Properties

Label 96.2.n.a.61.5
Level $96$
Weight $2$
Character 96.61
Analytic conductor $0.767$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 61.5
Character \(\chi\) \(=\) 96.61
Dual form 96.2.n.a.85.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.126318 + 1.40856i) q^{2} +(-0.923880 - 0.382683i) q^{3} +(-1.96809 - 0.355853i) q^{4} +(1.36206 + 3.28830i) q^{5} +(0.655736 - 1.25300i) q^{6} +(-2.73097 + 2.73097i) q^{7} +(0.749846 - 2.72722i) q^{8} +(0.707107 + 0.707107i) q^{9} +O(q^{10})\) \(q+(-0.126318 + 1.40856i) q^{2} +(-0.923880 - 0.382683i) q^{3} +(-1.96809 - 0.355853i) q^{4} +(1.36206 + 3.28830i) q^{5} +(0.655736 - 1.25300i) q^{6} +(-2.73097 + 2.73097i) q^{7} +(0.749846 - 2.72722i) q^{8} +(0.707107 + 0.707107i) q^{9} +(-4.80383 + 1.50317i) q^{10} +(3.01609 - 1.24931i) q^{11} +(1.68210 + 1.08192i) q^{12} +(0.932498 - 2.25125i) q^{13} +(-3.50176 - 4.19170i) q^{14} -3.55923i q^{15} +(3.74674 + 1.40070i) q^{16} +0.517450i q^{17} +(-1.08532 + 0.906683i) q^{18} +(1.52739 - 3.68744i) q^{19} +(-1.51050 - 6.95636i) q^{20} +(3.56818 - 1.47799i) q^{21} +(1.37874 + 4.40616i) q^{22} +(2.39792 + 2.39792i) q^{23} +(-1.73643 + 2.23267i) q^{24} +(-5.42220 + 5.42220i) q^{25} +(3.05323 + 1.59785i) q^{26} +(-0.382683 - 0.923880i) q^{27} +(6.34660 - 4.40296i) q^{28} +(7.09056 + 2.93701i) q^{29} +(5.01340 + 0.449595i) q^{30} -1.50132 q^{31} +(-2.44625 + 5.10057i) q^{32} -3.26460 q^{33} +(-0.728859 - 0.0653632i) q^{34} +(-12.7000 - 5.26051i) q^{35} +(-1.14002 - 1.64327i) q^{36} +(-3.40814 - 8.22797i) q^{37} +(5.00104 + 2.61721i) q^{38} +(-1.72303 + 1.72303i) q^{39} +(9.98927 - 1.24892i) q^{40} +(-3.21656 - 3.21656i) q^{41} +(1.63111 + 5.21269i) q^{42} +(-1.31346 + 0.544054i) q^{43} +(-6.38051 + 1.38546i) q^{44} +(-1.36206 + 3.28830i) q^{45} +(-3.68051 + 3.07471i) q^{46} +4.67448i q^{47} +(-2.92551 - 2.72789i) q^{48} -7.91635i q^{49} +(-6.95258 - 8.32242i) q^{50} +(0.198019 - 0.478061i) q^{51} +(-2.63635 + 4.09882i) q^{52} +(-4.19534 + 1.73777i) q^{53} +(1.34968 - 0.422330i) q^{54} +(8.21621 + 8.21621i) q^{55} +(5.40014 + 9.49575i) q^{56} +(-2.82224 + 2.82224i) q^{57} +(-5.03262 + 9.61649i) q^{58} +(-0.680868 - 1.64376i) q^{59} +(-1.26656 + 7.00489i) q^{60} +(6.71487 + 2.78139i) q^{61} +(0.189643 - 2.11470i) q^{62} -3.86217 q^{63} +(-6.87546 - 4.08999i) q^{64} +8.67291 q^{65} +(0.412377 - 4.59838i) q^{66} +(11.1312 + 4.61070i) q^{67} +(0.184136 - 1.01839i) q^{68} +(-1.29774 - 3.13303i) q^{69} +(9.01398 - 17.2242i) q^{70} +(1.86620 - 1.86620i) q^{71} +(2.45866 - 1.39822i) q^{72} +(-9.06859 - 9.06859i) q^{73} +(12.0201 - 3.76123i) q^{74} +(7.08445 - 2.93447i) q^{75} +(-4.31822 + 6.71367i) q^{76} +(-4.82504 + 11.6487i) q^{77} +(-2.20935 - 2.64465i) q^{78} -10.4412i q^{79} +(0.497353 + 14.2282i) q^{80} +1.00000i q^{81} +(4.93702 - 4.12441i) q^{82} +(-1.89340 + 4.57106i) q^{83} +(-7.54843 + 1.63906i) q^{84} +(-1.70153 + 0.704798i) q^{85} +(-0.600420 - 1.91882i) q^{86} +(-5.42688 - 5.42688i) q^{87} +(-1.14553 - 9.16234i) q^{88} +(-2.70762 + 2.70762i) q^{89} +(-4.45972 - 2.33392i) q^{90} +(3.60147 + 8.69471i) q^{91} +(-3.86600 - 5.57262i) q^{92} +(1.38704 + 0.574529i) q^{93} +(-6.58429 - 0.590470i) q^{94} +14.2058 q^{95} +(4.21195 - 3.77618i) q^{96} +3.73293 q^{97} +(11.1507 + 0.999977i) q^{98} +(3.01609 + 1.24931i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q + O(q^{10}) \) \( 32q - 8q^{10} - 16q^{12} - 32q^{14} - 8q^{16} - 8q^{18} - 32q^{20} - 8q^{22} - 16q^{23} - 8q^{24} + 40q^{26} + 40q^{28} - 48q^{31} + 40q^{32} + 40q^{34} - 48q^{35} + 40q^{38} + 8q^{40} - 16q^{43} + 8q^{44} - 32q^{46} + 24q^{50} + 16q^{51} - 8q^{52} - 32q^{53} + 8q^{54} + 32q^{55} + 56q^{56} - 32q^{58} + 64q^{59} + 48q^{60} - 32q^{61} + 48q^{62} + 16q^{63} + 24q^{64} + 48q^{66} + 16q^{67} - 8q^{68} - 32q^{69} - 24q^{70} + 64q^{71} - 32q^{74} + 32q^{75} - 56q^{76} - 32q^{77} + 24q^{78} - 56q^{80} - 40q^{82} - 64q^{86} - 48q^{88} - 48q^{91} - 80q^{92} - 32q^{94} - 40q^{96} - 80q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.126318 + 1.40856i −0.0893203 + 0.996003i
\(3\) −0.923880 0.382683i −0.533402 0.220942i
\(4\) −1.96809 0.355853i −0.984044 0.177927i
\(5\) 1.36206 + 3.28830i 0.609132 + 1.47057i 0.863946 + 0.503584i \(0.167986\pi\)
−0.254814 + 0.966990i \(0.582014\pi\)
\(6\) 0.655736 1.25300i 0.267703 0.511535i
\(7\) −2.73097 + 2.73097i −1.03221 + 1.03221i −0.0327442 + 0.999464i \(0.510425\pi\)
−0.999464 + 0.0327442i \(0.989575\pi\)
\(8\) 0.749846 2.72722i 0.265110 0.964218i
\(9\) 0.707107 + 0.707107i 0.235702 + 0.235702i
\(10\) −4.80383 + 1.50317i −1.51910 + 0.475345i
\(11\) 3.01609 1.24931i 0.909387 0.376680i 0.121565 0.992583i \(-0.461209\pi\)
0.787822 + 0.615903i \(0.211209\pi\)
\(12\) 1.68210 + 1.08192i 0.485579 + 0.312323i
\(13\) 0.932498 2.25125i 0.258628 0.624384i −0.740220 0.672365i \(-0.765279\pi\)
0.998848 + 0.0479806i \(0.0152786\pi\)
\(14\) −3.50176 4.19170i −0.935885 1.12028i
\(15\) 3.55923i 0.918990i
\(16\) 3.74674 + 1.40070i 0.936684 + 0.350175i
\(17\) 0.517450i 0.125500i 0.998029 + 0.0627500i \(0.0199871\pi\)
−0.998029 + 0.0627500i \(0.980013\pi\)
\(18\) −1.08532 + 0.906683i −0.255813 + 0.213707i
\(19\) 1.52739 3.68744i 0.350407 0.845956i −0.646163 0.763199i \(-0.723627\pi\)
0.996570 0.0827570i \(-0.0263725\pi\)
\(20\) −1.51050 6.95636i −0.337758 1.55549i
\(21\) 3.56818 1.47799i 0.778640 0.322523i
\(22\) 1.37874 + 4.40616i 0.293948 + 0.939397i
\(23\) 2.39792 + 2.39792i 0.500000 + 0.500000i 0.911438 0.411438i \(-0.134973\pi\)
−0.411438 + 0.911438i \(0.634973\pi\)
\(24\) −1.73643 + 2.23267i −0.354447 + 0.455742i
\(25\) −5.42220 + 5.42220i −1.08444 + 1.08444i
\(26\) 3.05323 + 1.59785i 0.598788 + 0.313365i
\(27\) −0.382683 0.923880i −0.0736475 0.177801i
\(28\) 6.34660 4.40296i 1.19939 0.832081i
\(29\) 7.09056 + 2.93701i 1.31668 + 0.545389i 0.926828 0.375487i \(-0.122524\pi\)
0.389857 + 0.920875i \(0.372524\pi\)
\(30\) 5.01340 + 0.449595i 0.915317 + 0.0820845i
\(31\) −1.50132 −0.269644 −0.134822 0.990870i \(-0.543046\pi\)
−0.134822 + 0.990870i \(0.543046\pi\)
\(32\) −2.44625 + 5.10057i −0.432440 + 0.901663i
\(33\) −3.26460 −0.568293
