604 + 0.0476510i
\(423\) 5.44051 10.6776i 0.264527 0.519163i
\(424\) −30.4148 18.9222i −1.47707 0.918945i
\(425\) −28.8008 0.0979274i −1.39704 0.00475017i
\(426\) −3.31386 + 17.6578i −0.160557 + 0.855524i
\(427\) 19.2244 + 9.79535i 0.930336 + 0.474030i
\(428\) −9.47207 5.52578i −0.457850 0.267099i
\(429\) −5.00011 6.88206i −0.241408 0.332269i
\(430\) −3.19293 2.89786i −0.153977 0.139747i
\(431\) −10.2982 + 14.1742i −0.496046 + 0.682749i −0.981489 0.191519i \(-0.938658\pi\)
0.485443 + 0.874269i \(0.338658\pi\)
\(432\) 3.99624 0.173325i 0.192269 0.00833912i
\(433\) 21.0372 3.33196i 1.01098 0.160124i 0.371096 0.928594i \(-0.378982\pi\)
0.639885 + 0.768471i \(0.278982\pi\)
\(434\) −3.49757 + 6.40725i −0.167889 + 0.307558i
\(435\) −15.7658 6.56184i −0.755913 0.314616i
\(436\) −1.58711 + 27.8789i −0.0760087 + 1.33516i
\(437\) 27.3588 13.9400i 1.30875 0.666842i
\(438\) −1.36435 4.64437i −0.0651910 0.221917i
\(439\) −3.66634 11.2838i −0.174985 0.538547i 0.824648 0.565646i \(-0.191373\pi\)
−0.999633 + 0.0270987i \(0.991373\pi\)
\(440\) −11.2555 15.7707i −0.536583 0.751840i
\(441\) 0.0109125 0.0335851i 0.000519641 0.00159929i
\(442\) 22.6109 + 0.643086i 1.07549 + 0.0305885i
\(443\) −4.55801 4.55801i −0.216558 0.216558i 0.590488 0.807046i \(-0.298935\pi\)
−0.807046 + 0.590488i \(0.798935\pi\)
\(444\) 5.91907 + 9.20514i 0.280907 + 0.436857i
\(445\) −2.92358 + 4.75269i −0.138591 + 0.225299i
\(446\) −26.5606 + 12.5954i −1.25768 + 0.596408i
\(447\) 0.176766 1.11606i 0.00836076 0.0527877i
\(448\) −21.2174 0.286929i −1.00243 0.0135561i
\(449\) 15.7982i 0.745562i 0.927919 + 0.372781i \(0.121596\pi\)
−0.927919 + 0.372781i \(0.878404\pi\)
\(450\) −6.39935 + 3.00804i −0.301668 + 0.141800i
\(451\) 14.5382i 0.684575i
\(452\) 2.92528 2.61015i 0.137593 0.122771i
\(453\) −0.889845 + 5.61826i −0.0418086 + 0.263969i
\(454\) −2.93067 6.18008i −0.137543 0.290045i
\(455\) 15.2261 6.27657i 0.713813 0.294250i
\(456\) 11.8682 4.82224i 0.555781 0.225822i
\(457\) 29.8131 + 29.8131i 1.39460 + 1.39460i 0.814667 + 0.579929i \(0.196920\pi\)
0.579929 + 0.814667i \(0.303080\pi\)
\(458\) 0.399550 14.0482i 0.0186697 0.656429i
\(459\) −1.78000 + 5.47826i −0.0830831 + 0.255703i
\(460\) 26.7339 14.3011i 1.24647 0.666795i
\(461\) −7.67255 23.6137i −0.357346 1.09980i −0.954636 0.297774i \(-0.903756\pi\)
0.597290 0.802025i \(-0.296244\pi\)
\(462\) −11.0256 + 3.23891i −0.512955 + 0.150688i
\(463\) −7.34620 + 3.74307i −0.341407 + 0.173955i −0.616284 0.787524i \(-0.711363\pi\)
0.274877 + 0.961479i \(0.411363\pi\)
\(464\) 27.7938 + 12.6761i 1.29030 + 0.588471i
