Properties

Label 224.2.u.c.29.11
Level $224$
Weight $2$
Character 224.29
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 29.11
Character \(\chi\) \(=\) 224.29
Dual form 224.2.u.c.85.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.875361 + 1.11074i) q^{2} +(0.999166 + 0.413868i) q^{3} +(-0.467486 + 1.94460i) q^{4} +(0.523077 + 1.26282i) q^{5} +(0.414931 + 1.47210i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-2.56916 + 1.18297i) q^{8} +(-1.29427 - 1.29427i) q^{9} +O(q^{10})\) \(q+(0.875361 + 1.11074i) q^{2} +(0.999166 + 0.413868i) q^{3} +(-0.467486 + 1.94460i) q^{4} +(0.523077 + 1.26282i) q^{5} +(0.414931 + 1.47210i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-2.56916 + 1.18297i) q^{8} +(-1.29427 - 1.29427i) q^{9} +(-0.944783 + 1.68643i) q^{10} +(0.904574 - 0.374687i) q^{11} +(-1.27190 + 1.74950i) q^{12} +(0.430806 - 1.04006i) q^{13} +(1.40439 + 0.166438i) q^{14} +1.47825i q^{15} +(-3.56291 - 1.81814i) q^{16} -3.31157i q^{17} +(0.304644 - 2.57056i) q^{18} +(-1.25398 + 3.02738i) q^{19} +(-2.70021 + 0.426824i) q^{20} +(0.999166 - 0.413868i) q^{21} +(1.20801 + 0.676760i) q^{22} +(2.85663 + 2.85663i) q^{23} +(-3.05661 + 0.118690i) q^{24} +(2.21443 - 2.21443i) q^{25} +(1.53235 - 0.431913i) q^{26} +(-1.99914 - 4.82635i) q^{27} +(1.04448 + 1.70560i) q^{28} +(7.03942 + 2.91582i) q^{29} +(-1.64195 + 1.29400i) q^{30} -5.90990 q^{31} +(-1.09935 - 5.54900i) q^{32} +1.05889 q^{33} +(3.67830 - 2.89882i) q^{34} +(1.26282 + 0.523077i) q^{35} +(3.12190 - 1.91179i) q^{36} +(-1.70363 - 4.11292i) q^{37} +(-4.46033 + 1.25721i) q^{38} +(0.860894 - 0.860894i) q^{39} +(-2.83775 - 2.62560i) q^{40} +(-7.31644 - 7.31644i) q^{41} +(1.33433 + 0.747529i) q^{42} +(0.902235 - 0.373718i) q^{43} +(0.305739 + 1.93419i) q^{44} +(0.957430 - 2.31144i) q^{45} +(-0.672390 + 5.67356i) q^{46} +10.7312i q^{47} +(-2.80747 - 3.29120i) q^{48} -1.00000i q^{49} +(4.39808 + 0.521229i) q^{50} +(1.37055 - 3.30881i) q^{51} +(1.82110 + 1.32396i) q^{52} +(5.29777 - 2.19441i) q^{53} +(3.61085 - 6.44533i) q^{54} +(0.946323 + 0.946323i) q^{55} +(-0.980184 + 2.65316i) q^{56} +(-2.50588 + 2.50588i) q^{57} +(2.92332 + 10.3714i) q^{58} +(-0.563137 - 1.35953i) q^{59} +(-2.87460 - 0.691061i) q^{60} +(-0.0893244 - 0.0369994i) q^{61} +(-5.17330 - 6.56436i) q^{62} -1.83038 q^{63} +(5.20116 - 6.07848i) q^{64} +1.53875 q^{65} +(0.926911 + 1.17615i) q^{66} +(-4.92908 - 2.04169i) q^{67} +(6.43968 + 1.54811i) q^{68} +(1.67198 + 4.03652i) q^{69} +(0.524421 + 1.86055i) q^{70} +(0.553232 - 0.553232i) q^{71} +(4.85628 + 1.79411i) q^{72} +(-6.76325 - 6.76325i) q^{73} +(3.07709 - 5.49257i) q^{74} +(3.12907 - 1.29610i) q^{75} +(-5.30082 - 3.85375i) q^{76} +(0.374687 - 0.904574i) q^{77} +(1.70982 + 0.202636i) q^{78} +11.8884i q^{79} +(0.432307 - 5.45035i) q^{80} -0.158568i q^{81} +(1.72213 - 14.5312i) q^{82} +(-2.47245 + 5.96903i) q^{83} +(0.337711 + 2.13645i) q^{84} +(4.18192 - 1.73221i) q^{85} +(1.20489 + 0.675010i) q^{86} +(5.82679 + 5.82679i) q^{87} +(-1.88075 + 2.03271i) q^{88} +(-2.11160 + 2.11160i) q^{89} +(3.40551 - 0.959890i) q^{90} +(-0.430806 - 1.04006i) q^{91} +(-6.89043 + 4.21956i) q^{92} +(-5.90497 - 2.44592i) q^{93} +(-11.9195 + 9.39364i) q^{94} -4.47897 q^{95} +(1.19812 - 5.99936i) q^{96} -6.12164 q^{97} +(1.11074 - 0.875361i) q^{98} +(-1.65571 - 0.685819i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.875361 + 1.11074i 0.618974 + 0.785412i
\(3\) 0.999166 + 0.413868i 0.576869 + 0.238947i 0.651990 0.758228i \(-0.273934\pi\)
−0.0751212 + 0.997174i \(0.523934\pi\)
\(4\) −0.467486 + 1.94460i −0.233743 + 0.972298i
\(5\) 0.523077 + 1.26282i 0.233927 + 0.564750i 0.996633 0.0819958i \(-0.0261294\pi\)
−0.762705 + 0.646746i \(0.776129\pi\)
\(6\) 0.414931 + 1.47210i 0.169395 + 0.600981i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) −2.56916 + 1.18297i −0.908335 + 0.418243i
\(9\) −1.29427 1.29427i −0.431425 0.431425i
\(10\) −0.944783 + 1.68643i −0.298767 + 0.533295i
\(11\) 0.904574 0.374687i 0.272739 0.112972i −0.242122 0.970246i \(-0.577843\pi\)
0.514861 + 0.857274i \(0.327843\pi\)
\(12\) −1.27190 + 1.74950i −0.367167 + 0.505037i
\(13\) 0.430806 1.04006i 0.119484 0.288460i −0.852810 0.522222i \(-0.825103\pi\)
0.972294 + 0.233761i \(0.0751034\pi\)
\(14\) 1.40439 + 0.166438i 0.375338 + 0.0444824i
\(15\) 1.47825i 0.381683i
\(16\) −3.56291 1.81814i −0.890729 0.454536i
\(17\) 3.31157i 0.803175i −0.915821 0.401587i \(-0.868459\pi\)
0.915821 0.401587i \(-0.131541\pi\)
\(18\) 0.304644 2.57056i 0.0718054 0.605887i
\(19\) −1.25398 + 3.02738i −0.287684 + 0.694530i −0.999973 0.00735628i \(-0.997658\pi\)
0.712289 + 0.701886i \(0.247658\pi\)
\(20\) −2.70021 + 0.426824i −0.603785 + 0.0954408i
\(21\) 0.999166 0.413868i 0.218036 0.0903134i
\(22\) 1.20801 + 0.676760i 0.257548 + 0.144286i
\(23\) 2.85663 + 2.85663i 0.595649 + 0.595649i 0.939152 0.343503i \(-0.111614\pi\)
−0.343503 + 0.939152i \(0.611614\pi\)
\(24\) −3.05661 + 0.118690i −0.623928 + 0.0242275i
\(25\) 2.21443 2.21443i 0.442886 0.442886i
\(26\) 1.53235 0.431913i 0.300518 0.0847051i
\(27\) −1.99914 4.82635i −0.384735 0.928832i
\(28\) 1.04448 + 1.70560i 0.197387 + 0.322328i
\(29\) 7.03942 + 2.91582i 1.30719 + 0.541455i 0.924063 0.382241i \(-0.124848\pi\)
0.383126 + 0.923696i \(0.374848\pi\)
\(30\) −1.64195 + 1.29400i −0.299778 + 0.236252i
\(31\) −5.90990 −1.06145 −0.530725 0.847544i \(-0.678080\pi\)
−0.530725 + 0.847544i \(0.678080\pi\)
\(32\) −1.09935 5.54900i −0.194340 0.980934i
\(33\) 1.05889 0.184329
\(34\) 3.67830 2.89882i 0.630823 0.497144i
\(35\) 1.26282 + 0.523077i 0.213455 + 0.0884162i
\(36\) 3.12190 1.91179i 0.520316 0.318631i
\(37\) −1.70363 4.11292i −0.280074 0.676159i 0.719763 0.694220i \(-0.244251\pi\)
−0.999837 + 0.0180612i \(0.994251\pi\)
\(38\) −4.46033 + 1.25721i −0.723560 + 0.203946i
\(39\) 0.860894 0.860894i 0.137853 0.137853i
\(40\) −2.83775 2.62560i −0.448687 0.415144i
\(41\) −7.31644 7.31644i −1.14264 1.14264i −0.987966 0.154670i \(-0.950568\pi\)
−0.154670 0.987966i \(-0.549432\pi\)
\(42\) 1.33433 + 0.747529i 0.205892 + 0.115346i
