Properties

Label 76.2.k.a.51.7
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 51.7
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.947064 - 1.05027i) q^{2} +(-2.80443 - 1.02073i) q^{3} +(-0.206140 - 1.98935i) q^{4} +(-0.165124 - 0.936467i) q^{5} +(-3.72802 + 1.97872i) q^{6} +(2.67390 + 1.54378i) q^{7} +(-2.28458 - 1.66754i) q^{8} +(4.52481 + 3.79677i) q^{9} +O(q^{10})\) \(q+(0.947064 - 1.05027i) q^{2} +(-2.80443 - 1.02073i) q^{3} +(-0.206140 - 1.98935i) q^{4} +(-0.165124 - 0.936467i) q^{5} +(-3.72802 + 1.97872i) q^{6} +(2.67390 + 1.54378i) q^{7} +(-2.28458 - 1.66754i) q^{8} +(4.52481 + 3.79677i) q^{9} +(-1.13993 - 0.713469i) q^{10} +(3.39303 - 1.95897i) q^{11} +(-1.45248 + 5.78940i) q^{12} +(-0.284588 - 0.781900i) q^{13} +(4.15373 - 1.34626i) q^{14} +(-0.492800 + 2.79481i) q^{15} +(-3.91501 + 0.820168i) 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} +(1.15597 - 5.41887i) q^{22} +(-2.45271 - 0.432479i) q^{23} +(4.70485 + 7.00844i) q^{24} +(3.84876 - 1.40083i) q^{25} +(-1.09073 - 0.441614i) q^{26} +(-4.33744 - 7.51266i) q^{27} +(2.51991 - 5.63755i) q^{28} +(1.95130 - 2.32547i) q^{29} +(2.46859 + 3.16443i) q^{30} +(-0.560318 + 0.970499i) q^{31} +(-2.84637 + 4.88858i) q^{32} +(-11.5151 + 2.03042i) q^{33} +(-0.206785 + 5.79963i) q^{34} +(1.00417 - 2.75893i) q^{35} +(6.62035 - 9.78410i) q^{36} +11.0692i q^{37} +(4.99940 + 3.60638i) q^{38} +2.48327i q^{39} +(-1.18435 + 2.41479i) q^{40} +(1.74742 - 4.80099i) q^{41} +(-13.0230 - 0.464335i) q^{42} +(-2.92630 + 0.515985i) q^{43} +(-4.59650 - 6.34610i) q^{44} +(2.80839 - 4.86428i) q^{45} +(-2.77709 + 2.16642i) q^{46} +(2.23924 - 2.66862i) q^{47} +(11.8166 + 1.69607i) q^{48} +(1.26648 + 2.19361i) q^{49} +(2.17376 - 5.36892i) q^{50} +(11.5082 - 4.18863i) q^{51} +(-1.49681 + 0.727326i) q^{52} +(-4.27071 - 0.753042i) q^{53} +(-11.9982 - 2.55948i) 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} +(5.66143 + 0.404230i) q^{60} +(-1.74615 + 9.90290i) q^{61} +(0.488630 + 1.50761i) q^{62} +(6.23753 + 17.1375i) q^{63} +(2.43864 + 7.61925i) q^{64} +(-0.685231 + 0.395618i) q^{65} +(-8.77304 + 14.0169i) q^{66} +(-6.32640 - 5.30848i) q^{67} +(5.89535 + 5.70980i) q^{68} +(6.43701 + 3.71641i) q^{69} +(-1.94662 - 3.66754i) q^{70} +(1.66114 + 9.42079i) q^{71} +(-4.00606 - 16.2193i) q^{72} +(2.43877 + 0.887641i) q^{73} +(11.6257 + 10.4832i) q^{74} -12.2235 q^{75} +(8.52243 - 1.83526i) q^{76} +12.0968 q^{77} +(2.60811 + 2.35182i) q^{78} +(3.07726 + 1.12003i) q^{79} +(1.41452 + 3.53085i) q^{80} +(1.41857 + 8.04512i) q^{81} +(-3.38743 - 6.38210i) q^{82} +(-10.7084 - 6.18250i) q^{83} +(-12.8213 + 13.2380i) q^{84} +(2.98921 + 2.50824i) q^{85} +(-2.22947 + 3.56208i) q^{86} +(-7.84597 + 4.52987i) q^{87} +(-11.0183 - 1.18258i) q^{88} +(-0.254375 - 0.698890i) q^{89} +(-2.44909 - 7.55636i) q^{90} +(0.446118 - 2.53006i) q^{91} +(-0.354750 + 4.96844i) 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} +(3.50333 + 0.747341i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.947064 1.05027i 0.669675 0.742654i
\(3\) −2.80443 1.02073i −1.61914 0.589319i −0.635921 0.771754i \(-0.719380\pi\)
−0.983218 + 0.182435i \(0.941602\pi\)
\(4\) −0.206140 1.98935i −0.103070 0.994674i
\(5\) −0.165124 0.936467i −0.0738459 0.418801i −0.999211 0.0397232i \(-0.987352\pi\)
0.925365 0.379078i \(-0.123759\pi\)
\(6\) −3.72802 + 1.97872i −1.52196 + 0.807808i
\(7\) 2.67390 + 1.54378i 1.01064 + 0.583492i 0.911378 0.411569i \(-0.135019\pi\)
0.0992597 + 0.995062i \(0.468353\pi\)
\(8\) −2.28458 1.66754i −0.807722 0.589563i
\(9\) 4.52481 + 3.79677i 1.50827 + 1.26559i
\(10\) −1.13993 0.713469i −0.360477 0.225619i
\(11\) 3.39303 1.95897i 1.02304 0.590651i 0.108055 0.994145i \(-0.465538\pi\)
0.914982 + 0.403494i \(0.132205\pi\)
\(12\) −1.45248 + 5.78940i −0.419295 + 1.67126i
\(13\) −0.284588 0.781900i −0.0789306 0.216860i 0.893951 0.448166i \(-0.147922\pi\)
−0.972881 + 0.231306i \(0.925700\pi\)
\(14\) 4.15373 1.34626i 1.11013 0.359804i
\(15\) −0.492800 + 2.79481i −0.127240 + 0.721616i
\(16\) −3.91501 + 0.820168i −0.978753 + 0.205042i
\(17\) −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
\(22\) 1.15597 5.41887i 0.246454 1.15531i
\(23\) −2.45271 0.432479i −0.511425 0.0901780i −0.0880203 0.996119i \(-0.528054\pi\)
−0.423405 + 0.905941i \(0.639165\pi\)
\(24\) 4.70485 + 7.00844i 0.960374 + 1.43059i
\(25\) 3.84876 1.40083i 0.769752 0.280167i
\(26\) −1.09073 0.441614i −0.213910 0.0866076i
\(27\) −4.33744 7.51266i −0.834740 1.44581i
\(28\) 2.51991 5.63755i 0.476218 1.06540i
\(29\) 1.95130 2.32547i 0.362347 0.431829i −0.553813 0.832641i \(-0.686828\pi\)
0.916160 + 0.400812i \(0.131272\pi\)
\(30\) 2.46859 + 3.16443i 0.450701 + 0.577744i
\(31\) −0.560318 + 0.970499i −0.100636 + 0.174307i −0.911947 0.410308i \(-0.865421\pi\)
0.811311 + 0.584615i \(0.198754\pi\)
\(32\) −2.84637 + 4.88858i −0.503172 + 0.864186i
\(33\) −11.5151 + 2.03042i −2.00452 + 0.353451i
\(34\) −0.206785 + 5.79963i −0.0354634 + 0.994628i
\(35\) 1.00417 2.75893i 0.169736 0.466345i
\(36\) 6.62035 9.78410i 1.10339 1.63068i
\(37\) 11.0692i 1.81976i 0.414866 + 0.909882i \(0.363828\pi\)
−0.414866 + 0.909882i \(0.636172\pi\)
\(38\) 4.99940 + 3.60638i 0.811011 + 0.585032i
\(39\) 2.48327i 0.397642i
\(40\) −1.18435 + 2.41479i −0.187263 + 0.381812i
\(41\) 1.74742 4.80099i 0.272901 0.749788i −0.725220 0.688517i \(-0.758262\pi\)
0.998121 0.0612717i \(-0.0195156\pi\)
\(42\) −13.0230 0.464335i −2.00950 0.0716485i
\(43\) −2.92630 + 0.515985i −0.446256 + 0.0786870i −0.392260 0.919854i \(-0.628307\pi\)
−0.0539956 + 0.998541i \(0.517196\pi\)
\(44\) −4.59650 6.34610i −0.692949 0.956710i
\(45\) 2.80839 4.86428i 0.418651 0.725124i