\(465\) 0.348786 4.33745i 0.0161745 0.201145i
\(466\) 10.0636 + 5.49348i 0.466186 + 0.254480i
\(467\) 11.4787 1.81805i 0.531172 0.0841294i 0.114913 0.993376i \(-0.463341\pi\)
0.416259 + 0.909246i \(0.363341\pi\)
\(468\) 5.08358 2.23595i 0.234988 0.103357i
\(469\) −2.08159 + 2.86506i −0.0961189 + 0.132296i
\(470\) 4.11019 37.6724i 0.189589 1.73770i
\(471\) 5.52917 + 7.61025i 0.254771 + 0.350662i
\(472\) −13.0851 11.3296i −0.602290 0.521488i
\(473\) 3.72192 + 1.89641i 0.171134 + 0.0871971i
\(474\) −0.598055 0.112238i −0.0274696 0.00515525i
\(475\) −16.0675 + 15.9586i −0.737227 + 0.732231i
\(476\) 11.0791 28.4776i 0.507808 1.30527i
\(477\) 5.74954 11.2841i 0.263254 0.516664i
\(478\) −11.2907 + 31.6569i −0.516422 + 1.44795i
\(479\) −2.26075 + 1.64253i −0.103296 + 0.0750491i −0.638234 0.769842i \(-0.720335\pi\)
0.534938 + 0.844891i \(0.320335\pi\)
\(480\) 11.6213 4.99457i 0.530437 0.227970i
\(481\) 12.2926 + 8.93111i 0.560495 + 0.407224i
\(482\) −27.8258 + 19.0319i −1.26743 + 0.866880i
\(483\) −2.81300 17.7606i −0.127996 0.808134i
\(484\) −2.50093 2.04395i −0.113679 0.0929067i
\(485\) 23.5928 14.4025i 1.07129 0.653986i
\(486\) 0.181431 + 1.40253i 0.00822990 + 0.0636199i
\(487\) −14.7690 28.9857i −0.669245 1.31347i −0.936780 0.349920i \(-0.886209\pi\)
0.267534 0.963548i \(-0.413791\pi\)
\(488\) 22.9242 + 1.96022i 1.03773 + 0.0887348i
\(489\) 8.12301 2.63932i 0.367335 0.119354i
\(490\) −0.00540344 0.111540i −0.000244103 0.00503887i
\(491\) −15.9391 5.17893i −0.719321 0.233722i −0.0735925 0.997288i \(-0.523446\pi\)
−0.645729 + 0.763567i \(0.723446\pi\)
\(492\) 9.27481 + 2.01516i 0.418141 + 0.0908504i
\(493\) −31.1060 + 31.1060i −1.40094 + 1.40094i
\(494\) 12.9291 12.2140i 0.581707 0.549533i
\(495\) 5.21649 4.43999i 0.234464 0.199562i
\(496\) −0.883417 + 7.73382i −0.0396666 + 0.347259i
\(497\) 33.2813 + 5.27123i 1.49287 + 0.236447i
\(498\) −10.0601 + 13.0495i −0.450803 + 0.584764i
\(499\) 41.5528 1.86016 0.930079 0.367359i \(-0.119738\pi\)
0.930079 + 0.367359i \(0.119738\pi\)
\(500\) −15.5472 + 16.0712i −0.695292 + 0.718727i
\(501\) −16.9931 −0.759194
\(502\) −1.51112 + 1.96017i −0.0674448 + 0.0874868i
\(503\) 8.35723 + 1.32366i 0.372630 + 0.0590189i 0.339941 0.940447i \(-0.389593\pi\)
0.0326893 + 0.999466i \(0.489593\pi\)
\(504\) −0.538033 7.48285i −0.0239659 0.333313i
\(505\) −9.01212 + 7.67062i −0.401034 + 0.341338i
\(506\) −21.3510 + 20.1700i −0.949166 + 0.896668i
\(507\) −3.74020 + 3.74020i −0.166108 + 0.166108i
\(508\) 5.22478 24.0472i 0.231812 1.06692i
\(509\) 21.4866 + 6.98141i 0.952376 + 0.309446i 0.743681 0.668535i \(-0.233078\pi\)
