Properties

Label 76.2.k.a.3.7
Level $76$
Weight $2$
Character 76.3
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 3.7
Character \(\chi\) \(=\) 76.3
Dual form 76.2.k.a.51.7

$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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 −0.983218 0.182435i \(-0.941602\pi\)
−0.635921 + 0.771754i \(0.719380\pi\)
\(4\) −0.206140 + 1.98935i −0.103070 + 0.994674i
\(5\) −0.165124 + 0.936467i −0.0738459 + 0.418801i 0.925365 + 0.379078i \(0.123759\pi\)
−0.999211 + 0.0397232i \(0.987352\pi\)
\(6\) −3.72802 1.97872i −1.52196 0.807808i
\(7\) 2.67390 1.54378i 1.01064 0.583492i 0.0992597 0.995062i \(-0.468353\pi\)
0.911378 + 0.411569i \(0.135019\pi\)
\(8\) −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 0.914982 0.403494i \(-0.132205\pi\)
0.108055 + 0.994145i \(0.465538\pi\)
\(12\) −1.45248 5.78940i −0.419295 1.67126i
\(13\) −0.284588 + 0.781900i −0.0789306 + 0.216860i −0.972881 0.231306i \(-0.925700\pi\)
0.893951 + 0.448166i \(0.147922\pi\)
\(14\) 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 0.176340 0.984329i \(-0.443574\pi\)
−0.938754 + 0.344588i \(0.888019\pi\)
\(18\) 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 −0.423405 0.905941i \(-0.639165\pi\)
−0.0880203 + 0.996119i \(0.528054\pi\)
\(24\) 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 0.916160 0.400812i \(-0.131272\pi\)
−0.553813 + 0.832641i \(0.686828\pi\)
\(30\) 2.46859 3.16443i 0.450701 0.577744i
\(31\) −0.560318 0.970499i −0.100636 0.174307i 0.811311 0.584615i \(-0.198754\pi\)
−0.911947 + 0.410308i \(0.865421\pi\)
\(32\) −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 \(-0.636172\pi\)
0.414866 0.909882i \(-0.363828\pi\)
\(38\) 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 0.998121 + 0.0612717i \(0.0195156\pi\)
−0.725220 + 0.688517i \(0.758262\pi\)
\(42\) −13.0230 + 0.464335i −2.00950 + 0.0716485i
\(43\) −2.92630 0.515985i −0.446256 0.0786870i −0.0539956 0.998541i \(-0.517196\pi\)
−0.392260 + 0.919854i \(0.628307\pi\)
\(44\) −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 0.904221 0.427066i \(-0.140453\pi\)
−0.577594 + 0.816324i \(0.696008\pi\)
\(48\) 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 −0.459081 0.888394i \(-0.651821\pi\)
−0.127546 + 0.991833i \(0.540710\pi\)
\(54\) −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 0.685795 0.727795i \(-0.259455\pi\)
−0.597651 + 0.801756i \(0.703899\pi\)
\(60\) 5.66143 0.404230i 0.730887 0.0521858i
\(61\) −1.74615 9.90290i −0.223571 1.26794i −0.865398 0.501086i \(-0.832934\pi\)
0.641826 0.766850i \(-0.278177\pi\)
\(62\) 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 −0.941448 0.337158i \(-0.890534\pi\)
0.168555 + 0.985692i \(0.446090\pi\)
\(68\) 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 −0.712195 0.701981i \(-0.752299\pi\)
0.909337 0.416061i \(-0.136590\pi\)
\(72\) −4.00606 + 16.2193i −0.472119 + 1.91147i
\(73\) 2.43877 0.887641i 0.285437 0.103891i −0.195334 0.980737i \(-0.562579\pi\)
0.480771 + 0.876846i \(0.340357\pi\)
\(74\) 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 −0.163057 0.986617i \(-0.552135\pi\)
0.509276 + 0.860603i \(0.329913\pi\)
\(80\) 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 −0.954946 0.296779i \(-0.904087\pi\)
−0.220455 + 0.975397i \(0.570754\pi\)
\(84\) −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 −0.952444 0.304713i \(-0.901439\pi\)
0.925480 + 0.378795i \(0.123662\pi\)
\(90\) −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 −0.981042 0.193794i \(-0.937921\pi\)
0.361206 + 0.932486i \(0.382365\pi\)
\(98\) 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 −0.162093 0.986776i \(-0.551824\pi\)
