Properties

Label 384.2.v.a.229.9
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.9
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.788656 - 1.17389i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-0.756043 + 1.85159i) q^{4} +(-0.453393 - 0.552461i) q^{5} +(1.24890 + 0.663510i) q^{6} +(-1.44548 + 0.965841i) q^{7} +(2.76983 - 0.572759i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-0.788656 - 1.17389i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-0.756043 + 1.85159i) q^{4} +(-0.453393 - 0.552461i) q^{5} +(1.24890 + 0.663510i) q^{6} +(-1.44548 + 0.965841i) q^{7} +(2.76983 - 0.572759i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-0.290958 + 0.967935i) q^{10} +(2.30143 - 0.698132i) q^{11} +(-0.206065 - 1.98936i) q^{12} +(-1.74047 - 1.42836i) q^{13} +(2.27378 + 0.935124i) q^{14} +(0.660285 + 0.273499i) q^{15} +(-2.85680 - 2.79977i) q^{16} +(5.03347 - 2.08493i) q^{17} +(-1.41421 + 0.00356449i) q^{18} +(-0.389496 - 3.95462i) q^{19} +(1.36572 - 0.421815i) q^{20} +(0.819508 - 1.53319i) q^{21} +(-2.63457 - 2.15105i) q^{22} +(-1.78138 + 0.354339i) q^{23} +(-2.17277 + 1.81082i) q^{24} +(0.875804 - 4.40296i) q^{25} +(-0.304115 + 3.16961i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(-0.695498 - 3.40667i) q^{28} +(2.69440 - 8.88225i) q^{29} +(-0.199680 - 0.990799i) q^{30} +(0.759258 + 0.759258i) q^{31} +(-1.03359 + 5.56163i) q^{32} +(-1.70059 + 1.70059i) q^{33} +(-6.41716 - 4.26445i) q^{34} +(1.18896 + 0.360667i) q^{35} +(1.11951 + 1.65732i) q^{36} +(0.701562 + 0.0690978i) q^{37} +(-4.33512 + 3.57606i) q^{38} +(2.20828 + 0.439254i) q^{39} +(-1.57225 - 1.27054i) q^{40} +(-1.73814 - 8.73822i) q^{41} +(-2.44611 + 0.247148i) q^{42} +(-3.05435 - 1.63259i) q^{43} +(-0.447325 + 4.78914i) q^{44} +(-0.711246 + 0.0700516i) q^{45} +(1.82085 + 1.81170i) q^{46} +(3.60433 + 8.70163i) q^{47} +(3.83927 + 1.12249i) q^{48} +(-1.52221 + 3.67494i) q^{49} +(-5.85931 + 2.44433i) q^{50} +(-3.45629 + 4.21150i) q^{51} +(3.96062 - 2.14273i) q^{52} +(-0.661557 - 2.18086i) q^{53} +(1.24554 - 0.669797i) q^{54} +(-1.42914 - 0.954923i) q^{55} +(-3.45055 + 3.50313i) q^{56} +(2.20770 + 3.30406i) q^{57} +(-12.5518 + 3.84211i) q^{58} +(7.60232 - 6.23907i) q^{59} +(-1.00561 + 1.01580i) q^{60} +(0.233796 + 0.437401i) q^{61} +(0.292493 - 1.49008i) q^{62} +1.73847i q^{63} +(7.34389 - 3.17289i) q^{64} +1.60915i q^{65} +(3.33748 + 0.655125i) q^{66} +(-1.98855 - 3.72031i) q^{67} +(0.0549278 + 10.8962i) q^{68} +(1.40400 - 1.15224i) q^{69} +(-0.514297 - 1.68015i) q^{70} +(2.72431 + 4.07722i) q^{71} +(1.06260 - 2.62124i) q^{72} +(0.964879 + 0.644711i) q^{73} +(-0.472178 - 0.878052i) q^{74} +(1.30315 + 4.29592i) q^{75} +(7.61683 + 2.26867i) q^{76} +(-2.65240 + 3.23196i) q^{77} +(-1.22594 - 2.93870i) q^{78} +(-0.799719 + 1.93069i) q^{79} +(-0.251510 + 2.84766i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-8.88693 + 8.93184i) q^{82} +(-4.07908 + 0.401754i) q^{83} +(2.21927 + 2.67656i) q^{84} +(-3.43398 - 1.83550i) q^{85} +(0.492356 + 4.87303i) q^{86} +(1.81081 + 9.10358i) q^{87} +(5.97471 - 3.25187i) q^{88} +(10.4965 + 2.08788i) q^{89} +(0.643161 + 0.779679i) q^{90} +(3.89539 + 0.383662i) q^{91} +(0.690709 - 3.56629i) q^{92} +(-1.02752 - 0.311694i) q^{93} +(7.37219 - 11.0937i) q^{94} +(-2.00818 + 2.00818i) q^{95} +(-1.71019 - 5.39215i) q^{96} +(13.4124 + 13.4124i) q^{97} +(5.51448 - 1.11136i) q^{98} +(0.698132 - 2.30143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.788656 1.17389i −0.557664 0.830067i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) −0.756043 + 1.85159i −0.378021 + 0.925797i
\(5\) −0.453393 0.552461i −0.202763 0.247068i 0.661694 0.749774i \(-0.269838\pi\)
−0.864457 + 0.502706i \(0.832338\pi\)
\(6\) 1.24890 + 0.663510i 0.509862 + 0.270877i
\(7\) −1.44548 + 0.965841i −0.546342 + 0.365054i −0.797901 0.602788i \(-0.794056\pi\)
0.251560 + 0.967842i \(0.419056\pi\)
\(8\) 2.76983 0.572759i 0.979282 0.202501i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −0.290958 + 0.967935i −0.0920089 + 0.306088i
\(11\) 2.30143 0.698132i 0.693908 0.210495i 0.0764208 0.997076i \(-0.475651\pi\)
0.617487 + 0.786581i \(0.288151\pi\)
\(12\) −0.206065 1.98936i −0.0594859 0.574278i
\(13\) −1.74047 1.42836i −0.482719 0.396157i 0.361318 0.932443i \(-0.382327\pi\)
−0.844036 + 0.536286i \(0.819827\pi\)
\(14\) 2.27378 + 0.935124i 0.607694 + 0.249923i
\(15\) 0.660285 + 0.273499i 0.170485 + 0.0706171i
\(16\) −2.85680 2.79977i −0.714200 0.699942i
\(17\) 5.03347 2.08493i 1.22080 0.505670i 0.323133 0.946354i \(-0.395264\pi\)
0.897662 + 0.440684i \(0.145264\pi\)
\(18\) −1.41421 + 0.00356449i −0.333332 + 0.000840158i
\(19\) −0.389496 3.95462i −0.0893566 0.907252i −0.930464 0.366384i \(-0.880596\pi\)
0.841107 0.540868i \(-0.181904\pi\)
\(20\) 1.36572 0.421815i 0.305384 0.0943208i
\(21\) 0.819508 1.53319i 0.178831 0.334570i
\(22\) −2.63457 2.15105i −0.561692 0.458605i
\(23\) −1.78138 + 0.354339i −0.371444 + 0.0738847i −0.377283 0.926098i \(-0.623141\pi\)
0.00583886 + 0.999983i \(0.498141\pi\)
\(24\) −2.17277 + 1.81082i −0.443516 + 0.369631i
\(25\) 0.875804 4.40296i 0.175161 0.880593i
\(26\) −0.304115 + 3.16961i −0.0596418 + 0.621611i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) −0.695498 3.40667i −0.131437 0.643799i
\(29\) 2.69440 8.88225i 0.500338 1.64939i −0.235228 0.971940i \(-0.575584\pi\)
0.735566 0.677453i \(-0.236916\pi\)
\(30\) −0.199680 0.990799i −0.0364563 0.180894i
\(31\) 0.759258 + 0.759258i 0.136367 + 0.136367i 0.771995 0.635628i \(-0.219259\pi\)
−0.635628 + 0.771995i \(0.719259\pi\)
\(32\) −1.03359 + 5.56163i −0.182715 + 0.983166i
\(33\) −1.70059 + 1.70059i −0.296034 + 0.296034i
\(34\) −6.41716 4.26445i −1.10053 0.731347i
\(35\) 1.18896 + 0.360667i 0.200971 + 0.0609639i
\(36\) 1.11951 + 1.65732i 0.186585 + 0.276219i
\(37\) 0.701562 + 0.0690978i 0.115336 + 0.0113596i 0.155520 0.987833i \(-0.450295\pi\)
−0.0401844 + 0.999192i \(0.512795\pi\)
\(38\) −4.33512 + 3.57606i −0.703249 + 0.580114i
\(39\) 2.20828 + 0.439254i 0.353608 + 0.0703370i
\(40\) −1.57225 1.27054i −0.248594 0.200889i
\(41\) −1.73814 8.73822i −0.271452 1.36468i −0.840248 0.542203i \(-0.817591\pi\)
0.568796 0.822479i \(-0.307409\pi\)
\(42\) −2.44611 + 0.247148i −0.377443 + 0.0381357i
\(43\) −3.05435 1.63259i −0.465785 0.248967i 0.221771 0.975099i \(-0.428816\pi\)
