Properties

Label 96.2.o.a.35.2
Level 96
Weight 2
Character 96.35
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 35.2
Character \(\chi\) = 96.35
Dual form 96.2.o.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12377 - 0.858568i) q^{2} +(-0.0380372 - 1.73163i) q^{3} +(0.525721 + 1.92967i) q^{4} +(2.18808 - 0.906333i) q^{5} +(-1.44398 + 1.97862i) q^{6} +(-1.93241 - 1.93241i) q^{7} +(1.06596 - 2.61987i) q^{8} +(-2.99711 + 0.131733i) q^{9} +O(q^{10})\) \(q+(-1.12377 - 0.858568i) q^{2} +(-0.0380372 - 1.73163i) q^{3} +(0.525721 + 1.92967i) q^{4} +(2.18808 - 0.906333i) q^{5} +(-1.44398 + 1.97862i) q^{6} +(-1.93241 - 1.93241i) q^{7} +(1.06596 - 2.61987i) q^{8} +(-2.99711 + 0.131733i) q^{9} +(-3.23705 - 0.860107i) q^{10} +(-1.42447 + 0.590036i) q^{11} +(3.32148 - 0.983754i) q^{12} +(-0.110405 + 0.266541i) q^{13} +(0.512479 + 3.83069i) q^{14} +(-1.65266 - 3.75448i) q^{15} +(-3.44724 + 2.02893i) q^{16} +6.17031 q^{17} +(3.48116 + 2.42518i) q^{18} +(7.34269 + 3.04144i) q^{19} +(2.89924 + 3.74579i) q^{20} +(-3.27272 + 3.41972i) q^{21} +(2.10737 + 0.559943i) q^{22} +(-1.85295 - 1.85295i) q^{23} +(-4.57720 - 1.74620i) q^{24} +(0.430727 - 0.430727i) q^{25} +(0.352914 - 0.204741i) q^{26} +(0.342114 + 5.18488i) q^{27} +(2.71300 - 4.74481i) q^{28} +(-2.11574 + 5.10784i) q^{29} +(-1.36626 + 5.63810i) q^{30} -3.42046i q^{31} +(5.61588 + 0.679633i) q^{32} +(1.07591 + 2.44422i) q^{33} +(-6.93401 - 5.29763i) q^{34} +(-5.97967 - 2.47686i) q^{35} +(-1.82984 - 5.71416i) q^{36} +(2.52377 + 6.09293i) q^{37} +(-5.64022 - 9.72209i) q^{38} +(0.465751 + 0.181042i) q^{39} +(-0.0420633 - 6.69861i) q^{40} +(0.753641 - 0.753641i) q^{41} +(6.61385 - 1.03313i) q^{42} +(1.57129 + 3.79343i) q^{43} +(-1.88745 - 2.43857i) q^{44} +(-6.43852 + 3.00462i) q^{45} +(0.491405 + 3.67317i) q^{46} +1.54798i q^{47} +(3.64449 + 5.89217i) q^{48} +0.468394i q^{49} +(-0.853846 + 0.114230i) q^{50} +(-0.234701 - 10.6847i) q^{51} +(-0.572378 - 0.0729187i) q^{52} +(-5.12700 - 12.3777i) q^{53} +(4.06711 - 6.12034i) q^{54} +(-2.58210 + 2.58210i) q^{55} +(-7.12253 + 3.00278i) q^{56} +(4.98737 - 12.8305i) q^{57} +(6.76303 - 3.92353i) q^{58} +(3.08775 + 7.45449i) q^{59} +(6.37606 - 5.16290i) q^{60} +(-4.28571 - 1.77520i) q^{61} +(-2.93670 + 3.84381i) q^{62} +(6.04619 + 5.53707i) q^{63} +(-5.72745 - 5.58537i) q^{64} +0.683277i q^{65} +(0.889457 - 3.67049i) q^{66} +(-0.531731 + 1.28371i) q^{67} +(3.24386 + 11.9066i) q^{68} +(-3.13814 + 3.27910i) q^{69} +(4.59322 + 7.91738i) q^{70} +(-8.72539 + 8.72539i) q^{71} +(-2.84968 + 7.99245i) q^{72} +(-2.73022 - 2.73022i) q^{73} +(2.39505 - 9.01389i) q^{74} +(-0.762244 - 0.729477i) q^{75} +(-2.00877 + 15.7679i) q^{76} +(3.89285 + 1.61247i) q^{77} +(-0.367960 - 0.603329i) q^{78} -2.76080 q^{79} +(-5.70394 + 7.56381i) q^{80} +(8.96529 - 0.789635i) q^{81} +(-1.49397 + 0.199867i) q^{82} +(-2.53133 + 6.11116i) q^{83} +(-8.31946 - 4.51744i) q^{84} +(13.5011 - 5.59235i) q^{85} +(1.49115 - 5.61200i) q^{86} +(8.92538 + 3.46939i) q^{87} +(0.0273838 + 4.36089i) q^{88} +(-4.14369 - 4.14369i) q^{89} +(9.81509 + 2.15141i) q^{90} +(0.728413 - 0.301719i) q^{91} +(2.60144 - 4.54970i) q^{92} +(-5.92298 + 0.130105i) q^{93} +(1.32905 - 1.73957i) q^{94} +18.8230 q^{95} +(0.963262 - 9.75049i) q^{96} -10.3656 q^{97} +(0.402149 - 0.526368i) q^{98} +(4.19157 - 1.95605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{8}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12377 0.858568i −0.794626 0.607100i
\(3\) −0.0380372 1.73163i −0.0219608 0.999759i
\(4\) 0.525721 + 1.92967i 0.262860 + 0.964834i
\(5\) 2.18808 0.906333i 0.978540 0.405324i 0.164655 0.986351i \(-0.447349\pi\)
0.813884 + 0.581027i \(0.197349\pi\)
\(6\) −1.44398 + 1.97862i −0.589503 + 0.807767i
\(7\) −1.93241 1.93241i −0.730381 0.730381i 0.240314 0.970695i \(-0.422750\pi\)
−0.970695 + 0.240314i \(0.922750\pi\)
\(8\) 1.06596 2.61987i 0.376875 0.926264i
\(9\) −2.99711 + 0.131733i −0.999035 + 0.0439110i
\(10\) −3.23705 0.860107i −1.02365 0.271990i
\(11\) −1.42447 + 0.590036i −0.429495 + 0.177903i −0.586949 0.809624i \(-0.699671\pi\)
0.157454 + 0.987526i \(0.449671\pi\)
\(12\) 3.32148 0.983754i 0.958829 0.283985i
\(13\) −0.110405 + 0.266541i −0.0306208 + 0.0739252i −0.938450 0.345414i \(-0.887738\pi\)
0.907829 + 0.419340i \(0.137738\pi\)
\(14\) 0.512479 + 3.83069i 0.136966 + 1.02379i
\(15\) −1.65266 3.75448i −0.426716 0.969402i
\(16\) −3.44724 + 2.02893i −0.861809 + 0.507233i
\(17\) 6.17031 1.49652 0.748260 0.663406i \(-0.230890\pi\)
0.748260 + 0.663406i \(0.230890\pi\)
\(18\) 3.48116 + 2.42518i 0.820518 + 0.571621i
\(19\) 7.34269 + 3.04144i 1.68453 + 0.697755i 0.999526 0.0307845i \(-0.00980057\pi\)
0.685004 + 0.728540i \(0.259801\pi\)
\(20\) 2.89924 + 3.74579i 0.648290 + 0.837585i
\(21\) −3.27272 + 3.41972i −0.714165 + 0.746245i
\(22\) 2.10737 + 0.559943i 0.449292 + 0.119380i
\(23\) −1.85295 1.85295i −0.386366 0.386366i 0.487023 0.873389i \(-0.338083\pi\)
−0.873389 + 0.487023i \(0.838083\pi\)
\(24\) −4.57720 1.74620i −0.934317 0.356442i
\(25\) 0.430727 0.430727i 0.0861453 0.0861453i
\(26\) 0.352914 0.204741i 0.0692121 0.0401530i
\(27\) 0.342114 + 5.18488i 0.0658400 + 0.997830i
\(28\) 2.71300 4.74481i 0.512708 0.896685i
\(29\) −2.11574 + 5.10784i −0.392882 + 0.948501i 0.596427 + 0.802667i \(0.296587\pi\)
−0.989309 + 0.145834i \(0.953413\pi\)
\(30\) −1.36626 + 5.63810i −0.249444 + 1.02937i
\(31\) 3.42046i 0.614332i −0.951656 0.307166i \(-0.900619\pi\)
0.951656 0.307166i \(-0.0993807\pi\)
\(32\) 5.61588 + 0.679633i 0.992757 + 0.120143i
\(33\) 1.07591 + 2.44422i 0.187292 + 0.425485i
\(34\) −6.93401 5.29763i −1.18917 0.908536i
\(35\) −5.97967 2.47686i −1.01075 0.418666i
\(36\) −1.82984 5.71416i −0.304974 0.952361i
\(37\) 2.52377 + 6.09293i 0.414906 + 1.00167i 0.983801 + 0.179262i \(0.0573709\pi\)
−0.568895 + 0.822410i \(0.692629\pi\)
\(38\) −5.64022 9.72209i −0.914964 1.57713i
\(39\) 0.465751 + 0.181042i 0.0745798 + 0.0289900i
\(40\) −0.0420633 6.69861i −0.00665079 1.05914i
\(41\) 0.753641 0.753641i 0.117699 0.117699i −0.645804 0.763503i \(-0.723478\pi\)
