Properties

Label 76.2.k.a.51.6
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 51.6
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.719007 - 1.21780i) q^{2} +(1.09089 + 0.397053i) q^{3} +(-0.966058 - 1.75121i) q^{4} +(0.615920 + 3.49306i) q^{5} +(1.26789 - 1.04300i) q^{6} +(-3.53555 - 2.04125i) q^{7} +(-2.82722 - 0.0826699i) q^{8} +(-1.26573 - 1.06208i) q^{9} +O(q^{10})\) \(q+(0.719007 - 1.21780i) q^{2} +(1.09089 + 0.397053i) q^{3} +(-0.966058 - 1.75121i) q^{4} +(0.615920 + 3.49306i) q^{5} +(1.26789 - 1.04300i) q^{6} +(-3.53555 - 2.04125i) q^{7} +(-2.82722 - 0.0826699i) q^{8} +(-1.26573 - 1.06208i) q^{9} +(4.69669 + 1.76147i) q^{10} +(0.260098 - 0.150167i) q^{11} +(-0.358544 - 2.29396i) q^{12} +(0.546397 + 1.50121i) q^{13} +(-5.02792 + 2.83791i) q^{14} +(-0.715025 + 4.05511i) q^{15} +(-2.13347 + 3.38354i) q^{16} +(3.58623 - 3.00920i) q^{17} +(-2.20347 + 0.777766i) q^{18} +(3.34958 + 2.78932i) q^{19} +(5.52206 - 4.45310i) q^{20} +(-3.04643 - 3.63059i) q^{21} +(0.00413863 - 0.424718i) q^{22} +(3.07108 + 0.541514i) q^{23} +(-3.05137 - 1.21274i) q^{24} +(-7.12363 + 2.59279i) q^{25} +(2.22104 + 0.413983i) q^{26} +(-2.70044 - 4.67730i) q^{27} +(-0.159112 + 8.16346i) q^{28} +(0.344669 - 0.410760i) q^{29} +(4.42419 + 3.78641i) q^{30} +(-2.08054 + 3.60361i) q^{31} +(2.58648 + 5.03091i) q^{32} +(0.343363 - 0.0605442i) q^{33} +(-1.08607 - 6.53093i) q^{34} +(4.95259 - 13.6071i) q^{35} +(-0.637147 + 3.24259i) q^{36} -2.42729i q^{37} +(5.80520 - 2.07357i) q^{38} +1.85461i q^{39} +(-1.45257 - 9.92656i) q^{40} +(2.70395 - 7.42905i) q^{41} +(-6.61173 + 1.09951i) q^{42} +(-2.23149 + 0.393472i) q^{43} +(-0.514244 - 0.310415i) q^{44} +(2.93031 - 5.07544i) q^{45} +(2.86758 - 3.35060i) q^{46} +(-2.11323 + 2.51844i) q^{47} +(-3.67083 + 2.84398i) q^{48} +(4.83342 + 8.37173i) q^{49} +(-1.96445 + 10.5394i) q^{50} +(5.10701 - 1.85880i) q^{51} +(2.10109 - 2.40712i) q^{52} +(-5.12508 - 0.903690i) q^{53} +(-7.63763 - 0.0744244i) q^{54} +(0.684743 + 0.816045i) q^{55} +(9.82703 + 6.06335i) q^{56} +(2.54653 + 4.37281i) q^{57} +(-0.252403 - 0.715076i) q^{58} +(-4.17166 + 3.50044i) q^{59} +(7.79210 - 2.66531i) q^{60} +(-0.594383 + 3.37091i) q^{61} +(2.89253 + 5.12470i) q^{62} +(2.30710 + 6.33871i) q^{63} +(7.98633 + 0.467452i) q^{64} +(-4.90729 + 2.83323i) q^{65} +(0.173150 - 0.461679i) q^{66} +(-5.29646 - 4.44426i) q^{67} +(-8.73424 - 3.37317i) q^{68} +(3.13521 + 1.81012i) q^{69} +(-13.0098 - 15.8149i) q^{70} +(0.743257 + 4.21522i) q^{71} +(3.49071 + 3.10736i) q^{72} +(-8.50411 - 3.09524i) q^{73} +(-2.95595 - 1.74524i) q^{74} -8.80060 q^{75} +(1.64879 - 8.56046i) q^{76} -1.22612 q^{77} +(2.25854 + 1.33348i) q^{78} +(-0.187126 - 0.0681083i) q^{79} +(-13.1329 - 5.36833i) q^{80} +(-0.228002 - 1.29306i) q^{81} +(-7.10291 - 8.63440i) q^{82} +(12.9034 + 7.44977i) q^{83} +(-3.41490 + 8.84229i) q^{84} +(12.7201 + 10.6735i) q^{85} +(-1.12529 + 3.00041i) q^{86} +(0.539091 - 0.311244i) q^{87} +(-0.747767 + 0.403054i) q^{88} +(2.26220 + 6.21534i) q^{89} +(-4.07394 - 7.21779i) q^{90} +(1.13254 - 6.42296i) q^{91} +(-2.01854 - 5.90124i) q^{92} +(-3.70047 + 3.10507i) q^{93} +(1.54753 + 4.38426i) q^{94} +(-7.68017 + 13.4183i) q^{95} +(0.824040 + 6.51517i) q^{96} +(3.90012 + 4.64798i) q^{97} +(13.6703 + 0.133210i) q^{98} +(-0.488704 - 0.0861717i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.719007 1.21780i 0.508415 0.861112i
\(3\) 1.09089 + 0.397053i 0.629828 + 0.229239i 0.637156 0.770734i \(-0.280111\pi\)
−0.00732842 + 0.999973i \(0.502333\pi\)
\(4\) −0.966058 1.75121i −0.483029 0.875604i
\(5\) 0.615920 + 3.49306i 0.275448 + 1.56214i 0.737535 + 0.675309i \(0.235990\pi\)
−0.462087 + 0.886834i \(0.652899\pi\)
\(6\) 1.26789 1.04300i 0.517614 0.425804i
\(7\) −3.53555 2.04125i −1.33631 0.771521i −0.350055 0.936729i \(-0.613837\pi\)
−0.986259 + 0.165208i \(0.947170\pi\)
\(8\) −2.82722 0.0826699i −0.999573 0.0292282i
\(9\) −1.26573 1.06208i −0.421911 0.354026i
\(10\) 4.69669 + 1.76147i 1.48522 + 0.557025i
\(11\) 0.260098 0.150167i 0.0784224 0.0452772i −0.460276 0.887776i \(-0.652250\pi\)
0.538698 + 0.842499i \(0.318916\pi\)
\(12\) −0.358544 2.29396i −0.103503 0.662209i
\(13\) 0.546397 + 1.50121i 0.151543 + 0.416362i 0.992114 0.125340i \(-0.0400023\pi\)
−0.840570 + 0.541702i \(0.817780\pi\)
\(14\) −5.02792 + 2.83791i −1.34377 + 0.758463i
\(15\) −0.715025 + 4.05511i −0.184619 + 1.04702i
\(16\) −2.13347 + 3.38354i −0.533366 + 0.845884i
\(17\) 3.58623 3.00920i 0.869788 0.729839i −0.0942656 0.995547i \(-0.530050\pi\)
0.964053 + 0.265708i \(0.0856058\pi\)
\(18\) −2.20347 + 0.777766i −0.519362 + 0.183321i
\(19\) 3.34958 + 2.78932i 0.768447 + 0.639914i
\(20\) 5.52206 4.45310i 1.23477 0.995743i
\(21\) −3.04643 3.63059i −0.664785 0.792260i
\(22\) 0.00413863 0.424718i 0.000882360 0.0905501i
\(23\) 3.07108 + 0.541514i 0.640365 + 0.112914i 0.484397 0.874849i \(-0.339039\pi\)
0.155968 + 0.987762i \(0.450150\pi\)
\(24\) −3.05137 1.21274i −0.622859 0.247549i
\(25\) −7.12363 + 2.59279i −1.42473 + 0.518558i
\(26\) 2.22104 + 0.413983i 0.435581 + 0.0811887i
\(27\) −2.70044 4.67730i −0.519700 0.900146i
\(28\) −0.159112 + 8.16346i −0.0300693 + 1.54275i
\(29\) 0.344669 0.410760i 0.0640034 0.0762762i −0.733093 0.680129i \(-0.761924\pi\)
0.797096 + 0.603852i \(0.206368\pi\)
\(30\) 4.42419 + 3.78641i 0.807743 + 0.691300i
\(31\) −2.08054 + 3.60361i −0.373676 + 0.647227i −0.990128 0.140166i \(-0.955236\pi\)
0.616452 + 0.787393i \(0.288570\pi\)
\(32\) 2.58648 + 5.03091i 0.457230 + 0.889348i
\(33\) 0.343363 0.0605442i 0.0597719 0.0105394i
\(34\) −1.08607 6.53093i −0.186260 1.12005i
\(35\) 4.95259 13.6071i 0.837141 2.30003i
\(36\) −0.637147 + 3.24259i −0.106191 + 0.540432i
\(37\) 2.42729i 0.399044i −0.979893 0.199522i \(-0.936061\pi\)
0.979893 0.199522i \(-0.0639389\pi\)
\(38\) 5.80520 2.07357i 0.941727 0.336378i
\(39\) 1.85461i 0.296976i
\(40\) −1.45257 9.92656i −0.229672 1.56953i
\(41\) 2.70395 7.42905i 0.422286 1.16022i −0.528109 0.849177i \(-0.677099\pi\)
0.950395 0.311045i \(-0.100679\pi\)
\(42\) −6.61173 + 1.09951i −1.02021 + 0.169658i
\(43\) −2.23149 + 0.393472i −0.340299 + 0.0600039i −0.341186 0.939996i \(-0.610829\pi\)
0.000887115 1.00000i \(0.499718\pi\)