−0.758457 + 0.651723i \(0.774047\pi\)
\(102\) 6.49977 + 16.0536i 0.643573 + 1.58954i
\(103\) 0.981169 1.69943i 0.0966774 0.167450i −0.813630 0.581383i \(-0.802512\pi\)
0.910307 + 0.413933i \(0.135845\pi\)
\(104\) −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 0.929353 0.369193i \(-0.120366\pi\)
−0.784407 + 0.620246i \(0.787033\pi\)
\(108\) −14.0512 10.1773i −1.35208 0.979314i
\(109\) 9.12021 + 1.60814i 0.873558 + 0.154032i 0.592414 0.805634i \(-0.298175\pi\)
0.281144 + 0.959666i \(0.409286\pi\)
\(110\) −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 \(0.165853\pi\)
−0.867301 + 0.497784i \(0.834147\pi\)
\(114\) −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 0.408073 0.912949i \(-0.366201\pi\)
−0.274231 + 0.961664i \(0.588423\pi\)
\(128\) 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 −0.416795 0.909000i \(-0.636847\pi\)
0.967566 + 0.252617i \(0.0812913\pi\)
\(132\) 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 −0.997960 0.0638350i \(-0.979667\pi\)
0.915943 0.401308i \(-0.131444\pi\)
\(138\) 9.99950 + 3.24093i 0.851214 + 0.275886i
\(139\) −3.12444 + 8.58433i −0.265012 + 0.728113i 0.733800 + 0.679366i \(0.237745\pi\)
−0.998811 + 0.0487473i \(0.984477\pi\)
\(140\) −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 −0.936197 0.351475i \(-0.885680\pi\)
−0.491245 + 0.871021i \(0.663458\pi\)
\(150\) −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 0.878579 + 0.477597i \(0.158492\pi\)
−0.988942 + 0.148303i \(0.952619\pi\)
\(158\) 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 0.950281 0.311395i \(-0.100796\pi\)
0.205464 + 0.978665i \(0.434130\pi\)
\(164\) −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 −0.950389 0.311065i \(-0.899314\pi\)
0.786683 0.617357i \(-0.211797\pi\)
\(168\) 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 0.112465 0.993656i \(-0.464125\pi\)
0.959030 0.283303i \(-0.0914303\pi\)
\(174\) −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 −0.872819 0.488044i \(-0.837710\pi\)
0.859068 + 0.511861i \(0.171044\pi\)
\(180\) −10.2557 + 4.58415i −0.764413 + 0.341683i
\(181\) 12.1366 + 14.4639i 0.902109 + 1.07509i 0.996828 + 0.0795875i \(0.0253603\pi\)
−0.0947190 + 0.995504i \(0.530195\pi\)
\(182\) −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 \(-0.818607\pi\)
0.841975 0.539516i \(-0.181393\pi\)
\(192\) 0.938203 + 23.8569i 0.0677090 + 1.72172i
\(193\) −2.55696 7.02519i −0.184054 0.505684i 0.813011 0.582249i \(-0.197827\pi\)
−0.997065 + 0.0765647i \(0.975605\pi\)
\(194\) −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 −0.941043 0.338288i \(-0.890152\pi\)
0.177556 0.984111i \(-0.443181\pi\)
\(198\) 25.8047 + 20.1304i 1.83386 + 1.43061i
\(199\) 16.4631 + 19.6199i 1.16704 + 1.39082i 0.904812 + 0.425812i \(0.140012\pi\)
0.262224 + 0.965007i \(0.415544\pi\)
\(200\) −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 0.556177 0.831064i \(-0.312268\pi\)
−0.721859 + 0.692040i \(0.756712\pi\)
\(212\) −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 −0.955339 0.295511i \(-0.904510\pi\)
0.998796 + 0.0490557i \(0.0156212\pi\)
\(224\) −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 −0.970958 0.239249i \(-0.923099\pi\)
0.994230 + 0.107267i \(0.0342100\pi\)
\(234\) −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 −0.267749 0.963489i \(-0.586280\pi\)
−0.968280 + 0.249867i \(0.919613\pi\)
\(240\) −0.362892 + 11.3459i −0.0234246 + 0.732373i
\(241\) −3.29430 + 9.05100i −0.212204 + 0.583026i −0.999434 0.0336331i \(-0.989292\pi\)
0.787230 + 0.616659i \(0.211514\pi\)
\(242\) −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 −0.224802 0.974405i \(-0.572173\pi\)
0.122022 + 0.992527i \(0.461062\pi\)
