Properties

Label 177.2.f.a.83.6
Level $177$
Weight $2$
Character 177.83
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 83.6
Character \(\chi\) \(=\) 177.83
Dual form 177.2.f.a.32.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.252641 - 0.909931i) q^{2} +(-1.39523 + 1.02632i) q^{3} +(0.949568 - 0.571336i) q^{4} +(-2.96288 + 0.160643i) q^{5} +(1.28637 + 1.01028i) q^{6} +(-0.330530 - 2.01614i) q^{7} +(-2.13097 - 2.01856i) q^{8} +(0.893347 - 2.86390i) q^{9} +O(q^{10})\) \(q+(-0.252641 - 0.909931i) q^{2} +(-1.39523 + 1.02632i) q^{3} +(0.949568 - 0.571336i) q^{4} +(-2.96288 + 0.160643i) q^{5} +(1.28637 + 1.01028i) q^{6} +(-0.330530 - 2.01614i) q^{7} +(-2.13097 - 2.01856i) q^{8} +(0.893347 - 2.86390i) q^{9} +(0.894718 + 2.65543i) q^{10} +(-0.839863 - 1.58415i) q^{11} +(-0.738496 + 1.77170i) q^{12} +(-5.22613 - 2.08228i) q^{13} +(-1.75104 + 0.810120i) q^{14} +(3.96903 - 3.26499i) q^{15} +(-0.260200 + 0.490790i) q^{16} +(5.41207 + 0.887263i) q^{17} +(-2.83165 - 0.0893448i) q^{18} +(-2.57002 + 3.02566i) q^{19} +(-2.72167 + 1.84534i) q^{20} +(2.53037 + 2.47376i) q^{21} +(-1.22928 + 1.16444i) q^{22} +(-2.77697 - 2.11100i) q^{23} +(5.04488 + 0.629312i) q^{24} +(3.78215 - 0.411334i) q^{25} +(-0.574396 + 5.28149i) q^{26} +(1.69284 + 4.91267i) q^{27} +(-1.46576 - 1.72562i) q^{28} +(3.39577 + 0.942832i) q^{29} +(-3.97365 - 2.78668i) q^{30} +(4.87839 - 4.14374i) q^{31} +(-5.22090 - 1.14921i) q^{32} +(2.79764 + 1.34829i) q^{33} +(-0.559962 - 5.14876i) q^{34} +(1.30320 + 5.92049i) q^{35} +(-0.787957 - 3.22987i) q^{36} +(-0.945498 - 0.998150i) q^{37} +(3.40243 + 1.57413i) q^{38} +(9.42875 - 2.45840i) q^{39} +(6.63806 + 5.63842i) q^{40} +(2.99315 + 3.93742i) q^{41} +(1.61168 - 2.92743i) q^{42} +(0.467072 + 0.247626i) q^{43} +(-1.70259 - 1.02441i) q^{44} +(-2.18681 + 8.62890i) q^{45} +(-1.21928 + 3.06017i) q^{46} +(-0.0740635 + 1.36602i) q^{47} +(-0.140666 - 0.951814i) q^{48} +(2.67799 - 0.902320i) q^{49} +(-1.32981 - 3.33758i) q^{50} +(-8.46170 + 4.31656i) q^{51} +(-6.15225 + 1.00861i) q^{52} +(3.79684 - 11.2686i) q^{53} +(4.04250 - 2.78151i) q^{54} +(2.74289 + 4.55873i) q^{55} +(-3.36536 + 4.96353i) q^{56} +(0.480487 - 6.85915i) q^{57} -3.32812i q^{58} +(-2.66111 - 7.20545i) q^{59} +(1.90346 - 5.36798i) q^{60} +(8.81534 - 2.44757i) q^{61} +(-5.00299 - 3.39211i) q^{62} +(-6.06931 - 0.854510i) q^{63} +(0.333463 + 6.15036i) q^{64} +(15.8189 + 5.33001i) q^{65} +(0.520052 - 2.88630i) q^{66} +(-9.36183 + 9.88316i) q^{67} +(5.64605 - 2.24959i) q^{68} +(6.04107 + 0.0952809i) q^{69} +(5.05799 - 2.68158i) q^{70} +(-8.56114 - 0.464172i) q^{71} +(-7.68465 + 4.29961i) q^{72} +(-3.71634 - 8.03274i) q^{73} +(-0.669376 + 1.11251i) q^{74} +(-4.85483 + 4.45560i) q^{75} +(-0.711739 + 4.34141i) q^{76} +(-2.91627 + 2.21689i) q^{77} +(-4.61906 - 7.95841i) q^{78} +(-3.40430 - 5.02097i) q^{79} +(0.692100 - 1.49595i) q^{80} +(-7.40386 - 5.11691i) q^{81} +(2.82659 - 3.71832i) q^{82} +(-9.01688 + 1.98477i) q^{83} +(3.81610 + 0.903312i) q^{84} +(-16.1778 - 1.75944i) q^{85} +(0.107321 - 0.487563i) q^{86} +(-5.70554 + 2.16967i) q^{87} +(-1.40798 + 5.07109i) q^{88} +(-3.95723 + 14.2526i) q^{89} +(8.40418 - 0.190166i) q^{90} +(-2.47078 + 11.2249i) q^{91} +(-3.84301 - 0.417952i) q^{92} +(-2.55369 + 10.7882i) q^{93} +(1.26170 - 0.277720i) q^{94} +(7.12861 - 9.37752i) q^{95} +(8.46382 - 3.75489i) q^{96} +(0.344453 - 0.744522i) q^{97} +(-1.49762 - 2.20882i) q^{98} +(-5.28714 + 0.990090i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{53}{58}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.252641 0.909931i −0.178644 0.643418i −0.997580 0.0695326i \(-0.977849\pi\)
0.818936 0.573886i \(-0.194565\pi\)
\(3\) −1.39523 + 1.02632i −0.805538 + 0.592544i
\(4\) 0.949568 0.571336i 0.474784 0.285668i
\(5\) −2.96288 + 0.160643i −1.32504 + 0.0718416i −0.703026 0.711165i \(-0.748168\pi\)
−0.622014 + 0.783006i \(0.713685\pi\)
\(6\) 1.28637 + 1.01028i 0.525158 + 0.412443i
\(7\) −0.330530 2.01614i −0.124929 0.762030i −0.972769 0.231778i \(-0.925546\pi\)
0.847840 0.530252i \(-0.177903\pi\)
\(8\) −2.13097 2.01856i −0.753411 0.713668i
\(9\) 0.893347 2.86390i 0.297782 0.954634i
\(10\) 0.894718 + 2.65543i 0.282935 + 0.839721i
\(11\) −0.839863 1.58415i −0.253228 0.477639i 0.724008 0.689791i \(-0.242298\pi\)
−0.977237 + 0.212152i \(0.931953\pi\)
\(12\) −0.738496 + 1.77170i −0.213185 + 0.511447i
\(13\) −5.22613 2.08228i −1.44947 0.577521i −0.493175 0.869930i \(-0.664164\pi\)
−0.956293 + 0.292410i \(0.905543\pi\)
\(14\) −1.75104 + 0.810120i −0.467986 + 0.216514i
\(15\) 3.96903 3.26499i 1.02480 0.843016i
\(16\) −0.260200 + 0.490790i −0.0650501 + 0.122697i
\(17\) 5.41207 + 0.887263i 1.31262 + 0.215193i 0.777125 0.629346i \(-0.216677\pi\)
0.535494 + 0.844539i \(0.320126\pi\)
\(18\) −2.83165 0.0893448i −0.667426 0.0210588i
\(19\) −2.57002 + 3.02566i −0.589603 + 0.694134i −0.973355 0.229302i \(-0.926356\pi\)
0.383753 + 0.923436i \(0.374632\pi\)
\(20\) −2.72167 + 1.84534i −0.608585 + 0.412631i
\(21\) 2.53037 + 2.47376i 0.552171 + 0.539819i
\(22\) −1.22928 + 1.16444i −0.262084 + 0.248259i
\(23\) −2.77697 2.11100i −0.579038 0.440173i 0.274216 0.961668i \(-0.411582\pi\)
−0.853255 + 0.521495i \(0.825375\pi\)
\(24\) 5.04488 + 0.629312i 1.02978 + 0.128458i
\(25\) 3.78215 0.411334i 0.756431 0.0822668i
\(26\) −0.574396 + 5.28149i −0.112648 + 1.03578i
\(27\) 1.69284 + 4.91267i 0.325788 + 0.945443i
\(28\) −1.46576 1.72562i −0.277002 0.326112i
\(29\) 3.39577 + 0.942832i 0.630579 + 0.175079i 0.568090 0.822966i \(-0.307682\pi\)
0.0624889 + 0.998046i \(0.480096\pi\)
\(30\) −3.97365 2.78668i −0.725486 0.508775i
\(31\) 4.87839 4.14374i 0.876184 0.744237i −0.0916596 0.995790i \(-0.529217\pi\)
0.967844 + 0.251553i \(0.0809413\pi\)
\(32\) −5.22090 1.14921i −0.922933 0.203153i
\(33\) 2.79764 + 1.34829i 0.487007 + 0.234707i
\(34\) −0.559962 5.14876i −0.0960327 0.883006i
\(35\) 1.30320 + 5.92049i 0.220281 + 1.00075i
\(36\) −0.787957 3.22987i −0.131326 0.538312i
\(37\) −0.945498 0.998150i −0.155439 0.164095i 0.643625 0.765341i \(-0.277430\pi\)
−0.799064 + 0.601246i \(0.794671\pi\)
\(38\) 3.40243 + 1.57413i 0.551948 + 0.255358i
\(39\) 9.42875 2.45840i 1.50981 0.393659i
\(40\) 6.63806 + 5.63842i 1.04957 + 0.891513i
\(41\) 2.99315 + 3.93742i 0.467452 + 0.614922i 0.968050 0.250758i \(-0.0806797\pi\)