\(44\) −0.514244 0.310415i −0.0775252 0.0467968i
\(45\) 2.93031 5.07544i 0.436824 0.756602i
\(46\) 2.86758 3.35060i 0.422802 0.494019i
\(47\) −2.11323 + 2.51844i −0.308246 + 0.367353i −0.897821 0.440360i \(-0.854851\pi\)
0.589575 + 0.807713i \(0.299295\pi\)
\(48\) −3.67083 + 2.84398i −0.529838 + 0.410493i
\(49\) 4.83342 + 8.37173i 0.690489 + 1.19596i
\(50\) −1.96445 + 10.5394i −0.277815 + 1.49049i
\(51\) 5.10701 1.85880i 0.715124 0.260284i
\(52\) 2.10109 2.40712i 0.291369 0.333807i
\(53\) −5.12508 0.903690i −0.703984 0.124131i −0.189814 0.981820i \(-0.560789\pi\)
−0.514169 + 0.857689i \(0.671900\pi\)
\(54\) −7.63763 0.0744244i −1.03935 0.0101279i
\(55\) 0.684743 + 0.816045i 0.0923307 + 0.110035i
\(56\) 9.82703 + 6.06335i 1.31319 + 0.810249i
\(57\) 2.54653 + 4.37281i 0.337296 + 0.579193i
\(58\) −0.252403 0.715076i −0.0331422 0.0938941i
\(59\) −4.17166 + 3.50044i −0.543104 + 0.455719i −0.872598 0.488439i \(-0.837566\pi\)
0.329494 + 0.944158i \(0.393122\pi\)
\(60\) 7.79210 2.66531i 1.00596 0.344090i
\(61\) −0.594383 + 3.37091i −0.0761029 + 0.431601i 0.922821 + 0.385228i \(0.125877\pi\)
−0.998924 + 0.0463728i \(0.985234\pi\)
\(62\) 2.89253 + 5.12470i 0.367352 + 0.650837i
\(63\) 2.30710 + 6.33871i 0.290668 + 0.798603i
\(64\) 7.98633 + 0.467452i 0.998291 + 0.0584315i
\(65\) −4.90729 + 2.83323i −0.608675 + 0.351418i
\(66\) 0.173150 0.461679i 0.0213133 0.0568287i
\(67\) −5.29646 4.44426i −0.647066 0.542953i 0.259113 0.965847i \(-0.416570\pi\)
−0.906179 + 0.422894i \(0.861014\pi\)
\(68\) −8.73424 3.37317i −1.05918 0.409057i
\(69\) 3.13521 + 1.81012i 0.377435 + 0.217912i
\(70\) −13.0098 15.8149i −1.55497 1.89024i
\(71\) 0.743257 + 4.21522i 0.0882084 + 0.500254i 0.996618 + 0.0821733i \(0.0261861\pi\)
−0.908410 + 0.418081i \(0.862703\pi\)
\(72\) 3.49071 + 3.10736i 0.411384 + 0.366206i
\(73\) −8.50411 3.09524i −0.995331 0.362271i −0.207549 0.978225i \(-0.566549\pi\)
−0.787782 + 0.615954i \(0.788771\pi\)
\(74\) −2.95595 1.74524i −0.343622 0.202880i
\(75\) −8.80060 −1.01621
\(76\) 1.64879 8.56046i 0.189129 0.981952i
\(77\) −1.22612 −0.139729
\(78\) 2.25854 + 1.33348i 0.255730 + 0.150987i
\(79\) −0.187126 0.0681083i −0.0210533 0.00766278i 0.331472 0.943465i \(-0.392455\pi\)
−0.352525 + 0.935802i \(0.614677\pi\)
\(80\) −13.1329 5.36833i −1.46831 0.600197i
\(81\) −0.228002 1.29306i −0.0253336 0.143674i
\(82\) −7.10291 8.63440i −0.784385 0.953510i
\(83\) 12.9034 + 7.44977i 1.41633 + 0.817719i 0.995974 0.0896401i \(-0.0285717\pi\)
0.420356 + 0.907359i \(0.361905\pi\)
\(84\) −3.41490 + 8.84229i −0.372596 + 0.964773i
\(85\) 12.7201 + 10.6735i 1.37969 + 1.15770i
\(86\) −1.12529 + 3.00041i −0.121343 + 0.323543i
\(87\) 0.539091 0.311244i 0.0577966 0.0333689i
\(88\) −0.747767 + 0.403054i −0.0797123 + 0.0429657i
\(89\) 2.26220 + 6.21534i 0.239793 + 0.658825i 0.999959 + 0.00909600i \(0.00289539\pi\)
−0.760166 + 0.649729i \(0.774882\pi\)
\(90\) −4.07394 7.21779i −0.429431 0.760822i
\(91\) 1.13254 6.42296i 0.118723 0.673309i
\(92\) −2.01854 5.90124i −0.210447 0.615247i
\(93\) −3.70047 + 3.10507i −0.383721 + 0.321980i
\(94\) 1.54753 + 4.38426i 0.159615 + 0.452202i
\(95\) −7.68017 + 13.4183i −0.787969 + 1.37669i
\(96\) 0.824040 + 6.51517i 0.0841033 + 0.664951i
\(97\) 3.90012 + 4.64798i 0.395997 + 0.471931i 0.926795 0.375567i \(-0.122552\pi\)
−0.530798 + 0.847498i \(0.678108\pi\)
\(98\) 13.6703 + 0.133210i 1.38091 + 0.0134562i
\(99\) −0.488704 0.0861717i −0.0491166 0.00866058i
\(100\) 11.4224 + 9.97018i 1.14224 + 0.997018i
\(101\) 5.15199 1.87517i 0.512642 0.186586i −0.0727293 0.997352i \(-0.523171\pi\)
0.585371 + 0.810765i \(0.300949\pi\)
\(102\) 1.40834 7.55579i 0.139446 0.748134i
\(103\) −9.18625 15.9110i −0.905148 1.56776i −0.820719 0.571333i \(-0.806427\pi\)
−0.0844294 0.996429i \(-0.526907\pi\)
\(104\) −1.42068 4.28943i −0.139309 0.420613i
\(105\) 10.8055 12.8775i 1.05451 1.25672i
\(106\) −4.78548 + 5.59155i −0.464807 + 0.543099i
\(107\) 8.31778 14.4068i 0.804110 1.39276i −0.112780 0.993620i \(-0.535975\pi\)
0.916890 0.399140i \(-0.130691\pi\)
\(108\) −5.58215 + 9.24757i −0.537142 + 0.889848i
\(109\) −8.39330 + 1.47996i −0.803932 + 0.141755i −0.560491 0.828161i \(-0.689387\pi\)
−0.243441 + 0.969916i \(0.578276\pi\)
\(110\) 1.48611 0.247136i 0.141695 0.0235635i
\(111\) 0.963763 2.64792i 0.0914763 0.251329i
\(112\) 14.4496 7.60773i 1.36536 0.718863i
\(113\) 10.6541i 1.00226i −0.865373 0.501129i \(-0.832918\pi\)
0.865373 0.501129i \(-0.167082\pi\)
\(114\) 7.15617 + 0.0429244i 0.670237 + 0.00402024i
\(115\) 11.0610i 1.03144i
\(116\) −1.05230 0.206769i −0.0977033 0.0191980i
\(117\) 0.902812 2.48046i 0.0834650 0.229318i
\(118\) 1.26337 + 7.59708i 0.116303 + 0.699368i
\(119\) −18.8218 + 3.31880i −1.72539 + 0.304234i
\(120\) 2.35677 11.4056i 0.215143 1.04118i
\(121\) −5.45490 + 9.44816i −0.495900 + 0.858924i
\(122\) 3.67772 + 3.14755i 0.332965 + 0.284966i
\(123\) 5.89945 7.03069i 0.531935 0.633936i
\(124\) 8.32059 + 0.162174i 0.747211 + 0.0145637i
\(125\) −4.57699 7.92759i −0.409379 0.709065i
\(126\) 9.37809 + 1.74800i 0.835466 + 0.155724i
\(127\) 17.1851 6.25486i 1.52493 0.555029i 0.562556 0.826759i \(-0.309818\pi\)
0.962373 + 0.271730i \(0.0875959\pi\)
\(128\) 6.31149 9.38963i 0.557862 0.829934i
\(129\) −2.59055 0.456784i −0.228085 0.0402176i
\(130\) −0.0780841 + 8.01319i −0.00684843 + 0.702804i
\(131\) 1.78093 + 2.12243i 0.155601 + 0.185438i 0.838213 0.545343i \(-0.183601\pi\)
−0.682612 + 0.730781i \(0.739156\pi\)
\(132\) −0.437735 0.542812i −0.0380999 0.0472457i
\(133\) −6.14892 16.6991i −0.533179 1.44800i
\(134\) −9.22040 + 3.25456i −0.796521 + 0.281151i
\(135\) 14.6748 12.3136i 1.26301 1.05979i
\(136\) −10.3878 + 8.21120i −0.890748 + 0.704104i
\(137\) −1.84783 + 10.4796i −0.157871 + 0.895330i 0.798243 + 0.602335i \(0.205763\pi\)
−0.956114 + 0.292995i \(0.905348\pi\)
\(138\) 4.45860 2.51657i 0.379541 0.214224i
\(139\) 6.24308 + 17.1527i 0.529531 + 1.45487i 0.859624 + 0.510927i \(0.170698\pi\)
−0.330093 + 0.943948i \(0.607080\pi\)
\(140\) −28.6134 + 4.47225i −2.41828 + 0.377974i
\(141\) −3.30526 + 1.90829i −0.278353 + 0.160707i
\(142\) 5.66769 + 2.12564i 0.475622 + 0.178379i
\(143\) 0.367550 + 0.308411i 0.0307361 + 0.0257906i
\(144\) 6.29398 2.01675i 0.524498 0.168063i
