Properties

Label 91.2.bc.a.6.2
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.2
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.607529 - 2.26733i) q^{2} +(2.39046 + 1.38013i) q^{3} +(-3.03963 + 1.75493i) q^{4} +(-1.12678 - 1.12678i) q^{5} +(1.67694 - 6.25841i) q^{6} +(1.68394 - 2.04067i) q^{7} +(2.50608 + 2.50608i) q^{8} +(2.30952 + 4.00020i) q^{9} +O(q^{10})\) \(q+(-0.607529 - 2.26733i) q^{2} +(2.39046 + 1.38013i) q^{3} +(-3.03963 + 1.75493i) q^{4} +(-1.12678 - 1.12678i) q^{5} +(1.67694 - 6.25841i) q^{6} +(1.68394 - 2.04067i) q^{7} +(2.50608 + 2.50608i) q^{8} +(2.30952 + 4.00020i) q^{9} +(-1.87023 + 3.23933i) q^{10} +(-3.03446 + 0.813080i) q^{11} -9.68815 q^{12} +(1.04831 + 3.44979i) q^{13} +(-5.64992 - 2.57827i) q^{14} +(-1.13841 - 4.24862i) q^{15} +(0.649718 - 1.12534i) q^{16} +(-0.320795 - 0.555633i) q^{17} +(7.66667 - 7.66667i) q^{18} +(-2.04036 + 7.61472i) q^{19} +(5.40242 + 1.44757i) q^{20} +(6.84177 - 2.55409i) q^{21} +(3.68704 + 6.38614i) q^{22} +(-0.126569 - 0.0730744i) q^{23} +(2.53195 + 9.44938i) q^{24} -2.46074i q^{25} +(7.18493 - 4.47270i) q^{26} +4.46896i q^{27} +(-1.53731 + 9.15811i) q^{28} +(1.49412 - 2.58790i) q^{29} +(-8.94139 + 5.16231i) q^{30} +(-4.73334 - 4.73334i) q^{31} +(3.90048 + 1.04513i) q^{32} +(-8.37589 - 2.24431i) q^{33} +(-1.06491 + 1.06491i) q^{34} +(-4.19682 + 0.401964i) q^{35} +(-14.0402 - 8.10610i) q^{36} +(3.75725 - 1.00675i) q^{37} +18.5046 q^{38} +(-2.25523 + 9.69337i) q^{39} -5.64759i q^{40} +(-5.60356 + 1.50147i) q^{41} +(-9.94753 - 13.9609i) q^{42} +(2.42713 - 1.40130i) q^{43} +(7.79674 - 7.79674i) q^{44} +(1.90503 - 7.10966i) q^{45} +(-0.0887896 + 0.331367i) q^{46} +(2.22937 - 2.22937i) q^{47} +(3.10624 - 1.79339i) q^{48} +(-1.32871 - 6.87274i) q^{49} +(-5.57930 + 1.49497i) q^{50} -1.77095i q^{51} +(-9.24062 - 8.64639i) q^{52} -7.32119 q^{53} +(10.1326 - 2.71502i) q^{54} +(4.33533 + 2.50300i) q^{55} +(9.33417 - 0.894011i) q^{56} +(-15.3867 + 15.3867i) q^{57} +(-6.77534 - 1.81545i) q^{58} +(4.00631 + 1.07349i) q^{59} +(10.9164 + 10.9164i) q^{60} +(3.90292 - 2.25335i) q^{61} +(-7.85639 + 13.6077i) q^{62} +(12.0522 + 2.02312i) q^{63} -12.0775i q^{64} +(2.70594 - 5.06836i) q^{65} +20.3544i q^{66} +(-0.366486 - 1.36775i) q^{67} +(1.95020 + 1.12595i) q^{68} +(-0.201704 - 0.349362i) q^{69} +(3.46107 + 9.27135i) q^{70} +(13.8300 + 3.70574i) q^{71} +(-4.23699 + 15.8126i) q^{72} +(-4.99083 + 4.99083i) q^{73} +(-4.56527 - 7.90729i) q^{74} +(3.39614 - 5.88228i) q^{75} +(-7.16138 - 26.7267i) q^{76} +(-3.45060 + 7.56152i) q^{77} +(23.3482 - 0.775656i) q^{78} -0.632916 q^{79} +(-2.00010 + 0.535926i) q^{80} +(0.760810 - 1.31776i) q^{81} +(6.80865 + 11.7929i) q^{82} +(-1.07813 - 1.07813i) q^{83} +(-16.3142 + 19.7704i) q^{84} +(-0.264611 + 0.987541i) q^{85} +(-4.65176 - 4.65176i) q^{86} +(7.14327 - 4.12417i) q^{87} +(-9.64223 - 5.56694i) q^{88} +(-3.51557 - 13.1203i) q^{89} -17.2773 q^{90} +(8.80518 + 3.66998i) q^{91} +0.512963 q^{92} +(-4.78221 - 17.8475i) q^{93} +(-6.40911 - 3.70030i) q^{94} +(10.8791 - 6.28107i) q^{95} +(7.88151 + 7.88151i) q^{96} +(-0.0487160 + 0.181811i) q^{97} +(-14.7755 + 7.18800i) q^{98} +(-10.2606 - 10.2606i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.607529 2.26733i −0.429588 1.60324i −0.753696 0.657223i \(-0.771731\pi\)
0.324108 0.946020i \(-0.394936\pi\)
\(3\) 2.39046 + 1.38013i 1.38013 + 0.796818i 0.992174 0.124860i \(-0.0398481\pi\)
0.387956 + 0.921678i \(0.373181\pi\)
\(4\) −3.03963 + 1.75493i −1.51982 + 0.877467i
\(5\) −1.12678 1.12678i −0.503911 0.503911i 0.408740 0.912651i \(-0.365968\pi\)
−0.912651 + 0.408740i \(0.865968\pi\)
\(6\) 1.67694 6.25841i 0.684607 2.55499i
\(7\) 1.68394 2.04067i 0.636469 0.771303i
\(8\) 2.50608 + 2.50608i 0.886032 + 0.886032i
\(9\) 2.30952 + 4.00020i 0.769839 + 1.33340i
\(10\) −1.87023 + 3.23933i −0.591418 + 1.02437i
\(11\) −3.03446 + 0.813080i −0.914923 + 0.245153i −0.685414 0.728154i \(-0.740379\pi\)
−0.229509 + 0.973306i \(0.573712\pi\)
\(12\) −9.68815 −2.79673
\(13\) 1.04831 + 3.44979i 0.290748 + 0.956800i
\(14\) −5.64992 2.57827i −1.51000 0.689072i
\(15\) −1.13841 4.24862i −0.293937 1.09699i
\(16\) 0.649718 1.12534i 0.162430 0.281336i
\(17\) −0.320795 0.555633i −0.0778042 0.134761i 0.824498 0.565865i \(-0.191458\pi\)
−0.902302 + 0.431104i \(0.858124\pi\)
\(18\) 7.66667 7.66667i 1.80705 1.80705i
\(19\) −2.04036 + 7.61472i −0.468090 + 1.74694i 0.178346 + 0.983968i \(0.442925\pi\)
−0.646436 + 0.762968i \(0.723741\pi\)
\(20\) 5.40242 + 1.44757i 1.20802 + 0.323687i
\(21\) 6.84177 2.55409i 1.49300 0.557348i
\(22\) 3.68704 + 6.38614i 0.786080 + 1.36153i
\(23\) −0.126569 0.0730744i −0.0263914 0.0152371i 0.486746 0.873543i \(-0.338184\pi\)
−0.513138 + 0.858306i \(0.671517\pi\)
\(24\) 2.53195 + 9.44938i 0.516833 + 1.92885i
\(25\) 2.46074i 0.492147i
\(26\) 7.18493 4.47270i 1.40908 0.877169i
\(27\) 4.46896i 0.860051i
\(28\) −1.53731 + 9.15811i −0.290523 + 1.73072i
\(29\) 1.49412 2.58790i 0.277452 0.480561i −0.693299 0.720650i \(-0.743843\pi\)
0.970751 + 0.240089i \(0.0771768\pi\)
\(30\) −8.94139 + 5.16231i −1.63247 + 0.942505i
\(31\) −4.73334 4.73334i −0.850132 0.850132i 0.140017 0.990149i \(-0.455284\pi\)
−0.990149 + 0.140017i \(0.955284\pi\)
\(32\) 3.90048 + 1.04513i 0.689514 + 0.184755i
\(33\) −8.37589 2.24431i −1.45806 0.390685i
\(34\) −1.06491 + 1.06491i −0.182631 + 0.182631i
\(35\) −4.19682 + 0.401964i −0.709391 + 0.0679444i
\(36\) −14.0402 8.10610i −2.34003 1.35102i
\(37\) 3.75725 1.00675i 0.617688 0.165509i 0.0636115 0.997975i \(-0.479738\pi\)
0.554077 + 0.832466i \(0.313071\pi\)
\(38\) 18.5046 3.00185
\(39\) −2.25523 + 9.69337i −0.361126 + 1.55218i
\(40\) 5.64759i 0.892963i
\(41\) −5.60356 + 1.50147i −0.875129 + 0.234490i −0.668305 0.743888i \(-0.732980\pi\)
−0.206825 + 0.978378i \(0.566313\pi\)
\(42\) −9.94753 13.9609i −1.53494 2.15421i
\(43\) 2.42713 1.40130i 0.370133 0.213697i −0.303383 0.952869i \(-0.598116\pi\)
0.673517 + 0.739172i \(0.264783\pi\)
\(44\) 7.79674 7.79674i 1.17540 1.17540i
