Properties

Label 731.2.n.a.208.4
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.4
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.61

$q$-expansion

\(f(q)\) \(=\) \(q-2.61030i q^{2} +(2.69586 + 0.722353i) q^{3} -4.81365 q^{4} +(1.96090 + 0.525421i) q^{5} +(1.88556 - 7.03699i) q^{6} +(-1.40725 + 0.377070i) q^{7} +7.34447i q^{8} +(4.14778 + 2.39472i) q^{9} +O(q^{10})\) \(q-2.61030i q^{2} +(2.69586 + 0.722353i) q^{3} -4.81365 q^{4} +(1.96090 + 0.525421i) q^{5} +(1.88556 - 7.03699i) q^{6} +(-1.40725 + 0.377070i) q^{7} +7.34447i q^{8} +(4.14778 + 2.39472i) q^{9} +(1.37151 - 5.11853i) q^{10} +(2.06835 + 2.06835i) q^{11} +(-12.9769 - 3.47716i) q^{12} +(2.11987 - 3.67171i) q^{13} +(0.984266 + 3.67333i) q^{14} +(4.90677 + 2.83292i) q^{15} +9.54395 q^{16} +(-3.77722 - 1.65305i) q^{17} +(6.25094 - 10.8269i) q^{18} +(5.27367 - 3.04475i) q^{19} +(-9.43909 - 2.52920i) q^{20} -4.06611 q^{21} +(5.39900 - 5.39900i) q^{22} +(1.69586 - 6.32905i) q^{23} +(-5.30530 + 19.7996i) q^{24} +(-0.761068 - 0.439403i) q^{25} +(-9.58427 - 5.53348i) q^{26} +(3.53148 + 3.53148i) q^{27} +(6.77399 - 1.81509i) q^{28} +(2.41210 + 9.00207i) q^{29} +(7.39477 - 12.8081i) q^{30} +(-0.304369 - 0.0815554i) q^{31} -10.2236i q^{32} +(4.08190 + 7.07005i) q^{33} +(-4.31496 + 9.85968i) q^{34} -2.95759 q^{35} +(-19.9660 - 11.5274i) q^{36} +(6.80362 + 1.82303i) q^{37} +(-7.94771 - 13.7658i) q^{38} +(8.36713 - 8.36713i) q^{39} +(-3.85894 + 14.4018i) q^{40} +(-1.58403 - 1.58403i) q^{41} +10.6138i q^{42} +(-4.57115 + 4.70156i) q^{43} +(-9.95631 - 9.95631i) q^{44} +(6.87514 + 6.87514i) q^{45} +(-16.5207 - 4.42671i) q^{46} -2.60945 q^{47} +(25.7291 + 6.89410i) q^{48} +(-4.22402 + 2.43874i) q^{49} +(-1.14697 + 1.98661i) q^{50} +(-8.98877 - 7.18489i) q^{51} +(-10.2043 + 17.6744i) q^{52} +(2.38615 - 1.37764i) q^{53} +(9.21821 - 9.21821i) q^{54} +(2.96907 + 5.14258i) q^{55} +(-2.76938 - 10.3355i) q^{56} +(16.4165 - 4.39878i) q^{57} +(23.4981 - 6.29629i) q^{58} +5.10340i q^{59} +(-23.6195 - 13.6367i) q^{60} +(-10.1300 + 2.71433i) q^{61} +(-0.212884 + 0.794494i) q^{62} +(-6.73993 - 1.80596i) q^{63} -7.59874 q^{64} +(6.08604 - 6.08604i) q^{65} +(18.4549 - 10.6550i) q^{66} +(-1.64435 - 2.84810i) q^{67} +(18.1822 + 7.95723i) q^{68} +(9.14362 - 15.8372i) q^{69} +7.72018i q^{70} +(-0.0110346 - 0.0411817i) q^{71} +(-17.5880 + 30.4633i) q^{72} +(0.935282 + 3.49052i) q^{73} +(4.75864 - 17.7595i) q^{74} +(-1.73433 - 1.73433i) q^{75} +(-25.3856 + 14.6564i) q^{76} +(-3.69059 - 2.13076i) q^{77} +(-21.8407 - 21.8407i) q^{78} +(-8.71713 + 2.33575i) q^{79} +(18.7147 + 5.01459i) q^{80} +(-0.214773 - 0.371998i) q^{81} +(-4.13480 + 4.13480i) q^{82} +(-8.30193 + 4.79312i) q^{83} +19.5729 q^{84} +(-6.53820 - 5.22611i) q^{85} +(12.2725 + 11.9321i) q^{86} +26.0107i q^{87} +(-15.1909 + 15.1909i) q^{88} +(3.49123 + 6.04699i) q^{89} +(17.9462 - 17.9462i) q^{90} +(-1.59868 + 5.96634i) q^{91} +(-8.16330 + 30.4658i) q^{92} +(-0.761624 - 0.439724i) q^{93} +6.81145i q^{94} +(11.9409 - 3.19956i) q^{95} +(7.38505 - 27.5614i) q^{96} +(4.86122 - 4.86122i) q^{97} +(6.36583 + 11.0259i) q^{98} +(3.62594 + 13.5322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.61030i 1.84576i −0.385089 0.922879i \(-0.625829\pi\)
0.385089 0.922879i \(-0.374171\pi\)
\(3\) 2.69586 + 0.722353i 1.55645 + 0.417051i 0.931539 0.363642i \(-0.118467\pi\)
0.624916 + 0.780692i \(0.285133\pi\)
\(4\) −4.81365 −2.40683
\(5\) 1.96090 + 0.525421i 0.876941 + 0.234976i 0.669087 0.743184i \(-0.266685\pi\)
0.207854 + 0.978160i \(0.433352\pi\)
\(6\) 1.88556 7.03699i 0.769775 2.87284i
\(7\) −1.40725 + 0.377070i −0.531889 + 0.142519i −0.514760 0.857334i \(-0.672119\pi\)
−0.0171285 + 0.999853i \(0.505452\pi\)
\(8\) 7.34447i 2.59666i
\(9\) 4.14778 + 2.39472i 1.38259 + 0.798241i
\(10\) 1.37151 5.11853i 0.433708 1.61862i
\(11\) 2.06835 + 2.06835i 0.623630 + 0.623630i 0.946458 0.322827i \(-0.104633\pi\)
−0.322827 + 0.946458i \(0.604633\pi\)
\(12\) −12.9769 3.47716i −3.74612 1.00377i
\(13\) 2.11987 3.67171i 0.587945 1.01835i −0.406556 0.913626i \(-0.633271\pi\)
0.994501 0.104725i \(-0.0333961\pi\)
\(14\) 0.984266 + 3.67333i 0.263056 + 0.981739i
\(15\) 4.90677 + 2.83292i 1.26692 + 0.731458i
\(16\) 9.54395 2.38599
\(17\) −3.77722 1.65305i −0.916111 0.400924i
\(18\) 6.25094 10.8269i 1.47336 2.55194i
\(19\) 5.27367 3.04475i 1.20986 0.698515i 0.247133 0.968981i \(-0.420511\pi\)
0.962729 + 0.270467i \(0.0871781\pi\)
\(20\) −9.43909 2.52920i −2.11064 0.565545i
\(21\) −4.06611 −0.887298
\(22\) 5.39900 5.39900i 1.15107 1.15107i
\(23\) 1.69586 6.32905i 0.353612 1.31970i −0.528610 0.848865i \(-0.677287\pi\)
0.882222 0.470833i \(-0.156047\pi\)
\(24\) −5.30530 + 19.7996i −1.08294 + 4.04159i
\(25\) −0.761068 0.439403i −0.152214 0.0878806i
\(26\) −9.58427 5.53348i −1.87963 1.08520i
\(27\) 3.53148 + 3.53148i 0.679634 + 0.679634i
\(28\) 6.77399 1.81509i 1.28016 0.343019i
\(29\) 2.41210 + 9.00207i 0.447915 + 1.67164i 0.708123 + 0.706089i \(0.249542\pi\)
−0.260208 + 0.965553i \(0.583791\pi\)
\(30\) 7.39477 12.8081i 1.35009 2.33843i
\(31\) −0.304369 0.0815554i −0.0546663 0.0146478i 0.231382 0.972863i \(-0.425675\pi\)
−0.286049 + 0.958215i \(0.592342\pi\)
\(32\) 10.2236i 1.80729i
\(33\) 4.08190 + 7.07005i 0.710567 + 1.23074i
\(34\) −4.31496 + 9.85968i −0.740010 + 1.69092i
\(35\) −2.95759 −0.499924
\(36\) −19.9660 11.5274i −3.32766 1.92123i
\(37\) 6.80362 + 1.82303i 1.11851 + 0.299704i 0.770280 0.637706i \(-0.220116\pi\)
0.348229 + 0.937409i \(0.386783\pi\)
\(38\) −7.94771 13.7658i −1.28929 2.23311i
\(39\) 8.36713 8.36713i 1.33981 1.33981i
\(40\) −3.85894 + 14.4018i −0.610152 + 2.27712i
\(41\) −1.58403 1.58403i −0.247384 0.247384i 0.572512 0.819896i \(-0.305969\pi\)
−0.819896 + 0.572512i \(0.805969\pi\)
\(42\) 10.6138i 1.63774i