\(46\) −2.77709 + 2.16642i −0.409460 + 0.319422i
\(47\) 2.23924 2.66862i 0.326627 0.389259i −0.577594 0.816324i \(-0.696008\pi\)
0.904221 + 0.427066i \(0.140453\pi\)
\(48\) 11.8166 + 1.69607i 1.70557 + 0.244806i
\(49\) 1.26648 + 2.19361i 0.180926 + 0.313373i
\(50\) 2.17376 5.36892i 0.307417 0.759280i
\(51\) 11.5082 4.18863i 1.61147 0.586525i
\(52\) −1.49681 + 0.727326i −0.207570 + 0.100862i
\(53\) −4.27071 0.753042i −0.586627 0.103438i −0.127546 0.991833i \(-0.540710\pi\)
−0.459081 + 0.888394i \(0.651821\pi\)
\(54\) −11.9982 2.55948i −1.63274 0.348302i
\(55\) −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 −0.597651 0.801756i \(-0.703899\pi\)
0.685795 + 0.727795i \(0.259455\pi\)
\(60\) 5.66143 + 0.404230i 0.730887 + 0.0521858i
\(61\) −1.74615 + 9.90290i −0.223571 + 1.26794i 0.641826 + 0.766850i \(0.278177\pi\)
−0.865398 + 0.501086i \(0.832934\pi\)
\(62\) 0.488630 + 1.50761i 0.0620561 + 0.191467i
\(63\) 6.23753 + 17.1375i 0.785855 + 2.15912i
\(64\) 2.43864 + 7.61925i 0.304830 + 0.952407i
\(65\) −0.685231 + 0.395618i −0.0849924 + 0.0490704i
\(66\) −8.77304 + 14.0169i −1.07989 + 1.72536i
\(67\) −6.32640 5.30848i −0.772893 0.648535i 0.168555 0.985692i \(-0.446090\pi\)
−0.941448 + 0.337158i \(0.890534\pi\)
\(68\) 5.89535 + 5.70980i 0.714916 + 0.692415i
\(69\) 6.43701 + 3.71641i 0.774925 + 0.447403i
\(70\) −1.94662 3.66754i −0.232665 0.438354i
\(71\) 1.66114 + 9.42079i 0.197141 + 1.11804i 0.909337 + 0.416061i \(0.136590\pi\)
−0.712195 + 0.701981i \(0.752299\pi\)
\(72\) −4.00606 16.2193i −0.472119 1.91147i
\(73\) 2.43877 + 0.887641i 0.285437 + 0.103891i 0.480771 0.876846i \(-0.340357\pi\)
−0.195334 + 0.980737i \(0.562579\pi\)
\(74\) 11.6257 + 10.4832i 1.35146 + 1.21865i
\(75\) −12.2235 −1.41144
\(76\) 8.52243 1.83526i 0.977590 0.210519i
\(77\) 12.0968 1.37856
\(78\) 2.60811 + 2.35182i 0.295310 + 0.266291i
\(79\) 3.07726 + 1.12003i 0.346219 + 0.126013i 0.509276 0.860603i \(-0.329913\pi\)
−0.163057 + 0.986617i \(0.552135\pi\)
\(80\) 1.41452 + 3.53085i 0.158149 + 0.394761i
\(81\) 1.41857 + 8.04512i 0.157619 + 0.893903i
\(82\) −3.38743 6.38210i −0.374079 0.704786i
\(83\) −10.7084 6.18250i −1.17540 0.678618i −0.220455 0.975397i \(-0.570754\pi\)
−0.954946 + 0.296779i \(0.904087\pi\)
\(84\) −12.8213 + 13.2380i −1.39892 + 1.44438i
\(85\) 2.98921 + 2.50824i 0.324225 + 0.272057i
\(86\) −2.22947 + 3.56208i −0.240409 + 0.384109i
\(87\) −7.84597 + 4.52987i −0.841176 + 0.485653i
\(88\) −11.0183 1.18258i −1.17456 0.126064i
\(89\) −0.254375 0.698890i −0.0269637 0.0740822i 0.925480 0.378795i \(-0.123662\pi\)
−0.952444 + 0.304713i \(0.901439\pi\)
\(90\) −2.44909 7.55636i −0.258156 0.796510i
\(91\) 0.446118 2.53006i 0.0467658 0.265222i
\(92\) −0.354750 + 4.96844i −0.0369852 + 0.517996i
\(93\) 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 \(0.937921\pi\)
\(98\) 3.50333 + 0.747341i 0.353890 + 0.0754929i
\(99\) 22.7906 + 4.01859i 2.29054 + 0.403884i
\(100\) −3.58013 7.36775i −0.358013 0.736775i
\(101\) −9.25142 + 3.36724i −0.920550 + 0.335053i −0.758457 0.651723i \(-0.774047\pi\)
−0.162093 + 0.986776i \(0.551824\pi\)
\(102\) 6.49977 16.0536i 0.643573 1.58954i
\(103\) 0.981169 + 1.69943i 0.0966774 + 0.167450i 0.910307 0.413933i \(-0.135845\pi\)
−0.813630 + 0.581383i \(0.802512\pi\)
\(104\) −0.653681 + 2.26088i −0.0640987 + 0.221697i
\(105\) −5.63225 + 6.71225i −0.549651 + 0.655049i
\(106\) −4.83554 + 3.77223i −0.469669 + 0.366391i
\(107\) 1.49933 2.59691i 0.144945 0.251053i −0.784407 0.620246i \(-0.787033\pi\)
0.929353 + 0.369193i \(0.120366\pi\)
\(108\) −14.0512 + 10.1773i −1.35208 + 0.979314i
\(109\) 9.12021 1.60814i 0.873558 0.154032i 0.281144 0.959666i \(-0.409286\pi\)
0.592414 + 0.805634i \(0.298175\pi\)
\(110\) −5.26547 0.187740i −0.502043 0.0179003i
\(111\) 11.2987 31.0428i 1.07242 2.94645i
\(112\) −11.7345 3.85086i −1.10881 0.363872i
\(113\) 10.5830i 0.995568i −0.867301 0.497784i \(-0.834147\pi\)
0.867301 0.497784i \(-0.165853\pi\)
\(114\) −10.3394 15.2169i −0.968369 1.42519i
\(115\) 2.36829i 0.220845i
\(116\) −5.02841 3.40245i −0.466876 0.315909i
\(117\) 1.68098 4.61847i 0.155407 0.426977i
\(118\) 0.0445369 1.24911i 0.00409996 0.114990i
\(119\) −12.4775 + 2.20012i −1.14381 + 0.201684i
\(120\) 5.78629 5.56321i 0.528213 0.507849i
\(121\) 2.17510 3.76738i 0.197736 0.342489i
\(122\) 8.74701 + 11.2126i 0.791917 + 1.01514i
\(123\) −9.80102 + 11.6804i −0.883728 + 1.05319i
\(124\) 2.04616 + 0.914609i 0.183751 + 0.0821343i
\(125\) −4.32464 7.49050i −0.386808 0.669971i
\(126\) 23.9063 + 9.67918i 2.12975 + 0.862290i
\(127\) 1.50832 0.548984i 0.133842 0.0487144i −0.274231 0.961664i \(-0.588423\pi\)
0.408073 + 0.912949i \(0.366201\pi\)
\(128\) 10.3118 + 4.65469i 0.911446 + 0.411420i
\(129\) 8.73328 + 1.53991i 0.768922 + 0.135582i
\(130\) −0.233451 + 1.09435i −0.0204750 + 0.0959812i
\(131\) 6.30386 + 7.51265i 0.550771 + 0.656383i 0.967566 0.252617i \(-0.0812913\pi\)
−0.416795 + 0.909000i \(0.636847\pi\)
\(132\) 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
\(136\) 11.5801 0.784166i 0.992986 0.0672417i
\(137\) −0.959987 + 5.44436i −0.0820172 + 0.465143i 0.915943 + 0.401308i \(0.131444\pi\)
−0.997960 + 0.0638350i \(0.979667\pi\)
\(138\) 9.99950 3.24093i 0.851214 0.275886i
\(139\) −3.12444 8.58433i −0.265012 0.728113i −0.998811 0.0487473i \(-0.984477\pi\)
0.733800 0.679366i \(-0.237745\pi\)
\(140\) −5.69548 1.42892i −0.481356 0.120766i
\(141\) −9.00374 + 5.19831i −0.758252 + 0.437777i
\(142\) 11.4676 + 7.17745i 0.962339 + 0.602318i
\(143\) −2.49733 2.09551i −0.208837 0.175235i
\(144\) −20.8287 11.1533i −1.73572 0.929441i
\(145\) −2.49993 1.44334i −0.207608 0.119863i
\(146\) 3.24194 1.72072i 0.268305 0.142408i