0.208695 + 0.977981i \(0.433078\pi\)
\(510\) 0.881387 + 18.1940i 0.0390285 + 0.805643i
\(511\) −8.63444 + 2.80550i −0.381965 + 0.124108i
\(512\) −21.0763 + 8.23335i −0.931451 + 0.363866i
\(513\) 2.05621 + 4.03555i 0.0907840 + 0.178174i
\(514\) −0.204396 1.58005i −0.00901554 0.0696932i
\(515\) −10.0281 + 6.12178i −0.441890 + 0.269758i
\(516\) −1.72574 + 2.11158i −0.0759715 + 0.0929572i
\(517\) 5.74306 + 36.2603i 0.252580 + 1.59472i
\(518\) 16.9420 11.5878i 0.744390 0.509139i
\(519\) −12.9409 9.40210i −0.568042 0.412707i
\(520\) 12.5228 12.3127i 0.549161 0.539946i
\(521\) −9.58644 + 6.96496i −0.419990 + 0.305140i −0.777634 0.628718i \(-0.783580\pi\)
0.357644 + 0.933858i \(0.383580\pi\)
\(522\) −3.62817 + 10.1727i −0.158801 + 0.445247i
\(523\) −2.25878 + 4.43311i −0.0987696 + 0.193846i −0.935104 0.354373i \(-0.884694\pi\)
0.836334 + 0.548220i \(0.184694\pi\)
\(524\) 1.26364 + 0.491614i 0.0552025 + 0.0214762i
\(525\) 5.98065 + 11.8370i 0.261017 + 0.516609i
\(526\) −17.1959 3.22718i −0.749777 0.140712i
\(527\) −9.98773 5.08900i −0.435072 0.221680i
\(528\) −9.59228 + 7.62553i −0.417451 + 0.331859i
\(529\) −13.4962 18.5759i −0.586792 0.807650i
\(530\) 4.34366 39.8123i 0.188676 1.72933i
\(531\) 3.59691 4.95072i 0.156093 0.214843i
\(532\) −9.67348 21.9933i −0.419399 0.953529i
\(533\) 13.0153 2.06142i 0.563755 0.0892900i
\(534\) 3.09758 + 1.69090i 0.134045 + 0.0731724i
\(535\) 0.982720 12.2210i 0.0424867 0.528359i
\(536\) −0.906394 + 3.66603i −0.0391503 + 0.158348i
\(537\) −3.01129 + 1.53433i −0.129947 + 0.0662111i
\(538\) −34.6350 + 10.1745i −1.49322 + 0.438654i
\(539\) 0.0334303 + 0.102888i 0.00143995 + 0.00443170i
\(540\) 2.10948 + 3.94336i 0.0907776 + 0.169695i
\(541\) −2.92452 + 9.00075i −0.125735 + 0.386973i −0.994034 0.109068i \(-0.965213\pi\)
0.868299 + 0.496041i \(0.165213\pi\)
\(542\) 0.709992 24.9634i 0.0304968 1.07227i
\(543\) 6.00027 + 6.00027i 0.257496 + 0.257496i
\(544\) −0.485856 32.5809i −0.0208309 1.39690i
\(545\) −28.8638 + 11.8983i −1.23639 + 0.509668i
\(546\) −4.46299 9.41138i −0.190998 0.402770i
\(547\) −2.16103 + 13.6442i −0.0923989 + 0.583384i 0.897434 + 0.441149i \(0.145429\pi\)
−0.989833 + 0.142235i \(0.954571\pi\)
\(548\) −26.5935 29.8041i −1.13602 1.27317i
\(549\) 8.13451i 0.347172i
\(550\) 10.4438 18.9784i 0.445325 0.809241i
\(551\) 34.5895i 1.47356i
\(552\) −9.90825 16.4169i −0.421723 0.698751i
\(553\) −0.178532 + 1.12721i −0.00759196 + 0.0479338i
\(554\) −16.0199 + 7.59682i −0.680619 + 0.322758i
\(555\) −6.41087 + 10.4218i −0.272126 + 0.442379i