\(34\) −0.728859 0.0653632i −0.124998 0.0112097i
\(35\) −12.7000 5.26051i −2.14669 0.889188i
\(36\) −1.14002 1.64327i −0.190004 0.273879i
\(37\) −3.40814 8.22797i −0.560294 1.35267i −0.909531 0.415635i \(-0.863559\pi\)
0.349237 0.937034i \(-0.386441\pi\)
\(38\) 5.00104 + 2.61721i 0.811276 + 0.424567i
\(39\) −1.72303 + 1.72303i −0.275906 + 0.275906i
\(40\) 9.98927 1.24892i 1.57944 0.197471i
\(41\) −3.21656 3.21656i −0.502342 0.502342i 0.409823 0.912165i \(-0.365590\pi\)
−0.912165 + 0.409823i \(0.865590\pi\)
\(42\) 1.63111 + 5.21269i 0.251686 + 0.804336i
\(43\) −1.31346 + 0.544054i −0.200301 + 0.0829675i −0.480579 0.876951i \(-0.659573\pi\)
0.280278 + 0.959919i \(0.409573\pi\)
\(44\) −6.38051 + 1.38546i −0.961898 + 0.208866i
\(45\) −1.36206 + 3.28830i −0.203044 + 0.490191i
\(46\) −3.68051 + 3.07471i −0.542662 + 0.453342i
\(47\) 4.67448i 0.681843i 0.940092 + 0.340921i \(0.110739\pi\)
−0.940092 + 0.340921i \(0.889261\pi\)
\(48\) −2.92551 2.72789i −0.422261 0.393737i
\(49\) 7.91635i 1.13091i
\(50\) −6.95258 8.32242i −0.983243 1.17697i
\(51\) 0.198019 0.478061i 0.0277283 0.0669419i
\(52\) −2.63635 + 4.09882i −0.365596 + 0.568405i
\(53\) −4.19534 + 1.73777i −0.576275 + 0.238701i −0.651733 0.758448i \(-0.725958\pi\)
0.0754586 + 0.997149i \(0.475958\pi\)
\(54\) 1.34968 0.422330i 0.183668 0.0574719i
\(55\) 8.21621 + 8.21621i 1.10787 + 1.10787i
\(56\) 5.40014 + 9.49575i 0.721624 + 1.26892i
\(57\) −2.82224 + 2.82224i −0.373815 + 0.373815i
\(58\) −5.03262 + 9.61649i −0.660815 + 1.26271i
\(59\) −0.680868 1.64376i −0.0886415 0.213999i 0.873342 0.487108i \(-0.161948\pi\)
−0.961983 + 0.273109i \(0.911948\pi\)
\(60\) −1.26656 + 7.00489i −0.163513 + 0.904327i
\(61\) 6.71487 + 2.78139i 0.859751 + 0.356121i 0.768610 0.639717i \(-0.220949\pi\)
0.0911409 + 0.995838i \(0.470949\pi\)
\(62\) 0.189643 2.11470i 0.0240847 0.268567i
\(63\) −3.86217 −0.486587
\(64\) −6.87546 4.08999i −0.859433 0.511249i
\(65\) 8.67291 1.07574
\(66\) 0.412377 4.59838i 0.0507601 0.566022i
\(67\) 11.1312 + 4.61070i 1.35989 + 0.563286i 0.939029 0.343837i \(-0.111727\pi\)
0.420864 + 0.907124i \(0.361727\pi\)
\(68\) 0.184136 1.01839i 0.0223298 0.123497i
\(69\) −1.29774 3.13303i −0.156230 0.377172i
\(70\) 9.01398 17.2242i 1.07738 2.05869i
\(71\) 1.86620 1.86620i 0.221477 0.221477i −0.587643 0.809120i \(-0.699944\pi\)
0.809120 + 0.587643i \(0.199944\pi\)
\(72\) 2.45866 1.39822i 0.289756 0.164781i
\(73\) −9.06859 9.06859i −1.06140 1.06140i −0.997988 0.0634101i \(-0.979802\pi\)
−0.0634101 0.997988i \(-0.520198\pi\)
\(74\) 12.0201 3.76123i 1.39731 0.437234i
\(75\) 7.08445 2.93447i 0.818042 0.338844i
\(76\) −4.31822 + 6.71367i −0.495333 + 0.770111i
\(77\) −4.82504 + 11.6487i −0.549864 + 1.32749i
\(78\) −2.20935 2.64465i −0.250159 0.299447i
\(79\) 10.4412i 1.17473i −0.809323 0.587364i \(-0.800166\pi\)
0.809323 0.587364i \(-0.199834\pi\)
\(80\) 0.497353 + 14.2282i 0.0556058 + 1.59077i
\(81\) 1.00000i 0.111111i
\(82\) 4.93702 4.12441i 0.545203 0.455464i
\(83\) −1.89340 + 4.57106i −0.207827 + 0.501739i −0.993081 0.117435i \(-0.962533\pi\)
0.785253 + 0.619175i \(0.212533\pi\)
\(84\) −7.54843 + 1.63906i −0.823602 + 0.178836i
\(85\) −1.70153 + 0.704798i −0.184557 + 0.0764460i
\(86\) −0.600420 1.91882i −0.0647449 0.206911i
\(87\) −5.42688 5.42688i −0.581823 0.581823i
\(88\) −1.14553 9.16234i −0.122114 0.976709i
\(89\) −2.70762 + 2.70762i −0.287007 + 0.287007i −0.835896 0.548888i \(-0.815051\pi\)
0.548888 + 0.835896i \(0.315051\pi\)
\(90\) −4.45972 2.33392i −0.470096 0.246016i
\(91\) 3.60147 + 8.69471i 0.377536 + 0.911453i
\(92\) −3.86600 5.57262i −0.403059 0.580985i
\(93\) 1.38704 + 0.574529i 0.143829 + 0.0595759i
\(94\) −6.58429 0.590470i −0.679117 0.0609024i
\(95\) 14.2058 1.45749
\(96\) 4.21195 3.77618i 0.429880 0.385404i
\(97\) 3.73293 0.379022 0.189511 0.981879i \(-0.439310\pi\)
0.189511 + 0.981879i \(0.439310\pi\)
\(98\) 11.1507 + 0.999977i 1.12639 + 0.101013i
\(99\) 3.01609 + 1.24931i 0.303129 + 0.125560i
\(100\) 12.6009 8.74186i 1.26009 0.874186i
\(101\) −6.36949 15.3773i −0.633788 1.53010i −0.834824 0.550517i \(-0.814431\pi\)
0.201036 0.979584i \(-0.435569\pi\)
\(102\) 0.648365 + 0.339310i 0.0641977 + 0.0335967i
\(103\) −7.42244 + 7.42244i −0.731355 + 0.731355i −0.970888 0.239533i \(-0.923006\pi\)
0.239533 + 0.970888i \(0.423006\pi\)
\(104\) −5.44043 4.23122i −0.533478 0.414905i
\(105\) 9.72015 + 9.72015i 0.948589 + 0.948589i
\(106\) −1.91781 6.12891i −0.186274 0.595292i
\(107\) 7.85343 3.25300i 0.759220 0.314479i 0.0307226 0.999528i \(-0.490219\pi\)
0.728497 + 0.685049i \(0.240219\pi\)
\(108\) 0.424389 + 1.95445i 0.0408369 + 0.188068i
\(109\) 3.33028 8.04001i 0.318983 0.770094i −0.680325 0.732910i \(-0.738161\pi\)
0.999308 0.0371832i \(-0.0118385\pi\)
\(110\) −12.6109 + 10.5352i −1.20240 + 1.00449i
\(111\) 8.90589i 0.845310i
\(112\) −14.0575 + 6.40695i −1.32831 + 0.605400i
\(113\) 17.4463i 1.64121i −0.571494 0.820606i \(-0.693636\pi\)
0.571494 0.820606i \(-0.306364\pi\)
\(114\) −3.61880 4.33180i −0.338932 0.405710i
\(115\) −4.61897 + 11.1512i −0.430721 + 1.03985i
\(116\) −12.9097 8.30349i −1.19864 0.770959i
\(117\) 2.25125 0.932498i 0.208128 0.0862095i
\(118\) 2.40134 0.751408i 0.221062 0.0691727i
\(119\) −1.41314 1.41314i −0.129542 0.129542i
\(120\) −9.70682 2.66888i −0.886107 0.243634i
\(121\) −0.242116 + 0.242116i −0.0220105 + 0.0220105i
\(122\) −4.76597 + 9.10696i −0.431490 + 0.824506i
\(123\) 1.74079 + 4.20263i 0.156962 + 0.378939i
\(124\) 2.95472 + 0.534248i 0.265342 + 0.0479769i
\(125\) −8.77369 3.63418i −0.784743 0.325051i
\(126\) 0.487861 5.44010i 0.0434621 0.484643i
\(127\) 1.84791 0.163975 0.0819876 0.996633i \(-0.473873\pi\)
0.0819876 + 0.996633i \(0.473873\pi\)
\(128\) 6.62949 9.16787i 0.585970 0.810333i
\(129\) 1.42168 0.125172
\(130\) −1.09554 + 12.2163i −0.0960856 + 1.07144i
\(131\) −7.59353 3.14534i −0.663450 0.274810i 0.0254395 0.999676i \(-0.491901\pi\)
−0.688889 + 0.724866i \(0.741901\pi\)
\(132\) 6.42501 + 1.16172i 0.559226 + 0.101114i
\(133\) 5.89902 + 14.2415i 0.511510 + 1.23490i
\(134\) −7.90052 + 15.0966i −0.682501 + 1.30415i
\(135\) 2.51676 2.51676i 0.216608 0.216608i
