Properties

Label 96.2.o.a.11.14
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.14
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +O(q^{10})\) \(q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +(0.246656 + 0.123500i) q^{10} +(-3.10859 - 1.28762i) q^{11} +(-2.88648 + 1.91526i) q^{12} +(-1.27981 - 3.08973i) q^{13} +(-0.436947 + 0.378535i) q^{14} +(-0.318935 + 0.111436i) q^{15} +(3.83749 + 1.12857i) q^{16} +0.806332 q^{17} +(0.778839 - 4.17054i) q^{18} +(-5.57935 + 2.31104i) q^{19} +(0.335455 + 0.199131i) q^{20} +(0.0400233 - 0.706906i) q^{21} +(-4.25488 - 2.13041i) q^{22} +(5.03681 - 5.03681i) q^{23} +(-4.26518 + 2.41002i) q^{24} +(-3.50863 - 3.50863i) q^{25} +(-1.49311 - 4.48768i) q^{26} +(3.00105 + 4.24190i) q^{27} +(-0.654605 + 0.489813i) q^{28} +(3.64020 + 8.78822i) q^{29} +(-0.461148 + 0.124967i) q^{30} +7.48336i q^{31} +(5.29913 + 1.97970i) q^{32} +(5.50170 - 1.92230i) q^{33} +(1.13741 + 0.0814715i) q^{34} +(-0.0736656 + 0.0305133i) q^{35} +(1.52002 - 5.80427i) q^{36} +(-1.47112 + 3.55159i) q^{37} +(-8.10374 + 2.69622i) q^{38} +(5.21770 + 2.51565i) q^{39} +(0.453072 + 0.314789i) q^{40} +(-2.62513 - 2.62513i) q^{41} +(0.127882 - 0.993117i) q^{42} +(2.84744 - 6.87432i) q^{43} +(-5.78667 - 3.43506i) q^{44} +(0.283521 - 0.511886i) q^{45} +(7.61384 - 6.59601i) q^{46} +0.399772i q^{47} +(-6.25997 + 2.96862i) q^{48} +6.83289i q^{49} +(-4.59476 - 5.30378i) q^{50} +(-1.04180 + 0.930149i) q^{51} +(-1.65275 - 6.48118i) q^{52} +(-1.42173 + 3.43237i) q^{53} +(3.80468 + 6.28685i) q^{54} +(-0.464073 - 0.464073i) q^{55} +(-0.972876 + 0.624789i) q^{56} +(4.54271 - 9.42200i) q^{57} +(4.24691 + 12.7645i) q^{58} +(-0.918629 + 2.21777i) q^{59} +(-0.663122 + 0.129684i) q^{60} +(8.81133 - 3.64977i) q^{61} +(-0.756117 + 10.5560i) q^{62} +(0.763745 + 0.959504i) q^{63} +(7.27492 + 3.32799i) q^{64} -0.652316i q^{65} +(7.95492 - 2.15571i) q^{66} +(-3.76613 - 9.09225i) q^{67} +(1.59620 + 0.229847i) q^{68} +(-0.697409 + 12.3179i) q^{69} +(-0.106996 + 0.0355989i) q^{70} +(-2.86762 - 2.86762i) q^{71} +(2.73060 - 8.03392i) q^{72} +(-6.97993 + 6.97993i) q^{73} +(-2.43401 + 4.86123i) q^{74} +(8.58062 + 0.485813i) q^{75} +(-11.7036 + 2.98449i) q^{76} +(1.27075 - 0.526361i) q^{77} +(7.10591 + 4.07577i) q^{78} +8.01674 q^{79} +(0.607297 + 0.489819i) q^{80} +(-8.77067 - 2.01873i) q^{81} +(-3.43776 - 3.96825i) q^{82} +(-2.47115 - 5.96589i) q^{83} +(0.280735 - 1.38797i) q^{84} +(0.145306 + 0.0601876i) q^{85} +(4.71117 - 9.40921i) q^{86} +(-14.8409 - 7.15536i) q^{87} +(-7.81560 - 5.43018i) q^{88} +(-5.43308 + 5.43308i) q^{89} +(0.451656 - 0.693420i) q^{90} +(1.26304 + 0.523167i) q^{91} +(11.4065 - 8.53503i) q^{92} +(-8.63248 - 9.66864i) q^{93} +(-0.0403928 + 0.563918i) q^{94} -1.17794 q^{95} +(-9.13027 + 3.55503i) q^{96} +2.61408 q^{97} +(-0.690393 + 9.63848i) q^{98} +(-4.89081 + 8.83016i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41060 + 0.101040i 0.997444 + 0.0714458i
\(3\) −1.29202 + 1.15356i −0.745947 + 0.666006i
\(4\) 1.97958 + 0.285053i 0.989791 + 0.142526i
\(5\) 0.180206 + 0.0746437i 0.0805904 + 0.0333817i 0.422614 0.906310i \(-0.361112\pi\)
−0.342024 + 0.939691i \(0.611112\pi\)
\(6\) −1.93907 + 1.49666i −0.791624 + 0.611009i
\(7\) −0.289055 + 0.289055i −0.109253 + 0.109253i −0.759620 0.650367i \(-0.774615\pi\)
0.650367 + 0.759620i \(0.274615\pi\)
\(8\) 2.76360 + 0.602112i 0.977079 + 0.212879i
\(9\) 0.338620 2.98083i 0.112873 0.993609i
\(10\) 0.246656 + 0.123500i 0.0779995 + 0.0390542i
\(11\) −3.10859 1.28762i −0.937276 0.388232i −0.138842 0.990315i \(-0.544338\pi\)
−0.798434 + 0.602082i \(0.794338\pi\)
\(12\) −2.88648 + 1.91526i −0.833255 + 0.552889i
\(13\) −1.27981 3.08973i −0.354954 0.856936i −0.995993 0.0894273i \(-0.971496\pi\)
0.641039 0.767508i \(-0.278504\pi\)
\(14\) −0.436947 + 0.378535i −0.116779 + 0.101168i
\(15\) −0.318935 + 0.111436i −0.0823486 + 0.0287727i
\(16\) 3.83749 + 1.12857i 0.959372 + 0.282143i
\(17\) 0.806332 0.195564 0.0977822 0.995208i \(-0.468825\pi\)
0.0977822 + 0.995208i \(0.468825\pi\)
\(18\) 0.778839 4.17054i 0.183574 0.983006i
\(19\) −5.57935 + 2.31104i −1.27999 + 0.530190i −0.915987 0.401208i \(-0.868591\pi\)
−0.364004 + 0.931397i \(0.618591\pi\)
\(20\) 0.335455 + 0.199131i 0.0750099 + 0.0445271i
\(21\) 0.0400233 0.706906i 0.00873379 0.154260i
\(22\) −4.25488 2.13041i −0.907143 0.454205i
\(23\) 5.03681 5.03681i 1.05025 1.05025i 0.0515792 0.998669i \(-0.483575\pi\)
0.998669 0.0515792i \(-0.0164254\pi\)
\(24\) −4.26518 + 2.41002i −0.870627 + 0.491944i
\(25\) −3.50863 3.50863i −0.701726 0.701726i
\(26\) −1.49311 4.48768i −0.292823 0.880106i
\(27\) 3.00105 + 4.24190i 0.577552 + 0.816354i
\(28\) −0.654605 + 0.489813i −0.123709 + 0.0925659i
\(29\) 3.64020 + 8.78822i 0.675968 + 1.63193i 0.771289 + 0.636485i \(0.219612\pi\)
−0.0953212 + 0.995447i \(0.530388\pi\)
\(30\) −0.461148 + 0.124967i −0.0841938 + 0.0228158i
\(31\) 7.48336i 1.34405i 0.740528 + 0.672026i \(0.234576\pi\)
−0.740528 + 0.672026i \(0.765424\pi\)
\(32\) 5.29913 + 1.97970i 0.936763 + 0.349965i
\(33\) 5.50170 1.92230i 0.957723 0.334630i
\(34\) 1.13741 + 0.0814715i 0.195065 + 0.0139723i
\(35\) −0.0736656 + 0.0305133i −0.0124518 + 0.00515769i
\(36\) 1.52002 5.80427i 0.253337 0.967378i
\(37\) −1.47112 + 3.55159i −0.241850 + 0.583878i −0.997467 0.0711364i \(-0.977337\pi\)
0.755616 + 0.655014i \(0.227337\pi\)
\(38\) −8.10374 + 2.69622i −1.31460 + 0.437385i
\(39\) 5.21770 + 2.51565i 0.835501 + 0.402827i
\(40\) 0.453072 + 0.314789i 0.0716370 + 0.0497725i
\(41\) −2.62513 2.62513i −0.409976 0.409976i 0.471754 0.881730i \(-0.343621\pi\)
−0.881730 + 0.471754i \(0.843621\pi\)
\(42\) 0.127882 0.993117i 0.0197327 0.153241i
\(43\) 2.84744 6.87432i 0.434230 1.04832i −0.543679 0.839293i \(-0.682969\pi\)
0.977909 0.209031i \(-0.0670310\pi\)
\(44\) −5.78667 3.43506i −0.872374 0.517855i
\(45\) 0.283521 0.511886i 0.0422648 0.0763075i
\(46\) 7.61384 6.59601i 1.12260 0.972528i
\(47\) 0.399772i 0.0583127i 0.999575 + 0.0291564i \(0.00928208\pi\)
−0.999575 + 0.0291564i \(0.990718\pi\)
