Properties

Label 300.2.w.a.103.12
Level $300$
Weight $2$
Character 300.103
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 103.12
Character \(\chi\) \(=\) 300.103
Dual form 300.2.w.a.67.12

$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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 0.998992 0.0448845i \(-0.0142920\pi\)
−0.0448845 + 0.998992i \(0.514292\pi\)
\(8\) 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 0.552437 0.833554i \(-0.313698\pi\)
−0.0430199 + 0.999074i \(0.513698\pi\)
\(12\) 1.13529 1.64655i 0.327730 0.475317i
\(13\) −1.62677 + 3.19271i −0.451184 + 0.885499i 0.547625 + 0.836724i \(0.315532\pi\)
−0.998810 + 0.0487756i \(0.984468\pi\)
\(14\) 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 −0.666626 0.745392i \(-0.732262\pi\)
0.864338 0.502911i \(-0.167738\pi\)
\(18\) −0.931656 1.06396i −0.219593 0.250779i
\(19\) 6.47859 4.70697i 1.48629 1.07985i 0.510828 0.859683i \(-0.329339\pi\)
0.975462 0.220170i \(-0.0706611\pi\)
\(20\) 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 0.870471 + 0.492220i \(0.163815\pi\)
−0.113435 + 0.993545i \(0.536185\pi\)
\(24\) −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 −0.547532 0.836785i \(-0.684433\pi\)
0.965026 + 0.262153i \(0.0844326\pi\)
\(30\) −0.153487 3.15855i −0.0280228 0.576670i
\(31\) 2.52195 + 3.47117i 0.452956 + 0.623440i 0.973029 0.230681i \(-0.0740955\pi\)
−0.520074 + 0.854121i \(0.674095\pi\)
\(32\) −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 0.755485 0.655166i \(-0.227401\pi\)
−0.0859772 + 0.996297i \(0.527401\pi\)
\(38\) −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 0.982399 + 0.186793i \(0.0598092\pi\)
−0.684984 + 0.728558i \(0.740191\pi\)
\(42\) −1.11793 + 4.92334i −0.172500 + 0.759687i
\(43\) −6.90605 + 6.90605i −1.05316 + 1.05316i −0.0546581 + 0.998505i \(0.517407\pi\)
−0.998505 + 0.0546581i \(0.982593\pi\)
\(44\) −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 0.994581 0.103967i \(-0.0331535\pi\)
−0.978030 + 0.208464i \(0.933154\pi\)
\(48\) 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 0.975202 0.221318i \(-0.0710360\pi\)
−0.995863 + 0.0908676i \(0.971036\pi\)
\(54\) 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 0.958400 0.285428i \(-0.0921356\pi\)
−0.943132 + 0.332418i \(0.892136\pi\)
\(60\) −4.01991 + 1.95968i −0.518968 + 0.252994i
\(61\) 3.14261 9.67197i 0.402370 1.23837i −0.520701 0.853739i \(-0.674329\pi\)
0.923071 0.384629i \(-0.125671\pi\)
\(62\) 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 −0.742056 0.670338i \(-0.766149\pi\)
−0.912883 + 0.408222i \(0.866149\pi\)
\(68\) 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 −0.852383 0.522917i \(-0.824844\pi\)
0.760725 + 0.649074i \(0.224844\pi\)
\(72\) 2.82599 + 0.117421i 0.333046 + 0.0138382i
\(73\) 0.731193 0.372562i 0.0855797 0.0436050i −0.410677 0.911781i \(-0.634708\pi\)
0.496257 + 0.868176i \(0.334708\pi\)
\(74\) 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 0.840318 0.542094i \(-0.182368\pi\)
−0.255889 + 0.966706i \(0.582368\pi\)
\(80\) −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 −0.992989 0.118204i \(-0.962286\pi\)
0.980916 + 0.194432i \(0.0622863\pi\)
\(84\) 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 0.0359415 0.999354i \(-0.488557\pi\)
−0.558328 + 0.829620i \(0.688557\pi\)
\(90\) 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 0.287062 0.957912i \(-0.407322\pi\)
0.569023 + 0.822322i \(0.307322\pi\)
\(98\) 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 0.629151 0.777283i \(-0.283403\pi\)
0.838552 + 0.544822i \(0.183403\pi\)
\(104\) −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 0.903751 0.428059i \(-0.140802\pi\)