−0.687556 + 0.726132i \(0.741316\pi\)
\(44\) −0.447325 + 4.78914i −0.0674367 + 0.721989i
\(45\) −0.711246 + 0.0700516i −0.106026 + 0.0104427i
\(46\) 1.82085 + 1.81170i 0.268470 + 0.267120i
\(47\) 3.60433 + 8.70163i 0.525746 + 1.26926i 0.934287 + 0.356523i \(0.116038\pi\)
−0.408541 + 0.912740i \(0.633962\pi\)
\(48\) 3.83927 + 1.12249i 0.554151 + 0.162017i
\(49\) −1.52221 + 3.67494i −0.217459 + 0.524991i
\(50\) −5.85931 + 2.44433i −0.828631 + 0.345680i
\(51\) −3.45629 + 4.21150i −0.483978 + 0.589729i
\(52\) 3.96062 2.14273i 0.549239 0.297144i
\(53\) −0.661557 2.18086i −0.0908719 0.299564i 0.899710 0.436489i \(-0.143778\pi\)
−0.990581 + 0.136925i \(0.956278\pi\)
\(54\) 1.24554 0.669797i 0.169497 0.0911478i
\(55\) −1.42914 0.954923i −0.192706 0.128762i
\(56\) −3.45055 + 3.50313i −0.461099 + 0.468125i
\(57\) 2.20770 + 3.30406i 0.292417 + 0.437633i
\(58\) −12.5518 + 3.84211i −1.64813 + 0.504494i
\(59\) 7.60232 6.23907i 0.989738 0.812257i 0.00751452 0.999972i \(-0.497608\pi\)
0.982224 + 0.187715i \(0.0601080\pi\)
\(60\) −1.00561 + 1.01580i −0.129824 + 0.131140i
\(61\) 0.233796 + 0.437401i 0.0299345 + 0.0560034i 0.896444 0.443157i \(-0.146142\pi\)
−0.866509 + 0.499161i \(0.833642\pi\)
\(62\) 0.292493 1.49008i 0.0371467 0.189240i
\(63\) 1.73847i 0.219026i
\(64\) 7.34389 3.17289i 0.917987 0.396611i
\(65\) 1.60915i 0.199590i
\(66\) 3.33748 + 0.655125i 0.410815 + 0.0806404i
\(67\) −1.98855 3.72031i −0.242939 0.454508i 0.730669 0.682732i \(-0.239208\pi\)
−0.973609 + 0.228224i \(0.926708\pi\)
\(68\) 0.0549278 + 10.8962i 0.00666098 + 1.32136i
\(69\) 1.40400 1.15224i 0.169022 0.138713i
\(70\) −0.514297 1.68015i −0.0614703 0.200817i
\(71\) 2.72431 + 4.07722i 0.323317 + 0.483877i 0.957150 0.289592i \(-0.0935196\pi\)
−0.633834 + 0.773469i \(0.718520\pi\)
\(72\) 1.06260 2.62124i 0.125229 0.308916i
\(73\) 0.964879 + 0.644711i 0.112931 + 0.0754578i 0.610753 0.791821i \(-0.290867\pi\)
−0.497822 + 0.867279i \(0.665867\pi\)
\(74\) −0.472178 0.878052i −0.0548895 0.102071i
\(75\) 1.30315 + 4.29592i 0.150475 + 0.496050i
\(76\) 7.61683 + 2.26867i 0.873710 + 0.260235i
\(77\) −2.65240 + 3.23196i −0.302269 + 0.368316i
\(78\) −1.22594 2.93870i −0.138810 0.332743i
\(79\) −0.799719 + 1.93069i −0.0899754 + 0.217220i −0.962461 0.271420i \(-0.912507\pi\)
0.872486 + 0.488640i \(0.162507\pi\)
\(80\) −0.251510 + 2.84766i −0.0281196 + 0.318378i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −8.88693 + 8.93184i −0.981398 + 0.986357i
\(83\) −4.07908 + 0.401754i −0.447737 + 0.0440982i −0.319373 0.947629i \(-0.603472\pi\)
−0.128363 + 0.991727i \(0.540972\pi\)
\(84\) 2.21927 + 2.67656i 0.242142 + 0.292036i
\(85\) −3.43398 1.83550i −0.372467 0.199088i
\(86\) 0.492356 + 4.87303i 0.0530921 + 0.525472i
\(87\) 1.81081 + 9.10358i 0.194140 + 0.976006i
\(88\) 5.97471 3.25187i 0.636906 0.346651i
\(89\) 10.4965 + 2.08788i 1.11263 + 0.221315i 0.716984 0.697090i \(-0.245522\pi\)
0.395642 + 0.918405i \(0.370522\pi\)
\(90\) 0.643161 + 0.779679i 0.0677952 + 0.0821853i
\(91\) 3.89539 + 0.383662i 0.408348 + 0.0402187i
\(92\) 0.690709 3.56629i 0.0720114 0.371811i
\(93\) −1.02752 0.311694i −0.106549 0.0323212i
\(94\) 7.37219 11.0937i 0.760383 1.14423i
\(95\) −2.00818 + 2.00818i −0.206035 + 0.206035i
\(96\) −1.71019 5.39215i −0.174545 0.550334i
\(97\) 13.4124 + 13.4124i 1.36182 + 1.36182i 0.871593 + 0.490230i \(0.163087\pi\)
0.490230 + 0.871593i \(0.336913\pi\)
\(98\) 5.51448 1.11136i 0.557047 0.112264i
\(99\) 0.698132 2.30143i 0.0701649 0.231303i
\(100\) 7.49035 + 4.95046i 0.749035 + 0.495046i
\(101\) 0.705266 7.16068i 0.0701766 0.712515i −0.894144 0.447779i \(-0.852215\pi\)
0.964321 0.264736i \(-0.0852848\pi\)
\(102\) 7.66968 + 0.735883i 0.759411 + 0.0728633i
\(103\) −1.77920 + 8.94463i −0.175310 + 0.881341i 0.788558 + 0.614960i \(0.210828\pi\)
−0.963868 + 0.266381i \(0.914172\pi\)
\(104\) −5.63890 2.95945i −0.552940 0.290198i
\(105\) −1.21859 + 0.242392i −0.118922 + 0.0236550i
\(106\) −2.03835 + 2.49655i −0.197982 + 0.242486i
\(107\) 1.48148 2.77165i 0.143220 0.267946i −0.800076 0.599899i \(-0.795208\pi\)
0.943296 + 0.331953i \(0.107708\pi\)
\(108\) −1.76857 0.933890i −0.170181 0.0898636i
\(109\) −1.27775 12.9732i −0.122386 1.24261i −0.838607 0.544737i \(-0.816630\pi\)
0.716221 0.697874i \(-0.245870\pi\)
\(110\) 0.00612670 + 2.43076i 0.000584158 + 0.231764i
\(111\) −0.651295 + 0.269775i −0.0618181 + 0.0256059i
\(112\) 6.83359 + 1.28780i 0.645713 + 0.121686i
\(113\) −9.71429 4.02379i −0.913844 0.378526i −0.124317 0.992243i \(-0.539674\pi\)
−0.789527 + 0.613716i \(0.789674\pi\)
\(114\) 2.13749 5.19737i 0.200194 0.486778i
\(115\) 1.00342 + 0.823488i 0.0935697 + 0.0767907i
\(116\) 14.4092 + 11.7043i 1.33786 + 1.08672i
\(117\) −2.15459 + 0.653588i −0.199192 + 0.0604243i
\(118\) −13.3196 4.00382i −1.22617 0.368582i
\(119\) −5.26208 + 7.87526i −0.482374 + 0.721924i
\(120\) 1.98552 + 0.379361i 0.181253 + 0.0346308i
\(121\) −4.33696 + 2.89787i −0.394269 + 0.263442i
\(122\) 0.329077 0.619409i 0.0297932 0.0560787i
\(123\) 5.65207 + 6.88707i 0.509630 + 0.620986i
\(124\) −1.97987 + 0.831806i −0.177797 + 0.0746984i
\(125\) −5.98104 + 3.19693i −0.534960 + 0.285942i
\(126\) 2.04077 1.37105i 0.181807 0.122143i
\(127\) 6.75243 0.599181 0.299590 0.954068i \(-0.403150\pi\)
0.299590 + 0.954068i \(0.403150\pi\)
\(128\) −9.51643 6.11862i −0.841142 0.540815i
\(129\) 3.46330 0.304926
\(130\) 1.88897 1.26907i 0.165673 0.111304i
\(131\) 6.81974 3.64523i 0.595843 0.318485i −0.145764 0.989319i \(-0.546564\pi\)
0.741607 + 0.670834i \(0.234064\pi\)
\(132\) −1.86308 4.43451i −0.162160 0.385974i
\(133\) 4.38255 + 5.34015i 0.380015 + 0.463050i
\(134\) −2.79896 + 5.26838i −0.241793 + 0.455119i
\(135\) 0.594241 0.397059i 0.0511441 0.0341734i
\(136\) 12.7477 8.65786i 1.09310 0.742406i
\(137\) 6.16824 9.23143i 0.526989 0.788694i −0.468511 0.883458i \(-0.655209\pi\)
0.995500 + 0.0947634i \(0.0302095\pi\)
\(138\) −2.45988 0.739430i −0.209399 0.0629445i
\(139\) −11.3790 + 3.45179i −0.965156 + 0.292777i −0.733248 0.679961i \(-0.761997\pi\)
−0.231907 + 0.972738i \(0.574497\pi\)
\(140\) −1.56671 + 1.92879i −0.132412 + 0.163013i
\(141\) −7.28066 5.97508i −0.613142 0.503192i
\(142\) 2.63767 6.41358i 0.221348 0.538215i
\(143\) −5.00275 2.07221i −0.418351 0.173287i
