Properties

Label 76.2.k.a.51.3
Level $76$
Weight $2$
Character 76.51
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 51.3
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19877 + 0.750298i) q^{2} +(2.80443 + 1.02073i) q^{3} +(0.874105 - 1.79887i) q^{4} +(-0.165124 - 0.936467i) q^{5} +(-4.12772 + 0.880539i) q^{6} +(-2.67390 - 1.54378i) q^{7} +(0.301838 + 2.81228i) q^{8} +(4.52481 + 3.79677i) q^{9} +O(q^{10})\) \(q+(-1.19877 + 0.750298i) q^{2} +(2.80443 + 1.02073i) q^{3} +(0.874105 - 1.79887i) q^{4} +(-0.165124 - 0.936467i) q^{5} +(-4.12772 + 0.880539i) q^{6} +(-2.67390 - 1.54378i) q^{7} +(0.301838 + 2.81228i) q^{8} +(4.52481 + 3.79677i) q^{9} +(0.900576 + 0.998718i) q^{10} +(-3.39303 + 1.95897i) q^{11} +(4.28753 - 4.15259i) q^{12} +(-0.284588 - 0.781900i) q^{13} +(4.36368 - 0.155587i) q^{14} +(0.492800 - 2.79481i) q^{15} +(-2.47188 - 3.14481i) q^{16} +(-3.14351 + 2.63772i) q^{17} +(-8.27293 - 1.15650i) q^{18} +(-0.473541 - 4.33310i) q^{19} +(-1.82892 - 0.521533i) q^{20} +(-5.92298 - 7.05874i) q^{21} +(2.59766 - 4.89414i) q^{22} +(2.45271 + 0.432479i) q^{23} +(-2.02409 + 8.19493i) q^{24} +(3.84876 - 1.40083i) q^{25} +(0.927814 + 0.723793i) q^{26} +(4.33744 + 7.51266i) q^{27} +(-5.11432 + 3.46058i) q^{28} +(1.95130 - 2.32547i) q^{29} +(1.50618 + 3.72008i) q^{30} +(0.560318 - 0.970499i) q^{31} +(5.32276 + 1.91526i) q^{32} +(-11.5151 + 2.03042i) q^{33} +(1.78928 - 5.52059i) q^{34} +(-1.00417 + 2.75893i) q^{35} +(10.7851 - 4.82079i) q^{36} +11.0692i q^{37} +(3.81878 + 4.83910i) q^{38} -2.48327i q^{39} +(2.58376 - 0.747037i) q^{40} +(1.74742 - 4.80099i) q^{41} +(12.3965 + 4.01781i) q^{42} +(2.92630 - 0.515985i) q^{43} +(0.558065 + 7.81597i) q^{44} +(2.80839 - 4.86428i) q^{45} +(-3.26472 + 1.32182i) q^{46} +(-2.23924 + 2.66862i) q^{47} +(-3.72222 - 11.3425i) q^{48} +(1.26648 + 2.19361i) q^{49} +(-3.56274 + 4.56699i) q^{50} +(-11.5082 + 4.18863i) q^{51} +(-1.65530 - 0.171525i) q^{52} +(-4.27071 - 0.753042i) q^{53} +(-10.8363 - 5.75159i) q^{54} +(2.39478 + 2.85399i) q^{55} +(3.53444 - 7.98571i) q^{56} +(3.09491 - 12.6352i) q^{57} +(-0.594368 + 4.25176i) q^{58} +(-0.677042 + 0.568105i) q^{59} +(-4.59674 - 3.32944i) q^{60} +(-1.74615 + 9.90290i) q^{61} +(0.0564707 + 1.58381i) q^{62} +(-6.23753 - 17.1375i) q^{63} +(-7.81779 + 1.69770i) q^{64} +(-0.685231 + 0.395618i) q^{65} +(12.2805 - 11.0738i) q^{66} +(6.32640 + 5.30848i) q^{67} +(1.99716 + 7.96042i) q^{68} +(6.43701 + 3.71641i) q^{69} +(-0.866253 - 4.06076i) q^{70} +(-1.66114 - 9.42079i) q^{71} +(-9.31180 + 13.8710i) q^{72} +(2.43877 + 0.887641i) q^{73} +(-8.30520 - 13.2694i) q^{74} +12.2235 q^{75} +(-8.20862 - 2.93575i) q^{76} +12.0968 q^{77} +(1.86319 + 2.97687i) q^{78} +(-3.07726 - 1.12003i) q^{79} +(-2.53684 + 2.83412i) q^{80} +(1.41857 + 8.04512i) q^{81} +(1.50742 + 7.06637i) q^{82} +(10.7084 + 6.18250i) q^{83} +(-17.8751 + 4.48461i) q^{84} +(2.98921 + 2.50824i) q^{85} +(-3.12082 + 2.81414i) q^{86} +(7.84597 - 4.52987i) q^{87} +(-6.53330 - 8.95084i) q^{88} +(-0.254375 - 0.698890i) q^{89} +(0.283039 + 7.93829i) q^{90} +(-0.446118 + 2.53006i) q^{91} +(2.92190 - 4.03408i) q^{92} +(2.56199 - 2.14976i) q^{93} +(0.682075 - 4.87917i) q^{94} +(-3.97961 + 1.15896i) q^{95} +(12.9724 + 10.8043i) q^{96} +(-6.10468 - 7.27528i) q^{97} +(-3.16409 - 1.67940i) q^{98} +(-22.7906 - 4.01859i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19877 + 0.750298i −0.847659 + 0.530541i
\(3\) 2.80443 + 1.02073i 1.61914 + 0.589319i 0.983218 0.182435i \(-0.0583980\pi\)
0.635921 + 0.771754i \(0.280620\pi\)
\(4\) 0.874105 1.79887i 0.437053 0.899436i
\(5\) −0.165124 0.936467i −0.0738459 0.418801i −0.999211 0.0397232i \(-0.987352\pi\)
0.925365 0.379078i \(-0.123759\pi\)
\(6\) −4.12772 + 0.880539i −1.68514 + 0.359478i
\(7\) −2.67390 1.54378i −1.01064 0.583492i −0.0992597 0.995062i \(-0.531647\pi\)
−0.911378 + 0.411569i \(0.864981\pi\)
\(8\) 0.301838 + 2.81228i 0.106716 + 0.994290i
\(9\) 4.52481 + 3.79677i 1.50827 + 1.26559i
\(10\) 0.900576 + 0.998718i 0.284787 + 0.315822i
\(11\) −3.39303 + 1.95897i −1.02304 + 0.590651i −0.914982 0.403494i \(-0.867795\pi\)
−0.108055 + 0.994145i \(0.534462\pi\)
\(12\) 4.28753 4.15259i 1.23770 1.19875i
\(13\) −0.284588 0.781900i −0.0789306 0.216860i 0.893951 0.448166i \(-0.147922\pi\)
−0.972881 + 0.231306i \(0.925700\pi\)
\(14\) 4.36368 0.155587i 1.16624 0.0415823i
\(15\) 0.492800 2.79481i 0.127240 0.721616i
\(16\) −2.47188 3.14481i −0.617970 0.786202i
\(17\) −3.14351 + 2.63772i −0.762414 + 0.639741i −0.938754 0.344588i \(-0.888019\pi\)
0.176340 + 0.984329i \(0.443574\pi\)
\(18\) −8.27293 1.15650i −1.94995 0.272589i
\(19\) −0.473541 4.33310i −0.108638 0.994081i
\(20\) −1.82892 0.521533i −0.408959 0.116618i
\(21\) −5.92298 7.05874i −1.29250 1.54034i
\(22\) 2.59766 4.89414i 0.553822 1.04343i
\(23\) 2.45271 + 0.432479i 0.511425 + 0.0901780i 0.423405 0.905941i \(-0.360835\pi\)
0.0880203 + 0.996119i \(0.471946\pi\)
\(24\) −2.02409 + 8.19493i −0.413165 + 1.67278i
\(25\) 3.84876 1.40083i 0.769752 0.280167i
\(26\) 0.927814 + 0.723793i 0.181959 + 0.141947i
\(27\) 4.33744 + 7.51266i 0.834740 + 1.44581i
\(28\) −5.11432 + 3.46058i −0.966516 + 0.653987i
\(29\) 1.95130 2.32547i 0.362347 0.431829i −0.553813 0.832641i \(-0.686828\pi\)
0.916160 + 0.400812i \(0.131272\pi\)
\(30\) 1.50618 + 3.72008i 0.274990 + 0.679191i
\(31\) 0.560318 0.970499i 0.100636 0.174307i −0.811311 0.584615i \(-0.801246\pi\)
0.911947 + 0.410308i \(0.134579\pi\)
\(32\) 5.32276 + 1.91526i 0.940940 + 0.338573i
\(33\) −11.5151 + 2.03042i −2.00452 + 0.353451i
\(34\) 1.78928 5.52059i 0.306858 0.946774i
\(35\) −1.00417 + 2.75893i −0.169736 + 0.466345i
\(36\) 10.7851 4.82079i 1.79751 0.803464i
\(37\) 11.0692i 1.81976i 0.414866 + 0.909882i \(0.363828\pi\)
−0.414866 + 0.909882i \(0.636172\pi\)
\(38\) 3.81878 + 4.83910i 0.619489 + 0.785006i
\(39\) 2.48327i 0.397642i
\(40\) 2.58376 0.747037i 0.408529 0.118117i
\(41\) 1.74742 4.80099i 0.272901 0.749788i −0.725220 0.688517i \(-0.758262\pi\)
0.998121 0.0612717i \(-0.0195156\pi\)
\(42\) 12.3965 + 4.01781i 1.91282 + 0.619961i
\(43\) 2.92630 0.515985i 0.446256 0.0786870i 0.0539956 0.998541i \(-0.482804\pi\)
0.392260 + 0.919854i \(0.371693\pi\)