\(48\) −6.25997 + 2.96862i −0.903549 + 0.428484i
\(49\) 6.83289i 0.976128i
\(50\) −4.59476 5.30378i −0.649798 0.750068i
\(51\) −1.04180 + 0.930149i −0.145881 + 0.130247i
\(52\) −1.65275 6.48118i −0.229195 0.898778i
\(53\) −1.42173 + 3.43237i −0.195290 + 0.471472i −0.990943 0.134280i \(-0.957128\pi\)
0.795653 + 0.605752i \(0.207128\pi\)
\(54\) 3.80468 + 6.28685i 0.517751 + 0.855531i
\(55\) −0.464073 0.464073i −0.0625756 0.0625756i
\(56\) −0.972876 + 0.624789i −0.130006 + 0.0834909i
\(57\) 4.54271 9.42200i 0.601696 1.24797i
\(58\) 4.24691 + 12.7645i 0.557646 + 1.67606i
\(59\) −0.918629 + 2.21777i −0.119595 + 0.288729i −0.972328 0.233618i \(-0.924943\pi\)
0.852733 + 0.522347i \(0.174943\pi\)
\(60\) −0.663122 + 0.129684i −0.0856087 + 0.0167422i
\(61\) 8.81133 3.64977i 1.12818 0.467306i 0.261015 0.965335i \(-0.415943\pi\)
0.867160 + 0.498029i \(0.165943\pi\)
\(62\) −0.756117 + 10.5560i −0.0960269 + 1.34062i
\(63\) 0.763745 + 0.959504i 0.0962228 + 0.120886i
\(64\) 7.27492 + 3.32799i 0.909365 + 0.415998i
\(65\) 0.652316i 0.0809098i
\(66\) 7.95492 2.15571i 0.979183 0.265350i
\(67\) −3.76613 9.09225i −0.460107 1.11080i −0.968353 0.249584i \(-0.919706\pi\)
0.508247 0.861212i \(-0.330294\pi\)
\(68\) 1.59620 + 0.229847i 0.193568 + 0.0278731i
\(69\) −0.697409 + 12.3179i −0.0839581 + 1.48290i
\(70\) −0.106996 + 0.0355989i −0.0127884 + 0.00425488i
\(71\) −2.86762 2.86762i −0.340324 0.340324i 0.516165 0.856489i \(-0.327359\pi\)
−0.856489 + 0.516165i \(0.827359\pi\)
\(72\) 2.73060 8.03392i 0.321804 0.946806i
\(73\) −6.97993 + 6.97993i −0.816939 + 0.816939i −0.985663 0.168725i \(-0.946035\pi\)
0.168725 + 0.985663i \(0.446035\pi\)
\(74\) −2.43401 + 4.86123i −0.282948 + 0.565107i
\(75\) 8.58062 + 0.485813i 0.990804 + 0.0560969i
\(76\) −11.7036 + 2.98449i −1.34249 + 0.342344i
\(77\) 1.27075 0.526361i 0.144815 0.0599845i
\(78\) 7.10591 + 4.07577i 0.804586 + 0.461490i
\(79\) 8.01674 0.901954 0.450977 0.892536i \(-0.351076\pi\)
0.450977 + 0.892536i \(0.351076\pi\)
\(80\) 0.607297 + 0.489819i 0.0678979 + 0.0547635i
\(81\) −8.77067 2.01873i −0.974519 0.224304i
\(82\) −3.43776 3.96825i −0.379637 0.438220i
\(83\) −2.47115 5.96589i −0.271244 0.654841i 0.728293 0.685266i \(-0.240314\pi\)
−0.999537 + 0.0304247i \(0.990314\pi\)
\(84\) 0.280735 1.38797i 0.0306307 0.151440i
\(85\) 0.145306 + 0.0601876i 0.0157606 + 0.00652826i
\(86\) 4.71117 9.40921i 0.508019 1.01462i
\(87\) −14.8409 7.15536i −1.59111 0.767135i
\(88\) −7.81560 5.43018i −0.833146 0.578860i
\(89\) −5.43308 + 5.43308i −0.575905 + 0.575905i −0.933773 0.357867i \(-0.883504\pi\)
0.357867 + 0.933773i \(0.383504\pi\)
\(90\) 0.451656 0.693420i 0.0476087 0.0730929i
\(91\) 1.26304 + 0.523167i 0.132402 + 0.0548428i
\(92\) 11.4065 8.53503i 1.18921 0.889838i
\(93\) −8.63248 9.66864i −0.895146 1.00259i
\(94\) −0.0403928 + 0.563918i −0.00416620 + 0.0581637i
\(95\) −1.17794 −0.120854
\(96\) −9.13027 + 3.55503i −0.931854 + 0.362834i
\(97\) 2.61408 0.265419 0.132710 0.991155i \(-0.457632\pi\)
0.132710 + 0.991155i \(0.457632\pi\)
\(98\) −0.690393 + 9.63848i −0.0697402 + 0.973633i
\(99\) −4.89081 + 8.83016i −0.491545 + 0.887465i
\(100\) −5.94548 7.94577i −0.594548 0.794577i
\(101\) −12.1420 5.02940i −1.20818 0.500444i −0.314546 0.949242i \(-0.601852\pi\)
−0.893633 + 0.448798i \(0.851852\pi\)
\(102\) −1.56354 + 1.20681i −0.154813 + 0.119492i
\(103\) 8.46981 8.46981i 0.834555 0.834555i −0.153581 0.988136i \(-0.549081\pi\)
0.988136 + 0.153581i \(0.0490806\pi\)
\(104\) −1.67651 9.30934i −0.164395 0.912856i
\(105\) 0.0599785 0.124401i 0.00585330 0.0121403i
\(106\) −2.35230 + 4.69804i −0.228476 + 0.456314i
\(107\) −1.03423 0.428394i −0.0999833 0.0414144i 0.332131 0.943233i \(-0.392232\pi\)
−0.432114 + 0.901819i \(0.642232\pi\)
\(108\) 4.73165 + 9.25265i 0.455304 + 0.890336i
\(109\) −0.703211 1.69770i −0.0673554 0.162610i 0.886617 0.462504i \(-0.153049\pi\)
−0.953973 + 0.299894i \(0.903049\pi\)
\(110\) −0.607732 0.701511i −0.0579450 0.0668865i
\(111\) −2.19625 6.28573i −0.208459 0.596616i
\(112\) −1.43547 + 0.783027i −0.135639 + 0.0739891i
\(113\) 1.39540 0.131268 0.0656339 0.997844i \(-0.479093\pi\)
0.0656339 + 0.997844i \(0.479093\pi\)
\(114\) 7.35993 12.8317i 0.689321 1.20180i
\(115\) 1.28363 0.531696i 0.119699 0.0495809i
\(116\) 4.70097 + 18.4346i 0.436474 + 1.71161i
\(117\) −9.64331 + 2.76864i −0.891524 + 0.255961i
\(118\) −1.51990 + 3.03556i −0.139918 + 0.279446i
\(119\) −0.233075 + 0.233075i −0.0213659 + 0.0213659i
\(120\) −0.948503 + 0.115931i −0.0865861 + 0.0105830i
\(121\) 0.227201 + 0.227201i 0.0206547 + 0.0206547i
\(122\) 12.7980 4.25808i 1.15868 0.385508i
\(123\) 6.41995 + 0.363481i 0.578867 + 0.0327740i
\(124\) −2.13316 + 14.8139i −0.191563 + 1.33033i
\(125\) −0.743597 1.79520i −0.0665093 0.160568i
\(126\) 0.980390 + 1.43064i 0.0873401 + 0.127452i
\(127\) 6.87310i 0.609889i 0.952370 + 0.304944i \(0.0986379\pi\)
−0.952370 + 0.304944i \(0.901362\pi\)
\(128\) 9.92574 + 5.42951i 0.877320 + 0.479906i
\(129\) 4.25097 + 12.1664i 0.374277 + 1.07119i
\(130\) 0.0659097 0.920156i 0.00578067 0.0807030i
\(131\) 16.0581 6.65149i 1.40300 0.581143i 0.452474 0.891778i \(-0.350542\pi\)
0.950529 + 0.310635i \(0.100542\pi\)
\(132\) 11.4390 2.23708i 0.995639 0.194713i
\(133\) 0.944722 2.28076i 0.0819178 0.197767i
\(134\) −4.39383 13.2061i −0.379569 1.14083i
\(135\) 0.224175 + 0.988424i 0.0192939 + 0.0850700i
\(136\) 2.22838 + 0.485502i 0.191082 + 0.0416315i
\(137\) 10.7787 + 10.7787i 0.920890 + 0.920890i 0.997092 0.0762022i \(-0.0242795\pi\)
−0.0762022 + 0.997092i \(0.524279\pi\)
\(138\) −2.22836 + 17.3051i −0.189691 + 1.47311i
\(139\) −1.41183 + 3.40847i −0.119750 + 0.289102i −0.972376 0.233419i \(-0.925009\pi\)
0.852626 + 0.522521i \(0.175009\pi\)
\(140\) −0.154525 + 0.0394050i −0.0130597 + 0.00333033i
\(141\) −0.461159 0.516513i −0.0388366 0.0434982i
\(142\) −3.75532 4.33481i −0.315140 0.363769i
\(143\) 11.2526i 0.940990i
\(144\) 4.66353 11.0567i 0.388627 0.921395i
\(145\) 1.85541i 0.154083i
\(146\) −10.5511 + 9.14063i −0.873218 + 0.756484i