\(45\) 1.90503 7.10966i 0.283985 1.05985i
\(46\) −0.0887896 + 0.331367i −0.0130913 + 0.0488574i
\(47\) 2.22937 2.22937i 0.325187 0.325187i −0.525566 0.850753i \(-0.676146\pi\)
0.850753 + 0.525566i \(0.176146\pi\)
\(48\) 3.10624 1.79339i 0.448348 0.258854i
\(49\) −1.32871 6.87274i −0.189815 0.981820i
\(50\) −5.57930 + 1.49497i −0.789032 + 0.211420i
\(51\) 1.77095i 0.247983i
\(52\) −9.24062 8.64639i −1.28144 1.19904i
\(53\) −7.32119 −1.00564 −0.502821 0.864390i \(-0.667705\pi\)
−0.502821 + 0.864390i \(0.667705\pi\)
\(54\) 10.1326 2.71502i 1.37887 0.369467i
\(55\) 4.33533 + 2.50300i 0.584575 + 0.337505i
\(56\) 9.33417 0.894011i 1.24733 0.119467i
\(57\) −15.3867 + 15.3867i −2.03802 + 2.03802i
\(58\) −6.77534 1.81545i −0.889646 0.238380i
\(59\) 4.00631 + 1.07349i 0.521578 + 0.139756i 0.509996 0.860177i \(-0.329647\pi\)
0.0115814 + 0.999933i \(0.496313\pi\)
\(60\) 10.9164 + 10.9164i 1.40930 + 1.40930i
\(61\) 3.90292 2.25335i 0.499718 0.288512i −0.228879 0.973455i \(-0.573506\pi\)
0.728597 + 0.684942i \(0.240173\pi\)
\(62\) −7.85639 + 13.6077i −0.997763 + 1.72818i
\(63\) 12.0522 + 2.02312i 1.51843 + 0.254889i
\(64\) 12.0775i 1.50969i
\(65\) 2.70594 5.06836i 0.335631 0.628653i
\(66\) 20.3544i 2.50545i
\(67\) −0.366486 1.36775i −0.0447734 0.167097i 0.939919 0.341397i \(-0.110900\pi\)
−0.984692 + 0.174301i \(0.944234\pi\)
\(68\) 1.95020 + 1.12595i 0.236496 + 0.136541i
\(69\) −0.201704 0.349362i −0.0242823 0.0420582i
\(70\) 3.46107 + 9.27135i 0.413677 + 1.10814i
\(71\) 13.8300 + 3.70574i 1.64132 + 0.439791i 0.957165 0.289544i \(-0.0935038\pi\)
0.684157 + 0.729335i \(0.260170\pi\)
\(72\) −4.23699 + 15.8126i −0.499334 + 1.86354i
\(73\) −4.99083 + 4.99083i −0.584133 + 0.584133i −0.936036 0.351904i \(-0.885534\pi\)
0.351904 + 0.936036i \(0.385534\pi\)
\(74\) −4.56527 7.90729i −0.530702 0.919203i
\(75\) 3.39614 5.88228i 0.392152 0.679227i
\(76\) −7.16138 26.7267i −0.821467 3.06576i
\(77\) −3.45060 + 7.56152i −0.393233 + 0.861715i
\(78\) 23.3482 0.775656i 2.64366 0.0878258i
\(79\) −0.632916 −0.0712086 −0.0356043 0.999366i \(-0.511336\pi\)
−0.0356043 + 0.999366i \(0.511336\pi\)
\(80\) −2.00010 + 0.535926i −0.223618 + 0.0599184i
\(81\) 0.760810 1.31776i 0.0845344 0.146418i
\(82\) 6.80865 + 11.7929i 0.751890 + 1.30231i
\(83\) −1.07813 1.07813i −0.118340 0.118340i 0.645457 0.763797i \(-0.276667\pi\)
−0.763797 + 0.645457i \(0.776667\pi\)
\(84\) −16.3142 + 19.7704i −1.78003 + 2.15712i
\(85\) −0.264611 + 0.987541i −0.0287011 + 0.107114i
\(86\) −4.65176 4.65176i −0.501612 0.501612i
\(87\) 7.14327 4.12417i 0.765839 0.442158i
\(88\) −9.64223 5.56694i −1.02786 0.593438i
\(89\) −3.51557 13.1203i −0.372649 1.39075i −0.856749 0.515734i \(-0.827519\pi\)
0.484099 0.875013i \(-0.339147\pi\)
\(90\) −17.2773 −1.82119
\(91\) 8.80518 + 3.66998i 0.923034 + 0.384718i
\(92\) 0.512963 0.0534801
\(93\) −4.78221 17.8475i −0.495892 1.85069i
\(94\) −6.40911 3.70030i −0.661049 0.381657i
\(95\) 10.8791 6.28107i 1.11618 0.644425i
\(96\) 7.88151 + 7.88151i 0.804403 + 0.804403i
\(97\) −0.0487160 + 0.181811i −0.00494637 + 0.0184601i −0.968355 0.249577i \(-0.919708\pi\)
0.963409 + 0.268037i \(0.0863750\pi\)
\(98\) −14.7755 + 7.18800i −1.49255 + 0.726098i
\(99\) −10.2606 10.2606i −1.03123 1.03123i
\(100\) 4.31843 + 7.47974i 0.431843 + 0.747974i
\(101\) 0.596904 1.03387i 0.0593942 0.102874i −0.834799 0.550554i \(-0.814416\pi\)
0.894194 + 0.447680i \(0.147750\pi\)
\(102\) −4.01534 + 1.07591i −0.397577 + 0.106531i
\(103\) −4.79583 −0.472548 −0.236274 0.971687i \(-0.575926\pi\)
−0.236274 + 0.971687i \(0.575926\pi\)
\(104\) −6.01830 + 11.2726i −0.590143 + 1.10537i
\(105\) −10.5871 4.83127i −1.03319 0.471484i
\(106\) 4.44783 + 16.5995i 0.432012 + 1.61229i
\(107\) −7.64819 + 13.2471i −0.739378 + 1.28064i 0.213397 + 0.976966i \(0.431547\pi\)
−0.952776 + 0.303675i \(0.901786\pi\)
\(108\) −7.84273 13.5840i −0.754667 1.30712i
\(109\) 9.12415 9.12415i 0.873935 0.873935i −0.118963 0.992899i \(-0.537957\pi\)
0.992899 + 0.118963i \(0.0379571\pi\)
\(110\) 3.04129 11.3503i 0.289976 1.08220i
\(111\) 10.3710 + 2.77890i 0.984370 + 0.263761i
\(112\) −1.20238 3.22087i −0.113614 0.304344i
\(113\) −0.770731 1.33494i −0.0725042 0.125581i 0.827494 0.561475i \(-0.189766\pi\)
−0.899998 + 0.435894i \(0.856432\pi\)
\(114\) 44.2345 + 25.5388i 4.14294 + 2.39193i
\(115\) 0.0602761 + 0.224953i 0.00562078 + 0.0209770i
\(116\) 10.4884i 0.973819i
\(117\) −11.3788 + 12.1608i −1.05197 + 1.12427i
\(118\) 9.73580i 0.896253i
\(119\) −1.67407 0.281013i −0.153461 0.0257605i
\(120\) 7.79441 13.5003i 0.711529 1.23240i
\(121\) −0.979449 + 0.565485i −0.0890408 + 0.0514077i
\(122\) −7.48023 7.48023i −0.677228 0.677228i
\(123\) −15.4673 4.14445i −1.39464 0.373692i
\(124\) 22.6943 + 6.08092i 2.03801 + 0.546083i
\(125\) −8.40660 + 8.40660i −0.751910 + 0.751910i
\(126\) −2.73499 28.5554i −0.243652 2.54392i
\(127\) 2.81842 + 1.62722i 0.250095 + 0.144392i 0.619808 0.784754i \(-0.287211\pi\)
−0.369713 + 0.929146i \(0.620544\pi\)
\(128\) −19.5827 + 5.24716i −1.73088 + 0.463788i
\(129\) 7.73592 0.681110
\(130\) −13.1356 3.05608i −1.15207 0.268036i
\(131\) 16.4678i 1.43880i 0.694597 + 0.719400i \(0.255583\pi\)
−0.694597 + 0.719400i \(0.744417\pi\)
\(132\) 29.3983 7.87724i 2.55879 0.685626i
\(133\) 12.1033 + 16.9864i 1.04949 + 1.47291i
\(134\) −2.87848 + 1.66189i −0.248663 + 0.143565i
\(135\) 5.03553 5.03553i 0.433389 0.433389i
\(136\) 0.588523 2.19640i 0.0504654 0.188339i
\(137\) −0.0978163 + 0.365056i −0.00835701 + 0.0311888i −0.969978 0.243191i \(-0.921806\pi\)
0.961621 + 0.274380i \(0.0884725\pi\)
\(138\) −0.669577 + 0.669577i −0.0569982 + 0.0569982i
\(139\) 8.52132 4.91978i 0.722769 0.417291i −0.0930022 0.995666i \(-0.529646\pi\)
0.815771 + 0.578375i \(0.196313\pi\)
\(140\) 12.0514 8.58696i 1.01853 0.725731i
\(141\) 8.40602 2.25239i 0.707914 0.189685i
\(142\) 33.6085i 2.82037i
\(143\) −5.98600 9.61588i −0.500574 0.804121i
\(144\) 6.00214 0.500179
\(145\) −4.59954 + 1.23244i −0.381971 + 0.102349i