0.763503 + 0.645804i \(0.223478\pi\)
\(42\) 6.61385 1.03313i 1.02054 0.159416i
\(43\) 1.57129 + 3.79343i 0.239619 + 0.578492i 0.997243 0.0741989i \(-0.0236400\pi\)
−0.757624 + 0.652691i \(0.773640\pi\)
\(44\) −1.88745 2.43857i −0.284544 0.367628i
\(45\) −6.43852 + 3.00462i −0.959798 + 0.447902i
\(46\) 0.491405 + 3.67317i 0.0724538 + 0.541579i
\(47\) 1.54798i 0.225796i 0.993607 + 0.112898i \(0.0360133\pi\)
−0.993607 + 0.112898i \(0.963987\pi\)
\(48\) 3.64449 + 5.89217i 0.526037 + 0.850462i
\(49\) 0.468394i 0.0669135i
\(50\) −0.853846 + 0.114230i −0.120752 + 0.0161545i
\(51\) −0.234701 10.6847i −0.0328647 1.49616i
\(52\) −0.572378 0.0729187i −0.0793745 0.0101120i
\(53\) −5.12700 12.3777i −0.704248 1.70020i −0.713897 0.700251i \(-0.753072\pi\)
0.00964932 0.999953i \(1.50307\pi\)
\(54\) 4.06711 6.12034i 0.553464 0.832873i
\(55\) −2.58210 + 2.58210i −0.348170 + 0.348170i
\(56\) −7.12253 + 3.00278i −0.951788 + 0.401264i
\(57\) 4.98737 12.8305i 0.660593 1.69945i
\(58\) 6.76303 3.92353i 0.888029 0.515185i
\(59\) 3.08775 + 7.45449i 0.401991 + 0.970492i 0.987182 + 0.159597i \(0.0510195\pi\)
−0.585191 + 0.810895i \(0.698981\pi\)
\(60\) 6.37606 5.16290i 0.823146 0.666528i
\(61\) −4.28571 1.77520i −0.548728 0.227291i 0.0910552 0.995846i \(-0.470976\pi\)
−0.639784 + 0.768555i \(0.720976\pi\)
\(62\) −2.93670 + 3.84381i −0.372961 + 0.488164i
\(63\) 6.04619 + 5.53707i 0.761748 + 0.697605i
\(64\) −5.72745 5.58537i −0.715931 0.698171i
\(65\) 0.683277i 0.0847501i
\(66\) 0.889457 3.67049i 0.109485 0.451806i
\(67\) −0.531731 + 1.28371i −0.0649613 + 0.156831i −0.953026 0.302887i \(-0.902049\pi\)
0.888065 + 0.459718i \(0.152049\pi\)
\(68\) 3.24386 + 11.9066i 0.393376 + 1.44389i
\(69\) −3.13814 + 3.27910i −0.377788 + 0.394758i
\(70\) 4.59322 + 7.91738i 0.548995 + 0.946307i
\(71\) −8.72539 + 8.72539i −1.03551 + 1.03551i −0.0361678 + 0.999346i \(0.511515\pi\)
−0.999346 + 0.0361678i \(0.988485\pi\)
\(72\) −2.84968 + 7.99245i −0.335838 + 0.941920i
\(73\) −2.73022 2.73022i −0.319548 0.319548i 0.529046 0.848593i \(-0.322550\pi\)
−0.848593 + 0.529046i \(0.822550\pi\)
\(74\) 2.39505 9.01389i 0.278419 1.04784i
\(75\) −0.762244 0.729477i −0.0880164 0.0842327i
\(76\) −2.00877 + 15.7679i −0.230422 + 1.80870i
\(77\) 3.89285 + 1.61247i 0.443632 + 0.183758i
\(78\) −0.367960 0.603329i −0.0416633 0.0683136i
\(79\) −2.76080 −0.310614 −0.155307 0.987866i \(-0.549637\pi\)
−0.155307 + 0.987866i \(0.549637\pi\)
\(80\) −5.70394 + 7.56381i −0.637720 + 0.845660i
\(81\) 8.96529 0.789635i 0.996144 0.0877372i
\(82\) −1.49397 + 0.199867i −0.164982 + 0.0220716i
\(83\) −2.53133 + 6.11116i −0.277849 + 0.670787i −0.999776 0.0211827i \(-0.993257\pi\)
0.721927 + 0.691970i \(0.243257\pi\)
\(84\) −8.31946 4.51744i −0.907728 0.492893i
\(85\) 13.5011 5.59235i 1.46440 0.606576i
\(86\) 1.49115 5.61200i 0.160795 0.605158i
\(87\) 8.92538 + 3.46939i 0.956901 + 0.371958i
\(88\) 0.0273838 + 4.36089i 0.00291913 + 0.464873i
\(89\) −4.14369 4.14369i −0.439230 0.439230i 0.452523 0.891753i \(-0.350524\pi\)
−0.891753 + 0.452523i \(0.850524\pi\)
\(90\) 9.81509 + 2.15141i 1.03460 + 0.226778i
\(91\) 0.728413 0.301719i 0.0763585 0.0316287i
\(92\) 2.60144 4.54970i 0.271219 0.474339i
\(93\) −5.92298 + 0.130105i −0.614184 + 0.0134912i
\(94\) 1.32905 1.73957i 0.137081 0.179423i
\(95\) 18.8230 1.93120
\(96\) 0.963262 9.75049i 0.0983125 0.995156i
\(97\) −10.3656 −1.05246 −0.526232 0.850341i \(-0.676396\pi\)
−0.526232 + 0.850341i \(0.676396\pi\)
\(98\) 0.402149 0.526368i 0.0406231 0.0531712i
\(99\) 4.19157 1.95605i 0.421269 0.196591i
\(100\) 1.05760 + 0.604717i 0.105760 + 0.0604717i
\(101\) 10.5700 4.37825i 1.05176 0.435652i 0.211238 0.977435i \(-0.432250\pi\)
0.840519 + 0.541783i \(0.182250\pi\)
\(102\) −8.90980 + 12.2087i −0.882202 + 1.20884i
\(103\) −10.4823 10.4823i −1.03285 1.03285i −0.999442 0.0334101i \(-0.989363\pi\)
−0.0334101 0.999442i \(-0.510637\pi\)
\(104\) 0.580616 + 0.573370i 0.0569341 + 0.0562235i
\(105\) −4.06156 + 10.4488i −0.396368 + 1.01970i
\(106\) −4.86551 + 18.3115i −0.472580 + 1.77857i
\(107\) 9.39578 3.89186i 0.908325 0.376240i 0.120910 0.992664i \(-0.461419\pi\)
0.787415 + 0.616423i \(0.211419\pi\)
\(108\) −9.82523 + 3.38596i −0.945434 + 0.325815i
\(109\) 3.00588 7.25683i 0.287911 0.695078i −0.712064 0.702114i \(-0.752240\pi\)
0.999975 + 0.00703600i \(0.00223965\pi\)
\(110\) 5.11859 0.684777i 0.488038 0.0652910i
\(111\) 10.4547 4.60201i 0.992318 0.436803i
\(112\) 10.5822 + 2.74074i 0.999923 + 0.258975i
\(113\) −13.6372 −1.28288 −0.641438 0.767175i \(-0.721662\pi\)
−0.641438 + 0.767175i \(0.721662\pi\)
\(114\) −16.6206 + 10.1366i −1.55666 + 0.949378i
\(115\) −5.73378 2.37501i −0.534678 0.221471i
\(116\) −10.9687 1.39737i −1.01842 0.129743i
\(117\) 0.295783 0.813396i 0.0273452 0.0751985i
\(118\) 2.93027 11.0282i 0.269753 1.01523i
\(119\) −11.9235 11.9235i −1.09303 1.09303i
\(120\) −11.5979 + 0.327634i −1.05874 + 0.0299088i
\(121\) −6.09719 + 6.09719i −0.554290 + 0.554290i
\(122\) 3.29202 + 5.67449i 0.298046 + 0.513744i
\(123\) −1.33370 1.27636i −0.120255 0.115086i
\(124\) 6.60035 1.79821i 0.592729 0.161484i
\(125\) −3.97958 + 9.60756i −0.355945 + 0.859326i
\(126\) −2.04058 11.4135i −0.181789 1.01679i
\(127\) 7.75395i 0.688052i 0.938960 + 0.344026i \(0.111791\pi\)
−0.938960 + 0.344026i \(0.888209\pi\)
\(128\) 1.64092 + 11.1941i 0.145038 + 0.989426i
\(129\) 6.50906 2.86519i 0.573090 0.252266i
\(130\) 0.586640 0.767847i 0.0514518 0.0673446i
\(131\) 1.16782 + 0.483728i 0.102033 + 0.0422635i 0.433116 0.901338i \(-0.357414\pi\)
−0.331083 + 0.943602i \(0.607414\pi\)
\(132\) −4.15091 + 3.36113i −0.361290 + 0.292548i
\(133\) −8.31177 20.0664i −0.720722 1.73998i
\(134\) 1.69970 0.986071i 0.146832 0.0851836i
\(135\) 5.44780 + 11.0349i 0.468872 + 0.949730i
\(136\) 6.57732 16.1654i 0.564000 1.38617i
\(137\) 7.54494 7.54494i 0.644608 0.644608i −0.307077 0.951685i \(-0.599351\pi\)
0.951685 + 0.307077i \(0.0993509\pi\)
\(138\) 6.34189 0.990651i 0.539857 0.0843298i
\(139\) 0.412435 + 0.995705i 0.0349822 + 0.0844546i 0.940405 0.340056i \(-0.110446\pi\)
