Properties

Label 300.2.w.a.67.12
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.12
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.557275 + 1.29979i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.37889 - 1.44868i) q^{4} +(-1.94762 + 1.09854i) q^{5} +(0.753745 - 1.19661i) q^{6} +(2.52433 - 2.52433i) q^{7} +(2.65139 - 0.984953i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.557275 + 1.29979i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.37889 - 1.44868i) q^{4} +(-1.94762 + 1.09854i) q^{5} +(0.753745 - 1.19661i) q^{6} +(2.52433 - 2.52433i) q^{7} +(2.65139 - 0.984953i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.342508 - 3.14367i) q^{10} +(1.68955 - 0.548967i) q^{11} +(1.13529 + 1.64655i) q^{12} +(-1.62677 - 3.19271i) q^{13} +(1.87435 + 4.68784i) q^{14} +(2.09549 - 0.780339i) q^{15} +(-0.197324 + 3.99513i) q^{16} +(0.815187 + 5.14689i) q^{17} +(-0.931656 + 1.06396i) q^{18} +(6.47859 + 4.70697i) q^{19} +(4.27698 + 1.30670i) q^{20} +(-2.88815 + 2.09836i) q^{21} +(-0.228001 + 2.50197i) q^{22} +(3.63061 - 7.12548i) q^{23} +(-2.77283 + 0.558057i) q^{24} +(2.58643 - 4.27907i) q^{25} +(5.05640 - 0.335234i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-7.13771 - 0.176163i) q^{28} +(2.24828 + 3.09449i) q^{29} +(-0.153487 + 3.15855i) q^{30} +(2.52195 - 3.47117i) q^{31} +(-5.08285 - 2.48286i) q^{32} +(-1.75462 + 0.277905i) q^{33} +(-7.14414 - 1.80866i) q^{34} +(-2.14336 + 7.68951i) q^{35} +(-0.863737 - 1.80387i) q^{36} +(4.07246 - 2.07502i) q^{37} +(-9.72841 + 5.79771i) q^{38} +(1.10729 + 3.40789i) q^{39} +(-4.08188 + 4.83097i) q^{40} +(1.90439 - 5.86111i) q^{41} +(-1.11793 - 4.92334i) q^{42} +(-6.90605 - 6.90605i) q^{43} +(-3.12497 - 1.69064i) q^{44} +(-2.19176 + 0.442926i) q^{45} +(7.23836 + 8.68987i) q^{46} +(0.113466 - 0.716398i) q^{47} +(0.819871 - 3.91507i) q^{48} -5.74450i q^{49} +(4.12052 + 5.74642i) q^{50} -5.21104i q^{51} +(-2.38207 + 6.75906i) q^{52} +(-0.150417 + 0.949696i) q^{53} +(1.08663 - 0.905121i) q^{54} +(-2.68753 + 2.92521i) q^{55} +(4.20664 - 9.17933i) q^{56} +(-5.66249 - 5.66249i) q^{57} +(-5.27508 + 1.19780i) q^{58} +(0.117276 - 0.360938i) q^{59} +(-4.01991 - 1.95968i) q^{60} +(3.14261 + 9.67197i) q^{61} +(3.10636 + 5.21239i) q^{62} +(3.18084 - 1.62072i) q^{63} +(6.05974 - 5.22299i) q^{64} +(6.67564 + 4.43111i) q^{65} +(0.616589 - 2.43550i) q^{66} +(-13.5463 + 2.14552i) q^{67} +(6.33212 - 8.27793i) q^{68} +(-4.70059 + 6.46980i) q^{69} +(-8.80028 - 7.07107i) q^{70} +(-0.772327 - 1.06302i) q^{71} +(2.82599 - 0.117421i) q^{72} +(0.731193 + 0.372562i) q^{73} +(0.427607 + 6.44968i) q^{74} +(-3.22398 + 3.82178i) q^{75} +(-2.11439 - 15.8758i) q^{76} +(2.87920 - 5.65075i) q^{77} +(-5.04659 - 0.459889i) q^{78} +(5.19452 - 3.77404i) q^{79} +(-4.00449 - 7.99775i) q^{80} +(0.809017 + 0.587785i) q^{81} +(6.55692 + 5.74154i) q^{82} +(-0.109993 - 0.694468i) q^{83} +(7.02228 + 1.29058i) q^{84} +(-7.24173 - 9.12865i) q^{85} +(12.8250 - 5.12783i) q^{86} +(-1.73651 - 3.40809i) q^{87} +(3.93894 - 3.11965i) q^{88} +(-4.92819 + 1.60126i) q^{89} +(0.645704 - 3.09565i) q^{90} +(-12.1660 - 3.95296i) q^{91} +(-15.3287 + 4.56567i) q^{92} +(-3.03391 + 3.03391i) q^{93} +(0.867933 + 0.546712i) q^{94} +(-17.7886 - 2.05039i) q^{95} +(4.63187 + 3.24743i) q^{96} +(8.43146 + 1.33541i) q^{97} +(7.46663 + 3.20126i) q^{98} +1.77649 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.557275 + 1.29979i −0.394053 + 0.919088i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −1.37889 1.44868i −0.689445 0.724338i
\(5\) −1.94762 + 1.09854i −0.871001 + 0.491281i
\(6\) 0.753745 1.19661i 0.307715 0.488513i
\(7\) 2.52433 2.52433i 0.954108 0.954108i −0.0448845 0.998992i \(-0.514292\pi\)
0.998992 + 0.0448845i \(0.0142920\pi\)
\(8\) 2.65139 0.984953i 0.937408 0.348233i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −0.342508 3.14367i −0.108311 0.994117i
\(11\) 1.68955 0.548967i 0.509417 0.165520i −0.0430199 0.999074i \(-0.513698\pi\)
0.552437 + 0.833554i \(0.313698\pi\)
\(12\) 1.13529 + 1.64655i 0.327730 + 0.475317i
\(13\) −1.62677 3.19271i −0.451184 0.885499i −0.998810 0.0487756i \(-0.984468\pi\)
0.547625 0.836724i \(-0.315532\pi\)
\(14\) 1.87435 + 4.68784i 0.500940 + 1.25288i
\(15\) 2.09549 0.780339i 0.541053 0.201483i
\(16\) −0.197324 + 3.99513i −0.0493310 + 0.998782i
\(17\) 0.815187 + 5.14689i 0.197712 + 1.24830i 0.864338 + 0.502911i \(0.167738\pi\)
−0.666626 + 0.745392i \(0.732262\pi\)
\(18\) −0.931656 + 1.06396i −0.219593 + 0.250779i
\(19\) 6.47859 + 4.70697i 1.48629 + 1.07985i 0.975462 + 0.220170i \(0.0706611\pi\)
0.510828 + 0.859683i \(0.329339\pi\)
\(20\) 4.27698 + 1.30670i 0.956361 + 0.292187i
\(21\) −2.88815 + 2.09836i −0.630245 + 0.457900i
\(22\) −0.228001 + 2.50197i −0.0486101 + 0.533423i
\(23\) 3.63061 7.12548i 0.757035 1.48577i −0.113435 0.993545i \(-0.536185\pi\)
0.870471 0.492220i \(-0.163815\pi\)
\(24\) −2.77283 + 0.558057i −0.566001 + 0.113913i
\(25\) 2.58643 4.27907i 0.517285 0.855813i
\(26\) 5.05640 0.335234i 0.991642 0.0657448i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) −7.13771 0.176163i −1.34890 0.0332916i
\(29\) 2.24828 + 3.09449i 0.417494 + 0.574631i 0.965026 0.262153i \(-0.0844326\pi\)
−0.547532 + 0.836785i \(0.684433\pi\)
\(30\) −0.153487 + 3.15855i −0.0280228 + 0.576670i
\(31\) 2.52195 3.47117i 0.452956 0.623440i −0.520074 0.854121i \(-0.674095\pi\)
0.973029 + 0.230681i \(0.0740955\pi\)
\(32\) −5.08285 2.48286i −0.898530 0.438912i
\(33\) −1.75462 + 0.277905i −0.305441 + 0.0483770i
\(34\) −7.14414 1.80866i −1.22521 0.310183i
\(35\) −2.14336 + 7.68951i −0.362293 + 1.29976i
\(36\) −0.863737 1.80387i −0.143956 0.300646i
\(37\) 4.07246 2.07502i 0.669508 0.341131i −0.0859772 0.996297i \(-0.527401\pi\)
0.755485 + 0.655166i \(0.227401\pi\)
\(38\) −9.72841 + 5.79771i −1.57816 + 0.940512i
\(39\) 1.10729 + 3.40789i 0.177308 + 0.545699i
\(40\) −4.08188 + 4.83097i −0.645403 + 0.763843i
\(41\) 1.90439 5.86111i 0.297416 0.915351i −0.684984 0.728558i \(-0.740191\pi\)
0.982399 0.186793i \(-0.0598092\pi\)
\(42\) −1.11793 4.92334i −0.172500 0.759687i
\(43\) −6.90605 6.90605i −1.05316 1.05316i −0.998505 0.0546581i \(-0.982593\pi\)
−0.0546581 0.998505i \(-0.517407\pi\)
\(44\) −3.12497 1.69064i −0.471107 0.254874i
