Properties

Label 300.2.n.a.11.15
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00488 + 0.995099i) q^{2} +(-0.799639 - 1.53642i) q^{3} +(0.0195579 - 1.99990i) q^{4} +(-0.411823 - 2.19782i) q^{5} +(2.33243 + 0.748191i) q^{6} -3.34784i q^{7} +(1.97045 + 2.02912i) q^{8} +(-1.72115 + 2.45716i) q^{9} +O(q^{10})\) \(q+(-1.00488 + 0.995099i) q^{2} +(-0.799639 - 1.53642i) q^{3} +(0.0195579 - 1.99990i) q^{4} +(-0.411823 - 2.19782i) q^{5} +(2.33243 + 0.748191i) q^{6} -3.34784i q^{7} +(1.97045 + 2.02912i) q^{8} +(-1.72115 + 2.45716i) q^{9} +(2.60088 + 1.79873i) q^{10} +(-5.09925 + 3.70482i) q^{11} +(-3.08833 + 1.56915i) q^{12} +(1.13075 + 0.821541i) q^{13} +(3.33143 + 3.36416i) q^{14} +(-3.04745 + 2.39019i) q^{15} +(-3.99923 - 0.0782277i) q^{16} +(-3.45194 + 1.12160i) q^{17} +(-0.715566 - 4.18186i) q^{18} +(1.47558 - 0.479446i) q^{19} +(-4.40348 + 0.780622i) q^{20} +(-5.14367 + 2.67706i) q^{21} +(1.43746 - 8.79715i) q^{22} +(5.31849 - 3.86411i) q^{23} +(1.54193 - 4.65000i) q^{24} +(-4.66080 + 1.81022i) q^{25} +(-1.95378 + 0.299664i) q^{26} +(5.15152 + 0.679569i) q^{27} +(-6.69535 - 0.0654765i) q^{28} +(-2.46654 - 0.801428i) q^{29} +(0.683841 - 5.43437i) q^{30} +(-3.51579 + 1.14235i) q^{31} +(4.09659 - 3.90102i) q^{32} +(9.76971 + 4.87205i) q^{33} +(2.35267 - 4.56210i) q^{34} +(-7.35793 + 1.37871i) q^{35} +(4.88042 + 3.49020i) q^{36} +(-4.63882 - 3.37030i) q^{37} +(-1.00568 + 1.95014i) q^{38} +(0.358034 - 2.39425i) q^{39} +(3.64816 - 5.16632i) q^{40} +(0.595517 - 0.819659i) q^{41} +(2.50482 - 7.80858i) q^{42} -2.65658i q^{43} +(7.30956 + 10.2705i) q^{44} +(6.10920 + 2.77087i) q^{45} +(-1.49926 + 9.17538i) q^{46} +(1.36431 - 4.19891i) q^{47} +(3.07776 + 6.20705i) q^{48} -4.20800 q^{49} +(2.88219 - 6.45701i) q^{50} +(4.48356 + 4.40675i) q^{51} +(1.66512 - 2.24533i) q^{52} +(-8.76207 - 2.84697i) q^{53} +(-5.85289 + 4.44339i) q^{54} +(10.2425 + 9.68149i) q^{55} +(6.79316 - 6.59674i) q^{56} +(-1.91656 - 1.88373i) q^{57} +(3.27607 - 1.64911i) q^{58} +(-5.57763 - 4.05239i) q^{59} +(4.72056 + 6.14136i) q^{60} +(1.88476 - 1.36935i) q^{61} +(2.39619 - 4.64648i) q^{62} +(8.22616 + 5.76214i) q^{63} +(-0.234664 + 7.99656i) q^{64} +(1.33993 - 2.82352i) q^{65} +(-14.6655 + 4.82601i) q^{66} +(-11.2107 + 3.64258i) q^{67} +(2.17559 + 6.92549i) q^{68} +(-10.1898 - 5.08152i) q^{69} +(6.02186 - 8.70731i) q^{70} +(1.51056 - 4.64904i) q^{71} +(-8.37732 + 1.34928i) q^{72} +(6.90929 - 5.01989i) q^{73} +(8.01523 - 1.22934i) q^{74} +(6.50822 + 5.71341i) q^{75} +(-0.929987 - 2.96040i) q^{76} +(12.4031 + 17.0714i) q^{77} +(2.02273 + 2.76220i) q^{78} +(11.2954 + 3.67009i) q^{79} +(1.47505 + 8.82180i) q^{80} +(-3.07526 - 8.45830i) q^{81} +(0.217220 + 1.41626i) q^{82} +(-1.69102 - 5.20442i) q^{83} +(5.25327 + 10.3392i) q^{84} +(3.88667 + 7.12484i) q^{85} +(2.64356 + 2.66953i) q^{86} +(0.741016 + 4.43049i) q^{87} +(-17.5653 - 3.04683i) q^{88} +(5.68017 + 7.81809i) q^{89} +(-8.89628 + 3.29487i) q^{90} +(2.75038 - 3.78558i) q^{91} +(-7.62383 - 10.7120i) q^{92} +(4.56649 + 4.48826i) q^{93} +(2.80737 + 5.57702i) q^{94} +(-1.66141 - 3.04562i) q^{95} +(-9.26939 - 3.17465i) q^{96} +(-2.29478 + 7.06261i) q^{97} +(4.22852 - 4.18737i) q^{98} +(-0.326741 - 18.9062i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00488 + 0.995099i −0.710556 + 0.703641i
\(3\) −0.799639 1.53642i −0.461672 0.887051i
\(4\) 0.0195579 1.99990i 0.00977893 0.999952i
\(5\) −0.411823 2.19782i −0.184173 0.982894i
\(6\) 2.33243 + 0.748191i 0.952209 + 0.305448i
\(7\) 3.34784i 1.26536i −0.774412 0.632681i \(-0.781954\pi\)
0.774412 0.632681i \(-0.218046\pi\)
\(8\) 1.97045 + 2.02912i 0.696659 + 0.717403i
\(9\) −1.72115 + 2.45716i −0.573718 + 0.819053i
\(10\) 2.60088 + 1.79873i 0.822469 + 0.568809i
\(11\) −5.09925 + 3.70482i −1.53748 + 1.11705i −0.585592 + 0.810606i \(0.699138\pi\)
−0.951890 + 0.306440i \(0.900862\pi\)
\(12\) −3.08833 + 1.56915i −0.891523 + 0.452975i
\(13\) 1.13075 + 0.821541i 0.313615 + 0.227854i 0.733446 0.679748i \(-0.237911\pi\)
−0.419831 + 0.907602i \(0.637911\pi\)
\(14\) 3.33143 + 3.36416i 0.890361 + 0.899111i
\(15\) −3.04745 + 2.39019i −0.786849 + 0.617145i
\(16\) −3.99923 0.0782277i −0.999809 0.0195569i
\(17\) −3.45194 + 1.12160i −0.837219 + 0.272029i −0.696083 0.717961i \(-0.745076\pi\)
−0.141136 + 0.989990i \(0.545076\pi\)
\(18\) −0.715566 4.18186i −0.168661 0.985674i
\(19\) 1.47558 0.479446i 0.338522 0.109993i −0.134823 0.990870i \(-0.543046\pi\)
0.473345 + 0.880877i \(0.343046\pi\)
\(20\) −4.40348 + 0.780622i −0.984648 + 0.174552i
\(21\) −5.14367 + 2.67706i −1.12244 + 0.584182i
\(22\) 1.43746 8.79715i 0.306467 1.87556i
\(23\) 5.31849 3.86411i 1.10898 0.805722i 0.126479 0.991969i \(-0.459632\pi\)
0.982503 + 0.186247i \(0.0596325\pi\)
\(24\) 1.54193 4.65000i 0.314745 0.949176i
\(25\) −4.66080 + 1.81022i −0.932161 + 0.362045i
\(26\) −1.95378 + 0.299664i −0.383168 + 0.0587689i
\(27\) 5.15152 + 0.679569i 0.991411 + 0.130783i
\(28\) −6.69535 0.0654765i −1.26530 0.0123739i
\(29\) −2.46654 0.801428i −0.458025 0.148821i 0.0709117 0.997483i \(-0.477409\pi\)
−0.528937 + 0.848661i \(0.677409\pi\)
\(30\) 0.683841 5.43437i 0.124852 0.992175i
\(31\) −3.51579 + 1.14235i −0.631455 + 0.205172i −0.607220 0.794534i \(-0.707715\pi\)
−0.0242355 + 0.999706i \(0.507715\pi\)
\(32\) 4.09659 3.90102i 0.724181 0.689610i
\(33\) 9.76971 + 4.87205i 1.70069 + 0.848116i
\(34\) 2.35267 4.56210i 0.403480 0.782394i
\(35\) −7.35793 + 1.37871i −1.24372 + 0.233045i
\(36\) 4.88042 + 3.49020i 0.813403 + 0.581700i
\(37\) −4.63882 3.37030i −0.762618 0.554074i 0.137094 0.990558i \(-0.456224\pi\)
−0.899712 + 0.436484i \(0.856224\pi\)
\(38\) −1.00568 + 1.95014i −0.163144 + 0.316354i
\(39\) 0.358034 2.39425i 0.0573313 0.383386i
\(40\) 3.64816 5.16632i 0.576825 0.816868i
\(41\) 0.595517 0.819659i 0.0930042 0.128009i −0.759979 0.649948i \(-0.774791\pi\)
0.852983 + 0.521938i \(0.174791\pi\)
\(42\) 2.50482 7.80858i 0.386502 1.20489i
\(43\) 2.65658i 0.405124i −0.979269 0.202562i \(-0.935073\pi\)
0.979269 0.202562i \(-0.0649268\pi\)
\(44\) 7.30956 + 10.2705i 1.10196 + 1.54833i
\(45\) 6.10920 + 2.77087i 0.910705 + 0.413057i
\(46\) −1.49926 + 9.17538i −0.221054 + 1.35284i
