Properties

Label 414.2.m.a.25.6
Level $414$
Weight $2$
Character 414.25
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.6
Character \(\chi\) \(=\) 414.25
Dual form 414.2.m.a.265.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.888835 - 0.458227i) q^{2} +(0.143725 - 1.72608i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.196850 - 0.811428i) q^{5} +(-0.663187 - 1.60006i) q^{6} +(-1.10397 - 3.18970i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.95869 - 0.496161i) q^{9} +O(q^{10})\) \(q+(0.888835 - 0.458227i) q^{2} +(0.143725 - 1.72608i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.196850 - 0.811428i) q^{5} +(-0.663187 - 1.60006i) q^{6} +(-1.10397 - 3.18970i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.95869 - 0.496161i) q^{9} +(-0.546785 - 0.631024i) q^{10} +(0.108882 + 2.28571i) q^{11} +(-1.32265 - 1.11830i) q^{12} +(-1.57591 + 4.55328i) q^{13} +(-2.44285 - 2.32925i) q^{14} +(-1.42888 + 0.223156i) q^{15} +(-0.327068 - 0.945001i) q^{16} +(2.81051 - 6.15416i) q^{17} +(-2.85714 + 0.914743i) q^{18} +(1.29911 + 2.84465i) q^{19} +(-0.775154 - 0.310325i) q^{20} +(-5.66434 + 1.44709i) q^{21} +(1.14415 + 1.98173i) q^{22} +(3.19053 + 3.58058i) q^{23} +(-1.68805 - 0.387909i) q^{24} +(3.82451 - 1.97167i) q^{25} +(0.685713 + 4.76924i) q^{26} +(-1.28165 + 5.03561i) q^{27} +(-3.23862 - 0.950944i) q^{28} +(-6.11245 - 8.58374i) q^{29} +(-1.16778 + 0.853100i) q^{30} +(4.24974 - 1.70134i) q^{31} +(-0.723734 - 0.690079i) q^{32} +(3.96096 + 0.140575i) q^{33} +(-0.321918 - 6.75789i) q^{34} +(-2.37090 + 1.52368i) q^{35} +(-2.12037 + 2.12227i) q^{36} +(10.1097 - 2.96848i) q^{37} +(2.45819 + 1.93314i) q^{38} +(7.63282 + 3.37456i) q^{39} +(-0.831184 + 0.0793684i) q^{40} +(-1.55510 - 6.41022i) q^{41} +(-4.37157 + 3.88178i) q^{42} +(-1.12842 - 0.451751i) q^{43} +(1.92504 + 1.23715i) q^{44} +(0.179819 + 2.49843i) q^{45} +(4.47657 + 1.72056i) q^{46} +(-3.09441 + 5.35967i) q^{47} +(-1.67815 + 0.428724i) q^{48} +(-3.45308 + 2.71553i) q^{49} +(2.49589 - 3.50499i) q^{50} +(-10.2186 - 5.73567i) q^{51} +(2.79488 + 3.92486i) q^{52} +(-8.01652 + 9.25156i) q^{53} +(1.16827 + 5.06312i) q^{54} +(1.83326 - 0.538292i) q^{55} +(-3.31435 + 0.638788i) q^{56} +(5.09681 - 1.83352i) q^{57} +(-9.36626 - 4.82864i) q^{58} +(2.75125 - 7.94920i) q^{59} +(-0.647054 + 1.29337i) q^{60} +(9.72258 + 7.64592i) q^{61} +(2.99772 - 3.45955i) q^{62} +(1.68368 + 9.98507i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(4.00488 + 0.382419i) q^{65} +(3.58506 - 1.69007i) q^{66} +(-0.245875 + 5.16156i) q^{67} +(-3.38278 - 5.85914i) q^{68} +(6.63891 - 4.99248i) q^{69} +(-1.40915 + 2.44071i) q^{70} +(3.46698 + 2.22810i) q^{71} +(-0.912176 + 2.85796i) q^{72} +(-0.979365 - 2.14451i) q^{73} +(7.62564 - 7.27103i) q^{74} +(-2.85358 - 6.88478i) q^{75} +(3.07074 + 0.591837i) q^{76} +(7.17053 - 2.87065i) q^{77} +(8.33063 - 0.498135i) q^{78} +(0.0200833 - 0.00387073i) q^{79} +(-0.702417 + 0.451416i) q^{80} +(8.50765 + 2.93597i) q^{81} +(-4.31956 - 4.98504i) q^{82} +(0.182557 - 0.752511i) q^{83} +(-2.10687 + 5.45343i) q^{84} +(-5.54691 - 1.06908i) q^{85} +(-1.20998 + 0.115539i) q^{86} +(-15.6947 + 9.31687i) q^{87} +(2.27794 + 0.217517i) q^{88} +(0.395747 + 2.75248i) q^{89} +(1.30468 + 2.13830i) q^{90} +16.2634 q^{91} +(4.76734 - 0.521986i) q^{92} +(-2.32585 - 7.57990i) q^{93} +(-0.294476 + 6.18180i) q^{94} +(2.05250 - 1.61410i) q^{95} +(-1.29515 + 1.15004i) q^{96} +(0.839000 - 0.799985i) q^{97} +(-1.82489 + 3.99595i) q^{98} +(0.811933 - 6.81672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.888835 0.458227i 0.628502 0.324015i
\(3\) 0.143725 1.72608i 0.0829797 0.996551i
\(4\) 0.580057 0.814576i 0.290028 0.407288i
\(5\) −0.196850 0.811428i −0.0880341 0.362882i 0.910706 0.413054i \(-0.135538\pi\)
−0.998741 + 0.0501726i \(0.984023\pi\)
\(6\) −0.663187 1.60006i −0.270745 0.653221i
\(7\) −1.10397 3.18970i −0.417260 1.20559i −0.936409 0.350910i \(-0.885872\pi\)
0.519149 0.854684i \(-0.326249\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −2.95869 0.496161i −0.986229 0.165387i
\(10\) −0.546785 0.631024i −0.172909 0.199547i
\(11\) 0.108882 + 2.28571i 0.0328291 + 0.689167i 0.953963 + 0.299923i \(0.0969609\pi\)
−0.921134 + 0.389245i \(0.872736\pi\)
\(12\) −1.32265 1.11830i −0.381817 0.322825i
\(13\) −1.57591 + 4.55328i −0.437078 + 1.26285i 0.484545 + 0.874766i \(0.338985\pi\)
−0.921623 + 0.388087i \(0.873136\pi\)
\(14\) −2.44285 2.32925i −0.652879 0.622519i
\(15\) −1.42888 + 0.223156i −0.368935 + 0.0576187i
\(16\) −0.327068 0.945001i −0.0817670 0.236250i
\(17\) 2.81051 6.15416i 0.681649 1.49260i −0.179237 0.983806i \(-0.557363\pi\)
0.860886 0.508798i \(-0.169910\pi\)
\(18\) −2.85714 + 0.914743i −0.673434 + 0.215607i
\(19\) 1.29911 + 2.84465i 0.298036 + 0.652608i 0.998109 0.0614629i \(-0.0195766\pi\)
−0.700073 + 0.714071i \(0.746849\pi\)
\(20\) −0.775154 0.310325i −0.173330 0.0693908i
\(21\) −5.66434 + 1.44709i −1.23606 + 0.315781i
\(22\) 1.14415 + 1.98173i 0.243934 + 0.422506i
\(23\) 3.19053 + 3.58058i 0.665271 + 0.746602i
\(24\) −1.68805 0.387909i −0.344573 0.0791815i
\(25\) 3.82451 1.97167i 0.764902 0.394335i
\(26\) 0.685713 + 4.76924i 0.134479 + 0.935325i
\(27\) −1.28165 + 5.03561i −0.246654 + 0.969104i
\(28\) −3.23862 0.950944i −0.612041 0.179711i
\(29\) −6.11245 8.58374i −1.13505 1.59396i −0.735920 0.677068i \(-0.763250\pi\)
−0.399134 0.916893i \(-0.630689\pi\)
\(30\) −1.16778 + 0.853100i −0.213207 + 0.155754i
\(31\) 4.24974 1.70134i 0.763276 0.305570i 0.0428315 0.999082i \(-0.486362\pi\)
0.720444 + 0.693513i \(0.243938\pi\)
\(32\) −0.723734 0.690079i −0.127939 0.121990i
\(33\) 3.96096 + 0.140575i 0.689515 + 0.0244710i
\(34\) −0.321918 6.75789i −0.0552085 1.15897i
\(35\) −2.37090 + 1.52368i −0.400755 + 0.257549i
\(36\) −2.12037 + 2.12227i −0.353395 + 0.353712i
\(37\) 10.1097 2.96848i 1.66203 0.488015i 0.690182 0.723636i \(-0.257530\pi\)
0.971845 + 0.235621i \(0.0757122\pi\)
\(38\) 2.45819 + 1.93314i 0.398771 + 0.313597i
\(39\) 7.63282 + 3.37456i 1.22223 + 0.540361i
\(40\) −0.831184 + 0.0793684i −0.131422 + 0.0125492i
\(41\) −1.55510 6.41022i −0.242866 1.00111i −0.954418 0.298474i \(-0.903522\pi\)
0.711551 0.702634i \(-0.247993\pi\)
\(42\) −4.37157 + 3.88178i −0.674548 + 0.598971i