\(144\) −3.91507 + 0.819874i −0.326256 + 0.0683228i
\(145\) −6.12872 + 2.53860i −0.508962 + 0.210819i
\(146\) −0.00413641 1.64112i −0.000342332 0.135820i
\(147\) −0.389885 3.95857i −0.0321572 0.326498i
\(148\) −0.658352 + 1.24677i −0.0541162 + 0.102484i
\(149\) −6.76707 + 12.6603i −0.554380 + 1.03717i 0.436149 + 0.899874i \(0.356342\pi\)
−0.990530 + 0.137298i \(0.956158\pi\)
\(150\) 4.01520 4.91776i 0.327840 0.401534i
\(151\) −14.2835 + 2.84116i −1.16237 + 0.231210i −0.738335 0.674434i \(-0.764388\pi\)
−0.424038 + 0.905645i \(0.639388\pi\)
\(152\) −3.34388 10.7305i −0.271225 0.870361i
\(153\) 1.06289 5.34350i 0.0859294 0.431996i
\(154\) 5.88580 + 0.564725i 0.474291 + 0.0455069i
\(155\) 0.0752181 0.763702i 0.00604166 0.0613420i
\(156\) −2.48287 + 3.75674i −0.198789 + 0.300780i
\(157\) −3.76094 + 12.3982i −0.300156 + 0.989481i 0.669048 + 0.743220i \(0.266702\pi\)
−0.969203 + 0.246262i \(0.920798\pi\)
\(158\) 2.89713 0.583869i 0.230483 0.0464501i
\(159\) 1.61149 + 1.61149i 0.127800 + 0.127800i
\(160\) 3.54120 1.95058i 0.279957 0.154207i
\(161\) 2.23272 2.23272i 0.175963 0.175963i
\(162\) −0.782729 + 1.17785i −0.0614970 + 0.0925408i
\(163\) −17.2415 5.23014i −1.35045 0.409656i −0.469532 0.882916i \(-0.655577\pi\)
−0.880923 + 0.473260i \(0.843077\pi\)
\(164\) 17.4938 + 3.38814i 1.36603 + 0.264569i
\(165\) 1.71054 + 0.168473i 0.133165 + 0.0131156i
\(166\) 3.68860 + 4.47155i 0.286291 + 0.347059i
\(167\) −21.8269 4.34165i −1.68902 0.335967i −0.745303 0.666726i \(-0.767695\pi\)
−0.943715 + 0.330759i \(0.892695\pi\)
\(168\) 1.39175 4.71606i 0.107376 0.363852i
\(169\) −1.54717 7.77817i −0.119013 0.598321i
\(170\) 0.553551 + 5.47870i 0.0424554 + 0.420197i
\(171\) −3.50454 1.87322i −0.267999 0.143248i
\(172\) 5.33211 4.42112i 0.406569 0.337107i
\(173\) −21.2779 + 2.09569i −1.61773 + 0.159332i −0.865966 0.500102i \(-0.833296\pi\)
−0.751762 + 0.659435i \(0.770796\pi\)
\(174\) 9.25851 9.30530i 0.701886 0.705433i
\(175\) 2.98660 + 7.21030i 0.225766 + 0.545047i
\(176\) −8.52934 4.44905i −0.642923 0.335360i
\(177\) −3.76358 + 9.08607i −0.282888 + 0.682951i
\(178\) −5.82717 13.9684i −0.436765 1.04697i
\(179\) 0.928743 1.13168i 0.0694175 0.0845855i −0.737144 0.675736i \(-0.763826\pi\)
0.806561 + 0.591150i \(0.201326\pi\)
\(180\) 0.408025 1.36990i 0.0304124 0.102106i
\(181\) 2.02384 + 6.67171i 0.150431 + 0.495904i 0.999474 0.0324188i \(-0.0103210\pi\)
−0.849043 + 0.528323i \(0.822821\pi\)
\(182\) −2.62174 4.87534i −0.194337 0.361384i
\(183\) −0.412379 0.275543i −0.0304839 0.0203687i
\(184\) −4.73117 + 2.00176i −0.348786 + 0.147572i
\(185\) −0.279909 0.418914i −0.0205793 0.0307991i
\(186\) 0.444463 + 1.45201i 0.0325896 + 0.106467i
\(187\) 10.1286 8.31235i 0.740679 0.607859i
\(188\) −18.8369 + 0.0949567i −1.37382 + 0.00692543i
\(189\) −0.819508 1.53319i −0.0596105 0.111523i
\(190\) 3.94115 + 0.773621i 0.285921 + 0.0561244i
\(191\) 18.5815i 1.34451i −0.740319 0.672255i \(-0.765326\pi\)
0.740319 0.672255i \(-0.234674\pi\)
\(192\) −4.98105 + 6.26012i −0.359476 + 0.451786i
\(193\) 25.1958i 1.81364i 0.421522 + 0.906818i \(0.361496\pi\)
−0.421522 + 0.906818i \(0.638504\pi\)
\(194\) 5.16693 26.3225i 0.370964 1.88984i
\(195\) −0.758548 1.41914i −0.0543207 0.101627i
\(196\) −5.65364 5.59693i −0.403831 0.399780i
\(197\) 10.9518 8.98789i 0.780281 0.640360i −0.157527 0.987515i \(-0.550352\pi\)
0.937808 + 0.347154i \(0.112852\pi\)
\(198\) −3.25222 + 0.995508i −0.231125 + 0.0707477i
\(199\) −4.98796 7.46500i −0.353587 0.529180i 0.611454 0.791280i \(-0.290585\pi\)
−0.965041 + 0.262100i \(0.915585\pi\)
\(200\) −0.0960098 12.6971i −0.00678892 0.897819i
\(201\) 3.50748 + 2.34362i 0.247399 + 0.165306i
\(202\) −8.96208 + 4.81941i −0.630570 + 0.339093i
\(203\) 4.68413 + 15.4415i 0.328762 + 1.08378i
\(204\) −5.18489 9.58373i −0.363015 0.670995i
\(205\) −4.03946 + 4.92210i −0.282128 + 0.343774i
\(206\) 11.9032 4.96565i 0.829336 0.345974i
\(207\) −0.695060 + 1.67802i −0.0483100 + 0.116631i
\(208\) 0.973075 + 8.95345i 0.0674706 + 0.620810i
\(209\) −3.65725 8.82938i −0.252977 0.610741i
\(210\) 1.24559 + 1.23933i 0.0859538 + 0.0855216i
\(211\) 18.3471 1.80703i 1.26307 0.124401i 0.555780 0.831329i \(-0.312420\pi\)
0.707285 + 0.706928i \(0.249920\pi\)
\(212\) 4.53824 + 0.423890i 0.311687 + 0.0291129i
\(213\) −4.32462 2.31156i −0.296318 0.158385i
\(214\) −4.42199 + 0.446785i −0.302281 + 0.0305416i
\(215\) 0.482882 + 2.42761i 0.0329323 + 0.165562i
\(216\) 0.298510 + 2.81263i 0.0203110 + 0.191375i
\(217\) −1.83082 0.364172i −0.124284 0.0247216i
\(218\) −14.2215 + 11.7314i −0.963199 + 0.794548i
\(219\) −1.15486 0.113744i −0.0780383 0.00768610i
\(220\) 2.84862 1.92423i 0.192054 0.129732i
\(221\) −11.7386 3.56087i −0.789625 0.239530i
\(222\) 0.830334 + 0.551789i 0.0557284 + 0.0370337i
\(223\) 18.3209 18.3209i 1.22686 1.22686i 0.261713 0.965146i \(-0.415713\pi\)
0.965146 0.261713i \(-0.0842875\pi\)
\(224\) −3.87761 9.03753i −0.259084 0.603845i
\(225\) −3.17436 3.17436i −0.211624 0.211624i
\(226\) 2.93774 + 14.5769i 0.195416 + 0.969642i
\(227\) 4.29031 14.1433i 0.284758 0.938721i −0.691549 0.722330i \(-0.743071\pi\)
0.976307 0.216392i \(-0.0694288\pi\)
\(228\) −7.78689 + 1.58976i −0.515699 + 0.105284i
\(229\) 0.895877 9.09600i 0.0592012 0.601080i −0.919119 0.393981i \(-0.871098\pi\)
0.978320 0.207099i \(-0.0664024\pi\)
\(230\) 0.175330 1.82736i 0.0115609 0.120493i
\(231\) 0.815673 4.10066i 0.0536673 0.269804i
\(232\) 2.37564 26.1456i 0.155969 1.71654i
\(233\) 13.1511 2.61592i 0.861560 0.171375i 0.255515 0.966805i \(-0.417755\pi\)
0.606045 + 0.795430i \(0.292755\pi\)
\(234\) 2.46647 + 2.01380i 0.161239 + 0.131646i
\(235\) 3.17313 5.93651i 0.206992 0.387255i
\(236\) 5.80453 + 18.7934i 0.377843 + 1.22335i
\(237\) −0.204833 2.07970i −0.0133053 0.135091i
\(238\) 13.3947 0.0337610i 0.868248 0.00218840i
\(239\) −6.92374 + 2.86791i −0.447859 + 0.185509i −0.595202 0.803576i \(-0.702928\pi\)
0.147343 + 0.989086i \(0.452928\pi\)
\(240\) −1.12057 2.62998i −0.0723323 0.169764i
\(241\) 25.7887 + 10.6820i 1.66120 + 0.688090i 0.998168 0.0605038i \(-0.0192707\pi\)
0.663029 + 0.748594i \(0.269271\pi\)
\(242\) 6.82215 + 2.80570i 0.438545 + 0.180357i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −0.986648 + 0.102201i −0.0631637 + 0.00654273i