−0.905423 + 0.424511i \(0.860446\pi\)
\(140\) 1.63588 12.8409i 0.138257 1.08525i
\(141\) 2.68053 0.0588808i 0.225742 0.00495866i
\(142\) 17.2967 2.31399i 1.45151 0.194186i
\(143\) 0.444824i 0.0371980i
\(144\) 10.0645 6.53504i 0.838705 0.544587i
\(145\) 13.0939i 1.08739i
\(146\) 0.724059 + 5.41221i 0.0599236 + 0.447918i
\(147\) 0.811087 0.0178164i 0.0668973 0.00146947i
\(148\) −10.4305 + 8.07323i −0.857384 + 0.663615i
\(149\) 0.458938 + 1.10798i 0.0375977 + 0.0907689i 0.941563 0.336837i \(-0.109357\pi\)
−0.903965 + 0.427606i \(0.859357\pi\)
\(150\) 0.230282 + 1.47420i 0.0188024 + 0.120368i
\(151\) 9.80869 9.80869i 0.798220 0.798220i −0.184595 0.982815i \(-0.559097\pi\)
0.982815 + 0.184595i \(0.0590974\pi\)
\(152\) 15.7952 15.9948i 1.28116 1.29735i
\(153\) −18.4931 + 0.812833i −1.49508 + 0.0657136i
\(154\) −2.99026 5.15433i −0.240962 0.415348i
\(155\) −3.10007 7.48424i −0.249004 0.601148i
\(156\) −0.104497 + 0.993922i −0.00836644 + 0.0795775i
\(157\) 8.28207 + 3.43055i 0.660981 + 0.273787i 0.687851 0.725852i \(-0.258554\pi\)
−0.0268702 + 0.999639i \(0.508554\pi\)
\(158\) 3.10250 + 2.37033i 0.246822 + 0.188574i
\(159\) −21.2386 + 9.34890i −1.68433 + 0.741416i
\(160\) 12.9040 3.60276i 1.02015 0.284824i
\(161\) 7.16129i 0.564389i
\(162\) −10.7529 6.80995i −0.844827 0.535040i
\(163\) −1.15049 + 2.77752i −0.0901131 + 0.217552i −0.962510 0.271246i \(-0.912564\pi\)
0.872397 + 0.488798i \(0.162564\pi\)
\(164\) 1.85048 + 1.05807i 0.144498 + 0.0826215i
\(165\) 4.56946 + 4.37303i 0.355732 + 0.340440i
\(166\) 8.09148 4.69423i 0.628020 0.364343i
\(167\) 1.86833 1.86833i 0.144576 0.144576i −0.631114 0.775690i \(-0.717402\pi\)
0.775690 + 0.631114i \(0.217402\pi\)
\(168\) 5.47064 + 12.2194i 0.422069 + 0.942747i
\(169\) 9.13353 + 9.13353i 0.702579 + 0.702579i
\(170\) −19.9736 5.30713i −1.53191 0.407038i
\(171\) −22.4075 8.14826i −1.71354 0.623113i
\(172\) −6.49399 + 5.02635i −0.495162 + 0.383255i
\(173\) 9.59196 + 3.97312i 0.729263 + 0.302071i 0.716249 0.697845i \(-0.245857\pi\)
0.0130138 + 0.999915i \(0.495857\pi\)
\(174\) −7.05137 11.5618i −0.534563 0.876501i
\(175\) −1.66468 −0.125838
\(176\) 3.71335 4.92416i 0.279904 0.371172i
\(177\) 12.7910 5.63040i 0.961430 0.423207i
\(178\) 1.09892 + 8.21420i 0.0823672 + 0.615680i
\(179\) −0.00532113 + 0.0128464i −0.000397720 + 0.000960181i −0.924078 0.382203i \(-0.875165\pi\)
0.923681 + 0.383163i \(0.125165\pi\)
\(180\) −9.18278 10.8446i −0.684444 0.808310i
\(181\) −9.45181 + 3.91507i −0.702547 + 0.291005i −0.705217 0.708992i \(-0.749150\pi\)
0.00266940 + 0.999996i \(0.499150\pi\)
\(182\) −1.07762 0.286330i −0.0798782 0.0212242i
\(183\) −2.91097 + 7.48879i −0.215185 + 0.553588i
\(184\) −6.82965 + 2.87931i −0.503489 + 0.212266i
\(185\) 11.0444 + 11.0444i 0.812004 + 0.812004i
\(186\) 6.76777 + 4.93907i 0.496237 + 0.362150i
\(187\) −8.78944 + 3.64071i −0.642748 + 0.266235i
\(188\) −2.98709 + 0.813805i −0.217856 + 0.0593528i
\(189\) 9.35819 10.6804i 0.680708 0.776885i
\(190\) −21.1527 16.1608i −1.53458 1.17243i
\(191\) −7.77941 −0.562898 −0.281449 0.959576i \(-0.590815\pi\)
−0.281449 + 0.959576i \(0.590815\pi\)
\(192\) −9.45395 + 10.1303i −0.682280 + 0.731091i
\(193\) −6.23528 −0.448825 −0.224413 0.974494i \(-0.572046\pi\)
−0.224413 + 0.974494i \(0.572046\pi\)
\(194\) 11.6485 + 8.89956i 0.836316 + 0.638951i
\(195\) 1.18319 0.0259899i 0.0847297 0.00186118i
\(196\) −0.903846 + 0.246245i −0.0645604 + 0.0175889i
\(197\) −6.90773 + 2.86128i −0.492156 + 0.203858i −0.614937 0.788576i \(-0.710819\pi\)
0.122781 + 0.992434i \(0.460819\pi\)
\(198\) −6.38977 1.40060i −0.454101 0.0995362i
\(199\) 12.4517 + 12.4517i 0.882681 + 0.882681i 0.993806 0.111125i \(-0.0354455\pi\)
−0.111125 + 0.993806i \(0.535445\pi\)
\(200\) −0.669310 1.58759i −0.0473274 0.112259i
\(201\) 2.24315 + 0.871935i 0.158219 + 0.0615015i
\(202\) −15.6373 4.15494i −1.10024 0.292341i
\(203\) 13.9589 5.78196i 0.979721 0.405814i
\(204\) 20.4946 6.07007i 1.43491 0.424990i
\(205\) 0.965978 2.33208i 0.0674668 0.162879i
\(206\) 2.77993 + 20.7795i 0.193687 + 1.44777i
\(207\) 5.79757 + 5.30938i 0.402959 + 0.369028i
\(208\) −0.160202 1.14283i −0.0111080 0.0792413i
\(209\) −12.2540 −0.847630
\(210\) 13.5353 8.25493i 0.934023 0.569644i
\(211\) −1.16851 0.484011i −0.0804432 0.0333207i 0.342099 0.939664i \(-0.388862\pi\)
−0.422542 + 0.906343i \(0.638862\pi\)
\(212\) 21.1894 16.4006i 1.45530 1.12640i
\(213\) 15.4411 + 14.7773i 1.05800 + 1.01252i
\(214\) −13.9001 3.69336i −0.950194 0.252473i
\(215\) 6.87622 + 6.87622i 0.468954 + 0.468954i
\(216\) 13.9484 + 4.63059i 0.949068 + 0.315072i
\(217\) −6.60972 + 6.60972i −0.448697 + 0.448697i
\(218\) −9.60840 + 5.57426i −0.650763 + 0.377536i
\(219\) −4.62388 + 4.83158i −0.312453 + 0.326488i
\(220\) −6.34005 3.62512i −0.427446 0.244406i
\(221\) −0.681233 + 1.64464i −0.0458247 + 0.110631i
\(222\) −15.6998 3.80449i −1.05370 0.255341i
\(223\) 10.5047i 0.703449i −0.936104 0.351724i \(-0.885595\pi\)
0.936104 0.351724i \(-0.114405\pi\)
\(224\) −9.53884 12.1655i −0.637340 0.812841i
\(225\) −1.23419 + 1.34767i −0.0822795 + 0.0898450i
\(226\) 15.3250 + 11.7084i 1.01941 + 0.778833i
\(227\) −16.7869 6.95334i −1.11418 0.461509i −0.251806 0.967778i \(-0.581025\pi\)
−0.862376 + 0.506268i \(0.831025\pi\)
\(228\) 27.3806 + 2.87868i 1.81333 + 0.190646i
\(229\) 5.87646 + 14.1870i 0.388327 + 0.937505i 0.990295 + 0.138984i \(0.0443838\pi\)
−0.601967 + 0.798521i \(0.705616\pi\)
\(230\) 4.40435 + 7.59181i 0.290414 + 0.500589i
\(231\) 2.64414 6.80233i 0.173972 0.447560i
\(232\) 11.1266 + 10.9877i 0.730496 + 0.721379i
\(233\) −2.54073 + 2.54073i −0.166449 + 0.166449i −0.785416 0.618968i \(-0.787551\pi\)
0.618968 + 0.785416i \(0.287551\pi\)
\(234\) −1.03075 + 0.660121i −0.0673821 + 0.0431534i
\(235\) 1.40298 + 3.38711i 0.0915206 + 0.220950i
\(236\) −12.7614 + 9.87732i −0.830696 + 0.642959i
\(237\) 0.105013 + 4.78069i 0.00682132 + 0.310539i
\(238\) 3.16215 + 23.6365i 0.204972 + 1.53213i
\(239\) 17.6107i 1.13914i 0.821943 + 0.569570i \(0.192890\pi\)
−0.821943 + 0.569570i \(0.807110\pi\)