\(147\) −1.31268 7.44458i −0.108268 0.614018i
\(148\) 22.0205 2.28180i 1.81007 0.187563i
\(149\) −17.4242 6.34187i −1.42744 0.519547i −0.491245 0.871021i \(-0.663458\pi\)
−0.936197 + 0.351475i \(0.885680\pi\)
\(150\) −11.5764 + 12.8379i −0.945208 + 1.04821i
\(151\) −19.1746 −1.56040 −0.780202 0.625527i \(-0.784884\pi\)
−0.780202 + 0.625527i \(0.784884\pi\)
\(152\) 6.14376 10.6890i 0.498325 0.866990i
\(153\) −24.2386 −1.95958
\(154\) 11.4565 12.7049i 0.923188 1.02379i
\(155\) 1.00136 + 0.364466i 0.0804314 + 0.0292746i
\(156\) 4.94009 0.511901i 0.395524 0.0409849i
\(157\) −1.38284 7.84250i −0.110363 0.625899i −0.988942 0.148303i \(-0.952619\pi\)
0.878579 0.477597i \(-0.158492\pi\)
\(158\) 4.09070 2.17122i 0.325439 0.172733i
\(159\) 11.2083 + 6.47110i 0.888874 + 0.513191i
\(160\) 5.04800 + 1.85831i 0.399079 + 0.146912i
\(161\) −5.89064 4.94283i −0.464247 0.389550i
\(162\) 9.79304 + 6.12936i 0.769414 + 0.481568i
\(163\) 14.7556 8.51913i 1.15574 0.667269i 0.205464 0.978665i \(-0.434130\pi\)
0.950281 + 0.311395i \(0.100796\pi\)
\(164\) −9.91105 2.48655i −0.773923 0.194167i
\(165\) 3.80285 + 10.4482i 0.296051 + 0.813394i
\(166\) −16.6349 + 5.39151i −1.29112 + 0.418462i
\(167\) −2.11555 + 11.9979i −0.163706 + 0.928422i 0.786683 + 0.617357i \(0.211797\pi\)
−0.950389 + 0.311065i \(0.899314\pi\)
\(168\) 1.76084 + 26.0031i 0.135852 + 2.00618i
\(169\) 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 \(0.464125\pi\)
\(174\) −2.67304 + 12.5305i −0.202642 + 0.949932i
\(175\) 12.4538 + 2.19593i 0.941415 + 0.165997i
\(176\) −11.6771 + 10.4522i −0.880192 + 0.787867i
\(177\) −2.47860 + 0.902136i −0.186303 + 0.0678087i
\(178\) −0.974933 0.394730i −0.0730743 0.0295863i
\(179\) −0.183973 0.318651i −0.0137508 0.0238171i 0.859068 0.511861i \(-0.171044\pi\)
−0.872819 + 0.488044i \(0.837710\pi\)
\(180\) −10.2557 4.58415i −0.764413 0.341683i
\(181\) 12.1366 14.4639i 0.902109 1.07509i −0.0947190 0.995504i \(-0.530195\pi\)
0.996828 0.0795875i \(-0.0253603\pi\)
\(182\) −2.23475 2.86467i −0.165650 0.212344i
\(183\) 15.0051 25.9896i 1.10921 1.92121i
\(184\) 4.88224 + 5.07802i 0.359924 + 0.374356i
\(185\) 10.3659 1.82780i 0.762119 0.134382i
\(186\) 0.168532 4.72675i 0.0123574 0.346582i
\(187\) −5.49882 + 15.1079i −0.402114 + 1.10480i
\(188\) −5.77042 3.90452i −0.420851 0.284767i
\(189\) 26.7841i 1.94826i
\(190\) 2.55173 5.27728i 0.185122 0.382854i
\(191\) 14.9125i 1.07903i 0.841975 + 0.539516i \(0.181393\pi\)
−0.841975 + 0.539516i \(0.818607\pi\)
\(192\) 0.938203 23.8569i 0.0677090 1.72172i
\(193\) −2.55696 + 7.02519i −0.184054 + 0.505684i −0.997065 0.0765647i \(-0.975605\pi\)
0.813011 + 0.582249i \(0.197827\pi\)
\(194\) −13.4225 0.478580i −0.963682 0.0343600i
\(195\) 2.32550 0.410049i 0.166533 0.0293642i
\(196\) 4.10279 2.97167i 0.293056 0.212262i
\(197\) −10.7161 + 18.5607i −0.763487 + 1.32240i 0.177556 + 0.984111i \(0.443181\pi\)
−0.941043 + 0.338288i \(0.890152\pi\)
\(198\) 25.8047 20.1304i 1.83386 1.43061i
\(199\) 16.4631 19.6199i 1.16704 1.39082i 0.262224 0.965007i \(-0.415544\pi\)
0.904812 0.425812i \(-0.140012\pi\)
\(200\) −11.1287 3.21763i −0.786921 0.227521i
\(201\) 12.3234 + 21.3448i 0.869229 + 1.50555i
\(202\) −5.22517 + 12.9055i −0.367641 + 0.908027i
\(203\) 8.80758 3.20570i 0.618171 0.224996i
\(204\) −10.7049 22.0303i −0.749495 1.54243i
\(205\) −4.78451 0.843638i −0.334165 0.0589223i
\(206\) 2.71410 + 0.578979i 0.189100 + 0.0403394i
\(207\) −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 −0.721859 0.692040i \(-0.756712\pi\)
0.556177 + 0.831064i \(0.312268\pi\)
\(212\) −0.617699 + 8.65117i −0.0424237 + 0.594165i
\(213\) 4.95753 28.1155i 0.339684 1.92645i
\(214\) −1.30750 4.03414i −0.0893790 0.275768i
\(215\) 0.966406 + 2.65518i 0.0659084 + 0.181082i
\(216\) −2.61841 + 24.3961i −0.178160 + 1.65995i
\(217\) −2.99646 + 1.73001i −0.203413 + 0.117441i
\(218\) 6.94844 11.1017i 0.470608 0.751902i
\(219\) −5.93333 4.97866i −0.400938 0.336427i
\(220\) −5.18392 + 5.35237i −0.349500 + 0.360857i
\(221\) 2.95704 + 1.70725i 0.198912 + 0.114842i
\(222\) −21.9028 41.2662i −1.47002 2.76960i
\(223\) 0.648948 + 3.68036i 0.0434567 + 0.246455i 0.998796 0.0490557i \(-0.0156212\pi\)
−0.955339 + 0.295511i \(0.904510\pi\)
\(224\) −15.1578 + 8.67740i −1.01277 + 0.579783i
\(225\) 22.7336 + 8.27434i 1.51557 + 0.551623i
\(226\) −11.1151 10.0228i −0.739363 0.666707i
\(227\) 14.1806 0.941200 0.470600 0.882347i \(-0.344037\pi\)
0.470600 + 0.882347i \(0.344037\pi\)
\(228\) −25.7739 3.55223i −1.70692 0.235252i
\(229\) −7.84295 −0.518276 −0.259138 0.965840i \(-0.583439\pi\)
−0.259138 + 0.965840i \(0.583439\pi\)
\(230\) 2.48735 + 2.24293i 0.164011 + 0.147894i
\(231\) −33.9247 12.3476i −2.23208 0.812411i
\(232\) −8.33572 + 2.05886i −0.547267 + 0.135171i
\(233\) 0.355231 + 2.01461i 0.0232719 + 0.131982i 0.994230 0.107267i \(-0.0342100\pi\)
−0.970958 + 0.239249i \(0.923099\pi\)
\(234\) −3.25864 6.13947i −0.213024 0.401350i
\(235\) −2.86883 1.65632i −0.187142 0.108047i
\(236\) −1.26972 1.22976i −0.0826520 0.0800507i
\(237\) −7.48672 6.28210i −0.486315 0.408067i
\(238\) −9.50625 + 15.1884i −0.616199 + 0.984517i
\(239\) −19.1085 + 11.0323i −1.23603 + 0.713621i −0.968280 0.249867i \(-0.919613\pi\)
−0.267749 + 0.963489i \(0.586280\pi\)
\(240\) −0.362892 11.3459i −0.0234246 0.732373i
\(241\) −3.29430 9.05100i −0.212204 0.583026i 0.787230 0.616659i \(-0.211514\pi\)
−0.999434 + 0.0336331i \(0.989292\pi\)
\(242\) −1.89682 5.85239i −0.121932 0.376206i
\(243\) −0.285520 + 1.61927i −0.0183161 + 0.103876i
\(244\) 20.0603 + 1.43232i 1.28423 + 0.0916946i
\(245\) 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
\(250\) −11.9628 2.55194i −0.756592 0.161399i