\(245\) 2.72042 0.825230i 0.173801 0.0527220i
\(246\) 3.62713 12.0665i 0.231258 0.769329i
\(247\) −4.97073 + 7.43923i −0.316280 + 0.473347i
\(248\) 2.53789 + 1.66814i 0.161156 + 0.105927i
\(249\) 3.40804 2.27718i 0.215976 0.144310i
\(250\) 8.46983 + 4.49981i 0.535679 + 0.284593i
\(251\) 12.1965 + 14.8614i 0.769835 + 0.938046i 0.999378 0.0352520i \(-0.0112234\pi\)
−0.229544 + 0.973298i \(0.573723\pi\)
\(252\) −3.21894 1.31436i −0.202774 0.0827967i
\(253\) −3.85235 + 2.05913i −0.242195 + 0.129456i
\(254\) −5.32534 7.92662i −0.334142 0.497360i
\(255\) 3.89375 0.243836
\(256\) 0.322599 + 15.9967i 0.0201624 + 0.999797i
\(257\) −4.94760 −0.308623 −0.154311 0.988022i \(-0.549316\pi\)
−0.154311 + 0.988022i \(0.549316\pi\)
\(258\) −2.73135 4.06553i −0.170046 0.253109i
\(259\) −1.08083 + 0.577717i −0.0671597 + 0.0358976i
\(260\) −2.97949 1.21659i −0.184780 0.0754494i
\(261\) −5.88839 7.17503i −0.364482 0.444123i
\(262\) −9.65753 5.13080i −0.596644 0.316982i
\(263\) −13.1231 + 8.76858i −0.809205 + 0.540694i −0.889959 0.456040i \(-0.849267\pi\)
0.0807539 + 0.996734i \(0.474267\pi\)
\(264\) −3.73630 + 5.68435i −0.229954 + 0.349848i
\(265\) −0.904895 + 1.35427i −0.0555873 + 0.0831922i
\(266\) 2.81243 9.35618i 0.172441 0.573664i
\(267\) −10.2413 + 3.10666i −0.626757 + 0.190125i
\(268\) 8.39192 0.869267i 0.512618 0.0530990i
\(269\) 10.7944 + 8.85872i 0.658145 + 0.540126i 0.903112 0.429406i \(-0.141277\pi\)
−0.244966 + 0.969532i \(0.578777\pi\)
\(270\) −0.934756 0.384431i −0.0568874 0.0233957i
\(271\) 2.07784 + 0.860671i 0.126220 + 0.0522821i 0.444900 0.895580i \(-0.353239\pi\)
−0.318680 + 0.947863i \(0.603239\pi\)
\(272\) −20.2169 8.13631i −1.22583 0.493337i
\(273\) −3.61628 + 1.49791i −0.218867 + 0.0906579i
\(274\) −15.7013 + 0.0395749i −0.948551 + 0.00239081i
\(275\) −1.05825 10.7445i −0.0638146 0.647921i
\(276\) 1.07199 + 3.47078i 0.0645260 + 0.208917i
\(277\) −11.0044 + 20.5878i −0.661191 + 1.23700i 0.298088 + 0.954539i \(0.403651\pi\)
−0.959278 + 0.282462i \(0.908849\pi\)
\(278\) 13.0262 + 10.6355i 0.781257 + 0.637872i
\(279\) 1.05312 0.209479i 0.0630487 0.0125412i
\(280\) 3.49979 + 0.317999i 0.209153 + 0.0190041i
\(281\) 2.46072 12.3709i 0.146794 0.737983i −0.835330 0.549749i \(-0.814723\pi\)
0.982124 0.188235i \(-0.0602765\pi\)
\(282\) −1.27216 + 13.2590i −0.0757561 + 0.789561i
\(283\) 0.0187229 0.190097i 0.00111296 0.0113001i −0.994612 0.103666i \(-0.966943\pi\)
0.995725 + 0.0923655i \(0.0294428\pi\)
\(284\) −9.60906 + 1.96177i −0.570193 + 0.116409i
\(285\) 0.824406 2.71770i 0.0488336 0.160983i
\(286\) 1.51290 + 7.50695i 0.0894599 + 0.443895i
\(287\) 10.9522 + 10.9522i 0.646488 + 0.646488i
\(288\) 4.05009 + 3.94927i 0.238654 + 0.232713i
\(289\) 8.96805 8.96805i 0.527532 0.527532i
\(290\) 7.81349 + 5.19237i 0.458824 + 0.304906i
\(291\) −18.1512 5.50612i −1.06404 0.322775i
\(292\) −1.92323 + 1.29913i −0.112549 + 0.0760261i
\(293\) 10.9694 + 1.08039i 0.640837 + 0.0631169i 0.413216 0.910633i \(-0.364405\pi\)
0.227621 + 0.973750i \(0.426905\pi\)
\(294\) −4.33945 + 3.57964i −0.253082 + 0.208769i
\(295\) −6.89368 1.37124i −0.401365 0.0798365i
\(296\) 1.98278 0.210437i 0.115247 0.0122314i
\(297\) 0.469190 + 2.35878i 0.0272252 + 0.136870i
\(298\) 20.1987 2.04082i 1.17008 0.118221i
\(299\) 3.60656 + 1.92775i 0.208573 + 0.111484i
\(300\) −8.93953 0.834989i −0.516124 0.0482081i
\(301\) 5.99184 0.590145i 0.345364 0.0340154i
\(302\) 14.6000 + 14.5266i 0.840134 + 0.835909i
\(303\) 2.75353 + 6.64762i 0.158186 + 0.381896i
\(304\) −9.95931 + 12.3881i −0.571206 + 0.710504i
\(305\) 0.135645 0.327477i 0.00776704 0.0187513i
\(306\) −7.11094 + 2.96647i −0.406506 + 0.169582i
\(307\) −10.2766 + 12.5221i −0.586518 + 0.714675i −0.978719 0.205205i \(-0.934214\pi\)
0.392201 + 0.919880i \(0.371714\pi\)
\(308\) −3.97894 7.35466i −0.226721 0.419071i
\(309\) −2.64736 8.72717i −0.150603 0.496471i
\(310\) −0.955825 + 0.514001i −0.0542872 + 0.0291933i
\(311\) 18.9907 + 12.6892i 1.07687 + 0.719538i 0.961782 0.273818i \(-0.0882864\pi\)
0.115083 + 0.993356i \(0.463286\pi\)
\(312\) 6.36814 0.0481532i 0.360525 0.00272614i
\(313\) 12.3362 + 18.4624i 0.697284 + 1.04356i 0.996012 + 0.0892204i \(0.0284376\pi\)
−0.298728 + 0.954338i \(0.596562\pi\)
\(314\) 17.5202 5.36295i 0.988722 0.302649i
\(315\) 0.960435 0.788209i 0.0541144 0.0444105i
\(316\) −2.97023 2.94044i −0.167089 0.165413i
\(317\) 6.93632 + 12.9769i 0.389583 + 0.728858i 0.997896 0.0648394i \(-0.0206535\pi\)
−0.608313 + 0.793697i \(0.708154\pi\)
\(318\) 0.620804 3.16263i 0.0348130 0.177352i
\(319\) 22.3230i 1.24985i
\(320\) −5.08256 2.61865i −0.284124 0.146387i
\(321\) 3.14274i 0.175411i
\(322\) −4.38182 0.860124i −0.244190 0.0479328i
\(323\) −10.2056 19.0934i −0.567856 1.06238i
\(324\) 1.99997 0.0100819i 0.111110 0.000560103i
\(325\) −7.81334 + 6.41224i −0.433406 + 0.355687i
\(326\) 7.45797 + 24.3644i 0.413058 + 1.34942i
\(327\) 7.24242 + 10.8390i 0.400507 + 0.599400i
\(328\) −9.81925 23.2078i −0.542177 1.28144i
\(329\) −13.6144 9.09685i −0.750586 0.501525i
\(330\) −1.15126 2.14086i −0.0633747 0.117850i
\(331\) −5.50925 18.1616i −0.302816 0.998250i −0.967869 0.251454i \(-0.919091\pi\)
0.665054 0.746796i \(-0.268409\pi\)
\(332\) 2.34007 7.85653i 0.128428 0.431183i
\(333\) 0.447219 0.544938i 0.0245075 0.0298624i
\(334\) 12.1173 + 29.0465i 0.663030 + 1.58935i
\(335\) −1.15373 + 2.78535i −0.0630351 + 0.152180i
\(336\) −6.63375 + 2.08559i −0.361901 + 0.113778i
\(337\) −0.132912 0.320879i −0.00724019 0.0174794i 0.920218 0.391406i \(-0.128011\pi\)
−0.927458 + 0.373927i \(0.878011\pi\)
\(338\) −7.91054 + 7.95052i −0.430277 + 0.432451i
\(339\) 10.4640 1.03062i 0.568329 0.0559755i
\(340\) 5.99484 4.97062i 0.325116 0.269570i
\(341\) 2.27744 + 1.21732i 0.123330 + 0.0659215i
\(342\) 0.564925 + 5.59127i 0.0305477 + 0.302341i
\(343\) −3.72319 18.7177i −0.201033 1.01066i
\(344\) −9.39511 2.77257i −0.506551 0.149487i
\(345\) −1.27313 0.253241i −0.0685430 0.0136341i
\(346\) 19.2411 + 23.3252i 1.03441 + 1.25397i
\(347\) 23.3706 + 2.30180i 1.25460 + 0.123567i 0.703392 0.710802i \(-0.251668\pi\)
0.551206 + 0.834369i \(0.314168\pi\)
\(348\) −18.2252 3.52980i −0.976973 0.189217i
\(349\) 1.30878 + 0.397013i 0.0700573 + 0.0212516i 0.325119 0.945673i \(-0.394596\pi\)
−0.255062 + 0.966925i \(0.582096\pi\)
\(350\) 6.10871 9.19240i 0.326524 0.491354i