\(43\) 0.902235 0.373718i 0.137590 0.0569915i −0.312826 0.949810i \(-0.601276\pi\)
0.450416 + 0.892819i \(0.351276\pi\)
\(44\) 0.305739 + 1.93419i 0.0460919 + 0.291590i
\(45\) 0.957430 2.31144i 0.142725 0.344569i
\(46\) −0.672390 + 5.67356i −0.0991385 + 0.836520i
\(47\) 10.7312i 1.56530i 0.622462 + 0.782650i \(0.286133\pi\)
−0.622462 + 0.782650i \(0.713867\pi\)
\(48\) −2.80747 3.29120i −0.405224 0.475044i
\(49\) 1.00000i 0.142857i
\(50\) 4.39808 + 0.521229i 0.621983 + 0.0737130i
\(51\) 1.37055 3.30881i 0.191916 0.463326i
\(52\) 1.82110 + 1.32396i 0.252541 + 0.183600i
\(53\) 5.29777 2.19441i 0.727704 0.301425i 0.0120961 0.999927i \(-0.496150\pi\)
0.715608 + 0.698502i \(0.246150\pi\)
\(54\) 3.61085 6.44533i 0.491375 0.877098i
\(55\) 0.946323 + 0.946323i 0.127602 + 0.127602i
\(56\) −0.980184 + 2.65316i −0.130983 + 0.354543i
\(57\) −2.50588 + 2.50588i −0.331911 + 0.331911i
\(58\) 2.92332 + 10.3714i 0.383850 + 1.36183i
\(59\) −0.563137 1.35953i −0.0733142 0.176996i 0.882974 0.469422i \(-0.155538\pi\)
−0.956288 + 0.292426i \(0.905538\pi\)
\(60\) −2.87460 0.691061i −0.371110 0.0892156i
\(61\) −0.0893244 0.0369994i −0.0114368 0.00473729i 0.376958 0.926230i \(-0.376970\pi\)
−0.388395 + 0.921493i \(0.626970\pi\)
\(62\) −5.17330 6.56436i −0.657009 0.833674i
\(63\) −1.83038 −0.230606
\(64\) 5.20116 6.07848i 0.650146 0.759810i
\(65\) 1.53875 0.190859
\(66\) 0.926911 + 1.17615i 0.114095 + 0.144774i
\(67\) −4.92908 2.04169i −0.602184 0.249433i 0.0606989 0.998156i \(-0.480667\pi\)
−0.662882 + 0.748724i \(0.730667\pi\)
\(68\) 6.43968 + 1.54811i 0.780925 + 0.187736i
\(69\) 1.67198 + 4.03652i 0.201283 + 0.485940i
\(70\) 0.524421 + 1.86055i 0.0626803 + 0.222378i
\(71\) 0.553232 0.553232i 0.0656565 0.0656565i −0.673516 0.739173i \(-0.735217\pi\)
0.739173 + 0.673516i \(0.235217\pi\)
\(72\) 4.85628 + 1.79411i 0.572319 + 0.211438i
\(73\) −6.76325 6.76325i −0.791579 0.791579i 0.190172 0.981751i \(-0.439095\pi\)
−0.981751 + 0.190172i \(0.939095\pi\)
\(74\) 3.07709 5.49257i 0.357705 0.638498i
\(75\) 3.12907 1.29610i 0.361313 0.149661i
\(76\) −5.30082 3.85375i −0.608046 0.442056i
\(77\) 0.374687 0.904574i 0.0426995 0.103086i
\(78\) 1.70982 + 0.202636i 0.193599 + 0.0229440i
\(79\) 11.8884i 1.33755i 0.743466 + 0.668773i \(0.233180\pi\)
−0.743466 + 0.668773i \(0.766820\pi\)
\(80\) 0.432307 5.45035i 0.0483334 0.609367i
\(81\) 0.158568i 0.0176187i
\(82\) 1.72213 14.5312i 0.190178 1.60470i
\(83\) −2.47245 + 5.96903i −0.271387 + 0.655187i −0.999543 0.0302249i \(-0.990378\pi\)
0.728156 + 0.685411i \(0.240378\pi\)
\(84\) 0.337711 + 2.13645i 0.0368473 + 0.233106i
\(85\) 4.18192 1.73221i 0.453593 0.187884i
\(86\) 1.20489 + 0.675010i 0.129926 + 0.0727882i
\(87\) 5.82679 + 5.82679i 0.624697 + 0.624697i
\(88\) −1.88075 + 2.03271i −0.200489 + 0.216688i
\(89\) −2.11160 + 2.11160i −0.223829 + 0.223829i −0.810109 0.586280i \(-0.800592\pi\)
0.586280 + 0.810109i \(0.300592\pi\)
\(90\) 3.40551 0.959890i 0.358972 0.101181i
\(91\) −0.430806 1.04006i −0.0451608 0.109028i
\(92\) −6.89043 + 4.21956i −0.718377 + 0.439920i
\(93\) −5.90497 2.44592i −0.612317 0.253630i
\(94\) −11.9195 + 9.39364i −1.22940 + 0.968880i
\(95\) −4.47897 −0.459533
\(96\) 1.19812 5.99936i 0.122282 0.612307i
\(97\) −6.12164 −0.621559 −0.310779 0.950482i \(-0.600590\pi\)
−0.310779 + 0.950482i \(0.600590\pi\)
\(98\) 1.11074 0.875361i 0.112202 0.0884248i
\(99\) −1.65571 0.685819i −0.166405 0.0689274i
\(100\) 3.27096 + 5.34139i 0.327096 + 0.534139i
\(101\) −2.52035 6.08466i −0.250784 0.605446i 0.747484 0.664280i \(-0.231262\pi\)
−0.998268 + 0.0588340i \(0.981262\pi\)
\(102\) 4.87496 1.37408i 0.482693 0.136054i
\(103\) −8.52867 + 8.52867i −0.840355 + 0.840355i −0.988905 0.148550i \(-0.952539\pi\)
0.148550 + 0.988905i \(0.452539\pi\)
\(104\) 0.123547 + 3.18171i 0.0121148 + 0.311992i
\(105\) 1.04528 + 1.04528i 0.102009 + 0.102009i
\(106\) 7.07488 + 3.96354i 0.687173 + 0.384973i
\(107\) 10.9686 4.54336i 1.06038 0.439223i 0.216792 0.976218i \(-0.430441\pi\)
0.843585 + 0.536995i \(0.180441\pi\)
\(108\) 10.3199 1.63127i 0.993031 0.156969i
\(109\) −4.93652 + 11.9178i −0.472833 + 1.14152i 0.490073 + 0.871681i \(0.336970\pi\)
−0.962906 + 0.269837i \(0.913030\pi\)
\(110\) −0.222744 + 1.87949i −0.0212378 + 0.179203i
\(111\) 4.81456i 0.456978i
\(112\) −3.80498 + 1.23374i −0.359537 + 0.116578i
\(113\) 15.8912i 1.49492i 0.664305 + 0.747461i \(0.268727\pi\)
−0.664305 + 0.747461i \(0.731273\pi\)
\(114\) −4.97692 0.589830i −0.466132 0.0552426i
\(115\) −2.11317 + 5.10165i −0.197054 + 0.475731i
\(116\) −8.96093 + 12.3257i −0.832002 + 1.14442i
\(117\) −1.90370 + 0.788539i −0.175997 + 0.0729005i
\(118\) 1.01714 1.81558i 0.0936353 0.167138i
\(119\) −2.34164 2.34164i −0.214657 0.214657i
\(120\) −1.74873 3.79786i −0.159636 0.346696i
\(121\) −7.10031 + 7.10031i −0.645483 + 0.645483i
\(122\) −0.0370944 0.131604i −0.00335837 0.0119149i
\(123\) −4.28230 10.3384i −0.386122 0.932181i
\(124\) 2.76279 11.4924i 0.248106 1.03205i
\(125\) 10.2688 + 4.25349i 0.918473 + 0.380444i
\(126\) −1.60224 2.03308i −0.142739 0.181121i
\(127\) −17.0952 −1.51695 −0.758476 0.651702i \(-0.774055\pi\)
−0.758476 + 0.651702i \(0.774055\pi\)
\(128\) 11.3045 + 0.456277i 0.999186 + 0.0403296i
\(129\) 1.05615 0.0929891
\(130\) 1.34696 + 1.70915i 0.118136 + 0.149903i
\(131\) 16.1070 + 6.67174i 1.40728 + 0.582913i 0.951629 0.307248i \(-0.0994082\pi\)
0.455646 + 0.890161i \(0.349408\pi\)
\(132\) −0.495016 + 2.05911i −0.0430856 + 0.179223i
\(133\) 1.25398 + 3.02738i 0.108734 + 0.262508i
\(134\) −2.04694 7.26215i −0.176829 0.627354i
\(135\) 5.04911 5.04911i 0.434558 0.434558i
\(136\) 3.91749 + 8.50796i 0.335922 + 0.729552i
\(137\) −10.0821 10.0821i −0.861372 0.861372i 0.130126 0.991497i \(-0.458462\pi\)
−0.991497 + 0.130126i \(0.958462\pi\)
\(138\) −3.01993 + 5.39055i −0.257074 + 0.458874i
\(139\) −10.0075 + 4.14525i −0.848826 + 0.351595i −0.764327 0.644828i \(-0.776929\pi\)
−0.0844986 + 0.996424i \(0.526929\pi\)
\(140\) −1.60752 + 2.21114i −0.135861 + 0.186876i
\(141\) −4.44128 + 10.7222i −0.374024 + 0.902973i
\(142\) 1.09877 + 0.130219i 0.0922070 + 0.0109277i