\(240\) 13.3147 + 9.58943i 0.859461 + 0.618995i
\(241\) 6.18628i 0.398493i 0.979949 + 0.199247i \(0.0638495\pi\)
−0.979949 + 0.199247i \(0.936151\pi\)
\(242\) 12.0867 1.61699i 0.776963 0.103944i
\(243\) −1.70837 15.4946i −0.109592 0.993977i
\(244\) 1.17246 9.20325i 0.0750589 0.589177i
\(245\) 0.424521 + 1.02489i 0.0271217 + 0.0654775i
\(246\) 0.402923 + 2.57941i 0.0256894 + 0.164457i
\(247\) −1.62134 + 1.62134i −0.103163 + 0.103163i
\(248\) −8.96116 3.64608i −0.569034 0.231526i
\(249\) 10.6786 + 4.15088i 0.676727 + 0.263051i
\(250\) 12.7209 7.37995i 0.804539 0.466749i
\(251\) −9.18840 22.1828i −0.579967 1.40016i −0.892842 0.450369i \(-0.851292\pi\)
0.312876 0.949794i \(1.60129\pi\)
\(252\) −7.50609 + 14.5781i −0.472839 + 0.918333i
\(253\) 3.73278 + 1.54617i 0.234678 + 0.0972067i
\(254\) 6.65729 8.71366i 0.417716 0.546744i
\(255\) −10.1975 23.1663i −0.638589 1.45073i
\(256\) 7.76687 13.9884i 0.485429 0.874276i
\(257\) 11.8836i 0.741276i −0.928777 0.370638i \(-0.879139\pi\)
0.928777 0.370638i \(-0.120861\pi\)
\(258\) −9.77465 2.36866i −0.608543 0.147466i
\(259\) 6.89706 16.6510i 0.428563 1.03464i
\(260\) −1.31850 + 0.359213i −0.0817698 + 0.0222774i
\(261\) 5.66821 15.5874i 0.350854 0.964838i
\(262\) −0.897051 1.54626i −0.0554200 0.0955280i
\(263\) 11.6191 11.6191i 0.716464 0.716464i −0.251415 0.967879i \(-0.580896\pi\)
0.967879 + 0.251415i \(0.0808959\pi\)
\(264\) 7.55043 0.213295i 0.464697 0.0131274i
\(265\) −22.4366 22.4366i −1.37827 1.37827i
\(266\) −7.88784 + 29.6862i −0.483635 + 1.82018i
\(267\) −7.01773 + 7.33296i −0.429478 + 0.448770i
\(268\) −2.75668 0.351190i −0.168391 0.0214524i
\(269\) −13.7480 5.69459i −0.838228 0.347205i −0.0780733 0.996948i \(-0.524877\pi\)
−0.760155 + 0.649742i \(0.774877\pi\)
\(270\) 3.35211 17.0780i 0.204003 1.03933i
\(271\) 7.07297 0.429652 0.214826 0.976652i \(-0.431081\pi\)
0.214826 + 0.976652i \(0.431081\pi\)
\(272\) −21.2705 + 12.5191i −1.28971 + 0.759084i
\(273\) −0.550173 1.24987i −0.0332980 0.0756455i
\(274\) −14.9566 + 2.00093i −0.903563 + 0.120881i
\(275\) −0.359414 + 0.867703i −0.0216735 + 0.0523245i
\(276\) −7.97737 4.33168i −0.480181 0.260736i
\(277\) −1.13397 + 0.469705i −0.0681335 + 0.0282218i −0.416490 0.909140i \(-0.636740\pi\)
0.348356 + 0.937362i \(0.386740\pi\)
\(278\) 0.391399 1.47305i 0.0234746 0.0883475i
\(279\) 0.450587 + 10.2515i 0.0269759 + 0.613740i
\(280\) −12.8632 + 13.0257i −0.768720 + 0.778436i
\(281\) 12.0212 + 12.0212i 0.717122 + 0.717122i 0.968015 0.250893i \(-0.0807241\pi\)
−0.250893 + 0.968015i \(0.580724\pi\)
\(282\) −3.06286 2.23525i −0.182390 0.133107i
\(283\) 12.8158 5.30848i 0.761821 0.315557i 0.0322666 0.999479i \(-0.489727\pi\)
0.729555 + 0.683923i \(0.239727\pi\)
\(284\) −21.4242 12.2500i −1.27129 0.726903i
\(285\) −0.715973 32.5945i −0.0424106 1.93073i
\(286\) −0.381912 + 0.499880i −0.0225829 + 0.0295585i
\(287\) −2.91268 −0.171930
\(288\) −16.9209 1.29714i −0.997075 0.0764344i
\(289\) 21.0727 1.23957
\(290\) 11.2420 14.7146i 0.660155 0.864069i
\(291\) 0.394277 + 17.9494i 0.0231129 + 1.05221i
\(292\) 3.83308 6.70374i 0.224314 0.392307i
\(293\) −24.7412 + 10.2481i −1.44539 + 0.598702i −0.961099 0.276203i \(-0.910924\pi\)
−0.484295 + 0.874905i \(0.660924\pi\)
\(294\) −0.926773 0.676352i −0.0540505 0.0394457i
\(295\) 13.5125 + 13.5125i 0.786729 + 0.786729i
\(296\) 18.6529 0.117129i 1.08418 0.00680801i
\(297\) −3.54660 7.18386i −0.205795 0.416850i
\(298\) 0.435531 1.63914i 0.0252296 0.0949529i
\(299\) 0.698461 0.289312i 0.0403930 0.0167313i
\(300\) 1.00692 1.85438i 0.0581346 0.107063i
\(301\) 4.29408 10.3668i 0.247506 0.597533i
\(302\) −19.4441 + 2.60129i −1.11888 + 0.149687i
\(303\) −7.98357 18.1369i −0.458644 1.04194i
\(304\) −31.4829 + 4.41326i −1.80567 + 0.253118i
\(305\) −10.9864 −0.629079
\(306\) 21.4798 + 14.9641i 1.22792 + 0.855442i
\(307\) −0.664375 0.275193i −0.0379179 0.0157061i 0.363644 0.931538i \(-0.381532\pi\)
−0.401562 + 0.915832i \(0.631532\pi\)
\(308\) −1.06498 + 8.35962i −0.0606830 + 0.476334i
\(309\) −17.7528 + 18.5502i −1.00992 + 1.05528i
\(310\) −2.94196 + 11.0722i −0.167092 + 0.628858i
\(311\) −3.60638 3.60638i −0.204499 0.204499i 0.597425 0.801924i \(-0.296190\pi\)
−0.801924 + 0.597425i \(0.796190\pi\)
\(312\) 0.970781 1.02722i 0.0549596 0.0581551i
\(313\) 23.2233 23.2233i 1.31266 1.31266i 0.393210 0.919449i \(-0.371365\pi\)
0.919449 0.393210i \(-0.128635\pi\)
\(314\) −6.36179 10.9659i −0.359017 0.618840i
\(315\) 18.2480 + 6.63569i 1.02816 + 0.373879i
\(316\) −1.45141 5.32742i −0.0816481 0.299691i
\(317\) −1.42053 + 3.42947i −0.0797850 + 0.192618i −0.958738 0.284289i \(-0.908242\pi\)
0.878954 + 0.476907i \(0.158242\pi\)
\(318\) 31.8939 + 7.72875i 1.78852 + 0.433407i
\(319\) 8.52434i 0.477271i
\(320\) −17.5943 7.03026i −0.983553 0.393004i
\(321\) −7.09666 16.1220i −0.396097 0.899843i
\(322\) 6.14846 8.04765i 0.342640 0.448478i
\(323\) 45.3067 + 18.7666i 2.52093 + 1.04420i
\(324\) 6.23697 + 16.8849i 0.346498 + 0.938051i
\(325\) 0.0672520 + 0.162361i 0.00373047 + 0.00900615i
\(326\) 3.67758 2.13353i 0.203682 0.118165i
\(327\) −12.6805 4.92905i −0.701233 0.272577i
\(328\) −1.17109 2.77779i −0.0646626 0.153378i
\(329\) 2.99133 2.99133i 0.164917 0.164917i
\(330\) −1.38048 8.83747i −0.0759929 0.486487i
\(331\) −3.25086 7.84826i −0.178683 0.431380i 0.809008 0.587798i \(-0.200005\pi\)
−0.987691 + 0.156419i \(0.950005\pi\)
\(332\) −13.1233 1.67185i −0.720233 0.0917549i
\(333\) −8.36666 17.9287i −0.458490 0.982487i
\(334\) −3.70366 + 0.495485i −0.202655 + 0.0271117i
\(335\) 3.29079i 0.179795i
\(336\) 4.34344 18.4287i 0.236954 1.00537i
\(337\) 24.2771i 1.32246i −0.750183 0.661230i \(-0.770035\pi\)
0.750183 0.661230i \(-0.229965\pi\)
\(338\) −2.42223 18.1058i −0.131752 0.984823i
\(339\) 0.518719 + 23.6146i 0.0281730 + 1.28257i
\(340\) 17.8892 + 23.1127i 0.970179 + 1.25346i
\(341\) 2.01819 + 4.87235i 0.109291 + 0.263853i
\(342\) 18.1850 + 28.3951i 0.983335 + 1.53543i
\(343\) −12.6217 + 12.6217i −0.681509 + 0.681509i
\(344\) 11.6132 0.0729242i 0.626143 0.00393181i