−0.428059 + 0.903751i \(0.640802\pi\)
\(108\) 0.570915 1.91678i 0.0549363 0.184443i
\(109\) −0.895542 + 0.290979i −0.0857773 + 0.0278707i −0.351591 0.936154i \(-0.614359\pi\)
0.265814 + 0.964024i \(0.414359\pi\)
\(110\) −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 −0.731291 0.682065i \(-0.761082\pi\)
0.981645 + 0.190719i \(0.0610821\pi\)
\(114\) 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 −0.361696 0.932296i \(-0.617802\pi\)
0.541644 + 0.840608i \(0.317802\pi\)
\(128\) 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 −0.999979 0.00645037i \(-0.997947\pi\)
0.302876 0.953030i \(-0.402053\pi\)
\(132\) 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 −0.479158 0.877729i \(-0.659058\pi\)
−0.991739 + 0.128269i \(0.959058\pi\)
\(138\) −5.78984 + 9.71522i −0.492864 + 0.827014i
\(139\) 4.07647 12.5461i 0.345761 1.06414i −0.615414 0.788204i \(-0.711011\pi\)
0.961175 0.275940i \(-0.0889890\pi\)
\(140\) 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 \(0.145566\pi\)
−0.897244 + 0.441535i \(0.854434\pi\)
\(150\) −3.17086 + 6.32026i −0.258899 + 0.516047i
\(151\) 5.33464i 0.434127i −0.976158 0.217063i \(-0.930352\pi\)
0.976158 0.217063i \(-0.0696478\pi\)
\(152\) 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 −0.590647 0.806930i \(-0.701127\pi\)
0.806930 + 0.590647i \(0.201127\pi\)
\(158\) 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 0.847004 0.531586i \(-0.178404\pi\)
0.0677942 + 0.997699i \(0.478404\pi\)
\(164\) −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 −0.259386 0.965774i \(-0.583520\pi\)
−0.545131 + 0.838351i \(0.683520\pi\)
\(168\) −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 −0.950545 0.310586i \(-0.899475\pi\)
−0.307447 + 0.951565i \(0.599475\pi\)
\(174\) 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 0.856359 0.516380i \(-0.172721\pi\)
−0.226477 + 0.974016i \(0.572721\pi\)
\(180\) 3.66385 2.56441i 0.273088 0.191140i
\(181\) 11.7201 8.51513i 0.871146 0.632925i −0.0597480 0.998213i \(-0.519030\pi\)
0.930894 + 0.365289i \(0.119030\pi\)
\(182\) 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 −0.731899 0.681413i \(-0.761366\pi\)
−0.191595 + 0.981474i \(0.561366\pi\)
\(192\) −6.80219 4.21073i −0.490906 0.303883i
\(193\) −1.91194 1.91194i −0.137625 0.137625i 0.634938 0.772563i \(-0.281026\pi\)
−0.772563 + 0.634938i \(0.781026\pi\)
\(194\) −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 −0.177516 0.984118i \(-0.556806\pi\)
0.135281 + 0.990807i \(0.456806\pi\)
\(198\) −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 −0.415220 0.909721i \(-0.636296\pi\)
−0.870641 + 0.491919i \(0.836296\pi\)
\(212\) 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 0.768115 0.640312i \(-0.221195\pi\)
−0.969510 + 0.245052i \(0.921195\pi\)
\(224\) −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 −0.633215 0.773976i \(-0.718265\pi\)
0.253965 + 0.967213i \(0.418265\pi\)
\(228\) −0.395162 16.0111i −0.0261702 1.06036i
\(229\) −6.76671 + 9.31357i −0.447157 + 0.615458i −0.971784 0.235874i \(-0.924205\pi\)
0.524627 + 0.851332i \(0.324205\pi\)
\(230\) −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 −0.873830 0.486231i \(-0.838371\pi\)
−0.981316 + 0.192404i \(0.938371\pi\)
\(234\) 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 −0.945710 0.325011i \(-0.894632\pi\)
0.956132 + 0.292935i \(0.0946321\pi\)
\(240\) 2.70407 8.52573i 0.174547 0.550333i
\(241\) 1.91390 + 5.89039i 0.123285 + 0.379433i 0.993585 0.113090i \(-0.0360748\pi\)
−0.870299 + 0.492523i \(0.836075\pi\)
\(242\) −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 \(0.140168\pi\)
−0.904602 + 0.426257i \(0.859832\pi\)