\(44\) 0.558065 + 7.81597i 0.0841315 + 1.17830i
\(45\) 2.80839 4.86428i 0.418651 0.725124i
\(46\) −3.26472 + 1.32182i −0.481357 + 0.194892i
\(47\) −2.23924 + 2.66862i −0.326627 + 0.389259i −0.904221 0.427066i \(-0.859547\pi\)
0.577594 + 0.816324i \(0.303992\pi\)
\(48\) −3.72222 11.3425i −0.537256 1.63715i
\(49\) 1.26648 + 2.19361i 0.180926 + 0.313373i
\(50\) −3.56274 + 4.56699i −0.503847 + 0.645871i
\(51\) −11.5082 + 4.18863i −1.61147 + 0.586525i
\(52\) −1.65530 0.171525i −0.229548 0.0237862i
\(53\) −4.27071 0.753042i −0.586627 0.103438i −0.127546 0.991833i \(-0.540710\pi\)
−0.459081 + 0.888394i \(0.651821\pi\)
\(54\) −10.8363 5.75159i −1.47464 0.782692i
\(55\) 2.39478 + 2.85399i 0.322912 + 0.384832i
\(56\) 3.53444 7.98571i 0.472309 1.06713i
\(57\) 3.09491 12.6352i 0.409931 1.67358i
\(58\) −0.594368 + 4.25176i −0.0780443 + 0.558284i
\(59\) −0.677042 + 0.568105i −0.0881433 + 0.0739610i −0.685795 0.727795i \(-0.740545\pi\)
0.597651 + 0.801756i \(0.296101\pi\)
\(60\) −4.59674 3.32944i −0.593437 0.429829i
\(61\) −1.74615 + 9.90290i −0.223571 + 1.26794i 0.641826 + 0.766850i \(0.278177\pi\)
−0.865398 + 0.501086i \(0.832934\pi\)
\(62\) 0.0564707 + 1.58381i 0.00717178 + 0.201144i
\(63\) −6.23753 17.1375i −0.785855 2.15912i
\(64\) −7.81779 + 1.69770i −0.977223 + 0.212213i
\(65\) −0.685231 + 0.395618i −0.0849924 + 0.0490704i
\(66\) 12.2805 11.0738i 1.51163 1.36309i
\(67\) 6.32640 + 5.30848i 0.772893 + 0.648535i 0.941448 0.337158i \(-0.109466\pi\)
−0.168555 + 0.985692i \(0.553910\pi\)
\(68\) 1.99716 + 7.96042i 0.242191 + 0.965343i
\(69\) 6.43701 + 3.71641i 0.774925 + 0.447403i
\(70\) −0.866253 4.06076i −0.103537 0.485353i
\(71\) −1.66114 9.42079i −0.197141 1.11804i −0.909337 0.416061i \(-0.863410\pi\)
0.712195 0.701981i \(-0.247701\pi\)
\(72\) −9.31180 + 13.8710i −1.09741 + 1.63472i
\(73\) 2.43877 + 0.887641i 0.285437 + 0.103891i 0.480771 0.876846i \(-0.340357\pi\)
−0.195334 + 0.980737i \(0.562579\pi\)
\(74\) −8.30520 13.2694i −0.965460 1.54254i
\(75\) 12.2235 1.41144
\(76\) −8.20862 2.93575i −0.941593 0.336753i
\(77\) 12.0968 1.37856
\(78\) 1.86319 + 2.97687i 0.210965 + 0.337065i
\(79\) −3.07726 1.12003i −0.346219 0.126013i 0.163057 0.986617i \(-0.447865\pi\)
−0.509276 + 0.860603i \(0.670087\pi\)
\(80\) −2.53684 + 2.83412i −0.283627 + 0.316864i
\(81\) 1.41857 + 8.04512i 0.157619 + 0.893903i
\(82\) 1.50742 + 7.06637i 0.166467 + 0.780350i
\(83\) 10.7084 + 6.18250i 1.17540 + 0.678618i 0.954946 0.296779i \(-0.0959126\pi\)
0.220455 + 0.975397i \(0.429246\pi\)
\(84\) −17.8751 + 4.48461i −1.95033 + 0.489311i
\(85\) 2.98921 + 2.50824i 0.324225 + 0.272057i
\(86\) −3.12082 + 2.81414i −0.336526 + 0.303457i
\(87\) 7.84597 4.52987i 0.841176 0.485653i
\(88\) −6.53330 8.95084i −0.696452 0.954163i
\(89\) −0.254375 0.698890i −0.0269637 0.0740822i 0.925480 0.378795i \(-0.123662\pi\)
−0.952444 + 0.304713i \(0.901439\pi\)
\(90\) 0.283039 + 7.93829i 0.0298350 + 0.836770i
\(91\) −0.446118 + 2.53006i −0.0467658 + 0.265222i
\(92\) 2.92190 4.03408i 0.304629 0.420582i
\(93\) 2.56199 2.14976i 0.265666 0.222920i
\(94\) 0.682075 4.87917i 0.0703506 0.503248i
\(95\) −3.97961 + 1.15896i −0.408300 + 0.118906i
\(96\) 12.9724 + 10.8043i 1.32399 + 1.10271i
\(97\) −6.10468 7.27528i −0.619837 0.738693i 0.361206 0.932486i \(-0.382365\pi\)
−0.981042 + 0.193794i \(0.937921\pi\)
\(98\) −3.16409 1.67940i −0.319621 0.169645i
\(99\) −22.7906 4.01859i −2.29054 0.403884i
\(100\) 0.844300 8.14790i 0.0844300 0.814790i
\(101\) −9.25142 + 3.36724i −0.920550 + 0.335053i −0.758457 0.651723i \(-0.774047\pi\)
−0.162093 + 0.986776i \(0.551824\pi\)
\(102\) 10.6529 13.6558i 1.05480 1.35212i
\(103\) −0.981169 1.69943i −0.0966774 0.167450i 0.813630 0.581383i \(-0.197488\pi\)
−0.910307 + 0.413933i \(0.864155\pi\)
\(104\) 2.11302 1.03635i 0.207198 0.101622i
\(105\) −5.63225 + 6.71225i −0.549651 + 0.655049i
\(106\) 5.68461 2.30158i 0.552138 0.223550i
\(107\) −1.49933 + 2.59691i −0.144945 + 0.251053i −0.929353 0.369193i \(-0.879634\pi\)
0.784407 + 0.620246i \(0.212967\pi\)
\(108\) 17.3057 1.23564i 1.66524 0.118899i
\(109\) 9.12021 1.60814i 0.873558 0.154032i 0.281144 0.959666i \(-0.409286\pi\)
0.592414 + 0.805634i \(0.298175\pi\)
\(110\) −5.01214 1.62448i −0.477888 0.154888i
\(111\) −11.2987 + 31.0428i −1.07242 + 2.94645i
\(112\) 1.75468 + 12.2249i 0.165802 + 1.15515i
\(113\) 10.5830i 0.995568i −0.867301 0.497784i \(-0.834147\pi\)
0.867301 0.497784i \(-0.165853\pi\)
\(114\) 5.77011 + 17.4689i 0.540420 + 1.63611i
\(115\) 2.36829i 0.220845i
\(116\) −2.47758 5.54285i −0.230038 0.514640i
\(117\) 1.68098 4.61847i 0.155407 0.426977i
\(118\) 0.385370 1.18901i 0.0354761 0.109457i
\(119\) 12.4775 2.20012i 1.14381 0.201684i
\(120\) 8.00851 + 0.542310i 0.731074 + 0.0495059i
\(121\) 2.17510 3.76738i 0.197736 0.342489i
\(122\) −5.33689 13.1814i −0.483180 1.19339i
\(123\) 9.80102 11.6804i 0.883728 1.05319i
\(124\) −1.25603 1.85626i −0.112794 0.166697i
\(125\) −4.32464 7.49050i −0.386808 0.669971i
\(126\) 20.3356 + 15.8639i 1.81164 + 1.41327i
\(127\) −1.50832 + 0.548984i −0.133842 + 0.0487144i −0.408073 0.912949i \(-0.633799\pi\)
0.274231 + 0.961664i \(0.411577\pi\)
\(128\) 8.09795 7.90083i 0.715765 0.698341i
\(129\) 8.73328 + 1.53991i 0.768922 + 0.135582i
\(130\) 0.524604 0.988383i 0.0460108 0.0866870i
\(131\) −6.30386 7.51265i −0.550771 0.656383i 0.416795 0.909000i \(-0.363153\pi\)
−0.967566 + 0.252617i \(0.918709\pi\)
\(132\) −6.41293 + 22.4890i −0.558174 + 1.95741i
\(133\) −5.42313 + 12.3173i −0.470245 + 1.06805i
\(134\) −11.5669 1.61697i −0.999224 0.139685i
\(135\) 6.31914 5.30239i 0.543865 0.456357i
\(136\) −8.36683 8.04426i −0.717449 0.689789i
\(137\) −0.959987 + 5.44436i −0.0820172 + 0.465143i 0.915943 + 0.401308i \(0.131444\pi\)
−0.997960 + 0.0638350i \(0.979667\pi\)
\(138\) −10.5049 + 0.374552i −0.894238 + 0.0318840i
\(139\) 3.12444 + 8.58433i 0.265012 + 0.728113i 0.998811 + 0.0487473i \(0.0155229\pi\)
−0.733800 + 0.679366i \(0.762255\pi\)
\(140\) 4.08522 + 4.21797i 0.345264 + 0.356483i
\(141\) −9.00374 + 5.19831i −0.758252 + 0.437777i
\(142\) 9.05973 + 10.0470i 0.760276 + 0.843128i
\(143\) 2.49733 + 2.09551i 0.208837 + 0.175235i