\(43\) −4.57115 + 4.70156i −0.697093 + 0.716980i
\(44\) −9.95631 9.95631i −1.50097 1.50097i
\(45\) 6.87514 + 6.87514i 1.02489 + 1.02489i
\(46\) −16.5207 4.42671i −2.43584 0.652683i
\(47\) −2.60945 −0.380628 −0.190314 0.981723i \(-0.560951\pi\)
−0.190314 + 0.981723i \(0.560951\pi\)
\(48\) 25.7291 + 6.89410i 3.71368 + 0.995077i
\(49\) −4.22402 + 2.43874i −0.603431 + 0.348391i
\(50\) −1.14697 + 1.98661i −0.162206 + 0.280950i
\(51\) −8.98877 7.18489i −1.25868 1.00609i
\(52\) −10.2043 + 17.6744i −1.41508 + 2.45099i
\(53\) 2.38615 1.37764i 0.327763 0.189234i −0.327085 0.944995i \(-0.606066\pi\)
0.654847 + 0.755761i \(0.272733\pi\)
\(54\) 9.21821 9.21821i 1.25444 1.25444i
\(55\) 2.96907 + 5.14258i 0.400349 + 0.693425i
\(56\) −2.76938 10.3355i −0.370074 1.38114i
\(57\) 16.4165 4.39878i 2.17441 0.582632i
\(58\) 23.4981 6.29629i 3.08545 0.826743i
\(59\) 5.10340i 0.664407i 0.943208 + 0.332203i \(0.107792\pi\)
−0.943208 + 0.332203i \(0.892208\pi\)
\(60\) −23.6195 13.6367i −3.04926 1.76049i
\(61\) −10.1300 + 2.71433i −1.29701 + 0.347534i −0.840320 0.542090i \(-0.817633\pi\)
−0.456693 + 0.889624i \(0.650966\pi\)
\(62\) −0.212884 + 0.794494i −0.0270363 + 0.100901i
\(63\) −6.73993 1.80596i −0.849151 0.227529i
\(64\) −7.59874 −0.949842
\(65\) 6.08604 6.08604i 0.754880 0.754880i
\(66\) 18.4549 10.6550i 2.27165 1.31154i
\(67\) −1.64435 2.84810i −0.200889 0.347950i 0.747926 0.663782i \(-0.231050\pi\)
−0.948815 + 0.315832i \(0.897716\pi\)
\(68\) 18.1822 + 7.95723i 2.20492 + 0.964956i
\(69\) 9.14362 15.8372i 1.10076 1.90658i
\(70\) 7.72018i 0.922738i
\(71\) −0.0110346 0.0411817i −0.00130957 0.00488737i 0.965268 0.261262i \(-0.0841386\pi\)
−0.966578 + 0.256375i \(0.917472\pi\)
\(72\) −17.5880 + 30.4633i −2.07276 + 3.59013i
\(73\) 0.935282 + 3.49052i 0.109466 + 0.408534i 0.998814 0.0486983i \(-0.0155073\pi\)
−0.889347 + 0.457233i \(0.848841\pi\)
\(74\) 4.75864 17.7595i 0.553181 2.06450i
\(75\) −1.73433 1.73433i −0.200263 0.200263i
\(76\) −25.3856 + 14.6564i −2.91193 + 1.68120i
\(77\) −3.69059 2.13076i −0.420581 0.242823i
\(78\) −21.8407 21.8407i −2.47297 2.47297i
\(79\) −8.71713 + 2.33575i −0.980753 + 0.262792i −0.713362 0.700796i \(-0.752828\pi\)
−0.267391 + 0.963588i \(0.586162\pi\)
\(80\) 18.7147 + 5.01459i 2.09237 + 0.560649i
\(81\) −0.214773 0.371998i −0.0238637 0.0413331i
\(82\) −4.13480 + 4.13480i −0.456612 + 0.456612i
\(83\) −8.30193 + 4.79312i −0.911255 + 0.526114i −0.880835 0.473424i \(-0.843018\pi\)
−0.0304206 + 0.999537i \(0.509685\pi\)
\(84\) 19.5729 2.13557
\(85\) −6.53820 5.22611i −0.709168 0.566851i
\(86\) 12.2725 + 11.9321i 1.32337 + 1.28667i
\(87\) 26.0107i 2.78864i
\(88\) −15.1909 + 15.1909i −1.61936 + 1.61936i
\(89\) 3.49123 + 6.04699i 0.370070 + 0.640980i 0.989576 0.144012i \(-0.0460004\pi\)
−0.619506 + 0.784992i \(0.712667\pi\)
\(90\) 17.9462 17.9462i 1.89169 1.89169i
\(91\) −1.59868 + 5.96634i −0.167587 + 0.625443i
\(92\) −8.16330 + 30.4658i −0.851083 + 3.17628i
\(93\) −0.761624 0.439724i −0.0789767 0.0455972i
\(94\) 6.81145i 0.702548i
\(95\) 11.9409 3.19956i 1.22511 0.328268i
\(96\) 7.38505 27.5614i 0.753733 2.81297i
\(97\) 4.86122 4.86122i 0.493583 0.493583i −0.415850 0.909433i \(-0.636516\pi\)
0.909433 + 0.415850i \(0.136516\pi\)
\(98\) 6.36583 + 11.0259i 0.643046 + 1.11379i
\(99\) 3.62594 + 13.5322i 0.364420 + 1.36003i
\(100\) 3.66352 + 2.11513i 0.366352 + 0.211513i
\(101\) −4.79604 + 8.30699i −0.477224 + 0.826577i −0.999659 0.0261025i \(-0.991690\pi\)
0.522435 + 0.852679i \(0.325024\pi\)
\(102\) −18.7547 + 23.4634i −1.85699 + 2.32322i
\(103\) −5.98597 + 10.3680i −0.589815 + 1.02159i 0.404441 + 0.914564i \(0.367466\pi\)
−0.994256 + 0.107026i \(0.965867\pi\)
\(104\) 26.9668 + 15.5693i 2.64431 + 1.52669i
\(105\) −7.97324 2.13642i −0.778108 0.208493i
\(106\) −3.59606 6.22856i −0.349280 0.604971i
\(107\) −9.54668 + 9.54668i −0.922912 + 0.922912i −0.997234 0.0743222i \(-0.976321\pi\)
0.0743222 + 0.997234i \(0.476321\pi\)
\(108\) −16.9993 16.9993i −1.63576 1.63576i
\(109\) −2.88976 + 10.7847i −0.276789 + 1.03299i 0.677844 + 0.735206i \(0.262914\pi\)
−0.954633 + 0.297785i \(0.903752\pi\)
\(110\) 13.4237 7.75015i 1.27990 0.738948i
\(111\) 17.0247 + 9.82924i 1.61592 + 0.932950i
\(112\) −13.4307 + 3.59874i −1.26908 + 0.340049i
\(113\) −12.6531 12.6531i −1.19030 1.19030i −0.976983 0.213318i \(-0.931573\pi\)
−0.213318 0.976983i \(-0.568427\pi\)
\(114\) −11.4821 42.8518i −1.07540 4.01344i
\(115\) 6.65084 11.5196i 0.620194 1.07421i
\(116\) −11.6110 43.3328i −1.07805 4.02335i
\(117\) 17.5855 10.1530i 1.62578 0.938643i
\(118\) 13.3214 1.22633
\(119\) 5.93880 + 0.901974i 0.544409 + 0.0826838i
\(120\) −20.8063 + 36.0376i −1.89935 + 3.28977i
\(121\) 2.44387i 0.222170i
\(122\) 7.08520 + 26.4423i 0.641463 + 2.39397i
\(123\) −3.12610 5.41456i −0.281871 0.488214i
\(124\) 1.46513 + 0.392579i 0.131572 + 0.0352547i
\(125\) −8.43890 8.43890i −0.754798 0.754798i
\(126\) −4.71409 + 17.5932i −0.419964 + 1.56733i
\(127\) 14.2926i 1.26826i 0.773227 + 0.634130i \(0.218642\pi\)
−0.773227 + 0.634130i \(0.781358\pi\)
\(128\) 0.612233i 0.0541143i
\(129\) −15.7193 + 9.37274i −1.38401 + 0.825224i
\(130\) −15.8864 15.8864i −1.39333 1.39333i
\(131\) 6.12143 6.12143i 0.534832 0.534832i −0.387175 0.922006i \(-0.626549\pi\)
0.922006 + 0.387175i \(0.126549\pi\)
\(132\) −19.6488 34.0328i −1.71021 2.96217i
\(133\) −6.27326 + 6.27326i −0.543961 + 0.543961i
\(134\) −7.43438 + 4.29224i −0.642233 + 0.370793i
\(135\) 5.06936 + 8.78039i 0.436301 + 0.755696i
\(136\) 12.1408 27.7417i 1.04107 2.37883i
\(137\) 3.89560 0.332824 0.166412 0.986056i \(-0.446782\pi\)
0.166412 + 0.986056i \(0.446782\pi\)
\(138\) −41.3398 23.8676i −3.51908 2.03174i
\(139\) −16.2770 4.36141i −1.38060 0.369930i −0.509259 0.860614i \(-0.670080\pi\)
−0.871338 + 0.490684i \(0.836747\pi\)