\(146\) 14.3479 + 8.28378i 1.18744 + 0.685570i
\(147\) 6.30905 18.2628i 0.520362 1.50629i
\(148\) −9.65388 + 9.65388i −0.793544 + 0.793544i
\(149\) −5.36436 1.43738i −0.439465 0.117754i 0.0323006 0.999478i \(-0.489717\pi\)
−0.471766 + 0.881724i \(0.656383\pi\)
\(150\) −15.4003 4.12650i −1.25743 0.336927i
\(151\) 3.35521 + 3.35521i 0.273043 + 0.273043i 0.830324 0.557281i \(-0.188155\pi\)
−0.557281 + 0.830324i \(0.688155\pi\)
\(152\) −24.1964 + 13.9698i −1.96258 + 1.13310i
\(153\) 1.48176 2.56649i 0.119793 0.207488i
\(154\) 19.2408 + 3.22981i 1.55047 + 0.260266i
\(155\) 10.6669i 0.856782i
\(156\) −10.1561 33.4221i −0.813143 2.67591i
\(157\) 12.6201i 1.00720i −0.863938 0.503598i \(-0.832009\pi\)
0.863938 0.503598i \(-0.167991\pi\)
\(158\) 0.384515 + 1.43503i 0.0305904 + 0.114165i
\(159\) −17.5010 10.1042i −1.38792 0.801314i
\(160\) −3.21735 5.57262i −0.254354 0.440554i
\(161\) −0.362255 + 0.135233i −0.0285497 + 0.0106578i
\(162\) −3.45001 0.924428i −0.271058 0.0726299i
\(163\) −3.37843 + 12.6085i −0.264619 + 0.987571i 0.697864 + 0.716230i \(0.254134\pi\)
−0.962483 + 0.271341i \(0.912533\pi\)
\(164\) 14.3978 14.3978i 1.12428 1.12428i
\(165\) 6.90893 + 11.9666i 0.537860 + 0.931601i
\(166\) −1.78948 + 3.09948i −0.138891 + 0.240566i
\(167\) 4.79697 + 17.9025i 0.371201 + 1.38534i 0.858817 + 0.512282i \(0.171200\pi\)
−0.487616 + 0.873058i \(0.662133\pi\)
\(168\) 23.5468 + 10.7453i 1.81667 + 0.829016i
\(169\) −10.8021 + 7.23288i −0.830931 + 0.556375i
\(170\) 2.39984 0.184059
\(171\) −35.1726 + 9.42448i −2.68972 + 0.720708i
\(172\) −4.91839 + 8.51890i −0.375024 + 0.649560i
\(173\) 2.79684 + 4.84427i 0.212640 + 0.368303i 0.952540 0.304414i \(-0.0984605\pi\)
−0.739900 + 0.672717i \(0.765127\pi\)
\(174\) −13.6906 13.6906i −1.03788 1.03788i
\(175\) −5.02156 4.14373i −0.379595 0.313236i
\(176\) −1.05655 + 3.94308i −0.0796402 + 0.297221i
\(177\) 8.09536 + 8.09536i 0.608485 + 0.608485i
\(178\) −27.6122 + 15.9419i −2.06962 + 1.19490i
\(179\) 8.21928 + 4.74540i 0.614338 + 0.354688i 0.774661 0.632377i \(-0.217920\pi\)
−0.160324 + 0.987065i \(0.551254\pi\)
\(180\) 6.68640 + 24.9540i 0.498375 + 1.85996i
\(181\) −6.91516 −0.514000 −0.257000 0.966411i \(-0.582734\pi\)
−0.257000 + 0.966411i \(0.582734\pi\)
\(182\) 2.97164 22.1939i 0.220273 1.64512i
\(183\) 12.4397 0.919568
\(184\) −0.134060 0.500321i −0.00988307 0.0368841i
\(185\) −5.36798 3.09920i −0.394662 0.227858i
\(186\) −37.5607 + 21.6857i −2.75408 + 1.59007i
\(187\) 1.42521 + 1.42521i 0.104222 + 0.104222i
\(188\) −2.86407 + 10.6889i −0.208884 + 0.779565i
\(189\) 9.11969 + 7.52545i 0.663360 + 0.547396i
\(190\) −20.8506 20.8506i −1.51266 1.51266i
\(191\) 1.25251 + 2.16942i 0.0906287 + 0.156974i 0.907776 0.419456i \(-0.137779\pi\)
−0.817147 + 0.576429i \(0.804446\pi\)
\(192\) 16.6685 28.8707i 1.20295 2.08356i
\(193\) 21.7882 5.83813i 1.56835 0.420238i 0.633054 0.774108i \(-0.281801\pi\)
0.935295 + 0.353870i \(0.115134\pi\)
\(194\) 0.441821 0.0317209
\(195\) 13.4634 8.38114i 0.964136 0.600186i
\(196\) 16.1000 + 18.5588i 1.15000 + 1.32563i
\(197\) −4.63560 17.3003i −0.330273 1.23259i −0.908904 0.417005i \(-0.863080\pi\)
0.578631 0.815589i \(-0.303587\pi\)
\(198\) −17.0306 + 29.4978i −1.21031 + 2.09632i
\(199\) 8.20617 + 14.2135i 0.581720 + 1.00757i 0.995276 + 0.0970896i \(0.0309533\pi\)
−0.413556 + 0.910479i \(0.635713\pi\)
\(200\) 6.16680 6.16680i 0.436058 0.436058i
\(201\) 1.01160 3.77533i 0.0713526 0.266291i
\(202\) −2.70675 0.725273i −0.190447 0.0510300i
\(203\) −2.76505 7.40688i −0.194068 0.519861i
\(204\) 3.10791 + 5.38306i 0.217597 + 0.376889i
\(205\) 8.00580 + 4.62215i 0.559150 + 0.322825i
\(206\) 2.91361 + 10.8737i 0.203001 + 0.757609i
\(207\) 0.675066i 0.0469203i
\(208\) 4.56331 + 1.06169i 0.316408 + 0.0736146i
\(209\) 24.7655i 1.71307i
\(210\) −4.52214 + 26.9395i −0.312057 + 1.85900i
\(211\) 4.93176 8.54207i 0.339517 0.588060i −0.644825 0.764330i \(-0.723070\pi\)
0.984342 + 0.176270i \(0.0564032\pi\)
\(212\) 22.2537 12.8482i 1.52839 0.882418i
\(213\) 27.9456 + 27.9456i 1.91480 + 1.91480i
\(214\) 34.6819 + 9.29299i 2.37081 + 0.635256i
\(215\) −4.31380 1.15588i −0.294198 0.0788302i
\(216\) −11.1996 + 11.1996i −0.762033 + 0.762033i
\(217\) −17.6298 + 1.68856i −1.19679 + 0.114627i
\(218\) −26.2306 15.1443i −1.77656 1.02570i
\(219\) −18.8184 + 5.04236i −1.27163 + 0.340731i
\(220\) −17.5704 −1.18460
\(221\) 1.58053 1.68915i 0.106318 0.113624i
\(222\) 25.2027i 1.69149i
\(223\) 8.41926 2.25594i 0.563796 0.151069i 0.0343461 0.999410i \(-0.489065\pi\)
0.529450 + 0.848341i \(0.322398\pi\)
\(224\) 8.70094 6.19968i 0.581356 0.414234i
\(225\) 9.84344 5.68312i 0.656230 0.378874i
\(226\) −2.55852 + 2.55852i −0.170190 + 0.170190i
\(227\) −4.37226 + 16.3175i −0.290197 + 1.08303i 0.654760 + 0.755837i \(0.272770\pi\)
−0.944957 + 0.327194i \(0.893897\pi\)
\(228\) 19.7673 73.7725i 1.30912 4.88570i
\(229\) −1.72909 + 1.72909i −0.114262 + 0.114262i −0.761926 0.647664i \(-0.775746\pi\)
0.647664 + 0.761926i \(0.275746\pi\)
\(230\) 0.473424 0.273331i 0.0312166 0.0180229i
\(231\) −18.6844 + 13.3132i −1.22934 + 0.875943i
\(232\) 10.2299 2.74108i 0.671624 0.179961i
\(233\) 5.37483i 0.352117i 0.984380 + 0.176058i \(0.0563348\pi\)
−0.984380 + 0.176058i \(0.943665\pi\)
\(234\) 34.4854 + 18.4114i 2.25438 + 1.20359i
\(235\) −5.02401 −0.327730
\(236\) −14.0616 + 3.76780i −0.915334 + 0.245263i
\(237\) −1.51296 0.873507i −0.0982772 0.0567404i
\(238\) 0.379893 + 3.96638i 0.0246248 + 0.257102i
\(239\) −11.9572 + 11.9572i −0.773448 + 0.773448i −0.978708 0.205260i \(-0.934196\pi\)
0.205260 + 0.978708i \(0.434196\pi\)
\(240\) −5.52081 1.47930i −0.356367 0.0954882i
\(241\) −12.9893 3.48047i −0.836713 0.224197i −0.185073 0.982725i \(-0.559252\pi\)
−0.651640 + 0.758528i \(0.725919\pi\)
\(242\) 1.87718 + 1.87718i 0.120670 + 0.120670i
\(243\) 15.2481 8.80347i 0.978163 0.564743i
\(244\) −7.90898 + 13.6987i −0.506320 + 0.876972i
\(245\) −6.24690 + 9.24122i −0.399100 + 0.590400i
\(246\) 37.5873i 2.39648i
\(247\) −28.4081 + 0.943754i −1.80756 + 0.0600496i