\(144\) 0.755308 23.6148i 0.0629424 1.96790i
\(145\) −2.49993 1.44334i −0.207608 0.119863i
\(146\) −3.58953 + 0.765729i −0.297072 + 0.0633722i
\(147\) 1.31268 + 7.44458i 0.108268 + 0.614018i
\(148\) 19.9121 + 9.67564i 1.63676 + 0.795333i
\(149\) −17.4242 6.34187i −1.42744 0.519547i −0.491245 0.871021i \(-0.663458\pi\)
−0.936197 + 0.351475i \(0.885680\pi\)
\(150\) −14.6531 + 9.17123i −1.19642 + 0.748828i
\(151\) 19.1746 1.56040 0.780202 0.625527i \(-0.215116\pi\)
0.780202 + 0.625527i \(0.215116\pi\)
\(152\) 12.0429 2.63962i 0.976811 0.214102i
\(153\) −24.2386 −1.95958
\(154\) −14.5013 + 9.07622i −1.16855 + 0.731383i
\(155\) −1.00136 0.364466i −0.0804314 0.0292746i
\(156\) −4.46709 2.17064i −0.357653 0.173790i
\(157\) −1.38284 7.84250i −0.110363 0.625899i −0.988942 0.148303i \(-0.952619\pi\)
0.878579 0.477597i \(-0.158492\pi\)
\(158\) 4.52929 0.966202i 0.360331 0.0768669i
\(159\) −11.2083 6.47110i −0.888874 0.513191i
\(160\) 0.914657 5.30085i 0.0723100 0.419069i
\(161\) −5.89064 4.94283i −0.464247 0.389550i
\(162\) −7.73679 8.57991i −0.607859 0.674101i
\(163\) −14.7556 + 8.51913i −1.15574 + 0.667269i −0.950281 0.311395i \(-0.899204\pi\)
−0.205464 + 0.978665i \(0.565870\pi\)
\(164\) −7.10894 7.33995i −0.555115 0.573154i
\(165\) 3.80285 + 10.4482i 0.296051 + 0.813394i
\(166\) −17.4757 + 0.623093i −1.35637 + 0.0483614i
\(167\) 2.11555 11.9979i 0.163706 0.928422i −0.786683 0.617357i \(-0.788203\pi\)
0.950389 0.311065i \(-0.100686\pi\)
\(168\) 18.0633 18.7877i 1.39362 1.44950i
\(169\) 9.42820 7.91120i 0.725246 0.608554i
\(170\) −5.46531 0.764013i −0.419170 0.0585971i
\(171\) 14.3091 21.4044i 1.09424 1.63684i
\(172\) 1.62970 5.71506i 0.124263 0.435769i
\(173\) 14.0933 + 16.7958i 1.07150 + 1.27696i 0.959030 + 0.283303i \(0.0914303\pi\)
0.112465 + 0.993656i \(0.464125\pi\)
\(174\) −6.00676 + 11.3171i −0.455372 + 0.857947i
\(175\) −12.4538 2.19593i −0.941415 0.165997i
\(176\) 14.5477 + 5.82809i 1.09658 + 0.439309i
\(177\) −2.47860 + 0.902136i −0.186303 + 0.0678087i
\(178\) 0.829313 + 0.646952i 0.0621597 + 0.0484911i
\(179\) 0.183973 + 0.318651i 0.0137508 + 0.0238171i 0.872819 0.488044i \(-0.162290\pi\)
−0.859068 + 0.511861i \(0.828956\pi\)
\(180\) −6.29539 9.30383i −0.469230 0.693467i
\(181\) 12.1366 14.4639i 0.902109 1.07509i −0.0947190 0.995504i \(-0.530195\pi\)
0.996828 0.0795875i \(-0.0253603\pi\)
\(182\) −1.36351 3.36768i −0.101070 0.249629i
\(183\) −15.0051 + 25.9896i −1.10921 + 1.92121i
\(184\) −0.475928 + 7.02823i −0.0350859 + 0.518128i
\(185\) 10.3659 1.82780i 0.762119 0.134382i
\(186\) −1.45828 + 4.49933i −0.106926 + 0.329907i
\(187\) 5.49882 15.1079i 0.402114 1.10480i
\(188\) 2.84318 + 6.36077i 0.207360 + 0.463907i
\(189\) 26.7841i 1.94826i
\(190\) 3.90108 4.37522i 0.283014 0.317412i
\(191\) 14.9125i 1.07903i −0.841975 0.539516i \(-0.818607\pi\)
0.841975 0.539516i \(-0.181393\pi\)
\(192\) −23.6573 3.21875i −1.70732 0.232293i
\(193\) −2.55696 + 7.02519i −0.184054 + 0.505684i −0.997065 0.0765647i \(-0.975605\pi\)
0.813011 + 0.582249i \(0.197827\pi\)
\(194\) 12.7767 + 4.14106i 0.917317 + 0.297311i
\(195\) −2.32550 + 0.410049i −0.166533 + 0.0293642i
\(196\) 5.05307 0.360792i 0.360934 0.0257709i
\(197\) −10.7161 + 18.5607i −0.763487 + 1.32240i 0.177556 + 0.984111i \(0.443181\pi\)
−0.941043 + 0.338288i \(0.890152\pi\)
\(198\) 30.3358 12.2824i 2.15587 0.872869i
\(199\) −16.4631 + 19.6199i −1.16704 + 1.39082i −0.262224 + 0.965007i \(0.584456\pi\)
−0.904812 + 0.425812i \(0.859988\pi\)
\(200\) 5.10123 + 10.4009i 0.360712 + 0.735458i
\(201\) 12.3234 + 21.3448i 0.869229 + 1.50555i
\(202\) 8.56390 10.9779i 0.602554 0.772400i
\(203\) −8.80758 + 3.20570i −0.618171 + 0.224996i
\(204\) −2.52454 + 24.3630i −0.176753 + 1.70575i
\(205\) −4.78451 0.843638i −0.334165 0.0589223i
\(206\) 2.45128 + 1.30106i 0.170789 + 0.0906494i
\(207\) 9.45603 + 11.2693i 0.657239 + 0.783267i
\(208\) −1.75546 + 2.82774i −0.121719 + 0.196068i
\(209\) 10.0951 + 13.7747i 0.698295 + 0.952815i
\(210\) 1.71559 12.2723i 0.118387 0.846871i
\(211\) 2.40668 2.01944i 0.165682 0.139024i −0.556177 0.831064i \(-0.687732\pi\)
0.721859 + 0.692040i \(0.243288\pi\)
\(212\) −5.08768 + 7.02423i −0.349423 + 0.482426i
\(213\) 4.95753 28.1155i 0.339684 1.92645i
\(214\) −0.151107 4.23804i −0.0103295 0.289707i
\(215\) −0.966406 2.65518i −0.0659084 0.181082i
\(216\) −19.8185 + 14.4657i −1.34848 + 0.984264i
\(217\) −2.99646 + 1.73001i −0.203413 + 0.117441i
\(218\) −9.72646 + 8.77067i −0.658759 + 0.594025i
\(219\) 5.93333 + 4.97866i 0.400938 + 0.336427i
\(220\) 7.22725 1.81322i 0.487261 0.122247i
\(221\) 2.95704 + 1.70725i 0.198912 + 0.114842i
\(222\) −9.74686 45.6906i −0.654166 3.06655i
\(223\) −0.648948 3.68036i −0.0434567 0.246455i 0.955339 0.295511i \(-0.0954899\pi\)
−0.998796 + 0.0490557i \(0.984379\pi\)
\(224\) −11.2758 13.3383i −0.753395 0.891206i
\(225\) 22.7336 + 8.27434i 1.51557 + 0.551623i
\(226\) 7.94043 + 12.6866i 0.528190 + 0.843903i
\(227\) −14.1806 −0.941200 −0.470600 0.882347i \(-0.655963\pi\)
−0.470600 + 0.882347i \(0.655963\pi\)
\(228\) −20.0239 16.6119i −1.32612 1.10015i
\(229\) −7.84295 −0.518276 −0.259138 0.965840i \(-0.583439\pi\)
−0.259138 + 0.965840i \(0.583439\pi\)
\(230\) 1.77693 + 2.83904i 0.117167 + 0.187201i
\(231\) 33.9247 + 12.3476i 2.23208 + 0.812411i
\(232\) 7.12884 + 4.78568i 0.468031 + 0.314195i
\(233\) 0.355231 + 2.01461i 0.0232719 + 0.131982i 0.994230 0.107267i \(-0.0342100\pi\)
−0.970958 + 0.239249i \(0.923099\pi\)
\(234\) 1.45011 + 6.79772i 0.0947967 + 0.444381i
\(235\) 2.86883 + 1.65632i 0.187142 + 0.108047i
\(236\) 0.430143 + 1.71450i 0.0279999 + 0.111604i
\(237\) −7.48672 6.28210i −0.486315 0.408067i
\(238\) −13.3069 + 11.9993i −0.862558 + 0.777797i
\(239\) 19.1085 11.0323i 1.23603 0.713621i 0.267749 0.963489i \(-0.413720\pi\)
0.968280 + 0.249867i \(0.0803870\pi\)
\(240\) −10.0073 + 5.35867i −0.645966 + 0.345900i
\(241\) −3.29430 9.05100i −0.212204 0.583026i 0.787230 0.616659i \(-0.211514\pi\)
−0.999434 + 0.0336331i \(0.989292\pi\)
\(242\) 0.219214 + 6.14820i 0.0140916 + 0.395221i
\(243\) 0.285520 1.61927i 0.0183161 0.103876i
\(244\) 16.2877 + 11.7973i 1.04271 + 0.755243i
\(245\) 1.84512 1.54824i 0.117880 0.0989134i
