Properties

Label 144.2.u.a.11.3
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20521 + 0.739910i) q^{2} +(-0.679468 - 1.59321i) q^{3} +(0.905065 - 1.78350i) q^{4} +(-2.39818 - 0.642590i) q^{5} +(1.99774 + 1.41741i) q^{6} +(-1.93190 + 3.34616i) q^{7} +(0.228833 + 2.81916i) q^{8} +(-2.07665 + 2.16507i) q^{9} +O(q^{10})\) \(q+(-1.20521 + 0.739910i) q^{2} +(-0.679468 - 1.59321i) q^{3} +(0.905065 - 1.78350i) q^{4} +(-2.39818 - 0.642590i) q^{5} +(1.99774 + 1.41741i) q^{6} +(-1.93190 + 3.34616i) q^{7} +(0.228833 + 2.81916i) q^{8} +(-2.07665 + 2.16507i) q^{9} +(3.36577 - 0.999982i) q^{10} +(-4.01810 + 1.07665i) q^{11} +(-3.45645 - 0.230133i) q^{12} +(3.17330 + 0.850284i) q^{13} +(-0.147504 - 5.46226i) q^{14} +(0.605703 + 4.25743i) q^{15} +(-2.36171 - 3.22836i) q^{16} -1.33161i q^{17} +(0.900838 - 4.14590i) q^{18} +(-6.09021 - 6.09021i) q^{19} +(-3.31657 + 3.69556i) q^{20} +(6.64380 + 0.804327i) q^{21} +(4.04603 - 4.27062i) q^{22} +(0.521462 - 0.301066i) q^{23} +(4.33603 - 2.28010i) q^{24} +(1.00822 + 0.582095i) q^{25} +(-4.45363 + 1.32319i) q^{26} +(4.86043 + 1.83744i) q^{27} +(4.21936 + 6.47403i) q^{28} +(0.272752 - 0.0730837i) q^{29} +(-3.88012 - 4.68293i) q^{30} +(-5.84901 + 3.37693i) q^{31} +(5.23506 + 2.14340i) q^{32} +(4.44549 + 5.67013i) q^{33} +(0.985273 + 1.60487i) q^{34} +(6.78326 - 6.78326i) q^{35} +(1.98190 + 5.66322i) q^{36} +(0.00346351 + 0.00346351i) q^{37} +(11.8462 + 2.83377i) q^{38} +(-0.801475 - 5.63348i) q^{39} +(1.26278 - 6.90789i) q^{40} +(-0.614318 - 1.06403i) q^{41} +(-8.60231 + 3.94643i) q^{42} +(-0.151042 - 0.563698i) q^{43} +(-1.71645 + 8.14070i) q^{44} +(6.37143 - 3.85780i) q^{45} +(-0.405710 + 0.748684i) q^{46} +(1.24972 - 2.16458i) q^{47} +(-3.53875 + 5.95628i) q^{48} +(-3.96450 - 6.86672i) q^{49} +(-1.64581 + 0.0444440i) q^{50} +(-2.12154 + 0.904787i) q^{51} +(4.38852 - 4.89001i) q^{52} +(-3.24883 + 3.24883i) q^{53} +(-7.21739 + 1.38178i) q^{54} +10.3280 q^{55} +(-9.87541 - 4.68063i) q^{56} +(-5.56489 + 13.8411i) q^{57} +(-0.274648 + 0.289893i) q^{58} +(1.44745 - 5.40194i) q^{59} +(8.14131 + 2.77298i) q^{60} +(0.528668 + 1.97301i) q^{61} +(4.55067 - 8.39766i) q^{62} +(-3.23278 - 11.1315i) q^{63} +(-7.89527 + 1.29023i) q^{64} +(-7.06377 - 4.07827i) q^{65} +(-9.55315 - 3.54444i) q^{66} +(-2.65385 + 9.90429i) q^{67} +(-2.37492 - 1.20519i) q^{68} +(-0.833979 - 0.626235i) q^{69} +(-3.15625 + 13.1943i) q^{70} +7.85052i q^{71} +(-6.57888 - 5.35895i) q^{72} -7.41855i q^{73} +(-0.00673695 - 0.00161157i) q^{74} +(0.242349 - 2.00182i) q^{75} +(-16.3739 + 5.34982i) q^{76} +(4.15995 - 15.5252i) q^{77} +(5.13422 + 6.19652i) q^{78} +(-0.839597 - 0.484742i) q^{79} +(3.58930 + 9.25980i) q^{80} +(-0.375072 - 8.99218i) q^{81} +(1.52767 + 0.827840i) q^{82} +(-0.171300 - 0.639302i) q^{83} +(7.44759 - 11.1212i) q^{84} +(-0.855680 + 3.19344i) q^{85} +(0.599124 + 0.567617i) q^{86} +(-0.301764 - 0.384894i) q^{87} +(-3.95471 - 11.0813i) q^{88} +11.2223 q^{89} +(-4.82449 + 9.36375i) q^{90} +(-8.97570 + 8.97570i) q^{91} +(-0.0649933 - 1.20251i) q^{92} +(9.35438 + 7.02420i) q^{93} +(0.0954184 + 3.53345i) q^{94} +(10.6919 + 18.5189i) q^{95} +(-0.142170 - 9.79693i) q^{96} +(-3.24710 + 5.62414i) q^{97} +(9.85882 + 5.34247i) q^{98} +(6.01316 - 10.9353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20521 + 0.739910i −0.852213 + 0.523196i
\(3\) −0.679468 1.59321i −0.392291 0.919841i
\(4\) 0.905065 1.78350i 0.452533 0.891748i
\(5\) −2.39818 0.642590i −1.07250 0.287375i −0.320979 0.947086i \(-0.604012\pi\)
−0.751519 + 0.659711i \(0.770679\pi\)
\(6\) 1.99774 + 1.41741i 0.815572 + 0.578655i
\(7\) −1.93190 + 3.34616i −0.730191 + 1.26473i 0.226610 + 0.973985i \(0.427236\pi\)
−0.956801 + 0.290742i \(0.906098\pi\)
\(8\) 0.228833 + 2.81916i 0.0809047 + 0.996722i
\(9\) −2.07665 + 2.16507i −0.692216 + 0.721691i
\(10\) 3.36577 0.999982i 1.06435 0.316222i
\(11\) −4.01810 + 1.07665i −1.21150 + 0.324621i −0.807351 0.590071i \(-0.799100\pi\)
−0.404151 + 0.914692i \(0.632433\pi\)
\(12\) −3.45645 0.230133i −0.997791 0.0664336i
\(13\) 3.17330 + 0.850284i 0.880116 + 0.235826i 0.670457 0.741948i \(-0.266098\pi\)
0.209659 + 0.977775i \(0.432765\pi\)
\(14\) −0.147504 5.46226i −0.0394222 1.45985i
\(15\) 0.605703 + 4.25743i 0.156392 + 1.09926i
\(16\) −2.36171 3.22836i −0.590429 0.807090i
\(17\) 1.33161i 0.322963i −0.986876 0.161482i \(-0.948373\pi\)
0.986876 0.161482i \(-0.0516272\pi\)
\(18\) 0.900838 4.14590i 0.212330 0.977198i
\(19\) −6.09021 6.09021i −1.39719 1.39719i −0.807981 0.589208i \(-0.799440\pi\)
−0.589208 0.807981i \(-0.700560\pi\)
\(20\) −3.31657 + 3.69556i −0.741607 + 0.826352i
\(21\) 6.64380 + 0.804327i 1.44980 + 0.175519i
\(22\) 4.04603 4.27062i 0.862617 0.910499i
\(23\) 0.521462 0.301066i 0.108732 0.0627767i −0.444648 0.895706i \(-0.646671\pi\)
0.553380 + 0.832929i \(0.313338\pi\)
\(24\) 4.33603 2.28010i 0.885088 0.465424i
\(25\) 1.00822 + 0.582095i 0.201643 + 0.116419i
\(26\) −4.45363 + 1.32319i −0.873429 + 0.259499i
\(27\) 4.86043 + 1.83744i 0.935391 + 0.353616i
\(28\) 4.21936 + 6.47403i 0.797383 + 1.22348i
\(29\) 0.272752 0.0730837i 0.0506488 0.0135713i −0.233406 0.972379i \(-0.574987\pi\)
0.284054 + 0.958808i \(0.408320\pi\)
\(30\) −3.88012 4.68293i −0.708409 0.854982i
\(31\) −5.84901 + 3.37693i −1.05051 + 0.606514i −0.922793 0.385296i \(-0.874099\pi\)
−0.127721 + 0.991810i \(0.540766\pi\)
\(32\) 5.23506 + 2.14340i 0.925437 + 0.378903i
\(33\) 4.44549 + 5.67013i 0.773861 + 0.987044i
\(34\) 0.985273 + 1.60487i 0.168973 + 0.275233i
\(35\) 6.78326 6.78326i 1.14658 1.14658i
\(36\) 1.98190 + 5.66322i 0.330316 + 0.943870i
\(37\) 0.00346351 + 0.00346351i 0.000569398 + 0.000569398i 0.707391 0.706822i \(-0.249872\pi\)
−0.706822 + 0.707391i \(0.749872\pi\)
\(38\) 11.8462 + 2.83377i 1.92171 + 0.459699i
\(39\) −0.801475 5.63348i −0.128339 0.902079i
\(40\) 1.26278 6.90789i 0.199663 1.09223i
\(41\) −0.614318 1.06403i −0.0959403 0.166174i 0.814060 0.580780i \(-0.197252\pi\)
−0.910001 + 0.414607i \(0.863919\pi\)
\(42\) −8.60231 + 3.94643i −1.32737 + 0.608948i
\(43\) −0.151042 0.563698i −0.0230337 0.0859631i 0.953452 0.301544i \(-0.0975021\pi\)
−0.976486 + 0.215581i \(0.930835\pi\)
\(44\) −1.71645 + 8.14070i −0.258764 + 1.22726i