\(251\) −1.62834 0.287120i −0.102780 0.0181229i 0.122022 0.992527i \(-0.461062\pi\)
−0.224802 + 0.974405i \(0.572173\pi\)
\(252\) 32.8066 15.9413i 2.06662 1.00421i
\(253\) −9.16932 + 3.33736i −0.576470 + 0.209818i
\(254\) 0.851894 2.10407i 0.0534526 0.132021i
\(255\) −5.82279 10.0854i −0.364638 0.631571i
\(256\) 14.6547 6.42193i 0.915916 0.401371i
\(257\) 13.2973 15.8471i 0.829460 0.988512i −0.170535 0.985352i \(-0.554549\pi\)
0.999995 0.00316078i \(-0.00100611\pi\)
\(258\) 9.88830 7.71392i 0.615619 0.480247i
\(259\) −17.0884 + 29.5979i −1.06182 + 1.83912i
\(260\) 0.928276 + 1.28161i 0.0575692 + 0.0794821i
\(261\) 17.6585 3.11368i 1.09304 0.192732i
\(262\) 13.8605 + 0.494194i 0.856303 + 0.0305314i
\(263\) 5.04518 13.8615i 0.311099 0.854738i −0.681336 0.731970i \(-0.738601\pi\)
0.992435 0.122767i \(-0.0391769\pi\)
\(264\) 29.6930 + 14.5632i 1.82748 + 0.896302i
\(265\) 4.12373i 0.253319i
\(266\) 7.80046 + 17.3610i 0.478277 + 1.06447i
\(267\) 2.21964i 0.135840i
\(268\) −9.25630 + 13.6797i −0.565418 + 0.835621i
\(269\) −2.61291 + 7.17890i −0.159312 + 0.437705i −0.993508 0.113762i \(-0.963710\pi\)
0.834196 + 0.551468i \(0.185932\pi\)
\(270\) −0.415684 + 11.6585i −0.0252977 + 0.709515i
\(271\) −1.47921 + 0.260825i −0.0898557 + 0.0158440i −0.218395 0.975860i \(-0.570082\pi\)
0.128540 + 0.991704i \(0.458971\pi\)
\(272\) 10.1435 12.9049i 0.615041 0.782475i
\(273\) −3.83361 + 6.64001i −0.232021 + 0.401872i
\(274\) 4.80888 + 6.16440i 0.290515 + 0.372405i
\(275\) 10.3148 12.2927i 0.622004 0.741275i
\(276\) 6.06631 13.5716i 0.365149 0.816911i
\(277\) −5.63204 9.75498i −0.338397 0.586120i 0.645735 0.763562i \(-0.276551\pi\)
−0.984131 + 0.177442i \(0.943218\pi\)
\(278\) −11.9749 4.84840i −0.718208 0.290788i
\(279\) −6.22009 + 2.26393i −0.372387 + 0.135538i
\(280\) −6.89473 + 4.62852i −0.412039 + 0.276607i
\(281\) −22.5573 3.97746i −1.34566 0.237275i −0.546026 0.837769i \(-0.683860\pi\)
−0.799630 + 0.600493i \(0.794971\pi\)
\(282\) −3.06748 + 14.3795i −0.182666 + 0.856287i
\(283\) 11.9630 + 14.2570i 0.711128 + 0.847490i 0.993737 0.111746i \(-0.0356441\pi\)
−0.282608 + 0.959235i \(0.591200\pi\)
\(284\) 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
\(288\) −31.4401 + 11.3129i −1.85263 + 0.666619i
\(289\) −0.0279168 + 0.158324i −0.00164216 + 0.00931317i
\(290\) −3.88349 + 1.25868i −0.228047 + 0.0739120i
\(291\) 9.69408 + 26.6343i 0.568277 + 1.56133i
\(292\) 1.26310 5.03455i 0.0739173 0.294625i
\(293\) 17.6564 10.1939i 1.03150 0.595536i 0.114086 0.993471i \(-0.463606\pi\)
0.917414 + 0.397934i \(0.130273\pi\)
\(294\) −9.06202 5.67182i −0.528508 0.330787i
\(295\) −0.643808 0.540219i −0.0374840 0.0314528i
\(296\) 18.4583 25.2885i 1.07287 1.46986i
\(297\) −29.4341 16.9938i −1.70794 0.986079i
\(298\) −23.1625 + 12.2939i −1.34177 + 0.712168i
\(299\) 0.359857 + 2.04085i 0.0208111 + 0.118025i
\(300\) 2.51974 + 24.3167i 0.145477 + 1.40393i
\(301\) −8.62118 3.13785i −0.496917 0.180863i
\(302\) −18.1595 + 20.1385i −1.04496 + 1.15884i
\(303\) 29.3820 1.68795
\(304\) −5.40779 16.5758i −0.310158 0.950685i
\(305\) 9.56207 0.547523
\(306\) −22.9555 + 25.4571i −1.31228 + 1.45529i
\(307\) 27.2216 + 9.90786i 1.55362 + 0.565472i 0.969263 0.246025i \(-0.0791246\pi\)
0.584357 + 0.811497i \(0.301347\pi\)
\(308\) −2.49363 24.0648i −0.142088 1.37122i
\(309\) −1.01696 5.76746i −0.0578527 0.328099i
\(310\) 1.33114 0.706530i 0.0756038 0.0401282i
\(311\) 8.00357 + 4.62086i 0.453841 + 0.262025i 0.709451 0.704755i \(-0.248943\pi\)
−0.255610 + 0.966780i \(0.582276\pi\)
\(312\) 4.14095 5.67324i 0.234435 0.321184i
\(313\) −19.3111 16.2039i −1.09153 0.915898i −0.0946990 0.995506i \(-0.530189\pi\)
−0.996826 + 0.0796075i \(0.974633\pi\)
\(314\) −9.54639 5.97499i −0.538734 0.337188i
\(315\) 15.0187 8.67106i 0.846209 0.488559i
\(316\) 1.59379 6.35263i 0.0896575 0.357363i
\(317\) 10.3833 + 28.5279i 0.583185 + 1.60229i 0.782703 + 0.622395i \(0.213840\pi\)
−0.199518 + 0.979894i \(0.563938\pi\)
\(318\) 17.4114 5.64318i 0.976380 0.316454i
\(319\) 2.06530 11.7129i 0.115635 0.655798i
\(320\) 6.73250 3.54183i 0.376358 0.197994i
\(321\) −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
\(326\) 5.02706 23.5655i 0.278423 1.30517i
\(327\) −27.2185 4.79935i −1.50519 0.265405i
\(328\) −11.9979 + 8.05437i −0.662476 + 0.444728i
\(329\) 10.1073 3.67874i 0.557231 0.202816i
\(330\) 14.5750 + 5.90113i 0.802329 + 0.324846i
\(331\) −10.1102 17.5114i −0.555707 0.962514i −0.997848 0.0655678i \(-0.979114\pi\)
0.442141 0.896946i \(-0.354219\pi\)
\(332\) −10.0917 + 22.5772i −0.553855 + 1.23909i
\(333\) −42.0272 + 50.0861i −2.30308 + 2.74470i
\(334\) 10.5974 + 13.5846i 0.579867 + 0.743318i
\(335\) −3.92658 + 6.80103i −0.214532 + 0.371580i
\(336\) 28.9779 + 22.7772i 1.58087 + 1.24260i
\(337\) −12.9142 + 2.27711i −0.703479 + 0.124042i −0.513934 0.857830i \(-0.671812\pi\)
−0.189545 + 0.981872i \(0.560701\pi\)
\(338\) 0.620203 17.3946i 0.0337346 0.946141i
\(339\) −10.8024 + 29.6794i −0.586707 + 1.61196i
\(340\) 4.37358 6.46363i 0.237191 0.350539i
\(341\) 4.39057i 0.237763i
\(342\) 8.92880 + 35.2998i 0.482814 + 1.90879i
\(343\) 13.7922i 0.744708i
\(344\) 7.54579 + 3.70090i 0.406842 + 0.199539i
\(345\) 2.41739 6.64172i 0.130148 0.357578i
\(346\) 30.9874 + 1.10485i 1.66589 + 0.0593973i
\(347\) 4.62735 0.815927i 0.248409 0.0438013i −0.0480569 0.998845i \(-0.515303\pi\)
0.296466 + 0.955043i \(0.404192\pi\)
\(348\) 10.6289 + 14.6746i 0.569766 + 0.786640i
\(349\) 10.8285 18.7555i 0.579636 1.00396i −0.415884 0.909418i \(-0.636528\pi\)
0.995521 0.0945424i \(-0.0301388\pi\)
\(350\) 14.1008 11.0001i 0.753721 0.587982i
\(351\) −4.63976 + 5.52945i −0.247652 + 0.295140i