\(147\) −7.88212 8.82822i −0.650106 0.728139i
\(148\) −3.92459 + 6.61132i −0.322599 + 0.543447i
\(149\) 6.49923 15.6905i 0.532438 1.28542i −0.397466 0.917617i \(-0.630111\pi\)
0.929904 0.367802i \(-0.119889\pi\)
\(150\) 12.0547 + 1.55227i 0.984264 + 0.126742i
\(151\) −1.50166 1.50166i −0.122204 0.122204i 0.643360 0.765564i \(-0.277540\pi\)
−0.765564 + 0.643360i \(0.777540\pi\)
\(152\) −16.8106 + 3.02740i −1.36352 + 0.245554i
\(153\) 0.273040 2.40354i 0.0220740 0.194315i
\(154\) 1.84570 0.614089i 0.148731 0.0494847i
\(155\) −0.558586 + 1.34855i −0.0448667 + 0.108318i
\(156\) 9.61177 + 6.46726i 0.769558 + 0.517795i
\(157\) 12.7594 5.28511i 1.01831 0.421798i 0.189830 0.981817i \(-0.439206\pi\)
0.828480 + 0.560019i \(0.189206\pi\)
\(158\) 11.3084 + 0.810009i 0.899649 + 0.0644408i
\(159\) −2.12252 6.07473i −0.168327 0.481757i
\(160\) 0.807162 + 0.752300i 0.0638117 + 0.0594745i
\(161\) 2.91184i 0.229485i
\(162\) −12.1679 3.73381i −0.956003 0.293356i
\(163\) 3.02496 + 7.30291i 0.236933 + 0.572008i 0.996963 0.0778809i \(-0.0248154\pi\)
−0.760029 + 0.649889i \(0.774815\pi\)
\(164\) −4.44836 5.94496i −0.347358 0.464223i
\(165\) 1.13493 + 0.0642567i 0.0883538 + 0.00500237i
\(166\) −2.88301 8.66516i −0.223765 0.672547i
\(167\) −1.65109 1.65109i −0.127765 0.127765i 0.640333 0.768098i \(-0.278797\pi\)
−0.768098 + 0.640333i \(0.778797\pi\)
\(168\) 0.536245 1.92950i 0.0413722 0.148864i
\(169\) 1.28389 1.28389i 0.0987607 0.0987607i
\(170\) 0.198887 + 0.0995822i 0.0152539 + 0.00763761i
\(171\) 4.99955 + 17.4137i 0.382325 + 1.33166i
\(172\) 7.59628 12.7966i 0.579211 0.975733i
\(173\) 9.81571 4.06580i 0.746275 0.309117i 0.0230541 0.999734i \(-0.492661\pi\)
0.723221 + 0.690617i \(0.242661\pi\)
\(174\) −20.2116 11.5929i −1.53224 0.878853i
\(175\) 2.02838 0.153331
\(176\) −10.4760 8.44950i −0.789659 0.636905i
\(177\) −1.37143 3.92508i −0.103083 0.295027i
\(178\) −8.21286 + 7.11494i −0.615580 + 0.533288i
\(179\) 6.28126 + 15.1643i 0.469484 + 1.13343i 0.964389 + 0.264487i \(0.0852026\pi\)
−0.494906 + 0.868947i \(0.664797\pi\)
\(180\) 0.707168 0.932503i 0.0527092 0.0695046i
\(181\) 4.93385 + 2.04367i 0.366730 + 0.151905i 0.558436 0.829548i \(-0.311402\pi\)
−0.191705 + 0.981453i \(0.561402\pi\)
\(182\) 1.72878 + 0.865596i 0.128146 + 0.0641622i
\(183\) −7.17418 + 14.8799i −0.530331 + 1.09996i
\(184\) 16.9524 10.8870i 1.24975 0.802600i
\(185\) −0.530208 + 0.530208i −0.0389816 + 0.0389816i
\(186\) −11.2001 14.5108i −0.821228 1.06398i
\(187\) −2.50656 1.03825i −0.183298 0.0759244i
\(188\) −0.113956 + 0.791382i −0.00831111 + 0.0577174i
\(189\) −2.09361 0.358675i −0.152288 0.0260898i
\(190\) −1.66160 0.119018i −0.120545 0.00863449i
\(191\) −11.6455 −0.842637 −0.421318 0.906913i \(-0.638433\pi\)
−0.421318 + 0.906913i \(0.638433\pi\)
\(192\) −13.2383 + 4.09221i −0.955395 + 0.295330i
\(193\) −6.03220 −0.434207 −0.217104 0.976149i \(-0.569661\pi\)
−0.217104 + 0.976149i \(0.569661\pi\)
\(194\) 3.68742 + 0.264126i 0.264741 + 0.0189631i
\(195\) 0.752482 + 0.842803i 0.0538864 + 0.0603544i
\(196\) −1.94774 + 13.5263i −0.139124 + 0.966162i
\(197\) 0.581435 + 0.240838i 0.0414255 + 0.0171590i 0.403300 0.915068i \(-0.367863\pi\)
−0.361874 + 0.932227i \(0.617863\pi\)
\(198\) −7.79117 + 11.9617i −0.553694 + 0.850078i
\(199\) −13.6071 + 13.6071i −0.964583 + 0.964583i −0.999394 0.0348110i \(-0.988917\pi\)
0.0348110 + 0.999394i \(0.488917\pi\)
\(200\) −7.58385 11.8090i −0.536259 0.835024i
\(201\) 15.3543 + 7.40291i 1.08301 + 0.522161i
\(202\) −16.6194 8.32130i −1.16934 0.585484i
\(203\) −3.59250 1.48806i −0.252144 0.104442i
\(204\) −2.32746 + 1.54434i −0.162955 + 0.108125i
\(205\) −0.277114 0.669012i −0.0193545 0.0467259i
\(206\) 12.8033 11.0917i 0.892048 0.772797i
\(207\) −13.3083 16.7194i −0.924991 1.16208i
\(208\) −1.42427 13.3011i −0.0987551 0.922268i
\(209\) 20.3197 1.40554
\(210\) 0.0971750 0.169420i 0.00670572 0.0116911i
\(211\) −6.94196 + 2.87545i −0.477904 + 0.197954i −0.608614 0.793466i \(-0.708274\pi\)
0.130710 + 0.991421i \(0.458274\pi\)
\(212\) −3.79284 + 6.38938i −0.260493 + 0.438824i
\(213\) 7.01298 + 0.397057i 0.480521 + 0.0272059i
\(214\) −1.41561 0.708791i −0.0967689 0.0484520i
\(215\) 1.02625 1.02625i 0.0699896 0.0699896i
\(216\) 5.73959 + 13.5299i 0.390529 + 0.920590i
\(217\) −2.16311 2.16311i −0.146841 0.146841i
\(218\) −0.820413 2.46583i −0.0555654 0.167007i
\(219\) 0.966457 17.0699i 0.0653071 1.15348i
\(220\) −0.786386 1.05096i −0.0530181 0.0708555i
\(221\) −1.03195 2.49135i −0.0694164 0.167586i
\(222\) −2.46292 9.08856i −0.165300 0.609984i
\(223\) 6.45182i 0.432046i −0.976388 0.216023i \(-0.930691\pi\)
0.976388 0.216023i \(-0.0693086\pi\)
\(224\) −2.10399 + 0.959499i −0.140578 + 0.0641092i
\(225\) −11.6467 + 9.27054i −0.776448 + 0.618036i
\(226\) 1.96835 + 0.140990i 0.130932 + 0.00937854i
\(227\) 3.16606 1.31143i 0.210139 0.0870424i −0.275131 0.961407i \(-0.588721\pi\)
0.485270 + 0.874364i \(0.338721\pi\)
\(228\) 11.6784 17.3567i 0.773423 1.14948i
\(229\) 8.63723 20.8521i 0.570764 1.37795i −0.330141 0.943932i \(-0.607096\pi\)
0.900905 0.434015i \(-0.142904\pi\)
\(230\) 1.86441 0.620313i 0.122935 0.0409022i
\(231\) −1.03464 + 2.14595i −0.0680745 + 0.141193i
\(232\) 4.76855 + 26.4789i 0.313071 + 1.73842i
\(233\) −15.5223 15.5223i −1.01690 1.01690i −0.999855 0.0170465i \(-0.994574\pi\)
−0.0170465 0.999855i \(1.49457\pi\)
\(234\) −13.8826 + 2.93109i −0.907533 + 0.191611i
\(235\) −0.0298404 + 0.0720412i −0.00194658 + 0.00469945i
\(236\) −2.45068 + 4.12839i −0.159526 + 0.268735i
\(237\) −10.3578 + 9.24776i −0.672810 + 0.600706i
\(238\) −0.352325 + 0.305225i −0.0228378 + 0.0197848i
\(239\) 22.3335i 1.44463i 0.691563 + 0.722316i \(0.256922\pi\)
−0.691563 + 0.722316i \(0.743078\pi\)
\(240\) −1.34967 + 0.0676954i −0.0871210 + 0.00436972i
\(241\) 10.0345i 0.646380i −0.946334 0.323190i \(-0.895245\pi\)
0.946334 0.323190i \(-0.104755\pi\)
\(242\) 0.297534 + 0.343447i 0.0191262 + 0.0220776i
\(243\) 13.6606 7.50922i 0.876327 0.481717i
\(244\) 18.4831 4.71333i 1.18326 0.301740i
\(245\) −0.510032 + 1.23133i −0.0325848 + 0.0786666i