\(47\) 1.36431 4.19891i 0.199005 0.612475i −0.800901 0.598796i \(-0.795646\pi\)
0.999906 0.0136783i \(-0.00435408\pi\)
\(48\) 3.07776 + 6.20705i 0.444236 + 0.895910i
\(49\) −4.20800 −0.601143
\(50\) 2.88219 6.45701i 0.407603 0.913159i
\(51\) 4.48356 + 4.40675i 0.627824 + 0.617068i
\(52\) 1.66512 2.24533i 0.230910 0.311372i
\(53\) −8.76207 2.84697i −1.20356 0.391061i −0.362493 0.931987i \(-0.618074\pi\)
−0.841071 + 0.540925i \(0.818074\pi\)
\(54\) −5.85289 + 4.44339i −0.796477 + 0.604669i
\(55\) 10.2425 + 9.68149i 1.38110 + 1.30545i
\(56\) 6.79316 6.59674i 0.907775 0.881526i
\(57\) −1.91656 1.88373i −0.253855 0.249506i
\(58\) 3.27607 1.64911i 0.430169 0.216539i
\(59\) −5.57763 4.05239i −0.726146 0.527576i 0.162196 0.986759i \(-0.448142\pi\)
−0.888342 + 0.459183i \(0.848142\pi\)
\(60\) 4.72056 + 6.14136i 0.609421 + 0.792847i
\(61\) 1.88476 1.36935i 0.241318 0.175328i −0.460552 0.887633i \(-0.652349\pi\)
0.701870 + 0.712305i \(0.252349\pi\)
\(62\) 2.39619 4.64648i 0.304316 0.590104i
\(63\) 8.22616 + 5.76214i 1.03640 + 0.725961i
\(64\) −0.234664 + 7.99656i −0.0293330 + 0.999570i
\(65\) 1.33993 2.82352i 0.166197 0.350215i
\(66\) −14.6655 + 4.82601i −1.80520 + 0.594041i
\(67\) −11.2107 + 3.64258i −1.36961 + 0.445012i −0.899239 0.437458i \(-0.855879\pi\)
−0.470368 + 0.882470i \(0.655879\pi\)
\(68\) 2.17559 + 6.92549i 0.263829 + 0.839839i
\(69\) −10.1898 5.08152i −1.22670 0.611744i
\(70\) 6.02186 8.70731i 0.719750 1.04072i
\(71\) 1.51056 4.64904i 0.179271 0.551739i −0.820532 0.571601i \(-0.806323\pi\)
0.999803 + 0.0198616i \(0.00632257\pi\)
\(72\) −8.37732 + 1.34928i −0.987276 + 0.159014i
\(73\) 6.90929 5.01989i 0.808671 0.587534i −0.104774 0.994496i \(-0.533412\pi\)
0.913445 + 0.406962i \(0.133412\pi\)
\(74\) 8.01523 1.22934i 0.931752 0.142908i
\(75\) 6.50822 + 5.71341i 0.751504 + 0.659728i
\(76\) −0.929987 2.96040i −0.106677 0.339582i
\(77\) 12.4031 + 17.0714i 1.41347 + 1.94547i
\(78\) 2.02273 + 2.76220i 0.229029 + 0.312758i
\(79\) 11.2954 + 3.67009i 1.27083 + 0.412917i 0.865341 0.501183i \(-0.167102\pi\)
0.405487 + 0.914101i \(0.367102\pi\)
\(80\) 1.47505 + 8.82180i 0.164915 + 0.986308i
\(81\) −3.07526 8.45830i −0.341695 0.939811i
\(82\) 0.217220 + 1.41626i 0.0239879 + 0.156399i
\(83\) −1.69102 5.20442i −0.185613 0.571260i 0.814345 0.580381i \(-0.197096\pi\)
−0.999958 + 0.00912165i \(0.997096\pi\)
\(84\) 5.25327 + 10.3392i 0.573178 + 1.12810i
\(85\) 3.88667 + 7.12484i 0.421569 + 0.772797i
\(86\) 2.64356 + 2.66953i 0.285062 + 0.287863i
\(87\) 0.741016 + 4.43049i 0.0794452 + 0.474998i
\(88\) −17.5653 3.04683i −1.87247 0.324794i
\(89\) 5.68017 + 7.81809i 0.602097 + 0.828716i 0.995898 0.0904800i \(-0.0288401\pi\)
−0.393801 + 0.919196i \(0.628840\pi\)
\(90\) −8.89628 + 3.29487i −0.937750 + 0.347310i
\(91\) 2.75038 3.78558i 0.288319 0.396836i
\(92\) −7.62383 10.7120i −0.794839 1.11681i
\(93\) 4.56649 + 4.48826i 0.473523 + 0.465410i
\(94\) 2.80737 + 5.57702i 0.289558 + 0.575225i
\(95\) −1.66141 3.04562i −0.170458 0.312474i
\(96\) −9.26939 3.17465i −0.946053 0.324012i
\(97\) −2.29478 + 7.06261i −0.233000 + 0.717100i 0.764381 + 0.644765i \(0.223045\pi\)
−0.997380 + 0.0723344i \(0.976955\pi\)
\(98\) 4.22852 4.18737i 0.427145 0.422989i
\(99\) −0.326741 18.9062i −0.0328387 1.90015i
\(100\) 3.52912 + 9.35657i 0.352912 + 0.935657i
\(101\) 8.98869i 0.894408i −0.894432 0.447204i \(-0.852420\pi\)
0.894432 0.447204i \(-0.147580\pi\)
\(102\) −8.89058 + 0.0333460i −0.880298 + 0.00330174i
\(103\) −3.62270 1.17709i −0.356955 0.115982i 0.125049 0.992151i \(-0.460091\pi\)
−0.482004 + 0.876169i \(0.660091\pi\)
\(104\) 0.561087 + 3.91324i 0.0550191 + 0.383725i
\(105\) 8.00197 + 10.2024i 0.780912 + 0.995650i
\(106\) 11.6378 5.85827i 1.13037 0.569005i
\(107\) −6.04919 −0.584797 −0.292398 0.956297i \(-0.594453\pi\)
−0.292398 + 0.956297i \(0.594453\pi\)
\(108\) 1.45983 10.2893i 0.140472 0.990085i
\(109\) −1.43450 1.04222i −0.137400 0.0998270i 0.516962 0.856008i \(-0.327063\pi\)
−0.654362 + 0.756181i \(0.727063\pi\)
\(110\) −19.9265 + 0.463594i −1.89992 + 0.0442019i
\(111\) −1.46880 + 9.82219i −0.139413 + 0.932281i
\(112\) −0.261893 + 13.3888i −0.0247466 + 1.26512i
\(113\) 12.0444 16.5777i 1.13304 1.55950i 0.350883 0.936419i \(-0.385881\pi\)
0.782159 0.623079i \(-0.214119\pi\)
\(114\) 3.80041 0.0142542i 0.355941 0.00133503i
\(115\) −10.6829 10.0977i −0.996184 0.941619i
\(116\) −1.65102 + 4.91717i −0.153293 + 0.456548i
\(117\) −3.96486 + 1.36444i −0.366551 + 0.126143i
\(118\) 9.63736 1.47814i 0.887191 0.136074i
\(119\) 3.75495 + 11.5565i 0.344215 + 1.05939i
\(120\) −10.8548 1.47390i −0.990907 0.134548i
\(121\) 8.87746 27.3220i 0.807042 2.48382i
\(122\) −0.531305 + 3.25155i −0.0481021 + 0.294382i
\(123\) −1.73554 0.259531i −0.156488 0.0234011i
\(124\) 2.21583 + 7.05359i 0.198987 + 0.633431i
\(125\) 5.89796 + 9.49811i 0.527530 + 0.849536i
\(126\) −14.0002 + 2.39560i −1.24724 + 0.213417i
\(127\) −8.50764 11.7098i −0.754931 1.03907i −0.997619 0.0689693i \(-0.978029\pi\)
0.242687 0.970105i \(-0.421971\pi\)
\(128\) −7.72155 8.26908i −0.682495 0.730890i
\(129\) −4.08161 + 2.12430i −0.359366 + 0.187034i
\(130\) 1.46322 + 4.17065i 0.128333 + 0.365790i
\(131\) −2.68469 8.26263i −0.234563 0.721909i −0.997179 0.0750585i \(-0.976086\pi\)
0.762617 0.646851i \(-0.223914\pi\)
\(132\) 9.93472 19.4432i 0.864706 1.69231i
\(133\) −1.60511 4.94001i −0.139180 0.428353i
\(134\) 7.64067 14.8161i 0.660053 1.27992i
\(135\) −0.627945 11.6020i −0.0540449 0.998539i
\(136\) −9.07775 4.79435i −0.778411 0.411112i
\(137\) 5.09574 7.01369i 0.435359 0.599220i −0.533814 0.845602i \(-0.679242\pi\)
0.969173 + 0.246382i \(0.0792418\pi\)
\(138\) 15.2961 5.03350i 1.30209 0.428480i
\(139\) 2.41927 + 3.32984i 0.205200 + 0.282434i 0.899197 0.437545i \(-0.144152\pi\)
−0.693997 + 0.719978i \(0.744152\pi\)
\(140\) 2.61339 + 14.7421i 0.220872 + 1.24594i
\(141\) −7.54224 + 1.26147i −0.635171 + 0.106235i
\(142\) 3.10832 + 6.17487i 0.260844 + 0.518184i
\(143\) −8.80966 −0.736701
\(144\) 7.07552 9.69211i 0.589626 0.807676i
\(145\) −0.745614 + 5.75105i −0.0619199 + 0.477599i
\(146\) −1.94770 + 11.9198i −0.161193 + 0.986490i
