Properties

Label 96.2.o.a.11.2
Level 96
Weight 2
Character 96.11
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 11.2
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.2

$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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 0.813884 0.581027i \(-0.197349\pi\)
0.164655 + 0.986351i \(0.447349\pi\)
\(6\) −1.44398 1.97862i −0.589503 0.807767i
\(7\) −1.93241 + 1.93241i −0.730381 + 0.730381i −0.970695 0.240314i \(-0.922750\pi\)
0.240314 + 0.970695i \(0.422750\pi\)
\(8\) 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 0.157454 0.987526i \(-0.449671\pi\)
−0.586949 + 0.809624i \(0.699671\pi\)
\(12\) 3.32148 + 0.983754i 0.958829 + 0.283985i
\(13\) −0.110405 0.266541i −0.0306208 0.0739252i 0.907829 0.419340i \(-0.137738\pi\)
−0.938450 + 0.345414i \(0.887738\pi\)
\(14\) 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 0.685004 0.728540i \(-0.259801\pi\)
0.999526 + 0.0307845i \(0.00980057\pi\)
\(20\) 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 −0.873389 0.487023i \(-0.838083\pi\)
0.487023 + 0.873389i \(0.338083\pi\)
\(24\) −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 −0.989309 0.145834i \(-0.953413\pi\)
0.596427 0.802667i \(1.70341\pi\)
\(30\) −1.36626 5.63810i −0.249444 1.02937i
\(31\) 3.42046i 0.614332i 0.951656 + 0.307166i \(0.0993807\pi\)
−0.951656 + 0.307166i \(0.900619\pi\)
\(32\) 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 −0.568895 0.822410i \(-0.692629\pi\)
0.983801 0.179262i \(-0.0573709\pi\)
\(38\) −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 0.763503 0.645804i \(-0.223478\pi\)
−0.645804 + 0.763503i \(0.723478\pi\)
\(42\) 6.61385 + 1.03313i 1.02054 + 0.159416i
\(43\) 1.57129 3.79343i 0.239619 0.578492i −0.757624 0.652691i \(-0.773640\pi\)
0.997243 + 0.0741989i \(0.0236400\pi\)
\(44\) −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 \(-0.963987\pi\)
0.993607 0.112898i \(-0.0360133\pi\)
\(48\) 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 0.00964932 + 0.999953i \(0.496928\pi\)
−0.713897 + 0.700251i \(0.753072\pi\)
\(54\) 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 −0.585191 0.810895i \(-0.698981\pi\)
0.987182 0.159597i \(-0.0510195\pi\)
\(60\) 6.37606 + 5.16290i 0.823146 + 0.666528i
\(61\) −4.28571 + 1.77520i −0.548728 + 0.227291i −0.639784 0.768555i \(-0.720976\pi\)
0.0910552 + 0.995846i \(0.470976\pi\)
\(62\) −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 0.888065 0.459718i \(-0.152049\pi\)
−0.953026 + 0.302887i \(0.902049\pi\)
\(68\) 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 −0.999346 0.0361678i \(-0.988485\pi\)
−0.0361678 0.999346i \(1.48848\pi\)
\(72\) −2.84968 7.99245i −0.335838 0.941920i
\(73\) −2.73022 + 2.73022i −0.319548 + 0.319548i −0.848593 0.529046i \(-0.822550\pi\)
0.529046 + 0.848593i \(0.322550\pi\)
\(74\) 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 0.721927 0.691970i \(-0.243257\pi\)
−0.999776 + 0.0211827i \(0.993257\pi\)
\(84\) −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 −0.891753 0.452523i \(-0.850524\pi\)
0.452523 + 0.891753i \(0.350524\pi\)
\(90\) 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 0.840519 0.541783i \(-0.182250\pi\)
0.211238 + 0.977435i \(0.432250\pi\)
\(102\) −8.90980 12.2087i −0.882202 1.20884i
\(103\) −10.4823 + 10.4823i −1.03285 + 1.03285i −0.0334101 + 0.999442i \(0.510637\pi\)