\(143\) 1.10223i 0.0921728i
\(144\) 2.25821 + 6.96456i 0.188184 + 0.580380i
\(145\) 10.4147i 0.864896i
\(146\) 1.59192 13.4325i 0.131749 1.11168i
\(147\) 0.413868 0.999166i 0.0341353 0.0824098i
\(148\) 8.79438 1.39014i 0.722894 0.114268i
\(149\) 17.8291 7.38504i 1.46061 0.605006i 0.495917 0.868370i \(-0.334832\pi\)
0.964697 + 0.263364i \(0.0848320\pi\)
\(150\) 4.17869 + 2.34102i 0.341189 + 0.191144i
\(151\) −6.37361 6.37361i −0.518677 0.518677i 0.398494 0.917171i \(-0.369533\pi\)
−0.917171 + 0.398494i \(0.869533\pi\)
\(152\) −0.359620 9.26126i −0.0291690 0.751187i
\(153\) −4.28608 + 4.28608i −0.346509 + 0.346509i
\(154\) 1.33273 0.375649i 0.107395 0.0302707i
\(155\) −3.09133 7.46314i −0.248302 0.599454i
\(156\) 1.27164 + 2.07655i 0.101812 + 0.166257i
\(157\) −0.751603 0.311324i −0.0599844 0.0248464i 0.352490 0.935816i \(-0.385335\pi\)
−0.412474 + 0.910969i \(0.635335\pi\)
\(158\) −13.2049 + 10.4066i −1.05052 + 0.827906i
\(159\) 6.20155 0.491815
\(160\) 6.43234 4.29084i 0.508521 0.339221i
\(161\) 4.03989 0.318388
\(162\) 0.176128 0.138804i 0.0138379 0.0109055i
\(163\) 1.04167 + 0.431475i 0.0815901 + 0.0337957i 0.423105 0.906081i \(-0.360940\pi\)
−0.341515 + 0.939876i \(0.610940\pi\)
\(164\) 17.6479 10.8072i 1.37807 0.843901i
\(165\) 0.553881 + 1.33719i 0.0431196 + 0.104100i
\(166\) −8.79433 + 2.47881i −0.682573 + 0.192393i
\(167\) 7.60002 7.60002i 0.588107 0.588107i −0.349011 0.937118i \(-0.613483\pi\)
0.937118 + 0.349011i \(0.113483\pi\)
\(168\) −2.07742 + 2.24528i −0.160277 + 0.173227i
\(169\) 8.29626 + 8.29626i 0.638174 + 0.638174i
\(170\) 5.58472 + 3.12872i 0.428329 + 0.239962i
\(171\) 5.54126 2.29527i 0.423751 0.175523i
\(172\) 0.304949 + 1.92919i 0.0232521 + 0.147099i
\(173\) −8.40483 + 20.2911i −0.639008 + 1.54270i 0.188996 + 0.981978i \(0.439477\pi\)
−0.828003 + 0.560723i \(0.810523\pi\)
\(174\) −1.37150 + 11.5726i −0.103973 + 0.877316i
\(175\) 3.13168i 0.236733i
\(176\) −3.90415 0.309667i −0.294286 0.0233420i
\(177\) 1.59146i 0.119622i
\(178\) −4.19385 0.497025i −0.314342 0.0372536i
\(179\) 7.93735 19.1624i 0.593265 1.43227i −0.287067 0.957911i \(-0.592680\pi\)
0.880332 0.474358i \(-0.157320\pi\)
\(180\) 4.04723 + 2.94238i 0.301663 + 0.219312i
\(181\) −0.349364 + 0.144711i −0.0259680 + 0.0107563i −0.395630 0.918410i \(-0.629474\pi\)
0.369662 + 0.929166i \(0.379474\pi\)
\(182\) 0.778123 1.38894i 0.0576783 0.102955i
\(183\) −0.0739371 0.0739371i −0.00546559 0.00546559i
\(184\) −10.7185 3.95983i −0.790175 0.291923i
\(185\) 4.30274 4.30274i 0.316344 0.316344i
\(186\) −2.45220 8.69995i −0.179804 0.637911i
\(187\) −1.24080 2.99556i −0.0907365 0.219057i
\(188\) −20.8678 5.01666i −1.52194 0.365878i
\(189\) −4.82635 1.99914i −0.351065 0.145416i
\(190\) −3.92072 4.97497i −0.284439 0.360922i
\(191\) −7.61375 −0.550912 −0.275456 0.961314i \(-0.588829\pi\)
−0.275456 + 0.961314i \(0.588829\pi\)
\(192\) 7.71252 3.92081i 0.556603 0.282960i
\(193\) 23.7442 1.70914 0.854571 0.519334i \(-0.173820\pi\)
0.854571 + 0.519334i \(0.173820\pi\)
\(194\) −5.35865 6.79955i −0.384728 0.488179i
\(195\) 1.53747 + 0.636840i 0.110100 + 0.0456051i
\(196\) 1.94460 + 0.467486i 0.138900 + 0.0333918i
\(197\) −0.495698 1.19672i −0.0353171 0.0852629i 0.905237 0.424907i \(-0.139693\pi\)
−0.940554 + 0.339644i \(0.889693\pi\)
\(198\) −0.687581 2.43941i −0.0488642 0.173361i
\(199\) 10.1613 10.1613i 0.720317 0.720317i −0.248353 0.968670i \(-0.579889\pi\)
0.968670 + 0.248353i \(0.0798893\pi\)
\(200\) −3.06962 + 8.30883i −0.217055 + 0.587523i
\(201\) −4.07998 4.07998i −0.287780 0.287780i
\(202\) 4.55226 8.12572i 0.320296 0.571724i
\(203\) 7.03942 2.91582i 0.494071 0.204651i
\(204\) 5.79359 + 4.21200i 0.405633 + 0.294899i
\(205\) 5.41229 13.0664i 0.378010 0.912598i
\(206\) −16.9388 2.00747i −1.18018 0.139867i
\(207\) 7.39453i 0.513955i
\(208\) −3.42590 + 2.92237i −0.237543 + 0.202630i
\(209\) 3.20834i 0.221926i
\(210\) −0.246037 + 2.07604i −0.0169782 + 0.143260i
\(211\) 2.86259 6.91091i 0.197069 0.475766i −0.794195 0.607664i \(-0.792107\pi\)
0.991263 + 0.131897i \(0.0421069\pi\)
\(212\) 1.79061 + 11.3279i 0.122979 + 0.778002i
\(213\) 0.781735 0.323805i 0.0535636 0.0221868i
\(214\) 14.6480 + 8.20622i 1.00132 + 0.560966i
\(215\) 0.943877 + 0.943877i 0.0643719 + 0.0643719i
\(216\) 10.8455 + 10.0347i 0.737946 + 0.682778i
\(217\) −4.17893 + 4.17893i −0.283684 + 0.283684i
\(218\) −17.5588 + 4.94920i −1.18923 + 0.335202i
\(219\) −3.95852 9.55671i −0.267492 0.645782i
\(220\) −2.28261 + 1.39782i −0.153894 + 0.0942413i
\(221\) −3.44423 1.42665i −0.231684 0.0959666i
\(222\) 5.34773 4.21448i 0.358916 0.282857i
\(223\) 9.85085 0.659662 0.329831 0.944040i \(-0.393008\pi\)
0.329831 + 0.944040i \(0.393008\pi\)
\(224\) −4.70110 3.14638i −0.314105 0.210226i
\(225\) −5.73216 −0.382144
\(226\) −17.6510 + 13.9106i −1.17413 + 0.925318i
\(227\) 15.7326 + 6.51665i 1.04421 + 0.432525i 0.837821 0.545945i \(-0.183829\pi\)
0.206388 + 0.978470i \(0.433829\pi\)
\(228\) −3.70146 6.04438i −0.245135 0.400299i
\(229\) −7.45055 17.9872i −0.492346 1.18863i −0.953523 0.301321i \(-0.902573\pi\)
0.461177 0.887308i \(-0.347427\pi\)
\(230\) −7.51639 + 2.11860i −0.495616 + 0.139696i
\(231\) 0.748748 0.748748i 0.0492640 0.0492640i
\(232\) −21.5347 + 0.836206i −1.41382 + 0.0548996i
\(233\) −3.26240 3.26240i −0.213727 0.213727i 0.592122 0.805848i \(-0.298290\pi\)
−0.805848 + 0.592122i \(0.798290\pi\)
\(234\) −2.54229 1.42426i −0.166195 0.0931069i
\(235\) −13.5515 + 5.61322i −0.884003 + 0.366166i
\(236\) 2.90700 0.459513i 0.189230 0.0299117i
\(237\) −4.92022 + 11.8785i −0.319603 + 0.771589i
\(238\) 0.551171 4.65073i 0.0357271 0.301462i
\(239\) 2.83372i 0.183298i −0.995791 0.0916491i \(-0.970786\pi\)
0.995791 0.0916491i \(-0.0292138\pi\)
\(240\) 2.68767 5.26688i 0.173488 0.339976i
\(241\) 22.5209i 1.45070i −0.688380 0.725350i \(-0.741678\pi\)
0.688380 0.725350i \(-0.258322\pi\)
\(242\) −14.1019 1.67126i −0.906507 0.107433i
\(243\) −5.93180 + 14.3206i −0.380525 + 0.918668i
\(244\) 0.113707 0.156403i 0.00727933 0.0100127i
\(245\) 1.26282 0.523077i 0.0806786 0.0334182i