−0.500598 + 0.865680i \(0.666887\pi\)
\(42\) 1.61168 2.92743i 0.248687 0.451713i
\(43\) 0.467072 + 0.247626i 0.0712278 + 0.0377626i 0.503642 0.863913i \(-0.331993\pi\)
−0.432414 + 0.901675i \(0.642338\pi\)
\(44\) −1.70259 1.02441i −0.256675 0.154436i
\(45\) −2.18681 + 8.62890i −0.325991 + 1.28632i
\(46\) −1.21928 + 3.06017i −0.179774 + 0.451198i
\(47\) −0.0740635 + 1.36602i −0.0108033 + 0.199255i 0.988149 + 0.153496i \(0.0490532\pi\)
−0.998953 + 0.0457585i \(0.985430\pi\)
\(48\) −0.140666 0.951814i −0.0203034 0.137382i
\(49\) 2.67799 0.902320i 0.382570 0.128903i
\(50\) −1.32981 3.33758i −0.188064 0.472005i
\(51\) −8.46170 + 4.31656i −1.18488 + 0.604439i
\(52\) −6.15225 + 1.00861i −0.853163 + 0.139869i
\(53\) 3.79684 11.2686i 0.521535 1.54786i −0.286112 0.958196i \(-0.592363\pi\)
0.807647 0.589666i \(-0.200741\pi\)
\(54\) 4.04250 2.78151i 0.550115 0.378516i
\(55\) 2.74289 + 4.55873i 0.369852 + 0.614699i
\(56\) −3.36536 + 4.96353i −0.449715 + 0.663279i
\(57\) 0.480487 6.85915i 0.0636421 0.908517i
\(58\) 3.32812i 0.437003i
\(59\) −2.66111 7.20545i −0.346447 0.938069i
\(60\) 1.90346 5.36798i 0.245736 0.693003i
\(61\) 8.81534 2.44757i 1.12869 0.313379i 0.347504 0.937678i \(-0.387029\pi\)
0.781185 + 0.624299i \(0.214616\pi\)
\(62\) −5.00299 3.39211i −0.635381 0.430799i
\(63\) −6.06931 0.854510i −0.764661 0.107658i
\(64\) 0.333463 + 6.15036i 0.0416829 + 0.768795i
\(65\) 15.8189 + 5.33001i 1.96209 + 0.661106i
\(66\) 0.520052 2.88630i 0.0640140 0.355279i
\(67\) −9.36183 + 9.88316i −1.14373 + 1.20742i −0.168624 + 0.985680i \(0.553932\pi\)
−0.975106 + 0.221740i \(0.928826\pi\)
\(68\) 5.64605 2.24959i 0.684684 0.272803i
\(69\) 6.04107 + 0.0952809i 0.727259 + 0.0114705i
\(70\) 5.05799 2.68158i 0.604546 0.320510i
\(71\) −8.56114 0.464172i −1.01602 0.0550870i −0.461401 0.887191i \(-0.652653\pi\)
−0.554619 + 0.832104i \(0.687136\pi\)
\(72\) −7.68465 + 4.29961i −0.905644 + 0.506713i
\(73\) −3.71634 8.03274i −0.434965 0.940161i −0.993831 0.110903i \(-0.964626\pi\)
0.558866 0.829258i \(-0.311236\pi\)
\(74\) −0.669376 + 1.11251i −0.0778134 + 0.129327i
\(75\) −4.85483 + 4.45560i −0.560587 + 0.514488i
\(76\) −0.711739 + 4.34141i −0.0816420 + 0.497994i
\(77\) −2.91627 + 2.21689i −0.332340 + 0.252638i
\(78\) −4.61906 7.95841i −0.523006 0.901113i
\(79\) −3.40430 5.02097i −0.383014 0.564903i 0.586497 0.809951i \(-0.300506\pi\)
−0.969511 + 0.245048i \(0.921196\pi\)
\(80\) 0.692100 1.49595i 0.0773791 0.167252i
\(81\) −7.40386 5.11691i −0.822651 0.568546i
\(82\) 2.82659 3.71832i 0.312145 0.410619i
\(83\) −9.01688 + 1.98477i −0.989732 + 0.217856i −0.680195 0.733031i \(-0.738105\pi\)
−0.309536 + 0.950888i \(0.600174\pi\)
\(84\) 3.81610 + 0.903312i 0.416371 + 0.0985595i
\(85\) −16.1778 1.75944i −1.75473 0.190839i
\(86\) 0.107321 0.487563i 0.0115727 0.0525753i
\(87\) −5.70554 + 2.16967i −0.611698 + 0.232613i
\(88\) −1.40798 + 5.07109i −0.150091 + 0.540580i
\(89\) −3.95723 + 14.2526i −0.419465 + 1.51078i 0.388445 + 0.921472i \(0.373012\pi\)
−0.807910 + 0.589305i \(0.799402\pi\)
\(90\) 8.40418 0.190166i 0.885879 0.0200452i
\(91\) −2.47078 + 11.2249i −0.259008 + 1.17669i
\(92\) −3.84301 0.417952i −0.400661 0.0435746i
\(93\) −2.55369 + 10.7882i −0.264806 + 1.11869i
\(94\) 1.26170 0.277720i 0.130134 0.0286446i
\(95\) 7.12861 9.37752i 0.731379 0.962113i
\(96\) 8.46382 3.75489i 0.863835 0.383232i
\(97\) 0.344453 0.744522i 0.0349739 0.0755948i −0.889301 0.457322i \(-0.848809\pi\)
0.924275 + 0.381727i \(0.124671\pi\)
\(98\) −1.49762 2.20882i −0.151282 0.223125i
\(99\) −5.28714 + 0.990090i −0.531377 + 0.0995078i
\(100\) 3.35640 2.55147i 0.335640 0.255147i
\(101\) 0.995198 6.07044i 0.0990259 0.604031i −0.889962 0.456035i \(-0.849269\pi\)
0.988988 0.147996i \(-0.0472824\pi\)
\(102\) 6.06554 + 6.60902i 0.600578 + 0.654391i
\(103\) −2.30302 + 3.82765i −0.226924 + 0.377150i −0.949311 0.314339i \(-0.898217\pi\)
0.722387 + 0.691489i \(0.243045\pi\)
\(104\) 6.93350 + 14.9865i 0.679886 + 1.46955i
\(105\) −7.89456 6.92296i −0.770431 0.675612i
\(106\) −11.2129 0.607945i −1.08909 0.0590489i
\(107\) 12.0515 6.38932i 1.16507 0.617679i 0.230361 0.973105i \(-0.426009\pi\)
0.934704 + 0.355426i \(0.115664\pi\)
\(108\) 4.41425 + 3.69773i 0.424762 + 0.355814i
\(109\) 16.9854 6.76760i 1.62691 0.648219i 0.634693 0.772765i \(-0.281127\pi\)
0.992214 + 0.124546i \(0.0397475\pi\)
\(110\) 3.45516 3.64757i 0.329436 0.347782i
\(111\) 2.34361 + 0.422271i 0.222445 + 0.0400802i
\(112\) 1.07551 + 0.362380i 0.101626 + 0.0342417i
\(113\) −1.03474 19.0846i −0.0973397 1.79533i −0.486014 0.873951i \(-0.661550\pi\)
0.388675 0.921375i \(-0.372933\pi\)
\(114\) −6.36275 + 1.29569i −0.595926 + 0.121353i
\(115\) 8.56694 + 5.80853i 0.798871 + 0.541648i
\(116\) 3.76319 1.04484i 0.349404 0.0970114i
\(117\) −10.6322 + 13.1069i −0.982947 + 1.21174i
\(118\) −5.88415 + 4.24182i −0.541680 + 0.390491i
\(119\) 11.2048i 1.02714i
\(120\) −15.0485 1.05415i −1.37373 0.0962304i
\(121\) 4.36890 6.44364i 0.397172 0.585785i
\(122\) −4.45423 7.40300i −0.403267 0.670236i
\(123\) −8.21719 2.42170i −0.740919 0.218357i
\(124\) 2.26489 6.72196i 0.203393 0.603650i
\(125\) 3.50072 0.573914i 0.313114 0.0513324i
\(126\) 0.755812 + 5.73854i 0.0673331 + 0.511230i
\(127\) 2.02840 + 5.09090i 0.179992 + 0.451745i 0.991095 0.133158i \(-0.0425119\pi\)
−0.811103 + 0.584903i \(0.801133\pi\)
\(128\) −4.61993 + 1.55664i −0.408348 + 0.137588i
\(129\) −0.905816 + 0.133868i −0.0797527 + 0.0117864i
\(130\) 0.853435 15.7407i 0.0748512 1.38055i
\(131\) 2.64891 6.64827i 0.231437 0.580862i −0.766692 0.642015i \(-0.778099\pi\)
0.998128 + 0.0611534i \(0.0194779\pi\)
\(132\) 3.42688 0.318101i 0.298272 0.0276871i
\(133\) 6.94963 + 4.18145i 0.602610 + 0.362578i
\(134\) 11.3582 + 6.02172i 0.981197 + 0.520198i
\(135\) −5.80488 14.2837i −0.499604 1.22934i
\(136\) −9.74194 12.8153i −0.835365 1.09890i
\(137\) 17.0587 + 14.4898i 1.45742 + 1.23795i 0.918399 + 0.395656i \(0.129483\pi\)
0.539025 + 0.842290i \(0.318793\pi\)
\(138\) −1.43952 5.52103i −0.122540 0.469981i
\(139\) −18.1251 8.38555i −1.53735 0.711253i −0.545433 0.838154i \(-0.683635\pi\)
−0.991915 + 0.126901i \(0.959497\pi\)
\(140\) 4.62006 + 4.87734i 0.390467 + 0.412211i
\(141\) −1.29863 1.98193i −0.109365 0.166908i
\(142\) 1.74053 + 7.90731i 0.146062 + 0.663567i