\(136\) 1.41120 + 0.388007i 0.121009 + 0.0332714i
\(137\) 7.98582 + 7.98582i 0.682274 + 0.682274i 0.960512 0.278238i \(-0.0897503\pi\)
−0.278238 + 0.960512i \(0.589750\pi\)
\(138\) 4.57699 1.43219i 0.389619 0.121916i
\(139\) 1.52261 0.630686i 0.129146 0.0534941i −0.317174 0.948367i \(-0.602734\pi\)
0.446321 + 0.894873i \(0.352734\pi\)
\(140\) 23.1227 + 14.8725i 1.95423 + 1.25695i
\(141\) 1.78885 4.31865i 0.150648 0.363696i
\(142\) 2.39292 + 2.86439i 0.200809 + 0.240374i
\(143\) 7.95496i 0.665227i
\(144\) 1.65890 + 3.63979i 0.138242 + 0.303316i
\(145\) 27.3163i 2.26850i
\(146\) 13.9192 11.6281i 1.15196 0.962351i
\(147\) −3.02945 + 7.31375i −0.249865 + 0.603228i
\(148\) 3.77956 + 17.4062i 0.310678 + 1.43078i
\(149\) −3.85004 + 1.59474i −0.315408 + 0.130646i −0.534771 0.844997i \(-0.679602\pi\)
0.219363 + 0.975643i \(0.429602\pi\)
\(150\) 3.23849 + 10.3496i 0.264422 + 0.845038i
\(151\) −0.409447 0.409447i −0.0333203 0.0333203i 0.690250 0.723571i \(-0.257500\pi\)
−0.723571 + 0.690250i \(0.757500\pi\)
\(152\) −8.91115 6.93053i −0.722790 0.562140i
\(153\) −0.365892 + 0.365892i −0.0295806 + 0.0295806i
\(154\) −15.7984 8.26779i −1.27307 0.666238i
\(155\) −2.04488 4.93678i −0.164249 0.396532i
\(156\) 4.00422 2.77793i 0.320595 0.222413i
\(157\) −12.1456 5.03087i −0.969324 0.401507i −0.158864 0.987301i \(-0.550783\pi\)
−0.810461 + 0.585793i \(0.800783\pi\)
\(158\) 14.7071 + 1.31891i 1.17003 + 0.104927i
\(159\) 4.54101 0.360125
\(160\) −20.1042 1.09673i −1.58937 0.0867042i
\(161\) −13.0973 −1.03221
\(162\) −1.40856 0.126318i −0.110667 0.00992448i
\(163\) −15.6056 6.46405i −1.22233 0.506304i −0.324177 0.945996i \(-0.605087\pi\)
−0.898148 + 0.439693i \(0.855087\pi\)
\(164\) 5.18584 + 7.47508i 0.404946 + 0.583706i
\(165\) −4.44658 10.7350i −0.346166 0.835718i
\(166\) −6.19945 3.24437i −0.481171 0.251812i
\(167\) −3.65825 + 3.65825i −0.283084 + 0.283084i −0.834338 0.551254i \(-0.814150\pi\)
0.551254 + 0.834338i \(0.314150\pi\)
\(168\) −1.35522 10.8395i −0.104557 0.836283i
\(169\) 4.99382 + 4.99382i 0.384140 + 0.384140i
\(170\) −0.777816 2.48574i −0.0596558 0.190648i
\(171\) 3.68744 1.52739i 0.281985 0.116802i
\(172\) 2.77862 0.603347i 0.211867 0.0460048i
\(173\) −4.69766 + 11.3412i −0.357156 + 0.862252i 0.638541 + 0.769588i \(0.279538\pi\)
−0.995697 + 0.0926640i \(0.970462\pi\)
\(174\) 8.32961 6.95858i 0.631466 0.527529i
\(175\) 29.6157i 2.23874i
\(176\) 13.0504 0.456182i 0.983712 0.0343860i
\(177\) 1.77919i 0.133732i
\(178\) −3.47183 4.15587i −0.260224 0.311496i
\(179\) 2.26551 5.46943i 0.169332 0.408804i −0.816318 0.577602i \(-0.803989\pi\)
0.985651 + 0.168798i \(0.0539885\pi\)
\(180\) 3.85081 5.98698i 0.287022 0.446243i
\(181\) −14.5765 + 6.03777i −1.08346 + 0.448784i −0.851722 0.523994i \(-0.824441\pi\)
−0.231738 + 0.972778i \(0.574441\pi\)
\(182\) −12.7020 + 3.97459i −0.941531 + 0.294616i
\(183\) −5.13934 5.13934i −0.379911 0.379911i
\(184\) 8.33772 4.74158i 0.614665 0.349554i
\(185\) 22.4140 22.4140i 1.64791 1.64791i
\(186\) −0.984466 + 1.88115i −0.0721846 + 0.137933i
\(187\) 0.646454 + 1.56068i 0.0472734 + 0.114128i
\(188\) 1.66343 9.19978i 0.121318 0.670963i
\(189\) 3.56818 + 1.47799i 0.259547 + 0.107508i
\(190\) −1.79445 + 20.0097i −0.130183 + 1.45166i
\(191\) −12.3765 −0.895535 −0.447768 0.894150i \(-0.647781\pi\)
−0.447768 + 0.894150i \(0.647781\pi\)
\(192\) 4.78693 + 6.40978i 0.345467 + 0.462586i
\(193\) 21.9343 1.57887 0.789434 0.613835i \(-0.210374\pi\)
0.789434 + 0.613835i \(0.210374\pi\)
\(194\) −0.471536 + 5.25806i −0.0338543 + 0.377507i
\(195\) −8.01273 3.31898i −0.573803 0.237677i
\(196\) −2.81706 + 15.5801i −0.201218 + 1.11286i
\(197\) 6.52756 + 15.7589i 0.465070 + 1.12278i 0.966290 + 0.257458i \(0.0828847\pi\)
−0.501220 + 0.865320i \(0.667115\pi\)
\(198\) −2.14071 + 4.09054i −0.152134 + 0.290702i
\(199\) 5.80270 5.80270i 0.411343 0.411343i −0.470863 0.882206i \(-0.656058\pi\)
0.882206 + 0.470863i \(0.156058\pi\)
\(200\) 10.7217 + 18.8534i 0.758141 + 1.33313i
\(201\) −8.51946 8.51946i −0.600916 0.600916i
\(202\) 22.4645 7.02939i 1.58059 0.494586i
\(203\) −27.3850 + 11.3432i −1.92205 + 0.796138i
\(204\) −0.559839 + 0.870400i −0.0391966 + 0.0609402i
\(205\) 6.19587 14.9582i 0.432738 1.04472i
\(206\) −9.51738 11.3926i −0.663107 0.793757i
\(207\) 3.39117i 0.235702i
\(208\) 6.64715 7.12869i 0.460897 0.494286i
\(209\) 13.0298i 0.901293i
\(210\) −14.9192 + 12.4636i −1.02953 + 0.860069i
\(211\) 7.65444 18.4794i 0.526953 1.27218i −0.406557 0.913626i \(-0.633271\pi\)
0.933510 0.358552i \(-0.116729\pi\)
\(212\) 8.87519 1.92715i 0.609551 0.132357i
\(213\) −2.43831 + 1.00998i −0.167070 + 0.0692026i
\(214\) 3.59002 + 11.4729i 0.245408 + 0.784274i
\(215\) −3.57803 3.57803i −0.244020 0.244020i
\(216\) −2.80658 + 0.350895i −0.190963 + 0.0238754i
\(217\) 4.10004 4.10004i 0.278329 0.278329i
\(218\) 10.9042 + 5.70650i 0.738524 + 0.386493i
\(219\) 4.90788 + 11.8487i 0.331644 + 0.800659i
\(220\) −13.2464 19.0940i −0.893075 1.28732i
\(221\) 1.16491 + 0.482521i 0.0783602 + 0.0324579i
\(222\) −12.5445 1.12497i −0.841931 0.0755033i
\(223\) −29.0773 −1.94716 −0.973580 0.228346i \(-0.926668\pi\)
−0.973580 + 0.228346i \(0.926668\pi\)
\(224\) −7.24886 20.6101i −0.484335 1.37707i
\(225\) −7.66815 −0.511210
\(226\) 24.5742 + 2.20379i 1.63465 + 0.146594i
\(227\) 23.2583 + 9.63391i 1.54371 + 0.639425i 0.982165 0.188022i \(-0.0602077\pi\)
0.561544 + 0.827447i \(0.310208\pi\)
\(228\) 6.55872 4.55012i 0.434362 0.301339i
\(229\) 2.92749 + 7.06760i 0.193454 + 0.467040i 0.990607 0.136737i \(-0.0436616\pi\)
−0.797153 + 0.603777i \(0.793662\pi\)
\(230\) −15.1237 7.91470i −0.997225 0.521880i
\(231\) 8.91550 8.91550i 0.586597 0.586597i
\(232\) 13.3267 17.1352i 0.874940 1.12498i
\(233\) 13.0873 + 13.0873i 0.857375 + 0.857375i 0.991028 0.133653i \(-0.0426708\pi\)
−0.133653 + 0.991028i \(0.542671\pi\)
\(234\) 1.02911 + 3.28881i 0.0672748 + 0.214996i
\(235\) −15.3711 + 6.36692i −1.00270 + 0.415332i
\(236\) 0.755070 + 3.47735i 0.0491509 + 0.226356i
\(237\) −3.99568 + 9.64642i −0.259547 + 0.626602i
\(238\) 2.16899 1.81199i 0.140595 0.117454i
\(239\) 4.10909i 0.265795i 0.991130 + 0.132897i \(0.0424281\pi\)