\(43\) −1.12842 0.451751i −0.172082 0.0688913i 0.284022 0.958818i \(-0.408331\pi\)
−0.456104 + 0.889927i \(0.650755\pi\)
\(44\) 1.92504 + 1.23715i 0.290211 + 0.186507i
\(45\) 0.179819 + 2.49843i 0.0268059 + 0.372444i
\(46\) 4.47657 + 1.72056i 0.660034 + 0.253683i
\(47\) −3.09441 + 5.35967i −0.451366 + 0.781788i −0.998471 0.0552755i \(-0.982396\pi\)
0.547106 + 0.837064i \(0.315730\pi\)
\(48\) −1.67815 + 0.428724i −0.242220 + 0.0618810i
\(49\) −3.45308 + 2.71553i −0.493297 + 0.387933i
\(50\) 2.49589 3.50499i 0.352972 0.495680i
\(51\) −10.2186 5.73567i −1.43089 0.803154i
\(52\) 2.79488 + 3.92486i 0.387580 + 0.544280i
\(53\) −8.01652 + 9.25156i −1.10115 + 1.27080i −0.141402 + 0.989952i \(0.545161\pi\)
−0.959752 + 0.280848i \(0.909384\pi\)
\(54\) 1.16827 + 5.06312i 0.158982 + 0.689003i
\(55\) 1.83326 0.538292i 0.247196 0.0725833i
\(56\) −3.31435 + 0.638788i −0.442898 + 0.0853616i
\(57\) 5.09681 1.83352i 0.675089 0.242855i
\(58\) −9.36626 4.82864i −1.22985 0.634032i
\(59\) 2.75125 7.94920i 0.358182 1.03490i −0.611651 0.791128i \(-0.709494\pi\)
0.969833 0.243771i \(-0.0783844\pi\)
\(60\) −0.647054 + 1.29337i −0.0835343 + 0.166974i
\(61\) 9.72258 + 7.64592i 1.24485 + 0.978960i 0.999956 + 0.00941036i \(0.00299546\pi\)
0.244894 + 0.969550i \(0.421247\pi\)
\(62\) 2.99772 3.45955i 0.380711 0.439364i
\(63\) 1.68368 + 9.98507i 0.212124 + 1.25800i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 4.00488 + 0.382419i 0.496744 + 0.0474333i
\(66\) 3.58506 1.69007i 0.441290 0.208033i
\(67\) −0.245875 + 5.16156i −0.0300384 + 0.630584i 0.932782 + 0.360441i \(0.117374\pi\)
−0.962820 + 0.270143i \(0.912929\pi\)
\(68\) −3.38278 5.85914i −0.410222 0.710525i
\(69\) 6.63891 4.99248i 0.799231 0.601023i
\(70\) −1.40915 + 2.44071i −0.168425 + 0.291721i
\(71\) 3.46698 + 2.22810i 0.411455 + 0.264426i 0.729953 0.683497i \(-0.239542\pi\)
−0.318498 + 0.947924i \(0.603178\pi\)
\(72\) −0.912176 + 2.85796i −0.107501 + 0.336814i
\(73\) −0.979365 2.14451i −0.114626 0.250996i 0.843620 0.536940i \(-0.180420\pi\)
−0.958246 + 0.285944i \(0.907693\pi\)
\(74\) 7.62564 7.27103i 0.886462 0.845240i
\(75\) −2.85358 6.88478i −0.329503 0.794986i
\(76\) 3.07074 + 0.591837i 0.352238 + 0.0678884i
\(77\) 7.17053 2.87065i 0.817158 0.327141i
\(78\) 8.33063 0.498135i 0.943258 0.0564027i
\(79\) 0.0200833 0.00387073i 0.00225955 0.000435492i −0.188121 0.982146i \(-0.560240\pi\)
0.190381 + 0.981710i \(0.439028\pi\)
\(80\) −0.702417 + 0.451416i −0.0785326 + 0.0504698i
\(81\) 8.50765 + 2.93597i 0.945294 + 0.326219i
\(82\) −4.31956 4.98504i −0.477016 0.550506i
\(83\) 0.182557 0.752511i 0.0200383 0.0825988i −0.960914 0.276845i \(-0.910711\pi\)
0.980953 + 0.194247i \(0.0622262\pi\)
\(84\) −2.10687 + 5.45343i −0.229879 + 0.595018i
\(85\) −5.54691 1.06908i −0.601647 0.115958i
\(86\) −1.20998 + 0.115539i −0.130476 + 0.0124589i
\(87\) −15.6947 + 9.31687i −1.68265 + 0.998873i
\(88\) 2.27794 + 0.217517i 0.242829 + 0.0231874i
\(89\) 0.395747 + 2.75248i 0.0419491 + 0.291763i 0.999987 + 0.00512057i \(0.00162994\pi\)
−0.958038 + 0.286642i \(0.907461\pi\)
\(90\) 1.30468 + 2.13830i 0.137525 + 0.225396i
\(91\) 16.2634 1.70486
\(92\) 4.76734 0.521986i 0.497030 0.0544208i
\(93\) −2.32585 7.57990i −0.241179 0.786000i
\(94\) −0.294476 + 6.18180i −0.0303728 + 0.637604i
\(95\) 2.05250 1.61410i 0.210582 0.165604i
\(96\) −1.29515 + 1.15004i −0.132186 + 0.117375i
\(97\) 0.839000 0.799985i 0.0851875 0.0812261i −0.646289 0.763093i \(-0.723680\pi\)
0.731477 + 0.681867i \(0.238832\pi\)
\(98\) −1.82489 + 3.99595i −0.184342 + 0.403652i
\(99\) 0.811933 6.81672i 0.0816023 0.685106i
\(100\) 0.612357 4.25904i 0.0612357 0.425904i
\(101\) 1.97493 8.14077i 0.196513 0.810037i −0.785133 0.619327i \(-0.787406\pi\)
0.981646 0.190711i \(-0.0610792\pi\)
\(102\) −11.7109 0.415622i −1.15955 0.0411528i
\(103\) 14.7659 + 7.61237i 1.45493 + 0.750069i 0.990754 0.135674i \(-0.0433199\pi\)
0.464177 + 0.885743i \(0.346350\pi\)
\(104\) 4.28266 + 2.20787i 0.419949 + 0.216499i
\(105\) 2.28924 + 4.31134i 0.223407 + 0.420744i
\(106\) −2.88606 + 11.8965i −0.280319 + 1.15549i
\(107\) −2.52418 + 17.5560i −0.244021 + 1.69721i 0.387517 + 0.921862i \(0.373333\pi\)
−0.631539 + 0.775344i \(0.717576\pi\)
\(108\) 3.35846 + 3.96494i 0.323168 + 0.381527i
\(109\) −6.44499 + 14.1125i −0.617318 + 1.35174i 0.300137 + 0.953896i \(0.402968\pi\)
−0.917454 + 0.397841i \(0.869760\pi\)
\(110\) 1.38280 1.31850i 0.131845 0.125714i
\(111\) −3.67081 17.8768i −0.348418 1.69679i
\(112\) −2.65320 + 2.08650i −0.250704 + 0.197156i
\(113\) 0.0662131 1.38998i 0.00622881 0.130759i −0.993611 0.112859i \(-0.963999\pi\)
0.999840 0.0178995i \(-0.00569790\pi\)
\(114\) 3.69006 3.96519i 0.345605 0.371374i
\(115\) 2.27733 3.29372i 0.212362 0.307141i
\(116\) −10.5377 −0.978399
\(117\) 6.92177 12.6898i 0.639918 1.17318i
\(118\) −1.19713 8.32623i −0.110205 0.766491i
\(119\) −22.7327 2.17071i −2.08390 0.198988i
\(120\) 0.0175342 + 1.44609i 0.00160064 + 0.132010i
\(121\) 5.73758 0.547872i 0.521598 0.0498066i
\(122\) 12.1453 + 2.34082i 1.09959 + 0.211928i
\(123\) −11.2880 + 1.76292i −1.01781 + 0.158957i
\(124\) 1.07922 4.44861i 0.0969169 0.399497i
\(125\) −5.08665 5.87031i −0.454964 0.525057i
\(126\) 6.07194 + 8.10357i 0.540932 + 0.721924i
\(127\) −15.2477 + 9.79911i −1.35302 + 0.869530i −0.997867 0.0652796i \(-0.979206\pi\)
−0.355148 + 0.934810i \(0.615570\pi\)
\(128\) −0.981929 + 0.189251i −0.0867911 + 0.0167276i
\(129\) −0.941939 + 1.88281i −0.0829331 + 0.165772i
\(130\) 3.73491 1.49523i 0.327573 0.131141i
\(131\) −1.78131 0.343320i −0.155634 0.0299960i 0.110839 0.993838i \(-0.464646\pi\)
−0.266473 + 0.963842i \(0.585858\pi\)
\(132\) 2.41209 3.14496i 0.209946 0.273734i
\(133\) 7.63942 7.28417i 0.662422 0.631618i
\(134\) 2.14662 + 4.70044i 0.185440 + 0.406056i
\(135\) 4.33833 + 0.0487047i 0.373384 + 0.00419183i
\(136\) −5.69155 3.65773i −0.488046 0.313648i
\(137\) −1.92446 + 3.33327i −0.164418 + 0.284780i −0.936448 0.350805i \(-0.885908\pi\)
0.772031 + 0.635585i \(0.219241\pi\)
\(138\) 3.61322 7.47962i 0.307578 0.636707i
\(139\) 6.11028 + 10.5833i 0.518267 + 0.897665i 0.999775 + 0.0212231i \(0.00675603\pi\)
−0.481508 + 0.876442i \(0.659911\pi\)
\(140\) −0.134100 + 2.81510i −0.0113335 + 0.237919i
\(141\) 8.80646 + 6.11150i 0.741638 + 0.514681i
\(142\) 4.10255 + 0.391746i 0.344279 + 0.0328746i