\(143\) 1.09059 + 10.0278i 0.0911997 + 0.838567i
\(144\) 1.17312 + 1.18363i 0.0977604 + 0.0986361i
\(145\) −10.2127 2.24799i −0.848121 0.186685i
\(146\) −6.37034 + 5.41101i −0.527213 + 0.447819i
\(147\) −2.81035 + 4.00741i −0.231794 + 0.330526i
\(148\) −1.46809 0.407614i −0.120677 0.0335057i
\(149\) −5.30493 6.24545i −0.434597 0.511647i 0.500647 0.865652i \(-0.333096\pi\)
−0.935244 + 0.354005i \(0.884820\pi\)
\(150\) 5.28081 + 3.29189i 0.431176 + 0.268782i
\(151\) −0.223161 + 2.05193i −0.0181606 + 0.166984i −0.999706 0.0242453i \(-0.992282\pi\)
0.981545 + 0.191229i \(0.0612473\pi\)
\(152\) 11.5841 1.25985i 0.939595 0.102187i
\(153\) 7.37589 14.7070i 0.596305 1.18899i
\(154\) 2.75399 + 2.09353i 0.221923 + 0.168701i
\(155\) −13.7884 + 13.0611i −1.10751 + 1.04909i
\(156\) 7.54866 7.72140i 0.604377 0.618207i
\(157\) 9.16796 6.21603i 0.731683 0.496093i −0.137551 0.990495i \(-0.543923\pi\)
0.869234 + 0.494401i \(0.164613\pi\)
\(158\) −3.70867 + 4.36618i −0.295046 + 0.347355i
\(159\) 6.26769 + 19.6191i 0.497061 + 1.55589i
\(160\) 15.6535 + 2.56626i 1.23752 + 0.202881i
\(161\) −3.33820 + 6.29651i −0.263087 + 0.496235i
\(162\) −2.78552 + 8.02974i −0.218851 + 0.630876i
\(163\) 16.6065 7.68296i 1.30072 0.601776i 0.357488 0.933918i \(-0.383633\pi\)
0.943230 + 0.332141i \(0.107771\pi\)
\(164\) 5.09179 + 2.02876i 0.397602 + 0.158419i
\(165\) −8.50567 3.54540i −0.662166 0.276009i
\(166\) 4.08403 + 7.70331i 0.316983 + 0.597892i
\(167\) −2.89183 8.58266i −0.223777 0.664146i −0.999455 0.0330171i \(-0.989488\pi\)
0.775678 0.631129i \(-0.217408\pi\)
\(168\) −0.398700 10.3792i −0.0307604 0.800772i
\(169\) 13.5386 + 12.8244i 1.04143 + 0.986496i
\(170\) 2.48621 + 15.1652i 0.190684 + 1.16312i
\(171\) 6.36928 + 10.0632i 0.487071 + 0.769556i
\(172\) 0.584994 0.0317175i 0.0446054 0.00241843i
\(173\) −2.34045 + 1.40820i −0.177941 + 0.107064i −0.601738 0.798694i \(-0.705525\pi\)
0.423796 + 0.905757i \(0.360697\pi\)
\(174\) 3.41570 + 4.64350i 0.258944 + 0.352023i
\(175\) −2.07942 7.48941i −0.157190 0.566146i
\(176\) 0.996017 0.0750776
\(177\) 11.1079 + 7.32213i 0.834924 + 0.550365i
\(178\) 13.9687 1.04700
\(179\) 3.35142 + 12.0707i 0.250497 + 0.902209i 0.976679 + 0.214706i \(0.0688793\pi\)
−0.726182 + 0.687503i \(0.758707\pi\)
\(180\) 2.85347 + 9.44313i 0.212685 + 0.703850i
\(181\) −12.0746 + 7.26502i −0.897495 + 0.540005i −0.887945 0.459949i \(-0.847868\pi\)
−0.00955005 + 0.999954i \(0.503040\pi\)
\(182\) 10.8381 0.587624i 0.803372 0.0435576i
\(183\) −9.78747 + 12.4623i −0.723511 + 0.921237i
\(184\) 1.65646 + 10.1039i 0.122116 + 0.744872i
\(185\) 2.96174 + 2.80551i 0.217752 + 0.206265i
\(186\) 10.4617 0.401870i 0.767091 0.0294666i
\(187\) −3.13984 9.31870i −0.229608 0.681451i
\(188\) 0.710128 + 1.33944i 0.0517914 + 0.0976890i
\(189\) 9.34510 5.03680i 0.679756 0.366373i
\(190\) −10.3339 4.11739i −0.749698 0.298707i
\(191\) 3.66248 1.69445i 0.265008 0.122606i −0.282886 0.959154i \(-0.591292\pi\)
0.547894 + 0.836548i \(0.315430\pi\)
\(192\) −6.77748 8.23894i −0.489122 0.594595i
\(193\) −4.47939 + 8.44903i −0.322434 + 0.608174i −0.990750 0.135703i \(-0.956671\pi\)
0.668316 + 0.743878i \(0.267015\pi\)
\(194\) −0.764487 0.125331i −0.0548869 0.00899826i
\(195\) −27.5413 + 8.79860i −1.97227 + 0.630081i
\(196\) 2.02741 2.38685i 0.144815 0.170489i
\(197\) −0.243639 + 0.165192i −0.0173586 + 0.0117694i −0.569836 0.821759i \(-0.692993\pi\)
0.552477 + 0.833528i \(0.313683\pi\)
\(198\) 2.23666 + 4.56079i 0.158953 + 0.324121i
\(199\) 3.13599 2.97057i 0.222305 0.210578i −0.568439 0.822725i \(-0.692453\pi\)
0.790744 + 0.612147i \(0.209694\pi\)
\(200\) −8.88995 6.75796i −0.628614 0.477860i
\(201\) 2.91867 23.3975i 0.205867 1.65033i
\(202\) −5.77510 + 0.628080i −0.406335 + 0.0441916i
\(203\) 0.778479 7.15800i 0.0546385 0.502393i
\(204\) −5.56876 + 8.93334i −0.389891 + 0.625459i
\(205\) −9.50086 11.1853i −0.663569 0.781214i
\(206\) 4.06474 + 1.12857i 0.283204 + 0.0786311i
\(207\) −8.52648 + 6.06711i −0.592632 + 0.421693i
\(208\) 2.38180 2.02312i 0.165148 0.140278i
\(209\) 6.95157 + 1.53016i 0.480850 + 0.105843i
\(210\) −4.30493 + 8.93253i −0.297068 + 0.616403i
\(211\) 1.68136 + 15.4598i 0.115750 + 1.06430i 0.897593 + 0.440825i \(0.145314\pi\)
−0.781844 + 0.623474i \(0.785721\pi\)
\(212\) −2.83281 12.8696i −0.194558 0.883886i
\(213\) 12.4212 8.13882i 0.851084 0.557663i
\(214\) −8.85855 9.35186i −0.605558 0.639280i
\(215\) −1.42366 0.658654i −0.0970926 0.0449198i
\(216\) 6.30911 13.8858i 0.429281 0.944811i
\(217\) −9.96682 8.46589i −0.676592 0.574702i
\(218\) −10.4493 13.7458i −0.707713 0.930981i
\(219\) 13.4293 + 7.39339i 0.907468 + 0.499599i
\(220\) 5.20913 + 2.76171i 0.351199 + 0.186194i
\(221\) −26.4366 15.9064i −1.77832 1.06998i
\(222\) −0.207854 2.23920i −0.0139503 0.150286i
\(223\) −4.20864 + 10.5629i −0.281831 + 0.707343i 0.718104 + 0.695936i \(0.245010\pi\)
−0.999935 + 0.0114067i \(0.996369\pi\)
\(224\) −0.591302 + 10.9059i −0.0395080 + 0.728683i
\(225\) 2.20076 11.1992i 0.146717 0.746612i
\(226\) −17.1042 + 5.76308i −1.13776 + 0.383355i
\(227\) 1.24465 + 3.12384i 0.0826103 + 0.207336i 0.964479 0.264158i \(-0.0850941\pi\)
−0.881869 + 0.471494i \(0.843715\pi\)
\(228\) −3.46263 6.78775i −0.229318 0.449530i
\(229\) −10.8851 + 1.78452i −0.719306 + 0.117924i −0.510308 0.859992i \(-0.670469\pi\)
−0.208998 + 0.977916i \(0.567020\pi\)
\(230\) 3.12100 9.26279i 0.205793 0.610770i
\(231\) 1.79364 6.08610i 0.118013 0.400436i
\(232\) −5.33312 8.86371i −0.350136 0.581931i
\(233\) −3.25544 + 4.80142i −0.213271 + 0.314551i −0.919245 0.393687i \(-0.871199\pi\)
0.705973 + 0.708238i \(0.250510\pi\)
\(234\) 14.6125 + 6.36321i 0.955250 + 0.415976i
\(235\) 4.05925i 0.264796i
\(236\) −6.64364 5.32167i −0.432464 0.346411i
\(237\) 9.90289 + 3.51152i 0.643262 + 0.228098i
\(238\) −10.1956 + 2.83078i −0.660880 + 0.183492i
\(239\) −12.1663 8.24895i −0.786972 0.533580i 0.100229 0.994964i \(-0.468043\pi\)
−0.887200 + 0.461384i \(0.847353\pi\)
\(240\) 0.569678 + 2.79751i 0.0367726 + 0.180579i
\(241\) 0.922799 + 17.0200i 0.0594427 + 1.09636i 0.864329 + 0.502927i \(0.167744\pi\)
−0.804886 + 0.593429i \(0.797774\pi\)
\(242\) −6.96703 2.34747i −0.447858 0.150901i
\(243\) 15.5817 0.459425i 0.999566 0.0294721i
\(244\) 6.97238 7.36066i 0.446361 0.471218i