\(248\) 23.7242i 1.50649i
\(249\) −1.08926 4.06519i −0.0690293 0.257621i
\(250\) 24.1678 + 13.9533i 1.52850 + 0.882483i
\(251\) −6.40248 11.0894i −0.404121 0.699958i 0.590098 0.807332i \(-0.299089\pi\)
−0.994219 + 0.107374i \(0.965756\pi\)
\(252\) −40.1847 + 15.0013i −2.53140 + 0.944991i
\(253\) 0.443482 + 0.118831i 0.0278815 + 0.00747082i
\(254\) 1.97716 7.37887i 0.124058 0.462992i
\(255\) −1.99548 + 1.99548i −0.124962 + 0.124962i
\(256\) 11.7166 + 20.2937i 0.732286 + 1.26836i
\(257\) −5.19036 + 8.98997i −0.323766 + 0.560779i −0.981262 0.192679i \(-0.938282\pi\)
0.657496 + 0.753458i \(0.271616\pi\)
\(258\) −4.69979 17.5399i −0.292596 1.09198i
\(259\) 4.27252 9.36263i 0.265482 0.581766i
\(260\) 0.669566 + 20.1547i 0.0415247 + 1.24994i
\(261\) 13.8028 0.854373
\(262\) 37.3379 10.0047i 2.30674 0.618090i
\(263\) 2.18977 3.79279i 0.135027 0.233873i −0.790581 0.612358i \(-0.790221\pi\)
0.925608 + 0.378484i \(0.123555\pi\)
\(264\) −15.3662 26.6151i −0.945725 1.63804i
\(265\) 8.24936 + 8.24936i 0.506754 + 0.506754i
\(266\) 31.1607 37.7620i 1.91058 2.31533i
\(267\) 9.70388 36.2154i 0.593868 2.21635i
\(268\) 3.51429 + 3.51429i 0.214669 + 0.214669i
\(269\) 10.1192 5.84233i 0.616980 0.356213i −0.158713 0.987325i \(-0.550734\pi\)
0.775692 + 0.631112i \(0.217401\pi\)
\(270\) −14.4764 8.35797i −0.881007 0.508650i
\(271\) −7.94389 29.6470i −0.482557 1.80093i −0.590819 0.806804i \(-0.701195\pi\)
0.108262 0.994122i \(-0.465471\pi\)
\(272\) −0.833705 −0.0505508
\(273\) 15.9833 + 20.9252i 0.967356 + 1.26645i
\(274\) 0.887127 0.0535933
\(275\) 2.00078 + 7.46700i 0.120651 + 0.450277i
\(276\) 1.22621 + 0.707955i 0.0738094 + 0.0426139i
\(277\) −16.5109 + 9.53260i −0.992047 + 0.572758i −0.905885 0.423523i \(-0.860793\pi\)
−0.0861613 + 0.996281i \(0.527460\pi\)
\(278\) −16.3317 16.3317i −0.979511 0.979511i
\(279\) 8.00258 29.8660i 0.479102 1.78803i
\(280\) −11.5249 9.51019i −0.688745 0.568343i
\(281\) 11.8671 + 11.8671i 0.707931 + 0.707931i 0.966100 0.258169i \(-0.0831190\pi\)
−0.258169 + 0.966100i \(0.583119\pi\)
\(282\) −10.2138 17.6908i −0.608223 1.05347i
\(283\) −4.21864 + 7.30690i −0.250772 + 0.434350i −0.963739 0.266848i \(-0.914018\pi\)
0.712966 + 0.701198i \(0.247351\pi\)
\(284\) −48.5415 + 13.0067i −2.88041 + 0.771804i
\(285\) 34.6748 2.05396
\(286\) −18.1657 + 19.4141i −1.07416 + 1.14798i
\(287\) −6.37204 + 13.9634i −0.376129 + 0.824235i
\(288\) 4.82750 + 18.0165i 0.284463 + 1.06163i
\(289\) 8.29418 14.3659i 0.487893 0.845055i
\(290\) 5.58870 + 9.67992i 0.328180 + 0.568424i
\(291\) −0.367376 + 0.367376i −0.0215360 + 0.0215360i
\(292\) 6.41172 23.9289i 0.375218 1.40033i
\(293\) 8.00676 + 2.14541i 0.467760 + 0.125336i 0.484998 0.874516i \(-0.338820\pi\)
−0.0172376 + 0.999851i \(0.505487\pi\)
\(294\) −45.2406 3.20954i −2.63849 0.187184i
\(295\) −3.30465 5.72382i −0.192404 0.333253i
\(296\) 11.9390 + 6.89296i 0.693938 + 0.400645i
\(297\) −3.63362 13.5609i −0.210844 0.786881i
\(298\) 13.0360i 0.755156i
\(299\) 0.119409 0.513239i 0.00690558 0.0296814i
\(300\) 23.8400i 1.37640i
\(301\) 1.22753 7.31268i 0.0707535 0.421496i
\(302\) 5.56897 9.64574i 0.320458 0.555050i
\(303\) 2.85375 1.64761i 0.163943 0.0946528i
\(304\) 7.24353 + 7.24353i 0.415445 + 0.415445i
\(305\) −6.93677 1.85870i −0.397198 0.106429i
\(306\) −6.71929 1.80043i −0.384116 0.102924i
\(307\) 17.3438 17.3438i 0.989863 0.989863i −0.0100865 0.999949i \(-0.503211\pi\)
0.999949 + 0.0100865i \(0.00321069\pi\)
\(308\) −2.78139 29.0398i −0.158484 1.65470i
\(309\) −11.4642 6.61887i −0.652177 0.376535i
\(310\) 24.1853 6.48042i 1.37363 0.368063i
\(311\) −23.7121 −1.34459 −0.672294 0.740284i \(-0.734691\pi\)
−0.672294 + 0.740284i \(0.734691\pi\)
\(312\) −29.9441 + 18.6406i −1.69525 + 1.05531i
\(313\) 14.0715i 0.795366i 0.917523 + 0.397683i \(0.130186\pi\)
−0.917523 + 0.397683i \(0.869814\pi\)
\(314\) −28.6140 + 7.66709i −1.61478 + 0.432679i
\(315\) −11.3006 15.8598i −0.636714 0.893597i
\(316\) 1.92383 1.11073i 0.108224 0.0624832i
\(317\) 11.8369 11.8369i 0.664828 0.664828i −0.291686 0.956514i \(-0.594216\pi\)
0.956514 + 0.291686i \(0.0942163\pi\)
\(318\) −12.2772 + 45.8190i −0.688470 + 2.56940i
\(319\) −2.42969 + 9.06771i −0.136036 + 0.507694i
\(320\) −13.6087 + 13.6087i −0.760748 + 0.760748i
\(321\) −36.5653 + 21.1110i −2.04088 + 1.17830i
\(322\) 0.526697 + 0.739192i 0.0293517 + 0.0411936i
\(323\) 4.88553 1.30907i 0.271838 0.0728388i
\(324\) 5.34068i 0.296705i
\(325\) 8.48903 2.57961i 0.470886 0.143091i
\(326\) 30.6400 1.69699
\(327\) 34.4034 9.21836i 1.90251 0.509777i
\(328\) −17.8058 10.2802i −0.983159 0.567627i
\(329\) −0.795298 8.30353i −0.0438462 0.457788i
\(330\) 22.9349 22.9349i 1.26252 1.26252i
\(331\) 9.34837 + 2.50489i 0.513833 + 0.137681i 0.506413 0.862291i \(-0.330971\pi\)
0.00742049 + 0.999972i \(0.497638\pi\)
\(332\) 5.16918 + 1.38508i 0.283696 + 0.0760160i
\(333\) 12.7046 + 12.7046i 0.696210 + 0.696210i
\(334\) 37.6766 21.7526i 2.06157 1.19025i
\(335\) −1.12820 + 1.95410i −0.0616401 + 0.106764i
\(336\) 1.57099 9.35879i 0.0857047 0.510564i
\(337\) 20.0838i 1.09403i 0.837122 + 0.547016i \(0.184236\pi\)
−0.837122 + 0.547016i \(0.815764\pi\)
\(338\) 22.9619 + 20.0977i 1.24896 + 1.09317i
\(339\) 4.25483i 0.231091i
\(340\) −0.928749 3.46614i −0.0503685 0.187978i
\(341\) 18.2117 + 10.5145i 0.986218 + 0.569393i
\(342\) 42.7368 + 74.0223i 2.31094 + 4.00267i
\(343\) −16.2625 8.86180i −0.878092 0.478492i
\(344\) 9.59434 + 2.57080i 0.517292 + 0.138608i
\(345\) −0.166378 + 0.620930i −0.00895748 + 0.0334298i
\(346\) 9.28440 9.28440i 0.499132 0.499132i
\(347\) 11.1008 + 19.2271i 0.595920 + 1.03216i 0.993416 + 0.114560i \(0.0365458\pi\)
−0.397496 + 0.917604i \(0.630121\pi\)
\(348\) −14.4753 + 25.0719i −0.775957 + 1.34400i
\(349\) 1.38593 + 5.17235i 0.0741869 + 0.276869i 0.993048 0.117713i \(-0.0375561\pi\)
−0.918861 + 0.394582i \(0.870889\pi\)
\(350\) −6.34444 + 13.9030i −0.339125 + 0.743145i
\(351\) −15.4170 + 4.68484i −0.822897 + 0.250058i
\(352\) −12.6856 −0.676146