\(246\) 9.01925 + 1.16140i 0.575046 + 0.0740479i
\(247\) 14.2810 + 14.2810i 0.908677 + 0.908677i
\(248\) −4.50582 + 20.6810i −0.286120 + 1.31324i
\(249\) 10.0748 + 4.85742i 0.638462 + 0.307827i
\(250\) −0.867531 2.60744i −0.0548675 0.164909i
\(251\) 1.23078 2.97137i 0.0776862 0.187551i −0.880265 0.474483i \(-0.842635\pi\)
0.957951 + 0.286931i \(0.0926352\pi\)
\(252\) 1.23839 + 2.11713i 0.0780110 + 0.133366i
\(253\) −22.1429 + 9.17189i −1.39211 + 0.576632i
\(254\) −0.694455 + 9.69519i −0.0435740 + 0.608330i
\(255\) −0.257167 + 0.0898547i −0.0161044 + 0.00562692i
\(256\) 13.4527 + 8.66176i 0.840791 + 0.541360i
\(257\) 22.7842i 1.42124i −0.703576 0.710620i \(-0.748415\pi\)
0.703576 0.710620i \(-0.251585\pi\)
\(258\) 4.76713 + 17.5915i 0.296788 + 1.09520i
\(259\) −0.601372 1.45184i −0.0373675 0.0902130i
\(260\) 0.185944 1.29131i 0.0115318 0.0800838i
\(261\) 27.4288 7.87495i 1.69780 0.487447i
\(262\) 23.3236 7.76008i 1.44094 0.479419i
\(263\) −12.8553 12.8553i −0.792690 0.792690i 0.189241 0.981931i \(-0.439397\pi\)
−0.981931 + 0.189241i \(0.939397\pi\)
\(264\) 16.3619 1.99983i 1.00701 0.123081i
\(265\) −0.512409 + 0.512409i −0.0314770 + 0.0314770i
\(266\) 1.56307 3.12179i 0.0958381 0.191409i
\(267\) 0.752277 13.2870i 0.0460386 0.813151i
\(268\) −4.86360 19.0724i −0.297092 1.16503i
\(269\) −11.7742 + 4.87704i −0.717886 + 0.297358i −0.711564 0.702622i \(-0.752013\pi\)
−0.00632279 + 0.999980i \(0.502013\pi\)
\(270\) 0.216351 + 1.41692i 0.0131667 + 0.0862310i
\(271\) −11.6627 −0.708457 −0.354228 0.935159i \(-0.615256\pi\)
−0.354228 + 0.935159i \(0.615256\pi\)
\(272\) 3.09429 + 0.910004i 0.187619 + 0.0551771i
\(273\) −2.23537 + 0.781042i −0.135291 + 0.0472708i
\(274\) 14.1154 + 16.2936i 0.852743 + 0.984331i
\(275\) 6.38912 + 15.4247i 0.385278 + 0.930144i
\(276\) −4.89183 + 24.1855i −0.294454 + 1.45580i
\(277\) 8.48904 + 3.51628i 0.510057 + 0.211273i 0.622843 0.782347i \(-0.285977\pi\)
−0.112786 + 0.993619i \(0.535977\pi\)
\(278\) −2.33592 + 4.66533i −0.140099 + 0.279808i
\(279\) 22.3066 + 2.53401i 1.33546 + 0.151707i
\(280\) −0.221954 + 0.0399715i −0.0132643 + 0.00238875i
\(281\) −22.3102 + 22.3102i −1.33091 + 1.33091i −0.426362 + 0.904553i \(0.640205\pi\)
−0.904553 + 0.426362i \(0.859795\pi\)
\(282\) −0.598323 0.775188i −0.0356296 0.0461618i
\(283\) −9.95203 4.12227i −0.591587 0.245043i 0.0667462 0.997770i \(-0.478738\pi\)
−0.658333 + 0.752727i \(0.728738\pi\)
\(284\) −4.85927 6.49411i −0.288344 0.385355i
\(285\) 1.52191 1.35881i 0.0901504 0.0804892i
\(286\) −1.13696 + 15.8729i −0.0672298 + 0.938585i
\(287\) 1.51762 0.0895820
\(288\) 7.69554 15.1254i 0.453464 0.891275i
\(289\) −16.3498 −0.961755
\(290\) −0.187469 + 2.61723i −0.0110086 + 0.153689i
\(291\) −3.37744 + 3.01548i −0.197989 + 0.176771i
\(292\) −15.8070 + 11.8277i −0.925034 + 0.692163i
\(293\) −23.2108 9.61422i −1.35599 0.561669i −0.418035 0.908431i \(-0.637281\pi\)
−0.937953 + 0.346762i \(0.887281\pi\)
\(294\) −10.2265 13.2495i −0.596423 0.772726i
\(295\) −0.331084 + 0.331084i −0.0192765 + 0.0192765i
\(296\) −6.20403 + 8.92939i −0.360602 + 0.519010i
\(297\) −3.86707 17.0505i −0.224390 0.989373i
\(298\) 10.7532 21.4764i 0.622915 1.24409i
\(299\) −22.0085 9.11622i −1.27279 0.527205i
\(300\) 16.8475 + 3.40764i 0.972694 + 0.196740i
\(301\) 1.16399 + 2.81013i 0.0670914 + 0.161973i
\(302\) −1.96652 2.26997i −0.113160 0.130622i
\(303\) 21.4894 7.50845i 1.23454 0.431349i
\(304\) −24.0189 + 2.57191i −1.37758 + 0.147509i
\(305\) 1.86029 0.106520
\(306\) 0.628003 3.36284i 0.0359005 0.192241i
\(307\) 18.3982 7.62077i 1.05004 0.434940i 0.210133 0.977673i \(-0.432610\pi\)
0.839906 + 0.542733i \(0.182610\pi\)
\(308\) 2.66559 0.679745i 0.151886 0.0387321i
\(309\) −1.17275 + 20.7135i −0.0667154 + 1.17835i
\(310\) −0.924197 + 1.84582i −0.0524909 + 0.104835i
\(311\) 0.938468 0.938468i 0.0532157 0.0532157i −0.679998 0.733214i \(-0.738019\pi\)
0.733214 + 0.679998i \(0.238019\pi\)
\(312\) 12.9049 + 10.0939i 0.730597 + 0.571454i
\(313\) 11.2850 + 11.2850i 0.637867 + 0.637867i 0.950029 0.312162i \(-0.101053\pi\)
−0.312162 + 0.950029i \(0.601053\pi\)
\(314\) 18.5324 6.16597i 1.04584 0.347966i
\(315\) 0.0660102 + 0.229917i 0.00371926 + 0.0129543i
\(316\) 15.8698 + 2.28520i 0.892746 + 0.128552i
\(317\) 7.57388 + 18.2850i 0.425391 + 1.02699i 0.980731 + 0.195362i \(0.0625881\pi\)
−0.555340 + 0.831623i \(0.687412\pi\)
\(318\) −2.38024 8.78346i −0.133477 0.492552i
\(319\) 32.0062i 1.79200i
\(320\) 1.06257 + 1.14275i 0.0593994 + 0.0638816i
\(321\) 1.83043 0.639555i 0.102164 0.0356965i
\(322\) −0.294211 + 4.10743i −0.0163957 + 0.228898i
\(323\) −4.49881 + 1.86347i −0.250321 + 0.103686i
\(324\) −16.7868 6.49636i −0.932601 0.360909i
\(325\) −6.35034 + 15.3311i −0.352253 + 0.850415i
\(326\) 3.52913 + 10.6071i 0.195460 + 0.587474i
\(327\) 2.86695 + 1.38227i 0.158543 + 0.0764395i
\(328\) −5.67417 8.83542i −0.313304 0.487854i
\(329\) −0.115556 0.115556i −0.00637082 0.00637082i
\(330\) 1.59443 + 0.205313i 0.0877706 + 0.0113021i
\(331\) −4.79305 + 11.5714i −0.263450 + 0.636024i −0.999147 0.0412860i \(-0.986855\pi\)
0.735698 + 0.677310i \(0.236855\pi\)
\(332\) −3.19125 12.5144i −0.175143 0.686815i
\(333\) 10.0885 + 5.58779i 0.552848 + 0.306209i
\(334\) −2.16220 2.49585i −0.118310 0.136567i
\(335\) 1.91959i 0.104879i
\(336\) 0.951383 2.66758i 0.0519022 0.145528i
\(337\) 7.03034i 0.382967i 0.981496 + 0.191484i \(0.0613299\pi\)
−0.981496 + 0.191484i \(0.938670\pi\)
\(338\) 1.94078 1.68133i 0.105564 0.0914523i
\(339\) −1.80288 + 1.60967i −0.0979188 + 0.0874251i
\(340\) 0.270488 + 0.160566i 0.0146693 + 0.00870792i
\(341\) 9.63574 23.2627i 0.521804 1.25975i
\(342\) 5.29289 + 25.0688i 0.286206 + 1.35557i
\(343\) −3.99847 3.99847i −0.215897 0.215897i
\(344\) 12.0083 17.2834i 0.647443 0.931857i
\(345\) −1.04513 + 2.16770i −0.0562679 + 0.116705i
\(346\) 14.2568 4.74344i 0.766453 0.255009i
\(347\) −4.70857 + 11.3675i −0.252769 + 0.610240i −0.998426 0.0560914i \(-0.982136\pi\)
0.745656 + 0.666331i \(0.232136\pi\)