\(140\) 14.2368 1.20323
\(141\) −7.03472 1.88495i −0.592430 0.158741i
\(142\) −0.107496 + 0.0288036i −0.00902090 + 0.00241714i
\(143\) 11.9790 3.20976i 1.00173 0.268414i
\(144\) 39.5862 + 22.8551i 3.29885 + 1.90459i
\(145\) 18.9195i 1.57118i
\(146\) 9.11130 2.44136i 0.754056 0.202049i
\(147\) −13.1490 + 3.52326i −1.08451 + 0.290594i
\(148\) −32.7503 8.77541i −2.69206 0.721334i
\(149\) −5.20941 9.02296i −0.426771 0.739190i 0.569813 0.821775i \(-0.307016\pi\)
−0.996584 + 0.0825848i \(0.973682\pi\)
\(150\) −4.52711 + 4.52711i −0.369637 + 0.369637i
\(151\) 19.2659i 1.56784i −0.620864 0.783918i \(-0.713218\pi\)
0.620864 0.783918i \(-0.286782\pi\)
\(152\) 22.3621 + 38.7323i 1.81381 + 3.14160i
\(153\) −11.7085 15.9019i −0.946575 1.28559i
\(154\) −5.56192 + 9.63353i −0.448192 + 0.776292i
\(155\) −0.553986 0.319844i −0.0444972 0.0256905i
\(156\) −40.2765 + 40.2765i −3.22470 + 3.22470i
\(157\) 12.1615 21.0644i 0.970595 1.68112i 0.276828 0.960920i \(-0.410717\pi\)
0.693767 0.720200i \(-0.255950\pi\)
\(158\) 6.09699 + 22.7543i 0.485051 + 1.81023i
\(159\) 7.42786 1.99029i 0.589068 0.157840i
\(160\) 5.37170 20.0474i 0.424670 1.58489i
\(161\) 9.54599i 0.752329i
\(162\) −0.971025 + 0.560622i −0.0762910 + 0.0440466i
\(163\) 17.5671 4.70709i 1.37596 0.368687i 0.506308 0.862353i \(-0.331010\pi\)
0.869652 + 0.493665i \(0.164343\pi\)
\(164\) 7.62498 + 7.62498i 0.595411 + 0.595411i
\(165\) 4.28943 + 16.0084i 0.333932 + 1.24625i
\(166\) 12.5115 + 21.6705i 0.971079 + 1.68196i
\(167\) 3.93420 + 1.05417i 0.304438 + 0.0815738i 0.407804 0.913070i \(-0.366295\pi\)
−0.103366 + 0.994643i \(0.532961\pi\)
\(168\) 29.8634i 2.30401i
\(169\) −2.48766 4.30875i −0.191358 0.331442i
\(170\) −13.6417 + 17.0667i −1.04627 + 1.30895i
\(171\) 29.1654 2.23033
\(172\) 22.0039 22.6317i 1.67778 1.72565i
\(173\) 13.9368 13.9368i 1.05960 1.05960i 0.0614884 0.998108i \(-0.480415\pi\)
0.998108 0.0614884i \(-0.0195847\pi\)
\(174\) 67.8956 5.14715
\(175\) 1.23670 + 0.331372i 0.0934854 + 0.0250493i
\(176\) 19.7402 + 19.7402i 1.48797 + 1.48797i
\(177\) −3.68646 + 13.7581i −0.277091 + 1.03412i
\(178\) 15.7845 9.11316i 1.18309 0.683060i
\(179\) 2.58773 + 1.49403i 0.193416 + 0.111669i 0.593581 0.804774i \(-0.297714\pi\)
−0.400165 + 0.916443i \(0.631047\pi\)
\(180\) −33.0946 33.0946i −2.46672 2.46672i
\(181\) 10.7524 2.88111i 0.799222 0.214151i 0.163980 0.986464i \(-0.447567\pi\)
0.635243 + 0.772313i \(0.280900\pi\)
\(182\) 15.5739 + 4.17302i 1.15442 + 0.309325i
\(183\) −29.2697 −2.16368
\(184\) 46.4835 + 12.4552i 3.42681 + 0.918211i
\(185\) 12.3834 + 7.14954i 0.910443 + 0.525645i
\(186\) −1.14781 + 1.98806i −0.0841615 + 0.145772i
\(187\) −4.39352 11.2317i −0.321286 0.821343i
\(188\) 12.5610 0.916105
\(189\) −6.30128 3.63804i −0.458350 0.264629i
\(190\) −8.35180 31.1693i −0.605903 2.26126i
\(191\) 10.5360 + 18.2488i 0.762356 + 1.32044i 0.941633 + 0.336641i \(0.109291\pi\)
−0.179277 + 0.983799i \(0.557376\pi\)
\(192\) −20.4851 5.48897i −1.47839 0.396132i
\(193\) −12.4898 12.4898i −0.899034 0.899034i 0.0963165 0.995351i \(-0.469294\pi\)
−0.995351 + 0.0963165i \(0.969294\pi\)
\(194\) −12.6892 12.6892i −0.911035 0.911035i
\(195\) 20.8034 12.0108i 1.48976 0.860114i
\(196\) 20.3330 11.7392i 1.45235 0.838517i
\(197\) −5.82690 + 1.56131i −0.415149 + 0.111239i −0.460347 0.887739i \(-0.652275\pi\)
0.0451976 + 0.998978i \(0.485608\pi\)
\(198\) 35.3230 9.46477i 2.51030 0.672632i
\(199\) −15.8473 + 15.8473i −1.12338 + 1.12338i −0.132154 + 0.991229i \(0.542189\pi\)
−0.991229 + 0.132154i \(0.957811\pi\)
\(200\) 3.22718 5.58964i 0.228196 0.395247i
\(201\) −2.37560 8.86587i −0.167562 0.625350i
\(202\) 21.6837 + 12.5191i 1.52566 + 0.880841i
\(203\) −6.78882 11.7586i −0.476482 0.825291i
\(204\) 43.2688 + 34.5856i 3.02942 + 2.42147i
\(205\) −2.27384 3.93841i −0.158812 0.275071i
\(206\) 27.0636 + 15.6252i 1.88561 + 1.08866i
\(207\) 22.1904 22.1904i 1.54234 1.54234i
\(208\) 20.2319 35.0426i 1.40283 2.42977i
\(209\) 17.2054 + 4.61017i 1.19012 + 0.318892i
\(210\) −5.57670 + 20.8125i −0.384829 + 1.43620i
\(211\) −5.21360 5.21360i −0.358919 0.358919i 0.504495 0.863414i \(-0.331679\pi\)
−0.863414 + 0.504495i \(0.831679\pi\)
\(212\) −11.4861 + 6.63150i −0.788868 + 0.455453i
\(213\) 0.118991i 0.00815312i
\(214\) 24.9197 + 24.9197i 1.70347 + 1.70347i
\(215\) −11.4339 + 6.81750i −0.779783 + 0.464950i
\(216\) −25.9369 + 25.9369i −1.76478 + 1.76478i
\(217\) 0.459074 0.0311640
\(218\) 28.1514 + 7.54314i 1.90665 + 0.510886i
\(219\) 10.0856i 0.681518i
\(220\) −14.2921 24.7546i −0.963571 1.66895i
\(221\) −14.0767 + 10.3646i −0.946904 + 0.697201i
\(222\) 25.6572 44.4396i 1.72200 2.98259i
\(223\) 0.414749i 0.0277736i 0.999904 + 0.0138868i \(0.00442046\pi\)
−0.999904 + 0.0138868i \(0.995580\pi\)
\(224\) 3.85501 + 14.3871i 0.257574 + 0.961279i
\(225\) −2.10450 3.64509i −0.140300 0.243006i
\(226\) −33.0283 + 33.0283i −2.19701 + 2.19701i
\(227\) 4.23648 15.8107i 0.281185 1.04940i −0.670398 0.742002i \(-0.733876\pi\)
0.951582 0.307394i \(-0.0994569\pi\)
\(228\) −79.0231 + 21.1742i −5.23343 + 1.40229i
\(229\) 16.7665 + 9.68017i 1.10796 + 0.639684i 0.938301 0.345818i \(-0.112399\pi\)
0.169663 + 0.985502i \(0.445732\pi\)
\(230\) −30.0695 17.3607i −1.98273 1.14473i
\(231\) −8.41014 8.41014i −0.553346 0.553346i
\(232\) −66.1154 + 17.7156i −4.34069 + 1.16308i
\(233\) −1.38744 5.17799i −0.0908941 0.339221i 0.905471 0.424408i \(-0.139518\pi\)
−0.996365 + 0.0851870i \(0.972851\pi\)
\(234\) −26.5023 45.9033i −1.73251 3.00079i
\(235\) −5.11688 1.37106i −0.333788 0.0894383i
\(236\) 24.5660i 1.59911i
\(237\) −25.1874 −1.63610
\(238\) 2.35442 15.5020i 0.152614 1.00485i
\(239\) 6.93454 + 12.0110i 0.448558 + 0.776925i 0.998292 0.0584144i \(-0.0186045\pi\)
−0.549735 + 0.835339i \(0.685271\pi\)
\(240\) 46.8299 + 27.0373i 3.02286 + 1.74525i