\(245\) −7.78961 + 3.10366i −0.497660 + 0.198286i
\(246\) −0.127579 + 8.08889i −0.00813417 + 0.515729i
\(247\) 19.7315 10.4610i 1.25549 0.665617i
\(248\) −18.7601 1.01714i −1.19127 0.0645885i
\(249\) 10.5436 12.0234i 0.668177 0.761951i
\(250\) −1.40665 3.04042i −0.0889642 0.192293i
\(251\) 3.18714 5.29706i 0.201170 0.334348i −0.739806 0.672820i \(-0.765083\pi\)
0.940976 + 0.338473i \(0.109910\pi\)
\(252\) −6.25144 + 2.65620i −0.393803 + 0.167325i
\(253\) −1.01186 + 6.17208i −0.0636152 + 0.388036i
\(254\) 4.11991 3.13188i 0.258506 0.196511i
\(255\) 24.3776 14.1487i 1.52658 0.886029i
\(256\) 9.49676 + 14.0067i 0.593547 + 0.875417i
\(257\) −5.71319 + 12.3489i −0.356379 + 0.770301i 0.643609 + 0.765355i \(0.277436\pi\)
−0.999988 + 0.00494605i \(0.998426\pi\)
\(258\) 0.350657 + 0.790410i 0.0218310 + 0.0492087i
\(259\) −1.69990 + 2.23618i −0.105627 + 0.138949i
\(260\) 18.0663 3.97670i 1.12043 0.246625i
\(261\) 5.73378 8.88288i 0.354912 0.549837i
\(262\) −6.71869 0.730701i −0.415082 0.0451429i
\(263\) −2.45065 + 11.1334i −0.151113 + 0.686515i 0.838753 + 0.544512i \(0.183285\pi\)
−0.989866 + 0.142003i \(0.954646\pi\)
\(264\) −3.24008 8.52038i −0.199413 0.524393i
\(265\) −9.43935 + 33.9974i −0.579854 + 2.08845i
\(266\) 2.04907 7.38009i 0.125637 0.452502i
\(267\) −9.10648 23.9471i −0.557307 1.46554i
\(268\) −3.24309 + 14.7335i −0.198103 + 0.899991i
\(269\) 0.868858 + 0.0944940i 0.0529752 + 0.00576140i 0.134568 0.990904i \(-0.457035\pi\)
−0.0815930 + 0.996666i \(0.526001\pi\)
\(270\) −11.5306 + 8.89068i −0.701731 + 0.541070i
\(271\) 1.53352 0.337553i 0.0931546 0.0205049i −0.168149 0.985762i \(-0.553779\pi\)
0.261303 + 0.965257i \(0.415848\pi\)
\(272\) −1.84368 + 2.42532i −0.111790 + 0.147057i
\(273\) −8.07297 18.1971i −0.488598 1.10134i
\(274\) 8.87498 19.1830i 0.536157 1.15888i
\(275\) −3.82811 5.64604i −0.230844 0.340469i
\(276\) 5.79084 3.36100i 0.348568 0.202309i
\(277\) 0.675098 0.513196i 0.0405627 0.0308349i −0.584696 0.811252i \(-0.698786\pi\)
0.625259 + 0.780417i \(0.284993\pi\)
\(278\) −3.05113 + 18.6111i −0.182995 + 1.11622i
\(279\) −7.50917 17.6730i −0.449562 1.05806i
\(280\) 9.17379 15.2470i 0.548239 0.911180i
\(281\) −12.8166 27.7026i −0.764573 1.65260i −0.757685 0.652620i \(-0.773670\pi\)
−0.00688767 0.999976i \(-0.502192\pi\)
\(282\) −1.47533 + 1.68238i −0.0878546 + 0.100184i
\(283\) 14.6631 + 0.795013i 0.871634 + 0.0472586i 0.484527 0.874776i \(-0.338992\pi\)
0.387107 + 0.922035i \(0.373475\pi\)
\(284\) −8.39458 + 4.45053i −0.498127 + 0.264090i
\(285\) −0.321753 + 20.4000i −0.0190590 + 1.20839i
\(286\) 8.84908 3.52580i 0.523257 0.208485i
\(287\) 6.94908 7.33606i 0.410191 0.433034i
\(288\) −7.95529 + 13.9255i −0.468770 + 0.820568i
\(289\) 12.3931 + 4.17573i 0.729007 + 0.245631i
\(290\) 0.534637 + 9.86081i 0.0313950 + 0.579046i
\(291\) 0.283524 + 1.39230i 0.0166205 + 0.0816180i
\(292\) −8.11831 5.50435i −0.475088 0.322118i
\(293\) −9.44618 + 2.62272i −0.551852 + 0.153221i −0.532250 0.846587i \(-0.678654\pi\)
−0.0196014 + 0.999808i \(0.506240\pi\)
\(294\) 4.35648 + 1.54479i 0.254075 + 0.0900939i
\(295\) 9.04205 + 20.9214i 0.526449 + 1.21809i
\(296\) 4.03557i 0.234563i
\(297\) 6.36064 6.80769i 0.369082 0.395022i
\(298\) −4.34268 + 6.40498i −0.251565 + 0.371030i
\(299\) 10.1171 + 16.8148i 0.585088 + 0.972423i
\(300\) −2.06434 + 7.00463i −0.119185 + 0.404412i
\(301\) 0.344868 1.02353i 0.0198779 0.0589954i
\(302\) 1.92349 0.315340i 0.110685 0.0181458i
\(303\) 4.84166 + 9.49106i 0.278146 + 0.545247i
\(304\) −0.816244 2.04862i −0.0468148 0.117496i
\(305\) −25.7256 + 8.66797i −1.47304 + 0.496326i
\(306\) −15.2458 2.99596i −0.871544 0.171267i
\(307\) 0.560277 10.3337i 0.0319767 0.589776i −0.938009 0.346612i \(-0.887332\pi\)
0.969985 0.243164i \(-0.0781852\pi\)
\(308\) −1.50261 + 3.77126i −0.0856191 + 0.214888i
\(309\) −0.715134 7.70410i −0.0406825 0.438271i
\(310\) 15.3682 + 9.24673i 0.872854 + 0.525179i
\(311\) 5.70380 + 3.02396i 0.323433 + 0.171473i 0.622211 0.782849i \(-0.286234\pi\)
−0.298779 + 0.954322i \(0.596579\pi\)
\(312\) −25.0548 13.7937i −1.41845 0.780915i
\(313\) −11.4246 15.0288i −0.645756 0.849477i 0.350443 0.936584i \(-0.386031\pi\)
−0.996199 + 0.0871068i \(0.972238\pi\)
\(314\) −7.97236 6.77178i −0.449906 0.382154i
\(315\) 18.1199 + 1.55682i 1.02094 + 0.0877168i
\(316\) −6.10127 2.82275i −0.343223 0.158792i
\(317\) 20.1383 + 21.2597i 1.13108 + 1.19406i 0.978603 + 0.205757i \(0.0659655\pi\)
0.152474 + 0.988307i \(0.451276\pi\)
\(318\) 16.2685 10.6598i 0.912294 0.597769i
\(319\) −1.35840 6.17126i −0.0760557 0.345524i
\(320\) −1.97602 18.1692i −0.110463 1.01569i
\(321\) −10.2572 + 21.2833i −0.572502 + 1.18792i
\(322\) 6.57276 + 1.44677i 0.366285 + 0.0806255i
\(323\) −16.5937 + 14.0948i −0.923297 + 0.784255i
\(324\) −9.95395 0.628764i −0.552997 0.0349313i
\(325\) −20.6225 5.72582i −1.14393 0.317611i
\(326\) −11.1864 13.1697i −0.619559 0.729402i
\(327\) −16.7529 + 26.8748i −0.926436 + 1.48618i
\(328\) 1.56962 14.4324i 0.0866675 0.796895i
\(329\) 2.77857 0.302188i 0.153188 0.0166602i
\(330\) −1.07719 + 8.63529i −0.0592973 + 0.475357i
\(331\) −6.86467 5.21838i −0.377316 0.286828i 0.399277 0.916830i \(-0.369261\pi\)
−0.776594 + 0.630002i \(0.783054\pi\)
\(332\) −7.42817 + 7.03634i −0.407674 + 0.386169i
\(333\) −3.70326 + 1.81612i −0.202937 + 0.0995227i
\(334\) −7.07903 + 4.79970i −0.387347 + 0.262628i
\(335\) 26.1503 30.7865i 1.42874 1.68205i
\(336\) −1.87250 + 0.598206i −0.102153 + 0.0326348i
\(337\) 9.26472 + 1.51887i 0.504681 + 0.0827383i 0.408744 0.912649i \(-0.365967\pi\)
0.0959374 + 0.995387i \(0.469415\pi\)
\(338\) 8.24895 15.5592i 0.448684 0.846307i
\(339\) 21.0305 + 25.5655i 1.14222 + 1.38852i
\(340\) −16.3672 + 7.57226i −0.887635 + 0.410664i
\(341\) −10.6615 4.24792i −0.577351 0.230038i
\(342\) 7.54772 8.33799i 0.408134 0.450867i
\(343\) −9.40326 17.7364i −0.507728 0.957677i
\(344\) −0.495467 1.47049i −0.0267138 0.0792838i
\(345\) −17.9143 + 0.688148i −0.964471 + 0.0370486i
\(346\) 1.87266 + 1.77388i 0.100675 + 0.0953643i
\(347\) −0.443270 2.70383i −0.0237960 0.145149i 0.972256 0.233918i \(-0.0751549\pi\)
−0.996052 + 0.0887694i \(0.971707\pi\)
\(348\) −4.17818 + 5.32003i −0.223974 + 0.285183i
\(349\) −7.89060 + 0.427816i −0.422374 + 0.0229005i −0.264101 0.964495i \(-0.585075\pi\)