\(352\) −0.0812553 + 22.1630i −0.00433092 + 1.18129i
\(353\) −12.4664 21.5924i −0.663519 1.14925i −0.979685 0.200544i \(-0.935729\pi\)
0.316166 0.948704i \(-0.397604\pi\)
\(354\) −1.39990 + 3.45758i −0.0744041 + 0.183768i
\(355\) 8.54797 3.11121i 0.453679 0.165126i
\(356\) −1.33790 + 0.650110i −0.0709085 + 0.0344557i
\(357\) 37.2379 + 6.56605i 1.97084 + 0.347512i
\(358\) −0.508904 0.108561i −0.0268964 0.00573763i
\(359\) −15.4763 18.4439i −0.816807 0.973433i 0.183146 0.983086i \(-0.441372\pi\)
−0.999953 + 0.00965302i \(0.996927\pi\)
\(360\) −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
\(364\) −5.12513 0.365938i −0.268630 0.0191803i
\(365\) 0.428546 2.43040i 0.0224311 0.127213i
\(366\) −13.0854 40.3733i −0.683983 2.11035i
\(367\) −3.55314 9.76216i −0.185472 0.509581i 0.811755 0.583998i \(-0.198513\pi\)
−0.997227 + 0.0744174i \(0.976290\pi\)
\(368\) 9.95709 0.318472i 0.519049 0.0166015i
\(369\) 26.1350 15.0890i 1.36053 0.785504i
\(370\) 7.89753 12.6181i 0.410573 0.655983i
\(371\) −10.2569 8.60658i −0.532513 0.446831i
\(372\) −4.80476 4.65354i −0.249115 0.241275i
\(373\) 7.05267 + 4.07186i 0.365173 + 0.210833i 0.671348 0.741143i \(-0.265716\pi\)
−0.306174 + 0.951975i \(0.599049\pi\)
\(374\) 10.6597 + 20.0834i 0.551197 + 1.03849i
\(375\) 4.48239 + 25.4209i 0.231470 + 1.31273i
\(376\) −9.56576 + 2.36267i −0.493317 + 0.121846i
\(377\) −2.37360 0.863920i −0.122247 0.0444941i
\(378\) −28.1306 25.3663i −1.44688 1.30470i
\(379\) −26.6265 −1.36771 −0.683856 0.729617i \(-0.739698\pi\)
−0.683856 + 0.729617i \(0.739698\pi\)
\(380\) −3.12593 7.67793i −0.160357 0.393870i
\(381\) −4.79035 −0.245417
\(382\) 15.6622 + 14.1231i 0.801348 + 0.722602i
\(383\) −17.2405 6.27503i −0.880948 0.320639i −0.138356 0.990383i \(-0.544182\pi\)
−0.742592 + 0.669744i \(0.766404\pi\)
\(384\) −24.1676 23.5793i −1.23330 1.20328i
\(385\) −1.99748 11.3283i −0.101801 0.577342i
\(386\) 4.95675 + 9.33880i 0.252292 + 0.475333i
\(387\) −15.2000 8.77574i −0.772661 0.446096i
\(388\) −13.2146 + 13.6441i −0.670872 + 0.692673i
\(389\) 13.8384 + 11.6118i 0.701634 + 0.588741i 0.922238 0.386622i \(-0.126358\pi\)
−0.220604 + 0.975364i \(0.570803\pi\)
\(390\) 1.77174 2.83075i 0.0897154 0.143341i
\(391\) 8.85088 5.11006i 0.447608 0.258427i
\(392\) 0.764546 7.12340i 0.0386154 0.359786i
\(393\) −10.0104 27.5033i −0.504956 1.38736i
\(394\) 9.34503 + 28.8330i 0.470796 + 1.45258i
\(395\) 0.540742 3.06670i 0.0272077 0.154302i
\(396\) 3.29634 46.1668i 0.165647 2.31997i
\(397\) 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 \(-0.479804\pi\)
\(402\) 34.0890 + 7.27196i 1.70020 + 0.362692i
\(403\) 0.918292 + 0.161920i 0.0457434 + 0.00806580i
\(404\) 8.60570 + 17.7102i 0.428149 + 0.881114i
\(405\) 7.29976 2.65689i 0.362728 0.132022i
\(406\) 4.97449 12.2863i 0.246880 0.609761i
\(407\) 21.6842 + 37.5581i 1.07485 + 1.86169i
\(408\) −33.2760 9.62102i −1.64741 0.476312i
\(409\) 4.45901 5.31404i 0.220484 0.262762i −0.644452 0.764645i \(-0.722914\pi\)
0.864936 + 0.501882i \(0.167359\pi\)
\(410\) −5.41729 + 4.22606i −0.267541 + 0.208710i
\(411\) 8.24944 14.2884i 0.406915 0.704797i
\(412\) 3.17851 2.30221i 0.156594 0.113422i
\(413\) 2.68737 0.473855i 0.132237 0.0233169i
\(414\) −20.7912 0.741310i −1.02183 0.0364334i
\(415\) −4.02149 + 11.0490i −0.197407 + 0.542372i
\(416\) 4.63242 + 0.834343i 0.227123 + 0.0409071i
\(417\) 27.2634i 1.33509i
\(418\) 24.0279 + 2.44288i 1.17524 + 0.119485i
\(419\) 25.1365i 1.22800i −0.789307 0.613999i \(-0.789560\pi\)
0.789307 0.613999i \(-0.210440\pi\)
\(420\) 14.5140 + 9.82084i 0.708213 + 0.479208i
\(421\) −8.13950 + 22.3631i −0.396695 + 1.08991i 0.567189 + 0.823588i \(0.308031\pi\)
−0.963884 + 0.266323i \(0.914191\pi\)
\(422\) −0.158315 + 4.44020i −0.00770666 + 0.216146i
\(423\) 20.2643 3.57314i 0.985284 0.173732i
\(424\) 8.50107 + 8.84196i 0.412849 + 0.429403i
\(425\) −8.40361 + 14.5555i −0.407635 + 0.706045i
\(426\) −24.8339 31.8340i −1.20320 1.54236i
\(427\) −19.9569 + 23.7837i −0.965780 + 1.15097i
\(428\) −5.47523 2.44736i −0.264655 0.118297i
\(429\) 4.86465 + 8.42581i 0.234867 + 0.406802i
\(430\) 3.70391 + 1.49964i 0.178618 + 0.0723189i
\(431\) −3.86038 + 1.40506i −0.185948 + 0.0676795i −0.433316 0.901242i \(-0.642657\pi\)
0.247368 + 0.968922i \(0.420434\pi\)
\(432\) 23.1428 + 25.8547i 1.11346 + 1.24394i
\(433\) 11.0190 + 1.94295i 0.529540 + 0.0933721i 0.432024 0.901862i \(-0.357799\pi\)
0.0975153 + 0.995234i \(0.468911\pi\)
\(434\) −1.02086 + 4.78553i −0.0490030 + 0.229713i
\(435\) 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 −0.968120 0.250488i \(-0.919409\pi\)
0.0785707 + 0.996909i \(0.474964\pi\)
\(440\) 0.711943 + 10.5136i 0.0339405 + 0.501214i
\(441\) −2.59804 + 14.7342i −0.123716 + 0.701631i
\(442\) 4.59358 1.48882i 0.218494 0.0708160i
\(443\) −5.10633 14.0295i −0.242609 0.666563i −0.999909 0.0134959i \(-0.995704\pi\)
0.757300 0.653068i \(-0.226518\pi\)
\(444\) −64.0841 16.0778i −3.04129 0.763019i
\(445\) −0.612484 + 0.353618i −0.0290345 + 0.0167631i
\(446\) 4.47998 + 2.80397i 0.212133 + 0.132772i
\(447\) 42.3915 + 35.5707i 2.00505 + 1.68244i
\(448\) −5.24175 + 24.1378i −0.247649 + 1.14040i
\(449\) 29.1082 + 16.8057i 1.37370 + 0.793108i 0.991392 0.130926i \(-0.0417950\pi\)
0.382311 + 0.924034i \(0.375128\pi\)
\(450\) 30.2204 16.0401i 1.42460 0.756136i
\(451\) −3.47594 19.7130i −0.163676 0.928250i
\(452\) −21.0533 + 2.18158i −0.990266 + 0.102613i
\(453\) 53.7738 + 19.5721i 2.52651 + 0.919576i
\(454\) 13.4299 14.8935i 0.630298 0.698986i
\(455\) −2.44298 −0.114529
\(456\) −28.1403 + 23.7054i −1.31779 + 1.11011i
\(457\) 42.0825 1.96853 0.984267 0.176687i \(-0.0565381\pi\)