\(351\) 1.59208 1.59208i 0.0849790 0.0849790i
\(352\) 1.50401 + 13.5213i 0.0801639 + 0.720687i
\(353\) 6.76625 + 6.76625i 0.360131 + 0.360131i 0.863861 0.503730i \(-0.168039\pi\)
−0.503730 + 0.863861i \(0.668039\pi\)
\(354\) 13.6342 2.74776i 0.724651 0.146042i
\(355\) 1.01732 3.35366i 0.0539938 0.177994i
\(356\) −11.8017 + 17.8567i −0.625489 + 0.946403i
\(357\) 0.928369 9.42589i 0.0491345 0.498871i
\(358\) −2.06093 0.197740i −0.108923 0.0104509i
\(359\) 3.51207 17.6564i 0.185360 0.931867i −0.770365 0.637604i \(-0.779926\pi\)
0.955724 0.294263i \(-0.0950742\pi\)
\(360\) −1.92991 + 0.601403i −0.101715 + 0.0316967i
\(361\) 3.14759 0.626095i 0.165663 0.0329524i
\(362\) 6.23575 7.63745i 0.327744 0.401416i
\(363\) 2.45882 4.60012i 0.129054 0.241444i
\(364\) −3.65547 + 6.92261i −0.191599 + 0.362844i
\(365\) −0.0812913 0.825365i −0.00425498 0.0432016i
\(366\) 0.00176786 + 0.701396i 9.24073e−5 + 0.0366626i
\(367\) 18.9292 7.84073i 0.988096 0.409283i 0.170678 0.985327i \(-0.445404\pi\)
0.817419 + 0.576044i \(0.195404\pi\)
\(368\) 6.08111 + 3.97518i 0.317000 + 0.207221i
\(369\) −8.23123 3.40949i −0.428501 0.177491i
\(370\) −0.271007 + 0.658962i −0.0140890 + 0.0342578i
\(371\) 3.06264 + 2.51344i 0.159004 + 0.130491i
\(372\) 1.35398 1.66689i 0.0702005 0.0864243i
\(373\) 7.15296 2.16983i 0.370366 0.112349i −0.0996144 0.995026i \(-0.531761\pi\)
0.469981 + 0.882677i \(0.344261\pi\)
\(374\) −17.7458 5.33432i −0.917614 0.275831i
\(375\) 3.76778 5.63888i 0.194567 0.291191i
\(376\) 14.9673 + 22.0376i 0.771880 + 1.13650i
\(377\) −17.3766 + 11.6107i −0.894941 + 0.597980i
\(378\) −1.15349 + 2.17118i −0.0593292 + 0.111673i
\(379\) −0.630780 0.768607i −0.0324010 0.0394807i 0.756558 0.653927i \(-0.226880\pi\)
−0.788959 + 0.614446i \(0.789380\pi\)
\(380\) −2.20006 5.23660i −0.112861 0.268632i
\(381\) −5.95511 + 3.18307i −0.305089 + 0.163074i
\(382\) −21.8127 + 14.6544i −1.11603 + 0.749785i
\(383\) −26.5482 −1.35655 −0.678275 0.734808i \(-0.737272\pi\)
−0.678275 + 0.734808i \(0.737272\pi\)
\(384\) 11.2770 + 0.910125i 0.575479 + 0.0464446i
\(385\) 2.98811 0.152288
\(386\) 29.5772 19.8709i 1.50544 1.01140i
\(387\) −3.05435 + 1.63259i −0.155262 + 0.0829890i
\(388\) −34.9747 + 14.6940i −1.77557 + 0.745973i
\(389\) 24.3389 + 29.6570i 1.23403 + 1.50367i 0.796709 + 0.604363i \(0.206572\pi\)
0.437320 + 0.899306i \(0.355928\pi\)
\(390\) −1.06769 + 2.00967i −0.0540644 + 0.101764i
\(391\) −8.22775 + 5.49761i −0.416095 + 0.278026i
\(392\) −2.11141 + 11.0508i −0.106642 + 0.558150i
\(393\) −4.29613 + 6.42961i −0.216711 + 0.324331i
\(394\) −19.1880 5.76784i −0.966677 0.290580i
\(395\) 1.42922 0.433548i 0.0719117 0.0218142i
\(396\) 3.73350 + 3.03264i 0.187615 + 0.152396i
\(397\) −10.5556 8.66276i −0.529770 0.434771i 0.331100 0.943596i \(-0.392580\pi\)
−0.860870 + 0.508824i \(0.830080\pi\)
\(398\) −4.82932 + 11.7426i −0.242072 + 0.588605i
\(399\) −6.38239 2.64367i −0.319519 0.132349i
\(400\) −14.8293 + 10.1263i −0.741464 + 0.506317i
\(401\) −12.9278 + 5.35487i −0.645583 + 0.267409i −0.681358 0.731950i \(-0.738610\pi\)
0.0357744 + 0.999360i \(0.488610\pi\)
\(402\) −0.0150365 5.96572i −0.000749951 0.297543i
\(403\) −0.236966 2.40596i −0.0118041 0.119849i
\(404\) 12.7255 + 6.71965i 0.633115 + 0.334315i
\(405\) −0.336901 + 0.630298i −0.0167408 + 0.0313197i
\(406\) 14.4325 17.6767i 0.716273 0.877281i
\(407\) 1.66284 0.330759i 0.0824237 0.0163951i
\(408\) −7.16116 + 13.6448i −0.354530 + 0.675517i
\(409\) −2.41571 + 12.1446i −0.119449 + 0.600512i 0.873970 + 0.485979i \(0.161537\pi\)
−0.993420 + 0.114532i \(0.963463\pi\)
\(410\) 8.96376 + 0.860047i 0.442689 + 0.0424747i
\(411\) −1.08824 + 11.0491i −0.0536789 + 0.545011i
\(412\) −15.2167 10.0569i −0.749672 0.495467i
\(413\) −4.96309 + 16.3611i −0.244218 + 0.805077i
\(414\) 2.51798 0.507459i 0.123752 0.0249402i
\(415\) 2.07138 + 2.07138i 0.101680 + 0.101680i
\(416\) 9.74296 8.20348i 0.477688 0.402209i
\(417\) 8.40824 8.40824i 0.411753 0.411753i
\(418\) −7.48042 + 11.2566i −0.365879 + 0.550576i
\(419\) 9.04930 + 2.74507i 0.442087 + 0.134106i 0.503478 0.864008i \(-0.332054\pi\)
−0.0613907 + 0.998114i \(0.519554\pi\)
\(420\) 0.472492 2.43959i 0.0230553 0.119040i
\(421\) 20.3260 + 2.00194i 0.990629 + 0.0975684i 0.580329 0.814382i \(-0.302924\pi\)
0.410300 + 0.911951i \(0.365424\pi\)
\(422\) −16.5908 20.1124i −0.807627 0.979054i
\(423\) 9.23760 + 1.83747i 0.449147 + 0.0893410i
\(424\) −3.08151 5.66170i −0.149651 0.274956i
\(425\) −4.77154 23.9882i −0.231454 1.16360i
\(426\) 0.697121 + 6.89966i 0.0337756 + 0.334290i
\(427\) −0.760407 0.406446i −0.0367987 0.0196693i
\(428\) 4.01191 + 4.83858i 0.193923 + 0.233882i
\(429\) 5.38887 0.530757i 0.260177 0.0256252i
\(430\) 2.46893 2.48140i 0.119062 0.119664i
\(431\) −4.15848 10.0395i −0.200307 0.483584i 0.791525 0.611137i \(-0.209288\pi\)
−0.991832 + 0.127553i \(0.959288\pi\)
\(432\) 3.06630 2.56862i 0.147528 0.123583i
\(433\) −7.17154 + 17.3136i −0.344642 + 0.832040i 0.652591 + 0.757710i \(0.273682\pi\)
−0.997234 + 0.0743302i \(0.976318\pi\)
\(434\) 1.01639 + 2.43639i 0.0487882 + 0.116950i
\(435\) 4.20836 5.12790i 0.201775 0.245864i
\(436\) 24.9872 + 7.44244i 1.19667 + 0.356428i
\(437\) 2.09512 + 6.90668i 0.100223 + 0.330391i
\(438\) 0.777266 + 1.44539i 0.0371392 + 0.0690633i
\(439\) 31.7465 + 21.2123i 1.51518 + 1.01241i 0.986533 + 0.163563i \(0.0522988\pi\)
0.528643 + 0.848844i \(0.322701\pi\)
\(440\) −4.50542 1.82642i −0.214788 0.0870711i
\(441\) 2.20991 + 3.30736i 0.105234 + 0.157493i
\(442\) 5.07766 + 16.5882i 0.241520 + 0.789019i
\(443\) −4.24072 + 3.48027i −0.201482 + 0.165352i −0.729724 0.683742i \(-0.760352\pi\)
0.528242 + 0.849094i \(0.322852\pi\)
\(444\) −0.00710727 1.40989i −0.000337296 0.0669106i
\(445\) −3.60556 6.74552i −0.170920 0.319768i
\(446\) −35.9557 7.05786i −1.70255 0.334199i
\(447\) 14.3554i 0.678986i
\(448\) −7.55098 + 11.6794i −0.356750 + 0.551800i
\(449\) 5.43882i 0.256674i 0.991731 + 0.128337i \(0.0409638\pi\)
−0.991731 + 0.128337i \(0.959036\pi\)
\(450\) −1.22288 + 6.22983i −0.0576469 + 0.293677i
\(451\) −10.1006 18.8970i −0.475621 0.889824i
\(452\) 14.7948 14.9448i 0.695891 0.702943i
\(453\) 11.2576 9.23886i 0.528928 0.434080i
\(454\) −19.9862 + 6.11781i −0.938001 + 0.287123i
\(455\) −1.55418 2.32600i −0.0728612 0.109044i