−0.999442 + 0.0334101i \(0.989363\pi\)
\(104\) 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 0.787415 0.616423i \(-0.211419\pi\)
0.120910 + 0.992664i \(0.461419\pi\)
\(108\) −9.82523 3.38596i −0.945434 0.325815i
\(109\) 3.00588 + 7.25683i 0.287911 + 0.695078i 0.999975 0.00703600i \(-0.00223965\pi\)
−0.712064 + 0.702114i \(0.752240\pi\)
\(110\) 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 \(-0.888209\pi\)
0.938960 0.344026i \(-0.111791\pi\)
\(128\) 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 −0.331083 0.943602i \(-0.607414\pi\)
0.433116 + 0.901338i \(0.357414\pi\)
\(132\) −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 0.951685 0.307077i \(-0.0993509\pi\)
−0.307077 + 0.951685i \(0.599351\pi\)
\(138\) 6.34189 + 0.990651i 0.539857 + 0.0843298i
\(139\) 0.412435 0.995705i 0.0349822 0.0844546i −0.905423 0.424511i \(-0.860446\pi\)
0.940405 + 0.340056i \(0.110446\pi\)
\(140\) 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 −0.903965 0.427606i \(-0.859357\pi\)
0.941563 + 0.336837i \(0.109357\pi\)
\(150\) 0.230282 1.47420i 0.0188024 0.120368i
\(151\) 9.80869 + 9.80869i 0.798220 + 0.798220i 0.982815 0.184595i \(-0.0590974\pi\)
−0.184595 + 0.982815i \(0.559097\pi\)
\(152\) 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 −0.0268702 0.999639i \(-0.508554\pi\)
0.687851 + 0.725852i \(0.258554\pi\)
\(158\) 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 0.872397 0.488798i \(-0.162564\pi\)
−0.962510 + 0.271246i \(0.912564\pi\)
\(164\) 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 0.775690 0.631114i \(-0.217402\pi\)
−0.631114 + 0.775690i \(0.717402\pi\)
\(168\) 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 0.0130138 0.999915i \(-0.495857\pi\)
0.716249 + 0.697845i \(0.245857\pi\)
\(174\) −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 0.923681 0.383163i \(-0.125165\pi\)
−0.924078 + 0.382203i \(0.875165\pi\)
\(180\) −9.18278 + 10.8446i −0.684444 + 0.808310i
\(181\) −9.45181 3.91507i −0.702547 0.291005i 0.00266940 0.999996i \(-0.499150\pi\)
−0.705217 + 0.708992i \(0.749150\pi\)
\(182\) −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 0.122781 0.992434i \(-0.460819\pi\)
−0.614937 + 0.788576i \(0.710819\pi\)
\(198\) −6.38977 + 1.40060i −0.454101 + 0.0995362i
\(199\) 12.4517 12.4517i 0.882681 0.882681i −0.111125 0.993806i \(-0.535445\pi\)
0.993806 + 0.111125i \(0.0354455\pi\)
\(200\) −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 −0.422542 0.906343i \(-0.638862\pi\)
0.342099 + 0.939664i \(0.388862\pi\)
\(212\) 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 \(0.114405\pi\)
−0.936104 + 0.351724i \(0.885595\pi\)
\(224\) −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 −0.862376 0.506268i \(-0.831025\pi\)
−0.251806 + 0.967778i \(0.581025\pi\)
\(228\) 27.3806 2.87868i 1.81333 0.190646i
\(229\) 5.87646 14.1870i 0.388327 0.937505i −0.601967 0.798521i \(-0.705616\pi\)
0.990295 0.138984i \(-0.0443838\pi\)
\(230\) 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 0.618968 0.785416i \(-0.287551\pi\)
−0.785416 + 0.618968i \(0.787551\pi\)
\(234\) −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 \(-0.807110\pi\)
0.821943 0.569570i \(-0.192890\pi\)
\(240\) 13.3147 9.58943i 0.859461 0.618995i
\(241\) 6.18628i 0.398493i −0.979949 0.199247i \(-0.936151\pi\)
0.979949 0.199247i \(-0.0638495\pi\)