\(147\) 3.36488 + 6.46524i 0.277531 + 0.533244i
\(148\) −6.83101 + 9.21128i −0.561505 + 0.757163i
\(149\) 1.23958i 0.101551i −0.998710 0.0507753i \(-0.983831\pi\)
0.998710 0.0507753i \(-0.0161692\pi\)
\(150\) −12.2254 + 0.735039i −0.998197 + 0.0600157i
\(151\) 12.5623i 1.02230i 0.859491 + 0.511151i \(0.170781\pi\)
−0.859491 + 0.511151i \(0.829219\pi\)
\(152\) 3.88042 + 2.04941i 0.314743 + 0.166229i
\(153\) 3.18537 10.4124i 0.257522 0.841795i
\(154\) −29.4514 4.81238i −2.37326 0.387792i
\(155\) 3.95856 + 7.25663i 0.317959 + 0.582866i
\(156\) −4.78126 0.762860i −0.382807 0.0610777i
\(157\) −8.80894 −0.703030 −0.351515 0.936182i \(-0.614333\pi\)
−0.351515 + 0.936182i \(0.614333\pi\)
\(158\) −15.0026 + 7.55202i −1.19354 + 0.600806i
\(159\) 2.63237 + 15.7387i 0.208760 + 1.24816i
\(160\) −10.2608 7.39702i −0.811188 0.584786i
\(161\) −12.9364 17.8054i −1.01953 1.40326i
\(162\) 11.5071 + 5.43937i 0.904083 + 0.427357i
\(163\) 3.05216 4.20094i 0.239064 0.329043i −0.672580 0.740024i \(-0.734814\pi\)
0.911644 + 0.410981i \(0.134814\pi\)
\(164\) −1.62759 1.20701i −0.127094 0.0942515i
\(165\) 6.68449 23.4785i 0.520387 1.82780i
\(166\) 6.87818 + 3.54708i 0.533850 + 0.275307i
\(167\) −1.27458 3.92276i −0.0986300 0.303552i 0.889553 0.456833i \(-0.151016\pi\)
−0.988183 + 0.153281i \(0.951016\pi\)
\(168\) −15.5674 5.16212i −1.20105 0.398266i
\(169\) −3.41355 10.5058i −0.262580 0.808139i
\(170\) −10.9955 3.29197i −0.843320 0.252483i
\(171\) −1.36163 + 4.45094i −0.104127 + 0.340372i
\(172\) −5.31290 0.0519569i −0.405105 0.00396168i
\(173\) 3.74016 + 5.14789i 0.284359 + 0.391387i 0.927172 0.374637i \(-0.122233\pi\)
−0.642812 + 0.766024i \(0.722233\pi\)
\(174\) −5.15340 3.71471i −0.390678 0.281612i
\(175\) 6.06033 + 15.6036i 0.458118 + 1.17952i
\(176\) 20.6829 14.4176i 1.55903 1.08676i
\(177\) −1.76606 + 11.8100i −0.132745 + 0.887695i
\(178\) −13.4876 2.20389i −1.01094 0.165188i
\(179\) −0.377475 + 1.16175i −0.0282138 + 0.0868332i −0.964172 0.265278i \(-0.914536\pi\)
0.935958 + 0.352111i \(0.114536\pi\)
\(180\) 5.66095 12.1636i 0.421943 0.906623i
\(181\) 7.35700 + 22.6425i 0.546842 + 1.68301i 0.716570 + 0.697515i \(0.245711\pi\)
−0.169729 + 0.985491i \(0.554289\pi\)
\(182\) 1.00322 + 6.54095i 0.0743639 + 0.484847i
\(183\) −3.61102 1.80078i −0.266935 0.133117i
\(184\) 18.3206 + 3.17783i 1.35061 + 0.234273i
\(185\) −5.49694 + 11.5833i −0.404143 + 0.851618i
\(186\) −9.05502 + 0.0339628i −0.663946 + 0.00249027i
\(187\) 13.4470 18.5082i 0.983341 1.35345i
\(188\) −8.37074 2.81061i −0.610499 0.204985i
\(189\) 2.27509 17.2464i 0.165488 1.25449i
\(190\) 4.70021 + 1.40720i 0.340989 + 0.102089i
\(191\) 3.06169 + 2.22445i 0.221536 + 0.160955i 0.693018 0.720920i \(-0.256281\pi\)
−0.471482 + 0.881876i \(0.656281\pi\)
\(192\) 12.4737 6.03382i 0.900211 0.435453i
\(193\) 17.8773 1.28684 0.643419 0.765514i \(-0.277515\pi\)
0.643419 + 0.765514i \(0.277515\pi\)
\(194\) −4.72202 9.38059i −0.339021 0.673487i
\(195\) −5.40956 + 0.199112i −0.387387 + 0.0142587i
\(196\) −0.0822994 + 8.41560i −0.00587853 + 0.601114i
\(197\) 1.71113 + 0.555979i 0.121913 + 0.0396118i 0.369338 0.929295i \(-0.379584\pi\)
−0.247425 + 0.968907i \(0.579584\pi\)
\(198\) 19.1419 + 18.6733i 1.36036 + 1.32705i
\(199\) 5.18249i 0.367377i 0.982985 + 0.183688i \(0.0588037\pi\)
−0.982985 + 0.183688i \(0.941196\pi\)
\(200\) −12.8570 5.89038i −0.909130 0.416513i
\(201\) 14.5611 + 14.3116i 1.02706 + 1.00946i
\(202\) 8.94463 + 9.03253i 0.629342 + 0.635527i
\(203\) −2.68305 + 8.25757i −0.188313 + 0.579568i
\(204\) 8.90076 8.88051i 0.623178 0.621760i
\(205\) −2.04671 0.971284i −0.142948 0.0678374i
\(206\) 4.81168 2.42211i 0.335246 0.168757i
\(207\) 0.340789 + 19.7191i 0.0236865 + 1.37057i
\(208\) −4.45788 3.37399i −0.309099 0.233944i
\(209\) −5.74811 + 7.91159i −0.397605 + 0.547256i
\(210\) −18.1934 2.28939i −1.25546 0.157983i
\(211\) −10.4078 14.3251i −0.716502 0.986181i −0.999633 0.0270992i \(-0.991373\pi\)
0.283131 0.959081i \(-0.408627\pi\)
\(212\) −5.86504 + 17.4676i −0.402812 + 1.19968i
\(213\) −8.35077 + 1.39670i −0.572185 + 0.0957001i
\(214\) 6.07869 6.01954i 0.415531 0.411487i
\(215\) −5.83867 + 1.09404i −0.398194 + 0.0746128i
\(216\) 8.77188 + 11.7921i 0.596851 + 0.802352i
\(217\) 3.82440 + 11.7703i 0.259617 + 0.799020i
\(218\) 2.47861 0.380160i 0.167873 0.0257477i
\(219\) −13.2376 6.60145i −0.894514 0.446085i
\(220\) 19.5624 20.2947i 1.31890 1.36827i
\(221\) −4.82474 1.56765i −0.324547 0.105452i
\(222\) −8.29808 11.3317i −0.556931 0.760534i
\(223\) 8.43606 + 11.6112i 0.564920 + 0.777546i 0.991942 0.126696i \(-0.0404371\pi\)
−0.427021 + 0.904242i \(0.640437\pi\)
\(224\) −13.0600 13.7147i −0.872607 0.916351i
\(225\) 3.57396 14.5680i 0.238264 0.971200i
\(226\) 4.39329 + 28.6439i 0.292237 + 1.90537i
\(227\) −16.6945 + 12.1293i −1.10806 + 0.805049i −0.982356 0.187019i \(-0.940117\pi\)
−0.125699 + 0.992068i \(0.540117\pi\)
\(228\) −3.80476 + 3.79610i −0.251976 + 0.251403i
\(229\) −0.393608 + 1.21140i −0.0260103 + 0.0800516i −0.963219 0.268717i \(-0.913400\pi\)
0.937209 + 0.348769i \(0.113400\pi\)
\(230\) 20.7832 0.483526i 1.37041 0.0318827i
\(231\) 16.3108 32.7074i 1.07317 2.15199i
\(232\) −3.23400 6.58408i −0.212322 0.432266i
\(233\) −14.6639 + 4.76458i −0.960661 + 0.312138i −0.747040 0.664779i \(-0.768526\pi\)
−0.213621 + 0.976917i \(0.568526\pi\)
\(234\) 2.62644 5.31652i 0.171696 0.347552i
\(235\) −9.79030 1.26930i −0.638649 0.0827997i
\(236\) −8.21347 + 11.0755i −0.534651 + 0.720952i
\(237\) −3.39344 20.2891i −0.220427 1.31792i
\(238\) −15.2732 7.87636i −0.990012 0.510549i
\(239\) 3.26050 2.36889i 0.210904 0.153231i −0.477318 0.878730i \(-0.658391\pi\)
0.688223 + 0.725499i \(0.258391\pi\)
\(240\) 12.3745 9.32055i 0.798768 0.601639i
\(241\) −4.60913 3.34873i −0.296900 0.215711i 0.429355 0.903136i \(-0.358741\pi\)
−0.726255 + 0.687425i \(0.758741\pi\)
\(242\) 18.2673 + 36.2892i 1.17427 + 2.33276i
\(243\) −10.5364 + 11.4885i −0.675909 + 0.736985i
\(244\) −2.70172 3.79611i −0.172960 0.243021i
\(245\) 1.73295 + 9.24841i 0.110714 + 0.590860i
\(246\) 2.00226 1.46623i 0.127660 0.0934837i
\(247\) 2.06241 + 0.670117i 0.131228 + 0.0426385i