\(45\) −2.19176 + 0.442926i −0.326728 + 0.0660275i
\(46\) 7.23836 + 8.68987i 1.06724 + 1.28125i
\(47\) 0.113466 0.716398i 0.0165508 0.104497i −0.978030 0.208464i \(-0.933154\pi\)
0.994581 + 0.103967i \(0.0331535\pi\)
\(48\) 0.819871 3.91507i 0.118338 0.565092i
\(49\) 5.74450i 0.820643i
\(50\) 4.12052 + 5.74642i 0.582730 + 0.812666i
\(51\) 5.21104i 0.729692i
\(52\) −2.38207 + 6.75906i −0.330334 + 0.937313i
\(53\) −0.150417 + 0.949696i −0.0206614 + 0.130451i −0.995863 0.0908676i \(-0.971036\pi\)
0.975202 + 0.221318i \(0.0710360\pi\)
\(54\) 1.08663 0.905121i 0.147871 0.123171i
\(55\) −2.68753 + 2.92521i −0.362386 + 0.394435i
\(56\) 4.20664 9.17933i 0.562136 1.22664i
\(57\) −5.66249 5.66249i −0.750015 0.750015i
\(58\) −5.27508 + 1.19780i −0.692651 + 0.157279i
\(59\) 0.117276 0.360938i 0.0152680 0.0469901i −0.943132 0.332418i \(-0.892136\pi\)
0.958400 + 0.285428i \(0.0921356\pi\)
\(60\) −4.01991 1.95968i −0.518968 0.252994i
\(61\) 3.14261 + 9.67197i 0.402370 + 1.23837i 0.923071 + 0.384629i \(0.125671\pi\)
−0.520701 + 0.853739i \(0.674329\pi\)
\(62\) 3.10636 + 5.21239i 0.394508 + 0.661974i
\(63\) 3.18084 1.62072i 0.400749 0.204192i
\(64\) 6.05974 5.22299i 0.757467 0.652873i
\(65\) 6.67564 + 4.43111i 0.828011 + 0.549612i
\(66\) 0.616589 2.43550i 0.0758969 0.299790i
\(67\) −13.5463 + 2.14552i −1.65494 + 0.262116i −0.912883 0.408222i \(-0.866149\pi\)
−0.742056 + 0.670338i \(0.766149\pi\)
\(68\) 6.33212 8.27793i 0.767882 1.00385i
\(69\) −4.70059 + 6.46980i −0.565884 + 0.778873i
\(70\) −8.80028 7.07107i −1.05183 0.845155i
\(71\) −0.772327 1.06302i −0.0916583 0.126157i 0.760725 0.649074i \(-0.224844\pi\)
−0.852383 + 0.522917i \(0.824844\pi\)
\(72\) 2.82599 0.117421i 0.333046 0.0138382i
\(73\) 0.731193 + 0.372562i 0.0855797 + 0.0436050i 0.496257 0.868176i \(-0.334708\pi\)
−0.410677 + 0.911781i \(0.634708\pi\)
\(74\) 0.427607 + 6.44968i 0.0497083 + 0.749760i
\(75\) −3.22398 + 3.82178i −0.372273 + 0.441301i
\(76\) −2.11439 15.8758i −0.242537 1.82107i
\(77\) 2.87920 5.65075i 0.328115 0.643963i
\(78\) −5.04659 0.459889i −0.571414 0.0520722i
\(79\) 5.19452 3.77404i 0.584429 0.424612i −0.255889 0.966706i \(-0.582368\pi\)
0.840318 + 0.542094i \(0.182368\pi\)
\(80\) −4.00449 7.99775i −0.447716 0.894176i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 6.55692 + 5.74154i 0.724090 + 0.634047i
\(83\) −0.109993 0.694468i −0.0120733 0.0762278i 0.980916 0.194432i \(-0.0622863\pi\)
−0.992989 + 0.118204i \(0.962286\pi\)
\(84\) 7.02228 + 1.29058i 0.766194 + 0.140814i
\(85\) −7.24173 9.12865i −0.785475 0.990141i
\(86\) 12.8250 5.12783i 1.38295 0.552948i
\(87\) −1.73651 3.40809i −0.186174 0.365386i
\(88\) 3.93894 3.11965i 0.419892 0.332556i
\(89\) −4.92819 + 1.60126i −0.522387 + 0.169734i −0.558328 0.829620i \(-0.688557\pi\)
0.0359415 + 0.999354i \(0.488557\pi\)
\(90\) 0.645704 3.09565i 0.0680632 0.326310i
\(91\) −12.1660 3.95296i −1.27534 0.414383i
\(92\) −15.3287 + 4.56567i −1.59813 + 0.476004i
\(93\) −3.03391 + 3.03391i −0.314602 + 0.314602i
\(94\) 0.867933 + 0.546712i 0.0895204 + 0.0563891i
\(95\) −17.7886 2.05039i −1.82507 0.210366i
\(96\) 4.63187 + 3.24743i 0.472738 + 0.331439i
\(97\) 8.43146 + 1.33541i 0.856085 + 0.135590i 0.569023 0.822322i \(-0.307322\pi\)
0.287062 + 0.957912i \(0.407322\pi\)
\(98\) 7.46663 + 3.20126i 0.754243 + 0.323377i
\(99\) 1.77649 0.178544
\(100\) −9.76538 + 2.15347i −0.976538 + 0.215347i
\(101\) −6.94087 −0.690643 −0.345321 0.938484i \(-0.612230\pi\)
−0.345321 + 0.938484i \(0.612230\pi\)
\(102\) 6.77324 + 2.90398i 0.670651 + 0.287537i
\(103\) 14.8955 + 2.35922i 1.46770 + 0.232461i 0.838552 0.544822i \(-0.183403\pi\)
0.629151 + 0.777283i \(0.283403\pi\)
\(104\) −7.45787 6.86284i −0.731304 0.672957i
\(105\) 3.31987 7.25954i 0.323986 0.708459i
\(106\) −1.15058 0.724751i −0.111754 0.0703941i
\(107\) 4.92060 4.92060i 0.475692 0.475692i −0.428059 0.903751i \(-0.640802\pi\)
0.903751 + 0.428059i \(0.140802\pi\)
\(108\) 0.570915 + 1.91678i 0.0549363 + 0.184443i
\(109\) −0.895542 0.290979i −0.0857773 0.0278707i 0.265814 0.964024i \(-0.414359\pi\)
−0.351591 + 0.936154i \(0.614359\pi\)
\(110\) −2.30446 5.12336i −0.219721 0.488493i
\(111\) −4.34692 + 1.41240i −0.412592 + 0.134059i
\(112\) 9.58692 + 10.5831i 0.905879 + 1.00001i
\(113\) 2.66129 + 5.22308i 0.250353 + 0.491346i 0.981645 0.190719i \(-0.0610821\pi\)
−0.731291 + 0.682065i \(0.761082\pi\)
\(114\) 10.5156 4.20447i 0.984876 0.393784i
\(115\) 0.756571 + 17.8661i 0.0705506 + 1.66602i
\(116\) 1.38278 7.52398i 0.128388 0.698584i
\(117\) −0.560546 3.53915i −0.0518225 0.327194i
\(118\) 0.403787 + 0.353575i 0.0371716 + 0.0325492i
\(119\) 15.0503 + 10.9346i 1.37965 + 1.00238i
\(120\) 4.78736 4.13294i 0.437024 0.377284i
\(121\) −6.34599 + 4.61063i −0.576908 + 0.419148i
\(122\) −14.3228 1.30522i −1.29672 0.118169i
\(123\) −2.79782 + 5.49103i −0.252271 + 0.495110i
\(124\) −8.50609 + 1.13287i −0.763870 + 0.101735i
\(125\) −0.336646 + 11.1753i −0.0301105 + 0.999547i
\(126\) 0.333988 + 5.03760i 0.0297540 + 0.448785i
\(127\) 2.02791 + 1.03327i 0.179948 + 0.0916881i 0.541644 0.840608i \(-0.317802\pi\)
−0.361696 + 0.932296i \(0.617802\pi\)
\(128\) 3.41183 + 10.7870i 0.301566 + 0.953445i
\(129\) 5.74068 + 7.90137i 0.505439 + 0.695677i
\(130\) −9.47967 + 6.20756i −0.831422 + 0.544439i
\(131\) −7.97871 + 10.9818i −0.697103 + 0.959480i 0.302876 + 0.953030i \(0.402053\pi\)
−0.999979 + 0.00645037i \(0.997947\pi\)
\(132\) 2.82203 + 2.15868i 0.245626 + 0.187889i
\(133\) 28.2360 4.47215i 2.44838 0.387785i
\(134\) 4.76027 18.8029i 0.411225 1.62432i
\(135\) 2.23407 0.0946055i 0.192278 0.00814235i
\(136\) 7.23082 + 12.8435i 0.620037 + 1.10132i
\(137\) −17.2164 + 8.77220i −1.47090 + 0.749460i −0.991739 0.128269i \(-0.959058\pi\)
−0.479158 + 0.877729i \(0.659058\pi\)
\(138\) −5.78984 9.71522i −0.492864 0.827014i
\(139\) 4.07647 + 12.5461i 0.345761 + 1.06414i 0.961175 + 0.275940i \(0.0889890\pi\)
−0.615414 + 0.788204i \(0.711011\pi\)
\(140\) 14.0951 7.49796i 1.19125 0.633693i
\(141\) −0.224139 + 0.689828i −0.0188759 + 0.0580940i
\(142\) 1.81209 0.411468i 0.152067 0.0345296i
\(143\) −4.50119 4.50119i −0.376409 0.376409i
\(144\) −1.42223 + 3.73862i −0.118519 + 0.311551i
\(145\) −7.77819 3.55705i −0.645944 0.295397i