−0.991130 + 0.132897i \(0.957572\pi\)
\(240\) 4.98542 13.3355i 0.321808 0.860804i
\(241\) 14.2144i 0.915632i 0.889047 + 0.457816i \(0.151368\pi\)
−0.889047 + 0.457816i \(0.848632\pi\)
\(242\) −0.310451 0.371618i −0.0199566 0.0238885i
\(243\) 0.382683 0.923880i 0.0245492 0.0592669i
\(244\) −12.2257 7.86353i −0.782669 0.503411i
\(245\) 26.0314 10.7825i 1.66308 0.688871i
\(246\) −6.13956 + 1.92114i −0.391444 + 0.122487i
\(247\) −6.87706 6.87706i −0.437577 0.437577i
\(248\) −1.12576 + 4.09442i −0.0714855 + 0.259996i
\(249\) 3.49854 3.49854i 0.221711 0.221711i
\(250\) 6.22724 11.8992i 0.393845 0.752573i
\(251\) 2.36893 + 5.71910i 0.149525 + 0.360986i 0.980840 0.194816i \(-0.0624110\pi\)
−0.831314 + 0.555803i \(0.812411\pi\)
\(252\) 7.60109 + 1.37436i 0.478823 + 0.0865768i
\(253\) 10.2281 + 4.23661i 0.643034 + 0.266353i
\(254\) −0.233424 + 2.60289i −0.0146463 + 0.163320i
\(255\) 1.84172 0.115333
\(256\) 12.0761 + 10.4961i 0.754755 + 0.656007i
\(257\) −8.28191 −0.516612 −0.258306 0.966063i \(-0.583164\pi\)
−0.258306 + 0.966063i \(0.583164\pi\)
\(258\) −0.179584 + 2.00253i −0.0111804 + 0.124672i
\(259\) 31.7778 + 13.1628i 1.97458 + 0.817896i
\(260\) −17.0691 3.08628i −1.05858 0.191403i
\(261\) 2.93701 + 7.09056i 0.181796 + 0.438895i
\(262\) 5.38961 10.2986i 0.332971 0.636252i
\(263\) 15.4068 15.4068i 0.950023 0.950023i −0.0487861 0.998809i \(-0.515535\pi\)
0.998809 + 0.0487861i \(0.0155353\pi\)
\(264\) −2.44794 + 8.90328i −0.150661 + 0.547959i
\(265\) −11.4286 11.4286i −0.702055 0.702055i
\(266\) −20.8052 + 6.51018i −1.27565 + 0.399165i
\(267\) 3.53768 1.46535i 0.216502 0.0896782i
\(268\) −20.2665 13.0353i −1.23797 0.796260i
\(269\) −3.09893 + 7.48148i −0.188945 + 0.456154i −0.989757 0.142762i \(-0.954402\pi\)
0.800812 + 0.598916i \(0.204402\pi\)
\(270\) 3.22710 + 3.86292i 0.196395 + 0.235090i
\(271\) 28.7832i 1.74846i 0.485515 + 0.874228i \(0.338632\pi\)
−0.485515 + 0.874228i \(0.661368\pi\)
\(272\) −0.724792 + 1.93875i −0.0439470 + 0.117554i
\(273\) 9.41108i 0.569585i
\(274\) −12.2573 + 10.2398i −0.740488 + 0.618606i
\(275\) −9.57988 + 23.1279i −0.577688 + 1.39466i
\(276\) 1.43917 + 6.62788i 0.0866281 + 0.398952i
\(277\) −12.1515 + 5.03333i −0.730115 + 0.302424i −0.716599 0.697485i \(-0.754302\pi\)
−0.0135158 + 0.999909i \(0.504302\pi\)
\(278\) 0.696026 + 2.22436i 0.0417449 + 0.133408i
\(279\) −1.06159 1.06159i −0.0635558 0.0635558i
\(280\) −23.8696 + 30.6911i −1.42648 + 1.83414i
\(281\) −21.6306 + 21.6306i −1.29037 + 1.29037i −0.355820 + 0.934555i \(0.615798\pi\)
−0.934555 + 0.355820i \(0.884202\pi\)
\(282\) 5.85712 + 3.06522i 0.348787 + 0.182531i
\(283\) −11.4777 27.7097i −0.682281 1.64717i −0.759781 0.650179i \(-0.774694\pi\)
0.0775002 0.996992i \(-0.475306\pi\)
\(284\) −4.33693 + 3.00875i −0.257350 + 0.178536i
\(285\) −13.1245 5.43633i −0.777426 0.322020i
\(286\) 11.2050 + 1.00485i 0.662568 + 0.0594183i
\(287\) 17.5686 1.03704
\(288\) −5.33641 + 1.87689i −0.314451 + 0.110597i
\(289\) 16.7322 0.984250
\(290\) −38.4767 3.45054i −2.25943 0.202623i
\(291\) −3.44878 1.42853i −0.202171 0.0837420i
\(292\) 14.6207 + 21.0749i 0.855611 + 1.23331i
\(293\) −1.84257 4.44836i −0.107644 0.259876i 0.860874 0.508818i \(-0.169917\pi\)
−0.968519 + 0.248942i \(0.919917\pi\)
\(294\) −9.91919 5.19103i −0.578499 0.302747i
\(295\) 4.47780 4.47780i 0.260708 0.260708i
\(296\) −24.9951 + 3.12503i −1.45281 + 0.181639i
\(297\) −2.30842 2.30842i −0.133948 0.133948i
\(298\) −1.75996 5.62447i −0.101952 0.325817i
\(299\) 7.63436 3.16226i 0.441507 0.182878i
\(300\) −14.9871 + 3.25428i −0.865278 + 0.187886i
\(301\) 2.10123 5.07282i 0.121113 0.292392i
\(302\) 0.628451 0.525010i 0.0361633 0.0302110i
\(303\) 16.6443i 0.956190i
\(304\) 10.8877 11.6764i 0.624453 0.669690i
\(305\) 25.8690i 1.48125i
\(306\) −0.469163 0.561600i −0.0268202 0.0321045i
\(307\) 11.7403 28.3435i 0.670052 1.61765i −0.111467 0.993768i \(-0.535555\pi\)
0.781519 0.623881i \(-0.214445\pi\)
\(308\) 13.6413 21.2086i 0.777286 1.20847i
\(309\) 9.69789 4.01700i 0.551694 0.228519i
\(310\) 7.21207 2.25674i 0.409618 0.128174i
\(311\) 11.6121 + 11.6121i 0.658459 + 0.658459i 0.955015 0.296556i \(-0.0958382\pi\)
−0.296556 + 0.955015i \(0.595838\pi\)
\(312\) 3.40708 + 5.99110i 0.192888 + 0.339179i
\(313\) −6.84409 + 6.84409i −0.386851 + 0.386851i −0.873563 0.486712i \(-0.838196\pi\)
0.486712 + 0.873563i \(0.338196\pi\)
\(314\) 8.62050 16.4723i 0.486483 0.929587i
\(315\) −5.26051 12.7000i −0.296396 0.715563i
\(316\) −3.71554 + 20.5492i −0.209015 + 1.15598i
\(317\) −23.6795 9.80835i −1.32997 0.550892i −0.399324 0.916810i \(-0.630755\pi\)
−0.930647 + 0.365918i \(0.880755\pi\)
\(318\) −0.573611 + 6.39629i −0.0321665 + 0.358686i
\(319\) 25.0550 1.40281
\(320\) 4.08433 28.1794i 0.228321 1.57528i
\(321\) −8.50049 −0.474451
\(322\) 1.65442 18.4483i 0.0921972 1.02808i
\(323\) 1.90806 + 0.790346i 0.106167 + 0.0439760i
\(324\) 0.355853 1.96809i 0.0197696 0.109338i
\(325\) 7.15054 + 17.2629i 0.396640 + 0.957575i
\(326\) 11.0763 21.1649i 0.613458 1.17222i
\(327\) −6.15356 + 6.15356i −0.340293 + 0.340293i
\(328\) −11.1842 + 6.36034i −0.617543 + 0.351191i
\(329\) −12.7658 12.7658i −0.703803 0.703803i
\(330\) 15.6826 4.90725i 0.863297 0.270135i
\(331\) −21.7107 + 8.99285i −1.19333 + 0.494292i −0.888837 0.458224i \(-0.848486\pi\)
−0.304489 + 0.952516i \(0.598486\pi\)
\(332\) 5.35300 8.32248i 0.293784 0.456755i
\(333\) 3.40814 8.22797i 0.186765 0.450890i
\(334\) −4.69076 5.61497i −0.256667 0.307237i
\(335\) 42.8828i 2.34294i
\(336\) 15.4392 0.539684i 0.842280 0.0294422i
\(337\) 24.2394i 1.32040i −0.751088 0.660202i \(-0.770471\pi\)
0.751088 0.660202i \(-0.229529\pi\)
\(338\) −7.66490 + 6.40328i −0.416916 + 0.348293i
\(339\) −6.67642 + 16.1183i −0.362613 + 0.875426i
\(340\) 3.59957 0.781608i 0.195214 0.0423886i
\(341\) −4.52811 + 1.87561i −0.245211 + 0.101570i
\(342\) 1.68563 + 5.38692i 0.0911483 + 0.291291i
\(343\) 2.50251 + 2.50251i 0.135123 + 0.135123i
\(344\) 0.498862 + 3.99006i 0.0268968 + 0.215130i
\(345\) 8.53475 8.53475i 0.459495 0.459495i
\(346\) −15.3813 8.04953i −0.826904 0.432745i
\(347\) −1.42236 3.43389i −0.0763565 0.184341i 0.881092 0.472945i \(-0.156809\pi\)