\(252\) 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 0.999995 + 0.00316078i \(0.00100611\pi\)
−0.170535 + 0.985352i \(0.554549\pi\)
\(258\) 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 0.992435 + 0.122767i \(0.0391769\pi\)
−0.681336 + 0.731970i \(0.738601\pi\)
\(264\) 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 0.834196 0.551468i \(-0.185932\pi\)
−0.993508 + 0.113762i \(0.963710\pi\)
\(270\) −0.415684 11.6585i −0.0252977 0.709515i
\(271\) −1.47921 0.260825i −0.0898557 0.0158440i 0.128540 0.991704i \(-0.458971\pi\)
−0.218395 + 0.975860i \(0.570082\pi\)
\(272\) 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 −0.984131 0.177442i \(-0.943218\pi\)
0.645735 + 0.763562i \(0.276551\pi\)
\(278\) −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 −0.799630 0.600493i \(-0.794971\pi\)
−0.546026 + 0.837769i \(0.683860\pi\)
\(282\) −3.06748 14.3795i −0.182666 0.856287i
\(283\) 11.9630 14.2570i 0.711128 0.847490i −0.282608 0.959235i \(-0.591200\pi\)
0.993737 + 0.111746i \(0.0356441\pi\)
\(284\) 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 0.917414 0.397934i \(-0.130273\pi\)
0.114086 + 0.993471i \(0.463606\pi\)
\(294\) −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 0.584357 0.811497i \(-0.301347\pi\)
0.969263 + 0.246025i \(0.0791246\pi\)
\(308\) −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 −0.255610 0.966780i \(-0.582276\pi\)
0.709451 + 0.704755i \(0.248943\pi\)
\(312\) 4.14095 + 5.67324i 0.234435 + 0.321184i
\(313\) −19.3111 + 16.2039i −1.09153 + 0.915898i −0.996826 0.0796075i \(-0.974633\pi\)
−0.0946990 + 0.995506i \(0.530189\pi\)
\(314\) −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 −0.199518 0.979894i \(-0.563938\pi\)
0.782703 0.622395i \(-0.213840\pi\)
\(318\) 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 0.442141 + 0.896946i \(0.354219\pi\)
−0.997848 + 0.0655678i \(0.979114\pi\)
\(332\) −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 −0.189545 0.981872i \(-0.560701\pi\)
−0.513934 + 0.857830i \(0.671812\pi\)
\(338\) 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 0.296466 0.955043i \(-0.404192\pi\)
−0.0480569 + 0.998845i \(0.515303\pi\)
\(348\) 10.6289 14.6746i 0.569766 0.786640i
\(349\) 10.8285 + 18.7555i 0.579636 + 1.00396i 0.995521 + 0.0945424i \(0.0301388\pi\)
−0.415884 + 0.909418i \(0.636528\pi\)
\(350\) 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 0.316166 + 0.948704i \(0.397604\pi\)
−0.979685 + 0.200544i \(0.935729\pi\)
\(354\) −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 −0.999953 0.00965302i \(-0.996927\pi\)
0.183146 + 0.983086i \(0.441372\pi\)
\(360\) −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 −0.997227 0.0744174i \(-0.976290\pi\)
0.811755 + 0.583998i \(0.198513\pi\)
\(368\) 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 −0.306174 0.951975i \(-0.599049\pi\)
0.671348 + 0.741143i \(0.265716\pi\)
\(374\) 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 −0.742592 0.669744i \(-0.766404\pi\)
−0.138356 + 0.990383i \(0.544182\pi\)
\(384\) −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 −0.220604 0.975364i \(-0.570803\pi\)
0.922238 + 0.386622i \(0.126358\pi\)
\(390\) 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 0.652246 0.758007i \(-0.273827\pi\)
−0.633230 + 0.773964i \(0.718271\pi\)
\(398\) −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 0.0634064 + 0.997988i \(0.479804\pi\)
−0.993837 + 0.110856i \(0.964641\pi\)
\(402\) 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 0.864936 0.501882i \(-0.167359\pi\)
−0.644452 + 0.764645i \(0.722914\pi\)
\(410\) −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 \(0.210440\pi\)