\(241\) −5.32374 19.8685i −0.342932 1.27984i −0.895009 0.446048i \(-0.852831\pi\)
0.552077 0.833793i \(-0.313835\pi\)
\(242\) −6.37923 −0.410073
\(243\) −4.18812 15.6303i −0.268668 1.00268i
\(244\) 48.7623 13.0658i 3.12169 0.836453i
\(245\) −9.56424 + 2.56273i −0.611037 + 0.163727i
\(246\) −14.1336 + 8.16004i −0.901126 + 0.520265i
\(247\) 25.8179i 1.64275i
\(248\) 0.598981 2.23543i 0.0380354 0.141950i
\(249\) −25.8432 + 6.92465i −1.63774 + 0.438832i
\(250\) −22.0280 + 22.0280i −1.39317 + 1.39317i
\(251\) −0.651348 + 1.12817i −0.0411127 + 0.0712093i −0.885850 0.463973i \(-0.846424\pi\)
0.844737 + 0.535182i \(0.179757\pi\)
\(252\) 32.4437 + 8.69325i 2.04376 + 0.547623i
\(253\) 16.5983 9.58304i 1.04353 0.602481i
\(254\) 37.3078 2.34090
\(255\) −13.8510 18.8117i −0.867382 1.17804i
\(256\) −16.7956 −1.04972
\(257\) 0.937829i 0.0585002i −0.999572 0.0292501i \(-0.990688\pi\)
0.999572 0.0292501i \(-0.00931192\pi\)
\(258\) 24.4657 + 41.0322i 1.52316 + 2.55455i
\(259\) −10.2618 −0.637636
\(260\) −29.2961 + 29.2961i −1.81687 + 1.81687i
\(261\) −11.5526 + 43.1149i −0.715088 + 2.66875i
\(262\) −15.9787 15.9787i −0.987170 0.987170i
\(263\) 12.8018 7.39114i 0.789394 0.455757i −0.0503549 0.998731i \(-0.516035\pi\)
0.839749 + 0.542974i \(0.182702\pi\)
\(264\) −51.9258 + 29.9794i −3.19581 + 1.84510i
\(265\) 5.40284 1.44769i 0.331894 0.0889307i
\(266\) 16.3751 + 16.3751i 1.00402 + 1.00402i
\(267\) 5.04381 + 18.8237i 0.308676 + 1.15199i
\(268\) 7.91533 + 13.7098i 0.483506 + 0.837456i
\(269\) 3.85407 3.85407i 0.234987 0.234987i −0.579783 0.814771i \(-0.696863\pi\)
0.814771 + 0.579783i \(0.196863\pi\)
\(270\) 22.9194 13.2325i 1.39483 0.805307i
\(271\) −7.94650 + 13.7637i −0.482716 + 0.836088i −0.999803 0.0198446i \(-0.993683\pi\)
0.517087 + 0.855933i \(0.327016\pi\)
\(272\) −36.0496 15.7767i −2.18583 0.956600i
\(273\) −8.61961 + 14.9296i −0.521683 + 0.903581i
\(274\) 10.1687i 0.614312i
\(275\) −0.665316 2.48299i −0.0401200 0.149730i
\(276\) −44.0142 + 76.2348i −2.64934 + 4.58880i
\(277\) 3.20946 + 0.859972i 0.192838 + 0.0516707i 0.353945 0.935266i \(-0.384840\pi\)
−0.161108 + 0.986937i \(0.551507\pi\)
\(278\) −11.3846 + 42.4878i −0.682801 + 2.54825i
\(279\) −1.06715 1.06715i −0.0638888 0.0638888i
\(280\) 21.7219i 1.29813i
\(281\) 13.2240 7.63489i 0.788879 0.455459i −0.0506891 0.998714i \(-0.516142\pi\)
0.839568 + 0.543255i \(0.182808\pi\)
\(282\) −4.92027 + 18.3627i −0.292998 + 1.09348i
\(283\) −12.2477 + 3.28177i −0.728052 + 0.195081i −0.603762 0.797165i \(-0.706332\pi\)
−0.124291 + 0.992246i \(0.539665\pi\)
\(284\) 0.0531167 + 0.198234i 0.00315190 + 0.0117630i
\(285\) 34.5022 2.04374
\(286\) −8.37844 31.2688i −0.495428 1.84896i
\(287\) 2.82641 + 1.63183i 0.166838 + 0.0963239i
\(288\) 24.4827 42.4052i 1.44266 2.49875i
\(289\) 11.5348 + 12.4879i 0.678519 + 0.734583i
\(290\) 49.3856 2.90002
\(291\) 16.6167 9.59365i 0.974088 0.562390i
\(292\) −4.50212 16.8022i −0.263467 0.983272i
\(293\) 31.2793 1.82736 0.913678 0.406440i \(-0.133230\pi\)
0.913678 + 0.406440i \(0.133230\pi\)
\(294\) 9.19676 + 34.3228i 0.536366 + 2.00174i
\(295\) −2.68144 + 10.0073i −0.156119 + 0.582645i
\(296\) −13.3892 + 49.9690i −0.778229 + 2.90439i
\(297\) 14.6087i 0.847681i
\(298\) −23.5526 + 13.5981i −1.36437 + 0.787717i
\(299\) −19.6435 19.6435i −1.13601 1.13601i
\(300\) 8.34845 + 8.34845i 0.481998 + 0.481998i
\(301\) 4.65991 8.33989i 0.268593 0.480703i
\(302\) −50.2897 −2.89385
\(303\) −18.9300 + 18.9300i −1.08750 + 1.08750i
\(304\) 50.3316 29.0590i 2.88672 1.66665i
\(305\) −21.2901 −1.21907
\(306\) −41.5087 + 30.5626i −2.37290 + 1.74715i
\(307\) 0.896544 + 1.55286i 0.0511685 + 0.0886264i 0.890475 0.455032i \(-0.150372\pi\)
−0.839307 + 0.543658i \(0.817039\pi\)
\(308\) 17.7652 + 10.2567i 1.01227 + 0.584432i
\(309\) −23.6267 + 23.6267i −1.34408 + 1.34408i
\(310\) −0.834888 + 1.44607i −0.0474184 + 0.0821312i
\(311\) 10.3449 + 2.77192i 0.586608 + 0.157181i 0.539902 0.841728i \(-0.318461\pi\)
0.0467054 + 0.998909i \(0.485128\pi\)
\(312\) 61.4521 + 61.4521i 3.47904 + 3.47904i
\(313\) −0.175601 + 0.655353i −0.00992557 + 0.0370427i −0.970711 0.240250i \(-0.922771\pi\)
0.960785 + 0.277293i \(0.0894372\pi\)
\(314\) −54.9843 31.7452i −3.10294 1.79148i
\(315\) −12.2674 7.08260i −0.691191 0.399059i
\(316\) 41.9612 11.2435i 2.36050 0.632495i
\(317\) −3.14971 3.14971i −0.176905 0.176905i 0.613100 0.790005i \(-0.289922\pi\)
−0.790005 + 0.613100i \(0.789922\pi\)
\(318\) −5.19525 19.3889i −0.291335 1.08728i
\(319\) −13.6304 + 23.6085i −0.763153 + 1.32182i
\(320\) −14.9004 3.99254i −0.832955 0.223190i
\(321\) −32.6326 + 18.8404i −1.82137 + 1.05157i
\(322\) 24.9179 1.38862
\(323\) −24.9530 + 2.78306i −1.38842 + 0.154853i
\(324\) 1.03384 + 1.79067i 0.0574357 + 0.0994816i
\(325\) −3.22672 + 1.86295i −0.178986 + 0.103338i
\(326\) −12.2869 45.8553i −0.680508 2.53969i
\(327\) −15.5808 + 26.9867i −0.861619 + 1.49237i
\(328\) 11.6339 11.6339i 0.642373 0.642373i
\(329\) 3.67214 0.983948i 0.202452 0.0542468i
\(330\) 41.7866 11.1967i 2.30028 0.616358i
\(331\) 4.59514 + 2.65301i 0.252572 + 0.145822i 0.620941 0.783857i \(-0.286751\pi\)
−0.368369 + 0.929679i \(0.620084\pi\)
\(332\) 39.9626 23.0724i 2.19323 1.26626i
\(333\) 23.8543 + 23.8543i 1.30721 + 1.30721i
\(334\) 2.75169 10.2694i 0.150566 0.561919i
\(335\) −1.72795 6.44881i −0.0944082 0.352336i
\(336\) −38.8068 −2.11708
\(337\) −6.92504 25.8446i −0.377231 1.40785i −0.850057 0.526690i \(-0.823433\pi\)
0.472826 0.881156i \(-0.343234\pi\)
\(338\) −11.2471 + 6.49353i −0.611763 + 0.353201i
\(339\) −24.9709 43.2509i −1.35623 2.34906i
\(340\) 31.4726 + 25.1567i 1.70684 + 1.36431i
\(341\) −0.460856 0.798226i −0.0249568 0.0432264i
\(342\) 76.1303i 4.11665i
\(343\) 12.2359 12.2359i 0.660676 0.660676i