\(146\) −0.891726 + 0.742776i −0.0737998 + 0.0614726i
\(147\) −0.898638 + 5.67378i −0.0741184 + 0.467965i
\(148\) −8.62150 3.03845i −0.708683 0.249759i
\(149\) 10.7792i 0.883069i −0.897244 0.441535i \(-0.854434\pi\)
0.897244 0.441535i \(-0.145566\pi\)
\(150\) −3.17086 6.32026i −0.258899 0.516047i
\(151\) 5.33464i 0.434127i 0.976158 + 0.217063i \(0.0696478\pi\)
−0.976158 + 0.217063i \(0.930352\pi\)
\(152\) 21.8134 + 6.09891i 1.76930 + 0.494687i
\(153\) −0.815187 + 5.14689i −0.0659039 + 0.416101i
\(154\) 5.74026 + 6.89137i 0.462564 + 0.555322i
\(155\) −1.09858 + 9.53097i −0.0882403 + 0.765546i
\(156\) 3.41009 6.30321i 0.273026 0.504660i
\(157\) 2.71002 + 2.71002i 0.216283 + 0.216283i 0.806930 0.590647i \(-0.201127\pi\)
−0.590647 + 0.806930i \(0.701127\pi\)
\(158\) 2.01067 + 8.85494i 0.159960 + 0.704461i
\(159\) 0.297130 0.914473i 0.0235640 0.0725224i
\(160\) 12.6270 0.748043i 0.998250 0.0591380i
\(161\) −8.82221 27.1520i −0.695287 2.13987i
\(162\) −1.21484 + 0.723992i −0.0954468 + 0.0568822i
\(163\) 11.6794 5.95093i 0.914798 0.466113i 0.0677942 0.997699i \(-0.478404\pi\)
0.847004 + 0.531586i \(0.178404\pi\)
\(164\) −11.1168 + 5.32298i −0.868075 + 0.415655i
\(165\) 3.11204 2.46877i 0.242272 0.192194i
\(166\) 0.963957 + 0.244042i 0.0748176 + 0.0189413i
\(167\) −10.3967 + 1.64667i −0.804517 + 0.127423i −0.545131 0.838351i \(-0.683520\pi\)
−0.259386 + 0.965774i \(0.583520\pi\)
\(168\) −5.59081 + 8.40826i −0.431341 + 0.648711i
\(169\) 0.0941679 0.129611i 0.00724368 0.00997007i
\(170\) 15.9009 4.32553i 1.21955 0.331753i
\(171\) 4.70697 + 6.47859i 0.359951 + 0.495430i
\(172\) −0.481945 + 19.5273i −0.0367480 + 1.48894i
\(173\) −16.5463 8.43077i −1.25799 0.640979i −0.307447 0.951565i \(-0.599475\pi\)
−0.950545 + 0.310586i \(0.899475\pi\)
\(174\) 5.39751 0.357849i 0.409184 0.0271285i
\(175\) −4.27279 17.3308i −0.322992 1.31008i
\(176\) 1.85981 + 6.85828i 0.140188 + 0.516962i
\(177\) −0.172295 + 0.338148i −0.0129505 + 0.0254168i
\(178\) 0.665051 7.29794i 0.0498476 0.547003i
\(179\) 8.42724 6.12275i 0.629882 0.457636i −0.226477 0.974016i \(-0.572721\pi\)
0.856359 + 0.516380i \(0.172721\pi\)
\(180\) 3.66385 + 2.56441i 0.273088 + 0.191140i
\(181\) 11.7201 + 8.51513i 0.871146 + 0.632925i 0.930894 0.365289i \(-0.119030\pi\)
−0.0597480 + 0.998213i \(0.519030\pi\)
\(182\) 11.9178 13.6103i 0.883406 1.00886i
\(183\) −1.59089 10.0445i −0.117602 0.742511i
\(184\) 2.60791 22.4684i 0.192258 1.65639i
\(185\) −5.65210 + 8.51510i −0.415550 + 0.626042i
\(186\) −2.25272 5.63416i −0.165177 0.413117i
\(187\) 4.20277 + 8.24839i 0.307337 + 0.603182i
\(188\) −1.19429 + 0.823458i −0.0871023 + 0.0600569i
\(189\) −3.39522 + 1.10317i −0.246966 + 0.0802441i
\(190\) 12.5782 21.9787i 0.912519 1.59451i
\(191\) −12.7629 4.14693i −0.923494 0.300061i −0.191595 0.981474i \(-0.561366\pi\)
−0.731899 + 0.681413i \(0.761366\pi\)
\(192\) −6.80219 + 4.21073i −0.490906 + 0.303883i
\(193\) −1.91194 + 1.91194i −0.137625 + 0.137625i −0.772563 0.634938i \(-0.781026\pi\)
0.634938 + 0.772563i \(0.281026\pi\)
\(194\) −6.43439 + 10.2149i −0.461962 + 0.733387i
\(195\) −5.90027 5.42086i −0.422527 0.388196i
\(196\) −8.32192 + 7.92104i −0.594423 + 0.565788i
\(197\) −0.592792 0.0938891i −0.0422347 0.00668932i 0.135281 0.990807i \(-0.456806\pi\)
−0.177516 + 0.984118i \(0.556806\pi\)
\(198\) −0.989995 + 2.30906i −0.0703559 + 0.164098i
\(199\) −13.4831 −0.955790 −0.477895 0.878417i \(-0.658600\pi\)
−0.477895 + 0.878417i \(0.658600\pi\)
\(200\) 2.64294 13.8930i 0.186884 0.982382i
\(201\) 13.7151 0.967389
\(202\) 3.86797 9.02165i 0.272150 0.634761i
\(203\) 13.4869 + 2.13611i 0.946595 + 0.149926i
\(204\) −7.54911 + 7.18546i −0.528544 + 0.503083i
\(205\) 2.72963 + 13.5072i 0.190646 + 0.943386i
\(206\) −11.3674 + 18.0463i −0.792004 + 1.25735i
\(207\) 5.65481 5.65481i 0.393037 0.393037i
\(208\) 13.0763 5.86915i 0.906679 0.406952i
\(209\) 13.5298 + 4.39611i 0.935879 + 0.304085i
\(210\) 7.58578 + 8.36068i 0.523468 + 0.576942i
\(211\) −18.6782 + 6.06892i −1.28586 + 0.417802i −0.870641 0.491919i \(-0.836296\pi\)
−0.415220 + 0.909721i \(0.636296\pi\)
\(212\) 1.58321 1.09162i 0.108735 0.0749728i
\(213\) 0.596526 + 1.17075i 0.0408733 + 0.0802183i
\(214\) 3.65360 + 9.13785i 0.249755 + 0.624651i
\(215\) 21.0369 + 5.86378i 1.43471 + 0.399907i
\(216\) −2.80956 0.326107i −0.191167 0.0221888i
\(217\) −2.39614 15.1286i −0.162660 1.02700i
\(218\) 0.877273 1.00186i 0.0594164 0.0678544i
\(219\) −0.663910 0.482359i −0.0448629 0.0325948i
\(220\) 7.94349 0.140185i 0.535550 0.00945128i
\(221\) 15.1064 10.9755i 1.01617 0.738289i
\(222\) 0.586610 6.43717i 0.0393707 0.432034i
\(223\) −3.00746 + 5.90248i −0.201395 + 0.395259i −0.969510 0.245052i \(-0.921195\pi\)
0.768115 + 0.640312i \(0.221195\pi\)
\(224\) −19.0984 + 6.56323i −1.27606 + 0.438525i
\(225\) 3.78214 3.27038i 0.252143 0.218026i
\(226\) −8.27195 + 0.548422i −0.550242 + 0.0364805i
\(227\) −5.71398 2.91142i −0.379250 0.193237i 0.253965 0.967213i \(-0.418265\pi\)
−0.633215 + 0.773976i \(0.718265\pi\)
\(228\) −0.395162 + 16.0111i −0.0261702 + 1.06036i
\(229\) −6.76671 9.31357i −0.447157 0.615458i 0.524627 0.851332i \(-0.324205\pi\)
−0.971784 + 0.235874i \(0.924205\pi\)
\(230\) −23.6437 8.97293i −1.55902 0.591658i
\(231\) −3.72773 + 5.13077i −0.245266 + 0.337580i
\(232\) 9.00897 + 5.99024i 0.591468 + 0.393279i
\(233\) −28.3176 + 4.48506i −1.85515 + 0.293826i −0.981316 0.192404i \(-0.938371\pi\)
−0.873830 + 0.486231i \(0.838371\pi\)
\(234\) 4.91252 + 1.24369i 0.321141 + 0.0813024i
\(235\) 0.566002 + 1.51992i 0.0369219 + 0.0991484i
\(236\) −0.684592 + 0.327799i −0.0445631 + 0.0213379i
\(237\) −5.72095 + 2.91497i −0.371616 + 0.189348i
\(238\) −22.5998 + 13.4685i −1.46493 + 0.873034i
\(239\) 0.161118 + 0.495869i 0.0104218 + 0.0320751i 0.956132 0.292935i \(-0.0946321\pi\)
−0.945710 + 0.325011i \(0.894632\pi\)
\(240\) 2.70407 + 8.52573i 0.174547 + 0.550333i
\(241\) 1.91390 5.89039i 0.123285 0.379433i −0.870299 0.492523i \(-0.836075\pi\)
0.993585 + 0.113090i \(0.0360748\pi\)
\(242\) −2.45638 10.8178i −0.157902 0.695395i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 9.67823 17.8892i 0.619585 1.14524i
\(245\) 6.31056 + 11.1881i 0.403167 + 0.714781i
\(246\) −5.57802 6.69658i −0.355641 0.426959i