\(353\) 25.2105 6.75514i 1.34182 0.359540i 0.484712 0.874674i \(-0.338925\pi\)
0.857110 + 0.515134i \(0.172258\pi\)
\(354\) 13.4367 23.2730i 0.714151 1.23695i
\(355\) −11.4078 19.7589i −0.605465 1.04870i
\(356\) 33.7113 + 33.7113i 1.78669 + 1.78669i
\(357\) −3.61394 2.98218i −0.191270 0.157834i
\(358\) 5.76594 21.5188i 0.304739 1.13730i
\(359\) −16.0116 16.0116i −0.845061 0.845061i 0.144451 0.989512i \(-0.453858\pi\)
−0.989512 + 0.144451i \(0.953858\pi\)
\(360\) 22.5915 13.0432i 1.19068 0.687438i
\(361\) −37.3664 21.5735i −1.96665 1.13545i
\(362\) 4.20116 + 15.6789i 0.220808 + 0.824066i
\(363\) −3.12177 −0.163850
\(364\) −33.2051 + 4.29712i −1.74042 + 0.225230i
\(365\) 11.2471 0.588702
\(366\) −7.55747 28.2049i −0.395035 1.47429i
\(367\) −12.2942 7.09806i −0.641752 0.370516i 0.143537 0.989645i \(-0.454152\pi\)
−0.785289 + 0.619129i \(0.787486\pi\)
\(368\) −0.164468 + 0.0949555i −0.00857347 + 0.00494990i
\(369\) −18.9477 18.9477i −0.986378 0.986378i
\(370\) −3.76571 + 14.0538i −0.195770 + 0.730624i
\(371\) −12.3284 + 14.9402i −0.640060 + 0.775655i
\(372\) 45.8573 + 45.8573i 2.37759 + 2.37759i
\(373\) −1.75321 3.03665i −0.0907778 0.157232i 0.817061 0.576551i \(-0.195602\pi\)
−0.907839 + 0.419320i \(0.862269\pi\)
\(374\) 2.36557 4.09728i 0.122321 0.211865i
\(375\) −31.6978 + 8.49340i −1.63687 + 0.438598i
\(376\) 11.1739 0.576252
\(377\) 10.4940 + 2.44150i 0.540469 + 0.125744i
\(378\) 11.5222 25.2493i 0.592637 1.29868i
\(379\) 6.94797 + 25.9302i 0.356893 + 1.33194i 0.878085 + 0.478504i \(0.158821\pi\)
−0.521192 + 0.853439i \(0.674513\pi\)
\(380\) −22.0457 + 38.1843i −1.13092 + 1.95882i
\(381\) 4.49154 + 7.77958i 0.230109 + 0.398560i
\(382\) 4.15784 4.15784i 0.212734 0.212734i
\(383\) −8.83941 + 32.9891i −0.451673 + 1.68567i 0.246017 + 0.969266i \(0.420878\pi\)
−0.697690 + 0.716400i \(0.745789\pi\)
\(384\) −54.0533 14.4835i −2.75839 0.739110i
\(385\) 12.4082 4.63209i 0.632382 0.236073i
\(386\) −26.4739 45.8542i −1.34749 2.33392i
\(387\) 11.2110 + 6.47267i 0.569887 + 0.329024i
\(388\) −0.170987 0.638132i −0.00868054 0.0323962i
\(389\) 27.4644i 1.39250i −0.717798 0.696251i \(-0.754850\pi\)
0.717798 0.696251i \(-0.245150\pi\)
\(390\) −27.1822 25.4342i −1.37643 1.28791i
\(391\) 0.0937676i 0.00474203i
\(392\) 13.8938 20.5535i 0.701741 1.03811i
\(393\) −22.7277 + 39.3656i −1.14646 + 1.98573i
\(394\) −36.4092 + 21.0208i −1.83427 + 1.05901i
\(395\) 0.713157 + 0.713157i 0.0358828 + 0.0358828i
\(396\) 49.1952 + 13.1818i 2.47215 + 0.662412i
\(397\) −35.8032 9.59343i −1.79691 0.481480i −0.803420 0.595412i \(-0.796989\pi\)
−0.993489 + 0.113932i \(0.963655\pi\)
\(398\) 27.2412 27.2412i 1.36548 1.36548i
\(399\) 5.48900 + 57.3094i 0.274794 + 2.86906i
\(400\) −2.76918 1.59879i −0.138459 0.0799393i
\(401\) −16.7841 + 4.49729i −0.838158 + 0.224584i −0.652269 0.757987i \(-0.726183\pi\)
−0.185888 + 0.982571i \(0.559516\pi\)
\(402\) −9.17449 −0.457582
\(403\) 11.3670 21.2910i 0.566232 1.06058i
\(404\) 4.19011i 0.208466i
\(405\) −2.34209 + 0.627561i −0.116379 + 0.0311838i
\(406\) −15.1140 + 10.7692i −0.750095 + 0.534465i
\(407\) −10.5826 + 6.10989i −0.524562 + 0.302856i
\(408\) 4.43815 4.43815i 0.219721 0.219721i
\(409\) −2.92033 + 10.8988i −0.144401 + 0.538913i 0.855380 + 0.518001i \(0.173324\pi\)
−0.999781 + 0.0209119i \(0.993343\pi\)
\(410\) 5.61618 20.9599i 0.277363 1.03513i
\(411\) −0.737650 + 0.737650i −0.0363856 + 0.0363856i
\(412\) 14.5776 8.41637i 0.718186 0.414645i
\(413\) 8.93702 6.36790i 0.439762 0.313344i
\(414\) −1.53060 + 0.410122i −0.0752247 + 0.0201564i
\(415\) 2.42963i 0.119266i
\(416\) 0.483418 + 14.5515i 0.0237015 + 0.713444i
\(417\) 27.1598 1.33002
\(418\) −56.1515 + 15.0458i −2.74646 + 0.735912i
\(419\) −16.1248 9.30964i −0.787747 0.454806i 0.0514220 0.998677i \(-0.483625\pi\)
−0.839169 + 0.543871i \(0.816958\pi\)
\(420\) 40.6594 3.89429i 1.98397 0.190022i
\(421\) 18.9024 18.9024i 0.921247 0.921247i −0.0758709 0.997118i \(-0.524174\pi\)
0.997118 + 0.0758709i \(0.0241737\pi\)
\(422\) −22.3639 5.99238i −1.08866 0.291704i
\(423\) 14.0667 + 3.76916i 0.683945 + 0.183263i
\(424\) −18.3475 18.3475i −0.891032 0.891032i
\(425\) −1.36727 + 0.789392i −0.0663222 + 0.0382911i
\(426\) 46.3841 80.3397i 2.24732 3.89247i
\(427\) 1.97392 11.7591i 0.0955245 0.569063i
\(428\) 53.6883i 2.59512i
\(429\) −1.03809 31.2478i −0.0501196 1.50866i
\(430\) 10.4830i 0.505536i
\(431\) −7.64079 28.5158i −0.368044 1.37356i −0.863247 0.504782i \(-0.831573\pi\)
0.495203 0.868777i \(-0.335094\pi\)
\(432\) 5.02912 + 2.90356i 0.241964 + 0.139698i
\(433\) −17.9660 31.1180i −0.863390 1.49543i −0.868637 0.495449i \(-0.835004\pi\)
0.00524758 0.999986i \(-0.498330\pi\)
\(434\) 14.5392 + 38.9468i 0.697902 + 1.86951i
\(435\) −12.6959 3.40186i −0.608723 0.163107i
\(436\) −11.7218 + 43.7464i −0.561373 + 2.09507i
\(437\) 0.814686 0.814686i 0.0389717 0.0389717i
\(438\) 22.8654 + 39.6040i 1.09255 + 1.89235i
\(439\) 4.87991 8.45226i 0.232906 0.403404i −0.725756 0.687952i \(-0.758510\pi\)
0.958662 + 0.284548i \(0.0918434\pi\)
\(440\) 4.59195 + 17.1374i 0.218912 + 0.816992i
\(441\) 24.4237 21.1878i 1.16303 1.00894i
\(442\) −4.79007 2.55737i −0.227840 0.121641i
\(443\) 38.7798 1.84248 0.921241 0.388992i \(-0.127176\pi\)
0.921241 + 0.388992i \(0.127176\pi\)
\(444\) −36.4008 + 9.75356i −1.72751 + 0.462884i
\(445\) −10.8224 + 18.7449i −0.513030 + 0.888595i
\(446\) −10.2299 17.7187i −0.484399 0.839004i
\(447\) −10.8395 10.8395i −0.512690 0.512690i
\(448\) −24.6462 20.3377i −1.16443 0.960868i
\(449\) −2.42216 + 9.03963i −0.114309 + 0.426606i −0.999234 0.0391263i \(-0.987543\pi\)
0.884925 + 0.465733i \(0.154209\pi\)
\(450\) −18.8657 18.8657i −0.889336 0.889336i
\(451\) 15.7830 9.11229i 0.743190 0.429081i
\(452\) 4.68548 + 2.70516i 0.220386 + 0.127240i
\(453\) 3.38985 + 12.6511i 0.159269 + 0.594400i
\(454\) 39.6534 1.86103
\(455\) −5.78624 14.0568i −0.271263 0.658991i
\(456\) −77.1204 −3.61150
\(457\) 4.97477 + 18.5661i 0.232710 + 0.868485i 0.979168 + 0.203053i \(0.0650863\pi\)