\(252\) −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 0.236303 0.971679i \(-0.424064\pi\)
0.971679 0.236303i \(-0.0759358\pi\)
\(258\) −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 0.863960 0.503561i \(-0.167977\pi\)
0.100434 + 0.994944i \(0.467977\pi\)
\(264\) −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 0.995182 0.0980409i \(-0.0312576\pi\)
−0.400771 + 0.916178i \(0.631258\pi\)
\(270\) −1.12202 2.95653i −0.0682840 0.179929i
\(271\) 0.441635 0.607859i 0.0268274 0.0369248i −0.795393 0.606095i \(-0.792735\pi\)
0.822220 + 0.569170i \(0.192735\pi\)
\(272\) −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 −0.995780 0.0917765i \(-0.970745\pi\)
0.511056 0.859547i \(-0.329255\pi\)
\(278\) −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 −0.545113 0.838363i \(-0.683513\pi\)
0.628881 + 0.777501i \(0.283513\pi\)
\(282\) −0.771722 + 0.675756i −0.0459554 + 0.0402407i
\(283\) 0.331065 2.09026i 0.0196798 0.124253i −0.975893 0.218251i \(-0.929965\pi\)
0.995572 + 0.0939981i \(0.0299647\pi\)
\(284\) −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 0.835887 0.548902i \(-0.184954\pi\)
−0.548902 + 0.835887i \(0.684954\pi\)
\(294\) −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 0.997733 0.0672912i \(-0.0214356\pi\)
−0.0672912 + 0.997733i \(0.521436\pi\)
\(308\) −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 0.733873 0.679286i \(-0.237711\pi\)
0.194442 + 0.980914i \(0.437711\pi\)
\(312\) 6.29247 7.94501i 0.356241 0.449798i
\(313\) 6.04074 11.8556i 0.341443 0.670119i −0.654886 0.755728i \(-0.727283\pi\)
0.996329 + 0.0856085i \(0.0272834\pi\)
\(314\) −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 −0.903372 0.428857i \(-0.858916\pi\)
0.991682 0.128710i \(-0.0410836\pi\)
\(318\) 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 0.673587 0.739108i \(-0.264753\pi\)
−0.911083 + 0.412222i \(0.864753\pi\)
\(332\) −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 0.644434 0.764660i \(-0.277093\pi\)
−0.239835 + 0.970814i \(0.577093\pi\)
\(338\) 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 0.969221 0.246191i \(-0.0791789\pi\)
−0.997861 + 0.0653646i \(0.979179\pi\)
\(348\) −2.54277 7.21503i −0.136307 0.386766i
\(349\) 5.41345i 0.289775i −0.989448 0.144888i \(-0.953718\pi\)
0.989448 0.144888i \(-0.0462820\pi\)
\(350\) 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 −0.978352 0.206946i \(-0.933647\pi\)
0.866518 0.499145i \(-0.166353\pi\)
\(354\) −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 0.931169 0.364588i \(-0.118790\pi\)
−0.967631 + 0.252370i \(0.918790\pi\)
\(360\) −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 −0.710921 0.703272i \(-0.751722\pi\)
−0.893449 + 0.449165i \(0.851722\pi\)
\(368\) 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 −0.431128 0.902291i \(-0.641884\pi\)
0.476558 + 0.879143i \(0.341884\pi\)
\(374\) −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 0.679424 0.733746i \(-0.262230\pi\)
−0.487880 + 0.872911i \(0.662230\pi\)
\(380\) 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 −0.987672 0.156539i \(-0.949966\pi\)
0.987705 + 0.156330i \(0.0499664\pi\)
\(384\) −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 0.962320 0.271921i \(-0.0876589\pi\)
0.618702 + 0.785626i \(0.287659\pi\)
\(390\) 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 −0.835448 0.549570i \(-0.814792\pi\)
−0.624732 + 0.780839i \(0.714792\pi\)
\(398\) 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 −0.611509 0.791238i \(-0.709437\pi\)
−0.0296432 + 0.999561i \(0.509437\pi\)
\(410\) −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 −0.163722 0.986507i \(-0.552350\pi\)
0.887631 + 0.460556i \(0.152350\pi\)