\(45\) 6.37143 3.85780i 0.949796 0.575087i
\(46\) −0.405710 + 0.748684i −0.0598186 + 0.110387i
\(47\) 1.24972 2.16458i 0.182290 0.315736i −0.760370 0.649490i \(-0.774982\pi\)
0.942660 + 0.333754i \(0.108316\pi\)
\(48\) −3.53875 + 5.95628i −0.510775 + 0.859715i
\(49\) −3.96450 6.86672i −0.566358 0.980960i
\(50\) −1.64581 + 0.0444440i −0.232753 + 0.00628533i
\(51\) −2.12154 + 0.904787i −0.297075 + 0.126695i
\(52\) 4.38852 4.89001i 0.608579 0.678122i
\(53\) −3.24883 + 3.24883i −0.446262 + 0.446262i −0.894110 0.447848i \(-0.852191\pi\)
0.447848 + 0.894110i \(0.352191\pi\)
\(54\) −7.21739 + 1.38178i −0.982162 + 0.188036i
\(55\) 10.3280 1.39262
\(56\) −9.87541 4.68063i −1.31966 0.625475i
\(57\) −5.56489 + 13.8411i −0.737088 + 1.83330i
\(58\) −0.274648 + 0.289893i −0.0360631 + 0.0380649i
\(59\) 1.44745 5.40194i 0.188441 0.703273i −0.805426 0.592696i \(-0.798064\pi\)
0.993868 0.110577i \(-0.0352698\pi\)
\(60\) 8.14131 + 2.77298i 1.05104 + 0.357990i
\(61\) 0.528668 + 1.97301i 0.0676890 + 0.252619i 0.991476 0.130287i \(-0.0415900\pi\)
−0.923787 + 0.382906i \(0.874923\pi\)
\(62\) 4.55067 8.39766i 0.577935 1.06650i
\(63\) −3.23278 11.1315i −0.407293 1.40244i
\(64\) −7.89527 + 1.29023i −0.986909 + 0.161279i
\(65\) −7.06377 4.07827i −0.876153 0.505847i
\(66\) −9.55315 3.54444i −1.17591 0.436290i
\(67\) −2.65385 + 9.90429i −0.324219 + 1.21000i 0.590876 + 0.806763i \(0.298782\pi\)
−0.915095 + 0.403239i \(0.867884\pi\)
\(68\) −2.37492 1.20519i −0.288002 0.146151i
\(69\) −0.833979 0.626235i −0.100399 0.0753898i
\(70\) −3.15625 + 13.1943i −0.377244 + 1.57702i
\(71\) 7.85052i 0.931685i 0.884868 + 0.465843i \(0.154249\pi\)
−0.884868 + 0.465843i \(0.845751\pi\)
\(72\) −6.57888 5.35895i −0.775328 0.631558i
\(73\) 7.41855i 0.868275i −0.900847 0.434138i \(-0.857053\pi\)
0.900847 0.434138i \(-0.142947\pi\)
\(74\) −0.00673695 0.00161157i −0.000783155 0.000187342i
\(75\) 0.242349 2.00182i 0.0279840 0.231150i
\(76\) −16.3739 + 5.34982i −1.87821 + 0.613667i
\(77\) 4.15995 15.5252i 0.474071 1.76926i
\(78\) 5.13422 + 6.19652i 0.581336 + 0.701617i
\(79\) −0.839597 0.484742i −0.0944620 0.0545377i 0.452025 0.892005i \(-0.350702\pi\)
−0.546487 + 0.837468i \(0.684035\pi\)
\(80\) 3.58930 + 9.25980i 0.401296 + 1.03528i
\(81\) −0.375072 8.99218i −0.0416747 0.999131i
\(82\) 1.52767 + 0.827840i 0.168703 + 0.0914196i
\(83\) −0.171300 0.639302i −0.0188027 0.0701725i 0.955887 0.293735i \(-0.0948982\pi\)
−0.974690 + 0.223562i \(0.928231\pi\)
\(84\) 7.44759 11.1212i 0.812598 1.21342i
\(85\) −0.855680 + 3.19344i −0.0928116 + 0.346378i
\(86\) 0.599124 + 0.567617i 0.0646052 + 0.0612077i
\(87\) −0.301764 0.384894i −0.0323525 0.0412650i
\(88\) −3.95471 11.0813i −0.421573 1.18127i
\(89\) 11.2223 1.18956 0.594781 0.803887i \(-0.297239\pi\)
0.594781 + 0.803887i \(0.297239\pi\)
\(90\) −4.82449 + 9.36375i −0.508546 + 0.987025i
\(91\) −8.97570 + 8.97570i −0.940909 + 0.940909i
\(92\) −0.0649933 1.20251i −0.00677602 0.125370i
\(93\) 9.35438 + 7.02420i 0.970004 + 0.728376i
\(94\) 0.0954184 + 3.53345i 0.00984165 + 0.364448i
\(95\) 10.6919 + 18.5189i 1.09697 + 1.90000i
\(96\) −0.142170 9.79693i −0.0145101 0.999895i
\(97\) −3.24710 + 5.62414i −0.329693 + 0.571045i −0.982451 0.186521i \(-0.940279\pi\)
0.652758 + 0.757567i \(0.273612\pi\)
\(98\) 9.85882 + 5.34247i 0.995891 + 0.539671i
\(99\) 6.01316 10.9353i 0.604345 1.09904i
\(100\) 1.95067 1.27132i 0.195067 0.127132i
\(101\) −1.55006 5.78490i −0.154237 0.575619i −0.999170 0.0407464i \(-0.987026\pi\)
0.844933 0.534872i \(-0.179640\pi\)
\(102\) 1.88744 2.66021i 0.186884 0.263400i
\(103\) 6.06520 + 10.5052i 0.597622 + 1.03511i 0.993171 + 0.116667i \(0.0372211\pi\)
−0.395549 + 0.918445i \(0.629446\pi\)
\(104\) −1.67093 + 9.14061i −0.163848 + 0.896310i
\(105\) −15.4162 6.19816i −1.50446 0.604879i
\(106\) 1.51168 6.31937i 0.146828 0.613792i
\(107\) −3.78971 3.78971i −0.366365 0.366365i 0.499785 0.866150i \(-0.333412\pi\)
−0.866150 + 0.499785i \(0.833412\pi\)
\(108\) 7.67608 7.00556i 0.738631 0.674110i
\(109\) −6.42830 + 6.42830i −0.615719 + 0.615719i −0.944430 0.328711i \(-0.893386\pi\)
0.328711 + 0.944430i \(0.393386\pi\)
\(110\) −12.4474 + 7.64177i −1.18681 + 0.728614i
\(111\) 0.00316476 0.00787146i 0.000300386 0.000747126i
\(112\) 15.3652 1.66578i 1.45187 0.157402i
\(113\) −8.09791 + 4.67533i −0.761788 + 0.439818i −0.829937 0.557857i \(-0.811624\pi\)
0.0681497 + 0.997675i \(0.478290\pi\)
\(114\) −3.53430 20.7989i −0.331018 1.94800i
\(115\) −1.44402 + 0.386925i −0.134656 + 0.0360809i
\(116\) 0.116514 0.552598i 0.0108181 0.0513074i
\(117\) −8.43076 + 5.10469i −0.779424 + 0.471929i
\(118\) 2.25247 + 7.58145i 0.207357 + 0.697930i
\(119\) 4.45578 + 2.57254i 0.408460 + 0.235825i
\(120\) −11.8637 + 2.68181i −1.08301 + 0.244815i
\(121\) 5.45967 3.15214i 0.496333 0.286558i
\(122\) −2.09701 1.98673i −0.189854 0.179870i
\(123\) −1.27782 + 1.70171i −0.115217 + 0.153438i
\(124\) 0.729001 + 13.4880i 0.0654662 + 1.21126i
\(125\) 6.73411 + 6.73411i 0.602317 + 0.602317i
\(126\) 12.1325 + 11.0238i 1.08085 + 0.982080i
\(127\) 10.4883i 0.930687i −0.885130 0.465343i \(-0.845931\pi\)
0.885130 0.465343i \(-0.154069\pi\)
\(128\) 8.56081 7.39679i 0.756676 0.653790i
\(129\) −0.795461 + 0.623657i −0.0700365 + 0.0549099i
\(130\) 11.5309 0.311383i 1.01133 0.0273101i
\(131\) 18.0530 + 4.83728i 1.57730 + 0.422635i 0.938087 0.346399i \(-0.112596\pi\)
0.639208 + 0.769034i \(0.279262\pi\)
\(132\) 14.1361 2.79668i 1.23039 0.243419i
\(133\) 32.1445 8.61309i 2.78728 0.746849i
\(134\) −4.12984 13.9004i −0.356764 1.20081i
\(135\) −10.4755 7.52978i −0.901585 0.648061i
\(136\) 3.75402 0.304716i 0.321904 0.0261292i
\(137\) −5.65739 + 9.79888i −0.483343 + 0.837175i −0.999817 0.0191280i \(-0.993911\pi\)
0.516474 + 0.856303i \(0.327244\pi\)
\(138\) 1.46848 + 0.137675i 0.125005 + 0.0117197i
\(139\) −6.40659 1.71664i −0.543399 0.145603i −0.0233307 0.999728i \(-0.507427\pi\)
−0.520069 + 0.854124i \(0.674094\pi\)
\(140\) −5.95862 18.2372i −0.503596 1.54133i
\(141\) −4.29777 0.520307i −0.361938 0.0438178i
\(142\) −5.80868 9.46153i −0.487454 0.793994i
\(143\) −13.6661 −1.14282
\(144\) 11.8941 + 1.59088i 0.991173 + 0.132574i
\(145\) −0.701072 −0.0582208