\(246\) 7.73470 13.8063i 0.493146 0.880260i
\(247\) 2.60843 + 2.60843i 0.165971 + 0.165971i
\(248\) 15.1835 6.99123i 0.964152 0.443944i
\(249\) −4.94079 + 4.94079i −0.313110 + 0.313110i
\(250\) 4.26442 + 15.1294i 0.269706 + 0.956864i
\(251\) −8.58026 20.7146i −0.541581 1.30749i −0.923607 0.383341i \(-0.874773\pi\)
0.382025 0.924152i \(-0.375227\pi\)
\(252\) 0.855676 3.55935i 0.0539025 0.224218i
\(253\) 3.65437 + 1.51369i 0.229749 + 0.0951650i
\(254\) −14.9644 18.9883i −0.938953 1.19143i
\(255\) 4.89534 0.306558
\(256\) 9.38872 + 12.9558i 0.586795 + 0.809736i
\(257\) 8.00130 0.499108 0.249554 0.968361i \(-0.419716\pi\)
0.249554 + 0.968361i \(0.419716\pi\)
\(258\) 0.924515 + 1.17311i 0.0575578 + 0.0730347i
\(259\) −4.11292 1.70363i −0.255564 0.105858i
\(260\) −0.719344 + 2.99225i −0.0446118 + 0.185572i
\(261\) −5.33707 12.8848i −0.330356 0.797550i
\(262\) 6.68888 + 23.7309i 0.413240 + 1.46610i
\(263\) 15.2011 15.2011i 0.937342 0.937342i −0.0608073 0.998150i \(-0.519367\pi\)
0.998150 + 0.0608073i \(0.0193675\pi\)
\(264\) −2.72046 + 1.25264i −0.167433 + 0.0770944i
\(265\) 5.54228 + 5.54228i 0.340460 + 0.340460i
\(266\) −2.26495 + 4.04290i −0.138873 + 0.247886i
\(267\) −2.98376 + 1.23591i −0.182603 + 0.0756367i
\(268\) 6.27455 8.63062i 0.383279 0.527199i
\(269\) −3.43306 + 8.28813i −0.209317 + 0.505337i −0.993316 0.115426i \(-0.963177\pi\)
0.783999 + 0.620762i \(0.213177\pi\)
\(270\) 10.0280 + 1.18845i 0.610287 + 0.0723269i
\(271\) 16.2410i 0.986571i −0.869867 0.493285i \(-0.835796\pi\)
0.869867 0.493285i \(-0.164204\pi\)
\(272\) −6.02091 + 11.7989i −0.365071 + 0.715411i
\(273\) 1.21749i 0.0736857i
\(274\) 2.37311 20.0241i 0.143365 1.20970i
\(275\) 1.17340 2.83283i 0.0707585 0.170826i
\(276\) −8.63103 + 1.36431i −0.519527 + 0.0821221i
\(277\) 8.18398 3.38992i 0.491728 0.203680i −0.123020 0.992404i \(-0.539258\pi\)
0.614748 + 0.788724i \(0.289258\pi\)
\(278\) −13.3645 7.48715i −0.801548 0.449050i
\(279\) 7.64903 + 7.64903i 0.457935 + 0.457935i
\(280\) −3.86317 + 0.150009i −0.230869 + 0.00896476i
\(281\) 9.52799 9.52799i 0.568392 0.568392i −0.363286 0.931678i \(-0.618345\pi\)
0.931678 + 0.363286i \(0.118345\pi\)
\(282\) −15.7973 + 4.45269i −0.940716 + 0.265154i
\(283\) 9.29050 + 22.4293i 0.552263 + 1.33328i 0.915775 + 0.401691i \(0.131578\pi\)
−0.363512 + 0.931589i \(0.618422\pi\)
\(284\) 0.817185 + 1.33444i 0.0484910 + 0.0791844i
\(285\) −4.47524 1.85370i −0.265090 0.109804i
\(286\) 1.22429 0.964846i 0.0723936 0.0570526i
\(287\) −10.3470 −0.610765
\(288\) −5.75906 + 8.60480i −0.339356 + 0.507042i
\(289\) 6.03348 0.354911
\(290\) −11.5680 + 9.11665i −0.679299 + 0.535348i
\(291\) −6.11654 2.53355i −0.358558 0.148519i
\(292\) 16.3135 9.99007i 0.954676 0.584625i
\(293\) 8.54419 + 20.6275i 0.499157 + 1.20507i 0.949939 + 0.312437i \(0.101145\pi\)
−0.450782 + 0.892634i \(0.648855\pi\)
\(294\) 1.47210 0.414931i 0.0858545 0.0241993i
\(295\) 1.42228 1.42228i 0.0828085 0.0828085i
\(296\) 9.24234 + 8.55140i 0.537200 + 0.497040i
\(297\) −3.61674 3.61674i −0.209864 0.209864i
\(298\) 23.8097 + 13.3389i 1.37926 + 0.772700i
\(299\) 4.20172 1.74041i 0.242992 0.100650i
\(300\) 1.05760 + 6.69068i 0.0610607 + 0.386287i
\(301\) 0.373718 0.902235i 0.0215408 0.0520040i
\(302\) 1.50021 12.6586i 0.0863274 0.728422i
\(303\) 7.12267i 0.409187i
\(304\) 9.97205 8.50639i 0.571936 0.487875i
\(305\) 0.132154i 0.00756713i
\(306\) −8.51260 1.00885i −0.486633 0.0576723i
\(307\) −12.5759 + 30.3608i −0.717743 + 1.73278i −0.0380638 + 0.999275i \(0.512119\pi\)
−0.679679 + 0.733510i \(0.737881\pi\)
\(308\) 1.58387 + 1.15149i 0.0902494 + 0.0656122i
\(309\) −12.0513 + 4.99181i −0.685574 + 0.283974i
\(310\) 5.58357 9.96661i 0.317125 0.566065i
\(311\) 9.58114 + 9.58114i 0.543297 + 0.543297i 0.924494 0.381197i \(-0.124488\pi\)
−0.381197 + 0.924494i \(0.624488\pi\)
\(312\) −1.19336 + 3.23019i −0.0675609 + 0.182873i
\(313\) 9.48170 9.48170i 0.535937 0.535937i −0.386396 0.922333i \(-0.626280\pi\)
0.922333 + 0.386396i \(0.126280\pi\)
\(314\) −0.312124 1.10736i −0.0176142 0.0624917i
\(315\) −0.957430 2.31144i −0.0539451 0.130235i
\(316\) −23.1181 5.55764i −1.30049 0.312642i
\(317\) −25.8056 10.6890i −1.44939 0.600356i −0.487333 0.873216i \(-0.662030\pi\)
−0.962054 + 0.272860i \(0.912030\pi\)
\(318\) 5.42859 + 6.88830i 0.304420 + 0.386277i
\(319\) 7.46020 0.417691
\(320\) 10.3966 + 3.38862i 0.581189 + 0.189430i
\(321\) 12.8398 0.716650
\(322\) 3.53636 + 4.48726i 0.197074 + 0.250065i
\(323\) 10.0254 + 4.15266i 0.557829 + 0.231060i
\(324\) 0.308351 + 0.0741283i 0.0171306 + 0.00411824i
\(325\) −1.34915 3.25713i −0.0748371 0.180673i
\(326\) 0.432584 + 1.53472i 0.0239586 + 0.0850005i
\(327\) −9.86480 + 9.86480i −0.545525 + 0.545525i
\(328\) 27.4522 + 10.1420i 1.51580 + 0.559997i
\(329\) 7.58807 + 7.58807i 0.418344 + 0.418344i
\(330\) −1.00042 + 1.78574i −0.0550714 + 0.0983017i
\(331\) −11.5634 + 4.78970i −0.635580 + 0.263266i −0.677122 0.735871i \(-0.736773\pi\)
0.0415418 + 0.999137i \(0.486773\pi\)
\(332\) −10.4515 7.59837i −0.573602 0.417014i
\(333\) −3.11828 + 7.52820i −0.170881 + 0.412543i
\(334\) 15.0944 + 1.78888i 0.825929 + 0.0978832i
\(335\) 7.29251i 0.398432i
\(336\) −4.31241 0.342049i −0.235262 0.0186603i
\(337\) 19.5928i 1.06729i 0.845709 + 0.533645i \(0.179178\pi\)
−0.845709 + 0.533645i \(0.820822\pi\)
\(338\) −1.95276 + 16.4772i −0.106216 + 0.896242i
\(339\) −6.57688 + 15.8780i −0.357207 + 0.862374i
\(340\) 1.41346 + 8.94193i 0.0766556 + 0.484944i
\(341\) −5.34594 + 2.21436i −0.289499 + 0.119914i
\(342\) 7.40005 + 4.14572i 0.400149 + 0.224175i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −1.87589 + 2.02746i −0.101141 + 0.109313i
\(345\) −4.22282 + 4.22282i −0.227349 + 0.227349i
\(346\) −29.8954 + 8.42643i −1.60718 + 0.453008i
\(347\) 12.3502 + 29.8160i 0.662993 + 1.60061i 0.793090 + 0.609105i \(0.208471\pi\)
−0.130097 + 0.991501i \(0.541529\pi\)
\(348\) −14.0547 + 8.60681i −0.753411 + 0.461374i
\(349\) 23.5509 + 9.75512i 1.26065 + 0.522179i 0.910110 0.414367i \(-0.135997\pi\)
0.350543 + 0.936547i \(0.385997\pi\)