\(556\) 0.0912406 0.0586693i 0.00386946 0.00248813i
\(557\) −20.2567 20.2567i −0.858304 0.858304i 0.132834 0.991138i \(-0.457592\pi\)
−0.991138 + 0.132834i \(0.957592\pi\)
\(558\) −2.75099 0.0782418i −0.116459 0.00331224i
\(559\) −1.17002 + 3.60095i −0.0494865 + 0.152304i
\(560\) −9.98339 21.5211i −0.421875 0.909432i
\(561\) −5.45302 16.7827i −0.230227 0.708565i
\(562\) 5.83224 + 19.8535i 0.246018 + 0.837470i
\(563\) −18.7194 + 9.53800i −0.788928 + 0.401979i −0.801540 0.597942i \(-0.795985\pi\)
0.0126118 + 0.999920i \(0.495985\pi\)
\(564\) −23.9288 1.36224i −1.00758 0.0573605i
\(565\) 4.04672 + 1.68427i 0.170247 + 0.0708578i
\(566\) −10.7745 + 19.7380i −0.452887 + 0.829649i
\(567\) 2.61976 0.414929i 0.110020 0.0174254i
\(568\) 34.9953 8.15177i 1.46837 0.342041i
\(569\) −22.8243 + 31.4149i −0.956843 + 1.31698i −0.00842243 + 0.999965i \(0.502681\pi\)
−0.948420 + 0.317016i \(0.897319\pi\)
\(570\) 10.6058 + 9.62569i 0.444227 + 0.403176i
\(571\) 4.66625 + 6.42254i 0.195276 + 0.268775i 0.895415 0.445232i \(-0.146879\pi\)
−0.700139 + 0.714007i \(0.746879\pi\)
\(572\) −8.57302 + 14.6955i −0.358456 + 0.614451i
\(573\) 21.6200 + 11.0159i 0.903187 + 0.460197i
\(574\) 3.28344 17.4957i 0.137048 0.730257i
\(575\) 27.3556 + 20.0175i 1.14081 + 0.834786i
\(576\) −3.53521 7.17651i −0.147300 0.299021i
\(577\) 9.74625 19.1281i 0.405742 0.796313i −0.594226 0.804298i \(-0.702542\pi\)
0.999968 + 0.00798495i \(0.00254172\pi\)
\(578\) 21.5519 + 7.68663i 0.896441 + 0.319722i
\(579\) 19.6095 14.2472i 0.814944 0.592091i
\(580\) 0.682085 + 34.1469i 0.0283220 + 1.41787i
\(581\) 25.0015 + 18.1647i 1.03724 + 0.753597i
\(582\) −9.86942 14.4297i −0.409101 0.598129i
\(583\) 6.06928 + 38.3199i 0.251364 + 1.58705i
\(584\) −7.40402 + 6.23755i −0.306381 + 0.258112i
\(585\) 4.71456 + 4.04050i 0.194923 + 0.167054i
\(586\) −13.7096 + 1.77348i −0.566339 + 0.0732618i
\(587\) 11.3820 + 22.3385i 0.469787 + 0.922009i 0.997368 + 0.0725046i \(0.0230992\pi\)
−0.527581 + 0.849505i \(0.676901\pi\)
\(588\) −0.0702726 + 0.00706584i −0.00289799 + 0.000291390i
\(589\) −8.38257 + 2.72366i −0.345398 + 0.112226i
\(590\) 5.08236 18.6720i 0.209237 0.768714i
\(591\) −12.2751 3.98841i −0.504928 0.164061i
\(592\) 12.0860 18.2485i 0.496732 0.750010i
\(593\) −28.1891 + 28.1891i −1.15759 + 1.15759i −0.172594 + 0.984993i \(0.555215\pi\)
−0.984993 + 0.172594i \(0.944785\pi\)
\(594\) −2.97517 3.14936i −0.122073 0.129220i
\(595\) 34.0628 2.62254i 1.39644 0.107514i
\(596\) −2.18555 + 0.575070i −0.0895236 + 0.0235558i
\(597\) −15.3316 2.42829i −0.627482 0.0993834i
\(598\) −21.0847 16.2545i −0.862217 0.664695i