\(146\) 5.48906 + 8.94091i 0.454278 + 0.739955i
\(147\) −8.24639 + 10.9820i −0.680151 + 0.905781i
\(148\) 0.00931187 0.00304246i 0.000765431 0.000250088i
\(149\) −21.9467 5.88059i −1.79794 0.481757i −0.804288 0.594240i \(-0.797453\pi\)
−0.993654 + 0.112483i \(0.964120\pi\)
\(150\) 1.18908 + 2.59193i 0.0970884 + 0.211630i
\(151\) 7.60398 13.1705i 0.618803 1.07180i −0.370902 0.928672i \(-0.620951\pi\)
0.989704 0.143126i \(-0.0457154\pi\)
\(152\) 15.7756 18.5629i 1.27957 1.50565i
\(153\) 2.88303 + 2.76529i 0.233079 + 0.223560i
\(154\) 6.47361 + 21.7891i 0.521658 + 1.75581i
\(155\) 16.1970 4.33996i 1.30097 0.348594i
\(156\) −10.7727 3.66924i −0.862505 0.293775i
\(157\) −11.4107 3.05749i −0.910675 0.244015i −0.227080 0.973876i \(-0.572918\pi\)
−0.683595 + 0.729862i \(0.739585\pi\)
\(158\) 1.37056 0.0370109i 0.109036 0.00294443i
\(159\) 7.38356 + 2.96860i 0.585554 + 0.235425i
\(160\) −11.1773 8.50425i −0.883642 0.672320i
\(161\) 2.32652i 0.183356i
\(162\) 7.10545 + 10.5600i 0.558257 + 0.829668i
\(163\) −2.65630 2.65630i −0.208057 0.208057i 0.595384 0.803441i \(-0.297000\pi\)
−0.803441 + 0.595384i \(0.797000\pi\)
\(164\) −2.45369 + 0.132617i −0.191601 + 0.0103557i
\(165\) −7.01752 16.4546i −0.546313 1.28099i
\(166\) 0.679479 + 0.643747i 0.0527378 + 0.0499644i
\(167\) −9.93169 + 5.73407i −0.768538 + 0.443715i −0.832353 0.554246i \(-0.813007\pi\)
0.0638151 + 0.997962i \(0.479673\pi\)
\(168\) −0.747203 + 18.9140i −0.0576479 + 1.45924i
\(169\) −1.91146 1.10358i −0.147035 0.0848909i
\(170\) −1.33159 4.48190i −0.102128 0.343746i
\(171\) 25.8329 0.538524i 1.97550 0.0411819i
\(172\) −1.14206 0.240800i −0.0870809 0.0183608i
\(173\) −21.9037 + 5.86908i −1.66531 + 0.446218i −0.963840 0.266483i \(-0.914138\pi\)
−0.701468 + 0.712701i \(0.747472\pi\)
\(174\) 0.648476 + 0.240600i 0.0491609 + 0.0182398i
\(175\) −3.89556 + 2.24910i −0.294476 + 0.170016i
\(176\) 12.9654 + 10.4291i 0.977304 + 0.786126i
\(177\) −9.58993 + 1.36436i −0.720823 + 0.102551i
\(178\) −13.5253 + 8.30351i −1.01376 + 0.622374i
\(179\) −7.29427 + 7.29427i −0.545199 + 0.545199i −0.925048 0.379849i \(-0.875976\pi\)
0.379849 + 0.925048i \(0.375976\pi\)
\(180\) −1.11381 14.8550i −0.0830184 1.10722i
\(181\) −2.73737 2.73737i −0.203467 0.203467i 0.598016 0.801484i \(-0.295956\pi\)
−0.801484 + 0.598016i \(0.795956\pi\)
\(182\) 4.17639 17.4588i 0.309575 1.29413i
\(183\) 2.78422 2.18288i 0.205815 0.161363i
\(184\) 0.968080 + 1.40119i 0.0713678 + 0.103297i
\(185\) −0.00608051 0.0105317i −0.000447048 0.000774310i
\(186\) −16.4713 1.54424i −1.20773 0.113229i
\(187\) 1.43367 + 5.35054i 0.104841 + 0.391271i
\(188\) −2.72944 4.18795i −0.199065 0.305438i
\(189\) −15.5383 + 12.7140i −1.13024 + 0.924807i
\(190\) −26.5883 14.4081i −1.92892 1.04528i
\(191\) 2.98376 5.16802i 0.215897 0.373945i −0.737653 0.675180i \(-0.764066\pi\)
0.953550 + 0.301236i \(0.0973991\pi\)
\(192\) 7.42019 + 11.7022i 0.535506 + 0.844531i
\(193\) 1.79816 + 3.11450i 0.129434 + 0.224187i 0.923458 0.383701i \(-0.125351\pi\)
−0.794023 + 0.607887i \(0.792017\pi\)
\(194\) −0.247922 9.18084i −0.0177998 0.659146i
\(195\) −1.69794 + 14.0251i −0.121592 + 1.00436i
\(196\) −15.8349 + 0.855845i −1.13106 + 0.0611318i
\(197\) −9.60375 + 9.60375i −0.684239 + 0.684239i −0.960952 0.276713i \(-0.910755\pi\)
0.276713 + 0.960952i \(0.410755\pi\)
\(198\) 0.844012 + 17.6285i 0.0599813 + 1.25280i
\(199\) 11.8548 0.840363 0.420182 0.907440i \(-0.361966\pi\)
0.420182 + 0.907440i \(0.361966\pi\)
\(200\) −1.41030 + 2.97552i −0.0997234 + 0.210401i
\(201\) 17.5828 2.50151i 1.24020 0.176443i
\(202\) 6.14845 + 5.82511i 0.432603 + 0.409854i
\(203\) −0.282381 + 1.05386i −0.0198193 + 0.0739666i
\(204\) −0.306447 + 4.60265i −0.0214556 + 0.322250i
\(205\) 0.789510 + 2.94649i 0.0551417 + 0.205792i
\(206\) −15.0828 8.17332i −1.05087 0.569462i
\(207\) −0.431063 + 1.75421i −0.0299609 + 0.121926i
\(208\) −4.74941 12.2527i −0.329312 0.849571i
\(209\) 31.0280 + 17.9141i 2.14626 + 1.23914i
\(210\) 23.1658 3.93650i 1.59859 0.271644i
\(211\) 4.23802 15.8165i 0.291757 1.08885i −0.652001 0.758218i \(-0.726070\pi\)
0.943759 0.330635i \(-0.107263\pi\)
\(212\) 2.85387 + 8.73469i 0.196005 + 0.599901i
\(213\) 12.5075 5.33418i 0.857003 0.365492i
\(214\) 7.37144 + 1.76335i 0.503901 + 0.120540i
\(215\) 1.44891i 0.0988146i
\(216\) −4.06781 + 14.1228i −0.276779 + 0.960934i
\(217\) 26.0956i 1.77149i
\(218\) 2.99109 12.5038i 0.202582 0.846865i
\(219\) −11.8193 + 5.04066i −0.798675 + 0.340616i
\(220\) 9.34748 18.4199i 0.630207 1.24187i
\(221\) 1.13225 4.22561i 0.0761632 0.284245i
\(222\) 0.00200996 + 0.0118284i 0.000134900 + 0.000793871i
\(223\) 15.9088 + 9.18497i 1.06533 + 0.615071i 0.926903 0.375301i \(-0.122461\pi\)
0.138431 + 0.990372i \(0.455794\pi\)
\(224\) −17.2858 + 13.3765i −1.15495 + 0.893754i
\(225\) −3.35399 + 0.974058i −0.223599 + 0.0649372i
\(226\) 6.30036 11.6265i 0.419094 0.773383i
\(227\) 1.44157 + 5.38000i 0.0956802 + 0.357083i 0.997122 0.0758175i \(-0.0241567\pi\)
−0.901441 + 0.432901i \(0.857490\pi\)
\(228\) 19.6489 + 22.4520i 1.30128 + 1.48692i
\(229\) −6.91557 + 25.8093i −0.456994 + 1.70552i 0.225165 + 0.974321i \(0.427708\pi\)
−0.682159 + 0.731204i \(0.738959\pi\)
\(230\) 1.45406 1.53477i 0.0958780 0.101200i
\(231\) −27.5614 + 3.92116i −1.81341 + 0.257993i
\(232\) 0.268449 + 0.752207i 0.0176245 + 0.0493848i
\(233\) 16.7979 1.10047 0.550233 0.835011i \(-0.314539\pi\)
0.550233 + 0.835011i \(0.314539\pi\)
\(234\) 6.38383 12.3902i 0.417324 0.809975i
\(235\) −4.38799 + 4.38799i −0.286241 + 0.286241i
\(236\) −8.32430 7.47062i −0.541866 0.486296i
\(237\) −0.201817 + 1.66702i −0.0131094 + 0.108285i
\(238\) −7.27360 + 0.196418i −0.471478 + 0.0127319i
\(239\) −7.79074 13.4940i −0.503941 0.872851i −0.999990 0.00455666i \(-0.998550\pi\)
0.496049 0.868295i \(-0.334784\pi\)
\(240\) 12.3140 12.0103i 0.794866 0.775259i
\(241\) 7.24520 12.5490i 0.466704 0.808355i −0.532573 0.846384i \(-0.678775\pi\)
0.999277 + 0.0380291i \(0.0121080\pi\)
\(242\) −4.24775 + 7.83866i −0.273056 + 0.503888i
\(243\) −14.0716 + 6.70747i −0.902694 + 0.430284i
\(244\) 3.99734 + 0.842830i 0.255904 + 0.0539567i
\(245\) 5.09510 + 19.0152i 0.325514 + 1.21484i
\(246\) 0.280922 2.99639i 0.0179109 0.191043i