−0.158273 + 0.987395i \(0.550593\pi\)
\(350\) −6.28949 + 3.78426i −0.336188 + 0.202277i
\(351\) 1.38252 29.1992i 0.0737936 1.55854i
\(352\) 2.56433 + 9.23586i 0.136679 + 0.492273i
\(353\) 25.9236 1.37977 0.689887 0.723917i \(-0.257660\pi\)
0.689887 + 0.723917i \(0.257660\pi\)
\(354\) 3.85631 11.9573i 0.204961 0.635525i
\(355\) 25.4402 1.35022
\(356\) 4.38539 + 15.7948i 0.232425 + 0.837121i
\(357\) 11.4996 + 15.6333i 0.608626 + 0.827399i
\(358\) 10.1368 6.09912i 0.535748 0.322349i
\(359\) 28.8688 1.56522i 1.52364 0.0826093i 0.726820 0.686827i \(-0.240997\pi\)
0.796819 + 0.604218i \(0.206514\pi\)
\(360\) 22.0780 13.9737i 1.16361 0.736478i
\(361\) 0.524235 + 3.19769i 0.0275913 + 0.168300i
\(362\) 9.66120 + 9.15157i 0.507781 + 0.480996i
\(363\) 0.517592 + 13.4742i 0.0271665 + 0.707215i
\(364\) 4.06700 + 12.0704i 0.213169 + 0.632663i
\(365\) 12.3015 + 23.2030i 0.643888 + 1.21450i
\(366\) 13.8125 + 5.75744i 0.721992 + 0.300946i
\(367\) −14.4075 5.74047i −0.752065 0.299650i −0.0375730 0.999294i \(-0.511963\pi\)
−0.714492 + 0.699644i \(0.753342\pi\)
\(368\) 1.75862 0.813626i 0.0916746 0.0424132i
\(369\) 13.9503 5.05461i 0.726224 0.263132i
\(370\) 1.80456 3.40377i 0.0938148 0.176953i
\(371\) −23.9741 3.93035i −1.24467 0.204054i
\(372\) 3.73881 + 11.7032i 0.193848 + 0.606782i
\(373\) −6.73032 + 7.92355i −0.348483 + 0.410266i −0.908279 0.418365i \(-0.862603\pi\)
0.559796 + 0.828630i \(0.310879\pi\)
\(374\) −7.68612 + 5.21132i −0.397440 + 0.269471i
\(375\) −4.29530 + 4.39359i −0.221808 + 0.226884i
\(376\) 2.91522 2.76144i 0.150341 0.142411i
\(377\) −15.7835 11.9983i −0.812892 0.617945i
\(378\) −6.94409 7.23089i −0.357166 0.371917i
\(379\) 32.0043 3.48068i 1.64395 0.178791i 0.761163 0.648560i \(-0.224628\pi\)
0.882789 + 0.469769i \(0.155663\pi\)
\(380\) 1.41138 12.9774i 0.0724022 0.665728i
\(381\) −8.05497 5.02121i −0.412669 0.257244i
\(382\) −2.46712 2.90452i −0.126229 0.148608i
\(383\) −3.60935 1.00213i −0.184429 0.0512065i 0.174086 0.984730i \(-0.444303\pi\)
−0.358515 + 0.933524i \(0.616717\pi\)
\(384\) 4.84827 6.91338i 0.247412 0.352797i
\(385\) 8.28444 7.03686i 0.422214 0.358632i
\(386\) 8.81971 + 1.94136i 0.448911 + 0.0988128i
\(387\) 1.12643 1.11643i 0.0572598 0.0567514i
\(388\) −0.0982912 0.903773i −0.00498998 0.0458821i
\(389\) 4.53521 + 20.6037i 0.229944 + 1.04465i 0.940179 + 0.340682i \(0.110658\pi\)
−0.710235 + 0.703965i \(0.751411\pi\)
\(390\) 14.9642 + 22.8378i 0.757741 + 1.15644i
\(391\) −13.1561 13.8888i −0.665334 0.702385i
\(392\) −7.52810 3.48287i −0.380226 0.175911i
\(393\) 3.12738 + 11.9945i 0.157756 + 0.605043i
\(394\) 0.211866 + 0.179961i 0.0106737 + 0.00906629i
\(395\) 10.8931 + 14.3296i 0.548092 + 0.721002i
\(396\) −4.45482 + 3.96089i −0.223863 + 0.199042i
\(397\) 24.8659 + 13.1831i 1.24798 + 0.661639i 0.955601 0.294663i \(-0.0952074\pi\)
0.292382 + 0.956302i \(0.405552\pi\)
\(398\) −3.49529 2.10305i −0.175203 0.105416i
\(399\) −13.9878 + 1.29842i −0.700268 + 0.0650025i
\(400\) −0.782239 + 1.96327i −0.0391120 + 0.0981636i
\(401\) −0.668585 + 12.3313i −0.0333876 + 0.615797i 0.933184 + 0.359399i \(0.117018\pi\)
−0.966571 + 0.256398i \(0.917464\pi\)
\(402\) −22.0275 + 3.25539i −1.09863 + 0.162364i
\(403\) −34.1235 + 11.4975i −1.69981 + 0.572734i
\(404\) −2.52325 6.33288i −0.125536 0.315073i
\(405\) 22.7587 + 13.9714i 1.13089 + 0.694246i
\(406\) −6.70996 + 1.10004i −0.333010 + 0.0545942i
\(407\) −0.787131 + 2.33612i −0.0390166 + 0.115797i
\(408\) 26.7448 + 7.88201i 1.32407 + 0.390218i
\(409\) −14.3626 23.8708i −0.710185 1.18034i −0.976306 0.216397i \(-0.930570\pi\)
0.266121 0.963940i \(-0.414258\pi\)
\(410\) −7.77752 + 11.4710i −0.384104 + 0.566512i
\(411\) −38.6720 2.70899i −1.90755 0.133625i
\(412\) 4.95042i 0.243890i
\(413\) −13.6476 + 7.74680i −0.671556 + 0.381195i
\(414\) 7.67479 + 6.22571i 0.377195 + 0.305977i
\(415\) 26.3971 7.32912i 1.29578 0.359772i
\(416\) 24.8921 + 16.8773i 1.22044 + 0.827477i
\(417\) 33.8949 6.90228i 1.65984 0.338006i
\(418\) −0.363915 6.71202i −0.0177997 0.328296i
\(419\) −11.1699 3.76359i −0.545686 0.183863i 0.0329378 0.999457i \(-0.489514\pi\)
−0.578624 + 0.815594i \(0.696410\pi\)
\(420\) −11.4518 2.06338i −0.558789 0.100682i
\(421\) −3.17654 + 3.35344i −0.154815 + 0.163436i −0.798789 0.601611i \(-0.794526\pi\)
0.643974 + 0.765047i \(0.277284\pi\)
\(422\) 13.6426 5.43571i 0.664111 0.264606i
\(423\) 3.84598 + 1.43244i 0.186998 + 0.0696476i
\(424\) −30.8373 + 16.3489i −1.49759 + 0.793972i
\(425\) 20.8342 + 1.12960i 1.01061 + 0.0547936i
\(426\) −10.5439 9.24620i −0.510851 0.447980i
\(427\) −7.84838 16.9640i −0.379810 0.820945i
\(428\) 7.79330 12.9526i 0.376703 0.626086i
\(429\) −11.8133 12.8718i −0.570353 0.621458i
\(430\) −0.239655 + 1.46183i −0.0115572 + 0.0704958i
\(431\) 17.8056 13.5355i 0.857666 0.651981i −0.0810357 0.996711i \(-0.525823\pi\)
0.938702 + 0.344730i \(0.112030\pi\)
\(432\) −2.85156 0.447446i −0.137196 0.0215278i
\(433\) 11.1933 + 16.5088i 0.537914 + 0.793363i 0.995395 0.0958557i \(-0.0305587\pi\)
−0.457481 + 0.889219i \(0.651248\pi\)
\(434\) −5.18535 + 11.2079i −0.248905 + 0.537999i
\(435\) 16.5563 7.34502i 0.793813 0.352167i
\(436\) 12.2622 16.1307i 0.587254 0.772519i
\(437\) 13.5240 2.97686i 0.646942 0.142403i
\(438\) 3.33469 14.0876i 0.159337 0.673132i
\(439\) −35.0888 3.81614i −1.67470 0.182135i −0.779070 0.626937i \(-0.784308\pi\)
−0.895629 + 0.444802i \(0.853274\pi\)
\(440\) 3.35704 15.2512i 0.160041 0.727072i
\(441\) −0.191781 8.47558i −0.00913244 0.403599i
\(442\) −7.79474 + 28.0741i −0.370758 + 1.33535i
\(443\) −8.40656 + 30.2777i −0.399408 + 1.43854i 0.441453 + 0.897285i \(0.354463\pi\)
−0.840860 + 0.541252i \(0.817950\pi\)
\(444\) 2.46667 0.938013i 0.117063 0.0445161i
\(445\) 9.43520 42.8646i 0.447271 2.03197i
\(446\) 10.6748 + 1.16095i 0.505465 + 0.0549726i
\(447\) 13.8114 + 3.26931i 0.653258 + 0.154633i
\(448\) 12.2898 2.70519i 0.580638 0.127808i
\(449\) −4.07451 + 5.35993i −0.192288 + 0.252951i −0.882126 0.471013i \(-0.843889\pi\)
0.689838 + 0.723964i \(0.257682\pi\)
\(450\) −10.7465 + 0.826838i −0.506594 + 0.0389775i
\(451\) 3.72363 8.04850i 0.175339 0.378989i
\(452\) −11.8863 17.5309i −0.559083 0.824585i
\(453\) −1.79457 3.09195i −0.0843161 0.145272i
\(454\) 2.52803 1.92175i 0.118646 0.0901924i