\(143\) −10.5791 3.10629i −0.884666 0.259761i
\(144\) 0.498819 + 2.95824i 0.0415682 + 0.246520i
\(145\) −5.76185 + 6.64953i −0.478496 + 0.552213i
\(146\) −1.85317 1.45735i −0.153369 0.120611i
\(147\) 4.19092 + 6.35057i 0.345662 + 0.523786i
\(148\) 3.44616 9.95702i 0.283272 0.818462i
\(149\) 1.25878 + 0.648945i 0.103123 + 0.0531637i 0.509016 0.860757i \(-0.330009\pi\)
−0.405893 + 0.913920i \(0.633040\pi\)
\(150\) −5.69115 4.81185i −0.464681 0.392886i
\(151\) −17.7372 + 3.41856i −1.44343 + 0.278198i −0.850040 0.526718i \(-0.823422\pi\)
−0.593389 + 0.804916i \(0.702210\pi\)
\(152\) 3.00058 0.881050i 0.243379 0.0714626i
\(153\) −11.3689 + 16.8138i −0.919120 + 1.35931i
\(154\) 5.05801 5.83726i 0.407586 0.470380i
\(155\) −2.21708 3.11345i −0.178080 0.250078i
\(156\) 7.17630 4.26008i 0.574564 0.341079i
\(157\) −8.83716 + 12.4101i −0.705282 + 0.990431i 0.294117 + 0.955770i \(0.404975\pi\)
−0.999399 + 0.0346610i \(0.988965\pi\)
\(158\) 0.0160771 0.0126431i 0.00127902 0.00100583i
\(159\) 14.8167 + 15.1668i 1.17504 + 1.20281i
\(160\) −0.417482 + 0.723100i −0.0330049 + 0.0571661i
\(161\) 7.89874 14.1297i 0.622508 1.11357i
\(162\) 8.90724 1.28884i 0.699819 0.101261i
\(163\) −5.79117 3.72176i −0.453599 0.291511i 0.293823 0.955860i \(-0.405072\pi\)
−0.747422 + 0.664349i \(0.768709\pi\)
\(164\) −6.12366 2.45154i −0.478178 0.191433i
\(165\) −0.665650 3.24171i −0.0518208 0.252367i
\(166\) −0.182557 0.752511i −0.0141692 0.0584062i
\(167\) 5.18050 0.494678i 0.400879 0.0382793i 0.107330 0.994223i \(-0.465770\pi\)
0.293549 + 0.955944i \(0.405164\pi\)
\(168\) 0.626243 + 5.81263i 0.0483157 + 0.448454i
\(169\) −8.03020 6.31502i −0.617708 0.485771i
\(170\) −5.42017 + 1.59151i −0.415708 + 0.122063i
\(171\) −2.43225 9.06100i −0.185999 0.692912i
\(172\) −1.02253 + 0.657142i −0.0779674 + 0.0501066i
\(173\) −0.485296 10.1876i −0.0368964 0.774550i −0.939184 0.343415i \(-0.888416\pi\)
0.902287 0.431135i \(-0.141887\pi\)
\(174\) −9.68078 + 15.4729i −0.733898 + 1.17300i
\(175\) −10.5112 10.0224i −0.794570 0.757621i
\(176\) 2.12439 0.850476i 0.160132 0.0641070i
\(177\) −13.3255 5.89136i −1.00161 0.442822i
\(178\) 1.61301 + 2.26516i 0.120901 + 0.169781i
\(179\) −10.4959 3.08189i −0.784503 0.230351i −0.135137 0.990827i \(-0.543148\pi\)
−0.649366 + 0.760476i \(0.724966\pi\)
\(180\) 2.13947 + 1.30276i 0.159466 + 0.0971016i
\(181\) −0.646313 4.49520i −0.0480401 0.334126i −0.999641 0.0267898i \(-0.991472\pi\)
0.951601 0.307336i \(-0.0994376\pi\)
\(182\) 14.4554 7.45230i 1.07151 0.552401i
\(183\) 14.5948 15.6830i 1.07888 1.15932i
\(184\) 3.99819 2.64848i 0.294751 0.195249i
\(185\) −4.39881 7.61896i −0.323407 0.560157i
\(186\) −5.54061 5.67152i −0.406257 0.415856i
\(187\) 14.3726 + 5.75394i 1.05103 + 0.420770i
\(188\) 2.57093 + 5.62954i 0.187504 + 0.410577i
\(189\) 17.4770 1.47107i 1.27126 0.107004i
\(190\) 1.08471 2.37518i 0.0786932 0.172314i
\(191\) −3.67259 10.6112i −0.265739 0.767803i −0.996378 0.0850383i \(-0.972899\pi\)
0.730639 0.682764i \(-0.239222\pi\)
\(192\) −0.624195 + 1.61567i −0.0450474 + 0.116601i
\(193\) −10.7224 10.2238i −0.771814 0.735923i 0.197885 0.980225i \(-0.436593\pi\)
−0.969699 + 0.244302i \(0.921441\pi\)
\(194\) 0.379159 1.09551i 0.0272220 0.0786528i
\(195\) 1.23569 6.85777i 0.0884894 0.491095i
\(196\) 0.209024 + 4.38796i 0.0149303 + 0.313426i
\(197\) 8.51414 + 9.82585i 0.606608 + 0.700063i 0.973106 0.230356i \(-0.0739891\pi\)
−0.366499 + 0.930419i \(0.619444\pi\)
\(198\) −2.40193 6.43099i −0.170698 0.457031i
\(199\) −0.927731 + 6.45251i −0.0657651 + 0.457406i 0.930155 + 0.367167i \(0.119672\pi\)
−0.995920 + 0.0902393i \(0.971237\pi\)
\(200\) −1.40732 4.06618i −0.0995125 0.287523i
\(201\) 8.87391 + 1.16624i 0.625917 + 0.0822605i
\(202\) −1.97493 8.14077i −0.138956 0.572783i
\(203\) −20.6316 + 28.9731i −1.44806 + 2.03351i
\(204\) −10.5995 + 4.99683i −0.742115 + 0.349848i
\(205\) −4.89531 + 2.52371i −0.341903 + 0.176263i
\(206\) 16.6127 1.15746
\(207\) −7.66322 12.1768i −0.532631 0.846348i
\(208\) 4.81828 0.334088
\(209\) −6.36060 + 3.27912i −0.439972 + 0.226821i
\(210\) 4.01033 + 2.78308i 0.276739 + 0.192051i
\(211\) 9.35622 13.1390i 0.644109 0.904524i −0.355436 0.934701i \(-0.615668\pi\)
0.999545 + 0.0301767i \(0.00960701\pi\)
\(212\) 2.88606 + 11.8965i 0.198215 + 0.817055i
\(213\) 4.34416 5.66405i 0.297657 0.388094i
\(214\) 5.80107 + 16.7611i 0.396553 + 1.14576i
\(215\) −0.144434 + 1.00456i −0.00985029 + 0.0685103i
\(216\) 4.80196 + 1.98525i 0.326732 + 0.135079i
\(217\) −10.1183 11.6772i −0.686877 0.792699i
\(218\) 0.738213 + 15.4970i 0.0499981 + 1.04959i
\(219\) −3.84235 + 1.38224i −0.259642 + 0.0934031i
\(220\) 0.624913 1.80557i 0.0421316 0.121731i
\(221\) 23.5925 + 22.4954i 1.58701 + 1.51321i
\(222\) −11.4544 14.2075i −0.768767 0.953543i
\(223\) 4.07080 + 11.7618i 0.272601 + 0.787629i 0.995333 + 0.0965006i \(0.0307650\pi\)
−0.722732 + 0.691129i \(0.757114\pi\)
\(224\) −1.40217 + 3.07032i −0.0936863 + 0.205144i
\(225\) −12.2938 + 3.93599i −0.819587 + 0.262399i
\(226\) −0.578075 1.26581i −0.0384530 0.0842003i
\(227\) 2.22910 + 0.892399i 0.147951 + 0.0592306i 0.444456 0.895801i \(-0.353397\pi\)
−0.296505 + 0.955031i \(0.595821\pi\)
\(228\) 1.46290 5.21528i 0.0968829 0.345390i
\(229\) −1.81593 3.14528i −0.120000 0.207846i 0.799767 0.600310i \(-0.204956\pi\)
−0.919767 + 0.392464i \(0.871623\pi\)
\(230\) 0.514898 3.97111i 0.0339514 0.261847i
\(231\) −3.92437 12.7895i −0.258205 0.841485i
\(232\) −9.36626 + 4.82864i −0.614925 + 0.317016i
\(233\) 0.203631 + 1.41628i 0.0133403 + 0.0927838i 0.995404 0.0957665i \(-0.0305302\pi\)
−0.982064 + 0.188550i \(0.939621\pi\)
\(234\) 0.337500 14.4509i 0.0220631 0.944686i
\(235\) 4.95812 + 1.45584i 0.323432 + 0.0949682i
\(236\) −4.87935 6.85209i −0.317619 0.446033i
\(237\) −0.00379472 0.0352216i −0.000246493 0.00228789i
\(238\) −21.2003 + 8.48731i −1.37421 + 0.550150i
\(239\) −15.1443 14.4401i −0.979605 0.934052i 0.0182287 0.999834i \(-0.494197\pi\)
−0.997834 + 0.0657820i \(0.979046\pi\)
\(240\) 0.678224 + 1.27731i 0.0437792 + 0.0824497i
\(241\) −0.821734 17.2503i −0.0529325 1.11119i −0.856557 0.516053i \(-0.827401\pi\)
0.803624 0.595137i \(-0.202902\pi\)
\(242\) 4.84871 3.11608i 0.311687 0.200309i
\(243\) 6.29047 14.2629i 0.403534 0.914965i