0.984267 + 0.176687i \(0.0565381\pi\)
\(458\) −7.42777 + 8.23722i −0.347077 + 0.384900i
\(459\) 33.4511 + 12.1752i 1.56136 + 0.568289i
\(460\) 4.71136 0.488200i 0.219668 0.0227624i
\(461\) 1.07453 + 6.09398i 0.0500460 + 0.283825i 0.999552 0.0299234i \(-0.00952635\pi\)
−0.949506 + 0.313748i \(0.898415\pi\)
\(462\) −45.0972 + 23.9362i −2.09811 + 1.11361i
\(463\) −10.3129 5.95417i −0.479282 0.276714i 0.240835 0.970566i \(-0.422579\pi\)
−0.720117 + 0.693852i \(0.755912\pi\)
\(464\) −5.73209 + 10.7046i −0.266106 + 0.496950i
\(465\) −2.43623 2.04424i −0.112978 0.0947994i
\(466\) 2.45232 + 1.53488i 0.113601 + 0.0711019i
\(467\) 13.8551 7.99927i 0.641139 0.370162i −0.143914 0.989590i \(-0.545969\pi\)
0.785053 + 0.619428i \(0.212636\pi\)
\(468\) −9.53426 2.39201i −0.440721 0.110571i
\(469\) −8.72105 23.9609i −0.402701 1.10641i
\(470\) −4.45656 + 1.44441i −0.205566 + 0.0666257i
\(471\) −4.12698 + 23.4053i −0.190161 + 1.07846i
\(472\) −2.49409 + 0.168892i −0.114800 + 0.00777387i
\(473\) −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
\(478\) −6.51008 + 30.5175i −0.297764 + 1.39584i
\(479\) −12.1768 2.14710i −0.556372 0.0981034i −0.111610 0.993752i \(-0.535601\pi\)
−0.444762 + 0.895649i \(0.646712\pi\)
\(480\) −12.2599 10.3641i −0.559587 0.473056i
\(481\) 8.65500 3.15016i 0.394634 0.143635i
\(482\) −12.6259 5.11197i −0.575095 0.232844i
\(483\) 11.4746 + 19.8746i 0.522112 + 0.904325i
\(484\) −7.94301 3.55042i −0.361046 0.161383i
\(485\) −5.80503 + 6.91816i −0.263593 + 0.314138i
\(486\) 1.43026 + 1.83342i 0.0648781 + 0.0831658i
\(487\) 5.21271 9.02868i 0.236210 0.409128i −0.723413 0.690415i \(-0.757428\pi\)
0.959624 + 0.281287i \(0.0907612\pi\)
\(488\) 20.5027 19.7122i 0.928112 0.892330i
\(489\) −50.0767 + 8.82987i −2.26455 + 0.399301i
\(490\) 0.121375 3.40416i 0.00548317 0.153784i
\(491\) 5.18753 14.2526i 0.234110 0.643212i −0.765890 0.642972i \(-0.777701\pi\)
1.00000 0.000240450i \(-7.65377e-5\pi\)
\(492\) 25.2568 + 17.0899i 1.13866 + 0.770470i
\(493\) 12.4571i 0.561041i
\(494\) 1.39705 4.93536i 0.0628564 0.222053i
\(495\) 22.0062i 0.989105i
\(496\) 1.39768 4.25907i 0.0627577 0.191238i
\(497\) −10.1019 + 27.7547i −0.453131 + 1.24497i
\(498\) 52.1546 + 1.85957i 2.33710 + 0.0833292i
\(499\) 8.46511 1.49263i 0.378950 0.0668192i 0.0190713 0.999818i \(-0.493929\pi\)
0.359879 + 0.932999i \(0.382818\pi\)
\(500\) −14.0097 + 10.1473i −0.626535 + 0.453802i
\(501\) 18.1795 31.4878i 0.812199 1.40677i
\(502\) −1.84370 + 1.43828i −0.0822882 + 0.0641935i
\(503\) −21.2815 + 25.3623i −0.948895 + 1.13085i 0.0423882 + 0.999101i \(0.486503\pi\)
−0.991283 + 0.131748i \(0.957941\pi\)
\(504\) 14.3272 49.5533i 0.638185 2.20728i
\(505\) 4.68095 + 8.10764i 0.208299 + 0.360785i
\(506\) −5.17880 + 12.7910i −0.230226 + 0.568628i
\(507\) −34.5159 + 12.5628i −1.53291 + 0.557932i
\(508\) −1.40304 2.88741i −0.0622500 0.128108i
\(509\) −30.6280 5.40055i −1.35756 0.239375i −0.552970 0.833201i \(-0.686506\pi\)
−0.804593 + 0.593826i \(0.797617\pi\)
\(510\) −16.1069 3.43598i −0.713227 0.152148i
\(511\) 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
\(516\) 1.26315 17.6910i 0.0556069 0.778802i
\(517\) 2.37007 13.4413i 0.104235 0.591149i
\(518\) 14.9021 + 45.9785i 0.654759 + 2.02018i
\(519\) −22.3798 61.4881i −0.982365 2.69903i
\(520\) 2.22518 + 0.238825i 0.0975804 + 0.0104732i
\(521\) 23.9923 13.8520i 1.05112 0.606866i 0.128160 0.991754i \(-0.459093\pi\)
0.922964 + 0.384887i \(0.125760\pi\)
\(522\) 13.4536 21.4951i 0.588847 0.940816i
\(523\) −0.617244 0.517929i −0.0269902 0.0226474i 0.629193 0.777249i \(-0.283386\pi\)
−0.656183 + 0.754602i \(0.727830\pi\)
\(524\) 13.6458 14.0892i 0.596120 0.615491i
\(525\) −32.6842 18.8703i −1.42646 0.823566i
\(526\) −9.78024 18.4265i −0.426439 0.803436i
\(527\) −0.798538 4.52874i −0.0347849 0.197275i
\(528\) 43.4165 17.3934i 1.88946 0.756952i
\(529\) −15.7842 5.74498i −0.686269 0.249782i
\(530\) 4.33103 + 3.90544i 0.188128 + 0.169641i
\(531\) 5.22045 0.226548
\(532\) 25.6213 + 8.24941i 1.11083 + 0.357657i
\(533\) −4.25118 −0.184139
\(534\) 2.33122 + 2.10214i 0.100882 + 0.0909684i
\(535\) −2.67950 0.975258i −0.115845 0.0421641i
\(536\) 5.60110 + 22.6772i 0.241931 + 0.979505i
\(537\) 0.190684 + 1.08142i 0.00822861 + 0.0466668i
\(538\) 5.06520 + 9.54314i 0.218376 + 0.411434i
\(539\) 8.59443 + 4.96200i 0.370188 + 0.213728i
\(540\) 11.8509 + 11.4779i 0.509983 + 0.493932i
\(541\) 21.0196 + 17.6376i 0.903705 + 0.758299i 0.970911 0.239441i \(-0.0769640\pi\)
−0.0672060 + 0.997739i \(0.521408\pi\)
\(542\) −1.12697 + 1.80059i −0.0484075 + 0.0773420i
\(543\) −48.8001 + 28.1747i −2.09421 + 1.20909i
\(544\) −3.94710 22.8752i −0.169231 0.980767i
\(545\) −3.01194 8.27524i −0.129017 0.354472i
\(546\) 3.34314 + 10.3148i 0.143073 + 0.441435i
\(547\) 6.63465 37.6270i 0.283677 1.60881i −0.426295 0.904584i \(-0.640182\pi\)
0.709972 0.704229i \(-0.248707\pi\)
\(548\) 11.0286 + 0.787450i 0.471119 + 0.0336382i
\(549\) −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
\(554\) −15.5793 3.32342i −0.661900 0.141199i
\(555\) −30.9363 5.45490i −1.31317 0.231548i
\(556\) −16.4332 + 7.98517i −0.696921 + 0.338647i
\(557\) 33.4845 12.1874i 1.41878 0.516395i 0.485089 0.874465i \(-0.338787\pi\)
0.933695 + 0.358069i \(0.116565\pi\)
\(558\) −3.51309 + 8.67687i −0.148721 + 0.367321i
\(559\) 1.23624 + 2.14123i 0.0522873 + 0.0905642i
\(560\) −1.66855 + 11.6248i −0.0705090 + 0.491239i
\(561\) 30.8422 36.7562i 1.30216 1.55185i
\(562\) −25.5406 + 19.9244i −1.07737 + 0.840459i
\(563\) −2.01778 + 3.49489i −0.0850391 + 0.147292i −0.905408 0.424543i \(-0.860435\pi\)
0.820369 + 0.571835i \(0.193768\pi\)
\(564\) 12.1973 + 16.8400i 0.513598 + 0.709092i