\(344\) −34.5304 33.5726i −1.86176 1.81012i
\(345\) 26.2509 26.2509i 1.41330 1.41330i
\(346\) −36.3792 36.3792i −1.95576 1.95576i
\(347\) 6.69868 24.9998i 0.359604 1.34206i −0.514986 0.857198i \(-0.672203\pi\)
0.874590 0.484863i \(-0.161130\pi\)
\(348\) 125.206i 6.71177i
\(349\) −10.8088 + 6.24049i −0.578584 + 0.334046i −0.760571 0.649255i \(-0.775081\pi\)
0.181986 + 0.983301i \(0.441747\pi\)
\(350\) 0.864978 3.22814i 0.0462350 0.172551i
\(351\) 20.4529 5.48033i 1.09169 0.292518i
\(352\) 21.1460 21.1460i 1.12708 1.12708i
\(353\) −17.8474 + 30.9126i −0.949920 + 1.64531i −0.204334 + 0.978901i \(0.565503\pi\)
−0.745586 + 0.666409i \(0.767830\pi\)
\(354\) 35.9126 + 9.62276i 1.90873 + 0.511444i
\(355\) 0.0865510i 0.00459365i
\(356\) −16.8056 29.1081i −0.890694 1.54273i
\(357\) 15.3586 + 6.72150i 0.812864 + 0.355740i
\(358\) 3.89986 6.75476i 0.206114 0.357000i
\(359\) 9.65125 + 5.57215i 0.509374 + 0.294087i 0.732576 0.680685i \(-0.238318\pi\)
−0.223202 + 0.974772i \(0.571651\pi\)
\(360\) −50.4943 + 50.4943i −2.66128 + 2.66128i
\(361\) 9.04106 15.6596i 0.475845 0.824188i
\(362\) −7.52055 28.0671i −0.395271 1.47517i
\(363\) 1.76534 6.58833i 0.0926563 0.345798i
\(364\) 7.69547 28.7199i 0.403352 1.50533i
\(365\) 7.33598i 0.383983i
\(366\) 76.4027i 3.99363i
\(367\) −5.93369 + 22.1448i −0.309736 + 1.15595i 0.619055 + 0.785348i \(0.287516\pi\)
−0.928791 + 0.370603i \(0.879151\pi\)
\(368\) 16.1852 60.4041i 0.843713 3.14878i
\(369\) −2.77690 10.3635i −0.144560 0.539504i
\(370\) 18.6624 32.3243i 0.970213 1.68046i
\(371\) −2.83843 + 2.83843i −0.147364 + 0.147364i
\(372\) 3.66619 + 2.11668i 0.190083 + 0.109745i
\(373\) −4.82731 + 8.36114i −0.249949 + 0.432924i −0.963511 0.267668i \(-0.913747\pi\)
0.713563 + 0.700591i \(0.247080\pi\)
\(374\) −29.3181 + 11.4684i −1.51600 + 0.593017i
\(375\) −16.6542 28.8459i −0.860020 1.48960i
\(376\) 19.1651i 0.988362i
\(377\) 38.1663 + 10.2266i 1.96567 + 0.526699i
\(378\) −9.49638 + 16.4482i −0.488441 + 0.846004i
\(379\) 20.7416 20.7416i 1.06542 1.06542i 0.0677190 0.997704i \(-0.478428\pi\)
0.997704 0.0677190i \(-0.0215721\pi\)
\(380\) −57.4794 + 15.4016i −2.94863 + 0.790083i
\(381\) −10.3243 + 38.5307i −0.528929 + 1.97399i
\(382\) 47.6349 27.5020i 2.43721 1.40713i
\(383\) 18.3729i 0.938809i 0.882983 + 0.469405i \(0.155531\pi\)
−0.882983 + 0.469405i \(0.844469\pi\)
\(384\) 0.442248 1.65049i 0.0225684 0.0842264i
\(385\) −6.11732 6.11732i −0.311768 0.311768i
\(386\) −32.6020 + 32.6020i −1.65940 + 1.65940i
\(387\) −30.2190 + 8.55440i −1.53612 + 0.434844i
\(388\) −23.4002 + 23.4002i −1.18797 + 1.18797i
\(389\) 5.34981i 0.271246i −0.990761 0.135623i \(-0.956696\pi\)
0.990761 0.135623i \(-0.0433036\pi\)
\(390\) −31.3518 54.3030i −1.58756 2.74974i
\(391\) −16.8679 + 21.1029i −0.853047 + 1.06722i
\(392\) −17.9112 31.0232i −0.904655 1.56691i
\(393\) 20.9243 12.0807i 1.05549 0.609389i
\(394\) 4.07549 + 15.2099i 0.205320 + 0.766265i
\(395\) −18.3207 −0.921812
\(396\) −17.4540 65.1392i −0.877096 3.27337i
\(397\) −7.45341 + 27.8165i −0.374076 + 1.39607i 0.480614 + 0.876932i \(0.340414\pi\)
−0.854690 + 0.519139i \(0.826253\pi\)
\(398\) 41.3661 + 41.3661i 2.07349 + 2.07349i
\(399\) −21.4433 + 12.3803i −1.07351 + 0.619791i
\(400\) −7.26359 4.19364i −0.363180 0.209682i
\(401\) 20.2259 5.41952i 1.01003 0.270638i 0.284391 0.958709i \(-0.408209\pi\)
0.725644 + 0.688071i \(0.241542\pi\)
\(402\) −23.1426 + 6.20103i −1.15425 + 0.309279i
\(403\) −0.944670 + 0.944670i −0.0470573 + 0.0470573i
\(404\) 23.0865 39.9870i 1.14860 1.98943i
\(405\) −0.225693 0.842297i −0.0112148 0.0418541i
\(406\) −30.6934 + 17.7208i −1.52329 + 0.879471i
\(407\) 10.3016 + 17.8429i 0.510632 + 0.884440i
\(408\) 52.7692 66.0177i 2.61246 3.26837i
\(409\) −36.2951 −1.79468 −0.897339 0.441342i \(-0.854502\pi\)
−0.897339 + 0.441342i \(0.854502\pi\)
\(410\) −10.2804 + 5.93541i −0.507714 + 0.293129i
\(411\) 10.5020 + 2.81400i 0.518025 + 0.138804i
\(412\) 28.8144 49.9080i 1.41958 2.45879i
\(413\) −1.92434 7.18174i −0.0946907 0.353390i
\(414\) −57.9235 57.9235i −2.84679 2.84679i
\(415\) −18.7977 + 5.03682i −0.922741 + 0.247248i
\(416\) −37.5381 21.6726i −1.84046 1.06259i
\(417\) −40.7300 23.5155i −1.99456 1.15156i
\(418\) 12.0339 44.9112i 0.588598 2.19668i
\(419\) 17.4145 + 17.4145i 0.850753 + 0.850753i 0.990226 0.139473i \(-0.0445408\pi\)
−0.139473 + 0.990226i \(0.544541\pi\)
\(420\) 38.3804 + 10.2840i 1.87277 + 0.501808i
\(421\) 10.5906 18.3435i 0.516155 0.894006i −0.483669 0.875251i \(-0.660696\pi\)
0.999824 0.0187555i \(-0.00597040\pi\)
\(422\) −13.6090 + 13.6090i −0.662478 + 0.662478i
\(423\) −10.8234 6.24892i −0.526254 0.303833i
\(424\) 10.1181 + 17.5250i 0.491376 + 0.851089i
\(425\) 2.14837 + 2.91781i 0.104211 + 0.141535i
\(426\) −0.310602 −0.0150487
\(427\) 13.2319 7.63944i 0.640337 0.369699i
\(428\) 45.9544 45.9544i 2.22129 2.22129i
\(429\) 34.6123 1.67110
\(430\) 17.7957 + 29.8458i 0.858185 + 1.43929i
\(431\) 0.247165 + 0.247165i 0.0119055 + 0.0119055i 0.713034 0.701129i \(-0.247320\pi\)
−0.701129 + 0.713034i \(0.747320\pi\)
\(432\) 33.7043 + 33.7043i 1.62160 + 1.62160i
\(433\) −16.3599 + 9.44542i −0.786209 + 0.453918i −0.838626 0.544707i \(-0.816641\pi\)
0.0524172 + 0.998625i \(0.483307\pi\)
\(434\) 1.19832i 0.0575212i
\(435\) −13.6666 + 51.0043i −0.655262 + 2.44547i
\(436\) 13.9103 51.9140i 0.666183 2.48623i
\(437\) −10.3270 38.5408i −0.494006 1.84366i
\(438\) 26.3263 1.25792
\(439\) 3.31899 + 12.3866i 0.158407 + 0.591182i 0.998790 + 0.0491884i \(0.0156635\pi\)
−0.840383 + 0.541993i \(0.817670\pi\)
\(440\) −37.7695 + 21.8062i −1.80059 + 1.03957i
\(441\) −23.3604 −1.11240
\(442\) 27.0548 + 36.7445i 1.28686 + 1.74776i
\(443\) 4.79740 8.30935i 0.227931 0.394789i −0.729263 0.684233i \(-0.760137\pi\)
0.957195 + 0.289444i \(0.0934704\pi\)