\(244\) 11.8678 3.48471i 0.759760 0.223086i
\(245\) 2.88320 + 2.26737i 0.184201 + 0.144857i
\(246\) −9.22540 + 6.73943i −0.588190 + 0.429690i
\(247\) −14.9998 + 1.43231i −0.954413 + 0.0911354i
\(248\) −1.07922 4.44861i −0.0685306 0.282487i
\(249\) −1.27265 0.423262i −0.0806512 0.0268232i
\(250\) −7.21113 2.88690i −0.456072 0.182584i
\(251\) 11.3922 + 7.32132i 0.719069 + 0.462118i 0.848313 0.529495i \(-0.177619\pi\)
−0.129244 + 0.991613i \(0.541255\pi\)
\(252\) 9.11023 + 4.42042i 0.573891 + 0.278460i
\(253\) −7.83677 + 7.68248i −0.492694 + 0.482993i
\(254\) −9.06249 + 15.6967i −0.568631 + 0.984899i
\(255\) −2.64254 + 9.42074i −0.165483 + 0.589950i
\(256\) −0.786053 + 0.618159i −0.0491283 + 0.0386349i
\(257\) 5.36536 7.53460i 0.334682 0.469995i −0.612601 0.790392i \(-0.709877\pi\)
0.947283 + 0.320397i \(0.103816\pi\)
\(258\) 0.0255251 + 2.10513i 0.00158912 + 0.131060i
\(259\) −20.6294 28.9699i −1.28185 1.80010i
\(260\) 2.63457 3.04045i 0.163389 0.188561i
\(261\) 13.8259 + 28.4294i 0.855803 + 1.75973i
\(262\) −1.74061 + 0.511090i −0.107535 + 0.0315753i
\(263\) 4.30763 0.830228i 0.265620 0.0511941i −0.0547022 0.998503i \(-0.517421\pi\)
0.320322 + 0.947309i \(0.396209\pi\)
\(264\) 0.702848 3.90064i 0.0432573 0.240068i
\(265\) 9.08503 + 4.68366i 0.558089 + 0.287715i
\(266\) 3.45239 9.97502i 0.211679 0.611607i
\(267\) 4.80788 0.287490i 0.294237 0.0175941i
\(268\) 4.06186 + 3.19428i 0.248117 + 0.195122i
\(269\) −1.37635 + 1.58840i −0.0839178 + 0.0968463i −0.796156 0.605092i \(-0.793136\pi\)
0.712238 + 0.701938i \(0.247682\pi\)
\(270\) 3.87838 1.94465i 0.236031 0.118347i
\(271\) −11.6089 3.40867i −0.705188 0.207062i −0.0905737 0.995890i \(-0.528870\pi\)
−0.614614 + 0.788828i \(0.710688\pi\)
\(272\) −6.73492 0.643107i −0.408364 0.0389941i
\(273\) 2.33745 28.0718i 0.141469 1.69898i
\(274\) −0.183139 + 3.84456i −0.0110638 + 0.232259i
\(275\) 4.92309 + 8.52705i 0.296874 + 0.514200i
\(276\) −0.215802 8.30382i −0.0129898 0.499831i
\(277\) 6.71408 11.6291i 0.403410 0.698726i −0.590725 0.806873i \(-0.701158\pi\)
0.994135 + 0.108147i \(0.0344916\pi\)
\(278\) 10.2806 + 6.60693i 0.616589 + 0.396257i
\(279\) −13.4178 + 2.92517i −0.803302 + 0.175126i
\(280\) 1.17076 + 2.56361i 0.0699663 + 0.153205i
\(281\) −3.39677 + 3.23881i −0.202634 + 0.193211i −0.784601 0.620002i \(-0.787132\pi\)
0.581967 + 0.813213i \(0.302283\pi\)
\(282\) 10.6279 + 1.39677i 0.632885 + 0.0831763i
\(283\) 7.76698 + 1.49696i 0.461699 + 0.0889852i 0.414796 0.909914i \(-0.363853\pi\)
0.0469026 + 0.998899i \(0.485065\pi\)
\(284\) 3.82600 1.53170i 0.227031 0.0908897i
\(285\) −2.49107 3.77476i −0.147558 0.223598i
\(286\) −10.8264 + 2.08662i −0.640181 + 0.123385i
\(287\) −18.7299 + 12.0370i −1.10559 + 0.710521i
\(288\) 1.79891 + 2.40082i 0.106002 + 0.141469i
\(289\) −18.8421 21.7450i −1.10836 1.27912i
\(290\) −2.07435 + 8.55057i −0.121810 + 0.502107i
\(291\) −1.26025 1.56316i −0.0738772 0.0916338i
\(292\) −2.31495 0.446171i −0.135472 0.0261102i
\(293\) 5.51135 0.526270i 0.321976 0.0307450i 0.0671834 0.997741i \(-0.478599\pi\)
0.254793 + 0.966996i \(0.417993\pi\)
\(294\) 6.63504 + 3.72422i 0.386963 + 0.217201i
\(295\) −6.99179 0.667635i −0.407078 0.0388712i
\(296\) −1.49950 10.4293i −0.0871568 0.606189i
\(297\) −11.6495 2.38119i −0.675972 0.138171i
\(298\) 1.41621 0.0820389
\(299\) −21.3314 + 8.88471i −1.23362 + 0.513816i
\(300\) −7.26342 1.66911i −0.419354 0.0963659i
\(301\) −0.195214 + 4.09804i −0.0112519 + 0.236207i
\(302\) −14.1989 + 11.1662i −0.817057 + 0.642541i
\(303\) −13.7678 4.57892i −0.790937 0.263052i
\(304\) 2.26330 2.15805i 0.129809 0.123773i
\(305\) 4.29022 9.39428i 0.245657 0.537915i
\(306\) −2.40055 + 20.1542i −0.137230 + 1.15214i
\(307\) −0.514206 + 3.57638i −0.0293473 + 0.204115i −0.999220 0.0394990i \(-0.987424\pi\)
0.969872 + 0.243614i \(0.0783329\pi\)
\(308\) 1.82096 7.50608i 0.103759 0.427699i
\(309\) 15.2618 24.3930i 0.868212 1.38767i
\(310\) −3.39728 1.75142i −0.192953 0.0994740i
\(311\) 19.0760 + 9.83436i 1.08170 + 0.557655i 0.904480 0.426516i \(-0.140259\pi\)
0.177220 + 0.984171i \(0.443290\pi\)
\(312\) 4.42647 7.07488i 0.250600 0.400536i
\(313\) 5.64539 23.2706i 0.319096 1.31533i −0.555919 0.831236i \(-0.687634\pi\)
0.875015 0.484095i \(-0.160851\pi\)
\(314\) −2.16817 + 15.0799i −0.122357 + 0.851009i
\(315\) 7.77073 3.33175i 0.437831 0.187723i
\(316\) 0.00849644 0.0186046i 0.000477962 0.00104659i
\(317\) −22.4455 + 21.4018i −1.26067 + 1.20204i −0.291243 + 0.956649i \(0.594069\pi\)
−0.969424 + 0.245393i \(0.921083\pi\)
\(318\) 20.1195 + 6.69139i 1.12824 + 0.375234i
\(319\) 18.9544 14.9059i 1.06124 0.834571i
\(320\) −0.0397292 + 0.834019i −0.00222093 + 0.0466231i
\(321\) 29.9403 + 6.88017i 1.67110 + 0.384014i
\(322\) 0.546097 16.1784i 0.0304328 0.901585i
\(323\) 21.1576 1.17724
\(324\) 7.32649 5.22710i 0.407027 0.290394i
\(325\) 2.95051 + 20.5213i 0.163665 + 1.13831i
\(326\) −6.85280 0.654363i −0.379542 0.0362418i
\(327\) 23.4330 + 13.1529i 1.29585 + 0.727355i
\(328\) −6.56629 + 0.627005i −0.362563 + 0.0346205i
\(329\) 20.5119 + 3.95334i 1.13086 + 0.217955i
\(330\) −2.07709 2.57633i −0.114340 0.141822i
\(331\) −7.57425 + 31.2215i −0.416318 + 1.71609i 0.248107 + 0.968733i \(0.420192\pi\)
−0.664425 + 0.747355i \(0.731323\pi\)
\(332\) −0.507084 0.585206i −0.0278298 0.0321173i
\(333\) −31.3843 + 3.76676i −1.71985 + 0.206417i
\(334\) 4.37794 2.81353i 0.239550 0.153949i
\(335\) 4.23663 0.816544i 0.231472 0.0446125i
\(336\) 3.22013 + 4.87951i 0.175672 + 0.266199i
\(337\) 7.50887 3.00610i 0.409034 0.163753i −0.158015 0.987437i \(-0.550509\pi\)
0.567049 + 0.823684i \(0.308085\pi\)
\(338\) −10.0312 1.93336i −0.545628 0.105161i
\(339\) −2.38971 0.314065i −0.129791 0.0170576i
\(340\) −4.08837 + 3.89825i −0.221723 + 0.211412i
\(341\) 4.35149 + 9.52843i 0.235646 + 0.515993i
\(342\) −6.31386 6.93922i −0.341415 0.375230i
\(343\) −7.40281 4.75750i −0.399714 0.256881i
\(344\) −0.607743 + 1.05264i −0.0327673 + 0.0567547i
\(345\) −5.35791 4.40423i −0.288460 0.237116i
\(346\) −5.09958 8.83274i −0.274155 0.474851i
\(347\) 0.540214 11.3405i 0.0290002 0.608789i −0.936857 0.349713i \(-0.886279\pi\)
0.965857 0.259076i \(-0.0834180\pi\)
\(348\) −1.51453 + 18.1889i −0.0811872 + 0.975025i
\(349\) 15.4931 + 1.47941i 0.829328 + 0.0791912i 0.501081 0.865401i \(-0.332936\pi\)