\(242\) 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 0.312876 + 0.949794i \(0.398708\pi\)
−0.892842 + 0.450369i \(0.851292\pi\)
\(252\) −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 \(0.120861\pi\)
−0.928777 + 0.370638i \(0.879139\pi\)
\(258\) −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 0.967879 0.251415i \(-0.0808959\pi\)
−0.251415 + 0.967879i \(0.580896\pi\)
\(264\) 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 −0.760155 0.649742i \(-0.774877\pi\)
−0.0780733 + 0.996948i \(0.524877\pi\)
\(270\) 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 0.348356 0.937362i \(-0.386740\pi\)
−0.416490 + 0.909140i \(0.636740\pi\)
\(278\) 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 −0.250893 0.968015i \(-0.580724\pi\)
0.968015 + 0.250893i \(0.0807241\pi\)
\(282\) −3.06286 + 2.23525i −0.182390 + 0.133107i
\(283\) 12.8158 + 5.30848i 0.761821 + 0.315557i 0.729555 0.683923i \(-0.239727\pi\)
0.0322666 + 0.999479i \(0.489727\pi\)
\(284\) −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 −0.484295 0.874905i \(-0.660924\pi\)
−0.961099 + 0.276203i \(0.910924\pi\)
\(294\) −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 −0.401562 0.915832i \(-0.631532\pi\)
0.363644 + 0.931538i \(0.381532\pi\)
\(308\) −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 −0.801924 0.597425i \(-0.796190\pi\)
0.597425 + 0.801924i \(0.296190\pi\)
\(312\) 0.970781 + 1.02722i 0.0549596 + 0.0581551i
\(313\) 23.2233 + 23.2233i 1.31266 + 1.31266i 0.919449 + 0.393210i \(0.128635\pi\)
0.393210 + 0.919449i \(0.371365\pi\)
\(314\) −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 0.878954 0.476907i \(-0.158242\pi\)
−0.958738 + 0.284289i \(0.908242\pi\)
\(318\) 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 −0.987691 0.156419i \(-0.950005\pi\)
0.809008 + 0.587798i \(0.200005\pi\)
\(332\) −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 \(0.229965\pi\)
−0.750183 + 0.661230i \(0.770035\pi\)
\(338\) −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 −0.882531 0.470254i \(-0.844162\pi\)
0.956564 + 0.291524i \(0.0941623\pi\)
\(348\) −2.00251 19.0469i −0.107346 1.02102i
\(349\) 10.7378 4.44775i 0.574782 0.238083i −0.0763062 0.997084i \(-0.524313\pi\)
0.651089 + 0.759002i \(0.274313\pi\)
\(350\) 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 \(0.0478316\pi\)
−0.988731 + 0.149703i \(0.952168\pi\)
\(354\) −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 0.979467 + 0.201603i \(0.0646152\pi\)
0.201603 + 0.979467i \(0.435385\pi\)
\(360\) 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 −0.0963434 0.995348i \(-0.530715\pi\)
−0.771942 + 0.635692i \(0.780715\pi\)
\(374\) 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 0.666050 0.745907i \(-0.267984\pi\)
−0.0564681 + 0.998404i \(0.517984\pi\)
\(380\) 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 0.926360 0.376639i \(-0.122920\pi\)
0.388712 + 0.921359i \(0.372920\pi\)
\(390\) −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 −0.656654 0.754192i \(-0.728029\pi\)
−0.0689699 0.997619i \(-0.521971\pi\)
\(398\) −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 0.112028 0.993705i \(-0.464265\pi\)
−0.993705 + 0.112028i \(0.964265\pi\)
\(410\) −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 −0.330634 0.943759i \(-0.607263\pi\)
0.433544 + 0.901132i \(0.357263\pi\)