\(248\) −9.24566 4.88303i −0.587100 0.310072i
\(249\) −6.64396 + 6.75977i −0.421044 + 0.428383i
\(250\) −15.3783 3.67538i −0.972608 0.232451i
\(251\) 15.9479 1.00662 0.503311 0.864105i \(-0.332115\pi\)
0.503311 + 0.864105i \(0.332115\pi\)
\(252\) 11.6846 16.3388i 0.736062 1.02925i
\(253\) −12.8045 + 39.4081i −0.805010 + 2.47757i
\(254\) 20.2015 + 3.30094i 1.26756 + 0.207119i
\(255\) 7.83879 11.6688i 0.490884 0.730732i
\(256\) 15.9878 + 0.625702i 0.999235 + 0.0391064i
\(257\) 23.3471i 1.45635i 0.685390 + 0.728176i \(0.259632\pi\)
−0.685390 + 0.728176i \(0.740368\pi\)
\(258\) 1.98763 6.19627i 0.123744 0.385763i
\(259\) −11.2832 + 15.5300i −0.701105 + 0.964988i
\(260\) −5.62056 2.73495i −0.348573 0.169614i
\(261\) 6.21453 4.68130i 0.384670 0.289765i
\(262\) 10.9199 + 5.63140i 0.674635 + 0.347909i
\(263\) 19.0858 + 13.8667i 1.17688 + 0.855056i 0.991817 0.127670i \(-0.0407499\pi\)
0.185067 + 0.982726i \(0.440750\pi\)
\(264\) 9.36473 + 29.4241i 0.576359 + 1.81093i
\(265\) −2.64870 + 20.4299i −0.162708 + 1.25500i
\(266\) 6.52873 + 3.36687i 0.400302 + 0.206436i
\(267\) 7.46975 14.9788i 0.457141 0.916686i
\(268\) 7.06556 + 22.4916i 0.431598 + 1.37389i
\(269\) 12.0643 3.91992i 0.735573 0.239002i 0.0828109 0.996565i \(-0.473610\pi\)
0.652762 + 0.757563i \(0.273610\pi\)
\(270\) 12.1761 + 11.0337i 0.741014 + 0.671489i
\(271\) −25.9384 8.42789i −1.57564 0.511958i −0.614714 0.788750i \(-0.710728\pi\)
−0.960930 + 0.276793i \(0.910728\pi\)
\(272\) 13.8929 4.21552i 0.842379 0.255604i
\(273\) −8.01554 1.19864i −0.485123 0.0725449i
\(274\) 1.85871 + 12.1187i 0.112289 + 0.732115i
\(275\) 17.0601 26.4982i 1.02876 1.59790i
\(276\) −10.3619 + 20.2791i −0.623710 + 1.22066i
\(277\) 24.5492 17.8360i 1.47502 1.07166i 0.495900 0.868380i \(-0.334838\pi\)
0.979120 0.203284i \(-0.0651616\pi\)
\(278\) −5.74459 0.938670i −0.344538 0.0562977i
\(279\) 3.24428 10.6050i 0.194230 0.634906i
\(280\) −17.2960 12.2134i −1.03363 0.729893i
\(281\) −0.511219 + 0.166105i −0.0304968 + 0.00990899i −0.324226 0.945980i \(-0.605104\pi\)
0.293729 + 0.955889i \(0.405104\pi\)
\(282\) 6.32374 8.77289i 0.376573 0.522418i
\(283\) 20.1010 6.53121i 1.19488 0.388240i 0.357005 0.934102i \(-0.383798\pi\)
0.837875 + 0.545862i \(0.183798\pi\)
\(284\) −9.26809 3.11191i −0.549960 0.184658i
\(285\) −3.35081 + 4.98802i −0.198485 + 0.295465i
\(286\) 8.85263 8.76648i 0.523467 0.518373i
\(287\) −2.74408 1.99369i −0.161978 0.117684i
\(288\) 2.53458 + 16.7802i 0.149352 + 0.988784i
\(289\) −3.09537 + 2.24892i −0.182081 + 0.132289i
\(290\) −4.97361 6.52106i −0.292061 0.382930i
\(291\) 12.6861 2.12180i 0.743673 0.124382i
\(292\) −9.90418 13.9161i −0.579598 0.814378i
\(293\) 32.2373i 1.88332i −0.336559 0.941662i \(-0.609263\pi\)
0.336559 0.941662i \(-0.390737\pi\)
\(294\) −9.81485 3.14839i −0.572413 0.183618i
\(295\) −6.60941 + 13.9275i −0.384815 + 0.810889i
\(296\) −2.30181 16.0537i −0.133790 0.933105i
\(297\) −28.7866 + 15.6202i −1.67037 + 0.906375i
\(298\) 1.23351 + 1.24563i 0.0714551 + 0.0721573i
\(299\) 9.18843 0.531380
\(300\) 11.5536 12.9041i 0.667045 0.745017i
\(301\) −8.89378 −0.512629
\(302\) −12.5007 12.6235i −0.719334 0.726403i
\(303\) −13.8104 + 7.18771i −0.793385 + 0.412923i
\(304\) −5.93871 + 1.80199i −0.340609 + 0.103351i
\(305\) −3.78578 3.57842i −0.216773 0.204900i
\(306\) 7.16049 + 13.6330i 0.409338 + 0.779345i
\(307\) 7.22877i 0.412568i 0.978492 + 0.206284i \(0.0661371\pi\)
−0.978492 + 0.206284i \(0.933863\pi\)
\(308\) 34.3838 24.4712i 1.95920 1.39438i
\(309\) 1.08836 + 6.50722i 0.0619145 + 0.370183i
\(310\) −11.1989 3.35286i −0.636056 0.190430i
\(311\) 16.9924 12.3457i 0.963553 0.700062i 0.00957975 0.999954i \(-0.496951\pi\)
0.953973 + 0.299892i \(0.0969506\pi\)
\(312\) 5.56370 3.99124i 0.314983 0.225960i
\(313\) −3.39935 2.46977i −0.192143 0.139600i 0.487555 0.873092i \(-0.337889\pi\)
−0.679698 + 0.733493i \(0.737889\pi\)
\(314\) 8.85191 8.76577i 0.499542 0.494681i
\(315\) 9.27641 20.4526i 0.522667 1.15237i
\(316\) 7.56074 22.5179i 0.425325 1.26673i
\(317\) −19.7318 + 6.41126i −1.10825 + 0.360092i −0.805272 0.592906i \(-0.797981\pi\)
−0.302977 + 0.952998i \(0.597981\pi\)
\(318\) −18.3068 13.1961i −1.02659 0.739998i
\(319\) 15.5467 5.05141i 0.870446 0.282825i
\(320\) 17.6716 2.77742i 0.987873 0.155262i
\(321\) 4.83717 + 9.29407i 0.269984 + 0.518745i
\(322\) 30.7176 + 5.01928i 1.71183 + 0.279714i
\(323\) −4.55588 + 3.31004i −0.253496 + 0.184176i
\(324\) −16.9759 + 5.98480i −0.943107 + 0.332489i
\(325\) −6.75740 1.78212i −0.374833 0.0988545i
\(326\) 1.11330 + 7.25863i 0.0616600 + 0.402018i
\(327\) −0.454210 + 3.03739i −0.0251179 + 0.167968i
\(328\) 2.83662 0.406720i 0.156626 0.0224573i
\(329\) −14.0573 4.56748i −0.775002 0.251814i
\(330\) 16.6463 + 30.2447i 0.916348 + 1.66492i
\(331\) 16.7097 5.42930i 0.918446 0.298421i 0.188617 0.982051i \(-0.439600\pi\)
0.729829 + 0.683630i \(0.239600\pi\)
\(332\) −10.4414 + 3.28009i −0.573047 + 0.180018i
\(333\) 16.2655 5.59751i 0.891344 0.306742i
\(334\) 5.18433 + 2.67356i 0.283674 + 0.146290i
\(335\) 12.6226 + 23.1390i 0.689644 + 1.26422i
\(336\) 20.7802 10.3038i 1.13365 0.562119i
\(337\) −13.7814 10.0128i −0.750722 0.545431i 0.145329 0.989383i \(-0.453576\pi\)
−0.896050 + 0.443952i \(0.853576\pi\)
\(338\) 13.8845 + 7.16024i 0.755218 + 0.389466i
\(339\) −35.1014 5.24904i −1.90645 0.285089i
\(340\) 14.3250 7.63362i 0.776883 0.413991i
\(341\) 13.6957 18.8505i 0.741664 1.02081i
\(342\) −3.06086 5.82761i −0.165512 0.315121i
\(343\) 9.34716i 0.504699i
\(344\) 5.39052 5.23465i 0.290637 0.282233i
\(345\) −6.97189 + 24.4879i −0.375354 + 1.31838i
\(346\) −8.88107 1.45117i −0.477449 0.0780155i
\(347\) −2.42398 + 7.46024i −0.130126 + 0.400486i −0.994800 0.101847i \(-0.967525\pi\)
0.864674 + 0.502333i \(0.167525\pi\)
\(348\) 8.87505 1.39531i 0.475752 0.0747965i
\(349\) 3.78500 0.202606 0.101303 0.994856i \(-0.467699\pi\)
0.101303 + 0.994856i \(0.467699\pi\)
\(350\) −21.6170 9.64909i −1.15548 0.515765i
\(351\) 5.26681 + 5.00061i 0.281122 + 0.266913i
\(352\) −6.43692 + 35.0694i −0.343089 + 1.86921i
\(353\) −8.81210 2.86322i −0.469021 0.152394i 0.0649650 0.997888i \(-0.479306\pi\)