0.328247 + 0.944592i \(0.393542\pi\)
\(350\) −13.9352 4.09175i −0.744870 0.218713i
\(351\) −20.9088 13.7714i −1.11603 0.735061i
\(352\) 1.49852 1.72938i 0.0798713 0.0921764i
\(353\) 8.44866 + 6.64410i 0.449677 + 0.353630i 0.817170 0.576396i \(-0.195541\pi\)
−0.367493 + 0.930026i \(0.619784\pi\)
\(354\) −14.5438 + 0.869653i −0.772993 + 0.0462216i
\(355\) 1.12546 3.25181i 0.0597333 0.172588i
\(356\) 2.47166 + 1.27423i 0.130998 + 0.0675341i
\(357\) −7.01406 + 38.9263i −0.371223 + 2.06020i
\(358\) −10.7414 + 2.07023i −0.567699 + 0.109415i
\(359\) 0.490808 0.144114i 0.0259039 0.00760606i −0.268755 0.963209i \(-0.586612\pi\)
0.294659 + 0.955603i \(0.404794\pi\)
\(360\) 2.49859 + 0.177575i 0.131687 + 0.00935900i
\(361\) 6.03799 6.96821i 0.317789 0.366748i
\(362\) −2.63429 3.69934i −0.138455 0.194433i
\(363\) −0.121037 9.98224i −0.00635277 0.523932i
\(364\) 9.43367 13.2477i 0.494459 0.694370i
\(365\) −1.54733 + 1.21683i −0.0809908 + 0.0636919i
\(366\) 5.78603 20.6274i 0.302441 1.07821i
\(367\) −12.9336 + 22.4017i −0.675128 + 1.16936i 0.301303 + 0.953528i \(0.402578\pi\)
−0.976431 + 0.215828i \(0.930755\pi\)
\(368\) 2.34013 4.18614i 0.121988 0.218218i
\(369\) 1.42056 + 19.7374i 0.0739514 + 1.02749i
\(370\) −7.40103 4.75635i −0.384761 0.247271i
\(371\) 38.3597 + 15.3569i 1.99154 + 0.797291i
\(372\) −7.52353 2.50220i −0.390077 0.129733i
\(373\) −0.582419 2.40077i −0.0301565 0.124307i 0.954744 0.297430i \(-0.0961294\pi\)
−0.984900 + 0.173123i \(0.944614\pi\)
\(374\) 15.4115 1.47162i 0.796911 0.0760958i
\(375\) −10.8637 + 7.93625i −0.560999 + 0.409826i
\(376\) 4.86474 + 3.82567i 0.250880 + 0.197294i
\(377\) 48.7168 14.3046i 2.50905 0.736722i
\(378\) 14.8601 9.31596i 0.764320 0.479161i
\(379\) 13.4942 8.67221i 0.693151 0.445461i −0.146054 0.989277i \(-0.546657\pi\)
0.839205 + 0.543815i \(0.183021\pi\)
\(380\) −0.124243 2.60819i −0.00637355 0.133797i
\(381\) 14.7225 + 27.7271i 0.754259 + 1.42050i
\(382\) −8.12668 7.74877i −0.415797 0.396462i
\(383\) −15.6584 + 6.26870i −0.800109 + 0.320315i −0.735439 0.677591i \(-0.763024\pi\)
−0.0646704 + 0.997907i \(0.520600\pi\)
\(384\) 0.185535 + 1.72209i 0.00946802 + 0.0878798i
\(385\) −3.74084 5.25328i −0.190651 0.267732i
\(386\) −14.2152 4.17397i −0.723536 0.212449i
\(387\) 3.11450 + 1.89647i 0.158319 + 0.0964028i
\(388\) −0.164981 1.14747i −0.00837562 0.0582537i
\(389\) −9.34753 + 4.81898i −0.473938 + 0.244332i −0.678610 0.734498i \(-0.737418\pi\)
0.204672 + 0.978831i \(0.434387\pi\)
\(390\) −2.04409 6.66165i −0.103506 0.337326i
\(391\) 31.0025 9.57176i 1.56786 0.484065i
\(392\) 2.19647 + 3.80439i 0.110938 + 0.192151i
\(393\) −0.848617 + 3.02534i −0.0428071 + 0.152608i
\(394\) 12.0701 + 4.83215i 0.608085 + 0.243440i
\(395\) −0.00709422 0.0155342i −0.000356949 0.000781609i
\(396\) −5.08177 4.61547i −0.255369 0.231936i
\(397\) −14.0141 + 30.6867i −0.703350 + 1.54012i 0.132512 + 0.991181i \(0.457696\pi\)
−0.835862 + 0.548939i \(0.815032\pi\)
\(398\) 2.13211 + 6.16033i 0.106873 + 0.308790i
\(399\) −11.4751 14.2331i −0.574472 0.712549i
\(400\) −3.11411 2.96930i −0.155705 0.148465i
\(401\) 0.606890 1.75349i 0.0303066 0.0875653i −0.928833 0.370499i \(-0.879187\pi\)
0.959139 + 0.282934i \(0.0913078\pi\)
\(402\) 8.42185 3.02966i 0.420043 0.151106i
\(403\) 1.04949 + 22.0314i 0.0522786 + 1.09746i
\(404\) −5.48571 6.33084i −0.272924 0.314971i
\(405\) 0.707594 7.48129i 0.0351606 0.371748i
\(406\) −5.06189 + 35.2062i −0.251218 + 1.74726i
\(407\) 7.88585 + 22.7847i 0.390887 + 1.12939i
\(408\) −7.13155 + 9.29834i −0.353064 + 0.460336i
\(409\) 0.783436 + 3.22937i 0.0387384 + 0.159682i 0.987895 0.155121i \(-0.0495767\pi\)
−0.949157 + 0.314803i \(0.898062\pi\)
\(410\) −3.19470 + 4.48632i −0.157775 + 0.221564i
\(411\) 5.47688 + 3.80084i 0.270155 + 0.187482i
\(412\) 14.7659 7.61237i 0.727465 0.375034i
\(413\) −28.3929 −1.39712
\(414\) −12.3911 7.31170i −0.608989 0.359351i
\(415\) −0.646545 −0.0317376
\(416\) 4.28266 2.20787i 0.209975 0.108249i
\(417\) 19.1458 9.02573i 0.937575 0.441992i
\(418\) −4.15095 + 5.82919i −0.203030 + 0.285115i
\(419\) 1.34136 + 5.52915i 0.0655295 + 0.270116i 0.995146 0.0984128i \(-0.0313766\pi\)
−0.929616 + 0.368529i \(0.879861\pi\)
\(420\) 4.83980 + 0.636066i 0.236158 + 0.0310369i
\(421\) −10.8465 31.3388i −0.528625 1.52736i −0.820926 0.571034i \(-0.806542\pi\)
0.292302 0.956326i \(-0.405579\pi\)
\(422\) 2.29551 15.9656i 0.111744 0.777196i
\(423\) 11.8146 14.3223i 0.574447 0.696372i
\(424\) 8.01652 + 9.25156i 0.389317 + 0.449296i
\(425\) −1.38516 29.0781i −0.0671901 1.41049i
\(426\) 1.26582 7.02502i 0.0613293 0.340363i
\(427\) 13.6548 39.4530i 0.660802 1.90926i
\(428\) 12.8366 + 12.2396i 0.620479 + 0.591625i
\(429\) −6.88218 + 17.8138i −0.332275 + 0.860060i
\(430\) 0.331937 + 0.959070i 0.0160074 + 0.0462505i
\(431\) −12.3034 + 26.9406i −0.592633 + 1.29768i 0.341206 + 0.939989i \(0.389165\pi\)
−0.933838 + 0.357696i \(0.883563\pi\)
\(432\) 5.17784 0.435827i 0.249119 0.0209687i
\(433\) 3.57826 + 7.83530i 0.171960 + 0.376541i 0.975915 0.218150i \(-0.0700020\pi\)
−0.803955 + 0.594690i \(0.797275\pi\)
\(434\) −14.3443 5.74260i −0.688550 0.275654i
\(435\) 10.6495 + 10.9011i 0.510603 + 0.522668i
\(436\) 7.75728 + 13.4360i 0.371507 + 0.643468i
\(437\) −6.04066 + 13.7275i −0.288964 + 0.656676i
\(438\) −2.78184 + 2.98925i −0.132921 + 0.142832i
\(439\) 7.11469 3.66788i 0.339566 0.175058i −0.280006 0.959998i \(-0.590337\pi\)
0.619572 + 0.784940i \(0.287306\pi\)
\(440\) −0.271914 1.89120i −0.0129630 0.0901596i
\(441\) 11.5639 6.32112i 0.550663 0.301006i
\(442\) 31.2779 + 9.18402i 1.48774 + 0.436839i
\(443\) 0.461928 + 0.648688i 0.0219469 + 0.0308201i 0.825404 0.564543i \(-0.190948\pi\)
−0.803457 + 0.595363i \(0.797008\pi\)
\(444\) −16.6913 7.37941i −0.792133 0.350211i
\(445\) 2.15554 0.862947i 0.102182 0.0409076i
\(446\) 9.00785 + 8.58897i 0.426534 + 0.406699i
\(447\) 1.30105 2.07948i 0.0615374 0.0983560i
\(448\) 0.160605 + 3.37152i 0.00758788 + 0.159289i
\(449\) −22.3045 + 14.3343i −1.05262 + 0.676475i −0.948076 0.318045i \(-0.896974\pi\)
−0.104541 + 0.994521i \(0.533337\pi\)
\(450\) −9.12359 + 9.13179i −0.430090 + 0.430477i
\(451\) 14.4826 4.25247i 0.681958 0.200241i
\(452\) −1.09384 0.860206i −0.0514499 0.0404607i
\(453\) 3.35142 + 31.1070i 0.157463 + 1.46154i