\(444\) −81.9512 47.3145i −3.88923 2.24545i
\(445\) 3.66874 + 13.6919i 0.173915 + 0.649059i
\(446\) 1.08262 0.0512635
\(447\) −7.52607 28.0877i −0.355971 1.32850i
\(448\) 10.6933 2.86526i 0.505210 0.135371i
\(449\) −9.09425 + 33.9402i −0.429184 + 1.60174i 0.325428 + 0.945567i \(0.394492\pi\)
−0.754612 + 0.656171i \(0.772175\pi\)
\(450\) −9.51478 + 5.49336i −0.448531 + 0.258960i
\(451\) 6.55266i 0.308553i
\(452\) 60.9075 + 60.9075i 2.86485 + 2.86485i
\(453\) 13.9168 51.9381i 0.653867 2.44027i
\(454\) −41.2707 11.0585i −1.93693 0.518999i
\(455\) −6.26969 + 10.8594i −0.293927 + 0.509097i
\(456\) 32.3067 + 120.570i 1.51290 + 5.64621i
\(457\) 15.3736i 0.719146i 0.933117 + 0.359573i \(0.117078\pi\)
−0.933117 + 0.359573i \(0.882922\pi\)
\(458\) 25.2681 43.7657i 1.18070 2.04504i
\(459\) −7.50146 19.1769i −0.350138 0.895102i
\(460\) −32.0148 + 55.4513i −1.49270 + 2.58543i
\(461\) −14.6472 + 8.45658i −0.682189 + 0.393862i −0.800679 0.599093i \(-0.795528\pi\)
0.118490 + 0.992955i \(0.462195\pi\)
\(462\) −21.9530 + 21.9530i −1.02134 + 1.02134i
\(463\) 6.37005 + 11.0332i 0.296041 + 0.512758i 0.975227 0.221208i \(-0.0710001\pi\)
−0.679185 + 0.733967i \(0.737667\pi\)
\(464\) 23.0209 + 85.9152i 1.06872 + 3.98851i
\(465\) −1.26243 1.26243i −0.0585437 0.0585437i
\(466\) −13.5161 + 3.62163i −0.626121 + 0.167769i
\(467\) 18.0100 10.3981i 0.833405 0.481167i −0.0216121 0.999766i \(-0.506880\pi\)
0.855017 + 0.518600i \(0.173547\pi\)
\(468\) −84.6504 + 48.8729i −3.91297 + 2.25915i
\(469\) 3.38794 + 3.38794i 0.156440 + 0.156440i
\(470\) −3.57888 + 13.3566i −0.165082 + 0.616093i
\(471\) 48.0016 48.0016i 2.21180 2.21180i
\(472\) −37.4818 −1.72524
\(473\) −19.1792 + 0.269731i −0.881859 + 0.0124022i
\(474\) 65.7465i 3.01984i
\(475\) −5.35150 −0.245543
\(476\) −28.5873 4.34179i −1.31030 0.199006i
\(477\) 13.1963 0.604217
\(478\) 31.3522 18.1012i 1.43402 0.827930i
\(479\) −8.13667 2.18021i −0.371774 0.0996165i 0.0680942 0.997679i \(-0.478308\pi\)
−0.439868 + 0.898062i \(0.644975\pi\)
\(480\) 28.9627 50.1648i 1.32196 2.28970i
\(481\) 21.1164 21.1164i 0.962825 0.962825i
\(482\) −51.8626 + 13.8965i −2.36228 + 0.632970i
\(483\) −6.89557 + 25.7346i −0.313759 + 1.17097i
\(484\) 11.7640i 0.534725i
\(485\) 12.0866 6.97818i 0.548823 0.316863i
\(486\) −40.7997 + 10.9322i −1.85071 + 0.495896i
\(487\) −8.63453 + 2.31362i −0.391268 + 0.104840i −0.449089 0.893487i \(-0.648251\pi\)
0.0578210 + 0.998327i \(0.481585\pi\)
\(488\) −19.9353 74.3995i −0.902428 3.36791i
\(489\) 50.7586 2.29538
\(490\) 6.68949 + 24.9655i 0.302200 + 1.12783i
\(491\) 15.5547 + 8.98048i 0.701972 + 0.405284i 0.808081 0.589071i \(-0.200506\pi\)
−0.106110 + 0.994354i \(0.533839\pi\)
\(492\) 15.0479 + 26.0638i 0.678414 + 1.17505i
\(493\) 5.76987 37.9901i 0.259862 1.71099i
\(494\) −67.3923 −3.03212
\(495\) 28.4404i 1.27830i
\(496\) −2.90488 0.778361i −0.130433 0.0349494i
\(497\) 0.0310568 + 0.0537919i 0.00139309 + 0.00241290i
\(498\) 18.0754 + 67.4583i 0.809978 + 3.02288i
\(499\) −19.2493 + 5.15783i −0.861716 + 0.230896i −0.662502 0.749060i \(-0.730505\pi\)
−0.199214 + 0.979956i \(0.563839\pi\)
\(500\) 40.6219 + 40.6219i 1.81667 + 1.81667i
\(501\) 9.84457 + 5.68376i 0.439823 + 0.253932i
\(502\) 2.94485 + 1.70021i 0.131435 + 0.0758842i
\(503\) 13.4830 3.61276i 0.601178 0.161085i 0.0546212 0.998507i \(-0.482605\pi\)
0.546557 + 0.837422i \(0.315938\pi\)
\(504\) 13.2638 49.5012i 0.590817 2.20496i
\(505\) −13.7692 + 13.7692i −0.612723 + 0.612723i
\(506\) −25.0146 43.3265i −1.11203 1.92610i
\(507\) −3.59394 13.4128i −0.159612 0.595681i
\(508\) 68.7994i 3.05248i
\(509\) 2.54685 4.41128i 0.112887 0.195527i −0.804046 0.594567i \(-0.797323\pi\)
0.916933 + 0.399041i \(0.130657\pi\)
\(510\) −49.1042 + 36.1552i −2.17437 + 1.60098i
\(511\) −2.63234 4.55935i −0.116448 0.201694i
\(512\) 42.6170i 1.88342i
\(513\) 29.3764 + 7.87137i 1.29700 + 0.347529i
\(514\) −2.44801 −0.107977
\(515\) −17.1855 + 17.1855i −0.757282 + 0.757282i
\(516\) 75.6675 45.1171i 3.33107 1.98617i
\(517\) −5.39726 5.39726i −0.237371 0.237371i
\(518\) 26.7863i 1.17692i
\(519\) 47.6390 27.5044i 2.09112 1.20731i
\(520\) 44.6987 + 44.6987i 1.96017 + 1.96017i
\(521\) 2.85918 10.6706i 0.125263 0.467488i −0.874586 0.484871i \(-0.838867\pi\)
0.999849 + 0.0173825i \(0.00553331\pi\)
\(522\) 112.543 + 30.1557i 4.92586 + 1.31988i
\(523\) −14.6440 + 25.3641i −0.640336 + 1.10910i 0.345021 + 0.938595i \(0.387872\pi\)
−0.985358 + 0.170500i \(0.945462\pi\)
\(524\) −29.4664 + 29.4664i −1.28725 + 1.28725i
\(525\) 3.09459 + 1.78666i 0.135059 + 0.0779763i
\(526\) −19.2931 33.4166i −0.841218 1.45703i
\(527\) 1.01485 + 0.811191i 0.0442077 + 0.0353361i
\(528\) 38.9574 + 67.4762i 1.69540 + 2.93652i
\(529\) −17.2623 9.96641i −0.750536 0.433322i
\(530\) −3.77889 14.1030i −0.164145 0.612596i
\(531\) −12.2212 + 21.1678i −0.530357 + 0.918605i
\(532\) 30.1973 30.1973i 1.30922 1.30922i
\(533\) −9.17405 + 2.45818i −0.397372 + 0.106476i
\(534\) 49.1356 13.1658i 2.12630 0.569741i
\(535\) −23.7361 + 13.7040i −1.02620 + 0.592478i
\(536\) 20.9178 12.0769i 0.903510 0.521642i
\(537\) 5.89695 + 5.89695i 0.254472 + 0.254472i
\(538\) −10.0603 10.0603i −0.433730 0.433730i
\(539\) −13.7809 3.69258i −0.593586 0.159051i
\(540\) −24.4022 42.2658i −1.05010 1.81883i
\(541\) −7.30477 27.2618i −0.314056 1.17207i −0.924865 0.380296i \(-0.875822\pi\)
0.610808 0.791778i \(-0.290845\pi\)
\(542\) 35.9275 + 20.7427i 1.54322 + 0.890977i
\(543\) 31.0682 1.33326
\(544\) −16.9002 + 38.6168i −0.724588 + 1.65568i
\(545\) −11.3331 + 19.6294i −0.485455 + 0.840833i
\(546\) 38.9707 + 22.4997i 1.66779 + 0.962900i
\(547\) 20.9100 + 5.60281i 0.894046 + 0.239559i 0.676458 0.736481i \(-0.263514\pi\)
0.217589 + 0.976041i \(0.430181\pi\)
\(548\) −18.7521 −0.801049
\(549\) −48.5171 13.0001i −2.07066 0.554831i