\(247\) −14.1477 24.5045i −0.900195 1.55918i
\(248\) −10.8585 15.7165i −0.689518 0.998000i
\(249\) −0.902150 + 0.707303i −0.0571715 + 0.0448235i
\(250\) −13.0987 3.13338i −0.828432 0.198172i
\(251\) −19.7766 19.7766i −1.24829 1.24829i −0.956475 0.291815i \(-0.905741\pi\)
−0.291815 0.956475i \(-0.594259\pi\)
\(252\) −22.7789 4.30907i −1.43493 0.271446i
\(253\) −1.77114 + 1.77114i −0.111351 + 0.111351i
\(254\) 7.76041 + 12.6406i 0.486931 + 0.793143i
\(255\) 5.66924 0.806561i 0.355021 0.0505088i
\(256\) −4.84461 + 15.2489i −0.302788 + 0.953058i
\(257\) 17.3273 10.0039i 1.08085 0.624028i 0.149723 0.988728i \(-0.452162\pi\)
0.931125 + 0.364700i \(0.118828\pi\)
\(258\) 0.497248 1.34021i 0.0309573 0.0834377i
\(259\) −0.0182806 + 0.00489828i −0.00113590 + 0.000304364i
\(260\) −13.6667 + 8.90710i −0.847575 + 0.552395i
\(261\) −0.408179 + 0.742297i −0.0252656 + 0.0459470i
\(262\) −25.3368 + 7.52764i −1.56531 + 0.465059i
\(263\) −5.23357 3.02160i −0.322716 0.186320i 0.329887 0.944021i \(-0.392989\pi\)
−0.652602 + 0.757700i \(0.726323\pi\)
\(264\) −14.9677 + 13.8300i −0.921199 + 0.851181i
\(265\) 9.87896 5.70362i 0.606859 0.350370i
\(266\) −32.3679 + 34.1646i −1.98461 + 2.09477i
\(267\) −7.62520 17.8795i −0.466655 1.09421i
\(268\) 15.2624 + 13.6972i 0.932297 + 0.836687i
\(269\) −16.3593 16.3593i −0.997443 0.997443i 0.00255337 0.999997i \(-0.499187\pi\)
−0.999997 + 0.00255337i \(0.999187\pi\)
\(270\) 18.1965 + 1.32407i 1.10740 + 0.0805802i
\(271\) 12.7820i 0.776454i −0.921564 0.388227i \(-0.873088\pi\)
0.921564 0.388227i \(-0.126912\pi\)
\(272\) −4.29892 + 3.14488i −0.260660 + 0.190687i
\(273\) 20.3989 + 8.20149i 1.23460 + 0.496377i
\(274\) −0.431952 15.9957i −0.0260952 0.966334i
\(275\) −4.67783 1.25342i −0.282084 0.0755841i
\(276\) −1.87169 + 0.920615i −0.112663 + 0.0554145i
\(277\) −11.0474 + 2.96015i −0.663776 + 0.177858i −0.574949 0.818189i \(-0.694978\pi\)
−0.0888264 + 0.996047i \(0.528312\pi\)
\(278\) 8.99144 2.67139i 0.539271 0.160219i
\(279\) 4.83504 19.6762i 0.289466 1.17798i
\(280\) 20.6753 + 17.5708i 1.23559 + 1.05006i
\(281\) 3.53089 6.11568i 0.210635 0.364831i −0.741278 0.671198i \(-0.765780\pi\)
0.951914 + 0.306367i \(0.0991134\pi\)
\(282\) 5.56470 2.55289i 0.331373 0.152022i
\(283\) 28.2269 + 7.56336i 1.67791 + 0.449595i 0.967227 0.253915i \(-0.0817182\pi\)
0.710686 + 0.703510i \(0.248385\pi\)
\(284\) 14.0014 + 7.10523i 0.830829 + 0.421618i
\(285\) 22.2398 29.6175i 1.31737 1.75439i
\(286\) 16.4705 10.1117i 0.973923 0.597917i
\(287\) 4.74721 0.280219
\(288\) −15.5120 + 6.88320i −0.914052 + 0.405597i
\(289\) 15.2268 0.895695
\(290\) 0.844939 0.518730i 0.0496165 0.0304609i
\(291\) 11.1668 + 1.35190i 0.654607 + 0.0792495i
\(292\) −13.2309 6.71427i −0.774282 0.392923i
\(293\) 24.0146 + 6.43469i 1.40295 + 0.375919i 0.879402 0.476080i \(-0.157943\pi\)
0.523545 + 0.851998i \(0.324609\pi\)
\(294\) 1.81293 19.3372i 0.105732 1.12777i
\(295\) −6.94247 + 12.0247i −0.404206 + 0.700106i
\(296\) −0.00897162 + 0.0105567i −0.000521465 + 0.000613598i
\(297\) −21.5080 2.15006i −1.24802 0.124759i
\(298\) 30.8015 9.15122i 1.78428 0.530116i
\(299\) 1.91075 0.511984i 0.110501 0.0296088i
\(300\) −3.35089 2.24400i −0.193464 0.129558i
\(301\) 2.17802 + 0.583598i 0.125539 + 0.0336381i
\(302\) 0.580578 + 21.4995i 0.0334085 + 1.23715i
\(303\) −8.16335 + 6.40022i −0.468972 + 0.367683i
\(304\) −5.27805 + 34.0447i −0.302717 + 1.95260i
\(305\) 5.07136i 0.290385i
\(306\) −5.52073 1.19957i −0.315599 0.0685746i
\(307\) 13.0736 + 13.0736i 0.746147 + 0.746147i 0.973753 0.227606i \(-0.0730898\pi\)
−0.227606 + 0.973753i \(0.573090\pi\)
\(308\) −23.9240 21.4705i −1.36320 1.22340i
\(309\) 12.6160 16.8011i 0.717697 0.955783i
\(310\) −16.3096 + 17.2149i −0.926321 + 0.977739i
\(311\) −24.9978 + 14.4325i −1.41749 + 0.818390i −0.996078 0.0884785i \(-0.971800\pi\)
−0.421414 + 0.906868i \(0.638466\pi\)
\(312\) 15.6983 3.54861i 0.888739 0.200900i
\(313\) −17.2743 9.97334i −0.976403 0.563727i −0.0752210 0.997167i \(-0.523966\pi\)
−0.901182 + 0.433440i \(0.857300\pi\)
\(314\) 16.0146 4.75799i 0.903756 0.268509i
\(315\) 0.599807 + 28.7727i 0.0337953 + 1.62116i
\(316\) −1.62442 + 1.05869i −0.0913810 + 0.0595562i
\(317\) 12.2501 3.28240i 0.688034 0.184358i 0.102169 0.994767i \(-0.467422\pi\)
0.585865 + 0.810409i \(0.300755\pi\)
\(318\) −11.0952 + 1.88538i −0.622190 + 0.105727i
\(319\) −1.01726 + 0.587315i −0.0569556 + 0.0328833i
\(320\) 19.7634 + 1.97922i 1.10481 + 0.110642i
\(321\) −3.46282 + 8.61279i −0.193276 + 0.480719i
\(322\) −1.72142 2.80395i −0.0959310 0.156258i
\(323\) −8.10979 + 8.10979i −0.451241 + 0.451241i
\(324\) −16.3770 7.46957i −0.909832 0.414976i
\(325\) 2.70443 + 2.70443i 0.150015 + 0.150015i
\(326\) 5.16682 + 1.23598i 0.286164 + 0.0684544i
\(327\) 14.6095 + 5.87382i 0.807905 + 0.324823i
\(328\) 2.85909 1.97534i 0.157867 0.109070i
\(329\) 4.82867 + 8.36351i 0.266213 + 0.461095i
\(330\) 20.6325 + 14.6390i 1.13578 + 0.805848i
\(331\) −6.98582 26.0714i −0.383975 1.43302i −0.839776 0.542934i \(-0.817313\pi\)
0.455800 0.890082i \(-0.349353\pi\)
\(332\) −1.29523 0.273096i −0.0710850 0.0149881i
\(333\) −0.0146913 0.000306260i −0.000805076 1.67829e-5i
\(334\) 7.72709 14.2593i 0.422807 0.780235i
\(335\) 12.7288 22.0469i 0.695449 1.20455i
\(336\) −13.0941 23.3482i −0.714342 1.27375i
\(337\) −1.19472 2.06931i −0.0650805 0.112723i 0.831649 0.555301i \(-0.187397\pi\)
−0.896730 + 0.442579i \(0.854064\pi\)
\(338\) 3.12026 0.0842605i 0.169720 0.00458317i
\(339\) 12.9511 + 9.72495i 0.703405 + 0.528187i
\(340\) 4.92105 + 4.41638i 0.266881 + 0.239512i
\(341\) 19.8662 19.8662i 1.07581 1.07581i
\(342\) −30.7357 + 19.7631i −1.66200 + 1.06867i
\(343\) 3.58951 0.193815
\(344\) 1.55459 0.554804i 0.0838177 0.0299130i
\(345\) 1.59762 + 2.03773i 0.0860129 + 0.109708i
\(346\) 22.0560 23.2803i 1.18574 1.25155i
\(347\) −8.30210 + 30.9839i −0.445680 + 1.66330i 0.268454 + 0.963292i \(0.413487\pi\)
−0.714134 + 0.700009i \(0.753179\pi\)
\(348\) −0.959573 + 0.189841i −0.0514385 + 0.0101765i
\(349\) 1.13737 + 4.24471i 0.0608818 + 0.227214i 0.989663 0.143416i \(-0.0458086\pi\)
−0.928781 + 0.370630i \(0.879142\pi\)
\(350\) 3.03083 5.59300i 0.162005 0.298959i