\(247\) 4.48884 28.3414i 0.285618 1.80332i
\(248\) 3.26774 11.6874i 0.207502 0.742152i
\(249\) 0.703125i 0.0445587i
\(250\) −14.3379 6.66526i −0.906806 0.421548i
\(251\) 13.5063i 0.852513i −0.904602 0.426257i \(-0.859832\pi\)
0.904602 0.426257i \(-0.140168\pi\)
\(252\) −6.73393 2.37322i −0.424198 0.149499i
\(253\) 2.22244 14.0319i 0.139723 0.882179i
\(254\) −2.47314 + 2.06003i −0.155178 + 0.129258i
\(255\) 5.72453 + 10.1491i 0.358484 + 0.635562i
\(256\) −15.9221 1.57667i −0.995133 0.0985420i
\(257\) 19.3654 + 19.3654i 1.20798 + 1.20798i 0.971679 + 0.236303i \(0.0759358\pi\)
0.236303 + 0.971679i \(0.424064\pi\)
\(258\) −13.4692 + 3.05843i −0.838558 + 0.190409i
\(259\) 5.04219 15.5183i 0.313307 0.964259i
\(260\) −2.78573 15.7809i −0.172763 0.978687i
\(261\) 1.18199 + 3.63779i 0.0731632 + 0.225173i
\(262\) −9.82760 16.4905i −0.607151 1.01878i
\(263\) 15.6398 7.96889i 0.964393 0.491383i 0.100434 0.994944i \(-0.467977\pi\)
0.863960 + 0.503561i \(0.167977\pi\)
\(264\) −4.37847 + 2.46505i −0.269476 + 0.151714i
\(265\) −0.750323 2.01488i −0.0460920 0.123773i
\(266\) −9.92239 + 39.1931i −0.608381 + 2.40308i
\(267\) 5.11801 0.810612i 0.313217 0.0496087i
\(268\) 21.7870 + 16.6657i 1.33085 + 1.01802i
\(269\) 9.74908 13.4185i 0.594412 0.818137i −0.400771 0.916178i \(-0.631258\pi\)
0.995182 + 0.0980409i \(0.0312576\pi\)
\(270\) −1.12202 + 2.95653i −0.0682840 + 0.179929i
\(271\) 0.441635 + 0.607859i 0.0268274 + 0.0369248i 0.822220 0.569170i \(-0.192735\pi\)
−0.795393 + 0.606095i \(0.792735\pi\)
\(272\) −20.7233 + 2.24117i −1.25654 + 0.135891i
\(273\) 11.3978 + 5.80747i 0.689827 + 0.351484i
\(274\) −1.80772 27.2662i −0.109208 1.64721i
\(275\) 2.02082 8.64954i 0.121860 0.521587i
\(276\) 15.8542 2.11152i 0.954313 0.127099i
\(277\) −8.06741 + 15.8332i −0.484724 + 0.951324i 0.511056 + 0.859547i \(0.329255\pi\)
−0.995780 + 0.0917765i \(0.970745\pi\)
\(278\) −18.5789 1.69307i −1.11429 0.101544i
\(279\) 3.47117 2.52195i 0.207813 0.150985i
\(280\) 1.89093 + 22.4990i 0.113005 + 1.34457i
\(281\) 1.40422 + 1.02023i 0.0837687 + 0.0608616i 0.628881 0.777501i \(-0.283513\pi\)
−0.545113 + 0.838363i \(0.683513\pi\)
\(282\) −0.771722 0.675756i −0.0459554 0.0402407i
\(283\) 0.331065 + 2.09026i 0.0196798 + 0.124253i 0.995572 0.0939981i \(-0.0299647\pi\)
−0.975893 + 0.218251i \(0.929965\pi\)
\(284\) −0.475013 + 2.58463i −0.0281868 + 0.153370i
\(285\) 17.2488 + 4.80790i 1.02173 + 0.284795i
\(286\) 8.35899 3.34219i 0.494278 0.197628i
\(287\) −9.98807 19.6027i −0.589577 1.15711i
\(288\) −4.06683 3.93203i −0.239640 0.231697i
\(289\) −9.65795 + 3.13806i −0.568115 + 0.184592i
\(290\) 8.95800 8.12773i 0.526032 0.477277i
\(291\) −8.11875 2.63794i −0.475929 0.154639i
\(292\) −0.468514 1.57298i −0.0274177 0.0920519i
\(293\) 4.91240 4.91240i 0.286985 0.286985i −0.548902 0.835887i \(-0.684954\pi\)
0.835887 + 0.548902i \(0.184954\pi\)
\(294\) −6.87391 4.32989i −0.400895 0.252524i
\(295\) 0.168096 + 0.831800i 0.00978691 + 0.0484293i
\(296\) 8.75388 9.51287i 0.508809 0.552924i
\(297\) −1.75462 0.277905i −0.101814 0.0161257i
\(298\) 14.0107 + 6.00699i 0.811618 + 0.347976i
\(299\) −28.6558 −1.65721
\(300\) 9.98202 0.599316i 0.576312 0.0346015i
\(301\) −34.8663 −2.00966
\(302\) −6.93389 2.97286i −0.399001 0.171069i
\(303\) 6.85542 + 1.08579i 0.393834 + 0.0623771i
\(304\) −20.0833 + 24.9540i −1.15186 + 1.43121i
\(305\) −16.7456 15.3850i −0.958853 0.880943i
\(306\) −6.23557 3.92780i −0.356464 0.224537i
\(307\) 16.3027 16.3027i 0.930442 0.930442i −0.0672912 0.997733i \(-0.521436\pi\)
0.997733 + 0.0672912i \(0.0214356\pi\)
\(308\) −12.1562 + 3.62073i −0.692664 + 0.206310i
\(309\) −14.3431 4.66035i −0.815950 0.265118i
\(310\) −11.7760 6.73929i −0.668832 0.382766i
\(311\) 16.3710 5.31926i 0.928315 0.301628i 0.194442 0.980914i \(-0.437711\pi\)
0.733873 + 0.679286i \(0.237711\pi\)
\(312\) 6.29247 + 7.94501i 0.356241 + 0.449798i
\(313\) 6.04074 + 11.8556i 0.341443 + 0.670119i 0.996329 0.0856085i \(-0.0272834\pi\)
−0.654886 + 0.755728i \(0.727283\pi\)
\(314\) −5.03267 + 2.01222i −0.284010 + 0.113556i
\(315\) −4.41464 + 6.65082i −0.248737 + 0.374731i
\(316\) −12.6300 2.32119i −0.710495 0.130577i
\(317\) 1.57231 + 9.92720i 0.0883099 + 0.557567i 0.991682 + 0.128710i \(0.0410836\pi\)
−0.903372 + 0.428857i \(0.858916\pi\)
\(318\) 1.02304 + 0.895818i 0.0573690 + 0.0502350i
\(319\) 5.49733 + 3.99405i 0.307792 + 0.223624i
\(320\) −6.06439 + 16.8292i −0.339010 + 0.940783i
\(321\) −5.62977 + 4.09027i −0.314223 + 0.228296i
\(322\) 40.2081 + 3.66411i 2.24071 + 0.204193i
\(323\) −18.9450 + 37.1816i −1.05413 + 2.06884i
\(324\) −0.264035 1.98249i −0.0146686 0.110139i
\(325\) −17.8693 1.29666i −0.991213 0.0719259i
\(326\) 1.22633 + 18.4970i 0.0679201 + 1.02445i
\(327\) 0.838997 + 0.427490i 0.0463966 + 0.0236403i
\(328\) −0.723634 17.4158i −0.0399560 0.961627i
\(329\) −1.52200 2.09485i −0.0839106 0.115493i
\(330\) 1.47462 + 5.42078i 0.0811749 + 0.298404i
\(331\) −4.32087 + 5.94717i −0.237496 + 0.326886i −0.911083 0.412222i \(-0.864753\pi\)
0.673587 + 0.739108i \(0.264753\pi\)
\(332\) −0.854391 + 1.11694i −0.0468908 + 0.0613000i
\(333\) 4.51435 0.715003i 0.247385 0.0391819i
\(334\) 3.65347 14.4311i 0.199909 0.789633i
\(335\) 24.0260 19.0597i 1.31268 1.04134i
\(336\) −7.81332 11.9526i −0.426252 0.652066i
\(337\) 7.42745 3.78448i 0.404599 0.206154i −0.239835 0.970814i \(-0.577093\pi\)
0.644434 + 0.764660i \(0.277093\pi\)
\(338\) 0.115989 + 0.194627i 0.00630898 + 0.0105863i
\(339\) −1.81146 5.57509i −0.0983848 0.302797i
\(340\) −3.23891 + 23.0783i −0.175655 + 1.25160i
\(341\) 2.35540 7.24917i 0.127552 0.392564i
\(342\) −11.0439 + 2.50770i −0.597183 + 0.135601i
\(343\) 3.16929 + 3.16929i 0.171126 + 0.171126i
\(344\) −25.1128 11.5085i −1.35399 0.620497i
\(345\) 2.04761 17.7645i 0.110240 0.956407i
\(346\) 20.1790 16.8084i 1.08483 0.903626i
\(347\) −0.533505 + 3.36842i −0.0286400 + 0.180826i −0.997861 0.0653646i \(-0.979179\pi\)
0.969221 + 0.246191i \(0.0791789\pi\)
\(348\) −2.54277 + 7.21503i −0.136307 + 0.386766i
\(349\) 5.41345i 0.289775i 0.989448 + 0.144888i \(0.0462820\pi\)
−0.989448 + 0.144888i \(0.953718\pi\)
\(350\) 24.9074 + 4.10429i 1.33136 + 0.219384i
\(351\) 3.58327i 0.191261i