\(599\) 11.5491 0.471885 0.235943 0.971767i \(-0.424182\pi\)
0.235943 + 0.971767i \(0.424182\pi\)
\(600\) 10.6599 + 9.29338i 0.435188 + 0.379401i
\(601\) 10.4058 0.424462 0.212231 0.977220i \(-0.431927\pi\)
0.212231 + 0.977220i \(0.431927\pi\)
\(602\) 4.05078 + 3.12280i 0.165097 + 0.127276i
\(603\) −1.31873 0.208866i −0.0537027 0.00850567i
\(604\) 11.0021 2.89492i 0.447669 0.117792i
\(605\) 0.848977 3.50994i 0.0345158 0.142700i
\(606\) 5.13997 + 5.44090i 0.208797 + 0.221022i
\(607\) 16.1166 16.1166i 0.654154 0.654154i −0.299837 0.953991i \(-0.596932\pi\)
0.953991 + 0.299837i \(0.0969322\pi\)
\(608\) −18.3849 17.8446i −0.745607 0.723696i
\(609\) 19.2651 + 6.25960i 0.780660 + 0.253652i
\(610\) 9.12348 + 24.0513i 0.369399 + 0.973808i
\(611\) −31.6477 + 10.2830i −1.28033 + 0.416004i
\(612\) 11.4626 1.15255i 0.463347 0.0465891i
\(613\) 15.0439 + 29.5254i 0.607619 + 1.19252i 0.965903 + 0.258906i \(0.0833619\pi\)
−0.358284 + 0.933613i \(0.616638\pi\)
\(614\) 32.9569 4.26331i 1.33003 0.172053i
\(615\) 2.45966 + 10.3225i 0.0991830 + 0.416243i
\(616\) 14.8077 + 17.5769i 0.596619 + 0.708192i
\(617\) −4.40691 27.8241i −0.177415 1.12016i −0.902243 0.431227i \(-0.858081\pi\)
0.724828 0.688930i \(-0.241919\pi\)
\(618\) 4.19499 + 6.13331i 0.168747 + 0.246718i
\(619\) 26.0513 + 18.9274i 1.04709 + 0.760756i 0.971657 0.236394i \(-0.0759657\pi\)
0.0754341 + 0.997151i \(0.475966\pi\)
\(620\) −8.22160 + 2.85411i −0.330187 + 0.114624i
\(621\) 5.48470 3.98487i 0.220093 0.159907i
\(622\) −16.2374 5.79118i −0.651060 0.232205i
\(623\) 3.00490 5.89745i 0.120389 0.236276i
\(624\) −8.18689 7.50625i −0.327738 0.300490i
\(625\) −23.7233 7.88693i −0.948933 0.315477i
\(626\) −6.07007 + 32.3442i −0.242609 + 1.29273i
\(627\) −12.3629 6.29921i −0.493727 0.251566i
\(628\) 9.48013 16.2505i 0.378298 0.648464i
\(629\) 18.5267 + 25.4999i 0.738710 + 1.01675i
\(630\) 7.28047 4.16509i 0.290061 0.165941i
\(631\) −2.63098 + 3.62123i −0.104738 + 0.144159i −0.858168 0.513368i \(-0.828398\pi\)
0.753431 + 0.657527i \(0.228398\pi\)
\(632\) 0.276094 + 1.18526i 0.0109824 + 0.0471471i
\(633\) 2.03509 0.322326i 0.0808875 0.0128113i
\(634\) −8.53371 + 15.6330i −0.338917 + 0.620866i
\(635\) 26.7635 6.37725i 1.06208 0.253073i
\(636\) −25.2880 1.43961i −1.00273 0.0570844i
\(637\) −0.0873703 + 0.0445174i −0.00346174 + 0.00176384i
\(638\) −9.32566 31.7455i −0.369206 1.25681i
\(639\) 3.92573 + 12.0822i 0.155300 + 0.477963i
\(640\) −18.5016 17.2538i −0.731338 0.682015i
\(641\) 10.1109 31.1181i 0.399356 1.22909i −0.526160 0.850385i \(-0.676369\pi\)