\(351\) 13.8613 + 9.96351i 0.739860 + 0.531813i
\(352\) −23.3427 2.97607i −1.24417 0.158625i
\(353\) −30.3229 17.5069i −1.61393 0.931800i −0.988448 0.151558i \(-0.951571\pi\)
−0.625477 0.780243i \(-0.715096\pi\)
\(354\) 10.5484 8.74002i 0.560640 0.464527i
\(355\) 5.04467 18.8270i 0.267743 0.999231i
\(356\) 10.1569 20.0149i 0.538316 1.06079i
\(357\) 1.07105 8.84696i 0.0566860 0.468231i
\(358\) 3.39403 14.1882i 0.179380 0.749872i
\(359\) 3.80659i 0.200904i 0.994942 + 0.100452i \(0.0320289\pi\)
−0.994942 + 0.100452i \(0.967971\pi\)
\(360\) 12.3337 + 17.0793i 0.650044 + 0.900156i
\(361\) 55.1813i 2.90428i
\(362\) 5.32452 + 1.27370i 0.279851 + 0.0669442i
\(363\) −8.73169 6.55663i −0.458295 0.344134i
\(364\) 7.88453 + 24.1317i 0.413262 + 1.26485i
\(365\) −4.76709 + 17.7910i −0.249521 + 0.931224i
\(366\) −1.74043 + 4.69090i −0.0909739 + 0.245197i
\(367\) 5.70033 + 3.29109i 0.297555 + 0.171793i 0.641344 0.767253i \(-0.278377\pi\)
−0.343789 + 0.939047i \(0.611711\pi\)
\(368\) −2.20349 0.972435i −0.114865 0.0506917i
\(369\) 3.57942 + 0.879572i 0.186337 + 0.0457887i
\(370\) 0.0151208 + 0.00819394i 0.000786095 + 0.000425983i
\(371\) −4.59467 17.1475i −0.238543 0.890256i
\(372\) 20.9940 10.3261i 1.08849 0.535385i
\(373\) −2.26700 + 8.46055i −0.117381 + 0.438071i −0.999454 0.0330416i \(-0.989481\pi\)
0.882073 + 0.471112i \(0.156147\pi\)
\(374\) −5.68680 5.38774i −0.294058 0.278593i
\(375\) 6.15325 15.3045i 0.317753 0.790320i
\(376\) 6.38826 + 3.02783i 0.329449 + 0.156148i
\(377\) 0.927667 0.0477773
\(378\) 9.31965 26.8200i 0.479351 1.37947i
\(379\) −17.4765 + 17.4765i −0.897706 + 0.897706i −0.995233 0.0975266i \(-0.968907\pi\)
0.0975266 + 0.995233i \(0.468907\pi\)
\(380\) 42.7053 2.30814i 2.19074 0.118405i
\(381\) −16.7101 + 7.12647i −0.856084 + 0.365100i
\(382\) 0.227815 + 8.43626i 0.0116560 + 0.431637i
\(383\) −4.06922 7.04809i −0.207927 0.360140i 0.743134 0.669142i \(-0.233338\pi\)
−0.951061 + 0.309002i \(0.900005\pi\)
\(384\) −17.6015 8.61330i −0.898220 0.439546i
\(385\) −19.9526 + 34.5590i −1.01688 + 1.76129i
\(386\) −4.47161 2.42315i −0.227599 0.123335i
\(387\) 1.53411 + 0.843584i 0.0779831 + 0.0428818i
\(388\) 7.09180 + 10.8814i 0.360031 + 0.552420i
\(389\) 2.40866 + 8.98924i 0.122124 + 0.455772i 0.999721 0.0236267i \(-0.00752132\pi\)
−0.877597 + 0.479399i \(0.840855\pi\)
\(390\) −8.33096 18.1596i −0.421855 0.919545i
\(391\) −0.400903 0.694385i −0.0202745 0.0351165i
\(392\) 18.4511 12.7479i 0.931924 0.643865i
\(393\) −4.55960 32.0490i −0.230001 1.61666i
\(394\) 4.46863 18.6805i 0.225126 0.941108i
\(395\) 1.70201 + 1.70201i 0.0856376 + 0.0856376i
\(396\) −14.0607 20.6216i −0.706579 1.03627i
\(397\) 7.15374 7.15374i 0.359036 0.359036i −0.504422 0.863458i \(-0.668294\pi\)
0.863458 + 0.504422i \(0.168294\pi\)
\(398\) −14.2875 + 8.77148i −0.716168 + 0.439674i
\(399\) −35.5636 45.3606i −1.78041 2.27087i
\(400\) −0.501911 4.62963i −0.0250955 0.231481i
\(401\) −3.93575 + 2.27231i −0.196542 + 0.113474i −0.595041 0.803695i \(-0.702864\pi\)
0.398500 + 0.917169i \(0.369531\pi\)
\(402\) −19.3401 + 16.0246i −0.964598 + 0.799233i
\(403\) −21.4320 + 5.74270i −1.06761 + 0.286064i
\(404\) −11.7202 2.47119i −0.583104 0.122946i
\(405\) −4.87880 + 21.8059i −0.242429 + 1.08354i
\(406\) −0.439434 1.47906i −0.0218088 0.0734046i
\(407\) −0.0176457 0.0101878i −0.000874666 0.000504988i
\(408\) −3.03621 5.77390i −0.150315 0.285851i
\(409\) 3.62043 2.09026i 0.179019 0.103356i −0.407813 0.913066i \(-0.633708\pi\)
0.586832 + 0.809709i \(0.300375\pi\)
\(410\) −3.13166 2.96697i −0.154662 0.146528i
\(411\) 19.4557 + 2.35539i 0.959679 + 0.116183i
\(412\) 24.2255 1.30934i 1.19350 0.0645064i
\(413\) 15.2794 + 15.2794i 0.751850 + 0.751850i
\(414\) −0.778438 2.43314i −0.0382581 0.119582i
\(415\) 1.64324i 0.0806634i
\(416\) 14.7899 + 11.2529i 0.725136 + 0.551721i
\(417\) 1.61810 + 11.3734i 0.0792386 + 0.556960i
\(418\) −50.6501 + 1.36777i −2.47738 + 0.0668999i
\(419\) −6.29040 1.68551i −0.307306 0.0823425i 0.101870 0.994798i \(-0.467517\pi\)
−0.409177 + 0.912455i \(0.634184\pi\)
\(420\) −25.0070 + 21.8849i −1.22022 + 1.06788i
\(421\) −20.2777 + 5.43340i −0.988275 + 0.264808i −0.716526 0.697560i \(-0.754269\pi\)
−0.271749 + 0.962368i \(0.587602\pi\)
\(422\) 6.59509 + 22.1980i 0.321044 + 1.08058i
\(423\) 2.09124 + 7.20080i 0.101680 + 0.350115i
\(424\) −9.90241 8.41553i −0.480903 0.408694i
\(425\) 0.775124 1.34255i 0.0375990 0.0651234i
\(426\) −11.1274 + 15.6833i −0.539125 + 0.759857i
\(427\) −7.62335 2.04267i −0.368920 0.0988517i
\(428\) −10.1889 + 3.32900i −0.492497 + 0.160913i
\(429\) 9.28567 + 21.7730i 0.448317 + 1.05121i
\(430\) −1.07206 1.74624i −0.0516994 0.0842111i
\(431\) 0.0435385 0.00209718 0.00104859 0.999999i \(-0.499666\pi\)
0.00104859 + 0.999999i \(0.499666\pi\)
\(432\) −5.54703 20.0307i −0.266881 0.963729i
\(433\) 2.44457 0.117479 0.0587393 0.998273i \(-0.481292\pi\)
0.0587393 + 0.998273i \(0.481292\pi\)
\(434\) 19.3084 + 31.4507i 0.926834 + 1.50968i
\(435\) 0.476356 + 1.11696i 0.0228395 + 0.0535539i
\(436\) 5.64681 + 17.2829i 0.270433 + 0.827699i
\(437\) −5.00937 1.34226i −0.239631 0.0642088i
\(438\) 10.5151 14.8203i 0.502432 0.708141i
\(439\) −8.44077 + 14.6199i −0.402856 + 0.697767i −0.994069 0.108748i \(-0.965316\pi\)
0.591213 + 0.806515i \(0.298649\pi\)
\(440\) 2.36338 + 29.1161i 0.112670 + 1.38806i
\(441\) 23.0998 + 5.67632i 1.09999 + 0.270301i
\(442\) 1.76197 + 5.93051i 0.0838085 + 0.282085i
\(443\) −7.30446 + 1.95722i −0.347045 + 0.0929905i −0.428131 0.903717i \(-0.640828\pi\)
0.0810858 + 0.996707i \(0.474161\pi\)
\(444\) −0.0111744 0.0127685i −0.000530313 0.000605967i
\(445\) −26.9131 7.21135i −1.27580 0.341851i
\(446\) −25.9696 + 0.701289i −1.22969 + 0.0332070i
\(447\) 5.54303 + 38.9614i 0.262176 + 1.84281i
\(448\) 10.9356 28.9114i 0.516658 1.36594i
\(449\) 1.51444i 0.0714709i −0.999361 0.0357355i \(-0.988623\pi\)
0.999361 0.0357355i \(-0.0113774\pi\)
\(450\) 3.32155 3.65560i 0.156579 0.172326i
\(451\) 3.61397 + 3.61397i 0.170175 + 0.170175i
\(452\) 1.00930 + 18.6741i 0.0474733 + 0.878354i
\(453\) −26.1500 3.16583i −1.22863 0.148744i
\(454\) −5.71811 5.41741i −0.268364 0.254251i
\(455\) 27.2930 15.7576i 1.27952 0.738730i