−0.957449 + 0.288604i \(0.906809\pi\)
\(348\) 8.74941 + 12.6118i 0.469017 + 0.676061i
\(349\) 3.17452 + 1.31493i 0.169928 + 0.0703866i 0.466026 0.884771i \(-0.345685\pi\)
−0.296098 + 0.955158i \(0.595685\pi\)
\(350\) 41.7155 + 3.74099i 2.22979 + 0.199965i
\(351\) −2.43674 −0.130063
\(352\) −1.00594 + 18.4399i −0.0536169 + 0.982852i
\(353\) −7.88845 −0.419860 −0.209930 0.977716i \(-0.567324\pi\)
−0.209930 + 0.977716i \(0.567324\pi\)
\(354\) −2.50610 0.224744i −0.133198 0.0119450i
\(355\) 8.67850 + 3.59475i 0.460607 + 0.190790i
\(356\) 6.29235 4.36532i 0.333494 0.231361i
\(357\) 0.764784 + 1.84635i 0.0404767 + 0.0977193i
\(358\) 7.41785 + 3.88200i 0.392045 + 0.205170i
\(359\) −2.60336 + 2.60336i −0.137400 + 0.137400i −0.772462 0.635062i \(-0.780975\pi\)
0.635062 + 0.772462i \(0.280975\pi\)
\(360\) 7.94660 + 6.18036i 0.418822 + 0.325734i
\(361\) 2.17074 + 2.17074i 0.114250 + 0.114250i
\(362\) −6.66330 21.2945i −0.350215 1.11922i
\(363\) 0.316339 0.131032i 0.0166035 0.00687740i
\(364\) −3.99396 18.3935i −0.209340 0.964083i
\(365\) 17.4683 42.1722i 0.914333 2.20740i
\(366\) 7.88826 6.58988i 0.412326 0.344459i
\(367\) 1.41682i 0.0739575i 0.999316 + 0.0369787i \(0.0117734\pi\)
−0.999316 + 0.0369787i \(0.988227\pi\)
\(368\) 5.62560 + 12.3431i 0.293255 + 0.643430i
\(369\) 4.54890i 0.236806i
\(370\) 28.7402 + 34.4027i 1.49413 + 1.78851i
\(371\) 6.71155 16.2031i 0.348447 0.841224i
\(372\) −2.52536 1.62430i −0.130934 0.0842162i
\(373\) 30.8483 12.7778i 1.59726 0.661609i 0.606239 0.795282i \(-0.292677\pi\)
0.991025 + 0.133674i \(0.0426774\pi\)
\(374\) −2.27997 + 0.713428i −0.117894 + 0.0368905i
\(375\) 6.71510 + 6.71510i 0.346766 + 0.346766i
\(376\) 12.7483 + 3.50514i 0.657445 + 0.180764i
\(377\) 13.2239 13.2239i 0.681064 0.681064i
\(378\) −2.53256 + 4.83930i −0.130261 + 0.248907i
\(379\) −4.79982 11.5878i −0.246550 0.595224i 0.751357 0.659896i \(-0.229400\pi\)
−0.997907 + 0.0646720i \(0.979400\pi\)
\(380\) −27.9583 5.05518i −1.43423 0.259325i
\(381\) −1.70724 0.707163i −0.0874647 0.0362291i
\(382\) 1.56338 17.4331i 0.0799895 0.891956i
\(383\) −13.2502 −0.677053 −0.338527 0.940957i \(-0.609929\pi\)
−0.338527 + 0.940957i \(0.609929\pi\)
\(384\) −9.63324 + 5.93301i −0.491594 + 0.302768i
\(385\) −44.8763 −2.28711
\(386\) −2.77070 + 30.8959i −0.141025 + 1.57256i
\(387\) −1.31346 0.544054i −0.0667671 0.0276558i
\(388\) −7.34674 1.32838i −0.372974 0.0674380i
\(389\) −1.30717 3.15579i −0.0662762 0.160005i 0.887271 0.461248i \(-0.152598\pi\)
−0.953547 + 0.301243i \(0.902598\pi\)
\(390\) 5.68714 10.8672i 0.287979 0.550280i
\(391\) −1.24080 + 1.24080i −0.0627500 + 0.0627500i
\(392\) −21.5896 5.93604i −1.09044 0.299815i
\(393\) 5.81184 + 5.81184i 0.293168 + 0.293168i
\(394\) −23.0220 + 7.20383i −1.15983 + 0.362924i
\(395\) 34.3339 14.2215i 1.72752 0.715564i
\(396\) −5.49137 3.53203i −0.275952 0.177491i
\(397\) −2.75561 + 6.65262i −0.138300 + 0.333886i −0.977821 0.209441i \(-0.932836\pi\)
0.839521 + 0.543327i \(0.182836\pi\)
\(398\) 7.44047 + 8.90645i 0.372957 + 0.446440i
\(399\) 15.4149i 0.771710i
\(400\) −27.9104 + 12.7207i −1.39552 + 0.636034i
\(401\) 22.5969i 1.12844i 0.825626 + 0.564218i \(0.190822\pi\)
−0.825626 + 0.564218i \(0.809178\pi\)
\(402\) 13.0763 10.9240i 0.652188 0.544840i
\(403\) −1.39997 + 3.37984i −0.0697377 + 0.168362i
\(404\) 7.06366 + 32.5305i 0.351430 + 1.61845i
\(405\) −3.28830 + 1.36206i −0.163397 + 0.0676813i
\(406\) −12.5184 40.0062i −0.621278 1.98548i
\(407\) −20.5585 20.5585i −1.01905 1.01905i
\(408\) −1.15529 0.898515i −0.0571956 0.0444831i
\(409\) −3.48618 + 3.48618i −0.172380 + 0.172380i −0.788024 0.615644i \(-0.788896\pi\)
0.615644 + 0.788024i \(0.288896\pi\)
\(410\) 20.2868 + 10.6167i 1.00189 + 0.524324i
\(411\) −4.32189 10.4340i −0.213183 0.514670i
\(412\) 17.2493 11.9667i 0.849813 0.589558i
\(413\) 6.34848 + 2.62963i 0.312388 + 0.129395i
\(414\) −4.77666 0.428365i −0.234760 0.0210530i
\(415\) −17.6100 −0.864439
\(416\) 9.20154 + 10.2634i 0.451143 + 0.503205i
\(417\) −1.64806 −0.0807059
\(418\) 18.3533 + 1.64590i 0.897690 + 0.0805037i
\(419\) 9.10369 + 3.77087i 0.444744 + 0.184219i 0.593805 0.804609i \(-0.297625\pi\)
−0.149061 + 0.988828i \(0.547625\pi\)
\(420\) −15.6712 22.5890i −0.764674 1.10223i
\(421\) −0.766817 1.85126i −0.0373724 0.0902249i 0.904091 0.427339i \(-0.140549\pi\)
−0.941464 + 0.337114i \(0.890549\pi\)
\(422\) 25.0625 + 13.1160i 1.22002 + 0.638478i
\(423\) −3.30535 + 3.30535i −0.160712 + 0.160712i
\(424\) 1.59342 + 12.7447i 0.0773832 + 0.618937i
\(425\) −2.80572 2.80572i −0.136097 0.136097i
\(426\) −1.11462 3.56208i −0.0540033 0.172583i
\(427\) −25.9340 + 10.7422i −1.25503 + 0.519851i
\(428\) −16.6138 + 3.60752i −0.803060 + 0.174376i
\(429\) −3.04423 + 7.34942i −0.146977 + 0.354834i
\(430\) 5.49185 4.58791i 0.264840 0.221249i
\(431\) 11.5510i 0.556394i −0.960524 0.278197i \(-0.910263\pi\)
0.960524 0.278197i \(-0.0897368\pi\)
\(432\) −0.139736 3.99756i −0.00672305 0.192333i
\(433\) 3.12797i 0.150321i 0.997171 + 0.0751603i \(0.0239468\pi\)
−0.997171 + 0.0751603i \(0.976053\pi\)
\(434\) 5.25725 + 6.29307i 0.252356 + 0.302077i
\(435\) 10.4535 25.2370i 0.501207 1.21002i
\(436\) −9.41535 + 14.6384i −0.450914 + 0.701050i
\(437\) 12.5047 5.17962i 0.598182 0.247775i
\(438\) −17.3095 + 5.41635i −0.827082 + 0.258803i
\(439\) 8.10867 + 8.10867i 0.387006 + 0.387006i 0.873618 0.486612i \(-0.161768\pi\)
−0.486612 + 0.873618i \(0.661768\pi\)
\(440\) 28.5683 16.2465i 1.36194 0.774522i
\(441\) 5.59770 5.59770i 0.266557 0.266557i
\(442\) −0.826809 + 1.57989i −0.0393273 + 0.0751479i
\(443\) 9.34973 + 22.5722i 0.444219 + 1.07244i 0.974454 + 0.224588i \(0.0721037\pi\)
−0.530235 + 0.847851i \(0.677896\pi\)
\(444\) 3.16919 17.5276i 0.150403 0.831822i
\(445\) −12.5914 5.21554i −0.596891 0.247240i
\(446\) 3.67299 40.9571i 0.173921 1.93938i
\(447\) 4.16726 0.197105
\(448\) 29.9463 7.60704i 1.41483 0.359399i
\(449\) −28.6259 −1.35094 −0.675469 0.737388i \(-0.736059\pi\)
−0.675469 + 0.737388i \(0.736059\pi\)
\(450\) 0.968625 10.8011i 0.0456614 0.509167i
\(451\) −13.7199 5.68297i −0.646045 0.267601i