\(145\) 1.64710 + 0.950952i 0.136784 + 0.0789723i
\(146\) −9.88389 + 8.13078i −0.817997 + 0.672908i
\(147\) 1.94873 + 11.0518i 0.160729 + 0.911537i
\(148\) −4.25069 + 2.34490i −0.349405 + 0.192750i
\(149\) 14.1321 + 5.14368i 1.15775 + 0.421387i 0.848293 0.529527i \(-0.177630\pi\)
0.309457 + 0.950913i \(0.399853\pi\)
\(150\) −6.32770 + 10.7173i −0.516654 + 0.875068i
\(151\) −15.0749 −1.22678 −0.613389 0.789781i \(-0.710194\pi\)
−0.613389 + 0.789781i \(0.710194\pi\)
\(152\) −9.23941 8.16292i −0.749415 0.662100i
\(153\) −7.73522 −0.625355
\(154\) −0.881588 + 1.49316i −0.0710404 + 0.120323i
\(155\) −13.8691 5.04792i −1.11399 0.405459i
\(156\) 3.24782 1.79166i 0.260034 0.143448i
\(157\) −2.81624 15.9717i −0.224761 1.27468i −0.863142 0.504961i \(-0.831507\pi\)
0.638381 0.769720i \(-0.279604\pi\)
\(158\) −0.217487 + 0.178911i −0.0173023 + 0.0142334i
\(159\) −5.23211 3.02076i −0.414933 0.239562i
\(160\) −15.9802 + 12.1334i −1.26335 + 0.959228i
\(161\) −9.75260 8.18340i −0.768613 0.644942i
\(162\) −1.73862 0.652062i −0.136599 0.0512308i
\(163\) −5.45589 + 3.14996i −0.427338 + 0.246724i −0.698212 0.715891i \(-0.746021\pi\)
0.270874 + 0.962615i \(0.412687\pi\)
\(164\) −15.6220 + 2.44170i −1.21987 + 0.190665i
\(165\) 0.422969 + 1.16210i 0.0329281 + 0.0904692i
\(166\) 18.3499 10.3573i 1.42423 0.803879i
\(167\) −0.932562 + 5.28882i −0.0721638 + 0.409261i 0.927231 + 0.374489i \(0.122182\pi\)
−0.999395 + 0.0347725i \(0.988929\pi\)
\(168\) 8.31278 + 10.5163i 0.641345 + 0.811352i
\(169\) 8.00348 6.71572i 0.615653 0.516594i
\(170\) 22.1440 7.81625i 1.69837 0.599479i
\(171\) −1.27721 7.08805i −0.0976707 0.542037i
\(172\) 2.84480 + 3.52769i 0.216914 + 0.268984i
\(173\) −9.95804 11.8675i −0.757096 0.902271i 0.240565 0.970633i \(-0.422667\pi\)
−0.997661 + 0.0683617i \(0.978223\pi\)
\(174\) 0.00857793 0.880289i 0.000650291 0.0667346i
\(175\) 30.4785 + 5.37418i 2.30396 + 0.406250i
\(176\) −0.0468122 + 1.20043i −0.00352860 + 0.0904856i
\(177\) −5.94070 + 2.16224i −0.446531 + 0.162524i
\(178\) 9.19556 + 1.71398i 0.689236 + 0.128468i
\(179\) 4.09294 + 7.08919i 0.305921 + 0.529871i 0.977466 0.211093i \(-0.0677023\pi\)
−0.671545 + 0.740964i \(0.734369\pi\)
\(180\) −11.7190 0.228412i −0.873482 0.0170248i
\(181\) −11.2531 + 13.4109i −0.836434 + 0.996823i 0.163514 + 0.986541i \(0.447717\pi\)
−0.999947 + 0.0102816i \(0.996727\pi\)
\(182\) −7.00755 5.99736i −0.519434 0.444554i
\(183\) −1.98684 + 3.44131i −0.146871 + 0.254389i
\(184\) −8.63785 1.78487i −0.636791 0.131582i
\(185\) 8.47866 1.49502i 0.623364 0.109916i
\(186\) 1.12067 + 6.73899i 0.0821717 + 0.494127i
\(187\) 0.480885 1.32122i 0.0351658 0.0966173i
\(188\) 6.45182 + 1.26774i 0.470547 + 0.0924593i
\(189\) 22.0491i 1.60384i
\(190\) 10.8186 + 19.0007i 0.784867 + 1.37846i
\(191\) 5.42765i 0.392731i −0.980531 0.196366i \(-0.937086\pi\)
0.980531 0.196366i \(-0.0629139\pi\)
\(192\) 8.52664 + 3.68094i 0.615357 + 0.265649i
\(193\) −3.00336 + 8.25165i −0.216186 + 0.593967i −0.999622 0.0275063i \(-0.991243\pi\)
0.783435 + 0.621473i \(0.213466\pi\)
\(194\) 8.46451 1.40762i 0.607716 0.101061i
\(195\) −6.47828 + 1.14230i −0.463919 + 0.0818014i
\(196\) 9.99129 16.5519i 0.713663 1.18228i
\(197\) 1.49191 2.58406i 0.106294 0.184107i −0.807972 0.589221i \(-0.799435\pi\)
0.914266 + 0.405114i \(0.132768\pi\)
\(198\) −0.456321 + 0.533184i −0.0324293 + 0.0378917i
\(199\) −0.554813 + 0.661200i −0.0393297 + 0.0468713i −0.785351 0.619051i \(-0.787517\pi\)
0.746021 + 0.665922i \(0.231962\pi\)
\(200\) 20.3544 6.74147i 1.43927 0.476694i
\(201\) −4.01327 6.95119i −0.283075 0.490299i
\(202\) 1.42074 7.62234i 0.0999629 0.536306i
\(203\) −2.05706 + 0.748708i −0.144377 + 0.0525490i
\(204\) −8.18881 7.14773i −0.573331 0.500441i
\(205\) 27.6155 + 4.86936i 1.92875 + 0.340091i
\(206\) −25.9814 0.253174i −1.81021 0.0176395i
\(207\) −3.31204 3.94714i −0.230203 0.274345i
\(208\) −6.24514 1.35403i −0.433022 0.0938853i
\(209\) 1.29008 + 0.222497i 0.0892369 + 0.0153904i
\(210\) −7.91295 22.4179i −0.546045 1.54698i
\(211\) −6.79371 + 5.70060i −0.467698 + 0.392446i −0.845954 0.533256i \(-0.820968\pi\)
0.378256 + 0.925701i \(0.376524\pi\)
\(212\) 3.36857 + 9.84810i 0.231355 + 0.676371i
\(213\) −0.862851 + 4.89347i −0.0591216 + 0.335295i
\(214\) −11.5640 20.4880i −0.790501 1.40053i
\(215\) −2.74884 7.55238i −0.187469 0.515068i
\(216\) 7.24806 + 13.4470i 0.493168 + 0.914952i
\(217\) 14.7117 8.49382i 0.998698 0.576598i
\(218\) −4.23254 + 11.2854i −0.286664 + 0.764346i
\(219\) −8.04811 6.75317i −0.543841 0.456337i
\(220\) 0.767564 1.98747i 0.0517492 0.133996i
\(221\) 6.47696 + 3.73948i 0.435688 + 0.251544i
\(222\) −2.53167 3.07754i −0.169915 0.206551i
\(223\) −2.08177 11.8063i −0.139406 0.790610i −0.971690 0.236260i \(-0.924078\pi\)
0.832284 0.554350i \(-0.187033\pi\)
\(224\) 1.12472 23.0667i 0.0751483 1.54121i
\(225\) 11.7704 + 4.28406i 0.784691 + 0.285604i
\(226\) −12.9746 7.66040i −0.863056 0.509562i
\(227\) −3.59398 −0.238541 −0.119270 0.992862i \(-0.538056\pi\)
−0.119270 + 0.992862i \(0.538056\pi\)
\(228\) 5.19761 8.68390i 0.344220 0.575105i
\(229\) 8.48334 0.560595 0.280297 0.959913i \(-0.409567\pi\)
0.280297 + 0.959913i \(0.409567\pi\)
\(230\) 13.4700 + 7.95293i 0.888188 + 0.524401i
\(231\) −1.33757 0.486834i −0.0880054 0.0320313i
\(232\) −1.00841 + 1.13282i −0.0662054 + 0.0743730i
\(233\) 3.62386 + 20.5519i 0.237407 + 1.34640i 0.837485 + 0.546461i \(0.184025\pi\)
−0.600078 + 0.799942i \(0.704864\pi\)
\(234\) −2.37156 2.88291i −0.155034 0.188461i
\(235\) −10.0987 5.83046i −0.658763 0.380337i
\(236\) 10.1601 + 3.92383i 0.661364 + 0.255419i
\(237\) −0.177092 0.148598i −0.0115034 0.00965247i
\(238\) −9.49141 + 25.3074i −0.615237 + 1.64044i
\(239\) 22.9107 13.2275i 1.48197 0.855617i 0.482182 0.876071i \(-0.339844\pi\)
0.999791 + 0.0204539i \(0.00651115\pi\)
\(240\) −12.1951 11.0708i −0.787192 0.714614i
\(241\) −5.36811 14.7488i −0.345790 0.950051i −0.983681 0.179924i \(-0.942415\pi\)
0.637890 0.770127i \(-0.279807\pi\)
\(242\) 7.58383 + 13.4363i 0.487507 + 0.863715i
\(243\) −2.54887 + 14.4554i −0.163510 + 0.927312i
\(244\) 6.47738 2.21561i 0.414672 0.141840i
\(245\) −26.2659 + 22.0397i −1.67807 + 1.40807i