−0.533986 + 0.845493i \(0.679306\pi\)
\(354\) −9.97745 13.6250i −0.530296 0.724162i
\(355\) −10.8398 1.40536i −0.575318 0.0745890i
\(356\) 15.7465 11.2069i 0.834564 0.593964i
\(357\) 14.7531 15.0102i 0.780815 0.794425i
\(358\) −0.776738 1.54304i −0.0410519 0.0815522i
\(359\) −10.1108 7.34595i −0.533629 0.387704i 0.288084 0.957605i \(-0.406982\pi\)
−0.821714 + 0.569901i \(0.806982\pi\)
\(360\) 6.41543 + 17.8562i 0.338123 + 0.941102i
\(361\) −13.4238 + 9.75299i −0.706518 + 0.513315i
\(362\) −29.9244 15.4320i −1.57279 0.811089i
\(363\) −49.0768 + 8.20827i −2.57586 + 0.430823i
\(364\) −7.51700 5.57454i −0.393998 0.292185i
\(365\) −13.8782 13.1181i −0.726419 0.686630i
\(366\) 5.42059 1.78376i 0.283339 0.0932387i
\(367\) 3.83285 1.24537i 0.200073 0.0650077i −0.207266 0.978285i \(-0.566457\pi\)
0.407339 + 0.913277i \(0.366457\pi\)
\(368\) −21.5722 + 15.0374i −1.12453 + 0.783880i
\(369\) 0.989056 + 2.87404i 0.0514882 + 0.149617i
\(370\) −6.00273 17.1097i −0.312067 0.889493i
\(371\) −9.53119 + 29.3340i −0.494835 + 1.52294i
\(372\) 9.06539 9.04477i 0.470019 0.468949i
\(373\) −1.58480 + 1.15142i −0.0820577 + 0.0596184i −0.628058 0.778167i \(-0.716150\pi\)
0.546000 + 0.837785i \(0.316150\pi\)
\(374\) 4.90489 + 31.9795i 0.253626 + 1.65362i
\(375\) 9.87681 16.6568i 0.510036 0.860153i
\(376\) 11.2084 5.50539i 0.578029 0.283919i
\(377\) −2.13065 2.93258i −0.109734 0.151036i
\(378\) 14.8757 + 19.5945i 0.765125 + 1.00783i
\(379\) 17.6066 + 5.72073i 0.904390 + 0.293854i 0.724048 0.689750i \(-0.242279\pi\)
0.180342 + 0.983604i \(0.442279\pi\)
\(380\) −6.12344 + 3.26310i −0.314126 + 0.167394i
\(381\) −11.1880 + 22.4349i −0.573181 + 1.14937i
\(382\) −5.29017 + 0.811385i −0.270668 + 0.0415141i
\(383\) −4.14810 12.7665i −0.211958 0.652340i −0.999356 0.0358942i \(-0.988572\pi\)
0.787398 0.616445i \(-0.211428\pi\)
\(384\) −6.53029 + 18.4758i −0.333247 + 0.942839i
\(385\) 32.4120 34.2902i 1.65187 1.74759i
\(386\) −17.9645 + 17.7897i −0.914370 + 0.905472i
\(387\) 6.52763 + 4.57238i 0.331818 + 0.232427i
\(388\) 14.0797 + 4.72747i 0.714787 + 0.240001i
\(389\) 10.9893 + 15.1255i 0.557181 + 0.766894i 0.990965 0.134123i \(-0.0428218\pi\)
−0.433784 + 0.901017i \(0.642822\pi\)
\(390\) 5.23781 5.58313i 0.265227 0.282713i
\(391\) −14.0251 + 19.3039i −0.709281 + 0.976241i
\(392\) −8.29165 8.53854i −0.418791 0.431261i
\(393\) −10.5481 + 10.7319i −0.532079 + 0.541354i
\(394\) −2.27273 + 1.14405i −0.114498 + 0.0576364i
\(395\) 3.41449 26.3366i 0.171802 1.32514i
\(396\) −37.8171 + 0.283686i −1.90038 + 0.0142557i
\(397\) −0.665902 + 2.04944i −0.0334207 + 0.102858i −0.966375 0.257136i \(-0.917221\pi\)
0.932955 + 0.359994i \(0.117221\pi\)
\(398\) −5.15709 5.20777i −0.258501 0.261042i
\(399\) −6.30641 + 6.41634i −0.315715 + 0.321219i
\(400\) 18.7813 6.87490i 0.939063 0.343745i
\(401\) 34.5952i 1.72760i 0.503834 + 0.863801i \(0.331922\pi\)
−0.503834 + 0.863801i \(0.668078\pi\)
\(402\) −28.8735 + 0.108296i −1.44008 + 0.00540132i
\(403\) −4.91398 1.59665i −0.244783 0.0795348i
\(404\) −17.9765 0.175800i −0.894365 0.00874635i
\(405\) −17.3233 + 10.2422i −0.860803 + 0.508938i
\(406\) −5.52096 10.9677i −0.274001 0.544320i
\(407\) 36.1409 1.79144
\(408\) −0.107192 + 17.7810i −0.00530679 + 0.880288i
\(409\) −21.9558 15.9518i −1.08565 0.788768i −0.106987 0.994260i \(-0.534120\pi\)
−0.978659 + 0.205492i \(0.934120\pi\)
\(410\) 3.02322 1.06066i 0.149306 0.0523821i
\(411\) −14.8507 2.22076i −0.732531 0.109542i
\(412\) −2.42491 + 7.22203i −0.119467 + 0.355804i
\(413\) −13.5667 + 18.6730i −0.667575 + 0.918838i
\(414\) −19.9649 19.4762i −0.981221 0.957201i
\(415\) −10.7420 + 5.85985i −0.527303 + 0.287649i
\(416\) 7.83708 1.04559i 0.384245 0.0512640i
\(417\) 3.18148 6.37968i 0.155798 0.312414i
\(418\) −2.09667 13.6701i −0.102551 0.668627i
\(419\) −5.70337 17.5532i −0.278628 0.857528i −0.988237 0.152932i \(-0.951128\pi\)
0.709609 0.704596i \(-0.248872\pi\)
\(420\) 20.5603 15.8036i 1.00324 0.771139i
\(421\) −0.559054 + 1.72059i −0.0272466 + 0.0838566i −0.963755 0.266788i \(-0.914038\pi\)
0.936509 + 0.350645i \(0.114038\pi\)
\(422\) 24.7134 + 4.03819i 1.20303 + 0.196576i
\(423\) 7.96921 + 10.5793i 0.387476 + 0.514383i
\(424\) −11.4884 23.3891i −0.557925 1.13588i
\(425\) 14.0585 11.4764i 0.681936 0.556685i
\(426\) 7.00165 9.71335i 0.339231 0.470613i
\(427\) −4.58437 6.30985i −0.221853 0.305355i
\(428\) −0.118309 + 12.0978i −0.00571869 + 0.584769i
\(429\) 7.04455 + 13.5353i 0.340114 + 0.653491i
\(430\) 4.77847 6.90943i 0.230438 0.333202i
\(431\) 4.84535 + 14.9124i 0.233392 + 0.718307i 0.997331 + 0.0730181i \(0.0232631\pi\)
−0.763938 + 0.645289i \(0.776737\pi\)
\(432\) −20.5490 3.12075i −0.988664 0.150147i
\(433\) −1.94685 5.99180i −0.0935598 0.287947i 0.893316 0.449429i \(-0.148373\pi\)
−0.986876 + 0.161482i \(0.948373\pi\)
\(434\) −15.5557 8.02205i −0.746695 0.385071i
\(435\) 9.43224 3.45319i 0.452241 0.165568i
\(436\) −2.11241 + 2.84848i −0.101166 + 0.136417i
\(437\) 5.99524 8.25175i 0.286791 0.394735i
\(438\) 19.8712 6.53906i 0.949485 0.312448i
\(439\) −7.59345 10.4515i −0.362416 0.498823i 0.588404 0.808567i \(-0.299756\pi\)
−0.950820 + 0.309744i \(0.899756\pi\)
\(440\) 0.537423 + 39.8602i 0.0256207 + 1.90026i
\(441\) 7.24261 10.3397i 0.344886 0.492368i
\(442\) 6.40825 3.22579i 0.304809 0.153435i
\(443\) −6.36801 −0.302553 −0.151277 0.988491i \(-0.548338\pi\)
−0.151277 + 0.988491i \(0.548338\pi\)
\(444\) 19.6147 + 3.12957i 0.930873 + 0.148523i
\(445\) 14.8435 15.7037i 0.703650 0.744424i
\(446\) −20.0315 3.27316i −0.948520 0.154989i
\(447\) −1.90452 + 0.991219i −0.0900805 + 0.0468831i
\(448\) 26.7712 + 0.785617i 1.26482 + 0.0371169i
\(449\) 23.4324i 1.10584i −0.833234 0.552921i \(-0.813513\pi\)
0.833234 0.552921i \(-0.186487\pi\)
\(450\) 10.9052 + 18.1955i 0.514077 + 0.857744i
\(451\) 6.38594i 0.300702i
\(452\) −32.9182 24.4119i −1.54834 1.14824i
\(453\) 19.3009 10.0453i 0.906834 0.471968i
\(454\) 4.70613 28.8012i 0.220869 1.35171i
\(455\) −9.45268 4.48585i −0.443149 0.210300i
\(456\) 0.0458207 7.60073i 0.00214575 0.355937i
\(457\) −8.32279 −0.389324 −0.194662 0.980870i \(-0.562361\pi\)
−0.194662 + 0.980870i \(0.562361\pi\)