\(455\) 5.51744 33.6549i 0.258661 1.57776i
\(456\) −14.8695 + 13.6467i −0.696329 + 0.639067i
\(457\) 19.1346 31.8020i 0.895081 1.48764i 0.0221711 0.999754i \(-0.492942\pi\)
0.872910 0.487882i \(-0.162230\pi\)
\(458\) 4.37380 + 9.45382i 0.204374 + 0.441748i
\(459\) 4.80296 + 28.0897i 0.224183 + 1.31111i
\(460\) 11.4535 + 0.620991i 0.534023 + 0.0289539i
\(461\) 8.98574 4.76394i 0.418508 0.221879i −0.245827 0.969314i \(-0.579060\pi\)
0.664335 + 0.747435i \(0.268715\pi\)
\(462\) −5.99108 0.0944924i −0.278730 0.00439618i
\(463\) −12.0434 + 4.79852i −0.559703 + 0.223006i −0.632795 0.774319i \(-0.718093\pi\)
0.0730921 + 0.997325i \(0.476713\pi\)
\(464\) −1.34631 + 1.42129i −0.0625010 + 0.0659815i
\(465\) 5.83323 32.3745i 0.270510 1.50133i
\(466\) 5.19142 + 1.74919i 0.240488 + 0.0810298i
\(467\) −0.0660017 1.21733i −0.00305420 0.0563313i 0.996609 0.0822830i \(-0.0262211\pi\)
−0.999663 + 0.0259517i \(0.991738\pi\)
\(468\) −2.60753 + 18.5205i −0.120533 + 0.856109i
\(469\) 23.0202 + 15.6081i 1.06298 + 0.720715i
\(470\) −3.69364 + 1.02553i −0.170375 + 0.0473043i
\(471\) −6.41182 + 18.0820i −0.295441 + 0.833177i
\(472\) −8.87388 + 20.7262i −0.408454 + 0.954000i
\(473\) 0.947884i 0.0435837i
\(474\) 0.693367 9.89810i 0.0318474 0.454635i
\(475\) −8.47565 + 12.5007i −0.388890 + 0.573569i
\(476\) −6.40169 10.6397i −0.293421 0.487669i
\(477\) −28.8803 20.9405i −1.32234 0.958801i
\(478\) −4.43227 + 13.1545i −0.202727 + 0.601673i
\(479\) −11.1333 + 1.82521i −0.508694 + 0.0833961i −0.410663 0.911787i \(-0.634703\pi\)
−0.0980308 + 0.995183i \(0.531254\pi\)
\(480\) −24.4741 + 12.4849i −1.11708 + 0.569856i
\(481\) 2.86287 + 7.18526i 0.130536 + 0.327619i
\(482\) 15.2539 5.13964i 0.694796 0.234104i
\(483\) −1.80465 12.2112i −0.0821146 0.555627i
\(484\) 0.467080 8.61478i 0.0212309 0.391581i
\(485\) −0.900970 + 2.26126i −0.0409109 + 0.102679i
\(486\) −4.35462 14.0622i −0.197529 0.637874i
\(487\) 7.56501 + 4.55171i 0.342803 + 0.206258i 0.676535 0.736410i \(-0.263481\pi\)
−0.333732 + 0.942668i \(0.608308\pi\)
\(488\) −23.7258 12.5786i −1.07402 0.569407i
\(489\) −15.2847 + 27.7630i −0.691198 + 1.25549i
\(490\) 4.79209 + 6.30389i 0.216485 + 0.284781i
\(491\) 4.54601 + 3.86142i 0.205159 + 0.174263i 0.744075 0.668096i \(-0.232890\pi\)
−0.538917 + 0.842359i \(0.681166\pi\)
\(492\) −9.18638 + 2.39521i −0.414154 + 0.107984i
\(493\) 17.5416 + 8.11561i 0.790034 + 0.365509i
\(494\) −14.5038 15.3114i −0.652556 0.688895i
\(495\) 15.5061 3.78286i 0.696947 0.170027i
\(496\) 0.764347 + 3.47246i 0.0343202 + 0.155918i
\(497\) 1.89388 + 17.4139i 0.0849520 + 0.781120i
\(498\) −13.6042 6.55639i −0.609619 0.293799i
\(499\) 27.9183 + 6.14529i 1.24980 + 0.275101i 0.790102 0.612976i \(-0.210028\pi\)
0.459695 + 0.888077i \(0.347959\pi\)
\(500\) 2.99627 2.54506i 0.133997 0.113818i
\(501\) 12.8433 + 9.00686i 0.573797 + 0.402397i
\(502\) −5.62516 1.56182i −0.251063 0.0697074i
\(503\) −2.85680 3.36328i −0.127378 0.149961i 0.694776 0.719227i \(-0.255504\pi\)
−0.822154 + 0.569265i \(0.807228\pi\)
\(504\) 11.2086 + 14.0722i 0.499272 + 0.626826i
\(505\) −1.97348 + 18.1458i −0.0878187 + 0.807479i
\(506\) 5.87181 0.638597i 0.261034 0.0283891i
\(507\) −32.0514 3.99818i −1.42345 0.177566i
\(508\) 4.83472 + 3.67526i 0.214506 + 0.163063i
\(509\) −9.72736 + 9.21425i −0.431158 + 0.408414i −0.872260 0.489043i \(-0.837346\pi\)
0.441102 + 0.897457i \(0.354588\pi\)
\(510\) −19.0332 18.6074i −0.842802 0.823947i
\(511\) −14.9668 + 10.1477i −0.662092 + 0.448909i
\(512\) 4.03365 4.74878i 0.178264 0.209868i
\(513\) −19.2147 7.50367i −0.848350 0.331295i
\(514\) 12.6800 + 2.07878i 0.559291 + 0.0916910i
\(515\) 6.20869 11.7108i 0.273588 0.516041i
\(516\) −0.783650 + 0.644642i −0.0344983 + 0.0283788i
\(517\) 2.22618 1.02994i 0.0979075 0.0452968i
\(518\) 2.46423 + 0.981839i 0.108272 + 0.0431395i
\(519\) 1.82021 4.36682i 0.0798984 0.191682i
\(520\) −22.9506 43.2894i −1.00645 1.89837i
\(521\) 6.89436 + 20.4617i 0.302047 + 0.896444i 0.985975 + 0.166894i \(0.0533739\pi\)
−0.683928 + 0.729550i \(0.739730\pi\)
\(522\) −9.53140 2.97316i −0.417178 0.130132i
\(523\) −14.9544 14.1656i −0.653911 0.619417i 0.287057 0.957913i \(-0.407323\pi\)
−0.940968 + 0.338496i \(0.890082\pi\)
\(524\) −1.28307 7.82640i −0.0560513 0.341898i
\(525\) 10.5878 + 8.31531i 0.462089 + 0.362910i
\(526\) 10.7498 0.582835i 0.468712 0.0254128i
\(527\) 30.0787 18.0978i 1.31025 0.788351i
\(528\) −1.38968 + 1.02223i −0.0604779 + 0.0444868i
\(529\) −2.89790 10.4373i −0.125996 0.453796i
\(530\) 33.3201 1.44733
\(531\) −23.0130 + 1.18420i −0.998679 + 0.0513897i
\(532\) 8.98816 0.389686
\(533\) −7.44378 26.8101i −0.322426 1.16127i
\(534\) −19.4895 + 14.3363i −0.843395 + 0.620392i
\(535\) −34.6808 + 20.8668i −1.49938 + 0.902149i
\(536\) 39.8995 2.16329i 1.72340 0.0934398i
\(537\) −17.0644 13.4019i −0.736383 0.578333i
\(538\) −0.133526 0.814474i −0.00575672 0.0351145i
\(539\) −3.67856 3.48451i −0.158447 0.150089i
\(540\) −13.6729 10.2468i −0.588388 0.440952i
\(541\) −10.0976 29.9686i −0.434129 1.28845i −0.912062 0.410053i \(-0.865510\pi\)
0.477933 0.878397i \(-0.341386\pi\)
\(542\) −0.694579 1.31012i −0.0298347 0.0562743i
\(543\) 9.39060 22.5287i 0.402989 0.966800i
\(544\) −27.2362 10.8519i −1.16774 0.465271i
\(545\) −49.2385 + 22.7802i −2.10915 + 0.975795i
\(546\) −14.5186 + 11.9432i −0.621337 + 0.511121i
\(547\) 14.4514 27.2582i 0.617897 1.16548i −0.355137 0.934814i \(-0.615566\pi\)
0.973034 0.230663i \(-0.0740893\pi\)
\(548\) 24.4769 + 4.01279i 1.04560 + 0.171418i
\(549\) 0.865566 27.4328i 0.0369414 1.17080i
\(550\) −4.17036 + 4.90973i −0.177825 + 0.209352i
\(551\) −11.5799 + 7.85136i −0.493320 + 0.334479i
\(552\) −12.6810 12.3973i −0.539739 0.527664i
\(553\) −8.99776 + 8.52313i −0.382624 + 0.362441i
\(554\) −0.637530 0.484638i −0.0270861 0.0205903i
\(555\) −7.01166 0.874654i −0.297628 0.0371270i
\(556\) −22.0020 + 2.39286i −0.933091 + 0.101480i
\(557\) 0.781342 7.18432i 0.0331065 0.304409i −0.965864 0.259049i \(-0.916591\pi\)
0.998971 0.0453604i \(-0.0144436\pi\)
\(558\) −14.1841 + 11.2977i −0.600460 + 0.478272i
\(559\) −1.92535 2.26670i −0.0814337 0.0958712i
\(560\) −3.24481 0.900917i −0.137118 0.0380707i
\(561\) 13.9447 + 9.77929i 0.588748 + 0.412882i
\(562\) −21.9694 + 18.6610i −0.926724 + 0.787167i