\(246\) −2.98540 + 21.3558i −0.190342 + 1.36160i
\(247\) −3.25329 + 1.60341i −0.207002 + 0.102023i
\(248\) 2.89844 + 1.28283i 0.184051 + 0.0814601i
\(249\) 23.7203 + 28.2688i 1.50322 + 1.79146i
\(250\) 10.8044 + 5.73463i 0.683328 + 0.362690i
\(251\) 1.62834 + 0.287120i 0.102780 + 0.0181229i 0.224802 0.974405i \(-0.427827\pi\)
−0.122022 + 0.992527i \(0.538938\pi\)
\(252\) −36.2804 3.75944i −2.28545 0.236822i
\(253\) −9.16932 + 3.33736i −0.576470 + 0.209818i
\(254\) 1.39623 1.78980i 0.0876072 0.112302i
\(255\) 5.82279 + 10.0854i 0.364638 + 0.631571i
\(256\) −3.77962 + 15.5472i −0.236226 + 0.971698i
\(257\) 13.2973 15.8471i 0.829460 0.988512i −0.170535 0.985352i \(-0.554549\pi\)
0.999995 0.00316078i \(-0.00100611\pi\)
\(258\) −11.6246 + 4.70656i −0.723716 + 0.293018i
\(259\) 17.0884 29.5979i 1.06182 1.83912i
\(260\) 0.112703 + 1.57845i 0.00698952 + 0.0978916i
\(261\) 17.6585 3.11368i 1.09304 0.192732i
\(262\) 13.1936 + 4.27617i 0.815104 + 0.264183i
\(263\) −5.04518 + 13.8615i −0.311099 + 0.854738i 0.681336 + 0.731970i \(0.261399\pi\)
−0.992435 + 0.122767i \(0.960823\pi\)
\(264\) −9.18580 31.7708i −0.565347 1.95535i
\(265\) 4.12373i 0.253319i
\(266\) −2.74056 18.8346i −0.168034 1.15482i
\(267\) 2.21964i 0.135840i
\(268\) 15.0792 6.74022i 0.921110 0.411724i
\(269\) −2.61291 + 7.17890i −0.159312 + 0.437705i −0.993508 0.113762i \(-0.963710\pi\)
0.834196 + 0.551468i \(0.185932\pi\)
\(270\) −3.59683 + 11.0976i −0.218896 + 0.675378i
\(271\) 1.47921 0.260825i 0.0898557 0.0158440i −0.128540 0.991704i \(-0.541029\pi\)
0.218395 + 0.975860i \(0.429918\pi\)
\(272\) 16.0655 + 3.36561i 0.974114 + 0.204070i
\(273\) −3.83361 + 6.64001i −0.232021 + 0.401872i
\(274\) −2.93409 7.24682i −0.177255 0.437796i
\(275\) −10.3148 + 12.2927i −0.622004 + 0.741275i
\(276\) 12.3120 8.33082i 0.741093 0.501457i
\(277\) −5.63204 9.75498i −0.338397 0.586120i 0.645735 0.763562i \(-0.276551\pi\)
−0.984131 + 0.177442i \(0.943218\pi\)
\(278\) −10.1863 7.94639i −0.610934 0.476593i
\(279\) 6.22009 2.26393i 0.372387 0.135538i
\(280\) −8.06198 1.99125i −0.481795 0.119000i
\(281\) −22.5573 3.97746i −1.34566 0.237275i −0.546026 0.837769i \(-0.683860\pi\)
−0.799630 + 0.600493i \(0.794971\pi\)
\(282\) 6.89314 12.9871i 0.410481 0.773370i
\(283\) −11.9630 14.2570i −0.711128 0.847490i 0.282608 0.959235i \(-0.408800\pi\)
−0.993737 + 0.111746i \(0.964356\pi\)
\(284\) −18.3988 5.24659i −1.09177 0.311328i
\(285\) −12.3435 0.811895i −0.731168 0.0480925i
\(286\) −4.56599 0.638294i −0.269992 0.0377431i
\(287\) −12.0841 + 10.1397i −0.713299 + 0.598529i
\(288\) 16.8127 + 28.8755i 0.990699 + 1.70150i
\(289\) −0.0279168 + 0.158324i −0.00164216 + 0.00931317i
\(290\) 4.07978 0.145464i 0.239573 0.00854196i
\(291\) −9.69408 26.6343i −0.568277 1.56133i
\(292\) 3.72850 3.61115i 0.218194 0.211327i
\(293\) 17.6564 10.1939i 1.03150 0.595536i 0.114086 0.993471i \(-0.463606\pi\)
0.917414 + 0.397934i \(0.130273\pi\)
\(294\) −7.15926 7.93944i −0.417536 0.463038i
\(295\) 0.643808 + 0.540219i 0.0374840 + 0.0314528i
\(296\) −31.1296 + 3.34111i −1.80937 + 0.194198i
\(297\) −29.4341 16.9938i −1.70794 0.986079i
\(298\) 25.6459 5.47086i 1.48563 0.316918i
\(299\) −0.359857 2.04085i −0.0208111 0.118025i
\(300\) 10.6846 21.9884i 0.616875 1.26950i
\(301\) −8.62118 3.13785i −0.496917 0.180863i
\(302\) −22.9859 + 14.3866i −1.32269 + 0.827859i
\(303\) −29.3820 −1.68795
\(304\) −12.4562 + 12.2001i −0.714414 + 0.699724i
\(305\) 9.56207 0.547523
\(306\) 29.0566 18.1862i 1.66105 1.03964i
\(307\) −27.2216 9.90786i −1.55362 0.565472i −0.584357 0.811497i \(-0.698653\pi\)
−0.969263 + 0.246025i \(0.920875\pi\)
\(308\) 10.5739 21.7606i 0.602503 1.23993i
\(309\) −1.01696 5.76746i −0.0578527 0.328099i
\(310\) 1.47386 0.314409i 0.0837098 0.0178572i
\(311\) −8.00357 4.62086i −0.453841 0.262025i 0.255610 0.966780i \(-0.417724\pi\)
−0.709451 + 0.704755i \(0.751057\pi\)
\(312\) 6.98364 0.749546i 0.395371 0.0424347i
\(313\) −19.3111 16.2039i −1.09153 0.915898i −0.0946990 0.995506i \(-0.530189\pi\)
−0.996826 + 0.0796075i \(0.974633\pi\)
\(314\) 7.54193 + 8.36382i 0.425616 + 0.471997i
\(315\) −15.0187 + 8.67106i −0.846209 + 0.488559i
\(316\) −4.70464 + 4.55657i −0.264657 + 0.256327i
\(317\) 10.3833 + 28.5279i 0.583185 + 1.60229i 0.782703 + 0.622395i \(0.213840\pi\)
−0.199518 + 0.979894i \(0.563938\pi\)
\(318\) 18.2914 0.652179i 1.02573 0.0365724i
\(319\) −2.06530 + 11.7129i −0.115635 + 0.655798i
\(320\) 2.88075 + 7.04077i 0.161039 + 0.393591i
\(321\) −6.85550 + 5.75245i −0.382637 + 0.321071i
\(322\) 10.7701 + 1.50559i 0.600196 + 0.0839033i
\(323\) 12.9181 + 12.3721i 0.718782 + 0.688401i
\(324\) 15.7121 + 4.48045i 0.872896 + 0.248914i
\(325\) −2.19062 2.61068i −0.121514 0.144815i
\(326\) 11.2967 21.2836i 0.625664 1.17879i
\(327\) 27.2185 + 4.79935i 1.50519 + 0.265405i
\(328\) 14.0291 + 3.46510i 0.774630 + 0.191328i
\(329\) 10.1073 3.67874i 0.557231 0.202816i
\(330\) −12.3980 9.67178i −0.682490 0.532414i
\(331\) 10.1102 + 17.5114i 0.555707 + 0.962514i 0.997848 + 0.0655678i \(0.0208859\pi\)
−0.442141 + 0.896946i \(0.645781\pi\)
\(332\) 20.4818 13.8589i 1.12409 0.760606i
\(333\) −42.0272 + 50.0861i −2.30308 + 2.74470i
\(334\) 6.46591 + 15.9700i 0.353799 + 0.873838i
\(335\) 3.92658 6.80103i 0.214532 0.371580i
\(336\) −7.55746 + 36.0750i −0.412293 + 1.96805i
\(337\) −12.9142 + 2.27711i −0.703479 + 0.124042i −0.513934 0.857830i \(-0.671812\pi\)
−0.189545 + 0.981872i \(0.560701\pi\)
\(338\) −5.36650 + 16.5577i −0.291899 + 0.900619i
\(339\) 10.8024 29.6794i 0.586707 1.61196i
\(340\) 7.12489 3.18474i 0.386402 0.172717i
\(341\) 4.39057i 0.237763i
\(342\) −1.09365 + 36.3951i −0.0591381 + 1.96802i
\(343\) 13.7922i 0.744708i
\(344\) 2.33436 + 8.07381i 0.125860 + 0.435311i
\(345\) 2.41739 6.64172i 0.130148 0.357578i
\(346\) −29.4965 9.56009i −1.58574 0.513954i
\(347\) −4.62735 + 0.815927i −0.248409 + 0.0438013i −0.296466 0.955043i \(-0.595808\pi\)
0.0480569 + 0.998845i \(0.484697\pi\)
\(348\) −1.29046 18.0735i −0.0691758 0.968840i
\(349\) 10.8285 18.7555i 0.579636 1.00396i −0.415884 0.909418i \(-0.636528\pi\)
0.995521 0.0945424i \(-0.0301388\pi\)
\(350\) 16.5768 6.71161i 0.886068 0.358751i