\(452\) −6.20833 + 34.3359i −0.292015 + 1.61503i
\(453\) 0.221591 + 0.534968i 0.0104113 + 0.0251350i
\(454\) −16.5079 + 31.5438i −0.774754 + 1.48042i
\(455\) −23.6854 + 23.6854i −1.11039 + 1.11039i
\(456\) 5.58063 + 9.81312i 0.261337 + 0.459542i
\(457\) −18.7182 18.7182i −0.875602 0.875602i 0.117474 0.993076i \(-0.462520\pi\)
−0.993076 + 0.117474i \(0.962520\pi\)
\(458\) −10.3249 + 3.23079i −0.482452 + 0.150965i
\(459\) 0.478061 0.198019i 0.0223140 0.00924275i
\(460\) 13.0587 20.3028i 0.608866 0.946625i
\(461\) 2.60820 6.29674i 0.121476 0.293268i −0.851431 0.524467i \(-0.824265\pi\)
0.972907 + 0.231198i \(0.0742647\pi\)
\(462\) 11.4318 + 13.6842i 0.531857 + 0.636647i
\(463\) 5.96406i 0.277174i 0.990350 + 0.138587i \(0.0442560\pi\)
−0.990350 + 0.138587i \(0.955744\pi\)
\(464\) 22.4526 + 20.9359i 1.04234 + 0.971927i
\(465\) 5.34354i 0.247801i
\(466\) −20.0874 + 16.7811i −0.930529 + 0.777367i
\(467\) 8.88493 21.4501i 0.411146 0.992593i −0.573685 0.819076i \(-0.694487\pi\)
0.984831 0.173518i \(-0.0555133\pi\)
\(468\) −4.76249 + 1.03412i −0.220146 + 0.0478024i
\(469\) −42.9906 + 17.8073i −1.98512 + 0.822264i
\(470\) −7.02655 22.4554i −0.324110 1.03579i
\(471\) 9.29584 + 9.29584i 0.428330 + 0.428330i
\(472\) −4.99344 + 0.624310i −0.229842 + 0.0287362i
\(473\) −3.28184 + 3.28184i −0.150899 + 0.150899i
\(474\) −13.0828 6.84667i −0.600915 0.314478i
\(475\) 11.7122 + 28.2758i 0.537394 + 1.29738i
\(476\) 2.27831 + 3.28405i 0.104426 + 0.150524i
\(477\) −4.19534 1.73777i −0.192092 0.0795669i
\(478\) −5.78790 0.519052i −0.264733 0.0237409i
\(479\) −22.6413 −1.03451 −0.517254 0.855832i \(-0.673046\pi\)
−0.517254 + 0.855832i \(0.673046\pi\)
\(480\) 18.1541 + 8.70678i 0.828619 + 0.397408i
\(481\) −21.7013 −0.989494
\(482\) −20.0219 1.79554i −0.911972 0.0817845i
\(483\) 12.1003 + 5.01210i 0.550582 + 0.228059i
\(484\) 0.562662 0.390347i 0.0255756 0.0177431i
\(485\) 5.08448 + 12.2750i 0.230874 + 0.557380i
\(486\) 1.25300 + 0.655736i 0.0568373 + 0.0297448i
\(487\) 2.79015 2.79015i 0.126434 0.126434i −0.641058 0.767492i \(-0.721504\pi\)
0.767492 + 0.641058i \(0.221504\pi\)
\(488\) 12.6206 16.2273i 0.571307 0.734576i
\(489\) 11.9440 + 11.9440i 0.540127 + 0.540127i
\(490\) 11.8996 + 38.0288i 0.537571 + 1.71796i
\(491\) 19.9243 8.25292i 0.899172 0.372449i 0.115270 0.993334i \(-0.463227\pi\)
0.783902 + 0.620885i \(0.213227\pi\)
\(492\) −1.93050 8.89061i −0.0870338 0.400820i
\(493\) −1.51975 + 3.66901i −0.0684463 + 0.165244i
\(494\) 10.5555 8.81806i 0.474912 0.396743i
\(495\) 11.6195i 0.522256i
\(496\) −5.62504 2.10289i −0.252572 0.0944227i
\(497\) 10.1930i 0.457221i
\(498\) 4.48598 + 5.36983i 0.201021 + 0.240628i
\(499\) −14.7704 + 35.6588i −0.661212 + 1.59631i 0.134695 + 0.990887i \(0.456995\pi\)
−0.795907 + 0.605419i \(0.793005\pi\)
\(500\) 15.9742 + 10.2745i 0.714386 + 0.459491i
\(501\) 4.77973 1.97983i 0.213543 0.0884523i
\(502\) −8.35494 + 2.61436i −0.372899 + 0.116684i
\(503\) −26.5194 26.5194i −1.18244 1.18244i −0.979110 0.203333i \(-0.934823\pi\)
−0.203333 0.979110i \(-0.565177\pi\)
\(504\) −2.89603 + 10.5330i −0.128999 + 0.469176i
\(505\) 41.8897 41.8897i 1.86407 1.86407i
\(506\) −7.25951 + 13.8717i −0.322725 + 0.616673i
\(507\) −2.70263 6.52473i −0.120028 0.289774i
\(508\) −3.63684 0.657583i −0.161359 0.0291755i
\(509\) 33.0361 + 13.6840i 1.46430 + 0.606534i 0.965551 0.260212i \(-0.0837926\pi\)
0.498750 + 0.866746i \(0.333793\pi\)
\(510\) −0.232643 + 2.59418i −0.0103016 + 0.114872i
\(511\) 49.5320 2.19117
\(512\) −16.3098 + 15.6840i −0.720800 + 0.693143i
\(513\) −3.99125 −0.176218
\(514\) 1.04615 11.6656i 0.0461439 0.514547i
\(515\) −34.5171 14.2974i −1.52100 0.630020i
\(516\) −2.79800 0.505910i −0.123175 0.0222715i
\(517\) 5.83986 + 14.0987i 0.256837 + 0.620059i
\(518\) −22.5547 + 43.0983i −0.990997 + 1.89363i
\(519\) 8.68014 8.68014i 0.381016 0.381016i
\(520\) 6.50335 23.6529i 0.285191 1.03725i
\(521\) −2.51581 2.51581i −0.110220 0.110220i 0.649846 0.760066i \(-0.274833\pi\)
−0.760066 + 0.649846i \(0.774833\pi\)
\(522\) −10.3585 + 3.24129i −0.453379 + 0.141867i
\(523\) 21.6449 8.96561i 0.946465 0.392039i 0.144564 0.989495i \(-0.453822\pi\)
0.801901 + 0.597457i \(0.203822\pi\)
\(524\) 13.8255 + 8.89249i 0.603968 + 0.388470i
\(525\) −11.3334 + 27.3613i −0.494632 + 1.19415i
\(526\) 19.7552 + 23.6476i 0.861370 + 1.03108i
\(527\) 0.776856i 0.0338404i
\(528\) −12.2316 4.57272i −0.532312 0.199002i
\(529\) 11.5000i 0.500000i
\(530\) 17.5415 14.6543i 0.761956 0.636541i
\(531\) 0.680868 1.64376i 0.0295472 0.0713331i
\(532\) −6.54191 30.1277i −0.283628 1.30620i
\(533\) −10.2407 + 4.24184i −0.443574 + 0.183734i
\(534\) 1.61717 + 5.16813i 0.0699817 + 0.223647i
\(535\) 21.3937 + 21.3937i 0.924930 + 0.924930i
\(536\) 20.9211 26.8999i 0.903653 1.16190i
\(537\) −4.18612 + 4.18612i −0.180644 + 0.180644i
\(538\) −10.1467 5.31008i −0.437454 0.228934i
\(539\) −9.88995 23.8764i −0.425990 1.02843i
\(540\) −5.84880 + 4.05761i −0.251692 + 0.174612i
\(541\) 9.88526 + 4.09461i 0.425001 + 0.176041i 0.584924 0.811088i \(-0.301125\pi\)
−0.159923 + 0.987130i \(0.551125\pi\)
\(542\) −40.5429 3.63584i −1.74147 0.156173i
\(543\) 15.7775 0.677075
\(544\) −2.63929 1.26581i −0.113159 0.0542712i
\(545\) 30.9741 1.32678
\(546\) 13.2561 + 1.18879i 0.567308 + 0.0508755i
\(547\) −4.92501 2.04001i −0.210578 0.0872244i 0.274901 0.961473i \(-0.411355\pi\)
−0.485479 + 0.874248i \(0.661355\pi\)
\(548\) −12.8750 18.5586i −0.549993 0.792783i
\(549\) 2.78139 + 6.71487i 0.118707 + 0.286584i
\(550\) −31.3669 16.4153i −1.33749 0.699951i
\(551\) 21.6601 21.6601i 0.922750 0.922750i
\(552\) −9.51757 + 1.18994i −0.405095 + 0.0506474i
\(553\) 28.5146 + 28.5146i 1.21256 + 1.21256i
\(554\) −5.55480 17.7520i −0.236001 0.754209i
\(555\) −29.2853 + 12.1304i −1.24309 + 0.514905i
\(556\) −3.22106 + 0.699419i −0.136603 + 0.0296620i
\(557\) −1.88066 + 4.54032i −0.0796862 + 0.192380i −0.958702 0.284414i \(-0.908201\pi\)
0.879015 + 0.476793i \(0.158201\pi\)
\(558\) 1.62941 1.36122i 0.0689786 0.0576249i
\(559\) 3.46426i 0.146523i
\(560\) −40.2151 37.4986i −1.69940 1.58461i
\(561\) 1.68926i 0.0713208i