\(352\) −9.95072 1.40460i −0.530375 0.0748652i
\(353\) −2.10117 + 13.2663i −0.111834 + 0.706092i 0.866518 + 0.499145i \(0.166353\pi\)
−0.978352 + 0.206946i \(0.933647\pi\)
\(354\) −0.343505 0.412388i −0.0182571 0.0219182i
\(355\) 2.67196 + 1.22192i 0.141813 + 0.0648527i
\(356\) 9.11514 + 4.93138i 0.483102 + 0.261362i
\(357\) −13.1544 13.1544i −0.696205 0.696205i
\(358\) 3.26198 + 14.3657i 0.172401 + 0.759249i
\(359\) −0.690853 + 2.12623i −0.0364618 + 0.112218i −0.967631 0.252370i \(-0.918790\pi\)
0.931169 + 0.364588i \(0.118790\pi\)
\(360\) −5.37495 + 3.33315i −0.283285 + 0.175672i
\(361\) 13.9452 + 42.9189i 0.733958 + 2.25889i
\(362\) −17.5992 + 10.4883i −0.924991 + 0.551254i
\(363\) 6.98912 3.56113i 0.366833 0.186911i
\(364\) 11.0490 + 23.0753i 0.579124 + 1.20947i
\(365\) −1.83336 + 0.0776368i −0.0959623 + 0.00406370i
\(366\) 13.9423 + 3.52973i 0.728774 + 0.184502i
\(367\) −30.7353 + 4.86799i −1.60437 + 0.254107i −0.893449 0.449165i \(-0.851722\pi\)
−0.710921 + 0.703272i \(0.751722\pi\)
\(368\) 27.7508 + 15.9108i 1.44661 + 0.829408i
\(369\) 3.62236 4.98575i 0.188573 0.259548i
\(370\) −7.91804 12.0918i −0.411639 0.628621i
\(371\) 2.01764 + 2.77705i 0.104751 + 0.144177i
\(372\) 8.57859 + 0.211724i 0.444779 + 0.0109774i
\(373\) 0.877412 + 0.447064i 0.0454307 + 0.0231481i 0.476558 0.879143i \(-0.341884\pi\)
−0.431128 + 0.902291i \(0.641884\pi\)
\(374\) −13.0632 + 0.866079i −0.675484 + 0.0447839i
\(375\) 2.08070 10.9850i 0.107447 0.567264i
\(376\) −0.404775 2.01121i −0.0208747 0.103720i
\(377\) 6.22238 12.2121i 0.320469 0.628956i
\(378\) 0.458179 5.02783i 0.0235662 0.258604i
\(379\) 3.72897 2.70926i 0.191544 0.139165i −0.487880 0.872911i \(-0.662230\pi\)
0.679424 + 0.733746i \(0.262230\pi\)
\(380\) 21.5582 + 28.5972i 1.10591 + 1.46700i
\(381\) −1.84130 1.33779i −0.0943329 0.0685369i
\(382\) 12.5026 14.2781i 0.639688 0.730532i
\(383\) 0.000646826 0.00408390i 3.30513e−5 0.000208678i 0.987705 0.156330i \(-0.0499664\pi\)
−0.987672 + 0.156539i \(0.949966\pi\)
\(384\) −1.68237 11.1879i −0.0858529 0.570931i
\(385\) 0.599987 + 14.1684i 0.0305782 + 0.722089i
\(386\) −1.41964 3.55060i −0.0722578 0.180721i
\(387\) −4.43396 8.70213i −0.225391 0.442354i
\(388\) −9.69147 14.0558i −0.492010 0.713577i
\(389\) 31.1826 10.1318i 1.58102 0.513705i 0.618702 0.785626i \(-0.287659\pi\)
0.962320 + 0.271921i \(0.0876589\pi\)
\(390\) 10.3340 4.64819i 0.523284 0.235370i
\(391\) 39.6337 + 12.8778i 2.00436 + 0.651256i
\(392\) −5.65806 15.2309i −0.285775 0.769277i
\(393\) 9.59841 9.59841i 0.484176 0.484176i
\(394\) 0.452384 0.718182i 0.0227908 0.0361815i
\(395\) −5.97100 + 13.0568i −0.300434 + 0.656957i
\(396\) −2.44959 2.57356i −0.123097 0.129326i
\(397\) −29.0939 4.60802i −1.46018 0.231270i −0.624732 0.780839i \(-0.714792\pi\)
−0.835448 + 0.549570i \(0.814792\pi\)
\(398\) 7.51377 17.5251i 0.376631 0.878455i
\(399\) −28.5880 −1.43119
\(400\) 16.5851 + 11.1775i 0.829253 + 0.558873i
\(401\) 9.63208 0.481003 0.240501 0.970649i \(-0.422688\pi\)
0.240501 + 0.970649i \(0.422688\pi\)
\(402\) −7.64308 + 17.8267i −0.381202 + 0.889116i
\(403\) −15.1851 2.40508i −0.756422 0.119806i
\(404\) 9.57070 + 10.0551i 0.476160 + 0.500259i
\(405\) −2.22136 0.256044i −0.110380 0.0127229i
\(406\) −10.2924 + 16.3397i −0.510803 + 0.810925i
\(407\) 5.74149 5.74149i 0.284595 0.284595i
\(408\) −5.13263 13.8165i −0.254103 0.684019i
\(409\) −12.9665 4.21307i −0.641152 0.208323i −0.0296432 0.999561i \(-0.509437\pi\)
−0.611509 + 0.791238i \(0.709437\pi\)
\(410\) −19.0777 3.97930i −0.942179 0.196524i
\(411\) 18.3767 5.97096i 0.906457 0.294526i
\(412\) −17.1216 24.8319i −0.843519 1.22338i
\(413\) −0.615083 1.20717i −0.0302663 0.0594009i
\(414\) 4.19877 + 10.5013i 0.206358 + 0.516113i
\(415\) 0.977125 + 1.23173i 0.0479652 + 0.0604631i
\(416\) 0.341553 + 20.2671i 0.0167460 + 0.993678i
\(417\) −2.06364 13.0293i −0.101057 0.638048i
\(418\) −13.2538 + 15.1361i −0.648267 + 0.740329i
\(419\) 14.8180 + 10.7659i 0.723908 + 0.525950i 0.887631 0.460556i \(-0.152350\pi\)
−0.163722 + 0.986507i \(0.552350\pi\)
\(420\) −15.0945 + 5.20069i −0.736534 + 0.253768i
\(421\) −6.14229 + 4.46264i −0.299357 + 0.217496i −0.727316 0.686302i \(-0.759233\pi\)
0.427959 + 0.903798i \(0.359233\pi\)
\(422\) 2.52059 27.6597i 0.122701 1.34646i
\(423\) 0.329292 0.646272i 0.0160107 0.0314228i
\(424\) 0.536591 + 2.66617i 0.0260592 + 0.129481i
\(425\) 24.1323 + 9.82380i 1.17059 + 0.476524i
\(426\) −1.85415 + 0.122928i −0.0898339 + 0.00595589i
\(427\) 32.3483 + 16.4823i 1.56544 + 0.797632i
\(428\) −13.9133 0.343388i −0.672526 0.0165983i
\(429\) 3.74164 + 5.14992i 0.180648 + 0.248640i
\(430\) −19.3450 + 24.0758i −0.932899 + 1.16104i
\(431\) −3.20041 + 4.40499i −0.154158 + 0.212181i −0.879110 0.476619i \(-0.841862\pi\)
0.724951 + 0.688800i \(0.241862\pi\)
\(432\) 1.98957 3.47010i 0.0957231 0.166955i
\(433\) 11.0230 1.74587i 0.529732 0.0839013i 0.114161 0.993462i \(-0.463582\pi\)
0.415571 + 0.909561i \(0.363582\pi\)
\(434\) 20.9993 + 5.31633i 1.00800 + 0.255192i
\(435\) 7.12598 + 4.73004i 0.341665 + 0.226788i
\(436\) 0.813319 + 1.69858i 0.0389509 + 0.0813471i
\(437\) 57.0607 29.0739i 2.72958 1.39079i
\(438\) 0.996943 0.594135i 0.0476358 0.0283888i
\(439\) −9.42835 29.0175i −0.449991 1.38493i −0.876917 0.480642i \(-0.840404\pi\)
0.426926 0.904287i \(-0.359596\pi\)
\(440\) −4.24449 + 10.4030i −0.202348 + 0.495942i
\(441\) 1.77515 5.46335i 0.0845309 0.260159i
\(442\) 5.84732 + 25.7514i 0.278129 + 1.22487i
\(443\) −23.1555 23.1555i −1.10015 1.10015i −0.994392 0.105759i \(-0.966273\pi\)
−0.105759 0.994392i \(-0.533727\pi\)
\(444\) 8.04004 + 4.34974i 0.381563 + 0.206429i
\(445\) 7.83917 8.53246i 0.371612 0.404477i
\(446\) −5.99598 7.19837i −0.283918 0.340852i
\(447\) −1.68624 + 10.6465i −0.0797566 + 0.503563i
\(448\) 2.11224 28.4813i 0.0997938 1.34562i
\(449\) 30.2498i 1.42757i 0.700362 + 0.713787i \(0.253022\pi\)
−0.700362 + 0.713787i \(0.746978\pi\)
\(450\) 2.14311 + 6.73848i 0.101027 + 0.317655i
\(451\) 10.9481i 0.515524i
\(452\) 3.89692 11.0574i 0.183296 0.520096i
\(453\) 0.834521 5.26896i 0.0392092 0.247557i
\(454\) 6.96847 5.80449i 0.327047 0.272418i
\(455\) 28.0371 5.66593i 1.31440 0.265623i
\(456\) −20.5908 9.43619i −0.964251 0.441890i