\(565\) −9.91067 + 1.74752i −0.416945 + 0.0735186i
\(566\) 26.3035 + 0.937848i 1.10562 + 0.0394207i
\(567\) −8.62675 + 23.7018i −0.362289 + 0.995382i
\(568\) 11.9145 24.2926i 0.499922 1.01929i
\(569\) 22.5123i 0.943765i 0.881661 + 0.471883i \(0.156425\pi\)
−0.881661 + 0.471883i \(0.843575\pi\)
\(570\) −12.5428 + 12.1951i −0.525361 + 0.510798i
\(571\) 2.03284i 0.0850718i −0.999095 0.0425359i \(-0.986456\pi\)
0.999095 0.0425359i \(-0.0135437\pi\)
\(572\) −3.65390 + 5.40003i −0.152777 + 0.225787i
\(573\) 15.2217 41.8212i 0.635894 1.74710i
\(574\) 0.794909 22.2945i 0.0331789 0.930555i
\(575\) −10.0457 + 1.77133i −0.418935 + 0.0738696i
\(576\) −17.8942 + 43.7347i −0.745590 + 1.82228i
\(577\) −21.0040 + 36.3800i −0.874409 + 1.51452i −0.0170172 + 0.999855i \(0.505417\pi\)
−0.857391 + 0.514665i \(0.827916\pi\)
\(578\) 0.139844 + 0.179263i 0.00581674 + 0.00745636i
\(579\) 14.3416 17.0917i 0.596018 0.710307i
\(580\) −2.35597 + 5.27077i −0.0978261 + 0.218857i
\(581\) −19.0888 33.0628i −0.791936 1.37167i
\(582\) 37.1541 + 15.0429i 1.54009 + 0.623550i
\(583\) −15.9658 + 5.81109i −0.661237 + 0.240671i
\(584\) −4.09141 6.09464i −0.169304 0.252198i
\(585\) −4.60262 0.811565i −0.190295 0.0335541i
\(586\) 6.01536 28.1984i 0.248492 1.16486i
\(587\) 0.130312 + 0.155300i 0.00537856 + 0.00640992i 0.768727 0.639577i \(-0.220890\pi\)
−0.763348 + 0.645987i \(0.776446\pi\)
\(588\) −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
\(592\) −9.07860 43.3361i −0.373128 1.78110i
\(593\) −3.92427 + 22.2556i −0.161150 + 0.913930i 0.791795 + 0.610787i \(0.209147\pi\)
−0.952945 + 0.303143i \(0.901964\pi\)
\(594\) −45.7241 + 14.8196i −1.87608 + 0.608055i
\(595\) 4.12067 + 11.3215i 0.168931 + 0.464134i
\(596\) −9.02438 + 35.9700i −0.369653 + 1.47339i
\(597\) −66.1962 + 38.2184i −2.70923 + 1.56417i
\(598\) 2.48425 + 1.55487i 0.101589 + 0.0635833i
\(599\) 24.7817 + 20.7943i 1.01255 + 0.849632i 0.988673 0.150083i \(-0.0479539\pi\)
0.0238789 + 0.999715i \(0.492398\pi\)
\(600\) 27.9255 + 20.3831i 1.14005 + 0.832135i
\(601\) 30.9510 + 17.8696i 1.26252 + 0.728915i 0.973561 0.228427i \(-0.0733583\pi\)
0.288957 + 0.957342i \(0.406692\pi\)
\(602\) −11.4604 + 6.08283i −0.467091 + 0.247918i
\(603\) −8.47071 48.0398i −0.344954 1.95633i
\(604\) 3.95264 + 38.1449i 0.160831 + 1.55209i
\(605\) −3.88719 1.41482i −0.158037 0.0575207i
\(606\) 27.8266 30.8591i 1.13038 1.25356i
\(607\) 35.8454 1.45492 0.727460 0.686150i \(-0.240701\pi\)
0.727460 + 0.686150i \(0.240701\pi\)
\(608\) −22.5306 10.0187i −0.913735 0.406310i
\(609\) −27.9724 −1.13350
\(610\) 9.05589 10.0428i 0.366662 0.406620i
\(611\) −2.72386 0.991403i −0.110196 0.0401079i
\(612\) 4.99654 + 48.2191i 0.201973 + 1.94914i
\(613\) −2.07723 11.7805i −0.0838984 0.475812i −0.997589 0.0694008i \(-0.977891\pi\)
0.913690 0.406411i \(-0.133220\pi\)
\(614\) 36.1866 19.2067i 1.46037 0.775120i
\(615\) 12.5567 + 7.24962i 0.506335 + 0.292333i
\(616\) −27.6362 20.1719i −1.11349 0.812749i
\(617\) −12.3624 10.3733i −0.497691 0.417612i 0.359082 0.933306i \(-0.383090\pi\)
−0.856773 + 0.515694i \(0.827534\pi\)
\(618\) −7.02052 4.39407i −0.282407 0.176755i
\(619\) 21.6900 12.5227i 0.871796 0.503332i 0.00385145 0.999993i \(-0.498774\pi\)
0.867945 + 0.496661i \(0.165441\pi\)
\(620\) 0.518630 2.06719i 0.0208287 0.0830203i
\(621\) 7.38940 + 20.3022i 0.296526 + 0.814700i
\(622\) 12.4331 4.02967i 0.498520 0.161575i
\(623\) 0.398756 2.26146i 0.0159758 0.0906034i
\(624\) −2.03670 9.72204i −0.0815332 0.389193i
\(625\) 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
\(630\) 5.11672 23.9858i 0.203855 0.955616i
\(631\) 33.3599 + 5.88225i 1.32804 + 0.234169i 0.792257 0.610188i \(-0.208906\pi\)
0.535781 + 0.844357i \(0.320017\pi\)
\(632\) −5.16257 7.69025i −0.205356 0.305902i
\(633\) 8.81066 3.20682i 0.350192 0.127460i
\(634\) 39.7958 + 16.1125i 1.58049 + 0.639908i
\(635\) −0.763166 1.32184i −0.0302853 0.0524557i
\(636\) 10.5628 23.6311i 0.418842 0.937034i
\(637\) 1.35476 1.61454i 0.0536775 0.0639704i
\(638\) −10.3458 13.2620i −0.409593 0.525048i
\(639\) −28.2522 + 48.9343i −1.11764 + 1.93581i
\(640\) 2.65623 10.4253i 0.104997 0.412096i
\(641\) −7.27625 + 1.28300i −0.287395 + 0.0506755i −0.315487 0.948930i \(-0.602168\pi\)
0.0280923 + 0.999605i \(0.491057\pi\)
\(642\) −0.450966 + 12.6481i −0.0177982 + 0.499180i
\(643\) −15.7177 + 43.1840i −0.619845 + 1.70301i 0.0875217 + 0.996163i \(0.472105\pi\)
−0.707366 + 0.706847i \(0.750117\pi\)
\(644\) −8.61872 + 12.7374i −0.339625 + 0.501926i
\(645\) 8.43271i 0.332038i
\(646\) −25.2283 + 1.85034i −0.992594 + 0.0728007i
\(647\) 41.8157i 1.64394i 0.569529 + 0.821971i \(0.307126\pi\)
−0.569529 + 0.821971i \(0.692874\pi\)
\(648\) 10.1747 20.7453i 0.399700 0.814951i
\(649\) 1.18432 3.25390i 0.0464887 0.127727i
\(650\) −4.81658 0.171735i −0.188922 0.00673600i
\(651\) 10.1692 1.79311i 0.398564 0.0702776i
\(652\) −19.9892 27.5978i −0.782838 1.08081i
\(653\) 12.8848 22.3172i 0.504223 0.873339i −0.495766 0.868456i \(-0.665112\pi\)
0.999988 0.00488267i \(-0.00155421\pi\)
\(654\) −30.8183 + 24.0415i −1.20509 + 0.940097i
\(655\) 5.99443 7.14388i 0.234222 0.279135i
\(656\) −2.90354 + 20.2291i −0.113364 + 0.789814i
\(657\) 7.66483 + 13.2759i 0.299034 + 0.517941i
\(658\) 5.70854 14.0994i 0.222542 0.549651i
\(659\) −20.9947 + 7.64146i −0.817839 + 0.297669i −0.716858 0.697219i \(-0.754420\pi\)
−0.100981 + 0.994888i \(0.532198\pi\)
\(660\) 20.0013 9.71899i 0.778548 0.378311i
\(661\) 29.7635 + 5.24811i 1.15767 + 0.204128i 0.719320 0.694679i \(-0.244454\pi\)
0.438346 + 0.898807i \(0.355565\pi\)
\(662\) −27.9667 5.96595i −1.08696 0.231873i
\(663\) −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