\(563\) −11.3930 2.50778i −0.480156 0.105690i −0.0317043 0.999497i \(-0.510093\pi\)
−0.448452 + 0.893807i \(0.648025\pi\)
\(564\) −2.36549 1.14002i −0.0996050 0.0480035i
\(565\) 6.13159 + 56.3791i 0.257958 + 2.37189i
\(566\) −2.98111 13.5433i −0.125305 0.569267i
\(567\) −7.86923 + 16.6185i −0.330477 + 0.697913i
\(568\) 17.3066 + 18.2703i 0.726167 + 0.766605i
\(569\) −29.6422 13.7139i −1.24267 0.574918i −0.315270 0.949002i \(-0.602095\pi\)
−0.927395 + 0.374084i \(0.877957\pi\)
\(570\) 18.6439 4.86111i 0.780907 0.203610i
\(571\) 23.3149 + 19.8039i 0.975700 + 0.828767i 0.985238 0.171187i \(-0.0547603\pi\)
−0.00953835 + 0.999955i \(0.503036\pi\)
\(572\) 6.76484 + 8.89899i 0.282852 + 0.372085i
\(573\) −3.37098 + 6.12301i −0.140825 + 0.255793i
\(574\) −8.43093 4.46979i −0.351900 0.186566i
\(575\) −11.3713 6.84185i −0.474214 0.285325i
\(576\) 17.9119 + 4.53940i 0.746330 + 0.189142i
\(577\) −1.32330 + 3.32123i −0.0550896 + 0.138265i −0.953946 0.299980i \(-0.903020\pi\)
0.898856 + 0.438244i \(0.144399\pi\)
\(578\) 0.668613 12.3318i 0.0278106 0.512937i
\(579\) −2.42159 16.3856i −0.100638 0.680963i
\(580\) −10.9820 + 3.70028i −0.456004 + 0.153646i
\(581\) 6.98192 + 17.5233i 0.289659 + 0.726989i
\(582\) 1.19527 0.609739i 0.0495454 0.0252745i
\(583\) −21.0400 + 3.44933i −0.871387 + 0.142857i
\(584\) −8.29516 + 24.6192i −0.343256 + 1.01875i
\(585\) 29.3964 40.5422i 1.21539 1.67621i
\(586\) 4.77299 + 7.93276i 0.197170 + 0.327699i
\(587\) 16.7459 24.6983i 0.691176 1.01941i −0.306540 0.951858i \(-0.599171\pi\)
0.997716 0.0675505i \(-0.0215184\pi\)
\(588\) −0.379041 + 5.41097i −0.0156314 + 0.223145i
\(589\) 25.4098i 1.04699i
\(590\) 16.7526 13.5132i 0.689694 0.556331i
\(591\) 0.170395 0.480532i 0.00700910 0.0197664i
\(592\) 0.735901 0.204322i 0.0302453 0.00839758i
\(593\) 12.1949 + 8.26837i 0.500786 + 0.339541i 0.785284 0.619135i \(-0.212517\pi\)
−0.284498 + 0.958677i \(0.591827\pi\)
\(594\) −7.80148 4.06784i −0.320099 0.166906i
\(595\) 1.79996 + 33.1984i 0.0737913 + 1.36100i
\(596\) −8.60564 2.89958i −0.352501 0.118771i
\(597\) −1.32669 + 7.36316i −0.0542979 + 0.301354i
\(598\) 12.7443 13.4540i 0.521152 0.550174i
\(599\) −2.33104 + 0.928770i −0.0952436 + 0.0379485i −0.417273 0.908781i \(-0.637014\pi\)
0.322030 + 0.946730i \(0.395635\pi\)
\(600\) 19.3394 + 0.305024i 0.789526 + 0.0124526i
\(601\) 12.7044 6.73544i 0.518223 0.274744i −0.188700 0.982035i \(-0.560427\pi\)
0.706923 + 0.707290i \(0.250083\pi\)
\(602\) −1.01847 0.0552199i −0.0415097 0.00225059i
\(603\) 19.9410 + 35.6405i 0.812062 + 1.45139i
\(604\) 0.960434 + 2.07594i 0.0390795 + 0.0844690i
\(605\) −11.9094 + 19.7936i −0.484185 + 0.804722i
\(606\) 7.41300 6.80341i 0.301133 0.276369i
\(607\) 5.98848 36.5281i 0.243065 1.48263i −0.529834 0.848101i \(-0.677746\pi\)
0.772899 0.634529i \(-0.218806\pi\)
\(608\) 16.8949 12.8432i 0.685180 0.520860i
\(609\) 6.26022 + 10.7860i 0.253677 + 0.437072i
\(610\) 14.3866 + 21.2186i 0.582496 + 0.859118i
\(611\) 3.23150 6.98478i 0.130733 0.282574i
\(612\) −1.39873 18.1794i −0.0565402 0.734859i
\(613\) 20.9559 27.5670i 0.846399 1.11342i −0.145868 0.989304i \(-0.546598\pi\)
0.992268 0.124115i \(-0.0396093\pi\)
\(614\) −9.54451 + 2.10090i −0.385185 + 0.0847856i
\(615\) 24.7356 + 5.85517i 0.997434 + 0.236103i
\(616\) 10.6894 + 1.16254i 0.430689 + 0.0468402i
\(617\) 1.96436 8.92419i 0.0790823 0.359274i −0.920416 0.390940i \(-0.872150\pi\)
0.999499 + 0.0316654i \(0.0100811\pi\)
\(618\) −6.82952 + 2.59709i −0.274724 + 0.104470i
\(619\) 5.50676 19.8335i 0.221335 0.797177i −0.766576 0.642154i \(-0.778041\pi\)
0.987911 0.155023i \(-0.0495453\pi\)
\(620\) −5.63077 + 20.2802i −0.226137 + 0.814472i
\(621\) 5.66965 17.2159i 0.227515 0.690851i
\(622\) 1.31058 5.95404i 0.0525496 0.238735i
\(623\) 30.0433 + 3.26741i 1.20366 + 0.130906i
\(624\) −1.24680 + 5.26721i −0.0499121 + 0.210857i
\(625\) −28.8576 + 6.35203i −1.15430 + 0.254081i
\(626\) −10.7888 + 14.1925i −0.431209 + 0.567245i
\(627\) −11.2695 + 4.99959i −0.450059 + 0.199664i
\(628\) 5.15416 11.1405i 0.205673 0.444556i
\(629\) −4.23148 6.24096i −0.168720 0.248843i
\(630\) −3.16123 16.8812i −0.125947 0.672562i
\(631\) −19.8291 + 15.0737i −0.789384 + 0.600074i −0.920252 0.391326i \(-0.872017\pi\)
0.130869 + 0.991400i \(0.458223\pi\)
\(632\) −2.88067 + 17.5713i −0.114587 + 0.698949i
\(633\) −18.2126 19.8445i −0.723885 0.788746i
\(634\) 14.2571 23.6955i 0.566222 0.941068i
\(635\) −6.82772 14.7579i −0.270950 0.585649i
\(636\) 17.1607 + 15.0487i 0.680466 + 0.596719i
\(637\) −15.8744 0.860685i −0.628967 0.0341016i
\(638\) −5.27224 + 2.79516i −0.208730 + 0.110662i
\(639\) −8.97741 + 24.1036i −0.355141 + 0.953524i
\(640\) 13.4382 5.35428i 0.531193 0.211646i
\(641\) −13.6017 + 14.3591i −0.537233 + 0.567150i −0.936939 0.349493i \(-0.886354\pi\)
0.399705 + 0.916644i \(0.369112\pi\)
\(642\) 21.9577 + 3.95633i 0.866601 + 0.156144i
\(643\) 25.3035 + 8.52573i 0.997871 + 0.336222i 0.770399 0.637563i \(-0.220057\pi\)
0.227472 + 0.973785i \(0.426954\pi\)
\(644\) 0.427577 + 7.88620i 0.0168489 + 0.310760i
\(645\) 2.66232 0.542148i 0.104829 0.0213471i
\(646\) 17.0175 + 11.5382i 0.669546 + 0.453963i
\(647\) 31.8052 8.83068i 1.25039 0.347170i 0.421629 0.906768i \(-0.361458\pi\)
0.828764 + 0.559598i \(0.189045\pi\)
\(648\) 5.44859 + 25.8491i 0.214041 + 1.01545i
\(649\) −9.17954 + 10.2672i −0.360329 + 0.403022i
\(650\) 20.2117i 0.792767i
\(651\) 22.5947 + 1.58277i 0.885557 + 0.0620337i
\(652\) 11.3794 16.7834i 0.445652 0.657287i
\(653\) −2.86529 4.76215i −0.112127 0.186357i 0.795712 0.605675i \(-0.207097\pi\)
−0.907839 + 0.419318i \(0.862269\pi\)
\(654\) 28.6867 + 8.45428i 1.12174 + 0.330589i
\(655\) −6.78041 + 20.1235i −0.264933 + 0.786292i
\(656\) −2.71127 + 0.444490i −0.105857 + 0.0173544i
\(657\) −26.3250 + 3.46721i −1.02703 + 0.135269i
\(658\) −0.976951 2.45196i −0.0380855 0.0955875i
\(659\) −3.98662 + 1.34325i −0.155297 + 0.0523255i −0.395876 0.918304i \(-0.629559\pi\)
0.240580 + 0.970629i \(0.422662\pi\)
\(660\) −10.1023 + 1.49300i −0.393233 + 0.0581148i
\(661\) 0.325077 5.99570i 0.0126440 0.233206i −0.985380 0.170371i \(-0.945503\pi\)
0.998024 0.0628342i \(-0.0200139\pi\)
\(662\) −3.01407 + 7.56475i −0.117145 + 0.294012i
\(663\) 53.2102 4.93925i 2.06651 0.191825i
\(664\) 23.2211 + 13.9716i 0.901152 + 0.542205i