\(457\) 4.51323 + 4.51323i 0.211120 + 0.211120i 0.804743 0.593623i \(-0.202303\pi\)
−0.593623 + 0.804743i \(0.702303\pi\)
\(458\) 15.8766 3.60506i 0.741863 0.168453i
\(459\) 1.61030 4.95600i 0.0751624 0.231326i
\(460\) 24.8389 25.7314i 1.15812 1.19973i
\(461\) −5.35766 16.4892i −0.249531 0.767977i −0.994858 0.101278i \(-0.967707\pi\)
0.745327 0.666699i \(-0.232293\pi\)
\(462\) −4.59154 7.70450i −0.213618 0.358446i
\(463\) 3.65507 1.86235i 0.169866 0.0865509i −0.366990 0.930225i \(-0.619612\pi\)
0.536856 + 0.843674i \(0.319612\pi\)
\(464\) −12.8065 + 8.37153i −0.594527 + 0.388639i
\(465\) 2.57603 9.24177i 0.119460 0.428577i
\(466\) 9.95104 39.3062i 0.460973 1.82083i
\(467\) 11.9491 1.89255i 0.552938 0.0875768i 0.126288 0.991994i \(-0.459694\pi\)
0.426650 + 0.904417i \(0.359694\pi\)
\(468\) −4.35415 + 5.69215i −0.201271 + 0.263120i
\(469\) −28.7792 + 39.6112i −1.32890 + 1.82908i
\(470\) −2.29099 0.111329i −0.105675 0.00513521i
\(471\) −2.25272 3.10060i −0.103800 0.142868i
\(472\) −0.0445627 1.07250i −0.00205116 0.0493657i
\(473\) −15.4593 7.87690i −0.710819 0.362180i
\(474\) −0.600699 9.06046i −0.0275910 0.416161i
\(475\) 36.8978 15.5481i 1.69299 0.713395i
\(476\) −4.91188 36.8806i −0.225136 1.69042i
\(477\) −0.436527 + 0.856733i −0.0199872 + 0.0392271i
\(478\) −0.734311 0.0669167i −0.0335866 0.00306070i
\(479\) −11.7109 + 8.50844i −0.535083 + 0.388761i −0.822256 0.569118i \(-0.807285\pi\)
0.287173 + 0.957879i \(0.407285\pi\)
\(480\) −12.5885 1.23646i −0.574585 0.0564365i
\(481\) −13.2499 9.62661i −0.604143 0.438936i
\(482\) 6.58968 + 5.77023i 0.300152 + 0.262827i
\(483\) 4.46609 + 28.1978i 0.203214 + 1.28304i
\(484\) 15.4297 + 2.83573i 0.701351 + 0.128897i
\(485\) −17.8882 + 6.66141i −0.812264 + 0.302479i
\(486\) 1.31314 0.525035i 0.0595653 0.0238161i
\(487\) −7.38610 14.4960i −0.334696 0.656878i 0.660915 0.750460i \(-0.270168\pi\)
−0.995612 + 0.0935824i \(0.970168\pi\)
\(488\) 17.8587 + 22.5488i 0.808426 + 1.02074i
\(489\) −12.4665 + 4.05061i −0.563755 + 0.183175i
\(490\) −18.0588 + 1.96754i −0.815815 + 0.0888844i
\(491\) 5.37125 + 1.74523i 0.242401 + 0.0787609i 0.427698 0.903922i \(-0.359325\pi\)
−0.185297 + 0.982683i \(0.559325\pi\)
\(492\) 11.8126 3.51839i 0.532554 0.158621i
\(493\) −14.0942 + 14.0942i −0.634771 + 0.634771i
\(494\) 34.3363 + 21.6285i 1.54486 + 0.973111i
\(495\) −3.45993 + 1.95155i −0.155512 + 0.0877155i
\(496\) 13.3701 + 10.7605i 0.600336 + 0.483159i
\(497\) −4.63302 0.733798i −0.207819 0.0329153i
\(498\) −0.913913 0.391834i −0.0409534 0.0175585i
\(499\) −42.0345 −1.88172 −0.940861 0.338792i \(-0.889982\pi\)
−0.940861 + 0.338792i \(0.889982\pi\)
\(500\) 16.6535 14.9218i 0.744769 0.667322i
\(501\) 10.5262 0.470278
\(502\) 17.5554 + 7.52674i 0.783534 + 0.335935i
\(503\) 13.5346 + 2.14367i 0.603479 + 0.0955817i 0.450695 0.892678i \(-0.351176\pi\)
0.152784 + 0.988260i \(0.451176\pi\)
\(504\) 6.83732 7.43014i 0.304559 0.330965i
\(505\) 13.5182 7.62482i 0.601550 0.339300i
\(506\) 17.0000 + 10.7083i 0.755742 + 0.476043i
\(507\) −0.113284 + 0.113284i −0.00503112 + 0.00503112i
\(508\) −1.29939 4.36255i −0.0576511 0.193557i
\(509\) 15.7867 + 5.12941i 0.699733 + 0.227357i 0.637214 0.770687i \(-0.280087\pi\)
0.0625186 + 0.998044i \(0.480087\pi\)
\(510\) −16.3818 + 1.78483i −0.725399 + 0.0790334i
\(511\) 2.78624 0.905305i 0.123256 0.0400484i
\(512\) 10.9223 19.8167i 0.482703 0.875784i
\(513\) −3.63554 7.13516i −0.160513 0.315025i
\(514\) −35.9628 + 14.3791i −1.58625 + 0.634233i
\(515\) −31.6025 + 11.7685i −1.39257 + 0.518581i
\(516\) 3.53076 19.2115i 0.155433 0.845740i
\(517\) −0.201572 1.27268i −0.00886514 0.0559723i
\(518\) 17.3606 + 15.2017i 0.762779 + 0.667925i
\(519\) 15.0237 + 10.9154i 0.659469 + 0.479132i
\(520\) 22.0642 + 5.17342i 0.967578 + 0.226870i
\(521\) −24.1796 + 17.5675i −1.05933 + 0.769648i −0.973964 0.226702i \(-0.927206\pi\)
−0.0853650 + 0.996350i \(0.527206\pi\)
\(522\) −5.38704 0.490913i −0.235784 0.0214867i
\(523\) −19.4370 + 38.1472i −0.849919 + 1.66806i −0.111452 + 0.993770i \(0.535550\pi\)
−0.738467 + 0.674289i \(0.764450\pi\)
\(524\) 26.9108 3.58406i 1.17560 0.156571i
\(525\) 1.50905 + 17.7858i 0.0658604 + 0.776237i
\(526\) 1.64218 + 24.7693i 0.0716024 + 1.07999i
\(527\) 19.9216 + 10.1505i 0.867797 + 0.442165i
\(528\) −0.764037 7.06478i −0.0332504 0.307455i
\(529\) −24.0721 33.1324i −1.04661 1.44054i
\(530\) 3.03705 + 0.147583i 0.131921 + 0.00641061i
\(531\) 0.223072 0.307032i 0.00968049 0.0133240i
\(532\) −45.4131 34.7383i −1.96891 1.50610i
\(533\) −21.8108 + 3.45450i −0.944732 + 0.149631i
\(534\) −1.79851 + 7.10405i −0.0778292 + 0.307422i
\(535\) −4.17797 + 14.9889i −0.180630 + 0.648027i
\(536\) −33.8032 + 19.0310i −1.46007 + 0.822015i
\(537\) −9.28130 + 4.72906i −0.400518 + 0.204074i
\(538\) 12.0082 + 20.1495i 0.517711 + 0.868706i
\(539\) −3.15354 9.70560i −0.135833 0.418050i
\(540\) −3.21758 3.10599i −0.138463 0.133660i
\(541\) 0.176397 0.542895i 0.00758391 0.0233409i −0.947193 0.320664i \(-0.896094\pi\)
0.954777 + 0.297323i \(0.0960939\pi\)
\(542\) −1.03620 + 0.235287i −0.0445086 + 0.0101065i
\(543\) −10.2437 10.2437i −0.439600 0.439600i
\(544\) 8.63554 28.1849i 0.370246 1.20842i
\(545\) 2.06382 0.417071i 0.0884045 0.0178654i
\(546\) −13.9002 + 11.5784i −0.594873 + 0.495508i
\(547\) −6.11765 + 38.6253i −0.261572 + 1.65150i 0.411123 + 0.911580i \(0.365137\pi\)
−0.672695 + 0.739920i \(0.734863\pi\)
\(548\) 36.4476 + 12.8451i 1.55696 + 0.548716i
\(549\) 10.1697i 0.434033i
\(550\) 10.1164 + 7.44680i 0.431365 + 0.317533i
\(551\) 30.6304i 1.30490i
\(552\) −6.09064 + 21.7838i −0.259235 + 0.927181i
\(553\) 3.58576 22.6396i 0.152482 0.962734i
\(554\) −16.0840 19.3093i −0.683344 0.820375i
\(555\) 6.91457 7.52608i 0.293507 0.319464i
\(556\) 12.5542 23.2051i 0.532417 0.984117i
\(557\) 3.14101 + 3.14101i 0.133089 + 0.133089i 0.770513 0.637424i \(-0.220000\pi\)
−0.637424 + 0.770513i \(0.720000\pi\)
\(558\) 1.34360 + 5.91720i 0.0568793 + 0.250495i
\(559\) −10.8145 + 33.2836i −0.457404 + 1.40775i
\(560\) −30.2976 10.0803i −1.28031 0.425971i
\(561\) −2.86069 8.80430i −0.120778 0.371718i
\(562\) −2.10861 + 1.25664i −0.0889464 + 0.0530082i
\(563\) −13.8062 + 7.03460i −0.581861 + 0.296473i −0.720038 0.693935i \(-0.755876\pi\)