\(345\) −3.89455 + 10.0191i −0.209676 + 0.539413i
\(346\) −7.36796 12.7002i −0.396104 0.682768i
\(347\) 1.37907 + 3.32937i 0.0740325 + 0.178730i 0.956564 0.291524i \(-0.0941623\pi\)
−0.882531 + 0.470254i \(0.844162\pi\)
\(348\) −2.00251 + 19.0469i −0.107346 + 1.02102i
\(349\) 10.7378 + 4.44775i 0.574782 + 0.238083i 0.651089 0.759002i \(-0.274313\pi\)
−0.0763062 + 0.997084i \(0.524313\pi\)
\(350\) 1.87072 + 1.42924i 0.0999940 + 0.0763961i
\(351\) −1.41975 0.481249i −0.0757809 0.0256871i
\(352\) −8.40068 + 2.34545i −0.447758 + 0.125013i
\(353\) 5.62531i 0.299405i −0.988731 0.149703i \(-0.952168\pi\)
0.988731 0.149703i \(-0.0478316\pi\)
\(354\) −19.2082 4.65467i −1.02091 0.247393i
\(355\) −11.1838 + 27.0000i −0.593572 + 1.43301i
\(356\) 5.81752 10.1744i 0.308328 0.539240i
\(357\) −20.1937 + 21.1007i −1.06876 + 1.11677i
\(358\) 0.0170092 0.00986780i 0.000898964 0.000521529i
\(359\) 22.3781 22.3781i 1.18107 1.18107i 0.201603 0.979467i \(-0.435385\pi\)
0.979467 0.201603i \(-0.0646152\pi\)
\(360\) 1.00850 + 20.0709i 0.0531524 + 1.05783i
\(361\) 31.2298 + 31.2298i 1.64367 + 1.64367i
\(362\) 13.9830 + 3.71539i 0.734931 + 0.195276i
\(363\) 10.7900 + 10.3262i 0.566329 + 0.541984i
\(364\) 0.965159 + 1.24698i 0.0505881 + 0.0653593i
\(365\) −8.44842 3.49945i −0.442211 0.183170i
\(366\) 9.70091 5.91642i 0.507075 0.309256i
\(367\) −26.0135 −1.35789 −0.678946 0.734188i \(-0.737563\pi\)
−0.678946 + 0.734188i \(0.737563\pi\)
\(368\) 10.1470 + 2.62804i 0.528951 + 0.136996i
\(369\) −2.15946 + 2.35802i −0.112417 + 0.122754i
\(370\) −2.92901 21.8938i −0.152272 1.13821i
\(371\) −14.0113 + 33.8262i −0.727428 + 1.75617i
\(372\) −3.36489 11.3610i −0.174461 0.589039i
\(373\) −16.7694 + 6.94611i −0.868286 + 0.359656i −0.771942 0.635692i \(-0.780715\pi\)
−0.0963434 + 0.995348i \(0.530715\pi\)
\(374\) 13.0031 + 3.45502i 0.672375 + 0.178655i
\(375\) 16.7881 + 6.52573i 0.866936 + 0.336987i
\(376\) 4.05551 + 1.65009i 0.209147 + 0.0850968i
\(377\) −1.12786 1.12786i −0.0580878 0.0580878i
\(378\) −19.6863 + 3.96767i −1.01255 + 0.204075i
\(379\) 11.8673 4.91559i 0.609582 0.252497i −0.0564681 0.998404i \(-0.517984\pi\)
0.666050 + 0.745907i \(0.267984\pi\)
\(380\) 9.89563 + 36.3221i 0.507635 + 1.86328i
\(381\) 13.4270 0.294938i 0.687886 0.0151101i
\(382\) 8.74227 + 6.67916i 0.447294 + 0.341735i
\(383\) 5.25906 0.268725 0.134363 0.990932i \(-0.457101\pi\)
0.134363 + 0.990932i \(0.457101\pi\)
\(384\) 19.3216 3.26726i 0.986002 0.166732i
\(385\) 9.97932 0.508593
\(386\) 7.00702 + 5.35341i 0.356648 + 0.272482i
\(387\) −5.20904 11.1623i −0.264790 0.567412i
\(388\) −5.44940 20.0021i −0.276651 1.01545i
\(389\) 25.9373 10.7436i 1.31507 0.544721i 0.388712 0.921359i \(-0.372920\pi\)
0.926360 + 0.376639i \(0.122920\pi\)
\(390\) −1.35194 0.986639i −0.0684583 0.0499604i
\(391\) −11.4333 11.4333i −0.578204 0.578204i
\(392\) 1.22713 + 0.499291i 0.0619796 + 0.0252180i
\(393\) 0.793219 2.04064i 0.0400126 0.102937i
\(394\) 10.2193 + 2.71534i 0.514841 + 0.136797i
\(395\) −6.04085 + 2.50220i −0.303948 + 0.125899i
\(396\) 5.97813 + 7.06001i 0.300412 + 0.354779i
\(397\) −14.4580 + 34.9046i −0.725624 + 1.75181i −0.0689699 + 0.997619i \(0.521971\pi\)
−0.656654 + 0.754192i \(0.728029\pi\)
\(398\) −3.30223 24.6836i −0.165526 1.23728i
\(399\) −34.4315 + 15.1562i −1.72373 + 0.758759i
\(400\) −0.610901 + 2.35873i −0.0305450 + 0.117937i
\(401\) −31.7191 −1.58397 −0.791987 0.610537i \(-0.790954\pi\)
−0.791987 + 0.610537i \(0.790954\pi\)
\(402\) −1.77217 2.90575i −0.0883876 0.144926i
\(403\) 0.911693 + 0.377635i 0.0454146 + 0.0188114i
\(404\) 14.0054 + 18.0949i 0.696797 + 0.900255i
\(405\) 18.9011 9.85333i 0.939204 0.489616i
\(406\) −20.6508 5.48706i −1.02488 0.272318i
\(407\) −7.19010 7.19010i −0.356400 0.356400i
\(408\) −28.2427 10.7746i −1.39822 0.533423i
\(409\) −17.8308 + 17.8308i −0.881677 + 0.881677i −0.993705 0.112028i \(-0.964265\pi\)
0.112028 + 0.993705i \(0.464265\pi\)
\(410\) −3.08779 + 1.79136i −0.152495 + 0.0884690i
\(411\) −13.3521 12.7781i −0.658608 0.630296i
\(412\) 14.7166 25.7381i 0.725035 1.26803i
\(413\) 8.43832 20.3719i 0.415223 1.00244i
\(414\) −1.95667 10.9441i −0.0961652 0.537875i
\(415\) 15.6659i 0.769011i
\(416\) −0.801171 + 1.42183i −0.0392806 + 0.0697109i
\(417\) 1.70851 0.752059i 0.0836660 0.0368285i
\(418\) 13.7707 + 10.5209i 0.673548 + 0.514596i
\(419\) 2.10652 + 0.872548i 0.102910 + 0.0426268i 0.433544 0.901132i \(-0.357263\pi\)
−0.330634 + 0.943759i \(0.607263\pi\)
\(420\) −22.2980 2.34431i −1.08803 0.114391i
\(421\) −0.169965 0.410331i −0.00828357 0.0199983i 0.919684 0.392660i \(-0.128445\pi\)
−0.927967 + 0.372662i \(0.878445\pi\)
\(422\) 0.897576 + 1.54716i 0.0436933 + 0.0753145i
\(423\) −0.203920 4.63946i −0.00991492 0.225578i
\(424\) −37.8931 + 0.237946i −1.84025 + 0.0115557i
\(425\) 2.65772 2.65772i 0.128918 0.128918i
\(426\) −4.66490 29.8635i −0.226015 1.44689i
\(427\) 4.85132 + 11.7121i 0.234772 + 0.566790i
\(428\) 12.4496 + 16.0847i 0.601772 + 0.777484i
\(429\) −0.770272 + 0.0169198i −0.0371891 + 0.000816898i
\(430\) −1.82359 13.6310i −0.0879412 0.657345i
\(431\) 2.95351i 0.142266i 0.997467 + 0.0711329i \(0.0226614\pi\)
−0.997467 + 0.0711329i \(0.977339\pi\)
\(432\) −11.6991 17.1794i −0.562874 0.826543i
\(433\) 31.3472i 1.50645i −0.657764 0.753224i \(-0.728497\pi\)
0.657764 0.753224i \(-0.271503\pi\)
\(434\) 13.1027 1.75291i 0.628950 0.0841424i
\(435\) 22.6739 0.498056i 1.08713 0.0238800i
\(436\) 15.5835 + 1.98528i 0.746315 + 0.0950776i
\(437\) −7.96999 19.2413i −0.381256 0.920434i
\(438\) 9.34443 1.45967i 0.446494 0.0697458i
\(439\) −7.44392 + 7.44392i −0.355279 + 0.355279i −0.862069 0.506791i \(-0.830832\pi\)
0.506791 + 0.862069i \(0.330832\pi\)
\(440\) 4.01234 + 9.51717i 0.191281 + 0.453713i
\(441\) −0.0617029 1.40383i −0.00293824 0.0668489i
\(442\) 2.17759 1.26331i 0.103577 0.0600897i
\(443\) −3.50021 8.45026i −0.166300 0.401484i 0.818657 0.574283i \(-0.194719\pi\)
−0.984957 + 0.172799i \(0.944719\pi\)
\(444\) 14.3766 + 17.7548i 0.682284 + 0.842604i
\(445\) −12.8223 5.31117i −0.607835 0.251773i