\(350\) 3.47848 2.74135i 0.185932 0.146531i
\(351\) −5.88093 −0.313901
\(352\) −3.07358 4.60757i −0.163823 0.245584i
\(353\) −24.8851 −1.32450 −0.662251 0.749282i \(-0.730399\pi\)
−0.662251 + 0.749282i \(0.730399\pi\)
\(354\) 1.76770 1.39311i 0.0939524 0.0740428i
\(355\) 0.988014 + 0.409249i 0.0524384 + 0.0217207i
\(356\) −3.11907 5.09335i −0.165310 0.269947i
\(357\) −1.37055 3.30881i −0.0725375 0.175121i
\(358\) 28.2325 7.95774i 1.49214 0.420580i
\(359\) −14.2492 + 14.2492i −0.752046 + 0.752046i −0.974861 0.222815i \(-0.928476\pi\)
0.222815 + 0.974861i \(0.428476\pi\)
\(360\) 0.274574 + 7.07107i 0.0144713 + 0.372678i
\(361\) 5.84245 + 5.84245i 0.307497 + 0.307497i
\(362\) −0.466557 0.261378i −0.0245217 0.0137377i
\(363\) −10.0330 + 4.15580i −0.526595 + 0.218123i
\(364\) 2.22389 0.351532i 0.116564 0.0184253i
\(365\) 5.00307 12.0785i 0.261872 0.632216i
\(366\) 0.0174032 0.146847i 0.000909680 0.00767579i
\(367\) 20.3633i 1.06296i 0.847072 + 0.531478i \(0.178363\pi\)
−0.847072 + 0.531478i \(0.821637\pi\)
\(368\) −4.98417 15.3717i −0.259818 0.801305i
\(369\) 18.9390i 0.985923i
\(370\) 8.54568 + 1.01277i 0.444269 + 0.0526516i
\(371\) 2.19441 5.29777i 0.113928 0.275046i
\(372\) 7.51681 10.3394i 0.389729 0.536071i
\(373\) −9.97623 + 4.13229i −0.516550 + 0.213962i −0.625701 0.780063i \(-0.715187\pi\)
0.109151 + 0.994025i \(0.465187\pi\)
\(374\) 2.24114 4.00041i 0.115887 0.206856i
\(375\) 8.49989 + 8.49989i 0.438933 + 0.438933i
\(376\) −12.6946 27.5701i −0.654676 1.42182i
\(377\) 6.06526 6.06526i 0.312377 0.312377i
\(378\) −2.00428 7.11079i −0.103089 0.365740i
\(379\) −8.32592 20.1006i −0.427674 1.03250i −0.980023 0.198883i \(-0.936269\pi\)
0.552349 0.833613i \(-0.313731\pi\)
\(380\) 2.09385 8.70979i 0.107412 0.446803i
\(381\) −17.0809 7.07515i −0.875082 0.362471i
\(382\) −6.66478 8.45690i −0.341000 0.432692i
\(383\) 5.23566 0.267529 0.133765 0.991013i \(-0.457293\pi\)
0.133765 + 0.991013i \(0.457293\pi\)
\(384\) 11.1062 + 5.13447i 0.566763 + 0.262017i
\(385\) 1.33830 0.0682063
\(386\) 20.7847 + 26.3736i 1.05791 + 1.34238i
\(387\) −1.65143 0.684046i −0.0839471 0.0347720i
\(388\) 2.86178 11.9041i 0.145285 0.604340i
\(389\) 10.2543 + 24.7560i 0.519912 + 1.25518i 0.937957 + 0.346751i \(0.112715\pi\)
−0.418045 + 0.908426i \(0.637285\pi\)
\(390\) 0.638476 + 2.26519i 0.0323305 + 0.114702i
\(391\) 9.45994 9.45994i 0.478410 0.478410i
\(392\) 1.18297 + 2.56916i 0.0597490 + 0.129762i
\(393\) 13.3324 + 13.3324i 0.672528 + 0.672528i
\(394\) 0.895331 1.59816i 0.0451061 0.0805139i
\(395\) −15.0129 + 6.21854i −0.755380 + 0.312889i
\(396\) 2.10766 2.89908i 0.105914 0.145684i
\(397\) 11.1704 26.9677i 0.560627 1.35347i −0.348639 0.937257i \(-0.613356\pi\)
0.909266 0.416215i \(-0.136644\pi\)
\(398\) 20.1814 + 2.39176i 1.01160 + 0.119888i
\(399\) 3.54384i 0.177414i
\(400\) −11.9160 + 3.86368i −0.595799 + 0.193184i
\(401\) 0.336321i 0.0167951i −0.999965 0.00839753i \(-0.997327\pi\)
0.999965 0.00839753i \(-0.00267305\pi\)
\(402\) 0.960340 8.10326i 0.0478974 0.404154i
\(403\) −2.54602 + 6.14664i −0.126826 + 0.306186i
\(404\) 13.0104 2.05657i 0.647293 0.102318i
\(405\) 0.200243 0.0829433i 0.00995015 0.00412149i
\(406\) 9.40076 + 5.26657i 0.466552 + 0.261375i
\(407\) −3.08211 3.08211i −0.152774 0.152774i
\(408\) 0.393051 + 10.1222i 0.0194589 + 0.501123i
\(409\) −3.23576 + 3.23576i −0.159998 + 0.159998i −0.782566 0.622568i \(-0.786089\pi\)
0.622568 + 0.782566i \(0.286089\pi\)
\(410\) 19.2511 5.42619i 0.950744 0.267980i
\(411\) −5.90103 14.2463i −0.291076 0.702721i
\(412\) −12.5978 20.5718i −0.620649 1.01350i
\(413\) −1.35953 0.563137i −0.0668983 0.0277102i
\(414\) 8.21340 6.47288i 0.403666 0.318125i
\(415\) −8.83110 −0.433502
\(416\) −6.24489 1.24715i −0.306181 0.0611467i
\(417\) −11.7148 −0.573674
\(418\) −3.56363 + 2.80846i −0.174303 + 0.137366i
\(419\) −16.9870 7.03624i −0.829869 0.343743i −0.0730182 0.997331i \(-0.523263\pi\)
−0.756851 + 0.653588i \(0.773263\pi\)
\(420\) −2.52131 + 1.54400i −0.123027 + 0.0753394i
\(421\) −15.0999 36.4544i −0.735924 1.77668i −0.621750 0.783216i \(-0.713578\pi\)
−0.114173 0.993461i \(-0.536422\pi\)
\(422\) 10.1820 2.86995i 0.495653 0.139707i
\(423\) 13.8891 13.8891i 0.675309 0.675309i
\(424\) −11.0149 + 11.9049i −0.534931 + 0.578152i
\(425\) −7.33325 7.33325i −0.355715 0.355715i
\(426\) 1.04396 + 0.584858i 0.0505802 + 0.0283364i
\(427\) −0.0893244 + 0.0369994i −0.00432271 + 0.00179053i
\(428\) 3.70732 + 23.4535i 0.179200 + 1.13367i
\(429\) 0.456176 1.10131i 0.0220244 0.0531716i
\(430\) −0.222168 + 1.87464i −0.0107139 + 0.0904029i
\(431\) 13.1488i 0.633354i −0.948533 0.316677i \(-0.897433\pi\)
0.948533 0.316677i \(-0.102567\pi\)
\(432\) −1.65223 + 20.8306i −0.0794928 + 1.00221i
\(433\) 40.2052i 1.93214i −0.258282 0.966069i \(-0.583156\pi\)
0.258282 0.966069i \(-0.416844\pi\)
\(434\) −8.29977 0.983630i −0.398402 0.0472158i
\(435\) −4.31032 + 10.4060i −0.206664 + 0.498931i
\(436\) −20.8676 15.1709i −0.999376 0.726556i
\(437\) −12.2303 + 5.06595i −0.585054 + 0.242337i
\(438\) 7.14988 12.7625i 0.341635 0.609814i
\(439\) −27.3803 27.3803i −1.30679 1.30679i −0.923720 0.383068i \(-0.874867\pi\)
−0.383068 0.923720i \(-0.625133\pi\)
\(440\) −3.55073 1.31178i −0.169274 0.0625368i
\(441\) −1.29427 + 1.29427i −0.0616321 + 0.0616321i
\(442\) −1.43031 5.07447i −0.0680330 0.241368i
\(443\) 13.6912 + 33.0535i 0.650489 + 1.57042i 0.812070 + 0.583560i \(0.198341\pi\)
−0.161581 + 0.986859i \(0.551659\pi\)
\(444\) 9.36238 + 2.25074i 0.444319 + 0.106815i
\(445\) −3.77110 1.56204i −0.178767 0.0740478i
\(446\) 8.62306 + 10.9417i 0.408314 + 0.518106i
\(447\) 20.8706 0.987147
\(448\) −0.620354 7.97591i −0.0293090 0.376826i
\(449\) 12.5452 0.592044 0.296022 0.955181i \(-0.404340\pi\)
0.296022 + 0.955181i \(0.404340\pi\)
\(450\) −5.01771 6.36694i −0.236537 0.300140i
\(451\) −9.35963 3.87689i −0.440728 0.182556i
\(452\) −30.9021 7.42893i −1.45351 0.349427i
\(453\) −3.73046 9.00613i −0.175272 0.423145i
\(454\) 6.53339 + 23.1792i 0.306627 + 1.08786i
\(455\) 1.08806 1.08806i 0.0510091 0.0510091i