\(456\) −40.2936 12.5210i −1.88692 0.586349i
\(457\) −28.8273 16.6435i −1.34848 0.778548i −0.360450 0.932779i \(-0.617377\pi\)
−0.988035 + 0.154230i \(0.950710\pi\)
\(458\) −10.7618 36.2225i −0.502867 1.69257i
\(459\) 2.44676 6.47221i 0.114205 0.302097i
\(460\) −0.616856 + 2.92560i −0.0287611 + 0.136407i
\(461\) 16.9725 4.54777i 0.790488 0.211811i 0.159084 0.987265i \(-0.449146\pi\)
0.631404 + 0.775454i \(0.282479\pi\)
\(462\) 30.3160 25.1188i 1.41043 1.16863i
\(463\) 9.07067 5.23695i 0.421550 0.243382i −0.274190 0.961675i \(-0.588410\pi\)
0.695740 + 0.718294i \(0.255077\pi\)
\(464\) −0.880103 0.707939i −0.0408578 0.0328653i
\(465\) −17.9198 22.8563i −0.831011 1.05994i
\(466\) −20.2450 + 12.4289i −0.937831 + 0.575759i
\(467\) 2.14028 2.14028i 0.0990405 0.0990405i −0.655850 0.754891i \(-0.727690\pi\)
0.754891 + 0.655850i \(0.227690\pi\)
\(468\) 1.47381 + 19.6563i 0.0681267 + 0.908613i
\(469\) −28.0143 28.0143i −1.29358 1.29358i
\(470\) 2.04173 8.53517i 0.0941781 0.393698i
\(471\) 2.88198 + 20.2572i 0.132795 + 0.933401i
\(472\) 15.5601 + 2.84443i 0.716213 + 0.130926i
\(473\) 1.21381 + 2.10237i 0.0558109 + 0.0966672i
\(474\) −0.990215 2.15844i −0.0454821 0.0991404i
\(475\) −2.59518 9.68533i −0.119075 0.444393i
\(476\) 8.62089 5.61854i 0.395138 0.257525i
\(477\) −0.287277 13.7806i −0.0131535 0.630972i
\(478\) 19.3738 + 10.4986i 0.886137 + 0.480195i
\(479\) −8.05687 + 13.9549i −0.368128 + 0.637616i −0.989273 0.146080i \(-0.953334\pi\)
0.621145 + 0.783696i \(0.286668\pi\)
\(480\) −5.95446 + 23.5862i −0.271783 + 1.07656i
\(481\) 0.00804581 + 0.0139357i 0.000366857 + 0.000635415i
\(482\) 0.553184 + 20.4850i 0.0251968 + 0.933068i
\(483\) 3.70665 1.58080i 0.168658 0.0719288i
\(484\) −0.680474 12.5902i −0.0309306 0.572281i
\(485\) 11.4012 11.4012i 0.517700 0.517700i
\(486\) 11.9963 18.4956i 0.544164 0.838979i
\(487\) −31.5803 −1.43104 −0.715520 0.698593i \(-0.753810\pi\)
−0.715520 + 0.698593i \(0.753810\pi\)
\(488\) −5.44126 + 1.94189i −0.246314 + 0.0879051i
\(489\) −2.42718 + 6.03692i −0.109761 + 0.272999i
\(490\) −20.2102 19.1474i −0.913004 0.864991i
\(491\) 10.0547 37.5248i 0.453764 1.69347i −0.237931 0.971282i \(-0.576469\pi\)
0.691695 0.722190i \(-0.256864\pi\)
\(492\) 1.87849 + 3.81914i 0.0846889 + 0.172180i
\(493\) −0.0973191 0.363200i −0.00438303 0.0163577i
\(494\) 35.1820 + 19.0651i 1.58291 + 0.857777i
\(495\) −21.4475 + 22.3608i −0.963995 + 1.00504i
\(496\) 24.7156 + 10.9074i 1.10977 + 0.489756i
\(497\) −26.2691 15.1665i −1.17833 0.680308i
\(498\) 0.563940 1.51996i 0.0252708 0.0681110i
\(499\) −4.93425 + 18.4149i −0.220887 + 0.824362i 0.763123 + 0.646253i \(0.223665\pi\)
−0.984011 + 0.178110i \(0.943002\pi\)
\(500\) 18.1051 5.91545i 0.809683 0.264547i
\(501\) 15.8838 + 11.9272i 0.709638 + 0.532867i
\(502\) 38.4679 + 9.20207i 1.71691 + 0.410708i
\(503\) 29.5143i 1.31598i −0.753028 0.657988i \(-0.771408\pi\)
0.753028 0.657988i \(-0.228592\pi\)
\(504\) 30.6416 11.6610i 1.36489 0.519421i
\(505\) 14.8693i 0.661674i
\(506\) 0.824114 3.44509i 0.0366363 0.153153i
\(507\) −0.459464 + 3.79521i −0.0204055 + 0.168551i
\(508\) −18.7059 9.49260i −0.829938 0.421166i
\(509\) 0.817265 3.05007i 0.0362246 0.135192i −0.945445 0.325781i \(-0.894373\pi\)
0.981670 + 0.190588i \(0.0610396\pi\)
\(510\) −6.23584 + 5.16680i −0.276128 + 0.228790i
\(511\) 24.8236 + 14.3319i 1.09813 + 0.634007i
\(512\) −5.44406 21.9627i −0.240596 0.970625i
\(513\) −18.4106 40.7914i −0.812849 1.80099i
\(514\) −13.4811 + 24.8775i −0.594624 + 1.09730i
\(515\) −7.79488 29.0909i −0.343484 1.28190i
\(516\) 0.392345 + 1.98315i 0.0172720 + 0.0873034i
\(517\) −2.69101 + 10.0430i −0.118351 + 0.441690i
\(518\) 0.0184077 0.0194295i 0.000808789 0.000853683i
\(519\) 24.2335 + 30.9094i 1.06373 + 1.35677i
\(520\) 9.88085 20.8471i 0.433304 0.914206i
\(521\) 10.0508 0.440334 0.220167 0.975462i \(-0.429340\pi\)
0.220167 + 0.975462i \(0.429340\pi\)
\(522\) −0.0572923 1.19664i −0.00250762 0.0523755i
\(523\) 10.1827 10.1827i 0.445258 0.445258i −0.448516 0.893775i \(-0.648047\pi\)
0.893775 + 0.448516i \(0.148047\pi\)
\(524\) 24.9664 27.8193i 1.09066 1.21529i
\(525\) 6.23020 + 4.67826i 0.271908 + 0.204176i
\(526\) 8.54327 0.230705i 0.372504 0.0100592i
\(527\) 4.49676 + 7.78861i 0.195882 + 0.339277i
\(528\) 7.80625 27.7429i 0.339723 1.20735i
\(529\) −11.3187 + 19.6046i −0.492118 + 0.852374i
\(530\) −7.68606 + 14.1836i −0.333861 + 0.616096i
\(531\) 8.68975 + 14.3517i 0.377103 + 0.622813i
\(532\) 13.7314 65.1249i 0.595334 2.82352i
\(533\) −1.04469 3.89883i −0.0452505 0.168877i
\(534\) 22.4192 + 15.9066i 0.970174 + 0.688347i
\(535\) 6.65317 + 11.5236i 0.287642 + 0.498210i
\(536\) −28.5290 5.21518i −1.23227 0.225261i
\(537\) 16.5775 + 6.66510i 0.715374 + 0.287620i
\(538\) 31.8208 + 7.61198i 1.37189 + 0.328176i
\(539\) 23.3228 + 23.3228i 1.00458 + 1.00458i
\(540\) −22.9103 + 11.8680i −0.985903 + 0.510718i
\(541\) −2.24130 + 2.24130i −0.0963612 + 0.0963612i −0.753644 0.657283i \(-0.771706\pi\)
0.657283 + 0.753644i \(0.271706\pi\)
\(542\) 9.45757 + 15.4051i 0.406237 + 0.661704i
\(543\) −2.50126 + 6.22117i −0.107339 + 0.266976i
\(544\) 2.85417 6.97106i 0.122372 0.298882i
\(545\) 19.5470 11.2854i 0.837300 0.483415i
\(546\) −30.6533 + 5.20882i −1.31184 + 0.222917i
\(547\) 31.8586 8.53649i 1.36218 0.364994i 0.497561 0.867429i \(-0.334229\pi\)
0.864615 + 0.502435i \(0.167563\pi\)
\(548\) 12.3560 + 18.9586i 0.527820 + 0.809869i
\(549\) −5.36957 2.95265i −0.229168 0.126016i
\(550\) 6.56518 1.95054i 0.279940 0.0831712i
\(551\) −2.10621 1.21602i −0.0897277 0.0518043i
\(552\) 1.57461 2.49442i 0.0670199 0.106170i
\(553\) 3.24404 1.87295i 0.137951 0.0796458i
\(554\) 11.1242 11.7417i 0.472623 0.498858i
\(555\) −0.0126478 + 0.0168435i −0.000536869 + 0.000714968i
\(556\) −8.86000 + 9.87245i −0.375748 + 0.418685i
\(557\) −13.3242 13.3242i −0.564566 0.564566i 0.366035 0.930601i \(-0.380715\pi\)
−0.930601 + 0.366035i \(0.880715\pi\)
\(558\) 8.73140 + 27.2915i 0.369630 + 1.15534i
\(559\) 1.91721i 0.0810894i
\(560\) −37.9189 5.87868i −1.60237 0.248420i
\(561\) 7.55041 5.91967i 0.318779 0.249929i
\(562\) 0.269590 + 9.98323i 0.0113720 + 0.421117i
\(563\) −25.6532 6.87376i −1.08115 0.289695i −0.326086 0.945340i \(-0.605730\pi\)