\(446\) −9.01903 + 11.8049i −0.427064 + 0.558979i
\(447\) 1.90115 0.836857i 0.0899213 0.0395820i
\(448\) 0.274559 + 21.8610i 0.0129717 + 1.03283i
\(449\) 24.0900i 1.13688i 0.822725 + 0.568439i \(0.192453\pi\)
−0.822725 + 0.568439i \(0.807547\pi\)
\(450\) 2.54402 0.454838i 0.119926 0.0214413i
\(451\) −0.628866 + 1.51822i −0.0296121 + 0.0714901i
\(452\) −7.16934 26.3152i −0.337217 1.23776i
\(453\) −17.3581 16.6120i −0.815557 0.780498i
\(454\) 12.8947 + 22.2266i 0.605176 + 1.04315i
\(455\) 1.32037 1.32037i 0.0618999 0.0618999i
\(456\) −28.2980 26.7431i −1.32518 1.25236i
\(457\) −13.8807 13.8807i −0.649311 0.649311i 0.303515 0.952827i \(-0.401840\pi\)
−0.952827 + 0.303515i \(0.901840\pi\)
\(458\) 5.57674 20.9883i 0.260584 0.980719i
\(459\) 2.11095 + 31.9923i 0.0985308 + 1.49327i
\(460\) 1.56861 12.3129i 0.0731370 0.574091i
\(461\) 26.4361 + 10.9502i 1.23125 + 0.510001i 0.900970 0.433881i \(-0.142856\pi\)
0.330282 + 0.943882i \(0.392856\pi\)
\(462\) −8.81167 + 5.37408i −0.409956 + 0.250025i
\(463\) 35.7558 1.66171 0.830857 0.556485i \(-0.187850\pi\)
0.830857 + 0.556485i \(0.187850\pi\)
\(464\) −3.07002 21.9006i −0.142522 1.01671i
\(465\) −12.8420 + 5.65287i −0.595535 + 0.262145i
\(466\) 5.03658 0.673807i 0.233315 0.0312135i
\(467\) −1.84875 + 4.46327i −0.0855498 + 0.206536i −0.960865 0.277018i \(-0.910654\pi\)
0.875315 + 0.483553i \(0.160654\pi\)
\(468\) 1.72508 + 0.143144i 0.0797420 + 0.00661684i
\(469\) 3.50818 1.45313i 0.161993 0.0670995i
\(470\) 1.33143 5.01089i 0.0614142 0.231135i
\(471\) 5.62542 14.4720i 0.259206 0.666834i
\(472\) 22.8212 0.143304i 1.05043 0.00659610i
\(473\) −4.47652 4.47652i −0.205831 0.205831i
\(474\) 3.98654 5.46256i 0.183108 0.250904i
\(475\) 4.47273 1.85266i 0.205223 0.0850060i
\(476\) 16.7400 29.2769i 0.767278 1.34191i
\(477\) 16.9967 + 36.4218i 0.778226 + 1.66764i
\(478\) 15.1200 19.7904i 0.691572 0.905190i
\(479\) −15.8988 −0.726433 −0.363216 0.931705i \(-0.618321\pi\)
−0.363216 + 0.931705i \(0.618321\pi\)
\(480\) −6.72950 22.2079i −0.307158 1.01365i
\(481\) −1.90265 −0.0867535
\(482\) 5.31134 6.95196i 0.241925 0.316653i
\(483\) 12.4007 0.272395i 0.564253 0.0123944i
\(484\) −14.9710 8.56013i −0.680499 0.389097i
\(485\) −22.6807 + 9.39466i −1.02988 + 0.426590i
\(486\) −11.3833 + 18.8791i −0.516358 + 0.856373i
\(487\) −10.4283 10.4283i −0.472552 0.472552i 0.430187 0.902740i \(-0.358448\pi\)
−0.902740 + 0.430187i \(0.858448\pi\)
\(488\) −9.21919 + 9.33570i −0.417333 + 0.422607i
\(489\) 4.85341 + 1.88657i 0.219479 + 0.0853138i
\(490\) 0.402869 1.51622i 0.0181998 0.0684957i
\(491\) −0.306137 + 0.126806i −0.0138158 + 0.00572268i −0.389581 0.920992i \(-0.627380\pi\)
0.375765 + 0.926715i \(0.377380\pi\)
\(492\) 1.76181 3.24460i 0.0794283 0.146278i
\(493\) −13.0547 + 31.5169i −0.587956 + 1.41945i
\(494\) 3.21404 0.429983i 0.144607 0.0193458i
\(495\) 7.39867 8.07896i 0.332545 0.363122i
\(496\) 6.93988 + 11.7911i 0.311610 + 0.529437i
\(497\) 33.7220 1.51264
\(498\) −8.43645 13.8329i −0.378047 0.619868i
\(499\) 5.62549 + 2.33015i 0.251831 + 0.104312i 0.505028 0.863103i \(-0.331482\pi\)
−0.253197 + 0.967415i \(0.581482\pi\)
\(500\) −20.6315 2.62838i −0.922671 0.117545i
\(501\) −3.30633 3.16419i −0.147716 0.141366i
\(502\) −8.71976 + 32.8172i −0.389182 + 1.46470i
\(503\) 10.6198 + 10.6198i 0.473513 + 0.473513i 0.903050 0.429536i \(-0.141323\pi\)
−0.429536 + 0.903050i \(0.641323\pi\)
\(504\) 20.9514 9.93794i 0.933250 0.442671i
\(505\) 19.1599 19.1599i 0.852605 0.852605i
\(506\) −2.86730 4.94238i −0.127467 0.219716i
\(507\) 15.4685 16.1633i 0.686981 0.717839i
\(508\) −14.9625 + 4.07641i −0.663855 + 0.180861i
\(509\) 2.01172 4.85673i 0.0891681 0.215271i −0.873004 0.487713i \(-0.837831\pi\)
0.962172 + 0.272442i \(0.0878313\pi\)
\(510\) −8.43026 + 34.7888i −0.373298 + 1.54047i
\(511\) 10.5518i 0.466783i
\(512\) −20.7382 + 9.05139i −0.916507 + 0.400019i
\(513\) −13.2575 + 39.1115i −0.585332 + 1.72681i
\(514\) −10.2028 + 13.3544i −0.450028 + 0.589037i
\(515\) −32.4366 13.4357i −1.42933 0.592046i
\(516\) 8.95080 + 11.0540i 0.394037 + 0.486626i
\(517\) −0.913364 2.20506i −0.0401697 0.0969783i
\(518\) −22.0467 + 12.7903i −0.968677 + 0.561973i
\(519\) 6.51513 16.7609i 0.285983 0.735721i
\(520\) 1.79010 + 0.728348i 0.0785010 + 0.0319402i
\(521\) 19.9974 19.9974i 0.876102 0.876102i −0.117027 0.993129i \(-0.537336\pi\)
0.993129 + 0.117027i \(0.0373363\pi\)
\(522\) −19.7527 + 12.6502i −0.864550 + 0.553682i
\(523\) −15.2948 36.9248i −0.668793 1.61461i −0.783632 0.621225i \(-0.786635\pi\)
0.114839 0.993384i \(-0.463365\pi\)
\(524\) −0.319486 + 2.50782i −0.0139568 + 0.109554i
\(525\) 0.0633197 + 2.88261i 0.00276350 + 0.125808i
\(526\) −23.0330 + 3.08141i −1.00429 + 0.134356i
\(527\) 21.1053i 0.919360i
\(528\) −8.66808 6.24286i −0.377230 0.271686i
\(529\) 16.1332i 0.701443i
\(530\) 5.95023 + 44.4769i 0.258462 + 1.93195i
\(531\) −10.2363 21.9352i −0.444219 0.951905i
\(532\) 34.3518 26.5883i 1.48934 1.15275i
\(533\) 0.117671 + 0.284082i 0.00509688 + 0.0123050i
\(534\) 14.1822 2.21536i 0.613723 0.0958681i
\(535\) 17.0314 17.0314i 0.736332 0.736332i
\(536\) 2.79636 + 2.76146i 0.120784 + 0.119277i
\(537\) 0.0224476 + 0.00872561i 0.000968684 + 0.000376538i
\(538\) 10.5604 + 18.2030i 0.455289 + 0.784786i
\(539\) −0.276370 0.667216i −0.0119041 0.0287390i
\(540\) −18.4296 + 16.3137i −0.793084 + 0.702030i
\(541\) −35.6786 14.7786i −1.53394 0.635380i −0.553618 0.832771i \(-0.686753\pi\)
−0.980325 + 0.197391i \(0.936753\pi\)
\(542\) −7.94840 6.07263i −0.341413 0.260842i
\(543\) 7.13898 + 16.2181i 0.306363 + 0.695987i
\(544\) 34.6517 + 4.19354i 1.48568 + 0.179797i
\(545\) 18.6029i 0.796859i
\(546\) −0.454829 + 1.87693i −0.0194649 + 0.0803250i
\(547\) 12.4112 29.9634i 0.530666 1.28114i −0.400416 0.916333i \(-0.631135\pi\)
0.931083 0.364808i \(-0.118865\pi\)
\(548\) 18.5258 + 10.5927i 0.791381 + 0.452498i
\(549\) 13.0786 + 4.75589i 0.558180 + 0.202976i
\(550\) 1.14888 0.666517i 0.0489885 0.0284204i
\(551\) −31.0704 + 31.0704i −1.32364 + 1.32364i
\(552\) 5.24569 + 11.7169i 0.223271 + 0.498706i