\(550\) −6.48135 + 1.73667i −0.276366 + 0.0740519i
\(551\) 40.1297 + 40.1297i 1.70958 + 1.70958i
\(552\) 116.316 + 67.1550i 4.95073 + 2.85831i
\(553\) 11.3864 6.57394i 0.484199 0.279552i
\(554\) 2.24478 8.37764i 0.0953717 0.355932i
\(555\) 28.2193 + 28.2193i 1.19784 + 1.19784i
\(556\) 78.3518 + 20.9943i 3.32286 + 0.890356i
\(557\) −6.00968 −0.254638 −0.127319 0.991862i \(-0.540637\pi\)
−0.127319 + 0.991862i \(0.540637\pi\)
\(558\) −2.78559 + 2.78559i −0.117923 + 0.117923i
\(559\) 7.57255 + 26.7506i 0.320285 + 1.13143i
\(560\) −28.2271 −1.19281
\(561\) −3.73106 33.4528i −0.157525 1.41238i
\(562\) −19.9293 34.5186i −0.840668 1.45608i
\(563\) 17.4876i 0.737014i −0.929625 0.368507i \(-0.879869\pi\)
0.929625 0.368507i \(-0.120131\pi\)
\(564\) 33.8627 + 9.07348i 1.42588 + 0.382062i
\(565\) −18.1632 31.4596i −0.764132 1.32351i
\(566\) 8.56640 + 31.9702i 0.360073 + 1.34381i
\(567\) 0.442508 + 0.442508i 0.0185836 + 0.0185836i
\(568\) 0.302458 0.0810433i 0.0126908 0.00340050i
\(569\) 12.1009 6.98648i 0.507298 0.292889i −0.224424 0.974492i \(-0.572050\pi\)
0.731722 + 0.681603i \(0.238717\pi\)
\(570\) 90.0611i 3.77224i
\(571\) −4.59659 + 17.1547i −0.192361 + 0.717902i 0.800573 + 0.599236i \(0.204529\pi\)
−0.992934 + 0.118667i \(0.962138\pi\)
\(572\) −57.6628 + 15.4507i −2.41100 + 0.646026i
\(573\) 15.2214 + 56.8070i 0.635882 + 2.37314i
\(574\) 4.25956 7.37778i 0.177791 0.307943i
\(575\) −4.07167 + 4.07167i −0.169800 + 0.169800i
\(576\) −31.5179 18.1969i −1.31325 0.758203i
\(577\) 17.8188 30.8631i 0.741807 1.28485i −0.209865 0.977730i \(-0.567302\pi\)
0.951672 0.307117i \(-0.0993644\pi\)
\(578\) 32.5971 30.1093i 1.35586 1.25238i
\(579\) −24.6487 42.6927i −1.02436 1.77425i
\(580\) 91.0720i 3.78156i
\(581\) 9.87551 9.87551i 0.409705 0.409705i
\(582\) −25.0423 43.3745i −1.03804 1.79793i
\(583\) 7.78483 + 2.08594i 0.322415 + 0.0863908i
\(584\) −25.6360 + 6.86915i −1.06083 + 0.284247i
\(585\) 39.8179 10.6692i 1.64627 0.441117i
\(586\) 81.6482i 3.37286i
\(587\) 21.2123 + 12.2469i 0.875524 + 0.505484i 0.869180 0.494496i \(-0.164647\pi\)
0.00634427 + 0.999980i \(0.497981\pi\)
\(588\) 63.2947 16.9598i 2.61023 0.699409i
\(589\) −1.85346 + 0.496632i −0.0763704 + 0.0204634i
\(590\) 26.1219 + 6.99935i 1.07542 + 0.288159i
\(591\) −16.8363 −0.692553
\(592\) 64.9334 + 17.3989i 2.66875 + 0.715089i
\(593\) 16.1978 + 9.35178i 0.665162 + 0.384032i 0.794241 0.607603i \(-0.207869\pi\)
−0.129079 + 0.991634i \(0.541202\pi\)
\(594\) 38.1330 1.56461
\(595\) 11.1715 + 4.88905i 0.457986 + 0.200432i
\(596\) 25.0763 + 43.4334i 1.02716 + 1.77910i
\(597\) −54.1693 + 31.2747i −2.21700 + 1.27999i
\(598\) −51.2753 + 51.2753i −2.09680 + 2.09680i
\(599\) −3.85784 6.68198i −0.157627 0.273018i 0.776385 0.630258i \(-0.217051\pi\)
−0.934013 + 0.357240i \(0.883718\pi\)
\(600\) 12.7377 12.7377i 0.520015 0.520015i
\(601\) 2.45133 + 2.45133i 0.0999920 + 0.0999920i 0.755333 0.655341i \(-0.227475\pi\)
−0.655341 + 0.755333i \(0.727475\pi\)
\(602\) −21.7696 12.1637i −0.887262 0.495757i
\(603\) 15.7510i 0.641432i
\(604\) 92.7393i 3.77351i
\(605\) 1.28406 4.79219i 0.0522046 0.194830i
\(606\) 49.4130 + 49.4130i 2.00727 + 2.00727i
\(607\) −23.3302 6.25131i −0.946944 0.253733i −0.247879 0.968791i \(-0.579734\pi\)
−0.699065 + 0.715058i \(0.746400\pi\)
\(608\) −31.1283 53.9159i −1.26242 2.18658i
\(609\) −9.80785 36.6034i −0.397434 1.48324i
\(610\) 55.5734i 2.25010i
\(611\) −5.53169 + 9.58117i −0.223788 + 0.387613i
\(612\) 56.3606 + 76.5463i 2.27824 + 3.09420i
\(613\) −23.5385 −0.950711 −0.475356 0.879794i \(-0.657681\pi\)
−0.475356 + 0.879794i \(0.657681\pi\)
\(614\) 4.05343 2.34025i 0.163583 0.0944447i
\(615\) −3.28504 12.2599i −0.132465 0.494368i
\(616\) 15.6493 27.1054i 0.630529 1.09211i
\(617\) −4.03082 15.0432i −0.162275 0.605617i −0.998372 0.0570364i \(-0.981835\pi\)
0.836097 0.548581i \(-0.184832\pi\)
\(618\) 61.6727 + 61.6727i 2.48084 + 2.48084i
\(619\) −17.2406 + 4.61961i −0.692960 + 0.185678i −0.588075 0.808806i \(-0.700114\pi\)
−0.104885 + 0.994484i \(0.533447\pi\)
\(620\) 2.66670 + 1.53962i 0.107097 + 0.0618325i
\(621\) 28.3398 16.3620i 1.13724 0.656585i
\(622\) 7.23553 27.0034i 0.290118 1.08274i
\(623\) −7.19316 7.19316i −0.288188 0.288188i
\(624\) 79.8554 79.8554i 3.19678 3.19678i
\(625\) −9.91684 17.1765i −0.396673 0.687059i
\(626\) 1.71067 + 0.458372i 0.0683720 + 0.0183202i
\(627\) 43.0531 + 24.8567i 1.71938 + 0.992683i
\(628\) −58.5413 + 101.397i −2.33605 + 4.04616i
\(629\) −22.6852 18.1327i −0.904520 0.722999i
\(630\) −18.4877 + 32.0216i −0.736568 + 1.27577i
\(631\) 2.59779 + 1.49983i 0.103416 + 0.0597074i 0.550816 0.834627i \(-0.314317\pi\)
−0.447400 + 0.894334i \(0.647650\pi\)
\(632\) −17.1548 64.0227i −0.682382 2.54668i
\(633\) −10.2891 17.8212i −0.408954 0.708329i
\(634\) −8.22167 + 8.22167i −0.326524 + 0.326524i
\(635\) −7.50962 + 28.0263i −0.298010 + 1.11219i
\(636\) −35.7552 + 9.58056i −1.41778 + 0.379894i
\(637\) 20.6792i 0.819340i
\(638\) 61.6251 + 35.5793i 2.43976 + 1.40860i
\(639\) 0.0528496 0.197237i 0.00209070 0.00780259i
\(640\) 0.321680 1.20053i 0.0127155 0.0474550i
\(641\) 20.6367 20.6367i 0.815102 0.815102i −0.170292 0.985394i \(-0.554471\pi\)
0.985394 + 0.170292i \(0.0544710\pi\)
\(642\) 49.1791 + 85.1807i 1.94094 + 3.36181i
\(643\) −27.3607 + 27.3607i −1.07900 + 1.07900i −0.0824034 + 0.996599i \(0.526260\pi\)
−0.996599 + 0.0824034i \(0.973740\pi\)
\(644\) 45.9511i 1.81073i
\(645\) −35.7487 + 10.1197i −1.40760 + 0.398464i
\(646\) 7.26460 + 65.1347i 0.285822 + 2.56269i
\(647\) 48.9877 1.92591 0.962953 0.269671i \(-0.0869149\pi\)
0.962953 + 0.269671i \(0.0869149\pi\)
\(648\) 2.73213 1.57739i 0.107328 0.0619659i
\(649\) −10.5556 + 10.5556i −0.414344 + 0.414344i
\(650\) 4.86285 + 8.42271i 0.190737 + 0.330366i