\(562\) −27.7357 33.2004i −1.16996 1.40047i
\(563\) −4.16303 + 10.0504i −0.175451 + 0.423575i −0.987002 0.160705i \(-0.948623\pi\)
0.811552 + 0.584281i \(0.198623\pi\)
\(564\) −5.05741 + 7.86292i −0.212955 + 0.331089i
\(565\) 57.3688 23.7630i 2.41353 0.999715i
\(566\) 40.4807 12.6669i 1.70153 0.532428i
\(567\) −2.73097 2.73097i −0.114690 0.114690i
\(568\) −3.69017 6.48890i −0.154836 0.272268i
\(569\) −1.48801 + 1.48801i −0.0623805 + 0.0623805i −0.737609 0.675228i \(-0.764045\pi\)
0.675228 + 0.737609i \(0.264045\pi\)
\(570\) 9.31525 17.7999i 0.390173 0.745555i
\(571\) −10.9476 26.4299i −0.458145 1.10606i −0.969148 0.246480i \(-0.920726\pi\)
0.511003 0.859579i \(-0.329274\pi\)
\(572\) −2.83080 + 15.6561i −0.118362 + 0.654613i
\(573\) 11.4344 + 4.73630i 0.477680 + 0.197862i
\(574\) −2.21923 + 24.7464i −0.0926289 + 1.03290i
\(575\) −26.0040 −1.08444
\(576\) −1.96963 7.75375i −0.0820678 0.323073i
\(577\) 28.1723 1.17283 0.586413 0.810012i \(-0.300539\pi\)
0.586413 + 0.810012i \(0.300539\pi\)
\(578\) −2.11358 + 23.5684i −0.0879135 + 0.980316i
\(579\) −20.2647 8.39391i −0.842172 0.348839i
\(580\) 9.72059 53.7609i 0.403626 2.23230i
\(581\) −7.31261 17.6542i −0.303378 0.732420i
\(582\) 2.44782 4.67737i 0.101465 0.193883i
\(583\) −10.4825 + 10.4825i −0.434143 + 0.434143i
\(584\) −31.5321 + 17.9320i −1.30481 + 0.742031i
\(585\) 6.13268 + 6.13268i 0.253555 + 0.253555i
\(586\) 6.49854 2.03347i 0.268452 0.0840018i
\(587\) −26.4589 + 10.9597i −1.09208 + 0.452353i −0.854731 0.519072i \(-0.826278\pi\)
−0.237347 + 0.971425i \(0.576278\pi\)
\(588\) 8.56485 13.3161i 0.353209 0.549145i
\(589\) −2.29309 + 5.53601i −0.0944851 + 0.228107i
\(590\) 5.74163 + 6.87288i 0.236379 + 0.282952i
\(591\) 17.0573i 0.701645i
\(592\) −1.24447 35.6018i −0.0511476 1.46323i
\(593\) 1.34616i 0.0552802i −0.999618 0.0276401i \(-0.991201\pi\)
0.999618 0.0276401i \(-0.00879924\pi\)
\(594\) 3.54314 2.95995i 0.145377 0.121448i
\(595\) 2.72205 6.57160i 0.111593 0.269409i
\(596\) 8.14472 1.76854i 0.333621 0.0724422i
\(597\) −7.58160 + 3.14040i −0.310294 + 0.128528i
\(598\) 3.48987 + 11.1529i 0.142712 + 0.456077i
\(599\) −8.34761 8.34761i −0.341074 0.341074i 0.515697 0.856771i \(-0.327533\pi\)
−0.856771 + 0.515697i \(0.827533\pi\)
\(600\) −2.69072 21.5213i −0.109848 0.878602i
\(601\) −25.9145 + 25.9145i −1.05707 + 1.05707i −0.0588044 + 0.998270i \(0.518729\pi\)
−0.998270 + 0.0588044i \(0.981271\pi\)
\(602\) 6.87995 + 3.60050i 0.280406 + 0.146745i
\(603\) 4.61070 + 11.1312i 0.187762 + 0.453298i
\(604\) 0.660124 + 0.951530i 0.0268601 + 0.0387172i
\(605\) −1.12593 0.466374i −0.0457754 0.0189608i
\(606\) −23.4445 2.10247i −0.952368 0.0854071i
\(607\) −2.09569 −0.0850615 −0.0425307 0.999095i \(-0.513542\pi\)
−0.0425307 + 0.999095i \(0.513542\pi\)
\(608\) 15.0717 + 16.8109i 0.611237 + 0.681774i
\(609\) 29.6413 1.20112
\(610\) −36.4380 3.26771i −1.47533 0.132306i
\(611\) 10.5234 + 4.35894i 0.425732 + 0.176344i
\(612\) 0.850312 0.589904i 0.0343718 0.0238455i
\(613\) −8.75402 21.1341i −0.353572 0.853597i −0.996174 0.0873972i \(-0.972145\pi\)
0.642602 0.766200i \(-0.277855\pi\)
\(614\) 38.4405 + 20.1172i 1.55133 + 0.811863i
\(615\) −11.4485 + 11.4485i −0.461647 + 0.461647i
\(616\) 28.1504 + 21.8936i 1.13421 + 0.882120i
\(617\) 7.54724 + 7.54724i 0.303841 + 0.303841i 0.842514 0.538674i \(-0.181074\pi\)
−0.538674 + 0.842514i \(0.681074\pi\)
\(618\) 4.43317 + 14.1675i 0.178328 + 0.569900i
\(619\) 30.8044 12.7596i 1.23813 0.512851i 0.335002 0.942217i \(-0.391263\pi\)
0.903130 + 0.429366i \(0.141263\pi\)
\(620\) 2.26774 + 10.4437i 0.0910746 + 0.419429i
\(621\) 1.29774 3.13303i 0.0520766 0.125724i
\(622\) −17.8231 + 14.8895i −0.714641 + 0.597014i
\(623\) 14.7888i 0.592502i
\(624\) −8.86920 + 4.04230i −0.355052 + 0.161821i
\(625\) 4.54021i 0.181608i
\(626\) −8.77578 10.5048i −0.350751 0.419858i
\(627\) −4.98630 + 12.0380i −0.199134 + 0.480751i
\(628\) 22.1134 + 14.2232i 0.882419 + 0.567569i
\(629\) 4.25756 1.76354i 0.169760 0.0703169i
\(630\) 18.5532 5.80551i 0.739177 0.231297i
\(631\) 4.03006 + 4.03006i 0.160434 + 0.160434i 0.782759 0.622325i \(-0.213812\pi\)
−0.622325 + 0.782759i \(0.713812\pi\)
\(632\) −28.4755 7.82929i −1.13269 0.311432i
\(633\) −14.1436 + 14.1436i −0.562156 + 0.562156i
\(634\) 16.8068 32.1150i 0.667483 1.27545i
\(635\) 2.51696 + 6.07648i 0.0998825 + 0.241138i
\(636\) −8.93710 1.61593i −0.354379 0.0640759i
\(637\) −17.8217 7.38198i −0.706120 0.292485i
\(638\) −3.16490 + 35.2915i −0.125300 + 1.39721i
\(639\) 2.63920 0.104405
\(640\) 39.1765 + 9.31260i 1.54859 + 0.368113i
\(641\) 10.3489 0.408757 0.204378 0.978892i \(-0.434483\pi\)
0.204378 + 0.978892i \(0.434483\pi\)
\(642\) 1.07376 11.9735i 0.0423781 0.472555i
\(643\) −8.10100 3.35554i −0.319472 0.132330i 0.217184 0.976131i \(-0.430313\pi\)
−0.536656 + 0.843801i \(0.680313\pi\)
\(644\) 25.7765 + 4.66070i 1.01574 + 0.183657i
\(645\) 1.93642 + 4.67493i 0.0762464 + 0.184075i
\(646\) −1.35427 + 2.58779i −0.0532831 + 0.101815i
\(647\) 20.0358 20.0358i 0.787689 0.787689i −0.193426 0.981115i \(-0.561960\pi\)
0.981115 + 0.193426i \(0.0619600\pi\)
\(648\) 2.72722 + 0.749846i 0.107135 + 0.0294567i
\(649\) −4.10712 4.10712i −0.161219 0.161219i
\(650\) −25.2191 + 7.89135i −0.989175 + 0.309524i
\(651\) −5.35696 + 2.21893i −0.209956 + 0.0869666i
\(652\) 28.4129 + 18.2751i 1.11274 + 0.715709i
\(653\) 11.1811 26.9936i 0.437552 1.05634i −0.539240 0.842152i \(-0.681289\pi\)
0.976792 0.214191i \(-0.0687115\pi\)
\(654\) −7.89036 9.44497i −0.308537 0.369327i
\(655\) 29.2540i 1.14305i
\(656\) −7.54616 16.5570i −0.294628 0.646443i
\(657\) 12.8249i 0.500348i
\(658\) 19.5940 16.3689i 0.763854 0.638126i
\(659\) −10.0306 + 24.2161i −0.390738 + 0.943325i 0.599041 + 0.800718i \(0.295549\pi\)
−0.989779 + 0.142607i \(0.954451\pi\)
\(660\) 4.93118 + 22.7097i 0.191946 + 0.883975i
\(661\) −13.8010 + 5.71657i −0.536798 + 0.222349i −0.634578 0.772859i \(-0.718826\pi\)
0.0977799 + 0.995208i \(0.468826\pi\)
\(662\) −9.92453 31.7168i −0.385728 1.23271i
\(663\) −0.891582 0.891582i −0.0346262 0.0346262i
\(664\) 11.0465 + 8.59130i 0.428689 + 0.333407i
\(665\) −38.7956 + 38.7956i −1.50443 + 1.50443i