\(456\) 3.47362 9.40237i 0.162667 0.440306i
\(457\) 14.2550 + 14.2550i 0.666819 + 0.666819i 0.956978 0.290159i \(-0.0937082\pi\)
−0.290159 + 0.956978i \(0.593708\pi\)
\(458\) 13.4572 24.0209i 0.628814 1.12242i
\(459\) −15.9828 + 6.62030i −0.746014 + 0.309009i
\(460\) −8.93277 6.49421i −0.416493 0.302794i
\(461\) −5.52269 + 13.3330i −0.257217 + 0.620978i −0.998752 0.0499365i \(-0.984098\pi\)
0.741535 + 0.670914i \(0.234098\pi\)
\(462\) 1.48709 + 0.176239i 0.0691857 + 0.00819940i
\(463\) 2.24545i 0.104355i −0.998638 0.0521775i \(-0.983384\pi\)
0.998638 0.0521775i \(-0.0166162\pi\)
\(464\) −19.7795 23.1875i −0.918239 1.07645i
\(465\) 8.73632i 0.405137i
\(466\) 0.767898 6.47945i 0.0355722 0.300155i
\(467\) −5.32133 + 12.8468i −0.246242 + 0.594480i −0.997879 0.0650968i \(-0.979264\pi\)
0.751637 + 0.659577i \(0.229264\pi\)
\(468\) −0.643438 4.07056i −0.0297429 0.188162i
\(469\) −4.92908 + 2.04169i −0.227604 + 0.0942767i
\(470\) −18.0973 10.1386i −0.834766 0.467659i
\(471\) −0.622129 0.622129i −0.0286662 0.0286662i
\(472\) 3.05508 + 2.82669i 0.140621 + 0.130109i
\(473\) 0.676111 0.676111i 0.0310876 0.0310876i
\(474\) −17.5008 + 4.93286i −0.803841 + 0.226574i
\(475\) 3.92707 + 9.48079i 0.180186 + 0.435008i
\(476\) 5.64822 3.45886i 0.258886 0.158536i
\(477\) −9.69693 4.01660i −0.443992 0.183907i
\(478\) 3.14753 2.48053i 0.143965 0.113457i
\(479\) −15.6342 −0.714346 −0.357173 0.934038i \(-0.616259\pi\)
−0.357173 + 0.934038i \(0.616259\pi\)
\(480\) 8.20282 1.62512i 0.374406 0.0741764i
\(481\) −5.01160 −0.228509
\(482\) 25.0149 19.7139i 1.13940 0.897946i
\(483\) 4.03652 + 1.67198i 0.183668 + 0.0760777i
\(484\) −10.4880 17.1265i −0.476725 0.778479i
\(485\) −3.20209 7.73053i −0.145399 0.351025i
\(486\) −21.0989 + 5.94703i −0.957068 + 0.269763i
\(487\) −2.51318 + 2.51318i −0.113883 + 0.113883i −0.761752 0.647869i \(-0.775660\pi\)
0.647869 + 0.761752i \(0.275660\pi\)
\(488\) 0.273258 0.0106108i 0.0123698 0.000480327i
\(489\) 0.862231 + 0.862231i 0.0389914 + 0.0389914i
\(490\) 1.68643 + 0.944783i 0.0761850 + 0.0426809i
\(491\) 26.9210 11.1510i 1.21493 0.503239i 0.319134 0.947710i \(-0.396608\pi\)
0.895794 + 0.444470i \(0.146608\pi\)
\(492\) 22.1059 3.49430i 0.996611 0.157535i
\(493\) 9.65597 23.3116i 0.434883 1.04990i
\(494\) −0.613969 + 5.18061i −0.0276238 + 0.233087i
\(495\) 2.44960i 0.110102i
\(496\) 21.0565 + 10.7450i 0.945463 + 0.482466i
\(497\) 0.782388i 0.0350949i
\(498\) −9.81290 1.16296i −0.439727 0.0521133i
\(499\) 6.22672 15.0326i 0.278746 0.672953i −0.721055 0.692878i \(-0.756343\pi\)
0.999801 + 0.0199245i \(0.00634260\pi\)
\(500\) −13.0719 + 17.9803i −0.584592 + 0.804104i
\(501\) 10.7391 4.44828i 0.479787 0.198734i
\(502\) 15.4977 27.6632i 0.691696 1.23467i
\(503\) −8.16412 8.16412i −0.364020 0.364020i 0.501271 0.865291i \(-0.332866\pi\)
−0.865291 + 0.501271i \(0.832866\pi\)
\(504\) 4.70254 2.16528i 0.209468 0.0964494i
\(505\) 6.36549 6.36549i 0.283261 0.283261i
\(506\) 1.51758 + 5.38409i 0.0674647 + 0.239352i
\(507\) 4.85578 + 11.7229i 0.215653 + 0.520632i
\(508\) 7.99175 33.2432i 0.354576 1.47493i
\(509\) 13.9521 + 5.77913i 0.618414 + 0.256155i 0.669821 0.742522i \(-0.266371\pi\)
−0.0514074 + 0.998678i \(0.516371\pi\)
\(510\) 4.28519 + 5.43745i 0.189751 + 0.240774i
\(511\) −9.56468 −0.423117
\(512\) −6.17197 + 21.7694i −0.272765 + 0.962081i
\(513\) 17.1181 0.755783
\(514\) 7.00403 + 8.88736i 0.308935 + 0.392005i
\(515\) −15.2313 6.30902i −0.671172 0.278009i
\(516\) −0.493736 + 2.05379i −0.0217355 + 0.0904131i
\(517\) 4.02082 + 9.70712i 0.176835 + 0.426919i
\(518\) −1.70800 6.05967i −0.0750453 0.266246i
\(519\) −16.7957 + 16.7957i −0.737247 + 0.737247i
\(520\) −3.95330 + 1.82030i −0.173364 + 0.0798253i
\(521\) −0.382095 0.382095i −0.0167399 0.0167399i 0.698687 0.715427i \(-0.253768\pi\)
−0.715427 + 0.698687i \(0.753768\pi\)
\(522\) 9.63982 17.2070i 0.421924 0.753128i
\(523\) 0.581817 0.240997i 0.0254411 0.0105380i −0.369927 0.929061i \(-0.620617\pi\)
0.395368 + 0.918523i \(0.370617\pi\)
\(524\) −20.5036 + 28.2027i −0.895706 + 1.23204i
\(525\) 1.29610 3.12907i 0.0565665 0.136564i
\(526\) 30.1910 + 3.57802i 1.31639 + 0.156009i
\(527\) 19.5711i 0.852529i
\(528\) −3.77273 1.92521i −0.164187 0.0837841i
\(529\) 6.67932i 0.290405i
\(530\) −1.30453 + 11.0075i −0.0566654 + 0.478137i
\(531\) −1.03076 + 2.48846i −0.0447310 + 0.107990i
\(532\) −6.47326 + 1.02323i −0.280652 + 0.0443628i
\(533\) −10.7615 + 4.45756i −0.466132 + 0.193078i
\(534\) −3.98465 2.23231i −0.172433 0.0966015i
\(535\) 11.4749 + 11.4749i 0.496102 + 0.496102i
\(536\) 15.0789 0.585521i 0.651308 0.0252907i
\(537\) 15.8615 15.8615i 0.684472 0.684472i
\(538\) −12.2111 + 3.44188i −0.526459 + 0.148390i
\(539\) −0.374687 0.904574i −0.0161389 0.0389627i
\(540\) 7.45810 + 12.1789i 0.320945 + 0.524095i
\(541\) −9.51992 3.94328i −0.409293 0.169535i 0.168530 0.985696i \(-0.446098\pi\)
−0.577824 + 0.816162i \(0.696098\pi\)
\(542\) 18.0395 14.2167i 0.774864 0.610662i
\(543\) −0.408965 −0.0175503
\(544\) −18.3759 + 3.64059i −0.787861 + 0.156089i
\(545\) −17.6322 −0.755281
\(546\) 1.35231 1.06574i 0.0578736 0.0456095i
\(547\) 6.94719 + 2.87762i 0.297040 + 0.123038i 0.526226 0.850344i \(-0.323606\pi\)
−0.229186 + 0.973383i \(0.573606\pi\)
\(548\) 24.3188 14.8924i 1.03885 0.636171i
\(549\) 0.0677230 + 0.163498i 0.00289035 + 0.00697791i
\(550\) 4.17369 1.17641i 0.177967 0.0501624i
\(551\) −17.6546 + 17.6546i −0.752113 + 0.752113i
\(552\) −9.07066 8.39256i −0.386073 0.357211i
\(553\) 8.40635 + 8.40635i 0.357474 + 0.357474i
\(554\) 10.9293 + 6.12287i 0.464340 + 0.260136i
\(555\) 6.07992 2.51839i 0.258078 0.106900i
\(556\) −3.38247 21.3984i −0.143449 0.907495i
\(557\) −4.56082 + 11.0108i −0.193248 + 0.466542i −0.990569 0.137013i \(-0.956250\pi\)
0.797321 + 0.603555i \(0.206250\pi\)
\(558\) −1.80042 + 15.1917i −0.0762177 + 0.643118i
\(559\) 1.09938i 0.0464987i
\(560\) −3.54829 4.15966i −0.149943 0.175778i
\(561\) 3.50659i 0.148048i
\(562\) 18.9235 + 2.24268i 0.798242 + 0.0946019i
\(563\) 1.77792 4.29228i 0.0749304 0.180898i −0.881976 0.471294i \(-0.843787\pi\)