\(348\) −27.3391 18.3951i −1.46553 0.986079i
\(349\) −29.2204 + 12.1035i −1.56413 + 0.647885i −0.985801 0.167917i \(-0.946296\pi\)
−0.578332 + 0.815802i \(0.696296\pi\)
\(350\) 2.86123 + 0.204947i 0.152939 + 0.0109549i
\(351\) 9.26554 14.7012i 0.494558 0.784693i
\(352\) −13.9237 12.9774i −0.742137 0.691695i
\(353\) 14.9632i 0.796411i −0.917296 0.398206i \(-0.869633\pi\)
0.917296 0.398206i \(-0.130367\pi\)
\(354\) −1.53795 5.67529i −0.0817412 0.301638i
\(355\) −0.302712 0.730811i −0.0160663 0.0387874i
\(356\) −12.3039 + 9.20651i −0.652108 + 0.487944i
\(357\) 0.0322721 0.570001i 0.00170802 0.0301677i
\(358\) 7.32815 + 22.0254i 0.387305 + 1.16408i
\(359\) 19.5707 + 19.5707i 1.03290 + 1.03290i 0.999440 + 0.0334594i \(0.0106524\pi\)
0.0334594 + 0.999440i \(0.489348\pi\)
\(360\) 1.09175 1.24394i 0.0575403 0.0655612i
\(361\) 12.3532 12.3532i 0.650170 0.650170i
\(362\) 6.75320 + 3.38131i 0.354940 + 0.177718i
\(363\) −0.555638 0.0314588i −0.0291634 0.00165116i
\(364\) 2.35115 + 1.39568i 0.123234 + 0.0731537i
\(365\) −1.77883 + 0.736815i −0.0931082 + 0.0385667i
\(366\) −11.6234 + 20.2648i −0.607563 + 1.05926i
\(367\) −21.5484 −1.12482 −0.562410 0.826859i \(-0.690126\pi\)
−0.562410 + 0.826859i \(0.690126\pi\)
\(368\) 25.0131 13.6443i 1.30390 0.711259i
\(369\) −8.71398 + 6.93614i −0.453632 + 0.361081i
\(370\) −0.801482 + 0.694338i −0.0416671 + 0.0360969i
\(371\) −0.581184 1.40310i −0.0301736 0.0728455i
\(372\) −14.3326 21.6006i −0.743112 1.11994i
\(373\) −27.1858 11.2607i −1.40763 0.583059i −0.455910 0.890026i \(-0.650686\pi\)
−0.951720 + 0.306967i \(0.900686\pi\)
\(374\) −3.43085 1.71782i −0.177405 0.0888262i
\(375\) 3.03160 + 1.46165i 0.156551 + 0.0754794i
\(376\) −0.240707 + 1.10481i −0.0124135 + 0.0569761i
\(377\) 22.4944 22.4944i 1.15852 1.15852i
\(378\) −2.91701 0.717484i −0.150035 0.0369034i
\(379\) −11.5245 4.77361i −0.591975 0.245204i 0.0665251 0.997785i \(-0.478809\pi\)
−0.658500 + 0.752581i \(0.728809\pi\)
\(380\) −2.33182 0.335774i −0.119620 0.0172249i
\(381\) −7.92850 8.88016i −0.406189 0.454945i
\(382\) −16.4271 1.17665i −0.840484 0.0602029i
\(383\) 33.6911 1.72154 0.860768 0.508998i \(-0.169984\pi\)
0.860768 + 0.508998i \(0.169984\pi\)
\(384\) −19.0875 + 4.43487i −0.974054 + 0.226316i
\(385\) 0.268286 0.0136731
\(386\) −8.50902 0.609492i −0.433098 0.0310223i
\(387\) −19.5270 10.8155i −0.992612 0.549783i
\(388\) 5.17478 + 0.745151i 0.262710 + 0.0378293i
\(389\) 34.0564 + 14.1066i 1.72673 + 0.715233i 0.999587 + 0.0287433i \(0.00915052\pi\)
0.727139 + 0.686490i \(0.240849\pi\)
\(390\) 0.976294 + 1.26489i 0.0494366 + 0.0640501i
\(391\) 4.06135 4.06135i 0.205391 0.205391i
\(392\) −4.11417 + 18.8834i −0.207797 + 0.953754i
\(393\) −13.0745 + 27.1178i −0.659521 + 1.36791i
\(394\) 0.795838 + 0.398474i 0.0400937 + 0.0200749i
\(395\) 1.44466 + 0.598399i 0.0726889 + 0.0301087i
\(396\) −12.1988 + 16.0859i −0.613014 + 0.808347i
\(397\) 11.3891 + 27.4958i 0.571604 + 1.37997i 0.900189 + 0.435499i \(0.143428\pi\)
−0.328586 + 0.944474i \(0.606572\pi\)
\(398\) −20.5690 + 17.8193i −1.03103 + 0.893202i
\(399\) 1.41039 + 4.03657i 0.0706077 + 0.202081i
\(400\) −9.50460 17.4241i −0.475230 0.871204i
\(401\) −9.31753 −0.465295 −0.232648 0.972561i \(-0.574739\pi\)
−0.232648 + 0.972561i \(0.574739\pi\)
\(402\) 20.9108 + 11.9939i 1.04294 + 0.598203i
\(403\) 23.1215 9.57726i 1.15177 0.477077i
\(404\) −22.6025 13.4172i −1.12452 0.667532i
\(405\) −1.42984 1.01846i −0.0710493 0.0506078i
\(406\) −4.91723 2.46205i −0.244038 0.122189i
\(407\) 9.14621 9.14621i 0.453361 0.453361i
\(408\) −3.43916 + 1.94328i −0.170264 + 0.0962066i
\(409\) 17.7916 + 17.7916i 0.879736 + 0.879736i 0.993507 0.113771i \(-0.0362930\pi\)
−0.113771 + 0.993507i \(0.536293\pi\)
\(410\) −0.323300 0.971708i −0.0159667 0.0479892i
\(411\) −26.3602 1.49245i −1.30025 0.0736171i
\(412\) 19.1810 14.3523i 0.944981 0.707089i
\(413\) −0.375523 0.906592i −0.0184783 0.0446105i
\(414\) −17.0834 24.9291i −0.839602 1.22520i
\(415\) 1.25954i 0.0618285i
\(416\) −0.665128 18.9065i −0.0326106 0.926967i
\(417\) −2.10774 6.03242i −0.103217 0.295409i
\(418\) 28.6629 + 2.05309i 1.40195 + 0.100420i
\(419\) −9.75715 + 4.04154i −0.476668 + 0.197442i −0.608065 0.793888i \(-0.708054\pi\)
0.131397 + 0.991330i \(0.458054\pi\)
\(420\) 0.154193 0.229165i 0.00752386 0.0111821i
\(421\) 1.73340 4.18479i 0.0844806 0.203954i −0.875994 0.482322i \(-0.839793\pi\)
0.960474 + 0.278368i \(0.0897935\pi\)
\(422\) −10.0829 + 3.35470i −0.490826 + 0.163304i
\(423\) 1.19165 + 0.135371i 0.0579401 + 0.00658195i
\(424\) −5.99576 + 8.62963i −0.291180 + 0.419092i
\(425\) −2.82912 2.82912i −0.137233 0.137233i
\(426\) 9.85238 + 1.26868i 0.477350 + 0.0614676i
\(427\) −1.49198 + 3.60195i −0.0722018 + 0.174311i
\(428\) −1.92524 1.14285i −0.0930599 0.0552419i
\(429\) −12.9805 14.5386i −0.626704 0.701928i
\(430\) 1.55132 1.34393i 0.0748112 0.0648103i
\(431\) 24.2865i 1.16984i −0.811092 0.584919i \(-0.801126\pi\)
0.811092 0.584919i \(-0.198874\pi\)
\(432\) 6.72920 + 19.6651i 0.323759 + 0.946140i
\(433\) 21.4987i 1.03316i −0.856239 0.516580i \(-0.827205\pi\)
0.856239 0.516580i \(-0.172795\pi\)
\(434\) −2.83272 3.26984i −0.135975 0.156957i
\(435\) −2.14031 2.39722i −0.102620 0.114938i
\(436\) −0.908128 3.56119i −0.0434915 0.170550i
\(437\) −16.4619 + 39.7424i −0.787478 + 1.90114i
\(438\) 3.08802 23.9812i 0.147551 1.14586i
\(439\) −1.71247 1.71247i −0.0817316 0.0817316i 0.665059 0.746791i \(-0.268406\pi\)
−0.746791 + 0.665059i \(0.768406\pi\)
\(440\) −1.00309 1.56194i −0.0478203 0.0744623i
\(441\) 20.3677 + 2.31375i 0.969890 + 0.110179i
\(442\) −1.20394 3.61856i −0.0572657 0.172117i
\(443\) −1.69988 + 4.10388i −0.0807639 + 0.194981i −0.959103 0.283056i \(-0.908652\pi\)
0.878339 + 0.478037i \(0.158652\pi\)
\(444\) −2.55589 13.0692i −0.121297 0.620236i
\(445\) −1.38462 + 0.573527i −0.0656371 + 0.0271878i
\(446\) 0.651889 9.10093i 0.0308679 0.430942i
\(447\) 9.70278 + 27.7697i 0.458926 + 1.31346i
\(448\) −3.06483 + 1.14088i −0.144800 + 0.0539016i
\(449\) 6.34782i 0.299572i 0.988718 + 0.149786i \(0.0478585\pi\)