0.925517 0.378707i \(-0.123631\pi\)
\(642\) −7.75104 0.220450i −0.305909 0.00870047i
\(643\) −20.7316 20.7316i −0.817573 0.817573i 0.168183 0.985756i \(-0.446210\pi\)
−0.985756 + 0.168183i \(0.946210\pi\)
\(644\) −30.2499 + 19.4512i −1.19201 + 0.766485i
\(645\) −2.96351 0.716806i −0.116688 0.0282242i
\(646\) 33.3370 15.8088i 1.31163 0.621989i
\(647\) 1.54895 9.77971i 0.0608957 0.384480i −0.938351 0.345683i \(-0.887647\pi\)
0.999247 0.0387973i \(-0.0123527\pi\)
\(648\) 2.42157 1.46151i 0.0951282 0.0574135i
\(649\) 18.7469i 0.735880i
\(650\) 18.4713 + 6.65879i 0.724503 + 0.261179i
\(651\) 5.16168i 0.202302i
\(652\) −11.3728 12.7458i −0.445393 0.499166i
\(653\) 0.873916 5.51769i 0.0341990 0.215924i −0.964671 0.263459i \(-0.915137\pi\)
0.998870 + 0.0475352i \(0.0151366\pi\)
\(654\) 8.46036 + 17.8409i 0.330826 + 0.697634i
\(655\) 0.116370 + 1.51147i 0.00454697 + 0.0590582i
\(656\) −3.77912 18.6024i −0.147550 0.726303i
\(657\) −2.42031 2.42031i −0.0944253 0.0944253i
\(658\) −1.27798 + 44.9339i −0.0498209 + 1.75171i
\(659\) 11.9644 36.8226i 0.466066 1.43440i −0.391570 0.920148i \(-0.628068\pi\)
0.857636 0.514256i \(-0.171932\pi\)
\(660\) −12.3289 5.97482i −0.479903 0.232570i
\(661\) −9.93403 30.5738i −0.386389 1.18918i −0.935468 0.353412i \(-0.885021\pi\)
0.549079 0.835771i \(-0.314979\pi\)
\(662\) −15.9640 + 4.68965i −0.620460 + 0.182269i
\(663\) 14.2515 7.26150i 0.553482 0.282013i
\(664\) 31.9910 + 7.90950i 1.24149 + 0.306948i
\(665\) 17.4806 20.3968i 0.677867 0.790954i
\(666\) 6.79242 + 3.70783i 0.263201 + 0.143675i
\(667\) 51.1373 8.09936i 1.98005 0.313608i
\(668\) 13.6833 + 31.1099i 0.529423 + 1.20368i
\(669\) −12.2177 + 16.8162i −0.472362 + 0.650151i
\(670\) −4.13333 + 0.861501i −0.159685 + 0.0332827i
\(671\) −14.6477 20.1608i −0.565466 0.778298i
\(672\) −13.2659 + 7.01041i −0.511743 + 0.270432i
\(673\) 25.8524 + 13.1724i 0.996535 + 0.507760i 0.874635 0.484782i \(-0.161101\pi\)
0.121900 + 0.992542i \(0.461101\pi\)
\(674\) −22.1337 4.15386i −0.852559 0.160001i
\(675\) −2.95266 + 4.03507i −0.113648 + 0.155310i
\(676\) 9.85906 + 3.83561i 0.379195 + 0.147524i
\(677\) 2.17299 4.26473i 0.0835147 0.163907i −0.845472 0.534019i \(-0.820681\pi\)
0.928987 + 0.370113i \(0.120681\pi\)
\(678\) 0.931265 2.61109i 0.0357650 0.100278i
\(679\) −26.5262 + 19.2724i −1.01798 + 0.739608i
\(680\) 32.5987 16.2639i 1.25010 0.623693i
\(681\) −3.91276 2.84278i −0.149937 0.108936i
\(682\) 6.95900 4.75974i 0.266474 0.182260i
\(683\) 5.72483 + 36.1452i 0.219055 + 1.38306i 0.814734 + 0.579835i \(0.196883\pi\)
−0.595679 + 0.803222i \(0.703117\pi\)