0.956907 + 0.290396i \(0.0937870\pi\)
\(564\) −18.7741 13.6490i −0.790534 0.574726i
\(565\) −20.0678 + 8.31235i −0.844258 + 0.349703i
\(566\) −16.7805 + 29.9530i −0.705338 + 1.25902i
\(567\) −0.112125 0.112125i −0.00470879 0.00470879i
\(568\) −0.766884 + 2.07580i −0.0321777 + 0.0870985i
\(569\) −16.5347 + 16.5347i −0.693170 + 0.693170i −0.962928 0.269758i \(-0.913056\pi\)
0.269758 + 0.962928i \(0.413056\pi\)
\(570\) −1.85847 6.59348i −0.0778426 0.276171i
\(571\) 14.8785 + 35.9199i 0.622646 + 1.50320i 0.848585 + 0.529059i \(0.177455\pi\)
−0.225939 + 0.974141i \(0.572545\pi\)
\(572\) 2.14339 + 0.515275i 0.0896195 + 0.0215447i
\(573\) −7.60740 3.15109i −0.317804 0.131639i
\(574\) −9.05737 11.4928i −0.378047 0.479702i
\(575\) 12.6516 0.527609
\(576\) −14.5989 + 1.13548i −0.608290 + 0.0473118i
\(577\) 23.0638 0.960160 0.480080 0.877225i \(-0.340608\pi\)
0.480080 + 0.877225i \(0.340608\pi\)
\(578\) 5.28147 + 6.70163i 0.219680 + 0.278751i
\(579\) 23.7244 + 9.82696i 0.985951 + 0.408394i
\(580\) −20.2524 4.86873i −0.840937 0.202163i
\(581\) 2.47245 + 5.96903i 0.102575 + 0.247637i
\(582\) −2.54006 9.01165i −0.105289 0.373545i
\(583\) 3.97001 3.97001i 0.164421 0.164421i
\(584\) 25.3766 + 9.37515i 1.05009 + 0.387946i
\(585\) −1.99157 1.99157i −0.0823411 0.0823411i
\(586\) −15.4325 + 27.5469i −0.637512 + 1.13795i
\(587\) 10.8440 4.49173i 0.447579 0.185393i −0.147497 0.989062i \(-0.547122\pi\)
0.595077 + 0.803669i \(0.297122\pi\)
\(588\) 1.74950 + 1.27190i 0.0721481 + 0.0524524i
\(589\) 7.41092 17.8915i 0.305362 0.737208i
\(590\) 2.82480 + 0.334775i 0.116295 + 0.0137825i
\(591\) 1.40088i 0.0576244i
\(592\) −1.40799 + 17.7514i −0.0578682 + 0.729578i
\(593\) 24.5197i 1.00690i 0.864024 + 0.503451i \(0.167937\pi\)
−0.864024 + 0.503451i \(0.832063\pi\)
\(594\) 0.851303 7.18321i 0.0349294 0.294731i
\(595\) 1.73221 4.18192i 0.0710136 0.171442i
\(596\) 6.02609 + 38.1227i 0.246838 + 1.56157i
\(597\) 14.3583 5.94740i 0.587646 0.243411i
\(598\) 5.61116 + 3.14353i 0.229457 + 0.128548i
\(599\) −9.50408 9.50408i −0.388326 0.388326i 0.485764 0.874090i \(-0.338541\pi\)
−0.874090 + 0.485764i \(0.838541\pi\)
\(600\) −6.50582 + 7.03148i −0.265599 + 0.287059i
\(601\) 22.7018 22.7018i 0.926024 0.926024i −0.0714221 0.997446i \(-0.522754\pi\)
0.997446 + 0.0714221i \(0.0227537\pi\)
\(602\) 1.32929 0.374678i 0.0541777 0.0152707i
\(603\) 3.73708 + 9.02210i 0.152185 + 0.367408i
\(604\) 15.3737 9.41453i 0.625546 0.383072i
\(605\) −12.6804 5.25240i −0.515533 0.213541i
\(606\) 7.91144 6.23491i 0.321380 0.253276i
\(607\) 46.3175 1.87997 0.939985 0.341216i \(-0.110839\pi\)
0.939985 + 0.341216i \(0.110839\pi\)
\(608\) 18.1775 + 3.63019i 0.737196 + 0.147224i
\(609\) 8.24032 0.333915
\(610\) 0.146789 0.115683i 0.00594331 0.00468385i
\(611\) 11.1610 + 4.62305i 0.451527 + 0.187029i
\(612\) −6.33102 10.3384i −0.255916 0.417905i
\(613\) 5.70272 + 13.7676i 0.230331 + 0.556068i 0.996216 0.0869094i \(-0.0276991\pi\)
−0.765885 + 0.642977i \(0.777699\pi\)
\(614\) −44.7314 + 12.6082i −1.80521 + 0.508825i
\(615\) 10.8155 10.8155i 0.436125 0.436125i
\(616\) 0.107453 + 2.76724i 0.00432942 + 0.111495i
\(617\) −16.3375 16.3375i −0.657723 0.657723i 0.297118 0.954841i \(-0.403975\pi\)
−0.954841 + 0.297118i \(0.903975\pi\)
\(618\) −16.0938 9.01622i −0.647389 0.362686i
\(619\) −0.207481 + 0.0859413i −0.00833935 + 0.00345427i −0.386849 0.922143i \(-0.626437\pi\)
0.378510 + 0.925597i \(0.376437\pi\)
\(620\) 15.9579 2.52249i 0.640886 0.101305i
\(621\) 8.07630 19.4979i 0.324091 0.782424i
\(622\) −2.25519 + 19.0291i −0.0904251 + 0.762998i
\(623\) 2.98625i 0.119642i
\(624\) −4.63252 + 1.50206i −0.185449 + 0.0601307i
\(625\) 0.465782i 0.0186313i
\(626\) 18.8316 + 2.23179i 0.752662 + 0.0892002i
\(627\) −1.32783 + 3.20567i −0.0530285 + 0.128022i
\(628\) 0.956763 1.31602i 0.0381790 0.0525151i
\(629\) −13.6202 + 5.64168i −0.543074 + 0.224949i
\(630\) 1.72931 3.08680i 0.0688974 0.122981i
\(631\) −17.4310 17.4310i −0.693919 0.693919i 0.269173 0.963092i \(-0.413250\pi\)
−0.963092 + 0.269173i \(0.913250\pi\)
\(632\) −14.0636 30.5431i −0.559420 1.21494i
\(633\) 5.72041 5.72041i 0.227366 0.227366i
\(634\) −10.7165 38.0201i −0.425606 1.50997i
\(635\) −8.94209 21.5881i −0.354856 0.856698i
\(636\) −2.89913 + 12.0595i −0.114958 + 0.478191i
\(637\) −1.04006 0.430806i −0.0412086 0.0170692i
\(638\) 6.53037 + 8.28634i 0.258540 + 0.328059i
\(639\) −1.43207 −0.0566517
\(640\) 5.33693 + 14.5142i 0.210961 + 0.573725i
\(641\) 3.65877 0.144513 0.0722563 0.997386i \(-0.476980\pi\)
0.0722563 + 0.997386i \(0.476980\pi\)
\(642\) 11.2395 + 14.2617i 0.443587 + 0.562865i
\(643\) −27.8166 11.5220i −1.09698 0.454383i −0.240543 0.970638i \(-0.577326\pi\)
−0.856435 + 0.516255i \(0.827326\pi\)
\(644\) −1.88859 + 7.85595i −0.0744208 + 0.309568i
\(645\) 0.552449 + 1.33373i 0.0217527 + 0.0525156i
\(646\) 4.16333 + 14.7707i 0.163804 + 0.581145i
\(647\) −14.7046 + 14.7046i −0.578098 + 0.578098i −0.934379 0.356281i \(-0.884045\pi\)
0.356281 + 0.934379i \(0.384045\pi\)
\(648\) 0.187581 + 0.407387i 0.00736889 + 0.0160037i
\(649\) −1.01880 1.01880i −0.0399913 0.0399913i
\(650\) 2.43683 4.34971i 0.0955803 0.170610i
\(651\) −5.90497 + 2.44592i −0.231434 + 0.0958631i
\(652\) −1.32601 + 1.82393i −0.0519306 + 0.0714304i
\(653\) 1.49385 3.60648i 0.0584590 0.141133i −0.891951 0.452132i \(-0.850664\pi\)
0.950410 + 0.310999i \(0.100664\pi\)
\(654\) −19.5925 2.32196i −0.766127 0.0907959i
\(655\) 23.8301i 0.931118i
\(656\) 12.7655 + 39.3702i 0.498410 + 1.53715i
\(657\) 17.5070i 0.683013i
\(658\) −1.78607 + 15.0707i −0.0696282 + 0.587516i
\(659\) 3.58812 8.66248i 0.139773 0.337442i −0.838456 0.544969i \(-0.816541\pi\)
0.978229 + 0.207527i \(0.0665414\pi\)
\(660\) −2.85922 + 0.451960i −0.111295 + 0.0175925i
\(661\) 4.73950 1.96317i 0.184345 0.0763583i −0.288602 0.957449i \(-0.593190\pi\)
0.472947 + 0.881091i \(0.343190\pi\)
\(662\) −15.4422 8.65117i −0.600180 0.336237i
\(663\) −2.85091 2.85091i −0.110720 0.110720i
\(664\) −0.709056 18.2602i −0.0275167 0.708635i
\(665\) −3.16711 + 3.16711i −0.122815 + 0.122815i