\(666\) 11.1591 + 5.83991i 0.432406 + 0.226292i
\(667\) 9.95988 + 24.0453i 0.385648 + 0.931037i
\(668\) 8.50155 5.89795i 0.328935 0.228199i
\(669\) 26.8639 + 11.1274i 1.03862 + 0.430210i
\(670\) −60.4031 5.41687i −2.33358 0.209272i
\(671\) 23.7275 0.915990
\(672\) −1.19008 + 21.8153i −0.0459082 + 0.841543i
\(673\) 31.4646 1.21287 0.606436 0.795132i \(-0.292599\pi\)
0.606436 + 0.795132i \(0.292599\pi\)
\(674\) 34.1427 + 3.06187i 1.31513 + 0.117939i
\(675\) 7.08445 + 2.93447i 0.272681 + 0.112948i
\(676\) −8.05120 11.6053i −0.309662 0.446359i
\(677\) −6.25070 15.0905i −0.240234 0.579976i 0.757072 0.653332i \(-0.226629\pi\)
−0.997306 + 0.0733553i \(0.976629\pi\)
\(678\) −21.8603 11.4402i −0.839538 0.439357i
\(679\) −10.1945 + 10.1945i −0.391229 + 0.391229i
\(680\) 0.646252 + 5.16894i 0.0247826 + 0.198220i
\(681\) −17.8011 17.8011i −0.682141 0.682141i
\(682\) −2.06992 6.61504i −0.0792614 0.253303i
\(683\) −13.3397 + 5.52548i −0.510429 + 0.211426i −0.623007 0.782216i \(-0.714089\pi\)
0.112578 + 0.993643i \(0.464089\pi\)
\(684\) −7.80073 + 1.69384i −0.298268 + 0.0647658i
\(685\) −15.3826 + 37.1370i −0.587740 + 1.41893i
\(686\) −3.84105 + 3.20882i −0.146652 + 0.122513i
\(687\) 7.64991i 0.291862i
\(688\) −5.68326 + 0.198660i −0.216672 + 0.00757386i
\(689\) 11.0652i 0.421552i
\(690\) 10.9436 + 13.0998i 0.416617 + 0.498701i
\(691\) −9.47463 + 22.8738i −0.360432 + 0.870160i 0.634805 + 0.772673i \(0.281081\pi\)
−0.995237 + 0.0974874i \(0.968919\pi\)
\(692\) 13.2812 20.6487i 0.504875 0.784946i
\(693\) −11.6487 + 4.82504i −0.442496 + 0.183288i
\(694\) 5.01651 1.56972i 0.190424 0.0595859i
\(695\) 4.14777 + 4.14777i 0.157334 + 0.157334i
\(696\) −18.8696 + 10.7310i −0.715251 + 0.406757i
\(697\) 1.66441 1.66441i 0.0630439 0.0630439i
\(698\) −2.25316 + 4.30541i −0.0852833 + 0.162962i
\(699\) −7.08278 17.0993i −0.267895 0.646756i
\(700\) −10.5388 + 58.2863i −0.398331 + 2.20301i
\(701\) −5.36748 2.22328i −0.202727 0.0839723i 0.279010 0.960288i \(-0.409994\pi\)
−0.481737 + 0.876316i \(0.659994\pi\)
\(702\) 0.307803 3.43229i 0.0116173 0.129543i
\(703\) −35.5457 −1.34063
\(704\) −25.8467 3.74623i −0.974134 0.141191i
\(705\) 16.6376 0.626607
\(706\) 0.996453 11.1114i 0.0375020 0.418181i
\(707\) 59.3898 + 24.6001i 2.23358 + 0.925180i
\(708\) 0.633132 3.50161i 0.0237945 0.131599i
\(709\) −14.4269 34.8295i −0.541812 1.30805i −0.923443 0.383735i \(-0.874638\pi\)
0.381631 0.924315i \(-0.375362\pi\)
\(710\) −6.15968 + 11.7701i −0.231169 + 0.441725i
\(711\) 7.38305 7.38305i 0.276886 0.276886i
\(712\) 5.35398 + 9.41458i 0.200649 + 0.352826i
\(713\) −3.60003 3.60003i −0.134822 0.134822i
\(714\) −2.69731 + 0.844018i −0.100944 + 0.0315866i
\(715\) 26.1583 10.8351i 0.978266 0.405211i
\(716\) −6.40504 + 9.95812i −0.239367 + 0.372152i
\(717\) 1.57248 3.79630i 0.0587254 0.141776i
\(718\) −3.33814 3.99584i −0.124578 0.149123i
\(719\) 38.6849i 1.44270i −0.692569 0.721351i \(-0.743521\pi\)
0.692569 0.721351i \(-0.256479\pi\)
\(720\) −9.70921 + 10.4126i −0.361841 + 0.388054i
\(721\) 40.5409i 1.50982i
\(722\) −3.33183 + 2.78342i −0.123998 + 0.103588i
\(723\) 5.43963 13.1324i 0.202302 0.488400i
\(724\) 30.8363 6.69578i 1.14602 0.248847i
\(725\) −54.3715 + 22.5214i −2.01931 + 0.836425i
\(726\) 0.144607 + 0.462135i 0.00536688 + 0.0171514i
\(727\) −31.8871 31.8871i −1.18263 1.18263i −0.979061 0.203566i \(-0.934747\pi\)
−0.203566 0.979061i \(-0.565253\pi\)
\(728\) 26.4129 3.30230i 0.978928 0.122391i
\(729\) −0.707107 + 0.707107i −0.0261891 + 0.0261891i
\(730\) 57.1956 + 29.9323i 2.11690 + 1.10784i
\(731\) −0.281521 0.679651i −0.0104124 0.0251378i
\(732\) 8.28582 + 11.9435i 0.306253 + 0.441445i
\(733\) −18.4333 7.63532i −0.680849 0.282017i 0.0153326 0.999882i \(-0.495119\pi\)
−0.696182 + 0.717865i \(0.745119\pi\)
\(734\) −1.99568 0.178970i −0.0736619 0.00660590i
\(735\) −28.1761 −1.03929
\(736\) −18.0967 + 6.36484i −0.667052 + 0.234611i
\(737\) 39.3330 1.44885
\(738\) 6.40740 + 0.574607i 0.235860 + 0.0211516i
\(739\) −19.0069 7.87292i −0.699180 0.289610i 0.00463865 0.999989i \(-0.498523\pi\)
−0.703819 + 0.710379i \(0.748523\pi\)
\(740\) −52.0888 + 36.1366i −1.91482 + 1.32841i
\(741\) 3.72184 + 8.98531i 0.136725 + 0.330084i
\(742\) 21.9753 + 11.5004i 0.806739 + 0.422192i
\(743\) −17.5266 + 17.5266i −0.642987 + 0.642987i −0.951289 0.308302i \(-0.900239\pi\)
0.308302 + 0.951289i \(0.400239\pi\)
\(744\) 2.60693 3.35194i 0.0955747 0.122888i
\(745\) −10.4880 10.4880i −0.384250 0.384250i
\(746\) 14.1016 + 45.0658i 0.516296 + 1.64998i
\(747\) −4.57106 + 1.89340i −0.167246 + 0.0692757i
\(748\) −0.716906 3.30159i −0.0262127 0.120718i
\(749\) −12.5636 + 30.3313i −0.459065 + 1.10828i
\(750\) −10.3069 + 8.61038i −0.376353 + 0.314407i
\(751\) 40.4908i 1.47753i 0.673963 + 0.738765i \(0.264591\pi\)
−0.673963 + 0.738765i \(0.735409\pi\)
\(752\) −6.54754 + 17.5140i −0.238764 + 0.638671i
\(753\) 6.19031i 0.225587i
\(754\) 16.9562 + 20.2970i 0.617509 + 0.739175i
\(755\) 0.788695 1.90408i 0.0287035 0.0692965i
\(756\) −6.49654 4.17856i −0.236277 0.151973i
\(757\) −29.7102 + 12.3064i −1.07984 + 0.447283i −0.850452 0.526053i \(-0.823671\pi\)
−0.229385 + 0.973336i \(0.573671\pi\)
\(758\) 16.9284 5.29709i 0.614867 0.192399i
\(759\) −7.82823 7.82823i −0.284147 0.284147i
\(760\) 10.6522 38.7424i 0.386395 1.40533i
\(761\) −15.8052 + 15.8052i −0.572939 + 0.572939i −0.932949 0.360010i \(-0.882773\pi\)
0.360010 + 0.932949i \(0.382773\pi\)
\(762\) 1.21174 2.31543i 0.0438966 0.0838791i
\(763\) 12.8621 + 31.0519i 0.465640 + 1.12415i
\(764\) 24.3581 + 4.40423i 0.881246 + 0.159339i
\(765\) −1.70153 0.704798i −0.0615190 0.0254820i
\(766\) 1.67374 18.6637i 0.0604746 0.674347i
\(767\) −4.33542 −0.156543
\(768\) −7.14015 14.3185i −0.257648 0.516673i
\(769\) 2.99003 0.107823 0.0539116 0.998546i \(-0.482831\pi\)
0.0539116 + 0.998546i \(0.482831\pi\)
\(770\) 5.66869 63.2111i 0.204285 2.27797i
\(771\) 7.65149 + 3.16935i 0.275562 + 0.114141i
\(772\) −43.1687 7.80540i −1.55368 0.280923i
\(773\) 1.59236 + 3.84429i 0.0572731 + 0.138269i 0.949926 0.312476i \(-0.101158\pi\)
−0.892653 + 0.450745i \(0.851158\pi\)
\(774\) 0.932248 1.78137