\(420\) −22.2980 + 2.34431i −1.08803 + 0.114391i
\(421\) −0.169965 + 0.410331i −0.00828357 + 0.0199983i −0.927967 0.372662i \(-0.878445\pi\)
0.919684 + 0.392660i \(0.128445\pi\)
\(422\) 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 \(-0.977339\pi\)
0.997467 0.0711329i \(-0.0226614\pi\)
\(432\) −11.6991 + 17.1794i −0.562874 + 0.826543i
\(433\) 31.3472i 1.50645i 0.657764 + 0.753224i \(0.271503\pi\)
−0.657764 + 0.753224i \(0.728497\pi\)
\(434\) 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 0.506791 0.862069i \(-0.330832\pi\)
−0.862069 + 0.506791i \(0.830832\pi\)
\(440\) 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 −0.984957 0.172799i \(-0.944719\pi\)
0.818657 + 0.574283i \(0.194719\pi\)
\(444\) 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 \(-0.807547\pi\)
0.822725 0.568439i \(-0.192453\pi\)
\(450\) 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 −0.952827 0.303515i \(-0.901840\pi\)
0.303515 + 0.952827i \(0.401840\pi\)
\(458\) 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 0.330282 0.943882i \(-0.392856\pi\)
0.900970 + 0.433881i \(0.142856\pi\)
\(462\) −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 0.875315 0.483553i \(-0.160654\pi\)
−0.960865 + 0.277018i \(0.910654\pi\)
\(468\) 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 −0.902740 0.430187i \(-0.858448\pi\)
0.430187 + 0.902740i \(0.358448\pi\)
\(488\) −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 0.375765 0.926715i \(-0.377380\pi\)
−0.389581 + 0.920992i \(0.627380\pi\)
\(492\) 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 −0.253197 0.967415i \(-0.581482\pi\)
0.505028 + 0.863103i \(0.331482\pi\)
\(500\) −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 −0.429536 0.903050i \(-0.641323\pi\)
0.903050 + 0.429536i \(0.141323\pi\)
\(504\) 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 0.962172 0.272442i \(-0.0878313\pi\)
−0.873004 + 0.487713i \(0.837831\pi\)
\(510\) −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 0.993129 0.117027i \(-0.0373363\pi\)
−0.117027 + 0.993129i \(0.537336\pi\)
\(522\) −19.7527 12.6502i −0.864550 0.553682i
\(523\) −15.2948 + 36.9248i −0.668793 + 1.61461i 0.114839 + 0.993384i \(0.463365\pi\)
−0.783632 + 0.621225i \(0.786635\pi\)
\(524\) −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 −0.980325 0.197391i \(-0.936753\pi\)
−0.553618 + 0.832771i \(0.686753\pi\)
\(542\) −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 0.931083 + 0.364808i \(0.118865\pi\)
−0.400416 + 0.916333i \(0.631135\pi\)
\(548\) 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 −0.176832 0.984241i \(-0.556585\pi\)
0.570924 + 0.821003i \(0.306585\pi\)
\(558\) 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 0.947882 0.318620i \(-0.103220\pi\)
−0.895553 + 0.444955i \(0.853220\pi\)
\(564\) 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 0.209674 0.977771i \(-0.432760\pi\)
0.977771 0.209674i \(-0.0672404\pi\)
\(570\) −27.1800 37.2434i −1.13845 1.55996i
\(571\) −37.5476 15.5527i −1.57132 0.650862i −0.584310 0.811530i \(-0.698635\pi\)
−0.987008 + 0.160669i \(0.948635\pi\)
\(572\) 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 0.418963 0.908003i \(-0.362394\pi\)
−0.345803 + 0.938307i \(0.612394\pi\)
\(588\) 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 −0.904103 0.427314i \(-0.859460\pi\)
0.427314 + 0.904103i \(0.359460\pi\)