\(351\) 4.63976 5.52945i 0.247652 0.295140i
\(352\) −21.8122 + 3.92859i −1.16259 + 0.209395i
\(353\) −12.4664 21.5924i −0.663519 1.14925i −0.979685 0.200544i \(-0.935729\pi\)
0.316166 0.948704i \(-0.397604\pi\)
\(354\) 2.29440 2.94114i 0.121946 0.156320i
\(355\) −8.54797 + 3.11121i −0.453679 + 0.165126i
\(356\) −1.47956 0.153315i −0.0784167 0.00812568i
\(357\) 37.2379 + 6.56605i 1.97084 + 0.347512i
\(358\) −0.459625 0.243955i −0.0242919 0.0128934i
\(359\) 15.4763 + 18.4439i 0.816807 + 0.973433i 0.999953 0.00965302i \(-0.00307270\pi\)
−0.183146 + 0.983086i \(0.558628\pi\)
\(360\) 14.5274 + 6.42975i 0.765660 + 0.338878i
\(361\) −18.5515 + 4.10380i −0.976396 + 0.215990i
\(362\) −3.69683 + 26.4450i −0.194301 + 1.38992i
\(363\) 9.94539 8.34518i 0.521998 0.438008i
\(364\) 4.16130 + 3.01405i 0.218111 + 0.157979i
\(365\) 0.428546 2.43040i 0.0224311 0.127213i
\(366\) −1.51227 42.4140i −0.0790475 2.21701i
\(367\) 3.55314 + 9.76216i 0.185472 + 0.509581i 0.997227 0.0744174i \(-0.0237097\pi\)
−0.811755 + 0.583998i \(0.801487\pi\)
\(368\) −4.70274 8.78233i −0.245147 0.457811i
\(369\) 26.1350 15.0890i 1.36053 0.785504i
\(370\) −11.0550 + 9.96866i −0.574722 + 0.518246i
\(371\) 10.2569 + 8.60658i 0.532513 + 0.446831i
\(372\) −1.62770 6.48781i −0.0843924 0.336377i
\(373\) 7.05267 + 4.07186i 0.365173 + 0.210833i 0.671348 0.741143i \(-0.265716\pi\)
−0.306174 + 0.951975i \(0.599049\pi\)
\(374\) 4.74359 + 22.2367i 0.245285 + 1.14983i
\(375\) −4.48239 25.4209i −0.231470 1.31273i
\(376\) −8.18080 5.49187i −0.421892 0.283222i
\(377\) −2.37360 0.863920i −0.122247 0.0444941i
\(378\) 20.0961 + 32.1080i 1.03363 + 1.65146i
\(379\) 26.6265 1.36771 0.683856 0.729617i \(-0.260302\pi\)
0.683856 + 0.729617i \(0.260302\pi\)
\(380\) −1.39379 + 8.17187i −0.0714998 + 0.419208i
\(381\) −4.79035 −0.245417
\(382\) 11.1888 + 17.8767i 0.572471 + 0.914652i
\(383\) 17.2405 + 6.27503i 0.880948 + 0.320639i 0.742592 0.669744i \(-0.233596\pi\)
0.138356 + 0.990383i \(0.455818\pi\)
\(384\) 30.7748 13.8915i 1.57047 0.708899i
\(385\) −1.99748 11.3283i −0.101801 0.577342i
\(386\) −2.20578 10.3401i −0.112271 0.526296i
\(387\) 15.2000 + 8.77574i 0.772661 + 0.446096i
\(388\) −18.4234 + 4.62219i −0.935308 + 0.234656i
\(389\) 13.8384 + 11.6118i 0.701634 + 0.588741i 0.922238 0.386622i \(-0.126358\pi\)
−0.220604 + 0.975364i \(0.570803\pi\)
\(390\) 2.48009 2.23638i 0.125584 0.113243i
\(391\) −8.85088 + 5.11006i −0.447608 + 0.258427i
\(392\) −5.78677 + 4.22382i −0.292276 + 0.213335i
\(393\) −10.0104 27.5033i −0.504956 1.38736i
\(394\) −1.08000 30.2903i −0.0544096 1.52600i
\(395\) −0.540742 + 3.06670i −0.0272077 + 0.154302i
\(396\) −27.1503 + 37.4846i −1.36435 + 1.88367i
\(397\) 0.378892 0.317928i 0.0190160 0.0159564i −0.633230 0.773964i \(-0.718271\pi\)
0.652246 + 0.758007i \(0.273827\pi\)
\(398\) 5.01466 35.8720i 0.251362 1.79810i
\(399\) −27.7814 + 29.0075i −1.39081 + 1.45219i
\(400\) −13.9190 8.64091i −0.695951 0.432045i
\(401\) −18.6318 22.2046i −0.930430 1.10884i −0.993837 0.110856i \(-0.964641\pi\)
0.0634064 0.997988i \(-0.479804\pi\)
\(402\) −30.7880 16.3413i −1.53556 0.815031i
\(403\) −0.918292 0.161920i −0.0457434 0.00806580i
\(404\) −2.02948 + 19.5854i −0.100970 + 0.974412i
\(405\) 7.29976 2.65689i 0.362728 0.132022i
\(406\) 8.15305 10.4512i 0.404629 0.518685i
\(407\) −21.6842 37.5581i −1.07485 1.86169i
\(408\) −15.2532 31.0998i −0.755145 1.53967i
\(409\) 4.45901 5.31404i 0.220484 0.262762i −0.644452 0.764645i \(-0.722914\pi\)
0.864936 + 0.501882i \(0.167359\pi\)
\(410\) 6.36851 2.57848i 0.314519 0.127342i
\(411\) −8.24944 + 14.2884i −0.406915 + 0.704797i
\(412\) −3.91471 + 0.279513i −0.192864 + 0.0137706i
\(413\) 2.68737 0.473855i 0.132237 0.0233169i
\(414\) −19.7909 6.41442i −0.972671 0.315251i
\(415\) 4.02149 11.0490i 0.197407 0.542372i
\(416\) −0.0172568 4.70692i −0.000846084 0.230776i
\(417\) 27.2634i 1.33509i
\(418\) −22.4369 8.93833i −1.09742 0.437188i
\(419\) 25.1365i 1.22800i 0.789307 + 0.613999i \(0.210440\pi\)
−0.789307 + 0.613999i \(0.789560\pi\)
\(420\) 7.15130 + 15.9989i 0.348948 + 0.780667i
\(421\) −8.13950 + 22.3631i −0.396695 + 1.08991i 0.567189 + 0.823588i \(0.308031\pi\)
−0.963884 + 0.266323i \(0.914191\pi\)
\(422\) −1.36987 + 4.22657i −0.0666843 + 0.205746i
\(423\) −20.2643 + 3.57314i −0.985284 + 0.173732i
\(424\) 0.828697 12.2377i 0.0402451 0.594316i
\(425\) −8.40361 + 14.5555i −0.407635 + 0.706045i
\(426\) 15.1521 + 37.4237i 0.734122 + 1.81319i
\(427\) 19.9569 23.7837i 0.965780 1.15097i
\(428\) 3.36094 + 4.96707i 0.162457 + 0.240092i
\(429\) 4.86465 + 8.42581i 0.234867 + 0.406802i
\(430\) 3.15068 + 2.45786i 0.151939 + 0.118529i
\(431\) 3.86038 1.40506i 0.185948 0.0676795i −0.247368 0.968922i \(-0.579566\pi\)
0.433316 + 0.901242i \(0.357343\pi\)
\(432\) 12.9042 32.2108i 0.620856 1.54974i
\(433\) 11.0190 + 1.94295i 0.529540 + 0.0933721i 0.432024 0.901862i \(-0.357799\pi\)
0.0975153 + 0.995234i \(0.468911\pi\)
\(434\) 2.29405 4.32213i 0.110118 0.207469i
\(435\) −5.53764 6.59950i −0.265509 0.316422i
\(436\) 5.07919 17.8118i 0.243249 0.853029i
\(437\) 0.712515 10.8326i 0.0340842 0.518195i
\(438\) −10.8482 1.51650i −0.518347 0.0724613i
\(439\) 18.6381 15.6392i 0.889549 0.746420i −0.0785707 0.996909i \(-0.525036\pi\)
0.968120 + 0.250488i \(0.0805912\pi\)
\(440\) −7.30337 + 7.59622i −0.348174 + 0.362136i
\(441\) −2.59804 + 14.7342i −0.123716 + 0.701631i
\(442\) −4.82576 + 0.172062i −0.229538 + 0.00818416i
\(443\) 5.10633 + 14.0295i 0.242609 + 0.666563i 0.999909 + 0.0134959i \(0.00429601\pi\)
−0.757300 + 0.653068i \(0.773482\pi\)
\(444\) 45.9658 + 47.4595i 2.18144 + 2.25233i
\(445\) −0.612484 + 0.353618i −0.0290345 + 0.0167631i
\(446\) 3.53931 + 3.92501i 0.167591 + 0.185855i
\(447\) −42.3915 35.5707i −2.00505 1.68244i
\(448\) 23.5248 + 7.52942i 1.11144 + 0.355732i
\(449\) 29.1082 + 16.8057i 1.37370 + 0.793108i 0.991392 0.130926i \(-0.0417950\pi\)
0.382311 + 0.924034i \(0.375128\pi\)
\(450\) −33.4606 + 7.13791i −1.57735 + 0.336484i
\(451\) 3.47594 + 19.7130i 0.163676 + 0.928250i
\(452\) −19.0375 9.25068i −0.895450 0.435116i
\(453\) 53.7738 + 19.5721i 2.52651 + 0.919576i
\(454\) 16.9993 10.6397i 0.797817 0.499345i