\(456\) 8.00738 + 7.88719i 0.374980 + 0.369352i
\(457\) −18.9333 12.6509i −0.885664 0.591782i 0.0273877 0.999625i \(-0.491281\pi\)
−0.913052 + 0.407843i \(0.866281\pi\)
\(458\) −11.3843 + 6.12195i −0.531951 + 0.286060i
\(459\) 1.58152 + 5.21359i 0.0738193 + 0.243349i
\(460\) −2.28340 + 1.23534i −0.106464 + 0.0575980i
\(461\) −25.9885 + 31.6671i −1.21041 + 1.47488i −0.373415 + 0.927664i \(0.621813\pi\)
−0.836990 + 0.547219i \(0.815687\pi\)
\(462\) −5.45702 + 2.27650i −0.253884 + 0.105912i
\(463\) 7.34726 17.7379i 0.341456 0.824348i −0.656113 0.754663i \(-0.727800\pi\)
0.997569 0.0696853i \(-0.0221995\pi\)
\(464\) −32.5656 + 17.8311i −1.51182 + 0.827789i
\(465\) 0.293670 + 0.708983i 0.0136186 + 0.0328783i
\(466\) −13.4425 13.3749i −0.622714 0.619582i
\(467\) 4.21922 0.415557i 0.195242 0.0192297i 7.66273e−5 1.00000i \(-0.499976\pi\)
0.195165 + 0.980770i \(0.437476\pi\)
\(468\) 0.418784 4.48357i 0.0193583 0.207253i
\(469\) 6.46764 + 3.45702i 0.298648 + 0.159631i
\(470\) −9.47132 + 0.956954i −0.436879 + 0.0441410i
\(471\) −2.52760 12.7071i −0.116466 0.585512i
\(472\) 17.4836 21.6354i 0.804750 0.995852i
\(473\) −8.16915 1.62494i −0.375618 0.0747150i
\(474\) −2.27980 + 1.88062i −0.104715 + 0.0863798i
\(475\) −17.7532 1.74854i −0.814572 0.0802283i
\(476\) −10.6034 15.6973i −0.486007 0.719484i
\(477\) −2.18086 0.661557i −0.0998548 0.0302906i
\(478\) 8.82706 + 5.86593i 0.403740 + 0.268301i
\(479\) 10.3843 10.3843i 0.474471 0.474471i −0.428887 0.903358i \(-0.641094\pi\)
0.903358 + 0.428887i \(0.141094\pi\)
\(480\) −2.20356 + 3.38957i −0.100578 + 0.154712i
\(481\) −1.12235 1.12235i −0.0511746 0.0511746i
\(482\) −7.79888 38.6976i −0.355229 1.76263i
\(483\) −0.916587 + 3.02158i −0.0417062 + 0.137487i
\(484\) −2.08674 10.2212i −0.0948519 0.464600i
\(485\) 1.32874 13.4909i 0.0603349 0.612591i
\(486\) 0.135069 1.40775i 0.00612687 0.0638568i
\(487\) 1.97642 9.93613i 0.0895601 0.450249i −0.909819 0.415006i \(-0.863779\pi\)
0.999379 0.0352431i \(-0.0112205\pi\)
\(488\) 0.898099 + 1.07762i 0.0406550 + 0.0487814i
\(489\) 17.6711 3.51500i 0.799114 0.158954i
\(490\) −3.11421 2.54265i −0.140685 0.114865i
\(491\) −1.62097 + 3.03261i −0.0731532 + 0.136860i −0.915839 0.401546i \(-0.868473\pi\)
0.842686 + 0.538406i \(0.180973\pi\)
\(492\) −17.0253 + 5.25842i −0.767558 + 0.237068i
\(493\) −4.95670 50.3262i −0.223238 2.26658i
\(494\) 12.6530 0.0318918i 0.569288 0.00143488i
\(495\) −1.58798 + 0.657762i −0.0713743 + 0.0295642i
\(496\) −0.0433012 4.29479i −0.00194428 0.192842i
\(497\) −7.87590 3.26231i −0.353282 0.146334i
\(498\) −5.36093 2.20476i −0.240229 0.0987975i
\(499\) −15.5262 12.7420i −0.695049 0.570412i 0.219143 0.975693i \(-0.429674\pi\)
−0.914192 + 0.405281i \(0.867174\pi\)
\(500\) −1.39750 13.4915i −0.0624980 0.603357i
\(501\) 21.2963 6.46015i 0.951447 0.288618i
\(502\) 7.82690 26.0379i 0.349332 1.16213i
\(503\) 4.48109 6.70643i 0.199802 0.299025i −0.718016 0.696027i \(-0.754949\pi\)
0.917818 + 0.397002i \(0.129949\pi\)
\(504\) 0.995723 + 4.81526i 0.0443530 + 0.214489i
\(505\) −4.27576 + 2.85697i −0.190269 + 0.127133i
\(506\) 5.45537 + 2.89830i 0.242521 + 0.128845i
\(507\) 5.03109 + 6.13040i 0.223439 + 0.272261i
\(508\) −5.10512 + 12.5028i −0.226503 + 0.554720i
\(509\) 4.92257 2.63117i 0.218189 0.116624i −0.358682 0.933460i \(-0.616774\pi\)
0.576871 + 0.816835i \(0.304274\pi\)
\(510\) −3.07083 4.57084i −0.135979 0.202400i
\(511\) −2.01741 −0.0892448
\(512\) 18.5240 12.9946i 0.818654 0.574287i
\(513\) 3.97376 0.175446
\(514\) 3.90195 + 5.80794i 0.172108 + 0.256177i
\(515\) 5.74823 3.07249i 0.253297 0.135390i
\(516\) −2.61840 + 6.41262i −0.115269 + 0.282300i
\(517\) 14.3700 + 17.5099i 0.631992 + 0.770085i
\(518\) 1.53058 + 0.813161i 0.0672500 + 0.0357282i
\(519\) 17.7775 11.8786i 0.780347 0.521411i
\(520\) 0.921654 + 4.45707i 0.0404172 + 0.195455i
\(521\) 6.75556 10.1104i 0.295967 0.442945i −0.653448 0.756972i \(-0.726678\pi\)
0.949414 + 0.314026i \(0.101678\pi\)
\(522\) −3.77879 + 12.5710i −0.165393 + 0.550216i
\(523\) −23.6997 + 7.18921i −1.03631 + 0.314362i −0.762205 0.647336i \(-0.775883\pi\)
−0.274109 + 0.961699i \(0.588383\pi\)
\(524\) 1.59346 + 15.3833i 0.0696108 + 0.672024i
\(525\) −6.03286 4.95104i −0.263296 0.216081i
\(526\) 20.6430 + 8.48971i 0.900076 + 0.370169i
\(527\) 5.40470 + 2.23870i 0.235432 + 0.0975193i
\(528\) 9.61947 0.0969859i 0.418634 0.00422077i
\(529\) −18.2015 + 7.53929i −0.791368 + 0.327795i
\(530\) 2.30342 0.00580572i 0.100054 0.000252184i
\(531\) −0.963969 9.78734i −0.0418327 0.424734i
\(532\) −13.2012 + 4.07732i −0.572344 + 0.176774i
\(533\) −9.45619 + 17.6913i −0.409593 + 0.766295i
\(534\) 11.7237 + 9.57208i 0.507336 + 0.414224i
\(535\) −2.20292 + 0.438188i −0.0952405 + 0.0189445i
\(536\) −7.63877 9.16565i −0.329945 0.395896i
\(537\) −0.285610 + 1.43586i −0.0123250 + 0.0619618i
\(538\) 1.88612 19.6579i 0.0813164 0.847513i
\(539\) −0.937671 + 9.52033i −0.0403883 + 0.410070i
\(540\) 0.285920 + 1.40049i 0.0123041 + 0.0602673i
\(541\) 8.90729 29.3634i 0.382954 1.26243i −0.527760 0.849394i \(-0.676968\pi\)
0.910714 0.413037i \(-0.135532\pi\)
\(542\) −0.628370 3.11794i −0.0269908 0.133927i
\(543\) −4.92989 4.92989i −0.211562 0.211562i
\(544\) 6.39305 + 30.1492i 0.274100 + 1.29264i
\(545\) −6.58788 + 6.58788i −0.282194 + 0.282194i
\(546\) 4.61039 + 3.06379i 0.197307 + 0.131118i
\(547\) 38.5534 + 11.6950i 1.64842 + 0.500044i 0.971705 0.236197i \(-0.0759012\pi\)
0.676719 + 0.736241i \(0.263401\pi\)
\(548\) 12.4294 + 18.4004i 0.530958 + 0.786028i
\(549\) 0.493575 + 0.0486129i 0.0210653 + 0.00207475i
\(550\) −11.7783 + 9.71602i −0.502230 + 0.414293i
\(551\) −36.1754 7.19574i −1.54112 0.306549i
\(552\) 3.22890 3.99565i 0.137431 0.170066i
\(553\) −0.708762 3.56318i −0.0301396 0.151522i
\(554\) 32.8465 3.31871i 1.39552 0.140999i
\(555\) 0.444332 + 0.237501i 0.0188609 + 0.0100813i
\(556\) 2.21172 23.6790i 0.0937976 1.00421i
\(557\) 24.2226 2.38572i 1.02635 0.101086i 0.429192 0.903213i \(-0.358798\pi\)
0.597153 + 0.802127i \(0.296298\pi\)
\(558\) −1.07646 1.07104i −0.0455700 0.0453409i
\(559\) 2.98407 + 7.20419i 0.126213 + 0.304705i
\(560\) −2.38684 4.35917i −0.100862 0.184209i
\(561\) −5.01424 + 12.1054i −0.211701 + 0.511092i
\(562\) −16.4627 + 6.86774i −0.694437 + 0.289698i