−0.746458 + 0.665433i \(0.768247\pi\)
\(458\) 4.97089 + 2.86995i 0.232275 + 0.134104i
\(459\) 2.48310 1.43362i 0.115901 0.0669156i
\(460\) −0.577996 0.577996i −0.0269492 0.0269492i
\(461\) −3.50466 + 13.0796i −0.163228 + 0.609175i 0.835031 + 0.550202i \(0.185449\pi\)
−0.998260 + 0.0589733i \(0.981217\pi\)
\(462\) 41.5367 + 34.2755i 1.93246 + 1.59464i
\(463\) −14.6336 14.6336i −0.680081 0.680081i 0.279937 0.960018i \(-0.409686\pi\)
−0.960018 + 0.279937i \(0.909686\pi\)
\(464\) −1.94152 3.36281i −0.0901328 0.156115i
\(465\) −14.7216 + 25.4986i −0.682700 + 1.18247i
\(466\) 12.1865 3.26536i 0.564529 0.151265i
\(467\) 30.9732 1.43327 0.716634 0.697449i \(-0.245682\pi\)
0.716634 + 0.697449i \(0.245682\pi\)
\(468\) 13.2459 56.9334i 0.612294 2.63175i
\(469\) −3.40826 1.55532i −0.157379 0.0718179i
\(470\) 3.05223 + 11.3911i 0.140789 + 0.525431i
\(471\) 17.4174 30.1678i 0.802552 1.39006i
\(472\) 7.34989 + 12.7304i 0.338306 + 0.585963i
\(473\) −6.22564 + 6.22564i −0.286255 + 0.286255i
\(474\) −1.06136 + 3.96105i −0.0487499 + 0.181937i
\(475\) 18.7378 + 5.02078i 0.859750 + 0.230369i
\(476\) 5.58171 2.08370i 0.255837 0.0955061i
\(477\) −16.9084 29.2862i −0.774183 1.34092i
\(478\) 34.3753 + 19.8466i 1.57229 + 0.907761i
\(479\) 1.90105 + 7.09483i 0.0868613 + 0.324171i 0.995660 0.0930636i \(-0.0296660\pi\)
−0.908799 + 0.417235i \(0.862999\pi\)
\(480\) 17.7614i 0.810696i
\(481\) 7.41183 + 11.9063i 0.337951 + 0.542882i
\(482\) 31.5654i 1.43777i
\(483\) −1.05259 0.176691i −0.0478946 0.00803972i
\(484\) 1.98478 3.43773i 0.0902171 0.156261i
\(485\) 0.259753 0.149968i 0.0117948 0.00680971i
\(486\) −29.2240 29.2240i −1.32563 1.32563i
\(487\) 9.52611 + 2.55251i 0.431669 + 0.115665i 0.468110 0.883670i \(-0.344935\pi\)
−0.0364405 + 0.999336i \(0.511602\pi\)
\(488\) 15.4281 + 4.13395i 0.698398 + 0.187135i
\(489\) −25.4773 + 25.4773i −1.15212 + 1.15212i
\(490\) 24.7480 + 8.54946i 1.11800 + 0.386225i
\(491\) 33.1372 + 19.1318i 1.49546 + 0.863404i 0.999986 0.00521946i \(-0.00166141\pi\)
0.495473 + 0.868623i \(0.334995\pi\)
\(492\) 54.2881 14.5465i 2.44750 0.655805i
\(493\) −1.91723 −0.0863477
\(494\) 19.3985 + 63.8371i 0.872781 + 2.87217i
\(495\) 23.1229i 1.03930i
\(496\) −8.40197 + 2.25130i −0.377260 + 0.101086i
\(497\) 30.8511 21.9823i 1.38386 0.986042i
\(498\) −8.55536 + 4.93944i −0.383375 + 0.221342i
\(499\) 0.00102712 0.00102712i 4.59801e−5 4.59801e-5i −0.707084 0.707130i \(-0.749990\pi\)
0.707130 + 0.707084i \(0.249990\pi\)
\(500\) 10.8000 40.3060i 0.482989 1.80254i
\(501\) −13.2409 + 49.4157i −0.591559 + 2.20773i
\(502\) −21.2537 + 21.2537i −0.948598 + 0.948598i
\(503\) 21.6205 12.4826i 0.964012 0.556573i 0.0666068 0.997779i \(-0.478783\pi\)
0.897406 + 0.441206i \(0.145449\pi\)
\(504\) 25.1337 + 35.2738i 1.11954 + 1.57122i
\(505\) −1.83752 + 0.492362i −0.0817686 + 0.0219098i
\(506\) 1.07771i 0.0479102i
\(507\) −35.8043 + 2.38156i −1.59012 + 0.105769i
\(508\) −11.4226 −0.506798
\(509\) −2.53176 + 0.678383i −0.112218 + 0.0300688i −0.314491 0.949260i \(-0.601834\pi\)
0.202273 + 0.979329i \(0.435167\pi\)
\(510\) 5.73671 + 3.31209i 0.254026 + 0.146662i
\(511\) 1.78042 + 18.5889i 0.0787610 + 0.822325i
\(512\) 10.2233 10.2233i 0.451811 0.451811i
\(513\) −34.0299 9.11827i −1.50245 0.402582i
\(514\) 23.5365 + 6.30659i 1.03815 + 0.278172i
\(515\) 5.40385 + 5.40385i 0.238122 + 0.238122i
\(516\) −23.5144 + 13.5760i −1.03516 + 0.597651i
\(517\) −4.95226 + 8.57757i −0.217800 + 0.377241i
\(518\) −23.8238 3.99914i −1.04676 0.175712i
\(519\) 15.4400i 0.677742i
\(520\) 19.4830 5.92041i 0.854387 0.259627i
\(521\) 29.8603i 1.30820i −0.756406 0.654102i \(-0.773047\pi\)
0.756406 0.654102i \(-0.226953\pi\)
\(522\) −8.38561 31.2955i −0.367028 1.36977i
\(523\) −13.9268 8.04062i −0.608975 0.351592i 0.163589 0.986529i \(-0.447693\pi\)
−0.772564 + 0.634937i \(0.781026\pi\)
\(524\) −28.8999 50.0561i −1.26250 2.18671i
\(525\) −6.28494 16.8358i −0.274297 0.734775i
\(526\) −9.92985 2.66069i −0.432962 0.116012i
\(527\) −1.11157 + 4.14843i −0.0484207 + 0.180708i
\(528\) −7.96760 + 7.96760i −0.346745 + 0.346745i
\(529\) −11.4893 19.9001i −0.499536 0.865221i
\(530\) 13.6923 23.7157i 0.594755 1.03015i
\(531\) 4.95848 + 18.5053i 0.215180 + 0.803062i
\(532\) −66.5997 30.3920i −2.88746 1.31766i
\(533\) −11.0540 17.7571i −0.478802 0.769146i
\(534\) −88.0075 −3.80846
\(535\) 23.5443 6.30868i 1.01791 0.272748i
\(536\) 2.50923 4.34612i 0.108382 0.187724i
\(537\) 13.0985 + 22.6873i 0.565244 + 0.979031i
\(538\) −19.3942 19.3942i −0.836143 0.836143i
\(539\) 9.62000 + 19.7747i 0.414363 + 0.851756i
\(540\) −6.46915 + 24.1432i −0.278388 + 1.03896i
\(541\) 12.4465 + 12.4465i 0.535115 + 0.535115i 0.922090 0.386975i \(-0.126480\pi\)
−0.386975 + 0.922090i \(0.626480\pi\)
\(542\) −62.3933 + 36.0228i −2.68002 + 1.54731i
\(543\) −16.5304 9.54381i −0.709386 0.409564i
\(544\) −0.670546 2.50251i −0.0287494 0.107294i
\(545\) −20.5618 −0.880771
\(546\) 37.7340 48.9522i 1.61487 2.09496i
\(547\) −15.8734 −0.678698 −0.339349 0.940661i \(-0.610207\pi\)
−0.339349 + 0.940661i \(0.610207\pi\)
\(548\) −0.343322 1.28130i −0.0146660 0.0547343i
\(549\) 18.0277 + 10.4083i 0.769405 + 0.444216i
\(550\) 15.7146 9.07284i 0.670073 0.386867i
\(551\) 16.6576 + 16.6576i 0.709636 + 0.709636i
\(552\) 0.370042 1.38101i 0.0157500 0.0587799i
\(553\) −1.06579 + 1.29158i −0.0453221 + 0.0549234i
\(554\) 31.6444 + 31.6444i 1.34444 + 1.34444i
\(555\) −8.55461 14.8170i −0.363123 0.628947i
\(556\) −17.2678 + 29.9087i −0.732318 + 1.26841i
\(557\) −2.44666 + 0.655582i −0.103668 + 0.0277779i −0.310280 0.950645i \(-0.600423\pi\)
0.206612 + 0.978423i \(0.433756\pi\)
\(558\) −72.5779 −3.07247
\(559\) 7.37857 + 6.90409i 0.312080 + 0.292012i
\(560\) −2.27440 + 4.98403i −0.0961109 + 0.210614i
\(561\) 1.43993 + 5.37389i 0.0607938 + 0.226886i
\(562\) 19.6970 34.1162i 0.830867 1.43910i
\(563\) −10.1159 17.5213i −0.426336 0.738436i 0.570208 0.821500i \(-0.306863\pi\)
−0.996544 + 0.0830642i \(0.973529\pi\)