\(455\) 2.44298 0.114529
\(456\) 36.4679 + 4.88994i 1.70777 + 0.228993i
\(457\) 42.0825 1.96853 0.984267 0.176687i \(-0.0565381\pi\)
0.984267 + 0.176687i \(0.0565381\pi\)
\(458\) 9.40190 5.88455i 0.439322 0.274967i
\(459\) −33.4511 12.1752i −1.56136 0.568289i
\(460\) −4.26026 2.07014i −0.198636 0.0965207i
\(461\) 1.07453 + 6.09398i 0.0500460 + 0.283825i 0.999552 0.0299234i \(-0.00952635\pi\)
−0.949506 + 0.313748i \(0.898415\pi\)
\(462\) −49.9323 + 10.6517i −2.32306 + 0.495563i
\(463\) 10.3129 + 5.95417i 0.479282 + 0.276714i 0.720117 0.693852i \(-0.244088\pi\)
−0.240835 + 0.970566i \(0.577421\pi\)
\(464\) −12.1365 0.388181i −0.563424 0.0180208i
\(465\) −2.43623 2.04424i −0.112978 0.0947994i
\(466\) −1.93740 2.14853i −0.0897484 0.0995289i
\(467\) −13.8551 + 7.99927i −0.641139 + 0.370162i −0.785053 0.619428i \(-0.787364\pi\)
0.143914 + 0.989590i \(0.454031\pi\)
\(468\) −6.83867 7.06090i −0.316118 0.326390i
\(469\) −8.72105 23.9609i −0.402701 1.10641i
\(470\) −4.68181 + 0.166930i −0.215956 + 0.00769989i
\(471\) 4.12698 23.4053i 0.190161 1.07846i
\(472\) −1.80203 1.73255i −0.0829450 0.0797472i
\(473\) −8.91821 + 7.48327i −0.410060 + 0.344081i
\(474\) 13.6883 + 1.91353i 0.628725 + 0.0878915i
\(475\) −7.89250 16.0137i −0.362133 0.734759i
\(476\) 6.94890 24.3685i 0.318502 1.11693i
\(477\) −16.4651 19.6223i −0.753883 0.898443i
\(478\) −14.6292 + 27.5623i −0.669126 + 1.26067i
\(479\) 12.1768 + 2.14710i 0.556372 + 0.0981034i 0.444762 0.895649i \(-0.353288\pi\)
0.111610 + 0.993752i \(0.464399\pi\)
\(480\) 7.97583 13.9323i 0.364045 0.635917i
\(481\) 8.65500 3.15016i 0.394634 0.143635i
\(482\) 10.7401 + 8.37838i 0.489196 + 0.381625i
\(483\) −11.4746 19.8746i −0.522112 0.904325i
\(484\) −4.87577 7.20581i −0.221626 0.327537i
\(485\) −5.80503 + 6.91816i −0.263593 + 0.314138i
\(486\) 0.872660 + 2.15536i 0.0395846 + 0.0977690i
\(487\) −5.21271 + 9.02868i −0.236210 + 0.409128i −0.959624 0.281287i \(-0.909239\pi\)
0.723413 + 0.690415i \(0.242572\pi\)
\(488\) −28.3767 1.92158i −1.28455 0.0869857i
\(489\) −50.0767 + 8.82987i −2.26455 + 0.399301i
\(490\) −1.05024 + 3.24038i −0.0474448 + 0.146385i
\(491\) −5.18753 + 14.2526i −0.234110 + 0.643212i 0.765890 + 0.642972i \(0.222299\pi\)
−1.00000 0.000240450i \(0.999923\pi\)
\(492\) −12.4444 27.8407i −0.561038 1.25516i
\(493\) 12.4571i 0.561041i
\(494\) 2.69691 4.36306i 0.121340 0.196303i
\(495\) 22.0062i 0.989105i
\(496\) −4.43707 + 0.636866i −0.199230 + 0.0285961i
\(497\) −10.1019 + 27.7547i −0.453131 + 1.24497i
\(498\) −49.6453 16.0905i −2.22466 0.721032i
\(499\) −8.46511 + 1.49263i −0.378950 + 0.0668192i −0.359879 0.932999i \(-0.617182\pi\)
−0.0190713 + 0.999818i \(0.506071\pi\)
\(500\) −17.2546 + 1.23199i −0.771651 + 0.0550964i
\(501\) 18.1795 31.4878i 0.812199 1.40677i
\(502\) −2.16743 + 0.877549i −0.0967373 + 0.0391669i
\(503\) 21.2815 25.3623i 0.948895 1.13085i −0.0423882 0.999101i \(-0.513497\pi\)
0.991283 0.131748i \(-0.0420589\pi\)
\(504\) 46.3126 22.7144i 2.06293 1.01178i
\(505\) 4.68095 + 8.10764i 0.208299 + 0.360785i
\(506\) 8.48790 10.8805i 0.377333 0.483695i
\(507\) 34.5159 12.5628i 1.53291 0.557932i
\(508\) −0.330879 + 3.19314i −0.0146804 + 0.141673i
\(509\) −30.6280 5.40055i −1.35756 0.239375i −0.552970 0.833201i \(-0.686506\pi\)
−0.804593 + 0.593826i \(0.797617\pi\)
\(510\) −14.5472 7.72123i −0.644162 0.341902i
\(511\) −5.15071 6.13838i −0.227854 0.271546i
\(512\) −7.13412 21.4733i −0.315286 0.948997i
\(513\) 30.4992 22.3521i 1.34657 0.986869i
\(514\) −4.05036 + 28.9739i −0.178654 + 1.27798i
\(515\) −1.42945 + 1.19945i −0.0629891 + 0.0528541i
\(516\) 10.4039 14.3640i 0.458007 0.632340i
\(517\) 2.37007 13.4413i 0.104235 0.591149i
\(518\) 1.72222 + 48.3025i 0.0756701 + 2.12229i
\(519\) 22.3798 + 61.4881i 0.982365 + 2.69903i
\(520\) −1.31942 1.80765i −0.0578602 0.0792705i
\(521\) 23.9923 13.8520i 1.05112 0.606866i 0.128160 0.991754i \(-0.459093\pi\)
0.922964 + 0.384887i \(0.125760\pi\)
\(522\) −18.8324 + 16.9818i −0.824271 + 0.743272i
\(523\) 0.617244 + 0.517929i 0.0269902 + 0.0226474i 0.656183 0.754602i \(-0.272170\pi\)
−0.629193 + 0.777249i \(0.716614\pi\)
\(524\) −19.0245 + 4.77299i −0.831091 + 0.208509i
\(525\) −32.6842 18.8703i −1.42646 0.823566i
\(526\) −4.35225 20.4022i −0.189767 0.889577i
\(527\) 0.798538 + 4.52874i 0.0347849 + 0.197275i
\(528\) 34.8492 + 31.1938i 1.51662 + 1.35754i
\(529\) −15.7842 5.74498i −0.686269 0.249782i
\(530\) −3.09403 4.94341i −0.134396 0.214728i
\(531\) −5.22045 −0.226548
\(532\) 17.4169 + 20.5221i 0.755117 + 0.889748i
\(533\) −4.25118 −0.184139
\(534\) 1.66539 + 2.66084i 0.0720685 + 0.115146i
\(535\) 2.67950 + 0.975258i 0.115845 + 0.0421641i
\(536\) −13.0194 + 19.3939i −0.562351 + 0.837689i
\(537\) 0.190684 + 1.08142i 0.00822861 + 0.0466668i
\(538\) −2.25404 10.5663i −0.0971785 0.455546i
\(539\) −8.59443 4.96200i −0.370188 0.213728i
\(540\) −4.01473 16.0022i −0.172766 0.688624i
\(541\) 21.0196 + 17.6376i 0.903705 + 0.758299i 0.970911 0.239441i \(-0.0769640\pi\)
−0.0672060 + 0.997739i \(0.521408\pi\)
\(542\) −1.57754 + 1.42252i −0.0677611 + 0.0611024i
\(543\) 48.8001 28.1747i 2.09421 1.20909i
\(544\) −21.7841 + 8.01932i −0.933985 + 0.343826i
\(545\) −3.01194 8.27524i −0.129017 0.354472i
\(546\) −0.386364 10.8362i −0.0165349 0.463747i
\(547\) −6.63465 + 37.6270i −0.283677 + 1.60881i 0.426295 + 0.904584i \(0.359818\pi\)
−0.709972 + 0.704229i \(0.751293\pi\)
\(548\) 8.95457 + 6.48583i 0.382520 + 0.277061i
\(549\) −45.5000 + 38.1790i −1.94189 + 1.62944i
\(550\) 3.14188 22.4752i 0.133970 0.958347i
\(551\) −11.0005 7.35398i −0.468638 0.313290i
\(552\) −8.50863 + 19.2244i −0.362151 + 0.818245i
\(553\) 6.49920 + 7.74545i 0.276374 + 0.329370i
\(554\) 14.0707 + 7.46828i 0.597806 + 0.317297i
\(555\) 30.9363 + 5.45490i 1.31317 + 0.231548i
\(556\) 18.1732 + 1.88314i 0.770715 + 0.0798629i
\(557\) 33.4845 12.1874i 1.41878 0.516395i 0.485089 0.874465i \(-0.338787\pi\)
0.933695 + 0.358069i \(0.116565\pi\)
\(558\) −5.75785 + 7.38086i −0.243749 + 0.312457i
\(559\) −1.23624 2.14123i −0.0522873 0.0905642i
\(560\) 11.1585 3.66183i 0.471532 0.154741i
\(561\) 30.8422 36.7562i 1.30216 1.55185i
\(562\) 30.0253 12.1566i 1.26654 0.512797i