−0.988718 + 0.149786i \(0.952142\pi\)
\(450\) −17.3655 + 11.9002i −0.818620 + 0.560982i
\(451\) 4.78028 + 11.5406i 0.225095 + 0.543427i
\(452\) 2.76230 + 0.397762i 0.129928 + 0.0187091i
\(453\) 3.67242 + 0.207924i 0.172546 + 0.00976910i
\(454\) 4.59855 1.53000i 0.215821 0.0718064i
\(455\) 0.188555 + 0.188555i 0.00883961 + 0.00883961i
\(456\) 18.2273 23.3034i 0.853572 1.09128i
\(457\) 10.0211 10.0211i 0.468765 0.468765i −0.432749 0.901514i \(-0.642456\pi\)
0.901514 + 0.432749i \(0.142456\pi\)
\(458\) 14.2906 28.5413i 0.667754 1.33365i
\(459\) 2.41984 + 3.42038i 0.112949 + 0.159650i
\(460\) 2.69261 0.686634i 0.125544 0.0320145i
\(461\) 19.1656 7.93865i 0.892631 0.369740i 0.111249 0.993793i \(-0.464515\pi\)
0.781382 + 0.624053i \(0.214515\pi\)
\(462\) −1.67629 + 2.92253i −0.0779882 + 0.135969i
\(463\) 30.9634 1.43899 0.719496 0.694496i \(-0.244373\pi\)
0.719496 + 0.694496i \(0.244373\pi\)
\(464\) 4.05109 + 37.8329i 0.188067 + 1.75635i
\(465\) −0.833919 2.38670i −0.0386721 0.110681i
\(466\) −20.3274 23.4642i −0.941649 1.08696i
\(467\) −2.87599 6.94326i −0.133085 0.321296i 0.843263 0.537502i \(-0.180632\pi\)
−0.976348 + 0.216206i \(0.930632\pi\)
\(468\) −19.8789 + 2.73190i −0.918904 + 0.126282i
\(469\) 3.71679 + 1.53954i 0.171625 + 0.0710895i
\(470\) −0.0493719 + 0.0986062i −0.00227736 + 0.00454837i
\(471\) −10.3887 + 21.5471i −0.478685 + 0.992839i
\(472\) −3.87406 + 5.57589i −0.178318 + 0.256651i
\(473\) −17.7030 + 17.7030i −0.813987 + 0.813987i
\(474\) −15.5451 + 11.9983i −0.714008 + 0.551102i
\(475\) 27.6845 + 11.4673i 1.27025 + 0.526155i
\(476\) −0.527829 + 0.394952i −0.0241930 + 0.0181026i
\(477\) 9.74987 + 5.40021i 0.446416 + 0.247259i
\(478\) −2.25657 + 31.5036i −0.103213 + 1.44094i
\(479\) 12.3852 0.565894 0.282947 0.959136i \(-0.408688\pi\)
0.282947 + 0.959136i \(0.408688\pi\)
\(480\) −1.91069 0.0408792i −0.0872105 0.00186587i
\(481\) 12.8562 0.586192
\(482\) 1.01388 14.1547i 0.0461812 0.644729i
\(483\) −3.35896 3.76214i −0.152838 0.171183i
\(484\) 0.384999 + 0.514528i 0.0175000 + 0.0233876i
\(485\) 0.471072 + 0.195124i 0.0213903 + 0.00886014i
\(486\) 20.0283 9.21224i 0.908504 0.417876i
\(487\) −8.82766 + 8.82766i −0.400019 + 0.400019i −0.878240 0.478220i \(-0.841282\pi\)
0.478220 + 0.878240i \(0.341282\pi\)
\(488\) 26.5485 4.78109i 1.20180 0.216430i
\(489\) −12.3326 5.94602i −0.557700 0.268889i
\(490\) −0.843864 + 1.68538i −0.0381219 + 0.0761375i
\(491\) 9.13225 + 3.78270i 0.412133 + 0.170711i 0.579109 0.815250i \(-0.303400\pi\)
−0.166977 + 0.985961i \(0.553400\pi\)
\(492\) 12.6052 + 2.54957i 0.568286 + 0.114943i
\(493\) 2.93521 + 7.08623i 0.132195 + 0.319148i
\(494\) 18.7018 + 21.5877i 0.841434 + 0.971276i
\(495\) −1.54047 + 1.22618i −0.0692389 + 0.0551126i
\(496\) −8.44551 + 28.7173i −0.379215 + 1.28945i
\(497\) 1.65780 0.0743626
\(498\) 13.7207 + 7.86983i 0.614837 + 0.352655i
\(499\) −4.86758 + 2.01622i −0.217903 + 0.0902583i −0.488965 0.872304i \(-0.662625\pi\)
0.271062 + 0.962562i \(0.412625\pi\)
\(500\) −0.960283 3.76571i −0.0429452 0.168408i
\(501\) 4.03786 + 0.228613i 0.180398 + 0.0102137i
\(502\) 2.03637 4.06705i 0.0908875 0.181522i
\(503\) 0.926311 0.926311i 0.0413022 0.0413022i −0.686154 0.727456i \(-0.740702\pi\)
0.727456 + 0.686154i \(0.240702\pi\)
\(504\) 1.53295 + 3.11154i 0.0682831 + 0.138599i
\(505\) −1.81265 1.81265i −0.0806620 0.0806620i
\(506\) −32.1615 + 10.7006i −1.42975 + 0.475698i
\(507\) −0.177770 + 3.13984i −0.00789505 + 0.139445i
\(508\) −1.95920 + 13.6059i −0.0869253 + 0.603662i
\(509\) −1.79808 4.34096i −0.0796987 0.192410i 0.879008 0.476808i \(-0.158206\pi\)
−0.958706 + 0.284398i \(0.908206\pi\)
\(510\) −0.371839 + 0.100765i −0.0164653 + 0.00446195i
\(511\) 4.03517i 0.178505i
\(512\) 18.1011 + 13.5775i 0.799964 + 0.600048i
\(513\) −26.5471 16.7315i −1.17208 0.738714i
\(514\) 2.30211 32.1394i 0.101542 1.41761i
\(515\) 2.15853 0.894090i 0.0951160 0.0393983i
\(516\) 4.94707 + 25.2962i 0.217783 + 1.11360i
\(517\) 0.514755 1.24273i 0.0226389 0.0546551i
\(518\) −0.701602 2.10873i −0.0308266 0.0926522i
\(519\) −7.99195 + 16.5761i −0.350807 + 0.727608i
\(520\) 0.392767 1.80274i 0.0172240 0.0790552i
\(521\) 12.3969 + 12.3969i 0.543120 + 0.543120i 0.924442 0.381322i \(-0.124531\pi\)
−0.381322 + 0.924442i \(0.624531\pi\)
\(522\) 39.4868 8.33700i 1.72829 0.364900i
\(523\) −5.71533 + 13.7980i −0.249914 + 0.603346i −0.998196 0.0600346i \(-0.980879\pi\)
0.748282 + 0.663380i \(0.230879\pi\)
\(524\) 33.6844 8.58975i 1.47151 0.375245i
\(525\) −2.62070 + 2.33985i −0.114377 + 0.102119i
\(526\) −16.8347 19.4325i −0.734030 0.847299i
\(527\) 6.03408i 0.262849i
\(528\) 23.2822 1.16776i 1.01323 0.0508203i
\(529\) 27.7390i 1.20604i
\(530\) −0.774577 + 0.671030i −0.0336455 + 0.0291477i
\(531\) 6.29971 + 3.48925i 0.273384 + 0.151421i
\(532\) 2.52029 4.24566i 0.109269 0.184073i
\(533\) −4.75127 + 11.4706i −0.205800 + 0.496846i
\(534\) 2.40367 18.6666i 0.104017 0.807784i
\(535\) −0.154398 0.154398i −0.00667521 0.00667521i
\(536\) −4.93352 27.3949i −0.213096 1.18328i
\(537\) −25.6084 12.3468i −1.10508 0.532802i
\(538\) −17.1015 + 5.68989i −0.737297 + 0.245308i
\(539\) 8.79818 21.2407i 0.378964 0.914901i
\(540\) 0.162020 + 2.02057i 0.00697223 + 0.0869514i
\(541\) 16.5235 6.84424i 0.710399 0.294257i 0.00192927 0.999998i \(-0.499386\pi\)
0.708470 + 0.705741i \(0.249386\pi\)
\(542\) −16.4514 1.17839i −0.706646 0.0506163i
\(543\) −8.73211 + 3.05102i −0.374731 + 0.130932i
\(544\) 4.27286 + 1.59630i 0.183197 + 0.0684407i
\(545\) 0.358426i 0.0153533i
\(546\) −3.23212 + 0.875876i −0.138322 + 0.0374841i
\(547\) 2.24912 + 5.42985i 0.0961654 + 0.232164i 0.964641 0.263569i \(-0.0848996\pi\)
−0.868475 + 0.495733i \(0.834900\pi\)
\(548\) 18.2649 + 24.4099i 0.780238 + 1.04274i
\(549\) −7.89566 27.5010i −0.336978 1.17371i
\(550\) 7.45398 + 22.4036i 0.317839 + 0.955293i
\(551\) −40.6199 40.6199i −1.73047 1.73047i
\(552\) −9.34411 + 33.6218i −0.397712 + 1.43104i
\(553\) −2.31728 + 2.31728i −0.0985409 + 0.0985409i
\(554\) 11.6194 + 5.81779i 0.493659 + 0.247174i