\(665\) −21.2626 11.2727i −0.824530 0.437138i
\(666\) 2.58814 + 2.91089i 0.100288 + 0.112795i
\(667\) −7.43964 9.78668i −0.288064 0.378942i
\(668\) −7.64958 6.49761i −0.295971 0.251400i
\(669\) −4.96884 19.0571i −0.192106 0.736789i
\(670\) −34.6202 16.0170i −1.33750 0.618792i
\(671\) −11.2810 11.9092i −0.435498 0.459750i
\(672\) −10.3679 15.8232i −0.399952 0.610392i
\(673\) −0.790842 3.59283i −0.0304847 0.138493i 0.958920 0.283676i \(-0.0915541\pi\)
−0.989405 + 0.145183i \(0.953623\pi\)
\(674\) −0.958578 8.81398i −0.0369231 0.339502i
\(675\) 8.42335 + 17.8841i 0.324215 + 0.688361i
\(676\) 20.1829 + 4.44259i 0.776265 + 0.170869i
\(677\) 13.9815 11.8760i 0.537354 0.456433i −0.337150 0.941451i \(-0.609463\pi\)
0.874504 + 0.485018i \(0.161187\pi\)
\(678\) 17.9496 25.5952i 0.689351 0.982978i
\(679\) −1.61492 0.448379i −0.0619748 0.0172072i
\(680\) 30.9229 + 36.4052i 1.18584 + 1.39608i
\(681\) −4.94262 3.08107i −0.189402 0.118067i
\(682\) −1.17179 + 10.7744i −0.0448701 + 0.412573i
\(683\) −18.9599 + 2.06201i −0.725480 + 0.0789007i −0.463405 0.886147i \(-0.653372\pi\)
−0.262075 + 0.965047i \(0.584407\pi\)
\(684\) 11.7976 + 5.91674i 0.451091 + 0.226232i
\(685\) −52.8705 40.1911i −2.02008 1.53562i
\(686\) −13.7633 + 13.0373i −0.525484 + 0.497765i
\(687\) 13.3557 13.6614i 0.509553 0.521213i
\(688\) −0.243064 + 0.164802i −0.00926674 + 0.00628301i
\(689\) −43.3072 + 50.9851i −1.64987 + 1.94238i
\(690\) 5.15204 + 16.1269i 0.196135 + 0.613940i
\(691\) −18.5800 3.04603i −0.706816 0.115877i −0.202357 0.979312i \(-0.564860\pi\)
−0.504460 + 0.863435i \(0.668308\pi\)
\(692\) −1.41786 + 2.67437i −0.0538990 + 0.101664i
\(693\) 3.74372 + 10.3324i 0.142212 + 0.392494i
\(694\) −2.34831 + 1.08644i −0.0891405 + 0.0412408i
\(695\) 55.0495 + 21.9337i 2.08815 + 0.831993i
\(696\) 16.5379 + 6.89347i 0.626868 + 0.261296i
\(697\) 12.7056 + 23.9653i 0.481259 + 0.907751i
\(698\) 2.38277 + 7.07181i 0.0901892 + 0.267672i
\(699\) −0.385679 10.0402i −0.0145877 0.379756i
\(700\) −6.25352 5.92365i −0.236361 0.223893i
\(701\) −3.10596 18.9455i −0.117311 0.715563i −0.978339 0.207007i \(-0.933628\pi\)
0.861029 0.508556i \(-0.169821\pi\)
\(702\) −26.9185 + 6.11892i −1.01597 + 0.230944i
\(703\) 5.45001 0.295491i 0.205551 0.0111447i
\(704\) 9.46303 5.69372i 0.356651 0.214590i
\(705\) 4.16608 + 5.66360i 0.156904 + 0.213303i
\(706\) −6.54936 23.5887i −0.246489 0.887772i
\(707\) −12.5678 −0.472661
\(708\) 14.7311 + 0.606492i 0.553630 + 0.0227934i
\(709\) −10.6154 −0.398670 −0.199335 0.979931i \(-0.563878\pi\)
−0.199335 + 0.979931i \(0.563878\pi\)
\(710\) −6.42723 23.1488i −0.241210 0.868759i
\(711\) −17.4208 + 5.26411i −0.653330 + 0.197420i
\(712\) 37.2025 22.3840i 1.39422 0.838877i
\(713\) −22.2945 + 1.20878i −0.834937 + 0.0452690i
\(714\) 11.3199 14.4135i 0.423636 0.539411i
\(715\) −4.84218 29.5360i −0.181087 1.10458i
\(716\) 10.0788 + 9.54719i 0.376664 + 0.356795i
\(717\) 25.4408 0.977269i 0.950105 0.0364968i
\(718\) −8.71770 25.8732i −0.325342 0.965580i
\(719\) −19.1806 36.1785i −0.715317 1.34923i −0.928174 0.372148i \(-0.878622\pi\)
0.212857 0.977083i \(-0.431723\pi\)
\(720\) −3.66597 3.31851i −0.136623 0.123674i
\(721\) 8.47831 + 3.37807i 0.315749 + 0.125806i
\(722\) 2.77723 1.28489i 0.103358 0.0478185i
\(723\) −18.7555 22.7998i −0.697523 0.847934i
\(724\) −7.31485 + 13.7973i −0.271854 + 0.512771i
\(725\) 13.2312 + 2.16914i 0.491393 + 0.0805598i
\(726\) 12.1299 3.87512i 0.450182 0.143819i
\(727\) 8.86567 10.4375i 0.328809 0.387104i −0.572771 0.819715i \(-0.694132\pi\)
0.901581 + 0.432611i \(0.142408\pi\)
\(728\) 27.9232 18.9324i 1.03490 0.701683i
\(729\) −21.2686 + 16.6328i −0.787724 + 0.616028i
\(730\) 18.0053 17.0555i 0.666406 0.631253i
\(731\) 2.30811 + 1.75458i 0.0853687 + 0.0648956i
\(732\) −2.17373 + 17.4257i −0.0803433 + 0.644072i
\(733\) 33.9174 3.68874i 1.25277 0.136247i 0.542425 0.840104i \(-0.317506\pi\)
0.710341 + 0.703857i \(0.248541\pi\)
\(734\) −1.58351 + 14.5601i −0.0584483 + 0.537423i
\(735\) 7.68297 12.3249i 0.283391 0.454612i
\(736\) 12.0723 + 14.2126i 0.444991 + 0.523884i
\(737\) 23.5191 + 6.53004i 0.866336 + 0.240537i
\(738\) −8.12376 11.4168i −0.299040 0.420259i
\(739\) −7.29808 + 6.19904i −0.268464 + 0.228035i −0.771499 0.636231i \(-0.780493\pi\)
0.503035 + 0.864266i \(0.332217\pi\)
\(740\) 4.41526 + 0.971873i 0.162308 + 0.0357268i
\(741\) −16.7938 + 34.8463i −0.616935 + 1.28011i
\(742\) 2.48049 + 22.8077i 0.0910616 + 0.837298i
\(743\) 8.46954 + 38.4775i 0.310717 + 1.41160i 0.830364 + 0.557221i \(0.188133\pi\)
−0.519647 + 0.854381i \(0.673936\pi\)
\(744\) 27.2186 17.8346i 0.997881 0.653849i
\(745\) 16.7212 + 17.6523i 0.612616 + 0.646730i
\(746\) 8.91023 + 4.12231i 0.326227 + 0.150929i
\(747\) −2.37103 + 27.5965i −0.0867514 + 1.00970i
\(748\) −8.30560 7.05484i −0.303683 0.257951i
\(749\) −16.8652 22.1857i −0.616240 0.810650i
\(750\) 5.08303 + 2.79843i 0.185606 + 0.102184i
\(751\) 17.4981 + 9.27692i 0.638516 + 0.338520i 0.756016 0.654553i \(-0.227143\pi\)
−0.117500 + 0.993073i \(0.537488\pi\)
\(752\) −0.651157 0.391788i −0.0237453 0.0142871i
\(753\) 0.989669 + 10.6616i 0.0360655 + 0.388532i
\(754\) −6.93007 + 17.3932i −0.252378 + 0.633422i
\(755\) 0.331571 6.11546i 0.0120671 0.222564i
\(756\) 5.99610 10.1220i 0.218076 0.368133i
\(757\) −1.79018 + 0.603181i −0.0650652 + 0.0219230i −0.351646 0.936133i \(-0.614378\pi\)
0.286581 + 0.958056i \(0.407481\pi\)
\(758\) −11.2528 28.2424i −0.408720 1.02581i
\(759\) −4.92273 9.64998i −0.178684 0.350272i
\(760\) −34.1199 + 5.59367i −1.23766 + 0.202904i
\(761\) 4.42579 13.1353i 0.160435 0.476153i −0.837043 0.547138i \(-0.815717\pi\)
0.997477 + 0.0709842i \(0.0226140\pi\)
\(762\) −2.53394 + 8.59803i −0.0917949 + 0.311474i
\(763\) −19.2586 32.0081i −0.697209 1.15877i
\(764\) 2.50968 3.70150i 0.0907970 0.133916i
\(765\) −19.4913 + 44.7599i −0.704709 + 1.61830i
\(766\) 3.53744i 0.127813i
\(767\) −1.09645 + 43.1978i −0.0395905 + 1.55978i
\(768\) −27.6255 9.79588i −0.996848 0.353478i
\(769\) −28.9229 + 8.03040i −1.04299 + 0.289584i −0.746452 0.665439i \(-0.768244\pi\)
−0.296533 + 0.955023i \(0.595831\pi\)
\(770\) −8.49605 5.76046i −0.306176 0.207593i
\(771\) −4.70262 23.0931i −0.169361 0.831677i
\(772\) 0.573748 + 10.5822i 0.0206496 + 0.380860i
\(773\) 11.3240