\(458\) −0.809935 1.60899i −0.0378458 0.0751830i
\(459\) −18.5450 + 3.43214i −0.865605 + 0.160198i
\(460\) −20.4034 + 21.1672i −0.951316 + 0.986928i
\(461\) 11.5566 + 15.9064i 0.538247 + 0.740833i 0.988359 0.152139i \(-0.0486161\pi\)
−0.450113 + 0.892972i \(0.648616\pi\)
\(462\) 16.1567 + 49.0978i 0.751677 + 2.28424i
\(463\) 5.74976 7.91387i 0.267214 0.367789i −0.654233 0.756293i \(-0.727008\pi\)
0.921447 + 0.388505i \(0.127008\pi\)
\(464\) 9.80158 + 3.39805i 0.455027 + 0.157750i
\(465\) 7.98378 11.8847i 0.370239 0.551139i
\(466\) 9.99416 19.3798i 0.462970 0.897752i
\(467\) 9.68285 + 29.8008i 0.448069 + 1.37901i 0.879083 + 0.476669i \(0.158156\pi\)
−0.431014 + 0.902345i \(0.641844\pi\)
\(468\) 2.65121 + 7.95602i 0.122552 + 0.367767i
\(469\) 12.1948 + 37.5316i 0.563102 + 1.73305i
\(470\) 11.1011 8.46683i 0.512057 0.390546i
\(471\) 7.04398 + 13.5342i 0.324569 + 0.623623i
\(472\) −2.76765 19.3027i −0.127392 0.888479i
\(473\) 9.84215 + 13.5466i 0.452542 + 0.622871i
\(474\) 23.5997 + 17.0113i 1.08397 + 0.781355i
\(475\) −6.00950 + 4.90574i −0.275735 + 0.225091i
\(476\) 23.1854 7.28351i 1.06270 0.333839i
\(477\) 22.0763 16.6297i 1.01081 0.761423i
\(478\) −0.919123 + 5.62497i −0.0420397 + 0.257280i
\(479\) −6.93603 + 21.3469i −0.316915 + 0.975365i 0.658044 + 0.752980i \(0.271384\pi\)
−0.974959 + 0.222385i \(0.928616\pi\)
\(480\) −3.15996 + 21.6798i −0.144232 + 0.989544i
\(481\) −2.47653 7.62196i −0.112920 0.347532i
\(482\) 7.96392 1.22148i 0.362747 0.0556367i
\(483\) −17.0121 + 34.1136i −0.774077 + 1.55222i
\(484\) −54.4678 18.2884i −2.47581 0.831292i
\(485\) 16.4674 + 2.13497i 0.747745 + 0.0969439i
\(486\) −0.844389 22.0292i −0.0383023 0.999266i
\(487\) 3.01679 4.15226i 0.136704 0.188157i −0.735176 0.677876i \(-0.762901\pi\)
0.871880 + 0.489719i \(0.162901\pi\)
\(488\) 6.49240 + 1.12615i 0.293897 + 0.0509786i
\(489\) −8.89502 1.33016i −0.402247 0.0601517i
\(490\) −10.9445 7.56907i −0.494421 0.341936i
\(491\) −6.49724 4.72052i −0.293216 0.213034i 0.431445 0.902139i \(-0.358004\pi\)
−0.724661 + 0.689105i \(0.758004\pi\)
\(492\) −0.552981 + 3.46583i −0.0249303 + 0.156252i
\(493\) 9.41324 0.423951
\(494\) −2.73930 + 1.37891i −0.123247 + 0.0620402i
\(495\) −41.4179 + 8.50414i −1.86160 + 0.382233i
\(496\) 14.1498 4.29350i 0.635347 0.192784i
\(497\) −15.5642 5.05712i −0.698150 0.226843i
\(498\) −0.0502750 13.4041i −0.00225288 0.600654i
\(499\) 10.7903i 0.483038i −0.970396 0.241519i \(-0.922354\pi\)
0.970396 0.241519i \(-0.0776457\pi\)
\(500\) 19.1107 11.6096i 0.854654 0.519197i
\(501\) −5.00778 + 5.09508i −0.223731 + 0.227631i
\(502\) −16.0257 + 15.8697i −0.715261 + 0.708301i
\(503\) 1.58509 4.87839i 0.0706755 0.217517i −0.909480 0.415748i \(-0.863520\pi\)
0.980155 + 0.198231i \(0.0635197\pi\)
\(504\) 4.51715 + 28.0459i 0.201210 + 1.24926i
\(505\) −19.7555 + 3.70175i −0.879108 + 0.164726i
\(506\) −26.3480 52.3420i −1.17131 2.32689i
\(507\) −13.4117 + 13.6455i −0.595635 + 0.606018i
\(508\) −23.5848 + 16.7855i −1.04641 + 0.744734i
\(509\) 9.98245 13.7397i 0.442464 0.609000i −0.528293 0.849062i \(-0.677168\pi\)
0.970757 + 0.240062i \(0.0771679\pi\)
\(510\) 3.73463 + 19.5261i 0.165372 + 0.864632i
\(511\) −16.8058 23.1312i −0.743444 1.02326i
\(512\) −16.6884 + 15.2806i −0.737529 + 0.675315i
\(513\) 7.92732 1.46712i 0.350000 0.0647748i
\(514\) −23.2327 23.4610i −1.02475 1.03482i
\(515\) −1.09511 + 8.44678i −0.0482563 + 0.372210i
\(516\) 4.16858 + 8.20438i 0.183511 + 0.361178i
\(517\) 8.59927 + 26.4658i 0.378196 + 1.16397i
\(518\) −4.11564 26.8337i −0.180831 1.17900i
\(519\) 4.91853 9.86291i 0.215899 0.432934i
\(520\) 8.36952 2.84473i 0.367028 0.124750i
\(521\) 35.1836 + 11.4319i 1.54142 + 0.500839i 0.951769 0.306816i \(-0.0992638\pi\)
0.589655 + 0.807655i \(0.299264\pi\)
\(522\) −1.58649 + 10.8882i −0.0694386 + 0.476564i
\(523\) 3.49557 + 4.81123i 0.152850 + 0.210381i 0.878575 0.477605i \(-0.158495\pi\)
−0.725724 + 0.687986i \(0.758495\pi\)
\(524\) −16.5770 + 5.20753i −0.724168 + 0.227492i
\(525\) 19.1276 21.7884i 0.834795 0.950926i
\(526\) −32.9776 + 5.05798i −1.43789 + 0.220538i
\(527\) 10.8551 7.88666i 0.472854 0.343548i
\(528\) −38.6902 20.2487i −1.68378 0.881214i
\(529\) 6.24760 19.2281i 0.271635 0.836006i
\(530\) −17.6681 23.1653i −0.767455 1.00623i
\(531\) 19.5573 6.73034i 0.848715 0.292072i
\(532\) −9.91094 + 3.11344i −0.429694 + 0.134985i
\(533\) 1.34677 0.437591i 0.0583350 0.0189542i
\(534\) 7.39916 + 22.4850i 0.320193 + 0.973020i
\(535\) 2.49119 + 13.2950i 0.107704 + 0.574793i
\(536\) −29.4814 15.5704i −1.27340 0.672538i
\(537\) 2.08677 0.349021i 0.0900509 0.0150614i
\(538\) −8.22242 + 15.9442i −0.354494 + 0.687403i
\(539\) 21.4576 15.5899i 0.924246 0.671504i
\(540\) −23.2151 + 1.02892i −0.999019 + 0.0442777i
\(541\) −17.2017 12.4977i −0.739557 0.537320i 0.153015 0.988224i \(-0.451102\pi\)
−0.892572 + 0.450904i \(0.851102\pi\)
\(542\) 34.4515 17.3422i 1.47982 0.744913i
\(543\) 28.9054 29.4093i 1.24045 1.26207i
\(544\) −9.76578 + 18.0609i −0.418704 + 0.774353i
\(545\) −1.69986 + 3.58198i −0.0728140 + 0.153435i
\(546\) 9.24740 6.77177i 0.395752 0.289805i
\(547\) 19.2618 + 6.25852i 0.823573 + 0.267595i 0.690336 0.723489i \(-0.257463\pi\)
0.133237 + 0.991084i \(0.457463\pi\)
\(548\) −13.9270 10.3282i −0.594934 0.441198i
\(549\) 0.120768 + 6.98801i 0.00515426 + 0.298241i
\(550\) 9.22508 + 43.6039i 0.393359 + 1.85928i
\(551\) −4.02383 −0.171421
\(552\) −9.76736 30.6891i −0.415726 1.30622i
\(553\) 12.2869 37.8150i 0.522490 1.60806i
\(554\) −6.92033 + 42.3519i −0.294017 + 1.79936i
\(555\) 22.1923 0.816839i 0.942009 0.0346729i
\(556\) 6.70668 4.77319i 0.284427 0.202428i
\(557\) 16.8673i 0.714688i −0.933973 0.357344i \(-0.883682\pi\)
0.933973 0.357344i \(-0.116318\pi\)
\(558\) 7.29293 + 13.8851i 0.308734 + 0.587805i
\(559\) 2.18249 3.00394i 0.0923094 0.127053i
\(560\) 29.5339 4.93821i 1.24804 0.208677i
\(561\) −39.1890 5.86030i −1.65456 0.247422i
\(562\) 0.348421 0.675628i 0.0146973 0.0284997i
\(563\) 8.42376 + 6.12022i 0.355019 + 0.257937i 0.750972 0.660334i \(-0.229585\pi\)
−0.395952 + 0.918271i \(0.629585\pi\)
\(564\) 2.37531 + 15.1084i 0.100018 + 0.636180i