\(563\) −17.3329 + 21.1201i −0.730493 + 0.890108i −0.997284 0.0736462i \(-0.976536\pi\)
0.266792 + 0.963754i \(0.414036\pi\)
\(564\) 16.5679 8.96340i 0.697635 0.377427i
\(565\) 2.18140 + 7.19112i 0.0917723 + 0.302533i
\(566\) −0.237919 + 0.127942i −0.0100005 + 0.00537782i
\(567\) 1.44548 + 0.965841i 0.0607046 + 0.0405615i
\(568\) 9.88114 + 9.73283i 0.414604 + 0.408381i
\(569\) 21.5695 + 32.2810i 0.904241 + 1.35329i 0.935330 + 0.353775i \(0.115102\pi\)
−0.0310898 + 0.999517i \(0.509898\pi\)
\(570\) −3.84046 + 1.17557i −0.160859 + 0.0492392i
\(571\) 33.4486 27.4506i 1.39978 1.14877i 0.430565 0.902560i \(-0.358314\pi\)
0.969216 0.246211i \(-0.0791857\pi\)
\(572\) 7.61918 7.69639i 0.318574 0.321802i
\(573\) 8.75926 + 16.3874i 0.365923 + 0.684595i
\(574\) 4.21917 21.4942i 0.176105 0.897151i
\(575\) 8.15369i 0.340032i
\(576\) 1.44189 7.86899i 0.0600788 0.327874i
\(577\) 0.713433i 0.0297006i −0.999890 0.0148503i \(-0.995273\pi\)
0.999890 0.0148503i \(-0.00472717\pi\)
\(578\) −17.6002 3.45481i −0.732073 0.143701i
\(579\) −11.8772 22.2207i −0.493601 0.923463i
\(580\) −0.0668798 13.2672i −0.00277703 0.550890i
\(581\) 5.50821 4.52047i 0.228519 0.187541i
\(582\) 7.85151 + 25.6500i 0.325455 + 1.06323i
\(583\) −3.04506 4.55725i −0.126113 0.188742i
\(584\) 3.04181 + 1.23310i 0.125871 + 0.0510259i
\(585\) 1.33796 + 0.893995i 0.0553178 + 0.0369622i
\(586\) −7.38279 13.7289i −0.304980 0.567135i
\(587\) 11.2514 + 37.0908i 0.464394 + 1.53090i 0.806497 + 0.591239i \(0.201361\pi\)
−0.342103 + 0.939662i \(0.611139\pi\)
\(588\) 7.62444 + 2.27094i 0.314427 + 0.0936520i
\(589\) 2.70685 3.29831i 0.111534 0.135904i
\(590\) 3.82706 + 9.17386i 0.157557 + 0.377682i
\(591\) −5.42174 + 13.0892i −0.223021 + 0.538419i
\(592\) −1.81076 2.16161i −0.0744219 0.0888415i
\(593\) −12.9539 31.2734i −0.531951 1.28424i −0.930229 0.366980i \(-0.880392\pi\)
0.398278 0.917265i \(-0.369608\pi\)
\(594\) 2.39892 2.41104i 0.0984289 0.0989264i
\(595\) 6.73656 0.663494i 0.276172 0.0272006i
\(596\) −18.3255 22.1016i −0.750644 0.905317i
\(597\) 7.91796 + 4.23224i 0.324061 + 0.173214i
\(598\) −0.581371 5.75404i −0.0237740 0.235300i
\(599\) 7.89256 + 39.6786i 0.322481 + 1.62122i 0.713372 + 0.700786i \(0.247167\pi\)
−0.390891 + 0.920437i \(0.627833\pi\)
\(600\) 6.07003 + 11.1526i 0.247808 + 0.455301i
\(601\) −18.7737 3.73432i −0.765794 0.152326i −0.203288 0.979119i \(-0.565163\pi\)
−0.562506 + 0.826793i \(0.690163\pi\)
\(602\) −5.41827 6.56835i −0.220832 0.267706i
\(603\) −4.19810 0.413477i −0.170960 0.0168381i
\(604\) 5.53824 28.5952i 0.225348 1.16352i
\(605\) 3.56730 + 1.08213i 0.145032 + 0.0439948i
\(606\) 5.63199 8.47503i 0.228784 0.344275i
\(607\) 31.1285 31.1285i 1.26347 1.26347i 0.314064 0.949402i \(-0.398309\pi\)
0.949402 0.314064i \(-0.101691\pi\)
\(608\) 22.3967 + 1.92123i 0.908307 + 0.0779162i
\(609\) −11.4101 11.4101i −0.462361 0.462361i
\(610\) −0.491400 + 0.0990338i −0.0198962 + 0.00400976i
\(611\) 6.15587 20.2932i 0.249040 0.820975i
\(612\) 9.09040 + 6.00795i 0.367458 + 0.242857i
\(613\) 3.84853 39.0747i 0.155441 1.57821i −0.528665 0.848831i \(-0.677307\pi\)
0.684105 0.729383i \(-0.260193\pi\)
\(614\) 22.8043 + 2.18801i 0.920308 + 0.0883009i
\(615\) 1.24223 6.24510i 0.0500914 0.251827i
\(616\) −5.49556 + 10.4712i −0.221422 + 0.421895i
\(617\) −14.6973 + 2.92347i −0.591691 + 0.117695i −0.481849 0.876254i \(-0.660035\pi\)
−0.109842 + 0.993949i \(0.535035\pi\)
\(618\) −8.15690 + 9.99045i −0.328118 + 0.401875i
\(619\) −14.2138 + 26.5922i −0.571302 + 1.06883i 0.415908 + 0.909407i \(0.363464\pi\)
−0.987210 + 0.159425i \(0.949036\pi\)
\(620\) 1.35720 + 0.716665i 0.0545064 + 0.0287820i
\(621\) −0.178027 1.80753i −0.00714396 0.0725339i
\(622\) −0.0814127 32.3005i −0.00326435 1.29513i
\(623\) −17.1891 + 7.11994i −0.688665 + 0.285254i
\(624\) −5.07880 7.43753i −0.203315 0.297740i
\(625\) −16.2596 6.73493i −0.650383 0.269397i
\(626\) 11.9439 29.0419i 0.477373 1.16075i
\(627\) 7.38754 + 6.06280i 0.295030 + 0.242125i
\(628\) −20.1129 16.3373i −0.802593 0.651928i
\(629\) 3.67535 1.11491i 0.146546 0.0444542i
\(630\) −1.68273 0.505821i −0.0670414 0.0201524i
\(631\) 8.20010 12.2723i 0.326441 0.488554i −0.631557 0.775330i \(-0.717584\pi\)
0.957998 + 0.286776i \(0.0925836\pi\)
\(632\) −1.10926 + 5.80573i −0.0441241 + 0.230940i
\(633\) −15.3289 + 10.2424i −0.609267 + 0.407099i
\(634\) 9.76315 18.3768i 0.387744 0.729837i
\(635\) −3.06150 3.73045i −0.121492 0.148038i
\(636\) −4.20219 + 1.76547i −0.166628 + 0.0700055i
\(637\) 7.89851 4.22184i 0.312950 0.167275i
\(638\) −26.2047 + 17.6051i −1.03746 + 0.696994i
\(639\) 4.90363 0.193985
\(640\) 0.934385 + 8.03159i 0.0369348 + 0.317477i
\(641\) −4.91328 −0.194063 −0.0970314 0.995281i \(-0.530935\pi\)
−0.0970314 + 0.995281i \(0.530935\pi\)
\(642\) 3.68924 2.47854i 0.145603 0.0978203i
\(643\) −35.8046 + 19.1380i −1.41200 + 0.754728i −0.988507 0.151173i \(-0.951695\pi\)
−0.423489 + 0.905901i \(0.639195\pi\)
\(644\) 2.44606 + 5.82213i 0.0963883 + 0.229424i
\(645\) −1.57023 1.91333i −0.0618279 0.0753375i
\(646\) −14.3648 + 27.0384i −0.565177 + 1.06381i
\(647\) −15.7302 + 10.5106i −0.618417 + 0.413213i −0.824933 0.565230i \(-0.808787\pi\)
0.206517 + 0.978443i \(0.433787\pi\)
\(648\) −1.58913 2.33980i −0.0624268 0.0919161i
\(649\) 13.1405 19.6662i 0.515811 0.771966i
\(650\) 13.6893 + 4.11496i 0.536939 + 0.161402i
\(651\) 1.78631 0.541870i 0.0700109 0.0212376i
\(652\) 22.7194 27.9700i 0.889759 1.09539i
\(653\) −18.9810 15.5773i −0.742784 0.609587i 0.184986 0.982741i \(-0.440776\pi\)
−0.927769 + 0.373155i \(0.878276\pi\)
\(654\) 7.01208 17.0501i 0.274194 0.666711i
\(655\) −5.10586 2.11492i −0.199503 0.0826367i
\(656\) −19.4995 + 29.8297i −0.761327 + 1.16466i
\(657\) 1.07212 0.444085i 0.0418272 0.0173254i
\(658\) 0.0583645 + 23.1561i 0.00227529 + 0.902719i
\(659\) 2.11088 + 21.4321i 0.0822283 + 0.834878i 0.944517 + 0.328462i \(0.106530\pi\)
−0.862289 + 0.506416i \(0.830970\pi\)
\(660\) −1.60518 + 3.03985i −0.0624817 + 0.118326i
\(661\) 4.00290 7.48890i 0.155695 0.291285i −0.791965 0.610567i \(-0.790942\pi\)
0.947660 + 0.319282i \(0.103442\pi\)
\(662\) −16.9748 + 20.7905i −0.659744 + 0.808045i
\(663\) 12.0311 2.39314i 0.467250 0.0929418i
\(664\) −11.0682 + 3.44912i −0.429531 + 0.133852i
\(665\) 0.963207 4.84237i 0.0373516 0.187779i