\(600\) −2.72366 1.21939i −0.111193 0.0497812i
\(601\) −8.80143 8.80143i −0.359018 0.359018i 0.504433 0.863451i \(-0.331702\pi\)
−0.863451 + 0.504433i \(0.831702\pi\)
\(602\) −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 \(0.224322\pi\)
−0.761788 + 0.647826i \(0.775678\pi\)
\(608\) 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 −0.702934 0.711255i \(-0.748127\pi\)
0.999983 0.00588391i \(-0.00187292\pi\)
\(614\) 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 0.378397 0.925643i \(-0.376475\pi\)
−0.925643 + 0.378397i \(0.876475\pi\)
\(618\) 35.8767 + 5.60421i 1.44317 + 0.225434i
\(619\) −3.75210 + 9.05838i −0.150810 + 0.364087i −0.981172 0.193137i \(-0.938134\pi\)
0.830362 + 0.557224i \(0.188134\pi\)
\(620\) 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 0.806242 0.591587i \(-0.201498\pi\)
−0.591587 + 0.806242i \(0.701498\pi\)
\(632\) −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 \(0.0114562\pi\)
−0.999352 + 0.0359830i \(0.988544\pi\)
\(642\) −5.86683 24.2104i −0.231545 0.955509i
\(643\) −10.4095 25.1308i −0.410511 0.991062i −0.985001 0.172550i \(-0.944799\pi\)
0.574489 0.818512i \(-0.305201\pi\)
\(644\) −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 −0.997010 0.0772785i \(-0.975377\pi\)
−0.0772785 0.997010i \(1.47538\pi\)
\(648\) 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 −0.761483 0.648184i \(-0.775529\pi\)
−0.0801145 + 0.996786i \(0.525529\pi\)
\(654\) 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 0.776403 + 0.630237i \(0.217042\pi\)
−0.103355 + 0.994644i \(0.532958\pi\)
\(660\) −6.03623 11.1165i −0.234960 0.432710i
\(661\) 44.7407 + 18.5322i 1.74021 + 0.720819i 0.998759 + 0.0498140i \(0.0158629\pi\)
0.741453 + 0.671005i \(0.234137\pi\)
\(662\) −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 0.680480 0.732767i \(-0.261771\pi\)
−0.0369727 + 0.999316i \(0.511771\pi\)
\(678\) 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 −0.668428 0.743777i \(-0.733032\pi\)
−0.998580 + 0.0532798i \(0.983032\pi\)
\(684\) 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 −0.481166 0.876629i \(-0.659787\pi\)
0.279635 + 0.960106i \(0.409787\pi\)
\(692\) −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 0.939047 + 0.343787i \(0.111710\pi\)
−0.420912 + 0.907101i \(0.638290\pi\)
\(702\) 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 −0.947955 0.318403i \(-0.896853\pi\)
0.895451 + 0.445160i \(0.146853\pi\)
\(710\) 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 \(0.156956\pi\)
−0.880873 + 0.473353i \(0.843044\pi\)
\(720\) 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 −0.972169 0.234280i \(-0.924727\pi\)
−0.234280 0.972169i \(-0.575273\pi\)
\(728\) −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 0.161147 0.986930i \(-0.448481\pi\)
0.811814 + 0.583917i \(0.198481\pi\)
\(734\) 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 0.952840 + 0.303473i \(0.0981461\pi\)
−0.459172 + 0.888347i \(0.651854\pi\)
\(740\) −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 0.600522 0.799608i \(-0.294959\pi\)
−0.799608 + 0.600522i \(0.794959\pi\)
\(744\) −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 0.132068 0.991241i \(-0.457838\pi\)
−0.607526 + 0.794299i \(0.707838\pi\)
\(758\) −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
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