0.138177 + 0.990408i \(0.455876\pi\)
\(564\) 1.30840 0.626493i 0.0550936 0.0263801i
\(565\) −10.9209 7.24902i −0.459447 0.304969i
\(566\) −2.90139 0.734537i −0.121955 0.0308749i
\(567\) 3.52599 0.558462i 0.148078 0.0234532i
\(568\) −3.09476 2.05777i −0.129853 0.0863420i
\(569\) 24.2879 33.4294i 1.01820 1.40143i 0.104742 0.994499i \(-0.466598\pi\)
0.913458 0.406932i \(-0.133402\pi\)
\(570\) −15.8616 + 19.7405i −0.664368 + 0.826838i
\(571\) −21.3423 29.3752i −0.893147 1.22931i −0.972603 0.232473i \(-0.925318\pi\)
0.0794554 0.996838i \(-0.474682\pi\)
\(572\) −0.314120 + 12.7274i −0.0131340 + 0.532160i
\(573\) 11.9571 + 6.09244i 0.499514 + 0.254515i
\(574\) 31.0454 2.05828i 1.29581 0.0859108i
\(575\) −21.1001 33.9652i −0.879935 1.41645i
\(576\) 7.37714 3.09479i 0.307381 0.128950i
\(577\) −11.7252 + 23.0120i −0.488127 + 0.958004i 0.507235 + 0.861808i \(0.330668\pi\)
−0.995362 + 0.0961960i \(0.969332\pi\)
\(578\) 1.30332 14.3020i 0.0542111 0.594886i
\(579\) 2.18750 1.58931i 0.0909094 0.0660495i
\(580\) 5.57225 + 16.1729i 0.231375 + 0.671542i
\(581\) −2.03073 1.47541i −0.0842488 0.0612103i
\(582\) 7.95313 9.08258i 0.329668 0.376485i
\(583\) 0.267215 + 1.68713i 0.0110669 + 0.0698737i
\(584\) 2.30563 + 0.267615i 0.0954078 + 0.0110740i
\(585\) 4.97962 + 6.27713i 0.205882 + 0.259527i
\(586\) 3.64752 + 9.12263i 0.150678 + 0.376852i
\(587\) 14.1378 + 27.7471i 0.583531 + 1.14524i 0.974405 + 0.224800i \(0.0721730\pi\)
−0.390873 + 0.920444i \(0.627827\pi\)
\(588\) 9.45859 6.52168i 0.390066 0.268950i
\(589\) 32.6774 10.6175i 1.34645 0.437487i
\(590\) −1.17484 0.245053i −0.0483673 0.0100887i
\(591\) 0.570807 + 0.185466i 0.0234799 + 0.00762907i
\(592\) 7.48638 + 16.6794i 0.307688 + 0.685521i
\(593\) −15.4757 + 15.4757i −0.635512 + 0.635512i −0.949445 0.313933i \(-0.898353\pi\)
0.313933 + 0.949445i \(0.398353\pi\)
\(594\) 1.33902 2.12577i 0.0549408 0.0872212i
\(595\) −41.3243 4.76322i −1.69413 0.195273i
\(596\) −15.6156 + 14.8634i −0.639641 + 0.608828i
\(597\) 13.3171 + 2.10922i 0.545032 + 0.0863245i
\(598\) 15.9691 37.2464i 0.653027 1.52312i
\(599\) −31.3256 −1.27993 −0.639964 0.768405i \(-0.721051\pi\)
−0.639964 + 0.768405i \(0.721051\pi\)
\(600\) −4.78375 + 13.3085i −0.195296 + 0.543317i
\(601\) 28.3857 1.15788 0.578938 0.815371i \(-0.303467\pi\)
0.578938 + 0.815371i \(0.303467\pi\)
\(602\) 19.4301 45.3188i 0.791913 1.84706i
\(603\) −13.5463 2.14552i −0.551646 0.0873722i
\(604\) 7.72816 7.35588i 0.314454 0.299306i
\(605\) 7.29460 15.9510i 0.296567 0.648502i
\(606\) −5.23165 + 8.30550i −0.212521 + 0.337388i
\(607\) −28.9484 + 28.9484i −1.17498 + 1.17498i −0.193971 + 0.981007i \(0.562137\pi\)
−0.981007 + 0.193971i \(0.937863\pi\)
\(608\) −21.2429 40.0103i −0.861515 1.62263i
\(609\) −12.9867 4.21963i −0.526247 0.170988i
\(610\) 29.3291 13.1921i 1.18750 0.534132i
\(611\) −2.47184 + 0.803149i −0.0999998 + 0.0324919i
\(612\) 8.58022 5.91605i 0.346835 0.239142i
\(613\) 12.3671 + 24.2717i 0.499501 + 0.980325i 0.993816 + 0.111042i \(0.0354189\pi\)
−0.494315 + 0.869283i \(0.664581\pi\)
\(614\) 12.1049 + 30.2750i 0.488515 + 1.22180i
\(615\) −0.583028 13.7679i −0.0235100 0.555177i
\(616\) 2.06816 17.8182i 0.0833287 0.717916i
\(617\) 6.15144 + 38.8387i 0.247648 + 1.56359i 0.727420 + 0.686193i \(0.240719\pi\)
−0.479772 + 0.877393i \(0.659281\pi\)
\(618\) 14.0505 16.0459i 0.565194 0.645459i
\(619\) 16.7641 + 12.1798i 0.673805 + 0.489548i 0.871297 0.490757i \(-0.163280\pi\)
−0.197492 + 0.980305i \(0.563280\pi\)
\(620\) 15.3221 11.5507i 0.615351 0.463886i
\(621\) −6.46980 + 4.70059i −0.259624 + 0.188628i
\(622\) −2.20924 + 24.2431i −0.0885825 + 0.972060i
\(623\) −8.39825 + 16.4825i −0.336469 + 0.660358i
\(624\) −13.8335 + 3.75131i −0.553781 + 0.150173i
\(625\) −11.6208 22.1350i −0.464832 0.885399i
\(626\) −18.7761 + 1.24484i −0.750445 + 0.0497537i
\(627\) −12.6756 6.45852i −0.506213 0.257928i
\(628\) 0.189121 7.66276i 0.00754676 0.305778i
\(629\) 13.9997 + 19.2689i 0.558205 + 0.768303i
\(630\) −6.18448 9.44443i −0.246396 0.376275i
\(631\) 3.00791 4.14003i 0.119743 0.164812i −0.744938 0.667134i \(-0.767521\pi\)
0.864681 + 0.502322i \(0.167521\pi\)
\(632\) 10.0554 15.1228i 0.399984 0.601553i
\(633\) 19.3976 3.07228i 0.770987 0.122112i
\(634\) −13.7794 3.48850i −0.547252 0.138546i
\(635\) −5.08468 + 0.215320i −0.201780 + 0.00854472i
\(636\) −1.73448 + 0.830512i −0.0687768 + 0.0329320i
\(637\) −18.3405 + 9.34497i −0.726679 + 0.370261i
\(638\) −8.25493 + 4.91958i −0.326816 + 0.194768i
\(639\) −0.406036 1.24965i −0.0160625 0.0494354i
\(640\) −18.4949 17.2609i −0.731074 0.682298i
\(641\) −5.97115 + 18.3773i −0.235846 + 0.725860i 0.761162 + 0.648562i \(0.224629\pi\)
−0.997008 + 0.0772982i \(0.975371\pi\)
\(642\) −2.17915 9.59690i −0.0860041 0.378759i
\(643\) −32.4834 32.4834i −1.28102 1.28102i −0.940087 0.340934i \(-0.889257\pi\)
−0.340934 0.940087i \(-0.610743\pi\)
\(644\) −27.1695 + 50.2201i −1.07063 + 1.97895i
\(645\) −19.8606 9.08249i −0.782011 0.357623i
\(646\) −37.7706 45.3448i −1.48606 1.78407i
\(647\) −7.74473 + 48.8983i −0.304477 + 1.92239i 0.0749889 + 0.997184i \(0.476108\pi\)
−0.379466 + 0.925206i \(0.623892\pi\)
\(648\) 2.72396 + 0.761605i 0.107007 + 0.0299187i
\(649\) 0.674201i 0.0264647i
\(650\) 11.6435 22.5037i 0.456696 0.882669i
\(651\) 15.3172i 0.600328i
\(652\) −24.7255 8.71393i −0.968327 0.341264i
\(653\) 4.30130 27.1573i 0.168323 1.06275i −0.748407 0.663240i \(-0.769181\pi\)
0.916730 0.399508i \(-0.130819\pi\)
\(654\) −1.02320 + 0.852287i −0.0400102 + 0.0333271i
\(655\) 3.47559 30.1532i 0.135803 1.17818i
\(656\) 23.0401 + 8.76482i 0.899565 + 0.342209i
\(657\) 0.580278 + 0.580278i 0.0226388 + 0.0226388i
\(658\) 3.57103 0.810867i 0.139213 0.0316109i
\(659\) 9.63281 29.6468i 0.375241 1.15487i −0.568075 0.822977i \(-0.692312\pi\)
0.943316 0.331897i \(-0.107688\pi\)
\(660\) −7.86762 1.10418i −0.306247 0.0429800i
\(661\) −4.52162 13.9161i −0.175871 0.541275i 0.823801 0.566879i \(-0.191849\pi\)
−0.999672 + 0.0256039i \(0.991849\pi\)
\(662\) −5.32214 8.93041i −0.206851 0.347090i
\(663\) −16.6374 + 8.47716i −0.646142 + 0.329226i
\(664\) −0.975653 1.73297i −0.0378627 0.0672522i
\(665\) −50.0802 + 39.7284i −1.94203 + 1.54060i
\(666\) −1.58638 + 6.26615i −0.0614711 + 0.242808i