−0.755069 + 0.655646i \(0.772397\pi\)
\(564\) −4.81773 + 7.19415i −0.202863 + 0.302928i
\(565\) 22.4246 6.00865i 0.943409 0.252786i
\(566\) −39.6155 + 11.7699i −1.66516 + 0.494726i
\(567\) 30.8138 + 16.1170i 1.29406 + 0.676849i
\(568\) −22.1318 + 1.79646i −0.928631 + 0.0753777i
\(569\) −15.0997 + 26.1535i −0.633013 + 1.09641i 0.353919 + 0.935276i \(0.384849\pi\)
−0.986932 + 0.161135i \(0.948484\pi\)
\(570\) −4.88931 + 52.1507i −0.204791 + 2.18435i
\(571\) 29.4145 + 7.88159i 1.23096 + 0.329834i 0.814953 0.579528i \(-0.196763\pi\)
0.416006 + 0.909362i \(0.363430\pi\)
\(572\) −12.3687 + 24.3734i −0.517162 + 1.01910i
\(573\) −10.2611 1.24225i −0.428664 0.0518959i
\(574\) −5.72139 + 3.51251i −0.238806 + 0.146609i
\(575\) 0.700996 0.0292336
\(576\) 13.6022 19.7732i 0.566760 0.823883i
\(577\) 25.2709 1.05204 0.526021 0.850472i \(-0.323683\pi\)
0.526021 + 0.850472i \(0.323683\pi\)
\(578\) −18.3515 + 11.2665i −0.763322 + 0.468624i
\(579\) 3.74027 4.98105i 0.155440 0.207005i
\(580\) −0.634516 + 1.25036i −0.0263468 + 0.0519183i
\(581\) 2.47014 + 0.661872i 0.102479 + 0.0274591i
\(582\) −14.4586 + 6.63308i −0.599327 + 0.274950i
\(583\) 9.55629 16.5520i 0.395781 0.685513i
\(584\) 20.9140 1.69761i 0.865429 0.0702475i
\(585\) 23.4987 6.82444i 0.971552 0.282156i
\(586\) −33.7037 + 10.0135i −1.39229 + 0.413653i
\(587\) 12.7646 3.42026i 0.526851 0.141169i 0.0144172 0.999896i \(-0.495411\pi\)
0.512434 + 0.858727i \(0.328744\pi\)
\(588\) 12.1228 + 24.6468i 0.499938 + 1.01642i
\(589\) 56.1879 + 15.0555i 2.31518 + 0.620351i
\(590\) −0.530070 19.6291i −0.0218226 0.808118i
\(591\) 21.8263 + 8.77537i 0.897812 + 0.360971i
\(592\) 0.00300164 0.0193613i 0.000123367 0.000795744i
\(593\) 41.0718i 1.68662i 0.537429 + 0.843309i \(0.319396\pi\)
−0.537429 + 0.843309i \(0.680604\pi\)
\(594\) 27.5125 13.3227i 1.12885 0.546637i
\(595\) −9.03266 9.03266i −0.370303 0.370303i
\(596\) −30.3512 + 33.8195i −1.24323 + 1.38530i
\(597\) −8.05494 18.8872i −0.329667 0.773001i
\(598\) −1.92403 + 2.03083i −0.0786796 + 0.0830469i
\(599\) 28.2975 16.3376i 1.15621 0.667536i 0.205814 0.978591i \(-0.434016\pi\)
0.950392 + 0.311055i \(0.100682\pi\)
\(600\) 5.69889 + 0.225137i 0.232656 + 0.00919117i
\(601\) −6.48334 3.74316i −0.264461 0.152687i 0.361907 0.932214i \(-0.382126\pi\)
−0.626368 + 0.779528i \(0.715459\pi\)
\(602\) −3.05678 + 0.908180i −0.124585 + 0.0370147i
\(603\) −15.9324 26.3135i −0.648817 1.07157i
\(604\) −16.6074 25.4818i −0.675745 1.03684i
\(605\) −15.1188 + 4.05107i −0.614667 + 0.164699i
\(606\) 5.10296 13.7538i 0.207294 0.558708i
\(607\) −28.1639 + 16.2604i −1.14314 + 0.659991i −0.947206 0.320627i \(-0.896107\pi\)
−0.195932 + 0.980617i \(0.562773\pi\)
\(608\) −18.8289 44.9363i −0.763612 1.82241i
\(609\) 1.87089 0.266172i 0.0758125 0.0107858i
\(610\) 3.75235 + 6.11206i 0.151928 + 0.247470i
\(611\) 5.80624 5.80624i 0.234895 0.234895i
\(612\) 7.54121 2.63911i 0.304835 0.106680i
\(613\) −8.73063 8.73063i −0.352627 0.352627i 0.508459 0.861086i \(-0.330215\pi\)
−0.861086 + 0.508459i \(0.830215\pi\)
\(614\) −25.4297 6.08313i −1.02626 0.245495i
\(615\) 4.15794 3.25990i 0.167664 0.131452i
\(616\) 44.7198 + 8.17489i 1.80181 + 0.329376i
\(617\) −16.0423 27.7861i −0.645839 1.11863i −0.984107 0.177576i \(-0.943174\pi\)
0.338268 0.941050i \(-0.390159\pi\)
\(618\) −2.77356 + 29.5836i −0.111569 + 1.19003i
\(619\) −0.0603861 0.225364i −0.00242712 0.00905814i 0.964702 0.263345i \(-0.0848258\pi\)
−0.967129 + 0.254287i \(0.918159\pi\)
\(620\) 6.91900 32.8152i 0.277874 1.31789i
\(621\) 3.08772 0.505156i 0.123906 0.0202712i
\(622\) 19.4488 35.8902i 0.779827 1.43907i
\(623\) −21.6804 + 37.5516i −0.868608 + 1.50447i
\(624\) −16.2941 + 15.8921i −0.652284 + 0.636194i
\(625\) −14.7328 25.5180i −0.589312 1.02072i
\(626\) 28.1986 0.761483i 1.12704 0.0304350i
\(627\) 7.45832 61.6063i 0.297857 2.46032i
\(628\) −15.7805 + 17.5837i −0.629710 + 0.701668i
\(629\) 0.00461205 0.00461205i 0.000183895 0.000183895i
\(630\) −22.0121 34.2333i −0.876983 1.36389i
\(631\) 43.7263 1.74071 0.870357 0.492421i \(-0.163888\pi\)
0.870357 + 0.492421i \(0.163888\pi\)
\(632\) 1.17443 2.47788i 0.0467165 0.0985647i
\(633\) −28.0786 + 3.99474i −1.11603 + 0.158777i
\(634\) −12.3353 + 13.0200i −0.489896 + 0.517089i
\(635\) −6.73969 + 25.1529i −0.267456 + 0.998160i
\(636\) 11.9771 10.4818i 0.474922 0.415629i
\(637\) −6.74191 25.1611i −0.267124 0.996921i
\(638\) 0.791452 1.46052i 0.0313339 0.0578225i
\(639\) −16.9969 16.3028i −0.672389 0.644927i
\(640\) −25.2835 + 12.2377i −0.999417 + 0.483739i
\(641\) 13.8843 + 8.01611i 0.548398 + 0.316617i 0.748475 0.663163i \(-0.230786\pi\)
−0.200078 + 0.979780i \(0.564120\pi\)
\(642\) −2.19926 12.9424i −0.0867980 0.510796i
\(643\) 3.96803 14.8089i 0.156484 0.584006i −0.842490 0.538712i \(-0.818911\pi\)
0.998974 0.0452937i \(-0.0144224\pi\)
\(644\) 4.14935 + 2.10566i 0.163507 + 0.0829745i
\(645\) 2.30842 0.984485i 0.0908938 0.0387641i
\(646\) 3.77349 15.7745i 0.148466 0.620640i
\(647\) 25.9667i 1.02086i 0.859920 + 0.510428i \(0.170513\pi\)
−0.859920 + 0.510428i \(0.829487\pi\)
\(648\) 25.2645 3.11509i 0.992484 0.122372i
\(649\) 23.2639i 0.913188i
\(650\) −5.26045 1.25837i −0.206332 0.0493575i
\(651\) −41.5758 + 17.7311i −1.62949 + 0.694938i
\(652\) −7.14162 + 2.33337i −0.279688 + 0.0913820i
\(653\) −5.25185 + 19.6002i −0.205521 + 0.767014i 0.783769 + 0.621052i \(0.213294\pi\)
−0.989290 + 0.145962i \(0.953372\pi\)
\(654\) −21.9536 + 3.73050i −0.858452 + 0.145874i
\(655\) −40.1859 23.2013i −1.57019 0.906551i
\(656\) −1.98423 + 4.49617i −0.0774711 + 0.175546i
\(657\) 16.0617 + 15.4057i 0.626626 + 0.601034i
\(658\) −12.0078 6.50700i −0.468113 0.253669i
\(659\) 5.50079 + 20.5292i 0.214281 + 0.799706i 0.986419 + 0.164251i \(0.0525207\pi\)
−0.772138 + 0.635455i \(0.780813\pi\)
\(660\) −35.6981 2.37680i −1.38955 0.0925169i
\(661\) 9.82504 36.6676i 0.382150 1.42620i −0.460461 0.887680i \(-0.652316\pi\)
0.842611 0.538523i \(-0.181017\pi\)
\(662\) 27.7099 + 26.2527i 1.07698 + 1.02034i
\(663\) −7.50161 + 1.06725i −0.291338 + 0.0414486i
\(664\) 1.76309 0.629216i 0.0684213 0.0244183i
\(665\) −82.6229 −3.20398
\(666\) 0.0174794 0.0112393i 0.000677315 0.000435515i