\(246\) −4.32021 12.2394i −0.275446 0.780359i
\(247\) −2.35716 + 6.55252i −0.149983 + 0.416927i
\(248\) 6.18006 10.0162i 0.392434 0.636028i
\(249\) 11.1183 + 13.2502i 0.704592 + 0.839700i
\(250\) −12.9451 0.126143i −0.818719 0.00797796i
\(251\) −1.99182 0.351211i −0.125722 0.0221682i 0.110433 0.993884i \(-0.464776\pi\)
−0.236155 + 0.971715i \(0.575887\pi\)
\(252\) 8.87162 10.1638i 0.558859 0.640258i
\(253\) 0.880099 0.320330i 0.0553313 0.0201390i
\(254\) 4.73905 25.4252i 0.297354 1.59532i
\(255\) 9.63840 + 16.6942i 0.603580 + 1.04543i
\(256\) −6.89665 14.4373i −0.431041 0.902333i
\(257\) −2.96164 + 3.52955i −0.184742 + 0.220167i −0.850465 0.526032i \(-0.823679\pi\)
0.665722 + 0.746200i \(0.268124\pi\)
\(258\) −2.41889 + 2.82633i −0.150594 + 0.175960i
\(259\) −4.95471 + 8.58181i −0.307871 + 0.533248i
\(260\) 9.70230 + 5.85663i 0.601711 + 0.363213i
\(261\) −0.872518 + 0.153848i −0.0540075 + 0.00952298i
\(262\) 3.86519 0.642769i 0.238792 0.0397104i
\(263\) 3.03627 8.34207i 0.187224 0.514394i −0.810198 0.586157i \(-0.800640\pi\)
0.997422 + 0.0717627i \(0.0228624\pi\)
\(264\) −0.975769 + 0.142786i −0.0600544 + 0.00878787i
\(265\) 18.4588i 1.13392i
\(266\) −24.7573 4.51865i −1.51796 0.277056i
\(267\) 7.67849i 0.469916i
\(268\) −2.66614 + 13.5686i −0.162860 + 0.828836i
\(269\) −2.44696 + 6.72295i −0.149193 + 0.409906i −0.991666 0.128833i \(-0.958877\pi\)
0.842473 + 0.538739i \(0.181099\pi\)
\(270\) −4.44420 26.7245i −0.270466 1.62640i
\(271\) 31.4126 5.53889i 1.90818 0.336464i 0.911059 0.412277i \(-0.135266\pi\)
0.997122 + 0.0758130i \(0.0241552\pi\)
\(272\) 2.53066 + 18.5542i 0.153444 + 1.12501i
\(273\) 3.78574 6.55709i 0.229123 0.396853i
\(274\) 11.4334 + 9.78517i 0.690716 + 0.591144i
\(275\) −1.46349 + 1.74412i −0.0882516 + 0.105174i
\(276\) 0.141095 7.23909i 0.00849293 0.435742i
\(277\) −5.16272 8.94209i −0.310198 0.537278i 0.668207 0.743975i \(-0.267062\pi\)
−0.978405 + 0.206697i \(0.933729\pi\)
\(278\) 25.3773 + 4.73013i 1.52203 + 0.283694i
\(279\) 6.46072 2.35151i 0.386793 0.140781i
\(280\) −15.1270 + 38.0609i −0.904009 + 2.27458i
\(281\) −24.7357 4.36157i −1.47561 0.260190i −0.622787 0.782391i \(-0.714000\pi\)
−0.852822 + 0.522202i \(0.825111\pi\)
\(282\) −0.0525928 + 5.39721i −0.00313186 + 0.321399i
\(283\) −9.40772 11.2117i −0.559231 0.666465i 0.410153 0.912017i \(-0.365475\pi\)
−0.969384 + 0.245552i \(0.921031\pi\)
\(284\) 6.66370 5.37374i 0.395418 0.318873i
\(285\) −13.7060 + 11.5885i −0.811875 + 0.686443i
\(286\) 0.639854 0.225852i 0.0378353 0.0133549i
\(287\) −24.7245 + 20.7463i −1.45944 + 1.22462i
\(288\) 2.06942 9.11485i 0.121942 0.537098i
\(289\) 0.853710 4.84163i 0.0502183 0.284802i
\(290\) 2.34234 1.32209i 0.137547 0.0776357i
\(291\) 2.40912 + 6.61901i 0.141225 + 0.388013i
\(292\) 2.79504 + 17.8827i 0.163568 + 1.04650i
\(293\) 25.4984 14.7215i 1.48963 0.860039i 0.489701 0.871890i \(-0.337106\pi\)
0.999930 + 0.0118513i \(0.00377249\pi\)
\(294\) 14.8600 + 5.57316i 0.866652 + 0.325034i
\(295\) −14.7967 12.4159i −0.861494 0.722880i
\(296\) −0.200664 + 6.86248i −0.0116633 + 0.398874i
\(297\) −1.40476 0.811036i −0.0815122 0.0470611i
\(298\) 16.4251 13.5117i 0.951479 0.782714i
\(299\) 0.865101 + 4.90623i 0.0500301 + 0.283735i
\(300\) 8.50189 + 15.4117i 0.490857 + 0.889795i
\(301\) 8.69273 + 3.16390i 0.501041 + 0.182364i
\(302\) −10.8390 + 18.3582i −0.623712 + 1.05639i
\(303\) 6.36482 0.365649
\(304\) −16.5840 + 5.38252i −0.951157 + 0.308709i
\(305\) −12.1409 −0.695185
\(306\) −5.56168 + 9.41992i −0.317940 + 0.538501i
\(307\) 14.8744 + 5.41384i 0.848926 + 0.308984i 0.729602 0.683872i \(-0.239705\pi\)
0.119324 + 0.992855i \(0.461927\pi\)
\(308\) 1.18450 + 2.14719i 0.0674932 + 0.122348i
\(309\) −3.70369 21.0047i −0.210696 1.19492i
\(310\) −16.1193 + 13.2602i −0.915514 + 0.753128i
\(311\) −11.3865 6.57399i −0.645669 0.372777i 0.141126 0.989992i \(-0.454928\pi\)
−0.786795 + 0.617215i \(0.788261\pi\)
\(312\) 0.153321 5.24340i 0.00868008 0.296849i
\(313\) −15.0193 12.6027i −0.848944 0.712348i 0.110613 0.993864i \(-0.464719\pi\)
−0.959557 + 0.281515i \(0.909163\pi\)
\(314\) −21.4752 8.05416i −1.21192 0.454523i
\(315\) −20.7205 + 11.9630i −1.16747 + 0.674038i
\(316\) 0.0615026 + 0.393493i 0.00345979 + 0.0221357i
\(317\) 2.06718 + 5.67953i 0.116104 + 0.318994i 0.984110 0.177560i \(-0.0568205\pi\)
−0.868005 + 0.496555i \(0.834598\pi\)
\(318\) −7.44059 + 4.19970i −0.417248 + 0.235507i
\(319\) 0.0279647 0.158596i 0.00156572 0.00887966i
\(320\) 3.28611 + 28.1846i 0.183699 + 1.57557i
\(321\) 14.7941 12.4137i 0.825726 0.692866i
\(322\) −16.9779 + 5.99276i −0.946142 + 0.333963i
\(323\) 20.4060 0.0764404i 1.13542 0.00425326i
\(324\) −2.04416 + 1.64845i −0.113565 + 0.0915808i
\(325\) −7.78467 9.27741i −0.431816 0.514618i
\(326\) −0.0868132 + 8.90900i −0.00480814 + 0.493424i
\(327\) −9.74382 1.71810i −0.538835 0.0950111i
\(328\) −8.25882 + 20.7800i −0.456017 + 1.14738i
\(329\) 12.6122 4.59047i 0.695333 0.253081i
\(330\) 1.71932 + 0.320466i 0.0946453 + 0.0176411i
\(331\) 1.83555 + 3.17926i 0.100891 + 0.174748i 0.912052 0.410075i \(-0.134497\pi\)
−0.811161 + 0.584823i \(0.801164\pi\)
\(332\) 0.580696 29.7934i 0.0318698 1.63513i
\(333\) −2.57797 + 3.07230i −0.141272 + 0.168361i
\(334\) 5.77019 + 4.93837i 0.315731 + 0.270216i
\(335\) 12.2619 21.2382i 0.669937 1.16036i
\(336\) 18.7837 2.56196i 1.02473 0.139766i
\(337\) −17.7177 + 3.12412i −0.965147 + 0.170181i −0.633945 0.773378i \(-0.718565\pi\)
−0.331202 + 0.943560i \(0.607454\pi\)
\(338\) −2.42382 14.5753i −0.131838 0.792790i
\(339\) 4.23026 11.6225i 0.229756 0.631250i
\(340\) 6.40308 32.5868i 0.347256 1.76727i
\(341\) 1.24972i 0.0676761i
\(342\) −9.55013 3.54098i −0.516412 0.191474i
\(343\) 10.8874i 0.587864i
\(344\) 6.34144 0.927955i 0.341908 0.0500320i
\(345\) −4.39180 + 12.0664i −0.236447 + 0.649632i
\(346\) −21.6121 + 3.59403i −1.16188 + 0.193216i
\(347\) 16.0384 2.82801i 0.860988 0.151815i 0.274316 0.961640i \(-0.411549\pi\)
0.586672 + 0.809824i \(0.300438\pi\)
\(348\) −1.06585 0.643381i −0.0571353 0.0344888i
\(349\) 5.92019 10.2541i 0.316901 0.548888i −0.662939 0.748673i \(-0.730691\pi\)
0.979840 + 0.199785i \(0.0640245\pi\)
\(350\) 28.4589 33.2526i 1.52119 1.77742i