\(564\) −21.5984 + 21.5984i −0.909458 + 0.909458i
\(565\) −0.635745 + 2.37263i −0.0267460 + 0.0998174i
\(566\) 19.1301 + 5.12589i 0.804098 + 0.215457i
\(567\) −1.40797 3.77159i −0.0591290 0.158392i
\(568\) 25.3722 + 43.9460i 1.06459 + 1.84393i
\(569\) −12.8801 7.43632i −0.539961 0.311747i 0.205102 0.978741i \(-0.434247\pi\)
−0.745063 + 0.666994i \(0.767581\pi\)
\(570\) −21.0659 78.6191i −0.882355 3.29299i
\(571\) 36.9235i 1.54520i 0.634893 + 0.772600i \(0.281044\pi\)
−0.634893 + 0.772600i \(0.718956\pi\)
\(572\) 35.0705 + 18.7237i 1.46637 + 0.782879i
\(573\) 6.91453i 0.288859i
\(574\) 35.5309 + 5.96431i 1.48303 + 0.248946i
\(575\) −0.179817 + 0.311452i −0.00749888 + 0.0129884i
\(576\) 48.3124 27.8932i 2.01302 1.16222i
\(577\) 14.5105 + 14.5105i 0.604080 + 0.604080i 0.941393 0.337312i \(-0.109518\pi\)
−0.337312 + 0.941393i \(0.609518\pi\)
\(578\) −37.6113 10.0779i −1.56442 0.419186i
\(579\) 60.1411 + 16.1148i 2.49938 + 0.669706i
\(580\) 11.8181 11.8181i 0.490718 0.490718i
\(581\) −4.01563 + 0.384610i −0.166596 + 0.0159563i
\(582\) 1.05615 + 0.609771i 0.0437790 + 0.0252758i
\(583\) 22.2158 5.95271i 0.920086 0.246536i
\(584\) −25.0148 −1.03512
\(585\) 26.5239 0.881158i 1.09663 0.0364314i
\(586\) 19.4573i 0.803776i
\(587\) −19.8321 + 5.31399i −0.818557 + 0.219332i −0.643715 0.765265i \(-0.722608\pi\)
−0.174842 + 0.984597i \(0.555941\pi\)
\(588\) 12.8727 + 66.5841i 0.530862 + 2.74588i
\(589\) 45.7007 26.3853i 1.88307 1.08719i
\(590\) −10.9701 + 10.9701i −0.451632 + 0.451632i
\(591\) 12.7955 47.7533i 0.526335 1.96431i
\(592\) 1.30821 4.88231i 0.0537671 0.200662i
\(593\) 29.4133 29.4133i 1.20786 1.20786i 0.236140 0.971719i \(-0.424118\pi\)
0.971719 0.236140i \(-0.0758823\pi\)
\(594\) −28.5394 + 16.4772i −1.17099 + 0.676069i
\(595\) 1.56966 + 2.20294i 0.0643499 + 0.0903118i
\(596\) 18.8282 5.04500i 0.771233 0.206651i
\(597\) 45.3023i 1.85410i
\(598\) −1.23623 + 0.0410690i −0.0505530 + 0.00167944i
\(599\) −4.33998 −0.177327 −0.0886634 0.996062i \(-0.528260\pi\)
−0.0886634 + 0.996062i \(0.528260\pi\)
\(600\) 23.2524 6.23047i 0.949277 0.254358i
\(601\) 5.72067 + 3.30283i 0.233351 + 0.134725i 0.612117 0.790767i \(-0.290318\pi\)
−0.378766 + 0.925492i \(0.623652\pi\)
\(602\) −17.3260 + 1.65946i −0.706156 + 0.0676344i
\(603\) 4.62485 4.62485i 0.188339 0.188339i
\(604\) −16.0868 4.31044i −0.654561 0.175389i
\(605\) 1.74080 + 0.466446i 0.0707735 + 0.0189637i
\(606\) −5.46941 5.46941i −0.222179 0.222179i
\(607\) −39.8777 + 23.0234i −1.61859 + 0.934492i −0.631301 + 0.775538i \(0.717479\pi\)
−0.987286 + 0.158954i \(0.949188\pi\)
\(608\) −15.9168 + 27.5686i −0.645510 + 1.11806i
\(609\) 3.61273 21.5219i 0.146395 0.872113i
\(610\) 16.8571i 0.682526i
\(611\) 10.0279 + 5.35379i 0.405686 + 0.216591i
\(612\) 10.4016i 0.420459i
\(613\) 7.42773 + 27.7207i 0.300003 + 1.11963i 0.937162 + 0.348895i \(0.113443\pi\)
−0.637159 + 0.770733i \(0.719890\pi\)
\(614\) −49.8609 28.7872i −2.01222 1.16176i
\(615\) 12.7583 + 22.0981i 0.514466 + 0.891081i
\(616\) −27.5972 + 10.3023i −1.11192 + 0.415090i
\(617\) 0.0947548 + 0.0253895i 0.00381469 + 0.00102214i 0.260726 0.965413i \(-0.416038\pi\)
−0.256911 + 0.966435i \(0.582705\pi\)
\(618\) −8.04231 + 30.0143i −0.323509 + 1.20735i
\(619\) −29.9073 + 29.9073i −1.20208 + 1.20208i −0.228543 + 0.973534i \(0.573396\pi\)
−0.973534 + 0.228543i \(0.926604\pi\)
\(620\) −18.7196 32.4233i −0.751798 1.30215i
\(621\) 0.326566 0.565629i 0.0131047 0.0226979i
\(622\) 14.4058 + 53.7630i 0.577619 + 2.15570i
\(623\) −32.6942 14.9196i −1.30987 0.597741i
\(624\) 9.44312 + 8.83587i 0.378027 + 0.353718i
\(625\) 6.64109 0.265644
\(626\) 31.9046 8.54882i 1.27517 0.341680i
\(627\) 34.1796 59.2008i 1.36500 2.36425i
\(628\) 22.1475 + 38.3606i 0.883781 + 1.53075i
\(629\) −1.76469 1.76469i −0.0703629 0.0703629i
\(630\) −29.0939 + 35.2573i −1.15913 + 1.40469i
\(631\) 2.02584 7.56053i 0.0806473 0.300980i −0.913807 0.406148i \(-0.866872\pi\)
0.994454 + 0.105169i \(0.0335383\pi\)
\(632\) −1.58614 1.58614i −0.0630931 0.0630931i
\(633\) 23.5783 13.6130i 0.937154 0.541066i
\(634\) −34.0295 19.6469i −1.35148 0.780279i
\(635\) −1.34223 5.00926i −0.0532646 0.198786i
\(636\) 70.9288 2.81251
\(637\) 22.3166 11.7885i 0.884216 0.467077i
\(638\) 22.0356 0.872397
\(639\) 17.1170 + 63.8813i 0.677136 + 2.52711i
\(640\) 27.9777 + 16.1530i 1.10592 + 0.638502i
\(641\) −28.9275 + 16.7013i −1.14257 + 0.659661i −0.947065 0.321042i \(-0.895967\pi\)
−0.195502 + 0.980703i \(0.562634\pi\)
\(642\) 70.0800 + 70.0800i 2.76584 + 2.76584i
\(643\) −4.94009 + 18.4367i −0.194818 + 0.727071i 0.797496 + 0.603324i \(0.206158\pi\)
−0.992314 + 0.123746i \(0.960509\pi\)
\(644\) 0.863797 1.04679i 0.0340384 0.0412493i
\(645\) −8.71667 8.71667i −0.343219 0.343219i
\(646\) −5.93619 10.2818i −0.233556 0.404532i
\(647\) 16.4522 28.4961i 0.646804 1.12030i −0.337078 0.941477i \(-0.609439\pi\)
0.983882 0.178821i \(-0.0572282\pi\)
\(648\) 5.20906 1.39576i 0.204631 0.0548308i
\(649\) −13.0298 −0.511465
\(650\) −11.0061 17.6802i −0.431696 0.693475i
\(651\) −44.4738 20.2951i −1.74307 0.795426i
\(652\) −11.8578 44.2541i −0.464389 1.73312i
\(653\) −13.9982 + 24.2457i −0.547793 + 0.948806i 0.450632 + 0.892710i \(0.351199\pi\)
−0.998425 + 0.0560961i \(0.982135\pi\)
\(654\) −41.8021 72.4034i −1.63459 2.83120i
\(655\) 18.5556 18.5556i 0.725027 0.725027i
\(656\) −1.95106 + 7.28147i −0.0761763 + 0.284294i
\(657\) −31.4907 8.43792i −1.22857 0.329195i
\(658\) −18.3437 + 6.84783i −0.715110 + 0.266956i
\(659\) −5.35203 9.27000i −0.208486 0.361108i 0.742752 0.669567i \(-0.233520\pi\)
−0.951238 + 0.308459i \(0.900187\pi\)
\(660\) −42.0013 24.2494i −1.63490 0.943908i
\(661\) 6.21818 + 23.2066i 0.241859 + 0.902631i 0.974936 + 0.222485i \(0.0714169\pi\)
−0.733077 + 0.680146i \(0.761916\pi\)
\(662\) 22.7176i 0.882945i
\(663\) 6.10942 1.85650i 0.237270 0.0721006i
\(664\) 5.40377i 0.209707i
\(665\) 5.50216 32.7777i 0.213365 1.27107i
\(666\) 21.0872 36.5240i 0.817111 1.41528i
\(667\) −0.378218 + 0.218364i −0.0146447 + 0.00845510i