\(684\) 5.73231 7.01393i 0.219180 0.268184i
\(685\) 17.1601 41.2298i 0.655655 1.57531i
\(686\) −3.35163 25.9092i −0.127966 0.989219i
\(687\) −4.51157 8.85446i −0.172127 0.337819i
\(688\) 5.25537 + 1.45908i 0.200359 + 0.0556267i
\(689\) −33.4453 + 10.8671i −1.27417 + 0.414002i
\(690\) 11.7473 17.9336i 0.447211 0.682719i
\(691\) −3.63597 1.18140i −0.138319 0.0449425i 0.239039 0.971010i \(-0.423167\pi\)
−0.377358 + 0.926067i \(0.623167\pi\)
\(692\) −6.79242 + 31.2622i −0.258209 + 1.18841i
\(693\) −5.74572 + 5.74572i −0.218262 + 0.218262i
\(694\) −25.7536 + 24.3292i −0.977593 + 0.923523i
\(695\) 0.103300 + 0.0635440i 0.00391838 + 0.00241036i
\(696\) 21.5451 1.54914i 0.816664 0.0587199i
\(697\) 26.9990 + 4.27622i 1.02266 + 0.161973i
\(698\) 3.25841 4.22668i 0.123333 0.159982i
\(699\) 8.10721 0.306643
\(700\) 16.8547 20.4805i 0.637047 0.774090i
\(701\) 22.6934 0.857118 0.428559 0.903514i \(-0.359021\pi\)
0.428559 + 0.903514i \(0.359021\pi\)
\(702\) 2.39760 3.11008i 0.0904917 0.117382i
\(703\) 24.4785 + 3.87702i 0.923225 + 0.146224i
\(704\) 21.6843 + 11.4207i 0.817260 + 0.430433i
\(705\) −10.2125 24.7741i −0.384624 0.933048i
\(706\) 15.4556 14.6008i 0.581679 0.549507i
\(707\) 9.92645 9.92645i 0.373322 0.373322i
\(708\) −11.9598 2.59854i −0.449478 0.0976590i
\(709\) −23.3358 7.58226i −0.876394 0.284758i −0.163935 0.986471i \(-0.552419\pi\)
−0.712459 + 0.701714i \(0.752419\pi\)
\(710\) 25.1583 + 31.3203i 0.944173 + 1.17543i
\(711\) −0.409212 + 0.132961i −0.0153467 + 0.00498643i
\(712\) 0.601332 7.03242i 0.0225359 0.263551i
\(713\) 5.98951 + 11.7551i 0.224309 + 0.440231i
\(714\) −2.77198 21.4284i −0.103739 0.801937i
\(715\) −18.9603 1.52465i −0.709077 0.0570187i
\(716\) 5.23373 + 4.27740i 0.195594 + 0.159854i
\(717\) 3.71781 + 23.4733i 0.138844 + 0.876627i
\(718\) 32.7381 22.3918i 1.22178 0.835656i
\(719\) −30.8564 22.4185i −1.15075 0.836068i −0.162168 0.986763i \(-0.551849\pi\)
−0.988580 + 0.150695i \(0.951849\pi\)
\(720\) 5.52065 7.03722i 0.205742 0.262262i
\(721\) 11.2749 8.19173i 0.419901 0.305076i
\(722\) 0.719096 2.01621i 0.0267620 0.0750356i
\(723\) −10.8222 + 21.2397i −0.402481 + 0.789913i
\(724\) 6.15333 15.8165i 0.228687 0.587816i
\(725\) −34.0818 + 17.2198i −1.26577 + 0.639529i
\(726\) −2.24471 0.421267i −0.0833090 0.0156347i
\(727\) −17.5691 8.95193i −0.651603 0.332009i 0.0967500 0.995309i \(-0.469155\pi\)
−0.748353 + 0.663300i \(0.769155\pi\)
\(728\) −13.6360 + 15.7489i −0.505386 + 0.583693i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −9.87070 4.44156i −0.365331 0.164390i