\(454\) 2.39023 0.228239i 0.112179 0.0107118i
\(455\) −3.20145 13.1965i −0.150086 0.618663i
\(456\) −1.08950 5.30586i −0.0510206 0.248470i
\(457\) 13.6057 + 5.44689i 0.636447 + 0.254795i 0.667369 0.744727i \(-0.267420\pi\)
−0.0309224 + 0.999522i \(0.509844\pi\)
\(458\) −3.05531 1.96353i −0.142765 0.0917498i
\(459\) 27.3879 + 22.0401i 1.27836 + 1.02875i
\(460\) −1.36201 3.76560i −0.0635039 0.175572i
\(461\) 8.63480 14.9559i 0.402163 0.696567i −0.591824 0.806067i \(-0.701592\pi\)
0.993987 + 0.109501i \(0.0349252\pi\)
\(462\) −9.34860 9.56948i −0.434936 0.445213i
\(463\) 4.17708 3.28489i 0.194125 0.152662i −0.516366 0.856368i \(-0.672715\pi\)
0.710491 + 0.703707i \(0.248473\pi\)
\(464\) −6.11245 + 8.58374i −0.283764 + 0.398490i
\(465\) −5.69270 + 3.37937i −0.263993 + 0.156714i
\(466\) 0.829973 + 1.16553i 0.0384478 + 0.0539923i
\(467\) 20.6052 23.7797i 0.953495 1.10039i −0.0413662 0.999144i \(-0.513171\pi\)
0.994861 0.101248i \(-0.0322835\pi\)
\(468\) −6.32181 12.9991i −0.292226 0.600885i
\(469\) 16.7353 4.91391i 0.772762 0.226903i
\(470\) 5.07406 0.977944i 0.234049 0.0451092i
\(471\) 20.1506 + 17.0373i 0.928491 + 0.785036i
\(472\) −7.47675 3.85453i −0.344145 0.177419i
\(473\) 0.909707 2.62843i 0.0418284 0.120855i
\(474\) −0.0195124 0.0295674i −0.000896232 0.00135807i
\(475\) 10.5772 + 8.31799i 0.485315 + 0.381656i
\(476\) −14.9544 + 17.2583i −0.685436 + 0.791035i
\(477\) 28.3086 23.3950i 1.29616 1.07118i
\(478\) −20.0777 5.89533i −0.918330 0.269646i
\(479\) 15.5348 + 1.48339i 0.709802 + 0.0677779i 0.443711 0.896170i \(-0.353662\pi\)
0.266091 + 0.963948i \(0.414268\pi\)
\(480\) 1.18812 + 0.824534i 0.0542302 + 0.0376347i
\(481\) −2.41564 + 50.7104i −0.110144 + 2.31220i
\(482\) −8.63494 14.9561i −0.393311 0.681234i
\(483\) −23.2536 15.6646i −1.05808 0.712765i
\(484\) 2.88184 4.99149i 0.130993 0.226886i
\(485\) −0.814287 0.523311i −0.0369749 0.0237623i
\(486\) −0.944439 15.5598i −0.0428406 0.705808i
\(487\) 11.1016 + 24.3091i 0.503062 + 1.10155i 0.975462 + 0.220167i \(0.0706603\pi\)
−0.472400 + 0.881384i \(0.656612\pi\)
\(488\) 8.95177 8.53549i 0.405227 0.386384i
\(489\) −7.25638 + 9.46110i −0.328145 + 0.427846i
\(490\) 3.60166 + 0.694163i 0.162706 + 0.0313591i
\(491\) 8.67486 3.47289i 0.391491 0.156729i −0.167562 0.985862i \(-0.553589\pi\)
0.559052 + 0.829132i \(0.311165\pi\)
\(492\) −5.11168 + 10.2176i −0.230452 + 0.460643i
\(493\) −70.0049 + 13.4923i −3.15286 + 0.607664i
\(494\) −12.6760 + 8.14638i −0.570321 + 0.366523i
\(495\) −5.69111 + 0.683049i −0.255796 + 0.0307007i
\(496\) −2.99772 3.45955i −0.134602 0.155339i
\(497\) 3.27953 13.5184i 0.147107 0.606383i
\(498\) −1.32513 + 0.206953i −0.0593805 + 0.00927379i
\(499\) −27.0744 5.21817i −1.21202 0.233597i −0.457099 0.889416i \(-0.651112\pi\)
−0.754919 + 0.655818i \(0.772324\pi\)
\(500\) −7.73236 + 0.738351i −0.345802 + 0.0330201i
\(501\) −0.109285 9.01304i −0.00488248 0.402673i
\(502\) 13.4806 + 1.28724i 0.601669 + 0.0574524i
\(503\) 0.733337 + 5.10047i 0.0326979 + 0.227419i 0.999617 0.0276633i \(-0.00880664\pi\)
−0.966919 + 0.255082i \(0.917898\pi\)
\(504\) 10.1230 0.245524i 0.450916 0.0109365i
\(505\) −6.99442 −0.311247
\(506\) −3.44529 + 10.4195i −0.153162 + 0.463202i
\(507\) −12.0544 + 12.9531i −0.535353 + 0.575269i
\(508\) −0.862422 + 18.1045i −0.0382638 + 0.803255i
\(509\) 4.72310 3.71429i 0.209348 0.164633i −0.507980 0.861369i \(-0.669608\pi\)
0.717328 + 0.696736i \(0.245365\pi\)
\(510\) 1.96805 + 9.58438i 0.0871466 + 0.424403i
\(511\) −5.75916 + 5.49135i −0.254770 + 0.242923i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −15.9896 + 2.89596i −0.705957 + 0.127860i
\(514\) 1.31637 9.15557i 0.0580627 0.403835i
\(515\) 3.27021 13.4800i 0.144103 0.593999i
\(516\) 0.987314 + 1.85942i 0.0434641 + 0.0818563i
\(517\) −12.5876 6.48935i −0.553601 0.285401i
\(518\) −31.6109 16.2965i −1.38890 0.716029i
\(519\) −17.6544 0.626557i −0.774941 0.0275028i
\(520\) 0.948481 3.90969i 0.0415936 0.171451i
\(521\) 1.22199 8.49913i 0.0535363 0.372353i −0.945387 0.325951i \(-0.894315\pi\)
0.998923 0.0464020i \(-0.0147755\pi\)
\(522\) 25.3161 + 18.9336i 1.10805 + 0.828702i
\(523\) 8.93183 19.5580i 0.390562 0.855210i −0.607579 0.794259i \(-0.707859\pi\)
0.998141 0.0609514i \(-0.0194135\pi\)
\(524\) −1.31292 + 1.25187i −0.0573554 + 0.0546882i
\(525\) −18.8101 + 16.7026i −0.820942 + 0.728963i
\(526\) 3.44835 2.71181i 0.150355 0.118240i
\(527\) 1.47363 30.9352i 0.0641922 1.34756i
\(528\) −1.16266 3.78909i −0.0505983 0.164899i
\(529\) −2.64109 + 22.8479i −0.114830 + 0.993385i
\(530\) 10.2213 0.443984
\(531\) −12.0842 + 22.1541i −0.524408 + 0.961408i
\(532\) −1.50221 10.4481i −0.0651292 0.452984i
\(533\) 31.6382 + 3.02109i 1.37040 + 0.130858i
\(534\) 4.14168 2.45863i 0.179228 0.106395i
\(535\) 14.7423 1.40772i 0.637367 0.0608612i
\(536\) 5.07403 + 0.977938i 0.219165 + 0.0422405i
\(537\) −6.82810 + 17.6739i −0.294654 + 0.762683i
\(538\) −0.495507 + 2.04251i −0.0213628 + 0.0880587i
\(539\) −6.58289 7.59707i −0.283545 0.327229i
\(540\) 2.55615 3.50565i 0.109999 0.150859i
\(541\) −17.3150 + 11.1277i −0.744431 + 0.478417i −0.857058 0.515221i \(-0.827710\pi\)
0.112627 + 0.993637i \(0.464074\pi\)
\(542\) −11.8803 + 2.28974i −0.510303 + 0.0983528i
\(543\) −7.85196 + 0.469513i −0.336960 + 0.0201487i
\(544\) −6.28092 + 2.51450i −0.269292 + 0.107808i
\(545\) 12.7200 + 2.45158i 0.544866 + 0.105014i
\(546\) −10.7856 26.0223i −0.461583 1.11365i
\(547\) 17.9788 17.1427i 0.768716 0.732969i −0.200363 0.979722i \(-0.564212\pi\)
0.969078 + 0.246753i \(0.0793635\pi\)
\(548\) 1.59890 + 3.50110i 0.0683017 + 0.149560i
\(549\) −24.9725 27.4459i −1.06580 1.17136i
\(550\) 8.28314 + 5.32325i 0.353194 + 0.226984i
\(551\) 16.4770 28.5390i 0.701945 1.21580i
\(552\) −3.99684 7.28184i −0.170117 0.309936i
\(553\) −0.0345177 0.0597865i −0.00146784 0.00254238i
\(554\) 0.638937 13.4129i 0.0271458 0.569861i
\(555\) −13.7831 + 6.49765i −0.585061 + 0.275810i
\(556\) 12.1652 + 1.16164i 0.515920 + 0.0492644i
\(557\) 19.6445 + 5.76816i 0.832366 + 0.244405i 0.670033 0.742331i \(-0.266280\pi\)
0.162333 + 0.986736i \(0.448098\pi\)
\(558\) −10.5858 + 8.74838i −0.448133 + 0.370349i
\(559\) 3.83523 4.42609i 0.162213 0.187204i
\(560\) 2.21533 + 1.74215i 0.0936146 + 0.0736193i