\(668\) −45.9988 45.9988i −1.77975 1.77975i
\(669\) 23.2394 + 6.22697i 0.898486 + 0.240748i
\(670\) 5.11599 + 1.37083i 0.197648 + 0.0529596i
\(671\) −10.0111 + 10.0111i −0.386474 + 0.386474i
\(672\) 29.3556 2.81163i 1.13242 0.108461i
\(673\) 4.79792 + 2.77008i 0.184946 + 0.106779i 0.589615 0.807685i \(-0.299280\pi\)
−0.404668 + 0.914464i \(0.632613\pi\)
\(674\) 45.5365 12.2015i 1.75400 0.469983i
\(675\) 10.9969 0.423272
\(676\) 20.1412 40.9423i 0.774663 1.57470i
\(677\) 44.0680i 1.69367i −0.531855 0.846835i \(-0.678505\pi\)
0.531855 0.846835i \(-0.321495\pi\)
\(678\) −9.64710 + 2.58493i −0.370495 + 0.0992738i
\(679\) 0.288982 + 0.405572i 0.0110901 + 0.0155644i
\(680\) −3.13799 + 1.81172i −0.120336 + 0.0694763i
\(681\) −32.9720 + 32.9720i −1.26349 + 1.26349i
\(682\) 12.7758 47.6798i 0.489209 1.82575i
\(683\) 1.33328 4.97587i 0.0510166 0.190396i −0.935715 0.352757i \(-0.885244\pi\)
0.986731 + 0.162361i \(0.0519108\pi\)
\(684\) 90.3727 90.3727i 3.45548 3.45548i
\(685\) 0.521554 0.301120i 0.0199276 0.0115052i
\(686\) −10.2127 + 42.2562i −0.389922 + 1.61335i
\(687\) −6.51969 + 1.74695i −0.248742 + 0.0666501i
\(688\) 3.64181i 0.138843i
\(689\) −7.67485 25.2566i −0.292388 0.962198i
\(690\) 1.50893 0.0574440
\(691\) 2.95186 0.790947i 0.112294 0.0300891i −0.202234 0.979337i \(-0.564820\pi\)
0.314528 + 0.949248i \(0.398154\pi\)
\(692\) −17.0028 9.81655i −0.646348 0.373169i
\(693\) −38.2168 + 3.66035i −1.45174 + 0.139045i
\(694\) 36.8501 36.8501i 1.39881 1.39881i
\(695\) −15.1452 4.05813i −0.574489 0.153934i
\(696\) 28.2371 + 7.56611i 1.07032 + 0.286793i
\(697\) 2.63186 + 2.63186i 0.0996888 + 0.0996888i
\(698\) 10.8854 6.28470i 0.412019 0.237879i
\(699\) −7.41796 + 12.8483i −0.280573 + 0.485967i
\(700\) 22.5357 + 3.78290i 0.851769 + 0.142980i
\(701\) 11.0158i 0.416061i −0.978122 0.208031i \(-0.933295\pi\)
0.978122 0.208031i \(-0.0667054\pi\)
\(702\) 19.9883 + 32.1092i 0.754410 + 1.21188i
\(703\) 30.6645i 1.15653i
\(704\) 9.81997 + 36.6486i 0.370104 + 1.38125i
\(705\) −12.0097 6.93378i −0.452310 0.261141i
\(706\) −30.6322 53.0566i −1.15286 1.99681i
\(707\) −1.10464 2.95906i −0.0415443 0.111287i
\(708\) −38.8138 10.4001i −1.45871 0.390860i
\(709\) 7.29113 27.2109i 0.273824 1.02192i −0.682801 0.730604i \(-0.739239\pi\)
0.956625 0.291321i \(-0.0940948\pi\)
\(710\) −37.8694 + 37.8694i −1.42121 + 1.42121i
\(711\) −1.46173 2.53179i −0.0548192 0.0949496i
\(712\) 24.0702 41.6907i 0.902067 1.56243i
\(713\) 0.253206 + 0.944977i 0.00948263 + 0.0353897i
\(714\) −4.56600 + 10.0058i −0.170878 + 0.374456i
\(715\) −4.09008 + 17.5799i −0.152960 + 0.657450i
\(716\) −33.3115 −1.24491
\(717\) −45.0857 + 12.0807i −1.68376 + 0.451161i
\(718\) −26.5761 + 46.0311i −0.991811 + 1.71787i
\(719\) 21.0559 + 36.4699i 0.785252 + 1.36010i 0.928848 + 0.370460i \(0.120800\pi\)
−0.143596 + 0.989636i \(0.545867\pi\)
\(720\) −6.76309 6.76309i −0.252045 0.252045i
\(721\) −8.07589 + 9.78674i −0.300762 + 0.364477i
\(722\) −26.2130 + 97.8284i −0.975548 + 3.64079i
\(723\) −26.2468 26.2468i −0.976129 0.976129i
\(724\) 21.0195 12.1356i 0.781185 0.451018i
\(725\) −6.36814 3.67665i −0.236507 0.136547i
\(726\) 1.89657 + 7.07808i 0.0703881 + 0.262692i
\(727\) 10.0901 0.374223 0.187111 0.982339i \(-0.440087\pi\)
0.187111 + 0.982339i \(0.440087\pi\)
\(728\) 12.8692 + 31.2637i 0.476965 + 1.15871i
\(729\) 44.0349 1.63092
\(730\) −6.83295 25.5009i −0.252899 0.943832i
\(731\) −1.55722 0.899062i −0.0575959 0.0332530i
\(732\) −37.8121 + 21.8308i −1.39758 + 0.806891i
\(733\) −18.7908 18.7908i −0.694053 0.694053i 0.269068 0.963121i \(-0.413284\pi\)
−0.963121 + 0.269068i \(0.913284\pi\)
\(734\) −8.62455 + 32.1873i −0.318338 + 1.18805i
\(735\) −27.6870 + 13.4692i −1.02125 + 0.496819i
\(736\) −0.417306 0.417306i −0.0153821 0.0153821i
\(737\) 2.22417 + 3.85238i 0.0819285 + 0.141904i
\(738\) −31.4494 + 54.4719i −1.15767 + 2.00514i
\(739\) −24.3011 + 6.51146i −0.893930 + 0.239528i −0.676407 0.736528i \(-0.736464\pi\)
−0.217522 + 0.976055i \(0.569797\pi\)
\(740\) 21.7556 0.799751
\(741\) −69.2108 36.9509i −2.54252 1.35742i
\(742\) 41.3641 + 18.8760i 1.51852 + 0.692960i
\(743\) −2.81817 10.5175i −0.103388 0.385851i 0.894769 0.446530i \(-0.147340\pi\)
−0.998157 + 0.0606785i \(0.980674\pi\)
\(744\) 32.7425 56.7117i 1.20040 2.07915i
\(745\) 4.42484 + 7.66405i 0.162114 + 0.280789i
\(746\) −5.81996 + 5.81996i −0.213084 + 0.213084i
\(747\) 1.82278 6.80271i 0.0666921 0.248898i
\(748\) −6.83328 1.83097i −0.249850 0.0669470i
\(749\) 14.1539 + 37.9147i 0.517171 + 1.38537i
\(750\) 38.5147 + 66.7094i 1.40636 + 2.43588i
\(751\) −27.9154 16.1170i −1.01865 0.588117i −0.104936 0.994479i \(-0.533464\pi\)
−0.913712 + 0.406362i \(0.866797\pi\)
\(752\) −1.06035 3.95727i −0.0386669 0.144307i
\(753\) 35.3450i 1.28804i
\(754\) −0.839723 25.2766i −0.0305809 0.920521i
\(755\) 7.56115i 0.275179i
\(756\) −40.9272 6.87015i −1.48851 0.249865i
\(757\) −16.9609 + 29.3771i −0.616453 + 1.06773i 0.373675 + 0.927560i \(0.378098\pi\)
−0.990128 + 0.140168i \(0.955236\pi\)
\(758\) 54.5711 31.5066i 1.98211 1.14437i
\(759\) 0.896122 + 0.896122i 0.0325272 + 0.0325272i
\(760\) 43.0048 + 11.5231i 1.55995 + 0.417987i
\(761\) 9.36045 + 2.50812i 0.339316 + 0.0909194i 0.424453 0.905450i \(-0.360466\pi\)
−0.0851375 + 0.996369i \(0.527133\pi\)
\(762\) 14.9101 14.9101i 0.540137 0.540137i
\(763\) −3.25493 33.9839i −0.117836 1.23030i
\(764\) −7.61437 4.39616i −0.275478 0.159047i
\(765\) −4.56149 + 1.22225i −0.164921 + 0.0441904i
\(766\) 80.1674 2.89656
\(767\) 0.496535 + 14.9463i 0.0179288 + 0.539679i
\(768\) 64.6816i 2.33400i
\(769\) −14.6001 + 3.91210i −0.526495 + 0.141074i −0.512269 0.858825i \(-0.671195\pi\)
−0.0142256 + 0.999899i \(0.504528\pi\)
\(770\) −18.0408 25.3194i −0.650146 0.912448i
\(771\) −24.8147 + 14.3268i −0.893678 + 0.515965i
\(772\) −55.9826 + 55.9826i −2.01486 + 2.01486i
\(773\) 10.1225 37.7776i 0.364081 1.35877i −0.504582 0.863364i \(-0.668353\pi\)
0.868663 0.495404i \(-0.164980\pi\)
\(774\) 7.86466 29.3513i 0.282689