\(351\) 5.54611 6.60960i 0.296030 0.352794i
\(352\) 1.42822 + 0.920123i 0.0761243 + 0.0490427i
\(353\) 12.9044 + 22.3511i 0.686833 + 1.18963i 0.972857 + 0.231408i \(0.0743331\pi\)
−0.286023 + 0.958223i \(0.592334\pi\)
\(354\) −1.63824 + 8.78923i −0.0870715 + 0.467142i
\(355\) −14.2662 + 5.19248i −0.757172 + 0.275588i
\(356\) 8.69895 9.96596i 0.461043 0.528195i
\(357\) −21.8504 3.85281i −1.15644 0.203912i
\(358\) 11.5760 + 0.112802i 0.611813 + 0.00596177i
\(359\) 2.73656 + 3.26130i 0.144430 + 0.172125i 0.833410 0.552656i \(-0.186386\pi\)
−0.688980 + 0.724781i \(0.741941\pi\)
\(360\) −8.70420 + 14.1071i −0.458752 + 0.743511i
\(361\) 3.43941 + 18.6861i 0.181021 + 0.983479i
\(362\) 8.24069 + 23.3465i 0.433121 + 1.22706i
\(363\) −9.70214 + 8.14106i −0.509230 + 0.427295i
\(364\) −12.3420 + 4.22163i −0.646899 + 0.221274i
\(365\) 5.57401 31.6118i 0.291757 1.65464i
\(366\) 2.76226 + 4.89389i 0.144386 + 0.255808i
\(367\) −0.887138 2.43739i −0.0463082 0.127231i 0.914383 0.404851i \(-0.132677\pi\)
−0.960691 + 0.277620i \(0.910454\pi\)
\(368\) −8.38428 + 9.23581i −0.437061 + 0.481450i
\(369\) −11.3127 + 6.53139i −0.588916 + 0.340011i
\(370\) 4.27559 11.4002i 0.222277 0.592669i
\(371\) 16.2753 + 13.6566i 0.844973 + 0.709017i
\(372\) 9.01249 + 3.48063i 0.467276 + 0.180462i
\(373\) −32.6213 18.8339i −1.68907 0.975183i −0.955233 0.295854i \(-0.904396\pi\)
−0.733833 0.679330i \(-0.762271\pi\)
\(374\) −1.26322 1.53559i −0.0653195 0.0794033i
\(375\) −1.84534 10.4655i −0.0952932 0.540434i
\(376\) 6.18275 6.94549i 0.318851 0.358187i
\(377\) 0.804965 + 0.292983i 0.0414578 + 0.0150894i
\(378\) 26.8513 + 15.8535i 1.38108 + 0.815414i
\(379\) 17.6837 0.908353 0.454177 0.890912i \(-0.349934\pi\)
0.454177 + 0.890912i \(0.349934\pi\)
\(380\) 30.9177 + 0.486756i 1.58604 + 0.0249701i
\(381\) 21.2306 1.08768
\(382\) −6.60978 3.90252i −0.338186 0.199670i
\(383\) −18.5485 6.75110i −0.947785 0.344965i −0.178549 0.983931i \(-0.557140\pi\)
−0.769235 + 0.638966i \(0.779363\pi\)
\(384\) 10.6133 7.73709i 0.541610 0.394832i
\(385\) −0.755191 4.28290i −0.0384881 0.218277i
\(386\) 7.88940 + 9.59048i 0.401560 + 0.488142i
\(387\) 3.24237 + 1.87199i 0.164819 + 0.0951584i
\(388\) 4.37185 11.3201i 0.221947 0.574693i
\(389\) 15.7275 + 13.1970i 0.797418 + 0.669113i 0.947569 0.319550i \(-0.103532\pi\)
−0.150152 + 0.988663i \(0.547976\pi\)
\(390\) −3.26684 + 8.71054i −0.165423 + 0.441075i
\(391\) 12.6431 7.29951i 0.639390 0.369152i
\(392\) −12.9730 24.0683i −0.655238 1.21563i
\(393\) 1.10009 + 3.02247i 0.0554922 + 0.152463i
\(394\) −2.07417 3.67480i −0.104495 0.185134i
\(395\) 0.122651 0.695591i 0.00617127 0.0349990i
\(396\) 0.321212 + 0.939070i 0.0161415 + 0.0471900i
\(397\) 4.01047 3.36518i 0.201280 0.168894i −0.536577 0.843852i \(-0.680283\pi\)
0.737856 + 0.674958i \(0.235838\pi\)
\(398\) 0.406293 + 1.15106i 0.0203656 + 0.0576973i
\(399\) −0.0773861 20.6584i −0.00387415 1.03421i
\(400\) 6.42522 29.6347i 0.321261 1.48174i
\(401\) 16.5098 + 19.6756i 0.824458 + 0.982550i 0.999998 0.00192191i \(-0.000611762\pi\)
−0.175541 + 0.984472i \(0.556167\pi\)
\(402\) −11.3507 0.110606i −0.566122 0.00551654i
\(403\) −6.54659 1.15434i −0.326109 0.0575018i
\(404\) −8.26093 7.21069i −0.410997 0.358745i
\(405\) 4.37632 1.59285i 0.217461 0.0791493i
\(406\) −0.567266 + 3.04341i −0.0281529 + 0.151042i
\(407\) −0.364500 0.631333i −0.0180676 0.0312940i
\(408\) −14.5923 + 4.83303i −0.722426 + 0.239271i
\(409\) 15.6062 18.5987i 0.771676 0.919648i −0.226850 0.973930i \(-0.572843\pi\)
0.998526 + 0.0542822i \(0.0172871\pi\)
\(410\) 25.7856 30.1290i 1.27346 1.48796i
\(411\) −6.17673 + 10.6984i −0.304676 + 0.527714i
\(412\) −18.9891 + 31.4580i −0.935527 + 1.54983i
\(413\) 21.8944 3.86058i 1.07735 0.189967i
\(414\) −7.18819 + 1.19537i −0.353280 + 0.0587494i
\(415\) −18.0750 + 49.6607i −0.887268 + 2.43775i
\(416\) −6.13923 + 6.63175i −0.301001 + 0.325148i
\(417\) 21.1906i 1.03771i
\(418\) 1.19854 1.41108i 0.0586223 0.0690183i
\(419\) 3.51321i 0.171632i −0.996311 0.0858159i \(-0.972650\pi\)
0.996311 0.0858159i \(-0.0273497\pi\)
\(420\) −32.9899 6.48229i −1.60974 0.316304i
\(421\) −0.483024 + 1.32710i −0.0235412 + 0.0646788i −0.950907 0.309478i \(-0.899846\pi\)
0.927365 + 0.374157i \(0.122068\pi\)
\(422\) 2.05745 + 12.3721i 0.100155 + 0.602266i
\(423\) 5.34957 0.943273i 0.260105 0.0458635i
\(424\) 14.4150 + 2.97862i 0.700055 + 0.144655i
\(425\) −17.7447 + 30.7348i −0.860746 + 1.49086i
\(426\) 5.33886 + 4.56922i 0.258668 + 0.221379i
\(427\) 8.98236 10.7048i 0.434687 0.518039i
\(428\) −33.2648 0.648355i −1.60792 0.0313394i
\(429\) 0.278503 + 0.482381i 0.0134462 + 0.0232896i
\(430\) −11.1737 2.08269i −0.538844 0.100436i
\(431\) −29.6032 + 10.7747i −1.42594 + 0.518998i −0.935764 0.352628i \(-0.885288\pi\)
−0.490172 + 0.871626i \(0.663066\pi\)
\(432\) 21.5871 + 0.841817i 1.03861 + 0.0405019i
\(433\) 32.3517 + 5.70447i 1.55472 + 0.274139i 0.883970 0.467543i \(-0.154861\pi\)
0.670751 + 0.741683i \(0.265972\pi\)
\(434\) 0.234091 24.0230i 0.0112367 1.15314i
\(435\) 1.41923 + 1.69137i 0.0680469 + 0.0810951i
\(436\) 10.7001 + 13.2687i 0.512444 + 0.635455i
\(437\) 8.77638 + 10.3801i 0.419831 + 0.496546i
\(438\) −14.0106 + 4.94539i −0.669454 + 0.236300i
\(439\) 1.21027 1.01554i 0.0577630 0.0484689i −0.613449 0.789734i \(-0.710218\pi\)
0.671212 + 0.741265i \(0.265774\pi\)
\(440\) −1.86846 2.36375i −0.0890751 0.112687i
\(441\) 2.77360 15.7299i 0.132076 0.749041i
\(442\) 9.21090 5.19891i 0.438118 0.247287i
\(443\) 0.331536 + 0.910886i 0.0157517 + 0.0432775i 0.947319 0.320291i \(-0.103781\pi\)
−0.931568 + 0.363568i \(0.881558\pi\)
\(444\) −5.56811 + 0.870290i −0.264251 + 0.0413021i
\(445\) −20.3172 + 11.7301i −0.963128 + 0.556062i
\(446\) −15.8745 5.95365i −0.751680 0.281914i
\(447\) 13.3744 + 11.2224i 0.632586 + 0.530802i
\(448\) −27.2819 17.9548i −1.28895 0.848285i
\(449\) −18.7171 10.8063i −0.883312 0.509981i −0.0115631 0.999933i \(-0.503681\pi\)
−0.871749 + 0.489953i \(0.837014\pi\)
\(450\) 13.6801 11.2536i 0.644886 0.530502i
\(451\) −0.412309 2.33832i −0.0194149 0.110107i
\(452\) −18.6576 + 10.2925i −0.877581 + 0.484119i
\(453\) −16.4451 5.98554i −0.772659 0.281225i
\(454\) −2.58410 + 4.37673i −0.121278 + 0.205410i