\(555\) 0.0734137 1.29666i 0.00311624 0.0550402i
\(556\) −3.76643 + 6.34489i −0.159732 + 0.269083i
\(557\) −17.5896 + 7.28584i −0.745294 + 0.308711i −0.722820 0.691036i \(-0.757154\pi\)
−0.0224743 + 0.999747i \(0.507154\pi\)
\(558\) 31.2097 + 5.82833i 1.32121 + 0.246733i
\(559\) −24.8839 −1.05248
\(560\) −0.317127 + 0.0339575i −0.0134011 + 0.00143497i
\(561\) 4.43620 1.55002i 0.187296 0.0654417i
\(562\) −33.7250 + 29.2165i −1.42260 + 1.23243i
\(563\) −7.04761 17.0144i −0.297021 0.717073i −0.999983 0.00584493i \(-0.998139\pi\)
0.702962 0.711228i \(1.74814\pi\)
\(564\) −0.765669 1.15393i −0.0322405 0.0485894i
\(565\) 0.251458 + 0.104157i 0.0105789 + 0.00438194i
\(566\) −13.6218 6.82042i −0.572568 0.286684i
\(567\) 3.11874 1.95168i 0.130975 0.0819630i
\(568\) −6.19832 9.65157i −0.260076 0.404971i
\(569\) 15.9856 15.9856i 0.670152 0.670152i −0.287599 0.957751i \(-0.592857\pi\)
0.957751 + 0.287599i \(0.0928571\pi\)
\(570\) 2.28411 1.76297i 0.0956707 0.0738427i
\(571\) −21.2300 8.79375i −0.888447 0.368007i −0.108680 0.994077i \(-0.534663\pi\)
−0.779767 + 0.626070i \(0.784663\pi\)
\(572\) −3.20759 + 22.2754i −0.134116 + 0.931383i
\(573\) 15.0462 13.4337i 0.628562 0.561201i
\(574\) 2.14075 + 0.153339i 0.0893531 + 0.00640026i
\(575\) −35.3446 −1.47397
\(576\) 12.3836 20.5584i 0.515983 0.856599i
\(577\) 21.1703 0.881332 0.440666 0.897671i \(-0.354742\pi\)
0.440666 + 0.897671i \(0.354742\pi\)
\(578\) −23.0631 1.65198i −0.959297 0.0687133i
\(579\) 7.79371 6.95848i 0.323896 0.289185i
\(580\) −0.528889 + 3.67293i −0.0219609 + 0.152510i
\(581\) 2.43877 + 1.01017i 0.101177 + 0.0419090i
\(582\) −5.06889 + 3.91239i −0.210112 + 0.162174i
\(583\) 8.83917 8.83917i 0.366081 0.366081i
\(584\) −23.4924 + 15.0870i −0.972122 + 0.624304i
\(585\) −1.94444 0.220887i −0.0803927 0.00913255i
\(586\) −31.7697 15.9070i −1.31239 0.657113i
\(587\) −14.4081 5.96803i −0.594686 0.246327i 0.0649791 0.997887i \(-0.479302\pi\)
−0.659665 + 0.751560i \(0.729302\pi\)
\(588\) −13.0868 19.7230i −0.539690 0.813363i
\(589\) −17.2944 41.7523i −0.712603 1.72037i
\(590\) −0.500480 + 0.433575i −0.0206044 + 0.0178500i
\(591\) −1.02905 + 0.359550i −0.0423293 + 0.0147899i
\(592\) −9.65362 + 11.9689i −0.396761 + 0.491920i
\(593\) −20.5777 −0.845025 −0.422512 0.906357i \(-0.638852\pi\)
−0.422512 + 0.906357i \(0.638852\pi\)
\(594\) −3.73211 24.4422i −0.153130 1.00288i
\(595\) −0.0593989 + 0.0246038i −0.00243512 + 0.00100866i
\(596\) 17.3384 29.2081i 0.710208 1.19641i
\(597\) 1.88407 33.2772i 0.0771100 1.36195i
\(598\) −30.1241 15.0831i −1.23187 0.616793i
\(599\) −14.6016 + 14.6016i −0.596604 + 0.596604i −0.939407 0.342803i \(-0.888624\pi\)
0.342803 + 0.939407i \(0.388624\pi\)
\(600\) 23.4208 + 6.50908i 0.956152 + 0.265732i
\(601\) −22.7394 22.7394i −0.927561 0.927561i 0.0699869 0.997548i \(-0.477704\pi\)
−0.997548 + 0.0699869i \(0.977704\pi\)
\(602\) 1.35799 + 4.08157i 0.0553477 + 0.166353i
\(603\) −28.3777 + 8.14738i −1.15563 + 0.331787i
\(604\) −2.54461 3.40072i −0.103539 0.138373i
\(605\) 0.0239839 + 0.0579021i 0.000975082 + 0.00235406i
\(606\) 31.0716 8.42013i 1.26220 0.342044i
\(607\) 40.2640i 1.63426i 0.576451 + 0.817132i \(0.304437\pi\)
−0.576451 + 0.817132i \(0.695563\pi\)
\(608\) −34.1409 + 1.20107i −1.38460 + 0.0487099i
\(609\) 6.35814 2.22155i 0.257645 0.0900216i
\(610\) 2.62412 + 0.187963i 0.106247 + 0.00761038i
\(611\) 1.23519 0.511631i 0.0499703 0.0206984i
\(612\) 1.22564 4.68017i 0.0495436 0.189185i
\(613\) −6.76173 + 16.3243i −0.273104 + 0.659331i −0.999613 0.0278260i \(-0.991142\pi\)
0.726509 + 0.687157i \(0.241142\pi\)
\(614\) 26.7224 8.89091i 1.07843 0.358808i
\(615\) 1.12978 + 0.544710i 0.0455571 + 0.0219648i
\(616\) 3.82876 0.689517i 0.154265 0.0277814i
\(617\) −5.19834 5.19834i −0.209277 0.209277i 0.594683 0.803960i \(-0.297278\pi\)
−0.803960 + 0.594683i \(0.797278\pi\)
\(618\) −3.74717 + 29.1000i −0.150733 + 1.17057i
\(619\) 8.07299 19.4899i 0.324481 0.783366i −0.674502 0.738273i \(-0.735642\pi\)
0.998983 0.0450932i \(-0.0143585\pi\)
\(620\) −1.49017 + 2.51033i −0.0598468 + 0.100817i
\(621\) 36.4814 + 6.24994i 1.46395 + 0.250801i
\(622\) 1.41863 1.22898i 0.0568817 0.0492776i
\(623\) 3.14092i 0.125838i
\(624\) 17.1838 + 15.5423i 0.687902 + 0.622192i
\(625\) 24.4308i 0.977230i
\(626\) 14.7784 + 17.0589i 0.590664 + 0.681810i
\(627\) −26.2534 + 23.4399i −1.04846 + 0.936098i
\(628\) 26.7648 6.82521i 1.06803 0.272356i
\(629\) −1.18621 + 2.86376i −0.0472973 + 0.114186i
\(630\) 0.0698833 + 0.330990i 0.00278422 + 0.0131870i
\(631\) −22.5327 22.5327i −0.897012 0.897012i 0.0981592 0.995171i \(-0.468705\pi\)
−0.995171 + 0.0981592i \(0.968705\pi\)
\(632\) 22.1550 + 4.82698i 0.881280 + 0.192007i
\(633\) 5.65214 11.7231i 0.224652 0.465950i
\(634\) 8.83620 + 26.5580i 0.350930 + 1.05475i
\(635\) −0.513033 + 1.23857i −0.0203591 + 0.0491512i
\(636\) −2.47009 12.6304i −0.0979453 0.500830i
\(637\) 21.1118 8.74478i 0.836479 0.346481i
\(638\) 3.23389 45.1479i 0.128031 1.78742i
\(639\) −9.51892 + 7.57685i −0.376563 + 0.299736i
\(640\) 1.38340 + 1.71932i 0.0546836 + 0.0679622i
\(641\) 41.6012i 1.64315i 0.570100 + 0.821575i \(0.306904\pi\)
−0.570100 + 0.821575i \(0.693096\pi\)
\(642\) 2.64662 0.717210i 0.104454 0.0283060i
\(643\) 7.11746 + 17.1831i 0.280685 + 0.677634i 0.999852 0.0172036i \(-0.00547635\pi\)
−0.719167 + 0.694837i \(0.755476\pi\)
\(644\) −0.830027 + 5.76422i −0.0327077 + 0.227142i
\(645\) −0.142097 + 2.50977i −0.00559506 + 0.0988220i
\(646\) −6.53431 + 2.17405i −0.257089 + 0.0855369i
\(647\) 31.4452 + 31.4452i 1.23624 + 1.23624i 0.961526 + 0.274714i \(0.0885833\pi\)
0.274714 + 0.961526i \(0.411417\pi\)
\(648\) −23.0231 10.8599i −0.904432 0.426617i
\(649\) 5.71128 5.71128i 0.224187 0.224187i
\(650\) −10.5068 + 20.9844i −0.412112 + 0.823075i
\(651\) 5.29004 + 0.299509i 0.207333 + 0.0117387i
\(652\) 3.90645 + 15.3190i 0.152988 + 0.599938i
\(653\) −5.38622 + 2.23104i −0.210779 + 0.0873075i −0.485575 0.874195i \(-0.661390\pi\)
0.274796 + 0.961503i \(0.411390\pi\)
\(654\) 3.90446 + 2.23950i 0.152676 + 0.0875714i