\(667\) 30.2123 4.78516i 1.16983 0.185282i
\(668\) 16.7213 + 12.7908i 0.646968 + 0.494891i
\(669\) 3.89379 5.35934i 0.150543 0.207204i
\(670\) 11.3845 + 41.8502i 0.439822 + 1.61681i
\(671\) 10.6192 + 14.6160i 0.409949 + 0.564246i
\(672\) 19.8900 3.49479i 0.767272 0.134814i
\(673\) −16.1307 8.21898i −0.621791 0.316818i 0.114562 0.993416i \(-0.463454\pi\)
−0.736353 + 0.676598i \(0.763454\pi\)
\(674\) 0.779880 + 11.7631i 0.0300399 + 0.453097i
\(675\) −4.24718 + 2.63846i −0.163474 + 0.101554i
\(676\) −0.317611 + 0.0423005i −0.0122158 + 0.00162694i
\(677\) 5.17897 10.1643i 0.199044 0.390646i −0.769812 0.638271i \(-0.779650\pi\)
0.968856 + 0.247625i \(0.0796500\pi\)
\(678\) 8.25590 + 0.752349i 0.317066 + 0.0288938i
\(679\) 24.6548 17.9128i 0.946165 0.687429i
\(680\) −28.1919 17.0709i −1.08111 0.654637i
\(681\) 5.18818 + 3.76943i 0.198812 + 0.144445i
\(682\) 8.10977 + 7.10129i 0.310539 + 0.271922i
\(683\) −4.41481 27.8740i −0.168928 1.06657i −0.915810 0.401612i \(-0.868450\pi\)
0.746882 0.664957i \(-0.231550\pi\)
\(684\) 2.89498 15.7521i 0.110692 0.602298i
\(685\) 23.8944 35.9978i 0.912957 1.37540i
\(686\) −5.88557 + 2.35324i −0.224712 + 0.0898471i
\(687\) 5.22643 + 10.2575i 0.199401 + 0.391346i
\(688\) 28.9533 26.2278i 1.10383 0.999927i
\(689\) 3.27680 1.06470i 0.124836 0.0405617i
\(690\) 21.9489 + 12.5612i 0.835582 + 0.478195i
\(691\) 18.6645 + 6.06447i 0.710032 + 0.230703i 0.641696 0.766959i \(-0.278231\pi\)
0.0683357 + 0.997662i \(0.478231\pi\)
\(692\) 10.6021 + 35.5953i 0.403031 + 1.35313i
\(693\) 4.48446 4.48446i 0.170351 0.170351i
\(694\) −4.08091 2.57058i −0.154909 0.0975777i
\(695\) −21.7217 19.9568i −0.823953 0.757004i
\(696\) −7.96098 7.32581i −0.301760 0.277684i
\(697\) 31.7189 + 5.02378i 1.20144 + 0.190289i
\(698\) −7.03632 3.01678i −0.266329 0.114187i
\(699\) 28.6706 1.08442
\(700\) −19.2150 + 30.0871i −0.726258 + 1.13719i
\(701\) −17.2805 −0.652676 −0.326338 0.945253i \(-0.605815\pi\)
−0.326338 + 0.945253i \(0.605815\pi\)
\(702\) −4.65748 1.99686i −0.175785 0.0753667i
\(703\) 36.1508 + 5.72573i 1.36345 + 0.215950i
\(704\) 7.37096 12.1511i 0.277803 0.457961i
\(705\) −0.321266 1.58975i −0.0120996 0.0598733i
\(706\) −16.0724 10.1240i −0.604892 0.381022i
\(707\) −17.5211 + 17.5211i −0.658948 + 0.658948i
\(708\) 0.727443 0.216669i 0.0273390 0.00814293i
\(709\) 40.5291 + 13.1687i 1.52210 + 0.494561i 0.946372 0.323078i \(-0.104718\pi\)
0.575730 + 0.817640i \(0.304718\pi\)
\(710\) −3.07725 + 2.79204i −0.115487 + 0.104783i
\(711\) 6.10652 1.98413i 0.229012 0.0744107i
\(712\) −11.4894 + 9.09961i −0.430583 + 0.341022i
\(713\) −15.5775 30.5726i −0.583382 1.14495i
\(714\) 24.4285 9.76730i 0.914215 0.365532i
\(715\) 13.7113 + 3.82187i 0.512775 + 0.142930i
\(716\) −20.4901 3.76575i −0.765752 0.140733i
\(717\) −0.0815630 0.514969i −0.00304603 0.0192319i
\(718\) −2.37865 2.08285i −0.0887703 0.0777314i
\(719\) −31.8154 23.1153i −1.18652 0.862054i −0.193624 0.981076i \(-0.562024\pi\)
−0.992892 + 0.119022i \(0.962024\pi\)
\(720\) −1.33706 8.84377i −0.0498292 0.329588i
\(721\) 43.5568 31.6458i 1.62214 1.17855i
\(722\) −63.5567 5.79184i −2.36534 0.215550i
\(723\) −2.81180 + 5.51847i −0.104572 + 0.205234i
\(724\) −3.82503 28.7200i −0.142156 1.06737i
\(725\) 19.0565 1.61686i 0.707741 0.0600488i
\(726\) 0.733855 + 11.0689i 0.0272359 + 0.410805i
\(727\) −18.3617 9.35574i −0.680997 0.346985i 0.0790342 0.996872i \(-0.474816\pi\)
−0.760031 + 0.649887i \(0.774816\pi\)
\(728\) −36.1502 + 1.50206i −1.33982 + 0.0556699i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 0.920772 2.42624i 0.0340793 0.0897991i
\(731\) 29.9150 41.1744i 1.10644 1.52289i
\(732\) −12.3576 + 16.1550i −0.456749 + 0.597104i
\(733\) −47.2049 + 7.47652i −1.74355 + 0.276151i −0.945307 0.326182i \(-0.894238\pi\)
−0.798244 + 0.602334i \(0.794238\pi\)
\(734\) 10.8007 42.6621i 0.398659 1.57469i
\(735\) −4.48266 12.0375i −0.165345 0.444011i
\(736\) −36.1455 + 27.2035i −1.33234 + 1.00273i
\(737\) −21.7092 + 11.0614i −0.799669 + 0.407452i
\(738\) 4.46177 + 7.48673i 0.164240 + 0.275590i
\(739\) −1.15571 3.55691i −0.0425135 0.130843i 0.927547 0.373707i \(-0.121913\pi\)
−0.970060 + 0.242864i \(0.921913\pi\)
\(740\) 20.1292 3.55333i 0.739966 0.130623i
\(741\) −8.86715 + 27.2903i −0.325743 + 1.00253i
\(742\) −4.73395 + 1.07493i −0.173789 + 0.0394619i
\(743\) 2.21502 + 2.21502i 0.0812612 + 0.0812612i 0.746569 0.665308i \(-0.231700\pi\)
−0.665308 + 0.746569i \(0.731700\pi\)
\(744\) −5.05582 + 11.0323i −0.185356 + 0.404465i
\(745\) 11.8414 + 20.9938i 0.433836 + 0.769154i
\(746\) −1.07005 + 0.891311i −0.0391772 + 0.0326332i
\(747\) 0.109993 0.694468i 0.00402443 0.0254093i
\(748\) 6.15410 17.4621i 0.225016 0.638477i
\(749\) 24.8425i 0.907723i
\(750\) 13.1187 + 8.82614i 0.479026 + 0.322285i
\(751\) 6.92884i 0.252837i 0.991977 + 0.126419i \(0.0403482\pi\)
−0.991977 + 0.126419i \(0.959652\pi\)
\(752\) 2.83971 + 0.594675i 0.103554 + 0.0216856i
\(753\) −2.11286 + 13.3401i −0.0769968 + 0.486139i
\(754\) 12.4056 + 14.8933i 0.451784 + 0.542381i
\(755\) −5.86031 10.3898i −0.213278 0.378125i
\(756\) 6.27977 + 3.39742i 0.228393 + 0.123563i
\(757\) −22.6524 22.6524i −0.823315 0.823315i 0.163267 0.986582i \(-0.447797\pi\)
−0.986582 + 0.163267i \(0.947797\pi\)
\(758\) 1.44339 + 6.35667i 0.0524265 + 0.230885i
\(759\) −4.39015 + 13.5115i −0.159352 + 0.490436i
\(760\) −49.1840 + 12.0845i −1.78409 + 0.438352i
\(761\) 0.235070 + 0.723470i 0.00852126 + 0.0262258i 0.955227 0.295875i \(-0.0956111\pi\)
−0.946705 + 0.322100i \(0.895611\pi\)
\(762\) 2.76495 1.64779i 0.100164 0.0596931i
\(763\) −2.99517 + 1.52612i −0.108433 + 0.0552491i
\(764\) 11.5911 + 24.2075i 0.419353 + 0.875798i
\(765\) −4.06638 10.9197i −0.147020 0.394802i
\(766\) −0.00566866 0.00143512i −0.000204817 5.18529e-5i
\(767\) −1.34315 + 0.212734i −0.0484984 + 0.00768139i
\(768\) 15.4795 + 4.04803i 0.558567 + 0.146071i
\(769\) −30.0152 + 41.3124i −1.08238 + 1.48976i −0.225499 + 0.974243i \(0.572401\pi\)
−0.856878 + 0.515520i \(0.827599\pi\)
\(770\) −18.7503 7.11584i −0.675713 0.256437i
\(771\) −16.0976 22.1564i −0.579741 0.797944i
\(772\) 5.40615 + 0.133427i 0.194572 + 0.00480213i
\(773\) 17.0506 + 8.68774i 0.613269 + 0.312476i 0.732894 0.680343i \(-0.238169