\(455\) 23.1333 1.08451
\(456\) −6.83810 12.5734i −0.320224 0.588804i
\(457\) −14.8816 −0.696132 −0.348066 0.937470i \(-0.613162\pi\)
−0.348066 + 0.937470i \(0.613162\pi\)
\(458\) 6.09958 10.3310i 0.285015 0.482735i
\(459\) −23.7593 8.64769i −1.10899 0.403639i
\(460\) 19.3701 10.6856i 0.903136 0.498217i
\(461\) 0.538610 + 3.05461i 0.0250856 + 0.142267i 0.994778 0.102061i \(-0.0325437\pi\)
−0.969693 + 0.244328i \(0.921433\pi\)
\(462\) −1.55458 + 1.27885i −0.0723258 + 0.0594973i
\(463\) 10.3891 + 5.99813i 0.482821 + 0.278757i 0.721591 0.692319i \(-0.243411\pi\)
−0.238771 + 0.971076i \(0.576744\pi\)
\(464\) 0.654484 + 2.04254i 0.0303836 + 0.0948226i
\(465\) −13.1254 11.0135i −0.608675 0.510739i
\(466\) 27.6337 + 10.3639i 1.28011 + 0.480097i
\(467\) 6.20648 3.58331i 0.287202 0.165816i −0.349478 0.936945i \(-0.613641\pi\)
0.636679 + 0.771129i \(0.280308\pi\)
\(468\) −5.21596 + 0.815250i −0.241108 + 0.0376850i
\(469\) 9.65407 + 26.5243i 0.445783 + 1.22478i
\(470\) −14.3613 + 8.10596i −0.662438 + 0.373900i
\(471\) 3.26939 18.5416i 0.150646 0.854354i
\(472\) 12.0836 9.55164i 0.556192 0.439650i
\(473\) −0.521319 + 0.437439i −0.0239703 + 0.0201134i
\(474\) −0.308292 + 0.108819i −0.0141603 + 0.00499823i
\(475\) −31.0933 11.1853i −1.42666 0.513217i
\(476\) 23.9949 + 29.7548i 1.09980 + 1.36381i
\(477\) 5.52720 + 6.58706i 0.253073 + 0.301601i
\(478\) 0.364552 37.4113i 0.0166742 1.71115i
\(479\) −30.0195 5.29324i −1.37162 0.241854i −0.561192 0.827686i \(-0.689657\pi\)
−0.810433 + 0.585831i \(0.800768\pi\)
\(480\) −22.2503 + 6.89124i −1.01558 + 0.314541i
\(481\) 3.64388 1.32627i 0.166147 0.0604725i
\(482\) −21.8207 4.06720i −0.993906 0.185256i
\(483\) −7.38981 12.7995i −0.336248 0.582399i
\(484\) 21.8155 + 0.425199i 0.991612 + 0.0193272i
\(485\) −13.8335 + 16.4861i −0.628147 + 0.748597i
\(486\) 15.7710 + 13.4975i 0.715388 + 0.612259i
\(487\) −14.6412 + 25.3593i −0.663455 + 1.14914i 0.316246 + 0.948677i \(0.397577\pi\)
−0.979702 + 0.200461i \(0.935756\pi\)
\(488\) 1.95912 9.48117i 0.0886854 0.429192i
\(489\) −7.20250 + 1.26999i −0.325708 + 0.0574311i
\(490\) 7.95453 + 47.8333i 0.359349 + 2.16089i
\(491\) −8.64980 + 23.7651i −0.390360 + 1.07250i 0.576478 + 0.817113i \(0.304427\pi\)
−0.966838 + 0.255392i \(0.917795\pi\)
\(492\) −18.0114 3.53912i −0.812017 0.159556i
\(493\) 2.51026i 0.113056i
\(494\) 6.28482 + 7.58185i 0.282767 + 0.341124i
\(495\) 1.76015i 0.0791127i
\(496\) −7.75417 14.7278i −0.348172 0.661296i
\(497\) 5.97650 16.4203i 0.268083 0.736551i
\(498\) 24.1302 4.01278i 1.08130 0.179817i
\(499\) −19.5472 + 3.44669i −0.875052 + 0.154295i −0.593096 0.805132i \(-0.702094\pi\)
−0.281956 + 0.959427i \(0.590983\pi\)
\(500\) −9.46122 + 15.6738i −0.423119 + 0.700953i
\(501\) −3.11727 + 5.39927i −0.139269 + 0.241221i
\(502\) −1.85983 + 2.17310i −0.0830084 + 0.0969903i
\(503\) −10.8354 + 12.9131i −0.483127 + 0.575768i −0.951456 0.307786i \(-0.900412\pi\)
0.468329 + 0.883554i \(0.344856\pi\)
\(504\) −5.99866 18.1117i −0.267202 0.806757i
\(505\) 9.72330 + 16.8412i 0.432681 + 0.749425i
\(506\) 0.242701 1.30210i 0.0107894 0.0578854i
\(507\) 11.3974 4.14833i 0.506178 0.184234i
\(508\) −27.5553 24.0521i −1.22257 1.06714i
\(509\) −5.53279 0.975580i −0.245237 0.0432418i 0.0496786 0.998765i \(-0.484180\pi\)
−0.294915 + 0.955523i \(0.595291\pi\)
\(510\) 27.2602 + 0.265636i 1.20710 + 0.0117625i
\(511\) 23.7486 + 28.3024i 1.05057 + 1.25203i
\(512\) −22.5405 1.98182i −0.996157 0.0875848i
\(513\) 4.00113 23.1994i 0.176654 1.02428i
\(514\) 2.16883 + 6.14445i 0.0956630 + 0.271020i
\(515\) 49.9202 41.8880i 2.19975 1.84581i
\(516\) 1.70270 + 4.97787i 0.0749570 + 0.219139i
\(517\) −0.171457 + 0.972379i −0.00754066 + 0.0427652i
\(518\) 6.88843 + 12.2042i 0.302660 + 0.536222i
\(519\) −6.15113 16.9001i −0.270005 0.741831i
\(520\) 14.1082 7.60447i 0.618686 0.333478i
\(521\) 10.7604 6.21252i 0.471422 0.272175i −0.245413 0.969419i \(-0.578924\pi\)
0.716835 + 0.697243i \(0.245590\pi\)
\(522\) −0.439990 + 1.17317i −0.0192579 + 0.0513482i
\(523\) 9.51699 + 7.98570i 0.416149 + 0.349190i 0.826696 0.562649i \(-0.190218\pi\)
−0.410547 + 0.911839i \(0.634662\pi\)
\(524\) 1.99634 5.16917i 0.0872104 0.225816i
\(525\) 31.1150 + 17.9643i 1.35797 + 0.784024i
\(526\) −7.97585 9.69556i −0.347764 0.422747i
\(527\) 3.38268 + 19.1841i 0.147352 + 0.835673i
\(528\) −0.527700 + 1.29095i −0.0229652 + 0.0561815i
\(529\) −12.4746 4.54039i −0.542375 0.197408i
\(530\) −22.4791 13.2720i −0.976428 0.576499i
\(531\) 8.99795 0.390478
\(532\) −23.3034 + 26.9004i −1.01033 + 1.16628i
\(533\) 12.6300 0.547067
\(534\) 9.35084 + 5.52089i 0.404651 + 0.238912i
\(535\) 55.4469 + 20.1810i 2.39718 + 0.872502i
\(536\) 14.6069 + 13.0028i 0.630920 + 0.561633i
\(537\) 1.65019 + 9.35867i 0.0712108 + 0.403856i
\(538\) 6.42781 + 7.81375i 0.277123 + 0.336875i
\(539\) 2.51432 + 1.45165i 0.108300 + 0.0625268i
\(540\) −35.7405 13.8030i −1.53802 0.593986i
\(541\) 1.32512 + 1.11191i 0.0569713 + 0.0478046i 0.670829 0.741612i \(-0.265939\pi\)
−0.613857 + 0.789417i \(0.710383\pi\)
\(542\) 15.8407 42.2367i 0.680414 1.81422i
\(543\) −17.6007 + 10.1618i −0.755320 + 0.436084i
\(544\) 24.4148 + 10.2588i 1.04677 + 0.439840i
\(545\) −10.3392 28.4067i −0.442883 1.21681i
\(546\) −5.26323 9.32485i −0.225245 0.399067i
\(547\) 1.45078 8.22779i 0.0620309 0.351795i −0.937956 0.346753i \(-0.887284\pi\)
0.999987 0.00504147i \(-0.00160476\pi\)
\(548\) 20.1370 6.88793i 0.860211 0.294238i
\(549\) 4.33250 3.63540i 0.184907 0.155155i
\(550\) 1.07172 + 3.03626i 0.0456983 + 0.129467i
\(551\) 2.30024 0.414484i 0.0979934 0.0176576i
\(552\) −8.71429 5.37678i −0.370905 0.228851i
\(553\) 0.522568 + 0.622772i 0.0222218 + 0.0264829i
\(554\) −14.6017 0.142285i −0.620366 0.00604512i
\(555\) 9.84293 + 1.73557i 0.417809 + 0.0736710i
\(556\) 24.0068 27.5035i 1.01812 1.16641i
\(557\) −29.6978 + 10.8091i −1.25834 + 0.457997i −0.883210 0.468977i \(-0.844623\pi\)
−0.375126 + 0.926974i \(0.622400\pi\)
\(558\) 1.78164 9.55860i 0.0754230 0.404648i
\(559\) −1.80997 3.13496i −0.0765535 0.132594i
\(560\) 35.4741 + 45.7876i 1.49905 + 1.93488i
\(561\) 1.04919 1.25038i 0.0442968 0.0527909i
\(562\) −23.0967 + 26.9871i −0.974274 + 1.13838i