\(655\) 3.39025 0.132468
\(656\) −7.11126 13.0366i −0.277648 0.508992i
\(657\) 18.4424 + 23.1695i 0.719507 + 0.903928i
\(658\) −0.151328 0.174679i −0.00589937 0.00680971i
\(659\) −7.05977 17.0438i −0.275010 0.663932i 0.724674 0.689092i \(-0.241990\pi\)
−0.999683 + 0.0251602i \(0.991990\pi\)
\(660\) 2.22836 + 0.450715i 0.0867388 + 0.0175441i
\(661\) 25.7857 + 10.6808i 1.00295 + 0.415435i 0.822878 0.568219i \(-0.192367\pi\)
0.180071 + 0.983654i \(0.442367\pi\)
\(662\) −7.93025 + 15.8384i −0.308218 + 0.615576i
\(663\) 4.20720 + 2.02845i 0.163394 + 0.0787786i
\(664\) −3.23713 17.9752i −0.125625 0.697574i
\(665\) 0.340489 0.340489i 0.0132036 0.0132036i
\(666\) 13.6663 + 8.90147i 0.529558 + 0.344925i
\(667\) 62.5996 + 25.9296i 2.42387 + 1.00400i
\(668\) −2.79782 3.73911i −0.108251 0.144671i
\(669\) 7.44253 + 8.33586i 0.287745 + 0.322283i
\(670\) 0.193955 2.70778i 0.00749314 0.104611i
\(671\) −32.0904 −1.23883
\(672\) 1.61155 3.66675i 0.0621669 0.141448i
\(673\) 18.5829 0.716319 0.358160 0.933660i \(-0.383404\pi\)
0.358160 + 0.933660i \(0.383404\pi\)
\(674\) −0.710343 + 9.91700i −0.0273614 + 0.381989i
\(675\) 4.35369 25.4128i 0.167574 0.978140i
\(676\) 2.90754 2.17559i 0.111828 0.0836764i
\(677\) −22.9138 9.49122i −0.880650 0.364777i −0.103901 0.994588i \(-0.533133\pi\)
−0.776749 + 0.629810i \(0.783133\pi\)
\(678\) −2.70578 + 2.08843i −0.103915 + 0.0802058i
\(679\) −0.755613 + 0.755613i −0.0289978 + 0.0289978i
\(680\) 0.365327 + 0.253824i 0.0140096 + 0.00973372i
\(681\) −2.57781 + 5.34661i −0.0987817 + 0.204883i
\(682\) 15.9426 31.8408i 0.610475 1.21925i
\(683\) 34.5480 + 14.3103i 1.32194 + 0.547567i 0.928346 0.371717i \(-0.121231\pi\)
0.393597 + 0.919283i \(0.371231\pi\)
\(684\) 4.93319 + 35.8969i 0.188625 + 1.37255i
\(685\) 1.13783 + 2.74696i 0.0434741 + 0.104956i
\(686\) −5.23624 6.04425i −0.199921 0.230770i
\(687\) 12.8946 + 36.9048i 0.491960 + 1.40801i
\(688\) 18.6852 23.1666i 0.712366 0.883219i
\(689\) 12.4246 0.473340
\(690\) −1.69328 + 2.95215i −0.0644622 + 0.112387i
\(691\) −29.9717 + 12.4147i −1.14018 + 0.472277i −0.871228 0.490878i \(-0.836676\pi\)
−0.268948 + 0.963155i \(0.586676\pi\)
\(692\) 20.5900 5.25059i 0.782713 0.199597i
\(693\) −1.13869 3.96612i −0.0432554 0.150660i
\(694\) −7.79048 + 15.5592i −0.295723 + 0.590621i
\(695\) −0.508841 + 0.508841i −0.0193014 + 0.0193014i
\(696\) −36.7059 28.7104i −1.39133 1.08827i
\(697\) −2.11673 2.11673i −0.0801767 0.0801767i
\(698\) −42.4412 + 14.1208i −1.60642 + 0.534479i
\(699\) 37.9610 + 2.14926i 1.43582 + 0.0812924i
\(700\) 4.01534 + 0.578195i 0.151766 + 0.0218537i
\(701\) −6.56454 15.8482i −0.247939 0.598578i 0.750090 0.661336i \(-0.230010\pi\)
−0.998029 + 0.0627582i \(0.980010\pi\)
\(702\) 14.5554 19.8014i 0.549357 0.747354i
\(703\) 23.2154i 0.875585i
\(704\) −18.3296 19.7127i −0.690822 0.742950i
\(705\) −0.0445491 0.127501i −0.00167782 0.00480197i
\(706\) 1.51188 21.1071i 0.0569003 0.794376i
\(707\) 4.96350 2.05595i 0.186672 0.0773219i
\(708\) −1.59600 8.16095i −0.0599815 0.306707i
\(709\) −11.6861 + 28.2128i −0.438882 + 1.05955i 0.537454 + 0.843293i \(0.319386\pi\)
−0.976336 + 0.216261i \(0.930614\pi\)
\(710\) −0.353164 1.06147i −0.0132540 0.0398362i
\(711\) 2.71463 23.8965i 0.101806 0.896190i
\(712\) −18.2862 + 11.7435i −0.685303 + 0.440107i
\(713\) 37.6923 + 37.6923i 1.41159 + 1.41159i
\(714\) 0.103116 0.800783i 0.00385901 0.0299685i
\(715\) −0.839935 + 2.02778i −0.0314118 + 0.0758348i
\(716\) 8.11164 + 31.8095i 0.303146 + 1.18878i
\(717\) −25.7629 28.8552i −0.962133 1.07762i
\(718\) 25.6289 + 29.5838i 0.956463 + 1.10406i
\(719\) 32.6392i 1.21724i −0.793463 0.608619i \(-0.791724\pi\)
0.793463 0.608619i \(-0.208276\pi\)
\(720\) 1.66571 1.64439i 0.0620773 0.0612826i
\(721\) 4.89649i 0.182355i
\(722\) 18.6736 16.1773i 0.694960 0.602056i
\(723\) 11.5754 + 12.9648i 0.430493 + 0.482165i
\(724\) 9.18441 + 5.45202i 0.341336 + 0.202623i
\(725\) 18.0625 43.6067i 0.670825 1.61951i
\(726\) −0.780604 0.100517i −0.0289709 0.00373055i
\(727\) −11.8938 11.8938i −0.441118 0.441118i 0.451270 0.892388i \(-0.350971\pi\)
−0.892388 + 0.451270i \(0.850971\pi\)
\(728\) 3.17552 + 2.20631i 0.117693 + 0.0817713i
\(729\) −8.98742 + 25.4603i −0.332867 + 0.942974i
\(730\) −2.58366 + 0.859619i −0.0956257 + 0.0318159i
\(731\) 2.29598 5.54299i 0.0849199 0.205015i
\(732\) −18.4435 + 27.4110i −0.681690 + 1.01314i
\(733\) −14.2498 + 5.90246i −0.526328 + 0.218012i −0.629994 0.776600i \(-0.716943\pi\)
0.103666 + 0.994612i \(0.466943\pi\)
\(734\) −30.3962 2.17725i −1.12195 0.0803637i
\(735\) −0.761433 2.17925i −0.0280859 0.0803827i
\(736\) 36.6621 16.7193i 1.35138 0.616283i
\(737\) 33.1135i 1.21975i
\(738\) −12.9928 + 8.90366i −0.478270 + 0.327748i
\(739\) −1.65560 3.99698i −0.0609024 0.147031i 0.890499 0.454986i \(-0.150356\pi\)
−0.951401 + 0.307954i \(0.900356\pi\)
\(740\) −1.20073 + 0.898452i −0.0441396 + 0.0330278i
\(741\) −34.9252 1.97738i −1.28301 0.0726408i
\(742\) −0.678049 2.03794i −0.0248920 0.0748151i
\(743\) 15.0005 + 15.0005i 0.550313 + 0.550313i 0.926531 0.376218i \(-0.122776\pi\)
−0.376218 + 0.926531i \(0.622776\pi\)
\(744\) −18.0351 31.9179i −0.661198 1.17017i
\(745\) 2.34240 2.34240i 0.0858188 0.0858188i
\(746\) −37.2106 18.6313i −1.36238 0.682139i
\(747\) −18.6201 + 5.34591i −0.681273 + 0.195597i
\(748\) −4.66598 2.76980i −0.170605 0.101274i
\(749\) 0.422781 0.175122i 0.0154481 0.00639880i
\(750\) 4.12869 + 2.36812i 0.150759 + 0.0864714i
\(751\) 10.9267 0.398720 0.199360 0.979926i \(-0.436114\pi\)
0.199360 + 0.979926i \(0.436114\pi\)
\(752\) −0.451171 + 1.53412i −0.0164525 + 0.0559436i
\(753\) 1.83745 + 5.25884i 0.0669603 + 0.191643i
\(754\) 34.0035 29.4578i 1.23833 1.07279i
\(755\) −0.158519 0.382698i −0.00576908 0.0139278i
\(756\) −4.04224 1.30682i −0.147015 0.0475285i
\(757\) −19.8634 8.22770i −0.721948 0.299041i −0.00870961 0.999962i \(-0.502772\pi\)
−0.713239 + 0.700921i \(0.752772\pi\)
\(758\) −15.7742 7.89809i −0.572943 0.286872i
\(759\) 18.0287 37.3933i 0.654402 1.35729i
\(760\) −3.25534 0.709249i