\(731\) −4.61661 + 6.35421i −0.170751 + 0.235019i
\(732\) 14.8922 6.55015i 0.550430 0.242100i
\(733\) 11.6075 1.83845i 0.428732 0.0679046i 0.0616607 0.998097i \(-0.480360\pi\)
0.367072 + 0.930193i \(0.380360\pi\)
\(734\) 32.6105 + 17.8014i 1.20368 + 0.657060i
\(735\) −0.0411437 0.0673973i −0.00151761 0.00248599i
\(736\) −22.0767 + 31.3588i −0.813758 + 1.15590i
\(737\) 3.64446 1.85695i 0.134246 0.0684015i
\(738\) 6.43920 1.89160i 0.237030 0.0696309i
\(739\) −11.7485 36.1581i −0.432175 1.33010i −0.895954 0.444147i \(-0.853507\pi\)
0.463779 0.885951i \(-0.346493\pi\)
\(740\) 24.2418 + 3.34471i 0.891145 + 0.122954i
\(741\) 3.88639 11.9611i 0.142770 0.439401i
\(742\) −1.35057 + 47.4862i −0.0495811 + 1.74327i
\(743\) 23.1808 + 23.1808i 0.850422 + 0.850422i 0.990185 0.139763i \(-0.0446339\pi\)
−0.139763 + 0.990185i \(0.544634\pi\)
\(744\) 2.07194 + 5.09934i 0.0759609 + 0.186951i
\(745\) −1.63769 1.92410i −0.0600001 0.0704935i
\(746\) −15.4810 32.6458i −0.566800 1.19525i
\(747\) −1.82263 + 11.5076i −0.0666866 + 0.421043i
\(748\) −26.3338 + 23.4970i −0.962857 + 0.859134i
\(749\) 14.5433i 0.531400i
\(750\) −4.20449 + 15.2421i −0.153526 + 0.556564i
\(751\) 6.42557i 0.234473i 0.993104 + 0.117236i \(0.0374035\pi\)
−0.993104 + 0.117236i \(0.962597\pi\)
\(752\) 16.7743 + 44.9043i 0.611694 + 1.63749i
\(753\) −0.273778 + 1.72856i −0.00997701 + 0.0629924i
\(754\) 27.0978 12.8501i 0.986844 0.467973i
\(755\) 8.24414 + 9.68595i 0.300035 + 0.352508i
\(756\) −2.86914 4.46199i −0.104349 0.162281i
\(757\) −13.6083 13.6083i −0.494602 0.494602i 0.415150 0.909753i \(-0.363729\pi\)
−0.909753 + 0.415150i \(0.863729\pi\)
\(758\) 32.4728 + 0.923570i 1.17947 + 0.0335456i
\(759\) −6.41794 + 19.7524i −0.232957 + 0.716966i
\(760\) 9.08204 27.1673i 0.329440 0.985462i
\(761\) 2.47261 + 7.60993i 0.0896322 + 0.275860i 0.985818 0.167820i \(-0.0536728\pi\)
−0.896185 + 0.443680i \(0.853673\pi\)
\(762\) −4.90443 16.6952i −0.177669 0.604802i
\(763\) 32.9967 16.8126i 1.19456 0.608659i
\(764\) 2.75825 48.4509i 0.0997899 1.75289i
\(765\) 6.71119 + 10.9936i 0.242644 + 0.397474i
\(766\) −15.0750 + 27.6161i −0.544682 + 0.997810i
\(767\) −16.7832 + 2.65819i −0.606005 + 0.0959817i
\(768\) −10.2917 + 12.2508i −0.371369 + 0.442062i
\(769\) 21.7509 29.9376i 0.784358 1.07958i −0.210430 0.977609i \(-0.567486\pi\)
0.994788 0.101967i \(-0.0325137\pi\)
\(770\) −10.5441 + 23.4326i −0.379983 + 0.844454i
\(771\) −0.662185 0.911419i −0.0238480 0.0328240i
\(772\) −41.8730 24.4277i −1.50704 0.879172i
\(773\) 44.7020 + 22.7768i 1.60782 + 0.819226i 0.999677 + 0.0253983i \(0.00808540\pi\)