\(563\) 6.50555 11.2679i 0.274176 0.474887i −0.695751 0.718283i \(-0.744928\pi\)
0.969927 + 0.243396i \(0.0782615\pi\)
\(564\) 6.53490 + 3.94468i 0.275169 + 0.166101i
\(565\) 37.2155 6.56210i 1.56567 0.276070i
\(566\) −20.4178 + 3.39541i −0.858223 + 0.142720i
\(567\) −1.83336 + 5.03711i −0.0769938 + 0.211539i
\(568\) −1.75288 11.9788i −0.0735491 0.502619i
\(569\) 36.1864i 1.51701i −0.651665 0.758507i \(-0.725929\pi\)
0.651665 0.758507i \(-0.274071\pi\)
\(570\) 4.25769 + 25.0234i 0.178335 + 1.04811i
\(571\) 45.6728i 1.91135i −0.294430 0.955673i \(-0.595130\pi\)
0.294430 0.955673i \(-0.404870\pi\)
\(572\) 0.185018 0.941600i 0.00773599 0.0393703i
\(573\) 2.15507 5.92099i 0.0900292 0.247353i
\(574\) 7.48771 + 45.0262i 0.312531 + 1.87936i
\(575\) −23.2813 + 4.10512i −0.970896 + 0.171195i
\(576\) −9.61210 9.07377i −0.400504 0.378074i
\(577\) 7.41053 12.8354i 0.308504 0.534345i −0.669531 0.742784i \(-0.733505\pi\)
0.978035 + 0.208439i \(0.0668383\pi\)
\(578\) −5.28230 4.52081i −0.219715 0.188041i
\(579\) −6.55269 + 7.80919i −0.272320 + 0.324539i
\(580\) 0.0741249 3.80309i 0.00307787 0.157915i
\(581\) −30.4137 52.6781i −1.26177 2.18546i
\(582\) 9.79279 + 1.82529i 0.405924 + 0.0756609i
\(583\) −1.46873 + 0.534573i −0.0608284 + 0.0221397i
\(584\) 23.7871 + 9.45396i 0.984317 + 0.391208i
\(585\) 9.22043 + 1.62581i 0.381218 + 0.0672190i
\(586\) 0.405726 41.6367i 0.0167604 1.72000i
\(587\) −27.2045 32.4211i −1.12285 1.33816i −0.934460 0.356067i \(-0.884117\pi\)
−0.188391 0.982094i \(-0.560327\pi\)
\(588\) 17.4714 14.0893i 0.720509 0.581033i
\(589\) −17.0206 + 6.26728i −0.701320 + 0.258239i
\(590\) −25.7589 + 9.09222i −1.06048 + 0.374321i
\(591\) 2.65352 2.22657i 0.109151 0.0915888i
\(592\) 8.21283 + 5.17854i 0.337545 + 0.212837i
\(593\) −4.25553 + 24.1343i −0.174754 + 0.991077i 0.763674 + 0.645602i \(0.223393\pi\)
−0.938428 + 0.345475i \(0.887718\pi\)
\(594\) −1.99771 + 1.12757i −0.0819669 + 0.0462646i
\(595\) −23.1855 63.7016i −0.950513 2.61151i
\(596\) −4.64481 29.7174i −0.190259 1.21727i
\(597\) −0.867774 + 0.501010i −0.0355156 + 0.0205050i
\(598\) 6.59681 + 2.47410i 0.269764 + 0.101173i
\(599\) 3.72253 + 3.12357i 0.152098 + 0.127626i 0.715661 0.698447i \(-0.246125\pi\)
−0.563563 + 0.826073i \(0.690570\pi\)
\(600\) 24.8812 + 0.727545i 1.01577 + 0.0297019i
\(601\) 13.4093 + 7.74187i 0.546978 + 0.315798i 0.747902 0.663809i \(-0.231061\pi\)
−0.200925 + 0.979607i \(0.564395\pi\)
\(602\) 10.1031 8.31112i 0.411772 0.338736i
\(603\) 1.98377 + 11.2505i 0.0807853 + 0.458156i
\(604\) 14.5632 + 26.3993i 0.592569 + 1.07417i
\(605\) −36.3628 13.2350i −1.47836 0.538078i
\(606\) 4.57635 7.75105i 0.185901 0.314865i
\(607\) −18.2620 −0.741230 −0.370615 0.928787i \(-0.620853\pi\)
−0.370615 + 0.928787i \(0.620853\pi\)
\(608\) −5.36918 + 24.0660i −0.217749 + 0.976005i
\(609\) −2.54131 −0.102979
\(610\) −8.72938 + 14.7851i −0.353442 + 0.598632i
\(611\) −4.93539 1.79633i −0.199664 0.0726719i
\(612\) 7.47266 + 13.5460i 0.302065 + 0.547564i
\(613\) 7.49765 + 42.5213i 0.302827 + 1.71742i 0.633560 + 0.773694i \(0.281593\pi\)
−0.330732 + 0.943725i \(0.607296\pi\)
\(614\) 17.2877 14.2214i 0.697676 0.573929i
\(615\) 28.1922 + 16.2768i 1.13682 + 0.656343i
\(616\) 3.46651 + 0.101363i 0.139669 + 0.00408404i
\(617\) −2.81302 2.36041i −0.113248 0.0950264i 0.584405 0.811462i \(-0.301328\pi\)
−0.697653 + 0.716436i \(0.745772\pi\)
\(618\) −28.2424 10.5922i −1.13608 0.426080i
\(619\) 13.5511 7.82373i 0.544665 0.314462i −0.202303 0.979323i \(-0.564842\pi\)
0.746967 + 0.664861i \(0.231509\pi\)
\(620\) 4.55834 + 29.1642i 0.183067 + 1.17126i
\(621\) −5.76044 15.8267i −0.231159 0.635103i
\(622\) −16.1928 + 9.13968i −0.649270 + 0.366468i
\(623\) 4.68896 26.5924i 0.187859 1.06540i
\(624\) −6.27516 3.95676i −0.251207 0.158397i
\(625\) −4.16373 + 3.49379i −0.166549 + 0.139751i
\(626\) −26.1466 + 9.22906i −1.04503 + 0.368867i
\(627\) 1.31900 + 0.754952i 0.0526758 + 0.0301499i
\(628\) −25.2491 + 20.3614i −1.00755 + 0.812509i
\(629\) −7.30421 8.70481i −0.291238 0.347084i
\(630\) −0.329701 + 33.8348i −0.0131356 + 1.34801i
\(631\) −38.6875 6.82166i −1.54013 0.271566i −0.661820 0.749663i \(-0.730216\pi\)
−0.878307 + 0.478097i \(0.841327\pi\)
\(632\) 0.523416 + 0.208027i 0.0208204 + 0.00827486i
\(633\) −9.67466 + 3.52129i −0.384533 + 0.139959i
\(634\) 8.40283 + 1.56622i 0.333719 + 0.0622025i
\(635\) 32.4332 + 56.1760i 1.28707 + 2.22928i
\(636\) −0.235462 + 12.0807i −0.00933669 + 0.479033i
\(637\) −9.92680 + 11.8303i −0.393314 + 0.468733i
\(638\) −0.173031 0.148087i −0.00685035 0.00586281i
\(639\) 3.53612 6.12474i 0.139887 0.242291i
\(640\) 36.6859 + 16.2631i 1.45014 + 0.642857i
\(641\) −34.0089 + 5.99669i −1.34327 + 0.236855i −0.798635 0.601816i \(-0.794444\pi\)
−0.544638 + 0.838671i \(0.683333\pi\)
\(642\) −4.48033 26.9417i −0.176824 1.06331i
\(643\) −8.89830 + 24.4479i −0.350915 + 0.964130i 0.631162 + 0.775651i \(0.282578\pi\)
−0.982077 + 0.188479i \(0.939644\pi\)
\(644\) −4.90928 + 24.9845i −0.193453 + 0.984526i
\(645\) 9.33028i 0.367380i
\(646\) 14.5790 24.9053i 0.573602 0.979886i
\(647\) 29.4173i 1.15651i 0.815855 + 0.578256i \(0.196267\pi\)
−0.815855 + 0.578256i \(0.803733\pi\)
\(648\) 0.537714 + 3.67462i 0.0211234 + 0.144353i
\(649\) −0.559387 + 1.53690i −0.0219579 + 0.0603288i
\(650\) −16.8952 + 2.80962i −0.662685 + 0.110202i
\(651\) 19.4214 3.42452i 0.761186 0.134218i
\(652\) 10.7869 + 6.51136i 0.422449 + 0.255004i
\(653\) 5.77812 10.0080i 0.226115 0.391643i −0.730538 0.682872i \(-0.760731\pi\)
0.956654 + 0.291229i \(0.0940640\pi\)
\(654\) −9.09817 + 10.6307i −0.355767 + 0.415692i
\(655\) −6.31686 + 7.52814i −0.246820 + 0.294149i
\(656\) 19.3677 + 24.9985i 0.756180 + 0.976029i
\(657\) 7.47656 + 12.9498i 0.291688 + 0.505219i
\(658\) 3.47801 18.6597i 0.135587 0.727430i
\(659\) −7.45091 + 2.71191i −0.290246 + 0.105641i −0.483040 0.875598i \(-0.660467\pi\)
0.192794 + 0.981239i \(0.438245\pi\)
\(660\) 1.62646 1.86336i 0.0633100 0.0725312i
\(661\) 8.97455 + 1.58246i 0.349070 + 0.0615504i 0.345434 0.938443i \(-0.387732\pi\)
0.00363550 + 0.999993i \(0.498843\pi\)
\(662\) 5.19146 + 0.0505879i 0.201772 + 0.00196615i
\(663\) 5.58091 + 6.65107i 0.216745 + 0.258306i
\(664\) −35.8648 22.1289i −1.39183 0.858766i