\(420\) −15.0945 5.20069i −0.736534 0.253768i
\(421\) −6.14229 4.46264i −0.299357 0.217496i 0.427959 0.903798i \(-0.359233\pi\)
−0.727316 + 0.686302i \(0.759233\pi\)
\(422\) 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 0.724951 0.688800i \(-0.241862\pi\)
−0.879110 + 0.476619i \(0.841862\pi\)
\(432\) 1.98957 + 3.47010i 0.0957231 + 0.166955i
\(433\) 11.0230 + 1.74587i 0.529732 + 0.0839013i 0.415571 0.909561i \(-0.363582\pi\)
0.114161 + 0.993462i \(0.463582\pi\)
\(434\) 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 0.426926 + 0.904287i \(0.359596\pi\)
−0.876917 + 0.480642i \(0.840404\pi\)
\(440\) −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 −0.105759 + 0.994392i \(0.533727\pi\)
−0.994392 + 0.105759i \(0.966273\pi\)
\(444\) 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 \(-0.746978\pi\)
0.700362 0.713787i \(-0.253022\pi\)
\(450\) 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 −0.593623 0.804743i \(-0.702303\pi\)
0.804743 + 0.593623i \(0.202303\pi\)
\(458\) 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 0.745327 + 0.666699i \(0.232293\pi\)
−0.994858 + 0.101278i \(0.967707\pi\)
\(462\) −4.59154 + 7.70450i −0.213618 + 0.358446i
\(463\) 3.65507 + 1.86235i 0.169866 + 0.0865509i 0.536856 0.843674i \(-0.319612\pi\)
−0.366990 + 0.930225i \(0.619612\pi\)
\(464\) −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 0.426650 0.904417i \(-0.359694\pi\)
0.126288 + 0.991994i \(0.459694\pi\)
\(468\) −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 0.287173 0.957879i \(-0.407285\pi\)
−0.822256 + 0.569118i \(0.807285\pi\)
\(480\) −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 −0.995612 0.0935824i \(-0.970168\pi\)
0.660915 + 0.750460i \(0.270168\pi\)
\(488\) 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 −0.185297 0.982683i \(-0.559325\pi\)
0.427698 + 0.903922i \(0.359325\pi\)
\(492\) 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 0.152784 0.988260i \(-0.451176\pi\)
0.450695 + 0.892678i \(0.351176\pi\)
\(504\) 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 0.0625186 0.998044i \(-0.480087\pi\)
0.637214 + 0.770687i \(0.280087\pi\)
\(510\) −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 −0.0853650 0.996350i \(-0.527206\pi\)
−0.973964 + 0.226702i \(0.927206\pi\)
\(522\) −5.38704 + 0.490913i −0.235784 + 0.0214867i
\(523\) −19.4370 38.1472i −0.849919 1.66806i −0.738467 0.674289i \(-0.764450\pi\)
−0.111452 0.993770i \(-0.535550\pi\)
\(524\) 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 0.954777 0.297323i \(-0.0960939\pi\)
−0.947193 + 0.320664i \(0.896094\pi\)
\(542\) −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 −0.672695 0.739920i \(-0.734863\pi\)
0.411123 0.911580i \(-0.365137\pi\)
\(548\) 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 −0.637424 0.770513i \(-0.720000\pi\)
0.770513 + 0.637424i \(0.220000\pi\)
\(558\) 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 0.138177 0.990408i \(-0.455876\pi\)
−0.720038 + 0.693935i \(0.755876\pi\)
\(564\) 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 0.913458 + 0.406932i \(0.133402\pi\)
0.104742 + 0.994499i \(0.466598\pi\)
\(570\) −15.8616 19.7405i −0.664368 0.826838i
\(571\) −21.3423 + 29.3752i −0.893147 + 1.22931i 0.0794554 + 0.996838i \(0.474682\pi\)
−0.972603 + 0.232473i \(0.925318\pi\)
\(572\) −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 −0.995362 0.0961960i \(-0.969332\pi\)
0.507235 0.861808i \(-0.330668\pi\)
\(578\) 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 −0.390873 0.920444i \(-0.627827\pi\)
0.974405 0.224800i \(-0.0721730\pi\)
\(588\) 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 0.313933 0.949445i \(-0.398353\pi\)