\(553\) 5.33499 + 5.33499i 0.226867 + 0.226867i
\(554\) 1.67759 + 0.445748i 0.0712741 + 0.0189380i
\(555\) 18.7048 19.5450i 0.793976 0.829640i
\(556\) −1.70455 + 1.31932i −0.0722892 + 0.0559518i
\(557\) 9.30090 + 3.85256i 0.394092 + 0.163238i 0.570924 0.821003i \(-0.306585\pi\)
−0.176832 + 0.984241i \(0.556585\pi\)
\(558\) 8.29524 11.9072i 0.351165 0.504070i
\(559\) −1.18458 −0.0501025
\(560\) 25.6387 3.59402i 1.08343 0.151875i
\(561\) 6.63869 + 15.0816i 0.280286 + 0.636746i
\(562\) −3.18804 23.8300i −0.134479 1.00521i
\(563\) 1.24166 2.99763i 0.0523297 0.126335i −0.895553 0.444955i \(-0.853220\pi\)
0.947882 + 0.318620i \(0.103220\pi\)
\(564\) 1.52283 + 5.14158i 0.0641228 + 0.216500i
\(565\) −29.8392 + 12.3598i −1.25535 + 0.519981i
\(566\) −18.9597 5.03773i −0.796937 0.211752i
\(567\) −18.8505 15.7987i −0.791646 0.663483i
\(568\) 13.5585 + 32.1603i 0.568900 + 1.34942i
\(569\) 28.3250 + 28.3250i 1.18745 + 1.18745i 0.977771 + 0.209674i \(0.0672404\pi\)
0.209674 + 0.977771i \(0.432760\pi\)
\(570\) −27.1800 + 37.2434i −1.13845 + 1.55996i
\(571\) −37.5476 + 15.5527i −1.57132 + 0.650862i −0.987008 0.160669i \(-0.948635\pi\)
−0.584310 + 0.811530i \(0.698635\pi\)
\(572\) 0.858362 0.233853i 0.0358899 0.00977789i
\(573\) 0.295907 + 13.4711i 0.0123617 + 0.562763i
\(574\) 3.27319 + 2.50074i 0.136620 + 0.104379i
\(575\) −1.59623 −0.0665673
\(576\) 17.9015 + 15.9854i 0.745898 + 0.666060i
\(577\) 5.37886 0.223925 0.111962 0.993712i \(-0.464286\pi\)
0.111962 + 0.993712i \(0.464286\pi\)
\(578\) −23.6809 18.0924i −0.984995 0.752543i
\(579\) 0.237172 + 10.7972i 0.00985655 + 0.448717i
\(580\) −25.2669 + 6.88375i −1.04915 + 0.285832i
\(581\) 16.7008 6.91770i 0.692866 0.286994i
\(582\) 14.9677 20.5095i 0.620431 0.850146i
\(583\) 14.6066 + 14.6066i 0.604942 + 0.604942i
\(584\) −10.0631 + 4.24251i −0.416415 + 0.175556i
\(585\) −0.0900101 2.04785i −0.00372146 0.0846684i
\(586\) 36.6021 + 9.72544i 1.51202 + 0.401754i
\(587\) 1.77252 0.734203i 0.0731599 0.0303038i −0.345803 0.938307i \(-0.612394\pi\)
0.418963 + 0.908003i \(0.362394\pi\)
\(588\) 0.460785 + 1.55576i 0.0190025 + 0.0641586i
\(589\) 10.4031 25.1154i 0.428653 1.03486i
\(590\) −3.58355 26.7864i −0.147532 1.10278i
\(591\) 5.21743 + 11.8528i 0.214616 + 0.487560i
\(592\) −21.0622 15.8832i −0.865651 0.652795i
\(593\) 24.1664 0.992394 0.496197 0.868210i \(-0.334729\pi\)
0.496197 + 0.868210i \(0.334729\pi\)
\(594\) −2.18227 + 11.1180i −0.0895397 + 0.456178i
\(595\) −36.8964 15.2830i −1.51260 0.626541i
\(596\) −1.89675 + 1.46808i −0.0776940 + 0.0601351i
\(597\) 21.0882 22.0355i 0.863084 0.901853i
\(598\) −1.03330 0.274556i −0.0422549 0.0112274i
\(599\) −11.6692 11.6692i −0.476789 0.476789i 0.427314 0.904103i \(-0.359460\pi\)
−0.904103 + 0.427314i \(0.859460\pi\)
\(600\) −2.72366 + 1.21939i −0.111193 + 0.0497812i
\(601\) −8.80143 + 8.80143i −0.359018 + 0.359018i −0.863451 0.504433i \(-0.831702\pi\)
0.504433 + 0.863451i \(0.331702\pi\)
\(602\) −13.7262 + 7.96316i −0.559437 + 0.324554i
\(603\) 1.42455 3.91747i 0.0580121 0.159532i
\(604\) 24.0841 + 13.7709i 0.979970 + 0.560329i
\(605\) −7.81507 + 18.8672i −0.317728 + 0.767062i
\(606\) −6.60004 + 27.2361i −0.268108 + 1.10639i
\(607\) 31.9215i 1.29565i −0.761788 0.647826i \(-0.775678\pi\)
0.761788 0.647826i \(-0.224322\pi\)
\(608\) 39.1686 + 22.0707i 1.58850 + 0.895086i
\(609\) −10.5432 23.9517i −0.427231 0.970573i
\(610\) 12.3462 + 9.43257i 0.499882 + 0.381914i
\(611\) −0.412600 0.170905i −0.0166920 0.00691406i
\(612\) −11.2907 35.2582i −0.456399 1.42523i
\(613\) 7.35458 + 17.7555i 0.297049 + 0.717139i 0.999983 + 0.00588391i \(0.00187292\pi\)
−0.702934 + 0.711255i \(0.748127\pi\)
\(614\) 0.510333 + 0.879665i 0.0205954 + 0.0355004i
\(615\) −4.07504 1.58401i −0.164322 0.0638736i
\(616\) 8.37411 8.47994i 0.337402 0.341667i
\(617\) −13.5933 + 13.5933i −0.547246 + 0.547246i −0.925643 0.378397i \(-0.876475\pi\)
0.378397 + 0.925643i \(0.376475\pi\)
\(618\) 35.8767 5.60421i 1.44317 0.225434i
\(619\) −3.75210 9.05838i −0.150810 0.364087i 0.830362 0.557224i \(-0.188134\pi\)
−0.981172 + 0.193137i \(0.938134\pi\)
\(620\) 12.8123 9.91673i 0.514555 0.398265i
\(621\) 8.97338 10.2412i 0.360089 0.410966i
\(622\) 0.956420 + 7.14907i 0.0383489 + 0.286651i
\(623\) 16.0146i 0.641611i
\(624\) −1.97288 + 0.320881i −0.0789782 + 0.0128455i
\(625\) 27.6746i 1.10699i
\(626\) −46.0365 + 6.15887i −1.83999 + 0.246158i
\(627\) 0.466109 + 21.2195i 0.0186146 + 0.847425i
\(628\) −2.26576 + 17.7852i −0.0904136 + 0.709705i
\(629\) 15.5725 + 37.5953i 0.620915 + 1.49902i
\(630\) −14.8094 23.1241i −0.590019 0.921288i
\(631\) 5.39207 5.39207i 0.214655 0.214655i −0.591587 0.806242i \(-0.701498\pi\)
0.806242 + 0.591587i \(0.201498\pi\)
\(632\) −2.94291 + 7.23293i −0.117063 + 0.287711i
\(633\) −0.793682 + 2.04183i −0.0315460 + 0.0811556i
\(634\) 4.54078 2.63431i 0.180337 0.104622i
\(635\) 7.02766 + 16.9663i 0.278884 + 0.673286i
\(636\) −29.2058 36.0685i −1.15809 1.43021i
\(637\) −0.124846 0.0517131i −0.00494659 0.00204895i
\(638\) −7.31873 + 9.57940i −0.289751 + 0.379252i
\(639\) 25.0015 27.3003i 0.989044 1.07999i
\(640\) 13.7360 + 23.0063i 0.542964 + 0.909405i
\(641\) 1.82203i 0.0719659i −0.999352 0.0359830i \(-0.988544\pi\)
0.999352 0.0359830i \(-0.0114562\pi\)
\(642\) −5.86683 + 24.2104i −0.231545 + 0.955509i
\(643\) −10.4095 + 25.1308i −0.410511 + 0.991062i 0.574489 + 0.818512i \(0.305201\pi\)
−0.985001 + 0.172550i \(0.944799\pi\)
\(644\) −13.8189 + 3.76484i −0.544542 + 0.148355i
\(645\) 11.6455 12.1686i 0.458542 0.479140i
\(646\) −34.8019 59.9883i −1.36926 2.36021i
\(647\) −27.3258 + 27.3258i −1.07429 + 1.07429i −0.0772785 + 0.997010i \(0.524623\pi\)
−0.997010 + 0.0772785i \(0.975377\pi\)
\(648\) 7.48792 24.3296i 0.294153 0.955758i
\(649\) −8.79684 8.79684i −0.345306 0.345306i
\(650\) 0.0638219 0.240197i 0.00250330 0.00942129i
\(651\) 11.6970 + 11.1942i 0.458442 + 0.438735i
\(652\) −5.96453 0.759858i −0.233589 0.0297583i
\(653\) −21.5061 8.90811i −0.841598 0.348601i −0.0801145 0.996786i \(-0.525529\pi\)
−0.761483 + 0.648184i \(0.775529\pi\)