\(665\) 54.5438 31.7639i 2.11512 1.23175i
\(666\) 1.88786 + 5.34845i 0.0731532 + 0.207248i
\(667\) 1.28094 1.07483i 0.0495981 0.0416178i
\(668\) 10.1627 3.47619i 0.393208 0.134498i
\(669\) 2.41674 13.7060i 0.0934366 0.529905i
\(670\) −17.0474 30.2028i −0.658599 1.16684i
\(671\) 0.351604 + 0.966024i 0.0135735 + 0.0372929i
\(672\) 10.3857 24.7168i 0.400636 0.953471i
\(673\) −12.1210 + 6.99808i −0.467231 + 0.269756i −0.715080 0.699043i \(-0.753610\pi\)
0.247849 + 0.968799i \(0.420276\pi\)
\(674\) −8.93465 + 23.8229i −0.344150 + 0.917623i
\(675\) 31.3642 + 26.3177i 1.20721 + 1.01297i
\(676\) −19.4925 7.52800i −0.749710 0.289538i
\(677\) 38.4118 + 22.1771i 1.47629 + 0.852334i 0.999642 0.0267620i \(-0.00851964\pi\)
0.476644 + 0.879096i \(0.341853\pi\)
\(678\) −11.1123 13.5083i −0.426766 0.518783i
\(679\) −4.30138 24.3943i −0.165072 0.936168i
\(680\) −35.0803 31.2278i −1.34527 1.19753i
\(681\) −3.92065 1.42700i −0.150240 0.0546827i
\(682\) 1.52190 + 0.898557i 0.0582767 + 0.0344075i
\(683\) 31.4233 1.20238 0.601190 0.799106i \(-0.294693\pi\)
0.601190 + 0.799106i \(0.294693\pi\)
\(684\) −11.1788 + 9.08413i −0.427432 + 0.347340i
\(685\) −37.7439 −1.44212
\(686\) −13.2586 7.82812i −0.506217 0.298879i
\(687\) 9.25442 + 3.36833i 0.353078 + 0.128510i
\(688\) 3.42948 8.38979i 0.130748 0.319858i
\(689\) −1.44370 8.18762i −0.0550005 0.311923i
\(690\) 11.5367 + 14.0241i 0.439193 + 0.533889i
\(691\) 1.99231 + 1.15026i 0.0757911 + 0.0437580i 0.537417 0.843317i \(-0.319400\pi\)
−0.461626 + 0.887075i \(0.652734\pi\)
\(692\) −11.1625 + 28.9033i −0.424334 + 1.09874i
\(693\) 1.55194 + 1.30223i 0.0589533 + 0.0494677i
\(694\) 8.08781 21.5649i 0.307009 0.818593i
\(695\) −56.0702 + 32.3721i −2.12686 + 1.22795i
\(696\) −1.54986 + 0.835389i −0.0587472 + 0.0316653i
\(697\) −12.6585 34.7790i −0.479475 1.31735i
\(698\) −8.23072 14.5823i −0.311537 0.551950i
\(699\) −4.20696 + 23.8589i −0.159122 + 0.902425i
\(700\) −20.0327 58.5660i −0.757164 2.21359i
\(701\) 21.6513 18.1676i 0.817757 0.686180i −0.134689 0.990888i \(-0.543003\pi\)
0.952446 + 0.304708i \(0.0985590\pi\)
\(702\) −4.06146 11.5064i −0.153290 0.434281i
\(703\) 6.77049 8.13041i 0.255354 0.306644i
\(704\) 2.14742 1.07770i 0.0809340 0.0406175i
\(705\) −8.70156 10.3701i −0.327720 0.390561i
\(706\) 36.4975 + 0.355648i 1.37360 + 0.0133850i
\(707\) −22.0428 3.88675i −0.829006 0.146176i
\(708\) 9.52559 + 8.31456i 0.357994 + 0.312480i
\(709\) 22.1340 8.05611i 0.831259 0.302553i 0.108883 0.994055i \(-0.465272\pi\)
0.722375 + 0.691501i \(0.243050\pi\)
\(710\) −3.93413 + 21.1068i −0.147645 + 0.792123i
\(711\) 0.164516 + 0.284949i 0.00616981 + 0.0106864i
\(712\) −5.88191 17.7591i −0.220434 0.665552i
\(713\) −8.34092 + 9.94032i −0.312370 + 0.372268i
\(714\) −20.4025 + 23.8391i −0.763545 + 0.892156i
\(715\) −0.850917 + 1.47383i −0.0318225 + 0.0551182i
\(716\) 8.46063 14.0162i 0.316189 0.523809i
\(717\) 30.2452 5.33305i 1.12953 0.199166i
\(718\) 5.93921 0.987671i 0.221649 0.0368596i
\(719\) 6.03096 16.5699i 0.224917 0.617954i −0.774985 0.631980i \(-0.782243\pi\)
0.999902 + 0.0140260i \(0.00446476\pi\)
\(720\) 10.9212 + 20.7431i 0.407010 + 0.773049i
\(721\) 75.0058i 2.79336i
\(722\) 25.2288 + 9.24694i 0.938920 + 0.344136i
\(723\) 18.2208i 0.677638i
\(724\) 34.3564 + 6.75078i 1.27684 + 0.250891i
\(725\) −1.39028 + 3.81976i −0.0516336 + 0.141862i
\(726\) 2.93825 + 17.6687i 0.109049 + 0.655747i
\(727\) 4.39466 0.774896i 0.162989 0.0287393i −0.0915582 0.995800i \(-0.529185\pi\)
0.254547 + 0.967060i \(0.418074\pi\)
\(728\) −3.73293 + 18.0655i −0.138351 + 0.669551i
\(729\) −10.4896 + 18.1685i −0.388504 + 0.672909i
\(730\) −34.4890 29.5171i −1.27649 1.09248i
\(731\) −6.81860 + 8.12609i −0.252195 + 0.300554i
\(732\) 7.94585 + 0.154870i 0.293687 + 0.00572418i
\(733\) 18.5155 + 32.0698i 0.683886 + 1.18453i 0.973785 + 0.227469i \(0.0730450\pi\)
−0.289899 + 0.957057i \(0.593622\pi\)
\(734\) −3.60610 0.672148i −0.133104 0.0248094i
\(735\) −37.4043 + 13.6141i −1.37968 + 0.502162i
\(736\) 5.21899 + 16.8510i 0.192374 + 0.621135i
\(737\) −2.04498 0.360585i −0.0753279 0.0132823i
\(738\) −0.180006 + 18.4727i −0.00662611 + 0.679989i
\(739\) 33.1809 + 39.5434i 1.22058 + 1.45463i 0.850785 + 0.525513i \(0.176127\pi\)
0.369792 + 0.929114i \(0.379429\pi\)
\(740\) −10.8090 13.4036i −0.397346 0.492728i
\(741\) −5.17311 + 6.21219i −0.190039 + 0.228210i
\(742\) 28.3331 10.0008i 1.04014 0.367142i
\(743\) 1.13874 0.955514i 0.0417762 0.0350544i −0.621660 0.783287i \(-0.713542\pi\)
0.663437 + 0.748232i \(0.269097\pi\)
\(744\) 10.7187 8.47278i 0.392968 0.310627i
\(745\) −9.26290 + 52.5325i −0.339366 + 1.92464i
\(746\) −46.3908 + 26.1844i −1.69849 + 0.958679i
\(747\) −8.42002 23.1338i −0.308073 0.846423i
\(748\) −2.77830 + 0.434245i −0.101585 + 0.0158776i
\(749\) −58.8159 + 33.9574i −2.14909 + 1.24078i
\(750\) −14.0716 5.27749i −0.513823 0.192707i
\(751\) −24.8869 20.8826i −0.908134 0.762015i 0.0636288 0.997974i \(-0.479733\pi\)
−0.971763 + 0.235958i \(0.924177\pi\)
\(752\) −4.01276 12.5232i −0.146330 0.456674i
\(753\) −2.03341 1.17399i −0.0741016 0.0427826i
\(754\) 0.935570 0.769627i 0.0340714 0.0280282i
\(755\) −9.28494 52.6575i −0.337914 1.91640i
\(756\) 38.6126 21.3007i 1.40433 0.774699i
\(757\) −14.9991 5.45921i −0.545150 0.198418i 0.0547403 0.998501i \(-0.482567\pi\)
−0.599890 + 0.800082i \(0.704789\pi\)
\(758\) 12.7147 21.5352i 0.461820 0.782194i
\(759\) 1.08728 0.0394659
\(760\) 22.8228 37.3015i 0.827871 1.35307i
\(761\) 37.3192 1.35282 0.676410 0.736526i \(-0.263535\pi\)
0.676410 + 0.736526i \(0.263535\pi\)
\(762\) 15.2650 25.8546i 0.552991 0.936612i
\(763\) 32.6959 + 11.9003i 1.18367 + 0.430821i
\(764\) −9.50495 + 5.24343i −0.343877 + 0.189700i
\(765\) −4.76428 27.0196i −0.172253 0.976894i
\(766\) −21.5580 + 17.7342i −0.778922 + 0.640763i
\(767\) −7.53430 4.34993i −0.272048 0.157067i
\(768\) −1.79113 18.4879i −0.0646320 0.667125i
\(769\) 0.934238 + 0.783919i 0.0336895 + 0.0282688i 0.659477 0.751725i \(-0.270778\pi\)
−0.625787 + 0.779994i \(0.715222\pi\)
\(770\) −5.75869 2.15977i −0.207529 0.0778326i
\(771\) −4.63226 + 2.67443i −0.166827 + 0.0963174i
\(772\) 17.3518 2.71207i 0.624504 0.0976095i
\(773\) 14.4258 +