\(668\) 24.3040 + 1.73532i 0.940350 + 0.0671416i
\(669\) 1.93673 10.9837i 0.0748782 0.424656i
\(670\) 3.42421 + 10.5650i 0.132289 + 0.408161i
\(671\) 13.4747 + 37.0215i 0.520185 + 1.42920i
\(672\) 51.3662 8.86319i 1.98149 0.341905i
\(673\) −13.8432 + 7.99236i −0.533615 + 0.308083i −0.742487 0.669860i \(-0.766354\pi\)
0.208872 + 0.977943i \(0.433021\pi\)
\(674\) −9.83894 + 15.7199i −0.378982 + 0.605509i
\(675\) −27.2177 22.8384i −1.04761 0.879050i
\(676\) −17.6817 17.1252i −0.680064 0.658660i
\(677\) −15.2731 8.81795i −0.586994 0.338901i 0.176914 0.984226i \(-0.443389\pi\)
−0.763908 + 0.645325i \(0.776722\pi\)
\(678\) 20.9408 + 39.4538i 0.804228 + 1.51521i
\(679\) −5.09190 28.8776i −0.195409 1.10822i
\(680\) −2.64651 10.7149i −0.101489 0.410898i
\(681\) −39.7685 14.4746i −1.52393 0.554667i
\(682\) 4.61129 + 4.15815i 0.176576 + 0.159224i
\(683\) 28.6039 1.09450 0.547249 0.836970i \(-0.315675\pi\)
0.547249 + 0.836970i \(0.315675\pi\)
\(684\) 45.5305 + 24.0535i 1.74090 + 0.919708i
\(685\) 5.25698 0.200859
\(686\) −14.4855 13.0621i −0.553061 0.498713i
\(687\) 21.9950 + 8.00553i 0.839162 + 0.305430i
\(688\) 11.0333 4.42014i 0.420640 0.168516i
\(689\) 0.626591 + 3.55358i 0.0238712 + 0.135380i
\(690\) −4.68619 8.82905i −0.178400 0.336116i
\(691\) −4.66323 2.69231i −0.177397 0.102420i 0.408672 0.912681i \(-0.365992\pi\)
−0.586069 + 0.810261i \(0.699325\pi\)
\(692\) 30.5074 31.4988i 1.15972 1.19741i
\(693\) 54.7358 + 45.9288i 2.07924 + 1.74469i
\(694\) 3.52545 5.63271i 0.133824 0.213815i
\(695\) −7.52302 + 4.34342i −0.285365 + 0.164755i
\(696\) 25.4785 + 2.73458i 0.965760 + 0.103654i
\(697\) 7.17064 + 19.7012i 0.271607 + 0.746235i
\(698\) −9.44310 29.1355i −0.357427 1.10280i
\(699\) 1.06016 6.01244i 0.0400988 0.227411i
\(700\) 1.80126 25.2275i 0.0680813 0.953511i
\(701\) 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
\(706\) −34.4844 7.35631i −1.29784 0.276858i
\(707\) −29.9356 5.27845i −1.12584 0.198517i
\(708\) 2.30560 + 4.74483i 0.0866498 + 0.178322i
\(709\) −28.6122 + 10.4140i −1.07455 + 0.391105i −0.817877 0.575393i \(-0.804849\pi\)
−0.256675 + 0.966498i \(0.582627\pi\)
\(710\) 4.82786 11.9242i 0.181187 0.447507i
\(711\) 9.67154 + 16.7516i 0.362711 + 0.628234i
\(712\) −0.584284 + 2.02085i −0.0218970 + 0.0757346i
\(713\) 1.79402 2.13802i 0.0671864 0.0800697i
\(714\) 42.1629 32.8915i 1.57791 1.23093i
\(715\) −1.55001 + 2.68469i −0.0579669 + 0.100402i
\(716\) −0.595983 + 0.431673i −0.0222729 + 0.0161324i
\(717\) 64.8496 11.4347i 2.42185 0.427038i
\(718\) −34.0281 1.21327i −1.26992 0.0452789i
\(719\) −2.98701 + 8.20674i −0.111397 + 0.306060i −0.982847 0.184425i \(-0.940958\pi\)
0.871450 + 0.490484i \(0.163180\pi\)
\(720\) −7.00537 + 21.3471i −0.261075 + 0.795559i
\(721\) 6.05882i 0.225642i
\(722\) −13.2594 + 23.3707i −0.493463 + 0.869767i
\(723\) 28.7455i 1.06906i
\(724\) −31.2755 21.1624i −1.16235 0.786495i
\(725\) 4.25249 11.6836i 0.157933 0.433919i
\(726\) −0.654224 + 18.3488i −0.0242805 + 0.680987i
\(727\) 21.6522 3.81787i 0.803036 0.141597i 0.242958 0.970037i \(-0.421882\pi\)
0.560078 + 0.828440i \(0.310771\pi\)
\(728\) −5.23816 + 5.03621i −0.194139 + 0.186654i
\(729\) 14.7074 25.4740i 0.544719 0.943481i
\(730\) −2.14672 2.75184i −0.0794538 0.101850i
\(731\) 7.83782 9.34075i 0.289892 0.345480i
\(732\) −54.7956 24.4929i −2.02530 0.905285i
\(733\) 10.4654 + 18.1267i 0.386549 + 0.669523i 0.991983 0.126373i \(-0.0403335\pi\)
−0.605433 + 0.795896i \(0.707000\pi\)
\(734\) −13.6180 5.51364i −0.502648 0.203512i
\(735\) −6.75485 + 2.45856i −0.249156 + 0.0906855i
\(736\) 9.09552 10.7593i 0.335265 0.396592i
\(737\) −31.8648 5.61863i −1.17376 0.206965i
\(738\) 8.90392 41.7391i 0.327758 1.53644i
\(739\) 9.03080 + 10.7625i 0.332203 + 0.395905i 0.906128 0.423003i \(-0.139024\pi\)
−0.573925 + 0.818908i \(0.694580\pi\)
\(740\) −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 −0.307291 0.951615i \(-0.599423\pi\)
0.883798 + 0.467869i \(0.154978\pi\)
\(744\) −9.43789 + 0.639102i −0.346010 + 0.0234306i
\(745\) −3.06180 + 17.3644i −0.112176 + 0.636181i
\(746\) 10.9559 3.55090i 0.401123 0.130008i
\(747\) −24.9800 68.6321i −0.913971 2.51112i
\(748\) 31.1884 + 7.82474i 1.14036 + 0.286101i
\(749\) 8.01809 4.62925i 0.292975 0.169149i
\(750\) 30.9439 + 19.3675i 1.12991 + 0.707201i
\(751\) −25.9874 21.8061i −0.948295 0.795714i 0.0307144 0.999528i \(-0.490222\pi\)
−0.979010 + 0.203814i \(0.934666\pi\)
\(752\) −6.57794 + 12.2843i −0.239873 + 0.447961i
\(753\) 4.27350 + 2.46731i 0.155735 + 0.0899136i
\(754\) −3.15530 + 1.67474i −0.114909 + 0.0609903i
\(755\) 3.16619 + 17.9564i 0.115230 + 0.653499i
\(756\) −53.2829 + 5.52127i −1.93788 + 0.200807i
\(757\) −26.8038 9.75577i −0.974199 0.354580i −0.194617 0.980879i \(-0.562346\pi\)
−0.779582 + 0.626300i \(0.784569\pi\)
\(758\) −25.2170 + 27.9651i −0.915923 + 1.01574i
\(759\) 29.1213 1.05704
\(760\) −11.0244 3.98842i −0.399896 0.144675i
\(761\) 16.4874 0.597667 0.298834 0.954305i \(-0.403402\pi\)
0.298834 + 0.954305i \(0.403402\pi\)
\(762\) −4.53676 + 5.03116i −0.164350 + 0.182260i
\(763\) 26.8691 + 9.77956i 0.972727 + 0.354044i
\(764\) 29.6662 3.07407i 1.07329 0.111216i
\(765\) 4.00239 + 22.6987i 0.144707 + 0.820673i
\(766\) −22.9183 + 12.1643i −0.828073 + 0.439516i
\(767\) −0.636879 0.367702i −0.0229964 0.0132770i
\(768\) −47.6530 + 3.05144i −1.71953 + 0.110109i
\(769\) 1.90875 + 1.60163i 0.0688314 + 0.0577564i 0.676554 0.736393i \(-0.263472\pi\)
−0.607723 + 0.794149i \(0.707917\pi\)
\(770\) −13.7895 8.63070i −0.496939 0.311029i
\(771\) −53.4668 + 30.8691i −1.92556 + 1.11172i
\(772\) 14.5026 + 3.63851i 0.521961 + 0.130953i
\(773\) −0.00136352