\(667\) 0.120227 0.120227i 0.00465520 0.00465520i
\(668\) 1.23785 + 22.9028i 0.0478940 + 0.886137i
\(669\) 3.82406 31.5870i 0.147847 1.22123i
\(670\) 0.971868 + 35.9894i 0.0375465 + 1.39039i
\(671\) −4.24848 7.35858i −0.164011 0.284075i
\(672\) 33.0567 + 18.4510i 1.27519 + 0.711763i
\(673\) 13.2270 22.9098i 0.509863 0.883108i −0.490072 0.871682i \(-0.663030\pi\)
0.999935 0.0114260i \(-0.00363709\pi\)
\(674\) 2.97099 + 1.60997i 0.114438 + 0.0620139i
\(675\) 3.83081 + 4.68177i 0.147448 + 0.180202i
\(676\) −3.69823 + 2.41027i −0.142240 + 0.0927026i
\(677\) −10.2400 38.2162i −0.393556 1.46877i −0.824226 0.566260i \(-0.808390\pi\)
0.430671 0.902509i \(-0.358277\pi\)
\(678\) −22.8044 2.13799i −0.875796 0.0821089i
\(679\) −12.5462 21.7306i −0.481478 0.833944i
\(680\) −9.19862 1.68153i −0.352751 0.0644838i
\(681\) 7.59199 5.95226i 0.290926 0.228091i
\(682\) −9.24372 + 38.6421i −0.353960 + 1.47968i
\(683\) −8.25500 8.25500i −0.315869 0.315869i 0.531309 0.847178i \(-0.321700\pi\)
−0.847178 + 0.531309i \(0.821700\pi\)
\(684\) 22.4200 46.5604i 0.857252 1.78028i
\(685\) 19.8641 19.8641i 0.758968 0.758968i
\(686\) −4.32611 + 2.65591i −0.165172 + 0.101403i
\(687\) 45.8185 6.51859i 1.74809 0.248700i
\(688\) −1.46310 + 1.81891i −0.0557802 + 0.0693454i
\(689\) −13.0720 + 7.54710i −0.498002 + 0.287522i
\(690\) −3.43321 1.27380i −0.130700 0.0484927i
\(691\) −8.53034 + 2.28570i −0.324509 + 0.0869520i −0.417396 0.908725i \(-0.637057\pi\)
0.0928867 + 0.995677i \(0.470391\pi\)
\(692\) −9.35680 + 44.3771i −0.355692 + 1.68696i
\(693\) 24.9743 + 41.2469i 0.948696 + 1.56684i
\(694\) −12.9195 43.4849i −0.490418 1.65066i
\(695\) 14.2610 + 8.23362i 0.540952 + 0.312319i
\(696\) 1.01602 0.938796i 0.0385122 0.0355850i
\(697\) −1.41687 + 0.818033i −0.0536679 + 0.0309852i
\(698\) −4.51147 4.27422i −0.170762 0.161781i
\(699\) −11.4136 26.7626i −0.431703 1.01225i
\(700\) 0.485529 + 8.98329i 0.0183513 + 0.339537i
\(701\) 33.2403 + 33.2403i 1.25547 + 1.25547i 0.953233 + 0.302237i \(0.0977333\pi\)
0.302237 + 0.953233i \(0.402267\pi\)
\(702\) −24.0779 1.75202i −0.908760 0.0661259i
\(703\) 0.0421870i 0.00159111i
\(704\) 30.3349 13.6847i 1.14329 0.515761i
\(705\) 9.97249 + 4.00950i 0.375586 + 0.151006i
\(706\) 49.4991 1.33669i 1.86292 0.0503069i
\(707\) 22.3517 + 5.98913i 0.840623 + 0.225244i
\(708\) −6.24618 + 18.3384i −0.234746 + 0.689200i
\(709\) −8.42638 + 2.25784i −0.316459 + 0.0847950i −0.413553 0.910480i \(-0.635712\pi\)
0.0970932 + 0.995275i \(0.469046\pi\)
\(710\) 7.85038 + 26.4231i 0.294619 + 0.991640i
\(711\) 2.79305 0.811151i 0.104747 0.0304205i
\(712\) 2.56804 + 31.6374i 0.0962412 + 1.18566i
\(713\) −2.03336 + 3.52188i −0.0761499 + 0.131896i
\(714\) 5.25511 + 11.4549i 0.196668 + 0.428690i
\(715\) 32.7738 + 8.78170i 1.22567 + 0.328417i
\(716\) 6.40751 + 19.6111i 0.239460 + 0.732901i
\(717\) −16.2052 + 21.5810i −0.605193 + 0.805957i
\(718\) −2.81653 4.58774i −0.105112 0.171213i
\(719\) −28.3359 −1.05675 −0.528375 0.849011i \(-0.677199\pi\)
−0.528375 + 0.849011i \(0.677199\pi\)
\(720\) −27.5019 11.4582i −1.02493 0.427024i
\(721\) −46.8696 −1.74551
\(722\) −40.8292 66.5050i −1.51950 2.47506i
\(723\) −24.9162 3.01646i −0.926642 0.112183i
\(724\) −7.35960 + 2.40459i −0.273517 + 0.0893660i
\(725\) 0.317535 + 0.0850833i 0.0117930 + 0.00315991i
\(726\) 15.3748 + 1.44145i 0.570614 + 0.0534971i
\(727\) −23.7175 + 41.0800i −0.879635 + 1.52357i −0.0278935 + 0.999611i \(0.508880\pi\)
−0.851742 + 0.523962i \(0.824453\pi\)
\(728\) −27.3578 23.2500i −1.01395 0.861701i
\(729\) 20.2476 + 17.8615i 0.749912 + 0.661538i
\(730\) −7.41841 24.9691i −0.274568 0.924149i
\(731\) −0.750626 + 0.201130i −0.0277629 + 0.00743905i
\(732\) −1.37326 6.94129i −0.0507571 0.256557i
\(733\) 39.3098 + 10.5330i 1.45194 + 0.389046i 0.896698 0.442643i \(-0.145959\pi\)
0.555241 + 0.831689i \(0.312626\pi\)
\(734\) −9.30521 + 0.251281i −0.343462 + 0.00927494i
\(735\) 26.8333 21.0378i 0.989760 0.775990i
\(736\) 3.37519 0.458400i 0.124411 0.0168969i
\(737\) 42.6537i 1.57117i
\(738\) −4.96476 + 1.58838i −0.182755 + 0.0584692i
\(739\) 2.25483 + 2.25483i 0.0829451 + 0.0829451i 0.747362 0.664417i \(-0.231320\pi\)
−0.664417 + 0.747362i \(0.731320\pi\)
\(740\) −0.0242866 + 0.00131264i −0.000892793 + 4.82537e-5i
\(741\) −29.4279 + 39.1902i −1.08106 + 1.43969i
\(742\) 18.2252 + 17.2667i 0.669067 + 0.633882i
\(743\) −17.9150 + 10.3432i −0.657238 + 0.379456i −0.791224 0.611527i \(-0.790556\pi\)
0.133986 + 0.990983i \(0.457222\pi\)
\(744\) −17.6617 + 27.9788i −0.647510 + 1.02575i
\(745\) 48.8533 + 28.2054i 1.78985 + 1.03337i
\(746\) −3.52784 11.8741i −0.129163 0.434742i
\(747\) 1.73987 + 0.956727i 0.0636584 + 0.0350048i
\(748\) 10.8402 + 2.28564i 0.396358 + 0.0835713i
\(749\) 20.0023 5.35960i 0.730868 0.195836i
\(750\) 3.90797 + 22.9980i 0.142699 + 0.839767i
\(751\) −6.17369 + 3.56438i −0.225281 + 0.130066i −0.608393 0.793636i \(-0.708186\pi\)
0.383112 + 0.923702i \(0.374852\pi\)
\(752\) −9.93951 + 1.07757i −0.362457 + 0.0392949i
\(753\) −18.0708 + 44.9459i −0.658536 + 1.63792i
\(754\) −1.11803 + 0.686391i −0.0407164 + 0.0249969i
\(755\) −26.6989 + 26.6989i −0.971673 + 0.971673i
\(756\) 8.61223 + 39.2194i 0.313224 + 1.42640i
\(757\) 18.4928 + 18.4928i 0.672132 + 0.672132i 0.958207 0.286075i \(-0.0923507\pi\)
−0.286075 + 0.958207i \(0.592351\pi\)
\(758\) 8.13181 33.9939i 0.295361 1.23471i
\(759\) 4.02524 + 1.61837i 0.146107 + 0.0587432i
\(760\) −49.7611 + 34.3799i −1.80502 + 1.24709i
\(761\) −15.5559 26.9436i −0.563900 0.976704i −0.997151 0.0754303i \(-0.975967\pi\)
0.433251 0.901273i \(-0.357366\pi\)
\(762\) 14.8662 20.9529i 0.538547 0.759042i
\(763\) −9.09123 33.9289i −0.329125 1.22831i
\(764\) −6.51664 9.99891i −0.235764 0.361748i
\(765\) −5.13709 8.48426i −0.185732 0.306749i
\(766\) 10.1192 + 5.48358i 0.365622 + 0.198130i
\(767\) 9.18637 15.9113i 0.331700 0.574522i
\(768\) 27.5865 2.64266i 0.995443 0.0953587i
\(769\) −18.6655 32.3296i −0.673094 1.16583i −0.977022 0.213138i \(-0.931631\pi\)
0.303928 0.952695i \(-0.401702\pi\)
\(770\) −1.52342 56.4140i −0.0549003 2.03302i
\(771\) −27.7117 20.8087i −0.998014 0.749409i
\(772\) 7.18215 0.388181i 0.258491 0.0139709i
\(773\) 17.6571 17.6571i 0.635082