\(563\) 2.01778 3.49489i 0.0850391 0.147292i −0.820369 0.571835i \(-0.806232\pi\)
0.905408 + 0.424543i \(0.139565\pi\)
\(564\) 1.48088 + 20.7405i 0.0623564 + 0.873331i
\(565\) −9.91067 + 1.74752i −0.416945 + 0.0735186i
\(566\) 25.0379 + 8.11502i 1.05242 + 0.341100i
\(567\) 8.62675 23.7018i 0.362289 0.995382i
\(568\) 25.9925 7.51514i 1.09062 0.315328i
\(569\) 22.5123i 0.943765i 0.881661 + 0.471883i \(0.156425\pi\)
−0.881661 + 0.471883i \(0.843575\pi\)
\(570\) 15.4062 8.28806i 0.645296 0.347149i
\(571\) 2.03284i 0.0850718i 0.999095 + 0.0425359i \(0.0135437\pi\)
−0.999095 + 0.0425359i \(0.986456\pi\)
\(572\) 5.95248 2.66068i 0.248886 0.111249i
\(573\) 15.2217 41.8212i 0.635894 1.74710i
\(574\) 6.87820 21.2219i 0.287091 0.885784i
\(575\) 10.0457 1.77133i 0.418935 0.0738696i
\(576\) −41.8198 22.0005i −1.74249 0.916689i
\(577\) −21.0040 + 36.3800i −0.874409 + 1.51452i −0.0170172 + 0.999855i \(0.505417\pi\)
−0.857391 + 0.514665i \(0.827916\pi\)
\(578\) −0.0853243 0.210740i −0.00354902 0.00876563i
\(579\) −14.3416 + 17.0917i −0.596018 + 0.710307i
\(580\) −4.78159 + 3.23543i −0.198545 + 0.134344i
\(581\) −19.0888 33.0628i −0.791936 1.37167i
\(582\) 31.6046 + 24.6549i 1.31005 + 1.02198i
\(583\) 15.9658 5.81109i 0.661237 0.240671i
\(584\) −1.76018 + 7.12643i −0.0728366 + 0.294894i
\(585\) −4.60262 0.811565i −0.190295 0.0335541i
\(586\) −13.5175 + 25.4678i −0.558404 + 1.05206i
\(587\) −0.130312 0.155300i −0.00537856 0.00640992i 0.763348 0.645987i \(-0.223554\pi\)
−0.768727 + 0.639577i \(0.779110\pi\)
\(588\) 14.5393 + 4.14600i 0.599589 + 0.170978i
\(589\) −4.47060 1.96834i −0.184208 0.0811041i
\(590\) −1.17710 0.164551i −0.0484606 0.00677447i
\(591\) −48.9979 + 41.1142i −2.01551 + 1.69121i
\(592\) 34.8105 27.3617i 1.43070 1.12456i
\(593\) −3.92427 + 22.2556i −0.161150 + 0.913930i 0.791795 + 0.610787i \(0.209147\pi\)
−0.952945 + 0.303143i \(0.901964\pi\)
\(594\) 48.0352 1.71269i 1.97091 0.0702725i
\(595\) −4.12067 11.3215i −0.168931 0.464134i
\(596\) −26.6388 + 25.8004i −1.09117 + 1.05682i
\(597\) −66.1962 + 38.2184i −2.70923 + 1.56417i
\(598\) 1.96263 + 2.17651i 0.0802580 + 0.0890042i
\(599\) −24.7817 20.7943i −1.01255 0.849632i −0.0238789 0.999715i \(-0.507602\pi\)
−0.988673 + 0.150083i \(0.952046\pi\)
\(600\) 3.68950 + 34.3757i 0.150623 + 1.40338i
\(601\) 30.9510 + 17.8696i 1.26252 + 0.728915i 0.973561 0.228427i \(-0.0733583\pi\)
0.288957 + 0.957342i \(0.406692\pi\)
\(602\) 12.6891 2.70689i 0.517171 0.110325i
\(603\) 8.47071 + 48.0398i 0.344954 + 1.95633i
\(604\) 16.7606 34.4926i 0.681979 1.40348i
\(605\) −3.88719 1.41482i −0.158037 0.0575207i
\(606\) 35.2223 22.0453i 1.43081 0.895528i
\(607\) −35.8454 −1.45492 −0.727460 0.686150i \(-0.759299\pi\)
−0.727460 + 0.686150i \(0.759299\pi\)
\(608\) 5.77845 23.9710i 0.234347 0.972153i
\(609\) −27.9724 −1.13350
\(610\) −11.4627 + 7.17440i −0.464113 + 0.290483i
\(611\) 2.72386 + 0.991403i 0.110196 + 0.0401079i
\(612\) −21.1871 + 43.6022i −0.856438 + 1.76251i
\(613\) −2.07723 11.7805i −0.0838984 0.475812i −0.997589 0.0694008i \(-0.977891\pi\)
0.913690 0.406411i \(-0.133220\pi\)
\(614\) 40.0664 8.54708i 1.61695 0.344932i
\(615\) −12.5567 7.24962i −0.506335 0.292333i
\(616\) 3.65128 + 34.0196i 0.147114 + 1.37069i
\(617\) −12.3624 10.3733i −0.497691 0.417612i 0.359082 0.933306i \(-0.383090\pi\)
−0.856773 + 0.515694i \(0.827534\pi\)
\(618\) 5.54641 + 6.15084i 0.223109 + 0.247423i
\(619\) −21.6900 + 12.5227i −0.871796 + 0.503332i −0.867945 0.496661i \(-0.834559\pi\)
−0.00385145 + 0.999993i \(0.501226\pi\)
\(620\) −1.53092 + 1.48274i −0.0614834 + 0.0595483i
\(621\) 7.38940 + 20.3022i 0.296526 + 0.814700i
\(622\) 13.0615 0.465706i 0.523718 0.0186731i
\(623\) −0.398756 + 2.26146i −0.0159758 + 0.0906034i
\(624\) −7.80941 + 6.13835i −0.312627 + 0.245731i
\(625\) 9.38717 7.87677i 0.375487 0.315071i
\(626\) 35.3073 + 4.93572i 1.41116 + 0.197271i
\(627\) 14.2509 + 48.9346i 0.569126 + 1.95426i
\(628\) −15.3164 4.36761i −0.611191 0.174287i
\(629\) −29.1974 34.7962i −1.16418 1.38741i
\(630\) 11.4981 21.6631i 0.458096 0.863080i
\(631\) −33.3599 5.88225i −1.32804 0.234169i −0.535781 0.844357i \(-0.679983\pi\)
−0.792257 + 0.610188i \(0.791094\pi\)
\(632\) 2.22100 8.99218i 0.0883467 0.357690i
\(633\) 8.81066 3.20682i 0.350192 0.127460i
\(634\) −33.8517 26.4079i −1.34442 1.04879i
\(635\) 0.763166 + 1.32184i 0.0302853 + 0.0524557i
\(636\) −21.4379 + 14.5058i −0.850067 + 0.575193i
\(637\) 1.35476 1.61454i 0.0536775 0.0639704i
\(638\) −6.31236 15.5907i −0.249909 0.617242i
\(639\) 28.2522 48.9343i 1.11764 1.93581i
\(640\) −8.73604 6.27885i −0.345322 0.248193i
\(641\) −7.27625 + 1.28300i −0.287395 + 0.0506755i −0.315487 0.948930i \(-0.602168\pi\)
0.0280923 + 0.999605i \(0.491057\pi\)
\(642\) 3.90213 12.0395i 0.154005 0.475163i
\(643\) 15.7177 43.1840i 0.619845 1.70301i −0.0875217 0.996163i \(-0.527895\pi\)
0.707366 0.706847i \(-0.249883\pi\)
\(644\) −14.0406 + 6.27595i −0.553276 + 0.247307i
\(645\) 8.43271i 0.332038i
\(646\) −24.7686 5.13888i −0.974507 0.202187i
\(647\) 41.8157i 1.64394i −0.569529 0.821971i \(-0.692874\pi\)
0.569529 0.821971i \(-0.307126\pi\)
\(648\) −22.1969 + 6.41774i −0.871978 + 0.252113i
\(649\) 1.18432 3.25390i 0.0464887 0.127727i
\(650\) 4.58484 + 1.48599i 0.179832 + 0.0582853i
\(651\) −10.1692 + 1.79311i −0.398564 + 0.0702776i
\(652\) 2.42691 + 33.9900i 0.0950450 + 1.33115i
\(653\) 12.8848 22.3172i 0.504223 0.873339i −0.495766 0.868456i \(-0.665112\pi\)
0.999988 0.00488267i \(-0.00155421\pi\)
\(654\) −36.2297 + 14.6687i −1.41669 + 0.573590i
\(655\) −5.99443 + 7.14388i −0.234222 + 0.279135i
\(656\) −19.4176 + 6.37218i −0.758129 + 0.248792i
\(657\) 7.66483 + 13.2759i 0.299034 + 0.517941i
\(658\) −9.35614 + 11.9934i −0.364740 + 0.467552i
\(659\) 20.9947 7.64146i 0.817839 0.297669i 0.100981 0.994888i \(-0.467802\pi\)
0.716858 + 0.697219i \(0.245580\pi\)
\(660\) 22.1191 + 2.29202i 0.860986 + 0.0892169i
\(661\) 29.7635 + 5.24811i 1.15767 + 0.204128i 0.719320 0.694679i \(-0.244454\pi\)
0.438346 + 0.898807i \(0.355565\pi\)
\(662\) −25.2586 13.4065i −0.981703 0.521058i
\(663\) 6.55017 + 7.80619i 0.254388 + 0.303167i
\(664\) −14.1547 + 31.9811i −0.549309 + 1.24111i