\(666\) −11.0915 + 3.12629i −0.429787 + 0.121141i
\(667\) 11.7796 + 28.4385i 0.456108 + 1.10114i
\(668\) 11.2261 + 18.3319i 0.434350 + 0.709281i
\(669\) 9.84264 + 4.07696i 0.380538 + 0.157624i
\(670\) 8.10008 6.38358i 0.312933 0.246619i
\(671\) −0.0946637 −0.00365445
\(672\) −3.39499 5.08939i −0.130965 0.196327i
\(673\) −20.7432 −0.799592 −0.399796 0.916604i \(-0.630919\pi\)
−0.399796 + 0.916604i \(0.630919\pi\)
\(674\) −21.7625 + 17.1508i −0.838262 + 0.660624i
\(675\) −15.1146 6.26066i −0.581760 0.240973i
\(676\) −20.0113 + 12.2545i −0.769664 + 0.471327i
\(677\) −15.2136 36.7288i −0.584706 1.41160i −0.888504 0.458868i \(-0.848255\pi\)
0.303799 0.952736i \(-0.401745\pi\)
\(678\) −23.3935 + 6.59378i −0.898421 + 0.253232i
\(679\) −4.32865 + 4.32865i −0.166118 + 0.166118i
\(680\) −8.69487 + 9.39741i −0.333433 + 0.360374i
\(681\) 13.0224 + 13.0224i 0.499021 + 0.499021i
\(682\) −7.13920 3.99958i −0.273374 0.153152i
\(683\) 6.12378 2.53655i 0.234320 0.0970585i −0.262434 0.964950i \(-0.584525\pi\)
0.496754 + 0.867891i \(0.334525\pi\)
\(684\) 1.87291 + 11.8485i 0.0716124 + 0.453040i
\(685\) 7.45816 18.0056i 0.284962 0.687958i
\(686\) 0.166438 1.40439i 0.00635462 0.0536197i
\(687\) 21.0558i 0.803328i
\(688\) −3.89406 0.308866i −0.148460 0.0117754i
\(689\) 6.45535i 0.245929i
\(690\) −8.38695 0.993961i −0.319286 0.0378395i
\(691\) 15.3357 37.0236i 0.583397 1.40844i −0.306319 0.951929i \(-0.599097\pi\)
0.889716 0.456515i \(-0.150903\pi\)
\(692\) −35.5288 25.8298i −1.35060 0.981902i
\(693\) −1.65571 + 0.685819i −0.0628954 + 0.0260521i
\(694\) −22.3069 + 39.8176i −0.846759 + 1.51146i
\(695\) −10.4694 10.4694i −0.397127 0.397127i
\(696\) −21.8629 8.07703i −0.828710 0.306159i
\(697\) −24.2289 + 24.2289i −0.917737 + 0.917737i
\(698\) 9.78018 + 34.6982i 0.370185 + 1.31335i
\(699\) −1.90947 4.60988i −0.0722229 0.174362i
\(700\) 6.08985 + 1.46401i 0.230175 + 0.0553345i
\(701\) 31.5541 + 13.0701i 1.19178 + 0.493652i 0.888335 0.459196i \(-0.151862\pi\)
0.303447 + 0.952848i \(0.401862\pi\)
\(702\) −5.14794 6.53218i −0.194296 0.246541i
\(703\) 14.5877 0.550185
\(704\) 2.42731 7.44724i 0.0914828 0.280678i
\(705\) −15.8633 −0.597448
\(706\) −21.7835 27.6409i −0.819832 1.04028i
\(707\) −6.08466 2.52035i −0.228837 0.0947874i
\(708\) 3.09476 + 0.743987i 0.116308 + 0.0279607i
\(709\) 15.9191 + 38.4322i 0.597856 + 1.44335i 0.875762 + 0.482743i \(0.160359\pi\)
−0.277907 + 0.960608i \(0.589641\pi\)
\(710\) 0.410300 + 1.45567i 0.0153983 + 0.0546302i
\(711\) 15.3868 15.3868i 0.577051 0.577051i
\(712\) 2.92708 7.92299i 0.109697 0.296927i
\(713\) −16.8824 16.8824i −0.632251 0.632251i
\(714\) 2.47550 4.41874i 0.0926432 0.165367i
\(715\) 1.39191 0.576549i 0.0520546 0.0215617i
\(716\) 33.5526 + 24.3931i 1.25392 + 0.911613i
\(717\) 1.17279 2.83136i 0.0437985 0.105739i
\(718\) −28.3004 3.35397i −1.05616 0.125169i
\(719\) 1.68899i 0.0629887i 0.999504 + 0.0314943i \(0.0100266\pi\)
−0.999504 + 0.0314943i \(0.989973\pi\)
\(720\) −7.61377 + 6.49472i −0.283748 + 0.242044i
\(721\) 12.0614i 0.449188i
\(722\) −1.37519 + 11.6037i −0.0511791 + 0.431845i
\(723\) 9.32070 22.5021i 0.346640 0.836864i
\(724\) −0.118083 0.747023i −0.00438851 0.0277629i
\(725\) 22.0452 9.13142i 0.818738 0.339132i
\(726\) −13.3985 7.50621i −0.497265 0.278582i
\(727\) 9.22518 + 9.22518i 0.342143 + 0.342143i 0.857173 0.515029i \(-0.172219\pi\)
−0.515029 + 0.857173i \(0.672219\pi\)
\(728\) 2.33717 + 2.16245i 0.0866212 + 0.0801456i
\(729\) −12.1901 + 12.1901i −0.451484 + 0.451484i
\(730\) 17.7955 5.01592i 0.658642 0.185647i
\(731\) −1.23759 2.98782i −0.0457741 0.110508i
\(732\) 0.178342 0.109213i 0.00659172 0.00403664i
\(733\) 44.9627 + 18.6241i 1.66073 + 0.687898i 0.998133 0.0610744i \(-0.0194527\pi\)
0.662601 + 0.748973i \(0.269453\pi\)
\(734\) −22.6183 + 17.8253i −0.834858 + 0.657942i
\(735\) 1.47825 0.0545261
\(736\) 12.7110 18.9919i 0.468534 0.700051i
\(737\) −5.22371 −0.192418
\(738\) −21.0363 + 16.5784i −0.774356 + 0.610261i
\(739\) −36.8745 15.2739i −1.35645 0.561861i −0.418371 0.908276i \(-0.637399\pi\)
−0.938081 + 0.346415i \(0.887399\pi\)
\(740\) 6.35563 + 10.3786i 0.233638 + 0.381524i
\(741\) 1.52671 + 3.68580i 0.0560851 + 0.135401i
\(742\) 7.80534 2.20005i 0.286543 0.0807662i
\(743\) −16.9537 + 16.9537i −0.621972 + 0.621972i −0.946035 0.324063i \(-0.894951\pi\)
0.324063 + 0.946035i \(0.394951\pi\)
\(744\) 18.0643 0.701446i 0.662268 0.0257162i
\(745\) 18.6519 + 18.6519i 0.683354 + 0.683354i
\(746\) −13.3227 7.46375i −0.487779 0.273267i
\(747\) 10.9256 4.52553i 0.399747 0.165581i
\(748\) 6.40522 1.01248i 0.234198 0.0370199i
\(749\) 4.54336 10.9686i 0.166011 0.400785i
\(750\) −2.00069 + 16.8816i −0.0730550 + 0.616431i
\(751\) 4.46547i 0.162947i 0.996675 + 0.0814737i \(0.0259626\pi\)
−0.996675 + 0.0814737i \(0.974037\pi\)
\(752\) 19.5108 38.2342i 0.711484 1.39426i
\(753\) 24.2484i 0.883661i
\(754\) 12.0462 + 1.42763i 0.438697 + 0.0519913i
\(755\) 4.71483 11.3826i 0.171590 0.414255i
\(756\) 6.14377 8.45074i 0.223447 0.307350i
\(757\) −32.9773 + 13.6596i −1.19858 + 0.496468i −0.890540 0.454905i \(-0.849673\pi\)
−0.308040 + 0.951373i \(0.599673\pi\)
\(758\) 15.0383 26.8432i 0.546215 0.974988i
\(759\) 3.02486 + 3.02486i 0.109795 + 0.109795i
\(760\) 11.5072 5.29849i 0.417410 0.192196i
\(761\) 32.2143 32.2143i 1.16777 1.16777i 0.185034 0.982732i \(-0.440761\pi\)
0.982732 0.185034i \(-0.0592395\pi\)
\(762\) −7.09332 25.1658i −0.256964 0.911659i
\(763\) 4.93652 + 11.9178i 0.178714 + 0.431454i
\(764\) 3.55932 14.8057i 0.128772 0.535651i
\(765\) −7.65450 3.17060i −0.276749 0.114633i
\(766\) 4.58309 + 5.81545i 0.165594 + 0.210121i
\(767\) −1.65660 −0.0598163
\(768\) 4.01891 + 16.8307i 0.145020 + 0.607324i
\(769\) −46.4889 −1.67643 −0.838217 0.545337i \(-0.816402\pi\)
−0.838217 + 0.545337i \(0.816402\pi\)
\(770\) 1.17150 + 1.48651i 0.0422179 + 0.0535700i
\(771\) 7.99463 + 3.31148i 0.287920 + 0.119260i
\(772\) −11.1001 + 46.1728i −0.399500 + 1.66180i
\(773\) 19.4635 + 46.9890i 0.700053 + 1.69008i 0.723474 + 0.690352i \(0.242544\pi\)
−0.0234209 + 0.999726i \(0.507456\pi\)
\(774\)