\(654\) 10.0180 + 16.4262i 0.391737 + 0.642315i
\(655\) 2.99371 0.116974
\(656\) −1.06889 + 4.12706i −0.0417332 + 0.161135i
\(657\) 8.54241 + 7.82309i 0.333271 + 0.305208i
\(658\) −5.92982 + 0.793306i −0.231169 + 0.0309263i
\(659\) 17.2778 41.7123i 0.673048 1.62488i −0.103355 0.994644i \(-0.532958\pi\)
0.776403 0.630237i \(-0.217042\pi\)
\(660\) −6.03623 + 11.1165i −0.234960 + 0.432710i
\(661\) 44.7407 18.5322i 1.74021 0.720819i 0.741453 0.671005i \(-0.234137\pi\)
0.998759 0.0498140i \(-0.0158629\pi\)
\(662\) −3.08505 + 11.6107i −0.119904 + 0.451264i
\(663\) 2.87383 + 1.11709i 0.111610 + 0.0433841i
\(664\) 13.3122 + 13.1460i 0.516612 + 0.510164i
\(665\) −36.3736 36.3736i −1.41051 1.41051i
\(666\) −5.99081 + 27.3311i −0.232139 + 1.05906i
\(667\) 13.3849 5.54420i 0.518265 0.214672i
\(668\) 4.58747 + 2.62303i 0.177495 + 0.101488i
\(669\) −18.1903 + 0.399570i −0.703279 + 0.0154483i
\(670\) 2.82537 3.69810i 0.109154 0.142870i
\(671\) 7.15231 0.276112
\(672\) −20.7033 + 16.9805i −0.798649 + 0.655037i
\(673\) −10.8139 −0.416844 −0.208422 0.978039i \(-0.566833\pi\)
−0.208422 + 0.978039i \(0.566833\pi\)
\(674\) −20.8436 + 27.2819i −0.802865 + 1.05086i
\(675\) 2.38062 + 2.08591i 0.0916302 + 0.0802866i
\(676\) −12.8230 + 22.4264i −0.493192 + 0.862553i
\(677\) 16.7436 6.93541i 0.643507 0.266549i −0.0369727 0.999316i \(-0.511771\pi\)
0.680480 + 0.732767i \(0.261771\pi\)
\(678\) 19.6918 26.9827i 0.756259 1.03626i
\(679\) 20.0305 + 20.0305i 0.768701 + 0.768701i
\(680\) −0.259543 41.3325i −0.00995304 1.58503i
\(681\) −11.4021 + 29.3332i −0.436930 + 1.12405i
\(682\) 1.91526 7.20816i 0.0733391 0.276015i
\(683\) −43.5660 + 18.0456i −1.66701 + 0.690497i −0.998580 0.0532798i \(-0.983032\pi\)
−0.668428 + 0.743777i \(0.733032\pi\)
\(684\) 3.94334 47.5227i 0.150778 1.81708i
\(685\) 9.67071 23.3472i 0.369499 0.892049i
\(686\) 25.0205 3.34731i 0.955288 0.127801i
\(687\) 24.3432 10.7155i 0.928751 0.408822i
\(688\) −13.1132 9.88880i −0.499936 0.377007i
\(689\) 3.86521 0.147253
\(690\) 12.9787 7.91549i 0.494091 0.301337i
\(691\) −5.29763 2.19435i −0.201531 0.0834771i 0.279635 0.960106i \(-0.409787\pi\)
−0.481166 + 0.876629i \(0.659787\pi\)
\(692\) −2.62411 + 20.5980i −0.0997536 + 0.783020i
\(693\) −11.8797 4.31994i −0.451273 0.164101i
\(694\) 1.30873 4.92548i 0.0496789 0.186969i
\(695\) 1.80488 + 1.80488i 0.0684630 + 0.0684630i
\(696\) 18.6035 19.6851i 0.705163 0.746162i
\(697\) 4.65020 4.65020i 0.176139 0.176139i
\(698\) −8.24815 14.2174i −0.312197 0.538137i
\(699\) 4.49625 + 4.30297i 0.170064 + 0.162753i
\(700\) −0.875156 3.21228i −0.0330778 0.121413i
\(701\) 13.7184 33.1190i 0.518135 1.25089i −0.420912 0.907101i \(-0.638290\pi\)
0.939047 0.343787i \(-0.111710\pi\)
\(702\) 1.18229 + 1.75977i 0.0446228 + 0.0664182i
\(703\) 52.4144i 1.97685i
\(704\) 11.4542 + 4.57681i 0.431695 + 0.172495i
\(705\) 5.81186 2.55829i 0.218887 0.0963508i
\(706\) −4.82971 + 6.32156i −0.181769 + 0.237915i
\(707\) −28.8861 11.9650i −1.08638 0.449991i
\(708\) 17.5893 + 21.7224i 0.661046 + 0.816376i
\(709\) −1.39804 3.37516i −0.0525044 0.126757i 0.895451 0.445160i \(-0.146853\pi\)
−0.947955 + 0.318403i \(0.896853\pi\)
\(710\) 35.7493 20.7398i 1.34165 0.778349i
\(711\) 8.27440 0.363688i 0.310314 0.0136394i
\(712\) −15.2729 + 6.43891i −0.572378 + 0.241309i
\(713\) −6.33792 + 6.33792i −0.237357 + 0.237357i
\(714\) 40.8095 6.37475i 1.52726 0.238569i
\(715\) −0.403158 0.973311i −0.0150773 0.0363998i
\(716\) −0.0275866 0.00351443i −0.00103096 0.000131340i
\(717\) 30.4952 0.669861i 1.13887 0.0250164i
\(718\) −44.3610 + 5.93472i −1.65554 + 0.221482i
\(719\) 25.3851i 0.946706i −0.880873 0.473353i \(-0.843044\pi\)
0.880873 0.473353i \(-0.156956\pi\)
\(720\) 16.0989 23.4209i 0.599971 0.872847i
\(721\) 40.5121i 1.50875i
\(722\) −8.28220 61.9080i −0.308232 2.30398i
\(723\) 10.7124 0.235309i 0.398397 0.00875122i
\(724\) −12.5238 16.1806i −0.465443 0.601348i
\(725\) 1.28878 + 3.11138i 0.0478640 + 0.115554i
\(726\) −3.25978 20.8682i −0.120982 0.774493i
\(727\) −32.5294 + 32.5294i −1.20645 + 1.20645i −0.234280 + 0.972169i \(0.575273\pi\)
−0.972169 + 0.234280i \(0.924727\pi\)
\(728\) −0.0140029 2.22997i −0.000518982 0.0826482i
\(729\) −26.7659 + 3.54764i −0.991330 + 0.131394i
\(730\) 6.48957 + 11.1861i 0.240190 + 0.414017i
\(731\) 9.69534 + 23.4066i 0.358595 + 0.865725i
\(732\) −15.9812 1.68020i −0.590684 0.0621020i
\(733\) 26.3419 + 10.9112i 0.972961 + 0.403014i 0.811814 0.583917i \(-0.198481\pi\)
0.161147 + 0.986930i \(0.448481\pi\)
\(734\) 29.2332 + 22.3343i 1.07902 + 0.824376i
\(735\) 1.75858 0.774099i 0.0648661 0.0285531i
\(736\) −9.14660 11.6652i −0.337148 0.429987i
\(737\) 2.14236i 0.0789147i
\(738\) 4.45126 0.795828i 0.163853 0.0292949i
\(739\) 13.4201 32.3991i 0.493668 1.19182i −0.459172 0.888347i \(-0.651854\pi\)
0.952840 0.303473i \(-0.0981461\pi\)
\(740\) −15.5058 + 27.1184i −0.570005 + 0.996893i
\(741\) 2.86924 + 2.74589i 0.105404 + 0.100873i
\(742\) 44.7875 25.9832i 1.64420 0.953874i
\(743\) −5.42669 + 5.42669i −0.199086 + 0.199086i −0.799608 0.600522i \(-0.794959\pi\)
0.600522 + 0.799608i \(0.294959\pi\)
\(744\) −5.97281 + 15.6561i −0.218974 + 0.573981i
\(745\) 2.00839 + 2.00839i 0.0735817 + 0.0735817i
\(746\) 24.8087 + 6.59183i 0.908309 + 0.241344i
\(747\) 6.78161 18.6493i 0.248126 0.682341i
\(748\) −11.6461 15.0467i −0.425825 0.550162i
\(749\) −25.6771 10.6358i −0.938222 0.388624i
\(750\) −13.2632 21.7472i −0.484305 0.794095i
\(751\) 3.67683 0.134170 0.0670848 0.997747i \(-0.478630\pi\)
0.0670848 + 0.997747i \(0.478630\pi\)
\(752\) −3.14075 5.33625i −0.114531 0.194593i
\(753\) −38.0629 + 16.7547i −1.38709 + 0.610576i
\(754\) 0.299111 + 2.23580i 0.0108930 + 0.0814231i
\(755\) 12.5723 30.3521i 0.457552 1.10463i
\(756\) 25.5294 + 12.4433i 0.928496 + 0.452558i
\(757\) −13.0816 + 5.41857i −0.475458 + 0.196941i −0.607526 0.794299i \(-0.707838\pi\)
0.132068 + 0.991241i \(0.457838\pi\)
\(758\) −17.5565 4.66488i −0.637680 0.169436i
\(759\) 2.53541 6.52262i 0.0920296 0.236756i
\(760\) 20.0646 49.3138i 0.727819 1.78880i