−0.789307 + 0.613999i \(0.789560\pi\)
\(420\) 14.5140 9.82084i 0.708213 0.479208i
\(421\) −8.13950 22.3631i −0.396695 1.08991i −0.963884 0.266323i \(-0.914191\pi\)
0.567189 0.823588i \(-0.308031\pi\)
\(422\) −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 0.247368 0.968922i \(-0.420434\pi\)
−0.433316 + 0.901242i \(0.642657\pi\)
\(432\) 23.1428 25.8547i 1.11346 1.24394i
\(433\) 11.0190 1.94295i 0.529540 0.0933721i 0.0975153 0.995234i \(-0.468911\pi\)
0.432024 + 0.901862i \(0.357799\pi\)
\(434\) −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 0.0785707 0.996909i \(-0.474964\pi\)
−0.968120 + 0.250488i \(0.919409\pi\)
\(440\) 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 0.757300 + 0.653068i \(0.226518\pi\)
−0.999909 + 0.0134959i \(0.995704\pi\)
\(444\) −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 0.382311 0.924034i \(-0.375128\pi\)
0.991392 + 0.130926i \(0.0417950\pi\)
\(450\) 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 −0.949506 0.313748i \(-0.898415\pi\)
0.999552 + 0.0299234i \(0.00952635\pi\)
\(462\) −45.0972 23.9362i −2.09811 1.11361i
\(463\) −10.3129 + 5.95417i −0.479282 + 0.276714i −0.720117 0.693852i \(-0.755912\pi\)
0.240835 + 0.970566i \(0.422579\pi\)
\(464\) −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 0.785053 0.619428i \(-0.212636\pi\)
−0.143914 + 0.989590i \(0.545969\pi\)
\(468\) −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 −0.444762 0.895649i \(-0.646712\pi\)
−0.111610 + 0.993752i \(0.535601\pi\)
\(480\) −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 0.959624 0.281287i \(-0.0907612\pi\)
−0.723413 + 0.690415i \(0.757428\pi\)
\(488\) 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 1.00000 0.000240450i \(7.65377e-5\pi\)
−0.765890 + 0.642972i \(0.777701\pi\)
\(492\) 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 0.359879 0.932999i \(-0.382818\pi\)
0.0190713 + 0.999818i \(0.493929\pi\)
\(500\) −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 −0.991283 0.131748i \(-0.957941\pi\)
0.0423882 0.999101i \(-0.486503\pi\)
\(504\) 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 −0.804593 0.593826i \(-0.797617\pi\)
−0.552970 + 0.833201i \(0.686506\pi\)
\(510\) −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 0.922964 0.384887i \(-0.125760\pi\)
0.128160 + 0.991754i \(0.459093\pi\)
\(522\) 13.4536 + 21.4951i 0.588847 + 0.940816i
\(523\) −0.617244 + 0.517929i −0.0269902 + 0.0226474i −0.656183 0.754602i \(-0.727830\pi\)
0.629193 + 0.777249i \(0.283386\pi\)
\(524\) 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 −0.0672060 0.997739i \(-0.521408\pi\)
0.970911 + 0.239441i \(0.0769640\pi\)
\(542\) −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 0.709972 + 0.704229i \(0.248707\pi\)
−0.426295 + 0.904584i \(0.640182\pi\)
\(548\) 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 0.933695 0.358069i \(-0.116565\pi\)
0.485089 + 0.874465i \(0.338787\pi\)
\(558\) −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 0.820369 0.571835i \(-0.193768\pi\)
−0.905408 + 0.424543i \(0.860435\pi\)
\(564\) 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 \(-0.843575\pi\)
0.881661 0.471883i \(-0.156425\pi\)
\(570\) −12.5428 12.1951i −0.525361 0.510798i
\(571\) 2.03284i 0.0850718i 0.999095 + 0.0425359i \(0.0135437\pi\)
−0.999095 + 0.0425359i \(0.986456\pi\)
\(572\) −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 −0.857391 0.514665i \(-0.827916\pi\)
−0.0170172 0.999855i \(-0.505417\pi\)
\(578\) 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 −0.763348 0.645987i \(-0.776446\pi\)
0.768727 + 0.639577i \(0.220890\pi\)
\(588\) −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 −0.952945 0.303143i \(-0.901964\pi\)