\(565\) −41.3949 19.6443i −1.74150 0.826443i
\(566\) −13.6998 + 26.5655i −0.575847 + 1.11663i
\(567\) −28.3170 + 10.2955i −1.18920 + 0.432369i
\(568\) 12.4099 6.09557i 0.520710 0.255765i
\(569\) 17.7676 5.77305i 0.744857 0.242019i 0.0880902 0.996113i \(-0.471924\pi\)
0.656767 + 0.754094i \(0.271924\pi\)
\(570\) −1.59642 8.34673i −0.0668668 0.349606i
\(571\) 18.2308 + 5.92356i 0.762937 + 0.247893i 0.664539 0.747254i \(-0.268628\pi\)
0.0983984 + 0.995147i \(0.468628\pi\)
\(572\) −0.172298 + 17.6185i −0.00720414 + 0.736666i
\(573\) 0.969432 6.48279i 0.0404986 0.270822i
\(574\) 4.74139 0.727216i 0.197902 0.0303534i
\(575\) −17.7935 + 27.6375i −0.742042 + 1.15256i
\(576\) −19.2449 14.3399i −0.801872 0.597496i
\(577\) 22.4704 16.3257i 0.935453 0.679646i −0.0118688 0.999930i \(-0.503778\pi\)
0.947322 + 0.320283i \(0.103778\pi\)
\(578\) 0.872573 5.34009i 0.0362943 0.222118i
\(579\) −14.2954 27.4670i −0.594097 1.14149i
\(580\) 11.4870 + 1.60364i 0.476971 + 0.0665873i
\(581\) −17.4235 + 5.66125i −0.722851 + 0.234868i
\(582\) −10.6366 + 14.7561i −0.440901 + 0.611659i
\(583\) 55.2275 17.9445i 2.28729 0.743186i
\(584\) 23.8004 + 4.12835i 0.984867 + 0.170832i
\(585\) 4.63162 + 8.15213i 0.191494 + 0.337049i
\(586\) 32.0793 + 32.3946i 1.32518 + 1.33821i
\(587\) −0.972383 0.706478i −0.0401345 0.0291595i 0.567537 0.823348i \(-0.307896\pi\)
−0.607672 + 0.794188i \(0.707896\pi\)
\(588\) 12.9957 6.60300i 0.535933 0.272303i
\(589\) −4.64015 + 3.37127i −0.191194 + 0.138911i
\(590\) −7.21757 20.5724i −0.297143 0.846953i
\(591\) −0.514069 3.07359i −0.0211460 0.126430i
\(592\) 18.2881 + 13.8415i 0.751636 + 0.568883i
\(593\) 42.0564i 1.72705i 0.504307 + 0.863524i \(0.331748\pi\)
−0.504307 + 0.863524i \(0.668252\pi\)
\(594\) 13.3834 44.3419i 0.549127 1.81937i
\(595\) 23.8528 13.0119i 0.977869 0.533437i
\(596\) −2.47905 0.0242436i −0.101546 0.000993056i
\(597\) 7.96246 4.14412i 0.325882 0.169608i
\(598\) −9.23324 + 9.14339i −0.377575 + 0.373901i
\(599\) −16.4260 −0.671147 −0.335574 0.942014i \(-0.608930\pi\)
−0.335574 + 0.942014i \(0.608930\pi\)
\(600\) 1.23090 + 24.4640i 0.0502515 + 0.998737i
\(601\) 25.8789 1.05562 0.527812 0.849361i \(-0.323013\pi\)
0.527812 + 0.849361i \(0.323013\pi\)
\(602\) 8.93716 8.85019i 0.364252 0.360707i
\(603\) 10.3450 33.8160i 0.421280 1.37709i
\(604\) 25.1233 + 0.245691i 1.02225 + 0.00999702i
\(605\) −63.7047 8.25921i −2.58997 0.335785i
\(606\) 6.72526 20.9655i 0.273195 0.851663i
\(607\) 40.9111i 1.66053i −0.557369 0.830265i \(-0.688189\pi\)
0.557369 0.830265i \(-0.311811\pi\)
\(608\) 4.17452 7.72038i 0.169299 0.313103i
\(609\) 14.8325 2.48080i 0.601045 0.100527i
\(610\) 7.36512 0.171351i 0.298205 0.00693779i
\(611\) 4.99228 3.62710i 0.201966 0.146737i
\(612\) −20.7616 6.57407i −0.839236 0.265741i
\(613\) −34.4079 24.9988i −1.38972 1.00969i −0.995896 0.0905090i \(-0.971151\pi\)
−0.393828 0.919184i \(-0.628849\pi\)
\(614\) −7.19334 7.26403i −0.290300 0.293153i
\(615\) 0.144332 + 3.92128i 0.00582002 + 0.158121i
\(616\) −10.2003 + 58.8059i −0.410982 + 2.36936i
\(617\) 15.7439 5.11551i 0.633826 0.205942i 0.0255567 0.999673i \(-0.491864\pi\)
0.608269 + 0.793731i \(0.291864\pi\)
\(618\) −7.56899 5.45594i −0.304469 0.219470i
\(619\) −29.0408 + 9.43594i −1.16725 + 0.379262i −0.827616 0.561295i \(-0.810303\pi\)
−0.339634 + 0.940558i \(0.610303\pi\)
\(620\) 14.5900 7.77482i 0.585948 0.312244i
\(621\) 30.0242 16.2918i 1.20483 0.653766i
\(622\) −4.79010 + 29.3151i −0.192066 + 1.17543i
\(623\) 26.1737 19.0163i 1.04863 0.761871i
\(624\) −1.61916 + 9.54714i −0.0648182 + 0.382192i
\(625\) 18.4462 16.8742i 0.737847 0.674967i
\(626\) 5.87360 0.900870i 0.234756 0.0360060i
\(627\) 16.7519 + 2.50507i 0.669007 + 0.100043i
\(628\) −0.172284 + 17.6170i −0.00687488 + 0.702997i
\(629\) 19.7931 + 6.43117i 0.789202 + 0.256427i
\(630\) 11.0307 + 29.7833i 0.439473 + 1.18659i
\(631\) −32.5793 + 10.5857i −1.29696 + 0.421408i −0.874523 0.484983i \(-0.838826\pi\)
−0.422438 + 0.906392i \(0.638826\pi\)
\(632\) 14.8099 + 30.1514i 0.589106 + 1.19936i
\(633\) −13.6868 + 27.4456i −0.544003 + 1.09087i
\(634\) 13.4482 26.0776i 0.534097 1.03568i
\(635\) −22.2323 + 23.5206i −0.882262 + 0.933386i
\(636\) 31.5275 4.95666i 1.25015 0.196544i
\(637\) −4.75821 3.45704i −0.188527 0.136973i
\(638\) −10.5958 + 20.5465i −0.419493 + 0.813444i
\(639\) 8.82351 + 11.7134i 0.349053 + 0.463375i
\(640\) −14.9940 + 20.3760i −0.592690 + 0.805431i
\(641\) 6.08577 8.37634i 0.240373 0.330846i −0.671737 0.740789i \(-0.734452\pi\)
0.912111 + 0.409944i \(0.134452\pi\)
\(642\) −14.1093 4.52595i −0.556849 0.178625i
\(643\) 13.0927i 0.516326i −0.966101 0.258163i \(-0.916883\pi\)
0.966101 0.258163i \(-0.0831171\pi\)
\(644\) −35.8621 + 25.5233i −1.41317 + 1.00576i
\(645\) 6.34973 + 8.09580i 0.250020 + 0.318772i
\(646\) 1.28429 7.85974i 0.0505296 0.309237i
\(647\) 13.8642 42.6697i 0.545059 1.67752i −0.175790 0.984428i \(-0.556248\pi\)
0.720849 0.693092i \(-0.243752\pi\)
\(648\) 11.1033 22.9067i 0.436178 0.899861i
\(649\) 43.4551 1.70576
\(650\) 8.56374 4.93346i 0.335898 0.193506i
\(651\) 15.0259 15.2879i 0.588913 0.599179i
\(652\) −8.34178 6.18619i −0.326689 0.242270i
\(653\) 19.1849 + 6.23355i 0.750762 + 0.243937i 0.659309 0.751872i \(-0.270849\pi\)
0.0914532 + 0.995809i \(0.470849\pi\)
\(654\) −2.56608 3.50419i −0.100342 0.137025i
\(655\) −17.0541 + 9.30320i −0.666360 + 0.363506i
\(656\) −2.44573 + 3.23142i −0.0954899 + 0.126166i
\(657\) 0.442722 + 25.6172i 0.0172722 + 0.999424i
\(658\) 18.6709 9.39861i 0.727869 0.366396i
\(659\) 12.3618 + 8.98135i 0.481546 + 0.349864i 0.801924 0.597426i \(-0.203810\pi\)
−0.320378 + 0.947290i \(0.603810\pi\)
\(660\) −46.8240 13.8275i −1.82262 0.538236i
\(661\) −9.05939 + 6.58203i −0.352369 + 0.256011i −0.749862 0.661594i \(-0.769880\pi\)
0.397493 + 0.917605i \(0.369880\pi\)
\(662\) −11.3885 + 22.0835i −0.442626 + 0.858301i
\(663\) 1.44948 + 8.66638i 0.0562933 + 0.336574i
\(664\) 7.22834 13.6863i 0.280514 0.531133i
\(665\) −10.1962 + 5.56214i −0.395393 + 0.215691i
\(666\) −10.7748 + 21.8106i −0.417513 + 0.845143i
\(667\) −16.2151 + 5.26860i −0.627850 + 0.204001i