−0.949445 + 0.313933i \(0.898353\pi\)
\(594\) 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 −0.981007 0.193971i \(-0.937863\pi\)
−0.193971 0.981007i \(-0.562137\pi\)
\(608\) −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 −0.494315 0.869283i \(-0.664581\pi\)
0.993816 0.111042i \(-0.0354189\pi\)
\(614\) 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 −0.479772 0.877393i \(-0.659281\pi\)
0.727420 0.686193i \(-0.240719\pi\)
\(618\) 14.0505 + 16.0459i 0.565194 + 0.645459i
\(619\) 16.7641 12.1798i 0.673805 0.489548i −0.197492 0.980305i \(-0.563280\pi\)
0.871297 + 0.490757i \(0.163280\pi\)
\(620\) 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 0.864681 0.502322i \(-0.167521\pi\)
−0.744938 + 0.667134i \(0.767521\pi\)
\(632\) 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 −0.997008 0.0772982i \(-0.975371\pi\)
0.761162 0.648562i \(-0.224629\pi\)
\(642\) −2.17915 + 9.59690i −0.0860041 + 0.378759i
\(643\) −32.4834 + 32.4834i −1.28102 + 1.28102i −0.340934 + 0.940087i \(0.610743\pi\)
−0.940087 + 0.340934i \(0.889257\pi\)
\(644\) −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 −0.379466 0.925206i \(-0.623892\pi\)
0.0749889 0.997184i \(-0.476108\pi\)
\(648\) 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 0.916730 + 0.399508i \(0.130819\pi\)
−0.748407 + 0.663240i \(0.769181\pi\)
\(654\) −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 0.943316 + 0.331897i \(0.107688\pi\)
−0.568075 + 0.822977i \(0.692312\pi\)
\(660\) −7.86762 + 1.10418i −0.306247 + 0.0429800i
\(661\) −4.52162 + 13.9161i −0.175871 + 0.541275i −0.999672 0.0256039i \(-0.991849\pi\)
0.823801 + 0.566879i \(0.191849\pi\)
\(662\) −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 −0.736353 0.676598i \(-0.763454\pi\)
0.114562 + 0.993416i \(0.463454\pi\)
\(674\) 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 0.968856 0.247625i \(-0.0796500\pi\)
−0.769812 + 0.638271i \(0.779650\pi\)
\(678\) 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 0.746882 + 0.664957i \(0.231550\pi\)
−0.915810 + 0.401612i \(0.868450\pi\)
\(684\) 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 0.0683357 0.997662i \(-0.478231\pi\)
0.641696 + 0.766959i \(0.278231\pi\)
\(692\) 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 0.575730 0.817640i \(-0.304718\pi\)
0.946372 + 0.323078i \(0.104718\pi\)
\(710\) −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 −0.992892 0.119022i \(-0.962024\pi\)
−0.193624 + 0.981076i \(0.562024\pi\)
\(720\) −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 −0.760031 0.649887i \(-0.774816\pi\)
0.0790342 + 0.996872i \(0.474816\pi\)
\(728\) −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 −0.798244 0.602334i \(-0.794238\pi\)
−0.945307 + 0.326182i \(0.894238\pi\)
\(734\) 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 −0.970060 0.242864i \(-0.921913\pi\)
0.927547 + 0.373707i \(0.121913\pi\)
\(740\) 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 −0.665308 0.746569i \(-0.731700\pi\)
0.746569 + 0.665308i \(0.231700\pi\)
\(744\) −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 \(-0.959652\pi\)
0.991977 0.126419i \(-0.0403482\pi\)
\(752\) 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 −0.986582 0.163267i \(-0.947797\pi\)
0.163267 + 0.986582i \(0.447797\pi\)
\(758\) 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 −0.946705 0.322100i \(-0.895611\pi\)
0.955227 + 0.295875i \(0.0956111\pi\)
\(762\) 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 −0.856878 0.515520i \(-0.827599\pi\)
−0.225499 0.974243i \(-0.572401\pi\)
\(770\) −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 −0.119625 0.992819i