0.791795 0.610787i \(-0.209147\pi\)
\(594\) −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 0.0238789 0.999715i \(-0.492398\pi\)
0.988673 + 0.150083i \(0.0479539\pi\)
\(600\) 27.9255 20.3831i 1.14005 0.832135i
\(601\) 30.9510 17.8696i 1.26252 0.728915i 0.288957 0.957342i \(-0.406692\pi\)
0.973561 + 0.228427i \(0.0733583\pi\)
\(602\) −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 0.913690 + 0.406411i \(0.133220\pi\)
−0.997589 + 0.0694008i \(0.977891\pi\)
\(614\) 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 −0.856773 0.515694i \(-0.827534\pi\)
0.359082 + 0.933306i \(0.383090\pi\)
\(618\) −7.02052 + 4.39407i −0.282407 + 0.176755i
\(619\) 21.6900 + 12.5227i 0.871796 + 0.503332i 0.867945 0.496661i \(-0.165441\pi\)
0.00385145 + 0.999993i \(0.498774\pi\)
\(620\) 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 0.535781 0.844357i \(-0.320017\pi\)
0.792257 + 0.610188i \(0.208906\pi\)
\(632\) −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 0.0280923 0.999605i \(-0.491057\pi\)
−0.315487 + 0.948930i \(0.602168\pi\)
\(642\) −0.450966 12.6481i −0.0177982 0.499180i
\(643\) −15.7177 43.1840i −0.619845 1.70301i −0.707366 0.706847i \(-0.750117\pi\)
0.0875217 0.996163i \(-0.472105\pi\)
\(644\) −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 \(-0.692874\pi\)
0.569529 0.821971i \(-0.307126\pi\)
\(648\) 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 0.999988 + 0.00488267i \(0.00155421\pi\)
−0.495766 + 0.868456i \(0.665112\pi\)
\(654\) −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 −0.100981 0.994888i \(-0.532198\pi\)
−0.716858 + 0.697219i \(0.754420\pi\)
\(660\) 20.0013 + 9.71899i 0.778548 + 0.378311i
\(661\) 29.7635 5.24811i 1.15767 0.204128i 0.438346 0.898807i \(-0.355565\pi\)
0.719320 + 0.694679i \(0.244454\pi\)
\(662\) −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 0.208872 0.977943i \(-0.433021\pi\)
−0.742487 + 0.669860i \(0.766354\pi\)
\(674\) −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 −0.763908 0.645325i \(-0.776722\pi\)
0.176914 + 0.984226i \(0.443389\pi\)
\(678\) 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 −0.586069 0.810261i \(-0.699325\pi\)
0.408672 + 0.912681i \(0.365992\pi\)
\(692\) 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 0.721396 0.692523i \(-0.243501\pi\)
−0.556732 + 0.830692i \(0.687945\pi\)
\(702\) 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 −0.256675 0.966498i \(-0.582627\pi\)
−0.817877 + 0.575393i \(0.804849\pi\)
\(710\) 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 0.871450 0.490484i \(-0.163180\pi\)
−0.982847 + 0.184425i \(0.940958\pi\)
\(720\) −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 0.560078 0.828440i \(-0.310771\pi\)
0.242958 + 0.970037i \(0.421882\pi\)
\(728\) −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 −0.605433 0.795896i \(-0.707000\pi\)
0.991983 + 0.126373i \(0.0403335\pi\)
\(734\) −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 −0.573925 0.818908i \(-0.694580\pi\)
0.906128 + 0.423003i \(0.139024\pi\)
\(740\) −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 \(-0.154978\pi\)
−0.307291 + 0.951615i \(0.599423\pi\)
\(744\) −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 −0.979010 0.203814i \(-0.934666\pi\)
0.0307144 + 0.999528i \(0.490222\pi\)
\(752\) −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 −0.779582 0.626300i \(-0.784569\pi\)
−0.194617 + 0.980879i \(0.562346\pi\)
\(758\) −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 −0.607723 0.794149i \(-0.707917\pi\)
0.676554 + 0.736393i \(0.263472\pi\)
\(770\) −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 + 0.00374623i