\(666\) −0.992401 0.0952180i −0.0384548 0.00368962i
\(667\) −1.65243 + 16.7774i −0.0639824 + 0.649624i
\(668\) 24.5411 37.1321i 0.949522 1.43669i
\(669\) −7.52118 + 24.7940i −0.290786 + 0.958592i
\(670\) 4.17960 0.842331i 0.161472 0.0325421i
\(671\) 0.843428 + 0.843428i 0.0325602 + 0.0325602i
\(672\) 7.68001 + 6.14249i 0.296263 + 0.236952i
\(673\) 25.3557 25.3557i 0.977390 0.977390i −0.0223595 0.999750i \(-0.507118\pi\)
0.999750 + 0.0223595i \(0.00711785\pi\)
\(674\) −0.271855 + 0.409088i −0.0104715 + 0.0157575i
\(675\) 4.29592 + 1.30315i 0.165350 + 0.0501584i
\(676\) 15.5717 + 3.01589i 0.598913 + 0.115996i
\(677\) 29.9955 + 2.95430i 1.15282 + 0.113543i 0.656313 0.754489i \(-0.272115\pi\)
0.496508 + 0.868032i \(0.334615\pi\)
\(678\) −9.46237 11.4708i −0.363400 0.440535i
\(679\) −32.3417 6.43316i −1.24116 0.246882i
\(680\) −10.5628 3.11718i −0.405066 0.119538i
\(681\) 2.88337 + 14.4957i 0.110491 + 0.555476i
\(682\) −0.367120 3.63352i −0.0140577 0.139135i
\(683\) −4.53596 2.42452i −0.173564 0.0927718i 0.382327 0.924027i \(-0.375123\pi\)
−0.555891 + 0.831255i \(0.687623\pi\)
\(684\) 6.11802 5.07275i 0.233928 0.193962i
\(685\) −7.89664 + 0.777751i −0.301715 + 0.0297163i
\(686\) −19.0363 + 19.1325i −0.726808 + 0.730481i
\(687\) 3.49773 + 8.44427i 0.133447 + 0.322169i
\(688\) 4.15481 + 13.2155i 0.158401 + 0.503834i
\(689\) −1.96365 + 4.74066i −0.0748090 + 0.180605i
\(690\) 0.706784 + 1.69424i 0.0269068 + 0.0644985i
\(691\) −29.9987 + 36.5535i −1.14120 + 1.39056i −0.232770 + 0.972532i \(0.574779\pi\)
−0.908434 + 0.418029i \(0.862721\pi\)
\(692\) 12.2066 40.9824i 0.464026 1.55792i
\(693\) 1.21368 + 4.00097i 0.0461039 + 0.151984i
\(694\) −15.7293 29.2499i −0.597076 1.11031i
\(695\) 7.06614 + 4.72144i 0.268034 + 0.179095i
\(696\) 10.2298 + 24.1782i 0.387760 + 0.916472i
\(697\) −26.9675 40.3597i −1.02147 1.52873i
\(698\) −0.566125 1.84947i −0.0214281 0.0700035i
\(699\) −10.3651 + 8.50644i −0.392045 + 0.321743i
\(700\) −15.6085 + 0.0786826i −0.589948 + 0.00297392i
\(701\) 13.8683 + 25.9458i 0.523800 + 0.979961i 0.995183 + 0.0980326i \(0.0312549\pi\)
−0.471383 + 0.881929i \(0.656245\pi\)
\(702\) −3.12454 0.613326i −0.117928 0.0231485i
\(703\) 2.80132i 0.105654i
\(704\) 14.6864 12.4292i 0.553514 0.468443i
\(705\) 6.73133i 0.253517i
\(706\) 2.60660 13.2791i 0.0981006 0.499765i
\(707\) 5.89663 + 11.0318i 0.221766 + 0.414894i
\(708\) −13.9783 13.8381i −0.525336 0.520067i
\(709\) −32.1273 + 26.3662i −1.20656 + 0.990202i −0.206634 + 0.978418i \(0.566251\pi\)
−0.999931 + 0.0117836i \(0.996249\pi\)
\(710\) −4.73915 + 1.45066i −0.177857 + 0.0544423i
\(711\) 1.16101 + 1.73758i 0.0435413 + 0.0651642i
\(712\) 30.2693 0.228884i 1.13439 0.00857777i
\(713\) −1.62156 1.08349i −0.0607280 0.0405772i
\(714\) −11.7971 + 6.34398i −0.441497 + 0.237418i
\(715\) 1.12340 + 3.70335i 0.0420127 + 0.138497i
\(716\) 1.39324 + 2.57525i 0.0520677 + 0.0962417i
\(717\) 4.75427 5.79310i 0.177551 0.216347i
\(718\) −23.4965 + 9.80201i −0.876880 + 0.365808i
\(719\) 3.36745 8.12974i 0.125585 0.303188i −0.848565 0.529091i \(-0.822533\pi\)
0.974150 + 0.225903i \(0.0725331\pi\)
\(720\) 2.22801 + 1.79120i 0.0830332 + 0.0667541i
\(721\) −6.06729 14.6477i −0.225958 0.545511i
\(722\) −3.21734 3.20116i −0.119737 0.119135i
\(723\) −27.7791 + 2.73600i −1.03312 + 0.101753i
\(724\) −13.8834 1.29677i −0.515973 0.0481939i
\(725\) −36.7485 19.6425i −1.36480 0.729503i
\(726\) −7.33920 + 0.741531i −0.272383 + 0.0275208i
\(727\) 8.02880 + 40.3635i 0.297772 + 1.49700i 0.782674 + 0.622431i \(0.213855\pi\)
−0.484903 + 0.874568i \(0.661145\pi\)
\(728\) 11.0093 1.16844i 0.408032 0.0433053i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −0.904778 + 0.746356i −0.0334873 + 0.0276239i
\(731\) −18.7778 1.84945i −0.694523 0.0684045i
\(732\) 0.821969 0.555236i 0.0303808 0.0205221i
\(733\) 42.7306 + 12.9622i 1.57829 + 0.478770i 0.953341 0.301894i \(-0.0976190\pi\)
0.624951 + 0.780664i \(0.285119\pi\)
\(734\) −24.1328 16.0372i −0.890758 0.591943i
\(735\) −2.01018 + 2.01018i −0.0741468 + 0.0741468i
\(736\) −0.129479 10.2736i −0.00477265 0.378691i
\(737\) −7.17377 7.17377i −0.264249 0.264249i
\(738\) 2.48924 + 12.3515i 0.0916303 + 0.454664i
\(739\) −6.85788 + 22.6074i −0.252271 + 0.831627i 0.735743 + 0.677261i \(0.236833\pi\)
−0.988014 + 0.154365i \(0.950667\pi\)
\(740\) 0.987281 0.201561i 0.0362932 0.00740954i
\(741\) 0.876968 8.90400i 0.0322162 0.327097i
\(742\) 0.535140 5.57744i 0.0196456 0.204754i
\(743\) 7.88405 39.6358i 0.289238 1.45410i −0.513668 0.857989i \(-0.671714\pi\)
0.802905 0.596107i \(-0.203286\pi\)
\(744\) −3.02457 0.274819i −0.110886 0.0100754i
\(745\) 10.0625 2.00155i 0.368660 0.0733311i
\(746\) −8.18837 6.68555i −0.299797 0.244775i
\(747\) −1.93217 + 3.61483i −0.0706943 + 0.132260i
\(748\) 7.73342 + 25.0386i 0.282762 + 0.915502i
\(749\) 0.535522 + 5.43725i 0.0195676 + 0.198673i
\(750\) −9.59092 + 0.0241737i −0.350211 + 0.000882700i
\(751\) −44.1451 + 18.2855i −1.61088 + 0.667247i −0.992900 0.118949i \(-0.962047\pi\)
−0.617977 + 0.786196i \(0.712047\pi\)
\(752\) 14.0657 34.9501i 0.512923 1.27450i
\(753\) −17.7620 7.35725i −0.647282 0.268113i
\(754\) 27.3338 + 11.2414i 0.995440 + 0.409388i
\(755\) 8.04565 + 6.60290i 0.292811 + 0.240304i
\(756\) 3.45843 0.358238i 0.125782 0.0130290i
\(757\) −35.4850 + 10.7643i −1.28973 + 0.391234i −0.859337 0.511410i \(-0.829123\pi\)
−0.430388 + 0.902644i \(0.641623\pi\)
\(758\) −0.404793 + 1.34663i −0.0147028 + 0.0489120i
\(759\) 2.42681 3.63197i 0.0880875 0.131832i
\(760\) −4.41211 + 6.71251i −0.160044 + 0.243488i
\(761\) −6.69219 + 4.47158i −0.242592 + 0.162095i −0.670923 0.741527i \(-0.734102\pi\)
0.428331 + 0.903622i \(0.359102\pi\)
\(762\) 8.43311 + 4.48030i 0.305500 + 0.162304i
\(763\) 14.3771 + 17.5185i 0.520484 + 0.634212i
\(764\) 34.4054 + 14.0484i 1.24474 + 0.508254i
\(765\) −3.43398 + 1.83550i −0.124156 + 0.0663626i
\(766\) 20.9374 + 31.1647i 0.756500 + 1.12603i
\(767\) −22.1432 −0.799546
\(768\) −7.82532 13.9558i −0.282372 0.503587i
\(769\) −1.42178 −0.0512707 −0.0256354 0.999671i \(-0.508161\pi\)
−0.0256354 + 0.999671i \(0.508161\pi\)
\(770\) −2.35659 3.50771i −0.0849256 0.126409i
\(771\) 4.36339 2.33228i 0.157144 0.0839950i
\(772\) −46.6525 19.0491i −1.67906 0.685593i
\(773\) 3.54403 + 4.31842i 0.127470 + 0.155323i