\(668\) −7.87007 + 2.47232i −0.304502 + 0.0956569i
\(669\) 11.0939 22.2461i 0.428915 0.860084i
\(670\) −35.7097 10.6912i −1.37959 0.413037i
\(671\) −4.53762 + 13.9654i −0.175173 + 0.539127i
\(672\) −10.6282 + 31.0324i −0.409992 + 1.19710i
\(673\) −33.9636 + 24.6760i −1.30920 + 0.951190i −0.309201 + 0.950997i \(0.600062\pi\)
−1.00000 0.000193836i \(0.999938\pi\)
\(674\) 23.8123 3.65224i 0.917217 0.140679i
\(675\) −25.2404 + 6.15806i −0.971504 + 0.237024i
\(676\) −21.0774 + 6.62129i −0.810669 + 0.254665i
\(677\) −3.51308 4.83533i −0.135018 0.185837i 0.736154 0.676814i \(-0.236640\pi\)
−0.871172 + 0.490977i \(0.836640\pi\)
\(678\) 40.4960 29.6547i 1.55524 1.13888i
\(679\) 23.6445 + 7.68255i 0.907391 + 0.294829i
\(680\) −6.79868 + 21.9257i −0.260717 + 0.840811i
\(681\) 31.9853 + 15.9507i 1.22568 + 0.611233i
\(682\) 4.99562 + 32.5710i 0.191292 + 1.24721i
\(683\) −11.1033 34.1724i −0.424856 1.30757i −0.903132 0.429362i \(-0.858738\pi\)
0.478276 0.878209i \(-0.341262\pi\)
\(684\) 8.87483 + 2.81018i 0.339338 + 0.107450i
\(685\) −17.5134 8.31112i −0.669151 0.317551i
\(686\) 9.30134 + 9.39275i 0.355127 + 0.358617i
\(687\) 2.17596 0.363938i 0.0830181 0.0138851i
\(688\) −0.207818 + 10.6243i −0.00792298 + 0.405047i
\(689\) −7.56885 10.4176i −0.288350 0.396880i
\(690\) −17.3620 31.5451i −0.660960 1.20090i
\(691\) −8.98251 + 12.3634i −0.341711 + 0.470325i −0.944940 0.327243i \(-0.893880\pi\)
0.603229 + 0.797568i \(0.293880\pi\)
\(692\) 10.3684 7.37929i 0.394149 0.280518i
\(693\) −63.2950 + 1.09388i −2.40438 + 0.0415529i
\(694\) −4.98787 9.90872i −0.189337 0.376130i
\(695\) 6.32207 6.68842i 0.239810 0.253706i
\(696\) −7.52986 + 10.2337i −0.285419 + 0.387906i
\(697\) −1.13636 + 3.49735i −0.0430427 + 0.132472i
\(698\) −3.80346 + 3.76644i −0.143963 + 0.142562i
\(699\) 19.0462 + 18.7199i 0.720392 + 0.708050i
\(700\) 31.3242 11.8149i 1.18394 0.446561i
\(701\) 20.5628i 0.776646i 0.921523 + 0.388323i \(0.126946\pi\)
−0.921523 + 0.388323i \(0.873054\pi\)
\(702\) −10.2686 + 0.215992i −0.387563 + 0.00815211i
\(703\) −8.46085 2.74910i −0.319107 0.103684i
\(704\) −28.4292 41.6458i −1.07147 1.56959i
\(705\) 5.87854 + 16.0570i 0.221399 + 0.604740i
\(706\) 11.7043 5.89172i 0.440496 0.221738i
\(707\) −30.0927 −1.13175
\(708\) 23.5844 + 3.76293i 0.886354 + 0.141420i
\(709\) 34.5999 + 25.1383i 1.29943 + 0.944089i 0.999950 0.0100151i \(-0.00318797\pi\)
0.299477 + 0.954104i \(0.403188\pi\)
\(710\) 12.2912 9.37447i 0.461279 0.351818i
\(711\) −28.4591 + 21.4377i −1.06730 + 0.803978i
\(712\) −4.67136 + 26.9309i −0.175066 + 1.00928i
\(713\) −14.2845 + 19.6610i −0.534960 + 0.736310i
\(714\) 0.111637 + 29.7642i 0.00417790 + 1.11390i
\(715\) 3.62802 + 19.3620i 0.135680 + 0.724099i
\(716\) 2.31600 + 0.777635i 0.0865531 + 0.0290616i
\(717\) −6.24683 3.11523i −0.233292 0.116340i
\(718\) 17.4701 2.67949i 0.651978 0.0999978i
\(719\) 12.5987 + 38.7748i 0.469852 + 1.44605i 0.852777 + 0.522275i \(0.174917\pi\)
−0.382926 + 0.923779i \(0.625083\pi\)
\(720\) −24.2154 11.5593i −0.902453 0.430788i
\(721\) −3.94069 + 12.1282i −0.146759 + 0.451678i
\(722\) 3.78413 23.1586i 0.140831 0.861874i
\(723\) −1.45940 + 9.75932i −0.0542757 + 0.362953i
\(724\) 45.4268 14.2705i 1.68827 0.530358i
\(725\) 12.9468 0.729691i 0.480833 0.0271000i
\(726\) 41.1481 57.0845i 1.52715 2.11861i
\(727\) 18.4729 + 25.4258i 0.685122 + 0.942990i 0.999981 0.00614857i \(-0.00195716\pi\)
−0.314859 + 0.949139i \(0.601957\pi\)
\(728\) 13.1009 1.87843i 0.485551 0.0696191i
\(729\) 26.0764 + 7.00163i 0.965792 + 0.259320i
\(730\) 26.9997 0.628152i 0.999302 0.0232489i
\(731\) 2.97963 + 9.17035i 0.110206 + 0.339178i
\(732\) −3.67201 + 7.18648i −0.135721 + 0.265620i
\(733\) −1.03847 3.19608i −0.0383568 0.118050i 0.930045 0.367446i \(-0.119768\pi\)
−0.968402 + 0.249396i \(0.919768\pi\)
\(734\) −2.61228 + 5.06551i −0.0964211 + 0.186971i
\(735\) 12.8237 10.0579i 0.473009 0.370992i
\(736\) 6.71367 36.5772i 0.247469 1.34825i
\(737\) 43.6711 60.1082i 1.60865 2.21411i
\(738\) −3.85383 1.90385i −0.141862 0.0700817i
\(739\) 21.9837 + 30.2580i 0.808685 + 1.11306i 0.991525 + 0.129917i \(0.0414711\pi\)
−0.182840 + 0.983143i \(0.558529\pi\)
\(740\) 23.0579 + 11.2199i 0.847625 + 0.412451i
\(741\) −0.619603 3.70457i −0.0227617 0.136091i
\(742\) −19.6125 38.9615i −0.719998 1.43032i
\(743\) −15.9159 −0.583899 −0.291949 0.956434i \(-0.594304\pi\)
−0.291949 + 0.956434i \(0.594304\pi\)
\(744\) −0.109175 + 18.1098i −0.00400253 + 0.663939i
\(745\) −2.72438 + 0.510488i −0.0998134 + 0.0187028i
\(746\) 0.446748 2.73407i 0.0163566 0.100101i
\(747\) 15.6986 + 4.80251i 0.574382 + 0.175715i
\(748\) −36.7516 27.2547i −1.34377 0.996529i
\(749\) 20.2517i 0.739980i
\(750\) 6.65017 + 26.5664i 0.242830 + 0.970069i
\(751\) 36.0651i 1.31603i 0.753003 + 0.658017i \(0.228605\pi\)
−0.753003 + 0.658017i \(0.771395\pi\)
\(752\) −5.78467 + 16.6857i −0.210945 + 0.608466i
\(753\) −12.7526 24.5026i −0.464729 0.892925i
\(754\) 5.05925 + 0.826684i 0.184247 + 0.0301060i
\(755\) 27.6096 5.17342i 1.00481 0.188280i
\(756\) −34.4468 4.88726i −1.25282 0.177748i
\(757\) 41.5086 1.50866 0.754328 0.656497i \(-0.227963\pi\)
0.754328 + 0.656497i \(0.227963\pi\)
\(758\) −23.3852 + 11.7717i −0.849388 + 0.427566i
\(759\) 70.7862 11.8393i 2.56938 0.429738i
\(760\) 2.90619 9.37244i 0.105419 0.339974i
\(761\) −21.2426 29.2380i −0.770045 1.05988i −0.996311 0.0858106i \(-0.972652\pi\)
0.226266 0.974065i \(-0.427348\pi\)
\(762\) −11.0823 33.6775i −0.401470 1.22001i
\(763\) −3.48920 + 4.80247i −0.126317 + 0.173861i
\(764\) 4.50856 6.07958i 0.163114 0.219951i
\(765\) −24.1964 2.71278i −0.874823 0.0980807i
\(766\) 16.8723 + 8.70104i 0.609621 + 0.314381i
\(767\) −2.97773 9.16450i −0.107520 0.330911i
\(768\) −11.8231 25.0642i −0.426629 0.904426i
\(769\) 11.5628 + 35.5867i 0.416966 + 1.28329i 0.910481 + 0.413551i \(0.135712\pi\)
−0.493516 + 0.869737i \(0.664288\pi\)
\(770\) 1.55204 + 66.7107i 0.0559315 + 2.40409i
\(771\) 35.8709 18.6693i 1.29186 0.672357i
\(772\) 0.349642 35.7529i 0.0125839 1.28678i
\(773\) −2.61384 3.59764i −0.0940132 0.129398i 0.759419 0.650602i \(-0.225483\pi\)
−0.853432 + 0.521204i \(0.825483\pi\)
\(774\) −11.1094 + 1.90096i