\(665\) 12.4302 + 3.04470i 0.482024 + 0.118068i
\(666\) 12.8015 91.5747i 0.496049 3.54845i
\(667\) 5.79169 4.85980i 0.224255 0.188172i
\(668\) −19.7334 14.2930i −0.763508 0.553012i
\(669\) 1.93673 10.9837i 0.0748782 0.424656i
\(670\) 0.395734 + 11.0990i 0.0152885 + 0.428791i
\(671\) −13.4747 37.0215i −0.520185 1.42920i
\(672\) −18.0073 48.9160i −0.694648 1.88698i
\(673\) −13.8432 + 7.99236i −0.533615 + 0.308083i −0.742487 0.669860i \(-0.766354\pi\)
0.208872 + 0.977943i \(0.433021\pi\)
\(674\) 13.7726 12.4192i 0.530501 0.478370i
\(675\) 27.2177 + 22.8384i 1.04761 + 0.879050i
\(676\) −5.99000 23.8753i −0.230384 0.918283i
\(677\) −15.2731 8.81795i −0.586994 0.338901i 0.176914 0.984226i \(-0.443389\pi\)
−0.763908 + 0.645325i \(0.776722\pi\)
\(678\) 9.31877 + 43.6838i 0.357885 + 1.67767i
\(679\) 5.09190 + 28.8776i 0.195409 + 1.10822i
\(680\) −6.15162 + 9.16356i −0.235904 + 0.351407i
\(681\) −39.7685 14.4746i −1.52393 0.554667i
\(682\) −3.29424 5.26329i −0.126143 0.201542i
\(683\) −28.6039 −1.09450 −0.547249 0.836970i \(-0.684325\pi\)
−0.547249 + 0.836970i \(0.684325\pi\)
\(684\) −25.9961 44.4499i −0.993986 1.69959i
\(685\) 5.25698 0.200859
\(686\) −10.3483 16.5337i −0.395098 0.631259i
\(687\) −21.9950 8.00553i −0.839162 0.305430i
\(688\) −8.85613 7.92718i −0.337637 0.302221i
\(689\) 0.626591 + 3.55358i 0.0238712 + 0.135380i
\(690\) 2.08537 + 9.77566i 0.0793889 + 0.372153i
\(691\) 4.66323 + 2.69231i 0.177397 + 0.102420i 0.586069 0.810261i \(-0.300675\pi\)
−0.408672 + 0.912681i \(0.634008\pi\)
\(692\) 42.5325 10.6708i 1.61684 0.405644i
\(693\) 54.7358 + 45.9288i 2.07924 + 1.74469i
\(694\) 4.93495 4.45000i 0.187328 0.168920i
\(695\) 7.52302 4.34342i 0.285365 0.164755i
\(696\) 15.1075 + 20.6977i 0.572647 + 0.784545i
\(697\) 7.17064 + 19.7012i 0.271607 + 0.746235i
\(698\) 1.09133 + 30.6082i 0.0413075 + 1.15854i
\(699\) −1.06016 + 6.01244i −0.0400988 + 0.227411i
\(700\) −14.8361 + 20.4832i −0.560752 + 0.774193i
\(701\) 4.35970 3.65823i 0.164664 0.138169i −0.556732 0.830692i \(-0.687945\pi\)
0.721396 + 0.692523i \(0.243501\pi\)
\(702\) −1.41327 + 10.1098i −0.0533406 + 0.381568i
\(703\) 47.9639 5.24172i 1.80899 0.197695i
\(704\) 23.2002 21.0751i 0.874392 0.794299i
\(705\) 6.35479 + 7.57335i 0.239335 + 0.285229i
\(706\) 31.1451 + 16.5309i 1.17216 + 0.622147i
\(707\) 29.9356 + 5.27845i 1.12584 + 0.198517i
\(708\) −0.543729 + 5.24724i −0.0204346 + 0.197204i
\(709\) −28.6122 + 10.4140i −1.07455 + 0.391105i −0.817877 0.575393i \(-0.804849\pi\)
−0.256675 + 0.966498i \(0.582627\pi\)
\(710\) 7.91273 10.1432i 0.296959 0.380666i
\(711\) −9.67154 16.7516i −0.362711 0.628234i
\(712\) 1.88869 0.926324i 0.0707817 0.0347155i
\(713\) 1.79402 2.13802i 0.0671864 0.0800697i
\(714\) −49.5663 + 20.0684i −1.85497 + 0.751040i
\(715\) 1.55001 2.68469i 0.0579669 0.100402i
\(716\) 0.734024 0.0524098i 0.0274318 0.00195865i
\(717\) 64.8496 11.4347i 2.42185 0.427038i
\(718\) −32.3910 10.4982i −1.20882 0.391790i
\(719\) 2.98701 8.20674i 0.111397 0.306060i −0.871450 0.490484i \(-0.836820\pi\)
0.982847 + 0.184425i \(0.0590421\pi\)
\(720\) −22.2392 + 3.19206i −0.828807 + 0.118961i
\(721\) 6.05882i 0.225642i
\(722\) 19.1600 18.8387i 0.713060 0.701103i
\(723\) 28.7455i 1.06906i
\(724\) −15.4100 34.4752i −0.572707 1.28126i
\(725\) 4.25249 11.6836i 0.157933 0.433919i
\(726\) −5.66088 + 17.4660i −0.210095 + 0.648223i
\(727\) −21.6522 + 3.81787i −0.803036 + 0.141597i −0.560078 0.828440i \(-0.689229\pi\)
−0.242958 + 0.970037i \(0.578118\pi\)
\(728\) −7.24988 0.490937i −0.268698 0.0181954i
\(729\) 14.7074 25.4740i 0.544719 0.943481i
\(730\) 1.30980 + 3.23504i 0.0484779 + 0.119734i
\(731\) −7.83782 + 9.34075i −0.289892 + 0.345480i
\(732\) 33.6360 + 49.7100i 1.24322 + 1.83733i
\(733\) 10.4654 + 18.1267i 0.386549 + 0.669523i 0.991983 0.126373i \(-0.0403335\pi\)
−0.605433 + 0.795896i \(0.707000\pi\)
\(734\) −11.5839 9.03669i −0.427571 0.333550i
\(735\) 6.75485 2.45856i 0.249156 0.0906855i
\(736\) 12.2269 + 6.99955i 0.450689 + 0.258007i
\(737\) −31.8648 5.61863i −1.17376 0.206965i
\(738\) −20.0086 + 37.6973i −0.736526 + 1.38766i
\(739\) −9.03080 10.7625i −0.332203 0.395905i 0.573925 0.818908i \(-0.305420\pi\)
−0.906128 + 0.423003i \(0.860976\pi\)
\(740\) 5.77296 20.2447i 0.212218 0.744210i
\(741\) −10.7603 + 1.17593i −0.395288 + 0.0431989i
\(742\) −18.7532 2.62157i −0.688452 0.0962408i
\(743\) −15.7144 + 13.1860i −0.576506 + 0.483746i −0.883798 0.467869i \(-0.845022\pi\)
0.307291 + 0.951615i \(0.400577\pi\)
\(744\) 6.81904 + 6.55614i 0.249998 + 0.240360i
\(745\) −3.06180 + 17.3644i −0.112176 + 0.636181i
\(746\) −11.5096 + 0.410375i −0.421398 + 0.0150249i
\(747\) 24.9800 + 68.6321i 0.913971 + 2.51112i
\(748\) −22.3706 23.0976i −0.817951 0.844531i
\(749\) 8.01809 4.62925i 0.292975 0.169149i
\(750\) 24.4466 + 27.1107i 0.892664 + 0.989943i
\(751\) 25.9874 + 21.8061i 0.948295 + 0.795714i 0.979010 0.203814i \(-0.0653338\pi\)
−0.0307144 + 0.999528i \(0.509778\pi\)
\(752\) 13.9274 + 0.445462i 0.507882 + 0.0162443i
\(753\) 4.27350 + 2.46731i 0.155735 + 0.0899136i
\(754\) 3.49360 0.745266i 0.127229 0.0271410i
\(755\) −3.16619 17.9564i −0.115230 0.653499i
\(756\) −48.1812 23.4121i −1.75233 0.851491i
\(757\) −26.8038 9.75577i −0.974199 0.354580i −0.194617 0.980879i \(-0.562346\pi\)
−0.779582 + 0.626300i \(0.784569\pi\)
\(758\) −31.9191 + 19.9778i −1.15935 + 0.725628i
\(759\) −29.1213 −1.05704
\(760\) −4.46051 10.8420i −0.161800 0.393279i
\(761\) 16.4874 0.597667 0.298834 0.954305i \(-0.403402\pi\)
0.298834 + 0.954305i \(0.403402\pi\)
\(762\) 5.74253 3.59419i 0.208030 0.130204i
\(763\) −26.8691 9.77956i −0.972727 0.354044i
\(764\) −26.8257 13.0351i −0.970521 0.471594i
\(765\) 4.00239 + 22.6987i 0.144707 + 0.820673i
\(766\) −25.3756 + 5.41319i −0.916856 + 0.195587i
\(767\) 0.636879 + 0.367702i 0.0229964 + 0.0132770i
\(768\) −26.4691 + 39.7430i −0.955123 + 1.43410i
\(769\) 1.90875 + 1.60163i 0.0688314 + 0.0577564i 0.676554 0.736393i \(-0.263472\pi\)
−0.607723 + 0.794149i \(0.707917\pi\)
\(770\) 10.8941 + 12.0813i 0.392596 + 0.435380i
\(771\) 53.4668 30.8691i 1.92556 1.11172i
\(772\) 10.4024 + 10.7404i 0.374389 + 0.386555i
\(773\) −0.00136352