\(561\) 11.9975 23.9813i 0.506533 1.01249i
\(562\) −1.53506 + 4.43526i −0.0647525 + 0.187090i
\(563\) −26.4624 13.6423i −1.11526 0.574956i −0.200798 0.979633i \(-0.564354\pi\)
−0.914460 + 0.404677i \(0.867384\pi\)
\(564\) 10.0865 3.62851i 0.424720 0.152788i
\(565\) −1.14091 + 0.219892i −0.0479983 + 0.00925092i
\(566\) 7.58951 2.22848i 0.319011 0.0936701i
\(567\) −0.0272934 30.3781i −0.00114622 1.27576i
\(568\) 2.69882 3.11460i 0.113240 0.130686i
\(569\) −11.0015 15.4494i −0.461206 0.647673i 0.516835 0.856085i \(-0.327110\pi\)
−0.978041 + 0.208412i \(0.933171\pi\)
\(570\) −3.94385 2.21367i −0.165190 0.0927203i
\(571\) 0.247020 0.346892i 0.0103375 0.0145170i −0.809375 0.587292i \(-0.800194\pi\)
0.819712 + 0.572775i \(0.194133\pi\)
\(572\) −8.66678 + 6.81563i −0.362376 + 0.284976i
\(573\) −18.8437 + 4.81407i −0.787206 + 0.201111i
\(574\) −11.1321 + 19.2814i −0.464647 + 0.804792i
\(575\) 19.2619 + 7.40329i 0.803278 + 0.308739i
\(576\) 2.69905 + 1.30962i 0.112461 + 0.0545675i
\(577\) −32.8719 21.1255i −1.36847 0.879465i −0.369709 0.929148i \(-0.620543\pi\)
−0.998765 + 0.0496827i \(0.984179\pi\)
\(578\) −26.7117 10.6937i −1.11106 0.444801i
\(579\) −19.1881 + 17.0382i −0.797430 + 0.708085i
\(580\) 2.07435 + 8.55057i 0.0861325 + 0.355043i
\(581\) −2.60182 + 0.248444i −0.107942 + 0.0103072i
\(582\) −1.83643 0.811909i −0.0761227 0.0336547i
\(583\) −22.0192 17.3161i −0.911944 0.717161i
\(584\) −2.26206 + 0.664201i −0.0936047 + 0.0274848i
\(585\) −11.6594 3.11852i −0.482058 0.128935i
\(586\) 4.65753 2.99321i 0.192401 0.123648i
\(587\) 1.24141 + 26.0604i 0.0512384 + 1.07563i 0.867339 + 0.497717i \(0.165828\pi\)
−0.816101 + 0.577909i \(0.803869\pi\)
\(588\) 7.60400 + 0.269867i 0.313584 + 0.0111291i
\(589\) 10.3606 + 9.87881i 0.426901 + 0.407049i
\(590\) −6.52048 + 2.61041i −0.268444 + 0.107469i
\(591\) 18.1839 13.2839i 0.747984 0.546425i
\(592\) −6.11178 8.58280i −0.251193 0.352751i
\(593\) −15.5017 4.55170i −0.636577 0.186916i −0.0525091 0.998620i \(-0.516722\pi\)
−0.584068 + 0.811704i \(0.698540\pi\)
\(594\) −11.4456 + 3.22162i −0.469619 + 0.132185i
\(595\) 2.71356 + 18.8732i 0.111245 + 0.773726i
\(596\) 1.25878 0.648945i 0.0515616 0.0265818i
\(597\) 11.0042 + 2.52872i 0.450372 + 0.103494i
\(598\) −14.8889 + 17.6716i −0.608851 + 0.722647i
\(599\) −18.1435 31.4254i −0.741322 1.28401i −0.951894 0.306428i \(-0.900866\pi\)
0.210572 0.977578i \(-0.432467\pi\)
\(600\) −7.22081 + 1.84473i −0.294788 + 0.0753108i
\(601\) −10.5195 4.21136i −0.429098 0.171785i 0.147052 0.989129i \(-0.453021\pi\)
−0.576150 + 0.817344i \(0.695446\pi\)
\(602\) 1.70432 + 3.73193i 0.0694627 + 0.152102i
\(603\) 3.28843 15.1494i 0.133915 0.616932i
\(604\) −7.50388 + 16.4312i −0.305329 + 0.668577i
\(605\) −1.57400 4.54778i −0.0639923 0.184894i
\(606\) −14.3355 + 2.23885i −0.582338 + 0.0909471i
\(607\) 17.1680 + 16.3697i 0.696829 + 0.664425i 0.953265 0.302136i \(-0.0976998\pi\)
−0.256436 + 0.966561i \(0.582548\pi\)
\(608\) 1.02283 2.95526i 0.0414811 0.119852i
\(609\) 47.0445 + 39.7759i 1.90634 + 1.61180i
\(610\) −0.491405 10.3159i −0.0198964 0.417677i
\(611\) −19.5276 22.5360i −0.790002 0.911711i
\(612\) 7.10150 + 19.0138i 0.287061 + 0.768586i
\(613\) −1.40193 + 9.75064i −0.0566235 + 0.393825i 0.941725 + 0.336383i \(0.109204\pi\)
−0.998349 + 0.0574421i \(0.981706\pi\)
\(614\) 1.18175 + 3.41444i 0.0476914 + 0.137795i
\(615\) 3.65254 + 8.81241i 0.147285 + 0.355351i
\(616\) −1.82096 7.50608i −0.0733684 0.302429i
\(617\) 2.29382 3.22122i 0.0923457 0.129681i −0.765818 0.643057i \(-0.777666\pi\)
0.858164 + 0.513376i \(0.171605\pi\)
\(618\) 2.38766 28.6748i 0.0960456 1.15347i
\(619\) 8.82934 4.55184i 0.354881 0.182954i −0.271562 0.962421i \(-0.587540\pi\)
0.626443 + 0.779467i \(0.284510\pi\)
\(620\) −3.82217 −0.153502
\(621\) −22.1195 + 11.4772i −0.887626 + 0.460564i
\(622\) 21.4618 0.860539
\(623\) 8.34271 4.30096i 0.334243 0.172314i
\(624\) 0.692508 8.31673i 0.0277225 0.332936i
\(625\) 8.71742 12.2419i 0.348697 0.489676i
\(626\) −5.64539 23.2706i −0.225635 0.930080i
\(627\) 4.74584 + 11.4502i 0.189530 + 0.457276i
\(628\) 4.98288 + 14.3971i 0.198838 + 0.574506i
\(629\) 10.1450 70.5598i 0.404506 2.81340i
\(630\) 5.38020 6.52213i 0.214352 0.259848i
\(631\) 9.00646 + 10.3940i 0.358541 + 0.413779i 0.906150 0.422955i \(-0.139007\pi\)
−0.547609 + 0.836734i \(0.684462\pi\)
\(632\) −0.000973188 0.0204297i −3.87113e−5 0.000812651i
\(633\) −21.3342 18.0380i −0.847956 0.716944i
\(634\) −10.1435 + 29.3078i −0.402851 + 1.16396i
\(635\) 10.9528 + 10.4435i 0.434648 + 0.414436i
\(636\) 20.9491 3.27174i 0.830685 0.129733i
\(637\) −6.92285 20.0023i −0.274293 0.792519i
\(638\) 10.0171 21.9343i 0.396579 0.868388i
\(639\) −9.15223 8.31242i −0.362056 0.328834i
\(640\) 0.346857 + 0.759510i 0.0137107 + 0.0300223i
\(641\) −25.1633 10.0739i −0.993891 0.397894i −0.183014 0.983110i \(-0.558585\pi\)
−0.810877 + 0.585217i \(0.801010\pi\)
\(642\) 29.7647 7.60410i 1.17472 0.300110i
\(643\) −6.21563 10.7658i −0.245120 0.424561i 0.717045 0.697027i \(-0.245494\pi\)
−0.962165 + 0.272466i \(0.912161\pi\)
\(644\) −6.92796 14.6301i −0.273000 0.576508i
\(645\) 1.71319 + 0.393684i 0.0674566 + 0.0155013i
\(646\) 18.8056 9.69499i 0.739898 0.381444i
\(647\) 2.65770 + 18.4847i 0.104485 + 0.726709i 0.972960 + 0.230975i \(0.0741917\pi\)
−0.868475 + 0.495734i \(0.834899\pi\)
\(648\) 4.11685 8.00322i 0.161725 0.314396i
\(649\) 18.4691 + 5.42303i 0.724977 + 0.212872i
\(650\) 12.0259 + 16.8880i 0.471695 + 0.662402i
\(651\) −21.6100 + 15.7867i −0.846962 + 0.618730i
\(652\) −6.39086 + 2.55852i −0.250285 + 0.100199i
\(653\) −10.8150 10.3121i −0.423225 0.403544i 0.448309 0.893878i \(-0.352026\pi\)
−0.871535 + 0.490334i \(0.836875\pi\)
\(654\) 26.8551 + 0.953093i 1.05012 + 0.0372689i
\(655\) 0.0720727 + 1.51299i 0.00281611 + 0.0591175i
\(656\) −5.54904 + 3.56615i −0.216654 + 0.139235i
\(657\) 1.83361 + 6.83086i 0.0715360 + 0.266497i
\(658\) 20.0432 5.88521i 0.781365 0.229429i
\(659\) −5.16275 4.06003i −0.201112 0.158156i 0.512524 0.858673i \(-0.328711\pi\)
−0.713636 + 0.700517i \(0.752953\pi\)
\(660\) −3.02673 1.33815i −0.117815 0.0520875i
\(661\) 22.4237 2.14120i 0.872181 0.0832832i 0.350641 0.936510i \(-0.385964\pi\)
0.521540 + 0.853227i \(0.325358\pi\)
\(662\) 7.57425 + 31.2215i 0.294382 + 1.21346i