\(651\) 1.23760 + 0.331614i 0.0485053 + 0.0129970i
\(652\) −84.5619 + 22.6583i −3.31170 + 0.887367i
\(653\) −31.3777 31.3777i −1.22791 1.22791i −0.964755 0.263151i \(-0.915238\pi\)
−0.263151 0.964755i \(-0.584762\pi\)
\(654\) 70.4433 + 40.6705i 2.75455 + 1.59034i
\(655\) 15.2198 8.78717i 0.594688 0.343343i
\(656\) −15.1179 15.1179i −0.590256 0.590256i
\(657\) −4.47948 + 16.7177i −0.174761 + 0.652218i
\(658\) −2.56840 9.58538i −0.100126 0.373677i
\(659\) −1.98905 + 3.44513i −0.0774823 + 0.134203i −0.902163 0.431395i \(-0.858021\pi\)
0.824681 + 0.565599i \(0.191355\pi\)
\(660\) −20.6478 77.0587i −0.803716 2.99951i
\(661\) 49.7572i 1.93533i −0.252235 0.967666i \(-0.581166\pi\)
0.252235 0.967666i \(-0.418834\pi\)
\(662\) 6.92514 11.9947i 0.269153 0.466187i
\(663\) −45.4358 + 17.7732i −1.76458 + 0.690254i
\(664\) −35.2029 60.9733i −1.36614 2.36622i
\(665\) −15.5973 + 9.00513i −0.604839 + 0.349204i
\(666\) 62.2668 62.2668i 2.41279 2.41279i
\(667\) 61.0651 2.36445
\(668\) −18.9379 5.07439i −0.732729 0.196334i
\(669\) −0.299595 + 1.11810i −0.0115830 + 0.0432284i
\(670\) −16.8333 + 4.51047i −0.650327 + 0.174255i
\(671\) −26.5665 15.3382i −1.02559 0.592124i
\(672\) 41.5703i 1.60361i
\(673\) 13.5430 3.62885i 0.522046 0.139882i 0.0118331 0.999930i \(-0.496233\pi\)
0.510213 + 0.860048i \(0.329567\pi\)
\(674\) −67.4621 + 18.0764i −2.59854 + 0.696278i
\(675\) −1.13595 4.23944i −0.0437229 0.163176i
\(676\) 11.9747 + 20.7408i 0.460566 + 0.797724i
\(677\) −19.1791 + 19.1791i −0.737112 + 0.737112i −0.972018 0.234906i \(-0.924522\pi\)
0.234906 + 0.972018i \(0.424522\pi\)
\(678\) −112.898 + 65.1815i −4.33581 + 2.50328i
\(679\) −5.00791 + 8.67396i −0.192186 + 0.332876i
\(680\) 38.3830 48.0196i 1.47192 1.84147i
\(681\) 22.8419 39.5633i 0.875303 1.51607i
\(682\) −2.08361 + 1.20297i −0.0797854 + 0.0460642i
\(683\) −15.4175 4.13111i −0.589935 0.158073i −0.0485114 0.998823i \(-0.515448\pi\)
−0.541423 + 0.840750i \(0.682114\pi\)
\(684\) −140.392 −5.36802
\(685\) 7.63888 + 2.04683i 0.291867 + 0.0782054i
\(686\) −31.9393 31.9393i −1.21945 1.21945i
\(687\) 38.2077 + 38.2077i 1.45772 + 1.45772i
\(688\) −43.6268 + 44.8714i −1.66326 + 1.71071i
\(689\) 11.6817i 0.445036i
\(690\) −68.5227 68.5227i −2.60861 2.60861i
\(691\) 1.55844 5.81618i 0.0592859 0.221258i −0.929927 0.367745i \(-0.880130\pi\)
0.989213 + 0.146487i \(0.0467966\pi\)
\(692\) −67.0870 + 67.0870i −2.55026 + 2.55026i
\(693\) −10.2052 17.6759i −0.387662 0.671450i
\(694\) −65.2570 17.4856i −2.47712 0.663743i
\(695\) −29.6260 17.1046i −1.12378 0.648813i
\(696\) −191.035 −7.24115
\(697\) 3.36475 + 8.60173i 0.127449 + 0.325814i
\(698\) 16.2895 + 28.2143i 0.616568 + 1.06793i
\(699\) 14.9613i 0.565890i
\(700\) −5.95302 1.59511i −0.225003 0.0602894i
\(701\) −3.25039 + 5.62984i −0.122766 + 0.212636i −0.920857 0.389900i \(-0.872510\pi\)
0.798092 + 0.602536i \(0.205843\pi\)
\(702\) −14.3053 53.3880i −0.539918 2.01500i
\(703\) 41.4307 11.1013i 1.56259 0.418695i
\(704\) −15.7168 15.7168i −0.592350 0.592350i
\(705\) −12.8040 7.39238i −0.482226 0.278413i
\(706\) 80.6910 + 46.5870i 3.03685 + 1.75332i
\(707\) 3.61689 13.4984i 0.136027 0.507660i
\(708\) 17.7453 66.2265i 0.666911 2.48894i
\(709\) 1.84856 1.84856i 0.0694243 0.0694243i −0.671542 0.740966i \(-0.734368\pi\)
0.740966 + 0.671542i \(0.234368\pi\)
\(710\) −0.225924 −0.00847877
\(711\) −41.7502 11.1869i −1.56575 0.419543i
\(712\) −44.4120 + 25.6413i −1.66441 + 0.960947i
\(713\) −1.03234 + 1.78806i −0.0386613 + 0.0669634i
\(714\) 17.5451 40.0905i 0.656610 1.50035i
\(715\) 25.1761 0.941533
\(716\) −12.4565 7.19174i −0.465520 0.268768i
\(717\) 10.0184 + 37.3891i 0.374143 + 1.39632i
\(718\) 14.5450 25.1926i 0.542814 0.940181i
\(719\) 13.1797 + 3.53149i 0.491520 + 0.131702i 0.496062 0.868287i \(-0.334779\pi\)
−0.00454154 + 0.999990i \(0.501446\pi\)
\(720\) 65.6160 + 65.6160i 2.44536 + 2.44536i
\(721\) 4.51426 16.8475i 0.168120 0.627432i
\(722\) −40.8761 23.5998i −1.52125 0.878295i
\(723\) 57.4082i 2.13503i
\(724\) −51.7585 + 13.8686i −1.92359 + 0.515424i
\(725\) 2.11976 7.91107i 0.0787261 0.293810i
\(726\) −17.1975 4.60806i −0.638259 0.171021i
\(727\) 37.1827 1.37903 0.689516 0.724271i \(-0.257823\pi\)
0.689516 + 0.724271i \(0.257823\pi\)
\(728\) −43.8196 11.7414i −1.62406 0.435166i
\(729\) 43.8737i 1.62495i
\(730\) 19.1491 0.708739
\(731\) 25.0382 10.2025i 0.926070 0.377352i
\(732\) 140.894 5.20761
\(733\) 23.5184i 0.868672i 0.900751 + 0.434336i \(0.143017\pi\)
−0.900751 + 0.434336i \(0.856983\pi\)
\(734\) 57.8046 + 15.4887i 2.13361 + 0.571698i
\(735\) −27.6350 −1.01933
\(736\) −64.7056 17.3378i −2.38508 0.639081i
\(737\) 2.48977 9.29194i 0.0917118 0.342273i
\(738\) −27.0519 + 7.24854i −0.995795 + 0.266822i
\(739\) 38.5682i 1.41875i 0.704829 + 0.709377i \(0.251024\pi\)
−0.704829 + 0.709377i \(0.748976\pi\)
\(740\) −59.6092 34.4154i −2.19128 1.26514i
\(741\) 18.6496 69.6013i 0.685111 2.55687i
\(742\) 7.40914 + 7.40914i 0.271998 + 0.271998i
\(743\) 37.5765 + 10.0686i 1.37855 + 0.369381i 0.870593 0.492003i \(-0.163735\pi\)
0.507954 + 0.861384i \(0.330402\pi\)
\(744\) 3.22954 5.59372i 0.118401 0.205076i
\(745\) −5.47427 20.4303i −0.200562 0.748507i
\(746\) 21.8251 + 12.6007i 0.799073 + 0.461345i
\(747\) −45.9128 −1.67986
\(748\) 21.1489 + 54.0655i 0.773280 + 1.97683i
\(749\) 9.83475 17.0343i 0.359354 0.622419i
\(750\) −75.2965 + 43.4724i −2.74944 + 1.58739i
\(751\) 44.9998 + 12.0577i 1.64207 + 0.439990i 0.957376 0.288845i \(-0.0932711\pi\)
0.684690 + 0.728835i \(0.259938\pi\)
\(752\) −24.9045 −0.908173
\(753\) −2.57088 + 2.57088i −0.0936880 + 0.0936880i
\(754\) 26.6946 99.6255i 0.972159 3.62815i
\(755\) 10.1227 37.7785i 0.368403 1.37490i
\(756\) 30.3322 + 17.5123i 1.10317 + 0.636915i
\(757\) −44.1342 25.4809i −1.60409 0.926119i −0.990658 0.136368i \(-0.956457\pi\)