\(663\) 42.2197 37.4894i 1.63968 1.45597i
\(664\) −0.718871 0.287792i −0.0278976 0.0111685i
\(665\) −7.41440 4.76495i −0.287518 0.184777i
\(666\) −26.1695 + 17.7292i −1.01405 + 0.686991i
\(667\) 11.2328 49.2728i 0.434936 1.90785i
\(668\) 2.60203 4.50685i 0.100676 0.174375i
\(669\) 20.8869 5.33605i 0.807533 0.206304i
\(670\) 3.39151 2.66711i 0.131025 0.103039i
\(671\) −16.4178 + 23.0555i −0.633800 + 0.890048i
\(672\) 5.09808 + 2.86153i 0.196663 + 0.110386i
\(673\) −17.4889 24.5597i −0.674146 0.946706i −0.999999 0.00128559i \(-0.999591\pi\)
0.325853 0.945421i \(-0.394349\pi\)
\(674\) 5.29668 6.11269i 0.204020 0.235452i
\(675\) 5.02689 + 21.7857i 0.193485 + 0.838534i
\(676\) −9.80204 + 2.87814i −0.377002 + 0.110698i
\(677\) −16.7837 + 3.23479i −0.645050 + 0.124323i −0.501276 0.865287i \(-0.667136\pi\)
−0.143774 + 0.989611i \(0.545924\pi\)
\(678\) −2.26797 + 0.815875i −0.0871008 + 0.0313335i
\(679\) −3.47794 1.79300i −0.133471 0.0688091i
\(680\) −1.84761 + 5.33831i −0.0708524 + 0.204715i
\(681\) 1.86073 3.71935i 0.0713032 0.142526i
\(682\) 8.23393 + 6.47524i 0.315294 + 0.247950i
\(683\) −16.7091 + 19.2833i −0.639356 + 0.737856i −0.979261 0.202604i \(-0.935060\pi\)
0.339905 + 0.940460i \(0.389605\pi\)
\(684\) −8.79172 3.27464i −0.336160 0.125209i
\(685\) 3.08354 + 0.905408i 0.117816 + 0.0345939i
\(686\) −8.75989 0.836468i −0.334454 0.0319365i
\(687\) −5.68999 + 2.68238i −0.217087 + 0.102339i
\(688\) −0.0578352 + 1.21411i −0.00220495 + 0.0462875i
\(689\) −29.4917 51.0811i −1.12354 1.94603i
\(690\) −6.78043 1.45950i −0.258127 0.0555623i
\(691\) 16.0216 27.7502i 0.609489 1.05567i −0.381835 0.924230i \(-0.624708\pi\)
0.991325 0.131436i \(-0.0419588\pi\)
\(692\) −8.58009 5.51409i −0.326166 0.209614i
\(693\) −22.6396 + 4.93561i −0.860009 + 0.187488i
\(694\) −4.71635 10.3274i −0.179030 0.392022i
\(695\) 7.38479 7.04138i 0.280121 0.267095i
\(696\) 6.98845 + 16.8609i 0.264896 + 0.639111i
\(697\) −43.8202 8.44565i −1.65981 0.319902i
\(698\) 14.4487 5.78440i 0.546893 0.218943i
\(699\) 2.47388 0.147927i 0.0935708 0.00559512i
\(700\) −14.2611 + 2.74860i −0.539018 + 0.103887i
\(701\) −21.7728 + 13.9926i −0.822349 + 0.528492i −0.882838 0.469677i \(-0.844370\pi\)
0.0604892 + 0.998169i \(0.480734\pi\)
\(702\) −24.8949 2.65951i −0.939597 0.100377i
\(703\) 21.5779 + 24.9023i 0.813827 + 0.939206i
\(704\) 0.539488 2.22380i 0.0203327 0.0838125i
\(705\) 3.22549 8.34886i 0.121479 0.314436i
\(706\) 10.5540 + 2.03411i 0.397204 + 0.0765548i
\(707\) −28.1469 + 2.68770i −1.05857 + 0.101081i
\(708\) −12.5285 + 7.43732i −0.470851 + 0.279512i
\(709\) 40.7476 + 3.89092i 1.53031 + 0.146127i 0.825960 0.563728i \(-0.190634\pi\)
0.704348 + 0.709855i \(0.251240\pi\)
\(710\) −0.489715 3.40604i −0.0183787 0.127826i
\(711\) −0.0613406 + 0.00148775i −0.00230045 + 5.57950e-5i
\(712\) 2.78079 0.104214
\(713\) 19.6507 + 9.78836i 0.735924 + 0.366577i
\(714\) 11.6027 + 37.8131i 0.434222 + 1.41512i
\(715\) −0.438042 + 9.19563i −0.0163818 + 0.343897i
\(716\) −8.59867 + 6.76207i −0.321348 + 0.252710i
\(717\) −27.1013 + 24.0649i −1.01212 + 0.898720i
\(718\) 0.370211 0.352995i 0.0138161 0.0131737i
\(719\) −6.37497 + 13.9592i −0.237746 + 0.520592i −0.990467 0.137748i \(-0.956014\pi\)
0.752721 + 0.658340i \(0.228741\pi\)
\(720\) 2.30221 0.987086i 0.0857981 0.0367865i
\(721\) 7.98008 55.5027i 0.297194 2.06703i
\(722\) 2.17376 8.96036i 0.0808989 0.333470i
\(723\) −29.8935 1.06093i −1.11175 0.0394562i
\(724\) −4.03658 2.08100i −0.150018 0.0773399i
\(725\) −40.3015 20.7769i −1.49676 0.771633i
\(726\) −4.68171 8.81711i −0.173755 0.327234i
\(727\) −4.62844 + 19.0787i −0.171659 + 0.707589i 0.819293 + 0.573375i \(0.194366\pi\)
−0.990952 + 0.134214i \(0.957149\pi\)
\(728\) 2.31452 16.0978i 0.0857817 0.596625i
\(729\) −23.7147 12.9078i −0.878324 0.478066i
\(730\) −0.817735 + 1.79059i −0.0302657 + 0.0662727i
\(731\) −5.95158 + 5.67482i −0.220127 + 0.209891i
\(732\) −4.30918 20.9856i −0.159272 0.775652i
\(733\) −3.86542 + 3.03980i −0.142773 + 0.112278i −0.686991 0.726666i \(-0.741069\pi\)
0.544218 + 0.838944i \(0.316826\pi\)
\(734\) −1.23081 + 25.8379i −0.0454301 + 0.953694i
\(735\) 4.32805 4.65074i 0.159642 0.171545i
\(736\) 0.161790 4.79310i 0.00596366 0.176676i
\(737\) −11.8246 −0.435564
\(738\) 10.3069 + 16.8924i 0.379401 + 0.621817i
\(739\) 6.33061 + 44.0303i 0.232875 + 1.61968i 0.685563 + 0.728013i \(0.259556\pi\)
−0.452688 + 0.891669i \(0.649535\pi\)
\(740\) −8.75778 0.836267i −0.321942 0.0307418i
\(741\) 0.316427 + 26.0966i 0.0116242 + 0.958684i
\(742\) 41.1324 3.92767i 1.51002 0.144189i
\(743\) −5.72410 1.10323i −0.209997 0.0404736i 0.0831677 0.996536i \(-0.473496\pi\)
−0.293165 + 0.956062i \(0.594708\pi\)
\(744\) −7.83376 + 1.22344i −0.287199 + 0.0448536i
\(745\) 0.278781 1.14915i 0.0102138 0.0421017i
\(746\) −1.61777 1.86701i −0.0592308 0.0683559i
\(747\) −0.913496 + 2.13587i −0.0334231 + 0.0781473i
\(748\) 13.0240 8.37000i 0.476204 0.306038i
\(749\) 58.7851 11.3299i 2.14796 0.413986i
\(750\) −6.01943 + 12.0320i −0.219799 + 0.439348i
\(751\) −6.40730 + 2.56510i −0.233806 + 0.0936017i −0.485607 0.874177i \(-0.661401\pi\)
0.251801 + 0.967779i \(0.418977\pi\)
\(752\) 6.07697 + 1.17124i 0.221604 + 0.0427107i
\(753\) 14.2745 18.6116i 0.520192 0.678243i
\(754\) 36.7465 35.0377i 1.33823 1.27600i
\(755\) 6.26548 + 13.7195i 0.228024 + 0.499303i
\(756\) 8.93935 15.0896i 0.325121 0.548805i
\(757\) −21.8163 14.0205i −0.792928 0.509584i 0.0803729 0.996765i \(-0.474389\pi\)
−0.873301 + 0.487181i \(0.838025\pi\)
\(758\) 8.02030 13.8916i 0.291311 0.504565i
\(759\) 12.1342 + 14.6310i 0.440444 + 0.531073i
\(760\) −1.30557 2.26132i −0.0473582 0.0820267i
\(761\) −1.46826 + 30.8225i −0.0532243 + 1.11732i 0.801420 + 0.598102i \(0.204078\pi\)
−0.854645 + 0.519214i \(0.826225\pi\)
\(762\) 25.7912 + 17.8986i 0.934317 + 0.648397i
\(763\) 52.1299 + 4.97780i 1.88723 + 0.180208i
\(764\) −10.7740 3.16352i −0.389789 0.114452i
\(765\) 15.8811 + 5.91523i 0.574184 + 0.213866i
\(766\) −11.0453 + 12.7470i −0.399083 + 0.460566i
\(767\) 31.8593 + 25.0544i 1.15037 + 0.904662i
\(768\) 0.954015 + 1.44563i 0.0344250 + 0.0521648i
\(769\) 10.5285 30.4200i 0.379666 1.09697i −0.579705 0.814827i \(-0.696832\pi\)
0.959371 0.282147i \(-0.0910467\pi\)
\(770\) −5.73219 2.95515i −0.206574 0.106496i